From 8efa0efdb2c94174a9d53c4c29476207c23f202e Mon Sep 17 00:00:00 2001
From: Antti H S Laaksonen <ahslaaks@cs.helsinki.fi>
Date: Sat, 11 Feb 2017 21:38:13 +0200
Subject: [PATCH] Corrections

---
 luku27.tex | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/luku27.tex b/luku27.tex
index d422c0f..df69c16 100644
--- a/luku27.tex
+++ b/luku27.tex
@@ -402,14 +402,14 @@ there will be three steps:
 the left endpoint moves one step to the left,
 and the right endpoint moves two steps to the right.
 
-After each step, we update the
-array \texttt{c}.
+After each step, the array \texttt{c}
+needs to be updated.
 After adding an element $x$,
 we increase the value of 
 $\texttt{c}[x]$ by one
 and if $\texttt{c}[x]=1$ after this,
 we also increase the answer to the query by one.
-In a similar way, after removing an element $x$,
+Similarly, after removing an element $x$,
 we decrease the value of 
 $\texttt{c}[x]$ by one
 and if $\texttt{c}[x]=0$ after this,