This is pdfTeX, Version 3.141592653-2.6-1.40.25 (TeX Live 2023) (preloaded format=pdflatex 2023.11.8) 19 NOV 2023 18:27 entering extended mode restricted \write18 enabled. file:line:error style messages enabled. %&-line parsing enabled. **HW10_Ques.tex (./HW10_Ques.tex LaTeX2e <2022-11-01> patch level 1 L3 programming layer <2023-02-22> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2022/07/02 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size11.clo File: size11.clo 2022/07/02 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=\skip48 \belowcaptionskip=\skip49 \bibindent=\dimen140 ) (/usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty Package: algpseudocode (/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty Package: ifthen 2022/04/13 v1.1d Standard LaTeX ifthen package (DPC) ) (/usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty Package: algorithmicx 2005/04/27 v1.2 Algorithmicx Document Style algorithmicx 1.2 - a greatly improved `algorithmic' style \c@ALG@line=\count193 \c@ALG@rem=\count194 \c@ALG@nested=\count195 \ALG@tlm=\skip50 \ALG@thistlm=\skip51 \c@ALG@Lnr=\count196 \c@ALG@blocknr=\count197 \c@ALG@storecount=\count198 \c@ALG@tmpcounter=\count199 \ALG@tmplength=\skip52 ) Document Style - pseudocode environments for use with the `algorithmicx' style ) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty Package: amsmath 2022/04/08 v2.17n AMS math features \@mathmargin=\skip53 For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty Package: amstext 2021/08/26 v2.01 AMS text (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks16 \ex@=\dimen141 )) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen142 ) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty Package: amsopn 2022/04/08 v2.04 operator names ) \inf@bad=\count266 LaTeX Info: Redefining \frac on input line 234. \uproot@=\count267 \leftroot@=\count268 LaTeX Info: Redefining \overline on input line 399. LaTeX Info: Redefining \colon on input line 410. \classnum@=\count269 \DOTSCASE@=\count270 LaTeX Info: Redefining \ldots on input line 496. LaTeX Info: Redefining \dots on input line 499. LaTeX Info: Redefining \cdots on input line 620. \Mathstrutbox@=\box51 \strutbox@=\box52 LaTeX Info: Redefining \big on input line 722. LaTeX Info: Redefining \Big on input line 723. LaTeX Info: Redefining \bigg on input line 724. LaTeX Info: Redefining \Bigg on input line 725. \big@size=\dimen143 LaTeX Font Info: Redeclaring font encoding OML on input line 743. LaTeX Font Info: Redeclaring font encoding OMS on input line 744. \macc@depth=\count271 LaTeX Info: Redefining \bmod on input line 905. LaTeX Info: Redefining \pmod on input line 910. LaTeX Info: Redefining \smash on input line 940. LaTeX Info: Redefining \relbar on input line 970. LaTeX Info: Redefining \Relbar on input line 971. \c@MaxMatrixCols=\count272 \dotsspace@=\muskip16 \c@parentequation=\count273 \dspbrk@lvl=\count274 \tag@help=\toks17 \row@=\count275 \column@=\count276 \maxfields@=\count277 \andhelp@=\toks18 \eqnshift@=\dimen144 \alignsep@=\dimen145 \tagshift@=\dimen146 \tagwidth@=\dimen147 \totwidth@=\dimen148 \lineht@=\dimen149 \@envbody=\toks19 \multlinegap=\skip54 \multlinetaggap=\skip55 \mathdisplay@stack=\toks20 LaTeX Info: Redefining \[ on input line 2953. LaTeX Info: Redefining \] on input line 2954. ) (/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 \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/amscls/amsthm.sty Package: amsthm 2020/05/29 v2.20.6 \thm@style=\toks21 \thm@bodyfont=\toks22 \thm@headfont=\toks23 \thm@notefont=\toks24 \thm@headpunct=\toks25 \thm@preskip=\skip56 \thm@postskip=\skip57 \thm@headsep=\skip58 \dth@everypar=\toks26 ) (/usr/share/texlive/texmf-dist/tex/latex/tools/enumerate.sty Package: enumerate 2015/07/23 v3.00 enumerate extensions (DPC) \@enLab=\toks27 ) (/usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty Package: enumitem 2019/06/20 v3.9 Customized lists \enitkv@toks@=\toks28 \labelindent=\skip59 \enit@outerparindent=\dimen150 \enit@toks=\toks29 \enit@inbox=\box53 \enit@count@id=\count278 \enitdp@description=\count279 ) (/usr/share/texlive/texmf-dist/tex/latex/framed/framed.sty Package: framed 2011/10/22 v 0.96: framed or shaded text with page breaks \OuterFrameSep=\skip60 \fb@frw=\dimen151 \fb@frh=\dimen152 \FrameRule=\dimen153 \FrameSep=\dimen154 ) (/usr/share/texlive/texmf-dist/tex/latex/tools/verbatim.sty Package: verbatim 2022-07-02 v1.5u LaTeX2e package for verbatim enhancements \every@verbatim=\toks30 \verbatim@line=\toks31 \verbatim@in@stream=\read2 ) (/usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty Package: geometry 2020/01/02 v5.9 Page Geometry (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty Package: keyval 2022/05/29 v1.15 key=value parser (DPC) \KV@toks@=\toks32 ) (/usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. Use iftex instead. (/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty Package: iftex 2022/02/03 v1.0f TeX engine tests )) \Gm@cnth=\count280 \Gm@cntv=\count281 \c@Gm@tempcnt=\count282 \Gm@bindingoffset=\dimen155 \Gm@wd@mp=\dimen156 \Gm@odd@mp=\dimen157 \Gm@even@mp=\dimen158 \Gm@layoutwidth=\dimen159 \Gm@layoutheight=\dimen160 \Gm@layouthoffset=\dimen161 \Gm@layoutvoffset=\dimen162 \Gm@dimlist=\toks33 ) (/usr/share/texlive/texmf-dist/tex/latex/microtype/microtype.sty Package: microtype 2023/03/13 v3.1a Micro-typographical refinements (RS) (/usr/share/texlive/texmf-dist/tex/latex/etoolbox/etoolbox.sty Package: etoolbox 2020/10/05 v2.5k e-TeX tools for LaTeX (JAW) \etb@tempcnta=\count283 ) \MT@toks=\toks34 \MT@tempbox=\box54 \MT@count=\count284 LaTeX Info: Redefining \noprotrusionifhmode on input line 1059. LaTeX Info: Redefining \leftprotrusion on input line 1060. \MT@prot@toks=\toks35 LaTeX Info: Redefining \rightprotrusion on input line 1078. LaTeX Info: Redefining \textls on input line 1368. \MT@outer@kern=\dimen163 LaTeX Info: Redefining \textmicrotypecontext on input line 1988. \MT@listname@count=\count285 (/usr/share/texlive/texmf-dist/tex/latex/microtype/microtype-pdftex.def File: microtype-pdftex.def 2023/03/13 v3.1a Definitions specific to pdftex (RS) LaTeX Info: Redefining \lsstyle on input line 902. LaTeX Info: Redefining \lslig on input line 902. \MT@outer@space=\skip61 ) Package microtype Info: Loading configuration file microtype.cfg. (/usr/share/texlive/texmf-dist/tex/latex/microtype/microtype.cfg File: microtype.cfg 2023/03/13 v3.1a microtype main configuration file (RS) )) (/usr/share/texlive/texmf-dist/tex/latex/kpfonts/kpfonts.sty Package: kpfonts 2023/01/18 v3.35 \c@mv@rm=\count286 \c@mv@boldrm=\count287 \c@mv@sf=\count288 \c@mv@boldsf=\count289 LaTeX Font Info: Redeclaring symbol font `operators' on input line 377. LaTeX Font Info: Overwriting symbol font `operators' in version `normal' (Font) OT1/cmr/m/n --> OT1/jkp/m/n on input line 377. LaTeX Font Info: Overwriting symbol font `operators' in version `bold' (Font) OT1/cmr/bx/n --> OT1/jkp/m/n on input line 377. LaTeX Font Info: Overwriting symbol font `operators' in version `rm' (Font) OT1/cmr/m/n --> OT1/jkp/m/n on input line 377. LaTeX Font Info: Overwriting symbol font `operators' in version `boldrm' (Font) OT1/cmr/m/n --> OT1/jkp/m/n on input line 377. LaTeX Font Info: Overwriting symbol font `operators' in version `sf' (Font) OT1/cmr/m/n --> OT1/jkp/m/n on input line 377. LaTeX Font Info: Overwriting symbol font `operators' in version `boldsf' (Font) OT1/cmr/m/n --> OT1/jkp/m/n on input line 377. LaTeX Font Info: Overwriting symbol font `operators' in version `bold' (Font) OT1/jkp/m/n --> OT1/jkp/b/n on input line 378. LaTeX Font Info: Overwriting symbol font `operators' in version `rm' (Font) OT1/jkp/m/n --> OT1/jkp/m/n on input line 380. LaTeX Font Info: Overwriting symbol font `operators' in version `boldrm' (Font) OT1/jkp/m/n --> OT1/jkp/b/n on input line 381. LaTeX Font Info: Overwriting symbol font `operators' in version `sf' (Font) OT1/jkp/m/n --> OT1/jkpss/m/n on input line 382. LaTeX Font Info: Overwriting symbol font `operators' in version `boldsf' (Font) OT1/jkp/m/n --> OT1/jkpss/b/n on input line 383. LaTeX Font Info: Redeclaring math alphabet \mathrm on input line 387. LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `bold' (Font) OT1/jkp/m/n --> OT1/jkp/b/n on input line 388. LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `rm' (Font) OT1/jkp/m/n --> OT1/jkp/m/n on input line 389. LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `boldrm' (Font) OT1/jkp/m/n --> OT1/jkp/b/n on input line 390. LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `sf' (Font) OT1/jkp/m/n --> OT1/jkp/m/n on input line 391. LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `boldsf' (Font) OT1/jkp/m/n --> OT1/jkp/b/n on input line 392. LaTeX Font Info: Redeclaring math alphabet \mathbf on input line 401. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `normal' (Font) OT1/cmr/bx/n --> OT1/jkp/b/n on input line 401. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold' (Font) OT1/cmr/bx/n --> OT1/jkp/b/n on input line 401. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `rm' (Font) OT1/cmr/bx/n --> OT1/jkp/b/n on input line 401. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `boldrm' (Font) OT1/cmr/bx/n --> OT1/jkp/b/n on input line 401. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `sf' (Font) OT1/cmr/bx/n --> OT1/jkp/b/n on input line 401. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `boldsf' (Font) OT1/cmr/bx/n --> OT1/jkp/b/n on input line 401. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold' (Font) OT1/jkp/b/n --> OT1/jkp/b/n on input line 402. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `rm' (Font) OT1/jkp/b/n --> OT1/jkp/b/n on input line 404. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `boldrm' (Font) OT1/jkp/b/n --> OT1/jkp/b/n on input line 405. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `sf' (Font) OT1/jkp/b/n --> OT1/jkpss/b/n on input line 406. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `boldsf' (Font) OT1/jkp/b/n --> OT1/jkpss/b/n on input line 407. LaTeX Font Info: Redeclaring math alphabet \mathit on input line 413. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `normal' (Font) OT1/cmr/m/it --> OT1/jkp/m/it on input line 413. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' (Font) OT1/cmr/bx/it --> OT1/jkp/m/it on input line 413. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `rm' (Font) OT1/cmr/m/it --> OT1/jkp/m/it on input line 413. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `boldrm' (Font) OT1/cmr/m/it --> OT1/jkp/m/it on input line 413. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `sf' (Font) OT1/cmr/m/it --> OT1/jkp/m/it on input line 413. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `boldsf' (Font) OT1/cmr/m/it --> OT1/jkp/m/it on input line 413. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' (Font) OT1/jkp/m/it --> OT1/jkp/b/it on input line 414. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `rm' (Font) OT1/jkp/m/it --> OT1/jkp/m/it on input line 416. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `boldrm' (Font) OT1/jkp/m/it --> OT1/jkp/b/it on input line 417. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `sf' (Font) OT1/jkp/m/it --> OT1/jkpss/m/it on input line 418. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `boldsf' (Font) OT1/jkp/m/it --> OT1/jkpss/b/it on input line 419. LaTeX Font Info: Redeclaring math alphabet \mathsf on input line 424. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `normal' (Font) OT1/cmss/m/n --> OT1/jkpss/m/n on input line 424. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' (Font) OT1/cmss/bx/n --> OT1/jkpss/m/n on input line 424. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `rm' (Font) OT1/cmss/m/n --> OT1/jkpss/m/n on input line 424. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `boldrm' (Font) OT1/cmss/m/n --> OT1/jkpss/m/n on input line 424. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `sf' (Font) OT1/cmss/m/n --> OT1/jkpss/m/n on input line 424. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `boldsf' (Font) OT1/cmss/m/n --> OT1/jkpss/m/n on input line 424. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' (Font) OT1/jkpss/m/n --> OT1/jkpss/b/n on input line 425. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `rm' (Font) OT1/jkpss/m/n --> OT1/jkpss/m/n on input line 426. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `boldrm' (Font) OT1/jkpss/m/n --> OT1/jkpss/b/n on input line 427. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `sf' (Font) OT1/jkpss/m/n --> OT1/jkpss/m/n on input line 428. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `boldsf' (Font) OT1/jkpss/m/n --> OT1/jkpss/b/n on input line 429. LaTeX Font Info: Redeclaring math alphabet \mathtt on input line 433. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `normal' (Font) OT1/cmtt/m/n --> OT1/jkptt/m/n on input line 433. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' (Font) OT1/cmtt/m/n --> OT1/jkptt/m/n on input line 433. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `rm' (Font) OT1/cmtt/m/n --> OT1/jkptt/m/n on input line 433. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `boldrm' (Font) OT1/cmtt/m/n --> OT1/jkptt/m/n on input line 433. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `sf' (Font) OT1/cmtt/m/n --> OT1/jkptt/m/n on input line 433. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `boldsf' (Font) OT1/cmtt/m/n --> OT1/jkptt/m/n on input line 433. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' (Font) OT1/jkptt/m/n --> OT1/jkptt/b/n on input line 434. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `rm' (Font) OT1/jkptt/m/n --> OT1/jkptt/m/n on input line 435. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `boldrm' (Font) OT1/jkptt/m/n --> OT1/jkptt/b/n on input line 436. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `sf' (Font) OT1/jkptt/m/n --> OT1/jkptt/m/n on input line 437. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `boldsf' (Font) OT1/jkptt/m/n --> OT1/jkptt/b/n on input line 438. LaTeX Font Info: Redeclaring symbol font `letters' on input line 446. LaTeX Font Info: Overwriting symbol font `letters' in version `normal' (Font) OML/cmm/m/it --> OML/jkp/m/it on input line 446. LaTeX Font Info: Overwriting symbol font `letters' in version `bold' (Font) OML/cmm/b/it --> OML/jkp/m/it on input line 446. LaTeX Font Info: Overwriting symbol font `letters' in version `rm' (Font) OML/cmm/m/it --> OML/jkp/m/it on input line 446. LaTeX Font Info: Overwriting symbol font `letters' in version `boldrm' (Font) OML/cmm/m/it --> OML/jkp/m/it on input line 446. LaTeX Font Info: Overwriting symbol font `letters' in version `sf' (Font) OML/cmm/m/it --> OML/jkp/m/it on input line 446. LaTeX Font Info: Overwriting symbol font `letters' in version `boldsf' (Font) OML/cmm/m/it --> OML/jkp/m/it on input line 446. LaTeX Font Info: Overwriting symbol font `letters' in version `bold' (Font) OML/jkp/m/it --> OML/jkp/bx/it on input line 447. LaTeX Font Info: Overwriting symbol font `letters' in version `rm' (Font) OML/jkp/m/it --> OML/jkp/m/it on input line 449. LaTeX Font Info: Overwriting symbol font `letters' in version `boldrm' (Font) OML/jkp/m/it --> OML/jkp/bx/it on input line 450. LaTeX Font Info: Overwriting symbol font `letters' in version `sf' (Font) OML/jkp/m/it --> OML/jkpss/m/it on input line 451. LaTeX Font Info: Overwriting symbol font `letters' in version `boldsf' (Font) OML/jkp/m/it --> OML/jkpss/bx/it on input line 452. \symlettersA=\mathgroup6 LaTeX Font Info: Overwriting symbol font `lettersA' in version `bold' (Font) U/jkpmia/m/it --> U/jkpmia/bx/it on input line 462. LaTeX Font Info: Overwriting symbol font `lettersA' in version `rm' (Font) U/jkpmia/m/it --> U/jkpmia/m/it on input line 464. LaTeX Font Info: Overwriting symbol font `lettersA' in version `boldrm' (Font) U/jkpmia/m/it --> U/jkpmia/bx/it on input line 465. LaTeX Font Info: Overwriting symbol font `lettersA' in version `sf' (Font) U/jkpmia/m/it --> U/jkpssmia/m/it on input line 466. LaTeX Font Info: Overwriting symbol font `lettersA' in version `boldsf' (Font) U/jkpmia/m/it --> U/jkpssmia/bx/it on input line 467. LaTeX Font Info: Redeclaring math alphabet \mathfrak on input line 470. LaTeX Font Info: Redeclaring symbol font `symbols' on input line 479. LaTeX Font Info: Overwriting symbol font `symbols' in version `normal' (Font) OMS/cmsy/m/n --> OMS/jkp/m/n on input line 479. LaTeX Font Info: Overwriting symbol font `symbols' in version `bold' (Font) OMS/cmsy/b/n --> OMS/jkp/m/n on input line 479. LaTeX Font Info: Overwriting symbol font `symbols' in version `rm' (Font) OMS/cmsy/m/n --> OMS/jkp/m/n on input line 479. LaTeX Font Info: Overwriting symbol font `symbols' in version `boldrm' (Font) OMS/cmsy/m/n --> OMS/jkp/m/n on input line 479. LaTeX Font Info: Overwriting symbol font `symbols' in version `sf' (Font) OMS/cmsy/m/n --> OMS/jkp/m/n on input line 479. LaTeX Font Info: Overwriting symbol font `symbols' in version `boldsf' (Font) OMS/cmsy/m/n --> OMS/jkp/m/n on input line 479. LaTeX Font Info: Overwriting symbol font `symbols' in version `bold' (Font) OMS/jkp/m/n --> OMS/jkp/bx/n on input line 480. LaTeX Font Info: Overwriting symbol font `symbols' in version `rm' (Font) OMS/jkp/m/n --> OMS/jkp/m/n on input line 482. LaTeX Font Info: Overwriting symbol font `symbols' in version `boldrm' (Font) OMS/jkp/m/n --> OMS/jkp/bx/n on input line 483. LaTeX Font Info: Overwriting symbol font `symbols' in version `sf' (Font) OMS/jkp/m/n --> OMS/jkp/m/n on input line 484. LaTeX Font Info: Overwriting symbol font `symbols' in version `boldsf' (Font) OMS/jkp/m/n --> OMS/jkp/bx/n on input line 485. LaTeX Font Info: Redeclaring symbol font `AMSa' on input line 498. LaTeX Font Info: Overwriting symbol font `AMSa' in version `normal' (Font) U/msa/m/n --> U/jkpsya/m/n on input line 498. LaTeX Font Info: Overwriting symbol font `AMSa' in version `bold' (Font) U/msa/m/n --> U/jkpsya/m/n on input line 498. LaTeX Font Info: Overwriting symbol font `AMSa' in version `rm' (Font) U/msa/m/n --> U/jkpsya/m/n on input line 498. LaTeX Font Info: Overwriting symbol font `AMSa' in version `boldrm' (Font) U/msa/m/n --> U/jkpsya/m/n on input line 498. LaTeX Font Info: Overwriting symbol font `AMSa' in version `sf' (Font) U/msa/m/n --> U/jkpsya/m/n on input line 498. LaTeX Font Info: Overwriting symbol font `AMSa' in version `boldsf' (Font) U/msa/m/n --> U/jkpsya/m/n on input line 498. LaTeX Font Info: Overwriting symbol font `AMSa' in version `bold' (Font) U/jkpsya/m/n --> U/jkpsya/bx/n on input line 499. LaTeX Font Info: Overwriting symbol font `AMSa' in version `rm' (Font) U/jkpsya/m/n --> U/jkpsya/m/n on input line 500. LaTeX Font Info: Overwriting symbol font `AMSa' in version `boldrm' (Font) U/jkpsya/m/n --> U/jkpsya/bx/n on input line 501. LaTeX Font Info: Overwriting symbol font `AMSa' in version `sf' (Font) U/jkpsya/m/n --> U/jkpsya/m/n on input line 502. LaTeX Font Info: Overwriting symbol font `AMSa' in version `boldsf' (Font) U/jkpsya/m/n --> U/jkpsya/bx/n on input line 503. LaTeX Font Info: Redeclaring symbol font `AMSb' on input line 551. LaTeX Font Info: Overwriting symbol font `AMSb' in version `normal' (Font) U/msb/m/n --> U/jkpsyb/m/n on input line 551. LaTeX Font Info: Overwriting symbol font `AMSb' in version `bold' (Font) U/msb/m/n --> U/jkpsyb/m/n on input line 551. LaTeX Font Info: Overwriting symbol font `AMSb' in version `rm' (Font) U/msb/m/n --> U/jkpsyb/m/n on input line 551. LaTeX Font Info: Overwriting symbol font `AMSb' in version `boldrm' (Font) U/msb/m/n --> U/jkpsyb/m/n on input line 551. LaTeX Font Info: Overwriting symbol font `AMSb' in version `sf' (Font) U/msb/m/n --> U/jkpsyb/m/n on input line 551. LaTeX Font Info: Overwriting symbol font `AMSb' in version `boldsf' (Font) U/msb/m/n --> U/jkpsyb/m/n on input line 551. LaTeX Font Info: Overwriting symbol font `AMSb' in version `bold' (Font) U/jkpsyb/m/n --> U/jkpsyb/bx/n on input line 552. LaTeX Font Info: Overwriting symbol font `AMSb' in version `rm' (Font) U/jkpsyb/m/n --> U/jkpsyb/m/n on input line 553. LaTeX Font Info: Overwriting symbol font `AMSb' in version `boldrm' (Font) U/jkpsyb/m/n --> U/jkpsyb/bx/n on input line 554. LaTeX Font Info: Overwriting symbol font `AMSb' in version `sf' (Font) U/jkpsyb/m/n --> U/jkpsssyb/m/n on input line 555. LaTeX Font Info: Overwriting symbol font `AMSb' in version `boldsf' (Font) U/jkpsyb/m/n --> U/jkpsssyb/bx/n on input line 556. \symsymbolsC=\mathgroup7 LaTeX Font Info: Overwriting symbol font `symbolsC' in version `bold' (Font) U/jkpsyc/m/n --> U/jkpsyc/bx/n on input line 572. LaTeX Font Info: Overwriting symbol font `symbolsC' in version `rm' (Font) U/jkpsyc/m/n --> U/jkpsyc/m/n on input line 574. LaTeX Font Info: Overwriting symbol font `symbolsC' in version `boldrm' (Font) U/jkpsyc/m/n --> U/jkpsyc/bx/n on input line 575. LaTeX Font Info: Overwriting symbol font `symbolsC' in version `sf' (Font) U/jkpsyc/m/n --> U/jkpsyc/m/n on input line 576. LaTeX Font Info: Overwriting symbol font `symbolsC' in version `boldsf' (Font) U/jkpsyc/m/n --> U/jkpsyc/bx/n on input line 577. LaTeX Font Info: Overwriting math alphabet `\mathscr' in version `bold' (Font) U/jkpsyd/m/n --> U/jkpsyd/bx/n on input line 606. LaTeX Font Info: Overwriting math alphabet `\mathscr' in version `rm' (Font) U/jkpsyd/m/n --> U/jkpsyd/m/n on input line 608. LaTeX Font Info: Overwriting math alphabet `\mathscr' in version `boldrm' (Font) U/jkpsyd/m/n --> U/jkpsyd/bx/n on input line 609. LaTeX Font Info: Overwriting math alphabet `\mathscr' in version `sf' (Font) U/jkpsyd/m/n --> U/jkpsyd/m/n on input line 610. LaTeX Font Info: Overwriting math alphabet `\mathscr' in version `boldsf' (Font) U/jkpsyd/m/n --> U/jkpsyd/bx/n on input line 611. LaTeX Font Info: Redeclaring symbol font `largesymbols' on input line 621. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `normal' (Font) OMX/cmex/m/n --> OMX/jkp/m/n on input line 621. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `bold' (Font) OMX/cmex/m/n --> OMX/jkp/m/n on input line 621. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `rm' (Font) OMX/cmex/m/n --> OMX/jkp/m/n on input line 621. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `boldrm' (Font) OMX/cmex/m/n --> OMX/jkp/m/n on input line 621. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `sf' (Font) OMX/cmex/m/n --> OMX/jkp/m/n on input line 621. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `boldsf' (Font) OMX/cmex/m/n --> OMX/jkp/m/n on input line 621. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `bold' (Font) OMX/jkp/m/n --> OMX/jkp/bx/n on input line 622. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `rm' (Font) OMX/jkp/m/n --> OMX/jkp/m/n on input line 624. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `boldrm' (Font) OMX/jkp/m/n --> OMX/jkp/bx/n on input line 625. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `sf' (Font) OMX/jkp/m/n --> OMX/jkpss/m/n on input line 626. LaTeX Font Info: Overwriting symbol font `largesymbols' in version `boldsf' (Font) OMX/jkp/m/n --> OMX/jkpss/bx/n on input line 627. \symlargesymbolsA=\mathgroup8 LaTeX Font Info: Overwriting symbol font `largesymbolsA' in version `bold' (Font) U/jkpexa/m/n --> U/jkpexa/bx/n on input line 638. LaTeX Font Info: Overwriting symbol font `largesymbolsA' in version `rm' (Font) U/jkpexa/m/n --> U/jkpexa/m/n on input line 640. LaTeX Font Info: Overwriting symbol font `largesymbolsA' in version `boldrm' (Font) U/jkpexa/m/n --> U/jkpexa/bx/n on input line 641. LaTeX Font Info: Overwriting symbol font `largesymbolsA' in version `sf' (Font) U/jkpexa/m/n --> U/jkpexa/m/n on input line 642. LaTeX Font Info: Overwriting symbol font `largesymbolsA' in version `boldsf' (Font) U/jkpexa/m/n --> U/jkpexa/bx/n on input line 643. LaTeX Info: Redefining \not on input line 1603. ) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty Package: graphicx 2021/09/16 v1.2d Enhanced LaTeX Graphics (DPC,SPQR) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty Package: graphics 2022/03/10 v1.4e Standard LaTeX Graphics (DPC,SPQR) (/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty Package: trig 2021/08/11 v1.11 sin cos tan (DPC) ) (/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration ) Package graphics Info: Driver file: pdftex.def on input line 107. (/usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def File: pdftex.def 2022/09/22 v1.2b Graphics/color driver for pdftex )) \Gin@req@height=\dimen164 \Gin@req@width=\dimen165 ) (/usr/share/texlive/texmf-dist/tex/latex/psnfss/palatino.sty Package: palatino 2020/03/25 PSNFSS-v9.3 (SPQR) ) LaTeX Font Info: Redeclaring math alphabet \mathtt on input line 22. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `normal' (Font) OT1/jkptt/m/n --> OT1/cmtt/m/n on input line 22. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' (Font) OT1/jkptt/b/n --> OT1/cmtt/m/n on input line 22. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `rm' (Font) OT1/jkptt/m/n --> OT1/cmtt/m/n on input line 22. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `boldrm' (Font) OT1/jkptt/b/n --> OT1/cmtt/m/n on input line 22. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `sf' (Font) OT1/jkptt/m/n --> OT1/cmtt/m/n on input line 22. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `boldsf' (Font) OT1/jkptt/b/n --> OT1/cmtt/m/n on input line 22. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' (Font) OT1/cmtt/m/n --> OT1/cmtt/bx/n on input line 23. LaTeX Font Info: Redeclaring math alphabet \mathsf on input line 24. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `normal' (Font) OT1/jkpss/m/n --> OT1/cmss/m/n on input line 24. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' (Font) OT1/jkpss/b/n --> OT1/cmss/m/n on input line 24. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `rm' (Font) OT1/jkpss/m/n --> OT1/cmss/m/n on input line 24. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `boldrm' (Font) OT1/jkpss/b/n --> OT1/cmss/m/n on input line 24. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `sf' (Font) OT1/jkpss/m/n --> OT1/cmss/m/n on input line 24. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `boldsf' (Font) OT1/jkpss/b/n --> OT1/cmss/m/n on input line 24. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' (Font) OT1/cmss/m/n --> OT1/cmss/bx/n on input line 25. (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty Package: xcolor 2022/06/12 v2.14 LaTeX color extensions (UK) (/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg File: color.cfg 2016/01/02 v1.6 sample color configuration ) Package xcolor Info: Package option `usenames' ignored on input line 218. Package xcolor Info: Driver file: pdftex.def on input line 227. (/usr/share/texlive/texmf-dist/tex/latex/graphics/mathcolor.ltx) Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1353. Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1357. Package xcolor Info: Model `RGB' extended on input line 1369. Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1371. Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1372. Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1373. Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1374. Package xcolor Info: Model `Gray' substituted by `gray' on input line 1375. Package xcolor Info: Model `wave' substituted by `hsb' on input line 1376. (/usr/share/texlive/texmf-dist/tex/latex/graphics/dvipsnam.def File: dvipsnam.def 2016/06/17 v3.0m Driver-dependent file (DPC,SPQR) )) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty Package: hyperref 2023-02-07 v7.00v Hypertext links for LaTeX (/usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty Package: ltxcmds 2020-05-10 v1.25 LaTeX kernel commands for general use (HO) ) (/usr/share/texlive/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty Package: pdftexcmds 2020-06-27 v0.33 Utility functions of pdfTeX for LuaTeX (HO) (/usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty Package: infwarerr 2019/12/03 v1.5 Providing info/warning/error messages (HO) ) Package pdftexcmds Info: \pdf@primitive is available. Package pdftexcmds Info: \pdf@ifprimitive is available. Package pdftexcmds Info: \pdfdraftmode found. ) (/usr/share/texlive/texmf-dist/tex/latex/kvsetkeys/kvsetkeys.sty Package: kvsetkeys 2022-10-05 v1.19 Key value parser (HO) ) (/usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO) ) (/usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty Package: pdfescape 2019/12/09 v1.15 Implements pdfTeX's escape features (HO) ) (/usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty Package: hycolor 2020-01-27 v1.10 Color options for hyperref/bookmark (HO) ) (/usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty Package: letltxmacro 2019/12/03 v1.6 Let assignment for LaTeX macros (HO) ) (/usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty Package: auxhook 2019-12-17 v1.6 Hooks for auxiliary files (HO) ) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty Package: nameref 2022-05-17 v2.50 Cross-referencing by name of section (/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty Package: refcount 2019/12/15 v3.6 Data extraction from label references (HO) ) (/usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty Package: gettitlestring 2019/12/15 v1.6 Cleanup title references (HO) (/usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty Package: kvoptions 2022-06-15 v3.15 Key value format for package options (HO) )) \c@section@level=\count290 ) \@linkdim=\dimen166 \Hy@linkcounter=\count291 \Hy@pagecounter=\count292 (/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def File: pd1enc.def 2023-02-07 v7.00v Hyperref: PDFDocEncoding definition (HO) Now handling font encoding PD1 ... ... no UTF-8 mapping file for font encoding PD1 ) (/usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty Package: intcalc 2019/12/15 v1.3 Expandable calculations with integers (HO) ) (/usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty Package: etexcmds 2019/12/15 v1.7 Avoid name clashes with e-TeX commands (HO) ) \Hy@SavedSpaceFactor=\count293 (/usr/share/texlive/texmf-dist/tex/latex/hyperref/puenc.def File: puenc.def 2023-02-07 v7.00v Hyperref: PDF Unicode definition (HO) Now handling font encoding PU ... ... no UTF-8 mapping file for font encoding PU ) Package hyperref Info: Hyper figures OFF on input line 4177. Package hyperref Info: Link nesting OFF on input line 4182. Package hyperref Info: Hyper index ON on input line 4185. Package hyperref Info: Plain pages OFF on input line 4192. Package hyperref Info: Backreferencing OFF on input line 4197. Package hyperref Info: Implicit mode ON; LaTeX internals redefined. Package hyperref Info: Bookmarks ON on input line 4425. \c@Hy@tempcnt=\count294 (/usr/share/texlive/texmf-dist/tex/latex/url/url.sty \Urlmuskip=\muskip17 Package: url 2013/09/16 ver 3.4 Verb mode for urls, etc. ) LaTeX Info: Redefining \url on input line 4763. \XeTeXLinkMargin=\dimen167 (/usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty Package: bitset 2019/12/09 v1.3 Handle bit-vector datatype (HO) (/usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty Package: bigintcalc 2019/12/15 v1.5 Expandable calculations on big integers (HO) )) \Fld@menulength=\count295 \Field@Width=\dimen168 \Fld@charsize=\dimen169 Package hyperref Info: Hyper figures OFF on input line 6042. Package hyperref Info: Link nesting OFF on input line 6047. Package hyperref Info: Hyper index ON on input line 6050. Package hyperref Info: backreferencing OFF on input line 6057. Package hyperref Info: Link coloring OFF on input line 6062. Package hyperref Info: Link coloring with OCG OFF on input line 6067. Package hyperref Info: PDF/A mode OFF on input line 6072. (/usr/share/texlive/texmf-dist/tex/latex/base/atbegshi-ltx.sty Package: atbegshi-ltx 2021/01/10 v1.0c Emulation of the original atbegshi package with kernel methods ) \Hy@abspage=\count296 \c@Item=\count297 \c@Hfootnote=\count298 ) Package hyperref Info: Driver: hpdftex. (/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def File: hpdftex.def 2023-02-07 v7.00v Hyperref driver for pdfTeX (/usr/share/texlive/texmf-dist/tex/latex/base/atveryend-ltx.sty Package: atveryend-ltx 2020/08/19 v1.0a Emulation of the original atveryend package with kernel methods ) \Fld@listcount=\count299 \c@bookmark@seq@number=\count300 (/usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty Package: rerunfilecheck 2022-07-10 v1.10 Rerun checks for auxiliary files (HO) (/usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty Package: uniquecounter 2019/12/15 v1.4 Provide unlimited unique counter (HO) ) Package uniquecounter Info: New unique counter `rerunfilecheck' on input line 285. ) \Hy@SectionHShift=\skip62 ) Package hyperref Info: Option `linktocpage' set `true' on input line 41. Package hyperref Info: Option `colorlinks' set `true' on input line 41. (/usr/share/texlive/texmf-dist/tex/latex/algorithm2e/algorithm2e.sty Package: algorithm2e 2017/07/18 v5.2 algorithms environments \c@AlgoLine=\count301 \algocf@hangindent=\skip63 (/usr/share/texlive/texmf-dist/tex/latex/ifoddpage/ifoddpage.sty Package: ifoddpage 2022/10/18 v1.2 Conditionals for odd/even page detection \c@checkoddpage=\count302 ) (/usr/share/texlive/texmf-dist/tex/latex/tools/xspace.sty Package: xspace 2014/10/28 v1.13 Space after command names (DPC,MH) ) (/usr/share/texlive/texmf-dist/tex/latex/relsize/relsize.sty Package: relsize 2013/03/29 ver 4.1 ) \skiptotal=\skip64 \skiplinenumber=\skip65 \skiprule=\skip66 \skiphlne=\skip67 \skiptext=\skip68 \skiplength=\skip69 \algomargin=\skip70 \skipalgocfslide=\skip71 \algowidth=\dimen170 \inoutsize=\dimen171 \inoutindent=\dimen172 \interspacetitleruled=\dimen173 \interspacealgoruled=\dimen174 \interspacetitleboxruled=\dimen175 \algocf@ruledwidth=\skip72 \algocf@inoutbox=\box55 \algocf@inputbox=\box56 \AlCapSkip=\skip73 \AlCapHSkip=\skip74 \algoskipindent=\skip75 \algocf@nlbox=\box57 \algocf@hangingbox=\box58 \algocf@untilbox=\box59 \algocf@skipuntil=\skip76 \algocf@capbox=\box60 \algocf@lcaptionbox=\skip77 \algoheightruledefault=\skip78 \algoheightrule=\skip79 \algotitleheightruledefault=\skip80 \algotitleheightrule=\skip81 \c@algocfline=\count303 \c@algocfproc=\count304 \c@algocf=\count305 \algocf@algoframe=\box61 \algocf@algobox=\box62 ) \c@thm=\count306 \c@prob=\count307 \c@sol=\count308 LaTeX Font Info: Trying to load font information for OT1+ppl on input line 127. (/usr/share/texlive/texmf-dist/tex/latex/psnfss/ot1ppl.fd File: ot1ppl.fd 2001/06/04 font definitions for OT1/ppl. ) (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def File: l3backend-pdftex.def 2023-01-16 L3 backend support: PDF output (pdfTeX) \l__color_backend_stack_int=\count309 \l__pdf_internal_box=\box63 ) (./HW10_Ques.aux) \openout1 = `HW10_Ques.aux'. LaTeX Font Info: Checking defaults for OML/jkp/m/it on input line 127. LaTeX Font Info: Trying to load font information for OML+jkp on input line 127. (/usr/share/texlive/texmf-dist/tex/latex/kpfonts/omljkp.fd File: omljkp.fd 2006/08/15 v1.0 ) LaTeX Font Info: ... okay on input line 127. LaTeX Font Info: Checking defaults for OMS/jkp/m/n on input line 127. LaTeX Font Info: Trying to load font information for OMS+jkp on input line 127. (/usr/share/texlive/texmf-dist/tex/latex/kpfonts/omsjkp.fd File: omsjkp.fd 2006/08/15 v1.0 ) LaTeX Font Info: ... okay on input line 127. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 127. LaTeX Font Info: ... okay on input line 127. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 127. LaTeX Font Info: ... okay on input line 127. LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 127. LaTeX Font Info: ... okay on input line 127. LaTeX Font Info: Checking defaults for OMX/jkp/m/n on input line 127. LaTeX Font Info: Trying to load font information for OMX+jkp on input line 127. (/usr/share/texlive/texmf-dist/tex/latex/kpfonts/omxjkp.fd File: omxjkp.fd 2006/08/15 v1.0 ) LaTeX Font Info: ... okay on input line 127. LaTeX Font Info: Checking defaults for U/jkpexa/m/n on input line 127. LaTeX Font Info: Trying to load font information for U+jkpexa on input line 127. (/usr/share/texlive/texmf-dist/tex/latex/kpfonts/ujkpexa.fd File: ujkpexa.fd 2006/08/15 v1.0 ) LaTeX Font Info: ... okay on input line 127. LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 127. LaTeX Font Info: ... okay on input line 127. LaTeX Font Info: Checking defaults for PU/pdf/m/n on input line 127. LaTeX Font Info: ... okay on input line 127. *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)=(72.26999pt, 469.75502pt, 72.26999pt) * v-part:(T,H,B)=(72.26999pt, 650.43001pt, 72.26999pt) * \paperwidth=614.295pt * \paperheight=794.96999pt * \textwidth=469.75502pt * \textheight=650.43001pt * \oddsidemargin=0.0pt * \evensidemargin=0.0pt * \topmargin=-37.0pt * \headheight=12.0pt * \headsep=25.0pt * \topskip=11.0pt * \footskip=30.0pt * \marginparwidth=59.0pt * \marginparsep=10.0pt * \columnsep=10.0pt * \skip\footins=10.0pt 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) LaTeX Info: Redefining \microtypecontext on input line 127. Package microtype Info: Applying patch `item' on input line 127. Package microtype Info: Applying patch `toc' on input line 127. Package microtype Info: Applying patch `eqnum' on input line 127. Package microtype Info: Applying patch `footnote' on input line 127. Package microtype Info: Applying patch `verbatim' on input line 127. Package microtype Info: Generating PDF output. Package microtype Info: Character protrusion enabled (level 2). Package microtype Info: Using default protrusion set `alltext'. Package microtype Info: Automatic font expansion enabled (level 2), (microtype) stretch: 20, shrink: 20, step: 1, non-selected. Package microtype Info: Using default expansion set `alltext-nott'. LaTeX Info: Redefining \showhyphens on input line 127. Package microtype Info: No adjustment of tracking. Package microtype Info: No adjustment of interword spacing. Package microtype Info: No adjustment of character kerning. (/usr/share/texlive/texmf-dist/tex/latex/microtype/mt-ppl.cfg File: mt-ppl.cfg 2005/11/16 v1.6 microtype config. file: Palatino (RS) ) (/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count310 \scratchdimen=\dimen176 \scratchbox=\box64 \nofMPsegments=\count311 \nofMParguments=\count312 \everyMPshowfont=\toks36 \MPscratchCnt=\count313 \MPscratchDim=\dimen177 \MPnumerator=\count314 \makeMPintoPDFobject=\count315 \everyMPtoPDFconversion=\toks37 ) (/usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 485. (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Live )) Package hyperref Info: Link coloring ON on input line 127. (./HW10_Ques.out) (./HW10_Ques.out) \@outlinefile=\write3 \openout3 = `HW10_Ques.out'. LaTeX Font Info: Trying to load font information for TS1+ppl on input line 147. (/usr/share/texlive/texmf-dist/tex/latex/psnfss/ts1ppl.fd File: ts1ppl.fd 2001/06/04 font definitions for TS1/ppl. ) LaTeX Font Info: Trying to load font information for OT1+jkp on input line 147. (/usr/share/texlive/texmf-dist/tex/latex/kpfonts/ot1jkp.fd File: ot1jkp.fd 2007/08/30 Fontinst v1.928 font definitions for OT1/jkp. ) Package microtype Info: Loading generic protrusion settings for font family (microtype) `jkp' (encoding: OT1). (microtype) For optimal results, create family-specific settings. (microtype) See the microtype manual for details. LaTeX Font Info: Trying to load font information for U+jkpsya on input line 147. (/usr/share/texlive/texmf-dist/tex/latex/kpfonts/ujkpsya.fd File: ujkpsya.fd 2006/08/15 v1.0 ) LaTeX Font Info: Trying to load font information for U+jkpsyb on input line 147. (/usr/share/texlive/texmf-dist/tex/latex/kpfonts/ujkpsyb.fd File: ujkpsyb.fd 2006/08/15 v1.0 ) LaTeX Font Info: Trying to load font information for U+jkpmia on input line 147. (/usr/share/texlive/texmf-dist/tex/latex/kpfonts/ujkpmia.fd File: ujkpmia.fd 2006/08/15 v1.0 ) LaTeX Font Info: Trying to load font information for U+jkpsyc on input line 147. (/usr/share/texlive/texmf-dist/tex/latex/kpfonts/ujkpsyc.fd File: ujkpsyc.fd 2006/08/15 v1.0 ) Package microtype Info: Loading generic protrusion settings for font family (microtype) `cmtt' (encoding: OT1). (microtype) For optimal results, create family-specific settings. (microtype) See the microtype manual for details. [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 exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pbkd8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pbkdi8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pbkl8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pbkli8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pcrb8u' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pcrbo8u' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pcrr8u' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pcrro8u' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `phvb8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `phvbn8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `phvbo8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `phvbon8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `phvr8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `phvrn8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `phvro8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `phvron8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pncb8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pncbi8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pncr8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pncri8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pplb8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pplbi8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pplr8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pplri8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `ptmb8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `ptmbi8z' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `ptmr8z' already exists, 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): fontmap entry for `pagd8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pagdo8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pagk8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pagko8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pbkd8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pbkdi8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pbkl8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pbkli8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pcrb8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pcrbo8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pcrr8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pcrro8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `phvb8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `phvbo8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `phvr8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `phvro8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pncb8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pncbi8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pncr8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pncri8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pplb8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pplbi8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pplr8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pplri8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `psyr' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `psyrgo' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `ptmb8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `ptmbi8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `ptmr8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `ptmri8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pzcmi8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pzdr' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxphvb' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxphvbo' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxphvr' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxphvro' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxptmb' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxptmbi' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxptmbo' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxptmr' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxptmri' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxptmro' already exists, duplicates ignored }{/usr/share/texlive/texmf-dist/fonts/enc/dvips/base/8r.enc}{/usr/share/texlive/texmf-dist/fonts/enc/dvips/lm/lm-rep-cmtt.enc}] [2] [3] (./HW10_Ques.aux) Package rerunfilecheck Info: File `HW10_Ques.out' has not changed. (rerunfilecheck) Checksum: D41D8CD98F00B204E9800998ECF8427E;0. ) Here is how much of TeX's memory you used: 16024 strings out of 476041 247106 string characters out of 5793174 1857388 words of memory out of 6000000 36164 multiletter control sequences out of 15000+600000 532357 words of font info for 109 fonts, out of 8000000 for 9000 1137 hyphenation exceptions out of 8191 75i,5n,76p,1006b,448s stack positions out of 10000i,1000n,20000p,200000b,200000s Output written on HW10_Ques.pdf (3 pages, 83881 bytes). PDF statistics: 74 PDF objects out of 1000 (max. 8388607) 56 compressed objects within 1 object stream 21 named destinations out of 1000 (max. 500000) 26625 words of extra memory for PDF output out of 29859 (max. 10000000)