From 34d23ee54b5c4d66f028e3e5243784ab2c819584 Mon Sep 17 00:00:00 2001
From: Proninvv <vladivan1224@gmail.com>
Date: Sat, 21 Mar 2026 21:22:39 +0300
Subject: [PATCH] =?UTF-8?q?=D0=BF=D0=B5=D1=80=D0=B2=D0=B0=D1=8F=20=D0=B2?=
 =?UTF-8?q?=D0=B5=D1=81=D0=B8=D1=8F=20=D1=80=D0=B0=D0=B1=D0=BE=D1=82=D1=8B?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 .../report/document.aux                       |    3 +-
 .../report/document.pdf                       |  Bin 91655 -> 164650 bytes
 .../report/document.synctex.gz                |  Bin 6360 -> 10553 bytes
 .../report/document.tex                       |   48 +-
 .../report/document.toc                       |    1 -
 .../report/plots/Tre1.eps                     | 4352 ++++++++++++++
 .../report/plots/Tree.eps                     | 5139 +++++++++++++++++
 .../report/plots/hasht.eps                    | 4407 ++++++++++++++
 .../report/plots/llist.eps                    | 5082 ++++++++++++++++
 .../report/plots/llist2.eps                   | 4329 ++++++++++++++
 10 files changed, 23356 insertions(+), 5 deletions(-)
 create mode 100644 ProninVV/aufgabe-1-data-structures/report/plots/Tre1.eps
 create mode 100644 ProninVV/aufgabe-1-data-structures/report/plots/Tree.eps
 create mode 100644 ProninVV/aufgabe-1-data-structures/report/plots/hasht.eps
 create mode 100644 ProninVV/aufgabe-1-data-structures/report/plots/llist.eps
 create mode 100644 ProninVV/aufgabe-1-data-structures/report/plots/llist2.eps

diff --git a/ProninVV/aufgabe-1-data-structures/report/document.aux b/ProninVV/aufgabe-1-data-structures/report/document.aux
index 391cf11..ce8bce9 100644
--- a/ProninVV/aufgabe-1-data-structures/report/document.aux
+++ b/ProninVV/aufgabe-1-data-structures/report/document.aux
@@ -10,5 +10,4 @@
 \@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Двоичное дерево поиска}{3}{}\protected@file@percent }
 \@writefile{toc}{\contentsline {section}{\numberline {3}Методика эксперимента}{3}{}\protected@file@percent }
 \@writefile{toc}{\contentsline {section}{\numberline {4}Результаты и анализ}{3}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {section}{\numberline {5}Заключение}{3}{}\protected@file@percent }
-\gdef \@abspage@last{4}
+\gdef \@abspage@last{8}
diff --git a/ProninVV/aufgabe-1-data-structures/report/document.pdf b/ProninVV/aufgabe-1-data-structures/report/document.pdf
index 927339cee56a230ffac56b60b0a7cb7f90db7acc..cbaed040e892af140aab2ef37d9852bb4e2e168e 100644
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diff --git a/ProninVV/aufgabe-1-data-structures/report/document.tex b/ProninVV/aufgabe-1-data-structures/report/document.tex
index d27b9b8..256db59 100644
--- a/ProninVV/aufgabe-1-data-structures/report/document.tex
+++ b/ProninVV/aufgabe-1-data-structures/report/document.tex
@@ -53,10 +53,54 @@
 	
 	\section{Результаты и анализ}
 	Было проведено 5 опытов. 
-	\subsection{Связный список}
+	\subsection*{1. Бинарное дерево поиска (BST) и влияние порядка}
+	
+	\begin{figure}[H]
+		\includegraphics[scale=0.7]{plots/Tree.eps}
+	\end{figure}
+	
+	\begin{figure}[H]
+		\includegraphics[scale=0.7]{plots/Tre1.eps}
+	\end{figure}
+	
+	\begin{itemize}
+		\item \textbf{Деградация на отсортированных данных:} При вставке отсортированных данных время увеличилось с \textbf{0.12с} (1000 эл.) до \textbf{13.24с} (10000 эл.). Рост более чем в 100 раз при увеличении данных в 10 раз указывает на сложность $O(n^2)$ для заполнения. Дерево выродилось в список.
+		\item \textbf{Эффективность на перемешанных данных:} На \texttt{shuffled} данных вставка 10000 элементов заняла всего \textbf{0.03с}. Это подтверждает логарифмическую сложность $O(\log n)$ для сбалансированного дерева.
+	\end{itemize}
+	
+	\subsection*{2. Хеш-таблица: Стабильность и скорость}
+	
+	\begin{figure}[h]
+		\includegraphics[scale=0.7]{plots/hasht.eps}
+	\end{figure}
+	
+	\begin{itemize}
+		\item \textbf{Чувствительность к порядку:} Хеш-таблица показала идентичные результаты как на \texttt{shuffled}, так и на \texttt{sorted} данных (около \textbf{0.16с} для 10000 вставок). Это объясняется тем, что хеш-функция распределяет ключи по бакетам независимо от их исходного порядка.
+		\item \textbf{Превосходство:} На больших объемах хеш-таблица оказалась самой быстрой структурой для поиска и удаления ($\approx 0.001$с), что подтверждает среднюю сложность $O(1)$.
+		\item \textbf{Замечание} так как таблица содержит списки со вставкой в конец, при вставке наблюдается отклонение от линейной зависимости в сторону квадратичной
+	\end{itemize}
+	
+	\subsection*{3. Связный список: Стабильная медлительность}
+	
+	\begin{figure}[h]
+		\includegraphics[scale=0.7]{plots/llist.eps}
+	\end{figure}
+	
+	\begin{itemize}
+		\item \textbf{Поиск и удаление:} Связный список показал худшие результаты среди всех структур на случайных данных. Время поиска при 10000 элементах (\textbf{0.03с}) на два порядка медленнее, чем у хеш-таблицы. Это подтверждает линейную сложность $O(n)$.
+		\item \textbf{Вставка:} Вставка в конец без указателя на хвост дает $O(n^2)$ при заполнении (\textbf{3.04с} на 10000 эл.), что сопоставимо с выродившимся деревом.
+	\end{itemize}
+	
+	\subsection*{Вывод: выбор структуры данных}
+	\begin{enumerate}
+		\item \textbf{Хеш-таблица} — лучший выбор для реальных задач «ключ-значение». Она обеспечивает стабильное $O(1)$ и не зависит от порядка входящих данных. 
+		\item \textbf{BST} — эффективен только при условии случайного распределения данных или использовании самобалансирующихся деревьев. В противном случае велик риск деградации до скорости списка.
+		\item \textbf{Связный список} — в данной реализации неэффективен для поиска и массовой вставки. Его стоит использовать только для специфических задач (стеки, очереди), где работа идет преимущественно с головой списка за $O(1)$.
+	\end{enumerate}
 	
 	
-	\section{Заключение}
+	
+	%\section{Заключение}
 	% Ответ на вопрос о выборе структуры в реальной жизни
 	
 \end{document}
diff --git a/ProninVV/aufgabe-1-data-structures/report/document.toc b/ProninVV/aufgabe-1-data-structures/report/document.toc
index ffb0d6e..c44e383 100644
--- a/ProninVV/aufgabe-1-data-structures/report/document.toc
+++ b/ProninVV/aufgabe-1-data-structures/report/document.toc
@@ -6,4 +6,3 @@
 \contentsline {subsection}{\numberline {2.3}Двоичное дерево поиска}{3}{}%
 \contentsline {section}{\numberline {3}Методика эксперимента}{3}{}%
 \contentsline {section}{\numberline {4}Результаты и анализ}{3}{}%
-\contentsline {section}{\numberline {5}Заключение}{3}{}%
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