This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/CVE-2023-32700 patched) (preloaded format=pdflatex 2023.6.19) 10 OCT 2023 20:32 entering extended mode restricted \write18 enabled. file:line:error style messages enabled. %&-line parsing enabled. **hw_m7.tex (./hw_m7.tex LaTeX2e <2022-06-01> patch level 5 L3 programming layer <2022-12-17> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo File: size12.clo 2021/10/04 v1.4n Standard LaTeX file (size option) ) \c@part=\count185 \c@section=\count186 \c@subsection=\count187 \c@subsubsection=\count188 \c@paragraph=\count189 \c@subparagraph=\count190 \c@figure=\count191 \c@table=\count192 \abovecaptionskip=\skip47 \belowcaptionskip=\skip48 \bibindent=\dimen140 ) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty Package: amsthm 2020/05/29 v2.20.6 \thm@style=\toks16 \thm@bodyfont=\toks17 \thm@headfont=\toks18 \thm@notefont=\toks19 \thm@headpunct=\toks20 \thm@preskip=\skip49 \thm@postskip=\skip50 \thm@headsep=\skip51 \dth@everypar=\toks21 ) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty Package: amssymb 2013/01/14 v3.01 AMS font symbols (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \@emptytoks=\toks22 \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. )) (/usr/share/texlive/texmf-dist/tex/latex/preprint/fullpage.sty Package: fullpage 1999/02/23 1.1 (PWD) \FP@margin=\skip52 ) (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def File: l3backend-pdftex.def 2022-10-26 L3 backend support: PDF output (pdfTeX) \l__color_backend_stack_int=\count193 \l__pdf_internal_box=\box51 ) (./hw_m7.aux) \openout1 = `hw_m7.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. 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(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) Overfull \hbox (17.59384pt too wide) in paragraph at lines 42--43 []\OT1/cmr/bx/n/12 A(5 points). \OT1/cmr/m/n/12 Ex-plain the op-ti-mal so-lu-tion struc-ture and write a re-cur-sion for $\OML/cmm/m/it/12 MinT\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 n; k\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 :$ [] [1 {/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pagd8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pagdo8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pagk8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pagko8z' already 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duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `ptmri8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pzcmi8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): ambiguous entry for `UniClass[letter]': font file present but not included, will be treated as font file not present pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): ambiguous entry for `rpcxbsl': font file present but not included, will be treated as font file not present pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): ambiguous entry for `rpcxsl': font file present but not included, will be treated as font file not present pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): ambiguous entry for `rpxbsl': font file present but not included, will be treated as font file not present pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): ambiguous entry for `rpxpplb': font file present but not included, will be treated as font file not present pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rpxpplb' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): ambiguous entry for `rpxpplbi': font file present but not included, will be treated as font file not present pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rpxpplbi' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): ambiguous entry for `rpxpplbo': font file present but not included, will be treated as font file not present pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rpxpplbo' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): ambiguous entry for `rpxpplr': font file present but not included, will be treated as font file not present pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rpxpplr' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): ambiguous entry for `rpxpplri': font file present but not included, will be treated as font file not present pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rpxpplri' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): ambiguous entry for `rpxpplro': font file present but not included, will be treated as font file not present pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rpxpplro' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): ambiguous entry for `rpxsl': font file present but not included, will be treated as font file not present }] [2] [3] (./hw_m7.aux) ) Here is how much of TeX's memory you used: 1141 strings out of 476182 17205 string characters out of 5796581 1857793 words of memory out of 6000000 21491 multiletter control sequences out of 15000+600000 518758 words of font info for 56 fonts, out of 8000000 for 9000 1137 hyphenation exceptions out of 8191 41i,7n,51p,989b,229s stack positions out of 10000i,1000n,20000p,200000b,200000s {/usr/share/texlive/texmf-dist/fonts/enc/dvips/cm-super/cm-super-ts1.enc} Output written on hw_m7.pdf (3 pages, 105295 bytes). PDF statistics: 55 PDF objects out of 1000 (max. 8388607) 33 compressed objects within 1 object stream 0 named destinations out of 1000 (max. 500000) 1 words of extra memory for PDF output out of 10000 (max. 10000000)