From 771b2aff6f48824fce09689b2f2f4f56d8e4b6e6 Mon Sep 17 00:00:00 2001
From: Konstantin Chukharev <lipen00@gmail.com>
Date: Tue, 17 Dec 2024 02:34:40 +0300
Subject: [PATCH] Use minipage for non-breaking block

---
 hw4.tex | 5 +++--
 1 file changed, 3 insertions(+), 2 deletions(-)

diff --git a/hw4.tex b/hw4.tex
index 3fe99ee..6badc3a 100644
--- a/hw4.tex
+++ b/hw4.tex
@@ -225,8 +225,8 @@
         Given a set of elements and constraints of the form $(a,b,c)$, meaning that in any acceptable linear ordering of these elements, $b$~must lie between $a$ and~$c$, determine if there exists such an ordering that satisfies all betweenness constraints.
     \end{enumerate}
 
-    \filbreak
-
+    % use minipage to prevent page break for this block
+    \begin{minipage}{\linewidth}
     \textbf{Guidelines for the reduction:}
     \begin{itemize}
         \item Define logical variables to represent key properties of the problem (e.g., whether a vertex is assigned a specific color, whether an item is placed in a particular bin, etc.).
@@ -234,6 +234,7 @@
         \item Show how a solution to the SAT instance corresponds to a solution of the original problem.
         \item Verify that your reduction captures all valid solutions of the original problem.
     \end{itemize}
+    \end{minipage}
 
     \medskip
     \textbf{Example solution for the Graph Coloring problem:}