From ad10eb4df479342124d18b6ec1d78273883abb6c Mon Sep 17 00:00:00 2001 From: caes Date: Wed, 26 Apr 2017 06:08:31 -0400 Subject: [PATCH] adding feedback papers --- adv_lab.bib | 61 + feedback/papers/0506398.pdf | Bin 0 -> 2145986 bytes feedback/papers/0506398/0506398.tar | Bin 0 -> 3174400 bytes feedback/papers/0506398/f1.ps | 1878 +++++ feedback/papers/0506398/f10.ps | 1466 ++++ feedback/papers/0506398/f11.ps | 890 +++ feedback/papers/0506398/f12.ps | 471 ++ feedback/papers/0506398/f13.ps | 822 ++ feedback/papers/0506398/f14.ps | 4122 ++++++++++ feedback/papers/0506398/f15.ps | 1065 +++ feedback/papers/0506398/f16.ps | 1090 +++ feedback/papers/0506398/f17.ps | 205 + feedback/papers/0506398/f18.ps | 568 ++ feedback/papers/0506398/f19.ps | 792 ++ feedback/papers/0506398/f2.ps | 10688 ++++++++++++++++++++++++++ feedback/papers/0506398/f20.ps | 563 ++ feedback/papers/0506398/f21.ps | 1025 +++ feedback/papers/0506398/f22.ps | 431 ++ feedback/papers/0506398/f23.ps | 341 + 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100644 feedback/papers/0506398/ms.tex create mode 100644 feedback/papers/1701.07030.pdf create mode 100644 feedback/papers/1703.06889.pdf diff --git a/adv_lab.bib b/adv_lab.bib index 7bb499b..d46b03d 100644 --- a/adv_lab.bib +++ b/adv_lab.bib @@ -1,3 +1,64 @@ +@ARTICLE{2017arXiv170306889H, + author = {{Harrison}, C.~M.}, + title = "{Impact of supermassive black hole growth on star formation}", + journal = {ArXiv e-prints}, +archivePrefix = "arXiv", + eprint = {1703.06889}, + keywords = {Astrophysics - Astrophysics of Galaxies, Astrophysics - Cosmology and Nongalactic Astrophysics}, + year = 2017, + month = mar, + adsurl = {http://adsabs.harvard.edu/abs/2017arXiv170306889H}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@ARTICLE{2006ApJS..163....1H, + author = {{Hopkins}, P.~F. and {Hernquist}, L. and {Cox}, T.~J. and {Di Matteo}, T. and + {Robertson}, B. and {Springel}, V.}, + title = "{A Unified, Merger-driven Model of the Origin of Starbursts, Quasars, the Cosmic X-Ray Background, Supermassive Black Holes, and Galaxy Spheroids}", + journal = {\apjs}, + eprint = {astro-ph/0506398}, + keywords = {Cosmology: Theory, Galaxies: Active, Galaxies: Evolution, Galaxies: Nuclei, Galaxies: Quasars: General}, + year = 2006, + month = mar, + volume = 163, + pages = {1-49}, + doi = {10.1086/499298}, + adsurl = {http://adsabs.harvard.edu/abs/2006ApJS..163....1H}, + adsnote = {Provided by the SAO/NASA Astrophysics Data System} +} + +@conference{springelfeedback, + author = {Volker Springel}, + month = 5, + year = 2006, + title = {Simulations of Quasar Feedback}, + organization = {The history of nuclear black holes in galaxies}, + publisher = {Harvard-CfA}, +} + + + +@unpublished{koristafeedback, + title = {Quasars and the Birth \& Evolution of Galaxies}, + year = 2016, + author = {Kirk Korista}, + month = 3, + organization = {Western Michigan University}, + note = {Conference presentation} +} + + +@book{maoz2007astrophysics, + title={Astrophysics in a Nutshell}, + author={Maoz, D.}, + isbn={9780691125848}, + lccn={2006050588}, + series={In a Nutshell}, + url={https://books.google.com/books?id=r88PAQAAMAAJ}, + year={2007}, + publisher={Princeton University Press} +} + @ARTICLE{2017ApJ...837..149G, author = {{Gaspari}, M. and {S{\c a}dowski}, A.}, diff --git a/feedback/papers/0506398.pdf b/feedback/papers/0506398.pdf new file mode 100644 index 0000000000000000000000000000000000000000..5d8a6c633bec8ea76b3db2e85861a99a969df86c GIT binary patch literal 2145986 zcma%>Lv$_-tghQ#+qP}H-L-Aowr%a&wr$(}YTLGX{optrXV6l z$3)KzO*VEFUkJ@c$Vg~!WChL3%OGQFXYOJ_$o^kNi9yWL#>Lc$kU`AG(8W~5)Y#s{ zl%F5k*~Q7!&=%Swd&GA=5wESmVE8Rof1oUqABFpPP)%?`e!-%FE;EsAWA$}5C*6Ww zJ;`X1nX2O(M{W4K`#r%kU8Wj}P|;N`sW}+wqDV_YkoXnOzk^5q;3nqxV7Kb_b~>r! zv*h=7k;lJ-FE z@0xb6(V_^?`_#wS#fvk_%uzV-7kI1jH_b@aH4CphvqZb3-fw}3-&+^Jjf>7|&Kwyj zyIYiF#PGiF8k(O?N)priI&pAe%uK#H0OqZi5u45Y`Re}qx^hUa%1uUm3usM3`>XHc zt6@M%W0DD{8K76TUdujnk~HL)o9e3DVp7^GgS=O|IJDb8U23WqdjJj&G<~P#^U}sB 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R 61 0 R 69 0 R +0 309 R 61 0 R 69 0 R 0 325 R 61 0 R 69 0 R 0 343 R 61 0 R 69 0 R 0 371 R +61 0 R 69 0 R 0 375 R 61 0 R 69 0 R 0 401 R 61 0 R 69 0 R 0 412 R 61 0 R +69 0 R 0 421 R 61 0 R 69 0 R 0 431 R 61 0 R 69 0 R 0 442 R 62 0 R 68 0 R +0 453 R 62 0 R 68 0 R 0 464 R 62 0 R 68 0 R 0 487 R 62 0 R 68 0 R 0 531 R +62 0 R 68 0 R 0 480 R D 17020 9289 M 0 -7867 R 61 0 R D +%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%+ font AvantGarde-Book +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%+ font AvantGarde-Book +%%EOF diff --git a/feedback/papers/0506398/f13.ps b/feedback/papers/0506398/f13.ps new file mode 100644 index 0000000..2031ac2 --- /dev/null +++ b/feedback/papers/0506398/f13.ps @@ -0,0 +1,822 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 558 720 +%%Title: Graphics produced by IDL +%%For: phopkins@dhcp152-235.cfa.harvard.edu, +%% /Users/phopkins/Documents/lars_galaxies/plots/LF_massive +%%Creator: IDL Student Edition 6.0.3, Mac OS X (darwin ppc m32) +%%CreationDate: Sun Aug 28 22:28:04 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2003 Research Systems, Inc. All Rights Reserved. +%v 4 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef end 2.5 setmiterlimit +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 558 720 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 2242 8467 M 7433 0 R D +3304 8467 M 0 70 R D gsave 3304 7933 translate 0 0 M 1.01 dup scale +-58.8433 0 N +( ) show grestore 5428 8467 M 0 70 R D gsave 5428 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 7551 8467 M 0 70 R D gsave 7551 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 9675 8467 M 0 70 R D gsave 9675 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 2455 8467 M 0 35 R D 2879 8467 M 0 35 R D 3729 8467 M +0 35 R D 4154 8467 M 0 35 R D 4578 8467 M 0 35 R D 5003 8467 M 0 35 R D +5852 8467 M 0 35 R D 6277 8467 M 0 35 R D 6702 8467 M 0 35 R D 7127 8467 M +0 35 R D 7976 8467 M 0 35 R D 8401 8467 M 0 35 R D 8825 8467 M 0 35 R D +9250 8467 M 0 35 R D gsave 5959 7471 translate 0 0 M 1.01 dup scale +-58.8433 0 N +( ) show grestore 2242 11989 M 7433 0 R D 3304 11989 M 0 -70 R D +5428 11989 M 0 -70 R D 7551 11989 M 0 -70 R D 9675 11989 M 0 -70 R D +2455 11989 M 0 -35 R D 2879 11989 M 0 -35 R D 3729 11989 M 0 -35 R D +4154 11989 M 0 -35 R D 4578 11989 M 0 -35 R D 5003 11989 M 0 -35 R D +5852 11989 M 0 -35 R D 6277 11989 M 0 -35 R D 6702 11989 M 0 -35 R D +7127 11989 M 0 -35 R D 7976 11989 M 0 -35 R D 8401 11989 M 0 -35 R D +8825 11989 M 0 -35 R D 9250 11989 M 0 -35 R D 2242 8467 M 0 3522 R D +2242 8846 M 149 0 R D gsave 2130 8703 translate 0 0 M 1.01 dup scale +-616.678 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(8) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 2242 9798 M 149 0 R D +gsave 2130 9656 translate 0 0 M 1.01 dup scale -616.678 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(9) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 2242 10750 M 149 0 R D +gsave 2130 10608 translate 0 0 M 1.01 dup scale -762.61 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(10) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 2242 11702 M 149 0 R D +gsave 2130 11560 translate 0 0 M 1.01 dup scale -762.61 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(11) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 2242 8467 M 75 0 R D 2242 8559 M 75 0 R D +2242 8634 M 75 0 R D 2242 8698 M 75 0 R D 2242 8753 M 75 0 R D 2242 8802 M +75 0 R D 2242 9132 M 75 0 R D 2242 9300 M 75 0 R D 2242 9419 M 75 0 R D +2242 9511 M 75 0 R D 2242 9587 M 75 0 R D 2242 9650 M 75 0 R D 2242 9706 M +75 0 R D 2242 9754 M 75 0 R D 2242 10085 M 75 0 R D 2242 10252 M 75 0 R D +2242 10371 M 75 0 R D 2242 10463 M 75 0 R D 2242 10539 M 75 0 R D +2242 10603 M 75 0 R D 2242 10658 M 75 0 R D 2242 10707 M 75 0 R D +2242 11037 M 75 0 R D 2242 11204 M 75 0 R D 2242 11323 M 75 0 R D +2242 11416 M 75 0 R D 2242 11491 M 75 0 R D 2242 11555 M 75 0 R D +2242 11610 M 75 0 R D 2242 11659 M 75 0 R D 2242 11989 M 75 0 R D +gsave 1024 10228 translate 0 0 M 90 rotate 1.01 dup scale -58.8433 0 N +( ) show grestore 9675 8467 M 0 3522 R D 9675 8846 M -149 0 R D 9675 9798 M +-149 0 R D 9675 10750 M -149 0 R D 9675 11702 M -149 0 R D 9675 8467 M +-74 0 R D 9675 8559 M -74 0 R D 9675 8634 M -74 0 R D 9675 8698 M -74 0 R D +9675 8753 M -74 0 R D 9675 8802 M -74 0 R D 9675 9132 M -74 0 R D +9675 9300 M -74 0 R D 9675 9419 M -74 0 R D 9675 9511 M -74 0 R D +9675 9587 M -74 0 R D 9675 9650 M -74 0 R D 9675 9706 M -74 0 R D +9675 9754 M -74 0 R D 9675 10085 M -74 0 R D 9675 10252 M -74 0 R D +9675 10371 M -74 0 R D 9675 10463 M -74 0 R D 9675 10539 M -74 0 R D +9675 10603 M -74 0 R D 9675 10658 M -74 0 R D 9675 10707 M -74 0 R D +9675 11037 M -74 0 R D 9675 11204 M -74 0 R D 9675 11323 M -74 0 R D +9675 11416 M -74 0 R D 9675 11491 M -74 0 R D 9675 11555 M -74 0 R D +9675 11610 M -74 0 R D 9675 11659 M -74 0 R D 9675 11989 M -74 0 R D +40 setlinewidth 2242 8915 M 152 17 R 607 120 R 606 261 R 607 103 R 607 182 R +607 24 R 303 132 R 303 -35 R 122 7 R 121 6 R 61 39 R 60 -115 R 61 100 R +61 23 R 60 -71 R 61 -26 R 31 -89 R 30 151 R 30 -25 R 31 24 R 30 -81 R +30 43 R 30 15 R 31 -47 R 30 -75 R 31 32 R 30 271 R 30 148 R 31 -45 R 30 50 R +30 -172 R 31 -57 R 30 -145 R 30 254 R 31 292 R 30 95 R 30 -386 R 31 216 R +30 -117 R 30 399 R 31 135 R 30 -52 R 30 -192 R 31 195 R 30 -236 R 30 264 R +31 152 R 30 -207 R 30 -117 R 31 -12 R 30 155 R 30 2 R 31 -278 R 30 141 R +30 -214 R 31 168 R 30 204 R 30 -385 R 31 -21 R 30 -97 R 30 -135 R 31 127 R +30 -54 R 30 -71 R 31 58 R 30 -34 R 30 -174 R 31 39 R 30 -49 R 30 28 R +31 -77 R 30 -96 R 30 100 R 31 -98 R 30 -112 R 30 78 R 31 -34 R 30 11 R +30 21 R 31 -91 R 30 -151 R 30 72 R 31 -86 R 30 -76 R 30 20 R 31 -46 R +30 18 R 30 42 R 31 -98 R 30 -35 R 30 107 R 31 -43 R 30 -36 R 30 -50 R +31 59 R 30 64 R 61 -174 R 60 -4 R 61 86 R 61 -91 R 60 -114 R 61 -28 R +61 -29 R 61 41 R 60 -78 R 60 90 R D 10 setlinewidth 2242 11248 M 152 -28 R +607 -137 R 606 -111 R 607 -78 R 607 -85 R 607 -80 R 303 -31 R 303 78 R +122 -56 R 121 31 R 61 -23 R 60 -30 R 61 -12 R 61 8 R 60 30 R 61 -46 R +31 96 R 30 -23 R 30 -50 R 31 44 R 30 -55 R 30 158 R 30 -5 R 31 -109 R +30 -55 R 31 -43 R 30 -11 R 30 63 R 31 134 R 30 -2 R 30 19 R 31 -7 R 30 -14 R +30 -13 R 31 -2 R 30 52 R 30 -43 R 31 -15 R 30 9 R 30 -20 R 31 -34 R 30 8 R +30 -8 R 31 40 R 30 27 R 30 -54 R 31 -26 R 30 40 R 30 -10 R 31 -38 R 30 -7 R +30 -21 R 31 -9 R 30 7 R 30 21 R 31 31 R 30 -20 R 30 -14 R 31 5 R 30 -5 R +30 -3 R 31 -4 R 30 13 R 30 14 R 31 11 R 30 -34 R 30 -4 R 31 53 R 30 -23 R +30 11 R 31 -17 R 30 30 R 30 -14 R 31 93 R 30 -27 R 30 -42 R 31 -12 R +30 -16 R 30 49 R 31 24 R 30 -5 R 30 -12 R 31 -6 R 30 -12 R 30 25 R 31 20 R +30 -11 R 30 -40 R 31 -7 R 30 0 R 30 1 R 31 -1 R 30 34 R 30 14 R 31 -31 R +30 8 R 61 -16 R 60 10 R 61 -19 R 61 8 R 60 -2 R 61 6 R 61 8 R 61 23 R +60 -37 R 60 -43 R D L1 2242 10971 M 152 0 R 607 -108 R 606 -90 R 607 -59 R +607 -75 R 607 -121 R 303 -23 R 303 136 R 122 -72 R 121 50 R 61 -32 R +60 -38 R 61 -13 R 61 2 R 60 52 R 61 -60 R 31 134 R 30 -33 R 30 -69 R 31 62 R +30 -72 R 30 214 R 30 -8 R 31 -142 R 30 -64 R 31 -57 R 30 -7 R 30 85 R +31 146 R 30 -1 R 30 18 R 31 -9 R 30 -22 R 30 -12 R 31 4 R 30 70 R 30 -63 R +31 -13 R 30 13 R 30 -32 R 31 -34 R 30 5 R 30 -7 R 31 50 R 30 36 R 30 -67 R +31 -32 R 30 52 R 30 -11 R 31 -48 R 30 -14 R 30 -20 R 31 -8 R 30 2 R 30 24 R +31 42 R 30 -31 R 30 -15 R 31 8 R 30 -7 R 30 -2 R 31 -14 R 30 20 R 30 20 R +31 14 R 30 -49 R 30 0 R 31 62 R 30 -33 R 30 11 R 31 -17 R 30 43 R 30 -23 R +31 127 R 30 -39 R 30 -57 R 31 -14 R 30 -18 R 30 60 R 31 24 R 30 -8 R +30 -18 R 31 -1 R 30 -14 R 30 32 R 31 23 R 30 -15 R 30 -51 R 31 -9 R 30 -5 R +30 2 R 31 -3 R 30 46 R 30 15 R 31 -31 R 30 1 R 61 -23 R 60 6 R 61 -21 R +61 9 R 60 0 R 61 10 R 61 1 R 61 32 R 60 -48 R 60 -49 R D +gsave 2455 11416 translate 0 0 M 1.1 dup scale +(M) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(BH) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(=3) show +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(\264) show +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(7) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( M) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show +%%IncludeResource: font Helvetica +186.267 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT L0 1.000 0.000 0.000 setrgbcolor 2242 10247 M +213 54 R 424 165 R 425 -24 R 425 -87 R 425 -138 R 424 79 R 425 -66 R +425 35 R 424 105 R 425 -60 R 425 -15 R 425 -69 R 424 -74 R 425 -61 R +425 -51 R 424 -45 R 425 -35 R 424 -34 R D 0.000 0.514 1.000 setrgbcolor +2242 10562 M 152 -40 R 303 121 R 304 5 R 303 26 R 303 2 R 304 -10 R +303 -130 R 304 10 R 303 79 R 303 -34 R 304 25 R 303 -64 R 303 24 R 304 -97 R +303 173 R 304 9 R 303 -47 R 303 -108 R 304 -40 R 303 -10 R 303 29 R 304 37 R +303 21 R 303 50 R 303 -7 R D 15 setlinewidth 0.000 0.000 0.000 setrgbcolor +9675 8467 M 7432 0 R D 10737 8467 M 0 70 R D +gsave 10737 7933 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 12860 8467 M 0 70 R D gsave 12860 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 14984 8467 M 0 70 R D gsave 14984 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 17107 8467 M 0 70 R D gsave 17107 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 9887 8467 M 0 35 R D 10312 8467 M 0 35 R D 11161 8467 M +0 35 R D 11586 8467 M 0 35 R D 12011 8467 M 0 35 R D 12436 8467 M 0 35 R D +13285 8467 M 0 35 R D 13710 8467 M 0 35 R D 14134 8467 M 0 35 R D +14559 8467 M 0 35 R D 15409 8467 M 0 35 R D 15833 8467 M 0 35 R D +16258 8467 M 0 35 R D 16683 8467 M 0 35 R D gsave 13391 7471 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 9675 11989 M 7432 0 R D 10737 11989 M 0 -70 R D +12860 11989 M 0 -70 R D 14984 11989 M 0 -70 R D 17107 11989 M 0 -70 R D +9887 11989 M 0 -35 R D 10312 11989 M 0 -35 R D 11161 11989 M 0 -35 R D +11586 11989 M 0 -35 R D 12011 11989 M 0 -35 R D 12436 11989 M 0 -35 R D +13285 11989 M 0 -35 R D 13710 11989 M 0 -35 R D 14134 11989 M 0 -35 R D +14559 11989 M 0 -35 R D 15409 11989 M 0 -35 R D 15833 11989 M 0 -35 R D +16258 11989 M 0 -35 R D 16683 11989 M 0 -35 R D 9675 8467 M 0 3522 R D +9675 8846 M 149 0 R D gsave 9563 8703 translate 0 0 M 1.01 dup scale +-117.687 0 N +( ) show grestore 9675 9798 M 149 0 R D gsave 9563 9656 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 10750 M 149 0 R D gsave 9563 10608 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 11702 M 149 0 R D gsave 9563 11560 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 8467 M 74 0 R D 9675 8559 M 74 0 R D 9675 8634 M +74 0 R D 9675 8698 M 74 0 R D 9675 8753 M 74 0 R D 9675 8802 M 74 0 R D +9675 9132 M 74 0 R D 9675 9300 M 74 0 R D 9675 9419 M 74 0 R D 9675 9511 M +74 0 R D 9675 9587 M 74 0 R D 9675 9650 M 74 0 R D 9675 9706 M 74 0 R D +9675 9754 M 74 0 R D 9675 10085 M 74 0 R D 9675 10252 M 74 0 R D +9675 10371 M 74 0 R D 9675 10463 M 74 0 R D 9675 10539 M 74 0 R D +9675 10603 M 74 0 R D 9675 10658 M 74 0 R D 9675 10707 M 74 0 R D +9675 11037 M 74 0 R D 9675 11204 M 74 0 R D 9675 11323 M 74 0 R D +9675 11416 M 74 0 R D 9675 11491 M 74 0 R D 9675 11555 M 74 0 R D +9675 11610 M 74 0 R D 9675 11659 M 74 0 R D 9675 11989 M 74 0 R D +gsave 9108 10228 translate 0 0 M 90 rotate 1.01 dup scale -58.8433 0 N +( ) show grestore 17107 8467 M 0 3522 R D 17107 8846 M -148 0 R D +17107 9798 M -148 0 R D 17107 10750 M -148 0 R D 17107 11702 M -148 0 R D +17107 8467 M -74 0 R D 17107 8559 M -74 0 R D 17107 8634 M -74 0 R D +17107 8698 M -74 0 R D 17107 8753 M -74 0 R D 17107 8802 M -74 0 R D +17107 9132 M -74 0 R D 17107 9300 M -74 0 R D 17107 9419 M -74 0 R D +17107 9511 M -74 0 R D 17107 9587 M -74 0 R D 17107 9650 M -74 0 R D +17107 9706 M -74 0 R D 17107 9754 M -74 0 R D 17107 10085 M -74 0 R D +17107 10252 M -74 0 R D 17107 10371 M -74 0 R D 17107 10463 M -74 0 R D +17107 10539 M -74 0 R D 17107 10603 M -74 0 R D 17107 10658 M -74 0 R D +17107 10707 M -74 0 R D 17107 11037 M -74 0 R D 17107 11204 M -74 0 R D +17107 11323 M -74 0 R D 17107 11416 M -74 0 R D 17107 11491 M -74 0 R D +17107 11555 M -74 0 R D 17107 11610 M -74 0 R D 17107 11659 M -74 0 R D +17107 11989 M -74 0 R D 40 setlinewidth 9674 9179 M 153 61 R 606 195 R +607 305 R 607 73 R 607 152 R 606 -13 R 304 135 R 303 -98 R 121 29 R 122 29 R +60 64 R 61 -195 R 61 28 R 60 40 R 61 -60 R 61 6 R 30 -121 R 30 163 R +31 -42 R 30 52 R 30 -115 R 31 68 R 30 -12 R 30 -59 R 31 -64 R 30 78 R +30 354 R 31 133 R 30 259 R 30 25 R 31 -107 R 30 39 R 30 -14 R 31 132 R +30 365 R 30 83 R 31 -40 R 30 109 R 30 -256 R 31 263 R 30 130 R 30 -181 R +31 -103 R 30 120 R 31 -378 R 30 164 R 30 165 R 31 -235 R 30 -94 R 30 -69 R +31 123 R 30 6 R 30 -317 R 31 130 R 30 -233 R 30 142 R 31 186 R 30 -421 R +30 -29 R 31 -122 R 30 -167 R 30 127 R 31 -50 R 30 -59 R 30 51 R 31 -69 R +30 -156 R 30 32 R 31 -75 R 30 37 R 30 -81 R 31 -111 R 30 110 R 30 -116 R +31 -96 R 30 84 R 30 -54 R 31 20 R 30 15 R 30 -94 R 31 -148 R 30 53 R +30 -83 R 31 -68 R 30 19 R 30 -46 R 31 6 R 30 46 R 30 -79 R 31 -43 R 30 94 R +30 -34 R 31 -18 R 30 -58 R 30 33 R 31 67 R 60 -168 R 61 -8 R 61 87 R +60 -112 R 61 -125 R 61 -21 R 60 -30 R 61 31 R 61 -72 R 60 82 R D +10 setlinewidth 9674 11752 M 153 -5 R 606 -44 R 607 -13 R 607 -15 R +607 -57 R 606 -56 R 304 -40 R 303 45 R 121 -46 R 122 40 R 60 -24 R 61 -28 R +61 -5 R 60 3 R 61 9 R 61 -29 R 30 69 R 30 -22 R 31 -34 R 30 64 R 30 -49 R +31 111 R 30 1 R 30 -75 R 31 -13 R 30 -24 R 30 21 R 31 39 R 30 109 R 30 -14 R +31 -26 R 30 -50 R 30 -15 R 31 -9 R 30 70 R 30 128 R 31 -88 R 30 -21 R +30 -18 R 31 41 R 30 -62 R 30 69 R 31 -50 R 30 32 R 31 35 R 30 -53 R 30 -10 R +31 18 R 30 -15 R 30 -43 R 31 12 R 30 -37 R 30 5 R 31 -5 R 30 -10 R 30 34 R +31 -28 R 30 -28 R 30 1 R 31 -19 R 30 -2 R 30 -13 R 31 15 R 30 13 R 30 9 R +31 -37 R 30 -4 R 30 50 R 31 -42 R 30 -14 R 30 -16 R 31 33 R 30 -11 R +30 120 R 31 -56 R 30 -52 R 30 -19 R 31 -11 R 30 38 R 30 16 R 31 -9 R +30 -20 R 30 -14 R 31 0 R 30 29 R 30 2 R 31 -4 R 30 -40 R 30 -16 R 31 -5 R +30 -6 R 30 -10 R 31 21 R 30 8 R 30 -29 R 31 3 R 60 -25 R 61 -12 R 61 -10 R +60 -9 R 61 -1 R 61 27 R 60 -15 R 61 19 R 61 -40 R 60 -14 R D L1 9674 11446 M +153 22 R 606 13 R 607 25 R 607 17 R 607 -57 R 606 -75 R 304 -41 R 303 85 R +121 -60 R 122 59 R 60 -31 R 61 -37 R 61 -5 R 60 5 R 61 15 R 61 -39 R 30 95 R +30 -29 R 31 -46 R 30 88 R 30 -66 R 31 147 R 30 1 R 30 -96 R 31 -17 R +30 -32 R 30 29 R 31 52 R 30 137 R 30 -16 R 31 -33 R 30 -62 R 30 -19 R +31 -11 R 30 89 R 30 154 R 31 -104 R 30 -25 R 30 -21 R 31 50 R 30 -76 R +30 85 R 31 -60 R 30 40 R 31 42 R 30 -63 R 30 -11 R 31 22 R 30 -18 R 30 -52 R +31 16 R 30 -45 R 30 7 R 31 -5 R 30 -13 R 30 43 R 31 -33 R 30 -34 R 30 2 R +31 -24 R 30 -2 R 30 -17 R 31 20 R 30 18 R 30 11 R 31 -46 R 30 -5 R 30 62 R +31 -51 R 30 -17 R 30 -20 R 31 41 R 30 -13 R 30 147 R 31 -67 R 30 -64 R +30 -24 R 31 -13 R 30 49 R 30 20 R 31 -11 R 30 -25 R 30 -17 R 31 0 R 30 37 R +30 2 R 31 -4 R 30 -51 R 30 -19 R 31 -7 R 30 -7 R 30 -12 R 31 27 R 30 10 R +30 -36 R 31 4 R 60 -32 R 61 -16 R 61 -12 R 60 -12 R 61 0 R 61 37 R 60 -20 R +61 25 R 61 -51 R 60 -19 R D L0 1.000 0.000 0.000 setrgbcolor 9674 10277 M +213 67 R 425 244 R 425 219 R 424 61 R 425 -219 R 425 -103 R 425 -139 R +424 -24 R 425 211 R 425 -143 R 424 -127 R 425 -90 R 425 -77 R 425 -61 R +424 -53 R 425 -44 R 425 -34 R 424 -36 R D 0.000 0.514 1.000 setrgbcolor +9674 10594 M 153 -36 R 303 140 R 303 27 R 304 53 R 303 23 R 303 -6 R +304 -100 R 303 42 R 304 93 R 303 -7 R 303 45 R 304 -12 R 303 37 R 303 -92 R +304 119 R 303 183 R 303 290 R 304 -120 R 303 -66 R 304 -117 R 303 -51 R +303 -90 R 304 -60 R 303 -56 R 303 -53 R 0 1 R D 15 setlinewidth +0.000 0.000 0.000 setrgbcolor 2242 4944 M 7433 0 R D 3304 4944 M 0 71 R D +gsave 3304 4411 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 5428 4944 M 0 71 R D gsave 5428 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 7551 4944 M 0 71 R D gsave 7551 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 9675 4944 M 0 71 R D gsave 9675 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 2455 4944 M 0 36 R D 2879 4944 M 0 36 R D 3729 4944 M +0 36 R D 4154 4944 M 0 36 R D 4578 4944 M 0 36 R D 5003 4944 M 0 36 R D +5852 4944 M 0 36 R D 6277 4944 M 0 36 R D 6702 4944 M 0 36 R D 7127 4944 M +0 36 R D 7976 4944 M 0 36 R D 8401 4944 M 0 36 R D 8825 4944 M 0 36 R D +9250 4944 M 0 36 R D gsave 5959 3949 translate 0 0 M 1.01 dup scale +-58.8433 0 N +( ) show grestore 2242 8467 M 7433 0 R D 3304 8467 M 0 -71 R D 5428 8467 M +0 -71 R D 7551 8467 M 0 -71 R D 9675 8467 M 0 -71 R D 2455 8467 M 0 -35 R D +2879 8467 M 0 -35 R D 3729 8467 M 0 -35 R D 4154 8467 M 0 -35 R D +4578 8467 M 0 -35 R D 5003 8467 M 0 -35 R D 5852 8467 M 0 -35 R D +6277 8467 M 0 -35 R D 6702 8467 M 0 -35 R D 7127 8467 M 0 -35 R D +7976 8467 M 0 -35 R D 8401 8467 M 0 -35 R D 8825 8467 M 0 -35 R D +9250 8467 M 0 -35 R D 2242 4944 M 0 3523 R D 2242 5560 M 149 0 R D +gsave 2130 5418 translate 0 0 M 1.01 dup scale -616.678 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(9) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 2242 6441 M 149 0 R D +gsave 2130 6298 translate 0 0 M 1.01 dup scale -762.61 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(10) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 2242 7321 M 149 0 R D +gsave 2130 7179 translate 0 0 M 1.01 dup scale -762.61 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(11) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 2242 8202 M 149 0 R D +gsave 2130 8059 translate 0 0 M 1.01 dup scale -762.61 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(12) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 2242 4944 M 75 0 R D 2242 5099 M 75 0 R D +2242 5210 M 75 0 R D 2242 5295 M 75 0 R D 2242 5365 M 75 0 R D 2242 5424 M +75 0 R D 2242 5475 M 75 0 R D 2242 5520 M 75 0 R D 2242 5825 M 75 0 R D +2242 5980 M 75 0 R D 2242 6090 M 75 0 R D 2242 6175 M 75 0 R D 2242 6245 M +75 0 R D 2242 6304 M 75 0 R D 2242 6355 M 75 0 R D 2242 6400 M 75 0 R D +2242 6706 M 75 0 R D 2242 6861 M 75 0 R D 2242 6971 M 75 0 R D 2242 7056 M +75 0 R D 2242 7126 M 75 0 R D 2242 7185 M 75 0 R D 2242 7236 M 75 0 R D +2242 7281 M 75 0 R D 2242 7586 M 75 0 R D 2242 7741 M 75 0 R D 2242 7851 M +75 0 R D 2242 7937 M 75 0 R D 2242 8006 M 75 0 R D 2242 8065 M 75 0 R D +2242 8116 M 75 0 R D 2242 8161 M 75 0 R D 2242 8467 M 75 0 R D +gsave 1024 6706 translate 0 0 M 90 rotate 1.01 dup scale -1588.99 0 N +(Observed L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(B) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( \(L) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\)) show grestore 9675 4944 M 0 3523 R D 9675 5560 M -149 0 R D 9675 6441 M +-149 0 R D 9675 7321 M -149 0 R D 9675 8202 M -149 0 R D 9675 4944 M -74 0 R +D 9675 5099 M -74 0 R D 9675 5210 M -74 0 R D 9675 5295 M -74 0 R D +9675 5365 M -74 0 R D 9675 5424 M -74 0 R D 9675 5475 M -74 0 R D +9675 5520 M -74 0 R D 9675 5825 M -74 0 R D 9675 5980 M -74 0 R D +9675 6090 M -74 0 R D 9675 6175 M -74 0 R D 9675 6245 M -74 0 R D +9675 6304 M -74 0 R D 9675 6355 M -74 0 R D 9675 6400 M -74 0 R D +9675 6706 M -74 0 R D 9675 6861 M -74 0 R D 9675 6971 M -74 0 R D +9675 7056 M -74 0 R D 9675 7126 M -74 0 R D 9675 7185 M -74 0 R D +9675 7236 M -74 0 R D 9675 7281 M -74 0 R D 9675 7586 M -74 0 R D +9675 7741 M -74 0 R D 9675 7851 M -74 0 R D 9675 7937 M -74 0 R D +9675 8006 M -74 0 R D 9675 8065 M -74 0 R D 9675 8116 M -74 0 R D +9675 8161 M -74 0 R D 9675 8467 M -74 0 R D 40 setlinewidth 2242 5746 M +152 51 R 607 338 R 606 213 R 607 26 R 607 -130 R 61 -197 R 60 22 R 61 115 R +61 75 R 60 203 R 61 739 R 61 -246 R 60 -524 R 61 -308 R 61 12 R 60 -132 R +61 -177 R 61 58 R 60 38 R 61 -87 R 61 -132 R 60 -88 R 61 11 R 61 228 R +60 -135 R 31 -129 R 30 46 R 30 -22 R 31 129 R 30 -92 R 30 -39 R 31 78 R +30 -133 R 30 14 R 31 -109 R 30 326 R 30 99 R 31 -200 R 30 -32 R 30 102 R +31 -79 R 30 99 R 30 592 R 31 312 R 30 288 R 31 -1390 R 13 -635 R D +6790 4944 M 3 1008 R 30 1224 R 30 -283 R 31 -507 R 30 1146 R 31 -413 R +30 29 R 30 -195 R 31 -317 R 30 18 R 30 -68 R 31 -305 R 30 37 R 30 -283 R +31 -41 R 30 -138 R 30 -152 R 31 -27 R 30 -77 R 30 -4 R 31 -22 R 30 46 R +30 44 R 31 0 R 30 34 R 30 -13 R 31 252 R 30 133 R 30 18 R 31 -42 R 30 -12 R +30 -16 R 31 -57 R 30 -17 R 30 -83 R 31 51 R 30 -28 R 30 51 R 31 -62 R +30 37 R 30 -11 R 31 -94 R 30 -138 R 30 63 R 31 120 R 30 -155 R 30 -85 R +31 157 R 30 -44 R 30 94 R 31 -164 R 30 -26 R 30 -73 R 31 243 R 30 -30 R +30 -62 R 61 -331 R 61 62 R 60 -25 R 61 4 R 61 388 R 60 -458 R 61 65 R +61 -140 R 60 114 R 61 -150 R 61 184 R 60 -239 R 61 -55 R 61 311 R 60 -64 R +61 53 R 61 -287 R 61 351 R 60 -421 R 29 -123 R D 10 setlinewidth 2242 7405 M +152 -14 R 607 -126 R 606 88 R 607 -154 R 607 -20 R 61 10 R 60 -18 R 61 4 R +61 -23 R 60 29 R 61 -9 R 61 13 R 60 5 R 61 -11 R 61 21 R 60 2 R 61 -28 R +61 12 R 60 -11 R 61 2 R 61 -22 R 60 -10 R 61 -12 R 61 -24 R 60 -11 R 31 4 R +30 -3 R 30 49 R 31 -7 R 30 -15 R 30 11 R 31 -10 R 30 17 R 30 2 R 31 -10 R +30 -16 R 30 -4 R 31 4 R 30 45 R 30 -40 R 31 -5 R 30 -24 R 30 -34 R 31 -61 R +30 32 R 31 38 R 30 35 R 30 12 R 31 8 R 30 -4 R 30 -15 R 30 32 R 31 35 R +30 -39 R 31 30 R 30 -6 R 30 -51 R 31 60 R 30 -11 R 30 -5 R 31 16 R 30 9 R +30 1 R 31 -22 R 30 7 R 30 5 R 31 -4 R 30 -11 R 30 14 R 31 -6 R 30 -20 R +30 7 R 31 3 R 30 -3 R 30 -7 R 31 -28 R 30 24 R 30 -7 R 31 10 R 30 -1 R +30 2 R 31 -1 R 30 -5 R 30 -8 R 31 8 R 30 -10 R 30 0 R 31 5 R 30 -11 R +30 22 R 31 -12 R 30 3 R 30 -14 R 31 1 R 30 6 R 30 8 R 31 -16 R 30 -15 R +30 10 R 31 -1 R 30 15 R 30 -19 R 31 -11 R 30 15 R 30 -6 R 61 -23 R 61 -1 R +60 -16 R 61 2 R 61 4 R 60 -20 R 61 1 R 61 26 R 60 -16 R 61 -3 R 61 -22 R +60 6 R 61 15 R 61 -19 R 60 5 R 61 -6 R 61 -11 R 61 -11 R 60 9 R 60 -4 R D L1 +2242 7194 M 152 12 R 607 -112 R 606 147 R 607 -192 R 607 -8 R 61 10 R +60 -27 R 61 8 R 61 -33 R 60 34 R 61 -17 R 61 30 R 60 2 R 61 -19 R 61 32 R +60 -2 R 61 -34 R 61 19 R 60 -14 R 61 12 R 61 -32 R 60 -12 R 61 -7 R 61 -32 R +60 -12 R 31 6 R 30 -3 R 30 67 R 31 -7 R 30 -22 R 30 15 R 31 -13 R 30 25 R +30 5 R 31 -12 R 30 -23 R 30 -2 R 31 3 R 30 63 R 30 -41 R 31 -17 R 30 -29 R +30 -35 R 31 -68 R 30 32 R 31 51 R 30 32 R 30 8 R 31 8 R 30 -10 R 30 -14 R +30 57 R 31 39 R 30 -46 R 31 35 R 30 -8 R 30 -66 R 31 89 R 30 -25 R 30 -1 R +31 17 R 30 4 R 30 5 R 31 -24 R 30 3 R 30 6 R 31 -4 R 30 -17 R 30 22 R +31 -1 R 30 -31 R 30 14 R 31 3 R 30 -2 R 30 -12 R 31 -35 R 30 30 R 30 -6 R +31 12 R 30 1 R 30 2 R 31 1 R 30 -11 R 30 -7 R 31 9 R 30 -10 R 30 0 R 31 8 R +30 -12 R 30 26 R 31 -12 R 30 1 R 30 -18 R 31 4 R 30 4 R 30 9 R 31 -18 R +30 -18 R 30 13 R 31 -1 R 30 17 R 30 -20 R 31 -13 R 30 17 R 30 -9 R 61 -28 R +61 1 R 60 -22 R 61 3 R 61 5 R 60 -25 R 61 -3 R 61 38 R 60 -21 R 61 -3 R +61 -28 R 60 9 R 61 16 R 61 -24 R 60 10 R 61 -9 R 61 -13 R 61 -18 R 60 13 R +60 -4 R D gsave 2455 7851 translate 0 0 M 1.1 dup scale +(M) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(BH) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(=3) show +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(\264) show +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(8) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( M) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show +%%IncludeResource: font Helvetica +186.267 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT L0 1.000 0.000 0.000 setrgbcolor 2242 6338 M +213 106 R 424 191 R 425 -176 R 425 -16 R 425 -40 R 424 15 R 425 81 R +425 -37 R 424 -49 R 425 37 R 425 -36 R 425 -82 R 424 -62 R 425 -47 R +425 -44 R 424 -42 R 425 -25 R 424 -22 R D 0.000 0.514 1.000 setrgbcolor +2242 6616 M 152 136 R 303 -55 R 304 62 R 303 -36 R 303 -33 R 304 113 R +303 -152 R 304 68 R 303 -67 R 303 -21 R 304 -24 R 303 -16 R 303 -52 R +304 -3 R 303 112 R 304 26 R 303 -136 R 303 280 R 304 -44 R 303 -63 R +303 -52 R 304 -19 R 303 -43 R 303 -14 R 303 3 R D 15 setlinewidth +0.000 0.000 0.000 setrgbcolor 9675 4944 M 7432 0 R D 10737 4944 M 0 71 R D +gsave 10737 4411 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 12860 4944 M 0 71 R D gsave 12860 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 14984 4944 M 0 71 R D gsave 14984 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 17107 4944 M 0 71 R D gsave 17107 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 9887 4944 M 0 36 R D 10312 4944 M 0 36 R D 11161 4944 M +0 36 R D 11586 4944 M 0 36 R D 12011 4944 M 0 36 R D 12436 4944 M 0 36 R D +13285 4944 M 0 36 R D 13710 4944 M 0 36 R D 14134 4944 M 0 36 R D +14559 4944 M 0 36 R D 15409 4944 M 0 36 R D 15833 4944 M 0 36 R D +16258 4944 M 0 36 R D 16683 4944 M 0 36 R D gsave 13391 3949 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 9675 8467 M 7432 0 R D 10737 8467 M 0 -71 R D 12860 8467 M +0 -71 R D 14984 8467 M 0 -71 R D 17107 8467 M 0 -71 R D 9887 8467 M 0 -35 R +D 10312 8467 M 0 -35 R D 11161 8467 M 0 -35 R D 11586 8467 M 0 -35 R D +12011 8467 M 0 -35 R D 12436 8467 M 0 -35 R D 13285 8467 M 0 -35 R D +13710 8467 M 0 -35 R D 14134 8467 M 0 -35 R D 14559 8467 M 0 -35 R D +15409 8467 M 0 -35 R D 15833 8467 M 0 -35 R D 16258 8467 M 0 -35 R D +16683 8467 M 0 -35 R D 9675 4944 M 0 3523 R D 9675 5560 M 149 0 R D +gsave 9563 5418 translate 0 0 M 1.01 dup scale -117.687 0 N +( ) show grestore 9675 6441 M 149 0 R D gsave 9563 6298 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 7321 M 149 0 R D gsave 9563 7179 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 8202 M 149 0 R D gsave 9563 8059 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 4944 M 74 0 R D 9675 5099 M 74 0 R D 9675 5210 M +74 0 R D 9675 5295 M 74 0 R D 9675 5365 M 74 0 R D 9675 5424 M 74 0 R D +9675 5475 M 74 0 R D 9675 5520 M 74 0 R D 9675 5825 M 74 0 R D 9675 5980 M +74 0 R D 9675 6090 M 74 0 R D 9675 6175 M 74 0 R D 9675 6245 M 74 0 R D +9675 6304 M 74 0 R D 9675 6355 M 74 0 R D 9675 6400 M 74 0 R D 9675 6706 M +74 0 R D 9675 6861 M 74 0 R D 9675 6971 M 74 0 R D 9675 7056 M 74 0 R D +9675 7126 M 74 0 R D 9675 7185 M 74 0 R D 9675 7236 M 74 0 R D 9675 7281 M +74 0 R D 9675 7586 M 74 0 R D 9675 7741 M 74 0 R D 9675 7851 M 74 0 R D +9675 7937 M 74 0 R D 9675 8006 M 74 0 R D 9675 8065 M 74 0 R D 9675 8116 M +74 0 R D 9675 8161 M 74 0 R D 9675 8467 M 74 0 R D +gsave 9108 6706 translate 0 0 M 90 rotate 1.01 dup scale -58.8433 0 N +( ) show grestore 17107 4944 M 0 3523 R D 17107 5560 M -148 0 R D +17107 6441 M -148 0 R D 17107 7321 M -148 0 R D 17107 8202 M -148 0 R D +17107 4944 M -74 0 R D 17107 5099 M -74 0 R D 17107 5210 M -74 0 R D +17107 5295 M -74 0 R D 17107 5365 M -74 0 R D 17107 5424 M -74 0 R D +17107 5475 M -74 0 R D 17107 5520 M -74 0 R D 17107 5825 M -74 0 R D +17107 5980 M -74 0 R D 17107 6090 M -74 0 R D 17107 6175 M -74 0 R D +17107 6245 M -74 0 R D 17107 6304 M -74 0 R D 17107 6355 M -74 0 R D +17107 6400 M -74 0 R D 17107 6706 M -74 0 R D 17107 6861 M -74 0 R D +17107 6971 M -74 0 R D 17107 7056 M -74 0 R D 17107 7126 M -74 0 R D +17107 7185 M -74 0 R D 17107 7236 M -74 0 R D 17107 7281 M -74 0 R D +17107 7586 M -74 0 R D 17107 7741 M -74 0 R D 17107 7851 M -74 0 R D +17107 7937 M -74 0 R D 17107 8006 M -74 0 R D 17107 8065 M -74 0 R D +17107 8116 M -74 0 R D 17107 8161 M -74 0 R D 17107 8467 M -74 0 R D +40 setlinewidth 9674 6098 M 153 86 R 606 540 R 607 624 R 607 -748 R +607 -162 R 60 -229 R 61 -15 R 61 113 R 60 67 R 61 196 R 61 749 R 60 -269 R +61 -543 R 61 -299 R 60 7 R 61 -140 R 61 -176 R 60 41 R 61 33 R 61 -80 R +60 -149 R 61 -75 R 61 16 R 60 242 R 61 -159 R 30 -116 R 31 38 R 30 -23 R +30 145 R 31 -108 R 30 -32 R 30 81 R 31 -116 R 30 4 R 30 -110 R 31 324 R +30 104 R 30 -179 R 31 -41 R 30 100 R 30 -89 R 31 101 R 30 621 R 30 714 R +31 626 R 30 101 R 30 128 R 31 -66 R 30 18 R 30 99 R 31 -111 R 30 -807 R +30 -638 R 31 1206 R 30 -442 R 30 84 R 31 783 R 30 -1263 R 30 -50 R 31 -132 R +30 -317 R 30 9 R 31 -303 R 30 -46 R 30 -141 R 31 -161 R 30 -35 R 30 -71 R +31 -4 R 30 -20 R 30 39 R 31 35 R 30 2 R 31 32 R 30 -12 R 30 258 R 31 141 R +30 35 R 30 -55 R 31 -26 R 30 -18 R 30 -44 R 31 -25 R 30 -83 R 30 47 R +31 -9 R 30 32 R 30 -65 R 31 33 R 30 5 R 30 -121 R 31 -137 R 30 74 R 30 116 R +31 -177 R 30 -82 R 30 167 R 31 -40 R 30 84 R 30 -168 R 31 -26 R 30 -69 R +30 267 R 31 -44 R 30 -74 R 61 -337 R 60 64 R 61 -18 R 61 -7 R 60 384 R +61 -453 R 61 63 R 60 -138 R 61 110 R 61 -149 R 60 182 R 61 -235 R 61 -60 R +60 313 R 61 -64 R 61 51 R 60 -287 R 61 352 R 61 -419 R 30 -133 R D +10 setlinewidth 9674 7849 M 153 4 R 606 -18 R 607 197 R 607 -207 R 607 -55 R +60 2 R 61 -32 R 61 -1 R 60 -10 R 61 8 R 61 -13 R 60 5 R 61 -19 R 61 -25 R +60 12 R 61 -4 R 61 -23 R 60 7 R 61 -20 R 61 0 R 60 -17 R 61 -18 R 61 -2 R +60 -19 R 61 -9 R 30 -5 R 31 -5 R 30 45 R 30 -7 R 31 -23 R 30 12 R 30 -20 R +31 20 R 30 -6 R 30 -1 R 31 -14 R 30 -14 R 30 -2 R 31 38 R 30 -20 R 30 -20 R +31 -8 R 30 13 R 30 3 R 31 12 R 30 52 R 30 120 R 31 101 R 30 -33 R 30 -65 R +31 -37 R 30 -2 R 30 -2 R 31 4 R 30 21 R 30 51 R 31 -42 R 30 -56 R 30 -26 R +31 -9 R 30 -16 R 30 -7 R 31 -10 R 30 -11 R 30 -7 R 31 -8 R 30 -2 R 30 -9 R +31 5 R 30 4 R 30 -18 R 31 4 R 30 -3 R 31 -6 R 30 -6 R 30 -12 R 31 9 R +30 -2 R 30 -14 R 31 -3 R 30 -4 R 30 -3 R 31 -6 R 30 -5 R 30 -8 R 31 -5 R +30 -4 R 30 4 R 31 -3 R 30 3 R 30 -14 R 31 -6 R 30 2 R 30 2 R 31 -11 R +30 -1 R 30 0 R 31 -7 R 30 0 R 30 -9 R 31 21 R 30 -16 R 30 -7 R 31 1 R +30 -2 R 61 -15 R 60 -7 R 61 -5 R 61 -7 R 60 1 R 61 -8 R 61 -8 R 60 16 R +61 -9 R 61 -7 R 60 -12 R 61 -2 R 61 1 R 60 -10 R 61 -3 R 61 -6 R 60 -6 R +61 -3 R 61 -1 R 60 0 R D L1 9674 7638 M 153 28 R 606 28 R 607 274 R +607 -238 R 607 -55 R 60 4 R 61 -41 R 61 0 R 60 -13 R 61 11 R 61 -17 R 60 6 R +61 -24 R 61 -33 R 60 16 R 61 -6 R 61 -28 R 60 12 R 61 -23 R 61 3 R 60 -19 R +61 -23 R 61 2 R 60 -23 R 61 -10 R 30 -6 R 31 -6 R 30 61 R 30 -8 R 31 -30 R +30 17 R 30 -26 R 31 27 R 30 -6 R 30 -1 R 31 -19 R 30 -18 R 30 -1 R 31 51 R +30 -26 R 30 -26 R 31 -10 R 30 18 R 30 5 R 31 17 R 30 68 R 30 147 R 31 117 R +30 -37 R 30 -75 R 31 -45 R 30 -2 R 30 -2 R 31 6 R 30 25 R 30 60 R 31 -49 R +30 -67 R 30 -32 R 31 -10 R 30 -19 R 30 -9 R 31 -11 R 30 -14 R 30 -9 R +31 -10 R 30 -1 R 30 -11 R 31 7 R 30 6 R 30 -23 R 31 6 R 30 -3 R 31 -7 R +30 -7 R 30 -15 R 31 12 R 30 0 R 30 -18 R 31 -3 R 30 -5 R 30 -3 R 31 -7 R +30 -5 R 30 -11 R 31 -6 R 30 -3 R 30 5 R 31 -3 R 30 5 R 30 -17 R 31 -8 R +30 3 R 30 3 R 31 -15 R 30 0 R 30 0 R 31 -8 R 30 0 R 30 -11 R 31 27 R +30 -19 R 30 -10 R 31 2 R 30 -2 R 61 -20 R 60 -9 R 61 -6 R 61 -8 R 60 1 R +61 -9 R 61 -11 R 60 24 R 61 -12 R 61 -9 R 60 -16 R 61 -2 R 61 2 R 60 -13 R +61 -3 R 61 -7 R 60 -8 R 61 -5 R 61 1 R 60 0 R D L0 +1.000 0.000 0.000 setrgbcolor 9674 6390 M 213 131 R 425 406 R 425 97 R +424 -229 R 425 -146 R 425 -85 R 425 5 R 424 -43 R 425 129 R 425 -115 R +424 -111 R 425 -87 R 425 -59 R 425 -50 R 424 -44 R 425 -40 R 425 -26 R +424 -22 R D 0.000 0.514 1.000 setrgbcolor 9674 6659 M 153 140 R 303 -40 R +303 102 R 304 17 R 303 27 R 303 187 R 304 -92 R 303 122 R 304 13 R 303 -54 R +303 -18 R 304 -64 R 303 -78 R 303 -40 R 304 51 R 303 278 R 303 6 R +304 -165 R 303 -84 R 304 -61 R 303 -52 R 303 -40 R 304 -41 R 303 -34 R +303 -11 R D 15 setlinewidth 0.000 0.000 0.000 setrgbcolor 2242 1422 M +7433 0 R D 3304 1422 M 0 71 R D gsave 3304 889 translate 0 0 M +1.01 dup scale -294.217 0 N +(0.5) show grestore 5428 1422 M 0 71 R D gsave 5428 889 translate 0 0 M +1.01 dup scale -294.217 0 N +(1.0) show grestore 7551 1422 M 0 71 R D gsave 7551 889 translate 0 0 M +1.01 dup scale -294.217 0 N +(1.5) show grestore 9675 1422 M 0 71 R D gsave 9675 889 translate 0 0 M +1.01 dup scale -294.217 0 N +(2.0) show grestore 2455 1422 M 0 35 R D 2879 1422 M 0 35 R D 3729 1422 M +0 35 R D 4154 1422 M 0 35 R D 4578 1422 M 0 35 R D 5003 1422 M 0 35 R D +5852 1422 M 0 35 R D 6277 1422 M 0 35 R D 6702 1422 M 0 35 R D 7127 1422 M +0 35 R D 7976 1422 M 0 35 R D 8401 1422 M 0 35 R D 8825 1422 M 0 35 R D +9250 1422 M 0 35 R D gsave 5959 427 translate 0 0 M 1.01 dup scale +-1011.13 0 N +(Time \(Gyr\)) show grestore 2242 4944 M 7433 0 R D 3304 4944 M 0 -70 R D +5428 4944 M 0 -70 R D 7551 4944 M 0 -70 R D 9675 4944 M 0 -70 R D +2455 4944 M 0 -35 R D 2879 4944 M 0 -35 R D 3729 4944 M 0 -35 R D +4154 4944 M 0 -35 R D 4578 4944 M 0 -35 R D 5003 4944 M 0 -35 R D +5852 4944 M 0 -35 R D 6277 4944 M 0 -35 R D 6702 4944 M 0 -35 R D +7127 4944 M 0 -35 R D 7976 4944 M 0 -35 R D 8401 4944 M 0 -35 R D +8825 4944 M 0 -35 R D 9250 4944 M 0 -35 R D 2242 1422 M 0 3522 R D +2242 1422 M 149 0 R D gsave 2130 1422 translate 0 0 M 1.01 dup scale +-616.678 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(9) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 2242 2374 M 149 0 R D +gsave 2130 2232 translate 0 0 M 1.01 dup scale -762.61 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(10) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 2242 3327 M 149 0 R D +gsave 2130 3184 translate 0 0 M 1.01 dup scale -762.61 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(11) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 2242 4279 M 149 0 R D +gsave 2130 4137 translate 0 0 M 1.01 dup scale -762.61 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(12) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 2242 1709 M 75 0 R D 2242 1876 M 75 0 R D +2242 1995 M 75 0 R D 2242 2088 M 75 0 R D 2242 2163 M 75 0 R D 2242 2227 M +75 0 R D 2242 2282 M 75 0 R D 2242 2331 M 75 0 R D 2242 2661 M 75 0 R D +2242 2829 M 75 0 R D 2242 2948 M 75 0 R D 2242 3040 M 75 0 R D 2242 3115 M +75 0 R D 2242 3179 M 75 0 R D 2242 3234 M 75 0 R D 2242 3283 M 75 0 R D +2242 3613 M 75 0 R D 2242 3781 M 75 0 R D 2242 3900 M 75 0 R D 2242 3992 M +75 0 R D 2242 4068 M 75 0 R D 2242 4131 M 75 0 R D 2242 4187 M 75 0 R D +2242 4235 M 75 0 R D 2242 4566 M 75 0 R D 2242 4733 M 75 0 R D 2242 4852 M +75 0 R D 2242 4944 M 75 0 R D gsave 1024 3183 translate 0 0 M 90 rotate +1.01 dup scale -58.8433 0 N +( ) show grestore 9675 1422 M 0 3522 R D 9675 1422 M -149 0 R D 9675 2374 M +-149 0 R D 9675 3327 M -149 0 R D 9675 4279 M -149 0 R D 9675 1709 M -74 0 R +D 9675 1876 M -74 0 R D 9675 1995 M -74 0 R D 9675 2088 M -74 0 R D +9675 2163 M -74 0 R D 9675 2227 M -74 0 R D 9675 2282 M -74 0 R D +9675 2331 M -74 0 R D 9675 2661 M -74 0 R D 9675 2829 M -74 0 R D +9675 2948 M -74 0 R D 9675 3040 M -74 0 R D 9675 3115 M -74 0 R D +9675 3179 M -74 0 R D 9675 3234 M -74 0 R D 9675 3283 M -74 0 R D +9675 3613 M -74 0 R D 9675 3781 M -74 0 R D 9675 3900 M -74 0 R D +9675 3992 M -74 0 R D 9675 4068 M -74 0 R D 9675 4131 M -74 0 R D +9675 4187 M -74 0 R D 9675 4235 M -74 0 R D 9675 4566 M -74 0 R D +9675 4733 M -74 0 R D 9675 4852 M -74 0 R D 9675 4944 M -74 0 R D +40 setlinewidth 2242 1629 M 152 134 R 607 678 R 606 -71 R 607 195 R 607 79 R +607 -67 R 303 211 R 303 -338 R 122 51 R 121 116 R 61 -129 R 60 -102 R +61 79 R 61 -118 R 60 67 R 61 -82 R 31 -91 R 30 -45 R 30 140 R 31 84 R +30 -78 R 30 -133 R 30 -51 R 31 202 R 30 -7 R 31 -69 R 30 -41 R 30 -85 R +31 28 R 30 111 R 30 -38 R 31 -34 R 30 -35 R 30 -75 R 31 64 R 30 -31 R +30 -74 R 31 71 R 30 20 R 30 -57 R 31 -35 R 30 -33 R 30 16 R 31 -16 R 30 43 R +30 50 R 31 -27 R 30 45 R 30 754 R 31 -125 R 30 -124 R 30 -22 R 31 -122 R +30 32 R 30 -61 R 31 -122 R 30 -26 R 30 137 R 31 -195 R 30 124 R 30 -171 R +31 403 R 30 609 R 15 -1820 R D 8298 1422 M 12 81 R 30 948 R 30 298 R +31 601 R 30 359 R 30 -422 R 31 -374 R 30 -6 R 30 -62 R 31 -217 R 30 -28 R +30 45 R 31 -78 R 30 2 R 30 -57 R 31 -25 R 30 -46 R 30 -25 R 31 1 R 30 110 R +30 -186 R 31 -11 R 30 151 R 30 -100 R 31 -220 R 30 28 R 61 75 R 60 -66 R +61 18 R 61 26 R 60 -328 R 61 187 R 61 -39 R 61 -257 R 60 293 R 60 -120 R D +10 setlinewidth 2242 3514 M 152 -34 R 607 -181 R 606 -78 R 607 102 R +607 -256 R 607 -20 R 303 -1 R 303 -42 R 122 22 R 121 44 R 61 58 R 60 -89 R +61 18 R 61 54 R 60 -20 R 61 -71 R 31 16 R 30 -1 R 30 2 R 31 0 R 30 -11 R +30 -6 R 30 10 R 31 -20 R 30 0 R 31 -2 R 30 4 R 30 15 R 31 2 R 30 -8 R +30 -10 R 31 -37 R 30 -1 R 30 -29 R 31 19 R 30 -18 R 30 15 R 31 -21 R 30 8 R +30 -20 R 31 -39 R 30 86 R 30 -57 R 31 -6 R 30 -14 R 30 -40 R 31 43 R +30 102 R 30 -128 R 31 -37 R 30 98 R 30 83 R 31 29 R 30 76 R 30 12 R 31 30 R +30 29 R 30 -23 R 31 25 R 30 -30 R 30 22 R 31 3 R 30 -21 R 30 -23 R 31 19 R +30 18 R 30 -1 R 31 18 R 30 24 R 30 -7 R 31 -13 R 30 -54 R 30 -51 R 31 -58 R +30 17 R 30 35 R 31 35 R 30 -16 R 30 58 R 31 -26 R 30 39 R 30 -26 R 31 35 R +30 -12 R 30 -3 R 31 -18 R 30 48 R 30 8 R 31 -31 R 30 -17 R 30 76 R 31 -29 R +30 10 R 30 -14 R 31 -33 R 30 66 R 61 -50 R 60 26 R 61 23 R 61 -22 R 60 7 R +61 9 R 61 2 R 61 37 R 60 -40 R 60 -13 R D L1 2242 3090 M 152 -26 R +607 -135 R 606 7 R 607 247 R 607 -336 R 607 -62 R 303 14 R 303 -41 R +122 42 R 121 69 R 61 105 R 60 -141 R 61 20 R 61 84 R 60 -19 R 61 -110 R +31 5 R 30 4 R 30 2 R 31 -1 R 30 -17 R 30 -8 R 30 7 R 31 -25 R 30 -6 R +31 -2 R 30 11 R 30 24 R 31 -4 R 30 -15 R 30 -16 R 31 -41 R 30 7 R 30 -41 R +31 18 R 30 -21 R 30 19 R 31 -33 R 30 13 R 30 -26 R 31 -41 R 30 157 R +30 -87 R 31 -18 R 30 -6 R 30 -65 R 31 84 R 30 169 R 30 -161 R 31 -41 R +30 97 R 30 96 R 31 24 R 30 98 R 30 13 R 31 28 R 30 31 R 30 -12 R 31 12 R +30 -19 R 30 15 R 31 20 R 30 -29 R 30 -22 R 31 15 R 30 15 R 30 5 R 31 10 R +30 32 R 30 -10 R 31 -7 R 30 -56 R 30 -53 R 31 -62 R 30 10 R 30 34 R 31 34 R +30 -16 R 30 66 R 31 -33 R 30 41 R 30 -30 R 31 39 R 30 -19 R 30 -1 R 31 -20 R +30 64 R 30 9 R 31 -39 R 30 -17 R 30 80 R 31 -19 R 30 2 R 30 -12 R 31 -43 R +30 76 R 61 -62 R 60 31 R 61 27 R 61 -28 R 60 3 R 61 7 R 61 13 R 61 50 R +60 -63 R 60 -15 R D gsave 2455 4279 translate 0 0 M 1.1 dup scale +(M) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(BH) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(=2) show +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(\264) show +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(9) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( M) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show +%%IncludeResource: font Helvetica +186.267 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT L0 1.000 0.000 0.000 setrgbcolor 2242 2980 M +213 65 R 424 -117 R 425 4 R 425 -12 R 425 -153 R 424 40 R 425 68 R 425 86 R +424 -87 R 425 -57 R 425 -13 R 425 -54 R 424 -54 R 425 -39 R 425 -35 R +424 -57 R 425 -31 R 424 -47 R D 0.000 0.514 1.000 setrgbcolor 2242 3002 M +152 17 R 303 12 R 304 -70 R 303 105 R 303 18 R 304 -61 R 303 35 R 304 -65 R +303 51 R 303 64 R 304 -112 R 303 -54 R 303 40 R 304 -62 R 303 -5 R 304 -14 R +303 48 R 303 -44 R 304 -32 R 303 32 R 303 -23 R 304 96 R 303 -64 R 303 1 R +303 -41 R D 15 setlinewidth 0.000 0.000 0.000 setrgbcolor 9675 1422 M +7432 0 R D 10737 1422 M 0 71 R D gsave 10737 889 translate 0 0 M +1.01 dup scale -294.217 0 N +(0.5) show grestore 12860 1422 M 0 71 R D gsave 12860 889 translate 0 0 M +1.01 dup scale -294.217 0 N +(1.0) show grestore 14984 1422 M 0 71 R D gsave 14984 889 translate 0 0 M +1.01 dup scale -294.217 0 N +(1.5) show grestore 17107 1422 M 0 71 R D gsave 17107 889 translate 0 0 M +1.01 dup scale -294.217 0 N +(2.0) show grestore 9887 1422 M 0 35 R D 10312 1422 M 0 35 R D 11161 1422 M +0 35 R D 11586 1422 M 0 35 R D 12011 1422 M 0 35 R D 12436 1422 M 0 35 R D +13285 1422 M 0 35 R D 13710 1422 M 0 35 R D 14134 1422 M 0 35 R D +14559 1422 M 0 35 R D 15409 1422 M 0 35 R D 15833 1422 M 0 35 R D +16258 1422 M 0 35 R D 16683 1422 M 0 35 R D gsave 13391 427 translate 0 0 M +1.01 dup scale -1011.13 0 N +(Time \(Gyr\)) show grestore 9675 4944 M 7432 0 R D 10737 4944 M 0 -70 R D +12860 4944 M 0 -70 R D 14984 4944 M 0 -70 R D 17107 4944 M 0 -70 R D +9887 4944 M 0 -35 R D 10312 4944 M 0 -35 R D 11161 4944 M 0 -35 R D +11586 4944 M 0 -35 R D 12011 4944 M 0 -35 R D 12436 4944 M 0 -35 R D +13285 4944 M 0 -35 R D 13710 4944 M 0 -35 R D 14134 4944 M 0 -35 R D +14559 4944 M 0 -35 R D 15409 4944 M 0 -35 R D 15833 4944 M 0 -35 R D +16258 4944 M 0 -35 R D 16683 4944 M 0 -35 R D 9675 1422 M 0 3522 R D +9675 1422 M 149 0 R D gsave 9563 1422 translate 0 0 M 1.01 dup scale +-117.687 0 N +( ) show grestore 9675 2374 M 149 0 R D gsave 9563 2232 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 3327 M 149 0 R D gsave 9563 3184 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 4279 M 149 0 R D gsave 9563 4137 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 1709 M 74 0 R D 9675 1876 M 74 0 R D 9675 1995 M +74 0 R D 9675 2088 M 74 0 R D 9675 2163 M 74 0 R D 9675 2227 M 74 0 R D +9675 2282 M 74 0 R D 9675 2331 M 74 0 R D 9675 2661 M 74 0 R D 9675 2829 M +74 0 R D 9675 2948 M 74 0 R D 9675 3040 M 74 0 R D 9675 3115 M 74 0 R D +9675 3179 M 74 0 R D 9675 3234 M 74 0 R D 9675 3283 M 74 0 R D 9675 3613 M +74 0 R D 9675 3781 M 74 0 R D 9675 3900 M 74 0 R D 9675 3992 M 74 0 R D +9675 4068 M 74 0 R D 9675 4131 M 74 0 R D 9675 4187 M 74 0 R D 9675 4235 M +74 0 R D 9675 4566 M 74 0 R D 9675 4733 M 74 0 R D 9675 4852 M 74 0 R D +9675 4944 M 74 0 R D gsave 9108 3183 translate 0 0 M 90 rotate +1.01 dup scale -58.8433 0 N +( ) show grestore 17107 1422 M 0 3522 R D 17107 1422 M -148 0 R D +17107 2374 M -148 0 R D 17107 3327 M -148 0 R D 17107 4279 M -148 0 R D +17107 1709 M -74 0 R D 17107 1876 M -74 0 R D 17107 1995 M -74 0 R D +17107 2088 M -74 0 R D 17107 2163 M -74 0 R D 17107 2227 M -74 0 R D +17107 2282 M -74 0 R D 17107 2331 M -74 0 R D 17107 2661 M -74 0 R D +17107 2829 M -74 0 R D 17107 2948 M -74 0 R D 17107 3040 M -74 0 R D +17107 3115 M -74 0 R D 17107 3179 M -74 0 R D 17107 3234 M -74 0 R D +17107 3283 M -74 0 R D 17107 3613 M -74 0 R D 17107 3781 M -74 0 R D +17107 3900 M -74 0 R D 17107 3992 M -74 0 R D 17107 4068 M -74 0 R D +17107 4131 M -74 0 R D 17107 4187 M -74 0 R D 17107 4235 M -74 0 R D +17107 4566 M -74 0 R D 17107 4733 M -74 0 R D 17107 4852 M -74 0 R D +17107 4944 M -74 0 R D 40 setlinewidth 9674 2153 M 153 204 R 606 519 R +607 -105 R 607 40 R 607 271 R 606 -196 R 304 113 R 303 -342 R 121 54 R +122 46 R 60 -106 R 61 -130 R 61 92 R 60 -86 R 61 43 R 61 -90 R 30 -85 R +30 -61 R 31 160 R 30 61 R 30 -70 R 31 -133 R 30 -50 R 30 196 R 31 0 R +30 -54 R 30 -68 R 31 -68 R 30 3 R 30 147 R 31 -44 R 30 -49 R 30 -27 R +31 -94 R 30 71 R 30 -3 R 31 -52 R 30 18 R 30 40 R 31 -59 R 30 0 R 30 -39 R +31 -21 R 30 -7 R 31 44 R 30 65 R 30 -18 R 31 49 R 30 962 R 30 33 R 31 -401 R +30 -71 R 30 -148 R 31 16 R 30 -126 R 30 -110 R 31 -29 R 30 131 R 30 -187 R +31 125 R 30 -151 R 30 428 R 31 580 R 30 843 R 30 -52 R 31 79 R 30 56 R +30 286 R 31 -159 R 30 53 R 30 53 R 31 -35 R 30 206 R 30 -352 R 31 -47 R +30 -682 R 30 -443 R 31 -46 R 30 -101 R 30 -236 R 31 -49 R 30 54 R 30 -110 R +31 -3 R 30 -33 R 30 -14 R 31 -64 R 30 -40 R 30 20 R 31 119 R 30 -237 R +30 3 R 31 127 R 30 -86 R 30 -239 R 31 10 R 60 76 R 61 -90 R 61 55 R 60 17 R +61 -348 R 61 180 R 60 -58 R 61 -246 R 61 288 R 60 -133 R D 10 setlinewidth +9674 4230 M 153 0 R 606 -46 R 607 17 R 607 178 R 607 -205 R 606 -82 R +304 -20 R 303 -45 R 121 5 R 122 47 R 60 65 R 61 -105 R 61 15 R 60 36 R +61 0 R 61 -79 R 30 -9 R 30 -10 R 31 22 R 30 -27 R 30 -7 R 31 -8 R 30 -4 R +30 -6 R 31 -9 R 30 -5 R 30 2 R 31 7 R 30 -2 R 30 -14 R 31 -9 R 30 -4 R +30 11 R 31 -2 R 30 -17 R 30 -2 R 31 9 R 30 -15 R 30 -8 R 31 -6 R 30 -4 R +30 81 R 31 -59 R 30 -15 R 31 15 R 30 -18 R 30 73 R 31 98 R 30 -80 R 30 -21 R +31 -15 R 30 -27 R 30 6 R 31 67 R 30 -28 R 30 36 R 31 83 R 30 -60 R 30 117 R +31 118 R 30 -3 R 30 59 R 31 -18 R 30 26 R 30 -44 R 31 -8 R 30 42 R 30 -13 R +31 22 R 30 -5 R 30 -14 R 31 -5 R 30 -61 R 30 -8 R 31 -47 R 30 -15 R 30 -17 R +31 -21 R 30 1 R 30 -23 R 31 -8 R 30 -12 R 30 -12 R 31 -8 R 30 -2 R 30 -15 R +31 -2 R 30 -8 R 30 -10 R 31 -9 R 30 -9 R 30 -6 R 31 -7 R 30 -7 R 30 -7 R +31 -6 R 60 -6 R 61 -4 R 61 -20 R 60 -10 R 61 -11 R 61 -11 R 60 -7 R 61 -4 R +61 -14 R 60 -8 R D L1 9674 3912 M 153 37 R 606 10 R 607 73 R 607 264 R +607 -246 R 606 -108 R 304 -12 R 303 -44 R 121 10 R 122 68 R 60 85 R +61 -136 R 61 23 R 60 48 R 61 0 R 61 -103 R 30 -11 R 30 -14 R 31 32 R +30 -37 R 30 -9 R 31 -11 R 30 -5 R 30 -7 R 31 -12 R 30 -7 R 30 4 R 31 10 R +30 -2 R 30 -20 R 31 -11 R 30 -5 R 30 16 R 31 -2 R 30 -24 R 30 -3 R 31 14 R +30 -20 R 30 -10 R 31 -8 R 30 -5 R 30 116 R 31 -81 R 30 -20 R 31 22 R +30 -23 R 30 101 R 31 128 R 30 -102 R 30 -27 R 31 -18 R 30 -37 R 30 10 R +31 90 R 30 -36 R 30 48 R 31 104 R 30 -74 R 30 143 R 31 136 R 30 -2 R 30 65 R +31 -20 R 30 30 R 30 -49 R 31 -9 R 30 47 R 30 -14 R 31 25 R 30 -5 R 30 -16 R +31 -6 R 30 -68 R 30 -9 R 31 -52 R 30 -18 R 30 -20 R 31 -24 R 30 2 R 30 -27 R +31 -9 R 30 -15 R 30 -14 R 31 -9 R 30 -2 R 30 -18 R 31 -2 R 30 -10 R 30 -12 R +31 -11 R 30 -10 R 30 -8 R 31 -8 R 30 -8 R 30 -8 R 31 -8 R 60 -6 R 61 -5 R +61 -25 R 60 -13 R 61 -13 R 61 -13 R 60 -9 R 61 -5 R 61 -17 R 60 -11 R D L0 +1.000 0.000 0.000 setrgbcolor 9674 3520 M 213 122 R 425 47 R 425 53 R +424 17 R 425 -180 R 425 -20 R 425 185 R 424 -212 R 425 -119 R 425 -84 R +424 -81 R 425 -69 R 425 -57 R 425 -44 R 424 -38 R 425 -54 R 425 -33 R +424 -36 R D 0.000 0.514 1.000 setrgbcolor 9674 3502 M 153 38 R 303 118 R +303 119 R 304 294 R 303 -92 R 303 -111 R 304 -15 R 303 -87 R 304 20 R +303 25 R 303 -85 R 304 2 R 303 25 R 303 -40 R 304 -32 R 303 -17 R 303 -4 R +304 -54 R 303 -24 R 304 16 R 303 -13 R 303 65 R 304 -38 R 303 -14 R +303 342 R D +%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%+ font Symbol +%%+ font AvantGarde-Book +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%+ font Symbol +%%+ font AvantGarde-Book +%%EOF diff --git a/feedback/papers/0506398/f14.ps b/feedback/papers/0506398/f14.ps new file mode 100644 index 0000000..58290ed --- /dev/null +++ b/feedback/papers/0506398/f14.ps @@ -0,0 +1,4122 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 558 720 +%%Title: Graphics produced by IDL +%%For: phopkins@dhcp152-235.cfa.harvard.edu, +%% /Users/phopkins/Documents/lars_galaxies/plots/LF_massive +%%Creator: IDL Student Edition 6.0.3, Mac OS X (darwin ppc m32) +%%CreationDate: Mon Aug 29 02:31:18 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2003 Research Systems, Inc. All Rights Reserved. +%v 4 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef end 2.5 setmiterlimit +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 558 720 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 1794 6706 M 7881 0 R D +2888 6706 M 0 112 R D gsave 2888 6172 translate 0 0 M 1.01 dup scale +-58.8433 0 N +( ) show grestore 5078 6706 M 0 112 R D gsave 5078 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 7267 6706 M 0 112 R D gsave 7267 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 9456 6706 M 0 112 R D gsave 9456 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 1794 6706 M 0 56 R D 2013 6706 M 0 56 R D 2232 6706 M +0 56 R D 2451 6706 M 0 56 R D 2670 6706 M 0 56 R D 3107 6706 M 0 56 R D +3326 6706 M 0 56 R D 3545 6706 M 0 56 R D 3764 6706 M 0 56 R D 3983 6706 M +0 56 R D 4202 6706 M 0 56 R D 4421 6706 M 0 56 R D 4640 6706 M 0 56 R D +4859 6706 M 0 56 R D 5297 6706 M 0 56 R D 5515 6706 M 0 56 R D 5734 6706 M +0 56 R D 5953 6706 M 0 56 R D 6172 6706 M 0 56 R D 6391 6706 M 0 56 R D +6610 6706 M 0 56 R D 6829 6706 M 0 56 R D 7048 6706 M 0 56 R D 7486 6706 M +0 56 R D 7705 6706 M 0 56 R D 7924 6706 M 0 56 R D 8142 6706 M 0 56 R D +8361 6706 M 0 56 R D 8580 6706 M 0 56 R D 8799 6706 M 0 56 R D 9018 6706 M +0 56 R D 9237 6706 M 0 56 R D 9675 6706 M 0 56 R D +gsave 5734 5710 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 1794 12345 M 7881 0 R D 2888 12345 M 0 -113 R D +5078 12345 M 0 -113 R D 7267 12345 M 0 -113 R D 9456 12345 M 0 -113 R D +1794 12345 M 0 -57 R D 2013 12345 M 0 -57 R D 2232 12345 M 0 -57 R D +2451 12345 M 0 -57 R D 2670 12345 M 0 -57 R D 3107 12345 M 0 -57 R D +3326 12345 M 0 -57 R D 3545 12345 M 0 -57 R D 3764 12345 M 0 -57 R D +3983 12345 M 0 -57 R D 4202 12345 M 0 -57 R D 4421 12345 M 0 -57 R D +4640 12345 M 0 -57 R D 4859 12345 M 0 -57 R D 5297 12345 M 0 -57 R D +5515 12345 M 0 -57 R D 5734 12345 M 0 -57 R D 5953 12345 M 0 -57 R D +6172 12345 M 0 -57 R D 6391 12345 M 0 -57 R D 6610 12345 M 0 -57 R D +6829 12345 M 0 -57 R D 7048 12345 M 0 -57 R D 7486 12345 M 0 -57 R D +7705 12345 M 0 -57 R D 7924 12345 M 0 -57 R D 8142 12345 M 0 -57 R D +8361 12345 M 0 -57 R D 8580 12345 M 0 -57 R D 8799 12345 M 0 -57 R D +9018 12345 M 0 -57 R D 9237 12345 M 0 -57 R D 9675 12345 M 0 -57 R D +1794 6706 M 0 5639 R D 1794 7010 M 157 0 R D gsave 1682 6868 translate 0 0 M +1.01 dup scale -376.343 0 N +(-3) show grestore 1794 8534 M 157 0 R D gsave 1682 8392 translate 0 0 M +1.01 dup scale -376.343 0 N +(-2) show grestore 1794 10058 M 157 0 R D gsave 1682 9916 translate 0 0 M +1.01 dup scale -376.343 0 N +(-1) show grestore 1794 11583 M 157 0 R D gsave 1682 11440 translate 0 0 M +1.01 dup scale -235.373 0 N +(0) show grestore 1794 6706 M 79 0 R D 1794 6858 M 79 0 R D 1794 7163 M +79 0 R D 1794 7315 M 79 0 R D 1794 7468 M 79 0 R D 1794 7620 M 79 0 R D +1794 7772 M 79 0 R D 1794 7925 M 79 0 R D 1794 8077 M 79 0 R D 1794 8230 M +79 0 R D 1794 8382 M 79 0 R D 1794 8687 M 79 0 R D 1794 8839 M 79 0 R D +1794 8992 M 79 0 R D 1794 9144 M 79 0 R D 1794 9296 M 79 0 R D 1794 9449 M +79 0 R D 1794 9601 M 79 0 R D 1794 9754 M 79 0 R D 1794 9906 M 79 0 R D +1794 10211 M 79 0 R D 1794 10363 M 79 0 R D 1794 10516 M 79 0 R D +1794 10668 M 79 0 R D 1794 10821 M 79 0 R D 1794 10973 M 79 0 R D +1794 11125 M 79 0 R D 1794 11278 M 79 0 R D 1794 11430 M 79 0 R D +1794 11735 M 79 0 R D 1794 11887 M 79 0 R D 1794 12040 M 79 0 R D +1794 12192 M 79 0 R D 1794 12345 M 79 0 R D gsave 965 9525 translate 0 0 M +90 rotate 1.01 dup scale -58.8433 0 N +( ) show grestore 9675 6706 M 0 5639 R D 9675 7010 M -158 0 R D 9675 8534 M +-158 0 R D 9675 10058 M -158 0 R D 9675 11583 M -158 0 R D 9675 6706 M +-79 0 R D 9675 6858 M -79 0 R D 9675 7163 M -79 0 R D 9675 7315 M -79 0 R D +9675 7468 M -79 0 R D 9675 7620 M -79 0 R D 9675 7772 M -79 0 R D +9675 7925 M -79 0 R D 9675 8077 M -79 0 R D 9675 8230 M -79 0 R D +9675 8382 M -79 0 R D 9675 8687 M -79 0 R D 9675 8839 M -79 0 R D +9675 8992 M -79 0 R D 9675 9144 M -79 0 R D 9675 9296 M -79 0 R D +9675 9449 M -79 0 R D 9675 9601 M -79 0 R D 9675 9754 M -79 0 R D +9675 9906 M -79 0 R D 9675 10211 M -79 0 R D 9675 10363 M -79 0 R D +9675 10516 M -79 0 R D 9675 10668 M -79 0 R D 9675 10821 M -79 0 R D +9675 10973 M -79 0 R D 9675 11125 M -79 0 R D 9675 11278 M -79 0 R D +9675 11430 M -79 0 R D 9675 11735 M -79 0 R D 9675 11887 M -79 0 R D +9675 12040 M -79 0 R D 9675 12192 M -79 0 R D 9675 12345 M -79 0 R D +20 setlinewidth 5091 9397 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +1852 6828 M 111 -111 R -12 -12 R D 1793 6769 M 59 59 R D 1874 6852 M +111 -111 R -36 -36 R D 1799 6705 M -6 6 R D 1793 6771 M 81 81 R D +1988 6956 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 2033 6994 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 1967 6934 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 2185 7122 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 2011 6969 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 2759 7612 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +2558 7438 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 2871 7703 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 3088 7884 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 3339 8092 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 3500 8223 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 3418 8160 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +3945 8597 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 3590 8310 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 3918 8583 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 4482 9041 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 4226 8840 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 4277 8884 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +4343 8937 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 4749 9266 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 4391 8989 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 4920 9411 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 4894 9404 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 5384 9793 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +5520 9905 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 5394 9819 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 5113 9614 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 5255 9727 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 4949 9507 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 5920 10252 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +5674 10079 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 5777 10148 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 4171 8929 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 6363 10619 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 6465 10710 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 5596 10082 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +7772 11626 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 5422 9973 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 5633 10145 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 4969 9651 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 5605 10131 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 6008 10440 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +5633 10170 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 6390 10721 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 5985 10430 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 3875 8790 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 4568 9344 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 4522 9307 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +5952 10403 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 5679 10202 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 5128 9781 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 4484 9269 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 4799 9541 M 111 -111 R -111 -111 R -111 111 R 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111 111 R D 5564 10174 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 6172 10632 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +5493 10124 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 4075 9000 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 5423 10035 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 7030 11222 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 4577 9386 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 8177 11964 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +8132 11934 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 7220 11328 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 6958 11142 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 6174 10592 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 6849 11059 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 5263 9920 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +5584 10164 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 7339 11415 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 6188 10630 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 6243 10606 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 6855 11115 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 6562 10913 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +6457 10845 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 5688 10269 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 4317 9223 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 4532 9397 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 4843 9642 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 3828 8833 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +4748 9573 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 4678 9521 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 4027 9003 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 3354 8453 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 3468 8550 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 2705 7914 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +3269 8396 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 2845 8045 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 1860 7200 M 111 -111 R +-111 -111 R -67 67 R D 1793 7133 M 67 67 R D 1913 7252 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 1793 7175 M 1 1 R 219 153 R 219 152 R +219 153 R 219 152 R 218 152 R 219 153 R 219 152 R 219 153 R 219 152 R +219 152 R 219 153 R 219 152 R 219 153 R 219 152 R 219 152 R 219 153 R +218 152 R 219 153 R 219 152 R 219 153 R 219 152 R 219 152 R 219 153 R +219 152 R 219 153 R 219 152 R 219 152 R 219 153 R 218 152 R 219 153 R +219 152 R 219 152 R 219 153 R 198 138 R D gsave 2232 11583 translate 0 0 M +1.2 dup scale +(f) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(gas) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( = 0.2) show grestore 0.000 0.514 1.000 setrgbcolor 3164 7619 M -1 14 R +-3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 10 R -12 8 R -13 6 R -14 5 R +-14 3 R -14 1 R -15 -1 R -14 -3 R -14 -5 R -13 -6 R -12 -8 R -11 -10 R +-9 -11 R -9 -12 R -6 -13 R -5 -14 R -2 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-14 3 R -14 1 R -15 -1 R -14 -3 R -14 -5 R -13 -6 R +-12 -8 R -11 -10 R -9 -11 R -8 -12 R -7 -13 R -4 -14 R -3 -14 R -1 -14 R +1 -15 R 3 -14 R 4 -14 R 7 -13 R 8 -12 R 9 -11 R 11 -9 R 12 -8 R 13 -7 R +14 -5 R 14 -2 R 15 -1 R 14 1 R 14 2 R 14 5 R 13 7 R 12 8 R 11 9 R 10 11 R +8 12 R 6 13 R 5 14 R 3 14 R 1 15 R F +2088 6856 M -1 14 R -3 15 R -4 13 R -7 13 R -8 12 R -9 11 R -11 10 R -12 8 R +-13 6 R -14 5 R -14 3 R -15 1 R -14 -1 R -15 -3 R -13 -5 R -13 -6 R -12 -8 R +-11 -10 R -10 -11 R -8 -12 R -6 -13 R -5 -13 R -3 -15 R -1 -14 R 1 -15 R +3 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -9 R 12 -8 R 13 -7 R 13 -4 R +15 -3 R 14 -1 R 15 1 R 14 3 R 14 4 R 13 7 R 12 8 R 11 9 R 9 11 R 8 12 R +7 13 R 4 14 R 3 14 R 1 15 R F +2275 7008 M -1 15 R -3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 9 R -12 8 R +-13 7 R -14 5 R -14 2 R -14 1 R -15 -1 R -14 -2 R -14 -5 R -13 -7 R -12 -8 R +-11 -9 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R -2 -14 R -1 -15 R 1 -14 R +2 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -10 R 12 -8 R 13 -6 R 14 -5 R +14 -3 R 15 -1 R 14 1 R 14 3 R 14 5 R 13 6 R 12 8 R 11 10 R 10 11 R 8 12 R +6 13 R 5 14 R 3 14 R 1 14 R F +2603 7277 M -1 15 R -2 14 R -5 14 R -6 13 R -9 12 R -9 11 R -11 9 R -12 8 R +-13 7 R -14 4 R -14 3 R -15 1 R -14 -1 R -14 -3 R -14 -4 R -13 -7 R -12 -8 R +-11 -9 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R -1 -15 R 1 -14 R +3 -15 R 5 -13 R 6 -13 R 8 -12 R 10 -11 R 11 -10 R 12 -8 R 13 -6 R 14 -5 R +14 -3 R 14 -1 R 15 1 R 14 3 R 14 5 R 13 6 R 12 8 R 11 10 R 9 11 R 9 12 R +6 13 R 5 13 R 2 15 R 1 14 R F +2898 7514 M -1 14 R -3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 10 R +-12 8 R -13 6 R -13 5 R -15 3 R -14 1 R -15 -1 R -14 -3 R -14 -5 R -13 -6 R +-12 -8 R -11 -10 R -9 -11 R -8 -12 R -7 -13 R -4 -14 R -3 -14 R -1 -14 R +1 -15 R 3 -14 R 4 -14 R 7 -13 R 8 -12 R 9 -11 R 11 -9 R 12 -9 R 13 -6 R +14 -5 R 14 -2 R 15 -1 R 14 1 R 15 2 R 13 5 R 13 6 R 12 9 R 11 9 R 10 11 R +8 12 R 6 13 R 5 14 R 3 14 R 1 15 R F +3330 7860 M -1 14 R -3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 10 R +-12 8 R -13 6 R -14 5 R -14 3 R -14 1 R -15 -1 R -14 -3 R -14 -5 R -13 -6 R +-12 -8 R -11 -10 R -9 -11 R -8 -12 R -7 -13 R -4 -14 R -3 -14 R -1 -14 R +1 -15 R 3 -14 R 4 -14 R 7 -13 R 8 -12 R 9 -11 R 11 -9 R 12 -9 R 13 -6 R +14 -5 R 14 -2 R 15 -1 R 14 1 R 14 2 R 14 5 R 13 6 R 12 9 R 11 9 R 10 11 R +8 12 R 6 13 R 5 14 R 3 14 R 1 15 R F +3449 7949 M -1 15 R -3 14 R -4 14 R -7 13 R -8 12 R -9 11 R -11 9 R -12 8 R +-13 7 R -14 4 R -14 3 R -15 1 R -14 -1 R -14 -3 R -14 -4 R -13 -7 R -12 -8 R +-11 -9 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R -1 -15 R 1 -14 R +3 -15 R 5 -13 R 6 -13 R 8 -12 R 10 -11 R 11 -10 R 12 -8 R 13 -6 R 14 -5 R +14 -3 R 14 -1 R 15 1 R 14 3 R 14 5 R 13 6 R 12 8 R 11 10 R 9 11 R 8 12 R +7 13 R 4 13 R 3 15 R 1 14 R F +3912 8311 M -1 14 R -3 15 R -4 13 R -7 13 R -8 13 R -9 10 R -11 10 R -12 8 R +-13 7 R -14 4 R -14 3 R -15 1 R -14 -1 R -15 -3 R -13 -4 R -13 -7 R -13 -8 R +-10 -10 R -10 -10 R -8 -13 R -7 -13 R -4 -13 R -3 -15 R -1 -14 R 1 -15 R +3 -14 R 4 -13 R 7 -14 R 8 -12 R 10 -11 R 10 -9 R 13 -8 R 13 -7 R 13 -4 R +15 -3 R 14 -1 R 15 1 R 14 3 R 14 4 R 13 7 R 12 8 R 11 9 R 9 11 R 8 12 R +7 14 R 4 13 R 3 14 R 1 15 R F +4410 8693 M -1 14 R -3 15 R -5 13 R -6 13 R -8 12 R -10 11 R -11 10 R +-12 8 R -13 6 R -14 5 R -14 3 R -14 1 R -15 -1 R -14 -3 R -14 -5 R -13 -6 R +-12 -8 R -11 -10 R -9 -11 R -8 -12 R -7 -13 R -5 -13 R -2 -15 R -1 -14 R +1 -15 R 2 -14 R 5 -14 R 7 -13 R 8 -12 R 9 -11 R 11 -9 R 12 -8 R 13 -7 R +14 -4 R 14 -3 R 15 -1 R 14 1 R 14 3 R 14 4 R 13 7 R 12 8 R 11 9 R 10 11 R +8 12 R 6 13 R 5 14 R 3 14 R 1 15 R F +4792 9000 M -1 14 R -3 15 R -5 13 R -6 13 R -8 12 R -10 11 R -11 10 R +-12 8 R -13 6 R -14 5 R -14 3 R -14 1 R -15 -1 R -14 -3 R -14 -5 R -13 -6 R +-12 -8 R -11 -10 R -9 -11 R -9 -12 R -6 -13 R -5 -13 R -2 -15 R -1 -14 R +1 -15 R 2 -14 R 5 -14 R 6 -13 R 9 -12 R 9 -11 R 11 -9 R 12 -8 R 13 -7 R +14 -4 R 14 -3 R 15 -1 R 14 1 R 14 3 R 14 4 R 13 7 R 12 8 R 11 9 R 10 11 R +8 12 R 6 13 R 5 14 R 3 14 R 1 15 R F +5142 9279 M -1 14 R -2 15 R -5 13 R -6 13 R -9 12 R -9 11 R -11 10 R -12 8 R +-13 6 R -14 5 R -14 3 R -15 1 R -14 -1 R -14 -3 R -14 -5 R -13 -6 R -12 -8 R +-11 -10 R -10 -11 R -8 -12 R -6 -13 R -5 -13 R -3 -15 R -1 -14 R 1 -15 R +3 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -9 R 12 -8 R 13 -7 R 14 -4 R +14 -3 R 14 -1 R 15 1 R 14 3 R 14 4 R 13 7 R 12 8 R 11 9 R 9 11 R 9 12 R +6 13 R 5 14 R 2 14 R 1 15 R F +5278 9395 M -1 15 R -3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 9 R -12 8 R +-13 7 R -13 4 R -15 3 R -14 1 R -15 -1 R -14 -3 R -14 -4 R -13 -7 R -12 -8 R +-11 -9 R -9 -11 R -8 -12 R -7 -13 R -4 -14 R -3 -14 R -1 -15 R 1 -14 R +3 -15 R 4 -13 R 7 -13 R 8 -12 R 9 -11 R 11 -10 R 12 -8 R 13 -6 R 14 -5 R +14 -3 R 15 -1 R 14 1 R 15 3 R 13 5 R 13 6 R 12 8 R 11 10 R 10 11 R 8 12 R +6 13 R 5 13 R 3 15 R 1 14 R F +5561 9619 M -1 14 R -2 14 R -5 14 R -6 13 R -9 12 R -9 11 R -11 10 R -12 8 R +-13 6 R -14 5 R -14 3 R -15 1 R -14 -1 R -14 -3 R -14 -5 R -13 -6 R -12 -8 R +-11 -10 R -10 -11 R -8 -12 R -6 -13 R -5 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R +8 12 R 6 13 R 5 14 R 3 14 R 1 15 R F +6766 10764 M -1 15 R -3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 9 R +-12 8 R -13 7 R -14 4 R -14 3 R -14 1 R -15 -1 R -14 -3 R -14 -4 R -13 -7 R +-12 -8 R -11 -9 R -9 -11 R -8 -12 R -7 -13 R -5 -14 R -2 -14 R -1 -15 R +1 -14 R 2 -15 R 5 -13 R 7 -13 R 8 -13 R 9 -10 R 11 -10 R 12 -8 R 13 -6 R +14 -5 R 14 -3 R 15 -1 R 14 1 R 14 3 R 14 5 R 13 6 R 12 8 R 11 10 R 10 10 R +8 13 R 6 13 R 5 13 R 3 15 R 1 14 R F +6221 10391 M -1 15 R -3 14 R -4 14 R -7 13 R -8 12 R -10 11 R -10 9 R +-13 9 R -13 6 R -13 5 R -15 2 R -14 1 R -15 -1 R -14 -2 R -13 -5 R -14 -6 R +-12 -9 R -11 -9 R -9 -11 R -8 -12 R -7 -13 R -4 -14 R -3 -14 R -1 -15 R +1 -14 R 3 -14 R 4 -14 R 7 -13 R 8 -12 R 9 -11 R 11 -10 R 12 -8 R 14 -6 R +13 -5 R 14 -3 R 15 -1 R 14 1 R 15 3 R 13 5 R 13 6 R 13 8 R 10 10 R 10 11 R +8 12 R 7 13 R 4 14 R 3 14 R 1 14 R F +6478 10559 M -1 15 R -3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 9 R +-12 8 R -13 7 R -14 5 R -14 2 R -14 1 R -15 -1 R -14 -2 R -14 -5 R -13 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12 -8 R 13 -6 R 13 -5 R +15 -3 R 14 -1 R 15 1 R 14 3 R 14 5 R 13 6 R 12 8 R 11 10 R 9 11 R 8 12 R +7 13 R 4 14 R 3 14 R 1 14 R F +2358 7440 M -1 14 R -2 14 R -5 14 R -7 13 R -8 12 R -9 11 R -11 10 R -12 8 R +-13 6 R -14 5 R -14 3 R -15 1 R -14 -1 R -14 -3 R -14 -5 R -13 -6 R -12 -8 R +-11 -10 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R -1 -14 R 1 -15 R +3 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -9 R 12 -9 R 13 -6 R 14 -5 R +14 -2 R 14 -1 R 15 1 R 14 2 R 14 5 R 13 6 R 12 9 R 11 9 R 9 11 R 8 12 R +7 13 R 5 14 R 2 14 R 1 15 R F +2355 7447 M -1 14 R -3 15 R -5 13 R -6 14 R -8 12 R -10 10 R -11 10 R +-12 8 R -13 7 R -14 4 R -14 3 R -14 1 R -15 -1 R -14 -3 R -14 -4 R -13 -7 R +-12 -8 R -11 -10 R -9 -10 R -8 -12 R -7 -14 R -4 -13 R -3 -15 R -1 -14 R +1 -14 R 3 -15 R 4 -13 R 7 -13 R 8 -13 R 9 -10 R 11 -10 R 12 -8 R 13 -7 R +14 -4 R 14 -3 R 15 -1 R 14 1 R 14 3 R 14 4 R 13 7 R 12 8 R 11 10 R 10 10 R +8 13 R 6 13 R 5 13 R 3 15 R 1 14 R F +2185 7311 M -1 15 R -3 14 R -4 14 R -7 13 R -8 12 R 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R 219 153 R 219 152 R 219 152 R 218 153 R +219 152 R 219 153 R 219 152 R 219 152 R 219 153 R 219 152 R 219 153 R +219 152 R 219 152 R 219 153 R 219 152 R 218 153 R 219 152 R 219 152 R +219 153 R 219 152 R 219 153 R 219 152 R 219 152 R 219 153 R 219 152 R +219 153 R 219 152 R 218 152 R 219 153 R 219 152 R 219 153 R 38 27 R D +0.000 0.000 0.000 setrgbcolor gsave 2232 11583 translate 0 0 M 1.2 dup scale +(f) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(gas) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( = 0.2) show grestore 1.000 0.000 0.000 setrgbcolor 1794 8000 M -1 -1 R D +1793 7779 M 1 -1 R D 2101 8222 M -222 -222 R 111 111 R -111 111 R 222 -222 R +D 2757 8710 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 3099 8963 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 3193 9040 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 3294 9121 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 3410 9212 M -222 -222 R 111 111 R 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222 -222 R D +2822 8944 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 2811 8949 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 2804 8957 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 2830 8988 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 2854 9018 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 2854 9031 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +2869 9054 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 2908 9095 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 3145 9271 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 3193 9314 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 3225 9347 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 3201 9340 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +2920 9154 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 3037 9246 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 3175 9352 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 3314 9458 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 3330 9480 M -222 -222 R 111 111 R -111 111 R 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+(gas) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( = 0.2) show grestore 15 setlinewidth 9675 6706 M 7881 0 R D 10769 6706 M +0 112 R D gsave 10769 6172 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 12959 6706 M 0 112 R D gsave 12959 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 15148 6706 M 0 112 R D gsave 15148 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 17337 6706 M 0 112 R D gsave 17337 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 9675 6706 M 0 56 R D 9894 6706 M 0 56 R D 10113 6706 M +0 56 R D 10332 6706 M 0 56 R D 10551 6706 M 0 56 R D 10988 6706 M 0 56 R D +11207 6706 M 0 56 R D 11426 6706 M 0 56 R D 11645 6706 M 0 56 R D +11864 6706 M 0 56 R D 12083 6706 M 0 56 R D 12302 6706 M 0 56 R D +12521 6706 M 0 56 R D 12740 6706 M 0 56 R D 13178 6706 M 0 56 R D +13396 6706 M 0 56 R D 13615 6706 M 0 56 R D 13834 6706 M 0 56 R D +14053 6706 M 0 56 R D 14272 6706 M 0 56 R D 14491 6706 M 0 56 R D +14710 6706 M 0 56 R D 14929 6706 M 0 56 R D 15367 6706 M 0 56 R D +15586 6706 M 0 56 R D 15805 6706 M 0 56 R D 16023 6706 M 0 56 R D +16242 6706 M 0 56 R D 16461 6706 M 0 56 R D 16680 6706 M 0 56 R D +16899 6706 M 0 56 R D 17118 6706 M 0 56 R D 17556 6706 M 0 56 R D +gsave 13615 5710 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 9675 12345 M 7881 0 R D 10769 12345 M 0 -113 R D +12959 12345 M 0 -113 R D 15148 12345 M 0 -113 R D 17337 12345 M 0 -113 R D +9675 12345 M 0 -57 R D 9894 12345 M 0 -57 R D 10113 12345 M 0 -57 R D +10332 12345 M 0 -57 R D 10551 12345 M 0 -57 R D 10988 12345 M 0 -57 R D +11207 12345 M 0 -57 R D 11426 12345 M 0 -57 R D 11645 12345 M 0 -57 R D +11864 12345 M 0 -57 R D 12083 12345 M 0 -57 R D 12302 12345 M 0 -57 R D +12521 12345 M 0 -57 R D 12740 12345 M 0 -57 R D 13178 12345 M 0 -57 R D +13396 12345 M 0 -57 R D 13615 12345 M 0 -57 R D 13834 12345 M 0 -57 R D +14053 12345 M 0 -57 R D 14272 12345 M 0 -57 R D 14491 12345 M 0 -57 R D +14710 12345 M 0 -57 R D 14929 12345 M 0 -57 R D 15367 12345 M 0 -57 R D +15586 12345 M 0 -57 R D 15805 12345 M 0 -57 R D 16023 12345 M 0 -57 R D +16242 12345 M 0 -57 R D 16461 12345 M 0 -57 R D 16680 12345 M 0 -57 R D +16899 12345 M 0 -57 R D 17118 12345 M 0 -57 R D 17556 12345 M 0 -57 R D +9675 6706 M 0 5639 R D 9675 7010 M 157 0 R D gsave 9563 6868 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 8534 M 157 0 R D gsave 9563 8392 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 10058 M 157 0 R D gsave 9563 9916 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 11583 M 157 0 R D gsave 9563 11440 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 6706 M 79 0 R D 9675 6858 M 79 0 R D 9675 7163 M +79 0 R D 9675 7315 M 79 0 R D 9675 7468 M 79 0 R D 9675 7620 M 79 0 R D +9675 7772 M 79 0 R D 9675 7925 M 79 0 R D 9675 8077 M 79 0 R D 9675 8230 M +79 0 R D 9675 8382 M 79 0 R D 9675 8687 M 79 0 R D 9675 8839 M 79 0 R D +9675 8992 M 79 0 R D 9675 9144 M 79 0 R D 9675 9296 M 79 0 R D 9675 9449 M +79 0 R D 9675 9601 M 79 0 R D 9675 9754 M 79 0 R D 9675 9906 M 79 0 R D +9675 10211 M 79 0 R D 9675 10363 M 79 0 R D 9675 10516 M 79 0 R D +9675 10668 M 79 0 R D 9675 10821 M 79 0 R D 9675 10973 M 79 0 R D +9675 11125 M 79 0 R D 9675 11278 M 79 0 R D 9675 11430 M 79 0 R D +9675 11735 M 79 0 R D 9675 11887 M 79 0 R D 9675 12040 M 79 0 R D +9675 12192 M 79 0 R D 9675 12345 M 79 0 R D gsave 9108 9525 translate 0 0 M +90 rotate 1.01 dup scale -58.8433 0 N +( ) show grestore 17556 6706 M 0 5639 R D 17556 7010 M -158 0 R D +17556 8534 M -158 0 R D 17556 10058 M -158 0 R D 17556 11583 M -158 0 R D +17556 6706 M -79 0 R D 17556 6858 M -79 0 R D 17556 7163 M -79 0 R D +17556 7315 M -79 0 R D 17556 7468 M -79 0 R D 17556 7620 M -79 0 R D +17556 7772 M -79 0 R D 17556 7925 M -79 0 R D 17556 8077 M -79 0 R D +17556 8230 M -79 0 R D 17556 8382 M -79 0 R D 17556 8687 M -79 0 R D +17556 8839 M -79 0 R D 17556 8992 M -79 0 R D 17556 9144 M -79 0 R D +17556 9296 M -79 0 R D 17556 9449 M -79 0 R D 17556 9601 M -79 0 R D +17556 9754 M -79 0 R D 17556 9906 M -79 0 R D 17556 10211 M -79 0 R D +17556 10363 M -79 0 R D 17556 10516 M -79 0 R D 17556 10668 M -79 0 R D +17556 10821 M -79 0 R D 17556 10973 M -79 0 R D 17556 11125 M -79 0 R D +17556 11278 M -79 0 R D 17556 11430 M -79 0 R D 17556 11735 M -79 0 R D +17556 11887 M -79 0 R D 17556 12040 M -79 0 R D 17556 12192 M -79 0 R D +17556 12345 M -79 0 R D 20 setlinewidth 13383 8297 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 11123 6764 M 59 -59 R D 11064 6705 M 59 59 R D +11055 6710 M 5 -5 R D 11050 6705 M 5 5 R D 11075 6730 M 25 -25 R D +11050 6705 M 25 25 R D 11074 6739 M 34 -34 R D 11040 6705 M 34 34 R D +11237 6881 M 111 -111 R -65 -65 R D 11191 6705 M -65 65 R 111 111 R D +11178 6838 M 111 -111 R -22 -22 R D 11089 6705 M -22 22 R 111 111 R D +11245 6900 M 111 -111 R -84 -84 R D 11218 6705 M -84 84 R 111 111 R D +11129 6810 M 105 -105 R D 11024 6705 M 105 105 R D 11138 6824 M 111 -111 R +-8 -8 R D 11035 6705 M -8 8 R 111 111 R D 11251 6942 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 10981 6743 M 38 -38 R D 10943 6705 M +38 38 R D 11273 7011 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +11320 7075 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 11415 7176 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 11435 7196 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 11246 7041 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 11394 7165 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 11339 7121 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +11444 7207 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 11392 7151 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 11342 7100 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 11369 7107 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 11445 7160 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 11268 7004 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +11366 7089 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 11755 7412 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 11576 7277 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 11600 7304 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 11452 7191 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 11642 7340 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +11696 7379 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 11562 7266 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 11677 7353 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 11590 7278 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 11595 7294 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 11640 7344 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +11630 7350 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 11747 7457 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 11373 7167 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 11526 7289 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 11754 7469 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 11795 7498 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +11621 7356 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 11806 7504 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 11848 7559 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 11761 7514 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 11779 7553 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 11727 7535 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +11877 7674 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 12157 7869 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 11893 7632 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 12056 7728 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 12031 7682 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 12200 7786 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +12410 7946 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 12692 8158 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 12897 8309 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 12683 8150 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 13803 8945 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 14511 9407 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +14735 9550 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 15064 9746 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 15192 9824 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 14882 9660 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 15354 9944 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 15432 10009 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +15239 9932 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 15474 10080 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 15564 10146 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 15100 9916 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 15897 10289 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 15918 10326 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +14803 9767 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 14823 9789 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 16280 10493 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 16233 10500 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 15537 10092 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 14188 9421 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +15491 10139 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 14266 9459 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 14393 9524 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 15351 10047 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 14565 9576 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 14313 9416 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +14114 9298 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 14137 9309 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 14047 9247 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 14493 9522 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 13820 9089 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 13842 9093 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +13638 8939 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 13547 8870 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 13489 8819 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 12937 8414 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 13389 8739 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 13808 9030 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +14474 9344 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 13524 8828 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 13251 8651 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 12813 8335 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 13037 8501 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 13100 8548 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +12984 8466 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 14458 9509 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 10600 6705 M 169 118 R +219 152 R 219 152 R 219 153 R 219 152 R 219 153 R 219 152 R 219 152 R +219 153 R 219 152 R 219 153 R 219 152 R 218 152 R 219 153 R 219 152 R +219 153 R 219 152 R 219 152 R 219 153 R 219 152 R 219 153 R 219 152 R +219 152 R 219 153 R 218 152 R 219 153 R 219 152 R 219 153 R 219 152 R +219 152 R 219 153 R 218 151 R D gsave 10113 11583 translate 0 0 M +1.2 dup scale +(f) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(gas) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( = 0.4) show grestore 0.000 0.514 1.000 setrgbcolor 11028 6881 M -1 14 R +-3 15 R -5 13 R -6 13 R -8 12 R -10 11 R -11 10 R -12 8 R -13 6 R -14 5 R +-14 3 R -14 1 R -15 -1 R -14 -3 R -14 -5 R -13 -6 R -12 -8 R -11 -10 R +-9 -11 R -9 -12 R -6 -13 R -5 -13 R -2 -15 R -1 -14 R 1 -15 R 2 -14 R +5 -14 R 6 -13 R 9 -12 R 9 -11 R 11 -9 R 12 -8 R 13 -7 R 14 -4 R 14 -3 R +15 -1 R 14 1 R 14 3 R 14 4 R 13 7 R 12 8 R 11 9 R 10 11 R 8 12 R 6 13 R +5 14 R 3 14 R 1 15 R F +10637 6705 M -6 4 R -13 6 R -14 5 R -14 3 R -15 1 R -14 -1 R -14 -3 R +-14 -5 R -13 -6 R -6 -4 R F +10493 6705 M -10 2 R -14 1 R -15 -1 R -10 -2 R F +10507 6705 M -4 1 R -14 1 R -15 -1 R -5 -1 R F +10587 6705 M -1 1 R -12 8 R -13 6 R -14 5 R -14 3 R -15 0 R -14 0 R -15 -3 R +-13 -5 R -13 -6 R -12 -8 R -2 -1 R F +10569 6705 M -7 5 R -13 6 R -14 5 R -14 3 R -14 0 R -15 0 R -14 -3 R +-14 -5 R -13 -6 R -8 -5 R F +10842 6809 M -1 15 R -3 14 R -4 14 R -7 13 R -8 12 R -10 11 R -10 9 R +-13 8 R -13 7 R -13 4 R -15 3 R -14 1 R -14 -1 R -15 -3 R -13 -4 R -14 -7 R +-12 -8 R -10 -9 R -10 -11 R -8 -12 R -7 -13 R -4 -14 R -3 -14 R -1 -15 R +1 -14 R 3 -15 R 4 -13 R 7 -13 R 8 -12 R 10 -11 R 10 -10 R 12 -8 R 14 -6 R +5 -2 R 73 0 R 6 2 R 13 6 R 13 8 R 10 10 R 10 11 R 8 12 R 7 13 R 4 13 R +3 15 R 1 14 R F +11046 6987 M -1 14 R -2 14 R -5 14 R -6 13 R -9 12 R -9 11 R -11 10 R +-12 8 R -13 6 R -14 5 R -14 3 R -15 1 R -14 -1 R -14 -3 R -14 -5 R -13 -6 R +-12 -8 R -11 -10 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R -1 -14 R +1 -15 R 3 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -9 R 12 -9 R 13 -6 R +14 -5 R 14 -2 R 14 -1 R 15 1 R 14 2 R 14 5 R 13 6 R 12 9 R 11 9 R 9 11 R +9 12 R 6 13 R 5 14 R 2 14 R 1 15 R F +11072 7018 M -1 15 R -3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 9 R +-12 8 R -13 7 R -14 4 R -14 3 R -14 1 R -15 -1 R -14 -3 R -14 -4 R -13 -7 R +-12 -8 R -11 -9 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R 0 -15 R +0 -14 R 3 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -10 R 12 -8 R 13 -6 R +14 -5 R 14 -3 R 15 -1 R 14 1 R 14 3 R 14 5 R 13 6 R 12 8 R 11 10 R 10 11 R +8 12 R 6 13 R 5 14 R 3 14 R 1 14 R F +11216 7145 M -1 15 R -3 14 R -4 14 R -7 13 R -8 12 R -9 11 R -11 9 R -12 8 R +-13 7 R -14 4 R -14 3 R -15 1 R -14 -1 R -15 -3 R -13 -4 R -13 -7 R -12 -8 R +-11 -9 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R -1 -15 R 1 -14 R +3 -15 R 5 -13 R 6 -13 R 8 -12 R 10 -11 R 11 -10 R 12 -8 R 13 -6 R 13 -5 R +15 -3 R 14 -1 R 15 1 R 14 3 R 14 5 R 13 6 R 12 8 R 11 10 R 9 11 R 8 12 R +7 13 R 4 13 R 3 15 R 1 14 R F +11299 7220 M -1 14 R -3 14 R -4 14 R -7 13 R -8 12 R -9 11 R -11 10 R +-12 8 R -13 6 R -14 5 R -14 3 R -15 1 R -14 -1 R -15 -3 R -13 -5 R -13 -6 R +-12 -8 R -11 -10 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R -1 -14 R +1 -15 R 3 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -10 R 12 -8 R 13 -6 R +13 -5 R 15 -3 R 14 0 R 15 0 R 14 3 R 14 5 R 13 6 R 12 8 R 11 10 R 9 11 R +8 12 R 7 13 R 4 14 R 3 14 R 1 15 R F +11383 7294 M 0 14 R -3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 10 R +-12 8 R -13 6 R -14 5 R -14 3 R -15 1 R -14 -1 R -14 -3 R -14 -5 R -13 -6 R +-12 -8 R -11 -10 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R -1 -14 R +1 -15 R 3 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -9 R 12 -8 R 13 -7 R +14 -4 R 14 -3 R 14 -1 R 15 1 R 14 3 R 14 4 R 13 7 R 12 8 R 11 9 R 10 11 R +8 12 R 6 13 R 5 14 R 3 14 R 0 15 R F +11539 7424 M -1 14 R -3 15 R -4 13 R -7 13 R -8 12 R -9 11 R -11 10 R +-12 8 R -13 6 R -14 5 R -14 3 R -15 1 R -14 -1 R -14 -3 R -14 -5 R -13 -6 R +-12 -8 R -11 -10 R -10 -11 R -8 -12 R -6 -13 R -5 -13 R -3 -15 R -1 -14 R +1 -15 R 3 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -9 R 12 -8 R 13 -7 R +14 -4 R 14 -3 R 14 -1 R 15 1 R 14 3 R 14 4 R 13 7 R 12 8 R 11 9 R 9 11 R +8 12 R 7 13 R 4 14 R 3 14 R 1 15 R F +11554 7443 M -1 15 R -2 14 R -5 14 R -6 13 R -9 12 R -9 11 R -11 9 R -12 8 R +-13 7 R -14 4 R -14 3 R -15 1 R -14 -1 R -14 -3 R -14 -4 R -13 -7 R -12 -8 R +-11 -9 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R -1 -15 R 1 -14 R +3 -15 R 5 -13 R 6 -13 R 8 -12 R 10 -11 R 11 -10 R 12 -8 R 13 -6 R 14 -5 R +14 -3 R 14 -1 R 15 1 R 14 3 R 14 5 R 13 6 R 12 8 R 11 10 R 9 11 R 9 12 R +6 13 R 5 13 R 2 15 R 1 14 R F +11609 7489 M -1 15 R -3 14 R -4 14 R -7 13 R -8 12 R -9 11 R -11 9 R -12 8 R +-13 7 R -14 4 R -14 3 R -15 1 R -14 -1 R -15 -3 R -13 -4 R -13 -7 R -13 -8 R +-10 -9 R -10 -11 R -8 -12 R -7 -13 R -4 -14 R -3 -14 R -1 -15 R 1 -14 R +3 -15 R 4 -13 R 7 -13 R 8 -12 R 10 -11 R 10 -10 R 13 -8 R 13 -6 R 13 -5 R +15 -3 R 14 -1 R 15 1 R 14 3 R 14 5 R 13 6 R 12 8 R 11 10 R 9 11 R 8 12 R +7 13 R 4 13 R 3 15 R 1 14 R F +11481 7371 M -1 15 R -3 14 R -4 14 R -7 13 R -8 12 R -10 11 R -10 9 R +-12 8 R -14 7 R -13 4 R -15 3 R -14 1 R -14 -1 R -15 -3 R -13 -4 R -13 -7 R +-13 -8 R -10 -9 R -10 -11 R -8 -12 R -7 -13 R -4 -14 R -3 -14 R -1 -15 R +1 -14 R 3 -15 R 4 -13 R 7 -13 R 8 -12 R 10 -11 R 10 -10 R 13 -8 R 13 -6 R +13 -5 R 15 -3 R 14 -1 R 14 1 R 15 3 R 13 5 R 14 6 R 12 8 R 10 10 R 10 11 R +8 12 R 7 13 R 4 13 R 3 15 R 1 14 R F +11676 7502 M -1 14 R -3 15 R -5 13 R -6 13 R -8 12 R -10 11 R -11 10 R +-12 8 R -13 6 R -14 5 R -14 3 R -14 1 R -15 -1 R -14 -3 R -14 -5 R -13 -6 R +-12 -8 R -11 -10 R -9 -11 R -8 -12 R -7 -13 R -5 -13 R -2 -15 R -1 -14 R +1 -15 R 2 -14 R 5 -14 R 7 -13 R 8 -12 R 9 -11 R 11 -9 R 12 -8 R 13 -7 R +14 -4 R 14 -3 R 15 -1 R 14 1 R 14 3 R 14 4 R 13 7 R 12 8 R 11 9 R 10 11 R +8 12 R 6 13 R 5 14 R 3 14 R 1 15 R F +11853 7618 M 0 14 R -3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 10 R +-12 8 R -13 6 R -14 5 R -14 3 R -15 1 R -14 -1 R -14 -3 R -14 -5 R -13 -6 R +-12 -8 R -11 -10 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R -1 -14 R +1 -15 R 3 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -10 R 12 -8 R 13 -6 R +14 -5 R 14 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15 setlinewidth 1794 1067 M 7881 0 R D 2888 1067 M +0 112 R D gsave 2888 533 translate 0 0 M 1.01 dup scale -188.172 0 N +(-3) show grestore 5078 1067 M 0 112 R D gsave 5078 533 translate 0 0 M +1.01 dup scale -188.172 0 N +(-2) show grestore 7267 1067 M 0 112 R D gsave 7267 533 translate 0 0 M +1.01 dup scale -188.172 0 N +(-1) show grestore 9456 1067 M 0 112 R D gsave 9456 533 translate 0 0 M +1.01 dup scale -117.687 0 N +(0) show grestore 1794 1067 M 0 56 R D 2013 1067 M 0 56 R D 2232 1067 M +0 56 R D 2451 1067 M 0 56 R D 2670 1067 M 0 56 R D 3107 1067 M 0 56 R D +3326 1067 M 0 56 R D 3545 1067 M 0 56 R D 3764 1067 M 0 56 R D 3983 1067 M +0 56 R D 4202 1067 M 0 56 R D 4421 1067 M 0 56 R D 4640 1067 M 0 56 R D +4859 1067 M 0 56 R D 5297 1067 M 0 56 R D 5515 1067 M 0 56 R D 5734 1067 M +0 56 R D 5953 1067 M 0 56 R D 6172 1067 M 0 56 R D 6391 1067 M 0 56 R D +6610 1067 M 0 56 R D 6829 1067 M 0 56 R D 7048 1067 M 0 56 R D 7486 1067 M +0 56 R D 7705 1067 M 0 56 R D 7924 1067 M 0 56 R D 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3407 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 3508 2812 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 4617 3610 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +4532 3570 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 3527 2880 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 4539 3610 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 7377 5315 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 4653 3705 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 4204 3398 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +3575 2952 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 4199 3395 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 4061 3300 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 3712 3069 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 4173 3413 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 3748 3130 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +3722 3129 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 4547 3724 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 4579 3739 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 5338 4232 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 5779 4500 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 5819 4517 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +6265 4774 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 6393 4857 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 6425 4883 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 6355 4853 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 5242 4182 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 6427 4912 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +6231 4791 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 7059 5236 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 6716 5049 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 6215 4760 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 5044 4025 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 5505 4330 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +5278 4195 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 5361 4256 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 5298 4225 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 5416 4309 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 5145 4140 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 5291 4239 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +4922 4004 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 4705 3864 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 4585 3787 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 4152 3496 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 3985 3385 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 4319 3627 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +3485 3042 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 4220 3567 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 4688 3893 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 4383 3686 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 4286 3621 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 3499 3062 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +3627 3156 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 4287 3642 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 4102 3531 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 4834 4052 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 5711 4632 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 5814 4716 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +5472 4504 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 5307 4399 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 4935 4156 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 4456 3830 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 4763 4038 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 4604 3942 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +4001 3535 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 4063 3589 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 4547 3935 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 4540 3941 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 4053 3620 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 4143 3698 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +3956 3584 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 4287 3831 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 4693 4125 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 5508 4662 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 7563 5805 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 8101 6042 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +6883 5478 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 6950 5519 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 7295 5705 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 7813 5955 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 8105 6088 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 7773 5959 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +7362 5781 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 7531 5870 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 7163 5700 M -222 -222 R +111 111 R -111 111 R 222 -222 R D 7764 5989 M -222 -222 R 111 111 R +-111 111 R 222 -222 R D 7805 6018 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 7857 6053 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +1793 1384 M 1 1 R 219 152 R 219 153 R 219 152 R 219 153 R 218 152 R +219 152 R 219 153 R 219 152 R 219 153 R 219 152 R 219 152 R 219 153 R +219 152 R 219 153 R 219 152 R 219 152 R 218 153 R 219 152 R 219 153 R +219 152 R 219 152 R 219 153 R 219 152 R 219 153 R 219 152 R 219 152 R +219 153 R 219 152 R 218 153 R 219 152 R 219 152 R 219 153 R 219 152 R +219 153 R 198 138 R D 0.000 0.000 0.000 setrgbcolor +gsave 2232 5944 translate 0 0 M 1.2 dup scale +(f) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(gas) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( = 0.8) show grestore gsave 699 6706 translate 0 0 M 90 rotate +1.01 dup scale -1485.47 0 N +(log) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(10) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\( L) show CP X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(B) show M X 192.937 M +(qso) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( / L) show CP X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(B) show M X 192.937 M +(gal) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( \)) show grestore 15 setlinewidth 9675 1067 M 7881 0 R D 10769 1067 M +0 112 R D gsave 10769 533 translate 0 0 M 1.01 dup scale -188.172 0 N +(-3) show grestore 12959 1067 M 0 112 R D gsave 12959 533 translate 0 0 M +1.01 dup scale -188.172 0 N +(-2) show grestore 15148 1067 M 0 112 R D gsave 15148 533 translate 0 0 M +1.01 dup scale -188.172 0 N +(-1) show grestore 17337 1067 M 0 112 R D gsave 17337 533 translate 0 0 M +1.01 dup scale -117.687 0 N +(0) show grestore 9675 1067 M 0 56 R D 9894 1067 M 0 56 R D 10113 1067 M +0 56 R D 10332 1067 M 0 56 R D 10551 1067 M 0 56 R D 10988 1067 M 0 56 R D +11207 1067 M 0 56 R D 11426 1067 M 0 56 R D 11645 1067 M 0 56 R D +11864 1067 M 0 56 R D 12083 1067 M 0 56 R D 12302 1067 M 0 56 R D +12521 1067 M 0 56 R D 12740 1067 M 0 56 R D 13178 1067 M 0 56 R D +13396 1067 M 0 56 R D 13615 1067 M 0 56 R D 13834 1067 M 0 56 R D +14053 1067 M 0 56 R D 14272 1067 M 0 56 R D 14491 1067 M 0 56 R D +14710 1067 M 0 56 R D 14929 1067 M 0 56 R D 15367 1067 M 0 56 R D +15586 1067 M 0 56 R D 15805 1067 M 0 56 R D 16023 1067 M 0 56 R D +16242 1067 M 0 56 R D 16461 1067 M 0 56 R D 16680 1067 M 0 56 R D +16899 1067 M 0 56 R D 17118 1067 M 0 56 R D 17556 1067 M 0 56 R D +gsave 13615 71 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 9675 6706 M 7881 0 R D 10769 6706 M 0 -113 R D +12959 6706 M 0 -113 R D 15148 6706 M 0 -113 R D 17337 6706 M 0 -113 R D +9675 6706 M 0 -57 R D 9894 6706 M 0 -57 R D 10113 6706 M 0 -57 R D +10332 6706 M 0 -57 R D 10551 6706 M 0 -57 R D 10988 6706 M 0 -57 R D +11207 6706 M 0 -57 R D 11426 6706 M 0 -57 R D 11645 6706 M 0 -57 R D +11864 6706 M 0 -57 R D 12083 6706 M 0 -57 R D 12302 6706 M 0 -57 R D +12521 6706 M 0 -57 R D 12740 6706 M 0 -57 R D 13178 6706 M 0 -57 R D +13396 6706 M 0 -57 R D 13615 6706 M 0 -57 R D 13834 6706 M 0 -57 R D +14053 6706 M 0 -57 R D 14272 6706 M 0 -57 R D 14491 6706 M 0 -57 R D +14710 6706 M 0 -57 R D 14929 6706 M 0 -57 R D 15367 6706 M 0 -57 R D +15586 6706 M 0 -57 R D 15805 6706 M 0 -57 R D 16023 6706 M 0 -57 R D +16242 6706 M 0 -57 R D 16461 6706 M 0 -57 R D 16680 6706 M 0 -57 R D +16899 6706 M 0 -57 R D 17118 6706 M 0 -57 R D 17556 6706 M 0 -57 R D +9675 1067 M 0 5639 R D 9675 1371 M 157 0 R D gsave 9563 1229 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 2895 M 157 0 R D gsave 9563 2753 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 4420 M 157 0 R D gsave 9563 4277 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 5944 M 157 0 R D gsave 9563 5801 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 1067 M 79 0 R D 9675 1219 M 79 0 R D 9675 1524 M +79 0 R D 9675 1676 M 79 0 R D 9675 1829 M 79 0 R D 9675 1981 M 79 0 R D +9675 2133 M 79 0 R D 9675 2286 M 79 0 R D 9675 2438 M 79 0 R D 9675 2591 M +79 0 R D 9675 2743 M 79 0 R D 9675 3048 M 79 0 R D 9675 3200 M 79 0 R D +9675 3353 M 79 0 R D 9675 3505 M 79 0 R D 9675 3657 M 79 0 R D 9675 3810 M +79 0 R D 9675 3962 M 79 0 R D 9675 4115 M 79 0 R D 9675 4267 M 79 0 R D +9675 4572 M 79 0 R D 9675 4724 M 79 0 R D 9675 4877 M 79 0 R D 9675 5029 M +79 0 R D 9675 5182 M 79 0 R D 9675 5334 M 79 0 R D 9675 5486 M 79 0 R D +9675 5639 M 79 0 R D 9675 5791 M 79 0 R D 9675 6096 M 79 0 R D 9675 6248 M +79 0 R D 9675 6401 M 79 0 R D 9675 6553 M 79 0 R D 9675 6706 M 79 0 R D +gsave 9108 3886 translate 0 0 M 90 rotate 1.01 dup scale -58.8433 0 N +( ) show grestore 17556 1067 M 0 5639 R D 17556 1371 M -158 0 R D +17556 2895 M -158 0 R D 17556 4420 M -158 0 R D 17556 5944 M -158 0 R D +17556 1067 M -79 0 R D 17556 1219 M -79 0 R D 17556 1524 M -79 0 R D +17556 1676 M -79 0 R D 17556 1829 M -79 0 R D 17556 1981 M -79 0 R D +17556 2133 M -79 0 R D 17556 2286 M -79 0 R D 17556 2438 M -79 0 R D +17556 2591 M -79 0 R D 17556 2743 M -79 0 R D 17556 3048 M -79 0 R D +17556 3200 M -79 0 R D 17556 3353 M -79 0 R D 17556 3505 M -79 0 R D +17556 3657 M -79 0 R D 17556 3810 M -79 0 R D 17556 3962 M -79 0 R D +17556 4115 M -79 0 R D 17556 4267 M -79 0 R D 17556 4572 M -79 0 R D +17556 4724 M -79 0 R D 17556 4877 M -79 0 R D 17556 5029 M -79 0 R D +17556 5182 M -79 0 R D 17556 5334 M -79 0 R D 17556 5486 M -79 0 R D +17556 5639 M -79 0 R D 17556 5791 M -79 0 R D 17556 6096 M -79 0 R D +17556 6248 M -79 0 R D 17556 6401 M -79 0 R D 17556 6553 M -79 0 R D +17556 6706 M -79 0 R D 20 setlinewidth 12601 1539 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 13061 1742 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 13438 2060 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +14036 2583 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 14180 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111 111 R D +14287 3645 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 14423 3384 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 14399 3448 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 14282 3562 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 14154 3530 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 14310 3632 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +15019 4136 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 15289 4257 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 15817 3923 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 15868 4032 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 15648 3764 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 15729 3714 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +15700 3609 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 15972 3871 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 16728 4301 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 16903 4299 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 16819 3621 M 111 -111 R -111 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Helvetica +423.333 /Helvetica STDFONT +(\( L) show CP X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(bol) show M X 192.937 M +(qso ) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( / L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(peak) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( \)) show grestore +%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%EOF diff --git a/feedback/papers/0506398/f15.ps b/feedback/papers/0506398/f15.ps new file mode 100644 index 0000000..3a4e61e --- /dev/null +++ b/feedback/papers/0506398/f15.ps @@ -0,0 +1,1065 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 558 720 +%%Title: Graphics produced by IDL +%%For: phopkins@dhcp152-235.cfa.harvard.edu, +%% /Users/phopkins/Documents/lars_galaxies/plots/LF_massive +%%Creator: IDL Student Edition 6.0.3, Mac OS X (darwin ppc m32) +%%CreationDate: Mon Aug 29 03:59:17 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2003 Research Systems, Inc. All Rights Reserved. +%v 4 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef end 2.5 setmiterlimit +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 558 720 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 2242 6706 M 4955 0 R D +3247 6706 M 0 105 R D gsave 3247 6172 translate 0 0 M 1.01 dup scale +-58.8433 0 N +( ) show grestore 4586 6706 M 0 105 R D gsave 4586 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 5925 6706 M 0 105 R D gsave 5925 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 2242 6706 M 0 52 R D 2577 6706 M 0 52 R D 2912 6706 M +0 52 R D 3581 6706 M 0 52 R D 3916 6706 M 0 52 R D 4251 6706 M 0 52 R D +4921 6706 M 0 52 R D 5255 6706 M 0 52 R D 5590 6706 M 0 52 R D 6260 6706 M +0 52 R D 6595 6706 M 0 52 R D 6929 6706 M 0 52 R D 2242 11989 M 4955 0 R D +3247 11989 M 0 -106 R D 4586 11989 M 0 -106 R D 5925 11989 M 0 -106 R D +2242 11989 M 0 -53 R D 2577 11989 M 0 -53 R D 2912 11989 M 0 -53 R D +3581 11989 M 0 -53 R D 3916 11989 M 0 -53 R D 4251 11989 M 0 -53 R D +4921 11989 M 0 -53 R D 5255 11989 M 0 -53 R D 5590 11989 M 0 -53 R D +6260 11989 M 0 -53 R D 6595 11989 M 0 -53 R D 6929 11989 M 0 -53 R D +2242 6706 M 0 5283 R D 2242 7201 M 99 0 R D gsave 2130 7059 translate 0 0 M +1.01 dup scale -729.403 0 N +(-7.5) show grestore 2242 8026 M 99 0 R D gsave 2130 7884 translate 0 0 M +1.01 dup scale -729.403 0 N +(-7.0) show grestore 2242 8852 M 99 0 R D gsave 2130 8710 translate 0 0 M +1.01 dup scale -729.403 0 N +(-6.5) show grestore 2242 9678 M 99 0 R D gsave 2130 9535 translate 0 0 M +1.01 dup scale -729.403 0 N +(-6.0) show grestore 2242 10503 M 99 0 R D gsave 2130 10361 translate 0 0 M +1.01 dup scale -729.403 0 N +(-5.5) show grestore 2242 11329 M 99 0 R D gsave 2130 11186 translate 0 0 M +1.01 dup scale -729.403 0 N +(-5.0) show grestore 2242 6706 M 50 0 R D 2242 6871 M 50 0 R D 2242 7036 M +50 0 R D 2242 7366 M 50 0 R D 2242 7531 M 50 0 R D 2242 7696 M 50 0 R D +2242 7861 M 50 0 R D 2242 8192 M 50 0 R D 2242 8357 M 50 0 R D 2242 8522 M +50 0 R D 2242 8687 M 50 0 R D 2242 9017 M 50 0 R D 2242 9182 M 50 0 R D +2242 9347 M 50 0 R D 2242 9512 M 50 0 R D 2242 9843 M 50 0 R D 2242 10008 M +50 0 R D 2242 10173 M 50 0 R D 2242 10338 M 50 0 R D 2242 10668 M 50 0 R D +2242 10833 M 50 0 R D 2242 10998 M 50 0 R D 2242 11163 M 50 0 R D +2242 11494 M 50 0 R D 2242 11659 M 50 0 R D 2242 11824 M 50 0 R D +2242 11989 M 50 0 R D 7197 6706 M 0 5283 R D 7197 7201 M -99 0 R D +7197 8026 M -99 0 R D 7197 8852 M -99 0 R D 7197 9678 M -99 0 R D +7197 10503 M -99 0 R D 7197 11329 M -99 0 R D 7197 6706 M -49 0 R D +7197 6871 M -49 0 R D 7197 7036 M -49 0 R D 7197 7366 M -49 0 R D +7197 7531 M -49 0 R D 7197 7696 M -49 0 R D 7197 7861 M -49 0 R D +7197 8192 M -49 0 R D 7197 8357 M -49 0 R D 7197 8522 M -49 0 R D +7197 8687 M -49 0 R D 7197 9017 M -49 0 R D 7197 9182 M -49 0 R D +7197 9347 M -49 0 R D 7197 9512 M -49 0 R D 7197 9843 M -49 0 R D +7197 10008 M -49 0 R D 7197 10173 M -49 0 R D 7197 10338 M -49 0 R D +7197 10668 M -49 0 R D 7197 10833 M -49 0 R D 7197 10998 M -49 0 R D +7197 11163 M -49 0 R D 7197 11494 M -49 0 R D 7197 11659 M -49 0 R D +7197 11824 M -49 0 R D 7197 11989 M -49 0 R D 3889 9590 M 0 222 R 222 0 R +0 -222 R -222 0 R F +3722 9587 M 0 222 R 222 0 R 0 -222 R -222 0 R F +3554 9396 M 0 222 R 222 0 R 0 -222 R -222 0 R F +3387 9865 M 0 222 R 222 0 R 0 -222 R -222 0 R F +3219 10152 M 0 222 R 222 0 R 0 -222 R -222 0 R F +3052 10049 M 0 222 R 222 0 R 0 -222 R -222 0 R F +2885 10237 M 0 222 R 222 0 R 0 -222 R -222 0 R F +2717 10130 M 0 222 R 222 0 R 0 -222 R -222 0 R F +2550 10106 M 0 222 R 222 0 R 0 -222 R -222 0 R F +10 setlinewidth 4726 8352 M 0 222 R 222 0 R 0 -222 R -222 0 R D 4559 8527 M +0 222 R 222 0 R 0 -222 R -222 0 R D 4391 8728 M 0 222 R 222 0 R 0 -222 R +-222 0 R D 4224 8858 M 0 222 R 222 0 R 0 -222 R -222 0 R D 4056 9057 M +0 222 R 222 0 R 0 -222 R -222 0 R D 20 setlinewidth 4837 6705 M 0 2255 R +-25 0 R 50 0 R D 4645 8015 M 49 0 R -24 0 R 0 952 R -25 0 R 49 0 R D +4477 8414 M 50 0 R -25 0 R 0 690 R -25 0 R 50 0 R D 4310 8627 M 50 0 R +-25 0 R 0 572 R -25 0 R 50 0 R D 4143 8893 M 49 0 R -25 0 R 0 473 R -24 0 R +49 0 R D 3975 9517 M 50 0 R -25 0 R 0 330 R -25 0 R 50 0 R D 3808 9514 M +49 0 R -24 0 R 0 330 R -25 0 R 49 0 R D 3640 9280 M 50 0 R -25 0 R 0 399 R +-25 0 R 50 0 R D 3473 9809 M 50 0 R -25 0 R 0 302 R -25 0 R 50 0 R D +3306 10122 M 49 0 R -25 0 R 0 259 R -24 0 R 49 0 R D 3138 10009 M 50 0 R +-25 0 R 0 276 R -25 0 R 50 0 R D 2971 10217 M 49 0 R -24 0 R 0 242 R -25 0 R +49 0 R D 2803 10098 M 50 0 R -25 0 R 0 262 R -25 0 R 50 0 R D 2636 10069 M +50 0 R -25 0 R 0 271 R -25 0 R 50 0 R D 0.082 1.000 0.000 setrgbcolor +2510 10305 M -1 13 R -3 13 R -4 12 R -6 12 R -7 11 R -9 10 R -9 8 R -11 7 R +-12 6 R -12 4 R -13 3 R -13 1 R -13 -1 R -13 -3 R -13 -4 R -11 -6 R -11 -7 R +-10 -8 R -9 -10 R -7 -11 R -6 -12 R -4 -12 R -2 -13 R -1 -13 R 1 -13 R +2 -13 R 4 -12 R 6 -12 R 7 -11 R 9 -10 R 10 -8 R 11 -8 R 11 -5 R 13 -5 R +13 -2 R 13 -1 R 13 1 R 13 2 R 12 5 R 12 5 R 11 8 R 9 8 R 9 10 R 7 11 R +6 12 R 4 12 R 3 13 R 1 13 R F +2844 10255 M 0 13 R -3 13 R -4 13 R -6 11 R -7 11 R -9 10 R -10 9 R -11 7 R +-11 6 R -13 4 R -12 2 R -14 1 R -13 -1 R -12 -2 R -13 -4 R -11 -6 R -11 -7 R +-10 -9 R -9 -10 R -7 -11 R -6 -11 R -4 -13 R -3 -13 R 0 -13 R 0 -13 R +3 -12 R 4 -13 R 6 -12 R 7 -10 R 9 -10 R 10 -9 R 11 -7 R 11 -6 R 13 -4 R +12 -3 R 13 -1 R 14 1 R 12 3 R 13 4 R 11 6 R 11 7 R 10 9 R 9 10 R 7 10 R +6 12 R 4 13 R 3 12 R 0 13 R F +3179 10222 M -1 13 R -2 13 R -4 13 R -6 11 R -7 11 R -9 10 R -10 9 R -11 7 R +-11 6 R -13 4 R -13 2 R -13 1 R -13 -1 R -13 -2 R -12 -4 R -12 -6 R -11 -7 R +-9 -9 R -9 -10 R -7 -11 R -6 -11 R -4 -13 R -3 -13 R -1 -13 R 1 -13 R +3 -12 R 4 -13 R 6 -12 R 7 -10 R 9 -10 R 9 -9 R 11 -7 R 12 -6 R 12 -4 R +13 -3 R 13 -1 R 13 1 R 13 3 R 13 4 R 11 6 R 11 7 R 10 9 R 9 10 R 7 10 R +6 12 R 4 13 R 2 12 R 1 13 R F +3514 10123 M -1 13 R -2 13 R -5 13 R -5 11 R -8 11 R -8 10 R -10 9 R -11 7 R +-12 6 R -12 4 R -13 2 R -13 1 R -13 -1 R -13 -2 R -12 -4 R -12 -6 R -11 -7 R +-10 -9 R -8 -10 R -7 -11 R -6 -11 R -4 -13 R -3 -13 R -1 -13 R 1 -13 R +3 -13 R 4 -12 R 6 -12 R 7 -11 R 8 -9 R 10 -9 R 11 -7 R 12 -6 R 12 -4 R +13 -3 R 13 -1 R 13 1 R 13 3 R 12 4 R 12 6 R 11 7 R 10 9 R 8 9 R 8 11 R +5 12 R 5 12 R 2 13 R 1 13 R F +3849 9810 M -1 13 R -3 12 R -4 13 R -6 12 R -7 10 R -8 10 R -10 9 R -11 7 R +-12 6 R -12 4 R -13 3 R -13 1 R -13 -1 R -13 -3 R -12 -4 R -12 -6 R -11 -7 R +-10 -9 R -8 -10 R -8 -10 R -5 -12 R -5 -13 R -2 -12 R -1 -13 R 1 -13 R +2 -13 R 5 -13 R 5 -11 R 8 -11 R 8 -10 R 10 -9 R 11 -7 R 12 -6 R 12 -4 R +13 -2 R 13 -1 R 13 1 R 13 2 R 12 4 R 12 6 R 11 7 R 10 9 R 8 10 R 7 11 R +6 11 R 4 13 R 3 13 R 1 13 R F +4184 9611 M -1 14 R -3 12 R -4 13 R -6 11 R -7 11 R -9 10 R -9 9 R -11 7 R +-12 6 R -12 4 R -13 3 R -13 0 R -13 0 R -13 -3 R -13 -4 R -11 -6 R -11 -7 R +-10 -9 R -9 -10 R -7 -11 R -6 -11 R -4 -13 R -2 -12 R -1 -14 R 1 -13 R +2 -12 R 4 -13 R 6 -11 R 7 -11 R 9 -10 R 10 -9 R 11 -7 R 11 -6 R 13 -4 R +13 -3 R 13 0 R 13 0 R 13 3 R 12 4 R 12 6 R 11 7 R 9 9 R 9 10 R 7 11 R 6 11 R +4 13 R 3 12 R 1 13 R F +4518 9215 M 0 13 R -3 13 R -4 12 R -6 12 R -7 11 R -9 10 R -10 8 R -11 8 R +-11 6 R -13 4 R -12 2 R -14 1 R -13 -1 R -12 -2 R -13 -4 R -11 -6 R -11 -8 R +-10 -8 R -9 -10 R -7 -11 R -6 -12 R -4 -12 R -3 -13 R 0 -13 R 0 -13 R +3 -13 R 4 -12 R 6 -12 R 7 -11 R 9 -9 R 10 -9 R 11 -7 R 11 -6 R 13 -4 R +12 -3 R 13 -1 R 14 1 R 12 3 R 13 4 R 11 6 R 11 7 R 10 9 R 9 9 R 7 11 R +6 12 R 4 12 R 3 13 R 0 13 R F +4853 8753 M -1 13 R -2 13 R -4 12 R -6 12 R -7 11 R -9 10 R -10 8 R -11 7 R +-11 6 R -13 4 R -13 3 R -13 1 R -13 -1 R -13 -3 R -12 -4 R -12 -6 R -11 -7 R +-9 -8 R -9 -10 R -7 -11 R -6 -12 R -4 -12 R -3 -13 R -1 -13 R 1 -13 R +3 -13 R 4 -12 R 6 -12 R 7 -11 R 9 -10 R 9 -8 R 11 -8 R 12 -5 R 12 -5 R +13 -2 R 13 -1 R 13 1 R 13 2 R 13 5 R 11 5 R 11 8 R 10 8 R 9 10 R 7 11 R +6 12 R 4 12 R 2 13 R 1 13 R F +5188 8026 M -1 13 R -2 13 R -5 13 R -5 11 R -8 11 R -8 10 R -10 9 R -11 7 R +-12 6 R -12 4 R -13 2 R -13 1 R -13 -1 R -13 -2 R -12 -4 R -12 -6 R -11 -7 R +-10 -9 R -8 -10 R -7 -11 R -6 -11 R -4 -13 R -3 -13 R -1 -13 R 1 -13 R +3 -12 R 4 -13 R 6 -12 R 7 -10 R 8 -10 R 10 -9 R 11 -7 R 12 -6 R 12 -4 R +13 -3 R 13 0 R 13 0 R 13 3 R 12 4 R 12 6 R 11 7 R 10 9 R 8 10 R 8 10 R +5 12 R 5 13 R 2 12 R 1 13 R F +5523 7135 M -1 13 R -3 13 R -4 12 R -6 12 R -7 11 R -8 10 R -10 8 R -11 7 R +-12 6 R -12 4 R -13 3 R -13 1 R -13 -1 R -13 -3 R -12 -4 R -12 -6 R -11 -7 R +-10 -8 R -8 -10 R -8 -11 R -5 -12 R -5 -12 R -2 -13 R -1 -13 R 1 -13 R +2 -13 R 5 -12 R 5 -12 R 8 -11 R 8 -10 R 10 -8 R 11 -8 R 12 -5 R 12 -5 R +13 -2 R 13 -1 R 13 1 R 13 2 R 12 5 R 12 5 R 11 8 R 10 8 R 8 10 R 7 11 R +6 12 R 4 12 R 3 13 R 1 13 R F +5858 7234 M -1 13 R -3 13 R -4 12 R -6 12 R -7 11 R -9 10 R -9 8 R -11 7 R +-12 6 R -12 4 R -13 3 R -13 1 R -13 -1 R -13 -3 R -13 -4 R -11 -6 R -11 -7 R +-10 -8 R -9 -10 R -7 -11 R -6 -12 R -4 -12 R -2 -13 R -1 -13 R 1 -13 R +2 -13 R 4 -12 R 6 -12 R 7 -11 R 9 -10 R 10 -8 R 11 -8 R 11 -5 R 13 -5 R +13 -2 R 13 -1 R 13 1 R 13 2 R 12 5 R 12 5 R 11 8 R 9 8 R 9 10 R 7 11 R +6 12 R 4 12 R 3 13 R 1 13 R F +2385 10156 M 49 0 R -24 0 R 0 265 R -25 0 R 49 0 R D 2720 10189 M 49 0 R +-25 0 R 0 116 R -24 0 R 49 0 R D 3055 10189 M 49 0 R -25 0 R 0 66 R -24 0 R +49 0 R D 3389 10090 M 50 0 R -25 0 R 0 66 R -25 0 R 50 0 R D 3724 9777 M +50 0 R -25 0 R 0 66 R -25 0 R 50 0 R D 4059 9562 M 49 0 R -24 0 R 0 99 R +-25 0 R 49 0 R D 4394 9149 M 49 0 R -25 0 R 0 132 R -24 0 R 49 0 R D +4729 8654 M 49 0 R -25 0 R 0 181 R -24 0 R 49 0 R D 5063 7828 M 50 0 R +-25 0 R 0 380 R -25 0 R 50 0 R D 5398 6739 M 50 0 R -25 0 R 0 759 R -25 0 R +50 0 R D 5733 6838 M 49 0 R -24 0 R 0 759 R -25 0 R 49 0 R D 6092 6705 M +0 562 R -24 0 R 49 0 R D 0.000 0.000 0.000 setrgbcolor 2242 10227 M 10 4 R +92 -53 R 93 -56 R 92 -58 R 92 -60 R 92 4 R 92 -65 R 91 -68 R 92 -69 R +91 -72 R 91 -20 R 90 -77 R 91 -79 R 90 -81 R 91 -40 R 90 -86 R 90 -88 R +90 -90 R 89 -92 R 90 -61 R 89 -97 R 90 -99 R 89 -101 R 89 -103 R 88 -81 R +89 -107 R 89 -110 R 88 -112 R 88 -95 R 89 -117 R 88 -118 R 88 -120 R +88 -122 R 87 -112 R 88 -126 R 88 -129 R 87 -130 R 87 -124 R 88 -135 R +87 -137 R 25 -40 R D 2242 10628 M 10 8 R 92 -28 R 93 -30 R 92 -32 R 92 -34 R +92 46 R 92 -40 R 91 -41 R 92 -44 R 91 -46 R 91 20 R 90 -51 R 91 -53 R +90 -55 R 91 -2 R 90 -60 R 90 -63 R 90 -65 R 89 -66 R 90 -25 R 89 -71 R +90 -74 R 89 -76 R 89 -78 R 88 -45 R 89 -83 R 89 -85 R 88 -87 R 88 -62 R +89 -91 R 88 -94 R 88 -95 R 88 -98 R 87 -80 R 88 -102 R 88 -104 R 87 -106 R +87 -93 R 88 -111 R 87 -112 R 87 -115 R 87 -116 R 87 -109 R 87 -120 R +86 -123 R 87 -125 R 87 -126 R 86 -122 R 87 -131 R 86 -133 R 87 -134 R +86 -132 R 17 -29 R D L1 2242 11291 M 10 -4 R 92 -41 R 93 -19 R 92 -46 R +92 -48 R 92 -50 R 92 -33 R 91 -54 R 92 -57 R 91 -58 R 91 -60 R 90 -48 R +91 -65 R 90 -66 R 91 -68 R 90 -70 R 90 -62 R 90 -74 R 89 -76 R 90 -78 R +89 -72 R 90 -82 R 89 -84 R 89 -85 R 88 -87 R 89 -85 R 89 -91 R 88 -93 R +88 -95 R 89 -94 R 88 -99 R 88 -100 R 88 -102 R 87 -105 R 88 -104 R 88 -108 R +87 -110 R 87 -111 R 88 -114 R 87 -114 R 87 -117 R 87 -119 R 87 -121 R +87 -122 R 86 -125 R 87 -127 R 87 -128 R 86 -130 R 87 -132 R 86 -134 R +87 -136 R 86 -138 R 27 -45 R D 2242 9503 M 10 -1 R 92 -15 R 93 174 R +92 -21 R 92 -24 R 92 -25 R 92 -28 R 91 135 R 92 -33 R 91 -36 R 91 -38 R +90 103 R 91 -44 R 90 -46 R 91 -47 R 90 -51 R 90 69 R 90 -56 R 89 -58 R +90 -60 R 89 40 R 90 -65 R 89 -68 R 89 -70 R 88 -72 R 89 10 R 89 -77 R +88 -80 R 88 -82 R 89 -83 R 88 -18 R 88 -89 R 88 -91 R 87 -94 R 88 -40 R +88 -98 R 87 -101 R 87 -103 R 88 -104 R 87 -64 R 87 -110 R 87 -112 R +87 -114 R 87 -116 R 86 -85 R 87 -121 R 87 -123 R 86 -125 R 87 -102 R +86 -129 R 87 -132 R 50 -78 R D gsave 2577 7036 translate 0 0 M 1.1 dup scale +(z = 0.28 - 0.8) show grestore 15 setlinewidth L0 7197 6706 M 4955 0 R D +8202 6706 M 0 105 R D gsave 8202 6172 translate 0 0 M 1.01 dup scale +-58.8433 0 N +( ) show grestore 9541 6706 M 0 105 R D gsave 9541 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 10880 6706 M 0 105 R D gsave 10880 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 7197 6706 M 0 52 R D 7532 6706 M 0 52 R D 7867 6706 M +0 52 R D 8537 6706 M 0 52 R D 8871 6706 M 0 52 R D 9206 6706 M 0 52 R D +9876 6706 M 0 52 R D 10211 6706 M 0 52 R D 10545 6706 M 0 52 R D +11215 6706 M 0 52 R D 11550 6706 M 0 52 R D 11885 6706 M 0 52 R D +7197 11989 M 4955 0 R D 8202 11989 M 0 -106 R D 9541 11989 M 0 -106 R D +10880 11989 M 0 -106 R D 7197 11989 M 0 -53 R D 7532 11989 M 0 -53 R D +7867 11989 M 0 -53 R D 8537 11989 M 0 -53 R D 8871 11989 M 0 -53 R D +9206 11989 M 0 -53 R D 9876 11989 M 0 -53 R D 10211 11989 M 0 -53 R D +10545 11989 M 0 -53 R D 11215 11989 M 0 -53 R D 11550 11989 M 0 -53 R D +11885 11989 M 0 -53 R D 7197 6706 M 0 5283 R D 7197 7201 M 99 0 R D +gsave 7085 7059 translate 0 0 M 1.01 dup scale -117.687 0 N +( ) show grestore 7197 8026 M 99 0 R D gsave 7085 7884 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 8852 M 99 0 R D gsave 7085 8710 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 9678 M 99 0 R D gsave 7085 9535 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 10503 M 99 0 R D gsave 7085 10361 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 11329 M 99 0 R D gsave 7085 11186 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 6706 M 50 0 R D 7197 6871 M 50 0 R D 7197 7036 M +50 0 R D 7197 7366 M 50 0 R D 7197 7531 M 50 0 R D 7197 7696 M 50 0 R D +7197 7861 M 50 0 R D 7197 8192 M 50 0 R D 7197 8357 M 50 0 R D 7197 8522 M +50 0 R D 7197 8687 M 50 0 R D 7197 9017 M 50 0 R D 7197 9182 M 50 0 R D +7197 9347 M 50 0 R D 7197 9512 M 50 0 R D 7197 9843 M 50 0 R D 7197 10008 M +50 0 R D 7197 10173 M 50 0 R D 7197 10338 M 50 0 R D 7197 10668 M 50 0 R D +7197 10833 M 50 0 R D 7197 10998 M 50 0 R D 7197 11163 M 50 0 R D +7197 11494 M 50 0 R D 7197 11659 M 50 0 R D 7197 11824 M 50 0 R D +7197 11989 M 50 0 R D 12152 6706 M 0 5283 R D 12152 7201 M -99 0 R D +12152 8026 M -99 0 R D 12152 8852 M -99 0 R D 12152 9678 M -99 0 R D +12152 10503 M -99 0 R D 12152 11329 M -99 0 R D 12152 6706 M -49 0 R D +12152 6871 M -49 0 R D 12152 7036 M -49 0 R D 12152 7366 M -49 0 R D +12152 7531 M -49 0 R D 12152 7696 M -49 0 R D 12152 7861 M -49 0 R D +12152 8192 M -49 0 R D 12152 8357 M -49 0 R D 12152 8522 M -49 0 R D +12152 8687 M -49 0 R D 12152 9017 M -49 0 R D 12152 9182 M -49 0 R D +12152 9347 M -49 0 R D 12152 9512 M -49 0 R D 12152 9843 M -49 0 R D +12152 10008 M -49 0 R D 12152 10173 M -49 0 R D 12152 10338 M -49 0 R D +12152 10668 M -49 0 R D 12152 10833 M -49 0 R D 12152 10998 M -49 0 R D +12152 11163 M -49 0 R D 12152 11494 M -49 0 R D 12152 11659 M -49 0 R D +12152 11824 M -49 0 R D 12152 11989 M -49 0 R D 9681 8954 M 0 222 R 222 0 R +0 -222 R -222 0 R F +9514 9438 M 0 222 R 222 0 R 0 -222 R -222 0 R F +9346 9359 M 0 222 R 222 0 R 0 -222 R -222 0 R F +9179 9573 M 0 222 R 222 0 R 0 -222 R -222 0 R F +9011 9844 M 0 222 R 222 0 R 0 -222 R -222 0 R F +8844 10107 M 0 222 R 222 0 R 0 -222 R -222 0 R F +8677 10066 M 0 222 R 222 0 R 0 -222 R -222 0 R F +8509 10190 M 0 222 R 222 0 R 0 -222 R -222 0 R F +8342 10330 M 0 222 R 222 0 R 0 -222 R -222 0 R F +8174 10448 M 0 222 R 222 0 R 0 -222 R -222 0 R F +10 setlinewidth 10351 7916 M 0 222 R 222 0 R 0 -222 R -222 0 R D +10183 8147 M 0 222 R 222 0 R 0 -222 R -222 0 R D 10016 8654 M 0 222 R +222 0 R 0 -222 R -222 0 R D 9848 8950 M 0 222 R 222 0 R 0 -222 R -222 0 R D +8007 10321 M 0 222 R 222 0 R 0 -222 R -222 0 R D 7840 10440 M 0 222 R +222 0 R 0 -222 R -222 0 R D 7672 10352 M 0 222 R 222 0 R 0 -222 R -222 0 R D +7505 10592 M 0 222 R 222 0 R 0 -222 R -222 0 R D 20 setlinewidth +10462 6705 M 0 1819 R -25 0 R 49 0 R D 10269 7642 M 50 0 R -25 0 R 0 943 R +-25 0 R 50 0 R D 10102 8474 M 50 0 R -25 0 R 0 497 R -25 0 R 50 0 R D +9935 8862 M 49 0 R -25 0 R 0 355 R -24 0 R 49 0 R D 9767 8866 M 50 0 R +-25 0 R 0 355 R -25 0 R 50 0 R D 9600 9409 M 49 0 R -24 0 R 0 257 R -25 0 R +49 0 R D 9432 9309 M 50 0 R -25 0 R 0 292 R -25 0 R 50 0 R D 9265 9544 M +50 0 R -25 0 R 0 257 R -25 0 R 50 0 R D 9098 9834 M 49 0 R -25 0 R 0 225 R +-24 0 R 49 0 R D 8930 10114 M 50 0 R -25 0 R 0 195 R -25 0 R 50 0 R D +8763 10069 M 49 0 R -24 0 R 0 201 R -25 0 R 49 0 R D 8595 10203 M 50 0 R +-25 0 R 0 184 R -25 0 R 50 0 R D 8428 10353 M 50 0 R -25 0 R 0 167 R -25 0 R +50 0 R D 8261 10476 M 49 0 R -25 0 R 0 157 R -24 0 R 49 0 R D 8093 10335 M +50 0 R -25 0 R 0 183 R -25 0 R 50 0 R D 7926 10442 M 49 0 R -24 0 R 0 204 R +-25 0 R 49 0 R D 7758 10302 M 50 0 R -25 0 R 0 292 R -25 0 R 50 0 R D +7591 10470 M 50 0 R -25 0 R 0 408 R -25 0 R 50 0 R D +0.082 1.000 0.000 setrgbcolor 8134 10569 M -1 13 R -2 13 R -4 12 R -6 12 R +-7 11 R -9 10 R -10 8 R -11 8 R -11 5 R -13 5 R -13 2 R -13 1 R -13 -1 R +-13 -2 R -12 -5 R -12 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R 12 6 R 11 7 R 10 9 R 8 9 R 7 11 R +6 12 R 4 12 R 3 13 R 1 13 R F +9139 9958 M -1 13 R -3 13 R -4 12 R -6 12 R -7 11 R -9 10 R -9 8 R -11 8 R +-12 5 R -12 5 R -13 2 R -13 1 R -13 -1 R -13 -2 R -12 -5 R -12 -5 R -11 -8 R +-10 -8 R -9 -10 R -7 -11 R -6 -12 R -4 -12 R -2 -13 R -1 -13 R 1 -13 R +2 -13 R 4 -12 R 6 -12 R 7 -11 R 9 -9 R 10 -9 R 11 -7 R 12 -6 R 12 -4 R +13 -3 R 13 -1 R 13 1 R 13 3 R 12 4 R 12 6 R 11 7 R 9 9 R 9 9 R 7 11 R 6 12 R +4 12 R 3 13 R 1 13 R F +9473 9694 M 0 13 R -3 13 R -4 12 R -6 12 R -7 11 R -9 10 R -10 8 R -11 8 R +-11 5 R -13 5 R -12 2 R -13 1 R -13 -1 R -13 -2 R -13 -5 R -11 -5 R -11 -8 R +-10 -8 R -9 -10 R -7 -11 R -6 -12 R -4 -12 R -3 -13 R 0 -13 R 0 -13 R +3 -13 R 4 -12 R 6 -12 R 7 -11 R 9 -10 R 10 -8 R 11 -7 R 11 -6 R 13 -4 R +13 -3 R 13 -1 R 13 1 R 12 3 R 13 4 R 11 6 R 11 7 R 10 8 R 9 10 R 7 11 R +6 12 R 4 12 R 3 13 R 0 13 R F +9808 9380 M -1 13 R -2 13 R -4 13 R -6 11 R -7 11 R -9 10 R -10 9 R -11 7 R +-11 6 R -13 4 R -13 2 R -13 1 R -13 -1 R -13 -2 R -12 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13 2 R 12 4 R 12 6 R 11 7 R 10 9 R 8 10 R 7 11 R +6 11 R 4 13 R 3 13 R 1 13 R F +10813 7663 M -1 13 R -3 13 R -4 12 R -6 12 R -7 11 R -9 10 R -9 8 R -11 8 R +-12 6 R -12 4 R -13 2 R -13 1 R -13 -1 R -13 -2 R -12 -4 R -12 -6 R -11 -8 R +-10 -8 R -9 -10 R -7 -11 R -6 -12 R -4 -12 R -2 -13 R -1 -13 R 1 -13 R +2 -13 R 4 -12 R 6 -12 R 7 -11 R 9 -9 R 10 -9 R 11 -7 R 12 -6 R 12 -4 R +13 -3 R 13 -1 R 13 1 R 13 3 R 12 4 R 12 6 R 11 7 R 9 9 R 9 9 R 7 11 R 6 12 R +4 12 R 3 13 R 1 13 R F +8010 9826 M 49 0 R -25 0 R 0 1337 R -24 0 R 49 0 R D 8344 10123 M 50 0 R +-25 0 R 0 99 R -25 0 R 50 0 R D 8679 9991 M 50 0 R -25 0 R 0 66 R -25 0 R +50 0 R D 9014 9925 M 50 0 R -25 0 R 0 66 R -25 0 R 50 0 R D 9349 9661 M +49 0 R -24 0 R 0 66 R -25 0 R 49 0 R D 9684 9347 M 49 0 R -25 0 R 0 66 R +-24 0 R 49 0 R D 10018 8786 M 50 0 R -25 0 R 0 116 R -25 0 R 50 0 R D +10353 8258 M 50 0 R -25 0 R 0 181 R -25 0 R 50 0 R D 10688 7465 M 50 0 R +-25 0 R 0 380 R -25 0 R 50 0 R D 11048 6705 M 0 298 R -25 0 R 49 0 R D +11382 6705 M 0 182 R -24 0 R 49 0 R D 0.000 0.000 0.000 setrgbcolor +7197 10538 M 10 7 R 93 -36 R 92 -38 R 92 -40 R 92 -42 R 92 33 R 92 -48 R +91 -49 R 92 -52 R 91 -54 R 91 7 R 90 -59 R 91 -61 R 91 -63 R 90 -14 R +90 -69 R 90 -70 R 90 -73 R 89 -74 R 90 -36 R 89 -80 R 90 -82 R 89 -83 R +89 -86 R 88 -57 R 89 -90 R 89 -93 R 88 -94 R 89 -73 R 88 -99 R 88 -101 R +88 -103 R 88 -106 R 87 -89 R 88 -110 R 88 -112 R 87 -114 R 87 -103 R +88 -118 R 87 -120 R 87 -122 R 87 -124 R 87 -117 R 87 -129 R 86 -130 R +87 -132 R 87 -134 R 86 -130 R 44 -71 R D 7197 10684 M 10 10 R 93 -19 R +92 -22 R 92 -24 R 92 -26 R 92 60 R 92 -32 R 91 -33 R 92 -36 R 91 -38 R +91 33 R 90 -43 R 91 -45 R 91 -47 R 90 10 R 90 -52 R 90 -55 R 90 -56 R +89 -59 R 90 -13 R 89 -63 R 90 -66 R 89 -68 R 89 -70 R 88 -34 R 89 -75 R +89 -77 R 88 -79 R 89 -51 R 88 -84 R 88 -86 R 88 -88 R 88 -90 R 87 -69 R +88 -95 R 88 -96 R 87 -99 R 87 -83 R 88 -103 R 87 -105 R 87 -107 R 87 -109 R +87 -99 R 87 -113 R 86 -116 R 87 -117 R 87 -119 R 86 -113 R 87 -123 R +86 -125 R 87 -127 R 86 -124 R 86 -131 R 86 -134 R 86 -135 R 75 -119 R D L1 +7197 11404 M 10 -3 R 93 -34 R 92 -8 R 92 -38 R 92 -41 R 92 -43 R 92 -22 R +91 -47 R 92 -49 R 91 -51 R 91 -53 R 90 -39 R 91 -57 R 91 -59 R 90 -61 R +90 -62 R 90 -54 R 90 -67 R 89 -68 R 90 -71 R 89 -64 R 90 -75 R 89 -77 R +89 -78 R 88 -80 R 89 -77 R 89 -84 R 88 -86 R 89 -88 R 88 -86 R 88 -91 R +88 -94 R 88 -95 R 87 -97 R 88 -97 R 88 -101 R 87 -102 R 87 -105 R 88 -106 R +87 -107 R 87 -110 R 87 -112 R 87 -114 R 87 -115 R 86 -117 R 87 -120 R +87 -121 R 86 -123 R 87 -125 R 86 -126 R 87 -129 R 86 -131 R 86 -132 R +86 -134 R 86 -137 R 85 -136 R D 7197 9512 M 10 0 R 93 -7 R 92 189 R 92 -13 R +92 -15 R 92 -17 R 92 -20 R 91 150 R 92 -25 R 91 -27 R 91 -30 R 90 117 R +91 -35 R 91 -38 R 90 -40 R 90 -41 R 90 82 R 90 -47 R 89 -50 R 90 -52 R +89 54 R 90 -58 R 89 -59 R 89 -62 R 88 -64 R 89 24 R 89 -70 R 88 -71 R +89 -74 R 88 -76 R 88 -4 R 88 -81 R 88 -84 R 87 -85 R 88 -28 R 88 -90 R +87 -93 R 87 -94 R 88 -97 R 87 -52 R 87 -102 R 87 -104 R 87 -106 R 87 -108 R +86 -74 R 87 -113 R 87 -115 R 86 -117 R 87 -91 R 86 -122 R 87 -124 R +86 -126 R 86 -128 R 86 -110 R 86 -132 R 33 -52 R D +gsave 7532 7036 translate 0 0 M 1.1 dup scale +(z = 0.6 - 1.06) show grestore 15 setlinewidth L0 12152 6706 M 4955 0 R D +13157 6706 M 0 105 R D gsave 13157 6172 translate 0 0 M 1.01 dup scale +-58.8433 0 N +( ) show grestore 14496 6706 M 0 105 R D gsave 14496 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 15835 6706 M 0 105 R D gsave 15835 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 12152 6706 M 0 52 R D 12487 6706 M 0 52 R D 12822 6706 M +0 52 R D 13492 6706 M 0 52 R D 13826 6706 M 0 52 R D 14161 6706 M 0 52 R D +14831 6706 M 0 52 R D 15166 6706 M 0 52 R D 15500 6706 M 0 52 R D +16170 6706 M 0 52 R D 16505 6706 M 0 52 R D 16840 6706 M 0 52 R D +12152 11989 M 4955 0 R D 13157 11989 M 0 -106 R D 14496 11989 M 0 -106 R D +15835 11989 M 0 -106 R D 12152 11989 M 0 -53 R D 12487 11989 M 0 -53 R D +12822 11989 M 0 -53 R D 13492 11989 M 0 -53 R D 13826 11989 M 0 -53 R D +14161 11989 M 0 -53 R D 14831 11989 M 0 -53 R D 15166 11989 M 0 -53 R D +15500 11989 M 0 -53 R D 16170 11989 M 0 -53 R D 16505 11989 M 0 -53 R D +16840 11989 M 0 -53 R D 12152 6706 M 0 5283 R D 12152 7201 M 99 0 R D +gsave 12040 7059 translate 0 0 M 1.01 dup scale -117.687 0 N +( ) show grestore 12152 8026 M 99 0 R D gsave 12040 7884 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 8852 M 99 0 R D gsave 12040 8710 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 9678 M 99 0 R D gsave 12040 9535 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 10503 M 99 0 R D gsave 12040 10361 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 11329 M 99 0 R D gsave 12040 11186 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 6706 M 50 0 R D 12152 6871 M 50 0 R D 12152 7036 M +50 0 R D 12152 7366 M 50 0 R D 12152 7531 M 50 0 R D 12152 7696 M 50 0 R D +12152 7861 M 50 0 R D 12152 8192 M 50 0 R D 12152 8357 M 50 0 R D +12152 8522 M 50 0 R D 12152 8687 M 50 0 R D 12152 9017 M 50 0 R D +12152 9182 M 50 0 R D 12152 9347 M 50 0 R D 12152 9512 M 50 0 R D +12152 9843 M 50 0 R D 12152 10008 M 50 0 R D 12152 10173 M 50 0 R D +12152 10338 M 50 0 R D 12152 10668 M 50 0 R D 12152 10833 M 50 0 R D +12152 10998 M 50 0 R D 12152 11163 M 50 0 R D 12152 11494 M 50 0 R D +12152 11659 M 50 0 R D 12152 11824 M 50 0 R D 12152 11989 M 50 0 R D +17107 6706 M 0 5283 R D 17107 7201 M -99 0 R D 17107 8026 M -99 0 R D +17107 8852 M -99 0 R D 17107 9678 M -99 0 R D 17107 10503 M -99 0 R D +17107 11329 M -99 0 R D 17107 6706 M -49 0 R D 17107 6871 M -49 0 R D +17107 7036 M -49 0 R D 17107 7366 M -49 0 R D 17107 7531 M -49 0 R D +17107 7696 M -49 0 R D 17107 7861 M -49 0 R D 17107 8192 M -49 0 R D +17107 8357 M -49 0 R D 17107 8522 M -49 0 R D 17107 8687 M -49 0 R D +17107 9017 M -49 0 R D 17107 9182 M -49 0 R D 17107 9347 M -49 0 R D +17107 9512 M -49 0 R D 17107 9843 M -49 0 R D 17107 10008 M -49 0 R D +17107 10173 M -49 0 R D 17107 10338 M -49 0 R D 17107 10668 M -49 0 R D +17107 10833 M -49 0 R D 17107 10998 M -49 0 R D 17107 11163 M -49 0 R D +17107 11494 M -49 0 R D 17107 11659 M -49 0 R D 17107 11824 M -49 0 R D +17107 11989 M -49 0 R D 15306 8744 M 0 222 R 222 0 R 0 -222 R -222 0 R F +15138 8811 M 0 222 R 222 0 R 0 -222 R -222 0 R F +14971 9058 M 0 222 R 222 0 R 0 -222 R -222 0 R F +14803 9503 M 0 222 R 222 0 R 0 -222 R -222 0 R F +14636 9459 M 0 222 R 222 0 R 0 -222 R -222 0 R F +14469 9738 M 0 222 R 222 0 R 0 -222 R -222 0 R F +14301 10002 M 0 222 R 222 0 R 0 -222 R -222 0 R F +14134 10075 M 0 222 R 222 0 R 0 -222 R -222 0 R F +13966 10147 M 0 222 R 222 0 R 0 -222 R -222 0 R F +13799 10330 M 0 222 R 222 0 R 0 -222 R -222 0 R F +13632 10370 M 0 222 R 222 0 R 0 -222 R -222 0 R F +10 setlinewidth 15640 7862 M 0 222 R 222 0 R 0 -222 R -222 0 R D +15473 8556 M 0 222 R 222 0 R 0 -222 R -222 0 R D 13464 10567 M 0 222 R +222 0 R 0 -222 R -222 0 R D 13297 10235 M 0 222 R 222 0 R 0 -222 R -222 0 R +D 13129 10639 M 0 222 R 222 0 R 0 -222 R -222 0 R D 12962 10995 M 0 222 R +222 0 R 0 -222 R -222 0 R D 20 setlinewidth 15727 7355 M 49 0 R -25 0 R +0 946 R -24 0 R 49 0 R D 15559 8423 M 50 0 R -25 0 R 0 426 R -25 0 R 50 0 R +D 15392 8656 M 49 0 R -24 0 R 0 354 R -25 0 R 49 0 R D 15225 8729 M 49 0 R +-25 0 R 0 345 R -24 0 R 49 0 R D 15057 9005 M 50 0 R -25 0 R 0 298 R -25 0 R +50 0 R D 14890 9492 M 49 0 R -25 0 R 0 227 R -24 0 R 49 0 R D 14722 9435 M +50 0 R -25 0 R 0 250 R -25 0 R 50 0 R D 14555 9732 M 49 0 R -24 0 R 0 217 R +-25 0 R 49 0 R D 14388 10011 M 49 0 R -25 0 R 0 192 R -24 0 R 49 0 R D +14220 10090 M 50 0 R -25 0 R 0 180 R -25 0 R 50 0 R D 14053 10170 M 49 0 R +-25 0 R 0 167 R -24 0 R 49 0 R D 13885 10365 M 50 0 R -25 0 R 0 145 R +-25 0 R 50 0 R D 13718 10404 M 49 0 R -24 0 R 0 147 R -25 0 R 49 0 R D +13551 10604 M 49 0 R -25 0 R 0 141 R -24 0 R 49 0 R D 13383 10222 M 50 0 R +-25 0 R 0 230 R -25 0 R 50 0 R D 13216 10602 M 49 0 R -25 0 R 0 270 R +-24 0 R 49 0 R D 13048 10488 M 50 0 R -25 0 R 0 945 R -25 0 R 50 0 R D +0.082 1.000 0.000 setrgbcolor 13759 10206 M -1 13 R -3 13 R -4 12 R -5 12 R +-8 11 R -8 10 R -10 8 R -11 7 R -12 6 R -12 4 R -13 3 R -13 1 R -13 -1 R +-13 -3 R -12 -4 R -12 -6 R -11 -7 R -10 -8 R -8 -10 R -8 -11 R -5 -12 R +-5 -12 R -2 -13 R -1 -13 R 1 -13 R 2 -13 R 5 -12 R 5 -12 R 8 -11 R 8 -10 R +10 -8 R 11 -8 R 12 -5 R 12 -5 R 13 -2 R 13 -1 R 13 1 R 13 2 R 12 5 R 12 5 R +11 8 R 10 8 R 8 10 R 8 11 R 5 12 R 4 12 R 3 13 R 1 13 R F +14094 9991 M -1 13 R -3 13 R -4 12 R -6 12 R -7 11 R -9 10 R -9 8 R -11 8 R +-12 6 R -12 4 R -13 2 R -13 1 R -13 -1 R -13 -2 R -12 -4 R -12 -6 R -11 -8 R +-10 -8 R -8 -10 R -8 -11 R -6 -12 R -4 -12 R -2 -13 R -1 -13 R 1 -13 R +2 -13 R 4 -12 R 6 -12 R 8 -11 R 8 -9 R 10 -9 R 11 -7 R 12 -6 R 12 -4 R +13 -3 R 13 -1 R 13 1 R 13 3 R 12 4 R 12 6 R 11 7 R 9 9 R 9 9 R 7 11 R 6 12 R +4 12 R 3 13 R 1 13 R F +14428 9909 M 0 13 R -3 13 R 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M 0 13 R -3 13 R -4 12 R -6 12 R -7 10 R -9 10 R -10 9 R -10 7 R +-12 6 R -13 4 R -12 3 R -13 1 R -13 -1 R -13 -3 R -13 -4 R -11 -6 R -11 -7 R +-10 -9 R -9 -10 R -7 -10 R -6 -12 R -4 -12 R -2 -13 R -1 -13 R 1 -13 R +2 -13 R 4 -13 R 6 -11 R 7 -11 R 9 -10 R 10 -9 R 11 -7 R 11 -6 R 13 -4 R +13 -2 R 13 -1 R 13 1 R 12 2 R 13 4 R 12 6 R 10 7 R 10 9 R 9 10 R 7 11 R +6 11 R 4 13 R 3 13 R 0 13 R F +16437 7052 M -1 13 R -2 13 R -4 13 R -6 11 R -7 11 R -9 10 R -10 9 R -11 7 R +-11 6 R -13 4 R -13 2 R -13 1 R -13 -1 R -12 -2 R -13 -4 R -12 -6 R -10 -7 R +-10 -9 R -9 -10 R -7 -11 R -6 -11 R -4 -13 R -3 -13 R -1 -13 R 1 -13 R +3 -13 R 4 -12 R 6 -12 R 7 -11 R 9 -9 R 10 -9 R 10 -7 R 12 -6 R 13 -4 R +12 -3 R 13 -1 R 13 1 R 13 3 R 13 4 R 11 6 R 11 7 R 10 9 R 9 9 R 7 11 R +6 12 R 4 12 R 2 13 R 1 13 R F +13634 10008 M 50 0 R -25 0 R 0 379 R -25 0 R 50 0 R D 13969 9958 M 50 0 R +-25 0 R 0 66 R -25 0 R 50 0 R D 14304 9876 M 49 0 R -24 0 R 0 49 R -25 0 R +49 0 R D 14639 9744 M 49 0 R -25 0 R 0 66 R -24 0 R 49 0 R D 14973 9347 M +50 0 R -25 0 R 0 66 R -25 0 R 50 0 R D 15308 8819 M 50 0 R -25 0 R 0 99 R +-25 0 R 50 0 R D 15643 8159 M 50 0 R -25 0 R 0 165 R -25 0 R 50 0 R D +15978 7449 M 49 0 R -24 0 R 0 297 R -25 0 R 49 0 R D 16313 6788 M 49 0 R +-25 0 R 0 512 R -24 0 R 49 0 R D 0.000 0.000 0.000 setrgbcolor 12152 10628 M +10 8 R 93 -28 R 92 -30 R 92 -32 R 92 -34 R 92 46 R 92 -40 R 91 -41 R +92 -44 R 91 -46 R 91 20 R 91 -51 R 90 -53 R 91 -55 R 90 -2 R 90 -60 R +90 -63 R 90 -65 R 89 -66 R 90 -25 R 89 -71 R 90 -74 R 89 -76 R 89 -78 R +89 -45 R 88 -83 R 89 -85 R 88 -87 R 89 -62 R 88 -91 R 88 -94 R 88 -95 R +88 -98 R 87 -80 R 88 -102 R 88 -104 R 87 -106 R 87 -93 R 88 -111 R 87 -112 R +87 -115 R 87 -116 R 87 -109 R 87 -120 R 86 -123 R 87 -125 R 87 -126 R +86 -122 R 87 -131 R 86 -133 R 87 -134 R 86 -132 R 17 -29 R D 12152 10711 M +10 11 R 93 -12 R 92 -13 R 92 -16 R 92 -18 R 92 73 R 92 -23 R 91 -26 R +92 -27 R 91 -30 R 91 46 R 91 -35 R 90 -37 R 91 -40 R 90 24 R 90 -44 R +90 -47 R 90 -49 R 89 -51 R 90 0 R 89 -56 R 90 -58 R 89 -60 R 89 -62 R +89 -22 R 88 -68 R 89 -69 R 88 -71 R 89 -40 R 88 -76 R 88 -78 R 88 -80 R +88 -82 R 87 -59 R 88 -87 R 88 -89 R 87 -91 R 87 -73 R 88 -96 R 87 -97 R +87 -100 R 87 -101 R 87 -89 R 87 -106 R 86 -108 R 87 -109 R 87 -112 R +86 -104 R 87 -116 R 86 -117 R 87 -120 R 86 -115 R 86 -124 R 86 -126 R +87 -128 R 86 -129 R 67 -100 R D L1 12152 11489 M 10 -2 R 93 -27 R 92 3 R +92 -31 R 92 -34 R 92 -35 R 92 -12 R 91 -40 R 92 -41 R 91 -44 R 91 -45 R +91 -29 R 90 -50 R 91 -52 R 90 -53 R 90 -56 R 90 -44 R 90 -60 R 89 -61 R +90 -64 R 89 -55 R 90 -68 R 89 -69 R 89 -72 R 89 -73 R 88 -68 R 89 -77 R +88 -79 R 89 -81 R 88 -78 R 88 -85 R 88 -86 R 88 -88 R 87 -90 R 88 -89 R +88 -94 R 87 -96 R 87 -97 R 88 -100 R 87 -99 R 87 -103 R 87 -105 R 87 -107 R +87 -107 R 86 -111 R 87 -112 R 87 -114 R 86 -116 R 87 -117 R 86 -120 R +87 -121 R 86 -124 R 86 -125 R 86 -127 R 87 -129 R 86 -131 R 67 -103 R D +12152 9488 M 10 1 R 93 1 R 92 205 R 92 -5 R 92 -7 R 92 -9 R 92 -11 R +91 165 R 92 -17 R 91 -19 R 91 -21 R 91 131 R 90 -27 R 91 -29 R 90 -32 R +90 -33 R 90 96 R 90 -39 R 89 -41 R 90 -44 R 89 68 R 90 -50 R 89 -51 R +89 -54 R 89 -55 R 88 37 R 89 -62 R 88 -63 R 89 -65 R 88 -68 R 88 8 R +88 -73 R 88 -75 R 87 -77 R 88 -15 R 88 -83 R 87 -84 R 87 -87 R 88 -89 R +87 -40 R 87 -93 R 87 -96 R 87 -98 R 87 -100 R 86 -63 R 87 -105 R 87 -107 R +86 -109 R 87 -81 R 86 -114 R 87 -116 R 86 -118 R 86 -120 R 86 -100 R +87 -125 R 86 -126 R 67 -101 R D gsave 12487 7036 translate 0 0 M +1.1 dup scale +(z = 0.8 - 1.42) show grestore 15 setlinewidth L0 2242 1422 M 4955 0 R D +3247 1422 M 0 106 R D gsave 3247 889 translate 0 0 M 1.01 dup scale +-305.858 0 N +(-22) show grestore 4586 1422 M 0 106 R D gsave 4586 889 translate 0 0 M +1.01 dup scale -305.858 0 N +(-24) show grestore 5925 1422 M 0 106 R D gsave 5925 889 translate 0 0 M +1.01 dup scale -305.858 0 N +(-26) show grestore 2242 1422 M 0 53 R D 2577 1422 M 0 53 R D 2912 1422 M +0 53 R D 3581 1422 M 0 53 R D 3916 1422 M 0 53 R D 4251 1422 M 0 53 R D +4921 1422 M 0 53 R D 5255 1422 M 0 53 R D 5590 1422 M 0 53 R D 6260 1422 M +0 53 R D 6595 1422 M 0 53 R D 6929 1422 M 0 53 R D 2242 6706 M 4955 0 R D +3247 6706 M 0 -106 R D 4586 6706 M 0 -106 R D 5925 6706 M 0 -106 R D +2242 6706 M 0 -53 R D 2577 6706 M 0 -53 R D 2912 6706 M 0 -53 R D +3581 6706 M 0 -53 R D 3916 6706 M 0 -53 R D 4251 6706 M 0 -53 R D +4921 6706 M 0 -53 R D 5255 6706 M 0 -53 R D 5590 6706 M 0 -53 R D +6260 6706 M 0 -53 R D 6595 6706 M 0 -53 R D 6929 6706 M 0 -53 R D +2242 1422 M 0 5284 R D 2242 1917 M 99 0 R D gsave 2130 1775 translate 0 0 M +1.01 dup scale -729.403 0 N +(-7.5) show grestore 2242 2743 M 99 0 R D gsave 2130 2601 translate 0 0 M +1.01 dup scale -729.403 0 N +(-7.0) show grestore 2242 3569 M 99 0 R D gsave 2130 3426 translate 0 0 M +1.01 dup scale -729.403 0 N +(-6.5) show grestore 2242 4394 M 99 0 R D gsave 2130 4252 translate 0 0 M +1.01 dup scale -729.403 0 N +(-6.0) show grestore 2242 5220 M 99 0 R D gsave 2130 5077 translate 0 0 M +1.01 dup scale -729.403 0 N +(-5.5) show grestore 2242 6045 M 99 0 R D gsave 2130 5903 translate 0 0 M +1.01 dup scale -729.403 0 N +(-5.0) show grestore 2242 1422 M 50 0 R D 2242 1587 M 50 0 R D 2242 1752 M +50 0 R D 2242 2083 M 50 0 R D 2242 2248 M 50 0 R D 2242 2413 M 50 0 R D +2242 2578 M 50 0 R D 2242 2908 M 50 0 R D 2242 3073 M 50 0 R D 2242 3238 M +50 0 R D 2242 3403 M 50 0 R D 2242 3734 M 50 0 R D 2242 3899 M 50 0 R D +2242 4064 M 50 0 R D 2242 4229 M 50 0 R D 2242 4559 M 50 0 R D 2242 4724 M +50 0 R D 2242 4889 M 50 0 R D 2242 5055 M 50 0 R D 2242 5385 M 50 0 R D +2242 5550 M 50 0 R D 2242 5715 M 50 0 R D 2242 5880 M 50 0 R D 2242 6210 M +50 0 R D 2242 6375 M 50 0 R D 2242 6540 M 50 0 R D 2242 6706 M 50 0 R D +7197 1422 M 0 5284 R D 7197 1917 M -99 0 R D 7197 2743 M -99 0 R D +7197 3569 M -99 0 R D 7197 4394 M -99 0 R D 7197 5220 M -99 0 R D +7197 6045 M -99 0 R D 7197 1422 M -49 0 R D 7197 1587 M -49 0 R D +7197 1752 M -49 0 R D 7197 2083 M -49 0 R D 7197 2248 M -49 0 R D 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R 222 0 R 0 -222 R -222 0 R F +10 setlinewidth 6065 2691 M 0 222 R 222 0 R 0 -222 R -222 0 R D 5898 2876 M +0 222 R 222 0 R 0 -222 R -222 0 R D 3889 5117 M 0 222 R 222 0 R 0 -222 R +-222 0 R D 3722 5031 M 0 222 R 222 0 R 0 -222 R -222 0 R D 3554 4872 M +0 222 R 222 0 R 0 -222 R -222 0 R D 20 setlinewidth 6151 2377 M 50 0 R +-25 0 R 0 690 R -25 0 R 50 0 R D 5984 2697 M 50 0 R -25 0 R 0 496 R -25 0 R +50 0 R D 5817 3396 M 49 0 R -25 0 R 0 326 R -24 0 R 49 0 R D 5649 3333 M +50 0 R -25 0 R 0 345 R -25 0 R 50 0 R D 5482 3697 M 49 0 R -24 0 R 0 286 R +-25 0 R 49 0 R D 5314 4158 M 50 0 R -25 0 R 0 221 R -25 0 R 50 0 R D +5147 4283 M 50 0 R -25 0 R 0 216 R -25 0 R 50 0 R D 4980 4397 M 49 0 R +-25 0 R 0 209 R -24 0 R 49 0 R D 4812 4623 M 50 0 R -25 0 R 0 192 R -25 0 R +50 0 R D 4645 4835 M 49 0 R -24 0 R 0 165 R -25 0 R 49 0 R D 4477 4859 M +50 0 R -25 0 R 0 155 R -25 0 R 50 0 R D 4310 4931 M 50 0 R -25 0 R 0 147 R +-25 0 R 50 0 R D 4143 5191 M 49 0 R -25 0 R 0 136 R -24 0 R 49 0 R D +3975 5149 M 50 0 R -25 0 R 0 150 R -25 0 R 50 0 R D 3808 5034 M 49 0 R +-24 0 R 0 203 R -25 0 R 49 0 R D 3640 4670 M 50 0 R -25 0 R 0 531 R -25 0 R +50 0 R D 0.082 1.000 0.000 setrgbcolor 4518 4724 M 0 13 R -3 13 R -4 13 R +-6 11 R -7 11 R -9 10 R -10 9 R -11 7 R -11 6 R -13 4 R -12 2 R -14 1 R +-13 -1 R -12 -2 R -13 -4 R -11 -6 R -11 -7 R -10 -9 R -9 -10 R -7 -11 R +-6 -11 R -4 -13 R -3 -13 R 0 -13 R 0 -13 R 3 -13 R 4 -12 R 6 -12 R 7 -11 R +9 -9 R 10 -9 R 11 -7 R 11 -6 R 13 -4 R 12 -3 R 13 -1 R 14 1 R 12 3 R 13 4 R +11 6 R 11 7 R 10 9 R 9 9 R 7 11 R 6 12 R 4 12 R 3 13 R 0 13 R F +4853 4708 M -1 13 R -2 13 R -4 12 R -6 12 R -7 11 R -9 9 R -10 9 R -11 7 R +-11 6 R -13 4 R -13 3 R -13 1 R -13 -1 R -13 -3 R -12 -4 R -12 -6 R -11 -7 R +-9 -9 R -9 -9 R -7 -11 R -6 -12 R -4 -12 R -3 -13 R -1 -13 R 1 -13 R 3 -13 R +4 -12 R 6 -12 R 7 -11 R 9 -10 R 9 -8 R 11 -8 R 12 -6 R 12 -4 R 13 -2 R +13 -1 R 13 1 R 13 2 R 13 4 R 11 6 R 11 8 R 10 8 R 9 10 R 7 11 R 6 12 R +4 12 R 2 13 R 1 13 R F +5188 4510 M -1 13 R -2 13 R -5 12 R -5 12 R -8 10 R -8 10 R -10 9 R -11 7 R +-12 6 R -12 4 R -13 3 R -13 1 R -13 -1 R -13 -3 R -12 -4 R -12 -6 R -11 -7 R +-10 -9 R -8 -10 R -7 -10 R -6 -12 R -4 -12 R -3 -13 R -1 -13 R 1 -13 R +3 -13 R 4 -13 R 6 -11 R 7 -11 R 8 -10 R 10 -9 R 11 -7 R 12 -6 R 12 -4 R +13 -2 R 13 -1 R 13 1 R 13 2 R 12 4 R 12 6 R 11 7 R 10 9 R 8 10 R 8 11 R +5 11 R 5 13 R 2 13 R 1 13 R F +5523 4064 M -1 13 R -3 13 R -4 12 R -6 12 R -7 11 R -8 10 R -10 8 R -11 7 R +-12 6 R -12 4 R -13 3 R -13 1 R -13 -1 R -13 -3 R -12 -4 R -12 -6 R -11 -7 R +-10 -8 R -8 -10 R -8 -11 R -5 -12 R -5 -12 R -2 -13 R -1 -13 R 1 -13 R +2 -13 R 5 -12 R 5 -12 R 8 -11 R 8 -10 R 10 -8 R 11 -8 R 12 -5 R 12 -5 R +13 -2 R 13 -1 R 13 1 R 13 2 R 12 5 R 12 5 R 11 8 R 10 8 R 8 10 R 7 11 R +6 12 R 4 12 R 3 13 R 1 13 R F +5858 3486 M -1 13 R -3 13 R -4 12 R -6 12 R -7 11 R -9 10 R -9 8 R -11 8 R +-12 5 R -12 4 R -13 3 R -13 1 R -13 -1 R -13 -3 R -13 -4 R -11 -5 R -11 -8 R +-10 -8 R -9 -10 R -7 -11 R -6 -12 R -4 -12 R -2 -13 R -1 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4691 M 49 0 R -25 0 R 0 66 R -24 0 R 49 0 R D 4729 4691 M 49 0 R +-25 0 R 0 33 R -24 0 R 49 0 R D 5063 4493 M 50 0 R -25 0 R 0 33 R -25 0 R +50 0 R D 5398 4031 M 50 0 R -25 0 R 0 66 R -25 0 R 50 0 R D 5733 3436 M +49 0 R -24 0 R 0 100 R -25 0 R 49 0 R D 6068 2842 M 49 0 R -25 0 R 0 149 R +-24 0 R 49 0 R D 6403 2083 M 49 0 R -25 0 R 0 297 R -24 0 R 49 0 R D +0.000 0.000 0.000 setrgbcolor 2242 5416 M 10 11 R 92 -16 R 93 -19 R 92 -20 R +92 -22 R 92 65 R 92 -28 R 91 -30 R 92 -32 R 91 -34 R 91 38 R 90 -40 R +91 -41 R 90 -44 R 91 16 R 90 -49 R 90 -51 R 90 -53 R 89 -56 R 90 -7 R +89 -60 R 90 -63 R 89 -64 R 89 -67 R 88 -29 R 89 -72 R 89 -73 R 88 -76 R +88 -46 R 89 -81 R 88 -82 R 88 -85 R 88 -86 R 87 -65 R 88 -91 R 88 -94 R +87 -95 R 87 -79 R 88 -100 R 87 -101 R 87 -104 R 87 -106 R 87 -95 R 87 -110 R +86 -111 R 87 -114 R 87 -116 R 86 -109 R 87 -120 R 86 -122 R 87 -124 R +86 -120 R 86 -128 R 86 -130 R 86 -132 R 87 -134 R 67 -103 R D 2242 5428 M +10 12 R 92 -9 R 93 -10 R 92 -13 R 92 -15 R 92 78 R 92 -21 R 91 -23 R +92 -24 R 91 -27 R 91 50 R 90 -32 R 91 -35 R 90 -36 R 91 28 R 90 -42 R +90 -44 R 90 -46 R 89 -48 R 90 4 R 89 -53 R 90 -55 R 89 -58 R 89 -59 R +88 -18 R 89 -65 R 89 -66 R 88 -69 R 88 -36 R 89 -73 R 88 -76 R 88 -77 R +88 -80 R 87 -55 R 88 -84 R 88 -86 R 87 -88 R 87 -71 R 88 -92 R 87 -95 R +87 -97 R 87 -99 R 87 -86 R 87 -103 R 86 -105 R 87 -107 R 87 -109 R 86 -101 R +87 -113 R 86 -115 R 87 -117 R 86 -112 R 86 -122 R 86 -123 R 86 -125 R +87 -127 R 67 -98 R D L1 2242 6228 M 10 -2 R 92 -24 R 93 7 R 92 -29 R +92 -31 R 92 -32 R 92 -9 R 91 -37 R 92 -39 R 91 -41 R 91 -43 R 90 -26 R +91 -47 R 90 -49 R 91 -52 R 90 -53 R 90 -40 R 90 -58 R 89 -59 R 90 -61 R +89 -52 R 90 -65 R 89 -68 R 89 -68 R 88 -71 R 89 -65 R 89 -75 R 88 -77 R +88 -78 R 89 -75 R 88 -82 R 88 -84 R 88 -86 R 87 -88 R 88 -86 R 88 -92 R +87 -93 R 87 -95 R 88 -97 R 87 -97 R 87 -100 R 87 -103 R 87 -104 R 87 -105 R +86 -108 R 87 -110 R 87 -112 R 86 -113 R 87 -115 R 86 -117 R 87 -119 R +86 -121 R 86 -123 R 86 -124 R 86 -127 R 87 -128 R 67 -102 R D 2242 4189 M +10 1 R 92 4 R 93 210 R 92 -2 R 92 -4 R 92 -6 R 92 -8 R 91 170 R 92 -14 R +91 -17 R 91 -18 R 90 137 R 91 -25 R 90 -26 R 91 -29 R 90 -30 R 90 101 R +90 -36 R 89 -39 R 90 -41 R 89 73 R 90 -47 R 89 -48 R 89 -51 R 88 -53 R +89 42 R 89 -59 R 88 -60 R 88 -63 R 89 -65 R 88 13 R 88 -70 R 88 -73 R +87 -74 R 88 -11 R 88 -80 R 87 -81 R 87 -84 R 88 -86 R 87 -36 R 87 -91 R +87 -93 R 87 -96 R 87 -97 R 86 -59 R 87 -102 R 87 -104 R 86 -107 R 87 -77 R +86 -111 R 87 -113 R 86 -116 R 86 -117 R 86 -96 R 86 -122 R 87 -124 R +67 -99 R D gsave 2577 1752 translate 0 0 M 1.1 dup scale +(z = 1.2 - 1.58) show grestore gsave 836 6706 translate 0 0 M 90 rotate +1.01 dup scale -2734.43 0 N +(Log\( d) show +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(F) show +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( / dM) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(g) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( \) [Mpc) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-3) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( mag) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-1) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(]) show grestore 15 setlinewidth L0 7197 1422 M 4955 0 R D 8202 1422 M +0 106 R D gsave 8202 889 translate 0 0 M 1.01 dup scale -305.858 0 N +(-22) show grestore 9541 1422 M 0 106 R D gsave 9541 889 translate 0 0 M +1.01 dup scale -305.858 0 N +(-24) show grestore 10880 1422 M 0 106 R D gsave 10880 889 translate 0 0 M +1.01 dup scale -305.858 0 N +(-26) show grestore 7197 1422 M 0 53 R D 7532 1422 M 0 53 R D 7867 1422 M +0 53 R D 8537 1422 M 0 53 R D 8871 1422 M 0 53 R D 9206 1422 M 0 53 R D +9876 1422 M 0 53 R D 10211 1422 M 0 53 R D 10545 1422 M 0 53 R D +11215 1422 M 0 53 R D 11550 1422 M 0 53 R D 11885 1422 M 0 53 R D +7197 6706 M 4955 0 R D 8202 6706 M 0 -106 R D 9541 6706 M 0 -106 R D +10880 6706 M 0 -106 R D 7197 6706 M 0 -53 R D 7532 6706 M 0 -53 R D +7867 6706 M 0 -53 R D 8537 6706 M 0 -53 R D 8871 6706 M 0 -53 R D +9206 6706 M 0 -53 R D 9876 6706 M 0 -53 R D 10211 6706 M 0 -53 R D +10545 6706 M 0 -53 R D 11215 6706 M 0 -53 R D 11550 6706 M 0 -53 R D +11885 6706 M 0 -53 R D 7197 1422 M 0 5284 R D 7197 1917 M 99 0 R D +gsave 7085 1775 translate 0 0 M 1.01 dup scale -117.687 0 N +( ) show grestore 7197 2743 M 99 0 R D gsave 7085 2601 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 3569 M 99 0 R D gsave 7085 3426 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 4394 M 99 0 R D gsave 7085 4252 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 5220 M 99 0 R D gsave 7085 5077 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 6045 M 99 0 R D gsave 7085 5903 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 1422 M 50 0 R D 7197 1587 M 50 0 R D 7197 1752 M +50 0 R D 7197 2083 M 50 0 R D 7197 2248 M 50 0 R D 7197 2413 M 50 0 R D +7197 2578 M 50 0 R D 7197 2908 M 50 0 R D 7197 3073 M 50 0 R D 7197 3238 M +50 0 R D 7197 3403 M 50 0 R D 7197 3734 M 50 0 R D 7197 3899 M 50 0 R D +7197 4064 M 50 0 R D 7197 4229 M 50 0 R D 7197 4559 M 50 0 R D 7197 4724 M +50 0 R D 7197 4889 M 50 0 R D 7197 5055 M 50 0 R D 7197 5385 M 50 0 R D +7197 5550 M 50 0 R D 7197 5715 M 50 0 R D 7197 5880 M 50 0 R D 7197 6210 M +50 0 R D 7197 6375 M 50 0 R D 7197 6540 M 50 0 R D 7197 6706 M 50 0 R D +12152 1422 M 0 5284 R D 12152 1917 M -99 0 R D 12152 2743 M -99 0 R D +12152 3569 M -99 0 R D 12152 4394 M -99 0 R D 12152 5220 M -99 0 R D +12152 6045 M -99 0 R D 12152 1422 M -49 0 R D 12152 1587 M -49 0 R D +12152 1752 M -49 0 R D 12152 2083 M -49 0 R D 12152 2248 M -49 0 R D +12152 2413 M -49 0 R D 12152 2578 M -49 0 R D 12152 2908 M -49 0 R D +12152 3073 M -49 0 R D 12152 3238 M -49 0 R D 12152 3403 M -49 0 R D +12152 3734 M -49 0 R D 12152 3899 M -49 0 R D 12152 4064 M -49 0 R D +12152 4229 M -49 0 R D 12152 4559 M -49 0 R D 12152 4724 M -49 0 R D +12152 4889 M -49 0 R D 12152 5055 M -49 0 R D 12152 5385 M -49 0 R D +12152 5550 M -49 0 R D 12152 5715 M -49 0 R D 12152 5880 M -49 0 R D +12152 6210 M -49 0 R D 12152 6375 M -49 0 R D 12152 6540 M -49 0 R D +12152 6706 M -49 0 R D 11020 3088 M 0 222 R 222 0 R 0 -222 R -222 0 R F +10853 3519 M 0 222 R 222 0 R 0 -222 R -222 0 R F +10685 3842 M 0 222 R 222 0 R 0 -222 R -222 0 R F +10518 4093 M 0 222 R 222 0 R 0 -222 R -222 0 R F +10351 4330 M 0 222 R 222 0 R 0 -222 R -222 0 R F +10183 4431 M 0 222 R 222 0 R 0 -222 R -222 0 R F +10016 4519 M 0 222 R 222 0 R 0 -222 R -222 0 R F +9848 4596 M 0 222 R 222 0 R 0 -222 R -222 0 R F +9681 4777 M 0 222 R 222 0 R 0 -222 R -222 0 R F +9514 5012 M 0 222 R 222 0 R 0 -222 R -222 0 R F +9346 4949 M 0 222 R 222 0 R 0 -222 R -222 0 R F +9179 5206 M 0 222 R 222 0 R 0 -222 R -222 0 R F +10 setlinewidth 11522 3409 M 0 222 R 222 0 R 0 -222 R -222 0 R D +11355 2654 M 0 222 R 222 0 R 0 -222 R -222 0 R D 11188 2412 M 0 222 R +222 0 R 0 -222 R -222 0 R D 9011 5152 M 0 222 R 222 0 R 0 -222 R -222 0 R D +8844 5208 M 0 222 R 222 0 R 0 -222 R -222 0 R D 20 setlinewidth 11633 1422 M +0 2595 R -24 0 R 49 0 R D 11441 2267 M 50 0 R -25 0 R 0 789 R -25 0 R 50 0 R +D 11274 2098 M 49 0 R -24 0 R 0 690 R -25 0 R 49 0 R D 11106 2966 M 50 0 R +-25 0 R 0 408 R -25 0 R 50 0 R D 10939 3463 M 50 0 R -25 0 R 0 303 R -25 0 R +50 0 R D 10772 3818 M 49 0 R -25 0 R 0 249 R -24 0 R 49 0 R D 10604 4087 M +50 0 R -25 0 R 0 218 R -25 0 R 50 0 R D 10437 4335 M 49 0 R -24 0 R 0 199 R +-25 0 R 49 0 R D 10269 4439 M 50 0 R -25 0 R 0 193 R -25 0 R 50 0 R D +10102 4528 M 50 0 R -25 0 R 0 191 R -25 0 R 50 0 R D 9935 4608 M 49 0 R +-25 0 R 0 187 R -24 0 R 49 0 R D 9767 4805 M 50 0 R -25 0 R 0 156 R -25 0 R +50 0 R D 9600 5056 M 49 0 R -24 0 R 0 129 R -25 0 R 49 0 R D 9432 4986 M +50 0 R -25 0 R 0 141 R -25 0 R 50 0 R D 9265 5252 M 50 0 R -25 0 R 0 126 R +-25 0 R 50 0 R D 9098 5181 M 49 0 R -25 0 R 0 155 R -24 0 R 49 0 R D +8930 5141 M 50 0 R -25 0 R 0 320 R -25 0 R 50 0 R D +0.082 1.000 0.000 setrgbcolor 9473 4889 M 0 13 R -3 13 R -4 13 R -6 11 R +-7 11 R -9 10 R -10 9 R -11 7 R -11 6 R -13 4 R -12 2 R -13 1 R -13 -1 R +-13 -2 R -13 -4 R -11 -6 R -11 -7 R -10 -9 R -9 -10 R -7 -11 R -6 -11 R +-4 -13 R -3 -13 R 0 -13 R 0 -13 R 3 -12 R 4 -13 R 6 -12 R 7 -10 R 9 -10 R +10 -9 R 11 -7 R 11 -6 R 13 -4 R 13 -3 R 13 0 R 13 0 R 12 3 R 13 4 R 11 6 R +11 7 R 10 9 R 9 10 R 7 10 R 6 12 R 4 13 R 3 12 R 0 13 R F +9808 4774 M -1 13 R -2 13 R -4 12 R -6 12 R -7 11 R -9 9 R -10 9 R -11 7 R +-11 6 R -13 4 R -13 3 R -13 1 R -13 -1 R -13 -3 R -12 -4 R -12 -6 R -10 -7 R +-10 -9 R -9 -9 R -7 -11 R -6 -12 R -4 -12 R -3 -13 R -1 -13 R 1 -13 R +3 -13 R 4 -12 R 6 -12 R 7 -11 R 9 -10 R 10 -8 R 10 -8 R 12 -5 R 12 -5 R +13 -2 R 13 -1 R 13 1 R 13 2 R 13 5 R 11 5 R 11 8 R 10 8 R 9 10 R 7 11 R +6 12 R 4 12 R 2 13 R 1 13 R F +10143 4642 M -1 13 R -2 13 R -5 12 R -5 12 R -8 11 R -8 9 R -10 9 R -11 7 R +-12 6 R -12 4 R -13 3 R -13 1 R -13 -1 R -13 -3 R -12 -4 R -12 -6 R -11 -7 R +-9 -9 R -9 -9 R -7 -11 R -6 -12 R -4 -12 R -3 -13 R -1 -13 R 1 -13 R 3 -13 R +4 -12 R 6 -12 R 7 -11 R 9 -10 R 9 -9 R 11 -7 R 12 -6 R 12 -4 R 13 -2 R +13 -1 R 13 1 R 13 2 R 12 4 R 12 6 R 11 7 R 10 9 R 8 10 R 8 11 R 5 12 R +5 12 R 2 13 R 1 13 R F +10478 4361 M -1 13 R -3 13 R -4 12 R -6 12 R -7 11 R -8 10 R -10 8 R -11 8 R +-12 5 R -12 5 R -13 2 R -13 1 R -13 -1 R -13 -2 R -12 -5 R -12 -5 R -11 -8 R +-10 -8 R -8 -10 R -8 -11 R -5 -12 R -5 -12 R -2 -13 R -1 -13 R 1 -13 R +2 -13 R 5 -12 R 5 -12 R 8 -11 R 8 -10 R 10 -8 R 11 -7 R 12 -6 R 12 -4 R +13 -3 R 13 -1 R 13 1 R 13 3 R 12 4 R 12 6 R 11 7 R 10 8 R 8 10 R 7 11 R +6 12 R 4 12 R 3 13 R 1 13 R F +10813 3948 M -1 13 R -3 13 R -4 13 R -6 11 R -7 11 R -9 10 R -9 9 R -11 7 R +-12 6 R -12 4 R -13 2 R -13 1 R -13 -1 R -13 -2 R -12 -4 R -12 -6 R -11 -7 R +-10 -9 R -9 -10 R -7 -11 R -6 -11 R -4 -13 R -2 -13 R -1 -13 R 1 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-1 14 R -2 12 R -5 13 R -5 11 R -8 11 R -8 10 R -10 9 R -11 7 R +-12 6 R -12 4 R -13 3 R -13 0 R -13 0 R -13 -3 R -12 -4 R -12 -6 R -11 -7 R +-9 -9 R -9 -10 R -7 -11 R -6 -11 R -4 -13 R -3 -12 R -1 -14 R 1 -13 R +3 -12 R 4 -13 R 6 -11 R 7 -11 R 9 -10 R 9 -9 R 11 -7 R 12 -6 R 12 -4 R +13 -3 R 13 0 R 13 0 R 13 3 R 12 4 R 12 6 R 11 7 R 10 9 R 8 10 R 8 11 R +5 11 R 5 13 R 2 12 R 1 13 R F +9349 4328 M 49 0 R -24 0 R 0 1040 R -25 0 R 49 0 R D 9684 4741 M 49 0 R +-25 0 R 0 66 R -24 0 R 49 0 R D 10018 4625 M 50 0 R -25 0 R 0 33 R -25 0 R +50 0 R D 10353 4328 M 50 0 R -25 0 R 0 50 R -25 0 R 50 0 R D 10688 3915 M +50 0 R -25 0 R 0 66 R -25 0 R 50 0 R D 11023 3354 M 49 0 R -24 0 R 0 99 R +-25 0 R 49 0 R D 11358 2693 M 49 0 R -25 0 R 0 166 R -24 0 R 49 0 R D +11692 1719 M 50 0 R -25 0 R 0 397 R -25 0 R 50 0 R D 12052 1422 M 0 33 R +-25 0 R 50 0 R D 0.000 0.000 0.000 setrgbcolor 7197 5428 M 10 12 R 93 -10 R +92 -12 R 92 -14 R 92 -16 R 92 75 R 92 -21 R 91 -24 R 92 -26 R 91 -28 R +91 49 R 90 -34 R 91 -36 R 91 -37 R 90 26 R 90 -43 R 90 -45 R 90 -47 R +89 -49 R 90 2 R 89 -54 R 90 -57 R 89 -58 R 89 -61 R 88 -20 R 89 -66 R +89 -67 R 88 -70 R 89 -38 R 88 -74 R 88 -77 R 88 -78 R 88 -81 R 87 -57 R +88 -85 R 88 -87 R 87 -90 R 87 -71 R 88 -94 R 87 -96 R 87 -98 R 87 -99 R +87 -88 R 87 -104 R 86 -106 R 87 -108 R 87 -110 R 86 -103 R 87 -114 R +86 -116 R 87 -118 R 86 -114 R 86 -122 R 86 -124 R 86 -127 R 87 -128 R +67 -99 R D 7197 5424 M 10 13 R 93 -5 R 92 -7 R 92 -9 R 92 -12 R 92 84 R +92 -17 R 91 -19 R 92 -21 R 91 -23 R 91 56 R 90 -28 R 91 -31 R 91 -33 R +90 34 R 90 -38 R 90 -41 R 90 -42 R 89 -45 R 90 10 R 89 -50 R 90 -51 R +89 -54 R 89 -56 R 88 -13 R 89 -61 R 89 -63 R 88 -65 R 89 -31 R 88 -70 R +88 -72 R 88 -74 R 88 -76 R 87 -50 R 88 -81 R 88 -83 R 87 -85 R 87 -65 R +88 -89 R 87 -92 R 87 -93 R 87 -95 R 87 -82 R 87 -100 R 86 -102 R 87 -103 R +87 -106 R 86 -97 R 87 -110 R 86 -111 R 87 -114 R 86 -108 R 86 -118 R +86 -120 R 86 -122 R 87 -124 R 67 -94 R D L1 7197 6251 M 10 -1 R 93 -21 R +92 12 R 92 -25 R 92 -28 R 92 -29 R 92 -3 R 91 -34 R 92 -36 R 91 -38 R +91 -40 R 90 -20 R 91 -45 R 91 -46 R 90 -48 R 90 -49 R 90 -37 R 90 -54 R +89 -56 R 90 -58 R 89 -48 R 90 -62 R 89 -64 R 89 -66 R 88 -67 R 89 -62 R +89 -71 R 88 -74 R 89 -75 R 88 -71 R 88 -79 R 88 -81 R 88 -83 R 87 -85 R +88 -82 R 88 -89 R 87 -90 R 87 -92 R 88 -94 R 87 -93 R 87 -97 R 87 -100 R +87 -101 R 87 -102 R 86 -104 R 87 -107 R 87 -109 R 86 -110 R 87 -111 R +86 -114 R 87 -116 R 86 -118 R 86 -120 R 86 -121 R 86 -123 R 87 -125 R +67 -99 R D 7197 4162 M 10 2 R 93 8 R 92 216 R 92 2 R 92 0 R 92 -2 R 92 -5 R +91 177 R 92 -10 R 91 -13 R 91 -15 R 90 143 R 91 -20 R 91 -23 R 90 -25 R +90 -27 R 90 108 R 90 -32 R 89 -35 R 90 -37 R 89 78 R 90 -43 R 89 -45 R +89 -47 R 88 -49 R 89 48 R 89 -55 R 88 -57 R 89 -59 R 88 -61 R 88 19 R +88 -67 R 88 -68 R 87 -71 R 88 -5 R 88 -76 R 87 -79 R 87 -80 R 88 -82 R +87 -31 R 87 -87 R 87 -90 R 87 -91 R 87 -94 R 86 -54 R 87 -98 R 87 -101 R +86 -103 R 87 -72 R 86 -108 R 87 -110 R 86 -111 R 86 -114 R 86 -92 R +86 -118 R 87 -121 R 67 -96 R D gsave 7532 1752 translate 0 0 M 1.1 dup scale +(z = 1.51 - 1.83) show grestore gsave 9675 266 translate 0 0 M +1.01 dup scale -249.284 0 N +(M) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(g) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 15 setlinewidth L0 12152 1422 M 4955 0 R D +13157 1422 M 0 106 R D gsave 13157 889 translate 0 0 M 1.01 dup scale +-305.858 0 N +(-22) show grestore 14496 1422 M 0 106 R D gsave 14496 889 translate 0 0 M +1.01 dup scale -305.858 0 N +(-24) show grestore 15835 1422 M 0 106 R D gsave 15835 889 translate 0 0 M +1.01 dup scale -305.858 0 N +(-26) show grestore 12152 1422 M 0 53 R D 12487 1422 M 0 53 R D 12822 1422 M +0 53 R D 13492 1422 M 0 53 R D 13826 1422 M 0 53 R D 14161 1422 M 0 53 R D +14831 1422 M 0 53 R D 15166 1422 M 0 53 R D 15500 1422 M 0 53 R D +16170 1422 M 0 53 R D 16505 1422 M 0 53 R D 16840 1422 M 0 53 R D +12152 6706 M 4955 0 R D 13157 6706 M 0 -106 R D 14496 6706 M 0 -106 R D +15835 6706 M 0 -106 R D 12152 6706 M 0 -53 R D 12487 6706 M 0 -53 R D +12822 6706 M 0 -53 R D 13492 6706 M 0 -53 R D 13826 6706 M 0 -53 R D +14161 6706 M 0 -53 R D 14831 6706 M 0 -53 R D 15166 6706 M 0 -53 R D +15500 6706 M 0 -53 R D 16170 6706 M 0 -53 R D 16505 6706 M 0 -53 R D +16840 6706 M 0 -53 R D 12152 1422 M 0 5284 R D 12152 1917 M 99 0 R D +gsave 12040 1775 translate 0 0 M 1.01 dup scale -117.687 0 N +( ) show grestore 12152 2743 M 99 0 R D gsave 12040 2601 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 3569 M 99 0 R D gsave 12040 3426 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 4394 M 99 0 R D gsave 12040 4252 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 5220 M 99 0 R D gsave 12040 5077 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 6045 M 99 0 R D gsave 12040 5903 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 1422 M 50 0 R D 12152 1587 M 50 0 R D 12152 1752 M +50 0 R D 12152 2083 M 50 0 R D 12152 2248 M 50 0 R D 12152 2413 M 50 0 R D +12152 2578 M 50 0 R D 12152 2908 M 50 0 R D 12152 3073 M 50 0 R D +12152 3238 M 50 0 R D 12152 3403 M 50 0 R D 12152 3734 M 50 0 R D +12152 3899 M 50 0 R D 12152 4064 M 50 0 R D 12152 4229 M 50 0 R D +12152 4559 M 50 0 R D 12152 4724 M 50 0 R D 12152 4889 M 50 0 R D +12152 5055 M 50 0 R D 12152 5385 M 50 0 R D 12152 5550 M 50 0 R D +12152 5715 M 50 0 R D 12152 5880 M 50 0 R D 12152 6210 M 50 0 R D +12152 6375 M 50 0 R D 12152 6540 M 50 0 R D 12152 6706 M 50 0 R D +17107 1422 M 0 5284 R D 17107 1917 M -99 0 R D 17107 2743 M -99 0 R D +17107 3569 M -99 0 R D 17107 4394 M -99 0 R D 17107 5220 M -99 0 R D +17107 6045 M -99 0 R D 17107 1422 M -49 0 R D 17107 1587 M -49 0 R D +17107 1752 M -49 0 R D 17107 2083 M -49 0 R D 17107 2248 M -49 0 R D +17107 2413 M -49 0 R D 17107 2578 M -49 0 R D 17107 2908 M -49 0 R D +17107 3073 M -49 0 R D 17107 3238 M -49 0 R D 17107 3403 M -49 0 R D +17107 3734 M -49 0 R D 17107 3899 M -49 0 R D 17107 4064 M -49 0 R D +17107 4229 M -49 0 R D 17107 4559 M -49 0 R D 17107 4724 M -49 0 R D +17107 4889 M -49 0 R D 17107 5055 M -49 0 R D 17107 5385 M -49 0 R D +17107 5550 M -49 0 R D 17107 5715 M -49 0 R D 17107 5880 M -49 0 R D +17107 6210 M -49 0 R D 17107 6375 M -49 0 R D 17107 6540 M -49 0 R D +17107 6706 M -49 0 R D 16310 2971 M 0 222 R 222 0 R 0 -222 R -222 0 R F +16143 3305 M 0 222 R 222 0 R 0 -222 R -222 0 R F +15975 3600 M 0 222 R 222 0 R 0 -222 R -222 0 R F +15808 3809 M 0 222 R 222 0 R 0 -222 R -222 0 R F +15640 3912 M 0 222 R 222 0 R 0 -222 R -222 0 R F +15473 4152 M 0 222 R 222 0 R 0 -222 R -222 0 R F +15306 4366 M 0 222 R 222 0 R 0 -222 R -222 0 R F +15138 4594 M 0 222 R 222 0 R 0 -222 R -222 0 R F +14971 4573 M 0 222 R 222 0 R 0 -222 R -222 0 R F +14803 4835 M 0 222 R 222 0 R 0 -222 R -222 0 R F +14636 4927 M 0 222 R 222 0 R 0 -222 R -222 0 R F +14469 4936 M 0 222 R 222 0 R 0 -222 R -222 0 R F +10 setlinewidth 16645 1947 M 0 222 R 222 0 R 0 -222 R -222 0 R D +16477 2599 M 0 222 R 222 0 R 0 -222 R -222 0 R D 14301 5073 M 0 222 R +222 0 R 0 -222 R -222 0 R D 14134 5024 M 0 222 R 222 0 R 0 -222 R -222 0 R D +13966 5374 M 0 222 R 222 0 R 0 -222 R -222 0 R D 20 setlinewidth +16756 1422 M 0 1133 R -25 0 R 50 0 R D 16564 2370 M 49 0 R -25 0 R 0 571 R +-24 0 R 49 0 R D 16396 2838 M 50 0 R -25 0 R 0 426 R -25 0 R 50 0 R D +16229 3230 M 49 0 R -24 0 R 0 334 R -25 0 R 49 0 R D 16062 3558 M 49 0 R +-25 0 R 0 280 R -24 0 R 49 0 R D 15894 3782 M 50 0 R -25 0 R 0 253 R -25 0 R +50 0 R D 15727 3888 M 49 0 R -25 0 R 0 249 R -24 0 R 49 0 R D 15559 4144 M +50 0 R -25 0 R 0 221 R -25 0 R 50 0 R D 15392 4371 M 49 0 R -24 0 R 0 199 R +-25 0 R 49 0 R D 15225 4609 M 49 0 R -25 0 R 0 180 R -24 0 R 49 0 R D +15057 4589 M 50 0 R -25 0 R 0 179 R -25 0 R 50 0 R D 14890 4872 M 49 0 R +-25 0 R 0 140 R -24 0 R 49 0 R D 14722 4968 M 50 0 R -25 0 R 0 134 R -25 0 R +50 0 R D 14555 4974 M 49 0 R -24 0 R 0 140 R -25 0 R 49 0 R D 14388 5113 M +49 0 R -25 0 R 0 134 R -24 0 R 49 0 R D 14220 5021 M 50 0 R -25 0 R 0 213 R +-25 0 R 50 0 R D 14053 4604 M 49 0 R -25 0 R 0 1264 R -24 0 R 49 0 R D +0.082 1.000 0.000 setrgbcolor 14763 4790 M -1 13 R -2 13 R -4 13 R -6 11 R +-7 11 R -9 10 R -10 9 R -11 7 R -11 6 R -13 4 R -13 2 R -13 1 R -13 -1 R +-12 -2 R -13 -4 R -12 -6 R -10 -7 R -10 -9 R -9 -10 R -7 -11 R -6 -11 R +-4 -13 R -3 -13 R -1 -13 R 1 -13 R 3 -13 R 4 -12 R 6 -12 R 7 -10 R 9 -10 R +10 -9 R 10 -7 R 12 -6 R 13 -4 R 12 -3 R 13 -1 R 13 1 R 13 3 R 13 4 R 11 6 R +11 7 R 10 9 R 9 10 R 7 10 R 6 12 R 4 12 R 2 13 R 1 13 R F +15098 4642 M -1 13 R -2 13 R -5 12 R -5 12 R -8 11 R -8 9 R -10 9 R -11 7 R +-12 6 R -12 4 R -13 3 R -13 1 R -13 -1 R -13 -3 R -12 -4 R -12 -6 R -11 -7 R +-9 -9 R -9 -9 R -7 -11 R -6 -12 R -4 -12 R -3 -13 R -1 -13 R 1 -13 R 3 -13 R +4 -12 R 6 -12 R 7 -11 R 9 -10 R 9 -9 R 11 -7 R 12 -6 R 12 -4 R 13 -2 R +13 -1 R 13 1 R 13 2 R 12 4 R 12 6 R 11 7 R 10 9 R 8 10 R 8 11 R 5 12 R +5 12 R 2 13 R 1 13 R F +15433 4394 M -1 13 R -3 13 R -4 12 R -5 12 R -8 11 R -8 10 R -10 8 R -11 8 R +-12 5 R -12 5 R -13 2 R -13 1 R -13 -1 R -13 -2 R -12 -5 R -12 -5 R -11 -8 R +-10 -8 R -8 -10 R -8 -11 R -5 -12 R -5 -12 R -2 -13 R -1 -13 R 1 -13 R +2 -13 R 5 -12 R 5 -12 R 8 -11 R 8 -10 R 10 -8 R 11 -7 R 12 -6 R 12 -4 R +13 -3 R 13 -1 R 13 1 R 13 3 R 12 4 R 12 6 R 11 7 R 10 8 R 8 10 R 8 11 R +5 12 R 4 12 R 3 13 R 1 13 R F +15768 4097 M -1 13 R -3 13 R -4 12 R -6 12 R -7 11 R -9 10 R -9 8 R -11 7 R +-12 6 R -12 4 R -13 3 R -13 1 R -13 -1 R -13 -3 R -12 -4 R -12 -6 R -11 -7 R +-10 -8 R -8 -10 R -8 -11 R -6 -12 R -4 -12 R -2 -13 R -1 -13 R 1 -13 R +2 -13 R 4 -12 R 6 -12 R 8 -11 R 8 -10 R 10 -8 R 11 -8 R 12 -5 R 12 -5 R +13 -2 R 13 -1 R 13 1 R 13 2 R 12 5 R 12 5 R 11 8 R 9 8 R 9 10 R 7 11 R +6 12 R 4 12 R 3 13 R 1 13 R F +16102 3651 M 0 13 R -3 13 R -4 12 R -6 12 R -7 11 R -9 10 R -10 8 R -10 8 R +-12 5 R -13 5 R -12 2 R -13 1 R -13 -1 R -13 -2 R -13 -5 R -11 -5 R -11 -8 R +-10 -8 R -9 -10 R -7 -11 R -6 -12 R -4 -12 R -2 -13 R -1 -13 R 1 -13 R +2 -13 R 4 -12 R 6 -12 R 7 -11 R 9 -10 R 10 -8 R 11 -7 R 11 -6 R 13 -4 R +13 -3 R 13 -1 R 13 1 R 12 3 R 13 4 R 12 6 R 10 7 R 10 8 R 9 10 R 7 11 R +6 12 R 4 12 R 3 13 R 0 13 R F +16437 2908 M -1 13 R -2 13 R -4 12 R -6 12 R -7 11 R -9 10 R -10 8 R -11 8 R +-11 5 R -13 5 R -13 2 R -13 1 R -13 -1 R -12 -2 R -13 -5 R -12 -5 R -10 -8 R +-10 -8 R -9 -10 R -7 -11 R -6 -12 R -4 -12 R -3 -13 R -1 -13 R 1 -13 R +3 -13 R 4 -12 R 6 -12 R 7 -11 R 9 -10 R 10 -8 R 10 -7 R 12 -6 R 13 -4 R +12 -3 R 13 -1 R 13 1 R 13 3 R 13 4 R 11 6 R 11 7 R 10 8 R 9 10 R 7 11 R +6 12 R 4 12 R 2 13 R 1 13 R F +16772 2347 M -1 13 R -2 13 R -5 12 R -5 12 R -8 11 R -8 9 R -10 9 R -11 7 R +-12 6 R -12 4 R -13 3 R -13 1 R -13 -1 R -13 -3 R -12 -4 R -12 -6 R -11 -7 R +-9 -9 R -9 -9 R -7 -11 R -6 -12 R -4 -12 R -3 -13 R -1 -13 R 1 -13 R 3 -13 R +4 -12 R 6 -12 R 7 -11 R 9 -10 R 9 -9 R 11 -7 R 12 -6 R 12 -4 R 13 -2 R +13 -1 R 13 1 R 13 2 R 12 4 R 12 6 R 11 7 R 10 9 R 8 10 R 8 11 R 5 12 R +5 12 R 2 13 R 1 13 R F +14639 4642 M 49 0 R -25 0 R 0 280 R -24 0 R 49 0 R D 14973 4625 M 50 0 R +-25 0 R 0 33 R -25 0 R 50 0 R D 15308 4378 M 50 0 R -25 0 R 0 33 R -25 0 R +50 0 R D 15643 4064 M 50 0 R -25 0 R 0 66 R -25 0 R 50 0 R D 15978 3618 M +49 0 R -24 0 R 0 66 R -25 0 R 49 0 R D 16313 2842 M 49 0 R -25 0 R 0 132 R +-24 0 R 49 0 R D 16647 2231 M 50 0 R -25 0 R 0 215 R -25 0 R 50 0 R D +0.000 0.000 0.000 setrgbcolor 12152 5427 M 10 12 R 93 -6 R 92 -9 R 92 -11 R +92 -13 R 92 80 R 92 -18 R 91 -21 R 92 -23 R 91 -25 R 91 53 R 91 -30 R +90 -33 R 91 -34 R 90 31 R 90 -40 R 90 -42 R 90 -45 R 89 -46 R 90 7 R +89 -51 R 90 -54 R 89 -56 R 89 -57 R 89 -16 R 88 -62 R 89 -65 R 88 -67 R +89 -33 R 88 -72 R 88 -74 R 88 -75 R 88 -78 R 87 -53 R 88 -82 R 88 -85 R +87 -86 R 87 -68 R 88 -91 R 87 -93 R 87 -95 R 87 -97 R 87 -84 R 87 -102 R +86 -103 R 87 -105 R 87 -107 R 86 -99 R 87 -112 R 86 -113 R 87 -116 R +86 -110 R 86 -119 R 86 -122 R 87 -123 R 86 -126 R 67 -96 R D 12152 5412 M +10 13 R 93 -1 R 92 -2 R 92 -5 R 92 -7 R 92 91 R 92 -13 R 91 -15 R 92 -16 R +91 -19 R 91 63 R 91 -24 R 90 -27 R 91 -29 R 90 41 R 90 -34 R 90 -36 R +90 -38 R 89 -40 R 90 16 R 89 -46 R 90 -47 R 89 -50 R 89 -52 R 89 -6 R +88 -57 R 89 -59 R 88 -61 R 89 -25 R 88 -66 R 88 -67 R 88 -70 R 88 -72 R +87 -45 R 88 -77 R 88 -78 R 87 -81 R 87 -60 R 88 -86 R 87 -87 R 87 -89 R +87 -91 R 87 -77 R 87 -96 R 86 -98 R 87 -99 R 87 -102 R 86 -92 R 87 -106 R +86 -108 R 87 -109 R 86 -104 R 86 -114 R 86 -116 R 87 -118 R 86 -120 R +67 -91 R D L1 12152 6271 M 10 -1 R 93 -16 R 92 18 R 92 -22 R 92 -23 R +92 -25 R 92 2 R 91 -30 R 92 -32 R 91 -34 R 91 -36 R 91 -15 R 90 -40 R +91 -43 R 90 -44 R 90 -46 R 90 -31 R 90 -51 R 89 -52 R 90 -54 R 89 -43 R +90 -59 R 89 -60 R 89 -62 R 89 -64 R 88 -57 R 89 -67 R 88 -70 R 89 -72 R +88 -67 R 88 -75 R 88 -77 R 88 -79 R 87 -81 R 88 -79 R 88 -85 R 87 -86 R +87 -88 R 88 -90 R 87 -90 R 87 -94 R 87 -95 R 87 -98 R 87 -97 R 86 -102 R +87 -103 R 87 -104 R 86 -107 R 87 -108 R 86 -110 R 87 -112 R 86 -114 R +86 -116 R 86 -117 R 87 -120 R 86 -121 R 67 -96 R D 12152 4123 M 10 2 R +93 13 R 92 224 R 92 6 R 92 5 R 92 2 R 92 0 R 91 184 R 92 -6 R 91 -8 R +91 -11 R 91 151 R 90 -16 R 91 -18 R 90 -21 R 90 -22 R 90 115 R 90 -28 R +89 -31 R 90 -33 R 89 86 R 90 -38 R 89 -41 R 89 -42 R 89 -45 R 88 55 R +89 -51 R 88 -52 R 89 -55 R 88 -57 R 88 26 R 88 -63 R 88 -64 R 87 -66 R +88 1 R 88 -72 R 87 -74 R 87 -76 R 88 -78 R 87 -24 R 87 -83 R 87 -85 R +87 -88 R 87 -89 R 86 -48 R 87 -94 R 87 -97 R 86 -99 R 87 -66 R 86 -103 R +87 -106 R 86 -108 R 86 -110 R 86 -85 R 87 -115 R 86 -116 R 67 -93 R D +gsave 12487 1752 translate 0 0 M 1.1 dup scale +(z = 1.7 - 2.21) show grestore +%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%+ font Symbol +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%+ font Symbol +%%EOF diff --git a/feedback/papers/0506398/f16.ps b/feedback/papers/0506398/f16.ps new file mode 100644 index 0000000..ea7092a --- /dev/null +++ b/feedback/papers/0506398/f16.ps @@ -0,0 +1,1090 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 558 720 +%%Title: Graphics produced by IDL +%%For: phopkins@dhcp152-235.cfa.harvard.edu, +%% /Users/phopkins/Documents/lars_galaxies/plots/LF_massive +%%Creator: IDL Student Edition 6.0.3, Mac OS X (darwin ppc m32) +%%CreationDate: Mon Aug 29 03:57:10 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2003 Research Systems, Inc. All Rights Reserved. +%v 4 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef end 2.5 setmiterlimit +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 558 720 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 2242 1422 M 14865 0 R D +2242 1422 M 0 211 R D gsave 2242 889 translate 0 0 M 1.01 dup scale +-235.373 0 N +(41) show grestore 4720 1422 M 0 211 R D gsave 4720 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(42) show grestore 7197 1422 M 0 211 R D gsave 7197 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(43) show grestore 9675 1422 M 0 211 R D gsave 9675 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(44) show grestore 12152 1422 M 0 211 R D gsave 12152 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(45) show grestore 14630 1422 M 0 211 R D gsave 14630 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(46) show grestore 17107 1422 M 0 211 R D gsave 17107 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(47) show grestore 2490 1422 M 0 106 R D 2738 1422 M 0 106 R D 2986 1422 M +0 106 R D 3233 1422 M 0 106 R D 3481 1422 M 0 106 R D 3729 1422 M 0 106 R D +3977 1422 M 0 106 R D 4224 1422 M 0 106 R D 4472 1422 M 0 106 R D +4968 1422 M 0 106 R D 5215 1422 M 0 106 R D 5463 1422 M 0 106 R D +5711 1422 M 0 106 R D 5959 1422 M 0 106 R D 6206 1422 M 0 106 R D +6454 1422 M 0 106 R D 6702 1422 M 0 106 R D 6950 1422 M 0 106 R D +7445 1422 M 0 106 R D 7693 1422 M 0 106 R D 7941 1422 M 0 106 R D +8188 1422 M 0 106 R D 8436 1422 M 0 106 R D 8684 1422 M 0 106 R D +8932 1422 M 0 106 R D 9179 1422 M 0 106 R D 9427 1422 M 0 106 R D +9923 1422 M 0 106 R D 10170 1422 M 0 106 R D 10418 1422 M 0 106 R D +10666 1422 M 0 106 R D 10914 1422 M 0 106 R D 11161 1422 M 0 106 R D +11409 1422 M 0 106 R D 11657 1422 M 0 106 R D 11905 1422 M 0 106 R D +12400 1422 M 0 106 R D 12648 1422 M 0 106 R D 12896 1422 M 0 106 R D +13143 1422 M 0 106 R D 13391 1422 M 0 106 R D 13639 1422 M 0 106 R D +13887 1422 M 0 106 R D 14134 1422 M 0 106 R D 14382 1422 M 0 106 R D +14878 1422 M 0 106 R D 15125 1422 M 0 106 R D 15373 1422 M 0 106 R D +15621 1422 M 0 106 R D 15869 1422 M 0 106 R D 16116 1422 M 0 106 R D +16364 1422 M 0 106 R D 16612 1422 M 0 106 R D 16860 1422 M 0 106 R D +gsave 9675 427 translate 0 0 M 1.01 dup scale -1960.51 0 N +(Log\( L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(2-10 keV) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( \) [erg/s]) show grestore 2242 11989 M 14865 0 R D 2242 11989 M 0 -211 R +D 4720 11989 M 0 -211 R D 7197 11989 M 0 -211 R D 9675 11989 M 0 -211 R D +12152 11989 M 0 -211 R D 14630 11989 M 0 -211 R D 17107 11989 M 0 -211 R D +2490 11989 M 0 -106 R D 2738 11989 M 0 -106 R D 2986 11989 M 0 -106 R D +3233 11989 M 0 -106 R D 3481 11989 M 0 -106 R D 3729 11989 M 0 -106 R D +3977 11989 M 0 -106 R D 4224 11989 M 0 -106 R D 4472 11989 M 0 -106 R D +4968 11989 M 0 -106 R D 5215 11989 M 0 -106 R D 5463 11989 M 0 -106 R D +5711 11989 M 0 -106 R D 5959 11989 M 0 -106 R D 6206 11989 M 0 -106 R D +6454 11989 M 0 -106 R D 6702 11989 M 0 -106 R D 6950 11989 M 0 -106 R D +7445 11989 M 0 -106 R D 7693 11989 M 0 -106 R D 7941 11989 M 0 -106 R D +8188 11989 M 0 -106 R D 8436 11989 M 0 -106 R D 8684 11989 M 0 -106 R D +8932 11989 M 0 -106 R D 9179 11989 M 0 -106 R D 9427 11989 M 0 -106 R D +9923 11989 M 0 -106 R D 10170 11989 M 0 -106 R D 10418 11989 M 0 -106 R D +10666 11989 M 0 -106 R D 10914 11989 M 0 -106 R D 11161 11989 M 0 -106 R D +11409 11989 M 0 -106 R D 11657 11989 M 0 -106 R D 11905 11989 M 0 -106 R D +12400 11989 M 0 -106 R D 12648 11989 M 0 -106 R D 12896 11989 M 0 -106 R D +13143 11989 M 0 -106 R D 13391 11989 M 0 -106 R D 13639 11989 M 0 -106 R D +13887 11989 M 0 -106 R D 14134 11989 M 0 -106 R D 14382 11989 M 0 -106 R D +14878 11989 M 0 -106 R D 15125 11989 M 0 -106 R D 15373 11989 M 0 -106 R D +15621 11989 M 0 -106 R D 15869 11989 M 0 -106 R D 16116 11989 M 0 -106 R D +16364 11989 M 0 -106 R D 16612 11989 M 0 -106 R D 16860 11989 M 0 -106 R D +2242 1422 M 0 10567 R D 2242 1422 M 298 0 R D +gsave 2130 1422 translate 0 0 M 1.01 dup scale -588.433 0 N +(0.0) show grestore 2242 3536 M 298 0 R D gsave 2130 3393 translate 0 0 M +1.01 dup scale -588.433 0 N +(0.2) show grestore 2242 5649 M 298 0 R D gsave 2130 5507 translate 0 0 M +1.01 dup scale -588.433 0 N +(0.4) show grestore 2242 7762 M 298 0 R D gsave 2130 7620 translate 0 0 M +1.01 dup scale -588.433 0 N +(0.6) show grestore 2242 9876 M 298 0 R D gsave 2130 9733 translate 0 0 M +1.01 dup scale -588.433 0 N +(0.8) show grestore 2242 11989 M 298 0 R D gsave 2130 11740 translate 0 0 M +1.01 dup scale -588.433 0 N +(1.0) show grestore 2242 1950 M 149 0 R D 2242 2479 M 149 0 R D 2242 3007 M +149 0 R D 2242 4064 M 149 0 R D 2242 4592 M 149 0 R D 2242 5121 M 149 0 R D +2242 6177 M 149 0 R D 2242 6706 M 149 0 R D 2242 7234 M 149 0 R D +2242 8291 M 149 0 R D 2242 8819 M 149 0 R D 2242 9347 M 149 0 R D +2242 10404 M 149 0 R D 2242 10932 M 149 0 R D 2242 11461 M 149 0 R D +gsave 1200 6706 translate 0 0 M 90 rotate 1.01 dup scale -1858.65 0 N +(Broad-Line Fraction) show grestore 17107 1422 M 0 10567 R D 17107 1422 M +-297 0 R D 17107 3536 M -297 0 R D 17107 5649 M -297 0 R D 17107 7762 M +-297 0 R D 17107 9876 M -297 0 R D 17107 11989 M -297 0 R D 17107 1950 M +-148 0 R D 17107 2479 M -148 0 R D 17107 3007 M -148 0 R D 17107 4064 M +-148 0 R D 17107 4592 M -148 0 R D 17107 5121 M -148 0 R D 17107 6177 M +-148 0 R D 17107 6706 M -148 0 R D 17107 7234 M -148 0 R D 17107 8291 M +-148 0 R D 17107 8819 M -148 0 R D 17107 9347 M -148 0 R D 17107 10404 M +-148 0 R D 17107 10932 M -148 0 R D 17107 11461 M -148 0 R D 40 setlinewidth +2242 1497 M 2 1 R 11 0 R 12 1 R 11 0 R 11 3 R 11 1 R 12 0 R 11 1 R 11 0 R +11 1 R 12 0 R 11 1 R 11 0 R 11 4 R 12 0 R 11 1 R 11 0 R 11 1 R 12 0 R 11 1 R +11 0 R 11 1 R 11 4 R 12 0 R 11 1 R 11 0 R 11 1 R 11 0 R 12 1 R 11 1 R 11 0 R +11 4 R 11 1 R 11 0 R 12 1 R 11 0 R 11 1 R 11 1 R 11 0 R 11 1 R 12 4 R 11 1 R +11 0 R 11 1 R 11 1 R 11 0 R 11 1 R 12 1 R 11 0 R 11 5 R 11 1 R 11 0 R 11 1 R +11 1 R 11 1 R 11 0 R 11 1 R 12 1 R 11 4 R 11 1 R 11 1 R 11 1 R 11 0 R 11 1 R +11 1 R 11 1 R 11 1 R 11 5 R 11 1 R 11 0 R 11 1 R 11 1 R 11 1 R 12 1 R 11 0 R +11 1 R 11 6 R 11 1 R 11 0 R 11 1 R 11 1 R 11 1 R 11 1 R 11 1 R 11 1 R 11 5 R +11 1 R 11 1 R 11 1 R 11 1 R 11 1 R 11 1 R 11 1 R 11 1 R 10 6 R 11 1 R 11 1 R +11 1 R 11 1 R 11 1 R 11 1 R 11 1 R 11 1 R 11 7 R 11 1 R 11 1 R 11 1 R 11 1 R +11 1 R 11 1 R 10 1 R 11 1 R 11 7 R 11 1 R 11 1 R 11 1 R 11 1 R 11 1 R 11 1 R +11 2 R 10 1 R 11 7 R 11 1 R 11 2 R 11 1 R 11 1 R 11 1 R 10 1 R 11 1 R 11 2 R +11 8 R 11 1 R 11 1 R 11 1 R 10 1 R 11 2 R 11 1 R 11 1 R 11 1 R 11 9 R 10 1 R +11 1 R 11 2 R 11 1 R 11 1 R 10 2 R 11 1 R 11 1 R 11 9 R 11 2 R 10 1 R 11 1 R +11 2 R 11 1 R 10 1 R 11 2 R 11 1 R 11 10 R 10 1 R 11 2 R 11 1 R 11 2 R +10 1 R 11 1 R 11 2 R 11 1 R 10 10 R 11 2 R 11 1 R 11 2 R 10 1 R 11 2 R +11 1 R 10 2 R 11 2 R 11 10 R 11 2 R 10 1 R 11 2 R 11 2 R 10 1 R 11 2 R +11 1 R 10 2 R 11 11 R 11 2 R 10 2 R 11 1 R 11 2 R 10 2 R 11 1 R 11 2 R +10 2 R 11 12 R 11 1 R 10 2 R 11 2 R 11 2 R 10 1 R 11 2 R 11 2 R 10 2 R +11 12 R 10 2 R 11 2 R 11 2 R 10 1 R 11 2 R 11 2 R 10 2 R 11 2 R 10 13 R +11 2 R 11 2 R 10 2 R 11 2 R 10 2 R 11 1 R 10 2 R 11 2 R 11 14 R 10 2 R +11 2 R 10 2 R 11 2 R 10 2 R 11 2 R 11 2 R 10 2 R 11 15 R 10 2 R 11 2 R +10 2 R 11 2 R 10 2 R 11 2 R 10 3 R 11 2 R 10 15 R 11 2 R 10 2 R 11 2 R +10 3 R 11 2 R 10 2 R 11 2 R 10 3 R 11 15 R 10 3 R 11 2 R 10 2 R 11 3 R +10 2 R 11 2 R 10 2 R 11 3 R 10 16 R 11 3 R 10 2 R 11 3 R 10 2 R 11 2 R +10 3 R 10 2 R 11 3 R 10 17 R 11 2 R 10 3 R 11 2 R 10 3 R 10 2 R 11 3 R +10 2 R 11 3 R 10 18 R 11 3 R 10 2 R 10 3 R 11 2 R 10 3 R 11 3 R 10 2 R +10 3 R 11 19 R 10 2 R 11 3 R 10 3 R 10 3 R 11 2 R 10 3 R 10 3 R 11 2 R +10 20 R 11 3 R 10 3 R 10 2 R 11 3 R 10 3 R 10 3 R 11 3 R 10 3 R 10 20 R +11 3 R 10 3 R 10 3 R 11 3 R 10 3 R 10 2 R 11 3 R 10 3 R 10 22 R 11 3 R +10 3 R 10 3 R 11 3 R 10 3 R 10 3 R 11 3 R 10 3 R 10 22 R 10 3 R 11 3 R +10 3 R 10 3 R 11 4 R 10 3 R 10 3 R 10 3 R 11 23 R 10 3 R 10 3 R 10 4 R +11 3 R 10 3 R 10 3 R 10 4 R 11 3 R 10 24 R 10 3 R 10 3 R 11 4 R 10 3 R +10 3 R 10 4 R 11 3 R 10 3 R 10 25 R 10 4 R 10 3 R 11 3 R 10 4 R 10 3 R +10 4 R 11 3 R 10 4 R 10 25 R 10 4 R 10 3 R 11 4 R 10 3 R 10 4 R 10 4 R +10 3 R 10 4 R 11 26 R 10 4 R 10 4 R 10 3 R 10 4 R 10 4 R 11 3 R 10 4 R +10 4 R 10 27 R 10 4 R 10 3 R 11 4 R 10 4 R 10 4 R 10 4 R 10 3 R 10 4 R +10 28 R 10 4 R 11 4 R 10 4 R 10 4 R 10 4 R 10 4 R 10 4 R 10 4 R 10 29 R +11 4 R 10 4 R 10 4 R 10 4 R 10 4 R 10 4 R 10 4 R 10 4 R 10 30 R 10 4 R +10 4 R 11 4 R 10 4 R 10 4 R 10 4 R 10 5 R 10 4 R 10 31 R 10 4 R 10 4 R +10 4 R 10 5 R 10 4 R 10 4 R 10 4 R 10 5 R 10 31 R 11 5 R 10 4 R 10 4 R +10 5 R 10 4 R 10 4 R 10 5 R 10 4 R 10 33 R 10 4 R 10 5 R 10 4 R 10 4 R +10 5 R 10 4 R 10 5 R 10 4 R 10 34 R 10 4 R 10 5 R 10 4 R 10 5 R 10 5 R +10 4 R 10 5 R 10 4 R 10 35 R 10 4 R 10 5 R 10 5 R 10 4 R 10 5 R 10 5 R +10 4 R 10 5 R 9 35 R 10 5 R 10 5 R 10 5 R 10 4 R 10 5 R 10 5 R 10 5 R 10 5 R +10 36 R 10 5 R 10 4 R 10 5 R 10 5 R 10 5 R 10 5 R 10 5 R 9 5 R 10 37 R +10 5 R 10 5 R 10 5 R 10 5 R 10 5 R 10 5 R 10 5 R 10 5 R 10 38 R 9 5 R 10 5 R +10 5 R 10 5 R 10 5 R 10 5 R 10 5 R 10 5 R 10 39 R 9 5 R 10 5 R 10 6 R 10 5 R +10 5 R 10 5 R 10 5 R 9 6 R 10 39 R 10 5 R 10 6 R 10 5 R 10 5 R 10 5 R 9 6 R +10 5 R 10 5 R 10 41 R 10 5 R 10 5 R 9 6 R 10 5 R 10 6 R 10 5 R 10 5 R 10 6 R +9 41 R 10 5 R 10 6 R 10 5 R 10 6 R 9 5 R 10 6 R 10 5 R 10 6 R 10 42 R 10 5 R +9 6 R 10 5 R 10 6 R 10 5 R 9 6 R 10 6 R 10 5 R 10 43 R 10 5 R 9 6 R 10 6 R +10 5 R 10 6 R 9 6 R 10 5 R 10 6 R 10 43 R 10 6 R 9 6 R 10 6 R 10 5 R 10 6 R +9 6 R 10 6 R 10 6 R 10 44 R 9 5 R 10 6 R 10 6 R 10 6 R 9 6 R 10 6 R 10 5 R +9 6 R 10 45 R 10 6 R 10 6 R 9 6 R 10 6 R 10 6 R 10 6 R 9 5 R 10 6 R 10 46 R +9 6 R 10 6 R 10 6 R 9 6 R 10 6 R 10 6 R 10 6 R 9 6 R 10 46 R 10 6 R 9 6 R +10 6 R 10 6 R 9 6 R 10 6 R 10 6 R 9 6 R 10 47 R 10 6 R 9 6 R 10 7 R 10 6 R +9 6 R 10 6 R 10 6 R 9 6 R 10 48 R 10 6 R 9 6 R 10 6 R 10 6 R 9 7 R 10 6 R +10 6 R 9 6 R 10 48 R 10 6 R 9 7 R 10 6 R 10 6 R 9 6 R 10 7 R 9 6 R 10 6 R +10 49 R 9 6 R 10 6 R 10 7 R 9 6 R 10 6 R 9 7 R 10 6 R 10 6 R 9 49 R 10 7 R +9 6 R 10 6 R 10 7 R 9 6 R 10 7 R 9 6 R 10 6 R 10 50 R 9 6 R 10 7 R 9 6 R +10 7 R 10 6 R 9 7 R 10 6 R 9 6 R 10 50 R 9 7 R 10 6 R 10 7 R 9 6 R 10 7 R +9 6 R 10 7 R 9 6 R 10 51 R 10 6 R 9 7 R 10 6 R 9 7 R 10 6 R 9 7 R 10 6 R +9 7 R 10 51 R 9 6 R 10 7 R 10 6 R 9 7 R 10 6 R 9 7 R 10 7 R 9 6 R 10 51 R +9 7 R 10 6 R 9 7 R 10 7 R 9 6 R 10 7 R 9 6 R 10 7 R 9 52 R 10 6 R 9 7 R +10 6 R 9 7 R 10 7 R 9 6 R 10 7 R 9 7 R 10 51 R 9 7 R 10 7 R 9 6 R 10 7 R +9 7 R 10 6 R 9 7 R 10 7 R 9 52 R 10 6 R 9 7 R 10 7 R 9 7 R 10 6 R 9 7 R +10 7 R 9 6 R 10 53 R 9 6 R 10 7 R 9 7 R 10 6 R 9 7 R 9 7 R 10 7 R 9 6 R +10 53 R 9 6 R 10 7 R 9 7 R 10 7 R 9 6 R 10 7 R 9 7 R 9 6 R 10 53 R 9 7 R +10 7 R 9 6 R 10 7 R 9 7 R 10 7 R 9 6 R 9 7 R 10 53 R 9 6 R 10 7 R 9 7 R +10 7 R 9 6 R 9 7 R 10 7 R 9 7 R 10 52 R 9 7 R 9 7 R 10 7 R 9 6 R 10 7 R +9 7 R 9 7 R D 9894 6307 M 10 6 R 9 53 R 10 7 R 9 7 R 9 7 R 10 6 R 9 7 R +10 7 R 9 7 R 9 6 R 10 53 R 9 7 R 10 7 R 9 6 R 9 7 R 10 7 R 9 7 R 10 6 R +9 7 R 9 53 R 10 7 R 9 7 R 9 6 R 10 7 R 9 7 R 10 6 R 9 7 R 9 7 R 10 53 R +9 7 R 9 6 R 10 7 R 9 7 R 9 6 R 10 7 R 9 7 R 9 7 R 10 52 R 9 7 R 10 7 R 9 6 R +9 7 R 10 7 R 9 7 R 9 6 R 10 7 R 9 53 R 9 6 R 10 7 R 9 7 R 9 6 R 10 7 R 9 7 R +9 6 R 10 7 R 9 53 R 9 6 R 10 7 R 9 7 R 9 6 R 10 7 R 9 6 R 9 7 R 9 7 R +10 52 R 9 7 R 9 6 R 10 7 R 9 7 R 9 6 R 10 7 R 9 6 R 9 7 R 10 52 R 9 7 R +9 6 R 9 7 R 10 7 R 9 6 R 9 7 R 10 6 R 9 7 R 9 52 R 10 6 R 9 7 R 9 7 R 9 6 R +10 7 R 9 6 R 9 7 R 10 6 R 9 52 R 9 6 R 9 7 R 10 6 R 9 7 R 9 6 R 9 7 R 10 6 R +9 7 R 9 51 R 10 7 R 9 6 R 9 7 R 9 6 R 10 7 R 9 6 R 9 7 R 9 6 R 10 51 R 9 7 R +9 6 R 9 6 R 10 7 R 9 6 R 9 7 R 9 6 R 10 6 R 9 51 R 9 6 R 9 7 R 10 6 R 9 7 R +9 6 R 9 6 R 10 7 R 9 6 R 9 50 R 9 7 R 10 6 R 9 6 R 9 7 R 9 6 R 10 6 R 9 6 R +9 7 R 9 50 R 10 6 R 9 6 R 9 6 R 9 7 R 9 6 R 10 6 R 9 6 R 9 7 R 9 49 R 10 6 R +9 7 R 9 6 R 9 6 R 9 6 R 10 6 R 9 6 R 9 7 R 9 49 R 9 6 R 10 6 R 9 6 R 9 6 R +9 6 R 9 6 R 10 7 R 9 6 R 9 48 R 9 6 R 9 6 R 10 6 R 9 6 R 9 7 R 9 6 R 9 6 R +10 6 R 9 48 R 9 6 R 9 6 R 9 6 R 10 6 R 9 6 R 9 6 R 9 6 R 9 6 R 10 47 R 9 6 R +9 6 R 9 6 R 9 6 R 9 6 R 10 6 R 9 5 R 9 6 R 9 47 R 9 6 R 10 6 R 9 6 R 9 6 R +9 6 R 9 5 R 9 6 R 10 6 R 9 46 R 9 6 R 9 6 R 9 6 R 9 6 R 10 5 R 9 6 R 9 6 R +9 5 R 9 46 R 9 6 R 9 6 R 10 5 R 9 6 R 9 6 R 9 5 R 9 6 R 9 6 R 10 45 R 9 6 R +9 5 R 9 6 R 9 5 R 9 6 R 9 6 R 10 5 R 9 6 R 9 44 R 9 6 R 9 5 R 9 6 R 9 5 R +10 6 R 9 5 R 9 6 R 9 5 R 9 44 R 9 6 R 9 5 R 10 6 R 9 5 R 9 6 R 9 5 R 9 5 R +9 6 R 9 43 R 9 6 R 10 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 6 R 9 5 R 9 43 R 10 5 R +9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 6 R 10 41 R 9 6 R 9 5 R 9 5 R 9 5 R +9 5 R 9 6 R 9 5 R 9 5 R 10 41 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 6 R 9 5 R +9 5 R 9 40 R 10 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 40 R 9 5 R +10 5 R 9 5 R 9 4 R 9 5 R 9 5 R 9 5 R 9 5 R 9 39 R 9 5 R 9 5 R 9 5 R 10 4 R +9 5 R 9 5 R 9 5 R 9 4 R 9 39 R 9 5 R 9 4 R 9 5 R 9 5 R 9 4 R 9 5 R 10 5 R +9 4 R 9 38 R 9 5 R 9 4 R 9 5 R 9 5 R 9 4 R 9 5 R 9 4 R 9 5 R 9 37 R 9 4 R +10 5 R 9 4 R 9 5 R 9 4 R 9 5 R 9 4 R 9 5 R 9 36 R 9 4 R 9 5 R 9 4 R 9 5 R +9 4 R 9 5 R 10 4 R 9 4 R 9 36 R 9 4 R 9 4 R 9 5 R 9 4 R 9 4 R 9 5 R 9 4 R +9 4 R 9 35 R 9 4 R 9 4 R 9 5 R 9 4 R 10 4 R 9 4 R 9 5 R 9 4 R 9 34 R 9 4 R +9 4 R 9 4 R 9 4 R 9 4 R 9 4 R 9 4 R 9 5 R 9 33 R 9 4 R 9 4 R 9 4 R 9 4 R +9 4 R 10 4 R 9 4 R 9 4 R 9 32 R 9 4 R 9 4 R 9 4 R 9 4 R 9 4 R 9 4 R 9 4 R +9 4 R 9 31 R 9 4 R 9 4 R 9 4 R 9 4 R 9 4 R 9 3 R 9 4 R 9 4 R 9 31 R 10 4 R +9 4 R 9 3 R 9 4 R 9 4 R 9 4 R 9 3 R 9 4 R 9 30 R 9 4 R 9 3 R 9 4 R 9 4 R +9 3 R 9 4 R 9 4 R 9 3 R 9 30 R 9 3 R 9 4 R 9 3 R 9 4 R 9 3 R 9 4 R 9 4 R +9 3 R 9 29 R 9 3 R 10 4 R 9 3 R 9 4 R 9 3 R 9 4 R 9 3 R 9 3 R 9 28 R 9 4 R +9 3 R 9 3 R 9 4 R 9 3 R 9 4 R 9 3 R 9 3 R 9 27 R 9 4 R 9 3 R 9 3 R 9 4 R +9 3 R 9 3 R 9 3 R 9 4 R 9 26 R 9 3 R 9 4 R 9 3 R 9 3 R 9 3 R 9 3 R 9 4 R +9 3 R 9 25 R 9 4 R 10 3 R 9 3 R 9 3 R 9 3 R 9 3 R 9 3 R 9 3 R 9 25 R 9 3 R +9 3 R 9 3 R 9 3 R 9 3 R 9 3 R 9 3 R 9 3 R 9 25 R 9 3 R 9 3 R 9 3 R 9 3 R +9 2 R 9 3 R 9 3 R 9 3 R 9 24 R 9 3 R 9 3 R 9 2 R 9 3 R 9 3 R 9 3 R 9 3 R +9 3 R 9 23 R 9 2 R 9 3 R 9 3 R 9 3 R 9 3 R 9 2 R 9 3 R 9 3 R 9 22 R 9 3 R +9 3 R 9 2 R 9 3 R 10 3 R 9 2 R 9 3 R 9 3 R 9 21 R 9 3 R 9 3 R 9 2 R 9 3 R +9 3 R 9 2 R 9 3 R 9 2 R 9 21 R 9 3 R 9 2 R 9 3 R 9 3 R 9 2 R 9 3 R 9 2 R +9 3 R 9 20 R 9 3 R 9 2 R 9 3 R 9 2 R 9 3 R 9 2 R 9 3 R 9 2 R 9 20 R 9 2 R +9 3 R 9 2 R 9 3 R 9 2 R 9 2 R 9 3 R 9 2 R 9 19 R 9 3 R 9 2 R 9 2 R 9 3 R +9 2 R 9 3 R 9 2 R 9 2 R 9 19 R 9 2 R 9 2 R 9 3 R 9 2 R 10 2 R 9 3 R 9 2 R +9 2 R 9 18 R 9 3 R 9 2 R 9 2 R 9 2 R 9 3 R 9 2 R 9 2 R 9 3 R 9 17 R 9 2 R +9 2 R 9 3 R 9 2 R 9 2 R 9 2 R 9 3 R 9 2 R 9 17 R 9 2 R 9 2 R 9 2 R 9 3 R +9 2 R 9 2 R 9 2 R 9 3 R 9 16 R 9 2 R 9 2 R 9 2 R 9 3 R 9 2 R 9 2 R 9 2 R +9 3 R 9 15 R 9 2 R 9 3 R 10 2 R 9 2 R 9 2 R 9 3 R 9 2 R 9 2 R 9 15 R 9 2 R +9 3 R 9 2 R 9 2 R 9 2 R 9 3 R 9 2 R 9 2 R 9 15 R 9 2 R 9 2 R 9 3 R 9 2 R +9 2 R 9 2 R 9 3 R 9 2 R 9 14 R 9 3 R 9 2 R 9 2 R 9 3 R 9 2 R 9 2 R 9 3 R +10 2 R 9 14 R 9 2 R 9 3 R 9 2 R 9 2 R 9 3 R 9 2 R 9 3 R 9 2 R 9 14 R 9 2 R +9 3 R 9 2 R 9 3 R 9 2 R 9 3 R 9 2 R 9 3 R 9 13 R 9 3 R 9 2 R 9 3 R 9 3 R +10 2 R 9 3 R 9 3 R 9 2 R 9 14 R 9 2 R 9 3 R 9 3 R 9 3 R 9 3 R 9 2 R 9 3 R +9 3 R 9 13 R 9 3 R 9 3 R 9 3 R 9 3 R 9 3 R 9 4 R 9 3 R 10 3 R 9 13 R 9 3 R +9 3 R 9 4 R 9 3 R 9 3 R 9 4 R 9 3 R 9 4 R 9 13 R 9 3 R 9 4 R 9 4 R 9 3 R +9 4 R 9 4 R 9 4 R 10 4 R 9 13 R 9 4 R 9 4 R 9 4 R 9 4 R 9 5 R 9 4 R 9 4 R +9 5 R 9 13 R 9 4 R 9 5 R 9 5 R 9 5 R 10 4 R 9 5 R 9 5 R 9 6 R 9 13 R 9 5 R +9 5 R 9 6 R 9 5 R 9 6 R 9 6 R 9 5 R 9 6 R 9 14 R 10 6 R 9 6 R 9 7 R 9 6 R +9 6 R 9 7 R 9 7 R 9 7 R 9 14 R 9 7 R 9 7 R 9 8 R 10 7 R 9 0 R 9 0 R 9 0 R +9 0 R 9 0 R 9 0 R D 16731 11989 M 9 0 R 9 0 R 9 0 R 9 0 R 9 0 R 10 0 R 9 0 R +9 0 R 9 0 R 9 0 R 9 0 R 9 0 R 9 0 R 9 0 R 9 0 R 10 0 R 9 0 R 9 0 R 9 0 R +9 0 R 9 0 R 9 0 R 9 0 R 9 0 R 9 0 R 10 0 R 9 0 R 9 0 R 9 0 R 9 0 R 9 0 R +9 0 R 9 0 R 9 0 R 10 0 R 9 0 R 9 0 R 9 0 R 9 0 R 9 0 R 9 0 R 3 0 R D +20 setlinewidth L1 2242 1427 M 2 0 R 11 0 R 12 0 R 11 1 R 11 0 R 11 0 R +12 0 R 11 0 R 11 0 R 11 0 R 12 0 R 11 0 R 11 0 R 11 0 R 12 0 R 11 0 R 11 0 R +11 0 R 12 0 R 11 0 R 11 0 R 11 0 R 11 0 R 12 0 R 11 1 R 11 0 R 11 0 R 11 0 R +12 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 12 0 R 11 0 R 11 0 R 11 0 R 11 0 R +11 0 R 12 0 R 11 1 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 12 0 R 11 0 R 11 0 R +11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 12 1 R 11 0 R 11 0 R 11 0 R +11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R +11 1 R 12 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R +11 0 R 11 0 R 11 1 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R +10 0 R 11 0 R 11 0 R 11 1 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R +11 0 R 11 0 R 11 0 R 11 1 R 11 0 R 10 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R +11 0 R 11 0 R 11 1 R 11 0 R 10 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R +10 0 R 11 1 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 10 0 R 11 0 R 11 0 R 11 1 R +11 0 R 11 0 R 10 0 R 11 0 R 11 0 R 11 0 R 11 0 R 10 0 R 11 1 R 11 0 R 11 0 R +11 0 R 10 0 R 11 0 R 11 0 R 11 0 R 10 1 R 11 0 R 11 0 R 11 0 R 10 0 R 11 0 R +11 0 R 11 0 R 10 1 R 11 0 R 11 0 R 11 0 R 10 0 R 11 0 R 11 0 R 11 1 R 10 0 R +11 0 R 11 0 R 10 0 R 11 0 R 11 0 R 11 0 R 10 1 R 11 0 R 11 0 R 10 0 R 11 0 R +11 0 R 10 0 R 11 1 R 11 0 R 10 0 R 11 0 R 11 0 R 10 0 R 11 1 R 11 0 R 10 0 R +11 0 R 11 0 R 10 0 R 11 1 R 11 0 R 10 0 R 11 0 R 11 0 R 10 0 R 11 0 R 10 1 R +11 0 R 11 0 R 10 0 R 11 0 R 11 1 R 10 0 R 11 0 R 10 0 R 11 0 R 11 0 R 10 1 R +11 0 R 10 0 R 11 0 R 10 0 R 11 0 R 11 1 R 10 0 R 11 0 R 10 0 R 11 0 R 10 1 R +11 0 R 11 0 R 10 0 R 11 0 R 10 1 R 11 0 R 10 0 R 11 0 R 10 0 R 11 1 R 10 0 R +11 0 R 10 0 R 11 0 R 10 1 R 11 0 R 10 0 R 11 0 R 10 0 R 11 1 R 10 0 R 11 0 R +10 0 R 11 0 R 10 1 R 11 0 R 10 0 R 11 0 R 10 1 R 11 0 R 10 0 R 11 0 R 10 1 R +11 0 R 10 0 R 11 0 R 10 0 R 10 1 R 11 0 R 10 0 R 11 0 R 10 1 R 11 0 R 10 0 R +10 0 R 11 1 R 10 0 R 11 0 R 10 0 R 11 1 R 10 0 R 10 0 R 11 0 R 10 1 R 11 0 R +10 0 R 10 0 R 11 1 R 10 0 R 11 0 R 10 0 R 10 1 R 11 0 R 10 0 R 10 1 R 11 0 R +10 0 R 11 0 R 10 1 R 10 0 R 11 0 R 10 0 R 10 1 R 11 0 R 10 0 R 10 1 R 11 0 R +10 0 R 10 1 R 11 0 R 10 0 R 10 0 R 11 1 R 10 0 R 10 0 R 11 1 R 10 0 R 10 0 R +11 1 R 10 0 R 10 0 R 11 0 R 10 1 R 10 0 R 10 0 R 11 1 R 10 0 R 10 0 R 11 1 R +10 0 R 10 0 R 10 1 R 11 0 R 10 0 R 10 1 R 10 0 R 11 0 R 10 1 R 10 0 R 10 0 R +11 1 R 10 0 R 10 1 R 10 0 R 11 0 R 10 1 R 10 0 R 10 0 R 11 1 R 10 0 R 10 0 R +10 1 R 10 0 R 11 1 R 10 0 R 10 0 R 10 1 R 11 0 R 10 0 R 10 1 R 10 0 R 10 1 R +11 0 R 10 0 R 10 1 R 10 0 R 10 1 R 10 0 R 11 0 R 10 1 R 10 0 R 10 1 R 10 0 R +10 0 R 11 1 R 10 0 R 10 1 R 10 0 R 10 0 R 10 1 R 11 0 R 10 1 R 10 0 R 10 1 R +10 0 R 10 0 R 10 1 R 10 0 R 11 1 R 10 0 R 10 1 R 10 0 R 10 1 R 10 0 R 10 1 R +10 0 R 11 0 R 10 1 R 10 0 R 10 1 R 10 0 R 10 1 R 10 0 R 10 1 R 10 0 R 10 1 R +10 0 R 11 1 R 10 0 R 10 1 R 10 0 R 10 1 R 10 0 R 10 1 R 10 0 R 10 1 R 10 0 R +10 1 R 10 0 R 10 1 R 10 0 R 10 1 R 10 0 R 11 1 R 10 0 R 10 1 R 10 0 R 10 1 R +10 1 R 10 0 R 10 1 R 10 0 R 10 1 R 10 0 R 10 1 R 10 0 R 10 1 R 10 1 R 10 0 R +10 1 R 10 0 R 10 1 R 10 0 R 10 1 R 10 1 R 10 0 R 10 1 R 10 0 R 10 1 R 10 1 R +10 0 R 10 1 R 10 0 R 10 1 R 10 1 R 10 0 R 10 1 R 10 0 R 9 1 R 10 1 R 10 0 R +10 1 R 10 1 R 10 0 R 10 1 R 10 0 R 10 1 R 10 1 R 10 0 R 10 1 R 10 1 R 10 0 R +10 1 R 10 1 R 10 0 R 9 1 R 10 1 R 10 0 R 10 1 R 10 1 R 10 1 R 10 0 R 10 1 R +10 1 R 10 0 R 10 1 R 9 1 R 10 0 R 10 1 R 10 1 R 10 1 R 10 0 R 10 1 R 10 1 R +10 1 R 9 0 R 10 1 R 10 1 R 10 1 R 10 0 R 10 1 R 10 1 R 9 1 R 10 0 R 10 1 R +10 1 R 10 1 R 10 0 R 10 1 R 9 1 R 10 1 R 10 1 R 10 0 R 10 1 R 10 1 R 9 1 R +10 1 R 10 0 R 10 1 R 10 1 R 10 1 R 9 1 R 10 1 R 10 0 R 10 1 R 10 1 R 9 1 R +10 1 R 10 1 R 10 1 R 10 0 R 10 1 R 9 1 R 10 1 R 10 1 R 10 1 R 9 1 R 10 1 R +10 1 R 10 0 R 10 1 R 9 1 R 10 1 R 10 1 R 10 1 R 9 1 R 10 1 R 10 1 R 10 1 R +10 1 R 9 1 R 10 1 R 10 1 R 10 1 R 9 1 R 10 1 R 10 0 R 10 1 R 9 1 R 10 1 R +10 1 R 10 1 R 9 1 R 10 1 R 10 1 R 9 1 R 10 1 R 10 2 R 10 1 R 9 1 R 10 1 R +10 1 R 10 1 R 9 1 R 10 1 R 10 1 R 9 1 R 10 1 R 10 1 R 9 1 R 10 1 R 10 1 R +10 1 R 9 1 R 10 2 R 10 1 R 9 1 R 10 1 R 10 1 R 9 1 R 10 1 R 10 1 R 9 2 R +10 1 R 10 1 R 9 1 R 10 1 R 10 1 R 9 2 R 10 1 R 10 1 R 9 1 R 10 1 R 10 1 R +9 2 R 10 1 R 10 1 R 9 1 R 10 1 R 10 2 R 9 1 R 10 1 R 10 1 R 9 2 R 10 1 R +10 1 R 9 1 R 10 2 R 9 1 R 10 1 R 10 2 R 9 1 R 10 1 R 10 1 R 9 2 R 10 1 R +9 1 R 10 2 R 10 1 R 9 1 R 10 2 R 9 1 R 10 1 R 10 2 R 9 1 R 10 1 R 9 2 R +10 1 R 10 2 R 9 1 R 10 1 R 9 2 R 10 1 R 10 2 R 9 1 R 10 1 R 9 2 R 10 1 R +9 2 R 10 1 R 10 2 R 9 1 R 10 2 R 9 1 R 10 1 R 9 2 R 10 1 R 10 2 R 9 1 R +10 2 R 9 1 R 10 2 R 9 2 R 10 1 R 9 2 R 10 1 R 9 2 R 10 1 R 10 2 R 9 1 R +10 2 R 9 2 R 10 1 R 9 2 R 10 1 R 9 2 R 10 2 R 9 1 R 10 2 R 9 1 R 10 2 R +9 2 R 10 1 R 9 2 R 10 2 R 9 1 R 10 2 R 9 2 R 10 1 R 9 2 R 10 2 R 9 2 R +10 1 R 9 2 R 10 2 R 9 2 R 10 1 R 9 2 R 10 2 R 9 2 R 10 1 R 9 2 R 10 2 R +9 2 R 10 2 R 9 1 R 10 2 R 9 2 R 10 2 R 9 2 R 10 2 R 9 1 R 10 2 R 9 2 R +10 2 R 9 2 R 9 2 R 10 2 R 9 2 R 10 2 R 9 1 R 10 2 R 9 2 R 10 2 R 9 2 R +10 2 R 9 2 R 9 2 R 10 2 R 9 2 R 10 2 R 9 2 R 10 2 R 9 2 R 10 2 R 9 2 R 9 2 R +10 2 R 9 2 R 10 3 R 9 2 R 10 2 R 9 2 R 9 2 R 10 2 R 9 2 R 10 2 R 9 2 R 9 3 R +10 2 R 9 2 R 10 2 R 9 2 R 9 2 R D 9894 1912 M 10 3 R 9 2 R 10 2 R 9 2 R +9 3 R 10 2 R 9 2 R 10 2 R 9 3 R 9 2 R 10 2 R 9 2 R 10 3 R 9 2 R 9 2 R 10 3 R +9 2 R 10 2 R 9 3 R 9 2 R 10 2 R 9 3 R 9 2 R 10 3 R 9 2 R 10 2 R 9 3 R 9 2 R +10 3 R 9 2 R 9 3 R 10 2 R 9 3 R 9 2 R 10 3 R 9 2 R 9 3 R 10 2 R 9 3 R 10 2 R +9 3 R 9 2 R 10 3 R 9 3 R 9 2 R 10 3 R 9 2 R 9 3 R 10 3 R 9 2 R 9 3 R 10 3 R +9 2 R 9 3 R 10 3 R 9 2 R 9 3 R 10 3 R 9 3 R 9 2 R 10 3 R 9 3 R 9 3 R 9 2 R +10 3 R 9 3 R 9 3 R 10 3 R 9 3 R 9 2 R 10 3 R 9 3 R 9 3 R 10 3 R 9 3 R 9 3 R +9 3 R 10 3 R 9 3 R 9 3 R 10 2 R 9 3 R 9 3 R 10 3 R 9 3 R 9 3 R 9 4 R 10 3 R +9 3 R 9 3 R 10 3 R 9 3 R 9 3 R 9 3 R 10 3 R 9 3 R 9 4 R 9 3 R 10 3 R 9 3 R +9 3 R 10 3 R 9 4 R 9 3 R 9 3 R 10 3 R 9 4 R 9 3 R 9 3 R 10 4 R 9 3 R 9 3 R +9 3 R 10 4 R 9 3 R 9 4 R 9 3 R 10 3 R 9 4 R 9 3 R 9 4 R 10 3 R 9 4 R 9 3 R +9 3 R 10 4 R 9 3 R 9 4 R 9 4 R 10 3 R 9 4 R 9 3 R 9 4 R 10 3 R 9 4 R 9 4 R +9 3 R 10 4 R 9 4 R 9 3 R 9 4 R 9 4 R 10 3 R 9 4 R 9 4 R 9 4 R 10 3 R 9 4 R +9 4 R 9 4 R 9 4 R 10 3 R 9 4 R 9 4 R 9 4 R 9 4 R 10 4 R 9 4 R 9 4 R 9 4 R +9 4 R 10 3 R 9 4 R 9 4 R 9 4 R 9 5 R 10 4 R 9 4 R 9 4 R 9 4 R 9 4 R 10 4 R +9 4 R 9 4 R 9 4 R 9 5 R 10 4 R 9 4 R 9 4 R 9 4 R 9 5 R 10 4 R 9 4 R 9 4 R +9 5 R 9 4 R 9 4 R 10 5 R 9 4 R 9 5 R 9 4 R 9 4 R 10 5 R 9 4 R 9 5 R 9 4 R +9 5 R 9 4 R 10 5 R 9 4 R 9 5 R 9 4 R 9 5 R 9 4 R 10 5 R 9 5 R 9 4 R 9 5 R +9 5 R 9 4 R 9 5 R 10 5 R 9 4 R 9 5 R 9 5 R 9 5 R 9 5 R 10 4 R 9 5 R 9 5 R +9 5 R 9 5 R 9 5 R 9 5 R 10 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 10 5 R +9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 10 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 6 R +9 5 R 9 5 R 10 6 R 9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 6 R 9 5 R 10 6 R 9 5 R +9 6 R 9 5 R 9 6 R 9 5 R 9 6 R 9 5 R 10 6 R 9 6 R 9 5 R 9 6 R 9 6 R 9 5 R +9 6 R 9 6 R 9 6 R 10 5 R 9 6 R 9 6 R 9 6 R 9 6 R 9 5 R 9 6 R 9 6 R 9 6 R +9 6 R 10 6 R 9 6 R 9 6 R 9 6 R 9 6 R 9 6 R 9 6 R 9 6 R 9 7 R 9 6 R 10 6 R +9 6 R 9 6 R 9 7 R 9 6 R 9 6 R 9 6 R 9 7 R 9 6 R 9 6 R 9 7 R 10 6 R 9 7 R +9 6 R 9 6 R 9 7 R 9 6 R 9 7 R 9 6 R 9 7 R 9 7 R 9 6 R 9 7 R 10 6 R 9 7 R +9 7 R 9 7 R 9 6 R 9 7 R 9 7 R 9 7 R 9 6 R 9 7 R 9 7 R 9 7 R 9 7 R 10 7 R +9 7 R 9 7 R 9 7 R 9 7 R 9 7 R 9 7 R 9 7 R 9 7 R 9 7 R 9 7 R 9 8 R 9 7 R +9 7 R 10 7 R 9 8 R 9 7 R 9 7 R 9 8 R 9 7 R 9 7 R 9 8 R 9 7 R 9 8 R 9 7 R +9 8 R 9 7 R 9 8 R 9 7 R 9 8 R 10 7 R 9 8 R 9 8 R 9 7 R 9 8 R 9 8 R 9 8 R +9 8 R 9 7 R 9 8 R 9 8 R 9 8 R 9 8 R 9 8 R 9 8 R 9 8 R 9 8 R 9 8 R 9 8 R +10 8 R 9 8 R 9 8 R 9 8 R 9 9 R 9 8 R 9 8 R 9 8 R 9 9 R 9 8 R 9 8 R 9 9 R +9 8 R 9 9 R 9 8 R 9 9 R 9 8 R 9 9 R 9 8 R 9 9 R 9 8 R 9 9 R 10 9 R 9 8 R +9 9 R 9 9 R 9 9 R 9 9 R 9 8 R 9 9 R 9 9 R 9 9 R 9 9 R 9 9 R 9 9 R 9 9 R +9 9 R 9 9 R 9 9 R 9 9 R 9 10 R 9 9 R 9 9 R 9 9 R 9 9 R 9 10 R 9 9 R 9 9 R +9 10 R 9 9 R 10 10 R 9 9 R 9 10 R 9 9 R 9 10 R 9 9 R 9 10 R 9 10 R 9 9 R +9 10 R 9 10 R 9 10 R 9 9 R 9 10 R 9 10 R 9 10 R 9 10 R 9 10 R 9 10 R 9 10 R +9 10 R 9 10 R 9 10 R 9 10 R 9 11 R 9 10 R 9 10 R 9 10 R 9 11 R 9 10 R 9 10 R +9 11 R 9 10 R 9 10 R 9 11 R 9 10 R 10 11 R 9 11 R 9 10 R 9 11 R 9 11 R +9 10 R 9 11 R 9 11 R 9 11 R 9 10 R 9 11 R 9 11 R 9 11 R 9 11 R 9 11 R 9 11 R +9 11 R 9 11 R 9 11 R 9 12 R 9 11 R 9 11 R 9 11 R 9 12 R 9 11 R 9 11 R 9 12 R +9 11 R 9 12 R 9 11 R 9 12 R 9 11 R 9 12 R 9 11 R 9 12 R 9 12 R 9 12 R 9 11 R +9 12 R 9 12 R 9 12 R 9 12 R 9 12 R 9 12 R 9 12 R 9 12 R 9 12 R 9 12 R +10 12 R 9 13 R 9 12 R 9 12 R 9 12 R 9 13 R 9 12 R 9 13 R 9 12 R 9 13 R +9 12 R 9 13 R 9 12 R 9 13 R 9 13 R 9 12 R 9 13 R 9 13 R 9 13 R 9 13 R 9 13 R +9 13 R 9 13 R 9 13 R 9 13 R 9 13 R 9 13 R 9 13 R 9 13 R 9 14 R 9 13 R 9 13 R +9 14 R 9 13 R 9 14 R 9 13 R 9 14 R 9 13 R 9 14 R 9 13 R 9 14 R 9 14 R 9 14 R +9 14 R 9 13 R 9 14 R 9 14 R 9 14 R 9 14 R 9 14 R 9 15 R 9 14 R 9 14 R 9 14 R +10 14 R 9 15 R 9 14 R 9 15 R 9 14 R 9 15 R 9 14 R 9 15 R 9 14 R 9 15 R +9 15 R 9 14 R 9 15 R 9 15 R 9 15 R 9 15 R 9 15 R 9 15 R 9 15 R 9 15 R 9 15 R +9 16 R 9 15 R 9 15 R 9 15 R 9 16 R 9 15 R 9 16 R 9 15 R 9 16 R 9 16 R 9 15 R +9 16 R 9 16 R 9 16 R 9 15 R 9 16 R 9 16 R 9 16 R 9 16 R 9 17 R 9 16 R 9 16 R +10 16 R 9 17 R 9 16 R 9 16 R 9 17 R 9 16 R 9 17 R 9 17 R 9 16 R 9 17 R +9 17 R 9 17 R 9 16 R 9 17 R 9 17 R 9 17 R 9 18 R 9 17 R 9 17 R 9 17 R 9 17 R +9 18 R 9 17 R 9 18 R 9 17 R 9 18 R 9 18 R 9 17 R 9 18 R 9 18 R 9 18 R 9 18 R +10 18 R 9 18 R 9 18 R 9 18 R 9 18 R 9 19 R 9 18 R 9 18 R 9 19 R 9 19 R +9 18 R 9 19 R 9 19 R 9 18 R 9 19 R 9 19 R 9 19 R 9 19 R 9 19 R 9 20 R 9 19 R +9 19 R 9 20 R 9 19 R 10 20 R 9 19 R 9 20 R 9 20 R 9 20 R 9 20 R 9 20 R +9 20 R 9 20 R 9 20 R 9 20 R 9 21 R 9 20 R 9 21 R 9 20 R 9 21 R 9 21 R 9 20 R +9 21 R 9 21 R 9 22 R 10 21 R 9 21 R 9 21 R 9 22 R 9 21 R 9 22 R 9 22 R +9 21 R 9 22 R 9 22 R 9 22 R 9 23 R 9 22 R 9 22 R 9 23 R 9 22 R 9 23 R 9 23 R +10 23 R 9 23 R 9 23 R 9 23 R 9 23 R 9 24 R 9 23 R 9 24 R 9 24 R 9 23 R +9 24 R 9 25 R 9 24 R 9 24 R 9 25 R 10 24 R 9 25 R 9 25 R 9 25 R 9 25 R +9 25 R 9 26 R 9 25 R 9 26 R 9 26 R 9 26 R 9 26 R 9 26 R 9 26 R 10 27 R +9 27 R 9 27 R 9 27 R 9 27 R 9 27 R 9 28 R 9 28 R 9 28 R 9 28 R 9 28 R 9 28 R +10 29 R 9 29 R 9 29 R 9 29 R 9 30 R 9 29 R 9 30 R D 16731 9419 M 9 30 R +9 31 R 9 30 R 9 31 R 9 31 R 10 31 R 9 31 R 9 32 R 9 32 R 9 32 R 9 32 R +9 33 R 9 33 R 9 33 R 9 34 R 10 33 R 9 34 R 9 35 R 9 34 R 9 35 R 9 36 R +9 35 R 9 36 R 9 36 R 9 37 R 10 36 R 9 38 R 9 37 R 9 38 R 9 38 R 9 39 R +9 39 R 9 40 R 9 39 R 10 41 R 9 40 R 9 41 R 9 42 R 9 42 R 9 42 R 9 43 R +3 14 R D L2 2242 1422 M 2 0 R 11 0 R 12 0 R 11 0 R 11 0 R 11 0 R 12 0 R +11 0 R 11 0 R 11 0 R 12 0 R 11 0 R 11 0 R 11 0 R 12 0 R 11 0 R 11 0 R 11 0 R +12 0 R 11 0 R 11 0 R 11 0 R 11 0 R 12 0 R 11 0 R 11 0 R 11 0 R 11 0 R 12 0 R +11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 12 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R +12 0 R 11 1 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 12 0 R 11 0 R 11 0 R 11 0 R +11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 12 0 R 11 0 R 11 0 R 11 0 R 11 0 R +11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R +12 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R +11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 10 0 R +11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R +11 0 R 11 0 R 11 0 R 11 0 R 10 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R +11 0 R 11 0 R 11 0 R 10 0 R 11 0 R 11 1 R 11 0 R 11 0 R 11 0 R 11 0 R 10 0 R +11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 11 0 R 10 0 R 11 0 R 11 0 R 11 0 R 11 0 R +11 0 R 10 0 R 11 0 R 11 0 R 11 0 R 11 0 R 10 0 R 11 0 R 11 0 R 11 0 R 11 0 R +10 0 R 11 0 R 11 0 R 11 0 R 10 0 R 11 0 R 11 0 R 11 0 R 10 0 R 11 1 R 11 0 R +11 0 R 10 0 R 11 0 R 11 0 R 11 0 R 10 0 R 11 0 R 11 0 R 11 0 R 10 0 R 11 0 R +11 0 R 10 0 R 11 0 R 11 0 R 11 0 R 10 0 R 11 0 R 11 0 R 10 0 R 11 0 R 11 0 R +10 0 R 11 0 R 11 1 R 10 0 R 11 0 R 11 0 R 10 0 R 11 0 R 11 0 R 10 0 R 11 0 R +11 0 R 10 0 R 11 0 R 11 0 R 10 0 R 11 0 R 11 0 R 10 0 R 11 0 R 10 1 R 11 0 R +11 0 R 10 0 R 11 0 R 11 0 R 10 0 R 11 0 R 10 0 R 11 0 R 11 0 R 10 0 R 11 0 R +10 0 R 11 0 R 10 0 R 11 0 R 11 0 R 10 1 R 11 0 R 10 0 R 11 0 R 10 0 R 11 0 R +11 0 R 10 0 R 11 0 R 10 0 R 11 0 R 10 0 R 11 1 R 10 0 R 11 0 R 10 0 R 11 0 R +10 0 R 11 0 R 10 0 R 11 0 R 10 0 R 11 0 R 10 0 R 11 0 R 10 0 R 11 0 R 10 1 R +11 0 R 10 0 R 11 0 R 10 0 R 11 0 R 10 0 R 11 0 R 10 0 R 11 1 R 10 0 R 11 0 R +10 0 R 11 0 R 10 0 R 10 0 R 11 0 R 10 0 R 11 1 R 10 0 R 11 0 R 10 0 R 10 0 R +11 0 R 10 0 R 11 0 R 10 0 R 11 1 R 10 0 R 10 0 R 11 0 R 10 0 R 11 0 R 10 0 R +10 1 R 11 0 R 10 0 R 11 0 R 10 1 R 10 0 R 11 0 R 10 0 R 10 0 R 11 0 R 10 0 R +11 1 R 10 0 R 10 0 R 11 0 R 10 0 R 10 0 R 11 0 R 10 0 R 10 0 R 11 1 R 10 0 R +10 0 R 11 1 R 10 0 R 10 0 R 11 0 R 10 0 R 10 0 R 11 1 R 10 0 R 10 0 R 11 0 R +10 0 R 10 0 R 11 1 R 10 0 R 10 0 R 10 1 R 11 0 R 10 0 R 10 0 R 11 0 R 10 0 R +10 0 R 10 1 R 11 0 R 10 1 R 10 0 R 10 0 R 11 0 R 10 0 R 10 0 R 10 0 R 11 1 R +10 0 R 10 1 R 10 0 R 11 0 R 10 0 R 10 1 R 10 0 R 11 0 R 10 0 R 10 0 R 10 1 R +10 1 R 11 0 R 10 0 R 10 0 R 10 0 R 11 0 R 10 0 R 10 0 R 10 2 R 10 0 R 11 0 R +10 0 R 10 1 R 10 0 R 10 0 R 10 0 R 11 0 R 10 2 R 10 0 R 10 0 R 10 0 R 10 1 R +11 0 R 10 0 R 10 0 R 10 0 R 10 2 R 10 0 R 11 0 R 10 1 R 10 0 R 10 0 R 10 0 R +10 0 R 10 0 R 10 2 R 11 1 R 10 0 R 10 0 R 10 0 R 10 0 R 10 0 R 10 1 R 10 0 R +11 2 R 10 0 R 10 0 R 10 1 R 10 0 R 10 0 R 10 0 R 10 0 R 10 1 R 10 2 R 10 0 R +11 0 R 10 1 R 10 0 R 10 0 R 10 0 R 10 0 R 10 1 R 10 2 R 10 1 R 10 0 R 10 0 R +10 0 R 10 0 R 10 1 R 10 0 R 10 0 R 11 3 R 10 0 R 10 0 R 10 1 R 10 0 R 10 0 R +10 0 R 10 1 R 10 0 R 10 3 R 10 0 R 10 0 R 10 1 R 10 0 R 10 0 R 10 0 R 10 1 R +10 0 R 10 3 R 10 1 R 10 0 R 10 0 R 10 0 R 10 1 R 10 0 R 10 0 R 10 1 R 10 3 R +10 0 R 10 1 R 10 0 R 10 0 R 10 1 R 10 0 R 10 0 R 9 0 R 10 4 R 10 1 R 10 0 R +10 0 R 10 1 R 10 0 R 10 0 R 10 1 R 10 0 R 10 4 R 10 0 R 10 1 R 10 0 R 10 0 R +10 1 R 10 0 R 9 0 R 10 1 R 10 4 R 10 1 R 10 0 R 10 0 R 10 1 R 10 0 R 10 1 R +10 0 R 10 0 R 9 5 R 10 0 R 10 1 R 10 0 R 10 1 R 10 0 R 10 0 R 10 1 R 10 0 R +9 5 R 10 1 R 10 0 R 10 1 R 10 0 R 10 0 R 10 1 R 9 0 R 10 1 R 10 5 R 10 1 R +10 0 R 10 1 R 10 0 R 9 0 R 10 1 R 10 0 R 10 1 R 10 6 R 10 0 R 9 1 R 10 0 R +10 1 R 10 0 R 10 1 R 10 0 R 9 0 R 10 7 R 10 0 R 10 1 R 10 0 R 9 1 R 10 0 R +10 1 R 10 0 R 10 1 R 10 7 R 9 0 R 10 1 R 10 0 R 10 1 R 9 0 R 10 1 R 10 0 R +10 1 R 10 7 R 9 1 R 10 0 R 10 1 R 10 0 R 9 1 R 10 0 R 10 1 R 10 1 R 10 7 R +9 1 R 10 1 R 10 0 R 10 1 R 9 0 R 10 1 R 10 1 R 10 0 R 9 8 R 10 1 R 10 1 R +10 0 R 9 1 R 10 0 R 10 1 R 9 1 R 10 0 R 10 9 R 10 1 R 9 0 R 10 1 R 10 1 R +10 0 R 9 1 R 10 1 R 10 1 R 9 9 R 10 0 R 10 1 R 9 1 R 10 1 R 10 0 R 10 1 R +9 1 R 10 1 R 10 9 R 9 1 R 10 1 R 10 1 R 9 0 R 10 1 R 10 1 R 9 1 R 10 0 R +10 11 R 9 0 R 10 1 R 10 1 R 9 1 R 10 1 R 10 0 R 9 1 R 10 1 R 10 11 R 9 1 R +10 1 R 10 1 R 9 0 R 10 1 R 10 1 R 9 1 R 10 1 R 10 11 R 9 1 R 10 1 R 10 1 R +9 1 R 10 1 R 9 1 R 10 1 R 10 1 R 9 12 R 10 1 R 10 1 R 9 1 R 10 1 R 9 0 R +10 1 R 10 1 R 9 1 R 10 13 R 9 1 R 10 1 R 10 1 R 9 1 R 10 1 R 9 1 R 10 1 R +10 1 R 9 14 R 10 1 R 9 1 R 10 1 R 10 1 R 9 1 R 10 1 R 9 1 R 10 1 R 9 14 R +10 1 R 10 1 R 9 2 R 10 1 R 9 1 R 10 1 R 9 1 R 10 1 R 10 15 R 9 1 R 10 1 R +9 2 R 10 1 R 9 1 R 10 1 R 9 1 R 10 1 R 9 16 R 10 1 R 10 2 R 9 1 R 10 1 R +9 1 R 10 1 R 9 2 R 10 1 R 9 16 R 10 2 R 9 1 R 10 1 R 9 1 R 10 2 R 9 1 R +10 1 R 9 2 R 10 17 R 9 1 R 10 2 R 9 1 R 10 1 R 9 2 R 10 1 R 9 1 R 10 2 R +9 18 R 10 1 R 9 1 R 10 2 R 9 1 R 10 2 R 9 1 R 10 2 R 9 1 R 10 19 R 9 1 R +10 2 R 9 1 R 10 2 R 9 1 R 10 2 R 9 1 R 10 2 R 9 19 R 10 2 R 9 1 R 10 2 R +9 2 R 9 1 R 10 2 R 9 1 R 10 2 R 9 20 R 10 2 R 9 2 R 10 1 R 9 2 R 10 1 R +9 2 R 9 2 R 10 1 R 9 22 R 10 1 R 9 2 R 10 2 R 9 1 R 10 2 R 9 2 R 9 1 R +10 2 R 9 23 R 10 1 R 9 2 R 10 2 R 9 2 R 9 1 R 10 2 R 9 2 R 10 2 R 9 23 R +9 2 R 10 2 R 9 1 R 10 2 R 9 2 R 9 2 R D 9894 2129 M 10 2 R 9 2 R 10 24 R +9 2 R 9 2 R 10 1 R 9 2 R 10 2 R 9 2 R 9 2 R 10 2 R 9 25 R 10 2 R 9 2 R 9 2 R +10 2 R 9 2 R 10 2 R 9 2 R 9 2 R 10 26 R 9 2 R 9 2 R 10 2 R 9 2 R 10 2 R +9 3 R 9 2 R 10 2 R 9 27 R 9 2 R 10 2 R 9 2 R 9 2 R 10 2 R 9 3 R 9 2 R 10 2 R +9 28 R 10 2 R 9 2 R 9 3 R 10 2 R 9 2 R 9 2 R 10 3 R 9 2 R 9 29 R 10 2 R +9 3 R 9 2 R 10 2 R 9 2 R 9 3 R 10 2 R 9 2 R 9 31 R 10 2 R 9 2 R 9 3 R 10 2 R +9 2 R 9 3 R 9 2 R 10 3 R 9 31 R 9 2 R 10 3 R 9 2 R 9 3 R 10 2 R 9 3 R 9 2 R +10 2 R 9 33 R 9 2 R 9 3 R 10 2 R 9 3 R 9 2 R 10 3 R 9 3 R 9 2 R 10 33 R +9 3 R 9 3 R 9 2 R 10 3 R 9 3 R 9 2 R 10 3 R 9 2 R 9 35 R 9 3 R 10 2 R 9 3 R +9 3 R 9 2 R 10 3 R 9 3 R 9 3 R 10 35 R 9 3 R 9 3 R 9 2 R 10 3 R 9 3 R 9 3 R +9 3 R 10 2 R 9 37 R 9 3 R 9 3 R 10 2 R 9 3 R 9 3 R 9 3 R 10 3 R 9 3 R 9 37 R +9 3 R 10 3 R 9 3 R 9 3 R 9 3 R 10 3 R 9 3 R 9 3 R 9 39 R 10 3 R 9 3 R 9 3 R +9 3 R 10 3 R 9 3 R 9 3 R 9 3 R 10 40 R 9 3 R 9 3 R 9 3 R 9 3 R 10 4 R 9 3 R +9 3 R 9 3 R 10 41 R 9 3 R 9 3 R 9 3 R 9 4 R 10 3 R 9 3 R 9 3 R 9 4 R 9 41 R +10 4 R 9 3 R 9 3 R 9 4 R 9 3 R 10 3 R 9 4 R 9 3 R 9 43 R 9 3 R 10 3 R 9 4 R +9 3 R 9 4 R 9 3 R 10 3 R 9 4 R 9 44 R 9 3 R 9 4 R 10 3 R 9 4 R 9 3 R 9 4 R +9 3 R 10 4 R 9 45 R 9 3 R 9 4 R 9 3 R 9 4 R 10 3 R 9 4 R 9 3 R 9 4 R 9 46 R +10 4 R 9 3 R 9 4 R 9 4 R 9 3 R 9 4 R 10 3 R 9 4 R 9 47 R 9 4 R 9 4 R 9 3 R +10 4 R 9 4 R 9 3 R 9 4 R 9 4 R 9 48 R 9 4 R 10 3 R 9 4 R 9 4 R 9 4 R 9 4 R +9 4 R 10 3 R 9 49 R 9 4 R 9 4 R 9 4 R 9 4 R 9 4 R 10 4 R 9 3 R 9 4 R 9 50 R +9 4 R 9 4 R 9 4 R 10 4 R 9 4 R 9 4 R 9 4 R 9 4 R 9 51 R 9 4 R 10 4 R 9 4 R +9 4 R 9 4 R 9 4 R 9 4 R 9 4 R 9 52 R 10 4 R 9 4 R 9 4 R 9 4 R 9 5 R 9 4 R +9 4 R 9 4 R 10 53 R 9 4 R 9 4 R 9 4 R 9 4 R 9 5 R 9 4 R 9 4 R 10 4 R 9 54 R +9 4 R 9 4 R 9 5 R 9 4 R 9 4 R 9 4 R 9 5 R 10 4 R 9 54 R 9 5 R 9 4 R 9 4 R +9 5 R 9 4 R 9 4 R 9 5 R 9 4 R 10 55 R 9 5 R 9 4 R 9 4 R 9 5 R 9 4 R 9 5 R +9 4 R 9 4 R 9 57 R 10 4 R 9 4 R 9 5 R 9 4 R 9 5 R 9 4 R 9 5 R 9 4 R 9 57 R +9 5 R 9 4 R 10 5 R 9 4 R 9 5 R 9 4 R 9 5 R 9 4 R 9 58 R 9 5 R 9 4 R 9 5 R +9 4 R 9 5 R 10 4 R 9 5 R 9 5 R 9 58 R 9 5 R 9 4 R 9 5 R 9 5 R 9 4 R 9 5 R +9 5 R 9 4 R 9 59 R 10 5 R 9 5 R 9 4 R 9 5 R 9 5 R 9 4 R 9 5 R 9 5 R 9 59 R +9 5 R 9 5 R 9 5 R 9 5 R 9 4 R 10 5 R 9 5 R 9 5 R 9 60 R 9 5 R 9 4 R 9 5 R +9 5 R 9 5 R 9 5 R 9 5 R 9 4 R 9 61 R 9 5 R 9 5 R 9 5 R 10 5 R 9 4 R 9 5 R +9 5 R 9 5 R 9 61 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 62 R +9 5 R 9 4 R 9 5 R 9 5 R 10 5 R 9 5 R 9 5 R 9 5 R 9 63 R 9 5 R 9 5 R 9 5 R +9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 62 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R +9 5 R 9 6 R 10 63 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 64 R +9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 64 R 9 5 R 9 6 R 9 5 R +9 5 R 9 5 R 9 5 R 9 5 R 9 5 R 9 64 R 10 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 5 R +9 5 R 9 6 R 9 64 R 9 5 R 9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 5 R 9 65 R +9 5 R 9 5 R 9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 65 R 9 5 R 9 5 R 9 5 R +9 6 R 9 5 R 9 5 R 9 5 R 9 5 R 9 65 R 10 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 6 R +9 5 R 9 5 R 9 65 R 9 5 R 9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 6 R 9 64 R +9 6 R 9 5 R 9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 65 R 9 5 R 9 6 R 9 5 R +9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 65 R 9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 5 R +9 6 R 9 5 R 9 64 R 9 6 R 9 5 R 9 5 R 10 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 65 R +9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 6 R 9 5 R 9 64 R 9 5 R 9 6 R 9 5 R +9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 64 R 9 6 R 9 5 R 9 5 R 9 5 R 9 5 R 9 6 R +9 5 R 9 5 R 9 64 R 9 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 5 R 9 6 R 9 5 R 9 63 R +9 6 R 9 5 R 9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 64 R 9 5 R 9 5 R 9 5 R +10 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 63 R 9 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 6 R +9 5 R 9 5 R 9 62 R 9 6 R 9 5 R 9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 62 R +9 6 R 9 5 R 9 5 R 9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 62 R 9 5 R 9 5 R 9 5 R +9 6 R 9 5 R 9 5 R 9 5 R 9 5 R 9 62 R 9 5 R 10 5 R 9 5 R 9 6 R 9 5 R 9 5 R +9 5 R 9 5 R 9 61 R 9 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 60 R +9 6 R 9 5 R 9 5 R 9 6 R 9 5 R 9 5 R 9 5 R 9 6 R 9 59 R 9 6 R 9 5 R 9 5 R +9 6 R 9 5 R 9 5 R 10 6 R 9 5 R 9 59 R 9 6 R 9 5 R 9 5 R 9 6 R 9 5 R 9 5 R +9 6 R 9 5 R 9 59 R 9 5 R 9 6 R 9 5 R 9 6 R 9 5 R 9 6 R 9 5 R 9 6 R 9 58 R +9 5 R 9 6 R 9 5 R 10 6 R 9 5 R 9 6 R 9 6 R 9 5 R 9 58 R 9 6 R 9 5 R 9 6 R +9 6 R 9 5 R 9 6 R 9 6 R 9 6 R 9 57 R 9 6 R 9 6 R 9 5 R 9 6 R 9 6 R 9 6 R +10 6 R 9 6 R 9 57 R 9 6 R 9 6 R 9 6 R 9 6 R 9 6 R 9 6 R 9 6 R 9 7 R 9 56 R +9 6 R 9 7 R 9 6 R 9 6 R 9 7 R 9 6 R 10 7 R 9 6 R 9 56 R 9 7 R 9 7 R 9 6 R +9 7 R 9 7 R 9 7 R 9 6 R 9 7 R 9 56 R 9 7 R 9 7 R 9 8 R 10 7 R 9 7 R 9 7 R +9 7 R 9 8 R 9 56 R 9 7 R 9 8 R 9 8 R 9 7 R 9 8 R 9 8 R 9 8 R 9 8 R 10 56 R +9 8 R 9 8 R 9 8 R 9 9 R 9 8 R 9 9 R 9 9 R 9 8 R 9 56 R 9 9 R 9 9 R 10 9 R +9 10 R 9 9 R 9 10 R 9 9 R 9 10 R 9 56 R D 16731 9619 M 9 10 R 9 10 R 9 10 R +9 11 R 9 10 R 10 11 R 9 10 R 9 11 R 9 57 R 9 11 R 9 12 R 9 11 R 9 12 R +9 11 R 9 12 R 10 12 R 9 12 R 9 59 R 9 12 R 9 13 R 9 13 R 9 13 R 9 13 R +9 14 R 9 14 R 10 14 R 9 59 R 9 14 R 9 15 R 9 15 R 9 15 R 9 15 R 9 16 R +9 15 R 10 17 R 9 61 R 9 16 R 9 17 R 9 17 R 9 18 R 9 17 R 3 6 R D 2242 2436 M +2 1 R 11 4 R 12 5 R 11 19 R 11 5 R 11 5 R 12 5 R 11 5 R 11 5 R 11 5 R 12 4 R +11 5 R 11 20 R 11 5 R 12 5 R 11 5 R 11 5 R 11 6 R 12 5 R 11 5 R 11 5 R +11 21 R 11 5 R 12 5 R 11 5 R 11 5 R 11 6 R 11 5 R 12 5 R 11 5 R 11 22 R +11 5 R 11 6 R 11 5 R 12 5 R 11 6 R 11 5 R 11 5 R 11 6 R 11 22 R 12 6 R +11 5 R 11 6 R 11 5 R 11 6 R 11 6 R 11 5 R 12 6 R 11 23 R 11 6 R 11 5 R +11 6 R 11 6 R 11 5 R 11 6 R 11 6 R 11 6 R 12 24 R 11 6 R 11 5 R 11 6 R +11 6 R 11 6 R 11 6 R 11 6 R 11 6 R 11 25 R 11 6 R 11 6 R 11 6 R 11 6 R +11 6 R 11 6 R 12 6 R 11 6 R 11 26 R 11 6 R 11 6 R 11 6 R 11 6 R 11 7 R +11 6 R 11 6 R 11 6 R 11 27 R 11 6 R 11 6 R 11 7 R 11 6 R 11 7 R 11 6 R +11 6 R 11 7 R 11 27 R 10 7 R 11 6 R 11 7 R 11 6 R 11 7 R 11 6 R 11 7 R +11 6 R 11 28 R 11 7 R 11 7 R 11 6 R 11 7 R 11 7 R 11 6 R 11 7 R 10 7 R +11 29 R 11 7 R 11 6 R 11 7 R 11 7 R 11 7 R 11 7 R 11 6 R 11 7 R 10 30 R +11 7 R 11 7 R 11 7 R 11 7 R 11 7 R 11 7 R 10 7 R 11 7 R 11 30 R 11 7 R +11 8 R 11 7 R 11 7 R 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2 R 9 1 R 9 2 R 9 1 R 9 1 R 9 2 R 9 1 R 9 2 R 9 1 R +9 2 R 9 1 R 9 1 R 9 2 R 9 1 R 9 1 R 9 2 R 9 1 R 9 2 R 9 1 R 9 1 R 9 2 R +9 1 R 9 1 R 9 2 R 9 1 R 9 1 R 9 2 R 9 1 R 9 1 R 9 1 R 9 2 R 9 1 R 10 1 R +9 2 R 9 1 R 9 1 R 9 1 R 9 2 R 9 1 R 9 1 R 9 1 R 9 1 R 9 2 R 9 1 R 9 1 R +9 1 R 9 2 R 9 1 R 9 1 R 9 1 R 9 1 R 9 2 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R +9 1 R 9 2 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 10 1 R 9 2 R 9 1 R 9 1 R 9 1 R +9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 2 R 9 1 R 9 1 R 9 1 R +9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 10 1 R 9 1 R 9 1 R 9 1 R 9 1 R +9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 0 R +9 1 R 9 1 R 9 1 R 9 1 R 10 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R +9 0 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 0 R 9 1 R 10 1 R 9 1 R +9 1 R 9 1 R 9 1 R 9 0 R 9 1 R 9 1 R 9 1 R 9 1 R 9 1 R 9 0 R 9 1 R 9 1 R +9 1 R 10 1 R 9 0 R 9 1 R 9 1 R 9 1 R 9 1 R 9 0 R 9 1 R 9 1 R 9 1 R 9 1 R +9 0 R 9 1 R 9 1 R 10 1 R 9 0 R 9 1 R 9 1 R 9 1 R 9 0 R 9 1 R 9 1 R 9 1 R +9 0 R 9 1 R 9 1 R 10 1 R 9 0 R 9 1 R 9 1 R 9 0 R 9 1 R 9 1 R D 16731 11822 M +9 1 R 9 0 R 9 1 R 9 1 R 9 0 R 10 1 R 9 1 R 9 0 R 9 1 R 9 1 R 9 0 R 9 1 R +9 1 R 9 0 R 9 1 R 10 1 R 9 0 R 9 1 R 9 1 R 9 0 R 9 1 R 9 1 R 9 0 R 9 1 R +9 1 R 10 0 R 9 1 R 9 0 R 9 1 R 9 1 R 9 0 R 9 1 R 9 1 R 9 0 R 10 1 R 9 0 R +9 1 R 9 1 R 9 0 R 9 1 R 9 0 R 3 0 R D 10 setlinewidth +0.000 0.000 0.000 setrgbcolor 7641 5644 M 0 222 R 222 0 R 0 -222 R -222 0 R +D 11407 6595 M 0 222 R 222 0 R 0 -222 R -222 0 R D 16362 8391 M 0 222 R +222 0 R 0 -222 R -222 0 R D 20 setlinewidth 7752 5543 M 0 423 R D +5968 5755 M 3568 0 R D 7663 5543 M 178 0 R D 7663 5966 M 178 0 R D +5968 5666 M 0 177 R D 9536 5666 M 0 177 R D 11518 6283 M 0 845 R D +9709 6706 M 3617 0 R D 11429 6283 M 178 0 R D 11429 7128 M 178 0 R D +9709 6617 M 0 177 R D 13327 6617 M 0 177 R D 16473 7868 M 0 1268 R D +13450 8502 M 3657 0 R D 16384 7868 M 178 0 R D 16384 9136 M 178 0 R D +13450 8413 M 0 178 R D 10 setlinewidth 3149 11032 M 0 224 R 224 0 R 0 -224 R +-224 0 R D gsave 3528 11038 translate 0 0 M 1.01 dup scale +(Ueda et al. \(2003\)) show grestore 2934 1945 M 111 222 R 111 -222 R +-222 0 R D 5466 1422 M 56 111 R 55 -111 R D 7889 2791 M 111 222 R 111 -222 R +-222 0 R D 10366 4059 M 111 222 R 111 -222 R -222 0 R D 12844 7123 M +111 222 R 111 -222 R -222 0 R D 20 setlinewidth 3045 1422 M 0 1480 R D +2242 2056 M 2042 0 R D 2956 2902 M 178 0 R D 4284 1967 M 0 178 R D +5522 1422 M 0 528 R D 4284 1422 M 2477 0 R D 5433 1950 M 178 0 R D +4284 1422 M 0 89 R D 6761 1422 M 0 89 R D 8000 2267 M 0 1269 R D 6761 2902 M +2478 0 R D 7911 2267 M 178 0 R D 7911 3536 M 178 0 R D 6761 2813 M 0 177 R D +9239 2813 M 0 177 R D 10477 3324 M 0 1691 R D 9239 4170 M 2477 0 R D +10388 3324 M 178 0 R D 10388 5015 M 178 0 R D 9239 4081 M 0 177 R D +11716 4081 M 0 177 R D 12955 5649 M 0 3170 R D 11716 7234 M 2478 0 R D +12866 5649 M 178 0 R D 12866 8819 M 178 0 R D 11716 7145 M 0 178 R D +14194 7145 M 0 178 R D 10 setlinewidth 3149 10503 M 112 225 R 112 -225 R +-224 0 R D gsave 3528 10510 translate 0 0 M 1.01 dup scale +(Grimes et al. \(2004\)) show grestore 20 setlinewidth 6018 3118 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 6513 3435 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 7009 3858 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 7504 4281 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 8000 5337 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +8495 5496 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 8991 4809 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 9486 5549 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 9982 7345 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 10725 6869 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 6018 2796 M 0 423 R D 5770 3007 M 496 0 R D 5929 2796 M 178 0 R +D 5929 3219 M 178 0 R D 5770 2918 M 0 178 R D 6266 2918 M 0 178 R D +6513 3113 M 0 423 R D 6266 3324 M 495 0 R D 6424 3113 M 178 0 R D +6424 3536 M 178 0 R D 6266 3235 M 0 178 R D 6761 3235 M 0 178 R D +7009 3536 M 0 422 R D 6761 3747 M 496 0 R D 6920 3536 M 178 0 R D +6920 3958 M 178 0 R D 6761 3658 M 0 178 R D 7257 3658 M 0 178 R D +7504 3958 M 0 423 R D 7257 4170 M 495 0 R D 7415 3958 M 178 0 R D +7415 4381 M 178 0 R D 7257 4081 M 0 177 R D 7752 4081 M 0 177 R D +8000 4962 M 0 528 R D 7752 5226 M 496 0 R D 7911 4962 M 178 0 R D +7911 5490 M 178 0 R D 7752 5137 M 0 178 R D 8248 5137 M 0 178 R D +8495 5068 M 0 634 R D 8248 5385 M 495 0 R D 8406 5068 M 178 0 R D +8406 5702 M 178 0 R D 8248 5296 M 0 178 R D 8743 5296 M 0 178 R D +8991 4328 M 0 740 R D 8743 4698 M 496 0 R D 8902 4328 M 178 0 R D +8902 5068 M 178 0 R D 8743 4609 M 0 178 R D 9239 4609 M 0 178 R D +9486 4909 M 0 1057 R D 9239 5438 M 495 0 R D 9397 4909 M 178 0 R D +9397 5966 M 178 0 R D 9239 5349 M 0 177 R D 9734 5349 M 0 177 R D +9982 6283 M 0 1902 R D 9734 7234 M 496 0 R D 9893 6283 M 178 0 R D +9893 8185 M 178 0 R D 9734 7145 M 0 178 R D 10230 7145 M 0 178 R D +10725 5649 M 0 2219 R D 10230 6758 M 991 0 R D 10636 5649 M 178 0 R D +10636 7868 M 178 0 R D 10230 6670 M 0 177 R D 11221 6670 M 0 177 R D +3261 9671 M 112 -112 R -112 -112 R -112 112 R 112 112 R D +gsave 3528 9453 translate 0 0 M 1.01 dup scale +(Simpson \(2005\)) show grestore 10 setlinewidth 6689 4909 M -1 15 R -3 14 R +-4 14 R -7 13 R -8 12 R -10 11 R -10 9 R -13 8 R -13 7 R -13 4 R -15 3 R +-14 1 R -15 -1 R -14 -3 R -14 -4 R -13 -7 R -12 -8 R -11 -9 R -9 -11 R +-8 -12 R -7 -13 R -4 -14 R -3 -14 R -1 -15 R 1 -14 R 3 -15 R 4 -13 R 7 -13 R +8 -12 R 9 -11 R 11 -10 R 12 -8 R 13 -6 R 14 -5 R 14 -3 R 15 -1 R 14 1 R +15 3 R 13 5 R 13 6 R 13 8 R 10 10 R 10 11 R 8 12 R 7 13 R 4 13 R 3 15 R +1 14 R D 7928 4117 M -1 14 R -3 14 R -5 14 R -6 13 R -8 12 R -10 11 R +-11 10 R -12 8 R -13 6 R -14 5 R -14 3 R -14 1 R -15 -1 R -14 -3 R -14 -5 R +-13 -6 R -12 -8 R -11 -10 R -9 -11 R -8 -12 R -7 -13 R -5 -14 R -2 -14 R +-1 -14 R 1 -15 R 2 -14 R 5 -14 R 7 -13 R 8 -12 R 9 -11 R 11 -9 R 12 -8 R +13 -7 R 14 -5 R 14 -2 R 15 -1 R 14 1 R 14 2 R 14 5 R 13 7 R 12 8 R 11 9 R +10 11 R 8 12 R 6 13 R 5 14 R 3 14 R 1 15 R D 9166 5755 M 0 14 R -3 14 R +-5 14 R -6 13 R -8 12 R -10 11 R -11 10 R -12 8 R -13 6 R -14 5 R -14 3 R +-15 1 R -14 -1 R -14 -3 R -14 -5 R -13 -6 R -12 -8 R -11 -10 R -10 -11 R +-8 -12 R -6 -13 R -5 -14 R -3 -14 R -1 -14 R 1 -15 R 3 -14 R 5 -14 R 6 -13 R +8 -12 R 10 -11 R 11 -9 R 12 -9 R 13 -6 R 14 -5 R 14 -2 R 14 -1 R 15 1 R +14 2 R 14 5 R 13 6 R 12 9 R 11 9 R 10 11 R 8 12 R 6 13 R 5 14 R 3 14 R +0 15 R D 10405 6600 M -1 14 R -3 15 R -4 13 R -7 13 R -8 12 R -9 11 R +-11 10 R -12 8 R -13 6 R -14 5 R -14 3 R -15 1 R -14 -1 R -14 -3 R -14 -5 R +-13 -6 R -12 -8 R -11 -10 R -10 -11 R -8 -12 R -6 -13 R -5 -13 R -3 -15 R +-1 -14 R 1 -15 R 3 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -9 R 12 -8 R +13 -7 R 14 -4 R 14 -3 R 14 -1 R 15 1 R 14 3 R 14 4 R 13 7 R 12 8 R 11 9 R +9 11 R 8 12 R 7 13 R 4 14 R 3 14 R 1 15 R D 11644 6336 M -1 14 R -3 14 R +-4 14 R -7 13 R -8 12 R -10 11 R -10 10 R -12 8 R -14 6 R -13 5 R -15 3 R +-14 1 R -14 -1 R -15 -3 R -13 -5 R -13 -6 R -13 -8 R -10 -10 R -10 -11 R +-8 -12 R -7 -13 R -4 -14 R -3 -14 R -1 -14 R 1 -15 R 3 -14 R 4 -14 R 7 -13 R +8 -12 R 10 -11 R 10 -9 R 13 -8 R 13 -7 R 13 -4 R 15 -3 R 14 -1 R 14 1 R +15 3 R 13 4 R 14 7 R 12 8 R 10 9 R 10 11 R 8 12 R 7 13 R 4 14 R 3 14 R +1 15 R D 12883 8291 M -1 14 R -3 14 R -5 14 R -6 13 R -8 12 R -10 11 R +-11 10 R -12 8 R -13 6 R -14 5 R -14 3 R -14 1 R -15 -1 R -14 -3 R -14 -5 R +-13 -6 R -12 -8 R -11 -10 R -9 -11 R -8 -12 R -7 -13 R -4 -14 R -3 -14 R +-1 -14 R 1 -15 R 3 -14 R 4 -14 R 7 -13 R 8 -12 R 9 -11 R 11 -9 R 12 -9 R +13 -6 R 14 -5 R 14 -2 R 15 -1 R 14 1 R 14 2 R 14 5 R 13 6 R 12 9 R 11 9 R +10 11 R 8 12 R 6 13 R 5 14 R 3 14 R 1 15 R D 14122 7974 M -1 14 R -3 14 R +-5 14 R -6 13 R -8 12 R -10 11 R -11 10 R -12 8 R -13 6 R -14 5 R -14 3 R +-14 1 R -15 -1 R -14 -3 R -14 -5 R -13 -6 R -12 -8 R -11 -10 R -10 -11 R +-8 -12 R -6 -13 R -5 -14 R -3 -14 R 0 -14 R 0 -15 R 3 -14 R 5 -14 R 6 -13 R +8 -12 R 10 -11 R 11 -9 R 12 -9 R 13 -6 R 14 -5 R 14 -2 R 15 -1 R 14 1 R +14 2 R 14 5 R 13 6 R 12 9 R 11 9 R 10 11 R 8 12 R 6 13 R 5 14 R 3 14 R +1 15 R D 20 setlinewidth 6578 3219 M 0 3381 R D 5959 4909 M 1238 0 R D +6489 3219 M 178 0 R D 6489 6600 M 178 0 R D 5959 4820 M 0 178 R D +7197 4820 M 0 178 R D 7817 3536 M 0 1162 R D 7197 4117 M 1239 0 R D +7728 3536 M 178 0 R D 7728 4698 M 178 0 R D 7197 4028 M 0 178 R D +8436 4028 M 0 178 R D 9055 5226 M 0 1057 R D 8436 5755 M 1239 0 R D +8967 5226 M 177 0 R D 8967 6283 M 177 0 R D 8436 5666 M 0 177 R D +9675 5666 M 0 177 R D 10294 6019 M 0 1162 R D 9675 6600 M 1239 0 R D +10205 6019 M 178 0 R D 10205 7181 M 178 0 R D 9675 6511 M 0 178 R D +10914 6511 M 0 178 R D 11533 5702 M 0 1268 R D 10914 6336 M 1238 0 R D +11444 5702 M 178 0 R D 11444 6970 M 178 0 R D 10914 6247 M 0 178 R D +12152 6247 M 0 178 R D 12772 7445 M 0 1691 R D 12152 8291 M 1239 0 R D +12683 7445 M 178 0 R D 12683 9136 M 178 0 R D 12152 8202 M 0 178 R D +13391 8202 M 0 178 R D 14011 6600 M 0 2747 R D 13391 7974 M 1239 0 R D +13922 6600 M 177 0 R D 13922 9347 M 177 0 R D 13391 7885 M 0 178 R D +14630 7885 M 0 178 R D 10 setlinewidth 3373 10087 M -1 15 R -2 14 R -5 14 R +-7 13 R -8 12 R -9 11 R -11 10 R -13 8 R -13 7 R -14 4 R -14 3 R -15 1 R +-14 -1 R -15 -3 R -14 -4 R -13 -7 R -12 -8 R -11 -10 R -10 -11 R -8 -12 R +-6 -13 R -5 -14 R -3 -14 R -1 -15 R 1 -14 R 3 -15 R 5 -14 R 6 -13 R 8 -12 R +10 -11 R 11 -10 R 12 -8 R 13 -6 R 14 -5 R 15 -3 R 14 -1 R 15 1 R 14 3 R +14 5 R 13 6 R 13 8 R 11 10 R 9 11 R 8 12 R 7 13 R 5 14 R 2 15 R 1 14 R D +gsave 3528 9982 translate 0 0 M 1.01 dup scale +(Hasinger \(2004\)) show grestore +%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%EOF diff --git a/feedback/papers/0506398/f17.ps b/feedback/papers/0506398/f17.ps new file mode 100644 index 0000000..b12a1cb --- /dev/null +++ b/feedback/papers/0506398/f17.ps @@ -0,0 +1,205 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 558 720 +%%Title: Graphics produced by IDL +%%For: phopkins@zeus, /home/phopkins/montecarlo_runs +%%Creator: IDL Version 6.1.1 (linux x86 m32) +%%CreationDate: Mon Aug 29 03:50:20 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2004 Research Systems, Inc. All Rights Reserved. +%v 5 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef /MITERLIMIT { 2.5 setmiterlimit } bdef end +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 558 720 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale MITERLIMIT +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 2242 1422 M 14865 0 R D +2242 1422 M 0 211 R D gsave 2242 889 translate 0 0 M 1.01 dup scale +-235.373 0 N +(41) show grestore 4720 1422 M 0 211 R D gsave 4720 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(42) show grestore 7197 1422 M 0 211 R D gsave 7197 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(43) show grestore 9675 1422 M 0 211 R D gsave 9675 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(44) show grestore 12152 1422 M 0 211 R D gsave 12152 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(45) show grestore 14630 1422 M 0 211 R D gsave 14630 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(46) show grestore 17107 1422 M 0 211 R D gsave 17107 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(47) show grestore 2490 1422 M 0 106 R D 2738 1422 M 0 106 R D 2986 1422 M +0 106 R D 3233 1422 M 0 106 R D 3481 1422 M 0 106 R D 3729 1422 M 0 106 R D +3977 1422 M 0 106 R D 4224 1422 M 0 106 R D 4472 1422 M 0 106 R D +4968 1422 M 0 106 R D 5215 1422 M 0 106 R D 5463 1422 M 0 106 R D +5711 1422 M 0 106 R D 5959 1422 M 0 106 R D 6206 1422 M 0 106 R D +6454 1422 M 0 106 R D 6702 1422 M 0 106 R D 6950 1422 M 0 106 R D +7445 1422 M 0 106 R D 7693 1422 M 0 106 R D 7941 1422 M 0 106 R D +8188 1422 M 0 106 R D 8436 1422 M 0 106 R D 8684 1422 M 0 106 R D +8932 1422 M 0 106 R D 9179 1422 M 0 106 R D 9427 1422 M 0 106 R D +9923 1422 M 0 106 R D 10170 1422 M 0 106 R D 10418 1422 M 0 106 R D +10666 1422 M 0 106 R D 10914 1422 M 0 106 R D 11161 1422 M 0 106 R D +11409 1422 M 0 106 R D 11657 1422 M 0 106 R D 11905 1422 M 0 106 R D +12400 1422 M 0 106 R D 12648 1422 M 0 106 R D 12896 1422 M 0 106 R D +13143 1422 M 0 106 R D 13391 1422 M 0 106 R D 13639 1422 M 0 106 R D +13887 1422 M 0 106 R D 14134 1422 M 0 106 R D 14382 1422 M 0 106 R D +14878 1422 M 0 106 R D 15125 1422 M 0 106 R D 15373 1422 M 0 106 R D +15621 1422 M 0 106 R D 15869 1422 M 0 106 R D 16116 1422 M 0 106 R D +16364 1422 M 0 106 R D 16612 1422 M 0 106 R D 16860 1422 M 0 106 R D +gsave 9675 427 translate 0 0 M 1.01 dup scale -1842.82 0 N +(Log\(L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(2-10 keV) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\) [erg/s]) show grestore 2242 11989 M 14865 0 R D 2242 11989 M 0 -211 R D +4720 11989 M 0 -211 R D 7197 11989 M 0 -211 R D 9675 11989 M 0 -211 R D +12152 11989 M 0 -211 R D 14630 11989 M 0 -211 R D 17107 11989 M 0 -211 R D +2490 11989 M 0 -106 R D 2738 11989 M 0 -106 R D 2986 11989 M 0 -106 R D +3233 11989 M 0 -106 R D 3481 11989 M 0 -106 R D 3729 11989 M 0 -106 R D +3977 11989 M 0 -106 R D 4224 11989 M 0 -106 R D 4472 11989 M 0 -106 R D +4968 11989 M 0 -106 R D 5215 11989 M 0 -106 R D 5463 11989 M 0 -106 R D +5711 11989 M 0 -106 R D 5959 11989 M 0 -106 R D 6206 11989 M 0 -106 R D +6454 11989 M 0 -106 R D 6702 11989 M 0 -106 R D 6950 11989 M 0 -106 R D +7445 11989 M 0 -106 R D 7693 11989 M 0 -106 R D 7941 11989 M 0 -106 R D +8188 11989 M 0 -106 R D 8436 11989 M 0 -106 R D 8684 11989 M 0 -106 R D +8932 11989 M 0 -106 R D 9179 11989 M 0 -106 R D 9427 11989 M 0 -106 R D +9923 11989 M 0 -106 R D 10170 11989 M 0 -106 R D 10418 11989 M 0 -106 R D +10666 11989 M 0 -106 R D 10914 11989 M 0 -106 R D 11161 11989 M 0 -106 R D +11409 11989 M 0 -106 R D 11657 11989 M 0 -106 R D 11905 11989 M 0 -106 R D +12400 11989 M 0 -106 R D 12648 11989 M 0 -106 R D 12896 11989 M 0 -106 R D +13143 11989 M 0 -106 R D 13391 11989 M 0 -106 R D 13639 11989 M 0 -106 R D +13887 11989 M 0 -106 R D 14134 11989 M 0 -106 R D 14382 11989 M 0 -106 R D +14878 11989 M 0 -106 R D 15125 11989 M 0 -106 R D 15373 11989 M 0 -106 R D +15621 11989 M 0 -106 R D 15869 11989 M 0 -106 R D 16116 11989 M 0 -106 R D +16364 11989 M 0 -106 R D 16612 11989 M 0 -106 R D 16860 11989 M 0 -106 R D +2242 1422 M 0 10567 R D 2242 1422 M 298 0 R D +gsave 2130 1422 translate 0 0 M 1.01 dup scale -588.433 0 N +(0.2) show grestore 2242 3536 M 298 0 R D gsave 2130 3393 translate 0 0 M +1.01 dup scale -588.433 0 N +(0.3) show grestore 2242 5649 M 298 0 R D gsave 2130 5507 translate 0 0 M +1.01 dup scale -588.433 0 N +(0.4) show grestore 2242 7762 M 298 0 R D gsave 2130 7620 translate 0 0 M +1.01 dup scale -588.433 0 N +(0.5) show grestore 2242 9876 M 298 0 R D gsave 2130 9733 translate 0 0 M +1.01 dup scale -588.433 0 N +(0.6) show grestore 2242 11989 M 298 0 R D gsave 2130 11740 translate 0 0 M +1.01 dup scale -588.433 0 N +(0.7) show grestore 2242 1633 M 149 0 R D 2242 1845 M 149 0 R D 2242 2056 M +149 0 R D 2242 2267 M 149 0 R D 2242 2479 M 149 0 R D 2242 2690 M 149 0 R D +2242 2902 M 149 0 R D 2242 3113 M 149 0 R D 2242 3324 M 149 0 R D +2242 3747 M 149 0 R D 2242 3958 M 149 0 R D 2242 4170 M 149 0 R D +2242 4381 M 149 0 R D 2242 4592 M 149 0 R D 2242 4804 M 149 0 R D +2242 5015 M 149 0 R D 2242 5226 M 149 0 R D 2242 5438 M 149 0 R D +2242 5860 M 149 0 R D 2242 6072 M 149 0 R D 2242 6283 M 149 0 R D +2242 6494 M 149 0 R D 2242 6706 M 149 0 R D 2242 6917 M 149 0 R D +2242 7128 M 149 0 R D 2242 7340 M 149 0 R D 2242 7551 M 149 0 R D +2242 7974 M 149 0 R D 2242 8185 M 149 0 R D 2242 8396 M 149 0 R D +2242 8608 M 149 0 R D 2242 8819 M 149 0 R D 2242 9030 M 149 0 R D +2242 9242 M 149 0 R D 2242 9453 M 149 0 R D 2242 9664 M 149 0 R D +2242 10087 M 149 0 R D 2242 10298 M 149 0 R D 2242 10510 M 149 0 R D +2242 10721 M 149 0 R D 2242 10932 M 149 0 R D 2242 11144 M 149 0 R D +2242 11355 M 149 0 R D 2242 11566 M 149 0 R D 2242 11778 M 149 0 R D +gsave 1200 6706 translate 0 0 M 90 rotate 1.01 dup scale -3268.61 0 N +(Obscured Fraction \(N) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(H) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( > 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(22) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( cm) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-2) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\)) show grestore 17107 1422 M 0 10567 R D 17107 1422 M -297 0 R D +17107 3536 M -297 0 R D 17107 5649 M -297 0 R D 17107 7762 M -297 0 R D +17107 9876 M -297 0 R D 17107 11989 M -297 0 R D 17107 1633 M -148 0 R D +17107 1845 M -148 0 R D 17107 2056 M -148 0 R D 17107 2267 M -148 0 R D +17107 2479 M -148 0 R D 17107 2690 M -148 0 R D 17107 2902 M -148 0 R D +17107 3113 M -148 0 R D 17107 3324 M -148 0 R D 17107 3747 M -148 0 R D +17107 3958 M -148 0 R D 17107 4170 M -148 0 R D 17107 4381 M -148 0 R D +17107 4592 M -148 0 R D 17107 4804 M -148 0 R D 17107 5015 M -148 0 R D +17107 5226 M -148 0 R D 17107 5438 M -148 0 R D 17107 5860 M -148 0 R D +17107 6072 M -148 0 R D 17107 6283 M -148 0 R D 17107 6494 M -148 0 R D +17107 6706 M -148 0 R D 17107 6917 M -148 0 R D 17107 7128 M -148 0 R D +17107 7340 M -148 0 R D 17107 7551 M -148 0 R D 17107 7974 M -148 0 R D +17107 8185 M -148 0 R D 17107 8396 M -148 0 R D 17107 8608 M -148 0 R D +17107 8819 M -148 0 R D 17107 9030 M -148 0 R D 17107 9242 M -148 0 R D +17107 9453 M -148 0 R D 17107 9664 M -148 0 R D 17107 10087 M -148 0 R D +17107 10298 M -148 0 R D 17107 10510 M -148 0 R D 17107 10721 M -148 0 R D +17107 10932 M -148 0 R D 17107 11144 M -148 0 R D 17107 11355 M -148 0 R D +17107 11566 M -148 0 R D 17107 11778 M -148 0 R D 20 setlinewidth +2242 8019 M 253 -235 R 620 289 R 619 810 R 619 699 R 620 278 R 619 -983 R +619 -1026 R 620 -1679 R 619 -1557 R 620 -369 R 619 164 R 619 1885 R +620 2010 R 619 189 R 619 -2838 R 620 1009 R 619 -29 R 620 -662 R 422 -4552 R +D 2421 7717 M 148 0 R -74 0 R 0 134 R -74 0 R 148 0 R D 3040 8004 M 149 0 R +-74 0 R 0 138 R -75 0 R 149 0 R D 3660 8805 M 148 0 R -74 0 R 0 155 R +-74 0 R 148 0 R D 4279 9496 M 149 0 R -75 0 R 0 173 R -74 0 R 149 0 R D +4898 9762 M 149 0 R -74 0 R 0 196 R -75 0 R 149 0 R D 5518 8767 M 148 0 R +-74 0 R 0 219 R -74 0 R 148 0 R D 6137 7731 M 149 0 R -75 0 R 0 241 R +-74 0 R 149 0 R D 6756 6042 M 149 0 R -74 0 R 0 259 R -75 0 R 149 0 R D +7376 4473 M 149 0 R -75 0 R 0 283 R -74 0 R 149 0 R D 7995 4083 M 149 0 R +-74 0 R 0 326 R -75 0 R 149 0 R D 8615 4213 M 148 0 R -74 0 R 0 395 R +-74 0 R 148 0 R D 9234 6033 M 149 0 R -75 0 R 0 524 R -74 0 R 149 0 R D +9853 7965 M 149 0 R -74 0 R 0 679 R -75 0 R 149 0 R D 10473 8049 M 148 0 R +-74 0 R 0 890 R -74 0 R 148 0 R D 11092 5071 M 149 0 R -75 0 R 0 1170 R +-74 0 R 149 0 R D 11712 5822 M 148 0 R -74 0 R 0 1686 R -74 0 R 148 0 R D +12331 5424 M 149 0 R -75 0 R 0 2423 R -74 0 R 149 0 R D 12950 4187 M 149 0 R +-74 0 R 0 3574 R -75 0 R 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+%%For: phopkins@dhcp152-235.cfa.harvard.edu, +%% /Users/phopkins/Documents/lars_galaxies/plots/LF_massive +%%Creator: IDL Student Edition 6.0.3, Mac OS X (darwin ppc m32) +%%CreationDate: Mon Aug 29 04:02:27 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2003 Research Systems, Inc. All Rights Reserved. +%v 4 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint 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11496 M 282 0 R D gsave 1009 11354 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 1121 14015 M 282 0 R D gsave 1009 13873 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 1121 2052 M 141 0 R D 1121 2681 M 141 0 R D 1121 3311 M +141 0 R D 1121 4570 M 141 0 R D 1121 5200 M 141 0 R D 1121 5830 M 141 0 R D +1121 7089 M 141 0 R D 1121 7719 M 141 0 R D 1121 8348 M 141 0 R D +1121 9607 M 141 0 R D 1121 10237 M 141 0 R D 1121 10867 M 141 0 R D +1121 12126 M 141 0 R D 1121 12756 M 141 0 R D 1121 13385 M 141 0 R D +1121 14645 M 141 0 R D gsave 555 8033 translate 0 0 M 90 rotate +1.01 dup scale -2575.77 0 N +(Probability \(Arbitrary Scale\)) show grestore 15224 1422 M 0 13223 R D +15224 1422 M -282 0 R D 15224 3941 M -282 0 R D 15224 6459 M -282 0 R D +15224 8978 M -282 0 R D 15224 11496 M -282 0 R D 15224 14015 M -282 0 R D +15224 2052 M -141 0 R D 15224 2681 M -141 0 R D 15224 3311 M -141 0 R D +15224 4570 M -141 0 R D 15224 5200 M -141 0 R D 15224 5830 M -141 0 R D +15224 7089 M -141 0 R D 15224 7719 M -141 0 R D 15224 8348 M -141 0 R D +15224 9607 M -141 0 R D 15224 10237 M -141 0 R D 15224 10867 M -141 0 R D +15224 12126 M -141 0 R D 15224 12756 M -141 0 R D 15224 13385 M -141 0 R D +15224 14645 M -141 0 R D 40 setlinewidth L2 1121 2347 M 150 190 R 235 366 R +234 446 R 235 528 R 234 612 R 235 696 R 234 771 R 235 838 R 234 888 R +235 918 R 234 925 R 235 905 R 234 858 R 235 782 R 234 678 R 235 551 R +234 403 R 235 242 R 234 71 R 235 -100 R 234 -266 R 235 -420 R 234 -556 R +235 -672 R 234 -762 R 235 -825 R 234 -863 R 235 -875 R 235 -864 R 234 -833 R +235 -786 R 234 -727 R 235 -660 R 234 -588 R 235 -515 R 234 -444 R 235 -375 R +234 -314 R 235 -257 R 234 -209 R 235 -166 R 234 -131 R 235 -101 R 234 -77 R +235 -58 R 234 -43 R 235 -32 R 234 -22 R 235 -17 R 234 -11 R 235 -8 R +234 -5 R 235 -4 R 234 -2 R 235 -2 R 234 -1 R 235 -1 R 235 0 R 234 0 R +235 -1 R 116 0 R D 20 setlinewidth 1.000 0.000 0.000 setrgbcolor +1121 13739 M 212 -1118 R 264 -1194 R 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-248 R 264 -216 R 263 -189 R 264 -165 R 263 -143 R 264 -124 R 263 -108 R +264 -93 R 263 -81 R 189 -51 R D 0.000 0.000 0.000 setrgbcolor +gsave 10075 10867 translate 0 0 M 1.01 dup scale +(Full Model) show grestore 1.000 0.000 0.000 setrgbcolor +gsave 10075 10237 translate 0 0 M 1.01 dup scale +(Light-bulb/Exponential) show grestore gsave 11917 9607 translate 0 0 M +1.01 dup scale +(Model) show grestore L1 0.000 0.000 0.000 setrgbcolor 1121 1422 M 150 0 R +235 0 R 234 0 R 235 0 R 234 0 R 235 0 R 234 0 R 235 0 R 234 0 R 235 0 R +234 22 R 235 65 R 234 154 R 235 301 R 234 508 R 235 756 R 234 1013 R +235 1244 R 234 1410 R 235 1489 R 234 1467 R 235 1348 R 234 1142 R 235 872 R +234 563 R 235 239 R 234 -76 R 235 -363 R 235 -607 R 234 -799 R 235 -936 R +234 -1019 R 235 -1051 R 234 -1042 R 235 -996 R 234 -926 R 235 -838 R +234 -740 R 235 -639 R 234 -542 R 235 -450 R 234 -367 R 235 -294 R 234 -232 R +235 -179 R 234 -137 R 235 -102 R 234 -76 R 235 -55 R 234 -40 R 235 -28 R +234 -19 R 235 -14 R 234 -9 R 235 -6 R 234 -4 R 235 -2 R 235 -2 R 234 -1 R +235 -1 R 116 0 R D L3 1121 1422 M 150 0 R 235 0 R 234 0 R 235 0 R 234 0 R +235 0 R 234 0 R 235 0 R 234 0 R 235 0 R 234 2 R 235 7 R 234 24 R 235 66 R +234 149 R 235 290 R 234 494 R 235 755 R 234 1044 R 235 1315 R 234 1523 R +235 1623 R 234 1591 R 235 1423 R 234 1139 R 235 774 R 234 374 R 235 -23 R +235 -379 R 234 -673 R 235 -891 R 234 -1034 R 235 -1107 R 234 -1118 R +235 -1083 R 234 -1014 R 235 -921 R 234 -815 R 235 -706 R 234 -599 R +235 -497 R 234 -405 R 235 -325 R 234 -256 R 235 -198 R 234 -151 R 235 -113 R +234 -84 R 235 -61 R 234 -44 R 235 -31 R 234 -21 R 235 -15 R 234 -10 R +235 -7 R 234 -4 R 235 -3 R 235 -2 R 234 -1 R 235 -1 R 116 0 R D +40 setlinewidth L0 1121 1422 M 150 0 R 235 0 R 234 0 R 235 0 R 234 0 R +235 0 R 234 0 R 235 0 R 234 0 R 235 0 R 234 0 R 235 2 R 234 6 R 235 18 R +234 44 R 235 96 R 234 182 R 235 311 R 234 483 R 235 688 R 234 907 R +235 1114 R 234 1281 R 235 1381 R 234 1400 R 235 1329 R 234 1178 R 235 958 R +235 694 R 234 405 R 235 116 R 234 -157 R 235 -401 R 234 -604 R 235 -765 R +234 -880 R 235 -951 R 234 -982 R 235 -977 R 234 -945 R 235 -889 R 234 -816 R +235 -734 R 234 -647 R 235 -558 R 234 -474 R 235 -395 R 234 -323 R 235 -261 R +234 -208 R 235 -161 R 234 -125 R 235 -94 R 234 -71 R 235 -52 R 234 -37 R +235 -27 R 235 -19 R 234 -13 R 235 -9 R 116 -3 R D +1.000 0.000 0.000 setrgbcolor 6525 5200 M -2 18 R -3 18 R -6 17 R -8 16 R +-10 15 R -12 14 R -14 12 R -15 10 R -16 8 R -17 6 R -18 4 R -18 1 R -18 -1 R +-18 -4 R -17 -6 R -17 -8 R -15 -10 R -13 -12 R -12 -14 R -10 -15 R -8 -16 R +-6 -17 R -4 -18 R -1 -18 R 1 -18 R 4 -18 R 6 -17 R 8 -16 R 10 -15 R 12 -14 R +13 -12 R 15 -10 R 17 -8 R 17 -6 R 18 -4 R 18 -1 R 18 1 R 18 4 R 17 6 R +16 8 R 15 10 R 14 12 R 12 14 R 10 15 R 8 16 R 6 17 R 3 18 R 2 18 R F +7842 12126 M -1 18 R -4 18 R -5 17 R -8 16 R -11 15 R -12 14 R -13 12 R +-15 10 R -17 8 R -17 6 R -18 4 R -18 1 R -18 -1 R -18 -4 R -17 -6 R -16 -8 R +-15 -10 R -14 -12 R -12 -14 R -10 -15 R -8 -16 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15 10 R 14 12 R 11 13 R +11 15 R 8 17 R 5 17 R 4 18 R 1 18 R F +11268 3311 M -2 18 R -3 18 R -6 17 R -8 16 R -10 16 R -12 13 R -14 12 R +-15 10 R -16 8 R -17 6 R -18 4 R -18 1 R -18 -1 R -18 -4 R -17 -6 R -16 -8 R +-16 -10 R -13 -12 R -12 -13 R -10 -16 R -8 -16 R -6 -17 R -4 -18 R -1 -18 R +1 -18 R 4 -18 R 6 -17 R 8 -16 R 10 -15 R 12 -14 R 13 -12 R 16 -10 R 16 -8 R +17 -6 R 18 -3 R 18 -2 R 18 2 R 18 3 R 17 6 R 16 8 R 15 10 R 14 12 R 12 14 R +10 15 R 8 16 R 6 17 R 3 18 R 2 18 R F +12585 1422 M -1 18 R -4 18 R -5 17 R -8 17 R -11 15 R -11 13 R -14 12 R +-15 10 R -16 8 R -18 6 R -17 4 R -19 1 R -18 -1 R -17 -4 R -18 -6 R -16 -8 R +-15 -10 R -14 -12 R -12 -13 R -10 -15 R -8 -17 R -6 -17 R -3 -18 R -1 -18 R +277 0 R F +6525 5200 M -2 18 R -3 18 R -6 17 R -8 16 R -10 15 R -12 14 R -14 12 R +-15 10 R -16 8 R -17 6 R -18 4 R -18 1 R -18 -1 R -18 -4 R -17 -6 R -17 -8 R +-15 -10 R -13 -12 R -12 -14 R -10 -15 R -8 -16 R -6 -17 R -4 -18 R -1 -18 R +1 -18 R 4 -18 R 6 -17 R 8 -16 R 10 -15 R 12 -14 R 13 -12 R 15 -10 R 17 -8 R +17 -6 R 18 -4 R 18 -1 R 18 1 R 18 4 R 17 6 R 16 8 R 15 10 R 14 12 R 12 14 R +10 15 R 8 16 R 6 17 R 3 18 R 2 18 R F +7842 12126 M -1 18 R -4 18 R -5 17 R -8 16 R -11 15 R -12 14 R -13 12 R +-15 10 R -17 8 R -17 6 R -18 4 R -18 1 R -18 -1 R -18 -4 R -17 -6 R -16 -8 R +-15 -10 R -14 -12 R -12 -14 R -10 -15 R -8 -16 R -6 -17 R -3 -18 R -1 -18 R +1 -18 R 3 -18 R 6 -17 R 8 -16 R 10 -15 R 12 -14 R 14 -12 R 15 -10 R 16 -8 R +17 -6 R 18 -4 R 18 -1 R 18 1 R 18 4 R 17 6 R 17 8 R 15 10 R 13 12 R 12 14 R +11 15 R 8 16 R 5 17 R 4 18 R 1 18 R F +9160 14015 M -2 18 R -3 18 R -6 17 R -8 16 R -10 15 R -12 14 R -14 12 R +-15 10 R -16 8 R -17 6 R -18 3 R -18 2 R -18 -2 R -18 -3 R -17 -6 R -16 -8 R +-16 -10 R -13 -12 R -12 -14 R -10 -15 R -8 -16 R -6 -17 R -4 -18 R -1 -18 R +1 -18 R 4 -18 R 6 -17 R 8 -16 R 10 -16 R 12 -13 R 13 -12 R 16 -10 R 16 -8 R +17 -6 R 18 -4 R 18 -1 R 18 1 R 18 4 R 17 6 R 16 8 R 15 10 R 14 12 R 12 13 R +10 16 R 8 16 R 6 17 R 3 18 R 2 18 R F +9950 8978 M -1 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R D 8230 11976 M 0 300 R D 9021 14015 M 0 629 R D +9021 14015 M 527 0 R D 9548 13865 M 0 300 R D 9811 8978 M 0 629 R D +9811 8978 M 527 0 R D 9661 9607 M 300 0 R D 10338 8828 M 0 300 R D +11129 3311 M 0 315 R D 11129 3311 M 527 0 R D 10979 3626 M 300 0 R D +11656 3161 M 0 300 R D 12446 1422 M 0 315 R D 12446 1422 M 527 0 R D +12296 1737 M 300 0 R D 12973 1422 M 0 150 R D 40 setlinewidth L2 +0.000 0.000 0.000 setrgbcolor 9609 13871 M 1998 0 R D +gsave 11940 13739 translate 0 0 M 1.05 dup scale +(All \(Type I & II\)) show grestore 20 setlinewidth L1 9609 13343 M 1998 0 R +D gsave 11940 13211 translate 0 0 M 1.05 dup scale +(L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(O III) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( > 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(6) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( L) show CP X -101.051 M 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show grestore gsave 1585 13385 translate 0 0 M 1.2 dup scale +(z < 0.3) show grestore 15 setlinewidth 15449 1422 M 14103 0 R D +17275 1422 M 0 265 R D gsave 17275 889 translate 0 0 M 1.01 dup scale +-308.339 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(5) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 19887 1422 M 0 265 R D +gsave 19887 889 translate 0 0 M 1.01 dup scale -308.339 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(6) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 22500 1422 M 0 265 R D +gsave 22500 889 translate 0 0 M 1.01 dup scale -308.339 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(7) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 25113 1422 M 0 265 R D +gsave 25113 889 translate 0 0 M 1.01 dup scale -308.339 0 N +(10) show X 192.937 M 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-6 R 261 -5 R 261 -3 R 261 -2 R +162 -1 R D L2 15448 1446 M 94 4 R 261 13 R 262 17 R 261 24 R 261 33 R +261 44 R 262 59 R 261 77 R 261 99 R 262 127 R 261 160 R 261 198 R 261 243 R +262 293 R 261 350 R 261 411 R 261 476 R 262 543 R 261 609 R 261 675 R +261 733 R 262 783 R 261 823 R 261 846 R 262 852 R 261 839 R 261 805 R +261 746 R 262 668 R 261 569 R 261 450 R 261 -73 R 262 -511 R 261 -870 R +261 -1157 R 262 -1376 R 261 -1536 R 261 -1641 R 261 -1309 R 262 -1029 R +261 -799 R 261 -612 R 261 -463 R 262 -345 R 261 -255 R 261 -185 R 261 -133 R +262 -95 R 261 -66 R 261 -46 R 262 -31 R 261 -21 R 261 -14 R 261 -10 R +162 -4 R D 40 setlinewidth L0 16408 13871 M 1998 0 R D +gsave 18739 13739 translate 0 0 M 1.05 dup scale +(All \(Type I\)) show grestore 20 setlinewidth L2 16408 13343 M 1998 0 R D +gsave 18739 13211 translate 0 0 M 1.05 dup scale +(+ 1) show +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(s) show +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT grestore L1 16408 12815 M 1998 0 R D +gsave 18739 12683 translate 0 0 M 1.05 dup scale +(-- 1) show +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(s) show +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT grestore L0 1.000 0.000 0.000 setrgbcolor +16081 14644 M 103 -636 R 261 -1387 R 262 -1194 R 261 -1275 R 261 -1377 R +261 -1153 R 262 -969 R 261 -813 R 261 -685 R 261 -576 R 262 -486 R +261 -410 R 261 -346 R 262 -293 R 261 -248 R 261 -211 R 261 -179 R 262 -152 R +261 -129 R 261 -111 R 261 -95 R 262 -80 R 261 -70 R 261 -59 R 261 -51 R +262 -43 R 261 -37 R 261 -31 R 262 -26 R 261 -22 R 261 -18 R 261 -14 R +262 -12 R 261 -8 R 261 -7 R 261 -5 R 262 -4 R 261 -3 R 261 -2 R 262 -1 R +261 -1 R 261 -1 R 261 -1 R 262 0 R 261 0 R 261 0 R 261 -1 R 262 0 R 261 0 R +261 0 R 261 0 R 262 0 R 42 0 R D 0.000 0.514 1.000 setrgbcolor 15448 5319 M +213 329 R 262 460 R 261 528 R 261 605 R 262 696 R 261 601 R 261 377 R +261 391 R 262 400 R 261 404 R 261 401 R 261 390 R 262 366 R 261 329 R +261 276 R 262 206 R 261 120 R 261 17 R 261 -97 R 262 -221 R 261 -345 R +261 -464 R 261 -571 R 262 -661 R 261 -729 R 261 -773 R 261 -794 R 262 -791 R +261 -767 R 261 -724 R 262 -667 R 261 -599 R 261 -523 R 261 -447 R 262 -372 R +261 -301 R 261 -239 R 261 -186 R 262 -142 R 261 -106 R 261 -78 R 262 -57 R +261 -41 R 261 -29 R 261 -21 R 262 -14 R 261 -10 R 261 -8 R 261 -5 R 262 -3 R +261 -2 R 261 -2 R 261 -1 R 262 -1 R 42 -1 R D 0.000 0.000 0.000 setrgbcolor +gsave 25113 10867 translate 0 0 M 1.01 dup scale +(Full Model) show grestore 1.000 0.000 0.000 setrgbcolor +gsave 25113 10237 translate 0 0 M 1.01 dup scale +(Light-bulb) show grestore gsave 25320 9607 translate 0 0 M 1.01 dup scale +(+ Standard Torus) show grestore 0.000 0.514 1.000 setrgbcolor +gsave 25113 8978 translate 0 0 M 1.01 dup scale +(Light-bulb) show grestore gsave 25320 8348 translate 0 0 M 1.01 dup scale +(+ Receding Torus) show grestore +%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%+ font Symbol +%%+ font AvantGarde-Book +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%+ font Symbol +%%+ font AvantGarde-Book +%%EOF diff --git a/feedback/papers/0506398/f19.ps b/feedback/papers/0506398/f19.ps new file mode 100644 index 0000000..b717fbc --- /dev/null +++ b/feedback/papers/0506398/f19.ps @@ -0,0 +1,792 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 558 720 +%%Title: Graphics produced by IDL +%%For: phopkins@dhcp152-85.cfa.harvard.edu, +%% /Users/phopkins/Documents/lars_galaxies/plots/high_z +%%Creator: IDL Student Edition 6.0, Mac OS X (darwin ppc m32) +%%CreationDate: Mon Apr 11 12:07:33 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2003 Research Systems, Inc. All Rights Reserved. +%v 4 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef end 2.5 setmiterlimit +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 558 720 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 1333 9701 M 7557 0 R D +1333 9701 M 0 57 R D gsave 1333 9173 translate 0 0 M 1.0005 dup scale +-58.8433 0 N +( ) show grestore 3090 9701 M 0 57 R D gsave 3090 9173 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 4847 9701 M 0 57 R D gsave 4847 9173 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 6604 9701 M 0 57 R D gsave 6604 9173 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 8361 9701 M 0 57 R D gsave 8361 9173 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 1862 9701 M 0 28 R D 2171 9701 M 0 28 R D 2391 9701 M +0 28 R D 2561 9701 M 0 28 R D 2700 9701 M 0 28 R D 2818 9701 M 0 28 R D +2920 9701 M 0 28 R D 3009 9701 M 0 28 R D 3619 9701 M 0 28 R D 3928 9701 M +0 28 R D 4148 9701 M 0 28 R D 4318 9701 M 0 28 R D 4457 9701 M 0 28 R D +4575 9701 M 0 28 R D 4677 9701 M 0 28 R D 4767 9701 M 0 28 R D 5376 9701 M +0 28 R D 5685 9701 M 0 28 R D 5905 9701 M 0 28 R D 6075 9701 M 0 28 R D +6214 9701 M 0 28 R D 6332 9701 M 0 28 R D 6434 9701 M 0 28 R D 6524 9701 M +0 28 R D 7133 9701 M 0 28 R D 7442 9701 M 0 28 R D 7662 9701 M 0 28 R D +7832 9701 M 0 28 R D 7971 9701 M 0 28 R D 8089 9701 M 0 28 R D 8191 9701 M +0 28 R D 8281 9701 M 0 28 R D 8890 9701 M 0 28 R D +gsave 5111 8715 translate 0 0 M 1.0005 dup scale -58.8433 0 N +( ) show grestore 1333 12524 M 7557 0 R D 1333 12524 M 0 -56 R D +3090 12524 M 0 -56 R D 4847 12524 M 0 -56 R D 6604 12524 M 0 -56 R D +8361 12524 M 0 -56 R D 1862 12524 M 0 -28 R D 2171 12524 M 0 -28 R D +2391 12524 M 0 -28 R D 2561 12524 M 0 -28 R D 2700 12524 M 0 -28 R D +2818 12524 M 0 -28 R D 2920 12524 M 0 -28 R D 3009 12524 M 0 -28 R D +3619 12524 M 0 -28 R D 3928 12524 M 0 -28 R D 4148 12524 M 0 -28 R D +4318 12524 M 0 -28 R D 4457 12524 M 0 -28 R D 4575 12524 M 0 -28 R D +4677 12524 M 0 -28 R D 4767 12524 M 0 -28 R D 5376 12524 M 0 -28 R D +5685 12524 M 0 -28 R D 5905 12524 M 0 -28 R D 6075 12524 M 0 -28 R D +6214 12524 M 0 -28 R D 6332 12524 M 0 -28 R D 6434 12524 M 0 -28 R D +6524 12524 M 0 -28 R D 7133 12524 M 0 -28 R D 7442 12524 M 0 -28 R D +7662 12524 M 0 -28 R D 7832 12524 M 0 -28 R D 7971 12524 M 0 -28 R D +8089 12524 M 0 -28 R D 8191 12524 M 0 -28 R D 8281 12524 M 0 -28 R D +8890 12524 M 0 -28 R D 1333 9701 M 0 2823 R D 1333 9701 M 151 0 R D +gsave 1222 9701 translate 0 0 M 1.0005 dup scale -117.687 0 N +( ) show grestore 1333 10642 M 151 0 R D gsave 1222 10501 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 1333 11583 M 151 0 R D gsave 1222 11442 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 1333 12524 M 151 0 R D gsave 1222 12277 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 1333 9984 M 75 0 R D 1333 10150 M 75 0 R D 1333 10268 M +75 0 R D 1333 10359 M 75 0 R D 1333 10433 M 75 0 R D 1333 10496 M 75 0 R D +1333 10551 M 75 0 R D 1333 10599 M 75 0 R D 1333 10925 M 75 0 R D +1333 11091 M 75 0 R D 1333 11209 M 75 0 R D 1333 11300 M 75 0 R D +1333 11374 M 75 0 R D 1333 11437 M 75 0 R D 1333 11492 M 75 0 R D +1333 11540 M 75 0 R D 1333 11866 M 75 0 R D 1333 12032 M 75 0 R D +1333 12150 M 75 0 R D 1333 12241 M 75 0 R D 1333 12315 M 75 0 R D +1333 12378 M 75 0 R D 1333 12433 M 75 0 R D 1333 12481 M 75 0 R D +gsave 772 11113 translate 0 0 M 90 rotate 1.0005 dup scale -58.8433 0 N +( ) show grestore 8890 9701 M 0 2823 R D 8890 9701 M -151 0 R D 8890 10642 M +-151 0 R D 8890 11583 M -151 0 R D 8890 12524 M -151 0 R D 8890 9984 M +-75 0 R D 8890 10150 M -75 0 R D 8890 10268 M -75 0 R D 8890 10359 M -75 0 R +D 8890 10433 M -75 0 R D 8890 10496 M -75 0 R D 8890 10551 M -75 0 R D +8890 10599 M -75 0 R D 8890 10925 M -75 0 R D 8890 11091 M -75 0 R D +8890 11209 M -75 0 R D 8890 11300 M -75 0 R D 8890 11374 M -75 0 R D +8890 11437 M -75 0 R D 8890 11492 M -75 0 R D 8890 11540 M -75 0 R D +8890 11866 M -75 0 R D 8890 12032 M -75 0 R D 8890 12150 M -75 0 R D +8890 12241 M -75 0 R D 8890 12315 M -75 0 R D 8890 12378 M -75 0 R D +8890 12433 M -75 0 R D 8890 12481 M -75 0 R D 40 setlinewidth 1333 9701 M +251 0 R 0 698 R 188 0 R 251 0 R 0 22 R 188 0 R 251 0 R 0 768 R 189 0 R +250 0 R 0 340 R 189 0 R 251 0 R 0 18 R 188 0 R 251 0 R 0 -174 R 188 0 R +251 0 R 0 203 R 189 0 R 250 0 R 0 -294 R 189 0 R 251 0 R 0 114 R 188 0 R +251 0 R 0 -7 R 189 0 R 250 0 R 0 -67 R 189 0 R 251 0 R 0 -389 R 188 0 R +251 0 R 0 158 R 188 0 R 251 0 R 0 564 R 189 0 R 250 0 R 0 158 R 189 0 R +251 0 R 0 -589 R 188 0 R 251 0 R 0 -1523 R D 20 setlinewidth L1 1333 9701 M +251 0 R 0 1047 R 188 0 R 251 0 R 0 22 R 188 0 R 251 0 R 0 768 R 189 0 R +250 0 R 0 340 R 189 0 R 251 0 R 0 18 R 188 0 R 251 0 R 0 -174 R 188 0 R +251 0 R 189 0 R 250 0 R 0 -605 R 189 0 R 251 0 R 0 -154 R 188 0 R 251 0 R +0 -188 R 189 0 R 250 0 R 0 138 R 189 0 R 251 0 R 0 -374 R 188 0 R 251 0 R +0 236 R 188 0 R 251 0 R 0 -421 R 189 0 R 250 0 R 0 846 R 189 0 R 251 0 R +0 -129 R 188 0 R 251 0 R 0 -1370 R D L2 1333 11408 M 251 0 R 0 -360 R +188 0 R 251 0 R 0 -74 R 188 0 R 251 0 R 0 485 R 189 0 R 250 0 R 0 -577 R +189 0 R 251 0 R 0 374 R 188 0 R 251 0 R 0 218 R 188 0 R 251 0 R 0 -426 R +189 0 R 250 0 R 0 254 R 189 0 R 251 0 R 0 115 R 188 0 R 251 0 R 0 -8 R +189 0 R 250 0 R 0 -66 R 189 0 R 251 0 R 0 -390 R 188 0 R 251 0 R 0 159 R +188 0 R 251 0 R 0 564 R 189 0 R 250 0 R 0 158 R 189 0 R 251 0 R 0 -590 R +188 0 R 251 0 R 0 -1543 R D gsave 1472 11866 translate 0 0 M 1.1 dup scale +(Entire Simulation) show grestore 15 setlinewidth L0 9779 9701 M 7557 0 R D +9779 9701 M 0 57 R D gsave 9779 9173 translate 0 0 M 1.0005 dup scale +-58.8433 0 N +( ) show grestore 11668 9701 M 0 57 R D gsave 11668 9173 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 13557 9701 M 0 57 R D gsave 13557 9173 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 15447 9701 M 0 57 R D gsave 15447 9173 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 17336 9701 M 0 57 R D gsave 17336 9173 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 10347 9701 M 0 28 R D 10680 9701 M 0 28 R D 10916 9701 M +0 28 R D 11099 9701 M 0 28 R D 11249 9701 M 0 28 R D 11375 9701 M 0 28 R D +11485 9701 M 0 28 R D 11581 9701 M 0 28 R D 12237 9701 M 0 28 R D +12569 9701 M 0 28 R D 12805 9701 M 0 28 R D 12988 9701 M 0 28 R D +13138 9701 M 0 28 R D 13265 9701 M 0 28 R D 13374 9701 M 0 28 R D +13471 9701 M 0 28 R D 14126 9701 M 0 28 R D 14459 9701 M 0 28 R D +14695 9701 M 0 28 R D 14878 9701 M 0 28 R D 15027 9701 M 0 28 R D +15154 9701 M 0 28 R D 15263 9701 M 0 28 R D 15360 9701 M 0 28 R D +16015 9701 M 0 28 R D 16348 9701 M 0 28 R D 16584 9701 M 0 28 R D +16767 9701 M 0 28 R D 16917 9701 M 0 28 R D 17043 9701 M 0 28 R D +17153 9701 M 0 28 R D 17249 9701 M 0 28 R D gsave 13557 8715 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 9779 12524 M 7557 0 R D 9779 12524 M 0 -56 R D +11668 12524 M 0 -56 R D 13557 12524 M 0 -56 R D 15447 12524 M 0 -56 R D +17336 12524 M 0 -56 R D 10347 12524 M 0 -28 R D 10680 12524 M 0 -28 R D +10916 12524 M 0 -28 R D 11099 12524 M 0 -28 R D 11249 12524 M 0 -28 R D +11375 12524 M 0 -28 R D 11485 12524 M 0 -28 R D 11581 12524 M 0 -28 R D +12237 12524 M 0 -28 R D 12569 12524 M 0 -28 R D 12805 12524 M 0 -28 R D +12988 12524 M 0 -28 R D 13138 12524 M 0 -28 R D 13265 12524 M 0 -28 R D +13374 12524 M 0 -28 R D 13471 12524 M 0 -28 R D 14126 12524 M 0 -28 R D +14459 12524 M 0 -28 R D 14695 12524 M 0 -28 R D 14878 12524 M 0 -28 R D +15027 12524 M 0 -28 R D 15154 12524 M 0 -28 R D 15263 12524 M 0 -28 R D +15360 12524 M 0 -28 R D 16015 12524 M 0 -28 R D 16348 12524 M 0 -28 R D +16584 12524 M 0 -28 R D 16767 12524 M 0 -28 R D 16917 12524 M 0 -28 R D +17043 12524 M 0 -28 R D 17153 12524 M 0 -28 R D 17249 12524 M 0 -28 R D +9779 9701 M 0 2823 R D 9779 9701 M 151 0 R D gsave 9667 9701 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 9779 10642 M 151 0 R D gsave 9667 10501 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 9779 11583 M 151 0 R D gsave 9667 11442 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 9779 12524 M 151 0 R D gsave 9667 12277 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 9779 9984 M 75 0 R D 9779 10150 M 75 0 R D 9779 10268 M +75 0 R D 9779 10359 M 75 0 R D 9779 10433 M 75 0 R D 9779 10496 M 75 0 R D +9779 10551 M 75 0 R D 9779 10599 M 75 0 R D 9779 10925 M 75 0 R D +9779 11091 M 75 0 R D 9779 11209 M 75 0 R D 9779 11300 M 75 0 R D +9779 11374 M 75 0 R D 9779 11437 M 75 0 R D 9779 11492 M 75 0 R D +9779 11540 M 75 0 R D 9779 11866 M 75 0 R D 9779 12032 M 75 0 R D +9779 12150 M 75 0 R D 9779 12241 M 75 0 R D 9779 12315 M 75 0 R D +9779 12378 M 75 0 R D 9779 12433 M 75 0 R D 9779 12481 M 75 0 R D +gsave 9217 11113 translate 0 0 M 90 rotate 1.0005 dup scale -58.8433 0 N +( ) show grestore 17336 9701 M 0 2823 R D 17336 9701 M -151 0 R D +17336 10642 M -151 0 R D 17336 11583 M -151 0 R D 17336 12524 M -151 0 R D +17336 9984 M -76 0 R D 17336 10150 M -76 0 R D 17336 10268 M -76 0 R D +17336 10359 M -76 0 R D 17336 10433 M -76 0 R D 17336 10496 M -76 0 R D +17336 10551 M -76 0 R D 17336 10599 M -76 0 R D 17336 10925 M -76 0 R D +17336 11091 M -76 0 R D 17336 11209 M -76 0 R D 17336 11300 M -76 0 R D +17336 11374 M -76 0 R D 17336 11437 M -76 0 R D 17336 11492 M -76 0 R D +17336 11540 M -76 0 R D 17336 11866 M -76 0 R D 17336 12032 M -76 0 R D +17336 12150 M -76 0 R D 17336 12241 M -76 0 R D 17336 12315 M -76 0 R D +17336 12378 M -76 0 R D 17336 12433 M -76 0 R D 17336 12481 M -76 0 R D +40 setlinewidth 9779 9701 M 210 0 R 167 0 R 211 0 R 0 1444 R 167 0 R 211 0 R +0 -12 R 167 0 R 211 0 R 0 -377 R 167 0 R 210 0 R 0 -108 R 168 0 R 210 0 R +0 367 R 168 0 R 210 0 R 0 89 R 168 0 R 210 0 R 0 -24 R 167 0 R 211 0 R +0 -1 R 167 0 R 211 0 R 0 -87 R 167 0 R 211 0 R 0 183 R 167 0 R 211 0 R +0 -230 R 167 0 R 210 0 R 0 50 R 168 0 R 210 0 R 0 853 R 168 0 R 210 0 R +0 -97 R 168 0 R 210 0 R 0 -656 R 167 0 R 211 0 R 0 960 R 167 0 R 211 0 R +0 -2354 R 167 0 R 211 0 R 167 0 R D 20 setlinewidth L1 9779 9701 M 210 0 R +167 0 R 211 0 R 167 0 R 211 0 R 167 0 R 211 0 R 167 0 R 210 0 R 168 0 R +210 0 R 168 0 R 210 0 R 168 0 R 210 0 R 167 0 R 211 0 R 167 0 R 211 0 R +167 0 R 211 0 R 167 0 R 211 0 R 167 0 R 210 0 R 168 0 R 210 0 R 168 0 R +210 0 R 0 2130 R 168 0 R 210 0 R 0 -387 R 167 0 R 211 0 R 0 960 R 167 0 R +211 0 R 0 -2703 R 167 0 R 211 0 R 167 0 R D L2 9779 9701 M 210 0 R 167 0 R +211 0 R 0 1444 R 167 0 R 211 0 R 0 -12 R 167 0 R 211 0 R 0 -377 R 167 0 R +210 0 R 0 -108 R 168 0 R 210 0 R 0 367 R 168 0 R 210 0 R 0 89 R 168 0 R +210 0 R 0 -24 R 167 0 R 211 0 R 0 -1 R 167 0 R 211 0 R 0 -87 R 167 0 R +211 0 R 0 183 R 167 0 R 211 0 R 0 -230 R 167 0 R 210 0 R 0 50 R 168 0 R +210 0 R 0 853 R 168 0 R 210 0 R 0 -97 R 168 0 R 210 0 R 0 -656 R 167 0 R +211 0 R 0 960 R 167 0 R 211 0 R 0 -2354 R 167 0 R 211 0 R 167 0 R D +15 setlinewidth L0 1333 6878 M 7557 0 R D 1333 6878 M 0 57 R D +gsave 1333 6350 translate 0 0 M 1.0005 dup scale -58.8433 0 N +( ) show grestore 3090 6878 M 0 57 R D gsave 3090 6350 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 4847 6878 M 0 57 R D gsave 4847 6350 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 6604 6878 M 0 57 R D gsave 6604 6350 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 8361 6878 M 0 57 R D gsave 8361 6350 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 1862 6878 M 0 29 R D 2171 6878 M 0 29 R D 2391 6878 M +0 29 R D 2561 6878 M 0 29 R D 2700 6878 M 0 29 R D 2818 6878 M 0 29 R D +2920 6878 M 0 29 R D 3009 6878 M 0 29 R D 3619 6878 M 0 29 R D 3928 6878 M +0 29 R D 4148 6878 M 0 29 R D 4318 6878 M 0 29 R D 4457 6878 M 0 29 R D +4575 6878 M 0 29 R D 4677 6878 M 0 29 R D 4767 6878 M 0 29 R D 5376 6878 M +0 29 R D 5685 6878 M 0 29 R D 5905 6878 M 0 29 R D 6075 6878 M 0 29 R D +6214 6878 M 0 29 R D 6332 6878 M 0 29 R D 6434 6878 M 0 29 R D 6524 6878 M +0 29 R D 7133 6878 M 0 29 R D 7442 6878 M 0 29 R D 7662 6878 M 0 29 R D +7832 6878 M 0 29 R D 7971 6878 M 0 29 R D 8089 6878 M 0 29 R D 8191 6878 M +0 29 R D 8281 6878 M 0 29 R D 8890 6878 M 0 29 R D +gsave 5111 5892 translate 0 0 M 1.0005 dup scale -58.8433 0 N +( ) show grestore 1333 9701 M 7557 0 R D 1333 9701 M 0 -56 R D 3090 9701 M +0 -56 R D 4847 9701 M 0 -56 R D 6604 9701 M 0 -56 R D 8361 9701 M 0 -56 R D +1862 9701 M 0 -28 R D 2171 9701 M 0 -28 R D 2391 9701 M 0 -28 R D +2561 9701 M 0 -28 R D 2700 9701 M 0 -28 R D 2818 9701 M 0 -28 R D +2920 9701 M 0 -28 R D 3009 9701 M 0 -28 R D 3619 9701 M 0 -28 R D +3928 9701 M 0 -28 R D 4148 9701 M 0 -28 R D 4318 9701 M 0 -28 R D +4457 9701 M 0 -28 R D 4575 9701 M 0 -28 R D 4677 9701 M 0 -28 R D +4767 9701 M 0 -28 R D 5376 9701 M 0 -28 R D 5685 9701 M 0 -28 R D +5905 9701 M 0 -28 R D 6075 9701 M 0 -28 R D 6214 9701 M 0 -28 R D +6332 9701 M 0 -28 R D 6434 9701 M 0 -28 R D 6524 9701 M 0 -28 R D +7133 9701 M 0 -28 R D 7442 9701 M 0 -28 R D 7662 9701 M 0 -28 R D +7832 9701 M 0 -28 R D 7971 9701 M 0 -28 R D 8089 9701 M 0 -28 R D +8191 9701 M 0 -28 R D 8281 9701 M 0 -28 R D 8890 9701 M 0 -28 R D +1333 6878 M 0 2823 R D 1333 6878 M 151 0 R D gsave 1222 6878 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 1333 7819 M 151 0 R D gsave 1222 7678 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 1333 8760 M 151 0 R D gsave 1222 8619 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 1333 9701 M 151 0 R D gsave 1222 9455 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 1333 7162 M 75 0 R D 1333 7327 M 75 0 R D 1333 7445 M +75 0 R D 1333 7536 M 75 0 R D 1333 7611 M 75 0 R D 1333 7674 M 75 0 R D +1333 7728 M 75 0 R D 1333 7776 M 75 0 R D 1333 8103 M 75 0 R D 1333 8268 M +75 0 R D 1333 8386 M 75 0 R D 1333 8477 M 75 0 R D 1333 8551 M 75 0 R D +1333 8614 M 75 0 R D 1333 8669 M 75 0 R D 1333 8717 M 75 0 R D 1333 9043 M +75 0 R D 1333 9209 M 75 0 R D 1333 9327 M 75 0 R D 1333 9418 M 75 0 R D +1333 9492 M 75 0 R D 1333 9555 M 75 0 R D 1333 9610 M 75 0 R D 1333 9658 M +75 0 R D gsave 772 8290 translate 0 0 M 90 rotate 1.0005 dup scale +-58.8433 0 N +( ) show grestore 8890 6878 M 0 2823 R D 8890 6878 M -151 0 R D 8890 7819 M +-151 0 R D 8890 8760 M -151 0 R D 8890 9701 M -151 0 R D 8890 7162 M -75 0 R +D 8890 7327 M -75 0 R D 8890 7445 M -75 0 R D 8890 7536 M -75 0 R D +8890 7611 M -75 0 R D 8890 7674 M -75 0 R D 8890 7728 M -75 0 R D +8890 7776 M -75 0 R D 8890 8103 M -75 0 R D 8890 8268 M -75 0 R D +8890 8386 M -75 0 R D 8890 8477 M -75 0 R D 8890 8551 M -75 0 R D +8890 8614 M -75 0 R D 8890 8669 M -75 0 R D 8890 8717 M -75 0 R D +8890 9043 M -75 0 R D 8890 9209 M -75 0 R D 8890 9327 M -75 0 R D +8890 9418 M -75 0 R D 8890 9492 M -75 0 R D 8890 9555 M -75 0 R D +8890 9610 M -75 0 R D 8890 9658 M -75 0 R D 40 setlinewidth 1333 6878 M +251 0 R 0 824 R 188 0 R 251 0 R 0 23 R 188 0 R 251 0 R 0 767 R 189 0 R +250 0 R 0 341 R 189 0 R 251 0 R 0 18 R 188 0 R 251 0 R 0 -175 R 188 0 R +251 0 R 0 204 R 189 0 R 250 0 R 0 -295 R 189 0 R 251 0 R 0 77 R 188 0 R +251 0 R 0 -35 R 189 0 R 250 0 R 0 -1749 R 189 0 R 251 0 R 188 0 R 251 0 R +0 851 R 188 0 R 251 0 R 0 999 R 189 0 R 250 0 R 0 95 R 189 0 R 251 0 R +0 -438 R 188 0 R 251 0 R 0 -1507 R 188 0 R 90 0 R D 20 setlinewidth L1 +1333 6878 M 251 0 R 0 1109 R 188 0 R 251 0 R 0 22 R 188 0 R 251 0 R 0 768 R +189 0 R 250 0 R 0 340 R 189 0 R 251 0 R 0 18 R 188 0 R 251 0 R 0 -174 R +188 0 R 251 0 R 0 1 R 189 0 R 250 0 R 0 -605 R 189 0 R 251 0 R 0 -527 R +188 0 R 251 0 R 0 -952 R 189 0 R 250 0 R 189 0 R 251 0 R 188 0 R 251 0 R +188 0 R 251 0 R 189 0 R 250 0 R 189 0 R 251 0 R 188 0 R 251 0 R 188 0 R +90 0 R D L2 1333 6878 M 251 0 R 0 1520 R 188 0 R 251 0 R 0 -74 R 188 0 R +251 0 R 0 485 R 189 0 R 250 0 R 0 -577 R 189 0 R 251 0 R 0 374 R 188 0 R +251 0 R 0 218 R 188 0 R 251 0 R 0 -426 R 189 0 R 250 0 R 0 254 R 189 0 R +251 0 R 0 77 R 188 0 R 251 0 R 0 -34 R 189 0 R 250 0 R 0 -1817 R 189 0 R +251 0 R 188 0 R 251 0 R 0 918 R 188 0 R 251 0 R 0 1000 R 189 0 R 250 0 R +0 94 R 189 0 R 251 0 R 0 -437 R 188 0 R 251 0 R 0 -1575 R 188 0 R 90 0 R D +gsave 1472 9043 translate 0 0 M 1.1 dup scale +( L < 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(11) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( L) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show +%%IncludeResource: font Helvetica +186.267 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 15 setlinewidth L0 9779 6878 M 7557 0 R D +9779 6878 M 0 57 R D gsave 9779 6350 translate 0 0 M 1.0005 dup scale +-58.8433 0 N +( ) show grestore 11668 6878 M 0 57 R D gsave 11668 6350 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 13557 6878 M 0 57 R D gsave 13557 6350 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 15447 6878 M 0 57 R D gsave 15447 6350 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 17336 6878 M 0 57 R D gsave 17336 6350 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 10347 6878 M 0 29 R D 10680 6878 M 0 29 R D 10916 6878 M +0 29 R D 11099 6878 M 0 29 R D 11249 6878 M 0 29 R D 11375 6878 M 0 29 R D +11485 6878 M 0 29 R D 11581 6878 M 0 29 R D 12237 6878 M 0 29 R D +12569 6878 M 0 29 R D 12805 6878 M 0 29 R D 12988 6878 M 0 29 R D +13138 6878 M 0 29 R D 13265 6878 M 0 29 R D 13374 6878 M 0 29 R D +13471 6878 M 0 29 R D 14126 6878 M 0 29 R D 14459 6878 M 0 29 R D +14695 6878 M 0 29 R D 14878 6878 M 0 29 R D 15027 6878 M 0 29 R D +15154 6878 M 0 29 R D 15263 6878 M 0 29 R D 15360 6878 M 0 29 R D +16015 6878 M 0 29 R D 16348 6878 M 0 29 R D 16584 6878 M 0 29 R D +16767 6878 M 0 29 R D 16917 6878 M 0 29 R D 17043 6878 M 0 29 R D +17153 6878 M 0 29 R D 17249 6878 M 0 29 R D gsave 13557 5892 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 9779 9701 M 7557 0 R D 9779 9701 M 0 -56 R D 11668 9701 M +0 -56 R D 13557 9701 M 0 -56 R D 15447 9701 M 0 -56 R D 17336 9701 M 0 -56 R +D 10347 9701 M 0 -28 R D 10680 9701 M 0 -28 R D 10916 9701 M 0 -28 R D +11099 9701 M 0 -28 R D 11249 9701 M 0 -28 R D 11375 9701 M 0 -28 R D +11485 9701 M 0 -28 R D 11581 9701 M 0 -28 R D 12237 9701 M 0 -28 R D +12569 9701 M 0 -28 R D 12805 9701 M 0 -28 R D 12988 9701 M 0 -28 R D +13138 9701 M 0 -28 R D 13265 9701 M 0 -28 R D 13374 9701 M 0 -28 R D +13471 9701 M 0 -28 R D 14126 9701 M 0 -28 R D 14459 9701 M 0 -28 R D +14695 9701 M 0 -28 R D 14878 9701 M 0 -28 R D 15027 9701 M 0 -28 R D +15154 9701 M 0 -28 R D 15263 9701 M 0 -28 R D 15360 9701 M 0 -28 R D +16015 9701 M 0 -28 R D 16348 9701 M 0 -28 R D 16584 9701 M 0 -28 R D +16767 9701 M 0 -28 R D 16917 9701 M 0 -28 R D 17043 9701 M 0 -28 R D +17153 9701 M 0 -28 R D 17249 9701 M 0 -28 R D 9779 6878 M 0 2823 R D +9779 6878 M 151 0 R D gsave 9667 6878 translate 0 0 M 1.0005 dup scale +-117.687 0 N +( ) show grestore 9779 7819 M 151 0 R D gsave 9667 7678 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 9779 8760 M 151 0 R D gsave 9667 8619 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 9779 9701 M 151 0 R D gsave 9667 9455 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 9779 7162 M 75 0 R D 9779 7327 M 75 0 R D 9779 7445 M +75 0 R D 9779 7536 M 75 0 R D 9779 7611 M 75 0 R D 9779 7674 M 75 0 R D +9779 7728 M 75 0 R D 9779 7776 M 75 0 R D 9779 8103 M 75 0 R D 9779 8268 M +75 0 R D 9779 8386 M 75 0 R D 9779 8477 M 75 0 R D 9779 8551 M 75 0 R D +9779 8614 M 75 0 R D 9779 8669 M 75 0 R D 9779 8717 M 75 0 R D 9779 9043 M +75 0 R D 9779 9209 M 75 0 R D 9779 9327 M 75 0 R D 9779 9418 M 75 0 R D +9779 9492 M 75 0 R D 9779 9555 M 75 0 R D 9779 9610 M 75 0 R D 9779 9658 M +75 0 R D gsave 9217 8290 translate 0 0 M 90 rotate 1.0005 dup scale +-58.8433 0 N +( ) show grestore 17336 6878 M 0 2823 R D 17336 6878 M -151 0 R D +17336 7819 M -151 0 R D 17336 8760 M -151 0 R D 17336 9701 M -151 0 R D +17336 7162 M -76 0 R D 17336 7327 M -76 0 R D 17336 7445 M -76 0 R D +17336 7536 M -76 0 R D 17336 7611 M -76 0 R D 17336 7674 M -76 0 R D +17336 7728 M -76 0 R D 17336 7776 M -76 0 R D 17336 8103 M -76 0 R D +17336 8268 M -76 0 R D 17336 8386 M -76 0 R D 17336 8477 M -76 0 R D +17336 8551 M -76 0 R D 17336 8614 M -76 0 R D 17336 8669 M -76 0 R D +17336 8717 M -76 0 R D 17336 9043 M -76 0 R D 17336 9209 M -76 0 R D +17336 9327 M -76 0 R D 17336 9418 M -76 0 R D 17336 9492 M -76 0 R D +17336 9555 M -76 0 R D 17336 9610 M -76 0 R D 17336 9658 M -76 0 R D +40 setlinewidth 9779 6878 M 210 0 R 167 0 R 211 0 R 0 1571 R 167 0 R 211 0 R +0 -13 R 167 0 R 211 0 R 0 -377 R 167 0 R 210 0 R 0 -108 R 168 0 R 210 0 R +0 367 R 168 0 R 210 0 R 0 90 R 168 0 R 210 0 R 0 -25 R 167 0 R 211 0 R +0 -589 R 167 0 R 211 0 R 0 -333 R 167 0 R 211 0 R 0 -31 R 167 0 R 211 0 R +0 -552 R 167 0 R 210 0 R 168 0 R 210 0 R 0 2036 R 168 0 R 210 0 R 0 86 R +168 0 R 210 0 R 0 -1968 R 167 0 R 211 0 R 0 2311 R 167 0 R 211 0 R 0 -2465 R +167 0 R 211 0 R 167 0 R D 20 setlinewidth L1 9779 6878 M 210 0 R 167 0 R +211 0 R 167 0 R 211 0 R 167 0 R 211 0 R 167 0 R 210 0 R 168 0 R 210 0 R +168 0 R 210 0 R 168 0 R 210 0 R 167 0 R 211 0 R 167 0 R 211 0 R 167 0 R +211 0 R 167 0 R 211 0 R 167 0 R 210 0 R 168 0 R 210 0 R 168 0 R 210 0 R +0 2080 R 168 0 R 210 0 R 0 -1641 R 167 0 R 211 0 R 0 2310 R 167 0 R 211 0 R +0 -2749 R 167 0 R 211 0 R 167 0 R D L2 9779 6878 M 210 0 R 167 0 R 211 0 R +0 1638 R 167 0 R 211 0 R 0 -12 R 167 0 R 211 0 R 0 -377 R 167 0 R 210 0 R +0 -108 R 168 0 R 210 0 R 0 367 R 168 0 R 210 0 R 0 89 R 168 0 R 210 0 R +0 -25 R 167 0 R 211 0 R 0 -588 R 167 0 R 211 0 R 0 -334 R 167 0 R 211 0 R +0 -31 R 167 0 R 211 0 R 0 -619 R 167 0 R 210 0 R 168 0 R 210 0 R 0 2103 R +168 0 R 210 0 R 0 87 R 168 0 R 210 0 R 0 -1969 R 167 0 R 211 0 R 0 2125 R +167 0 R 211 0 R 0 -2346 R 167 0 R 211 0 R 167 0 R D 15 setlinewidth L0 +1333 4056 M 7557 0 R D 1333 4056 M 0 56 R D gsave 1333 3527 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 3090 4056 M 0 56 R D gsave 3090 3527 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 4847 4056 M 0 56 R D gsave 4847 3527 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 6604 4056 M 0 56 R D gsave 6604 3527 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 8361 4056 M 0 56 R D gsave 8361 3527 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 1862 4056 M 0 28 R D 2171 4056 M 0 28 R D 2391 4056 M +0 28 R D 2561 4056 M 0 28 R D 2700 4056 M 0 28 R D 2818 4056 M 0 28 R D +2920 4056 M 0 28 R D 3009 4056 M 0 28 R D 3619 4056 M 0 28 R D 3928 4056 M +0 28 R D 4148 4056 M 0 28 R D 4318 4056 M 0 28 R D 4457 4056 M 0 28 R D +4575 4056 M 0 28 R D 4677 4056 M 0 28 R D 4767 4056 M 0 28 R D 5376 4056 M +0 28 R D 5685 4056 M 0 28 R D 5905 4056 M 0 28 R D 6075 4056 M 0 28 R D +6214 4056 M 0 28 R D 6332 4056 M 0 28 R D 6434 4056 M 0 28 R D 6524 4056 M +0 28 R D 7133 4056 M 0 28 R D 7442 4056 M 0 28 R D 7662 4056 M 0 28 R D +7832 4056 M 0 28 R D 7971 4056 M 0 28 R D 8089 4056 M 0 28 R D 8191 4056 M +0 28 R D 8281 4056 M 0 28 R D 8890 4056 M 0 28 R D +gsave 5111 3069 translate 0 0 M 1.0005 dup scale -58.8433 0 N +( ) show grestore 1333 6878 M 7557 0 R D 1333 6878 M 0 -56 R D 3090 6878 M +0 -56 R D 4847 6878 M 0 -56 R D 6604 6878 M 0 -56 R D 8361 6878 M 0 -56 R D +1862 6878 M 0 -28 R D 2171 6878 M 0 -28 R D 2391 6878 M 0 -28 R D +2561 6878 M 0 -28 R D 2700 6878 M 0 -28 R D 2818 6878 M 0 -28 R D +2920 6878 M 0 -28 R D 3009 6878 M 0 -28 R D 3619 6878 M 0 -28 R D +3928 6878 M 0 -28 R D 4148 6878 M 0 -28 R D 4318 6878 M 0 -28 R D +4457 6878 M 0 -28 R D 4575 6878 M 0 -28 R D 4677 6878 M 0 -28 R D +4767 6878 M 0 -28 R D 5376 6878 M 0 -28 R D 5685 6878 M 0 -28 R D +5905 6878 M 0 -28 R D 6075 6878 M 0 -28 R D 6214 6878 M 0 -28 R D +6332 6878 M 0 -28 R D 6434 6878 M 0 -28 R D 6524 6878 M 0 -28 R D +7133 6878 M 0 -28 R D 7442 6878 M 0 -28 R D 7662 6878 M 0 -28 R D +7832 6878 M 0 -28 R D 7971 6878 M 0 -28 R D 8089 6878 M 0 -28 R D +8191 6878 M 0 -28 R D 8281 6878 M 0 -28 R D 8890 6878 M 0 -28 R D +1333 4056 M 0 2822 R D 1333 4056 M 151 0 R D gsave 1222 4056 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 1333 4996 M 151 0 R D gsave 1222 4856 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 1333 5937 M 151 0 R D gsave 1222 5797 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 1333 6878 M 151 0 R D gsave 1222 6632 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 1333 4339 M 75 0 R D 1333 4504 M 75 0 R D 1333 4622 M +75 0 R D 1333 4713 M 75 0 R D 1333 4788 M 75 0 R D 1333 4851 M 75 0 R D +1333 4905 M 75 0 R D 1333 4953 M 75 0 R D 1333 5280 M 75 0 R D 1333 5445 M +75 0 R D 1333 5563 M 75 0 R D 1333 5654 M 75 0 R D 1333 5729 M 75 0 R D +1333 5792 M 75 0 R D 1333 5846 M 75 0 R D 1333 5894 M 75 0 R D 1333 6221 M +75 0 R D 1333 6386 M 75 0 R D 1333 6504 M 75 0 R D 1333 6595 M 75 0 R D +1333 6670 M 75 0 R D 1333 6733 M 75 0 R D 1333 6787 M 75 0 R D 1333 6835 M +75 0 R D gsave 772 5467 translate 0 0 M 90 rotate 1.0005 dup scale +-4435.05 0 N +( Logarithmic Probability Distribution) show grestore +8890 4056 M 0 2822 R D 8890 4056 M -151 0 R D 8890 4996 M -151 0 R D +8890 5937 M -151 0 R D 8890 6878 M -151 0 R D 8890 4339 M -75 0 R D +8890 4504 M -75 0 R D 8890 4622 M -75 0 R D 8890 4713 M -75 0 R D +8890 4788 M -75 0 R D 8890 4851 M -75 0 R D 8890 4905 M -75 0 R D +8890 4953 M -75 0 R D 8890 5280 M -75 0 R D 8890 5445 M -75 0 R D +8890 5563 M -75 0 R D 8890 5654 M -75 0 R D 8890 5729 M -75 0 R D +8890 5792 M -75 0 R D 8890 5846 M -75 0 R D 8890 5894 M -75 0 R D +8890 6221 M -75 0 R D 8890 6386 M -75 0 R D 8890 6504 M -75 0 R D +8890 6595 M -75 0 R D 8890 6670 M -75 0 R D 8890 6733 M -75 0 R D +8890 6787 M -75 0 R D 8890 6835 M -75 0 R D 40 setlinewidth 1333 4056 M +251 0 R 188 0 R 251 0 R 188 0 R 251 0 R 189 0 R 250 0 R 189 0 R 251 0 R +188 0 R 251 0 R 188 0 R 251 0 R 189 0 R 250 0 R 189 0 R 251 0 R 0 1303 R +188 0 R 251 0 R 0 200 R 189 0 R 250 0 R 0 717 R 189 0 R 251 0 R 0 -389 R +188 0 R 251 0 R 0 -11 R 188 0 R 251 0 R 0 373 R 189 0 R 250 0 R 0 162 R +189 0 R 251 0 R 0 -2355 R 188 0 R 251 0 R 188 0 R 90 0 R D 20 setlinewidth +L1 1333 4056 M 251 0 R 188 0 R 251 0 R 188 0 R 251 0 R 189 0 R 250 0 R +189 0 R 251 0 R 188 0 R 251 0 R 188 0 R 251 0 R 189 0 R 250 0 R 189 0 R +251 0 R 0 2217 R 188 0 R 251 0 R 0 22 R 189 0 R 250 0 R 0 137 R 189 0 R +251 0 R 0 -374 R 188 0 R 251 0 R 0 -306 R 188 0 R 251 0 R 0 -1696 R 189 0 R +250 0 R 189 0 R 251 0 R 188 0 R 251 0 R 188 0 R 90 0 R D L2 1333 4056 M +251 0 R 188 0 R 251 0 R 188 0 R 251 0 R 189 0 R 250 0 R 189 0 R 251 0 R +188 0 R 251 0 R 188 0 R 251 0 R 189 0 R 250 0 R 189 0 R 251 0 R 0 1303 R +188 0 R 251 0 R 0 200 R 189 0 R 250 0 R 0 717 R 189 0 R 251 0 R 0 -389 R +188 0 R 251 0 R 0 -11 R 188 0 R 251 0 R 0 373 R 189 0 R 250 0 R 0 162 R +189 0 R 251 0 R 0 -2355 R 188 0 R 251 0 R 188 0 R 90 0 R D +gsave 1472 6221 translate 0 0 M 1.1 dup scale +( 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(11) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( L) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( < L < 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(12) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( L) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show +%%IncludeResource: font Helvetica +186.267 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 15 setlinewidth L0 9779 4056 M 7557 0 R D +9779 4056 M 0 56 R D gsave 9779 3527 translate 0 0 M 1.0005 dup scale +-58.8433 0 N +( ) show grestore 11668 4056 M 0 56 R D gsave 11668 3527 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 13557 4056 M 0 56 R D gsave 13557 3527 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 15447 4056 M 0 56 R D gsave 15447 3527 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 17336 4056 M 0 56 R D gsave 17336 3527 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 10347 4056 M 0 28 R D 10680 4056 M 0 28 R D 10916 4056 M +0 28 R D 11099 4056 M 0 28 R D 11249 4056 M 0 28 R D 11375 4056 M 0 28 R D +11485 4056 M 0 28 R D 11581 4056 M 0 28 R D 12237 4056 M 0 28 R D +12569 4056 M 0 28 R D 12805 4056 M 0 28 R D 12988 4056 M 0 28 R D +13138 4056 M 0 28 R D 13265 4056 M 0 28 R D 13374 4056 M 0 28 R D +13471 4056 M 0 28 R D 14126 4056 M 0 28 R D 14459 4056 M 0 28 R D +14695 4056 M 0 28 R D 14878 4056 M 0 28 R D 15027 4056 M 0 28 R D +15154 4056 M 0 28 R D 15263 4056 M 0 28 R D 15360 4056 M 0 28 R D +16015 4056 M 0 28 R D 16348 4056 M 0 28 R D 16584 4056 M 0 28 R D +16767 4056 M 0 28 R D 16917 4056 M 0 28 R D 17043 4056 M 0 28 R D +17153 4056 M 0 28 R D 17249 4056 M 0 28 R D gsave 13557 3069 translate 0 0 M +1.0005 dup scale -58.8433 0 N +( ) show grestore 9779 6878 M 7557 0 R D 9779 6878 M 0 -56 R D 11668 6878 M +0 -56 R D 13557 6878 M 0 -56 R D 15447 6878 M 0 -56 R D 17336 6878 M 0 -56 R +D 10347 6878 M 0 -28 R D 10680 6878 M 0 -28 R D 10916 6878 M 0 -28 R D +11099 6878 M 0 -28 R D 11249 6878 M 0 -28 R D 11375 6878 M 0 -28 R D +11485 6878 M 0 -28 R D 11581 6878 M 0 -28 R D 12237 6878 M 0 -28 R D +12569 6878 M 0 -28 R D 12805 6878 M 0 -28 R D 12988 6878 M 0 -28 R D +13138 6878 M 0 -28 R D 13265 6878 M 0 -28 R D 13374 6878 M 0 -28 R D +13471 6878 M 0 -28 R D 14126 6878 M 0 -28 R D 14459 6878 M 0 -28 R D +14695 6878 M 0 -28 R D 14878 6878 M 0 -28 R D 15027 6878 M 0 -28 R D +15154 6878 M 0 -28 R D 15263 6878 M 0 -28 R D 15360 6878 M 0 -28 R D +16015 6878 M 0 -28 R D 16348 6878 M 0 -28 R D 16584 6878 M 0 -28 R D +16767 6878 M 0 -28 R D 16917 6878 M 0 -28 R D 17043 6878 M 0 -28 R D +17153 6878 M 0 -28 R D 17249 6878 M 0 -28 R D 9779 4056 M 0 2822 R D +9779 4056 M 151 0 R D gsave 9667 4056 translate 0 0 M 1.0005 dup scale +-117.687 0 N +( ) show grestore 9779 4996 M 151 0 R D gsave 9667 4856 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 9779 5937 M 151 0 R D gsave 9667 5797 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 9779 6878 M 151 0 R D gsave 9667 6632 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 9779 4339 M 75 0 R D 9779 4504 M 75 0 R D 9779 4622 M +75 0 R D 9779 4713 M 75 0 R D 9779 4788 M 75 0 R D 9779 4851 M 75 0 R D +9779 4905 M 75 0 R D 9779 4953 M 75 0 R D 9779 5280 M 75 0 R D 9779 5445 M +75 0 R D 9779 5563 M 75 0 R D 9779 5654 M 75 0 R D 9779 5729 M 75 0 R D +9779 5792 M 75 0 R D 9779 5846 M 75 0 R D 9779 5894 M 75 0 R D 9779 6221 M +75 0 R D 9779 6386 M 75 0 R D 9779 6504 M 75 0 R D 9779 6595 M 75 0 R D +9779 6670 M 75 0 R D 9779 6733 M 75 0 R D 9779 6787 M 75 0 R D 9779 6835 M +75 0 R D gsave 9217 5467 translate 0 0 M 90 rotate 1.0005 dup scale +-58.8433 0 N +( ) show grestore 17336 4056 M 0 2822 R D 17336 4056 M -151 0 R D +17336 4996 M -151 0 R D 17336 5937 M -151 0 R D 17336 6878 M -151 0 R D +17336 4339 M -76 0 R D 17336 4504 M -76 0 R D 17336 4622 M -76 0 R D +17336 4713 M -76 0 R D 17336 4788 M -76 0 R D 17336 4851 M -76 0 R D +17336 4905 M -76 0 R D 17336 4953 M -76 0 R D 17336 5280 M -76 0 R D +17336 5445 M -76 0 R D 17336 5563 M -76 0 R D 17336 5654 M -76 0 R D +17336 5729 M -76 0 R D 17336 5792 M -76 0 R D 17336 5846 M -76 0 R D +17336 5894 M -76 0 R D 17336 6221 M -76 0 R D 17336 6386 M -76 0 R D +17336 6504 M -76 0 R D 17336 6595 M -76 0 R D 17336 6670 M -76 0 R D +17336 6733 M -76 0 R D 17336 6787 M -76 0 R D 17336 6835 M -76 0 R D +40 setlinewidth 9779 4056 M 210 0 R 167 0 R 211 0 R 167 0 R 211 0 R 167 0 R +211 0 R 167 0 R 210 0 R 168 0 R 210 0 R 168 0 R 210 0 R 168 0 R 210 0 R +167 0 R 211 0 R 0 1866 R 167 0 R 211 0 R 0 -33 R 167 0 R 211 0 R 0 208 R +167 0 R 211 0 R 0 -198 R 167 0 R 210 0 R 0 51 R 168 0 R 210 0 R 0 518 R +168 0 R 210 0 R 0 -1234 R 168 0 R 210 0 R 0 417 R 167 0 R 211 0 R 0 -94 R +167 0 R 211 0 R 0 -1501 R 167 0 R 211 0 R 167 0 R D 20 setlinewidth L1 +9779 4056 M 210 0 R 167 0 R 211 0 R 167 0 R 211 0 R 167 0 R 211 0 R 167 0 R +210 0 R 168 0 R 210 0 R 168 0 R 210 0 R 168 0 R 210 0 R 167 0 R 211 0 R +167 0 R 211 0 R 167 0 R 211 0 R 167 0 R 211 0 R 167 0 R 210 0 R 168 0 R +210 0 R 168 0 R 210 0 R 0 2091 R 168 0 R 210 0 R 0 417 R 167 0 R 211 0 R +0 -93 R 167 0 R 211 0 R 0 -2415 R 167 0 R 211 0 R 167 0 R D L2 9779 4056 M +210 0 R 167 0 R 211 0 R 167 0 R 211 0 R 167 0 R 211 0 R 167 0 R 210 0 R +168 0 R 210 0 R 168 0 R 210 0 R 168 0 R 210 0 R 167 0 R 211 0 R 0 1866 R +167 0 R 211 0 R 0 -33 R 167 0 R 211 0 R 0 208 R 167 0 R 211 0 R 0 -198 R +167 0 R 210 0 R 0 51 R 168 0 R 210 0 R 0 518 R 168 0 R 210 0 R 0 -1234 R +168 0 R 210 0 R 0 417 R 167 0 R 211 0 R 0 -94 R 167 0 R 211 0 R 0 -1501 R +167 0 R 211 0 R 167 0 R D 15 setlinewidth L0 1333 1233 M 7557 0 R D +1333 1233 M 0 56 R D gsave 1333 704 translate 0 0 M 1.0005 dup scale +-647.277 0 N +(0.0001) show grestore 3090 1233 M 0 56 R D gsave 3090 704 translate 0 0 M +1.0005 dup scale -529.59 0 N +(0.001) show grestore 4847 1233 M 0 56 R D gsave 4847 704 translate 0 0 M +1.0005 dup scale -411.903 0 N +(0.01) show grestore 6604 1233 M 0 56 R D gsave 6604 704 translate 0 0 M +1.0005 dup scale -294.217 0 N +(0.1) show grestore 8361 1233 M 0 56 R D gsave 8361 704 translate 0 0 M +1.0005 dup scale -294.217 0 N +(1.0) show grestore 1862 1233 M 0 28 R D 2171 1233 M 0 28 R D 2391 1233 M +0 28 R D 2561 1233 M 0 28 R D 2700 1233 M 0 28 R D 2818 1233 M 0 28 R D +2920 1233 M 0 28 R D 3009 1233 M 0 28 R D 3619 1233 M 0 28 R D 3928 1233 M +0 28 R D 4148 1233 M 0 28 R D 4318 1233 M 0 28 R D 4457 1233 M 0 28 R D +4575 1233 M 0 28 R D 4677 1233 M 0 28 R D 4767 1233 M 0 28 R D 5376 1233 M +0 28 R D 5685 1233 M 0 28 R D 5905 1233 M 0 28 R D 6075 1233 M 0 28 R D +6214 1233 M 0 28 R D 6332 1233 M 0 28 R D 6434 1233 M 0 28 R D 6524 1233 M +0 28 R D 7133 1233 M 0 28 R D 7442 1233 M 0 28 R D 7662 1233 M 0 28 R D +7832 1233 M 0 28 R D 7971 1233 M 0 28 R D 8089 1233 M 0 28 R D 8191 1233 M +0 28 R D 8281 1233 M 0 28 R D 8890 1233 M 0 28 R D +gsave 5111 247 translate 0 0 M 1.0005 dup scale -2136.1 0 N +(Eddington Ratio L/L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(EDD) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 1333 4056 M 7557 0 R D 1333 4056 M 0 -57 R D +3090 4056 M 0 -57 R D 4847 4056 M 0 -57 R D 6604 4056 M 0 -57 R D +8361 4056 M 0 -57 R D 1862 4056 M 0 -29 R D 2171 4056 M 0 -29 R D +2391 4056 M 0 -29 R D 2561 4056 M 0 -29 R D 2700 4056 M 0 -29 R D +2818 4056 M 0 -29 R D 2920 4056 M 0 -29 R D 3009 4056 M 0 -29 R D +3619 4056 M 0 -29 R D 3928 4056 M 0 -29 R D 4148 4056 M 0 -29 R D +4318 4056 M 0 -29 R D 4457 4056 M 0 -29 R D 4575 4056 M 0 -29 R D +4677 4056 M 0 -29 R D 4767 4056 M 0 -29 R D 5376 4056 M 0 -29 R D +5685 4056 M 0 -29 R D 5905 4056 M 0 -29 R D 6075 4056 M 0 -29 R D +6214 4056 M 0 -29 R D 6332 4056 M 0 -29 R D 6434 4056 M 0 -29 R D +6524 4056 M 0 -29 R D 7133 4056 M 0 -29 R D 7442 4056 M 0 -29 R D +7662 4056 M 0 -29 R D 7832 4056 M 0 -29 R D 7971 4056 M 0 -29 R D +8089 4056 M 0 -29 R D 8191 4056 M 0 -29 R D 8281 4056 M 0 -29 R D +8890 4056 M 0 -29 R D 1333 1233 M 0 2823 R D 1333 1233 M 151 0 R D +gsave 1222 1233 translate 0 0 M 1.0005 dup scale -117.687 0 N +( ) show grestore 1333 2174 M 151 0 R D gsave 1222 2033 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 1333 3115 M 151 0 R D gsave 1222 2974 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 1333 4056 M 151 0 R D gsave 1222 3809 translate 0 0 M +1.0005 dup scale -117.687 0 N +( ) show grestore 1333 1516 M 75 0 R D 1333 1682 M 75 0 R D 1333 1799 M +75 0 R D 1333 1890 M 75 0 R D 1333 1965 M 75 0 R D 1333 2028 M 75 0 R D +1333 2082 M 75 0 R D 1333 2131 M 75 0 R D 1333 2457 M 75 0 R D 1333 2623 M +75 0 R D 1333 2740 M 75 0 R D 1333 2831 M 75 0 R D 1333 2906 M 75 0 R D +1333 2969 M 75 0 R D 1333 3023 M 75 0 R D 1333 3072 M 75 0 R D 1333 3398 M +75 0 R D 1333 3564 M 75 0 R D 1333 3681 M 75 0 R D 1333 3772 M 75 0 R D +1333 3847 M 75 0 R D 1333 3910 M 75 0 R D 1333 3964 M 75 0 R D 1333 4012 M +75 0 R D gsave 772 2644 translate 0 0 M 90 rotate 1.0005 dup scale +-58.8433 0 N +( ) show grestore 8890 1233 M 0 2823 R D 8890 1233 M -151 0 R D 8890 2174 M +-151 0 R D 8890 3115 M -151 0 R D 8890 4056 M -151 0 R D 8890 1516 M -75 0 R +D 8890 1682 M -75 0 R D 8890 1799 M -75 0 R D 8890 1890 M -75 0 R D +8890 1965 M -75 0 R D 8890 2028 M -75 0 R D 8890 2082 M -75 0 R D +8890 2131 M -75 0 R D 8890 2457 M -75 0 R D 8890 2623 M -75 0 R D +8890 2740 M -75 0 R D 8890 2831 M -75 0 R D 8890 2906 M -75 0 R D +8890 2969 M -75 0 R D 8890 3023 M -75 0 R D 8890 3072 M -75 0 R D +8890 3398 M -75 0 R D 8890 3564 M -75 0 R D 8890 3681 M -75 0 R D +8890 3772 M -75 0 R D 8890 3847 M -75 0 R D 8890 3910 M -75 0 R D +8890 3964 M -75 0 R D 8890 4012 M -75 0 R D 40 setlinewidth 1333 1233 M +251 0 R 188 0 R 251 0 R 188 0 R 251 0 R 189 0 R 250 0 R 189 0 R 251 0 R +188 0 R 251 0 R 188 0 R 251 0 R 189 0 R 250 0 R 189 0 R 251 0 R 188 0 R +251 0 R 189 0 R 250 0 R 189 0 R 251 0 R 188 0 R 251 0 R 0 1962 R 188 0 R +251 0 R 0 -295 R 189 0 R 250 0 R 0 847 R 189 0 R 251 0 R 0 -130 R 188 0 R +251 0 R 0 -1577 R 188 0 R 90 0 R D 20 setlinewidth L1 1333 1233 M 251 0 R +188 0 R 251 0 R 188 0 R 251 0 R 189 0 R 250 0 R 189 0 R 251 0 R 188 0 R +251 0 R 188 0 R 251 0 R 189 0 R 250 0 R 189 0 R 251 0 R 188 0 R 251 0 R +189 0 R 250 0 R 189 0 R 251 0 R 188 0 R 251 0 R 0 1962 R 188 0 R 251 0 R +0 -295 R 189 0 R 250 0 R 0 847 R 189 0 R 251 0 R 0 -130 R 188 0 R 251 0 R +0 -1577 R 188 0 R 90 0 R D L2 1333 1233 M 251 0 R 188 0 R 251 0 R 188 0 R +251 0 R 189 0 R 250 0 R 189 0 R 251 0 R 188 0 R 251 0 R 188 0 R 251 0 R +189 0 R 250 0 R 189 0 R 251 0 R 188 0 R 251 0 R 189 0 R 250 0 R 189 0 R +251 0 R 188 0 R 251 0 R 0 1962 R 188 0 R 251 0 R 0 -295 R 189 0 R 250 0 R +0 847 R 189 0 R 251 0 R 0 -130 R 188 0 R 251 0 R 0 -1577 R 188 0 R 90 0 R D +gsave 1472 3398 translate 0 0 M 1.1 dup scale +( L > 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(12) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( L) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show +%%IncludeResource: font Helvetica +186.267 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 15 setlinewidth L0 9779 1233 M 7557 0 R D +9779 1233 M 0 56 R D gsave 9779 704 translate 0 0 M 1.0005 dup scale +-308.339 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(5) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 11668 1233 M 0 56 R D +gsave 11668 704 translate 0 0 M 1.0005 dup scale -308.339 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(6) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 13557 1233 M 0 56 R D +gsave 13557 704 translate 0 0 M 1.0005 dup scale -308.339 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(7) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 15447 1233 M 0 56 R D +gsave 15447 704 translate 0 0 M 1.0005 dup scale -308.339 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(8) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 17336 1233 M 0 56 R D +gsave 17336 704 translate 0 0 M 1.0005 dup scale -308.339 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(9) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 10347 1233 M 0 28 R D 10680 1233 M 0 28 R D +10916 1233 M 0 28 R D 11099 1233 M 0 28 R D 11249 1233 M 0 28 R D +11375 1233 M 0 28 R D 11485 1233 M 0 28 R D 11581 1233 M 0 28 R D +12237 1233 M 0 28 R D 12569 1233 M 0 28 R D 12805 1233 M 0 28 R D +12988 1233 M 0 28 R D 13138 1233 M 0 28 R D 13265 1233 M 0 28 R D +13374 1233 M 0 28 R D 13471 1233 M 0 28 R D 14126 1233 M 0 28 R D +14459 1233 M 0 28 R D 14695 1233 M 0 28 R D 14878 1233 M 0 28 R D +15027 1233 M 0 28 R D 15154 1233 M 0 28 R D 15263 1233 M 0 28 R D +15360 1233 M 0 28 R D 16015 1233 M 0 28 R D 16348 1233 M 0 28 R D +16584 1233 M 0 28 R D 16767 1233 M 0 28 R D 16917 1233 M 0 28 R D +17043 1233 M 0 28 R D 17153 1233 M 0 28 R D 17249 1233 M 0 28 R D +gsave 13557 247 translate 0 0 M 1.0005 dup scale -2042.06 0 N +(Black Hole Mass \(M) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\)) show grestore 9779 4056 M 7557 0 R D 9779 4056 M 0 -57 R D 11668 4056 M +0 -57 R D 13557 4056 M 0 -57 R D 15447 4056 M 0 -57 R D 17336 4056 M 0 -57 R +D 10347 4056 M 0 -29 R D 10680 4056 M 0 -29 R D 10916 4056 M 0 -29 R D +11099 4056 M 0 -29 R D 11249 4056 M 0 -29 R D 11375 4056 M 0 -29 R D +11485 4056 M 0 -29 R D 11581 4056 M 0 -29 R D 12237 4056 M 0 -29 R D +12569 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M 75 0 R D 9779 1799 M +75 0 R D 9779 1890 M 75 0 R D 9779 1965 M 75 0 R D 9779 2028 M 75 0 R D +9779 2082 M 75 0 R D 9779 2131 M 75 0 R D 9779 2457 M 75 0 R D 9779 2623 M +75 0 R D 9779 2740 M 75 0 R D 9779 2831 M 75 0 R D 9779 2906 M 75 0 R D +9779 2969 M 75 0 R D 9779 3023 M 75 0 R D 9779 3072 M 75 0 R D 9779 3398 M +75 0 R D 9779 3564 M 75 0 R D 9779 3681 M 75 0 R D 9779 3772 M 75 0 R D +9779 3847 M 75 0 R D 9779 3910 M 75 0 R D 9779 3964 M 75 0 R D 9779 4012 M +75 0 R D gsave 9217 2644 translate 0 0 M 90 rotate 1.0005 dup scale +-58.8433 0 N +( ) show grestore 17336 1233 M 0 2823 R D 17336 1233 M -151 0 R D +17336 2174 M -151 0 R D 17336 3115 M -151 0 R D 17336 4056 M -151 0 R D +17336 1516 M -76 0 R D 17336 1682 M -76 0 R D 17336 1799 M -76 0 R D +17336 1890 M -76 0 R D 17336 1965 M -76 0 R D 17336 2028 M -76 0 R D +17336 2082 M -76 0 R D 17336 2131 M -76 0 R D 17336 2457 M -76 0 R D +17336 2623 M -76 0 R D 17336 2740 M -76 0 R D 17336 2831 M -76 0 R D +17336 2906 M -76 0 R D 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+%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2003 Research Systems, Inc. All Rights Reserved. +%v 4 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef end 2.5 setmiterlimit +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 558 720 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 2242 6706 M 7433 0 R D +2863 6706 M 0 105 R D gsave 2863 6172 translate 0 0 M 1.01 dup scale +-58.8433 0 N +( ) show grestore 4927 6706 M 0 105 R D gsave 4927 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 6990 6706 M 0 105 R D gsave 6990 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 9054 6706 M 0 105 R D gsave 9054 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 2242 6706 M 0 52 R D 2406 6706 M 0 52 R D 2544 6706 M +0 52 R D 2663 6706 M 0 52 R D 2769 6706 M 0 52 R D 3485 6706 M 0 52 R D +3848 6706 M 0 52 R D 4106 6706 M 0 52 R D 4306 6706 M 0 52 R D 4469 6706 M +0 52 R D 4607 6706 M 0 52 R D 4727 6706 M 0 52 R D 4832 6706 M 0 52 R D +5548 6706 M 0 52 R D 5911 6706 M 0 52 R D 6169 6706 M 0 52 R D 6369 6706 M +0 52 R D 6533 6706 M 0 52 R D 6671 6706 M 0 52 R D 6790 6706 M 0 52 R D +6896 6706 M 0 52 R D 7611 6706 M 0 52 R D 7975 6706 M 0 52 R D 8233 6706 M +0 52 R D 8433 6706 M 0 52 R D 8596 6706 M 0 52 R D 8734 6706 M 0 52 R D +8854 6706 M 0 52 R D 8959 6706 M 0 52 R D 9675 6706 M 0 52 R D +gsave 5959 5710 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 2242 11989 M 7433 0 R D 2863 11989 M 0 -106 R D +4927 11989 M 0 -106 R D 6990 11989 M 0 -106 R D 9054 11989 M 0 -106 R D +2242 11989 M 0 -53 R D 2406 11989 M 0 -53 R D 2544 11989 M 0 -53 R D +2663 11989 M 0 -53 R D 2769 11989 M 0 -53 R D 3485 11989 M 0 -53 R D +3848 11989 M 0 -53 R D 4106 11989 M 0 -53 R D 4306 11989 M 0 -53 R D +4469 11989 M 0 -53 R D 4607 11989 M 0 -53 R D 4727 11989 M 0 -53 R D +4832 11989 M 0 -53 R D 5548 11989 M 0 -53 R D 5911 11989 M 0 -53 R D +6169 11989 M 0 -53 R D 6369 11989 M 0 -53 R D 6533 11989 M 0 -53 R D +6671 11989 M 0 -53 R D 6790 11989 M 0 -53 R D 6896 11989 M 0 -53 R D +7611 11989 M 0 -53 R D 7975 11989 M 0 -53 R D 8233 11989 M 0 -53 R D +8433 11989 M 0 -53 R D 8596 11989 M 0 -53 R D 8734 11989 M 0 -53 R D +8854 11989 M 0 -53 R D 8959 11989 M 0 -53 R D 9675 11989 M 0 -53 R D +2242 6706 M 0 5283 R D 2242 6706 M 149 0 R D gsave 2130 6706 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 8026 M 149 0 R D gsave 2130 7884 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 9347 M 149 0 R D gsave 2130 9205 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 10668 M 149 0 R D gsave 2130 10526 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 11989 M 149 0 R D gsave 2130 11740 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 6838 M 75 0 R D 2242 6970 M 75 0 R D 2242 7102 M +75 0 R D 2242 7234 M 75 0 R D 2242 7366 M 75 0 R D 2242 7498 M 75 0 R D +2242 7630 M 75 0 R D 2242 7762 M 75 0 R D 2242 7894 M 75 0 R D 2242 8159 M +75 0 R D 2242 8291 M 75 0 R D 2242 8423 M 75 0 R D 2242 8555 M 75 0 R D +2242 8687 M 75 0 R D 2242 8819 M 75 0 R D 2242 8951 M 75 0 R D 2242 9083 M +75 0 R D 2242 9215 M 75 0 R D 2242 9479 M 75 0 R D 2242 9611 M 75 0 R D +2242 9744 M 75 0 R D 2242 9876 M 75 0 R D 2242 10008 M 75 0 R D 2242 10140 M +75 0 R D 2242 10272 M 75 0 R D 2242 10404 M 75 0 R D 2242 10536 M 75 0 R D +2242 10800 M 75 0 R D 2242 10932 M 75 0 R D 2242 11064 M 75 0 R D +2242 11197 M 75 0 R D 2242 11329 M 75 0 R D 2242 11461 M 75 0 R D +2242 11593 M 75 0 R D 2242 11725 M 75 0 R D 2242 11857 M 75 0 R D +gsave 1676 9347 translate 0 0 M 90 rotate 1.01 dup scale -58.8433 0 N +( ) show grestore 9675 6706 M 0 5283 R D 9675 6706 M -149 0 R D 9675 8026 M +-149 0 R D 9675 9347 M -149 0 R D 9675 10668 M -149 0 R D 9675 11989 M +-149 0 R D 9675 6838 M -74 0 R D 9675 6970 M -74 0 R D 9675 7102 M -74 0 R D +9675 7234 M -74 0 R D 9675 7366 M -74 0 R D 9675 7498 M -74 0 R D +9675 7630 M -74 0 R D 9675 7762 M -74 0 R D 9675 7894 M -74 0 R D +9675 8159 M -74 0 R D 9675 8291 M -74 0 R D 9675 8423 M -74 0 R D +9675 8555 M -74 0 R D 9675 8687 M -74 0 R D 9675 8819 M -74 0 R D +9675 8951 M -74 0 R D 9675 9083 M -74 0 R D 9675 9215 M -74 0 R D +9675 9479 M -74 0 R D 9675 9611 M -74 0 R D 9675 9744 M -74 0 R D +9675 9876 M -74 0 R D 9675 10008 M -74 0 R D 9675 10140 M -74 0 R D +9675 10272 M -74 0 R D 9675 10404 M -74 0 R D 9675 10536 M -74 0 R D +9675 10800 M -74 0 R D 9675 10932 M -74 0 R D 9675 11064 M -74 0 R D +9675 11197 M -74 0 R D 9675 11329 M -74 0 R D 9675 11461 M -74 0 R D +9675 11593 M -74 0 R D 9675 11725 M -74 0 R D 9675 11857 M -74 0 R D +40 setlinewidth 2242 6706 M 106 0 R 294 0 R 221 0 R 295 0 R 221 0 R 295 0 R +221 0 R 295 0 R 221 0 R 295 0 R 221 0 R 294 0 R 0 17 R 222 0 R 294 0 R +0 -17 R 222 0 R 294 0 R 0 394 R 221 0 R 295 0 R 0 1796 R 221 0 R 295 0 R +0 -100 R 221 0 R 295 0 R 0 1141 R 221 0 R 295 0 R 0 -250 R 221 0 R 294 0 R +0 -933 R 222 0 R 294 0 R 0 -2048 R 222 0 R 104 0 R D 20 setlinewidth L2 +0.000 0.514 1.000 setrgbcolor 2242 6706 M 106 0 R 515 0 R 516 3 R 516 11 R +516 38 R 516 107 R 516 248 R 516 469 R 515 708 R 516 823 R 516 666 R +516 226 R 516 -322 R 516 -719 R 516 -818 R 104 -135 R D L0 +1.000 0.000 0.000 setrgbcolor 2242 6935 M 106 0 R 294 0 R 0 236 R 221 0 R +295 0 R 0 302 R 221 0 R 295 0 R 0 33 R 221 0 R 295 0 R 0 -139 R 221 0 R +295 0 R 0 -208 R 221 0 R 294 0 R 0 42 R 222 0 R 294 0 R 0 685 R 222 0 R +294 0 R 0 525 R 221 0 R 295 0 R 0 914 R 221 0 R 295 0 R 0 -666 R 221 0 R +295 0 R 0 -585 R 221 0 R 295 0 R 0 -1110 R 221 0 R 294 0 R 0 -180 R 222 0 R +294 0 R 0 -66 R 222 0 R 104 0 R D L1 2242 7174 M 106 0 R 294 0 R 0 74 R +221 0 R 295 0 R 0 -93 R 221 0 R 295 0 R 0 -100 R 221 0 R 295 0 R 0 -15 R +221 0 R 295 0 R 0 21 R 221 0 R 294 0 R 0 151 R 222 0 R 294 0 R 0 701 R +222 0 R 294 0 R 0 536 R 221 0 R 295 0 R 0 934 R 221 0 R 295 0 R 0 -680 R +221 0 R 295 0 R 0 -599 R 221 0 R 295 0 R 0 -1135 R 221 0 R 294 0 R 0 -184 R +222 0 R 294 0 R 0 -67 R 222 0 R 104 0 R D 0.000 0.000 0.000 setrgbcolor +gsave 2406 11329 translate 0 0 M 1.25 dup scale +(Complete Sample) show grestore gsave 2406 10668 translate 0 0 M +1.25 dup scale +( z < 0.5) show grestore 5035 6842 M 0 278 R 277 0 R 0 -278 R -277 0 R F +5398 7117 M 0 278 R 278 0 R 0 -278 R -278 0 R F +5761 6705 M 0 139 R 278 0 R 0 -139 R F +6125 6842 M 0 278 R 277 0 R 0 -278 R -277 0 R F +6488 8218 M 0 277 R 278 0 R 0 -277 R -278 0 R F +6852 9594 M 0 277 R 277 0 R 0 -277 R -277 0 R F +7215 8218 M 0 277 R 277 0 R 0 -277 R -277 0 R F +7578 8493 M 0 278 R 278 0 R 0 -278 R -278 0 R F +7942 9594 M 0 277 R 277 0 R 0 -277 R -277 0 R F +8305 8493 M 0 278 R 277 0 R 0 -278 R -277 0 R F +8668 9594 M 0 277 R 278 0 R 0 -277 R -278 0 R F +9032 9043 M 0 278 R 277 0 R 0 -278 R -277 0 R F +9395 7668 M 0 277 R 277 0 R 0 -277 R -277 0 R F +L0 5136 6797 M 75 0 R -37 0 R 0 367 R -38 0 R 75 0 R D 5500 6997 M 74 0 R +-37 0 R 0 518 R -37 0 R 74 0 R D 5863 6706 M 74 0 R -37 0 R -37 0 R 74 0 R D +6226 6797 M 75 0 R -37 0 R 0 367 R -38 0 R 75 0 R D 6590 7907 M 74 0 R +-37 0 R 0 899 R -37 0 R 74 0 R D 6953 9124 M 74 0 R -37 0 R 0 1217 R -37 0 R +74 0 R D 7316 7907 M 75 0 R -37 0 R 0 899 R -38 0 R 75 0 R D 7680 8146 M +74 0 R -37 0 R 0 971 R -37 0 R 74 0 R D 8043 9124 M 75 0 R -38 0 R 0 1217 R +-37 0 R 75 0 R D 8407 8146 M 74 0 R -37 0 R 0 971 R -37 0 R 74 0 R D +8770 9124 M 74 0 R -37 0 R 0 1217 R -37 0 R 74 0 R D 9133 8632 M 75 0 R +-38 0 R 0 1101 R -37 0 R 75 0 R D 9497 7439 M 74 0 R -37 0 R 0 734 R -37 0 R +74 0 R D 15 setlinewidth 9675 6706 M 7432 0 R D 10296 6706 M 0 105 R D +gsave 10296 6172 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 12359 6706 M 0 105 R D gsave 12359 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 14423 6706 M 0 105 R D gsave 14423 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 16486 6706 M 0 105 R D gsave 16486 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 9675 6706 M 0 52 R D 9838 6706 M 0 52 R D 9976 6706 M +0 52 R D 10096 6706 M 0 52 R D 10202 6706 M 0 52 R D 10917 6706 M 0 52 R D +11281 6706 M 0 52 R D 11538 6706 M 0 52 R D 11738 6706 M 0 52 R D +11902 6706 M 0 52 R D 12040 6706 M 0 52 R D 12159 6706 M 0 52 R D +12265 6706 M 0 52 R D 12981 6706 M 0 52 R D 13344 6706 M 0 52 R D +13602 6706 M 0 52 R D 13802 6706 M 0 52 R D 13965 6706 M 0 52 R D +14103 6706 M 0 52 R D 14223 6706 M 0 52 R D 14328 6706 M 0 52 R D +15044 6706 M 0 52 R D 15407 6706 M 0 52 R D 15665 6706 M 0 52 R D +15865 6706 M 0 52 R D 16029 6706 M 0 52 R D 16167 6706 M 0 52 R D +16286 6706 M 0 52 R D 16392 6706 M 0 52 R D 17107 6706 M 0 52 R D +gsave 13391 5710 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 9675 11989 M 7432 0 R D 10296 11989 M 0 -106 R D +12359 11989 M 0 -106 R D 14423 11989 M 0 -106 R D 16486 11989 M 0 -106 R D +9675 11989 M 0 -53 R D 9838 11989 M 0 -53 R D 9976 11989 M 0 -53 R D +10096 11989 M 0 -53 R D 10202 11989 M 0 -53 R D 10917 11989 M 0 -53 R D +11281 11989 M 0 -53 R D 11538 11989 M 0 -53 R D 11738 11989 M 0 -53 R D +11902 11989 M 0 -53 R D 12040 11989 M 0 -53 R D 12159 11989 M 0 -53 R D +12265 11989 M 0 -53 R D 12981 11989 M 0 -53 R D 13344 11989 M 0 -53 R D +13602 11989 M 0 -53 R D 13802 11989 M 0 -53 R D 13965 11989 M 0 -53 R D +14103 11989 M 0 -53 R D 14223 11989 M 0 -53 R D 14328 11989 M 0 -53 R D +15044 11989 M 0 -53 R D 15407 11989 M 0 -53 R D 15665 11989 M 0 -53 R D +15865 11989 M 0 -53 R D 16029 11989 M 0 -53 R D 16167 11989 M 0 -53 R D +16286 11989 M 0 -53 R D 16392 11989 M 0 -53 R D 17107 11989 M 0 -53 R D +9675 6706 M 0 5283 R D 9675 6706 M 149 0 R D gsave 9563 6706 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 8026 M 149 0 R D gsave 9563 7884 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 9347 M 149 0 R D gsave 9563 9205 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 10668 M 149 0 R D gsave 9563 10526 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 11989 M 149 0 R D gsave 9563 11740 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 6838 M 74 0 R D 9675 6970 M 74 0 R D 9675 7102 M +74 0 R D 9675 7234 M 74 0 R D 9675 7366 M 74 0 R D 9675 7498 M 74 0 R D +9675 7630 M 74 0 R D 9675 7762 M 74 0 R D 9675 7894 M 74 0 R D 9675 8159 M +74 0 R D 9675 8291 M 74 0 R D 9675 8423 M 74 0 R D 9675 8555 M 74 0 R D +9675 8687 M 74 0 R D 9675 8819 M 74 0 R D 9675 8951 M 74 0 R D 9675 9083 M +74 0 R D 9675 9215 M 74 0 R D 9675 9479 M 74 0 R D 9675 9611 M 74 0 R D +9675 9744 M 74 0 R D 9675 9876 M 74 0 R D 9675 10008 M 74 0 R D 9675 10140 M +74 0 R D 9675 10272 M 74 0 R D 9675 10404 M 74 0 R D 9675 10536 M 74 0 R D +9675 10800 M 74 0 R D 9675 10932 M 74 0 R D 9675 11064 M 74 0 R D +9675 11197 M 74 0 R D 9675 11329 M 74 0 R D 9675 11461 M 74 0 R D +9675 11593 M 74 0 R D 9675 11725 M 74 0 R D 9675 11857 M 74 0 R D +gsave 9108 9347 translate 0 0 M 90 rotate 1.01 dup scale -58.8433 0 N +( ) show grestore 17107 6706 M 0 5283 R D 17107 6706 M -148 0 R D +17107 8026 M -148 0 R D 17107 9347 M -148 0 R D 17107 10668 M -148 0 R D +17107 11989 M -148 0 R D 17107 6838 M -74 0 R D 17107 6970 M -74 0 R D +17107 7102 M -74 0 R D 17107 7234 M -74 0 R D 17107 7366 M -74 0 R D +17107 7498 M -74 0 R D 17107 7630 M -74 0 R D 17107 7762 M -74 0 R D +17107 7894 M -74 0 R D 17107 8159 M -74 0 R D 17107 8291 M -74 0 R D +17107 8423 M -74 0 R D 17107 8555 M -74 0 R D 17107 8687 M -74 0 R D +17107 8819 M -74 0 R D 17107 8951 M -74 0 R D 17107 9083 M -74 0 R D +17107 9215 M -74 0 R D 17107 9479 M -74 0 R D 17107 9611 M -74 0 R D +17107 9744 M -74 0 R D 17107 9876 M -74 0 R D 17107 10008 M -74 0 R D +17107 10140 M -74 0 R D 17107 10272 M -74 0 R D 17107 10404 M -74 0 R D +17107 10536 M -74 0 R D 17107 10800 M -74 0 R D 17107 10932 M -74 0 R D +17107 11064 M -74 0 R D 17107 11197 M -74 0 R D 17107 11329 M -74 0 R D +17107 11461 M -74 0 R D 17107 11593 M -74 0 R D 17107 11725 M -74 0 R D +17107 11857 M -74 0 R D 20 setlinewidth 1.000 0.000 0.000 setrgbcolor +9674 6947 M 106 0 R 295 0 R 0 356 R 221 0 R 295 0 R 0 67 R 221 0 R 294 0 R +0 197 R 222 0 R 294 0 R 0 -289 R 222 0 R 294 0 R 0 5 R 221 0 R 295 0 R +0 115 R 221 0 R 295 0 R 0 272 R 221 0 R 295 0 R 0 918 R 221 0 R 295 0 R +0 -522 R 221 0 R 294 0 R 0 649 R 222 0 R 294 0 R 0 -741 R 222 0 R 294 0 R +0 -395 R 221 0 R 295 0 R 0 -559 R 221 0 R 295 0 R 0 -314 R 221 0 R 105 0 R D +L1 9674 7175 M 106 0 R 295 0 R 0 2 R 221 0 R 295 0 R 0 -46 R 221 0 R 294 0 R +0 -54 R 222 0 R 294 0 R 0 -146 R 222 0 R 294 0 R 0 376 R 221 0 R 295 0 R +0 120 R 221 0 R 295 0 R 0 284 R 221 0 R 295 0 R 0 957 R 221 0 R 295 0 R +0 -544 R 221 0 R 294 0 R 0 677 R 222 0 R 294 0 R 0 -773 R 222 0 R 294 0 R +0 -412 R 221 0 R 295 0 R 0 -582 R 221 0 R 295 0 R 0 -328 R 221 0 R 105 0 R D +40 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 9674 6706 M 106 0 R 295 0 R +221 0 R 295 0 R 221 0 R 294 0 R 222 0 R 294 0 R 222 0 R 294 0 R 221 0 R +295 0 R 221 0 R 295 0 R 0 89 R 221 0 R 295 0 R 0 488 R 221 0 R 295 0 R +0 238 R 221 0 R 294 0 R 0 833 R 222 0 R 294 0 R 0 2598 R 222 0 R 294 0 R +0 -1302 R 221 0 R 295 0 R 0 -585 R 221 0 R 295 0 R 0 -2359 R 221 0 R 105 0 R +D 20 setlinewidth L2 0.000 0.514 1.000 setrgbcolor 9674 6706 M 106 0 R +516 0 R 516 0 R 516 2 R 516 8 R 515 31 R 516 90 R 516 225 R 516 455 R +516 741 R 516 943 R 516 807 R 515 -323 R 516 -719 R 516 -819 R 105 -137 R D +0.000 0.000 0.000 setrgbcolor gsave 9838 11329 translate 0 0 M +1.25 dup scale +(Complete Sample) show grestore gsave 9838 10668 translate 0 0 M +1.25 dup scale +( z = 1.5 - 3.5) show grestore 13921 6720 M 0 278 R 277 0 R 0 -278 R +-277 0 R F +14284 7028 M 0 277 R 278 0 R 0 -277 R -278 0 R F +14647 7181 M 0 278 R 278 0 R 0 -278 R -278 0 R F +15011 7796 M 0 277 R 277 0 R 0 -277 R -277 0 R F +15374 9639 M 0 277 R 278 0 R 0 -277 R -278 0 R F +15738 11174 M 0 278 R 277 0 R 0 -278 R -277 0 R F +16101 8410 M 0 277 R 277 0 R 0 -277 R -277 0 R F +16464 7796 M 0 277 R 278 0 R 0 -277 R -278 0 R F +16828 8563 M 0 278 R 277 0 R 0 -278 R -277 0 R F +L0 14022 6706 M 75 0 R -37 0 R 0 307 R -38 0 R 75 0 R D 14386 6900 M 74 0 R +-37 0 R 0 532 R -37 0 R 74 0 R D 14749 7013 M 74 0 R -37 0 R 0 614 R -37 0 R +74 0 R D 15112 7500 M 75 0 R -37 0 R 0 869 R -38 0 R 75 0 R D 15476 9090 M +74 0 R -37 0 R 0 1374 R -37 0 R 74 0 R D 15839 10472 M 74 0 R -37 0 R +0 1517 R D 16202 8017 M 75 0 R -37 0 R 0 1064 R -38 0 R 75 0 R D +16566 7500 M 74 0 R -37 0 R 0 869 R -37 0 R 74 0 R D 16929 8148 M 74 0 R +-37 0 R 0 1108 R -37 0 R 74 0 R D 0.000 1.000 0.149 setrgbcolor 14152 6706 M +-1 18 R -3 17 R -6 18 R -8 16 R -10 15 R -12 14 R -14 12 R -15 10 R -16 8 R +-18 6 R -17 3 R -18 1 R -19 -1 R -17 -3 R -18 -6 R -16 -8 R -15 -10 R +-14 -12 R -12 -14 R -10 -15 R -8 -16 R -5 -18 R -4 -17 R -1 -18 R 0 -1 R +276 0 R 1 1 R F +14516 7036 M -2 18 R -3 18 R -6 17 R -8 16 R -10 15 R -12 14 R -14 12 R +-15 10 R -16 8 R -17 6 R -18 3 R -18 2 R -18 -2 R -18 -3 R -17 -6 R -16 -8 R +-16 -10 R -13 -12 R -12 -14 R -10 -15 R -8 -16 R -6 -17 R -4 -18 R -1 -18 R +1 -18 R 4 -18 R 6 -17 R 8 -17 R 10 -15 R 12 -13 R 13 -12 R 16 -10 R 16 -8 R +17 -6 R 18 -4 R 18 -1 R 18 1 R 18 4 R 17 6 R 16 8 R 15 10 R 14 12 R 12 13 R +10 15 R 8 17 R 6 17 R 3 18 R 2 18 R F +14879 8026 M -1 19 R -4 17 R -6 18 R -8 16 R -10 15 R -12 14 R -13 12 R +-15 10 R -17 8 R -17 5 R -18 4 R -18 1 R -18 -1 R -18 -4 R -17 -5 R -16 -8 R +-15 -10 R -14 -12 R -12 -14 R -10 -15 R -8 -16 R -6 -18 R -3 -17 R -2 -19 R +2 -18 R 3 -17 R 6 -18 R 8 -16 R 10 -15 R 12 -14 R 14 -12 R 15 -10 R 16 -8 R +17 -6 R 18 -3 R 18 -1 R 18 1 R 18 3 R 17 6 R 17 8 R 15 10 R 13 12 R 12 14 R +10 15 R 8 16 R 6 18 R 4 17 R 1 18 R F +15242 9017 M -1 18 R -3 18 R -6 17 R -8 16 R -10 16 R -12 13 R -14 12 R +-15 10 R -16 8 R -17 6 R -18 4 R -18 1 R -19 -1 R -17 -4 R -18 -6 R -16 -8 R +-15 -10 R -14 -12 R -11 -13 R -11 -16 R -8 -16 R -5 -17 R -4 -18 R -1 -18 R +1 -18 R 4 -18 R 5 -17 R 8 -16 R 11 -15 R 11 -14 R 14 -12 R 15 -10 R 16 -8 R +18 -6 R 17 -3 R 19 -2 R 18 2 R 18 3 R 17 6 R 16 8 R 15 10 R 14 12 R 12 14 R +10 15 R 8 16 R 6 17 R 3 18 R 1 18 R F +15606 10008 M -1 18 R -4 18 R -6 17 R -8 16 R -10 15 R -12 14 R -14 12 R +-15 10 R -16 8 R -17 6 R -18 3 R -18 1 R -18 -1 R -18 -3 R -17 -6 R -16 -8 R +-16 -10 R -13 -12 R -12 -14 R -10 -15 R -8 -16 R -6 -17 R -4 -18 R -1 -18 R +1 -18 R 4 -18 R 6 -17 R 8 -17 R 10 -15 R 12 -13 R 13 -12 R 16 -10 R 16 -8 R +17 -6 R 18 -4 R 18 -1 R 18 1 R 18 4 R 17 6 R 16 8 R 15 10 R 14 12 R 12 13 R +10 15 R 8 17 R 6 17 R 4 18 R 1 18 R F +15969 10668 M -1 18 R -4 18 R -6 17 R -8 17 R -10 15 R -12 13 R -13 12 R +-15 10 R -17 8 R -17 6 R -18 4 R -18 1 R -18 -1 R -18 -4 R -17 -6 R -16 -8 R +-15 -10 R -14 -12 R -12 -13 R -10 -15 R -8 -17 R -6 -17 R -3 -18 R -1 -18 R +1 -18 R 3 -18 R 6 -17 R 8 -16 R 10 -15 R 12 -14 R 14 -12 R 15 -10 R 16 -8 R +17 -6 R 18 -3 R 18 -2 R 18 2 R 18 3 R 17 6 R 17 8 R 15 10 R 13 12 R 12 14 R +10 15 R 8 16 R 6 17 R 4 18 R 1 18 R F +16332 8357 M -1 18 R -3 18 R -6 17 R -8 16 R -10 15 R -12 14 R -14 12 R +-15 10 R -16 8 R -17 6 R -18 3 R -18 1 R -18 -1 R -18 -3 R -17 -6 R -17 -8 R +-15 -10 R -13 -12 R -12 -14 R -11 -15 R -8 -16 R -5 -17 R -4 -18 R -1 -18 R +1 -18 R 4 -18 R 5 -17 R 8 -17 R 11 -15 R 12 -13 R 13 -12 R 15 -11 R 17 -8 R +17 -5 R 18 -4 R 18 -1 R 18 1 R 18 4 R 17 5 R 16 8 R 15 11 R 14 12 R 12 13 R +10 15 R 8 17 R 6 17 R 3 18 R 1 18 R F +16696 7036 M -1 18 R -4 18 R -6 17 R -8 16 R -10 15 R -12 14 R -14 12 R +-15 10 R -16 8 R -17 6 R -18 3 R -18 2 R -18 -2 R -18 -3 R -17 -6 R -16 -8 R +-15 -10 R -14 -12 R -12 -14 R -10 -15 R -8 -16 R -6 -17 R -4 -18 R -1 -18 R +1 -18 R 4 -18 R 6 -17 R 8 -17 R 10 -15 R 12 -13 R 14 -12 R 15 -10 R 16 -8 R +17 -6 R 18 -4 R 18 -1 R 18 1 R 18 4 R 17 6 R 16 8 R 15 10 R 14 12 R 12 13 R +10 15 R 8 17 R 6 17 R 4 18 R 1 18 R F +17059 8357 M -1 18 R -4 18 R -5 17 R -8 16 R -11 15 R -12 14 R -13 12 R +-15 10 R -17 8 R -17 6 R -18 3 R -18 1 R -18 -1 R -18 -3 R -17 -6 R -16 -8 R +-15 -10 R -14 -12 R -12 -14 R -10 -15 R -8 -16 R -6 -17 R -3 -18 R -1 -18 R +1 -18 R 3 -18 R 6 -17 R 8 -17 R 10 -15 R 12 -13 R 14 -12 R 15 -11 R 16 -8 R +17 -5 R 18 -4 R 18 -1 R 18 1 R 18 4 R 17 5 R 17 8 R 15 11 R 13 12 R 12 13 R +11 15 R 8 17 R 5 17 R 4 18 R 1 18 R F +13976 6706 M 75 0 R -37 0 R -38 0 R 75 0 R D 14340 6706 M 74 0 R -37 0 R +0 660 R -37 0 R 74 0 R D 14703 7366 M 74 0 R -37 0 R 0 1321 R -37 0 R 74 0 R +D 15066 8143 M 75 0 R -37 0 R 0 1748 R -38 0 R 75 0 R D 15430 8964 M 74 0 R +-37 0 R 0 2088 R -37 0 R 74 0 R D 15793 9524 M 74 0 R -37 0 R 0 2288 R +-37 0 R 74 0 R D 16156 7618 M 75 0 R -37 0 R 0 1477 R -38 0 R 75 0 R D +16520 6706 M 74 0 R -37 0 R 0 660 R -37 0 R 74 0 R D 16883 7618 M 75 0 R +-38 0 R 0 1477 R -37 0 R 75 0 R D 15 setlinewidth +0.000 0.000 0.000 setrgbcolor 2242 1422 M 7433 0 R D 2863 1422 M 0 106 R D +gsave 2863 889 translate 0 0 M 1.01 dup scale -529.59 0 N +(0.001) show grestore 4927 1422 M 0 106 R D gsave 4927 889 translate 0 0 M +1.01 dup scale -529.59 0 N +(0.010) show grestore 6990 1422 M 0 106 R D gsave 6990 889 translate 0 0 M +1.01 dup scale -529.59 0 N +(0.100) show grestore 9054 1422 M 0 106 R D gsave 9054 889 translate 0 0 M +1.01 dup scale -529.59 0 N +(1.000) show grestore 2242 1422 M 0 53 R D 2406 1422 M 0 53 R D 2544 1422 M +0 53 R D 2663 1422 M 0 53 R D 2769 1422 M 0 53 R D 3485 1422 M 0 53 R D +3848 1422 M 0 53 R D 4106 1422 M 0 53 R D 4306 1422 M 0 53 R D 4469 1422 M +0 53 R D 4607 1422 M 0 53 R D 4727 1422 M 0 53 R D 4832 1422 M 0 53 R D +5548 1422 M 0 53 R D 5911 1422 M 0 53 R D 6169 1422 M 0 53 R D 6369 1422 M +0 53 R D 6533 1422 M 0 53 R D 6671 1422 M 0 53 R D 6790 1422 M 0 53 R D +6896 1422 M 0 53 R D 7611 1422 M 0 53 R D 7975 1422 M 0 53 R D 8233 1422 M +0 53 R D 8433 1422 M 0 53 R D 8596 1422 M 0 53 R D 8734 1422 M 0 53 R D +8854 1422 M 0 53 R D 8959 1422 M 0 53 R D 9675 1422 M 0 53 R D +gsave 5959 427 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 2242 6706 M 7433 0 R D 2863 6706 M 0 -106 R D 4927 6706 M +0 -106 R D 6990 6706 M 0 -106 R D 9054 6706 M 0 -106 R D 2242 6706 M 0 -53 R +D 2406 6706 M 0 -53 R D 2544 6706 M 0 -53 R D 2663 6706 M 0 -53 R D +2769 6706 M 0 -53 R D 3485 6706 M 0 -53 R D 3848 6706 M 0 -53 R D +4106 6706 M 0 -53 R D 4306 6706 M 0 -53 R D 4469 6706 M 0 -53 R D +4607 6706 M 0 -53 R D 4727 6706 M 0 -53 R D 4832 6706 M 0 -53 R D +5548 6706 M 0 -53 R D 5911 6706 M 0 -53 R D 6169 6706 M 0 -53 R D +6369 6706 M 0 -53 R D 6533 6706 M 0 -53 R D 6671 6706 M 0 -53 R D +6790 6706 M 0 -53 R D 6896 6706 M 0 -53 R D 7611 6706 M 0 -53 R D +7975 6706 M 0 -53 R D 8233 6706 M 0 -53 R D 8433 6706 M 0 -53 R D +8596 6706 M 0 -53 R D 8734 6706 M 0 -53 R D 8854 6706 M 0 -53 R D +8959 6706 M 0 -53 R D 9675 6706 M 0 -53 R D 2242 1422 M 0 5284 R D +2242 1422 M 149 0 R D gsave 2130 1422 translate 0 0 M 1.01 dup scale +-117.687 0 N +( ) show grestore 2242 2743 M 149 0 R D gsave 2130 2601 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 4064 M 149 0 R D gsave 2130 3922 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 5385 M 149 0 R D gsave 2130 5243 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 6706 M 149 0 R D gsave 2130 6457 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 1554 M 75 0 R D 2242 1686 M 75 0 R D 2242 1818 M +75 0 R D 2242 1950 M 75 0 R D 2242 2083 M 75 0 R D 2242 2215 M 75 0 R D +2242 2347 M 75 0 R D 2242 2479 M 75 0 R D 2242 2611 M 75 0 R D 2242 2875 M +75 0 R D 2242 3007 M 75 0 R D 2242 3139 M 75 0 R D 2242 3271 M 75 0 R D +2242 3403 M 75 0 R D 2242 3536 M 75 0 R D 2242 3668 M 75 0 R D 2242 3800 M +75 0 R D 2242 3932 M 75 0 R D 2242 4196 M 75 0 R D 2242 4328 M 75 0 R D +2242 4460 M 75 0 R D 2242 4592 M 75 0 R D 2242 4724 M 75 0 R D 2242 4856 M +75 0 R D 2242 4988 M 75 0 R D 2242 5121 M 75 0 R D 2242 5253 M 75 0 R D +2242 5517 M 75 0 R D 2242 5649 M 75 0 R D 2242 5781 M 75 0 R D 2242 5913 M +75 0 R D 2242 6045 M 75 0 R D 2242 6177 M 75 0 R D 2242 6309 M 75 0 R D +2242 6441 M 75 0 R D 2242 6573 M 75 0 R D gsave 1676 4064 translate 0 0 M +90 rotate 1.01 dup scale -58.8433 0 N +( ) show grestore 9675 1422 M 0 5284 R D 9675 1422 M -149 0 R D 9675 2743 M +-149 0 R D 9675 4064 M -149 0 R D 9675 5385 M -149 0 R D 9675 6706 M +-149 0 R D 9675 1554 M -74 0 R D 9675 1686 M -74 0 R D 9675 1818 M -74 0 R D +9675 1950 M -74 0 R D 9675 2083 M -74 0 R D 9675 2215 M -74 0 R D +9675 2347 M -74 0 R D 9675 2479 M -74 0 R D 9675 2611 M -74 0 R D +9675 2875 M -74 0 R D 9675 3007 M -74 0 R D 9675 3139 M -74 0 R D +9675 3271 M -74 0 R D 9675 3403 M -74 0 R D 9675 3536 M -74 0 R D +9675 3668 M -74 0 R D 9675 3800 M -74 0 R D 9675 3932 M -74 0 R D +9675 4196 M -74 0 R D 9675 4328 M -74 0 R D 9675 4460 M -74 0 R D +9675 4592 M -74 0 R D 9675 4724 M -74 0 R D 9675 4856 M -74 0 R D +9675 4988 M -74 0 R D 9675 5121 M -74 0 R D 9675 5253 M -74 0 R D +9675 5517 M -74 0 R D 9675 5649 M -74 0 R D 9675 5781 M -74 0 R D +9675 5913 M -74 0 R D 9675 6045 M -74 0 R D 9675 6177 M -74 0 R D +9675 6309 M -74 0 R D 9675 6441 M -74 0 R D 9675 6573 M -74 0 R D +20 setlinewidth 2242 1827 M 106 0 R 294 0 R 0 575 R 221 0 R 295 0 R 0 -462 R +221 0 R 295 0 R 0 522 R 221 0 R 295 0 R 0 -217 R 221 0 R 295 0 R 0 -362 R +221 0 R 294 0 R 0 43 R 222 0 R 294 0 R 0 773 R 222 0 R 294 0 R 0 -226 R +221 0 R 295 0 R 0 416 R 221 0 R 295 0 R 0 636 R 221 0 R 295 0 R 0 -924 R +221 0 R 295 0 R 0 -486 R 221 0 R 294 0 R 0 -479 R 222 0 R 294 0 R 0 -214 R +222 0 R 104 0 R D L1 2242 1958 M 106 0 R 294 0 R 0 49 R 221 0 R 295 0 R +0 -87 R 221 0 R 295 0 R 0 68 R 221 0 R 295 0 R 0 -172 R 221 0 R 295 0 R +0 133 R 221 0 R 294 0 R 0 49 R 222 0 R 294 0 R 0 884 R 222 0 R 294 0 R +0 -258 R 221 0 R 295 0 R 0 476 R 221 0 R 295 0 R 0 728 R 221 0 R 295 0 R +0 -1058 R 221 0 R 295 0 R 0 -556 R 221 0 R 294 0 R 0 -548 R 222 0 R 294 0 R +0 -244 R 222 0 R 104 0 R D gsave 2406 6045 translate 0 0 M 1.25 dup scale +(L = 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(10) show +%%IncludeResource: font Symbol +262.467 /Symbol STDFONT +(\261) show +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(0.5) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( L) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( << L) show X -101.051 M +%%IncludeResource: font Symbol +262.467 /Symbol STDFONT +(*) show +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 15 setlinewidth L0 9675 1422 M 7432 0 R D +10296 1422 M 0 106 R D gsave 10296 889 translate 0 0 M 1.01 dup scale +-529.59 0 N +(0.001) show grestore 12359 1422 M 0 106 R D gsave 12359 889 translate 0 0 M +1.01 dup scale -529.59 0 N +(0.010) show grestore 14423 1422 M 0 106 R D gsave 14423 889 translate 0 0 M +1.01 dup scale -529.59 0 N +(0.100) show grestore 16486 1422 M 0 106 R D gsave 16486 889 translate 0 0 M +1.01 dup scale -529.59 0 N +(1.000) show grestore 9675 1422 M 0 53 R D 9838 1422 M 0 53 R D 9976 1422 M +0 53 R D 10096 1422 M 0 53 R D 10202 1422 M 0 53 R D 10917 1422 M 0 53 R D +11281 1422 M 0 53 R D 11538 1422 M 0 53 R D 11738 1422 M 0 53 R D +11902 1422 M 0 53 R D 12040 1422 M 0 53 R D 12159 1422 M 0 53 R D +12265 1422 M 0 53 R D 12981 1422 M 0 53 R D 13344 1422 M 0 53 R D +13602 1422 M 0 53 R D 13802 1422 M 0 53 R D 13965 1422 M 0 53 R D +14103 1422 M 0 53 R D 14223 1422 M 0 53 R D 14328 1422 M 0 53 R D +15044 1422 M 0 53 R D 15407 1422 M 0 53 R D 15665 1422 M 0 53 R D +15865 1422 M 0 53 R D 16029 1422 M 0 53 R D 16167 1422 M 0 53 R D +16286 1422 M 0 53 R D 16392 1422 M 0 53 R D 17107 1422 M 0 53 R D +gsave 13391 427 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 9675 6706 M 7432 0 R D 10296 6706 M 0 -106 R D +12359 6706 M 0 -106 R D 14423 6706 M 0 -106 R D 16486 6706 M 0 -106 R D +9675 6706 M 0 -53 R D 9838 6706 M 0 -53 R D 9976 6706 M 0 -53 R D +10096 6706 M 0 -53 R D 10202 6706 M 0 -53 R D 10917 6706 M 0 -53 R D +11281 6706 M 0 -53 R D 11538 6706 M 0 -53 R D 11738 6706 M 0 -53 R D +11902 6706 M 0 -53 R D 12040 6706 M 0 -53 R D 12159 6706 M 0 -53 R D +12265 6706 M 0 -53 R D 12981 6706 M 0 -53 R D 13344 6706 M 0 -53 R D +13602 6706 M 0 -53 R D 13802 6706 M 0 -53 R D 13965 6706 M 0 -53 R D +14103 6706 M 0 -53 R D 14223 6706 M 0 -53 R D 14328 6706 M 0 -53 R D +15044 6706 M 0 -53 R D 15407 6706 M 0 -53 R D 15665 6706 M 0 -53 R D +15865 6706 M 0 -53 R D 16029 6706 M 0 -53 R D 16167 6706 M 0 -53 R D +16286 6706 M 0 -53 R D 16392 6706 M 0 -53 R D 17107 6706 M 0 -53 R D +9675 1422 M 0 5284 R D 9675 1422 M 149 0 R D gsave 9563 1422 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 2743 M 149 0 R D gsave 9563 2601 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 4064 M 149 0 R D gsave 9563 3922 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 5385 M 149 0 R D gsave 9563 5243 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 6706 M 149 0 R D gsave 9563 6457 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 1554 M 74 0 R D 9675 1686 M 74 0 R D 9675 1818 M +74 0 R D 9675 1950 M 74 0 R D 9675 2083 M 74 0 R D 9675 2215 M 74 0 R D +9675 2347 M 74 0 R D 9675 2479 M 74 0 R D 9675 2611 M 74 0 R D 9675 2875 M +74 0 R D 9675 3007 M 74 0 R D 9675 3139 M 74 0 R D 9675 3271 M 74 0 R D +9675 3403 M 74 0 R D 9675 3536 M 74 0 R D 9675 3668 M 74 0 R D 9675 3800 M +74 0 R D 9675 3932 M 74 0 R D 9675 4196 M 74 0 R D 9675 4328 M 74 0 R D +9675 4460 M 74 0 R D 9675 4592 M 74 0 R D 9675 4724 M 74 0 R D 9675 4856 M +74 0 R D 9675 4988 M 74 0 R D 9675 5121 M 74 0 R D 9675 5253 M 74 0 R D +9675 5517 M 74 0 R D 9675 5649 M 74 0 R D 9675 5781 M 74 0 R D 9675 5913 M +74 0 R D 9675 6045 M 74 0 R D 9675 6177 M 74 0 R D 9675 6309 M 74 0 R D +9675 6441 M 74 0 R D 9675 6573 M 74 0 R D gsave 9108 4064 translate 0 0 M +90 rotate 1.01 dup scale -58.8433 0 N +( ) show grestore 17107 1422 M 0 5284 R D 17107 1422 M -148 0 R D +17107 2743 M -148 0 R D 17107 4064 M -148 0 R D 17107 5385 M -148 0 R D +17107 6706 M -148 0 R D 17107 1554 M -74 0 R D 17107 1686 M -74 0 R D +17107 1818 M -74 0 R D 17107 1950 M -74 0 R D 17107 2083 M -74 0 R D +17107 2215 M -74 0 R D 17107 2347 M -74 0 R D 17107 2479 M -74 0 R D +17107 2611 M -74 0 R D 17107 2875 M -74 0 R D 17107 3007 M -74 0 R D +17107 3139 M -74 0 R D 17107 3271 M -74 0 R D 17107 3403 M -74 0 R D +17107 3536 M -74 0 R D 17107 3668 M -74 0 R D 17107 3800 M -74 0 R D +17107 3932 M -74 0 R D 17107 4196 M -74 0 R D 17107 4328 M -74 0 R D +17107 4460 M -74 0 R D 17107 4592 M -74 0 R D 17107 4724 M -74 0 R D +17107 4856 M -74 0 R D 17107 4988 M -74 0 R D 17107 5121 M -74 0 R D +17107 5253 M -74 0 R D 17107 5517 M -74 0 R D 17107 5649 M -74 0 R D +17107 5781 M -74 0 R D 17107 5913 M -74 0 R D 17107 6045 M -74 0 R D +17107 6177 M -74 0 R D 17107 6309 M -74 0 R D 17107 6441 M -74 0 R D +17107 6573 M -74 0 R D 20 setlinewidth 9674 1422 M 106 0 R 295 0 R 221 0 R +295 0 R 221 0 R 294 0 R 222 0 R 294 0 R 222 0 R 294 0 R 221 0 R 295 0 R +221 0 R 295 0 R 221 0 R 295 0 R 0 60 R 221 0 R 295 0 R 0 405 R 221 0 R +294 0 R 0 203 R 222 0 R 294 0 R 0 252 R 222 0 R 294 0 R 0 3200 R 221 0 R +295 0 R 0 990 R 221 0 R 295 0 R 0 -5110 R 221 0 R 105 0 R D L1 9674 1422 M +106 0 R 295 0 R 221 0 R 295 0 R 221 0 R 294 0 R 222 0 R 294 0 R 222 0 R +294 0 R 221 0 R 295 0 R 221 0 R 295 0 R 221 0 R 295 0 R 0 60 R 221 0 R +295 0 R 0 405 R 221 0 R 294 0 R 0 203 R 222 0 R 294 0 R 0 252 R 222 0 R +294 0 R 0 3200 R 221 0 R 295 0 R 0 990 R 221 0 R 295 0 R 0 -5110 R 221 0 R +105 0 R D 40 setlinewidth L0 1.000 0.000 0.000 setrgbcolor 9674 1422 M +106 0 R 295 0 R 221 0 R 295 0 R 221 0 R 294 0 R 222 0 R 294 0 R 222 0 R +294 0 R 221 0 R 295 0 R 221 0 R 295 0 R 221 0 R 295 0 R 0 323 R 221 0 R +295 0 R 0 746 R 221 0 R 294 0 R 0 267 R 222 0 R 294 0 R 0 3677 R 222 0 R +294 0 R 0 -755 R 221 0 R 295 0 R 0 -3048 R 221 0 R 295 0 R 0 -1210 R 221 0 R +105 0 R D 0.000 0.000 0.000 setrgbcolor gsave 9838 6045 translate 0 0 M +1.25 dup scale +(L = 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(13) show +%%IncludeResource: font Symbol +262.467 /Symbol STDFONT +(\261) show +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(0.5) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( L) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( >> L) show X -101.051 M +%%IncludeResource: font Symbol +262.467 /Symbol STDFONT +(*) show +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT gsave 9675 365 translate 0 0 M 1.01 dup scale +-2136.1 0 N +(Eddington Ratio L/L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(EDD) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT gsave 1499 6706 translate 0 0 M 90 rotate +1.01 dup scale -2575.77 0 N +(Probability \(Arbitrary Scale\)) show grestore +%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%+ font Symbol +%%+ font AvantGarde-Book +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%+ font Symbol +%%+ font AvantGarde-Book +%%EOF diff --git a/feedback/papers/0506398/f21.ps b/feedback/papers/0506398/f21.ps new file mode 100644 index 0000000..e218cff --- /dev/null +++ b/feedback/papers/0506398/f21.ps @@ -0,0 +1,1025 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 558 720 +%%Title: Graphics produced by IDL +%%For: phopkins@zeus, /home/phopkins/montecarlo_runs +%%Creator: IDL Version 6.1.1 (linux x86 m32) +%%CreationDate: Mon Aug 29 14:33:44 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2004 Research Systems, Inc. All Rights Reserved. +%v 5 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef /MITERLIMIT { 2.5 setmiterlimit } bdef end +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 558 720 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale MITERLIMIT +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 2242 8467 M 4955 0 R D +2242 8467 M 0 70 R D gsave 2242 7933 translate 0 0 M 1.01 dup scale +-58.8433 0 N +( ) show grestore 3143 8467 M 0 70 R D gsave 3143 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 4044 8467 M 0 70 R D gsave 4044 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 4945 8467 M 0 70 R D gsave 4945 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 5846 8467 M 0 70 R D gsave 5846 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 6747 8467 M 0 70 R D gsave 6747 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 2332 8467 M 0 35 R D 2422 8467 M 0 35 R D 2513 8467 M +0 35 R D 2603 8467 M 0 35 R D 2693 8467 M 0 35 R D 2783 8467 M 0 35 R D +2873 8467 M 0 35 R D 2963 8467 M 0 35 R D 3053 8467 M 0 35 R D 3233 8467 M +0 35 R D 3323 8467 M 0 35 R D 3413 8467 M 0 35 R D 3504 8467 M 0 35 R D +3594 8467 M 0 35 R D 3684 8467 M 0 35 R D 3774 8467 M 0 35 R D 3864 8467 M +0 35 R D 3954 8467 M 0 35 R D 4134 8467 M 0 35 R D 4224 8467 M 0 35 R D +4314 8467 M 0 35 R D 4404 8467 M 0 35 R D 4495 8467 M 0 35 R D 4585 8467 M +0 35 R D 4675 8467 M 0 35 R D 4765 8467 M 0 35 R D 4855 8467 M 0 35 R D +5035 8467 M 0 35 R D 5125 8467 M 0 35 R D 5215 8467 M 0 35 R D 5305 8467 M +0 35 R D 5396 8467 M 0 35 R D 5486 8467 M 0 35 R D 5576 8467 M 0 35 R D +5666 8467 M 0 35 R D 5756 8467 M 0 35 R D 5936 8467 M 0 35 R D 6026 8467 M +0 35 R D 6116 8467 M 0 35 R D 6206 8467 M 0 35 R D 6296 8467 M 0 35 R D +6387 8467 M 0 35 R D 6477 8467 M 0 35 R D 6567 8467 M 0 35 R D 6657 8467 M +0 35 R D 6837 8467 M 0 35 R D 6927 8467 M 0 35 R D 7017 8467 M 0 35 R D +7107 8467 M 0 35 R D 7197 8467 M 0 35 R D 2242 11989 M 4955 0 R D +2242 11989 M 0 -70 R D 3143 11989 M 0 -70 R D 4044 11989 M 0 -70 R D +4945 11989 M 0 -70 R D 5846 11989 M 0 -70 R D 6747 11989 M 0 -70 R D +2332 11989 M 0 -35 R D 2422 11989 M 0 -35 R D 2513 11989 M 0 -35 R D +2603 11989 M 0 -35 R D 2693 11989 M 0 -35 R D 2783 11989 M 0 -35 R D +2873 11989 M 0 -35 R D 2963 11989 M 0 -35 R D 3053 11989 M 0 -35 R D +3233 11989 M 0 -35 R D 3323 11989 M 0 -35 R D 3413 11989 M 0 -35 R D +3504 11989 M 0 -35 R D 3594 11989 M 0 -35 R D 3684 11989 M 0 -35 R D +3774 11989 M 0 -35 R D 3864 11989 M 0 -35 R D 3954 11989 M 0 -35 R D +4134 11989 M 0 -35 R D 4224 11989 M 0 -35 R D 4314 11989 M 0 -35 R D +4404 11989 M 0 -35 R D 4495 11989 M 0 -35 R D 4585 11989 M 0 -35 R D +4675 11989 M 0 -35 R D 4765 11989 M 0 -35 R D 4855 11989 M 0 -35 R D +5035 11989 M 0 -35 R D 5125 11989 M 0 -35 R D 5215 11989 M 0 -35 R D +5305 11989 M 0 -35 R D 5396 11989 M 0 -35 R D 5486 11989 M 0 -35 R D +5576 11989 M 0 -35 R D 5666 11989 M 0 -35 R D 5756 11989 M 0 -35 R D +5936 11989 M 0 -35 R D 6026 11989 M 0 -35 R D 6116 11989 M 0 -35 R D +6206 11989 M 0 -35 R D 6296 11989 M 0 -35 R D 6387 11989 M 0 -35 R D +6477 11989 M 0 -35 R D 6567 11989 M 0 -35 R D 6657 11989 M 0 -35 R D +6837 11989 M 0 -35 R D 6927 11989 M 0 -35 R D 7017 11989 M 0 -35 R D +7107 11989 M 0 -35 R D 7197 11989 M 0 -35 R D 2242 8467 M 0 3522 R D +2242 8467 M 99 0 R D gsave 2130 8467 translate 0 0 M 1.01 dup scale +-117.687 0 N +( ) show grestore 2242 8936 M 99 0 R D gsave 2130 8794 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 9406 M 99 0 R D gsave 2130 9264 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 9876 M 99 0 R D gsave 2130 9733 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 10345 M 99 0 R D gsave 2130 10203 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 10815 M 99 0 R D gsave 2130 10673 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 11285 M 99 0 R D gsave 2130 11142 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 11754 M 99 0 R D gsave 2130 11612 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 8584 M 50 0 R D 2242 8702 M 50 0 R D 2242 8819 M +50 0 R D 2242 9054 M 50 0 R D 2242 9171 M 50 0 R D 2242 9289 M 50 0 R D +2242 9523 M 50 0 R D 2242 9641 M 50 0 R D 2242 9758 M 50 0 R D 2242 9993 M +50 0 R D 2242 10110 M 50 0 R D 2242 10228 M 50 0 R D 2242 10463 M 50 0 R D +2242 10580 M 50 0 R D 2242 10698 M 50 0 R D 2242 10932 M 50 0 R D +2242 11050 M 50 0 R D 2242 11167 M 50 0 R D 2242 11402 M 50 0 R D +2242 11519 M 50 0 R D 2242 11637 M 50 0 R D 2242 11872 M 50 0 R D +2242 11989 M 50 0 R D 7197 8467 M 0 3522 R D 7197 8467 M -99 0 R D +7197 8936 M -99 0 R D 7197 9406 M -99 0 R D 7197 9876 M -99 0 R D +7197 10345 M -99 0 R D 7197 10815 M -99 0 R D 7197 11285 M -99 0 R D +7197 11754 M -99 0 R D 7197 8584 M -49 0 R D 7197 8702 M -49 0 R D +7197 8819 M -49 0 R D 7197 9054 M -49 0 R D 7197 9171 M -49 0 R D +7197 9289 M -49 0 R D 7197 9523 M -49 0 R D 7197 9641 M -49 0 R D +7197 9758 M -49 0 R D 7197 9993 M -49 0 R D 7197 10110 M -49 0 R D +7197 10228 M -49 0 R D 7197 10463 M -49 0 R D 7197 10580 M -49 0 R D +7197 10698 M -49 0 R D 7197 10932 M -49 0 R D 7197 11050 M -49 0 R D +7197 11167 M -49 0 R D 7197 11402 M -49 0 R D 7197 11519 M -49 0 R D +7197 11637 M -49 0 R D 7197 11872 M -49 0 R D 7197 11989 M -49 0 R D +20 setlinewidth 1.000 0.000 0.000 setrgbcolor 2242 8467 M 226 0 R 225 0 R +225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 0 3 R 225 0 R 225 0 R 0 78 R 226 0 R +225 0 R 0 408 R 225 0 R 225 0 R 0 819 R 226 0 R 225 0 R 0 724 R 225 0 R +225 0 R 0 -1253 R 225 0 R 226 0 R 0 -776 R 225 0 R 225 0 R 0 -3 R 225 0 R D +0.000 0.514 1.000 setrgbcolor 2242 8467 M 226 0 R 225 0 R 225 0 R 225 0 R +225 0 R 226 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 225 0 R 225 0 R +0 917 R 226 0 R 225 0 R 0 1350 R 225 0 R 225 0 R 0 -756 R 225 0 R 226 0 R +0 -1511 R 225 0 R 225 0 R 225 0 R D 0.000 0.000 0.000 setrgbcolor +2242 8467 M 226 0 R 225 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 225 0 R +225 0 R 226 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 225 0 R 225 0 R +0 3354 R 225 0 R 226 0 R 0 -3354 R 225 0 R 225 0 R 225 0 R D +gsave 2513 11285 translate 0 0 M 1.2 dup scale +(z = 0.5) show grestore 1.000 0.000 0.000 setrgbcolor +gsave 2693 10580 translate 0 0 M 1.01 dup scale +(M) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(B) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( < -19) show grestore 0.000 0.514 1.000 setrgbcolor +gsave 2693 10110 translate 0 0 M 1.01 dup scale +(M) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(B) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( < -22) show grestore 0.000 0.000 0.000 setrgbcolor +gsave 2693 9641 translate 0 0 M 1.01 dup scale +(M) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(B) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( < -25) show grestore 15 setlinewidth 7197 8467 M 4955 0 R D 7197 8467 M +0 70 R D gsave 7197 7933 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 8098 8467 M 0 70 R D gsave 8098 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 8999 8467 M 0 70 R D gsave 8999 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 9900 8467 M 0 70 R D gsave 9900 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 10801 8467 M 0 70 R D gsave 10801 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 11702 8467 M 0 70 R D gsave 11702 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 7287 8467 M 0 35 R D 7378 8467 M 0 35 R D 7468 8467 M +0 35 R D 7558 8467 M 0 35 R D 7648 8467 M 0 35 R D 7738 8467 M 0 35 R D +7828 8467 M 0 35 R D 7918 8467 M 0 35 R D 8008 8467 M 0 35 R D 8188 8467 M +0 35 R D 8278 8467 M 0 35 R D 8369 8467 M 0 35 R D 8459 8467 M 0 35 R D +8549 8467 M 0 35 R D 8639 8467 M 0 35 R D 8729 8467 M 0 35 R D 8819 8467 M +0 35 R D 8909 8467 M 0 35 R D 9089 8467 M 0 35 R D 9179 8467 M 0 35 R D +9269 8467 M 0 35 R D 9360 8467 M 0 35 R D 9450 8467 M 0 35 R D 9540 8467 M +0 35 R D 9630 8467 M 0 35 R D 9720 8467 M 0 35 R D 9810 8467 M 0 35 R D +9990 8467 M 0 35 R D 10080 8467 M 0 35 R D 10170 8467 M 0 35 R D +10260 8467 M 0 35 R D 10351 8467 M 0 35 R D 10441 8467 M 0 35 R D +10531 8467 M 0 35 R D 10621 8467 M 0 35 R D 10711 8467 M 0 35 R D +10891 8467 M 0 35 R D 10981 8467 M 0 35 R D 11071 8467 M 0 35 R D +11161 8467 M 0 35 R D 11251 8467 M 0 35 R D 11342 8467 M 0 35 R D +11432 8467 M 0 35 R D 11522 8467 M 0 35 R D 11612 8467 M 0 35 R D +11792 8467 M 0 35 R D 11882 8467 M 0 35 R D 11972 8467 M 0 35 R D +12062 8467 M 0 35 R D 12152 8467 M 0 35 R D 7197 11989 M 4955 0 R D +7197 11989 M 0 -70 R D 8098 11989 M 0 -70 R D 8999 11989 M 0 -70 R D +9900 11989 M 0 -70 R D 10801 11989 M 0 -70 R D 11702 11989 M 0 -70 R D +7287 11989 M 0 -35 R D 7378 11989 M 0 -35 R D 7468 11989 M 0 -35 R D +7558 11989 M 0 -35 R D 7648 11989 M 0 -35 R D 7738 11989 M 0 -35 R D +7828 11989 M 0 -35 R D 7918 11989 M 0 -35 R D 8008 11989 M 0 -35 R D +8188 11989 M 0 -35 R D 8278 11989 M 0 -35 R D 8369 11989 M 0 -35 R D +8459 11989 M 0 -35 R D 8549 11989 M 0 -35 R D 8639 11989 M 0 -35 R D +8729 11989 M 0 -35 R D 8819 11989 M 0 -35 R D 8909 11989 M 0 -35 R D +9089 11989 M 0 -35 R D 9179 11989 M 0 -35 R D 9269 11989 M 0 -35 R D +9360 11989 M 0 -35 R D 9450 11989 M 0 -35 R D 9540 11989 M 0 -35 R D +9630 11989 M 0 -35 R D 9720 11989 M 0 -35 R D 9810 11989 M 0 -35 R D +9990 11989 M 0 -35 R D 10080 11989 M 0 -35 R D 10170 11989 M 0 -35 R D +10260 11989 M 0 -35 R D 10351 11989 M 0 -35 R D 10441 11989 M 0 -35 R D +10531 11989 M 0 -35 R D 10621 11989 M 0 -35 R D 10711 11989 M 0 -35 R D +10891 11989 M 0 -35 R D 10981 11989 M 0 -35 R D 11071 11989 M 0 -35 R D +11161 11989 M 0 -35 R D 11251 11989 M 0 -35 R D 11342 11989 M 0 -35 R D +11432 11989 M 0 -35 R D 11522 11989 M 0 -35 R D 11612 11989 M 0 -35 R D +11792 11989 M 0 -35 R D 11882 11989 M 0 -35 R D 11972 11989 M 0 -35 R D +12062 11989 M 0 -35 R D 12152 11989 M 0 -35 R D 7197 8467 M 0 3522 R D +7197 8467 M 99 0 R D gsave 7085 8467 translate 0 0 M 1.01 dup scale +-117.687 0 N +( ) show grestore 7197 8936 M 99 0 R D gsave 7085 8794 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 9406 M 99 0 R D gsave 7085 9264 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 9876 M 99 0 R D gsave 7085 9733 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 10345 M 99 0 R D gsave 7085 10203 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 10815 M 99 0 R D gsave 7085 10673 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 11285 M 99 0 R D gsave 7085 11142 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 11754 M 99 0 R D gsave 7085 11612 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 8584 M 50 0 R D 7197 8702 M 50 0 R D 7197 8819 M +50 0 R D 7197 9054 M 50 0 R D 7197 9171 M 50 0 R D 7197 9289 M 50 0 R D +7197 9523 M 50 0 R D 7197 9641 M 50 0 R D 7197 9758 M 50 0 R D 7197 9993 M +50 0 R D 7197 10110 M 50 0 R D 7197 10228 M 50 0 R D 7197 10463 M 50 0 R D +7197 10580 M 50 0 R D 7197 10698 M 50 0 R D 7197 10932 M 50 0 R D +7197 11050 M 50 0 R D 7197 11167 M 50 0 R D 7197 11402 M 50 0 R D +7197 11519 M 50 0 R D 7197 11637 M 50 0 R D 7197 11872 M 50 0 R D +7197 11989 M 50 0 R D 12152 8467 M 0 3522 R D 12152 8467 M -99 0 R D +12152 8936 M -99 0 R D 12152 9406 M -99 0 R D 12152 9876 M -99 0 R D +12152 10345 M -99 0 R D 12152 10815 M -99 0 R D 12152 11285 M -99 0 R D +12152 11754 M -99 0 R D 12152 8584 M -49 0 R D 12152 8702 M -49 0 R D +12152 8819 M -49 0 R D 12152 9054 M -49 0 R D 12152 9171 M -49 0 R D +12152 9289 M -49 0 R D 12152 9523 M -49 0 R D 12152 9641 M -49 0 R D +12152 9758 M -49 0 R D 12152 9993 M -49 0 R D 12152 10110 M -49 0 R D +12152 10228 M -49 0 R D 12152 10463 M -49 0 R D 12152 10580 M -49 0 R D +12152 10698 M -49 0 R D 12152 10932 M -49 0 R D 12152 11050 M -49 0 R D +12152 11167 M -49 0 R D 12152 11402 M -49 0 R D 12152 11519 M -49 0 R D +12152 11637 M -49 0 R D 12152 11872 M -49 0 R D 12152 11989 M -49 0 R D +20 setlinewidth 1.000 0.000 0.000 setrgbcolor 7197 8471 M 226 0 R 0 12 R +225 0 R 225 0 R 0 38 R 225 0 R 225 0 R 0 193 R 226 0 R 225 0 R 0 193 R +225 0 R 225 0 R 0 329 R 226 0 R 225 0 R 0 416 R 225 0 R 225 0 R 0 -564 R +226 0 R 225 0 R 0 -75 R 225 0 R 225 0 R 0 -19 R 225 0 R 226 0 R 0 -243 R +225 0 R 225 0 R 0 -283 R 225 0 R D 0.000 0.514 1.000 setrgbcolor 7197 8467 M +226 0 R 225 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 0 122 R 225 0 R +225 0 R 0 123 R 226 0 R 225 0 R 0 137 R 225 0 R 225 0 R 0 251 R 226 0 R +225 0 R 0 815 R 225 0 R 225 0 R 0 91 R 225 0 R 226 0 R 0 -1219 R 225 0 R +225 0 R 0 -316 R 225 0 R D 0.000 0.000 0.000 setrgbcolor 7197 8467 M 226 0 R +225 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 225 0 R 225 0 R 226 0 R +225 0 R 225 0 R 225 0 R 0 94 R 226 0 R 225 0 R 0 2817 R 225 0 R 225 0 R +0 -1221 R 225 0 R 226 0 R 0 -1690 R 225 0 R 225 0 R 225 0 R D +1.000 0.000 0.000 setrgbcolor gsave 7648 11285 translate 0 0 M +1.01 dup scale +(log L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(SX) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( > 40) show grestore 0.000 0.514 1.000 setrgbcolor +gsave 7648 10815 translate 0 0 M 1.01 dup scale +(log L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(SX) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( > 42) show grestore 0.000 0.000 0.000 setrgbcolor +gsave 7648 10345 translate 0 0 M 1.01 dup scale +(log L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(SX) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( > 44) show grestore 15 setlinewidth 12152 8467 M 4955 0 R D 12152 8467 M +0 70 R D gsave 12152 7933 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 13053 8467 M 0 70 R D gsave 13053 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 13954 8467 M 0 70 R D gsave 13954 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 14855 8467 M 0 70 R D gsave 14855 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 15756 8467 M 0 70 R D gsave 15756 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 16657 8467 M 0 70 R D gsave 16657 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 12242 8467 M 0 35 R D 12333 8467 M 0 35 R D 12423 8467 M +0 35 R D 12513 8467 M 0 35 R D 12603 8467 M 0 35 R D 12693 8467 M 0 35 R D +12783 8467 M 0 35 R D 12873 8467 M 0 35 R D 12963 8467 M 0 35 R D +13143 8467 M 0 35 R D 13233 8467 M 0 35 R D 13324 8467 M 0 35 R D +13414 8467 M 0 35 R D 13504 8467 M 0 35 R D 13594 8467 M 0 35 R D +13684 8467 M 0 35 R D 13774 8467 M 0 35 R D 13864 8467 M 0 35 R D +14044 8467 M 0 35 R D 14134 8467 M 0 35 R D 14224 8467 M 0 35 R D +14315 8467 M 0 35 R D 14405 8467 M 0 35 R D 14495 8467 M 0 35 R D +14585 8467 M 0 35 R D 14675 8467 M 0 35 R D 14765 8467 M 0 35 R D +14945 8467 M 0 35 R D 15035 8467 M 0 35 R D 15125 8467 M 0 35 R D +15216 8467 M 0 35 R D 15306 8467 M 0 35 R D 15396 8467 M 0 35 R D +15486 8467 M 0 35 R D 15576 8467 M 0 35 R D 15666 8467 M 0 35 R D +15846 8467 M 0 35 R D 15936 8467 M 0 35 R D 16026 8467 M 0 35 R D +16116 8467 M 0 35 R D 16207 8467 M 0 35 R D 16297 8467 M 0 35 R D +16387 8467 M 0 35 R D 16477 8467 M 0 35 R D 16567 8467 M 0 35 R D +16747 8467 M 0 35 R D 16837 8467 M 0 35 R D 16927 8467 M 0 35 R D +17017 8467 M 0 35 R D 17107 8467 M 0 35 R D 12152 11989 M 4955 0 R D +12152 11989 M 0 -70 R D 13053 11989 M 0 -70 R D 13954 11989 M 0 -70 R D +14855 11989 M 0 -70 R D 15756 11989 M 0 -70 R D 16657 11989 M 0 -70 R D +12242 11989 M 0 -35 R D 12333 11989 M 0 -35 R D 12423 11989 M 0 -35 R D +12513 11989 M 0 -35 R D 12603 11989 M 0 -35 R D 12693 11989 M 0 -35 R D +12783 11989 M 0 -35 R D 12873 11989 M 0 -35 R D 12963 11989 M 0 -35 R D +13143 11989 M 0 -35 R D 13233 11989 M 0 -35 R D 13324 11989 M 0 -35 R D +13414 11989 M 0 -35 R D 13504 11989 M 0 -35 R D 13594 11989 M 0 -35 R D +13684 11989 M 0 -35 R D 13774 11989 M 0 -35 R D 13864 11989 M 0 -35 R D +14044 11989 M 0 -35 R D 14134 11989 M 0 -35 R D 14224 11989 M 0 -35 R D +14315 11989 M 0 -35 R D 14405 11989 M 0 -35 R D 14495 11989 M 0 -35 R D +14585 11989 M 0 -35 R D 14675 11989 M 0 -35 R D 14765 11989 M 0 -35 R D +14945 11989 M 0 -35 R D 15035 11989 M 0 -35 R D 15125 11989 M 0 -35 R D +15216 11989 M 0 -35 R D 15306 11989 M 0 -35 R D 15396 11989 M 0 -35 R D +15486 11989 M 0 -35 R D 15576 11989 M 0 -35 R D 15666 11989 M 0 -35 R D +15846 11989 M 0 -35 R D 15936 11989 M 0 -35 R D 16026 11989 M 0 -35 R D +16116 11989 M 0 -35 R D 16207 11989 M 0 -35 R D 16297 11989 M 0 -35 R D +16387 11989 M 0 -35 R D 16477 11989 M 0 -35 R D 16567 11989 M 0 -35 R D +16747 11989 M 0 -35 R D 16837 11989 M 0 -35 R D 16927 11989 M 0 -35 R D +17017 11989 M 0 -35 R D 17107 11989 M 0 -35 R D 12152 8467 M 0 3522 R D +12152 8467 M 99 0 R D gsave 12040 8467 translate 0 0 M 1.01 dup scale +-117.687 0 N +( ) show grestore 12152 8936 M 99 0 R D gsave 12040 8794 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 9406 M 99 0 R D gsave 12040 9264 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 9876 M 99 0 R D gsave 12040 9733 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 10345 M 99 0 R D gsave 12040 10203 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 10815 M 99 0 R D gsave 12040 10673 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 11285 M 99 0 R D gsave 12040 11142 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 11754 M 99 0 R D gsave 12040 11612 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 8584 M 50 0 R D 12152 8702 M 50 0 R D 12152 8819 M +50 0 R D 12152 9054 M 50 0 R D 12152 9171 M 50 0 R D 12152 9289 M 50 0 R D +12152 9523 M 50 0 R D 12152 9641 M 50 0 R D 12152 9758 M 50 0 R D +12152 9993 M 50 0 R D 12152 10110 M 50 0 R D 12152 10228 M 50 0 R D +12152 10463 M 50 0 R D 12152 10580 M 50 0 R D 12152 10698 M 50 0 R D +12152 10932 M 50 0 R D 12152 11050 M 50 0 R D 12152 11167 M 50 0 R D +12152 11402 M 50 0 R D 12152 11519 M 50 0 R D 12152 11637 M 50 0 R D +12152 11872 M 50 0 R D 12152 11989 M 50 0 R D 17107 8467 M 0 3522 R D +17107 8467 M -99 0 R D 17107 8936 M -99 0 R D 17107 9406 M -99 0 R D +17107 9876 M -99 0 R D 17107 10345 M -99 0 R D 17107 10815 M -99 0 R D +17107 11285 M -99 0 R D 17107 11754 M -99 0 R D 17107 8584 M -49 0 R D +17107 8702 M -49 0 R D 17107 8819 M -49 0 R D 17107 9054 M -49 0 R D +17107 9171 M -49 0 R D 17107 9289 M -49 0 R D 17107 9523 M -49 0 R D +17107 9641 M -49 0 R D 17107 9758 M -49 0 R D 17107 9993 M -49 0 R D +17107 10110 M -49 0 R D 17107 10228 M -49 0 R D 17107 10463 M -49 0 R D +17107 10580 M -49 0 R D 17107 10698 M -49 0 R D 17107 10932 M -49 0 R D +17107 11050 M -49 0 R D 17107 11167 M -49 0 R D 17107 11402 M -49 0 R D +17107 11519 M -49 0 R D 17107 11637 M -49 0 R D 17107 11872 M -49 0 R D +17107 11989 M -49 0 R D 20 setlinewidth 1.000 0.000 0.000 setrgbcolor +12152 8468 M 226 0 R 0 5 R 225 0 R 225 0 R 0 18 R 225 0 R 226 0 R 0 148 R +225 0 R 225 0 R 0 273 R 225 0 R 225 0 R 0 240 R 226 0 R 225 0 R 0 371 R +225 0 R 225 0 R 0 -38 R 226 0 R 225 0 R 0 -378 R 225 0 R 225 0 R 0 -223 R +226 0 R 225 0 R 0 -187 R 225 0 R 225 0 R 0 -229 R 225 0 R D +0.000 0.514 1.000 setrgbcolor 12152 8467 M 226 0 R 225 0 R 225 0 R 225 0 R +226 0 R 0 8 R 225 0 R 225 0 R 0 120 R 225 0 R 225 0 R 0 273 R 226 0 R +225 0 R 0 367 R 225 0 R 225 0 R 0 153 R 226 0 R 225 0 R 0 449 R 225 0 R +225 0 R 0 -464 R 226 0 R 225 0 R 0 -715 R 225 0 R 225 0 R 0 -189 R 225 0 R D +0.000 0.000 0.000 setrgbcolor 12152 8467 M 226 0 R 225 0 R 225 0 R 225 0 R +226 0 R 225 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 225 0 R 225 0 R +0 208 R 226 0 R 225 0 R 0 2923 R 225 0 R 225 0 R 0 -1775 R 226 0 R 225 0 R +0 -1356 R 225 0 R 225 0 R 225 0 R D 1.000 0.000 0.000 setrgbcolor +gsave 12603 11285 translate 0 0 M 1.01 dup scale +(log L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(HX) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( > 41) show grestore 0.000 0.514 1.000 setrgbcolor +gsave 12603 10815 translate 0 0 M 1.01 dup scale +(log L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(HX) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( > 43) show grestore 0.000 0.000 0.000 setrgbcolor +gsave 12603 10345 translate 0 0 M 1.01 dup scale +(log L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(HX) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( > 45) show grestore 15 setlinewidth 2242 4944 M 4955 0 R D 2242 4944 M +0 71 R D gsave 2242 4411 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 3143 4944 M 0 71 R D gsave 3143 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 4044 4944 M 0 71 R D gsave 4044 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 4945 4944 M 0 71 R D gsave 4945 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 5846 4944 M 0 71 R D gsave 5846 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 6747 4944 M 0 71 R D gsave 6747 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 2332 4944 M 0 36 R D 2422 4944 M 0 36 R D 2513 4944 M +0 36 R D 2603 4944 M 0 36 R D 2693 4944 M 0 36 R D 2783 4944 M 0 36 R D +2873 4944 M 0 36 R D 2963 4944 M 0 36 R D 3053 4944 M 0 36 R D 3233 4944 M +0 36 R D 3323 4944 M 0 36 R D 3413 4944 M 0 36 R D 3504 4944 M 0 36 R D +3594 4944 M 0 36 R D 3684 4944 M 0 36 R D 3774 4944 M 0 36 R D 3864 4944 M +0 36 R D 3954 4944 M 0 36 R D 4134 4944 M 0 36 R D 4224 4944 M 0 36 R D +4314 4944 M 0 36 R D 4404 4944 M 0 36 R D 4495 4944 M 0 36 R D 4585 4944 M +0 36 R D 4675 4944 M 0 36 R D 4765 4944 M 0 36 R D 4855 4944 M 0 36 R D +5035 4944 M 0 36 R D 5125 4944 M 0 36 R D 5215 4944 M 0 36 R D 5305 4944 M +0 36 R D 5396 4944 M 0 36 R D 5486 4944 M 0 36 R D 5576 4944 M 0 36 R D +5666 4944 M 0 36 R D 5756 4944 M 0 36 R D 5936 4944 M 0 36 R D 6026 4944 M +0 36 R D 6116 4944 M 0 36 R D 6206 4944 M 0 36 R D 6296 4944 M 0 36 R D +6387 4944 M 0 36 R D 6477 4944 M 0 36 R D 6567 4944 M 0 36 R D 6657 4944 M +0 36 R D 6837 4944 M 0 36 R D 6927 4944 M 0 36 R D 7017 4944 M 0 36 R D +7107 4944 M 0 36 R D 7197 4944 M 0 36 R D 2242 8467 M 4955 0 R D 2242 8467 M +0 -71 R D 3143 8467 M 0 -71 R D 4044 8467 M 0 -71 R D 4945 8467 M 0 -71 R D +5846 8467 M 0 -71 R D 6747 8467 M 0 -71 R D 2332 8467 M 0 -35 R D +2422 8467 M 0 -35 R D 2513 8467 M 0 -35 R D 2603 8467 M 0 -35 R D +2693 8467 M 0 -35 R D 2783 8467 M 0 -35 R D 2873 8467 M 0 -35 R D +2963 8467 M 0 -35 R D 3053 8467 M 0 -35 R D 3233 8467 M 0 -35 R D +3323 8467 M 0 -35 R D 3413 8467 M 0 -35 R D 3504 8467 M 0 -35 R D +3594 8467 M 0 -35 R D 3684 8467 M 0 -35 R D 3774 8467 M 0 -35 R D +3864 8467 M 0 -35 R D 3954 8467 M 0 -35 R D 4134 8467 M 0 -35 R D +4224 8467 M 0 -35 R D 4314 8467 M 0 -35 R D 4404 8467 M 0 -35 R D +4495 8467 M 0 -35 R D 4585 8467 M 0 -35 R D 4675 8467 M 0 -35 R D +4765 8467 M 0 -35 R D 4855 8467 M 0 -35 R D 5035 8467 M 0 -35 R D +5125 8467 M 0 -35 R D 5215 8467 M 0 -35 R D 5305 8467 M 0 -35 R D +5396 8467 M 0 -35 R D 5486 8467 M 0 -35 R D 5576 8467 M 0 -35 R D +5666 8467 M 0 -35 R D 5756 8467 M 0 -35 R D 5936 8467 M 0 -35 R D +6026 8467 M 0 -35 R D 6116 8467 M 0 -35 R D 6206 8467 M 0 -35 R D +6296 8467 M 0 -35 R D 6387 8467 M 0 -35 R D 6477 8467 M 0 -35 R D +6567 8467 M 0 -35 R D 6657 8467 M 0 -35 R D 6837 8467 M 0 -35 R D +6927 8467 M 0 -35 R D 7017 8467 M 0 -35 R D 7107 8467 M 0 -35 R D +7197 8467 M 0 -35 R D 2242 4944 M 0 3523 R D 2242 4944 M 99 0 R D +gsave 2130 4944 translate 0 0 M 1.01 dup scale -117.687 0 N +( ) show grestore 2242 5414 M 99 0 R D gsave 2130 5272 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 5884 M 99 0 R D gsave 2130 5742 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 6353 M 99 0 R D gsave 2130 6211 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 6823 M 99 0 R D gsave 2130 6681 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 7293 M 99 0 R D gsave 2130 7150 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 7762 M 99 0 R D gsave 2130 7620 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 8232 M 99 0 R D gsave 2130 8090 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 5062 M 50 0 R D 2242 5179 M 50 0 R D 2242 5297 M +50 0 R D 2242 5531 M 50 0 R D 2242 5649 M 50 0 R D 2242 5766 M 50 0 R D +2242 6001 M 50 0 R D 2242 6119 M 50 0 R D 2242 6236 M 50 0 R D 2242 6471 M +50 0 R D 2242 6588 M 50 0 R D 2242 6706 M 50 0 R D 2242 6940 M 50 0 R D +2242 7058 M 50 0 R D 2242 7175 M 50 0 R D 2242 7410 M 50 0 R D 2242 7527 M +50 0 R D 2242 7645 M 50 0 R D 2242 7880 M 50 0 R D 2242 7997 M 50 0 R D +2242 8115 M 50 0 R D 2242 8349 M 50 0 R D 2242 8467 M 50 0 R D 7197 4944 M +0 3523 R D 7197 4944 M -99 0 R D 7197 5414 M -99 0 R D 7197 5884 M -99 0 R D +7197 6353 M -99 0 R D 7197 6823 M -99 0 R D 7197 7293 M -99 0 R D +7197 7762 M -99 0 R D 7197 8232 M -99 0 R D 7197 5062 M -49 0 R D +7197 5179 M -49 0 R D 7197 5297 M -49 0 R D 7197 5531 M -49 0 R D +7197 5649 M -49 0 R D 7197 5766 M -49 0 R D 7197 6001 M -49 0 R D +7197 6119 M -49 0 R D 7197 6236 M -49 0 R D 7197 6471 M -49 0 R D +7197 6588 M -49 0 R D 7197 6706 M -49 0 R D 7197 6940 M -49 0 R D +7197 7058 M -49 0 R D 7197 7175 M -49 0 R D 7197 7410 M -49 0 R D +7197 7527 M -49 0 R D 7197 7645 M -49 0 R D 7197 7880 M -49 0 R D +7197 7997 M -49 0 R D 7197 8115 M -49 0 R D 7197 8349 M -49 0 R D +7197 8467 M -49 0 R D 20 setlinewidth 1.000 0.000 0.000 setrgbcolor +2242 4944 M 226 0 R 225 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 0 12 R +225 0 R 225 0 R 0 91 R 226 0 R 225 0 R 0 464 R 225 0 R 225 0 R 0 940 R +226 0 R 225 0 R 0 334 R 225 0 R 225 0 R 0 -1181 R 225 0 R 226 0 R 0 -651 R +225 0 R 225 0 R 0 -9 R 225 0 R D 0.000 0.514 1.000 setrgbcolor 2242 4944 M +226 0 R 225 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 225 0 R 225 0 R +226 0 R 225 0 R 225 0 R 225 0 R 0 1115 R 226 0 R 225 0 R 0 1594 R 225 0 R +225 0 R 0 -1871 R 225 0 R 226 0 R 0 -802 R 225 0 R 225 0 R 0 -36 R 225 0 R D +0.000 0.000 0.000 setrgbcolor 2242 4944 M 226 0 R 225 0 R 225 0 R 225 0 R +225 0 R 226 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 225 0 R 225 0 R +226 0 R 225 0 R 225 0 R 225 0 R 0 2684 R 225 0 R 226 0 R 0 -2013 R 225 0 R +225 0 R 0 -671 R 225 0 R D gsave 2513 7762 translate 0 0 M 1.2 dup scale +(z = 1.0) show grestore 15 setlinewidth 7197 4944 M 4955 0 R D 7197 4944 M +0 71 R D gsave 7197 4411 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 8098 4944 M 0 71 R D gsave 8098 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 8999 4944 M 0 71 R D gsave 8999 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 9900 4944 M 0 71 R D gsave 9900 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 10801 4944 M 0 71 R D gsave 10801 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 11702 4944 M 0 71 R D gsave 11702 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 7287 4944 M 0 36 R D 7378 4944 M 0 36 R D 7468 4944 M +0 36 R D 7558 4944 M 0 36 R D 7648 4944 M 0 36 R D 7738 4944 M 0 36 R D +7828 4944 M 0 36 R D 7918 4944 M 0 36 R D 8008 4944 M 0 36 R D 8188 4944 M +0 36 R D 8278 4944 M 0 36 R D 8369 4944 M 0 36 R D 8459 4944 M 0 36 R D +8549 4944 M 0 36 R D 8639 4944 M 0 36 R D 8729 4944 M 0 36 R D 8819 4944 M +0 36 R D 8909 4944 M 0 36 R D 9089 4944 M 0 36 R D 9179 4944 M 0 36 R D +9269 4944 M 0 36 R D 9360 4944 M 0 36 R D 9450 4944 M 0 36 R D 9540 4944 M +0 36 R D 9630 4944 M 0 36 R D 9720 4944 M 0 36 R D 9810 4944 M 0 36 R D +9990 4944 M 0 36 R D 10080 4944 M 0 36 R D 10170 4944 M 0 36 R D +10260 4944 M 0 36 R D 10351 4944 M 0 36 R D 10441 4944 M 0 36 R D +10531 4944 M 0 36 R D 10621 4944 M 0 36 R D 10711 4944 M 0 36 R D +10891 4944 M 0 36 R D 10981 4944 M 0 36 R D 11071 4944 M 0 36 R D +11161 4944 M 0 36 R D 11251 4944 M 0 36 R D 11342 4944 M 0 36 R D +11432 4944 M 0 36 R D 11522 4944 M 0 36 R D 11612 4944 M 0 36 R D +11792 4944 M 0 36 R D 11882 4944 M 0 36 R D 11972 4944 M 0 36 R D +12062 4944 M 0 36 R D 12152 4944 M 0 36 R D 7197 8467 M 4955 0 R D +7197 8467 M 0 -71 R D 8098 8467 M 0 -71 R D 8999 8467 M 0 -71 R D +9900 8467 M 0 -71 R D 10801 8467 M 0 -71 R D 11702 8467 M 0 -71 R D +7287 8467 M 0 -35 R D 7378 8467 M 0 -35 R D 7468 8467 M 0 -35 R D +7558 8467 M 0 -35 R D 7648 8467 M 0 -35 R D 7738 8467 M 0 -35 R D +7828 8467 M 0 -35 R D 7918 8467 M 0 -35 R D 8008 8467 M 0 -35 R D +8188 8467 M 0 -35 R D 8278 8467 M 0 -35 R D 8369 8467 M 0 -35 R D +8459 8467 M 0 -35 R D 8549 8467 M 0 -35 R D 8639 8467 M 0 -35 R D +8729 8467 M 0 -35 R D 8819 8467 M 0 -35 R D 8909 8467 M 0 -35 R D +9089 8467 M 0 -35 R D 9179 8467 M 0 -35 R D 9269 8467 M 0 -35 R D +9360 8467 M 0 -35 R D 9450 8467 M 0 -35 R D 9540 8467 M 0 -35 R D +9630 8467 M 0 -35 R D 9720 8467 M 0 -35 R D 9810 8467 M 0 -35 R D +9990 8467 M 0 -35 R D 10080 8467 M 0 -35 R D 10170 8467 M 0 -35 R D +10260 8467 M 0 -35 R D 10351 8467 M 0 -35 R D 10441 8467 M 0 -35 R D +10531 8467 M 0 -35 R D 10621 8467 M 0 -35 R D 10711 8467 M 0 -35 R D +10891 8467 M 0 -35 R D 10981 8467 M 0 -35 R D 11071 8467 M 0 -35 R D +11161 8467 M 0 -35 R D 11251 8467 M 0 -35 R D 11342 8467 M 0 -35 R D +11432 8467 M 0 -35 R D 11522 8467 M 0 -35 R D 11612 8467 M 0 -35 R D +11792 8467 M 0 -35 R D 11882 8467 M 0 -35 R D 11972 8467 M 0 -35 R D +12062 8467 M 0 -35 R D 12152 8467 M 0 -35 R D 7197 4944 M 0 3523 R D +7197 4944 M 99 0 R D gsave 7085 4944 translate 0 0 M 1.01 dup scale +-117.687 0 N +( ) show grestore 7197 5414 M 99 0 R D gsave 7085 5272 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 5884 M 99 0 R D gsave 7085 5742 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 6353 M 99 0 R D gsave 7085 6211 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 6823 M 99 0 R D gsave 7085 6681 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 7293 M 99 0 R D gsave 7085 7150 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 7762 M 99 0 R D gsave 7085 7620 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 8232 M 99 0 R D gsave 7085 8090 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 5062 M 50 0 R D 7197 5179 M 50 0 R D 7197 5297 M +50 0 R D 7197 5531 M 50 0 R D 7197 5649 M 50 0 R D 7197 5766 M 50 0 R D +7197 6001 M 50 0 R D 7197 6119 M 50 0 R D 7197 6236 M 50 0 R D 7197 6471 M +50 0 R D 7197 6588 M 50 0 R D 7197 6706 M 50 0 R D 7197 6940 M 50 0 R D +7197 7058 M 50 0 R D 7197 7175 M 50 0 R D 7197 7410 M 50 0 R D 7197 7527 M +50 0 R D 7197 7645 M 50 0 R D 7197 7880 M 50 0 R D 7197 7997 M 50 0 R D +7197 8115 M 50 0 R D 7197 8349 M 50 0 R D 7197 8467 M 50 0 R D 12152 4944 M +0 3523 R D 12152 4944 M -99 0 R D 12152 5414 M -99 0 R D 12152 5884 M +-99 0 R D 12152 6353 M -99 0 R D 12152 6823 M -99 0 R D 12152 7293 M -99 0 R +D 12152 7762 M -99 0 R D 12152 8232 M -99 0 R D 12152 5062 M -49 0 R D +12152 5179 M -49 0 R D 12152 5297 M -49 0 R D 12152 5531 M -49 0 R D +12152 5649 M -49 0 R D 12152 5766 M -49 0 R D 12152 6001 M -49 0 R D +12152 6119 M -49 0 R D 12152 6236 M -49 0 R D 12152 6471 M -49 0 R D +12152 6588 M -49 0 R D 12152 6706 M -49 0 R D 12152 6940 M -49 0 R D +12152 7058 M -49 0 R D 12152 7175 M -49 0 R D 12152 7410 M -49 0 R D +12152 7527 M -49 0 R D 12152 7645 M -49 0 R D 12152 7880 M -49 0 R D +12152 7997 M -49 0 R D 12152 8115 M -49 0 R D 12152 8349 M -49 0 R D +12152 8467 M -49 0 R D 20 setlinewidth 1.000 0.000 0.000 setrgbcolor +7197 4951 M 226 0 R 0 18 R 225 0 R 225 0 R 0 51 R 225 0 R 225 0 R 0 298 R +226 0 R 225 0 R 0 213 R 225 0 R 225 0 R 0 278 R 226 0 R 225 0 R 0 238 R +225 0 R 225 0 R 0 -532 R 226 0 R 225 0 R 0 -56 R 225 0 R 225 0 R 0 -106 R +225 0 R 226 0 R 0 -239 R 225 0 R 225 0 R 0 -169 R 225 0 R D +0.000 0.514 1.000 setrgbcolor 7197 4944 M 226 0 R 225 0 R 225 0 R 225 0 R +225 0 R 0 2 R 226 0 R 225 0 R 0 168 R 225 0 R 225 0 R 0 196 R 226 0 R +225 0 R 0 102 R 225 0 R 225 0 R 0 303 R 226 0 R 225 0 R 0 736 R 225 0 R +225 0 R 0 -292 R 225 0 R 226 0 R 0 -1015 R 225 0 R 225 0 R 0 -199 R 225 0 R +D 0.000 0.000 0.000 setrgbcolor 7197 4944 M 226 0 R 225 0 R 225 0 R 225 0 R +225 0 R 226 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 225 0 R 225 0 R +0 54 R 226 0 R 225 0 R 0 2926 R 225 0 R 225 0 R 0 -1345 R 225 0 R 226 0 R +0 -1605 R 225 0 R 225 0 R 0 -30 R 225 0 R D 15 setlinewidth 12152 4944 M +4955 0 R D 12152 4944 M 0 71 R D gsave 12152 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 13053 4944 M 0 71 R D gsave 13053 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 13954 4944 M 0 71 R D gsave 13954 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 14855 4944 M 0 71 R D gsave 14855 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 15756 4944 M 0 71 R D gsave 15756 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 16657 4944 M 0 71 R D gsave 16657 4411 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 12242 4944 M 0 36 R D 12333 4944 M 0 36 R D 12423 4944 M +0 36 R D 12513 4944 M 0 36 R D 12603 4944 M 0 36 R D 12693 4944 M 0 36 R D +12783 4944 M 0 36 R D 12873 4944 M 0 36 R D 12963 4944 M 0 36 R D +13143 4944 M 0 36 R D 13233 4944 M 0 36 R D 13324 4944 M 0 36 R D +13414 4944 M 0 36 R D 13504 4944 M 0 36 R D 13594 4944 M 0 36 R D +13684 4944 M 0 36 R D 13774 4944 M 0 36 R D 13864 4944 M 0 36 R D +14044 4944 M 0 36 R D 14134 4944 M 0 36 R D 14224 4944 M 0 36 R D +14315 4944 M 0 36 R D 14405 4944 M 0 36 R D 14495 4944 M 0 36 R D +14585 4944 M 0 36 R D 14675 4944 M 0 36 R D 14765 4944 M 0 36 R D +14945 4944 M 0 36 R D 15035 4944 M 0 36 R D 15125 4944 M 0 36 R D +15216 4944 M 0 36 R D 15306 4944 M 0 36 R D 15396 4944 M 0 36 R D +15486 4944 M 0 36 R D 15576 4944 M 0 36 R D 15666 4944 M 0 36 R D +15846 4944 M 0 36 R D 15936 4944 M 0 36 R D 16026 4944 M 0 36 R D +16116 4944 M 0 36 R D 16207 4944 M 0 36 R D 16297 4944 M 0 36 R D +16387 4944 M 0 36 R D 16477 4944 M 0 36 R D 16567 4944 M 0 36 R D +16747 4944 M 0 36 R D 16837 4944 M 0 36 R D 16927 4944 M 0 36 R D +17017 4944 M 0 36 R D 17107 4944 M 0 36 R D 12152 8467 M 4955 0 R D +12152 8467 M 0 -71 R D 13053 8467 M 0 -71 R D 13954 8467 M 0 -71 R D +14855 8467 M 0 -71 R D 15756 8467 M 0 -71 R D 16657 8467 M 0 -71 R D +12242 8467 M 0 -35 R D 12333 8467 M 0 -35 R D 12423 8467 M 0 -35 R D +12513 8467 M 0 -35 R D 12603 8467 M 0 -35 R D 12693 8467 M 0 -35 R D +12783 8467 M 0 -35 R D 12873 8467 M 0 -35 R D 12963 8467 M 0 -35 R D +13143 8467 M 0 -35 R D 13233 8467 M 0 -35 R D 13324 8467 M 0 -35 R D +13414 8467 M 0 -35 R D 13504 8467 M 0 -35 R D 13594 8467 M 0 -35 R D +13684 8467 M 0 -35 R D 13774 8467 M 0 -35 R D 13864 8467 M 0 -35 R D +14044 8467 M 0 -35 R D 14134 8467 M 0 -35 R D 14224 8467 M 0 -35 R D +14315 8467 M 0 -35 R D 14405 8467 M 0 -35 R D 14495 8467 M 0 -35 R D +14585 8467 M 0 -35 R D 14675 8467 M 0 -35 R D 14765 8467 M 0 -35 R D +14945 8467 M 0 -35 R D 15035 8467 M 0 -35 R D 15125 8467 M 0 -35 R D +15216 8467 M 0 -35 R D 15306 8467 M 0 -35 R D 15396 8467 M 0 -35 R D +15486 8467 M 0 -35 R D 15576 8467 M 0 -35 R D 15666 8467 M 0 -35 R D +15846 8467 M 0 -35 R D 15936 8467 M 0 -35 R D 16026 8467 M 0 -35 R D +16116 8467 M 0 -35 R D 16207 8467 M 0 -35 R D 16297 8467 M 0 -35 R D +16387 8467 M 0 -35 R D 16477 8467 M 0 -35 R D 16567 8467 M 0 -35 R D +16747 8467 M 0 -35 R D 16837 8467 M 0 -35 R D 16927 8467 M 0 -35 R D +17017 8467 M 0 -35 R D 17107 8467 M 0 -35 R D 12152 4944 M 0 3523 R D +12152 4944 M 99 0 R D gsave 12040 4944 translate 0 0 M 1.01 dup scale +-117.687 0 N +( ) show grestore 12152 5414 M 99 0 R D gsave 12040 5272 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 5884 M 99 0 R D gsave 12040 5742 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 6353 M 99 0 R D gsave 12040 6211 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 6823 M 99 0 R D gsave 12040 6681 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 7293 M 99 0 R D gsave 12040 7150 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 7762 M 99 0 R D gsave 12040 7620 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 8232 M 99 0 R D gsave 12040 8090 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 5062 M 50 0 R D 12152 5179 M 50 0 R D 12152 5297 M +50 0 R D 12152 5531 M 50 0 R D 12152 5649 M 50 0 R D 12152 5766 M 50 0 R D +12152 6001 M 50 0 R D 12152 6119 M 50 0 R D 12152 6236 M 50 0 R D +12152 6471 M 50 0 R D 12152 6588 M 50 0 R D 12152 6706 M 50 0 R D +12152 6940 M 50 0 R D 12152 7058 M 50 0 R D 12152 7175 M 50 0 R D +12152 7410 M 50 0 R D 12152 7527 M 50 0 R D 12152 7645 M 50 0 R D +12152 7880 M 50 0 R D 12152 7997 M 50 0 R D 12152 8115 M 50 0 R D +12152 8349 M 50 0 R D 12152 8467 M 50 0 R D 17107 4944 M 0 3523 R D +17107 4944 M -99 0 R D 17107 5414 M -99 0 R D 17107 5884 M -99 0 R D +17107 6353 M -99 0 R D 17107 6823 M -99 0 R D 17107 7293 M -99 0 R D +17107 7762 M -99 0 R D 17107 8232 M -99 0 R D 17107 5062 M -49 0 R D +17107 5179 M -49 0 R D 17107 5297 M -49 0 R D 17107 5531 M -49 0 R D +17107 5649 M -49 0 R D 17107 5766 M -49 0 R D 17107 6001 M -49 0 R D +17107 6119 M -49 0 R D 17107 6236 M -49 0 R D 17107 6471 M -49 0 R D +17107 6588 M -49 0 R D 17107 6706 M -49 0 R D 17107 6940 M -49 0 R D +17107 7058 M -49 0 R D 17107 7175 M -49 0 R D 17107 7410 M -49 0 R D +17107 7527 M -49 0 R D 17107 7645 M -49 0 R D 17107 7880 M -49 0 R D +17107 7997 M -49 0 R D 17107 8115 M -49 0 R D 17107 8349 M -49 0 R D +17107 8467 M -49 0 R D 20 setlinewidth 1.000 0.000 0.000 setrgbcolor +12152 4949 M 226 0 R 0 10 R 225 0 R 225 0 R 0 28 R 225 0 R 226 0 R 0 225 R +225 0 R 225 0 R 0 336 R 225 0 R 225 0 R 0 198 R 226 0 R 225 0 R 0 248 R +225 0 R 225 0 R 0 -148 R 226 0 R 225 0 R 0 -338 R 225 0 R 225 0 R 0 -248 R +226 0 R 225 0 R 0 -184 R 225 0 R 225 0 R 0 -131 R 225 0 R D +0.000 0.514 1.000 setrgbcolor 12152 4944 M 226 0 R 225 0 R 225 0 R 225 0 R +226 0 R 0 19 R 225 0 R 225 0 R 0 183 R 225 0 R 225 0 R 0 380 R 226 0 R +225 0 R 0 330 R 225 0 R 225 0 R 0 47 R 226 0 R 225 0 R 0 260 R 225 0 R +225 0 R 0 -525 R 226 0 R 225 0 R 0 -582 R 225 0 R 225 0 R 0 -111 R 225 0 R D +0.000 0.000 0.000 setrgbcolor 12152 4944 M 226 0 R 225 0 R 225 0 R 225 0 R +226 0 R 225 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 225 0 R 225 0 R +0 219 R 226 0 R 225 0 R 0 2754 R 225 0 R 225 0 R 0 -1478 R 226 0 R 225 0 R +0 -1484 R 225 0 R 225 0 R 0 -11 R 225 0 R D 15 setlinewidth 2242 1422 M +4955 0 R D 2242 1422 M 0 71 R D gsave 2242 889 translate 0 0 M +1.01 dup scale -188.172 0 N +(-5) show grestore 3143 1422 M 0 71 R D gsave 3143 889 translate 0 0 M +1.01 dup scale -188.172 0 N +(-4) show grestore 4044 1422 M 0 71 R D gsave 4044 889 translate 0 0 M +1.01 dup scale -188.172 0 N +(-3) show grestore 4945 1422 M 0 71 R D gsave 4945 889 translate 0 0 M +1.01 dup scale -188.172 0 N +(-2) show grestore 5846 1422 M 0 71 R D gsave 5846 889 translate 0 0 M +1.01 dup scale -188.172 0 N +(-1) show grestore 6747 1422 M 0 71 R D gsave 6747 889 translate 0 0 M +1.01 dup scale -117.687 0 N +(0) show grestore 2332 1422 M 0 35 R D 2422 1422 M 0 35 R D 2513 1422 M +0 35 R D 2603 1422 M 0 35 R D 2693 1422 M 0 35 R D 2783 1422 M 0 35 R D +2873 1422 M 0 35 R D 2963 1422 M 0 35 R D 3053 1422 M 0 35 R D 3233 1422 M +0 35 R D 3323 1422 M 0 35 R D 3413 1422 M 0 35 R D 3504 1422 M 0 35 R D +3594 1422 M 0 35 R D 3684 1422 M 0 35 R D 3774 1422 M 0 35 R D 3864 1422 M +0 35 R D 3954 1422 M 0 35 R D 4134 1422 M 0 35 R D 4224 1422 M 0 35 R D +4314 1422 M 0 35 R D 4404 1422 M 0 35 R D 4495 1422 M 0 35 R D 4585 1422 M +0 35 R D 4675 1422 M 0 35 R D 4765 1422 M 0 35 R D 4855 1422 M 0 35 R D +5035 1422 M 0 35 R D 5125 1422 M 0 35 R D 5215 1422 M 0 35 R D 5305 1422 M +0 35 R D 5396 1422 M 0 35 R D 5486 1422 M 0 35 R D 5576 1422 M 0 35 R D +5666 1422 M 0 35 R D 5756 1422 M 0 35 R D 5936 1422 M 0 35 R D 6026 1422 M +0 35 R D 6116 1422 M 0 35 R D 6206 1422 M 0 35 R D 6296 1422 M 0 35 R D +6387 1422 M 0 35 R D 6477 1422 M 0 35 R D 6567 1422 M 0 35 R D 6657 1422 M +0 35 R D 6837 1422 M 0 35 R D 6927 1422 M 0 35 R D 7017 1422 M 0 35 R D +7107 1422 M 0 35 R D 7197 1422 M 0 35 R D 2242 4944 M 4955 0 R D 2242 4944 M +0 -70 R D 3143 4944 M 0 -70 R D 4044 4944 M 0 -70 R D 4945 4944 M 0 -70 R D +5846 4944 M 0 -70 R D 6747 4944 M 0 -70 R D 2332 4944 M 0 -35 R D +2422 4944 M 0 -35 R D 2513 4944 M 0 -35 R D 2603 4944 M 0 -35 R D +2693 4944 M 0 -35 R D 2783 4944 M 0 -35 R D 2873 4944 M 0 -35 R D +2963 4944 M 0 -35 R D 3053 4944 M 0 -35 R D 3233 4944 M 0 -35 R D +3323 4944 M 0 -35 R D 3413 4944 M 0 -35 R D 3504 4944 M 0 -35 R D +3594 4944 M 0 -35 R D 3684 4944 M 0 -35 R D 3774 4944 M 0 -35 R D +3864 4944 M 0 -35 R D 3954 4944 M 0 -35 R D 4134 4944 M 0 -35 R D +4224 4944 M 0 -35 R D 4314 4944 M 0 -35 R D 4404 4944 M 0 -35 R D +4495 4944 M 0 -35 R D 4585 4944 M 0 -35 R D 4675 4944 M 0 -35 R D +4765 4944 M 0 -35 R D 4855 4944 M 0 -35 R D 5035 4944 M 0 -35 R D +5125 4944 M 0 -35 R D 5215 4944 M 0 -35 R D 5305 4944 M 0 -35 R D +5396 4944 M 0 -35 R D 5486 4944 M 0 -35 R D 5576 4944 M 0 -35 R D +5666 4944 M 0 -35 R D 5756 4944 M 0 -35 R D 5936 4944 M 0 -35 R D +6026 4944 M 0 -35 R D 6116 4944 M 0 -35 R D 6206 4944 M 0 -35 R D +6296 4944 M 0 -35 R D 6387 4944 M 0 -35 R D 6477 4944 M 0 -35 R D +6567 4944 M 0 -35 R D 6657 4944 M 0 -35 R D 6837 4944 M 0 -35 R D +6927 4944 M 0 -35 R D 7017 4944 M 0 -35 R D 7107 4944 M 0 -35 R D +7197 4944 M 0 -35 R D 2242 1422 M 0 3522 R D 2242 1422 M 99 0 R D +gsave 2130 1422 translate 0 0 M 1.01 dup scale -117.687 0 N +( ) show grestore 2242 1892 M 99 0 R D gsave 2130 1750 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 2361 M 99 0 R D gsave 2130 2219 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 2831 M 99 0 R D gsave 2130 2689 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 3301 M 99 0 R D gsave 2130 3158 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 3770 M 99 0 R D gsave 2130 3628 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 4240 M 99 0 R D gsave 2130 4098 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 4710 M 99 0 R D gsave 2130 4567 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 2242 1540 M 50 0 R D 2242 1657 M 50 0 R D 2242 1774 M +50 0 R D 2242 2009 M 50 0 R D 2242 2127 M 50 0 R D 2242 2244 M 50 0 R D +2242 2479 M 50 0 R D 2242 2596 M 50 0 R D 2242 2714 M 50 0 R D 2242 2948 M +50 0 R D 2242 3066 M 50 0 R D 2242 3183 M 50 0 R D 2242 3418 M 50 0 R D +2242 3536 M 50 0 R D 2242 3653 M 50 0 R D 2242 3888 M 50 0 R D 2242 4005 M +50 0 R D 2242 4123 M 50 0 R D 2242 4357 M 50 0 R D 2242 4475 M 50 0 R D +2242 4592 M 50 0 R D 2242 4827 M 50 0 R D 2242 4944 M 50 0 R D 7197 1422 M +0 3522 R D 7197 1422 M -99 0 R D 7197 1892 M -99 0 R D 7197 2361 M -99 0 R D +7197 2831 M -99 0 R D 7197 3301 M -99 0 R D 7197 3770 M -99 0 R D +7197 4240 M -99 0 R D 7197 4710 M -99 0 R D 7197 1540 M -49 0 R D +7197 1657 M -49 0 R D 7197 1774 M -49 0 R D 7197 2009 M -49 0 R D +7197 2127 M -49 0 R D 7197 2244 M -49 0 R D 7197 2479 M -49 0 R D +7197 2596 M -49 0 R D 7197 2714 M -49 0 R D 7197 2948 M -49 0 R D +7197 3066 M -49 0 R D 7197 3183 M -49 0 R D 7197 3418 M -49 0 R D +7197 3536 M -49 0 R D 7197 3653 M -49 0 R D 7197 3888 M -49 0 R D +7197 4005 M -49 0 R D 7197 4123 M -49 0 R D 7197 4357 M -49 0 R D +7197 4475 M -49 0 R D 7197 4592 M -49 0 R D 7197 4827 M -49 0 R D +7197 4944 M -49 0 R D 20 setlinewidth 1.000 0.000 0.000 setrgbcolor +2242 1422 M 226 0 R 225 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 0 15 R +225 0 R 225 0 R 0 123 R 226 0 R 225 0 R 0 559 R 225 0 R 225 0 R 0 911 R +226 0 R 225 0 R 0 79 R 225 0 R 225 0 R 0 -1142 R 225 0 R 226 0 R 0 -537 R +225 0 R 225 0 R 0 -8 R 225 0 R D 0.000 0.514 1.000 setrgbcolor 2242 1422 M +226 0 R 225 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 225 0 R 225 0 R +226 0 R 225 0 R 0 5 R 225 0 R 225 0 R 0 1171 R 226 0 R 225 0 R 0 1545 R +225 0 R 225 0 R 0 -1964 R 225 0 R 226 0 R 0 -719 R 225 0 R 225 0 R 0 -38 R +225 0 R D 0.000 0.000 0.000 setrgbcolor 2242 1422 M 226 0 R 225 0 R 225 0 R +225 0 R 225 0 R 226 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 225 0 R +225 0 R 226 0 R 225 0 R 225 0 R 225 0 R 0 2890 R 225 0 R 226 0 R 0 -1084 R +225 0 R 225 0 R 0 -1806 R 225 0 R D gsave 2513 4240 translate 0 0 M +1.2 dup scale +(z = 2.0) show grestore 15 setlinewidth 7197 1422 M 4955 0 R D 7197 1422 M +0 71 R D gsave 7197 889 translate 0 0 M 1.01 dup scale -188.172 0 N +(-5) show grestore 8098 1422 M 0 71 R D gsave 8098 889 translate 0 0 M +1.01 dup scale -188.172 0 N +(-4) show grestore 8999 1422 M 0 71 R D gsave 8999 889 translate 0 0 M +1.01 dup scale -188.172 0 N +(-3) show grestore 9900 1422 M 0 71 R D gsave 9900 889 translate 0 0 M +1.01 dup scale -188.172 0 N +(-2) show grestore 10801 1422 M 0 71 R D gsave 10801 889 translate 0 0 M +1.01 dup scale -188.172 0 N +(-1) show grestore 11702 1422 M 0 71 R D gsave 11702 889 translate 0 0 M +1.01 dup scale -117.687 0 N +(0) show grestore 7287 1422 M 0 35 R D 7378 1422 M 0 35 R D 7468 1422 M +0 35 R D 7558 1422 M 0 35 R D 7648 1422 M 0 35 R D 7738 1422 M 0 35 R D +7828 1422 M 0 35 R D 7918 1422 M 0 35 R D 8008 1422 M 0 35 R D 8188 1422 M +0 35 R D 8278 1422 M 0 35 R D 8369 1422 M 0 35 R D 8459 1422 M 0 35 R D +8549 1422 M 0 35 R D 8639 1422 M 0 35 R D 8729 1422 M 0 35 R D 8819 1422 M +0 35 R D 8909 1422 M 0 35 R D 9089 1422 M 0 35 R D 9179 1422 M 0 35 R D +9269 1422 M 0 35 R D 9360 1422 M 0 35 R D 9450 1422 M 0 35 R D 9540 1422 M +0 35 R D 9630 1422 M 0 35 R D 9720 1422 M 0 35 R D 9810 1422 M 0 35 R D +9990 1422 M 0 35 R D 10080 1422 M 0 35 R D 10170 1422 M 0 35 R D +10260 1422 M 0 35 R D 10351 1422 M 0 35 R D 10441 1422 M 0 35 R D +10531 1422 M 0 35 R D 10621 1422 M 0 35 R D 10711 1422 M 0 35 R D +10891 1422 M 0 35 R D 10981 1422 M 0 35 R D 11071 1422 M 0 35 R D +11161 1422 M 0 35 R D 11251 1422 M 0 35 R D 11342 1422 M 0 35 R D +11432 1422 M 0 35 R D 11522 1422 M 0 35 R D 11612 1422 M 0 35 R D +11792 1422 M 0 35 R D 11882 1422 M 0 35 R D 11972 1422 M 0 35 R D +12062 1422 M 0 35 R D 12152 1422 M 0 35 R D 7197 4944 M 4955 0 R D +7197 4944 M 0 -70 R D 8098 4944 M 0 -70 R D 8999 4944 M 0 -70 R D +9900 4944 M 0 -70 R D 10801 4944 M 0 -70 R D 11702 4944 M 0 -70 R D +7287 4944 M 0 -35 R D 7378 4944 M 0 -35 R D 7468 4944 M 0 -35 R D +7558 4944 M 0 -35 R D 7648 4944 M 0 -35 R D 7738 4944 M 0 -35 R D +7828 4944 M 0 -35 R D 7918 4944 M 0 -35 R D 8008 4944 M 0 -35 R D +8188 4944 M 0 -35 R D 8278 4944 M 0 -35 R D 8369 4944 M 0 -35 R D +8459 4944 M 0 -35 R D 8549 4944 M 0 -35 R D 8639 4944 M 0 -35 R D +8729 4944 M 0 -35 R D 8819 4944 M 0 -35 R D 8909 4944 M 0 -35 R D +9089 4944 M 0 -35 R D 9179 4944 M 0 -35 R D 9269 4944 M 0 -35 R D +9360 4944 M 0 -35 R D 9450 4944 M 0 -35 R D 9540 4944 M 0 -35 R D +9630 4944 M 0 -35 R D 9720 4944 M 0 -35 R D 9810 4944 M 0 -35 R D +9990 4944 M 0 -35 R D 10080 4944 M 0 -35 R D 10170 4944 M 0 -35 R D +10260 4944 M 0 -35 R D 10351 4944 M 0 -35 R D 10441 4944 M 0 -35 R D +10531 4944 M 0 -35 R D 10621 4944 M 0 -35 R D 10711 4944 M 0 -35 R D +10891 4944 M 0 -35 R D 10981 4944 M 0 -35 R D 11071 4944 M 0 -35 R D +11161 4944 M 0 -35 R D 11251 4944 M 0 -35 R D 11342 4944 M 0 -35 R D +11432 4944 M 0 -35 R D 11522 4944 M 0 -35 R D 11612 4944 M 0 -35 R D +11792 4944 M 0 -35 R D 11882 4944 M 0 -35 R D 11972 4944 M 0 -35 R D +12062 4944 M 0 -35 R D 12152 4944 M 0 -35 R D 7197 1422 M 0 3522 R D +7197 1422 M 99 0 R D gsave 7085 1422 translate 0 0 M 1.01 dup scale +-117.687 0 N +( ) show grestore 7197 1892 M 99 0 R D gsave 7085 1750 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 2361 M 99 0 R D gsave 7085 2219 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 2831 M 99 0 R D gsave 7085 2689 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 3301 M 99 0 R D gsave 7085 3158 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 3770 M 99 0 R D gsave 7085 3628 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 4240 M 99 0 R D gsave 7085 4098 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 4710 M 99 0 R D gsave 7085 4567 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 7197 1540 M 50 0 R D 7197 1657 M 50 0 R D 7197 1774 M +50 0 R D 7197 2009 M 50 0 R D 7197 2127 M 50 0 R D 7197 2244 M 50 0 R D +7197 2479 M 50 0 R D 7197 2596 M 50 0 R D 7197 2714 M 50 0 R D 7197 2948 M +50 0 R D 7197 3066 M 50 0 R D 7197 3183 M 50 0 R D 7197 3418 M 50 0 R D +7197 3536 M 50 0 R D 7197 3653 M 50 0 R D 7197 3888 M 50 0 R D 7197 4005 M +50 0 R D 7197 4123 M 50 0 R D 7197 4357 M 50 0 R D 7197 4475 M 50 0 R D +7197 4592 M 50 0 R D 7197 4827 M 50 0 R D 7197 4944 M 50 0 R D 12152 1422 M +0 3522 R D 12152 1422 M -99 0 R D 12152 1892 M -99 0 R D 12152 2361 M +-99 0 R D 12152 2831 M -99 0 R D 12152 3301 M -99 0 R D 12152 3770 M -99 0 R +D 12152 4240 M -99 0 R D 12152 4710 M -99 0 R D 12152 1540 M -49 0 R D +12152 1657 M -49 0 R D 12152 1774 M -49 0 R D 12152 2009 M -49 0 R D +12152 2127 M -49 0 R D 12152 2244 M -49 0 R D 12152 2479 M -49 0 R D +12152 2596 M -49 0 R D 12152 2714 M -49 0 R D 12152 2948 M -49 0 R D +12152 3066 M -49 0 R D 12152 3183 M -49 0 R D 12152 3418 M -49 0 R D +12152 3536 M -49 0 R D 12152 3653 M -49 0 R D 12152 3888 M -49 0 R D +12152 4005 M -49 0 R D 12152 4123 M -49 0 R D 12152 4357 M -49 0 R D +12152 4475 M -49 0 R D 12152 4592 M -49 0 R D 12152 4827 M -49 0 R D +12152 4944 M -49 0 R D 20 setlinewidth 1.000 0.000 0.000 setrgbcolor +7197 1434 M 226 0 R 0 29 R 225 0 R 225 0 R 0 74 R 225 0 R 225 0 R 0 411 R +226 0 R 225 0 R 0 205 R 225 0 R 225 0 R 0 191 R 226 0 R 225 0 R 0 51 R +225 0 R 225 0 R 0 -472 R 226 0 R 225 0 R 0 -30 R 225 0 R 225 0 R 0 -161 R +225 0 R 226 0 R 0 -214 R 225 0 R 225 0 R 0 -95 R 225 0 R D +0.000 0.514 1.000 setrgbcolor 7197 1422 M 226 0 R 225 0 R 225 0 R 225 0 R +225 0 R 0 3 R 226 0 R 225 0 R 0 259 R 225 0 R 225 0 R 0 265 R 226 0 R +225 0 R 0 9 R 225 0 R 225 0 R 0 305 R 226 0 R 225 0 R 0 613 R 225 0 R +225 0 R 0 -506 R 225 0 R 226 0 R 0 -821 R 225 0 R 225 0 R 0 -127 R 225 0 R D +0.000 0.000 0.000 setrgbcolor 7197 1422 M 226 0 R 225 0 R 225 0 R 225 0 R +225 0 R 226 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 225 0 R 225 0 R +0 88 R 226 0 R 225 0 R 0 3008 R 225 0 R 225 0 R 0 -1600 R 225 0 R 226 0 R +0 -1479 R 225 0 R 225 0 R 0 -17 R 225 0 R D 15 setlinewidth 12152 1422 M +4955 0 R D 12152 1422 M 0 71 R D gsave 12152 889 translate 0 0 M +1.01 dup scale -188.172 0 N +(-5) show grestore 13053 1422 M 0 71 R D gsave 13053 889 translate 0 0 M +1.01 dup scale -188.172 0 N +(-4) show grestore 13954 1422 M 0 71 R D gsave 13954 889 translate 0 0 M +1.01 dup scale -188.172 0 N +(-3) show grestore 14855 1422 M 0 71 R D gsave 14855 889 translate 0 0 M +1.01 dup scale -188.172 0 N +(-2) show grestore 15756 1422 M 0 71 R D gsave 15756 889 translate 0 0 M +1.01 dup scale -188.172 0 N +(-1) show grestore 16657 1422 M 0 71 R D gsave 16657 889 translate 0 0 M +1.01 dup scale -117.687 0 N +(0) show grestore 12242 1422 M 0 35 R D 12333 1422 M 0 35 R D 12423 1422 M +0 35 R D 12513 1422 M 0 35 R D 12603 1422 M 0 35 R D 12693 1422 M 0 35 R D +12783 1422 M 0 35 R D 12873 1422 M 0 35 R D 12963 1422 M 0 35 R D +13143 1422 M 0 35 R D 13233 1422 M 0 35 R D 13324 1422 M 0 35 R D +13414 1422 M 0 35 R D 13504 1422 M 0 35 R D 13594 1422 M 0 35 R D +13684 1422 M 0 35 R D 13774 1422 M 0 35 R D 13864 1422 M 0 35 R D +14044 1422 M 0 35 R D 14134 1422 M 0 35 R D 14224 1422 M 0 35 R D +14315 1422 M 0 35 R D 14405 1422 M 0 35 R D 14495 1422 M 0 35 R D +14585 1422 M 0 35 R D 14675 1422 M 0 35 R D 14765 1422 M 0 35 R D +14945 1422 M 0 35 R D 15035 1422 M 0 35 R D 15125 1422 M 0 35 R D +15216 1422 M 0 35 R D 15306 1422 M 0 35 R D 15396 1422 M 0 35 R D +15486 1422 M 0 35 R D 15576 1422 M 0 35 R D 15666 1422 M 0 35 R D +15846 1422 M 0 35 R D 15936 1422 M 0 35 R D 16026 1422 M 0 35 R D +16116 1422 M 0 35 R D 16207 1422 M 0 35 R D 16297 1422 M 0 35 R D +16387 1422 M 0 35 R D 16477 1422 M 0 35 R D 16567 1422 M 0 35 R D +16747 1422 M 0 35 R D 16837 1422 M 0 35 R D 16927 1422 M 0 35 R D +17017 1422 M 0 35 R D 17107 1422 M 0 35 R D 12152 4944 M 4955 0 R D +12152 4944 M 0 -70 R D 13053 4944 M 0 -70 R D 13954 4944 M 0 -70 R D +14855 4944 M 0 -70 R D 15756 4944 M 0 -70 R D 16657 4944 M 0 -70 R D +12242 4944 M 0 -35 R D 12333 4944 M 0 -35 R D 12423 4944 M 0 -35 R D +12513 4944 M 0 -35 R D 12603 4944 M 0 -35 R D 12693 4944 M 0 -35 R D +12783 4944 M 0 -35 R D 12873 4944 M 0 -35 R D 12963 4944 M 0 -35 R D +13143 4944 M 0 -35 R D 13233 4944 M 0 -35 R D 13324 4944 M 0 -35 R D +13414 4944 M 0 -35 R D 13504 4944 M 0 -35 R D 13594 4944 M 0 -35 R D +13684 4944 M 0 -35 R D 13774 4944 M 0 -35 R D 13864 4944 M 0 -35 R D +14044 4944 M 0 -35 R D 14134 4944 M 0 -35 R D 14224 4944 M 0 -35 R D +14315 4944 M 0 -35 R D 14405 4944 M 0 -35 R D 14495 4944 M 0 -35 R D +14585 4944 M 0 -35 R D 14675 4944 M 0 -35 R D 14765 4944 M 0 -35 R D +14945 4944 M 0 -35 R D 15035 4944 M 0 -35 R D 15125 4944 M 0 -35 R D +15216 4944 M 0 -35 R D 15306 4944 M 0 -35 R D 15396 4944 M 0 -35 R D +15486 4944 M 0 -35 R D 15576 4944 M 0 -35 R D 15666 4944 M 0 -35 R D +15846 4944 M 0 -35 R D 15936 4944 M 0 -35 R D 16026 4944 M 0 -35 R D +16116 4944 M 0 -35 R D 16207 4944 M 0 -35 R D 16297 4944 M 0 -35 R D +16387 4944 M 0 -35 R D 16477 4944 M 0 -35 R D 16567 4944 M 0 -35 R D +16747 4944 M 0 -35 R D 16837 4944 M 0 -35 R D 16927 4944 M 0 -35 R D +17017 4944 M 0 -35 R D 17107 4944 M 0 -35 R D 12152 1422 M 0 3522 R D +12152 1422 M 99 0 R D gsave 12040 1422 translate 0 0 M 1.01 dup scale +-117.687 0 N +( ) show grestore 12152 1892 M 99 0 R D gsave 12040 1750 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 2361 M 99 0 R D gsave 12040 2219 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 2831 M 99 0 R D gsave 12040 2689 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 3301 M 99 0 R D gsave 12040 3158 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 3770 M 99 0 R D gsave 12040 3628 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 4240 M 99 0 R D gsave 12040 4098 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 4710 M 99 0 R D gsave 12040 4567 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 12152 1540 M 50 0 R D 12152 1657 M 50 0 R D 12152 1774 M +50 0 R D 12152 2009 M 50 0 R D 12152 2127 M 50 0 R D 12152 2244 M 50 0 R D +12152 2479 M 50 0 R D 12152 2596 M 50 0 R D 12152 2714 M 50 0 R D +12152 2948 M 50 0 R D 12152 3066 M 50 0 R D 12152 3183 M 50 0 R D +12152 3418 M 50 0 R D 12152 3536 M 50 0 R D 12152 3653 M 50 0 R D +12152 3888 M 50 0 R D 12152 4005 M 50 0 R D 12152 4123 M 50 0 R D +12152 4357 M 50 0 R D 12152 4475 M 50 0 R D 12152 4592 M 50 0 R D +12152 4827 M 50 0 R D 12152 4944 M 50 0 R D 17107 1422 M 0 3522 R D +17107 1422 M -99 0 R D 17107 1892 M -99 0 R D 17107 2361 M -99 0 R D +17107 2831 M -99 0 R D 17107 3301 M -99 0 R D 17107 3770 M -99 0 R D +17107 4240 M -99 0 R D 17107 4710 M -99 0 R D 17107 1540 M -49 0 R D +17107 1657 M -49 0 R D 17107 1774 M -49 0 R D 17107 2009 M -49 0 R D +17107 2127 M -49 0 R D 17107 2244 M -49 0 R D 17107 2479 M -49 0 R D +17107 2596 M -49 0 R D 17107 2714 M -49 0 R D 17107 2948 M -49 0 R D +17107 3066 M -49 0 R D 17107 3183 M -49 0 R D 17107 3418 M -49 0 R D +17107 3536 M -49 0 R D 17107 3653 M -49 0 R D 17107 3888 M -49 0 R D +17107 4005 M -49 0 R D 17107 4123 M -49 0 R D 17107 4357 M -49 0 R D +17107 4475 M -49 0 R D 17107 4592 M -49 0 R D 17107 4827 M -49 0 R D +17107 4944 M -49 0 R D 20 setlinewidth 1.000 0.000 0.000 setrgbcolor +12152 1430 M 226 0 R 0 17 R 225 0 R 225 0 R 0 39 R 225 0 R 226 0 R 0 315 R +225 0 R 225 0 R 0 393 R 225 0 R 225 0 R 0 127 R 226 0 R 225 0 R 0 107 R +225 0 R 225 0 R 0 -244 R 226 0 R 225 0 R 0 -284 R 225 0 R 225 0 R 0 -244 R +226 0 R 225 0 R 0 -163 R 225 0 R 225 0 R 0 -71 R 225 0 R D +0.000 0.514 1.000 setrgbcolor 12152 1422 M 226 0 R 225 0 R 225 0 R 225 0 R +226 0 R 0 32 R 225 0 R 225 0 R 0 265 R 225 0 R 225 0 R 0 461 R 226 0 R +225 0 R 0 272 R 225 0 R 225 0 R 0 -98 R 226 0 R 225 0 R 0 132 R 225 0 R +225 0 R 0 -547 R 226 0 R 225 0 R 0 -451 R 225 0 R 225 0 R 0 -66 R 225 0 R D +0.000 0.000 0.000 setrgbcolor 12152 1422 M 226 0 R 225 0 R 225 0 R 225 0 R +226 0 R 225 0 R 225 0 R 225 0 R 225 0 R 226 0 R 225 0 R 225 0 R 225 0 R +0 270 R 226 0 R 225 0 R 0 2749 R 225 0 R 225 0 R 0 -1622 R 226 0 R 225 0 R +0 -1386 R 225 0 R 225 0 R 0 -11 R 225 0 R D gsave 4621 365 translate 0 0 M +1.01 dup scale -1596.38 0 N +(log) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(10) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\(12 L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(B) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( / L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(Edd) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\)) show grestore gsave 9675 365 translate 0 0 M 1.01 dup scale +-1683.91 0 N +(log) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(10) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\(52 L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(SX) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( / L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(Edd) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\)) show grestore gsave 14878 365 translate 0 0 M 1.01 dup scale +-1691.13 0 N +(log) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(10) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\(35 L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(HX) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( / L) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(Edd) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\)) show grestore gsave 1499 6706 translate 0 0 M 90 rotate 1.01 dup scale +-2575.77 0 N +(Probability \(Arbitrary Scale\)) show grestore +%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%EOF diff --git a/feedback/papers/0506398/f22.ps b/feedback/papers/0506398/f22.ps new file mode 100644 index 0000000..d79bdea --- /dev/null +++ b/feedback/papers/0506398/f22.ps @@ -0,0 +1,431 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 620 643 +%%Title: Graphics produced by IDL +%%For: phopkins@net-93286, +%% /Users/phopkins/Documents/lars_galaxies/plots/high_z +%%Creator: IDL Student Edition 6.0, Mac OS X (darwin ppc m32) +%%CreationDate: Sun May 15 17:00:20 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2003 Research Systems, Inc. All Rights Reserved. +%v 4 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef end 2.5 setmiterlimit +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 620 643 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 1794 1422 M 8206 0 R D +1794 1422 M 0 165 R D gsave 1794 889 translate 0 0 M 1.01 dup scale +-308.339 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(6) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 3845 1422 M 0 165 R D +gsave 3845 889 translate 0 0 M 1.01 dup scale -308.339 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(7) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 5897 1422 M 0 165 R D +gsave 5897 889 translate 0 0 M 1.01 dup scale -308.339 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(8) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 7949 1422 M 0 165 R D +gsave 7949 889 translate 0 0 M 1.01 dup scale -308.339 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(9) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 10000 1422 M 0 165 R D +gsave 10000 889 translate 0 0 M 1.01 dup scale -381.305 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(10) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 2411 1422 M 0 82 R D 2773 1422 M 0 82 R D +3029 1422 M 0 82 R D 3228 1422 M 0 82 R D 3390 1422 M 0 82 R D 3528 1422 M +0 82 R D 3647 1422 M 0 82 R D 3752 1422 M 0 82 R D 4463 1422 M 0 82 R D +4824 1422 M 0 82 R D 5081 1422 M 0 82 R D 5279 1422 M 0 82 R D 5442 1422 M +0 82 R D 5579 1422 M 0 82 R D 5698 1422 M 0 82 R D 5803 1422 M 0 82 R D +6515 1422 M 0 82 R D 6876 1422 M 0 82 R D 7132 1422 M 0 82 R D 7331 1422 M +0 82 R D 7493 1422 M 0 82 R D 7631 1422 M 0 82 R D 7750 1422 M 0 82 R D +7855 1422 M 0 82 R D 8566 1422 M 0 82 R D 8927 1422 M 0 82 R D 9184 1422 M +0 82 R D 9383 1422 M 0 82 R D 9545 1422 M 0 82 R D 9682 1422 M 0 82 R D +9801 1422 M 0 82 R D 9906 1422 M 0 82 R D gsave 5897 427 translate 0 0 M +1.01 dup scale -2026.61 0 N +(Black Hole Mass [M) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(]) show grestore 1794 9645 M 8206 0 R D 1794 9645 M 0 -165 R D 3845 9645 M +0 -165 R D 5897 9645 M 0 -165 R D 7949 9645 M 0 -165 R D 10000 9645 M +0 -165 R D 2411 9645 M 0 -83 R D 2773 9645 M 0 -83 R D 3029 9645 M 0 -83 R D +3228 9645 M 0 -83 R D 3390 9645 M 0 -83 R D 3528 9645 M 0 -83 R D +3647 9645 M 0 -83 R D 3752 9645 M 0 -83 R D 4463 9645 M 0 -83 R D +4824 9645 M 0 -83 R D 5081 9645 M 0 -83 R D 5279 9645 M 0 -83 R D +5442 9645 M 0 -83 R D 5579 9645 M 0 -83 R D 5698 9645 M 0 -83 R D +5803 9645 M 0 -83 R D 6515 9645 M 0 -83 R D 6876 9645 M 0 -83 R D +7132 9645 M 0 -83 R D 7331 9645 M 0 -83 R D 7493 9645 M 0 -83 R D +7631 9645 M 0 -83 R D 7750 9645 M 0 -83 R D 7855 9645 M 0 -83 R D +8566 9645 M 0 -83 R D 8927 9645 M 0 -83 R D 9184 9645 M 0 -83 R D +9383 9645 M 0 -83 R D 9545 9645 M 0 -83 R D 9682 9645 M 0 -83 R D +9801 9645 M 0 -83 R D 9906 9645 M 0 -83 R D 1794 1422 M 0 8223 R D +1794 2490 M 164 0 R D gsave 1682 2348 translate 0 0 M 1.01 dup scale +-704.08 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-8) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 1794 4626 M 164 0 R D +gsave 1682 4484 translate 0 0 M 1.01 dup scale -704.08 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-6) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 1794 6762 M 164 0 R D +gsave 1682 6620 translate 0 0 M 1.01 dup scale -704.08 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-4) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 1794 8898 M 164 0 R D +gsave 1682 8756 translate 0 0 M 1.01 dup scale -704.08 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-2) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 1794 1422 M 82 0 R D 1794 3558 M 82 0 R D +1794 5694 M 82 0 R D 1794 7830 M 82 0 R D gsave 634 5533 translate 0 0 M +90 rotate 1.01 dup scale -2080.72 0 N +(n\(M\) / dlog\(M\) [Mpc) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-3) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(]) show grestore 10000 1422 M 0 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D gsave 10527 5533 translate 0 0 M 90 rotate +1.01 dup scale -2521.45 0 N +(AGN Relic ) show +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(r) show X -95.92 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(BH) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\(z\) / ) show +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(r) show X -95.92 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(BH) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\(z=0\)) show grestore 19776 1422 M 0 8223 R D 19776 1422 M -164 0 R D +19776 2988 M -164 0 R D 19776 4554 M -164 0 R D 19776 6121 M -164 0 R D +19776 7687 M -164 0 R D 19776 9253 M -164 0 R D 19776 1814 M -82 0 R D +19776 2205 M -82 0 R D 19776 2597 M -82 0 R D 19776 3380 M -82 0 R D +19776 3771 M -82 0 R D 19776 4163 M -82 0 R D 19776 4946 M -82 0 R D +19776 5338 M -82 0 R D 19776 5729 M -82 0 R D 19776 6512 M -82 0 R D +19776 6904 M -82 0 R D 19776 7295 M -82 0 R D 19776 8078 M -82 0 R D +19776 8470 M -82 0 R D 19776 8861 M -82 0 R D 19776 9645 M -82 0 R D +20 setlinewidth 11570 9253 M 164 -91 R 164 -125 R 164 -157 R 164 -191 R +164 -225 R 164 -255 R 165 -284 R 164 -307 R 164 -327 R 164 -342 R 164 -355 R +164 -363 R 164 -368 R 164 -371 R 165 -370 R 164 -368 R 164 -364 R 164 -359 R +164 -353 R 164 -345 R 164 -314 R 164 -263 R 165 -221 R 164 -184 R 164 -155 R +164 -129 R 164 -107 R 164 -90 R 164 -75 R 164 -62 R 165 -52 R 164 -44 R +164 -36 R 164 -29 R 164 -25 R 164 -21 R 164 -17 R 164 -15 R 165 -12 R +164 -10 R 164 -8 R 164 -7 R 164 -6 R 164 -5 R 164 -4 R 164 -3 R 165 -3 R +164 -2 R 164 -2 R 163 -2 R D gsave 12768 8940 translate 0 0 M 1.15 dup scale +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(r) show X -95.92 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(BH) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\(z=0\) = 2.9) show CP X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(+2.3) show M X -101.051 M +(-1.2 ) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( ) show +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(\264) show +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(5) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( M) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( Mpc) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-3) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT L1 11570 9253 M 164 -105 R 164 -140 R 164 -173 R +164 -207 R 164 -241 R 164 -269 R 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+%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%+ font Symbol +%%+ font AvantGarde-Book +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%+ font Symbol +%%+ font AvantGarde-Book +%%EOF diff --git a/feedback/papers/0506398/f23.ps b/feedback/papers/0506398/f23.ps new file mode 100644 index 0000000..8728c2c --- /dev/null +++ b/feedback/papers/0506398/f23.ps @@ -0,0 +1,341 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 620 643 +%%Title: Graphics produced by IDL +%%For: phopkins@net-93286-2, +%% /Users/phopkins/Documents/lars_galaxies/plots/LF_massive +%%Creator: IDL Student Edition 6.0.3, Mac OS X (darwin ppc m32) +%%CreationDate: Sat Aug 20 03:30:45 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2003 Research Systems, Inc. All Rights Reserved. +%v 4 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef end 2.5 setmiterlimit +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 620 643 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 1794 1422 M 8991 0 R D +1794 1422 M 0 157 R D gsave 1794 889 translate 0 0 M 1.01 dup scale +-117.687 0 N +(0) show grestore 4099 1422 M 0 157 R D gsave 4099 889 translate 0 0 M +1.01 dup scale -117.687 0 N +(1) show grestore 6405 1422 M 0 157 R D gsave 6405 889 translate 0 0 M +1.01 dup scale -117.687 0 N +(2) show grestore 8710 1422 M 0 157 R D gsave 8710 889 translate 0 0 M +1.01 dup scale -117.687 0 N +(3) show grestore 2024 1422 M 0 79 R D 2255 1422 M 0 79 R D 2485 1422 M +0 79 R D 2716 1422 M 0 79 R D 2947 1422 M 0 79 R D 3177 1422 M 0 79 R D +3408 1422 M 0 79 R D 3638 1422 M 0 79 R D 3869 1422 M 0 79 R D 4330 1422 M +0 79 R D 4560 1422 M 0 79 R D 4791 1422 M 0 79 R D 5021 1422 M 0 79 R D +5252 1422 M 0 79 R D 5482 1422 M 0 79 R D 5713 1422 M 0 79 R D 5944 1422 M +0 79 R D 6174 1422 M 0 79 R D 6635 1422 M 0 79 R D 6866 1422 M 0 79 R D +7096 1422 M 0 79 R D 7327 1422 M 0 79 R D 7557 1422 M 0 79 R D 7788 1422 M +0 79 R D 8018 1422 M 0 79 R D 8249 1422 M 0 79 R D 8479 1422 M 0 79 R D +8941 1422 M 0 79 R D 9171 1422 M 0 79 R D 9402 1422 M 0 79 R D 9632 1422 M +0 79 R D 9863 1422 M 0 79 R D 10093 1422 M 0 79 R D 10324 1422 M 0 79 R D +10554 1422 M 0 79 R D 10785 1422 M 0 79 R D gsave 6289 427 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 1794 9289 M 8991 0 R D 1794 9289 M 0 -157 R D 4099 9289 M +0 -157 R D 6405 9289 M 0 -157 R D 8710 9289 M 0 -157 R D 2024 9289 M 0 -79 R +D 2255 9289 M 0 -79 R D 2485 9289 M 0 -79 R D 2716 9289 M 0 -79 R D +2947 9289 M 0 -79 R D 3177 9289 M 0 -79 R D 3408 9289 M 0 -79 R D +3638 9289 M 0 -79 R D 3869 9289 M 0 -79 R D 4330 9289 M 0 -79 R D +4560 9289 M 0 -79 R D 4791 9289 M 0 -79 R D 5021 9289 M 0 -79 R D +5252 9289 M 0 -79 R D 5482 9289 M 0 -79 R D 5713 9289 M 0 -79 R D +5944 9289 M 0 -79 R D 6174 9289 M 0 -79 R D 6635 9289 M 0 -79 R D +6866 9289 M 0 -79 R D 7096 9289 M 0 -79 R D 7327 9289 M 0 -79 R D +7557 9289 M 0 -79 R D 7788 9289 M 0 -79 R D 8018 9289 M 0 -79 R D +8249 9289 M 0 -79 R D 8479 9289 M 0 -79 R D 8941 9289 M 0 -79 R D +9171 9289 M 0 -79 R D 9402 9289 M 0 -79 R D 9632 9289 M 0 -79 R D +9863 9289 M 0 -79 R D 10093 9289 M 0 -79 R D 10324 9289 M 0 -79 R D +10554 9289 M 0 -79 R D 10785 9289 M 0 -79 R D 1794 1422 M 0 7867 R D +1794 1573 M 180 0 R D gsave 1682 1431 translate 0 0 M 1.01 dup scale +-588.433 0 N +(0.0) show grestore 1794 3086 M 180 0 R D gsave 1682 2944 translate 0 0 M +1.01 dup scale -588.433 0 N +(0.2) show grestore 1794 4599 M 180 0 R D gsave 1682 4457 translate 0 0 M +1.01 dup scale -588.433 0 N +(0.4) show grestore 1794 6112 M 180 0 R D gsave 1682 5970 translate 0 0 M +1.01 dup scale -588.433 0 N +(0.6) show grestore 1794 7625 M 180 0 R D gsave 1682 7483 translate 0 0 M +1.01 dup scale -588.433 0 N +(0.8) show grestore 1794 9138 M 180 0 R D gsave 1682 8996 translate 0 0 M +1.01 dup scale -588.433 0 N +(1.0) show grestore 1794 1952 M 90 0 R D 1794 2330 M 90 0 R D 1794 2708 M +90 0 R D 1794 3464 M 90 0 R D 1794 3843 M 90 0 R D 1794 4221 M 90 0 R D +1794 4977 M 90 0 R D 1794 5356 M 90 0 R D 1794 5734 M 90 0 R D 1794 6490 M +90 0 R D 1794 6868 M 90 0 R D 1794 7247 M 90 0 R D 1794 8003 M 90 0 R D +1794 8381 M 90 0 R D 1794 8760 M 90 0 R D gsave 751 5356 translate 0 0 M +90 rotate 1.01 dup scale -1734.82 0 N +(n\(M, z\) / n\(M, z=0\)) show grestore 10785 1422 M 0 7867 R D 10785 1573 M +-180 0 R D 10785 3086 M -180 0 R D 10785 4599 M -180 0 R D 10785 6112 M +-180 0 R D 10785 7625 M -180 0 R D 10785 9138 M -180 0 R D 10785 1952 M +-90 0 R D 10785 2330 M -90 0 R D 10785 2708 M -90 0 R D 10785 3464 M -90 0 R +D 10785 3843 M -90 0 R D 10785 4221 M -90 0 R D 10785 4977 M 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230 -7 R 231 -6 R 230 -5 R 231 -4 R 230 -3 R +231 -3 R 230 -2 R 230 -1 R D L2 0.000 1.000 0.580 setrgbcolor 1794 9138 M +230 -111 R 231 -166 R 230 -225 R 231 -279 R 231 -325 R 230 -361 R 231 -386 R +230 -401 R 231 -406 R 230 -406 R 231 -399 R 230 -389 R 231 -375 R 230 -360 R +231 -344 R 230 -328 R 231 -311 R 231 -294 R 230 -279 R 231 -263 R 230 -215 R +231 -174 R 230 -142 R 231 -115 R 230 -94 R 231 -76 R 230 -62 R 231 -51 R +230 -41 R 231 -34 R 231 -28 R 230 -22 R 231 -19 R 230 -15 R 231 -12 R +230 -10 R 231 -8 R 230 -7 R 230 -6 R D L3 1.000 0.780 0.000 setrgbcolor +1794 9138 M 230 -17 R 231 -33 R 230 -58 R 231 -90 R 231 -128 R 230 -168 R +231 -211 R 230 -250 R 231 -287 R 230 -319 R 231 -346 R 230 -368 R 231 -384 R +230 -397 R 231 -405 R 230 -409 R 231 -409 R 231 -408 R 230 -405 R 231 -399 R +230 -337 R 231 -285 R 230 -239 R 231 -201 R 230 -168 R 231 -141 R 230 -117 R +231 -99 R 230 -81 R 231 -69 R 231 -56 R 230 -48 R 231 -39 R 230 -33 R +231 -27 R 230 -23 R 231 -18 R 230 -16 R 230 -13 R D L4 +1.000 0.000 0.000 setrgbcolor 1794 9138 M 230 -2 R 231 -6 R 230 -12 R +231 -23 R 231 -40 R 230 -63 R 231 -92 R 230 -125 R 231 -163 R 230 -201 R +231 -240 R 230 -279 R 231 -316 R 230 -350 R 231 -381 R 230 -409 R 231 -433 R +231 -454 R 230 -470 R 231 -484 R 230 -425 R 231 -373 R 230 -324 R 231 -280 R +230 -242 R 231 -208 R 230 -178 R 231 -152 R 230 -130 R 231 -110 R 231 -94 R +230 -79 R 231 -68 R 230 -57 R 231 -48 R 230 -41 R 231 -34 R 230 -29 R +230 -24 R D L0 0.000 0.000 0.000 setrgbcolor 6443 8364 M 1998 0 R D +gsave 8774 8232 translate 0 0 M 1.1 dup scale +( 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(6) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( M) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show +%%IncludeResource: font Helvetica +186.267 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT L1 0.000 0.082 1.000 setrgbcolor 6443 7836 M +1998 0 R D 0.000 0.000 0.000 setrgbcolor gsave 8774 7704 translate 0 0 M +1.1 dup scale +( 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(7) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( M) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show +%%IncludeResource: font Helvetica +186.267 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT L2 0.000 1.000 0.580 setrgbcolor 6443 7308 M +1998 0 R D 0.000 0.000 0.000 setrgbcolor gsave 8774 7176 translate 0 0 M +1.1 dup scale +( 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(8) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( M) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show +%%IncludeResource: font Helvetica +186.267 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT L3 1.000 0.780 0.000 setrgbcolor 6443 6780 M +1998 0 R D 0.000 0.000 0.000 setrgbcolor gsave 8774 6648 translate 0 0 M +1.1 dup scale +( 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(9) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( M) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show +%%IncludeResource: font Helvetica +186.267 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT L4 1.000 0.000 0.000 setrgbcolor 6443 6252 M +1998 0 R D 0.000 0.000 0.000 setrgbcolor gsave 8774 6120 translate 0 0 M +1.1 dup scale +( 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(10) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( M) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show +%%IncludeResource: font Helvetica +186.267 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT gsave 6405 9516 translate 0 0 M 1.01 dup scale +-1881.93 0 N +(Full Lifetimes Model) show grestore 15 setlinewidth L0 10785 1422 M +8991 0 R D 10785 1422 M 0 157 R D gsave 10785 889 translate 0 0 M +1.01 dup scale -117.687 0 N +(0) show grestore 13090 1422 M 0 157 R D gsave 13090 889 translate 0 0 M +1.01 dup scale -117.687 0 N +(1) show grestore 15396 1422 M 0 157 R D gsave 15396 889 translate 0 0 M +1.01 dup scale -117.687 0 N +(2) show grestore 17701 1422 M 0 157 R D gsave 17701 889 translate 0 0 M +1.01 dup scale -117.687 0 N +(3) show grestore 11015 1422 M 0 79 R D 11246 1422 M 0 79 R D 11476 1422 M +0 79 R D 11707 1422 M 0 79 R D 11938 1422 M 0 79 R D 12168 1422 M 0 79 R D +12399 1422 M 0 79 R D 12629 1422 M 0 79 R D 12860 1422 M 0 79 R D +13321 1422 M 0 79 R D 13551 1422 M 0 79 R D 13782 1422 M 0 79 R D +14012 1422 M 0 79 R D 14243 1422 M 0 79 R D 14473 1422 M 0 79 R D +14704 1422 M 0 79 R D 14935 1422 M 0 79 R D 15165 1422 M 0 79 R D +15626 1422 M 0 79 R D 15857 1422 M 0 79 R D 16087 1422 M 0 79 R D +16318 1422 M 0 79 R D 16548 1422 M 0 79 R D 16779 1422 M 0 79 R D +17009 1422 M 0 79 R D 17240 1422 M 0 79 R D 17470 1422 M 0 79 R D +17932 1422 M 0 79 R D 18162 1422 M 0 79 R D 18393 1422 M 0 79 R D +18623 1422 M 0 79 R D 18854 1422 M 0 79 R D 19084 1422 M 0 79 R D +19315 1422 M 0 79 R D 19545 1422 M 0 79 R D 19776 1422 M 0 79 R D +gsave 15280 427 translate 0 0 M 1.01 dup scale -58.8433 0 N +( ) show grestore 10785 9289 M 8991 0 R D 10785 9289 M 0 -157 R D +13090 9289 M 0 -157 R D 15396 9289 M 0 -157 R D 17701 9289 M 0 -157 R D +11015 9289 M 0 -79 R D 11246 9289 M 0 -79 R D 11476 9289 M 0 -79 R D +11707 9289 M 0 -79 R D 11938 9289 M 0 -79 R D 12168 9289 M 0 -79 R D +12399 9289 M 0 -79 R D 12629 9289 M 0 -79 R D 12860 9289 M 0 -79 R D +13321 9289 M 0 -79 R D 13551 9289 M 0 -79 R D 13782 9289 M 0 -79 R D +14012 9289 M 0 -79 R D 14243 9289 M 0 -79 R D 14473 9289 M 0 -79 R D +14704 9289 M 0 -79 R D 14935 9289 M 0 -79 R D 15165 9289 M 0 -79 R D +15626 9289 M 0 -79 R D 15857 9289 M 0 -79 R D 16087 9289 M 0 -79 R D +16318 9289 M 0 -79 R D 16548 9289 M 0 -79 R D 16779 9289 M 0 -79 R D +17009 9289 M 0 -79 R D 17240 9289 M 0 -79 R D 17470 9289 M 0 -79 R D +17932 9289 M 0 -79 R D 18162 9289 M 0 -79 R D 18393 9289 M 0 -79 R D +18623 9289 M 0 -79 R D 18854 9289 M 0 -79 R D 19084 9289 M 0 -79 R D +19315 9289 M 0 -79 R D 19545 9289 M 0 -79 R D 19776 9289 M 0 -79 R D +10785 1422 M 0 7867 R D 10785 1573 M 180 0 R D +gsave 10673 1431 translate 0 0 M 1.01 dup scale -117.687 0 N +( ) show grestore 10785 3086 M 180 0 R D gsave 10673 2944 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 10785 4599 M 180 0 R D gsave 10673 4457 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 10785 6112 M 180 0 R D gsave 10673 5970 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 10785 7625 M 180 0 R D gsave 10673 7483 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 10785 9138 M 180 0 R D gsave 10673 8996 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 10785 1952 M 90 0 R D 10785 2330 M 90 0 R D 10785 2708 M +90 0 R D 10785 3464 M 90 0 R D 10785 3843 M 90 0 R D 10785 4221 M 90 0 R D +10785 4977 M 90 0 R D 10785 5356 M 90 0 R D 10785 5734 M 90 0 R D +10785 6490 M 90 0 R D 10785 6868 M 90 0 R D 10785 7247 M 90 0 R D +10785 8003 M 90 0 R D 10785 8381 M 90 0 R D 10785 8760 M 90 0 R D +gsave 10218 5356 translate 0 0 M 90 rotate 1.01 dup scale -58.8433 0 N +( ) show grestore 19776 1422 M 0 7867 R D 19776 1573 M -180 0 R D +19776 3086 M -180 0 R D 19776 4599 M -180 0 R D 19776 6112 M -180 0 R D +19776 7625 M -180 0 R D 19776 9138 M -180 0 R D 19776 1952 M -90 0 R D +19776 2330 M -90 0 R D 19776 2708 M -90 0 R D 19776 3464 M -90 0 R D +19776 3843 M -90 0 R D 19776 4221 M -90 0 R D 19776 4977 M -90 0 R D +19776 5356 M -90 0 R D 19776 5734 M -90 0 R D 19776 6490 M -90 0 R D +19776 6868 M -90 0 R D 19776 7247 M -90 0 R D 19776 8003 M -90 0 R D +19776 8381 M -90 0 R D 19776 8760 M -90 0 R D +gsave 10785 363 translate 0 0 M 1.01 dup scale -105.833 0 N +(z) show grestore gsave 15396 9516 translate 0 0 M 1.01 dup scale +-2729.44 0 N +(Light-bulb/Exponential Model) show grestore 40 setlinewidth 10785 9138 M +230 -387 R 231 -487 R 230 -597 R 231 -716 R 231 -844 R 230 -712 R 231 -576 R +230 -470 R 231 -387 R 230 -321 R 231 -269 R 230 -226 R 231 -191 R 230 -163 R +231 -139 R 230 -120 R 231 -104 R 231 -91 R 230 -78 R 231 -70 R 230 -61 R +231 -53 R 230 -48 R 231 -43 R 230 -38 R 231 -33 R 230 -31 R 231 -27 R +230 -25 R 231 -23 R 231 -20 R 230 -18 R 231 -17 R 230 -16 R 231 -14 R +230 -13 R 231 -11 R 230 -11 R 230 -10 R D L1 0.000 0.082 1.000 setrgbcolor +10785 9138 M 230 -164 R 231 -207 R 230 -253 R 231 -304 R 231 -358 R +230 -416 R 231 -476 R 230 -540 R 231 -606 R 230 -570 R 231 -477 R 230 -401 R +231 -339 R 230 -289 R 231 -248 R 230 -213 R 231 -185 R 231 -160 R 230 -140 R +231 -123 R 230 -108 R 231 -96 R 230 -85 R 231 -75 R 230 -67 R 231 -61 R +230 -54 R 231 -48 R 230 -44 R 231 -40 R 231 -36 R 230 -33 R 231 -30 R +230 -27 R 231 -25 R 230 -23 R 231 -21 R 230 -20 R 230 -17 R D L2 +0.000 1.000 0.580 setrgbcolor 10785 9138 M 230 -60 R 231 -76 R 230 -92 R +231 -111 R 231 -131 R 230 -152 R 231 -174 R 230 -197 R 231 -222 R 230 -246 R +231 -272 R 230 -299 R 231 -327 R 230 -355 R 231 -384 R 230 -414 R 231 -439 R +231 -382 R 230 -333 R 231 -292 R 230 -258 R 231 -227 R 230 -202 R 231 -179 R +230 -160 R 231 -144 R 230 -128 R 231 -116 R 230 -105 R 231 -95 R 231 -86 R +230 -78 R 231 -71 R 230 -65 R 231 -59 R 230 -55 R 231 -50 R 230 -46 R +230 -42 R D L3 1.000 0.780 0.000 setrgbcolor 10785 9138 M 230 -49 R +231 -61 R 230 -74 R 231 -90 R 231 -106 R 230 -123 R 231 -140 R 230 -159 R +231 -179 R 230 -199 R 231 -220 R 230 -242 R 231 -263 R 230 -287 R 231 -310 R +230 -335 R 231 -359 R 231 -385 R 230 -411 R 231 -360 R 230 -317 R 231 -281 R +230 -248 R 231 -221 R 230 -198 R 231 -176 R 230 -159 R 231 -143 R 230 -129 R +231 -117 R 231 -106 R 230 -96 R 231 -88 R 230 -80 R 231 -73 R 230 -67 R +231 -62 R 230 -56 R 230 -53 R D L4 1.000 0.000 0.000 setrgbcolor +10785 9138 M 230 -49 R 231 -61 R 230 -74 R 231 -90 R 231 -106 R 230 -123 R +231 -140 R 230 -159 R 231 -179 R 230 -199 R 231 -220 R 230 -242 R 231 -263 R +230 -287 R 231 -310 R 230 -335 R 231 -359 R 231 -385 R 230 -411 R 231 -360 R +230 -317 R 231 -281 R 230 -248 R 231 -221 R 230 -198 R 231 -176 R 230 -159 R +231 -143 R 230 -129 R 231 -117 R 231 -106 R 230 -96 R 231 -88 R 230 -80 R +231 -73 R 230 -67 R 231 -62 R 230 -56 R 230 -53 R D +%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%+ font AvantGarde-Book +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%+ font AvantGarde-Book +%%EOF diff --git a/feedback/papers/0506398/f24.ps b/feedback/papers/0506398/f24.ps new file mode 100644 index 0000000..0cfa667 --- /dev/null +++ b/feedback/papers/0506398/f24.ps @@ -0,0 +1,3113 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 734 700 +%%Title: Graphics produced by IDL +%%For: phopkins@net-93286, +%% /Users/phopkins/Documents/lars_galaxies/plots/high_z +%%Creator: IDL Student Edition 6.0, Mac OS X (darwin ppc m32) +%%CreationDate: Tue Apr 12 00:34:28 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2003 Research Systems, Inc. All Rights Reserved. +%v 4 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef end 2.5 setmiterlimit +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 734 700 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 1794 1422 M 9758 0 R D +1794 1422 M 0 205 R D gsave 1794 889 translate 0 0 M 1.01 dup scale +-235.373 0 N +(14) show grestore 3188 1422 M 0 205 R D gsave 3188 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(15) show grestore 4582 1422 M 0 205 R D gsave 4582 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(16) show grestore 5976 1422 M 0 205 R D gsave 5976 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(17) show grestore 7370 1422 M 0 205 R D gsave 7370 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(18) show grestore 8764 1422 M 0 205 R D gsave 8764 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(19) show grestore 10158 1422 M 0 205 R D gsave 10158 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(20) show grestore 11552 1422 M 0 205 R D gsave 11552 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(21) show grestore 1933 1422 M 0 102 R D 2073 1422 M 0 102 R D 2212 1422 M +0 102 R D 2351 1422 M 0 102 R D 2491 1422 M 0 102 R D 2630 1422 M 0 102 R D +2770 1422 M 0 102 R D 2909 1422 M 0 102 R D 3048 1422 M 0 102 R D +3327 1422 M 0 102 R D 3467 1422 M 0 102 R D 3606 1422 M 0 102 R D +3745 1422 M 0 102 R D 3885 1422 M 0 102 R D 4024 1422 M 0 102 R D +4164 1422 M 0 102 R D 4303 1422 M 0 102 R D 4442 1422 M 0 102 R D +4721 1422 M 0 102 R D 4861 1422 M 0 102 R D 5000 1422 M 0 102 R D +5139 1422 M 0 102 R D 5279 1422 M 0 102 R D 5418 1422 M 0 102 R D +5558 1422 M 0 102 R D 5697 1422 M 0 102 R D 5836 1422 M 0 102 R D +6115 1422 M 0 102 R D 6255 1422 M 0 102 R D 6394 1422 M 0 102 R D +6533 1422 M 0 102 R D 6673 1422 M 0 102 R D 6812 1422 M 0 102 R D +6952 1422 M 0 102 R D 7091 1422 M 0 102 R D 7230 1422 M 0 102 R D +7509 1422 M 0 102 R D 7649 1422 M 0 102 R D 7788 1422 M 0 102 R D +7927 1422 M 0 102 R D 8067 1422 M 0 102 R D 8206 1422 M 0 102 R D +8346 1422 M 0 102 R D 8485 1422 M 0 102 R D 8624 1422 M 0 102 R D +8903 1422 M 0 102 R D 9043 1422 M 0 102 R D 9182 1422 M 0 102 R D +9321 1422 M 0 102 R D 9461 1422 M 0 102 R D 9600 1422 M 0 102 R D +9740 1422 M 0 102 R D 9879 1422 M 0 102 R D 10018 1422 M 0 102 R D +10297 1422 M 0 102 R D 10437 1422 M 0 102 R D 10576 1422 M 0 102 R D +10715 1422 M 0 102 R D 10855 1422 M 0 102 R D 10994 1422 M 0 102 R D +11133 1422 M 0 102 R D 11273 1422 M 0 102 R D 11412 1422 M 0 102 R D +gsave 6673 427 translate 0 0 M 1.01 dup scale -1929.13 0 N +(Log\(Frequency\) [Hz]) show grestore 1794 11645 M 9758 0 R D 1794 11645 M +0 -205 R D 3188 11645 M 0 -205 R D 4582 11645 M 0 -205 R D 5976 11645 M +0 -205 R D 7370 11645 M 0 -205 R D 8764 11645 M 0 -205 R D 10158 11645 M +0 -205 R D 11552 11645 M 0 -205 R D 1933 11645 M 0 -103 R D 2073 11645 M +0 -103 R D 2212 11645 M 0 -103 R D 2351 11645 M 0 -103 R D 2491 11645 M +0 -103 R D 2630 11645 M 0 -103 R D 2770 11645 M 0 -103 R D 2909 11645 M +0 -103 R D 3048 11645 M 0 -103 R D 3327 11645 M 0 -103 R D 3467 11645 M +0 -103 R D 3606 11645 M 0 -103 R D 3745 11645 M 0 -103 R D 3885 11645 M +0 -103 R D 4024 11645 M 0 -103 R D 4164 11645 M 0 -103 R D 4303 11645 M +0 -103 R D 4442 11645 M 0 -103 R D 4721 11645 M 0 -103 R D 4861 11645 M +0 -103 R D 5000 11645 M 0 -103 R D 5139 11645 M 0 -103 R D 5279 11645 M +0 -103 R D 5418 11645 M 0 -103 R D 5558 11645 M 0 -103 R D 5697 11645 M +0 -103 R D 5836 11645 M 0 -103 R D 6115 11645 M 0 -103 R D 6255 11645 M +0 -103 R D 6394 11645 M 0 -103 R D 6533 11645 M 0 -103 R D 6673 11645 M +0 -103 R D 6812 11645 M 0 -103 R D 6952 11645 M 0 -103 R D 7091 11645 M +0 -103 R D 7230 11645 M 0 -103 R D 7509 11645 M 0 -103 R D 7649 11645 M +0 -103 R D 7788 11645 M 0 -103 R D 7927 11645 M 0 -103 R D 8067 11645 M +0 -103 R D 8206 11645 M 0 -103 R D 8346 11645 M 0 -103 R D 8485 11645 M +0 -103 R D 8624 11645 M 0 -103 R D 8903 11645 M 0 -103 R D 9043 11645 M +0 -103 R D 9182 11645 M 0 -103 R D 9321 11645 M 0 -103 R D 9461 11645 M +0 -103 R D 9600 11645 M 0 -103 R D 9740 11645 M 0 -103 R D 9879 11645 M +0 -103 R D 10018 11645 M 0 -103 R D 10297 11645 M 0 -103 R D 10437 11645 M +0 -103 R D 10576 11645 M 0 -103 R D 10715 11645 M 0 -103 R D 10855 11645 M +0 -103 R D 10994 11645 M 0 -103 R D 11133 11645 M 0 -103 R D 11273 11645 M +0 -103 R D 11412 11645 M 0 -103 R D 1794 1422 M 0 10223 R D 1794 1422 M +195 0 R D gsave 1682 1422 translate 0 0 M 1.01 dup scale -704.08 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-4) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 1794 2882 M 195 0 R D +gsave 1682 2740 translate 0 0 M 1.01 dup scale -704.08 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-3) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 1794 4343 M 195 0 R D +gsave 1682 4201 translate 0 0 M 1.01 dup scale -704.08 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-2) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 1794 5803 M 195 0 R D +gsave 1682 5661 translate 0 0 M 1.01 dup scale -704.08 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-1) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 1794 7264 M 195 0 R D +gsave 1682 7121 translate 0 0 M 1.01 dup scale -616.678 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(0) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 1794 8724 M 195 0 R D +gsave 1682 8582 translate 0 0 M 1.01 dup scale -616.678 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(1) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 1794 10184 M 195 0 R D +gsave 1682 10042 translate 0 0 M 1.01 dup scale -616.678 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(2) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 1794 11645 M 195 0 R D +gsave 1682 11396 translate 0 0 M 1.01 dup scale -616.678 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(3) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT gsave 634 6533 translate 0 0 M 90 rotate +1.01 dup scale -2333.42 0 N +(Integrated ) show +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(n) show +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(E) show X -101.051 M +%%IncludeResource: font Symbol +262.467 /Symbol STDFONT +(n) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( [10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(60) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( ergs]) show grestore 11552 1422 M 0 10223 R D 11552 1422 M -195 0 R D +11552 2882 M -195 0 R D 11552 4343 M -195 0 R D 11552 5803 M -195 0 R D +11552 7264 M -195 0 R D 11552 8724 M -195 0 R D 11552 10184 M -195 0 R D +11552 11645 M -195 0 R D 40 setlinewidth 1794 3575 M 97 307 R 98 307 R +98 306 R 97 307 R 98 307 R 97 306 R 98 261 R 98 57 R 97 57 R 98 58 R 97 57 R +98 57 R 97 57 R 98 58 R 98 57 R 97 57 R 98 57 R 97 57 R 98 58 R 97 77 R +98 -78 R 98 -77 R 97 -78 R 98 -78 R 97 -77 R 98 -49 R 97 -29 R 98 -30 R +98 -29 R 97 -29 R 98 -29 R 97 -28 R 98 -29 R 98 -28 R 97 -28 R 98 -28 R +97 -28 R 98 -28 R 97 -27 R 98 -28 R 98 -27 R 97 -27 R 98 -26 R 97 -27 R +98 -26 R 97 -26 R 98 -26 R 98 -26 R 97 -2 R 98 10 R 97 11 R 98 11 R 98 11 R +97 12 R 98 13 R 97 15 R 98 17 R 97 21 R 98 26 R 98 32 R 97 -3 R 98 31 R +97 42 R 98 59 R 97 71 R 98 83 R 98 75 R 97 53 R 98 33 R 97 16 R 98 5 R +97 -6 R 98 -13 R 98 -19 R 97 -24 R 98 -29 R 97 -33 R 98 -39 R 98 -47 R +97 -56 R 98 -68 R 97 -82 R 98 -80 R 97 -78 R 98 -83 R 98 -92 R 97 -104 R +98 -118 R 97 -137 R 98 -157 R 97 -183 R 98 -212 R 98 -249 R 97 -292 R +98 -343 R 97 -405 R 98 -475 R 98 -562 R 92 -628 R D 20 setlinewidth +1794 3531 M 97 292 R 98 286 R 98 279 R 97 270 R 98 259 R 97 246 R 98 185 R +98 -33 R 97 -48 R 98 -61 R 97 -68 R 98 -72 R 97 -74 R 98 -76 R 98 -88 R +97 -127 R 98 -99 R 97 -145 R 98 -172 R 97 -136 R 98 -236 R 21 -2491 R D +5520 1422 M 79 320 R 98 483 R 98 339 R 97 463 R 98 406 R 97 429 R 98 -77 R +97 367 R 98 239 R 98 163 R 97 239 R 98 169 R 97 152 R 98 111 R 98 67 R +97 55 R 98 49 R 97 37 R 98 34 R 97 31 R 98 32 R 98 35 R 97 -4 R 98 33 R +97 44 R 98 60 R 97 71 R 98 84 R 98 75 R 97 54 R 98 33 R 97 16 R 98 4 R +97 -5 R 98 -13 R 98 -19 R 97 -24 R 98 -28 R 97 -34 R 98 -39 R 98 -47 R +97 -56 R 98 -68 R 97 -82 R 98 -80 R 97 -78 R 98 -83 R 98 -92 R 97 -104 R +98 -118 R 97 -137 R 98 -157 R 97 -183 R 98 -212 R 98 -249 R 97 -292 R +98 -343 R 97 -405 R 98 -475 R 98 -562 R 92 -628 R D 10 setlinewidth L2 +1794 3708 M 97 307 R 98 307 R 98 306 R 97 307 R 98 307 R 97 306 R 98 261 R +98 57 R 97 57 R 98 58 R 97 57 R 98 57 R 97 57 R 98 58 R 98 57 R 97 57 R +98 57 R 97 58 R 98 57 R 97 77 R 98 -78 R 98 -77 R 97 -78 R 98 -78 R 97 -77 R +98 -64 R 97 -55 R 98 -55 R 98 -55 R 97 -55 R 98 -55 R 97 -55 R 98 -55 R +98 -54 R 97 -55 R 98 -55 R 97 -55 R 98 -55 R 97 -55 R 98 -55 R 98 -55 R +97 -55 R 98 -55 R 97 -54 R 98 -55 R 97 -55 R 98 -55 R 98 -55 R 97 -12 R +98 10 R 97 11 R 98 11 R 98 11 R 97 12 R 98 13 R 97 15 R 98 17 R 97 21 R +98 26 R 98 32 R 97 -3 R 98 31 R 97 42 R 98 59 R 97 71 R 98 83 R 98 75 R +97 53 R 98 33 R 97 16 R 98 4 R 97 -5 R 98 -13 R 98 -20 R 97 -23 R 98 -29 R +97 -33 R 98 -39 R 98 -47 R 97 -56 R 98 -68 R 97 -82 R 98 -81 R 97 -77 R +98 -83 R 98 -92 R 97 -104 R 98 -118 R 97 -137 R 98 -157 R 97 -183 R +98 -212 R 98 -249 R 97 -292 R 98 -343 R 97 -405 R 98 -476 R 98 -561 R +20 -137 R D 20 setlinewidth L3 1793 3812 M 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R +2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R +2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R +2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R +2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R +2 5 R 2 6 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R +2 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R +1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R +1 6 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R +1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R +1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 2 5 R 1 5 R 2 6 R +2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R +2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R +2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R +2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R +2 5 R 1 6 R 2 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R +2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R +2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R +2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R +2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R +1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R +1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R +1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R +1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R +1 5 R 2 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R +2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R +2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R +2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R +2 5 R 1 6 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 2 5 R 1 5 R +2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R +2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R +2 6 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R +2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R +2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 2 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R D 3047 6250 M 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R +1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 2 R 1 1 R 2 2 R 2 2 R 1 2 R 2 2 R 2 1 R +1 2 R 2 2 R 2 2 R 1 1 R 2 2 R 2 2 R 1 2 R 2 1 R 2 2 R 1 2 R 2 2 R 2 1 R +1 2 R 2 2 R 2 2 R 2 1 R 1 2 R 2 2 R 2 2 R 1 1 R 2 2 R 2 2 R 1 2 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 0 R 1 -1 R 2 0 R D 4302 6250 M 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R D 5556 5802 M 2 0 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R +1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R +2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R D 6811 5516 M 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R +2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 1 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 1 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 0 R +1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R +1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R +1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R +1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 2 1 R 1 0 R 2 1 R +2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R +2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R +2 1 R 1 0 R 2 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 0 R 2 0 R 1 1 R 2 0 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R +2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R +2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R +2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R +1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R +1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R +1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R +1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 2 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 2 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R D 8066 5816 M 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 1 R +2 2 R 1 1 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R +2 1 R 1 1 R 2 2 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R +2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R +2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R +2 2 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 2 R +2 1 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 1 R 2 2 R +1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R +1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R +1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R +1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R +1 2 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 2 1 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 2 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R +2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R +2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R +2 0 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R +2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R +2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R +1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R +1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R +1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R +2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R +2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R +2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R +2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R +2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 -1 R +2 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 -1 R +1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R +1 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R +1 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R +1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 2 0 R 1 0 R 2 -1 R +2 0 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R +2 -1 R 1 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R +2 -1 R 1 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 0 R 2 -1 R +2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R +2 -1 R 1 0 R 2 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R +2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R +2 0 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 0 R +2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 -1 R 2 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R D +9320 6006 M 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 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6 R 1 5 R 2 5 R 2 6 R +1 5 R 2 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 2 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R D +3047 7249 M 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 2 R 1 2 R 2 2 R 2 1 R 1 2 R 2 2 R 2 2 R 1 1 R +2 2 R 2 2 R 1 2 R 2 1 R 2 2 R 1 2 R 2 2 R 2 1 R 1 2 R 2 2 R 2 2 R 1 1 R +2 2 R 2 2 R 2 2 R 1 1 R 2 2 R 2 2 R 1 2 R 2 1 R 2 2 R 1 2 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 0 R 2 -1 R D 4302 7244 M 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R +1 -1 R 2 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R D 5556 6618 M 2 -1 R 2 0 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 2 0 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 2 -1 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 2 0 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 0 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 2 0 R +1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R D 6811 6197 M 2 0 R 1 0 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R +2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R +2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R +2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R +2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R +2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R +2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R +1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R +1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R +1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R +1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R +1 1 R 2 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R +1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R +1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 2 0 R 1 1 R 2 0 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R +2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R +2 1 R 1 0 R 2 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R +2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 0 R +2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R +1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 2 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R D 8066 6496 M 1 2 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 2 R 2 1 R 2 1 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R +1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R +1 2 R 2 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R +2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R +2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R +2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R +2 2 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 2 R 2 1 R 1 2 R +2 1 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 2 R +2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R +2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 1 1 R +2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 1 R 2 2 R 1 1 R +2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 1 R 2 1 R +1 2 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R +2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R +2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R +2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R +2 0 R 1 1 R 2 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R +2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R +2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 -1 R 2 1 R +2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R +2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 -1 R 1 0 R +2 0 R 2 0 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 -1 R +2 0 R 2 0 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R +2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 -1 R 2 0 R 1 0 R 2 0 R 2 0 R +1 -1 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R +1 -1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 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0 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R D +9320 6687 M 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 2 -1 R 1 -1 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5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R +2 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R +1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R +1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R +1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 6 R +1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R +2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R +2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 6 R 2 5 R +2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R +2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R +2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R +2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R +2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R +2 5 R 2 6 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R +2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R +1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R +1 6 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R +1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R +1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R +1 5 R 2 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R D +3047 8707 M 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 2 R 2 2 R 2 2 R 1 1 R 2 2 R 2 2 R 1 2 R +2 1 R 2 2 R 1 2 R 2 2 R 2 1 R 1 2 R 2 2 R 2 2 R 1 1 R 2 2 R 2 2 R 1 2 R +2 1 R 2 2 R 2 2 R 1 2 R 2 1 R 2 2 R 1 2 R 2 2 R 2 1 R 1 2 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -1 R D 4302 8696 M 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R D 5556 7821 M 2 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R +2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R D 6811 7210 M 2 0 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R +2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R +2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R +2 0 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R +2 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R +1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R +1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R +1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R +1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 2 1 R 1 0 R 2 1 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R +2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R +2 1 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R +2 0 R 1 1 R 2 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R +2 0 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 0 R 2 1 R 1 0 R 2 1 R +2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R +2 0 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 2 0 R 1 1 R +2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R +2 0 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R +2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R +2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R +2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R +1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R +1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R +1 0 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R +1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 2 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R D 8066 7509 M 1 2 R 2 1 R 2 1 R 1 1 R 2 1 R +2 2 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 1 R 1 2 R 2 1 R +2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 1 R 1 2 R 2 1 R +2 1 R 1 2 R 2 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R +2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 2 R +2 1 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 2 R +2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R +2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 2 R 2 1 R +1 2 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 1 R +1 2 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R +1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R +1 2 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 1 R 2 2 R +1 1 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 1 1 R 2 1 R +2 2 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R +2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R +2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R +1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R +1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R +1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R +2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R +2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R +2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 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2 5 R 1 6 R 2 5 R 2 5 R +1 5 R 2 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R +2 5 R 1 6 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R +2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R +2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 6 R +2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 2 5 R 1 6 R +2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R +2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 6 R 1 5 R +2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R +2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R +2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R +1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R +1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R +1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R +1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 2 5 R 1 5 R 2 5 R +2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R +2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R +2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R +2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R +2 5 R 1 5 R 2 5 R 2 6 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R +2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R +2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R +2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R +2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 2 5 R +1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R +1 5 R 2 6 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R +1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R +1 6 R 2 5 R 2 5 R 1 5 R 2 6 R 2 5 R 1 5 R 2 5 R 2 6 R 1 5 R 2 5 R 2 5 R +1 6 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 2 5 R 1 6 R 2 5 R 2 5 R 1 2 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R D 3047 9244 M 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 2 R 1 2 R 2 1 R 2 2 R 1 2 R 2 2 R +2 1 R 1 2 R 2 2 R 2 2 R 1 1 R 2 2 R 2 2 R 1 2 R 2 1 R 2 2 R 1 2 R 2 2 R +2 1 R 1 2 R 2 2 R 2 2 R 2 1 R 1 2 R 2 2 R 2 2 R 1 1 R 2 2 R 2 2 R 1 2 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R D 4302 9231 M 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R D 5556 8267 M 2 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R +2 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R +1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R +2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R D 6811 7586 M 2 1 R +1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 2 0 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R +1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R +2 0 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R +2 0 R 1 0 R 2 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R +2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R +2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R +2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 2 1 R +1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R +1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R +1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R +1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R +1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R +2 0 R 1 1 R 2 0 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 0 R 2 0 R +1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R +1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R +2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R +2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R +2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R +2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 0 R 2 2 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 2 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R D 8066 7886 M 1 1 R 2 2 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R +1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R +1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R +2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 2 R +2 1 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 2 R +2 1 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 2 R +2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R +2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R +2 2 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R +2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R +2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 1 R 2 2 R 1 1 R +2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 2 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 2 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R +1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R +2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R +2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R +2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R +2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R +1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 0 R 1 0 R 2 0 R 2 -1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R +2 0 R 2 0 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R +2 -1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R +2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 -1 R +2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 2 0 R +1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 -1 R +1 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R 2 -1 R +1 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R +1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R +1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R +2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R +2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R +2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R +2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R +2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 0 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 0 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 0 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R +2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 0 R +1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 -1 R D +9320 8076 M 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 0 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R +1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R +1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R +2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R +2 -1 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R +2 -2 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -2 R +2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -1 R +1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R +2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R +2 -2 R 2 -2 R 2 -3 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R +2 -3 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R +2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -3 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R +1 -2 R 2 -2 R 2 -2 R 1 -3 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -3 R 2 -2 R +2 -2 R 1 -2 R 2 -2 R 2 -3 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -3 R 2 -2 R 1 -2 R +2 -3 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -3 R 1 -2 R 2 -2 R 2 -3 R 1 -2 R 2 -2 R +2 -2 R 1 -3 R 2 -2 R 2 -2 R 1 -3 R 2 -2 R 2 -2 R 1 -3 R 2 -2 R 2 -2 R 1 -3 R +2 -2 R 2 -2 R 1 -3 R 2 -2 R 2 -3 R 1 -2 R 2 -3 R 2 -2 R 1 -2 R 2 -3 R 2 -2 R +1 -3 R 2 -2 R 2 -3 R 1 -2 R 2 -3 R 2 -2 R 1 -2 R 2 -3 R 2 -2 R 1 -3 R 2 -2 R +2 -3 R 1 -3 R 2 -2 R 2 -2 R 1 -3 R 2 -2 R 2 -3 R 1 -2 R 2 -3 R 2 -3 R 1 -2 R +2 -3 R 2 -2 R 2 -3 R 1 -2 R 2 -3 R 2 -3 R 1 -2 R 2 -3 R 2 -3 R 1 -2 R 2 -3 R +2 -2 R 1 -3 R 2 -3 R 2 -2 R 1 -3 R 2 -3 R 2 -3 R 1 -2 R 2 -3 R 2 -2 R 1 -3 R 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1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 2 R 1 2 R 2 1 R 2 2 R 1 2 R 2 2 R 2 1 R 1 2 R +2 2 R 2 2 R 1 1 R 2 2 R 2 2 R 1 2 R 2 1 R 2 2 R 1 2 R 2 2 R 2 1 R 1 2 R +2 2 R 2 2 R 2 1 R 1 2 R 2 2 R 2 2 R 1 1 R 2 2 R 2 2 R 1 2 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -2 R 2 -2 R D 4302 10464 M 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R D 5556 9294 M 2 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R +1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R +1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R +1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R +2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R +1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R D 6811 8458 M 2 0 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R +1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R +2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R +2 0 R 1 0 R 2 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 2 0 R +1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R +1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R +1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 1 R +1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 0 R +1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R +1 1 R 2 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R +2 0 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R +2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R +2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R +2 0 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 2 0 R 1 1 R +2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R +2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R +2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R +1 0 R 2 0 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R +2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 2 0 R +1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R +1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R +1 0 R 2 0 R 2 1 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R +1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R +1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 1 R 2 0 R +2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R +2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R +2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R +2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 1 R 2 1 R +1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 2 R D 8066 8758 M 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 2 R 1 1 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 1 R 2 1 R 1 2 R +2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R +2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R +1 1 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 1 R +1 2 R 2 1 R 2 2 R 1 1 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R +1 2 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 2 R +1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R +2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 2 R 2 1 R +2 1 R 1 2 R 2 1 R 2 2 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R +2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R +2 1 R 1 2 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 1 1 R 2 2 R 2 1 R 1 1 R 2 2 R +2 1 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 1 R 2 1 R 1 2 R 2 1 R 2 1 R 1 1 R +2 1 R 2 2 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 2 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R +2 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 1 R +1 0 R 2 1 R 2 1 R 1 1 R 2 0 R 2 1 R 1 1 R 2 1 R 2 0 R 1 1 R 2 1 R 2 1 R +1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 1 R +1 0 R 2 1 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R +1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R +2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R +2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 1 R 2 0 R 1 0 R 2 1 R 2 0 R 1 1 R 2 0 R +2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R 2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R +2 1 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 1 R 2 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R +2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 1 R 1 0 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R +2 1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 1 R 2 0 R 2 0 R 1 0 R +2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R +1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 1 R 2 0 R +1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R +1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R +1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R +1 0 R 2 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 0 R +2 0 R 1 -1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R +2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 0 R 2 0 R +2 -1 R 1 0 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R 2 0 R 2 -1 R 1 0 R +2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R 1 -1 R +2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 0 R 1 -1 R +2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R +2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R +2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R +1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R +1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R +1 0 R 2 -1 R 2 0 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 0 R +1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R +2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 0 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 0 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R +2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R +1 0 R 2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 0 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R D 9320 8948 M 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R +1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R +2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R +2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 0 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R +2 0 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 0 R 2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 -1 R 2 0 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 0 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 0 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 0 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 0 R +2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R +2 -1 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R +2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R +2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R +2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R +1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -1 R +2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -2 R 2 -1 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 2 -1 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R +1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R +2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R +2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R +1 -2 R 2 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R +2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -1 R +1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -1 R +2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R +2 -1 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -2 R +1 -1 R 2 -2 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R +2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R +1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -2 R 1 -1 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R +2 -2 R 1 -2 R 2 -2 R 2 -1 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R +2 -2 R 2 -2 R 1 -2 R 2 -1 R 2 -2 R 1 -3 R 2 -1 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R +1 -2 R 2 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R +2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -3 R 2 -2 R +1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -2 R 2 -3 R 1 -2 R 2 -2 R +2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -3 R 2 -2 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R +2 -2 R 2 -3 R 1 -2 R 2 -2 R 2 -2 R 1 -2 R 2 -3 R 2 -2 R 1 -2 R 2 -2 R 2 -3 R +1 -2 R 2 -2 R 2 -2 R 2 -3 R 1 -2 R 2 -2 R 2 -2 R 1 -3 R 2 -2 R 2 -2 R 1 -3 R +2 -2 R 2 -2 R 1 -2 R 2 -3 R 2 -2 R 1 -2 R 2 -3 R 2 -2 R 1 -3 R 2 -2 R 2 -2 R +1 -2 R 2 -3 R 2 -2 R 1 -3 R 2 -2 R 2 -2 R 1 -3 R 2 -2 R 2 -3 R 1 -2 R 2 -2 R +2 -3 R 1 -2 R 2 -3 R 2 -2 R 1 -3 R 2 -2 R 2 -3 R 1 -2 R 2 -2 R 2 -3 R 1 -2 R +2 -3 R 2 -3 R 1 -2 R 2 -3 R 2 -2 R 1 -2 R 2 -3 R 2 -3 R 1 -2 R 2 -3 R 2 -2 R +1 -3 R 2 -2 R 2 -3 R 2 -2 R 1 -3 R 2 -3 R 2 -2 R 1 -3 R 2 -3 R 2 -2 R 1 -3 R +2 -2 R 2 -3 R 1 -3 R 2 -2 R 2 -3 R 1 -3 R 2 -3 R 2 -2 R 1 -3 R 2 -2 R 2 -3 R +1 -3 R 2 -3 R 2 -2 R 1 -3 R 2 -3 R 2 -3 R 1 -2 R 2 -3 R 2 -3 R 1 -2 R 2 -3 R +2 -3 R 1 -3 R 2 -3 R 2 -3 R 1 -2 R 2 -3 R 2 -3 R 1 -3 R 2 -3 R 2 -3 R 1 -3 R +2 -3 R 2 -2 R 1 -3 R 2 -3 R 2 -3 R D 10575 7813 M 1 -3 R 2 -3 R 2 -3 R +1 -3 R 2 -3 R 2 -2 R 1 -3 R 2 -3 R 2 -3 R 2 -3 R 1 -3 R 2 -3 R 2 -3 R 1 -3 R +2 -3 R 2 -3 R 1 -3 R 2 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R +2 -9 R 1 -9 R 2 -9 R 2 -10 R 1 -10 R 2 -10 R 2 -10 R 2 -11 R 1 -10 R 2 -9 R +2 -9 R 1 -10 R 2 -10 R 2 -10 R 1 -10 R 2 -11 R 2 -11 R 1 -10 R 2 -9 R +2 -10 R 1 -10 R 2 -10 R 2 -10 R 1 -11 R 2 -11 R 2 -11 R 1 -10 R 2 -10 R +2 -10 R 1 -10 R 2 -10 R 2 -11 R 1 -11 R 2 -11 R 2 -12 R 1 -10 R 2 -10 R +2 -10 R 1 -10 R 2 -11 R 2 -11 R 1 -12 R 2 -11 R 2 -12 R 1 -10 R 2 -10 R +2 -11 R 1 -10 R 2 -11 R 2 -12 R 1 -11 R 2 -13 R 2 -11 R 1 -10 R 2 -11 R +2 -11 R 1 -11 R 2 -11 R 2 -12 R 1 -12 R 2 -12 R 2 -12 R 2 -10 R 1 -11 R +2 -11 R 2 -12 R 1 -12 R 2 -12 R 2 -12 R 1 -13 R 2 -11 R 2 -11 R 1 -11 R +2 -12 R 2 -11 R 1 -13 R 2 -12 R 2 -13 R 1 -13 R 2 -11 R 2 -12 R 1 -11 R +2 -12 R 2 -12 R 1 -12 R 2 -13 R 2 -13 R 1 -14 R 2 -11 R 2 -12 R 1 -11 R +2 -13 R 2 -12 R 1 -13 R 2 -13 R 2 -14 R 1 -13 R 2 -12 R 2 -12 R 1 -12 R +2 -12 R 2 -13 R 1 -13 R 2 -14 R 2 -14 R 1 -14 R 2 -11 R 2 -12 R 1 -13 R +2 -13 R 2 -13 R 1 -13 R 2 -15 R 2 -14 R 1 -14 R 2 -12 R 2 -12 R 2 -13 R +1 -13 R 2 -14 R 2 -14 R 1 -14 R 2 -15 R 2 -14 R 1 -12 R 2 -13 R 2 -13 R +1 -14 R 2 -14 R 2 -14 R 1 -15 R 2 -15 R 2 -14 R 1 -13 R 2 -13 R 2 -13 R +1 -14 R 2 -15 R 2 -15 R 1 -15 R 2 -16 R 2 -13 R 1 -13 R 2 -14 R 1 -7 R D +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 13794 1422 M 9758 0 R D +13794 1422 M 0 205 R D gsave 13794 889 translate 0 0 M 1.01 dup scale +-294.217 0 N +(0.1) show grestore 18673 1422 M 0 205 R D gsave 18673 889 translate 0 0 M +1.01 dup scale -294.217 0 N +(1.0) show grestore 23552 1422 M 0 205 R D gsave 23552 889 translate 0 0 M +1.01 dup scale -411.903 0 N +(10.0) show grestore 15263 1422 M 0 102 R D 16122 1422 M 0 102 R D +16731 1422 M 0 102 R D 17204 1422 M 0 102 R D 17590 1422 M 0 102 R D +17917 1422 M 0 102 R D 18200 1422 M 0 102 R D 18450 1422 M 0 102 R D +20141 1422 M 0 102 R D 21001 1422 M 0 102 R D 21610 1422 M 0 102 R D +22083 1422 M 0 102 R D 22469 1422 M 0 102 R D 22796 1422 M 0 102 R D +23079 1422 M 0 102 R D 23328 1422 M 0 102 R D +gsave 18673 427 translate 0 0 M 1.01 dup scale -1541.15 0 N +(Frequency [keV]) show grestore 13794 11645 M 9758 0 R D 13794 11645 M +0 -205 R D 18673 11645 M 0 -205 R D 23552 11645 M 0 -205 R D 15263 11645 M +0 -103 R D 16122 11645 M 0 -103 R D 16731 11645 M 0 -103 R D 17204 11645 M +0 -103 R D 17590 11645 M 0 -103 R D 17917 11645 M 0 -103 R D 18200 11645 M +0 -103 R D 18450 11645 M 0 -103 R D 20141 11645 M 0 -103 R D 21001 11645 M +0 -103 R D 21610 11645 M 0 -103 R D 22083 11645 M 0 -103 R D 22469 11645 M +0 -103 R D 22796 11645 M 0 -103 R D 23079 11645 M 0 -103 R D 23328 11645 M +0 -103 R D 13794 1422 M 0 10223 R D 13794 1422 M 195 0 R D +gsave 13682 1422 translate 0 0 M 1.01 dup scale -821.766 0 N +( 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-4) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 13794 3598 M 195 0 R D +gsave 13682 3455 translate 0 0 M 1.01 dup scale -821.766 0 N +( 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-3) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 13794 5773 M 195 0 R D +gsave 13682 5631 translate 0 0 M 1.01 dup scale -821.766 0 N +( 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-2) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 13794 7949 M 195 0 R D +gsave 13682 7806 translate 0 0 M 1.01 dup scale -821.766 0 N +( 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-1) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 13794 10124 M 195 0 R D +gsave 13682 9982 translate 0 0 M 1.01 dup scale -734.365 0 N +( 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(0) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 13794 2077 M 97 0 R D 13794 2460 M 97 0 R D +13794 2732 M 97 0 R D 13794 2943 M 97 0 R D 13794 3115 M 97 0 R D +13794 3261 M 97 0 R D 13794 3387 M 97 0 R D 13794 3498 M 97 0 R D +13794 4252 M 97 0 R D 13794 4636 M 97 0 R D 13794 4907 M 97 0 R D +13794 5118 M 97 0 R D 13794 5290 M 97 0 R D 13794 5436 M 97 0 R D +13794 5562 M 97 0 R D 13794 5674 M 97 0 R D 13794 6428 M 97 0 R D +13794 6811 M 97 0 R D 13794 7083 M 97 0 R D 13794 7294 M 97 0 R D +13794 7466 M 97 0 R D 13794 7612 M 97 0 R D 13794 7738 M 97 0 R D +13794 7849 M 97 0 R D 13794 8603 M 97 0 R D 13794 8986 M 97 0 R D +13794 9258 M 97 0 R D 13794 9469 M 97 0 R D 13794 9641 M 97 0 R D +13794 9787 M 97 0 R D 13794 9913 M 97 0 R D 13794 10024 M 97 0 R D +13794 10779 M 97 0 R D 13794 11162 M 97 0 R D 13794 11434 M 97 0 R D +13794 11645 M 97 0 R D gsave 12516 6533 translate 0 0 M 90 rotate +1.01 dup scale -2333.42 0 N +(Integrated ) show +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(n) show +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(E) show X -101.051 M +%%IncludeResource: font Symbol +262.467 /Symbol STDFONT +(n) show X 0 M +%%IncludeResource: font 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R +195 18 R 195 15 R 195 16 R 196 16 R 195 15 R 195 17 R 195 17 R 195 18 R +195 20 R 196 22 R 195 25 R 195 27 R 195 28 R 195 -24 R 195 24 R 196 29 R +194 32 R D 16076 1422 M 60 342 R 195 2053 R 195 1547 R 195 1162 R 195 740 R +196 681 R 195 506 R 195 -655 R 195 473 R 195 353 R 195 135 R 195 202 R +196 13 R 195 126 R 195 165 R 195 133 R 195 81 R 195 89 R 196 72 R 195 58 R +195 33 R 195 43 R 195 36 R 195 24 R 195 28 R 196 25 R 195 21 R 195 22 R +195 21 R 195 22 R 195 22 R 196 25 R 195 26 R 195 28 R 195 29 R 195 -26 R +195 25 R 196 29 R 194 33 R D 17011 1422 M 101 1192 R 195 1763 R 195 -1912 R +195 1659 R 195 1278 R 195 587 R 195 800 R 196 205 R 195 560 R 195 505 R +195 401 R 195 238 R 195 262 R 196 207 R 195 165 R 195 85 R 195 114 R +195 91 R 195 55 R 195 64 R 196 53 R 195 41 R 195 39 R 195 34 R 195 33 R +195 31 R 196 30 R 195 31 R 195 31 R 195 32 R 195 -32 R 195 28 R 196 31 R +194 35 R D 18547 1422 M 126 1242 R 195 1584 R 195 1247 R 195 735 R 195 806 R +196 636 R 195 501 R 195 251 R 195 338 R 195 267 R 195 152 R 195 180 R +196 141 R 195 103 R 195 92 R 195 74 R 195 71 R 195 55 R 196 49 R 195 45 R +195 41 R 195 40 R 195 -48 R 195 37 R 196 37 R 194 41 R D 19499 1422 M +150 1522 R 195 1564 R 195 774 R 195 1050 R 195 821 R 195 458 R 195 545 R +196 420 R 195 301 R 195 259 R 195 204 R 195 188 R 195 133 R 196 108 R +195 89 R 195 76 R 195 65 R 195 -101 R 195 65 R 196 57 R 194 58 R D +20 setlinewidth L2 0.000 0.082 1.000 setrgbcolor 15915 1422 M 26 132 R +195 398 R 195 897 R 195 821 R 195 748 R 195 567 R 196 624 R 195 564 R +195 -713 R 195 525 R 195 472 R 195 228 R 195 373 R 196 83 R 195 318 R +195 358 R 195 321 R 195 212 R 195 253 R 196 223 R 195 194 R 195 106 R +195 151 R 195 129 R 195 80 R 195 98 R 196 82 R 195 64 R 195 60 R 195 51 R +195 50 R 195 42 R 196 40 R 195 38 R 195 36 R 195 36 R 195 -40 R 195 33 R +196 34 R 194 37 R D 0.000 1.000 0.149 setrgbcolor 13794 2170 M 195 467 R +195 449 R 195 430 R 196 413 R 195 396 R 195 380 R 195 366 R 195 351 R +195 338 R 195 326 R 196 316 R 195 97 R 195 284 R 195 263 R 195 244 R +195 179 R 196 208 R 195 193 R 195 -342 R 195 176 R 195 161 R 195 59 R +195 129 R 196 -1 R 195 113 R 195 182 R 195 173 R 195 119 R 195 149 R +196 138 R 195 128 R 195 75 R 195 111 R 195 101 R 195 67 R 195 87 R 196 78 R +195 65 R 195 64 R 195 59 R 195 60 R 195 52 R 196 48 R 195 47 R 195 44 R +195 43 R 195 -53 R 195 39 R 196 40 R 194 42 R D +1.000 0.000 0.000 setrgbcolor 13794 5740 M 195 224 R 195 216 R 195 206 R +196 198 R 195 190 R 195 182 R 195 175 R 195 168 R 195 163 R 195 157 R +196 153 R 195 26 R 195 137 R 195 127 R 195 116 R 195 79 R 196 100 R 195 91 R +195 -241 R 195 81 R 195 73 R 195 11 R 195 56 R 196 -27 R 195 48 R 195 124 R +195 120 R 195 85 R 195 108 R 196 101 R 195 97 R 195 58 R 195 88 R 195 82 R +195 56 R 195 74 R 196 70 R 195 60 R 195 61 R 195 57 R 195 62 R 195 55 R +196 53 R 195 51 R 195 50 R 195 48 R 195 -63 R 195 44 R 196 44 R 194 47 R D +40 setlinewidth 0.000 0.000 0.000 setrgbcolor 14853 1422 M 112 282 R +195 480 R 195 482 R 195 472 R 195 461 R 196 457 R 195 199 R 195 438 R +195 416 R 195 402 R 195 321 R 196 374 R 195 353 R 195 -415 R 195 324 R +195 308 R 195 161 R 195 269 R 196 70 R 195 247 R 195 279 R 195 263 R +195 182 R 195 231 R 196 215 R 195 197 R 195 112 R 195 170 R 195 152 R +195 97 R 195 126 R 196 111 R 195 89 R 195 84 R 195 75 R 195 75 R 195 61 R +196 54 R 195 51 R 195 47 R 195 44 R 195 -57 R 195 42 R 196 40 R 194 44 R D +%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%+ font Symbol +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%+ font Symbol +%%EOF diff --git a/feedback/papers/0506398/f25.ps b/feedback/papers/0506398/f25.ps new file mode 100644 index 0000000..4a7ddcf --- /dev/null +++ b/feedback/papers/0506398/f25.ps @@ -0,0 +1,692 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 507 1040 +%%Title: Graphics produced by IDL +%%For: phopkins@core-62-42.cruznet.ucsc.edu, +%% /Users/phopkins/Documents/lars_galaxies/plots/LF_massive +%%Creator: IDL Student Edition 6.0.3, Mac OS X (darwin ppc m32) +%%CreationDate: Thu Aug 18 17:04:39 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2003 Research Systems, Inc. All Rights Reserved. +%v 4 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef end 2.5 setmiterlimit +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 507 1040 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 1687 16000 M 14102 0 R D +3616 16000 M 0 147 R D gsave 3616 15499 translate 0 0 M 0.95 dup scale +-58.8433 0 N +( ) show grestore 7303 16000 M 0 147 R D gsave 7303 15499 translate 0 0 M +0.95 dup scale -58.8433 0 N +( ) show grestore 10991 16000 M 0 147 R D gsave 10991 15499 translate 0 0 M +0.95 dup scale -58.8433 0 N +( ) show grestore 14679 16000 M 0 147 R D gsave 14679 15499 translate 0 0 M +0.95 dup scale -58.8433 0 N +( ) show grestore 1687 16000 M 0 73 R D 2148 16000 M 0 73 R D 2505 16000 M +0 73 R D 2797 16000 M 0 73 R D 3044 16000 M 0 73 R D 3258 16000 M 0 73 R D +3447 16000 M 0 73 R D 4726 16000 M 0 73 R D 5375 16000 M 0 73 R D +5836 16000 M 0 73 R D 6193 16000 M 0 73 R D 6485 16000 M 0 73 R D +6732 16000 M 0 73 R D 6946 16000 M 0 73 R D 7135 16000 M 0 73 R D +8414 16000 M 0 73 R D 9063 16000 M 0 73 R D 9524 16000 M 0 73 R D +9881 16000 M 0 73 R D 10173 16000 M 0 73 R D 10420 16000 M 0 73 R D +10634 16000 M 0 73 R D 10822 16000 M 0 73 R D 12101 16000 M 0 73 R D +12751 16000 M 0 73 R D 13212 16000 M 0 73 R D 13569 16000 M 0 73 R D +13861 16000 M 0 73 R D 14108 16000 M 0 73 R D 14322 16000 M 0 73 R D +14510 16000 M 0 73 R D 15789 16000 M 0 73 R D +gsave 8738 15064 translate 0 0 M 0.95 dup scale -58.8433 0 N +( ) show grestore 1687 23331 M 14102 0 R D 3616 23331 M 0 -146 R D +7303 23331 M 0 -146 R D 10991 23331 M 0 -146 R D 14679 23331 M 0 -146 R D +1687 23331 M 0 -73 R D 2148 23331 M 0 -73 R D 2505 23331 M 0 -73 R D +2797 23331 M 0 -73 R D 3044 23331 M 0 -73 R D 3258 23331 M 0 -73 R D +3447 23331 M 0 -73 R D 4726 23331 M 0 -73 R D 5375 23331 M 0 -73 R D +5836 23331 M 0 -73 R D 6193 23331 M 0 -73 R D 6485 23331 M 0 -73 R D +6732 23331 M 0 -73 R D 6946 23331 M 0 -73 R D 7135 23331 M 0 -73 R D +8414 23331 M 0 -73 R D 9063 23331 M 0 -73 R D 9524 23331 M 0 -73 R D +9881 23331 M 0 -73 R D 10173 23331 M 0 -73 R D 10420 23331 M 0 -73 R D +10634 23331 M 0 -73 R D 10822 23331 M 0 -73 R D 12101 23331 M 0 -73 R D +12751 23331 M 0 -73 R D 13212 23331 M 0 -73 R D 13569 23331 M 0 -73 R D +13861 23331 M 0 -73 R D 14108 23331 M 0 -73 R D 14322 23331 M 0 -73 R D +14510 23331 M 0 -73 R D 15789 23331 M 0 -73 R D 1687 16000 M 0 7331 R D +1687 17696 M 282 0 R D gsave 1582 17563 translate 0 0 M 0.95 dup scale +-470.747 0 N +(10) show grestore 1687 23331 M 282 0 R D gsave 1582 23097 translate 0 0 M +0.95 dup scale -706.12 0 N +(100) show grestore 1687 16000 M 141 0 R D 1687 16446 M 141 0 R D +1687 16824 M 141 0 R D 1687 17150 M 141 0 R D 1687 17439 M 141 0 R D +1687 19393 M 141 0 R D 1687 20385 M 141 0 R D 1687 21089 M 141 0 R D +1687 21635 M 141 0 R D 1687 22081 M 141 0 R D 1687 22458 M 141 0 R D +1687 22785 M 141 0 R D 1687 23073 M 141 0 R D 15789 16000 M 0 7331 R D +15789 17696 M -282 0 R D 15789 23331 M -282 0 R D 15789 16000 M -141 0 R D +15789 16446 M -141 0 R D 15789 16824 M -141 0 R D 15789 17150 M -141 0 R D +15789 17439 M -141 0 R D 15789 19393 M -141 0 R D 15789 20385 M -141 0 R D +15789 21089 M -141 0 R D 15789 21635 M -141 0 R D 15789 22081 M -141 0 R D +15789 22458 M -141 0 R D 15789 22785 M -141 0 R D 15789 23073 M -141 0 R D +20 setlinewidth 2550 16000 M 33 41 R 74 97 R 73 101 R 74 104 R 74 105 R +74 104 R 74 104 R 73 105 R 74 105 R 74 104 R 74 104 R 73 102 R 74 103 R +74 102 R 74 101 R 73 100 R 74 98 R 74 97 R 74 95 R 73 95 R 74 93 R 74 92 R +74 90 R 73 90 R 74 88 R 74 86 R 74 84 R 73 83 R 74 81 R 74 80 R 74 77 R +73 75 R 74 72 R 74 70 R 74 68 R 73 68 R 74 66 R 74 66 R 74 67 R 73 65 R +74 66 R 74 67 R 74 67 R 74 68 R 73 69 R 74 70 R 74 72 R 74 72 R 73 74 R +74 75 R 74 77 R 74 77 R 73 78 R 74 78 R 74 79 R 74 79 R 73 78 R 74 77 R +74 77 R 74 78 R 73 75 R 74 73 R 74 70 R 74 67 R 73 63 R 74 61 R 74 56 R +74 54 R 73 49 R 74 46 R 74 42 R 74 38 R 73 34 R 74 30 R 74 26 R 74 23 R +73 18 R 74 15 R 74 12 R 74 7 R 73 5 R 74 1 R 74 -2 R 74 -5 R 74 -7 R +73 -10 R 74 -13 R 74 -15 R 74 -17 R 73 -19 R 74 -21 R 74 -24 R 74 -25 R +73 -27 R 74 -30 R 74 -31 R 74 -33 R 73 -35 R 74 -37 R 74 -38 R 74 -41 R +73 -43 R 74 -45 R 74 -47 R 74 -49 R 73 -51 R 74 -54 R 74 -55 R 74 -58 R +73 -60 R 74 -63 R 74 -64 R 74 -66 R 73 -69 R 74 -71 R 74 -73 R 74 -75 R +73 -77 R 74 -79 R 74 -81 R 74 -84 R 74 -85 R 73 -87 R 74 -90 R 74 -91 R +74 -94 R 73 -95 R 74 -98 R 74 -100 R 74 -101 R 73 -105 R 74 -106 R 74 -109 R +74 -111 R 73 -114 R 74 -117 R 74 -121 R 74 -125 R 73 -128 R 74 -133 R +74 -136 R 74 -142 R 73 -147 R 74 -151 R 74 -157 R 74 -162 R 73 -168 R +74 -174 R 74 -180 R 74 -186 R 73 -193 R 74 -200 R 61 -171 R D +0.980 1.000 0.000 setrgbcolor 2509 16136 M 74 68 R 74 67 R 73 68 R 74 68 R +74 67 R 74 68 R 74 67 R 73 68 R 74 68 R 74 67 R 74 68 R 73 67 R 74 68 R +74 68 R 74 67 R 73 68 R 74 68 R 74 67 R 74 68 R 73 67 R 74 68 R 74 68 R +74 67 R 73 68 R 74 68 R 74 67 R 74 68 R 73 67 R 74 68 R 74 68 R 74 67 R +73 68 R 74 67 R 74 68 R 74 68 R 73 67 R 74 68 R 74 68 R 74 67 R 73 68 R +74 67 R 74 68 R 74 68 R 74 67 R 73 68 R 74 68 R 74 67 R 74 68 R 73 67 R +74 68 R 74 68 R 74 67 R 73 68 R 74 67 R 74 68 R 74 68 R 73 67 R 74 68 R +74 68 R 74 67 R 73 68 R 74 67 R 74 68 R 74 68 R 73 67 R 0 993 R -73 -68 R +-74 -68 R -74 -67 R -74 -68 R -73 -68 R -74 -67 R -74 -68 R -74 -67 R +-73 -68 R -74 -68 R -74 -67 R -74 -68 R -73 -68 R -74 -67 R -74 -68 R +-74 -67 R -73 -68 R -74 -68 R -74 -67 R -74 -68 R -73 -67 R -74 -68 R +-74 -68 R -74 -67 R -74 -68 R -73 -68 R -74 -67 R -74 -68 R -74 -67 R +-73 -68 R -74 -68 R -74 -67 R -74 -68 R -73 -68 R -74 -67 R -74 -68 R +-74 -67 R -73 -68 R -74 -68 R -74 -67 R -74 -68 R -73 -67 R -74 -68 R +-74 -68 R -74 -67 R -73 -68 R -74 -68 R -74 -67 R -74 -68 R -73 -67 R +-74 -68 R -74 -68 R -74 -67 R -73 -68 R -74 -68 R -74 -67 R -74 -68 R +-73 -67 R -74 -68 R -74 -68 R -74 -67 R -74 -68 R -73 -67 R -74 -68 R +-74 -68 R 0 -992 R F +5386 18873 M 73 71 R 74 71 R 74 71 R 74 70 R 74 70 R 73 70 R 74 68 R 74 69 R +74 67 R 73 68 R 74 66 R 74 66 R 74 66 R 73 64 R 74 64 R 74 63 R 74 62 R +73 62 R 74 61 R 74 59 R 74 59 R 73 58 R 74 56 R 74 56 R 74 54 R 73 54 R +74 52 R 74 50 R 74 50 R 73 47 R 74 47 R 74 44 R 74 43 R 73 42 R 74 39 R +74 38 R 74 35 R 73 34 R 74 31 R 74 29 R 74 27 R 73 24 R 74 21 R 74 19 R +74 16 R 74 12 R 73 10 R 74 6 R 74 3 R 74 -1 R 73 -4 R 74 -9 R 74 -13 R +74 -17 R 73 -22 R 74 -27 R 74 -31 R 74 -37 R 73 -42 R 74 -49 R 74 -54 R +74 -60 R 73 -67 R 74 -75 R 74 -81 R 74 -80 R 73 -78 R 74 -75 R 74 -73 R +74 -71 R 73 -69 R 74 -68 R 74 -67 R 74 -66 R 73 -65 R 74 -65 R 74 -63 R +74 -64 R 73 -62 R 74 -63 R 74 -62 R 74 -61 R 74 -62 R 73 -61 R 74 -61 R +74 -61 R 74 -60 R 73 -61 R 74 -60 R 74 -60 R 74 -60 R 73 -59 R 74 -60 R +74 -59 R 74 -59 R 73 -59 R 74 -59 R 74 -59 R 74 -58 R 73 -59 R 74 -58 R +74 -58 R 74 -58 R 73 -58 R 74 -57 R 74 -58 R 74 -57 R 73 -57 R 74 -57 R +74 -57 R 74 -56 R 73 -56 R 74 -57 R 74 -56 R 74 -55 R 73 -56 R 74 -55 R +74 -55 R 74 -55 R 73 -55 R 74 -55 R 74 -54 R 74 -54 R 74 -54 R 73 -53 R +74 -54 R 0 992 R -74 54 R -73 53 R -74 54 R -74 54 R -74 55 R -74 54 R +-73 55 R -74 55 R -74 55 R -74 55 R -73 56 R -74 56 R -74 56 R -74 56 R +-73 56 R -74 57 R -74 56 R -74 57 R -73 57 R -74 58 R -74 57 R -74 58 R +-73 57 R -74 58 R -74 58 R -74 59 R -73 58 R -74 58 R -74 59 R -74 59 R +-73 59 R -74 59 R -74 60 R -74 59 R -73 60 R -74 60 R -74 60 R -74 60 R +-73 60 R -74 61 R -74 60 R -74 61 R -73 61 R -74 62 R -74 61 R -74 62 R +-74 63 R -73 63 R -74 63 R -74 64 R -74 64 R -73 65 R -74 66 R -74 67 R +-74 68 R -73 69 R -74 71 R -74 73 R -74 75 R -73 78 R -74 81 R -74 81 R +-74 74 R -73 67 R -74 60 R -74 55 R -74 48 R -73 42 R -74 37 R -74 32 R +-74 26 R -73 22 R -74 17 R -74 13 R -74 9 R -73 4 R -74 1 R -74 -2 R +-74 -7 R -73 -9 R -74 -13 R -74 -16 R -74 -18 R -74 -22 R -73 -24 R +-74 -27 R -74 -29 R -74 -31 R -73 -33 R -74 -36 R -74 -37 R -74 -40 R +-73 -41 R -74 -43 R -74 -45 R -74 -46 R -73 -48 R -74 -49 R -74 -51 R +-74 -52 R -73 -53 R -74 -55 R -74 -55 R -74 -57 R -73 -58 R -74 -58 R +-74 -60 R -74 -61 R -73 -61 R -74 -63 R -74 -63 R -74 -64 R -73 -64 R +-74 -66 R -74 -65 R -74 -67 R -73 -67 R -74 -68 R -74 -68 R -74 -69 R +-73 -70 R -74 -69 R -74 -71 R -74 -70 R -74 -72 R -73 -71 R 0 -992 R F +80 setlinewidth 0.000 0.514 1.000 setrgbcolor 2509 16682 M 74 68 R 74 67 R +73 68 R 74 68 R 74 67 R 74 68 R 74 67 R 73 68 R 74 68 R 74 67 R 74 68 R +73 68 R 74 67 R 74 68 R 74 67 R 73 68 R 74 68 R 74 67 R 74 68 R 73 67 R +74 68 R 74 68 R 74 67 R 73 68 R 74 68 R 74 67 R 74 68 R 73 67 R 74 68 R +74 68 R 74 67 R 73 68 R 74 68 R 74 67 R 74 68 R 73 67 R 74 68 R 74 68 R +74 67 R 73 68 R 74 67 R 74 68 R 74 68 R 74 67 R 73 68 R 74 68 R 74 67 R +74 68 R 73 67 R 74 68 R 74 68 R 74 67 R 73 68 R 74 68 R 74 67 R 74 68 R +73 67 R 74 68 R 74 68 R 74 67 R 73 68 R 74 67 R 74 68 R 74 68 R 73 67 R D +1.000 0.000 0.000 setrgbcolor 5386 19419 M 73 71 R 74 71 R 74 71 R 74 70 R +74 70 R 73 70 R 74 68 R 74 69 R 74 68 R 73 67 R 74 66 R 74 66 R 74 66 R +73 64 R 74 64 R 74 63 R 74 63 R 73 61 R 74 61 R 74 59 R 74 59 R 73 58 R +74 57 R 74 55 R 74 55 R 73 53 R 74 52 R 74 50 R 74 50 R 73 47 R 74 47 R +74 45 R 74 43 R 73 41 R 74 39 R 74 38 R 74 36 R 73 33 R 74 31 R 74 29 R +74 27 R 73 24 R 74 21 R 74 19 R 74 16 R 74 13 R 73 9 R 74 6 R 74 3 R 74 -1 R +73 -4 R 74 -9 R 74 -13 R 74 -17 R 73 -22 R 74 -26 R 74 -32 R 74 -37 R +73 -42 R 74 -49 R 74 -54 R 74 -60 R 73 -67 R 74 -74 R 74 -81 R 74 -81 R +73 -78 R 74 -75 R 74 -73 R 74 -71 R 73 -69 R 74 -68 R 74 -67 R 74 -66 R +73 -65 R 74 -65 R 74 -63 R 74 -64 R 73 -62 R 74 -63 R 74 -62 R 74 -61 R +74 -62 R 73 -61 R 74 -61 R 74 -61 R 74 -60 R 73 -61 R 74 -60 R 74 -60 R +74 -59 R 73 -60 R 74 -60 R 74 -59 R 74 -59 R 73 -59 R 74 -59 R 74 -59 R +74 -58 R 73 -59 R 74 -58 R 74 -58 R 74 -58 R 73 -58 R 74 -57 R 74 -58 R +74 -57 R 73 -57 R 74 -57 R 74 -57 R 74 -56 R 73 -56 R 74 -57 R 74 -55 R +74 -56 R 73 -56 R 74 -55 R 74 -55 R 74 -55 R 73 -55 R 74 -54 R 74 -55 R +74 -54 R 74 -54 R 73 -53 R 74 -54 R D 20 setlinewidth +0.000 0.000 0.000 setrgbcolor 2550 16000 M 33 41 R 74 97 R 73 101 R 74 104 R +74 105 R 74 104 R 74 104 R 73 105 R 74 105 R 74 104 R 74 104 R 73 102 R +74 103 R 74 102 R 74 101 R 73 100 R 74 98 R 74 97 R 74 95 R 73 95 R 74 93 R +74 92 R 74 90 R 73 90 R 74 88 R 74 86 R 74 84 R 73 83 R 74 81 R 74 80 R +74 77 R 73 75 R 74 72 R 74 70 R 74 68 R 73 68 R 74 66 R 74 66 R 74 67 R +73 65 R 74 66 R 74 67 R 74 67 R 74 68 R 73 69 R 74 70 R 74 72 R 74 72 R +73 74 R 74 75 R 74 77 R 74 77 R 73 78 R 74 78 R 74 79 R 74 79 R 73 78 R +74 77 R 74 77 R 74 78 R 73 75 R 74 73 R 74 70 R 74 67 R 73 63 R 74 61 R +74 56 R 74 54 R 73 49 R 74 46 R 74 42 R 74 38 R 73 34 R 74 30 R 74 26 R +74 23 R 73 18 R 74 15 R 74 12 R 74 7 R 73 5 R 74 1 R 74 -2 R 74 -5 R 74 -7 R +73 -10 R 74 -13 R 74 -15 R 74 -17 R 73 -19 R 74 -21 R 74 -24 R 74 -25 R +73 -27 R 74 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78 R +73 75 R 74 73 R 74 70 R 74 68 R 73 64 R 74 61 R 74 57 R 74 55 R 73 50 R +74 47 R 74 43 R 74 39 R 73 35 R 74 32 R 74 27 R 74 24 R 73 19 R 74 16 R +74 13 R 74 8 R 73 6 R 74 2 R 74 -1 R 74 -4 R 74 -7 R 73 -10 R 74 -11 R +74 -15 R 74 -16 R 73 -19 R 74 -21 R 74 -22 R 74 -25 R 73 -27 R 74 -29 R +74 -30 R 74 -33 R 73 -34 R 74 -36 R 74 -39 R 74 -40 R 73 -42 R 74 -44 R +74 -47 R 74 -48 R 73 -51 R 74 -53 R 74 -55 R 74 -57 R 73 -59 R 74 -62 R +74 -63 R 74 -66 R 73 -68 R 74 -70 R 74 -72 R 74 -75 R 73 -76 R 74 -79 R +74 -80 R 74 -83 R 74 -85 R 73 -87 R 74 -89 R 74 -91 R 74 -93 R 73 -95 R +74 -97 R 74 -99 R 74 -101 R 73 -104 R 74 -105 R 74 -108 R 74 -111 R +73 -113 R 74 -116 R 74 -119 R 74 -124 R 73 -127 R 74 -131 R 74 -135 R +74 -141 R 73 -145 R 74 -149 R 74 -156 R 74 -160 R 73 -166 R 74 -172 R +74 -178 R 3 -9 R D 1876 16000 M 43 41 R 74 75 R 74 78 R 73 79 R 74 82 R +74 86 R 74 88 R 73 91 R 74 92 R 74 95 R 74 97 R 73 102 R 74 105 R 74 105 R +74 105 R 74 105 R 73 106 R 74 105 R 74 105 R 74 104 R 73 104 R 74 103 R +74 103 R 74 102 R 73 101 R 74 99 R 74 98 R 74 97 R 73 95 R 74 94 R 74 93 R +74 92 R 73 90 R 74 89 R 74 87 R 74 85 R 73 84 R 74 82 R 74 80 R 74 78 R +73 75 R 74 73 R 74 70 R 74 69 R 73 67 R 74 67 R 74 67 R 74 66 R 73 67 R +74 66 R 74 68 R 74 68 R 74 69 R 73 70 R 74 71 R 74 72 R 74 74 R 73 75 R +74 77 R 74 78 R 74 78 R 73 79 R 74 80 R 74 80 R 74 80 R 73 79 R 74 78 R +74 78 R 74 78 R 73 75 R 74 72 R 74 70 R 74 67 R 73 63 R 74 60 R 74 56 R +74 53 R 73 48 R 74 45 R 74 41 R 74 37 R 73 33 R 74 30 R 74 25 R 74 22 R +73 17 R 74 14 R 74 11 R 74 6 R 73 4 R 74 0 R 74 -2 R 74 -6 R 74 -8 R +73 -11 R 74 -13 R 74 -15 R 74 -18 R 73 -20 R 74 -21 R 74 -24 R 74 -26 R +73 -28 R 74 -30 R 74 -31 R 74 -34 R 73 -35 R 74 -38 R 74 -39 R 74 -41 R +73 -44 R 74 -45 R 74 -48 R 74 -50 R 73 -52 R 74 -54 R 74 -56 R 74 -59 R +73 -60 R 74 -63 R 74 -65 R 74 -68 R 73 -69 R 74 -71 R 74 -74 R 74 -76 R +73 -77 R 74 -80 R 74 -82 R 74 -84 R 74 -85 R 73 -88 R 74 -90 R 74 -92 R +74 -94 R 73 -96 R 74 -99 R 74 -100 R 74 -102 R 73 -105 R 74 -107 R 74 -110 R +74 -112 R 73 -115 R 74 -119 R 74 -122 R 74 -125 R 73 -130 R 74 -134 R +74 -138 R 74 -143 R 73 -148 R 74 -153 R 74 -159 R 74 -164 R 73 -169 R +74 -176 R 74 -182 R 74 -188 R 73 -195 R 74 -202 R 74 -209 R 74 -217 R +73 -224 R 74 -232 R 8 -29 R D L2 3270 16000 M 51 150 R 73 211 R 74 206 R +74 199 R 74 192 R 73 187 R 74 179 R 74 174 R 74 167 R 73 160 R 74 156 R +74 149 R 74 144 R 73 138 R 74 132 R 74 126 R 74 121 R 73 115 R 74 109 R +74 105 R 74 99 R 73 94 R 74 88 R 74 83 R 74 79 R 73 76 R 74 74 R 74 71 R +74 69 R 73 67 R 74 65 R 74 65 R 74 65 R 74 64 R 73 64 R 74 64 R 74 65 R +74 65 R 73 66 R 74 67 R 74 68 R 74 68 R 73 69 R 74 69 R 74 70 R 74 70 R +73 69 R 74 69 R 74 69 R 74 69 R 73 68 R 74 65 R 74 62 R 74 60 R 73 58 R +74 54 R 74 51 R 74 48 R 73 45 R 74 41 R 74 37 R 74 34 R 73 31 R 74 26 R +74 24 R 74 19 R 73 16 R 74 12 R 74 9 R 74 6 R 73 2 R 74 -1 R 74 -3 R 74 -7 R +74 -8 R 73 -12 R 74 -13 R 74 -16 R 74 -18 R 73 -21 R 74 -22 R 74 -24 R +74 -26 R 73 -28 R 74 -29 R 74 -32 R 74 -33 R 73 -36 R 74 -37 R 74 -39 R +74 -41 R 73 -43 R 74 -45 R 74 -47 R 74 -50 R 73 -51 R 74 -54 R 74 -56 R +74 -58 R 73 -60 R 74 -62 R 74 -65 R 74 -66 R 73 -69 R 74 -71 R 74 -73 R +74 -75 R 73 -77 R 74 -79 R 74 -81 R 74 -84 R 74 -85 R 73 -87 R 74 -90 R +74 -91 R 74 -94 R 73 -96 R 74 -97 R 74 -100 R 74 -102 R 73 -104 R 74 -107 R +74 -108 R 74 -112 R 73 -114 R 74 -117 R 74 -121 R 74 -124 R 73 -128 R +74 -133 R 74 -137 R 74 -142 R 73 -146 R 74 -152 R 74 -156 R 74 -163 R +73 -168 R 74 -173 R 74 -180 R 74 -187 R 73 -193 R 74 -200 R 74 -206 R +35 -103 R D L0 6235 17826 M 1599 0 R D gsave 8100 17720 translate 0 0 M +0.9 dup scale +(Full Model) show grestore L1 6235 17403 M 1599 0 R D +gsave 8100 17298 translate 0 0 M 0.9 dup scale +(~1) show +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(s) show +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( Uncertainty) show grestore L2 6235 16981 M 1599 0 R D +gsave 8100 16875 translate 0 0 M 0.9 dup scale +(Full model, but) show grestore gsave 6946 16446 translate 0 0 M +0.9 dup scale +(no N) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(H) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( Variance with Population) show grestore 15 setlinewidth L0 1687 8669 M +14102 0 R D 3616 8669 M 0 147 R D gsave 3616 8167 translate 0 0 M +0.95 dup scale -58.8433 0 N +( ) show grestore 7303 8669 M 0 147 R D gsave 7303 8167 translate 0 0 M +0.95 dup scale -58.8433 0 N +( ) show grestore 10991 8669 M 0 147 R D gsave 10991 8167 translate 0 0 M +0.95 dup scale -58.8433 0 N +( ) show grestore 14679 8669 M 0 147 R D gsave 14679 8167 translate 0 0 M +0.95 dup scale -58.8433 0 N +( ) show grestore 1687 8669 M 0 73 R D 2148 8669 M 0 73 R D 2505 8669 M +0 73 R D 2797 8669 M 0 73 R D 3044 8669 M 0 73 R D 3258 8669 M 0 73 R D +3447 8669 M 0 73 R D 4726 8669 M 0 73 R D 5375 8669 M 0 73 R D 5836 8669 M +0 73 R D 6193 8669 M 0 73 R D 6485 8669 M 0 73 R D 6732 8669 M 0 73 R D +6946 8669 M 0 73 R D 7135 8669 M 0 73 R D 8414 8669 M 0 73 R D 9063 8669 M +0 73 R D 9524 8669 M 0 73 R D 9881 8669 M 0 73 R D 10173 8669 M 0 73 R D +10420 8669 M 0 73 R D 10634 8669 M 0 73 R D 10822 8669 M 0 73 R D +12101 8669 M 0 73 R D 12751 8669 M 0 73 R D 13212 8669 M 0 73 R D +13569 8669 M 0 73 R D 13861 8669 M 0 73 R D 14108 8669 M 0 73 R D +14322 8669 M 0 73 R D 14510 8669 M 0 73 R D 15789 8669 M 0 73 R D +gsave 8738 7733 translate 0 0 M 0.95 dup scale -58.8433 0 N +( ) show grestore 1687 16000 M 14102 0 R D 3616 16000 M 0 -147 R D +7303 16000 M 0 -147 R D 10991 16000 M 0 -147 R D 14679 16000 M 0 -147 R D +1687 16000 M 0 -73 R D 2148 16000 M 0 -73 R D 2505 16000 M 0 -73 R D +2797 16000 M 0 -73 R D 3044 16000 M 0 -73 R D 3258 16000 M 0 -73 R D +3447 16000 M 0 -73 R D 4726 16000 M 0 -73 R D 5375 16000 M 0 -73 R D +5836 16000 M 0 -73 R D 6193 16000 M 0 -73 R D 6485 16000 M 0 -73 R D +6732 16000 M 0 -73 R D 6946 16000 M 0 -73 R D 7135 16000 M 0 -73 R D +8414 16000 M 0 -73 R D 9063 16000 M 0 -73 R D 9524 16000 M 0 -73 R D +9881 16000 M 0 -73 R D 10173 16000 M 0 -73 R D 10420 16000 M 0 -73 R D +10634 16000 M 0 -73 R D 10822 16000 M 0 -73 R D 12101 16000 M 0 -73 R D +12751 16000 M 0 -73 R D 13212 16000 M 0 -73 R D 13569 16000 M 0 -73 R D +13861 16000 M 0 -73 R D 14108 16000 M 0 -73 R D 14322 16000 M 0 -73 R D +14510 16000 M 0 -73 R D 15789 16000 M 0 -73 R D 1687 8669 M 0 7331 R D +1687 10365 M 282 0 R D gsave 1582 10231 translate 0 0 M 0.95 dup scale +-470.747 0 N +(10) show grestore 1687 16000 M 282 0 R D gsave 1582 15766 translate 0 0 M +0.95 dup scale -706.12 0 N +(100) show grestore 1687 8669 M 141 0 R D 1687 9115 M 141 0 R D 1687 9492 M +141 0 R D 1687 9819 M 141 0 R D 1687 10107 M 141 0 R D 1687 12061 M 141 0 R +D 1687 13054 M 141 0 R D 1687 13758 M 141 0 R D 1687 14304 M 141 0 R D +1687 14750 M 141 0 R D 1687 15127 M 141 0 R D 1687 15454 M 141 0 R D +1687 15742 M 141 0 R D gsave 595 12335 translate 0 0 M 90 rotate +0.95 dup scale -2962.79 0 N +(E I\(E\) [ keV) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(2) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( cm) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-2) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( s) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-1) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( keV) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-1) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( sr) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-1) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( ]) show grestore 15789 8669 M 0 7331 R D 15789 10365 M -282 0 R D +15789 16000 M -282 0 R D 15789 8669 M -141 0 R D 15789 9115 M -141 0 R D +15789 9492 M -141 0 R D 15789 9819 M -141 0 R D 15789 10107 M -141 0 R D +15789 12061 M -141 0 R D 15789 13054 M -141 0 R D 15789 13758 M -141 0 R D +15789 14304 M -141 0 R D 15789 14750 M -141 0 R D 15789 15127 M -141 0 R D +15789 15454 M -141 0 R D 15789 15742 M -141 0 R D +0.980 1.000 0.000 setrgbcolor 2509 8805 M 74 67 R 74 68 R 73 68 R 74 67 R +74 68 R 74 68 R 74 67 R 73 68 R 74 67 R 74 68 R 74 68 R 73 67 R 74 68 R +74 68 R 74 67 R 73 68 R 74 67 R 74 68 R 74 68 R 73 67 R 74 68 R 74 67 R +74 68 R 73 68 R 74 67 R 74 68 R 74 68 R 73 67 R 74 68 R 74 67 R 74 68 R +73 68 R 74 67 R 74 68 R 74 68 R 73 67 R 74 68 R 74 67 R 74 68 R 73 68 R +74 67 R 74 68 R 74 67 R 74 68 R 73 68 R 74 67 R 74 68 R 74 68 R 73 67 R +74 68 R 74 67 R 74 68 R 73 68 R 74 67 R 74 68 R 74 68 R 73 67 R 74 68 R +74 67 R 74 68 R 73 68 R 74 67 R 74 68 R 74 67 R 73 68 R 0 992 R -73 -67 R +-74 -68 R -74 -68 R -74 -67 R -73 -68 R -74 -67 R -74 -68 R -74 -68 R +-73 -67 R -74 -68 R -74 -67 R -74 -68 R -73 -68 R 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74 -27 R 74 -31 R 74 -37 R 73 -43 R 74 -48 R 74 -54 R +74 -61 R 73 -67 R 74 -74 R 74 -81 R 74 -80 R 73 -78 R 74 -75 R 74 -73 R +74 -71 R 73 -69 R 74 -68 R 74 -67 R 74 -66 R 73 -65 R 74 -65 R 74 -64 R +74 -63 R 73 -63 R 74 -62 R 74 -62 R 74 -62 R 74 -61 R 73 -61 R 74 -61 R +74 -61 R 74 -60 R 73 -61 R 74 -60 R 74 -60 R 74 -60 R 73 -59 R 74 -60 R +74 -59 R 74 -59 R 73 -59 R 74 -59 R 74 -59 R 74 -59 R 73 -58 R 74 -58 R +74 -58 R 74 -58 R 73 -58 R 74 -57 R 74 -58 R 74 -57 R 73 -57 R 74 -57 R +74 -57 R 74 -56 R 73 -57 R 74 -56 R 74 -56 R 74 -56 R 73 -55 R 74 -55 R +74 -56 R 74 -55 R 73 -54 R 74 -55 R 74 -54 R 74 -54 R 74 -54 R 73 -54 R +74 -53 R 0 992 R -74 54 R -73 53 R -74 54 R -74 54 R -74 54 R -74 55 R +-73 55 R -74 55 R -74 55 R -74 55 R -73 56 R -74 56 R -74 55 R -74 57 R +-73 56 R -74 56 R -74 57 R -74 57 R -73 57 R -74 57 R -74 58 R -74 57 R +-73 58 R -74 58 R -74 58 R -74 58 R -73 59 R -74 58 R -74 59 R -74 59 R +-73 59 R -74 59 R -74 59 R -74 60 R -73 60 R -74 59 R -74 60 R -74 60 R +-73 61 R -74 60 R -74 61 R -74 61 R -73 61 R -74 62 R -74 61 R -74 62 R +-74 63 R -73 62 R -74 64 R -74 63 R -74 65 R -73 65 R -74 66 R -74 67 R +-74 68 R -73 69 R -74 71 R -74 73 R -74 75 R -73 78 R -74 81 R -74 81 R +-74 74 R -73 67 R -74 60 R -74 54 R -74 49 R -73 42 R -74 37 R -74 32 R +-74 26 R -73 22 R -74 17 R -74 13 R -74 9 R -73 4 R -74 1 R -74 -3 R +-74 -6 R -73 -9 R -74 -13 R -74 -16 R -74 -19 R -74 -21 R -73 -24 R +-74 -27 R -74 -29 R -74 -31 R -73 -34 R -74 -35 R -74 -38 R -74 -39 R +-73 -41 R -74 -44 R -74 -44 R -74 -47 R -73 -47 R -74 -50 R -74 -50 R +-74 -52 R -73 -53 R -74 -55 R -74 -56 R -74 -56 R -73 -58 R -74 -59 R +-74 -59 R -74 -61 R -73 -61 R -74 -63 R -74 -63 R -74 -64 R -73 -64 R +-74 -66 R -74 -66 R -74 -66 R -73 -67 R -74 -68 R -74 -69 R -74 -68 R +-73 -70 R -74 -70 R -74 -70 R -74 -71 R -74 -71 R -73 -71 R 0 -993 R F +80 setlinewidth 0.000 0.514 1.000 setrgbcolor 2509 9351 M 74 68 R 74 67 R +73 68 R 74 67 R 74 68 R 74 68 R 74 67 R 73 68 R 74 67 R 74 68 R 74 68 R +73 67 R 74 68 R 74 68 R 74 67 R 73 68 R 74 67 R 74 68 R 74 68 R 73 67 R +74 68 R 74 68 R 74 67 R 73 68 R 74 67 R 74 68 R 74 68 R 73 67 R 74 68 R +74 67 R 74 68 R 73 68 R 74 67 R 74 68 R 74 68 R 73 67 R 74 68 R 74 67 R +74 68 R 73 68 R 74 67 R 74 68 R 74 68 R 74 67 R 73 68 R 74 67 R 74 68 R +74 68 R 73 67 R 74 68 R 74 67 R 74 68 R 73 68 R 74 67 R 74 68 R 74 68 R +73 67 R 74 68 R 74 67 R 74 68 R 73 68 R 74 67 R 74 68 R 74 68 R 73 67 R D +1.000 0.000 0.000 setrgbcolor 5386 12087 M 73 72 R 74 71 R 74 71 R 74 70 R +74 70 R 73 69 R 74 69 R 74 69 R 74 67 R 73 68 R 74 66 R 74 66 R 74 65 R +73 65 R 74 64 R 74 63 R 74 62 R 73 62 R 74 60 R 74 60 R 74 59 R 73 58 R +74 56 R 74 56 R 74 54 R 73 54 R 74 52 R 74 50 R 74 49 R 73 48 R 74 47 R +74 44 R 74 43 R 73 42 R 74 39 R 74 38 R 74 35 R 73 34 R 74 31 R 74 29 R +74 27 R 73 24 R 74 21 R 74 19 R 74 16 R 74 12 R 73 10 R 74 6 R 74 3 R +74 -1 R 73 -5 R 74 -8 R 74 -13 R 74 -17 R 73 -22 R 74 -27 R 74 -31 R +74 -37 R 73 -43 R 74 -48 R 74 -54 R 74 -60 R 73 -68 R 74 -74 R 74 -81 R +74 -80 R 73 -78 R 74 -75 R 74 -73 R 74 -71 R 73 -69 R 74 -68 R 74 -67 R +74 -66 R 73 -65 R 74 -65 R 74 -63 R 74 -64 R 73 -63 R 74 -62 R 74 -62 R +74 -62 R 74 -61 R 73 -61 R 74 -61 R 74 -61 R 74 -60 R 73 -61 R 74 -60 R +74 -60 R 74 -60 R 73 -59 R 74 -60 R 74 -59 R 74 -59 R 73 -59 R 74 -59 R +74 -59 R 74 -58 R 73 -59 R 74 -58 R 74 -58 R 74 -58 R 73 -58 R 74 -57 R +74 -58 R 74 -57 R 73 -57 R 74 -57 R 74 -57 R 74 -56 R 73 -57 R 74 -56 R +74 -56 R 74 -55 R 73 -56 R 74 -55 R 74 -55 R 74 -55 R 73 -55 R 74 -55 R +74 -54 R 74 -54 R 74 -54 R 73 -54 R 74 -53 R D 20 setlinewidth +0.000 0.000 0.000 setrgbcolor 2549 8668 M 34 42 R 74 97 R 73 101 R 74 104 R +74 104 R 74 105 R 74 104 R 73 105 R 74 105 R 74 104 R 74 103 R 73 103 R +74 103 R 74 102 R 74 101 R 73 99 R 74 99 R 74 97 R 74 95 R 73 94 R 74 94 R +74 91 R 74 91 R 73 89 R 74 88 R 74 87 R 74 84 R 73 83 R 74 81 R 74 80 R +74 77 R 73 75 R 74 72 R 74 70 R 74 68 R 73 67 R 74 67 R 74 66 R 74 66 R +73 66 R 74 66 R 74 67 R 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+1687 10821 M 11 -2 R 74 -20 R 73 -18 R 74 -17 R 74 -16 R 74 -12 R 73 -11 R +74 -9 R 74 -4 R 74 -1 R 73 2 R 74 5 R 74 9 R 74 13 R 73 17 R 74 22 R 74 25 R +74 28 R 74 31 R 73 33 R 74 37 R 74 38 R 74 41 R 73 42 R 74 45 R 74 47 R +74 49 R 73 50 R 74 51 R 74 52 R 74 52 R 73 54 R 74 54 R 74 56 R 74 55 R +73 57 R 74 57 R 74 57 R 74 57 R 73 57 R 74 57 R 74 57 R 74 56 R 73 56 R +74 54 R 74 54 R 74 52 R 73 53 R 74 54 R 74 53 R 74 54 R 73 54 R 74 55 R +74 56 R 74 57 R 74 59 R 73 59 R 74 61 R 74 63 R 74 64 R 73 65 R 74 67 R +74 69 R 74 70 R 73 71 R 74 71 R 74 72 R 74 73 R 73 71 R 74 72 R 74 71 R +74 72 R 73 70 R 74 67 R 74 65 R 74 63 R 73 59 R 74 57 R 74 53 R 74 50 R +73 46 R 74 43 R 74 39 R 74 36 R 73 32 R 74 28 R 74 24 R 74 21 R 73 17 R +74 13 R 74 10 R 74 7 R 73 3 R 74 0 R 74 -3 R 74 -6 R 74 -8 R 73 -11 R +74 -13 R 74 -15 R 74 -18 R 73 -20 R 74 -22 R 74 -23 R 74 -26 R 73 -28 R +74 -29 R 74 -31 R 74 -34 R 73 -35 R 74 -37 R 74 -39 R 74 -41 R 73 -43 R +74 -45 R 74 -47 R 74 -49 R 73 -52 R 74 -53 R 74 -56 R 74 -58 R 73 -60 R +74 -62 R 74 -65 R 74 -66 R 73 -69 R 74 -71 R 74 -73 R 74 -75 R 73 -77 R +74 -79 R 74 -81 R 74 -84 R 74 -85 R 73 -87 R 74 -90 R 74 -91 R 74 -94 R +73 -95 R 74 -98 R 74 -100 R 74 -102 R 73 -104 R 74 -106 R 74 -109 R +74 -111 R 73 -115 R 74 -117 R 74 -120 R 74 -125 R 73 -128 R 74 -133 R +74 -137 R 74 -141 R 73 -147 R 74 -151 R 74 -157 R 74 -162 R 73 -168 R +74 -174 R 74 -180 R 74 -187 R 73 -193 R 74 -199 R 74 -207 R 32 -94 R D L1 +2784 8668 M 20 51 R 74 184 R 74 178 R 74 174 R 73 168 R 74 162 R 74 157 R +74 151 R 73 146 R 74 142 R 74 137 R 74 132 R 73 127 R 74 123 R 74 119 R +74 114 R 73 111 R 74 107 R 74 103 R 74 100 R 73 97 R 74 93 R 74 90 R 74 87 R +73 84 R 74 81 R 74 78 R 74 76 R 73 73 R 74 70 R 74 67 R 74 66 R 73 64 R +74 63 R 74 61 R 74 61 R 73 60 R 74 60 R 74 59 R 74 60 R 74 60 R 73 61 R +74 61 R 74 62 R 74 63 R 73 64 R 74 64 R 74 67 R 74 66 R 73 68 R 74 68 R +74 69 R 74 68 R 73 68 R 74 68 R 74 69 R 74 69 R 73 68 R 74 65 R 74 63 R +74 61 R 73 57 R 74 55 R 74 52 R 74 48 R 73 45 R 74 41 R 74 38 R 74 34 R +73 31 R 74 27 R 74 24 R 74 19 R 73 17 R 74 12 R 74 9 R 74 6 R 73 3 R 74 -1 R +74 -3 R 74 -6 R 74 -9 R 73 -11 R 74 -14 R 74 -15 R 74 -18 R 73 -20 R +74 -22 R 74 -24 R 74 -26 R 73 -28 R 74 -29 R 74 -32 R 74 -33 R 73 -36 R +74 -37 R 74 -39 R 74 -41 R 73 -43 R 74 -45 R 74 -47 R 74 -49 R 73 -52 R +74 -53 R 74 -56 R 74 -58 R 73 -60 R 74 -63 R 74 -64 R 74 -67 R 73 -68 R +74 -71 R 74 -73 R 74 -75 R 73 -77 R 74 -79 R 74 -82 R 74 -83 R 74 -85 R +73 -88 R 74 -89 R 74 -92 R 74 -93 R 73 -96 R 74 -98 R 74 -99 R 74 -102 R +73 -104 R 74 -107 R 74 -109 R 74 -111 R 73 -114 R 74 -117 R 74 -121 R +74 -124 R 73 -129 R 74 -132 R 74 -137 R 74 -142 R 73 -146 R 74 -152 R +74 -157 R 74 -162 R 73 -168 R 74 -174 R 74 -180 R 74 -186 R 73 -193 R +74 -200 R 74 -207 R 35 -103 R D gsave 5836 10365 translate 0 0 M +0.9 dup scale +(Full Lifetimes Model) show grestore L2 6235 10024 M 1599 0 R D +gsave 8100 9918 translate 0 0 M 0.9 dup scale +(+ Standard Torus) show grestore L1 6235 9601 M 1599 0 R D +gsave 8100 9496 translate 0 0 M 0.9 dup scale +(+ Receding Torus) show grestore L0 6235 9179 M 1599 0 R D +gsave 8100 9073 translate 0 0 M 0.9 dup scale +(+ Full Obscuration Model) show grestore 15 setlinewidth 1687 1338 M +14102 0 R D 3616 1338 M 0 146 R D gsave 3616 836 translate 0 0 M +0.95 dup scale -117.687 0 N +(1) show grestore 7303 1338 M 0 146 R D gsave 7303 836 translate 0 0 M +0.95 dup scale -235.373 0 N +(10) show grestore 10991 1338 M 0 146 R D gsave 10991 836 translate 0 0 M +0.95 dup scale -353.06 0 N +(100) show grestore 14679 1338 M 0 146 R D gsave 14679 836 translate 0 0 M +0.95 dup scale -470.747 0 N +(1000) show grestore 1687 1338 M 0 73 R D 2148 1338 M 0 73 R D 2505 1338 M +0 73 R D 2797 1338 M 0 73 R D 3044 1338 M 0 73 R D 3258 1338 M 0 73 R D +3447 1338 M 0 73 R D 4726 1338 M 0 73 R D 5375 1338 M 0 73 R D 5836 1338 M +0 73 R D 6193 1338 M 0 73 R D 6485 1338 M 0 73 R D 6732 1338 M 0 73 R D +6946 1338 M 0 73 R D 7135 1338 M 0 73 R D 8414 1338 M 0 73 R D 9063 1338 M +0 73 R D 9524 1338 M 0 73 R D 9881 1338 M 0 73 R D 10173 1338 M 0 73 R D +10420 1338 M 0 73 R D 10634 1338 M 0 73 R D 10822 1338 M 0 73 R D +12101 1338 M 0 73 R D 12751 1338 M 0 73 R D 13212 1338 M 0 73 R D +13569 1338 M 0 73 R D 13861 1338 M 0 73 R D 14108 1338 M 0 73 R D +14322 1338 M 0 73 R D 14510 1338 M 0 73 R D 15789 1338 M 0 73 R D +gsave 8738 401 translate 0 0 M 0.95 dup scale -1235.07 0 N +(Energy \(keV\)) show grestore 1687 8669 M 14102 0 R D 3616 8669 M 0 -147 R +D 7303 8669 M 0 -147 R D 10991 8669 M 0 -147 R D 14679 8669 M 0 -147 R D +1687 8669 M 0 -73 R D 2148 8669 M 0 -73 R D 2505 8669 M 0 -73 R D +2797 8669 M 0 -73 R D 3044 8669 M 0 -73 R D 3258 8669 M 0 -73 R D +3447 8669 M 0 -73 R D 4726 8669 M 0 -73 R D 5375 8669 M 0 -73 R D +5836 8669 M 0 -73 R D 6193 8669 M 0 -73 R D 6485 8669 M 0 -73 R D +6732 8669 M 0 -73 R D 6946 8669 M 0 -73 R D 7135 8669 M 0 -73 R D +8414 8669 M 0 -73 R D 9063 8669 M 0 -73 R D 9524 8669 M 0 -73 R D +9881 8669 M 0 -73 R D 10173 8669 M 0 -73 R D 10420 8669 M 0 -73 R D +10634 8669 M 0 -73 R D 10822 8669 M 0 -73 R D 12101 8669 M 0 -73 R D +12751 8669 M 0 -73 R D 13212 8669 M 0 -73 R D 13569 8669 M 0 -73 R D +13861 8669 M 0 -73 R D 14108 8669 M 0 -73 R D 14322 8669 M 0 -73 R D +14510 8669 M 0 -73 R D 15789 8669 M 0 -73 R D 1687 1338 M 0 7331 R D +1687 3034 M 282 0 R D gsave 1582 2900 translate 0 0 M 0.95 dup scale +-470.747 0 N +(10) show grestore 1687 8669 M 282 0 R D gsave 1582 8435 translate 0 0 M +0.95 dup scale -706.12 0 N +(100) show grestore 1687 1338 M 141 0 R D 1687 1784 M 141 0 R D 1687 2161 M +141 0 R D 1687 2488 M 141 0 R D 1687 2776 M 141 0 R D 1687 4730 M 141 0 R D +1687 5723 M 141 0 R D 1687 6427 M 141 0 R D 1687 6973 M 141 0 R D +1687 7419 M 141 0 R D 1687 7796 M 141 0 R D 1687 8123 M 141 0 R D +1687 8411 M 141 0 R D 15789 1338 M 0 7331 R D 15789 3034 M -282 0 R D +15789 8669 M -282 0 R D 15789 1338 M -141 0 R D 15789 1784 M -141 0 R D +15789 2161 M -141 0 R D 15789 2488 M -141 0 R D 15789 2776 M -141 0 R D +15789 4730 M -141 0 R D 15789 5723 M -141 0 R D 15789 6427 M -141 0 R D +15789 6973 M -141 0 R D 15789 7419 M -141 0 R D 15789 7796 M -141 0 R D +15789 8123 M -141 0 R D 15789 8411 M -141 0 R D +0.980 1.000 0.000 setrgbcolor 2509 1474 M 74 67 R 74 68 R 73 67 R 74 68 R +74 68 R 74 67 R 74 68 R 73 68 R 74 67 R 74 68 R 74 67 R 73 68 R 74 68 R +74 67 R 74 68 R 73 68 R 74 67 R 74 68 R 74 67 R 73 68 R 74 68 R 74 67 R +74 68 R 73 67 R 74 68 R 74 68 R 74 67 R 73 68 R 74 68 R 74 67 R 74 68 R +73 67 R 74 68 R 74 68 R 74 67 R 73 68 R 74 68 R 74 67 R 74 68 R 73 67 R +74 68 R 74 68 R 74 67 R 74 68 R 73 67 R 74 68 R 74 68 R 74 67 R 73 68 R +74 68 R 74 67 R 74 68 R 73 67 R 74 68 R 74 68 R 74 67 R 73 68 R 74 68 R +74 67 R 74 68 R 73 67 R 74 68 R 74 68 R 74 67 R 73 68 R 0 992 R -73 -67 R +-74 -68 R -74 -68 R -74 -67 R -73 -68 R -74 -68 R -74 -67 R -74 -68 R +-73 -67 R -74 -68 R -74 -68 R -74 -67 R -73 -68 R -74 -68 R -74 -67 R +-74 -68 R -73 -67 R -74 -68 R -74 -68 R 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+%%DocumentNeededResources: font Helvetica +%%+ font Symbol +%%EOF diff --git a/feedback/papers/0506398/f3.ps b/feedback/papers/0506398/f3.ps new file mode 100644 index 0000000..d265951 --- /dev/null +++ b/feedback/papers/0506398/f3.ps @@ -0,0 +1,5577 @@ +%!PS-Adobe-3.0 +%%Creator: (ImageMagick) +%%Title: (f3.n.ps) +%%CreationDate: (Wed Oct 26 01:03:42 2005) +%%BoundingBox: 0 0 504 360 +%%DocumentData: Clean7Bit +%%LanguageLevel: 1 +%%Orientation: Portrait +%%PageOrder: Ascend +%%Pages: 1 +%%EndComments + +%%BeginDefaults +%%EndDefaults + +%%BeginProlog +% +% Display a color image. The image is displayed in color on +% Postscript viewers or printers that support color, otherwise +% it is displayed as grayscale. +% +/DirectClassPacket +{ + % + % Get a DirectClass packet. + % + % Parameters: + % red. + % green. + % blue. + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/DirectClassImage +{ + % + % Display a DirectClass image. + % + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { DirectClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayDirectClassPacket } image + } ifelse +} bind def + +/GrayDirectClassPacket +{ + % + % Get a DirectClass packet; convert to grayscale. + % + % Parameters: + % red + % green + % blue + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/GrayPseudoClassPacket +{ + % + % Get a PseudoClass packet; convert to grayscale. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassPacket +{ + % + % Get a PseudoClass packet. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassImage +{ + % + % Display a PseudoClass image. + % + % Parameters: + % class: 0-PseudoClass or 1-Grayscale. + % + currentfile buffer readline pop + token pop /class exch def pop + class 0 gt + { + currentfile buffer readline pop + token pop /depth exch def pop + /grays columns 8 add depth sub depth mul 8 idiv string def + columns rows depth + [ + columns 0 0 + rows neg 0 rows + ] + { currentfile grays readhexstring pop } image + } + { + % + % Parameters: + % colors: number of colors in the colormap. + % colormap: red, green, blue color packets. + % + currentfile buffer readline pop + token pop /colors exch def pop + /colors colors 3 mul def + /colormap colors string def + currentfile colormap readhexstring pop pop + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { PseudoClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayPseudoClassPacket } image + } ifelse + } ifelse +} bind def + +/DisplayImage +{ + % + % Display a DirectClass or PseudoClass image. + % + % Parameters: + % x & y translation. + % x & y scale. + % label pointsize. + % image label. + % image columns & rows. + % class: 0-DirectClass or 1-PseudoClass. + % compression: 0-none or 1-RunlengthEncoded. + % hex color packets. + % + gsave + /buffer 512 string def + /byte 1 string def + /color_packet 3 string def + /pixels 768 string def + + currentfile buffer readline pop + token pop /x exch def + token pop /y exch def pop + x y translate + currentfile buffer readline pop + token pop /x exch def + token pop /y exch def pop + currentfile buffer readline pop + token pop /pointsize exch def pop + /Times-Roman findfont pointsize scalefont setfont + x y scale + currentfile buffer readline pop + token pop /columns exch def + token pop /rows exch def pop + currentfile buffer readline pop + token pop /class exch def pop + currentfile buffer readline pop + token pop /compression exch def pop + class 0 gt 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gsave 13529 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 15064 6706 M 0 105 R D gsave 15064 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 16599 6706 M 0 105 R D gsave 16599 6172 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 10922 6706 M 0 52 R D 11192 6706 M 0 52 R D 11384 6706 M +0 52 R D 11532 6706 M 0 52 R D 11654 6706 M 0 52 R D 11757 6706 M 0 52 R D +11846 6706 M 0 52 R D 11924 6706 M 0 52 R D 12457 6706 M 0 52 R D +12727 6706 M 0 52 R D 12919 6706 M 0 52 R D 13067 6706 M 0 52 R D +13189 6706 M 0 52 R D 13292 6706 M 0 52 R D 13381 6706 M 0 52 R D +13459 6706 M 0 52 R D 13992 6706 M 0 52 R D 14262 6706 M 0 52 R D +14454 6706 M 0 52 R D 14602 6706 M 0 52 R D 14724 6706 M 0 52 R D +14827 6706 M 0 52 R D 14916 6706 M 0 52 R D 14994 6706 M 0 52 R D +15526 6706 M 0 52 R D 15797 6706 M 0 52 R D 15989 6706 M 0 52 R D +16137 6706 M 0 52 R D 16259 6706 M 0 52 R D 16362 6706 M 0 52 R D +16451 6706 M 0 52 R D 16529 6706 M 0 52 R D 17061 6706 M 0 52 R D +17332 6706 M 0 52 R D gsave 13896 5710 translate 0 0 M 1.01 dup scale +-58.8433 0 N +( ) show grestore 10460 11989 M 6872 0 R D 10460 11989 M 0 -106 R D +11995 11989 M 0 -106 R D 13529 11989 M 0 -106 R D 15064 11989 M 0 -106 R D +16599 11989 M 0 -106 R D 10922 11989 M 0 -53 R D 11192 11989 M 0 -53 R D +11384 11989 M 0 -53 R D 11532 11989 M 0 -53 R D 11654 11989 M 0 -53 R D +11757 11989 M 0 -53 R D 11846 11989 M 0 -53 R D 11924 11989 M 0 -53 R D +12457 11989 M 0 -53 R D 12727 11989 M 0 -53 R D 12919 11989 M 0 -53 R D +13067 11989 M 0 -53 R D 13189 11989 M 0 -53 R D 13292 11989 M 0 -53 R D +13381 11989 M 0 -53 R D 13459 11989 M 0 -53 R D 13992 11989 M 0 -53 R D +14262 11989 M 0 -53 R D 14454 11989 M 0 -53 R D 14602 11989 M 0 -53 R D +14724 11989 M 0 -53 R D 14827 11989 M 0 -53 R D 14916 11989 M 0 -53 R D +14994 11989 M 0 -53 R D 15526 11989 M 0 -53 R D 15797 11989 M 0 -53 R D +15989 11989 M 0 -53 R D 16137 11989 M 0 -53 R D 16259 11989 M 0 -53 R D +16362 11989 M 0 -53 R D 16451 11989 M 0 -53 R D 16529 11989 M 0 -53 R D +17061 11989 M 0 -53 R D 17332 11989 M 0 -53 R D 10460 6706 M 0 5283 R D +10460 8426 M 137 0 R D gsave 10348 8284 translate 0 0 M 1.01 dup scale +-706.12 0 N +(500) show grestore 10460 10147 M 137 0 R D +gsave 10348 10005 translate 0 0 M 1.01 dup scale -941.493 0 N +(1000) show grestore 10460 11868 M 137 0 R D +gsave 10348 11726 translate 0 0 M 1.01 dup scale -941.493 0 N +(2000) show grestore gsave 9061 9347 translate 0 0 M 90 rotate +1.01 dup scale -897.979 0 N +(t) show CP X 192.937 M +%%IncludeResource: font Symbol +262.467 /Symbol STDFONT +(*) show M X -95.92 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(Q ) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( \(Myr\)) show grestore 17332 6706 M 0 5283 R D 17332 8426 M -138 0 R D +17332 10147 M -138 0 R D 17332 11868 M -138 0 R D 10 setlinewidth +11033 10916 M -1 14 R -3 15 R -5 13 R -6 13 R -8 12 R -10 11 R -11 10 R +-12 8 R -13 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+262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\)) show grestore 10460 6706 M 6872 0 R D 10460 6706 M 0 -106 R D +11995 6706 M 0 -106 R D 13529 6706 M 0 -106 R D 15064 6706 M 0 -106 R D +16599 6706 M 0 -106 R D 10922 6706 M 0 -53 R D 11192 6706 M 0 -53 R D +11384 6706 M 0 -53 R D 11532 6706 M 0 -53 R D 11654 6706 M 0 -53 R D +11757 6706 M 0 -53 R D 11846 6706 M 0 -53 R D 11924 6706 M 0 -53 R D +12457 6706 M 0 -53 R D 12727 6706 M 0 -53 R D 12919 6706 M 0 -53 R D +13067 6706 M 0 -53 R D 13189 6706 M 0 -53 R D 13292 6706 M 0 -53 R D +13381 6706 M 0 -53 R D 13459 6706 M 0 -53 R D 13992 6706 M 0 -53 R D +14262 6706 M 0 -53 R D 14454 6706 M 0 -53 R D 14602 6706 M 0 -53 R D +14724 6706 M 0 -53 R D 14827 6706 M 0 -53 R D 14916 6706 M 0 -53 R D +14994 6706 M 0 -53 R D 15526 6706 M 0 -53 R D 15797 6706 M 0 -53 R D +15989 6706 M 0 -53 R D 16137 6706 M 0 -53 R D 16259 6706 M 0 -53 R D +16362 6706 M 0 -53 R D 16451 6706 M 0 -53 R D 16529 6706 M 0 -53 R D +17061 6706 M 0 -53 R D 17332 6706 M 0 -53 R D 10460 1422 M 0 5284 R D +10460 1422 M 137 0 R D gsave 10348 1422 translate 0 0 M 1.01 dup scale +-616.678 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(9) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 10460 2479 M 137 0 R D +gsave 10348 2337 translate 0 0 M 1.01 dup scale -762.61 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(10) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 10460 3536 M 137 0 R D +gsave 10348 3393 translate 0 0 M 1.01 dup scale -762.61 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(11) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 10460 4592 M 137 0 R D +gsave 10348 4450 translate 0 0 M 1.01 dup scale -762.61 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(12) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 10460 5649 M 137 0 R D +gsave 10348 5507 translate 0 0 M 1.01 dup scale -762.61 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(13) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 10460 6706 M 137 0 R D +gsave 10348 6457 translate 0 0 M 1.01 dup scale -762.61 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(14) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 10460 1740 M 68 0 R D 10460 1926 M 68 0 R D +10460 2058 M 68 0 R D 10460 2161 M 68 0 R D 10460 2244 M 68 0 R D +10460 2315 M 68 0 R D 10460 2376 M 68 0 R D 10460 2430 M 68 0 R D +10460 2797 M 68 0 R D 10460 2983 M 68 0 R D 10460 3115 M 68 0 R D +10460 3217 M 68 0 R D 10460 3301 M 68 0 R D 10460 3372 M 68 0 R D +10460 3433 M 68 0 R D 10460 3487 M 68 0 R D 10460 3854 M 68 0 R D +10460 4040 M 68 0 R D 10460 4172 M 68 0 R D 10460 4274 M 68 0 R D +10460 4358 M 68 0 R D 10460 4429 M 68 0 R D 10460 4490 M 68 0 R D +10460 4544 M 68 0 R D 10460 4910 M 68 0 R D 10460 5096 M 68 0 R D +10460 5228 M 68 0 R D 10460 5331 M 68 0 R D 10460 5414 M 68 0 R D +10460 5485 M 68 0 R D 10460 5546 M 68 0 R D 10460 5601 M 68 0 R D +10460 5967 M 68 0 R D 10460 6153 M 68 0 R D 10460 6285 M 68 0 R D +10460 6387 M 68 0 R D 10460 6471 M 68 0 R D 10460 6542 M 68 0 R D +10460 6603 M 68 0 R D 10460 6657 M 68 0 R D gsave 9241 4064 translate 0 0 M +90 rotate 1.01 dup scale -742.302 0 N +(L) show CP X 192.937 M +%%IncludeResource: font Symbol +262.467 /Symbol STDFONT +(*) show M X -95.92 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(Q ) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( \(L) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\)) show grestore 17332 1422 M 0 5284 R D 17332 1422 M -138 0 R D +17332 2479 M -138 0 R D 17332 3536 M -138 0 R D 17332 4592 M -138 0 R D +17332 5649 M -138 0 R D 17332 6706 M -138 0 R D 17332 1740 M -69 0 R D +17332 1926 M -69 0 R D 17332 2058 M -69 0 R D 17332 2161 M -69 0 R D +17332 2244 M -69 0 R D 17332 2315 M -69 0 R D 17332 2376 M -69 0 R D +17332 2430 M -69 0 R D 17332 2797 M -69 0 R D 17332 2983 M -69 0 R D +17332 3115 M -69 0 R D 17332 3217 M -69 0 R D 17332 3301 M -69 0 R D +17332 3372 M -69 0 R D 17332 3433 M -69 0 R D 17332 3487 M -69 0 R D +17332 3854 M -69 0 R D 17332 4040 M -69 0 R D 17332 4172 M -69 0 R D +17332 4274 M -69 0 R D 17332 4358 M -69 0 R D 17332 4429 M -69 0 R D +17332 4490 M -69 0 R D 17332 4544 M -69 0 R D 17332 4910 M -69 0 R D +17332 5096 M -69 0 R D 17332 5228 M -69 0 R D 17332 5331 M -69 0 R D +17332 5414 M -69 0 R D 17332 5485 M -69 0 R D 17332 5546 M -69 0 R D +17332 5601 M -69 0 R D 17332 5967 M -69 0 R D 17332 6153 M -69 0 R D +17332 6285 M -69 0 R D 17332 6387 M -69 0 R D 17332 6471 M -69 0 R D +17332 6542 M -69 0 R D 17332 6603 M -69 0 R D 17332 6657 M -69 0 R D +10 setlinewidth 11033 2041 M -1 15 R -3 14 R -5 14 R -6 13 R -8 12 R +-10 11 R -11 9 R -12 8 R -13 7 R -14 4 R -14 3 R -14 1 R -15 -1 R -14 -3 R +-14 -4 R -13 -7 R -12 -8 R -11 -9 R -9 -11 R -8 -12 R -7 -13 R -5 -14 R +-2 -14 R -1 -15 R 1 -14 R 2 -15 R 5 -13 R 7 -13 R 8 -12 R 9 -11 R 11 -10 R +12 -8 R 13 -6 R 14 -5 R 14 -3 R 15 -1 R 14 1 R 14 3 R 14 5 R 13 6 R 12 8 R +11 10 R 10 11 R 8 12 R 6 13 R 5 13 R 3 15 R 1 14 R D 11367 2198 M -1 15 R +-3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 9 R -12 8 R -13 7 R -14 4 R +-14 3 R -14 1 R -15 -1 R -14 -3 R -14 -4 R -13 -7 R -12 -8 R -11 -9 R +-10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R 0 -15 R 0 -14 R 3 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12368 2938 M -1 14 R -3 14 R -4 14 R -7 13 R -8 12 R +-10 11 R -10 10 R -13 8 R -13 6 R -13 5 R -15 3 R -14 1 R -15 -1 R -14 -3 R +-14 -5 R -13 -6 R -12 -8 R -11 -10 R -9 -11 R -8 -12 R -7 -13 R -4 -14 R +-3 -14 R -1 -14 R 1 -15 R 3 -14 R 4 -14 R 7 -13 R 8 -12 R 9 -11 R 11 -10 R +12 -8 R 13 -6 R 14 -5 R 14 -2 R 15 -1 R 14 1 R 15 2 R 13 5 R 13 6 R 13 8 R +10 10 R 10 11 R 8 12 R 7 13 R 4 14 R 3 14 R 1 15 R D 12702 3194 M -1 14 R +-3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 10 R -12 8 R -13 6 R -13 5 R +-15 3 R -14 1 R -15 -1 R -14 -3 R -14 -5 R -13 -6 R -12 -8 R -11 -10 R +-9 -11 R -8 -12 R -7 -13 R -4 -14 R -3 -14 R -1 -14 R 1 -15 R 3 -14 R +4 -14 R 7 -13 R 8 -12 R 9 -11 R 11 -9 R 12 -9 R 13 -6 R 14 -5 R 14 -2 R +15 -1 R 14 1 R 15 2 R 13 5 R 13 6 R 12 9 R 11 9 R 10 11 R 8 12 R 6 13 R +5 14 R 3 14 R 1 15 R D 13036 3360 M -1 15 R -3 14 R -5 14 R -6 13 R -8 12 R +-10 11 R -11 9 R -12 8 R -13 7 R -14 4 R -14 3 R -14 1 R -15 -1 R -14 -3 R +-14 -4 R -13 -7 R -12 -8 R -11 -9 R -9 -11 R -9 -12 R -6 -13 R -5 -14 R +-2 -14 R -1 -15 R 1 -14 R 2 -15 R 5 -13 R 6 -13 R 9 -12 R 9 -11 R 11 -10 R +12 -8 R 13 -6 R 14 -5 R 14 -3 R 15 -1 R 14 1 R 14 3 R 14 5 R 13 6 R 12 8 R +11 10 R 10 11 R 8 12 R 6 13 R 5 13 R 3 15 R 1 14 R D 13369 3704 M -1 15 R +-2 14 R -5 14 R -6 13 R -9 12 R -9 11 R -11 10 R -12 8 R -13 6 R -14 5 R +-14 3 R -15 0 R -14 0 R -14 -3 R -14 -5 R -13 -6 R -12 -8 R -11 -10 R +-10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R -1 -15 R 1 -14 R 3 -14 R +5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -10 R 12 -8 R 13 -6 R 14 -5 R 14 -3 R +14 -1 R 15 1 R 14 3 R 14 5 R 13 6 R 12 8 R 11 10 R 9 11 R 9 12 R 6 13 R +5 14 R 2 14 R 1 14 R D 13703 3894 M -1 15 R -3 14 R -4 14 R -7 13 R -8 12 R +-9 11 R -11 10 R -12 8 R -13 6 R -14 5 R -14 3 R -15 0 R -14 0 R -14 -3 R +-14 -5 R -13 -6 R -12 -8 R -11 -10 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R +-3 -14 R -1 -15 R 1 -14 R 3 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -10 R +12 -8 R 13 -6 R 14 -5 R 14 -3 R 14 -1 R 15 1 R 14 3 R 14 5 R 13 6 R 12 8 R +11 10 R 9 11 R 8 12 R 7 13 R 4 14 R 3 14 R 1 14 R D 14037 4130 M -1 14 R +-3 14 R -4 14 R -7 13 R -8 12 R -9 11 R -11 10 R -12 8 R -13 6 R -14 5 R +-14 3 R -15 1 R -14 -1 R -15 -3 R -13 -5 R -13 -6 R -13 -8 R -10 -10 R +-10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R -1 -14 R 1 -15 R 3 -14 R +5 -14 R 6 -13 R 8 -12 R 10 -11 R 10 -9 R 13 -9 R 13 -6 R 13 -5 R 15 -2 R +14 -1 R 15 1 R 14 2 R 14 5 R 13 6 R 12 9 R 11 9 R 9 11 R 8 12 R 7 13 R +4 14 R 3 14 R 1 15 R D 14371 4424 M -1 15 R -3 14 R -5 14 R -6 13 R -8 12 R +-10 11 R -11 9 R -12 8 R -13 7 R -13 5 R -15 2 R -14 1 R -15 -1 R -14 -2 R +-14 -5 R -13 -7 R -12 -8 R -11 -9 R -9 -11 R -8 -12 R -7 -13 R -4 -14 R +-3 -14 R -1 -15 R 1 -14 R 3 -14 R 4 -14 R 7 -13 R 8 -12 R 9 -11 R 11 -10 R +12 -8 R 13 -6 R 14 -5 R 14 -3 R 15 -1 R 14 1 R 15 3 R 13 5 R 13 6 R 12 8 R +11 10 R 10 11 R 8 12 R 6 13 R 5 14 R 3 14 R 1 14 R D 14705 4674 M -1 15 R +-3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 10 R -12 8 R -13 6 R -14 5 R +-14 3 R -14 0 R -15 0 R -14 -3 R -14 -5 R 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15 1 R 14 3 R 14 5 R 13 6 R 12 8 R 11 10 R 9 11 R 8 12 R 7 13 R +5 13 R 2 15 R 1 14 R D 15706 5386 M -1 15 R -3 14 R -4 14 R -7 13 R -8 12 R +-9 11 R -11 9 R -12 8 R -13 7 R -14 4 R -14 3 R -15 1 R -14 -1 R -15 -3 R +-13 -4 R -13 -7 R -12 -8 R -11 -9 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R +-3 -14 R -1 -15 R 1 -14 R 3 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -10 R +12 -8 R 13 -6 R 13 -5 R 15 -3 R 14 -1 R 15 1 R 14 3 R 14 5 R 13 6 R 12 8 R +11 10 R 9 11 R 8 12 R 7 13 R 4 14 R 3 14 R 1 14 R D 16040 5540 M -1 15 R +-3 14 R -4 14 R -7 13 R -8 12 R -10 11 R -10 9 R -13 8 R -13 7 R -13 4 R +-15 3 R -14 1 R -14 -1 R -15 -3 R -13 -4 R -14 -7 R -12 -8 R -10 -9 R +-10 -11 R -8 -12 R -7 -13 R -4 -14 R -3 -14 R -1 -15 R 1 -14 R 3 -15 R +4 -13 R 7 -13 R 8 -12 R 10 -11 R 10 -10 R 12 -8 R 14 -6 R 13 -5 R 15 -3 R +14 -1 R 14 1 R 15 3 R 13 5 R 13 6 R 13 8 R 10 10 R 10 11 R 8 12 R 7 13 R +4 13 R 3 15 R 1 14 R D 16374 5860 M -1 14 R -3 14 R -5 14 R -6 13 R -8 12 R +-10 11 R -11 10 R -12 8 R -13 6 R -13 5 R -15 3 R -14 1 R -15 -1 R -14 -3 R +-14 -5 R -13 -6 R -12 -8 R -11 -10 R -9 -11 R -8 -12 R -7 -13 R -4 -14 R +-3 -14 R -1 -14 R 1 -15 R 3 -14 R 4 -14 R 7 -13 R 8 -12 R 9 -11 R 11 -9 R +12 -8 R 13 -7 R 14 -5 R 14 -2 R 15 -1 R 14 1 R 15 2 R 13 5 R 13 7 R 12 8 R +11 9 R 10 11 R 8 12 R 6 13 R 5 14 R 3 14 R 1 15 R D 16708 5990 M -1 15 R +-3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 9 R -12 8 R -13 7 R -14 4 R +-14 3 R -14 1 R -15 -1 R -14 -3 R -14 -4 R -13 -7 R -12 -8 R -11 -9 R +-9 -11 R -8 -12 R -7 -13 R -5 -14 R -2 -14 R -1 -15 R 1 -14 R 2 -15 R +5 -13 R 7 -13 R 8 -12 R 9 -11 R 11 -10 R 12 -8 R 13 -6 R 14 -5 R 14 -3 R +15 -1 R 14 1 R 14 3 R 14 5 R 13 6 R 12 8 R 11 10 R 10 11 R 8 12 R 6 13 R +5 13 R 3 15 R 1 14 R D 17041 6457 M 0 14 R -3 14 R -5 14 R -6 13 R -8 12 R +-10 11 R -11 10 R -12 8 R -13 6 R -14 5 R -14 3 R -15 1 R -14 -1 R -14 -3 R +-14 -5 R -13 -6 R -12 -8 R -11 -10 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R +-3 -14 R -1 -14 R 1 -15 R 3 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -9 R +12 -8 R 13 -7 R 14 -5 R 14 -2 R 14 -1 R 15 1 R 14 2 R 14 5 R 13 7 R 12 8 R +11 9 R 10 11 R 8 12 R 6 13 R 5 14 R 3 14 R 0 15 R D 17331 6545 M -11 8 R +-13 6 R -14 5 R -14 3 R -15 1 R -14 -1 R -14 -3 R -14 -5 R -13 -6 R -12 -8 R +-11 -10 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R -1 -14 R 1 -15 R +3 -14 R 5 -14 R 6 -13 R 8 -12 R 10 -11 R 11 -9 R 12 -8 R 13 -7 R 14 -5 R +14 -2 R 14 -1 R 15 1 R 14 2 R 14 5 R 13 7 R 11 7 R D 20 setlinewidth +10887 1866 M 69 0 R -34 0 R 0 302 R -35 0 R 69 0 R D 11221 2037 M 69 0 R +-34 0 R 0 280 R -35 0 R 69 0 R D 11555 2216 M 69 0 R -35 0 R 0 363 R -34 0 R +69 0 R D 11889 2569 M 69 0 R -35 0 R 0 315 R -34 0 R 69 0 R D 12223 2766 M +68 0 R -34 0 R 0 296 R -34 0 R 68 0 R D 12556 3035 M 69 0 R -34 0 R 0 276 R +-35 0 R 69 0 R D 12890 3214 M 69 0 R -34 0 R 0 257 R -35 0 R 69 0 R D +13224 3512 M 69 0 R -35 0 R 0 328 R -34 0 R 69 0 R D 13558 3735 M 69 0 R +-35 0 R 0 277 R -34 0 R 69 0 R D 13892 3977 M 68 0 R -34 0 R 0 267 R -34 0 R +68 0 R D 14226 4194 M 68 0 R -34 0 R 0 383 R -34 0 R 68 0 R D 14559 4521 M +69 0 R -34 0 R 0 268 R -35 0 R 69 0 R D 14893 4736 M 69 0 R -34 0 R 0 248 R +-35 0 R 69 0 R D 15227 4951 M 69 0 R -35 0 R 0 227 R -34 0 R 69 0 R D +15561 5184 M 69 0 R -35 0 R 0 342 R -34 0 R 69 0 R D 15895 5311 M 68 0 R +-34 0 R 0 382 R -34 0 R 68 0 R D 16228 5389 M 69 0 R -34 0 R 0 698 R -35 0 R +69 0 R D 16562 4242 M 69 0 R -34 0 R 0 2061 R -35 0 R 69 0 R D 16896 5581 M +69 0 R -35 0 R 0 1124 R D 17230 5581 M 69 0 R -35 0 R 0 1124 R D +1.000 0.000 0.000 setrgbcolor 10459 1737 M 1 1 R 153 106 R 154 105 R +153 106 R 154 106 R 153 105 R 154 106 R 153 106 R 154 105 R 153 106 R +154 106 R 153 105 R 154 106 R 153 106 R 154 105 R 153 106 R 154 106 R +153 105 R 153 106 R 154 106 R 153 105 R 154 106 R 153 106 R 154 105 R +153 106 R 154 106 R 153 105 R 154 106 R 153 106 R 154 105 R 153 106 R +154 106 R 153 105 R 154 106 R 153 106 R 154 105 R 153 106 R 154 106 R +153 105 R 154 106 R 153 106 R 154 105 R 153 106 R 154 106 R 153 105 R +118 81 R D +%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%+ font Symbol +%%+ font AvantGarde-Book +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%+ font Symbol +%%+ font AvantGarde-Book +%%EOF diff --git a/feedback/papers/0506398/f6.ps b/feedback/papers/0506398/f6.ps new file mode 100644 index 0000000..bb3a3f1 --- /dev/null +++ b/feedback/papers/0506398/f6.ps @@ -0,0 +1,1160 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 558 720 +%%Title: Graphics produced by IDL +%%For: phopkins@zeus, /home/phopkins/lars_project/utils +%%Creator: IDL Version 6.1.1 (linux x86 m32) +%%CreationDate: Wed Jun 1 23:53:19 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2004 Research Systems, Inc. All Rights Reserved. +%v 5 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef /MITERLIMIT { 2.5 setmiterlimit } bdef end +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 558 720 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale MITERLIMIT +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 2242 8467 M 7433 0 R D +2242 8467 M 0 70 R D gsave 2242 7933 translate 0 0 M 1.01 dup scale +-58.8433 0 N +( ) show grestore 3758 8467 M 0 70 R D gsave 3758 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 5274 8467 M 0 70 R D gsave 5274 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 6790 8467 M 0 70 R D gsave 6790 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 8306 8467 M 0 70 R D gsave 8306 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 2699 8467 M 0 35 R D 2966 8467 M 0 35 R D 3155 8467 M +0 35 R D 3302 8467 M 0 35 R D 3422 8467 M 0 35 R D 3523 8467 M 0 35 R D +3611 8467 M 0 35 R D 3689 8467 M 0 35 R D 4215 8467 M 0 35 R D 4481 8467 M +0 35 R D 4671 8467 M 0 35 R D 4818 8467 M 0 35 R D 4938 8467 M 0 35 R D +5039 8467 M 0 35 R D 5127 8467 M 0 35 R D 5205 8467 M 0 35 R D 5730 8467 M +0 35 R D 5997 8467 M 0 35 R D 6187 8467 M 0 35 R D 6334 8467 M 0 35 R D +6454 8467 M 0 35 R D 6555 8467 M 0 35 R D 6643 8467 M 0 35 R D 6721 8467 M +0 35 R D 7246 8467 M 0 35 R D 7513 8467 M 0 35 R D 7703 8467 M 0 35 R D +7850 8467 M 0 35 R D 7970 8467 M 0 35 R D 8071 8467 M 0 35 R D 8159 8467 M +0 35 R D 8237 8467 M 0 35 R D 8762 8467 M 0 35 R D 9029 8467 M 0 35 R D +9219 8467 M 0 35 R D 9365 8467 M 0 35 R D 9485 8467 M 0 35 R D 9587 8467 M +0 35 R D 9675 8467 M 0 35 R D 2242 11989 M 7433 0 R D 2242 11989 M 0 -70 R D +3758 11989 M 0 -70 R D 5274 11989 M 0 -70 R D 6790 11989 M 0 -70 R D +8306 11989 M 0 -70 R D 2699 11989 M 0 -35 R D 2966 11989 M 0 -35 R D +3155 11989 M 0 -35 R D 3302 11989 M 0 -35 R D 3422 11989 M 0 -35 R D +3523 11989 M 0 -35 R D 3611 11989 M 0 -35 R D 3689 11989 M 0 -35 R D +4215 11989 M 0 -35 R D 4481 11989 M 0 -35 R D 4671 11989 M 0 -35 R D +4818 11989 M 0 -35 R D 4938 11989 M 0 -35 R D 5039 11989 M 0 -35 R D +5127 11989 M 0 -35 R D 5205 11989 M 0 -35 R D 5730 11989 M 0 -35 R D +5997 11989 M 0 -35 R D 6187 11989 M 0 -35 R D 6334 11989 M 0 -35 R D +6454 11989 M 0 -35 R D 6555 11989 M 0 -35 R D 6643 11989 M 0 -35 R D +6721 11989 M 0 -35 R D 7246 11989 M 0 -35 R D 7513 11989 M 0 -35 R D +7703 11989 M 0 -35 R D 7850 11989 M 0 -35 R D 7970 11989 M 0 -35 R D +8071 11989 M 0 -35 R D 8159 11989 M 0 -35 R D 8237 11989 M 0 -35 R D +8762 11989 M 0 -35 R D 9029 11989 M 0 -35 R D 9219 11989 M 0 -35 R D +9365 11989 M 0 -35 R D 9485 11989 M 0 -35 R D 9587 11989 M 0 -35 R D +9675 11989 M 0 -35 R D 2242 8467 M 0 3522 R D 2242 8665 M 149 0 R D +gsave 2130 8522 translate 0 0 M 1.01 dup scale -470.747 0 N +(10) show grestore 2242 9942 M 149 0 R D gsave 2130 9800 translate 0 0 M +1.01 dup scale -706.12 0 N +(100) show grestore 2242 11220 M 149 0 R D gsave 2130 11078 translate 0 0 M +1.01 dup scale -941.493 0 N +(1000) show grestore 2242 8467 M 75 0 R D 2242 8541 M 75 0 R D 2242 8606 M +75 0 R D 2242 9049 M 75 0 R D 2242 9274 M 75 0 R D 2242 9434 M 75 0 R D +2242 9558 M 75 0 R D 2242 9659 M 75 0 R D 2242 9744 M 75 0 R D 2242 9818 M +75 0 R D 2242 9884 M 75 0 R D 2242 10327 M 75 0 R D 2242 10552 M 75 0 R D +2242 10711 M 75 0 R D 2242 10835 M 75 0 R D 2242 10936 M 75 0 R D +2242 11022 M 75 0 R D 2242 11096 M 75 0 R D 2242 11161 M 75 0 R D +2242 11604 M 75 0 R D 2242 11829 M 75 0 R D 2242 11989 M 75 0 R D +9675 8467 M 0 3522 R D 9675 8665 M -149 0 R D 9675 9942 M -149 0 R D +9675 11220 M -149 0 R D 9675 8467 M -74 0 R D 9675 8541 M -74 0 R D +9675 8606 M -74 0 R D 9675 9049 M -74 0 R D 9675 9274 M -74 0 R D +9675 9434 M -74 0 R D 9675 9558 M -74 0 R D 9675 9659 M -74 0 R D +9675 9744 M -74 0 R D 9675 9818 M -74 0 R D 9675 9884 M -74 0 R D +9675 10327 M -74 0 R D 9675 10552 M -74 0 R D 9675 10711 M -74 0 R D +9675 10835 M -74 0 R D 9675 10936 M -74 0 R D 9675 11022 M -74 0 R D +9675 11096 M -74 0 R D 9675 11161 M -74 0 R D 9675 11604 M -74 0 R D +9675 11829 M -74 0 R D 9675 11989 M -74 0 R D 20 setlinewidth 2242 11371 M +111 0 R -111 0 R 0 111 R 0 -222 R D 2242 11371 M Z 2283 11371 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 2242 11371 M 152 0 R D 2434 11371 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 2394 11371 M 151 0 R D 2586 11361 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 2545 11371 M 152 -10 R D 2738 11268 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 2697 11361 M 152 -93 R D 2889 11239 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 2849 11268 M 151 -29 R D 3041 11178 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 3000 11239 M 152 -61 R D 3192 11178 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 3152 11178 M 151 0 R D 3344 11173 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 3303 11178 M 152 -5 R D 3496 11160 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 3455 11173 M 152 -13 R D 3647 11116 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 3607 11160 M 151 -44 R D 3799 11108 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 3758 11116 M 152 -8 R D 3950 11091 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 3910 11108 M 151 -17 R D 4102 11080 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 4061 11091 M 152 -11 R D 4254 11075 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 4213 11080 M 152 -5 R D 4405 11070 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 4365 11075 M 151 -5 R D 4557 11067 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 4516 11070 M 152 -3 R D 4708 11064 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 4668 11067 M 151 -3 R D 4860 11059 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 4819 11064 M 152 -5 R D 5011 10997 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 4971 11059 M 151 -62 R D 5163 10909 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 5122 10997 M 152 -88 R D 5315 10783 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 5274 10909 M 152 -126 R D 5466 10633 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 5426 10783 M 151 -150 R D 5618 10561 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 5577 10633 M 152 -72 R D 5769 10481 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 5729 10561 M 151 -80 R D 5921 10370 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 5880 10481 M 152 -111 R D 6073 10266 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 6032 10370 M 152 -104 R D 6224 10176 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 6184 10266 M 151 -90 R D 6376 9954 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 6335 10176 M 152 -222 R D 6527 9753 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 6487 9954 M 151 -201 R D 6679 9444 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 6638 9753 M 152 -309 R D 6831 8884 M 222 0 R +-111 0 R 0 111 R 0 -222 R D 6790 9444 M 152 -560 R D 7093 8466 M 0 27 R +0 -27 R D 6942 8884 M 125 -418 R D 1.000 0.000 0.000 setrgbcolor +2242 11720 M 111 -111 R -111 -111 R D 2242 11720 M Z 2242 11609 M Z +2394 11697 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 2242 11609 M +152 -23 R D 2545 11673 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +2394 11586 M 151 -24 R D 2697 11649 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 2545 11562 M 152 -24 R D 2849 11623 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 2697 11538 M 152 -26 R D 3000 11596 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 2849 11512 M 151 -27 R D 3152 11567 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 3000 11485 M 152 -29 R D +3303 11537 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 3152 11456 M +151 -30 R D 3455 11505 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +3303 11426 M 152 -32 R D 3607 11472 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 3455 11394 M 152 -33 R D 3758 11436 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 3607 11361 M 151 -36 R D 3910 11399 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 3758 11325 M 152 -37 R D 4061 11358 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 3910 11288 M 151 -41 R D +4213 11315 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 4061 11247 M +152 -43 R D 4365 11269 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +4213 11204 M 152 -46 R D 4516 11219 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 4365 11158 M 151 -50 R D 4668 11165 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 4516 11108 M 152 -54 R D 4819 11106 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 4668 11054 M 151 -59 R D 4971 11041 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 4819 10995 M 152 -65 R D +5122 10970 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 4971 10930 M +151 -71 R D 5274 10892 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +5122 10859 M 152 -78 R D 5426 10805 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 5274 10781 M 152 -87 R D 5577 10707 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 5426 10694 M 151 -98 R D 5729 10597 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 5577 10596 M 152 -110 R D 5880 10472 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 5729 10486 M 151 -125 R D +6032 10330 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 5880 10361 M +152 -142 R D 6184 10166 M 111 -111 R -111 -111 R -111 111 R 111 111 R D +6032 10219 M 152 -164 R D 6335 9976 M 111 -111 R -111 -111 R -111 111 R +111 111 R D 6184 10055 M 151 -190 R D 6487 9755 M 111 -111 R -111 -111 R +-111 111 R 111 111 R D 6335 9865 M 152 -221 R D 6638 9494 M 111 -111 R +-111 -111 R -111 111 R 111 111 R D 6487 9644 M 151 -261 R D 6790 9186 M +111 -111 R -111 -111 R -111 111 R 111 111 R D 6638 9383 M 152 -308 R D +6942 8818 M 111 -111 R -111 -111 R -111 111 R 111 111 R D 6790 9075 M +152 -368 R 82 -241 R D 0.000 0.000 0.000 setrgbcolor +gsave 5997 12113 translate 0 0 M 1.01 dup scale -976.418 0 N +(No Bulges) show grestore gsave 6334 11321 translate 0 0 M 1.01 dup scale +(M) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(BH) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\(t) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(0) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\) = 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(5) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( M) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show +%%IncludeResource: font Helvetica +186.267 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 15 setlinewidth 9675 8467 M 7432 0 R D +9675 8467 M 0 70 R D gsave 9675 7933 translate 0 0 M 1.01 dup scale +-58.8433 0 N +( ) show grestore 11191 8467 M 0 70 R D gsave 11191 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 12707 8467 M 0 70 R D gsave 12707 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 14223 8467 M 0 70 R D gsave 14223 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 15738 8467 M 0 70 R D gsave 15738 7933 translate 0 0 M +1.01 dup scale -58.8433 0 N +( ) show grestore 10131 8467 M 0 35 R D 10398 8467 M 0 35 R D 10588 8467 M +0 35 R D 10734 8467 M 0 35 R D 10854 8467 M 0 35 R D 10956 8467 M 0 35 R D +11044 8467 M 0 35 R D 11121 8467 M 0 35 R D 11647 8467 M 0 35 R D +11914 8467 M 0 35 R D 12103 8467 M 0 35 R D 12250 8467 M 0 35 R D +12370 8467 M 0 35 R D 12472 8467 M 0 35 R D 12560 8467 M 0 35 R D +12637 8467 M 0 35 R D 13163 8467 M 0 35 R D 13430 8467 M 0 35 R D +13619 8467 M 0 35 R D 13766 8467 M 0 35 R D 13886 8467 M 0 35 R D +13988 8467 M 0 35 R D 14076 8467 M 0 35 R D 14153 8467 M 0 35 R D +14679 8467 M 0 35 R D 14946 8467 M 0 35 R D 15135 8467 M 0 35 R D +15282 8467 M 0 35 R D 15402 8467 M 0 35 R D 15504 8467 M 0 35 R D +15592 8467 M 0 35 R D 15669 8467 M 0 35 R D 16195 8467 M 0 35 R D +16462 8467 M 0 35 R D 16651 8467 M 0 35 R D 16798 8467 M 0 35 R D +16918 8467 M 0 35 R D 17020 8467 M 0 35 R D 17107 8467 M 0 35 R D +9675 11989 M 7432 0 R D 9675 11989 M 0 -70 R D 11191 11989 M 0 -70 R D +12707 11989 M 0 -70 R D 14223 11989 M 0 -70 R D 15738 11989 M 0 -70 R D +10131 11989 M 0 -35 R D 10398 11989 M 0 -35 R D 10588 11989 M 0 -35 R D +10734 11989 M 0 -35 R D 10854 11989 M 0 -35 R D 10956 11989 M 0 -35 R D +11044 11989 M 0 -35 R D 11121 11989 M 0 -35 R D 11647 11989 M 0 -35 R D +11914 11989 M 0 -35 R D 12103 11989 M 0 -35 R D 12250 11989 M 0 -35 R D +12370 11989 M 0 -35 R D 12472 11989 M 0 -35 R D 12560 11989 M 0 -35 R D +12637 11989 M 0 -35 R D 13163 11989 M 0 -35 R D 13430 11989 M 0 -35 R D +13619 11989 M 0 -35 R D 13766 11989 M 0 -35 R D 13886 11989 M 0 -35 R D +13988 11989 M 0 -35 R D 14076 11989 M 0 -35 R D 14153 11989 M 0 -35 R D +14679 11989 M 0 -35 R D 14946 11989 M 0 -35 R D 15135 11989 M 0 -35 R D +15282 11989 M 0 -35 R D 15402 11989 M 0 -35 R D 15504 11989 M 0 -35 R D +15592 11989 M 0 -35 R D 15669 11989 M 0 -35 R D 16195 11989 M 0 -35 R D +16462 11989 M 0 -35 R D 16651 11989 M 0 -35 R D 16798 11989 M 0 -35 R D +16918 11989 M 0 -35 R D 17020 11989 M 0 -35 R D 17107 11989 M 0 -35 R D +9675 8467 M 0 3522 R D 9675 8665 M 149 0 R D gsave 9563 8522 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 9942 M 149 0 R D gsave 9563 9800 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 11220 M 149 0 R D gsave 9563 11078 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 9675 8467 M 74 0 R D 9675 8541 M 74 0 R D 9675 8606 M +74 0 R D 9675 9049 M 74 0 R D 9675 9274 M 74 0 R D 9675 9434 M 74 0 R D +9675 9558 M 74 0 R D 9675 9659 M 74 0 R D 9675 9744 M 74 0 R D 9675 9818 M +74 0 R D 9675 9884 M 74 0 R D 9675 10327 M 74 0 R D 9675 10552 M 74 0 R D +9675 10711 M 74 0 R D 9675 10835 M 74 0 R D 9675 10936 M 74 0 R D +9675 11022 M 74 0 R D 9675 11096 M 74 0 R D 9675 11161 M 74 0 R D +9675 11604 M 74 0 R D 9675 11829 M 74 0 R D 9675 11989 M 74 0 R D +17107 8467 M 0 3522 R D 17107 8665 M -148 0 R D 17107 9942 M -148 0 R D +17107 11220 M -148 0 R D 17107 8467 M -74 0 R D 17107 8541 M -74 0 R D +17107 8606 M -74 0 R D 17107 9049 M -74 0 R D 17107 9274 M -74 0 R D +17107 9434 M -74 0 R D 17107 9558 M -74 0 R D 17107 9659 M -74 0 R D +17107 9744 M -74 0 R D 17107 9818 M -74 0 R D 17107 9884 M -74 0 R D +17107 10327 M -74 0 R D 17107 10552 M -74 0 R D 17107 10711 M -74 0 R D +17107 10835 M -74 0 R D 17107 10936 M -74 0 R D 17107 11022 M -74 0 R D +17107 11096 M -74 0 R D 17107 11161 M -74 0 R D 17107 11604 M -74 0 R D +17107 11829 M -74 0 R D 17107 11989 M -74 0 R D 20 setlinewidth +0.000 0.514 1.000 setrgbcolor 9674 11516 M 112 0 R -111 0 R 0 111 R 0 -222 R +D 9674 11516 M 1 0 R D 9715 11516 M 222 0 R -111 0 R 0 111 R 0 -222 R D +9675 11516 M 151 0 R D 9867 11516 M 222 0 R -111 0 R 0 111 R 0 -222 R D +9826 11516 M 152 0 R D 10019 11516 M 222 0 R -111 0 R 0 111 R 0 -222 R D +9978 11516 M 152 0 R D 10170 11516 M 222 0 R -111 0 R 0 111 R 0 -222 R D +10130 11516 M 151 0 R D 10322 11516 M 222 0 R -111 0 R 0 111 R 0 -222 R D +10281 11516 M 152 0 R D 10473 11510 M 222 0 R -111 0 R 0 111 R 0 -222 R D +10433 11516 M 151 -6 R D 10625 11495 M 222 0 R -111 0 R 0 111 R 0 -222 R D +10584 11510 M 152 -15 R D 10777 11446 M 222 0 R -111 0 R 0 111 R 0 -222 R D +10736 11495 M 152 -49 R D 10928 11388 M 222 0 R -111 0 R 0 111 R 0 -222 R D +10888 11446 M 151 -58 R D 11080 11367 M 222 0 R -111 0 R 0 111 R 0 -222 R D +11039 11388 M 152 -21 R D 11231 11348 M 222 0 R -111 0 R 0 111 R 0 -222 R D +11191 11367 M 151 -19 R D 11383 11343 M 222 0 R -111 0 R 0 111 R 0 -222 R D +11342 11348 M 152 -5 R D 11535 11339 M 222 0 R -111 0 R 0 111 R 0 -222 R D +11494 11343 M 152 -4 R D 11686 11332 M 222 0 R -111 0 R 0 111 R 0 -222 R D +11646 11339 M 151 -7 R D 11838 11322 M 222 0 R -111 0 R 0 111 R 0 -222 R D +11797 11332 M 152 -10 R D 11989 11316 M 222 0 R -111 0 R 0 111 R 0 -222 R D +11949 11322 M 151 -6 R D 12141 11280 M 222 0 R -111 0 R 0 111 R 0 -222 R D +12100 11316 M 152 -36 R D 12292 11217 M 222 0 R -111 0 R 0 111 R 0 -222 R D +12252 11280 M 151 -63 R D 12444 11122 M 222 0 R -111 0 R 0 111 R 0 -222 R D +12403 11217 M 152 -95 R D 12596 10975 M 222 0 R -111 0 R 0 111 R 0 -222 R D +12555 11122 M 152 -147 R D 12747 10766 M 222 0 R -111 0 R 0 111 R 0 -222 R D +12707 10975 M 151 -209 R D 12899 10467 M 222 0 R -111 0 R 0 111 R 0 -222 R D +12858 10766 M 152 -299 R D 13050 10179 M 222 0 R -111 0 R 0 111 R 0 -222 R D +13010 10467 M 151 -288 R D 13202 9896 M 222 0 R -111 0 R 0 111 R 0 -222 R D +13161 10179 M 152 -283 R D 13354 9753 M 222 0 R -111 0 R 0 111 R 0 -222 R D +13313 9896 M 152 -143 R D 13505 9681 M 222 0 R -111 0 R 0 111 R 0 -222 R D +13465 9753 M 151 -72 R D 13657 9637 M 222 0 R -111 0 R 0 111 R 0 -222 R D +13616 9681 M 152 -44 R D 13808 9471 M 222 0 R -111 0 R 0 111 R 0 -222 R D +13768 9637 M 151 -166 R D 13960 9316 M 222 0 R -111 0 R 0 111 R 0 -222 R D +13919 9471 M 152 -155 R D 14112 9087 M 222 0 R -111 0 R 0 111 R 0 -222 R D +14071 9316 M 152 -229 R D 14263 8975 M 222 0 R -111 0 R 0 111 R 0 -222 R D +14223 9087 M 151 -112 R D 14415 8586 M 222 0 R -111 0 R 0 111 R 0 -222 R D +14374 8975 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gsave 9675 889 translate 0 0 M 1.01 dup scale +-308.339 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(8) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 11191 1422 M 0 71 R D +gsave 11191 889 translate 0 0 M 1.01 dup scale -308.339 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(9) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 12707 1422 M 0 71 R D +gsave 12707 889 translate 0 0 M 1.01 dup scale -381.305 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(10) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 14223 1422 M 0 71 R D +gsave 14223 889 translate 0 0 M 1.01 dup scale -381.305 0 N +(10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(11) show grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT 15738 1422 M 0 71 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0 R D 0.000 0.000 0.000 setrgbcolor +gsave 11939 1769 translate 0 0 M 1.01 dup scale +(Simulation) show grestore gsave 13766 4276 translate 0 0 M 1.01 dup scale +(M) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(BH) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\(t) show X -101.051 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(0) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(\) = 10) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(7) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( M) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show +%%IncludeResource: font Helvetica +186.267 /Helvetica STDFONT grestore +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%+ font AvantGarde-Book +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%+ font AvantGarde-Book +%%EOF diff --git a/feedback/papers/0506398/f7.ps b/feedback/papers/0506398/f7.ps new file mode 100644 index 0000000..55da5f7 --- /dev/null +++ b/feedback/papers/0506398/f7.ps @@ -0,0 +1,748 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 558 720 +%%Title: Graphics produced by IDL +%%For: phopkins@net-93286, +%% /Users/phopkins/Documents/lars_galaxies/plots/high_z +%%Creator: IDL Student Edition 6.0, Mac OS X (darwin ppc m32) +%%CreationDate: Mon May 16 05:27:49 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2003 Research Systems, Inc. All Rights Reserved. +%v 4 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint 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R D 5006 11989 M 0 -106 R D 5241 11989 M 0 -106 R D +5433 11989 M 0 -106 R D 5595 11989 M 0 -106 R D 5736 11989 M 0 -106 R D +5860 11989 M 0 -106 R D 6701 11989 M 0 -106 R D 7128 11989 M 0 -106 R D +7431 11989 M 0 -106 R D 7666 11989 M 0 -106 R D 7858 11989 M 0 -106 R D +8020 11989 M 0 -106 R D 8161 11989 M 0 -106 R D 8285 11989 M 0 -106 R D +9126 11989 M 0 -106 R D 1121 1422 M 0 10567 R D 1121 1422 M 162 0 R D +gsave 1009 1422 translate 0 0 M 1.01 dup scale -117.687 0 N +( ) show grestore 1121 3183 M 162 0 R D gsave 1009 3041 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 1121 4944 M 162 0 R D gsave 1009 4802 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 1121 6706 M 162 0 R D gsave 1009 6563 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 1121 8467 M 162 0 R D gsave 1009 8325 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 1121 10228 M 162 0 R D gsave 1009 10086 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 1121 11989 M 162 0 R D gsave 1009 11740 translate 0 0 M +1.01 dup scale -117.687 0 N +( ) show grestore 1121 1774 M 81 0 R D 1121 2127 M 81 0 R D 1121 2479 M +81 0 R D 1121 2831 M 81 0 R D 1121 3536 M 81 0 R D 1121 3888 M 81 0 R D +1121 4240 M 81 0 R D 1121 4592 M 81 0 R D 1121 5297 M 81 0 R D 1121 5649 M +81 0 R D 1121 6001 M 81 0 R D 1121 6353 M 81 0 R D 1121 7058 M 81 0 R D +1121 7410 M 81 0 R D 1121 7762 M 81 0 R D 1121 8115 M 81 0 R D 1121 8819 M +81 0 R D 1121 9171 M 81 0 R D 1121 9523 M 81 0 R D 1121 9876 M 81 0 R D +1121 10580 M 81 0 R D 1121 10932 M 81 0 R D 1121 11285 M 81 0 R D +1121 11637 M 81 0 R D gsave 555 6706 translate 0 0 M 90 rotate +1.01 dup scale -2575.77 0 N +(Probability \(Arbitrary Scale\)) show grestore 9226 1422 M 0 10567 R D +9226 1422 M -162 0 R D 9226 3183 M -162 0 R D 9226 4944 M -162 0 R D +9226 6706 M -162 0 R D 9226 8467 M -162 0 R D 9226 10228 M -162 0 R D +9226 11989 M -162 0 R D 9226 1774 M -81 0 R D 9226 2127 M -81 0 R D +9226 2479 M -81 0 R D 9226 2831 M -81 0 R D 9226 3536 M -81 0 R D +9226 3888 M -81 0 R D 9226 4240 M -81 0 R D 9226 4592 M -81 0 R D +9226 5297 M -81 0 R D 9226 5649 M -81 0 R D 9226 6001 M -81 0 R D +9226 6353 M -81 0 R D 9226 7058 M -81 0 R D 9226 7410 M -81 0 R D +9226 7762 M -81 0 R D 9226 8115 M -81 0 R D 9226 8819 M -81 0 R D +9226 9171 M -81 0 R D 9226 9523 M -81 0 R D 9226 9876 M -81 0 R D +9226 10580 M -81 0 R D 9226 10932 M -81 0 R D 9226 11285 M -81 0 R D +9226 11637 M -81 0 R D 20 setlinewidth 1121 1423 M 111 0 R -111 0 R 0 111 R +0 -112 R D 1374 1424 M 222 0 R -111 0 R 0 111 R 0 -113 R D 1121 1423 M +364 1 R D 1738 1425 M 222 0 R -111 0 R 0 111 R 0 -114 R D 1485 1424 M +364 1 R D 2101 1425 M 222 0 R -111 0 R 0 111 R 0 -114 R D 1849 1425 M +363 0 R D 2465 1427 M 222 0 R -111 0 R 0 111 R 0 -116 R D 2212 1425 M +364 2 R D 2829 1431 M 222 0 R -111 0 R 0 111 R 0 -120 R D 2576 1427 M +364 4 R D 3193 1434 M 222 0 R -111 0 R 0 111 R 0 -123 R D 2940 1431 M +364 3 R D 3556 1444 M 222 0 R -111 0 R 0 111 R 0 -133 R D 3304 1434 M +363 10 R D 3920 1447 M 222 0 R -111 0 R 0 111 R 0 -136 R D 3667 1444 M +364 3 R D 4284 1475 M 222 0 R -111 0 R 0 111 R 0 -164 R D 4031 1447 M +364 28 R D 4648 1485 M 222 0 R -111 0 R 0 111 R 0 -174 R D 4395 1475 M +364 10 R D 5011 1545 M 222 0 R -111 0 R 0 111 R 0 -222 R D 4759 1485 M +363 60 R D 5375 1595 M 222 0 R -111 0 R 0 111 R 0 -222 R D 5122 1545 M +364 50 R D 5739 1736 M 222 0 R -111 0 R 0 111 R 0 -222 R D 5486 1595 M +364 141 R D 6103 1913 M 222 0 R -111 0 R 0 111 R 0 -222 R D 5850 1736 M +364 177 R D 6466 2161 M 222 0 R -111 0 R 0 111 R 0 -222 R D 6214 1913 M +363 248 R D 6830 2795 M 222 0 R -111 0 R 0 111 R 0 -222 R D 6577 2161 M +364 634 R D 7194 3626 M 222 0 R -111 0 R 0 111 R 0 -222 R D 6941 2795 M +364 831 R D 7558 5343 M 222 0 R -111 0 R 0 111 R 0 -222 R D 7305 3626 M +364 1717 R D 7921 7860 M 222 0 R -111 0 R 0 111 R 0 -222 R D 7669 5343 M +363 2517 R D 8285 11635 M 222 0 R -111 0 R 0 111 R 0 -222 R D 8032 7860 M +364 3775 R D 8649 10393 M 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setlinewidth +16181 1422 M -1 15 R -3 14 R -5 14 R -6 13 R -8 12 R -10 11 R -11 9 R +-12 8 R -13 7 R -13 4 R -15 3 R -14 1 R -15 -1 R -14 -3 R -14 -4 R -13 -7 R +-12 -8 R -11 -9 R -9 -11 R -8 -12 R -7 -13 R -4 -14 R -3 -14 R -1 -15 R D +16181 1422 M Z 20 setlinewidth 15518 1422 M 552 0 R D 10 setlinewidth +16732 1422 M -1 15 R -2 14 R -5 14 R -6 13 R -9 12 R -9 11 R -11 9 R -12 8 R +-13 7 R -14 4 R -14 3 R -15 1 R -14 -1 R -14 -3 R -14 -4 R -13 -7 R -12 -8 R +-11 -9 R -10 -11 R -8 -12 R -6 -13 R -5 -14 R -3 -14 R -1 -15 R D +16732 1422 M Z 20 setlinewidth 16070 1422 M 551 0 R D 10 setlinewidth +17284 1422 M -1 15 R -3 14 R -4 14 R -7 13 R -8 12 R -10 11 R -10 9 R +-13 8 R -13 7 R -13 4 R -15 3 R -14 1 R -14 -1 R -15 -3 R -13 -4 R -14 -7 R +-12 -8 R -10 -9 R -10 -11 R -8 -12 R -7 -13 R -4 -14 R -3 -14 R -1 -15 R D +17284 1422 M Z 20 setlinewidth 16621 1422 M 552 0 R 382 0 R D +%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%+ font AvantGarde-Book +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%+ font AvantGarde-Book +%%EOF diff --git a/feedback/papers/0506398/f8.ps b/feedback/papers/0506398/f8.ps new file mode 100644 index 0000000..c7a144c --- /dev/null +++ b/feedback/papers/0506398/f8.ps @@ -0,0 +1,210 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 558 720 +%%Title: Graphics produced by IDL +%%For: phopkins@net-93286, +%% /Users/phopkins/Documents/lars_galaxies/plots/high_z/from_zeus +%%Creator: IDL Student Edition 6.0, Mac OS X (darwin ppc m32) +%%CreationDate: Mon Apr 11 03:37:15 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2003 Research Systems, Inc. All Rights Reserved. +%v 4 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef end 2.5 setmiterlimit +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 558 720 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 1570 1422 M 15762 0 R D +1570 1422 M 0 211 R D gsave 1570 889 translate 0 0 M 1.01 dup scale +-117.687 0 N +(8) show grestore 4435 1422 M 0 211 R D gsave 4435 889 translate 0 0 M +1.01 dup scale -117.687 0 N +(9) show grestore 7301 1422 M 0 211 R D gsave 7301 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(10) show grestore 10167 1422 M 0 211 R D gsave 10167 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(11) show grestore 13033 1422 M 0 211 R D gsave 13033 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(12) show grestore 15899 1422 M 0 211 R D gsave 15899 889 translate 0 0 M +1.01 dup scale -235.373 0 N +(13) show grestore 1856 1422 M 0 106 R D 2143 1422 M 0 106 R D 2429 1422 M +0 106 R D 2716 1422 M 0 106 R D 3003 1422 M 0 106 R D 3289 1422 M 0 106 R D +3576 1422 M 0 106 R D 3862 1422 M 0 106 R D 4149 1422 M 0 106 R D +4722 1422 M 0 106 R D 5009 1422 M 0 106 R D 5295 1422 M 0 106 R D +5582 1422 M 0 106 R D 5868 1422 M 0 106 R D 6155 1422 M 0 106 R D +6442 1422 M 0 106 R D 6728 1422 M 0 106 R D 7015 1422 M 0 106 R D +7588 1422 M 0 106 R D 7874 1422 M 0 106 R D 8161 1422 M 0 106 R D +8448 1422 M 0 106 R D 8734 1422 M 0 106 R D 9021 1422 M 0 106 R D +9307 1422 M 0 106 R D 9594 1422 M 0 106 R D 9881 1422 M 0 106 R D +10454 1422 M 0 106 R D 10740 1422 M 0 106 R D 11027 1422 M 0 106 R D +11313 1422 M 0 106 R D 11600 1422 M 0 106 R D 11887 1422 M 0 106 R D +12173 1422 M 0 106 R D 12460 1422 M 0 106 R D 12746 1422 M 0 106 R D +13319 1422 M 0 106 R D 13606 1422 M 0 106 R D 13893 1422 M 0 106 R D +14179 1422 M 0 106 R D 14466 1422 M 0 106 R D 14752 1422 M 0 106 R D +15039 1422 M 0 106 R D 15326 1422 M 0 106 R D 15612 1422 M 0 106 R D +16185 1422 M 0 106 R D 16472 1422 M 0 106 R D 16758 1422 M 0 106 R D +17045 1422 M 0 106 R D 17332 1422 M 0 106 R D gsave 9451 427 translate 0 0 M +1.01 dup scale -3065.68 0 N +(Log\( Bolometric Luminosity / L) show CP X -101.051 M +%%IncludeResource: font AvantGarde-Book +262.467 /AvantGarde-Book STDFONT +(O) show M X -58.3193 M +%%IncludeResource: font AvantGarde-Book +186.267 /AvantGarde-Book STDFONT +( \267) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( \)) show grestore 1570 11989 M 15762 0 R D 1570 11989 M 0 -211 R D +4435 11989 M 0 -211 R D 7301 11989 M 0 -211 R D 10167 11989 M 0 -211 R D +13033 11989 M 0 -211 R D 15899 11989 M 0 -211 R D 1856 11989 M 0 -106 R D +2143 11989 M 0 -106 R D 2429 11989 M 0 -106 R D 2716 11989 M 0 -106 R D +3003 11989 M 0 -106 R D 3289 11989 M 0 -106 R D 3576 11989 M 0 -106 R D +3862 11989 M 0 -106 R D 4149 11989 M 0 -106 R D 4722 11989 M 0 -106 R D +5009 11989 M 0 -106 R D 5295 11989 M 0 -106 R D 5582 11989 M 0 -106 R D +5868 11989 M 0 -106 R D 6155 11989 M 0 -106 R D 6442 11989 M 0 -106 R D +6728 11989 M 0 -106 R D 7015 11989 M 0 -106 R D 7588 11989 M 0 -106 R D +7874 11989 M 0 -106 R D 8161 11989 M 0 -106 R D 8448 11989 M 0 -106 R D +8734 11989 M 0 -106 R D 9021 11989 M 0 -106 R D 9307 11989 M 0 -106 R D +9594 11989 M 0 -106 R D 9881 11989 M 0 -106 R D 10454 11989 M 0 -106 R D +10740 11989 M 0 -106 R D 11027 11989 M 0 -106 R D 11313 11989 M 0 -106 R D +11600 11989 M 0 -106 R D 11887 11989 M 0 -106 R D 12173 11989 M 0 -106 R D +12460 11989 M 0 -106 R D 12746 11989 M 0 -106 R D 13319 11989 M 0 -106 R D +13606 11989 M 0 -106 R D 13893 11989 M 0 -106 R D 14179 11989 M 0 -106 R D +14466 11989 M 0 -106 R D 14752 11989 M 0 -106 R D 15039 11989 M 0 -106 R D +15326 11989 M 0 -106 R D 15612 11989 M 0 -106 R D 16185 11989 M 0 -106 R D +16472 11989 M 0 -106 R D 16758 11989 M 0 -106 R D 17045 11989 M 0 -106 R D +17332 11989 M 0 -106 R D 1570 1422 M 0 10567 R D 1570 2077 M 315 0 R D +gsave 1458 1935 translate 0 0 M 1.01 dup scale -376.343 0 N +(-8) show grestore 1570 3947 M 315 0 R D gsave 1458 3805 translate 0 0 M +1.01 dup scale -376.343 0 N +(-7) show grestore 1570 5817 M 315 0 R D gsave 1458 5675 translate 0 0 M +1.01 dup scale -376.343 0 N +(-6) show grestore 1570 7687 M 315 0 R D gsave 1458 7545 translate 0 0 M +1.01 dup scale -376.343 0 N +(-5) show grestore 1570 9558 M 315 0 R D gsave 1458 9415 translate 0 0 M +1.01 dup scale -376.343 0 N +(-4) show grestore 1570 11428 M 315 0 R D gsave 1458 11286 translate 0 0 M +1.01 dup scale -376.343 0 N +(-3) show grestore 1570 1516 M 157 0 R D 1570 1703 M 157 0 R D 1570 1890 M +157 0 R D 1570 2264 M 157 0 R D 1570 2451 M 157 0 R D 1570 2638 M 157 0 R D +1570 2825 M 157 0 R D 1570 3012 M 157 0 R D 1570 3199 M 157 0 R D +1570 3386 M 157 0 R D 1570 3573 M 157 0 R D 1570 3760 M 157 0 R D +1570 4134 M 157 0 R D 1570 4321 M 157 0 R D 1570 4508 M 157 0 R D +1570 4695 M 157 0 R D 1570 4882 M 157 0 R D 1570 5069 M 157 0 R D +1570 5256 M 157 0 R D 1570 5443 M 157 0 R D 1570 5630 M 157 0 R D +1570 6004 M 157 0 R D 1570 6191 M 157 0 R D 1570 6378 M 157 0 R D +1570 6565 M 157 0 R D 1570 6752 M 157 0 R D 1570 6939 M 157 0 R D +1570 7126 M 157 0 R D 1570 7313 M 157 0 R D 1570 7500 M 157 0 R D +1570 7874 M 157 0 R D 1570 8062 M 157 0 R D 1570 8249 M 157 0 R D +1570 8436 M 157 0 R D 1570 8623 M 157 0 R D 1570 8810 M 157 0 R D +1570 8997 M 157 0 R D 1570 9184 M 157 0 R D 1570 9371 M 157 0 R D +1570 9745 M 157 0 R D 1570 9932 M 157 0 R D 1570 10119 M 157 0 R D +1570 10306 M 157 0 R D 1570 10493 M 157 0 R D 1570 10680 M 157 0 R D +1570 10867 M 157 0 R D 1570 11054 M 157 0 R D 1570 11241 M 157 0 R D +1570 11615 M 157 0 R D 1570 11802 M 157 0 R D 1570 11989 M 157 0 R D +gsave 741 6706 translate 0 0 M 90 rotate 1.01 dup scale -2423.88 0 N +(Log\( d) show +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(F) show +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( / dlogL \) [Mpc) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-3) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(]) show grestore 17332 1422 M 0 10567 R D 17332 2077 M -316 0 R D +17332 3947 M -316 0 R D 17332 5817 M -316 0 R D 17332 7687 M -316 0 R D +17332 9558 M -316 0 R D 17332 11428 M -316 0 R D 17332 1516 M -158 0 R D +17332 1703 M -158 0 R D 17332 1890 M -158 0 R D 17332 2264 M -158 0 R D +17332 2451 M -158 0 R D 17332 2638 M -158 0 R D 17332 2825 M -158 0 R D +17332 3012 M -158 0 R D 17332 3199 M -158 0 R D 17332 3386 M -158 0 R D +17332 3573 M -158 0 R D 17332 3760 M -158 0 R D 17332 4134 M -158 0 R D +17332 4321 M -158 0 R D 17332 4508 M -158 0 R D 17332 4695 M -158 0 R D +17332 4882 M -158 0 R D 17332 5069 M -158 0 R D 17332 5256 M -158 0 R D +17332 5443 M -158 0 R D 17332 5630 M -158 0 R D 17332 6004 M -158 0 R D +17332 6191 M -158 0 R D 17332 6378 M -158 0 R D 17332 6565 M -158 0 R D +17332 6752 M -158 0 R D 17332 6939 M -158 0 R D 17332 7126 M -158 0 R D +17332 7313 M -158 0 R D 17332 7500 M -158 0 R D 17332 7874 M -158 0 R D +17332 8062 M -158 0 R D 17332 8249 M -158 0 R D 17332 8436 M -158 0 R D +17332 8623 M -158 0 R D 17332 8810 M -158 0 R D 17332 8997 M -158 0 R D +17332 9184 M -158 0 R D 17332 9371 M -158 0 R D 17332 9745 M -158 0 R D +17332 9932 M -158 0 R D 17332 10119 M -158 0 R D 17332 10306 M -158 0 R D +17332 10493 M -158 0 R D 17332 10680 M -158 0 R D 17332 10867 M -158 0 R D +17332 11054 M -158 0 R D 17332 11241 M -158 0 R D 17332 11615 M -158 0 R D +17332 11802 M -158 0 R D 17332 11989 M -158 0 R D 20 setlinewidth +3003 11569 M 286 -109 R 287 -107 R 286 -102 R 287 -100 R 286 -97 R 287 -93 R +287 -89 R 286 -86 R 287 -83 R 286 -78 R 287 -76 R 287 -71 R 286 -68 R +287 -65 R 286 -60 R 287 -58 R 286 -53 R 287 -51 R 287 -47 R 286 -67 R +287 -142 R 286 -142 R 287 -145 R 287 -148 R 286 -151 R 287 -156 R 286 -160 R +287 -168 R 286 -174 R 287 -183 R 287 -193 R 286 -203 R 287 -214 R 286 -224 R +287 -236 R 287 -245 R 286 -256 R 287 -264 R 286 -272 R 287 -279 R 286 -284 R +287 -289 R 287 -293 R 286 -295 R 287 -298 R 286 -300 R 287 -302 R 286 -302 R +287 -303 R D 3003 10946 M 143 0 R 0 -85 R 143 0 R 143 0 R 0 113 R 144 0 R +143 0 R 0 110 R 143 0 R 144 0 R 0 -80 R 143 0 R 143 0 R 0 23 R 143 0 R +144 0 R 0 8 R 143 0 R 143 0 R 0 7 R 144 0 R 143 0 R 0 -127 R 143 0 R 143 0 R +0 -18 R 144 0 R 143 0 R 0 -100 R 143 0 R 144 0 R 0 -186 R 143 0 R 143 0 R +0 -71 R 144 0 R 143 0 R 0 -50 R 143 0 R 143 0 R 0 -142 R 144 0 R 143 0 R +0 -85 R 143 0 R 144 0 R 0 -145 R 143 0 R 143 0 R 0 -100 R 143 0 R 144 0 R +0 -15 R 143 0 R 143 0 R 0 -37 R 144 0 R 143 0 R 0 -86 R 143 0 R 143 0 R +0 22 R 144 0 R 143 0 R 0 -131 R 143 0 R 144 0 R 0 -132 R 143 0 R 143 0 R +0 -201 R 144 0 R 143 0 R 0 -105 R 143 0 R 143 0 R 0 -255 R 144 0 R 143 0 R +0 -109 R 143 0 R 144 0 R 0 -228 R 143 0 R 143 0 R 0 -148 R 143 0 R 144 0 R +0 -187 R 143 0 R 143 0 R 0 -88 R 144 0 R 143 0 R 0 -233 R 143 0 R 143 0 R +0 -256 R 144 0 R 143 0 R 0 -403 R 143 0 R 144 0 R 0 23 R 143 0 R 143 0 R +0 -302 R 144 0 R 143 0 R 0 -371 R 143 0 R 143 0 R 0 -142 R 144 0 R 143 0 R +0 -309 R 143 0 R 144 0 R 0 -258 R 143 0 R 143 0 R 0 -273 R 143 0 R 144 0 R +0 -317 R 143 0 R 143 0 R 0 -365 R 144 0 R 143 0 R 0 -196 R 143 0 R 143 0 R +0 -173 R 144 0 R 143 0 R 0 -276 R 143 0 R 144 0 R 0 -878 R 143 0 R 143 0 R +0 -1075 R 143 0 R 144 0 R 0 -1078 R 143 0 R D 40 setlinewidth 7660 1422 M +0 5071 R 358 0 R 358 0 R 0 -5071 R D 9092 1422 M 0 4828 R 359 0 R 358 0 R +0 -2430 R 358 0 R 358 0 R 0 1711 R 359 0 R 358 0 R 0 -1426 R 358 0 R 358 0 R +0 1952 R 358 0 R 359 0 R 0 -2390 R 358 0 R 358 0 R 0 825 R 358 0 R 359 0 R +0 -2121 R 358 0 R 358 0 R 0 -197 R 358 0 R 359 0 R 0 -654 R 358 0 R 358 0 R +0 885 R 358 0 R D gsave 14466 10867 translate 0 0 M 1.25 dup scale +(z = 0.5) show grestore +%%PageTrailer +end +restore +showpage +%%PageResources: font Helvetica +%%+ font Symbol +%%+ font AvantGarde-Book +%%Trailer +restore +%%Pages: 1 +%%DocumentNeededResources: font Helvetica +%%+ font Symbol +%%+ font AvantGarde-Book +%%EOF diff --git a/feedback/papers/0506398/f9.ps b/feedback/papers/0506398/f9.ps new file mode 100644 index 0000000..4ddd9c9 --- /dev/null +++ b/feedback/papers/0506398/f9.ps @@ -0,0 +1,1110 @@ +%!PS-Adobe-3.0 +%%BoundingBox: 54 360 904 926 +%%Title: Graphics produced by IDL +%%For: phopkins@net-93286, +%% /Users/phopkins/Documents/lars_galaxies/plots/high_z +%%Creator: IDL Student Edition 6.0, Mac OS X (darwin ppc m32) +%%CreationDate: Sun May 15 00:07:55 2005 +%%DocumentData: Clean7bit +%%Requirements: color +%%LanguageLevel: 1 +%%PageOrder: Ascend +%%Pages: (atend) +%%DocumentNeededResources: (atend) +%%EndComments +%%BeginProlog +save +%+ prolog.ps -- Prolog for IDL generated PostScript files +%+ Copyright (c) 1988-2003 Research Systems, Inc. All Rights Reserved. +%v 4 +/$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C +{currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint +stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} +bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show +grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 +setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 +{[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 +100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 +{[400 200] 0 setdash} bdef /STDFONT { findfont exch scalefont setfont } bdef +/ISOFONT { findfont dup length dict begin { 1 index /FID ne {def} {pop pop} +ifelse } forall /Encoding ISOLatin1Encoding def currentdict end /idltmpfont +exch definefont exch scalefont setfont } bdef /ISOBULLET { gsave /Helvetica +findfont exch scalefont setfont (\267) show currentpoint grestore moveto} +bdef end 2.5 setmiterlimit +%%EndProlog +%%Page: 0 1 +%%PageRequirements: color +%%PageResources: (atend) +%%PageOrientation: Portrait +%%PageBoundingBox: 54 360 904 926 +%%BeginPageSetup +save +$IDL_DICT begin 54 360 translate 0.0283465 dup scale +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +%%EndPageSetup +15 setlinewidth L0 0.000 0.000 0.000 setrgbcolor 1776 11408 M 9334 0 R D +2710 11408 M 0 158 R D gsave 2710 10880 translate 0 0 M -117.687 0 N +(9) show grestore 4043 11408 M 0 158 R D gsave 4043 10880 translate 0 0 M +-235.373 0 N +(10) show grestore 5376 11408 M 0 158 R D gsave 5376 10880 translate 0 0 M +-235.373 0 N +(11) show grestore 6710 11408 M 0 158 R D gsave 6710 10880 translate 0 0 M +-235.373 0 N +(12) show grestore 8043 11408 M 0 158 R D gsave 8043 10880 translate 0 0 M +-235.373 0 N +(13) show grestore 9377 11408 M 0 158 R D gsave 9377 10880 translate 0 0 M +-235.373 0 N +(14) show grestore 10710 11408 M 0 158 R D gsave 10710 10880 translate 0 0 M +-235.373 0 N +(15) show grestore 1776 11408 M 0 79 R D 1909 11408 M 0 79 R D 2043 11408 M +0 79 R D 2176 11408 M 0 79 R D 2310 11408 M 0 79 R D 2443 11408 M 0 79 R D +2576 11408 M 0 79 R D 2843 11408 M 0 79 R D 2976 11408 M 0 79 R D +3110 11408 M 0 79 R D 3243 11408 M 0 79 R D 3376 11408 M 0 79 R D +3510 11408 M 0 79 R D 3643 11408 M 0 79 R D 3776 11408 M 0 79 R D +3910 11408 M 0 79 R D 4176 11408 M 0 79 R D 4310 11408 M 0 79 R D +4443 11408 M 0 79 R D 4576 11408 M 0 79 R D 4710 11408 M 0 79 R D +4843 11408 M 0 79 R D 4976 11408 M 0 79 R D 5110 11408 M 0 79 R D +5243 11408 M 0 79 R D 5510 11408 M 0 79 R D 5643 11408 M 0 79 R D +5776 11408 M 0 79 R D 5910 11408 M 0 79 R D 6043 11408 M 0 79 R D +6176 11408 M 0 79 R D 6310 11408 M 0 79 R D 6443 11408 M 0 79 R D +6576 11408 M 0 79 R D 6843 11408 M 0 79 R D 6977 11408 M 0 79 R D +7110 11408 M 0 79 R D 7243 11408 M 0 79 R D 7377 11408 M 0 79 R D +7510 11408 M 0 79 R D 7643 11408 M 0 79 R D 7777 11408 M 0 79 R D +7910 11408 M 0 79 R D 8177 11408 M 0 79 R D 8310 11408 M 0 79 R D +8443 11408 M 0 79 R D 8577 11408 M 0 79 R D 8710 11408 M 0 79 R D +8843 11408 M 0 79 R D 8977 11408 M 0 79 R D 9110 11408 M 0 79 R D +9243 11408 M 0 79 R D 9510 11408 M 0 79 R D 9643 11408 M 0 79 R D +9777 11408 M 0 79 R D 9910 11408 M 0 79 R D 10043 11408 M 0 79 R D +10177 11408 M 0 79 R D 10310 11408 M 0 79 R D 10443 11408 M 0 79 R D +10577 11408 M 0 79 R D 10843 11408 M 0 79 R D 10977 11408 M 0 79 R D +11110 11408 M 0 79 R D 1776 19296 M 9334 0 R D 2710 19296 M 0 -158 R D +4043 19296 M 0 -158 R D 5376 19296 M 0 -158 R D 6710 19296 M 0 -158 R D +8043 19296 M 0 -158 R D 9377 19296 M 0 -158 R D 10710 19296 M 0 -158 R D +1776 19296 M 0 -79 R D 1909 19296 M 0 -79 R D 2043 19296 M 0 -79 R D +2176 19296 M 0 -79 R D 2310 19296 M 0 -79 R D 2443 19296 M 0 -79 R D +2576 19296 M 0 -79 R D 2843 19296 M 0 -79 R D 2976 19296 M 0 -79 R D +3110 19296 M 0 -79 R D 3243 19296 M 0 -79 R D 3376 19296 M 0 -79 R D +3510 19296 M 0 -79 R D 3643 19296 M 0 -79 R D 3776 19296 M 0 -79 R D +3910 19296 M 0 -79 R D 4176 19296 M 0 -79 R D 4310 19296 M 0 -79 R D +4443 19296 M 0 -79 R D 4576 19296 M 0 -79 R D 4710 19296 M 0 -79 R D +4843 19296 M 0 -79 R D 4976 19296 M 0 -79 R D 5110 19296 M 0 -79 R D +5243 19296 M 0 -79 R D 5510 19296 M 0 -79 R D 5643 19296 M 0 -79 R D +5776 19296 M 0 -79 R D 5910 19296 M 0 -79 R D 6043 19296 M 0 -79 R D +6176 19296 M 0 -79 R D 6310 19296 M 0 -79 R D 6443 19296 M 0 -79 R D +6576 19296 M 0 -79 R D 6843 19296 M 0 -79 R D 6977 19296 M 0 -79 R D +7110 19296 M 0 -79 R D 7243 19296 M 0 -79 R D 7377 19296 M 0 -79 R D +7510 19296 M 0 -79 R D 7643 19296 M 0 -79 R D 7777 19296 M 0 -79 R D +7910 19296 M 0 -79 R D 8177 19296 M 0 -79 R D 8310 19296 M 0 -79 R D +8443 19296 M 0 -79 R D 8577 19296 M 0 -79 R D 8710 19296 M 0 -79 R D +8843 19296 M 0 -79 R D 8977 19296 M 0 -79 R D 9110 19296 M 0 -79 R D +9243 19296 M 0 -79 R D 9510 19296 M 0 -79 R D 9643 19296 M 0 -79 R D +9777 19296 M 0 -79 R D 9910 19296 M 0 -79 R D 10043 19296 M 0 -79 R D +10177 19296 M 0 -79 R D 10310 19296 M 0 -79 R D 10443 19296 M 0 -79 R D +10577 19296 M 0 -79 R D 10843 19296 M 0 -79 R D 10977 19296 M 0 -79 R D +11110 19296 M 0 -79 R D 1776 11408 M 0 7888 R D 1776 11408 M 187 0 R D +gsave 1665 11408 translate 0 0 M -611.717 0 N +(-12) show grestore 1776 13104 M 187 0 R D gsave 1665 12964 translate 0 0 M +-611.717 0 N +(-10) show grestore 1776 14801 M 187 0 R D gsave 1665 14660 translate 0 0 M +-376.343 0 N +(-8) show grestore 1776 16497 M 187 0 R D gsave 1665 16356 translate 0 0 M +-376.343 0 N +(-6) show grestore 1776 18193 M 187 0 R D gsave 1665 18053 translate 0 0 M +-376.343 0 N +(-4) show grestore 1776 11832 M 93 0 R D 1776 12256 M 93 0 R D 1776 12680 M +93 0 R D 1776 13529 M 93 0 R D 1776 13953 M 93 0 R D 1776 14377 M 93 0 R D +1776 15225 M 93 0 R D 1776 15649 M 93 0 R D 1776 16073 M 93 0 R D +1776 16921 M 93 0 R D 1776 17345 M 93 0 R D 1776 17769 M 93 0 R D +1776 18618 M 93 0 R D 1776 19042 M 93 0 R D 11110 11408 M 0 7888 R D +11110 11408 M -187 0 R D 11110 13104 M -187 0 R D 11110 14801 M -187 0 R D +11110 16497 M -187 0 R D 11110 18193 M -187 0 R D 11110 11832 M -93 0 R D +11110 12256 M -93 0 R D 11110 12680 M -93 0 R D 11110 13529 M -93 0 R D +11110 13953 M -93 0 R D 11110 14377 M -93 0 R D 11110 15225 M -93 0 R D +11110 15649 M -93 0 R D 11110 16073 M -93 0 R D 11110 16921 M -93 0 R D +11110 17345 M -93 0 R D 11110 17769 M -93 0 R D 11110 18618 M -93 0 R D +11110 19042 M -93 0 R D 3241 18683 M -2 22 R -4 21 R -7 21 R -10 19 R +-12 18 R -14 17 R -16 14 R -19 12 R -19 10 R -21 7 R -21 4 R -22 1 R +-21 -1 R -22 -4 R -20 -7 R -20 -10 R -18 -12 R -16 -14 R -15 -17 R -12 -18 R +-10 -19 R -7 -21 R -4 -21 R -1 -22 R 1 -22 R 4 -21 R 7 -21 R 10 -19 R +12 -19 R 15 -16 R 16 -14 R 18 -12 R 20 -10 R 20 -7 R 22 -4 R 21 -2 R 22 2 R +21 4 R 21 7 R 19 10 R 19 12 R 16 14 R 14 16 R 12 19 R 10 19 R 7 21 R 4 21 R +2 22 R F +4434 18027 M -2 21 R -4 22 R -7 20 R -10 20 R -12 18 R -14 16 R -16 15 R +-18 12 R -20 9 R -21 7 R -21 5 R -22 1 R -21 -1 R -22 -5 R -20 -7 R -20 -9 R +-18 -12 R -16 -15 R -15 -16 R -12 -18 R -10 -20 R -7 -20 R -4 -22 R -1 -21 R +1 -22 R 4 -21 R 7 -21 R 10 -20 R 12 -18 R 15 -16 R 16 -14 R 18 -13 R 20 -9 R +20 -7 R 22 -4 R 21 -2 R 22 2 R 21 4 R 21 7 R 20 9 R 18 13 R 16 14 R 14 16 R +12 18 R 10 20 R 7 21 R 4 21 R 2 22 R F +5243 17867 M -1 22 R -5 21 R -7 21 R -9 19 R -12 18 R -15 17 R -16 14 R +-18 12 R -20 10 R -20 7 R -22 4 R -21 1 R -22 -1 R -22 -4 R -20 -7 R +-20 -10 R -18 -12 R -16 -14 R -15 -17 R -12 -18 R -9 -19 R -7 -21 R -5 -21 R +-1 -22 R 1 -22 R 5 -21 R 7 -21 R 9 -19 R 12 -18 R 15 -17 R 16 -14 R 18 -12 R +20 -10 R 20 -7 R 22 -4 R 22 -2 R 21 2 R 22 4 R 20 7 R 20 10 R 18 12 R +16 14 R 15 17 R 12 18 R 9 19 R 7 21 R 5 21 R 1 22 R F +5698 17434 M -1 22 R -4 21 R -7 21 R -10 19 R -12 18 R -14 17 R -17 14 R +-18 12 R -19 10 R -21 7 R -21 4 R -22 2 R -22 -2 R -21 -4 R -21 -7 R +-19 -10 R -18 -12 R -17 -14 R -14 -17 R -12 -18 R -10 -19 R -7 -21 R +-4 -21 R -2 -22 R 2 -22 R 4 -21 R 7 -21 R 10 -19 R 12 -18 R 14 -17 R +17 -14 R 18 -12 R 19 -10 R 21 -7 R 21 -4 R 22 -1 R 22 1 R 21 4 R 21 7 R +19 10 R 18 12 R 17 14 R 14 17 R 12 18 R 10 19 R 7 21 R 4 21 R 1 22 R F +6385 16918 M -1 22 R -4 21 R -7 21 R -10 19 R -12 18 R -14 17 R -17 14 R +-18 12 R -20 10 R -20 7 R -21 4 R -22 1 R -22 -1 R -21 -4 R -21 -7 R +-19 -10 R -19 -12 R -16 -14 R -14 -17 R -12 -18 R -10 -19 R -7 -21 R +-4 -21 R -2 -22 R 2 -22 R 4 -21 R 7 -21 R 10 -19 R 12 -18 R 14 -17 R +16 -14 R 19 -12 R 19 -10 R 21 -7 R 21 -4 R 22 -2 R 22 2 R 21 4 R 20 7 R +20 10 R 18 12 R 17 14 R 14 17 R 12 18 R 10 19 R 7 21 R 4 21 R 1 22 R F +6996 16573 M -1 22 R -5 21 R -7 21 R -9 19 R -12 18 R -15 17 R -16 14 R +-18 12 R -20 10 R -20 7 R -22 4 R -21 2 R -22 -2 R -22 -4 R -20 -7 R +-20 -10 R -18 -12 R -16 -14 R -15 -17 R -12 -18 R -9 -19 R -7 -21 R -5 -21 R +-1 -22 R 1 -22 R 5 -21 R 7 -21 R 9 -19 R 12 -18 R 15 -17 R 16 -14 R 18 -12 R +20 -10 R 20 -7 R 22 -4 R 22 -1 R 21 1 R 22 4 R 20 7 R 20 10 R 18 12 R +16 14 R 15 17 R 12 18 R 9 19 R 7 21 R 5 21 R 1 22 R F +7634 16087 M -1 22 R -4 21 R -7 21 R -10 20 R -12 18 R -14 16 R -17 14 R +-18 12 R -19 10 R -21 7 R -21 4 R -22 2 R -22 -2 R -21 -4 R -21 -7 R +-19 -10 R -19 -12 R -16 -14 R -14 -16 R -12 -18 R -10 -20 R -7 -21 R +-4 -21 R -2 -22 R 2 -21 R 4 -22 R 7 -20 R 10 -20 R 12 -18 R 14 -16 R +16 -15 R 19 -12 R 19 -10 R 21 -7 R 21 -4 R 22 -1 R 22 1 R 21 4 R 21 7 R +19 10 R 18 12 R 17 15 R 14 16 R 12 18 R 10 20 R 7 20 R 4 22 R 1 21 R F +8623 14809 M -2 22 R -4 21 R -7 21 R -10 20 R -12 18 R -14 16 R -16 14 R +-19 13 R -19 9 R -21 7 R -21 4 R -22 2 R -22 -2 R -21 -4 R -21 -7 R -19 -9 R +-18 -13 R -17 -14 R -14 -16 R -12 -18 R -10 -20 R -7 -21 R -4 -21 R -1 -22 R +1 -21 R 4 -22 R 7 -20 R 10 -20 R 12 -18 R 14 -16 R 17 -15 R 18 -12 R +19 -10 R 21 -7 R 21 -4 R 22 -1 R 22 1 R 21 4 R 21 7 R 19 10 R 19 12 R +16 15 R 14 16 R 12 18 R 10 20 R 7 20 R 4 22 R 2 21 R F +10137 13745 M -2 22 R -4 21 R -7 21 R -10 19 R -12 18 R -14 17 R -16 14 R +-18 12 R -20 10 R -21 7 R -21 4 R -22 2 R -21 -2 R -22 -4 R -20 -7 R +-20 -10 R -18 -12 R -16 -14 R -15 -17 R -12 -18 R -10 -19 R -7 -21 R +-4 -21 R -1 -22 R 1 -22 R 4 -21 R 7 -21 R 10 -19 R 12 -18 R 15 -17 R +16 -14 R 18 -12 R 20 -10 R 20 -7 R 22 -4 R 21 -1 R 22 1 R 21 4 R 21 7 R +20 10 R 18 12 R 16 14 R 14 17 R 12 18 R 10 19 R 7 21 R 4 21 R 2 22 R F +20 setlinewidth 3028 18440 M 93 0 R -47 0 R 0 485 R -46 0 R 93 0 R D +4221 17815 M 93 0 R -47 0 R 0 424 R -46 0 R 93 0 R D 5030 17740 M 93 0 R +-46 0 R 0 254 R -47 0 R 93 0 R D 5485 17307 M 94 0 R -47 0 R 0 254 R -47 0 R +94 0 R D 6172 16791 M 93 0 R -46 0 R 0 254 R -47 0 R 93 0 R D 6783 16392 M +93 0 R -46 0 R 0 363 R -47 0 R 93 0 R D 7421 15906 M 94 0 R -47 0 R 0 363 R +-47 0 R 94 0 R D 8410 14507 M 93 0 R -47 0 R 0 605 R -46 0 R 93 0 R D +9924 13109 M 93 0 R -47 0 R 0 1272 R -46 0 R 93 0 R D 1776 18920 M 67 -10 R +66 -10 R 67 -10 R 67 -11 R 67 -11 R 66 -12 R 67 -12 R 67 -13 R 66 -13 R +67 -13 R 67 -15 R 66 -14 R 67 -15 R 67 -16 R 66 -16 R 67 -16 R 67 -18 R +66 -17 R 67 -19 R 67 -18 R 66 -20 R 67 -20 R 67 -20 R 66 -21 R 67 -22 R +67 -22 R 66 -23 R 67 -24 R 67 -24 R 66 -24 R 67 -26 R 67 -26 R 66 -26 R +67 -28 R 67 -27 R 66 -29 R 67 -29 R 67 -30 R 66 -31 R 67 -31 R 67 -32 R +66 -32 R 67 -33 R 67 -34 R 66 -35 R 67 -35 R 67 -36 R 66 -37 R 67 -37 R +67 -38 R 66 -39 R 67 -39 R 67 -40 R 66 -41 R 67 -42 R 67 -42 R 66 -43 R +67 -44 R 67 -45 R 66 -45 R 67 -46 R 67 -47 R 66 -47 R 67 -48 R 67 -49 R +66 -50 R 67 -50 R 67 -52 R 66 -52 R 67 -52 R 67 -54 R 66 -54 R 67 -55 R +67 -56 R 67 -56 R 66 -58 R 67 -58 R 67 -59 R 66 -59 R 67 -61 R 67 -61 R +66 -62 R 67 -63 R 67 -63 R 66 -65 R 67 -65 R 67 -66 R 66 -66 R 67 -68 R +67 -68 R 66 -69 R 67 -70 R 67 -71 R 66 -71 R 67 -72 R 67 -73 R 66 -74 R +67 -75 R 67 -75 R 66 -76 R 67 -77 R 67 -78 R 66 -79 R 67 -79 R 67 -81 R +66 -81 R 67 -82 R 67 -82 R 66 -84 R 67 -84 R 67 -86 R 66 -85 R 67 -87 R +67 -88 R 66 -88 R 67 -90 R 67 -90 R 66 -91 R 67 -91 R 67 -93 R 66 -93 R +67 -94 R 67 -95 R 66 -96 R 67 -97 R 67 -97 R 66 -99 R 67 -99 R 67 -100 R +66 -100 R 67 -102 R 67 -103 R 66 -103 R 67 -104 R 67 -105 R 66 -106 R +67 -106 R 67 -108 R 13 -22 R D 1.000 0.000 0.000 setrgbcolor 2209 18711 M +0 250 R 250 0 R 0 -250 R -250 0 R F +3185 17797 M 0 250 R 250 0 R 0 -250 R -250 0 R F +4200 17359 M 0 249 R 250 0 R 0 -249 R -250 0 R F +4926 17137 M 0 250 R 250 0 R 0 -250 R -250 0 R F +5586 16782 M 0 250 R 250 0 R 0 -250 R -250 0 R F +6173 16344 M 0 250 R 250 0 R 0 -250 R -250 0 R F +6856 15770 M 0 249 R 250 0 R 0 -249 R -250 0 R F +7636 15069 M 0 249 R 250 0 R 0 -249 R -250 0 R F +8692 13588 M 0 249 R 249 0 R 0 -249 R -249 0 R F +2287 18454 M 94 0 R -47 0 R 0 730 R -47 0 R 94 0 R D 3263 17625 M 94 0 R +-47 0 R 0 577 R -47 0 R 94 0 R D 4279 17212 M 93 0 R -47 0 R 0 534 R -46 0 R +93 0 R D 5005 17042 M 93 0 R -47 0 R 0 441 R -46 0 R 93 0 R D 5664 16678 M +94 0 R -47 0 R 0 450 R -47 0 R 94 0 R D 6252 16240 M 93 0 R -47 0 R 0 449 R +-46 0 R 93 0 R D 6934 15665 M 93 0 R -46 0 R 0 458 R -47 0 R 93 0 R D +7714 14939 M 94 0 R -47 0 R 0 492 R -47 0 R 94 0 R D 8770 12864 M 93 0 R +-46 0 R 0 1425 R -47 0 R 93 0 R D L2 1909 18229 M 67 219 R 67 63 R 67 30 R +66 15 R 67 7 R 67 1 R 66 -2 R 67 -4 R 67 -7 R 66 -9 R 67 -10 R 67 -11 R +66 -13 R 67 -14 R 67 -15 R 66 -16 R 67 -16 R 67 -18 R 66 -18 R 67 -20 R +67 -20 R 66 -20 R 67 -22 R 67 -22 R 66 -23 R 67 -24 R 67 -25 R 66 -25 R +67 -26 R 67 -27 R 66 -28 R 67 -28 R 67 -29 R 66 -30 R 67 -30 R 67 -32 R +66 -32 R 67 -32 R 67 -34 R 66 -34 R 67 -35 R 67 -36 R 66 -36 R 67 -38 R +67 -38 R 66 -38 R 67 -40 R 67 -40 R 66 -41 R 67 -42 R 67 -43 R 66 -43 R +67 -44 R 67 -45 R 66 -46 R 67 -46 R 67 -47 R 66 -48 R 67 -49 R 67 -50 R +66 -50 R 67 -51 R 67 -52 R 66 -53 R 67 -54 R 67 -54 R 66 -55 R 67 -56 R +67 -57 R 66 -58 R 67 -58 R 67 -59 R 67 -61 R 66 -60 R 67 -62 R 67 -63 R +66 -63 R 67 -64 R 67 -65 R 66 -66 R 67 -67 R 67 -67 R 66 -69 R 67 -69 R +67 -70 R 66 -71 R 67 -71 R 67 -73 R 66 -73 R 67 -74 R 67 -75 R 66 -76 R +67 -77 R 67 -78 R 66 -78 R 67 -79 R 67 -80 R 66 -81 R 67 -82 R 67 -83 R +66 -84 R 67 -84 R 67 -85 R 66 -86 R 67 -88 R 67 -87 R 66 -89 R 67 -90 R +67 -90 R 66 -92 R 67 -92 R 67 -93 R 66 -94 R 67 -95 R 67 -95 R 66 -97 R +67 -97 R 67 -99 R 66 -99 R 67 -100 R 67 -101 R 66 -102 R 67 -102 R 67 -104 R +66 -104 R 67 -106 R 67 -106 R 66 -107 R 67 -108 R 67 -109 R 33 -56 R D +0.000 0.000 0.000 setrgbcolor gsave 2376 14207 translate 0 0 M +1.25 dup scale +( z < 0.2) show grestore L3 0.000 0.965 1.000 setrgbcolor 2442 12147 M +1599 0 R D 0.000 0.000 0.000 setrgbcolor gsave 4307 12042 translate 0 0 M +0.9 dup scale +(Broad-line X-ray \(Barger 2005\)) show grestore L1 +0.000 0.282 1.000 setrgbcolor 2442 12570 M 1599 0 R D +0.000 0.000 0.000 setrgbcolor gsave 4307 12464 translate 0 0 M 0.9 dup scale +(B-Band \(Croom 2004\)) show grestore L2 1.000 0.000 0.000 setrgbcolor +2442 12992 M 1599 0 R D 0.000 0.000 0.000 setrgbcolor +gsave 4307 12887 translate 0 0 M 0.9 dup scale +(Soft X-ray \(Miyaji 2001\)) show grestore L0 2442 13415 M 1599 0 R D +gsave 4307 13309 translate 0 0 M 0.9 dup scale +(Hard X-ray \(Ueda 2003\)) show grestore gsave 709 11408 translate 0 0 M +90 rotate 1.5 dup scale -2423.88 0 N +(Log\( d) show +%%IncludeResource: font Symbol +423.333 /Symbol STDFONT +(F) show +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +( / dlogL \) [Mpc) show X 192.937 M +%%IncludeResource: font Helvetica +262.467 /Helvetica STDFONT +(-3) show X 0 M +%%IncludeResource: font Helvetica +423.333 /Helvetica STDFONT +(]) show grestore 15 setlinewidth 11110 11408 M 9334 0 R D 12044 11408 M +0 158 R D gsave 12044 10880 translate 0 0 M -117.687 0 N +(9) show grestore 13377 11408 M 0 158 R D gsave 13377 10880 translate 0 0 M +-235.373 0 N +(10) show grestore 14710 11408 M 0 158 R D gsave 14710 10880 translate 0 0 M +-235.373 0 N +(11) show grestore 16044 11408 M 0 158 R D gsave 16044 10880 translate 0 0 M +-235.373 0 N +(12) show grestore 17377 11408 M 0 158 R D gsave 17377 10880 translate 0 0 M +-235.373 0 N +(13) show grestore 18711 11408 M 0 158 R D gsave 18711 10880 translate 0 0 M +-235.373 0 N +(14) show grestore 20044 11408 M 0 158 R D gsave 20044 10880 translate 0 0 M +-235.373 0 N +(15) show grestore 11110 11408 M 0 79 R D 11243 11408 M 0 79 R D +11377 11408 M 0 79 R D 11510 11408 M 0 79 R D 11644 11408 M 0 79 R D +11777 11408 M 0 79 R D 11910 11408 M 0 79 R D 12177 11408 M 0 79 R D +12310 11408 M 0 79 R D 12444 11408 M 0 79 R D 12577 11408 M 0 79 R D +12710 11408 M 0 79 R D 12844 11408 M 0 79 R D 12977 11408 M 0 79 R D +13110 11408 M 0 79 R D 13244 11408 M 0 79 R D 13510 11408 M 0 79 R D +13644 11408 M 0 79 R D 13777 11408 M 0 79 R D 13910 11408 M 0 79 R D +14044 11408 M 0 79 R D 14177 11408 M 0 79 R D 14310 11408 M 0 79 R D +14444 11408 M 0 79 R D 14577 11408 M 0 79 R D 14844 11408 M 0 79 R D +14977 11408 M 0 79 R D 15110 11408 M 0 79 R D 15244 11408 M 0 79 R D +15377 11408 M 0 79 R D 15510 11408 M 0 79 R D 15644 11408 M 0 79 R D +15777 11408 M 0 79 R D 15910 11408 M 0 79 R D 16177 11408 M 0 79 R D +16311 11408 M 0 79 R D 16444 11408 M 0 79 R D 16577 11408 M 0 79 R D +16711 11408 M 0 79 R D 16844 11408 M 0 79 R D 16977 11408 M 0 79 R D +17111 11408 M 0 79 R D 17244 11408 M 0 79 R D 17511 11408 M 0 79 R D +17644 11408 M 0 79 R D 17777 11408 M 0 79 R D 17911 11408 M 0 79 R D +18044 11408 M 0 79 R D 18177 11408 M 0 79 R D 18311 11408 M 0 79 R D +18444 11408 M 0 79 R D 18577 11408 M 0 79 R D 18844 11408 M 0 79 R D +18977 11408 M 0 79 R D 19111 11408 M 0 79 R D 19244 11408 M 0 79 R D +19377 11408 M 0 79 R D 19511 11408 M 0 79 R D 19644 11408 M 0 79 R D +19777 11408 M 0 79 R D 19911 11408 M 0 79 R D 20177 11408 M 0 79 R D +20311 11408 M 0 79 R D 20444 11408 M 0 79 R D 11110 19296 M 9334 0 R D +12044 19296 M 0 -158 R D 13377 19296 M 0 -158 R D 14710 19296 M 0 -158 R D +16044 19296 M 0 -158 R D 17377 19296 M 0 -158 R D 18711 19296 M 0 -158 R D +20044 19296 M 0 -158 R D 11110 19296 M 0 -79 R D 11243 19296 M 0 -79 R D +11377 19296 M 0 -79 R D 11510 19296 M 0 -79 R D 11644 19296 M 0 -79 R D +11777 19296 M 0 -79 R D 11910 19296 M 0 -79 R D 12177 19296 M 0 -79 R D +12310 19296 M 0 -79 R D 12444 19296 M 0 -79 R D 12577 19296 M 0 -79 R D +12710 19296 M 0 -79 R D 12844 19296 M 0 -79 R D 12977 19296 M 0 -79 R D +13110 19296 M 0 -79 R D 13244 19296 M 0 -79 R D 13510 19296 M 0 -79 R D +13644 19296 M 0 -79 R D 13777 19296 M 0 -79 R D 13910 19296 M 0 -79 R D +14044 19296 M 0 -79 R D 14177 19296 M 0 -79 R D 14310 19296 M 0 -79 R D +14444 19296 M 0 -79 R D 14577 19296 M 0 -79 R D 14844 19296 M 0 -79 R D +14977 19296 M 0 -79 R D 15110 19296 M 0 -79 R D 15244 19296 M 0 -79 R D +15377 19296 M 0 -79 R D 15510 19296 M 0 -79 R D 15644 19296 M 0 -79 R D +15777 19296 M 0 -79 R D 15910 19296 M 0 -79 R D 16177 19296 M 0 -79 R D +16311 19296 M 0 -79 R D 16444 19296 M 0 -79 R D 16577 19296 M 0 -79 R D +16711 19296 M 0 -79 R D 16844 19296 M 0 -79 R D 16977 19296 M 0 -79 R D +17111 19296 M 0 -79 R D 17244 19296 M 0 -79 R D 17511 19296 M 0 -79 R D +17644 19296 M 0 -79 R D 17777 19296 M 0 -79 R D 17911 19296 M 0 -79 R D +18044 19296 M 0 -79 R D 18177 19296 M 0 -79 R D 18311 19296 M 0 -79 R D +18444 19296 M 0 -79 R D 18577 19296 M 0 -79 R D 18844 19296 M 0 -79 R D +18977 19296 M 0 -79 R D 19111 19296 M 0 -79 R D 19244 19296 M 0 -79 R D +19377 19296 M 0 -79 R D 19511 19296 M 0 -79 R D 19644 19296 M 0 -79 R D +19777 19296 M 0 -79 R D 19911 19296 M 0 -79 R D 20177 19296 M 0 -79 R D +20311 19296 M 0 -79 R D 20444 19296 M 0 -79 R D 11110 11408 M 0 7888 R D +11110 11408 M 187 0 R D gsave 10999 11408 translate 0 0 M -117.687 0 N +( ) show grestore 11110 13104 M 187 0 R D gsave 10999 12964 translate 0 0 M +-117.687 0 N +( ) show grestore 11110 14801 M 187 0 R D gsave 10999 14660 translate 0 0 M +-117.687 0 N +( ) show grestore 11110 16497 M 187 0 R D gsave 10999 16356 translate 0 0 M +-117.687 0 N +( ) show grestore 11110 18193 M 187 0 R D gsave 10999 18053 translate 0 0 M +-117.687 0 N +( ) show grestore 11110 11832 M 93 0 R D 11110 12256 M 93 0 R D +11110 12680 M 93 0 R D 11110 13529 M 93 0 R D 11110 13953 M 93 0 R D +11110 14377 M 93 0 R D 11110 15225 M 93 0 R D 11110 15649 M 93 0 R D +11110 16073 M 93 0 R D 11110 16921 M 93 0 R D 11110 17345 M 93 0 R D +11110 17769 M 93 0 R D 11110 18618 M 93 0 R D 11110 19042 M 93 0 R D +20444 11408 M 0 7888 R D 20444 11408 M -187 0 R D 20444 13104 M -187 0 R D +20444 14801 M -187 0 R D 20444 16497 M -187 0 R D 20444 18193 M -187 0 R D +20444 11832 M -93 0 R D 20444 12256 M -93 0 R D 20444 12680 M -93 0 R D +20444 13529 M -93 0 R D 20444 13953 M -93 0 R D 20444 14377 M -93 0 R D +20444 15225 M -93 0 R D 20444 15649 M -93 0 R D 20444 16073 M -93 0 R D +20444 16921 M -93 0 R D 20444 17345 M -93 0 R D 20444 17769 M -93 0 R D +20444 18618 M -93 0 R D 20444 19042 M -93 0 R D 12497 18805 M -1 22 R +-5 21 R -7 21 R -9 20 R -12 18 R -15 16 R -16 14 R -18 13 R -20 9 R -20 7 R +-22 4 R -21 2 R -22 -2 R -21 -4 R -21 -7 R -20 -9 R -18 -13 R -16 -14 R +-14 -16 R -13 -18 R -9 -20 R -7 -21 R -4 -21 R -2 -22 R 2 -21 R 4 -22 R +7 -20 R 9 -20 R 13 -18 R 14 -16 R 16 -15 R 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0.000 setrgbcolor +12214 18302 M 0 250 R 250 0 R 0 -250 R -250 0 R F +13061 17603 M 0 249 R 250 0 R 0 -249 R -250 0 R F +14016 17615 M 0 250 R 250 0 R 0 -250 R -250 0 R F +14837 17173 M 0 250 R 249 0 R 0 -250 R -249 0 R F +15593 16691 M 0 249 R 250 0 R 0 -249 R -250 0 R F +16363 15896 M 0 249 R 250 0 R 0 -249 R -250 0 R F +17233 15093 M 0 249 R 249 0 R 0 -249 R -249 0 R F +18381 13502 M 0 250 R 249 0 R 0 -250 R -249 0 R F +L0 12293 17596 M 93 0 R -47 0 R 0 1408 R -46 0 R 93 0 R D 13139 17151 M +94 0 R -47 0 R 0 1034 R -47 0 R 94 0 R D 14095 17477 M 93 0 R -47 0 R +0 535 R -46 0 R 93 0 R D 14915 17035 M 93 0 R -47 0 R 0 518 R -46 0 R 93 0 R +D 15671 16570 M 93 0 R -46 0 R 0 475 R -47 0 R 93 0 R D 16441 15757 M 93 0 R +-46 0 R 0 535 R -47 0 R 93 0 R D 17311 14963 M 93 0 R -47 0 R 0 509 R +-46 0 R 93 0 R D 18459 13203 M 93 0 R -47 0 R 0 797 R -46 0 R 93 0 R D L2 +11977 18146 M 67 212 R 66 61 R 67 28 R 67 13 R 66 4 R 67 0 R 67 -4 R 66 -7 R +67 -9 R 67 -11 R 66 -13 R 67 -14 R 67 -15 R 66 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66 -107 R 67 -108 R 67 -108 R 49 -82 R D +0.000 0.000 0.000 setrgbcolor gsave 11710 12256 translate 0 0 M +1.25 dup scale +( 0.2 < z < 0.4) show grestore 15 setlinewidth L0 20444 11408 M 9334 0 R D +21378 11408 M 0 158 R D gsave 21378 10880 translate 0 0 M -117.687 0 N +(9) show grestore 22711 11408 M 0 158 R D gsave 22711 10880 translate 0 0 M +-235.373 0 N +(10) show grestore 24044 11408 M 0 158 R D gsave 24044 10880 translate 0 0 M +-235.373 0 N +(11) show grestore 25378 11408 M 0 158 R D gsave 25378 10880 translate 0 0 M +-235.373 0 N +(12) show grestore 26711 11408 M 0 158 R D gsave 26711 10880 translate 0 0 M +-235.373 0 N +(13) show grestore 28045 11408 M 0 158 R D gsave 28045 10880 translate 0 0 M +-235.373 0 N +(14) show grestore 29378 11408 M 0 158 R D gsave 29378 10880 translate 0 0 M +-235.373 0 N +(15) show grestore 20444 11408 M 0 79 R D 20577 11408 M 0 79 R D +20711 11408 M 0 79 R D 20844 11408 M 0 79 R D 20978 11408 M 0 79 R D +21111 11408 M 0 79 R D 21244 11408 M 0 79 R D 21511 11408 M 0 79 R D +21644 11408 M 0 79 R D 21778 11408 M 0 79 R D 21911 11408 M 0 79 R D +22044 11408 M 0 79 R D 22178 11408 M 0 79 R D 22311 11408 M 0 79 R D +22444 11408 M 0 79 R D 22578 11408 M 0 79 R D 22844 11408 M 0 79 R D +22978 11408 M 0 79 R D 23111 11408 M 0 79 R D 23244 11408 M 0 79 R D +23378 11408 M 0 79 R D 23511 11408 M 0 79 R D 23644 11408 M 0 79 R D +23778 11408 M 0 79 R D 23911 11408 M 0 79 R D 24178 11408 M 0 79 R D +24311 11408 M 0 79 R D 24444 11408 M 0 79 R D 24578 11408 M 0 79 R D +24711 11408 M 0 79 R D 24844 11408 M 0 79 R D 24978 11408 M 0 79 R D +25111 11408 M 0 79 R D 25244 11408 M 0 79 R D 25511 11408 M 0 79 R D +25645 11408 M 0 79 R D 25778 11408 M 0 79 R D 25911 11408 M 0 79 R D +26045 11408 M 0 79 R D 26178 11408 M 0 79 R D 26311 11408 M 0 79 R D +26445 11408 M 0 79 R D 26578 11408 M 0 79 R D 26845 11408 M 0 79 R D +26978 11408 M 0 79 R D 27111 11408 M 0 79 R D 27245 11408 M 0 79 R D +27378 11408 M 0 79 R D 27511 11408 M 0 79 R D 27645 11408 M 0 79 R D +27778 11408 M 0 79 R D 27911 11408 M 0 79 R D 28178 11408 M 0 79 R D +28311 11408 M 0 79 R D 28445 11408 M 0 79 R D 28578 11408 M 0 79 R D +28711 11408 M 0 79 R D 28845 11408 M 0 79 R D 28978 11408 M 0 79 R D +29111 11408 M 0 79 R D 29245 11408 M 0 79 R D 29511 11408 M 0 79 R D +29645 11408 M 0 79 R D 29778 11408 M 0 79 R D 20444 19296 M 9334 0 R D +21378 19296 M 0 -158 R D 22711 19296 M 0 -158 R D 24044 19296 M 0 -158 R D +25378 19296 M 0 -158 R D 26711 19296 M 0 -158 R D 28045 19296 M 0 -158 R D +29378 19296 M 0 -158 R D 20444 19296 M 0 -79 R D 20577 19296 M 0 -79 R D +20711 19296 M 0 -79 R D 20844 19296 M 0 -79 R D 20978 19296 M 0 -79 R D +21111 19296 M 0 -79 R D 21244 19296 M 0 -79 R D 21511 19296 M 0 -79 R D +21644 19296 M 0 -79 R D 21778 19296 M 0 -79 R D 21911 19296 M 0 -79 R D +22044 19296 M 0 -79 R D 22178 19296 M 0 -79 R D 22311 19296 M 0 -79 R D +22444 19296 M 0 -79 R D 22578 19296 M 0 -79 R D 22844 19296 M 0 -79 R D +22978 19296 M 0 -79 R D 23111 19296 M 0 -79 R D 23244 19296 M 0 -79 R D +23378 19296 M 0 -79 R D 23511 19296 M 0 -79 R D 23644 19296 M 0 -79 R D +23778 19296 M 0 -79 R D 23911 19296 M 0 -79 R D 24178 19296 M 0 -79 R D +24311 19296 M 0 -79 R D 24444 19296 M 0 -79 R D 24578 19296 M 0 -79 R D +24711 19296 M 0 -79 R D 24844 19296 M 0 -79 R D 24978 19296 M 0 -79 R D +25111 19296 M 0 -79 R D 25244 19296 M 0 -79 R D 25511 19296 M 0 -79 R D +25645 19296 M 0 -79 R D 25778 19296 M 0 -79 R D 25911 19296 M 0 -79 R D +26045 19296 M 0 -79 R D 26178 19296 M 0 -79 R D 26311 19296 M 0 -79 R D +26445 19296 M 0 -79 R D 26578 19296 M 0 -79 R D 26845 19296 M 0 -79 R D +26978 19296 M 0 -79 R D 27111 19296 M 0 -79 R D 27245 19296 M 0 -79 R D +27378 19296 M 0 -79 R D 27511 19296 M 0 -79 R D 27645 19296 M 0 -79 R D +27778 19296 M 0 -79 R D 27911 19296 M 0 -79 R D 28178 19296 M 0 -79 R D +28311 19296 M 0 -79 R D 28445 19296 M 0 -79 R D 28578 19296 M 0 -79 R D +28711 19296 M 0 -79 R D 28845 19296 M 0 -79 R D 28978 19296 M 0 -79 R D +29111 19296 M 0 -79 R D 29245 19296 M 0 -79 R D 29511 19296 M 0 -79 R D +29645 19296 M 0 -79 R D 29778 19296 M 0 -79 R D 20444 11408 M 0 7888 R D +20444 11408 M 187 0 R D gsave 20333 11408 translate 0 0 M -117.687 0 N +( ) show grestore 20444 13104 M 187 0 R D gsave 20333 12964 translate 0 0 M +-117.687 0 N +( ) show grestore 20444 14801 M 187 0 R D gsave 20333 14660 translate 0 0 M +-117.687 0 N +( ) show grestore 20444 16497 M 187 0 R D gsave 20333 16356 translate 0 0 M +-117.687 0 N +( ) show grestore 20444 18193 M 187 0 R D gsave 20333 18053 translate 0 0 M +-117.687 0 N +( ) show grestore 20444 11832 M 93 0 R D 20444 12256 M 93 0 R D +20444 12680 M 93 0 R D 20444 13529 M 93 0 R D 20444 13953 M 93 0 R D +20444 14377 M 93 0 R D 20444 15225 M 93 0 R D 20444 15649 M 93 0 R D +20444 16073 M 93 0 R D 20444 16921 M 93 0 R D 20444 17345 M 93 0 R D +20444 17769 M 93 0 R D 20444 18618 M 93 0 R D 20444 19042 M 93 0 R D +29778 11408 M 0 7888 R D 29778 11408 M -187 0 R D 29778 13104 M -187 0 R D +29778 14801 M -187 0 R D 29778 16497 M -187 0 R D 29778 18193 M -187 0 R D +29778 11832 M -93 0 R D 29778 12256 M -93 0 R D 29778 12680 M -93 0 R D +29778 13529 M -93 0 R D 29778 13953 M -93 0 R D 29778 14377 M -93 0 R D +29778 15225 M -93 0 R D 29778 15649 M -93 0 R D 29778 16073 M -93 0 R D +29778 16921 M -93 0 R D 29778 17345 M -93 0 R D 29778 17769 M -93 0 R D +29778 18618 M -93 0 R D 29778 19042 M -93 0 R D 22826 18730 M -1 22 R +-4 21 R -7 21 R -10 19 R -12 19 R -14 16 R -17 14 R -18 12 R -19 10 R +-21 7 R -21 4 R -22 2 R -22 -2 R -21 -4 R -21 -7 R -19 -10 R -18 -12 R +-17 -14 R -14 -16 R -12 -19 R -10 -19 R -7 -21 R -4 -21 R -2 -22 R 2 -22 R +4 -21 R 7 -20 R 10 -20 R 12 -18 R 14 -17 R 17 -14 R 18 -12 R 19 -10 R +21 -7 R 21 -4 R 22 -1 R 22 1 R 21 4 R 21 7 R 19 10 R 18 12 R 17 14 R 14 17 R +12 18 R 10 20 R 7 20 R 4 21 R 1 22 R F +23878 18292 M -2 22 R -4 21 R -7 21 R -10 20 R -12 18 R -14 16 R -16 14 R +-18 12 R -20 10 R -21 7 R -21 4 R -22 2 R -21 -2 R -22 -4 R -20 -7 R +-20 -10 R -18 -12 R -16 -14 R 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21 -4 R 22 -1 R 22 1 R 21 4 R 21 7 R +19 10 R 18 12 R 17 15 R 14 16 R 12 18 R 10 20 R 7 20 R 4 22 R 1 21 R F +26212 16755 M -1 22 R -4 22 R -7 20 R -10 20 R -12 18 R -14 16 R -17 15 R +-18 12 R -19 9 R -21 7 R -21 5 R -22 1 R -22 -1 R -21 -5 R -21 -7 R -19 -9 R +-18 -12 R -17 -15 R -14 -16 R -12 -18 R -10 -20 R -7 -20 R -4 -22 R -2 -22 R +2 -21 R 4 -22 R 7 -20 R 10 -20 R 12 -18 R 14 -16 R 17 -15 R 18 -12 R 19 -9 R +21 -7 R 21 -5 R 22 -1 R 22 1 R 21 5 R 21 7 R 19 9 R 18 12 R 17 15 R 14 16 R +12 18 R 10 20 R 7 20 R 4 22 R 1 21 R F +26966 16204 M -1 22 R -5 22 R -7 20 R -9 20 R -12 18 R -15 16 R -16 15 R +-18 12 R -20 9 R -20 7 R -22 5 R -22 1 R -21 -1 R -22 -5 R -20 -7 R -20 -9 R +-18 -12 R -16 -15 R -15 -16 R -12 -18 R -9 -20 R -7 -20 R -5 -22 R -1 -22 R +1 -21 R 5 -22 R 7 -20 R 9 -20 R 12 -18 R 15 -16 R 16 -15 R 18 -12 R 20 -9 R +20 -7 R 22 -5 R 21 -1 R 22 1 R 22 5 R 20 7 R 20 9 R 18 12 R 16 15 R 15 16 R +12 18 R 9 20 R 7 20 R 5 22 R 1 21 R F +27745 14813 M -1 22 R -4 22 R -7 20 R -10 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-93 R 67 -94 R 66 -95 R 67 -95 R 67 -96 R 66 -97 R 67 -98 R D +0.000 0.965 1.000 setrgbcolor 22459 17116 M -222 -222 R 111 111 R -111 111 R +222 -222 R D 23305 17519 M -222 -222 R 111 111 R -111 111 R 222 -222 R D +24100 17451 M -222 -222 R 111 111 R -111 111 R 222 -222 R D 24995 17450 M +-222 -222 R 111 111 R -111 111 R 222 -222 R D 22301 16157 M 94 0 R -47 0 R +0 1696 R -47 0 R 94 0 R D 23147 17196 M 94 0 R -47 0 R 0 424 R -47 0 R +94 0 R D 23942 17170 M 94 0 R -47 0 R 0 340 R -47 0 R 94 0 R D 24837 17211 M +93 0 R -46 0 R 0 255 R -47 0 R 93 0 R D L3 20444 15364 M 67 68 R 66 67 R +67 66 R 67 65 R 67 65 R 66 63 R 67 63 R 67 62 R 66 61 R 67 60 R 67 59 R +66 58 R 67 57 R 67 57 R 66 55 R 67 55 R 67 53 R 66 53 R 67 52 R 67 51 R +66 51 R 67 49 R 67 48 R 66 48 R 67 46 R 67 46 R 66 45 R 67 44 R 67 43 R +66 42 R 67 41 R 67 41 R 66 39 R 67 39 R 67 38 R 66 37 R 67 36 R 67 35 R +66 34 R 67 33 R 67 33 R 66 31 R 67 20 R 67 12 R 66 5 R 67 0 R 67 -5 R +66 -8 R 67 -11 R 67 -14 R 66 -15 R 67 -18 R 67 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0 250 R 250 0 R 0 -250 R -250 0 R F +25611 16286 M 0 250 R 249 0 R 0 -250 R -249 0 R F +26742 15219 M 0 250 R 250 0 R 0 -250 R -250 0 R F +27803 13909 M 0 249 R 250 0 R 0 -249 R -250 0 R F +28880 12466 M 0 249 R 250 0 R 0 -249 R -250 0 R F +L0 22473 18194 M 94 0 R -47 0 R 0 339 R -47 0 R 94 0 R D 23307 17343 M +94 0 R -47 0 R 0 746 R -47 0 R 94 0 R D 23960 17437 M 93 0 R -47 0 R 0 543 R +-46 0 R 93 0 R D 24666 17056 M 94 0 R -47 0 R 0 484 R -47 0 R 94 0 R D +25689 16165 M 93 0 R -46 0 R 0 492 R -47 0 R 93 0 R D 26820 15072 M 94 0 R +-47 0 R 0 543 R -47 0 R 94 0 R D 27881 13660 M 93 0 R -46 0 R 0 721 R +-47 0 R 93 0 R D 28959 11759 M 93 0 R -47 0 R 0 1425 R -46 0 R 93 0 R D L2 +22044 17454 M 67 760 R 67 85 R 66 34 R 67 16 R 67 5 R 66 0 R 67 -5 R 67 -8 R +66 -11 R 67 -12 R 67 -15 R 66 -15 R 67 -17 R 67 -19 R 66 -19 R 67 -21 R +67 -21 R 66 -22 R 67 -24 R 67 -24 R 66 -25 R 67 -26 R 67 -27 R 66 -28 R +67 -28 R 67 -29 R 66 -30 R 67 -31 R 67 -32 R 66 -32 R 67 -33 R 67 -34 R +66 -35 R 67 -36 R 67 -36 R 66 -37 R 67 -38 R 67 -38 R 66 -40 R 67 -40 R +67 -41 R 66 -42 R 67 -42 R 67 -44 R 66 -44 R 67 -45 R 67 -45 R 66 -47 R +67 -47 R 67 -48 R 67 -49 R 66 -50 R 67 -50 R 67 -52 R 66 -52 R 67 -52 R +67 -54 R 66 -55 R 67 -55 R 67 -56 R 66 -57 R 67 -58 R 67 -58 R 66 -60 R +67 -60 R 67 -61 R 66 -62 R 67 -62 R 67 -64 R 66 -64 R 67 -65 R 67 -66 R +66 -67 R 67 -68 R 67 -68 R 66 -70 R 67 -70 R 67 -71 R 66 -71 R 67 -73 R +67 -74 R 66 -74 R 67 -75 R 67 -76 R 66 -77 R 67 -78 R 67 -78 R 66 -80 R +67 -80 R 67 -81 R 66 -82 R 67 -83 R 67 -84 R 66 -85 R 67 -85 R 67 -86 R +66 -87 R 67 -88 R 67 -89 R 66 -90 R 67 -91 R 67 -91 R 66 -93 R 67 -93 R +67 -94 R 66 -95 R 67 -96 R 67 -96 R 66 -98 R 67 -98 R 67 -100 R 66 -100 R +67 -101 R 67 -102 R 66 -103 R 67 -104 R D L0 0.000 0.282 1.000 setrgbcolor +24160 17318 M 125 -125 R -125 -125 R -124 125 R 124 125 R D 24403 17290 M +125 -125 R -125 -125 R -125 125 R 125 125 R D 24647 17270 M 125 -124 R +-125 -125 R -125 125 R 125 124 R D 24893 17217 M 125 -125 R 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0.000 setrgbcolor gsave 21044 12256 translate 0 0 M +1.25 dup scale +( 0.4 < z < 0.8) show grestore 15 setlinewidth L0 5100 2000 M 9900 0 R D +6255 2000 M 0 160 R D gsave 6255 1472 translate 0 0 M -235.373 0 N +(11) show grestore 7905 2000 M 0 160 R D gsave 7905 1472 translate 0 0 M +-235.373 0 N +(12) show grestore 9555 2000 M 0 160 R D gsave 9555 1472 translate 0 0 M +-235.373 0 N +(13) show grestore 11205 2000 M 0 160 R D gsave 11205 1472 translate 0 0 M +-235.373 0 N +(14) show grestore 12855 2000 M 0 160 R D gsave 12855 1472 translate 0 0 M +-235.373 0 N +(15) show grestore 14505 2000 M 0 160 R D gsave 14505 1472 translate 0 0 M +-235.373 0 N +(16) show grestore 5100 2000 M 0 80 R D 5265 2000 M 0 80 R D 5430 2000 M +0 80 R D 5595 2000 M 0 80 R D 5760 2000 M 0 80 R D 5925 2000 M 0 80 R D +6090 2000 M 0 80 R D 6420 2000 M 0 80 R D 6585 2000 M 0 80 R D 6750 2000 M +0 80 R D 6915 2000 M 0 80 R D 7080 2000 M 0 80 R D 7245 2000 M 0 80 R D +7410 2000 M 0 80 R D 7575 2000 M 0 80 R D 7740 2000 M 0 80 R D 8070 2000 M +0 80 R D 8235 2000 M 0 80 R D 8400 2000 M 0 80 R D 8565 2000 M 0 80 R D +8730 2000 M 0 80 R D 8895 2000 M 0 80 R D 9060 2000 M 0 80 R D 9225 2000 M +0 80 R D 9390 2000 M 0 80 R D 9720 2000 M 0 80 R D 9885 2000 M 0 80 R D +10050 2000 M 0 80 R D 10215 2000 M 0 80 R D 10380 2000 M 0 80 R D +10545 2000 M 0 80 R D 10710 2000 M 0 80 R D 10875 2000 M 0 80 R D +11040 2000 M 0 80 R D 11370 2000 M 0 80 R D 11535 2000 M 0 80 R D +11700 2000 M 0 80 R D 11865 2000 M 0 80 R D 12030 2000 M 0 80 R D +12195 2000 M 0 80 R D 12360 2000 M 0 80 R D 12525 2000 M 0 80 R D +12690 2000 M 0 80 R D 13020 2000 M 0 80 R D 13185 2000 M 0 80 R D +13350 2000 M 0 80 R D 13515 2000 M 0 80 R D 13680 2000 M 0 80 R D +13845 2000 M 0 80 R D 14010 2000 M 0 80 R D 14175 2000 M 0 80 R D +14340 2000 M 0 80 R D 14670 2000 M 0 80 R D 14835 2000 M 0 80 R D +15000 2000 M 0 80 R D 5100 10000 M 9900 0 R D 6255 10000 M 0 -160 R D +7905 10000 M 0 -160 R D 9555 10000 M 0 -160 R D 11205 10000 M 0 -160 R D +12855 10000 M 0 -160 R D 14505 10000 M 0 -160 R D 5100 10000 M 0 -80 R D +5265 10000 M 0 -80 R D 5430 10000 M 0 -80 R D 5595 10000 M 0 -80 R D +5760 10000 M 0 -80 R D 5925 10000 M 0 -80 R D 6090 10000 M 0 -80 R D +6420 10000 M 0 -80 R D 6585 10000 M 0 -80 R D 6750 10000 M 0 -80 R D +6915 10000 M 0 -80 R D 7080 10000 M 0 -80 R D 7245 10000 M 0 -80 R D +7410 10000 M 0 -80 R D 7575 10000 M 0 -80 R D 7740 10000 M 0 -80 R D +8070 10000 M 0 -80 R D 8235 10000 M 0 -80 R D 8400 10000 M 0 -80 R D +8565 10000 M 0 -80 R D 8730 10000 M 0 -80 R D 8895 10000 M 0 -80 R D +9060 10000 M 0 -80 R D 9225 10000 M 0 -80 R D 9390 10000 M 0 -80 R D +9720 10000 M 0 -80 R D 9885 10000 M 0 -80 R D 10050 10000 M 0 -80 R D +10215 10000 M 0 -80 R D 10380 10000 M 0 -80 R D 10545 10000 M 0 -80 R D +10710 10000 M 0 -80 R D 10875 10000 M 0 -80 R D 11040 10000 M 0 -80 R D +11370 10000 M 0 -80 R D 11535 10000 M 0 -80 R D 11700 10000 M 0 -80 R D +11865 10000 M 0 -80 R D 12030 10000 M 0 -80 R D 12195 10000 M 0 -80 R D +12360 10000 M 0 -80 R D 12525 10000 M 0 -80 R D 12690 10000 M 0 -80 R D +13020 10000 M 0 -80 R D 13185 10000 M 0 -80 R D 13350 10000 M 0 -80 R D +13515 10000 M 0 -80 R D 13680 10000 M 0 -80 R D 13845 10000 M 0 -80 R D +14010 10000 M 0 -80 R D 14175 10000 M 0 -80 R D 14340 10000 M 0 -80 R D +14670 10000 M 0 -80 R D 14835 10000 M 0 -80 R D 15000 10000 M 0 -80 R D +5100 2000 M 0 8000 R D 5100 2000 M 198 0 R D gsave 4989 2000 translate 0 0 M +-611.717 0 N +(-12) show grestore 5100 3720 M 198 0 R D gsave 4989 3580 translate 0 0 M +-611.717 0 N +(-10) show grestore 5100 5441 M 198 0 R D gsave 4989 5300 translate 0 0 M +-376.343 0 N +(-8) show grestore 5100 7161 M 198 0 R D gsave 4989 7020 translate 0 0 M +-376.343 0 N +(-6) show grestore 5100 8882 M 198 0 R D gsave 4989 8741 translate 0 0 M +-376.343 0 N +(-4) show grestore 5100 2430 M 99 0 R D 5100 2860 M 99 0 R D 5100 3290 M +99 0 R D 5100 4151 M 99 0 R D 5100 4581 M 99 0 R D 5100 5011 M 99 0 R D +5100 5871 M 99 0 R D 5100 6301 M 99 0 R D 5100 6731 M 99 0 R D 5100 7591 M +99 0 R D 5100 8022 M 99 0 R D 5100 8452 M 99 0 R D 5100 9312 M 99 0 R D +5100 9742 M 99 0 R D 15000 2000 M 0 8000 R D 15000 2000 M -198 0 R D +15000 3720 M -198 0 R D 15000 5441 M -198 0 R D 15000 7161 M -198 0 R D +15000 8882 M -198 0 R D 15000 2430 M -99 0 R D 15000 2860 M -99 0 R D +15000 3290 M -99 0 R D 15000 4151 M -99 0 R D 15000 4581 M -99 0 R D +15000 5011 M -99 0 R D 15000 5871 M -99 0 R D 15000 6301 M -99 0 R D +15000 6731 M -99 0 R D 15000 7591 M -99 0 R D 15000 8022 M -99 0 R D +15000 8452 M -99 0 R D 15000 9312 M -99 0 R D 15000 9742 M -99 0 R D +6342 8895 M -1 22 R -5 21 R -7 21 R -9 19 R -12 19 R -15 16 R -16 14 R +-18 12 R -20 10 R -20 7 R -22 4 R -22 2 R -21 -2 R -22 -4 R -20 -7 R +-20 -10 R -18 -12 R -16 -14 R -15 -16 R -12 -19 R -9 -19 R -7 -21 R -5 -21 R +-1 -22 R 1 -22 R 5 -21 R 7 -21 R 9 -19 R 12 -18 R 15 -17 R 16 -14 R 18 -12 R +20 -10 R 20 -7 R 22 -4 R 21 -1 R 22 1 R 22 4 R 20 7 R 20 10 R 18 12 R +16 14 R 15 17 R 12 18 R 9 19 R 7 21 R 5 21 R 1 22 R F +7293 8678 M -2 21 R -4 22 R -7 20 R -10 20 R -12 18 R -14 16 R -17 15 R +-18 12 R -19 10 R -21 7 R -21 4 R -22 1 R -22 -1 R -21 -4 R -21 -7 R +-19 -10 R -18 -12 R -17 -15 R -14 -16 R -12 -18 R -10 -20 R -7 -20 R +-4 -22 R -1 -21 R 1 -22 R 4 -21 R 7 -21 R 10 -20 R 12 -18 R 14 -16 R +17 -14 R 18 -13 R 19 -9 R 21 -7 R 21 -4 R 22 -2 R 22 2 R 21 4 R 21 7 R +19 9 R 18 13 R 17 14 R 14 16 R 12 18 R 10 20 R 7 21 R 4 21 R 2 22 R F +8046 8392 M -1 22 R -5 21 R -7 21 R -9 20 R -12 18 R -15 16 R -16 14 R +-18 12 R -20 10 R -20 7 R -22 4 R -22 2 R -21 -2 R -22 -4 R -20 -7 R +-20 -10 R -18 -12 R -16 -14 R -15 -16 R -12 -18 R -9 -20 R -7 -21 R -5 -21 R +-1 -22 R 1 -21 R 5 -22 R 7 -20 R 9 -20 R 12 -18 R 15 -16 R 16 -15 R 18 -12 R +20 -10 R 20 -7 R 22 -4 R 21 -1 R 22 1 R 22 4 R 20 7 R 20 10 R 18 12 R +16 15 R 15 16 R 12 18 R 9 20 R 7 20 R 5 22 R 1 21 R F +9252 7789 M -1 21 R -4 22 R -7 20 R -10 20 R -12 18 R -15 16 R -16 15 R +-18 12 R -20 9 R -20 7 R -22 5 R -21 1 R -22 -1 R -21 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R 16 -14 R 18 -12 R +20 -10 R 20 -7 R 22 -4 R 21 -2 R 22 2 R 21 4 R 21 7 R 20 10 R 18 12 R +16 14 R 14 16 R 13 19 R 9 19 R 7 21 R 4 21 R 2 22 R F +20 setlinewidth 6126 8723 M 99 0 R -50 0 R 0 344 R -49 0 R 99 0 R D +7077 8506 M 99 0 R -50 0 R 0 344 R -49 0 R 99 0 R D 7830 8220 M 99 0 R +-50 0 R 0 344 R -49 0 R 99 0 R D 9036 7605 M 99 0 R -49 0 R 0 368 R -50 0 R +99 0 R D 10264 6461 M 99 0 R -49 0 R 0 430 R -50 0 R 99 0 R D 11437 5065 M +99 0 R -50 0 R 0 516 R -49 0 R 99 0 R D 5100 9270 M 82 -18 R 83 -20 R +82 -19 R 83 -21 R 82 -20 R 83 -22 R 82 -22 R 83 -23 R 82 -23 R 83 -24 R +83 -24 R 82 -25 R 82 -26 R 83 -27 R 83 -27 R 82 -27 R 83 -29 R 82 -29 R +82 -29 R 83 -31 R 82 -31 R 83 -31 R 83 -33 R 82 -33 R 83 -34 R 82 -34 R +83 -35 R 82 -36 R 82 -37 R 83 -37 R 82 -38 R 83 -38 R 83 -40 R 82 -40 R +83 -41 R 82 -41 R 83 -43 R 82 -43 R 83 -43 R 82 -45 R 82 -45 R 83 -46 R +83 -47 R 82 -47 R 83 -49 R 82 -49 R 83 -49 R 82 -51 R 83 -51 R 82 -52 R +83 -53 R 82 -54 R 83 -54 R 82 -55 R 83 -56 R 82 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R 0 689 R -49 0 R 99 0 R D 8278 7308 M 99 0 R +-50 0 R 0 1032 R -49 0 R 99 0 R D L3 5100 8069 M 82 40 R 83 40 R 82 28 R +83 19 R 82 12 R 83 6 R 82 2 R 83 -1 R 82 -4 R 83 -7 R 83 -8 R 82 -11 R +82 -11 R 83 -13 R 83 -14 R 82 -15 R 83 -16 R 82 -17 R 82 -18 R 83 -19 R +82 -20 R 83 -20 R 83 -21 R 82 -23 R 83 -23 R 82 -24 R 83 -25 R 82 -26 R +82 -27 R 83 -27 R 82 -29 R 83 -29 R 83 -30 R 82 -32 R 83 -32 R 82 -33 R +83 -33 R 82 -35 R 83 -36 R 82 -36 R 82 -38 R 83 -38 R 83 -39 R 82 -40 R +83 -41 R 82 -42 R 83 -43 R 82 -43 R 83 -45 R 82 -45 R 83 -46 R 82 -47 R +83 -48 R 82 -49 R 83 -50 R 82 -51 R 83 -51 R 82 -53 R 83 -53 R 82 -54 R +83 -55 R 82 -56 R 83 -57 R 82 -58 R 83 -59 R 82 -59 R 83 -60 R 82 -62 R +83 -62 R 82 -63 R 83 -64 R 82 -65 R 83 -65 R 82 -67 R 83 -67 R 82 -69 R +83 -69 R 82 -70 R 83 -71 R 82 -72 R 83 -72 R 82 -74 R 83 -74 R 82 -76 R +83 -76 R 82 -77 R 83 -78 R 82 -79 R 83 -80 R 82 -80 R 83 -82 R 82 -82 R +83 -83 R 82 -84 R 83 -85 R 82 -86 R 83 -87 R 82 -88 R 83 -88 R 82 -90 R +83 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-125 -125 R -125 125 R +125 124 R D 7305 7915 M 125 -124 R -125 -125 R -125 125 R 125 124 R D +7612 7836 M 125 -125 R -125 -125 R -125 125 R 125 125 R D 7920 7807 M +125 -124 R -125 -125 R -124 125 R 124 124 R D 8231 7754 M 125 -125 R +-125 -125 R -125 125 R 125 125 R D 8543 7726 M 125 -125 R -125 -125 R +-125 125 R 125 125 R D 8856 7595 M 125 -125 R -125 -125 R -125 125 R +125 125 R D 9171 7361 M 125 -125 R -125 -125 R -125 125 R 125 125 R D +9488 7067 M 125 -125 R -125 -125 R -125 125 R 125 125 R D 9805 6790 M +125 -124 R -125 -125 R -124 125 R 124 124 R D 10124 6411 M 125 -125 R +-125 -125 R -125 125 R 125 125 R D 10444 5644 M 125 -125 R -125 -125 R +-125 125 R 125 125 R D 10764 5609 M 125 -125 R -125 -125 R -125 125 R +125 125 R D 6951 7354 M 99 0 R -49 0 R 0 1213 R -50 0 R 99 0 R D 7256 7507 M +99 0 R -50 0 R 0 567 R -49 0 R 99 0 R D 7562 7435 M 99 0 R -49 0 R 0 551 R +-50 0 R 99 0 R D 7871 7407 M 99 0 R -50 0 R 0 551 R -49 0 R 99 0 R D +8181 7354 M 99 0 R -49 0 R 0 550 R -50 0 R 99 0 R D 8493 7334 M 99 0 R +-49 0 R 0 534 R -50 0 R 99 0 R D 8807 7195 M 99 0 R -50 0 R 0 550 R -49 0 R +99 0 R D 9122 6952 M 99 0 R -50 0 R 0 568 R -49 0 R 99 0 R D 9438 6650 M +99 0 R -49 0 R 0 585 R -50 0 R 99 0 R D 9756 6347 M 99 0 R -50 0 R 0 620 R +-49 0 R 99 0 R D 10075 5907 M 99 0 R -50 0 R 0 740 R -49 0 R 99 0 R D +10394 4874 M 99 0 R -49 0 R 0 1213 R -50 0 R 99 0 R D 10715 4839 M 99 0 R +-50 0 R 0 1213 R -49 0 R 99 0 R D L1 6585 7722 M 82 230 R 83 74 R 82 31 R +83 10 R 83 -2 R 82 -9 R 83 -15 R 82 -19 R 83 -23 R 82 -26 R 82 -28 R +83 -30 R 82 -32 R 83 -34 R 83 -35 R 82 -37 R 83 -38 R 82 -39 R 83 -41 R +82 -41 R 83 -43 R 82 -44 R 82 -45 R 83 -46 R 83 -47 R 82 -49 R 83 -49 R +82 -50 R 83 -51 R 82 -52 R 83 -53 R 82 -54 R 83 -55 R 82 -55 R 83 -57 R +82 -58 R 83 -58 R 82 -59 R 83 -61 R 82 -61 R 83 -62 R 82 -63 R 83 -64 R +82 -65 R 83 -65 R 82 -67 R 83 -67 R 82 -69 R 83 -69 R 82 -70 R 83 -71 R +82 -72 R 83 -73 R 82 -73 R 83 -75 R 82 -75 R 83 -77 R 82 -77 R 83 -78 R +82 -79 R 83 -80 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08/10/05 (referee report) + +\newcommand{\tq}{$t_{Q}$} +\newcommand{\tQ}{t_{Q}} +\newcommand{\etal}{et al.} +\newcommand{\NH}{$N_{\rm H}$} +\newcommand{\NHI}{$N_{\rm H\,I}$} +\newcommand{\nh}{N_{\rm H}} +\newcommand{\nhi}{N_{\rm H\,I}} +\newcommand{\Mdot}{\dot{M}} +\newcommand{\Lbol}{L_{\rm bol}} +\newcommand{\dEdt}{\epsilon_r \Mdot c^{2}} +%\newcommand{\LB}{\nu_{B} L_{\nu_{B}}} +\newcommand{\LB}{L_{B}} +\newcommand{\LX}{L_{X}} +\newcommand{\Lm}{L_{\rm min}} +\newcommand{\LBo}{L_{B,{\rm obs}}} +\newcommand{\LBm}{L_{B,{\rm min}}} +\newcommand{\LXo}{L_{X,{\rm obs}}} +\newcommand{\LXm}{L_{X,{\rm min}}} +\newcommand{\Lcut}[1]{10^{#1}\,L_{\sun}} +\newcommand{\EV}[1]{\langle #1 \rangle} +\newcommand{\dlgL}{{\rm d}\log(L)} +\newcommand{\eEdd}{l} +%\newcommand{\nLP}{n(L_{peak})} +\newcommand{\Lp}{L_{\rm peak}} +\newcommand{\mdot}{\dot{m}} +\newcommand{\meanNH}{\bar{N}_{H}} +\newcommand{\sigNH}{\sigma_{N_{H}}} +\newcommand{\dtdL}{{\rm d}t/{\rm d}\log{L}} +\newcommand{\fdtdL}{\frac{{\rm d}t}{{\rm d}\log{L}}} +\newcommand{\ndot}{\dot{n_{\ast}(\Lp)}} +\newcommand{\vvir}{V_{\rm vir}} +\newcommand{\mvir}{M_{\rm vir}} +\newcommand{\qeos}{q_{\rm EOS}} +\newcommand{\fgas}{f_{\rm gas}} +\newcommand{\zgal}{z_{\rm gal}} +\newcommand{\mbh}{M_{\rm BH}} +\newcommand{\mbhf}{M^{f}_{\rm BH}} +\newcommand{\dphi}{{\rm d}\Phi/{\rm d}\log L} +\newcommand{\fdphi}{\frac{{\rm d}\Phi}{{\rm d}\log L}} +\newcommand{\nLP}{\dot{n}(\Lp)} +\newcommand{\nLp}{\nLP} +\newcommand{\nstar}{\dot{n}_{\ast}} +\newcommand{\lstar}{L_{\ast}} +\newcommand{\sstar}{\sigma_{\ast}} +\newcommand{\rhobh}{\rho_{\rm BH}} +\newcommand{\lessim}{\lesssim} +\newcommand{\reducechi}{\chi^{2}/\nu} + +%\renewcommand{\plotone}{ } + +\shorttitle{Quasar Origins \&\ Evolution} +\shortauthors{Hopkins \etal} +\slugcomment{Submitted to ApJ, June 14, 2005} +\begin{document} + +\title{A Unified, Merger-Driven Model for the Origin of Starbursts, Quasars, +the Cosmic X-Ray Background, Supermassive Black Holes and Galaxy Spheroids} +% Relation Between Supermassive Black Holes and Spheroids in Galaxies} +\author{Philip F. Hopkins\altaffilmark{1}, +Lars Hernquist\altaffilmark{1}, +Thomas J. Cox\altaffilmark{1}, +Tiziana Di Matteo\altaffilmark{2}, +Brant Robertson\altaffilmark{1}, +Volker Springel\altaffilmark{3}} +\altaffiltext{1}{Harvard-Smithsonian Center for Astrophysics, +60 Garden Street, Cambridge, MA 02138, USA} +\altaffiltext{2}{Carnegie Mellon University, +Department of Physics, 5000 Forbes Ave., Pittsburgh, PA 15213} +\altaffiltext{3}{Max-Planck-Institut f\"{u}r Astrophysik, +Karl-Schwarzchild-Stra\ss e 1, 85740 Garching bei M\"{u}nchen, Germany} + +\begin{abstract} + +We develop an evolutionary model for starbursts, quasars, and +spheroidal galaxies in which supermassive black holes play a dominant +role. In this picture, mergers between gas-rich galaxies drive +nuclear inflows of gas, producing intense starbursts and feeding the +growth of supermassive black holes. During this phase, the black hole +is heavily obscured (a ``buried'' quasar), but feedback energy from +its growth expels the gas, rendering the black hole briefly visible as +a bright, optical source (a ``visible'' quasar), and eventually +halting accretion (a ``dead'' quasar). The self-regulated growth of +the black hole accounts for the observed correlation between black +hole mass and stellar velocity dispersion in spheroidal galaxies. We +show that the quasar lifetime and obscuring column density depend on +both the instantaneous and peak luminosities of the quasar, and +determine this dependence using a large set of simulations of galaxy +mergers varying the host galaxy properties, orbital geometry, and gas +physics. + +We use our fits to the lifetime and column density to deconvolve +observed quasar luminosity functions and obtain the evolution of the +formation rate of quasars with a certain peak luminosity, $\dot +n(L_{\rm peak}, z)$. In our model, quasars spend extended periods of +time at luminosities well below their peaks, and so $\dot n(L_{\rm +peak}, z)$ has a maximum, falling off at both brighter and fainter +luminosities, corresponding to the ``break'' in the observed quasar +luminosity function. We obtain self-consistent fits to hard and soft +X-ray and optical quasar luminosity functions for a model in which +$\dot n(L_{\rm peak}, z)$ varies with redshift according to pure peak +luminosity evolution. From this form for $\dot n(L_{\rm peak}, z)$, +and our simulation results for the luminosity dependence of the quasar +lifetime and obscuring column, we are able to reproduce many +observable quantities, including: the column density distribution of +both optical and X-ray selected quasar samples, the luminosity +function of broad-line quasars in X-ray samples and the broad-line +(Type I, Type II) fraction as a function of luminosity, the mass +function of active black holes, the observed distribution of Eddington +ratios at both low and high redshift, the present-day mass function of +relic, inactive supermassive black holes and total black hole mass +density, and the spectrum of the cosmic X-ray background. In each +case, our predictions agree well with observations, matching them to +higher precision than previous tunable models for quasar lifetimes and +obscuration similarly fit to the luminosity function. We provide a +library of Monte Carlo realizations of our modeling for comparison +with a wide range of observations, using various selection criteria. + +\end{abstract} + +\keywords{quasars: general --- galaxies: nuclei --- galaxies: active --- +galaxies: evolution --- cosmology: theory} + +\section{Introduction} +\label{sec:intro} + +The measurement of anisotropies in the cosmic microwave background +(e.g.\ Spergel et al.\ 2003) combined with observations of high +redshift supernovae (e.g.\ Riess et al.\ 1998, 2000; Perlmutter et +al.\ 1999) have established a ``standard model'' for the Universe, in +which the energy density is dominated by an unknown form driving +accelerated cosmic expansion, and most of the mass is non-baryonic, in +a ratio of roughly 5:1 to ordinary matter. On small scales, it is +believed that structure formed through gravitational instability. In +the currently favored cold dark matter (CDM) paradigm, objects grow +hierarchically, with smaller ones forming first and then merging into +successively larger bodies. As baryons fall into dark matter +potential wells, the gas is shocked and then cools radiatively to form +stars and galaxies, in a ``bottom-up'' progression (White \& Rees +1978). + +Even with the many successes of this picture, the processes underlying +galaxy formation and evolution are poorly understood. For example, +there has yet to be an ab initio calculation, starting from an initial +state prescribed by the standard model, resulting in a population of +objects that reproduces observed galaxies. However, from the +same initial conditions, computer simulations have yielded a new, +successful interpretation of the Lyman-alpha forest in which +absorption in caused by density fluctuations in the intergalactic +medium (e.g.\ Cen et al.\ 1994; Zhang et al.\ 1995; Hernquist et +al.\ 1996), over many orders of magnitude in column density (e.g.\ Katz +et al.\ 1996a), explicitly related to growth of structure in a CDM +universe (e.g.\ Croft et al.\ 1998, 1999, 2002; McDonald et al.\ 2000, +2004; Hui et al.\ 2001; Viel et al.\ 2003, 2004). This suggests that +the difficulties with understanding galaxy formation and evolution lie +not in the initial conditions or with the description of dark matter, +but rather with the physics that has been used to model the baryons. + +Observations have revealed regularities in the structure of galaxies +that point to some of this ``missing'' physics. Supermassive black +holes appear to reside at the centers of most galaxies (e.g.\ Kormendy +\& Richstone 1995; Richstone et al.\ 1998; Kormendy \& Gebhardt 2001) +and the masses of these black holes are correlated with either the +mass (Magorrian et al.\ 1998; McLure \& Dunlop 2002; Marconi \& Hunt +2003) or the velocity dispersion (i.e.\ the $M_{\rm BH}$-$\sigma$ +relation: Ferrarese \& Merritt 2000; Gebhardt et al.\ 2000; Tremaine et +al.\ 2002) of spheroids, demonstrating a direct link between the origin +of galaxies and supermassive black holes. Simulations which follow +the self-regulated growth of black holes in galaxy mergers (Di Matteo +et al.\ 2005; Springel et al.\ 2005a) have shown that the energy +released through this process has a global impact on the structure of +the merger remnant. If this conclusion applies to spheroid formation +in general, the simulations demonstrate that models for the origin and +evolution of galaxies must account for black hole growth and feedback +in a fully {\it self-consistent} manner. + +Analytical and semi-analytical +modeling \citep{SR98,Fabian99,WL02,WL03,BN05} suggests +that, beyond a certain threshold, feedback energy from black holes can +expel gas from the centers of galaxies, shutting down accretion onto +them and limiting their masses. However, these calculations usually +ignore the impact of this process on star formation and therefore do +not explain the link between black hole growth and spheroid formation, +and furthermore make simplifying assumptions about the dynamics of such accretion. For +example, the duration of black hole growth is a free parameter, which +is fixed either using observational estimates or assumed to be similar +to e.g.\ the dynamical time of the host galaxy or the $e$-folding time +for Eddington-limited black hole growth $t_{S}=M_{\rm +BH}/\Mdot=4.5\times10^{7}\,l^{-1}\,(\epsilon_r/0.1)\,$yr for accretion +with radiative efficiency $\epsilon_r=L/\Mdot c^{2}\sim0.1$ and +$l=L/L_{\rm Edd}\lesssim1$ \citep{Salpeter64}. Moreover, these +studies have adopted idealized models for quasar light curves, usually +corresponding to growth at a constant Eddington ratio or +on-off, ``light bulb,'' scenarios. As we discuss below, less +restrictive modeling suggests that this phase is actually more +complex. + +Efforts to model quasar accretion and feedback more self-consistently +\citep[e.g.,][]{CO97,CO01,Granato04} by treating the hydrodynamical +response of gas to black hole growth have generally been restricted to +idealized geometries, such as spherical symmetry, employing simple +models for star formation and galaxy-scale quasar fueling. However, +these works have made it possible to estimate duty cycles of quasars +and shown that the objects left behind have characteristics similar to +those observed, with quasar feedback being a critical element in +reproducing these features (e.g.\ Sazonov et al.\ 2005; Kawata \& +Gibson 2005; Cirasuolo et al.\ 2005; for a review, see Ostriker \& +Ciotti 2005). + +\citet{SDH05b} have incorporated black hole growth and feedback into +simulations of galaxy mergers and included a multiphase model for star +formation and pressurization of the interstellar gas by supernovae +\citep{SH03} to examine implications of these processes for galaxy +formation and evolution. Di Matteo et al.\ (2005) and Springel et +al.\ (2005a,b) have shown that gas inflows excited by gravitational +torques during a merger both trigger starbursts and fuel rapid black +hole growth. The growth of the black hole is determined by the gas +supply and terminates as gas is expelled by feedback, halting +accretion, leaving a dead quasar in an ordinary galaxy. The +self-regulated nature of black hole growth in mergers explains +observed correlations between black hole mass and properties of normal +galaxies \citep{DSH05}, as well as the color distribution of +ellipticals \citep{SDH05a}. These results lend support to the view +that mergers have played an important role in structuring galaxies, as +advocated especially by Toomre \& Toomre (1972) and Toomre (1977). +(For reviews, see, e.g., Barnes \& Hernquist 1992; Barnes 1998; +Schweizer 1998.) + +Subsequent analysis by Hopkins et al.\ (2005a,b,c,d) has shown that the +merger simulations can account for quasar phenomena as a phase of +black hole growth. Unlike what has been assumed in e.g.\ +semi-analytical studies of quasars, the simulations predict +complicated evolution for quasar lifetimes, fueling rates for black +hole accretion, obscuration, and quasar light curves. The light +curves were studied by \citet{H05a,H05b}, who showed that the +self-termination process gives observable lifetimes $\sim10^{7}\,$yr +for bright optical quasars and predicts a large population of obscured +sources as a natural stage of quasar evolution, as implied by +observations (for a review, see Brandt \& Hasinger 2005). +\citet{H05b} analyzed simulations over a range of galaxy masses and +found that the quasar light curves and lifetimes are always +qualitatively similar, with both the intrinsic and observed quasar +lifetimes being decreasing functions of luminosity, with longer +lifetimes at all luminosities for higher-mass (higher peak luminosity) +systems. The dependence of the lifetime on luminosity led +\citet{H05c} to suggest a new interpretation of the quasar luminosity +function, in which the steep bright-end consists of quasars radiating +near the Eddington limit and is directly related to the distribution +of intrinsic peak luminosities (or final black hole masses) as has +been assumed previously +\citep[e.g.,][]{SB92,HL98,HM00,KH00,Somerville01, +Tully02,WL03,V03,HQB04,Croton05}, but where the +shallow, faint-end of the luminosity function describes black holes +growing towards or declining from peak phases of quasar activity, with +Eddington ratios generally between $l \sim0.01$ and 1. The ``break'' +in the luminosity function corresponds directly to the {\em peak} in +the distribution of intrinsic quasar properties. As argued by +\citet{H05c,H05d} this new interpretation of the luminosity function +can self-consistently explain various properties of both the quasar +and galaxy populations, connecting the origin of galaxy spheroids, +supermassive black holes, and quasars. + +%\clearpage +\begin{figure} + \centering + \plotone{f1.ps} + %\includegraphics[width=3.7in]{f1.ps} + \caption{Schematic representation of a ``cosmic cycle'' for + galaxy formation and evolution regulated by black hole growth in + mergers. + \label{fig:cosmiccycle}} +\end{figure} +%\clearpage + +Motivated by these results, and earlier work by many others which we +summarize below, in this paper we consider a picture for galaxy +formation and evolution, illustrated schematically as a ``cosmic +cycle'' in Figure~\ref{fig:cosmiccycle}, in which starbursts, quasars, +and the simultaneous formation of spheroids and supermassive black +holes represent connected phases in the lives of galaxies. Mergers +are expected to occur regularly in a hierarchical universe, +particularly at high redshifts. Those between gas-rich galaxies drive +nuclear inflows of gas, triggering starbursts and fueling the growth +of supermassive black holes. During most of this phase, quasar +activity is obscured, but once a black hole dominates the energetics +of the central region, feedback expels gas and dust, making the black +hole visible briefly as a bright quasar. Eventually, as the gas is +further heated and expelled, quasar activity can no longer be +maintained and the merger remnant relaxes to a normal galaxy with a +spheroid and a supermassive black hole. In some cases, depending on +the gas content of the progenitors, the remnant may also have a disk +(Springel \& Hernquist 2005; Robertson et al.\ 2005a). The remnant +will then evolve passively and would be available as a seed to repeat +the above cycle. As the Universe evolves and more gas is consumed, +the mergers involving gas-rich galaxies will shift towards lower +masses, explaining the decline in the population of the brightest +quasars from $z\sim 2$ to the present, and the remnants that are +gas-poor will redden quickly owing to the termination of star +formation by black hole feedback (Springel et al.\ 2005a), so that they +resemble elliptical galaxies, surrounded by hot X-ray emitting halos +(e.g.\ Cox et al.\ 2005). + +There is considerable observational support for this scenario, which +has led the development of this picture for the co-evolution of +galaxies and quasars over recent decades. Infrared (IR) luminous +galaxies are thought to be powered in part by starbursts (e.g.\ Soifer +et al.\ 1984a,b; Sanders et al.\ 1986, 1988a,b; for a review, see e.g.\ +Soifer et al.\ 1987), and the most intense examples locally, +ultraluminous infrared galaxies (ULIRGs), are invariably associated +with mergers (e.g.\ Allen et al.\ 1985; Joseph \& Wright 1985; Armus et +al.\ 1987; Kleinmann et al.\ 1988; Melnick \& Mirabel 1990; for reviews, +see Sanders \& Mirabel 1996 and Jogee 2004). Radio observations show +that ULIRGs have large, central concentrations of dense gas (e.g.\ +Scoville et al.\ 1986; Sargent et al.\ 1987, 1989), providing a fuel +supply to feed black hole growth. Indeed, some ULIRGs have ``warm'' +IR spectral energy distributions (SEDs), suggesting that they harbor +buried quasars (e.g.\ Sanders et al.\ 1988c), an interpretation +strengthened by X-ray observations demonstrating the presence of two +non-thermal point sources in NGC6240 \citep{Komossa03}, which are +thought to be supermassive black holes that are heavily obscured at +visual wavelengths (e.g.\ Gerssen et al.\ 2004; Max et al.\ 2005, +Alexander et al.\ 2005a,b). These lines of evidence, together with the +overlap between bolometric luminosities of ULIRGs and quasars, +indicate that quasars are the descendents of an infrared luminous +phase of galaxy evolution caused by mergers (Sanders et al.\ 1988a), an +interpretation supported by observations of quasar hosts (e.g.\ +Stockton 1978; Heckman et al.\ 1984; Stockton \& MacKenty 1987; +Stockton \& Ridgway 1991; Hutchings \& Neff 1992; Bahcall et al.\ 1994, +1995, 1997; Canalizo \& Stockton 2001). + +However, many of the physical processes that connect the phases of +evolution in Figure~\ref{fig:cosmiccycle} are not well understood. +Early simulations showed that mergers produce objects resembling +galaxy spheroids (e.g.\ Barnes 1988, 1992; Hernquist 1992, 1993a) and +that if the progenitors are gas-rich, gravitational torques funnel gas +to the center of the remnant (e.g.\ Barnes \& Hernquist 1991, 1996), +producing a starburst (e.g.\ Mihos \& Hernquist 1996), but these works +did not explore the relationship of these events to black hole growth +and quasar activity. While a combination of arguments based on time +variability and energetics suggests that quasars are produced by the +accretion of gas onto supermassive black holes in the centers of +galaxies (e.g.\ Salpeter 1964; Zel'dovich \& Novikov 1964; Lynden-Bell +1969), the mechanism that provides the trigger to fuel quasars +therefore remains uncertain. Furthermore, there have been no +comprehensive models that describe the transition between ULIRGs and +quasars that can simultaneously account for observed correlations like +the $M_{\rm BH}$-$\sigma$ relation. + +Here, we study these relationships using numerical simulations of +galaxy mergers that account for the consequences of black hole growth. +In our simulations, black holes accrete and grow throughout a merger +event, producing complex, time-varying quasar activity. Quasars reach +a peak luminosity, $\Lp$, during the ``blowout'' phase of evolution +where feedback energy from black hole growth begins to drive away the +gas, eventually slowing accretion. Prior to and following this brief +period of peak activity, quasars radiate at instantaneous +luminosities, $L$, with $L < \Lp$. However, we show that even with +this complex behavior, the global characteristics that determine the +observed properties of quasars, i.e.\ lifetimes, light curves, and +obscuration, can be expressed as functions of $L$ and $\Lp$, +allowing us to make predictions for quasar populations that agree well +with observations, supporting the scenario sketched in +Figure~\ref{fig:cosmiccycle}. + +In \S~\ref{sec:methods}, we discuss our methodology and show how the +quasar lifetimes and obscuration from our simulations can be expressed +as functions of the instantaneous and peak luminosities of quasars. +We also define a set of commonly adopted models for the +quasar lifetime and obscuration against which we compare our +predictions throughout. In \S~\ref{sec:LF}, we apply our models to the +quasar luminosity function, using the observed luminosity function to +determine the distribution of quasar peak luminosities, and show that +this allows us to simultaneously reproduce the hard X-ray, soft X-ray, +and optical quasar luminosity functions at all redshifts $z\lesssim3$, +and the distribution of column densities in both optical and X-ray +samples. In \S~\ref{sec:BLqso}, we determine the time in our +simulations when quasars will be observable as broad-line objects, and +use this to predict the broad-line luminosity function and fraction of +broad-line objects in quasar samples, as a function of luminosity, as +well as the mass function of low-redshift, active broad-line +quasars. In \S~\ref{sec:eddington}, we estimate the distribution of +Eddington ratios in our simulations as a function of luminosity, and +infer Eddington ratios in observed samples at different redshifts. In +\S~\ref{sec:smbh}, we use our modeling to predict both the mass +distribution and total density of present-day relic supermassive black +holes, and describe their evolution with redshift. In \S~\ref{sec:xrb}, +we similarly apply this model to predict the integrated cosmic X-ray +background spectrum, accounting for the observed spectrum from +$\sim1-100$\,keV. In \S~\ref{sec:discussion}, we discuss the +primary qualitative implications of our results and propose +falsifiable tests of our picture. Finally, in \S~\ref{sec:finis}, +we conclude and suggest directions for future work. + +Throughout, we adopt a $\Omega_{\rm M}=0.3$, $\Omega_{\Lambda}=0.7$, +$H_{0}=70\,{\rm km\,s^{-1}\,Mpc^{-1}}$ ($h=0.7$) cosmology. + +\section{The Model: Methodology} +\label{sec:methods} + +Our model of quasar evolution has several elements, which we summarize +here and describe in greater detail below. + +\begin{itemize} + +\item In what follows, a ``quasar'' is taken to mean the course of +black hole activity in a {\em single} merger event. We use the term +``quasar lifetime'' to refer to the time spent by such a quasar at a +given luminosity or fraction of the quasar peak luminosity, integrated +over all black hole activity in a single merger event. This is not +meant to suggest that this would constitute the entire accretion +history of a black hole -- a given black hole may have multiple +``lifetimes'' triggered by different mergers, with each merger in +principle fueling a distinct ``quasar'' with its own lifetime. There +is no a priori luminosity threshold for quasar activity -- the time +history can include various epochs at low luminosities and accretion +rates. + +\item We model the galaxy mergers using hydrodynamical simulations, +varying the orbital parameters of the encounter, the internal +properties of the merging galaxies, prescriptions for the gas physics, +initial ``seed'' black hole masses of the merging systems, and +numerical resolution of the simulations. The black hole accretion +rate is determined from the surrounding gas (smoothed over the scale +of our spatial resolution, reaching $20\,$pc in the best cases), i.e.\ +the density and sound speed of the gas, and its motion relative to the +black hole, using Eddington-limited, Bondi-Hoyle-Lyttleton accretion +theory. The black hole radiates with a canonical efficiency +$\epsilon_{r}=0.1$ corresponding to a standard \citet{SS73} thin disk, +and we assume that $\sim5\%$ of this radiated luminosity is deposited +as thermal energy into the surrounding gas, weighted by the SPH +smoothing kernel (which has a $\sim r^{-2}$ profile) over the scale of +the spatial resolution. This scale is such that we cannot resolve the +complex accretion flow immediately around the black hole, but we adopt +this prescription because: (1) it reproduces the observed slope and +normalization in the $M_{\rm BH}-\sigma$ relation (Di Matteo et al.\ +2005), (2) it follows from observations, based on estimates of the +energy contained in highly-absorbed UV portion of the quasar SED +\citep[e.g.,][]{Elvis94,Telfer02}, (3) it follows from theoretical +considerations of momentum coupling to dust grains in the dense gas +very near the quasar \citep{Murray05} and hydrodynamical simulations +of small-scale radiative heating from quasar accretion \citep{CO01}, +and (4) even if the feedback is initially highly collimated, a driven +wind or shock in a dense region such as the center of the merging +galaxies will rapidly isotropize, so long as it is decelerated by +gravity and the surrounding medium, allowing the high sound speed +within the shock to equalize angle-dependent pressure variations +\citep[e.g.,][]{KM90}, and furthermore initial local distortions will +be washed away in favor of triaxial structure determined by the +large-scale density gradients \citep{BKS91}, as occurs in our +simulations. + +\item For each of our merger simulations, we compute the bolometric +black hole luminosity and column density along $\sim1000$ lines of +sight to the black hole(s) (evenly spaced in solid angle), as a +function of time from the beginning of the simulation until the system +has relaxed for $\sim1\,$Gyr after the merger. + +\item We bin different merger simulations by $\Lp$, the peak +bolometric luminosity of the black hole in the simulation, and the +conditional distributions of luminosity, $P(L|\Lp)$, and column +density, $P(\nh | L,\,\Lp)$, are computed using all simulations that +fall into a given bin in $\Lp$. The final black hole mass (black hole +mass at the end of the individual merger -- subsequent mergers and +quasar episodes could further increase the black hole mass) is +approximately $M_{\rm BH}^{f}\approx M_{\rm Edd}(\Lp)$ (but not +exactly, see \S~\ref{sec:detailsCompare}), so we obtain similar +results if we bin instead by $M_{BH}^{f}$. Our calculation of +$M_{BH}^{f}(\Lp)$ allows us to express our conditional distributions +of luminosity and column density in terms of either peak luminosity or +final black hole mass. Critically, we find that expressed in terms of +$\Lp$ or $M_{\rm BH}^{f}$, there is no systematic dependence in the +quasar evolution on the varied merger simulation properties -- this +allows us to calculate a large number of observables in terms of $\Lp$ +or $M_{\rm BH}^{f}$ without the large systematic uncertainties +inherent in attempting to directly estimate e.g.\ quasar light curves +in terms of host galaxy mass, gas fraction, multiphase pressurization +of the interstellar medium, orbital parameters and merger stage, and +other variables. + +\item The observed quasar luminosity function is the convolution of +the time a given quasar spends at some observed luminosity with the +rate at which such quasars are created. Knowing the distributions +$P(L|\Lp)$ and $P(\nh | L,\, \Lp)$, we can calculate the time spent by +a quasar with some $\Lp$ at an observed luminosity in a given +waveband. We use this to fit to observational estimates of the +bolometric quasar luminosity function $\phi(L)$, de-convolving these +quantities to determine the function $\nLp$; i.e.\ the rate at which +quasars of a given peak luminosity must be created or activated +(triggered in mergers) in order to reproduce the observed bolometric +luminosity function. + +\item Given these inputs, we determine the joint distribution in +instantaneous luminosity and black hole mass, column density +distribution, peak luminosity and final black hole mass, as a function +of redshift, i.e.\ $n(L,\,L_{\nu},\,M_{\rm BH},\,\nh ,\,\Lp,\,M_{\rm +BH}^{f}\ |\ z)$, at all redshifts where the observed quasar luminosity +function can provide the necessary constraint. From this joint +distribution, we can compute, for example, luminosity functions in +other wavebands, conditional column density distributions, active +black hole mass functions and Eddington ratio distributions, and relic +black hole mass functions and cosmic backgrounds. We can compare each +of these results to those determined using simpler models for either +the quasar lifetime or column density distributions; in +\S~\ref{sec:altmodels} we describe a canonical set of such +models, to which we compare throughout this paper. + +\end{itemize} + + +\subsection{The Simulations} +\label{sec:sims} + +The simulations were performed with {\small GADGET-2} +\citep{Springel2005}, a new version of the parallel TreeSPH code +{\small GADGET} \citep{SYW01}. {\small GADGET-2} is based on a fully +conservative formulation \citep{SH02} of smoothed particle +hydrodynamics (SPH), which maintains simultaneous energy and entropy +conservation when smoothing lengths evolve adaptively (for a +discussion, see e.g., Hernquist 1993b, O'Shea et al.\ 2005). Our +simulations account for radiative cooling, heating by a UV background +(as in Katz et al.\ 1996b, Dav\'e et al.\ 1999), and incorporate a +sub-resolution model of a multiphase interstellar medium (ISM) to +describe star formation and supernova feedback \citep{SH03}. Feedback +from supernovae is captured in this sub-resolution model through an +effective equation of state for star-forming gas, enabling us to +stably evolve disks with arbitrary gas fractions (see, e.g.\ Springel +et al.\ 2005b; Robertson et al.\ 2004). In order to investigate the +consequences of supernova feedback over a range of conditions, we +employ the scheme of \citet{SDH05b}, introducing a parameter $\qeos$ +to interpolate between an isothermal equation of state ($\qeos=0$) and +the full multiphase equation of state ($\qeos=1$) described above. + +Supermassive black holes (BHs) are represented by ``sink'' particles +that accrete gas at a rate $\Mdot$ estimated using an +Eddington-limited version of Bondi-Hoyle-Lyttleton accretion theory +(Bondi 1952; Bondi \& Hoyle 1944; Hoyle \& Lyttleton 1939). The +bolometric luminosity of the black hole is $\Lbol=\dEdt$, where +$\epsilon_r=0.1$ is the radiative efficiency. We assume that a small +fraction (typically $\approx 5\%$) of $\Lbol$ couples dynamically to +the surrounding gas, and that this feedback is injected into the gas +as thermal energy, as described above. + +We have performed several hundred simulations of colliding galaxies, +varying the numerical resolution, the orbit of the encounter, the +masses and structural properties of the merging galaxies, initial gas +fractions, halo concentrations, and the parameters describing star +formation and feedback from supernovae and black hole growth. This +large set of simulations allows us to investigate merger evolution for +a wide range of galaxy properties and to identify any systematic +dependence of our modeling. The galaxy models are described in +\citet{SDH05b}, and we briefly review their properties here. + +The progenitor galaxies in our simulations have virial +velocities $\vvir=80,$ $113,$ $160,$ $226,$ $320,$ ${\rm and}\ 500\,{\rm +km\,s^{-1}}$. We consider cases with gas equation of state parameters +$\qeos=0.25$ (moderately pressurized, with a mass-weighted temperature +of star-forming gas $\sim10^{4.5} {\rm K}$) and $\qeos=1.0$ (the full, +``stiff'' Springel-Hernquist equation of state, with a mass-weighted +temperature of star-forming gas $\sim10^{5} {\rm K}$), and initial +disk gas fractions (by mass) of $\fgas=0.2,$ $0.4,$ $0.8,$ ${\rm and}\ 1.0$. +Finally, we scale these models with redshift, altering the physical +sizes of the galaxy components and the dark matter halo concentration +in accord with cosmological evolution \citep{Mo1998}. Details are +provided in \citet{Robertson05b}, and here we consider galaxy models +scaled appropriately to resemble galaxies of the same $\vvir, \fgas, +{\rm and}\ \qeos$ at redshifts $\zgal=0,$ $2,$ $3,$ ${\rm and}\ 6$. + +For each simulation, we generate two stable, isolated disk galaxies, +each with an extended dark matter halo with a \citet{Hernquist90} +profile, motivated by cosmological simulations (e.g.\ Navarro et +al.\ 1996; Busha et al.\ 2004) and observations of halo properties +(e.g.\ Rines et al.\ 2002, 2002, 2003, 2004), an exponential disk of +gas and stars, and (optionally) a bulge. The galaxies have masses +$M_{\rm vir}=V_{\rm vir}^{3}/(10GH_{0})$ for $\zgal=0$, with the +baryonic disk having a mass fraction $m_{\rm d}=0.041$, the bulge +(when present) has a mass fraction $m_{\rm b}=0.0136$, and the rest of +the mass is in dark matter typically with a concentration parameter +$c=9.0$. The disk scale-length is computed based on an assumed spin +parameter $\lambda=0.033$, chosen to be near the mode in the observed +$\lambda$ distribution \citep{Vitvitska02}, and the scale-length of +the bulge is set to $0.2$ times the resulting value. In \citet{H05a}, +we describe our analysis of simulation A3, one of our set with +$\vvir=160\, {\rm km\,s^{-1}},\ \fgas=1.0,\ \qeos=1.0,\ {\rm and}\ +\zgal=0$, a fiducial choice with a rotation curve and mass similar to +the Milky Way, and \citet{H05b,H05c,H05d} used a set of simulations +with the same parameters but varying $\vvir=80,$ $113,$ $160,$ $226,$ ${\rm +and}\ 320\,{\rm km\,s^{-1}}$, which we refer to below as runs +A1, A2, A3, A4, and A5, respectively. + +Typically, each galaxy is initially composed of 168000 dark matter +halo particles, 8000 bulge particles (when present), 24000 gas and +24000 stellar disk particles, and one BH particle. We vary the +numerical resolution, with many of our simulations using instead twice +as many particles in each galaxy, and a subset of simulations with up +to 128 times as many particles. We vary the initial seed mass of the +black hole to identify any systematic dependence of our results on +this choice. In most cases, we choose the seed mass either in accord +with the observed $M_{\rm BH}$-$\sigma$ relation or to be sufficiently +small that its presence will not have an immediate +dynamical effect. Given the +particle numbers employed, the dark matter, gas, and star particles +are all of roughly equal mass, and central cusps in the dark matter +and bulge profiles are reasonably well resolved (see Fig 2. in +Springel et al.\ 2005b). The galaxies are then set to collide from a +zero energy orbit, and we vary the inclinations of the disks and the +pericenter separation. + +%\clearpage +\epsscale{0.9} +\begin{figure*} + \centering + \plotone{f2.ps} + %\includegraphics[width=3.7in]{f2.ps} + \caption{ + Time sequence from one of our merger simulations + ($V_{\rm vir}=160\,{\rm km\,s^{-1}}$, + initial gas fraction 20\%). Each panel is $80\,h^{-1}{\rm kpc}$ + on a side and shows the simulation time in the + upper left corner. Brightness of individual pixels gives the + logarithm of the projected stellar mass density, while color hue indicates + the baryonic gas fraction, from 20\% (blue) to less than 5\% (red). + At $T=1.03$, $1.39$ and $1.48\,{\rm Gyr}$, when + the black hole could be seen as an optical quasar, + nuclear point sources are shown, providing a representation of the + relative luminosities of stars and the quasar at these times. + \label{fig:sim.example}} +\end{figure*} +\epsscale{1} +%\clearpage + +A representative example of the behavior of the simulations is +provided in Figure~\ref{fig:sim.example}, which shows the time +sequence of a merger involving two bulge-less progenitor galaxies with +virial velocities of $160\, {\rm km\,s^{-1}}$ and initial gas +fractions of 20\%. During the merger, gas is driven to the galaxy +centers by gravitational tides, fueling nuclear starbursts and black +hole growth. The quasar activity is short-lived and peaks twice in +this merger, both during the first encounter and the final coalescence +of the galaxies. To illustrate the bright, optically observable +phase(s) of quasar activity which we identify below, we have added +nuclear point sources in +the center at the position(s) of the black hole(s) at +times $T=1.03$, $1.39$ and $1.48\,{\rm Gyr}$, generating a +surface density in correspondence to the relative luminosities of +stars and quasar at these times. At other times, the accretion +activity is either obscured or the black hole accretion rate is +negligible. To make the appearance of the quasar visually more +apparent, we have put a small part of its luminosity in ``rays'' +around the quasar. These rays are artificial and are only a visual +guide. + + +\subsection{Column Densities \&\ Quasar Attenuation} +\label{sec:NH} + +From the simulation outputs, we determine the obscuration of the black +hole as a function of time during a merger by calculating the column +density to a distant observer along many lines of sight. Typically, +we generate $\sim1000$ radial lines-of-sight (rays), each with its +origin at the black hole location and with directions uniformly spaced +in solid angle ${\rm d}\cos{\theta}\,{\rm d}\phi$. For each ray, we +begin at the origin and calculate and record the local gas properties +using the SPH formalism and move a distance along the ray $\Delta +r=\eta h_{\rm sml}$, where $\eta \leq 1$ and $h_{\rm sml}$ is the +local SPH smoothing length. The process is repeated until a ray is +sufficiently far from the origin ($\gtrsim 100$ kpc) that the column +has converged. We then integrate the gas properties along a +particular ray to give the line-of-sight column density and mean +metallicity. We have varied $\eta$ and find empirically that gas +properties along a ray converge rapidly and change smoothly for +$\eta=0.5$ and smaller. We similarly vary the number of rays and find +that the distribution of line-of-sight properties converges for +$\gtrsim 100$ rays. + +{}From the local gas properties, we use the multiphase model of the +ISM described in \citet{SH03} to determine the mass fraction in +``hot'' (diffuse) and ``cold'' (molecular and HI cloud core) phases of +dense gas and, assuming pressure equilibrium, we obtain the local +density of the hot and cold phases and their corresponding volume +filling factors. The resulting values are in rough agreement with +those of \citet{MO77}. Given a temperature for the warm, partially +ionized component of the hot-phase $\sim8000\,{\rm K}$, determined by +pressure equilibrium, we further calculate the neutral fraction of +this gas, typically $\sim0.3-0.5$. We denote the neutral and total +column densities as \NHI\ and \NH, respectively. Using only the +hot-phase density allows us to place an effective lower limit on the +column density along a particular line of sight, as it assumes a given +ray passes only through the diffuse ISM, with $\gtrsim 90\%$ of the +mass of the dense ISM concentrated in cold-phase ``clumps.'' Given the +small volume filling factor ($<0.01$) and cross section of cold +clouds, we expect that the majority of sightlines will pass only +through the ``hot-phase'' component. + +Using $\Lbol=\dEdt$, we model the intrinsic quasar continuum SED +following \citet{Marconi04}, based on optical through hard X-ray +observations +\citep[e.g.,][]{Elvis94,George98,VB01,Perola02,Telfer02,Ueda03,VBS03}, +with a reflection component generated by the PEXRAV model +\citep{MZ95}. This yields, for example, a B-band luminosity +$\log{(\LB/L_{\sun})}=0.80-0.067\mathcal{L}+0.017\mathcal{L}^{2}-0.0023\mathcal{L}^{3}$, +where $\mathcal{L} = \log{(\Lbol/L_{\sun})} - 12$, and we take +$\lambda_{B}=4400\,$\AA, but as we model the entire intrinsic SED we +can determine the bolometric correction in any frequency interval. + +We then use a gas-to-dust ratio to determine the extinction along a +given line of sight at optical frequencies. Observations suggest that +the majority of reddened quasars have reddening curves similar to that +of the Small Magellanic Cloud (SMC; Hopkins et al.\ 2004, Ellison et +al.\ 2005), which has a gas-to-dust ratio lower than the Milky Way by +approximately the same factor as its metallicity \citep{Bouchet85}. +Hence, we consider both a gas-to-dust ratio equal to that of the Milky +Way, $(A_{B}/\nhi)_{\rm MW}=8.47\times10^{-22}\,{\rm cm^{2}}$, and a +gas-to-dust ratio scaled by metallicity, $A_{B}/\nhi = +(Z/0.02)(A_{B}/\nhi)_{\rm MW}$. In both cases we use the SMC-like +reddening curve of \citet{Pei92}. The form of the correction for hard +X-ray (2-10 keV) and soft X-ray (0.5-2 keV) luminosities is similar to +that of the B-band luminosity. We calculate extinction at X-ray +frequencies (0.03-10 keV) using the photoelectric absorption cross +sections of \citet{MM83} and non-relativistic Compton scattering cross +sections, similarly scaled by metallicity. In determining the column +density for photoelectric X-ray absorption, we ignore the inferred +ionized fraction of the gas, as it is expected that the inner-shell +electrons which dominate the photoelectric absorption edges will be +unaffected in the temperature ranges of interest. We do not perform a +full radiative transfer calculation, and therefore do not model +scattering or re-processing of radiation by dust in the infrared. + +For a full comparison of quasar lifetimes and column densities +obtained varying our calculation of \NH, we refer to \citet{H05b} (see +their Figures 1, 5, \& 6), and note their conclusion that, after +accounting for clumping of most mass in the dense ISM in cold-phase +structures, the column density does not depend sensitively on our +assumptions for the small-scale physics of the ISM and obscuration -- +typically, the uncertainties in the resulting quasar lifetime as a +function of luminosity are a factor $\sim2$ at low luminosities in the +B-band, and smaller in e.g.\ the hard X-ray. Because our +determination of the quasar luminosity functions is similar using the +hard X-ray data alone or the hard X-ray, soft X-ray, and optical data +simultaneously, the added uncertainties in our calculation of $\nLp$ +in \S~\ref{sec:fullLF} below owing to the uncertainty in our $\nh$ +calculation are small compared to the uncertainties owing to +degeneracies in the fitting procedure and uncertain bolometric +corrections. + +\subsection{The \NH\ Distribution as a Function of Luminosity} +\label{sec:NHfunction} + +Next, we consider the distribution of column densities as a function +of both the instantaneous and peak quasar luminosities. For each +simulation, we consider \NH\ values at all times with a given +bolometric luminosity $L$ (in some logarithmic interval in $L$), and +determine the distribution of column densities at that $L$ weighted by +the total time along all sightlines with a given \NH. At each $L$, we +approximate the simulated distribution and fit it to a lognormal form, +\begin{equation} +P(N_{H}) = \frac{1}{\sigNH \sqrt{2 \pi}}\, \exp\left[ +\frac{-\log^2(N_{H}/\meanNH )}{2 \sigNH^{2}}\right]. +\end{equation} +This provides a good fit for all but the brightest luminosities, where +quasar feedback becomes important driving the ``blowout'' phase, and +the quasar sweeps away surrounding gas and dust to become optically +observable. + +%\clearpage +\begin{figure*} + \centering + \plotone{f3.ps} + %\includegraphics[width=3.7in]{f3.ps} + \caption{The median fitted total (neutral and ionized) column + density $\meanNH$ at each luminosity $L$ in the snapshots from our + series of simulations described in \S~\ref{sec:methods}. We compare changing + concentrations and halo properties with redshift $\zgal$ (upper + left), gas fractions $\fgas$ (upper right), the equation of state + parameter $\qeos$ (lower left), and virial velocity $\vvir$ (lower + right). At lower right, simulations with $\vvir=80, 113, 160, + 226, 320, {\rm and}\ 500\,{\rm km\,s^{-1}}$ are shown as black + asterisks, purple dots, red diamonds, green triangles, yellow + squares, and red crosses, respectively. Other than a possible + weak sensitivity to $\qeos$, the column density distribution as a + function of luminosity shows no systematic dependence on any of + the varied simulation parameters. + \label{fig:NH.systematics}} +\end{figure*} +%\clearpage + +We show the resulting median column density $\meanNH$ at each +luminosity $L$ in Figure~\ref{fig:NH.systematics}. In the upper left +panel, simulations with $\zgal=0$ are shown in black, those with +$\zgal=2$ in blue, and those with $\zgal=3$ in yellow. In the upper +right, simulations with $\fgas=0.4$ are shown in black, those with +$\fgas=0.8$ in red. In the lower left, simulations with $\qeos=0.25$ +are shown in black, those with $\qeos=1.0$ in green. And in the lower +right, simulations with $\vvir=80, 113, 160, 226, 320, {\rm and}\ +500\,{\rm km\,s^{-1}}$ are shown as black asterisks, purple dots, red +diamonds, green triangles, yellow squares, and red crosses, +respectively. Simulations with other values for these parameters (not +shown for clarity, but see e.g. Hopkins et al.\ [2005d]) show similar +trends. + +While the increase in typical $\nh$ values with luminosity +appears to contradict observations suggesting that the obscured +fraction decreases with luminosity, this is because the relationship +shown above is dominated by quasars in growing, heavily obscured +phases. In these stages, the relationship between column density and +luminosity is a natural consequence of the fact that both are fueled +by strong gas flows into the central regions of the galaxy -- more gas +inflow means higher luminosities, but also higher column densities. +During these phases, the lognormal fits to column density as a +function of instantaneous and peak luminosity presented in this +section are reasonable approximations, but they break down in the +brightest, short-lived stages of merger activity when the quasar +rapidly heats the surrounding gas and drives a powerful wind, lowering +the column density, resulting in a bright, optically observable +quasar. Including in greater detail the effects of quasar blowout +during the final stages of its growth in \S~\ref{sec:BLqso}, we find +that this modeling actually predicts the observed decrease in obscured +fraction with luminosity. + +The relationship between \NH\ and $L$ shows no strong systematic +dependence on any of the simulation parameters considered. At most, +there is weak sensitivity to $\qeos$, in the sense that the +simulations with $\qeos=1.0$ have slightly larger column densities at +a given luminosity than those with $\qeos=0.25$. We derive an +analytical model relating both the observed column density and quasar +luminosity to the inflowing mass of gas in \citet{H05d}, by +assuming that while it is growing, the black hole mass is proportional +to the inflowing gas mass in the galaxy core (which ultimately +produces the Magorrian et al.\ [1998] relation between black hole and +bulge mass), and assuming Bondi accretion, with obscuration along a +sightline through this (spherically symmetric) gas inflow. Such a +model gives the observed correlation between $N_{\rm H}$ and $L$, and +explains the weak dependence of the column density-luminosity relation +on the ISM gas equation of state. The assumptions above give a +relationship of the form +\begin{equation} +\nh\sim f_{0}\,\frac{1}{m_{H} R_{c}}\,\Bigl( \frac{c_{s}}{c}\Bigr)\,\Bigl( \frac{c L}{G^{2}}\Bigr)^{1/3}, +\end{equation} +where $f_{0}\sim50$ is a dimensionless factor depending on the +radiative efficiency, mean molecular weight, density profile, and +assumed $M_{\rm BH}-\sigma$ relation; $m_{H}$ is the mass of hydrogen; +$R_{c}$ the radius of the galaxy core ($\sim100\,{\rm pc}$); and +$c_{s}$ the effective sound speed in the central regions of the galaxy. A +$\qeos=1.0$ equation of state, with a higher effective temperature, +results in a factor of $\approx2$ larger sound speed in the densest +regions of the galaxy than a $\qeos=0.25$ equation of state +\citep{SDH05b}, explaining the weak trend seen. In any event, +the dependence is small compared to the intrinsic scatter for either +equation of state in the value of $\meanNH$ at a given luminosity, and +further weakens at high luminosity, so it can be neglected. +What may appear to be a systematic offset in $\meanNH$ with +$\vvir$ is actually just a tendency for larger $\vvir$ systems to be +at higher luminosities; there is no significant change in the +dependence of \NH\ on $L$. + +We use our large set of simulations to improve our fits (relative to +those of Hopkins et al.\ 2005d) to the \NH\ distribution as a function +of instantaneous and peak luminosities. Looking at individual +simulations, there appears to be a ``break'' in the power-law +scaling of $\meanNH$ with $L$ at $L\sim\Lcut{11}$. We find that the +best fit to the median column density $\meanNH$ is then +\begin{equation} + \meanNH = \left\{ \begin{array}{ll} + 10^{22.8}\, {\rm cm^{-2}} \Bigl( \frac{L}{\Lp}\Bigr)^{0.54} & \mathrm{ if\ } L < \Lcut{11} \\ + 10^{21.9}\, {\rm cm^{-2}} \Bigl( \frac{L}{\Lcut{11}}\Bigr)^{0.43} & \mathrm{ if\ } L > \Lcut{11}. +\end{array} + \right. +\end{equation} +Either of these two relations provides an acceptable fit to the +plotted $\meanNH$ distribution if applied to the entire luminosity +range ($\reducechi\approx2.8,\,3.2$ for the first and second +relations, respectively), but their combination provides a +significantly better fit ($\reducechi\approx1.5$), although it is +clear from the large scatter in $\meanNH$ values that any such fit is +a rough approximation. Despite the complicated form of this equation, +it is, in practice, similar to our $\meanNH\propto L^{0.35}$ +fit from previous work and $\meanNH\propto L^{1/3}$ analytical scaling +over the range of relevant luminosities, but is more accurate by a +factor $\sim2-3$ at low ($\lesssim\Lcut{9}$) luminosities. For +comparison, however, we do consider this simpler form for $\nh(L)$ as +well as our more accurate fit above in our subsequent analysis, and +find that it makes little difference to most observable quasar +properties. At the highest luminosities, near the peak luminosities +of the brightest quasars, the scatter about these fitted median +$\meanNH$ values increases, and as noted above the impact of the +quasar in expelling surrounding gas becomes important and column +densities vary rapidly. We consider this ``blowout'' phase in more +detail in \S~\ref{sec:BLqso}. + +We find that any dependence of $\sigNH$ (the fitted lognormal +dispersion) on $L$ or $L_{\rm peak}$ is not statistically significant, +with approximately constant $\sigNH\approx 0.4$ for individual +simulations. We similarly find no systematic dependence of $\sigNH$ on +any of our varied simulation parameters. However, it is important to +note that while the dispersion in \NH\ for an individual simulation is +$\sigNH\approx 0.4$, the dispersion in $\meanNH$ across all simulations at a +given luminosity is large, $\sim1$ dex. Thus, we fit the effective +$\sigNH$ at a given luminosity for the {\em distribution} of quasars +and find it is $\sigNH\approx 1.2$. Although we have slightly revised our +fits for greater accuracy at low luminosities, we note that this +relation is shallower than the relation $\nh\propto L$ roughly +expected if $M_{\rm BH}$ is constant ($L\propto\rho\propto\nh$) or +$L\propto M_{\rm BH}$ always, and strongly contrasts with unification +models which predict static obscuration, or evolutionary +models in which \NH\ is independent of $L$ up to some threshold +\citep[e.g.,][]{Fabian99}. + +\subsection{Quasar Lifetimes \&\ Sensitivity to Simulation Parameters} +\label{sec:detailsCompare} + +We define the luminosity-dependent quasar lifetime $\tQ=\tQ(\Lm)$ as +the time a quasar has a luminosity above a certain reference +luminosity $\Lm$; i.e.\ the total time the quasar shines at +$L\geq\Lm$. For ease of comparison across frequencies, we measure the +lifetime in terms of the bolometric luminosity, $L$, rather than e.g.\ +the B-band luminosity. Knowing the distribution of column densities +\NH\ as a function of luminosity and system properties (see +\S~\ref{sec:NHfunction}), we can then analytically or numerically +calculate the distribution of observed lifetimes at any frequency if +we know this intrinsic lifetime. Below $\sim1$ Myr, our estimates of +\tq\ become uncertain owing to the effects of quasar variability and +our inability to resolve the local small-scale physics of the ISM, but +this is significantly shorter than even the most rapid timescales +$\sim10$\,Myr of substantial quasar evolution. + +%\clearpage +\begin{figure} + \centering + \plotone{f4.ps} + %\includegraphics[width=3.7in]{f4.ps} + \caption{Integrated intrinsic quasar lifetime above a given + reference bolometric luminosity, $t_{Q}(L)$, as a function of + luminosity for simulations with host galaxies with total mass + (top panel) $M_{\rm gal}=0.5-2.0\times10^{12}\,M_{\sun}$, and + simulations with final black hole masses (bottom panel) + $\mbhf=0.5-2.0\times10^{8}\,M_{\sun}$ (i.e.\ similar peak + luminosity $\Lp\sim\Lcut{12}$). The simulations cover a range in + equation of state parameter $\qeos$, initial disk gas fraction + $\fgas$, galaxy redshift (for scaling of halo properties) $\zgal$, + and virial velocities $\vvir=113-160\,{\rm km\,s^{-1}}$. The black + line in both cases is for a merger involving Milky Way-like galaxy + models, which we refer to as A3, with $\fgas=1,\,\qeos=1,\,\zgal=0,\ + {\rm and}\ \vvir=160\,{\rm km\,s^{-1}}$. + \label{fig:tQ.systematics}} +\end{figure} +%\clearpage + +As before, we use our diverse sample of simulations to test for +systematic effects in our parameterization of the quasar lifetime. +Figure~\ref{fig:tQ.systematics} shows the quasar lifetime as a +function of reference luminosity $\Lm$ for both a set of simulations +with similar total galaxy mass, $M_{\rm gal}\approx10^{12}\,M_{\sun}$, +and similar final black hole mass (i.e.\ similar peak quasar +luminosity), $\mbhf\approx10^{8}\,M_{\sun}$. In each case, the +simulations cover a range in $\qeos,$ $\fgas,$ $\zgal,$ ${\rm and}\ \vvir$. + +As Figure~\ref{fig:tQ.systematics} demonstrates, at a given $M_{\rm +gal}$, there is a wide range of lifetimes, with a systematic +dependence on several quantities. For example, for fixed $M_{\rm +gal}$, a lower $\qeos$ means that the gas is less pressurized and more +easily collapses to high density, resulting in larger $\mbhf$ and +longer lifetimes at higher luminosities. Similarly, higher $\fgas$ +provides more fuel for black hole growth at fixed $M_{\rm gal}$. +However, for a given $\mbhf$, the lifetime \tq\ as a function of $\Lm$ +is similar across simulations and shows no systematic dependence on +any of the varied parameters. We find this for all final black hole +masses in our simulations, in the range +$\mbhf\sim10^{6}-10^{10}\,M_{\sun}$. We have further tested this as a +function of resolution, comparing with alternate realizations of our +fiducial A3 simulation with up to 128 times as many particles, and +find similar results as a function of $\mbhf$. + +From Figure~\ref{fig:tQ.systematics}, it is clear that the final black +hole mass or peak luminosity is a better variable to use in describing +the lifetime than the host galaxy mass. The lack of any systematic +dependence of either the quasar lifetime or \NH($L,\Lp$) on host +galaxy properties implies that our earlier results (Hopkins et al.\ +2005a-d) are reliable and can be applied to a wide range of host +galaxy properties, redshifts, and luminosities, although we refine and +expand the various fits of these works and their applications herein. +Furthermore, the large scatter in \tq\ at a given galaxy mass has +important implications for the quasar correlation function as a +function of luminosity, as one cannot associate a single quasar +luminosity with hosts of a given mass (see Lidz et al.\ 2005). + +%\clearpage +\begin{figure} + \centering + \plotone{f5.ps} + %\includegraphics[width=3.7in]{f5.ps} + \caption{Fits to the quasar lifetime as a + function of luminosity from our simulations. Upper left + shows the intrinsic, bolometric quasar lifetime $t_{Q}$ of a set + of simulations with $\Lp$ within a factor of 2 of + $\Lcut{10}$, in the manner of + Figure~\ref{fig:tQ.systematics}. The black histogram shows the + geometric mean of these lifetimes, and the black histogram in the + lower left shows the differential lifetime $\dtdL$ from this + geometric mean. The black thick line in the upper left and red + line in the lower left show the best-fit to our analytical + form, $\dtdL=t^{\ast}_{Q}\,\exp(-L/L^{\ast}_{Q})$. Upper right + shows the fitted $t^{\ast}_{Q}$ and resulting errors in each peak + luminosity (final black hole mass) interval, and the best-fit + power-law to $t^{\ast}_{Q}(\Lp)$ (red line). Lower right shows the fitted + $L^{\ast}_{Q}$ and resulting errors in each peak luminosity (final + black hole mass) interval, and the best-fit proportionality + $L^{\ast}_{Q}\propto\Lp$ (red line). + \label{fig:show.fits}} +\end{figure} +%\clearpage + +Although the truncated power-laws we have previously fitted to \tq\ +using only the A-series simulations \citep{H05b} provide +acceptable fits to all our runs, we use our new, larger set of simulations +to improve the accuracy of the fits and average over peculiarities of +individual simulations, giving a more robust prediction of the +lifetime as a function of instantaneous and peak luminosity. For a +given peak luminosity $\Lp$, we consider simulations with an $\Lp$ +within a factor of 2, and take the geometric mean of their lifetimes +\tq($L$) (we ignore any points where $\tQ<1$\,Myr, as our calculated +lifetimes are uncertain below this limit). We can then differentiate +this numerically to obtain $\dtdL$ (the time spent in a given +logarithmic luminosity interval), and fit some functions to both +curves simultaneously. Figure~\ref{fig:show.fits} illustrates this and +shows the results of our fitting. We find that both the integrated +lifetime \tq($L$) and the differential lifetime $\dtdL$ are well +fitted by an exponential, +\begin{equation} +\dtdL=t^{\ast}_{Q}\, \exp [-L/L^{\ast}_{Q}], +\end{equation} +where both $t^{\ast}_{Q}$ and $L^{\ast}_{Q}$ are functions of $\mbhf$ +or $\Lp$. The best-fit such $\dtdL$ is shown in the figure as a solid +line for simulations with $\Lp\sim\Lcut{10}$, and agrees well +with both the numerical derivative $\dtdL$ (lower left, black +histogram) and the geometric mean $\tQ(L)$ (upper left, black +histogram). This of course implies +\begin{equation} +\tQ(L)=t^{\ast}_{Q}\,\int^{\Lp}_{L}e^{-L/L^{\ast}_{Q}}\,d\log{L}, +\end{equation} +but we are primarily interested in $\dtdL$ in our subsequent +analysis. + +Although our fitted lifetime involves an exponential, it is in no way +similar to the exponential light curve of constant Eddington-ratio +black hole growth or the model in, e.g., \citet{HL98}, which give +$\dtdL=$\,{\em constant}\,$\sim t_{S}\ll t^{\ast}_{Q}$. + +Our +functional form also has the advantage that, although it should formally be +truncated with $\dtdL=0$ for $L>\Lp$, the values in this regime fall +off so quickly that we can safely use the above fit for all large +$L$. Similarly, at $L\lesssim10^{-4}\,\Lp$, $\dtdL$ falls below the +constant $t^{\ast}_{Q}$ to which this equation +asymptotes. Furthermore, in this regime, the fits above begin to +differ significantly from those obtained by fitting e.g.\ truncated +power-laws or Schechter functions. However, these luminosities are +well below those we generally consider and well below the luminosities +where the contribution of a quasar with some $\Lp$ is significant to +the observed quantities we predict. Moreover, this turndown (i.e.\ the +lower value predicted by an exponential as opposed to a power-law or +Schechter function at low luminosities) is at least in part an +artifact of the finite simulation duration. The values here are also +significantly more uncertain, as by these low relative accretion +rates, the system is likely to be accreting in some low-efficiency, +ADAF state (e.g.\ Narayan \& Yi 1995), which we do not implement +directly in our simulations. Rather than introduce additional +uncertainties into our modeling when they do not affect our +predictions, we adopt these exponential fits which are +accurate at $L\gtrsim10^{-4}-10^{-3}\,\Lp$. However, for purposes +where the faint-end behavior of the quasar lifetime is important, +such as predicting the value and evolution of the faint-end quasar +luminosity function slope with redshift, a more detailed examination +of the lifetime at low luminosities and relaxation of quasars after +the ``blowout'' phase is necessary, and we consider these issues +separately in \citet{H05f}. + +We also note that in \citet{H05c} we considered several extreme limits +to our modeling, neglecting all times before the final merger and +applying an ADAF correction at low accretion rates (taken +into account a posteriori by rescaling the radiative efficiency +$\epsilon_{r}$ with accretion rate, given the assumption that such low +accretion rates do not have a large dynamical effect on the system +regardless of radiative efficiency), and found that this does not +change our results -- the lifetime at low luminosities +may be slightly altered but the key qualitative point, that the quasar +lifetime increases with decreasing luminosity, is robust against a +wide range of limits designed to decrease the lifetime at low +luminosities. + +Figure~\ref{fig:show.fits} further shows the fitted $t^{\ast}_{Q}$ +(upper right) and $L^{\ast}_{Q}$ (lower right) as a function of peak +quasar luminosity for each $\Lp$. We find that +$L^{\ast}_{Q}$, the luminosity above which the lifetime rapidly +decreases, is proportional to $\Lp$, +\begin{equation} +L^{\ast}_{Q}=\alpha_{L}\Lp , +\end{equation} +with a best fit coefficient $\alpha_{L}=0.20$ (solid line). The weak +dependence of $t^{\ast}_{Q}$ on $\Lp$ is well-described by a power-law, +\begin{equation} +t^{\ast}_{Q}=t^{(10)}_{\ast}\,\Bigl( \frac{\Lp}{\Lcut{10}}\Bigr)^{\alpha_{T}}, +\end{equation} +with $t^{(10)}_{\ast}=1.37\times10^{9}\,{\rm yr}$ and +$\alpha_{T}=-0.11$ +%, and a double power-law fit (solid line), +%\begin{equation} +%t^{\ast}_{Q}=t^{(10)}_{\ast}\,\left[\Bigl( +%\frac{\Lp}{\Lcut{10}}\Bigr)^{\alpha_{T}}+\Bigl( +%\frac{\Lp}{\Lcut{10}}\Bigr)^{\beta_{T}}\right], +%\end{equation} +%with $t^{(10)}_{\ast}=8.8\times10^{8}\,{\rm yr}$, $\alpha_{T}=-0.71$, +%and $\beta_{T}=-0.07$. We have carried out our analysis with both +%functions and find no significant differences except for slight +%corrections to the high-mass end of the relic black hole mass +%function (see \S~\ref{sec:smbh}). Unless otherwise specified, we adopt the double +%power-law form for our calculations, as it gives a marginally better +%fit to the simulation lifetimes. + +%\clearpage +\begin{figure} + \centering + \plotone{f6.ps} + %\includegraphics[width=3.7in]{f6.ps} + \caption{Predicted quasar lifetime as a function of luminosity + compared to that obtained in simulations with and without bulges + and with different initial seed black hole masses. All simulations shown + in this plot + are initially identical to our fiducial A3 (Milky Way-like) case, + but with or without an initial stellar bulge and with an initial + seed black hole mass as labeled. Diamonds show the predicted + quasar lifetime $t_{Q}$, a function of the peak luminosity of each + simulated quasar, determined from the fits shown in + Figure~\ref{fig:show.fits}. Crosses show the lifetime determined + directly in the simulations. + \label{fig:check.MBHbulge}} +\end{figure} +%\clearpage + +The presence or absence of a stellar bulge in the progenitors can have +a significant impact on the quasar light curve (Springel et al. +2005b), primarily affecting the strength of the strong accretion phase +associated with initial passage of the merging galaxies (e.g.\ Mihos +\& Hernquist 1994). Likewise, the seed mass of the simulation black +holes could have an effect, as black holes with smaller initial masses +will spend more time growing to large sizes, and more massive black +holes may be able to shut down early phases of accretion in mergers in +minor ``blowout'' events. In Figure~\ref{fig:check.MBHbulge}, we show +various tests to examine the robustness of our fitted quasar lifetimes +to these variations. We have re-run our fiducial Milky Way-like A3 +simulation both with (right panels) and without (left panels) initial +stellar bulges in the merging galaxies and varying the initial black +hole seed masses from $10^{4}-10^{7}\,M_{\sun}$. In each case we +compare the lifetime $t_{Q}$ determined directly from the simulations +(crosses) to that predicted from our fits above (diamonds), based only +on the peak luminosity (final black hole mass) of the simulated +quasar. Again, we find that varying these simulation parameters can +have a significant effect on the final black hole mass, but that the +quasar lifetime as a function of peak luminosity is a robust quantity, +independent of initial black hole mass or the presence or absence of a +bulge in the quasar host. + +We can integrate the total radiative output of our model quasars, +\begin{equation} +E_{\rm rad}=\int^{\Lp}_{L_{\rm min}} L\,\fdtdL {\rm d}\log L, +\end{equation} +and using our fitted formulae and $L_{\rm min}\ll L^{\ast}_{Q}$ +we find +\begin{equation} +E_{\rm rad}=L^{\ast}_{Q}\, t^{\ast}_{Q}\,\log{e}\,(1-e^{-\Lp/L^{\ast}_{Q}}). +\label{eq:Erad} +\end{equation} +Knowing $E_{\rm rad}=\epsilon_{r}\mbhf c^{2}$, we can compare the +final black hole mass as a function of peak luminosity to what we +would expect if the peak luminosity were the Eddington +luminosity of a black hole with mass $M_{\rm Edd}$, $L_{\rm +Edd}=\epsilon_{r}M_{\rm Edd} c^{2}/t_{S}$, where $t_{S}$ is the +Salpeter time for $\epsilon_{r}=0.1$. Equating $E_{\rm +rad}=\epsilon_{r}\mbhf c^{2}$ with the value calculated in +Equation~\ref{eq:Erad}, and using the definition of the Eddington mass +at $L=\Lp$ and our fitted $L^{\ast}_{Q}=\alpha_{L}\Lp$, we obtain +\begin{equation} +\frac{\mbhf(\Lp)}{M_{\rm Edd}(\Lp)}=\alpha_{L} \Bigl( \frac{t^{\ast}_{Q}}{t_{S}}\Bigr) \log e +\approx1.24\, f_{T}, +\label{eq:Mbhf} +\end{equation} +where $f_{T}=(\Lp/\Lcut{13})^{-0.11}$ for the power-law fit to +$t^{\ast}_{Q}$. For our calculations explicitly involving black hole +mass, we adopt this conversion unless otherwise noted, as we have +performed our primary calculation (i.e.\ calculated $\nLp$) in terms +of peak luminosity. Moreover, although this agrees well with +the black hole masses in our simulations as a function of peak +luminosity (as it must if the fitted quasar lifetimes are accurate), +this allows us to smoothly interpolate to the highest black hole +masses ($\sim {\rm a\ few}\, \times10^{9}-10^{10}\,M_{\sun}$), which +are of particular interest in examining the black hole population but +for which the number of simulations we have with a given final black +hole mass drops rapidly. + +This gives explicitly the modifications to the black hole mass +compared to that inferred from the ``light bulb'' and +``constant Eddington ratio'' models which we outline below in +\S~\ref{sec:altmodels}, in which quasars shine at constant luminosity +or follow exponential light curves, and for which $M_{\rm +BH}^{f}=M_{\rm Edd}(\Lp) / l$, where $l$, the (constant) Eddington +ratio, is generally adopted. The corrections are small, and therefore +most of the black hole mass is accumulated in the bright, near-peak +quasar phase, in good agreement with observational estimates +\citep[e.g.,][]{Soltan82,YT02}; we discuss this in greater detail in +\S~\ref{sec:BLqso} and \S~\ref{sec:smbh}. Furthermore, the increase of +$f_{T}$ with decreasing $\Lp$ implies that lower-mass quasars +accumulate a larger fraction of their mass in slower, sub-peak +accretion after the final merger, while high-mass objects acquire +essentially all their mass in the peak quasar phase. This is seen +directly in our simulations, and is qualitatively in good agreement +with expectations from simulations and semi-analytical models in which +the $M_{\rm BH}-\sigma$ relation is set by black hole feedback in a +strong quasar phase. Compared to the assumption that +$M_{BH}^{f}=M_{\rm Edd}(\Lp)$, this formula introduces a small but +non-trivial correction in the relic supermassive black hole mass +function implied by the quasar luminosity function and $\nLp$ (see +\S~\ref{sec:smbh}). + +The predictions of our model for the quasar lifetime and evolution can +be applied to observations which attempt to constrain the quasar +lifetime from individual quasars, for example using the proximity +effect in the Ly$\alpha$ forest \citep{BDO88,HC02,Jakobsen03,YL05} and +multi-epoch observations \citep{MartiniSchneider03}. However, many +observations designed to constrain the quasar lifetime do so not for +individual quasars, but using demographic or integral arguments based +on the population of quasars in some luminosity interval +\citep[e.g.,][]{Soltan82,HNR98,YT02,YL04,PMN04,Grazian04}. Our +prediction for these observations is similar but slightly more +complex, as an observed luminosity function at a given luminosity will +consist of sources with different peak luminosities $\Lp$, but the +same instantaneous luminosity, $L$. Furthermore, the lifetime being +probed may be either the integrated quasar lifetime above some +luminosity threshold or the differential lifetime at a particular +luminosity. + +%\clearpage +\begin{figure*} + \centering + \plotone{f7.ps} + %\includegraphics[width=3.7in]{f7.ps} + \caption{Predicted distribution (fractional number density + per logarithmic interval in lifetime) of quasar lifetimes at + different bolometric luminosities, for the luminosity function + determined in \S~\ref{sec:LF} at $z=0.5$. Left panel plots the distribution of + integrated lifetimes $t_{Q}$ (time spent over the course of each + quasar lifetime above the given luminosity). Right panel plots + the distribution of differential lifetimes $\dtdL$ (time spent + by each quasar in a logarithmic interval about the given luminosity). + \label{fig:LF.lifetimes}} +\end{figure*} +%\clearpage + +For a given determination of the quasar luminosity function using our +model for quasar lifetimes and some distribution of peak luminosities, +we can predict the distribution of quasar lifetimes as a function of +the observed luminosity interval. Figure~\ref{fig:LF.lifetimes} shows +an example of such a result, using the determination of the luminosity +function below in \S~\ref{sec:fullLF}, at redshift $z=0.5$. We +consider several bolometric luminosities spanning the luminosity +function from $10^{9}-10^{14}\,L_{\sun}$, and for each, the +distribution of sources (peak luminosities), and the corresponding +distribution of quasar lifetimes. We show both the distribution of +integrated quasar lifetimes $t_{Q}$ (left panel) and the distribution +of differential quasar lifetimes $\dtdL$ (right panel). The evolution +with redshift is weak, with the lifetime increasing by $\sim1.5-2$ at +a given luminosity at $z=2$. There is furthermore an ambiguity of a +factor $\sim2$, as some of the quasars observed at a given luminosity +will only be entering a peak quasar phase, whereas the lifetimes shown +are integrated over the whole quasar evolution. This prediction is +quite different from that of the optical quasar phase which we +describe below in \S~\ref{sec:BLqso} and in \citet{H05a}, as it +considers only the intrinsic bolometric luminosity, but our modeling +and the fits provided above for the bolometric lifetime and column +density distributions should enable the prediction of these +quantities, considering attenuation, in any waveband. In either case, +it is clear that the lifetime distribution for lower-luminosity +quasars is increasingly more strongly peaked and centered around +longer lifetimes, in good agreement with the limited observational +evidence from e.g.\ Adelberger \& Steidel (2005). This is a +consequence of the fact that in our model quasar lifetimes +decrease with increasing luminosity. The range spanned in the figure +corresponds well to the range of quasar lifetimes implied by the +observations above and others \citep[e.g.][and references +therein]{Martini04}. + +\subsection{Alternative Models of Quasar Evolution} +\label{sec:altmodels} + +Our modeling reproduces at least the observed hard X-ray quasar +luminosity function by construction, since we use the observed quasar +luminosity functions to determine the birthrate of quasars of a given +$\Lp$, $\nLp$, in \S~\ref{sec:fullLF}. It is therefore useful to +consider in detail the differences in our subsequent predictions +between various models for the quasar lifetime and obscuration, in +order to determine to what extent these predictions are implied by any +model that successfully reproduces the observed quasar luminosity +function, and to what extent they are independent of the observed +luminosity functions and instead depend on the model of quasar +evolution adopted. To this end, we define two models for the +quasar lifetime, and two models for the distribution of quasar column +densities, combinations of which have been commonly used in most +previous analyses of quasars. + +For the quasar lifetime, we consider the following two cases: + +\bigskip + +{\em ``Light-Bulb Model''} \citep[e.g.,][]{SB92,KH00,WL03,HQB04}. The +simplest possible model for the quasar light curve, the ``feast or +famine'' or ``light-bulb'' model assumes that quasars have only two +states, ``on'' and ``off.'' Quasars turn ``on'', shine at a fixed +bolometric luminosity $L=\Lp$, defined by a ``constant'' Eddington +ratio (i.e.\ $\Lp=l\, M_{\rm BH}^{f}$) and constant quasar lifetime +$t_{Q,\,\rm LB}$. Models where quasars live arbitrarily long with +slowly evolving mean volume emissivity or mean light curve +\citep[e.g.][]{SB92,HM00,KH00} are equivalent to the ``light bulb'' +scenario, as they still assume that quasars observed at a luminosity +$L$ radiate at that approximately constant luminosity over some +universal lifetime $t_{Q,\,\rm LB}$ at a particular redshift. We +adopt $l=0.3$ and $t_{Q,\, \rm LB}=10^{7}\,$yr, as is commonly assumed +in theoretical work and suggested by observations (given this +prior) \citep[e.g.][]{YT02,Martini04, Soltan82,YL04,PMN04,Grazian04}, +and similar to the $e$-folding time of a black hole with canonical +radiative efficiency $\epsilon_{r}=0.1$ \citep{Salpeter64} or the +dynamical time in a typical galactic disk or central regions of the +merger. These choices control only the normalization of $\nLp$, and +therefore do not affect most of our predictions. Where the +normalization (i.e.\ value of the constant $t_{Q}$ or $l$) is +important, we allow it to vary in order to produce the best possible +fit to the observations. + +\bigskip + +{\em ``Exponential (Fixed Eddington Ratio) Model.''} A somewhat more +physical model of the quasar light curve is obtained by assuming +growth at a constant Eddington ratio, as is commonly adopted in e.g.\ +semi-analytical models which attempt to reproduce quasar luminosity +functions \citep[e.g.][]{KH00,WL03,V03}. In this model, a black hole +accretes at a fixed Eddington ratio $\eEdd$ from an initial mass +$M_{i}$ to a final mass $M_{f}$ (or equivalently, a final luminosity +$L_{f}=\eEdd\,L_{Edd}(M_{f})$), and then shuts off. This gives +exponential mass and luminosity growth, and the time spent in any +logarithmic luminosity bin is constant, +\begin{equation} +dt/\dlgL = t_{S}\,(\ln(10)/\eEdd) +\end{equation} +for $L_{i}0$ and +$\lstar=\lstar(z)$ always, the density of sources, especially as a +function of observed luminosity at some frequency, evolves in a +non-trivial manner. + +We do not find significant improvement in the fits +if we additionally allow $\nstar$ or $\sstar$ to evolve with redshift +($\Delta\chi^{2}\sim1-2$, depending on the adopted form for the evolution), +and therefore consider only the simplest parameterization above (Equation~\ref{eqn:param.evol}). +We also find acceptable fits for a pure density evolution model, with +$\lstar=$\,constant and $\nstar=\nstar^{0}\,\exp{(k_{N}\,\tau)}$ (both +keeping $\sstar$ fixed and allowing it to evolve as well). +%The best-fit values in this case are +%$(\log\nstar,k_{S},\,\log\lstar,\,\sstar)= +%(-6.11,\,5.17,\,8.80,\,1.25)$ with +%errors $(0.39,0.45,0.68,0.10)$. +However, the fits are somewhat poorer ($\reducechi\approx1$), and the resulting +parameters over-produce the present-day density of low-mass supermassive +black holes and the intensity of the X-ray background by an order of +magnitude, so we do not consider them further. In either case, there is a +considerable degeneracy between the parameters $\sstar$ and $\lstar$, +where a decrease in $\lstar$ can be compensated by a corresponding +increase in $\sstar$. This degeneracy is present +because, as indicated above, the observed luminosity function only +weakly constrains the faint-end slope of $\nLP$. + +The observations shown are insufficient at high redshift to strongly +resolve the ``turnover'' in the total comoving quasar density at +$z\sim2-3$, and thus we acknowledge that there must be corrections to +this fitted evolution at higher redshift, which we address +below. However, as we primarily consider low redshifts, $z +\lesssim 3$, +and show that +the supermassive black hole population and X-ray background are +dominated by quasars at redshifts for which our $\nLp$ distribution is +well determined, this is not a significant source of error in most of +our calculations even if we extrapolate our evolution to $z\gg3$. + +%\clearpage +\begin{figure*} + \centering + \plotone{f9.ps} + %\includegraphics[width=3.7in]{f9.ps} + \caption{Best-fit luminosity function from the pure + peak-luminosity evolution $\nLp$ distribution, for redshifts + $z=0-3$. From our fitted lognormal $\nLP$ distribution, we + simultaneously reproduce the luminosity function in the hard X-ray + (2-10 keV; solid black line), soft X-ray (0.5-2 keV; dashed red + line), and optical B-band (4400 \AA; dotted blue line) at all + redshifts. Moreover, we reproduce the distribution of broad-line + quasars in hard X-ray selected samples (cyan dot-dashed line), as + described in \S~\ref{sec:BLqso}. All quantities have been rescaled to + bolometric luminosities for ease of comparison, using the + corrections of \citet{Marconi04}, with the plotted error bars + representing both quoted measurement errors and the estimated + errors in the bolometric corrections. The observations are from + \citet{Miyaji01} (soft X-ray; red squares), \citet{Ueda03} (hard + X-ray; black circles), \citet{Croom04} (B-band, blue diamonds), + and \citet{Barger05} (X-ray selected broad-line quasars; cyan + crosses). + \label{fig:LF.all}} +\end{figure*} +%\clearpage + +Figure~\ref{fig:LF.all} shows the resulting best-fit PPLE luminosity +functions from the best-fit $\nLP$ distribution, for redshifts +$z=0-3$. This has the best-fit ($\reducechi=0.67$) values +$(\log\lstar,k_{L},\,\log\nstar,\,\sstar)= +(9.94,\,5.61,\,-6.29,\,0.91)$ +% (10.19,\,4.91,\,-6.43,\,0.91)$ +with corresponding errors $(0.29,0.28,0.13,0.09)$. +%$(0.48,0.36,0.28,0.09)$. +Here, $\lstar$ is in solar luminosities and +$\nstar$ in comoving ${\rm Mpc^{-3}\,Myr^{-1}}$. Fitting to the hard +X-ray data alone gives a similar fit, with the slightly different +values $(\log\lstar,k_{L},\,\log\nstar,\,\sstar)= +(9.54,\,4.90,\,-5.86,\,1.03) \pm (0.66,0.43,0.37,0.13)$, +$\reducechi=0.7$ (note the degeneracy between $\lstar$ and $\sstar$ in +the two fits). Our best-fit value of $k_{L}=5.6$ compares favorably to +the value $\sim6$ found by e.g.\ Boyle et al.\ (2000) and Croom et +al. (2004) for the evolution of the break luminosity in the observed +luminosity function, demonstrating that the break luminosity traces +the {\em peak} in the $\nLp$ distribution at all redshifts. These fits +and the errors were obtained by least-squares minimization over all +data points (comparing each to the predicted curve at its redshift and +luminosity), assuming the functional form we have adopted for $\nLP$. + +The agreement we obtain at all redshifts, in each of +the hard X-ray (black solid line), soft X-ray (red dashed line), and +B-band (dark blue dotted line) is good. This is not at all guaranteed +by our procedure, as the fit is highly over-constrained, because we +fit three luminosity functions each at five redshifts to only four +free parameters. Of course, the choice of the functional form for $\nLp$ +ensures that we should be able to reproduce at least one luminosity +function and its evolution (e.g.\ the hard X-ray luminosity function, +which is least affected by attenuation), but our modeling of the +column density distributions in mergers allows us to simultaneously +reproduce the luminosity functions in different wavebands without +imposing assumptions about obscured fractions or sources of +attenuation. Expressed as bolometric luminosity functions, $\phi_{B}$, +$\phi_{SX}$, and $\phi_{HX}$ would be identical in the absence of +obscuration, similar to the predicted $\phi_{HX}$ as obscuration is +minimal in the hard X-ray. + +%\clearpage +\begin{figure} + \centering + \plotone{f10.ps} + %\includegraphics[width=3.7in]{f10.ps} + \caption{Hard X-ray (thick), soft X-ray (thin), and B-band + (dot-dash) LFs determined from our model of quasar lifetimes and + column densities, based on a distribution of intrinsic source + properties fitted to the observed hard X-ray LF + and the limiting magnitudes of observed samples, at the different + redshifts shown. All quantities are rescaled to bolometric + luminosities with the bolometric corrections of \citet{Marconi04}. + Symbols show the observed LFs for hard X-rays + \citep[][diamonds]{Ueda03}, soft X-rays + \citep[][triangles]{Miyaji00}, and B-band + \citep[][crosses]{Boyle00}. Reproduced from \citet{H05d}. + \label{fig:LF.lowz}} +\end{figure} +%\clearpage + +For redshifts $z\leq1$, we reproduce in our Figure~\ref{fig:LF.lowz}, +Fig.~2 of \citet{H05d}, which shows in detail the agreement between +hard X-ray \citep{Ueda03}, soft X-ray \citep{Miyaji00}, and optical +\citep{Boyle00} luminosity functions resulting from the time and +luminosity dependent column density distributions derived from the +simulations. The differential extinction predicted for different +frequencies (and magnitude limits) of observed samples based on the +column density distributions in our simulations accounts for the +different shape of the luminosity function in each band, and the +evolution of the luminosity function with redshift is driven by a +changing $\lstar$, the peak of the $\nLp$ distribution +(Equation~\ref{eqn:param.evol}). We emphasize that in our analysis, +the key quantity constrained by observations is the fitted $\nLP$ +distribution with redshift. All other quantities and distributions are +derived from the basic input physics of our simulations, with no +further assumptions or adjustable factors in our modeling beyond the +prescription for Bondi (Eddington-limited) accretion and +$\sim5\%$ energy deposition in the ISM, which are themselves +constrained by observations and theory as discussed in +\S~\ref{sec:methods} and in Di Matteo et al.\ (2005). + +We can, of course, fit the previously defined simpler model of quasar +lifetimes, either a ``light-bulb'' or exponential light curve/fixed +Eddington ratio model, and obtain an identical hard X-ray luminosity +function. We determine these fits (see also Equation~\ref{eqn:nLp.LB} +\& \ref{eqn:nLp.Edd}) and use them throughout when we compare the +predictions of such models (described in \S~\ref{sec:altmodels}) to +those of our simulated quasar lifetimes in our subsequent +analysis. Applying a standard torus model to any model of the +luminosity function reproduces, by design, the mean offset between the +B-band and hard X-ray luminosity functions, as the parameters of this +model are {\it tuned} to reproduce this offset. As many observations +show, the fraction of broad-line quasars increases with luminosity +\citep{Steffen03,Ueda03,Hasinger04,sazrev04,Barger05,Simpson05}, and +so reproducing the relationship between B-band and hard X-ray +luminosity functions requires adding parameters to the standard torus +model which allow luminosity-dependent scalings, i.e.\ the class of +``receding torus'' models. These, again by construction, reproduce the +distinction between hard X-ray and B-band quasar luminosity functions, +including the dependence of this difference on luminosity. These are, +however, phenomenological models designed to fit these +observations. Our simulations, on the other hand, provide a +self-consistent description of the column density, which predicts the +{\em differences} between hard X-ray, soft X-ray, and optical +luminosity functions without the addition of tunable parameters or +model features designed to reproduce these observations. + +Our fits are accurate down to low luminosities, as is clear from our +prediction for the X-ray luminosity function at bolometric +luminosities $L\sim\Lcut{9}$. Furthermore, we have calculated the +predicted $z\lessim0.1$ luminosity function in the B-band as well as +in H$\alpha$ emission, using the conversion between the two from +\citet{Hao05} and comparing directly to their luminosity functions for +Seyfert galaxies and low-luminosity active galactic nuclei (AGN) (both +type I and II), and find that our distribution $\nLp$ and model for +quasar lifetimes and obscuration reproduces the complete observed +luminosity function down to a B-band luminosity $M_{B}\sim-16$. +Although our prediction falls below the observed Seyfert luminosity +function at fainter magnitudes, there is no reason to believe that +mergers should be responsible for all nuclear activity at these +luminosities (and indeed alternative fueling mechanisms for such faint +objects likely exist) - it is surprising, in fact, that this picture +reproduces the observed AGN activity to such faint luminosities. + +Using the bolometric corrections of \citet{Elvis94} instead of +\citet{Marconi04} results in a significantly steeper cutoff in the +luminosity function at high bolometric luminosities, as the bolometric +luminosity inferred for the brightest observed X-ray quasars is almost +an order of magnitude smaller using the \citet{Elvis94} +corrections. However, this is because the \citet{Elvis94} bolometric +corrections do not account for any dependence on luminosity, and +further the quasars in the sample of Elvis et al.\ (1994) are X-ray +bright \citep{ERZ02}, whereas it has been well-established that the +ratio of bolometric luminosity to hard or soft X-ray luminosity +increases with increasing luminosity +\citep[e.g.,][]{Wilkes94,Green95,VBS03,Strateva05}. Recent comparisons +between large samples of quasars selected by both optical and X-ray +surveys \citep{RisalitiElvis05} further suggests that this is an +intrinsic correlation, not driven by e.g.\ the dependence of +obscuration on luminosity. For a direct comparison of the bolometric +luminosity functions resulting from the two corrections, we refer to +\citet{H05d}. Our analysis uses the form for the UV to X-ray flux +ratio, $\alpha_{\rm OX}$, from \citet{VBS03}, but our results are +relatively insensitive to the different values found in the +literature. It is important to account for this dependence, as it +creates a significant difference in the high-luminosity end of the +bolometric quasar luminosity function and implies that a +non-negligible fraction of the brightest quasars are not seen in +optical surveys \citep[see the discussion in][]{Marconi04,Richards05}. + +%\clearpage +\begin{figure*} + \centering + \plotone{f11.ps} + %\includegraphics[width=3.7in]{f11.ps} + \caption{Running our predicted broad-line luminosity function + (determined in \S~\ref{sec:LF}, \ref{sec:BLqso}) to high redshifts, with either total + density (dashed lines) or break luminosity ($\lstar$; solid lines) + decreasing exponentially with redshift above $z=2$. In each panel, + our prediction is shown for the minimum and maximum redshift of + the corresponding interval from the COMBO-17 luminosity function + of \citet{Wolf03} (W03; black squares). Other references for the + observations shown are: R05 - \citet{Richards05}, WHO - + \citet{WHO94}, F01 - \citet{Fan01}, SSG - \citet{SSG}, KDC - + \citet{KDC}. + \label{fig:LF.highz}} +\end{figure*} +%\clearpage + +Finally, our fitted form for the evolution of the break luminosity, +with $\lstar\propto\exp{(k_{L}\tau)}$, cannot continue to arbitrarily +high redshift. At redshifts $z\gtrsim2-3$, this asymptotes +because $\tau\rightarrow 1$, whereas the observed quasar population +declines above $z\sim2$. This difference is not important for most of +our calculated observables, as they are either independent of +high-redshift evolution or evolve with cosmic time in some fashion as +$\propto\int{\nLp\,{\rm d}t}$, with little time and thus negligible +contributions to integrated totals at high redshifts. However, some +quantities, in particular the high-mass end of the black hole mass +function (see \S~\ref{sec:smbh}), which is dominated by the small +number of the brightest quasars at high redshifts, can receive large +relative contributions from these terms. Therefore, it is important in +estimating these quantities to be aware of the turnover in the quasar +density at high redshifts. + +We quantify this in Figure~\ref{fig:LF.highz}, where we show the +predicted broad-line luminosity function (where the broad-line phase +is determined below in \S~\ref{sec:smbh}) in six luminosity intervals +from $z\sim1.2-4.8$. The intervals are those of the COMBO-17 +luminosity function from \citet{Wolf03}, but we further compare to the +observed luminosity functions of \citet{WHO94}, \citet{SSG}, +\citet{KDC}, \citet{Fan01}, and \citet{Richards05} at the appropriate +(labeled) redshifts. At each redshift $z>2$, we take the +fitted $\nLp$ distribution above (Equations~\ref{eqn:nLp.lognorm},\ +\ref{eqn:param.evol}) and rescale it according to an exponential +cutoff: either pure density evolution (PDE), +$\nLp\rightarrow\nLp\times10^{-\alpha_{\rm PDE}\,(z-2)}$, or pure peak +luminosity evolution (PPLE), +$\lstar\rightarrow\lstar\times10^{-\alpha_{\rm PPLE}\,(z-2)}$. +Fitting to the data gives $\alpha_{\rm PDE}\sim0.65$ and $\alpha_{\rm +PPLE}\sim0.55$, ($\reducechi\approx1.3$ for both) in reasonable +agreement with the density evolution of e.g.\ Fan et al.\ (2001). We +note that this evolution, extrapolated as far as $z\sim6$, is +consistent also with the constraints on $z\sim6$ quasars from +\citet{Fan03}, especially in the PPLE case. + +In each panel, we plot the resulting broad-line luminosity function +(see \S~\ref{sec:BLqso}), for both the minimum and maximum redshift of +the redshift bin, and both the PPLE (solid lines) and PDE (dashed +lines) cases. The degeneracy between these +possibilities is well-known, as +current observations do not resolve the break in the luminosity +function. Furthermore, the predicted luminosity function should be +considered uncertain especially at low luminosities, as the quasar +lifetime at these luminosities and redshifts can become comparable to +the age of the Universe, at which point our formalism for the +luminosity function as a function of $\nLp$ becomes inaccurate. +However, we are able to make testable predictions, based on +differences between the two models in integrated {\em galaxy} +properties (for example, color-magnitude diagrams of red sequence +galaxies at low masses or the fraction of recently formed spheroids as +a function of mass and redshift), which distinguish the PPLE and PDE +models for the evolution of the quasar luminosity function at +$z\gtrsim2-3$ \citep{H05e}. Owing to these degeneracies and the poor +constraints on the observed high-redshift luminosity functions, we +have not considered them (those at $z>3$) in our fits to $\nLp$, but +use them here to roughly constrain the turnover in the quasar +density above $z\sim2$ (i.e.\ fitting to $\alpha_{\rm PDE}$ and +$\alpha_{\rm PPLE}$). Which form of the turnover we use makes little +difference in our subsequent analysis, but, as discussed above, +including {\em some} turnover is important in calculating select +quantities such as the extreme high-mass end of the black hole mass +function. + +\subsection{The Observed \NH\ Distribution} +\label{sec:NHdistrib} + +%\clearpage +\begin{figure*} + \centering + \plotone{f12.ps} + %\includegraphics[width=3.7in]{f12.ps} + \caption{Left panel: Distribution of column densities expected + from the characteristic quasars $\Lp\sim\lstar$ of the luminosity + function observed in optical samples, for a standard torus model + of quasar obscuration (dashed), + a receding torus model (dotted), and the distributions of column densities + as a function of instantaneous and peak luminosity in our simulations (solid). + The distribution of neutral + \NHI\ values is obtained requiring an observed B-band luminosity + $>\Lcut{11}$. The smooth red curve is the best-fit to the + $E_{B-V}$ distribution of bright SDSS quasars with $z<2.2$, from + \citet{Hopkins04}, rescaled to column densities and plotted about + a peak (mode) \NHI\ (undetermined in Hopkins et al.\ 2004) of + $\nhi\approx0.5\times10^{21}\,{\rm cm^{-2}}$. The $i$-band + absolute magnitude limit imposed in the observed sample, + $M_{i}<-22$, corresponds approximately to our plotted B-band limit + $\LBo>\Lcut{11}$. Reproduced from \citet{H05b}. Right panel: + Integrated distribution of total (neutral and ionized) column + densities expected for a complete hard X-ray sample, from the + column densities of our simulations and the $\nLp$ + distribution. The distribution below $10^{21}\ {\rm cm^{-2}}$ is + shown (dot-dashed line) and re-plotted as a single bin at + $\nh=10^{20}\ {\rm cm^{-2}}$ for our modeled columns. Data shown are the results of + \citet{Treister04} (blue squares) and \citet{Mainieri05} (red + circles), with assumed Poisson errors. Solid squares assume an + intrinsic photon index $\Gamma=1.9$, for the soft X-ray quasar + spectrum, open squares $\Gamma=1.7$. + \label{fig:NH.distrib}} +\end{figure*} +%\clearpage + +Given the column density distributions and quasar lifetimes calculated +from our simulations in \S~\ref{sec:methods}, and the quantity $\nLP$ +determined above (\S~\ref{sec:fullLF}), we can predict the +distribution of column densities observed in a given sample. This will +depend not only on the range of observed luminosities and the redshift +of the sample, but also on the minimum observed magnitude and +frequency (i.e.\ the selection function) of the sample. For a nearly +complete sample or estimate of the luminosity function, for example +the hard X-ray luminosity function, at least to $\nh\sim10^{25}\ {\rm +cm^{-2}}$, we can integrate the $\nh(L,\Lp)$ distribution over +the $\nLP$ distribution (weighted by the lifetime at $L$). + +Figure \ref{fig:NH.distrib} plots the resulting distribution of column +densities for this analysis. The left panel reproduces and expands +upon a portion of Fig.~3 of \citet{H05b}, showing the distribution of +column densities (scaled linearly) expected from the characteristic +quasars $\Lp\sim\lstar$ of the luminosity function observed in optical +samples, based on the simulated column density distributions as a +function of luminosity and peak luminosity (solid black line). +Specifically, we plot the distribution of neutral \NHI\ values +requiring that the observed B-band luminosity be above some reference +value $\LBm$. The smooth curve shown is the best-fit to the $E_{B-V}$ +distribution of bright SDSS quasars with $z<2.2$, from +\citet{Hopkins04}. The curve has been rescaled in terms of the column +density (inverting our gas-to-dust prescription) and plotted about a +peak (mode) \NHI\ (undetermined in Hopkins et al.\ 2004) of +$\nhi\approx0.5\times10^{21}\,{\rm cm^{-2}}$. The observationally +implied $E_{B-V}$ distribution is determined from fitting to the +distribution of photometric reddening in all SDSS bands (i.e.\ using +the five-band photometry as a proxy for spectral fitting) in Sloan +quasars, relative to the modal quasar colors at each redshift, for +quasars with an absolute magnitude limit $M_{i}<-22$. The $i$-band +absolute magnitude limit imposed in the observed sample, $M_{i}<-22$, +corresponds approximately to our plotted B-band limit +$\LBo>\Lcut{11}$. This estimate does not account for bright but +strongly reddened quasars having their colors altered to the point +where color selection criteria of quasar surveys will not include +them. However, this effect would only serve to bring our distribution +into better agreement with observations, as it would slightly lower +the high-\NHI\ tail. We also consider the predictions of a standard +torus model and receding (luminosity-dependent) torus model in the +figure (dashed and dotted lines, respectively). These should not be +taken literally in this case -- they reflect that these +phenomenological models do not predict the distribution of +low/moderate column densities, but rather assume that all lines +of sight not intersecting the torus are ``unobscured,'' and encounter +some constant, small column density (usually chosen to be +$\nh\sim10^{20}\,{\rm cm^{-2}}$). + +The right panel of \ref{fig:NH.distrib} shows the integrated +distribution (in $\log\nh$) for a complete hard X-ray +sample, both as predicted from our simulations based on the joint +distribution of column density, luminosity, and peak luminosity +(solid), and for both the standard torus model (dashed) and receding +torus model (dotted) described in \S~\ref{sec:altmodels}. The data +shown are the results of \citet{Treister04} (blue squares) and +\citet{Mainieri05} (red circles), with assumed Poisson errors, from +multiband {\it Chandra} and {\it HST} observations of GOODS +fields. The solid squares are obtained by assuming an intrinsic photon +index for the soft X-ray quasar spectrum of $\Gamma=1.9$, the open +squares assuming $\Gamma=1.7$. For the sake of direct comparison with +observed distributions, objects with $\nh<10^{21}\ {\rm cm^{-2}}$, for +which only an upper limit to the column density would be determined in +X-ray observations, are grouped together and plotted as a single bin +at $\nh=10^{20}\ {\rm cm^{-2}}$. The actual distribution below +$10^{21}\ {\rm cm^{-2}}$ is shown as a dot-dashed line. We note that +our model of the quasar spectrum assumes a photon index $\Gamma=1.9$ +in the soft X-ray, but this has no effect on the column densities +calculated from the surrounding gas in our simulations. + +The agreement between the observed column density distribution and the +result of our simulations once the same selection effect is applied +supports our model for quasar evolution, and the good agreement +extends to both optical and X-ray samples. Probing to fainter +luminosities or frequencies less affected by attenuation broadens the +column density distribution, as is seen from the inferred column +density distributions in the X-ray. This broadening occurs because, +at lower luminosities, observers will see both intrinsically bright +periods extinguished by larger column densities (broadening the +distribution to larger \NH\ values) and intrinsically faint periods +with small column densities (broadening the distribution to smaller +\NH\ values). The distribution as a function of reference luminosity +is a natural consequence of the dynamics of the quasar +activity. Throughout much of the duration of bright quasar activity, +column densities rise to high levels as a result of the same process +that feeds accretion, producing the well-known reddened population of +quasars \citep[e.g.][]{Webster95,Brotherton01,Francis01, +Richards01,Gregg02,White03,Richards03}, extending to bright quasars +strongly reddened by large \NHI. Furthermore, a significant number of +quasars are extinguished from optical samples or attenuated to lower +luminosities, giving rise to the distinction between luminosity +functions in the hard X-ray, soft X-ray, and optical. + +The standard torus model described in \S~\ref{sec:altmodels}, although +unable to predict the distribution of column densities seen in +optically, relatively unobscured quasars, does a fair job of reproducing +the observed distribution of X-ray column densities. The parameters of +the model are, of course, chosen to reproduce the data shown +\citep[the model parameters are taken +from][]{Treister04}. Nevertheless, our prediction is still a +better fit to the observed distribution, with +$\reducechi\approx2$ as opposed to $\reducechi\approx7$ (although the +absolute values depend on the estimated systematic +errors in the column density estimations). The receding torus model +fares even more poorly in reproducing the observed column density +distributions, and is ruled out at high significance +($\reducechi\approx10$), although this can be alleviated if the +observed samples are assumed to be incomplete above +$\nh\sim10^{23}\,{\rm cm^{-2}}$. This disagreement results because, in +order to match the observed scaling of broad-line fraction with +luminosity (see \S~\ref{sec:BLqso} below), this model assumes a +larger covering fraction for the torus at lower luminosities, +normalized to a similar obscured fraction as the standard torus model +near the break in the observed quasar luminosity function. However, +since quasars with luminosities below the break dominate the total +number counts, this predicts that the cumulative column density +distribution must be significantly more dominated by objects with +large covering angles, giving a larger Compton-thick population, +inconsistent with the actual observed column density distribution. + +Although we do not see a significant fraction of extremely +Compton-thick column densities $\nh\gtrsim10^{26}\,{\rm cm^{-2}}$ in +the distributions from our simulations, our model does not rule out +such values. It is possible that bright quasars in unusually massive +galaxies or quasars in higher-redshift, compact galaxies which we have +not simulated may, during peak accretion periods, reach such values in +their typical column densities. Moreover, as our model assumes +$\sim90\%$ of the mass of the densest gas is clumped into cold-phase +molecular clouds, a small fraction of sightlines will pass through +such clouds and measure column densities similar to those shown for +the ``cold phase gas'' in, e.g.\ Figure 2 of \citet{H05a}, +$\nh\gtrsim10^{25-26}{\rm cm^{-2}}$. + +Furthermore, we have not determined the ``shape'' at any instant of +the obscuration (e.g.\ the dependence of obscuration on radial +direction), as in practice, for most of the most strongly obscured +phases in peak merger activity, the central regions of the merging +galaxies are highly chaotic. Generally, the scale of the obscuration +in the peak merger phases is $\sim100\,$pc, quite different than that +implied by most traditional molecular torus models, but we note that +our resolution limits, $\sim 20\,$pc in the dense central regions of +the merger, prevent our ruling out collapse of gas in the central +regions into a smaller but more dense torus. However, several efforts +to model traditional tori through radiative transfer simulations +\citep[e.g.,][]{GD94,Schartmann05} suggest significant column +densities produced on scales of $\sim100-200\,$pc, comparable to our +predictions, and we note that only the solid angle covered by a torus, +not the absolute torus scale, is constrained in the typical +phenomenological torus model \citep[e.g.][]{Antonucci93}. + +Whether the obscuration of bright quasars originates on larger scales +than is generally assumed is observationally testable, either through +direct probes of polarized scattered light tracing the +obscuring/reflecting structure \citep[e.g.,][]{Zakamska05}, or through +correlations between obscuration and e.g.\ host galaxy morphologies +and inclinations \citep[e.g.,][]{Donley05}. These larger scales +typical of the central regions of a galaxy are widely accepted as the +scales of obscuration in starbursting systems (e.g.\ Soifer et +al. 1984a,b; Sanders et al.\ 1986, 1988a,b; for a review, see e.g.\ +Soifer et al.\ 1987), which in our modeling is associated with rapid +obscured quasar growth and precedes the quasar phase. Thus, it is +natural to associate obscuration with these large scales in any +picture which associates starbursts and rapid black hole growth or +quasar activity, as opposed to the smaller scales $\sim$\,pc +implied by torus models primarily developed to reproduce observations of +quiescent, low-luminosity Type II AGN, which are usually not directly +associated with merger activity. These low-luminosity AGN are in a +relaxed state, suggesting the possibility that the remaining cold gas +in the central regions of our merger remnants will collapse once the +violent effects of the merger and bright quasar phase have passed, +producing a more traditional small torus in a quiescent nucleus. The +central point is that regardless of the form of obscuration, the +typical magnitude of the obscuration is a strongly evolving function +of time, luminosity, and host system properties, and the observed +column density distributions reflect this evolution. + +\section{Broad-Line Quasars} +\label{sec:BLqso} +\subsection{Determining the Broad-Line Phase} +\label{sec:whenBL} + +Optical samples typically identify quasars through their colors, +relying on the characteristic non-stellar power-law continua of such +objects. However, observations of X-ray selected AGN show a large +population of so-called Type 2 AGN, most of which have Seyfert-like +luminosities and typical spectra in X-rays and wavelengths longward of +$1\,\mu$m \citep[e.g.,][]{Elvis94}, but are optically obscured to the +point where no broad lines are visible. Their optical continua, in +other words, resemble those of typical galaxies and thus they are not +identified by conventional color selection techniques in optical +quasar surveys. Traditional unification models \citep{Antonucci93} +have postulated a static torus as the explanation for the existence of +the Type 2 population, with such objects viewed through the dusty +torus and thus optically obscured. Moreover, both synthesis models +of the X-ray background +\citep{SW89,Madau94,Comastri95,Gilli99,Gilli01} and recent direct +observations in large surveys \citep[e.g.,][]{Zakamska04,Zakamska05} +indicate the existence of a population of Type 2 quasars, with similar +obscuration but intrinsic (unobscured) quasar-like luminosities. + +Observations of both radio-loud +\citep{HGD96,SRL99,Willott00,SR00,GRW04} and radio-quiet +\citep{Steffen03,Ueda03,Hasinger04,sazrev04,Barger05,Simpson05} +quasars, however, have shown that the broad-line fraction increases +with luminosity, with broad-line objects representing a large fraction +of all AGN at luminosities above the ``break'' in the luminosity +function and rapidly falling off at luminosities below the break. +Modifications to the standard torus unification model explain this via +a luminosity-dependent inner torus radius \citep{Lawrence91}, but this +represents a tunable modification to a purely phenomenological +model. Furthermore, as the observations have improved, it has become +clear that even these luminosity-dependent torus models cannot produce +acceptable fits to the broad line fraction as a function of luminosity +\citep[e.g.,][]{Simpson05}. However, we have shown above that the +obscuring column, even at a given luminosity, is an evolutionary +effect, dominated by different stages of gas inflow in different +merging systems giving rise to varying typical column densities, +rather than a single static structure. It is of interest, then, to +calculate when quasars will be observed as broad-line objects, and to +compare this with observations of broad line quasars and their +population as a function of luminosity. + +%\clearpage +\begin{figure*} + \centering + \plotone{f13.ps} + %\includegraphics[width=3.7in]{f13.ps} + \caption{Intrinsic (right panels) and median attenuated (left + panels) B-band luminosity of the quasar (thick line) and host + galaxy (integrated over all stars, thin line; ignoring bulge + stars, dotted line) as a function of time. Results are shown from + three representative simulations: A2, A3, and A5 (see \S~\ref{sec:sims}) + with $\qeos=1.0,\, \zgal=0$, and virial velocities + $\vvir=113,\, 160,\ {\rm and}\ 320\, {\rm km\,s^{-1}}$. Each + quasar should be observable as a broad-line AGN when $L_{\rm + B,\,QSO}\gtrsim L_{\rm B,\,host}$. Colors show the stellar light curve + with different gas fractions $\fgas=1.0$ (black), $\fgas=0.4$ (blue), + and $\fgas=0.2$ (red); quasar light curves are similar for each gas fraction. + \label{fig:BL.in.sims}} +\end{figure*} +%\clearpage + +Figure~\ref{fig:BL.in.sims} shows the B-band luminosity as a function +of time for both the quasars and host galaxies in three representative +simulations: the A2, A3, and A5 cases described in detail in +\S~\ref{sec:sims}. These simulations each have $\fgas=1.0,\, +\qeos=1.0,\, \zgal=0$, with virial velocities $\vvir=113,\, 160\, {\rm +and}\ 320\, {\rm km\,s^{-1}}$, with resulting final black hole masses +$\mbhf=3\times10^{7},\ 3\times10^{8},\ {\rm and}\ 2\times10^{9}\, +M_{\sun}$, respectively. The thick line in each case shows the quasar +B-band luminosity, and the thin line shows the integrated B-band +luminosity of all stars in the galaxy. New stars are formed +self-consistently in the simulations according to the ISM gas +properties, equation of state and star formation model described in +\citet{SH03}, with the age and metallicity taken from the local +star-forming ISM gas, which is enriched by supernova feedback from +previous star formation. We then use the stellar population synthesis +model of \citet{Bruzual03} to determine the B-band luminosity (the +B-band mass-to-light ratio) of new stars based on the stellar age and +metallicity. The dotted line shows the result neglecting bulge +particles, which must be initialized at the beginning of the +simulation with random or uniform ages and metallicities instead of +those quantities being determined self-consistently from the +simulation physics. The right panels plot the intrinsic values of +these quantities, and the left panels plot the median observed values +of these quantities, where we have used our method for determining +column densities and dust attenuation (\S~\ref{sec:NH}) to every star +and bulge particle for each line of sight. + +Unfortunately, the host galaxy luminosity does {\em not} scale +with instantaneous and peak quasar luminosity as do, for example, the +quasar lifetime and obscuration. Rather, there are important +systematic dependencies, the largest of which is the dependence on host galaxy gas +fraction. If the host galaxies are more massive, more concentrated, +or have a weaker ISM equation of state pressurization, then they will +more effectively drive gas into the central regions and maintain high +gas densities for longer periods of time, as the deeper potential well +or lack of gas pressure requires more heat input from the quasar +before the gas can be expelled. These conditions will generally +produce a quasar with a larger peak luminosity (final black hole +mass), but also form more new stars, meaning that the B-band relation +between host and quasar luminosity is roughly preserved. + +However, the the black hole consumes only a small fraction of the +available gas (comparison of e.g.\ the stellar mass and black +hole mass suggests the black hole consumes $\sim0.1\%$ of the gas +mass), and so, at least above some threshold $\fgas\lesssim0.1$, the +quasar peak luminosity does not significantly depend on the galaxy gas +fraction (see, e.g.\ Figure 2 of Robertson et al.\ 2005b). But, the +mass of new stars formed {\it during} the merger does strongly depend on the +available gas. For example, simulations which are otherwise identical +but have initial $\fgas=0.2,\ 0.4,\ 0.8,\ 1.0$ (i.e.\ an increasing +fraction of the initial disk mass in gas instead of stars) produce +similar peak quasar luminosity and final total stellar mass (within +$\sim30\%$ of one another), reflecting the conversion of most +gas into stars and the fact that the peak quasar luminosity is +determined more by the depth of the potential well than the total +available gas supply. But, the mass of {\it new} +stars formed in a merger scales +roughly as $M_{\ast,\, \rm new}\propto \fgas$ (as it must if the +initial gas fraction does not change the final total stellar mass), +and since young stellar populations dominate the observed B-band +luminosity (especially during the peak merger and starburst phases +associated with the bright quasar phase of interest), this implies +roughly that $L_{B}\propto\fgas$. + +We demonstrate this explicitly in Figure~\ref{fig:BL.in.sims}, where +we show in each panel the host galaxy and stellar B-band light curves +for otherwise identical simulations with different gas fractions, +$\fgas=0.2\ {\rm (red)},\ 0.4\ {\rm (blue)},\ {\rm and}\ 1.0\ {\rm +(black)}$. In each of these cases, the quasar light curve is nearly +identical (we show only the $\fgas=1.0$ quasar lightcurve, for +clarity, but the others are within $\sim30\%$ of the curve shown at +most times, with no systematic offset). + +In order for a quasar to be classified as a ``broad-line'' object, the +optical spectrum must be visible and identified as such in the +observed sample. This is clearly related to the ratio of quasar to +host galaxy luminosity, but the threshold for classification is not +obvious. In an X-ray or IR-selected sample, optical follow-up should +be able to disentangle host galaxy light and identify quasar +broad-line spectra with fluxes a factor of several fainter than the +host. However, automated optical selection based on color or +morphological criteria might well exclude objects unless the quasar +luminosity is a factor of several greater than that of the host +galaxy. Therefore, there is significant systematic uncertainty in the +theoretical definition of a broad-line quasar. To first order, based +on the above arguments, we can classify ``broad-line quasars'' as +objects in which the quasar optical luminosity is larger than some +multiple $f_{\rm BL}$ of the host galaxy optical luminosity. Because +the relevant ratio is different depending on the survey and selection +techniques, we consider the range $f_{\rm BL} = 0.3-3$, with a rough +median $f_{\rm BL}=1$. Furthermore, because our simulations do not +allow us to model the broad-line regions of the quasar or spectral +line structures as influenced by e.g.\ reddening and dust absorption, +we adopt the B-band luminosity of the quasar and host galaxy as +a proxy for optical luminosity and more complex (but often quite +sample-specific) color and morphological selection criteria. + +%\clearpage +\begin{figure} + \centering + \plotone{f14.ps} + %\includegraphics[width=3.7in]{f13.ps} + \caption{Ratio of observed (attenuated) B-band quasar luminosity to host galaxy luminosity + as a function of the ratio of instantaneous to peak quasar bolometric luminosity. Results are + from simulations A2 (black diamonds), A3 (blue circles), and A5 (red $\times$'s) + (the same simulations shown in Figure~\ref{fig:BL.in.sims}) + with $\qeos=1.0,\, \zgal=0$, and virial velocities + $\vvir=113,\, 160,\ {\rm and}\ 320\, {\rm km\,s^{-1}}$. + Each panel shows the same simulations except for a + different initial gas fraction $\fgas = 0.2,\ 0.4,\ 0.8,\ 1.0$ as labeled. Solid lines are the + predictions of Equation~\ref{eqn:BL.scaling}. + \label{fig:test.BL}} +\end{figure} +%\clearpage + +In Figure~\ref{fig:BL.in.sims}, the B-band host galaxy luminosity is +quite flat as a function of time, relative to the quasar B-band +luminosity, and is roughly given by $L_{B}^{\rm gal}/L_{\sun}\sim +M_{\ast,\, \rm new}/M_{\sun}$, where $M_{\ast,\, \rm new}$ is the mass +of new stars formed in the merger. As noted above, this scales +approximately linearly with initial gas fraction at fixed final total +stellar mass $M_{\ast}$, giving $L_{B}^{\rm gal}/L_{\sun}\approx +c_{\rm gal} (M_{\ast}/M_{\sun})\fgas$, where $c_{\rm gal}$ is a +correction of order unity which we can fit from the simulations +(essentially a mean mass-to-light ratio for the newly formed stars). +The bolometric correction of the quasar is usually defined by $L_{\rm +bol}^{\rm qso}=c_{B}L_{B}^{\rm qso}$, and the quasar peak luminosity +is $\Lp=c_{L}\, L_{\rm Edd}(M_{\rm BH}^{f})$, where again $c_{L}$ is a +correction factor of order unity which we can calculate from our form +for the quasar lifetime (see Equation~\ref{eq:Mbhf}) or measure in the +simulations. + +If we require that the quasar B-band luminosity be +larger than a factor $f_{\rm BL}$ of the host galaxy B-band +luminosity, we obtain +\begin{equation} +L_{\rm bol}^{\rm qso}/L_{\sun}>f_{\rm BL} c_{B}\, c_{\rm gal} (M_{\ast}/M_{\sun}) \fgas. +\end{equation} +Dividing this through by $\Lp$, we have +\begin{equation} +\frac{L_{\rm bol}^{\rm qso}}{\Lp}\gtrsim0.4\,\fgas\,f_{\rm BL}\ +{\Bigl(}\frac{c_{\rm gal}}{1.0}{\Bigr)} +{\Bigl(}\frac{c_{B}}{12.0}{\Bigr)} +{\Bigl(}\frac{M_{\rm BH}^{f}/M_{\ast}}{0.001}{\Bigr)}^{-1} +{\Bigl(}\frac{c_{L}}{1.24}{\Bigr)}^{-1}. +\end{equation} +We can test this scaling relation against the results of our simulations, +and do so in Figure~\ref{fig:test.BL}. Rearranging the equations above +gives +%\begin{equation} +%\begin{split} +%\frac{L_{B}^{\rm qso}}{L_{B}^{\rm gal}} \approx +%&\ 3.4\,\fgas^{-1}\,\frac{L_{\rm bol}^{\rm qso}}{\Lp}\\ +%&\times{\Bigl(}\frac{c_{\rm gal}}{1.0}{\Bigr)}^{-1} +%{\Bigl(}\frac{c_{B}}{12.0}{\Bigr)}^{-1} +%{\Bigl(}\frac{M_{\rm BH}^{f}/M_{\ast}}{0.001}{\Bigr)} +%{\Bigl(}\frac{c_{L}}{1.24}{\Bigr)}, +%\end{split} +%\label{eqn:BL.predict} +%\end{equation} +\begin{eqnarray} +\frac{L_{B}^{\rm qso}}{L_{B}^{\rm gal}} &\approx +&\ 3.4\,\fgas^{-1}\,\frac{L_{\rm bol}^{\rm qso}}{\Lp}\nonumber\\ +&&\times{\Bigl(}\frac{c_{\rm gal}}{1.0}{\Bigr)}^{-1} +{\Bigl(}\frac{c_{B}}{12.0}{\Bigr)}^{-1} +{\Bigl(}\frac{M_{\rm BH}^{f}/M_{\ast}}{0.001}{\Bigr)} +{\Bigl(}\frac{c_{L}}{1.24}{\Bigr)}, +\label{eqn:BL.predict} +\end{eqnarray} +which we can compare to our direct calculation of +$L_{B}^{\rm qso}/{L_{B}^{\rm gal}}$ and $L_{\rm bol}^{\rm qso}/\Lp$ +for each simulation snapshot. + +Ultimately, we are not interested so much in the intrinsic B-band +luminosity of the quasar and host galaxy, but rather the observed +luminosities; i.e.\ we are interested in the ratio ${L_{B, \rm\ +obs}^{\rm qso}}/{L_{B, \rm\ obs}^{\rm gal}} = ({L_{B}^{\rm +qso}}/{L_{B}^{\rm gal}})\,(\exp\{-(\tau_{Q}-\tau_{G})\})$, where +$\tau_{Q}$ and $\tau_{G}$ are ``effective'' optical depths which we +use to denote the mean attenuation of quasar and host galaxy B-band +luminosities, respectively. We have considered the distribution of +column densities attenuating the quasar as a function of instantaneous +and peak quasar luminosity in detail in \S~\ref{sec:NHfunction} above; +the attenuation of the host galaxy as a function of luminosity, +observed band, halo mass, and star formation rate are discussed in +detail in \citet{Jonsson05}. Combining these fits gives, roughly, +$(\exp\{-(\tau_{Q}-\tau_{G})\})\sim (M_{\rm +BH}^{f}/10^{8}\,M_{\sun})^{0.16}$, but a better approximation can be +determined directly from the simulations. + +This scaling can be understood roughly using toy models of uniformly +mixed luminous sources within the galaxy described by +\citet{Jonsson05}, after accounting for the fact that the luminosity +(star formation rate) dependent portion of the attenuation scales with +luminosity in a similar manner to our quasar attenuation (compare our +$\tau_{Q}\propto\nh\propto L_{\rm qso}^{0.43-0.54}$ to their +$\tau_{G}\propto L_{\rm B,\ gal}^{0.55}$). The key consequence of this +is that more massive systems (higher bulge and black hole masses) have +their host galaxy light proportionally more attenuated in mergers, +meaning that (as suggested by the comparison of light curves in +Figure~\ref{fig:BL.in.sims}) the quasar is more likely to be observed +with an optical luminosity larger than that of its host. + +Figure~\ref{fig:test.BL} plots the ratio of the observed (attenuated) +B-band quasar luminosity to the observed host galaxy B-band luminosity +as a function of the ratio of instantaneous to peak quasar bolometric +luminosity. We show the results for four different gas fractions +$\fgas = 0.2,\ 0.4,\ 0.8,\ 1.0$ as labeled. For each gas fraction, we +consider our simulations A2 (black diamonds), A3 (blue circles), and +A5 (red $\times$'s) (the same simulations shown in +Figure~\ref{fig:BL.in.sims}) with $\qeos=1.0,\, \zgal=0$, and virial +velocities $\vvir=113,\, 160\, {\rm and}\ 320\, {\rm km\,s^{-1}}$, +using the labeled initial gas fraction. The colored lines in each +panel show the predictions of combining the scalings expected for the +intrinsic luminosities (Equation~\ref{eqn:BL.predict}) and +attenuations as above, giving +\begin{equation} +\frac{L_{\rm B,\ obs}^{\rm qso}}{L_{\rm B,\ obs}^{\rm gal}}=7.9\,\frac{1}{\fgas}\, +{\Bigl(}\frac{M_{\rm BH}^{f}}{10^{8}\,M_{\sun}}{\Bigr)}^{0.2}\ \frac{L}{\Lp}, +\label{eqn:BL.scaling} +\end{equation} +where the colored lines each use the $M_{\rm BH}^{f}$ and $\fgas$ of +the simulation of the corresponding color and panel. This scaling +provides a good estimate of the observed optical quasar-to-galaxy +luminosity ratio, including the complicated effects of attenuation, +evolving mass-to-light ratios, metallicities, and host galaxy +properties, as a function of gas fraction, final black hole mass, and +the ratio of the current to peak quasar luminosity. Although, for +clarity, we have not shown a range of simulations varying other +parameters, we find that this scaling is robust to the large number of +quantities we have considered in our simulations -- there +are systematic offsets in e.g.\ $\Lp$ and $M_{\rm BH}^{f}$ with +changes such as e.g.\ different ISM equations of state, but the +scaling in terms of $\Lp$ and $M_{\rm BH}^{f}$ is unchanged. + +Because the ratio of observed quasar and host galaxy B-band +luminosities in our simulations obeys the scaling of +Equation~\ref{eqn:BL.scaling}, we can use it to predict the +properties of ``broad-line'' quasars, defined by $L_{\rm B,\ obs}^{\rm +qso}>f_{\rm BL} L_{\rm B,\ obs}^{\rm gal}$. To do so, +however, we must assume a typical host galaxy gas +fraction. Unfortunately, because our empirical modeling in terms of +the quasar lifetime as a function of $L$ and $\Lp$ does not have a +systematic dependence on host galaxy gas fraction (see +\S~\ref{sec:detailsCompare}), we have no constraint on this parameter. +It is, however, convenient for several reasons to consider +$\fgas=0.3$ as a typical value for bright quasars. + +First, such a gas +fraction is capable of yielding the brightest observed +quasars; second, scaling a Milky-Way like disk with the observed $z=0$ +gas fraction $\sim0.1$ to the redshifts of peak quasar activity gives +a similar gas fraction \citep[e.g.,][]{SDH05a}; third, gas fractions +$\gtrsim30\%$ in major mergers are needed to explain the observed +fundamental plane (Robertson et al.\ 2005c, in preparation), kinematic +properties (Cox et al.\ 2005c, in preparation), and central phase +space densities (Hernquist, Spergel \& Heyl 1993) of elliptical +galaxies; fourth, this choice implies that the brightest quasars with +$M_{\rm BH}^{f}\sim10^{10}\,M_{\sun}$ attain observed B-band +luminosities $\sim1000$ times that of their hosts at their peaks, as +is observed \citep[e.g.,][]{MD04}. Finally, and most important, the +assumed $\fgas$ and $f_{\rm BL}$ are degenerate in our predictions for +the broad-line population, as they both enter linearly in the ratio of +host galaxy to quasar B-band luminosity. Therefore, the range of +$f_{\rm BL}=0.3-3$ which we consider (for a fixed median $\fgas=0.3$) +can be equivalently considered, for a fixed median $f_{\rm BL}=1$, to +represent a theoretical uncertainty in the host galaxy gas fraction, +$\fgas=0.1-0.9$; i.e.\ spanning the range from present, relatively +gas-poor Milky-Way like disks to almost completely gaseous +disks. This, then, gives for our ``broad-line'' criterion, +\begin{equation} +\frac{L}{\Lp}\gtrsim 0.2\,{\Bigl(}\frac{f_{\rm BL}}{1.0}{\Bigr)}\, +{\Bigl(}\frac{\fgas}{0.3}{\Bigr)}\, +{\Bigl(}\frac{M_{\rm BH}^{f}}{10^{7}\,M_{\sun}}{\Bigr)}^{-0.2}. +\label{eqn:BL.min} +\end{equation} + +The ``broad-line'' phase is thus, as is clear from +Figure~\ref{fig:BL.in.sims} and implicit in our definition of the +broad-line phase, closely associated with the final ``blowout'' stages +of quasar evolution, when the mass of the quasar reaches that +corresponding to its location on the $M_{\rm BH}-\sigma$ relation and +gas is expelled from the central regions of the galaxy, shutting down +accretion \citep{DSH05}. We note that combining the equation above +with our fitted quasar lifetimes gives an integrated time when the +quasar would be observable as a broad line object of $t_{\rm +BL}\sim10-20$\,Myr, in good agreement with the optically observable +bright quasar lifetimes we calculate directly from our quasar light +curves, including the effects of attenuation, and with empirical +estimates of the quasar lifetime which are based directly on +optically-selected, broad-line quasar samples. + +The $({M_{\rm BH}^{f}}/{10^{7}\,M_{\sun}})^{0.2}$ term in the above +equation reflects the fact that, below a certain peak luminosity, +quasars are less likely to reach luminosities above that of the host +galaxy, as can be seen in the uppermost panels of +Figure~\ref{fig:BL.in.sims} for a final black hole mass of +$\mbhf=3\times10^{7}$ -- i.e.\ the smallest AGN are +proportionally less optically luminous than their hosts. This does +not imply that such systems are not inherently broad-line objects, but +only that the host galaxy light will increasingly dominate at lower +luminosities. We also caution against extrapolating this to large or +small $M_{\rm BH}^{f}$, as the attenuation becomes more difficult +to predict at these peak luminosities, and the linear formula above is +not always accurate (see Figure~\ref{fig:test.BL}). + +We can use this estimate of the broad-line phase and our model of the +quasar lifetime to calculate the total energy radiated in this bright, +optically observable stage following the calculation of +\S~\ref{sec:detailsCompare}, but with a minimum luminosity determined +by Equation~\ref{eqn:BL.min}. This gives an integrated fraction +$\sim0.3-0.4$ ($\sim\exp\{-0.2\,f_{\rm BL}\,(\fgas/0.3)/\alpha_{L}\}$) +of the total radiant energy emitted during the broad-line phase. Thus, +despite the short duration of this optical quasar stage, a large +fraction of the total radiated energy is emitted (as it represents the +final $e$-folding in the growth of the black hole) when most of the +final black hole mass (\S~\ref{sec:detailsCompare}) is accumulated. +Accounting for the luminosity dependence of our bolometric corrections +(with the optical fraction of the quasar energy increasing with +bolometric luminosity) as well as the small fraction of objects +observable at lower luminosities (with larger typical obscuring column +densities) increases this fraction to as much as $\sim0.6-0.7$ for +bright quasars. Therefore, despite the fact that the {\em duration} +of the optically observable broad-line quasar phase may be $\sim1/10$ +that of the obscured quasar growth phase, the changing quasar +luminosity over this period and non-trivial quasar lifetime as a +function of luminosity implies only small corrections to counting +arguments such as that of \citet{Soltan82}, which rely on the total +observed optical quasar flux density to estimate the relic +supermassive black hole density. + +\subsection{The Broad-Line Fraction as a Function of Luminosity} +\label{sec:BLfraction} + +By estimating the time that a quasar with some $\Lp$ will be +observable as a broad-line quasar at a given luminosity, we can then +calculate the broad-line quasar luminosity function in the same +fashion as the complete quasar luminosity function in +\S~\ref{sec:fullLF}. Instead of the full quasar lifetime $\dtdL$, we +consider only the time during which broad-lines would be observed +(i.e.\ that the quasar spectrum would be recognized as opposed to the +host galaxy spectrum), as identified in our simulations +(\S~\ref{sec:whenBL}). + +For a sample selected in hard X-rays (i.e.\ the selection function +only being relevant at column densities $\gtrsim10^{24}\ {\rm +cm^{-2}}$), we show the resulting ``broad-line'' luminosity function +in Figure~\ref{fig:LF.all} (cyan dot-dashed lines), and compare it to +the broad-line quasar luminosity function identified in the hard X-ray +luminosity function of \citet{Barger05}. The agreement is good at all +luminosities, and our model explains both the fact that broad-line +quasars dominate the luminosity function at luminosities well above +the ``break'' in the luminosity function, and the downturn in the +broad-line quasar population at luminosities below the +peak. Essentially, the broad-line quasar population more closely +traces the shape of the $\nLP$ distribution, giving rise to the +observed behavior as a dual consequence of luminosity-dependent quasar +lifetimes and the evolutionary nature of quasar obscuration in our +simulations. + +%\clearpage +\begin{figure*} + \centering + \plotone{f15.ps} + %\includegraphics[width=3.7in]{f14.ps} + \caption{Broad-line quasar luminosity function of + \citet{Richards05} from the 2dF-SDSS (2SLAQ) survey (black squares) and that + of \citet{Croom04} (green circles) from the 2dF survey, compared + to our predicted ``broad-line'' luminosity function from our + determination of the relative quasar and host galaxy luminosities in our simulations + (solid line), where we estimate that quasars are observable as ``broad-line'' objects + when their observed B-band luminosity is greater than a factor $f_{\rm BL}$ of that of the host galaxy, + Solid lines are + shown for the minimum and maximum observed redshift in each bin + (as labeled), assuming $f_{\rm BL}=1$. Dotted lines show the result for + $f_{\rm BL}=0.3$ and $f_{\rm BL}=3$, at the mean redshift + of the bin, i.e.\ corresponding to ``broad-line'' luminosity functions in surveys + which are complete to quasars with observed optical luminosity $\sim0.3$ + and $3$ times that of the host galaxy, respectively, or alternatively reflecting + nearly complete theoretical uncertainty regarding merging galaxy gas fractions ($\fgas=0.1-0.9$). + Open squares are observations with uncertain incompleteness corrections + in \citet{Richards05}. + \label{fig:LF.sdss}} +\end{figure*} +%\clearpage + +Figure~\ref{fig:LF.sdss} compares our theoretical predictions to the +2dF-SDSS (2SLAQ) g-band luminosity function of broad-line quasars from +\citet{Richards05} (black squares), as well as the B-band luminosity +function from \citet{Croom04} (green circles), at several redshifts +from $z\sim0.3-2$, over which range the surveys are expected to be +relatively complete (for broad-line quasars). The 2dF-SDSS result is +the most recent determination of the broad-line luminosity function, +but compares well with previous determinations by, e.g., +\citet{Boyle88}, \citet{KK88}, \citet{MZZ88}, \citet{Boyle90}, +\citet{BJS91}, \citet{Zitelli92}, \citet{Boyle00}, and +\citet{Croom04}. Open squares correspond to bins in luminosity which +have been corrected for incompleteness following +\citet{PageCarrera00}, but this correction is uncertain as the bins +are not uniformly sampled. We compare this at each redshift to the +prediction of our determination of the quasar ``broad-line'' phase, +where we estimate that the quasar is observable as a broad line object +when its observed B-band luminosity is greater than a factor $f_{\rm +BL}=1$ of that of the host galaxy. We calculate this for both the +minimum and maximum observed redshift of each bin to show the range +owing to evolution of the luminosity function over each interval in +redshift. The systematic uncertainty in our prediction can be +estimated from the dotted lines, which show the prediction (at the +mean redshift of the bin) if we instead require the observed quasar +B-band luminosity to be above a factor of 0.3 (upper lines) or 3 +(lower lines) of the observed host galaxy B-band luminosity, which as +discussed in \S~\ref{sec:whenBL} can alternatively be considered an +uncertainty in host galaxy gas fraction, with $\fgas=0.1$ and +$\fgas=0.9$, respectively. + +The agreement at all luminosities and redshifts shown is encouraging, +given the simplicity of our determination of the broad-line phase from +the simulations, but the systematic uncertainties are large, +emphasizing the importance of calculating detailed selection effects +in contrasting e.g.\ ``broad-line'' samples from optical and X-ray +surveys, as opposed to assuming a constant obscured fraction at a +given luminosity based on the ratio of luminosity functions as has +been adopted in previous phenomenological models. The difference +between different choices of $\fgas$ is suppressed at the high +luminosity (and correspondingly high redshift) end of the luminosity +function, because the quasar-to-galaxy B-band luminosity ratio scales +as $\propto (M_{\rm BH}^{f})^{0.2}$; i.e.\ regardless of the choice of +$f_{\rm BL}$, quasars increasingly overwhelm their host galaxy in +large systems near their peak luminosity. However, at low luminosity, +the predictions rapidly diverge, implying that a measurement of the +faint end of the broad-line quasar luminosity function, with a +reliable calibration of $f_{\rm BL}$, can constrain the typical gas +fractions of quasar host galaxies and the evolution of these gas +fractions with redshift. + +%\clearpage +\begin{figure} + \centering + \plotone{f16.ps} + %\includegraphics[width=3.7in]{f15.ps} + \caption{Predicted ``broad-line'' fraction of a complete X-ray + sample at low $z\lesssim0.3$ redshift, from our simulations (where + the object is observable as a broad-line quasar when it has an observed B-band + luminosity greater than a factor $f_{\rm BL}=1.0$ of that of its host galaxy), is shown (thick black + line). The results, changing our $f_{\rm BL}$ to 0.3 and + 3.0 are shown, or equivalently of assuming a host galaxy gas fraction $\fgas=0.1$ + or 0.9 instead of $\sim0.3$ (dashed), as are the results assuming a + ``light bulb'' model where quasars spend a fixed time + $t_{Q}=20$\,Myr as broad line objects with a luminosity of $\Lp$ + (dotted). For comparison, the (scaled to 2-10 keV luminosity) + observations of \citet{Ueda03} (squares), \citet{Hasinger04} + (circles), \citet{GRW04} (triangles), and \citet{Simpson05} + (diamonds) are shown. The predicted result at higher redshift + ($z\gtrsim1$) is shown (red dot-dashed line), offset owing to the + shift in break luminosity of the luminosity function with + redshift. The best-fit luminosity-dependent torus model, {\em + fitted} to the data, is shown as the solid cyan line. The best-fit + static torus model is a constant broad-line fraction $\sim0.3$ (not shown for clarity). + \label{fig:BL.fraction}} +\end{figure} +%\clearpage + +By dividing out the predicted luminosity function $\phi_{HX}$, we +can estimate the fraction of ``broad line'' objects observed in reasonably +complete X-ray samples as a function of luminosity. This is shown in +Figure~\ref{fig:BL.fraction}, where for ease of comparison we have +shown the broad-line fraction as a function of hard X-ray (2-10 keV) +luminosity. Our prediction, based on determining the time +a quasar with a given luminosity $L$ and peak luminosity $\Lp$ +in our simulations will be observable with a B-band luminosity greater +than a fraction $f_{\rm BL}=1.0$ of the host galaxy observed B-band +luminosity, is shown as the thick black line. This is compared to +the observations of \citet{Ueda03} (squares), \citet{Hasinger04} +(circles), \citet{GRW04} (triangles), and \citet{Simpson05} +(diamonds). The data from \citet{Hasinger04} has been scaled from +soft X-ray (0.5-2 keV) using our bolometric corrections, and the data +from \citet{GRW04} and \citet{Simpson05} have been converted from +[O{\sc~iii}] luminosity as in \citet{Simpson05} using the mean +correction for Seyfert galaxies \citep{Mulchaey94}, $L_{\rm +[O\,III]}=0.015\times L_{\rm 2-10\,keV}$. + +We also plot as upper and lower dashed lines the results of changing +$f_{\rm BL}$, the fraction of the host galaxy B-band luminosity above +which the quasar B-band luminosity must be observed for identification +as a ``broad-line'' object, considering $f_{\rm BL}=0.3,\ {\rm and}\ +3$, respectively. We determine this for the low-redshift +$z\lesssim0.3$ quasar distribution, from which most of the data are +drawn. The red dot-dashed line shows the difference at high redshift, +if just $z\gtrsim1$ quasars are considered (for $f_{\rm BL}=1$). The +broad-line fraction is systematically lower, primarily because the +break luminosity in the luminosity function moves to higher luminosity +with redshift, meaning that at a fixed luminosity below the break, a +smaller fraction of observed objects are at $L\sim\Lp$ in the +``blowout'' phase of peak optical quasar luminosity. Finally, the +dotted line shows the results assuming a ``light bulb'' model for the +broad-line phase (but still using our $\nLp$ distribution, otherwise +this translates to a constant obscured fraction with luminosity) +lifetimes, with a fixed broad-line lifetime of $t_{Q}=20\,$Myr. + +The prediction of the most basic torus model, with constant broad-line +fraction $\sim0.36$, is ruled out to high significance +($\reducechi=18.5,\ 17.2$ if we consider all data points, or if we +consider only the most well-constrained data, from Simpson [2005], +respectively). Furthermore, the solid cyan line shows the best-fit +luminosity-dependent torus model, in which the broad line fraction is +given by \citep[e.g.,][]{Simpson98,GRW04} +\begin{equation} +f = 1 - 1/\sqrt{1 + 3L/L_{0}}, +\end{equation} +where $L_{0}$ is the luminosity where the number of broad line objects +is equal to the number of non-broad line objects. This fit is at best +marginally acceptable over a narrow range in luminosities +($\reducechi=14.0,\ 7.3$). Modified luminosity-dependent, receding +torus models have been proposed which give a better fit to the data +by, for example, allowing the torus height to vary with luminosity +\citep[e.g.,][]{Simpson05}, but there is no physical +motivation for these changes, and they introduce such variation +through additional free parameters that allow a curve of +essentially arbitrary slope to be fitted to the data. + +However, the prediction of our model agrees reasonably well +($\reducechi=4.0,\ 1.2$) with the observations over the entire range +covered, a span of six orders of magnitude in luminosity. We emphasize +that our prediction, which matches the data better than standard torus +models that are actually {\em fitted} to the data, is not a fit to the +observations. Instead, it is derived from the physics of our +simulations, including black hole accretion and feedback which are +critical in driving the ``blowout'' phase which constitutes most of +the time a quasar is visible as a ``broad-line'' object by our +estimation, and from the $\dot n(L_{\rm peak})$ distribution implied +by our model of quasar lifetimes and the {\em bolometric} quasar +luminosity function. The agreement suggests that our choice of the +parameter combination $f_{\rm BL}\fgas=0.3$ is a good approximation. +As noted above, this implies that calibrating $f_{\rm BL}$ for an +observed sample, combined with the mean broad-line fraction and our +modeling, can provide a constraint (albeit model-dependent) on the +host galaxy gas fraction of quasars at a given redshift, which cannot +necessarily be directly measured even with difficult, detailed host +galaxy probes, as gas is rapidly converted into stars throughout the +merger. The uncertainty plotted, while large, actually represents a +larger theoretical uncertainty -- as discussed above, if an +observational sample were well-defined such that it were complete to +broad-line objects with observed optical luminosity above a +fraction $f_{\rm BL}$ of the host galaxy luminosity, the +range we consider would correspond to a range $\fgas=0.1-0.9$ in the +quasar host galaxy gas fraction, which the observations could then +constrain. + +In our modeling, the broad line fraction as a function of luminosity +does not depend sensitively on the observed luminosity function, as +evidenced by the relatively similar prediction at high redshift. The +evolution we do predict with redshift, in fact, agrees well with that +found by \citet{Barger05} over the redshift range $z=0.1-1.2$ (see +also La Franca et al.\ 2005), an aspect of the observations which is +not reproduced in any static or luminosity-dependent torus model but +follows from the evolution of the quasar luminosity function in our +picture for quasar growth. However, we do caution that gas fractions +may systematically evolve with redshift, and as discussed above, a +higher gas fraction will give generally shorter ``broad-line'' +lifetimes using our criteria of quasar optical luminosity being higher +than some fraction of the host galaxy luminosity, which will also +contribute to the evolution in the mean ``broad-line'' fraction with +redshift. Finally, neglecting the role of luminosity-dependent quasar +lifetimes gives unacceptable fits to the data ($\reducechi=66.0,\ +77.5$), as the broad-line fraction as a function of luminosity is a +consequence of both the evolution of obscuration and the dependence of +lifetime on luminosity. + +Our model for quasar evolution provides a direct physical motivation +for the change in broad line fraction with luminosity and suggests +that it is not a complicated selection effect. As an observational +sample considers higher luminosities (i.e.\ approaches and passes the +``break'' in the observed luminosity function), a comparison of the +luminosity function and the underlying $\nLp$ shows that it is +increasingly dominated by sources near their peak luminosity in the +final stages of Eddington limited growth. The final stages of this +growth expel the large gas densities obscuring the quasar, rendering +it a bright, optically observable broad-line object for a short +time. Therefore, we expect that the fraction of broad-line objects +should increase with luminosity in quasar samples, as +indicated by the observations. + +%\clearpage +\begin{figure} + \centering + \plotone{f17.ps} + %\includegraphics[width=3.7in]{f15b.ps} + \caption{Predicted ``obscured'' fraction (solid line) in an X-ray sample with identical + redshift and luminosity range to that of \citet{Ueda03}, as a function of hard X-ray + (2-10 keV) luminosity. Vertical error bars show + Poisson errors estimated from the total time at a given luminosity across all our simulations + (absolute values of the error bars should not be taken literally). The ``obscured'' fraction is defined + as the fraction of quasars with X-ray column densities $\nh>10^{22}\,{\rm cm^{-2}}$ in + bins of $\Delta\log{L_{2-10\,{\rm keV}}}$. The observations from \citet{Ueda03} are shown + as black squares. + \label{fig:Ueda.BL}} +\end{figure} +%\clearpage + +Many observational measures do not consider a direct optical analysis +of the quasar spectrum in estimating the fraction of broad-line +objects as a function of luminosity. For example, \citet{Ueda03} adopt +a proxy, classifying as ``obscured'' any quasars with an X-ray +identified column density $\nh>10^{22}\,{\rm cm^{-2}}$, and as +``unobscured'' quasars below this column density. We can compare to +their observations, using the column density distributions as a +function of luminosity from our simulations, which cover the entire +range in luminosity of the observed sample. Specifically, we use a +Monte Carlo realization of these distributions, employing our fitted +$\nLp$ distribution at each redshift to produce a list of quasar peak +luminosities and then generating all other properties based on the +probability distribution of a given property in simulations with a +similar peak luminosity. We describe this methodology in detail in +\S~\ref{sec:discussion}, and provide several such mock quasar +distributions at different redshifts. + +In Figure~\ref{fig:Ueda.BL}, we compare our estimated ``obscured'' and +``unobscured'' fractions as a function of hard X-ray luminosity, using +the same definitions as well as redshift and luminosity limits as the +observed sample. The solid line shows our prediction, with vertical +error bars representing Poisson errors, where the number of ``counts'' +is proportional to the total time spent by simulations at the plotted +luminosity (the absolute value of these errors should not be taken +seriously). The ``obscured'' fraction is determined in bins of +luminosity $\Delta\log L_{2-10\ {\rm keV}}=0.5$. Despite our large +number of simulations, there is still some artificial ``noise'' owing +to incomplete coverage of the merger parameter space, namely the +apparent oscillations in the obscured fraction. However, the mean +trend agrees well with that observed (black squares), suggesting that +the success of our modeling in reproducing the fraction of ``broad +line'' objects as a function of luminosity is not a consequence of the +definitions chosen above. We do not show the predictions of the +standard and luminosity-dependent torus models, as (because +essentially any line of sight through the torus encounters a column +density $\nh>10^{22}\,{\rm cm^{-2}}$) the predictions of these models +are identical to those shown and compared to the same observations in +Figure~\ref{fig:BL.fraction}. + +Our prediction that the fraction of broad-line objects should rise +with increasing luminosity is counterintuitive, given our fitted +column density distributions in which typical (median) column +densities increase with increasing luminosity. This primarily owes to +the simplicity of our \NH\ fits; we assume the distribution is +lognormal at all times, but a detailed inspection of the cumulative +(time-integrated) column density distribution shows that at bright +(near-peak) luminosities, the distribution is in fact bimodal (see +e.g.\ Figure 3 of Hopkins et al.\ 2005b and Figure 2 of Hopkins et +al.\ 2005d), representing both the heavily obscured growth phase and +the ``blowout'' phase we have identified here as the ``broad line'' +phase. Over most of a simulation, we find the general trend shown in +Figure~\ref{fig:NH.systematics} and discussed above, namely that +typical column densities increase with intrinsic (unobscured) +luminosity. This is because the total time at moderate to large +luminosities is dominated by black holes growing in the +obscured/starburst stages; here, the same gas inflows fueling black +hole growth also give rise to large column densities and starbursts +which obscure the black hole activity. However, when the quasar nears +its final, peak luminosity, there is a rapid ``blowout'' phase as +feedback from the growing accretion heats the surrounding gas, driving +a strong wind and eventually terminating rapid accretion, leaving a +remnant with a black hole satisfying the $M_{\rm BH}-\sigma$ +relation. This can be identified with the traditional bright optical +quasar phase, as the final stage of black hole growth with a rapidly +declining density (allowing the quasar to be observed in optical +samples), giving typical luminosities, column densities, and lifetimes +of optical quasars. In these stages, larger luminosities imply more +violent ``blowout'' events, i.e.\ a brighter peak luminosity quasar +more effectively expels the nearby gas and dust, rendering a dramatic +decrease in column density at these bright stages (see Hopkins et al. +2005f). + +We are essentially modeling this bimodality in more detail by directly +determining the ``broad-line'' phase from our simulations. However, +the broad line fraction-luminosity relation we predict is also a +consequence of the more complicated relationship between column +density, peak luminosity, and bolometric and observed luminosity, as +opposed to the predictions from a model with correlation between $\nh$ +and only observed luminosity. The key point is that we find, near the +{\em peak} luminosity of the quasar, as feedback drives away gas and +slows down accretion, the typical column densities fall rapidly with +luminosity in a manner similar to that observed. In our model for the +luminosity function, quasars below the observed ``break'' are either +accreting efficiently in early stages of growth or are in +sub-Eddington phases coming into or out of their peak quasar +activity. Around and above the break, the luminosity function becomes +dominated by sources at high Eddington ratio at or near their peak +luminosities. Based on the above calculation, we then {\em expect} +what is observed, that in this range of luminosities, the fraction of +objects observed with large column densities will rapidly decrease +with luminosity as the observed sample is increasingly dominated by +sources at their peak luminosities in this blowout phase. This also +further emphasizes that the evolution of quasars dominates over static +geometrical effects in determining the observed column density +distribution at any given luminosity. + +Finally, if host galaxy contamination were not a factor, we would +expect from our column density model that, at low luminosities +($L\lesssim\Lcut{10}$, well below the range of most observations +shown), the broad-line fraction would again increase (i.e.\ the +obscured fraction would decrease), as the lack of gas to power +significant accretion would also imply a lack of gas to produce +obscuring columns. However, at these luminosities, typical of faint +Seyfert galaxies or LINERs, our modeling becomes uncertain; it is +quite possible, as discussed previously, that cold gas remaining in +relaxed systems could collapse to form a traditional dense molecular +torus on scales $\sim\,$pc, well below our resolution +limits. Furthermore, host galaxy light is likely to overwhelm any AGN +broad-line contribution, and selection effects will also become +significant at these luminosities. + + +\subsection{The Distribution of Active Broad-Line Quasar Masses} +\label{sec:BLmasses} + +Our determination of the ``broad-line'' or optical phase in quasar +evolution allows us to make a further prediction, namely the mass +distribution of currently active broad-line quasars. At some +redshift, the total number density of observed, currently active +broad-line quasars with a given $\Lp$ will be (in the absence of +selection effects) +\begin{equation} +n_{\rm BL}(\Lp)\approx\nLP\, t_{\rm BL}(\Lp), +\end{equation} +where $t_{\rm BL}(\Lp)$ is the total integrated time that a quasar +with peak luminosity $\Lp$ spends as a ``broad-line'' object (using +our criterion for the ratio of the observed quasar B-band luminosity to +that of the host galaxy), given by integrating our formulae in +\S~\ref{sec:whenBL} or directly calculated from the simulations. +Since we have determined roughly that a quasar should be observable as +a ``broad-line'' object at times with $L\gtrsim 0.2\,\Lp$ primarily +just after it reaches its peak luminosity, in the ``blowout'' phase of +its evolution, we expect the instantaneous black hole mass at the time +of observation as a broad-line quasar to be, on average, $M^{\rm +BL}_{\rm BH}\approx\mbhf(\Lp)$, where $\mbhf\sim M_{\rm Edd}(\Lp)$ +modulo the order unity corrections described in +\S~\ref{sec:detailsCompare}. Using our fitted $\nLP$ distribution from +the luminosity function, extrapolated to low redshift ($z\sim0$), and +combining it with the integrated ``broad-line'' lifetimes from our +simulations as above, we obtain the differential number density of +sources in a logarithmic interval in $\Lp$. Finally, we use our +Equation~\ref{eq:Mbhf} for $\mbhf(\Lp)$ determined from our fitted +quasar lifetimes (demanding that $E_{\rm rad}=\epsilon_{r}M_{\rm +BH}^{f}c^{2}$) to convert this to a distribution in black hole mass. + +%\clearpage +\begin{figure*} + \centering + \plotone{f18.ps} + %\includegraphics[width=3.7in]{f16.ps} + \caption{Predicted distribution of currently active black hole masses, + both considering all types (Type I \&\ II; left) and only those visible as broad-line quasars (Type I; right), + at low $z\lesssim0.3$ redshift, from our $\nLP$ distribution and the estimation of the ``broad-line'' + phase directly from the simulations. + In the left panel (all quasar types), we consider the result with + arbitrarily faint luminosity limits (dashed line), + and with the luminosity completeness limit (dotted) and both luminosity limit and velocity dispersion limit (dash-dot) + of the SDSS sample of \citet{Heckman04}. We then consider the mass distribution with these limits, + weighted by OIII luminosity, for direct comparison to the mass function of \citet{Heckman04}, shown as + red circles (vertical errors represent the range in different parameterizations of the luminosity-weighted mass function + from \citet{Heckman04}, their Fig.~1, horizontal errors a $\sim0.2$\,dex uncertainty in the black hole mass). + Black lines show this for our full model, red lines show the full distribution (dashed) and + distribution with the same weighting and selection effects as \citet{Heckman04} (solid) for a + light-bulb or exponential light curve model of quasar evolution. + At right, the distribution of active ``broad-line'' quasar masses (solid, where + an object is a ``broad-line'' quasar if the observed quasar B-band luminosity is above + a factor $f_{\rm BL}=1$ of that of the host galaxy -- dotted and dashed lines + show the result if $f_{\rm BL}=0.3$ or 3, respectively). Black lines show the prediction of the full + model, red and blue lines the predictions of a light-bulb/exponential light curve model with + a standard torus model (red) and receding torus model (blue) used to determine the broad-line fraction. + %agrees well with the active broad-line + %mass function from the SDSS, with some expected incompleteness in the SDSS sample at low $M_{\rm BH}$ + %(Greene et al., in preparation). + \label{fig:BL.massfunct}} +\end{figure*} +%\clearpage + +Our predicted $n(M_{\rm BH})$, i.e.\ the number of observed {\em +active} quasars at low redshift in a logarithmic interval of black +hole mass, is shown in Figure~\ref{fig:BL.massfunct}. We consider the +complete distribution of active quasar masses, for both broad-line and +non broad-line objects, in the left panel of the figure, and the +distribution of broad-line objects only, $n(M^{\rm BL}_{\rm BH})$, in +the right panel. On the left, we show the complete distribution which +would be observed without any observational limits (dashed line). We +calculate this from the distributions of Eddington ratios in our +simulations, as a function of current and peak luminosity, and our fit +to $\nLp$ (as, e.g.\ for our Monte Carlo realizations). We also +consider the observed distribution if we apply the luminosity limit +for completeness from the SDSS sample of \citet{Heckman04} (dotted), +$L_{\rm [O\,III]}>\Lcut{6}$, which using their bolometric corrections +yields $L>3.5\times\Lcut{9}$, and then additionally applying their +minimum velocity dispersion $\sigma>70\,{\rm km\,s^{-1}}$ +(dot-dashed). Finally, we can weight this distribution by luminosity +(solid line) to compare directly to that determined in their +Fig.~1. The red points are taken from the luminosity-weighted black +hole mass function of \citet{Heckman04}, which serves as a rough +estimate of the {\em active} black hole mass distribution given their +selection effects. Vertical error bars represent the range in +parameterizations of the mass function from \citet{Heckman04}, +including whether or not star formation is corrected for and limiting +the sample to luminosities $L\gtrsim\Lcut{10}$ or Eddington ratios +$>0.01$. Horizontal errors represent an uncertainty of $0.2\,$dex in the +black hole mass estimation (representative of uncertainties in the +$M_{\rm BH}-\sigma$ relation used). The agreement is good, especially +given the significant effects of the selection criteria and +luminosity-weighting. + +We also consider the predictions of a ``light-bulb'' or ``exponential +/ fixed Eddington ratio'' model of the quasar lifetime for the active +black hole mass distribution (red lines). For purposes of the active +black hole mass function, the two predictions are identical and +independent of the assumed quasar lifetime (modulo the arbitrary +normalization), as both assume that all observed quasars are accreting +at a fixed Eddington ratio, giving the distribution of active black hole +masses. The dashed line shows the prediction for the complete active +black hole mass function, which rises sharply to lower luminosities, +as it must given a luminosity function which increases monotonically +to lower luminosities. The solid line shows the prediction of such a +model with the complete set of selection effects from +\citet{Heckman04} described above applied, as with the solid black +line showing the prediction of our modeling. Here, we chose the +characteristic Eddington ratio $\approx1.0$ by fitting the predicted +curve to the \citet{Heckman04} observations. Note that both the +characteristic Eddington ratio and lifetime (normalization) of the +curve are fitted, so the relative normalization of this curve and our +full model prediction are not the same; for example, the predicted +total absolute number of active $M_{\rm BH}>10^{9}$ quasars is higher +in the full model than in the light-bulb or exponential models. Still, +it is clear that these models produce too broad a distribution of +active black hole masses, in disagreement with the observations. We +could, of course, obtain an arbitrarily close agreement with the +observations if we fit to the {\em distribution} of accretion rates, +but such a model would recover a quasar lifetime and accretion rate +distribution quite similar to ours, as is evident from the agreement +between the predictions of our simulations and the observations. A +purely empirical model of this type is considered by e.g.\ +\citet{Merloni04}, who finds that similar qualitative evolution in the +quasar lifetime and anti-hierarchical black hole assembly to that +predicted by our modeling is implied by the combination of quasar +luminosity functions and the black hole mass function. + +On the right of the figure, we show our predicted mass distribution +for low-redshift, active ``broad-line'' quasars (solid black lines), +where we estimate that an object is a ``broad-line'' quasar if the +observed quasar B-band luminosity is above a factor $f_{\rm BL}=1$ of +that of the host galaxy -- dotted and dashed lines show the result if +$f_{\rm BL}=0.3$ or 3, respectively, parameterizing the range of +different observed samples. As discussed above, the range of $f_{\rm +BL}$ shown can be, alternatively, thought of as a parameterization of +uncertainty in the host galaxy gas fraction, if (in an observed +sample), the sensitivity to seeing quasar broad lines against host +galaxy contamination is known. Therefore, the location of the peak in +the active broad-line black hole mass function can be used, just as +the mean broad line fraction vs.\ luminosity, as a test of the typical +gas fractions of bright quasar host galaxies, and can constrain +potential evolution in these gas fractions with redshift. + +The prediction shown is testable, but appears to be in good +agreement with preliminary results for the distribution of active +broad-line black hole masses from the SDSS \citep[e.g.,][]{MD04}. The +observations may show fewer low-mass black holes than we predict, but +this is expected, as observed samples are likely incomplete at the low +luminosities of these objects (even at the Eddington limit, a +$10^{5}\,M_{\sun}$ black hole has magnitude $M_{g}\sim-16$). If, in +our model, we were to consider instead a standard torus scenario for +the definition of the broad-line phase, we would predict the same +curve as that shown in the left half of the figure (black dashed; our +prediction for the cumulative active black hole mass function). This +is because the standard torus model predicts that a constant fraction of +objects are broad-line quasars, regardless of mass or luminosity, thus +giving identical distributions of Type I and Type II quasar masses. If +we consider a luminosity-dependent or receding torus model, the +prediction is nearly identical to the black line shown. This is +because, as shown in Figure~\ref{fig:BL.fraction}, our prediction for +the broad line fraction as a function of luminosity is similar to that +of the receding torus model. The differences in the model predictions +for the broad-line fraction as a function of luminosity do manifest in +the prediction for the active broad-line black hole mass function, but +the difference in these models is smaller than the $\sim1\sigma$ range +from different values of $f_{\rm BL}$ shown. However, if we consider +different models for the quasar light curve or lifetime, the predicted +active broad-line mass function is quite different (as is the +cumulative active black hole mass function). + +We show the predictions of a light-bulb or exponential light curve +model for quasar evolution in the figure, adopting either a standard +torus model (red) or receding torus model (blue) to determine the +broad-line fraction as a function of luminosity. For the standard +torus model, this predicts that the broad line mass function should +trace the observed luminosity function, rising monotonically to lower +black hole masses in power-law fashion (just as seen in the red dashed +line in the left half of the figure for the cumulative black hole mass +function). For the receding torus model, the active black hole mass +function shows a peak (because, at lower luminosities, there are more +observed quasars, but a larger fraction of them are +obscured). However, the location of this peak is at roughly an order +of magnitude smaller black hole mass than for our prediction. This +assumes a typical Eddington ratio $\sim1$, which we have fitted to the +cumulative black hole mass function -- the peak in the broad-line +active black hole mass function in these models could be shifted to +larger black hole masses by assuming a smaller typical Eddington +ratio, but this would only worsen the agreement with the cumulative +black hole mass function of \citet{Heckman04}. Furthermore, a robust +difference between the models is that the light bulb or +Eddington-limited/exponential models predict, for the standard torus +case, no turnover in the active broad-line black hole mass function, +and for the receding torus case, a broader distribution in active +broad-line quasar black hole masses than is predicted in our +modeling. Roughly, the lognormal width of this distribution in our +model is $\sim0.6$\,dex, whereas the light-bulb or exponential light +curve models have a distribution with width $\sim1.0$\,dex. As noted +above, we obtain a similar prediction if we adopt our full obscuration +model instead of the receding torus model here. A determination of +the range of active, broad-line quasar masses can, therefore, +constrain quasar lifetimes and light curves. + +Our model makes an accurate prediction for the distribution of {\em +active} black hole masses, even at $z\sim0$ where our extrapolation of +the luminosity function is uncertain. It is important to distinguish +this from the predicted relic black hole mass distribution, derived in +\S~\ref{sec:smbh}, which must account for all quasars, i.e.\ $\nLP$ +integrated over redshift. We additionally find for broad-line +quasars, as we expect from our prediction of the broad-line phase, +that these objects are primarily radiating at large Eddington ratios, +$l\sim0.2-1$, but we address this in more detail in +\S~\ref{sec:eddington}. The success of this prediction serves not only +to support our model, but also implies that we can extrapolate to +fairly low luminosities, even bright Seyfert systems at $z\sim0$. +This suggests that many of these systems, at least at the bright end, +may be related to our assumed quasar evolution model, +fueled by similar mechanisms and either exhibiting weak interactions +among galaxies or relaxing from an earlier, brighter stage in their +evolution. As we speculate in \S~\ref{sec:discussion}, our +description of self-regulated black hole growth may also be +relevant to fainter Seyferts, even those that reside in +apparently undisturbed galaxies. + +\section{The Distribution of Eddington Ratios} +\label{sec:eddington} + +In traditional models of quasar lifetimes and light curves, the +Eddington ratio, $l\equiv L/L_{\rm Edd}$ is generally assumed to be +constant. Even complex models of the quasar population which allow +for a wide range of Eddington ratios according to some probability +distribution $P(l)$ implicitly associate a fixed Eddington ratio with +each individual quasar, and do not allow for $P(l)$ to depend on +instantaneous luminosity or host system properties. However, this is a +misleading assumption in the context of our model, as the Eddington +ratio varies in a complicated manner over most of the quasar light +curve. Furthermore, the integrated time at a given Eddington ratio is +different in different systems, with more massive, higher peak +luminosity systems spending more time at large ($l \sim1$) Eddington +ratios. + +The probability of being at a given Eddington ratio should properly be +thought of as a conditional joint distribution $P(l\,|\,L,\,\Lp)$ in +both instantaneous and peak luminosity, just as the quasar +``lifetime'' is more properly a conditional distribution +$t_{Q}(L\,|\,\Lp)$. Rather than adopting a uniform Eddington ratio or +Eddington ratio distribution, empirical estimates must consider more +detailed formulations such as the framework presented in \citet{SW03}, +which allows for a conditional bivariate Eddington ratio distribution +and can therefore incorporate these physically motivated dependencies +and complications in de-convolving observations of the quasar +luminosity function to determine e.g.\ Eddington ratio distributions, +active black hole mass functions, and other physical quantities. + +%\clearpage +\begin{figure} + \centering + \plotone{f19.ps} + %\includegraphics[width=3.7in]{f17.ps} + \caption{Distribution of Eddington ratios (left panels) and + instantaneous black hole mass (right panels) as a function of quasar + bolometric luminosity for our fiducial Milky Way-like A3 simulation, + with $\vvir=160\,{\rm km\,s^{-1}}$ and + $\Lp\sim5\times\Lcut{13}$. The trend of an increasingly narrow + Eddington ratio and mass distribution (concentrated at higher values) + with increasing luminosity is clear. The result of applying an + ADAF-type radiative efficiency correction at low accretion rates is + shown (dashed) as well as the result of considering only times after + the final merger, with $M_{\rm BH}\sim\mbhf$ (dotted). + \label{fig:Pofl.A3}} +\end{figure} +%\clearpage + +Figure~\ref{fig:Pofl.A3} shows the distribution of Eddington ratios as +a function of luminosity for the fiducial, Milky Way-like A3 +simulation ($\vvir=160\,{\rm km\,s^{-1}}$). Over the course of the +simulation, the system spends a roughly comparable amount of time at a +wide range of Eddington ratios from $l\sim0.001-1$. At high +luminosities, $L>\Lcut{12}$ for a system with $\Lp\approx\Lcut{13}$, +the range of Eddington ratios, is concentrated at high values +$l\sim0.5-1$ with some time spent at ratios as low as +$l\sim0.1$. Note, however, that the y-axis of the plot is scaled +logarithmically, so the time spent at $l\sim0.1$ in this luminosity +interval is a factor $\sim5$ smaller than the time spent at +$l\gtrsim0.5$. Considering lower luminosities $\Lcut{11} 0.01 \\ + 100\,\eEdd & \mathrm{ if\ } \eEdd \leq 0.01. +\end{array} + \right. +\end{equation} +This choice for the efficiency factor follows from ADAF models +\citep{NY95} and ensures that the radiative efficiency is continuous +at the critical Eddington ratio $\eEdd_{\rm crit}=0.01$. Applying this +correction and then examining the distribution of Eddington ratios as +a function of luminosity (dashed histograms in +Figure~\ref{fig:Pofl.A3}), we see that the distribution of Eddington +ratios is essentially identical, with only a slightly higher +probability of observing extremely low Eddington ratios +$l\lesssim0.001$. Of course, our modeling of accretion processes does +not allow us to accurately describe ADAF-like accretion at these low +Eddington ratios, but such low values are not relevant for the +observed luminosity functions and quantities with which we make our +comparisons. This implies that such a transition in the radiative +efficiency with accretion rate should not alter our conclusions +regarding the luminosity function and the $\nLp$ distribution +(essentially, the corrections are important only at luminosities well +below those relevant in constructing the observed luminosity +functions; see also Hopkins et al.\ 2005c for a calculation +of the effects of such a correction on the fitted quasar lifetime and +$\nLp$ distributions, which leads to the same conclusion). + +Despite the broad range of Eddington ratios in the simulations, this +entire distribution is unlikely to be observable in many samples. The +effect of this can be predicted based on the behavior seen in +Figure~\ref{fig:Pofl.A3}. For example, we consider the distribution +of Eddington ratios that would be observed if the B-band luminosity +$\LBo\geq\Lcut{11}$, comparable to the selection limits at high +redshift of many optical quasar samples. As expected from the change +in $l$ with luminosity, this restricts the observed range of Eddington +ratios to large values $l\sim0.1-1$, in good agreement with the range +of Eddington ratios actually observed in such samples. Essentially, it +has reduced the observed range to a bolometric luminosity +$L\gtrsim\Lcut{12}$ in the case shown, giving a similar distribution +to that seen in the lower panel of the figure. + +%\clearpage +\begin{figure} + \centering + \plotone{f20.ps} + %\includegraphics[width=3.7in]{f18.ps} + \caption{Predicted distribution of Eddington ratios based on + the luminosity function and the quasar evolution in our + simulations, in two redshift intervals $z<0.5$ (upper left) and + $1.5\Lcut{11}$). + \label{fig:Pofl.all}} +\end{figure} +%\clearpage + +We compare our predicted distribution of Eddington ratios to +observations in Figure~\ref{fig:Pofl.all}. Using the distribution of +peak luminosities $\nLp$ determined from the luminosity function, we +can integrate over all luminosities to infer the observed Eddington +ratio distribution, +%\begin{equation} +% \begin{split} +% P(l)\propto & \int{{\rm d}\log L}\int{{\rm d}\log\Lp} \\ +% & \times P(l | L, \Lp)\,\frac{{\rm d}t(L,\Lp)}{{\rm d}\log L} \nLP . +% \end{split} +%\end{equation} + \begin{eqnarray} + P(l)&\propto& \int{{\rm d}\log L}\int{{\rm d}\log\Lp} \nonumber\\ + && \times P(l | L, \Lp)\,\frac{{\rm d}t(L,\Lp)}{{\rm d}\log L} \nLP . + \end{eqnarray} +As our estimate of $P(l | L, \Lp)$ above is rough, we do this by +binning in $\Lp$ and averaging the binned $P(l | L, \Lp)\,\dtdL$ for +each simulation in the range of $\Lp$, then weighting by $\nLp$ and +integrating. We consider both the entire distribution that would be +observed in the absence of selection effects (red histograms), and +the distribution observed demanding a B-band luminosity above some +reference value, $\LBo>L_{\rm min}$ (black histograms). The results are shown +for redshifts $z<0.5$ and $z=1.5 - 3.5$, along with the observed +distribution from \citet{Vestergaard04}, with assumed Poisson +errors. The observations should be compared to the black histograms, +which have luminosity thresholds $L_{\rm}=\Lcut{10}\ {\rm and}\ +\Lcut{11}$ for $z<0.5$ and $z=1.5 - 3.5$, respectively, corresponding +approximately to the minimum observable luminosities in the observed +samples in each redshift interval. + +The agreement is good, given the observational uncertainties, and it +suggests that the observed Eddington ratio distribution can be related +to the non-trivial nature of quasar lifetimes and light curves we +model, rather than some arbitrary distribution of fixed $l$ across +sources. However, the selection effects in the observed samples are +quite significant -- the complete distribution of Eddington ratios is +similar in both samples, implying that the difference in the observed +Eddington ratio distribution is primarily a consequence of the higher +luminosity limit in the observed samples -- and a more detailed test +of this prediction requires fainter samples. + +Still, there is a systematic offset in the observed samples at $z<0.5$ +and $z=1.5-3.5$ which does not owe to selection effects. At +progressively lower redshifts, more quasars with luminosities further +below the ``break'' in the luminosity function are observed, and +therefore the observed Eddington ratio is broadened to lower Eddington +ratios $l\sim0.1$, whereas at high redshift the distribution is more +peaked at slightly higher Eddington ratios. This difference, although +not dramatic, is a prediction of our model not captured in ``light +bulb'' or ``fixed Eddington ratio'' models, even when allowing for a +distribution of Eddington ratios, if such a distribution is static. We +demonstrate this by fitting the low-redshift Eddington ratio +distribution to a Gaussian (blue dashed lines in upper left), and then +assuming that this distribution of accretion rates is unchanged with +redshift, giving (after applying the same selection effects which +yield the black histograms plotted) the blue dashed line in the upper +right panel. Although the agreement may appear reasonable, the +difference is significant -- such a fit overpredicts the fraction of +high redshift objects at Eddington ratios $\lessim0.1$ and +underpredicts the fraction at $\sim0.3$, giving a somewhat poor fit +overall ($\reducechi=2.7$, but with typical $\gtrsim3\sigma$ +overpredictions for Eddington ratios $\lesssim0.1$). + +Furthermore, without being modified to allow for a distribution of +Eddington ratios, such models are clearly inconsistent with the +observations, as they would predict a single, constant Eddington +ratio. However, models which fit the observed evolution in the quasar +luminosity function with a non-static distribution of accretion rates +do recover the broadening of the Eddington ratio distribution at low +redshift, so long as strong evolution in the distribution of accretion +rates for systems of a given black hole mass is not allowed +\citep{SW03}, giving a qualitatively similar picture of the evolution +we model. Regardless of the evolution in accretion rates, an +advantage of our modeling is that it provides a physically motivated +predicted distribution of accretion rates, as opposed to being forced +to adopt the distribution of accretion rates from observational input +(which can be, as demonstrated in the figure, significantly biased by +observational selection effects). The dotted histograms show the +distribution if we apply our ADAF correction to the intrinsic +distribution, and demonstrate that this does not +significantly change the result. We note that our model for black +hole accretion employs the Eddington limit as a maximum accretion +rate; if we remove this restriction, we find that the simulations +spend some small but non-negligible time with $l\sim1-2$, which is +also consistent with the observations. + +Furthermore, we can make a prediction of this model which can be +falsified, namely that the Eddington ratio distribution at +luminosities well below the break in the luminosity function should be +broader and extend to lower values than the distribution at +luminosities above the break luminosity. We quantify this in the lower +panels of Figure~\ref{fig:Pofl.all}, for the distribution at low +redshifts $z\lesssim1$. Here we consider two bins in luminosity, +$L=10^{9.5}-10^{10.5}\,L_{\sun}$ and +$L=10^{12.5}-10^{13.5}\,L_{\sun}$, for redshifts where the break in +the luminosity function is at approximately +$L\sim10^{11}-10^{12}\,L_{\sun}$. Clearly, the distribution is +broader and extends to lower Eddington ratios in the former +luminosity interval, whereas in the latter it is strongly peaked about +$l\sim0.2-1$, for both the complete distribution (black) and that with +$\LBo\geq\Lcut{11}$ (red). The distribution obtained applying the ADAF +correction described above is shown as dotted histograms. Despite the +fact that the Eddington ratio distribution at low luminosities will be +strongly biased by selection effects, a reasonably complete sample +should be able to test this prediction, at least qualitatively. + +%\clearpage +\begin{figure} + \centering + \plotone{f21.ps} + %\includegraphics[width=3.7in]{f18.ps} + \caption{Predicted distribution of Eddington ratios based on + the luminosity function and the quasar evolution in our + simulations, at three redshifts $z=0.5$ (top panels), $z=1.0$ (middle), and $z=2.0$ (bottom). + The inferred distribution of Eddington ratios, adopting a constant bolometric + correction from the observed (attenuated) luminosity in each of three bands is shown, + i.e.\ assuming $L=12\,L_{B}^{\rm obs}$ ($4400\,$\AA; left), + $L=52\,L_{SX}^{\rm obs}$ (0.5-2 keV; middle), and + $L=35\,L_{HX}^{\rm obs}$ (2-10 keV; right). For each waveband, results are shown + for three reference luminosities. In B-band, $M_{B}<-19$ (red), $M_{B}<-22$ (blue), + and $M_{B}<-25$ (black). In soft X-rays, $\log(L_{SX} [{\rm erg\,s^{-1}}])>40\ (\rm red),\ + 42\ (\rm blue),\ 44\ (\rm black)$. In hard X-rays, $\log(L_{HX} [{\rm erg\,s^{-1}}])>41\ (\rm red),\ + 43\ (\rm blue),\ 45\ (\rm black)$. + \label{fig:Pofl.grid}} +\end{figure} +%\clearpage + +We illustrate the effects of changing observed waveband, redshift, and +luminosity thresholds on the observed Eddington ratio distribution in +Figure~\ref{fig:Pofl.grid}. Here, we plot the predicted distribution +of Eddington ratios determined as in Figure~\ref{fig:Pofl.all}, from +our fitted $\nLp$ distribution at each redshift and the distribution +of Eddington ratios as a function of instantaneous and peak luminosity +in each of our simulations (specifically, these are drawn from the +Monte Carlo realizations of the quasar population described in +\S~\ref{sec:discussion}). We show the predictions at three redshifts +$z=0.5$ (top panels), $z=1.0$ (middle), and $z=2.0$ (bottom). For +each redshift, results are shown in three wavebands, and with three +reference luminosities. In B-band, we require $M_{B}<-19$ (red), +$M_{B}<-22$ (blue), and $M_{B}<-25$ (black). In soft X-rays, +$\log(L_{SX} [{\rm erg\,s^{-1}}])>40\ (\rm red),\ 42\ (\rm blue),\ 44\ +(\rm black)$. In hard X-rays, $\log(L_{HX} [{\rm erg\,s^{-1}}])>41\ +(\rm red),\ 43\ (\rm blue),\ 45\ (\rm black)$. The observationally +inferred distribution of Eddington ratios at each redshift is loosely +estimated by adopting a constant bolometric correction from the +observed (attenuated) luminosity in each of three bands shown, i.e.\ +assuming $L=12\,L_{B}^{\rm obs}$ ($4400\,$\AA; left), +$L=52\,L_{SX}^{\rm obs}$ (0.5-2 keV; middle), and $L=35\,L_{HX}^{\rm +obs}$ (2-10 keV; right). This follows common practice in many +observational estimates of the Eddington ratio distribution and allows +for the effects of attenuation, but we caution that it +can be misleading. + +If we instead use the luminosity-dependent bolometric corrections of +\citet{Marconi04} which we adopt throughout, even given that we are +calculating from the observed (attenuated) luminosities, we do not see +the large population of highly sub-Eddington (Eddington ratios +$\lesssim10^{-3}$) quasars in soft and hard X-ray samples with low +luminosity thresholds. This is because these are actually reasonably +high-Eddington ratio quasars, %, albeit dim ($L\lessim10^{11}\,L_{\sun}$), quasars, +but our bolometric corrections imply that a larger fraction +of the bolometric luminosity is radiated in the X-ray at low +bolometric luminosity, meaning that assuming a constant bolometric +correction will underestimate the Eddington ratios of high-bolometric +luminosity sources. Regardless, the figure illustrates both the importance +of different wavelengths (i.e.\ the ability to observe more +low-Eddington ratio sources in X-ray as compared to optical samples) +and luminosity/magnitude limits on the inferred distribution of +Eddington ratios. For example, even for relatively deep B-band quasar +samples complete to $M_{B}<-23$ (i.e.\ complete to essentially all +objects traditionally classified as having ``quasar-like'' +luminosities), the expected observed Eddington ratio distribution at +$z\sim0.5-2$ is quite sharply peaked about $\sim0.1-0.3$, in good +agreement with recent observational results \citep{Kollmeier05}. + +We do not compare to the $z=0$ distribution of black hole accretion +rates, as this is dominated by objects at extremely low Eddington +ratios $l\sim10^{-5}-10^{-4}$ +\citep[e.g.,][]{Ho02,Marchesini04,Jester05}, which are well below the +range we model, and are not likely to be driven by merger activity +(many of these objects are quiescent, low-luminosity Seyferts in +normal spiral galaxy hosts); furthermore, many of these objects are +not accreting at the Bondi rate +\citep{FC88,BB99,DiMatteo00,NIA00,QG00,DCF01,Loewenstein01,Bower03}, +clearly showing that our simulations must incorporate more +sophisticated models for accretion in quiescent, low-luminosity states +(when gravitational torques cannot provide a mechanism to drive large +amounts of gas to the central regions of the galaxy) in order to +describe such phases. + +However, it has been suggested that the rapid ``blowout'' phase and +subsequent decay in accretion rates seen in our simulations, coupled +with spectral modeling of radiatively inefficient accretion modes, can +explain the apparently bimodal distribution of low-redshift accretion +rates \citep{CX05}. Moreover, present-day, relaxed ellipticals are +observed to have mass accretion rates $\sim10^{-4}$ implying a long +relaxation time at moderate and low accretion rates, qualitatively +similar to that seen after the ``blowout'' in our modeling (Hopkins et +al. 2005f). A pure exponential decay in accretion rate after the peak +quasar phase would give $\dot{m}=\dot{M}/\dot{M}_{\rm +Edd}\sim\exp{(-t_{H}/t_{Q})}$ at present, where $t_{H}$ is the Hubble +time and $t_{Q}$ is the quasar lifetime of order e.g.\ the Salpeter +time $t_{S}=4\times10^{7}$\,yr, yielding an unreasonably low expected +accretion rate $\dot{m}\sim10^{-145}$. Even assuming an order of +magnitude larger quasar lifetime, this gives $\dot{m}\sim10^{-15}$, +far below observed values, implying that regardless of the fueling +mechanisms at low luminosities, the basic key point of our modeling +must be true to some extent, namely that quasars spend long times +relaxing at moderate to low Eddington ratios. + + +\section{The Mass Function of Relic Supermassive Black Holes from Quasars} +\label{sec:smbh} + +From the $M_{\rm BH}$-$\sigma$ relation and other host galaxy-black +hole scalings, +estimates of bulge and spheroid velocity dispersions have been used to +determine the total mass density ($\rhobh$) and mass distribution of +local, primarily inactive supermassive black holes +\citep[e.g.,][]{Salucci99,MS02,YT02,Ferrarese02,AR02,Marconi04,Shankar04}. +These estimates, along with others based on X-ray background synthesis +\citep[e.g.,][]{FI99,ERZ02}, have compared these quantities to those +expected based on the mass distribution of `relic' black holes grown +in quasars. It appears that most, and perhaps nearly all of the +present-day black hole mass density was accumulated in bright quasar +phases, and the $M_{\rm BH}-\sigma$ and $M_{\rm BH}-L_{\rm bulge}$ +correlations yield estimates of the local mass function in good +agreement with those from hard X-ray AGN luminosity functions +\citep{Marconi04}. + +However, this modeling is dependent on several assumptions. Namely, +the average radiative efficiency $\epsilon_{r}$, Eddington ratio $l$, +and average quasar lifetime $t_{Q}$ are generally taken to be +constants and either input into the model or constrained by demanding +agreement with the local mass function. In our simulations, we find +the quasar lifetime and Eddington ratio to be complex functions of +both luminosity and host system properties (as opposed to being +constants). We also find that quasars spend a large fraction of their +lives in obscured growth phases, suggesting some mass gain outside of +the bright quasar phase. It is thus of interest to determine the relic +black hole mass function expected from our model for quasar evolution. + +Using our estimate for the birthrate of quasars with a given peak +luminosity at a particular redshift, $\nLp$, obtained from the +luminosity function in \S~\ref{sec:fullLF}, we can estimate the total +number density of relic quasars accumulated by a particular redshift +that were born with a given $\Lp$ (per logarithmic interval in $\Lp$) +from +\begin{equation} +n(\Lp)=\int{\,\nLp\,{\rm d}t}=\int{\frac{\dot{n}(\Lp,z)\,{\rm d}z}{(1+z)H(z)}}. +\end{equation} +By redshift $z=0$, most of these quasars will be ``dead,'' with only +a small residual fraction having been activated in the recent past. + +Using our log-normal form for $\nLp$, with normalization $\nstar$ and +dispersion $\sstar$ held constant and only the median +$\lstar=\lstar^{0}\,\exp{(k_{L}\tau)}$ evolving with redshift, this +integral can be evaluated numerically to give the space density of +relic quasars $n(\Lp)$. Finally, we use $\mbhf(\Lp)$, roughly the +Eddington mass of the given peak luminosity (but determined more +precisely in \S~\ref{sec:detailsCompare}) to convert from ${\rm +d}n(\Lp)/{\rm d}\log\Lp$ to ${\rm d}n(M_{\rm BH})/{\rm d}\log M_{\rm +BH}$. This formulation implicitly assumes that black holes do not +undergo subsequent mergers after the initial quasar-producing event. +However, this effect should be small (a factor $\lesssim2$) as +subsequent mergers would be dry (gas poor). +We explicitly calculate the effects of dry mergers on the +spheroid mass function (essentially a rescaling of the black hole mass +function calculated here) in \citet{H05e}, and show that this is a +small effect (significantly less than the uncertainties owing to our +fit to the quasar luminosity function) even assuming the maximum dry +merger rates of e.g.\ \citet{vanDokkum05}. + +This mass function can then be integrated over $d M_{\rm BH}$ to give +the total present-day black hole mass density, $\rhobh$. Neglecting +temporarily the small corrections to $\mbhf(\Lp)$ from +\S~\ref{sec:detailsCompare}, we expect +\begin{equation} +\mbhf\approx M_{\rm Edd}(\Lp)=\frac{\Lp\,t_{S}}{\epsilon_{r}c^{2}} +%2.95\times 10^{-5} M_{\sun} \, \Bigl( \frac{\Lp}{L_{\sun}}\Bigr), +\end{equation} +where $t_{S}/\epsilon_{r}c^{2}\approx2.95\times10^{-5}\,M_{\sun}/L_{\sun}$, +so therefore, +\begin{equation} +\rhobh=\frac{t_{S}}{\epsilon_{r}c^{2}}\int{\Lp\,n(\Lp)\,{\rm d}\log \Lp}. +\end{equation} +This can be combined with the integral over redshift for $n(\Lp)$, +giving, at each $z$, a pure Gaussian integral over $\log{(\Lp)}$, +in the form +%\begin{equation} +%\begin{split} +%\rhobh &=\frac{\lstar^{0}\,t_{S}}{\epsilon_{r}c^{2}}\frac{\nstar}{H_{0}}\, +%e^{\frac{1}{2}(\sstar \ln{10})^{2}}\,\int{\frac{e^{k_{L}\tau}\,dz}{(1+z)\,\hat{H}(z)}}\\ +%&= \frac{\lstar^{0}\,t_{S}}{k_{L}\epsilon_{r}c^{2}}\frac{\nstar}{H_{0}}\, +%e^{\frac{1}{2}(\sstar \ln{10})^{2}}\,\Bigl(e^{k_{L}\tau_{f}}-e^{k_{L}\tau}\Bigr), +%\end{split} +%\end{equation} +\begin{eqnarray} +\rhobh &=&\frac{\lstar^{0}\,t_{S}}{\epsilon_{r}c^{2}}\frac{\nstar}{H_{0}}\, +e^{\frac{1}{2}(\sstar \ln{10})^{2}}\,\int{\frac{e^{k_{L}\tau}\,dz}{(1+z)\,\hat{H}(z)}}\nonumber\\ +&=& \frac{\lstar^{0}\,t_{S}}{k_{L}\epsilon_{r}c^{2}}\frac{\nstar}{H_{0}}\, +e^{\frac{1}{2}(\sstar \ln{10})^{2}}\,\Bigl(e^{k_{L}\tau_{f}}-e^{k_{L}\tau}\Bigr), +\end{eqnarray} +where $\hat{H}(z)\equiv H(z)/H_{0}$ and $\tau_{f}$ is the fractional +lookback time at some upper limit. We must modify this integral above +$z\sim2$ to account for the decreasing space density of bright +quasars, applying either our density or peak-luminosity evolution +turnover from \S~\ref{sec:fullLF}, but quasars at these high redshifts +contribute only a small fraction to the present-day density. Thus, in +this formulation, the evolution of the total supermassive black hole +mass density, i.e.\ $\rhobh(z)/\rhobh(z=0)$, is given approximately by +the dimensionless integral above, and depends only on how +$\lstar$ evolves, essentially the rate at which the break +in the quasar luminosity function shifts. Although this is not strictly +true if we include corrections to $\mbhf(\Lp)$ based on $\Lp$, the +difference is small and this behavior is essentially preserved. Note +that the total supermassive black hole mass density is independent of +corrections from subsequent dry mergers, which (being gas poor) conserve +total black hole mass. + +%\clearpage +\begin{figure*} + \centering + \plotone{f22.ps} + %\includegraphics[width=3.7in]{f19.ps} + \caption{Right: Total predicted quasar relic black hole mass + density and evolution of the fractional black hole mass + density with redshift. Dotted lines show the difference resulting + from $1\sigma$ deviation in fitted $\nLp$ from the luminosity + function. Left: Predicted present $z=0$ relic mass function + (thick black line), for comparison with the $1\sigma$ range + (yellow) of the inferred supermassive black hole mass function + from \citet{Marconi04}. Also shown are the results given $1\sigma$ + errors in the fitted $\nLp$ distribution (dotted lines), or ignoring + the small corrections to $\mbhf(\Lp)$ from \S~\ref{sec:detailsCompare} + (thin black line). Dot-dashed lines show the predicted mass + function at $z=1.5,\,3.0,\,5.0$ (blue, green, and red, + respectively). The extensions to $z>2$ includes the turnover (pure + peak luminosity evolution form) in the quasar space density above + $z=2$ from high-redshift luminosity functions described in + \S~\ref{sec:fullLF}, except for the dashed green and red lines + which use the pure density evolution form. + \label{fig:SMBH.distrib}} +\end{figure*} +%\clearpage + +Figure~\ref{fig:SMBH.distrib} shows our prediction for the mass +distribution of supermassive black holes, as well as the total density +$\rhobh$ and its evolution with redshift. We find a total relic black +hole mass density of +$\rhobh=2.9^{+2.3}_{-1.2}\times10^{5}\,M_{\sun}\,{\rm Mpc^{-3}}$, in +agreement with the observational estimate of +$\rhobh=2.9\pm0.5\,h^{2}_{0.7}\times10^{5}\,M_{\sun}\,{\rm Mpc^{-3}}$, +by \citet{YT02} ($h_{0.7}\equiv H_{0}/70\,{\rm km\,s^{-1}\,Mpc^{-1}}$; +their result is converted from $h=0.65$), and within $1\sigma$ of the +value $\rhobh=4.6^{+1.9}_{-1.4}h^{2}_{0.7}\times10^{5}\,M_{\sun}\,{\rm +Mpc^{-3}}$, of \citet{Marconi04}, based on the observations of +\citet{Marzke94}, \citet{Kochanek01}, \citet{Nakamura03}, +\citet{Bernardi03}, and \citet{Sheth03}. The fractional evolution of +$\rhobh$ with redshift is quite well constrained, and we find, as with +previous estimates, that most of the present-day black hole mass +density accumulates at moderate to low redshifts +$z\approx 0.5 - 2.5$. The $1\sigma$ +errors are shown as dotted lines in the figure, and are close to our +best-fit estimate, as we have demonstrated that this quantity depends +only on $k_{L}$, the rate of evolution of the break in +the luminosity function +with redshift, which is fairly well-constrained by +observations (from our fitting to the luminosity functions, +$k_{L}=5.61\pm0.28$). The difference in $\rhobh$ if we include or +neglect the small corrections to $\mbhf$ is negligible compared to our +errors ($\sim5\%$). + +Our estimate for the relic black hole mass distribution (thick black +line) also agrees well with observational estimates, with all +observations within the range allowed by the $1\sigma$ errors of our +fitting to the luminosity function (dotted lines). The observations +shown are again from \citet{Marconi04}, based on the combination of +observations by \citet{Marzke94}, \citet{Kochanek01}, +\citet{Nakamura03}, \citet{Bernardi03}, and \citet{Sheth03}. The high +mass end of the black hole mass function $M_{\rm BH}>10^{9}\,M_{\sun}$ +is relatively sensitive to whether or not we apply the $\mbhf(\Lp)$ +corrections of \S~\ref{sec:detailsCompare}, instead of taking +$\mbhf=M_{\rm Edd}(\Lp)$ (thin line), as well as to our fitting +procedure. However, the agreement is still good, and this is also +where the observational estimates of the mass distribution are most +uncertain, as they are generally extrapolated to these masses, and are +sensitive to the assumed intrinsic dispersions in the $M_{\rm +BH}-\sigma$ and $M_{\rm BH}-L_{\rm bulge}$ relations \citep{YT02}. + +If, instead, we adopt a light-bulb, constant Eddington ratio, or +exponential light curve model for quasar evolution, we would have +$M_{\rm BH}^{f}\propto \Lp$, and thus the prediction would be similar +to the thin black line shown, a somewhat worse fit at high black hole +masses. However, in these models this can be remedied by adjusting the +typical Eddington ratios, quasar lifetimes, or radiative +efficiencies. We do not show the range of predictions of these models +for the relic supermassive black hole mass function, as they have been +examined in detail previously +\citep[e.g.,][]{Salucci99,MS02,YT02,Ferrarese02,AR02,Marconi04,Shankar04}. +These works demonstrate that the observed quasar luminosity functions +are consistent with the relic supermassive black hole mass function, +given typical radiative efficiencies $\epsilon_{r}\sim0.1$ and +Eddington ratios $\sim0.5-1.0$, and that most of the mass of black +holes is accumulated in bright, observed phases, or else the required +radiative efficiency would violate theoretical limits. + +That our model of quasar lifetimes and obscuration reproduces the +observed $z=0$ supermassive black hole mass function explicitly +demonstrates that we are consistent with these constraints. By +choice, the radiative efficiency in our simulations is +$\epsilon_{r}=0.1$, and accretion rates are not allowed to exceed +Eddington. As noted in \S~\ref{sec:BLqso}, most of the black hole mass +is accumulated and radiant energy released in the final, ``blowout'' +phase of quasar evolution, and here our black hole mass function and +cumulative black hole mass density demonstrate that our modeling is +consistent with integrated energy and mass arguments such as that of +\citet{Soltan82}, despite the fact that quasars spend more {\em time} +in obscured phases than they do in bright optical quasar phases. In +fact, comparison of our predicted total black hole mass density with +estimates from the $z=0$ black hole mass distribution allows some +latitude for significant mass gain in radiatively inefficient growth +or black holes in small, disky spheroids, although we emphasize that +this is mainly because the uncertainty in our prediction is large, it +is not inherent or necessary in our modeling. + +%\clearpage +\begin{figure*} + \centering + %\epsscale{1.1} + \plotone{f23.ps} + %\includegraphics[width=3.7in]{f20.ps} + \caption{Fractional number + density $n(M,\,z)/n(M,\,z=0)$ of black holes of a given mass as a function of + redshift, for several different black hole masses as shown. For + $z>2$ this includes the turnover (pure density evolution + form) in the quasar space density above $z=2$ from high-redshift + luminosity functions described in \S~\ref{sec:fullLF}. + Left panel shows the results using our full model of quasar lifetimes, + right panel assuming a ``light-bulb'' or exponential (constant + Eddington ratio) light curve model. + The yellow dot-dash ($10^{9}\,M_{\sun}$) and red triple-dot-dash + ($10^{10}\,M_{\sun}$) curves are nearly identical in the right panel. + \label{fig:SMBH.evol}} +\end{figure*} +%\clearpage + +The anti-hierarchical nature of black hole formation, where less +massive black holes are formed at lower redshift, is reflected in our +modeling by the shift of the break in the quasar luminosity function +to lower values with decreasing redshift. This can be seen in +Figure~\ref{fig:SMBH.distrib}, where the black hole mass distributions +are shown at redshifts $z=1.5,\,3.0\ {\rm and}\ 5.0$, assuming either +pure peak luminosity evolution or pure density evolution for $z>2$ +(dot-dashed and dashed, respectively). While the choice for the +turnover in the $z>2$ quasar density matters little for the $z<2$ +black hole mass functions, the low-$M_{\rm BH}$ distribution at high +redshift (where observations do not constrain $\nLp$ well) is quite +different between the two models. Figure~\ref{fig:SMBH.evol} plots +the fractional number density of black holes of a given mass as a +function of redshift, i.e.\ $n(M,\,z)/n(M,\,z=0)$, where $n(M)={\rm +d}n/{\rm d}\log{(M)}$ is just the number density at mass $M$. This +figure demonstrates that higher-mass black holes originated over a +larger range of redshifts, and that they mostly formed +at higher redshift, compared to lower-mass black holes. + +The right panel of Figure~\ref{fig:SMBH.evol} compares our prediction +to that of a light-bulb or exponential light curve model for quasar +lifetimes. In these models, the anti-hierarchical nature of black +hole assembly is dramatically suppressed. At the high-mass end, there +is no measurable difference in the distribution of formation redshifts +(i.e.\ the $M_{\rm BH}=10^{9}\,M_{\sun}$ and $M_{\rm +BH}=10^{10}\,M_{\sun}$ curves are indistinguishable), and there is +little change in the formation times at $M_{\rm BH}=10^{8}\,M_{\sun}$. +The shift in formation redshift at lower masses, although significant, +is smaller than that predicted in our model. If spheroids and black +holes are produced together, as in our picture, these models of the +quasar lifetime would imply that spheroids of masses $M_{\rm +vir}\sim10^{11}-10^{13}\,M_{\sun}$ all formed over nearly identical +ranges of redshifts, which is inconsistent with many observations +indicating anti-hierarchical growth of the red, elliptical galaxy +population \citep[e.g.,][]{Treu01,vanDokkum01,Treu02, +vDS03,Gebhardt03,Rusin03,vandeVen03,Wuyts04,Treu05,Holden05, +vdW05,SA05,Nelan05}. Implications of our model for the red galaxy +sequence are considered in \citet{H05e}, where we show that this +weaker anti-hierarchical black hole (and correspondingly, spheroid) +evolution is inconsistent with observed luminosity functions, +color-magnitude relations, and mass-to-light ratios of elliptical +galaxies. + +Our modeling reproduces the observed total density and mass +distribution of supermassive black holes at $z=0$ with black holes +accreting at the canonical efficiency $\epsilon_{r}=0.1$ expected for +efficient accretion through a \citet{SS73} disk. Presumably, a large +change in $\epsilon_{r}$ would give a significantly different relation +between peak luminosity and black hole mass (for the same $\Lp$, +$M_{\rm BH}^{f}\propto 1/\epsilon_{r}$), and thus if the quasar +lifetime remained similar as a function of peak luminosity, this would +translate to a shift in the black hole mass function. The long +obscured stage in black hole evolution does not generate problems in +reproducing the black hole mass density, and the final phases of +growth are still in bright optical quasar stages. However, a large +Compton-thick population of black holes at all luminosities (or even +at some range of luminosities at or above the break in the luminosity +function) \citep[e.g.,][]{Gilli01,Ueda03}, or a large population +accreting in a radiatively inefficient ADAF-type solution, +as invoked to explain discrepancies in the X-ray +background produced by synthesis models \citep{DEFN99}, would result in a significant +over-prediction of the present-day supermassive black hole density. +As we demonstrate in \S~\ref{sec:xrb.tot}, invoking such populations +is unnecessary, as our picture for quasar lifetimes and evolutionary +obscuration self-consistently reproduces the observed X-ray +background. + +Finally, we note that we reproduce the $z=0$ distribution of black +hole masses {\em inferred} from the distribution of spheroid velocity +dispersions \citep{Sheth03} and luminosity functions +\citep{Marzke94,Kochanek01,Nakamura03}, based on the observed $M_{\rm +BH}-\sigma$ relation and fundamental plane for galaxy properties +\citep[e.g.,][]{Bernardi03,Gebhardt03}. Therefore, since our modeling +also reproduces the observed $M_{\rm BH}-\sigma$ +\citep{DSH05,Robertson05b} and fundamental plane (Robertson et al., in +preparation) relations, we implicitly reproduce the $z=0$ distribution +of spheroid velocity dispersions and spheroid luminosity functions, +given our basic assumption that the mergers that produce these +spheroids also give rise to luminous quasar activity. + +\section{The Cosmic X-Ray Background} +\label{sec:xrb} +\subsection{The Integrated Spectra of Individual Quasars} +\label{sec:xrb.indiv} + +Unresolved extragalactic sources, specifically obscured AGN, have been +invoked to explain the cosmic X-ray background \citep[e.g,][]{SW89}. +This picture has been confirmed as deep surveys with {\it Chandra} and +{\it XMM-Newton} have resolved most or all of the X-ray background +into discrete sources, primarily obscured and unobscured AGN +\citep{Brandt01,Hasinger01,Rosati02,Giacconi02,Baldi02}. The X-ray +background, however, has a harder X-ray spectrum than typical quasars, +with a photon index $\Gamma\sim1.4$ in the $1-10$\,keV range +\citep{Marshall80}. Therefore, obscured AGN are important in +producing this shape, as absorption in the ultraviolent and soft +X-rays hardens the observed spectrum. Indeed, population synthesis +models based on observed quasar luminosity functions and involving +large numbers of obscured AGN have been successful at matching both +the X-ray background intensity and spectral shape +\citep{Madau94,Comastri95,Gilli99,Gilli01}. However, these models make +arbitrary assumptions about the ratio of obscured to unobscured +sources and its evolution with redshift, choosing these quantities to +reproduce the X-ray background. Furthermore, as X-ray surveys have +been extended to higher redshifts, it has become clear that both the +observed redshift distribution of X-ray sources and the ratio of +obscured to unobscured sources is inconsistent with that required by +these models \citep{Hasinger02,Barger03}. Even synthesis models based +on higher-redshift X-ray surveys and using observationally derived +ratios of obscured to unobscured sources \citep[e.g.,][]{Ueda03} have +invoked ad hoc assumptions about additional populations of obscured +sources to reproduce the X-ray background shape and intensity. + +%\clearpage +\begin{figure*} + \centering + \plotone{f24.ps} + %\includegraphics[width=3.7in]{f21.ps} + \caption{Left: Integrated intrinsic spectra (thick solid lines) + from simulations A1, A2, A3, A4, and A5 (black, blue, green, + yellow, red, respectively), with virial velocities $\vvir=80,\, 113,\, + 160,\, 226,\, {\rm and}\ 320\,{\rm km\,s^{-1}}$. The predicted + integrated spectra from our model for quasar lifetimes are shown + as dot-dashed lines, and the prediction of a ``light bulb'' + model, where the same total energy is radiated at $L=\Lp$, as + dashed lines. Integrated observed spectra are shown as thin solid + lines. Right: Integrated observed X-ray spectrum from the A3 + simulation (thick black line), compared with the integrated + intrinsic spectrum, reddened by various column density + distributions: our fitted \NH\ distributions from \S~\ref{sec:NHfunction} + (thick black dashed line), constant (luminosity-independent) lognormal + \NH\ distribution with $\meanNH=10^{22}\ {\rm cm^{-2}}$ and + $\sigNH=0.4,\,0.7,\,1.0$ (blue, green, and red dashed lines, + respectively), and constant + $\nh=10^{21},\,10^{21.5},\,10^{22},\,10^{22.5},\ {\rm and}\ 10^{23}\ + {\rm cm^{-2}}$ (thin dot-dashed lines). + \label{fig:integ.spectra}} +\end{figure*} +%\clearpage + +We can test our model by examining whether the quasar luminosity +function, relic AGN mass distribution, and X-ray background can be +simultaneously reproduced in a self-consistent manner. Because our +formulation describes the birthrate of quasars with a peak luminosity +$\Lp$, it is most useful to consider the integrated energy spectrum of +such a quasar over its lifetime, +\begin{equation} +\nu E_{\nu} = \int{{\rm d}t\,\nu L_{\nu}(t)} = \int{\nu f_{\nu}(L) + L\,\frac{{\rm d}t(L,\Lp)}{{\rm d}\log L}\,{\rm d}\log L}, +\end{equation} +where $f_{\nu}(L)$ is the bolometric correction ($L_{\nu}\equiv +f_{\nu}\,L$). As an example, +Figure~\ref{fig:integ.spectra} shows the integrated +intrinsic spectra (thick solid lines) from the simulations +A1, A2, A3, A4, and A5, +described in \S~\ref{sec:sims}. The final black hole masses for these +simulations are +$\mbhf=7\times10^{6},\,3\times10^{7},\,3\times10^{8},\,7\times10^{8},\,{\rm +and}\ 2\times10^{9}\, M_{\sun}$, +respectively. The integrated spectral shape in the +X-ray, in particular, is ultimately determined by the observationally +motivated bolometric corrections of \citet{Marconi04}, with a +reflection component in the X-ray determined following \citet{MZ95}, +and, in the case of the observed spectrum, the distribution of column +densities calculated from the simulations. Using our fits +to the lifetime $\dtdL$ as a function of instantaneous and peak +luminosities, we can calculate the expected $\nu E_{\nu}$ from the +integral above. These integrated spectra are shown as the dot-dashed +lines in the figure, and agree well with the actual integrated spectra +of the simulations, demonstrating the self-consistency of our model +and applicability of our fitted lifetimes. + +This can be compared to idealized models for the quasar lifetime, +where we allow the quasar to radiate just at its peak luminosity +$\Lp\approx L_{\rm Edd}(\mbhf)$ for some fixed lifetime +$t_{Q}^{0}$. We determine $t_{Q}^{0}$ by demanding that the total +energetics be correct, $\Lp t_{Q}^{0} = \epsilon_{r}\mbhf c^{2}$. The +predicted integrated energy spectra are shown as the dashed lines, and +under-predict the soft and hard X-ray energy output by a factor +$\sim1.5-2$. This is because higher-luminosity quasars tend to have a +larger fraction of their energy radiated in the UV-optical rather than +the X-ray \citep[e.g.,][]{Wilkes94,Green95,VBS03,Strateva05}, +reflected in our bolometric corrections. Thus, assuming that the +quasar spends all its time at $\Lp$ does not account for extended +times at lower luminosity, where the ratio of X-ray to total +luminosity is higher, which would generate an integrated spectrum with +a larger fraction of its energy in the X-ray. Assuming that the quasar +undergoes pure Eddington-limited growth to its peak luminosity +produces an almost identical integrated spectrum to this light-bulb +model, as it is similarly dominated by $L\sim\Lp$. + +Of course, the intrinsic integrated energy spectrum of the simulations +is not what determines the X-ray background, but rather the integrated +{\em observed} spectrum is the critical quantity. This is shown as the +thin lines in the left panel of Figure~\ref{fig:integ.spectra}, and in +detail for our fiducial A3 simulation in the right panel of the figure +(thick solid line). Along a given sightline, the observed integrated +spectrum will be +\begin{equation} +\nu \frac{{\rm d} E_{\nu}}{{\rm d}\Omega}=\int{{\rm d}t\,\nu \frac{L_{\nu}(t)}{4\pi}\,e^{-\tau_{\nu}(\Omega,\,t)}}, +\end{equation} +where $\tau_{\nu}$ is the optical depth at a given frequency. +We can integrate over solid angle and obtain +\begin{equation} +\nu E_{\nu,\,{\rm obs}} = \int{\nu f_{\nu}\EV{e^{-\tau_{\nu}}}\, + L\,\frac{{\rm d}t(L,\Lp)}{{\rm d}\log L}\,{\rm d}\log L}, +\end{equation} +where $\EV{e^{-\tau_{\nu}}}$ is the averaged $e^{-\tau_{\nu}}$ over +the column density distribution $P(\nh | L,\Lp)$. Using our fits to +the column density distribution and quasar lifetimes and calculating +$\nu E_{\nu,\,{\rm obs}}$ as above, we reproduce the integrated +observed spectrum quite well (black dashed line). For +comparison, we show that it is not a good approximation to redden the +spectrum with a constant \NH, giving the results for +$\nh=10^{21},10^{21.5},10^{22},10^{22.5},\ {\rm and}\ 10^{23}\ {\rm +cm^{-2}}$ (thin dot-dashed lines). Even allowing for a distribution +of \NH\ values, the resulting spectrum is a poor match to the observed +one if that distribution is taken to be static (i.e.\ +luminosity-independent, as in traditional torus models, for +example). We show the results of reddening the intrinsic spectrum by +such a (Gaussian) distribution, varying the dispersion $\sigNH=0.4,\,0.7,\,1.0$ +(blue, green, and red dashed lines, respectively), for a median column +density $\meanNH=10^{22}\ {\rm cm^{-2}}$, the median column density +expected around $\Lp$ in this simulation. Therefore, the luminosity and host system +property dependence of both quasar lifetimes and the column density +distribution must be accounted for in attempting to properly predict +the X-ray background spectrum from observations of the quasar +luminosity function. Finally, note that the hard cutoff in the +observed UV spectra at 912\AA\ owes to our calculated cross-sections +being incomplete in the extreme UV. Properly modeling the escape +fraction and observed emission at these frequencies, while not +important for the X-ray background, is critical to calculating the +contribution of quasars to reionization, and requires a more +detailed modeling of scattering and absorption, especially in the +bright optical quasar phase. + +\subsection{The Integrated X-Ray Background} +\label{sec:xrb.tot} + +Given the volume emissivity $j_{\nu}(z)$ (per unit {\em +comoving} volume) of some isotropic process at a given frequency at +redshift $z$, the resulting background specific intensity at frequency +$\nu_{0}$ at $z=0$ is \citep{Peacock99} +\begin{equation} +I_{\nu_{0}} = \frac{c}{4\pi} +\int{\frac{j_{\nu}[(1+z)\nu_{0},z]}{(1+z)H(z)}} {\rm d}z. +\end{equation} +If we were to consider the emissivity $j_{\nu}$ per unit +physical volume, there would be an extra factor of $(1+z)^{-3}$ in the +integral above. In \S~\ref{sec:xrb.indiv}, we determined the +integrated observed energy $E_{\nu,\, \rm obs}(\Lp)$ produced by a +quasar with peak luminosity $\Lp$. We have also inferred $\nLp(z)$ +in \S~\ref{sec:fullLF}, the rate at which quasars of peak luminosity +$\Lp$ are created per unit comoving volume per unit cosmological +time. Therefore, the comoving volume emissivity is just +\begin{equation} +j_{\nu}(z) = \int{E_{\nu,\, \rm obs}(\Lp)\,\nLp\,d\log \Lp}, +\end{equation} +or, expanding $E_{\nu,\, \rm obs}$, +%\begin{equation} +%\begin{split} +%j_{\nu}(z) = & \int{d\log \Lp\int{d\log L}} \\ +% & \times f_{\nu}\EV{e^{-\tau_{\nu}}}\, L\,\frac{dt(L,\Lp)}{{\rm d}\log L}\,\nLp. +%\end{split} +%\end{equation} +\begin{eqnarray} +j_{\nu}(z)& = & \int{d\log \Lp\int{d\log L}} \nonumber\\ + && \times f_{\nu}\EV{e^{-\tau_{\nu}}}\, L\,\frac{dt(L,\Lp)}{{\rm d}\log L}\,\nLp. +\end{eqnarray} +If the column density distribution were independent of +$\Lp$, as is assumed in even luminosity-dependent torus models or +observationally determined \NH\ functions used for X-ray background +synthesis \citep[e.g.,][]{Ueda03}, then we could combine terms in +$\Lp$ and integrate over them. This simplification, along with the +definition of the luminosity function in terms of $\Lp$, gives the +more traditional formula for the X-ray background in terms of only the +observed column density distribution and luminosity function, +\begin{equation} +j_{\nu}(z) = \int{d\log L\,\frac{d\Phi}{d\log L} L_{\nu}\EV{e^{-\tau_{\nu}}}}. +\label{eq:simple.XRB} +\end{equation} +However, as we showed in \S~\ref{sec:NHdistrib} and +\S~\ref{sec:xrb.indiv}, neglecting the dependence on $\Lp$ is not a +good approximation at all luminosities and gives an inaccurate +estimate of the integrated quasar spectrum; therefore, ``purely +observation-based'' synthesis models of the X-ray background will be +inaccurate in a similar manner to synthesis models with an +inappropriate model for the quasar lifetime. Essentially, this +``averages out'' the varying distribution of column densities with +$\Lp$, which changes the shape of the spectrum in a non-linear manner, +especially when integrated over varying bolometric corrections as +shown above. + +%\clearpage +\begin{figure} + \centering + %\epsscale{.7} + \plotone{f25.ps} + %\includegraphics[width=3.7in]{f22.ps} + \caption{Predicted integrated X-ray background spectrum (solid + black line) from our model of quasar lifetimes and attenuation, + with the peak luminosity distribution $\nLp$ determined from the + luminosity function. Blue and red thick lines show the observed spectrum + from \citet{Barcons00} and \citet{Gruber99}, respectively. The + shaded yellow area illustrates the uncertainty in normalization + between both samples (alternatively, $2\sigma$ errors in the + Barcons et al.\ 2000 normalization). The predictions given + $1\sigma$ deviations in the fitted $\nLp$ distribution (dotted + lines) and given the $\nLp$ distribution determined from hard + X-ray data only (dashed line) are shown in the upper panel. Middle + panel shows the prediction using our modeling of quasar lifetimes + but different models of obscuration, lower panel the prediction with a + ``light-bulb'' or exponential (constant Eddington ratio) model + and different obscuration models. + \label{fig:XRB.spectrum}} +\end{figure} +%\clearpage + +Figure~\ref{fig:XRB.spectrum} (upper panel) shows the predicted X-ray +background spectrum from our full modeling of quasar lifetimes and +obscuration (solid lines). We use our analytical fits to the quasar +lifetime and column density distributions as in \S~\ref{sec:xrb.indiv} +above, as Figure~\ref{fig:integ.spectra} demonstrates that they +accurately reproduce the actual integrated quasar X-ray spectra of the +simulations, and the analytical forms are integrated over all +luminosities and redshifts. The dotted lines show the deviation +resulting from shifting the parameters describing our fitted $\nLp$ +distribution by $1\sigma$ in either direction, although degeneracies +in the parameters suggest that the actual uncertainty in the +background prediction is smaller. The dashed line shows the predicted +X-ray background if we ignore the broadening of the \NH\ distribution +across simulations ($\sigNH=1.2$) and instead consider only the +dispersion of an individual simulation at a given luminosity +($\sigNH=0.4$). + +These can be compared to the observations of \citet{Gruber99} (red +curve, for $E\geq3\,{\rm keV}$) and \citet{Barcons00} (cyan curve, for +$E\leq10\,{\rm keV}$). We increase the normalization of the +\citet{Gruber99} spectrum to match that of the best estimate from +\citet{Barcons00} over the range of overlap, determined from combined +{\it ASCA, BeppoSAX,} and {\it ROSAT} data to be +$10.0^{+0.6}_{-0.9}\,{\rm keV\,cm^{-2}\,s^{-1}\,sr^{-1}\,keV^{-1}}$ at +1\,keV. The uncertainty in the normalization between the two samples, +$\sim20\%$, is shown as the shaded yellow range (alternatively, this +represents the $\sim2\sigma$ errors in the {\it ROSAT} normalization). + +In the middle panel of the figure, we calculate the predicted X-ray +background using our full model of the quasar lifetime, but with +different models for quasar obscuration. The solid black line shows +the prediction using our full model of quasar obscuration, and is +identical to the solid black line in the upper panel. The observations +are likewise shown in an identical manner to the upper panel. The +dashed black line is the prediction adopting the standard torus model +for quasar obscuration, and the dotted line adopts the receding +(luminosity-dependent) torus model. These models produce the same +overall $\sim30\,$keV normalization, as this is relatively unaffected +by obscuration, but they predict a slightly ($\sim20\%$) higher +background at low energies, giving a slightly softer spectrum. This +may appear counterintuitive, given that in Figure~\ref{fig:NH.distrib} +these models tend to overpredict the number of high-column density +sources, but this is because these models predict a strongly {\em +bimodal} column density distribution, with unobscured sightlines +encountering negligible column densities. These unobscured sightlines +dominate the soft X-ray integrated spectrum, where the large column +densities through the torus attenuate the quasar spectrum heavily. +However, this net offset in the predicted background spectrum is +generally within the range of the systematic theoretical and +observational uncertainties, and can further be alleviated by tuning +the parameters of the torus model to fit the X-ray background spectrum +(e.g.\ Treister \& Urry 2005, although their fits require a larger +fraction of Compton-thick $\nh\sim10^{25}\,{\rm cm^{-2}}$ sources than +shown for even the receding torus model in +Figure~\ref{fig:NH.distrib}). The feature at +$\lesssim5\,$keV in the standard torus model prediction is a +consequence of assuming that ``unobscured'' lines of sight encounter +negligible column density, and does not appear if such sightlines +encounter moderate ($\sim10^{21}\,{\rm cm^{-2}}$) columns. + +The lower panel of the figure shows the predicted X-ray background +spectrum if we instead consider a light-bulb or exponential light +curve (fixed Eddington ratio) model for the quasar lifetime, again +with various descriptions of quasar obscuration. In such models, the +predicted X-ray background spectrum is independent of the quasar +lifetime or characteristic Eddington ratio assumed (see +Equation~\ref{eq:simple.XRB}). However, as shown in +Figure~\ref{fig:integ.spectra}, these models do imply a different +integrated spectrum for quasars; i.e.\ different effective bolometric +corrections for predicting the X-ray background. In particular, in +this model, the observed quasar spectrum at a given luminosity +(averaged over the quasar population at that luminosity) is the same +as the ``effective'' quasar spectrum one would use to calculate the +{\em total} contribution to the X-ray background from quasars of the +corresponding observed or peak luminosity, whereas this is not true in +our model of quasar lifetimes. The observations are shown in the same +manner as the preceding panels. The black solid line shows the +prediction with this simplified model for the quasar lifetime, but +still adopting our full model for obscuration as a function of +instantaneous and peak luminosity, the dashed line assumes instead a +standard torus model for obscuration, and the dotted line assumes a +receding torus for the obscuration. The variations among different +obscuration models are relatively small at most energies, and similar +to those discussed above adopting our full model of quasar +lifetimes. + +In all three cases, however, this model for the quasar lifetime +significantly under-predicts the X-ray background, particularly at the +$\sim30\,$keV peak. This shortfall is well-known, and earlier attempts +\citep[e.g.,][]{Madau94,Comastri95,Gilli99,Gilli01,Pompilio00,Ueda03} +have generally had to invoke additional assumptions about large +obscured populations or a strong increase in the obscured fraction +with redshift, neither of which is consistent with observations +\citep[e.g.,][]{Hasinger02,Barger03,Ueda03,Szokoly04,Barger05}. The +difference between the predictions of various quasar lifetime models +is, as explained above, attributable to the difference between the +integrated quasar spectrum produced in our full model of the quasar +lifetime (in which quasars spend long periods of time at low +luminosities, with harder X-ray spectra), and the integrated spectrum +in these simplified quasar lifetime models, which is proportional to +the {\em instantaneous} quasar spectrum, and therefore underpredicts +the hard X-ray portion of the spectrum by as much as $\sim50\%$. + +Our prediction of the X-ray background agrees well with the observed +spectrum over the range $\sim1-100\,{\rm keV}$. (At energies above +$100\,{\rm keV}$ it is likely that processes we have not included, +such as those involving magnetic fields, contribute significantly to +the background.) Unlike previous synthesis models for the X-ray +background, we are able to do so without invoking assumptions about +large Compton thick populations or larger obscured populations at +different redshifts. In part, this is because our modeling allows us +to predict, based on $\nLp$ and our column density formulation, the +population of Compton thick sources (see +Figure~\ref{fig:NH.distrib}). However, as we have demonstrated, it is +primarily because the deficit in previous synthesis models can be +attributed to their inability to properly account for the dependence +of quasar lifetimes and attenuation on both the instantaneous quasar +luminosity and the host system properties (peak luminosity). Our +picture, on the other hand, yields an estimate for the X-ray +background spectrum that is simultaneously consistent with the +observed supermassive black hole mass distribution and total density, +as well as the ``luminosity-dependent density evolution'' observed in +X-ray samples \citep{H05f}. The background is primarily built up from +$z\sim2.5$ to $z\sim0.5$, as is evident from the evolution of the black +hole mass density in Figure~\ref{fig:SMBH.distrib}, although a harder +spectrum at low luminosities will weight this slightly towards lower +redshifts (where more low-luminosity quasars are forming). Compton +thick and relaxing, low-luminosity sources are accounted for, not as +large, independent populations, but as evolutionary phenomena +continuously connected to the ``normal'' quasar population. + +\section{Discussion} +\label{sec:discussion} + +\subsection{General Implications of our Model} +\label{sec:genimpl} + +Our modeling suggests two important paradigm shifts in interpreting +quasar populations and evolution: + +{\bf (1)} First, as proposed in \citet{H05c}, a proper accounting of +the luminosity dependence of quasar lifetimes (as opposed to models in +which quasars grow in a pure exponential fashion or turn on and off as +``light bulbs'') implies a novel interpretation of the luminosity +function. The steep bright end (luminosities above the ``break'' in +the luminosity function) consists of quasars radiating near their +Eddington limits and is directly related to the distribution of +intrinsic peak luminosities (or final black hole masses) as has been +assumed previously. However, the shallow, faint end of the luminosity +function describes black holes either growing in early stages of +activity or in extended, quiescent states going into or coming out of +a peak bright quasar phase, with Eddington ratios generally between $l +\sim0.01$ and 1. The ``break'' luminosity in the luminosity function +corresponds directly to the {\em peak} in the birthrate of quasars +as a function of peak luminosity $\nLP$. + +This interpretation resolves inconsistencies in a number of previous +theoretical studies. For example, semi-analytical models of the quasar +luminosity functions \citep[e.g.,][]{KH00,HM00,WL03} assume, based on +simplified models for the quasar lifetime, that quasars at the faint +end of the luminosity function correspond to low final-mass black +holes (low $\Lp\sim L$), presumably in small halos. Consequently, +these models overpredict the number of active low-mass black holes (as +estimated from radio source counts), especially at high redshift, by +orders of magnitude \citep{HQB04}, and overpredict the number of +low-mass spheroids and red galaxies observed \citep{H05e}. + +Moreover, both observations \citep{MD04} and comparison of the +present-day black hole mass function with radio and X-ray luminosity +functions \citep[e.g.][]{Merloni04} suggest anti-hierarchical +evolution for the growth of supermassive black holes, where the most +massive black holes were produced mainly at high ($z\gtrsim2$) +redshift, and low-mass black holes mostly formed later, which does +not follow from idealized descriptions of quasar lifetimes and the +luminosity function (for a review, see e.g.\ Combes 2005). + +A one-to-one correspondence between observed luminosity and black hole +mass does produce anti-hierarchical behavior in some sense at the +high-mass end, because the most massive black holes are formed at +$z\sim2-3$ during the peak of bright quasar activity and the quasar +luminosity function evolves to lower luminosities at lower redshifts +(as is also the case for our model because the bright end of the +luminosity function is dominated by sources near their peak +luminosities). However, at black hole masses equal to or below +$\sim10^{8}\,M_{\sun}$ (i.e.\ galaxies of stellar mass +$\lesssim10^{11}\,M_{\sun}$), the evolution in the quasar luminosity +function implies a roughly constant production of black holes with +these masses at all redshifts, which is inconsistent with observations +of galaxy spheroids indicating that typical ages increase with mass, +ruling out a large population of low-mass spheroids with ages equal to +or older than those of high-mass spheroids +\citep[e.g.,][]{Treu01,vanDokkum01,Treu02, +vDS03,Gebhardt03,Rusin03,vandeVen03,Wuyts04,Treu05,Holden05,vdW05,SA05, +Nelan05}. As demonstrated in Figure~\ref{fig:SMBH.evol}, such a model +does not produce anti-hierarchical growth or any age gradients within +the high-mass spheroid population, also inconsistent with +observations. Even given observed ``luminosity-dependent density +evolution'' +\citep[e.g.][]{Page97,Miyaji00,Miyaji01,LaFranca02,Cowie03, +Ueda03,Fiore03,Hunt04,Cirasuolo05,HMS05}, implying that the densities +of lower redshift quasars peak at lower redshift, the inferred +anti-hierarchical evolution if observed luminosity directly +corresponds to black hole mass (i.e.\ as in ``light-bulb'' or ``fixed +Eddington ratio'' models) is not strong enough to account for observed +anti-hierarchical growth of the corresponding galaxy spheroids +\citep{H05e}. + +Furthermore, in these earlier models, a ``break'' in the luminosity +function is not necessarily reproduced \citep{WL03}, and the faint-end +slope has no direct physical motivation. The break may be caused by +feedback mechanisms which set a characteristic turnover in both the +galaxy mass function and quasar luminosity function (e.g., Scannapieco +\& Oh 2004; Dekel \& Birnboim 2004), as in our modeling. The $\nLp$ +distributions in our model and ``light bulb'' or ``fixed Eddington +ratio'' models are comparable at and above the break in the quasar +luminosity function, and therefore make similar predictions for some +observations at these luminosities. However, the {\em faint-end} +slope has a different physical motivation in our model. Unlike the +bright-end slope, which is determined directly by the active final +black hole mass function or peak luminosity distribution (in +essentially all models of the quasar lifetime), the faint-end slope in +our modeling is a consequence of the quasar lifetime as a function of +luminosity, and is a prediction of our simulations and modeling almost +independent of the underlying faint-end slope of the active black hole +mass function or peak luminosity distribution. In \citet{H05f} we +examine this in more detail, and demonstrate that it predicts well the +evolution in the faint-end quasar luminosity function slope with +redshift and the observed ``luminosity-dependent density evolution'' +in many samples \citep{Page97,Miyaji00,Miyaji01,LaFranca02,Cowie03, +Ueda03,Fiore03,Hunt04,Cirasuolo05,HMS05}. + +Other observational evidence for our picture exists; for example in +the observed distribution of Eddington ratios (see +\S~\ref{sec:eddington}), the distribution of low-redshift, active +black hole masses (see \S~\ref{sec:BLmasses}), and the turnover in the +expected distribution of black hole masses in early-type galaxies at +$\sim10^{8}\,M_{\sun}$ \citep[e.g.,][]{Sheth03}. Total (integrated) +quasar lifetimes estimated from observations are inferred to increase +with increasing black hole mass as we predict \citep{YT02}, and +furthermore, the Eddington ratios of observed quasar samples are seen +to increase systematically with redshift, as the sample becomes +increasingly dominated by luminosities above the break in the +luminosity function \citep{MD04}. + +Moreover, observations show that the evolution of the luminosity +function with decreasing redshift is driven by a decrease in the +characteristic mass scale of actively accreting black holes +\citep[e.g.,][]{Heckman04}, which can be explained in our model by the +relation of the observed luminosity function to the {\em peak} in the +distribution of active black hole masses $\nLp$. This observation, +however, has caused considerable confusion, as observations of both +radio-quiet \citep{WooUrry02} and radio-loud \citep{ODowd02} local +(low redshift) AGN indicate that nuclear and host luminosities are +uncorrelated, implying that nuclear luminosity does not depend on +black hole mass \citep{Heckman04}, and therefore that the primary +variable determining the nuclear luminosity is the Eddington ratio, +with the luminosity function spanning a broad range in Eddington +ratios \citep{Hao05}. Furthermore, observations show that this is +{\em not} true of high redshift quasars, as both direct estimates of +accretion rates \citep[e.g.,][]{Vestergaard04,MD04} and the fact that +their high luminosities would yield unreasonably large black hole +masses rule out substantially sub-Eddington accretion rates for most +objects. Many previous empirical and semi-analytical models could not +simultaneously account for these observations. To explain just the +low-redshift observations, such models adopt tunable distributions of +Eddington ratios fitted to the data. However, both these observations +are consequences of our interpretation of the luminosity function, as +observations of local AGN and the low-redshift luminosity function are +dominated by quasars below the break in the luminosity function, which +are undergoing sub-Eddington growth and span a wide range of Eddington +ratios, while observations at high redshift are dominated by bright +objects at or above the break in the luminosity function, which are +undergoing Eddington-limited (or near Eddington-limited) growth near +their peak luminosity (see \S~\ref{sec:eddington}). + +{\bf (2)} The second paradigm shift indicated by our modeling is that +quasar obscuration is not a static or quasi-static geometric effect, +but is primarily an {\em evolutionary} effect. The physical reasoning +for this is simple: the massive gas inflows required to fuel quasar +activity produce large obscuring columns, and so column densities are +correlated with quasar luminosity. The basic picture of buried quasar +activity associated with the early growth of supermassive black holes +and starburst activity has been proposed previously and studied for +some time \citep[e.g.,][]{SM96,Fabian99}, but our modeling allows us +to describe the evolution of obscuration in a self-consistent manner, +defining obscured and unobscured phases appropriately and identifying +dynamical correlations between the column density distribution and +instantaneous and peak luminosities. + +There is substantial observational support for this picture. Point-like X-ray +sources have been observed in many bright sub-millimeter or infrared +and starburst sources, with essentially all very luminous infrared +galaxies showing evidence of buried quasar activity +\citep[e.g.,][]{SM96,Komossa03,Ptak03}, indicating simultaneous buried +black hole growth and star formation at redshifts corresponding to +peak quasar activity ($z\gtrsim1$) \citep{Alexander05a,Alexander05b}. +The buried black holes in high-z starbursting galaxies appear to be +active but undermassive compared to the quiescent galaxy black +hole-stellar mass relation \citep{Borys05}, implying that they are +rapidly growing in the starburst but have not yet reached their final +masses, presumably set in the subsequent ``blowout'' phase. +Similarly, observations suggest that obscured AGN are significantly +more likely to exhibit strong sub-millimeter emission characteristic +of star formation, implying both that obscured black hole growth and +star formation are correlated and that obscuration mechanisms +(responsible for re-radiation in the submm and IR) may be primarily +isotropic in at least some cases \citep[e.g.,][]{Page04,Stevens05}. +Evidence from quasar emission line structure +\citep[e.g.,][]{Kuraszkiewicz00,Tran03}, directly related to the inner +broad-line region, suggests that isotropic obscuration of quasars can +be important, in contradiction to angle-dependent models. Finally, +many observations +\citep[e.g.,][]{Steffen03,Ueda03,Hasinger04,GRW04,sazrev04,Barger05,Simpson05} +indicate that the fraction of broad-line or obscured quasars is a +function of luminosity, which cannot be accounted for in traditional +static ``torus'' models \citep[e.g.,][]{Antonucci93} or reproduced +even by modified luminosity-dependent torus models \citep{Lawrence91}, +an observation that is explained by our model (see +\S~\ref{sec:BLqso} for a detailed discussion). + +Much of the obscuration in our modeling comes from large scales, +arising from the inner regions of the host galaxy on scales +$\sim50\,$pc or larger. While our resolution limits prevent our +ruling out the possibility of gas collapse to a dense, $\sim\,$pc +scale torus surrounding the black hole, during the peak obscured +phases of the final merger, our simulations indicate that these large +scales dominate the contribution to the column density, with quite +large columns, which should be observationally testable. Indeed, this +is suggested by the typical scales of obscuration in starbursting +systems (e.g.\ Soifer et al.\ 1984a,b; Sanders et al.\ 1986, 1988a,b; +for a review, see e.g.\ Soifer et al.\ 1987), given that, as discussed +above, the dominant obscured phase of growth is closely associated +with a starburst as implied observationally +\citep{Alexander05a,Alexander05b,Borys05}. + +Observations of polarized light in intrinsically bright Type II AGN +with unobscured luminosities typical of quasars (as opposed to local, +dim Seyfert II objects in relaxed hosts) show scattering on large +scales $\sim$kpc, and in some cases obscuration clearly generated over +scales extending beyond the host galaxy in the form of distortions, +tidal tails, and streams from interactions and major mergers +\citep{Zakamska04,Zakamska05}. The angular structure seen in these +observations is consistent with our modeling. Moreover, in optically +faint X-ray quasars \citep[e.g.][]{Donley05} it appears that +obscuration is generated by the host galaxies, and is directly related +to host galaxy morphologies and line-of-sight distance through the +host. The critical point is that, regardless of the angular structure +of obscuration, typical column densities are strongly evolving +functions of time, luminosity, and host system properties, and the +observed distribution of column densities is dominated by these +effects, not by differences in viewing angle across a uniform +population. This is the case in our modeling as the lognormal +dispersion (across different lines of sight) in column densities is +$\sigNH\sim0.4$ for a given simulation at some instant, whereas +typical column densities across simulations, as a function of +instantaneous and peak luminosities, span several orders of magnitude +from $\nh\sim10^{18}-10^{26}\ {\rm cm^{-2}}$. + +\subsection{Specific Predictions of our Model} +\label{sec:specpred} + +Our predictions include: + +\begin{itemize} + +\item Quasar Lifetimes: We find that for a particular source, the +quasar lifetime depends sensitively on luminosity, with the observed +lifetime in addition depending on the observed waveband. Intrinsic +quasar lifetimes vary from $t_{Q}\sim10^{6}-10^{8}$\,yrs, with +observable lifetimes $\sim10^{7}$\,yrs in optical B-band +\citep{H05a,H05b}, in good agreement with observational estimates +\citep[for a review, see][]{Martini04}. + +\item Luminosity Functions: Using a parameterization of the intrinsic +distribution of peak luminosities (final quasar black hole masses) at +a given redshift, our model of quasar lifetimes allows us to reproduce +the observed luminosity function at all luminosities and redshifts +$z=0-6$. Although this is an empirical determination of the peak +luminosity distribution, it implies a new interpretation of the +luminosity function \citep{H05c}, which provides a physical basis for +the observed ``break'' corresponding to the peak in the peak +luminosity distribution. Moreover, the faint end slope is not +determined by our empirical fitting procedure, but instead by the +dependence of the quasar lifetime on luminosity, with its value and +redshift evolution predicted by our modeling \citep{H05f}. The +evolution of typical column densities in different stages of merger +activity produces a significant population of obscured quasars, +accounting for the difference between hard X-ray \citep[e.g.,][]{Ueda03}, +soft X-ray \citep[e.g.,][]{Miyaji01}, and optical B-band +\citep[e.g.,][]{Croom04} luminosity functions (\S~\ref{sec:fullLF}). + +\item Column Density Distributions: The evolution of the column +densities in our simulations reproduces the observed distribution of +columns in optically-selected quasar samples, when the appropriate +selection criteria are applied \citep{H05b}, as well as complete +column distributions in hard X-ray selected samples +(\S~\ref{sec:NHdistrib}). Column density evolution over the course of +a merger yields a wider observed distribution of columns than that +produced across different viewing angles at a given point in a +merger. + +\item Broad Line Luminosity Function and Fraction: Using our +simulations to estimate when quasars will be observable as broad-line +objects (either based on the ratio of quasar to host galaxy optical +B-band luminosity or the obscuring column density), we reproduce the +luminosity function of broad-line quasars in hard X-ray selected +samples as well as optical broad-line quasar surveys, and the fraction +of broad-line quasars in a given sample as a function of luminosity, +to better precision than traditional or luminosity-dependent (but +non-dynamical) torus models which are fitted to the data +(\S~\ref{sec:BLfraction}). By providing an a priori prediction of the +broad-line fraction as a function of luminosity and redshift which +depends systematically on the typical quasar host galaxy gas fraction, +we propose that observations of the broad line fraction at different +redshifts can be used to constrain the gas fraction of quasar hosts +and its evolution with redshift. + +\item Active Black Hole Mass Functions: Using our prescription for +deciding when objects will be visible as ``broad-line'' quasars, we +predict the distribution of low-redshift, broad-line and non-broad +line active quasar masses, in good agreement with observations from +the SDSS, with expected incompleteness in the observed sample at low +$M_{\rm BH}\lesssim10^{6}\,M_{\sun}$ black hole masses +(\S~\ref{sec:BLmasses}). This is a new prediction which can be tested +in greater detail by future observations, and our calculations allow +us to model the differences in active black hole mass functions of the +Type I and Type II populations. The width of the expected broad-line +black hole mass function depends significantly on the model of quasar +lifetimes, enabling such measurements to probe the statistics of +quasar evolution. + +\item Eddington Ratios: We determine Eddington ratio distributions +from our simulations, given the peak luminosity distribution implied +by the observed quasar luminosity function. The predicted +distribution, once the appropriate observed magnitude limit is +imposed, agrees well with observations at both low ($z<0.5$) and high +($1.5\Lcut{11})\sim1-3\times10^{5}\ +{\rm Mpc^{-3}}$, in agreement with the $\sim5\times10^{5}\ {\rm +Mpc^{-3}}$ density of such sources expected to reproduce the observed +cumulative source density $4\times10^{4}\,{\rm deg^{-2}}$ of 1\,mJy +$850\,\mu{\rm m}$ SCUBA sources \citep{Barger99}. Furthermore, our +prediction of the fraction of buried AGN and its evolution with +redshift agrees well with determinations from X-ray samples +\citep{Barger05} and recent Spitzer results in the mid and +near-infrared at $z\sim2$ \citep{Martinez05}. + +\subsection{AGN not Triggered by Mergers} +\label{sec:nonmerger} + +Some low redshift quasars (e.g.\ Bahcall et al.\ 1996) and many +nearby, low-luminosity Seyferts appear to reside in ordinary, +relatively undisturbed galaxies. Our picture for quasar evolution +does not immediately account for these objects because we suppose that +nuclear activity is mainly triggered by tidal torques during a merger. + +This work is primarily concerned with the origin of the +majority of the mass in spheroids and supermassive black holes, and as +a consequence, the relation of this to the abundance and +evolution of quasars and the cosmic X-ray background. Based on our +present analysis, we believe that a merger-driven picture can account +for the main part of each of these, and, as described earlier, that the +most relevant phase in the history of the Universe to these phenomena +appears to have been at moderate redshifts, $z\sim2.5$ to $z\sim0.5$. + +Our model does not exclude other mechanisms for triggering AGN and it +is likely that a variety of stochastic or continuous processes are +relevant to nuclear activity in undisturbed disks and residual +low-level accretion in relaxed systems. This is not contrary to our +picture because most of the total black hole mass density in the +Universe is in spheroid-dominated systems. The principal requirement +of our model is that AGN activity in undisturbed galaxies should not +contribute a large fraction of the black hole mass density in the +Universe, to avoid spoiling tight correlations between the black hole +and host galaxy properties and producing too large a present-day black +hole mass density in violation of the Soltan (1982) constraint. + +For example, if a molecular cloud passed through the center of our Galaxy near Sgr +A$^{\ast}$, it is possible that the Milky Way would resemble a Seyfert +for some period of time. Alternatively, it has long been recognized +that mass loss from normal stellar evolution of bulge stars or stellar +clusters near the centers of galaxies can provide a continuous supply +of fuel for low-level accretion \citep[e.g.,][]{MLC81,MB81,Shull83}. +Typical galactic stellar mass loss rates +($\dot{M}\sim1\,M_{\sun}\,{\rm yr^{-1}}\,(10^{11}\,M_{\sun})^{-1}$) +yield Bondi-Hoyle accretion rates $\sim10^{-5}-10^{-4}$ of Eddington +in relaxed, dynamically hot systems; and mass loss rates from O and +W-R stars ($\dot{M}\sim10^{-6}\,M_{\sun}\,{\rm +yr^{-1}}\,(10\,M_{\sun})^{-1}$) in young, dense star clusters near the +centers of galaxies with sufficient cold gas for continued star +formation can yield rates as high as $\sim10^{-2}$ of Eddington. + +Even though these fueling mechanisms do not involve mergers, the scenario +we have discussed might still be relevant to the origin of these black holes. Of +course, the black holes and spheroids in disk-dominated systems may +have produced in a manner that did not involve mergers. +Alternatively, most of the black hole mass in these objects (which is +small compared to that in spheroid-dominated galaxies) could have been +assembled long ago in mergers with bright quasar phases and then these +``dead'' quasars are resurrected sporadically by other fueling +mechanisms. + +Independent of how these black holes were formed, elements of our +modeling may still account for certain observed properties of Seyferts. The +observed Seyfert luminosity function appears to join smoothly onto the +quasar luminosity function \citep{Hao05}. It is not obvious that this +would be the case if the two types of objects are produced by entirely +distinct mechanisms. In addressing this, it is useful to +separate the process by which gas is delivered to the black hole from +the subsequent evolution that determines the observed activity. In +our picture, gas is delivered to the black hole by gravitational +torques during a merger, but other mechanisms, like bar-induced +fueling may be important for objects such as Seyferts. Regardless, +the induced activity may be generic, if black hole growth is +self-regulated in the way we describe it in our simulations. + +In Hopkins et al. (2005f) we show that the faint end slope of the +quasar luminosity function in our model is partly determined by the +time dependence of the ``blowout'' phase of black hole growth. We +derive an analytical model for this using a Sedov-Taylor type analysis +and show that the impact of this feedback depends on the mass of the +host. This analysis does not depend on the fueling mechanism, only on +the subsequent evolution. If this self-regulated growth applies to +Seyferts as well (for example if Seyfert growth is regulated by a +balance between accretion feedback and the spheroid potential, as +expected if these objects obey a similar $M_{\rm BH}-\sigma$ +relation), we would expect the Seyfert luminosity function to smoothly +join onto the quasar one, even if the fuel is delivered in a different +manner. + +\section{Conclusions} +\label{sec:finis} + +We have studied the evolution of quasars in simulations of galaxy +mergers spanning a wide region of parameter space. In agreement with +earlier work \citep{H05a}, we find that the lifetime of a particular +source depends on luminosity and increases at lower luminosities, and +that quasar obscuration is time-dependent. Our new, large set of +simulations shows that the lifetime and obscuration can be expressed +in terms of the instantaneous and peak luminosities of a quasar and +that these descriptions are robust, with no systematic dependence on +simulation parameters. We have combined these results with a +semi-empirical method to describe the cosmological distribution of +quasar properties, allowing us to predict a large number of +observables as a function of e.g.\ luminosity and redshift. This +approach also makes it possible to compare our picture to simpler +models for quasar lifetimes and obscuration. + +In the model we examine, quasars are triggered by mergers of gas-rich +galaxies, which produce inflows of gas through gravitational torquing, +fueling starbursts and rapid black hole growth. The large gas +densities obscure the central black hole at optical wavelengths until +feedback energy from the growth of the black hole ejects gas and +rapidly slows further accretion (``blowout''). Quasar lifetimes and +light curves are non-trivial, with strong accretion activity during +first passage of the merging galaxies and extended quiescent +(sub-Eddington) phases leading into and out of the phase of peak +quasar activity associated with the final merger. The ``blowout'' +phase in which the quasar is visible as a bright, near-Eddington +optical source has a lifetime related to the dynamical time in the +inner regions of the merging galaxies, which characterizes the +timescale over which obscuring gas and dust are expelled, but the +quasar spends a longer time at lower luminosities before and after +this stage. These evolutionary processes have important consequences +which cannot be captured in models of pure exponential or ``on/off'' +quasar growth. + +Our work emphasizes several goals for quasar and galaxy observations +and theory. Observationally, it is important to constrain the faint +end of the {\em peak} luminosity distribution; i.e.\ the low-mass +active black hole distribution. Unfortunately, our modeling of quasar +lifetimes implies that the faint-end quasar luminosity function is +dominated by quasars with peak luminosities around the break in the +luminosity function, and can provide only weak constraints on the +faint-end $\Lp$ distribution. However, there is still hope, as for +example broad-line quasar activity is more closely associated with +near-peak luminosities, and thus probing the faint-end of broad-line +luminosity functions may in particular improve the estimates. +Moreover, studies of the black hole mass distribution (or the +distribution of galaxy spheroids) as a function of redshift, extending +to small spheroid masses/velocity dispersions probes the faint end of +$\nLp$. Other techniques, such as studies of faint radio sources at +high redshift \citep{HQB04} can similarly constrain these populations. +Furthermore, the calculations in this paper can be combined to better +determine $\nLp$, as, given a model for the quasar lifetime and +obscuration, they all derive from this fundamental quantity. +Additional observational tests of the modeling we have presented will +provide an important means of constraining models for AGN accretion +and feedback; for example, the faint-end slope of the quasar lifetime +depends on how the ``blowout'' phase occurs and could provide a +sensitive probe of feedback models, enabling the adoption of more +realistic and sophisticated feedback prescriptions than we have thus +far employed. Of course, improved constraints on the luminosity +function at all luminosities at high redshift remains a valuable means +of testing theories of quasar evolution. + +Our simulations are based on isolated galaxy mergers, and thus do not +provide a cosmological prediction for the distribution of peak +luminosities $\nLp$, merger rates, or mass functions - we instead have +adopted a semi-empirical model, in which we use our modeling of quasar +evolution to determine these distributions from the observed +luminosity function. While this allows us to predict a large number +of observables and to demonstrate that a wide range of quasar and +galaxy properties are self-consistent in a model of merger-driven +quasar activity with realistic quasar lifetimes, future theoretical +work in these areas should predict the distribution of peak +luminosities $\nLp$ and its evolution with redshift. These quantities +are to be distinguished from the distribution of observed +luminosities, as the two are not trivially related in our model or any +other with a non-trivial quasar lifetime. + +Although the quasar birthrate as a function of peak luminosity will +be, in general, a complicated function of galaxy merger rates, gas +fractions, morphologies, and other factors, we have parameterized it +for comparison with the results of future cosmological simulations and +semi-analytical models. This distribution is particularly valuable as +a theoretical quantity because it is more directly related to physical +galaxy properties than even the complete (intrinsic) luminosity +function, and additionally because theoretical modeling which +successfully reproduces this $\nLp$ distribution is guaranteed to +reproduce the large number of observable quantities we have discussed +in detail in this work. We cannot determine the cosmological context +in our detailed simulations of the relatively small-scale physics of +galaxy mergers, and conversely, cosmological simulations and +semi-analytical models cannot resolve the detailed physics driving +quasar activity in mergers. However, our determination of quasar +evolution as a function of peak luminosity or final black hole mass +can be grafted onto these cosmological models to greatly increase the +effective dynamic range of such calculations. Combined with our +modeling, this would remove the one significant empirical element we +have adopted, and allow for a complete prediction of the above +quantities from a single theoretical framework. + +In these efforts, we emphasize that the mergers relevant to our +picture are of a specific type. First, the merging galaxies must +contain a supply of cold gas in a rotationally supported disk. Hot, +diffuse gas, as in the halos of elliptical galaxies, will not be +subject to the gravitational torques which drive gas into galaxy +centers and fuel black hole growth. Clearly, gas-poor mergers are also +not important for this process. Second, the mergers will likely +involve galaxies of comparable, although not necessarily equal, mass, +so that the gravitational torques excited are strong enough and +penetrate deep enough into galaxy centers to drive substantial inflows +of gas. The precise requirement for the mass ratio is somewhat +ill-defined because it also depends on the orbit geometry, but mergers +with a mass ratio larger than $10 : 1$ are probably not generally +important to our model. Simulations of minor mergers involving +galaxies with mass ratios $\lesssim 10:1$ (e.g.\ Hernquist 1989; Hernquist +\& Mihos 1995) have shown that for particular orbital geometries, +these events can produce starbursts similar to those in major mergers, +leaving behind disturbed remnants with dynamically heated disks (e.g.\ +Quinn et al.\ 1993; Mihos et al.\ 1995; Walker et al.\ 1996). It is +of interest to establish whether black hole growth can also be +triggered in minor mergers, as these events may be relevant to weak +AGN activity like that in some Seyfert galaxies or LINERs. + +In summary, the work presented here supports the conjecture that many +aspects of galaxy formation and evolution can be understood in terms +of the ``cosmic cycle'' in Figure~\ref{fig:cosmiccycle}. To be sure, +much of what is summarized in Figure~\ref{fig:cosmiccycle} has been +proposed elsewhere, either in the context of observations or +theoretical models. Our modeling of galaxy formation and evolution +emphasizes the possibility that supermassive black holes could be {\it +responsible} for much of what goes on in shaping galaxies, rather than +being bystanders, closing the loop in Figure~\ref{fig:cosmiccycle}. +In this sense, black holes may be the ``prime movers'' driving galaxy +evolution, as has been proposed earlier for extragalactic radio +sources (e.g.\ Begelman, Blandford \& Rees 1984; Rees 1984). It may +seem counterintuitive that compact objects with masses much smaller +than those of galaxies could have such an impact, but it is precisely +the concentrated nature of matter in black holes that makes this idea +plausible. + +Consider a black hole of mass $M_{\rm BH}$ at the center of a +spherical galaxy of mass $M_{\rm sph}$ with a characteristic velocity +dispersion $\sigma$. The energy available to affect the galaxy +through the growth of the black hole will be some small fraction of +its rest-mass, $E_{\rm feed} \sim \epsilon_f M_{\rm BH} c^2$. This +can be compared with the binding energy of the galaxy, $E_{\rm bind} +\sim M_{\rm sph} \sigma^2$. Observations indicate that $M_{\rm BH}$ +and $M_{\rm sph}$ are correlated and that, roughly $M_{\rm BH} \sim +(0.002 - 0.005) M_{\rm sph}$ (Magorrian et al.\ 1998; Marconi \& Hunt +2003). Therefore, the ratio of the feedback energy to the binding +energy of the galaxy is $E_{\rm feed} / E_{\rm sph} > 10 +\epsilon_{f,-2} \, \sigma_{300}^{-2}$, for an assumed efficiency of +1\%, $\epsilon_{f,-2} \equiv \epsilon /0.01$ and scaling the velocity +dispersion to $\sigma_{300} \equiv \sigma / 300$ km/sec, as for +relatively massive galaxies. This result demonstrates that the +supermassive black holes in the centers of spheroidal galaxies are by +far the largest supply of potential energy in these objects, exceeding +even the galaxy binding energy. When viewed in this way, if even a +small fraction of the black hole radiant energy can couple to the +surrounding ISM, then black hole growth is not an implausible +mechanism for regulating galaxy formation and evolution; in fact, it +appears almost inevitable that it should play this role. + +\acknowledgments We thank our referee, David Weinberg, for many +comments and suggestions that greatly improved this paper. We +thank Paul Martini, for +helpful discussion, and Gordon Richards and Alessandro Marconi, for +generously providing data for observational comparisons. This work +was supported in part by NSF grants ACI 96-19019, AST 00-71019, AST +02-06299, and AST 03-07690, and NASA ATP grants NAG5-12140, +NAG5-13292, and NAG5-13381. 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& 7.6\ \ 7.0 & 7.2\ \ 7.4 & 7.4\ \ 6.8 & 7.6\ \ 7.0 \\ +10.4 & 6.4 & 8.7 & 6.0 & 22.2 & 22.0 & 7.4\ \ 7.6 & 7.6\ \ 7.0 & 7.8\ \ 7.2 & 5.8\ \ 6.0 & 7.5\ \ 6.9 & 7.8\ \ 7.2 \\ +... & & & & & & & & & & & +\enddata +\tablenotetext{1}{Peak quasar bolometric luminosity, $\log_{10}(\Lp/L_{\sun})$} +\tablenotetext{2}{Final (post-merger) black hole mass, $\log_{10}(M_{\rm BH}^{f}/M_{\sun})$} +\tablenotetext{3}{Current (at time of ``observation'') intrinsic (no attenuation) +bolometric luminosity, $\log_{10}(L/L_{\sun})$} +\tablenotetext{4}{Current black hole mass, $\log_{10}(M_{\rm BH}/M_{\sun})$} +\tablenotetext{5}{Total (neutral+ionized) hydrogen +column density along the ``observed'' sightline, $\log_{10}(N_{\rm H}/{\rm cm}^{-2})$} +\tablenotetext{6}{Neutral hydrogen +column density along the ``observed'' sightline, $\log_{10}(N_{\rm H\, I}/{\rm cm}^{-2})$} +\tablenotetext{7}{Intrinsic (no attenuation) B-band luminosity, $\log_{10}(L_{B}^{\rm i}/L_{\sun})$, +where $L_{B}=\nu_{B}L_{\nu_{B}}$ at $\nu_{B}=4400$\AA.} +\tablenotetext{ \ }{Calculated with the luminosity-dependent +bolometric corrections from (Marconi et al.\ 2004; left), } +\tablenotetext{ \ }{and constant (luminosity-independent) $L=11.8\,L_{B}$ (Elvis et al.\ 1994; right).} +\tablenotetext{8}{Intrinsic soft X-ray (0.5-2 keV) luminosity, $\log_{10}(L_{SX}^{\rm i}/L_{\sun})$.} +\tablenotetext{ \ }{Calculated with the luminosity-dependent +bolometric corrections from (Marconi et al.\ 2004; left), } +\tablenotetext{ \ }{and constant (luminosity-independent) $L=52.5\,L_{SX}$ (Elvis et al.\ 1994; right).} +\tablenotetext{9}{Intrinsic hard X-ray (2-10 keV) luminosity, $\log_{10}(L_{HX}^{\rm i}/L_{\sun})$.} +\tablenotetext{ \ }{Calculated with the luminosity-dependent +bolometric corrections from (Marconi et al.\ 2004; left), } +\tablenotetext{ \ }{and constant (luminosity-independent) $L=35.0\,L_{HX}$ (Elvis et al.\ 1994; right).} +\tablenotetext{10}{``Observed'' (with attenuation) B-band luminosity, $\log_{10}(L_{B}^{\rm obs}/L_{\sun})$.} +\tablenotetext{ \ }{Left and right use luminosity-dependent and luminosity-independent bolometric corrections, respectively, as $L_{B}^{\rm i}$.} +\tablenotetext{11}{``Observed'' soft X-ray luminosity, $\log_{10}(L_{SX}^{\rm obs}/L_{\sun})$.} +\tablenotetext{ \ }{Left and right use luminosity-dependent and luminosity-independent bolometric corrections, respectively, as $L_{SX}^{\rm i}$.} +\tablenotetext{12}{``Observed'' hard X-ray luminosity, $\log_{10}(L_{HX}^{\rm obs}/L_{\sun})$.} +\tablenotetext{ \ }{Left and right use luminosity-dependent and luminosity-independent bolometric corrections, respectively, as $L_{HX}^{\rm i}$.} +\tablenotetext{ \ }{ \ } +\tablenotetext{ \ }{The complete tables +can be downloaded at \url{ftp://cfa-ftp.harvard.edu/pub/phopkins/qso\_catalogs/}} +\end{deluxetable} + +\end{document} + + diff --git a/feedback/papers/1701.07030.pdf b/feedback/papers/1701.07030.pdf new file mode 100644 index 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