diff --git a/hw/.template/template.fdb_latexmk b/hw/.template/template.fdb_latexmk
index 63b22c2..e845a5b 100644
--- a/hw/.template/template.fdb_latexmk
+++ b/hw/.template/template.fdb_latexmk
@@ -1,7 +1,7 @@
 # Fdb version 4
-["pdflatex"] 1697924961 "/home/rushil/school/math/hw/.template/template.tex" "template.pdf" "template" 1697924961 2
+["pdflatex"] 1698628374 "/home/rushil/school/math/hw/.template/template.tex" "template.pdf" "template" 1698628375 2
   "/etc/texmf/web2c/texmf.cnf" 1693368362 475 c0e671620eb5563b2130f56340a5fde8 ""
-  "/home/rushil/school/math/hw/.template/template.tex" 1697924960 3422 67adde652b16720d48afe1c53ddd7a98 ""
+  "/home/rushil/school/math/hw/.template/template.tex" 1698628374 3422 6677fc2a1cb0845deb57bdfa982e5025 ""
   "/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 ""
   "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1246382020 1004 54797486969f23fa377b128694d548df ""
   "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm" 1246382020 988 bdf658c3bfc2d96d3c8b02cfc1c94c20 ""
@@ -147,8 +147,8 @@
   "/usr/share/texmf/web2c/texmf.cnf" 1681034085 39561 34c98e380bf7c7201ee6a7909aff625a ""
   "/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1693368379 4623455 fa0568a71dd9a288d6c226ee477506c6 ""
   "/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1693368408 7880218 5644a8bb2704ddc1060e0c139ce5389a ""
-  "template.aux" 1697924961 113 7088d71df52be4cd8cdc6b06eb77ab70 "pdflatex"
-  "template.tex" 1697924960 3422 67adde652b16720d48afe1c53ddd7a98 ""
+  "template.aux" 1698628375 113 7088d71df52be4cd8cdc6b06eb77ab70 "pdflatex"
+  "template.tex" 1698628374 3422 6677fc2a1cb0845deb57bdfa982e5025 ""
   (generated)
   "template.aux"
   "template.log"
diff --git a/hw/.template/template.log b/hw/.template/template.log
index 018e599..39b57e7 100644
--- a/hw/.template/template.log
+++ b/hw/.template/template.log
@@ -1,4 +1,4 @@
-This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Debian) (preloaded format=pdflatex 2023.8.30)  21 OCT 2023 17:49
+This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Debian) (preloaded format=pdflatex 2023.8.30)  29 OCT 2023 21:12
 entering extended mode
  restricted \write18 enabled.
  file:line:error style messages enabled.
diff --git a/hw/.template/template.pdf b/hw/.template/template.pdf
index d9b45d1..e3bfaf2 100644
Binary files a/hw/.template/template.pdf and b/hw/.template/template.pdf differ
diff --git a/hw/.template/template.tex b/hw/.template/template.tex
index ed03c22..5c1685a 100644
--- a/hw/.template/template.tex
+++ b/hw/.template/template.tex
@@ -120,8 +120,8 @@
 \newcommand{\Not}{\neg}
 \newcommand{\Implies}{\rightarrow}
 \newcommand{\Iff}{\leftrightarrow}
-\newcommand{\union}{\cap}
-\newcommand{\intersection}{\cup}
+\newcommand{\union}{\cup}
+\newcommand{\intersection}{\cap}
 
 \newcommand{\AllIntegers}{\mathbb{Z}}
 \newcommand{\AllNaturals}{\mathbb{N}}