{ "cells": [ { "cell_type": "markdown", "id": "bb551b95", "metadata": {}, "source": [ "# MELTS geobarometry part 1 - quartz - 2-feldspar saturated rhyolites" ] }, { "cell_type": "markdown", "id": "c13695be", "metadata": {}, "source": [ "- The position of the quartz - 2-feldspar eutectic in high-silca rhyolitic magmas is sensitive to pressure (and possibly other variables; fO$_2$, H$_2$O, CO$_2$).\n", "- If MELTS accurately recreates phase stability (and the sensitivity to the relevant parameters), it could be used as a barometer in igneous systems by searching for the pressure at which the mineral saturation curves intersect.\n", "\n", "**Before any calculations can be run** users need to download the alphaMELTS for MATLAB files. Please see the installation guide on ReadTheDocs." ] }, { "cell_type": "code", "execution_count": 1, "id": "a6872970", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "alphaMELTS for Python files successfully located.\n", "If using the Green et al. (2025) or Weller et al. (2024) thermodynamic models please run `ptt.activate_petthermotools_env()` prior to any calculations.\n" ] } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "import petthermotools as ptt\n", "\n", "# If the alphaMELTS for Python files have not been added to your Python path (see installation guide) then use the two lines below to add\n", "# the location of the alphaMELTS files here.\n", "# import sys\n", "# sys.path.append(r'MELTS')" ] }, { "cell_type": "code", "execution_count": 3, "id": "7ddae183", "metadata": {}, "outputs": [], "source": [ "# used to suppress MELTS outputs in MacOS systems (run twice)\n", "import platform\n", "if platform.system() == \"Darwin\":\n", " import sys\n", " import os\n", " sys.stdout = open(os.devnull, 'w')\n", " sys.stderr = open(os.devnull, 'w')" ] }, { "cell_type": "markdown", "id": "b924116d", "metadata": {}, "source": [ "To demonstrate how PetThermoTools can be used to evaluate the pressure of magma storage we will use the composition of a quartz-hosted melt inclusion from Anderson et al. (2000) to evaluate the method:" ] }, { "cell_type": "code", "execution_count": 5, "id": "40b1fa04", "metadata": {}, "outputs": [], "source": [ "bulk = {'SiO2_Liq': 77.6,\n", " 'TiO2_Liq': 0.09,\n", " 'Al2O3_Liq': 12.3,\n", " 'FeOt_Liq': 0.65,\n", " 'MgO_Liq': 0.02,\n", " 'CaO_Liq': 0.41,\n", " 'Na2O_Liq': 4.49,\n", " 'K2O_Liq': 4.69,\n", " 'Fe3Fet_Liq': 0.20}\n" ] }, { "cell_type": "markdown", "id": "ce9c052b", "metadata": {}, "source": [ "In this case, we evaluate the saturation temperature of quartz, plagioclase, and k-feldspar at 32 pressures between 250 and 5000 bars. The model runs an equilibrium crystallisation calculation at each pressure (these calculations are run in parallel),with the calculations starting at the liquidus and continuing until either: (i) all three phases are saturated; or (ii) the temperature is more than 25$^o$C below the liquidus (T_maxdrop_C).\n", "\n", "The function will then calculate the maximum temperature separating the saturation of the 3 phases and use a spline fit to determine the pressure of the minimum offset. This pressure is then taken forward as the pressure of storage/extraction." ] }, { "cell_type": "code", "execution_count": 6, "id": "5f99ebb4", "metadata": { "scrolled": true }, "outputs": [], "source": [ "P_bar = np.linspace(250, 5000, 64)\n", "phases = ['quartz1', 'plagioclase1', 'alkali-feldspar1']\n", "minimum, xstal = ptt.mineral_cosaturation(\n", " Model = \"MELTSv1.0.2\", bulk= bulk,\n", " P_bar = P_bar,\n", " T_initial_C= 900.0,\n", " find_min=True, H2O_Sat=True, T_maxdrop_C=25.0,\n", " dt_C=1.0, fO2_buffer = \"NNO\", T_cut_C = 5,\n", " phases = phases)" ] }, { "cell_type": "markdown", "id": "e152dac0", "metadata": {}, "source": [ "To evaluate these results we can do a few different things.\n", "\n", "First we can examine the two outputs. Here `minimum` is a dictionary containing two variables, one (a DataFrame called `Output`) contains the saturation temperature of the three phases of interest and the temperature offsets between the different mineral pairs." ] }, { "cell_type": "code", "execution_count": 7, "id": "21e31fe3", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " P_bar quartz1 plagioclase1 alkali-feldspar1 \\\n", "0 250.000000 NaN 903.7 NaN \n", "1 325.396825 NaN 888.3 NaN \n", "2 400.793651 NaN 874.9 NaN \n", "3 476.190476 NaN 863.0 NaN \n", "4 551.587302 NaN 852.3 830.3 \n", "\n", " quartz1 - plagioclase1 quartz1 - alkali-feldspar1 \\\n", "0 NaN NaN \n", "1 NaN NaN \n", "2 NaN NaN \n", "3 NaN NaN \n", "4 NaN NaN \n", "\n", " plagioclase1 - alkali-feldspar1 3 Phase Saturation \n", "0 NaN NaN \n", "1 NaN NaN \n", "2 NaN NaN \n", "3 NaN NaN \n", "4 22.0 NaN " ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "minimum['Output'].head()" ] }, { "cell_type": "markdown", "id": "9ab1330c", "metadata": {}, "source": [ "The second variable in `minimum` is called `CurveMin` and represents a dictionary containing a series of key-value pairs, including the pressure estimated for mineral co-saturation (`P_min`) for each mineral-mineral pair and for 3 phase saturation (pressure here is given in bars)." ] }, { "cell_type": "code", "execution_count": 8, "id": "08f730cd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.float64(2078.846614022493)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "minimum['CurveMin']['quartz1 - plagioclase1']['P_min']" ] }, { "cell_type": "markdown", "id": "4584abe1", "metadata": {}, "source": [ "The second output (`xstal`) contains the full results of the crystallization calculations, as you would receive if you ran these calculations through the `isobaric_crystallisation` function:" ] }, { "cell_type": "code", "execution_count": 9, "id": "8e74c735", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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5 rows × 87 columns

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" ], "text/plain": [ " T_C P_bar mass_g H_J S_J/K V_cm^3 rho_kg/m^3 \\\n", "0 904.7 250.0 100.003608 -1.329399e+06 373.737438 361.435387 276.684607 \n", "1 903.7 250.0 100.003619 -1.329608e+06 373.560437 361.209792 276.857441 \n", "2 902.7 250.0 100.003629 -1.329818e+06 373.381880 360.987273 277.028130 \n", "3 901.7 250.0 100.003640 -1.330028e+06 373.203748 360.763455 277.200028 \n", "4 900.7 250.0 100.003651 -1.330237e+06 373.026040 360.538337 277.373140 \n", "\n", " log10(fO2) dVdP_cm^3/bar H2O_Fl ... H_J_Plag S_J/K_Plag \\\n", "0 -11.805683 -1.325224 100.0 ... NaN NaN \n", "1 -11.823668 -1.324568 100.0 ... -4058.862416 0.664962 \n", "2 -11.841684 -1.323928 100.0 ... -8246.177392 1.350298 \n", "3 -11.859730 -1.323282 100.0 ... -12395.879416 2.028795 \n", "4 -11.877807 -1.322631 100.0 ... -16507.929860 2.700452 \n", "\n", " Cp_J/(kg.K^2)_Plag dCpdT_J/(kg.K^2)_Plag dVdT_cm^3/K_Plag \\\n", "0 NaN NaN NaN \n", "1 1221.686563 0.000029 0.000004 \n", "2 1221.597228 0.000059 0.000007 \n", "3 1221.507904 0.000089 0.000011 \n", "4 1221.418614 0.000118 0.000014 \n", "\n", " dPdT_bar/K_Plag d2VdT2_cm^3/K^2_Plag d2VdTdP_cm^3/(bar.K)_Plag \\\n", "0 NaN NaN NaN \n", "1 NaN 4.256630e-10 9.480140e-13 \n", "2 NaN 8.553050e-10 1.955620e-12 \n", "3 NaN 1.271233e-09 2.984904e-12 \n", "4 NaN 1.673350e-09 4.036147e-12 \n", "\n", " d2VdP2_cm^3/bar^2_Plag molwt_Plag \n", "0 NaN NaN \n", "1 1.065408e-12 264.964405 \n", "2 2.164847e-12 264.958941 \n", "3 3.254702e-12 264.953643 \n", "4 4.334935e-12 264.948505 \n", "\n", "[5 rows x 87 columns]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xstal['Run 0']['All'].head()" ] }, { "cell_type": "markdown", "id": "2fe5b996", "metadata": {}, "source": [ "Now that we have looked out the outputs we can use a series of in-built plotting functions to visualise the results. For example, we can view the saturation surfaces of the three phases against pressure. For both of the plotting functions we need to pass the `minimum` variable as the `Results`:" ] }, { "cell_type": "code", "execution_count": 10, "id": "fa9b920f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ptt.plot_surfaces(Results = minimum, P_bar = P_bar, phases = phases)" ] }, { "cell_type": "markdown", "id": "2e886126", "metadata": {}, "source": [ "Alternatively we can examine the residual temperatures and how these vary with pressure (along with the spline fit)." ] }, { "cell_type": "code", "execution_count": 11, "id": "7fb756c6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ptt.residualT_plot(Results = minimum, P_bar = P_bar, phases = phases)" ] }, { "cell_type": "markdown", "id": "6dc19789", "metadata": {}, "source": [ "Alternatively, we can extract the pressure of magma storage directly from the 'Results' output variable. Doing so reveals that 'Results' contains a variety of information. First, it contains arrays for the saturation temperature of the three phases (at each pressure). Second, the liquidus temperature and the melt H$_2$O content at the liquidus is also included. Third, the temperature residuals between the saturation points of the different phases are also stored in this output. Finally, if 'find_min = True' has been selected in the initial function, the 'Results' variable will also contain the minimum pressure determined by the spline-fit to the data." ] }, { "cell_type": "markdown", "id": "8f116e05", "metadata": {}, "source": [ "Examine the quartz saturation temperature (pressure is given by the variable P_bar):" ] }, { "cell_type": "code", "execution_count": 12, "id": "88c925fd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ nan, nan, nan, nan, nan, nan, 810. , 804. , 797.7,\n", " 793.1, 788. , 784.3, 780.1, 776.3, 773.8, 770.6, 767.6, 765.9,\n", " 763.4, 761.1, 758.9, 757.9, 756.1, 753.9, 752.7, 751.7, 749.8,\n", " 749.3, 749.3, 749.4, 749.5, 749.6, 749.7, 749.8, 750. , 750.1,\n", " 750.3, 750.5, 750.7, 750.8, 751. , 751.2, 751.4, 751.6, 751.7,\n", " 751.9, 752.1, 752.3, 752.4, 752.6, 752.7, 752.9, 753. , 753.1,\n", " 753.3, 753.4, 753.5, 753.6, 753.7, 753.8, 753.9, 754. , 754.1,\n", " 754.2])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "minimum['Output']['quartz1'].values" ] }, { "cell_type": "markdown", "id": "71946e73", "metadata": {}, "source": [ "Examine the temperature residual between quartz and plagioclase saturation:" ] }, { "cell_type": "code", "execution_count": 13, "id": "548c96ec", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([nan, nan, nan, nan, nan, nan, 24., 22., 21., 19., 18., 16., 15.,\n", " 14., 12., 11., 10., 8., 7., 6., 5., 3., 2., 0., 0., 1.,\n", " 1., 1., 3., 4., 6., 7., 9., 10., 12., 14., 15., 16., 18.,\n", " 19., 20., 22., 23., nan, nan, nan, nan, nan, nan, nan, nan, nan,\n", " nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "minimum['Output']['quartz1 - plagioclase1'].values" ] }, { "cell_type": "code", "execution_count": 13, "id": "fc4d7e94", "metadata": {}, "outputs": [], "source": [ "print('Pressure of minimum residual: ' + str(round(minimum['CurveMin']['3 Phase Saturation']['P_min'],2)) + ' bars')\n", "print('Minimum temperature residual: ' + str(round(minimum['CurveMin']['3 Phase Saturation']['Res_min'], 2)) + ' $^o$C')" ] }, { "cell_type": "markdown", "id": "421d51d2", "metadata": {}, "source": [ "## How does parallel processing affect calculation speeds?\n", "\n", "Here we run the same calculations but investigate how parallel processing might influence the speed of the calculations by running the calculation first with only 1 process in parallel, then increasing this number to 2, 4, and 8." ] }, { "cell_type": "code", "execution_count": 14, "id": "f3b2bc19", "metadata": {}, "outputs": [], "source": [ "import time" ] }, { "cell_type": "code", "execution_count": 15, "id": "d4049359", "metadata": {}, "outputs": [], "source": [ "P_bar = np.linspace(250, 5000, 64)\n", "phases = ['quartz1', 'plagioclase1', 'alkali-feldspar1']\n", "c = np.array([1, 2, 3, 4, 6, 8])\n", "t = np.zeros(len(c))\n", "for i in range(len(c)):\n", " s = time.time()\n", " Results = ptt.mineral_cosaturation(Model = \"MELTSv1.0.2\",\n", " cores = c[i],\n", " bulk= bulk,\n", " H2O_Sat=True,\n", " P_bar = P_bar,\n", " T_initial_C=900,\n", " T_maxdrop_C=25,\n", " dt_C=1,\n", " fO2_buffer=\"NNO\",\n", " timeout = 200,\n", " phases = phases)\n", " \n", " t[i] = time.time() - s" ] }, { "cell_type": "code", "execution_count": 16, "id": "db5470b7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([36.72323108, 23.04434204, 20.19610405, 17.41049337, 16.80124736,\n", " 17.44331813])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "t" ] }, { "cell_type": "code", "execution_count": 17, "id": "76c8a124", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.45751005196152306" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "t[4]/t[0]" ] }, { "cell_type": "code", "execution_count": 18, "id": "fa882994", "metadata": {}, "outputs": [], "source": [ "t_null = 32.6 # time taken to run these calculations in the main process (i.e., no child processes or parallization)" ] }, { "cell_type": "code", "execution_count": 20, "id": "a2fc68e9", "metadata": {}, "outputs": [], "source": [ "# load in time constraints for when this code was run on different machines\n", "# lenovo P620\n", "t_P620_null = 68.05\n", "c_P620 = np.array([1,2,3,4,6,8,10,12,16,20,24,28,32])\n", "t_P620 = np.array([67.58162308, 46.56659913, 33.45296741, 31.14283967, 31.25809503,\n", " 33.38872027, 41.64300919, 38.08958292, 44.94679379, 48.21261454,\n", " 52.22937322, 52.43954849])" ] }, { "cell_type": "code", "execution_count": 21, "id": "2f764bad", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 58.7222222222222, 'No. of Parallel Processes')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, a = plt.subplots(3,1, figsize = (4, 8), sharex = True)\n", "f.tight_layout()\n", "a[0].plot(c, t, 'ob', mec = 'k', label = \"multiprocessing\")\n", "a[0].plot(1, t_null, 'dr', mec = 'k', label = \"Main Process Only\")\n", "# a[0].plot(c, t_P620, 'or', mec = 'k', label = \"2022 Lenovo P620 - i9 12th gen\")\n", "a[0].set_ylabel('Time (secs)')\n", "a[0].legend()\n", "\n", "a[1].plot(c, 100*t/t_null, 'ob', mec = 'k', label = \"2022 MacBook Pro - M2\")\n", "a[1].plot(1, 100*t_null/t_null, 'dr', mec = 'k', label = \"2022 MacBook - Main Process Only\")\n", "# a[1].plot(c, 100*t_P620/t_P620[0], 'or', mec = 'k', label = \"2022 Lenovo P620 - i9 12th gen\")\n", "a[1].set_ylabel('Run time relative to 1 process \\n on each machine')\n", "\n", "a[2].plot(c, 100*t/t[0], 'ob', mec = 'k', label = \"2022 MacBook Pro M2\")\n", "# a[2].plot(c, 100*t_P620/t[0], 'or', mec = 'k', label = \"2022 Lenovo P620 - i9 12th gen\")\n", "a[2].set_ylabel('Run time relative to 1 process \\n on MacBook Pro')\n", "\n", "a[2].set_xlabel('No. of Parallel Processes')" ] }, { "cell_type": "code", "execution_count": 22, "id": "1e8b5818", "metadata": {}, "outputs": [ { "data": { "image/png": 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Nm0blypXR19enSJEi6Ovrc+3atVw7dtq3b4+enp7qfVa2pU6dOuzatYtvv/2WkJCQNE8VJSmztm/fTtGiRfHx8VE75qpXr46NjU2aHl6rV69OqVKlVO8rVaoEJFf/e7fdccp0Ted1yjGeolu3bgCq83r79u0oFAo+++wztZhsbGyoVq1ampiKFStGkyZN0qwnP3wnZHVbcjrfsmXLUqxYMUaPHs2iRYuIiIjI1PoOHjxIlSpVqFatmtr0lM8quzZs2ED9+vUxNTWlSJEi6OnpsXjx4vd+HnXq1OHs2bMMGjSIPXv2EBcX90FxSFJ+lt1r1759+1AqlQwePDjXYsuN+6WUa3/qe9w6depQqVKlNPe4NjY21KlTR21a1apVc+yp/rsUCgVt2rRRvU+5Z7W1tVXrG8PS0pISJUqoxbB9+3YaN26MnZ2d2nU65R740KFDOR5vQSA7V8sH3N3dcXd3B5KrfYwePZrZs2czY8YMZsyYwYsXL/Dy8sLQ0JApU6ZQvnx5jI2NuXPnDn5+frlWMNFUHbFbt278+eefjBs3jtq1a2Nubq46cbMbx+PHjylSpEiaHsUVCgU2NjZpqhgXL148TR4GBgYftB9Sqi6mVMvU5MmTJ5iYmKjeW1paqs3X19fH2NgYQ0PDNNM13UjZ2NhonHb27Fm1mEaNGsWoUaM0xpS6ipKmz2zEiBH8/PPPjB49mkaNGlGsWDF0dHTo169fnh07WdmWefPmYW9vz7p165g+fTqGhoa0bNmSH3/8kXLlyuVKvFLB9ODBA549e4a+vr7G+anPH03ndEbTUzppTFGkSJE016eU8zzlOvbgwQOEEJQsWVJjTC4uLmrvNZ3T+eU7IavbktP5WlhYcOjQIaZOncqYMWN4+vQptra29O/fn++++07tx793PX78GGdn5zTTNV2TMys4OJjOnTvzySef8PXXX2NjY0ORIkVYuHDhe/sgCQwMxMTEhJUrV7Jo0SJ0dXVp2LAh06dPV90bSFJ+ZGVlhbGxMZGRkZlK/yHXrpR+OXKz47LcuF9KufZrupbb2dmlKVDnxj1uetK7Z039nZcy/d3vvAcPHvC///0v3ets6u9XKZkseOczenp6TJgwgdmzZ3PhwgUg+Ynw/fv3CQkJUf0qCGSp/VfKiZW6vXRG7WZTdw4RGxvL9u3bmTBhAt9++61qekrbtuwqXrw4iYmJPHr0SK3wLYQgJiZG1YlFbrKysgJg/vz56fb8mN5NYHbFxMRonJZy0U2JKTAwED8/P415VKhQQe29ph7MV65cSc+ePVXt7lP8888/FC1aNFOxGhoaEhsbm2Z6ehfW1HFkZVtMTEyYNGkSkyZN4sGDB6qn3z4+Ply+fDlT8UoSJB93xYsXT7dHXTMzsxxdX2JiIo8fP1a7cUo5z989rxUKBaGhoRo7Iko9TdM5nV++E7K6LbmRr5ubG2vXrkUIwblz51i2bBnff/89RkZGat9T7ypevHi619/UDA0N0+wjSL72pVzXIPk66+zszLp169S2R9OyqRUpUoQRI0YwYsQInj17xv79+xkzZgwtW7bkzp07+aIXe0nSRFdXl6ZNm7Jr1y7u3r373kLxh1y7Uu4P7969m2F78syes5rkxP1SainX/ujo6DT75/79+++NKb+ysrKiatWqTJ06VeN8Ozu7PI7o4yCrmmtRdHS0xukp1VlSDtqUL/HUNyC//PJLmmVT0qT+ZaxkyZIYGhpy7tw5temZ6XE1hUKhQAiRJo7ff/8dpVKZqTg0adq0KUCajiM2bdrEy5cvVfNzU/369SlatCgRERGqGgipX+k9NcuuNWvWIIRQvb916xZHjhxR9UJZoUIFypUrx9mzZ9ONKTMFB4VCkeYz27FjB/fu3VObltFn5uTkxNWrV9W+zB4/fsyRI0cyta3Z3ZaSJUsSEBBA165duXLlSpreoSUpI+3atePx48colUqNx1zqH65ywqpVq9Ter169GkB1Xrdr1w4hBPfu3dMYk5ub23vXkV++E3JiW3IqX4VCQbVq1Zg9ezZFixbl9OnT6ebfuHFjLl68qKpdlCLls3qXk5NTmn109erVNM18FAoF+vr6aoXumJiYLO1PgKJFi+Lv78/gwYN58uQJUVFRWVpekvJaYGAgQgj69+/P27dv08xPSEjgf//7H5C1a1dqLVq0QFdXl4ULF2aYLrPnrCY5cb+UWkpTodT3uCdPnuTSpUs5eo+bW0/GNWnXrh0XLlygTJkyGq/TsuCtmXzirUUtW7bE3t4eHx8fKlasSFJSEuHh4cycORNTU1OGDh0KgKenJ8WKFWPgwIFMmDABPT09Vq1aleamAVDdkEyfPp3WrVujq6tL1apV0dfX57PPPmPJkiWUKVOGatWqceLECY03GukxNzenYcOG/Pjjj1hZWeHk5MShQ4dYvHhxml8CXV1dAfj1118xMzPD0NAQZ2dnjVVomjdvTsuWLRk9ejRxcXHUr1+fc+fOMWHCBGrUqEGPHj0yHWN2mZqaMn/+fHr16sWTJ0/w9/enRIkSPHr0iLNnz/Lo0aP3Xuyz6uHDh3Ts2JH+/fsTGxvLhAkTMDQ0JDAwUJXml19+oXXr1rRs2ZKAgABKlSrFkydPuHTpEqdPn2bDhg3vXU+7du1YtmwZFStWpGrVqpw6dYoff/wxzS+vZcqUwcjIiFWrVlGpUiVMTU2xs7PDzs6OHj168Msvv/DZZ5/Rv39/Hj9+zIwZMzA3N8/09mZ2W+rWrUu7du2oWrUqxYoV49KlS6xYsQIPDw/55EfKkk8//ZRVq1bRpk0bhg4dSp06ddDT0+Pu3bscPHgQX19fOnbsmGPr09fXZ+bMmbx48YLatWtz5MgRpkyZQuvWrWnQoAGQ/CPf559/Tu/evQkLC6Nhw4aYmJgQHR3N4cOHcXNz44svvshwPfnlOyEntuVD8t2+fTsLFiygQ4cOuLi4IIQgODiYZ8+e0bx583TzHzZsGEuWLKFt27ZMmTKFkiVLsmrVKo01anr06MFnn33GoEGD6NSpE7du3WLGjBlpmka1a9eO4OBgBg0ahL+/P3fu3GHy5MnY2tpy7dq1DLfXx8cHV1dX3N3dsba25tatW8yZMwdHR0fZvEbK9zw8PFi4cCGDBg2iVq1afPHFF1SpUoWEhATOnDnDr7/+iqurKz4+Plm6dqXm5OTEmDFjmDx5Mq9fv6Zr165YWFgQERHBP//8w6RJk4DMn7Oa5MT9UmoVKlTg888/Z/78+ejo6NC6dWuioqIYN24cDg4ODB8+PJN7+v3c3NwICQnhf//7H7a2tpiZmeXKD8wA33//Pfv27cPT05OvvvqKChUq8ObNG6Kioti5cyeLFi3Kd+OZ5wva6dNNEiK51+5u3bqJcuXKCVNTU6GnpydKly4tevToISIiItTSHjlyRHh4eAhjY2NhbW0t+vXrJ06fPp2mV8X4+HjRr18/YW1tLRQKhQBEZGSkEEKI2NhY0a9fP1GyZElhYmIifHx8RFRUVLo92D569ChNzHfv3hWdOnUSxYoVE2ZmZqJVq1biwoULGnuRnDNnjnB2dha6urpqcabuCVuI5J7JR48eLRwdHYWenp6wtbUVX3zxhXj69KlaOkdHR9G2bds0cb2vh9nUUvdqnuLQoUOibdu2wtLSUujp6YlSpUqJtm3bqqVLb/+k7lH53diqVKmSZt0rVqwQX331lbC2thYGBgbCy8tLhIWFpVn+7NmzonPnzqJEiRJCT09P2NjYiCZNmohFixap0qT0an7y5Mk0yz99+lT07dtXlChRQhgbG4sGDRqI0NBQjftszZo1omLFikJPTy/NcbF8+XJRqVIlYWhoKCpXrizWrVuXbq/mP/74Y5o4Mrst3377rXB3dxfFihUTBgYGwsXFRQwfPlz8888/GvOUpBSazsGEhATx008/iWrVqglDQ0NhamoqKlasKAYMGCCuXbumSpfetQUQgwcPVpum6ThPWfe5c+eEt7e3MDIyEpaWluKLL74QL168SJPvkiVLRN26dYWJiYkwMjISZcqUET179lS7BqS+drwrv3wnZHZbNPnQfC9fviy6du0qypQpI4yMjISFhYWoU6eOWLZsmVo+mr6fIiIiRPPmzYWhoaGwtLQUffv2FVu3bk3T829SUpKYMWOGcHFxEYaGhsLd3V0cOHBA4/Xzhx9+EE5OTsLAwEBUqlRJ/Pbbb2l6ONYUz8yZM4Wnp6ewsrIS+vr6onTp0qJv374iKioqw/0nSflJeHi46NWrlyhdurTQ19cXJiYmokaNGmL8+PHi4cOHqnSZvXZpOneEEOKPP/4QtWvXVl3Pa9SoobZcZs9ZTb2a58T9kqa4lUqlmD59uihfvrzQ09MTVlZW4rPPPhN37txRS5feNV/TfbMm4eHhon79+sLY2FgAqpjT69U8M/esKTR9Rz569Eh89dVXwtnZWejp6QlLS0tRq1YtMXbsWI3fe5IQCiHeqesqSVKuCwkJoXHjxmzYsCHDztwkSfp4BAQEsHHjRl68eKHtUCRJkiRJyodkG29JkiRJkiRJkiRJykWy4C1JkiRJkiRJkiRJuUhWNZckSZIkSZIkSZKkXCSfeEuSJEmSJEmSJElSLpIFb0mSpAIkKCiI2rVrY2ZmRokSJejQoUOa8UsDAgJQKBRqr3r16mkpYkmSJEmSpIJPFrwlSZIKkEOHDjF48GCOHTvGvn37SExMpEWLFrx8+VItXatWrYiOjla9du7cqaWIJUmSsmbhwoVUrVoVc3NzzM3N8fDwYNeuXar5qX9YTHn9+OOP6ea5bNkyjcu8efMmLzZJkqRCoIi2A8ivkpKSuH//PmZmZigUCm2HI0lSLhNC8Pz5c+zs7NDR+Xh/k9y9e7fa+6VLl1KiRAlOnTpFw4YNVdMNDAywsbHJ1jrk9VGSCpf8dn20t7fnhx9+oGzZsgAsX74cX19fzpw5Q5UqVYiOjlZLv2vXLvr27UunTp0yzNfc3DxNDSFDQ8MsxSavj5JUuGTl+igL3um4f/8+Dg4O2g5DkqQ8dufOHezt7bUdRo6JjY0FwNLSUm16SEgIJUqUoGjRojRq1IipU6dSokSJTOUpr4+SVDjll+ujj4+P2vupU6eycOFCjh07RpUqVdL8qLh161YaN26Mi4tLhvkqFIps/yCZQl4fJalwysz1URa802FmZgYk70Rzc3MtRyNJUm6Li4vDwcFBde4XBEIIRowYQYMGDXB1dVVNb926NZ988gmOjo5ERkYybtw4mjRpwqlTpzAwMEiTT3x8PPHx8Wr5grw+SlJhkZ+vj0qlkg0bNvDy5Us8PDzSzH/w4AE7duxg+fLl783rxYsXODo6olQqqV69OpMnT6ZGjRpZikfeP0pS4ZKV66MseKcjpXpQSvshSZIKh4JUNXDIkCGcO3eOw4cPq03v0qWL6n9XV1fc3d1xdHRkx44d+Pn5pcknKCiISZMmpZkur4+SVLjkp+vj+fPn8fDw4M2bN5iamrJ582YqV66cJt3y5csxMzPTeG17V8WKFVm2bBlubm7ExcUxd+5c6tevz9mzZylXrly6y6X+YfL58+eAvD5KUmGTmeuj9hvqSJIkSTnuyy+/ZNu2bRw8ePC9VZ9sbW1xdHTk2rVrGucHBgYSGxuret25cyc3QpYkScq0ChUqEB4ezrFjx/jiiy/o1asXERERadItWbKE7t27v7etdr169fjss8+oVq0aXl5erF+/nvLlyzN//vwMlwsKCsLCwkL1ktXMJUlKjyx4S5IkFSBCCIYMGUJwcDAHDhzA2dn5vcs8fvyYO3fuYGtrq3G+gYGB6umNfIojSVJ+oK+vT9myZXF3dycoKIhq1aoxd+5ctTShoaFcuXKFfv36ZTl/HR0dateune4PkinkD5OSJGWWrGouSZJUgAwePJjVq1ezdetWzMzMiImJAcDCwgIjIyNevHjBxIkT6dSpE7a2tkRFRTFmzBisrKzo2LGjlqOXJEnKHiGEWpVvgMWLF1OrVi2qVauWrfzCw8Nxc3PLMJ2BgYHGvjEkSZJSkwVvKV9TKpUkJCRoOwypANDT00NXV1fbYeS6hQsXAuDt7a02fenSpQQEBKCrq8v58+f5448/ePbsGba2tjRu3Jh169bly46TJEmSUhszZgytW7fGwcGB58+fs3btWkJCQtSGU4yLi2PDhg3MnDlTYx49e/akVKlSBAUFATBp0iTq1atHuXLliIuLY968eYSHh/Pzzz/nyTYVFklJSbx9+1bbYUhSpuXk/aMseEv5khCCmJgYnj17pu1QpAKkaNGi2NjY5KsOgnJaSo/j6TEyMmLPnj15FE3yj2ehoaFER0dja2uLl5dXofgBRJKk3PPgwQN69OhBdHQ0FhYWVK1ald27d9O8eXNVmrVr1yKEoGvXrhrzuH37ttqYu8+ePePzzz8nJiYGCwsLatSowV9//UWdOnVybTsK2/Xx7du3REZGkpSUpO1QJClLcur+USHed5dWSMXFxWFhYUFsbKxsz6gF0dHRPHv2jBIlSmBsbFygC0pS7hNC8OrVKx4+fEjRokU1tmWW53zmZXZfBQcHM3ToSO7ejVJNs7d3Yu7cme/tYViSpPxDXh8zT14fNRNCcPv2bRISErCzs1P70UOS8qucvn+UT7ylfEepVKoK3cWLF9d2OFIBYWRkBMDDhw8pUaJEgX6qkB8EBwfj7++PEO2ANYArcIF796bh7+/Pxo0bC+TNpSRJ0vsUxutjYmIir169ws7ODmNjY22HI0mZlpP3j/LnppwgBMTEQFyctiMpEFLadMsLs5TTUo4p2W9A7lIqlQwdOvLfm8otQD3AFKiHEFuAdgwbNgqlUqnFKCVJkvJeYb0+pmyPvr6+liORpKzLqftHWfDOCR06gK0tbNmi7UgKFFm9XMpp8pjKG6Ghof9WnxxD2q8ZHYQI5M6dSEJDQ/M+OEmSJC0q7NdH+T0sfYxy6rjNdwXv58+fM2zYMBwdHTEyMsLT05OTJ0+q5gshmDhxInZ2dhgZGeHt7c3FixfV8oiPj+fLL7/EysoKExMT2rdvz927d3Mv6NKlk/+eP59765AkSfpIREdH//ufazopXFOlkyRJKhzk9VGSCq98V/Du168f+/btY8WKFZw/f54WLVrQrFkz7t27B8CMGTOYNWsW//d//8fJkyexsbGhefPmPH/+XJXHsGHD2Lx5M2vXruXw4cO8ePGCdu3a5V61napVk/+eO5c7+UuSJH1E/ut85EI6KS6kSidJklQ4yOujNHHiRKpXr55hmqioKBQKBeHh4XkSk7YoFAq2FKIaw/mq4P369Ws2bdrEjBkzaNiwIWXLlmXixIk4OzuzcOFChBDMmTOHsWPH4ufnh6urK8uXL+fVq1esXr0agNjYWBYvXszMmTNp1qwZNWrUYOXKlZw/f579+/fnTuBubsl/5RNvCbhz5w59+/bFzs4OfX19HB0dGTp0KI8fP86T9Xt7ezNs2LA8WZckaeLl5YW9vRMKxTQg9bAxSSgUQTg4OOPl5aWN8CRJkrRGXh8/jFKpJCQkhDVr1hASElIg2sIHBATQoUMHtWkODg5ER0fj6ppezYiCITo6mtatW2s7jDyTrwreiYmJKJVKDA0N1aYbGRlx+PBhIiMjiYmJoUWLFqp5BgYGNGrUiCNHjgBw6tQpEhIS1NLY2dnh6uqqSpPjUk6K6Gh49Ch31iF9FG7evIm7uztXr15lzZo1XL9+nUWLFvHnn3/i4eHBkydPcm3dssMwKb/Q1dVl7tyZwHYUig7AUeA5cPTf99uZM+cn2bO8JEmFjrw+Zl9wcDBOTmVp3Lgx3bp1o3Hjxjg5lSU4OFjboeU4XV1dbGxsKFIk+wNQKZXKfD9muo2NDQYGBtoOI8/kq4K3mZkZHh4eTJ48mfv376NUKlm5ciXHjx8nOjqamJgYAEqWLKm2XMmSJVXzYmJi0NfXp1ixYumm0SQ+Pp64uDi1V6aZmoKLS/L/8ql3oTZ48GD09fXZu3cvjRo1onTp0rRu3Zr9+/dz7949xo4dC2iuWlO0aFGWLVumej969GjKly+PsbExLi4ujBs3Tq1wnVJVacmSJbi4uGBgYECvXr04dOgQc+fORaFQoFAoiIqKIiAgQPX+3VdISEge7BWpMPLz82Pjxo2UKnUe8ATMAU/s7S8UyKFyJEmSMkteH7MuZQi2u3fdePfHinv33PD398+1wre3tzdffvklw4YNo1ixYpQsWZJff/2Vly9f0rt3b8zMzChTpgy7du0CYNmyZRQtWlQtjy1btqTbOdfEiRNZvnw5W7duVbs3S13VPCQkBIVCwY4dO6hWrRqGhobUrVuX8++UO1LWvX37dipXroyBgQG3bt3i6dOn9OzZk2LFimFsbEzr1q25du2aWhx///03jRo1wtjYmGLFitGyZUuePn0KJPevNWPGDFxcXDAyMqJatWps3LhRtezTp0/p3r071tbWGBkZUa5cOZYuXQrA27dvGTJkCLa2thgaGuLk5ERQUJBq2Xfvh1O2OTg4mMaNG2NsbEy1atU4evSoWqy//fYbDg4OGBsb07FjR2bNmpVmn+dX+argDbBixQqEEJQqVQoDAwPmzZtHt27d1H75S33wCiHe29vc+9IEBQVhYWGhejk4OGQt8JR23rLgneOEELx8+VIrLyFEpuN88uQJe/bsYdCgQaox/1LY2NjQvXt31q1bl+k8zczMWLZsGREREcydO5fffvuN2bNnq6W5fv0669evZ9OmTYSHhzNv3jw8PDzo378/0dHRREdH4+DgwNy5c1Xvo6OjGTp0KCVKlKBixYqZ3j5Jyio/Pz+ioq5z8OBBVq9ezcGDB4mMvCZvKiVJiwpiVd2Pkbw+Zp62h2Bbvnw5VlZWnDhxgi+//JIvvviCTz75BE9PT06fPk3Lli3p0aMHr169ynLeo0aNonPnzrRq1Up1j+bp6Zlu+q+//pqffvqJkydPUqJECdq3b6/2UObVq1cEBQXx+++/c/HiRUqUKEFAQABhYWFs27aNo0ePIoSgTZs2quXCw8Np2rQpVapU4ejRoxw+fBgfHx/V/vzuu+9YunQpCxcu5OLFiwwfPpzPPvuMQ4cOATBu3DgiIiLYtWsXly5dYuHChVhZWQEwb948tm3bxvr167ly5QorV67Eyckpw30yduxYRo0aRXh4OOXLl6dr164kJiYCyT8QDBw4kKFDhxIeHk7z5s2ZOnVqlve71oh86sWLF+L+/ftCCCE6d+4s2rRpI27cuCEAcfr0abW07du3Fz179hRCCPHnn38KQDx58kQtTdWqVcX48ePTXd+bN29EbGys6nXnzh0BiNjY2MwFPH68ECBEnz5Z2EpJk9evX4uIiAjx+vVrIUTysQBo5fXixYtMx33s2DEBiM2bN2ucP2vWLAGIBw8eaExnYWEhli5dmm7+M2bMELVq1VK9nzBhgtDT0xMPHz5US9eoUSMxdOjQdPPZtGmTMDAwEKGhoe/bpAIn9bH1rtjY2Kyd84WY3FeS9HHatGmTsLd3Uvues7d3Eps2bcpwOXnOZ57cV5pl9P37PgcPHvz3eD0qQGh4HRGAOHjwYI7H3ahRI9GgQQPV+8TERGFiYiJ69OihmhYdHS0AcfToUbF06VJhYWGhlsfmzZvFu0WuCRMmiGrVqqne9+rVS/j6+qotExkZKQBx5swZIcR/+2Dt2rWqNI8fPxZGRkZi3bp1Qgghli5dKgARHh6uSnP16lUBiL///ls17Z9//hFGRkZi/fr1QgghunbtKurXr69x+1+8eCEMDQ3FkSNH1Kb37dtXdO3aVQghhI+Pj+jdu7fG5b/88kvRpEkTkZSUpHH+u/fDKdv8+++/q+ZfvHhRAOLSpUtCCCG6dOki2rZtq5ZH9+7d0+zznJZT94/57ol3ChMTE2xtbXn69Cl79uzB19cXZ2dnbGxs2Ldvnyrd27dvOXTokOrXoVq1aqGnp6eWJjo6mgsXLmT4C5KBgQHm5uZqryxJ6WBN9mwupUP8+6RbX18/U+k3btxIgwYNsLGxwdTUlHHjxnH79m21NI6OjlhbW2c6hjNnztCzZ09+/vlnGjRokPngJUmSpI+atqrqStKH0vYQbFVTarWS3Pa6ePHiuKXc9/NfE9iHDx/myvrf5eHhofrf0tKSChUqcOnSJdU0fX19tXgvXbpEkSJFqFu3rmpa8eLF1ZZLeeKtSUREBG/evKF58+aYmpqqXn/88Qc3btwA4IsvvmDt2rVUr16db775Rq1PrYCAAMLDw6lQoQJfffUVe/fufe82vht/Su/+Kfv2ypUr1KlTRy196vf5WfZb7OeSPXv2IISgQoUKXL9+na+//poKFSrQu3dvFAoFw4YNY9q0aZQrV45y5coxbdo0jI2N6datGwAWFhb07duXkSNHUrx4cSwtLRk1ahRubm40a9Ys9wJPOUguXgSlEmSnGDnG2NiYFy9eaG3dmVW2bFkUCgURERFpeqcEuHz5MtbW1hQtWhSFQpGmyvm7VYWOHTvGp59+yqRJk2jZsiUWFhasXbuWmTNnqi1jYmKS6fhiYmJo3749ffv2pW/fvpleTpIkSfq4pa2qm/LcJbmqrkLRgWHDRuHr6ys79ZLyHfUh2OppSJG7Q7Dp6empvVcoFGrTUpqyJiUloaOjk+H9XW54tymtkZGR2vvUsbw7PSVd6uaR70rpnG3Hjh2UKlVKbV5Kp2itW7fm1q1b7Nixg/3799O0aVMGDx7MTz/9RM2aNYmMjGTXrl3s37+fzp0706xZM7U24qmlt29Tx/2+bcyP8l3BOzY2lsDAQO7evYulpSWdOnVi6tSpqg/hm2++4fXr1wwaNIinT59St25d9u7di5mZmSqP2bNnU6RIETp37szr169p2rQpy5Yty90vkzJlwMgIXr+GGzegfPncW1cho1AoslTA1JbixYvTvHlzFixYwPDhw9UuZDExMaxatYrBgwcDYG1trfbL7LVr19TaBv399984OjqqOmMDuHXrVqbi0NfXT9PO6c2bN/j6+lKxYkVmzZqVre2TJEmSPk6hoaHcvRsFrCFt9z46CBHInTuehIaG4u3tnefxSVJGUoZgu3dv2r9tut89hpOHYLO3zx9DsFlbW/P8+XNevnypund931jcmu7b0nPs2DFKly4NJHdqdvXq1Qz766lcuTKJiYkcP35cVfP38ePHXL16lUqVKgHJT5j//PNPJk2apHF5AwMDbt++TaNGjdJdj7W1NQEBAQQEBODl5aVqiw5gbm5Oly5d6NKlC/7+/rRq1YonT55gaWmZqW1+V8WKFTlx4oTatLCwsCznoy35ruDduXNnOnfunO58hULBxIkTmThxYrppDA0NmT9/PvPnz8+FCNOhqwtVqkBYWHIHa7LgXSj93//9H56enrRs2ZIpU6bg7OzMxYsX+frrrylfvjzjx48HoEmTJvzf//0f9erVIykpidGjR6v9wle2bFlu377N2rVrqV27Njt27GDz5s2ZisHJyYnjx48TFRWFqakplpaWDBgwgDt37vDnn3/y6J0h7ywtLTNd9V2SJEn6OGm7qq4kfYiUIdj8/f1RKDogRCDJx+wFFIogkodg25gvamvUrVsXY2NjxowZw5dffsmJEyfURqzRxMnJiT179nDlyhWKFy+OhYVFumm///57ihcvTsmSJRk7dixWVlYaa1mmKFeuHL6+vvTv359ffvkFMzMzvv32W0qVKoWvry8AgYGBuLm5MWjQIAYOHIi+vj4HDx7kk08+wcrKilGjRjF8+HCSkpJo0KABcXFxHDlyBFNTU3r16sX48eOpVasWVapUIT4+nu3bt6sK9bNnz8bW1pbq1aujo6PDhg0bsLGxyXYv5F9++SUNGzZk1qxZ+Pj4cODAAXbt2vXeTrbzi3zbxvujlFLdXLbzLrTKlSvHyZMncXFxoXPnzjg6OtK6dWvKly/P33//jampKQAzZ87EwcGBhg0b0q1bN0aNGqVWrd3X15fhw4czZMgQqlevzpEjRxg3blymYhg1ahS6urpUrlwZa2trbt++zaFDh4iOjqZy5crY2tqqXrk2tr0kSZKUb6hX1dUkd6vqStKH+liGYLO0tGTlypXs3LkTNzc31qxZk+HDQoD+/ftToUIF3N3dsba25u+//0437Q8//MDQoUOpVasW0dHRbNu27b0PUJYuXUqtWrVo164dHh4eCCHYuXOn6oFP+fLl2bt3L2fPnqVOnTp4eHiwdetW1RjikydPZvz48QQFBVGpUiVatmzJ//73P5ydnYHkJ/aBgYFUrVqVhg0boqury9q1awEwNTVl+vTpuLu7U7t2baKioti5cyc6OtkrgtavX59FixYxa9YsqlWrxu7duxk+fDiGhobZyi+vKcTHVDE+D8XFxWFhYUFsbGzmO1qbMweGD4cOHSCTTyeltN68eUNkZCTOzs4fzYmUkQkTJjBr1iz27t2r1imGlPcyOraydc4XUnJfSdLHRalU4uRUlnv33NKpqtsBe/sLREZe0/jUUJ7zmSf3lWY5dW+nVCoJDQ0lOjoaW1tbvLy88sWT7twWEhJC48aNefr06UczZnVe6d+/P5cvXyY0NDTX1pFT94/5rqr5R02O5S1pMGnSJFX177p162b7Vz5JkiRJyo6PqaquJGVEV1dX9kNQyP300080b94cExMTdu3axfLly1mwYIG2w8oUWfDOSSlDC9y4AS9ewL/ViiWpd+/e2g5BkiRJKsRSquoOHTqSu3f/G17V3t6ZOXPyT1VdSZKkjJw4cYIZM2bw/PlzXFxcmDdvHv369dN2WJkiC945ydoabGwgJiZ5WLF3xsyTJEmS/lNYqwtKUl7RdI75+fnh6+srzz1J+sh4e3t/VMNm5ab169drO4Rsk3Vec5rsYE2SJClDwcHBODmVpXHjxnTr1o3GjRvj5FSW4OBgbYcmSQVCRudYSlXdrl274u3t/VEWuhcuXEjVqlUxNzfH3NwcDw8Pdu3apZofEBCAQqFQe9Wrp2n8Z3WbNm1SDZ9UuXLlTI8mIkmSlBmy4J3TUqqby4K3JElSGsHBwfj7+3P3rhtwFHgOHOXePTf8/f1l4VuSPlBhOMfs7e354YcfCAsLIywsjCZNmuDr68vFixdVaVq1akV0dLTqtXPnzgzzPHr0KF26dKFHjx6cPXuWHj160LlzZ44fP57bmyNJUiEhC945TXawJkmSpJFSqWTo0JEI0Q7YAtQDTIF6//a03I5hw0ahVCq1GKUkfbwKyznm4+NDmzZtKF++POXLl2fq1KmYmppy7NgxVRoDAwNsbGxUL0tLywzznDNnDs2bNycwMJCKFSsSGBhI06ZNmTNnTi5vjSRJhYUseOe0d594y7YYkiRJKqGhody9GwWMIe3Xjw5CBHLnTmSuDgkiSQVZYTzHlEola9eu5eXLl2pDdoaEhFCiRAnKly9P//79efjwYYb5HD16lBYtWqhNa9myJUeOHMlwufj4eOLi4tRekiRJmsiCd06rVAl0deHpU7hzR9vRSJIk5RvR0dH//ueaTgrXVOkkScqKwnSOnT9/HlNTUwwMDBg4cCCbN2+mcuXKALRu3ZpVq1Zx4MABZs6cycmTJ2nSpAnx8fHp5hcTE0PJkiXVppUsWZKYmJgM4wgKCsLCwkL1cnBw+PCNkySpQJIF75xmaAiu/37hnTql3VgkSZLyEVtb23//u5BOigup0kmSlBWF6RyrUKEC4eHhHDt2jC+++IJevXoREREBQJcuXWjbti2urq74+Piwa9curl69yo4dOzLMU6FQqL0XQqSZllpgYCCxsbGq1x350EWSpHTIgnduqF07+e/Jk9qNQ8pXQkJCUCgUPHv2LEfzdXJyytE2aDmdnySl8PLywt7eCYViGpCUam4SCkUQDg7OeHl5aSM8SfroFaZzTF9fn7Jly+Lu7k5QUBDVqlVj7ty5GtPa2tri6OjItWvX0s3PxsYmzdPthw8fpnkKnpqBgYGqd/WUl5S71q9fj4OtLRs2bNB2KFkWFRWFQqEgPDxc26EUKhMnTqR69eraDkMWvHOFu3vy37Aw7cYh5bl3hzDR09PDxcWFUaNG8fLly1xb58mTJ/n8889zLX9Jyim6urrMnTsT2I5C0YF3e1xOfr+dOXN++iiHN5Kk/KAwn2NCiHSrkj9+/Jg7d+5k+KTfw8ODffv2qU3bu3cvnp6eORqn9GEePnzIoAEDeBwTw6DPP39v2/0PlXJfN3DgwDTzBg0ahEKhICAgINP5OTg4EB0djatres1BMufdofLMzMxwd3cvECMWpLZ9+3a8vb0xMzPD2NiY2rVrs2zZMm2HlW2y4J0bUp54h4XJDtYKoZQhTG7evMmUKVNYsGABo0aNyrX1WVtbY2xsnGv5S1JO8vPzY+PGjZQqdR7wBMwBT+ztL7Bx40b8/Py0HKEkfdwKwzk2ZswYQkNDiYqK4vz584wdO5aQkBC6d+/OixcvGDVqFEePHiUqKoqQkBB8fHywsrKiY8eOqjx69uxJYGCg6v3QoUPZu3cv06dP5/Lly0yfPp39+/czbNgwLWyhpIkQgkEDB6J4/pyTAM+fM/iLL3J9vQ4ODqxdu5bXr1+rpr1584Y1a9ZQunTpLOWlq6uLjY0NRYoU+eC4li5dSnR0NCdPnqRatWp88sknHD16VGPat2/ffvD68tr8+fPx9fXF09OT48ePc+7cOT799FMGDhyYq/fVuUkWvHODqyvo6yd3sHbzprajkfJYyhAmDg4OdOvWje7du7Nly5Y06R4/fkzXrl2xt7fH2NgYNzc31qxZo5bm+fPndO/eHRMTE2xtbZk9ezbe3t5qNwKpq4bfvn0bX19fTE1NMTc3p3Pnzjx48EAt323btuHu7o6hoSFWVlYZ3ojNmjULNzc3TExMcHBwYNCgQbx48UI1/9atW/j4+FCsWDFMTEyoUqWK2nipERERtGnTBlNTU0qWLEmPHj34559/Mrk3C66EhATu3LnDlStXePLkibbDyVN+fn5ERV3n4MGDrF69moMHDxIZeQ0/Pz+USiUhISGsWbOGkJCQj37YI0nShozOsYLgwYMH9OjRgwoVKtC0aVOOHz/O7t27ad68Obq6upw/fx5fX1/Kly9Pr169KF++PEePHsXMzEyVx+3bt9U6mfP09GTt2rUsXbqUqlWrsmzZMtatW0fdunW1sYmSBuvXr2fT5s0sUCqpAvysVLIxOJj169fn6npr1qxJ6dKl1Z4oBwcH4+DgQI0aNdTS7t69mwYNGlC0aFGKFy9Ou3btuHHjhmp+6qrmKc0Q//zzT9zd3TE2NsbT05MrV668N66iRYtiY2NDxYoVWbRoEYaGhmzbtg1IvjecMmUKAQEBWFhY0L9/fwA2bdpElSpVMDAwwMnJiZkzZ6rlGR8fzzfffIODgwMGBgaUK1eOxYsXq+a/755u48aNuLm5YWRkRPHixWnWrJmq1mdISAh16tTBxMSEokWLUr9+fW7duqVx2+7cucPIkSMZNmwY06ZNo3LlypQtW5aRI0fy448/MnPmTI4fP56tffjXX3+hp6eXpmnJyJEjadiw4Xv3+4eQBe/coK8PKe0IZDvvDycEvHypnVcO1FgwMjIiISEhzfQ3b95Qq1Yttm/fzoULF/j888/p0aOH6kICMGLECP7++2+2bdvGvn37CA0N5fTp0xnsKkGHDh148uQJhw4dYt++fdy4cYMuXbqo0uzYsQM/Pz/atm3LmTNnVBeq9Ojo6DBv3jwuXLjA8uXLOXDgAN98841q/uDBg4mPj+evv/7i/PnzTJ8+HVNTUyC559xGjRpRvXp1wsLC2L17Nw8ePKBz585Z2ocFxYsXL/jll1/w9vbGwsICJycnKleujLW1NY6OjvTv35+TheSaoauri7e3N127dsXb2xtdXV2Cg4NxcipL48aN6datG40bN8bJqWyBrD4nSblN0zlWUCxevJioqCji4+N5+PAh+/fvp3nz5kDyd+6ePXt4+PAhb9++5datWyxbtixNb+MhISFpqqz6+/tz+fJl3r59y6VLlwrMDxUFwcOHDxk8cCD+CgWf/DvtE6CTQsHgAQNyvcp57969Wbp0qer9kiVL6NOnT5p0L1++ZMSIEZw8eZI///wTHR0dOnbsSFJS6j4X1I0dO5aZM2cSFhZGkSJFNOadET09PYoUKaJ2v/njjz/i6urKqVOnGDduHKdOnaJz5858+umnnD9/nokTJzJu3Di186Bnz56sXbuWefPmcenSJRYtWpTpe7ro6Gi6du1Knz59uHTpEiEhIfj5+SGEIDExkQ4dOtCoUSPOnTvH0aNH+fzzz9PtvHDjxo0kJCRofLI9YMAATE1N0zysyuw+bNiwIS4uLqxYsUI1LTExkZUrV9K7d+/M7fDsEpJGsbGxAhCxsbHZy2DQICFAiJEjczawQuD169ciIiJCvH79OnnCixfJ+1IbrxcvshR7r169hK+vr+r98ePHRfHixUXnzp3FwYMHBSCePn2a7vJt2rQRI/89ZuLi4oSenp7YsGGDav6zZ8+EsbGxGDp0qGqao6OjmD17thBCiL179wpdXV1x+/Zt1fyLFy8KQJw4cUIIIYSHh4fo3r17ujG8m58m69evF8WLF1e9d3NzExMnTtSYdty4caJFixZq0+7cuSMAceXKlXTXkVvSHFvv+OBz/j1mzZolihcvLmrVqiUmTZokdu3aJc6dOyeuXbsmjh8/LhYvXiwCAgKEhYWFaNmypbh69WquxJETcmNfbdq0SSgUCgE+Ao4KeC7gqFAofIRCoRCbNm3KsXVJkpQ1uX19LEjkvtIso+/f90lKShKdOnYUVrq64kGq+7QHIIrr6gp/P79ciPq/+7pHjx4JAwMDERkZKaKiooShoaF49OiR8PX1Fb169Up3+YcPHwpAnD9/XgghRGRkpADEmTNnhBBCdW+4f/9+1TI7duwQQIb7ChCbN28WQgjx5s0bMXnyZAGInTt3CiGS7+U6dOigtky3bt1E8+bN1aZ9/fXXonLlykIIIa5cuSIAsW/fPo3rfN893alTpwQgoqKi0iz7+PFjAYiQkJB0t+ldAwcOFBYWFunOr1q1qmjdurUQInP7cMKECaJatWqq+dOnTxeVKlVSvd+yZYswNTUVL9K578+p+0f5xDu3vNvOWypUtm/fjqmpKYaGhnh4eNCwYUPmz5+fJp1SqWTq1KlUrVqV4sWLY2pqyt69e7l9+zYAN2/eJCEhgTp16qiWsbCwoEKFCumu+9KlSzg4OKj9sl+5cmWKFi3KpUuXAAgPD6dp06aZ3p6DBw/SvHlzSpUqhZmZGT179uTx48eqqkNfffUVU6ZMoX79+kyYMIFz586plj116hQHDx7E1NRU9apYsSKAWtWrwuDIkSMcPHiQsLAwxo8fT6tWrXBzc6Ns2bLUqVOHPn36sHTpUh48eED79u05dOiQtkPOM0qlkqFDRyJEO2ALUA8wBeohxBagHcOGjZLVziVJkgqhixcvsmnzZgYplZRINa8EMPjfKucXL17MtRisrKxo27Yty5cvZ+nSpbRt2xYrK6s06W7cuEG3bt1wcXHB3NwcZ2dnANW9XXqqVq2q+j+lE8D3PcXv2rUrpqamGBsbM2vWLH766Sdat26tmp+6NuOlS5eoX7++2rT69etz7do1lEol4eHh6Orq0qhRI43re989XbVq1WjatClubm588skn/Pbbbzx9+hQAS0tLAgICaNmyJT4+PsydO1etqUdWCQ1D/WVlHwYEBHD9+nWOHTsGJNdg6Ny5MyYmJtmOKTM+vGW/pFnKwX7qFCiVUICqeOU5Y2N4p01xnq87ixo3bszChQvR09PDzs4OPT09ANX4oilmzpzJ7NmzmTNnjqoN9bBhw1QdYIh/q7lrGlc0PZouRKmnGxkZZXpbbt26RZs2bRg4cCCTJ0/G0tKSw4cP07dvX1V1pn79+tGyZUt27NjB3r17CQoKYubMmXz55ZckJSXh4+PD9OnT0+RdEMaRzYrMDntiYGDAoEGDcjma/CU0NJS7d6OANaRtAaWDEIHcueNJaGgo3t7eeR6fJEmSpD1VqlShU8eOLNi2jcGpCt8PgZ91dfH39aVKlSq5GkefPn0YMmQIAD///LPGND4+Pjg4OPDbb79hZ2dHUlISrq6u7+3cLOVeEf6773tf9fTZs2fTrFkzzM3NKVEi9U8SpClEarpHfPee8n33h++7p9PV1WXfvn0cOXKEvXv3Mn/+fMaOHcvx48dxdnZm6dKlfPXVV+zevZt169bx3XffsW/fPurVq5cmv/LlyxMbG8v9+/exs7NTm/f27Vtu3rxJkyZN1KZnZR+WKFECHx8fli5diouLCzt37iQkJCTD7c8J8ol3bqlU6b8C49Wr2o7m46ZQgImJdl7ptD3JiImJCWXLlsXR0VHtIpBaaGgovr6+fPbZZ1SrVg0XFxe1MUbLlCmDnp4eJ06cUE2Li4vLcBzSypUrc/v2be7cuaOaFhERQWxsLJUqVQKSfxH8888/M7UtYWFhJCYmMnPmTOrVq0f58uW5f/9+mnQODg4MHDiQ4OBgRo4cyW+//QYkd0hy8eJFnJycKFu2rNort39VlD4e//3qnd7wKq6p0kmSJEmFhUKhYMGiRQgzMwa/c18mgEEKBQpzc35euDDX42jVqhVv377l7du3tGzZMs38x48fc+nSJb777juaNm1KpUqVVE98c4ONjQ1ly5bVWOjWpHLlyhw+fFht2pEjRyhfvjy6urq4ubmRlJSUbo27zNzTKRQK6tevz6RJkzhz5gz6+vps3rxZlUeNGjUIDAzkyJEjuLq6snr1ao3r6tSpE0WKFEnT+RvAokWLePnyJV27ds3UdqenX79+rF27ll9++YUyZcqkqQ2QG2TBO7fo6kLNmsn/F5LOkqSsKVu2rOqXwUuXLjFgwAC1HhbNzMzo1asXX3/9NQcPHuTixYv06dMHHR2ddDujaNasGVWrVqV79+6cPn2aEydO0LNnTxo1aqSqcjRhwgTWrFnDhAkTuHTpEufPn2fGjBka8ytTpgyJiYnMnz+fmzdvsmLFChYtWqSWZtiwYezZs4fIyEhOnz7NgQMHVIX8wYMH8+TJE7p27cqJEye4efMme/fupU+fPoWy2vCBAweoXLkycXFxaebFxsZSpUoVQkNDtRCZdv1X++FCOikupEonSZIkFSYlSpTg50WL2CgEKfXHNgCbhODnRYsyXfj8ELq6uly6dIlLly5p7KywWLFiFC9enF9//ZXr169z4MABRowYketxZdbIkSP5888/mTx5MlevXmX58uX83//9n6oDMycnJ3r16kWfPn3YsmULkZGRhISEqHqNf9893fHjx5k2bRphYWHcvn2b4OBgHj16RKVKlYiMjCQwMJCjR49y69Yt9u7dy9WrV1X3i6mVLl2aGTNmMGfOHMaOHcvly5e5ceMGs2bN4ptvvmHkyJEfPOJAy5YtsbCwYMqUKbnfqdq/ZME7N6VUN5ftvCUNxo0bR82aNWnZsiXe3t7Y2NjQoUMHtTSzZs3Cw8ODdu3a0axZM+rXr0+lSpUwNDTUmKdCoWDLli0UK1aMhg0b0qxZM1xcXFi3bp0qjbe3Nxs2bGDbtm1Ur16dJk2aqPWk/q7q1asza9Yspk+fjqurK6tWrSIoKEgtjVKpZPDgwVSqVIlWrVpRoUIFFixYAICdnR1///03SqWSli1b4urqytChQ7GwsEBHp/BdfubMmUP//v0xNzdPM8/CwoIBAwYwa9YsLUSmXV5eXtjbO6FQTANSVwtLQqEIwsHBGS8vL22EJ0mSJOUDnTt3plPHjgzS1eUiMFhXF38/vzwdKcXc3FzjdzgkjwKzdu1aTp06haurK8OHD+fHH3/Ms9jep2bNmqxfv561a9fi6urK+PHj+f777wkICFClWbhwIf7+/gwaNIiKFSvSv39/VZ8+77unMzc356+//qJNmzaUL1+e7777jpkzZ9K6dWuMjY25fPkynTp1onz58nz++ecMGTKEAQMGpBvv8OHD2bx5M6Ghobi7u6uekC9cuJCffvrpg/eHjo4OAQEBKJVKevbs+cH5ZYZCZNRgtBCLi4vDwsKC2NjYdE+w91q9Grp3h3r1IJ0B7aW03rx5Q2RkJM7OzukWMAurly9fUqpUKWbOnEnfvn21Hc5HJ6NjK0fO+fdwdHRk9+7d6f7Ce/nyZVq0aPHeTli0LTf2VXBwMP7+/kA7hAgkuXr5BRSKIGA7GzdulEP7SJKW5MX1saCQ+0qznLq3e/jwIZUrVODVs2eYFCvGxcuX8+Rpt1Qw9e/fnwcPHqjGP09PTt0/5rtHTomJiXz33Xc4OztjZGSEi4sL33//vVrjeIVCofH17q9K3t7eaeZ/+umnebsxKU+8w8NBwzjOkvQ+Z86cYc2aNdy4cYPTp0/TvXt3AHx9fbUcmZQdDx48yLDdf5EiRXj06FEeRpR/+Pn5sXHjRkqVOg94AuaAJ/b2F2ShW5IkSQKSq5wv+OUXitvYsOCXX2ShW8qW2NhY9u/fz6pVq/jyyy/zbL35rlfz6dOns2jRIpYvX06VKlUICwujd+/eWFhYMHToUCBtBzu7du2ib9++dOrUSW16//79+f7771Xvs9Kbc44oWxYsLCA2Fi5ehOrV83b9UoHw008/ceXKFfT19alVqxahoaEah7CQ8r9SpUpx/vx5ypYtq3H+uXPnCnU7Zj8/P3x9fQkNDSU6OhpbW1u8vLw0tqWTJEmSCqfOnTvnafVyqeDx9fXlxIkTDBgwgObNm+fZevNdwfvo0aP4+vrStm1bILmh/5o1awh7p520jY2N2jJbt26lcePGuLi4qE03NjZOkzZP6ehArVpw4EByO29Z8JayqEaNGpw6dUrbYUg5pE2bNowfP57WrVunqar0+vVrJkyYQLt27T5oHUFBQQQHB3P58mWMjIzw9PRk+vTpauO/CyGYNGkSv/76K0+fPqVu3br8/PPPuT4US2bo6urKIcMkKQuUSqX8sUqSJCkL8mLoME3yXVXzBg0a8Oeff3L13yG4zp49y+HDh2nTpo3G9A8ePGDHjh0a27uuWrUKKysrqlSpwqhRo3j+/Hm6642PjycuLk7tlSNq107+KztYk6RC77vvvuPJkyeUL1+eGTNmsHXrVrZt26YqGD958oSxY8d+0DoOHTrE4MGDOXbsGPv27SMxMZEWLVqoOkcBmDFjBrNmzeL//u//OHnyJDY2NjRv3jzDa6QkSflPcHAwTk5lady4Md26daNx48Y4OZUlODhY26FJkiRJqeS7J96jR48mNjaWihUroquri1KpZOrUqemO1bZ8+XLMzMzStP/r3r07zs7O2NjYcOHCBQIDAzl79iz79u3TmE9QUBCTJk3K8e1RFbyPHcv5vCVJ+qiULFmSv//+m0GDBhEYGEhK35YKhYKWLVuyYMECSpYs+UHr2L17t9r7pUuXUqJECU6dOkXDhg0RQqiG50i5bi5fvpySJUuyevXqDHsYlSQp/0jpkFCIdsAaUjokvHdvGv7+/rJvBEmSpHwm3xW8161bx8qVK1m9ejVVqlQhPDycYcOGYWdnR69evdKkX7JkCd27d09TbbN///6q/11dXSlXrhzu7u6cPn2aminja78jMDBQbay9uLg4HBwcPnyDPD2T/54/D3FxIHu4lKRCzcnJiZ07d/L06VOuX7+OEIJy5cpRrFixXFlfbGwsAJaWlgBERkYSExNDixYtVGkMDAxo1KgRR44ckQVvSfoIKJVKhg4d+W+hewv/VWCshxBbUCg6MGzYKHx9fWW1cylfkYMpSR+jdzv5/hD5ruD99ddf8+2336p6IHdzc+PWrVsEBQWlKXiHhoZy5coVtTGK01OzZk309PS4du2axoK3gYEBBgYGObMR77K1BWdniIxMfur9zs2uJEmFR2JiImvXruXRo0dUrlyZFi1aUDulRkwuEUIwYsQIGjRogKurKwAxMTEAaZ6slyxZklu3bmnMJz4+nvj4eNX7HGuKI0lStoSGhnL3bhTJT7pTtxrUQYhA7tzxJDQ0VPaZIOULenp6KBQKHj16hLW1NQqFQtshSdJ7CSF4+/Ytjx49QkdHB319/Q/KL98VvF+9eoWOjvqXiK6ursZfGhYvXkytWrWoVq3ae/O9ePEiCQkJ2ukxuH795IL333/LgrckFVJdu3alePHiVKxYkY0bNzJ69Gg2bNhAuXLlcm2dQ4YM4dy5cxw+fDjNvNQ3PUKIdG+Ecq0pjiRJ2fLf6C6u6aRwTZVOkrRLV1cXe3t77t69S1RUlLbDkaQsMTY2pnTp0mnKqFmV7wrePj4+TJ06ldKlS1OlShXOnDnDrFmz6NOnj1q6uLg4NmzYwMyZM9PkcePGDVatWkWbNm2wsrIiIiKCkSNHUqNGDerXr59Xm/Kf+vVh5crkgrckSYXSlStXOHfunOr96dOn6d+/f671rPnll1+ybds2/vrrL+zt7VXTU0Z6iImJUfsh8uHDh+m2L8+1pjiSJGXLf+fuBaCehhQXUqWT8qv169czcuhQZs2bxyeffKLtcHKVqakp5cqVIyEhQduhSFKm6erqUqRIkZyppSHymbi4ODF06FBRunRpYWhoKFxcXMTYsWNFfHy8WrpffvlFGBkZiWfPnqXJ4/bt26Jhw4bC0tJS6OvrizJlyoivvvpKPH78ONNxxMbGCkDExsZ+8DaJc+eEACFMTIRISPjw/Aq4169fi4iICPH69Wtth5LjDh48KADx9OlTIYQQS5cuFRYWFh+Up6Ojo5g9e7bqPSA2b978QXlm5H35R0ZGCkCcOXMm12LIroyOrRw95zXw8PAQ169fV5vm5uaW4+tJSkoSgwcPFnZ2duLq1asa59vY2Ijp06erpsXHxwsLCwuxaNGiTK0jt/eVJEkZS0xMFPb2TkKh8BGgFCDeeSmFQuEjHBycRWJiYo6sT57zmZeVffXgwQNRvGhRYQTCqmhR8eDBgzyIUJKknJSVcz7fPfE2MzNjzpw5zJkzJ8N0n3/+OZ9//rnGeQ4ODhw6dCgXosumKlXAwgJiY+HcOdDQxlwqOI4cOYKXlxfNmzdP08N0XoiOjs6wo66AgACWL1+eZvq1a9coW7ZsboZWqP3yyy906NCB1q1bU6lSJS5dukTp0qVzfD2DBw9m9erVbN26FTMzM1WbbgsLC4yMjFAoFAwbNoxp06ZRrlw5ypUrx7Rp0zA2NqZbt245Ho8kSTlPV1eXuXNn4u/vj0LRASECSenVXKEIArYzZ85G2bFaPiaEYNDAgSieP+ck4P38OYO/+IINmzZpOzRJknJJvhvHu0DS0QEPj+T/ZXXzAm/JkiV8+eWXHD58mNu3b+f5+m1sbN7bUWCrVq2Ijo5Wezk7O+dRhLnv7du32g4hDTc3N8LCwqhVqxa3bt2iTJkyrF+/PsfXs3DhQmJjY/H29sbW1lb1ercTym+++YZhw4YxaNAg3N3duXfvHnv37sXMzCzH45EkKXf4+fmxceNGSpU6D3gC5oAn9vYXCvxQYgsXLqRq1aqYm5tjbm6Oh4cHu3btAiAhIYHRo0fj5uaGiYkJdnZ29OzZk/v372eY57Jly1AoFGleb968yZVtWL9+PZs2b2aBUkkV4Gelko3BwbnyvSBJUv4gC955JaVtuYZOjqSC4+XLl6xfv54vvviCdu3asWzZsiwt//jxY+rUqUP79u158+YNN27cwNfXl5IlS2Jqakrt2rXZv39/hnkoFAq2bNmSYRoDAwNsbGzUXilPRv73v/9Rq1YtDA0NcXFxYdKkSSQmJqab14kTJ6hRowaGhoa4u7tz5swZtflPnz6le/fuWFtbY2RkRLly5Vi6dCkAUVFRKBQK1q5di6enJ4aGhlSpUkWt3bNSqaRv3744OztjZGREhQoVmDt3rto6AgIC6NChA0FBQdjZ2VG+fPkMt19bDAwM6NKlCxMnTmTAgAEYGxvn+DqEEBpfAQEBqjQKhYKJEycSHR3NmzdvOHTokKrX8/xMqVQSEhLCmjVrCAkJQalUajskScoT6R37fn5+REVd5+DBg6xevZqDBw8SGXmtQBe6Aezt7fnhhx8ICwsjLCyMJk2a4Ovry8WLF3n16hWnT59m3LhxnD59muDgYK5evUr79u3fm6+5uXmaH6VTD1ebEx4+fMjggQPxVyhIadX9CdBJoWDwgAE8fPgwx9cpSZL25buq5gVWSsH777+Tm2DJYRQyTQh49Uo76zY2ztpHtW7dOipUqECFChX47LPP+PLLLxk3blymOmS4e/cuLVq0wN3dnSVLllCkSBFevHhBmzZtmDJlCoaGhixfvhwfHx+uXLmSK9WU9+zZw2effca8efPw8vLixo0bqiYdEyZMSJP+5cuXtGvXjiZNmrBy5UoiIyMZOnSoWppx48YRERHBrl27sLKy4vr167x+/Votzddff82cOXOoXLkys2bNon379kRGRlK8eHGSkpKwt7dn/fr1WFlZceTIET7//HNsbW3p3LmzKo8///wTc3Nz9u3bly/HCb19+3aWPrN79+5RqlSpXIzo4xIcHMzQoSP/HUIpmb29E3PnzizwhQypcHvfsa+rq1vohgzz8fFRez916lQWLlzIsWPH6Nu3L/v27VObP3/+fOrUqfPe67BCoVB1QJlb3q1i/vM731UKYIEQVJZVziWp4Mq9puYftxzvSOTFCyF0dZN7PomKypk8C6jUHWC9eCFSdRyTd68XL7IWu6enp5gzZ44QQoiEhARhZWUl9u3bp5qfXudqV65cEaVLlxZffvmlSEpKynAdlStXFvPnz1e9z2rnar169RK6urrCxMRE9fL39xdCCOHl5SWmTZumln7FihXC1tZWY/6//PKLsLS0FC9fvlTNX7hwoVrnaj4+PqJ3794aY0npiO2HH35QTUtISBD29vZqnX+lNmjQINGpUye1bSpZsmSaThhT02bnaiVKlBD9+vUTx48fTzfNs2fPxK+//iqqVKki5s2blytx5IS87mhp06ZNQqFQCPARcFTAcwFHhULhIxQKhdi0aVOexCFJeS2/HPv5uXO1xMREsWbNGqGvry8uXryoMc2+ffuEQqHIMP6lS5cKXV1dUbp0aVGqVCnRtm1bcfr06feu/82bNyI2Nlb1unPnTob76vz58wIQ49O58RgPAhAXLlzI3A6QJEmrPurO1QosExOoUQPCwpKfejs6ajsiKYdduXKFEydOEBwcDECRIkXo0qULS5YsoVmzZuku9/r1axo0aEDXrl3TVKF++fIlkyZNYvv27dy/f5/ExERev379wW3HGzduzMKFC1XvTUxMADh16hQnT55k6tSpqnlKpZI3b97w6tWrNFWjL126RLVq1dSme6T0Z/CvL774gk6dOnH69GlatGhBhw4d8PT0VEvz7jJFihTB3d2dS5cuqaYtWrSI33//nVu3bvH69Wvevn1L9erV1fJwc3NDX18/i3si71y6dIlp06bRqlUr9PT0cHd3x87ODkNDQ54+fUpERAQXL17E3d2dH3/8kdatW2s75HxBqVQydOhIhGgHbOG/FlL1EGILCkUHhg0bha+vr+xISipQ5LGfsfPnz+Ph4cGbN28wNTVl8+bNVK5cOU26N2/e8O2339KtWzfMzc3Tza9ixYosW7YMNzc34uLimDt3LvXr1+fs2bOUK1cu3eWCgoKYNGlSpuOuUqUKnTp2ZMG2bQxWKinxzryHwM+6uvj7+lKlSpVM5ylJ0sdBFrzzUv36/xW8Ze/BmWZsDC9eaG/dmbV48WISExPVqgcLIdDT0+Pp06fp9jRuYGBAs2bN2LFjB19//bXamMtff/01e/bs4aeffqJs2bIYGRnh7+//wZ2HmZiYaOzBPCkpiUmTJmmsuqupnZvIRJXu1q1bc+vWLXbs2MH+/ftp2rQpgwcP5qeffspwuZTq+evXr2f48OHMnDkTDw8PzMzM+PHHHzl+/HiabcrPLC0t+emnn5gyZQo7d+4kNDSUqKgoXr9+jZWVFd27d6dly5YfRVvrvBQaGvpvFds1pO2WRAchArlzx5PQ0NBCV91WKtjksZ+xChUqEB4ezrNnz9i0aRO9evXi0KFDaoXvhIQEPv30U5KSkliwYEGG+dWrV4969f4bE71+/frUrFmT+fPnM2/evHSXCwwMZMSIEar3cXFxODg4pJteoVCwYNEiKh88yODYWDb8+z0qgEEKBQpzc35+54dxSZIKDlnwzkv168PcubJn8yxSKJIrDORniYmJ/PHHH8ycOZMWLVqozevUqROrVq1iyJAhGpfV0dFhxYoVdOvWjSZNmhASEoKdnR2QfOMVEBBAx44dAXjx4gVRUVG5th01a9bkypUrmR5WrHLlyqxYsYLXr19jZGQEwLFjx9Kks7a2JiAggICAALy8vPj666/VCt7Hjh2jYcOGQPK+PHXqlGp/hYaG4unpyaBBg1Tpb9y4ke1t1DZDQ0P8/Pxku+RMio6O/ve/9H6QcE2VTpIKBnnsZ0xfX1/1XeXu7s7JkyeZO3cuv/zyC5Bc6O7cuTORkZEcOHAgw6fdmujo6FC7dm2uXbuWYToDA4P3jiSSWokSJfh50SI+/fRTNpDcsdoGYJMQrFu0iBIlSrwnB0mSPkayV/O8lNLB2vnzEBen3VikHLV9+3aePn1K3759cXV1VXv5+/uzePHiDJfX1dVl1apVVKtWjSZNmqjGXi5btizBwcGEh4dz9uxZunXrRlJSUq5tx/jx4/njjz+YOHEiFy9e5NKlS6xbt47vvvtOY/pu3bqho6ND3759iYiIYOfOnWmeZI8fP56tW7dy/fp1Ll68yPbt26lUqZJamp9//pnNmzdz+fJlBg8ezNOnT+nTpw+QvA/CwsLYs2cPV69eZdy4cZw8eTJ3doCU79ja2v7734V0UlxIlU6SCgZ57GeNEIL4+Hjgv0L3tWvX2L9/P8WLF89WfuHh4bm2fzt37kynjh0ZpKvLRWCwri7+fn5qnYZKklSwyIJ3XrKzAycnSEoCDU8FpY/X4sWLadasGRYWFmnmderUifDwcE6fPp1hHkWKFGHNmjVUqVKFJk2a8PDhQ2bPnk2xYsXw9PTEx8eHli1bUrNmzdzaDFq2bMn27dvZt28ftWvXpl69esyaNQvHdPokMDU15X//+x8RERHUqFGDsWPHMn36dLU0+vr6BAYGUrVqVRo2bIiuri5r165VS/PDDz8wffp0qlWrRmhoKFu3bsXKygqAgQMH4ufnR5cuXahbty6PHz9We/otFWxeXl7Y2zuhUEwDUv/olIRCEYSDgzNeXl7aCE+Sco089tM3ZswYVXOd8+fPM3bsWEJCQujevTuJiYn4+/sTFhbGqlWrUCqVxMTEEBMTo9ZMq2fPngQGBqreT5o0iT179nDz5k3Cw8Pp27cv4eHhDBw4MFe2IaXKuTAzozaArGIuSQVfLnf09tHKtR48e/RI7rlyzJiczbcAyajnaalgSenVPKUH9NymzV7NCxJt9WquUPgIOCIgTsAR2au5VODll2M/v10f+/TpIxwdHYW+vr6wtrYWTZs2FXv37hVC/Pe9oul18OBBVR6NGjUSvXr1Ur0fNmyYKF26tCrPFi1aiCNHjmQ5tqzuq3Xr1gl7Gxuxfv36LK9LkiTty8o5rxAiHw54mw/ExcVhYWFBbGxsltsFZWjpUujTB+rVg6NHcy7fAuTNmzdERkbi7OyssUMvqeCIiorC2dmZM2fOpOmlPDdkdGzl2jlfAGljX2kay9jBwZk5c36S7eWlAi0/HPvy+ph5cl9JUuGSlXNedq6W15o0Sf578iQ8fw5mZtqNR5Ik6SPg5+eHr68voaGhREdHY2tri5eXF7q6uiiVSo3TJeljo+lYzujYlyRJkj4e2S54JyQkEBMTw6tXr7C2tsbS0jIn4yq4HB3B2RkiIyE0FNq00XZEkqQ1Tk5OmRqSrCB4d7iZ95k1a1YuRvLx0tXVTTNskqangfb2TsydO1M+CZc+Ku87lgvjkGGSJEkFSZYK3i9evGDVqlWsWbOGEydOqHqPBLC3t6dFixZ8/vnn1K5dO8cDLVCaNIHFi+HgQVnwlqRC4syZM5lKlzJ+ufR+wcHB+Pv7I0Q7ksc6dgUucO/eNPz9/dm4caMsfEsfBXksS5IkFXyZbuM9e/Zspk6dipOTE+3bt6dOnTqUKlUKIyMjnjx5woULFwgNDWXz5s3Uq1eP+fPnU65cudyOP9fkahud1auhe3eoWRNOncrZvAsA2cZbyi2yjXfOyA/7SqlU4uRUlrt33YAtqA/SkYRC0QF7+wtERl6TVXKlfO1jOJbzwzn/sZD7SpIKl1xp433kyBEOHjyIm5ubxvl16tShT58+LFq0iMWLF3Po0KGPuuCdqxo3Tv575gw8eQKymr5GuTletVQ4yWOq4AgNDf23Su4a0o6MqYMQgdy540loaKisoivla/JYliRJKhwyXfDesGFDptIZGBjIMXbfx9YWKlaEy5fhr7+gQwdtR5Sv6Ovro6Ojw/3797G2tkZfX19Wv5U+iBCCt2/f8ujRI3R0dNDX19d2SABERERw+/ZttbFlAdq3b6+liD4e0dHR//7nmk4K11TpJCl/kseyJElS4SB7NdeWJk2SC94HDsiCdyo6Ojo4OzsTHR3N/fv3tR2OVIAYGxtTunRpdHRSP1XKWzdv3qRjx46cP38ehUKh6mAu5QcmpVKpzfA+Cra2tv/+dwGopyHFhVTpJCl/kseyJElS4ZClgveBAwcYMmQIx44dS1OHPTY2Fk9PTxYtWoSXl1eOBlkgNW4MCxYkF7ylNPT19SldujSJiYmyECLlCF1dXYoUKZIvak8MHToUZ2dn9u/fj4uLCydOnODx48eMHDmSn376SdvhfRS8vLywt3fi3r1pCLGFtO1ig7C3d5bfR1K+J49lSZKkwiFLBe85c+bQv39/jQ3HLSwsGDBgALNmzZJfDpmR0k7r4kV48ABKltRqOPmRQqFAT08PPT09bYciSTnq6NGjHDhwAGtra3R0dNDR0aFBgwYEBQXx1VdfZboH9MJMV1eXuXNn4u/vj0LRASECSekJWqEIArYzZ85G2bGalO/JY1mSJKlwyFJ9y7Nnz9KqVat057do0YJTspfuzLGygmrVkv8PCdFqKJIk5S2lUompqSkAVlZWqiYVjo6OXLlyRZuhfVT8/PzYuHEjpUqdBzwBc8ATe/sLcvgl6aMij2VJkqSCL0tPvB88eJDh08ciRYrw6NGjDw6q0GjcGM6eTR7Pu0sXbUcjSVIecXV15dy5c7i4uFC3bl1mzJiBvr4+v/76Ky4uLtoO76Pi5+eHr68voaGhREdHY2tri5eXl3w6KH105LEsSZJUsGXpiXepUqU4f/58uvPPnTv3wZ1/JCYm8t133+Hs7IyRkREuLi58//33asMABQQEoFAo1F716ql3SBIfH8+XX36JlZUVJiYmtG/fnrt3735QbDmuSZPkv7KdtyQVKt99953qmjZlyhRu3bqFl5cXO3fuZO7cuVqO7uOjq6uLt7c3Xbt2xdvbWxZUpI+WPJYlSZIKriw98W7Tpg3jx4+ndevWGBoaqs17/fo1EyZMoF27dh8U0PTp01m0aBHLly+nSpUqhIWF0bt3bywsLBg6dKgqXatWrVi6dKnqferhgYYNG8b//vc/1q5dS/HixRk5ciTt2rXj1KlT+eeLrGFD0NWFa9cgKgqcnLQdkSRJeaBly5aq/11cXIiIiODJkycUK1YsX3T+JkmSJEmSJOWsLBW8v/vuO4KDgylfvjxDhgyhQoUKKBQKLl26xM8//4xSqWTs2LEfFNDRo0fx9fWlbdu2ADg5ObFmzRrCwsLU0hkYGGBjY6Mxj9jYWBYvXsyKFSto1qwZACtXrsTBwYH9+/er3fRqlYUFeHjA4cOwezcMHKjtiCRJygPff/99hvPHjx+fR5FIkiRJkiRJeSFLBe+SJUvy999/M2jQIAIDA9XGnm3ZsiULFiyg5Af2zt2gQQMWLVrE1atXKV++PGfPnuXw4cPMmTNHLV1ISAglSpSgaNGiNGrUiKlTp1KiRAkATp06RUJCAi1atFClt7Ozw9XVlSNHjmgseMfHxxMfH696HxcX90HbkWmtWycXvHfulAVvSSokNm/erPY+ISGByMhIihQpQpkyZWTBW5IkSZIkqYDJUsEbkp9A79y5k6dPn3L9+nWEEJQrV45ixYrlSECjR48mNjaWihUroquri1KpZOrUqXTt2lWVpnXr1nzyySc4OjoSGRnJuHHjaNKkCadOncLAwICYmBj09fXTxFSyZEliYmI0rjcoKIhJkyblyDZkSevWMHZscjvv+HgwMMj7GCRJylOahguLi4sjICCAjh07aiEiSZIkSZIkKTdluuCdmJjI2rVrefToEZUrV6ZFixbUrl07xwNat24dK1euZPXq1VSpUoXw8HCGDRuGnZ0dvXr1AqDLOz2Au7q64u7ujqOjIzt27MhwyA0hRLrtJwMDAxkxYoTqfVxcHA4ODjm0VRmoXh1sbCAmBkJD4d+q8ZIkFS7m5uZ8//33tGvXjh49emg7HEmSJEmSJCkHZbpX865du3L48GEUCgUbN26kRo0aXLt2LccD+vrrr/n222/59NNPcXNzo0ePHgwfPpygoKB0l7G1tcXR0VEVj42NDW/fvuXp06dq6R4+fJhuVXgDAwPMzc3VXnlCoYCUsdF37cqbdUqSlC89e/aM2NhYbYchSZIkSZIk5bBMF7yvXLnCokWLGDZsGL/99htLliyhf//+OR7Qq1ev0NFRD0tXV1dtOLHUHj9+zJ07d1RDmdWqVQs9PT327dunShMdHc2FCxfw9PTM8Zg/WJs2yX9lwVuSCoV58+apvebOncu3335Lly5daJXyQ5wkSZKk0cKFC6latarqQYmHhwe73rmHEkIwceJE7OzsMDIywtvbm4sXL743302bNlG5cmUMDAyoXLlymv44JEmSPkSmq5qbmppy48YNypQpA0DNmjV58uRJjgfk4+PD1KlTKV26NFWqVOHMmTPMmjWLPn36APDixQsmTpxIp06dsLW1JSoqijFjxmBlZaVqG2lhYUHfvn0ZOXIkxYsXx9LSklGjRuHm5qbq5Txfad48eVixS5fksGKSVAjMnj1b7b2Ojg7W1tb06tWLwMBALUUlSZL0cbC3t+eHH36gbNmyACxfvhxfX1/OnDlDlSpVmDFjBrNmzWLZsmWUL1+eKVOm0Lx5c65cuYKZmZnGPI8ePUqXLl2YPHkyHTt2ZPPmzXTu3JnDhw9Tt27dvNw8SZIKKIVI6Zr8Pc6fP0+3bt1o3bo1lSpV4tKlS0RERLB9+/YcDej58+eMGzeOzZs38/DhQ+zs7OjatSvjx49HX1+f169f06FDB86cOcOzZ8+wtbWlcePGTJ48Wa1N9ps3b/j6669ZvXo1r1+/pmnTpixYsCDT7bbj4uKwsLAgNjY2b6qde3kl926+YAF88UXur0+SJDV5fs5/xD6WfaVUKgkNDSU6OhpbW1u8vLzQ1dXVdlhSIfcxHpcfwzlvaWnJjz/+SJ8+fbCzs2PYsGGMHj0aSB65pmTJkkyfPp0BAwZoXL5Lly7ExcWpPTlv1aoVxYoVY82aNZmO42PYV5Ik5ZysnPOZrmru5uZGWFgYtWrV4tatW5QpU4b169d/cLCpmZmZMWfOHG7dusXr16+5ceMGU6ZMQV9fHwAjIyP27NnDw4cPefv2Lbdu3WLZsmVpCtSGhobMnz+fx48f8+rVK/73v//lTWdp2dW6dfJfWd1ckiTpgwUHB+PkVJbGjRvTrVs3GjdujJNTWYKDg7UdmlSIyeMy5ymVStauXcvLly/x8PAgMjKSmJgYtSFlDQwMaNSoEUeOHEk3n6NHj6otA9CyZcsMl5EkScqKTFc1v337NqVLl1brUTwj9+7do1SpUtkOrNCRw4pJUoH27qgJ7zNr1qxcjKTgCw4Oxt/fHyHaAWsAV+AC9+5Nw9/fn40bN2Y4AoYk5QZ5XEJUVBShoaFERUXx6tUrrK2tqVGjBh4eHhgaGmYpr/Pnz+Ph4cGbN28wNTVl8+bNVK5cWVVQTt2ZbsmSJbl161a6+cXExGhcJr1haFPEx8cTHx+veh8XF5el7ZAkqfDIdMG7du3atG/fnv79+1OnTh2NaWJjY1m/fj1z585lwIABfPnllzkWaIEnhxWTpAIt9djdp06dQqlUUqFCBQCuXr2Krq4utWrV0kZ4BYZSqWTo0JH/Fm628F/FrnoIsQWFogPDho3C19c331fvlQqOwn5crl69mnnz5nHixAlKlChBqVKlMDIy4smTJ9y4cQNDQ0O6d+/O6NGjcXR0zFSeFSpUIDw8nGfPnrFp0yZ69erFoUOHVPNTDx+b0ZCyH7JMUFAQkyZNylTMkiQVbpkueF+6dIlp06bRqlUr9PT0cHd3x87ODkNDQ54+fUpERAQXL17E3d2dH3/8kdYpVaelzFEokp96L10KO3fKgrckFTAHDx5U/T9r1izMzMxYvnw5xYoVA+Dp06f07t0bLy8vbYVYIISGhnL3bhTJTxRTt6bSQYhA7tzxJDQ0FG9v7zyPTyqcCvNxWbNmTXR0dAgICGD9+vWULl1abX58fDxHjx5l7dq1uLu7s2DBAj755JP35quvr6/qXM3d3Z2TJ08yd+5cVbvumJgY1Wg3kPGQspA8FG3qp9vvWwYgMDBQrUZTXFxc/m7aKEmS1mS6jbelpSU//fQT9+/fZ+HChZQvX55//vlHNXZ29+7dOXXqFH///bcsdGdXyrBi27ZB5vq8kyTpIzRz5kyCgoJUhW6AYsWKMWXKFGbOnKnFyD5+0dHR//7nmk4K11TpJCn3FebjcvLkyYSFhTFkyJA0hW5Ibn/t7e3NokWLuHTpEk7ZHNlFCEF8fDzOzs7Y2NioDSn79u1bDh06lOGQsh4eHmrLAOzdu/e9w9AaGBiohjVLeUmSJGmS6SfeKQwNDfHz8yvw7ZC0olWr5LbdN27AhQvg5qbtiCRJygVxcXE8ePCAKlWqqE1/+PAhz58/11JUBcN/T7guAPU0pLiQKp0k5b7CfFy2bds202mtrKywsrJ6b7oxY8bQunVrHBwceP78OWvXriUkJITdu3ejUCgYNmwY06ZNo1y5cpQrV45p06ZhbGxMt27dVHn07NmTUqVKERQUBMDQoUNp2LAh06dPx9fXl61bt7J//34OHz6c9Y2WJEnSINNPvKU8YGqaPKY3wJYtWg1FkqTc07FjR3r37s3GjRu5e/cud+/eZePGjfTt21f+qPmBvLy8sLd3QqGYBiSlmpuEQhGEg4OzrNIv5Sl5XCY7ffo058+fV73funUrHTp0YMyYMbx9+zbT+Tx48IAePXpQoUIFmjZtyvHjx9m9ezfN/72H+uabbxg2bBiDBg3C3d2de/fusXfvXrUxvG/fvq1Ww8DT05O1a9eydOlSqlatyrJly1i3bp0cw1uSpByT6XG8CxutjcO4ZAn07Qs1asDp03m3Xkkq5PLynH/16hWjRo1iyZIlJCQkAFCkSBH69u3Ljz/+iImJSa6u/0Pl93FqU3qPhnYIEUhK79EKRRCwvVD0Hi3lPx/zcZlT53zt2rX59ttv6dSpEzdv3qRKlSp07NiRkydP0rZtW+bMmZNzQWtJfr8+SpKUs3JlHG8pj/j4gI4OnDkDUVHajkaSpFxgbGzMggULePz4MWfOnOH06dM8efKEBQsW5PtC98fAz8+PjRs3UqrUecATMAc8sbe/kK8LN1LBJo/L5NEbqlevDsCGDRto2LAhq1evZtmyZWzatEm7wUmSJOWyLLfxlnKZtTU0aAB//ZVc3XzYMG1HJElSLjExMaFq1araDqNA8vPzw9fXl9DQUKKjo7G1tcXLy0s1VJNSqUx3niTlBE3H2PuOy4JOCEFSUnJV+/3799OuXTsAHBwc+Oeff7QZmiRJUq6TBe/8qGNHWfCWpAJmxIgRTJ48GRMTE7WhZzSZNWtWttfz119/8eOPP3Lq1Cmio6PZvHkzHTp0UM0PCAhg+fLlasvUrVuXY8eOZXud+ZWurq7GoZmCg4MZOnTkv8M7JbO3d2Lu3JmF4qmjlPved4wVtCHDMsvd3Z0pU6bQrFkzDh06xMKFCwGIjIx877BdkiRJH7tsVzUPDQ3ls88+w8PDg3v37gGwYsUK2ftjTki5SQ4NhUePtBqKJEk548yZM6r23GfOnEn3FR4e/kHrefnyJdWqVeP//u//0k3TqlUroqOjVa+dO3d+0Do/JintbO/edQOOAs+Bo9y754a/vz/BwcFajlD62MljLH1z5szh9OnTDBkyhLFjx6rG4d64ceN7h+2SJEn62GWrc7VNmzbRo0cPunfvzooVK4iIiMDFxYUFCxawffv2AnETp/XOMWrWTG7nvXgx9OmT9+uXpEJG6+d8LlAoFBqfeD979owtHzBywse6r5RKJU5OZf8tEG1B/bfnJBSKDtjbXyAy8lqhqfor5ayCeozl9jn/5s0bdHV10dPTy/G889rHen2UJCl7cr1ztSlTprBo0SJ+++03tYukp6cnp2VP3Dkj5UZ582athiFJUs57/fo1r169Ur2/desWc+bMYe/evXmy/pCQEEqUKEH58uXp378/Dx8+zDB9fHw8cXFxaq+PUWho6L9Vf8eQ9utPByECuXMnktDQ0LwPTioQ5DGWsZMnT3L8+PE008+ePcvZs2e1EJEkSVLeyVbB+8qVKzRs2DDNdHNzc549e/ahMUmQ3M4bYN8+ePFCu7FIkpSjfH19+eOPPwB49uwZderUYebMmfj6+qraPOaW1q1bs2rVKg4cOMDMmTM5efIkTZo0IT4+Pt1lgoKCsLCwUL0cHBxyNcbc8t+Yva7ppHBNlU6SskYeYxkbPHgwd+7cSTP93r17DB48WAsRSZIk5Z1sFbxtbW25fv16mumHDx/GxcXlg4OSAFdXKFMG4uOhAFTdlyTpP6dPn8bLywtIbttoY2PDrVu3+OOPP5g3b16urrtLly60bdsWV1dXfHx82LVrF1evXmXHjh3pLhMYGEhsbKzqpenG+WNga2v7738X0klxIVU6ScoaeYxlLCIigpo1a6aZXqNGDSIiIrQQkSRJUt7JVsF7wIABDB06lOPHj6NQKLh//z6rVq1i1KhRDBo0KKdjLJwUCvD3T/5/3TrtxiJJUo569eoVZmZmAOzduxc/Pz90dHSoV68et27dytNYbG1tcXR05Nq1a+mmMTAwwNzcXO31MfLy8sLe3gmFYhqQlGpuEgpFEA4OzqofRSQpq+QxljEDAwMePHiQZnp0dDRFisiBdiRJKtiyVfD+5ptv6NChA40bN+bFixc0bNiQfv36MWDAAIYMGZLTMRZen36a/HfHDvhI21RKkpRW2bJl2bJlC3fu3GHPnj20aNECgIcPH+Z5ofbx48fcuXOnUDyB09XVZe7cmcB2FIoOvNvjdPL77cyZ89NH1emVlL/IYyxjzZs3V9WgSfHs2TPGjBlD8+bNtRiZJElS7sv2cGJTp07ln3/+4cSJExw7doxHjx4xefLknIxNqlYNKlRIrm6+dau2o5EkKYeMHz+eUaNG4eTkRN26dfHw8ACSn37XqFHjg/J+8eIF4eHhqmHJIiMjCQ8P5/bt27x48YJRo0Zx9OhRoqKiCAkJwcfHBysrKzqm9CtRwPn5+bFx40ZKlToPeALmgCf29hfYuHGjHMdb+mDyGEvfzJkzuXPnDo6OjjRu3JjGjRvj7OxMTEwMM2fO1HZ4kiRJuSrLw4klJCTQokULfvnlF8qXL59bcWldXgwH8epVcqfl167BxInpJJo4ESZNgrZtYfv2XIlDkqS8HwImJiaG6OhoqlWrho5O8m+gJ06cwNzcnIoVK2Y735CQEBo3bpxmeq9evVi4cCEdOnTgzJkzPHv2DFtbWxo3bszkyZOz1GFaQRguR6lUEhoaSnR0NLa2tnh5eaGrq5vudElKT2E4lnLynH/58iWrVq3i7NmzGBkZUbVqVbp27VoghhKDgnF9lCQp87JyzmdrHG9ra2uOHDlCuXLlsh1kfpcXF84rV6BiRdDVhfv3oUQJDYkuXYLKlaFIEXjwACwtcyUWSSrs5M1S5hXUfRUcHMzQoSP/HQ4qmb29E3PnzizUTyml9BWWY6agnvO5Qe4rSSpccn0c7549e7J48eJsBSf9p0IFqF0blEpYuzadRJUqJVc5T0yE4OA8jU+SpNwTGhrKZ599hoeHB/fu3QNgxYoVHD58WMuRFU7BwcH4+/tz964b77bLvXfPDX9/f4Ll9VdKRR4z2bNixQoaNGiAnZ2dqjPJ2bNns1U2qZMkqYDLVsH77du3LFy4kFq1ajFgwABGjBih9pIyr0eP5L8rV2aQKKWTtXRL55IkfUw2bdpEy5YtMTIy4syZM6oxtJ8/f860adO0HF3ho1QqGTp0JEK0A7YA9QBToB5CbAHaMWzYKJRKpRajlPITecxkz8KFCxkxYgStW7fm6dOnqv1TrFgx5syZo93gJEmSclm2Ct4XLlygZs2amJubc/XqVc6cOaN6pXTok12JiYl89913ODs7Y2RkhIuLC99//z1JScnDciQkJDB69Gjc3NwwMTHBzs6Onj17cv/+fbV8vL29USgUaq9PUwqw+UiXLslVzU+eTK56rlHnzsl/Dx6EmJg8i02SpNwxZcoUFi1axG+//abWrtHT05PTp09rMbLCKTQ09N+qwmNI+7WogxCB3LkTSWhoaN4HJ+VL8pjJnvnz5/Pbb78xduxYteHD3N3dOX/+vBYjkyRJyn3ZGjTx4MGDOR2HyvTp01m0aBHLly+nSpUqhIWF0bt3bywsLBg6dCivXr3i9OnTjBs3jmrVqvH06VOGDRtG+/btCQsLU8urf//+fP/996r3RkZGuRZ3dpUoAa1aJY8YtnIlaOwY3sUF6tSBEydg40aQQ7ZJ0kftypUrNGzYMM10c3Nznj17lvcBFXLR0dH//ueaTgrXVOmkwk4eM9kTGRmpceQGAwMDXr58qYWIJEmS8k62hxPLLUePHsXX15e2bdvi5OSEv78/LVq0UBWqLSws2LdvH507d6ZChQrUq1eP+fPnc+rUKW7fvq2Wl7GxMTY2NqqXhYWFNjbpvT77LPnvypWQbld3srq5JBUYtra2XL9+Pc30w4cP4+LiooWICrf/xjC/kE6KC6nSSYWdPGayx9nZWWPNyF27dlG5cuW8D0iSJCkPZeuJ97tPkTUZP358toIBaNCgAYsWLeLq1auUL1+es2fPcvjw4Qzb/sTGxqJQKChatKja9FWrVrFy5UpKlixJ69atmTBhAmZmZtmOLbe0bw9mZhAVBX//DQ0aaEjUuTOMHJmc4ObN5KfgkiR9lAYMGMDQoUNZsmQJCoWC+/fvc/ToUUaNGvVB108pe7y8vLC3d+LevWn/ts999zfpJBSKIOztnfHy8tJShFJ+I4+Z7Pn6668ZPHgwb968QQjBiRMnWLNmDUFBQfz++++ZzicoKIjg4GAuX76MkZERnp6eTJ8+nQoVKqjSKBQKjcvOmDGDr7/+WuO8ZcuW0bt37zTTX79+jaGhYabjkyRJ0iRbBe/NmzervU9ISCAyMpIiRYpQpkyZD7pxHD16NLGxsVSsWFE1DubUqVPp2rWrxvRv3rzh22+/pVu3bmpduHfv3h1nZ2dsbGy4cOECgYGBnD17ln379mnMJz4+XtXBESR3DZ9XjI2hUydYtiz5qbfGgnepUtCsGezbB3/8kcHA35Ik5XfffPMNsbGxNG7cmDdv3tCwYUMMDAwYNWoUQ2RTkjynq6vL3Lkz8ff3R6HogBCBJFcVvoBCEQRsZ86cjR/tGMxSzpPHTPb07t2bxMREvvnmG169ekW3bt0oVaoUc+fOzVI/PIcOHWLw4MHUrl2bxMRExo4dS4sWLYiIiMDExARIW81/165d9O3bl06dOmWYt7m5OVdSdbojC92SJOUIkUNiY2NFx44dxR9//PFB+axZs0bY29uLNWvWiHPnzok//vhDWFpaimXLlqVJ+/btW+Hr6ytq1KghYmNjM8w3LCxMAOLUqVMa50+YMEEAaV7vyzen/PmnECBEsWJCvHmTTqJVq5ITOTkJoVTmSVySVFjExsbm6TkvhBAvX74UJ0+eFMePHxfPnz8XQghx9+7dPFt/dmljX+WFTZs2CXt7J7XvAAcHZ7Fp0yZthyblU4XlmMmNc/7Ro0fiwYMHOZLXw4cPBSAOHTqUbhpfX1/RpEmTDPNZunSpsLCw+KBYCur1UZIkzbJyziuESLdVcZZduHCBdu3aERUVle08HBwc+Pbbbxk8eLBq2pQpU1i5ciWXL19WTUtISKBz587cvHmTAwcOULx48QzzFUJgYGDAihUr6NKlS5r5mp54Ozg4ZGow9JygVIKjI9y7lzxcd8eOGhK9egW2thAXBwcOQOPGuR6XJBUWcXFxWFhY5Nk5n1pMTAxTp07l999/5/Xr13m+/qzQ9r7KTUqlktDQUKKjo7G1tcXLy0s+tZQyVBiOmZw651+/fo0QAmNjYwBu3brF5s2bqVy5Mi1atMh2vtevX6dcuXKcP38eV9e0Hd49ePAAe3t7li9fTrdu3dLNZ9myZfTr149SpUqhVCqpXr06kydP1tghXHoK8vVRkqS0snLO52jnas+ePSM2NvaD8nj16hU6Ouph6erqqoYTg/8K3deuXWP//v3vLXQDXLx4kYSEhHQ7OjEwMMDc3FztlZd0daF79+T/ly1LJ5Gx8X+drKWbSJKk/OrZs2d0794da2tr7OzsmDdvHklJSYwfPx4XFxeOHTvGkiVLtB1moaarq4u3tzddu3bF29u7wBWgpJwnj5nM8/X15Y8//gCSr4d16tRh5syZ+Pr6snDhwmzlKYRgxIgRNGjQQGOhG2D58uWYmZnh5+eXYV4VK1Zk2bJlbNu2jTVr1mBoaEj9+vW5du1ausvEx8cTFxen9pIkSdIkW228582bp/ZeCEF0dDQrVqygVatWHxSQj48PU6dOpXTp0lSpUoUzZ84wa9Ys+vTpAySP8+3v78/p06fZvn07SqWSmH/Htra0tERfX58bN26watUq2rRpg5WVFREREYwcOZIaNWpQv379D4ovN/XuDTNmwPbtcPcu2NtrSBQQAL/+mjys2P/9X3KvbJIkfRTGjBnDX3/9Ra9evdi9ezfDhw9n9+7dvHnzhl27dtGoUSNthyhJkpRrTp8+zezZswHYuHEjNjY2nDlzhk2bNjF+/Hi++OKLLOc5ZMgQzp07x+HDh9NNs2TJErp37/7ettr16tWjXr16qvf169enZs2azJ8/P829b4qgoCAmTZqU5bglSSqEslOX3cnJSe3l4uIi6tatKwIDA0VcXFx2slSJi4sTQ4cOFaVLlxaGhobCxcVFjB07VsTHxwshhIiMjNTYFhsQBw8eFEIIcfv2bdGwYUNhaWkp9PX1RZkyZcRXX30lHj9+nOk4tNVGx9s7uRn3+PHpJEhKEqJCheRES5bkaWySVJDlxTlfunRpsW/fPiGEEDdu3BAKhUIMHTo019aXW2QbRkkqXHLqnDcyMhK3bt0SQgjxySefiIkTJwohku/bjIyMspzfkCFDhL29vbh582a6af766y8BiPDw8GzF3K9fP9GqVat0579580bExsaqXnfu3JHXR0kqRLJyfczWE++QkBAcHBzSVAkXQnDnzp0PGrLLzMyMOXPmpDt8mJOTE+I9zdIdHBw4dOhQtmPQpi++gJAQ+O03+O470NNLlUChSH7qHRgIS5cmPyaXJOmjcP/+fdVYtS4uLhgaGtKvXz8tRyVJkpQ3ypYty5YtW+jYsSN79uxh+PDhADx8+DBLTfyEEHz55Zds3ryZkJAQnJ2d0027ePFiatWqRbVq1bIcrxCC8PBw3Nzc0k1jYGCAgYFBlvOWJKnwyVYbbxcXF/7555800588eZLhxU96vw4doGRJiI6GbdvSSdSjB+joQGgoXL+el+FJkvQBkpKS0Hvn1zRdXV3V0DeSJEkF3fjx4xk1ahROTk7UrVsXDw8PAPbu3ZulDswGDx7MypUrWb16NWZmZsTExBATE5OmY8q4uDg2bNiQ7g+cPXv2JDAwUPV+0qRJ7Nmzh5s3bxIeHk7fvn0JDw9n4MCB2dhaSZIkddl64p3eE+cXL17IsQ4/kL4+9OsHU6fCwoXJ43unUaoUNG8Oe/bA8uUweXKexylJUtYJIQgICFA9HXnz5g0DBw5MU/gODg7WRniSJEm5yt/fnwYNGhAdHa32BLpp06Z01Dici2YpHbF5e3urTV+6dCkBAQGq92vXrkUIQdeuXTXmc/v2bbXam8+ePePzzz8nJiYGCwsLatSowV9//UWdOnUyHZskSVJ6sjSc2IgRIwCYO3cu/fv3Vw0HAcnDaRw/fhxdXV3+/vvvnI80j2lzOIhbt8DZGYSAK1egfHkNidavhy5dwMYGbt/WUCddkqSsyItzvncmm4YsXbo0V9afU+RwOZJUuMhzPvPkvpKkwiUr53yWnnifOXMGSH5qc/78efT19VXz9PX1qVatGqNGjcpGyNK7HB2hbdvk3s0XLYJZszQk6tAhudAdEwNbtsAnn+RxlJIkZVV+L1BLkiTltIEDBzJ27FgcHBzem3bdunUkJibSPWV8VUmSpAIkSwXvgwcPAslPbebOnSt/yctFX3yRXPBetiy52rmRUaoE+vrQv39yNfOff5YFb0mSJEmS8h1ra2tcXV3x9PSkffv2uLu7Y2dnh6GhIU+fPiUiIoLDhw+zdu1aSpUqxa+//qrtkCVJknJFlqqaFybariqkVELZshAVldzDucZ+Qe7eBSen5MQXLkCVKnkcpSQVHNo+5z8mcl9JUuHyoef8w4cPWbx4MWvXruXChQtq88zMzGjWrBmff/45LVq0yKmQtUZeHyWpcMnKOf9BBe+IiAhu377N27dv1aa3b98+u1nmG/nhwjlrFowcCRUqQEREckfmaXTqBMHBMHgw/N//5XmMklRQ5Idz/mNRWPeVUqkkNDSU6OhobG1t8fLyQldXV9thSXmgsH/2OXnOP3v2jFu3bvH69WusrKwoU6YMCoUihyLVvsJ6fZSkwirX2ninuHnzJh07duT8+fMoFApVL+cpF06lUpmdbKVU+veH779P7mBt+3bQ+HvGoEHJBe8//oCgIPiAMdQlSZIkzYKDgxk6dCR370apptnbOzF37kz8/Py0F5iU6+Rnn7OKFi1K0aJFtR2GJElSnsvWON5Dhw7F2dmZBw8eYGxszMWLF/nrr79wd3cnJCQkh0MsvMzMIGXoyB9/TCdRkybJj8SfP4eVK/MsNkmSpMIiODgYf39/7t51A44Cz4Gj3Lvnhr+/vxz+rQCTn70kSZKUU7JV8D569Cjff/891tbW6OjooKOjQ4MGDQgKCuKrr77K6RgLta++Sh4p7PBhOHZMQwKFIvmpN8CCBcljkEmSlO+Fhoby2Wef4eHhwb179wBYsWIFhw8f1nJk0ruUSiVDh45EiHbAFqAeYArUQ4gtQDuGDRsla3oVQPKzlyRJknJStgreSqUSU1NTAKysrLh//z4Ajo6OXLlyJeeik7Czg88+S/4/3afePXuCsXFyB2uHDuVZbJIkZc+mTZto2bIlRkZGnDlzhvj4eACeP3/OtGnTtByd9K7Q0NB/qxiPIe1Xpg5CBHLnTiShoaF5H5yUq+RnL0mSJOWkbBW8XV1dOXfuHAB169ZlxowZ/P3333z//fe4uLjkaIASpAyNvnkzXLumIUHRosmFb0hn0G9JkvKTKVOmsGjRIn777Tf09PRU0z09PTl9+rQWI5NSi46O/vc/13RSuKZKJxUU8rOXJEmSclK2Ct7fffcdSUlJQPIN5K1bt/Dy8mLnzp3MmzcvRwMszI4dO0bv3r1xcXlD27bJtcjTLVcPH55c7fx//4PLl/M0TkmSsubKlSs0bNgwzXRzc3OePXuW9wFJ6bK1tf33vwvppLiQKp1UUMjPPnckJiayf/9+fvnlF54/fw7w/+3deVhU1RvA8e+wiguouIEgoGmmkHspilsqmTvivmBqaYliLqXmnolmblm5VZqWSwGaWVkuYJhbuUL6U1PcMcoUXEGH8/tjZHRYFBCYGeb9PM99mLn33HvfOcM5M2fuuedw+fJlbt68aeTIhBAif+Wq4e3v768fybNy5cocO3aMf//9l4SEBFq2bJmnAVoqrVZLjx49WLlyJatWrWLsWN36lSvh338z2aFatYfDns+fX1BhCiFywcXFhb/++ivD+l27dkmvIRPj5+eHm5snGs1MIDXd1lQ0mlDc3b3w8/MzRngiH8l7n/fOnTuHj48PnTp1YtiwYfzzzz8AfPDBB4xJ694nhBCFVI4b3vfu3aNFixacPHnSYH3p0qUL1TyMxmZtbc1bb70FwNy5c2nSJJW6deHuXVi+PIudRo/W/V21Ch58mAkhTM+QIUMICQlh3759aDQaLl++zNdff82YMWN4M22wRGESrK2tWbhwLrAZjaYzj45srXu+mQULPrSoOZ0thbz3eS8kJIT69etz7do1HBwc9Ou7dOnC9u3bjRiZEELkvxw3vG1tbYmNjZVGdgEYPHgwJUuW5OTJk3z//SZGjtSt/+QTuHcvkx2aNIEGDXSt808/LchQhRA58Pbbb9O5c2datGjBzZs3adq0KYMHD2bIkCEEBwcbOzyRTkBAAGFhYVSsGAP4Ao6AL25usYSFhclczoWYvPd5a9euXUycOBE7OzuD9R4eHvrZHYQQorDSKJXz+adGjx6Nra0ts2bNyo+YTEJSUhJOTk4kJibi6OhotDgmTJhAaGgovr6+7NjxGx4e8PffsHYt9OyZyQ7r1+s2lC0L587BI78oCyGyZowyf/v2bY4dO0Zqaio1atTQzxZh6kylfixoWq2W6Oho4uPjcXFxwc/PD2tr6yzXi8LD0t/jvCrzpUuXZteuXdSoUYMSJUpw5MgRKleuzK5du+jatSt///13HkZtHJZaPwphqXJS5nPV8B4+fDirVq3imWeeoX79+hQrVsxg+7xCMLK2qVSc8fHxeHp6kpKSwq5du9i+vTFTpsCLL2Yxr/f9+/DMM7pG99Kl8PrrBR6zEOaooMr8vXv3aNOmDUuXLqVatWr5dp78ZCr1oymIiIggJGT0g2mndNzcPFm4cK5cDRWFRl6V+R49euDk5MSyZcsoUaIER48epWzZsnTq1IlKlSqxYsWKPIzaOKR+FMKy5KTM52pwtdjYWOrWrYujoyMnT57k0KFD+uXw4cO5OaTIgouLC/369QNgzpw5DBkCdnawb18WDW8bG/R90ufNA622wGIVQjyZ3K5TeERERBAYGMjFiz48ev/vpUs+BAYGEhERYeQIhTAt8+fPZ+fOndSoUYO7d+/Su3dvPD09uXTpErNnzzZ2eEIIka9ydcXbEpjSL5bHjx+nRo0aaDQajh8/zqxZz7Jypa5H+dq1mexw4wZUqgTXr8O330JgYAFHLIT5Kcgyb+6365hS/WgsWq0WT89nHjS6N2L4O3YqGk1n3NxiiYs7ZVFdkkXhlJdl/s6dO6xdu5aDBw+SmppK3bp16dOnj8Fga+ZM6kchLEu+dzUHiI6OZunSpZw5c4Zvv/2WihUrsnr1ary8vGjSpEmuAjclplZxdurUiU2bNvHaa6/x5pvLqFNHd3E7Lg7c3DLZYepUmDYNatWCQ4d0c3wLIbJUkGXe3G/XMbX60RiioqJo0aIFuivdDTNJsQfwJTIykubNmxdobELkNSnz2Sd5JYRlyUmZt8nNCcLDw+nXrx99+vTh4MGDJCcnA3Djxg1mzpzJjz/+mJvDiscYO3YsmzZtYtWqVbz//vs0a1aWnTthwQL48MNMdhgxAubOhSNH4McfoV27gg5ZCJGFtNt1gAxTM0oXdPMQHx//4JF3Fim806UTQgBcunSJ3377jYSEBFJTDedHHzFihJGiEkKI/Jere7xnzJjBkiVLWL58Oba2tvr1vr6+HDx48KkCun//PhMnTsTLywsHBwcqV67M9OnTDSpnpRRTp07F1dUVBwcHmjdvzp9//mlwnOTkZIYPH06ZMmUoVqwYHTt25OLFi08VmzE1btyYBg0akJyczNKlS3nnHd36jz6CEycy2aF0aXjjDd3jGTNA7igQwmRERkZmuezYscPY4YlscHFxefAoNosUsenSCSFWrFhB5cqVGTRoEB9++CHz58/XLwsWLMj2cUJDQ2nQoAElSpSgXLlydO7cmRPpvgwNGDAAjUZjsDRsmFnvFEPh4eHUqFEDe3t7atSowYYNG3L6MoUQIlO5anifOHGCpk2bZljv6OjI9evXnyqg2bNns2TJEj7++GOOHz/OBx98wJw5c1i0aJE+zQcffMC8efP4+OOP+f3336lQoQKtW7fmxo0b+jQjR45kw4YNrFu3jl27dnHz5k3at2+P1kwHG9NoNISEhADwySef8NJLKbRrp5vPe8SILNrVo0aBvb1uFLbIyIINWAghCjE/Pz/c3DzRaGYCqem2pqLRhOLu7oWfn58xwhPCJE2ePJnJkyeTmJjI2bNniYuL0y9nzpzJ9nF27tzJsGHD2Lt3L1u3buX+/fu0adOGW7duGaR7+eWXiY+P1y9P6pG5Z88eevToQb9+/Thy5Aj9+vWje/fu7Nu3L1evVwghHpWre7yrVKnC0qVLadWqlcE8jKtWrWLWrFkcO3Ys1wG1b9+e8uXL8/nnn+vXde3alaJFi7J69WqUUri6ujJy5EjeeXDZNzk5mfLlyzN79myGDBlCYmIiZcuWZfXq1fTo0QOAy5cv4+7uzo8//oi/v/8T4zDFe3RSUlLw9PQkPj6er776ioYN+1CjBqSkQHg4ZDpzzfDh8PHH0LIlbN9e4DELYS4KssxPnz79sdsnT56cr+d/WqZYPxpD2qjm0B6lxqPrXh6LRhMKbCYsLEymFBOFQl6VeWdnZ/bv30+VKlXyMDr4559/KFeuHDt37tRfGBowYADXr19n48aN2T5Ojx49SEpK4qefftKve/nllylVqhRrMx3NNiOpH4WwLPk+ndiQIUMICQlh3759aDQaLl++zNdff82YMWN48803cxV0miZNmrB9+3b9fY9Hjhxh165dvPLKKwDExcVx5coV2rRpo9/H3t6eZs2asXv3bgAOHDignys3jaurK97e3vo05sjOzk6fvwsWLKByZcXbb+u2vfUW3L6dyU5jx+pGYduxA/bsKbhghRBZ2rBhg8HyzTffMHv2bObOnZujL4nCuAICAggLC6NixRjAF3AEfHFzi5VGtxCZGDRoEN9++22eHzcxMRGA0qVLG6yPioqiXLlyVKtWjddee42EhITHHmfPnj0G3x0B/P39H/vdMTk5maSkJINFCCEyk6vB1d5++20SExNp0aIFd+/epWnTptjb2zNmzBiCg4OfKqB33nmHxMREqlevjrW1NVqtlvfff59evXoBcOXKFQDKly9vsF/58uU5d+6cPo2dnR2lSpXKkCZt//SSk5P1g8QBJltxDhkyhBkzZvDHH3+wZ88exo/3ZfVqOHcOQkPhvffS7VCpEvTvD198AVOmwC+/GCVuIcRDhw4dyrAuKSmJAQMG0KVLl6c69q+//sqcOXM4cOAA8fHxbNiwgc6dO+u3K6WYNm0ay5Yt49q1a7z44ot88skn1KxZ86nOa6kCAgLo1KkT0dHRxMfH4+Ligp+fn/7zK7P1wnTJe5a/QkNDad++PVu2bMHHx8dgnCDI3YwOSilGjRpFkyZN8PZ+ONhh27Zt6datGx4eHsTFxTFp0iRatmzJgQMHsLe3z/RYV65cyfT7ZVbfHdNe07Rp03IctxDC8uTqijfA+++/z7///sv+/fvZu3cv//zzD+9laPXl3Pr16/nqq69Ys2YNBw8e5Msvv+TDDz/kyy+/NEiXfuRfpdQTRwN+XJrQ0FCcnJz0i7u7+9O9kHxStmxZ+vTpA8DChQspWhTmz9dt++ADOH06k50mTgRbW9i6Ve71FsJEOTo6Mn36dCZNmvRUx7l16xa1atXi448/znR7dsbIEDljbW1N8+bN6dWrF82bN8fa2pqIiAg8PZ+hRYsW9O7dmxYtWuDp+QwRERHGDldkQd6z/Ddz5kx+/vln/v77b2JiYjh06JB+OXz4cK6OGRwczNGjRzN0Be/Rowft2rXD29ubDh068NNPP3Hy5El++OGHxx4vp98vx48fT2Jion65cOFCrl6HEMICqKeUmpqqUlNTn/Ywem5uburjjz82WPfee++pZ599Viml1OnTpxWgDh48aJCmY8eOqn///koppbZv364A9d9//xmkef7559XkyZMzPe/du3dVYmKifrlw4YICVGJiYl69tDxz5MgRBShra2t1/vx5lZqqVOvWSoFSvXplsdOwYboEL76oVB6+X0IUFomJiUYv89HR0apkyZJ5djxAbdiwQf88NTVVVahQQc2aNUu/7u7du8rJyUktWbIk28c1hbwyZeHh4Uqj0SjooGCPghsK9iiNpoPSaDQqPDzc2CGKdOQ9e7y8KvMlS5ZUK1asyJuglFLBwcHKzc1NnTlzJlvpn3nmGYP6Lz13d3c1b948g3Xz5s1TlSpVynZMUj8KYVlyUuZzfcX7888/x9vbmyJFilCkSBG8vb357LPPnvqHgNu3b2NlZRiWtbW1fjoxLy8vKlSowNatW/XbU1JS2LlzJ76+vgDUq1cPW1tbgzTx8fHExsbq06Rnb2+Po6OjwWKqnn/+eVq0aIFWq2XevHloNLqr3QBr10KmM7pNnAhFi8K+fbBpU4HGK4Qw9NFHHxksCxcuZNy4cfTo0YOXX345386bnTEyxNPRarWEhIxGqfbARqAhUBxoiFIbgfaMHDnGbGfYKIzkPSs49vb2NG7c+KmPo5QiODiYiIgIduzYgZeX1xP3uXr1KhcuXHjsFH+NGjUy+O4I8Msvv2T53VEIIXIkNy37iRMnqmLFiqlx48ap7777Tn333Xdq3Lhxqnjx4urdd9/NzSH1goKCVMWKFdXmzZtVXFycioiIUGXKlFFvv/22Ps2sWbOUk5OTioiIUDExMapXr17KxcVFJSUl6dMMHTpUubm5qW3btqmDBw+qli1bqlq1aqn79+9nKw5T/8Xy559/VoCysbFRf/75p1JKqT59dBe1W7fOYqfx43UJatZUKpv5IISlKMgy7+npabBUrlxZvfjii2r8+PEG9djTIt0V799++00B6tKlSwbpXnvtNdWmTZssj2NOPYKMLTIyUgEPrpqqTJbdClCRkZHGDlU8IO/Zk+VV/Thz5kw1fPjwp47njTfeUE5OTioqKkrFx8frl9u3byullLpx44YaPXq02r17t4qLi1ORkZGqUaNGqmLFigZ1bL9+/dS4ceP0z3/77TdlbW2tZs2apY4fP65mzZqlbGxs1N69e7Mdm6l/fxRC5K2clPlcNbydnZ3VmjVrMqxfs2aNcnZ2zs0h9ZKSklRISIiqVKmSKlKkiKpcubJ69913VXJysj5NamqqmjJliqpQoYKyt7dXTZs2VTExMQbHuXPnjgoODlalS5dWDg4Oqn379ur8+fPZjsMcKs6OHTsqQL300ksqNTVVnTmjlK2t7ovC1q2Z7PDff0qVLKlLsGpVgccrhCkryDJ/9uxZpdVqM6xPTU1V586dy7PzZNXwvnz5skG6wYMHK39//yyPM2XKlAcNE8PFlOtHY1mzZs2D/LmRRSMuSQGZfoYK45D37Mnyqn7s3LmzcnR0VF5eXqp9+/aqS5cuBkt2ZVYfAfpu7Ldv31Zt2rRRZcuWVba2tqpSpUoqKCgow/fAZs2aqaCgIIN13377rXr22WeVra2tql69eo5vMzCH749CiLyTkzKfq3m8S5Uqxf79+6latarB+pMnT/LCCy9w/fr1nB7S5JjDPIxxcXE899xzJCcn880339CtWzdCQuCjj6BePdi/H6zS30wwaxaMHw+ennDiBNjZGSN0IUxOQZZ5a2tr4uPjKVeunMH6q1evUq5cuTzr0qrRaAxGNT9z5gxVqlTh4MGD1KlTR5+uU6dOlCxZMsMglmkym/XB3d3dpOtHY4mKiqJFixbAHnRdltPbA/gSGRlJ8+bNCzQ2kTl5z54sr+rHV1999bHbV6xYketjmwpz+P4ohMg7+T6Pd9++fVm8eHGG9cuWLdOPuC3yn5eXF+PGjQNg1KhR3Lx5k4kToUQJOHAAMp0qc8QIqFABzp6FLEY9FkLkr6x+77x58yZFihTJt/NmZ4yMzJjTGBjG5ufnh5ubJxrNTCA13dZUNJpQ3N298PPzM0Z4IhPynhWcFStWPHYRQojCLFfzeINucLVffvmFhg11vw7v3buXCxcu0L9/f0aNGqVPl5s5GUX2vfPOO6xatYq4uDjef/99QkNDGTsWJk+GCROgc2cwmK6yaFGYMQMGD4bp06FfPyhb1ljhC2FR0upGjUbD5MmTKVq0qH6bVqtl37591K5d+6nOcfPmTf766y/987i4OA4fPkzp0qWpVKkSI0eOZObMmVStWpWqVasyc+ZMihYtSu/evZ/qvELH2tqahQvnEhgYiEbTGaXGA95ALBpNKLCZBQvCZG5oEyLvmRBCiIKQq67mui5Z2Ti4RsOOHTtyHJQpMKeuQps2baJTp07Y2try559/4uJSlWrVID4eQkPhwUXxh7RaqF8fDh+GN96ATz81RthCmJSCKPNpdefOnTtp1KgRdo/c6mFnZ4enpydjxozJcBtPTjzsNmsoKCiIlStXopRi2rRpLF26lGvXrvHiiy/yySef4O3tne1zmFP9aCwRERGEhIzm4sWz+nXu7l4sWPAhAQEBxgtMZEnes6w9TZmvW7cu27dvp1SpUtSpU+exc2IfzHRaFvMi9aMQliUnZT5XDW9LYE4Vp1KKdu3a8dNPP9GtWze++eYbVq+G/v2hWDE4eRJcXdPttHMnNG+uuwn88GHw8TFC5EKYjoIs86+++ioLFy40+bolK+ZUPxqTVqslOjqa+Ph4XFxc8PPzk6umJiKr90bes8w9TZmfNm0aY8eOpWjRokybNu2xaadMmfI0YZoEqR+FsCwF0vC+e/cuR48eJSEhQT/HNuiucnfo0CE3hzQp5lZxxsTEUKtWLZRS7N+/n3r1GtCkCezZA337wurVmewUGAjh4fDSS7B1KzzmV2ghCjtzK/PGJHklzFlmV7bd3DxZuHCuxV/ZzsrTlvmBAweycOFCSpQokQ/RmRapH4WwLPne8N6yZQv9+vXj6tWrGQ+o0eTZiLzGZI4VZ1BQEKtWraJFixZs376dAwc0vPCCbjKU336DDGMnnTkDzz0HKSmwaRMUgh9MhMgtY5T5Y8eOcf78eVJSUgzWd+zYsUDOn1vmWD8KAbpGd2BgIEq1Bybw8F7umcBmwsLCpPGdiact81nN5FAYSf0ohGXJ94b3M888g7+/P5MnT6Z8+fK5DtSUmWPFee7cOapVq0ZKSgpbtmzB39+fQYPgiy8eM73Y+PG6KcaqVIHYWMjHEZWFMGUFWebPnDlDly5diImJQaPR6Ec5T7v30dR/vDTH+lEIrVaLp+czXLzoA2zEcGKXVDSazri5xRIXd0q6l6fztGXeysqKK1euSMNbCFHo5Pt0YgkJCYwaNarQNrrNlYeHB8HBwQCMGzeO1NRUZs4ER0fd9GKffJLJThMmgIsLnD4NH3xQsAELYaFCQkLw8vLi77//pmjRovz555/8+uuv1K9fn6ioKGOHJ0ShFB0d/aB7+QQyfv2xQqnxXLgQR3R0dMEHZwEeN6iaEEJYglw1vAMDA+XLoYmaMGECjo6OHD58mHXr1lG+PLz3nm7bW2/pbuU2UKIEzJ+vezxzpq4BLoTIV3v27GH69OmULVsWKysrrKysaNKkCaGhoYwYMcLY4QlRKMXHxz94lNUI/t7p0om8VK1aNUqXLv3YRQghCrNczeP98ccf061bN6Kjo/Hx8cHW1tZgu3xxNB5nZ2feeecd3n33XcaNG0fbtm0ZPrwUv/8OX32lG09t926oWfORnbp3h88+g23bIDgYfvxRBloTIh9ptVqKFy8OQJkyZbh8+TLPPvssHh4enDhxwsjRCVE4ubi4PHgUCzTMJEVsunQiL02bNg0nJydjhyGEEEaTq4b3mjVr+Pnnn3FwcCAqKsqg+5BGo5GGt5GFhITwxRdfcPr0aQYNGkR4eDiffabh3DmIjoZ27WDfPtDfKaDR6Pqh+/jAli0QEQFduxr1NQhRmHl7e3P06FEqV67Miy++yAcffICdnR3Lli2jcuXKxg5PiELJz88PNzdPLl2aiVIbyXiPdyhubl74+fkZKcLCrWfPnhZxj7cQQmQlV13NJ06cyPTp00lMTOTs2bPExcXplzNnzuR1jCKHihUrxvr167G1tWXDhg188skn2NvDhg1QtSqcOwcdO8Ldu4/sVK0avPOO7nFICNy4YZTYhbAEEydO1E/DOGPGDM6dO4efnx8//vgjH330kZGjE6Jwsra2ZuHCucBmNJrOwB7gBrDnwfPNLFjwoQyslg/k/m7TpNVqiYqKYu3atURFRZn8wJ5CmLtcNbxTUlLo0aMHVhmGyBamol69esyZMweA0aNHc/DgQZyd4YcfoHRp3Qjnb7+dbqfx48HLCy5dgsmTCz5oISyEv7+/fsqiypUrc+zYMf79918SEhJo2bKlkaMTovAKCAggLCyMihVjAF/AEfDFzS1WphLLR7mYQEfks4iICDw9n6FFixb07t2bFi1a4On5DBEREcYOTYhCK1ct56CgINavX5/XsYg8NmLECDp27Kj/oeTGjRtUraq71xtg0SLYvPmRHRwc4NNPdY8XLoQ9ewo8ZiEKu3v37tGiRQtOnjxpsL506dJyVciCyJUm4wkICODs2b+IjIxkzZo1REZGEhd3Shrd+Sg1NVW6mZuQtPnsdVPrPez5cemSD4GBgdL4FiKf5Goe7xEjRrBq1Spq1arF888/n2FwtXnz5uVZgMZSWOZh/O+//6hduzYXLlzg1Vdf5YsvvgB0I5wvWABlysDRo7oZxfSCgmDVKnjuOTh4UOb2FhahIMt82bJl2b17N1WrVs3X8+SXwlI/GktERAQhIaMfTG2l4+bmycKFc6XxJ0ySlPnsM/W8kvnshchb+T6Pd0xMDHXq1MHKyorY2FgOHTqkXw4fPpybQ4p8Urp0adasWYNGo2HFihX88ssvAMyaBbVrw7//Qv/+8OB2U53583Ujrx0//nAuMiFEnunfvz+ff/65scMQRiBXmoQQxiTz2QthPLka1TwyMjKv4xD5qEmTJgQHB7No0SJef/11YmNjKV68OGvXQr16ulnEPvzwkXu+S5fWjXIeGAizZ+v+1qlj1NcgRGGSkpLCZ599xtatW6lfvz7FihUz2F4Yeg2JjLRaLSEho1GqPYZXmhqi1EY0ms6MHDmGTp06yZUmIUS+kPnshTAeGR3NQsycORNPT0/OnTvH+PHjAaheXXcrN8CECbBz5yM7dO2qa3BrtTBwINy7V/BBC1FIxcbGUrduXRwdHTl58qT0GrIQcqVJCGFshvPZZ0bmsxciv+S64R0dHU3fvn1p1KgRly5dAmD16tXs2rUrz4ITead48eIsX74cgI8//lj/xW7QIOjbV9e+7t5dN6C53scf665+Hz4MM2YUfNBCFFKRkZFZLjt27DB2eCKfyJUmIfJGaGgoDRo0oESJEpQrV47OnTtz4sQJ/fZ79+7xzjvv4OPjQ7FixXB1daV///5cvnz5scdduXIlGo0mw3LXYP5V85Y2n71GMxNITbdVN5+9u7vMZy9EfshVwzs8PBx/f38cHBw4dOgQycnJANy4cYOZM2fmaYAi77Rq1YpBgwYBMGjQIG7fvo1GA0uXQq1akJCgu8idkvJgh/LldV3OAd5/H37/3TiBC1EIpf146evrKz9eWgi50iRE3ti5cyfDhg1j7969bN26lfv379OmTRtu3boFwO3btzl48CCTJk3i4MGDREREcPLkSTp27PjEYzs6OhIfH2+wFClEg8zKfPZCGJHKhdq1a6svv/xSKaVU8eLF1enTp5VSSh06dEiVL18+N4c0OYmJiQpQiYmJxg4lT127dk25uroqQA0dOlS//q+/lCpZUilQatiwdDv16KHbUL26UrdvF2zAQhSQgizzYWFhysHBQQ0ePFjZ29vr69BPPvlEtW3bNt/P/7QKa/2Y3+7fv6/c3DyVRtNBgVaBemTRKo2mg3J391L37983dqhCGDD1Mp+QkKAAtXPnzizT7N+/XwHq3LlzWaZZsWKFcnJyeqpYTD2v0oSHhys3N08F6Bd3dy8VHh5u7NCEMCs5KfO5uuJ94sQJmjZtmmG9o6Mj169fz80hRQEpWbIkK1euBGDJkiVs2LABgCpVHs7v/cknsGLFIzt98oluvrH//U93M7gQ4qnMmDGDJUuWsHz5coPpGH19fTl48KARIxP5Sa40CZE/EhMTAd1MLo9Lo9FoKFmy5GOPdfPmTTw8PHBzc6N9+/YcOnTosemTk5NJSkoyWMyBzGcvRMHLVcPbxcWFv/76K8P6Xbt2Ubly5acOSuSv1q1bM3bsWAAGDx7MxYsXAWjXDqZO1aUZMgT0g9c7O8Nnn+keL1jwyAYhRG7Ij5eWKyAggLCwMCpWjAF8AUfAFze3WMLCwuRLrxA5pJRi1KhRNGnSBG/vzMdPuHv3LuPGjaN3796PnWe3evXqrFy5kk2bNrF27VqKFClC48aNOXXqVJb7hIaG4uTkpF/c3d2f+jUVFGtra5o3b06vXr1o3ry5/OgnRD7LVcN7yJAhhISEsG/fPjQaDZcvX+brr79mzJgxvPnmm08VkKenZ6YDWwwbNgwg020ajYY5c+boj9G8efMM23v27PlUcRU2M2bMoH79+vz333/069cPrVYLwKRJ0KOHbhDzgADdRW4AXnkFXn9d97h/f7h61TiBC1EIyI+Xlu1xV5q0Wi1RUVGsXbuWqKgofd0sck7y0jIEBwdz9OhR1q5dm+n2e/fu0bNnT1JTU/n0008fe6yGDRvSt29fatWqhZ+fH9988w3VqlVj0aJFWe4zfvx4EhMT9cuFCxee6vUIIQqx3PZnnzBhgnJwcFAajUZpNBpVpEgRNXHixNweTi8hIUHFx8frl61btypARUZGKqWUwbb4+Hj1xRdfKI1Go79HUimlmjVrpl577TWDdNevX89RHOZyj87TOHnypCpWrJgC1NSpU/Xr79xRytdXd9+hl5dSCQkPNty4oVTVqroN7dsrlZpqnMCFyAcFWeZnz56tatSoofbu3atKlCihoqOj1VdffaXKli2rFi1alO/nf1qWUD8aQ2b3XLq5eco9l7kgeZm3TLXMBwcHKzc3N3XmzJlMt6ekpKjOnTur559/Xv3777+5OsfgwYPVyy+/nO30pppXQoj8kZMyn6OG96uvvqqSkpL0z2/duqV+//13tW/fPnXjxo2cR5oNISEhqkqVKio1i0Zep06dVMuWLQ3WNWvWTIWEhDzVeS2l4ly5cqX+S8nkyZP1+ZyQoFTlyro2dqNGj4ypduiQUvb2ug3z5hktbiHyWkGX+fz68bIgWEr9WJDCw8OVRqNR0EHBHgU3FOxRGk0HpdFopMGYA5KXec/UynxqaqoaNmyYcnV1VSdPnsw0TVqju2bNmipBfwUh5+epX7++evXVV7O9j6nllRAif+Vbw9vKykr9/fffuQ4sp5KTk5Wzs7N6//33M91+5coVZWNjo77++muD9c2aNVNlypRRzs7OqkaNGmr06NEGPxhk5u7duyoxMVG/XLhwwSIqztTUVDV9+nR943vIkCH6EXWPH3840nmHDkrdu/dgp08+0a20tVVq/37jBS9EHjLGl6WC+PEyP8gXy7yVNtq5rqEoo50/DcnL/GFqZf6NN95QTk5OKioqyqB34+0HVwnu3bunOnbsqNzc3NThw4cN0iQnJ+uP069fPzVu3Dj986lTp6otW7ao06dPq0OHDqlXX31V2djYqH379mU7NlPLKyFE/sq3hrdGoynQhvf69euVtbW1unTpUqbbZ8+erUqVKqXu3LljsH7ZsmVq69atKiYmRq1du1Z5enqqVq1aPfZcU6ZMMeiSlrZYSsW5ePHiB1cIUF27dtXn6a+/KlWkiO5LS1DQg97lqalKde36sC/6tWvGDF2IPGGsL0upqalZ9ugxVfLFMm9FRkY++MzZk66hmLbsNrjlSmRN8jJ/mFqZz+z7GqBWrFihlFIqLi4uyzSPvvfNmjVTQUFB+ucjR45UlSpVUnZ2dqps2bKqTZs2avfu3TmKzdTySgiRv3JS5m1yek+4RqPJ6S659vnnn9O2bVtcXV0z3f7FF1/Qp08fihQpYrD+tdde0z/29vamatWq1K9fn4MHD1K3bt1MjzV+/HhGjRqlf56UlGRWI1M+raFDh1K2bFl69+5NeHg4Go2G9evX4+dnxTffQJcu8OWXUK4cfPCBRjfK+YEDEBcHAwZARARY5WqsPiEs0ueff878+fP1o+VWrVqVkSNHMnjwYCNHJgpafHz8g0eZj8ictv5hOpEVyUvLoJR67HZPT88npgGIiooyeD5//nzmz5//NKEJIUSWctxSqlatGqVLl37skhfOnTvHtm3bsvwSGh0dzYkTJ7L1JbVu3brY2to+djoIe3t7HB0dDRZL07VrV3744QdsbW0JCwvj3XffBaBDh4ezic2ZA7NnAyVLwrffgp0dfPcdzJpltLiFMDeTJk0iJCSEDh068O233/Ltt9/SoUMH3nrrLSZOnGjs8EQBc3FxefAoNosUsenSiaxIXgohhDBVGpWdnwQfsLKyYsGCBTg5OT02XVBQ0FMHNnXqVJYuXcqFCxewscl4YX7AgAHExsbyxx9/PPFYsbGx+Pj4sHPnzkznzs1MUlISTk5OJCYmWlwj/KuvvqJfv34ALF++XP/jxpw58PbbujSzZsE776Brkb/2Gmg0sGULtGljpKiFeDoFWebLlCnDokWL6NWrl8H6tWvXMnz4cP799998Pf/TsuT6MT9otVo8PZ/h0iUflNqI4W/iqWg0nXFziyUu7pTMs/sEkpf5Q8p89kleCWFZclLmc9zVvGfPnpQrVy7XwWVHamoqK1asICgoKNNGd1JSEt9++y1z587NsO306dN8/fXXvPLKK5QpU4Zjx44xevRo6tSpQ+PGjfM17sKib9++/PXXX0ybNo2hQ4fi6elJq1atGDsWbt+GqVNh3Di4fx/efXcw7N0Ln38OvXvrup97eBj7JQhh0rRaLfXr18+wvl69ety/f98IEQljsra2ZuHCuQQGBqLRdEap8ei6RMei0YQCm1mwIEwaitkgeSmEEMJU5aireUHd371t2zbOnz/PwIEDM92+bt06lFIZrhYB2NnZsX37dvz9/Xn22WcZMWIEbdq0Ydu2bfJBmwNTpkyhT58+aLVaunbtypEjRx6shxkzdGkmToRp04CPP4b69eHqVejaFe7cMV7gQpiBvn37snjx4gzrly1bRp8+fYwQkTC2gIAAwsLCqFgxBvAFHAFf3NxiCQsLIyAgwMgRmg/JSyGEEKYox13Nr1y5ku9XvE2BdBWC5ORk2rRpw6+//kqFChX47bffqFy5MgAffPCgqzkwdizMHnYeTb26usZ3z56wZo2u+7kQZqIgy/zw4cNZtWoV7u7uNGzYEIC9e/dy4cIF+vfvj62trT7tvHnz8jWW3JD6Mf9otVqio6OJj4/HxcUFPz8//Y/Gj9tmybLKF8mvvCNlPvskr4SwLDkp8zlqeFsSqTh1rl+/TtOmTYmJiaFKlSr89ttvlC9fHoD58yFtIPigIFjedye2bVvp+qC/957ukrgQZqIgy3yLFi2ylU6j0bBjx458jSU3pH4seBEREYSEjObixbP6dW5unixcONeir+BKvhQMKfPZJ3klhGWRhncekIrzofj4eHx9fTl79iy1a9cmKipKP8DeypUweDBotdCuHXzz8hcUHT5It2NYmK7ruRBmQMp89kleFayIiAgCAwNRqj0wgYf3LM8ENlts92nJl4IjZT77JK+EsCzS8M4DUnEaOnXqFE2aNCEhIQEfHx+WLVum7yK7eTN07667tbtRI/jO+13KLp8JRYtCdDRkMXe6EKakoMv83bt3OXr0KAkJCaSmpurXazQaOnTokO/nfxpSPxactFG6L170ATYio3TrSL4ULCnz2Sd5JYRlyUmZz/E83sIyVa1alS1btuDs7ExMTAy+vr688cYbXLt2jfbtYds23dTee/bAC1tn8Gfj13VDoHfsCJcuGTt8IUzKli1b9Pd3d+zYkc6dOxssQqSJjo5+0I16Ahk/sq1QajwXLsQRHR1d8MEZkeSLEEIIcyMNb5FtderU4X//+x8DBgxAKcWSJUuoXr06UVFR+PrqGt1VqsDZsxoaHV3CT+6v6xrd7dvDzZvGDl8IkxEcHEz37t2Jj48nNTXVYNFqtcYOT5iQ+Pj4B4+8s0jhnS6dZZB8EUIIYW6k4S1ypEyZMqxYsYKoqCiqV69OQkIC/v7+hIeHU7067NsHzZrBjRsa2l9awvxiE1GHD0OvXrobwYUQJCQkMGrUKP1AhUJkxcXF5cGj2CxSxKZLZxkkX4QQQpgbaXiLXGnWrBmHDh2iS5cupKSk0K1bN5YuXYqzM/zyCwwaBKmpGkbdeo/+Vl9zZ/O2h0OgC2HhAgMDiYqKMnYYwgz4+fnh5ub5YMCw1HRbU9FoQnF398LPz88Y4RmN5IsQQghzY2PsAIT5KlKkCN9++y1vvvkmy5YtY+jQofz9999MmjSJ5cs1+PjA6NHwlbY3x3iWDR91oZKHhzTAhcX7+OOP6datG9HR0fj4+BjM2w0wYsQII0UmTI21tTULF84lMDAQjaYzSo3n4ejdocBmFiwIs7gBxCRfhBBCmBsZ1TwLMipl9imlmDJlCu+99x4A/fv3Z9myZdjb2xMZqRvx/N9/oQz/8BV98V/VF/r1M3LUQhgqyDL/2WefMXToUBwcHHB2dkaj0ei3aTQazpw5k6/nf1pSPxa8zOardnf3YsGCDy16yizJl4IhZT77JK+EsCwynVgekIoz5xYvXszw4cPRarU0btyYDRs2ULZsWc6dgy5dFIcO6RoXYzRzeT/iOew6v2LkiIV4qCDLfIUKFRgxYgTjxo3Dysr87viR+tE4tFot0dHRxMfH4+Ligp+fn1zRRfKlIEiZzz7JKyEsizS884BUnLmzdetWunXrRmJiIp6ennz//fd4e3tz5w6MGa34dLGu8d1A8wdr12mo0r2ekSMWQqcgy3zp0qX5/fffqVKlSr6eJzNTp05l2rRpBuvKly/PlStXsn0MqR9NizQ8RX6TMp99klc5I/WXMHcyj7cwmtatW7N3716qVKnC2bNnadiwIeHh4Tg4wCefatjw7X1K2d7gd1WfWj2e5ZNx50lNPy6OEIVcUFAQ69evN9r5a9asSXx8vH6JiYkxWizi6URERODp+QwtWrSgd+/etGjRAk/PZ4iIiDB2aEII8VhSfwlLIw1vkeeqV6/Ovn37aNmyJbdu3SIwMJB3330XrVZL50AbjsTa0MzxELcoTvDsSjRvcJNTp4wdtRAFR6vV8sEHH9CsWTOGDx/OqFGjDJb8ZmNjQ4UKFfRL2bJl8/2cIu9FREQQGBjIxYs+wB7gBrCHS5d8CAwMlC+vQgiTJfWXsETS8Bb5wtnZmZ9//lnfiJg5cyYdOnTgyJEjuFdzYMe5KnzsMYdi3CT6YHGe90ll9WojBy1EAYmJiaFOnTpYWVkRGxvLoUOH9Mvhw4fz/fynTp3C1dUVLy8vevbsafKDuYmMtFotISGjUao9sBFoCBQHGqLURqA9I0eOQavVGjFKIfJHaGgoDRo0oESJEpQrV47OnTtz4sQJgzRKKaZOnYqrqysODg40b96cP//884nHDg8Pp0aNGtjb21OjRg02bNiQXy/DYkn9JSyVNLxFvrGxsWHu3Ll89dVXFClShJ9++onatWvz/PPPM++zZQT+3JFYn960Yit3k6149VXFL78YO2oh8l9kZGSWy44dO/L13C+++CKrVq3i559/Zvny5Vy5cgVfX1+uXr2a5T7JyckkJSUZLMK4oqOjH4zkPYGMH+VWKDWeCxfiiI6OLvjghMhnO3fuZNiwYezdu5etW7dy//592rRpw61bt/RpPvjgA+bNm8fHH3/M77//ToUKFWjdujU3btzI8rh79uyhR48e9OvXjyNHjtCvXz+6d+/Ovn37CuJlWQypv4TFUiJTiYmJClCJiYnGDqVQOHz4sOratauys7NTgAJU0aJF1dLQUKWtVVv1ZZUCpRwdU1VMjLGjFZbIUsv8zZs3Vfny5dXcuXOzTDNlyhR9uX10sbS8MiVr1qx58D7cUKAyWZIUoNasWWPsUEUhYOr1Y0JCggLUzp07lVJKpaamqgoVKqhZs2bp09y9e1c5OTmpJUuWZHmc7t27q5dfftlgnb+/v+rZs2e2YzH1vDIFUn+JwiQnZV6ueIsCUatWLcLCwrhy5QpLly6lQYMG3L59myHjx9PR3o4lpd/Bj19JStLQrh3kYIBlIcxSdHQ0ffv2pVGjRly6dAmA1atXs2vXrgKNo1ixYvj4+HDqMQMtjB8/nsTERP1y4cKFAoxQZMbFxeXBo9gsUsSmSydE4ZWYmAjoZowAiIuL48qVK7Rp00afxt7enmbNmrF79+4sj7Nnzx6DfQD8/f0fu4/IOam/hKWShrcoUKVKleL1119n7969LF68mOLFi/PD/v0MTvqHDXShKic5fx46doS4OGNHK0T+CA8Px9/fHwcHBw4dOkRycjIAN27cYObMmQUaS3JyMsePH3/sFxx7e3scHR0NFmFcfn5+uLl5otHMBNJPDZGKRhOKu7sXfn5+xghPiAKjlGLUqFE0adIEb29vAP30iOXLlzdI+6SpE69cuZLjfeRWnJyT+ktYKml4C6OwsrJi6NCh/Pnnn/j7+7Pu/n2i+I8faEdp6+v8/js88wwEBMCvv+o6HglRWMyYMYMlS5awfPlybG1t9et9fX05ePBgvp57zJgx7Ny5k7i4OPbt20dgYCBJSUkEBQXl63lF3rK2tmbhwrnAZjSazjw6KrDu+WYWLPhQ5sMVhV5wcDBHjx5l7dq1GbZpNBqD50qpDOuedp/Q0FCcnJz0i7u7ew6it0xSfwlLJQ1vYVSVKlXip59+Yt68eYywssKZv9iubU5Lz5OkpsKGDdCsGbRqBTdvGjtaYWqUUty5c4f//vuPS5cucerUKY4ePcq+ffuIjIzkhx9+ICEhwdhhZnDixAmaNm2aYb2joyPXr1/P13NfvHiRXr168eyzzxIQEICdnR179+7Fw8MjX88r8l5AQABhYWFUrBgD+AKOgC9ubrGEhYUREBBg5AiFyF/Dhw9n06ZNREZG4ubmpl9foUIFgAxXqhMSEjJc0X5UhQoVcryP3IqTO1J/CUtkY+wAhNBoNLz11ls8//zzTOzcmU9vHuHHs8+yrulQdrp9wNqIEuzYAV27wvffg52dsSMWj6OU4t69e1y/fp3bt29z+/Zt7ty5w507d7J8/KTnaY/Tp7lz584T4/nhhx945ZVXCuCVZ5+Liwt//fUXnp6eBut37dpF5cqV8/Xc69aty9fji4IVEBBAp06diI6OJj4+HhcXF/z8/ArdlSKtVlvoX6PIPqUUw4cPZ8OGDURFReHl5WWw3cvLiwoVKrB161bq1KkDQEpKCjt37mT27NlZHrdRo0Zs3bqVt956S7/ul19+wdfXN8t97O3tsbe3f8pXZJkspf4SIo00vIXJeOmll6hy9ChRtWvTPCmJoF+XEMgSXqjci1GXVvHLLzYEBcHXX4OV9NXIc2lXjhMTEw0auNevX+fq1atcvXqVa9euZdoITnt87do1/vvvv8dO15JfbGxscHBwoGjRohn+mpohQ4YQEhLCF198gUaj4fLly+zZs4cxY8YwefJkY4cnzIy1tTXNmzc3dhj5JiIigpCQ0Q+mH9Jxc/Nk4cK5clXMQg0bNow1a9bw3XffUaJECf1VaicnJxwcHNBoNIwcOZKZM2dStWpVqlatysyZMylatCi9e/fWH6d///5UrFiR0NBQAEJCQmjatCmzZ8+mU6dOfPfdd2zbtq3AB720JIW9/hLiUSbX8Pb09OTcuXMZ1r/55pt88sknDBgwgC+//NJg24svvsjevXv1z5OTkxkzZgxr167lzp07vPTSS3z66acG3ZCEafL08sLl4kWiQ0Iov3Yt1e7eZeiZtbhylS5sZt06W4oVu8Py5Q484TYti6PVavWN5P/++0/fWE7/OK1hnNZgvn37Nv/991+2rh7nlIODg35Jawg/7vHj0j9pn0fvlTZ1b7/9NomJibRo0YK7d+/StGlT7O3tGTNmDMHBwcYOTwiTERERQWBgIEq1B0o8WN7g0qVvCAwMlC6pFmrx4sUAGRpsK1asYMCAAYCunr1z5w5vvvkm165d48UXX+SXX36hRIkS+vTnz5/H6pFf8n19fVm3bh0TJ05k0qRJVKlShfXr1/Piiy/m+2sSQhR+GqVMa9iqf/75B61Wq38eGxtL69atiYyMpHnz5gwYMIC///6bFStW6NPY2dnpp5AAeOONN/j+++9ZuXIlzs7OjB49mv/++48DBw5ku/tKUlISTk5OJCYmygi+RqJSUzk8fz7Ws2bx/L//spae9EY3eIqPzy6ioupRurSDkaPMW7dv39Y3kh9tND/aeE57ntaVO+2q840bN3ja4mxtbY2Tk5NBw7ZkyZI4Ozvj7OxMqVKlKFasWJaN55IlS1K6dGmcnZ0pWbKkwRcaU1cQZX7gwIEsXLhQ/8Xv9u3bHDt2jNTUVGrUqEHx4sXz5bx5TepHURC0Wi2ens9w8aIPsBH4G/gFaAuUQaPpjJtbLHFxp6Rraj6TMp99kldCWJaclHmTa3inN3LkSDZv3sypU6fQaDQMGDCA69evs3HjxkzTJyYmUrZsWVavXk2PHj0AuHz5Mu7u7vz444/4+/tn67xScZqQ1FRuzpyJw9SpfKp9gxEsAsDO7jTLlyfTv38NIwf40P3797l27Vqmjea0v0lJSQZdtB9Nf/fu3aeOoUSJEvrGr7Ozc6aPS5QoYdAVu1SpUjg7O+Po6PjEEV8Lq4Io89bW1sTHx1OuXLl8OX5BkfpRFISoqChatGiBbsTjhpmk2AP46n+YF/lHynz2SV4JYVlyUuZNrqv5o1JSUvjqq68YNWqUQWMgKiqKcuXKUbJkSZo1a8b777+v/yJ74MAB7t27R5s2bfTpXV1d8fb2Zvfu3Vk2vJOTk/Vz6QIyD6MpsbKi+MSJ8MorDO/Zk2dOtWUgX3AlpQpBQfdYujSKoCBnOnb0okKF7F8xvHfvXrYG9Ep7/Gg37vT3OiclJemvQj8tGxubTBvN6deVLFnS4Kqzk5MTpUqVwk5GnzNZJv47pxAmJT4+/sEj7yxSeKdLJ4QQQpguk254b9y4kevXr+vv1wFo27Yt3bp1w8PDg7i4OCZNmkTLli05cOAA9vb2XLlyBTs7O0qVKmVwrPLly2eYIuJRoaGhTJs2Lb9eisgLdevCwYO0HTmS2M+9eYPFfEt3du9uzu7dMGRIKra2ZylXbjceHp9jZZVCamoqd+/ezXRk7EdvachrTk5O+gZy+sZz2uAvj3bPfjRd8eLFLfaqsyWQ91aI7HFxcXnw6AjwAdAcGAKkDZgYmy6dEEIIYbpMuqu5v78/dnZ2fP/991mmiY+Px8PDg3Xr1hEQEMCaNWt49dVXDa5eA7Ru3ZoqVaqwZMmSTI+T2RVvd3d36SpkqjZtInXwa3zzTwtWMoDDPM/fuD6S4CjQA/hftg6X1aBdmd3rXLp0af29zmnbixcvbnAftDkN9CV0CqJ7oJWVFU5OTk9sfP/333/5cv68Il0pRUF4eI+3K7AbKAkkALZAqtzjXYCkzGef5JUQlqVQdDU/d+4c27ZtIyIi4rHpXFxc8PDw4NSpUwBUqFCBlJQUrl27ZnDVOyEhQeZhLEw6dsTqz0b0fOMNeoa3BeAfyhBJC4aziASex84uhkGDjtK+/d8ULZr1aNn29vZyFVIUmGnTpuHk5GTsMIQwedbW1ixcOJeuXbs+WPMCcBf4A40mFNjMggVh0ugWQghhFky24b1ixQrKlStHu3btHpvu6tWrXLhwQd/VrF69etja2rJ161a6d+8O6K6Kx8bG8sEHH+R73KIAlS0LYWGQlASxsZQ9coTukZE0/bYW/VnF1pQ2LF5cl+3boWtXCAwEHx9kGjJhVD179jT7wdWEKCgBAQG4urpy+fJldCOa664muLl5sWCBTCUmhBDCfJhkwzs1NZUVK1YQFBSEjc3DEG/evMnUqVPp2rUrLi4unD17lgkTJlCmTBm6dOkC6O6tHTRoEKNHj9Z3Cx4zZgw+Pj60atXKWC9J5CdHR/D11S1vvEGFb79ly+AefJj0GlOYxsmTDoSGQmgoeHnpGuCBgdCggTTCRcGSnhWiIGm1WqKjo4mPj8fFxQU/Pz/91eHHbTOm9HGVLVuWy5cvY2try4YNG0hKSjKpeIUQQojsMsmG97Zt2zh//jwDBw40WG9tbU1MTAyrVq3i+vXruLi40KJFC9avX6+fFxdg/vz52NjY0L17d+7cucNLL73EypUr5UPaUnTrhlWDBrzduzdv7CnHD7QjjEB+1LQjLs6BOXNgzhyoVOnhlfCGDcGMppwWZsqEh9QQhUxERAQhIaO5ePGsfp2bmycLF84FyHKbMa8gZxazo2NJAFq2bPnEHnBCCCGEKTPpwdWMSQbHKATu39d1RQ8Lgx9/5NYdDT/RlrDiA9isbcutOw9/iHF1fdgIb9wY5DcayyNlPvskr0xbREQEgYGBKNUemAA8A5xCowlFqe8BDZC2zRuIRaOZCWwmLMw43bczxqyLC/yBJIYOHcrixYsLPC6hI2U++ySvhLAsOSnz0vDOglSchcytW/D99/DOO3D+PHc0Rfk5YAlhdr3ZtNmaGzceJi1fHgICdI3wpk3BxiT7hYi8JmU++ySvTNfDkcB9gI2AFfAasA3oDCwDWgLfPdiWxnijhGceM8BtoBfwAxUrVuTcuTPSc81IpMxnn+SVEJYlJ2VeOtcKy1CsGPTsCUePQv/+OKjbdA7vz1c7K/FPv1Fsnh3LgKBUSpaEv/+GxYvhpZfAxQVeew1+/hlSUoz9IoQQ4vGio6MfdNWewMOP+J3AWWABusZsKnA53Z5WKDWeCxfiiI6OLphgH8g8ZtDN1/0dsJVLl84XeFxCCCFEXpKGt7AsTk7w5Ze67udly8Lly9h/Op927/iw4hc3/g79gi0/KQYPBmdn+Pdf+OwzePllKFNGdxV8xQq4csXYL0QIITKKj49/8Mj7kbWH0F1Jrv3g+Y/As8CnwKOd3rzTHaNgZB7zo+qnSyeEEEKYH2l4C8vUtSucP6/rfh4UBCVLQnw8dm8Mwv/TTiyf8TdXrsC2bTB0KJQrBzduQHg4DByouxLepAnMn687jBBCmIK0qTV190enKQZ0AuY/eP48uivfw4D3H0kXm+4YBSPzmE8CpwzWF3RcQgghRF6Se7yzIPfoWJiUFPjoI3j3Xd3jMmVg0SJdA93WltRU+OMP+PFH+OEH3eNH1a8P7dvDK69AvXoyQro5kjKffZJXpivtfulLl3xQaiOGv6/fA0oDTdENWjYX+B0ohync420Yc09gPfAhGs1Oo8QlHpIyn32SV0JYFrnHW4icsrODMWN0LepatXR9zHv1ggoVYNAgrH7+iRfq3GPqVPj9d7h4UddOb9pUNxf4H3/A1Knwwgu6EdJffRW+/RYSE439woQQlsTa2vrBlGGb0Wg6A3uAG8AeNJquwE3gJzSabcAqwOHBts4o9T0LFnxY4I3bjDH/CEQ82LoJ2GyUuIQQQoi8JA1vIR7l4wP79sHEibp7wP/7D774Qncp29sbfvsNgIoVYfhw2LkTLl+Gzz/XjYReooRucLaVK6F7d92F8+bNdfOGHzsG0r9ECJHfAgICCAsLo2LFGMAXcAR8cXOLJTw8nPDwtG3N9dtKldqDlZUVly5dMoGY26G7Og/u7heMNsWZEEIIkZekq3kWpKuQQKuF6GjdQGzr1+uugms0MGIEvP++bqT0dFJSYNcuXXf0H36AEycMt3t66rqkBwbq7hGXCzimQ8p89klemQetVkt0dDTx8fG4uLjg5+env2qcfltERASLFi0CoHfv3rRr1w5XV1f9Po87Vl66c+cOHh4e/PPPP4wdO5bQ0FC50m0CpMxnn+SVEJZF5vHOA1JxCgPXr8Po0bqr3wBeXrrhzZs1e+xup08/vC88KgqSkx9uK1dOd5W8UyfdVfEiRfIreJEdUuazT/Kq8FFK0adPH9auXWuw3s3Nk169urF27bcPpvx6uH7hwrl5fiV61apVBAUFUaFCBc6ePYu9vX2eHl/kjpT57JO8EsKyyD3eQuS1kiV1/cl//hkqVYK4OGjRAsaOhbt3s9ytShVdl/QtW+DqVdi0SXf/d6lSkJAAS5ZA27ZQujR06KB7LqOkCyEK2oYNG1i3bh26Ec/Tvho04+LF0syZM4eLF7159H7xS5d8CAwMJCIiIqtD5lhqaipz5swBYOTIkdLoFo/166+/0qFDB1xdXdFoNGzcuNFgu0ajyXRJ+x/LzMqVKzPd5+5jPueFECK7pOEtRE60aQOxsTB4sO6G7Q8/hAYN4MCBJ+5arJiucf3FF7r7wH/+GV5/XXe/+J07sHkzvPEGeHjobjUfNw5+/RXu3y+A1yWEsFharZaQkNEo1R7dnN9hgB2wEzgGvAJ8BzQEigMNH4w+3p6RI8eg1WrzJI5z587x77//UqJECYYMGZInxxSF161bt6hVqxYff/xxptvj4+MNli+++AKNRkPXrl0fe1xHR8cM+xaRLmmFmlarJSoqirVr1xIVFZVndZowT/n5/2CTZ0cSwlKUKAHLl+ta0a+9pmuI168P1arpBmFr10433LmdXZaHsLXVteHbtNG1348efdglfc8e3SFjY2H2bN3Fdn9/3aHbttWN+SaEEHklOjr6QTfyteh+j+8C/AS0B+4Ak8j4O70VSo3nwgVfoqOjad68+VPH4eXlxV9//cXBgwcpWbLkUx9PFG5t27albdu2WW6vUKGCwfPvvvuOFi1aULly5cceV6PRZNhXFF4RERGEhIwukFtphOnL7/8HueItRG517AgxMdCjB9jYwMmTsGABtG4Nzs7QpQt89plu2PPH0Gh0M5iNH68bmC0hAdasgT59dIe5fl03tltQEJQvDy++CNOn6y6yywgNQoinFR8f/+CR9yNrWwKzMln/KO90+z+9YsWK4efnl2fHEwLg77//5ocffmDQoEFPTHvz5k08PDxwc3Ojffv2HDp0qAAiFMYQERFBYGAgFy/6kN+30gjTVxD/D9LwFuJplCsH69bpRjwPC9PdwF2+PNy8CRs36q6Iu7lBSAjcupWtQzo766YQ/+orXZf03bvh3Xehdm1dQ3v/fpgyRXeR3ctLN/343r2Qmpqvr1QIUUi5uLg8eBSbbsvzj6y/BfQCTj6yPTbd/rlz6dIlli1bRqpUYiKffPnll5QoUeKJV6yqV6/OypUr2bRpE2vXrqVIkSI0btyYU6dOZblPcnIySUlJBoswfYa32Gwkv2+lEaatwP4flMhUYmKiAlRiYqKxQxHmRqtV6o8/lJo2TakXXlBK115WystLqe3bn+rQFy8qtXy5Up07K1W06MNDg1IuLkoNGqRURIRSSUl59FosiJT57JO8Klzu37+v3Nw8lUbTQYH2kXrlvgJPBe0VDFWAgrIKDijQKo2mg3J391L379/P9blTU1NVp06dFKCGDx+eh69K5CVTL/OA2rBhQ5bbn332WRUcHJzj42q1WlWrVq3H/m9OmTLlQdkwXEw1r4ROZGTkg/dqj8F3qYfLbgWoyMhIY4cqCsDT/D/kpH6UK95C5DUrK6hXDyZPhn37dEOau7vrRkJ/6SXo2xe2boV793J86IoVdeO6bdgA//wDERHQu7futvP4eN3A6wEBuqvmrVrBvHm6ucSV0l0Rv34dzpzJ9sV3IYQFsLa2ZuHCucBmNJrOPOxitx8oA2wGTgPPAv8AfkATYDMLFnz4VPNsf/bZZ3z33XfY2Njw+uuvP90LESIT0dHRnDhxgsGDB+d4XysrKxo0aPDYK97jx48nMTFRv1y4cOFpwhUFJPNbbB6V97fSCNNVUP8P0vAWIr/5++tGSnvjDd3zr7/WjapWoQIMGqSbY+zmzRwftmhR3W3kX3+ta4T/8ouuR/szz+ja9Nu366Yer15dN32ZnZ3ub5UqUKaMroG+Zg1IrzghREBAAGFhYVSsGAP4Ao6AL+7uVxk7dixubqeAEw9S3wb28Prrr9OlS5dcn3P//v0EBwcD8N577+HtndUXHiFy7/PPP6devXrUqlUrx/sqpTh8+PBjb6ewt7fH0dHRYBGmL+tbbDBY/7S30gjzUFD/DxqlZHimzORkMnQhsm3vXli5Unep+p9/Hq63s4PmzXUDtg0cCA4OT3WakycfjpK+c6fhxXV7e0hOznjqtAHZn3nmqU5ttqTMZ5/kVeGl1WqJjo4mPj4eFxcX/Pz8sLa21q8/d+4cn3/+OdHR0QD079+fjz76iEOHDmW5T/r1ADExMTRp0oSkpCR8fX2JiorC1tbWmC9dPIYplvmbN2/y119/AVCnTh3mzZtHixYtKF26NJUqVQJ0cbu4uDB37lyGDh2a4Rj9+/enYsWKhIaGAjBt2jQaNmxI1apVSUpK4qOPPmL16tX89ttvvPDCC9mKyxTzSmSk1Wrx9HyGS5d8HtzD++i1yFQ0ms64ucUSF3fqqXr1mJPH1dmF3dP8P+SozOd1H/nCwtTvZxJm7t49pSIjlQoOVsrT0/BGkmefVWrXrjw7VVKSUrGxSl26pNSdO0qlpip1+LBSEycqVb16xvtYnn1WqQkTlDp4UJfWUkiZzz7JK8uWmpqqZs+eraysrFTp0qWVq2slg3tb3dw81dixY5Wbm2eG9eHh4So0NFRZWVlluk2YJlMs8w/vyTRcgoKC9GmWLl2qHBwc1PXr1zM9RrNmzQzSjxw5UlWqVEnZ2dmpsmXLqjZt2qjdu3fnKC5TzCuRufDwcKXRaB6Mb7FbQZKC3Uqj6aA0Go1F1Unh4eFZ1tmWIrf/Dzkp89LwzoJUnKLApKYqdeyYUnPm6EZIA6U0GqVCQpS6eTPfT3/8uFJz5yrVsqVSNjaGjXAvL6XeekupbduUSk7O91CMSsp89kleCaWUmj59+oMvaB0eDEjzn4LlCuo9WN/+wfobCvY8+DKT9qVOo+A5BWf12yzti645kTKffZJX5iWzBqe7u5dF1UVpDc6HdfkNi62Xc/P/kJMyL13NsyBdhYRRXLumuzF7xQrd89Kl4eWXdX3A/f11o6blo6QkXRf1sDDd3zt3Hm4rXhyaNdN1Tb9zB27f1v0ND9eNHWfupMxnn+SVSOuWp5vvdCO6bnlfAIMAW8AdmAiUBK4CZ4BpQGmgOfAq8DJQ9MERLbNrp7mQMp99klfmR7pYp6/L01hmvZzT/4eclHlpeGdBKk5hVD//DEOGwLlzD9dZWUHXrvDNNwUSwq1b8NNPuvvEf/wREhIyTxcTA4VhTCQp89kneSWioqJo0aIFuhHQGz5YOwWYBaRksdfXQJ90+zxqD+BLZGQkzZs3z9uAxVORMp99klfCnGRelz9K6uUnyUmZN7lRzT09PdFoNBmWYcOGce/ePd555x18fHwoVqwYrq6u9O/fn8uXLxsco3nz5hn279mzp5FekRC54O8Pf/0Fv/4K77wDPj66+cBKly6wEIoVg8BA3cX3+Hj4/XdYtAg+/VQ3Ptz69fD99/BgDBshhAXJfOqVacCnDx6/DrQCGqG7sj0K3ZXv9Ps8SqbvEUKIgiTTqhUsG2MHkN7vv/+OVqvVP4+NjaV169Z069aN27dvc/DgQSZNmkStWrW4du0aI0eOpGPHjvzxxx8Gx3nttdeYPn26/rnDU44SLUSBs7EBPz/dMmsWnD+va3wbgZUV1K+vW4QQwnDqlUevklR58PdVMl49icpiHx5ZL9P3CCFEQcm6LueR9VIv5xWTa3iXLVvW4PmsWbOoUqUKzZo1Q6PRsHXrVoPtixYt4oUXXuD8+fP66SMAihYtSoUKFQokZiEKhFxaFkKYCD8/P9zcPLl0aWa6qVf8AE/gfeA7DDvWNQaKAzOATWS8lzAUNzcv/Pz88jt8IYQQPK4uB6mX857JdTV/VEpKCl999RUDBw5Eo9FkmiYxMRGNRkPJkiUN1n/99deUKVOGmjVrMmbMGG7cuFEAEQshhBCFn7W1NQsXzgU2o9F0Rncf4A1gP1AG2Ax0emT9HjSarsBN4Md0++x58HwzCxZ8aDED+AghhLFlXZdLvZwfTLrhvXHjRq5fv86AAQMy3X737l3GjRtH7969DW5m79OnD2vXriUqKopJkyYRHh5OQEDAY8+VnJxMUlKSwSKEEEKIzAUEBBAWFkbFijGAL+AI+OLufpWxY8fi5hZrsN7NLZbw8HDCwzPu4+YWS1hY2BM/q4UQQuStrOpyqZfznkmPau7v74+dnR3ff/99hm337t2jW7dunD9/nqioqMeOInfgwAHq16/PgQMHqFu3bqZppk6dyrRp0zKsl1EphbAMMhJt9kleiUdlNfXK46ZkseTpe8yRlPnsk7wS5krq5dwpFNOJnTt3jsqVKxMREUGnTp0Mtt27d4/u3btz5swZduzYgfMT5jZWSmFvb8/q1avp0aNHpmmSk5NJTk7WP09KSsLd3V0qTiEshKV9Wfr000+ZM2cO8fHx1KxZkwULFmT7Hi5LyyshLJ2U+eyTvBLCspj1dGJpVqxYQbly5WjXrp3B+rRG96lTp9i2bdsTG90Af/75J/fu3XvsiHz29vY4OjoaLEIIURitX7+ekSNH8u6773Lo0CH8/Pxo27Yt58+fN3ZoQgghhBCFkkk2vFNTU1mxYgVBQUHY2DwceP3+/fsEBgbyxx9/8PXXX6PVarly5QpXrlwhJSUFgNOnTzN9+nT++OMPzp49y48//ki3bt2oU6cOjRs3NtZLEkIIkzFv3jwGDRrE4MGDee6551iwYAHu7u4sXrzY2KEJIYQQQhRKJjedGMC2bds4f/48AwcONFh/8eJFNm3aBEDt2rUNtkVGRtK8eXPs7OzYvn07Cxcu5ObNm7i7u9OuXTumTJki9ykIISxeSkoKBw4cYNy4cQbr27Rpw+7duzPdJ7NbcYQQQgghRPaZZMO7TZs2ZHbruaenZ6brH+Xu7s7OnTvzKzQhhDBr//77L1qtlvLlyxusL1++PFeuXMl0n9DQ0EwHnxRCCCGEENljkg1vU5DWwJcrO0JYhrSybqLjTeY5jUZj8FwplWFdmvHjxzNq1Cj988TERCpVqiT1oxAWwtLqx6ch3x+FsCw5qR+l4Z2FGzduALor6EIIy3Hjxg2cnJyMHUa+KVOmDNbW1hmubickJGS4Cp7G3t4ee3t7/fO0DxmpH4WwLIW9fswL8v1RCMuUnfpRGt5ZcHV15cKFC5QoUSLLq0CmLG06tAsXLpjlCO0Sv/GZ+2vIafxKKW7cuIGrq2sBRGc8dnZ21KtXj61bt9KlSxf9+q1bt2aYujErplg/msv/q8SZ98wlVnOO01Lqx7xgivXj45jL/2V+k3zQkXzQyUk+5KR+lIZ3FqysrHBzczN2GE/N3KdGk/iNz9xfQ07it5QrOaNGjaJfv37Ur1+fRo0asWzZMs6fP8/QoUOztb8p14/m8v8qceY9c4nVXOO0lPrxaZly/fg45vJ/md8kH3QkH3Symw/ZrR+l4S2EEBamR48eXL16lenTpxMfH4+3tzc//vgjHh4exg5NCCGEEKJQkoa3EEJYoDfffJM333zT2GEIIYQQQlgEK2MHIPKHvb09U6ZMMRgQyZxI/MZn7q/B3OMXOWMu77fEmffMJVaJU5gieb91JB90JB908isfNErmhhBCCCGEEEIIIfKNXPEWQgghhBBCCCHykTS8hRBCCCGEEEKIfCQNbyGEEEIIIYQQIh9Jw9uE/frrr3To0AFXV1c0Gg0bN2402K6UYurUqbi6uuLg4EDz5s35888/DdIkJyczfPhwypQpQ7FixejYsSMXL140SHPt2jX69euHk5MTTk5O9OvXj+vXrz9V7KGhoTRo0IASJUpQrlw5OnfuzIkTJ8wmfoDFixfz/PPP6+fwa9SoET/99JPZxJ9eaGgoGo2GkSNHms1rmDp1KhqNxmCpUKGC2cQvcsZc6rwnxTlgwIAM/7cNGzYs8DjNpR7OTpymkKfm9JnwpFhNIT+FcWWn3FmazL4nWYpLly7Rt29fnJ2dKVq0KLVr1+bAgQPGDqtA3b9/n4kTJ+Ll5YWDgwOVK1dm+vTppKam5t1JlDBZP/74o3r33XdVeHi4AtSGDRsMts+aNUuVKFFChYeHq5iYGNWjRw/l4uKikpKS9GmGDh2qKlasqLZu3aoOHjyoWrRooWrVqqXu37+vT/Pyyy8rb29vtXv3brV7927l7e2t2rdv/1Sx+/v7qxUrVqjY2Fh1+PBh1a5dO1WpUiV18+ZNs4hfKaU2bdqkfvjhB3XixAl14sQJNWHCBGVra6tiY2PNIv5H7d+/X3l6eqrnn39ehYSE6Neb+muYMmWKqlmzpoqPj9cvCQkJZhO/yBlzqfOeFGdQUJB6+eWXDf5vr169apCmIOI0l3o4O3GaQp6a02fCk2I1hfwUxpWdcmdJsvqeZAn+++8/5eHhoQYMGKD27dun4uLi1LZt29Rff/1l7NAK1IwZM5Szs7PavHmziouLU99++60qXry4WrBgQZ6dQxreZiL9l7vU1FRVoUIFNWvWLP26u3fvKicnJ7VkyRKllFLXr19Xtra2at26dfo0ly5dUlZWVmrLli1KKaWOHTumALV37159mj179ihA/e9//8uz+BMSEhSgdu7caZbxpylVqpT67LPPzCr+GzduqKpVq6qtW7eqZs2a6T9QzOE1TJkyRdWqVSvTbeYQv8g9c6nzsmp4d+rUKct9jPV/aS71cPo4lTLdPDWnz4S0WJUy3fwUxpNZubMUWX1PshTvvPOOatKkibHDMLp27dqpgQMHGqwLCAhQffv2zbNzSFdzMxUXF8eVK1do06aNfp29vT3NmjVj9+7dABw4cIB79+4ZpHF1dcXb21ufZs+ePTg5OfHiiy/q0zRs2BAnJyd9mryQmJgIQOnSpc0yfq1Wy7p167h16xaNGjUyq/iHDRtGu3btaNWqlcF6c3kNp06dwtXVFS8vL3r27MmZM2fMKn6RN8zt/Y6KiqJcuXJUq1aN1157jYSEBP02Y8VpLvVw+jjTmFKemtNnQvpY05hSfgrjy6rcWYKsvidZik2bNlG/fn26detGuXLlqFOnDsuXLzd2WAWuSZMmbN++nZMnTwJw5MgRdu3axSuvvJJn57DJsyOJAnXlyhUAypcvb7C+fPnynDt3Tp/Gzs6OUqVKZUiTtv+VK1coV65chuOXK1dOn+ZpKaUYNWoUTZo0wdvb26zij4mJoVGjRty9e5fixYuzYcMGatSoof9SYerxr1u3joMHD/L7779n2GYO78GLL77IqlWrqFatGn///TczZszA19eXP//80yziF3nHnN7vtm3b0q1bNzw8PIiLi2PSpEm0bNmSAwcOYG9vb5Q4zaUezixOMJ08NafPhKxiBdPJT2Easip3luBx35MsxZkzZ1i8eDGjRo1iwoQJ7N+/nxEjRmBvb0///v2NHV6Beeedd0hMTKR69epYW1uj1Wp5//336dWrV56dQxreZk6j0Rg8V0plWJde+jSZpc/OcbIrODiYo0ePsmvXrgzbTD3+Z599lsOHD3P9+nXCw8MJCgpi586dWZ7blOK/cOECISEh/PLLLxQpUiTLdKb8Gtq2bat/7OPjQ6NGjahSpQpffvmlfiAgU45f5D1zeL979Oihf+zt7U39+vXx8PDghx9+ICAgwChxmks9nFWcppKn5vSZkFWsNWrUMJn8FKbhcfVDYZbd70mFXWpqKvXr12fmzJkA1KlThz///JPFixdbVMN7/fr1fPXVV6xZs4aaNWty+PBhRo4ciaurK0FBQXlyDulqbqbSRnZO/6tyQkKC/hf3ChUqkJKSwrVr1x6b5u+//85w/H/++SfDL/e5MXz4cDZt2kRkZCRubm5mF7+dnR3PPPMM9evXJzQ0lFq1arFw4UKziP/AgQMkJCRQr149bGxssLGxYefOnXz00UfY2Njoj2/KryG9YsWK4ePjw6lTp8ziPRB5x5zfbxcXFzw8PDh16pRR4jSXejirODNjrDw1p8+ErGLNjLH/R4Xx5KTcFTZP+p6k1WqNHWKBcHFx0feGSfPcc89x/vx5I0VkHGPHjmXcuHH07NkTHx8f+vXrx1tvvUVoaGienUMa3mbKy8uLChUqsHXrVv26lJQUdu7cia+vLwD16tXD1tbWIE18fDyxsbH6NI0aNSIxMZH9+/fr0+zbt4/ExER9mtxQShEcHExERAQ7duzAy8vLrOJ/3OtKTk42i/hfeuklYmJiOHz4sH6pX78+ffr04fDhw1SuXNnkX0N6ycnJHD9+HBcXF7N4D0TeMef3++rVq1y4cAEXF5cCjdNc6uEnxZkZY+VpZrGby2dCWqyZMZX8FAUnN+WusHnS9yRra2tjh1ggGjdunGEquZMnT+Lh4WGkiIzj9u3bWFkZNo2tra1lOjFLcePGDXXo0CF16NAhBah58+apQ4cOqXPnzimldFOXODk5qYiICBUTE6N69eqV6dQlbm5uatu2bergwYOqZcuWmU4H8vzzz6s9e/aoPXv2KB8fn6eeDuSNN95QTk5OKioqymC6ktu3b+vTmHL8Sik1fvx49euvv6q4uDh19OhRNWHCBGVlZaV++eUXs4g/M+lH6zT11zB69GgVFRWlzpw5o/bu3avat2+vSpQooc6ePWsW8YucMZc673Fx3rhxQ40ePVrt3r1bxcXFqcjISNWoUSNVsWLFAo/TXOrhJ8VpKnlqTp8Jj4vVVPJTGFd26gdLZImjmu/fv1/Z2Nio999/X506dUp9/fXXqmjRouqrr74ydmgFKigoSFWsWFE/nVhERIQqU6aMevvtt/PsHNLwNmGRkZEKyLAEBQUppXRTwUyZMkVVqFBB2dvbq6ZNm6qYmBiDY9y5c0cFBwer0qVLKwcHB9W+fXt1/vx5gzRXr15Vffr0USVKlFAlSpRQffr0UdeuXXuq2DOLG1ArVqzQpzHl+JVSauDAgcrDw0PZ2dmpsmXLqpdeekn/Bcsc4s9M+g8UU38NafPg2traKldXVxUQEKD+/PNPs4lf5Iy51HmPi/P27duqTZs2qmzZssrW1lZVqlRJBQUFZYihIOI0l3r4SXGaSp6a02fC42I1lfwUxpWd+sESWWLDWymlvv/+e+Xt7a3s7e1V9erV1bJly4wdUoFLSkpSISEhqlKlSqpIkSKqcuXK6t1331XJycl5dg6NUkrl3fVzIYQQQgghhBBCPEru8RZCCCGEEEIIIfKRNLyFEEIIIYQQQoh8JA1vIYQQQgghhBAiH0nDWwghhBBCCCGEyEfS8BZCCCGEEEIIIfKRNLyFEEIIIYQQQoh8JA1vIYQQQgghhBAiH0nDWwghhBBCCCGEyEfS8BZCCCGEEEKYtLNnz6LRaDh8+LCxQ9H73//+R8OGDSlSpAi1a9c2djjCxEnDW4h88Pnnn9OmTRv98wEDBtC5c+d8OdfmzZupU6cOqamp+XJ8IYTIa1JHCmF+BgwYgEajYdasWQbrN27ciEajMVJUxjVlyhSKFSvGiRMn2L59u7HDESZOGt4iz6VVzBqNBltbWypXrsyYMWO4deuWsUMrEMnJyUyePJlJkyYVyPnat2+PRqNhzZo1BXI+IcTTkTpS6kghzFWRIkWYPXs2165dM3YoeSYlJSXX+54+fZomTZrg4eGBs7OzScQkTJc0vEW+ePnll4mPj+fMmTPMmDGDTz/9lDFjxmSa9t69ewUc3ZM9TUzh4eEUL14cPz+/PIwoc2lxvvrqqyxatCjfzyeEyBtSR0odKYQ5atWqFRUqVCA0NDTLNFOnTs3Q7XrBggV4enrqn6f1cpk5cybly5enZMmSTJs2jfv37zN27FhKly6Nm5sbX3zxRYbj/+9//8PX15ciRYpQs2ZNoqKiDLYfO3aMV155heLFi1O+fHn69evHv//+q9/evHlzgoODGTVqFGXKlKF169aZvo7U1FSmT5+Om5sb9vb21K5dmy1btui3azQaDhw4wPTp09FoNEydOjXT46SdLzg4mJIlS+Ls7MzEiRNRSunTeHp6MmPGDAYMGICTkxOvvfYaoKsva9asib29PZ6ensydO9fg2MnJybz99tu4u7tjb29P1apV+fzzz7OdF2FhYfj4+ODg4ICzszOtWrXS/wgcFRXFCy+8QLFixShZsiSNGzfm3Llz+n2///576tWrR5EiRahcubL+/UszdepUKlWqhL29Pa6urowYMSLT/LEk0vAW+cLe3p4KFSrg7u5O79696dOnDxs3bgQeVshffPEFlStXxt7eHqUUiYmJvP7665QrVw5HR0datmzJkSNH9Mc8cuQILVq0oESJEjg6OlKvXj3++OMPAM6dO0eHDh0oVaoUxYoVo2bNmvz4448ArFy5kpIlSxrEl75bVG5jysy6devo2LFjptumTZumP9aQIUMMftHcsmULTZo00VfK7du35/Tp0/rtafc2ffPNNzRv3pwiRYrw1VdfAdCxY0f279/PmTNnnvDOCCFMgdSRUkcKYY6sra2ZOXMmixYt4uLFi091rB07dnD58mV+/fVX5s2bx9SpU2nfvj2lSpVi3759DB06lKFDh3LhwgWD/caOHcvo0aM5dOgQvr6+dOzYkatXrwIQHx9Ps2bNqF27Nn/88Qdbtmzh77//pnv37gbH+PLLL7GxseG3335j6dKlmca3cOFC5s6dy4cffsjRo0fx9/enY8eOnDp1Sn+umjVrMnr0aOLj47P88fTR8+3bt4+PPvqI+fPn89lnnxmkmTNnDt7e3hw4cIBJkyZx4MABunfvTs+ePYmJiWHq1KlMmjSJlStX6vfp378/69at46OPPuL48eMsWbKE4sWLZysv4uPj6dWrFwMHDuT48eNERUUREBCAUor79+/TuXNnmjVrxtGjR9mzZw+vv/66/nPh559/pm/fvowYMYJjx46xdOlSVq5cyfvvvw/oGvTz589n6dKlnDp1io0bN+Lj4/PY/weLoITIY0FBQapTp04G64YPH66cnZ2VUkpNmTJFFStWTPn7+6uDBw+qI0eOqNTUVNW4cWPVoUMH9fvvv6uTJ0+q0aNHK2dnZ3X16lWllFI1a9ZUffv2VcePH1cnT55U33zzjTp8+LBSSql27dqp1q1bq6NHj6rTp0+r77//Xu3cuVMppdSKFSuUk5OTQTwbNmxQj/775zamzJQsWVKtW7cuQ54UL15c9ejRQ8XGxqrNmzersmXLqgkTJujThIWFqfDwcHXy5El16NAh1aFDB+Xj46O0Wq1SSqm4uDgFKE9PTxUeHq7OnDmjLl26pN+/XLlyauXKldl5i4QQRiR1pNSRQpijR+uuhg0bqoEDByqlMq8vatWqZbDv/PnzlYeHh8GxPDw89OVXKaWeffZZ5efnp39+//59VaxYMbV27Vql1MMyPmvWLH2ae/fuKTc3NzV79myllFKTJk1Sbdq0MTj3hQsXFKBOnDihlFKqWbNmqnbt2k98va6urur99983WNegQQP15ptv6p/XqlVLTZky5bHHadasmXruuedUamqqft0777yjnnvuOf1zDw8P1blzZ4P9evfurVq3bm2wbuzYsapGjRpKKaVOnDihALV169ZMz/ukvDhw4IAC1NmzZzPse/XqVQWoqKioTI/t5+enZs6cabBu9erVysXFRSml1Ny5c1W1atVUSkpKpvtbKhsjtfeFBdm/fz9r1qzhpZde0q9LSUlh9erVlC1bFtD96hkTE0NCQgL29vYAfPjhh2zcuJGwsDBef/11zp8/z9ixY6levToAVatW1R/v/PnzdO3aVf9rWuXKlXMcZ25iSu/69etcv34dV1fXDNvs7Oz44osvKFq0KDVr1mT69OmMHTuW9957DysrK7p27WqQ/vPPP6dcuXIcO3YMb29v/fqRI0cSEBCQ4fgVK1bk7NmzOX7dQgjjkjpSR+pIIczH7NmzadmyJaNHj871MWrWrImV1cPOt+XLlzcoy9bW1jg7O5OQkGCwX6NGjfSPbWxsqF+/PsePHwfgwIEDREZG6q/6Pur06dNUq1YNgPr16z82tqSkJC5fvkzjxo0N1jdu3PiJvXoy07BhQ4NeRI0aNWLu3LlotVqsra0zjen48eN06tQpw/kXLFiAVqvl8OHDWFtb06xZs0zP+aS8aNOmDS+99BI+Pj74+/vTpk0bAgMDKVWqFKVLl2bAgAH4+/vTunVrWrVqRffu3XFxcdEf+/fff9df4QbQarXcvXuX27dv061bNxYsWEDlypV5+eWXeeWVV+jQoQM2Npbd9JSu5iJfbN68meLFi1OkSBEaNWpE06ZNDe6v8/Dw0H95A10BvnnzJs7OzhQvXly/xMXF6bsSjho1isGDB9OqVStmzZpl0MVwxIgRzJgxg8aNGzNlyhSOHj2a45hzE1N6d+7cAXSDj6RXq1YtihYtqn/eqFEjbt68qe9Cdfr0aXr37k3lypVxdHTEy8sL0H1hflRWHxYODg7cvn07B69YCGEsUkdKHSmEOWvatCn+/v5MmDAhwzYrKyuD+5ch83EhbG1tDZ6nDTiZfl12ZiRIa9SmpqbSoUMHDh8+bLCcOnWKpk2b6tMXK1bsicd89LhplFL5NoJ7+pgyO9ej+erg4PDY4z0pL6ytrdm6dSs//fQTNWrUYNGiRTz77LPExcUBsGLFCvbs2YOvry/r16+nWrVq7N27V3/sadOmGRw3JiaGU6dOUaRIEdzd3Tlx4gSffPIJDg4OvPnmmzRt2tQkxywpSJb9s4PINy1atGDx4sXY2tri6uqaoSJNX7mkpqbi4uKSYYAMQH/v4dSpU+nduzc//PADP/30E1OmTGHdunV06dKFwYMH4+/vzw8//MAvv/xCaGgoc+fOZfjw4dn+AMhNTOk5Ozuj0WhyNNpnWqXaoUMH3N3dWb58Oa6urqSmpuLt7Z1hZMusPiz+++8/gy/FQgjTJXWk1JFCmLtZs2ZRu3Zt/VXkNGXLluXKlSsGDce8nHt77969+kb0/fv3OXDgAMHBwQDUrVuX8PBwPD09n+rqqqOjI66uruzatcugwb57925eeOGFXMWc/nnVqlX1V7szU6NGDXbt2mWwbvfu3VSrVg1ra2t8fHxITU1l586dtGrVKsP+2ckLjUZD48aNady4MZMnT8bDw4MNGzYwatQoAOrUqUOdOnUYP348jRo1Ys2aNTRs2JC6dety4sQJnnnmmSzjd3BwoGPHjnTs2JFhw4ZRvXp1YmJiqFu3bpb7FHbS8Bb5olixYo8tjOnVrVuXK1euYGNjYzDqZXrVqlWjWrVqvPXWW/Tq1YsVK1bQpUsXANzd3fUDcYwfP57ly5czfPhwypYty40bN7h165b+C1l2PgCyG9Oj7OzsqFGjBseOHTOYoxZ0Ax/duXNH/wvl3r17KV68OG5ubly9epXjx4+zdOlS/Ui/6Svbx7l79y6nT5+mTp062d5HCGE8UkdKHSmEufPx8aFPnz4ZZgxo3rw5//zzDx988AGBgYFs2bKFn376CUdHxzw57yeffELVqlV57rnnmD9/PteuXWPgwIEADBs2jOXLl9OrVy/Gjh1LmTJl+Ouvv1i3bh3Lly9/bEM3vbFjxzJlyhSqVKlC7dq1WbFiBYcPH+brr7/OccwXLlxg1KhRDBkyhIMHD7Jo0aIMI5SnN3r0aBo0aMB7771Hjx492LNnDx9//DGffvopoBsJPSgoiIEDB/LRRx9Rq1Ytzp07R0JCAt27d39iXvzxxx9s376dNm3aUK5cOfbt28c///zDc889R1xcHMuWLaNjx464urpy4sQJTp48Sf/+/QGYPHky7du3x93dnW7dumFlZcXRo0eJiYlhxowZrFy5Eq1Wy4svvkjRokVZvXo1Dg4OeHh45DjvChPpai5MQqtWrWjUqBGdO3fm559/5uzZs+zevZuJEyfyxx9/cOfOHYKDg4mKiuLcuXP89ttv/P777zz33HOA7p6+n3/+mbi4OA4ePMiOHTv029IK/YQJE/jrr79Ys2aNwYiQuY0pK/7+/pl+IUxJSWHQoEEcO3ZMfzUqODgYKysrSpUqhbOzM8uWLeOvv/5ix44d+l8bs2Pv3r3Y29sb3PckhCg8pI6UOlIIU/Tee+9l6DHz3HPP8emnn/LJJ59Qq1Yt9u/f/9gRv3Nq1qxZzJ49m1q1ahEdHc13331HmTJlAHB1deW3335Dq9Xi7++Pt7c3ISEhODk5GdxPnh0jRoxg9OjRjB49Gh8fH7Zs2cKmTZsMxs/Irv79+3Pnzh1eeOEFhg0bxvDhwzMdB+NRdevW5ZtvvmHdunV4e3szefJkpk+fzoABA/RpFi9eTGBgIG+++SbVq1fntdde008H9qS8cHR05Ndff+WVV16hWrVqTJw4kblz59K2bVuKFi3K//73P7p27Uq1atV4/fXXCQ4OZsiQIYCuHt+8eTNbt26lQYMGNGzYkHnz5ukb1iVLlmT58uU0btyY559/nu3bt/P999/n6VznZsl447qJwiqzEXsfldlol0oplZSUpIYPH65cXV2Vra2tcnd3V3369FHnz59XycnJqmfPnsrd3V3Z2dkpV1dXFRwcrO7cuaOUUio4OFhVqVJF2dvbq7Jly6p+/fqpf//9V3/sDRs2qGeeeUYVKVJEtW/fXi1btuyJI3A+KaasHD9+XDk4OKjr169nyJPJkycrZ2dnVbx4cTV48GB19+5dfZqtW7eq5557Ttnb26vnn39eRUVFKUBt2LBBKfVwNM9Dhw5lOOfrr7+uhgwZkmVMQgjTIXWk1JFCCMvRrFkzFRISYuwwhAnQKJXuZyohxFPr3r27/p6Y/PbPP/9QvXp1/vjjD/1gQ0IIYcqkjhRCWIrmzZtTu3ZtFixYYOxQhJFJV3Mh8sGcOXMynb4hP8TFxfHpp5/KF0ohhNmQOlIIIYSlkSveQgghhBBCCCFEPpIr3kIIIYQQQgghRD6ShrcQQgghhBBCCJGPpOEthBBCCCGEEELkI2l4CyGEEEIIIYQQ+Uga3kIIIYQQQgghRD6ShrcQQgghhBBCCJGPpOEthBBCCCGEEELkI2l4CyGEEEIIIYQQ+Uga3kIIIYQQQgghRD76P1TD3XfcEFh1AAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, a = plt.subplots(1,3, figsize = (10,3.5))\n", "a[0].set_title('Saturation Temperatures')\n", "a[1].set_title('Temperature residuals')\n", "a[2].set_title('Calculation time')\n", "\n", "a[0].plot(minimum['Output']['P_bar'], minimum['Output']['quartz1'], '-k', label = 'Quartz')\n", "a[0].plot(minimum['Output']['P_bar'], minimum['Output']['plagioclase1'], '-r', label = 'Plagioclase')\n", "a[0].plot(minimum['Output']['P_bar'], minimum['Output']['alkali-feldspar1'], '-b', label = 'Alkali Feldspar')\n", "a[0].legend()\n", "a[0].set_xlabel('Pressure (bar)')\n", "a[0].set_ylabel('Temperature ($^o$C)')\n", "\n", "a[1].plot(minimum['Output']['P_bar'], minimum['Output']['3 Phase Saturation'], 'ok', mfc = 'b')\n", "a[1].plot(minimum['CurveMin']['3 Phase Saturation']['P_new'], minimum['CurveMin']['3 Phase Saturation']['y_new'], '--k')\n", "a[1].set_xlabel('Pressure (bar)')\n", "a[1].set_ylabel('Temperature Residual ($^o$C)')\n", "\n", "a[2].plot(c, t, 'ob', mec = 'k', label = \"multiprocessing\")\n", "a[2].plot(1, t_null, 'dr', mec = 'k', label = \"Main Process Only\")\n", "a[2].set_ylabel('Time (secs)')\n", "a[2].set_xlabel('Number of processes')\n", "a[2].legend()\n", "\n", "f.tight_layout()\n", "\n", "plt.savefig('SpeedComparisons.png', format = 'png', dpi = 600)" ] }, { "cell_type": "code", "execution_count": null, "id": "0508bb21", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.0" } }, "nbformat": 4, "nbformat_minor": 5 }