272 lines
74 KiB
Plaintext
272 lines
74 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"id": "initial_id",
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"metadata": {
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"collapsed": true,
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"ExecuteTime": {
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"end_time": "2025-02-15T23:38:23.437304Z",
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"start_time": "2025-02-15T23:38:18.283134Z"
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}
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},
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"source": [
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"import matplotlib.pyplot as plt\n",
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"import numpy as np\n",
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"from openbb import obb\n",
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"import pyfinlib\n",
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"import logging\n",
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"\n",
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"# logging.basicConfig(level=logging.DEBUG)\n",
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"\n",
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"# Create our portfolio of equities\n",
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"tickers = ['AAPL','META', 'C', 'DIS']\n",
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"\n",
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"# Set the investment weights (I arbitrarily picked for example)\n",
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"weights = np.array([.25, .3, .15, .3])\n",
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"\n",
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"# Set an initial investment level\n",
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"initial_investment = 1000000\n"
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],
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"outputs": [],
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"execution_count": 1
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2025-02-15T23:38:25.013640Z",
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"start_time": "2025-02-15T23:38:24.301243Z"
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}
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},
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"cell_type": "code",
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"source": [
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"data = obb.equity.price.historical(symbol=tickers, provider='yfinance')\n",
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"data.results[0].date, data.results[-1].date"
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],
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"id": "e5573366e39b2962",
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"outputs": [
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{
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"data": {
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"text/plain": [
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"(datetime.date(2024, 2, 15), datetime.date(2025, 2, 14))"
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]
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},
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"execution_count": 2
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2025-02-15T23:38:25.026860Z",
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"start_time": "2025-02-15T23:38:25.018102Z"
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}
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},
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"cell_type": "code",
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"source": [
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"returns = pyfinlib.util.rates_of_change([i.close for i in data.results if i.symbol == 'AAPL'])\n",
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"portfolio = pyfinlib.Portfolio(\n",
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" [\n",
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" pyfinlib.PortfolioAsset(.25, \"AAPL\", [i.close for i in data.results if i.symbol == 'AAPL']),\n",
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" pyfinlib.PortfolioAsset(.3, \"META\", [i.close for i in data.results if i.symbol == 'META']),\n",
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" pyfinlib.PortfolioAsset(.15, \"C\", [i.close for i in data.results if i.symbol == 'C']),\n",
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" pyfinlib.PortfolioAsset(.3, \"DIS\", [i.close for i in data.results if i.symbol == 'DIS']),\n",
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" ]\n",
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")\n",
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"\n",
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"aapl_portfolio = pyfinlib.Portfolio(\n",
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" [\n",
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" pyfinlib.PortfolioAsset(1., \"AAPL\", [i.close for i in data.results if i.symbol == 'AAPL'])\n",
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" ]\n",
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")\n",
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"VaR_historical = aapl_portfolio.value_at_risk_percent(0.05)\n",
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"VaR_historical_10 = aapl_portfolio.value_at_risk_percent(0.1)\n",
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"VaR_historical, VaR_historical_10"
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],
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"id": "28a68dea99911874",
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"outputs": [
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{
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"data": {
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"text/plain": [
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"(-0.023538456317296196, -0.018062230402611013)"
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]
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},
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"execution_count": 3,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"execution_count": 3
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2025-02-15T23:38:25.157066Z",
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"start_time": "2025-02-15T23:38:25.040525Z"
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}
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},
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"cell_type": "code",
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"source": [
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"# Plot the historical returns and VaR threshold\n",
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"plt.figure(figsize=(10, 6))\n",
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"plt.hist(returns, bins=50, alpha=0.75, color='blue', edgecolor='black')\n",
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"plt.axvline(VaR_historical, color='red', linestyle='--', label=f'VaR (95%): {VaR_historical:.2%}')\n",
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"plt.axvline(VaR_historical_10, color='orange', linestyle='--', label=f'VaR (90%): {VaR_historical_10:.2%}')\n",
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"plt.title('Historical Returns of AAPL')\n",
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"plt.xlabel('Returns')\n",
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"plt.ylabel('Frequency')\n",
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"plt.legend()\n",
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"plt.show()"
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],
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"id": "5ab5e055a23f28ed",
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"outputs": [
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{
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"data": {
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"text/plain": [
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"<Figure size 1000x600 with 1 Axes>"
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],
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"image/png": 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"
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"execution_count": 4
|
|
},
|
|
{
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2025-02-15T23:38:25.798987Z",
|
|
"start_time": "2025-02-15T23:38:25.794344Z"
|
|
}
|
|
},
|
|
"cell_type": "code",
|
|
"source": [
|
|
"value = portfolio.value_at_risk(0.01, 1_000_000.)\n",
|
|
"value"
|
|
],
|
|
"id": "aa1bd5ee47522592",
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"1001159.1538127009\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"-1159.1538127008826"
|
|
]
|
|
},
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"execution_count": 5
|
|
},
|
|
{
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2025-02-15T23:38:26.675900Z",
|
|
"start_time": "2025-02-15T23:38:26.593243Z"
|
|
}
|
|
},
|
|
"cell_type": "code",
|
|
"source": [
|
|
"# Calculate n Day VaR\n",
|
|
"var_array = []\n",
|
|
"num_days = int(15)\n",
|
|
"for x in range(1, num_days+1):\n",
|
|
" var_array.append(np.round(value * np.sqrt(x),2))\n",
|
|
" print(str(x) + \" day VaR @ 95% confidence: \" + str(np.round(value * np.sqrt(x),2)))\n",
|
|
"\n",
|
|
"# Build plot\n",
|
|
"plt.xlabel(\"Day #\")\n",
|
|
"plt.ylabel(\"Max portfolio loss (USD)\")\n",
|
|
"plt.title(\"Max portfolio loss (VaR) over 15-day period\")\n",
|
|
"plt.plot(var_array, \"r\")"
|
|
],
|
|
"id": "ddeb6ada3ab526b5",
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"1 day VaR @ 95% confidence: -1159.15\n",
|
|
"2 day VaR @ 95% confidence: -1639.29\n",
|
|
"3 day VaR @ 95% confidence: -2007.71\n",
|
|
"4 day VaR @ 95% confidence: -2318.31\n",
|
|
"5 day VaR @ 95% confidence: -2591.95\n",
|
|
"6 day VaR @ 95% confidence: -2839.34\n",
|
|
"7 day VaR @ 95% confidence: -3066.83\n",
|
|
"8 day VaR @ 95% confidence: -3278.58\n",
|
|
"9 day VaR @ 95% confidence: -3477.46\n",
|
|
"10 day VaR @ 95% confidence: -3665.57\n",
|
|
"11 day VaR @ 95% confidence: -3844.48\n",
|
|
"12 day VaR @ 95% confidence: -4015.43\n",
|
|
"13 day VaR @ 95% confidence: -4179.39\n",
|
|
"14 day VaR @ 95% confidence: -4337.16\n",
|
|
"15 day VaR @ 95% confidence: -4489.38\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[<matplotlib.lines.Line2D at 0x15345cd10>]"
|
|
]
|
|
},
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
],
|
|
"image/png": 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M7tPztuh2j4GBQHRT1+/19vgl2aFDB7PxF3iZMmVMQUZXAEWsy8SNsxdXrVplioqyPAFnXt0Oe2j4WrkdBksLFiwwdZoYePNLlnWbXPgFyh4FBnOefx/O2IoJvpY//PBD02a+tiP/jTnl3/Nvd6fnMnK5A+6L/HdmLwqfR17G9xADNM/HxACC+Fgjz050Gt9n7KlhDSkXz5m5xJlrxMft6k3zFPk1x5ms/AHFvyF/cHk+91FhHS/2JP72228myGFbXPd5J3w/svfU1esU1WcFn3/2sPH1G5vBUUw/g/g/e3wjf6ZFdV3xnobwxDH85cthOA5/eH7oR8ZeAL75Pach84N3zpw5txzLL0F+kbCuT48ePczQDb/QXB9sd3Ly5EnTO+LCKddffPGF+fXO4QZXbwOHB1lDyIVDVBMmTDAfnCx9cCeugILBT0zwPonBoCcWZyQOWcYUAxg+Hg5Xed4/P2jZ4+O6r9i+Pf79Ig8X8dc5e1Jc06r5fLMUgScGUuxBvNPU60qVKpleHs8hQU/sWWKAwV5MBlHsJfKsj+Uq6ug5DMjp/55/5+iwplnXrl1N6YaoyhWwF4SlOKLD6et8Thgsej5etpe3G/nvzHIPbDfrXHH4jj0qnsEqSyHwS5xlDzhkFFlU0/jjQlT3w/c+97O8gguDPM/N1SPF1xB/aPF953mbkXt2ovobsjwF/+ZRYdDOAJ+9dizk623v08cff+w+zfvkefaOu9IG2OPK1z3LKETG13lM3/+RxfQziMfxM82z5AuHmXmcxIJYyKMS8TqJPDqRk8g5DZvX4/R+Jn4yKZszlVxTcV1Onz5tEpY5m8+VNPnnn3+aWVSccXO75N7blTHgdG9XGQPPmTGuKcRMDuWUZR7HJGMmrEdVxiCqGWVM/uaUdybGTp482SSdsv23SyJ37eftcYo2p5e7zt9LGQMmJnPWWP/+/d3TxJnIHZ27vT3OaOPjYrs57XrChAnmsfC2OL2eZs+ebd13331mlhETqUeNGmVm0DFBe/Xq1dG2i38XtsE1qy4qLKPgSvpmmz1NnDjR7H/66afNbfA1wNdC8eLFzWvjTmUMXDPA+BqMnPDMWXq8TkwmNLjeJ5whxkTxnj17mhlknmUMPDFxnjNaI88g9Xwdcho7Z6MyyZvPO/9n+QZOvXdxJZG7ZpDFBGf7DRgwwLSR1+V7j+e5eZad4CSRFi1amL8zX7uc6cf3C983MZkswIkKLFFxpzIGfL/zGP69eF98nXEGLaf43y5pmrMDeRnfj7yfmPAsY8DJCHxMrjIGLE0SeQYg99epU8d8VnAGMmchcsKK52dDdJNnblfG4E6fQa4Zd2wrJzGojEHsUgAlCT6Aos8//9x8WHHWEL+keVuuD3yXZ5991nyRRK4X9P3335vjWHMoJve7cOFC8wHjuq+oAiDWZmI9Jn7B8sOJM2Ii16SKLoAizjpkiQN+cHt+mN0ugLp+/boJHjlThwEFZwvxi8tzanZMAyjil3mVKlXMl1vatGlNPabIs/yicre3xxIB3bp1M19m/DvxMfK054wzBlssGZA/f37zvLIkBb+UYzqTksFPjRo1bnv53LlzTds5MylyQM2gm7Md+Trg355fvPyb8u8R0wCK+AUf+cuJX14MYO40u8vl22+/NffPdvA5YM2k48eP3/Z1xPvjc+pZ+iByeQi+PxiE8Db5eBi88sfJvQRQfJ1FNSMx8uPnbDPWl2Ib+drllzqfE86SiynWdOP98XXBIJtBGj8XIs/CW7lypQlg+TpkkMKZkXxP3y5gcJV+4Iy1mHK9R/k5wOsxwGVAw+cwqh9qDFoZuLBNfA74w4zt8gzYvAmgYvoZ5KoZxvcF28jgnsGbq4yCAqh7k4j/xEZPloivY9d3iRIlzEwc8U2ccMD1BZkLEtWsLSdwKI6vLQ4pd+rUyenmSCRbtmwxQ9Acqm/atGmMrsPEdg6LRTUsKoFDOVAi4jc4K+2xxx4z5RISCk52YF5M+/btnW6KROHTTz81+ZhRzZwUiY5m4YmIX2HCdULCwEnBU8LDUhYsc8KEapaf8GbmqQgpgBIRkYDTsWNHUwaEM9Xeffddp5sjPkg5UCIiIiL+mgPFQnusocI6LrerWM0qvKyTwmNYS4XVhCPXlGGhNRbuY0FGlrifPHnyLbfDSsVM+mSNmIoVK0aoPSIiIiLiMwEUi6Fx7adXXnklystZrIzBE49j5WIW9WNwxBL9ntVoeQyXWti8eTM6d+6M1q1bmwrXLizCyKrVrD7MwncPPPCAWY8r8ppFIiIiErh8bgiPQREDn8gVXJk4yiq8rLoaEhJi9rGaL9c/YsXaoKAgc5oLf7JCsgsrVfO2uMQDscepfPny7gqzLNfP9Zo4Xs5pyDHB67AdadKk8fm1y0RERAKFZVlmKTCukHCnNVT9JomcJe255IMreCL2HLHHiqtzc40jHhN5PSgew4CM2Hu1YcMGs36aC59AXie65RxY58Vz2YUTJ07EaDkPERERSXiOHTsW7eLlfhVAnTp1KkLwRK7zvCy6Y7j+1pUrV8w6WhwKjOoY1yKNUeGitVHN4uAfgIt4ioiISMLHeICjThxBuhNHAygOiXERx+hwAU2usp6QsceKeVOR/wAMnhRAiYiI+JaYpN84GkBx5XKWxI9Ovnz5YnRboaGht8yWY40P12Wu/137PI9hkJMiRQqzkje3qI5x3UZUOKOPm4iIiAQGRwOoLFmymC02VKpUyZQ64Gw5ljCgxYsXm+DIlY/EY+bNmxfhejyG+4mJ5mXLlsXSpUtRv359d0I4z7NSrYiIiIhPlTFgjSeWHuD/zFPiaW6uxRy5/hUDJS4GycUhWZqgV69eePXVV929Q1xO4eDBg+jevbvJaRo7diymT5+ON954w30/HIrj2kgsg8DhQyahX758GS+//LJjj11EREQSGMtHNG/enOUWbtmWL1/uPubw4cNWnTp1rBQpUliZM2e2unbtal2/fj3C7fD4UqVKWUFBQVa+fPmsSZMm3XJfo0ePtnLlymWOqVChgrVmzRqv2hoWFmbaxv9FRETEN3jz/e1zdaB8AZPI06VLh7CwMCWRi4iI+OH3t88M4YmIiIgkFAqgRERERLykAEpERETESwqgRERERLykAEpERETESwqgRERERLykAEpERETESwqgfM2SJcCVK063QkREJKApgPIlPXoAtWoBffo43RIREZGApgDKl1SpYv//wQfA6tVOt0ZERCRgKYDyJU89BTRtCoSHA1zcWEN5IiIijlAA5WtGjgRCQ4E9e4B+/ZxujYiISEBSAOVrMmYEJkywT7//PrBmjdMtEhERCTgKoHx1KK9Jk/+G8v75x+kWiYiIBBQFUL7qo4+AkBBg924N5YmIiMQzBVC+PJQ3frx9evhwYN06p1skIiISMBRA+bJ69YAXX9RQnoiISDxTAOXrRo2yh/J27gTefdfp1oiIiAQEBVC+LlMmYNw4+/SwYcBvvzndIhEREb+nAMof1K8PNG5sD+W1aAFcvep0i0RERPyaAih/GsrLmtUeyuvf3+nWiIiI+DUFUP4ic+b/hvKGDgXWr3e6RSIiIn5LAZQ/eeYZ4IUXgJs3NZQnIiIShxRA+ZvRo4EsWYAdO4ABA5xujYiIiF9SAOWPQ3mffGKfHjIE2LDB6RaJiIj4HQVQ/qhBA6BRo/+G8q5dc7pFIiIifkUBlL/6+GN7KG/7dg3liYiIxDIFUP6KwdPYsfbpwYOBjRudbpGIiIjfUADlz557DmjYUEN5IiIisUwBVCAM5TGxfNs24L33nG6NiIiIX1AA5e9YnXzMGPv0oEHApk1Ot0hERMTnKYAKBJyRx+G8Gzc0lCciIhILFEAFCvZCZcoEbN1q90SJiIjIXVMAFYhDecyF2rzZ6RaJiIj4LAVQgTaU9+yz/w3lXb/udItERER8kgKoQJIokV0bikN5W7bY9aFERETEawqgAk1IiF3agFihnIGUiIiIeEUBVCB6/nngmWc0lCciInKXFEAF8lBexox2MvmQIU63SERExKf4TAD13nvvoXLlykiZMiXSp08f5TGJEiW6ZZs2bVqEY37++WeUKVMGwcHBKFCgACZPnnzL7YwZMwZ58uRB8uTJUbFiRaxbtw5+JzQUGD36v6E8ljcQERER/wqgrl27hoYNG+KVV16J9rhJkybh999/d2/169d3X3bo0CHUrVsX1atXx+bNm9G5c2e0bt0aCxcudB/z7bffokuXLujbty82btyIBx54ALVr18aZM2fgdxo3Bvj8cAjv5Zc1lCciIhJDiSzLsuBD2GPEwOf8+fO3XMYep9mzZ0cImjy99dZbmDt3LrZv3+7e98ILL5jbWrBggTnPHqfy5cvj438TrcPDw5EzZ0507NgRPXr0iFEbL1y4gHTp0iEsLAxp06ZFgnbqFFCsGHDunN0T1auX0y0SERFxhDff3z7TAxVTr776KjJnzowKFSpg4sSJ8IwPV69ejZo1a0Y4nr1L3O/q5dqwYUOEYxInTmzOu46JytWrV82T7rn55FBe//72osMiIiISOAFU//79MX36dCxevBgNGjRAhw4dMNoVHJjOllMI4TR+DzzPgOfKlSv4888/cfPmzSiP4XVvZ/DgwSZidW3ssfIpL74IPP20PYSnWXkiIiIJO4DikFhUid+e2+7du2N8e71790aVKlVQunRpM1zXvXt3DB8+HHGtZ8+eprvPtR07dgw+Nytv3DggQwZg40YgHp4zERERX5bUyTvv2rUrWrDHIxr58uW769tnPtOAAQPMEBtn3YWGhuL06dMRjuF5jnOmSJECSZIkMVtUx/C6t8Pb5ubTsmUDRo0CmjYF+vWze6RKlHC6VSIiIgmSowFUlixZzBZXONMuQ4YM7uCmUqVKmDdvXoRjONzH/RQUFISyZcti6dKl7kR0JpHz/GuvvQa/99JLwPTpwI8/2rPymPeV1NGXiIiISILkM9+OR48exdmzZ83/zFNicESs5ZQ6dWr8+OOPpqfowQcfNPWbGBgNGjQIb775pvs22rdvb2bXcWivZcuWWLZsmcmZ4sw8F5YwaN68OcqVK2cS0UeOHInLly/jZQYU/s41lPfrr8D69fZQXs+eTrdKREQk4bF8RPPmzTmd7pZt+fLl5vL58+dbpUqVslKnTm2lSpXKeuCBB6xx48ZZN2/ejHA7PJ7HBQUFWfny5bMmTZp0y32NHj3aypUrlzmmQoUK1po1a7xqa1hYmGkb//dJU6Zw7qJlBQVZ1vbtTrdGREQkXnjz/e1zdaB8gU/VgYoKXxLMgfrpJ6B8eWDVKg3liYiI37sQyHWgJJaG8saPB7hkzm+/ASNGON0iERGRBEUBlEQte3Zg5Ej7dJ8+wM6dTrdIREQkwVAAJbfXrBnwxBMs0W7Pyrtxw+kWiYiIJAgKoCT6obwJE4B06YB164APPnC6RSIiIgmCAiiJ3n33RRzK27XL6RaJiIg4TgGU3Fnz5kCdOlw12R7Ku3nT6RaJiIg4SgGUxHwoj1M6164F3n/f6RaJiIg4SgGUxEyOHMCHH9qn334biLQkjoiISCBRACUxx+E7buHhQKNGwKZNTrdIRETEEQqgxPsCmzVrApcvA3XrAseOOd0qERGReKcASryTLBkwcyZQvDjw++92naiwMKdbJSIiEq8UQIn3WBeKOVChocD27UDDhsD16063SkREJN4ogJK7kyuXvdhwypTA4sVAhw72IsQiIiIBQAGU3L2yZYFp04DEiYHPPgOGDHG6RSIiIvFCAZTcm6eeAkaN+q+8wdSpTrdIREQkzimAknv36qtAly726RYtgF9/dbpFIiIicUoBlMSO4cOBZ54Brl0D6tcH9uxxukUiIiJxRgGUxA7mQX31FVChAnD2rF3e4I8/nG6ViIhInFAAJbGHM/J++AHImxc4eBCoVw+4csXpVomIiMQ6BVASu0JC7BpR6dMDq1cDzZrZS7+IiIj4EQVQEvuKFAHmzPmvanmPHk63SEREJFYpgJK4Ua0aMHHifwnmn3zidItERERijQIoiTtNmgD9+9unX3vNHtoTERHxAwqgJG716mXXhmIeVKNGwKZNTrdIRETknimAkriVKBEwfjxQowZw+TLw5JPAsWNOt0pEROSeKICSuBcUZCeTFy8OnDwJ1K0LXLjgdKtERETumgIoiR8sazB3LhAaCmzbBjRsCFy/7nSrRERE7ooCKIk/uXMDP/1kF9xctAjo0AGwLKdbJSIi4jUFUBK/ypYFpk2zl3757DNg6FCnWyQiIuI1BVAS/556CvjoI/t0z552QCUiIuJDFECJM1gX6o037NPNmwMrVjjdIhERkRhTACXOYYXyZ54Brl2zFx7eu9fpFomIiMSIAihxTpIkwFdfARUqAGfPAk88Afzxh9OtEhERuSMFUOIszsj74QcgTx7gwAG7J+rKFadbJSIiEi0FUOK8kBB7nTzWilq92s6J4tIvIiIiCZQCKEkYihYFZs8GkiUDZsywZ+eJiIgkUAqgJOF45BFg4kT79LBhwLhxTrdIREQkSgqgJGFp0gR491379Kuv2kN7IiIiCYwCKEl4evf+Lw/q+eeBzZudbpGIiIjvBVCHDx9Gq1atkDdvXqRIkQL58+dH3759cY31gzxs3boVDz30EJInT46cOXNiGIeBIpkxYwaKFClijilZsiTmRerhsCwLffr0QbZs2cx91axZE/v27YvzxygeEiUCJkwAHn0UuHQJqFsXOH7c6VaJiIj4VgC1e/duhIeHY/z48dixYwc+/PBDjBs3Dm+//bb7mAsXLuCxxx5D7ty5sWHDBgwfPhz9+vXDBH4R/2vVqlVo3LixCcY2bdqE+vXrm2379u3uYxh0jRo1ytz+2rVrkSpVKtSuXRv//PNPvD/ugBYUBMyaBRQrBpw8aQdRFy443SoREREjkcUuFx/EAOmTTz7BwYMHzXmefuedd3Dq1CkE8csXQI8ePTBnzhwTgNHzzz+Py5cv46effnLfzoMPPohSpUqZgIlPRfbs2dG1a1e8+eab5vKwsDCEhIRg8uTJeOGFF2LUNgZz6dKlM9dNmzZtHDz6AHLkCP9IwKlTQO3awI8/2jP1REREYpk3398+0QMVFT64jBkzus+vXr0aDz/8sDt4IvYc7dmzB+fOnXMfwyE5TzyG++nQoUMmAPM8hk9kxYoV3cdIPMud2w6aWHBz4UKgQweOszrdKhERCXA+GUDt378fo0ePRrt27dz7GPiwp8iT6zwvi+4Yz8s9rxfVMVG5evWqiVo9N4lF5coBU6fauVGffQYMGeJ0i0REJMA5GkBxiC1RokTRbq7hN5cTJ07g8ccfR8OGDdGmTRskBIMHDzY9Va6NCewSy55+GvjoI/s0c99GjHC6RSIiEsCS3s2Vjh49iiNHjuDvv/9GlixZULx4cQQHB3t9O8w1atGiRbTH5MuXz3365MmTqF69OipXrhwhOZxCQ0Nx+vTpCPtc53lZdMd4Xu7ax1l4nscwT+p2evbsiS5durjPswdKQVQc6NiRfwzgvfcA5qhdvWoHUyIiIgk1gGIpASZqT5s2DcePHzcJ1y7MO2L5gLZt26JBgwZInDhmHVsMvrjFBHueGDyVLVsWkyZNuuU+KlWqZJLIr1+/jmT/JhkvXrwYhQsXRoYMGdzHLF26FJ07d3Zfj8dwP7FMAoMoHuMKmBgMcTbeK6+8ctu2MXi8mwBS7sLAgXzCgT59gHfeAVjKom9fe3hPREQkvlgx0LFjRytt2rRWw4YNrS+++MLavXu3deHCBev69evW6dOnraVLl1r9+vWzihQpYhUvXtxat26dFZuOHz9uFShQwKpRo4Y5/fvvv7s3l/Pnz1shISFW06ZNre3bt1vTpk2zUqZMaY0fP959zMqVK62kSZNa77//vrVr1y6rb9++VrJkyaxt27a5jxkyZIiVPn166/vvv7e2bt1q1atXz8qbN6915cqVGLc3LCyM0aX5X+LIkCEM4e2tRw/LCg93ukUiIuLjvPn+jlEA1aNHD+vPP/+M0Z3Pnz/fmjVrlhWbJk2aZB5QVJunLVu2WFWrVrWCg4Ot++67zwRDkU2fPt0qVKiQFRQUZIK9uXPnRrg8PDzc6t27twnGeDsM2vbs2eNVexVAxZMPPvgviHrjDQVRIiJyT7z5/vbZOlAJmepAxaOxY+0184j/jxoFxHAIWURE5G6/v+8qifzPP/80OVGcJZcnTx5kypTpbm5G5N6xLhRrf7VtC4wZYyeWjx+vIEpEROKUV98yXEaFxSpZF4nFJStUqICsWbPi0UcfNQUrRRzRujUwebIdNLFO1MsvAzdvOt0qERHxYzHugWIhyWrVqplZcx988IFZkJejfzt37sSnn35qZuFxTTkGVCLxrlkzuyeqSRPgiy/s2Xn8X8u+iIhIHIhxDtRbb72FJUuWYOXKlUiePHmEy65cuYKqVauaxXxZVDLQKQfKQd99B3DNwuvXgWeftSuYeyzvIyIiEq9r4bFeEoOoyMETpUiRAt26dcNCrlUm4iQGTQyiGDTx/+ees/OiREREYlGMA6iDBw+iTJkyt728XLly5hgRxz35JPDDDwCDfS5EXK8eu0mdbpWIiARiAHXx4sVou7PSpEmDS5cuxVa7RO5N7drA3LlAypQAe0YZVF2+7HSrREQkEGfhMYji+ODtNpWUkgTl0UeBBQuA1KmBZcuAOnX4Ina6VSIiEkhJ5Fx7jnWfboc3w8tvavq4ksgTmtWrgccf5x+GCyIC8+cD6dI53SoREQmEQprLly+PjbaJxD8GTUuXAo89ZgdTNWvaw3oZMzrdMhER8VFayiUOqAcqgdq8GahVi6X0gVKlOLUUyJzZ6VaJiIg/lzG4ceMGrkaaDn769Gm8++676N69O1asWHH3LRaJDwya2JMaEmIHU488whex060SEREfFOMAqk2bNnj99dcjJJSXL18eY8aMMfWfqlevjnnz5sVVO0ViR4kSwM8/A9mzc20ioFo14MQJp1slIiL+GkCxAnmDBg3c57/44guTML5v3z5s2bIFXbp0wfDhw+OqnSKxp0gR4JdfgJw5Aa7hyCDq6FGnWyUiIv4YQJ04cQIFCxZ0n1+6dKkJqDhWSM2bNzeLDYv4hAIFgP/9D8ibFzhwwA6iDh1yulUiIuJvARSXcOGady5r1qxBxYoVI1yuQpriU/LksXui+MPg8GHg4YeBffucbpWIiPhTAFWqVCl8+eWX5vSvv/5qEsgfZaHCfx04cADZmVci4ks4jMcgisN6x4/bPVG7djndKhER8ZcAqk+fPvjoo4+QP39+1K5dGy1atEC2bNncl8+ePRtVqlSJq3aKxB2+jplYzgTz33+3Z+dt3+50q0REJAGLcSHNatWqYf369Vi8eDFCQ0PRsGHDW3qoKlSoEBdtFIl7LG3AEgesE+UqccA6UaVLO90yERFJgFRIMw6okKYPO3fOXoj4t9+A9OmBRYuA8uWdbpWIiPjqUi6jRo2Kcj/vqFChQqjE5TJEfF2GDHbP0xNPAKtW2cu+cO28ypWdbpmIiPhiD1ReTveOwvnz502kVrlyZfzwww/IqPXF1APlDy5eBJ56yk4wT5UKYJFYztITERG/FSdLuRw6dCjK7dy5c9i/fz/Cw8PRq1ev2Gi/iPPSpLGDJvZAXb4MPP44sGSJ060SEZEEIsYBVHTy5cuHIUOGYBHzRUT8RcqUwI8/AnXqAKyB9uST9nCeiIgEvFgJoChXrlw4depUbN2cSMKQPDlrdAD16gFcTLt+feCHH5xulYiI+EsAtW3bNuTOnTu2bk4k4QgOBmbMAJ57Drh2DeCakBMnOt0qERFxUFJvEquiwkSrDRs2oGvXrmY9PBG/lCwZMHWq3SP11VdAq1bA/v3AwIFA4lj7HSIiIv4WQKVPnx6JEiWK8jLub926NXr06BGbbRNJWJImBb74wl6AeMAAYPBgeyHiyZOBFCmcbp2IiCTEAGo5qzRHgdP8ChYsiNSpU8dmu0QSJv6I6N8fyJ8faNMGmD4dOHoU+P57IGtWp1snIiLxRJXI44DqQAUIrp/37LN29XL2Ss2dCxQt6nSrREQkodSBOspf2F44ceKEV8eL+CSul7d6Net4sFAawGr8y5Y53SoREYkHMQqgypcvj3bt2uE3rg92G4zWPv30U5QoUQKzZs2KzTaKJFyFCwNr1thLvYSF2evoaYaeiIjfi1EO1M6dO/Hee++hVq1aSJ48OcqWLYvs2bOb06xEzst37NiBMmXKYNiwYXiC64iJBIosWYClS4GWLe2ZepqhJyLi97zKgbpy5Qrmzp2LFStW4MiRI+Z85syZUbp0adSuXdv0PolyoAIW30p9+9oz9KhRI83QExHx0+9vJZHHAQVQAW7KFHuG3vXrwIMPaoaeiEggLyYsIjHEgrJcFzJDBjs/ikHUrl1Ot0pERGKRAiiRuJyhx3pRmqEnIuJ3FECJxPUMvSpVNENPRMTPKIASiUuZMwNLlgCNGwM3btgz9N5+GwgPd7plIiJyDxRAicQ1LkD89ddA7972ea6hx4DqyhWnWyYiIvEVQE2ZMsWUMnDp3r27WWi4cuXKprRBXDh8+DBatWqFvHnzIkWKFMifPz/69u2La9euRTiGixpH3tZwCMXDjBkzUKRIEVPDqmTJkpg3b16EyzkpsU+fPsiWLZu5r5o1a2Lfvn1x8rgkANfQ4wy9ZMnsNfQefRQ4c8bplomISHwEUIMGDTKBBa1evRpjxowxxTNZD+qNN95AXNi9ezfCw8Mxfvx4U7Dzww8/xLhx4/A2h0IiWbJkCX7//Xf3xqKfLqtWrULjxo1NMLZp0ybUr1/fbNu3b3cfw8cyatQoc/tr165FqlSpTI2rf/75J04emwSYZs00Q09ExB9YXkqRIoV15MgRc7p79+5W06ZNzent27dbmTNntuLLsGHDrLx587rPHzp0iPWsrE2bNt32Oo0aNbLq1q0bYV/FihWtdu3amdPh4eFWaGioNXz4cPfl58+ft4KDg62pU6fGuG1hYWGmLfxfJEq7d1tW/vwswmZZ6dJZ1tKlTrdIRCTghXnx/e11D1Tq1Knx119/mdOLFi0yy7sQh8RYmTy+sMhVxowZb9n/9NNPI2vWrKhatSp++OGHCJexx4xDcp7Yu8T9dOjQIZw6dSrCMSyoVbFiRfcxUbl69aopvuW5iURLM/RERHya1wEUA6bWrVubbe/eve517zi0lidPHsSH/fv3Y/To0WaBY8/AbsSIESbHiTlaDKA4POcZRDE4CgkJiXBbPM/9rstd+253TFQGDx5sAi3XljNnzlh7rOLHNENPRCRwAijmPFWqVAl//PEHZs2ahUyZMpn9GzZsMPlF3ujRo0eUid+eG/OfPJ04cQKPP/44GjZsiDZcLuNfzMHq0qWL6S0qX748hgwZgiZNmmD48OGIaz179jQ9Yq7t2LFjcX6f4ic0Q09ExCcl9fYKnHH38ccf37L/3Xff9frOu3btihYtWkR7TL58+dynT548ierVq5sZfxMmTLjj7TOYWrx4sft8aGgoTp8+HeEYnud+1+WufZyF53lMqVKlbns/wcHBZhO5pxl6BQoArVvbM/SOHtUaeiIi/tQDtWDBAqxYsSJCjxSDixdffBHnzp3z6rayZMliSgpEtwUFBbl7nh555BEzq27SpElInPjOTd+8eXOEQIg9Z0uXLo1wDAMs7ieWSWAQ5XkM85k4G891jEic0Qw9ERH/DaC6devmTpLetm2b6UViHhQTsDmEFhdcwVOuXLnw/vvvm+FD5iR55iWxPtXUqVPNkB83lluYOHEiOnbs6D6mU6dOJgBkrhSP6devH9avX4/XXnvNXM4hw86dO2PgwIEmd4qPr1mzZsiePbvJpxKJc1pDT0TEN3g7xS9VqlSmZAD17dvXatCggTm9YcMGKyQkxIoLkyZNMtMKo9pcJk+ebBUtWtRKmTKllTZtWqtChQrWjBkzbrmt6dOnW4UKFbKCgoKs4sWLW3Pnzo1wOUsZ9O7d2zwWli+oUaOGtWfPHq/aqzIGcs/++MOyqlSxyxwkTWpZn3/udItERPxemBff34n4jzcBF0sHcAivWLFiZqYbe2jatm1rKoFz399//41Axx46zsZjQnnatGmdbo74KhZvbdkSmDrVPt+zJzBwIBCD4WsREYnb72+vk8gZNHGorkqVKli3bh2+/fZbs58lDXLkyHEXzRWRaGfoMbl8wAB7ht6BA8DkycC/qwGIiIgzvP4pyxl4SZMmxcyZM/HJJ5/gvvvuM/vnz59vyguISDysoRdpNqmIiMQvr4fw5M40hCdx4uefgWefBTjblbNLZ8ywK5mLiEjCH8KjmzdvYs6cOdj17xTr4sWLmyVUkiRJcnctFpGYzdBjeYNnngF27rTPs1Bsp052T5WIiCTcHiguo8KyBSwtUJjreQHYs2ePWb6ES6jk5/TrAKceKIlTly4Bbdv+l1zeqBHw2WdAmjROt0xEJGC+v73OgXr99ddNkMTlSjZu3Gi2o0ePmiKUvExE4ljq1HZy+ejRQNKkdl5UhQoquikikpB7oFKlSoU1a9agZMmSEfZv2bLFzMy7xF/HAU49UBJvWHSzYUNWm+WbE5g40e6REhGRhNUDxTXfLl68eMt+Bk6uZVdEJJ6wUvnGjfbMvMuXgeefBzp3Bq5dc7plIiJ+zesA6sknnzSFM7k+HDuvuLFHqn379iaRXETiGRcc5hp6LLRJH30EVK9u90qJiEjCCKBGjRplcqC4uG7y5MnNxqG7AgUK4CN+cItI/OMM2EGDgDlzgHTpgFWrgDJlgOXLnW6ZiIhfuus6UPv27TML8lLRokVNACU25UCJo/bvBxo0ALZutZd9YWDVvbtKHYiIxOL3twppxgEFUOI4rkn5yivAF1/Y5+vXt5eAYe+UiIjETyFNrn0XUx988EGMjxWROJIypR0wsVJ5x4720F65csCsWcD99zvdOhERnxejAGrTpk0xurFEGiIQSTj4fmTBzdKlgeees4f2HnwQGD8eaNrU6daJiPg0DeHFAQ3hSYLz11/ASy8BCxfa59u3B0aOZF0Sp1smIhIYdaBExAdlygTMnQv07Wv3TI0bBzz0EHD0qNMtExHxSQqgRAIFSx3062cHUhkyAL/9Zpc6YA0pERHxigIokUBTp45dvbxsWXto7/HHgQEDgPBwp1smIuIzFECJBKI8eYAVK+wkc6ZB9unDZQaAs2edbpmIiE9QACUSqJInt2fkTZpkn54/3+6VYu+UiIjEfgB14MABdOzYETVr1jTb66+/bvaJiA9q0QJYvRrIlw84fBioXBn4/HOnWyUi4l8B1MKFC1GsWDGsW7cO999/v9m4sHDx4sWxePHiuGmliMStUqWA9euBp54Crl4FWrcGWrUCrlxxumUiIv5RB6p06dKoXbs2hgwZEmF/jx49sGjRImxU97/qQInvYiI539u9e9unWYRz5ky7d0pExM9diMs6ULt27UIr/jKNpGXLlti5c6e3NyciCQkXH377bbvgZubMXIbAzov66SenWyYikqB4HUBlyZIFmzdvvmU/92XNmjW22iUiTqpZ004m59Iv58/bQ3u9egE3bzrdMhER31kLz1ObNm3Qtm1bHDx4EJWZbApg5cqVGDp0qFeLDotIApczJ/DLL0DXrsDHHwPvvQesXQt88w1/STndOhER38qB4uEjR47EiBEjcPLkSbMve/bs6Natm5mNpwWFlQMlfujrr+2aUX//DeTIAUyfDlSq5HSrREQc+/6+p8WEL168aP5PkybN3d6EX1IAJX5p+3agQQNg7157WRgW32S+VFKvO7JFRAJ7MWEGTgqeRAJEiRL2+nkvvmjnQnFh4mrVgEOHnG6ZiEi8i9FPxzJlymDp0qXIkCGDKWMQ3TCdyhiI+DH+IuNw3hNPAK+8AqxaZdeQGjsWeOklp1snIpKwAqh69eohODjYnK5fv35ct0lEEjoGS5xE0qSJHUTx/3nz7EAqXTqnWyciEufuKQdKoqYcKAkYN27Ys/P697cLb+bObfdQVanidMtERBJuDpSIBDgmkDMX6tdfgbx5gSNHgIcftvcxuBIRCeQeKOY+xbQ8wdmzZxHo1AMlAenCBeC114Avv7TPswgne6O0DIyI+OH3d4xyoFj3SUQkWvyw+eILoE4dO8F8zRo7wZxFOJs2BVQjTkT8iHKg4oB6oCTgcSiPieUrVtjnn38eGDcOSJ/e6ZaJiDhXSPPmzZuYM2eOWViYihcvjqeffhpJWFxPFECJEGtFDRli50PxdK5c9vAec6RERAItgNq/fz+eeOIJnDhxAoULFzb79uzZg5w5c2Lu3LnInz8/Ap0CKBEPXD+PZQ8OHAASJwZ69rSDqmTJnG6ZiEj8zcLjencMko4dO2aKZnI7evQo8ubNay4TEYmgYkVg0yagRQu71AHLHlStyl9jTrdMROSueR1A/fLLLxg2bBgyZszo3pcpUyYMGTLEXBZXOESYK1cuJE+eHNmyZUPTpk3dixm7bN26FQ899JA5hj1ibGdkM2bMQJEiRcwxJUuWxDwW//PADrk+ffqY+0iRIgVq1qyJffv2xdnjEgkIXPJp0iTg22/tPKh164DSpYHJk/mmc7p1IiJxH0CxIrlrEWFPly5dQlBQEOJK9erVMX36dDNcOGvWLBw4cADPPfdchG63xx57DLlz58aGDRswfPhw9OvXDxMmTHAfs2rVKjRu3BitWrXCpk2bTFV1btu5SOq/GHSNGjUK48aNw9q1a5EqVSrUrl0b//zzT5w9NpGA0agRsGWLvYbepUvAyy/bCebnzjndMhER71heatq0qVW8eHFrzZo1Vnh4uNlWr15tlShRwmrevLkVX77//nsrUaJE1rVr18z5sWPHWhkyZLCuXr3qPuatt96yChcu7D7fqFEjq27duhFup2LFila7du3MaT6W0NBQa/jw4e7Lz58/bwUHB1tTp06NcdvCwsL4k9r8LyJRuHHDsgYPtqykSdn/ZFk5cljW8uVOt0pEAlyYF9/fXvdAsXeGOVCVKlUyw2DcqlSpggIFCuCjjz5CfGCxzq+//hqVK1dGsn8TUVevXo2HH344Qi8Ye47YY3Xu31+3PIZDcp54DPfToUOHcOrUqQjHMJmsYsWK7mNEJBZwxm6PHvY6egULAsePA48+aieYX7vmdOtERO4oRgEUh8dc0qdPj++//x579+7FzJkzzcYgZfbs2SbYiEtvvfWWGVJjzhUT19kOFwY+ISEhEY53nedl0R3jebnn9aI6JipXr141z5HnJiIxUL48sHEj0Lq1nQvFsgdcR2/vXqdbJiJy7wEUl3I5c+aMOf3oo4/i/PnzpsfpqaeeMhtP340ePXqYJWKi23bv3u0+vlu3biZ3adGiRabmVLNmzUzSt9MGDx5sgkfXxgR2EYmh1KmBTz8FZs7khw2wfr2dYP7550owF5EEK0ZLuaROnRp//fUXsmbNip9//hnXr1+PlTvv2rUrWnBqczTyeayjlTlzZrMVKlQIRYsWNYHKmjVrzHBiaGgoTp8+HeG6rvO8zPV/VMd4Xu7ax1l4nseU4pIUt9GzZ0906dLFfZ49UAqiRLzUoIFd8qB5c2DZMrtXav58gBNBPGb9ioj4TADFnCDOgmPQQs8888xtZ9wt4wdfDGXJksVsdyOc9WT+HT4jBlHvvPOOCe5ceVGLFy82xT7Zg+Y6ZunSpejcubP7dngM9xNrWTGI4jGugInBEGfjvcK1vaKZmchNRO5Rjhx8UwIjRgDvvAPMmmWvqcc19pgjJSLiSwHUV199hSlTppjSAaz1xKVbUqZMifjCAOa3335D1apVTTDEdvTu3dudzE4vvvgi3n33XVOigLlSLE3ApPYPP/zQfTudOnVCtWrVMGLECNStWxfTpk3D+vXr3aUOOGTI4GrgwIEoWLCgCah4P9mzZzflDkQkHrBaebdudsDECuZ79vBXHPDmm8DAgUAclksREYkxb6f4PfLII9a5c+es+LR161arevXqVsaMGU1JgTx58ljt27e3jh8/HuG4LVu2WFWrVjXH3HfffdaQIUNuua3p06dbhQoVsoKCgkw5hrlz50a4nKUMevfubYWEhJjbqVGjhrVnzx6v2qsyBiKx5NIly2KZETsbyrLKlLGsXbucbpWI+Clvvr+9Xguvf//+ePPNN2/pgbpy5YopXskq3oFOa+GJxLI5c+ycqL/+AlKkAD74AGjXjt3GTrdMRPxInC4mzNlvv//+u0ko9+RKMr/JVdcDnAIokTjApZuYYL5kiX2+Rg3gs8+APHmcbpmI+Ik4XUyY8RZzhSLbsmVLhPXxRERiVfbswMKFwMiRdi/U0qVAiRLAJ5/YixSLiMSjGAdQTN5mgMTgiWUEeNq1MVqrVasWGnGdKxGRuEww79SJK4cDDz0EXL4MdOhg90YdPOh060QkgMR4CI+z8Hhoy5YtMXLkyAhVx1nSIE+ePO4ZcYFOQ3gi8YC9TmPHcokC4O+/AeZlDh1qB1QMtEREEkoO1I0bN8wadKxGrkKRt6cASiQeseepVSvg55/t8w8/DEycCOTP73TLRMTHxFkOVNKkSU1BSVcRSxERx3G1AuZDjRkDpEoF/O9/QMmSABc312eViMQRr/u5K1SoYNajExFJMDhkx6G7bdvsApxXrgBccaBaNWDfPqdbJyKBWoncU4cOHcwadsePH0fZsmWRir/4PNx///2x2T4RkZjLm9cuc8DVBVi5fMUKfigBgwYBr7/OOixOt1BE/ITXdaASR5GcyZl5rvIGqgOlHCiRBOHIEbv4pqtuFCe5TJoEFC7sdMtExA++v73ugTp06NC9tE1EJH7kzg0sWgR8/jnQpQuwejXARcIHDADeeEO9USISvz1QcmfqgRJJYI4eBdq2tQtx0oMP2jP1ihZ1umUiEiiVyOnAgQPo2LEjatasabbXX3/d7BMRSZBy5QLmz7d7o/ihuGYNULq0XTfqxg2nWyciPsjrAGrhwoUoVqwY1q1bZxLGua1duxbFixfH4sWL46aVIiL3iktQtWwJ7NgBPPEEcPUq0KMHULmyvU9EJC6H8EqXLo3atWtjyJAhEfb36NEDixYtwsaNGxHoNIQnksDxY++LL+xlYcLCuJwC0K8f0K0bC9453ToR8bdK5JQ8eXJs27YNBQsWjLB/7969pjfqn3/+QaBTACXiI06cANq1A+bOtc+XLWvP1GMhThEJOBfiMgcqS5Ys2Lx58y37uS9r1qze3pyIiHPuuw/48Ue7Nyp9emDDBjuIGjgQuH7d6daJSALmdV91mzZt0LZtWxw8eBCVmTsAYOXKlRg6dCi6cKqwiIiv5UY1bQrUrAm0bw/88APQuzfw3XfA5Ml2IU4RkXsdwuPhI0eOxIgRI3Dy5EmzL3v27OjWrZuZjcdimoFOQ3giPoofh1OnAh07AmfP2vlQvXoBPXvaeVIi4tcuxGUOlKeLFy+a/9OkSXO3N+GXFECJ+LhTp4BXXgHmzLHPP/CA3RvFQpwi4rfivA4UnTlzxuQ9cfvjjz/u9mZERBKe0FB7CI+9UZkyAVu2AOXLA337AteuOd06EUkAEt9Nr1PTpk3NsF21atXMxtNNmjQxEZuIiF9gOsILL9g1oho0sAtu9u8PlCtnJ5uLSEDzOoBq3bq1KZw5d+5cnD9/3mw//fQT1q9fj3acDiwi4k9CQoCZM4Hp04HMmYFt24AKFez19S5dcrp1IuIQr3OgUqVKZaqRV61aNcL+X3/9FY8//jguX76MQKccKBE/xXQFJph/+619PmdOYPRooF49p1smIgk9BypTpkzmxiPjvgwZMnh7cyIiviNLFmDaNHtdvbx5gWPHgPr1gWeesU+LSMDwOoDq1auXqfd0irNU/sXTLGPQm7VTRET83eOPA9u322vpsdQBZ+sVKwaMHKnFiUUCxF2thbd//35cvXoVubjCOYCjR48iODj4luVdAnVdPA3hiQQQBlLM/1y1yj5fpgwwfrydbC4ifvv97XUl8vrsrhYREVuJEkwCBT7/HOjenb8cgYoVgddeAwYMAPQjSsQv3VMhTYmaeqBEAtTp00DXrsDXX9vns2e3k8yZI6VVGkQSvHgppCkiIlGUPPjqK2DRIiB/foDLXbGG1NNPA0eOON06EYlFCqBERGJbrVp2vSiuo5csGfDTT3aS+fvvA9evO906EYkFCqBEROJCihR2DhSXgXnoIeDvv4Fu3ezk8jVrnG6diNwjBVAiInGpaFHg55/tJPOMGYGtW4HKlYEOHYDz551unYjEVwD1zz//3Pay33///W7bISLivxInBlq2BHbvBpo3Bzh355NP7OCKVc01l0fE/wOoMmXKYPPmzbfsnzVrFu6///7YapeIiH9WMp88GVi2DChUiFWI7QWLn3gCOHjQ6daJSFwGUI888ggefPBBDB061Jzn2nctWrRA06ZN8fbbb3t7cyIigad6dXsor18/ICgIWLAAKF4cGDJESeYi/lwHau7cuWjdujUKFChghu1Sp06Nr776CiVYUE5UB0pEYm7PHuCVV4Dly+3zDKRYybxKFadbJhJwLsR1Hag6derg2WefxcqVK80yLuyNUvAkInIXChcGli4FvvgCyJwZ2LEDqFoVaNsWOHvW6daJSGwFUAcOHEClSpXw008/YeHChejevTuefvpp8/91dT2LiHiPVcqbNrWTzFu1svd9+ilQpIhd1VxJ5iK+H0CVKlUKefPmxZYtW1CrVi0MHDgQy5cvx3fffYcKFSrETStFRAJBpkzAZ58B//ufPUPvjz+AJk2Axx4D9u1zunUici8B1NixYzFt2jSkT5/eva9y5crYtGmTmaEnIiL3iIU3Odv5vfeA5MmBJUuAkiXtwpxXrzrdOhG5mwCKs+2ikiZNGnzOQnFxhMOEuXLlQvLkyZEtWzbTjpNcZ+pfhw8fRqJEiW7Z1kSq+DtjxgwUKVLE3E7JkiUxb968CJczp75Pnz7mPlKkSIGaNWtin375iUh84+w8zmzevt3ugWLg1KcPhwGAX35xunUiAe+uK5Hv3LkTCxYswA8//ODefvzxR8SV6tWrY/r06dizZ4+pOcVcrOeee+6W45YsWWJmBrq2smXLui9btWoVGjdujFatWpkes/r165ttOz+g/jVs2DCMGjUK48aNw9q1a5EqVSrUrl072gKiIiJxhosSs8zBN9/YixUzT+qRR+yhvRMnnG6dSMDyuozBwYMH8cwzz2Dbtm2mh8d1dZ6mmzdvIj4wYGPwc/XqVSRLlsz0QDE3i4ER87Si8vzzz5u6VUyAd2FNKx7PgImPJXv27OjatSvefPNNczmnMoaEhGDy5Ml4gQXvYkBlDEQkTpw7B/TsCUyYYCeWp0oF9O4NdO4MBAc73ToRnxenZQw6depkApUzZ84gZcqU2LFjB/73v/+hXLly+JnrPcWDs2fP4uuvvza5VwyeIg/1Zc2aFVWrVjVBlqfVq1ebITlP7F3ifjp06BBOnToV4Rg+kRUrVnQfExUGcXzSPTcRkViXIQMwbhywbh1//bGSMdCjh50fNX++060TCSheB1AMJPr374/MmTMjceLEZmOwMnjwYLz++uuIS2+99ZYZUsuUKZOpP/X999+7L2MxzxEjRpgcJxb6ZJvYQ+UZRDE4Ym+SJ57nftflrn23OyYqfOwMtFxbzpw5Y+0xi4jcolw5YOVKYMoUe1iPeZpcDubpp1lrxunWiQQErwMoDtExYZwYRLkSuXPnzm3yk7zRo0ePKBO/PbfdHO//V7du3cwQ3aJFi5AkSRI0a9bMPYTItnTp0sX0FpUvXx5DhgxBkyZNMHz4cMS1nj17mu4+13bs2LE4v08RCXBcoLhZM2DvXqBrVyBpUoB5qMWKAe+8Y/dOiUicSertFVhxnDWgOIzHYIVJ10FBQZgwYQLy5cvn1W0x14jr6EXH8zYZJHErVKgQihYtanp6OMuOhT2jwvYtXrzYfT40NBSnT5+OcAzPc7/rctc+zsLzPOZ2eVUUHBxsNhGReMc8jffftwtwduoE8DNv0CC7sjn3N2pkF+oUEWd7oHr16oXw8HBzmkN5zBt66KGHTDkAzl7zRpYsWUxJgeg2BmdRcbWB+Ue3s3nz5giBEAOtpVwywQMDLFcAxqCQQZTnMcxn4my82wVpIiIJAgtvLlwIzJ4N5MkDHD8OcOLLo48C27Y53ToRv3NXiwlHldSdIUMG90y82MYA5rfffjN5TbwfljDo3bu36RliEjt7f6ZMmWKCrdKlS5vrsDI6j/nss8/w8ssvu8sYVKtWzQzv1a1b1xQEHTRoEDZu3Ohey4/r+vFy3h4DKt7G1q1bTdkG1o6KCc3CExFHXbkCMH1h8GCAJViSJAE6dADefddORBeRe//+tnzA1q1brerVq1sZM2a0goODrTx58ljt27e3jh8/7j5m8uTJVtGiRa2UKVNaadOmtSpUqGDNmDHjltuaPn26VahQISsoKMgqXry4NXfu3AiXh4eHW71797ZCQkLMfdWoUcPas2ePV+0NCwtjUGr+FxFxzOHDltWgAX8l21vmzJb16aeWdfOm0y0TSZC8+f6OcQ9Uy5YtY3IYJk6ciECnHigRSVC4FAxnSe/a9d8svtGj7VIIIhK3daBYSJKLBp8/fx7nzp277SYiIgkMa9tt2QJ88IGddL5+PZNCAU7iiaZEi4jcXox7oF599VVMnTrVlCtgThFLBGTMmDEmVw046oESkQSLM5FZzXzSJPs8P6P69gU6dgQiFSYWCTQX4qIHasyYMWZtue7du5s171hCoFGjRli4cKG7FpOIiCRwLLzJVAsutF6+PL8x7DpSDzxgD/WJSOyXMeBsNy7Gy6n/nJVWvHhxdOjQAXny5MGlS5e8uSkREXFSxYp2EPXZZ6wpY+dH1aoFNGgAHD7sdOtE/K8OlPuKiRO7FxOOrwWERUQklquZswAnq5kzyZzlDr77zq4pxZIHLIcgIvceQLFoJfOgatWqZaqBb9u2DR9//LFZl45r0YmIiA9Knx746CNWHwaqV7drR/XrZwdSDKiUpiFy9wEUh+pY1ZtFJp988kmz3hsX7n3iiSdMb5SIiPg4FhTmSgzTpwNcFP3IEXtI77HH/iuBICLezcJjkJQrVy5T6Tu6iuOsAB7oNAtPRHweFyMeMsSuaM4ls7hYMYf5OGNPn2vip+JkFl6zZs1QvXp1pE+f3tz47TYREfEDqVIBAwYAO3cC9eoBN27YdaQKFQKmTOGCpE63UMT318KTiNQDJSJ+Z8ECoFMnO+HcVc2cAdVDDzndMpGE3QMlIiIB7PHHgW3bgGHDgDRp7GrmDz9s50jt3+9060TinQIoERGJmaAgoFs3O2Bq394ug8C812LFgDfeAM6edbqFIvFGAZSIiHgna1bgk0+ArVuBOnWA69eBkSOBAgXscgjXrjndQpE4pwBKRETuTvHiwLx5wMKFQMmSABeU79zZ3j9njupHiV9TACUiIveGdaI2bQI+/dRea49DfM88AzzyCLBhg9OtE4kTCqBEROTecRmY1q2BffuAXr2A5MmB//3Pnq3XrBlw7JjTLRSJVQqgREQk9nCGHutHsdxB06b2vi+/tOtH9e4NXLzodAtFYoUCKBERiX1cCuaLL4DffrPLHXB9vYEDgYIF7aE+LUIvPk4BlIiIxB0O4f38MzB7tj1L7/RpoG1boHRpYNEip1snctcUQImISNzi+qn16wM7dgAffghkyGAX5axdG3jiCXu5GBEfowBKRETirxAnyxxwlh7/T5YMmD8fuP9+4JVXgDNnnG6hSIwpgBIRkfiVMaPdE8Wep2eftfOhxo2zh/iGDLHzpUQSOAVQIiLiDAZMs2YBv/wClC1rz9Dr2RMoXBiYOlWFOCVBUwAlIiLO4iy9devscgc5cgBHjwIvvgg8+CCwcqXTrROJkgIoERFxHhcmbtIE2LPHLneQOrUdVFWtCjRsCBw44HQLRSJQACUiIglHypTAO+/YFc3btLEDq5kzgaJFgTffBM6fd7qFIoYCKBERSXhCQ4EJE4DNm4FatYDr14ERI+y8qdGj7fMiDlIAJSIiCVfJksDChcC8eUCxYsBffwGvv26f/vZbIDzc6RZKgFIAJSIiCb8QZ506wJYtdrmDrFntWlIvvACULw8sXux0CyUAKYASERHfkDQp0K6dnVD+7rt2ovnGjcBjjwE1awLr1zvdQgkgCqBERMS3MHDq0wc4eBDo1MmuaL50qd0b1aiRnYAuEscUQImIiG/KkgUYORLYuxdo2tQe6psxw56xx6Vhfv/d6RaKH1MAJSIivi1PHuCLL+wZe3XrRlwahiURwsKcbqH4IQVQIiLiH7go8U8/2UvDsIr5338DgwYB+fLZJRC0xp7EIgVQIiLif0vDrFoFzJ5tD+edPWsX4SxUCJg0ye6hErlHCqBERMT/MB+qfn1g61bg88/tNfaOHQNatrR7qr7/XosVyz1RACUiIv5d+oBBExPNhw8HMmQAdu60gyuus7dihdMtFB+lAEpERPxfihT2MB5LH/TsaZ/nMN9DDwFPPQVs2+Z0C8XHKIASEZHAkT69nVjOSuZt2wJJktiJ5w88ADRvDhw54nQLxUf4XAB19epVlCpVCokSJcJmTln1sHXrVjz00ENInjw5cubMiWHDht1y/RkzZqBIkSLmmJIlS2Ie11fyYFkW+vTpg2zZsiFFihSoWbMm9qkom4iIf8meHRg/HtixA3juOTsfiqUQmGj+xhvAn3863UJJ4HwugOrevTuy84UfyYULF/DYY48hd+7c2LBhA4YPH45+/fphAlfz/teqVavQuHFjtGrVCps2bUL9+vXNtn37dvcxDLpGjRqFcePGYe3atUiVKhVq166NfzT9VUTE/xQubBffXLcOqF4duHbNLs7J0gcDBgCXLjndQkmoLB8yb948q0iRItaOHTs4dcLatGmT+7KxY8daGTJksK5evere99Zbb1mFCxd2n2/UqJFVt27dCLdZsWJFq127duZ0eHi4FRoaag0fPtx9+fnz563g4GBr6tSpMW5nWFiYaR//FxERHxEeblkLFlhWqVLsj7K3kBDLGjPGsq5dc7p1Eg+8+f72mR6o06dPo02bNvjyyy+RMmXKWy5fvXo1Hn74YQQFBbn3sedoz549OHfunPsYDsl54jHcT4cOHcKpU6ciHJMuXTpUrFjRfYyIiPhx6YPatYENG4BvvrF7oU6fBl591a4nNXUqEB7udCslgfCJAIp5SS1atED79u1Rrly5KI9h4BMSEhJhn+s8L4vuGM/LPa8X1TG3y8viEKLnJiIiPipxYqBxY2DXLuDjj4GsWYEDB4AXXwT4HbRwoWpIibMBVI8ePUwyeHTb7t27MXr0aFy8eBE9OfU0ARo8eLDpqXJtTGAXEREfxxEN9j4xeOrfH0iTBti0CXj8caBGDWDlSqdbKIEaQHXt2hW7du2KdsuXLx+WLVtmhtCCg4ORNGlSFOACkeAPgXJozmmnAEJDQ80wnyfXeV4W3TGel3teL6pjosLALiwszL0dY7VbERHxD6lTA71724FU5852YLV8uV2Is04dYP16p1sogRZAZcmSxZQUiG5jThNnxW3ZssWULeDmKj3w7bff4r333jOnK1WqhP/973+4fv26+/YXL16MwoULIwMrz/57zNKlSyO0gcdwP+XNm9cESp7HcDiOs/Fcx0SFgV3atGkjbCIi4meyZAE+/NCuat66tV1DasECoHz5/5aNkcBh+aBDhw7dMguPs+VCQkKspk2bWtu3b7emTZtmpUyZ0ho/frz7mJUrV1pJkya13n//fWvXrl1W3759rWTJklnbtm1zHzNkyBArffr01vfff29t3brVqlevnpU3b17rypUrMW6fZuGJiASAffssq2lTy0qc+L9Ze40aWdbOnU63TO6SX87CuxPmHi1atMjMpCtbtqwZHmRBzLasNPuvypUr45tvvjG1oR544AHMnDkTc+bMQYkSJSLUmerYsaO5Xvny5XHp0iUsWLDAFN4UERFxYzoJi2+ylmCjRva+6dMBfqc0a2YP+YnfSsQoyulG+BsO+zGgYz6UhvNERALEli1A377A99/b5znE9/LLdv5UrlxOt05i+fvbb3qgREREHMX19ObMsauac6bezZvAZ58BBQsCr70GnDzpdAslFimAEhERiU1MKp8/H1ix4r/lYcaMAfLn5/Rz4MwZp1sosUABlIiISFyoUgVYtgzgzO7KlQGuqfrBB3aF87ffBs6edbqFcg8UQImIiMSlRx+1e6PYK1W2LHD5Misws3YO8O67QFiY0y2Uu6AASkREJD7W2WNe1G+/2XlSJUsyYxno188OpIYMsQMr8RkKoEREROIzkKpXD9i8mdWggSJFAC54z6XKGEixUOeVK063UmJAAZSIiIgTCxazdhRrSLGWFPOi/vgD6NLFri81dixXqne6lRINBVAiIiJOYa2opk2B3buBTz8FuBg9yx1wEePChYHPPwc8liiThEMBlIiIiNOSJbPX19u3D/j4YyBbNuDIEXtfsWLAV1/ZdaUkwVAAJSIiklAEB9u9T1wGZsQIIHNmYP9+u5eKieczZgDh4U63UhRAiYiIJEApUtj5UIcOAYMGARkyALt22XlTZcrYy8VoJTZHKYASERFJqFKntmfoMZDiOntp0thr7tWvbwdSs2erR8ohCqBEREQSunTp7JpRDKR69ABSpbJLITz7LFC6NDBzpgKpeKYASkRExFdkymRXMT982F4Ohj1SW7cCDRsC999v15ZSsnm8UAAlIiLia5hc/t57diDVuzeQNi2wYwfwwgt2svk33yiQimMKoERERHxVxoxA//52yQMO8aVPbyebv/SSXf7gyy+BGzecbqVfUgAlIiLi6xg4McmcPVIDBtiz9vbuBZo1A4oWBSZPViAVyxRAiYiI+FOyea9ediDFXCnmTLGO1Msvq7J5LFMAJSIi4m+YE8XZegykhg0DsmQBDh60K5sXKmQvG3PtmtOt9GkKoERERPy5jlS3bnb5A1Y2Dwmxg6q2bYGCBYFx47Ro8V1SACUiIuLvWDeKlc3ZCzVypL3W3tGjwCuvAAUKAGPGAP/843QrfYoCKBERkUCRMiXQqZO91t7o0cB99wHHjwOvvQbkzw+MGgVcueJ0K32CAigREZFAXGuPQRMTzNn7lCMHcPKkHVzlywd8+CHw999OtzJBUwAlIiISqJInBzp0sAMp5kPlygWcOmUP9+XNC7z/PnD5stOtTJAUQImIiAS64GCgXTtg3z57hh6DpzNn7AT0PHmAoUOBS5ecbmWCogBKREREbEFBdqmDPXuAiRPtvKg//7RLIjCQGjQIuHDB6VYmCAqgREREJKJkyezim7t3A1Om2CUP/voLeOcdO5AaMAA4fx6BTAGUiIiIRC1pUns5GK6v99VXQJEiwLlzQJ8+dr5Uz57A6dMIRAqgREREJHpJktgLFG/fDkydCpQsCVy8CAwZYvdIdexoL2gcQBRAiYiISMwDqRdeADZvBn74AahY0S7A+fHHdkFO17BfAFAAJSIiIt5JnBh46ilg9Wpg2TKgZk3gxg1g8mSgWDGgYUNg40b4MwVQIiIicncSJQKqVwcWLwbWrgXq1wcsC5g5EyhbFqhTB/j1V/gjBVAiIiJy7ypUAGbPBrZts/Ol2Eu1YAHw8MPAQw8B8+fbwZWfUAAlIiIisadECXvGHotysjgna0utWAE88YTdK8XeqZs34esUQImIiEjsy5fPXh7m0CGga1cgVSpg0yY7P6p4cTtf6vp1+CoFUCIiIhJ3sme319RjmYO+fYEMGexK55yxx5l7nMF35Qp8jQIoERERiXuZMgH9+tmB1PDhQGgocPSoXUOKtaRYUyosDL5CAZSIiIjEnzRpgDfftIf2xo61gycuXMyq5rlzA716AX/8gYROAZSIiIjEv+TJgVdeAfbuBb74Aiha1O6Beu89O5Dq3Bk4dgwJlQIoERERcXbh4qZN7WVivvvOnqnHnKiPPgLy5wdat7Zn9CUwPhdAXb16FaVKlUKiRImwmaXk/3X48GGzL/K2Zs2aCNefMWMGihQpguTJk6NkyZKYN29ehMsty0KfPn2QLVs2pEiRAjVr1sS+BPiHExER8SuJEwPPPAP89huwaBHwyCP2LL3PP7cXMeYSMlu2IKHwuQCqe/fuyM6M/ttYsmQJfv/9d/dWlpHsv1atWoXGjRujVatW2LRpE+rXr2+27Yx6/zVs2DCMGjUK48aNw9q1a5EqVSrUrl0b/3CtHxEREYn76ua1agHLlwMrVwJ16wLh4cC33wKlSgFPPskvdDjO8iHz5s2zihQpYu3YsYOlTK1Nmza5Lzt06NAt+yJr1KiRVbdu3Qj7KlasaLVr186cDg8Pt0JDQ63hw4e7Lz9//rwVHBxsTZ06NcbtDAsLM23h/yIiInKP+N3+/POWlSgRa5nbW5s2Vmzz5vvbZ3qgTp8+jTZt2uDLL79EypQpb3vc008/jaxZs6Jq1ar4gStFe1i9erUZkvPE3iXup0OHDuHUqVMRjkmXLh0qVqzoPuZ2w4oXLlyIsImIiEgsYc/TtGnA7t1Aq1Z23hSXiHGQTwRQzEtq0aIF2rdvj3LlykV5TOrUqTFixAiT4zR37lwTQHF4zjOIYnAUEhIS4Xo8z/2uy137bndMVAYPHmwCLdeWM2fOe3q8IiIiEoVChYDPPgMOHLBzohyU1Mk779GjB4YOHRrtMbt27cKiRYtw8eJF9GSNiNvInDkzunTp4j5fvnx5nDx5EsOHDze9UnGJ7fK8b/ZAKYgSERGJIwngO9bRAKpr166mZyk6+fLlw7Jly8wQWnBwcITL2Bv10ksvYcqUKVFel0Nvixcvdp8PDQ01Q4GeeJ77XZe79nEWnucxnPl3O2xX5LaJiIiI/3I0gMqSJYvZ7oSz4gYOHOg+z54l5i59++23Jki6HZY58AyEKlWqhKVLl6Izi3P9iwEW91PevHlNEMVjXAETe5M4G+8VFvsSERERcTqAiqlcuXLdku9E+fPnR44cOcxp9kIFBQWhdOnS5vx3332HiRMn4jOOlf6rU6dOqFatmsmVqlu3LqZNm4b169djwoQJ5nLWjWJwxWCtYMGCJqDq3bu3KZvAfCoRERERnwmgYmrAgAE4cuQIkiZNaoplsofqueeec19euXJlfPPNN+jVqxfefvttEyTNmTMHJUqUiFBn6vLly2jbti3Onz9vktEXLFhgCm+KiIiIUCLWMtBTEbs47MfZeGFhYUibNq3TzREREZFY/v72iTIGIiIiIgmJAigRERERLymAEhEREfGSAigRERERLymAEhEREfGSAigRERERLymAEhEREfGSAigRERGRQK5EnlC4apOyIJeIiIj4Btf3dkxqjCuAigMXL140/+fMmdPppoiIiMhdfI+zInl0tJRLHAgPD8fJkyeRJk0as0BxbEfHDMyOHTsWkMvE6PEH9uOnQH8OAv3xU6A/B3r8F+Ls8TMkYvCUPXt2JE4cfZaTeqDiAJ/0HDlyxOl98EUTiG8cFz3+wH78FOjPQaA/fgr050CPP22cPP479Ty5KIlcRERExEsKoERERES8pADKxwQHB6Nv377m/0Ckxx/Yj58C/TkI9MdPgf4c6PEHJ4jHryRyERERES+pB0pERETESwqgRERERLykAEpERETESwqgRERERLykAMqHjBkzBnny5EHy5MlRsWJFrFu3DoFi8ODBKF++vKnunjVrVtSvXx979uxBoBoyZIipct+5c2cEihMnTqBJkybIlCkTUqRIgZIlS2L9+vUIFDdv3kTv3r2RN29e8/jz58+PAQMGxGjNLl/0v//9D0899ZSpCM3X+pw5cyJczsfdp08fZMuWzTwfNWvWxL59+xAoz8H169fx1ltvmfdBqlSpzDHNmjUzq2AEymvAU/v27c0xI0eORHxRAOUjvv32W3Tp0sVM3dy4cSMeeOAB1K5dG2fOnEEg+OWXX/Dqq69izZo1WLx4sfnweOyxx3D58mUEmt9++w3jx4/H/fffj0Bx7tw5VKlSBcmSJcP8+fOxc+dOjBgxAhkyZECgGDp0KD755BN8/PHH2LVrlzk/bNgwjB49Gv6I721+zvGHY1T42EeNGoVx48Zh7dq1JojgZ+I///yDQHgO/v77b/NdwKCa/3/33XfmR+XTTz/tSFudeA24zJ4923w3MNCKVyxjIAlfhQoVrFdffdV9/ubNm1b27NmtwYMHW4HozJkz/Nlt/fLLL1YguXjxolWwYEFr8eLFVrVq1axOnTpZgeCtt96yqlatagWyunXrWi1btoyw79lnn7Veeukly9/xvT579mz3+fDwcCs0NNQaPny4e9/58+et4OBga+rUqVYgPAdRWbdunTnuyJEjVqA8/uPHj1v33XeftX37dit37tzWhx9+GG9tUg+UD7h27Ro2bNhguqg919vj+dWrVyMQhYWFmf8zZsyIQMJeuLp160Z4LQSCH374AeXKlUPDhg3NEG7p0qXx6aefIpBUrlwZS5cuxd69e835LVu2YMWKFahTpw4CzaFDh3Dq1KkI7wOuX8bUhkD9THR9LnIYK3369AgE4eHhaNq0Kbp164bixYvH+/1rMWEf8Oeff5r8h5CQkAj7eX737t0INHzTMPeHQzolSpRAoJg2bZrpqucQXqA5ePCgGb7iMPbbb79tnoPXX38dQUFBaN68OQJBjx49zCr0RYoUQZIkScxnwnvvvYeXXnoJgYbBE0X1mei6LNBw6JI5UY0bNw6YBYaHDh2KpEmTms8CJyiAEp/shdm+fbv59R0ojh07hk6dOpn8L04iCMSgmT1QgwYNMufZA8XXAPNfAiWAmj59Or7++mt888035tf25s2bzQ8J5n0EynMgUWNOaKNGjUxiPX9oBIINGzbgo48+Mj8q2evmBA3h+YDMmTObX5ynT5+OsJ/nQ0NDEUhee+01/PTTT1i+fDly5MiBQMEPC04YKFOmjPnFxY2J9Uyi5Wn2RvgzzrQqVqxYhH1FixbF0aNHESg4TMFeqBdeeMHMvOLQxRtvvGFmqAYa1+eePhP/C56OHDlifmAFSu/Tr7/+aj4Tc+XK5f5M5HPQtWtXM1s9PiiA8gEcpihbtqzJf/D8Rc7zlSpVQiDgLysGT5xtsWzZMjOVO5DUqFED27ZtM70Oro09Mhy+4WkG2P6Mw7WRy1YwFyh37twIFJx1xdxHT/y787Mg0PD9z0DJ8zORw5ucjRcon4mewRPLNyxZssSU+AgUTZs2xdatWyN8JrI3lj80Fi5cGC9t0BCej2DuB7vp+aVZoUIFU+uCUzxffvllBMqwHYcuvv/+e1MLypXnwMRR1oDxd3zMkfO9OG2bH5iBkAfGnhYmUXMIj18YrIE2YcIEswUK1sNhzhN/cXMIb9OmTfjggw/QsmVL+KNLly5h//79ERLH+SXJiSN8Djh8OXDgQBQsWNAEVJzOzy9Q1ogLhOeAvbLPPfecGcJirzx7oV2fi7ycP7z9/TWQKVLAyDInDKwLFy4cPw2Mt/l+cs9Gjx5t5cqVywoKCjJlDdasWWMFCr5Uo9omTZpkBapAKmNAP/74o1WiRAkzVb1IkSLWhAkTrEBy4cIF8/fmZ0Dy5MmtfPnyWe+884519epVyx8tX748yvd88+bN3aUMevfubYWEhJjXRI0aNaw9e/ZYgfIcHDp06Lafi7xeILwGIovvMgaJ+E/8hGoiIiIi/kE5UCIiIiJeUgAlIiIi4iUFUCIiIiJeUgAlIiIi4iUFUCIiIiJeUgAlIiIi4iUFUCIiIiJeUgAlIiIi4iUFUCLi11q0aGFWa+fGpR5CQkJQq1YtTJw4Md7Xkfvjjz/MEhtchonrmHE5nkBaEFnEnyiAEhG/9/jjj+P333/H4cOHMX/+fFSvXh2dOnXCk08+iRs3bsRbO1avXo0HHnjABE5cw8y1ppeI+B4FUCLi94KDg80io/fddx/KlCmDt99+2yxMzWBq8uTJ7uO4OG/JkiVNgJMzZ0506NDBLGhK7DVKmzYtZs6cGeG258yZY46/ePHiHduxatUqVKlSxZxesWKF+7SI+B6thScifj+Ed/78eRPoRFaqVClkz54d8+bNM+dHjhxpeojy5s2LgwcPmgDq0UcfxdixY83lbdu2xYkTJzB37lz3bdSrVw/p06fHlClTorx/DtHdf//95vTff/+NJEmSmIDuypUrZlgxefLkePHFF933ISK+QQGUiARsAPXCCy9g69at2LlzZ5TXZW9T+/bt8eeff5rz69atQ+XKlXHs2DFky5YNZ86cMb1aS5YsQbVq1aK8DQ4RHj9+HBcuXEC5cuWwfv1602PF4I2BGIfwUqdOjcyZM8fyIxeRuKQhPBEJWPz9yF4gFwZCNWrUMEFRmjRp0LRpU/z111+m54gqVKiA4sWLu3ubvvrqK+TOnRsPP/zwbe8jadKkyJMnD3bv3o3y5cub3qhTp06ZZHZej5cpeBLxPQqgRCRg7dq1ywzXERPMmVTOAGfWrFnYsGEDxowZYy67du2a+zqtW7d2501NmjQJL7/8coQgLDIGXOxhYjDGHiyeZpDG++NpXi4ivkcBlIgEpGXLlmHbtm1o0KCBOc+AiWUNRowYgQcffBCFChXCyZMnb7lekyZNcOTIEYwaNcoM/TVv3jza+2F+1ebNm00SO3useLpEiRIm34qnXflXIuJbkjrdABGRuHb16lUzbHbz5k2cPn0aCxYswODBg02PU7NmzcwxBQoUMLWZRo8ejaeeegorV67EuHHjbrmtDBky4Nlnn0W3bt3w2GOPIUeOHNHeN4f4eN+8Xyacs7dqx44dJnBjHpWI+Cb1QImI32PAxGCF+UasCbV8+XLTg8RSBpwVR5x9xzIGQ4cONT1EX3/9tQmyotKqVSszrNeyZcsY3f/PP/9s8p84447DeAy6FDyJ+DbNwhMR8dKXX36JN954wwzxsbK4iAQeDeGJiMQQZ+OxovmQIUPQrl07BU8iAUxDeCIiMTRs2DAUKVLEJIT37NnT6eaIiIM0hCciIiLiJfVAiYiIiHhJAZSIiIiIlxRAiYiIiHhJAZSIiIiIlxRAiYiIiHhJAZSIiIiIlxRAiYiIiHhJAZSIiIiIlxRAiYiIiMA7/wfu/6/IdoIHgQAAAABJRU5ErkJggg=="
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
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