{
"cells": [
{
"cell_type": "markdown",
"id": "817d9410",
"metadata": {},
"source": [
"# Solar Position\n",
"\n",
"\n",
"Solar position is a fundamental aspect of solar resource assessment. The different angles used in the reference system to locate the sun at a particular time and location are probably the most common input in solar resource modelling and assessment.\n",
"\n",
"In this section, we cover: \n",
"- Solar position system; \n",
"- Solar position algorithms; and \n",
"- Applications of solar position. \n",
"\n",
"***\n",
"
Content by Jesus Polo & Javier Lopez Lorente
"
]
},
{
"cell_type": "markdown",
"id": "d8e48146",
"metadata": {},
"source": [
"## Solar position system\n",
"\n",
"The reference solar position system used for solar systems is usually a horizontal coordinate system focused on the observer. In this system, any observed placed at a given latitude and longitude is completeley determined by the zenith ($\\theta$) and azimuth angles $\\phi$ (see Figure). The solar elevation angle ($\\alpha$) is the complementary of the zenith solar angle ($\\alpha$ = 90 - $\\theta$).\n",
"\n",
"\n",
"```{image} ../notebooks/graphics/solar_position_system.png\n",
":alt: decomposition_flowchart\n",
":class: bg-white mb-1\n",
":width: 500px\n",
":align: center\n",
"```\n",
"\n",
"\n",
"In Python, the solar position angles can be easily calculated at any site using the solar position algorithm (SPA) of *pvlib*, which has implemented by default with NREL's SPA algorithm (Reda and Andreas, 2003). We will show and compare the different solar position algorithms available in *pvlib* and show how solar position angles can be estimated in several ways.\n",
"\n",
"Let's import the required libraries and see an example: \n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "4caed7b0",
"metadata": {},
"outputs": [],
"source": [
"# Libraries \n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import pvlib\n",
"from pvlib.location import Location"
]
},
{
"cell_type": "markdown",
"id": "096f33af",
"metadata": {},
"source": [
"A way to estimate the solar position is through the object *pvlib.location.Location* in the library *[pvlib](https://pvlib-python.readthedocs.io/en/stable/index.html)*, which helps defining its particular geographic location (e.g., latitude, longitude, timezone, and altitude)."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "42dfccf0",
"metadata": {},
"outputs": [
{
"data": {
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" elevation \n",
" azimuth \n",
" equation_of_time \n",
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" 2018-01-01 03:00:00-01:00 \n",
" 130.627975 \n",
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" 2018-01-01 04:00:00-01:00 \n",
" 119.234764 \n",
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\n",
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"text/plain": [
" apparent_zenith zenith apparent_elevation \\\n",
"2018-01-01 00:00:00-01:00 160.468395 160.468395 -70.468395 \n",
"2018-01-01 01:00:00-01:00 152.396698 152.396698 -62.396698 \n",
"2018-01-01 02:00:00-01:00 141.889229 141.889229 -51.889229 \n",
"2018-01-01 03:00:00-01:00 130.627975 130.627975 -40.627975 \n",
"2018-01-01 04:00:00-01:00 119.234764 119.234764 -29.234764 \n",
"\n",
" elevation azimuth equation_of_time \n",
"2018-01-01 00:00:00-01:00 -70.468395 29.900075 -3.346090 \n",
"2018-01-01 01:00:00-01:00 -62.396698 58.528284 -3.365720 \n",
"2018-01-01 02:00:00-01:00 -51.889229 75.239601 -3.385340 \n",
"2018-01-01 03:00:00-01:00 -40.627975 86.856662 -3.404951 \n",
"2018-01-01 04:00:00-01:00 -29.234764 96.389095 -3.424553 "
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Definition of Location oject. Coordinates and elevation of Madrid Ciemat Headquarters (Spain)\n",
"site = Location(40.456, -3.73, 'Etc/GMT+1', 651, 'Ciemat (Madrid, ES)') # latitude, longitude, time_zone, altitude, name\n",
"\n",
"# Definition of a time range of simulation\n",
"times = pd.date_range('2018-01-01 00:00:00', '2018-12-31 23:59:00', closed='left', freq='H', tz=site.tz)\n",
"\n",
"# Estimate Solar Position with the 'Location' object\n",
"solpos = site.get_solarposition(times)\n",
"\n",
"# Visualize the resulting DataFrame\n",
"solpos.head()"
]
},
{
"cell_type": "markdown",
"id": "e8170884",
"metadata": {},
"source": [
"Alternatively, the function *pvlib.solarposition.get_solarposition()* can be used to obtain the same result:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "85b56891",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" apparent_zenith \n",
" zenith \n",
" apparent_elevation \n",
" elevation \n",
" azimuth \n",
" equation_of_time \n",
" \n",
" \n",
" \n",
" \n",
" 2018-01-01 00:00:00-01:00 \n",
" 160.468395 \n",
" 160.468395 \n",
" -70.468395 \n",
" -70.468395 \n",
" 29.900075 \n",
" -3.346090 \n",
" \n",
" \n",
" 2018-01-01 01:00:00-01:00 \n",
" 152.396698 \n",
" 152.396698 \n",
" -62.396698 \n",
" -62.396698 \n",
" 58.528284 \n",
" -3.365720 \n",
" \n",
" \n",
" 2018-01-01 02:00:00-01:00 \n",
" 141.889229 \n",
" 141.889229 \n",
" -51.889229 \n",
" -51.889229 \n",
" 75.239601 \n",
" -3.385340 \n",
" \n",
" \n",
" 2018-01-01 03:00:00-01:00 \n",
" 130.627975 \n",
" 130.627975 \n",
" -40.627975 \n",
" -40.627975 \n",
" 86.856662 \n",
" -3.404951 \n",
" \n",
" \n",
" 2018-01-01 04:00:00-01:00 \n",
" 119.234764 \n",
" 119.234764 \n",
" -29.234764 \n",
" -29.234764 \n",
" 96.389095 \n",
" -3.424553 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" apparent_zenith zenith apparent_elevation \\\n",
"2018-01-01 00:00:00-01:00 160.468395 160.468395 -70.468395 \n",
"2018-01-01 01:00:00-01:00 152.396698 152.396698 -62.396698 \n",
"2018-01-01 02:00:00-01:00 141.889229 141.889229 -51.889229 \n",
"2018-01-01 03:00:00-01:00 130.627975 130.627975 -40.627975 \n",
"2018-01-01 04:00:00-01:00 119.234764 119.234764 -29.234764 \n",
"\n",
" elevation azimuth equation_of_time \n",
"2018-01-01 00:00:00-01:00 -70.468395 29.900075 -3.346090 \n",
"2018-01-01 01:00:00-01:00 -62.396698 58.528284 -3.365720 \n",
"2018-01-01 02:00:00-01:00 -51.889229 75.239601 -3.385340 \n",
"2018-01-01 03:00:00-01:00 -40.627975 86.856662 -3.404951 \n",
"2018-01-01 04:00:00-01:00 -29.234764 96.389095 -3.424553 "
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Alternative method using the 'solarposition.get_solarposition' function\n",
"solpos = pvlib.solarposition.get_solarposition(times, site.latitude, site.longitude, site.altitude)\n",
"\n",
"solpos.head()"
]
},
{
"cell_type": "markdown",
"id": "6201fa3e",
"metadata": {},
"source": [
"We observe that both lines of code return the same output. After the solar angles are estimated, these can be visualized:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "03e11ca0",
"metadata": {
"tags": [
"hide-input"
]
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.dates as mdates\n",
"\n",
"# Plots for solar zenith and solar azimuth angles\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
"fig.suptitle('Solar Position Estimation in ' + site.name + ' 21st June')\n",
"\n",
"# plot for solar zenith angle\n",
"ax1.plot(solpos.loc['2018-06-21'].zenith)\n",
"ax1.set_ylabel('Solar zenith angle (degree)')\n",
"ax1.set_xlabel('Time (hour)')\n",
"ax1.xaxis.set_major_formatter(mdates.DateFormatter('%H'))\n",
"\n",
"# plot for solar azimuth angle\n",
"ax2.plot(solpos.loc['2018-06-21'].azimuth)\n",
"ax2.set_ylabel('Solar azimuth angle (degree)')\n",
"ax2.set_xlabel('Time (hour)')\n",
"ax2.xaxis.set_major_formatter(mdates.DateFormatter('%H'))"
]
},
{
"cell_type": "markdown",
"id": "66ab5941",
"metadata": {},
"source": [
"## Solar position algorithms\n",
"\n",
"In the example above, we used the default SPA available in *pvlib*. However, there are several algorithms for estimating the solar position implemented in *pvlib*. You can use your preferred algorithm by defining the argument *method* when calling the function [*get_solarposition()*](https://pvlib-python.readthedocs.io/en/stable/generated/pvlib.solarposition.get_solarposition.html). The 5 avaiable SPAs are:\n",
"\n",
"- nrel_numpy: based on NREL SPA method where pvlib uses the function 'spa_python()'.\n",
"- nrel_numba: simular to 'nrel_numpy', but the code is compiled first.\n",
"- pyephem: based on the [PyEphem package](https://rhodesmill.org/pyephem/), pvlib uses the function 'pyephem()'.\n",
"- ephemeris: based on the pvlib ephemeris code, uses the function 'ephemeris()'.\n",
"- nrel_c: based on NREL SPA code in C language: spa_c()\n",
"\n",
"There are other solar position algorithms available in the literature, for example, the Solar Geometry 2 (SG2) model (Blanc and Wald, 2012), which is available in [Matlab and C language](https://www.oie.minesparis.psl.eu/Valorisation/Outils/Solar-Geometry/).\n",
"\n",
"Below, we will compare some of these methods, namely: NREL SPA ('nrel_numpy'), PyEphem ('pyephem') and Ephemeris ('ephemeris')."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "d66eddf4",
"metadata": {},
"outputs": [],
"source": [
"# Estimate the solar position with a specific SPA defined with the argument 'method' \n",
"solpos_nrel = pvlib.solarposition.get_solarposition(times, site.latitude, site.longitude, site.altitude, method='nrel_numpy')\n",
"solpos_pyephem = pvlib.solarposition.get_solarposition(times, site.latitude, site.longitude, site.altitude, method='pyephem')\n",
"solpos_ephemeris = pvlib.solarposition.get_solarposition(times, site.latitude, site.longitude, site.altitude, method='ephemeris')"
]
},
{
"cell_type": "markdown",
"id": "95fe9fc9",
"metadata": {},
"source": [
"We can visualize the differences in the estimations of the **solar zenith angle**:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "d29949da",
"metadata": {
"tags": [
"hide-input"
]
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axs = plt.subplots(1,3, figsize=(15, 6), facecolor='w', edgecolor='k')\n",
"fig.subplots_adjust(hspace = .5, wspace=.001)\n",
"\n",
"# Wrap the axes\n",
"axs = axs.ravel()\n",
"\n",
"# Plot\n",
"axs[0].plot(solpos_nrel['zenith']-solpos_pyephem['zenith'])\n",
"axs[1].plot(solpos_nrel['zenith']-solpos_ephemeris['zenith'])\n",
"axs[2].plot(solpos_pyephem['zenith']-solpos_ephemeris['zenith'])\n",
"\n",
"# Add characteristics to each subplot in a loop\n",
"plots = [\"NREL SPA ('nrel_numpy') & PyEphem\", \"NREL SPA ('nrel_numpy') & Ephemeris\", \"PyEphem & Ephemeris\"]\n",
"for i in range(3):\n",
" axs[i].set_xlabel('Month')\n",
" axs[i].set_ylabel('Difference (degree)')\n",
" axs[i].set_title(plots[i])\n",
" axs[i].xaxis.set_major_formatter(mdates.DateFormatter('%b'))\n",
"\n",
"plt.tight_layout()\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "b9e5c231",
"metadata": {},
"source": [
"We can visualize the differences in the estimations of the **solar azimuth angle**:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "3aa292b7",
"metadata": {
"scrolled": true,
"tags": [
"hide-input"
]
},
"outputs": [
{
"data": {
"image/png": 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3bjX5OQsLC02Obf77N38s5W9J3oPjrimOu/ocd8377uPjg7CwMLvjZ8lrJ06cwMyZM02WyOTn55vsK3b8PHHiBH7//XeTXC8FBQXo3Lmz1X6a+/jjj/H222+jdevWCA4OxquvvorBgwfb3J5IrxYsWICuXbtaPD9o0CA8+eSTmDhxImbPno2+ffuafGe89tprdvNlmI9R+/btMz42/4zn5eWhsLAQJ06cwOnTp03GpKKiIuPYA0gfK0scPnwYa9aswfz58xEQEID+/fvjkUcewV9//YWtW7faTWis95/19OnTKCgoQEhIiHH74uJik37ZG8/uv/9+vPDCCxg1ahROnjyJRx99FJ9++qlJDiuShwEMN/Puu++iRYsWePXVV62+bjAY0LdvXyQnJ+O9997Dl19+qVpfwsPDMWrUKDz55JN2t7t58yZ+++03FBUVGQecW7duIScnB3v27LGadTg2NhZHjhyR3bfSGeFL+vrjjz9aXWdsPkVajgoVKuDGjRvGx0VFRSZTZuU4deqU8d8nT55EmTJljBcigwYNwoABA3DvvfeifPnyaNu2rc12Dh48aDOzc2FhIfz8bg8D9erVw9KlS9G5c2dUrlxZ9nvnkUcewYgRI7B//378/fffkrLkX758GdevXzcGMU6ePInGjRs73C88PBwdO3bEihUrZPWZyB6Ou+Jw3L3D1eOued+Li4uRmZmJ0NBQh/uFh4dj7NixDiuniBEeHo4BAwbYTeps/j4prVatWsZ9N27ciK5du+K+++5TfGkWkVbatGkDf39/bNiwAb/88gt++eUXSfufOnUKDRo0AHB7jBL7Ga9Xrx7S0tJk9dmewsJC+Pj4wNfXFz4+Ppg5cyYeeeQRNGvWDM2bN8fdd98tu22tf9bw8HAEBATgwoULxjHbnL3xDABGjx6N0aNH49y5c+jbty8++eQTvP/++073zdsxB4abiYqKwhNPPGGSkMaaMWPGICkpCWfOnBHddl5ensl/gtma3suXL2P8+PE4evQoiouLceHCBfz4449o06aN3XYXLFgAX19fpKamYvfu3di9ezcOHjyIDh06YNasWVb3iY+Px7p160T33ZHhw4dj7NixOHHiBADg/PnzSE5OVqz9u+66C3l5eVi8eDEKCgowceJEp9cBzpkzB6mpqbhx4wbeeecd9OnTxxghbtu2LXx8fPDqq686XDu5bt06PPjgg1Zfe+yxx/Drr79iwYIFKCoqQqVKldC0aVMcO3bM4aBsS9myZdGnTx889dRTaN26NerUqSNp//HjxyM/Px8bNmzA33//jccff9zhPg899BCOHDmC2bNno6CgAAUFBdi+fbvJOlMiuTjuysNx13XjLgD8+++/+Ouvv1BYWIgvv/wSAQEBDt8nADBkyBBMmzYNW7duhSAIuH79OhYvXuxwNo41/fv3x6JFi7Bs2TIUFRUhLy8Pa9eutTpDyJrff//duG1wcDAMBoPx90/kKQYOHIgXXngBfn5+VhMy2/P+++/jxo0bOHDgAGbMmCEq0W3r1q1RqVIlfPTRR7h58yaKioqwf/9+bN++Xe6PYNSgQQNER0dj5MiRuHLlCgoKCtC9e3ccOXIEvr6+Ft9pUmj9s4aEhKB79+549dVXcfXqVRQXF+PYsWOivye3b9+OrVu3oqCgABUqVEDZsmU5nimEAQw39M477+D69et2t2nSpAk6duyITz75xPjcCy+8YFJvuXQm5KysLJQrV87kv9IVHgDA398fGRkZ6Nq1KypVqoTGjRsjICDAJImbNTNnzsSzzz6LOnXqoFatWsb/XnjhBfz8889Wyw49/PDDOHTokMkUVmf83//9HxISEtC9e3cEBgaiTZs22Lp1qyJtA0BQUBCmTp2K559/HrVr10aFChUssuNLNWDAADzzzDOoVasW8vLyLC6eBg4ciH379qF///4229i+fTsqVKiA1q1bW329bdu2+OWXX/Duu+8iODgYPXr0QHx8PP788088+eSTsitzDBo0CPv27bN6km/vfVirVi0EBwcjNDQUTz/9NKZNm2aMvtsTGBiI5cuXY968eQgNDUWtWrXw5ptvKppMirwbx13pOO4qP+42bdrU5P1UusJTr1698OuvvyI4OBizZ8/GX3/9hTJlyjj8mePi4jB9+nS88MILCA4ORlRUlMP3ly3h4eFITk7Ghx9+iOrVqyM8PByffPKJ6HKp27dvxz333IOKFSsiISEBX331FerVqyerL0R6NWDAAOzfv9/qOdLHH39s8hkvmQFWomPHjoiKikKXLl3w2muvoXv37g6P5+vri0WLFmH37t2oV68eqlWrhueffx5Xrlxx+mfx9fXF33//jZycHNSvXx/R0dHYvn079u3bh507d2LcuHE293WHn3XWrFnIz8/H3XffjeDgYPTp0wfZ2dmi9r169SqGDBmC4OBg1K1bF1WrVsVrr70mqx9kyiA4ExojUlFSUhJSU1NVnY6tV506dUL//v3trp2fNWsWkpKSsHHjRpvb9O7dG88995wxU76rnDx5Eg0aNMCZM2dEr/Vbu3Yt+vfvL/pOHREpj+Oue467EyZMwNGjR00qpRCRPt28eRM1atTAzp07ER0dLWqfjIwM1KtXDwUFBTaXM3gKb/pZSR6+K0i3hg4dqnUXdOvGjRuYOnUqRo4caXe7P//800U9uqO4uBiff/45+vXrx0RFRG6G465teh53ich9fPvtt2jVqpXo4AURmeISEqJSSk9lK/3fhg0btO6a0bJly1C9enXUrFkTTz31lNbdMXH9+nVUqlQJK1aswLvvvqt1d4jIDXDcJSJvERERga+++gqfffaZ1l0hcltcQkJEREREREREuscZGERERERERESke8yB4UC1atUQERGhdTeIyEtkZGTgwoULWndDVzgOE5ErcRy2xHGYiFzN1ljMAIYDERER2LFjh9bdICIvERcXp3UXdIfjMBG5EsdhSxyHicjVbI3FXEJCRERERERERLrHAAYRERERERER6R4DGERERERERESkewxgEBEREREREZHuMYBBRERERERERLrHAAYRERERERER6R4DGERERERERESke5oGMJYuXYqYmBhERUUhMTHR4nVBEDB69GhERUUhNjYWO3fudLjvpUuX0K1bN0RHR6Nbt264fPmySZsnT55ExYoV8emnn6r3gxERERERERGRojQLYBQVFWHUqFFISUlBamoq5s6di9TUVJNtUlJSkJaWhrS0NCQlJWHEiBEO901MTESXLl2QlpaGLl26WARGXn75ZTz44IOu+SGJiIiIiIiISBGaBTC2bduGqKgoREZGwt/fH/369UNycrLJNsnJyRg4cCAMBgPatGmDnJwcZGdn2903OTkZgwYNAgAMGjQICxYsMLa3YMECREZGolGjRi77OYmIiIiIiIjIeZoFMLKyshAeHm58HBYWhqysLFHb2Nv37NmzCAkJAQCEhITg3LlzAIDr16/jo48+wvjx41X7mYiIiIiIiIhIHX5aHVgQBIvnDAaDqG3E7Gtu/PjxePnll1GxYkWHfUtKSkJSUhIA4Pz58w63JyIiIiIiIiJ1aRbACAsLw6lTp4yPMzMzERoaKmqb/Px8m/vWrFkT2dnZCAkJQXZ2NmrUqAEA2Lp1K/744w+88cYbyMnJgY+PD8qWLYsXXnjBom9Dhw7F0KFDAQBxcXHK/dBEREREREREJItmS0hatWqFtLQ0pKenIz8/H/PmzUNCQoLJNgkJCZg1axYEQcCWLVsQFBSEkJAQu/smJCRg5syZAICZM2eiV69eAIANGzYgIyMDGRkZeOmll/C///3PavCCiIiIiIiIiPRHswCGn58fJk+ejB49eqBhw4bo27cvGjVqhGnTpmHatGkAgPj4eERGRiIqKgpDhgzB1KlT7e4LAGPGjMGKFSsQHR2NFStWYMyYMVr9iFYt2ZeNNh+uwpGzuVp3hYiISFf+2pmJbp+vw6lLN7TuChGRV0q/cB1tJ63CP0cvaN0VIqsMgrWEEmQUFxeHHTt2KNLWsfPX0OWzdcbHGYk9FWmXiDyHkmOOp+DvxHtEjFls/De/I0krHHMs8XfiPf5v3i4k7z4NgOMwacvWuKPZDAxv9Me/mVp3gYiIiIiIiMgtMYChsHNX8zBlzVGrlVLMnb2a54IeERER6d+VGwVad4GIyOuVzL4g0isGMBT24txd+GTZYaRmX7V47du1x0wev/7HXld1i4iISNc+WnbI5HFBUbFGPSEi8k5X80wDyXszc7TpCJEdDGAo7Hp+IQCgWMR5VyFPzoiIiABYfid+tTJNo54QEXknwezSJGHyJm06QmQHAxhERESkOydYiYSIiIjMMIDhIrcKi7TuAhEREREREZHbYgBDJQJMk3je/+k6i23+OXYRuXlMWkZERERERETkCAMYCrqaV4D9WZbJOwEgK+em1edZiYSIiMj29yQREbkGZ4yTO2AAQ0EFhXcy3xQ7rqJKREREuF1xZNPRi1p3g4jIq7X+cJXWXSByiAEMlTwy5U7W3iJGM4iIiGzi9yQRkT4JAsdn0hcGMFzg8xWHte4CERGRW1m05zRPnImINPbbjlNad4HIBAMYCjIYDFaf35B2wcU9ISIicn9Xbjqf6Lp94mr8vPWEAr0hIvI+2zMua90FIhMMYGis73dbtO4CERGRLhlg/caAWHkFRcjKuYmx8/cr1CMiIpLqfO4tnLnCwgWkDAYwFGTrNGtv5hWb+1y6nq9OZ4iIiLxch4/XGP+9I+OShj0hIvJerT5YiTaTmCCUlMEAhsqOnrumdReIiIh0Ta1UF+dzbxn/vetkjjoHISIim87l3pl5sZ2BZFIAAxgqy81zfv0uERERERGRuxk5Z6fx349P26xhT8hT+GndAU9insNzW/ol7D7FxDdEREREROR9Lt/gcnlSFgMYKur7HaOMREREjrz2+x7rLziRw5MlWImIxJu1OcPq886lUiZSHpeQEBGp4FZhEfIKirTuBpFbWLwvW/E2k9YfN3n8wZKDih+DiMhTfL0qTesuEInCAIaC5JZ7W6LCiRsRaeulebuRMHmj1t0g8lrJu09r3QUiIq9WXCzg2PnrFs8ROYMBDB0Y+fNOxxsREbnY0qVLERMTg6ioKCQmJlq8LggCRo8ejaioKMTGxmLnzjtj2eDBg1GjRg00btzYZJ8JEyagdu3aaNasGZo1a4YlS5ao/nMQERGRPNduFcred2u6ZdWR+buynOkOEQMYiuIiMSLyEEVFRRg1ahRSUlKQmpqKuXPnIjU11WSblJQUpKWlIS0tDUlJSRgxYoTxtWeeeQZLly612vbLL7+M3bt3Y/fu3YiPj1f15yD3tu7Iea27QETk1VL2n0F+YbGsfYut5CJihUZyFgMYRERkYdu2bYiKikJkZCT8/f3Rr18/JCcnm2yTnJyMgQMHwmAwoE2bNsjJyUF29u0lcffddx+qVKmiRdfJg4yeu0vrLhAReQV7eY8Li+UFMIjUwAAGEZEK3L0AQlZWFsLDw42Pw8LCkJWVJXkbayZPnozY2FgMHjwYly9bLzWdlJSEuLg4xMXF4fx53oUnIiIiIgYwFGXgEhIiKkVuYl89sFaC0mA2yInZxtyIESNw7Ngx7N69GyEhIXj11Vetbjd06FDs2LEDO3bsQPXq1SX0nIiIiKTidQy5CwYwdIL16olIT8LCwnDq1Cnj48zMTISGhkrexlzNmjXh6+sLHx8fDBkyBNu2bVO240T/uVXIMsbk/phMmYjIFAMYOrF0/xmtu0BEZNSqVSukpaUhPT0d+fn5mDdvHhISEky2SUhIwKxZsyAIArZs2YKgoCCEhITYbbckRwYAzJ8/3+LEmkgJZ6/mWZTuI3I3TKZM7o73Z0kNDGAoyJmZV2ev5inWDyLSVn5hMfZlXdG6G07x8/PD5MmT0aNHDzRs2BB9+/ZFo0aNMG3aNEybNg0AEB8fj8jISERFRWHIkCGYOnWqcf8nn3wSbdu2xeHDhxEWFoYffvgBAPDGG2+gSZMmiI2NxZo1a/DFF19o8vORZzt16YbV5yevTnNxT4jkYzJl0gu5S2L7/7DV4jnGNMhZflp3gIjI03y45CCycm6ijK97LyiNj4+3uDM3fPhw478NBgOmTJlidd+5c+dafX727NnKdZBIok+XH8EL90dr3Q0iUawlSt66davDbbKyshzOhps8eTJmzZqFuLg4fPbZZwgODrbYJikpCUlJSQDAZMpe4MK1fJcc591FqXi2fT2XHIs8E2dgKMhR8joi8g4lsy8KinifgciR79Yd07oLRLrEZMrkKrtP5WjdBSLRGMDQsXaTViFizGL8e+KS1l0hIiJSxazNJ7TuApEuMZkyuUrW5Ztad4FINAYwdGLhntMmj2dsSsfpK7fzYvDkjoiIiMi7MJkyEZElBjAU5MwCkp0nc0wev7voTpbp5N2nUVzMqehE7oKLyYi0xW9M8gRMpkxEZIlJPHXI2nrG3LxCBJUvo0FviEgqXjwRiWftO4+IbmMyZXIFwcGZC9P8kZ5wBoYOzd12yvFGRKRLeQVF+PfEZa27QURERKSIkzZKUxNpgQEMBTkbnSypWz9v+0mL17KvMrkOkTvo+MkarbtA5FEuX3dNaT8iIrKu+xfrte4CkREDGDrS4eM1uFVYhL2ZVyxee+DLDRr0iIikOnv1ltZdIPIoz8/aIXmftYfPqdATIiIi0hoDGAoyKJC6r4jJOomIiIxOXLwueZ8pa46p0BMiIs+kxDWMuRmb0hVvkwhgAEN33vxzn9ZdICIiIiIiL+EoiaccpSsqEimJAQydWbTntNZdICIi8ljZV5hTiohIS5xxTs5gAENBapcY4ppeIiIi54zhTEciIk09Pu0frbtAbowBDDfy+h97te4CERGRongfjojIu+w8maN1F8iNMYBBREREmrl2q9DBFipPbyQi8nILd3MJO7kPBjDciMDbVERE5EHSL1xHbp6jAAYREalpeepZrbtAJBoDGG7kusO7VERERO7j2LlrWneBiIiI3AgDGApSO4nnzYIiHD2Xq+5BiIiIPBgnMxIREbkvBjDcTNpZ3q0iIiLPwGACERERScEABhEREemW2rMbiYiIyH0wgKEggwsypfNuFREReROlE1gzHkJEROS+GMBwMwVFxVp3gYhsKC5miJFIa99vOK51F4iIvNr+rCtad4E8GAMYbub/5u3WugtEZMPYBfu07gKR15u4+KDWXSAi8mqL92Vr3QXyYAxgKIjrdIm829xtp7TuAhE5wHlSRETSJa0/pnUXiAAwgEFEREQ6duHaLVy+nq91N4iIvNqMTRlad4EIAAMYiuIEDCIiIvEEkRk6/zl2UeWeEBERkTtgAMMN3cwv0roLREREbmn9kfMoYsJdIiJNXb9VqHUXyE0xgOGGHv/uH627QERE5LYyL9/QugtERB5LzOS69xalqt8R8kgMYCjI4KIsnvuzrrrkOERk29Fz10RPfyfyVPuzrvBzQEREkl1kbiOSiQEMN3f2ah4ixixGxJjFOHCaNZeJ1LTm0DlEjFmMP//NRNfP12He9jtVR1YdPKthz4hcb92R83jom4148KsNWneFiMhr/XviEs5ezZO9//4scdcPzPVHesEAhpvKvnITgiDgng9XGZ/7cmWahj0i8ny//3s7YPHXrkwAwN7MO1/6x89f16RPRFr5bcftz8OhM7kolplT4q+dWaK2Y5lyIiLren+7Gfd8uEp2EOOhbzYq3COO2aQuBjAU5MrP6uTVRzF9w3GT51ak8g4wkStsOsqKCESL92Yb/y33ZHXpgTMK9YaIyPtcuHbL+O/p64/b2ZLIczCA4aZ+3noSHy45pHU3iLzar9tPGv/Nuw3kzS5cc6+1zEzbQUSeoNUHK7XuglXixlgOxCQPAxgK4gUMkXcpFoCComLcKizCNZYDIy+m15NoIiJPVjpQ8P3GdFWP5apiBUSOMIDhYSalHNS6C0Qea8k+69Pd47/awBw05FVybrjXjAtzPA8nIlLPzhOXRWzFgZjkYQDDw3y3juvfiNRwsdQ609I2Hb2AY0zgSV7m0an/uPR4Yk9zc/MKVO0HERE5ti3jktZdIA/GAIaCOLWKyHOtTztv9flnZmx3cU+ItJd+wbVBO7ErpX9QeQo1EZFe/HPsgkuPJzB5EOkEAxhERCK8/OserbtApGuFRcVad0E0nocTkbvjrGvyVgxgeKArNzmFloiIXGviYuZgIiLyVMrPNGckmeRhAMMDvfLrbq27QEREXmbL8Yuqtc0FmkREpqxd/j/x3WaX94PI1TQNYCxduhQxMTGIiopCYmKixeuCIGD06NGIiopCbGwsdu7c6XDfS5cuoVu3boiOjka3bt1w+fLtLLgrVqxAy5Yt0aRJE7Rs2RKrV69W/wfUSPaVPK27QEREHurcVf1+x3BpCBF5s63p6iXPzMq5qVrbRFJoFsAoKirCqFGjkJKSgtTUVMydOxepqakm26SkpCAtLQ1paWlISkrCiBEjHO6bmJiILl26IC0tDV26dDEGN6pVq4ZFixZh3759mDlzJgYMGODaH5iIiMgDvPXXPq274DTm3CYikm67otVFOBCTPJoFMLZt24aoqChERkbC398f/fr1Q3Jyssk2ycnJGDhwIAwGA9q0aYOcnBxkZ2fb3Tc5ORmDBg0CAAwaNAgLFiwAADRv3hyhoaEAgEaNGiEvLw+3blkvi0hERETWFRRbn+agZiWuedtPKdoeZ2oQkTvLKyjC+iPWq6Op6fL1fJcfk8icZgGMrKwshIeHGx+HhYUhKytL1Db29j179ixCQkIAACEhITh37pzFsf/88080b94cAQEBVvuWlJSEuLg4xMXF4fx51w8OzkrNvoqb+UVad4OIiDyQFvfM1il8or54X7ai7RERudKJize07oLTVh48iwI3ql5F+qFZAMNaLWHzuze2thGzry0HDhzAm2++ie+++87mNkOHDsWOHTuwY8cOVK9eXVS7enPg9BWtu0DkMX7ZelLrLhDp3sHsq1p3QbRPlh3WugtERLL5eMjqi/O5nA1P0mkWwAgLC8OpU3emhGZmZhqXeDjaxt6+NWvWRHb27Tsr2dnZqFGjhsl2jz76KGbNmoX69eur8nPpBWfHEiknMYXlIYlK2Pt+OXb+msv6QURElgolzGq4fqtQxZ4QqUOzAEarVq2QlpaG9PR05OfnY968eUhISDDZJiEhAbNmzYIgCNiyZQuCgoIQEhJid9+EhATMnDkTADBz5kz06tULAJCTk4OePXti0qRJaN++vWt/WCIiIi+Qc6NA9LbWZlMSEZFzpMww+3zFERV7QqQOP80O7OeHyZMno0ePHigqKsLgwYPRqFEjTJs2DQAwfPhwxMfHY8mSJYiKikL58uUxY8YMu/sCwJgxY9C3b1/88MMPqFOnDn7//XcAwOTJk3H06FG8//77eP/99wEAy5cvN5mhQURERPYdO2d7lkWxhKDEC7/sUqI7RERUyjYJlUJuMGceuSHNAhgAEB8fj/j4eJPnhg8fbvy3wWDAlClTRO8LAFWrVsWqVassnh83bhzGjRvnZI+JiIi817mrecjKuWnzdSmTKphIk4hIeTYKRRF5DM2WkJC6Pl/OKWFERKSsq3n210urWEmViIj+M39XluONRFE+2vH8zO2Kt0lUGgMYHmrz8Ytad4GIiDyMn85T369IPat1F4iIVDd17TGbr6k5Soup+rjy4DkVe0DEAAYRkUN5haxTTgTof4ZFqgtKuQqCgIvXWPqPiIhICwxgEBHZceRsLvIZwCAC4DjHhc7jG4r4eetJtJy4EhFjFmvdFSIiC2qmwGD1KNIDBjCIiOw4cPqK1l0gchuzt5zQuguqW3/kvNZdICLyevuzrmD3qRytu0EaYADDg/1z7ILWXSAiIi+SvPu01l1Q3XLm2SAiHdtzKgc38u0nXJZLTA4MKeTO57hw7RYe+mYjHpmyCQddsHSQ9IUBDA/21PStWneByKHTOTfx+YojOHXphtZdISIH9J4DQ23muS8mpRzUqCdERLaduCjunMpdV4Rcv3UnQHPmap6GPSEtMIBBRJpql7gaX69KQ59p/2jdFavc9cudSA1Hz13TuguaKigyHRC+W3dco54QEdlWVOweJy9yY+KL9tyZ7fdvxmVlOkNugwEMItKFi9fyte4CETnw3MwdWneBiIgcEHvzxV1n1X26/Ijx35PXHNWwJ6QFBjC8zBcrjiBizGK88tturbtCpCvnc62XRRQ7DZOIPB/XWhOR1pbuP+Nwm2KREQzOMiV3xACGh9uXeaeCgiAI+GpVGgDgr51Z2J/F6gpEAPD33tNo9cFKbEu/ZPFayWeGiOjZn7Zr3QUi8nLD5/zrcBu1ZlYMmcVZeKQ9BjA83MqDd7Klm2eH/3T5YVd3h0iXtv8XuEhlyVQiIiIil5AzAWR7huXNJvIuDGB4kT/+zTR5vPbweRS7SZIf8nyFxQKW7s/W5Nj8FBDpX+mkbUrILyxWpB2WLCcid3XlZoGmx0/ZJ/287/Fpm1XoCbkTBjA8XOkpZBuPWp5kZV6+6cLeEJlamXrW5PHwOTs16ceszSc0OS4Riffi3F2KtveyQrmgUvY5Xo9ORORKBhH1PYqKBaSIyKehpomLlSlFvYOzMrwKAxge7suVt9fv/71X2TtXRM76fsNxPM+1lLq2dOlSxMTEICoqComJiRavC4KA0aNHIyoqCrGxsdi5804AavDgwahRowYaN25sss+lS5fQrVs3REdHo1u3brh8meXPPE3p3Et6tkzjE3ciIrUIIuaWik30KYVWM7v7cFaGV2EAw0u88Iv1O1d7MnNc2xEiACcv3lAs6u4sodQXuMFd64mpoKioCKNGjUJKSgpSU1Mxd+5cpKammmyTkpKCtLQ0pKWlISkpCSNGjDC+9swzz2Dp0qUW7SYmJqJLly5IS0tDly5drAZGyL09PHmjw202WZkRqHcFRcosOSFTRcUCvlx5RPOp7ESeJGHyJk2O+/VqJj4n9TGA4QUixiy2+ZrSU3KJiosFTFpyEKcu2S4/2vmzta7rkBMW79UmJ4cebNu2DVFRUYiMjIS/vz/69euH5ORkk22Sk5MxcOBAGAwGtGnTBjk5OcjOvv07u++++1ClShWLdpOTkzFo0CAAwKBBg7BgwQLVfxbSnxVmy8fcwSu/7dG6Cx5pReoZfLkyDWPn79O6K0ReRY0SqqsPnVO+USIzDGAQkaIOnrmK79Yfxwu/WM9nkZtXgCIdJY+19wU+ysbP4A2ysrIQHh5ufBwWFoasrCzJ25g7e/YsQkJCAAAhISE4d44nO+4ir6BI6y7Y9Y3EksdSRyFbSUQ5ccs5JbmP/t6brfv3GBFp6/qtQq27QDrAAAaZTKEnctaiPbfvwBfaCFJMXnPU7v4/b3VtQk2++62zNi6YL7ERs41cSUlJiIuLQ1xcHM6fP69Im+QcW0sR9eKzFUc0OS6/QpXDixNLzEVEdMecLUy6TgxgEIAPdJKLgDzDtHXH7L5eWGT/bH/s/P0Wz83enIGIMYtVmbmxtFQiv/ELD2DY7B2YvTlD8eO4m7CwMJw6dcr4ODMzE6GhoZK3MVezZk3jMpPs7GzUqFHD6nZDhw7Fjh07sGPHDlSvXl3uj0EKWnnQ/ZZ92MOJE/pTxGiQCeYiInPZV/RdPZAfYfeVm1eAW4XuMQuOAQzCTF6skQp8FJxX/f5/QTY1kuiZLxNZduAs3k4+gN7f/qP4sdxJq1atkJaWhvT0dOTn52PevHlISEgw2SYhIQGzZs2CIAjYsmULgoKCjMtDbElISMDMmTMBADNnzkSvXr1U+xmIXGF9GmcIKaWYeVJNMBcRmVu4m1UFSR1NJixHXzep5sIABhGpYl/WFZy4eB13v7MUJy5eNz7vTHT+iaQtLlvy9O8J755S6+fnh8mTJ6NHjx5o2LAh+vbti0aNGmHatGmYNm0aACA+Ph6RkZGIiorCkCFDMHXqVOP+Tz75JNq2bYvDhw8jLCwMP/zwAwBgzJgxWLFiBaKjo7FixQqMGTNGk5+PSCknLt7QrHSgu8vKMb2bvOqQZ83ycZbWuYi4lE9/lLw5JKbUqjthDh35jp7LBQDsybyC/EL9R5L9tO4AaY/TvUgtHy45iBv5RZi/Kwsvdb0LAHD8wjXZ7e05lYN6by3Bhjc6I7xKeaW6STbEx8cjPj7e5Lnhw4cb/20wGDBlyhSr+86dO9fq81WrVsWqVauU6ySRTEp+9XlTIs+zV/Pg62NAtYoBTrfV4aPVJo/Hzt+Pp++p63S7nkLrXERDhw7F0KFDAQBxcXGKtEnO8aaxxhp7P//UNUfxSvcY13XGg3T9fL3x31+sPII3H2igYW8c4wwMsplskUiKG/mF+GCx6drcZQcs76atPSztLk5hUbFFNPjwmVy7++TmFWDJPu8tgUpEpJZ7PlyFuIkrFbnbydMP+7TORUSkN/Zuut7I5wwMJZy5kqd1FxxiAIMAAJuPXdS6C+Tm7n5nGaZvSLf62s38Itknu4v2Sl/v+cYfezHy5504ctZ+oGP+rkxZfSIi57hb9as9p3K07oIuHD9/ZwbdmD/3atgT78BcRGROqdk1RLaokTBfaQxgEAAg/cJ1xxsRyfTd+uNo9t5yWVHdWwXS1+KVrKu+aScav+dUDl7+dY/ktonIMXcohynlMmDXSe/OiVPi0al3khvvzbyiYU+8A3MRkTMyL9/QuguKm5RySOsueBzzyiPFbnCDgTkwCIDnJfIh/ckrKEabSfrJfeAOF1hE7mrm5gyM7BRl83U93EVU8ltPELxjbXpuXoHWXfA6zEVEcj0y5R/sGNdV626Qzn2xIs3k8d97s/HFE8Uo46vfeQ767Rm51NQ1x7TuApFVci4yxASPGbIjUo+jz6C7LSGh20r/1Y5fuI4b+QwEE7mSlLHzwrVbDtpytjdW2uTZlUv8e+IS3luU6nhDEc5etZwdrfeKLgxgEADLUmZEUlxTcTZD2lnLqiXLDpyxu0/JF+ilG/mq9ImIvIseZoxoTRAEiwseNcpNMyhCpG+j5+7Sugter/e3m/HjpnSsTHW+9LS1bze9p8FgAIOInHKrsAiNxy9TtM2b+UUo/m/0/HGTZWLQ3//NxMPfbHS4vvPZGdttvsYbwETi7fTyHBCcMWK9qpQzFu+1XinqxV94cURki5LB1Fd+2y1rv4V7rCdXFwQB+7OuOtEjEiOjVN7C52ftcL5BK28pvX/nMYBBRE6ZtET5hEoN31mKDh+vsbvNvqwr+N5G1RMxX6Cc5kje5GpeAdonrsaklIOy9t99MkfZDslUrOBtIc6pkOa8g+noUq07cs7q8/96ebCMyJ73/1Zm2QAALNlnfzarVKnZ8oIXhUXSk7Vb4y0T5VYeVDaYbI3O4xcMYNAd45P3a90FckPHzlsu8VBCVs5NTFtnPzeL+ZfV2Pn7EDFmsclz+5gpnwi9p/6DrJyb+G7dcezNzNG6O7iaJ2+ZgLUZWXIVSgiGOLrr6YoTSs0pfEZrsBFC0vuJMxFZl18oLxDxv/n7FDn+LZnHd3c5Ti6XtjUW6xkDGGQ0c/MJrbtAOvfSvF2IGLMYTUotGVHzZDNRYrmsn7eetHju4ckbleoOkdtKO3cn0Pjp8iOS91f6ztb8XVmy9jt23nrJb7kJx1YpFHgYOvtfRdrxJrbeU3qfukzkjCNnc7HIxhIMb7Voj/XlZFLN8tLrmBedzEny585MhXriOgxgkAklp+eS51mw+/aXbu6tQnyz6nbZpSs3tSurl3lZfvJZniOTt/j3xCWTx9dklMLU+/2ZdxcdkLXfGSvZ1635bccpWe17umfs5BmSi0MzeaozV/LQ/Yv1eHHuLqSe9rxcEfzsusbExaZLQc9dlb+8z1Zp7Ld1PiufAQwy8a2DKfvkvczvin224gguX8/HviztlmisUCD7MpGnSzFb57zzZA6u3NAu8OgMW3ftj55TZylbiQMeeLEhlbWLkyInbnrYnoEhu0kiXft27VHjv+O/3qBhT9zTszO2ad0Fj2NruP3bRpJlvWAAg0zs/+9i9GpeAVYfOotzueLuTpHni//acilG8/dXaNATZfAcmbyFtQvFy25aYpgXt9p5J1neLBcium3WFu9c4qCUNYfPa90Fj6P32ZW2+GndAdKXlP1ncOHaLcRNXGl87q0HG2BYx/oa9or04KDM7NJ6xXXW5C0Kilz/Xj+m8owIc/w4uyPrp87uekJN5Ij5OHX0XC6iagSqesyiYgG+Pq75VHEcJlfhDAyyUDp4AQCTUg7JTpBGnsGZacJqu5pXgHnbTuKinRJ/aw9blutTY+02kR799E+GxXNSP9FSt//LTpJOZ4KH3lImzxvwb0nexNq4JzVRuRy/M3+Pxzt8Nhfnc5Utc613DGCQKD9sVK50HbmfW4X6DWA9/u1mjPlrH974Y6/NbRisIDI1Yo60qhm8s0ZKW7jbeiWG3FuFug6aE7mTa7fklayWg0FJ7Rw7L2/Wo6MS4XrFAAaJ8smyw6xQ4sX0XCP68NlcAECehCDLmSvM7ULe7dCZXM2O7UwwxNZIxG8n95JfWGz3wooJmsnTLNIoKSKDz55lzSHLGcXO0O/ZvX2iAxjXr19HUZF+78KS+uRG98j9WVuCoTebjl4Uva0nZv/mGE1q2nT0gtZdAKB8oIIn99oQHPwl84uKXdQTZXEcJltGz91l8dzKg/o/t5KC46n6nv2JM4oBOwGM4uJi/PLLL+jZsydq1KiBBg0aICQkBI0aNcLrr7+OtLQ0V/aTdKDbF+u17gJpoLCoGCN+3ql1NxR16bp7VmAojWM0udIqhe/6kKXiYsEtkwt/v+G45H0czepzl98Dx2Fy1tmr4meE7si4pGJPyBvddNMchzYDGJ07d8axY8cwadIknDlzBqdOncK5c+ewYcMGtGnTBmPGjMGcOXNc2Vci0sCbf+7TugtkBcdoEkOPU/GduTS1ddkrdxqsXpb/rjl8DpH/W4JJLkjqp7SJiw8q3qabxC84DpPTpLzX+0zbLL19LrDzCnK/yswLN5R2WMOlpo7YLKO6cuVKlClTxuL5KlWqoHfv3ujduzcKCgpU7RwRae/PnZlad0FR7nJnzxGO0STGkFk7bL6WV1CEsmV8Xdgb9aj5qRabUNKZcoXP/pdoOGn9cfwvvqGsNtR01MVlcd0Fx2HSO1ee8izcbbv6lLOYh8/1BvywFdvGdtW6G1bZnIFRekDeuHEjZsyYAQA4f/480tPTLbYh77A/64rV5x/4cj0mr+ZUSdK/WZtPaN0FRXCMJmeN0mhpmJ6CiGK68vi0f0S19eESZWYibEg7r0g7Sur6+TqXHs9d7hpzHCYx7FVy0+q97uxS2is3LQNzM1U8v/p23TFR232wONWp45zOuYmsnJtOtaGFQi8L8DhM4vnuu+/io48+wqRJkwAABQUF6N+/v+odI33actx6osRDZ3Lx6fIjKHDTxFvkPY6c1e+UODk4RpNc647o70JZj3aezBG1ndzs8D9vNT3pP+2GJ89SOVq6o6MYlygch8metxfst/nahVx1c3LZ+igNny2tlLa5L1YccWp/qWxdf5ibviFd9jFS9mWjXeJqtE9cLbsNrTz9/VbF29TzMOwwgDF//nwsXLgQFSpUAACEhoYiN9ezLgBIvImLD9q9e/bp8sMu7A2pTU93SpXiaT8Rx2iSS6vPghrHlTtW6SEHxtQ1pncWPXDYteDoZ3S33wHHYbLn3xOXbb728OSNqh7b1mfpjITkodbbdbMPqQhvJ98JNKVfuK5hT8gRhwEMf39/GAwGGP77lr9+nX9Qb7fW7K5d6Sjsd+ukZyMn/dpy3HMyXi/dn42b+UUe96XLMZr06ma+9WnTf+89LbvNvZmWyxgLiopFz5JwBwdOX9W6CyQRx2Gyx6BhpPSjpdYTA7vLMi1XunDtzmyYJ5O2aNgT646dd20uIj2fLjsMYPTt2xfDhg1DTk4Opk+fjq5du2LIkCGu6BvpVKrZydVXq0xzX1zNY8IqT+FJU5mHz9mJdxcdQLGHrXLiGE1yqX1K3fnTtVaff/nXPbLb3Jd1BYVmSxXTzso/qdPjCdrsLZ6Rp8cZepgZIwXHYbLHzd7OoigZlNFDKc9/T5jesLueX6hRT2x7/2/n8ntIp8MvyP/YrEJS4rXXXsOKFStQqVIlHD58GO+99x66devmir6RTn2y7DBu5BeiT8twRFQtb/F67ITlyEjsqUHPSGmv/i7/QkOPMi/fREhQWa27oSiO0WTLP0cv2H1d7VMTZ6co26Jkv/UwI8sdE8Y5K89OUkN3xHGYyDlrD59Dp5gamh3/zJVbmh1bLFd/Xeng69EmhwEMALjrrrtgMBjQtWtX3LhxA7m5uQgMDFS7b26pRZ3KHjWV1ZYpa45hyppjGNS2rtXXMy/fQFiwZXCD3IcnJmTdln4J+R74c3GMJmvec3C3pqhYgCAImk5vVoIzU6HfTj6AAW0jlOuMRNszPGeZnhQt319h9/VXftuDx1qEuag3yuA4TLa4+RDrEudy9RVAyM0rxOmcmwitXE7rrmhGx/ELx0tIpk+fjj59+mDYsGEAgKysLDzyyCNq98ttzXruHruvt42siv/FN3BRb9Rnq2RSXoHnXSR6qogxi/HWX/ssnh86a4cGvVGXq4MXretVUf0YHKPJFjGBiSX7zrigJ8rS7bWAjI5dueEZSy6Td2dJ2r6gSM+nxtJxHCZbBEHAESeWualFz3fXrdEi0L4tXV8BZlf/yXT7XQsRAYwpU6Zg06ZNqFSpEgAgOjoa587JKxXmDSoG2J/UUiwIeO7eSBf1RjtFXlaP2N3N3XbSIkv2msMsseisX563H9BUAsdoskXMyUfOTccl/P45Zn8pCv3Hi7/2UrO9O/Eox2GyZYedCiQlsq+4fhmZuwUw1Dbql50Wz+kt0anSSx5zbqhbwldNDgMYAQEB8Pf3Nz4uLCx0++mmavvxmTibrzWvEwxfHwP+HdcVr3a7y4W9ci2WU3U/vb/9h4Enhfn6qD9WcowmtT01Xfn68kryxBPxzMs3tO6C0ZWbnjFLRE0ch8mWgkLHMz/FVLxYdsD9ZsuRvg2d/a/d1y9e12+Aw2EAo2PHjvjwww9x8+ZNrFixAo8//jgefvhhV/TNbXW2kYRm+cv34bXut4MWVSsGoGdsiCu75VIrUs9q3QUS4bzZmkMGMJTlihNYjtFkC6+fXEzB3/e9H61xug1BENBryiZEjFnsVHWw9xa5OvO9++E4TM4wPxezZo4XVycSBAHrj3BWsCOfrzgiafv0C47LPe/NzJHZG3U5DGB89NFHqF69Opo0aYLvvvsO8fHxmDhxoiv65rYMBgPqVatg8tz4h+/GXTUD4ed751ceWb2iq7vmUnk6KItE9nX4eLXJ45OXbg9mesjM7+7ujarmkuNwjCZbGMBwXsq+bFXbv6TiFN79WVex51QOAMcVaey5doszMBzhOEzupKhYULz6kXl5ayVlXNRmRlrWZfeqEPX1qjTF2zyt0ypZdhM2FBcXIzY2Fvv372c9a4nMc2HUCLReujEwwA+5t6zXGo5vUsstE6yVWLTnNB6PC9e6G2SHebLVrp+v16gnnmeOC/JfcIwmezw1DunKH+vPnRKSU8ro2Bt/7JW+k0ilL1CGz9kpu7y5mPeRQdfp3tTFcZjs0sFHo7hYgE+pJa0rDzo/S9o8QP7Sr7udblNvPl1+BC/cH611N4w2pCmbj0oHb03Z7M7A8PHxQdOmTXHy5ElX9cdjJA1safx34mNNEN+klvUNrbx7dr3dDctfvg9Tn25p+aIbeV3FEzNy3l87M7Xugtva+GZnu68/2bqOS/rBMZpsuZlfhAOn9ZdY8cI1fZXKU9LxC9dxq1A/Mw+Hz7G/vlksD42DKYbjMNmjh+De499tNnlcqEIVoL/3qjtbTYpVEgM0rlg+vXDPaVy3ccNajHO5eQr2xv3ZL5kBIDs7G40aNULr1q1RocKdZRELFy5UtWPuLiSoHKY+3QJnr+ahn52LmUahlbDluGmZnuAK/giu4G9jDyJlzNt+SusuuKWD7z2Acv6+2P1ON/T8eqPFNMy/X7wXjWsHuaw/HKPJmn1ZV0RtN/Hvg3j6nrqq9WPVwbPo0rCm8fEQDyzPXNq29EvoEF1d624oylNn8iiJ4zDZoodKFuZV5pTILz5jUwbGP9zI+YZEkNrdT5YdNvneceT5mdslHkGaiDGLAQC9moXiq37NZbWRl6/eEh179Dr+OwxgjB8/3hX98EjxTRwn6UwaGIc9p3Iw4IdtVl9f9tJ96PGl+07rv5FfiPL+Dt9mpAG91bd2B5vfuh/l/H0BAJXL+6NPyzB8ZbbmsEGtQJf2iWM0WSM2/8VNlXMV/bAx3eREMjuHd5G0svPkZbSoE6x1NzwSx2Gy5eetjmfmXM93PA4reSHpbvmR1L6GXnPYNQlCk3efxqTHmsi6LtJDIExPHP4GO3bs6Ip+eK1KZcugQ3R1ZCT2xOZjFy0ywsbUCkTVCv66LmVjz5//ZmJA2witu0GkiJCgciaP45uEmAQwmtepbJKo1xU4RpM1ejk/NT/pVuLOn3mbv2zj1H1z1qZEPzb1H5l5MByfOOvtgujouVxsz7jssuV8HIfJlsUil1bsz7riwtmbOvvAerCj566ZPD556QYa1KokuR29zoTQisMz7cDAQFSqVMnkv/DwcDz66KM4fvy4K/roNdrWr4qn7rH8sh3Rqb4GvVEGP2/6ZD6dkOSJqRWIjMSemD+yHepVq4DEx2Jd3geO0eRO1Cgt/IuIO5zuKPuK/Ozvr/2+R8GeOOZMlRM19PhyA976a5/LjsdxmJx16EyuC4/mXmfn7hxu6fr5OpPHcnOiqPEXE/N1rNd3isMZGK+88gpCQ0Px1FNPQRAEzJs3D2fOnEFMTAwGDx6MtWvXuqCb3u3pe+pi4uKDTrfTLLwydv9XUs1VJi4+iIGcgaE7vb/9R+suuJ0/R7S1+VrzOsFY81on13WmFI7RnkUQBExKOYRKZf10lf1cLjXuzH+09BDefuhu5Ru2QsuZBR8uOYRvnpS3Xnr+LgnVUxwQc+dvT6a4nCsAcOqS+iURS2ag/Lb9FPq2Ur8aGsdh8kaCIKgSlPZk53LzEOPipcaeyOEMjKVLl2LYsGHG6PLQoUOxZMkSPPHEE7h8mXdxXaGcvy+ebR9h9bXqgQFoG1kVH/exf+d305j78bMLyjqayy8sRoGKtaGJXKVl3Spad8EqjtGeZUXqWSStP45Plx/BNScylit1TikoPG9ViX79sDHd+UZEUnPa7pbjFx0cWx/3vpTuxbM/iUuYt1FmycDVh+5UIHjjT9dUQ+M4TGpTMgdC9hXmIhLr27XHFG3PVs5DR/TyfaAXDgMYPj4++O2331BcXIzi4mL89ttvxtcYdXOdt3tav9v0+7C2mDu0DfrGhaNrwxpWt3nqnjqoXbkcKgT44csnmqnYS+tGKFTKjYgscYz2LL/tuFMdKOGbjbLbUepcZ+Y/Gco05CWkTA/ul7RFxZ5YJ/UkWBAErD50TtE+5IlMHNv/h62y2k/VoHwwx2FSU15BETYdtR/wlOLdRamKtaUUe5+S3Dz5wXxnfbT0kOx9b+S7vt+5eQWitz171XFZc73GTRwGMH7++WfMnj0bNWrUQM2aNTF79mzMmTMHN2/exOTJk13RRwLg42PA6lc7YvT9UQCADx5tjIzEnoiodqdc15SnW2BsfEM8d289k33fS7hT5uiR5rUx7L5I13T6PysPKnvyQ6S0l7veZff1/e/2cFFPpOMY7VlKj5fHzZI6a2GDzLvgnkLqtafeM8X/uVPa0pLzuY5PcPVGixNujsOe58MlBxExZjHSzroyN4V1p3Pk58MpceC0+GVeWnj9D9uzpR6eLD+Y78i/J9SryJe0Xrn8N2KHtekij7k9w70rETrMgREZGYlFixZZfe3ee+9VvENkW2T1inilewxe6R5j9fUAP18M+S84cfl6Pv76bw2seVWEV7rfhe8U/FARubv/6xqNIffVw93vLLN4rXHtSqgYoN9SwByjyZpxC/aL3tZe9ntnrwUzSgVhcvMKkHnZ+RNxpV25WYCgcmUsni8oKsaK1LNW9nANub97e7MspAYk9B2O0Q+Ow56n5OLzjT/3Yv7I9hr3xnmfLjuMGc+2VrRNQbgd5M1SIMCilT/+VS5fkLnCIv2OoBdEfhf8uCkdPWNDZB3j2Plr6PLZOqx5rRPqlbrhrgSHMzCOHDmCLl26oHHjxgCAvXv3YuLEiYp2gpQ3qXcTTOvfEvNHtrN4LcDPF+mT4pGR2NNitoZauHZLP8Yni7+w8QZzh7QBAJT390PHu6pbvH7xmr5LGHOM9mybZFZ3kJLR/iEnlqo4cvpKHs7l3l5vreQUaCV1+Wyt1eflzD6Qm2HeKplfm3/8m2nzNT2sZvDE0wGOw57l772njf/edTLHJbncdp9y31wp83faHnPI0pWb4pd5lHjrT5FVlRQe5J2pWjh78wkAwF8qvD8cBjCGDBmCSZMmoUyZ23cnYmNjMW/ePEUOvnTpUsTExCAqKgqJiYkWrwuCgNGjRyMqKgqxsbHYuXOnw30vXbqEbt26ITo6Gt26dTNJnjRp0iRERUUhJiYGy5ZZ3mn1JAF+vnigcS00rxNs9fWSNZklmdyrVvDHjGdboW7V8qKPcU+9KnjzgQYY1tHxkhRbdwNnbc5AxJjF+G6dsklyyLrrtwox878BhW5rW7+q8d8znmll8fqYBxu4sjuSqTlGk2tZ+5J/+dfdru+Iwq7KOFlzpQsKBin1sITk7FXbCfp0EL9wuZ0n1b8w5DjsWV74ZZfJ45KqNlLN3iL+fGvOFtvloLUfVTyXmkFdW98HA2Tk99nmhks+fvovh9Y3q48q3rbDAMaNGzfQurXplCM/P+enUxcVFWHUqFFISUlBamoq5s6di9RU06QyKSkpSEtLQ1paGpKSkjBixAiH+yYmJqJLly5IS0tDly5djMGN1NRUzJs3DwcOHMDSpUsxcuRIFBWJSyTl6Q6+9wA2jbkfnWNqYO1rnVCnyu0gxo5xXZGR2NNk22bhlQEAeyd0x6/D2mJEp/p468GGGNKhHkZ2qm/zGD9vvT0wFxQVo+X7K/D1qjQcPZeLd5IPAAAmpchPkkPiSfky9QbhVcqZPPbxMf0m2/BGZ/RqVtuVXZJMrTGaXO+V3/ZYPKf1iauSs+f0cPffG9j7k0nO6aH1G1CGz1YcMXnsioSFHIc921UJiRFLe1vCUj61qfFRfu9v/SUDBfSTOHd7hvXg6V4JZael0sdPrj6HAYxq1arh2LFjxjfDH3/8gZAQeWthStu2bRuioqIQGRkJf39/9OvXD8nJySbbJCcnY+DAgTAYDGjTpg1ycnKQnZ1td9/k5GQMGjQIADBo0CAsWLDA+Hy/fv0QEBCAevXqISoqCtu2yStl42nK+fuibBlfALc/9Ktf7YgD7/ZAtYoBFtsuGNUeGYk9Uams6XrhsT3vxhsPNMCPz8ThmXYRqFWprMW+3284juixKbh4PR+frziCrp+vN3l909ELLLmqsskqREHd2ce9m1o8t+rVjgCAr/o1Q3gV8TOStKLWGE0EaB9AcTdKLiFZvC9bVgCJfzPX4zjs2Vp/sErT4ysZSNyQdl6xtn7SaZWqg9mur0RkzbZ018+a0EnsRnUOAxhTpkzBsGHDcOjQIdSuXRtffvklvv32W6cPnJWVhfDwcOPjsLAwZGVlidrG3r5nz541fmmEhITg3Llzoo9XIikpCXFxcYiLi8P588p90N2Fn68PKlhJWvhS12iH+97foCYmJDTCy90st524+KDdfZ/+fiuix6YYHy/ccxoRYxbj2i3tyid5GqV/l+/3aoQ/R7RF14Y1nW4rvEo5jLAzi0cN99SrYvFc/eoVkZHYU/czL0qoNUaTPrhjFQhb1DivspfvQQtiS3+KDUzk3FB2+U3S+nRF25PDE0+wOQ57jtWHtEvca5vzEYy1h89DEAQM+EH5m7d6nKm1P0u5WQ7ulMdP0TxMOiaqCsnKlStx/fp1FBcXIzAwUJEDW3szmE/5sbWNmH3lHK/E0KFDMXToUABAXFyc3Xa9xUOxIXjJQanJ0p5oVQdvik04Y8XS/dkYPff2GsSsyzdRUFSM1OyreDg2FOX8fWW36+lmbc4wLsuZObi1SVLKz82m1cp1f4MaCA8uhxfuj0b1wNuzdL4fVAUb0y6IPnm3ZsMb9wO4vV6+ZMmRswwGoGGtSki1Eo0/PPEBiyUj7kitMZr042D2VTQMqaR1N5yWV6j8DLvXfrdcduMOfhcZeJFz2mzvXPvCNalVSJQ/cXf1tYArRnmOw55Daqlhd6LHKlBquZEvLk3ArQLH30tztpzAgLYRTvbINTwxQGyNzQDG559/bnfHV155xakDh4WF4dSpU8bHmZmZCA0NFbVNfn6+zX1r1qyJ7OxshISEIDs7GzVq1BB9PLJu34TuKFdGetBg34TuaDJhueT9DmZfxfA5dxK2/rUz01j29ZvVacYLXbJUErwAgEE/bsPW/3VBzf+W83y9Ks3p9utXr4AfrSS6BIB7o6vh4HsPYOCPW22u+7Pl4HsPGP/9waNNMKpzFNolrnaqr/3b1MHER5pAEATUe2uJxesBfu4dCFN7jCbXsneH58TF65oFMJS42EzefRqvdo8xBqWVcOZKHmoFWS5VdBepp9Wb4rwtQ5tqL0Nm7cD0gd5104fjsOfxkus/RRXITHKqteJiAX+KqJCx+9QVDGjrgg4pQC/vX/MZ3/mFxfD3c7jwQzSbLeXm5iI3Nxc7duzAt99+a1y6MW3aNItkm3K0atUKaWlpSE9PR35+PubNm4eEhASTbRISEjBr1iwIgoAtW7YgKCgIISEhdvdNSEjAzJkzAQAzZ85Er169jM/PmzcPt27dQnp6OtLS0iwSLpF1gWXLwM9X+psu0CxPhlgPfrXB5HFJ8AIATl3ynuixFIIgWL0Tec+HqxAxZjEixiy2eK1KBX/R7UfVqIiHm4Zi5Ssd7W5Xzt8Xvw9vh0PvP4C9E7qLarttZFWLWTWhlcuhQS3LO1izn2uNL59oJqrdiY80AXB7ptXKV+4TtY87UXuMJtf6bccpm6+54o51sY0T0HVHnF9GqUYG8udnbVe8TT2SM3VZq3K1K1L1OPVe3TuSHIc9j63Z2UfOii9NrbQFu0473kgEtZZkK3GDzBY1l28Uabg05PJ15apf6VGbD03zxnT/Yp2i7ducgTF+/PjbB+zeHTt37jROh5swYQIef/xx5w/s54fJkyejR48eKCoqwuDBg9GoUSNMmzYNADB8+HDEx8djyZIliIqKQvny5TFjxgy7+wLAmDFj0LdvX/zwww+oU6cOfv/9dwBAo0aN0LdvX9x9993w8/PDlClT4Ovr3ndgyf39vPUEwoLLmyz1MFeyNOORZqFoF1UNfePCLbb5ZdtJyWvBd77dzWpgw9z61zujjoTyugBQtsztxLDrX+8MP1+DzdkUT99Tx1jK19zSl24HHUr6+FW/Zrg3qhoMBgNmbs7ArpM5No8/a7BpcDKqRiDG9WxozMPyf10c53PRO7XHaBLn4rVb8PPxQVB5eQHbElvtJPuSeoolJxnytPXHMLJTlMlz53Jtl+PU2tWb7p0byV2m+R7KVvairbCoGFk5nnMjguOw93h2xnZsGqPuDGBbywUnr1EmCGx+g9AdOMqf5wpqLKX7c2cmnu8QqXi7n604ghd1cI5rHizLuHhD0fYd5sA4efIk/P3v3Kn19/dHRkaGIgePj49HfHy8yXPDhw83/ttgMGDKlCmi9wWAqlWrYtUq69mCx44di7FjxzrRY5Kq9EWjUq7mFVhUQXFHxcUCxs6/XWJr2H2RGPNgA4vIf35hsTGvxILdp7Fg92k0D6+M6JqmsxPkJrKbObg1Bv1oP6GT1OCFtX03v3U/3vhjLzakXTB5/X/xDY0VcGxZ9MK9KCguRos6wcbn/hrRzuqykBIVy1oObQPbRqCMrw+evqeOrBlFeqXmGE2OtZy4EsDt2UEdom0HIh2xl3hL6k2iF37Z6XgjM9YSnhUW6XdasCsCAO4SZFDTsz8pO9Nlw9ELjjdyQxyHPUfKvmzNjv3gVxuQkdhTs+PLsftUjqrtz9ikXuJhNYd4R7MX9VLq1V05DGAMGDAArVu3xqOPPgqDwYD58+cby5QSOfJ8h0jFAxiTlhzEpMdiFW1TC6WXfHy3/jie61APNQJN13Rbm1be7Yv1Jl9wuXkFdmcj2NMhqprd1/eJXAbiSEhQOcwa3BqrDp7DjYIi1KpUFq2tVACxpklYkMVzBoMBi0ffi55fb7RxPMu18f5+PhjULkJSv90Bx2h9eG9RKlY4WGJlj71zmUNnrqJnrPiSjMsOSJ/Kby2AomT4YtwC+UmdtdJ2knN5eJSg3xCSPLaWKtly+Xo+giUsd7Tm1KUbKCwqVjVwzXHYM1y5UYBChfI5uFPlCme87qaJlNXm6Oag1uGLET9Lv9GhJw5H87Fjx2LGjBkIDg5G5cqVMWPGDLz11luu6Bt5iGn9WyrantjMwnr31y6zTNdm33V7M3MwbsF+q/uWvlt6wolpWT4+BpvR/rlD2sjOY2KNwWBA17trIqFpqOjghT2NQi0DGwDQrn5VhASVc7p9d8ExWjuTUu4EZ28WqDcuqZFDwtXmbFGmshB5l4+XHXK6jQvX8nFR5fXmHIc9Q2Gx7eV3UgMSC3Z7bjWT0tLOXdO6C7KJ/ouqEIuSMgHjx43al7/WG5szMK5du4aKFSsCAFq0aIEWLVrY3YbIlkrlHE70kWT1oXOKtqeFpPXHLJ7r9OlapJaqxpEweZPN/V/5bTeWv9wRBUXFeCfZepDDnvd7NTJ5/M+Y+zF09g7sz7qKiKrlsfb1zpLb1IufnvWO5Lwco7X33bo7CYYzL99EVs5N1K7spsEzKydTer+DeOqSsmtq9UiNP8Hnyw/jle4xyjesAqk/v9zllHJxHPYs9qb150tcUnfkrPte2GtlQ9p5p5ZiuhMpMzBK3yyh22zOwOjVqxdeffVVrF+/HtevXzc+f/z4cfzwww/o0aMHli5d6pJOkntT+m54bp57J28rLCrGh0ss7yrdyC9CxJjFOCliRkVBkYDcvAJEj03BThnLR5qEVTZ5HFq5HP5+sQM2vNHZrYIX80e2M3k8b2gbRcs06RnHaP05cfG6441IEQWFxVi6/4zW3ZAt44K498rIn/9V/Nhfe8CMHlusVeMC1JuuzXFYHz5ffhgRYxZj63H1KvBcuHbLK4KmWhrwg/1lF1pRI5TvTjkw5OTVUpvNM/1Vq1ahS5cu+O6779CoUSNUqlQJVatWRf/+/XHmzBnMnDkTffr0cWVfyU3Vq1bB4rnFo+91qs3rKpWCcgVHU83v+2QNek22ntuhRPqF62gyYbnsPjQLr2z1+fAq8hN2aqF5nWD8+EwcAOD7gXFoE1lV4x65Dsdoz1FULLj8zrE5a6dSep6AcfpKHk4qeDFx2sWVMdYcFleednvGZUnt7jopbXtX0/N7Sg6Ow/pQEpR7ImmLU+04uqTUspQqKe/vveLK0843X/KtgG0ZtiuPmdN63Px7r3aJbW2xO7ffVqUPIqnim9RCfmExGoUGoWFIIBqFBqFBrUAcOiPvy6DR+GXYO6G7W1YjifuvaoE9ezItKwKQdfc3qIktb3VBLSuJOz0dx2jPoGb+DLG2SziZ0otj55Wboj1xcSqmPq1sviYtPDr1H627oE8q3uzkOKwtJWe+OboprlB+T9KJl38Vn4D0Rn4hyvsrtyR+8d5sTHlK3LZ821nyjrnWpLmpT7fE94Na4eVud+GBxrez6T/WorZTbY6co78pTY5cuHYLtwptJ4kiebwxeEHa+veE5Z3urMvy7uLrYSLp2au3cOVGgclzeToIrNizz0rpVyLyLkv2mS4lW3NYfp600zl5dl93RV6gHWbB5HSRy83I1I4TygbltZwFofd8VOb2ZuZYfT719FXFjsEABmlmSIdIp/bfePSC1el8124VIl+nQYIRc5RfzyyVv4ql5Ii8xZ5TORbPvf7HXlltiVkK64qpy/lFpuNmty/Wq35MZ+g1H9I/xy5o3QXNOFreKfU0XKnzdmtlgskzCGbvqs+WH5bdVvzXGxwcS30/bzWt2PTYVNsJ3T3drcIi2bNePl4q/31gjZRuJCtcgca9whfA+IUHrD6//7RyNx14JUOaMRgMmPxUc6fa6P7FemTl3ESfb/9Bn29vT51tPH4Z+n+/VYkuKu5c7i2tu4Al/9dB6y4QuT1Xn1B0d0EwwY1yiunaU9P1+f3jCm/8KS+IR+QOXHEj3HwYvnKzwOp23uCvnfopRStlFsRP/2QofGxFm1Odrf4qeYohKoCxceNGzJgxAwBw/vx5pKezHi0po2vDmk630T5xNXacuIwdJy4bZ15ISY7jSj46uEKIqsFybp5GrTF66dKliImJQVRUFBITEy1eFwQBo0ePRlRUFGJjY7Fz506H+06YMAG1a9dGs2bN0KxZMyxZskSRvrozJe8Or3Vi+rT2o5N+FKu42N1dpgPfKpS+hEjpSjxKfWW64quX58raWH7grMuOte6I+PFV9sfc7L3qHqOFOgrdNOmI1kN8mhckm3UYwHj33Xfx0UcfYdKkSQCAgoIC9O/fX/WOkXdQ+oL+rnEpirYn14SFB9BkwjJsSDuP3f9NNf956wnN1zI+EReu6fFJeWqN0UVFRRg1ahRSUlKQmpqKuXPnIjU11WSblJQUpKWlIS0tDUlJSRgxYoSofV9++WXs3r0bu3fvZvI7he22srRFLHcq66a2dxdZnwLrKcTkN3n1N/EJ7ko4Csa5S/BGKjXPlRlIts98zJObi0iMudtOid522rpjso7B5U536Ok3IWXk0nqU0+vyTyXPMRwGMObPn4+FCxeiQoXbpTBDQ0ORm+v5kR1yDR8VR6ej55TLUC9W+oXriBizGD/9k4HcvEIM+GEbHpmyCR8vPYSx8/e7vD/mhneqr3UXSGFqjdHbtm1DVFQUIiMj4e/vj379+iE5Odlkm+TkZAwcOBAGgwFt2rRBTk4OsrOzRe3r7pS8EFMybuCh14cu99sO9cra6uFv9N7fqQ63WSuy1Gtpjt7LQ2drkwdK7QshtcZhBpKlu3yjAKcULLGsNT2MFyQR/2hWuXQJib+/PwwGgzFqcv06s+GScnxVjGD8sPG4am3bsiL1jNXnp66VF4lXmp6i2aQMtcborKwshIffmbETFhaGrKwsUds42nfy5MmIjY3F4MGDcfmyZTUPAEhKSkJcXBzi4uJw/rz0Cym1TVx8ULG2zJNnaiVD4en/7sSVdz3VqkQlZdmLmAs8PcyW0EEXRFFrHGYgWR495BuTa+NR/X3faUVPkwLVGItO5zieLaRk5Y4SmZfdP8DnMIDRt29fDBs2DDk5OZg+fTq6du2KIUOGuKJv5AXUnLJcrME1wYdLDrn+oBIEl/fXugukMLXGaGsXL+afV1vb2Nt3xIgROHbsGHbv3o2QkBC8+uqrVo8/dOhQ7NixAzt27ED16tXl/Aia2C4j/07c+ytV6Il0j039R+su6IaaJ85tJq2StL3YZUFT1x6V0Rtl6eh6w4Tay6PUGocZSPY+Z6/ecljNx5MVuCigP329xJucEgIYYjdtl7ja4TbOLAu15b6P1yjeZmm2fn4lh2GHAYzXXnsNffr0Qe/evXH48GG89957ePHFF5XrAXm9GoEBqrS7cM9pXDP7Esi5kY+IMYuxIlV60ic5Cc305JFmoQgqX0brbpDC1Bqjw8LCcOrUnfW+mZmZCA0NFbWNvX1r1qwJX19f+Pj4YMiQIdi2bZvTfdWTx6dtlryP2BkYriilWsKTpmDrjdSqAs/OEPcZ2ZAmvnyrmPxTsm44Khwo+Pek9QtrvVFrHGYg2TsV//e3cyYps7v6amWaS47z89YTkrZP2Z8tetu9mcqVC1WDVrlRXRrASE9PR4cOHfDJJ5/g008/xb333ouMjAzlekBeb3hHdfIy3CwoQusPTO9sluTFGDJrB87n3kKfb//Budw8h23tz7qCmHFLsWRfts3ocPYV9RJHKeHjPk217gKpQK0xulWrVkhLS0N6ejry8/Mxb948JCQkmGyTkJCAWbNmQRAEbNmyBUFBQQgJCbG7b3b2nZOA+fPno3Hjxk731VtMXu26O+xPfCc9EOPOinW8VkFsz6T8BGJOJOX8SpSe53D03DVjdTFHsuxMx1Z7Zoha4zADyfbttBHgknOhdPScuABxkQuu/koCTd4YSC79Od50VHxQVm1j/tonarvzCi9fEjRPCapPDgMYjz/+OHx87mzm6+uLxx9/XNVOkXd5pl2Eam3fyDedNdGn1N3R8Qv3Y8eJy5iz2XEU9qFvNgIARv68E9FjU3DTrN28giK0neR4KpiW/P1EVU0mN6PWGO3n54fJkyejR48eaNiwIfr27YtGjRph2rRpmDZtGgAgPj4ekZGRiIqKwpAhQzB16lS7+wLAG2+8gSZNmiA2NhZr1qzBF1984XRfxVq05zTuGpciqgKDu1LqVOfi9XyFWnIPKfvPWIzreiE6kCDhjy/m+k7OibMaKzXE9uP136VXTVGKWuMwA8n2Kbns7anpW0Vt1/97x9splT/G2y9dl+yznldOz5S+manj2LpkSuaa8nO0QWFhIfz976yb9/f3R36+d53YkLp81CxFYkdh0e1R4evVR/FK9xhJ+zZ8Zyk2v3U/QoLK4fqtQjQav0yNLiomNKis1l0glag5RsfHx1tkpx8+fLjx3waDAVOmTBG9LwDMnj1bkb5JdeHaLbw4d5fx32HB5TXphzNEncfwxFm2a7cKUc7fF4C+cjmIvRiSEnAQkxNCDzMwbrcprlV7d8bVTgao1jhcOhhcVFSEwYMHGwPJwO3xOD4+HkuWLEFUVBTKly+PGTNm2N0XuB1I3r17NwwGAyIiIvDdd9853Vc9eeHnnfjnrS6S9hGbe2Hz8YsOt3F2koaexh9PpVZeHKUDDnr5Lp6/KxOPNg9zqg0lf+UOAxjVq1fHwoULjVHb5ORkVKtWTbkeEKlsX+YVfLbiMHq3MP3gLReRByM3rwBNJiy3+tqon3fi5+fb6DZ48d2AligoKsYvW0/i+0FxWneHVMIxWpxdJ3OM/1535Dyevqeudp2RScyF7PELzlU/2J91BY1rB+nnrEkDRcUCrut0NoY9Uk6cD2Yrn9n+druuy9NiTsu3rJrjsCcFkl3l9BXHS4PNKXlB6+wMjM6frsW2sV096u67Fs5ezUPNSm5+A08nb4LdJ3NEBzAKVKq0VZrDAMa0adPw9NNP44UXXoAgCAgPD8esWbNU7xiRUh6efHv5h72a9kfO5uKumoEWz3+4xHapxJ0nc9DwnaXOd1AlLeoEo3pgAB6KDXW8MbktjtHSjZ2/3y0DGGL8vVd8ojFrnpq+BXsn9EChFmWcdGLxPud+hwBQWFQMP19llu2JPX3dcUJ8wsvsK3m4fD0fwRVsV6aSc9p8s6AI6Reuo161CjL2Vo/aZXI5DlNpzs7AKCkDO37hAQV6416U/KT2/HoDdozrpvpxStNHuEF5YgN8F67dQqpKAfLSHAYw6tevjy1btuDatWsQBAGBgZYXeUTurvsX65GR2NPi+Wu33O8uHACrPwt5Jo7R4ii1JhkAtoqYQqyGv/dmY/JT6h7Dx8eAw2dyNctSrgdK5Ej5cVM6ht6nUIJqlf4W1/MLbQYwCouKRSfPNHf5Rj7qQbkAhtrLP5TAcdj9Kfk2e+ibDQq2RnJduOb6lAdScylduVmAoHK2KwTKHf53nbyM5nWCZe4t32l7yZQVHMwdBjBu3bqFP//8ExkZGSgsvFOS8p133lGsE0R6tTczR+suENnFMVqckT/vVKytJ5K22H3d0QmJM4qKBfiqmDfIAGCPCnXn3YGSF8q2kqCKXWdfmpgTWDmVEeydTDozC0Xpd6ciSUxVDoJwHBZvR8Yl/LUrC28+0EC1cVIOJT//R85ec7oNMRXyPNHR887/7hwRBMHp5Za2vLtI2qyZ9xal4rO+ylcJfO/vVMwf2V7xdh1x1YoXhwGMXr16ISgoCC1btkRAQIAr+kSkC2Pn78OJi95XworcC8docQpdOKXg+w3H8arIxMBSLzxz8wpQubztaf/OunyjwGtPnF3h/b9TJe9z7Vahw21KSoRLYe96raBI/udFreR4esZxWLySanB5BUX4vG8zbTtjQvz7tqCoGGUUWiJmS+sPVqnavl7tzbyCm/lFePX33aodY1v6JdXallr69maB/fH9nWR5y4j0OAor2SeHAYzMzEwsXarfdf7kGTpEV8OGNP3UewaAn7ee1LoLRA5xjJYnr6AIZcv4at0NfLDYdp4da1xxd+PT5UfUP4ins/F32nxM3vIjR+/XYhlvDHtxBiWXXJV49Td5ZU7llHM1p3ZMheOwOBev3TL+e2/mFafaunKzwNnuyPbN6qN4pdtdmh3f0xUUF6taQjVPxSSTUhNAq5WfR4+BZCW75DB82K5dO+zbt0+5IxJZ8cOgVlp3Abl5Bci5kY+cG/k4cla7TOpEUnCMlmeUgktKnLF432mtu0D/+XuP+n8LuSdwjqpmyYk3+NjpjDMhA1srnP7cmelEq44pEeiQi+OwOJ0+XWv899Fz1yTnCyjt9d/tB8Sk5rKR8tnMtrPOn/RP7nX0IjW+I1SKM9hqds2hc+oc8D/2V/K5MAfGxo0b8dNPP6FevXoICAiAIAgwGAzYu3evYp0g8vdTdyqeGCXlUsOrlMOpS/xyIvfAMdqxnSctqzNsPKqPGV9Sv9C9OLem6iYsSsUz7evhjT8U+OwofFLqaEaEnBkYuXmFqFnJ1gElN2ekdsUPW+z9CtTuEcdhcXLzTKfL5xcVoxzkzYQ7m3vL7uvPz9yBOc/fI6qtM1fycN5Be6VxHPZOHyw+iIebKlvZT62xyVZAbsVB+8Fwd+EwgJGSkuKKfhDphrsHL77q10zrLpALcYx27LGp/1g8p5fZlVL7cflGPqrYqByhxrR/cg9J649L3qfr5+tsVqzScjaDObFv63SVkvKJwXFYHjnJZ8WSEqTemi5taZecgCGJ99v2U6q2L/f7X42/u1pLPWwFktV+69o7D3HpEpK6devi1KlTWL16NerWrYvy5cuj2IvrwxPp3cOxykaHSd84Rsuj1V1ic1J78emywzZf8+bSp57O0Ymz1AswR5w5ydUiOHjy4g2blV8A9deDcxx2zNqFTZsP9ZGoUur74/h57YJl3mCixNxQruJoWJRTgluVZSmA4lM7xH5EXFUMymEA491338VHH32ESZMmAQAKCgrQv39/BbtARErSy51lcg2O0fLo5XMi9cQ5Zb/txGZv/snp6nonN3Dm6hu+zhzumMJlELNE5Bs4f03byjkchx37fYdlDpR8GWWF1SD1U7nbS0tNeztH4/BpmblRrtxQPiGtOhmOHMvOcc1Y7DCAMX/+fCxcuBAVKlQAAISGhiI3lwkOifRKj5mHST0co+W5kV/kVAI5PfrjX3WTJHqD+bv0+Tt0dOJ89qr49ftiOFN2+P/m7VauIwC6fLbO4TaOvvfU/lbkOOzYBp3kHbJGzmmTranyf3Ic1hVrSfn/2pklqy1HM+Hknn8XqRCh3qpiqVh7Rv1iO0G6S5eQ+Pv7w2AwGP8o169z2hSp4+WuLElFJBXHaPlWy8jGXSziwu6b1UfldId04OVf5ZX6NPfdOsucFDk38nFYZoUrV68OenvBfhcf0Tlah+05Djum9d/IHjkzo27aWC7w0z8ZTvaGlPT33myL5+bvkhfAuGaWhNacnCUkgHr5q6zNXpN7qBmbMpzrDAAlRwGHAYy+ffti2LBhyMnJwfTp09G1a1cMGTJEsQ4QlXisRW2tu+D29FDNhVyLY7R9+Xbqvcu56/HVqjRnumOBE6a8R2r2Vdn7MmmgfQ5nYKj8OeM47JjSfwMlm5M3A8PG8zpKgEsKc/A+GfzTdnnN2ngDrjnsXMnTG7csAy6e8lVitwqJIAh44okncOjQIVSqVAmHDx/Ge++9h27durmqf+RFwquUx9EPHkTUWGbzlqv/PXW17gK5EMdox75ZbTvgIOeux+ZjyiZLZADDeziTOPaNP/aib1y4gr257dSlGwivUl7xdvVGzaS9HIed8926YxjWsb7k/bS+DrN1fE+5QCRL9m6IAED2FXn5H2yNTs/OkBcQMbarsxMMJbtjN4BhMBjwyCOP4N9//+VATC7h5+uDP0e0Q+9vLcseEpEpjtGOyT2hsEnh8wE5ZZsLi4rh58vZVnTbGSfe409O34KNb96vYG+su5Fvf+q1s7QsIcxxWJzLNhIVzvwnQ1YAY4+IRJp5BUUoW8bX4XZyhvWCwmIgwPJ5BjB0RuE/SOrpq7g7tJKibarFWsBAyxlCLq1C0qZNG2zf7lwEiEiKFnUqo2vDmqhZyco3AxGZ4Bhtn71zFzl3J5T8AlZ6Ngfpm1o3w5xZXqJG9ntrJmucF0btG5Ech+3LKyjC+iPnFWsvTWQumR82povaTs77Y9r6Y1afZ/zCsx04fUXxNl+cu0vxNm2Rm/8D0DZQbM5hAGPNmjVo06YN6tevj9jYWDRp0gSxsbGu6Bt5KYPBgO8HxWHr/7pq3RUi3eMYLV/qaek5CZS8ELqaJ+/iccFulerGk1vS2SxhAMCJi6ZJLG94WMUfcxyH7bNX8UnOJZHY91ORyGo6W45Lr9hw4sINq8/r6SKPlKfGn3ejShV6zL8aiooFFBRpO1tNKXaXkABASgrzEZB2xsY3xAdLDmrdDbfRIbqa1l0gF+MYLd+0dccw5sEGmh1f7lf5hIUH0KdlmMlzV2665k46yadWnMFH4QjG8fPXnG6j15RN2P1OdwV6I842jUoGluA4bJ/Sl0xKB+3kVA5ZeuCMsp0gl7BWVlUKd0qovPTAGYzsFGV8rHXfXbqEpG7dujh16hRWr16NunXronz58igutp/EhEgpUTUrat0Ft9K5QQ2tu0AuxjHaPuUz3yvXoNy7EYVW/r5v/KFM+U9SzyoZZXtFtXtQfrs+Ppbvwfs/W+dMdwAAOWZLU9S+Kz0p5ZCq7TvCcdg+e39/Nd8arp6clJtXgENnnLtAJmWdvGQ6U6b7F+udas9VIQAxJdsd+XjpYZPHbhR7cchhAOPdd9/FRx99hEmTJgEACgoK0L9/f9U7RgQAne6qrnUXiHSNY7R9Sn9hKxkQkdtUXoHlhdH53FvOdYYUZ37RlrT+uCrH+d/8fbL3vXKzANeslNpTmtbnzWovs+E4LN+Zq3m4fD1f624oIu2c87OXSFlKL7m0dU4hNi+LWFPXKp83yNkZGI52f+sv+99FSo7DDgMY8+fPx8KFC1GhQgUAQGhoKHJzGV0k1zAYDKhcvozW3SDSLY7R9q1I1e80XyW/zBW4WUMKU7qallpJX13xGdF66rLaOA7b5+iv/++Jy5LaU7MsrjOY/8Lz2aqoNHWt9aSuYpmXaN0h8TOhB3O3nbT7uksDGP7+/jAYDMaprtevX3ewB5Gy9Pk1pT9Ptq6jdRdIAxyjbcsrKMLVPGXvLov9Au41ZZNibYnBE2f92XkyR9H2npy+RdH2Suj1YlBJav+MHIft85bhiYFkzzdxsfW8fM5U9wAsZy8ondsI0P5zqOQ47DCA0bdvXwwbNgw5OTmYPn06unbtiiFDhijWASJHnu8QqXUX3MKkx5po3QXSAMdo2wo1PJvccyrH4TbOfJmbr4/leTPJpdbyivQLdy7i92VJr/hTmt4DdByH7duXlWP3dT1W0hHDvMqJEnkLyDutTzMtM6zGmOf0EhKF+qEEmwGMW7dur6d97bXX0KdPH/Tu3RuHDx/Ge++9hxdffNFlHSQa1TnK8UZEXoZjtGNqTFu/fkvBcpBOnLSvPHjW5LGnT9En1/ht+ynF2lp3+HZy0YKiYlEBPXucnZ6t1gUyx2FxBv+0Q5PjqpU4t8SHZlXyOArrm56rdZnnU1YqFvbNqjTjv5+bud2ptsSWJbZJwXHYZhnVtm3bYufOnRgwYABmz56Nbt26KXdUIiJyCsdoxwQRRQDe+muf6NlLF67dwm4nL8RKc+a7/GaBaSBlv5N3uEld2VduqtJubp7zJ+T/N283ejWrDQBYnnrWwdbSOX3SC2De9pO6vJnBcVgbYgNSSo7X1izacxpvP3S38bGeL5BJncSYSik9I1MQBKw7ct7O1uJ9tSoNL3aJBgBsOe5cuenOn67FpjH3y95fyTiyzQBGfn4+Zs6ciX/++Qd//fWXxeuPPfaYgt0gIjEqly9jUZ6OvBPHaMcEEffD5m47KTqAce6qspU+nDm5/nbtMeNFZ8YFrrfXuwe/2qBKuyN/3qloe2rMVFBicpCz68HVWqHAcdi7nTOr/jRs9r8a9YTseXbGNsx4trWup8icuZqHW4VFCPDzxalL6gS8nZWVo59+2QxgTJs2DT///DNycnKwaNEik9cMBgMHZXKpv0a2w2NTlc3oTuTOOEY7pvflyF+uTHO8kQ2HztypcJCrcKJSUs6l6/moUsFfscBzbl4BAsveqcy1Ie2CIu2WuKRgOct3/07FM+3r4VxuntNtqZHQTgkch5Xxf/N2Y/+7PURvv/Gosu978mxrDiszm6FEcbEAn1JrPo4oVEJ1Zeo59IwNEXXzRSwtc4GZMyg4jtsMYGRnZ+Pbb79F8+bNMXToUMUOSCRHWOVyWndBF168Pxrv/51q8fz7vRpp0BvSEsdox5SYuu4OCotFrJUhTfzfvF2Y/dw9irX3/t+p+LhPU8XaK3HkbC5qBZWVXM7SnpKZFx0/Wet0W/ZOe8Uso1ErAMJxWBnXbkkLwiamHFLs2Ev2ZSvWFunbluPKlKJ+9qftmDm4tfHx9gznlmaUKBmmlK6atCPjElKztV9mquRPZTOJ56RJkwDcji4TkfZWv9oRz91bD4lm093Dq5TDgLYR2nSKNMMx2jG9Vy5QChN46peSMxoA9WbbdP9ivSptFxQpFFyzc+b71PStjndXaQIHx2H35+wyrNM6mlZP9u3JvKJIO+b5KfzMM3A6afgcZZciHTl7DV+vkj/jU49szsCoWrUqOnfujPT0dCQkJFi8vnDhQlU7RmRCn7NHXSqoXBmrz/PaxTtxjHbM0z8a567moUalslhzSNnpsaSso+eUmV4MqBusmrU5Q/E2o8emKNKOvRkU+7IcX5QoOXW5NI7DNHzOv1j4wr3YL+J9SNpRcnaZWkb+vBMZiT0Vny2x+tA5XLimbDDd3A4Rs1CUHIZtBjAWL15szKz86quvKndEIhmUnk7lznS6FJhcjGO0Y/2/d3xnVk1FxQJ8Fb4zU1rGxRuoUaksJq/Rb2Z1b3fg9FUs2HVasfZKT2g4qPBJ7nfrjivanpL0+rXHcZj2/ndX/6FvNmrcE7Kn97fq5dF78899irWlRGUpc+Zl19UgpmSxktdyNgMY/v7+aNOmDf755x9Ur15dsQMSkXMeig3FmkPnsfTAGa27QhriGO1Y2rlrmh7/ixVH8FqPGNXaVzE2Qgpan6bcDJmVB88aE8h50x1fvSbx5DjsmLcs5SPvUlBUjDK+NjMxyNZkwnLF23SFYhfnHLMZwHjppZfw5ZdfYvDgwVan3nFaHLmSTs9dNFEhwA/TBrRExJjFWneFNMQxWjm7T+WgWXhlxdvddOwCXoN6AYw+0zZjwxudVWuflLFXoXXXJS5ez0f1wAD4+XrPF6NezwE4Djv22fIjmh4/r6AIZcv4qnoMbwomOqNrw5pIPX0Fp684X5koeVR7NK4dhPr/W6JAz6T7cuURvN6jgSbH1iMxyxtdsoRkwIABAIDXXntNuaMRkeL+F99Q6y6QBjhGK+ePf0+pEsBwxY3HDh+vUf8gZOLQ+w/gfO4tzX73JdV1kncrtzRF7w6dyXXJhahUHIcdm7P1hKjtbuQXory/zcsS2bp+vg4b37xf8XZL4/IRcb7s1wxlfA2IGbfUqXba1a+Kpv99Zy9/+T50/2K9Ar2T5tQl70zeeurSDYRXKW/xvJgJGEouqbU5UrRs2RIA0LFjR5w/f3v6I6fHkVZ0evPFpcy/2LvfXRMVAvwQ3yREox6RljhGK0ev09NJOfNHtsOjU51fAz1vaBuULeOL8Crl0aR2kKgEkko7eu4aagWVxdrD3pW8dV/WFbSKqKJ1N0xwHHZMbDnrvt9txt8vdlD8+JmXvfNCU48qBtw+j61Swd+pCk3TB8YZ/31XzUCn+yVH0X93KNonrtbk+FoZPW8X5o9sb/G8mBkYSgYwbC7eEQQBEyZMQLVq1dCgQQPcddddqF69Ot577z3FDk4klq0KHN6iQ3Q1lPM3vfOUNDAOXzzRTJsOkeY4RiuHAQzP17xOMJJHWZ50SdUmsqrx30kDWzrdnhz9f9jq8vXGeiD2QtiVOA47JnYm2v4sZZPSkr7MeLaV8d+bnJgRM7BtXVQIML2h16dlmOz25Fq8NxsFRcXI8rIyura+e8R8ztPOKpeXzGYA48svv8SmTZuwfft2XLx4EZcvX8bWrVuxadMmfPHFF4p1gEgMP18f9PTimQaVynp3AIcscYxWjhbxCzElx0gZL94fBQDGKcdyfdw71uRxSFA5p9pzRvzXGzQ7tlb0GGbkOOyYmqV/yX10jqlh/Lf5DTkp3k1oZPHcxEcay27PGQdOe1/QzdanWcznPLRyWcX6YTOAMWvWLMydOxf16tUzPhcZGYk5c+Zg1qxZinWASDQ9nr24iA/LDZAZjtHK8RUZwXh30QFJ7dr7Ou8zbbOktki+x1uGG//duHYl2e30bRVu8Vzpu4qudOhMribH1ZK16cdaV7jgOOyYHmfOlPDGmUzuLLCsn9VkuVrlxnlkyiZNjqslWzNWxQQwmtcJVq4ftl4oKChAtWrVLJ6vXr06CgqUr1FLRLaNf/hurbtAOsMx2r75uzJFbyt2BsbWdM6acEd1qt5JONalQU1ZbUTXqGj1+dJ3FUldVqt87NE2kSnHYfsEQcCtwmKtu2HTzyITjJJzvurXzOK5kZ3qS27njQdsV/34pE+szddIObbupy7df1b2vrL6YesFf39/mzvZe41ILaM6RWndBc1UqxigdRdIZzhG2zdu/n7R26qVA0Pru8N0J2lcibb1q9rY0r6U/1M+uSBJY+3k9/j5667vSCkch+1bvC9b8TZPXryhXFuXlGuLbAsLtlxuJ2fyS/976th87fE4yxlypDxbM+EuXLvlcF8lz7VsViHZs2cPKlWynGopCALy8pyv30sk1d2h8qf+EnkajtH2Wbtba8t364/jLRXKEe/NvAJBECT1hZS19CXTwEPpJJxS+PnavN+DYR0j8d2647LaJfEenfoPMhJ7mjyndX4FjsP2XbkpbRbK9VuFFgkazSmZ/4Vjs2tEVK1g8dzT99TBtHXHJLXDv5f2tmdctvicil0mpuSfz+YoUVRUpNxRiIhIURyj7ZP6PVlcLKiSa+bA6atoXDtI8XZJnLBgy3r1Sivrp836a9I+gMFx2D6pf56k9cfxcre77G5z7VahjH5YDyRzlpz67g6phKpWZhGHV5E2Nvdo5Hj5n7PlWUmcY+evITassvGx2Nk0Ss7AsH1LgYiIyE3p5bRU6wssstSlgbJ5K+5XuD0SjzkYPUthsTr5MmZttp7ropBvINUpdc16313VHW7zZGsuI3EFg9ktIrHnOUrOwGAAg4iIPI7UwAFPYz3PM+0irD7/bf+WktpZ8fJ9dl93tjwryccAob5J/evIvUO7+51uKG+nNKetXBysQqK+Cv62lwQ1qBUouh0x7w2xFcXIOea/ZrFLSDgDg4iIyAZBEHAj3zVTuzMSe6JhCPPz6FF3G1OO/f2knfpE1xR/kk2uxdwjOicxwGQtQaAY5fx9sfPtbpL3Y/xCfV892czma78Nbyu6nbtEjMNDO0qvbELSmcchpq49Kmo/BjCIvMiWt7po3QUit7L28HnJ+6RfuCZ5n5I7/Mmj2kvaT+zdCnKOWtVlrOkc43h6MzlPalJI0tbbyQckbb/1uLxS1f6+PihbxtfmrCtbU0F4w159IUGWFUhKVCpbRnQ7LesGO9zGvOoUqWObWUn5KWvEJWN1SRlVItKHWkFlte4CkVs5e1V69v+un6+XvM+r3W8nm/P387F54mztBuTMfzIkH4uks3fH7vUeMYoe67sBcYq2R9Y9mbTF+G9O//c8m49flLzPk63DjQk6JyQ0srqNraVGtnJjkL6U8WWkSU/eXZQqaz8lq8gwgEFERB5FjeuaNYfOWTxX+su4T8sw0W0xS7r6ompURJUK/jZfbxNZRVQ7YvNbSF2WQvKkZl81/ruI+S+8jvWqIaYXRaPvj7LcT6X+kH3W/hbmBrSp63AbKUuLxByT3J8m37iXLl1Ct27dEB0djW7duuHy5ctWt1u6dCliYmIQFRWFxMREUftPmjQJUVFRiImJwbJlywAAN27cQM+ePdGgQQM0atQIY8aMUfcHJCIizQgqnK4++9N2i+dKn1NJKZWqQrVWMuPoVyw2yNW7RW2n+0LqMJ/GTJ7vr51ZFs+Z39S9J7KqxTasNqINRyVxAXFVnD58tInoY77SXdnZdWRfxoXrmhxXkwBGYmIiunTpgrS0NHTp0sUkOFGiqKgIo0aNQkpKClJTUzF37lykpqba3T81NRXz5s3DgQMHsHTpUowcOdJYo/u1117DoUOHsGvXLmzatAkpKSmu+4FJMd882VzrLhCRzrnqxmxZP9Os99bW6P681XKKMu8cq6+8g7XQYrPfS8mj8YqIk3VSztPfb9W6C+RipWfglHikmWmQsa2VAMatAsukztZnc5CSxCwZqFjWcd6Kx1qIn+FIrnHh2i0AwJBZOzQ5viYBjOTkZAwaNAgAMGjQICxYsMBim23btiEqKgqRkZHw9/dHv379kJycbHf/5ORk9OvXDwEBAahXrx6ioqKwbds2lC9fHp07dwYA+Pv7o0WLFsjMzFT/ByXFPdw0VOsuEJGHkrKm/uGmofAxm0ox5akWFtv9tsPyu6awiCfOavv2acu/RWmBZcsgukZFh+2EVykv+pjto6qJ3pbkO2jlIpY8xyfLDtl8zVoC5Nb1TJeD+fgYEFHV9HN76EyuxfjOSRn60LKO4+ScpD99v9sMACgoKtbk+JoEMM6ePYuQkBAAQEhICM6ds1xbnJWVhfDwcOPjsLAwZGVl2d3f3j4lcnJysGjRInTpYruyQ1JSEuLi4hAXF4fz56VnsyciIu3IPS/941/xgW1r95XEJty1lVCOlBNa2Xbm+xJi/g4d7xJfXYR3dF1j/ZHzmp00k/rsVTQoLBb3d3+pq+VsqMNnc00ecxzWBx8fA8Kr2B6v5ZQp//KJZrL60jcuDL0520OU4+ev49qtQmRcvKHJ8VULYHTt2hWNGze2+K9kFoUj1k4EHE1FcrRPYWEhnnzySYwePRqRkZE22xk6dCh27NiBHTt2oHp1lkYjInIrMk9Mf//3lOht/WxkRW9c2/HJVnPecdIFR8njpCZMvztU+ok2STcp5RD+99c+rbtBGhBbgvqR5pa5a8y/FhjAUNew+2xfZ5lrHGo7h1TSgJaSj12zkvTqfV/1a4aP+zTFZ32b4p564pI8e7vG45dpdmzVAhgrV67E/v37Lf7r1asXatasiezsbABAdnY2atSwTOASFhaGU6funExmZmYiNPT28gFb+9vbB7gdmIiOjsZLL72k+M9LpIZJj4lPXEREt8k9LbWV76DQyt3eMj7Wvz4XjGzv8DjfrhVXM53UNbBthN3Xg8vbrmJiTXl/P1EBLHP1qlVARmJPfNWvmeR9vdXvEmZLkfuxFqgQBAFzt4kPMlvsb/bNcOEaq0HZc1dNx0vs7JFSOeQDO0k6y/n72nzNFnsVqGzpVSqXyszBrSXvT66lyRKShIQEzJw5EwAwc+ZM9OrVy2KbVq1aIS0tDenp6cjPz8e8efOQkJBgd/+EhATMmzcPt27dQnp6OtLS0tC69e034bhx43DlyhV8+eWXLvgJiYhIK2Lv0pnbaqOqQdKG4xbPvdQt2uq2Yk7a9mVdkdYxkmTVqx1FbWeew8TcnyPaST62nJu6K1+53d9ezWqjgoyTdSJP89XKIxbP5RVYBpJ/G9bWZhtLX+pg8tj8s9k+cbXNfV/vEYMjEx900EvPVbtyOSx/uSMOvf+A7DZaRYifxWAr4BDg54NqFQMkHztGZJLmEn+NNB3ry5bxRYdo5jTSM00CGGPGjMGKFSsQHR2NFStWGMuanj59GvHx8QAAPz8/TJ48GT169EDDhg3Rt29fNGrUyO7+jRo1Qt++fXH33XfjgQcewJQpU+Dr64vMzEx88MEHSE1NRYsWLdCsWTN8//33WvzoRESkMmeSs1krCZadk2fxXEiQ9TW7YrKu2/Ny17vw1oMNnGrD20VUrSB627vtrK+uV018OyWeaRchaft1r3cyCXqteEVc8IXIk+3OtAzy3iq0rCRinsCzNPPPr9hSqi3qVMaozlHw9/PB/nd7iNrH03zWtymA2xfyXRvWlNVGZxHlUUt7r1cji+ceaFxL1rEBiErSDAARVcujhZVlne8mWPaH9MNx7RoVVK1aFatWrbJ4PjQ0FEuWLDE+jo+PNwY0xOwPAGPHjsXYsWNNngsLC2NyLSIiL+HMeH/TSrk9qWuln7u3Hn7YmC752A1qBeL/ut6e2bE1/RJWH7JMcO0NZjzbCs/O2C57fwkzlzF/VDvEjFsq+1jmHo8Lx+t/7BW9fV2zYEuIyESwRJ5s6/GLFs+tSD0rqQ3zZX438y3Hdmt+GdLG+O+KAX54Ii4cv+6Qv3TFHbUpVYq2f5s6WHlQ2u9ejidb18E7yQdMnhsb31B2ez1jQ/DlyjSH2/09uoPV5+tIqEBFrqfJDAwiIiK1OJOcraS2eQlBEPDz1pOS2jA/8fls+WGT9mxZMOpO/oypDsqAeqr5I9uhc0wNfNInVnYbUmbB+NrY9ufn75F9fLHMpy0Dt/vOcuHk7W4VFuN8rulYLCUwCNxeIvZk6zrGx09O3+Jwn2faRaBsGdNlXBO87E68edCgU4y0mRRylfH1wYelcmF81LsJashIxlli9P3Wl3mWdndIJVQMsH4v38/XB/eyNLZuMYBBbocnd0RkjzNLSAb8sM3ksbV11w7bMKtu8c3qo8Z/24pfjL4/yuTEuWwZX/RsEiL52O6upEJLn5byStk9fU8dxxuV4ufrg+qBlmuso51IYDf6/ihR21mbtgwA73nZBRN5JmdnPueVmg0nN69RWLD1pX65eQVWnx/Y1rIyUTl/X6+6Gz/ESvWQNpHSqnKslLkU7ql76mDm4NaY9FgTPNFK2lhuzlGOIwCY4uBGQd9W4U71gdTDAAa5nXb1qzreiIi8lpIrBq2tu24WXtnuPvZOnB76ZqPV51/pHmPx3JdeVpUisVTVJYPBgNFdHN9BM1epXBnJ+7z5gGXOkRqB8u/8vdztLofbbH7rfpuvBcvIoE+kN86Ow1PW3An8Tlh4wM6Wtg2wEpAAgD+sVLEJDPBDZHXrgUtrs6W8ybyhtpOlWhMlMv+ENR3vqm4yc8YZi1641+Zr991V3WGeowTeMNUtBjCIdExqJmUicm4JCQBsK1WNpOXElRavzxvaxuI5c71bWJ9BkJp91eI5WydJZXy96yu6eyPThG2viAgEmAvwk/47692itsl+cqqPlCZmCYutJLAlBtm48CLvs3TpUsTExCAqKgqJiYkWrwuCgNGjRyMqKgqxsbHYuXOnw30vXbqEbt26ITo6Gt26dcPly5cV77ezceR5208hv/D2DLjZW05YvP79wDiHbVQqaz2gab48BbAfpJBTCcMdrXu9k9ZdUFSjUNtJmqf1985lmp7Cu86OiNyMrSnGRGSbs1OX+/+wFQBw/Vah1anL5mukrfn0cdMcDvb69Ez7CJuvLbGRYMzT+Pv52CylJ0U/GdOODQYDto/rikmPNcHKV+5Dy7rOj7v2ljqKya/xbq/GTveB3F9RURFGjRqFlJQUpKamYu7cuUhNTTXZJiUlBWlpaUhLS0NSUhJGjBjhcN/ExER06dIFaWlp6NKli9XAiLOcDSQDwNPfb8HivdlWX/P1FZfrpvTneeGe0xAEAVPXHrPYLrqm/RtGQ60srfA05f1t13bwk5IdWSd8fAx47t56Fs9PeaqF3Z+1NG/5DnY3DGAQ6ZS/l919Jf1x1zt/zuTAAID8wmKknr6KfkmOk77ZYn4Xfs7Wk9ifZVkaELAfqKzlJVUpbJUfFZtPooTc31elsmXwZOs6iKqhzKy3J+Jsr51uz8RwJNK2bdsQFRWFyMhI+Pv7o1+/fkhOTjbZJjk5GQMHDoTBYECbNm2Qk5OD7Oxsu/smJydj0KBBAIBBgwZhwYIFivddiQDG9ozLGPXLTquvib2gnvPcnYDh6Lm7cPhsrsU2s59r7bAdJXISfflEM6fbUFNwedtL8N5+6G5Rbfw5QtpyE7W93sN0eWaXBjXQM1b83/JuO7M4SDu8QiIiIgvefucv/usN2Gcj4CDWYy1qG//9/qJUfLLssMU2IzrVt9tGlQr+DnNueIK3HrTMQwHAaoJNd3BvdDWrM0q2vNVFdBvM90RZWVkID78TDAsLC0NWVpaobezte/bsWYSE3L6ICwkJwblz1ks2JyUlIS4uDnFxcTh//rykviuZi8gaWxWEzJXzN50x98CXGyy2ETPrKjYsSFzHbEh9rwceaV7bbv4bLT3QqBb87Nw4E7s8z0dCFShXKFvGF4cnPoC5Q9pg1asd8cMzrbTuEimAAQwiIrLg3nf+FG9SltLLGfKLirHuiOUFwOtWkneaa1zbuTtAfwxvi+RSJVr1yFbeiNb13Pci/u8XTRPITR8YJ2mGSJeGNZXuErkZa0vPzD8rtrYRs68jQ4cOxY4dO7Bjxw5Ur15d0r5KBJLtEVNlosTg9pbLCErcVbOiqOUEBoMBTWrLC2Js/V8X4zFCgsopOh7/8vw9mC4iH4gjoZXt5+XpLbIyVICf4yWWrhbg54u29auivo0krY48b2UZilgfPtoEEx/hkkClMYBBbqd5ncpad8Elygfo70uAvIc73/lT/dafSPWr289w3q5+VVEn4WKn7lqz8IX2iIuogqbhlbFAp0GMNx6wHcSJqRUoejnd78P1NXU5tHI57HmnO758ohm2je2CbndLC0jc5UQpV7ojSEZlGr0ICwvDqVOnjI8zMzMRGhoqaht7+9asWRPZ2bdzS2RnZ6NGjRqK913tYbi2gwvu0p6wUw7zPQn5Zv5PRmWktpFVUbOSaeCyqUKz6oZ0qId2UdXQ7e6aFkslpHrzQfv7i00q3TDE85LPV6koLz/Te70a4al76qB/m7pWS/R6g1mDW6NPyzB0iFZ26SQDGOR2GtSqhDIikze5M2cz4RM5w73v/EnaXBIplTGqVgxA63pVbL4++SlxWdDl3tFqUCsQsWGVjY/1uhTl4Vj7peqKRF4JtYqw/bvWSlD5MnikeW1ZZVk7REt735v7bVhbu+8/T3fg3R74ql8zi5kw7qRVq1ZIS0tDeno68vPzMW/ePCQkJJhsk5CQgFmzZkEQBGzZsgVBQUEICQmxu29CQgJmzpwJAJg5cyZ69eqleN/VnoERXqW86G0rlbM9w6JNpPhZXl0lBiEBYFr/llafd7R8UIyxPe8Et0c62Z6Y75kHzCpFmYsNC5L8Xe8O+tioKmZPg1qBGNg2wvh4/MONFOyR+7jvrur49PGmmP2c4+TVUjCAQW7JAM8bIM3JnepGpAR3vvOn5omz1OUc4cG2T7LtJUwz990A6yfB9kx92jJA8tOzyqz//eX5e5CR2BMrX7nP6bbK+9s/cR4b39DpY3ibPeO7o3W9KvhVRMlfT1UhwA+9mtWWdKGrN35+fpg8eTJ69OiBhg0bom/fvmjUqBGmTZuGadOmAQDi4+MRGRmJqKgoDBkyBFOnTrW7LwCMGTMGK1asQHR0NFasWIExY8Yo3nc1A8kNJJaYt1W2+PO+TSUfu2wZ8ZdOIzrVR5CNcd6ZZQkALGbUGQwGu7PZ7ImuIe5886snm9l9vY4bf9bsqVFJegDa/O/j62PwulkYbSLVC6AzgEFERBbc+86f4k0aSb279M7D1pd/TOvfUlJbPRzc+TIXUbU8Iq0EQTvFOB8wuqtmRbT7r5JGVI1APNna9vRsRwyG2zNV7Bns5Im+Oxtv4/1jz2ePNzUumzAYDFj9akelu6V7ek2UKEd8fDyOHDmCY8eOYezYsQCA4cOHY/jw4QBu/42nTJmCY8eOYd++fYiLi7O7LwBUrVoVq1atQlpaGlatWoUqVZS/0HC2nLU9fjJm4VpbwvVIs9pWtrRv29iuore1t+TE0bjniLUZdSM7SavaVGLhC+JmKTmapfFR71i7r7uzphKSuA7vWN9qufUJXjYLw9lZhPYwgEFERBbc+c6fmifOZXykfW3aWn/fo5G6CRrnPG97uuZLXaWv4y4taYBpwrhJj8k/ae3SQJkZOF/1a6ZIO3rzrJ3kg7aYJ9uzFsjydLbuuJPrqBlI9pU4DgOwmLcbElRWUiLQEpXKips517xOZasXsaW9IzO/0baxtqsZRTrIvWSNeaUWe2rZmY1QIcBxMlR3NdvOd6q5l7tZ/4718TFICoS4mlIzNEv0lrH0RiwGMMhjSEnoRESOue2dP8VbvMNfZCk5ez7q3UTWOmEpgYcwO0tXXuoqPo+HuYiq5RFRzfIEWe5U0dI5Oux5sLH9GSiOMuh7i23/s35hs/xl55f6EEmh5lI+OWnQzGfDdXYieJrQ1H7eHgAYJWI2hNzZZVXK204q+Wy7CFltivWjjTKkcoMx7kJs4Oqdh+62O1Plq37Nne5LizqVcfC9B5xup7RalcqiU0wN/DtO/Awjh21KqLolFQMY5DE2jXG/KaPT+rdEYFnPjVgTaaFYxVt/cgIYf5hVx+glY9oyANStKm598drXOslqX4yfh1jPqTCkQ6Ss9l7oLG7K85sPNLD7etUK8rLEu4OPejcRtV1IUFmba7X1HuA/9L5yJ+POzjAiZaiZw1POOGwe1B1UKsGiVA1DHOdCkpPwU4xHm9eGn52KID0dJEU2N66ntBxD9awEsAHvWOr3vohyqI5+D0pc1P85oh3K+fti34TuTrdVYsV/+ayqVgxANSeXN7kCAxjkUSpImAanBw80roXHW8pfP05EltScuiy2pGdpcWbVMQJkzuIQu147LNjxxeqfI+SVHLV1ISw3t4bYKdyOLlg8eZlEs/BgUdtNHxhn87UKAX7oFOP8euSn76mDyU85fwextBc6R6FsGV+se72TIu2JLfdI6lJ1KZ/Mv3HofxePFQP8ECMxEWhpzzm4SJUyvn5rJdmyPWMdBByqSAzmVrYzm8Oacv6+qi4N0LNOd9kfQ8UkTS5bxhct64ob063Z9XY34wzOwLJlFEuUGVhqhokSybnVDppzlCe31LxOZZPHJeufzbP+uoNn20dYPPfDINsnokRkn5pTl6vKrAc/8b87NwtfaC+7zJzBYHCY5f2ZdhF2786VsJWbw57Fo20nevOVsZY80sadPGvsLRFprcPyqUqqL2JNe92q5dG4tv211VLKRdrywaNN8FBsKJ5sXcfptkq8/F9p4rpVpa/dt8ZR3gFyDTUDyXKrXaS8dB9+fCYOa5ycpebv54MBbWxXlGhZV/yYJLVKjpi741LG1l7NpM3YAID3HzFNRik3IO5uHP2t7hE5xsoNOrSNrIpgswDVgDYRstoqbaLZzBKpQS1rfh+u7nuCAQxyS9+XusCvXbmccUp2lMhSUHpiPiB2jqmOLg3VTfBHRNL5+/mgpoxyagDQv01dZCT2FJ3zwZa/Rraz+/qYB+0vtSgRVUP63cfIavbH1xk21kbbsnh0B0nb28qD0SfOs+8G+vn6OEx2+sdw++8LABgqc5lPiT3j70xXHuNgSY9Y0TUqmgS/lFhH//Q9ygVXSD41A8lvy3yfBJUrg/sb1ET1QOenyNtaTvDLEPHJHgE4DDyWJnaW0h8jHI8HwO3vNDmzWcr7+xl/znceultSwMbdrbJR1Wm7hOo0r3STV+420cpywvgm0iqUWdPRyswSMXle7FE7LxUDGOSWAsuWwYT/EjKVvplpMBjQup77DaSlp1pJXb9IRKbUmrosZt2z2uzdfXumXYSku8+xErKhd4qp7jBTvdSkeFIy3wO37/5b0zfO85fh2frZAWBg27qiLsjkVFwoMbpLtMmsnaDyZeDnRHslFr1oOqtH6t1oazgDQx/UDGDo5W887D7ToGDTsCC0q19NcjtilxSInaUkdhmJ1PLcpbWrXw0ZiT29IvdFafWrV8TnfZuaPLf0pQ6SgmJyZixWDwyw+vc3GAwIdKL6S8UAP6vjrjPLXFyBAQxyW540S+HvF+/Fspfuw9EPHkSflp59N5FIbWqdNitxwaaEOc9Zv8M3IUFajfkvnmgmetv+99ieLu0qUtd2e5JaQWXRxMad2v/Fi0/C99swedN6X+lmWblmnoj13o6YX4h2bahMWV3SnppJPPVizIMN8GTr2wHUxMea4K+R8pYxf/Ok47wyStxpN/fZ400db0QWHmsRhnWvd8Lkp5rj+IfxaFBL+s2NJRJnIM61M7Nn4Yu2l3c6El3T+szKSuX0XWCAAQxyW5XL374b5K4X/KWT5ARX8EdMrUBRa9eJyD57J86RIvIJ2CLnroka2kdZrrNNGtBScjv1JSS+FJtR/+PesaK2G/+wvCngq82m76pZcUVv5ltZPrTylY6S7kbLmaE4uL31O6zmyWmlet7KnVuDwSA7yS3pizcEMAwGAyY9FouMxJ7o17qO7O8IMdPth3esL6lNMQkllSgL7q3qVq2Ah2JDZc9suztUWtDD3rJPW5VhxPhxkPWln72ayquWBgDdVarAUxrfueS2AsuWwZGJD+L/urhnyTQ5a9CJyDF7U5eXvyQ/u7avzOSbSjMYDNgzvrvxYvSHQXHoLnMqsKPcCsDtvDxi2bqbY05usNa82kiEEydu7sbP1wc7xnVFg1qBiA0LwprXOrkk71O/1uos0bmrpvXvQDkJZkt0iJY+fZ/UYW8cPvT+AxjRSdoFuaeb8az9HEJS8yc5mrH2pYQZeKStmYNbO9ymbBl536nmSUFLOLPkUMqsQLkYwCC35u/nIzujPxF5Jns3/vx8ffB+L2lLLUroZQYGcPsi77dhbZGR2NOp5XQ/iEi8+b2NOzTWiF2j/bgTM+fSJ8Xj9+FtkT4pXnYb7qpaxQAsfek+LHzhXtl33d4SmegVuH1SbCvQADg3A+Y+GyUJxSQktSVpACt46YW9AIa/rw/eVCgRrKe4N8p28E1O1Z9oO59bAIqUVSbnvGplaZ4194iYOaenKoyuOFdiAINIA7zzQKQeW+fNJWv25Sbj1FMAw5Wk/NxVKvijqYPkoOXK+DqVhM9gMKBVRBUGr2UKkZAdfvKTLVTpg7+vD2oFWa/oU6eq/ESeUhPDknpslVFtHVHFqbu7nqqMr4/NoJ7coPtTdiry6CURqjd7pn2Ew23aRFYR9beq4C89Z4WjoMfQ++RVrnLF55sBDCINlOMXB5GKrJ85l6w5lbt231MDGNZyEZT4pI+4nBalOVrPXSGA45+WHo4NEb2to9wndWUGG/x8PfOzRHfYqgZVv9Syp9e6i7sD7S2slRH+Y3hb2UvuJjxsPfDRup64i2JSV2DZMggsaz/w8HFvcYlW5VRwCg+2/10tdymIKxKeM4BBREQexdYMDGe/VD00fmH3LpCtO4L2fOwg6DFvqLxKGKQMg8GA+iKS2U58pLGotqwllXVEyjIWck+2FpBUKnXBxiSSpqJqVMTkp0wrkjhTztLfz8eiPUDckgRyDXvVSGpXLidpRprU2aVqzVjjEhIiD+WpF0JEemArgBHgd+fLum2k9IsuT12yEBZcHhFWTpKahVdGzUrWp/nbE1jWfhJGVySeJPt+FVFONaFZqKi2OkRLD3INaBth9/VfnrddMpDcg60cGC91vTPrwl5+FW/1UGwoZjzbypjjyNnvnc4xlomaR7tp8ntPZG/mhNRSq+N6ip8x0aBWIMrLWHYiRlUXlDxnAIM8TuJjTbTugkOD7UzZJiLnWDtx7tcq3OSuwPeDpCf7q+Tgwtyd/THCMnHiDBEJPm35xU7NetJetYoBdl+PqlFR9Pt9mMx10vbUdjC12ZoGtXgxrCfFxdafL33Xt5OVi2u6HXSQU/LYmgoBfqhQ6ne+8IX2KCNzSQqp488R1gPKQeWlnXO0t5MI1pzYGwkD29aV1IcuDWq45GYP38HkcczL7OmRWlFPIrI+ddl8SmOFAOmfwQkJluuTPUW1igF4vUeM8fGswa1tllcTo7WNPCPzR8qvMEHKmvq07QSdSQNaim5H6smqmLwZhbYyQNoxxc7PQ65nrwqJM+4SWaqZ7tg9vjvGP3w35o9sJ7kcK6mvZd0qFgGF1a92VPWYDzYWlwupj8SKYa6aqcoABhEReRRr581KJJVytDTC3Y3qHIW9E7rj4HsPyMp9UZqfr4/V37k7BJi9ha27dYEBfpL/Tm9bST5oyy9D2jjcJqic9M+aj4cu8XJXKsUvsPCFe9Vp2IOV8fXBs+3roXkd+fk0SF1/v3gvBrWtiwr+vlj20n2yvyuftlN5prSeIpM5Sw0mu2qJPAMYRETkUQQrczBYtk+cSmXLKJbYa4xZosbK5cvIujAldQSVK2M1meaa1ztJbus5CcsifUUEGqpVDJBc4YQfcX1RawYGq2eQJypbxhfv9mqMA+89gBgnlsN98Kiyy+iLJQcwOAODiIhIOivftwlNLRMSLnzBfg10cs7g9qYXtb+LSBxJrjX0vkg80KiW8fHwjvUd5sdwVrWK4pYm1QyUlkCWMzD0xdplTx0rCQtH3x+lfmeISJbSyc/F8HFRZIEL8Ylc7DeexBOpytqJs7Wps7zgUZePjwG73u6Gxfuy0a5+VS4f0SGDwYBpA1piy/GLKFvGF83CK6t6vISmofATmUCwSOIdfH6c9cXaDAxrQeNXusfg69VHXdElIgLwg4Qk5k3CgiS17apZlpyBQeRiSmWWJiLrxE5dVmuNNt0RXMEf/dvUZfBC59pEVnU6eDGqc32H20jJRSN97TUjGHoiWBlgK5dXv7wikbd7tn2E3de7NKwpqb1YCUGMcT1dk+ycAQzySKWz6RORdxEbmFBrjTaRNxITcJBS2ebZdhGSjl+J+VV0RUYhGSJSQK9mtRVtT8q5kpwKb3IwgEEeaVRnrqkk8lZiv2qlTlEnItsGto1wuI2UmwuPNBd/Eh5XNxgVXXTiTOIUFnF8JdKC0ksBi4sVbU4RDGAQEZFHsTZ12RolSqsS0W21K5dzuI1aFSQ4+0J/Cop0eNVD5OXekVDyuoQeZ6sygEFERB5F7Fdtk9rSklMRkX2dYqprclyGIvWHAQwi7bSPqmr1+ZqVpFV3AoDmdSo72RvlMYBBRESeRWQEw2AwqF51gcibTB9oO7t914Y1VDsu83fqj5QAxoxnW6nYEyLvM2vwPVafj6klPaH2hIRGznZHcQxgEBGRR8mXcOIsdrZGeBXH0+OJvF0ZOyVS7QU3nMcIht4USMiBUV6lpUVE3srXyhLZAD8fRNUIlNxWgJ+4z2fNSgGS25aLAQwiIvIo+YWmAYw5z1m/EwGIz5exeHQHp/pE5O0MMqZJtKtvfRq0ZduSmyaVFZmVIWlQy/aFEyuWECnvgUa1TB4/2bqOqsdb9tJ9qrZfGgMYRETkUcwTTt0bXc3mtmJzU1UqyySBRGIoWcb8lyFtRG03vGOkYsckZQhm89vefKCB6G1tSWga6lSfiLzJaz3uMnn8towEnlJULi++TLazWHOKyIX+GtlO6y4QUSliT5yJSJx61SpYPPfFE01VPWbLulVUbZ+kswgO25slI3IY7qJiHhUiTxNVIxArXr4PP2xMx4tdoq0uK3FXnIFBpIKvn2xu8dzdIZXQok6wBr0h8i5SKn7dJWM9KBHZ1rVhTYvnYsMqu74jpCnzcdjepZPYCys5y5CIvFl0zUAk9o4VVebanqlPt1CoR8pgAIM8VusI7e7IJDQNRdoHD2p2fCJvJmVWxQePNlGxJ0Tex9/PBwPb1jU+7hRTHfWrS898T96jlYbna0TkmLXAtJYYwCCPZW/duyuU8fVB0oCWaBhSCQCTjBG5ipQZGOX8mf2eSGnvPHQ33n7obgxuX093d+7INcyHYR87J0E+PgbcVdNxkIunUUQEMAcGkaq6N6qFrg1rYuLig3imXYTW3SEiIlKdn68Pnru3niJtVa3gj4vX8xVpi1zHvMKTo5s4UgLPRORaersJyxkYRCrz8THgnYfvRp2q5bXuCpFX4Ikwked4mJUn3JIaw7DeLqKIvIXezqsYwCCP1Sy8stZdICINsLIIEZG+GBwsAOGoTaRf5uXptcYABnms++6qrnUXiEgDOvueJSIn6O3EmUQy+7NVqeBvf3MRf2dHQRAi8g4MYBApbOfb3bTuApFXK30a/Gjz2g63DwxgOigivWL8wj2Zz4S7O7SS3e3F5AnjEhIibZQto6+E5wxgECnM0V0GIlJZqfPmx1o4DmBseut+FTtDRM5wNAOjduVyLuoJSVH6z9agVqDD7Qe0jXC4DeMXRNp5snW4zdc+dHFJegYwiIjIo5S+8ydmynE5nd1ZIKI7nrqnjt3XU17q4KKekFwGhaZOcAYGkXbsxZIrBLj2PIoBDCIi8ihFxZxzTuQpGoUG2X29UtkyLuoJSVF6FGbcgYiUxAAGkYKGd6yvdReIvF7p+IUSd+zeeCDG+UaIiLyIGrlLGte2H8wiIvXY+0wrNctKLAYwiIjIo5ReMy/mK9XRNjUDyzrVHyIib2OylE+Ba5uqFfwRFlze+YaISBZ7JepdPcuKAQwiIvIoJktIRHyrOrpRyHXXRETSCArPhCMibempIhQDGERE5FFM4xeOz5z19KVMRORpxIzDRKRv9k6VXB2kZACDSEG8y0CkPUGQNnWZn1siImWZJPFUYIzlOE2krXvqVdG6C0YMYBARkccSc85bxtcHTewkh+OJMxGRRDKmtvn72bss4UBMpKU+LcNsvhZauZwLe8IABnm4P0e007oLRORipmuvxZ30Ng1ndnsiIqXIKaO6Y1xXNbpCRAqwdz7Vok6wC3vCAAZ5uJZ1XfuBGtQ2wqXHIyJLxRKXkAAOyoPxzh+Rppa9dJ/V51tFuPY7nmQSORD7+9q+LOFMOCJ9qlLB3+XHZACDPF5ggJ/LjlUriOUWibRWOoBRW+S0Rj0lpyIiUzG1Aq0+/0SrOi7uCYklSCsGZbEPEbkHLU6RGMAgj/fT4NZad4GIXKjkHLh6YIDL12USEZFpMuX2UVXF7eOwqDUREQMYRETkaf47B65UVvzsK975IyJSTukh9ZVuMU63x4lwRFSCAQwiIvIoJSfOYhN4mu5lqVFoJaf6Q0TkzXx9xI3F9gLJUTUqKtQbIpKrS4MaFs9pscyWAQzySh882ljrLhCRSgQZ0yls7VKujC+ialhff09E2uJdef1Selbbt/1bKtsgEUn2/aA4i+faR1VzeT8YwCCv9GSrOvj08aZad4OIVFD834mzEhc3fr68RCLSKybY1S858Qt7+wSVKyO3K0SkEGszWz/uE+vyfmgSwLh06RK6deuG6OhodOvWDZcvX7a63dKlSxETE4OoqCgkJiaK2n/SpEmIiopCTEwMli1bZtFmQkICGjfm3XdvEhsWZPGcj48BfVqGiW7jsea1lewSEalITiK40V2iVegJESllZKf6Fs91irGczkz6IGcmXFk/3lclcjcBfr4uP6YmI0ViYiK6dOmCtLQ0dOnSxSQ4UaKoqAijRo1CSkoKUlNTMXfuXKSmptrdPzU1FfPmzcOBAwewdOlSjBw5EkVFRcY2//rrL1SsyDV03qaMrw8a13ZyDbsB2Pa/LnY3GdXZ8uSKiFyvuPj2/6XcnbVVrYQ3eIn0wfxmRMUAP1Sp4K9Rb0gNfr4+km4uEZF30iSAkZycjEGDBgEABg0ahAULFlhss23bNkRFRSEyMhL+/v7o168fkpOT7e6fnJyMfv36ISAgAPXq1UNUVBS2bdsGALh27Ro+//xzjBs3Tv0fkHRNzpfjoLYRqFGprN1tXu/RQG6XiIiIyA5WCvIO/DsTkSOaBDDOnj2LkJAQAEBISAjOnTtnsU1WVhbCw8ONj8PCwpCVlWV3f3v7vP3223j11VdRvnx5h/1LSkpCXFwc4uLicP78eZk/JelJ64jbNcjXvNYJH/eWvlaraXhlhXtERGqRM3XZFmmVTIiICGAggshTfflEM+O/e7fQZsaUagGMrl27onHjxhb/lcyicMTaCaijE0lb++zevRtHjx7Fo48+KurYQ4cOxY4dO7Bjxw5Ur15d1D6kb2/FN8DKVzqiXrUK8BFZzsuayuWZRIpI7+4k8WTwgchT1KlqegMqwMPzJaiVLy4jIwPlypVDs2bN0KxZMwwfPlyV/svJRURE+lf6cvydh+7WpA+qjf4rV67E/v37Lf7r1asXatasiezsbABAdnY2atSwTMIUFhaGU6dOGR9nZmYiNDQUAGzub2ufzZs3499//0VERATuvfdeHDlyBJ06dVLrRycdKuPro0gN8XWvdVagN0SkpuL/gtmcPEHkORqFmubA+HVYW4164hpq5YsDgPr162P37t3YvXs3pk2bpkr/OQODyDM92DjE+O/yAa5P4AlotIQkISEBM2fOBADMnDkTvXr1stimVatWSEtLQ3p6+v+3d/exUdT7Hsc/2y30SKEIbTnyJBWsFywsLeVBi0ABAWmxEqFFDgGlYm/wAUhAbhUFvIIhp0YNBwzhBqka0qIJhkRNTFUqYghoFRskIlFWEkEsEFaJPLTwu38gK6WltNudnZnt+/UXO9vdfjpZPt1+d+Y3unDhgsrLy5WXl9fk4/Py8lReXq7z58/r8OHDOnTokIYPH6758+fr6NGj8vv92rVrl+644w5VVlZG5oeFo704tWVXpOnMERiA44XzfXNmny5hfDYArZHcKS7473B8KOFkVq0X53QcuQE4W/vYGPnX5Mq/JlftvPYcCWfLdy0uLlZFRYVSU1NVUVGh4uJiSdLRo0eVk5MjSYqNjdW6des0adIkDRgwQAUFBUpLS2vy8WlpaSooKNCdd96p++67T+vXr5fXa89kCO4wa/itdkcAEGbh/ORv3b8ywvdkAFpl3czL/x+HtoHBolXrxUnS4cOHlZGRoTFjxujzzz+3JH+oNTzwmiNtJGnn0xz9CuBvsXZ808TERH3yyScNtvfo0UMffvhh8HZOTk5woNGcx0vSsmXLtGzZsut+75SUFO3fvz+E1IhGzfkFW/bYXZbnABBOob11/uzpbI0pqay3rUN7W35NAmjEiL6J8q/JtTtG2Nx777369ddfG2xfvXp1sx4fynpx3bt315EjR5SYmKiqqipNnTpV3333nRISGl5ufuPGjdq4caMktXhR+1AHyXNHpuh/3z9QbxtHvwK4WnSvgASEwd39Eu2OAESU6xePC/GNc5/E+PAGAYAm2LFeXFxcnBITL7+vyczMVL9+/fTDDz80mq81i9qHeioIV34CcCMMMIAm3JbUvD9otswbYXESIHLcvnjc34t48kYYgDtZtV5cTU2NLl68KEn66aefdOjQIfXt2zcSPxIAhAUDDKAJT4693e4IQMS5ffE4loAD4HZWrRe3c+dO+Xw+DR48WNOnT9eGDRvUtWvXsOcP51pEzKIBXI2TewEA9YS6eNyePXtu+Pgri8clJCRo1apVGjVqVKMZWnPu9aVLfx2B0aJHAYBzWLVe3LRp0zRt2rTwhrVYe5uudADAmRhgoE270R84jU39u3f+h44FzlmSB4gUpy8eV1RUpKKiIknS0KFDm5Xpiv7dE7T38KlWX0Hk39N9rXo8ALRVjf2OaK7KJdnKfrlSkjT8tq76RzuuKAjgb4w00abFxHh074B/tugx87P7NdiW0sy1MgCncPrica3h0eU3vX2TO7b4sf+Z+ffQY1z/hj83AKD59j47vsWPufo9Vc+bbwpnHABRgAEG2rx/JsS16vG9u97EL1hEFbcvHmcUntNHOAUFAEJz5QCMLvHtW/U8w1LCvz4HAHfjFBKgldrFMAdEdCkuLlZBQYE2bdqkW2+9Ve+++66ky4vHzZs3Tx9++GG9xeMuXryowsLCeovHNfb4nTt3avny5YqNjZXX67Vs8TgZyRPif8vRqZcvFZiS2EFdOrTujTcAtFVXTiAJdRD81XP3KnC2Vn05whXANRhgoM0b3OtmbdlzJOTH3zfwljCmAezn9sXjjIw8IR5g2LlDO/nX5IY5EQC0LVeOwAj1ctZJHeOU1LF1R8gCiE58dIw2L39or+ve16F9wxlf/DXblkz8r7BnAhA6Y7jsHgDYyYirQQGwBgMMtHlNfTowKa3hAp9TM3rWux0Tw69nwEmMGGAAgBPQxQDCjQEGcB2d4mIbHW54YzyaeGfLrlwCILI8fO4HALZpxVVUAaBJDDCAEPznXxk3/iIAtjC8cwYAWwUX8eQQDABhxiKewHU8Pvb2694XF+vViNu6KrEjVykAnIZTSADAZgySAViEAQZwHfOz+zV5/9b/vjtCSQC0BO+bAcB+DJIBWIFTSAAAUeXyERi8cwYAuzBHBmAVBhiApPH9u9kdAUC4GMMSngBgI2O4hCoAazDAACT935yhdkcAECasgQEA9jIyHAkHwBIMMABJMTH8kgWiBZ/8AYD96GEAVmCAAQCIKnzyBwD2YjFlAFZhgAEAiCocgQEA9uJUPgBWYYAB/GXX/4xV+1j+SwBuZwxvnAHATpcHyRQxgPDjrzXgL726dNDahzIkSf1v6WRzGgCtwxtnALAVNQzAArF2BwCc5L6Bt8i/JtfuGABa4b0nsvjkDwBstHjiHVp0b6rdMQBEIQYYAICoEhfrtTsCALRp7bwxakcVA7AAp5AAAAAAAADHY4ABAAAAAAAcjwEGAAAAAABwPAYYAAAAAADA8RhgAAAAAAAAx2OAAQAAAAAAHI8BBgAAAAAAcDwGGAAAAAAAwPEYYAAAAAAAAMdjgAEAAAAAAByPAQYAAAAAAHA8BhgAAAAAAMDxGGAAAAAAAADHY4ABAAAAAAAcz2OMMXaHcLKkpCSlpKS06DE1NTVKTk62JlAYuSWnRFYrkdc6oWT1+/06ceKERYnciR52BjdllchrpWjPSg83RA87g5uySuS1kpuySuHtYgYYFhg6dKi++uoru2PckFtySmS1Enmt46as0cYt+94tOSV3ZZXIayWyojncsu/dklNyV1aJvFZyU1YpvHk5hQQAAAAAADgeAwwAAAAAAOB4DDAsUFRUZHeEZnFLTomsViKvddyUNdq4Zd+7JafkrqwSea1EVjSHW/a9W3JK7soqkddKbsoqhTcva2AAAAAAAADH4wgMAAAAAADgeAwwAAAAAACA4zHACFHHjh3tjtAkj8ej2bNnB2/X1dUpOTlZU6ZMsTFV49yUtTE3ei1kZ2fbfpmj1atXKy0tTT6fT+np6dqzZ4+tea7H4/Fo8eLFwdsvv/yyVq5caV+gZnJ6H0QzJ+97N3Wbm7I2hh4OH3oYLeX0fe+WfnNLzuuhh8PLjV0cqS5ggBGl4uPjtX//fp09e1aSVFFRoZ49e7boOerq6qyI1kA4suL6du/erffff19ff/21qqur9fHHH6t37952x2pUXFyctm3bphMnTtgdBWg1ehhX0MOAfdzSxfSwtdzUwxJd3BQGGK1w5swZjR8/XkOGDNGgQYO0fft2SZLf79eAAQP02GOPKS0tTRMnTgyWUSRNnjxZH3zwgSSprKxMM2fODN63d+9eZWVlKSMjQ1lZWTp48KAkqbS0VPn5+br//vs1ceJER2cdNWqU9u3bF/y6kSNHqrq6OmKZr1ZZWVlvQv7kk0+qtLTUlizXOnbsmJKSkhQXFydJSkpKUo8ePVRVVaUxY8YoMzNTkyZN0rFjxyRdnpAvWrRIWVlZGjhwoPbu3RuxrLGxsSoqKtKrr77a4L6ff/5Z48ePl8/n0/jx43XkyBEFAgGlpKTo0qVLkqQ///xTvXv3Vm1tbcQyX+H0PohmTt739HDk0MPhQQ8jFE7f927pYnrYOm7qYcm9XRyRLjAISXx8vKmtrTWBQMAYY0xNTY3p16+fuXTpkjl8+LDxer3mm2++McYYk5+fb95+++2I5/v222/NtGnTzNmzZ83gwYPNjh07TG5urjHGmEAgYGpra40xxlRUVJgHH3zQGGPM5s2bTc+ePc3Jkycdn7W0tNQsXLjQGGPMwYMHTWZmZsQyX5v/6rzGGPPEE0+YzZs3G2OMGTNmjPnyyy9tyWaMMX/88YcZPHiwSU1NNfPnzzeVlZXmwoUL5u677za//fabMcaY8vJyM3fu3GDeefPmGWOM+eyzz0xaWlrEssbHx5tAIGD69OljTp8+bUpKSsyKFSuMMcZMmTLFlJaWGmOM2bRpk3nggQeMMcbk5eWZTz/9NPhzPProoxHLe3VuJ/dBNHPyvqeHI4ceDh96GC3l9H3vli6mh63lph42xp1dHKkuiA3jwKXNMcbo2Wef1c6dOxUTE6NffvlFx48flyTddtttSk9PlyRlZmbK7/dHPJ/P55Pf71dZWZlycnLq3RcIBPTwww/r0KFD8ng89aZzEyZMUNeuXR2fNT8/Xy+++KJKSkr0xhtv6JFHHoloZrfo2LGjqqqq9Pnnn2vHjh2aMWOGnnvuOe3fv18TJkyQJF28eFHdu3cPPubKxH/06NH6/fffdfr0ad18880RyZuQkKA5c+Zo7dq1uummm4Lbd+/erW3btkmSZs+eraVLl0qSZsyYoa1bt2rs2LEqLy/X448/HpGc13J6H0QzJ+97ehgSPRwpTu6CaOf0fe+WLqaHreO2Hpbc2cWR6AIGGK2wZcsW1dTUqKqqSu3atVNKSorOnTsnScHDkyTJ6/XadqhiXl6elixZosrKSp08eTK4/fnnn9fYsWP13nvvye/3Kzs7O3hffHy8DUlbnrVDhw6aMGGCtm/frnfeecfWhYFiY2ODh2xJCr4OnMLr9So7O1vZ2dkaNGiQ1q9fr7S0NO3evbvRr/d4PE3ettqiRYs0ZMgQzZ0797pfcyVTXl6ennnmGZ06dUpVVVUaN25cpGLW44Y+iFZO3/f0cGTQw+FFD6Ml3LDv3dLF9LB13NbDkvu6OBJdwBoYrRAIBNStWze1a9dOO3bs0M8//2x3pAYKCwu1fPlyDRo0qN72QCAQXBjIKeemhZJ13rx5WrBggYYNGxbxTyuv1qdPHx04cEDnz59XIBDQJ598YluWax08eFCHDh0K3t63b58GDBigmpqaYGHX1tbqu+++C37N1q1bJUm7du1S586d1blz54hm7tq1qwoKCrRp06bgtqysLJWXl0u6XI733HOPpMsT9eHDh2vhwoWaMmWKvF5vRLNe4YY+iFZO3/f0cGTQw+FFD6Ml3LDv3dLF9LA13NjDkvu6OBJdwBEYIairq1NcXJxmzZql+++/X0OHDlV6err69+9vd7QGevXqpYULFzbYvnTpUj388MN65ZVXbPuk5FqhZM3MzFRCQkKTU0krXXkt9O7dWwUFBfL5fEpNTVVGRoYteRpz5swZPfXUUzp9+rRiY2N1++23a+PGjSoqKtKCBQsUCARUV1enRYsWKS0tTZLUpUsXZWVl6ffff9cbb7xhS+7Fixdr3bp1wdtr165VYWGhSkpKlJycrM2bNwfvmzFjhvLz81VZWRnxnG7qg2jjln1PD1uLHrYOPYwbcdO+d0sX08PWcGsPS+7o4oh2QeuX62h79u3bZ4YNG2Z3DBhjfvnlF5OammouXrxoy/ePxteC3YssuU00vgbcgn3vDPRw+NHDLRONrwG3YN87Az0cfvRwy0TyNcApJC20YcMGzZw5U6tWrbI7Spv31ltvacSIEVq9erViYiL/Uua1AF4D9mHfOwM9DLvxGrAP+94Z6GHYLdKvAY8xxkTkOwEAAAAAAISIIzAAAAAAAIDjMcAAAAAAAACOxwADAAAAAAA4HgMMoAkej0ezZ88O3q6rq1NycrKmTJkS0vOdPn1ar7/+evB2ZWVlyM8FAG0BPQwA9qKH4SQMMIAmxMfHa//+/Tp79qwkqaKiQj179gz5+a4tbABA0+hhALAXPQwnYYAB3MDkyZP1wQcfSJLKyso0c+bM4H2nTp3S1KlT5fP5dNddd6m6ulqStHLlShUWFio7O1t9+/bV2rVrJUnFxcX68ccflZ6erqefflqSdObMGU2fPl39+/fXrFmzxIWBAKA+ehgA7EUPwykYYAA38NBDD6m8vFznzp1TdXW1RowYEbxvxYoVysjIUHV1tV566SXNmTMneN/333+vjz76SHv37tULL7yg2tparVmzRv369dO+fftUUlIiSfrmm2/02muv6cCBA/rpp5/0xRdfRPxnBAAno4cBwF70MJyCAQZwAz6fT36/X2VlZcrJyal3365du4LnBI4bN04nT55UIBCQJOXm5iouLk5JSUnq1q2bjh8/3ujzDx8+XL169VJMTIzS09Pl9/st/XkAwG3oYQCwFz0Mp4i1OwDgBnl5eVqyZIkqKyt18uTJ4PbGDm/zeDySpLi4uOA2r9erurq6Rp+7uV8HAG0ZPQwA9qKH4QQcgQE0Q2FhoZYvX65BgwbV2z569Ght2bJF0uUVlJOSkpSQkHDd5+nUqZP++OMPS7MCQDSihwHAXvQwnIAjMIBm6NWrlxYuXNhg+8qVKzV37lz5fD516NBBb775ZpPPk5iYqJEjR2rgwIGaPHmycnNzrYoMAFGFHgYAe9HDcAKPYYlXAAAAAADgcJxCAgAAAAAAHI8BBgAAAAAAcDwGGAAAAAAAwPEYYAAAAAAAAMdjgAEAAAAAAByPAQYAAAAAAHA8BhgAAAAAAMDx/h8AuKG8ikd3/wAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axs = plt.subplots(1,3, figsize=(15, 6), facecolor='w', edgecolor='k')\n",
"fig.subplots_adjust(hspace = .5, wspace=.001)\n",
"\n",
"# Wrap the axes\n",
"axs = axs.ravel()\n",
"\n",
"# Plot\n",
"axs[0].plot(solpos_nrel['azimuth']-solpos_pyephem['azimuth'])\n",
"axs[1].plot(solpos_nrel['azimuth']-solpos_ephemeris['azimuth'])\n",
"axs[2].plot(solpos_pyephem['azimuth']-solpos_ephemeris['azimuth'])\n",
"\n",
"# Add characteristics to each subplot in a loop\n",
"plots = [\"NREL SPA ('nrel_numpy') & PyEphem\", \"NREL SPA ('nrel_numpy') & Ephemeris\", \"PyEphem & Ephemeris\"]\n",
"for i in range(3):\n",
" axs[i].set_xlabel('Month')\n",
" axs[i].set_ylabel('Difference (degree)')\n",
" axs[i].set_title(plots[i])\n",
" axs[i].xaxis.set_major_formatter(mdates.DateFormatter('%b'))\n",
"\n",
"plt.tight_layout()\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "dec9022c",
"metadata": {},
"source": [
"The absolute differences between methods can then be computed:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "1c5a1d31",
"metadata": {
"tags": [
"hide-input"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Absolute differences between solar position algorithms:\n",
"-------------------------------------------------------\n",
"Solar Zenith Angle\n",
"- NREL & PyEphem : 0.00013\n",
"- NREL & Ephemeris : 0.00835\n",
"- PyEphem & Ephemeris : 0.00843\n",
"\n",
"Solar Azimuth Angle\n",
"- NREL & PyEphem : 0.00047\n",
"- NREL & Ephemeris : 0.01666\n",
"- PyEphem & Ephemeris : 0.01713\n"
]
}
],
"source": [
"# compute the absolute difference in Solar Zenith Angle between SPA methods\n",
"nrel_pyephem = np.abs(solpos_nrel['zenith']-solpos_pyephem['zenith']).max()\n",
"nrel_ephemeris = np.abs(solpos_nrel['zenith']-solpos_ephemeris['zenith']).max()\n",
"pyephem_ephemeris = np.abs(solpos_pyephem['zenith']-solpos_ephemeris['zenith']).max()\n",
"\n",
"# list of variables \n",
"spa_methods_sza = [nrel_pyephem, nrel_ephemeris, pyephem_ephemeris] # Solar Zenith Angle\n",
"\n",
"# compute the absolute difference in Solar Zenith Angle between SPA methods\n",
"nrel_pyephem = np.abs(solpos_nrel['azimuth']-solpos_pyephem['azimuth']).max()\n",
"nrel_ephemeris = np.abs(solpos_nrel['azimuth']-solpos_ephemeris['azimuth']).max()\n",
"pyephem_ephemeris = np.abs(solpos_pyephem['azimuth']-solpos_ephemeris['azimuth']).max()\n",
"\n",
"# list of variables \n",
"spa_methods_azi = [nrel_pyephem, nrel_ephemeris, pyephem_ephemeris] # Solar Azimuth Angle\n",
"\n",
"spa_names = ['NREL & PyEphem','NREL & Ephemeris','PyEphem & Ephemeris']\n",
"\n",
"print(\"Absolute differences between solar position algorithms:\\n\" + \"-\"*55)\n",
"print(\"Solar Zenith Angle\")\n",
"for i in range(len(spa_names)):\n",
" print(\"-\", spa_names[i], \": {:.5f}\".format(spa_methods_sza[i]))\n",
"\n",
"print(\"\\nSolar Azimuth Angle\")\n",
"for i in range(len(spa_names)):\n",
" print(\"-\", spa_names[i], \": {:.5f}\".format(spa_methods_azi[i]))"
]
},
{
"cell_type": "markdown",
"id": "ca2dcd6e",
"metadata": {},
"source": [
"We observe that the differences among methods are small in the range of 0.01 degree."
]
},
{
"cell_type": "markdown",
"id": "130378a7",
"metadata": {},
"source": [
"## Applications of solar position\n",
"\n",
"The use of solar position algorithms in solar resource can have several direct applications. For example, the visualization of sun path diagrams or the estimation of sunrise, sunset and solar transit time. \n",
"\n",
"\n",
"### The solar analemma\n",
"\n",
"One of the applications of solar position can creating the solar analemman. An analemma is a diagram showing the position of the Sun in the sky as seen from a fixed location on Earth at the same mean solar time. In Python, we could implement the analemma as follows:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "cb6cdac2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Definition of a times (noon)\n",
"times = pd.date_range('2020-01-01 12:00:00', '2021-01-01 12:00:00', closed='left', freq='W', tz='UTC')\n",
"# Solar Position Estimation for the object 'site' (CIEMAT, Madrid (Spain))\n",
"solpos = site.get_solarposition(times)\n",
"\n",
"# Plotting the Analemma\n",
"plt.scatter(solpos['azimuth'], solpos['apparent_elevation'], marker=\"*\", c=times.isocalendar().week, cmap='plasma')\n",
"cbar = plt.colorbar()\n",
"cbar.set_label('Week of Year')\n",
"plt.xlabel('Solar Azimuth Angle (degree)')\n",
"plt.ylabel('Solar Elevation Angle (degree)')\n",
"plt.title('Solar Analemma in ' + site.name + ' at noon (UTC)')\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "c221147f",
"metadata": {},
"source": [
"**Sun path diagrams throughout the day** are another application of the solar angles. There are some well documented examples availabe for [sun path diagrams](https://pvlib-python.readthedocs.io/en/stable/auto_examples/plot_sunpath_diagrams.html) in the documentation of *pvlib*."
]
},
{
"cell_type": "markdown",
"id": "fdb3270e",
"metadata": {},
"source": [
"### Other applications\n",
"\n",
"Solar position angles can also be used to estimate the **sunrise, sunset and solar transit time**. *pvlib* has specific functions to estimate these times with different methods: [NREL's SPA](https://pvlib-python.readthedocs.io/en/stable/generated/pvlib.solarposition.sun_rise_set_transit_spa.html), [PyEphem package](https://pvlib-python.readthedocs.io/en/stable/generated/pvlib.solarposition.sun_rise_set_transit_ephem.html) and [geometric calculation](https://pvlib-python.readthedocs.io/en/stable/generated/pvlib.solarposition.sun_rise_set_transit_geometric.html). \n",
"\n",
"The **Equation of Time** can also be estimated using the available *pvlib* functions related to solar position. In fact, it is one of the available outputs when using the NREL's SPA method. The equation of time is the difference apparent solar time minus mean solar time. In other words, if the sun is ahead of the clock the sign is positive, and if the clock is ahead of the sun the sign is negative. Let's see how the equation of time looks:\n"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "208e8d1b",
"metadata": {
"tags": [
"hide-input"
]
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
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"fig, ax1 = plt.subplots()\n",
"ax1 = solpos_nrel['equation_of_time'].plot(zorder=2)\n",
"ax1.hlines(0, solpos_nrel.index[0], solpos_nrel.index[-1], color='black', zorder=1)\n",
"ax1.set_ylabel('Minutes')\n",
"plt.title('Equation of Time')\n",
"plt.show()"
]
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"## Summary\n",
"\n",
"This section has introduced the basics of solar position and how to estimate in Python the characteristic angles used in solar energy applications. Particularly, the following examples have been covered: \n",
"- The estimation of solar angles using function-based and object-oriented code. \n",
"- The estimation solar angles attending to several solar position algorithms currently available in *pvlib*. Comparison of the methods: NREL SPA, PyEphem and Ephemeris. \n",
"- Several applications in the use of solar angles (e.g., solar analemma) have been shown.\n",
"\n",
"Solar angles are typically used as input to multiple solar resource modelling techniques and you will find in other sections of AssessingSolar.org. \n",
"\n",
"\n",
"***\n",
"\n",
"## References\n",
"\n",
"Blanc, P.; Wald, L. (2012). The SG2 algorithm for a fast and accurate computation of the position of the Sun for multi-decadal time period. Solar Energy, Elsevier, 88 (10), pp. 3072-3083. doi:[10.1016/j.solener.2012.07.018](https://www.sciencedirect.com/science/article/pii/S0038092X12002800)\n",
"\n",
"Reda, I.; Andreas, A. (2003). Solar Position Algorithm for Solar Radiation Applications. 55 pp.; NREL Report No. TP-560-34302, Revised January 2008. https://www.nrel.gov/docs/fy08osti/34302.pdf\n",
"\n",
"Rhodes B. C. (2011). PyEphem: Astronomical Ephemeris for Python\n",
"(ascl:1112.014) https://ui.adsabs.harvard.edu/abs/2011ascl.soft12014R"
]
}
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