This is pdfTeX, Version 3.141592653-2.6-1.40.24 (MiKTeX 22.1) (preloaded format=pdflatex 2025.3.30) 11 JUN 2026 12:32 entering extended mode restricted \write18 enabled. %&-line parsing enabled. **./hw5.tex (hw5.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/amscls/ amsthm.sty Package: amsthm 2020/05/29 v2.20.6 \thm@style=\toks17 \thm@bodyfont=\toks18 \thm@headfont=\toks19 \thm@notefont=\toks20 \thm@headpunct=\toks21 \thm@preskip=\skip51 \thm@postskip=\skip52 \thm@headsep=\skip53 \dth@everypar=\toks22 ) (/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 \@emptytoks=\toks23 \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/preprin t/fullpage.sty Package: fullpage 1999/02/23 1.1 (PWD) \FP@margin=\skip54 ) (/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=\count270 \l__pdf_internal_box=\box52 ) No file hw5.aux. \openout1 = `hw5.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 4. LaTeX Font Info: ... okay on input line 4. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 4. LaTeX Font Info: ... okay on input line 4. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 4. LaTeX Font Info: ... okay on input line 4. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 4. LaTeX Font Info: ... okay on input line 4. LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 4. LaTeX Font Info: ... okay on input line 4. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 4. LaTeX Font Info: ... okay on input line 4. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 4. LaTeX Font Info: ... okay on input line 4. LaTeX Font Info: Trying to load font information for U+msa on input line 7. (/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 7. (/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}] (hw5.aux) *********** LaTeX2e <2024-11-01> patch level 2 L3 programming layer <2025-01-18> *********** ) Here is how much of TeX's memory you used: 1134 strings out of 475441 17613 string characters out of 5764059 398853 words of memory out of 5000000 24170 multiletter control sequences out of 15000+600000 564096 words of font info for 56 fonts, out of 8000000 for 9000 14 hyphenation exceptions out of 8191 41i,7n,51p,942b,222s stack positions out of 10000i,1000n,20000p,200000b,200000s Output written on hw5.pdf (1 page, 46979 bytes). PDF statistics: 21 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)