{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "ufNWSOg1e9sw"
},
"source": [
"# Headphones v Speakers EMG, Balance, Breathing Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Installing and importing libraries"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 122
},
"colab_type": "code",
"id": "A1xoIBZlfDod",
"outputId": "13375b50-ec95-4933-cd35-4cde5d931070"
},
"outputs": [],
"source": [
"# Install pip packages in the current Jupyter kernel\n",
"import sys"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "gI8U9n_1fP8H"
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"\n",
"import matplotlib\n",
"\n",
"%matplotlib inline\n",
"\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import math\n",
"\n",
"import sys\n",
"\n",
"import pylab\n",
"\n",
"import numpy.linalg\n",
"\n",
"import plotly as py\n",
"\n",
"%load_ext rpy2.ipython\n",
"\n",
"#r packages\n",
"from rpy2.robjects import r\n",
"from rpy2.robjects.packages import importr\n",
"from rpy2.robjects import FloatVector\n",
"stats = importr('stats')\n",
"base = importr('base')\n",
"\n",
"from scipy import stats\n",
"\n",
"import seaborn\n",
"\n",
"from IPython.display import display, Markdown"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Delsys EMG Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Reading EMG csv files for all participants\n",
"Each Delsys Trigno sensor collects data through four channels: EMG, AccX, AccY, AccZ. We're only interested in EMG data from each sensor.\n",
"\n",
"Sensors were attached to Left Upper Trapezius, Right Upper Trapezius, Left Arm Flexor Digitorum, Right Arm Flexor Digitorum, Left Foot Flexor Digitorum, Right Foot Flexor Digitorum."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "5YQSo0OcfaRk"
},
"outputs": [],
"source": [
"#Reading csv files, extracting sensor of interest, defining channels' names for Headphones condition\n",
"\n",
"channels = ['CH1','CH2','CH3','CH4','CH7','CH8']\n",
"channelsb = ['CH1','CH2','CH3','CH5','CH7','CH8']\n",
"channelsc = ['CH1','CH2','CH3','CH4','CH7','CH9']\n",
"colnames=['LUTRAP', 'RUTRAP', 'LFLEX', 'RFLEX', 'LFOOTEXT', 'RFOOTEXT'] #channels according to electrode placement\n",
"\n",
"hp_raw_emg = {}\n",
"\n",
"path = r'/Users/vesanche/Desktop/S3 headphones 0001_a.csv/' # use your path for the folder containing Headphones emg files\n",
"hp_files = sorted(glob.glob(os.path.join(path, \"*.csv\")))\n",
"\n",
"i=1\n",
"\n",
"for filename in hp_files:\n",
" hp_raw_emg[i] = pd.read_csv(filename, sep=',', encoding='utf-8', skiprows=13, low_memory=False, na_values='-1.#QNAN0', usecols=channels)\n",
" i = i+1\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "jK3vTMqOszM-"
},
"outputs": [],
"source": [
"sp_raw_emg = {} #same as above for speakers condition\n",
"\n",
"path = r'/Users/vesanche/Desktop/S3 speakers 0001_a.csv/' # use your path for the folder containing Speakers emg files\n",
"sp_files = sorted(glob.glob(os.path.join(path, \"*.csv\")))\n",
"\n",
"i=1\n",
"\n",
"for filename in sp_files:\n",
" sp_raw_emg[i] = pd.read_csv(filename, sep=',', encoding='utf-8', skiprows=13, low_memory=False, na_values='-1.#QNAN0', usecols=channels)\n",
" i = i+1\n",
" "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "W1YBwolJU6sk"
},
"outputs": [],
"source": [
"for i in list(hp_raw_emg):\n",
" hp_raw_emg[i].columns = colnames #renaming channels according to electrode placement\n",
" \n",
" \n",
"for i in list(sp_raw_emg):\n",
" sp_raw_emg[i].columns = colnames #renaming channels according to electrode placement"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "49vBwQc0mpp5"
},
"source": [
"### Preprocessing EMG data"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "rRsYf6EKm10C"
},
"source": [
"### Removing mean (offset)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "DHVBlrNwffyz"
},
"outputs": [],
"source": [
"hp_corrected_emg = {}\n",
"for i in list(hp_raw_emg):\n",
" hp_corrected_emg[i] = hp_raw_emg[i] - np.mean(hp_raw_emg[i]) #removing the mean from the raw signal (headphones)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "oUqnGGQuo_NB"
},
"outputs": [],
"source": [
"sp_corrected_emg = {}\n",
"for i in list(sp_raw_emg):\n",
" sp_corrected_emg[i] = sp_raw_emg[i] - np.mean(sp_raw_emg[i]) #removing the mean from the raw signal (speakers)\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "w5LuxZ5XqUDt"
},
"outputs": [],
"source": [
"#Visualizing EMG with offset vs mean-corrected EMG\n",
"\n",
"fig = plt.figure()\n",
"plt.subplot(1, 2, 1)\n",
"plt.subplot(1, 2, 1).set_title('Mean offset present')\n",
"plt.plot(sp_raw_emg[22]) #indicate condition and participant\n",
"\n",
"plt.subplot(1, 2, 2)\n",
"plt.subplot(1, 2, 2).set_title('Mean-corrected values')\n",
"plt.plot(sp_corrected_emg[22]) #indicate condition and participant"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "P0kXt3wfm8NQ"
},
"source": [
"### Rectifying data"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "5f91klgnnBOo"
},
"outputs": [],
"source": [
"# Rectifying EMG signal - Headphones condition\n",
"hp_rectfd_emg = {}\n",
"for i in list(hp_raw_emg):\n",
" hp_rectfd_emg[i] = abs(hp_corrected_emg[i])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "vU_fhBkIDrjm"
},
"outputs": [],
"source": [
"# Rectifying EMG signal - Speakers condition\n",
"sp_rectfd_emg = {}\n",
"for i in list(sp_raw_emg):\n",
" sp_rectfd_emg[i] = abs(sp_corrected_emg[i])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "nrT1B612D5Qb"
},
"outputs": [],
"source": [
"#Visualizing Rectified EMG vs not-rectified mean-corrected EMG\n",
"\n",
"fig2 = plt.figure()\n",
"plt.subplot(1, 2, 1)\n",
"plt.subplot(1, 2, 1).set_title('Mean-corrected EMG')\n",
"plt.plot(sp_corrected_emg[36]) #indicate condition and participant\n",
"\n",
"plt.subplot(1, 2, 2)\n",
"plt.subplot(1, 2, 2).set_title('Mean-corrected, rectified EMG')\n",
"plt.plot(sp_rectfd_emg[36]) #indicate condition and participant"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "CJZeAP5rnB72"
},
"source": [
"### Root mean square filter"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "8E2Jil1fnLn0"
},
"outputs": [],
"source": [
"hp_smooth_emg = {}\n",
"\n",
"for i in list(hp_raw_emg):\n",
" hp_smooth_emg[i] = hp_rectfd_emg[i].rolling(1000,center=True,min_periods=1).mean()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "xfOjHAQ0JU8u"
},
"outputs": [],
"source": [
"sp_smooth_emg = {}\n",
"\n",
"for i in list(sp_raw_emg):\n",
" sp_smooth_emg[i] = sp_rectfd_emg[i].rolling(1000,center=True,min_periods=1).mean()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "tNnKxikoLmOR"
},
"outputs": [],
"source": [
"#Visualizing Rectified EMG vs Rectified-Smoothed EMG\n",
"\n",
"fig3 = plt.figure()\n",
"plt.subplot(1, 2, 1)\n",
"plt.subplot(1, 2, 1).set_title('Mean-corrected, rectified EMG')\n",
"plt.plot(hp_rectfd_emg[10]['LFLEX']) #indicate condition and participant\n",
"\n",
"plt.subplot(1, 2, 2)\n",
"plt.subplot(1, 2, 2).set_title('Mean-corrected, rectified, smoothed EMG')\n",
"plt.plot(hp_smooth_emg[10]['LFLEX']) #indicate condition and participant"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "TUWwizZInMV5"
},
"source": [
"### Normalization"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "pV4fdozDnQ44"
},
"outputs": [],
"source": [
"#Normalizing smoothed EMG between 0-100, both conditions\n",
"\n",
"hp_smooth_norm_emg = {}\n",
"\n",
"for i in list(hp_raw_emg):\n",
" hp_smooth_norm_emg[i]=((hp_smooth_emg[i]-hp_smooth_emg[i].min())/(hp_smooth_emg[i].max()-hp_smooth_emg[i].min()))*100"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "9i5MVLIYRmoQ"
},
"outputs": [],
"source": [
"sp_smooth_norm_emg = {}\n",
"\n",
"for i in list(sp_raw_emg):\n",
" sp_smooth_norm_emg[i]=((sp_smooth_emg[i]-sp_smooth_emg[i].min())/(sp_smooth_emg[i].max()-sp_smooth_emg[i].min()))*100"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 409
},
"colab_type": "code",
"id": "B2WmC5JbGh6J",
"outputId": "fd6ba684-e978-4b39-d4e1-14180e8608c1"
},
"outputs": [
{
"data": {
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ALIAVcWVu0fKQbLFHVTcB+Kiy9qYghBBCCkFEbgUwSinl3RaCkFA43UeMYe9X0wUrRPYM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GYv8gTIXR3ee9SbA0Nm3e49aJEi1B2SJuy6Z2+WIs9OmCZoqhS2MkzokDvDKHVm9/N+cTsqd7Ce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\nAFBJjgAAACrJEQAAQCU5AgAAqOo3An196OTeE00AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1008x432 with 2 Axes>"
]
},
"metadata": {
"tags": []
},
"output_type": "display_data"
}
],
"source": [
"Fs_EMG = 2000\n",
"N_EMG = len(sp_smooth_norm_emg[16]['RFOOTEXT']) # number of samples\n",
"T_EMG=(N_EMG-1)/Fs_EMG #duration\n",
"ts_EMG = np.linspace(0, T_EMG, N_EMG, endpoint=False)\n",
"\n",
"#plt.plot(sp_smooth_norm_emg[16]['RFOOTEXT'])\n",
"\n",
"fig = plt.figure(figsize=(14,6))\n",
"aa = plt.subplot(1, 2, 1)\n",
"plt.plot(ts_EMG, sp_smooth_norm_emg[16]['RFOOTEXT'], 'cadetblue', lw=1, label='_nolegend_')\n",
"plt.title('Right Foot Flexor Digitorum', fontsize=14)\n",
"plt.xlabel('Time (s)', fontsize=14);\n",
"plt.ylabel('Normalized EMG', fontsize=14);\n",
"\n",
"#aa.yaxis.set_major_formatter(FormatStrFormatter('%.2f'))\n",
"bb = plt.subplot(1, 2, 2)\n",
"plt.plot(ts_EMG, sp_smooth_norm_emg[16]['LFOOTEXT'], 'cadetblue', lw=1, label='_nolegend_')\n",
"plt.title('Left Foot Flexor Digitorum', fontsize=14)\n",
"#bb.yaxis.set_major_formatter(FormatStrFormatter('%.2f'))\n",
"plt.xlabel('Time (s)', fontsize=14);\n",
"plt.ylabel('Normalized EMG', fontsize=14);\n",
"\n",
"fig.savefig(\"EMG_exampledata.pdf\", bbox_inches='tight')\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "FvrLr8yhVXbu"
},
"source": [
"### Splitting processed EMG data into conditions/songs"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "PgSmSEuTScLl"
},
"outputs": [],
"source": [
"hp_songorder = pd.read_csv('drive/My Drive/UiO RITMO/HeadphonesVSSpeakers/songorderhp.csv') #Reading csv with stimuli order used for each participant during headphones condition\n",
"hp_songorder.columns = ['Participant','1', '2', '3','4', '5', '6']\n",
"hp_songorder.set_index('Participant',inplace=True, drop=True)\n",
"hp_songorder"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "vFvwEvVpDO6Q"
},
"outputs": [],
"source": [
"sp_songorder = pd.read_csv('drive/My Drive/UiO RITMO/HeadphonesVSSpeakers/songordersp.csv') #Reading csv with stimuli order used for each participant during speakers condition\n",
"sp_songorder.columns = ['Participant','1', '2', '3','4', '5', '6']\n",
"sp_songorder.set_index('Participant',inplace=True, drop=True)"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "G4EibbPPXSx5"
},
"source": [
"### Segmenting processed EMG data into music-silence segments"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "8tH41oXmFbUJ"
},
"outputs": [],
"source": [
"def segments(songorder,data):\n",
" #work in progress, works for emg data at 2000Hz, song duration used in 2018 headphones-speakers experiment\n",
" #Silence 1 - 45?\n",
" #Silence 2, 3, 4, 5, 6 - 30s\n",
" #1 - - 49s\n",
" #2 - - 48s\n",
" #3 - - 47s\n",
" #4 - - 48s\n",
" #5 - - 48s\n",
" #6 - - 48s\n",
" #Silence 7 - 32s\n",
" #Total duration of recording 500s\n",
" \n",
" \n",
" start = {}\n",
" segments = {}\n",
" segments[1] = data[0:60000] #First silence segement: 30 seconds\n",
" start[1] = 0\n",
" start[2] = 60001\n",
" song = 0\n",
" \n",
" while song <= len(songorder.columns)-1:\n",
" for inicio in range (2,13,2):\n",
" if songorder.iloc[0][song] == 1:\n",
" segments[inicio]=data[start[inicio]:start[inicio]+98000] #song1 49s\n",
" segments[inicio+1]=data[start[inicio]+98001:start[inicio]+98000+60000] #30s silence\n",
" start[inicio+2] = start[inicio]+98001+60000\n",
" song = song+1 \n",
" elif songorder.iloc[0][song] == 2:\n",
" segments[inicio]=data[start[inicio]:start[inicio]+96000] #song2 48s\n",
" segments[inicio+1]=data[start[inicio]+96001:start[inicio]+96000+60000] #30s silence\n",
" start[inicio+2] = start[inicio]+96001+60000\n",
" song = song+1\n",
" elif songorder.iloc[0][song] == 3:\n",
" segments[inicio]=data[start[inicio]:start[inicio]+94000] #song3 47s\n",
" segments[inicio+1]=data[start[inicio]+94001:start[inicio]+94000+60000] #30s silence\n",
" start[inicio+2] = start[inicio]+94001+60000\n",
" song = song+1\n",
" elif songorder.iloc[0][song] == 4:\n",
" segments[inicio]=data[start[inicio]:start[inicio]+96000] #song4 48s\n",
" segments[inicio+1]=data[start[inicio]+96001:start[inicio]+96000+60000] #30s silence\n",
" start[inicio+2] = start[inicio]+96001+60000\n",
" song = song+1\n",
" elif songorder.iloc[0][song] == 5:\n",
" segments[inicio]=data[start[inicio]:start[inicio]+96000] #song5 48s\n",
" segments[inicio+1]=data[start[inicio]+96001:start[inicio]+96000+60000] #30s silence\n",
" start[inicio+2] = start[inicio]+96001+60000\n",
" song = song+1\n",
" elif songorder.iloc[0][song] == 6:\n",
" segments[inicio]=data[start[inicio]:start[inicio]+96000] #song6 48s\n",
" segments[inicio+1]=data[start[inicio]+96001:start[inicio]+96000+60000] #silence\n",
" start[inicio+2] = start[inicio]+96001+60000\n",
" song = song+1\n",
" return segments"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "EeBwFPC8QhdV"
},
"outputs": [],
"source": [
"hp_processed_emg_segm = {} #Using segments function on headphones condition processed data for all participants\n",
"for i in list(hp_raw_emg):\n",
" hp_processed_emg_segm[i] = segments(hp_songorder[i-1:i],hp_smooth_norm_emg[i])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "of7BuZbcUFq5"
},
"outputs": [],
"source": [
"sp_processed_emg_segm = {} #Using segments function on speakers condition processed data for all participants\n",
"for i in list(sp_raw_emg):\n",
" sp_processed_emg_segm[i] = segments(sp_songorder[i-1:i],sp_smooth_norm_emg[i])"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "sPpCc9RyXLR9"
},
"source": [
"### Grouping segmented data by music/silence condition"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "O8ktcJHiXPUk"
},
"outputs": [],
"source": [
"#Odd segments are silence, even segments are music\n",
"hp_processed_emg_segm_mus = {} #creating empty dictionaries for music and silence\n",
"hp_processed_emg_segm_sil = {}\n",
"\n",
"for i in list(hp_raw_emg):\n",
" hp_processed_emg_segm_mus[i] = {} #creating empty dictionary for each participant for both music and silence conditions\n",
" hp_processed_emg_segm_sil[i] = {}\n",
" k = 0\n",
" \n",
" for j in range (1,13,2):\n",
" hp_processed_emg_segm_sil[i][k] = hp_processed_emg_segm[i][j] #filling each participant's dictionary with odd segments (silence)\n",
" hp_processed_emg_segm_mus[i][k] = hp_processed_emg_segm[i][j+1] #filling each participant's dictionary with even segments (music)\n",
" k=k+1\n",
" \n",
" "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "8cQJixOLIoHF"
},
"outputs": [],
"source": [
"#Same as above, for speakers condition\n",
"sp_processed_emg_segm_mus = {} #creating empty dictionaries for music and silence\n",
"sp_processed_emg_segm_sil = {}\n",
"\n",
"for i in list(sp_raw_emg):\n",
" sp_processed_emg_segm_mus[i] = {} #creating empty dictionary for each participant for both music and silence conditions\n",
" sp_processed_emg_segm_sil[i] = {}\n",
" kx = 0\n",
" \n",
" for j in range (1,13,2):\n",
" sp_processed_emg_segm_sil[i][kx] = sp_processed_emg_segm[i][j] #filling each participant's dictionary with odd segments (silence)\n",
" sp_processed_emg_segm_mus[i][kx] = sp_processed_emg_segm[i][j+1] #filling each participant's dictionary with even segments (music)\n",
" kx=kx+1\n",
" "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "SQXEYLxaQEf-"
},
"outputs": [],
"source": [
"sp_processed_emg_segm_mus[3][0] #1st music segments participant 3, speakers condition"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "DuK3hzaJXhxR"
},
"source": [
"### Sorting music data by stimuli"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "BjpLdBmrXlsa"
},
"outputs": [],
"source": [
"## Function to sort segments from each participant with corresponding stimuli\n",
"def sort_stimuli(songorder,data):\n",
" \n",
" sorted_stimuli = {}\n",
" song = 0\n",
" while song <= len(songorder.columns)-1:\n",
" \n",
" if songorder.iloc[0][song] == 1:\n",
" sorted_stimuli[1] = data[song]\n",
" song = song+1\n",
" elif songorder.iloc[0][song] == 2:\n",
" sorted_stimuli[2] = data[song]\n",
" song = song+1\n",
" elif songorder.iloc[0][song] == 3:\n",
" sorted_stimuli[3] = data[song]\n",
" song = song+1\n",
" elif songorder.iloc[0][song] == 4:\n",
" sorted_stimuli[4] = data[song]\n",
" song = song+1\n",
" elif songorder.iloc[0][song] == 5:\n",
" sorted_stimuli[5] = data[song]\n",
" song = song+1\n",
" elif songorder.iloc[0][song] == 6:\n",
" sorted_stimuli[6] = data[song]\n",
" song = song+1\n",
" return sorted_stimuli"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "giho8P5zPDi1"
},
"outputs": [],
"source": [
"## Running stimuli-sorting function for all groups\n",
"hp_sorted_emg_mus = {}\n",
"for i in list(hp_raw_emg): \n",
" hp_sorted_emg_mus[i] = sort_stimuli(hp_songorder[i-1:i],hp_processed_emg_segm_mus[i])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "7uT-T9BuHmDI"
},
"outputs": [],
"source": [
"## Same as above, for speakers condition\n",
"sp_sorted_emg_mus = {}\n",
"for i in list(sp_raw_emg): \n",
" sp_sorted_emg_mus[i] = sort_stimuli(sp_songorder[i-1:i],sp_processed_emg_segm_mus[i])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "QeGE_CpbMDOR"
},
"outputs": [],
"source": [
"hp_sorted_emg_mus[3][2]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "nz_kYVuqMLdZ"
},
"outputs": [],
"source": [
"#Mean Filtered EMG for each muscle for each participant for each music segment, heaphones condition\n",
"for i in list(hp_raw_emg): \n",
" \n",
" for j in range(1,7):\n",
" hp_sorted_emg_mus[i][j].loc['mean'] = hp_sorted_emg_mus[i][j].mean() "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "2LUf1v5S0acL"
},
"outputs": [],
"source": [
"#Mean Filtered EMG for each muscle for each participant for each music segment, speakers condition\n",
"for i in list(sp_raw_emg): \n",
" \n",
" for j in range(1,7):\n",
" sp_sorted_emg_mus[i][j].loc['mean'] = sp_sorted_emg_mus[i][j].mean() "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "tTR8ak3Yyh8S"
},
"outputs": [],
"source": [
"#Mean Filtered EMG for each muscle for each participant for each silence segment, heaphones condition\n",
"for i in list(hp_raw_emg): \n",
" \n",
" for j in range(0,6):\n",
" hp_processed_emg_segm_sil[i][j].loc['mean'] = hp_processed_emg_segm_sil[i][j].mean() "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "V7u9Pt9-z9Qe"
},
"outputs": [],
"source": [
"#Mean Filtered EMG for each muscle for each participant for each silence segment, speakers condition\n",
"for i in list(hp_raw_emg): \n",
" \n",
" for j in range(0,6):\n",
" hp_processed_emg_segm_sil[i][j].loc['mean'] = hp_processed_emg_segm_sil[i][j].mean() "
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "jiYpJAg_llZz"
},
"source": [
"## Wii Balance Board Data Example\n",
"Data consist of 8 columns: Time Stamp, Top Left, Top Right, Bottom Left, Bottom Right, Sum, Centre of Gravity in X (CoG X), Centre of Gravity in Y (CoG Y)."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "JPy_-Xtj2Fwb"
},
"outputs": [],
"source": [
"wii_board_example = pd.read_csv('path.csv', delim_whitespace=True, encoding='utf-8', low_memory=False, na_values='-1.#QNAN0', names=[\"Time Stamp\", \"Top Left\", \"Top Right\", \"Bottom Left\", \"Bottom Right\", \"Sum\", \"CoG X\", \"CoG Y\"])\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "6nu_3BLv2Z2k"
},
"outputs": [],
"source": [
"wii_board_example = wii_board_example[:30000] #Fs approx 60Hz, 500s of recording\n",
"\n",
"Fs = 60\n",
"N = len(wii_board_example) # number of samples\n",
"T=(N-1)/Fs #duration\n",
"ts = np.linspace(0, T, N, endpoint=False) \n",
"\n",
"wii_board_example\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 287
},
"colab_type": "code",
"id": "cTu_5ErC3yB2",
"outputId": "47ddb712-2a0a-4304-bcb2-32bd01fc4205"
},
"outputs": [
{
"data": {
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LJWRzJclEXdZDHT6CZ3IptbV8ylmN3L58eW775NWrWZqRZ93gMYP4D8bOPXt4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\nPMI7HwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(ts, wii_board_example['CoG X'], 'c', lw=1, label='_nolegend_')\n",
"plt.xlabel('Time (s)', fontsize=16);\n",
"plt.ylabel('Center of Gravity (CoG)', fontsize=16);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 409
},
"colab_type": "code",
"id": "b3r57ArGEAZ2",
"outputId": "b8c27019-b895-43d2-d18a-50c2aac8ff6e",
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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02NnuRET3E9FEIppCRJeUr9QWnn5ALs1YS2ucuUkrl5e3PAzDMFUIC0oMwzAMA4CIGgAM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\nTkSuQmCC\n",
"text/plain": [
"<Figure size 1008x432 with 2 Axes>"
]
},
"metadata": {
"tags": []
},
"output_type": "display_data"
}
],
"source": [
"from matplotlib.ticker import FormatStrFormatter\n",
"\n",
"fig = plt.figure(figsize=(14,6))\n",
"aa = plt.subplot(1, 2, 1)\n",
"plt.plot(ts, wii_board_example['CoG X'], 'tomato', lw=1, label='_nolegend_')\n",
"plt.title('Medio-Lateral', fontsize=14)\n",
"plt.xlabel('Time (s)', fontsize=14);\n",
"plt.ylabel('Center of Gravity (CoG)', fontsize=14);\n",
"\n",
"aa.yaxis.set_major_formatter(FormatStrFormatter('%.2f'))\n",
"bb = plt.subplot(1, 2, 2)\n",
"plt.plot(ts, wii_board_example['CoG Y'], 'tomato', lw=1, label='_nolegend_')\n",
"plt.title('Anterio-Posterior', fontsize=14)\n",
"bb.yaxis.set_major_formatter(FormatStrFormatter('%.2f'))\n",
"plt.xlabel('Time (s)', fontsize=14);\n",
"plt.ylabel('Center of Gravity (CoG)', fontsize=14);\n",
"\n",
"fig.savefig(\"Wiiboard_exampledata.pdf\", bbox_inches='tight')\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "OzOMlTSuly6a"
},
"source": [
"## Sweetzpot Breathing Data Example"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "1EDpLiAql3PC"
},
"outputs": [],
"source": [
"breath_example_hp = pd.read_csv('path.csv', delim_whitespace=True, encoding='utf-8', low_memory=False, na_values='-1.#QNAN0', names = ['Data'])\n",
"\n",
"breath_example_sp = pd.read_csv('path.csv', delim_whitespace=True, encoding='utf-8', low_memory=False, na_values='-1.#QNAN0', names = ['Data'])\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {},
"colab_type": "code",
"id": "OxUdSXv5nkuQ"
},
"outputs": [],
"source": [
"Fs_breath = 10\n",
"N_breath_hp = len(breath_example_hp) # number of samples\n",
"N_breath_sp = len(breath_example_sp) # number of samples\n",
"\n",
"T_breath_hp =(N_breath_hp-1)/Fs_breath #duration\n",
"ts_breath_hp = np.linspace(0, T_breath_hp, N_breath_hp, endpoint=False)\n",
"\n",
"T_breath_sp =(N_breath_sp-1)/Fs_breath #duration\n",
"ts_breath_sp = np.linspace(0, T_breath_sp, N_breath_sp, endpoint=False)\n",
"\n",
"breath_example_hp =((breath_example_hp-breath_example_hp.min())/(breath_example_hp.max()-breath_example_hp.min()))*100\n",
"\n",
"breath_example_sp =((breath_example_sp-breath_example_sp.min())/(breath_example_sp.max()-breath_example_sp.min()))*100\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
},
"colab_type": "code",
"id": "IEiyqQ50mo3b",
"outputId": "f8134954-3b94-444c-d56a-ac688676d168"
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fb8b7778b00>]"
]
},
"execution_count": 25,
"metadata": {
"tags": []
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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JXF5i2nUzMeHqB6370OeezUfZL+kzUrtwfu7VTAvQkY3z/sVi/fZ0/tkmbIZ2\nIN3KJe5KGZxXSkwIfNXNjKRpYHqtFFqdtTT5oueQsVGMQClBdf1bo1Cd9/7sGVz7j3nsfm+ujoq+\ncCmiqUfMUwFdo/oafWQqA+nuLkZzD+55e0dt1FxtWOE+793tpONG2wsV2TCRNjy62dDcVah3Li/D\nmVzn3KPvEeduF4xqGajz8nGf3Oic5DvZT4ios+aMmq9q+4Rhfa3tsOE/73kdC9buCLnxJGRzEmuC\n5Th9Zht2dIZGLJOWUYNKE+5Qmnt8sKbxyCkVTy2MVm0luQ2idINqUt7+NCuX+HOR4bFKph88dlDR\n7TLlctpxc9y+0Wq2GNl+6Un7AgA+dvw+2NmZxfICeZFunhml/vAYf37aXKWYKU8c+lyVksHFhqjz\nOeFeZfRva4qiNwtq7nahaveW0bc3GZq7IAYjJQBo5+VWE0kDoj3oTNYgJuNQUzgqye0J6v8f7b9i\n8y7tHOu2d+DB14svw5dGk6X3SSe0Y374GI770cyg/fr+6nl20vsPvmYYzb2ctLWF8Msno6yJfyuR\nXkmzwuFgCnB9tVL4eNPLIyxinZf4/bPLAaConC0KptZd6PknBTilQVuzL7qaMwIf+fULOO0nTyTu\nT90rQ2XAQssoTAxW2rQvZkLOPW6fULLCvPW/zlmFdzbtwr2vrEpsY6XRcOkHRg5sxbrtnWht8mL+\nqkAJmrtFAzSPac542kSgBi/l/m3eMqEmndDR1WDpNAyqkZ+7DtPOEGruEKyL6D/mvouTJw0P///0\n7bPxxuptOOWAczCgLeLmCyGNJww1JtqevdSepQx5dSqc1B5RmT1+0qg0NpJc8/PXlGY0q5TmXqxB\ntSubB1rJ8WEiLGD/kQMwc8F6jBnUVnS7TOFe8P6YPpg22hQgxUEk8PoqvdC7lDJGE3UydN7rq7fi\ng8eMV1tj14iedfSb4vhN2hSIxjztuwvX7cBX/zI3/P/QElZFpaJszV0IkRFCvCqEeCD4f18hxItC\niMVCiD8LIVoKnaOS0AJaQvrB0GINJGnM3ZrvOeWBDeHu6bSM6kzZfOSdQjscZ6lP4v6zjEFVd4VM\n4mJ5ysYUxGo/IURIK6X1oFBL+k7Gi8AEnTBtGix9vFJG71Xn3E1aJjqG80OuFDT6h3GJS0JrwDWf\nSCbSUq9t/i8lcM4NT+KGR/k0GwBiAUJUgz5o9AAAwPihxdNypmDmxtT4oKSfft3od3qKv726Codf\n+y9r/+Dyx5vXpm2g8RGqGtgfXngn1h4AGB1MbmHEKflNeZRx/Vz1TfpOTK+61Vt7JlAQqAwt8yUA\n88n/PwZwg5RyEoAtAC6twF5WmGIAACAASURBVDVSIwymyMcjzQBegCbxs1zpPCDuYWMaI2niMXV9\nupSjxxfyqQciYUWFu6QG1SRaJq8nhaIeEtQwrA+0eL6bJGzc6btu3vz4ogJ76vdpm1hNLtnjaJlg\nFy5CtZARvRzQ9hfLuY8Z7As4Jo4sFWJ+7tpvEgvX7cRNM+3vYGeHzhWHrpBkhVlOEJMC128G9YlW\ngFzqXDqpfP+B+di2u9tqw0nS8dX7oWOFnns0szLJSxnWOTDHI72TKFUII9xzSrhH2zIeLxd6AmUJ\ndyHEOADnAfhN8L8AcAaAe4JdbgdwYTnXKKFNAHQhZsvMqGDL/wLYUwKYndeM+uwKNXcZRuZ9+763\nyLmifVWTqJYyzPDGUe3Q/NyJu1lcC4++5/JSq7Vqo4Hos1Fdsthgm/tTBMBwgjcpIVZOysgFTTNk\n6Zq7TlFE3yudGI32iWKLjIc5VUo0+MYMqlrfLnz8JiMKmZaU48ZLqeDGFN2kvtP3fuJEfzVz4RFj\nChfzsCSLAyKhTCfh9x42Jvx+WFD45qPH7R21R8YFcZ7pm0q+sMJdae4JVFO1C4JTlKu53wjgKgDq\nTocB2CqlVKNpFYCx3IFCiMuEELOFELM3bKh8cicq+Og4WrqhHZ+7c46mRXcn0TKG62F4foaWoQhp\nmZxko+ioMFZClr74Mw/aS98/uIn5ayKXrlxe96dXoBq9arfqZE++vT46xuJ5IUDSEBfptJuTEjPn\nr8O3/m4PC+fuPaaRarRM5C1Dn6VacUUGVXLP5ISbdlY2rQJ91qZAKIQoTL8ywp0izTmvufcN9hjq\neeUrABJf+8tcvLB0U7qGGUKMG1O66yGC68a3UdiEYZjkjKNlFIVJFKGH31rLtuMHD8zDv97yI9rN\nd6n6vqa5G/EWFBwtU7QtooIoWbgLIc4HsF5KOaeU46WUt0opp0opp44YMaLwAcWfn+Wjr7n3DTz0\nxlo8TzptkudClyVTo9l5Y7RMLuLcjxzvawofPnZ8+LumxTDGJVOzU5PMEEqjEM7dLPRBO30uH3Xc\nd7dFfu75vNR8msPrC76ACMWGHZ3sc5MSuPT22fEkXxaXPXWfptAyo33VyoPaAFTbPC/aj7tGKVkY\nk0Cfyb8dyeouBVGqSaDcICaz8Lg6Qve8ksjmJe6ZsyrMtV4IcVqG7xtmWzWKi5nobQ4NSVWjlPJA\nV6ZUKaL3+ZtnluGyO+ZorqCmDYzem/rO0SudDC0Ta1sVbUEmytHcTwTwPiHEcgB/gk/H3ARgsBBC\neeGMA1D93JYMqFbLRqWSTpPEuXczHK9/Tv0lNXn8o6RufMP6RW4KmkFVcYTkAqZm0EVWAlF7ogFp\n5qUxhakS1iMHtkadNy+1IBCNcw8+szmJ9ds78Oi8KLvgzs4sjvnhY1rAiJo8DhrNF66wUVo2KsBc\nJalJaHdXXLirZ29OaNUCDUYrNmWDreZtWiR7y/DH0L6QZFClFA1nTEyCuVtSSg96Xpai086TLAy5\n5hVquxpaelWzaFWo7Eeqf3Gn4ZSebmJnU3hpmV4pqi40dynlNVLKcVLKCQAuAvC4lPKjAGYBeH+w\n2yUA7iu7lSWAGjLZ2qZUkCYYOUrl3MP9iKDt1oyo0fe5gStX0vm7OW8ZadPcpTERRfc9pG+Lprmr\nAXfsvkON5WSkuX/tntfxH/83OxSs7YEm/AhZ6qrUCu87POI2ufar9oX3qTwbTG8fQwtXkxMV7mpV\nxaUfsGnxlQBNI1Es1FSQZOdJQpLmbrtPPa7AfM7RGFG75fIpSyEyWjd3zaS20n4eGjAppWppR5Lx\nl56HbTehoug28547Gbmg9uAUQqWQ0esuWqe7ytL7Xbe9Azc+trBq0dTVCGL6OoArhRCL4XPwt1Xh\nGlbQ5RpdciL8Ht+WKNwtHTju585rcFIS632WainMtchGUzMIDapUiJOJw8xIySUOU7+BeCqo/Whc\nAKAXUzDDsVXk3nqyxA8TRlk66kySV5zeWui2ZgwW08VPaci7KC0TvjeGc2e0xEpB91gq7lj1XHN5\n4McPL8BPE9wWOZj9hl7e1paklak6RsromUkpU9EHSRMLNzlwOXmyWpR0pCknCVHVRv+68d8KFc2I\nJrTk90jf84K123H+/z4d9n0uiKmboWVOm6zbzma9vT78/pk75uDGxxZhsZFYr1KoiHCXUj4hpTw/\n+L5USnmslHKSlPIDUsrSkmiUCarV0ofNCcOXEorsdmd5zd3UKJoSfNuUUNRXAfHBo2lYealz8Ix7\nV44MSDNbpKn5qsPyMuL7aWoEqu0v3dAe0iDthK9WE8tj8+MFIEKjsGHYVdjVWcgNNNnbR3mldHCc\nuwgib6EfQ+8/LVZu3qUVfOZgs8OkgbqPfF7il08s0cLi0yApY6FNA6R9Y2BbE867+WmceP3j/jFq\nos/rq700mrtOLeq/8cUs4u3OMX08KdHfo/PWoTOb01afJsIEXtaVTLw9ec6gSt7zDY8uxJurt2Pp\nBj/NQTtjx1HKG71uv1Y9TpTSm2qi8ErI5ZMGDRehqqAs/oDpLhaftZNgGioVTGFk09zpOTQvEXL4\noD7N2La7Wxfu2TxfRIQKFptBNa93MEpRmS5v3HcA2B74Q3+TeL2o9nN+wqEGbqFGcpYByx2n2km/\nKyFEBZXiSIUQEELEjlEoRvyqSlb3f/5ECAgcOi4eUVgJzb1U7jUWrKYJqOi7FlCXiybET5wwATc/\nvjg6Rk30UrfTpHHVNBUIClZzZ1ZTWVa40/NEz/qRt9biM3f4/hufC6qJJWV5tb0bG12bMdJ2U+7e\nVN44yibycy884fYEGja3DA3K4AROWqN1as7dYlAFopfelaUdOb4c1bnofCKfqPbnbAhmulVKv9AJ\nIZePDGemtq/yydPSe0ozGTnQF+6HE8EXLknz/D2OGthGtjPCPUEjtVFoKlhHwNfcNU1MiyMofoC9\n72fP4r0/e4b9zczvUwpKNqjGJkH6nX9mtK/aJlEpzZWifYBsae+yVsXirhlei6NlmAI1Wt8lx1D+\nWm1Nqs9gezeRE4KuuCUp0GkMo+p8pqeXDapfVkdvb0DhHnGayQZVqrknpTjt1rxqiECO0TL2c3C0\nDOdW2W148BTy+OjK5sOBYEsFDAQCPezw/FK8M5vXrte3ORO/Xk7XiOYS+iKMyLVo6CrFq2qfQhhw\nEuPc9e/qEM6/2As0d5sm+dKyLbFjyoGmuZd4jlJzpydnheS3a/2WPOeubF7zN9dWpgma+38/sgB3\nvLBCS5qmUkrb2gmYSpZSSuJt03ME+fx/dy6PwwOX4uH9WzRlxUR4ngKauxnt3cb0eQXThZSjnaIV\nOp3E9EYcO2Eo+c1H2iLfxaLxhLviNImA015ywnKQAxUm9Ltp8LR5ywC8cLdNGnRbIe2uI5vjtZC8\n6S1D7Q/6ikYd//qqbZpAOGvKSADAp07cN9wW+g+Tk7+5ehs6unPYEdA4HIcKmDaBqG2ULqIwJydu\nElMQwtd+NK6WfP/FE4tjx5QDUygUA65QRDEwnxP9Vw/iirZ3W/qw7v4YXznacNdLKwHo97DRCBTj\njueisvX+EhkkaYTq2Tc8hf2/8c8wWG2/4f2Jt0y8fdwKgCoXqh1mKgsVj2KCe8ecoTf0/KLC3dht\nwvB43p568papCVADIa+5p3ugWYtAN6NOk7V/Jdx5gc6922xOFtTuKLdONa37574bE3R0orPx7Nzl\naHAWZzA6/3+fwVfvnssKfk1LtBiT1T7xaNnoO20/pbYURBB0ZeM6mzMefvvMspiHw1vvbsOsBeuR\nBC4AqitnH7yFQFeWpYAKyPvnvot3Nkd5zG20DH1my0je8+5cnghJnZa7f27hdM9J0cuc5s9RbXRM\nUM49qrGaD9usJmyJaGzYaJk/vfQONuyMSvgN13Io+cdomSLhu9v2b42bIbk3xSkZXI6oVHRVlYR7\nwxlUtWxxRENV4AR+EjSBnKUDRn+5Sd4ynI96oWyC3bl8wTbSCYx2qGUb2w3NV9eQw2Nyea3jcsZj\n2hm7Q83K36YKf8xZsYV9rnRifH5JFBHMukIaPLzuBUL34zR3EeSpp+eNvntC4HsPzMO/5q3Fny6b\nFm4/72afU19+/Xmxcyrs7srFBny3JhRKQyWCmL5416vab7rBn9fC+7ZE1EOSQT1NwZYk5UNdnxop\nc1Lit88sw5B+zbzmHr40ya5wIndbElnLtGHl5l24+t43MLx/FDRIn4fq5zSJWj7v9yMunQT3qjjh\nzkVbm4U7uhnBX+I8XxANq7lrHiKM5s7NoCcxaVhtS1oTSd4yXEbHJCpoyuiB6M4XFu5S8ks6Uwuj\nbqG654zecVUa0+aMIJpVfEKKkj75n2u3d0SaFGkz1Yx+/9xyrT3md3rc22t3xLx9uPw7SgD5uXCE\n1Vtk406fL31hqd3l1QYbZaZQtCtkCs19666uhFTISrvlNOPou77i5DVJv5BM1B7apL0G2HO6K6E5\nqG+kDZv9X00oGcIn5/IS33tgHr7y57lRYB8zJigtw2nBNHcSzXiqoKJw1Xv3z8kId7Iq8wPl+BV4\nXkpMHjlAvz+WlomvXs3+w7uIVke6N6xwp5w7R4FwgpqzayTx7BTcjK86Cpc6ICmwZHDfZnRnZaJ2\nJ4S/lOR2GT2oj+E5IjWtR41oc3XQFbjM5cmkwQ0+rl3hYKN0gOV56X7unIeB1Dhj308/Pikv3+Tn\n5fYNqtVxQeOEcFmukMTPnWLjzk68tnIrcnmJI773KK42EnyZ7SkUAZrGESCb0wV6mmhXANgvqLVK\nk8OZ/Vm9J+pEptkHgk+OxqPFNthUFUQpyclk//Tw3Iz9p8t4j55Fc89LGZMNXN/m3olJBXLG1moV\n1G5w4e5/5zh3TlBzSaBoh4wbUQX5Hn+UahsXXZo0UbQ2ecgW0NybPBEzgikcOm5QLBAkrNgk40tx\nVbJMy0EfNI/ytaEfLytY/E+qmdgif+mtc5x7XFAnCzXFuWvXKELq7urK4oZHF/JL7Xz03BT0qj6l\nae7myu2Cnz2LC3/+bKj92UqycV5JCjaNkXM39NuQ1yKXbe6nJqhGbIO6Ds25xNq+NCNu8KwRTQqU\nUlKH0z6cz8vYu9/NZGHlckmZLq2exytpeRnvX/yKjlMEzEmPOj5E164GGk64R7k7SAhzSlrmvYeP\nSeRfzRfaQgQ6R8uobZFBNZ1wb2ny0JXNJ87oyoDIyf+8wZ9SWmZ3d+Rhkw32a23yedhOxn+bc1Wz\nXdO/r+jH1Vv4qjO5fPw6SQmxqD8+54WhUhTbjMOqSMT+JOEXxbX3z8NNMxfhL7PjApXzvCjHFZLz\nDurM5sIKPdGA149TskXlpuf6Bp0wqAC2xWrQ2AaTlkmSN+0p8uOrMUeFJRvEpE08katthuHcaV+h\nfLUpkLkU29yK0hTuds5dwgxj4cYAp3iYNIwZp0I/K43GE+6kWEeU6zw++3PCVc3OB4/hMxuanhpU\nGGaYICblfkVdIVXfSaJlWpsyyOaTaZnObB6vvrOV7Ri+Rk/+J8KxK5vXfuvOybCdtHQYl+4gDNJI\noGXo6uR3zy1j265p7oxG3pzxDEFNhTunuYuYtwxdXYwc2Bp88jzyn2f7rn1cSDmXM0dLglakNYym\nflBYtC7KLWJ756YBkn0H5Jz/IN4uScKd86Ki3zmkcUZQfd4q3Jlz0eCjyFuGTgiRckE1f1Or5oqz\nFKJllHbOc+7pirJwiofZX7l34QyqRYJqr9zD44Nh/M+33t0e+w1gjCOaQIq/fKXZU849qZKLQmuT\nF/Dhhck4bgzm8nroBA0tN8PM1fUAnjaiE1qYAtUyoQAIc28AwN5D+4Xfj95nCNk3ThPQgdGd0yeg\nvCT7EcGq2i1UbhntmPhgLlR44ocPzY9to77XtH0KpWruWsCY4cGSfLx9P84jxNxu09zpKlDC1OL1\na6lSgUlQXLNnGFTNc9roI87wrNMywbZ8nA/nNPc882xMisoTkR1HO1bGjbYcuHdiyhkuC6bT3ItE\nzjDKmeCDYZLfYJJAZjn3UGhGWm2kudvPtXFnJ7pzMlG7V+A193hWyBzRykxtItTcszntGCDq9H6b\n44Ip3D84/3ZS83LK6MjDgLoT6jl2gg5OHsedL74T09w5DV+tnFSEKm2WZigmJQ+LBae560W6izsf\nHzUdv16h43m7hy6sFKyauzQ9p+KaMdemKZac/RRKuGvFYLQJg2kPp7kznknUhpTLxw2qfOUzfuJT\n6MrmYysAra0pokhZQ66ZuptOKAk2rEqgYYV7XiZrVeZDp++ORmVSJAlkbjlnGlSzueRIS4VZb/sp\ndl9OyFapYOP+pJThasLk5s1rtwWcOxVa6vl05/Lh4OFSmiqowUapKvpdFzDRcVkyiSjs6MjGjHt5\nZj8FgXiEqiaMyQVfeWcLjv/RTM3/WLn2HTAyzslz2pUZ5VkMQs3bIogLpdpNoqdsE4NZd5fur2vu\n0b0mpbdOA1Uxy1aGkHW1DVeG0XHcqoO6+tKJILp2sk2gmwmE68rm08jvopHkCskV4K4kGk64q/dD\nc51zMJdLtIPY8sR0JWjS3DEx4U6SgaXRypPye0zdZwgGtDXZNfd85KmQyxucsdG5I82ddrx8uG84\n0FJ4y3QR7Z+e7zkSxJS3DFiFGYeMimmzXNFjBeUto9My0XcaGn/DowuxdnsHXn1na7htrwG+cB/c\nVy9Krrcv2pY0MRdCOEnR5Tn5zmUb1I4nQs0EFdyHj4tC6W2pNnz6LloJRLSHfr/mM08znymPFdtY\nUqfgNHcpwbpCqmejce75uHDf2Zk8sXQWqbmXA3Oc866fFb8sgAYU7kq6m9SECfOhC8t37ZiEgcfR\nMnGDKp+il+4LAD+48JDYNhMZT1iDmJShTA0smjgMiE9sZjvVOQA/KlV5LnSF3jJ2rZGe2yaoOGFj\n8q0xV0gZ3y/aXwRZIe1UQhJUCmNOa84y92yrKpUGURoFnhMvLNwjoRb7zUI92OoIUA8ZKjCpARuI\nP5c0bqbqPjIWgRmtxEibQ02Wf76RcNfbbQ49ZRi38eTcOKaUaSWxyXAb1W0h0f1UA40n3AOYrl0m\nzBdMZ+1N7V3m7gCSI1S5wdYa9LokzxNzXwAYFuTB4Kq9KGQ8EWroXFvyUoYGXeoKyV6b0dxpygTP\n0NyTBjcVWjY/d41zZ4xbpuZIhY01cVjAuW/b1Y2v3j03TGRmA61235nAyYfaZF7fFlX8SrxM/Hwh\nfRW924Ukla1Z49QEFwmsYJsk7nvt3ej65D7Wbusw/NwRfqcCp93gsIvhiG2FKDjNPVoZkmuRS3UG\n48FfyUWC0dS41TO00lQWH/VqaO5/maO71+qukOqzOsK97nPL7OrKojnjob0zqy3DbFqtgikk6Hu9\nZw4fQJKkuXMJh0zNu4sRngqtzR5UVtHWIKgoSbh7QmBXV47tGEqzUZq7mTckLtzjnHsoTAkts6sr\nh/bObOLgpj/ZhLtZTcr/JMIdRobHfAFXSKg8NxI/f2Ix/vrKKixYy3s8ecxyXz3npJBy8zk3ex66\nDK+eNFCCq4O4nV51z+vhd7ZuJ30WUuKKO1/BovU7YvvlLcJ9zooo5THV3L/59zcxfqifwiEvo+Pz\neX3S2mlMlMUEiNkS6nHpcbkIaE5zl1L3eDGFchehb5KubSLJoaLUmrcmWKq1SrRM3Qv3Kd9+BCdO\nGoZnF/uc7n4jfPc7s2CFiW7jzaeZtZO41smjBsS2tRrCPcliTwOiWjK+sF233R4J+MzijQCAf82L\nl7xTS2zFuVODpH/t+MQC6FqjShLWnYtomZtmLsJNMxfh2vcdbG0XRVeOn5z0SYTX3Dn/Z9UeEyps\nnN6nbWAr+qy9KxvSb5HmHj83ZxMAggjKXDxfdyFIRnOnoLEGCtoqJi/x4Bt8xsZCRd+bjEpDYwb3\nCVtP3QulTFYGipnQbLx3B3OfNAqZ2s7MduSl1JJ0mSEmhapI2ZQOT/gF3u+f+27stzSVqdKA679V\ncpZpDFpGCXaARqgW4NyNF5xmRZZkUG1hOHclNNnrmx4rpFCAOu6OF1YUbhQDRUk1a5p79LvZuTla\nJvSWyedj4istn80JKvM66jFotVdhp5FstExGiCDiNjiH5d23BCmMaYi6ErS85s5PFmriLJWWsVF8\nVOgvXr8T98xZZXWbNMFpuRRNGV+4D2zzdboZh47W4h+oW6RpUH1u8UY8GygUxdAyNuHOgXN31byK\niECnlEYsNUABLdsu3IWVdy+1LGKa8zjOnUGSrzrVRDiYWhrtIKpaiinwuespoc4aVJPSAFs8VoDI\nNbFUKA1WtSktLdNpoWVMYZ62M9oEGKu5GwZUm1+5GuB0uS8Qae5Kk7Y1sSXU3HPh+1X3vZTkOo/a\np86nn1BRXsXmllGPkmqu5x4yKvxO38G5Nz2Fr/1lrm4oTrieWWXJRLPnIZuPaDbN/TEvNf7d7C8f\n+c2L+OhvXtQosjR4c3VysXG9/fFVnDbJk4Ayzc/dGKgFNXdLv/SYHEVm28oFJ0OqpLjXNy1DDVEm\n/NwySZy7/ht9pz//6FG49aklaM54+MUTS8LtuxkOfOEPzwXAD6YkbxdTu6CaOy2QUQoibxn/+jfP\nXITzDhsd/m527lbGWyZLaBlTmKcW7sH5Rg1sw9rtUeEEvXBH1GYFk3PnCjo0ZUT4XSV8onEEtjaq\nNBE7iJ+7bYXhX5vnb9XkUqzSpbReqqErKtHfHrfLaMIuQbDq+VPifbW5ydMSbdHnRY3Ypp87FUhr\ntu0uinMvRuHlKDDN3kA8lzRXyBRZISlsmrsQwmoATuO6nAY9WayjrjX3JJ7c5kmiYM6g9FwjBrTi\nG+dNiWnjf3zxHev5OEHemqCB2zxWAKBfS3lzbugtE5xze0dWL7tmdG6u7dQ7xex7zyxODuNXsHHZ\nnOZu5hBJ8u4B9JWSR3LLrNnmJ+BSh5sGvQde9/nU7buzYb6QjgQPFRvnHmm/1kNZqPNweXz87Ux0\nZUrXS42fZgJ1mjwB3c89rwl0Ky1jZJWsVkQlLdWobtOWe0Ztbu/KxaiUpBKBgN12lkTLFLNaKfba\nrsweA+6Z2FKYmkiKUFUohi/kkKS5m9enmvteA1u13zhPnCSozt+HcP45TRPTr20afuk+vm++vv/c\nlVtj+wPxCE/l0UGDiDzBR0yaAsNGyyiYwl3xyY+8pRuYzSAaNeFQ74ckzZ3zcwcI517kojoXau7U\nHTSZK6dZGJPYAd1nnH9mVIhnNSoGrKD394vOtWDtjpKrSBWCyoxp8v8K4SqK0IxJsQk22OR0Ii1T\nKW8Z5uJVepz1LdzZeodkxk96ZqqjKKMj91JN4UwTPHFQqWVtx1PYqBH/u34ddZ9J1Z4ocnnE8lyv\n2hIlREq6toIaNF25eF55Ll82APQ1Vhx9m+Pvp7Upo12fizw1/dw5jpRq5GpQZvPRakUJLVvh8mxe\nhtb3JN9yJSTNAViq5q7OQ69ZKIhpNnFlTNLcqessJ+CaM7rRWdOQiTJkFlinyeM+c8ecorRYFf1b\nDPSkf2SSISmn1eZsPm5bi6/K013X8wQesngilULLpL2u85ZJCX1pKe1+tsGgVRoYJ9z7GZPHqEH2\n0mMAMKSvL9zVwE80qJoCttk+cSi+Oq2hVWledOVhlpijv3H0EfVcMAWOzSBl3i+3BG1t9vQ82uF1\nom1+halkqkIzqAapWvNS4vTJI/xjgmvY3kFaD5RsTmLC1Q/iI795QdseXl5KbNvVHdJBhRDSMpYS\nhLuZdLU3ProwdrwJT+jCnXv2TRlPM65356gBWk//Ky2ae1IbOJxx4F6p91Wgbswa1URiDvS0CXp7\nTO047QpcCJ/CZNtEzpmktFHYFAsTjnNnwOcVV596II8J0+uCew/9W3WhR9PZcjBzkxRFy6ToMEmu\nlRSdQc72pKAMKhy5FUFa7YwKT/NZc5NAS8ZjQ+/1yMlOnZbhOPcmNSn7/3uBQVVN0h1hPVi75p6G\n61RCcuVmXXh7XlCUG8BpP5mFadc9XvBcAPWW4VcLN89cHG9DPv68TDR5niaYOE1T+blHq1vKuRtj\nR+Pm9XMVo7kXihTmkCNUoJnoTH2qR5LNy5i7idm+tJGnSfvRyZJb6XJIK9wdLcPAFp0JRK5dzUwR\nDSB6WZlAIHE5MGwG0avPPZDd3tGthz1zAUbm9cNrpRDclLs+Z8pI636d3Tm/ekxCn9aFMkPLJAxg\nlR4B0Gtkmp2Z48rTaO4/fniBPzGr9AAMJ65+UwNSae7qf6XtqwnH1N7yeZl4jwo2QRalGZbYskuv\ncC+lxHX/nI+5K7fimntf1zxzOM2dYvTg+OpQq71rOS7jCTYegFKXLU265p7N6/SHvp2/PoBERwUT\nSVHWNuSknqLabAd1lS2UQwqwR8maEAn70n6QVrinXTE4gyqDpArwammXsWju3aHmrgo+cMKdfzwz\nDhnNbl+wVnfNtBkegbjgS6JcPnrc3rFtZx5kX+52ZvNshRoKqmUn0UccBrRFAoP6a8eEu0Vz7yzA\nuQMIaSVP8Fn81LXUPWYCTxC1XFduq6uCUn+mfaaL8QLiYJsAMsLXgjlue8POTtzy5FJc8PNncddL\nK/GrJyN3Wup6yGHSiHja4TTlGTNG9Knab3j/aCJWmruWfIy0R020XYb7a0xzL0IY2VbOSfBtRv53\nLj6D5sEplEMKsOe3ie0nBI4JYlxMZDXhno4eTU/LpNqtaNS1cOceCtXcaQi+CWUwjGiZ9Jp731Z+\n++C+ukH1W+dP4RuO+LLZ1P6oX7rqJHSgnnmQXXPv6M4hn09eZlJtvVi/epvWadI7rObelGFz2Jje\nMlKqsmdeqLnTd6S+q1v0hPC1cabgtn9dvR8Uyr5ots+EEhi3PLU0/ltCUE0hLdOW1Crpd/+aRp6W\n4JhmY4VGk8hRzV39D/jP3jR6jx8aVV/K5e22LBOL1u8svJMB6unGuUJSbxo6oduQVoP2BPB8gWpd\nQDG0TErNvUphTCULv6ZGlwAAIABJREFUdyHEeCHELCHEPCHEW0KILwXbhwohHhVCLAo+hxQ6V6lI\npGUCDtH2gNWAUcZKrgPYjlV+6O87fIyxv/84Z33tNHz/goNx6Un7WttuGqk2GKlBzzuUCne/HeeS\nFUOSL/zCdTsCisK6i1Hcu7huYBOMpo2Bjei15NvJEoHxiRMmBN4+/ntRgoYOKiVAKS2TTaBahADa\nCPX1aAJlRmGnZeLblMJgdkvdeJs8kDkag7r7mXV8FTKeYNM60+e9YM12LW+P6VGmaf7kOrm8Xqzd\nLwSTrs8UslNxMFMRh20iz1dT4grM01sNxQng6RchRCrvnrQG1bSrllrU3LMAviqlnALgeABXCCGm\nALgawEwp5f4AZgb/VwVsBficPrvbXJhMP2BusI4LMuaZaG3ysPAH5+LGDx2hbb/2fQdj1MA2jBvS\nBx+fNiGx7Wa7zjJolhmHjsar3zobC74/PRxIdALqk+CW+co7W7Fg7Q48EVR0Yu+BCLq0WpgC570C\nmBOGYJ99LJkaSSOc8URI+eRDzV2E16OD6o0grF0pySpClQp3el/rtnemKg9nwh7pGn9m97662r+X\nBBqj0DimE6d6VqccMCLcZtPcM0FqAQWlPFAhvJ0ECQHA315dzWrugJl3XE85kJOyJLolLTRXSIth\nl64+SuGsOQHtCYFPn2xXyJKO5WCz95moOc5dSrlGSvlK8H0HgPkAxgK4AMDtwW63A7iw3EbawA08\nteSX0ucTN+7kMyva/JYpKLdMOVvPE2hp8mJc3oxDR+OF/zqzaE0Y8EP0TQzp14K25ox2vls/fjT+\n+/2HafudOGkYe86k/POU4y82j7WZ31uBdnrbM4hp90qLzPmaezNx1xPCt5kogccth9V7bAmKilMt\n13ynr7xjt4HYYFsJcM+syxKR+7tnlwdtTc5USs8BAAeM9DONDiN0XJfFJ9983ErJoRMuN4fT9mia\nu1HUQ49sLd5OUwyymuYep5rodt8tsnjwwj0quZhEvdjSF5hIOwHWtLeMEGICgCMBvAhgpJRSRQKs\nBcCSw0KIy4QQs4UQszdssGuYSWCFO0k+lMZ/dNwQn0vkBmt/Qn3QAVYNJGkDtBbqOQePwgenjtd+\nLyVdAaUoqBCkj6HYAdycguoxB02OcOSeJyLDqPT/b/JEOJi4Z6Ta25Lx86ubAUHH7csbyNLCFmrP\nCUqahZMD1x2/Pl33vKK0TFjdiggTLlUugJhtiaNlTK+oQX2atTZphtusrjFTbyaalK4QDmRSYStY\nQ/0p5y75CYfm3Sk0zrngQ65ve57AhUeMxf+8/zB89tSJ1vMlrZopbPY+EzXr5y6E6A/grwC+LKXU\nKiRI/w2xLZdS3iqlnCqlnDpixAhul4LgxlAk3P3fz05wGQSASXv53gmctwzVzD9ziv1lp0Eh40qy\ncI+yO1YKtIPSiY0uJdMuP7n9NUNeQsAULYbRFAjzbFAEQ+VpV9GcSV4KLU2+i6X5jJaUwPnq7UtP\ny4R1Py3HcIPYVBqWb4pHElN6y+ZaaMoRxXXToiUm/TZxRD+rV0w2b6dlsvl8aq3049P2sf5mE342\nWkbPcaP6TXJKBgA4ZOyg2DabouB5Ah+YOj7RNTntxJbWoFqLnDuEEM3wBfudUsp7g83rhBCjg99H\nA1hfXhPt4AZL5GomQ4GRhLSz60cCd8RSl6N/+ewJib8nnVd1JtsMb9t+CTOwlFCitAyd1yiVU6xw\nf3drFOhDNfSrpk+2nrObaO4ZzwtzxCiDcEZEBlXuGammNyvN3RjpNlouLZIyCJoY2OZ7S9kmYW5z\n0nvfFdQCVfffnPGrb3Gw9eP2zmh/0wGABjQBds7dTPPblcunHgdJ48/mxWJ69HBt4gS9DdxlbJx7\n2LYEqjLtvacPYqqOdC85/aDwe/dtAOZLKX9KfrofwCUArg8+7yurhQlIeii5gIujL0wt3SlmLvC9\nJtZawsd/c/HUUPgtv/68ktt6+LhBOOugvfDYfH6uS3q9KhrTlhCJnpOm1/37a/GKMsrXmSYqsw2y\nYicy+jqo1nLYuMHWcyoNMZeTyHjA7q481mzrwITh/SCE8Dn3gIpI0qZamjx0Z/NWrblU2IR7RghM\nGT0QYwa34alFG9GVzYf9cWcnH5WpJmG/mLe/LSkpnNpHBS61NWXYtNNAOnc/M32G6Qqp+8nrhlb6\nXDu68+gW0f/cuFIY0tdOZ1LBT/30qc991mhH2D6GorGBus0K+M+VpWVE/BgOaTXyeubcTwTwcQBn\nCCFeC/5mwBfqZwshFgE4K/i/Kkgax3npC3/6gLmXoh6s6WeucNaUkYk+5WkhhMBR+9i9QpMi+Zq9\nZC6X4o5Ljw2/b9vdHeukSpuggtJmUKXazYRhvOcQxUGjI36VHku/mwKaejc1eR427uzE80s3hRG2\nTZ7HukIqKA26tclDZzafmBHw86dPKngPJuzeKapASLR6UMZhW5ZJavxVGMkY0hUU36w01tbmjDVp\nm01DppOBqUmarpCmlpwJaDI/TYFEn0Ah6OjOYd2OKD+/qQXTphw6Lk6JKNAAQzP9hhLeuiGXfM/p\nbU0CdZtVK5xCmnuSk0FajZxGlCeh5jh3KeUzUkohpTxMSnlE8PeQlHKTlPJMKeX+UsqzpJSbC5+t\nNCQWag6WklS4cWH2PYlcguBJEtyqM5la6a0fPzq2714DImFxybR9rBWE9KyKhYX72CF92H0ojto7\nmrzoAGhN8KKhCcrou1KpBDJepLm3FODcs3mZOND3STFBmbDTMr4Qy+VluLJ7O+C3belh1SCmzyDj\niTDhXGz/4Nk8sdB3OGhr9qyaexot0dRWc4YbIaW0unP5MM5Aae7qvnZ0ZDXawlSappPKUomBdNQW\nYyTOi4LR+OhcrrC2DZFwT07qR6k2tR+nEKYV7otTBnBVSXGv7wjVpDDoMHGYliCr52/3W+dPwTfP\nOwgA8LHj98Hpk0fgqL0Hx/ZLesFK202TSZK6b157wSG489PH4/8dNTbcZuZk8b/z1y2WlqEGaE1b\nTxDKSqBkY8I98nNP0tzN67UzWRXNffa2xC9wsKUDznh+1Z68lKEHy89n+WkG2CLIREum95EJ3D85\nmPlV2pozViUgje3InABUsJDqCiYto7Jtdmd9bn4iSY1Asz2a7ReIrpPkZUv7oKm5h8FtlJbJWbT4\ngsJdtUWEz4B75vRdq77MPddCqb/TgI65mtPcawFJz4TrHC3MLPxfM/gkYJXCpSfti0+fvB8A32/9\nd588Fm+THDShZiCB333iGPz18rjhtY2pcQr4tAsA9GvJYGRQ4MPzBG666Aj86yunAACmTRyGn34w\nCrbicunYcm9QAU1XBDbQiZQ+dyrMxpEVQEsmCrzJM5q7EDoXm2TgVRPRrk47vaWMi+9s3mXdx4Qt\nGjdDqj+Z1BfHAV/w82ctmrtd6YjlH0r04CisuZvUjXI5VR5SJi0TRQjngutHQm0gqV0Qaz/lrhOk\nO/3JtqrWtfXCOXY4UM1dPQOuLy1eF2naqt3ciujAEoLhTNDrc/mEKoG6Fu5JM57SCGlO9mbmhU4e\nVf6LKhZ9SZs+f/r+AIB9h/fD6QfuhaMZXl51MLND7x+4cV7374fhwS+ejEe+7Av0C44YGwbAKDx2\n5Sl46b/OJJpLcbTMSZOG467/OD7xvugk8QYpjGyjxlqbPW35TQWBKjaiu1HG358a8CpQaIdhzKQF\nVLbsSseBUpjCXbVHCIGMEMjngTFBJsdPB+kmON7/jdXbIINTaV4ZnhdWILJdW933m6u3s/v57eKH\n8hfP3D/83seIh1CauzpUc3cM0ic3ZaLcPn2IcKcTjSkoaW9KomXWbY88mWiNXYqssZrgtheC6pd+\nIXW/rZz2TfuO6qaFDK/F/EahJsSLp+2D4/bjgxDLRZ0Ld/tv6uWPJCXrOA2pyMj7iuAjx0ZZHi+e\ntg/e+O45mDC8n3V/1cFM4X7Q6IF447vn4H2Hj8Hw/q2YnBAwMmmvAdhrYFv4DKgwsD2D1VsiodOU\nEZg2MbkT2ox6VLg3k+9tzZnQcBbn3P12zV0VTRKccFeUCE20NoLkB7mF2CXSejlQxIR7mELY1zxz\nMp7bpBDnToV5kmbLleSzgWqY9D3QmgRUOCt7gZSR59QuQml15fKhzaNDeesQga4HrOn3YBomxw/t\ngy+ekWzMttk2soZLZri9GOEeNEfFUQD6s1Cg+Ya8BM3dEwIXHDGGjaFJa9dTHlXllvJMQp0Ld/sL\nVoKQapOccN9nqF2oVgs0e2QmIzCgjTeoKagOw2mEhY6NnYsxFGU8v7MmIUkDU540tn10TTX63qc5\nE97Tjo5sLFDG7PhJ3P17Do6MeDMOGYUj9x6MGYeOwvGBVjRyYGvqmAYKU+ioc4TeMsTQyAUdUXD9\ntYQmsaDCivbzUYMiGox2/9amDDa1d0LKKMKZUlrduTxEQGMoTy664qTXiGnu5LV5HvD0VWfgcyV4\nKvntsPvep4XqR54Xce5tBXhzdQztM4eP921lQgA3XXQkfn3x1NhxVNM/K8HL7sjgXMXmdSoGdS3c\nE/3c88qnOHp4m9vjAS2VGlzF4OPHR8FFaZILhbRMBXy4OU1h++4sPnHChNj2fclq4ulFCUnIAqFL\nn/XHjo9WJxlP4KEvnow//sdxmlBoa/bC9/Tiss14e11ki+jszseEeRLnTv3FM56Hv33uRPzio77W\n/quPHY2/fe5ETQv74pn7sxSYCTOXi4rsFUK5QkYBPrnQzmPT3OPbiplwDk9wK6QRx83h6kLg/ENH\n40f/dije/sH0kJIAfBfJ7pzEjs5suH+X4S3j59OPhHs/co0kRwWOluH63YxDR8W2mbBp68UId2Vf\nopp7XzIZnrz/8NgxoXAnfWZ4UKQmSdum+2/v4N2rAaB/myrJWT0BVNfCPcmmomZ8+h4ox6dQzWWR\nDU0ZDwu+Px2PXXlKqjwVIS2TMmFRElRBEZqHfOyQPqGQoe6CRxKvHpVQ6VcfOyr4vwUvf+MsvPhf\nZ4ZCl9IRU0ZHgsgTwJQxA3HCxOFa529rzlgNY+1d2ZgwT/KW6UfoBzMqdfohozBmcB/NiHzl2Qfg\nr5efoHkScTD93BVXmwkqMeWk7s4J2CfhWQviAWzFjO3/OGU/62/02ajnpjx6PnLc3mhtyrClJIFI\nOCttHfBzy3iBd4ni3GkBdK0egCncGX9xjn6amMKQaCYwo0jrzbVum8/ne54IKSjKuX/nvX7dhR/9\n26GxdqtWf+KECSELkKSQ0Wfx0rLIC/zpq07Xzq+82pzmbkEqWqZAxkNPCPzbkWPxJWJ46gm0NWcw\naS87R06hbiFtwqJiMWFY3/Aa1AA5f01kwFO55KcfMhpLfzQDL3/jLIwY0IqRA9tCYUIpjGeXbAy/\nU2qMdua25oyVO93ZGRfuSYOZau62fvGeg/1lMk0KpQY5vW8KMyBJeS49vWgDMsJfPeZyhnC3TMJr\ntsWNhmnTwgLJNiaqAYYpoo2+b9MSFd2Sl7qgV94yHcHqRVsdULfXmHCPvqtLch5ZZs1hDklBaUm+\n/bQNs1dsAQBs3dVFgviie9lrYBuWXTcjTDECREqfBLDsuhn4znunhIpiYvQq+e17Fxwcfh8/tC+G\nkvKUKimh49wtKJaW+ZCRTRHwO8ENHzoCXzn7gMo3sEI4aNRAXH7aRPzsI0dW5fxCCBw8ZiA+f/ok\n/OpjkQGSpjWggtbzhKadKVeu1qYMxgyKu0xSIUM51LbmDDa3d+GOF1bEjtnZkUVrk6etHpLSD1Cv\nqNnLt7D77DWgDcuvP0+rgatcPL98Fj+5m5q7eg5bdnXDC0rtKX/0kJaxGFRVLVUaKdunJaNV2EpC\nUn+nk6aaREzBYTPeUrplQPAct+zqCv3cQ86dCESquZvX0fzcYRdeafzFbRQXkBy3Yps0Q7da2n6h\n92cAWLbRT7y2YtMuiOD3JCNreF0yTi44Ql8VUjuXmiid5m5BkiYTae7Rtn5MHo8kb4VagecJfH36\ngRg9qHCUaKkQQuBr75mMMYOja5i5P2y49oKD8cuPHoVDxw3C3684EXd++ji2ahKga/cqcOVbf38T\ngC84lVfFzs4sWjIeDiCrGzogP21UuaID3RZ4xOGzp/qTpi17qGlQpe6UXpB+gJZ/A+wG1XU7fLqI\nenC1NnmpuH8Amub3P+8/DN99b1TGkXs/5jbbIoEKWUW/+ZOXHxOwMPD/5nh9IC6ghABe+dbZuP1T\nx6bKdpqEJDtTkvcTm7UTAvOC1Sg9lhMBj7MUWuQGa0OS6y6dECPbjfVUZaPOhXuCn3vQKehL7sfU\nPi22UEW9QwnPa993MGYcOgqjGU1b4QZSaSrpMbU1Z3BuUBZwr4FtOHHScGzfHRmTqFChbn2b23W/\n89aMh32G+UbcHR1ZtDZ72oRM0w9wE7XCVdPTB6a1NHk4/7Ax1gRXphviKuIe6okozQXAB85RKM2b\nCjwhBC46xqcDVNyCDfsM7Yf9RvjPp39rk1ahievHpoCjnLmKmgZ0oy6dQHxjKpmMieb+3JKo1qh5\naRGc59QDklN5U0Go7stEkuaeZIzmtGuznYqe4yYZTraoPp1k++LSbvzneyYH7Y0L/rSFP0pBnQt3\n+2/qRdBZluOs01ZGbxRcec5kLL/+PFxywgT84qNH4/lrzrTue/aUkaH7V7HLR+pzT1dH1FdacaEK\nrc1eOKg6s35aWTru6OSc1B4ztW0a2CaLJK+MjCeQI94y+QK0THScPuxOP3AvLL/+PPwq8Mk/xSIU\nPS+aAITwedzTJo/AvZ87gTWWmgKKJn+jNgZaFJpOPObkQH9btH4H+cXu554Eev7j9uVjKGwJ/YBk\neoT2D1XlrDObD/P4ZPMSV597IJZffx4r3G/6UJwCfXqRb0ea9bY9izk9lxACy68/D1cENJxpbwIQ\nxhBUA3Ut3JM4SNUpaEcbw9Aae5hsLwptzRnc8rGj8c3zDioqHwsALUKWDuIkwduS8UKuE4i7PlLN\nM2lSTtLqKwlPCE2zVJq7LZOk6q42NmLiiP5Yfv15+N+LIsFyGHF/zHjCSKvs4fefPBZH7T1Eex7H\n7+dXnzJXEANJTAQdF/SdPLkwcnltzniakZGu8pLmr7SLYRo09e3zp+DKsw/AY1eemu5gJNM6lAKh\n0a+qillSCUoA2JtJMveBo8cB8IMHTah7TpxwGK3eVo+4Eqhr4Z7G19UTkR8rzVqo0BuukLUOKshH\nDWrDp0/eL5Fn5EAFBj22KePhr5efgJsuOiJ2TGtzRhM6M43c91TzOYzx+d4vIcq3FCS5XgK+gKTL\naqW57+jgk5c9/NZaAIV9m5ubovs8nOTCzwiB0yb7CbtMN0K6Ojpxot/fTTdTOgHQVSy1s2jn9IQW\nHEVpkKSo2bRdZePOrtAA36clgy+euT+G9UtfzjKJc7et7B6d70eh3s/UOuBABfnQwPDN3Z8y4CZN\nOLQ/qRgOW9nESqBnVJwqwSbbB/dtxlaluXsCv/3EMejozrHpUvc0zj0NZn711MT88mkghMDc75zD\n+rEfvc8QHL3PEEwY1g8X/PzZcHurUXR8U3tXqKleNX2yNhHTAiAKD33p5IqWImwJcsTb4CfVigfZ\n2DhZ1baMEFjw/enWtrY1ZSCEr+nTe/Y8gQ8fOx7nHjIKQwwh2MQI7qQQfWpjsNmuFq/fiekk8pcK\n0+9fcDAuv/MVAAznnnJMtWQ8PP6107TnUMyqa/lGewI4m9L21bMn44o/voLPF0iHAABvXvsedgKh\nHkCeCIp/NPl1B5ImHOquG2ruRRj/i0Vda+62TqlXfPdTqg5oaw55Lt2gVd021iPU8yoXg/o0h94X\nHBSfrzBhWD8MbNMH9+WnTcSFR4zBxdMmGDno4+dra86URcnc/qljceXZB2BiYNzjNPfbLvFDzieO\n6Ach9AhWRWmYQtVcpWSCYBpbWz2iMZuRoEKImGBXxygo4Z400fVrzeBzp/kGRVoXwaTCqI2E0grK\ngM62P+WYasrEn0MxpR2TqBWb5n7eYaOx/PrzcP5hhe0y/VubtCjpy0/1+yKNvm4KNXb/eknKIs2k\nqYKY0vj6l4q61txtnLvmk02etQpAOXHiMMx62x+IpdZEdagMlvxoBv7v+eWQEvj3gNP8wYPzAfgD\nZlj/VtwYcNBUGxNC4A+XHqfl6SkXpx4wAqceMAIPvbEGAN83lDdJ/9YmZIRg3R7N1YryAFJIQwX2\nbWnCrq6cVq2IS3YVnpMIlTT+44eOHYQlG3wXR5q0rtkToD5MZgDaP790MtYywVhAlJ457Wp4oEWB\nOGfKSPyLJPGiUJpyIVSjMM/gvi1hX1TIeALIRTIn6d5prYWzDhqJ7753Cj50zN7W/ctFXQt320tu\nsfhYtzR5eOTLp2DckD7ISYl12zqK5pIdKouMJ/DJEyOfdbpMNYUgNVZ5AjiJyQlSCSjelOsbYZcL\nglo42sk0ZC5ct0P7P43nkVo1vLvVF6R9mjOJWi0Vwn1b7MP66atOR2uzvwK48Iix2GdYPxw5fjC+\ncNerAOL3fMiYyLbRnPEwedSAmEFRHdFUQLgfOnYQ3li9DR+aOh5/nr0SUyfw/v2/+tjReH31NlxI\nKDuFjCeQL1AzVbVFYXj/ltQl74qFonpVn0l6tZSP9zyBT5B+Xw3Utdpqo2U6uuIVVRQmjxqAfq1N\nGNjWjP1Hpgv/d+g5tDZlcE0QQWoGbWU8ftKuNNQSm+tf6qotGYE572xheW3TFXKL4c+fxv1WpQX+\nx9x3sfiH5+LNa9+TuD+dCJNytowf2jeMyhVC4Ki9h2gC/T9O3g9fOSuK1qZ1f01PkP98z2Qcv9/Q\nUGgVWgWr4z8+bR+8/YPpsRWNgucJHDF+sJYmQiGtMrZ0Q+R1dchYe8K1SiHyhKodZbG+hbtFdX+X\nLBtr6Fk7pMRlp+yHy0+biN9+4hhtezVDtSmUsOI468PHDcZlp+yHGy86UquROWJAa9g+k6qZYfDT\nxUZFN2W8gkKDnrMcY/i0icMwsE+k+fdPsGFccfok/OmyaTEayDbx3nzRkfjMKfthyuiBiembFb4+\nfXJsW9pnR/n4pEC9SkFNxrXEBNS3cE/BvTlvmPqDEH66hX2H27nqar7XEyf5dA8VCvd8dhr++Onj\n4HkC/zXjIIw13Ad3dWbDsnWm5m4GzxWj3RWqfqVAVwPDUuaqoZj/vem46aIjcOy+Q7WU1AAwKQic\nskXeqiAoVcnIdnvjh/bFNTMOSh04WClB+fUiIpbLRaFbq6SNqBDqXLjrne2K05llXE81xqHqoJp7\nNefsz58+CY9/9VTN02fC8H44YZLO8dP6u+0BFXjbM8vQnZM4bt+h4W/mCrMY4X7AyHT1NXeTgKBS\nchD1acmEia6aMh7GDGrDsRP8e/hUwA2rSE8TNCUDUN2ob86duRBamzKY/c2z8Nq3z65Ci3woSirj\nCTx/zRlWGu3J/zwdL33DHhVeSdS5cNf//39HjcMhYwdq+TFeW7m1h1vlUC14PaS5e57AfiP6YyZJ\nHsVRQlw+mlueWopcXmrGs6GG62Ia4V5smmezTOOXztwfl58WV3bS4rlrzsTdn50GAPjIcXtj+fXn\nYZBF67zMyDOfFDleLJRr7LFkslSg3if7Du/HRo4C/rMc3r+1Km6HD3zhJBw8ZiAunuavdgQERg/q\nY6WzBvVpTlVsvhKoa+FudqIhfVvwwBdO1iq8mAWTHeoX9HX3tC2F00ap98olweDesKMT2Vxer2ma\n8bREXWmE+8FjfEGVhpsG4pGRXzn7gB6jI9QqpW+K4Kli8fp334Pl15+HkyfFPaO+ff6UUKBfdMx4\n/PNLJ7OTQDVXeYeMHYQHv3gyVmz2A6peXr65wBE9h7oW7iYto8bMN2ZEqVBPYjqFQ32CGjh72nDF\neYLQ7kcjWTu682jyPNx3xYl4IUjM9ini9rZiU+TJYcMdnzoOd39mWmoKh+Zp6WmcceBeuO2Sqfhi\nUPCmklHCCoeRgDeV439Qn2Y8+IWT8OuLp4arB64UYU/Y3V4JkuCt3xGv9tZbaCg/d6Vd0aWs6ang\nUL9ISvFcbbQxAUQ0r8xWkr3w7XU7kPGEFoFLNf9JBVL7AsCQfi2sFmoDV0KypyCEwJkHjcTKQHut\nhnCn6YOH9lU5XvwygjQXPxf12xNqANc/eht1Ldw/e+pEfPLECZj8zYcBOM+YRkehfOc9DepuZ2rY\n80iJQoWxg/tg9dbd2D9lecVikBS92lNQBc6rpb1eNX0yxg7ugyPHD0FTRrCFrZVt5PLTJuKXTywB\n0DOrvCSX0d5CXdMygM5JUh9Yl1ag8dCU8axFHaqB/37/YQDsnC11lRzQVnhw/+my4/E/7z+sqPwp\naaFS8/ZULACHF5f6fPPrq6rjxPC50ybhgiPGYu9hfXHLx6ey2rJKO0BTMffEI7nynNor01l7000Z\noIPw2avPwPYOe6J/h/rE3y4/EWu27y68YwWg/N2vfd/B7O9nHhTRAaNSBMqMH9oX44vMi58WzRkP\nj115qrXQd0/g/VPH4b8ffrtXKaJjAvfNEyYOx87OLO56aWWPaO5TLJ46vYmGEu50aTxiQCtGDLBn\nJHSoTwzq22x1yas0xg7ug7eufU+qRFzV0MaLRRouv5rozvaeTUTh6H2GYN733oO+LU049YAR+M57\n+Ym50hg/tC/2G9EPFxpFsXsTvd8jK4h6KHbtUF/o19qUSvMb3r9VC5LZE720Ph64g47pgXD/JKjE\naV6QWrmn8PhXTws9hmoBVdHchRDTAdwEIAPgN1LK66txnfh1e+IqDg5xvPewMZqXFs35vadgaL8W\n/OpjR7EVzxx6HhUX7kKIDICfAzgbwCoALwsh7pdSzqv0tZhrV/sSDg4aVH5xRQnO/uZZeGnZZkw/\nZM90wd1T77sWUQ1a5lgAi6WUS6WUXQD+BOCCKlzHwaHX8YuPHo0j9x4cpgke3r/VxVY41ASqQcuM\nBbCS/L8KwHGkWdmSAAAFFUlEQVTmTkKIywBcBgB7713eEvafXzoZzy3ZVNY5HBxKwfRDRmH6IaMK\n7+jg0MPoNW8ZKeWtAG4FgKlTp5ZlZj9o9EBr0iAHBweHPRHVoGVWAxhP/h8XbHNwcHBw6CFUQ7i/\nDGB/IcS+QogWABcBuL8K13FwcHBwsKDitIyUMiuE+DyAR+C7Qv5WSvlWpa/j4ODg4GBHVTh3KeVD\nAB6qxrkdHBwcHAqjoSJUHRwcHBx8OOHu4ODg0IBwwt3BwcGhAeGEu4ODg0MDQlSyUnnJjRBiA4AV\nJR4+HMDGCjanHrCn3fOedr/AnnfP7n5Lwz5SyhHcDzUh3MuBEGK2lHJqb7ejJ7Gn3fOedr/AnnfP\n7n4rD0fLODg4ODQgnHB3cHBwaEA0gnC/tbcb0AvY0+55T7tfYM+7Z3e/FUbdc+4ODg4ODnE0gubu\n4ODg4GDACXcHBweHBkRdC3chxHQhxNtCiMVCiKt7uz2VgBDit0KI9UKIN8m2oUKIR4UQi4LPIcF2\nIYS4Obj/14UQR/Vey0uDEGK8EGKWEGKeEOItIcSXgu2NfM9tQoiXhBBzg3u+Nti+rxDixeDe/hyk\nzIYQojX4f3Hw+4TebH+pEEJkhBCvCiEeCP5v9PtdLoR4QwjxmhBidrCtx/p13Qp3Uoj7XABTAHxY\nCDGld1tVEfwewHRj29UAZkop9wcwM/gf8O99/+DvMgC/7KE2VhJZAF+VUk4BcDyAK4L32Mj33Ang\nDCnl4QCOADBdCHE8gB8DuEFKOQnAFgCXBvtfCmBLsP2GYL96xJcAzCf/N/r9AsDpUsojiE97z/Vr\nKWVd/gGYBuAR8v81AK7p7XZV6N4mAHiT/P82gNHB99EA3g6+3wLgw9x+9foH4D4AZ+8p9wygL4BX\n4NcZ3gigKdge9m/4tRGmBd+bgv1Eb7e9yPscFwizMwA8AEA08v0GbV8OYLixrcf6dd1q7uALcY/t\npbZUGyOllGuC72sBjAy+N9QzCJbfRwJ4EQ1+zwFF8RqA9QAeBbAEwFYpZTbYhd5XeM/B79sADOvZ\nFpeNGwFcBSAf/D8MjX2/ACAB/EsIMUcIcVmwrcf6da8VyHYoDVJKKYRoOP9VIUR/AH8F8GUp5XYh\nRPhbI96zlDIH4AghxGAAfwNwYC83qWoQQpwPYL2Uco4Q4rTebk8P4iQp5WohxF4AHhVCLKA/Vrtf\n17PmvicV4l4nhBgNAMHn+mB7QzwDIUQzfMF+p5Ty3mBzQ9+zgpRyK4BZ8GmJwUIIpXDR+wrvOfh9\nEIBNPdzUcnAigPcJIZYD+BN8auYmNO79AgCklKuDz/XwJ/Bj0YP9up6F+55UiPt+AJcE3y+Bz0ur\n7RcHlvbjAWwjS766gPBV9NsAzJdS/pT81Mj3PCLQ2CGE6APfxjAfvpB/f7Cbec/qWbwfwOMyIGbr\nAVLKa6SU46SUE+CP08ellB9Fg94vAAgh+gkhBqjvAM4B8CZ6sl/3ttGhTIPFDAAL4fOV3+jt9lTo\nnu4CsAZAN3ze7VL4fONMAIsAPAZgaLCvgO8xtATAGwCm9nb7S7jfk+Bzk68DeC34m9Hg93wYgFeD\ne34TwLeD7fsBeAnAYgB/AdAabG8L/l8c/L5fb99DGfd+GoAHGv1+g3ubG/y9peRTT/Zrl37AwcHB\noQFRz7SMg4ODg4MFTrg7ODg4NCCccHdwcHBoQDjh7uDg4NCAcMLdwcHBoQHhhLuDg4NDA8IJdwcH\nB4cGxP8PTAhCdZsFv4oAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(ts_breath_hp,breath_example_hp)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
},
"colab_type": "code",
"id": "qgDA6SwHpw1B",
"outputId": "1c419124-3c65-4209-a633-b5fa6a95d53a"
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fb8b76d8400>]"
]
},
"execution_count": 26,
"metadata": {
"tags": []
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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mzbwXk2beq70j9V726d+snVeeU00lO38/aea9OOsHj7GrLA5WG4xlpVtUaNGV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\nIVnckyRJKuQ31+cd5Whl0mAAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(ts_breath_sp,breath_example_sp)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 409
},
"colab_type": "code",
"id": "iuGazpQdqdGx",
"outputId": "2eb3a55a-9a3b-4019-822a-336f1ae3aa53"
},
"outputs": [
{
"data": {
"image/png": 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tQgnMfWYq9pCqn71Rm2teKhW7iGwP4HmIGWWqenc3hSLdgSM29UERjpyuWDte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\nN1+R4903mtCiWi8qYrcDftXdN+Btn3t//Xe1Jixo+khr/lcGSyaxXm1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FilUjaqZZi1Qq\nyveQivh4LLcRkX3XZ2Ouc6VaL0W+o4yYDBOfyUg8k6gjZaSs7gbMwI108PX5qnUJZubqTw3rtJdR\nai3NKZuv//Cy9+LNV7wX3/O137L0nQhrHas5Wa50PN7EHtoLmjtdj9nYFh6sCS0WDOJYHPnN1LLp\nWTyOBMiCfQB4zepCS2ZAxl/7+PM3XEiYa6/xb24f1S1Q3RJ7ChGBdF1T1gOOuATidIBcIXtWw/se\n3l3727e6H2fglDqHhIRvfNIl+LpzvgZvvPSdjYBkc1AGkQOlWyLJhPwzt1yJV3zwjfiW878en7r5\ni/jiL759Q3M+0rBFp44t9JjLa+65CU876wJS8PWYSfqb91hhKNUywoqKZeeDY66yi1HOnCeOvknV\nmHNChmXHNOrLF7sR2XjUU0RdnhIGzMZZtaSpy73GVPMa9Jhsna/Wg3TCgRO0iuVqPs+M+WSoNa94\n/vnvkeKporXdrkfhTxcsr7O71DDoLCwxPxFXUFAsVwGv9RRmPezPQiAXbraxSVWMsXDKQroqxSbD\nUHmyPDZpfntxgBEio8+PrUUX2PI30J4B0GR5RFij9dCclLxFtxc7pv/mWO1F8+txK6z06EE+h5bN\nmvePxuzrfIGsdInfIp9jGtMSnrFR6nfO29GE9WYL/Acppe+mf/9qSun2lNJfppTOOXrDe+wAb+Q+\nMtDf0Rhx5xbY92f1fsGmNcwOaNlydeYJp+W2gYqsey5HIwW/zkdDxPNyGHIbnsCxFU4AV2hwWe2L\noZMlrmeW7sEoI7ZPV5Y+swh6iNG5BdJ6nrBtB4A2G49rDxHRmeUqHnwl8GtpSo8U9NZxUSafZaB7\nQvfRkYIsvJg2lDMcZcuVaqsWWTL9mj/p1LM2PIaqVQ/fRJUOGkvx5NMzmpt1LFesZYwIfe/BfdV1\ndhmwJlmJE7/X0wa+4bOWAv6Nn32XtVXwx9PPuqC6Jnsfe8fm1j7j2TZhmjXUZtFtifCxIVqLYItO\nHR6s26BFn/mHnvGd2HNgL17y5l+qN5uU3R2YBaWcxqNqenEgWlesRVNgzauyUQUNTuig9E8Z7VyH\nqiR3CZaNHhjTuVgTD+Rzorg9t5+ye/44koukMZb8ns4zxkjq/5ubnxeo6t/ICS2yC5S34ukcGK8s\ncqvj8x3xqo4r0q7s1qXKmb6AY8JXxK+CKRVddm0CjhbGkia69hJ4otYTxpSZvB7ub3QscpUXs1+3\n/vCg/IFL/rDEcqX7sTfvUaz2o/Jfa7oFhjVk4SZnFzSFx9jF6V4Z7sfVjp/79s8u996w82mKZ10L\nx3t2rGubYY3iO+tRrBxJWK+m79/rHyV4+JcBvBbACoBXHYmBpJQmKaXPp5TeU/59QUrpsyml61NK\nf5xS6mWBQkrpl8oz16aUXkTXv6dcuz6l9PIjMcYNQxcpLNJyByKSPNNvGoe+ND5WF4lUhSHbyKqd\nH0s1dx/wypYJPnAsdA3Ja/gjI8gxX+xO1M4TC7Wb+s9FzDQjgc26tvSQArdVv81o63b68afU+w/u\n3+vGGi0eLqEF9VEFxyUxV8dCozLbhHCle/PIp9o2y9U9D92P7/zdn6532HK11rc2l4HN7And19av\njk0ZooRUBYme60lWmPg9r/Bdv/+zeNl7Xruw96vvubG2ERUovB8WagMDc6NjSCm5mnbMqPoCnDpv\nYuDKPSeI1/1u5+KRSmCxBP69/rFFp5bO4rDe5n35hJPPdLhwFI254t46Sh7nDgRLaBEFKmYqA46d\nlzijXM5BKl3R55T+ZXqR8Ve1lLS89MJ5LmLGajxYOSeaIXBIqcZfTapApUwzt2tnMxZaVmvVQIJj\nvU7jHmUkyxUz0e266RrVtYVdjx4wvM46rl6iksjgs5WP+25XWWr8t7va4Rl8tsBWyOBMy9Z6eTf5\nbIFCPA6QlWKTRiD1+DcKmbwGdz64E8/57R9HhEizYtzcolhf6QjI2S2wPRPRc0NBacFlt16F5/z2\nj+c2VanuhGi49xsleDPm9jvEOebxLuYxVOGh7q4ilME6rL/WTs3999s89bgT699caJnbqWMO5+5o\nw3q5pScDuLb8/fcAvENEfgPALwB44REay78CcA39+5UAfltEvgbAbgD/NL6QUno6gJcAuATA9wD4\n3UL8JgD+PwDfC+DpAP5hefYRA0aai8zY9bcgW87OMwrXAmndAtW9ogbVAlVTphkABbBsQiTs9Xxc\nc2pX3qS5Txu7uH/XIoZpMEYsakYcAunUuYIy0/01HG0R+w+sAw7M2vTWrg8SFnV8x6/sqPeji2Bd\nf52rxlyRm8H+1YMmOC5I4AD0EdaRAO+/vpn3dY5HFikpIzZCmmyAo1jil0VjjsLAZgTuNuDZiEmN\nb0yt8Ax4gWxRTbd9qwdw/X23Lexf66j13J54PyxKJqLjPv/0c+jaWISroe/K27FaC7wrFd/jfjSm\nBgBOO/7khfN6hGCLTh1j4PgetSRlJrzFFT1lQaYbYznkFu8LZCbIxQ7BM2879+4GYHROINXtXd3h\njRk1tz3uowdGi22Ob/vc+/Fv3ve74Tm7rxZuTcvOMVcq7NTSKIGp7SlZlY1XTxQnogRmeDpMMJeS\n0KJkX/VMNNN6FRy4zlFQsHZc/Cpz7YRSb9GO7/RcIHnt9Ft5MPxb30nAx274HP7xH/07EpI6lhfG\nV4q74YVTX2C6CLBD9Mppx9xzywOAy267Cj1oSnxQQWyRnsLB+ozeRVmJwOfAj2mRsLC7ZB8WcCp2\n5vWCMi/MOxZcXm9Ci2VnS8/IZMglewSlfAJ7SlGCkrUUHL2EGweKx0d05zVB8djAeoWrAwBOKn+/\nEMAHy98P0vVNQ0rpXADfD+D15d8JwAsA/Gl55H8A+LudV38IwNtF5KCI3ATgeuSA5ucCuF5EbhSR\nQwDeXp49puA1LraRe0jVm32z8PHwqi9gywV663tkilUNRba6DLUivFmuPPEBgD/63Puh241dMlhb\nMh/HWpB2NvqDyIKiIyBhTgwiqBY0N5fy/EI3sAWamsOFruWKvxMxCi0DH7QtbLkqz+YK81R3Y8H4\nl7kfbgZiYUZgc9Ydto5u9t1F94aSqSlaQdiSMyxAUxGZb8aS0gbbGzJXhsIxZQuSu/TWWmGZxe/E\n7cfXNiLzyKBzjK6Z2t+TTyPhitaTGcAoPPEceowQa3CZudD5aKmCRxFs0anDgPXiBt4/LFwp4zdJ\nQ58ZCu8BxuwOJZYi7jVjJMeG5qi2e1oSI1SBShV9NblSPsefuvmL+MwtV9a267AWq7vqs3/+pQ/h\n3Vd/rHv/tgfuAWBugam6Bc7LWSlM5DBUvMJjYEsGM+D6DiteHMNZNf/TXEpBcrZEJyCJF0qzmJm8\npca5Ordui9pvCmuV5QzfRlzXinPKtQ995TJ85pYrIZDCA5jy57nnXeJwz0gvf+SGy/H5O651e6NR\n8AYLEyg+x7v1eWEzlf/FrHl93JjX8JQdJ+IFF30jrrnn5trnslgg53aNsSN82ZiGNDgrI/NrWQkW\n8bTfv43btkitZ8rKYH0rWup6ArFItLa1Z2Yty1Wdm1hW6lEEKxPPk/o4S78+ESaOtvr90Crv1xb+\njiSsV7j6OIBXpZT+LYDnAHhfuX4xgMVq2fXDawD8a6BysWcAeEBElNu8HTnrU4Qnhv71uUXXG0gp\n/XRK6fKU0uU7d+7c/AzWgIrU0K+Mzlp4FYjuf/hBuy9Zwl8UpMcxVzMZS/aioWYv0meY+ADAVffc\nSAjd+73yJj9+23Y84+wLG0QWix9PnAAYNBGEoCbDpDkwdha8C2Kcq6D1WT4c4LZYMOxpsPTJlhh6\nRMcxV0oEcxzdYkRxcEnijM1AT5u4qXaOklBrrgbSCCC8/kqIYlFdY7z0ucOvc8UMj4j57Xv3V9+v\n8JneoF7sjBNOqf1G4sL7bl7cjbj9H3nmC+oz0UKlDIMTFtndIsyhJzQusnDp3uc6fnG8jxBs0al1\nwCIdhGa7+5u7bgAAfPHO67rf1CsFR6IBmamPZTZ6uLoq5Sjmit0CzepEQpi+W64dnB2CWqu070kp\nRqxKgKyhN7z9ts+9H8Dyc2pMp9GxXiFzXZs//9KHsqW40F51C5yFOleasY3Xjtvhv5WxjJ4OKnDW\ntO6QGnPlLF2kVFGrg1orzDLCfbWCRGRCmyLCNDKNvY6Cd7SO/D/vfBV+8V2vKYLgNOBTL1z2LO2u\n74r7Wn4K8M6vth7e1U1ggn3jlq2MvVvP/P626QomacB3XMgl9qjvxu3PWxAb4YqEiKFkw2BhRehv\nFvp5vApKSwfyWNJzUb8ZC9cLeJgo1PfcMxl6NNLNEYJhUIV/Tjcfzy9Abr9BEO6No1+uqK/ofLRa\nrn4ewCEAPwrgn4vIneX69wL4y8MZQErpxQDuFZEr1nz4KICI/IGIPEdEnnPmmWcezX4s80+5Nh9H\nXHnX9bh3767O4U946ODD9f1McEoNKzqX3uKFnJ1ozMRqErQEgFmunAaKhCB3oHWchfidvONE0gqY\nyRoA7n/4gUoM4uF3RR/LXbZwKVy3Myf9Us1LY6Vbgpw2Crc9cHfXXSvGkLXj6AeqSphrzthozwgy\nwl1mubq3U+D4cMBqxBwmOukImUcCRFCZD/3m7Can+0O/9U333xHe99/HxygKPnL95WuOga268VfE\nUrE7P3Dto/wuEsTtuSWMnM6BNJJNdk1kBmI6THHfww/U57Kyxc7/zbvuxI26Rgk10F/bMlZxAcNs\ndDeshc2W99K0w3A+wrBFp9YByxRTf/2VS/Fjb/0VAMBPvu1Xccvuu3qjqX+NIrXshApA67Egz8UL\nTepWlxkuFQC8l0dUDqgr8VCtNRwXRFacjjKupyShC+46W2t7q5DbV2Xm3Kzd49x5imSFYou3eHys\nZAVYIKPexJJLiKAUEc7uhuaGyLi/FOzlNQrPuHUOSlEdzxAEvSzflPcWKJ+EG6C1V8uVTxDkY75n\nJIBLaOH0AuUAACAASURBVMhb+n2oAvdn9HaBICnZy2coimht238LVojnq9OS8r8KMJHpR6ssXCQg\n8LpJ5xtyKnYn6C2g77pXpxSDpPxWT4g2GqT/Httn4C1X3OPqfFZqmq0hXEn2QhmLAkIFZE3Jr3zA\nSMLyWjzHonJFPC8FNiIcC1iail1BRG4H8AOd6y89AmP4VgA/mFL6PgA7AJwM4L8AODWlNC1awXMB\n3NF59w4AT6J/83OLrj8ioFolp82B4Mff+m/w/AuejZe98Kfyc5Wh7Lw/DM3B9HULMgKfjbOM4Avj\nmqLliojWD3/dC+jAGRLP6VzNFSqhxHAErYAiwNUxZyviRBW+Xa+pU0GT4Yrbrylz9773NldGTocH\nP/HWX8Xu/XvwxV98uxPU+pYrHkdLGPnfNf5gPq8YSBGrpYbtw8OHDiy4szmI6w8AP/WNzTFeE9ia\neWShaLBoj775ivfiZ573I26PKgJd5J9fhTDaFftWD+BfveO31p0mvOeqqwIxkJo9DPizt0hbpvfX\nAtdG18XGLNA37bqzXPPazR97y69g76H9eMc/eRWGNJDdSueoQlt7bXSOIkEpAnLvoTFNQrbAIyt6\nbxy26NThQzxjBzqZLuN3/otrPgkA1SNiCHEuvfdcbGvBA1kZwO7lUXuP+g6Q419FUNwCc8Fhyxbo\nEwO0lgJ/znvQcwvrtXHJ2Rfijgd31myENd5R5tXCpLHPqgTleahlicei3g42B7oOtVBlHLQymWJ2\nYAbzHGkzLk6HSRVezJpm42ChJq5zFlDGpjg0W0IWxXNGQQWg+GxKuKNzZzzj3MMq429tR7fA6JJY\nraFhnCxUjKKCcULE4VHhxnOaFCW2DmgUcUxbj3/j/bQsjrhamWh+TIPN+qRjCha70jbHklkB6/Z7\ntDFXdp3Xm4H7/Ok/+XU8fHA/fu17/0UZ7zLLlfKkpkDXhBZxT/D+WaQgjknfJh0hmUew0GX5KMC6\nVY8ppR0ppR9NKb0spXRquXZhSun0wxmAiPySiJwrIucjB/1+SER+DMCHkTWQAPBTAN7Zef1dAF6S\nUtqeUroAwEUALgVwGYCLSianbaXdd3XeP2YggEP8gBEYZl7mlUD5TyNSAv+CYOE1e1mbPavaM60S\n72Ou2C3wrJNO7woUc8kHepLMWqYuhdyvIraV4sbBGYX0dxaQnwma69/lmlJU13Ity9V8HJfGMHm3\nFXqPiETPWhHnrUJTtDrMZF6TX1SEbgE+3TFp6vcjBT23gVNKau6NgBGjIytcibR1rkZCjFFoikQk\nEsHenlhLsKmB9bWaOxFosRTOPeaBGaFlWrFlY2DiEYVYTwDNNYnPASs5lJgqjhD4YtY9ZqEyeiFN\nc26ndRX0lqt+PZRHErbo1OHBSvimvRp/cT/fVSzuyvgpAxXpgL6358DeIDRJVWJkgQGNWyBbNbj4\nrioUlTkbSkIlvd4Xi5Zb8yMjD2J0e+vw5NPOqYqz+Ug1r8bR1kJaBrfnFkjSBQSosTLu/Amq5l8A\nKyIsnADDC0ssrNbseLD+vZAUaFy5G9U1bEWJsdj5/bH59rk972Xj193mGeO53behb7IoDXzSOD7p\nC2W6rkPJCLvIzY770jE2taiigNNR/7Lg2EvVznRMhOmBt3rF/TMb53hg/0P4+t96ietblV8iaMbL\n7USFihNu3PfzgozC1XffhGt33tKlGxGUllY31dLP1XffWM/IPCherP+4noL9q4fo3yOmExbOWn4h\nuiwfTViX5Sql9DXIwcEnAjgVwJ8AeADAvyj//mdHYWwvA/D2lNKvA/g8gDeUsfwggOeIyK+KyFUp\npf8J4GoAMwA/J5K5pJTSzyO7gkwAvFFE+mldjiJ4n1+rnh6lca2uDljwYuQTd+7d3VQS5zYUKeb0\npvOK4NnlSiBYIUJU+2ZNBREwEaEkGpZeFjAmWC1ZpnloLVc9t8CavYbgkrMvdM9xHEk2O699eBV+\n7QN/gI/d+Hl8+Gdft+azLuaqQyR8ellDeHkuZc4wJgDIlqv7Hn4gPztmK5ZqyCK5X49lYzPA5v16\nbVPttIz1emGZEKxCMhNVrn9j2QL7bqJRC8dKBCagk6Vj8O6tfJ4y4Q0xVyFeqTI/S9ZoPeu2FtMl\ndI5ZkOPxb5us1PVISHjdp/+srkvPDYT/HiXarRY9N+JPvvjB0u6jyy1wi06tD5adyXjv4GrPcuX3\n83HT7QBQaZsq2CozWRniDHsO7HPZNfUdjUfNCsEBmjwACMmWxNOggaw1Fr9B9Bat5crRkHA+q6Cw\nhlu1Ux4mVEXkoIrN0eYxigl7VYAgWtMkXijXs8LEn12dj/5txYlNKI14rK4L1EsgKHOI8e95KuQx\neq2/8Hi7tIYTEhgob6FCIffBwpMTohvriu3CKFwV+bNQ9cWWqyo0JzgFWi/2Kgqr0+Q9gHz4hT9H\nDf6l0dlaScXbNfaQcDsr93T0vNYPlMyADJbsgbymwj6Ka5qfLm+xBRRRILR3JlWp1yog69MkOM5D\naZ8LzzgXd+25DyO85YqF96ho1GsPH9rvRqQGiPhOHWuJ9ToWsF7q+BoAHwBwFoD9dP1dAP72kRqM\niHxERF5c/r5RRJ4rIl8jIn9fRA6W6+8SkV+ld14hIheKyFNF5C/o+vtE5OJy7xVHaoybBUWUPSZK\n7wOadrM9fKs1ONZnmnFugSKYpglWS/C7Inh1uarCT0hry767Oo7/deWHM1JOk5pedjJMzC2ww5Sq\nFige1koM60mRxsWAn7exzbFjug0n7zgBh+ardGg88rrjwXvxgt/9GdfW1ffciF37HnTXnvr489GF\njlugFrfkcQHAngM5Do4teCxQWszVDNun28r8zQITq9zzuhxpGYsR/8Vnnoe/de7XNghnPbAejdRm\nQAUGPhMzsgjGmKvm/fLbuixY9j7ORtUDU3B4a5GIaetSMq3mTIgZAMcvLBNAF685CzLRUhrPR40P\nc+cV9Z1tJaOnSD9FbX+MRGzDuWWlAo/zjgfuBfCotFxt0anDhKhRX4/l6vkXPhsAKeSSZ7YM7ed/\nr0wmdD6NQbWkCxaf5FzDiEbytWmhUapIYdctyQfZzStayyNO3F3ohj4SaS6vwyQNWJ3PyFqltHfA\nbJy57H2avTDjjYQeE2hrVQSn4BbI/bq1kiCUik9FP1UaJQAn2cjz827N9XpQJKm7Gl8zGt9aC/L8\nWtoRBT77Dt4bYe6+vV97vx86yiio5crH1Ooa8FyH5K2OzGfE/lXQslg628ce54L+bsfQJryw69Uq\nSfvd8yImHCr4hCsqVqY6ttZqKrS/PV2Q3l4IY9Zka3OxUj+9jLp1fmWsKuQNmtBCBCuTaXXL1NhA\nnR3TY5uxjeniM8+rfYz1jPXp5xj406MN6xWuvgXAb6m2jeBWAE84skN67IATgvTDwmtB6v0gXPG7\nJ2w7DpOUnFRu7WZQjcakVIavliuYlkC1Z5z2Uq0qOh4dxydv+iJue+AezMZZ1cpMKHVqj9ABPqNQ\nHVvULKHvFhgPRUaaqZqK2UWEieUdD+7E/UGQ2ggcorgCQ9Q+uUccI49VXVH4+myce+IAYyBa62Pr\nBnYkYAyIdEDalAS3XHDYPFTmgWbOwfF1Ty2IsGuEARICOSX+Mui5eerYmEDHeCh91qzJLcGz5xb3\nz4JrQ+TCc1YkEWXMVGNI5qhZNkOq38hgcMu1LZpDT6PJBPdxJ5wKoBNzJYJDs1X8o7f8yuIJH13Y\nolOHAcyMKnRjrhZsaI0nigXnjd7l39U5x5DkWN0hDTVhQtZgey+PXp0r1b1bLJOeEStmrMIMT2sy\ncP2r9nxWZaSeE/FC555SgkAATCfqhq9a+XwOc4250QQfJyh593n1DGnWSjjxE+HyMkZlwKdUL6om\nroA4IYotV9qmt27xN/QCkwp6nCBHF6aOd2FCi3avKD1qyrEEZp4tV1Zypn4SGqdX3mZXwHZNdUxM\nw0fxsVkcC94TwBUP1qK8HaEyj6GXAMXOQ+MWWL5lvu7Tpsc05ZHeAdliY33DjWl1nFnSF+rPeBjP\nf0S3SV0Ln6VPBbe5FccOgrabXzlDCSqoZV5EULJGahxeGpp4TB2xtdUfU95Tg9s3QPZ62nfoANBR\nEBxN2Ihfx0rn2nnINUS2YA0QUY1Zh4kSYi6LiZ6P3sOH9mP3/ofqwfepw5kBsoQW2dQ9VNcEwDQu\nXuNEJmfSIm6f5s+tQkJKqWzcWETYazlYaGqsAkTMJqkVMvjga9+qBWQ0LeIFV44rUbhu563tRyDg\n9/e4rIxsfvcIlcfGwhW7OFamfm4JQSyuICPOeLQjE3KkINY60fSnG26H5rz34L7qFra+MbSEiqG6\nt3T2ShQ62zaikoIFlcUuCr3xzYJwlf8urpwLEloAglxpvhXwGJYVX65rW9gFoB8QLGhjz9w5Js2p\nSD9jG4/x3r278N6rP9EQWO0rzpWvvfiS5wMACXu2f+/duxtX3X3DwvkeA9iiU2vAsmjVeO9A1y0w\nXrA9qPEUQ0p29soLRg9mhptGZXBz71KsPNOk1hhPI7ndLIAUhWFNkmDxXuq6FWlmT7hgiMJhdPl6\n/u/8Mzx8aH9lDGfFcqUCVbaEmIZeGWUunMrZ6QDpKkBMWIyKDrX4s6LSmFNdt4m6rgVhlZNsTMmN\nsq6FeDc57XcItIvx3qyDH73Fpwg+dSVN0WvPe2GGy740irQmPXlrKU2p7GfxjH8UD9XLR8vW9OiJ\nE25FSOHbCj2Z1qOB0d3vn0KNlWfhx2VxdoKwzaQmfRpN8ax3V+cz9815HV07gQ+J36835lmt5ebn\nFyHzH6jnwgTAHKrCMYOOZgfckddl0TqqxTu/r3UYf+m9/xUv+L2fyQqXDcb6Hw6sV7j6AHKVewVJ\nKZ0M4D8AeO8RH9VjBKLmNwb69kzxX7jjWodUFa64/Roqish9eAZ6MgyYzfOGr5lZaDycnhbIzCwf\nVm3/h57xHQCA8047u2YLZIJQY65cvRLBZOCgV0V+5Rmad3QJ4LmoIDoXE64Ywdy7d5dbn9l8uXWC\nOqA/+1ofp63rMMxROyPwxZ17lggr3li0SvEbVuFhfdNYL0Rtl7rgbRR4Hf7qus/i1//q9ZsYQwfh\nFiIF2BpoEpKeJWc+zrHnwMO44b7byzv9PkRsz63lFmgWLu3XE/ihZDHrWTFF0EkZPeK8084O81zc\nPxOvyOxJ2HdNoWVQvyMXZvSW3RizJiJ46xV/gV9+3++4Nay9dYgk4zLWEAO+/lhP0XEMYYtOHS7E\nmKt1WK5Y8BYglwFAAidE4CfZqs+JKDSTqgoirfZ+rK53gJ3FCQlLFu9FbvhhWtN6vc8MNmmyIc26\naIKllck0W65ARYQpmdS0CjWF/pc+mYnv0RcpAkGNJ6srmJUw5joWLHfVWmXB/VIFLV0LczurWe+Y\noYYJrHUNdD3hx1q/Pbl58jtRQcaCaywizK5wzipEQoyOk59tYq5gLpJ1rnXMPYHIvBOY+WaZw1tz\nbM0jjddnnEVF15YU0T3RSt1PLaGFrqkpapkvcd+i/K7OZySoj3TNez2wYFznFs4DW46i4tcE27lL\nRw8sjrkyy9WIAVQyYTKxBGrE47oz6uba5ykUb+geVKv7Dffdjv2rB6sgfcQZrQWwXuHqFwB8W0rp\nWuQ0tH8M4GYAZwN4+dEZ2lc/jAgHktwCAO9ixBul55MLUBIIujcKpT8XYFoKCiZkdyoWYL5w53XV\nBNs7uKyhOW5lB3ZMt1uhv4RiFfOIbD7OTfuFvuWqpx3vC4rll5A7p+jVdXvNx97mGM3VTTB0qtXQ\nHnP/FKvDDDPaw/iEk8+s70ySFUR2rgxNumFzP2AYO8hyvXDr7rsXZkVkxrsyGxvuwWuyDs02Vuh4\nWe0Lc90xDRm7kEaN5PHbduA3P/yH+OE3/WJuOwgBPM6aBXAN4SrWzonMQw127rm90H5nRu2EbceF\nPtpVv+G+28t1OyutJj0IeqGuFBOfefSECwHVPLcRmSnksTnNayBejokSwXEr2927VdFxbGjWMtii\nU+uCBVrzRqwA9s8ONs8x3m6sutIqJCITp1pqfScLL3lU1epSlW90JgSOebLU4kR/SHDy7n90HmLM\nUWQcSQjM/bQrpu9rUoaUMr1VLw+N3WErmVrjpJlH27ee7Mgz6PucFdBiq7ygyXE2munXPC3KGqWY\nAEMtM1H5qe7vHic5i1fYG3G9AMpgB1S+QeHKu653OJDHZDQStg6V5s5drBR/M47j4/npM5Uupzaz\nsvsWtemMs3md6/wa/G37OSE5xW0vJjaP2RfTBvI+9EKc7YVzT3m863N1nJGSzdZHPYWiMj63Ez2L\n+LcvyJgydI5pVU7na5ffdrV79l/++W9UoU/xQlLLq0h1D63K/+ANFcdU90AQxnk/A8As8EV6bh5V\nlivJxRifBeCVAF4H4HLkSvV/S0QOr1z8YxkC47Io+F0leHvNEwMFRUbRLbC6+sE2p9baYI306mzV\nFRME2myBnqEaqRBxcshQCZIGNLo5Bg1Ik4pdBNH1Qvu3+1qQsSUwgDGMV9x2zfotVwuAU193LVed\nmCsN5jctq2e+RxmDdhZQDVk82nVemzjzP/CGl+K7X/dz3XuOoMDqz2wUlpn714L5uPhdFU7yLU88\nHfMjghO3HVcIlNd0AqBMje1eWm/MVd8t0HzguWo834/WwKi15HEqzMY5fvhNv4iP3/h5R+AaQY+Z\nLmld/dgtJWbdGrrEW/eZaUWZeEYLamQSgLzW2t6HS5HmRdrNYw1bdOrwIe7dXrbAKPTbfunXDbIz\nbQoPZwkW8VYGoViliMPIbYitCLNx7gL3TemYBbQmoQX6+F3bBcyKvqi8ggoI2Vqb60rOi5uUJkhQ\nAU/phDKsQ/HMUOHUvEu4fZ8VsK43jM5Wax2tj9KumqIenPVXKF6oEyYwWpp0poVmFezvhTkpJYE+\nzgEs3IAFU98aC1QkCAT6ocIkkHFfjJUSCJBKKnZql4UTs3amKgRXF0FWNtH6j7S2UVhxniJBKGEe\nYRF/p/0rj+AUEDwWOm913cqfznJFPFqti1aev3vPffUdy3zs2+U1jgKhPjsXtlzla//9Ul9N4mM3\nfq4mF7MsmuZNMR2mNbGaS0ixgKLE2q71WRHHo86C5bzWajtGdGrdMVcisl9E3igiPy8iPysirxeR\n/Wu/+b8vRPNmzAIzdjZJhr5/ayzAlt+1wol66GclqDZVbYUdsmlACpyJJiIFEd/nhGKu2CzM2gKH\n5ALiZWHS6gdFoVIR71D9eVXbwcyeasv3rx5w9aQUTgzWAx5PhLNPOqP0ywxAP3C0RWwsIHi3wtOP\nPwUASkpsqT7gLaForSYbgV37HsQ3vPrH8Gdf+utuu+pWosHeGwVehwWu4gthmUbTFA627/RbsHCq\n+1og2FHSPufr8VeadxcVNIxz44xTZulBIXbeCljfhWnC4p7v9RH/fc/eXQ1jquNv2+q3y/uV3f88\nk9wGy0fXF+dfH5Qj3H+Lq4JWsfOdjyVs0amNgZaLAKxUBENPOdF+f8KZEGe5yff97yzQHBbIMg62\n7HbRNSzWwQGMFnzxzuvceVRaJOK9+lIanCWh9aDI1z9zy5Vlvm1SGKWr02GC1bm6Ag7FRbDEhhWv\nDj0XruZVUYKqciYyxCq01syGhCdY6AIJURAtC5ITaHDfWaAsSa8oRsvCBFDnN4pgOpk2NaiiIql0\n775FTY9POJR/j1vZUdvrhwYgvNFX8gDebY6TemhDqhhjgSTiKFWgJRgOjUrwyLOpQD8fR9pDI5jW\nxXXxygZPR1kIqgpYGeF5ERZeGRfX1QCgCgG/V9VVVWjNfuPDf+iEDr/4rSCq3z9+h9l83rj292iA\n4hE9d0MacN/DD0CQvSjULdDFXDFdLb+KI7g/W3Ov6L74zCfTbEB7/9jQqHXVuQKAlNK5AL4dwOMR\nhDIRefURHtdjAlgTkA+kz1LkDy9w3qln497CcHGGtG89/+tx3X23Oq1Ufr+4G1S3CDO7DynVjcTW\nlhr8W9qejaN3X9S2kQ+3IvcELVDsmdbZaNqGUUaspGlDVE0gM418SuZ3PkE4nCC3QJj/eo/VTGmo\ncQHzccQwGcr1XkB//zs98ZSzcN3OW3Hv3l1GuMHI0hMZvmbuF956Morg9ONPBgB88qYv4HlPfmb1\ny4/MyeFYhhRm4xxfuvMr+JFnvrAzVqkE/HDwCls81wtRkRBBM4Rpu+ec/LjyvA++ffDAXnzq5i+5\nGBDNGmmCDepvz42P4Xn/5R/jL3/md+rac1xgJrUCtdgOaBOWaE+TIRBiaf3pW+Yt/3vHdFtX4JmH\nvZR78gyCzi2OX5/12QL9OARStYve6uf3IT/f02ba/JYLsMcStujU2sB744W/98/x9p/4z/XfjeKv\nK9RTWzBLvAnovvB23FezeazbI1Xg8TWhvGJwrAKKdxvS2Tx8aH8WKGAChe5bn9AiVeGH56oQrdns\nLcL4X5CFEBaoRhltLrDEFaOUJB2lBaXlqkmP7VcL1+CZQRUUKt5ETg4lMkLS4IRLTqaRXa+IDpQ5\nTIepU5go8x7rUHKftBPCe2S5KiajqHRSyxXgXSO5Tf62df2ja3PhqVSoiiVgBFFZQHxNoOHZXc3q\necYMjVEYM6VgsPiJ/3Z6HYiu5a13g7ptqnupiNEidgt0tadEIHQWALVcwV3zijdPv/g5/lVh3NO1\n1Lw7l3lIA9/HGToGFTJvfeDu2m7NGinw2QJh68jngs9/NFBwuMk0jGss++SwmKANwHqLCP8YgDci\nF0DcCbjVEwBbRKsDzr+1CireLJ2fKwGYpK2LqZTHcaSaGZ4hY7dA1SKwa4Y+f+L246sgxlofSLtx\nDYkk3LL7Lty06058x4Xf0LVcTatGDg2SAziTEB8UC9ys61XXDeY2kRLF5TCyV8ToXcA0luShg/vW\n/Z30/Zt33ek1peG+jd0TjV6dKxbOcgFkS3W8yJJx/74HsTqf1TlsFCITHyudq+V04+3qntg4Ez0G\n5MhghF6adXWuEOXeR2+4oloD83XvbsHjnI22J3qwb/UA7nv4Qeiu0/pVWfBXxgDVtWRRqmEtd8BE\nvzXv9YXp8047m85K1jcD1peEd7TZ2hcRHw2qr+tK70YXnah9BnyMYcNgM5NETEecjzR3ji1s0anN\nwe79e+rf1d17icWXNfmtJ4ZquBPFMZa2q9AyM0auZlKFuXDJ6OKCuG1XyL4KZnl/ayInpYUquETc\no0ou76ZlcMYJp+LBA3sdrYsM66yUMFkZptUyYLWS1HI1VhfEUUanXFX3/Oq94WWAsg7k7UJzUKGN\nGcrsgliYyxq/MqnJKjgujbMWT4YBh0pyDp2rSJvQggUKvib0He07qTVxDocXeQ+JYGWy0uyznrJJ\nx5nfo+fELIBMB/Q+C1a13eKGyn1oApK5CjdJa6XZN2cFnsDS37O3AYdKOMGwqOgsEy5ndpW6Xt5T\np3zDSemH2wZq23U96Gy1dbX8nkR9338bXvtFhgD7fvl3Np/jpl13uv6eftZTEEFdYDkWU9/Rb2hn\nhHlQP1Y/hrD+Yvs/z8evTeUXjhGVWq9b4K8BeBWAk0XkfBG5gP5rV3ILAHgBWQQkPAXmpTxjVbQ9\nqItFFqLIojKa0DYWIqexQGre1ix+2l9MvRr93x1CKUj83Vd9DACc6Z2FM3btctl2yvhZY5OvG0Lj\nQ8PaUtVmDCnh1t13Y8+Bhz2nVP5x/MoOGv/mYq96mpCMWDrENxx21T423zQQB8AH2Pb6B4C9GxAK\nF83D/k39S6mN0kFSa8EyBLf2u33XGwCV0Ectpf4aklQClPDc8y6htkNq1UporJ179+5u+q1ZxgZy\n5yTCxyPMZCq5/W53izZX0IzfzzPDlXddj517d9f5tJm1jIDyvHWup+44yd3nsz0fx8qg6fl6xff9\nHC563HlNfKPfA3Ytxk04BprGuUg54JjuTeyVIwBbdGoToMyYKvGA5bGKbOkQESeQmYsfGvyp73BC\ni1p4OATyx2yBrLzrxUdq+/yettlTVuZ2WENu8MSSrIhdhXsM6yhjrXMFZK17ZJBRMyeWeA8ScHIi\nBu+qzeua8UvrrQLxxcs5booTLZgilVOx+4Qe08JTsIVQgJrlUMekyjk/VjimH0DrFmgcbl57stBp\nzSHGmUxXWSDS77d/9UC9PyInMFAeJLrxqbtfxs/Wvltt3nslnjTGuQF+j4sAk6CkdgIY9ZETnKji\nwPg9Fvt0vTQRGWfNXKEaULVth5c9j3FovmpWqnreOMmKt0bmd9tzyuEdOtJYt1XbtmsZXvz05yNC\nFVyRGtd6dgt0iV6on0gLdfyMRwDNMt1T5vcVBEcT1itcnQXg9dIWZ9yCJcCMomMkozanIjrTRjm3\ntmKdqZl9gnZn22SlBt9W4UrN23QA5+NomVmcJkQ34UhuQuaGoeDS4BatWw4mnZg7wTBUJBIZ0luK\nhgOigkZ0PTDEMQypZGHK6/AHn/nzRjOlc+oxtqcdlxnRQ7NV3PHgve6dhcyhjDUBg3O56vTL7lRq\nQucxjCIeiShxSUyeUJ9ViCb2jcDde+4L89L1VxfPNpnGemAMFpUNvUtrG0GKwMdaCGbijcnP137k\nmS+0zHRAFeajJXiUsboP/rv3/17T7zX33ASguCDA71FPTijzWUcgMmTt59bYrcoE3va59+Mzt1zZ\n3a9MnKN12BpOOPukM5w20Qn1FZ1kRuj040/GGSecUtPwMt6IY8t4qd3DXJfGnstw8Znnuecd072p\nnXbYsEWn1gFxf3IsRask6rfh+S57R63RHDvx4IG9Drevjt4tUK0H6kqnlpNoGVErjXPRLeM466TT\nsWO6veKDTEOHRlsPgKwTrTWa/11/IdUaPRJOzULIJLtiIbuWqUJwqH8P1Uo1TVoTj1zig9tfFBCM\nZ7CldnivPKNCUc2WWGi30n9zlxIXLmDFZQ1PV8tVwBMDKaP0ml5gvqCssj5V58MghQfQGDrlWxj3\nJFewowAAIABJREFUscCnHjkaX+0sbI3FowgwCbaniPY3+JOtjsncAplPM1yc1zDG2rLCWoU2nc9Q\n3DV9rKAJn5rEYiQhSBMcaap/v+9a/K9tc+ZgT0/KHHu8TFDyu31HaxXbBXzpjdgew54DezMtKbT0\nOec+rQp702L9jeebhX7ePmNnzc1iSiUgwjgqr/YoE67eB+CbjuZAHosQD2etSh0JGCwbz1gQlqtT\nUy1XnQONnBr50OxQRTYAFaMTy5zESIjdG9wBKvtuHjRQgE/FnoXBfPCnrC1MHgEPKVWXq6vuubHO\ndyiErxGuIDXOhV2dDpb58bNAdudiDY3CKUW4et2n/wzf99/+b5sfPKIA4DQdnNa1J4xF16lK6CTe\nH/3cCoHuWa6Y8MzHsVtbRtegB89/yrMBAJfffo27boT68BJaIMxtI9Bb8/k45n2HNskLFxdlzfez\nnnBxYZ44qDZkYaLhvlFjipaMmWPQXHxFZaTEGLGeWyBYUz427/NzOrdGsUHzjsKVnvVDs9WiiTVc\noOuiazQb59WPXYUiZRKqOyHtWQVWIFj6emUqfWpiHZv+PR2mzRqzVvERgC06tQ5o4lGdcFX2U83A\n2n5ICfud95AqBhPMJQrILs/sYRAVj7G+j1lmvBDGCS1YEXneqedgdb7qhItsMWgtVwMsm5+2AwB3\nFeWU0ROjdcrcO7rJzGAixs7NP49hNp9RvJh3C+xZxnhuzkIBE2D1mWplUB4B5IZIiUBsXaz2E6eH\n52/I7lU67yYOizBJxfPlnehGWfFBsK7HpBa1ziFY4BPEOk1KnzU78iQNeOjAw7Xt/CBZoWiP+jGJ\nj5ejvytfL1mgqnOWknBl9ImTbLzKFxijz146lReEnZFJsaRWvq3MMXsLEY/meAW7zgktqlhb5zyv\nZ0GvveTZL3J7zcUuCxXmJoHJKeICD8sfpydcvfmK96HGYpY4/bNOOh0AKg3V78hKVRJXrZsFwmVC\ncpavqlShPfOoyBaYUvph/Q/AXwF4ZUrp11NK/wffK/e3oAO8WYFiSkYnFXs5jOafnQ/mhWecC8AO\nu2rJvZ/piB0r23FwvloRLWDClWaamU6y+bymZ6VNyX87JhHJJdZgV4F68EdG4qjMss47+m7ruymh\n0doJ3bO0trn/u/fcX8e5bbJiDKpzMTGFtY6a61kt0lQy4poXbdEY1ig+yxkQmcF3NRpcJzom71qh\n49kx3Vbfe+5rfhK37L6reea5r/nJIOjlvi44/QnoQbTu9eK91gOmwd245arnFvjSd/wW/v6b/jVY\ni9oQaSHLFTExMahW3fL4XZERTy1WlbZyD1sdcxsA7R3xMUpadyQGbOv7Rrz9GPwaMDHwhX97hKLG\nKI4j3nfNJ/GNr/mJyoz4NTVS62udmfVAC4DzOJySoigzauxLILIWSJ7h9z71J47gahv6fLR8HG3Y\nolOHD0PFTKbsYgtBBFaGOE8M2kNqxWFLPAtuzBTZO8T0N7SyuJ0PAylCpI5bY1OmJESwxcApK5P3\nwtB2vucPfh7X7bylVX6Wtng95iS0zJVWJit8n/Q60eHJMKkHSc+mKlRj4gUpnKUJRXZb4BMBceKK\nmgkQwJSsD7UEC7hNLTRsShpduyb7HrKAw7shy3O2VowntbD4Iku2FOGHLTpqpdH7LLQ3Gelglivd\nG3sPWVJQhy+pX7Xe6ZhVOWpKqwSzSpF7WhW0dP0tFEPb8hYVjRtXwd4L8y4mtu4XjUsyerAymfrQ\nDoqnm48jHl8EFG+5MuWg3tPEYPrc4044tfZfs1YSLZpqQhn61v4son6bix53nlvnnrLtmedcVC2J\nc/H5BYY0VDfZoRa11m8cXBZJsMtPGF3Wc1fjp5u955PcHG1YFjn/p51rv9y5JgAmnev/20MUgjgF\nKgC/iSDVsqHa5pc8+0V4xQffULVsVqPKH+gdK9twcPUQRNgtEE4Yy77JI6WnNabSacLL2GfFRxYp\n4YmnPB7373vQCUpVYJO5BT9WZtcOKQcgKyhibRJaiBFa1fqocJUFnpyK+yXP/u4FwiELV8n9uvUO\nh0uJ6Lv/5qM4accJtShj/X7wRAYAXvHBN+AfPOu7KuPfWF6I6TjnpMdVJpaFAV6Pk3eciBNGCwD+\n489/AP/6BT9Vn2Hkua1kXFoLSVidFsGde3biax73pE3pbCrSPEJugVfe9RXs3v8Qnnf+MxvNov7t\nrVkSCJWOSxyTZNpF4OlnLw6x2TYptVYoG5m3XNHDqdRKoTP7sve8FmeecBpO3H6c1cwhpigKdDyP\neH4r0QZr4Wwstz94T3kXlfCaZck0+/tKLIKueUrJGL/g0iQQ/J2LnosPfuXSzMBR4L/iGG6H350O\nUyK4rZB1rIQqgi06dZjArrb6/R4ujGoPxzBuA1qrR6Izw4H7rMRqhKZk8TFKN5rkTwJnPWFaqsx8\njGvObtg+9bW6C7L7kcIB8pBgIW4I58DckIY6zyElHJrPK57P+LLEd8m8CDscc6WWYWO2DR+gCpNq\n7eI5J0qUoYKQ4kMWnFz2RTGXv5Guc/bgKjR23OxizBWzrVzvkoF5gQgJVk9LJIc3RLc//T7VEsZW\nyyI0zsY5HnfCqS4RVMaXrZU2ZttTZS5bOIfquULvhPU3r6A8nnf8zUes3fL/NQOg7gfCq1FY1/2i\ngph+w5XJNCi91WKXv89xRSmr7ayOswZnqwcQK85cdkN4xWvedz6hhaBdA+33KWc8EV+579but9Z3\nHn/i6e5cWK254h46TLA6zjANMVNRYHNWXPE0s9I8dVEte+W2B5SGWo23YwELLVciMqzzvy2CtQBM\nci4apiDYsGYMwilizSc3Qw625LoV+f38944pW65CQguYhmc+5mraHpkaQ5+RnBGPIQ24/LarcWB2\nEN96/tc7t8CsTZpUUy4jfZ6/9htXhn2bFYwgWs0QXYeTth9fmT/WnHCaUnYLRECqs3HeWB+edtYF\nud/y3idu+iLm41i1RV1Nf0cw4mBaTvghAlx4xrn4u1/3tysBzvE7fUvekIYqEH3q5i+GZ7xGmcel\nfcfaXm+67N1uTA8dfHhTiGVZUoq1oO+KaZq1zNjbWWHGyyxXVj/NM2umHdRruV37dqccd2IzpuNW\ncq0sDcDXv7UvtvSwFlrH9P4vfwrvuuqj4dtb39HrygjE6PbVjM5eFii9S5aeQZT1qck1tK8FigVn\nCRBi3GB1Pji1sbljqYuRMZ0xMP0HLvn2+o8m8YW0AtfRhi06tXFIaIVtBXZ7i/cY+FzzfqlMrWqo\ngzIEgHP5dTFXarkSn1mvvlOEDYdjkVH9eaeeBcAKBANqkehYrlBc9YLlCgCu33mb0UNSJGrsMa/P\nKCMuu+0qfPj6y6sys8bNJJv/kIacyZCz6g7qshu9N7ySSQv3Rsa9Wp+AIDh5F/0ac0XWLS4iXC0U\nwngoW718wh2f7lzHysy6FoPtQqAdVSAtHiqjCPatHqjxsLwmnGiLLVsZn5lHTqzLxTiujpMsTHqd\ns9jlvTF4IYzW39o2LyMA+Ju7bwhrKDVpSgoxflmR7sdZny0CCErbK8MUM3YLFEuo4TMH5r8OkVsg\ne9OoADnns0p7LWZ5VnfRuuMcbrfrpiDgb9vydJr5GYX/4WyXqViYV+cz7ybKwp3jwfj72Vz13N29\n537XN4/l0ZjQYgs2Aax5YQTntHHI21TN6lWDQu5jaiY28z/5+UqxXM0OAWLZAkEIQ7VbtZI5LDPY\nrKPJAeCSSVy381YLzCXNkZrxp0QIJyn67g5e6AFplVRDFIRF1UDMiuXquy/+Zrzw4m9yxMMzlXaA\nFfS46xwOrB5ENDErjPS+rtUolP40IO34jY2gtwjo5l134sPXX1aYdlTtbGxD4wAOFA2sd/OyMXAW\nr3HBfCJEwrBR0NeX9bM6n+F/FGGOgTVuCkz0YjYs0P4eiblZKYTb7RWoMADXhxJeAPjBS769M598\n9y1XvI8YKa55QzFXehKDxlpPccxqxsJZXAOBTyDjcQELlT7mSvtDSrhzz048sO+hzjsjvum8Z9gY\nUiIrlLkTKmPFAuQkmeU1YaiB7Hn+SiJagZDXW8do15pl34JHC5TtuafEqNSzmezMrYVb/DnMwDWr\n2JUd8HtjlNH2GLkseyF/0uxvpYHO9VosvhAwKxynRG9irtIAVogxbvrw9Ze7ceaxm+uk0d652+NK\nu2fjzBIUCKXALh4eijmyVdliThvX3XLKLBOvrrvGz3IRYXb5m/jkH2Ox+FWmVWr8jwqxvQRXMRZK\npK1zlYdq33G6xHKl73G2QI014v4/cO1n6nvmjm5/q3JxLEK40mqO1dH31VoDwrMiHucCFkKhgnFd\nH+LThNpFWX+QwMHCCgrTr4rghJ5boCmtqqdOEUCULxqlpGIfx2ZP6vdveEnxCki7Z4ky7DujrkN0\nCxwKr8fCC6+tF2q8y2ZMhAKE8ziOjo9TCyYA7x0Fr5jUsXk6T/xq2U9X3nV9M2Yd32bL0WwGlgpX\nKaXvTSndnFI6uXPvlHLvu47e8L66ITKCsfJ3ReqFQKn1Yha0AbfuvrtI9YWRU0QByxaYmR5fRFg3\nsmqolNjpQQa8W6CPM7JkEgCAhGL1MsZvOpDWSMwtgTVDXbdAkIscPIJQhlZ964c04JyTH1fnMSlJ\nGbwGsRWCehDTyEfLj8YCZD/0RZarnjbEkBm7wYlkN7Av33szVEOVOoeb3bii5tieMaJuY/Hziyjj\nqY8/3837medctCmmd1GsGgD8zV03YHU+w0277sCrP/rWhe/2swW2dVyisK3zMpcTv1c5SUfU+nIb\nfkz52p988YN10Xi99eiptSgRYTQCqYQs929HuTdP65d987VwIs8HYMuVrQvEFAZ/8eVP1r5Ys6/a\ndS2ubHEdRshrtiR1s4HgwOwg7nooB/Nnos3uK4FQE8FtLJodYn8sYItObQ7ee80nAPhvFXFpPD9N\n7AuftSooASgMork/eWbP14A0Rljbm2racsLVqshq3buT89hQ1/pK68rzL3rq8/Rxd6YZp7N71Lmn\nnFXHqPPQ9cilQVi6MkFBY5U1+5y69U8T17kyeuyVX6C/s7LSKVkq3jG8Wc+0aEILi8tRnFOZ2cCH\nLPKGaV38OnWuCO/FjH38DP/W65Lx7KQkbFDgWK2KN8nTRpM6lekWPsHCHUx4K985FSadcDDPgC0e\nc/p7FKkfI/dFSjXqp8v0wxSH1dUwuAUyjVHr5jhaApT8Tcaaip15FuUlHL9G50nHptdUUZ75Pj63\n9E7icAXbRx43sMWYBLHg3SAL3smfxPBCDQNJdn45mx/Pr/K8YiKX5xXMOjdzilI4GnYsY67Wslz9\nPIDfFJE98YaIPAjglQBeejQG9lgA7zrBtQOCtgGmzdAYkpQS/s7F34yXfvs/wvX33QYAnRpVI9Rd\n0LRVWkSYi+9S/QAV4OZzaoOEG1jbLOANaSguGbZxLaGFuepxamwmIgBq4gU9UIp8RjefkuxCx0gI\n2DRqtobetYsZ5Gg9EIxju+783hknnFK0YVN3cFkjZmheIVMJ1XZ532h6SgTVdtUIRRqMaUJvZQRo\n/EB2fdx36AD2HTpA82iFQAA4/7RzyvX8rVRzulGI2iOGH3vrr+DPv/QhsnCEd8uYDpI7I4MFD2sf\n0hWCLRFLfk6zXDKyZAYhavoYegTDxVyxdpWJrXvXGJtogWrWgMobxNIBvW83ozPGmuxGIwmqvyJj\n1a7nc5hq/bvqg6/uGPBMLwD87if/pHwPZjpJMCtjY8tbW0+k3YPHCLbo1AZA97fGHjqtdKBN8fxY\nPIftW96DRseSE+z5HXbN4qyhqVhGjFGPLsJqpZm7a4AJfdW1XsbCXJv1QLOTRQVjpkF5nt/85K9r\n9reIOMUFAPzL//UbTrulTDG7Amq/Lli/vMMxxT0LRFUeDa23iwlIqnjSmOdlyS0s6ZTiBXvGaJX2\n7y0IlAk4Ckk0Ln5nx3R7WS+fKc+/5xNaALl0iu6VWgKEhOwDVbhib6Cx0oe63aLAzuvn+DLU5/R7\n1WyBda6ePikuFhi9/44Lv4EEYBOg1aLi3NcRLZUpl54Rq5Gma74y8W6BesYm+v1rn6QoUMGN+CIT\n2shyVec0um+bhe4pxO2Ldg3sXXY89zSQeTOjpb5IuJ4XAM7tV7hNsqj3jQEjEkpiDPHClYLgUZIt\nsMAzAXxwyf0PAfj6IzecxxYY42Ra9qwN8JuwakOChuP040/GP3nuD9b2cp0r1mLkuky5CFvRViXV\n4OWUs4pY9KAPGDyBalKx6yE2t8CTtp+QmTVy8auWKyHLlYRCc2J+x36+KGP0yQxW55pyenCWKw1a\nrWvIgg+5BTrrQ6NZGhtmUOeq72nbKiyyFYom5b+xwBFTRTY8xjqm4HutoISLGdsnnHJmeMYsV//o\nLb+Mn3jbv6X9Ze24sTkBdCThfmOwVszVofnqwvpc+o5qJAGzwFTLEyFroGe5Kt/EBfYWYZ5TsdPz\ntif6FrP6d/llixQLMUwQtF9uw9L20piDYM/fh4n2XCKhL2OeM9NnBDv6tnPmKM08pu/VcVO8iWmk\nOVuVrYUxuDamRG3yL6+BFceU7nPHALbo1CbgzBNPA2CMS0JyOKMHJpSbyxZ4D5OgNBfbk6qMyO96\n5cdYGMxU7s3HedbY05lgzwWLuykxXglUj9H2vQlRXjPv4qOKJl3P3JknnOoEEx25nj11pczXDSwr\nYE7FjqS4IAt47JJflZ1i2QJ7eEjXW1SKgllhMo4iqxTFpDFzXwWtqgDloH5jNo1uleLIjVugz8wa\nv2OtoVn4iovOfBKtna9lyO1NhwGzcVZxlNI9thwxY18tV+X6dJJrJMX6RbqjquVqkXAFoW83VsWu\nZ+Jp7xZBi8vcAMA5Jz/OPQNYDa9U9kMvLEGVyQNY+W0CoXoHRQViFoa8BUl/I+8TLajajrc+sZss\nCT/UL59fnQLnB4h0m6/NRnNN9NkC85fScJbJQJ5OQaCzvo3vYXylnl+LrO7Vkn5sZKs1haszgaX5\nlwXAGUduOI8t8IfYgsl7jJo75OJ9xP/pN/0QALhAVEA1gGy54iK01pYiV613oJYrjcPqafzVveFH\nnvlCXHL2UwCkqv3SsWt1ek75yibYjBy0Er3PRsMITd/TjGd1jOMMQ9H8GSPp12AmfbdAXT4WSqKQ\ncO3OW+o9HVfuYwpnHesw4wqq7eJ4gaz1WcSctIV82ZK3WorycQYvntt/+fgf4aZdd+LG+293yLA3\nOmfhEAuO3ijoO4ysLrv1Knc/Mv4KkSgAPubKgtjz/Vd/9K1dy9V0mDZ+4lHgYNeB5ZYrT9wAi3PK\nLnWo7cQsS64ivZg1OmoQGZjoOuJO7i5MKLmQpnMlYZcXmLA2rVpb757Bmf/0+ckwqeuufSjoPmbi\nFL9rjHvjX173Y0S/FLbo1CbglB052YtLua1M0wIh2bLmtd/cvAjszDh64J4zxq9aiItwNxvnJfNb\nsIoVYWCk/XnXQ/fh0GzVWa6qixcoCxtMmEzFOqAZ7gRS8a4qGNUKw25MPO+8VP7sKGPHyjYV8GYk\nAKjAoZY9VkpEWtS44qkFT5lhsWLobMkXmHs7ILUMjD1jwirXHlIhdiUkpzCc0VCvuk+05pSuB7+n\naxVxf032kRJ+6BnfiXNLYhKuE5k9arzlSgVFrQ9VLVeu3zwSFk6doFT2ZIK3cCb6TvU5km71+6mA\nB3jhX9sdBh93NyPBRkHxOivCLOZqxLRkSbZi9yPtC8P1vfNqSZgoWyAJI+xBkWPITGixxEbEwxLf\nibo2RHfqnEZ8/o5r8XN/9v86mlaVy9WNM7ejinugWFiJ5rGBwq4piOuzhpNorbQm1r+t1XY0YS3h\n6nZkreAieCaAO47ccB5b4LUdrFXK96M7jR5s1jYD2WKVfzvahMJ43rjrDnzhjmtrYU/NxFOfSROM\nowWRzsZZZVhbLaK5BXLKWPaPrgwvIWVm2h7Y/1A5pGrdok0t5GdMAskoUhFk1VDWfi11rNP+E5Lw\nCS3U9WVbuZctV1EjB5il4OyTzqhEYpHlSvvSRAkC9vM3raQihu+6+Jvw4qc/333fyIArE5sRg1kU\n/TP5HSfUlGvbS2r2CMzEAxQEvUHoCSp3P3S/6ye6YcYx8ruMjHs+0NV1gYhRTM2sf3PGSRbemZFr\n58PfM//qumcFxaT+rQRB3X2sfIIS8ECI4fN8unGJdIOT898+jlCv2feSqjFQpngUyxyl1ip9loP2\ndWyz+YyYNU8QAcowSuvZD47WecV157keU8vVFp3aAOg20W901d031nuVsSEBZt+hA3jb597v2mAF\ngLMKwKy9WeDXGC2vLHEKRiGrqeS2tfSGp3Vwlis9Lw8d3GduRUlrFo1FiLJyBC9++rfl+cPc8pQu\nVWsxLBbJ7nMqds8Y85pqyvUBZsVSKxmgWf1sHqrB98y/V7ju2vcg3n31xxx+MStSfibT3/yElV8Z\na8a3SjdV8CnrrDgjjztn/1UBTMuslMEQDmZBTxxeyDQ897F7/576TB/H5+9QXedSwrbJFIfIMuUV\nafnvg6uHwA/o91PrnfM6QAILW3WP8p6qgj0x6NXzBPVd/zcVcVacXVz3En8XslwN8DVC63jK/clQ\n9g55D0RhLe9PVTKEMARSetv5Vrxvgo25ei5OaCGgRCf1s7WCDoCqxOD+Rhnxwes+g0/c9AXjJ0kJ\nPdKeGCXEXHHSNPD+Ytre3tfkZ9UlGOjsObXUHhtYS7h6L4D/mFI6Lt5IKR0P4NfKM1vQAa+19zUo\nAGL8ijTOlivWGH/uji8DMERi2vZ81CxDoFmuakILUQ2IITENAl0phYUZ8aC2bc9mzQeqe57OzSe0\nkIrQgFztXjV3HJel71pCC3Olcxl7qIhwdQuEuVEosMncCSRl/Z582tm5z3EsGY06RY0heNpZF+AH\nL/mOsp5TsPtlT1vJghcn5zABTgo/bIHHnInI75PMCOQg6L6/cNVs0pi0HWW2JaANi5/T5CSby5QT\n3SgA1KLHuiox25WN268XAPdsJFL8LBdxzFYYj2xFVGD0482avs6eCPPhPjjOyTKOzQuDhrJ3pi4O\nQ5kk9s7vus3RmN0ZY8XA6BUG2patRWZGnnbWBcWSjIpLzC3QGMDq+kRtsPa8WnbDWUjgb0aEE7zu\n/pvWb0vEPn6TowxbdGoDYG5D+SO97tN/lq+TVd2sWYJP3/IlvPJDbyr/8goAp8hwghKqxSj3pdns\nfK1G9b6o1n+MWK3ClVkDVFvuiwgbk1U9NoiJrJpyKS5JJIDpdc2Uya6GmVnPwoW6tFnWQ7byCV7y\n7BfVNXVugUXZpjgfULd+EojEp6Tmb1Kax2duubL8zQIs0RWxtiB5HXbvfwjmrRIsWkKKKuFCy3Pn\nes10ciT6xcea7DlE4z0f0LO+1X2UkhOWVyZTHFKrgwTcWL71wRqTRd+p4DWHe8Fx15FuMKPuFb2p\nJEVgPK38G38fiz004Ub3oUCtPxPae7xfTWhR4SRVYVytvnDfli1kIiXkw9EdG1883zoG3ZN5Tb3i\nggtEi+TsfSP8vtQxRxoQFatOeVd5XR9zxbHWCRQzSTFRIjQ/HgeNk/eIKgqYfgLeiqp7/1jAWsLV\nKwCcAuC6lNLLUko/VP57OYDryr3/dLQH+dUKnqmizD/1Pkvgvoo2b9jLb7saAJqDpswVx7tYEeGc\ns4gtPiowOcsVJwYYveWK/ciHNDiEOy8Cm9a5Uk2LjrumhtWkF2li44Zp+hhZaW0rtZit1r+LECh6\nCNkyYe5+vfiake6NIjhh23G4c8/O5pkTSo0otTxxLbCepePSYkESsNZVLYml7gi8+b66qURCIxan\noITm0zdf6Z6J2eryuGw9+d9xrLqmC4xLa0LPGhELNrLA33+XhKs6DqrjQmSb95i+W62jjqH3QdbO\ngiX+GoMXln2fvKKrtWZIri3FCgIVmGMqeSYIkWEaZexYrjxjCgCz0RgM7i+lhBO2HUfuHpYJ1Kdc\nN6bu5l13OmWOajyZuD/p1LPwfU/7tqz1D7Em8ZtE5Y6/J0QEj6nlaotObQJ6eChaKJlZy8/k39V5\na11VxjxTnjY1tha2bZhFmPVfxCxXRt/MXY0tqzzGarnCABTL1UBurimZRTnVOCifRa/OB6gublor\nSmksL5lA8ISTH5dxYYpugSbUVeGKGEd1bxwKbmnXfXTnLzKU7JbGSldlUvcc2EuJLtqYK+VJWKnJ\nwlEOGTD3Ku3HK6aYuc2KKBWElQ9RHiDiAxXAaix4GrBtskLZABmnUrbAubdsaT0uS3RFgyvfOtMn\nuP2m31r3twk/qcXp8IpyESnJg2zfqKIsUZw78zPqkWR7zL631nkadZ+m5IT8UcbmXbN4etrsBVul\nE208P9OerGTw56paWemZeEbq+BvroCn87927G4CmSrdsgfksqKV7qDGTNfYMQajlWDHpjcnOGme0\nZhBBPTfHAqbLborIvSmlbwHwe8jEyVQBwF8C+DkRuefoDvGrF9wmEB886rOcmcDBzI3Cv/iWH8Xv\nfepPi7uat3yNIo7RVSKTkvnNKtJlf/D5mAndarH8sE82gBpsWxNSlEN/4/23lzGX2lmSg481+xJr\nrDKSzggmE1VmtDlOKfdlljHzxc4I2DTwPhAyC009IUgJ2py+wSgjTj3uJDy4P9cJqgRALMW7Buay\nhdFrE/O1e/fuqu36zIe+AOY4jrjzoZ3YNl0B0nK3QIEJVx+/6fPNM9w//x3d4uL9mQa0YnNugcxM\n6/sucUkQdtmS2mPUbY8AkyFBA9Njf8w81bgiMY2hChw6d21DaH9EYQ+AK+KsjMScNNcKh+arRpRG\nsxDp2J17Dgt9TgD0c2eN7Ixq5RyardbnOAHMQC4enIWtzhmm3azWKJhrFo9jdZwV5pNxyBxPOPlM\nHL9tR2VAvfsK6lhVucLr7L9TG491LGCLTm0OIh7ifcwMiuLSL9xxLQSe8WZXXbOqoDKrmpH4FKhQ\nAAAgAElEQVRQlW/q/h0FpJQ0+UCJudJsZYJ69hVPcyFZHUPNkktuvMxQqmUsP+PrcM3GVR/oL1ZP\nqyaACZaK/CwwnUwLnTJXw+kwwZASVucWZA94lycVQtRFr1HyCCoe0fXj9TZrEFulzHNldT6HLy48\nsWeSZQtUPDGTedXq63eKAnTMFqgKJn1G3fxiQfMpxX6yfi8B1RKZUlbYqWWKGXu1bgKcTdDmpWEH\nLu5UcSDMwhfj26qIRsJPduFLVTmsLqZGN8mKJ14RaEKD2DdWiw1YWYj6wS0WKbtm2t7UIsKTznkx\nusMxiXpf6QArxNQ65nE16J1Ux6Tfmp/R63UPKp53cXnWnvKkUudpwo8K02bltDpyPEbmK3jcnh9j\nfjXzYacdf7J7R2GE96A62rBUuAIAEbkFwPellE4D8DXIZ+IrIrL7aA/uqx2ctgNw2gHW5ujhrZYr\n0gYAwEVnngfAMgexCVgroytoATXdyHowlYHUoL+ckWmCg4WpU62UHtZZ0dpbMd8Bf/2VS3HTrjtr\n34pIt01WnOYFAI5b2V6JQJvNhxhFUe0R6rMqGCpiytotXjfWGM3rOrpU7GoaJwQzlxFnn3SGs4jo\nXLImSImBj0Vja1FrmUH5NrbWNSsUgA9cl4siPufcp7k5+31S4gMgjRvbwdkhbJ9uszlS/15YbcEY\n4xk4xetGgfvRcfCec8JMx+WS2wCo7gSWW65G2i8WK2fZ60SK1RBWFFPnXYl+z5rJBKERrmzdVufm\npqHpodldCsj7cXU+I+ZH3N9+HccmxtEEqhkJXbP6PlvU7IyQ8CNazJv2aKhRZ+eDNfUofc2xfbrN\ncENwq2C3i1oKInxTFsbGsD7HCrbo1Pohug0pOKska4/Leb3rofvreVHGW8TvA3MJykzSdDLBeaee\nXfF8zPq5Os4xTZNsZSrKnxpzpYpI0qIPJKDoWTxx+/HVYjMpgo0xylZrSOdtblil7dkhp6hShQW7\nBepSaeILIOOYlWFqjDwJTNX9CYMJVyVYnxMYVAUoraEKAfx1TDhAxXsqfHJsZY0XFclu/2KJoKrl\nqroFWnyzJrSwIsKDc9HTfRPpR2TQY2p1wLwO/Ht5zaZpKLyGj/dU4a/2r0w6C7f6ndR7hvgmEUvQ\no0JozMw41vVjvosTh+n38VYZXXMB07157UO/pWayNRftFu/XumjJYvTy2ZnX/r1HAH1zJ3zwb6pr\n6L5fVSgUXgWGt33MlWWgjfXo6hhIqKt6Vpof8we6PhabTu6wRZDTRlT4ynsN7lvpvtGr7CWi7Q8p\n4cTtxzd7pUysehIdC1jLLbCCiOwWkctE5NItgrU+8GZUcYe2xuXQsxUpjz7mytJUTlrmrCBRhf2z\nnPKaEbxpeEybNxMLQDUGc6wHZFbM/Jp9ZUipBv0CxpSa2duEwqeccW5FatovC5NKr81KJ+RSYExe\nTcVehC4RwZT8xaP/fiy8C3jXpXHMGhVLSmCH1FwbM0MQ3RIUXvWRtzRfORNPny2w59bBZnHXglBC\nizCH577mJ3Hzrjtp7QTPf8qzy/dfLlyphZTdYjaHWGwfs8BjdynbVdQWVSaNrxtzVzVk3J4idPpO\n1VWTtGvVBSkwI04okHZPxHPHwvtIe2u1WK7UTYOTobAF2jFHkSkI/eY5GWES6REKthzRXq3WWBuL\nWvWcRaxk31JGQy3Ws3FGll9TSEyHSTnbeZPwXmMlRvxWMXbUzadZ9WMDW3Rq/dAIV45ZYzcjlL8t\nTseY4Ogm6l3NmMHN58q7BR5YPWTCD1laWaBSy4dIzibGygcAOP+0J1S3okmaVLqnfc9H1dznebg4\no8L0xlhWpYfRW0Qzkf3EN3x/fo5oL2vlVSGTEnDrA3fnsQ3mPTIhS8VIDKOlr4/iFWjdfRFhxgX1\nzIvFk42wdc/jmFS3d3VZm1dBr8y/pDjXdTZBI55sHndyVqr8LheAN7wgkKro1Vjwa++9GVfcfk3t\nk/mnut8inh7MLdC7zFNiB6hAWlLC0x6v+6TQbxcXLeqhYRq3KuTr+pPwYS6aUveDumvrPqxt0BjY\nO0L/Zl4iPi/gBE82X207JiFSxb255Cm90HfFKX1HaeufRQETRXhVAV/3QL1fQM+qxu2jxGKyMl+t\nzYAJgNWNNeAj5kFGWhcWjHteKNrGoynmagsOA4zRUMJiyMsJG4A72IpsFFQLsH2y0mi5Rph/c35W\nNVe+3lK1BBVN1Ww+K8KRCV9sgVgtApUFEyc89fHn137mRTibFzc+zoyTYAikFlBkN0hYXSftk7Pl\nVeIzWiINTd9biyoWwsYJOVwq9vJrTP/ciGZAAiKCT9z0Bfznv/7vOaFFmjhGkZHFLbvvAgA84+wL\n6z2LpaK09xQfpHNWzZ4Lii5tDMjuCJffdk2zjx48sLfO7fzTn0DauXztrpK5rzF3i7lpJBy+5YqZ\nohj7ZRaOmOWwXcOBkH+tO1Fuf9/Tvs3eqUy8ZtryKZwBFJcOXygy008dTztf913obABm9VqZrODg\nbNVp+V0mo0Kjhxr4a+3xvvHxKuKVI8H/39w4TWNcx68Esgh65ipr7orabsQfc5lbZs8Qs6guu9m6\nGf3ymXhZPTsd9Ej38hB9POgWPDqhMp0BX7DnQsWR8AHyquhgZq7uh9EY/KpsI2ZVFXLKNG2fruTa\nhugoA1PIJDuOEIw1GZOOZzpkYcosV0NlZHk/5/NglqsBfSZOyjlU18eYFGaVEnlAsuUqt5mIxlrK\naXaE077UyjVSvLLQGlZXQRH89Df/MHZMt1VcqfhJNfCjCI7ftgMHZ4ey4Fe6m81nzj2drUeWit1n\nqpsktnRNLHFIGV+PfjDeZ6+Yeh/9Qu9S9mF1nUPCR264or6X8UwfT+Z2zMLCuIm9gdgVVNdMlV+T\nQnd4783525AQw5Ya/X89Q4ZzzfvI+jZXQ8XbOpaqSBOzbM1IyVB5xpC5WC1XukcQ1lUtZfmbmNKL\nBTj7HqYkq1lvSzuVrlVa7AW5qvAkZRu7q+t30D2kdGxIob6bCDguUXGFuilGLxChMfHfetY4Zit6\n0QjwqMoWuAWHAbwxTOOnRIYJFLkFQgv8knBVtGPbpitei0OIUEEzx800GLcGo04qg6hWIc7I1BKR\nGWn+ssDzA5c8H2eecFod80oRzqrlijLCqFZNTeNT8kXWw6OaHf231qwAIWl1C6wJMgjZTYcpZmtk\nC+SDJsgaOTU7KyJsYnAmnllthBaQBk5IUARqVrneOwvdAmFI9Zp7bmze4zH8nYu/qSIibUcz90V+\nVpkHTfGq1rWNgu5NV59GWLga+98AZIWifo3xJw0ghNpqtZRT2gPanmrVLXZPkW4MdG3XpY4PKEwF\npZYWYNt0ms9AMoLA2t+6v6tWnt2KaN0oyECtXTw2jyNQ1pBcWUnoY02sMkKAxaSwNYrxRy3wSUoO\nFsSmaVIVI5k40fiIedAgfx3zgwf2uvGyQmEzQvwWHFvQL/St5+f6yszQspY9xjUq/dBrkR5xfCcz\nq6oInMtY3dlVqWDWA1S6oXTTYq7MdZz7A3xcU2VwizKLrQeAMdOVRorH9XoOD8wOZaUObD/POJsd\ncswVYF4JmgSDXQQVqlsg0T5OqQ6oxcncyk857kRccMYTSaDSb5CgWGg6THDi9uOx5+DDOG66A0Cm\n37W4sBgjrGukQlRNXU8uw4pvXUkIEuiA1rV0lLFk//MKTxXs5oQ39TpgCS14nTQDrBMoqlgzln2S\nv5MqdWO6d43x0Z1ugornS3wisf+fvTcNt+yqrkPH2vucW32pVKpSV+pbUC9EI0B0QmCMDaGxYxzb\nQGzg4SaJ7Zg09ktIcPKe3wu2H/4Skzi2g5t8dmyDP8B0lmT6TgiB+r5vSlUl1a3+Nufsvd6Ptcac\nY61zbiErVUKIu/yZurr3nN2svfaac4455pid/cy1p1lXXn+MyY2fHy1WdsvPUWQnAavj0jkDJCiQ\nIJMMk2S/W7tOfl4BjhrsLFgZVeBVZK56Pv9g16thn/Zkyzde2rio1MESkBn3Yxy77qh8Xf6uKvDu\noIKrNQKwgNQzgxXYE5fKpvUT7B/Ohe9f/r4/FWM5uDqMo9wc4C93nJK5AmxxaO0SAAxz8DRshxUC\n6MgeBxfpDY/cYVknInxAVuXLgQsdLkUhaHJTb4RQIEttKDdcZo5Ym6X84ZiAvcSp7rvyfgXZsU2M\nGwwl4IUWaNcZ+0z/SBucF9jna57y0nzy1i8BkEycZscsIyabXexTA8XCCZbAQJxWIGdXMsUxZgdi\nKIghR5QXvQ5wPGvZFIGyDqc3uiGaRAOr4wJG+WpCfeVPfPBZ15v5qHN6jiNVVVYOrp7Iobz4EsFC\nEdRqAEe01dE/F7QwqqXNhyKKU2iBMk9dztxobw0gIdKL3Sg7SjlobluUxfSlw8Pf11QGnccJ+XU1\n2iivOdGV/HxGN+pVQa2fMHK1OiSN9DjLLWsgSjrQONM2wgQtEHZ8vsPffvj24r4K+hD8GSyPp/fg\ncz4nS/ur46J1qYqEWwZgirNDqlmRCQAKZ9WabkNr+GD7kyL2XKeJps1Mgov+aN8mCjmwKS4V0kiz\n97yVK9Pau1MEiOnnB3Y9ik/c8qUJ2i/3PM4FM1cQm5XsQTl3gDMwHGTz2hMNUozlEV3FlwEVHV7/\nDEDmSGKjNDh+/WaMu2Tfe4iiaD632j21g+7I58xV1YxV63Ic6PF9JMCBHltjcCc8fwH8obTzGlyV\nPQ1LelgOLJCCcqu5kky+i4UIdU2PG6V+Ld8LbQgFLXr9jlhWn/+A3fP7cGBxXmp2o1NSde0Z+DxJ\nC2SAXX82AXGln6dzQel0myMJWukDKsujqAMMjWWiXILefTZTN4zKUigp+fpdnZv0jnTmk/KeDdAW\n0MGpsw58MAit/QL/d9IHsOMHZ37p/ft3GTTiKRnLwdVhHLF6IUgJc+ShdOoNQYmloAUX6kzrtTwF\nLUh436879yUAgHt3PuKbpVAHWcNEOpDRAEJFCyRq3yRJ9BCCpeDT9cYCiQvVhmYbXeNSq0oJILLD\n+2Fg6cEa6ZGOVvo50wY3bF1KHqgFLdIgjW+UG6gmifexo5oVfU+DxmlO8j95yVvSs/GdxjJXNfWl\nWAuA3Qv/dmBxHrduu9fRm6bBC0+Z3gtVHXLeHemFGizo4Px7v6Ynl7kCYkYkfWN7aNc2PLx7u13T\nwQKKeq1DDLM7DGloBuauxx7EgcV5Rz+FHjI/WswIotdcFQYof3LngT2TdyPXsnfhQFHHwWc40w4x\nGo/z5QYDMZTuwM26QFbl5zpDSVqjzpWqsmlwxGO5YldvU6f1X7ZeJfAd92OoU0cjrSpNBqL0Y5tb\nzTLoNSUVz7E9x4/d/IXqGU+puXqK0MHl8WRGCc7896/9df5vWZta25K/xb2/mXAUFdEuBRtCtTdy\nranDn5w7APIeK5hizIUYC9rZl++73t41z1y1ALzeS5UDzYHTzFHDnnaTjm86XpnppcjDmDXALVuf\nuPJdGxqToud18drM1glC34v7Tjoj95FaZILzWAZaZQZo0LSeuYqxmEM9twYBXfT6sz5m2yrvNdeN\nZkF00GlvGl8beUInxLu49kj5H1WZdg+eBJyOOj8M0JmF69w+RBjwlNYhwWvOWT5HaGUuXT2STAj3\nS6om8TEBaXwXWB4xNv9EBC3qQKuYAwlKLcvVFcIuNYgOeDA1Uesr7yunchpFMr13ntE0mnkOuOw5\n5vfXM4aaJfK1WQe+QPK1yAaymisBHXqdH76n8KyyCqDxTZwG5jAY9PXkGUC9nlJJMZjfdLjHcnB1\nGEcZdTva1MeEeI3FccoAlBklRXK4OGbaoX2fm0Pf946e5c9w0LHmSw9AggrWYZSZK0XoGjSekQqh\nQPj7mMQhLMMlNV2EtSK8n4f2oSg3nGj/rcqEjZ23Ka5NOfIM9qZR0uoQgvz5JlCgo5mghPBZsT6l\nNggAsHq4Aucee5q89FE2ZEdaiWy+4byX88BQBUcgOTVv+ZN/nZ0LpxbWo+u7Yt69ZomHXnqz8DnN\nm/YSgdjBRjK2aSPlWvztL/xPoyPOjRamPgNeG9f9qBtj19xeczhS5qnqQC+GBEhzNG0j/x/f+Fj6\nPjwbqPfmgYqre/n9aBYt0W4ZxCBv3qmh5ahwPmiU7BwoC8t5/TXapvNYZP9iX1FvkK/Z9wUacaXO\nKKLJ9aoB5WJe38eu22TnZgDGYnnNXBGlJm2jDlIZWLehwWP7d03M51gcU83GL4+n61CgxkeNkPOT\nfKeZtSmKxuFZ2y6v4RAcgU7vp++zCgroOx2Q9r90aZP1MUZvC15zBcAAllbAQ6XcBXF2GRCMss3S\n+igHDftiH2FA5MFPZ/9GOKvEUfMkGuM0eZ9f2mDaAZdij0WGgM2OU6DgWSwTV8hzykBUbafVUHVj\nE7SIKGXBi2A1z7upgUo2XCmQNfOhFk3gs+ZeoStNaYFKIS6YMXJw6xUla5FZNs32RfpBRgssa4GU\nnkoQ1EFfl53PN2QOuvoYpvxLW5v/z0CvvrfyCgZwlgELrnyntayEtrQ+ywALZq5ilHt1ULMrgqIS\nwAdKoLX0t1DMnwVIBoo3xfG06XR6zpNBVO0zlsBjCRR2EkSVQX0JfASbv7I2WFk6Po8OEqa583YI\nej3lWlzOXD0jhjpcRPAZaM0MZgpZV2jkHWuutspPO1rd9ym5WysWAUkKfZCLfxPCNrBjsZ8UN+7U\n8yqp0vDlNGcrUJCCtEBH+Nnninx5lcPkhkZxCJWhp0F0ukgZ9DHI5HkV4VQusAlyTHMWqjeIDqdv\nvLAeXBqcdDlo7GJXBFCwn8umzXSwm4wAMdhlGv20o7bg7KNPsc+pUdKGiU3I/TX6HpvXHoktRxxd\nXLtmB2qxjjpDUl5ra2hoCBPT8oSGIc6ykep5F7uRIFWTghYpaxrxwa/8JV72X95p10/nQTdJy8Zm\np2XPwv4JpwwAHt+/O30vSO2cBgUxYtOaDRMIK++Ho5ZY5zEG7SA3EXaxllKKvXR+zAggThgbnQut\nWVIKpNJglspmEX0swBD+LNnDhfEICClAXDVcASA5gVT9VBoUKbvuBJRiBTEjwePY4ZE9j+HTt31l\nYj6nZ66Ww6un6zgYEOIZTRcpYTCzIoMproLmKDaAoo4DoVRfm0Di1SmNsWI8KH0w2S5md6YJJoTg\nNnLQuBJgEcTAnVsCPJ7dahzoRAnutKF09NVZjLJP8d0cd51RE1lPc/bmk9Oxst0w2lXfF/aM11g2\nBfasj1KljNYWPQPEd7i1zBXtZqmmx4CGGUMTnaqAy7EEkrb3VO+1PnuEkt2CfH2azfFsmF8r+1n+\n+mt+1uZJWTTc53j/ylQgaFTUlAVnwDj45celv5F3KlujvQU3Os+1+EO6J1fB680/oZ30gEmVev2d\n8d5jjQUFJX3V+3Exg+i2zYMiVerUfXdaPZz5aLGkfzJQ1drnJrNcFGaIUQIceP0jSyH4TvAanAHF\nDF8KoC14kiwTf+a74e9AnLi/mp6oexmzspqpAoBNazbYWl2uufoeHRe+/y04sDiPC9//FvzM/3qf\nLMZYLOQ+JqWkxS41xEN0qhwdbE2TG51B0vyljLr2FEiffetzf1gyV32xsWs9EyN9k1nOC2+UgyvN\nfJRqabkGReqXxvklvnXbvfjxP/1V62yvtR78rio58b/bHAwaL1w2YHKatRnioKIFPrx7Oy58/1sA\nTFLlRt3YxTy6pJ5nxkQ+F2NqfKlBl76MXd5Ao2y2FAKg0zoQJCsE75PCJ2o0GQkoGjglaxDKviDz\n40XfMPoeNWpIg1OPGBlAjsGS6yeTuWIg2/d9EcBqcMVr+avrry6+6wh1xKNZ1XA2N3EGSkPJ+9Pg\niuipUwvT507duAXIc2oZv+jPxGlHB5diNyRPaq7SO+XrXmsUdS0UtJEpQdJE0JvXhzoaRoGQ69fM\nlWaYNKj2mivPXPHaFseLZmD5L6kr7mDwGrz2MiQvwEAMzvdA3vtpQ6Vva/rK8nj6DQvi4yQQwiWr\nwA2f72JWz1RFLs12uROYVp3R0OD7nam6wQETd+icfmRZl5jab7DuiIIJOgKC0fua0OQ1LDYmO7ir\nZ1bafdeo+VgFbWTtquIeoApsnTmYgGfrTIo9O6chBJyw4Ri/NniWyzIGec/RmiwGTiZKAa0fyvu9\n7Yd6/x6wUEQqAiaRrvVmtE+k9JuKIHITYc06MAtUvdf67EmNLDNXpcqqAUcSVOye34cmBBy15gib\np9KxLgMBtQVKB7Xa4uCqjOn7sO8zSHfaqSv1TtQIQuiXsr8DwCkbt9h7ksoTnFLnmaLGAxsLtj1A\n0r8bLTCQvu82TIMI+ism+JLnWTOD00A6BjZGAZQgne8pon/WwGI5rwOgae7r9ijTQDZeg4KDZGZ5\nJq1WC+wn1poLosj/VnZsAiixWsEc5izhJx2usRxcHeIxn7MR1z54S4EmRHiq1ZB4oXrV3NyiEJZR\nPfz7qhajIghcPNc/coepoJFGCGAKhSAhVNZkMCbEe9SPEwLXOArIQOlbD9/uzmt0hUB1/HnfXnCq\ntEBVkWITYQZ9Y7DAc9yLslLfy32nzWmY6Xt8CZWyVDu2VnPVuOw0MxLqMJMCp0IXeizS3HSzVT4z\nnYau7+1lJiLknH+fawDZCDdGrRy2A4yjN0eeHy3YWtHMiUkS92WNnl0rPOPEOX0yhC0z/LEvNjxy\nlxfGIzOeN2+7e/K71f3uySpzigxqwKFrmnNf18edtfmkAmVjz4+AkJG0UnZfRxEs914ArUFvjapZ\nhqugJGmfLq/N4n1OOCKIxRzWaGedUSidOm3CqJLWrsDG78+PFwtjBRCIyGsXU2iB5ljkWpDG60OV\nxw4A77r0TcV9aW2GZqeXx9Nz8NlMpwVWKDT8d4km66wC2CdKB8wyoNyXQiiEFbhuaRO4Fhk86D6v\n2Qk66qxr4qBNA7yJMIEEMi8S7drrqwgqqn3hHGh2pqaPKU2X+yuvvW0aAfE8E6F7WPrXUXtt6s29\n0BoLw+Xbee8pM16KCYQQMAj0AYLVFbcTc10KWtC5thpsEfdg3TGfa6iYDwbsiQ1iTXO5R8LOneZP\naIEI+Pzd38Rvff5PQcU8AO6LwNcp91pSm5W9AuRsVXQKHs9Du1gHSk1oJJhgppWKqQR9Hdh20Cjd\n+0w7wOrhSts/Pdj2zAxFLGpGAG1EI3aHvcYsCIJnHAmoOxjt9+LH9KwRJ64UfvF13sr8smzDfZJE\n0Q32HPNzhgAvZEOFSslQ/rVMb1fSApk9M1Cj95/T89Kea5PrrAbw1Jamte1ACVcQXVJ/x5YzV9/z\nozY6TaMo1STFyCQ5Yxmk8OcVwxnbaAfBN0KlqfGzdz/+EKiMB6DYhKyfFHxjbXVjbVosWuYqOIKf\nN7+v3Hu9ITaTqoJy/9H7XBW0QFR0Efgm79xcpyOq88iakZiNLgtJ6XRWE2r9qCz7FhpRDvT0OGvV\nUnBVZsQ0i8TNlGdKLyxFFfosxU7RDaJFZbq+rhHiZhnyXDM4o5GaGy0URon3aRRNlOtF559BSVKa\ne3JO77TsCH8PIPWqkbn67F3X4uNZ9IAGYhpNjJudInCWjc00VkX2igAkeiG8I335XSDqlwMKAPjI\njX+HL93zLZuXl572HKwarrDvMHvLLGNLeosIqgwsm+ND6TlKZeK11/NIBJ5/55rW7yklq6YFws7l\n7wQpwvzsNx+6dWI9MID0XntKC2wyDTitkR6KbsIAGH9uVdA4xTF9qoqGl8fff6hDokMdWnXW+OwX\nu5EASVOeeSTlSgrXiUpHZrH9PR4aWOEgCWkcRjmKvfW5AvxdvHDLWUb34e+BZOeCZJCcFuiDdoWo\neUBjGfKiDgdeL1Qj8XT4Ddikg2zZh0lBC0fNq/5b5vAH+36fjIbRAkmxhNhLZ8R45ioEmN3X7LYL\nG3mtjN1/oBS797GjX8B7DRXzwbOfQlcPsEDj3p2P2GobCFXLM38lIBhCmX3knso11iNifryAj970\nOWELONVSRXmcjmcEdAtmzN+QoNUDMgZFUzJcYqvTE/T3gJkrZTKUzxhFkM38rNapq7gD7XTX9xi2\nra1JD1JrtciSAljbH841fSRjQMEZCjbn8CbgmhniuuO5LDCrbDfg7BNAabQUJ/O9I4EpZXZJmVTT\nbKnuN+X9c55F0KLa3zz7iadkLAdXh2iw2JfjDee9vNwcoqcku9hjoNmP/L9c1Nz8Objwnn30KbbR\natFlvYF/4I3vwcd++rcLHrIXDDaO8kjmSvtEDNsBFscjtMERDN0IGdDMtEPrh9WEYB3nObiJkRNd\n84IdISI9wYuAveC4pgV6piNJprtqkzrwvBcav/t2PoImNHhkzw7cvO0eQzLJPX/fD/4sjl13lBxX\nqCvQ45YGU/nVRVYyb3KNpreDP6OamqaIGTdRGqIDo/kCHeJGs2/hgM3ntEFkddyzfu7J0wKJdnZ9\nj5WDGVx+5vPsvEpb7GKPf/vpD+L//NTv2rUNrLavy9OgQcLkJspsEiCbclMaOVM7MqPRF8iUrg8A\n+Pef+T38/Ef+n3yOdF4ij5xv0kacChclsIt4ZM9jFSAiKLMESX21zv3zfZHdoUH2NZ0+V/eXAYD9\ni3NkdiaD3rSTCGL+7I1b75oIrmxfacoAMck3D0rxgb4seq5pgfV6U8qq3/vUpbQ8ngZDqTQAcNmp\nFwFwug9QZk/57BfGo4LSxmOpnaOzSmpWTf9Oe3k0kIqBFvd8AnzaxFTtGO0M1yffr1Yc8yaETBHz\nnldqT8c5k0UKut5PrR5rbTUM+HB6W5Tzkk6mbS/o3G1cvS59xmyw9s7zPYfBkCqlTevxmI7hew1t\nJO9f2y7QVpYy8C7Frv6A27De+kGmdeIZFadkochSGfukromLfl+ct4BJsQ/SRwE2jNd1VT4TAlp9\n7I2RY4GKZCLLOrHSZ+K8EwC1TCsDAGOeZGecMQZ8LQQ4LZBzZcyj4P3gzLepAgTLcpXzsegAACAA\nSURBVGX7piwgBs4DWX8uYuSy+B70aaa5Bun0/fKyg4R9OIXS1lMIsv/DrtkCOJQ+qAY+fJf4PVcL\nTNkzZ2Zpr7fGrCTptA4e5POj3GP8XjW4b2yd87NAYnwhP8K2eXI+0JMZy8HVIRpfvu96AL7IU92N\nInpp86EKT9FYjwYGXtioNVdnbDoR73/dLxbOG4/fVYYDCHj56Zdg9cxKNMH7JilNyNLVgRzVsRg6\nlxZlRoqZJg7WcTFzpTQHvRS+gHXwRnRk276d2D+at3tnzRUpiMzgaQGuIkmGGElAxFEjJ7/3tY+g\nbRp89q5r8cV7vuWZsnzP61eswbHrjjLDosikIiC8Bti9wDfE6EWoGvhqZiY9Id/kOU9NcPVCUjJ4\nD3OL8xX1Kn3vIzf+nV3TtMxVH90xpsF/Mk5vmge/py1HHI3Vw5V2/c8/6bwCtdLg0wtoI657+LZ0\n/8GDK0VpA0IWaenNWbB0fyhpgV1G8IiMJ6STtDeY0MtSNVeGcGYHZ5oEsgalAPDInh3o+94baQuC\nqD9zkussV4yo1hIDQqJ5k0aRx/jYTZ83R9KQaAIAlRQ7oHSYNOj0OC2Q70c/6ZgIGOJZsg5vOv9y\nu++1M6v8GYsx0+z08nh6jpqyo5lSd8w8eGIQxhph2g/+3fD4mGsImxasufJAK33OaYHsnec0La8p\ngoGPXOuqeMr6x9Lh9ibCQJYWbxq/1ilgQx972z8sc4VYHJeOvtNoa0GLgc2J0taUgfIrL38rPvnO\n3ynP39CZd6eW+0eRWWga9H3Mjr6g/nY7paBHyHM36sbGbiEAk55jKJ5BA/oDXt/VZ3s6ErVAqjly\najT7o2IQtKkcnnHxQIkiDUXmCmWvMmUpaLbC5i6fQ7+jDBvNGDELpgCo1spyf6eDzvlnzXhv9Ghf\nn5z/lF0aeE0Rpgk2qF+n+z7vI1i9nvsSIpZhfllr8uh1re80WutE5ipo5irZG/plk019gwVRfN4e\nWOdgz9qzuE2umx5zbxlPKR/ZtziH/YtzOfDzesS+ssU8p53bF6HtPaxJTuyfsYEq+q4wo6jHO5xj\nObg6RKN0+oD9CwfgOaloAQolnmunnS/5NFpg2zR41dmXGtJBugSFBKZTD9JgEa+nXb3PFTc0pQXG\n6MpDTd5o9PtAzlT0PYY5c8WCWpNizyO9tK0h5nx5iZg9uGsbfvOzf4JeDZJtkN7tnmIZdPQswKRg\nB7zJLeeyfh71PZCGUGYCo6FavFbli6d7yo6nIEZ0Sj1zRZqAqxIlQ+apb3U+ifg0ObgcNC32L87Z\nxjQnNVd939vPc6NFu6ZpNVeoHBM82cxVZPaJNLQB1Pip0a8pOHxOMXom7tzctJQGi1u30VU0cxUd\nBKgpDzFyq8w1V9FrJBAnZZv9fnpzKnrhoBd0k+B9oZR22/Udjli1Nl8/CiOnhpjXqKOPPbpYom18\nRpxnnoN/VxTSispjLJ1Uy2Kl4x6xcu3EekjGW2mBnr2g6iadA+5F7sCk9+y49ZuwYdU6WwMcrGGs\nAYPl8fQchirHzvZZYLpjFmMlaCFAGj/nWfVo+xfrIAOAhfEi5kbz7iDGBKA41dgzAQaSSEbbBFcs\nEPDaQZo72qm2aTBoWyyMR5bF0gwX8pkoHMV6l7Hcg+6RtWoZ52ocy8wVqeb8jiL0q2dWFuqvMZbN\nUo2qlr+jCoVtaPD4gV0C3jht3u2cByYhZ668zxVrt1r0PcUKCFb2xfNk02EGvio7z0CloExKMEmQ\nVzMHaa2V9nSca4pL2h6Mfs1n6dBlSXU7dt1RJgDEPRcQWiBC7rVVKhwSxFJKnoPeKj6Rng3ZCImK\nKZQyuJN+YDSP+fFi3j/HRZY2LPEz3ykDrQzU8hrFgIBdc3tSgNwMCn9HwQjdxz175CBdJz6DXoNS\nXblOSxpgKNalXjPfEUQUPh3PQyl+s1uVuIQHn2lc99BtlnECXIm0rsXmOzzhA8DP7XoCpXoklyzf\nnYkSksM0loOrQzR0gQHA/HhUIS/pc8N2gIXxqMpcpU3IUqV96aBy0BmMEXhg9lH88kd/y14M/YwO\nIsxFMW3jKI/XXDWWNRg2bTIWTSP9sfyY/+vbf4tRN8bKwYxlrgbBmxjKrNhxDZmEb2gAcNGWs+y6\nla4YBIlqG6dAOQomUuwxIW2c+6vvvMbSyJq5aELA6mEKNovCXiJBcKTUUdOSRkXkx5872VreOJmZ\nK6KNEOPJ66gdGdv8pGbrjh33A6hqrqL3mpofL+RrmK6CQ0TKqAl4ck2ENWAkJU030E4Cvou2nF1S\nQyVzZcpBnWdmdBO1rJPMMeemps7xuVntHpyyGaPXztUBDufQ6ENsQEkDA0eMnSdeZuKU1qiZyWm0\nQB3MbNpm33vNFZ0goKQF0lCOFAGNTvOxZ5Od1NOOOgGnbjy+yA7Cvlf2iOGzoHNQZK5CCTaMidB2\nY/sd5HoNnFnOWD3thwVDWmeDMrBQZ40AxUI3Aulbqt7F9RwRwabUDF5CSOqxP/fh3xBQwMEIrbmC\nvX+lSh/3HmNaSODAd/Er9ybmSBMarGhnMDdaMEn0mt1BpFzrXTRYrAE5rX0kGKF9t4BExVUA0+z4\nNEMOlE4t0r5mVMcp83D9I3cK8Oo1bQwaTFgjU8z8nfS+Tty7DMTi/pkpaQzAUuBLoSsPWuz5xGj3\nSXBKKfxlL0DkwClYBmbavqw13WyQa/5T3ufO3nwyjlu/yZ8JXKiLCr6JXk/H2uvESlvDui6C3omW\npmvM59YVF5ViyH3483d/s6g9R/DgIVEBnSZbZnujMSYCYOUTCUADPnXbV/CFe66rqJ2t2Qmlk/Ld\n1blKazW/wyB4UQXvcPEQf/e8/juJcsGu2e0a6ezZD5A9oxYjobiEKjEmmy5Ad7EO3F90GAi2zugf\ncG2ZP8C5C5OZbW0TE8IkuH24xnJwdYiG8pOBhNZpdoMGhClvLfLXl1dRoHpYF20pFmcWiKNGrFfn\n4Kpt6NhnOXIqKDWNGURHwgeCxHhQpqPJWThuaKkR67gIrmJkj5wyu6PZto/d/AVo5qakgZGaKJLy\ndERjKcVOhUMAeHDXNnce+9JQvufyt+K4dZswO7dH1AIjFseLuHHrXeUGEcs+I2m+uTnBnh051XSe\nVaWOhlKpeyEbh7+4/so8T17QnYx3ygrszTVV3YShyZtFp2tucr2UqO+0TzyxocfRzJUii7zfc485\nrXC8jcoJL4ynoiYdA93UIY4XICpDwYNXnjOa4fKaK0Vr2SR74n5y8MZg1miBEkgbzQShWPukm3Bm\n2iZYb5y9C/vxH6/8A3FQyw28RzQAA/D+La4i6nUJ6Tr9uW9cvd7ec1J3y6yriwQoyMFrYQBnlBdz\njvP73mVKb17Hilzy2ZP+QmSbI/X2KRUPnwpkcHk8ucEn02Wk2XsXeuBvVEGU8tmePdJ2AZrlSkX4\nCK4KxuEUsZTFHgoqT8frU7d+Gbvm9hbUsIHU8TShzMDy+LuzAikAzLQDzI8XcjPfSUaFCQiIXVLA\nRzMvqqDHeTHBI5R07IngKnZT7Tg/wwwcQRTNXJFePBAgjzZGxSUMfCIIioCv3ncDds3tNQeTQa3a\nU68pKlkiPufeuoH34bRN7imeZaDz3IbWHOo8obCaZAODJoFYfgaY0jsweobfsyy+ngCgpW1FEDur\nSnGqQFmCRwTQCuVfxDw/k+IPMZa2dChlFIl6X5YzwLJ+HuzECDSNA15pXTuA5utvABd2aeWavUdo\nmiMB8uG+Av9VSl4paEJBC59Tgu76rOvsbYy5RYKChVH7YXoNY/qXzzsYQDDt2QMZ/GxqURNSaGt2\nhIPoWj5gis3wAGycFaM9SD68Yzm4OkRjmGkyfKCjjPACXgyYXhzKnkraEhFKL0sv5OSmnIrNyyaH\nddZCFyngmatVzNjkF+evrr8Kn73rGxiEFqOuw0D6ihS0QDt2+veUjcfb/Wo916Bh01UfVB3rspNa\nFk3K56IHVCOpc1Fa1ji6dCjnbNh40DVoWiyORxNzP5ZGzW3OxO3YPwsgZYR2z+9FjBG7snFm4MvN\nhBsaBwUQNF1um3N2nimuQeMb0wdt05wUtCibCNNx5dyrwe9Eop3B5MEyV86Lf/KbitFEJHjkmk5z\n0hVrfeVwpvhu27RAjEZRVcef9B9y1/sYLXPC5xFCWTytAhY0RjHDWErdSMFAiZDeP7vV5tuK7iW7\nqpQNFsXrO6UUoxg9aLFNPgraVzlfMd8bzBjluofGqSuAUCnEqTv5yGONmuMBlTSalMzuNHCmkfdJ\n0WcA5kBp5pxrPDkBae5ncmNlBmQ87qgfF4AE73V5PD2H7o3DtvWWDuIUqQIk302COEvVXCVa4Bht\naAvlVzsvyobXg3xMOosBAX9942cBuGIc9+Ox7GHThFm0HcnMYFhkrihUwEFHeGx1Go3VlfEeOJQu\nD1AtdpBohNUSV1rgoBlgccz+gpOjbZyWyD2H71nTeGampvwTpLPsVizrlfS91/YZLsXu4glmd8wh\n9Xc49bAcG82LgUN65gxiGgOnmI1oJRBOzxzGPNBG5bVoV3kPKqaT7Q7ol/Rm09Jzd1og75/HLdde\nqUwbBMgzwECyK7Tf+nzSXh4n9vWi5spsu9sXu2cBIQChrQdnJYVQgnlaT6tqgaQ1EqhTsEyp5EBV\ncwVp6iz2yzO0/o6bfWKmh3aLwbUFwX4NGkQD3qfSxVRcFVHXtbN6/HqU9meZPgG6a1qkM57GAgAL\n3b767uEey8HVIRrHr98MoKRTqMPJl9PQckmfxyj0sryomymb8kyu14ox4oozn49//PzXT6U86GDm\nau3MagAuxc7hFIKmeIlNqKLatO/LEqvz40WpRck9PvpxYQxihCFmKtjAbA/HwnjR6QmywRDJ4YZt\nWRCia0TSkRUO84s8FjEIRSGZGTztqC04ctU6HLl6vVHd9Flp475WNnI+V27S6R5TLZXVXBnSnxAd\ncuPVKednz9h0op1T779BwKY1G/D4/t3pHiokSHs+8PsaiOkDaHPwbPU6tUfwBAbpF0SpVfyE19dN\nWff8bwYCbzzvFXb/+fIMDUyAw8CABgMrxDgVFJdMC0SgbGwvhsNrkerM1TceuLlArJNyJwMSf67J\noaMUe7reN1/wSivc5rw0oTFOfrlGKilbOC1QM1SkFsWMlAKw+g8aQCA39c7rp4cLAJACocqDitTP\njRJ1lM5AK46D9gbSPiQFskuj1quamEtQM+vVNi3mRguS8VgOrp6uw+nCJS1QAyUVW1IqXBCKF8Dn\n7PUQ7FGj1HMOsiL4HmgPpxACbnrUe+RpTYxnXRwkGIRUl8qhgM6KQaIFNqHx5rBib1YMZmw/cUDT\n9y9VK2UmIso7q5mruo4XcFbHKEvXTxsBjX2f806nlzTnGD1oSHPiPkNIk8//kesI+NkX/WjxO96P\ni1QlAYtkkzzLpn3Hhplyb/RLBnSRwYVkrhpX2muzc+1rLQewKEsR6sB7697HfI9q2BKjVGNljVIr\n+3QTyuCKdpQ/GxU+Kv3aVYDJnjDgMTiFj/ZJ59gCLbl20qWZ3SN47NRQZrTKrD6DTMu4WKZTM1dl\n9pGZIqU4cp7tXwIB0RkQQKolo+/JoJsBkq05OEWzRzRbo1ksXa9KAXQFULd7KsVuQWQsg1OuLcCV\nGplJ8/tz5UYNJJWh5L5ij1WDFcaQ0blR2ufhHsvB1SEalk3IqPPzTzrPFh1RKEP9YkkdIy2K8uBj\n45yWY8VgJtENY8TR6zbmjaM0HEtlrtasSP8qhQBw8QqnKUZDrZtQ0g3qYZmEEHLmqA6uvM8SnVSn\nBfrx/vb2r1nwRQqb/RwapzGgFJ5YafPRmzEDEiKrWZW3P+916V4z8jnuexy9diPWzqy2QE1rVKY1\nX9TnXNPeQnDKRt+LWiAc9THaG5wWuH7lGlsfim6FEHD8+s34xC1fTOfoy+CF29nFW55lv1P0+O7H\nHsLsgT2G9hmtI0yArU9o9NF7KXFeP3vXtW4sJODrYo+Hdm8vvqt0DgCYFyEObtx0WmjcN64+wp4f\nkc8uGxbLJuZ1RINmWSBkultbPjvADWQDVxIjEqqF14Om8cxVNtbrV65JPcXysbi+Of8bVq3DD5/z\nEkNJJ2iB2XFTB5YOFjn+vGd+vre1PZYsnReP00G2rCnFKarXtSwW99pCIKG/j+3fZUbOaBmGDrdW\nm+bzk75LOu6q4Yr0bEn5XI6tnsaDWZJcbyeZUkN5CeDAAadC/U8yWwShooEkrQXkuhBJuU5gTK6T\nZeYKoQiWVBVWBS0s65HfSTpv/+ryt+OHzrkMADDT5sxVQQv0sX7lGpCCR8daWQBd39n+c9Ojdxfv\nZqIFes2pvmdKCxw0g8zCmP4EtP6WmfaymN/vvZ4TOohuVxrMjebteMetP8quw6iGZsdEHCiWtECX\nKuc+MraAi8AL33+lVjotMFiW0VZatq2WuZI9pp4cBXt6ENhx8YVBcCql1o/pfPL+0k9Oy2fQYHMt\nmX/L2EdSGzNYx8BRfBYjosmlk+ZILynqMTNrZ+/iHPYtzNmceGDjgauJCmnmqhnIOyYtXsSvADxg\nM9ARZfY5ZMq3K8G6WqSyNhRwYF2h1kKn41U1VwryNqXohKsF9sWaKZ+8PDN7BzxLyPtKz9oDSs0u\nMnNK8GXlcMaYTDo3aX6fGvBvObg6xMMpBVrXkIaiGYXTHp1eRtpDCJO78srhDBbGo+Rw5XoSopBL\njbUrUsZq5SAhe+osAqwtGVccd++ZoYu+HpQCb5BogfPjhRKpNOeeqn/a9NfHh77xcUO9rBYsOG0i\n0QJ5rx4ErhquxNx4EeSIUzp23HWFk3D6USfI/YQJh10HMzOGzjSOkvHvLKzkPTIoVr660l0Q+YKX\nmSujl8FT49zchu0AF5/gwZPRv2IKZNavXFNkzzQb8qYP/Qp+7ZP/RVBfBuBOC3xs/67pC2bKSIbN\njdzX7r8xX1c61uMHdvvGW9HwaBQ1hf/ArkftswwsFsajtEZlg+dnlLOvFBfOoRmaGCfWcZ25UuSM\ngb/RYJscpMFR0mRsvUFpUtzy56b0vDM2nYgNq9YVKGNdc1JTr2Kk3LMUzQudI6Lk9PM4WvvCtTPK\n2b8kTlHuCVosrg4xUFKGjXYoFAythbTMQc4ssrVEEwLWzqySfn/L0dXTdeh74syCICBgifbq54xV\nEL1GSWmqdN4UKPPz6lrvvfk1SrAN8H3X6jh6dUI7YU2ksX7lWvxfr/0FAMCKwRBzo/kiuChqo+DH\nUSpsut90TlLHaa+UCcFazjqDUQZXCZyZnrkq62/dYRaQxxz6kmXCYCAEKTcIwPWP3JmPFwrKLuur\n2ZIjBIgdLtUCy73BBS14XAXnSMEyWmDvwkNd35lwFPsbNSHJw7eNUwfrmdH54x5uPa+4J0vwmfyl\nGvyNxvrx/cyp1BpUIDpFsKTliaAFlCLoQelE5qp3Rd7CvuQg8vbt9+FPvvmJdIUxWlbMqYiNsSJ0\nXggQEpjo5VqUGfHFe66zY9M+qAiWUvL4PkW4kIZmwmw+omfYCoqerM2S9dNbMKzgNv9lzVWduVqa\nFhiLY/tzEb86othrmuDiLGV23UsMAkqf7nCN5eDqEI2ahjbuu8naitCgQVO8KICnNwu0Y0ow04Qk\nMzs3WsyOdjdloZaPlHUupFk1oakyV22m9ZQFxPZZ+bkeRDy5qQKp4S0HNzQufFMbQ0kLTMdoRM7d\nXxgaiJpKQueZxnnYtkYLXOhGBXJiRa9i9D1TVtITnAqY64tCWwRg5pRKYON0zuRcDNtBvi6vxWKW\nBSgd/HTMUukmIAVXnHNmPKiImDKf3iC3QJzztc6NFywLZ5SFjAYBwCs/+G48MPvoxDOdNmL0LFAX\ne5x/3BkAgL0L+wEAf3n9Vb7+62AVTkPoYhnoKEI1N5rHqpmVJg7BNXrW0Scb1cMQTEHwuGE7XYVi\nI46262hC6t/RZCNmz7jvEoUzI2OOtArAgJKy60Y20fdU8EEphjKTln3j/bMukUYTqPtc9ZgZDIUW\n6FQT7+3CjPc4SyhPqo2WWdMy+7RhVW5yCim0bzw7wWM34jDUmSsgPSPvjbMcXD1dByk23BvZn4bv\nF1CuQQZFRJxZGwp4jUfa53pjUmjdLkeU8xAo6yxAKFes1gYOmiSW1IYGNz96Nx7bv+uggOLMYIj5\n0SIoiT7uPbi64Lgz8dLTn1M4sw1KaXnNdvt9cX91YZdcUSSfdVob73MaKMnP8DvmrBY1Vw7u6bV4\ntkzkwuUaAoLZYGWD0KGmTdeAju+0O92SmWYfL/g+q9mNcewKpTsGWprl8Cz7GAGlTP2KwXBy/oJT\nrZnp9CC7w+zcHjy4a1vKXHF+8z99VDVfqU1DyRDQeiHSBxW0MkGLpnEBipy5Ig2Wo1ZbtfckTFd+\n1syPgodkmOg748Bkb1ksuxax+3tzVozvsEriW/aQ77zYG6WipqxQfl5iJ5yi63PMNVwHV6qkCZS0\nQM4JM6i2Zs03Sb8ljVWpiB5cuf0kGDQQ8OUvvn0ltu3daT4Cv8t/lzNX34ODD1yVl5TLzmwNHWin\nurkSi9MeptMCAaLYqenvn37zU7j50buLQKzey4kgbdv7OABMvLytGFlF7ZGv9ev33zT1uADw3BPP\nsc8xm6E+lRnQnDkZZqoEAxIdjb38Irkrm3iigWlRqmfF0iY8sCaXR6/daA46m0mm65SAKjgK34SA\n0zZuAQBs37ezQGRU1RFIL/6oG+OenQ+n+4XIgYvTyh5Gu7IhoOwt75WbWJozV5Lk/Q+bARaMMyzC\nBbHHjVvvws4Du8tCdHhtDADJ8jiFgigeh9JwDjb82Ml5+sFnvQiANxUFyhoNHX2MmGmH6PquqH9L\nc1nV8eRnS0P9oxdegU1rNphDVyCYvW+yReZqIvguN9EYfb4LQYtY9tbxPle1ilVJedE+OET3Oe+T\ntMBYqD0mxS4U1BPOCz8fozT0TMCoGUsGPbw2V0maRMy95kqBivSez7TaCHUK1UfeGe5fQ6MUen2m\nKs89FcZreTy5wfXJzMSY9kicGdbWxkiHS6SiifKD6PakkhqDN12FrEel8zVsPWNbr1elbQ2a1Lep\naRrctv0+AMAt2+5d8v5IC2TgQKcKAP7kJ34dv/SynwDrjAg60Qn80Dc+XgVXoXq/e2tYH2NpFxV9\nVxs6bWiWhs6/KQmHxpx7pQVScILvJPeXun5lMdsNKqIycEo+hgMoDNQ00GYgyewXxZXcAeYz9nWg\nNVTMeBHE08wMM44PzD6KO3Y8gBACFsZuQ6y+W5z2QQYUFaidlzrSycyVAkmJvv4/rvmYZYq4pzoF\nnOuVGU63z2SUQIA7cI3LY6UUu1LUC0GLag308Gtgc90mOC0Q1bG7WILJpPX2ssuy/IOsHmVt0O6u\nHK7AgdG8lD0kO8L3mkCJPVsLwF2CHoA8G/ask8yVBMOA+8Na00tGkq5ZPj82HLegWCiAVodlIa4D\nRXwvHtmzI63bQtOA/ovbzeXM1ffQUC19gNzX/Dd7OUOx2Tk6yI06b/RxOi0QcHT82odutd81ocFv\n/NA/sZ913Lo9GaGdB/YAAPYtHsCtYpj2L87h8f27CuSSG3obGtw3+0hxXL7EAPDaZ78YQLmxqXQs\na6TopA6zXHtNd+AxPL2rGTyq3LmYAV+6upEqa65OPvI4C4xYh8L7IdpmG36Wjz9z80n2/OomhRoU\n9LHH/sUyO6eUPqL6RB55n44OIWcvJWCLrlpF1OuL934LH/rGx+2cXexzkOLXUqKt0VTjeEwGmJx/\nblgcI1HFmh8t4sL3vwXb9+3Ei3/nHxfPJiGoTsWj4f3YTZ8HALzs9EsE2a0Cir7HcJDWrKpw8fr5\nPGkwbN4tG9MZEk6HxoMcV86yAE0omUq9fdVZLwAAvPcz/9U2b6eeNrbh8z7KxqXpenke3mFJp4ie\nuUJ5bl870ah+nCs6VZDgaqT7AhJF6cv3XW/vGeu+uDaLzFUzrd/cZM2VvoOamUMQQYtMI2JGGYAF\n8AMNrvL5mGEA8JQYr+Xx5EaMLmLCdT6o0GkOOnADy2SyZqabEBtQypKpe8o6JCuiR5Tsuzt5Lz3t\nOXKRsOy/Zq4O5L33rsceXPL+UnDltMDamQMIcpZsEb1O/ZzTE3NA2jqIUtD2CMKEppAGr8f8eNF+\nr/37jBIlIE99fDrumsmv78uun86z1aukK+I7+ze3fNHmSIOkPnqrBaMFguIeBBRF0MKAGKccKoXM\ngoeuZORMUEHzvQ4ks2JU7ejB7YXHl70xdZ7T+fx3N269Kx+dv/csoftlzHByvy//FvNcap1T6fMM\nROUYE/alXgN8ZrWAV5+zXLsO7C2ObZmr1ps8axPpJgQTx6LdN0oiPGPD2l0FCekjpYADFkx55tjX\nnWcjq0yggYK9BG6lBsE4119q1tLWLBSY0LowzVzRP/DAjX8ftA6E/sYP/9M0b6ZuCtS+QMBTw6xY\nDq4O1SDVR4KrYjFyUwyOMFtUn+lBISQ57noT0kFE7NoHb7HfFRtqNW7bdl/x3wcW563mBQCOXb8p\nG7pShprHrYOgP/5Hvz5xLcW1ys8MLroczAzyy61ZHL0HDcScIufc5AgIYufBEwOLUVdSOxa7EfYt\nzhWS8ZoZVOqKXs+gHYhBLTNXyr/nf0M35OhiJRER5x53epqLymDrZrXYjdA0Db718G34/N3fRE2Z\nVOOi52b6vJfnpsWlGmASHSqMsfy4bzH11Hpwdhv2Lc4Vn2N9BHtj0FBfdec16Vx97zUL/fTMFQt+\ndahCHwNBBtFlltE56anekJkrR9mIrBFF7Kv5KGVYewuIHTF2YwEkwzdiATZKPrjWt7kkbr7PrrNj\nKW2DPxc1VzSEgkJqfw5SJHXd8Bm6+I00A+86DwongivPXHmG2jNyPL5lrpoGbIDJjCrfky72XnPV\nej1YK7TA5fH0HREEFDrbq7Q4fcOqdRPUVM9cOd2JDpmu9z6mVMA0tUDEaIyN/4aMbwAAIABJREFU\ngkKUHbrNazfYR9etWA2qpNJh53r/TmPFYGhZEgaCE5kxaJ+rpY+rNZzst6g9/6ZZ6abRzNXk30eZ\npg0IvQuOwHuWvsxKuaCFZqCjBE4A2RiA769dn9QVAbfpOw/sxn07H0nBZdMUDi2fDaA2vpFsQg5K\n0Xhz1zyXDNyi+UPJkX5s/y7MjxfsflKZQsClJ59v127MDgn0qVJL2897mmmHdu06z30s6fccNctA\n9+cQgMXxCNv37SwCHYJ8RiUsgi4/tjURBvdnz9Z1sSvWAPdvgls1LTCEBh/44p/5M8/vUVkGgSIA\nP279ZmcMyN5O1T0P9iQzGrXfl1Lu6KcGo4gqM4T2QQEapQWqTwaoHLz38OIa1jlxoI+1b2XLENJL\nY4T8jn4RmR0BazJTaxBK0Z2CwRPKBsWHaywHV4do0OHiYiKyzhQzAA8a8kZmKk2ZHqQv5FK0wGlN\nUU3Kecq48Pgz8/fSNehmBgC3b78fd+540GghiZ7lmR4OXs+aXMMFqFNWXsu7Ln2TzcGgabFnfj+a\nkGmBXWcbcT1oCCAGL6FKshk0cp1Vtm2kwao4pWogtKZNnVM1vqVSVYPHDrj4Q18dm8+YRtL6Ncnm\nnD5V0QKhzYBTPQ1roOqpYfCimSkApuak3OgC1REEqwkN9i7sxzUP3Dwx7/w8749z6H+DOEURayR7\nCSCLjUyvuYqImMnSxZvWbCj+pkp9RBNjhBkF56+7AwB4Fi2ZATdYfaSE8BikKpW9RfgMnRaYjuf1\nfXyPNONnAVdwFDVdfzKoNAJpPaZay7qOiutXM1+qxtTLMzRqcV8i01wWdAiYrWJNmtK8piH1AKk3\n5Xuuew1pLapMZkBHcEpRmbkaGyVoOXP19B8xKkLcGuKsa1/rNQBHuB3ZL6XUtf4itaYoWwIArjpa\n1E4agOAULwCGRnOfH3WJFvjOS9/4He9vRRZvMoeyn7Q3TlssaYG8f/1coqQ7HZn987inn7ThWADA\np2//in3Hgqup4ZdQ4MTJN1lsoQmH6jtK27JGxjkrwfPpO9gEVxRNf/eMCZD6/rGGrlDma8rMFYLv\ns/yFUsr4L7MjBlqht43rQ9d8HG1o8KJTLrSMIa9b551Zkx5l2w8TGQolha+cZ8/26dx5cKRBkwN0\nn7v7m/jsXddKEOL204PfsnEvR7HnFsEM62NLdWanmSpgQX+nPDbnZ8/8Pqm5Uhqu9MsCKXswJpJT\n5hwU4bvMfYCBS5onz1xx3ZdzoNT5Uhkw1S97bzVAG5BHe04M4GxdB+lNlr/fhqaYZw0Ey6cKY0Qx\neAOA7ftnJXPngalmFw/3WA6uDtHgoyKlh4ahCd4MkRsK0Z6xChKg7HW0FC1wz3wSETgtK+ABTl2Y\nNkhCeveL3ow3nPfyiePuXdiP+fGCoPyOhDWhMToVv6VKg04ZKDcPKhQW9L9ASuPYXmodD8xuxezc\nHszO7fEg04IgR3u0/wnRmZgzFpTe7ITzzWvitVv6P3iBZzIUkM97wDLTuqRnOnaPy0690OfXUDxv\nuke6S7ptpysoJ5/1N0CJZPI7rz/3ZfY7Zoy0Md7FW86G9iEhsqobHTdw3u9/++pHjJO81JgWjKTj\ntKZUOMEh1zqiWGeueqPL1RvaqB9nlBbWT8PvxZ/V7vl9Ra2QBtVW78brzHOUspnOuy6pnf49YNIQ\nAcDehQPYvvdxhBDwzUzB1VoFzpUGtEQwzdkEKRre9FjnquP7FrxpqNUowms9bF2ExigNDVyK3bNL\nnaH8E0g9A0kDKmLxXgAw5NYQzzxnrF1UClUrzteINVdNI+DScnD1dB1cn13f4ZZt92Dngd1GMWW2\n22uHHeGmA83sSN1vyAKCkOSsu4reno7jPQQH9n6md+Svrr/KPkvVS36OtMA3nX+5fYb1xPWYaZNI\nAmng04Qlagd93HWYaYe47NSLEELAC0+5wD4HwNgd1vMrsp+QAzKnHHm8zYVmg6eNuuYq/VzKYtcZ\nElVNrOne73jBG+x85x57WnrOee9hhp1/HwQHcD5z+1cN0OVnSNlMz0GCxADbZzlvtjbyPuSZq2h7\nCfeivYsHQIo3bd5lp17kc9KIKmuMCaSyAN73aa7VgEk1Y81cqQPPIMQzOy00aLJ1QR8NqmIZC/sN\nTMlcZVGfgGTLPBtVClo03Ouj+zhavzZt3z5y1XrMjxcnhJxIUeQceZmEP5NW/Emu+SaQKVH1uYqx\nsI3sHUkqOWLVBqWpJdqjCSEpVZBrKoSAP/vWpyfeR6/nI2WvzqTRZrvAF59pjLFQ0+VRH5h9FNv3\n7czZNxfSoW/5VIB/y8HVIRraZBDwoj9H9FJGgn03kpxrX3w2bfLjRBNbYlPmRvwvL3+b/W7Hvllc\nevL5+JELr5j4PM+xdsVq/PvXvHvJ66+FAIC06DesWp9/TkvlyPzfrzzz+fI5WM3XsBng5WdcAiA5\nqN9+5HYATitY7EYWaOpY7Ea47qHb8OEb/s6ME502Tcc7TSD/DL9mCixoWhqAGYrEhW8M/SL6V2eu\nqOTYx4gNq9YaBQpILzSRUf43C2tZS+B9rspN34s2fSMDyEsuOcjnH3c6jl2X+pUcGM3bcbuYaDur\nhyuNouKBVFusKeNeMytTBzdC4bI0vnRU13v09TEptsLgj+fVEWPEsB1axrI+v9Vc0fjB1RObEPC3\nt38NgCPtNLIMqknF0LVrTqIoPep1GS0QQpXrvbt8QMAnb/0SZuf2FvOWHCHJOGaqEutOkmCLgyqq\ntsfzWiE8MvIcYRk73lvKSPr7aOsiAIvd2AwJM1eN/OwS8MVUe3BlTrSj2Q28RiEgSH+03rNinZ6z\nVAtkMDcI/g4ulUlfHt/94Wi3Z2uGTRKXSO+QZq4cCTcEHN4fju+rOq7MNLN5uZ5X6cUEoejQ6aBQ\nCmnWRM2PP2IzAGDz2iMLZVodDK6ue+g2sOZo0ml1aiOzBqkR/QhNaPCWi38AQCl2QGVdtkFhkMH9\n4RVnPA9A2k+MhrdU5iq4LdAsCUEmOrM6CMIw+5QCFK+l4vlenAMWqrEyIOTfQ2jwrYdv92uRmkoG\nmkPWXLUu666UNgYPxb4ZAj58w9X43S//RbpeZtryvW5YuRZNCPY8EYLNczpHmc3zbFVv9oF12Brg\n6dBgaXpA7dkeZ7iUtteziSI2hOQDOSOkDK5GEuj2GsxUYKQGNpaJCaEAL8p1khSiF8ejrNgbjRlR\nsFPMF4gSiHKushw+goEEfZ5TUlALyif9GZkrgiwW9BTz5AEQxVicFji2AL+us9Lnoqwegnt8ngDk\nOkotAy8JGecWC5Vv0nu7Ii+P+D7JXIUQTgwhfDaEcEsI4eYQwj/Lv98YQrgyhHBn/vfIJb7/tvyZ\nO0MIb5PfXxJCuDGEcFcI4XfCUhDSIRp8VqT6ka9KpC6/nuYkkv7D/+ZL/uX7rk8pznDwR/P8k861\nn/vYY/PaI/FvXvWOic+95lkvxMtOv+Q7Xj9FGBJSmIORpsFZWeiBi33YDnD9r/w5fusf/HJBtzt9\nU8qknXrUFgsKdJBS9eiexy3oYKAGoFANCvl6RrlfD40bkRG+0An5jJa5Uq55GVz5ps20syP/kxQq\n30BUoQd2bHeWo9WPaXbNviPXwE2Lc9H13hiY68DuP6ReJZyTr953QxKGMD5zbwaxlYCqaZyCauuv\noQRvmNi433flf/f7ynPHnkd1XRlVm2j8ObQmAUiB7UVbzvb5yUEHNzkdWofV2bP1bE8TGuxbOODP\nRJB1BlrcmGOCVKeik7wHvR+dD8tcmTOgVxlsLoyHLqgcs2bc5Nn/hsGROSH5vjQ7bDVsNLLi2Fp/\nNQ2uEPCFe67D1Xde4+h1l+Xi7Xtt5v/Xfa7STTnNximrKgut6Dmv3/uxOFVzghbIIIy1Os+w4OqZ\nYqcAFA7ZD5z9QgBlPQnpVwAVuRwB9/pSX7cxZxiIpHNt1rVOEWpnRPgnTjrClgFBoiQDpSw5JcKn\njZks733VHV+X2qryMyFfH++96zvMtAMsFgGL08nGfRIUWuhGTgvMQQb3Fs0Eey3Q9MfpdZxlk3nr\nGxV9Ljm87i3NL8EpHiedz8/hz1kELcIk7dzpay5kYO93KIEXvtkGTnJt5KBv3HfYu3Agz41T0p57\nwrNx3nFnJOCUQdRS2XVbS84iGfcdZgYDqzPmNdVAn7JlSlqgNuEt6XnFM7IMT34mOfhgcEeHXtf1\nsBk4+IQyI8p9k0P7ZiYgzW3zUkJEVA6emrmKpJKXdZMKGNZ1y0WA1NR9rijP72wLrwssr9+yenDb\nr8An8npgXzi9tbnRgoERrN9L0+9rnOcEPPOVrtHbQKS1mtuBhGDNtDmoTu19r76/aq7GAP55jPEc\nAJcC+PkQwjkA/hWAq2OMZwK4Ov93MUIIGwG8F8ALADwfwHvFuH0QwDsBnJn//zWH8ybqmivtN9Bn\nzy+EgLseexD3z241hN0dwGojXQLxsr8Xm8rSn33tsy/D77zxPUv+/Tm5Ua0bT6cLhRBwwoajASTK\nUD2Um85eOUk626/nguPOtGu8fft9+Bd/8wF89KbP4eo7rsGrz750+kVldGtxPDIne9fcXsyNFtDK\npkJjE7Njy8HUuF1nIWjB+pFSja6mX3igNCjq3GI2Jqy1QSylS1OxfzuxcW/d+5jNC1ElrplRVizk\nuPKOrxeZON7TzGBo2Q5S4/hvysRM1lxZpk6eCjdHyi0DcEejKVPv+RseDAiqBMCUsxgodrHH2ZtP\nzt9in6YlaIHdOGVz4U4FnbkkI9xg9/w+uy5meG/ffh8+fMPVgrKlGjZzDOXdm5a5Sga/KYw5eed1\nVpW/488MqAGveaPB0/43dMhoZGmUmVUdiKF3pDZmOlSWxhYEEChRcGYHCkELESiY5kABZS8uBUcA\nYN/inDtMlVEG6FBllNTUxFTQorXM5zMstgKeIXYKyOh+3u+NQlfQwluMq/dG+zaF4P0D9X11WqDQ\n2+W8pAV2FUgyjcmgjW651oqg5yDIM3sntU0rzuUk2EBHk9mdlGEvgS7WB3d9h5WDGXNyuxz40cEE\n/B1r87sALG2ZlXrPAJP3rPVr0x1zb8rr2Z5gx+NQERAGqOmeymuhX0JbCzjbg/bAs3QZKITvjQbE\nhAZvvuCVuPzM5yFCs98NNq090uz5UjL1WnNFJ5r7WcosDguqadpzyiBW29iEEPAvLn9bUg8GDLhS\nCh1imf0igGTNhivQgD/rBmvZ+xByzZWIVPRlOwKlnntfT6kNRMCvXfEzxTMftC1u236f1VwVcwQH\nB9j7lGBHWXNFpk5f2CwyLzgHffFs40TNlaqCMtipafKqYul1wOU7/qV7v4VNa46w5+Q1iBXAkN8B\ntVdcvzH/B/unBgDXPugq2gCywJQDQcnf+D7JXMUYt8YYr8s/7wVwK4AtAP4BgD/KH/sjAG+Y8vUf\nAHBljHFnjHEWwJUAXhNCOA7A+hjj12J6yn+8xPcP3X3kf7UjNRcE0T19iak85MamDKiWogVOG3+f\nz9bDUMGgiLYLWvCF2LFvdvK74pwdvXYjrv+VPwdQbppvPP8Vdiwd1z18G2569O7idz//4n+IF5x0\nHkgdWOxG5kQCCe3wl7tE4QeCZP7m5/60ylzl62wa2zToNE5TZvRCa1fJ46CxCMHT0kSeYmUQYiwd\nYs0ejLvOa66qzBUAPLZ/F/bmrA3gRZmmoEWjaWIMjW12ALBt304zDu4Ulal2Hcx+sYeIPhsGcwwM\nyrq7hCa6Mo9SBNPmyD5XNWWQQghE+DzD0+eieAUbSoGIdF2lIWAdEQ2BZh3rmqu28eMr3aSmKFlh\nLxxVs5opqY9Afj7jfmyIq1MoXc1QZeLdYAlVpNGAL63B15/7MgzbQREwMaBS4wzA6Dz879OPOgEn\nbTjW7olZRIIA+tl0j8GeMYNQRcc9iPM+OHyHBqFxGflnWHT1TLFTgNN3SDUGvJbCqbWlWqDRauC1\nh3TMAKeskTKVsqpVFih6RleLzGuaFa9nnFFnbaXBMeqXVqVkwLjYjcwhri2kZWuQ1vyo6zK9KAUA\nF2W5bwJXfeyxYjiD+fGiOLEJCef+MBB7aBmfpTJXEhTZPhC8mS+AnCHy7zh1LNP3ehe+un92a3H8\nH7vo1Xj+SedZdMdj7tg3i0/e+qXis9c9dJvJw1twNW1vIKAIp44xk0Qg5pSNx+P49ZvN32E7h7Zp\nLCs4VWVY5sol/p2JMO47rMitSHQ/qvtc6b4TELBl/WacfORxFiQAWTBJaO4BAecfd0a+Bl/fJfXN\ns4yofDUV9WEmUxkL+hC1tYtluQC0TcCoT3WFR2agmvdIAOv+2a3l+0IANdsaZtCsxoi1s9mmMfCp\nxTCY0QG8tknZO8xmFtS86HLwjHZI49S6YmtdELtqHtoiyD5i5Rp7ZqYinNeaZwDT0Lpw+oEjoYvq\nYI0/6/P5XJ4K+/RdD650hBBOAXAxgK8DOCbGyB3jUQDHTPnKFgDa8OKh/Lst+ef694dtxFhmrvro\nFCqi0rqVeBPH9KDpAFvvqPDEHw0X6ZMZG1cnat7+xTnrQUVahaappy1FrblaaqzO6oKT6e4wEXBx\nTqh+5LUl+bvRldVY6EwUVJst7l+cK16eVoyz8rrbhsqMNWrqdJda/pyoivHP8/2TPlDWXJUUM87B\noGmzwl66xlT7FIzWec4xp1l/Mjtv3jyVHkmFJ2+87FmWNtdDEK2jkw+UgQYH1y0bF191x9f93ChF\nJBoEvOiUC+1eFL1i4Mu5Il1uPCW4Yk0Gs35t0wDRC2NDbZTy+S879SJcePyZhp4pF96EN+RnIL2f\nP3rhFbh4y9lmbIymaSifz9+PX+wJBO31wvtK89hZEBQBU3OkM6p1DBGSuZJ9oTZYtlaNXuEOGBDw\nunNeijM2nVjQ8BTBHVR0qT/9if+AP3/r/y1OU34WUjdVBrHSRFgUApFngOjnRJ8rsM7GhRCeqeN7\n2U5xaJ0RoD0DPYMCZOoNkfACxJnWBsIpUzy+Gj2lZnmGvy9qgjjqlgqAZ1Fed85L8cPnvGTJe2NN\n7ItPudDWdp0ZU/oRGRAzrN1oGmNirBjMICDd+4rBDOZHC/aekx5Xr/Ubtt65ZHbG598zTQ7euNjV\ntMwVKfFl1jrNCd87/vevXvHTOGbdRgNF9R1nTyQOUq+ZlQRQAKwAbK/lemCJA/dSy46ATq/b6iR0\n4YErafoTmSvZw5yimp4NMzN6z4D0uQr+jL3JcEnx5z7JbEpvzxB4/bkvwwlHHO1BESLYPDsCdj8E\nG0IIJirm1xVydk/6gFXZWx7DM1sp+AposDgeYTgYTIB7fEfH3RjKdnAwxN/lcd/Z/qyBOkEEq2OT\nzBzB5hTYeA9QCyolK20Mknw8UuKB5FcMggPLAPuGsmekPOvQFvTOS048ByduOMau0TKmPL9kmbU5\nMBkjZMFoRvuYdRtNuVJtPKrPHa7xtAmuQghrAXwYwC/GGPfo3yJh38Nz3neFEK4NIVy7Y8fBldQO\nNrSAL/3bmeOkqeTj1m0CoM03nd8KeLCzVDbq7KNPmfjdxbnG5cmMn33RjwAArr7zGkQkhGhlDq7u\nefxh+9zuub0T37WUfGW4CnnV/HLXfURCCHj7819XHi+wfkNoCcEJbX3ORsScvWGwEWO0II5DX55W\nJKeVMkD0ryZveBq8n6AF0jG2oDMmbnm52bkUe0HlqjJXdPz/+NpPYHE8MonzW7bdY+grh0qxMyuj\nPVdocC24snS/C3jYPcTJ4IoB11wOrvRlo8NFp6gJAV+573q7l0LQondKJjMvw9znqt7QVD6VAaCh\nYqHk0xMl72PE6uFKrJlZbUZeDXqJoDvFsYs9Nq4+AsN2YDQIp8Ck2j2VH//ErV+08/7kJT9k16FC\nAAxsYnGfYzMInRqE/Jkuem2Vctw54Za5qgIu1kRwfyC/32iBEuzoWls9sxJrZlbZfkJlJc1a1PV+\nvRhnZhbT31hHoE2EB1ZzpSpzT4Xx+m6M73U75fUeTiVK/y3COAIM9HkfNIQ7A0mkABE4LFoP2FpI\n+9J/ftO/xGWnXuTZqkgBmBSQjfu+yIYD5b7Cd4I06f/w2p/DL73sJ5a8x5l8T//w4lcXGSIdRgEO\nLmw0nFJztXIwk+1EL7TA9A7tmtubKUZeAwIA2/fNLmkbOQzYCb5nB7gKY29LSdkurvxW11wFeUen\nDb3/F2UlRI5TNh7v1wXPHgEonFz+S9BQ68eZgWEAVswxUkBFsZClZOp9P1ZF0xQETduvQgBuzgwL\n3adOPPJYuxsH5dJMekPq1vZf+mDa0NdqjEIQm9TY7wM88Bw0ZZ+rPrK2JxggUTzDnH30oDTd0/x4\nEcPcNFjnhHvtzGAIypy7z0gKeoeZ3N8tMW4GmRkl/g5Yf1f1VutJG4QF90XdWWgK+0q6oGUY4aUI\nru7INjOdlUmEEPDeV7/L1pfWxr389EvwN+/4wERAakAl5yzvPQDLDiS4QsAx6zba3A2a9D5b3bCA\n9d83wVUIYYhksP5njPEj+dfbMm0C+d/tU776MACFYU7Iv3s4/1z/fmLEGH8vxvjcGONzN2/e/KTv\ngQuMtBhL30qH8YCAC7ckuoE3RnQEI2QEA1g6uDp5w7ETv6tRvyc6fvP1v4yjcu+h9SvXpILd8SJm\nWu8TwvHtR+6Y+P53QucAv4/F7LRzvOflb8Wq4Yrys41LS0+jJSh1y+kryQCvy/LvHPNyPqdKSbaC\n6OoStMCo56gyV/x8tM05b5RImQmq+mU80r5LY8LAWoOcj9/yhcIy1sHV/sU5z4hFUQGUeiGjqCGZ\nZUOho6NqwPSsAp2pA4tzdm8+yrkuaIFti+17H0cfs/PRjSSL5U1/WXOl90XhFhqKNjTYkftTNCEU\naobcdFn/RcNCdNJoC400GM5OCAObGcsslQEyjZP2kWFAHgKwajhj9xPsOlBSLOy5putivw9SVxjw\nWeYxOAKoSLX1mGu88J8AjQeiHkzrHsK1xfnSobTBru8tMOcz5GDNlRldObbVp8h3+WxDyLRAe2bP\nvODqmWKnkiNVZq5aCfYpaOGZKVUL9FqSQs46O1qkTLnynqtzkW3A99HUAjPirUMDCIpX7FuYe0L3\nOMx7TFMAA5PBlWVcAxXyhkZFt/mKsDXP4Er3vxACVuZMGbfMQdMWTu20oWIynu3zzALyvIcA/NoV\nP52u2YKYyZor7td1wEIw9mBMGF5/Xd8FAHfsuL+4V8ABoRBK0YSamk7FuRASwDnquqLB8rSAFwBm\nBjOgGuNMO8Q4dgYups954Mo2GRDbrgAT9zFmrubHi9ixf7bKDjp7gd9T4CsFlGQgMLh00ZJhOxAW\nhdDwJCiwe8yBTYBn0chCWBwnsRRVJ141XIGHdm0DAKxoh0U2yWnluTyi7/H5u78pvpGCqsIQ0VKU\n4GuKgYva5JJZgfKdD7mNCj+D3kBFlkuM+zGGEkwreKh1h74GHOA0imXwxsK8BwBGSSQtEyHgdee+\n1I718O7tuGPHA2aDTdACk9nmwzG+68FVSE//DwDcGmP8LfnTxwC8Lf/8NgAfnfL1zwB4dQjhyJAK\nhF8N4DOZprEnhHBpPv5bl/j+IRvc3EwtMFItsFRX4VJn9oKOkSPQB9+Ule72m6//pYN+dqlx5qak\nAPjiUy+0jWjdijWYGQwxN1ow5O87Rfea1l1q8G+LXcmRP+vok1EfXjcb3SCNpth1XlMTS1GA+Sp4\nq48LpA1p54Hddlyf95qe2JpTQUVCDqrKmUMPV9fRgIxqgcXGys2/pXreZAaJY+2KlMU6cUNiGX3o\nGx+XoM2LwV0xzqVWOXo4H74JDd5yUZK95XnZYBqA9Vz7w6/zNfF79iCzKzJCQEKHZuf2YvbAXqye\nWYX50YIEeGk+KMTBQmKAGaCcucpo3675vVgYjyzjVtDVgtdqeB0jpdjdeWtzvRw3f27MRLioWqhI\npwtaCMLYTIIcf3H9VaDKJ41XWge9F9bm47u8cUYEs0Gyrve2jkUMAEILJDUFikq78daaK4QgztpS\nqHDOXLXsH+S9bFRZMNFdSwUwR+G9HkEDs3HXZfVNbSKMZ9R4ptgppwDlbHhTZgOYKbJsUn6vvP9i\nEjf60j3f9jUqmSs6RsMm9R3kmo2ZZjUIXme1YjCD27ffh9RjaRIgHLSp7nYpwGCpQSfcaEAAanaC\nBwas+UxqgWPJBgEi/hH7RAscjyZqo//wLf8On3jHBwrb/J0ELZSuaIX2QQQHxLZQwTUxO5INbJvG\nanQA739Z+wKs3znYzDG4apvG5O25F27bu9PmISBg99w+qOiBid/ERAGdHy3g6juusXtkFofPsoHa\n9lpkxB1vMh34THS/crAn4J++5Mft/pxWKA2TJVDiLHzy1i+XwgxgVqcTW677NG25SNEH93+sgXPw\nAEYZGUXQGuogztcglShfetpz8F9/5FfTsxnOmKgTg1UgYuVghQGZtAMP7HrUzsMGxe6j+fNQkY7W\ngsHqeioqYAJrS4XQIKAmqXuDMEkvdjvj78WgHYiv62sgBM38wXwG0hXr4EppgdP2h/d8/LctW+U1\no6F4Vw/X+K4HVwBeDOCnAFweQvh2/v/XAvgNAK8KIdwJ4Ir83wghPDeE8PsAEGPcCeDXAXwj///7\n8u8A4OcA/D6AuwDcDeBTh/MmLLgyQYuyP4ihA+LQMcFs1C35e+3wc7zolAtxak7jX3HWC0xE4u8z\nKJU+aFrbGGYGQ8y0KbgaCFXkYMOocQdZqPyMKt/x3DW6zSLoFFy50edmuXXvYzZvXfSmun3sLaid\nNmwzRsCc8bGDUWN4jZeefH6+77JhrVIa6UgsdiM8sntHhdKJEhG8D5PMht9n74IWHN+W3iOkCJ53\n7On2u2Eu6CXPuuvTHIxzPws67LxOrj9mpV5y+sU479jTLfNyrhybvzsy084U2bGait5rAzn4bLS5\npnOw03mHWfQiRld1JFXQaTm9BeDaf4ZDpXOZvaS5dCpKptv13tpAVQ7CwC88AAAgAElEQVSdnpgz\nSpJJZC+w9CwloJEt8vH9uxHAPk+DLKNLZNNVi6IZvDKjSOfT6cI5uyh/ZxbJkdVegpsA1vpBM1dw\n0ZeaFshBR4YCJFSa5P1y0GFSBNGeQ/D6FFcLbC3Aa5pnrqAFnkF2yrJP0TNXD+7abmu2yFxlJ4xO\nU0DA7Tvux479s5gfL5iDY7LqSGtoZjDI73OCT4xmlUGhLvZG5X5w17YioOFIdTrjJ8SQ0MHmws/Z\n8ixwz53IkhhKn7N4ndMCJ7NcaV5Yc1X+PVGRTthwjFH+N63ZINmZ6XZc6YoEe0IoaYEEUSzoIOAR\n0pzOjRbQNOlavpxp2vVQBb4Tjjh66t9Zo7bUtepIzzTvPwjGnmAQ8Ttf/HPs2D+bZ8aplylzNULT\nNF5zVV9L/v3X7r/RxEzYQ6rIXNla8XYuqQ66ApiYubJgxs+l9FTzBYyiR+qbZqt8n+Y79DO5cbPS\nFTXbMk3QwurQCIaKyMJCpgW2TYNLTnh2vi/3wVijGGPEquEKzGUgk4wffaYGHsh7pcAY7bHPj9AY\n4ZLyWvMbgRIIDPqzN3hWP0iBOAUBm9AIO6QE9wrpeLNF3vLGxbOSj8P+ktNAfrJETBQj+H50uMfS\nzSKeohFj/BKWBlZeOeXz1wJ4h/z3HwL4wyU+d94huszvOGqHko5R4QgGwBxsQeOc/w18+Iar7ffT\nxpsuuBxvuuDyQ3LNWhuVUKIh5kcLtsne8/hDS321GNMEEuox6sb4q7f9J/zIHyVZeBpjHcwkJUGL\npXnZTivxzWbD6nXF545ctR6zc3vsXIDXwfA4pIZYBkOQsx4UyhgUGSZFQ5NiVdnnymuuvEiZw2gL\nSwg83Cs1bidl3rgGuF3f4eHd2zFoKDHc5foIR2S4Dg1RCi7JSnWfaGu1L44NAM8++lTcuPWu4tnE\nHLSY0l1ocPbRp+D27fcVqDK58rxj9vBw6XkXHlk1XIH58YIFDH3ssWHlWgBe16YBOREryyaKYVRE\nkYgkVYYs44WEglLsom1afP2Bm2wtaP+ygICd+5nh9N5fpCSO+3Gm1zkts4+5n1eRWfQG1UQBtY6K\nNS6aBdUMlDUZDiXCpzRQZl75vbvzO3uwzBWpNIMp7xgzY3S0Cf4AyE0aSQukEMLA+P6D4FLszzRB\ni2eKnQIcYdeaK75LKudvtitmYYEKhR/k+hC+1yMDoUKyJeNFlHRk723VR6+THXUpE3z8+k14ZM9j\ncvwWi/lv6ahPLLg6ccMxOH79Jhyxaq0AJjXYEGR9B4xjh5ksxa5CS3SklRY4bU8HvL9W27SS2Z3u\nYpmgRSMgBlTYJ9ozcQVRD3p//+t/jT3z+y2gW2oMLKsCPLQ7MVb1zTx67Ua57oMEVxE4cvU6UCiJ\nVDY6v7xWHUbnArOQ45xxnx548vketeYI3D+7NQdUw1SfLFRkZg5DDuKBJDwymbnSmisHOo9dd5T7\nEULns9IM2hqU9UaWqcnPjz1A9XwBKcNDZoSq3AH+vPnzmMBUDq54P03jATXHC08+H5+969rEBmm9\nFnyQBSNWDIZYGI9MFVkDUr0v1i9rsEQaHjPWet9Tf7bn7Sq9fd9jZjgUkbGBtSvhcGaGsLR0fkLK\nIvMdJMDQ96k3aYC0VwEVnV2Kfe1MWR6S7t3Bbz6X75fM1TNi8GFpsfsE2hEaMzQq2+oqec2S6f3D\nca06ur43WuDgYJvslHEwehvHwngRZ272soOQESEdLvLhmat6HlzQgrTAlE2pFZC0Dk3nmnVeRKg0\nuGrEiBGRGbaTaoE0CnfseEDQRRctGLbe5FaHiwok+lRXzZsGEz/4rBdPzCH/Tud8HL1nRSBaZSlz\nCYr63pycPmf9ABTn50ZNemVR81VlYJsQ8G9f9c48V17wrAEDj2nrO0vEcrO35xC8noqNqGOeU20y\nTWefUvfKo9fA1q9TeO9977Vwmcs/jXLoxr7821G5HwefoaN/XfF+a+ZK6yi5mfext8yjZqusF170\nterqa704e04x5L0ZJTTfDyX0J9F3D+w5pmW56BC50ye0QJ6zUgskash9LC2ZZ1Zw9UwZno1MjpSi\n7lRPTZT1ceHke58rP9YDux41sGDNitW5gWd6t6576Dbc8/hDuPrOa/D4/t342v03FseJsceaYcrO\n235WgXTFdfw9xhGr1uJT7/rP+b6mZ0n8nfcMwjR6EfeiPvZYOZypqIbTo+0YXddkqXpopcCpU89a\nNr77KmiwarDCMuz0E7bufWzq8Tn83S1rlzmedcwpOCv3JdS+h/XYsX/W5szqlIILEdXzAv4938OV\nt38Nn77tKwhBBC2mBGNAyjyyjmZGaMxcq39x/ZX2HdJaZwZDexZDqSEtaq4Q8JJTL8a6FWu8brew\n39403TOHpQw5ATIGROl8dQCT1DOMkST3aS0NBPjjXC6MR+b3uFiG38sFx59l9lWVablXMwPZhiaJ\nHcXOm1lLsGf9H/O9e0sCB+5C/mxZcyUgK+8lRldxFlZJn30PlnKka5B137RT10GQNaXB4DhLudP+\nAUh7E2iDUs1VLWyWzusqg8Hoj8vB1ffMcFogkVtf+Hw5U0LSqUgA7CVMQYUf74mk6P93r1VHEwJW\ntEPMjeannvunRDGtHtMyV2zkaJ+pAon50eJEUJbmIam7DESEov6MbXxNY6ii8uCPWn1EYZDVwL7q\n7BcAYIEqncFMb8zzoipYNS2Q5wWA//aVDxsixo2A3HA1Qhz27M1glM9Bz8MNRz9z7jGn21ymjWts\n1EbW4BgqFoIZB1fJEeOA0sjSsVkwtUCtufIUPwO5ac/XP+PBFQPlVJQcjfq30sRMykLb9L1kfG56\n9K7iGSq1SEViLDMENQSkDKbvJanlIXbsmzUDwkFUXmV9r3z37xbPQa8j1VwNzAgwM20NeiFIvyKh\nEWYctbm4IoNac8WgrZHghlk+8uI5x3VxcP3e0LmiMwK4ImeBHMINmqsF+vtzz86H8dj+2bLmKvdp\nUyl2PMMyV8+Ukd4Lb6auwgsBTVYLa43ySkeJTmEdTkTkBudSbxhCwDUP3GyfeTAX5JPOzP2bAMvt\nO+5HGxqszMIxHF5zldZp3cj+Hz3nO/dbvvkgYAPloRMtMAlnMENRfjbZiRVThB+mg6C+zy0dXDH7\nIoICwWuYtJSA79/K4czUGuGDjantFuTn973mZ/HuF70ZAHDLtnutZGD6NTsNjHTKGvzRMWxZd+dZ\nMxUyWApADgim9JYC3lLdVAezbjPtEEp95vGbpsENW+9M6z6UdXwGwsFLM2DOt6vWOisiZe2QbQvv\nQ+sWjRYIp7A1CPiFy34Mm9ccWe2rpWLlYq654rV//Z/98WRgFllvzmbwXJ891q1YY89J5cvT8TzQ\nNNsCgP1N+f6z4fYEFRAOslANOASUAGFfsokopqUgHoF7Nviu1wGz5xbw9pIZhd8DAAvsCGouxfYy\nAEXoj08FLXA5uDpEg4/KlMT6vnQEsxPFjXmCFlhRLg5n5mraCCEVVN43u3VqrdX63ORt2qDspo7T\njyozSerIA6nXRr283SGFKcxMik1wg+lzEX0pSXvsuqPw+IHdeHTv4/YdPQZ/puSo1tpc99Bt6RzF\nJlZlrvJ5/d6dX83ARSXTp9ICm7KJsM/RtAzgZF1a+tf7WGjtEgMbbo6kkhAJ0uDqXkEq+XyYHfvL\n668qrkAzQm1oJgydb7zRNl/Sgpg962NvgiIzFdpHRI3XooW/vB+VZib9jt+nitVA3rcQGvtsHyPW\nr1yLvQsHsgMo9Vx0cOjwIJih0nfyPa94qwWt7FVmFIPoaCINnjpNDJ6sv4iggfpz0UQYLoqTrkVR\nN2/oq3UZnnWunEkL7CczugXnPTgt0BHWUHxuz/x+y4BxLSMEDEJrzV2XQ6un52DWlrUNXDcz7cBQ\nbO//J2u0qPeR40VpCCyAEulNgEiVF5nlvliLbdPil1/2k8Wxd+ybxUO7tx/EafrO7svtWe2uphRy\nz+H67mKP4cCd5GK+mpBblEyq6E6jKkbJQOs9Ai5QNJm5Ah6YfRRzowVz4ousNlIAkUSwGnzgDb9S\nHJc9l+qxe27fxHVevOVZ9vP6lWvcJsZoAeS0wWCgCNBjL+BP+Xmnhpb7yxMRKBm2id0xk9tbdH1X\nAEMASxkGdq69Cymbp2JEDXhvybGeHy/i/tmtFgywXKMGk5h9ZObK2QZOF5zIXCEAwSm2ITQY5yzX\nvoUDrlIoGRRSbWtxDAATYANZBcaSyEDeIPsx7JFKmfMSRAx4fP8u8xloS1WBMgSYP2T0xSgNiyUz\nhZha0JCR4Q2wNcvVZil2nx+1U1575+uAteYh+8p9fv8smwVX6SVFEwAe2fOYHeefv/yn8JG3vx+v\nOON5OPfY0y0T50Hk90nN1TNl0IAwc0XqA19I47XmdWSFfblHUqJj+ONopmzah2q884VvSt3b8/jl\nl/0kLjj+TLz9z95bXJuOgwV7NZ0DmORv61r+tSt+Bm3T4KLjz8Ibz38Fbtx6F+567EGhRwbhik+i\nYTGjqdzg2C8MKDfsX7viZ/Afr/qDqddu6WZBAlcNV+DAaB5BNlFmKPR7RoWzjKTSAr0XV+1hFsFV\nrrk6e/PJ5gDU2b10vogjVq7F7vl9+OhNn0uNk8e9ZS2YLVIkLJ2rsWtl7ZNdY74fFdDguaepLrJg\nnVmpgraZ1+n+xTnbtGnQ/vL6qxCQaCDjblxk5lRNy1BDCRhoSDh8s8eU7JRkrhrSBwXpyoZkzcxK\nrBquNERSr4X3xWH1SLJ0jlp9hBuHtsXC4siO00VKzo8LY8N55xoiRYXPJQWunv0q1AJ7p6boXPP6\nLdMb3Dj/1CU/hH/z6Q9OODomGyx7zHDKPRoVw4zuZM0X4M6jNtBsczaV17g8nn6DYiikoPGZjrIK\n3Th2VsNBJ59BP9eDDmZfrbcffH9YwGji3KT00lnlGDQNLt5y3sSx+4Mg0j9+8Wtw0pTWJNPGtMwV\nwQOi5aRCP7Lb+4gl2pHX9fC7Sx33va9+F55zwrNwTM4A1QHBf3rdL+LenQ87CNYktdGAgPtnUy9q\nb8NA2laurWlaLGRRCAoPcbzvNe/G1j2TFEHWlR5sLuxeq+B5yxFH4+Hd3lnAHOucumkQyuwIAt58\nweX48A1/Z/N1YHG+oGqlzFVJB3vnpW8sZfYD6+1Gtr8Ak4Hq7NweeTbOpFDbpPtzCAFfve+G4l5i\nZJ/KUIBJFEtQAYdUc5Vp2fB9saAFouxd1fc9QjPAh77xcT8vPKBydgNBjpIRAgAfeON7sH7FGhOY\n6TMtkM2faT9reuK474u5vurOa+zzKj7DvTrk7E4StJgiIBUFeIYzfGi3lA5PtktRMxnEvknmSt+n\n2QN75HehoCWmgLQx+0TA8tO3faVYT299bmJZvfS0i/HFe7+FB2Yftevic3kqrNNy5uoQDfoSDDS8\nGJ0vKtGBKYo22dEKIZhi3eGkBV685eyige/bnvfDRSNi0jg4ztx0Ep5/0rlLHq9uEAxMOldEmE7a\ncCwuyr2+Nqxah3/3A/+HGZo2F8SHECYkgjnYOFgVebRuSpE3XvM049xJcMWXck2WPy8CpdwXiIO0\nOL1PRUZSbU9bZFY4tO6FtEBV86kzWfU8LuQmjDyWZXg0jW5z2djG1MXOaT+xnxrE8R4XpgVXgkwT\nDeNGvnntkQCAv7nli7hzx/1grQCQiqWbjFR2sS+yl4ZahRQyKNWNmUi9zkKZqMhOsRA8Wt2XNhHW\nmiuioDzXWy5O0vR1YS0NSrp3nwftbaIqeUTC0nP1YuUuB/0NslQxYFk0FhV7rVfOvGmfK6NilPQJ\nqw1okjpfA7+uZx9zKoCyATjXC1A1+KZak2bMIYIWGe2d1hBVmwizgWObjSmAgyLgy+O7N9I7k6lE\n0YGlHftmDdBgsO+F77FwBOvjcZ+kfHYSJCrFkoDcGsIyXH21NzbmhHMN21giGDhhw9H4sYtf/YTu\nexq9fCyZCgp5AEpZTqP+ff2+6HjTBZfjlI3HS01p+fdnH3MqXvvsy4SB4MIaHA4e9dA62gF7h8Gz\nPxznH3cGXn32pRP3zbrVaZS6eqgY0bTvMFhwKjxpgcH+zvotINn8udF8ca2krwM+d79w2Y/hX73y\n7cW5uK8UbJ8pPhFpgXqtSkPj/FPwQD9jmdYicyW0QEQ00HpeFbfwfbHsqxWK/VkBDN5DErtK85ck\nxsPU/Znj5adfguec8KyJzBXzNjWt3ey+0n6Le89iRQyGItX5coaoEVpgrG1vOQdkqmjmyjJ92Uaq\n4AdZLUXNlV5d/lFByWDX2OTsmlMbGSBPHcH7ktI30gD4cI/l4OoQDS4aBhqKUBsKEgI+etPnACgy\n7vz3gIB3XvpG+/13ayx2o0JM4K/e/v/iwuPPWvLzRKt1qIHacsTReEEOGj/+jv+v2IAB4HknnoPT\njzoB7N2hRby18UqbSppvouXaTPG8Y8+wz3ogkv69dft99jemmZWr+8Dso3bO3jaN1lLf/J5u8hbk\nQeu0tOZq0hBTOrTkqwPPPuYUAMArznie/e4zt3/V1kIr89KE5FgPsgIes3jOhw5mEKzpbChpgToY\n+CyMHW3+s+s+DaCm86QNmUZg/co1OIIqf/nYDBKPWbcxP6PkeGmQqmhnEMfNqW6N9WNL9+OqfCZo\nEd1I8RkxkOvpRDZeC+dS9mmjNv53KJFU3at1rrhJA5Q07wwJc8qUB0Re0wETwbD5nIYGRpdiV8S0\noNWglPpNghaTKOqOfbPF851mvJsqaOPnaGD73s+jxwB8/2IWlutv1I3xq6/8aTznBKceLY+nzyDo\nEOQ5czTmIEn2NMbi/a/3Y83W87NNCEULCSqfes2V7yMvOe3idC5xwD/45n9dnOPQsDgmaYFFnyvJ\nXO1f9CwKgSUA02mB3+HSptEG9RhWT6IOePP/t3fmYXJVZf7/vvdWVXe6k07S2TeykpBAQkjCvkPC\nvsq+hkVQwB8gwrggozPKKCqMogzuIuoYUVyRkXEUN1QgLBFkDRAgCSQhZO/0UlXn98c57znn3rpV\nXdVd1Uv6/TxPnlRX3bpb3XvPebfvG9oICT9bABPNMWpwnbVJYa455GwA+r7n3knFeGfH5kiq+IIJ\ne0RqsDia7VLpommB8XOcSaXRYtIcpzVPsMddrIkwo43z0DSZd+c4yeGcJPzgnxs+z37aOS9jHXSe\nccPPO2tcsTFhxliO5AK+RL7e3totG+y4y063XOyeeW7dazYK44wH7/kdFDeC/Ubf6dgxZpVzEvP4\nEEl1jzkyFFyNsj3r5j6wz4fYObDp4tZ56WTqucaLzyU7K3ynhX+Rh+QUbv19c051V8bAhqKfieKn\nJ8abS9vzAjcu2zRgs72eSKwQ46pK8G/FhkbWG0B0VVLMUxfzVPFNxrVNvWlc1aXSmNI8LmJglSKp\nVmiC11PjwSvuxHWHnVf0+x9bfBl+eukXEAYh2rIdaEjXJSqZAXqQ8AdnP3K14sZlOH72QXbZeMGk\nr4akVB5Prn4e//fyY4gXMPMkmR/ITpbaTU7seuDSPflhZPtIoDDlCgB+9c8/4mt/vT8y4QaAM+Zp\nReeGTNRzyoZPGAR2HQ+98Dds2L7JDRjkp23wwOWiPDa6ZrxKQLTPlU1r9QzlP7zyhDlG5x3jQcb/\nfbjJIa8nZ9avB0dtxCx/87mIslW0kD4uL64jISfMPiSyfC7isHBFtUSeGAmnPChlo0ZsXGVS2iDK\n5XXzRDc4xicH7skbNQid11V76vP2Ab5xxxaEFGBbW4vXWJMnsk7uNiTT/DPgVgTRSJxdP7l04njk\nynpOKUBHrkN7AWOTjLgBzT1g/Ost7aXPcA8cIoKC80SS91shYRBkVS/yUnn8CbvQt3ApTSwEFDOu\nvFSiwPNC7+xo0/d5fFhS+lmaMm0IWNr6fQeeYRfh+5h7zXGfK45qA+66fOKGHxSkvJUTdemMjTs2\nR/62Dk0i/OW1p/HMWysxpK5QxllB2RT1pH5Qne1bXITDbd85/ngCzimOOjrgBC3YWWXvLyIbGesM\n/34/cMo8PHHDD4ouG/9pbznmvXjwii+7fUaAZ99+Bfc8/itwLWlUNCG6hrowg50drQiDEJ849kp9\nbJRcaxOHG5L7tU3vxH7D6Dbdut40zXQ5SgHAOKH8NNTCdh68Hh5HbZ0VWPzBOS/ZscuvAZgGzOTd\nY66W9wzTPsd31PpO9VKRK3uscLXGvurrijUv6cgzXGaDdZQkRK74vPiRaP2/M8je2voOHnz+L5Fz\nAM/JwoJg7FAN7Rjn0hS55Yzf1JlH1qb6xkRhE74Hub7Kpai7qJMfIeP5VvwY9d/klW0YIQzzWyfp\nBFQbGQWrhB/ZAIAX16/yLkZlb2ImLrLA3l97gySKG/QMeaVw95kfwwPv/WJZyyelmX188eX40zXf\nrGi7/gPGqQVGL9FMmEHOU6Xa1rYD77Zsscv5E/1hgwZH1hvfZ85Hj38aEGFbW4stHvZ7U/iSs3YS\n76VI+MWgxSJX29t3Ykur7nSf9nKseVIa711iJdi9dXA39hQ5LyB7Z3hbkXod8iJXXuoqwxHXDs+4\namlvtcfJD9gN2zfBTwuMh+TzeTcpcLLGep+fX/eaVfhioXp+8PkpaB1GvtX/2QIz4eDUP//8+nVV\nTurZDHCBS4XkPlTceyNuXCX5M3wjJQxCO0DbrvHmS5t2bi24p1l9KjKIGiPV748VBmRTGf2cdBcJ\n8KN8Lu2EiNCR1zntfhsBAHh5wxuR40gavP3oOffyshENb2IQJEyG/FQlG7mykUAZVvouLhrJLRoY\n7XF2NRLsqAAUnlv3Kn8dXzj5evsdrn3kNFn26kfrK/X1sLFli3GOuevaRuWDQuOfyYRpjGwc1q2j\n/vOrT0X+9p85TNzJBiDSHoHreiLPpU6u9YdXPp74Pp93P3rMz3RfCjz0olTcK4oowOTh4wCg0whx\n/Hzy3+ObCvtjxdP7AwoQjfbo18ueeijy3HbPp+h4YCNXFNio4Csb1xTUXMUhY3SzOA6v/69FGiX/\nZOnnMHGYc+ZydlC05iqqKJxXygpC+DWrgTdOQrkoh6vzce0M+HkYj2Ryyis/SwFXB8bbdufPtRMB\nShtXzuiOziVZidGlsnu9oazzNToP4bR7PyWeHcQByNYxceog11mxoQPlAgdQruk9j+FZ04PTf574\n+/y+A8+IjGvModMW2N3ldECrYBsz6Dlt0a8187HHE4lccRp/0dNcNWQUrBI2cpV3k1MrYeulSzD8\n0hYBquiDLasK65h6ilw+j0HpOgxO8OQl4R8zk0mlMdQYN+XiN/stWnMVhujI5SLnc6fX+PhX//yz\nXdalH+jPOD0FiGpN8OfzTeqjb6jpyJWru+KHrFuPM/KeX/cauM7HFv4iOnkBgPfufxoOnDIPeZXH\np4+/yn4+16Q0KkTvfFsP1dEeMR71MTphFO57ZPdNKW/QcGF2NsCiEvP6Pb/XllV+8x7mm3Zug58W\n+K4pQLXrgTbeMilTH0CB3WelnPwypx+GQRDLjXYiDT6cgsJ9rmxNGwh1qQzasx1ezZVLp3M1V9pw\n4SJbf+JgvchwkSF77s15uee8f8OCiXtEIkScquDvo/+75L0HuxV9ICOh76WYaNUlp8oIFDGuyE1g\n2HPantWDF+8X/37bvdQm/V0zePuCFp4U+91nfhS/uvyL1tsXBoVKVv7xvWBSbEMiE6GkxEFU6Fso\n5X4fv94UcJEr/znMk/zRg5sB6OeEn5WQVzorIxWG1mnDUXPA9NzxIz1G+CIfGw9LpbmlwzSmmrSy\nrhKP5GbzOazevC7iCIiLMN195kfxuZOvsylYvle9XC7b/7TE961jJ+HeSgUp7OxosxGII2YsxM2L\nL0c6SKE9226/c9tJ1+LW468puf1iTYzvPvNj+M9TPxR57yNHX1pyXXEjguuL/DHmmFkH2mXqUmkb\nuWJHjhahSHac2nUjGrni3+6c+cn1dbubZr6cwsiGnJ6gJ1/rXFu8tXWHdY7ytq0qItipqIWUbDpd\nTIo9Mq+zkStnwPiZHoDfa85vncIZEcWNK5siqlRiqqyfFlgYuYo6xvwUQP6cHYI67dQYarbOykTM\nyFe/dmUGtg8evBrGsFAtkEmHKTuG+MOF3zeTTEYK1y+DPIVKcqmbl+13auT4I79FnksmYkIjCQGB\naiPGVZWI11wBMIX5oedt8GonfC9DENiJzJTm8QAKpct7kkovvGQJ8crxB5y4WiCfF558OyEA/q5e\njsPvQGGT1Mh+eq4L/u6s0VMARFPkuC+H7QruGSw72lutl//3Lz+OH6/4P2vEuHxft0nej2kjJmL4\noCHIqzxGNA7DfrvtiW+f84nIw9GHr6nJzePse6fseZjed18YwkQyAF087gtmuKJOly/tX2N8bjo8\nQ/n5da/pU4VoBM5Pj4vniOfzedNTKmOMGLedjnzW1jdx/5lUENoHpv9g9qO4Ny++3HuYegaUmSjW\npdLYmW2Hk6U1vbbITRC5N5iOjHUYgySakpRkFPCEcZ8JsyKedl1XF4tGx+pXsibtyipIUdTba8UC\nAjdQuD4gxksJ37vorg8iN9iHQYidHW0AgPFNowqOgfcHcNGqKw44PRK5GjV4OHYbPrZg8ALBm3iQ\n9d7zubMCHiA7AZfIVd8l791nOZWLGBR8r/qTX3ZUsOAREUWMK64x5Kiwm7jp62LxzP0j269LZdCR\nzzqxhohBFuWmIy8GoFVcu2uvH2Jqu5jvPPZL/ZzyJOPj+3DQlL0xe8xUez64PUOx3lVxxjeNxIIJ\nyZElG7my94rbdkOmDm9t3WCdWo2ZQTh7/hLrGOJnznF7HITxQ5Pvd2beuBmYOWq3gvenNI/HUbu7\n2t6JQ0fjMBM1KEYYm7/w72yNjCDA8IYhdpl0mMbOdl1z5Udu2JAuNsfhuqwOI0LB4x+LJxWDr1HO\nBuEoBYBI+iKg0zWH1g+2PfrCyDjqKQl6kauQnCoteU6DaE2sE3JkOoUAACAASURBVI1hA8Y3xPRx\nu9ofNnB4HU+ZdjBJ8P3IqbdJ5w1w7Rb8fSMAzQ1DAQB3//UnhYIXpM9UzhojbFz56X8qkkEST59k\niXl2IHKqcLG0PWsEJ5ghPB+w4krG+cpjqd+uYJyJwsbTTG20ilxaIOkfpug5riYyClYJng9zHQZg\njCv/RvWW59fsYef8b44IVMtgqYQbDr8AQLL6Xymq5QXwI01x79aJJm9/ZOMwK2Me9aTp136dmHv4\nud+DUVB4z9yjIt89ec/DcNKcQ21ufWu23SjneI3rvDzlTTu3Rgs24Q+apAUBIkaJ3p+6VAat2Xb7\nIPvG2bdg4aTZAPSAuXj36ITkX4+5AgBw4cIT7HsLJ87R58wTYwgoQIeJCHEudEQ5Cc7Q0Mp5nnHF\nkatsVD4ZcJESexxe7Vc8JZQnWHWpNDpM5IqL2/1+ZEwYhLouigUtPIGSsU0jMGv0FJw9f4mXKsP9\nyfK2jjEkf5KmPY1KKdvmIK/yRlpaG1Rt2Y5I5CounuLbtvHj82uuYL5lzwviE1WvcNkYLFquPBct\nTg61MhanEfN2nBCOF7ni9cIVBKeC0Ka4FksriTe8vGjhiYnRYdfSICiIXBE57zF/J+ul7rDhJTVX\nfRddBxpV4mICIi2SE0sLVEpZ5xaBIhkJUVXVnHV48JgQv9+b6hvQ0t5q03W47jMpTeeI6YsAaONq\n/vhZGD5oSOFCZTK/iCBTpP1JEaeA39MNKJ6eFud/rvxK0f6Q5I0T+m/32fBBTRhaP6QguvfUmhex\nZsv6ipwXE4aOxo+Xfq7T5X59xZ0Y0Ti05DKR8RaupojPTzxKWReayBVF4yxch1YsOycVhHhx/Sr8\n6dUnI/0WfRZNnF3w3sxRk1Gfqosq0XrjVBhEI0zaAZaPLOcLP7FhwXWH+rnm5nJ+5oM/X7GtUeDq\nmqJpgVHxJgLw6+d1xg2n4ifB92y83MD/HIiKsPhG4/tNHeSW1u3W8Ig+q8nelzwOOeEKlwoYiVzB\nrxvWx50KU6auOJqqzutjuI9Xkq3DmSx8rjgaGE0L1FE830lYsB6vjMNvjdITrUJkFKwSNtrhXVQd\nuWxR1S9ucssXKfciYnojcrV035MxYeho7DtpTkXfq9QYK0Yq4WH17Ud/AQBYaB6mDZl6U8gf7X/C\nxa5jhjTb9wLvgRnfz7xSOHWvw03kRG937rgZuPWEa5AOUxg3ZCTash22AJcn2a++uybyAOTwt9um\n8+LFUxH4usiEKfz+5ccjHibmtpOuxV7jpkfeO2Pe0Vhx4zKrrOWvK21r05xYAqDV4tpzHU7hCtGa\nK659sOcjX7zPVdxT5u9zfKKhDZk8MsZgICKM9fL745P/VBCa3OhCaf3GzCDcd/Fn9f6bhyqMut7a\nrRuwqWWbHuRjioi5PHsdXQoAewhToVbc4kaL+lyymlHBoRc4Dmzkyhq1wOHTF0Z+E/0+1yxpQQv2\nvNmIgTdIsTHflu3wBkWXFugrOgG6GJcI3uDV+WPcKlXyRCgIrIxx3PPKv4tVtbIDdIB7l/86ch44\nWqUjiPo4JHLVd1HeJEULWsTTAnNRxUrko86V2D3iO3GsfDhcS4h4lKc+VYdsPoetrTsQUIArD3yP\n3i8UTnZ4PBiUrsM1h5yNP1zzjS4fdzGDP6KeWcSjHW/wumLty7jz9Ju6vC96W26cAPT9yc/q9lzW\nRrL9SfSGHVoBdOU7b3Zr25VSn6rDnDHTYpErJ29t04tj52/lxjex3fQ/9H/dddu0cVXMgTzCq6/b\naJrOA9Hfavnq5wu+d9n+p+LR678b+b6dWBuHFNcLshACzwnseWYHlq2BdSn+fiSXxyq3ncB+X0f8\nXdofISqdn1eu1xwbDyvWvgwAaG4oLiLGaf3x+n3/c0DPSWydnuc49L/iR4P4u1ynRURoNk5qFTvu\nlBGS0N9xKoK+weL6W7FTorDuC3ACMUnzR10m49JOneqf10RYcdpicprpyxvewJOrX7Djbt60PPCf\nT7VERsEq40cycraPiEK8hwRP0Ndte9eGaP2RK6kxb0/w4BV34njT6btcqiW+UZ/S9Tg/feb33iTQ\neFC8x7Mt7EWAA6fMA+AeLBOHjbHLEWkFQffQcZGrZ95aiVSgi/FtsbZHOkyhzXSXt+IEhp3ZNvs6\nm89FZFH5YWX7SyUcpz9IdLU+hR8k3LDRpgXGZPF92VsisumCttExH4fxIrZ2JPe58q/NpDA+AHsd\ns+w5K1v5xCdbWrjC1Sc5wzke4XJKSXxMLe079aCAwEjROm8qT0x4EOH0hJBCtOXao4Xi8ciVd639\n7JmHC/YDQCSPnLvKx9NU2SvpUiNNdDGX8yR+YdNS/OJwnfYQ7ZXmpwUGFCDDxkzsnI4bMhJLYulY\n8YLpQel6NBgRi6RJgj8xCO32HekwhRU3LrP3G5GbHFZSkyL0LP7E0O8PCLhUVp4U8QSGvcYAsGXn\n9oI1atGHlLk/9XViBU9iacNhwrMSSG46zVE19nB3BZ5MFzOcos/i0pErf9nuTs7iWRVEhI8veS8A\nYN22jfa38ceHfzlyKQBWpasN/3PFl3H/JZ+Pvnfll/G1sz4W2Rc/JdqPdPo8aVLcOKrB8DEnzRse\nuvIr+OBhFyTuWzQdtTgfO/oy+9ql2uvx5eiZ+wHgcgwyrVg89VkzZvh1u86AcHWy8WuXa12dQh1s\nuQcoet37UuwsX84s3fekoscVUoC3tr0TGRN8/PUUjG2kl3DnRe+brxhLpCXdAxCuPvgsPa5ZsQp3\nDiJS7Mr1v2IDKGVSOl1mSGHNFeCyKLgZsg9H/LhsxjZ4NlkufluAtL3+ouv/2bM8drtaLZ4nJTlz\nqo2MglXCqQXmbI+nbC5XkKfLxPvNxJvNZUoUNvY1ktQCu4IvL8s35H+coAt2/cEsFaTsxJ1v0Lle\nf6tHr7sXj153b8H6fbEHoLTHPx2msDOr88V9tUAg+pDIeh4aAF6NU3LTTV53d4lPFjhqU6j4xIM3\nNwaE8TSnIr8bD3TFHjpxVbHEZQKdZsFpge3ZbMGyrErHpIKUnoyZPHSO+MW/x5MRv0i3NdtulfKs\nsqNvXJFTbuQUTO4VE1KhfLnNWS8xceLf3k89ecHUpsXPEacvcP2dNaJMrruT5XXFxL40td9DSG8L\n+Pvr/7AGND8j0jHj6lfv/SI+e9K10f32jKZHr7sXYRBEolhuOdj3bHoLuWNl4hOqgMjm0JcTSRN6\nB574EbRjKFInGESvQX/yxL99XFDHRq5Cbj+hJ2D7TtIN3ON1MnFjrhTZmFpcV2gyKYzjm5In5n7N\naHxyxvgNswFg8vBx3U6FT6qJWTJTNwEe3tCEHe07C46b+wnWkvFDR2HGyEmR95obmtBUPzhyX6/Z\nst5GPeNpWaftdUTk+2EQYGrzBFx76Ln4yns+bI8rKS1wbNPIbhnTQNQY5+c1j8V+LZFtgYPosy1a\nm+wMLb/Hk2+o+GNmtM7H1RKfv+BYu4z/XM2ZulZOc4w3sPZhI18LeBVPCwTcNevmGlERB20M5Tyl\nPX2uWMk2k0pjzOBmez/zcevGwCzFTrbuqbWjHeu2bbRjsq5rLhxf9p+8Fz59/NUAgKNn6pq/pPkj\nZ2x0mLmAVfojl97Hhm7KprdH75d/XXKFPS9+/Ruh9BhfLWQUrBI8+c/mc7ZnDIdnfUufvTKRQmJE\nm839/NLbIylgfZ1qGAtA1Lji88MPm0jkKghtk1R+sPv7UJ/OJD6gO2KqhnGvqs/arRtMH6kQKU8t\nEIg+xDry2VhqiYs8xKORTMaTXy/Fd879JB6++uuJnyWp6VlVnYTlXn93rfUEcRTHN1hL1fjF69uK\n/d4cocmrPNpzWfzhleUF3uA9TKNkhtMyuQM7F8MWGzz841u//V2kgpQX+YXzaHlphjlbc6WNq7Zc\nhzWaAeflKyuGmDApevXdNZH39GKBlWp3hpaLGITe+Sc4Y9yPHPnNK/VyhKfWvGg/t+ISMeMqHaYK\nIoS+h5zvjaSceN8I48JsX1CDvcJ8r/o5/XVpiVz1dVxfPvc7syHENSJ+vYayNSbJd0de6d5WaTPp\nYrGVTCqNI2fsGxFNAGJ1O+b1HqOnYEKCMMPwQU0FE/1KmTFiEvYcO73A4L/igNMB6P3k8frpNS8l\nroPPB6fRDkrXYa+x062AQlfwMxw0+r5cOHE29jb1YXFHWW87LeIZC3yfp71IJwBbn8ewKNTl+5+G\nQ6ftU5YTqzMaYk666H7615j+Py6AxYYCK9O6elsFK2jh1RU5MQegWORIb9tti9P+AiI0eYaxHz1m\nQ+siE7EqJZbSZARVsrlc4v2YZFz5jsO7//oTAMDpc48EK+n54h8gRByC9rhjBqmWqXdGFxTw4obX\nsWnnNix76iGkwhTac1mMNDV87tzmUZfK4GQjxsUp5UnXga4HIxtJd8q7rokwty/x1U19pjRPsPML\nNoz5vEvkqh/BPxanNI1qHG4ndBxWJiI0DeImwYFVb9GedxdGnTpiQpfTxXqae8//d3zimCursq54\nVANwD+yFE2fjS6fdCMB5T9/e9g7WbNY9HspRcOLIVTz6kASrrwWkJ+E5lcMmIzs+3xtUsznt6b39\nlBvMumG/lxSBAco3RhdM3CMxB3tK8/iCCaxumEsF6aS83NNrX/I8UFHpZAARVZ84ykjPslHoG4dR\nGVoXJVr17lq8uXldwfHH1QVTQWjz1AnAW9vewda2HYkT9IACtHa02/O3ra3F1Gw5wYi6MI22bIeT\nKze51rYhdBCgvZigRcJvFfcW8xKueXNyRI9/C05D0JHpwBqCoTc42NRT5aLXrIqkEDWM7H6Q7vnm\n738pOJUoKXIQqaWIH18scjXFKFaycWWNQRDqQhG06Ouw4IR/TX3znFts+jT3gAM4NbSwjUh8few9\nzpsCczbcvnjah7CHUWBNgq+7H1382cjkk2nI1BekqFXKiMah+O8Lby14n4VZ0kHKjsPb2gvTkwDn\nwPMnrGOGjMA95/1bl/eroObKnN9vn/uJREPT/05vETfubFpgGJ3c8mSZjay484fHX55cV0o6TOG6\nw84r+vm7Xp1WU52+rvz+lBplx2hWygOA/33p7y5iq1x0xtW+Kq2QWOS3sAqKpBvYs1BZEk7oiLDn\nmGkASjt8M6k0muob0Z7rKLLOJOPKrY+v830n7amFlUztddL+kH/cnLnj1aDl4ZSI41Fczg5xkvgm\nehhbjmuukq4DHiNt2qaN9rnzqyvhnKBF/P4YlM6435cduCb6JTVX/Qh+oFiFMGN1hxRtIsyKYoRo\nak02n+yN6OvsPX5mpxKp5ZLUdT7wJsBHzFgU+SwVpvDihtcBdF679PmTr8fnTr4OAPCFU67HbSdd\nW5YBG5oJ8bbWFpz7vY/afdlr7HSMGdJsa+x2G65rTzbt3Kb3m6Id0H26E+m7Zcl78bGjL01Im3Op\nZVHPnW/86BRV9k5HI1e54sYVdNOJE+ccUrD/+0SkhpVJC3TrfWvrO5F1pYIQJ885zP0dhpGoTUcu\ni2feWpk4kQiDADvad9rank0tW5EOXeSKCGisG4RNLVttnYj9HYyREAYh2k3kKp4WyIMT38v/duz7\ncesJyX1kfKPC7Z87fzmV1+kbZrtZFU179PPYOTrEqY2MU0cs/F180ZdSPYKY7zz2S3OEhcZVNCUm\nKPjMj5zxxPlwo+Tmq2SJoEXfhwUnbFqadz28snE11m59x05W2AFQTPoZAFiZk/u+xWuLS9GbDkSe\n+G1s2RxxBlx7aOGkPRVT1RyX0IC3UvieaksQEOL7KA4bN74ibk+SNOYAzmHGz01++n/s6EsBFBpl\nHHGfNqLz3mU/XnqbrUVj7jz9ppKG2Q5PcGrooMEY0TA0ovILuJYqSfMup3bJaYF5W/ujrLOhsMTj\n4kUnAl4K+NqtG7CtrQVJORGcihg3voo5Mey2gpSpN0+OXLHj19UGu6yMixZpteF3W7YYh2Qu0hhb\npwVGjU0+B2xQcS1wXuWRotAGDs7ce7H9xsp33sTarRvsebEqhgnHs+LGZYnXQc6MezxWcvokOx2t\nUJxSVjE5Pu44B6CuG+b6NxbiqDUyClYJ/rF0mFk3nuWcdpsWCLJpUQEFtmaCSEvg9nbYv7dJMjpK\nTdQmDxtb9LM4x8w6AMfM0jnti2fuj+P2OKis892Wa8e2thac9/2PWYVHADh7/hLsN2kvoxaYsjc4\nY9OqEtY5xjQ77Apn7r0Y+0+ea9PDGKcAFu2t5U+euJBTC06kIh6nfInIFcy1G1ec4+8xo4c0I5fP\nRTxU8XTDVBDi0ydc7TkWQptKEdnvhN+GEKA914GRxph/Yf0qV3NlDKj6VAavb3orUnPFxhRvn1Ug\nbWpOpOjXcdrcIwrSc52Eskv/5Hx5//v3/+N3+MWzf0AYmOMzxiMP6L6KqK25SqhB4OJdf9vMvcsf\nsOdwwcTkfjqlSPR9JqQ9OkPLfYdVOX0jzAla9D8n0UBBS7G73znR+eOl2WjvdfJy7KyxUuwqKsDi\n85kTP1D4/V68TlhO/rm3X7VjzPBBTVi670n47fv/K7KsL3jz8NVfx6dMzUh34GPfuENHWZKMrILv\nmLsvKRLXEyRlSwDu+RkXU2o3f8fH8GLy9D6/u+qrAJIl+gMKcOSMRfjNlV9J/G68JMDPbGAUFF59\ndw1e3bimMMUefo2RE3VhhVc/CvabK7+C0YOb8burvoprDz3PpoATEZ548zmz/aS9dGJL2phjBb7S\n98TGli1Yv/1dBES4fP9TC87Luq16jsIOAV/Jka8fzujI5nJeFgpZ44p/L47e+S0ZItFsT0lxvVGA\n9HHGlTnvFRg0PF5m8zlkc1ld42dSLZ1aoM7siEdOGc6EsvVtZo5AkJqrfoWtucrpVLAwVpjP+Z6T\njLpWQE66+Kk1L+Kfb7/S62H/3oYfLBy+BoDRJaJiY7vpQSwnUlgs+qSVBrNG0CIsMNTcjV743SF1\nDV3aX5/BRqGO2bRzqy1SbfQ+8w1CK8Vu03jcAyabz2F7+87EbbHn+qfPaGVCnmxMGDoaCybuYc9j\n86Am7b1OqE978ob/1t8NowZcKgxdyN67/oulU7a0t2JIXQMOmDwXAGyhMXvcmhuGojEzyNaJPLn6\nBXz1b/fb3+eVjav14BQEgDfYAG4SUCof2zeq+O+z5i8x56XQOcA9wWy+N0euTIoJbP69lpC39Qgm\n3z+n8tZAjkedWDY/HYa4w6Sldka0LixpYh0tQiaiyLHGHQP+cknS7kLfgvu/cT+71ze9VbCMXyDu\ny6vHIYKddKVNWmC8WSuz+8jCRrZ9IcI5fuhoex985KhLkArCgqiInzbc3NCUmGFRKTZyaO6fuGGS\nBO+n32esJ2luGIqbF19m/3bPaP285PHk3H2OwX+d8VH8xPSoil8P58zXn5dipCenHoejPsUiiAdN\n2duWEAC6Tcu2Vpdq/p1zP4EPHX4RAH3986QdgK3PW71lfVQdzzynuQaRfzfeh5GNw5AOU9jUshUb\nW7bozAJPUbbgGDhVzUTOfOXeciAiXL7/aZHzSER4a5vOFHGtWtw++CIq7Pz195EIdhy2x8rH7akn\n+o2DuS7rT68+WbCP8drySuqc2IDK5rNWdp9/dxdF1JF424cxtg6+T1uzbTZSx4aW1Fz1K0y/Ku8H\nBFCgruITj9RIrYIOEz989dfs684MqO9d8Kkub6tcz6mfw81wjwxOCyyQGE9Iuaomh8QiKtvbWkzN\nRA5D6hpsw82tnroX9yXx+9IwpdSv4gXtfEwPXnEnrj30PEw1Yf05Y6fpmitfWZHiBow+T1Oax2NK\n83hTcOqUfOLf86lPZbCxZQvSYQp/f/0Zu98/ePJ/cNcj94H7ieSUq7ECgH+sfakgsuh7493/nd9/\n3P/j58/8QR9XENiJUVLk78X1qyL1d5y6GQYhtrW1YEd7a2JKp2sunvcMGO/8wOWqh0GA4Q1NWHHj\nsk7331/Hm5vXFXwez1/3n2UAsNvwsZHtOMPLi1zJc6zPwmmof3jlCQCFNZBANF3dNVNNSkPiemLd\nSDaby0XUPH0mDB2NRbH+iX2hrpiIcNl+p+CKA04varSki9R0dIcX1q8CUJ5Dx2feuN1ty5KeJgwC\nnG1q1QAv3cvsOo8hjZlBOHjq3rjMRFbi2QuD6xpw8NS9O93evpP2xISho3Dg5HmR1hKdPafTYaqg\nhIBrqQBgwcTZkYbJfu31nmOm4a+rVuDJ1S94ghZ+zVVS/ZbjkVUr8MdXntBOqSKTfn7Pr3Ea3tAU\nqeXuDCKy59mtM6nmyvVw5M/DILTP+YyvFkiuJQoA02XB6/WlYFq4aKGlMAgAm31RCBtXTxjjqJI6\nJ06H9xWedVkN2RIC7fgp/hzh9zkrLG+yeqjCfekqMgpWCY4GZHO5yI3VmK7Hzmyb9Vz74ch4rUSQ\neBsKpUhR5/UmxeiO55SI8NuXHi1qXAUlHqzMhQtP6PL2416hwBTQ6uvPNcg9bg/Xs4xMKD2XN4IW\nRdL3jowNTJxKVIwfXPBpPHjFnbho4YlWij0OP+h4Mv698z+FH174H/ozUIHHO3mCpgu9/XPtPyPJ\nM1J4fSfOOQSX7ndKwb3mG3NxYYdSz910ytQXmAElJF/SXG9jvlH7Yv7x1st47u1XXTpGPme9apta\ntoLg9UXjcU253H+/DorVRokItxm59bjhmMSvLv+i/p53RT4dSy0FCpW/QIVF9z4hOa8+R676QkRC\nKEZURjoeSfbf4xoTborqc8zMA3DC7INNaiusU+OF9asSjeuGTD2+dc6/VvVIqoFSCgdPnY8PHHJO\n0WVsn54qDs++YBLvRzl874JP9ZnyAd53NlTiggWselhOymMS3zznFgyua8DEYaPxhVM+6G23az9E\nse/5Y0MYhDYjQD+DY32uVFRBr9S29p+8l3mdkOJOrnUKmSym71YgkFJMTfe4PQ4C4BlXoUtp9R2d\nPG+K9LkCbGNhIsIbm9/Gum3vmkhP3hg8OsvERvVMJI9hpy7gnBLcx6qSVDxOh/cVM0lbgODGwixo\n4RySyWRzWZtOyHXDErnqR3B+Lnuo+YYdUt+INVvWJ8rZxichfeWh2Z+YPWZql1WbSnlO2cAoJj6x\nYbvOMd7e1qJrrhKa43a2je6kB84cpdNsOHrR0tFqVQ39OhnfELGRK6iCyJVvXDVkoqqNvhx4Eg2Z\nekwYOhqZVNoaNt8+5xMACiNivJ6GTL3dDnvwQLDyxknbG2oe3H76nb/+He077cM/Z4peRzUOjzQ0\nZPyHdlyNr9SDl+/hCxceb/eT93X4oCH4+aW344un3YjL9ovmw393+QMAnFy+lXcO0wB59XI8UBgP\nYrwX0R9f1RGHMAgxxEjzJk2Q43Cdg389nrPPMQXLxfPXuU5Mv04wrng5BNJEuB/A3ngmKWXJLxBn\nj3Xc8ff5U67Hvx93la3h9O+vcoz9vgLXDpYiXodYTXjdcdn1/gCPjZwqnNQUGNBpWdVkcBfHzWIR\nL7+VRxgE1uDgDA9l6oqcCFHx8ZBVKAMKcP6C482GE/YFZKXgu3JdJaWg+85710S4MDWRiFzkKuUU\n/VzNdhBZnp8DChyt1sYVK2H7RhNRgIsWnggAVuadP63EnMnatEDPuDKpjSxooWI1nsWMt6yn7qiP\nU2qu+hV6wpqyqT08OalPZbCzvTUSYgaAA6fMK6zTkUlJxRBRl/uNjGwsXs918+LLMWvUZMwfn7xu\nflC/uOF1U3OlH1Y8WNtUsxpFI3n945pcDQwr4/k55Elqgfl8vqDmqj3XYfu9zBo1ObItXif3hilG\nQOzVymP0EH1u4+H3RO8hPzARYM+x0wr2218/UGjw3nD4BfZ1GAR4a+s7yJsHajpMobWjvcCR0WG8\nWf56y/GIsseZU3OskpHZ56kjJmB4QxOGJ0joc+SKjaiRjcOQVTkEIHTksloFipwXjvvKuPQSwhub\n3gYAbGvd4fpclTGZ5f31z2tdWKhKFo9c+YZ64kTcq0exaoHiJOqzcEsQJqmBp29g82SSiAqi87ye\n+GSzv/z+f7zmG3jfgWd0ulwtnuG8zhZP2a4/UZ+qs9kT/NxMupYAYGdH1yJXSfz+qq+WlPcvRfHI\nVWDHqVQQ2vHFGldevyd2JhRb17NvvwIAkfulNen4ST87O3LJ7Vo6w7/H9hw73W5TeccBeDVX5ByR\nbNgBLi2Q5wxZT9CCcfVNzsBklT6O5NllydXo8vVhHaAVGDScdujXIgZetM9GrpT7XTtyHYnr2ta2\nI1bPLWqB/QulkApc3wS+QJsbhtpBiijAoHQdpo2YiMbMoIJoR0/kge4KfPr4q0umcZRLGASYPWYq\nxiao940aPBz3Lb2taLd4/3Go0wL17/3+A8/U67aekkJjBQCOnXUgjpyxb8H7lTJh6Bj72k8zSIo2\n6CLVvFML9DyNOztaray6LwXsqwSdt8+xtuFoEroze9b0rCp8tMwctZuNtvg42frCFD2fh1c+brfj\n799eY2fYv0PS+7BhxyZoRc40dna0Fdxr2XwOD69cHllfOc6Nv65aEVk2oAB7j9sdh0ydH1muPSEV\nRke5tDKoS2FkoQvSErlwXji/ABmIGkahqVXTn3c+ONel0pjWPKHTlD2X4ujXXPH6C7fjzh0V9DUR\n+h7xDIqkQnq/5orjuAERdiuizhqXue4vapHDBg3pVluM7rDY1BA99OLfemX73eGnl3wB91/y+QI1\nuGKRq66mBSYxooTQRWcUuy7zSmHf3fS45htXXO/qR2eVcU4WGyus0qaXhueLPXB0n6DlwbP5LEoX\nDyTjP8e5obLNAIFzevlpf/780qUNOrl0ljknokideT6fx+rN6wAo21rIng/EjaugwLDjiEIls1tu\nF+MbVwRCOkzbPpWs6Mjnr62IcQUU1sBLzVU/wtZc5XN2EgXoizifz5tBTf/9s0u/YD8DgGkjJgIA\n/rH25V7Z9/7GyXse1mkUpVyWXfQZPPS+uyr+XrzPBYffd7CzyAAAIABJREFUT5h9SOxzsoW9Pp87\n+TrMGl1odFWKn1ro+kU51aB4k0CWlY33ucrm88ikYtKpAObffp4tuh3ROAzfPOeWovtSn8qgPdcR\nEZPw+fHSz9k0BB/bu4KCSCSkGKkgtHLJeaVsHRQfI6B7nYSBNq5as2324cpFw9NGTMBU0+TSpSeW\n/zj0ewGNHzoKd53xkcjn7E2MHKfx6uWscUW2OeK4plG2Fx4QTd9KWUPHnZeUlxZYrC9OfNs/u+z2\nyHlNSn+MpCvqL3opgoW/CdeOcVoJgEgRstD3ICKMb9L1i/4zgCd+qcDVEGbzOeN5JtxwxIX4l6OW\nFqzvpXfeSCymL8ZeY6fjeFMbMlDhepS9Ep4TfZ3pIydi4rDRBX2MkiJXSxedZMfE3iaeFsgZL/cu\n/3WkZ2DGprMphFbAwRdwKd5UO+zEUdfqGZos2NAVZ4T/HD95z0MBaIOE72f+bWzNFREOmjKvYD99\nh5gvsOHv/3eXP4A/v/aUlwqYt3MIXU4Qj1zFjCurj1GZWmAmTEe/Q8CgVMbOL5QR3OBTwQqoSfiZ\nRAGxUm9tEeOqSijATZwQLSjk/h/xG86qz5i80q1tO3pyl4Uy+dpZNxe85z8PfUELm6rl1VzVMgQ9\nuXmclTm2inPedcYT7yF1jdbbk/O8Tq75dS7SLHPZRZ+x6/An/aVIG8WweDPczuBiU8DdE6UiLOkw\nZWvNFPIRcQ9eD/fFSKdSJnLFkWSdrjd7zFQcPn0hABSkt5QDn7diyngHegMZw9Eqrst8e9tG/Pm1\np/Dn155ycvJ2A24y4EeufMWnoYMGY8WNywpq5MplmFd8zPCAyPnyLLbB24/jUj/cNd6R71xWWugd\nOC2Qm376KVYXLdK1Epz6mgnTyOZzWnSFgEOn7YMLuI7EY2vrjoIIeSl+cOGt+KwRYxmocLuMeMSb\n4bqVvgzf++tMj6MHn/9LwTI3HHEhdh81qUf3qxjx5zsbAZt3bgOg61L3mTALC03fQv6OVszM27TA\neBPh6DrLUwnmLI2OfLaicYd7W/nbnzFSn1+lFA6ZujdmjZ6COvPb+I4Ov40Gixm5sU/XWeW4fZC3\nS5yt4kuxKyjUpTImU0VZIYttbS0FMvCcfl6RWmA+nyjalfKipdzcmcfEthLGlaurFrXAfocy+bmc\nlsWTLo5csQSuD9/cNx15MYDSPZ2E3uOAyXMLPIyNGRcxSgUpZFJpPHb9vQV1PARgUBcnv53x+PXf\nw/n7HBfxTrGgxcFTolK388fPtIZe3ivwXPXuWgCwqYK877PHTLXfZY9VZ2jFuBRas+0V1V34tWIs\nsV5KbjfaxFhFHsLxQtxMmMZfXnsaq7esBwCMSqizK2h2WAYTTH1aJcp4Acgzotx+PvLa03hi9fNY\nvvp5+9zw8/r9KKhrfNz9R/eMkZPw2PX3Rt5jA9tvcF5K+ZKvd195sBp9gITawBkU7Ln15Z/5Wm4x\n/e7SYQpTmsfj3ZatndYd+RPE/ijOUIpaZDkOrmvAihuX4bDpCxI/nzhsdPU3WmX4ubutnziFizm3\nuSzgzx/4Fg6cMi/iGON0Oq7tUaq0FDvP6TgVsM7L1IhHdFMmclVOCxCGbQI/W4HraXMqjzP3Xoz7\nLv6s/TzVSSZIxos+vvruGvzsmYcLUvrPnr8ECyfO1g2FjRBWLp9HnclUUVD40BG6b1hb1tU3u23H\ndr4MciofyUgBgN+88NdIGjqLbPCxtecK00/HDRlplmejN8Ajq1bg+088WPa+dBUxrqoEX3icFvjC\nulUA9GQlp/KAqbny4Ukde69E0KLv8tWzbsZvrvwKfv3eLwEAjpl1gP2MUzz8B17oRR0On7YAv7js\njqrvUyaVLqivyhojpUBRiTy1QKO2A7ic/2w+7xW/Rh/EuSI1VIn7FGbQ0t5aWeQKZHtQcEFw0uBV\nl5BSqJQbIABgvJFrB3RUKVMgfnEh/ueKL0feKxgESvD/TK3fEKO+V4khwU4XTgu0+xkrtgUQ6S3k\npNDhNeqtzowvnlJovY2sIgUqyxvLzWh/funtmOvVwAl9C5YuLtbwGnCpRHmVR2NmELa2bS+oWWT2\nssX07houVnvTX6mVKBFz1UFnFrx39vwl+PMHvlXT7XaX7e1aYjs0adpxR01fgyOyDKfUX3fYeZH3\nWVkVgM324L5LG1s2R5oIx4kbUH40pane9VGzaYZQFV1dnCbX7AkmTR850azTGS916WjPQf/+9ffR\nVwtk4o47nf6X002HraCFjizlTMkLZyv4qf08B+HdqiQtMB2mCiJX/r6nw5StueL7szUhcuUHOQDn\nIGQnbi3pnWrOXRBWlgH0hdrSoVWAuJ9QUp7uzYsvw8WLTgQR4Ztn34KZCcIHQt9gSF1DpL4pVeRh\nxURU+ogwxdT31ALXyDWwYf0keW4CObUjuGgIYCJXCbKtgFPuKYf6VAbb2nZYg29kGQXI3Hw7YmQk\nbO9HF302Es7ne6a1SMF0SAF2Gz4uun/pTMQAAyorcuX1cWSwwaT3JPGLy+5ANp/DGffcBMDJtrer\nbIE0LuOMK1eoa1MaQDZVvFYTvnhaoJ9/X05qKDeUFvom7Fg5Z/4xmD8h2o/NdwgBWlGzMVOPtmxH\npNGqD9/f/pVRy2fdrsjoBDn4gILIJL8v8qt//gmAvm44Tbsv87dV/7BpdQDw8SXvxb677YlDpu5T\n9DvaYa4n8XWpNFraW61YUhKl6g3/+8Jbkc1ncdI3rzfrjt5v5VCqxMBvS8L1kzaKZP7/zrmfxNxx\nM3DLb+4G4KV1ew4RIopk6nBGFqdD8nzWlrwohWfWrrTHEsYMGbd/5RlXP7/0dgyua8Cdf/5hwWd+\nc+SsMfhs5CphHmDLDDyBpp5CjKsqwY0UgahXOWXUy5Qq/GFHNA6z6jesViP0D/yJZpLiVLm519Ug\n9K47pxYYk0321Ity+XwkGgLohysfx8p33ox8t1QaRBwbWQl0w1tupFgSkxYYUoCz916C+1b8NrGh\ndnzizvdMrmVrkdUSdvPUFDsjV4bH3Ze6PW6Pg+wglkR8khmQllxvy7ZHzqeviOTqMN0592X19x4/\nE29sfrtm11Vc0MKPjPbkwCTUBr7P6tMZ2+SViU/y2nMdTpq/yKTRRVLdd3c1tchaH0+pZ0h/oFgU\np68RrwUd3tCEc/c5tuR3dKRG18yPbxqFP7yi+wwWM4iSjJ9RptxjXNNItxwU/vSKTh2s5Po6fe6R\nRbMlfOOFn99DTbSM798FE/eIfIeP4/5nfu+9FxW08I0o11hcJZa8hEEQMRo/ccyVmDhsDK6471Nl\n157zOJ9OiFyFnnGV84TigOg4ynANtmsEHh13a6kW2j/uin6AikWumFQY4rV31+Lld97Y5Qadgc5n\nTvwAgOSJR6neQNXGNv0MQmRzuilhOha58ruz+70s2OOYVTlsNPKr8cu0VAFvnDWmtimkAJfsd3Kk\ndqsYep+yCIIAp809AgDw9NoXS3/JI+4tXLz7fnYfkqTfmcnDx0VEHeINj5PIKV1PQkS47aRry7qn\nrWgAEZ5Y/TyeX/da0e/xROWPrzxhzzlHGQnA0EH6eP7y6lOdbrcr7DD1Nqwc6asAFjOw+4v0tgCb\n3pTEwkm6kJ+nQP/74t/xiGk9UKyXGhery9jWdeaMmdZrkvDdga+jYtdTX2HuOJ2mnNR2oDNCkxKX\nVwqNXu10sWfeETMWRf4+ac6hOHPe4sRl2410eCX3zpTm8Xh/QhopEEsLNE4PztKIp+QtXXQSAOcE\nPnDyXPtZQW2aTQvUwYK8EfhIBU6sjTcdUIAUuXnwe+Ydhf2ME/SVjavLPk4AyWmBoWuOzEZvqfNn\n5yOe4i6z6D8vrGh/KkWMqyqh1QJdjwPGn/jJJGTXgiVmk1IB/D5XtcaXBc9atUo3WA8bNMR6qfNK\nYc2W9SAiHDB5rm16nM/nrZRp/KG2Yfvmiq/dSmuu2KPOyk2bd24v+/vs+eU0Gi6ozyuVKP3OjBo8\nHH+85hv272JNMH0mVhAJY753/qcAAC+uX2XfKzYghN77G3ZsMsvqv3V9nJFir9FkjAchfzLdWRRW\nIlr9Bz8iGoefESMbhhZ8Viwt2JfjZmeTUBlTmsdj+Qe/39u7UTHcSmRUN3pP9QTfv+DTAMrLTIiz\nvX0n/vLa0wB0XTJTbHw7fe6Rkb9vPeEavP+gwkbVG7Zvsq+rVaPoOwczxulRLF0ziKUknjjnUPvZ\n719+PLIsN77n8gAWtGA10ciyQVCydUclJNVY87wmFXKqYufjj6/m3JNOIDGuqkRe5V1nez+k6k1y\nZRKy67HixmWJfYa2tGoFpZ74zVN+5MqkBXIfGwD44zXfiOSav7l5HUIKjHqgfi+Xz9mJUtwgac22\nVSy2UskzjDhyRQG2tGqjqrNeOT68v0tmapGRkSYNgwebc+YfU9Z6dNSv9I7PG787Vty4rOx9A5I9\nu8Wui7Vb3yl4jycFL214wyqKslphtWGjKqL+ZvpWDYmLpPD+dcEjLPQOxXrQMX+79h6bbus/Q4p9\n56k1LwDQ1zNP6ISBwU1HaJXjeKpZX6UrE+t3PCPIF8TobJwY76UAFoONkLe3bax4v5LwjSs2THhM\nj2fk/dMIR/lp6Ew8whRQgFc2rsbOjnbbyzVnygjiyrchBVi7ZQOA7s99eN/njJlm37OCFiwUB783\nZHFSvRBlFeOqSiiTgwogEnv0w/2SOjFwYPW0nvjNB9dpUYWAAjz6xrN49u1XcNGiE/GHq7+euDwX\ntQcgmyqRU3mviWhSmmNlx1FOY1smFYRoy3YgDALbbb4S4wrQMrofPfpSAMBHjroEALxu9eU95p5f\nv6omip3+9lnmt9h1wWqJPpyqBwAXmv43tarT8Ou7AP1c29zKfWAGJ36nMTOoqOEl9C3yRk20GH7P\nNH+yViwt8DXTykFB4cgZi2yUYFdCnKLJJNXb9WW4H2Ql+JPxTKwFSCnKESebZLIg/mpSb7tLPiEt\nMCm1DgAee+OfABBp/VEMHr9as21IhymtIQCl+1oaAS3+PhHh3uUP2NfdgfedWxUBsf6xJl3TH6uK\nH4PL7ukp+sdd0Q/QxpXrl/OzS28HEE8LlNM9UOjJFNCPLb4cP73kC0gFgS3qDIMAwz25Vp+GTD0C\nIjyyagX+8ZZW+cnl816+eOG+V9KLo1L8PlPc96VS46qpvtFTutP/s3pQsYlhnBfXr6pK/6hS/G3V\nPwAUf8jzmfc9n/6gGQYBfrz0NlxzyNk12b/C3lrAYdMW4HsXfKrod+6/5PP4ydLP1WR/hOqSVbmy\nvbf+dddWRJHTSrEbyX6ub9mVEKdoMj05Ua0GlUiBx9P7AEQUeBtLqMR+4pgrcfXBnT+fz56/pOz9\nKYckQQs3jkaP/bg9DgLgRa5UHlcccDoAYPig6LzBv/4zxrgKiBAGWqyNTIsX5oYjdC1Td+e7fAxJ\nKs3pQEfNWNDiCydfj08ff3XBOr58+r/gztNvst/bsGNTpI9ZOXXWXaV/3R19mLwXuQqIMKVZSzb7\nk0R5Rg8cWB68JwbmpvpGTB85sSwDaO64GWjraLcPvq/97X4ApmlfiTqeWhodtkt8ENj98oUmusKH\nj7oE80wNycX7npj44E2i3H5eXYWbGvoT3Ev2Pdm+5vQMXykpXog9c9TkkoN7d9jfFDZTLPo+b9zu\nRb8zrmkkxpaRBiP0Pn4D8UoYUaSuhqdUSa0fdhUOmLwXZkmblAJq9QzqC7CjcR+vybZvLJQaD98z\n7yhbj1aKicMqr98tjTNwuMdUsajOjrad9vPhg4Zg+ogJuHDhCQBQ4JRt8kSh6lIZo3YbmFqsnDGu\nTOQKZB0s8alPsShaMdKpQoU/P3KVzTtBiyWzDrCCPD6HTV+Ag6fOd/LwRFg40S33xJvPV7RPlSDG\nVZVQUJEfMKAAM0ZOikyiaj1xE/oePZlS8uDzf+l0mXSYQluuo2CClfMUBJmDTC8noLbHwUYdb3/x\n7vvh8OkLu7XO8xccZyVrRw9uxsl7HlbW92odceSI05ot662ncPqIifbzjnwWVx98Fq46+Cz7Xrxo\nuJYMqWvAnmOmYWSjru0q39cr9Af8BuKlmDRsDBZ6tTRjEnoxAcCbm98GUH50uD+yYOJs3Lf0tt7e\njT5HJpWuuP60N6kkkjLGCEH4ard93Tfut/5Ih6mSv81b21xt7x+u+QYmDRvrjOWYIeYb0XXpDNpz\nOoU/oMC2aWHjqrmhySmIevPdFTcuw+Mf/F5Fx2OdrjFZeEBrGeRM7Vc5WS5PrtZGVEO6HjtND1oA\n+OFTD1W0T5Ugs/0qoZRC2qoFmt4Bl3w+4nXO5gt1+IVdm55MD9ze1tLpMikvlO/jSzTzg/K/zviI\n/bzcyFVXjjfeS+f2U2+wXed7kvFNI2sWoVtx4zKsuHEZ9jRpVL68/e6jdsMnj30fAN2X5H0HnoHj\nTdoGgIJGyLXmvy/6D2uYdkW+WOi75PJ5K4BTip9fdgduPeED+ObZt5RczqYf7cKRK2HXoJK60Nlj\nphYqOJqx7aqDzkr4RmVUO6Vy+Qe/X9IhmY6JVA1OOBfs5MyadiO8Pj9AUJ/KoC3bYZoFu3YzgzN6\nfXuPn2nrvbo797FS9d57Vi3QyMPn8rmyjOZn39K1zJkwHVXCrWFqqxhXVUJHrgrlt/3C/pb21vjX\nhF2cnszXL6dXSipIoS3bjjAIcOl+pwDQxlTWK3Sfb9Lp/H0v90G5YMIeFdddxCNXvcHEoaOx59jp\nNa+L5Jq4PBQmmbSQmaMm2xz/pAjbNNNUcWKNFAJL8dKGN3p8m0LtyJUZuUoFYaQhaDEWTNjDLi8I\nfZVfXHZHxUYRj0v8bOYWO5eZcbOrfOU9H8Zv33+3/fvmxZd1a31A6bH/votvw2HT9om8d1WRXlmA\nU4flsTDlPQPqUhm0Z3XmCz8bsvkcbjryYlx10Fn44OEX2Dlvd+c+L6x7rWA9vM10qNUCO1M/ZT59\nwtXmWMJIE+bqp2Y6+l/nuj5KXimrTubXvvj5q5UUVApCpaSDzm/nJ1Y/h7ZsB+pSGew7aQ4A4J9v\nv6pbCQQBHrv+3kSlv3KNjq+d/fHKdhrAGya1qDcV535+2R0IKMDRd7+vptvhSWh7tgNHmrx+Nlwf\nu/7eknnpg9L1RT8ThHLIdaIWGKcTUTTrVh4zZETXd0oQaoyfMlcpp+x5GH72zMOYO253XH/Y+SV7\nJ5bDoZ6hc+MRF9l+mbUiqf6rmNrsXe/5MIaaeufrDzsPx846IBK5SgcpvNOyGQ3pevscyeZzyKTS\ntp8X15t3Nwskrsh4wOS5tjwhk0rj3ZYtCEwJTmeMMi1MFk6ajWeMiBdQ28wiMa6qhFLKNkAt9oP5\nhXSCUG3KSc1pM42C//76M9a4+tAv70AmTCMIgqIS6uWq6nTFg738zecAwD7UewP2/NVSFRGATXfs\nyHUUyJ5XIl8vCF2BnSjlMrl5HMaWMJxOnH1I2XUPgtA/0c/n+nTGZntUi4sWnVjV9ZVLsajSIZ7h\nN6V5PKY0j49kXIVGkTifKu514bTA7rYLYeOKa47njpuBux65D4BO71ux9uWy11VnnJYN6Xrst9ue\n+PrffwqgtplFkhZYJQ6aMg/77bYXgMLif26CJpKuQi3hyFW5ESC+Htdte9c2Fo7zoSMuMutsLPis\n2jTV134bndFTqYntuc7rLxtikSqJfAvdpdwaBWZk4zA89L67in5+xIxFuOPUG6qxa4Ig9BCVCFSl\nYjVXQPHWDICrw+yus3CGcUT6aXwsrpEpowTCh7M+iMg2SQeA6SMndWsfSyHGVZXYf/JcnLfPsQBc\n81JmV+z9IZSmN6KUtnapTC9yXJ416XtTTTpFTzgG+oL3u6MHRGduOvJiXL7/qahP1eHEOcVTQnpS\nDEUYGLyycbVcV4JQEbugU6uCR4CfBsktN1hsIgmeh1QqvR7n2Fla1GmCqTUeUteIfz/uqi6te+ig\nwXj6Qz8seP+4WQd2ax9LIWmBVYQVWDpiF14tG5UJfZPPnPgBHPO1a3p0m++ZdxSeXvsSLlhwfFnL\nx50ASR7t6SMmlkwLqgZHztgXD698vKbbKBdO7a0l3E8EAP7jhA8UXS5u0JbqQC8I5XDaXkf09i4I\ngtDLdKe1yqB0HXZ2tJVc5meX3o6GTPVqhH91+RcxrmkkHlm1AkDXnL3+d5Zd9Bk01TdKWmB/oz0b\nNa7mjJ0m3sIBRm+ID7DS3HkLjitr+ZmxxphJtRjjh44qmRZUDT581NKarl8QBM3EYWNqqpAlCLsa\nc8ftjluWvLe3d6Oq7DF6Cj5ewTF95KhL7Ov4/DYJVritFrsNH4t0mLLtjrrraJw9ZqqNiNUKMa5q\nQLye4j1zj8JTCSFJYdelqb6xxxsscuSpVN3QTUdebF+zWl38+z3NuKaR/aoZZU8xfcRE27w1Haaw\n2/CxvbxHgiAIA4t0mMKZey/u7d2oKukwhbMqOKZpXt/JeMZLrWhuaLLtSpiUSTmMKwn2RSQtsAb0\nRN2GICTx8NVfLxmOH1o/uOhntWqgK3SNr551s/XQ/eHqr5fVx6yanDTnUDzw3J97dJuCIAhC32Lc\nkJE9vs2GTD0eeO+XIu9x5Ko/lNrIbKoGdJShBCYItaDZ66uWxPGzDy76WX2qruhnQs8zKF1nDeXB\ndQ09LtX+scWX4SdLP9ej2xQEQRD6FrsNH9snsktSRhGZVQP7MmJc1YAtO7f39i4IQiJxRb5PH3+1\nfd3d5oi7AgdOmdfbu9BnaMwMwu6jduvt3RAEQRAEq3IYL2noi0haYA14+Z03ensXBKEkxxoJ0v7w\nkOpJPnjYBZ1G/wRBEARB6FnyeZ0O2B96xkrkShAGIIeaTuyDy2w4PFCYNXpySXl0QRAEQRB6nv5g\nVDF92rgiouOI6EUiWklEH0n4vI6IfmQ+f5SIpniffdS8/yIRHduT+y0IfR1fynTFjcv6RD61IPRX\nZKwSBGGgcdKcQ3t0e93pz9XT9Nm0QCIKAdwFYAmA1QAeJ6JfKqWe8xa7HMAmpdQMIjoXwG0AziGi\nOQDOBbAngPEA/o+IZiqlcj17FILQNxmUFvEKQagGMlYJgjBQ8B2xt55wDW494Zoe23Y1GxPXmr4c\nudoPwEql1KtKqXYAywCcGlvmVADfNa9/AuBo0nHDUwEsU0q1KaVeA7DSrK/m1PewopcgVMqvLv8i\njp7ZI7eDIAwE+uVYJQiC0J+YMXISfvv+/wIAjGwc1st7U5o+G7kCMAHAm97fqwHsX2wZpVSWiLYA\nGGHe/3vsu4kto4noSgBXAsBuu3VfGetHF3+2292jBaGWSDNaQagqNR+rqj1OCYIg9EdGD24GANxz\n3ifRlu3o5b0pTl+OXPUISqmvK6UWKaUWjRo1qtvrm9I8HlNHJNpxgiAIglAx1R6nBEEQ+jOTho3F\njJGTens3itKXjas1APwzN9G8l7gMEaUADAWwsczvCoIgCEJ3kbFKEARBsPRl4+pxALsT0VQiykAX\n/f4ytswvASw1r88E8Hulc/J+CeBco9A0FcDuAB7rof0WBEEQBg4yVgmCIAiWPltzZfLSPwDgIQAh\ngG8rpf5JRP8OYLlS6pcAvgXge0S0EsC70IMazHL3AXgOQBbANaK+JAiCIFQbGasEQRAEHxLxBcei\nRYvU8uXLe3s3BEEQBjRE9IRSalFv70dfRMYpQRCE3qfUONWX0wIFQRAEQRAEQRD6DWJcCYIgCIIg\nCIIgVAExrgRBEARBEARBEKqAGFeCIAiCIAiCIAhVQIwrQRAEQRAEQRCEKiDGlSAIgiAIgiAIQhUQ\n40oQBEEQBEEQBKEKiHElCIIgCIIgCIJQBcS4EgRBEARBEARBqAKklOrtfegzENEGAK93YxUjAbxT\npd3pj8jxy/HL8Q9cqnn8k5VSo6q0rl0KGaeqwkA/B3L8A/v4ATkH1Tj+ouOUGFdVhIiWK6UW9fZ+\n9BZy/HL8cvxy/L29H0Jp5HeScyDHP7CPH5BzUOvjl7RAQRAEQRAEQRCEKiDGlSAIgiAIgiAIQhUQ\n46q6fL23d6CXkeMf2MjxD2wG+vH3F+R3knMgxy8M9HNQ0+OXmitBEARBEARBEIQqIJErQRAEQRAE\nQRCEKiDGVRUgouOI6EUiWklEH+nt/akVRPRtIlpPRM967zUT0W+J6GXz/3DzPhHRneac/IOIFvTe\nnncfIppERA8T0XNE9E8ius68PyCOHwCIqJ6IHiOiFeYc/Jt5fyoRPWqO9UdElDHv15m/V5rPp/Tm\n/lcDIgqJ6CkiesD8PWCOHQCIaBURPUNETxPRcvPegLkH+jsDYawayOMUIGMVIGMVI+NV741XYlx1\nEyIKAdwF4HgAcwCcR0RzenevasY9AI6LvfcRAL9TSu0O4Hfmb0Cfj93NvysB3N1D+1grsgA+pJSa\nA+AAANeY33mgHD8AtAE4Sim1N4D5AI4jogMA3AbgP5VSMwBsAnC5Wf5yAJvM+/9pluvvXAfgee/v\ngXTszJFKqfmejO1Augf6LQNorLoHA3ecAmSsAmSsYmS86q3xSikl/7rxD8CBAB7y/v4ogI/29n7V\n8HinAHjW+/tFAOPM63EAXjSvvwbgvKTldoV/AH4BYMkAPv4GAE8C2B+6EV/KvG/vBwAPATjQvE6Z\n5ai3970bxzzRPIyPAvAAABoox+6dg1UARsbeG5D3QH/7N5DGKhmnIudCxqoBNlaZ45DxqhfHK4lc\ndZ8JAN70/l5t3hsojFFKvWVevw1gjHm9y54XEzLfB8CjGGDHb9IMngawHsBvAbwCYLNSKmsW8Y/T\nngPz+RYAI3p2j6vKFwH8C4C8+XsEBs6xMwrA/xLRE0R0pXlvQN0D/ZiB/HsMyGtUxqoBO1YBMl4B\nvThepbr6RUGIo5RSRLRLy08S0WAA9wO4Xim1lYjsZwPh+JVSOQDziWgYgJ8B2KOXd6lHIKKTAKxX\nSj1BREf09v70IocopdYQ0WgAvyWiF/wPB8I9IPS+IhOHAAAF5klEQVRvBso1KmPVwByrABmvPHpt\nvJLIVfdZA2CS9/dE895AYR0RjQMA8/968/4ud16IKA09WP1AKfVT8/aAOX4fpdRmAA9DpxYMIyJ2\n1PjHac+B+XwogI09vKvV4mAApxDRKgDLoFMtvoSBcewWpdQa8/966AnLfhig90A/ZCD/HgPqGpWx\nyjEAxypAxisAvTteiXHVfR4HsLtRYckAOBfAL3t5n3qSXwJYal4vhc7v5vcvNgosBwDY4oVi+x2k\n3X7fAvC8UuoO76MBcfwAQESjjBcQRDQIOo//eeiB60yzWPwc8Lk5E8DvlUlm7m8opT6qlJqolJoC\nfY//Xil1AQbAsTNE1EhEQ/g1gGMAPIsBdA/0cwbyWDVgrlEZqwb2WAXIeAX0gfGqtwvOdoV/AE4A\n8BJ0Tu/Nvb0/NTzOHwJ4C0AHdD7q5dB5ub8D8DKA/wPQbJYlaGWqVwA8A2BRb+9/N4/9EOj83X8A\neNr8O2GgHL85pnkAnjLn4FkA/2renwbgMQArAfwYQJ15v978vdJ8Pq23j6FK5+EIAA8MtGM3x7rC\n/PsnP+sG0j3Q3/8NhLFqII9T5phkrJKxyj8XMl71wnhFZqWCIAiCIAiCIAhCN5C0QEEQBEEQBEEQ\nhCogxpUgCIIgCIIgCEIVEONKEARBEARBEAShCohxJQiCIAiCIAiCUAXEuBIEQRAEQRAEQagCYlwJ\ngiAIgiAIgiBUATGuBKGXIaJLiGh7L25/OBGtI6LpZS7/GBGdUev9EgRBEPoGMk4JQvlInytBqCFE\n1NkN9l0AVwEYopRa3wO7VAARfR7ASKXUpWUufzKAOwDMUkrla7pzgiAIQk2RcUoQqosYV4JQQ4ho\nrPfnSQC+AWCc995OpdSWnt0rBxE1AFgD4GSl1F/K/E5ovnO5UurXtdw/QRAEobbIOCUI1UXSAgWh\nhiil3uZ/ADbH31NKbYmnWxDRJ4noWSJaSkSriGgHEX2HiDJEdDURvUlEG4noDiIKvO9liOg2IlpN\nRC1E9DgRHdvJLp4AQAF4xFtPmojuJKK1RNRmtvdZ75hyAB4EcF51zpIgCILQW8g4JQjVJdXbOyAI\nQiJTAJwK7UWcAOB+aE/iWwCOAbAHgPugB5v7zXe+A2A6gPMBrIYekH5FRPsqpVYU2c6hAJ5Q0RD2\ntQBOB3AugFUAJgKYFfveYwBu7vLRCYIgCP2dKZBxShAKEONKEPomIYBLTSrGs0T0GwCHA5iglGoH\n8DwRPQLgSAD3myLf8wBMUUq9YdbxFSJaDOB9AK4usp3JANYmvPcSgD+bwewNAH+NLbMWwAQiSiml\nst06UkEQBKE/IuOUICQgaYGC0Dd5I5bjvg7AS2bA8t8bbV4vAEAAniOi7fwPwInQXsJiDALQGnvv\nHgDzAbxERHcR0Yl+Wodhp9lefSUHJQiCIOwyyDglCAlI5EoQ+iYdsb9VkfdC8zowf++bsNzOEtt5\nB8DwyEqVepKIpgA4FsDR0EpRK4hoiae61AygVSnVa9K8giAIQq8i45QgJCDGlSDsGjwF7aEbq5R6\nuMLvXRJ/Uym1DcBPAPyEiO4B8HcAM6DTMABgLwBPdmN/BUEQhIGFjFPCgECMK0HYBVBKvUREPwBw\nDxF9CHpAaQZwBIBXlVI/LfLVhwDcRkQjlFIbAYCIboAuSH4a2rt4PoCt0MXHzKEAflOLYxEEQRB2\nPWScEgYKUnMlCLsOl0IrMX0OwAsAHgBwGIDXi31BKfUMtKLSud7b2wDcZN5/Ejqv/XilVAsAENEE\nAAeZbQmCIAhCucg4JezySBNhQRjgENFxAL4EYI7pDdLZ8p8HMFQpdWXNd04QBEEY8Mg4JfQnJHIl\nCAMcpdRvANwF3SekHNYDuKV2eyQIgiAIDhmnhP6ERK4EQRAEQRAEQRCqgESuBEEQBEEQBEEQqoAY\nV4IgCIIgCIIgCFVAjCtBEARBEARBEIQqIMaVIAiCIAiCIAhCFRDjShAEQRAEQRAEoQqIcSUIgiAI\ngiAIglAF/j+2+FwELO7jowAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1008x432 with 2 Axes>"
]
},
"metadata": {
"tags": []
},
"output_type": "display_data"
}
],
"source": [
"from matplotlib.ticker import FormatStrFormatter\n",
"\n",
"fig = plt.figure(figsize=(14,6))\n",
"aa = plt.subplot(1, 2, 1)\n",
"plt.plot(ts_breath_hp, breath_example_hp, 'seagreen', lw=1, label='_nolegend_')\n",
"plt.title('Headphones Condition', fontsize=14)\n",
"plt.xlabel('Time (s)', fontsize=14);\n",
"plt.ylabel('Chest expansion', fontsize=14);\n",
"\n",
"aa.yaxis.set_major_formatter(FormatStrFormatter('%.2f'))\n",
"bb = plt.subplot(1, 2, 2)\n",
"plt.plot(ts_breath_sp, breath_example_sp, 'seagreen', lw=1, label='_nolegend_')\n",
"plt.title('Speakers Condition', fontsize=14)\n",
"bb.yaxis.set_major_formatter(FormatStrFormatter('%.2f'))\n",
"plt.xlabel('Time (s)', fontsize=14);\n",
"plt.ylabel('Chest expansion', fontsize=14);\n",
"\n",
"fig.savefig(\"breath_exampledata.pdf\", bbox_inches='tight')"
]
}
],
"metadata": {
"colab": {
"collapsed_sections": [],
"name": "HeadphonesSpeakersEMG.ipynb",
"provenance": [],
"toc_visible": true
},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 1
}