From f7febd24afe4b7faf2bd8431043ae395ad3e19d9 Mon Sep 17 00:00:00 2001
From: Alexander Vronsky <vronskiy2004@gmail.com>
Date: Wed, 6 Mar 2024 15:16:28 +0300
Subject: [PATCH] Add 2.1.3 lab (Vronsky_A)

---
 2.1.3/Vronsky_A/data.csv                      |   51 +
 2.1.3/Vronsky_A/figures/apparatus.jpg         |  Bin 0 -> 32565 bytes
 2.1.3/Vronsky_A/main.tex                      |  294 ++
 2.1.3/Vronsky_A/processor.ipynb               | 1067 +++++
 .../processor_output/frequencies.pgf          | 3805 +++++++++++++++++
 2.1.3/Vronsky_A/processor_output/gamma.csv    |    2 +
 .../processor_output/measurements_table.csv   |   11 +
 .../processor_output/speed_of_sound.csv       |    2 +
 .../processor_output/speed_of_sound.pgf       | 3795 ++++++++++++++++
 .../processor_output/temperatures.csv         |    6 +
 2.1.3/pdf/Vronsky_A.pdf                       |  Bin 0 -> 275689 bytes
 11 files changed, 9033 insertions(+)
 create mode 100755 2.1.3/Vronsky_A/data.csv
 create mode 100644 2.1.3/Vronsky_A/figures/apparatus.jpg
 create mode 100644 2.1.3/Vronsky_A/main.tex
 create mode 100644 2.1.3/Vronsky_A/processor.ipynb
 create mode 100644 2.1.3/Vronsky_A/processor_output/frequencies.pgf
 create mode 100644 2.1.3/Vronsky_A/processor_output/gamma.csv
 create mode 100644 2.1.3/Vronsky_A/processor_output/measurements_table.csv
 create mode 100644 2.1.3/Vronsky_A/processor_output/speed_of_sound.csv
 create mode 100644 2.1.3/Vronsky_A/processor_output/speed_of_sound.pgf
 create mode 100644 2.1.3/Vronsky_A/processor_output/temperatures.csv
 create mode 100644 2.1.3/pdf/Vronsky_A.pdf

diff --git a/2.1.3/Vronsky_A/data.csv b/2.1.3/Vronsky_A/data.csv
new file mode 100755
index 00000000..cd988197
--- /dev/null
+++ b/2.1.3/Vronsky_A/data.csv
@@ -0,0 +1,51 @@
+measurement_number,temperature,frequency
+1,23.5,448
+2,23.5,660
+3,23.5,874
+4,23.5,1088
+5,23.5,1306
+6,23.5,1522
+7,23.5,1738
+8,23.5,1954
+9,23.5,2170
+10,23.5,2387
+1,35,456
+2,35,671
+3,35,890
+4,35,1109
+5,35,1330
+6,35,1550
+7,35,1771
+8,35,1989
+9,35,2210
+10,35,2431
+1,43,462
+2,43,679
+3,43,899
+4,43,1121
+5,43,1345
+6,43,1568
+7,43,1791
+8,43,2014
+9,43,2238
+10,43,2462
+1,49,466
+2,49,687
+3,49,908
+4,49,1134
+5,49,1359
+6,49,1584
+7,49,1810
+8,49,2034
+9,49,2259
+10,49,2485
+1,57,472
+2,57,694
+3,57,920
+4,57,1146
+5,57,1376
+6,57,1604
+7,57,1831
+8,57,2058
+9,57,2286
+10,57,2515
\ No newline at end of file
diff --git a/2.1.3/Vronsky_A/figures/apparatus.jpg b/2.1.3/Vronsky_A/figures/apparatus.jpg
new file mode 100644
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diff --git a/2.1.3/Vronsky_A/main.tex b/2.1.3/Vronsky_A/main.tex
new file mode 100644
index 00000000..2e27d717
--- /dev/null
+++ b/2.1.3/Vronsky_A/main.tex
@@ -0,0 +1,294 @@
+\documentclass[a4paper,12pt]{article}
+\usepackage[a4paper,top=1.3cm,bottom=2cm,left=1.5cm,right=1.5cm,marginparwidth=0.75cm]{geometry}
+%%% Работа с русским языком
+\usepackage{cmap}					% поиск в PDF
+\usepackage{mathtext}
+\usepackage[T2A]{fontenc}
+\usepackage[utf8]{inputenc}
+\usepackage[english, russian]{babel}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{latexsym}
+\usepackage{physics}
+\usepackage{multirow}
+\usepackage{longtable}
+
+%%% Нормальное размещение таблиц (писать [H] в окружении таблицы)
+\usepackage{float}
+\restylefloat{table}
+
+\usepackage{graphicx}
+\graphicspath{ {./figures}{./processor_output}}
+
+\usepackage{wrapfig}
+\usepackage{tabularx}
+
+\usepackage{pgfplots}
+\pgfplotsset{compat=1.8}
+\def\mathdefault#1{#1}
+\everymath=\expandafter{\the\everymath\displaystyle}
+
+%%% Дополнительная работа с математикой
+\usepackage{amsmath,amsfonts,amssymb,amsthm,mathtools} % AMS
+\usepackage{icomma} % "Умная" запятая: $0,2$ --- число, $0, 2$ --- перечисление
+
+%% Номера формул
+\mathtoolsset{showonlyrefs=true} % Показывать номера только у тех формул, на которые есть \eqref{} в тексте.
+
+%% Шрифты
+\usepackage{euscript}	 % Шрифт Евклид
+\usepackage{mathrsfs} % Красивый матшрифт
+
+%% Свои команды
+\DeclareMathOperator{\sgn}{\mathop{sgn}}
+
+%% Перенос знаков в формулах (по Львовскому)
+\newcommand*{\hm}[1]{#1\nobreak\discretionary{}
+	{\hbox{$\mathsurround=0pt #1$}}{}}
+
+\date{\today}
+
+\usepackage{textcomp}
+\usepackage{gensymb}
+
+\usepackage{indentfirst} % Русская традиция первого отступа
+\usepackage[inline]{enumitem} % работа со списками
+
+%% Импорт csv таблиц
+\usepackage{booktabs}
+\usepackage{colortbl}
+\usepackage{pgf}
+\usepackage{pgfplotstable}
+\pgfplotstableset{col sep=comma, search path=./processor_output}
+\pgfkeys{/pgf/number format/1000 sep={}}
+\newcolumntype{g}{>{\columncolor[gray]{.8}}c}
+
+\usepackage{datatool}
+\DTLloaddb{temperatures}{processor_output/temperatures.csv}
+
+% проверяет наличие аргумента в подстроке
+\usepackage{xstring}
+\newcommand\ifin[2]{\IfSubStr{,#2,}{,#1,}}
+
+\newcommand*{\nth}[2]{%
+  \foreach \x [count=\k] in #1{%
+        \ifnum\k=#2{%
+          \x
+        }\fi%
+    }
+}
+
+\begin{document}
+
+\begin{titlepage}
+	\begin{center}
+		{\large МОСКОВСКИЙ ФИЗИКО-ТЕХНИЧЕСКИЙ ИНСТИТУТ (НАЦИОНАЛЬНЫЙ ИССЛЕДОВАТЕЛЬСКИЙ УНИВЕРСИТЕТ)}
+	\end{center}
+	\begin{center}
+		{\large Физтех-школа прикладной математики и информатики}
+	\end{center}
+
+
+	\vspace{4.5cm}
+	{\huge
+		\begin{center}
+			{\bf Отчёт о выполнении лабораторной работы 2.1.3}\\
+      Определение $ C_p/C_v $ по скорости звука в газе
+		\end{center}
+	}
+	\vspace{2cm}
+	\begin{flushright}
+		{\LARGE Автор:\\ Вронский Александр Сергеевич \\
+			\vspace{0.2cm}
+			Б05-226}
+	\end{flushright}
+	\vspace{8cm}
+	\begin{center}
+		Долгопрудный\\
+		\today
+	\end{center}
+\end{titlepage}
+
+\section{Введение}
+
+\textbf{Цель работы:}
+\begin{enumerate*}[label=\arabic*)]
+  \item измерение частоты колебаний и длины волны при резонансе звуковых колебаний в газе, заполняющем трубу;
+  \item определение показателя адиабаты с помощью уравнения состояния идеального газа.
+\end{enumerate*}
+
+\textbf{В работе используются:} звуковой генератор ГЗ; электронный осциллограф ЭО; микрофон; телефон; теплоизолированная труба, обогреваемая водой из термостата.
+
+\section{Теоретические сведения}
+
+Скорость распространения звуковой волны в газах зависит от показателя адиабаты $ \gamma $. На измерении скорости звука основан один из наиболее точных методов определения показателя адиабаты.
+
+Скорость звука в газах определяется формулой:
+\begin{equation}\label{speed_of_sound}
+  c = \sqrt{\gamma \frac{RT}{\mu}},
+\end{equation}
+где $ R $ -- газовая постоянная, $ T $ -- температура газа, а $ \mu $ -- его молярная масса. Преобразуя эту формулу, найдем
+\begin{equation}\label{gamma}
+  \boxed{\gamma = \frac{\mu}{RT}c^2}
+\end{equation}
+
+Таким образом, для определения показателя адиабаты достаточно измерить температуру газа и скорость распространения звука (молярная масса газа предполагается известной).
+
+Звуковая волна, распространяющаяся вдоль трубы, испытывает многократные отражения от торцов. Если длина трубы $ L $ равна целому числу полуволн, то есть когда \[ L= \frac{n\lambda}{2}, \] где $ \lambda $ -- длина волны звука в трубе, а $ n $ -- любое целое число. Если это условие выполнено, то волна, отраженная от торца трубы, вернувшаяся к ее началу и вновь отраженная, совпадает по фазе с падающей. Совпадающие по фазе волны усиливают друг друга. Амплитуда звуковых колебаний при этом резко возрастает -- наступает резонанс.
+
+Скорость звука $ c $ связана с его частотой $ f $ и длиной волны $ \lambda $ соотношением
+\begin{equation}\label{lambda_f}
+  c=\lambda f.
+\end{equation}
+
+Будем плавно изменять частоту $ f $ звукового генератора, а следовательно, и длину звуковой волны $ \lambda $. Для последовательных резонансов получим:
+\begin{equation}\label{subsequent_resonance}
+  L = \frac{\lambda_1}{2}n = \frac{\lambda_2}{2}(n + 1) = \dots = \frac{\lambda_{k + 1}}{2}(n + k).
+\end{equation}
+Из \eqref{lambda_f} и \eqref{subsequent_resonance} имеем
+
+\[ f_1 = \frac{c}{\lambda_1} = \frac{c}{2L}n, \quad f_2 = \frac{c}{\lambda_2} = \frac{c}{2L}(n + 1) = f_1 + \frac{c}{2L}, \;\dots, \]
+\begin{equation}\label{freq_coef}
+  f_{k+1} = \frac{c}{\lambda_{k+1}} = \frac{c}{2L}(n + k) = f_1 + \frac{c}{2L}k
+\end{equation}
+
+Таким образом, чтобы определить скорость звука, достаточно найти угловой коэффициент графика зависимости частоты от номера резонанса.
+
+\section{Экспериментальная установка}
+
+В установке (рис. \ref{fig:apparatus}) звуковые колебания в трубе возбуждаются телефоном Т и улавливаются микрофоном М. Мембрана телефона приводится в движение переменным током звуковой частоты; в качестве источника переменной ЭДС используется звуковой генератор ГЗ. Возникающий в микрофоне сигнал наблюдается на осциллографе ЭО.
+
+Микрофон и телефон присоединены к установке через тонкие резиновые трубки. Такая связь достаточна для возбуждения и обнаружения звуковых колебаний в трубе и в то же время мало возмущает эти колебания: при расчетах оба торца трубы можно считать неподвижными, а влиянием соединительных отверстий пренебречь.
+
+Установка содержит теплоизолированную трубу постоянной длины. Воздух в трубе нагревается водой из термостата. Температура газа принимается равной температуре омывающей трубу воды. Таким образом, на установке можно измерить зависимость скорости звука от температуры.
+
+
+\begin{figure}[h]
+  \begin{center}
+    \includegraphics[width=12cm]{apparatus.jpg}
+  \end{center}
+  \caption{Установка для изучения зависимости скорости звука от температуры}
+  \label{fig:apparatus}
+\end{figure}
+
+\section{Ход работы}
+
+В установке была использована труба длины $ L = 800 \pm 1 $ мм. При фиксированной температуре плавно будем плавно увеличивать частоту звукового сигнала, начиная с $ \approx 400 $ Гц. На экране осциллографа резонанс будет выражен многократным увеличением амплитуды. Запишем частоты $ \hat{f}_k $ последовательных резонансов, а также ``приведенные'' частоты $ f_k = \hat{f}_k - f_1 $. Результаты измерений приведены в таблице \ref{tab:freq}. Погрешность измерений частоты $ \hat{f}_K $ составила $ \pm 1 $ Гц, поэтому погрешность $ f_k $ порядка $ \pm 2 $ Гц.
+
+% получить значения температур
+\def\mylist{}
+\DTLforeach{temperatures}{\temp=temperature}{
+  \ifdefempty{\mylist}
+  {
+    \eappto\mylist{\temp}
+  }
+  {
+    \eappto\mylist{,\temp}%
+  }
+}
+
+\begin{table}[H]
+  \centering
+  \pgfplotstabletypeset[
+    every head row/.style={
+      before row={
+        \toprule \textbf{T, \textcelsius} &
+        \multicolumn{2}{g}{\nth{\mylist}{1}} &
+        \multicolumn{2}{c}{\nth{\mylist}{2}} &
+        \multicolumn{2}{g}{\nth{\mylist}{3}} &
+        \multicolumn{2}{c}{\nth{\mylist}{4}} &
+        \multicolumn{2}{g}{\nth{\mylist}{5}} \\
+      },
+      after row=\midrule
+    },
+    every last row/.style={after row=\bottomrule},
+    display columns/0/.style={column name=\textbf{k}},
+    every column/.code={
+      \ifin{\pgfplotstablecol}{2,4,6,8,10}
+        {\pgfkeysalso{column name={$f_k$, Гц}}}{}
+      \ifin{\pgfplotstablecol}{1,3,5,7,9}
+        {\pgfkeysalso{column name={$\hat{f}_k$, Гц}}}{}
+      \ifin{\pgfplotstablecol}{1,2,5,6,9,10}
+        {\pgfkeysalso{column type=g}}{}
+    }
+  ]{measurements_table.csv}
+  \caption{Частоты резонанса в воздухе при разных температурах}
+  \label{tab:freq}
+\end{table}
+
+По полученным данным построены графики зависимости частоты резонанса от его номера (рис. \ref{fig:frequencies}).
+
+\begin{figure}[h]
+  \centering
+  \input{processor_output/frequencies.pgf}
+  \caption{График зависимости частоты резонанса от его номера}
+  \label{fig:frequencies}
+\end{figure}
+
+Все аппроксимации были проведены с помощью линейной регрессии со среднеквадратичной функцией потерь. Аппроксимируя зависимость частоты резонанса от его номера функцией и используя формулу \eqref{freq_coef}, вычисляется скорость звука $ c $. Соответствующая зависимость вычисленной скорости звука от температуры приведена в таблице \ref{tab:speed_of_sound} и на графике рис. \ref{fig:speed_of_sound}. После вычисления краевых значений наклона найдена погрешность скорости звука порядка $ \pm 0.95 $ м/с.
+
+\begin{table}[H]
+  \centering
+  \pgfplotstabletypeset[
+    header=has colnames,
+    every head row/.style={
+      before row=\toprule,
+      after row=\midrule
+    },
+    every last row/.style={after row=\bottomrule},
+    every column/.style={string type},
+    every row 0 column 0/.style={postproc cell content/.style={@cell content=\textbf{c, м/с}}},
+    display columns/0/.style={column name={\textbf{T, \textcelsius}}}
+  ]{speed_of_sound.csv}
+  \caption{Скорость звука в воздухе при разных температурах}
+  \label{tab:speed_of_sound}
+\end{table}
+
+\begin{figure}[h]
+  \centering
+  \input{processor_output/speed_of_sound.pgf}
+  \caption{График зависимости скорости звука в воздухе от температуры}
+  \label{fig:speed_of_sound}
+\end{figure}
+
+Заметим, что аппроксимируя полученную зависимость скорости звука от температуры, получим, что при $ T = 20 $ \textcelsius{} предсказанное значение скорости звука равно $ c = 342.2 \pm 0.95 $ м/с, что находится в пределах погрешности в размере $ 0.26 \% $ или $ 0.9 $ м/с от табличного значения $ c = 343.1 $ \textcelsius.
+
+\begin{table}[H]
+  \centering
+  \pgfplotstabletypeset[
+    header=has colnames,
+    every head row/.style={
+      before row=\toprule,
+      after row=\midrule
+    },
+    every last row/.style={after row=\bottomrule},
+    every column/.style={string type},
+    every row 0 column 0/.style={
+      postproc cell content/.style={
+        @cell content=$\boldsymbol{\gamma}$
+      }
+    },
+    display columns/0/.style={column name={\textbf{T, \textcelsius}}},
+    columns/mean/.style={column name=\textbf{Среднее}},
+    columns/std/.style={
+      column name=\textbf{Станд. откл.},
+      postproc cell content/.style={
+        @cell content/.add={$\pm$}{}
+      }
+    },
+  ]{gamma.csv}
+  \caption{Значения показателя адиабаты $ \gamma $ при разных значениях температуры}
+  \label{tab:gamma}
+\end{table}
+
+По формуле \eqref{gamma} рассчитывается $ \gamma $. Результаты вычислений приведены в таблице \ref{tab:gamma}. Кроме статистической погрешности в размере $ \pm 0.002$, также рассчитана погрешность, вытекающая из погрешностей измерения $ \Delta c =  \pm 0.95 $ м/с и $ \Delta T  \pm 0.2 $ \textcelsius{} (погрешность внутреннего термометра термостата) в размере $ \Delta \gamma = 0.008 $. В итоге, рассчитанное значение показателя адиабаты:
+\begin{equation}
+  \boxed{\gamma = 1.391 \pm 0.01}
+\end{equation}
+
+Найденное значение находится в пределах погрешности на уровне теоретически предказанного значения $ \gamma = 1.4 $.
+
+\section{Вывод}
+Способ измерения показателя адиабаты по скорости звука в воздухе показал хорошую точность. В ходе обработки данных также была рассчитана зависимость скорости звука от температуры.
+
+\end{document}
\ No newline at end of file
diff --git a/2.1.3/Vronsky_A/processor.ipynb b/2.1.3/Vronsky_A/processor.ipynb
new file mode 100644
index 00000000..afb14370
--- /dev/null
+++ b/2.1.3/Vronsky_A/processor.ipynb
@@ -0,0 +1,1067 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import scienceplots\n",
+    "import matplotlib\n",
+    "from matplotlib import pyplot as plt\n",
+    "import numpy as np\n",
+    "import pandas as pd\n",
+    "from sklearn.linear_model import LinearRegression\n",
+    "from matplotlib.backends.backend_pgf import FigureCanvasPgf\n",
+    "\n",
+    "matplotlib.backend_bases.register_backend('pdf', FigureCanvasPgf)\n",
+    "\n",
+    "\n",
+    "# use fancy style and tex in plt\n",
+    "plt.style.use(['science', 'russian-font'])\n",
+    "matplotlib.rc('text', usetex = True)\n",
+    "preamble = plt.rcParams.get('text.latex.preamble')\n",
+    "params = {\n",
+    "  'pgf.rcfonts' : False,\n",
+    "  'pgf.texsystem' : 'pdflatex',\n",
+    "  'pgf.preamble' : \"\\n\".join([preamble,r'\\usepackage{textcomp,mathcomp}'])\n",
+    "\n",
+    "}\n",
+    "plt.rcParams.update(params)\n",
+    "plt.rcParams.update({\"axes.grid\" : True, \"grid.linestyle\" : (0, (5, 10))})"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import os\n",
+    "current_dir = os.getcwd().lower()\n",
+    "\n",
+    "output_dir = 'processor_output'\n",
+    "# Create output folder if it does not exist\n",
+    "if (not os.path.exists(f'./{output_dir}')):\n",
+    "    os.makedirs(output_dir)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>measurement_number</th>\n",
+       "      <th>temperature</th>\n",
+       "      <th>frequency</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>1</td>\n",
+       "      <td>23.5</td>\n",
+       "      <td>448</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>2</td>\n",
+       "      <td>23.5</td>\n",
+       "      <td>660</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>3</td>\n",
+       "      <td>23.5</td>\n",
+       "      <td>874</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>4</td>\n",
+       "      <td>23.5</td>\n",
+       "      <td>1088</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>5</td>\n",
+       "      <td>23.5</td>\n",
+       "      <td>1306</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   measurement_number  temperature  frequency\n",
+       "0                   1         23.5        448\n",
+       "1                   2         23.5        660\n",
+       "2                   3         23.5        874\n",
+       "3                   4         23.5       1088\n",
+       "4                   5         23.5       1306"
+      ]
+     },
+     "execution_count": 21,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df = pd.read_csv('data.csv')\n",
+    "df.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th>temperature</th>\n",
+       "      <th>23.5</th>\n",
+       "      <th>23.5shifted</th>\n",
+       "      <th>35.0</th>\n",
+       "      <th>35.0shifted</th>\n",
+       "      <th>43.0</th>\n",
+       "      <th>43.0shifted</th>\n",
+       "      <th>49.0</th>\n",
+       "      <th>49.0shifted</th>\n",
+       "      <th>57.0</th>\n",
+       "      <th>57.0shifted</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>measurement_number</th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>448</td>\n",
+       "      <td>0</td>\n",
+       "      <td>456</td>\n",
+       "      <td>0</td>\n",
+       "      <td>462</td>\n",
+       "      <td>0</td>\n",
+       "      <td>466</td>\n",
+       "      <td>0</td>\n",
+       "      <td>472</td>\n",
+       "      <td>0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>660</td>\n",
+       "      <td>212</td>\n",
+       "      <td>671</td>\n",
+       "      <td>215</td>\n",
+       "      <td>679</td>\n",
+       "      <td>217</td>\n",
+       "      <td>687</td>\n",
+       "      <td>221</td>\n",
+       "      <td>694</td>\n",
+       "      <td>222</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>874</td>\n",
+       "      <td>426</td>\n",
+       "      <td>890</td>\n",
+       "      <td>434</td>\n",
+       "      <td>899</td>\n",
+       "      <td>437</td>\n",
+       "      <td>908</td>\n",
+       "      <td>442</td>\n",
+       "      <td>920</td>\n",
+       "      <td>448</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>1088</td>\n",
+       "      <td>640</td>\n",
+       "      <td>1109</td>\n",
+       "      <td>653</td>\n",
+       "      <td>1121</td>\n",
+       "      <td>659</td>\n",
+       "      <td>1134</td>\n",
+       "      <td>668</td>\n",
+       "      <td>1146</td>\n",
+       "      <td>674</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>5</th>\n",
+       "      <td>1306</td>\n",
+       "      <td>858</td>\n",
+       "      <td>1330</td>\n",
+       "      <td>874</td>\n",
+       "      <td>1345</td>\n",
+       "      <td>883</td>\n",
+       "      <td>1359</td>\n",
+       "      <td>893</td>\n",
+       "      <td>1376</td>\n",
+       "      <td>904</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>6</th>\n",
+       "      <td>1522</td>\n",
+       "      <td>1074</td>\n",
+       "      <td>1550</td>\n",
+       "      <td>1094</td>\n",
+       "      <td>1568</td>\n",
+       "      <td>1106</td>\n",
+       "      <td>1584</td>\n",
+       "      <td>1118</td>\n",
+       "      <td>1604</td>\n",
+       "      <td>1132</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>7</th>\n",
+       "      <td>1738</td>\n",
+       "      <td>1290</td>\n",
+       "      <td>1771</td>\n",
+       "      <td>1315</td>\n",
+       "      <td>1791</td>\n",
+       "      <td>1329</td>\n",
+       "      <td>1810</td>\n",
+       "      <td>1344</td>\n",
+       "      <td>1831</td>\n",
+       "      <td>1359</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>8</th>\n",
+       "      <td>1954</td>\n",
+       "      <td>1506</td>\n",
+       "      <td>1989</td>\n",
+       "      <td>1533</td>\n",
+       "      <td>2014</td>\n",
+       "      <td>1552</td>\n",
+       "      <td>2034</td>\n",
+       "      <td>1568</td>\n",
+       "      <td>2058</td>\n",
+       "      <td>1586</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9</th>\n",
+       "      <td>2170</td>\n",
+       "      <td>1722</td>\n",
+       "      <td>2210</td>\n",
+       "      <td>1754</td>\n",
+       "      <td>2238</td>\n",
+       "      <td>1776</td>\n",
+       "      <td>2259</td>\n",
+       "      <td>1793</td>\n",
+       "      <td>2286</td>\n",
+       "      <td>1814</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>10</th>\n",
+       "      <td>2387</td>\n",
+       "      <td>1939</td>\n",
+       "      <td>2431</td>\n",
+       "      <td>1975</td>\n",
+       "      <td>2462</td>\n",
+       "      <td>2000</td>\n",
+       "      <td>2485</td>\n",
+       "      <td>2019</td>\n",
+       "      <td>2515</td>\n",
+       "      <td>2043</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "temperature         23.5  23.5shifted  35.0  35.0shifted  43.0  43.0shifted  \\\n",
+       "measurement_number                                                            \n",
+       "1                    448            0   456            0   462            0   \n",
+       "2                    660          212   671          215   679          217   \n",
+       "3                    874          426   890          434   899          437   \n",
+       "4                   1088          640  1109          653  1121          659   \n",
+       "5                   1306          858  1330          874  1345          883   \n",
+       "6                   1522         1074  1550         1094  1568         1106   \n",
+       "7                   1738         1290  1771         1315  1791         1329   \n",
+       "8                   1954         1506  1989         1533  2014         1552   \n",
+       "9                   2170         1722  2210         1754  2238         1776   \n",
+       "10                  2387         1939  2431         1975  2462         2000   \n",
+       "\n",
+       "temperature         49.0  49.0shifted  57.0  57.0shifted  \n",
+       "measurement_number                                        \n",
+       "1                    466            0   472            0  \n",
+       "2                    687          221   694          222  \n",
+       "3                    908          442   920          448  \n",
+       "4                   1134          668  1146          674  \n",
+       "5                   1359          893  1376          904  \n",
+       "6                   1584         1118  1604         1132  \n",
+       "7                   1810         1344  1831         1359  \n",
+       "8                   2034         1568  2058         1586  \n",
+       "9                   2259         1793  2286         1814  \n",
+       "10                  2485         2019  2515         2043  "
+      ]
+     },
+     "execution_count": 22,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "measurements_table = df.pivot_table(values='frequency',\n",
+    "                                    index='measurement_number',\n",
+    "                                    columns='temperature').astype('int')\n",
+    "\n",
+    "temperatures = measurements_table.columns \\\n",
+    "          .to_series(name='temperature') \\\n",
+    "          .astype('str') \\\n",
+    "          .replace(to_replace = \"\\.0+$\",value = \"\", regex = True) \\\n",
+    "          .to_csv(f'{output_dir}/temperatures.csv', index=False)\n",
+    "new_cols = [x for col in measurements_table.columns \\\n",
+    "            for x in (col, str(col)+\"shifted\")]\n",
+    "for col in measurements_table.columns:\n",
+    "  col_mnts = measurements_table[col]\n",
+    "  measurements_table[str(col)+\"shifted\"] = col_mnts - col_mnts.min()\n",
+    "\n",
+    "measurements_table = measurements_table[new_cols]\n",
+    "measurements_table.to_csv(f'{output_dir}/measurements_table.csv')\n",
+    "measurements_table"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# subtract minimum frequency for each series of measurements\n",
+    "df.frequency = df.groupby('temperature')['frequency'] \\\n",
+    "                .transform(lambda x: x - min(x))\n",
+    "# measurements in 0-indexation\n",
+    "df.measurement_number = df.measurement_number - 1"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "#### Constants"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# length of the tube (m)\n",
+    "LENGTH = 0.8\n",
+    "LENGTH_ERROR = 0.001\n",
+    "# gas constant\n",
+    "R = 8.31\n",
+    "# 0 celsium in kelvin\n",
+    "TRIPLE_POINT = 273.16\n",
+    "# molar mass of air (g/mol)\n",
+    "MU = 0.029\n",
+    "# thermostat temperature error\n",
+    "TEMP_ERROR = 0.02"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def calculate_min_max_slope(x: pd.Series, y: pd.Series,\n",
+    "                            y_error: pd.Series, fit_intercept=True) -> tuple[int, int]:\n",
+    "  \"\"\"\n",
+    "    Calcucate slope's error\n",
+    "  \"\"\"\n",
+    "\n",
+    "  if fit_intercept:\n",
+    "    pivot = x.mean()\n",
+    "  else:\n",
+    "    pivot = 0\n",
+    "  lm = LinearRegression(fit_intercept=fit_intercept)\n",
+    "  y_pos = y + y_error\n",
+    "  y_neg = y - y_error\n",
+    "\n",
+    "  # max slope\n",
+    "  y = y_pos.copy()\n",
+    "  y[x < pivot] = y_neg[x < pivot]\n",
+    "  lm.fit(np.array(x).reshape(-1, 1), y)\n",
+    "  max_slope = lm.coef_[0]\n",
+    "\n",
+    "  # min slope\n",
+    "  y = y_neg.copy()\n",
+    "  y[x < pivot] = y_pos[x < pivot]\n",
+    "  lm.fit(np.array(x).reshape(-1, 1), y)\n",
+    "  min_slope = lm.coef_[0]\n",
+    "  return (min_slope, max_slope)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 800x500 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "def plot_scatter_trendline(x, y, label, fit_intercept=True):\n",
+    "  \"\"\"\n",
+    "  Plot frequency depending on measurement index\n",
+    "  \"\"\"\n",
+    "  lm = LinearRegression(fit_intercept=fit_intercept)\n",
+    "  lm.fit(np.array(x).reshape(-1, 1), y)\n",
+    "\n",
+    "  x_pred = np.linspace(x.min(), x.max(), 100).reshape(-1, 1)\n",
+    "  y_pred = lm.predict(x_pred)\n",
+    "\n",
+    "  plt.scatter(x, y, s=2, zorder=10)\n",
+    "  plt.plot(x_pred, y_pred, label=label)\n",
+    "  return lm\n",
+    "\n",
+    "speed_of_sound = []\n",
+    "\n",
+    "plt.figure(figsize=(8, 5))\n",
+    "for temperature in df.temperature.unique():\n",
+    "  x = df[df.temperature == temperature].measurement_number\n",
+    "  y = df[df.temperature == temperature].frequency\n",
+    "  lm = plot_scatter_trendline(x, y, label=str(temperature), fit_intercept=False)\n",
+    "\n",
+    "  error = y.copy()\n",
+    "  error = 2\n",
+    "  # calculating speed of sound error (min value and max value)\n",
+    "  min_slope, max_slope = calculate_min_max_slope(x, y, error, fit_intercept=False)\n",
+    "  speed_of_sound.append({\n",
+    "    'temperature': temperature,\n",
+    "    'speed_of_sound': 2 * LENGTH * lm.coef_[0],\n",
+    "    'low_bar': 2 * (LENGTH - LENGTH_ERROR) * min_slope,\n",
+    "    'high_bar': 2 * (LENGTH + LENGTH_ERROR) * max_slope\n",
+    "  })\n",
+    "\n",
+    "speed_of_sound_df = pd.DataFrame(speed_of_sound).set_index('temperature')\n",
+    "\n",
+    "plt.legend(title=\"Температура\" + r\", \\textcelsius\")\n",
+    "plt.xlabel('Номер резонанса')\n",
+    "plt.ylabel(r'Частота резонанса $f_k$, Гц')\n",
+    "plt.savefig(f'{output_dir}/frequencies.pgf')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>speed_of_sound</th>\n",
+       "      <th>low_bar</th>\n",
+       "      <th>high_bar</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>temperature</th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>23.5</th>\n",
+       "      <td>344.112281</td>\n",
+       "      <td>343.177509</td>\n",
+       "      <td>345.048316</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>35.0</th>\n",
+       "      <td>350.517895</td>\n",
+       "      <td>349.575116</td>\n",
+       "      <td>351.461937</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>43.0</th>\n",
+       "      <td>354.672281</td>\n",
+       "      <td>353.724309</td>\n",
+       "      <td>355.621516</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>49.0</th>\n",
+       "      <td>358.321404</td>\n",
+       "      <td>357.368870</td>\n",
+       "      <td>359.275200</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>57.0</th>\n",
+       "      <td>362.503860</td>\n",
+       "      <td>361.546098</td>\n",
+       "      <td>363.462884</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "             speed_of_sound     low_bar    high_bar\n",
+       "temperature                                        \n",
+       "23.5             344.112281  343.177509  345.048316\n",
+       "35.0             350.517895  349.575116  351.461937\n",
+       "43.0             354.672281  353.724309  355.621516\n",
+       "49.0             358.321404  357.368870  359.275200\n",
+       "57.0             362.503860  361.546098  363.462884"
+      ]
+     },
+     "execution_count": 27,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "speed_of_sound_df"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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E9mIjaRsL0tPTw92FqMEsxWGWYjFPcZilOOMhy8PSGWxu3IefNrXi5Lk+6G/MwHfvWoBFc1LC3TU/4yHLsTYmRavv635goIA1GAwABorN7u5uKJVKOBwOqNVqeYqAzWaDSqXy249KpYLD4fArgEfaloiIiGJPS+dxbNzmRM07BzA5bgK+dUc2Hlg1H+mpU8PdNQrRmF2I5XA4UFNTg4KCApSWlsrbVCoVrFYrdDodqquroVarUVRUBEmSgu6nu7s7YNtI2hIREVFs8Hq9eHvfMVTV78Wr73+C2SmJ+Ld7F+OfPpsN5dRJ4e4ejdCYFa0ajQZqtRpGoxFWqxVFRUXo7u6G2+2GTqeDUqlEaWkpUlJShr1ibqgCdSRt29vbsXz5cgCAQqHAhg0bUFJSEtCut7cXDodDfpyZmYmZM2cG3Wdra6tcJE+ZMgWLFi0K2q6npwdOp1N+vHDhQiQlJQVtu3v3bpw9exYAkJqaiuzs7KDtDh8+jI6ODvmxVqtFXFzwQ7t9+3b55/T09CHnzLS3t+Po0aMAgPj4+CFHrE+fPo09e/bIj3NycgJGvX327t2LEydOAACSk5ORm5sbtF1XVxfa2trkx4sXL0ZiYmLQtna7HX19fQCAWbNmISMjI2i7gwcPyktnKBQKLFu2LGg7HnMecx7zQDzmPObj7Zhf6O9H3c6DqKrfC7u7G7nXTMcjK2ZgxbwkxE88gfOnJGAqj/lgkXDM6+vr0dDQgISEBCQmJgYseaXwjvGaCjabDQUFBfB4PNi5cyf0ej08Hs8/OqRQwG63Y+fOnTCZTPJ8VwBISUmBxWLxm24AANXV1SG3BYDCwsKoXvKKiIgoFp0+14dfv+nGpldb0H70JJYvmImH1yzAqsXXRMTFVTQyF9dro76Wg81mQ0rKPyY3++asDl7iKphgxSYA5OXlXVFbIiIiii7Hes7iR1s/wILv/QGP/MoOTaYKf31iNeof1WH19WksWKPEqE8PUKlUfkWlw+GAUqmUh6fz8vIgSRKUSqVcyAYbuna73cjLy5NXHvDtZ/DFW0O1jTUdHR1DfpVCI8MsxWGWYjFPcZilOGOdZdvhHmx6tQW/ebMdExTAN27PwoN35mLujGlj1ofRwvMy0KgXrRqNBsXFxaiurgYANDY2+n2Nb7FYYDQaodVqYbfb5SWvBj+Xn5+P5uZmv3VXy8vLkZ+fj7Kysku2jTWHDx/miS4IsxSHWYrFPMVhluKMVZY72j5FVb0Tf7R/jKuSEvBI4XW4b0UOUpMmj/p7jxWel4HG5EKsoqIi+WffygE+SqUSJpMp6OvUajUqKioC9gEgoCgdri0RERGNb/39Xmx7vxNV9U68u/8Ysmcl4SffWoav3JKJhEkTw909GgNjtnoAjZ2hrjSkkWOW4jBLsZinOMxSnNHI8uz5C/jtO+14dlsL9h/qwQ05V+Hlh5fjc0vTMWFC9M5V5XkZaMxXD4gEWq0WaWlpKCkpCbrUFREREYWX59R5vNjUis2N+3Cs5yw+p0nHw2sW4MacGeHuGo0ys9kMs9mMzs5OvymlMVm0cskrIiKiyNRx7CSee60Fv/yrG339/fjqrWp8585c5MyeHu6u0Ri7uF7j2DMRERGF3fsHulFV78TvdnyE6Ynx+M6duSjV5WBmcvDF6Cn2sGglIiKKdYcOASYTYDAAs2eP2dt6vV7Y9hxCVb0Tf917BHNnTEXFVzX42m1ZmDqZJQr54xlBREQU6w4dAp58EigsHJOi9XzfBVjf68DGbS348GMJmkwVfvHgLSjMuxZxE0f9vkc0TrFoJSIiojFx/PR5/OyNNrzQsA+feM5g1fXX4OmvaXFr7kzetYouiUVrFDpz5gwSEzkHSARmKQ6zFIt5isMsxRkqy87u03j+tX342RutONvbj7U3z8XDd+ViQbpy7Ds5TvC8DBSTY/CdnZ0oLCyE2WwOd1dGxQcffBDuLkQNZikOsxSLeYrDLMW5OMsPP5ZQanoXn/n+H/CLv7bh/pXz8Pf/LsTmdTeyYL2EWD4vzWYzCgsL0dnZ6bc9Jkda09LSuOQVERHRKPB6vfib8wiq6p1o/OAQ0lVT8B9rl+Cbn83G9MT4cHePxgHfOvqFhYV+22OyaCUiIiKx+i70443WE/jBn1/F+wc8WDRHiS2Gm3DvDRmIj4vJL3ZJMBatUSg7OzvcXYgazFIcZikW8xSHWV6Zk2d78au/ufHcqy3o+PQU7rhuFv5QdgfuuG4WL666AjwvA7FojUKpqanh7kLUYJbiMEuxmKc4zPLyHJHOYHPjfvz09Vb0nOnFvTfMwW8eWo7r56rC3bWowPMyEItWIiIiCtn+Qz3YWO/Eb99pR/zECfjm7Vl4YHUu5lw1NdxdoygXk0Wrb/UA30RfIiIiGt67+4+hqt6J+l0HMXN6Ah794iJ8e0UOUqZOCnfXKMqYzWaYzWauHgBw9QAiIiKfvr4+/Li6Gm8BuLW6Go9t2oS4uIHy4EJ/P/5k78TGbU7saPsU86+Zjk3fvgHFN8/F5PiJ4e04RS2uHkBERET+Dh3Cj598Ek+YTPACsJlMAICyf/o2tn7Ui8od3XAdOYFbc2ei9nu3Y/X112DCBF5cReER8hoU7e3teOaZZ+TH77///mj0h4iIiMaKyYS3/q9gBQAvgLdMJiTceAM6/ut/sGiOEm88vgrbHtPhrqVpLFgprEIuWm02G9ra2uTHS5YswdatW0elU3RlWlpawt2FqMEsxWGWYjFPcWI6S4MBtxoMGFyKtuXq8D9P/hJf+dVT+NV3lyMv66qQdxfTWQrGLAOFPD0gNTUVmzdvHs2+kCDHjx8PdxeiBrMUh1mKxTzFieUs7WcmYf+CL+PaeW2Yv78JU1fp8cJvX8KslGmXtb9YzlI0Zhko5JHWHTt2hLSNiIiIIld/vxfbdnXizh/Z8NknXsPfD/ag6nvfQQOA35X/62UXrESjLeSR1uLiYmRnZyMrKwtKpRI2mw1NTU2j2bdRE+1LXiUlJYW7C1GDWYrDLMVinuLESpbnei+g5p0D2LjNiX2f9CA/KxW//u5yfF6bhomCrlOJlSzHQixnOdSSVwqv1+sd4jUBjh8/jtraWkiShKKiImRmZgrv6FgoLCzkkldERBQTPKfO46XXW7G5cT8OS2fwOU06Hl6zADfNm/GPRg4HoNUCdjug0YSvs0SDXFyvjWjJq+TkZKxbt27Eb2qz2QAAkiShubkZxcXF0Pzfh8LhcAAANBoN3G43JEmSn7NardDpdAAApVI57HsMtx8iIqJY8/Gnp/Dcay34xV9dON/Xj5JbMvHdu3Ix/5rkcHeN6LIMOae1qakJW7duFbK0lV6vh0qlQlFREbKysqDX6+XnTCYTtFotFAoFDAYD1Gq13+tSUlKQkpIChUIBhUKBysrKoO8x3H6IiIhixZ6PPLh/8ztY9IM6vPxWO9YXzMfe//kCNt13AwtWGteGHGlduXIlgIEpAa+88gpSUlKwYsWKy3oTi8XiN+o5eNRUq9XC4/EEbJckCRaLBUVFRfK2yspKlJWVBX2PofZDREQU7bxeL9748DCq6p14/e+HMeeqqfhxyVJ84/YsTEuID3f3iIS45PSA5ORk3HvvvQAGRl+PHz8OtVqNJUuWhPwmvq/4gYEC1mAw+D0/VJE5uGC1Wq1+j4NhsUpERLGkt68fr2zvwMZtTuz5SMKSuSn42QM344v5cxA3MeQFgojGhRHNafWNvra3t4949NXhcKCmpgYFBQUoLS2Vt0uSBKvVCgBobm6Wv9q/eNS1u7t72K/8h9oPERFRtDlxphc//0sbnn9tHw52n0bB4tko/4oGty24GgoF71pF0WlEqwcEM5LRV0mSYDQaUVBQII+aSpIkF6gOhwN6vR4ul8vvdQaDARUVFcOOpIayH59FixbJbRUKBTZs2BB06ave3l75Ai8AyMzMxMyZM4Pus7W1Fd3d3QCAKVOmYNGiRUHb9fT0wOl0yo8XLlw45LIWu3fvxtmzZwEM3NwhOzs7aLvDhw+jo6NDfqxWqzFjxoygbbdv3y7/nJ6ejrS0tKDt2tvbcfToUQBAfHz8kBe1nT59Gnv27JEf5+TkQKVSBW27d+9enDhxAsDACH5ubm7Qdl1dXX53X1u8eDESExODtrXb7ejr6wMAzJo1CxkZGUHbHTx4UF46Q6FQYNmyZUHbXXzMr7rqKmRlZQVtG0nHXKvVIi4u+L9BI+WYT5o0CUuXLg3aLpKOOT/ngfg5j4xjrtVqcezEebzQsB8vvdGKU+f6oL9xLh5eswAnP9knt7usY37R6gH8nIf/mJ8/fx433XRTxP+/XeTnvL6+Hg0NDUhISEBiYiI6Oztht9v/0cgriCRJIbVrbGz0AvB6PB6v1+v12u12+TmPx+MF4HW5XH7b1Gr1Jfd7qf0Mdvfdd4fU1/HqvffeC3cXogazFIdZisU8xRkPWToPSt711e96U75l9s5eV+N97GWH92DXKXFvYLd7vcDAn1dgPGQ5XjDLwHot5Akvr7/++rDbkpODX5Fos9mQkpIiP/Z9Ze92u+FwOOQpB4MNrux37twZ0nJXl9oPERHReOL1evGm8wju/e+/IP/RP+P1vx/CD4sWw/mTL+JHJUuRppoi7s1mzwYef3zgT6IIFfKc1qKiIuTn58uPvV4v7HY7urq6hn2dSqXyuxDL4XBAqVRCo9FAkiRUVFTIz9lsNhQVFfkVqQ6HI2jx6duPWq2GWq2+5H6IiIjGg74L/ajb+TE2bnPC7u7GwvRkmEpvRNGNGZgUN3F03nT2bOCJJ0Zn30SChFy0btmyBd3d3cjLy5OLQZPJdMnXaTQaFBcXo7q6GgDQ2Ngoz09QKpXIy8tDZWUllEolXC4XLBZLwD6CXVBVXl6O/Px8lJWVhbyfWDHU/BsaOWYpDrMUi3mKEylZnjrXh9+86camV1vQfvQkbl94Nbb+4LPQLZo9bi6uipQsowGzDDTiC7F27doFj8eDvLw8AMD06dNHpWOjibdxJSKiSHGs5yxMjftRbduPnjO9+NKyOXh4zQIsmcspbhTbrug2rgDkqwLXr18PhUKBF154QVzviIiIYkTb4R48u60FL7/VjokTFPjG7Wo8uDoXGTOmhbtrRBFpREXrgQMH8NRTT8Fut2Pt2rV+662OJ52dnSgsLERJSUnQpa6IiIhGy/bWY6iqd+JPjoOYMT0BZV+4DvetyIFq2uRwd40oIpjNZpjNZnk5M5+QpwesXr0aAGA0GuUbCjzzzDP4wQ9+ILiro4/TA4iIaCz193vx510HUVXvxPbWT5EzezoeuisXX745EwmTRuniKqJx7rKnB3i9XnnBfrfbDY/Hg6eeempcFq1ERERj4ez5C3j57XY8u82JtsMncNO8GfjtP9+Gu5akYcKE8XFxFVGkCLloraioCLjLxeClrIiIiGhA98lzeLGpFZsb9+PTE2dxt/ZamEpvwrLsq8LdNaJxK+SbCwS7LdtQt2qj8Bp8qzq6MsxSHGYpFvMUR2SWB46dxCO/2okF//x7PF33Ib6Qdy0cFZ/Hbx5aHhMFK89LcZhloBGvHkCRr7e3N9xdiBrMUhxmKRbzFEdElrvau1FVvxe/2/ExlFMn4eE1C7BONw8zpicI6OH4wfNSHGYZiEUrERHRZfB6vWj44BNU1TvxpvMoMmdOw9Nf1+Jry9WYMpl/vRKJFpOfqmhf8mrmzJnh7kLUYJbiMEuxmKc4I83yfN8F1L7bgY31Tjg7jyNPnYpffedW3J2XjokTQp51F5V4XooTy1le8ZJX0YRLXhER0UgdP30eL73Rhhca9uGQ5wzuXHINHl6zELfMnzFubrNKNJ5c8R2xiIiIYkln92k891oLfv5GG8719aP45rl46K4FyE1LDnfXiGLKFRWtzzzzDJRKJVQqFXQ6HaZPny6qX0RERGH194882LjNCct7HZg6OQ7rdPOwYdV8zFImhrtrRDHpiorWHTt24LHHHsOSJUvQ1NSElStXiuoXERHRmPN6vfjLh0ewcZsTtj2HkK6agv9YuwTf+mw2khLjw909oph2RUVrbW2t/DMLViIiGq96+/rxux0fYeM2J3Z3eLBojhIvrr8J9yzLQHxcbF9cRRQpQv4kNjU1YfXq1ejp6ZEf+34mIiIaj06e7cVzr7bg+kfqcN/md3BV0mTUla3A2/95F4pvzmTBShRBRvRpfOqpp+R5qytXroTNZhuVTo0235JXZrM53F0ZFRcvEUGXj1mKwyzFYp5X5oh0Bk9Y3seCf/49/u23u3DL/Jl457/uwu/LVuCOz8ziagCXieelOLGcpdlsRmFhYUAGIRetu3btCrhta3Ly+LxyMi0tDXV1dVG5RisAHDx4MNxdiBrMUhxmKRbzvDz7PjmOB3+6HQv/5Q8wNe7H127Lwi+/Ngdb1t+MRXNSwt29cY/npTixnGVJSQnq6uqQlpbmtz3kOa2ZmZnYsGEDKisrkZSUBABob28X20siIiLBvF4v3tl/DFX1Tmzb1YlZykT8v3sW49t3ZEM5dRK2b98e7i4SUQhCLlrvvfdedHV1ISMjA/n5+VAqlVCr1aPZNyIiost2ob8ff7IfxE/qndjp6kJuWjKev/8GrL1pLibHTwx394hohEZ8R6zjx4/DZrNBqVSO2xUDeEcsIqLodfpcH15+qx2bXnXCdeQkbs2diYfXLMCqxddgwgTOVSUaL674jljJycm49957hXaKiIhizKFDgMkEGAzA7NlCdnms5yy22PajuqkVnpPn8cX8a/HTDbdAq04Vsn8iCi/expWIiMbeoUPAk08ChYVXXLS6j5zApldb8Os33QCAb9yWhQfvzEXmzGkiekpEESImi1bfklclJSVRu4IAEVG0a3Z9iqp6J+p2fozUaZPx/c8vxP0r5yE1aXK4u0ZEV8BsNsNsNgcseRWTRatvySsiIhpf+vu92PZ+JzZuc+KdfceQdXUSfvLNfJTcmonESTH5VxpR1PENKhYWFvptv+xP+NatW6FUKrFixYpLtvXdhECSJDQ3N6O4uBgajQYA4HA4AAAajQZutxuSJIX03MXcbjesVivUajXcbjdKS0uhVCov99cjIqIIcvb8Bfz2nXY8u60F+w/14Iacq/Dyw8vxuaXpvLiKKEaMqGh9/fXX5ULS6/Vi586dIRWter0eTU1N0Ol06O7uhl6vh8vlAgCYTCZUV1cDAHQ6HSwWi/y64Z4L9h52ux3AQAG7bt26YdtHs76+PsTFccRBBGYpDrMUK1by9Jw6jxebWrG5cR+O9ZzF5zTp2HTfDbhp3gxh7xErWY4FZikOswwUchpPP/00Ghsb5fVZ3W431q9fH9JrLRaL3wjp4BFQrVYLj8cTsP1Szw3mdrv9HqvV6nF7i1kR7HY7brjhhnB3IyowS3GYpVjRnudHn57Cc6+24Bd/daGvvx9fuVWN79yZi3mzpwt/r2jPciwxS3GYZaCQi1alUomGhgYcP34c7e3tWLJkCbZu3RrSa3U6nfyzxWKBwWAI2Pdw73spNpsNKpXKb5tKpYLD4RhyOgEREUWe3Qe6UVXvxNYdH2F6YjweXD0fhoJ5mJmcGO6uEVGYhVy0qtVqdHR0ICMjAzabDUuWLBnRGzkcDtTU1KCgoAClpaXydkmSYLVaAQDNzc0wGAzynbaGe24wSZKCvmd3d/eI+khERGPP6/Wiac8hVNU78Ze9R5Bx1VQ89RUNvn57FqZO5tejRDQg5P8bSJIEtVoNj8eDtrY2rF69GkqlEvfcc09Ir9doNFCr1TAajbBarSgqKgIAvwum1Go1CgoK5Pmuwz0Xap+DaW9vx/LlywEACoUCGzZsCLr0VW9vrzyHFwAyMzMxc+bMoPtsbW2Vi+QpU6Zg0aJFQdv19PTA6XTKjxcuXIikpKSgbXfv3o2zZ88CAFJTU5GdnR203eHDh9HR0SE/Tk9PD9oOgN89ttPT05GWlha0XXt7O44ePQoAiI+PH3LE+vTp09izZ4/8OCcnJ2DU22fv3r04ceIEgIGbVOTm5gZt19XVhba2Nvnx4sWLkZgYfJTFbrejr68PADBr1ixkZGQEbXfw4EF56QyFQoFly5YFbXfxMU9OTg7aDoisY67Vaoec+xQpx3zixKFvmxlJx5yf80Cj8TmXJAlKAC/+aTue/ZUb7q7z0GSq8IsHb0Fh3rWImzhBbsvP+QB+zgNF8+f87Nmzw85rjZRjLvLv8/r6ejQ0NCAhIQGJiYkBS16N+DauPq+88gp0Ot2wH/ZgbDYbCgoK4PF4oFQq/b7ClyQJKSkpcLlcUKvVwz43WHV1NUwmk3whFgCkpKTAYrH4TU3w4W1ciYjCp+dML/60pQ5febgIt675L1y94hb885oFuDV3JhQKrgRARAMurtcmDNN2WPfee698kdRwbDYbUlJS5Me+gtPtdsPhcGDlypUBr/HNRx3quYsFK0wBIC8v75L9IyKisfFJ92n82293IfehV/DY8y9gFYB8lQs1D9+K5QuuZsFKRMMKuWh99NFHA7ZdfEFVMCqVyq+odDgcUCqV8nSBiooK+TmbzYaioiJ5hYKhnvPtx7dqwMUjr263G3l5eVynlYgoAuw9KMFQ/S4+8/06/PnPzdAcsOKjfU1oBFD165/hx9/5DuBwDNzalYhoCCFPD1CpVOjo6EBSUhJ6enqwYsUKtLe3o6ur65KvtVqt8vyQxsZGVFRUyIWmw+GAzWaDUqmEy+XyK1SHe06v1yM/Px9lZWUABgpVk8mE/Px8NDc349FHHx2yaOX0ACKi0eX1evGm8yiq6vei4YNDSFNNwQOr58Pw1su4+8f/hcZBbQsANADA448DTzwRlv4SUeS5uF4LuWg9fvw4qqurodVqUVpaCpPJhLy8vBHPaY0ELFqJiEZH34V+/KH5Y2zc5oSjvRvXXavEw2sW4N4b5mBS3ETg0CH8x5NP4gmTCV4ACgBPGAz4YWkpMHv2wH9ERAis10JePcDj8eCRRx7BqlWrYLPZMHfuXBw4cGBcFq1ERCTWqXN9+OVfXXju1RZ0fHoKn114NX73g89i5aLZ/nNVZ8/GY5s2AQDeMplwq8Ew8Jh3/iGiSwh5pLW4uBjFxcVwuVzo7u5Gfn4+ampqUFNTM9p9FE6r1SItLQ0lJSVBl7oa79ra2oZcToNGhlmKwyzFipQ8jx4/g82N+/FiUyt6zvTinmVz8NCaBVgyN/hSOTKHA9BqAbsdCPNNYCIly2jALMWJ5SzNZjPMZjM6Ozv9VoYK+UIsl8uFHTt2oKurC16vFzt27Ai4fep4kZaWhrq6uqgsWAGENM+YQsMsxWGWYoU7z/2HevDdl7Zj4b/8Ac+/tg8lt2Tig2cK8dIDt1y6YI0w4c4ymjBLcWI5y5KSEtTV1QWsPRvy9zFbtmzB0qVL/bbt2rVLTO+IiGhceHf/Mfzkz3tRv6sTVycn4F+/uAj3rchBytRJ4e4aEUW5kIvW2tragKL14scUGRISEsLdhajBLMVhlmKNZZ4X+vvxZ0cnquqd2NH2KebNno5N992AL988F5Pjh74D0njBc1McZikOswwUctFqsViQlZUFtVqNFStWjGaf6Apdf/314e5C1GCW4jBLscYizzPn+2B+qx0bt7XAdeQEbp4/AzXfuw13Xp+GCROi50YAPDfFYZbiMMtAIRetdrsdycnJOH78OF588UX5pgHTp08fzf4REdEY6zpxDi827cfmxv3oPnkehXnp2LL+JuRnXRXurhFRDAu5aPUtbZWcnAyv14uysjKkpKTAYDAgLy8PS5YsGa0+EhHRGGg/ehKbXnXiV38buMj2a8vV+M6duVBfnRTmnhERjaBoLS4uhkqlQk1NDYqLi2GxWOQ5re3t7di6dSvuueeeUeuoSJ2dnSgsLIzaJa+IiEbC7u5CVb0Tf2j+GCnTJuF7n1uIdbocXJXEOXVENPYGL3k1WMhFa2NjIyorK/HCCy8Efd53m9bxwLfkFRFRrOrv96Lhg09QVe/EWy1HoZ45Df/9jTx85dZMTJnMhf6JKHx8g4qFhYV+20d0IdbKlSuDPme1WpGSknJlPSQiolF3rvcCat89gI3bWtDSeRx5Wan49Xdvxee16Zg4IeSlu4mIxlzIRevggrWnpwc2m02eDvDII4+I7xldthMnTiApiXPQRGCW4jBLsUaap3TqPF56ow0vNOzDYekM1ixNw0++lY+b583wv83qWJk9G3j88YE/w4znpjjMUhxmGSjkf1Y//fTTmDhxIl588UUUFRWhrKwMGzZsGM2+0WXau3dvuLsQNZilOMxSrFDzPNh1Co++7MCC7/0eP9r6AVZffw12PvU51Hzvdtwyf2Z4ClZgoFh94omIKFp5borDLMVhloFCHmnt6upCd3c3jEYjKioqsHTpUjz99NOj2TciIrpMez7yYGO9E9btHZg2OQ7rC+ZjfcE8XK1MDHfXiIguS8hF67Jly5CcnIyCggJ51QCtVjtqHSMiopHxer1448PDqKp34vW/H8acq6biR19eim/cnoVpCfHh7h4R0RUJuWitqalBd3c37HY7PB4PgIEVBcbj3bGifcmrBQsWhLsLUYNZisMsxRqcZ29fP7bu6EBVvRN7PpJwfUYKXtpwM760bA7iJvLiqkvhuSkOsxQnlrMcaskrhdfr9Yayg7y8POh0Or9tTU1NaG5uFtfLMVJYWMglr4ho3Dtxphc//0sbnn9tHw52n4Zu0Ww8vGYBbl94dfjmqhIRCXJxvRbySOuWLVvkaQE+u3btEtczIiIKySHPabzQsB8vvdGKU+f6oL8xAw/dtQCfmcOlB4koeoVctGZlZeHFF1/E/fffj/fffx81NTV49NFHR7NvREQ0SEvncVTVO1HzzgEkxE/At+7IxgOr5iM9dWq4u0ZENOpCLlrLysrQ3d0Nl8sFu90OjUYDo9E45B2yiIjoynm9Xry97yh+8mcnXtv9CWanJOLfixbj23dkI3nKpHB3j4hozIRctGq1Wqxbtw5PP/00TCYTMjMzsWXLltHsGxFRzLrQ34+6nQdRVb8Xdnc3FqQl44V1N2LtTRmYFDcx3N0jIhpzIRetqampAACNRoPMzEy/beNNtK8eQETj1+lzffj1m25serUF7UdP4rYFV8P6/duxavE1vLiKiGLCUKsHhLwWSnd3NwD/27mGuPBAxElLS0NdXV3UFqx79uwJdxeiBrMUh1kO71jPWfxo6wdY8L0/4JFf2aHJVOGvT6zGnx9didXXpwUUrMxTHGYpDrMUJ5azLCkpQV1dHdLS0vy2hzzS2tbWhvfffx9LliwBMLDclUajCem1NpsNACBJEpqbm1FcXCy/1uFwABgYwXW73ZAkye8532ubm5uxZcsWKJXKoO8x3H5izenTp8PdhajBLMVhlsG1He7Bpldb8Js32zFBAXzj9iw8eGcu5s6YNuzrmKc4zFIcZikOswwUctH61FNP+T0ePOJ6KXq9Hk1NTdDpdOju7oZer4fL5QIAmEwmVFdXAwB0Oh0sFov8OpvNhrKyMgBAZWUlVq5cCbvdHvQ9htsPEVGk2d56DBu3teCP9o9xVVICyr5wHe5bkQPVtMnh7hoRUUQKuWi9EhaLxW/Uc/BoqVarle+wNXi7w+FAeXm5XLQWFRXBaDTC7XZDrVYHvMdQ+4lFKpUq3F2IGsxSHGYJ9Pd7Ub+rE1X1TrzXegzZs5JQ9a1lKLklEwmTRnZxFfMUh1mKwyzFYZaBxqRoHXwnLYvFAoPB4Pd8sCJTo9H4rU4gSRKA4Q9irBerPjk5OeHuQtRgluLEcpZnz1+A+e12PPtqC1oP9eDGnBkwP3wb1ixNw4QJl3dxVSznKRqzFIdZisMsA41J0QoMjJzW1NSgoKAApaWl8nZJkmC1WgEMzFs1GAzySGpRUZHcrqamBjqdbsjCdLj9EBGFQ/fJc3ixqRWbG/fj0xNn8XlNOl64/wbckDMj3F0jIhp3FN7LWAKgp6cHNpsN99xzz4heJ0kSjEYjCgoK5IJUkiS5EHU4HH7zXQe/TqvVwm63D1u0Xmo/PosWLZLbKhQKbNiwIehKAr29vfIFXgCQmZmJmTNnBt1na2urvMLClClTsGjRoqDtenp64HQ65ccLFy5EUlJS0La7d+/G2bNnAQwsL5adnR203eHDh9HR0SE/1mq1iIsL/u+R7du3yz+np6cHXJnn097ejqNHjwIA4uPjh7yo7fTp035XOObk5Aw5Gr53716cOHECAJCcnIzc3Nyg7bq6utDW1iY/Xrx4MRITE4O2tdvt6OvrAwDMmjULGRkZQdsdPHhQXjpDoVBg2bJlQdvxmPOYizjmf3cfRsUrdrzq7MEFL/Dlm+bge3cvQs7s6QFtecwHjPdjzs85jzmPeaCRHvP6+no0NDQgISEBiYmJ6Ozs9LuW6bKKVl/YBQUFI74jls1mQ0FBATweD5RKJRwOhxygJElISUmBy+XyGyU1GAwwGo3DjpyGsh+fwsJC1NXVjajfRESXsqu9G1X1e/G7HR8jeUo8SnXzYCiYhxnTE8LdNSKicefiei3kdVp9du3aBZPJhLa2NiQnJ1+yvc1mQ0pKivzYV0S63W44HI6gqxAMruwrKyvlglWSJHlu62Ch7IeIaDR4vV40fvAJPv9UE257/FU42rvx9Ne1cP7ki/i3exezYCUiEiTkOa0HDhzA3Llz4fF45AJxqGH4wVQqld+FWA6HA0qlEhqNBpIkoaKiQn7OZrOhqKhI/urearVCo9HIBWttba08H9a3H7VaDbVaPex+iIhEO993AZZ3O7BxmxN7Dx6HVq3CL79zKwrz0jFxwojHA4iI6BJCLloNBoM8T9TtdgMAGhsbLzmvVaPRoLi4WF5DtbGxUZ6foFQqkZeXh8rKSiiVSrhcLnl9VbfbDb1e77cvpVIpF63l5eXIz89HWVnZsPuJRUePHh1yrg6NDLMUJ1qyPH76PH72RhteaNiHTzxnsPr6a/Df38jDLfNnjultVqMlz0jALMVhluIwy0AhF62DJ9P6/vQVr5cyeBWAwSsHAANFbbBJwWq1etjbxF5clA61n1jU3t7OE10QZinOeM+ys/s0nn9tH372RivO9vaj+Oa5eHjNAuSmXXqa1GgY73lGEmYpDrMUh1kGCrlo3bJlC5YuXeq3bdeuXcI7REQUST78WEJVvROW9w5g6uQ4rNPNw/qCeZidMiXcXSMiiikhF612ux12ux1r167F9OkDy7ZcXMSOF52dnSgsLERJSUnQpa6IKLZ5vV78zXkEVfVONH5wCOmqKfjP4qX45u1ZSEqMD3f3iIiimtlshtlslpcz8wl5yav169dj8+bNftt8F2eNN9G+5FVvby/i4/kXqwjMUpzxkGXfhX78bsdH2LjNifcPeLBojhIPr1mAe5ZlID4usi6uGg95jhfMUhxmKQ6zDKzXQh5pXbVqVcA2m82G+++/X0zPSJhYP8lFYpbiRHKWJ8/24pd/deG51/bho09PYcVnZuEPZXfgjutmjenFVSMRyXmON8xSHGYpDrMMFHLRWlRU5LfeqtfrxfHjx1m0EtG4dUQ6g82N+/HT11vRc6YXRTdmwPzwbVickXLpFxMR0ZgKuWg1mUxYt26d37ann35aeIeIiEbbvk+O49ltLTC/3Y5JcRPwzduz8ODqXFx71dRwd42IiIYQctF6/PjxgG2Dl7IiIopkXq8X7+4/hqp6J+p3deLq5AQ89qVFuG9FDpRTJ4W7e0REdAkhF62ffvopXnzxRb/VAzIzM0etY0REIlzo78ef7AdRVe9Es6sL86+ZjufuuwHFN8/F5PiJ4e4eERGFKOTLYQ0GAyRJkgvW999/f7T6NOp8S16ZzeZwd4WIRsmZ8314sakVWuOf8LVn38Lk+Imo/d7t2PHjz+Ebt2exYCUiilBmsxmFhYUBS16FXLTabDa4XC758ZIlS7B161ZxPRxDaWlpqKuri9o1Wnfs2BHuLkQNZinIoUPoXLcOOHRo1N/q0xNnUf67PVjwvT/g+7/cicUZKrzx+Cpse0yHu5amYcKEyFwNYKR4borDLMVhluLEcpYlJSWoq6tDWlqa3/aQpwekpqbihRdeEN4xEi/EpXcpBMxSkEOHkPbii8CGDcDs2aPyFq4jJ7BpWwt+89bA7aW/fpsaD67OhfrqpFF5v3DjuSkOsxSHWYrDLAOFXLTu2LED99xzzyW3ERGNpWbXp6iqd6Ju58dInTYZ//L5hbh/ZQ6uSkoId9eIiEigkIvW4uJiZGdnIysrC0qlEjabDU1NTaPZN7pMFw+n0+VjlpGpv9+LV3d3oqreiXf2HUPW1dPwv9/Mx1duzUTipJD/tzau8dwUh1mKwyzFYZaBQv6/+9KlS2G321FbWwtJkvDUU09x9YAIlZ6eHu4uRA1mGVnO9V7Ab985gI31Tuw/1INl2VfhNw8tx+c0aZg4IbJuszraeG6KwyzFYZbiMMtAIxqSUCgUUCgUSElJQWpq6mj1iYjIj+fUefz09VZsbtiHoz1nsWZpOjbddwNumjcj3F0jIqIxEnLR2t7ejoKCAmg0GkiShIqKClgsFixZsmQUuzc6fEtelZSURO0KAkTR4KNPT+H511rw87+40Nffj5JbMvHduxZg3uzp4e4aERGNErPZDLPZHLDkVchF6yuvvIK2tja/bc8888y4LFp9S14RUWT6oMODqvq9eGX7R5ieGI8HVs/H+oJ5mJmcGO6uERHRKPMNKhYWFvptD7loDTZ/Va1WX3nPiIgwsLzL638/jKp6J9748DAyrpqK8q9o8PXb1JiWEB/u7hERUZiFXLS63e6Abc3NzVzyioiuSG9fP17Z3oGN25zY85GEJXNT8LMHbsYX8+cgbmJsXVxFRERDC7lo1el0yM7ORkFBAYCBO2SZTKZR6xhdvo6ODmRkZIS7G1GBWY6enjO9+MVf2vD8a/twsPs0Vi2ejfKvaHDbgquhUETHXatGE89NcZilOMxSHGYZKORhjKVLl6KhoQHJyclITk5GbW0tVqxYMZp9o8t0+PDhcHchajDLK9fX14f/qK7GKgD/UV2Nj4/14N9rdmHh936PH9a+j+ULrsZ7P1qDV35wB25fOIsFa4h4borDLMVhluIwy0AjWvJKrVbjscceAwBMn86rd4noEg4dwo+ffBJPmEzwAmg0mfDSX9ow/7oCfEe3FF8vvhVpqinh7iUREY0DIY+0Hj9+HKtWrUJKSgpSUlKwevXq0ezXqPIteWU2m8PdlVERFxcbdwQaC8zyyng3b8Zb/1ew+szb14TXtv4r/vXIOyxYrwDPTXGYpTjMUpxYztJsNqOwsDBgySuF1+v1DvEaP+vXr4dWq8XatWvh9XphsVjgdrtRXl4+Kh0eTYWFhVzyimgU9V3oxx+aP8ava9+G/U8/xcetrwMAFACeMBjww9JSYPbsgf+IiIiCuLheC7mM12q1WLdunfx43bp1eOWVV0J6rc1mAwBIkoTm5mYUFxdDo9EAABwOBwBAo9HA7XZDkiT5ObfbDavVCrVaDbfbjdLSUiiVyqDvMZK2RDQ6Tp3rw6//5sKmV1tw4NgpfHbh1aj+7c+wvfrHeNtkwq0GAx7btAmI4REEIiK6PCH/zRHs4ojB295///0hbzSg1+vR1NQEnU6H7u5u6PV6uFwuAIDJZEJ1dTWAgRUKLBaL3+vsdjuAgaJ03bp1fs9f/B6htiUisY71nMXmhn3Y0tSKnjO9uGfZHPzqu8uxZK4KAHBnaSlgMgGlpSxYiYjosoT8t4fL5cIzzzwjj176Rk27u7sBDBSfzc3NQV9rsVjk0VMAfiOgWq0WHo8nYPvF68Kq1Wp5xPZiI2lLROK0HurBs6+24OW33IibMAHfvD0LD6yej4wZ08LdNSIiijIhF60WiwU6nc6vsMzMzERbWxskSYIkSUO+VqfT+e3HYDD4PR/sa3ybzQaVSuW3TaVSweFw+BXAI21LRFfuvdZjqKp34s+Og5gxPQHGLyzC/StzkDJ1Uri7RkREUSrkotVkMmHlypVDPt/U1DTs6x0OB2pqalBQUIDS0lJ5uyRJsFqtAAbusGUwGKBWq4csgn0ju4ONpC0RXZ7+fi/+5DiIqnondrR9inmzp2PjPy3Dl2/ORMKkieHuHhERRbmQi9aVK1eip6cHtbW1AIC1a9f6rdU6XEELDFxopVarYTQaYbVaUVRUBAB+F0yp1WoUFBTI812DGW5EN9S27e3tWL58OYCBebkbNmxASUlJQLve3l75QjFgYGR55syZQffZ2toqF8lTpkzBokWLgrbr6emB0+mUHy9cuBBJSUlB2+7evRtnz54FAKSmpiI7Oztou8OHD6Ojo0N+fN1112HatOBfz27fvl3+OT09HWlpaUHbtbe34+jRowCA+Pj4IUesT58+jT179siPc3JyAka9ffbu3YsTJ04AAJKTk5Gbmxu0XVdXF9ra2uTHixcvRmJiYtC2drsdfX19AIBZs2YNefeQgwcPyktnKBQKLFu2LGi7i4/5Nddcg2uvvTZo20g65lqtdsjlUa70mJ853wfz2wfw7DYn2g6fwI3ZqfjPNbNww9wpmKDowumTKiRc4phPaWlB8HQGRNIx5+c8ED/nkXHMR/NzfrHLPebDZRRJx3w8fM4vXLiAZcuWRfwxF/k5r6+vR0NDAxISEpCYmBiw5BW8IXK73d6srCyvXq/3FhQUeLOzs727du0K9eWyxsZGLwCvx+Pxer1er91ul5/zeDxeAF6Xy+U1mUxejUbj91qlUultbGwM2OdI2nq9Xu/dd9894n6PJ++99164uxA1YjnLT3vOep/63QfeuQ9YvUnf+I33qxv/5t3Rduzydma3e73AwJ8kRCyfm6IxS3GYpTjMMrBeC3mk9ZVXXvGrlgHgmWeeGXLFAB+bzQa9Xi9fbKVWqwH84+KplStXys/5qFQq6HQ6mEymgP3l5eUFbBtJWyIa3oFjJ7FpWwt+9TcX+r3A15ar8Z27cpF1dfARBCIiorEQctGamZkZsM1XgA7HV4D6OBwOKJVKaDQaSJKEiooK+TmbzYaioiIolcqAi7Pcbjfy8vLk7b79qNXqgH5c3JaILs3h7kJVvRO/b/4YyqmT8PCaBVinm4cZ0xPC3TUiIqLQi9aLl5UCBi6cuueee4Z9nUajQXFxsbwWa2Njo7yeqlKpRF5eHiorK6FUKuFyufzWVrVYLDAajcjPz0dzc7Pfc+Xl5cjPz0dZWdkl28aaoebK0MhFe5b9/V40fPAJquqdeKvlKDJnTsMzX9fiq8vVmDKZ66lGsmg/N8cSsxSHWYrDLAOFfBvXXbt2Qa/Xo6CgAMDAqKjJZMKKFStGtYOjgbdxpVh3rvcCat89gI3bWtDSeRx56lQ8vGYB7s5Lx8QJE8S/ocMBaLWA3Q5wGToiIgrBZd/GdenSpWhoaJBHTGtra5GSkiK+h0Q0aqRT5/HSG214oWEfDktncOeSa/C/38zHLfNnBL3rnTCzZwOPPz7wJxER0WUIeaT10UcfRXl5ud+21atX47XXXhuVjo0mrVaLtLQ0lJSUBF3qiijafPzpKTzfsA8//0sbzvf148u3ZOK7d+YiNy053F0jIiLyYzabYTab0dnZKU8pBUZQtKpUKnR0dCApKQk9PT1YsWIF2tvb0dXVNWqdHi2cHkCxYs9HHmysd8K6vQPTJsfhvpU5WF8wH7OUwdfJIyIiihSXPT2gvb0dmzdvhlarRWlpKUwmE5eUIopAXq8Xb3x4GFX1Trz+98O4NnUK/qt4Kb5xexaSEuPD3T0iIqLLEnLR6vF48Mgjj2DVqlWw2WyYO3cuDhw4gORkfr1IFAl6+/qxdUcHNta34IOPPFg8JwU/XX8zvrRsDuLjRuHiKiIiojEU8t9kRqMRW7duRUFBAUwmE7Zu3Qqj0TiafaPL1NLSEu4uRI3xkOWJM73Y9GoLrn+kDvdvfhczkxPwR+MKvPWfd2LtzXMjpmAdD1mOJ8xTHGYpDrMUh1kGCnmk1eVyYceOHfLjHTt2BF27lcLv+PHj4e5C1IjkLA9LZ7C5cR9+2tSKk+f6oL8xA9+9awEWzYnMVT0iOcvxiHmKwyzFYZbiMMtAIRetW7ZswdKlS/227dq1S3iHiGh4LZ3H8eyrLfjt2+2YHDcB37ojGw+smo/01Knh7hoREdGoGbJoPXDgACRJAjBw5ypfwdrT04Pp06cDQEARO150dnaisLAwape8SkriPeJFiZQsvV4v3t53DFX1e/Hq+59gljIR/3bvYnz7jmwkT5kU7u6FJFKyjBbMUxxmKQ6zFCeWsxy85NVgQy55tWXLFhgMBhgMBuj1evnOV8ePH4fNZoNCobjkLVwjFZe8ovHiQn8//rjzIKrqndjp7sKCtGQ8tGYB1t6UgUlxE8PdPSIiolET8pJXarUadrs9YDQ1OTkZ9957L44fP46tW7eO28KVKJKdPteH37zpxqZXW+A+ehLLF8yE9fu3Y9Xia0b3zlVEREQRasiiddeuXfjBD34w5AuTk5PR3d09Kp0iilXHes5ii20/qpta4Tl5Hl/MvxYvPXALtOrUcHeNiIgorIYsWkNZf9U355WIrozryAls2taCX7/pxgQF8I3bs/DA6lxkzpwW7q4RERFFhCGL1lCWWhiPt3AliiQ72j5FVb0Tf7R/jKuSEvBI4XW4b0UOUpMmh7trREREEWXYkdZnnnlmyCkCL774IlQq1ah1jCha9fd7se39TlTVO/Hu/mPInpWEn3xrGb5ySyYSJvHiKiIiomCGXD0AAFatWgWFQoH169cjMzMTAOB2u2EymQAAr7322tj0UjCtVou0tLSoXfKqu7ub/6AQRGSWZ89fwG/facez21qw/1APbsi5Cg+vWYDPLU3HhAnRf3EVz0uxmKc4zFIcZilOLGc5eMkru90ubx/2/o4NDQ1YuXIl7r33Xmi1Wmg0GhQVFUGj0YzbghUA0tLSUFdXF5UFKwC0traGuwtRQ0SW3SfP4em6v+O67/8BD/1sB+ZdMx2N/14A27+vwt3aa2OiYAV4XorGPMVhluIwS3FiOcuSkhLU1dUhLS3Nb/sl74hVVlaGsrIytLe3A4A84kpEw+s4dhLPvdaCX/7Vjb7+fnzlVjW+c2cu5s2eHu6uERERjTsh38aVxSpRaN4/0I2qeid+t+MjTE+Mx3fuzEWpLgczkxPD3TUiIqJxK+SilcaPRYsWhbsLUSPULL1eL2x7DqGq3om/7j2CuTOmouKrGnzttixMncyPGcDzUjTmKQ6zFIdZisMsA/Fv0yg0ZcqUcHchalwqy/N9F2B9rwMbt7Xgw48laDJV+MWDt6Aw71rETRx2ynjM4XkpFvMUh1mKwyzFYZaBYrJo7ezsRGFhYdSuHkCjr+dML372Rhuef60Fn3jOYNX11+Dpr2lxa+5M3maViIjoCgxePWCwYZe8ilaFhYWoq6sLdzdoHPqk+zSeb9iHn73RhjPnL2DtzXPx8F25WJCuDHfXiIiIosrF9dqYjLTabDYAA7d9bW5uRnFxMTQaTUA7o9GIRx99FEqlEgBgtVqh0+kAQN42FIfDAQDQaDRwu92QJCnoexBdjr0HJVTVO2F5twNTJk/EfStysL5gHq5R8esbIiKisTAmk+70ej1UKhWKioqQlZUFvV4f0MbhcKCysjLgdSkpKUhJSYFCoYBCoQho42MymaDVaqFQKGAwGKBWq0fld6HY4fV68be9R3DvM2/ghsfq8be9R/Dk2uux93+/iP8oXsKClYiIaAyNyUirxWLxG/UMNmrqdrv9Ck1JkmCxWFBUVCRvq6ysRFlZWdD30Gq18Hg8Q+6fKFR9F/rx++aPsLG+BbsOdOMz1yqxxXAT7r0hA/FxvLiKiIgoHMbkb2DfV/zAQAFrMBj8nrdarX7Fqc/gbUO1GUypVLJgxT+mStDInDzbixca9mHJI3/EPz3/DpRTJ+GZL12Ld/7rLnz5lkwWrFeI56VYzFMcZikOsxSHWQYas9UDHA4HampqUFBQgNLSUnm7JElBC83B2yRJQnd397Bf+UuSBKvVCgBobm6O6SkCvb294e7CuHJEOgOTbT9ebGpFz5le3HvDHPzmoeW4fq4K27dv52oAgvC8FIt5isMsxWGW4jDLQGNWtGo0GqjVahiNRr9R09raWr8iNhij0YiKioph25SWlsqFrlqtRkFBAVwuV9C27e3tWL58OQBAoVBgw4YNQZe+6u3t9fuXTmZmJmbOnBl0n62treju7gYwsLbaUIsC9/T0wOl0yo8XLlyIpKSkoG13796Ns2fPAgBSU1ORnZ0dtN3hw4fR0dEhPx5uQYjt27fLP6enpwfc19envb0dR48eBQDEx8cPeVHb6dOnsWfPHvlxTk4OVCpV0LZ79+7FiRMnAADJycnIzc0N2q6rqwttbW3y48WLFyMxMfjdpOx2O/r6+gAAs2bNQkZGRtB2Bw8elJfOUCgUWLZsGfYf6sGz25wwv92OuAkT8K3PZqF0RRaOfbQPZ4+0YvsR4Ny5c0H3B0TWMddqtYiLC/5xjpRj7vszmLE65sHwcx7dn/NgLj7m/JwH4uc8/Mfc4/Ggr68v4o+5yM95fX09GhoakJCQgMTExPAveWWz2VBQUACPx4OdO3ciLy9PLjazsrJgt9sDRlm1Wu2QBaiPw+GQD4QkSUhJSYHL5Qo62hrtS161t7fztrtD8Hq9eHf/MVTVO1G/qxNXJydg/ar5uG9FDlKmTgpozyzFYZZiMU9xmKU4zFIcZhmGJa9sNhv0er18kZSviHS73QAGRlp93G43ysvL/ZbE2rlzZ0jLXa1cuVJ+D5+h/oUQ7WL9JA/mQn8//mTvRFX9XjS7ujD/mul47r4bUHzzXEyOnzjk65ilOMxSLOYpDrMUh1mKwywDjXrRqlKp/C7EcjgcUCqVQYenDQZDwFxUh8MRtPj07UetVkOtVvtNH7DZbCgqKuJFWYQz5/vw8lvteHZbC1xHTuCW+TNR+73bsfr6azBhAueqEhERjRejXrRqNBoUFxejuroaANDY2Ai73e7XRpIk+fmKigoYDAa/ojbYV/zl5eXIz89HWVkZlEol8vLyUFlZCaVSCZfLBYvFMoq/FUW6T0+cxRZbK0y2/fCcPI/CvHRsWX8T8rOuCnfXiIiI6DLwNq4UVdxHTmDTqy349ZsD00++fpsaD67Ohfrq4JPjiYiIKDKF5TauRKNtp+tTVNU7UbfzIFKmTcK/fH4h7l+Zg6uSEsLdNSIiIhIgJovWzs5OFBYWoqSkJOhSVzQ+9Pd70fDBJ6iqd+KtlqPIunoa/uebefjKrZlInBSTpzYREdG4ZzabYTabw7/kVSSI9ukBnZ2dQ67XFg3O9V5AzTsH8OyrLWjpPI78rFQ8vGYhPq9Nw8QJYu9aFe1ZjiVmKRbzFIdZisMsxWGWgfUa70sZhQ4ePBjuLowK6dR5/PcfP8Rnvl+HB3+6HeqZ0/Da/9Oh6Yer8IX8a4UXrED0ZhkOzFIs5ikOsxSHWYrDLAPxO1SKeB9/egrPvdaCX/zVhfN9/Si5JRPfvSsX869JDnfXiIiIaIywaKWI9UGHB1X1e/HK9o+QlBCH9QXzsb5gHq5WBr8FHBEREUUvzmmliOL1evH63w+jqt6JNz48jDlXTcWDq+fjG7dnYVpCfLi7R0RERGOES15RROrt68cr2zuwcZsTez6ScH1GCl7acDO+tGwO4iZy6jUREVGsi8milUteRY4TZ3rx87+04fnX9uFg92kULJ6NH5docPvCq6FQ8DarREREsYZLXg3C6QHhd8hzGi807MdLb7Ti1Lk+6G+ci4fXLMB11yrD3TUiIiKKAJweQGHlPCihalsLat85gIT4CfinO3LwwOr5SFNNCXfXiIiIKIKxaKVR5/V68VbLUfyk3omG3Z/gmpRE/LBoMf7pjmwkT5kU7u4RERHROMCiNQr19fUhLi78h7bvQj/qdn6MqnonHO3dWJieDFPpjSi6MQOT4iaGu3shiZQsowGzFIt5isMsxWGW4jDLQLwsOwrZ7fawvv+pc30wNe7D0rI/4pvPvY2kxHhs/cFn8d6P1uArt6rHTcEKhD/LaMIsxWKe4jBLcZilOMwyEEt4EuZYz1mYGvej2rYfPWd68aVlc/Cr7y7HkrmqcHeNiIiIxrmYLFq55JVYbYd78Oy2Frz8VjsmKIBvfjYLD67ORcaMaeHuGhEREY0zQy15FZNFa1paWlQveZWRkTEm77O99Riq6p34k+MgZkxPQNkXrsN9K3KgmjZ5TN5/LIxVlrGAWYrFPMVhluIwS3FiOUvfoGJhYaHf9pgsWqPdrFmzRm3f/f1e/HnXQVTVO7G99VPkzJ6Oqm8tQ8ktmUiYNH7mqoZqNLOMNcxSLOYpDrMUh1mKwywDsWilkJw9fwEvv92OZ7c50Xb4BG6aNwPmh2/DmqVpmDCBd64iIiKi0cWilYbVffIcXmxqxebG/fj0xFncrb0WptKbsCz7qnB3jYiIiGIIi1YK6sCxk3ju1Rb88q8u9HuBry7PxHfuzEX2rOnh7hoRERHFIBat5GdXezeq6vfidzs+hnLqJDy0ZgFKdfMwY3pCuLtGREREMSwmi1YueeXP6/Wi8YNDqKp34m/OI8icOQ3PfF2Lry5XY8rkmDxFiIiIKEyGWvIqJu+I5VvyKloL1ra2tpDane+7gF+/6cYNj9Xj3v/+C06f68OvvnMrdlV+Hut081iwIvQs6dKYpVjMUxxmKQ6zFCeWsywpKUFdXR3S0tL8to9J0Wqz2WCz2WC1WmE0GuFwOIK2MxqNkCRJfuxwOOS2brd7yNf5nq+srITVakVlZaXffmJNV1fXsM8fP30e//vnvfjM9+uwYct7yJgxFdse0+H1x1fhi8vmYOKEmPy3TFCXypJCxyzFYp7iMEtxmKU4zDLQmAyl6fV6NDU1QafTobu7G3q9Hi6Xy6+Nw+FAZWUlHn30UXmbyWRCdXU1AECn08FisQz7Hr779Lrdbqxbt27Y9rGos/s0nnutBT9/ow3n+vpRfPNcPHTXAuSmJYe7a0RERETDGpOi1WKxQKPRyI+VSmVAG7fbDbVa7bdNq9XC4/EM+ZrBrx1MrVbDZrNdfofHuYQE/4um/v6RBxu3OWF5rwNTJ8dhnW4eNqyaj1nKxDD1cPy4OEu6fMxSLOYpDrMUh1mKwywDjUnRqtPp5J8tFgsMBoPf81arFUVFRTAajQGvHa5Y9bHZbFCpVH7bVCoVHA6HX7EcK66//np4vV78de8RVNU7YdtzCOmqKfjP4qX45u1ZSEqMD3cXx43rr78+3F2IGsxSLOYpDrMUh1mKwywDjdmVNg6HAzU1NSgoKEBpaam8XZKkIQtTSZJgtVoBAM3NzTAYDAGjsb52wXR3d19xv4U6dAgwmQCDAZg9e1Teou9CP3634yNU1Tuxu8ODRXOUeHH9TbhnWQbi4zhXlYiIiManMStaNRoN1Go1jEajPLIKALW1tX5F7GClpaVyQatWq1FQUBAwF3Y4QxWz7e3tWL58OQBAoVBgw4YNQVcS6O3t9bv4KzMzEzNnzgy6z9bWVrlInjJlChYtWhTY6NAh4MknsSczE6dzcwEACxcuRFJSUtB97t69G2fPngUApKamIjs7O2i7w4cPo6W1HfXOHrzy/nEcPdmHlZ+ZhbqyFfjsdVdDofjHbVa3b98u/5yenh5wZZ5Pe3s7jh49CgCIj48fcsT69OnT2LNnj/w4JycnYNTbZ+/evThx4gQAIDk5Gbn/l8HFurq6/K6aXLx4MRITg09lsNvt6OvrAzBwn+aMjIyg7Q4ePCgvnaFQKLBs2bKg7YQfcwA9PT1wOp3yY1HHvKOjQ36s1WoRFxf848xjzmPOY+6Px5zHnMc8UCQc8/r6ejQ0NCAhIQGJiYkBS14pvF6vN+irR4nNZkNBQQE8Hg927tyJvLw8uTDNysqC3W6XHw/+el+SJKSkpMDlcgWMtlZXV8NkMskXYgFASkoKLBaL39QEn8LCQtTV1Y3OLzgchwPQagG7HRA0beGIdAYvNO7DT5tacfJcH4puyMBDaxZg0ZwUIfsnIiIiCoeL67VRH2m12WzQ6/XyBVW+gtN38VRtba3c1u12o7y8HMXFxQCAlStXyq/zCVb163Q6mEymgO15eXlifokItO+T49i4rQW/fbsdk+Im4FufzcaDq+cjPXVquLtGREREJNyoF60qlcpvtNPhcECpVAYdnjYYDPK8VUmSUFFRIT9ns9lQVFTkNwqrVCqhVqsDRl7dbrffCG608Hq9eGf/MVTVO7FtVydmKRPx/+5ZjG/fkQ3l1Enh7h4RERHRqBn1olWj0aC4uFheb7WxsdHva3xg4Kt/3/MVFRUwGAzQaDTIy8tDZWUllEolXC6X37qr5eXlyM/PR1lZGYCBVQmMRiPy8/PR3NwcVWu0Xujvx5/sB/GTeid2urqQm5aM5++/AWtvmovJ8RMD2p84cWLIeTU0MsxSHGYpFvMUh1mKwyzFYZaBxnxOayQYL3NaT5/rw8tvtWPTq064jpzE8gUz8fCaBShYdA0mTFAM+brt27fjhhtuENnzmMUsxWGWYjFPcZilOMxSHGYZhjmtNHLHes5ii20/qpta4Tl5Hl/MvxYvbbgFGnVquLtGREREFBYxWbR2dnaisLAQJSUlQZe6ChfXkRPYtK0Fv37TjQkK4Ou3ZeHBO3OROXNauLtGRERENCbMZjPMZnP4l7yKBJE2PaDZ9Smq6p2o2/kxUqdNxvqCebh/5TykJk2+rLfp6enB9OnTRfU6pjFLcZilWMxTHGYpDrMUh1lyekDE6O/3Ytv7ndi4zYl39h1D1tVJ+Mk381FyayYSJ13ZYYn1k1wkZikOsxSLeYrDLMVhluIwy0AsWsdIX18fflxdjbcAXPXEM2iZX4zWI6ewLPsq/Oah5ficJg0TJ/A2q0RERETBsGgdC4cO4cdPPoknTCZ4AeCPZtz66Sm8/chDWHzjQmD27HD3kIiIiCiicWhvLJhMeMtXsP6fxHfrsPgeHRDkTl5ERERE5I9F61gwGHCrwQDfyqoKALcaDAMXZBkM4ewZERER0bgQk9MDxnzJq9mz8dimTQCAt0wm3GowDDyOi8n4iYiIiIY01JJXMTnSmpaWhrq6ujFdozUuLg4/LC1FA4AflpYibhQL1j179ozavmMNsxSHWYrFPMVhluIwS3FiOcuSkhLU1dUhLS3Nb3tMFq3R7vTp0+HuQtRgluIwS7GYpzjMUhxmKQ6zDMSilYiIiIgiHovWKKRSqcLdhajBLMVhlmIxT3GYpTjMUhxmGYhFaxTKyckJdxeiBrMUh1mKxTzFYZbiMEtxmGUgFq1EREREFPFismj1LXllNpvD3RUiIiIiGsRsNqOwsDBgyauYXCjUt+QVEREREUUW3zr6hYWFfttjcqSViIiIiMYXFq1EREREFPFYtI6l2bOBxx8f+HMUHT16dFT3H0uYpTjMUizmKQ6zFIdZisMsA7FoHUuzZwNPPDHqRWt7e/uo7j+WMEtxmKVYzFMcZikOsxSHWQaKyaKVqwcQERERRSauHjAIVw8gIiIiikxDrR4wJkWrzWYDAEiShObmZhQXF0Oj0QS0MxqNePTRR6FUKgEADodDfm1zczO2bNkiP3cxh8MBANBoNHC73ZAkKeh7xIJY/b1HA7MUh1mKxTzFYZbiMEtxmGWgMZkeoNfroVKpUFRUhKysLOj1+oA2DocDlZWVfttsNhvKyspQVlaG/Px8rFy5csj3MJlM0Gq1UCgUMBgMUKvVwn+P8SI+Pj7cXYgazFIcZikW8xSHWYrDLMVhloHGpGi1WCx+/2IINlrqdrv9Ck2Hw4Hy8nL5cVFRERwOB9xud9D30Gq18Hg88Hg8aGxsHHJEloiIiIjGnzEpWnU6nfyzxWKBwWDwe95qtaKoqMhvm0ajwZYtW+THkiQBAFQq1ZDvo1QqWawSERERRaExuxDL4XCgpqYGBQUFKC0tlbdLkjRkoTm4kK2pqYFOpxuyrSRJsFqtAAbmv8b6FAEiIiKiaKLwer3esXozSZJgNBpRUFAgF6TV1dVyEZuVlQW73R5QmEqSBK1WG/S5wW0GX8Cl1+vhcrmCtl20aJHcVqFQYMOGDSgpKQlo19vbK1/gBQCZmZmYOXNm0H22traiu7sbADBlyhQsWrQoaLuenh44nU758cKFC5GUlBS07e7du3H27FkAQGpqKrKzs4O2O3z4MDo6OuTHWq0WcXHB/z2yfft2+ef09HSkpaUFbdfe3i4vbBwfHz/khPDTp09jz5498uOcnJwhR8P37t2LEydOAACSk5ORm5sbtF1XVxfa2trkx4sXL0ZiYmLQtna7HX19fQCAWbNmISMjI2i7gwcPyktnKBQKLFu2LGg7HnMecx7zQDzmPOY85oF4zMUf8/r6ejQ0NCAhIQGJiYno7OyE3W7/RyPvGGtsbPQC8Ho8Hm9jY6PX4/HIz6nVar/HPqWlpV6XyzXsfu12u/yzx+PxAhjyNXffffdl9X28ePnll8PdhajBLMVhlmIxT3GYpTjMUhxmGVivjfqcVpvNhpSUFPmx7yt73wVVtbW1qK6uRnV1NdxuN8rLy/3+NVRZWQmj0Qi1Wg1JkuS5rYM5HI6gKwsMN/81mr3wwgvh7kLUYJbiMEuxmKc4zFIcZikOsww06kWrSqXyuxDL4XBAqVRCo9FAp9OhtLRU/g8ADAaDPHRttVqh0WjkgrW2ttZvCoCv8FWr1aioqJDfw2azoaioaMQXZYm4Q1Yk7MMrYMbHlfYhEnIQsY9IyFLEPiKhD8xS7D6uNM9I+D0ioQ9AdGQpYh+RkKWIfjBLcf2IhCwHG/WiVaPRoLi4WB5Nramp8Z+fgIH5qL41WisqKuSCVK/Xo6CgAAqFAikpKTAajfJrysvL5QuvlEol8vLyUFlZierqajQ3N8NisYy4r5FycCLh9rLRcqJHQ5Yi9hEJfRAhEn6PSOiDCJHwe0RCH0SIlN8jEo6HCJHwe0RCH0SIhN9DZBZjeiFWpLjuuuuQlZUVsL2zs3PIicyhioR9sA/i9hEJfRCxD/ZB3D4ioQ8i9sE+iNtHJPRBxD4ioQ8i9sE+iNtHuPvgcrnw4Ycfyo9jsmglIiIiovFlTG4uQERERER0JVi0EhEREVHEG7M7YpF4DocDNpsNwMBdwLZs2eK3ugIwcCGc2+2GJElDLihMkHOUJAnNzc0oLi6W83K73bBarVCr1XC73SgtLeXtgi9huDx5bl4+o9GIRx99VD7/eG5evouz5Hk5MsPlxfNyZIbLkuflRcZykVgSq6Kiwu9njUYjPy4tLfUC8ALw6nS6oDdtoH9QKpXyDSpMJpNXrVbLzw3O1eVyeYuKisa8f+PNcHny3Lw8drtdvjGLD8/NyxMsS56XIzNcXjwvR2a4LHle+uNI6zjlcDhQXl6OsrIyAEBRURGMRiPcbjfUajW0Wi08Hg8A8F+4IbBYLH7/eh08kjWYWq2WRxFpaEPlCYDn5mXyfbYHPx6M52boLs4S4Hk5UkPlxfNy5IY793he+uOc1nFKo9Fgy5Yt8mPfncIG3wVMqVTyJA/R4BtgWCwWGAwGAANfc198ZzWVSuV31zYKNFSePjw3R8ZqtaKoqMhvG8/NyxMsSx+elyMTLC+el5dnuHOP5+U/cKR1HBv8P96amhrodDr5xJYkSb75QnNzMwwGQ8DIAvlzOByoqalBQUGBfIe2YLcNBoDu7u4x7Nn4FCxPgOfmSEmSFPQvLJ6bIzdUlr7neF6Gbqi8eF6O3HDnHs9Lfyxao4DvpB58p7HBE9/VajUKCgrgcrnC1MPxwXfLYKPROOxoDDB0wUD/MFSePDdHpra21q/ovxSem0MbLkuelyMz0rx4Xg5tuCx5Xvrj9IAoYDQa0djYOOS8It8VnBfPNaJASqUSer0eer1eHpW5eISgu7ubX9WE6OI8AZ6bI2Gz2bB27dqgz/HcHJnhsgR4Xo7UUHnxvBy54c49npf+WLSOc5WVlTAajfLXMpIkweFwYOXKlQFtL55nRANsNhtSUlLkx76vXtxut9/czMHy8vLGpG/j0XB58twcudraWlRXV6O6uhputxvl5eVwOBw8Ny/DUFnyvByZ4fLieTkyw2XJ8zIQpweMY1arVf4KVpIk+asvtVqNiooKuZ3NZkNRURH/pTuEi/9H63A4oFQqg66F53a7kZeXxyyHMVyekiTx3ByBiwsAg8Ew5Jw2npvDGy5LnpcjM9zfMRdnxvNyeMNlyb/LAym8Xq833J2gkXO73cjKyvLbplQq5aUxfDceUCqVcLlcfic+BbJarfJXWo2NjaioqPAbITSZTMjPz0dzc7PfguQU3HB58twcOUmSUF1dDaPRiNLSUhgMBnmxcZ6bIzNUljwvR2a4vHhejsxwWfK89MeilYiIiIgiHue0EhEREVHEY9FKRERERBGPRSsRERERRTwWrUREREQU8Vi0EhEREVHEY9FKRERERBGPRSsRERERRTzeEYuIopbNZoNer0dpaSmysrLkhbmNRiNcLheqq6vR1NQU9O5nNLyCggKo1WpkZWWhq6sL1dXV8iLydrsdAGAymYbdR3V1Nex2O7KyslBWViZvt1qtaG5uRmpqKoB/3ApYrVbzWBHFMBatRBS1JEmC3W6Xi57GxkaoVCqUlpYCAIqLi+F2u1kIjZDb7Zb/MQAMFJk2m82v8KysrLzkflwuF0wmE4xGo7zNYDAA8C94ffdgt1gson4FIhqHWLQSUVTzFazB+G6FSiPjcDjkghUY+MeATqfzazNc7j6SJMn/Af8ofl0ul187jUaDtWvXXnnHiWhc45xWIopaFxdSl9uG/F2cmc1mQ35+/rBtgjEajSgvL5dHWo1GozzSejG9Xn+ZvSWiaKHwer3ecHeCiGgs6PV6qFSqgLmWNpsNDocDarUazc3NqKiogMPhkIupxsZGua3VasW6detgsVigUqmg1+uh0WjkYkuv12Pt2rWoqKiAUqkMum+bzQaDwYCioiJkZWUBAOx2u/wa3/solUq43W5IkiR/9W40GpGamgqlUgmDwQCLxYLGxkZotVqo1Wro9XrodDpYLBZIkgStVouioiIUFBRc9nsOR5IkpKSkwOPxyPu5XAqFIuioLRERAMBLRBQjioqKvKWlpX7bXC6XV61Wy48rKiq8FRUVXq/X6zWZTF6dTud1uVzy875tPqWlpV6TySQ/1ul0Xrvdfsl9l5aWyj8H2y8A+X11Op23sbFRbuejVCr9Xu/7c/DvOLj95b7ncBobG/1+x8vl8Xi8AEJ6TyKKTZweQEQxzWQyQa1Ww2azwWazAQCam5vl541Go7zqgMPhQF5enpB9K5VKv5HJtWvXwmazyfM7PR4P1Go1JEmCUqmEw+GQ2wXj215aWora2loAA6Ogg+eWXu57DkfUyKivb8PNMeb8Y6LYxguxiCim+Qo7X+F1cQGm0+nkaQLd3d0hXWAU6r6HYzQakZWVBZ1OF1B4BnNxMVpdXQ0AfhdMXe57Dsc31UGERx99FCaTKWifbTYbpw0QxTiOtBJRTDMYDNi5c6ffNt8Io28Esri4GAaDYUSjrJfa9+D9A0BtbS10Oh2USiWsVivcbjfKysr8VjiwWq0hv29FRQVUKlXAc6Lf0+FwCCsmy8rKoFKp5IJ7cJ8H95uIYhNHWoko6vkuhvJ9RZ+VlQWNRgOdTgeNRoMtW7agsrJSHl0sKiqCw+FAeXk5gIHRSt9oq8lkws6dO2Gz2aBSqWCz2dDd3Q2dTge3242dO3fCZDKhoqJiyH37NDc3y0Why+WSL/jS6XSoqamRnzMYDDCZTPJ6sm63G1arFZIkobq6OmBkVKPRQKlUBi0mL/c9B5MkCbW1tfJrrVYr1Gq13+/mo9frkZ+fH9JFXcDAdIPq6mq/C85UKlXQfRNRbOHqAUREYeD7Kn4kX9+PRHV1dcC+R/s9g3E4HNi5c+eYvicRRSdODyAiCoPR+Lq7srISbrcbbrc76FSGcHzFrtFogk5TICIaKRatRERjzLeagMlkCukK/VANXhf24q/1R+s9L4UXUBGRKJweQEREREQRjyOtRERERBTxWLQSERERUcRj0UpEREREEY9FKxERERFFvP8PEg6/aabpot4AAAAASUVORK5CYII=",
+      "text/plain": [
+       "<Figure size 800x400 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "def plot_speed_of_sound(df):\n",
+    "  \"\"\"\n",
+    "  Plot speed of sound depending on temperature\n",
+    "  \"\"\"\n",
+    "  x = df.temperature\n",
+    "  y = df.speed_of_sound\n",
+    "  yerr = pd.concat([y - df.low_bar, df.high_bar - y], axis=1)\n",
+    "\n",
+    "  lm = LinearRegression()\n",
+    "  print(0)\n",
+    "  lm.fit(np.array(x).reshape(-1, 1), y)\n",
+    "\n",
+    "  x_pred = np.linspace(x.min(), x.max(), 100).reshape(-1, 1)\n",
+    "  y_pred = lm.predict(x_pred)\n",
+    "\n",
+    "  plt.plot(x_pred, y_pred)\n",
+    "  plt.errorbar(x, y, yerr=yerr.transpose(), xerr=0.2, ls='None', ecolor='red')\n",
+    "  plt.scatter(x, y, s=5, c='black', zorder=10)\n",
+    "  return lm\n",
+    "\n",
+    "\n",
+    "plt.figure(figsize=(8, 4))\n",
+    "speed_of_sound_estimator = plot_speed_of_sound(speed_of_sound_df.reset_index())\n",
+    "\n",
+    "plt.xlabel(r'Температура $T$, \\textcelsius')\n",
+    "plt.ylabel(r'Скорость звука $c$, м/c')\n",
+    "plt.savefig(f'{output_dir}/speed_of_sound.pgf')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th>temperature</th>\n",
+       "      <th>23.5</th>\n",
+       "      <th>35</th>\n",
+       "      <th>43</th>\n",
+       "      <th>49</th>\n",
+       "      <th>57</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>{344.11 $\\pm$ 0.94}</td>\n",
+       "      <td>{350.52 $\\pm$ 0.94}</td>\n",
+       "      <td>{354.67 $\\pm$ 0.95}</td>\n",
+       "      <td>{358.32 $\\pm$ 0.95}</td>\n",
+       "      <td>{362.5 $\\pm$ 0.96}</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "temperature                 23.5                   35                   43  \\\n",
+       "0            {344.11 $\\pm$ 0.94}  {350.52 $\\pm$ 0.94}  {354.67 $\\pm$ 0.95}   \n",
+       "\n",
+       "temperature                   49                  57  \n",
+       "0            {358.32 $\\pm$ 0.95}  {362.5 $\\pm$ 0.96}  "
+      ]
+     },
+     "execution_count": 29,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# Output latex-formatted table (speed_of_sound.csv)\n",
+    "speed_of_sound_df[\"mean_error\"] = \\\n",
+    "  (speed_of_sound_df.high_bar - speed_of_sound_df.low_bar) / 2\n",
+    "speed_of_sound_df_out = speed_of_sound_df.copy() \\\n",
+    "      .reset_index() \\\n",
+    "      .drop(columns=['low_bar', 'high_bar']) \\\n",
+    "      .round(2) \\\n",
+    "      .astype(str) \\\n",
+    "      .replace(to_replace = \"\\.0+$\",value = \"\", regex = True) \\\n",
+    "      .set_index('temperature')\n",
+    "speed_of_sound_df_out =  (\"{\" + speed_of_sound_df_out.speed_of_sound +\n",
+    "    r\" $\\pm$ \" + speed_of_sound_df_out.mean_error + \"}\").to_frame().transpose()\n",
+    "\n",
+    "speed_of_sound_df_out.to_csv(f\"{output_dir}/speed_of_sound.csv\")\n",
+    "speed_of_sound_df_out"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Погрешность скорости звука:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "mean    0.947795\n",
+       "std     0.008868\n",
+       "Name: mean_error, dtype: float64"
+      ]
+     },
+     "execution_count": 30,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "speed_of_sound_df.mean_error.agg(['mean', 'std'])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "At 20 degrees celsium:\n",
+      "342.1975887086136\n",
+      "Difference with real (343.1 celsium):\n",
+      "0.9024112913864428\n",
+      "Error:\n",
+      "0.002630169896200649\n"
+     ]
+    }
+   ],
+   "source": [
+    "c = speed_of_sound_estimator.predict(np.array([[20]]))[0]\n",
+    "print('At 20 degrees celsium:')\n",
+    "print(c)\n",
+    "print('Difference with real (343.1 celsium):')\n",
+    "print(343.1 - c)\n",
+    "print(\"Error:\")\n",
+    "print((343.1 - c) / 343.1)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Показатель адиабаты:\n",
+    "$$ \\gamma = \\frac{\\mu}{RT}c^2 $$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>gamma</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>temperature</th>\n",
+       "      <th></th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>23.5</th>\n",
+       "      <td>1.392959</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>35.0</th>\n",
+       "      <td>1.391365</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>43.0</th>\n",
+       "      <td>1.388496</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>49.0</th>\n",
+       "      <td>1.390820</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>57.0</th>\n",
+       "      <td>1.388986</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                gamma\n",
+       "temperature          \n",
+       "23.5         1.392959\n",
+       "35.0         1.391365\n",
+       "43.0         1.388496\n",
+       "49.0         1.390820\n",
+       "57.0         1.388986"
+      ]
+     },
+     "execution_count": 32,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# calculate isentropic expansion factor\n",
+    "temperature = speed_of_sound_df.index.to_series()\n",
+    "speed_of_sound = speed_of_sound_df.speed_of_sound\n",
+    "gamma = MU * speed_of_sound ** 2 / (R * (temperature + TRIPLE_POINT))\n",
+    "\n",
+    "gamma.name = 'gamma'\n",
+    "gamma = pd.concat([gamma, temperature], axis=1).set_index('temperature')\n",
+    "gamma"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 33,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th>temperature</th>\n",
+       "      <th>23.5</th>\n",
+       "      <th>35</th>\n",
+       "      <th>43</th>\n",
+       "      <th>49</th>\n",
+       "      <th>57</th>\n",
+       "      <th>mean</th>\n",
+       "      <th>std</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>gamma</th>\n",
+       "      <td>1.393</td>\n",
+       "      <td>1.391</td>\n",
+       "      <td>1.388</td>\n",
+       "      <td>1.391</td>\n",
+       "      <td>1.389</td>\n",
+       "      <td>1.391</td>\n",
+       "      <td>0.002</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "temperature   23.5     35     43     49     57   mean    std\n",
+       "gamma        1.393  1.391  1.388  1.391  1.389  1.391  0.002"
+      ]
+     },
+     "execution_count": 33,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# output gamma to gamma.csv\n",
+    "gamma_out = gamma.round(3).reset_index()\\\n",
+    "    .astype(str) \\\n",
+    "    .replace(to_replace = \"\\.0+$\",value = \"\", regex = True) \\\n",
+    "    .set_index('temperature').T\n",
+    "gamma_out['mean'] = gamma.mean()\n",
+    "gamma_out['std'] = gamma.std()\n",
+    "gamma_out = gamma_out.round(3)\n",
+    "gamma_out.to_csv(f'{output_dir}/gamma.csv')\n",
+    "gamma_out"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Погрешность показателя адиабаты:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 34,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.007795491989252491"
+      ]
+     },
+     "execution_count": 34,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "temp_eps = TEMP_ERROR / TRIPLE_POINT\n",
+    "speed_of_sound_eps = speed_of_sound_df.mean_error.mean() / 343.1\n",
+    "gamma_eps = (1 + speed_of_sound_eps) ** 2 / (1 - temp_eps) - 1\n",
+    "gamma_eps * gamma.mean().values[0]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 35,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>gamma</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>mean</th>\n",
+       "      <td>1.390525</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>std</th>\n",
+       "      <td>0.001817</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "         gamma\n",
+       "mean  1.390525\n",
+       "std   0.001817"
+      ]
+     },
+     "execution_count": 35,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# statistical error and mean\n",
+    "gamma.agg(['mean', 'std'])"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "$$ \\gamma = 1.391 \\pm 0.01$$"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "DSIntro",
+   "language": "python",
+   "name": "dsintro"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.10.13"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/2.1.3/Vronsky_A/processor_output/frequencies.pgf b/2.1.3/Vronsky_A/processor_output/frequencies.pgf
new file mode 100644
index 00000000..f7fde392
--- /dev/null
+++ b/2.1.3/Vronsky_A/processor_output/frequencies.pgf
@@ -0,0 +1,3805 @@
+%% Creator: Matplotlib, PGF backend
+%%
+%% To include the figure in your LaTeX document, write
+%%   \input{<filename>.pgf}
+%%
+%% Make sure the required packages are loaded in your preamble
+%%   \usepackage{pgf}
+%%
+%% Also ensure that all the required font packages are loaded; for instance,
+%% the lmodern package is sometimes necessary when using math font.
+%%   \usepackage{lmodern}
+%%
+%% Figures using additional raster images can only be included by \input if
+%% they are in the same directory as the main LaTeX file. For loading figures
+%% from other directories you can use the `import` package
+%%   \usepackage{import}
+%%
+%% and then include the figures with
+%%   \import{<path to file>}{<filename>.pgf}
+%%
+%% Matplotlib used the following preamble
+%%   \def\mathdefault#1{#1}
+%%   \everymath=\expandafter{\the\everymath\displaystyle}
+%%   \usepackage[russian]{babel} \usepackage[utf8]{inputenc} \usepackage[T2A]{fontenc} \usepackage{amsmath} \usepackage{amssymb}
+%%   \usepackage{textcomp,mathcomp}
+%%   \makeatletter\@ifpackageloaded{underscore}{}{\usepackage[strings]{underscore}}\makeatother
+%%
+\begingroup%
+\makeatletter%
+\begin{pgfpicture}%
+\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{6.805402in}{4.301020in}}%
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diff --git a/2.1.3/Vronsky_A/processor_output/gamma.csv b/2.1.3/Vronsky_A/processor_output/gamma.csv
new file mode 100644
index 00000000..28d44342
--- /dev/null
+++ b/2.1.3/Vronsky_A/processor_output/gamma.csv
@@ -0,0 +1,2 @@
+,23.5,35,43,49,57,mean,std
+gamma,1.393,1.391,1.388,1.391,1.389,1.391,0.002
diff --git a/2.1.3/Vronsky_A/processor_output/measurements_table.csv b/2.1.3/Vronsky_A/processor_output/measurements_table.csv
new file mode 100644
index 00000000..777559e0
--- /dev/null
+++ b/2.1.3/Vronsky_A/processor_output/measurements_table.csv
@@ -0,0 +1,11 @@
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+10,2387,1939,2431,1975,2462,2000,2485,2019,2515,2043
diff --git a/2.1.3/Vronsky_A/processor_output/speed_of_sound.csv b/2.1.3/Vronsky_A/processor_output/speed_of_sound.csv
new file mode 100644
index 00000000..d6b1f127
--- /dev/null
+++ b/2.1.3/Vronsky_A/processor_output/speed_of_sound.csv
@@ -0,0 +1,2 @@
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+0,{344.11 $\pm$ 0.94},{350.52 $\pm$ 0.94},{354.67 $\pm$ 0.95},{358.32 $\pm$ 0.95},{362.5 $\pm$ 0.96}
diff --git a/2.1.3/Vronsky_A/processor_output/speed_of_sound.pgf b/2.1.3/Vronsky_A/processor_output/speed_of_sound.pgf
new file mode 100644
index 00000000..9031c409
--- /dev/null
+++ b/2.1.3/Vronsky_A/processor_output/speed_of_sound.pgf
@@ -0,0 +1,3795 @@
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diff --git a/2.1.3/Vronsky_A/processor_output/temperatures.csv b/2.1.3/Vronsky_A/processor_output/temperatures.csv
new file mode 100644
index 00000000..d0bc6a65
--- /dev/null
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@@ -0,0 +1,6 @@
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diff --git a/2.1.3/pdf/Vronsky_A.pdf b/2.1.3/pdf/Vronsky_A.pdf
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