diff --git a/content/chapters/part1/1.tex b/content/chapters/part1/1.tex
index 802cd9f..a10765b 100755
--- a/content/chapters/part1/1.tex
+++ b/content/chapters/part1/1.tex
@@ -34,12 +34,9 @@
 	\caption{Search an element in an array using a while loop (bis)}
 	\begin{algorithmic}[1]
 		\Function{Search}{A: Array(n), E: element}
-		\Comment{Version prefered by the professor}
+		\Comment{Version ``preffered" by the professor}
 		\State $i \gets 0$
 		\While {$i < n$ and $A[i] \neq E$}
-		\If {A[i] $ = $ E}
-		\State \Return \True
-		\EndIf
 		\State $i \gets i + 1$
 		\EndWhile
 		\If {$i = n$}
@@ -100,21 +97,21 @@
 		\State $i \gets 0$
 		\State $j \gets 0$
 		\While {$i < n$}
-			\If{$S[i] = M[i]$}
-				\State $i \gets i + 1$
-				\State $j \gets j + 1$
-			\EndIf
-			\If {$j = m$}
-				\State $c \gets c + 1$
-				\State $j \gets table[j-1]$
-			\ElsIf {$j < n$ and $M[j] \neq S[i]$}
-				\If {$j \neq 0$}
-					\State $j \gets table[j-1]$
-				\Else
-					\State $i \gets i + 1$
-				\EndIf
-			\EndIf`
-			\EndWhile
+		\If{$S[i] = M[i]$}
+		\State $i \gets i + 1$
+		\State $j \gets j + 1$
+		\EndIf
+		\If {$j = m$}
+		\State $c \gets c + 1$
+		\State $j \gets table[j-1]$
+		\ElsIf {$j < n$ and $M[j] \neq S[i]$}
+		\If {$j \neq 0$}
+		\State $j \gets table[j-1]$
+		\Else
+		\State $i \gets i + 1$
+		\EndIf
+		\EndIf`
+		\EndWhile
 		\State \Return $c$
 		\EndFunction
 
@@ -123,18 +120,18 @@
 		\State $previous \gets 0$
 		\State $table \gets $ array of zeros of size m
 		\For {$i = 0$; $i < m$; $i++$}
-			\If {$M[i] = M[previous]$}
-				\State $previous \gets previous + 1$
-				\State $table[i] \gets previous$
-				\State $i \gets i + 1$
-			\Else
-				\If {$previous = 0$}
-					\State $previous \gets table[previous - 1]$
-				\Else
-					\State $table[i] \gets 0$
-					\State $i \gets 1$
-				\EndIf
-			\EndIf
+		\If {$M[i] = M[previous]$}
+		\State $previous \gets previous + 1$
+		\State $table[i] \gets previous$
+		\State $i \gets i + 1$
+		\Else
+		\If {$previous = 0$}
+		\State $previous \gets table[previous - 1]$
+		\Else
+		\State $table[i] \gets 0$
+		\State $i \gets 1$
+		\EndIf
+		\EndIf
 		\EndFor
 		\EndFunction
 	\end{algorithmic}
diff --git a/main.pdf b/main.pdf
index 220da96..2c11a42 100644
Binary files a/main.pdf and b/main.pdf differ
diff --git a/main.tex b/main.tex
index c0d587a..974f978 100755
--- a/main.tex
+++ b/main.tex
@@ -80,8 +80,6 @@
 
 \input{content/chapters/include}
 
-\chapter{}
-
 
 % \input{content/conclusion}