aboutsummaryrefslogtreecommitdiffstats
path: root/buch/papers/multiplikation/tikz_formulas
diff options
context:
space:
mode:
authorNunigan <michael.schmid2@ost.ch>2021-07-27 22:01:05 +0200
committerNunigan <michael.schmid2@ost.ch>2021-07-27 22:01:05 +0200
commit3875ac2b8df9145a66e9f6fcf34e77eb3bc2d072 (patch)
treeb5113260e190dfc7a94e4298bf6eb5ae21c08344 /buch/papers/multiplikation/tikz_formulas
parentMerge pull request #50 from paschost/patch-1 (diff)
downloadSeminarMatrizen-3875ac2b8df9145a66e9f6fcf34e77eb3bc2d072.tar.gz
SeminarMatrizen-3875ac2b8df9145a66e9f6fcf34e77eb3bc2d072.zip
added first part of paper and code
Diffstat (limited to 'buch/papers/multiplikation/tikz_formulas')
-rw-r--r--buch/papers/multiplikation/tikz_formulas/algo.fdb_latexmk254
-rw-r--r--buch/papers/multiplikation/tikz_formulas/algo.fls438
-rw-r--r--buch/papers/multiplikation/tikz_formulas/algo.pdfbin0 -> 33785 bytes
-rwxr-xr-xbuch/papers/multiplikation/tikz_formulas/algo.tex131
-rw-r--r--buch/papers/multiplikation/tikz_formulas/algo_graph.fdb_latexmk245
-rw-r--r--buch/papers/multiplikation/tikz_formulas/algo_graph.fls485
-rwxr-xr-xbuch/papers/multiplikation/tikz_formulas/algo_graph.pdfbin0 -> 15850 bytes
-rwxr-xr-xbuch/papers/multiplikation/tikz_formulas/algo_graph.tex140
8 files changed, 1693 insertions, 0 deletions
diff --git a/buch/papers/multiplikation/tikz_formulas/algo.fdb_latexmk b/buch/papers/multiplikation/tikz_formulas/algo.fdb_latexmk
new file mode 100644
index 0000000..5f14129
--- /dev/null
+++ b/buch/papers/multiplikation/tikz_formulas/algo.fdb_latexmk
@@ -0,0 +1,254 @@
+# Fdb version 3
+["pdflatex"] 1620305767 "algo.tex" "algo.pdf" "algo" 1621586452
+ "/dev/null" 1621583990 0 d41d8cd98f00b204e9800998ecf8427e ""
+ "/etc/texmf/web2c/texmf.cnf" 1619433543 475 c0e671620eb5563b2130f56340a5fde8 ""
+ "/usr/share/texlive/texmf-dist/fonts/enc/dvips/base/8r.enc" 1165713224 4850 80dc9bab7f31fb78a000ccfed0e27cab ""
+ "/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/jknappen/ec/ecrm1000.tfm" 1136768653 3584 adb004a0c8e7c46ee66cad73671f37b4 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm" 1229303445 688 37338d6ab346c2f1466b29e195316aa4 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs5.tfm" 1229303445 684 3a51bd4fd9600428d5264cf25f04bb9a ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs7.tfm" 1229303445 692 1b6510779f0f05e9cbf03e0f6c8361e6 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxb.tfm" 1136768653 1020 c53143d3e3747b5c1149bd9a5ecd7b55 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxmi.tfm" 1136768653 1056 e2202af076e43d03fc17f87e104021b0 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmb.tfm" 1136768653 4572 2c370d27bbb031f7592de9d41dc8cfca ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm" 1136768653 4452 0fd0a792eaab7113e4d4f1b941ff0367 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmri.tfm" 1136768653 4640 ce59980bcbe9e6236fab46d0b5212c7e ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm" 1136768653 1004 c0e991f864f31f017ea4ff9e451b76d4 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xb.tfm" 1136768653 6892 772bf8e6c154137db8568fa8a47a6ceb ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm" 1136768653 6716 6d25a377562601272906e3bfe6b2817a ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm" 1136768653 1080 b674b4ba143004461509a754a0984b67 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm" 1136768653 688 f56006d6e56f46e63d9f63252958b828 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm" 1136768653 2584 cf4a6a7c2a518d47468fe29ef0913ba0 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm" 1232065820 1944 f854e259cb2839e49d4aa2949544a6e1 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm" 1136768653 1180 72784d0ee5a983fba99a0986b31b0493 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm" 1136768653 2408 aec793a3c45e495f7ad15b227c91f508 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm" 1136768653 1268 1d124f224979493f8fd017a7597ea1cd ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm" 1136768653 972 2c9ffac4bbd20f91c01aaef9bf3f8710 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm" 1136768653 988 098ca7e8cc5647b9ac21b82dbdce1f01 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm" 1136768653 1084 75e807e9e71f7a312e4e1187dce5e93b ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyatip10.tfm" 1381187214 608 50246cc71b0635b0ba0a5c10a0bf4257 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybsql10.tfm" 1381187214 608 4db60f15ea23b4ec2d796c6d568a63fa ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybtip10.tfm" 1381187214 608 50246cc71b0635b0ba0a5c10a0bf4257 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycirc10.tfm" 1381187214 844 3393210079fb4ed9347e214b3bfd7c1a ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmat10.tfm" 1381187214 608 f124f78ed50a1817738d2adb190cf2bd ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmbt10.tfm" 1381187214 608 f124f78ed50a1817738d2adb190cf2bd ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xydash10.tfm" 1381187214 984 5c01c46b93e3ba8369f3f8edc6e62aef ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyluat10.tfm" 1381187214 608 a3a3bc08980c5126ff2a7a68fb5a64ff ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xylubt10.tfm" 1381187214 608 a3a3bc08980c5126ff2a7a68fb5a64ff ""
+ "/usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/rtxmi.pfb" 1232065820 13806 49b888f4605a088e66b9eb4fee320a6e ""
+ "/usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/rtxr.pfb" 1136849748 6339 e2b78706efdc360ee6aec9b6e20211a7 ""
+ "/usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/txex.pfb" 1136849748 17531 c91f2d6943f51d7c46d6b7b9cedd50ba ""
+ "/usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/txsy.pfb" 1136849748 20336 69267d8a81bca8b24c9b42694a4a28f9 ""
+ "/usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmb8a.pfb" 1136849748 44729 811d6c62865936705a31c797a1d5dada ""
+ "/usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmr8a.pfb" 1136849748 46026 6dab18b61c907687b520c72847215a68 ""
+ "/usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmri8a.pfb" 1136849748 45458 a3faba884469519614ca56ba5f6b1de1 ""
+ "/usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/t1xb.vf" 1136768653 2144 bab2875eda5b2344ea7b1db74ccc03a4 ""
+ "/usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/t1xr.vf" 1136768653 2140 99e5b3a34695df6221a167ffa8b498d6 ""
+ "/usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txmi.vf" 1232065820 960 cfcc9d587b40b769f64408b3ca115941 ""
+ "/usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txr.vf" 1136768653 904 e582cae2d8ae3f48a0a520440ebcdb51 ""
+ "/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii" 1461363279 71627 94eb9990bed73c364d7f53f960cc8c5b ""
+ "/usr/share/texlive/texmf-dist/tex/generic/atbegshi/atbegshi.sty" 1575674566 24708 5584a51a7101caf7e6bbf1fc27d8f7b1 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty" 1576625341 40635 c40361e206be584d448876bba8a64a3b ""
+ "/usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty" 1576016050 33961 6b5c75130e435b2bfdb9f480a09a39f9 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty" 1576625273 7734 b98cbb34c81f667027c1e3ebdbfce34b ""
+ "/usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty" 1576625223 8371 9d55b8bd010bc717624922fb3477d92e ""
+ "/usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty" 1572645307 492 1994775aa15b0d1289725a0b1bbc2d4c ""
+ "/usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty" 1572645307 480 5778104efadad304ced77548ca2184b1 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty" 1573336935 6902 30fdaf7dc5636b8e3afa306210c45cae ""
+ "/usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty" 1572645307 1057 525c2192b5febbd8c1f662c9468335bb ""
+ "/usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty" 1575499628 8356 7bbb2c2373aa810be568c29e333da8ed ""
+ "/usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty" 1576625065 31769 002a487f55041f8e805cfbf6385ffd97 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty" 1576878844 5412 d5a2436094cd7be85769db90f29250a6 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty" 1576624944 13807 952b0226d4efca026f0e19dd266dcc22 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty" 1576624883 18552 1e1cc7b75da0dfaacce7cdcb27d306bf ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty" 1576015897 19007 15924f7228aca6c6d184b115f4baa231 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex" 1557692582 992 fb3cda354707a54fda62787a411c7c22 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex" 1546728038 43820 bc6cf5aa959817914ace33f5c6232161 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex" 1557692582 19324 c9a64402f22bd8d81821141a357af653 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex" 1546728038 6038 d639d02574be9a72f3c602c2a3510e02 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex" 1546728038 6948 284bbe3c9a7ca0a826c1c03895e69b9f ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex" 1546728038 4883 a6f3eb1f71d8c4affaf43a169828b043 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex" 1546728038 2544 3b1b198fd49f01e328adc9162a07b213 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex" 1576793519 44189 1fd6229dad4c898883516c032f2ca5d2 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex" 1546728038 17311 3092579be20ef0f229c42ad3f09da85c ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex" 1546728038 21302 d6c4b340248adbe650ebf6ca76bdccca ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex" 1562964315 9690 7585efa5a591822837f837bc5bc35621 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex" 1576793519 33335 942ccafe284041918d36e54696b98aa7 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex" 1546728038 2965 502761b60f43ab2de5ecb2f4625163ae ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex" 1546728038 5196 f8c5c775d4d6e2cb050392127cabda72 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex" 1576793519 20726 ed6ec1d6f0f35e7a93de4e79af83dbce ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex" 1557692582 35249 144a6b9c4df4644618bb3a0a40472608 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex" 1546728038 21989 266e83c51fe41eb8b8d5e6896dc71cc1 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex" 1546728038 8842 5cc856e132fac404805c6da091779283 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrows.code.tex" 1546728038 319 8fc6edce901e074ba09de320a8fc686b ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex" 1546728038 3986 c962be8d57437fcaf853d2babd8ed403 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybackgrounds.code.tex" 1546728038 4572 980c82f01c0e3983edadbbc373d304cb ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfit.code.tex" 1546728038 3643 4a4bd51bd85886cc39d4073af8cf77a9 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex" 1546728038 4202 e655aa2657da1088ec7745ece2876c4c ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex" 1546728038 3937 20cd45386ca23052ce976464f0ada984 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex" 1546728038 919 da625675781832f2b61a7048a51ef656 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex" 1576793519 11544 2a5d66a3270abf4ef673e8a0b7734a90 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex" 1576967981 187592 7922ceab1864698dec4c84978d5b182f ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex" 1546728038 31874 d843d507175f2bdfa3abf01f0349dac8 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex" 1546728038 32995 a4d54c043ae5274ceaaddeb36ad43a6f ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex" 1546728038 62281 fd68e6d2c2dc178611c8f4d2d86e79ae ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfint.code.tex" 1557692582 3063 8c415c68a0f3394e45cfeca0b65f6ee6 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex" 1557692582 521 c70cf6ad609de83a27ee7929eb356332 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex" 1557692582 13391 933cab19c6d27039dbfc487330d1005a ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex" 1557692582 104938 15f2d8bdabd6bf9ca70f62cd8e3d4940 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex" 1557692582 10157 218d58ab074e5bd0d027de45ec64cc00 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex" 1576793519 28176 568b081ec39645f2db1a29fbd0c635e2 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex" 1562964315 9054 388d21239a1b6df2cc8beaae31c976b0 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex" 1557692582 3865 cddf7ddc80f018587c55afdcc79fc333 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex" 1557692582 3177 27d85c44fbfe09ff3b2cf2879e3ea434 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex" 1557692582 10925 df50b8a6e5660a585e3a2bf55726dcc8 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex" 1562964315 7787 1750fc3f164703caf31fc8ea9218c67e ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex" 1557692582 3379 cbd0948a550bd7a495a160ca6beee9ed ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex" 1557692582 92405 bba89470858d7b0788a9c09331c39653 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex" 1576793519 36526 453db1f8626a56b5ebb0fad496d6a39f ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex" 1576793519 8471 b18959397c76e1e582402ab9f592ed9f ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex" 1576793519 21201 46a4dded6619f990ac7347f99fbaac9f ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex" 1557692582 16121 9e240115374a8d489f2f786115df83a9 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex" 1576793519 43259 3e05ba63539916af2eaca603c2eda780 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex" 1578520427 465 1f401ab1e7fc6cb7ede39e96c66531fd ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg" 1557692582 926 70ff613fabeb70f5d1673dc0c93987bd ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def" 1557692582 5546 3586827e6032c95512b2a6682d2979a3 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def" 1562964315 12603 c02869ea216d842c29d52fae8738264e ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex" 1557692582 60269 e86bc0081af83a4ad47e4500ee09a2e4 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex" 1557692582 1896 82c274ff520f9e450ccea4e3ef4edc12 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex" 1557692582 7778 a25a32a10ca820357491d4c7b3ac02ea ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex" 1562964315 23777 cb6c8f02f87d86d621f5cb92c44f4998 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex" 1576793519 36815 f7f1772c398f07af2cb741992963045c ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex" 1562964315 37439 bd44d50aef702b03193f731207931834 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex" 1557692582 4494 7e5ace0ccf59408f2cf63219a5d36927 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex" 1557692582 7250 03b2b9fb5fa38e7ca5cc3c45860fb210 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex" 1576793519 28309 488ccc6c701bbdd1bf671f708757aa5c ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def" 1562964315 6286 1bd76fc45da9929ab2a64f51cba3ab6f ""
+ "/usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty" 1576624663 7008 f92eaa0a3872ed622bbf538217cd2ab7 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xkeyval/keyval.tex" 1403829539 2725 fc34ef3ccb37ba15a640e8fca6190bca ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex" 1417732693 19231 26434a5656c684f5ffb1f26f98006baa ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex" 1403829539 7677 6f5ce7c1124cad7ec57d05b2562bd8fe ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xy.sty" 1312310545 4692 1e1bcf75c622af1eefd9169948208302 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xy.tex" 1381187214 115380 413d5f789929a45aab7d12ce0d0aee7d ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyall.tex" 1312310545 1449 24340b6befc66d28ee1ebb657efb5892 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyarrow.tex" 1312310545 22657 990ce136a3cc15728ba417a2e78b25c8 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xycmtip.tex" 1312310545 1374 43fb8dc80dd748631d78096701166d76 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xycolor.tex" 1312310545 4586 edd672434f45626662368282c0322160 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xycurve.tex" 1312310545 109670 d412ee1ff259daefee5e927172e2f9a8 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyframe.tex" 1337903317 24249 186931a828664624939ab0b347e3952c ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xygraph.tex" 1312310545 9619 b7e4d9a6936ba2ad6119a280abde9641 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyidioms.tex" 1312310545 2907 1ee562fde0b53c9cd16f7a604f33fdf0 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyline.tex" 1312310545 10928 c3a572983ccc9fc596b4e9ce454d5652 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xymatrix.tex" 1312310545 22583 25b1e7edeee41f181ee9733429da4a9c ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-co.tex" 1312310545 8442 90cb8a3b00c2081384c1ce988d2ba0a3 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-cu.tex" 1312310545 39762 25a964ebb390bcfcd35c040f477eef1d ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-fr.tex" 1312310545 16485 5686b19cc46d046c885428794ed9c114 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-li.tex" 1312310545 2619 1a12b316e2132654e44ba2cd21def637 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-ro.tex" 1312310545 5290 e16fc85c85f64d0a5c04708bf3312d00 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf.tex" 1312310545 18763 e61049d36bdfccb226f22e582d70d368 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyrecat.tex" 1312310545 1391 c8763fc8e281cb6ecf697988b6608e4a ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyrotate.tex" 1312310545 7008 cb768d8d63a12d35607cbb3c4e7ba163 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xytips.tex" 1381187214 3689 0d51788a4141bc66ab896f7ac63495fd ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty" 1513722769 12604 3dec726c041422879dc3268237f09026 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty" 1359763108 5949 3f3fd50a8cc94c3d4cbf4fc66cd3df1c ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty" 1359763108 13829 94730e64147574077f8ecfea9bb69af4 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty" 1523134290 2211 ca7ce284ab93c8eecdc6029dc5ccbd73 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amscd.sty" 1523134290 5309 0c9ef5db85b924cdbb316f080dfd826e ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty" 1523134290 4161 7f6eb9092061a11f87d08ed13515b48d ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty" 1580683321 85660 baee036978c7a91f4e2bba43f05e5945 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty" 1523134290 4116 32e6abd27229755a83a8b7f18e583890 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty" 1523134290 2432 8ff93b1137020e8f21930562a874ae66 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/aobs-tikz/tikzlibraryoverlay-beamer-styles.code.tex" 1389658833 4047 82a015585c1ef210fb6750d6322afa7f ""
+ "/usr/share/texlive/texmf-dist/tex/latex/atveryend/atveryend.sty" 1576191570 19336 ce7ae9438967282886b3b036cfad1e4d ""
+ "/usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty" 1576625391 3935 57aa3c3e203a5c2effb4d2bd2efbc323 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/base/article.cls" 1580683321 20023 e427dd9e17e239bf926ef3aab67fe35e ""
+ "/usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty" 1581632200 4947 0c2888dd88121ae675fc6e82213623ba ""
+ "/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty" 1580683321 5159 892429808d9e0e2b3548aaefd9a06ed0 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty" 1580683321 5050 8933a39ad74377accd18991c5eb90c58 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo" 1580683321 8446 9874cccac5fee462272c582807dbbf56 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/base/textcomp.sty" 1581112666 2821 2c0928feafd5527387e29a1af774d030 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/carlisle/slashed.sty" 1137109962 5327 8b3c95b5f71136add36a4a0bb1507594 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/cite/cite.sty" 1425427964 26218 19edeff8cdc2bcb704e8051dc55eb5a7 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty" 1579991033 13886 d1306dcf79a944f6988e688c1785f9ce ""
+ "/usr/share/texlive/texmf-dist/tex/latex/eso-pic/eso-pic.sty" 1526160256 11991 c1669f88e13f8bb6243df144e456b477 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty" 1548974385 11128 a53805799bebfed6358fc1658a18e41f ""
+ "/usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty" 1578002852 41601 9cf6c5257b1bc7af01a58859749dd37a ""
+ "/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg" 1459978653 1213 620bba36b25224fa9b7e1ccb4ecb76fd ""
+ "/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg" 1465944070 1224 978390e9c2234eab29404bc21b268d1e ""
+ "/usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def" 1515537368 17334 520b9b85ad8a2a48eda3f643e27a5179 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty" 1580683321 16932 04729abe63b66ec59ea56edcd722b058 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty" 1580683321 9067 1b996612394a52e1efe89c8bfe8a5892 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/graphics/lscape.sty" 1580683321 1753 f80abc75c0e3a4915097779c2649cc98 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty" 1580683321 3976 d7fa7d81d2870d509d25b17d0245e735 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty" 1580250785 17914 4c28a13fc3d975e6e81c9bea1d697276 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def" 1579642962 50630 3d9728faf8630190cf601ce2cbe470d9 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty" 1579642962 238752 60dd338d71b6a4ab2192131f73dc908b ""
+ "/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty" 1579642962 13244 0070bcab7b5a88187847128d22faf4d8 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def" 1579642962 14134 32b36577d311ddb6522413c7581ee968 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty" 1137110241 300 12fa6f636b617656f2810ee82cb05015 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd" 1137110241 548 cc4e3557704bfed27c7002773fad6c90 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty" 1575152344 22520 c4c2dab203104295e1e618be7e5c0f5b ""
+ "/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdfmode.def" 1580854751 25404 9d60f463a00d154207ec0048dee27cf0 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty" 1581719662 4381 04628f3002bdd1d9c43ef984fd60ae18 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty" 1581719662 81717 e93576ac4b24ce6e121ebd6ec6cf2893 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg" 1279039959 678 4792914a8f45be57bb98413425e4c7af ""
+ "/usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty" 1575499565 5766 13a9e8766c47f30327caf893ece86ac8 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.ltd.tex" 1546728170 98047 c6fa29828cc60471827afe275c8bd77f ""
+ "/usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.sty" 1546638616 18060 8cf65af2c4529eed91b5d364b50d3ada ""
+ "/usr/share/texlive/texmf-dist/tex/latex/listings/listings.cfg" 1568236792 1830 bbaba8afaf42cc048ec4d4ff73467521 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/listings/listings.sty" 1568236792 80511 830f3f1d3ab7448dd84233e9c2f6462c ""
+ "/usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty" 1568236792 77022 32914f01b528131c47be2a1040d3856d ""
+ "/usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/pgflibrarymatrix.skeleton.code.tex" 1565039202 19612 007f8469df07e9ef0f680e346cc01945 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/tikzlibrarymatrix.skeleton.code.tex" 1565039202 7267 4d597b08b2429acaa1e526052d9509ed ""
+ "/usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty" 1177890616 3878 6aa7c08ff2621006e0603349e40a30a8 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/multirow/multirow.sty" 1559339157 5486 a1d954b09782ba0acd8a8abfd98e1028 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/paralist/paralist.sty" 1485124581 14857 82c76ebe8f06becf69ab309565b2a0cb ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pdflscape/pdflscape.sty" 1575674318 6575 25396d208d8f2b9395d06ef315d5886c ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pdfpages/pdfpages.sty" 1580249532 54071 88f1e37dc9e1f95352061a066ed07263 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pdfpages/pppdftex.def" 1580249532 6418 197ed301e61ce5b7f446e70345a43a62 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pdftexcmds/pdftexcmds.sty" 1574631863 19963 36fd8e818f9f0f32e2db8413d4970122 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty" 1546728038 1090 d20f587ea9464d1841bd0d13d3ff9856 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty" 1288312291 410 5bf12ea7330e5f12c445332a4fe9a263 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty" 1546728038 21013 e98e1aaaf40d31632787c2bd25d24b57 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty" 1546728038 989 2cf3da8e8ec55131c49389428d565e37 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty" 1203877327 339 592cf35cba3d400082b8a9a5d0199d70 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty" 1393459310 306 0796eafca5e159e6ec2167a6d22d81b1 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty" 1393459310 443 0b2e781830192df35c0fd357cf13e26e ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty" 1393459310 348 8927fde343487e003b01a4c2ca34073b ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty" 1203727794 274 4cad6e665cc93ac2ac979039a94fa1e1 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty" 1203877327 325 2bcd023400636339210573e2b3ee298b ""
+ "/usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty" 1156702453 857 6c716f26c5eadfb81029fcd6ce2d45e6 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty" 1576624809 9878 9e94e8fa600d95f9c7731bb21dfb67a4 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty" 1575674187 9715 b051d5b493d9fe5f4bc251462d039e5f ""
+ "/usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cfg" 1522098998 1015 662b4d7ad816b857a598284525f5c75e ""
+ "/usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cls" 1522098998 28890 df75e6d37f47b7e27bff3f37375336b3 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/tools/array.sty" 1580683321 12560 ce3f59ceae9d9a27bfe037d6bf1d903c ""
+ "/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty" 1580683321 10216 5efd55f2010055e7b7875afd6a75be82 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty" 1580683321 4120 d1680a5ff60d0aea9c327e07c030f4e9 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/omltxmi.fd" 1137111002 492 e7f8afe4428797548d4301de03a1b15f ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/omstxsy.fd" 1137111002 329 6ac7e19535b9f1d64e4d8e3f77dc30a3 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/omxtxex.fd" 1137111002 312 11fe1916b0a13a81a05234a6fc7f8738 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/ot1txr.fd" 1137111002 1271 4e3afbd8e832f2f9c7f064894e6e68e4 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/t1txr.fd" 1137111002 1242 cbf8a0d4f750f9833a0bfb05fb39f1cb ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/txfonts.sty" 1206746551 50381 d367461010070c7a491b1f6979ab2062 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxexa.fd" 1137111002 310 1b00b0b05685b816e4c6caccce437e0d ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxmia.fd" 1137111002 334 87436a82076ca2e35cd305f852507afc ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsya.fd" 1137111002 310 cee07e4964749ccbc77d84fc49726a79 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyb.fd" 1137111002 310 8c5467c8932c259af51b0f116c9734bd ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyc.fd" 1137111002 310 4b5d6fe830337242ef847b3bff48ba21 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/url/url.sty" 1388531844 12796 8edb7d69a20b857904dd0ea757c14ec9 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/varwidth/varwidth.sty" 1238697683 10894 d359a13923460b2a73d4312d613554c8 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty" 1463002160 55589 34128738f682d033422ca125f82e5d62 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty" 1417732693 4962 9c1069474ff71dbc47d5006555e352d3 ""
+ "/usr/share/texlive/texmf-dist/web2c/texmf.cnf" 1581979058 38841 ce3692aa899bb693b90b87eaa5d4d84e ""
+ "/usr/share/texmf/web2c/texmf.cnf" 1581979058 38841 ce3692aa899bb693b90b87eaa5d4d84e ""
+ "/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1619433582 4770781 1ed1abab22da9c3e2cc82e4db562318b ""
+ "/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1619433611 8255863 afe1ed795207f6401d11bafd6327aa55 ""
+ "algo.aux" 1620305767 767 9191aef204e325cc808d7c85cedac35f "pdflatex"
+ "algo.out" 1620305767 43 8eacde2f35419fc00651f55d16e47ae8 "pdflatex"
+ "algo.tex" 1621585209 3156 4070ef1cd3442b3ab588aedcc8a306bd ""
+ (generated)
+ "algo.aux"
+ "algo.log"
+ "algo.pdf"
+ "algo.out"
diff --git a/buch/papers/multiplikation/tikz_formulas/algo.fls b/buch/papers/multiplikation/tikz_formulas/algo.fls
new file mode 100644
index 0000000..16d387b
--- /dev/null
+++ b/buch/papers/multiplikation/tikz_formulas/algo.fls
@@ -0,0 +1,438 @@
+PWD /home/nunigan/Documents/MSE/FS21/SeminarMatrizen/buch/papers/multiplikation/tikz_formulas
+INPUT /etc/texmf/web2c/texmf.cnf
+INPUT /usr/share/texmf/web2c/texmf.cnf
+INPUT /usr/share/texlive/texmf-dist/web2c/texmf.cnf
+INPUT /var/lib/texmf/web2c/pdftex/pdflatex.fmt
+INPUT algo.tex
+OUTPUT algo.log
+INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cls
+INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cls
+INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xkeyval/keyval.tex
+INPUT /dev/null
+INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/size10.clo
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/size10.clo
+INPUT /usr/share/texlive/texmf-dist/tex/latex/varwidth/varwidth.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/varwidth/varwidth.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty
+INPUT /usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/jknappen/ec/ecrm1000.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdfmode.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdfmode.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.ltd.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.ltd.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amscd.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amscd.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/textcomp.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/textcomp.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/txfonts.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/txfonts.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xy.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xy.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xy.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyrecat.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyidioms.tex
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xydash10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyatip10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybtip10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybsql10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycirc10.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyall.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyall.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycurve.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycurve.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyframe.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyframe.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycmtip.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycmtip.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xytips.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xytips.tex
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmat10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmbt10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyluat10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xylubt10.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyline.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyline.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyrotate.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyrotate.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycolor.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycolor.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xymatrix.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xymatrix.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyarrow.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyarrow.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xygraph.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xygraph.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-co.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-cu.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-fr.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-li.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-ro.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/paralist/paralist.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/paralist/paralist.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdftexcmds/pdftexcmds.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdftexcmds/pdftexcmds.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def
+INPUT /usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/url/url.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/url/url.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/atbegshi/atbegshi.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/atbegshi/atbegshi.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/atveryend/atveryend.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/atveryend/atveryend.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/array.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/array.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfint.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/carlisle/slashed.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/carlisle/slashed.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pdfpages.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pdfpages.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/eso-pic/eso-pic.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/eso-pic/eso-pic.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pppdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pppdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/cite/cite.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/cite/cite.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrows.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrows.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/aobs-tikz/tikzlibraryoverlay-beamer-styles.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/aobs-tikz/tikzlibraryoverlay-beamer-styles.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/tikzlibrarymatrix.skeleton.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/tikzlibrarymatrix.skeleton.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/pgflibrarymatrix.skeleton.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/pgflibrarymatrix.skeleton.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfit.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfit.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybackgrounds.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybackgrounds.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/multirow/multirow.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/multirow/multirow.sty
+INPUT algo.aux
+INPUT algo.aux
+OUTPUT algo.aux
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omltxmi.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omltxmi.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omstxsy.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omstxsy.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omxtxex.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omxtxex.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxexa.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxexa.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/t1txr.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/t1txr.fd
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii
+INPUT /usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii
+INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/ot1txr.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/ot1txr.fd
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsya.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsya.fd
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyb.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyb.fd
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs7.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs5.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxmia.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxmia.fd
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyc.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyc.fd
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty
+INPUT algo.out
+INPUT algo.out
+INPUT algo.out
+INPUT algo.out
+OUTPUT algo.pdf
+INPUT ./algo.out
+INPUT ./algo.out
+OUTPUT algo.out
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdflscape/pdflscape.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdflscape/pdflscape.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/lscape.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/lscape.sty
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xb.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txmi.vf
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmri.tfm
+INPUT /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map
+INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txr.vf
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txr.vf
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/t1xr.vf
+INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/t1xb.vf
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmb.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxb.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txmi.vf
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmri.tfm
+INPUT algo.aux
+INPUT ./algo.out
+INPUT ./algo.out
+INPUT /usr/share/texlive/texmf-dist/fonts/enc/dvips/base/8r.enc
+INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/rtxmi.pfb
+INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/rtxr.pfb
+INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/txex.pfb
+INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/txsy.pfb
+INPUT /usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmb8a.pfb
+INPUT /usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmr8a.pfb
+INPUT /usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmri8a.pfb
diff --git a/buch/papers/multiplikation/tikz_formulas/algo.pdf b/buch/papers/multiplikation/tikz_formulas/algo.pdf
new file mode 100644
index 0000000..f711224
--- /dev/null
+++ b/buch/papers/multiplikation/tikz_formulas/algo.pdf
Binary files differ
diff --git a/buch/papers/multiplikation/tikz_formulas/algo.tex b/buch/papers/multiplikation/tikz_formulas/algo.tex
new file mode 100755
index 0000000..1e437c2
--- /dev/null
+++ b/buch/papers/multiplikation/tikz_formulas/algo.tex
@@ -0,0 +1,131 @@
+\documentclass[border=10pt,varwidth]{standalone}
+\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry}
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage{times}
+\usepackage{geometry}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{mathrsfs}
+\usepackage{amsfonts}
+\usepackage{amsthm}
+\usepackage{lipsum}
+\usepackage{amscd}
+\usepackage{graphicx}
+\usepackage{fancyhdr}
+\usepackage{textcomp}
+\usepackage{txfonts}
+\usepackage[all]{xy}
+\usepackage{paralist}
+\usepackage[colorlinks=true]{hyperref}
+\usepackage{array}
+\usepackage{tikz}
+\usepackage{slashed}
+\usepackage{pdfpages}
+\usepackage{cite}
+\usepackage{url}
+\usepackage{amsmath,amsfonts,amssymb}
+\usepackage{tikz}
+\usetikzlibrary{arrows,matrix,positioning}
+\usetikzlibrary{overlay-beamer-styles}
+\usetikzlibrary{matrix.skeleton}
+\usetikzlibrary{automata,positioning}
+\usepackage{listings}
+\usepackage{multirow}
+\usepackage{color}
+
+\begin{document}
+
+$
+A=
+\begin{bmatrix}
+A_{11} & A_{12}\\
+A_{21} & A_{22}
+\end{bmatrix},
+B=
+\begin{bmatrix}
+B_{11} & B_{12}\\
+B_{21} & B_{22}
+\end{bmatrix},
+C=
+\begin{bmatrix}
+C_{11} & C_{12}\\
+C_{21} & C_{22}
+\end{bmatrix}
+$
+
+\medskip
+$
+A \cdot B = C
+$
+
+\medskip
+$
+C_{11} = A_{11} \cdot B_{11} + A_{12} \cdot B_{21}\\
+C_{12} = A_{11} \cdot B_{12} + A_{12} \cdot B_{22}\\
+C_{21} = A_{21} \cdot B_{11} + A_{22} \cdot B_{21}\\
+C_{22} = A_{21} \cdot B_{12} + A_{22} \cdot B_{22}
+$
+
+\medskip
+\begin{math}
+\begin{aligned}
+\text{I} &= (A_{11} + A_{22}) \cdot (B_{11} + B_{22}) \\
+\text{II} &= (A_{21} + A_{22}) \cdot B_{11} \\
+\text{III} &= A_{11} \cdot (B_{12}-B_{22}) \\
+\text{IV} &= A_{22} \cdot (-B_{11}+B_{21}) \\
+\text{V} &= (A_{11} + A_{12}) \cdot B_{22} \\
+\text{VI} &= (-A_{11} + A_{21}) \cdot (B_{11} + B_{12})) \\
+\text{VII} &= (A_{12} - A_{22}) \cdot (B_{21} + B_{22}) \\
+\end{aligned}
+\end{math}
+
+
+\medskip
+\begin{math}
+\begin{aligned}
+C_{11} &= \text{I} + \text{IV} - \text{V} + \text{VII} \\
+C_{21} &= \text{II} + \text{IV} \\
+C_{12} &= \text{III} + \text{V}\\
+C_{22} &= \text{I} + \text{III} - \text{II} + \text{VI} \\
+\end{aligned}
+\end{math}
+
+
+\medskip
+\begin{math}
+\begin{aligned}
+C_{11} &= \text{II} + \text{IV} \\
+C_{11} &= (A_{11} + A_{22}) \cdot (B_{11} + B_{22}) + A_{22} \cdot (-B_{11}+B_{21}) - (A_{11} + A_{12}) \cdot B_{22} + (A_{12} - A_{22}) \cdot (B_{21} + B_{22})C_{21} \\
+C_{11} &= A_{11}B_{11} + A_{11}B_{22} + A_{22}B_{11} + A_{22}B_{22} -A_{22}B_{11}+A_{22}B_{21} - A_{11}B_{22} - A_{12}B_{22}+ A_{12}B_{21} + A_{12}B_{22} - A_{22}B_{21} - A_{22}B_{22} \\
+C_{11} &= A_{11}B_{11} + A_{12}B_{21}
+\end{aligned}
+\end{math}
+
+\section{Winograd}
+
+$
+x_1 y_1 + x_2 y_2 = (x_1 +y_2)(y_1 + x_2)-x_1 x_2 - y_1 y_2
+$
+
+$
+x = (x_1, \cdots, x_n), y=(y_1, \cdots, y_n)
+$
+
+\[
+\xi = \sum_{j=1}^{ \lfloor n/2 \rfloor} x_{2j-1} \cdot x_{2j}
+\]
+
+\[
+\eta = \sum_{j=1}^{ \lfloor n/2 \rfloor} y_{2j-1} \cdot y_{2j}
+\]
+
+\[
+\langle x,y \rangle =
+\begin{cases}
+ \displaystyle \sum_{j=1}^{ \lfloor n/2 \rfloor} (x_{2j-1} + y_{2j})(x_{2j}+y_{2j-1})-\xi - \eta & \text{if $n$ is even}\\
+\displaystyle \sum_{j=1}^{ \lfloor n/2 \rfloor} (x_{2j-1} + y_{2j})(x_{2j}+y_{2j-1})-\xi - \eta + x_n y_n & \text{if $n$ is odd}
+\end{cases}
+\]
+
+\end{document}
diff --git a/buch/papers/multiplikation/tikz_formulas/algo_graph.fdb_latexmk b/buch/papers/multiplikation/tikz_formulas/algo_graph.fdb_latexmk
new file mode 100644
index 0000000..ddfa880
--- /dev/null
+++ b/buch/papers/multiplikation/tikz_formulas/algo_graph.fdb_latexmk
@@ -0,0 +1,245 @@
+# Fdb version 3
+["pdflatex"] 1621585121 "algo_graph.tex" "algo_graph.pdf" "algo_graph" 1621585184
+ "/dev/null" 1621583990 0 d41d8cd98f00b204e9800998ecf8427e ""
+ "/etc/texmf/web2c/texmf.cnf" 1619433543 475 c0e671620eb5563b2130f56340a5fde8 ""
+ "/usr/share/texlive/texmf-dist/fonts/enc/dvips/base/8r.enc" 1165713224 4850 80dc9bab7f31fb78a000ccfed0e27cab ""
+ "/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/jknappen/ec/ecrm1000.tfm" 1136768653 3584 adb004a0c8e7c46ee66cad73671f37b4 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm" 1229303445 688 37338d6ab346c2f1466b29e195316aa4 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs5.tfm" 1229303445 684 3a51bd4fd9600428d5264cf25f04bb9a ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs7.tfm" 1229303445 692 1b6510779f0f05e9cbf03e0f6c8361e6 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxmi.tfm" 1136768653 1056 e2202af076e43d03fc17f87e104021b0 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm" 1136768653 4452 0fd0a792eaab7113e4d4f1b941ff0367 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmri.tfm" 1136768653 4640 ce59980bcbe9e6236fab46d0b5212c7e ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm" 1136768653 1004 c0e991f864f31f017ea4ff9e451b76d4 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm" 1136768653 6716 6d25a377562601272906e3bfe6b2817a ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm" 1136768653 1080 b674b4ba143004461509a754a0984b67 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm" 1136768653 688 f56006d6e56f46e63d9f63252958b828 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm" 1136768653 2584 cf4a6a7c2a518d47468fe29ef0913ba0 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm" 1232065820 1944 f854e259cb2839e49d4aa2949544a6e1 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm" 1136768653 1180 72784d0ee5a983fba99a0986b31b0493 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm" 1136768653 2408 aec793a3c45e495f7ad15b227c91f508 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm" 1136768653 1268 1d124f224979493f8fd017a7597ea1cd ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm" 1136768653 972 2c9ffac4bbd20f91c01aaef9bf3f8710 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm" 1136768653 988 098ca7e8cc5647b9ac21b82dbdce1f01 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm" 1136768653 1084 75e807e9e71f7a312e4e1187dce5e93b ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyatip10.tfm" 1381187214 608 50246cc71b0635b0ba0a5c10a0bf4257 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybsql10.tfm" 1381187214 608 4db60f15ea23b4ec2d796c6d568a63fa ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybtip10.tfm" 1381187214 608 50246cc71b0635b0ba0a5c10a0bf4257 ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycirc10.tfm" 1381187214 844 3393210079fb4ed9347e214b3bfd7c1a ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmat10.tfm" 1381187214 608 f124f78ed50a1817738d2adb190cf2bd ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmbt10.tfm" 1381187214 608 f124f78ed50a1817738d2adb190cf2bd ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xydash10.tfm" 1381187214 984 5c01c46b93e3ba8369f3f8edc6e62aef ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyluat10.tfm" 1381187214 608 a3a3bc08980c5126ff2a7a68fb5a64ff ""
+ "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xylubt10.tfm" 1381187214 608 a3a3bc08980c5126ff2a7a68fb5a64ff ""
+ "/usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/rtxr.pfb" 1136849748 6339 e2b78706efdc360ee6aec9b6e20211a7 ""
+ "/usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmr8a.pfb" 1136849748 46026 6dab18b61c907687b520c72847215a68 ""
+ "/usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmri8a.pfb" 1136849748 45458 a3faba884469519614ca56ba5f6b1de1 ""
+ "/usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/t1xr.vf" 1136768653 2140 99e5b3a34695df6221a167ffa8b498d6 ""
+ "/usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txmi.vf" 1232065820 960 cfcc9d587b40b769f64408b3ca115941 ""
+ "/usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txr.vf" 1136768653 904 e582cae2d8ae3f48a0a520440ebcdb51 ""
+ "/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii" 1461363279 71627 94eb9990bed73c364d7f53f960cc8c5b ""
+ "/usr/share/texlive/texmf-dist/tex/generic/atbegshi/atbegshi.sty" 1575674566 24708 5584a51a7101caf7e6bbf1fc27d8f7b1 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty" 1576625341 40635 c40361e206be584d448876bba8a64a3b ""
+ "/usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty" 1576016050 33961 6b5c75130e435b2bfdb9f480a09a39f9 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty" 1576625273 7734 b98cbb34c81f667027c1e3ebdbfce34b ""
+ "/usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty" 1576625223 8371 9d55b8bd010bc717624922fb3477d92e ""
+ "/usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty" 1572645307 492 1994775aa15b0d1289725a0b1bbc2d4c ""
+ "/usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty" 1572645307 480 5778104efadad304ced77548ca2184b1 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty" 1573336935 6902 30fdaf7dc5636b8e3afa306210c45cae ""
+ "/usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty" 1572645307 1057 525c2192b5febbd8c1f662c9468335bb ""
+ "/usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty" 1575499628 8356 7bbb2c2373aa810be568c29e333da8ed ""
+ "/usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty" 1576625065 31769 002a487f55041f8e805cfbf6385ffd97 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty" 1576878844 5412 d5a2436094cd7be85769db90f29250a6 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty" 1576624944 13807 952b0226d4efca026f0e19dd266dcc22 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty" 1576624883 18552 1e1cc7b75da0dfaacce7cdcb27d306bf ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty" 1576015897 19007 15924f7228aca6c6d184b115f4baa231 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex" 1557692582 992 fb3cda354707a54fda62787a411c7c22 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex" 1546728038 43820 bc6cf5aa959817914ace33f5c6232161 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex" 1557692582 19324 c9a64402f22bd8d81821141a357af653 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex" 1546728038 6038 d639d02574be9a72f3c602c2a3510e02 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex" 1546728038 6948 284bbe3c9a7ca0a826c1c03895e69b9f ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex" 1546728038 4883 a6f3eb1f71d8c4affaf43a169828b043 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex" 1546728038 2544 3b1b198fd49f01e328adc9162a07b213 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex" 1576793519 44189 1fd6229dad4c898883516c032f2ca5d2 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex" 1546728038 17311 3092579be20ef0f229c42ad3f09da85c ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex" 1546728038 21302 d6c4b340248adbe650ebf6ca76bdccca ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex" 1562964315 9690 7585efa5a591822837f837bc5bc35621 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex" 1576793519 33335 942ccafe284041918d36e54696b98aa7 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex" 1546728038 2965 502761b60f43ab2de5ecb2f4625163ae ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex" 1546728038 5196 f8c5c775d4d6e2cb050392127cabda72 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex" 1576793519 20726 ed6ec1d6f0f35e7a93de4e79af83dbce ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex" 1557692582 35249 144a6b9c4df4644618bb3a0a40472608 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex" 1546728038 21989 266e83c51fe41eb8b8d5e6896dc71cc1 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex" 1546728038 8842 5cc856e132fac404805c6da091779283 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrows.code.tex" 1546728038 319 8fc6edce901e074ba09de320a8fc686b ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex" 1546728038 3986 c962be8d57437fcaf853d2babd8ed403 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybackgrounds.code.tex" 1546728038 4572 980c82f01c0e3983edadbbc373d304cb ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfit.code.tex" 1546728038 3643 4a4bd51bd85886cc39d4073af8cf77a9 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex" 1546728038 4202 e655aa2657da1088ec7745ece2876c4c ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex" 1546728038 3937 20cd45386ca23052ce976464f0ada984 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex" 1546728038 919 da625675781832f2b61a7048a51ef656 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex" 1576793519 11544 2a5d66a3270abf4ef673e8a0b7734a90 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex" 1576967981 187592 7922ceab1864698dec4c84978d5b182f ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex" 1546728038 31874 d843d507175f2bdfa3abf01f0349dac8 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex" 1546728038 32995 a4d54c043ae5274ceaaddeb36ad43a6f ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex" 1546728038 62281 fd68e6d2c2dc178611c8f4d2d86e79ae ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfint.code.tex" 1557692582 3063 8c415c68a0f3394e45cfeca0b65f6ee6 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex" 1557692582 521 c70cf6ad609de83a27ee7929eb356332 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex" 1557692582 13391 933cab19c6d27039dbfc487330d1005a ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex" 1557692582 104938 15f2d8bdabd6bf9ca70f62cd8e3d4940 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex" 1557692582 10157 218d58ab074e5bd0d027de45ec64cc00 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex" 1576793519 28176 568b081ec39645f2db1a29fbd0c635e2 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex" 1562964315 9054 388d21239a1b6df2cc8beaae31c976b0 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex" 1557692582 3865 cddf7ddc80f018587c55afdcc79fc333 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex" 1557692582 3177 27d85c44fbfe09ff3b2cf2879e3ea434 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex" 1557692582 10925 df50b8a6e5660a585e3a2bf55726dcc8 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex" 1562964315 7787 1750fc3f164703caf31fc8ea9218c67e ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex" 1557692582 3379 cbd0948a550bd7a495a160ca6beee9ed ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex" 1557692582 92405 bba89470858d7b0788a9c09331c39653 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex" 1576793519 36526 453db1f8626a56b5ebb0fad496d6a39f ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex" 1576793519 8471 b18959397c76e1e582402ab9f592ed9f ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex" 1576793519 21201 46a4dded6619f990ac7347f99fbaac9f ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex" 1557692582 16121 9e240115374a8d489f2f786115df83a9 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex" 1576793519 43259 3e05ba63539916af2eaca603c2eda780 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex" 1578520427 465 1f401ab1e7fc6cb7ede39e96c66531fd ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg" 1557692582 926 70ff613fabeb70f5d1673dc0c93987bd ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def" 1557692582 5546 3586827e6032c95512b2a6682d2979a3 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def" 1562964315 12603 c02869ea216d842c29d52fae8738264e ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex" 1557692582 60269 e86bc0081af83a4ad47e4500ee09a2e4 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex" 1557692582 1896 82c274ff520f9e450ccea4e3ef4edc12 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex" 1557692582 7778 a25a32a10ca820357491d4c7b3ac02ea ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex" 1562964315 23777 cb6c8f02f87d86d621f5cb92c44f4998 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex" 1576793519 36815 f7f1772c398f07af2cb741992963045c ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex" 1562964315 37439 bd44d50aef702b03193f731207931834 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex" 1557692582 4494 7e5ace0ccf59408f2cf63219a5d36927 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex" 1557692582 7250 03b2b9fb5fa38e7ca5cc3c45860fb210 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex" 1576793519 28309 488ccc6c701bbdd1bf671f708757aa5c ""
+ "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def" 1562964315 6286 1bd76fc45da9929ab2a64f51cba3ab6f ""
+ "/usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty" 1576624663 7008 f92eaa0a3872ed622bbf538217cd2ab7 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xkeyval/keyval.tex" 1403829539 2725 fc34ef3ccb37ba15a640e8fca6190bca ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex" 1417732693 19231 26434a5656c684f5ffb1f26f98006baa ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex" 1403829539 7677 6f5ce7c1124cad7ec57d05b2562bd8fe ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xy.sty" 1312310545 4692 1e1bcf75c622af1eefd9169948208302 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xy.tex" 1381187214 115380 413d5f789929a45aab7d12ce0d0aee7d ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyall.tex" 1312310545 1449 24340b6befc66d28ee1ebb657efb5892 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyarrow.tex" 1312310545 22657 990ce136a3cc15728ba417a2e78b25c8 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xycmtip.tex" 1312310545 1374 43fb8dc80dd748631d78096701166d76 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xycolor.tex" 1312310545 4586 edd672434f45626662368282c0322160 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xycurve.tex" 1312310545 109670 d412ee1ff259daefee5e927172e2f9a8 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyframe.tex" 1337903317 24249 186931a828664624939ab0b347e3952c ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xygraph.tex" 1312310545 9619 b7e4d9a6936ba2ad6119a280abde9641 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyidioms.tex" 1312310545 2907 1ee562fde0b53c9cd16f7a604f33fdf0 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyline.tex" 1312310545 10928 c3a572983ccc9fc596b4e9ce454d5652 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xymatrix.tex" 1312310545 22583 25b1e7edeee41f181ee9733429da4a9c ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-co.tex" 1312310545 8442 90cb8a3b00c2081384c1ce988d2ba0a3 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-cu.tex" 1312310545 39762 25a964ebb390bcfcd35c040f477eef1d ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-fr.tex" 1312310545 16485 5686b19cc46d046c885428794ed9c114 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-li.tex" 1312310545 2619 1a12b316e2132654e44ba2cd21def637 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-ro.tex" 1312310545 5290 e16fc85c85f64d0a5c04708bf3312d00 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf.tex" 1312310545 18763 e61049d36bdfccb226f22e582d70d368 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyrecat.tex" 1312310545 1391 c8763fc8e281cb6ecf697988b6608e4a ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyrotate.tex" 1312310545 7008 cb768d8d63a12d35607cbb3c4e7ba163 ""
+ "/usr/share/texlive/texmf-dist/tex/generic/xypic/xytips.tex" 1381187214 3689 0d51788a4141bc66ab896f7ac63495fd ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty" 1513722769 12604 3dec726c041422879dc3268237f09026 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty" 1359763108 5949 3f3fd50a8cc94c3d4cbf4fc66cd3df1c ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty" 1359763108 13829 94730e64147574077f8ecfea9bb69af4 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty" 1523134290 2211 ca7ce284ab93c8eecdc6029dc5ccbd73 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amscd.sty" 1523134290 5309 0c9ef5db85b924cdbb316f080dfd826e ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty" 1523134290 4161 7f6eb9092061a11f87d08ed13515b48d ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty" 1580683321 85660 baee036978c7a91f4e2bba43f05e5945 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty" 1523134290 4116 32e6abd27229755a83a8b7f18e583890 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty" 1523134290 2432 8ff93b1137020e8f21930562a874ae66 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/aobs-tikz/tikzlibraryoverlay-beamer-styles.code.tex" 1389658833 4047 82a015585c1ef210fb6750d6322afa7f ""
+ "/usr/share/texlive/texmf-dist/tex/latex/atveryend/atveryend.sty" 1576191570 19336 ce7ae9438967282886b3b036cfad1e4d ""
+ "/usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty" 1576625391 3935 57aa3c3e203a5c2effb4d2bd2efbc323 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/base/article.cls" 1580683321 20023 e427dd9e17e239bf926ef3aab67fe35e ""
+ "/usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty" 1581632200 4947 0c2888dd88121ae675fc6e82213623ba ""
+ "/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty" 1580683321 5159 892429808d9e0e2b3548aaefd9a06ed0 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty" 1580683321 5050 8933a39ad74377accd18991c5eb90c58 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo" 1580683321 8446 9874cccac5fee462272c582807dbbf56 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/base/textcomp.sty" 1581112666 2821 2c0928feafd5527387e29a1af774d030 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/carlisle/slashed.sty" 1137109962 5327 8b3c95b5f71136add36a4a0bb1507594 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/cite/cite.sty" 1425427964 26218 19edeff8cdc2bcb704e8051dc55eb5a7 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty" 1579991033 13886 d1306dcf79a944f6988e688c1785f9ce ""
+ "/usr/share/texlive/texmf-dist/tex/latex/eso-pic/eso-pic.sty" 1526160256 11991 c1669f88e13f8bb6243df144e456b477 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty" 1548974385 11128 a53805799bebfed6358fc1658a18e41f ""
+ "/usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty" 1578002852 41601 9cf6c5257b1bc7af01a58859749dd37a ""
+ "/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg" 1459978653 1213 620bba36b25224fa9b7e1ccb4ecb76fd ""
+ "/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg" 1465944070 1224 978390e9c2234eab29404bc21b268d1e ""
+ "/usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def" 1515537368 17334 520b9b85ad8a2a48eda3f643e27a5179 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty" 1580683321 16932 04729abe63b66ec59ea56edcd722b058 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty" 1580683321 9067 1b996612394a52e1efe89c8bfe8a5892 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/graphics/lscape.sty" 1580683321 1753 f80abc75c0e3a4915097779c2649cc98 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty" 1580683321 3976 d7fa7d81d2870d509d25b17d0245e735 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty" 1580250785 17914 4c28a13fc3d975e6e81c9bea1d697276 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def" 1579642962 50630 3d9728faf8630190cf601ce2cbe470d9 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty" 1579642962 238752 60dd338d71b6a4ab2192131f73dc908b ""
+ "/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty" 1579642962 13244 0070bcab7b5a88187847128d22faf4d8 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def" 1579642962 14134 32b36577d311ddb6522413c7581ee968 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty" 1137110241 300 12fa6f636b617656f2810ee82cb05015 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd" 1137110241 548 cc4e3557704bfed27c7002773fad6c90 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty" 1575152344 22520 c4c2dab203104295e1e618be7e5c0f5b ""
+ "/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdfmode.def" 1580854751 25404 9d60f463a00d154207ec0048dee27cf0 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty" 1581719662 4381 04628f3002bdd1d9c43ef984fd60ae18 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty" 1581719662 81717 e93576ac4b24ce6e121ebd6ec6cf2893 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg" 1279039959 678 4792914a8f45be57bb98413425e4c7af ""
+ "/usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty" 1575499565 5766 13a9e8766c47f30327caf893ece86ac8 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.ltd.tex" 1546728170 98047 c6fa29828cc60471827afe275c8bd77f ""
+ "/usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.sty" 1546638616 18060 8cf65af2c4529eed91b5d364b50d3ada ""
+ "/usr/share/texlive/texmf-dist/tex/latex/listings/listings.cfg" 1568236792 1830 bbaba8afaf42cc048ec4d4ff73467521 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/listings/listings.sty" 1568236792 80511 830f3f1d3ab7448dd84233e9c2f6462c ""
+ "/usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty" 1568236792 77022 32914f01b528131c47be2a1040d3856d ""
+ "/usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/pgflibrarymatrix.skeleton.code.tex" 1565039202 19612 007f8469df07e9ef0f680e346cc01945 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/tikzlibrarymatrix.skeleton.code.tex" 1565039202 7267 4d597b08b2429acaa1e526052d9509ed ""
+ "/usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty" 1177890616 3878 6aa7c08ff2621006e0603349e40a30a8 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/multirow/multirow.sty" 1559339157 5486 a1d954b09782ba0acd8a8abfd98e1028 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/paralist/paralist.sty" 1485124581 14857 82c76ebe8f06becf69ab309565b2a0cb ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pdflscape/pdflscape.sty" 1575674318 6575 25396d208d8f2b9395d06ef315d5886c ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pdfpages/pdfpages.sty" 1580249532 54071 88f1e37dc9e1f95352061a066ed07263 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pdfpages/pppdftex.def" 1580249532 6418 197ed301e61ce5b7f446e70345a43a62 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pdftexcmds/pdftexcmds.sty" 1574631863 19963 36fd8e818f9f0f32e2db8413d4970122 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty" 1546728038 1090 d20f587ea9464d1841bd0d13d3ff9856 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty" 1288312291 410 5bf12ea7330e5f12c445332a4fe9a263 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty" 1546728038 21013 e98e1aaaf40d31632787c2bd25d24b57 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty" 1546728038 989 2cf3da8e8ec55131c49389428d565e37 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty" 1203877327 339 592cf35cba3d400082b8a9a5d0199d70 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty" 1393459310 306 0796eafca5e159e6ec2167a6d22d81b1 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty" 1393459310 443 0b2e781830192df35c0fd357cf13e26e ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty" 1393459310 348 8927fde343487e003b01a4c2ca34073b ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty" 1203727794 274 4cad6e665cc93ac2ac979039a94fa1e1 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty" 1203877327 325 2bcd023400636339210573e2b3ee298b ""
+ "/usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty" 1156702453 857 6c716f26c5eadfb81029fcd6ce2d45e6 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty" 1576624809 9878 9e94e8fa600d95f9c7731bb21dfb67a4 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty" 1575674187 9715 b051d5b493d9fe5f4bc251462d039e5f ""
+ "/usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cfg" 1522098998 1015 662b4d7ad816b857a598284525f5c75e ""
+ "/usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cls" 1522098998 28890 df75e6d37f47b7e27bff3f37375336b3 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/tools/array.sty" 1580683321 12560 ce3f59ceae9d9a27bfe037d6bf1d903c ""
+ "/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty" 1580683321 10216 5efd55f2010055e7b7875afd6a75be82 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty" 1580683321 4120 d1680a5ff60d0aea9c327e07c030f4e9 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/omltxmi.fd" 1137111002 492 e7f8afe4428797548d4301de03a1b15f ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/omstxsy.fd" 1137111002 329 6ac7e19535b9f1d64e4d8e3f77dc30a3 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/omxtxex.fd" 1137111002 312 11fe1916b0a13a81a05234a6fc7f8738 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/ot1txr.fd" 1137111002 1271 4e3afbd8e832f2f9c7f064894e6e68e4 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/t1txr.fd" 1137111002 1242 cbf8a0d4f750f9833a0bfb05fb39f1cb ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/txfonts.sty" 1206746551 50381 d367461010070c7a491b1f6979ab2062 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxexa.fd" 1137111002 310 1b00b0b05685b816e4c6caccce437e0d ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxmia.fd" 1137111002 334 87436a82076ca2e35cd305f852507afc ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsya.fd" 1137111002 310 cee07e4964749ccbc77d84fc49726a79 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyb.fd" 1137111002 310 8c5467c8932c259af51b0f116c9734bd ""
+ "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyc.fd" 1137111002 310 4b5d6fe830337242ef847b3bff48ba21 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/url/url.sty" 1388531844 12796 8edb7d69a20b857904dd0ea757c14ec9 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty" 1463002160 55589 34128738f682d033422ca125f82e5d62 ""
+ "/usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty" 1417732693 4962 9c1069474ff71dbc47d5006555e352d3 ""
+ "/usr/share/texlive/texmf-dist/web2c/texmf.cnf" 1581979058 38841 ce3692aa899bb693b90b87eaa5d4d84e ""
+ "/usr/share/texmf/web2c/texmf.cnf" 1581979058 38841 ce3692aa899bb693b90b87eaa5d4d84e ""
+ "/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1619433582 4770781 1ed1abab22da9c3e2cc82e4db562318b ""
+ "/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1619433611 8255863 afe1ed795207f6401d11bafd6327aa55 ""
+ "algo_graph.aux" 1621585123 662 b2b94621371df8d9296b8bf5bec1b851 "pdflatex"
+ "algo_graph.out" 1621585122 0 d41d8cd98f00b204e9800998ecf8427e "pdflatex"
+ "algo_graph.tex" 1621585144 5895 0e03594e6e25b7f3671b72694de0d3f4 ""
+ (generated)
+ "algo_graph.out"
+ "algo_graph.pdf"
+ "algo_graph.aux"
+ "algo_graph.log"
diff --git a/buch/papers/multiplikation/tikz_formulas/algo_graph.fls b/buch/papers/multiplikation/tikz_formulas/algo_graph.fls
new file mode 100644
index 0000000..bd1c14e
--- /dev/null
+++ b/buch/papers/multiplikation/tikz_formulas/algo_graph.fls
@@ -0,0 +1,485 @@
+PWD /home/nunigan/Documents/MSE/FS21/SeminarMatrizen/buch/papers/multiplikation/tikz_formulas
+INPUT /etc/texmf/web2c/texmf.cnf
+INPUT /usr/share/texmf/web2c/texmf.cnf
+INPUT /usr/share/texlive/texmf-dist/web2c/texmf.cnf
+INPUT /var/lib/texmf/web2c/pdftex/pdflatex.fmt
+INPUT algo_graph.tex
+OUTPUT algo_graph.log
+INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cls
+INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cls
+INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xkeyval/keyval.tex
+INPUT /dev/null
+INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/size10.clo
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/size10.clo
+INPUT /usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty
+INPUT /usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/jknappen/ec/ecrm1000.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdfmode.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdfmode.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.ltd.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.ltd.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amscd.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amscd.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/textcomp.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/textcomp.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/txfonts.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/txfonts.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xy.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xy.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xy.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyrecat.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyidioms.tex
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xydash10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyatip10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybtip10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybsql10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycirc10.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyall.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyall.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycurve.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycurve.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyframe.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyframe.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycmtip.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycmtip.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xytips.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xytips.tex
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmat10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmbt10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyluat10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xylubt10.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyline.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyline.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyrotate.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyrotate.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycolor.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycolor.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xymatrix.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xymatrix.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyarrow.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyarrow.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xygraph.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xygraph.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-co.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-cu.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-fr.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-li.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-ro.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/paralist/paralist.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/paralist/paralist.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdftexcmds/pdftexcmds.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdftexcmds/pdftexcmds.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def
+INPUT /usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/url/url.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/url/url.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/atbegshi/atbegshi.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/atbegshi/atbegshi.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/atveryend/atveryend.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/atveryend/atveryend.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/array.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/array.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfint.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/carlisle/slashed.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/carlisle/slashed.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pdfpages.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pdfpages.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/eso-pic/eso-pic.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/eso-pic/eso-pic.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pppdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pppdftex.def
+INPUT /usr/share/texlive/texmf-dist/tex/latex/cite/cite.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/cite/cite.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrows.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrows.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/aobs-tikz/tikzlibraryoverlay-beamer-styles.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/aobs-tikz/tikzlibraryoverlay-beamer-styles.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/tikzlibrarymatrix.skeleton.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/tikzlibrarymatrix.skeleton.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/pgflibrarymatrix.skeleton.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/pgflibrarymatrix.skeleton.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfit.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfit.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybackgrounds.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybackgrounds.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex
+INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/multirow/multirow.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/multirow/multirow.sty
+INPUT algo_graph.aux
+INPUT algo_graph.aux
+OUTPUT algo_graph.aux
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omltxmi.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omltxmi.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omstxsy.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omstxsy.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omxtxex.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omxtxex.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxexa.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxexa.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/t1txr.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/t1txr.fd
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii
+INPUT /usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii
+INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/ot1txr.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/ot1txr.fd
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsya.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsya.fd
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyb.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyb.fd
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs7.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs5.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxmia.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxmia.fd
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyc.fd
+INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyc.fd
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty
+INPUT /usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty
+INPUT algo_graph.out
+INPUT algo_graph.out
+INPUT algo_graph.out
+INPUT algo_graph.out
+INPUT ./algo_graph.out
+INPUT ./algo_graph.out
+OUTPUT algo_graph.out
+OUTPUT algo_graph.pdf
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdflscape/pdflscape.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/pdflscape/pdflscape.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/lscape.sty
+INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/lscape.sty
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs5.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txmi.vf
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmri.tfm
+INPUT /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map
+INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txr.vf
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txmi.vf
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxmi.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmri.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txr.vf
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txr.vf
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm
+INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/t1xr.vf
+INPUT algo_graph.aux
+INPUT ./algo_graph.out
+INPUT ./algo_graph.out
+INPUT /usr/share/texlive/texmf-dist/fonts/enc/dvips/base/8r.enc
+INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/rtxr.pfb
+INPUT /usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmr8a.pfb
+INPUT /usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmri8a.pfb
diff --git a/buch/papers/multiplikation/tikz_formulas/algo_graph.pdf b/buch/papers/multiplikation/tikz_formulas/algo_graph.pdf
new file mode 100755
index 0000000..7f5a984
--- /dev/null
+++ b/buch/papers/multiplikation/tikz_formulas/algo_graph.pdf
Binary files differ
diff --git a/buch/papers/multiplikation/tikz_formulas/algo_graph.tex b/buch/papers/multiplikation/tikz_formulas/algo_graph.tex
new file mode 100755
index 0000000..ad4228b
--- /dev/null
+++ b/buch/papers/multiplikation/tikz_formulas/algo_graph.tex
@@ -0,0 +1,140 @@
+\documentclass[border=10pt]{standalone}
+\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry}
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage{times}
+\usepackage{geometry}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{mathrsfs}
+\usepackage{amsfonts}
+\usepackage{amsthm}
+\usepackage{lipsum}
+\usepackage{amscd}
+\usepackage{graphicx}
+\usepackage{fancyhdr}
+\usepackage{textcomp}
+\usepackage{txfonts}
+\usepackage[all]{xy}
+\usepackage{paralist}
+\usepackage[colorlinks=true]{hyperref}
+\usepackage{array}
+\usepackage{tikz}
+\usepackage{slashed}
+\usepackage{pdfpages}
+\usepackage{cite}
+\usepackage{url}
+\usepackage{amsmath,amsfonts,amssymb}
+\usepackage{tikz}
+\usetikzlibrary{arrows,matrix,positioning}
+\usetikzlibrary{overlay-beamer-styles}
+\usetikzlibrary{matrix.skeleton}
+\usetikzlibrary{automata,positioning}
+\usepackage{listings}
+\usepackage{multirow}
+\usepackage{color}
+
+\begin{document}
+
+\begin{tikzpicture}[ampersand replacement=\&]
+
+ \foreach \i in {1,...,4}
+ {
+ \small{
+ \matrix (X\i)[matrix of math nodes,nodes in empty cells,
+ nodes = {draw, minimum size=10mm,
+ anchor=center,
+ inner sep=0pt, outer sep=0pt},
+ column sep=-\pgflinewidth,
+ row sep=-\pgflinewidth,
+ ] at (0,-\i*5)
+ {
+ A_{11}B_{11} \& A_{12}B_{11} \& A_{21}B_{11} \& A_{22}B_{11} \\
+ A_{11}B_{21} \& A_{12}B_{21} \& A_{21}B_{21} \& A_{22}B_{21} \\
+ A_{11}B_{11} \& A_{12}B_{12} \& A_{21}B_{12} \& A_{22}B_{12} \\
+ A_{11}B_{22} \& A_{12}B_{22} \& A_{21}B_{22} \& A_{22}B_{22} \\
+ };}
+
+ \foreach \j in {1,...,7}
+ {
+ \matrix(M\i\j)[matrix of math nodes,nodes in empty cells,
+ nodes = {draw, minimum size=10mm,
+ anchor=center,
+ inner sep=0pt, outer sep=0pt},
+ column sep=-\pgflinewidth,
+ row sep=-\pgflinewidth,
+ ] at (\j*5,-\i*5)
+ {
+ \& \& \& \\
+ \& \& \& \\
+ \& \& \& \\
+ \& \& \& \\
+ };
+ }
+ }
+
+\huge{
+ \node at (-3,-20) {$C_{22}=$};
+ \node at (-3,-15) {$C_{21}=$} ;
+ \node at (-3,-10) {$C_{12}=$} ;
+ \node at (-3,-5) {$C_{11}=$} ;
+
+ \node at (5,-2) {I};
+ \node at (10,-2) {II};
+ \node at (15,-2) {III};
+ \node at (20,-2) {IV};
+ \node at (25,-2) {V};
+ \node at (30,-2) {VI};
+ \node at (35,-2) {VII};
+ }
+
+
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X1-1-1)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X1-2-2)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X2-3-1)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X2-4-2)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X3-1-3)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X3-2-4)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X4-3-3)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X4-4-4)] {};
+
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-4-1)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-1-4)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-4-4)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-1-1)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M14-1-4)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M14-2-4)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M15-4-1)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M15-4-2)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M17-2-4)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M17-4-4)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M17-2-2)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M17-4-2)] {};
+
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M23-3-1)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M23-4-1)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M25-4-1)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M25-4-2)] {};
+
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M32-1-4)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M32-1-3)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M34-1-4)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M34-2-4)] {};
+
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-4-1)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-1-4)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-4-4)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-1-1)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M42-1-4)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M42-1-3)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M43-3-1)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M43-4-1)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M46-1-3)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M46-1-1)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M46-3-3)] {};
+ \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M46-3-1)] {};
+\end{tikzpicture}
+
+
+
+\end{document}