diff --git a/codebook/5_String/MainLorentz.cpp b/codebook/5_String/MainLorentz.cpp
index 68aa77d2..52b9ea87 100644
--- a/codebook/5_String/MainLorentz.cpp
+++ b/codebook/5_String/MainLorentz.cpp
@@ -30,4 +30,4 @@ void main_lorentz(const string &s, int sft = 0) {
     if (k1 + k2 >= l)
       add_rep(cntr < nu, cntr, l, k1, k2);
   }
-}
+} // p \in [l, r] => s[p, p + i) = s[p + i, p + 2i)
diff --git a/codebook/codebook.tex b/codebook/codebook.tex
index 23dcadfd..f49a308a 100644
--- a/codebook/codebook.tex
+++ b/codebook/codebook.tex
@@ -37,9 +37,9 @@
 \evensidemargin=0pt
 \hoffset=-42pt
 
-\titlespacing\section{0pt}{-1pt plus 0pt minus 2pt}{-1pt plus 0pt minus 2pt}
-\titlespacing\subsection{0pt}{-1pt plus 0pt minus 2pt}{-1pt plus 0pt minus 2pt}
-\titlespacing\subsubsection{0pt}{-1pt plus 0pt minus 2pt}{-1pt plus 0pt minus 2pt}
+\titlespacing\section{0pt}{-2pt plus 0pt minus 2pt}{-1pt plus 0pt minus 2pt}
+\titlespacing\subsection{0pt}{-2pt plus 0pt minus 2pt}{-1pt plus 0pt minus 2pt}
+\titlespacing\subsubsection{0pt}{-2pt plus 0pt minus 2pt}{-1pt plus 0pt minus 2pt}
 
 
 %\renewcommand\listfigurename{圖目錄}