This is pdfTeX, Version 3.141592653-2.6-1.40.24 (MiKTeX 22.1) (preloaded format=pdflatex 2025.3.30) 8 JUL 2026 00:40 entering extended mode restricted \write18 enabled. %&-line parsing enabled. **./open_addressing_notes.tex (open_addressing_notes.tex LaTeX2e <2024-11-01> patch level 2 L3 programming layer <2025-01-18> (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/base/ar ticle.cls Document Class: article 2024/06/29 v1.4n Standard LaTeX document class (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/base/si ze12.clo File: size12.clo 2024/06/29 v1.4n Standard LaTeX file (size option) ) \c@part=\count196 \c@section=\count197 \c@subsection=\count198 \c@subsubsection=\count199 \c@paragraph=\count266 \c@subparagraph=\count267 \c@figure=\count268 \c@table=\count269 \abovecaptionskip=\skip49 \belowcaptionskip=\skip50 \bibindent=\dimen141 ) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/geometr y/geometry.sty Package: geometry 2020/01/02 v5.9 Page Geometry (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/graphic s/keyval.sty Package: keyval 2022/05/29 v1.15 key=value parser (DPC) \KV@toks@=\toks17 ) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/generic/iftex /ifvtex.sty Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. Use iftex instead. (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/generic/iftex /iftex.sty Package: iftex 2024/12/12 v1.0g TeX engine tests )) \Gm@cnth=\count270 \Gm@cntv=\count271 \c@Gm@tempcnt=\count272 \Gm@bindingoffset=\dimen142 \Gm@wd@mp=\dimen143 \Gm@odd@mp=\dimen144 \Gm@even@mp=\dimen145 \Gm@layoutwidth=\dimen146 \Gm@layoutheight=\dimen147 \Gm@layouthoffset=\dimen148 \Gm@layoutvoffset=\dimen149 \Gm@dimlist=\toks18 (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/geometr y/geometry.cfg)) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/amsmath /amsmath.sty Package: amsmath 2024/11/05 v2.17t AMS math features \@mathmargin=\skip51 For additional information on amsmath, use the `?' option. (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/amsmath /amstext.sty Package: amstext 2021/08/26 v2.01 AMS text (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/amsmath /amsgen.sty File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks19 \ex@=\dimen150 )) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/amsmath /amsbsy.sty Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen151 ) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/amsmath /amsopn.sty Package: amsopn 2022/04/08 v2.04 operator names ) \inf@bad=\count273 LaTeX Info: Redefining \frac on input line 233. \uproot@=\count274 \leftroot@=\count275 LaTeX Info: Redefining \overline on input line 398. LaTeX Info: Redefining \colon on input line 409. \classnum@=\count276 \DOTSCASE@=\count277 LaTeX Info: Redefining \ldots on input line 495. LaTeX Info: Redefining \dots on input line 498. LaTeX Info: Redefining \cdots on input line 619. \Mathstrutbox@=\box52 \strutbox@=\box53 LaTeX Info: Redefining \big on input line 721. LaTeX Info: Redefining \Big on input line 722. LaTeX Info: Redefining \bigg on input line 723. LaTeX Info: Redefining \Bigg on input line 724. \big@size=\dimen152 LaTeX Font Info: Redeclaring font encoding OML on input line 742. LaTeX Font Info: Redeclaring font encoding OMS on input line 743. \macc@depth=\count278 LaTeX Info: Redefining \bmod on input line 904. LaTeX Info: Redefining \pmod on input line 909. LaTeX Info: Redefining \smash on input line 939. LaTeX Info: Redefining \relbar on input line 969. LaTeX Info: Redefining \Relbar on input line 970. \c@MaxMatrixCols=\count279 \dotsspace@=\muskip17 \c@parentequation=\count280 \dspbrk@lvl=\count281 \tag@help=\toks20 \row@=\count282 \column@=\count283 \maxfields@=\count284 \andhelp@=\toks21 \eqnshift@=\dimen153 \alignsep@=\dimen154 \tagshift@=\dimen155 \tagwidth@=\dimen156 \totwidth@=\dimen157 \lineht@=\dimen158 \@envbody=\toks22 \multlinegap=\skip52 \multlinetaggap=\skip53 \mathdisplay@stack=\toks23 LaTeX Info: Redefining \[ on input line 2953. LaTeX Info: Redefining \] on input line 2954. ) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/amsfont s/amssymb.sty Package: amssymb 2013/01/14 v3.01 AMS font symbols (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/amsfont s/amsfonts.sty Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 LaTeX Font Info: Redeclaring math symbol \hbar on input line 98. LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 106. )) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/amscls/ amsthm.sty Package: amsthm 2020/05/29 v2.20.6 \thm@style=\toks24 \thm@bodyfont=\toks25 \thm@headfont=\toks26 \thm@notefont=\toks27 \thm@headpunct=\toks28 \thm@preskip=\skip54 \thm@postskip=\skip55 \thm@headsep=\skip56 \dth@everypar=\toks29 ) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/algorit hms/algorithm.sty Package: algorithm 2009/08/24 v0.1 Document Style `algorithm' - floating enviro nment (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/float/f loat.sty Package: float 2001/11/08 v1.3d Float enhancements (AL) \c@float@type=\count285 \float@exts=\toks30 \float@box=\box54 \@float@everytoks=\toks31 \@floatcapt=\box55 ) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/base/if then.sty Package: ifthen 2024/03/16 v1.1e Standard LaTeX ifthen package (DPC) ) \@float@every@algorithm=\toks32 \c@algorithm=\count286 ) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/algorit hmicx/algpseudocode.sty Package: algpseudocode (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/algorit hmicx/algorithmicx.sty Package: algorithmicx 2005/04/27 v1.2 Algorithmicx Document Style algorithmicx 1.2 - a greatly improved `algorithmic' style \c@ALG@line=\count287 \c@ALG@rem=\count288 \c@ALG@nested=\count289 \ALG@tlm=\skip57 \ALG@thistlm=\skip58 \c@ALG@Lnr=\count290 \c@ALG@blocknr=\count291 \c@ALG@storecount=\count292 \c@ALG@tmpcounter=\count293 \ALG@tmplength=\skip59 ) Document Style - pseudocode environments for use with the `algorithmicx' style ) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/booktab s/booktabs.sty Package: booktabs 2020/01/12 v1.61803398 Publication quality tables \heavyrulewidth=\dimen159 \lightrulewidth=\dimen160 \cmidrulewidth=\dimen161 \belowrulesep=\dimen162 \belowbottomsep=\dimen163 \aboverulesep=\dimen164 \abovetopsep=\dimen165 \cmidrulesep=\dimen166 \cmidrulekern=\dimen167 \defaultaddspace=\dimen168 \@cmidla=\count294 \@cmidlb=\count295 \@aboverulesep=\dimen169 \@belowrulesep=\dimen170 \@thisruleclass=\count296 \@lastruleclass=\count297 \@thisrulewidth=\dimen171 ) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/enumite m/enumitem.sty Package: enumitem 2025/02/06 v3.11 Customized lists \labelindent=\skip60 \enit@outerparindent=\dimen172 \enit@toks=\toks33 \enit@inbox=\box56 \enit@count@id=\count298 \enitdp@description=\count299 ) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/xcolor/ xcolor.sty Package: xcolor 2024/09/29 v3.02 LaTeX color extensions (UK) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/graphic s-cfg/color.cfg File: color.cfg 2016/01/02 v1.6 sample color configuration ) Package xcolor Info: Driver file: pdftex.def on input line 274. (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/graphic s-def/pdftex.def File: pdftex.def 2024/04/13 v1.2c Graphics/color driver for pdftex ) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/graphic s/mathcolor.ltx) Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1349. Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1353. Package xcolor Info: Model `RGB' extended on input line 1365. Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1367. Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1368. Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1369. Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1370. Package xcolor Info: Model `Gray' substituted by `gray' on input line 1371. Package xcolor Info: Model `wave' substituted by `hsb' on input line 1372. ) \c@theorem=\count300 \c@corollary=\count301 (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/l3backe nd/l3backend-pdftex.def File: l3backend-pdftex.def 2024-05-08 L3 backend support: PDF output (pdfTeX) \l__color_backend_stack_int=\count302 \l__pdf_internal_box=\box57 ) (open_addressing_notes.aux) \openout1 = `open_addressing_notes.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 23. LaTeX Font Info: ... okay on input line 23. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 23. LaTeX Font Info: ... okay on input line 23. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 23. LaTeX Font Info: ... okay on input line 23. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 23. LaTeX Font Info: ... okay on input line 23. LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 23. LaTeX Font Info: ... okay on input line 23. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 23. LaTeX Font Info: ... okay on input line 23. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 23. LaTeX Font Info: ... okay on input line 23. *geometry* driver: auto-detecting *geometry* detected driver: pdftex *geometry* verbose mode - [ preamble ] result: * driver: pdftex * paper: * layout: * layoutoffset:(h,v)=(0.0pt,0.0pt) * modes: * h-part:(L,W,R)=(46.97505pt, 520.3449pt, 46.97505pt) * v-part:(T,H,B)=(46.97505pt, 701.01988pt, 46.97505pt) * \paperwidth=614.295pt * \paperheight=794.96999pt * \textwidth=520.3449pt * \textheight=701.01988pt * \oddsidemargin=-25.29494pt * \evensidemargin=-25.29494pt * \topmargin=-62.29494pt * \headheight=12.0pt * \headsep=25.0pt * \topskip=12.0pt * \footskip=30.0pt * \marginparwidth=44.0pt * \marginparsep=10.0pt * \columnsep=10.0pt * \skip\footins=10.8pt plus 4.0pt minus 2.0pt * \hoffset=0.0pt * \voffset=0.0pt * \mag=1000 * \@twocolumnfalse * \@twosidefalse * \@mparswitchfalse * \@reversemarginfalse * (1in=72.27pt=25.4mm, 1cm=28.453pt) (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/context/base/ mkii/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count303 \scratchdimen=\dimen173 \scratchbox=\box58 \nofMPsegments=\count304 \nofMParguments=\count305 \everyMPshowfont=\toks34 \MPscratchCnt=\count306 \MPscratchDim=\dimen174 \MPnumerator=\count307 \makeMPintoPDFobject=\count308 \everyMPtoPDFconversion=\toks35 ) LaTeX Font Info: Trying to load font information for U+msa on input line 24. (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/amsfont s/umsa.fd File: umsa.fd 2013/01/14 v3.01 AMS symbols A ) LaTeX Font Info: Trying to load font information for U+msb on input line 24. (/Users/vip/Library/Application Support/MiKTeX/texmfs/install/tex/latex/amsfont s/umsb.fd File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) [1 {/Users/vip/Library/Application Support/MiKTeX/texmfs/data/fonts/map/pdftex/pdf tex.map}] [2] LaTeX Font Warning: Font shape `OT1/cmr/m/scit' undefined (Font) using `OT1/cmr/m/sc' instead on input line 122. [3] [4] LaTeX Font Warning: Font shape `OT1/cmr/m/scit' undefined (Font) using `OT1/cmr/m/sc' instead on input line 195. [5] Overfull \hbox (33.89622pt too wide) in paragraph at lines 266--267 []\OT1/cmr/bx/n/12 + \OT1/cmr/m/n/12 No point-ers: all data lives in the ta-ble ar-ray it-self. Bet-ter cache lo-cal-ity (probes are nearby/computed, [] [6] [7] (open_addressing_notes.aux) *********** LaTeX2e <2024-11-01> patch level 2 L3 programming layer <2025-01-18> *********** ) Here is how much of TeX's memory you used: 4499 strings out of 475441 68793 string characters out of 5764059 472675 words of memory out of 5000000 27449 multiletter control sequences out of 15000+600000 572501 words of font info for 86 fonts, out of 8000000 for 9000 14 hyphenation exceptions out of 8191 57i,8n,65p,393b,301s stack positions out of 10000i,1000n,20000p,200000b,200000s Output written on open_addressing_notes.pdf (7 pages, 180372 bytes). PDF statistics: 106 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 500000) 1 words of extra memory for PDF output out of 10000 (max. 10000000)