{ "cells": [ { "cell_type": "markdown", "id": "05a0b4f5", "metadata": {}, "source": [ "# Section 08 - Performance Analysis - D - 5X Lower atm uncertainty" ] }, { "cell_type": "code", "execution_count": 10, "id": "2fd5ec76", "metadata": {}, "outputs": [], "source": [ "from AMAT.planet import Planet\n", "from AMAT.vehicle import Vehicle" ] }, { "cell_type": "code", "execution_count": 11, "id": "e12da72e", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "id": "a7899da6", "metadata": {}, "outputs": [], "source": [ "planet = Planet('URANUS')\n", "planet.loadAtmosphereModel('../../../atmdata/Uranus/uranus-gram-avg.dat', 0 , 1 ,2, 3, heightInKmFlag=True)\n", "planet.h_skip = 1000.0E3\n", "planet.h_low = 120e3\n", "planet.h_trap = 100e3" ] }, { "cell_type": "code", "execution_count": 12, "id": "6aabba09", "metadata": {}, "outputs": [], "source": [ "vehicle=Vehicle('Titania', 3200.0, 146 , 0.24, np.pi*4.5**2.0, 0.0, 1.125, planet)\n", "vehicle.setInitialState(1000.0,-15.22,75.55,29.2877,88.687,-11.7 ,0.0,0.0)\n", "vehicle.setSolverParams(1E-6)\n", "# Set the guidance parameters described in the paper.\n", "# See the function description for parameter details.\n", "\n", "# Set max roll rate constraint to 30 deg/s\n", "vehicle.setMaxRollRate(30.0)\n", "\n", "# Set Ghdot = 83\n", "# Set Gq = 9.0\n", "# Set v_switch_kms = 16.0 :: this parameter is not really used, and should just be set to low value\n", "# Set low_Alt_km = 120\n", "# Set numPoints_lowAlt = 101\n", "# Set hdot_threshold = -500 m/s\n", "vehicle.setEquilibriumGlideParams(83.0, 9.0, 16.0, 120.0, 101, -500.0)\n", "\n", "# Set target orbit parameters\n", "# periapsis = 4000.0 km\n", "# apoapsis = 550,000 km :: set slightly above target (500e3) to account for bias in targeting algorithm\n", "# apoapsis tolerance = 10 km\n", "vehicle.setTargetOrbitParams(4000.0, 550.0E3, 10.0E3)" ] }, { "cell_type": "code", "execution_count": 13, "id": "016c64d4", "metadata": {}, "outputs": [], "source": [ "# Set path to atmfiles with randomly perturbed atmosphere files.\n", "atmfiles = ['../../../atmdata/Uranus/perturbed/G-01.txt',\n", " '../../../atmdata/Uranus/perturbed/G-02.txt',\n", " '../../../atmdata/Uranus/perturbed/G-03.txt',\n", " '../../../atmdata/Uranus/perturbed/G-04.txt',\n", " '../../../atmdata/Uranus/perturbed/G-05.txt']" ] }, { "cell_type": "code", "execution_count": 14, "id": "bb531abc", "metadata": {}, "outputs": [], "source": [ "vehicle.setupMonteCarloSimulation(1201, 200, atmfiles, 0, 1, 2, 3, 4, True, \\\n", " -11.70, 0.10, 0.24, 0.013, 0.5, 0.1, 2400.0, atmSigmaFactor=0.20)" ] }, { "cell_type": "markdown", "id": "75cd9087", "metadata": {}, "source": [ "## Small run N = 200" ] }, { "cell_type": "code", "execution_count": 15, "id": "dc11080e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RUN #: 1, SAMPLE #: 99, EFPA: -11.74, SIGMA: 0.24, LD: 0.24, APO : 514282.65\n", "RUN #: 2, SAMPLE #: 19, EFPA: -11.84, SIGMA: -0.36, LD: 0.22, APO : 527567.71\n", "RUN #: 3, SAMPLE #: 63, EFPA: -11.64, SIGMA: -0.26, LD: 0.23, APO : 570864.29\n", "RUN #: 4, SAMPLE #: 7, EFPA: -11.70, SIGMA: -0.02, LD: 0.25, APO : 515127.34\n", "RUN #: 5, SAMPLE #: 8, EFPA: -11.95, SIGMA: -0.15, LD: 0.25, APO : 549124.79\n", "RUN #: 6, SAMPLE #: 147, EFPA: -11.65, SIGMA: 0.24, LD: 0.25, APO : 545559.86\n", "RUN #: 7, SAMPLE #: 4, EFPA: -11.81, SIGMA: -0.20, LD: 0.22, APO : 530742.60\n", "RUN #: 8, SAMPLE #: 60, EFPA: -11.65, SIGMA: -0.16, LD: 0.25, APO : 548605.84\n", "RUN #: 9, SAMPLE #: 98, EFPA: -11.61, SIGMA: -0.31, LD: 0.23, APO : 598446.91\n", "RUN #: 10, SAMPLE #: 179, EFPA: -11.65, SIGMA: -0.03, LD: 0.25, APO : 531457.60\n", "RUN #: 11, SAMPLE #: 159, EFPA: -11.48, SIGMA: 0.30, LD: 0.24, APO : 559304.34\n", "RUN #: 12, SAMPLE #: 108, EFPA: -11.74, SIGMA: -0.15, LD: 0.24, APO : 520850.57\n", "RUN #: 13, SAMPLE #: 145, EFPA: -11.81, SIGMA: 0.14, LD: 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LD: 0.26, APO : 529806.65\n", "RUN #: 26, SAMPLE #: 165, EFPA: -11.63, SIGMA: 0.02, LD: 0.24, APO : 537662.80\n", "RUN #: 27, SAMPLE #: 19, EFPA: -11.72, SIGMA: -0.28, LD: 0.23, APO : 471795.95\n", "RUN #: 28, SAMPLE #: 108, EFPA: -11.65, SIGMA: 0.12, LD: 0.24, APO : 534755.04\n", "RUN #: 29, SAMPLE #: 183, EFPA: -11.85, SIGMA: -0.03, LD: 0.25, APO : 554202.85\n", "RUN #: 30, SAMPLE #: 41, EFPA: -11.61, SIGMA: 0.13, LD: 0.23, APO : 539022.64\n", "RUN #: 31, SAMPLE #: 52, EFPA: -11.68, SIGMA: -0.33, LD: 0.25, APO : 536556.23\n", "RUN #: 32, SAMPLE #: 199, EFPA: -11.65, SIGMA: 0.23, LD: 0.25, APO : 553440.97\n", "RUN #: 33, SAMPLE #: 122, EFPA: -11.69, SIGMA: 0.19, LD: 0.25, APO : 506181.62\n", "RUN #: 34, SAMPLE #: 18, EFPA: -11.74, SIGMA: -0.04, LD: 0.25, APO : 493782.44\n", "RUN #: 35, SAMPLE #: 10, EFPA: -11.79, SIGMA: -0.09, LD: 0.25, APO : 523719.47\n", "RUN #: 36, SAMPLE #: 175, EFPA: -11.56, SIGMA: 0.26, LD: 0.23, APO : 503775.96\n", "RUN #: 37, SAMPLE #: 162, EFPA: -11.69, 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560478.52\n", "RUN #: 155, SAMPLE #: 62, EFPA: -11.66, SIGMA: -0.20, LD: 0.23, APO : 550900.69\n", "RUN #: 156, SAMPLE #: 186, EFPA: -11.80, SIGMA: 0.39, LD: 0.25, APO : 536764.85\n", "RUN #: 157, SAMPLE #: 122, EFPA: -11.79, SIGMA: 0.09, LD: 0.22, APO : 488050.41\n", "RUN #: 158, SAMPLE #: 157, EFPA: -11.76, SIGMA: 0.14, LD: 0.25, APO : 562608.53\n", "RUN #: 159, SAMPLE #: 45, EFPA: -11.50, SIGMA: -0.44, LD: 0.25, APO : 524761.85\n", "RUN #: 160, SAMPLE #: 138, EFPA: -11.68, SIGMA: -0.11, LD: 0.23, APO : 514741.46\n", "RUN #: 161, SAMPLE #: 106, EFPA: -11.62, SIGMA: 0.24, LD: 0.25, APO : 561136.14\n", "RUN #: 162, SAMPLE #: 8, EFPA: -11.83, SIGMA: 0.05, LD: 0.24, APO : 523420.70\n", "RUN #: 163, SAMPLE #: 13, EFPA: -11.56, SIGMA: -0.29, LD: 0.24, APO : 561305.04\n", "RUN #: 164, SAMPLE #: 196, EFPA: -11.66, SIGMA: -0.08, LD: 0.25, APO : 528206.34\n", "RUN #: 165, SAMPLE #: 31, EFPA: -11.84, SIGMA: -0.23, LD: 0.23, APO : 543614.09\n", "RUN #: 166, SAMPLE #: 82, EFPA: -11.76, SIGMA: -0.18, LD: 0.27, APO : 498872.56\n", "RUN #: 167, SAMPLE #: 159, EFPA: -11.64, SIGMA: -0.04, LD: 0.21, APO : 540300.12\n", "RUN #: 168, SAMPLE #: 185, EFPA: -11.93, SIGMA: -0.07, LD: 0.23, APO : 572351.43\n", "RUN #: 169, SAMPLE #: 79, EFPA: -11.75, SIGMA: -0.33, LD: 0.25, APO : 531967.51\n", "RUN #: 170, SAMPLE #: 32, EFPA: -11.71, SIGMA: 0.08, LD: 0.22, APO : 587888.53\n", "RUN #: 171, SAMPLE #: 39, EFPA: -11.82, SIGMA: 0.04, LD: 0.24, APO : 537292.66\n", "RUN #: 172, SAMPLE #: 96, EFPA: -11.82, SIGMA: 0.08, LD: 0.24, APO : 557135.61\n", "RUN #: 173, SAMPLE #: 165, EFPA: -11.76, SIGMA: 0.16, LD: 0.24, APO : 561592.87\n", "RUN #: 174, SAMPLE #: 14, EFPA: -11.71, SIGMA: -0.10, LD: 0.24, APO : 571666.44\n", "RUN #: 175, SAMPLE #: 44, EFPA: -11.83, SIGMA: -0.04, LD: 0.25, APO : 529701.28\n", "RUN #: 176, SAMPLE #: 118, EFPA: -11.57, SIGMA: 0.06, LD: 0.23, APO : 540164.92\n", "RUN #: 177, SAMPLE #: 182, EFPA: -11.65, SIGMA: 0.00, LD: 0.25, APO : 513947.10\n", "RUN #: 178, SAMPLE #: 33, EFPA: -11.75, SIGMA: -0.11, LD: 0.25, APO : 544113.07\n", "RUN #: 179, SAMPLE #: 107, EFPA: -11.73, SIGMA: -0.25, LD: 0.25, APO : 557206.72\n", "RUN #: 180, SAMPLE #: 8, EFPA: -11.59, SIGMA: 0.07, LD: 0.24, APO : 473081.31\n", "RUN #: 181, SAMPLE #: 7, EFPA: -11.64, SIGMA: -0.10, LD: 0.26, APO : 542501.05\n", "RUN #: 182, SAMPLE #: 110, EFPA: -11.54, SIGMA: 0.11, LD: 0.24, APO : 516666.71\n", "RUN #: 183, SAMPLE #: 19, EFPA: -11.53, SIGMA: -0.04, LD: 0.24, APO : 525676.64\n", "RUN #: 184, SAMPLE #: 159, EFPA: -11.59, SIGMA: -0.29, LD: 0.25, APO : 465039.02\n", "RUN #: 185, SAMPLE #: 162, EFPA: -11.68, SIGMA: 0.03, LD: 0.24, APO : 489552.72\n", "RUN #: 186, SAMPLE #: 16, EFPA: -11.62, SIGMA: 0.14, LD: 0.26, APO : 479498.42\n", "RUN #: 187, SAMPLE #: 28, EFPA: -11.76, SIGMA: 0.09, LD: 0.25, APO : 574378.91\n", "RUN #: 188, SAMPLE #: 65, EFPA: -11.65, SIGMA: -0.09, LD: 0.25, APO : 516317.15\n", "RUN #: 189, SAMPLE #: 112, EFPA: -11.56, SIGMA: -0.09, LD: 0.24, APO : 480544.44\n", "RUN #: 190, SAMPLE #: 105, EFPA: -11.70, SIGMA: -0.17, LD: 0.26, APO : 523843.44\n", "RUN #: 191, SAMPLE #: 172, EFPA: -11.70, SIGMA: -0.18, LD: 0.24, APO : 544246.42\n", "RUN #: 192, SAMPLE #: 135, EFPA: -11.49, SIGMA: 0.18, LD: 0.24, APO : 517420.23\n", "RUN #: 193, SAMPLE #: 172, EFPA: -11.60, SIGMA: -0.04, LD: 0.21, APO : 532617.98\n", "RUN #: 194, SAMPLE #: 189, EFPA: -11.57, SIGMA: 0.09, LD: 0.23, APO : 513937.45\n", "RUN #: 195, SAMPLE #: 123, EFPA: -11.77, SIGMA: -0.17, LD: 0.25, APO : 510125.29\n", "RUN #: 196, SAMPLE #: 108, EFPA: -11.78, SIGMA: 0.07, LD: 0.23, APO : 491605.20\n", "RUN #: 197, SAMPLE #: 190, EFPA: -11.63, SIGMA: -0.35, LD: 0.20, APO : 581432.24\n", "RUN #: 198, SAMPLE #: 162, EFPA: -11.82, SIGMA: 0.10, LD: 0.25, APO : 524038.39\n", "RUN #: 199, SAMPLE #: 82, EFPA: -11.56, SIGMA: -0.22, LD: 0.27, APO : 624429.49\n", "RUN #: 200, SAMPLE #: 110, EFPA: -11.68, SIGMA: -0.16, LD: 0.25, APO : 506569.82\n" ] } ], "source": [ "vehicle.runMonteCarlo2(200, '../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD')" ] }, { "cell_type": "code", "execution_count": 12, "id": "86177244", "metadata": {}, "outputs": [], "source": [ "p1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD/terminal_periapsis_arr.txt')\n", "x1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD/terminal_apoapsis_arr.txt')\n", "y1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD/acc_net_g_max_arr.txt')\n", "z1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD/q_stag_max_arr.txt')\n", "h1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD/heatload_max_arr.txt')\n", "u1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD/periapsis_raise_DV_arr.txt')\n", "v1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD/apoapsis_raise_DV_arr.txt')" ] }, { "cell_type": "code", "execution_count": 13, "id": "cf4145f7", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize = (6.5, 3.25))\n", "plt.rc('font',family='Times New Roman')\n", "params = {'mathtext.default': 'regular' }\n", "plt.rcParams.update(params)\n", "\n", "fig.tight_layout()\n", "plt.subplots_adjust(wspace=0.30)\n", "\n", "axes[0].hist(x1/1000.0, bins=10, color='xkcd:periwinkle')\n", "axes[0].set_xlabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n", "axes[0].set_ylabel('Number of cases', fontsize=12)\n", "\n", "axes[0].tick_params(direction='in')\n", "axes[0].yaxis.set_ticks_position('both')\n", "axes[0].xaxis.set_ticks_position('both')\n", "axes[0].tick_params(axis='x',labelsize=12)\n", "axes[0].tick_params(axis='y',labelsize=12)\n", "\n", "\n", "axes[1].plot(p1, x1/1000.0, 'bo', markersize=5, mfc='None')\n", "\n", "axes[1].set_xlabel('Periapsis altitude, km',fontsize=12)\n", "axes[1].set_ylabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n", "\n", "\n", "axes[1].tick_params(direction='in')\n", "axes[1].yaxis.set_ticks_position('both')\n", "axes[1].xaxis.set_ticks_position('both')\n", "axes[1].tick_params(axis='x',labelsize=12)\n", "axes[1].tick_params(axis='y',labelsize=12)\n", "\n", "for ax in axes:\n", " ax.xaxis.set_tick_params(direction='in', which='both')\n", " ax.yaxis.set_tick_params(direction='in', which='both')\n", " ax.xaxis.set_tick_params(width=1, length=8)\n", " ax.yaxis.set_tick_params(width=1, length=8)\n", " ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", " ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", "\n", " for axis in ['top', 'bottom', 'left', 'right']:\n", " ax.spines[axis].set_linewidth(2)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3582b7d5", "metadata": {}, "source": [ "## Remove cases which did not capture" ] }, { "cell_type": "code", "execution_count": 19, "id": "69d203db", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([], dtype=int64),)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "del_index1 = np.where(x1 < 0)\n", "del_index1" ] }, { "cell_type": "code", "execution_count": 21, "id": "5f3437e1", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize = (6.5, 3.25))\n", "plt.rc('font',family='Times New Roman')\n", "params = {'mathtext.default': 'regular' }\n", "plt.rcParams.update(params)\n", "\n", "fig.tight_layout()\n", "plt.subplots_adjust(wspace=0.30)\n", "\n", "axes[0].hist(x1/1000.0, bins=10, color='xkcd:periwinkle')\n", "axes[0].set_xlabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n", "axes[0].set_ylabel('Number of cases', fontsize=12)\n", "\n", "axes[0].tick_params(direction='in')\n", "axes[0].yaxis.set_ticks_position('both')\n", "axes[0].xaxis.set_ticks_position('both')\n", "axes[0].tick_params(axis='x',labelsize=12)\n", "axes[0].tick_params(axis='y',labelsize=12)\n", "\n", "\n", "axes[1].plot(p1, x1/1000.0, 'bo', markersize=5, mfc='None')\n", "\n", "axes[1].set_xlabel('Periapsis altitude, km',fontsize=12)\n", "axes[1].set_ylabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n", "\n", "\n", "axes[1].tick_params(direction='in')\n", "axes[1].yaxis.set_ticks_position('both')\n", "axes[1].xaxis.set_ticks_position('both')\n", "axes[1].tick_params(axis='x',labelsize=12)\n", "axes[1].tick_params(axis='y',labelsize=12)\n", "\n", "for ax in axes:\n", " ax.xaxis.set_tick_params(direction='in', which='both')\n", " ax.yaxis.set_tick_params(direction='in', which='both')\n", " ax.xaxis.set_tick_params(width=1, length=8)\n", " ax.yaxis.set_tick_params(width=1, length=8)\n", " ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", " ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", "\n", " for axis in ['top', 'bottom', 'left', 'right']:\n", " ax.spines[axis].set_linewidth(2)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "id": "55769abe", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------------------------------------------------------------\n", "Parameter | Min. 0.13-percentile Mean 99.87-percentile Max\n", "--------------------------------------------------------------------------------------------------------\n", "Apoapsis altitude, km | 461172 462172 529271 617708 624429\n", "Periapsis altitude, km | 171 172 192 208 208\n", "Peak deceleration, g | 7.13 7.15 8.0 9.42 9.52\n", "Peak heat rate, W/cm2 | 1604 1610 1744 1862 1865\n", "Peak heat load, kJ/cm2 | 209 210 221 229 229\n", "Periapsis raise dV, m/s| 56.23 56.83 65.52 73.59 73.81\n", "Apoapsis corr. dV, m/s | -54.23 -49.7 19.01 84.38 85.5\n", "--------------------------------------------------------------------------------------------------------\n" ] } ], "source": [ "print(\"--------------------------------------------------------------------------------------------------------\")\n", "\n", "print(\"Parameter | Min. 0.13-percentile Mean 99.87-percentile Max\")\n", "print(\"--------------------------------------------------------------------------------------------------------\")\n", "print(\"Apoapsis altitude, km | \" + str(round(np.min(x1))) + \" \" + str(round(np.percentile(x1, 0.13))) +\\\n", " \" \" + str(round(np.average(x1))) +\n", " \" \" + str(round(np.percentile(x1, 99.87)))+\\\n", " \" \" + str(round(np.max(x1))))\n", "print(\"Periapsis altitude, km | \" + str(round(np.min(p1))) + \" \" + str(round(np.percentile(p1, 0.13))) +\\\n", " \" \" + str(round(np.average(p1))) +\n", " \" \" + str(round(np.percentile(p1, 99.87)))+\\\n", " \" \" + str(round(np.max(p1))))\n", "print(\"Peak deceleration, g | \" + str(round(np.min(y1), 2)) + \" \" + str(round(np.percentile(y1, 0.13), 2)) +\\\n", " \" \" + str(round(np.average(y1), 2)) +\n", " \" \" + str(round(np.percentile(y1, 99.87), 2))+\\\n", " \" \" + str(round(np.max(y1), 2)))\n", "\n", "print(\"Peak heat rate, W/cm2 | \" + str(round(np.min(z1))) + \" \" + str(round(np.percentile(z1, 0.13))) +\\\n", " \" \" + str(round(np.average(z1))) +\n", " \" \" + str(round(np.percentile(z1, 99.87)))+\\\n", " \" \" + str(round(np.max(z1))))\n", "\n", "print(\"Peak heat load, kJ/cm2 | \" + str(round(np.min(h1))) + \" \" + str(round(np.percentile(h1, 0.13))) +\\\n", " \" \" + str(round(np.average(h1))) +\n", " \" \" + str(round(np.percentile(h1, 99.87)))+\\\n", " \" \" + str(round(np.max(h1))))\n", "print(\"Periapsis raise dV, m/s| \" + str(round(np.min(u1), 2)) + \" \" + str(round(np.percentile(u1, 0.13), 2)) +\\\n", " \" \" + str(round(np.average(u1), 2)) +\n", " \" \" + str(round(np.percentile(u1, 99.87), 2))+\\\n", " \" \" + str(round(np.max(u1), 2)))\n", "\n", "print(\"Apoapsis corr. dV, m/s | \" + str(round(np.min(v1), 2)) + \" \" + str(round(np.percentile(v1, 0.13), 2)) +\\\n", " \" \" + str(round(np.average(v1), 2)) +\n", " \" \" + str(round(np.percentile(v1, 99.87), 2))+\\\n", " \" \" + str(round(np.max(v1), 2)))\n", "\n", "print(\"--------------------------------------------------------------------------------------------------------\")\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "8808f519", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize = (6.75, 3.5))\n", "plt.rc('font',family='Times New Roman')\n", "params = {'mathtext.default': 'regular' }\n", "plt.rcParams.update(params)\n", "\n", "fig.tight_layout()\n", "plt.subplots_adjust(wspace=0.30)\n", "\n", "axes[0].axvline(x=550.0, linewidth=1.5, color='k', linestyle='dashed')\n", "axes[0].hist(x1/1000.0, bins=10, color='xkcd:periwinkle')\n", "axes[0].set_xlabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n", "axes[0].set_ylabel('Number of cases', fontsize=12)\n", "\n", "axes[0].tick_params(direction='in')\n", "axes[0].yaxis.set_ticks_position('both')\n", "axes[0].xaxis.set_ticks_position('both')\n", "axes[0].tick_params(axis='x',labelsize=12)\n", "axes[0].tick_params(axis='y',labelsize=12)\n", "\n", "\n", "axes[1].plot(p1, x1/1000.0, 'bo', markersize=5, mfc='None')\n", "axes[1].axhline(y=550.0, linewidth=1.5, color='k', linestyle='dashed')\n", "\n", "axes[1].set_xlabel('Periapsis altitude, km',fontsize=12)\n", "axes[1].set_ylabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n", "\n", "\n", "axes[1].tick_params(direction='in')\n", "axes[1].yaxis.set_ticks_position('both')\n", "axes[1].xaxis.set_ticks_position('both')\n", "axes[1].tick_params(axis='x',labelsize=12)\n", "axes[1].tick_params(axis='y',labelsize=12)\n", "\n", "for ax in axes:\n", " ax.xaxis.set_tick_params(direction='in', which='both')\n", " ax.yaxis.set_tick_params(direction='in', which='both')\n", " ax.xaxis.set_tick_params(width=1, length=8)\n", " ax.yaxis.set_tick_params(width=1, length=8)\n", " ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", " ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", "\n", " for axis in ['top', 'bottom', 'left', 'right']:\n", " ax.spines[axis].set_linewidth(2)\n", " \n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XD.png', dpi= 300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XD.pdf', dpi=300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XD.eps', dpi=300,bbox_inches='tight')\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 25, "id": "23f4a898", "metadata": {}, "outputs": [ { "data": { "image/png": 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NhSRVgozJGXr1OL9smPMc13Tt1bos2d9//42EhAT4+vrizTffxNy5c/Hxxx/jp59+wtOnT3neTQsWDEl8fLyhu1A9EgnQrh2jZ/vgAfOzXTvABGS7NMGo78m/2NjYICIiAhEREbrfLVxHgoODkZSUxDvm6emJWbNmIS4u7qX38JrC/FIHaa4Usw7OwuhtozkJMEPRqh4TSyxJlaCTpBP6r+4Pz188IUmVYNWQVRZjV8eY6xwH9Lf2quzh/eabb9CrVy/897//5R0vLy9HdHQ0/ve//72U2pUWD68FlZFKGeM2IABYtIjRr5XJmI1gEgmQkcFs/rJgVmhrjThx4gSaN28OLy+vKufmzp2L2bNna9JNo+VlXWMrpxNOe5CGvOK8WtMJS3OliE+J52J9AzoHoFU97T1BMnQssQULldG6h3fevHkQi8U8MW+Aib2bOXMm/ve//6nfWwsWtEhERIShu6Cc+HhALAZiYhhjF2B+xsQALi5AXJxh+6dDjPaemBC9evVSauwCqJOxu23bNm11yWgwt/mlbjphSYoE7Za2Q2xyLB4UPOB0chNSE1RqUxVvso+7D5zOOGHjMEaVwWLs6gdzm+OGwCCphbdt21YlO0ldKS4uxsqVK7Fx40ZeRhMAWLduHc6fP48GDRogKysLY8eORZ8+fXhldu7ciffff597HxISghUrVnDvt2zZgh07dsDZ2RleXl747rvvlPbjZfU+GDMlJSU6C3rXiNGjmTAGhaw6HP37Aw0bAhvNc5ez0d4TBYiIy+RVv359rYVpGWKNuHv3LqKiopCZmVkluUtaWhqePXuml35oA1XGzxTmV12YdXAWl07Y3vrFZkyZXAbPXzwR0jWkygY2NsY2oHMAFg1YBAcbB5VjbOvqTTa38TYFzHnMNV17ta7SUFdqW3A1MXjLysqwceNGxMbGVsmgdPjwYWzcuBF79+4FwARAd+jQAadOnULTpk25cps2bUJ0dDT3/oMPPuB+379/P2bPno0rV67Azs4OQ4YMwaJFizBt2jS1+2xBfyxatAhff/21obtRFW9vIDGRCWNQVCqQyRg92xDz3eVstPdEgaKiIi49pjY3rRmC//73v8jNzUXPnj15fySJCFk1pIA2VUxhftUFxXTCirDphLPysqp8htXJjRkYw33OwcaB08mNS45TqvKg6E2ubCgH7QpCT6+eVQxlcxtvU8Ccx1xfa6/ODF5dLrjW1tYYP348rl27hk2bNvHO7dy5E82bN+fei0QiNG7cGGfPnuUM3pMnT+KNN97A1KlTldY/c+ZMjBo1iuv3mDFjEBISgqCgIJP+I/iyoOnTA50REAAsWMDE7LJhDWwMb34+EBho6B7qDKO9J2bKP//8g/T0dKUhELt37zZAj3SLuc0vRQkwBxsFbewaJMDUMZIB9QxlcxtvU8Ay5pqjcgxvXfnnn39w8uRJbNiwARKJhHslJCRgyZIlWmlDme5m/fr1sXHjRty8eRMA8PTpU/zzzz/o3r07V2bevHmYN28eJkyYgOuVskNdvXoVV65cQZcuXbhjXbt2RX5+Pvbt26eVflvQLefOnTN0F5TTqhWwahWzQa1pUyaMwdOTeb9qlVlvWDPae6KAk5MTiAhEZPL/2AYGBuLRo0dKz7Vv317PvdE9pjC/6kJA5wDkFedh6r6pkMmZzeCs1zW/JB+BXar+c+wt9kbagzSuPAtrJHuLvZW2pY6hbG7jbQqY85jra+3VmcFrqAV3woQJsLe3R69evXD69GkEBQUhLi6O8+4WFhbC1dUVTZs2RVxcHDp16oRdu3Zxn2cnVb169bhjrKs9JSVFZ/22oD0aN25s6C5Uj78/o8YwYQITsxsSwrz39zd0z3SKUd8TM2T+/PnYvn07jh8/znsdPXoUP/zwg6G7p3XMbX4pSoA1jW6qkgSYOkYyoJ6hbG7jbQpYxlxzdBbSMH/+fPzwww9VYmwrKiqwatUqrFu3TiftNmzYEAcPHsR//vMfvPnmm1i8eDHee+897ryTkxPWrl0LAEhPT8eYMWMwevRoZGRkoFmzZnj48CEARuidxdnZGQC4oGplyOVyJCcn19q/xo0bWyaujmHT4BotPj5ApOEyJhkCo78napCTk4OcnJxayxlCI3fOnDmIjIxEVFQUKu9LFggEOlt/DYU5zi9/P3/09OrJSYCFdA2pUQKMNZKDdgVhe8Z2+Db0Rer9VOSX5NeokxvQOQAL/lqAqfumImZgDC+GN684D0+Ln2L0ttE8iTNzHG9jxzLmWoB0xHfffUcCgYCEQiEJBALeSygUaqWNH374gZo3b17l+JEjR8jf3586dOhA1tbWtG7dumrryMnJITc3N/rpp5+IiGjBggUEgKRSKVemtLSUANCkSZOqfN7T05MAqPwaOXIkXblyhRYtWkR5eXkUHh5ORETh4eGUm5tLS5YsobS0NNq5cyft2bOHLl68SCtWrKCHDx/yyhYWFtLChQspIyODNm/eTAcPHqRTp06RRCKh27dv88qWlZXR3LlzKSsri9asWUMnTpygI0eO0MaNGykzM5Pmz59PMpmM95mcnByKjY2lc+fO0b59+2j79u2Unp5OMTEx9OzZM17Zp0+f0uLFi+nSpUu0Y8cO2rt3L124cIFWrlxJ9+/f55UtKiqihQsXUmZmJm3atIkOHTpEJ0+epNWrV9OtW7coIiKCysvLKTw8nMrLyykiIoJu3bpFq1evppMnT9KhQ4do06ZNlJmZSQsXLqSioiJe/ffv36fx48fThQsXaO/evbRjxw66dOkSLV68mJ4+fcor++zZM4qJiaH09HTavn077du3j86dO0exsbGUk5PDKyuTyWj+/PmUmZlJGzdupCNHjtCJEydozZo1lJWVRXPnzqWysjLeZ27fvk0SiYROnTpFBw8epM2bN1NGRgYtXLiQCgsLeWUfPnxIK1asoIsXL9KePXto586dlJaWRkuWLKHc3Fxe2by8PFq0aBFduXKFtm3bRvv376dz587RqlWr6O7du7yyxcXFNG/ePLp+/Tpt2LCBjhw5QsePH6e1a9fSzZs3KTIykuRyOe8zd+7cofj4eDp9+jQlJibSli1b6OrVq/TLL7/Q8+fPeWUfPXpEy5cvp5SUFNq9ezft2rWLUlJSaNmyZfT48WOu7LBhwyg/P5+io6PpypUrtHXrVjpw4ACdOXOG4uLiqvS7tLSUoqKi6MaNG7Ru3To6duwYHTt2jNatW0c3btygqKgoKi0t5X3m7t27FBcXR2fOnKEDBw7Q1q1b6cqVKxQdHU35+fm8so8fP6Zly5ZRSkoK7dq1i3bv3k1nz56lfv360YQJE+iHH37gyj5//px++eUXunr1Km3ZsoUSExPp9OnTNGTIkDp99z09Patdh7SNs7MzzZ49m65evUpZWVnc68aNGzR58mS99UMbsGtsTeO3du1aPfaIT+bjTApNCqVRW0dRaFIoZT7ONFhfiIikuVJef6S50lo/I0mRkNUcK3Kf5079EvqRW5QbCcIEJJwj5I65z3MnqzlWJEmRGHS8X1bMecyLi4tp2rRpNG3aNCouLq7z51VZI4iIdCZL5uLigilTpmDs2LFwUNiRziaqWLx4scZthIWFISEhgbcJ7sqVKxg+fDiSk5NRUlKCAQMGIDk5GZcuXULbtm2V1jNz5kzk5+cjNjYW69evxyeffIILFy6ga9euAJg4YHd3d4SFhVV5HMjKYXh4eKgU42vx8OqerKwseHt7G7obFhQwhXtS1/SWqnp4Bw4ciIcPH+pVlqx3797Yvn076tevX+Xc/fv30ahRI730QxuoIjnEzi9dJ12ojLrJIYwRxYQSLrYuiEuJq1bi7OD7B9H31b6G7vJLhSmsoeqir9TCOgtp8PPzwxdffKF0wf3222911SwWLlyIt99+Gw4ODnBwcMCff/6JV199FatXr0ZkNY+RX3nlFS5cwdfXFwC40AaA+QMBAN26dau2XRsbG95GNwuGY9OmTQgNDTV0NywoYAr3xMbGhkvgoEp6S1X/eTVEmuJly5Zh3759GDt2bJVzx48fx8iRI/XeJ12yadMmNHy3Ic/4TLyRiAV/LdCZ8amOnJcx4+Puw6kxzDo4q0blhrBdYTj66lHDdfYlxBTWUHWp69qrLjozeA214Obl5fHib93d3fHRRx+hoqKi2s+kp6djxowZAICOHTvC19cXZ86cwcCBAwEAly5dQv369dG3b1+d9NlCDUilTIayrCxGxzYggFE7qIGZM2fqpWsWVMcU7omtrS1++uknQ3dDK3z99df4559/IJFIeMfLy8tx6dIlszN4hwYMRacVnfRqfKqre2sK1Kbc4OHoYaCevbyYwhqqLvpae3Wm0vD111/jp59+Qv/+/XmvPn36IERLAvtyuRxlZWW8Y2PGjMGff/7J2ygilUoxatQoAIxOb1BQEOe13bBhA9q3bw8fBUmosLAw7Ny5kzOSV69ejTlz5vBCMyzoAYkEaNcOiI1lMpTFxjLvExJq/FhUVJR++mdBZSz3RL80atQIzs7O8PT0RPPmzXkv9tGhORGyIoQzPlndWtb4dLFzQVyy9tN2q6t7awrUptxw7+o9A/Xs5cWyhmqOzjy8jRo1wqNHj+Dp6Qlr6xfNlJeX459//tG4/m3btmHXrl3IycnBr7/+ijFjxsDDwwPDhw/H/fv3MWbMGLz++usoLCzEpEmT0LlzZwCAm5sbDh48iC1btuDNN9/E5MmTMWbMGF7d77//Ph48eIDx48fDzs4O7777LiZOnKhxny3UAakUCA5mPLqLFvGTNAQFAT17VqtbW10a6Dq3X0fPsoXq0co90TFEhKKiIgCAo6Oj1lILG4LJkyfDxcWF9488y2Flqa1NHM8OnrAusNar8alOcghToSblhvySfMRPjjd0F186TGENVRe9rb3q7KhThYsXL/KUDhQ5dOiQrprVO6ruDrRQR0JDidzdiWQy/vGiIiI3N+Z8NbC78dUmPp7Iyoppv18/5qeVFZFEolm9LzEa3xM9UFBQwCkqFBQUaK1eyxqhGaqMX685vch9njsVlRbxjheVFpFblBuFJlW/XqhL5uNMsppjRUE7g7h2i0qLKGhnEFnNsVJJHcGYUabcwKo0mML32dww5zHXdO1VdY3VWUiDj48PlixZwiVyKCgowNKlS3Hy5En0799fV81aMBeysgBfX6ByNj0HB8DPjzlfDf7KkjhIpcCsWcDo0cxPqVT5hxU9y9nZwOHDzM/x4xnPcqXMfBZUQ+k9saAznj9/junTpytdf82Rn4b9pFbSBU1QJzmEoZHmSjHr4CyM3jYasw7OgjS3mnUQjA5wxuQMTOgyAQ1FDRHSNQQZkzPg7+dv+T4bAMuYa47ODN4JEyZg1apVnESESCTCpEmT8Ouvv2LHjh26ataCueDtDaSlMWEMishkQGoqc74akpKS+AfqEgscHw+IxUBMDGNcA8zPmBjAxQWI034s4MtAlXtihDg6OqKgoAAFBQVwdHQ0dHc0Ijg4+KVaf6+fu24Q47Mmo1Df1GbMSlIkaLe0HWKTY/Gg4AFik2PRbmk7JKQmVFsnq9ywcdhGRL4TyY2jKXyfzQ1zHnN9rb06i+EtKSnBw4cPq3T+ww8/xOzZs/HBBx/oqmkL5kBAALBgAROzyxqfbAxvfj4QWL3Hpl27di/e1DUWWAPPslmgo9hl3j0xUgQCgU7zuOuTl239bdeuHXr49ahTZjJtoSjnZSgkKRIE7QqCrbUtXOxckF+Sj/mn5iNuaBz8/fy1LqFmCt9nc8Ocx1xfa6/OPLzNmjVTaqmfP39eb+LrFkyYVq2AVasY72zTpkD//oCnJ/N+1apqN6wBzONcjrp6bDXwLJs8aqpiqALvnljQOS/b+svOr+o8kuaMNFeKwF2BIBAcbRzRoUEHONo4gkAI2BmAg/8cxKc7PoWV0ApiezGy85n7r4mKheX7rH8sY645OjN4XV1dERERgXv37qGkpATp6emYNGkSFi9ejKFDh+qqWQvmhL8/kJEBTJgANGwIhIQw72uJZXr27NmLN3X12AYEAHl5jAeYNXpV9CybNDqOXebdEyOltLQU3377Lb799luUlpYaujsa8bKtv6Ywv3TFwr8WgkDo1LAT+rfoj1burfB+m/fh7eoNAuH/1v4fku8nw9HGEfEp8bwwBnVVLNQZ77rED1uoijnPcb2tveruqquNsrIymjBhAgmFQu4lEAhoxIgRlJ+fr6tm9Y5lB7bxcfXq1RdvWLWHIv7u7RrVHiQSvkqDm5tpqDRkZjLXM2oU8zMzU/XPaqCKoQq8e2KkmJNKgzmtv6qMnynML13ReGFjQhjILcqN2i5pSwgDIQzkHe3N/f7u2nfJfZ475Rbm8lQk1FWxqOt4xyfH8xQf3Oe5c4oPFlTDnOe4yas0WFlZYeXKlbhx4wY2b96MP/74A9evX8eWLVvg7Oysq2YtWMC+fftevFHHY6umZ9mgaBqOoOPYZd49MVKsra0xbdo0TJs2jacdbgr89NNPyMzM5N6z6+/169dfivXXFOaXutTkGZXmSpFTkAMBBDjwyQFIc6UY7zce/n7+uJV3CwAgthMj6UYS8orz8M3BbzDvnXlwsXPBygsr1VaxqMt4K8YPZ3+RjcPjDiP7i2yM9xuPoF1BuP7EonyjCuY8x/W19gqIiLRR0U8//YQRI0agdevW2qjOZGjatCnu3r0LT09Ps4yN0xta3CxVUFDAzyaVkMA8lheLGaMuNZUxdletMm4jVlWkUsa4VbYxTyJhjPUaYp4BMFJtsbFMGINiRkGZjImdDgkBItXfmFPlnqiKGSQA0ccaIZVK8fvvvyMjIwOtW7fGiBEj0KZNG520pW9UGT+155eRI0mRIHh3MMT2Yvg29EXagzTkFedh1ZBV8Pfzx6yDsxB9Jhol5SXo5NEJ2fnZuDfjHopKi1B/QX0QCIGdA7H96na80fQNHLhxAGJ7MSqoAoWlhaigCq6uulCX8Z51cBZik2Nx98u7vMQgMrkMnr94IqRriME3/VWHNFeK+JR4ZOVlwVvsjYDOAWhVzzDrj7nOcW2g6hqrNQ/vyJEjsXXrVnz66aeIiIjAtWvXtFW1BXNHy5ulfv31V/4BU/PYqqoZzKINKTUdxy5XuSc1wV5/9+5AmzbAihVa30RnbrRq1QqzZ8/GmjVrMGrUKGzfvh1jx45FeHg4MjIyDN09nVOn+WUiqOIZzcrLgl8jPwgFQqQ/TEd+ST4GrR+EljEtQWB8WdO7T4dfIz+42LsgY3IGxvuOR5G8CF0bd1VbQq0u422qKZjVkXHTJeY4x/WOehEXNSOVSmnu3Lk0duxY+vHHH8069sQSw6shmZlMfGxw8Is426IioqAg5ng12frMFnWyvI0axZRVRr9+zHlVMIbYZfb6xWIigYDIzo5IKGT6YKLzwpBrxPXr1ykyMpI++eQTmjNnDv39999674OmvGxrbObjTApNCqV2S9qRXbgdBfwRQKO2jqLQpFDKfJzJi7sNTQol93nutPLCShKECQhhoAbzG5B9uD0Xv+v/hz+5RrpSaFKoQTLBsX3UZxY8TWGz6AXvCjbLLHrmhkFjeH18fDBr1iysWbMGY8aMwR9//IGxY8fixx9/xNWrV3XRpAVTRQeJHiIiIrTcyX+p7HlNSqqbJ1aV+tVRStCWlJoOPeEq3RPF6w8OBtzcgJwc5n1QEHD3rk4TgBQWFkIgEEAgEKCwsFDr9RuCli1bIjQ0FGvXrsUnn3yCXbt24dNPPzV0t7SOzr7zekbRq5idn42S8hLEp8YjNSeV8zBuvrKZ84wGdA5AXnEezt89j92jd0MAAUS2IrSq1wpCCBHeLxyrU1fjWckzHL11VGvJOOoy3mwf9ZkFT1PiU+IhthcjZmAMHGyYv0uayLhpA3OZ48rQ29qrJwOciIhu3LhBUVFRNHbsWH02q1NeNu+D1tGWd1KBR48eadgpJVT2vDo5EQHMT1U9sbWhrlIC6yUPCjJaL7lK90Tx+hXnReXrV3Ne1IYpqzTcu3dPZ3UbGlXGTyffeT2j6FW8dP8SCcIEZBduR59s/4Ss5lhR+v10CtoZRMIwIYkjxZxnVJIi4RQQFFUa2i5uS25RbiQME9Kg9YM4L7E2vJN1HW/FPvZL6EduUW5GrdIwauso6peg/O9Sv4R+NGqr9tef2jCHOV4dJqfSwOZsr4lXXnkF33zzDdasWaOtZi2YOjpI9LB161Zt9OwFlT2vK1cCxcVMfKlM9mKzl6aateoqJWiQpENfqHRPFK9fcV4oXr8OE4A4Ojri4cOHSjOUGTtan/Mmhjlcv6JXcUP6BrjYuaCsogzWQms42zpjffp6zHtnHqytrHmeUcX0xn6N/BDSNQQhXULg15j5/dqUa9g7Zq9Wk3HUdbyNKQWzKniLvZH2II3zSLPI5DKk3k+Ft9hb730yhzleHXpbe9W1yCvz2muv0YULF7RVnclg8fBqiA68kykpKdrtY2XPK/v+yRO+51FTzVp1NIMVkUr5OrxG4NllUemeKF6/4rzIzWWuf8YMo/Jaq4o+1ghbW1t6/fXXqVevXlVevXv3pgEDBtDkyZPp3LlzOuuDrlBl/LT+nTcAil5F9nfWM2r9ozV5LPAgtyg3EoQJqNtv3QzaV3MY75pgve1BO4OMJobX3MdcE/Tu4a2oqEBCQgIGDhyIr7/+GmfPntVW1RbMGR14J7Uu/VTZ88q+d3Pje1411azVVCnBx4eRDtu4kflpBJ5dFpXuieL1N236Yl40aQI8ffrivZF4rY0JoVAIa2trWFlZVXkJhUIUFxfj8uXLmDJlCtauXWvo7modc5CEVPQqsr9/1OEjpIakwlpgjXoO9RDYORDOts7o791faR36ymZmDuNdE63qtcKqIasgSZWgaXRT9F/dX2vxz+pi7mOuD7Sm8Ltw4UL069cPAPD3339j+/btiIiIQIsWLfDhhx+iT58+EAgE2mrOgjnh7w/07MlsRMrKYjZLBQaqbdSQdqSlX+DtDSQmvni8zr5/8oR5vB4SwpRjH7ez7+sKa/wHBQHbt1fVDDZhI0+le6Ls+p2cgOfPGYmyfv00mhe1UVpaigULFgAAvvrqK9ja2uqkHV0wd+5cfPHFF7WWKygowLhx4zB27Fg99Ep/aP07bwACOgdgwV8LMHXfVEztPhUL/lqAiXsnAgJAXiHHluFbsOjsIhTKC5Vu9Kqs2Zt4IxEL/lqgls5ubZjDeNeGv58/enr1RFxyHLLyshDSNQSBXQINYuwC5j3m+lp7tZZ4ojpu3bqF7du349ixY2jQoAGGDRuGt99+GzY2NrpsVm9YEk8YH6mpqfDz89NehWxih/HjGZWA7GzmvY8Pc+7aNcYrXZdEDzVx/foL49/bW6dGnr6o0z0x0PUXFhZywu4FBQVwcnLSSr36WCPu37+PRo0a1VjmwYMH6NixI2xtbXH37l2d9EMXqDJ+Wv/OG4iE1AQE7QqC2F4MDycPZDxmNJTb1muLB4UPkF+Sr9SAleZK0W5pOwR0DsCiAYvgYOPAKSFIUiXImJyhVUPNXMbblDDnMdd07VV1jdVp/kwiQlZWFv755x+cO3cO9+/fx/r16zFq1CjEx8frsmkLLzGnT5/W7sKgzPNoZ8cYuk5OjIyXNj2xbGiCGVGne2Kg67e2tkZQUBD3u1KMNPNbZWO3oqICQiE/Yk0sFiMgIMAss2Fq/TtvICp7Ffs07wMQkFeaB2+xd7UeRsUNb2yCB1ZGa9vVbYhLjqtzNrOasoydPn0aTs2cjCYL2cuAucxxZai09moBrXl4Dxw4gHfffRcVFRU4cuQItm7dij/++AMPHz6Evb09Bg4ciBEjRuC///2v1jwnxoDFw2t85Obmol69etqvuLLn8Z13gIMHzcoTqyt0dk/0iUTCqHWwKarT0piY41pSVBtijUhISIB/NX2aPn26SWVtUmX8zGJ+acDobaPxoOABDo87XOVc/9X94WjjiE4enVQ2TmtLabz4xGJ8ceSLas9rijGl9DUWXvY5XhMqr7Ha2iX3yiuv0Pvvv0/16tUjoVBIIpGIRo4cSVu2bKHCwkJtNWN0GEylITOTvyM/M1O/7Rsx4eHhhu6ChUqY/D3RICOgIdaInj17UllZGe9YaWkpTZo0iYRCod76oQ1UGT+Tn18aUlM2M8cIRxKECTgNXPd57jVq4NaWZSzpehIJw4Q6y0IWnxzP0+ytrb8vCy/7HK8JVddYrRm8AoGAHB0dadiwYTR//nwaMmQIjRkzhrZu3UqyykL6ZoRBDF510s9asGBBfdRNCkKGWSO6d+9OAQEBVF5eTkRMiuGuXbuSk5MTde7cWW/90AYW6cfaqU5Ga8TmEYQw0Ee/f6SyccoazzI5f66zqYB7/NajxvOapAq2pPS1oA56lyUbMGAAbt++ja1bt+Krr77Czp07ERMTg6dPn2LMmDEYO3Ystm/fjuLiYm01+XKibvrZlwhzTsFoqpjCPSksLISTkxOcnJyqprdUNymIgTh48CDGjx+P4OBgrF27Fp07dwYRISUlBceOHTN097SOKcwvXVKdjNbWq1vhZOOEhPcTVE6Rm5WXBd+GvlwsMIuDjQP8GvnhXsE9iGXiKuez87PhbOeMDZc3qC2JZowpfY0Fc57jNa69WkRrBu/ChQurxJfUq1cP48ePR0hICAoKCjBixAg0aNAAn332mbaaffmIj2diCGNimD+2APMzJgZwcWFiTF9ypk2bVnMBqRSYNQsYPZr5KdWNVqWFF9R6T4yEoqIiFBUVVT2hg4yAukQkEqFnz54YP348Jk+ejODgYJw9exatWrXCvn37NKr7/v37GDZsGMRiMXx8fLB8+XLunFwux9dff41GjRqhUaNGmDZtmtLxXLRoEQQCAfeKiorSqE+mMr90ibJsZoNaDUI3z27VGq9ZeVlV6qkty1gTURM8s3/GOy9JkaDd0na4k3cHABCbHIt2S9shITWhTtdQm7GtrL8vC+Y+x6tde7WI1gxeNzc37veysjLs27cPgYGBaNiwIQYNGoTDhw9jzJgx2LBhA2JiYrTV7MuHiXmaDEFcTUa/RMJIisXGAg8eMD/btQMSEvTWv5eRGu+JkeDg4ICbN2/i5s2bcGD/mWTRNCmIjhk0aBD69+9f5fX999+jefPmSElJwX/+8x/06dMHIerqRP9LQEAAOnXqhGXLlsHb2xsTJ07kkllEREQgNzcXv/76K95//33ExMRgypQpvM+XlZXh8OHDiI6O5l6a9skU5lddUDeBhI+7DyLfieTSCHfy6FTnFLkBnQOQV5yHqfumcp9jJc7yS/IR3i+cd16aK0Xw7mD4uPtAAAEOfXoI2V9kY7zfeATtCsL1J6o/dTTGlL7GgrnNcUVqXHu1ibZiKMaMGUObNm2icePGkZubGwmFQnJ2dqYxY8bQH3/8QcXFxdpqyqjQe3yZpulnXwKuXLmi/IQGG48saEa198SUkEj4sfNubirFzutjjRgzZgz17t2bPv30U/L396/2NXbsWGrWrJna7Vy+fJl+//137r1cLqc2bdpQr169qKKigubMmcMrHxgYSNbW1rz1f+3atbRz506V21Rl/Ex9fmU+zqTQpFAatXUUDVo3iIRhQq1s2lI3RS6b0pjtg1uUG68PEXsjuPNe0V4kCBOQMEzI66M6Mb3GmNLXWDD1Oa5LDLJpjVVn+Oijj2jbtm1mvVmNRe8GL2u0BQW9PEZbHRUptm7dqvyEBhuPdNFPo21DB1R7T0wNqZQ//ip83/SxRpw8eZKePHmiUtm6GJuVuXfvHlVUVPCOTZ8+nTp06EAlJSX0+PFj3rk//viDANCjR4+4Y506daJXXnmFvvjiC8rJyam1TVXGz5Tnl6IqQY/fehDCQIIwAa28sJKIVDP4FA3m0KRQynz8Yl2ozXitrr6QXSHUbkk7arekHU3YNYHX9tatW0maK6XQpFDyivYir2gvpX3rl9CPRm0dVafxUKe/LwOmPMd1japrrNYUflu0aIHIyEi89957unVJv+yYUvpZbYj0V9Y+TUwEFiyoUfvU2dlZeV26DAdRo59G2YaOqPaeGBFyuRxLly4FAEyaNEl5NkgjTQry1ltvqVx2yJAharfTuHHjKsfKysrQo0cP2NraVtnHUVZWBh8fH9SvXx8AcPv2bXTo0AFXrlxBdHQ0Vq9ejb1796JHjx61ti2Xy5GcnKz03P3797lzjRs3VtpPY4QNB2AzpP147Edcy72G99u+j4l7J6J/i/7wcfepMYFEbSmF65oiV5kGb1xKHN5o9gb3GWdnZy58AmBidj2dPXn1sGEIIV3rFq5ibCl9jQVTWEPVpbq1NycnBzk5OSp9XiW0ZWHv3btXW1WZFAaTzFHD06RXtCGdpmYIwpkzZ5TXV104yKVLRPb2RO3aqec11UeohImHY1R7T4yIgoICAkAAqKCgQGv1mrusVocOHap93BoSEkIrVqxQeu748ePUtGlTaty4cY3jzY6fqq+RI0fSlStXaNGiRZSXl8fpl4aHh1Nubi4tWbKE0tLSaOfOnbRnzx66ePEirVixgh4+fMgrW1hYSAsXLqSMjAzavHkzHTx4kE6dOkUSiYRu377NK1tWVkZz586lrKwsWrNmDZ04cYKOHDlCGzdupMzMTJo/fz7JZDLeZ3JycmjAwgHk8pML7dy7k7Zv304DVw2kVhGtKOdxDjmEOVBoUiiFh4fT06dPqVVEKxqwagDt2LGD9u7dSxcuXKAfl/5IVnOs6LU5r1FRaRFzjXm51D2iO1nNsaJv476l0atG09vL36bB0YPp6KWjFBERQeXl5RQeHk7l5eUUERFBt27dotWrV9PGxI0kDBNS/+j+dOnvS7Rw4ULKzculrnO6ktUcK5r+43S6f/8+hYaG0oULF2jv3r20dNNSsppjRW9EvkH3Ht2j8PBwKiot4j7zv+j/UXp6Om3fvp327dtH586do9jYWMrJyeGNh0wmo/nz51NmZiZt3LiRjhw5QidOnKA1a9ZQVlYWzZ07l8rKynifuX37NkkkEjp16hQdPHiQNm/eTBkZGbRw4UIqLCzklX348CGtWLGCLl68SHv27KGdO3dSWloaLVmyhHJzc3ll8/LyaNGiRXTlyhXatm0b7d+/n86dO0erVq2iu3fv8soWFxfTvHnz6Pr167RhwwY6cuQIHT9+nNauXUs3b96kyMhIksvlvM/cuXOH4uPj6fTp05SYmEhbtmyhq1ev0i+//ELPnz/nlX306BEtX76c1qxZQ7t376Zdu3ZRSkoKLVu2jB4/fswrm5+fT9HR0XTlyhXaunUrHThwgM6cOUNxcXFV+l1aWkpRUVF048YNWrduHR07doyOHTtG69atoxs3blBUVBSVlpbyPnP37l2Ki4ujM2fO0IEDB2jr1q105coVio6Opvz8fF7Zx48f07JlyyglJYV27dpFu3fvppSUFFq+fDk9evSIV/b+/fvc93fNmjWUmJhIp0+fpiFDhtTpu6+3kIaXFXP/Y6YW2jLO1AxBiIuLq7lfI0YQzZjB/LPw7rtEAgERQNS9u3qGua5DJfTVhg6p9p4YETKZjMaMGUNjxozRajiWOa8R27dvp2nTpik9l52dTb179ya5XF7t5y9fvkzW1ta0fv36asuw4+fh4UEXL15U+vr++++53+/du6fpZemNUVtHUb+Eftx7xQQSiuEA1cXD1qSZW9eEE7XVp9h+5e+zPsIQagrbUKecqWEKa6i6VLf23rt3r9rvvOLLw8NDvyENFixwKEqnseEDrHTatm2MdJoqj4XVDEEYMGCA8vpatQLGjWP6JxAAzs5MKAjAHE9IeLHzPigI6NlTtRARfShnpKcDIhGjt6wYHmLM6hwKIS0j6tdn3tc1pEWP2NvbY/369Ybuhsnw9OlTrFu3Dhs3blR6PjQ0FAkJCbC2rv7PTIcOHTB06FBkqTB/bWxs0KVLF6XnGjVqhCZNmqjUb2OATZ2bdj8NN5/dRPqDdHRq2AkBnQOw4K8FmLh3IhcOoKiQ8HaLtzHr4Cwu5W76w3SlMl7Z+dmQlcnQwq0FLn9+GQ42Dlw9QbuC0NOrp9IQAVVlwSqvsboOQ6gtbKNyOWdbZ7jYu2D71e2Yd2oeIt+OxDc9v9FKXwxFtX/XzIDq1l5Vw5OUhp8pQWuyZBYscGjLAKxJ+/TiRaYeJVq68fHxyuuTSoHVq4GRI4EZMwBPT6aPH34IrFvHJO1QR9NYVxqtrF5w9+7A3r3AnTvAvXt8KTUj1YGtLP9mFRdnkX8zEtLS0nDnzh2N6igvL8fXX3+NmJgY2NraVjm/YMECjBs3Di1atKi1rldeeQVNmzbVqD/VfueNEFazNjY5Fi52LiguK4bvCl/EXoxFq3qtsGzwMqxOW42nxU9xJOsIPH/xhCRVgnG+4zBg/QDEJsfiQcEDxCbH4k/pnzh391wVGa/Yi7EAgA/bflinBA6qyoIpG+/KkmjaMnYV45yzv8jG4XGHlcqeSXOlCNoVhCbOTfCs5BkeFj6Er4cvbK1sEXooFPNOztNKfwyFKc1xo0XXrmpzx5wfV6qNtqTTqlOk6N2bCUFwda1bfDDbr/R05ncvL+Z16VLVfvXrx4Q8aNJPTeJr2RhoV1fmWm1smJ+9exPl5jJ1C4VEI0caXwyviccbaxtjWiOGDx9OTZo0oZ9//pkWLFigdj1fffUVJScn8449ePCAiIg2btxY5fEre04ZI0eOrFFhwtDjp81H5MpS5668sJIEYQJCGKjHqh5cOMCgdYO4NpOuJylNucumDh65ZSTv+Cu/vkIIQ52VE3QtC6bOWKoaZjFo3SBCGAhhoMYLG3MhHIvPLia7cDsShAlealkzc0bvsmR1ITU1lW7fvm2IprWOoRdjo0SbBmBl7VMXF8bw69On2rrZYHhef1gD192dMRTd3Zn3AgHzubZtXxi46sTF1qbRWhc5MUWDccYMps4nT/iGfp8+TN8FgrrFG+sDJfHG4eHhRh9vXFBQQPXr16f69eub7aa17t27U4sWLYiIibHdvXt3neuYPXs2zZgxg/bt20f79u2j3bt301dffUV79+6lPXv20ODBg7lze/fupZiYGO47uWLFCvriiy/o2bNnVF5eTj///HOtckuqjF+V77yWUJQM01QTl6h64y39fjrZh9tTuyXtKDQptIphVpdYXbcoNxKECcjpJyfOaFUsX5s2rirxuOqMt7pjWTnOWRHWeM98nMlds1uUG8nkMp6h3i22G9n8aFMnTWBjQ9M5bsyxzZquvUZr8GrLw2AsGNMfM62hDa1XNUX6laKoSNGjB2Pw1bB5q7S09MVxRbWIJk0Yg1EgIFq5krkuoZCoVSvmeEiIZp7I6pQz6qpYoWgwjhrFfIa9RhcXZgxGjWIM9sGD69ZHfaDY53/h7kldPOd65mVQaSgpKeElgajrdS5YsEDp7mg3Nzc6evQo2dnZKT1/4cIFIiLasmULNWzYkNzd3WnIkCF06tSpWttUZfx433ktocwbq6m3c/D6weQV7aXU6KjJ81qb0Td4/WCeMZN0I0kjTy2rscvWx5ZnjaaRW0bWyWjSZCwVN/Ipomi8hyaFkl24HQnDhNRgfgOub2wZ+3B7btxV6asxGoaazHFt/+OmbTRde43W4NWGh8GYMKY/ZlpBG3JiLLqQTlNiTHH8a0xFRUUxxuyECYxx6+vLhC1MmMAYtq1avTBoV65kjgGMQayJYa4MdR7vK15j5fAQ1mA0Zm+pkpCWqKgo4+4zEZWXl9Ply5fp8uXLVF5errV6jWmNePr0qcklBFJl/KKiorTerqqP0lUlPjmeBGECEoQJqI+kD8/oqK1OVYy+ymiinKDM6FM0ml758ZU6GU2ajKUqYRbdfuvGhTMIwgTkGulKVnOsaOWFldR4YWMShAnIZa5LlXYqX2fk8UijNQzVneO6+MdN22i69hqtwauph8HYMKY/ZhpjCrGXNcUHi8VEPXqQzNeXMXTt7IisrV8Ysd27M6ELQiFz3suLOScUEtWrx7zXtqaxOnJiiteoGB6Sm8t8ZuZM47onlVES0vLPlSvG3Wcdoo814tatW7W+bt68SRs2bKhWF9dYUWX8bty4ofV2VXmUriqs0TFyy0gShgkpaGcQ5RbmckbHiC0jas2kpo7HtjpPbU0o8wYKw4QknCPkjKYbN25Uab8mz+ioraOox289lJ5XZSxrMt7ZcAa7cDv6/tD3hDCQXbgdNVrYiDOCm/3SrMo4Vb5OcaSYEAbqI+ljlIahunNc2/+4GSMGN3jz8/MpODiYPv30UyIievz4Mc2bN48OHTqkqyYNglkZvKag9VrbRjZnZ6oAGGNXIGAMXNZoFwiYcIj09Bcb1kJDmfe6uj4VPNK1XqNEwhjl7DW5uGjXC60LKoW0FDs5GX+fdYQ+1ggvLy8SCoUqvdq3b6+zfugCVcZv3bp1Wm9XHa9qbXXJ5DKe8dY7vjfn9a3Ni6gvrVtl3kDf5b6EMNDlB5eJ6MV4s2MxaN2gGj2j7IYytyg33vmVF1aqPJbVGe+hSaEkjhRz/xCEHw0nQZiAbH604QxeYZiQN07KrnPmgZlcWISicWsshqG6c1yb/7gZK3pPLVyZadOmYe/evejduzcAoF69evj6668xbNgw5OTk4OOPP9ZV0xbURZt6stpIK6wMZamVk5OBvDygTx/gtddQ9ttvsMnKAvr1Y+TCbtxgpMa2bGHK/fwz8Pw5EBICfP89o7ubnw8EBmrev8p4ezMpgGUyZhxZWDmxECVpN5VdI6sZ/PrrQP/+TF+NKY10Zfz9GR3juDggKwsP3n8fXmFhRt1nuVyOhH9l0/z9/VXWdjQGPvvsM9jZ2aFz584QCASIjo5G48aN8cEHH8Be4fu8f/9+eHp61lCTadKsWTOt18lq4k7dNxUxA2N4Wrb5JfkI7KL6eqGob1tZs7aZuBk6eXTi6ckqQ12tW1bzl9XuDegcgFb1lK/F8SnxENuLETMwhtPidbBxQOt6rXHl0RWsu7QOke9EcuPNntt3fR+CugRh0YBFVTR/mzo3xf7r+yGAAEPbDsWyQcsAABP3TsRnez6DUCBUaSwVUxkrkpWXhS6Nu+BT308RtCsIYnsxujftjtT7qZBXyNFY1BjHxx/njZOy68x+no0eTXvg0oNLvBTOlTWIDYW6c9xb7I3EG4mQyWWcRB2gfupnXaC3tVdXFrefnx89ffq0StzJihUrqGXLlhrXL5PJ6Ndff6Xu3btXObd27VqaOnUqhYeHU2BgIB09epR3vqKigmbPnk1BQUE0ZswY2rVrV5U6Dh06RCNGjKBJkybR9OnTq80WZJYeXk3lxLQZB1wdlTeyicXcJq+nnTszZS5dYry+vr7MNfTrR/Taa/zMatqO2a2MKooV1W0SNPb00XXg2LFjhu5CrZjyprVHjx7Ro0ePuPdBQUFKy5WWltJbb72ls37oAlXGT1fzS1teVW16i+sC+9jePsKePBZ4kH2EfY39r84bGJoUStY/WtPwLcOJ6MV4F5UWkX24PdlH2Ff7yLzHbz3IfZ47xV6IrTKWCAO98usrGm0QUxxb1gs8eP1g6hbbjaznWFOP33pUqVfZdbL19I7vzfN6GouHV905rmupOW1g8pvWJk6cSERVA60//vhjcnZ21qhuuVxO8fHx1L59e2revDnv3KFDh2jQoEHc++fPn5OXlxfduXOHOzZr1iwaPXo0EREVFhZSs2bN6Pz589z51NRUatiwIfcHZMqUKTR9+nSlfTErg1cbcmKGiAOutMmrWCR60XbbtoyB6+7OxPPa2zP9GDRIf4ZkTYoV+vjnwAjQxSNnbSOTyWjo0KE0dOhQk08tHBISovT4mTNnyN7eXm/90AaGCmlgUScOtjKGMDoyH2eScI6QBGECLpSANTIRBk7ZQdEYrM4wv3T/EiEM5Lvcl4pKi2jdunVc/wVhAuqxqofSPvRL6Ede0V6ccak4lmyYg224rUYbxCqPLWvk24XbEcJArlHMBraoE1Fc2z1+60HiSDHvOtl6bMNtacb+Gdx1+y73JUGYgEJ2hRhUsUGTOa6PcBhN0HTtNbjBGxYWRvfu3aN58+YREbM7eObMmSQQCLi4Xk355ptvqhi8U6dOpc8//5x3rHv37pzWY3Z2Ntna2lJSUhJ3PiQkhPr378+9HzRoEH388cfc+9OnT5OVlRXdvHmzSh/MyuAl0lxOTNM4YHUk0Spt8qqovMkrMJDx8goEjPSYITylyry1prBJUEvoYlORqWCINeLbb7+lSZMm0d9//02FhYWUnZ1NCQkJ1KRJE+rbt6/e+qENDLVpTdvo2+iYsGsCIQw0/o/xnGG34vwKLslFk5+bVDEyazLMWQUE23BbajK/CbnMdWESZKwfVKP3mvXw1mZcavIPADu24kgx10c2breotIh6x/cmhIHEkWLql9CPXCNdCWGg3vG9edfJlnONcqW2S9py/xy0XdzW4IoNms5xbfzjZqwY3OCVyWQ0ZcoU8vb2pnbt2pGDgwMJBAL68MMPKS8vTytt/PDDD1UM3h9//JFcXV3pn3/+ISKiJ0+eUIMGDTgP77JlywgA5ebmcp+JjY0lgUBADx48oLy8PLK2tqaff/6Zdy1CoVCpbrDZGbxEmj1KV2eTFou63s5Knuk9w4ebxiYvU9gkqCV0IRtlKhhijSgvL6cvvviCrKysuM1qAoGA2rZtS1IT+0fKULJkukCfRke7Je3I+kdrLtSANTLH/zGerOZYUbsl7ZQamcoMc0GYgIRzhOQa5Upe0V5kFWZFgjABRZ2MqtFIFoYJadTvo0gQJiDf5b506f4lItLNBjFprpR6/NaDbMNtaeaBmTztYGGYkOzC7WjmgZlcO70lfCOY/Qck6kQUTdg1getz+v103jVZzbGipBtJetfqNZU5bggMvmnN3t4eMTExmDlzJq5cuYKSkhK0b98erVu31lWTAIAJEyZg2bJl6NWrF37//XcsXLgQcXFxXK72c+fOQSgUws3NjfuMh4cHiAhpaWmwtbVFWVkZ6tWrx7sWFxcXpKSkVNuuXC5HcnJyrf1r3LgxGjdurMEV6gEfHyCy6uYAlVBnkxbAbHILDmY2ty1axHxWJmM2lAUFMRugqtvwVGmT18BXX9X/Ji91Nulpc5OgkfPll18augtaJycnBzk5ObWWk8vleugNH6FQiF9++QVTpkzB/v37UVhYiDZt2qB58+Z45ZVX9N4fXWMq86u6jVe6hIgAvNio9fN/fsbaS2sBMBuyYgbGYNvVbdxGrcqb40a0H4G4lDgEdA7gNqXlF+VjxsEZ+PbQtxjWbhhWDVmFoF1B2J6xHb4NfZF6PxXPip9BIBAg8Z9EtKnfBmkP0vDqilfRtl5b3Hh6A/IKOSRDJbzNZJpsEPNx94G3mzccbByw4D8LuOPxKfFwdXBFJ49OyH6ezbWz/+P9aPxzY7Sr3w4NRQ15mwBnHZwFNwc3nAk6w9u8FzMwBhvSN+A/a/8DNwc3+Db0ReKNRCz4awFWDVlV68ZDTTCVOW7MCHVV8YEDBwAAXl5eGDhwIN5//320bt0aSUlJePToka6aRcOGDXHw4EEQEd58803069cP7733Hnf+4cOHcHV1hUAg4I45OzsDAB4/foyHDx8CANzd3Xn1Ojs74/Hjx9W2+/DhQ3Tt2rXW1/Tp0/H3338jJiYG+fn5iIiIAABERETgyZMnWLp0KS5duoRdu3Zh7969SE5OxsqVK/Ho0SNe2aKiIvz888+4du0atmzZgkOHDuGvv/5CQkIC7ty5wytbXl6OyMhI3Lp1C2vXrsXJkydx9OhRbNq0CVKpFAsWLEBxcTHvM/fv38dvv/2G8+fPY//+/dixYwcuX76MxYsXIy8vj1f22bNnWLJkCdLT05HUrBkqnj3DozFjELdkCR48eICoH34Apk5FRV4eij/+GD///DOkUik2b96Mw4cP49SpU0j/4guUOzsjqkkTVNjZISIiAhV2dpjn6YlykQjp06fj1KlTOHz4MDZv3gypVIqff/4ZMpmM6Yu/P5ZOmYLCjz/GSakUOR98gKOxsfhj1iykjxmDJfv349mzZ7x+5+XlYfHixbh8+TJ27NiB/fv34/z58/jtt99w//59Xtni4mIsWLAAUqkUmzZtwtGjR3Hy5EmsXbsWjxcsQEXbtqDYWGSdPQvExqKibVvk/vILEhIS8Ndff+HQoUPYsmULrl27hp9//hlFRUU4dfcukJaGqB9+wKNHj7By5UokJydj3/btKD1/Hg8dHbF06VI8efKE15f8/HzExMTg77//xvbt23HgwAGcP38ecXFxuHfvHq9sSUkJ5s+fjxs3bmDjxo04evQoTpw4gXXr1iErKwtRUVEoKyvjfSY7OxsSiQRnzpxBUlISfv/9d2RkZCA6OhoFBQW8so8fP8aKFSuQmpqKPXv2YPfu3UhNTcXy5cuRm5vLlR04cCCeP3+OX3/9FX///Te2bduGxMREnD17FvHx8VX6LZfLMW/ePPzzzz9Yv349jh8/juPHj2P9+vX4559/MG/ePMjlct5n7t27h/j4eJw9exaJiYnYtm0b/v77b/z66694/vw5r2xubi6WL1+O1NRU7N69G3v27MHp06dRr149eHl54fvvv+fKFhQUIDo6GhkZGfj999+RlJSEM2fO4LPPPlPpO8+uKfqmsLAQNjY2GDx4MEaOHAlfX1/cuXMH48ePN0h/dMm8efMM3QWjo5dXL5RVlGHinxMhk8uQlZeFTh6d8GXilyirKENvL0ZBSZmRyRrmG4dthLuDO6dowO7yj/klBjEDY+Bi54K45Dj4+/kjY3IGJnSZgIaihhjRfgSjvtA5EEfHHcX7bd7HgJYD4OHogWu519ChQQe42rviow4f8frMKgd4i73VumZvsTfSHqRBJpdxx7LystCxQUdcenCJV6+DjQO6NO4CbzdvbBy2EZHvRHLGt6KqhiLZ+dmQlcnQwq0Fsr/IxuFxh5H9RTbG+41H0K4gXH9yXa1+q4I5z/GioiJ4e3vD29sbRUVFumtIVy7mynG0LE+fPqU33nhDK20oC2kgIjpy5Aj5+/tThw4dyNramhfsPXjw4Cpu78TERAJAv//+O/3+++8EgBfjS0TUpEkTGqwkjSvrSvfw8KCLFy/W+rp3755Wrt2oUScOWJNQCEOiSRyuNjYJWtAadd0pfO/ePZW+8x4eHnoPaVi8eDEvnEHxVb9+fb31QxuYZdiYHmATMgjCBOQ+z528or24+F1BmIB75F9bGIE6Oq7s5reV51cqVWboK+mrk018ysIrZuyfQXbhdlXqrem6q9u8N/PATBKECbjQCFXqslA7+lJp0GpIw+XLlxEREYGHDx8iMzMTGRkZVcrcunULpaWl2myWx5UrV/D5558jOTkZJSUlGDBgAMaPH4+uXbuibdu2aNy4MY4dO8b7TEFBAQCgQYMGsLZmhiQvL69KmQYNGlTbro2NDbp06aLlqzFRKmmwIiSk9pACdUMhlBAREYHvvvuOf1BXusDx8YBYzOj8sqEJDg7M+23bmDGoLjxEmd5uaioTirFqlVFr1tYVpffEyLC3t8e5c+e432tD1fAkQ+j5xsfHY/ny5WjYsCESExMxYsQIEBESEhIwa9YsvfdH15jC/NI3req1QvzQeATuDESRnPGaEZjwhhX/XQEfdx+VdIWV6bhGRERgxjczqtVxzcrLQmv31pj450QEdA7AlG5TsCF9A+o51sN+6X4cu3UMkW9H4tvD3/LCIPJL8rFqyKpatYVruubK4RXJOckoKS9Bb6/e8HRmNKhru+7qNJi3X90OAiHkNf4160Or15zneF3XXnXRqsHbsWNHxMbGYvTo0RCJRGjevDnvvEAgQIcOHRCoC4H/f1m4cCHefvttODg4wMHBAX/++SdeffVVrF69GpGRkfD19cWqVatQVFQER0dHAMD9+/dhbW2NLl26QC6Xw8bGhvcYsqioCPn5+ejWrZvO+m121DUOOCAAWLCAidmNieHH8NYxKURAQAD/gETCxAeLxYxRmZjItLVqFWOca4Kmcbj+/kDTpsD//sckyGjTBggPB955R7N+GRlV7okRYmVlhddff93Q3dAKAwYMQHBwMADg7Nmz6N27NwQCAerVq4eIiAisXbvWwD3ULqYwvwxB5Xjc/OJ8HLhxALMOzcKmy5tUMjKVGX+jPx1drcEozZXi6qOruPTgEgQCATIeZ8BvhR9cHVzRsUFHFMoLQSAcv30cGZMz6pxIo67X/Plrn8PV3hXfHv4WTaObqmRcKzOc2bhkJxsnznBm0UcSB3Oe43pbe9X0QNdIcXExxcbGKj2XlpZG5eXlWmlHWUjDBx98QF9++SXv2Jdffklff/01ERE9fPiQbGxs6PDhw9z5zz77jKfdO3ToUJ502pkzZ8jW1pan5cvyUj9uU0dCrCY0lUT7l7i4OH4fdSn9pWmyjpdEh5d3T14yDLFGjB49mg4ePEhPnjyh06dP09dff01FRUW0fPlyEovFeuuHNlBl/F7m+VVX1FGKqKzc4Pijo1KJrvjkeC5sovJr8dnFXMhCg/kNeGEVLJmPM5WqH1R3XNfXXfkzSTeSDJbEwTLHq8fgsmRETFzGnTt36NatW9xrz549WtPhnT17dpUL/P3336lt27ZUWlrKHXvvvfcoOTmZez9t2jSaMmUKERHl5+dT8+bN6eLFi9z58+fPk6enJxUWFhIRE4/81VdfKe3DS2vw6spQ00J2sTNnzrx4o2vpL03icF8iHV7ePTFS5HI5rVu3jtatW1dtZkV1MMQakZSURE5OThQQEEBEjD65QCAgoVBIQ4YM0Vs/tIEq42cK88vUUTT+Pl39Kc+4y3ycSR9t+YgzbtssbkM9V/WsYvQKw4S08sJKcotyI/twe17MK5swgjWqWd3bgD8ClB5XNLYzH2fShF0TqN2SdtRuSTuasGuCzqTCDJXEwZznuKZrr8ENXl1vmti6dSt17NiRhEIhRUdH04MHD3htDx8+nObNm0fff/897d+/n/fZ0tJSmjx5Mk2ZMoU++eQTOnjwYJX6d+zYQaNGjaLJkyfTt99+W61X+qU0eI3cUDtw4MCLN7reDJeZyWRtEwiYLG51SVf8Eunw8u6JkWLKqYWVIZPJqKysjHt/8OBB2rNnj1aNeX2gyviZwvwyJxTHuzqvrnCOkBAGcvrJiaznWJPVHCsK3BnIeUO7/9ad2/DGbjYL3hXM85yO2DKCEAYauWVktR5Vxfatf7Qm6x+tufZ1ZYQaIomDOc9xk9y0poiuN00MGzYMw4YNU3pu8uTJmDx5crWftbGxweLFi2us//3338f777+vSRfNF002aumB58+fv3ijxc1wVVCMDe7enanv3Dlg4EBGS7i2TWf60OHV1Wa9OsK7J0aKUCjEO//GTguFOlNs1Bu2trZYv349zp8/DxsbG7z99tsYPHiwobulE0xhfpkT7HhLc6UI2hUEAGjh2gIFpQVo36A9Wri2wOq01QCAQnkhrIXWEEKINWlrUEEVWDZ4GUIPhqKfdz8ALzSCYwbG8HRvvVy8IIAAXq5e3IY5Re3gBacWYFXyKgDAeL/xWDpoKQBg4t6JWJ22GkG7gtDTqyd83H0gzZUiPiUeWXlZ8BZ7I6BzAFrVU28tNISesjnPcX2tvTqrmd00MWTIEIjFYvTu3Rt9+/bFjBkzOD1MCyaCVArMmgWMHs38TE836oQJ7dq1e/EmIADIy2M2v8n+1WZUczMcD8VEGdnZwOnTwJMnTH3/alDXirc3kJb2ol8srDHu7a1e31gkEqBdOyA2FnjwgPnZrh2QkKBZvWrAuydGioODA5KSkpCUlAQHxX+OTJCcnBz4+vpi3LhxWLFiBTZt2oRhw4bhrbfeqqJAYw6YwvwyFqS5Usw6OAujt43GrIOzIM2V1rkOdrzjU+Jha20LNwc3DGs3DM9LnyP9YTp+/s/PENuJYWdlBwCoqKhAOZWja+OuSA1Jxfm753kb3qrTvb1bcBdiezGy87N5x1lVhBO3T3DtLxu8DA42DnCwccCywcsgthPDxsoGcclxkKRI0G5pO8Qmx+JBwQPEJsei3dJ2SEhNUGMEDYM5z3F9rb06M3izsrJw6NAhPH36FO+99x5CQ0Mhk8lw6tQp7N69W1fNWtA2yoymP/9kPJm6MtQ0JDEx8cUbVvpLImHUEPr3Bzw9mfeaSH8pernZLyjr5XZxYbzctaErYxyoapAfPsz8HD+ekUG7rjuBdGXw7okFnTN16lS0bduWk2e8e/cuZDIZvvnmG3z77beG7p7Wscwv1dCW4ceOd1ZeFlzsXODb0BcTuk5AaVkpnsqeYkbSDLza8FW42LmgvkN9VKACFVSBW3m30CW2C+JS4hDRP4JTSFCWMAIAPEWeyCvOQ1PnprzjrCoCAK59RWPZwcYBnRt3houdC9IfpiN4dzACOgfoPVmENrHMcc3RmcEbEBCAoUOHYubMmejRoweKi4vh5OSESZMmoU+fPrpq1oI2qc5oGj4cKCxkJLW0bahpgSqyd/7+QEYGMGEC0LAhE8aQkaGZJJk2whF0ZYwD2jHItYgupQgtVKW4uBi///47/Pz8eFklhwwZwntvLljmV+1Ic6VaM/zY8fYWeyO/JB9pD9LQ1KUp4oYy60pCagKO3z6OR0WP8Fj2GAIwcy5XlovGzo0hthfju8PfcYZ2QOcA5BXnYeq+qZzRK5PLcDv/NgiEW3m3eMdZSbTeXr259hWNZZlchpScFOSX5CO3KLdKpjg2LILNFKcp2vCa14ZljmuOzgzed955B48fP0ZsbCwAYNGiRUhMTMSuXbuwbds2XTVrQZtUZzStXg04OgK//659Q00LLFq0qOrBf/PJ4/lz4OhRYPp0JjxDquLCVDmsw8VFO+EIujDGAf3EB9cBpffEyCgqKkKHDh3QoUMH3aa31APVPf4sKSlBcnKynnuje0xhfhkaxThZTQ0/drwDOgdwXt2Jf07ERx0+wqXPLqG1e2uu7OBWgyGAACPbj8SU16fgzWZvItAvEB+2+5AztFndW0mqBE2jm6L/6v7w/MUT269uR2DnQGy/up13XJIqwaohqzDjzRm89mVyGWRyGSbunYi8kjzIy+Wo51hPabiEtpJF6CtcwpznuL7WXgERawlol/nz56Nly5bVbiwzF5o2bYq7d+/C09MT2dnZtX/AlBg9mgljWLmy6sankBDG6O3U6cXx2rKpGQp2c5m9PeOZZj1cjo5AcXHtCSgqJ65IS2NCESoqmGuunChDImGMVkOOxaxZTPhJdnbVzXqensz9M+DGQmOksLAQIpEIAJNZ0cnJSSv1GmKNmD17Npo1a4YPP/wQYrEYDx48wNGjR7Fo0SK8+uqrSDBAHLe6mPUaq0dGbxuNBwUPcHjc4Srn+q/uj4aihtg4bGOd601ITUDAzgAQCNZCZh98WUUZhAIh4obE4drja1h8bjFkchlcHVzh29AXaQ/S8FT2FNZCa/i4+2Bom6EI6BwAgUDAJYzwFnsjsEsgiAg/n/4Zx28dBwD08uqFr976iguHUKX92ORYZH+RzRn6AOMF9vzFEyFdQ9TegCbNlaLd0nYI6ByARQMWcRnZpu6bCkmqBBmTMzROpPEyoOnaq/IaoY6EhCq4u7vTd999p/RcRUWFrprVO2YtSxYaSuTkRCQU8vV2hULmuCFks1RIdhEeHs4vb2VFNHIk0+/gYKLc3BcSaiNG1CylVpMEm1D4Ymx69GBkyQQCRqZM0yQcmqKJPrAO4N0TI6WsrIyOHDlCR44c4cl5aYoh1oiSkhIaNWoUp70rFApJIBDQf/7zH3r27Jne+qENVBk/U5hfhiY0KZTc57lz8l4sRaVF5BblxtPErY3K4y3NlVLIrhBOBzdkdwgn1TV4/WBCGHiSY3OOzuHkyxwiHEgcKa42kYXVHCtyjXQlr2gvsg23JUGYgKJORKncPit5Vl2yiJBdIWontGDHVCbnS0uqM6a1Yc5zXNO11+A6vJs3byZJNTqk0dHRumpW75i1wZuYSAQQtWnDGIlEzM82bZjjSvSLdYqKyS4eP3784g2rdTtzJl/zltW6nTmzZs3b2rRyQ0Kq6vAaS7Y0LWWu0wa8e/KSYcg14tKlSxQTE0OLFi2i06dP6719baDK+L3M80tVajP86qIlW5fx7vFbDxKECehJ0RMiIoo8HkkIA9n+aEsIA1nNsSKrOVbUO743rx9sf3tLepMwTEju89ypd3xvsgu3I4ShitFbE8qSRQjnCEkQJqgxoUVtjNo6ivolKNd575fQj9MZ1gaWOV49qq6xOovhTUhIwE8//YSuXbuif//+3Outt95CaGiorpq1oE0OHwacnJgd/a1aMbG6Pj7Me0dH4OBB/fWlDqoDW7ZsefE5NpY1O5sf08rGsmZnv4hprRynK5XWHgubnc3IkAUFMbJkZ84YVA2Bh67ig9WAd08s6I1OnTphypQpmDp1Knr06AEAuH//voF7pX0s86t2qouTZeNh6/LovS7jXc+xHgDg66Svkf4gHbMPz4at0BYfdfwIAgjwfy3/D+P9xuPUnVNwsnHiYonjU+LhbOuMk7dOIrBLILK/yMax8cdw78t7sLOyw6xDs1TeaOfv54+MyRmY0GUCGooaYkT7EQABQV2CNNrAV526BKsi4S32VnmcasMyxzVHZwZv48aN4ebmho4dO6J58+bcy8fHBw0aNNBVsxa0SVYW0K2bcqOpe3f9bnyqg+rA/wHAG28AzZsDx48DFy4wcauKm8zYzWVNmzI/8/OVa9bm59e8OS0316jUEKrg48PE6m7cyPw0UFzxG2+8YZB260JZWRn++OMP/PHHHygrKzN0d+rE7du3VXrdvHkTUVFRhu6u1jGF+WUMVDb8QrqGIGNyBvz9/OtUzxtvvKGyMkEnj06wt7ZHXEocOq/sDAKhnMqxIX0DHKwd4NfQj9s45+rgym0iy8rLgos9c0xxo527ozt6NO0Ba6F1nTbasckiNg7bCHcH9yr1qrOBrzp1CVZFgtUZ1gbmPMf1tfbqLNPapEmT4OjoiLZt21Y5t3//fl01a0GbsFnKPD35G5y0kaWsrqiqOhAQgJYSCbMxTSwGnj1jjq9YwWxYGzeO+f2bbxhj9tYtZgPagQOM93jRoqob0IiY3ytvTsvPB+rVMyo1BGPlzp078PPzM3Q3aqSkpAQffPABAGbjhLW1zpZHrdO7d2/cuXOn1nJEBIFAgF9//VX3ndIjpjC/jAVtZAmTpEqwdNdSiO3F8G3oi8QbiVjw1wKsGrKqivEsthNDViaDrdAWVkIryMpkKKdydGnUBWkP0hDYJRAONg54teGr+OvOX5xX1Fvsje1Xt6OHZw/cybvDZUnzFHki9X4qGjs3VlthobpEF9n52XC2c8aGyxsAoNZsbKzXPGhXELZnbIdvQ1+k3k9Ffkl+nb3mtWHOc1xfa6/OVvQuXbpUe27AgAG6ataCNgkIABYsqN7Yq6suoCZpblVJEZyUBEgkKGzYEKJRo5jsZ+fOMeUKC5mfv//OvAQCpp7t24EBA5hQhOpSJb/xBmP4bt/OGLesR3jVKuDaNcYbrIvUxWaEKWi/CoVCvPnmm9zvpsTEiRMhFArRpUsXWFlZVVuurKwMq1at0mPP9IMpzC9toM30uJr0YcmtJQjsElhFmUAxlS9b9rsj36FP8z44cesEhEIhrARWKKdyJN9PRnjfcPi4++D83fM4efskyqkcT4ufQporRUDnAMw7NQ9/3fkLbZa0gZuDGzo26IgdV3egpLwEpeWlaocMeIu9kXgjETK5jPPwSlIkCN4djAqqQDNxM8Qmx1ZrxCvi7+ePnl49OXWJkK4hCOwSqHV1BnOe43pbe/UTUmy+mPWmNSLtbXxSccNZtaiiOtCjBxFAFVZWRK6uzMY6OzvmPEDUuDFRs2bM7337MhvSpFJG8aGf8o0H1K8fc14qZcoPHsy0M3gw8z4x0ajUEIyVlJQUQ3fBYOhjjXjy5Ak9evRIpbLZ2dk664cuUGX8Xob5xSoWaLLJShuEJoWS+CexSsoEiioG0lwpTdg1gQRhAvL82ZMQBrKPsKfWMa05xYZXFr3Cu66ZB2YSwkDCOULqGd+T3KLcyGqOFTVa0IgQBjp4Q72N05U38LHv2yxuQ8IwIUlzpdyGPmGYkEJ2q6/koC1ehjmuLgbftGbBTNDGxqeaNpwFBgKffcbfKKYMVbKS3boFALj6xhtMve7uQE4O0w7LtWuAmxvQo8eLmFZv79qTSPj4AK1bA/v3A5mZQFER49kdOJAZC11kSzMjzpw5Y+gumDVubm6oX7++SmU9PT113Bv9Y+7zS5tZ0lRtr7r43Ky8LDREQ5USOSiGDvi4+2DleysRPzQe9wvuw1rAPGDOfJIJgNHX7ebZDQF+AfiwLZOU4nnpczhYO4CIcO7uOTjbOcPJxgmPih7B0doRB/9Rb+N05Q1876x9BxVUAWmuFHFD4+Dj7gMHGwe81uQ1VKACq9NW6zSphCqY+xzXBxaD10LtaLrxKT4eEImYmNqAAMawzc4GXnuNSd6wejV/o1h1ovi1Gd//PvLxWL4cuHuXCT9wcwPCwl6cVxZbGxDAxPFOnVp9quSajPaEBCYG2AjUEIyV4cOHG7oLFswYc59f2sySVhu1ZQ7zFnvjkfCRSsoEylQM/P38kRqSCmuhNZxsnGAttIaVwApXHl3Bg4IHiE+Nx/aM7bCzssPxW8fRo2kPZE7JxJc9vsSbzd7ExNcnImNyBro37a5RljTFDXwA0EzcDNemXIO/nz+kuVKE7A7B53s/h5ONE/o276vzfzJqw9znuF7QlYt5//79So8nJibSw4cPddWs3jH7kAZt0K0bo1NbOZxBIGDCDIYPZ8ppGgrQty8RQI/q1yeaOpVpJzv7hW5wv34v9HMr6+7WFrpRmx6vIZJwmBCmIJpeVFREr732Gr322mtUVFRU+wdUxLJGaIYl8YT+9F7ZR/uKSSIqa/VmPs4kYZhQJT3f2rR/+0r6kiBMoLQ9QZiAWi5qqbVkGTWhmJSDDR2xj7An6x+tCWEgQZiACx3RRVIJVTDnOa7p2mvwkIadO3cqPf76669j6NChumrWgrEhlQLnzwO2tszvrGe0Y0dG/aCg4IXHWFM5rx49ADs71H/8GFi8mNHFbdqUCWOwtQW6dq1+w11t3mNVVSIsKOW7774zdBdqpaKiAhcuXMCFCxdQUVFh6O5YqAOmML80QV96r6p4klvVa4W4oXEq6fnWpv1bXFYMAJj3zjxee/PemQcAcLZ11ovsFysvNu6PcQjaFYSAzgEY5DMIDRwbwEpgheHth3NeXWWhG/rAnOe4vtZerao0XL58GREREXj48CEyMzORkZFRpcytW7dQWlqqzWYtGDOsfm5+PiMFxqo9tGwJXLrEGLyKxqcmBuS/qhLSVq3Qys0NuHGD0cm1tgbkciZkorCw+thaNnRDGaqoRFioloiICKNfsO3s7LBnzx7ud1PmwIEDePfdd6scT0pKgp+fn9lpoZvC/NKEgM4BWPDXAkzdN5UzRnVh+FUn11XZyMvek42MyRlKlQmUKUlUV3br31tBIITsCYGXixfuFtyFp8gTt/Nvg0DwdPHEtB7TdC77xRrmATsDAACZuZk4m30WxeXFWPnflRj76lgc/Ocg4pLj8H2f75F6PxUhXfW75pvzHNfX2qtVg7djx46IjY3F6NGjIRKJ0Lx5c955gUCADh06ILCuclYWTJesLKBzZ+DTT5nMY6y01+nTjIf39df5xqcmBuS/G9t8goIYI9vXF0hOZozt119nNpQFBqq3kUxRom3qVGDDBiaLmlSqnkSbIdBEFk5Dpk+frpd2NMHa2hqDBw82dDe0ws6dO5UavK+//joGDRqEv/76ywC90h2mML80QV96r8rkuoAXnmTWyJs+fTpEIlEVPV9W2kuZPq8y7d9OHp1w8J+D+P3v3yGAAGJ7MfKK80Ag2FrZopNHJ73Ifklzpbj2+BoaixqjQF4Aka0In/p+iriUOJy/ex5jXx0Lv0Z+uP70uk6SSqiCOc9xfa29AiIibVdaUlKCNWvWIDg4uMq5S5cuoWPHjianc1kdTZs2xd27d+Hp6Yns7GzDdMKAhkytzJrFeFazs5mNZHFxTD8dHZk+s8Zv5WQPGRm1G6bVXHf87NkIIHpxXF0jtzIJCUxdFRWM1xgAysqYzXDx8ca9SU0iYTbdsf8IpKUxG/VWrdJLv6Ojo/HFF1/ovB1jRF9rROUnbK1bt65Shn3CpkqSCmNBlfF7WebX9SfXOcPPW+ytE8Ov3dJ2GO83voonWZIqQcbkDPi4+yA6Ohr//fS/PE9u/xb9MXD9QAR0Dqiiz6v4WUWSbiThP+v+g6YuTdHIqREeFj2Eh6MH7hfcR/bzbBwcexBvv/J2lT5qQ4uYredw1mGcv3seYjsxXOxdcCfvDoQCIVYNYfSqg3YFQWwvRn5JPqyF1pCXy2vV5q2uLU36/LLMcXVQdY3VicHLUlhYiKdPn/JiMtLT07FlyxasXr1aV83qFYMbvAY2ZGpFKmWUF8aPr5q8Ij6eKePqWjWhQ219r+G6M3r0UJrhTyvX0rYt0KkTI1HWsiXw8cdMdjZVjXRDwN6D6jLJ6aHfGRkZurknWqS8vByHDx8GAPTv37/GBA51QZ9rRH5+PkaPHo0bN25USUUqEAjg5OSEwMBAk8rYpMr4mcL8MhUSUhM4I6+yJ5k18ub+ORffX/ieK5P2IA1PZU9hb22PSa9PQvbzbM6wa+rSFJ6/eCKkawgi34nkGX9ZT7NwMeci5BXyqh5eoS2+fONLnmdY0YPc2r01Uh+koqSsBAN9BuLXAb+qZERKc6WYvn869l3fBxsrG5SWl8LOyg7ycjnmvj0Xsw/NRqt6rXD9yXVkTM5AsbwYn+z4BGkP0uDXyA+ezp7o5NFJZaO1stc77UEa8orz6mw0m/Mc13TtVXmNVWdHnSosXryYrKysSCgUVnnVr19fV83qHYPuwGaTMQQHG3fSg5oUENiEDqNGvUgEURu1XPfemBjdXIepKjUYQb+3bNmi8zY0paCggAAQACooKNBavfpeI4qLiyk2NlbpubS0NCovL9dLP7SFKuNnCvPLlJDmSik0KZRLtlBZeUEYJuSUFTIfZ9KM/TPILtyOEAZynutcJTEGqyRROXmGzY82hDBQt9huNPPATBq1dRTNPDCTRmwZQYIwAQ1eP5jXLqsgseL8CrKaY0VuUW7UeGFjJjlFmLDWJBxs+wgDNV7YmOwj7AlhoCVnl9CIzUybvst9uUQYXtFe5BblRoIwAQnnCOuc9EMV1QtVMec5runaq+oaq7PUwvHx8Vi+fDkaNmyIxMREjBgxAkSEhIQEzJo1S1fNvlywG8KqS4kbF1f9Jix94u8P9Oz5IpwhJIQfZqCsjzWFadRy3e1OnQKmTFG/v9W1rUypgS1rYwPs3Glc4SQsRqAw4erqqvM2NEUoFMLX15f73VSxs7NDcHCw0idsd+7cwc8//2w2T9hYTGF+mRI+7j5KY24BRsnBydoJMQNjsDF9I4J3B8PB2gEl5SUAgOelz/Gflv/B3jF7MXXfVATuDISznTM+6vARlzyDDXno/lt3nLt3DhdzLmL9sPVcyMOToif4/e/fkZKTgtHbRsNb7I0nsicQ24sxtdtU+K304+oBAM9fPNHQqSECdgZg699blXpg2eQdHT064nbebfwz7R98uuNTnLx9ElP2TYFQwHznnxY/hau9K54VP0NBaQFGtB+BuJQ4paEalVMpKxsrVvWC3QjIql5su7oNcclx1Y5zZcx5jutr7dVZzQMGDEBwcDCGDBkCsViM3r17o2/fvpgxYwYiIiJ01ezLhREYMipTl+QVEgnzCD42VnlCilqu2/nJE/X7WVPblTOyKZZ98gS4ebPmxBmGQpVMcjrG2dlZ521oioODA1JTU5GamgoHRSUOE2TJkiUQi8Vo3rw5WrRowb2GDBmCP//809Dd0zqmML/Mhay8LLR2aY07eXcQvDsYb3m9hUJ5IQQQcGVmHZqFmHMxmPfOPFhbWSO/JB8CgaCK5FkDJ0YtxFpojZUXVgJgNsh9sPkDAMCjokdc8ovfkn+Dh6MH1qev59XjYOMAN3s3ZORmgEA4cesEVlxYUSUjGmt8tq7XGn6N/GBvbY+Wbi1RJC8CgdDRoyN6efXCm83exI0pN2BrZYunsqdK+61q0g9VVS9UwZznuL7WXp0ZvFlZWTh06BCePn2K9957D6GhoZDJZDh16hR2796tq2ZfLrRhyEilzMay2lL76ouaMpoFBTHKCLVc9z0bG920/fbbwLNnwBtvMCmFAwOB998HhgxhFCfOn+f301hQJZOcjrl69arO27DwAvYJ244dO/D555/j8OHDOHToEMaOHYuTJ08auntaxzK/9Ie32BsZzzKw8sJKiGxFOHX7FFq4tcCbTd+Ek40TVy70YChaLGoBebkcr3u+jrySvCrGXyePTpx3eOHphXCa6wRxpBjHbx+HtcAaU7tN5TKcvdrwVWTkZuDknZMQ2Yowfud4zDo4C9P2TcM/z/6BlcAKYjsxisuLkV+Sj7e83uJlRGONz5ZuLTlN44DOAYwxDgG8xd5If5gOT5Envjn4DcrKy+Bi54Ljt46rbbRqqp+smOI5/HQ4L8WzhbqjM4M3ICAAQ4cOxcyZM9GjRw8UFxfDyckJkyZNQp8+fXTVrHGjbeNSU0OmNk+qrvuvDMVwBfY/vcoJKWq57gahobppOzqaOZaWxqQSJmJCR1avZjbadeyoWeIMXfGvXBskEiYRR//+gKcn8746TWIt83//9386b8PCC162J2yW+aU/AjoHoJiKsePaDrjYuUBsL8Z7rd7DhZwLKC4rxsGxB9HUpSmEAiHa1m8LZ1tn9Pfur9T4E9uJISt78V4ml0FOcgBAGZXhs9c/A8AYl2s/WAsAOHn7JO7k3UHO8xwsv7AcMediAADHxh2DUCDE1G5TEdA5ACdvMYYx64Fl2x/TaQyXzKKpS1O81uQ1EAh7pHvwtPgpVqUwiTLihsahS+MuAKC20comtFAncUblFM9/lfxVxWttoW7ozOB955138PjxY8TGxgIAFi1ahMTEROzatQvbtm3TVbPGS12NS1XQxJBRxZOq6/4rIyuLUUCYM4dvWCuGadRy3XHHjqnftq8vcOcO37DPzgbatAH27WP+iUhPZ9QaGjRgyguFTIwyYJzhJEDtmeR0TIKxhXkoQSaToW/fvujbty9klZ8emBgv2xM2U5hfpg7rbfz+6PdoSS1x8+lN3Mm/g4qKCiSkJaCkvARvNXsLnRt1RmFpITydPfG46DEK5YUI7BJYxfiT5kox+/Bsrn4XWxf08urFhUawMbUsih5WAiEzNxPF8mLu2KJzi5Bfko+Q10IQMzAGYnsxxPZizgPLth9zNgbLBi+DJFUCz1888fejvwEA5VSO7p7d8flrnyNjcgY+6vARUu+nopdXL7WN1toyzVUX+8vGGwd0DkD2F9k4PO4wpsqnYrzfeJ7X2lzQ29qr5qY6C/+i0u5AXaspqKN0UJed+/pUgxg0iAhg+tCvH9NHKyuilSur9kud666J0FAiJyciofCFooS7O/PexobI3v7FeLHjl5vL75exKzZYqBZzUWkgIkpKSiInJycKCAggIqKpU6eSQCAgoVBIQ4YM0Vs/tIFBlXAsEBFVUVdwn+dOwjAho44wR0jT/pxGUSeiyGqOFafWIAgTkCBMwFMykKRIuHq8or04NYSIYxGcKkS32G4kCBOQXbgdhSa9WEdn7J9BgjABBe4MpD6SPtxn2X4gDLy2esf3JttwW14diu33WNWDU2kQhAlo5JaR1SopKH6uX0I/cotyU0mlgaUm1QtlhCaFkvs8d5LJ+X+fi0qLyC3KjXdN5oC+VBp0ZvDm5+dTcHAwffrpp0RE9PjxY5o3bx4dOnRIV00aBJUG2ghkoaowahRj0CmjXz/mPAvb//R0voG5ezdjBLZrx7zPzNSsT5mZjHEpEBD5+zPjU1TE/C4QqGxch4eHq9d+YiJjbLu7E33wAXNN584RtWnDHPf15ffVyoox+nv3ZsbEGCXhjAS174kekcvltGXLFtqyZQvJ5XKt1Wsog00mk1FZWRn3Pikpifbs2aPVa9MHqoyfKcwvU0WZtNb3P35PQTuDSBAmIISB7MLtqHd8b3KZ60IIAzWY34AEYQI6eONglfpY488r2oscf3Kk7r91r9KeIExA9hH2NHzLcCJiDL1XFr1CgjABRZ6IJKs5VuQa5cq1hzCQe5Q717/cwlyyDbclQZiginGpzPhUxaCtq9GqCaO2jqJ+Cfy/z+wcZyXezAlN116DG7zjx48nDw8PGj58OO/4hx9+SOvWrdNVs3pHpYGui3GpL1gjlvXYsigzwkeNImrblq+l6+TEGIFCIZGHxwtPrESieZ9iY6vq9gKM95clM5NvfCsY22r/QWe9ywCRtTXzYq/R2pox7hXHi9UXFgiIvLz4+sIWeJiakaVNLB5KzVBl/F7m+aVrlHkb5XI5523sK+lLgjAB2Ybbkle0F4kjxSp5P0OTQsk+wp7c570wVIkY49YhwoEQBrKPsOcMUEGYgBwiHHjGN2scs4a3OFJMfSR9OC9z1Mkola9TnwZtbbBjrjguimNubh5eTVF1jdVZDG9KSgquXbuG1157jXf8P//5D3744QddNWucGIEsVBXqsuHNxYWJ9/z0U+DoUSaGtqgIcHNj0ux+8EHN8b+qwsbQBgdXjTft3p3pB1BrPPHChQtrb6vyBrykJCZGt3FjJkZ35kzmuv7VBkTHjkBJCX+8PvoI+PBD5vdOnfQeF2tKqHRPLGiN58+fY8KECRg3bhwAIDc3F/Pnz+eyGZkblvmlO5RJay1cuJBTKWjk3AiZUzLxZY8v8WazN7kY2NqyiAV0DkBpWSmeyp5i4p8TIZPLIJPLMHHvRBSXFUMIIcb5jkNDUUOEdA1B4ieJKC4rhrXQGvPemQcHGwc0dWmKXs17gcAkjCUQ/rrzF0rLSxH1dhS+eesbXpuKqgezDs7iqR6w2sMbh21E5DuRWk3ZXFeUbXaLXBCpUtywhRrQlcU9ceJEIiKKiuL/h/Xxxx+Ts7OzrprVO3WK4Q0KMq6MaDVlQFNkwgTG09mzJ3Pe3p7xeNraMsf79mXKaRqioYrXmR1LX1+i4cOZY5cu8cby5s2bNbcTH8+/bnd3xktrY1O1/aIiIldX5poHDVJtvCxUodZ7YgSUlZXRyZMn6eTJk7xQAE0xhIfXnJ6wqTJ+pjC/TBVl3sabN29qxdsoSZFw3lnrH63J+kdrLi5YmYe4+2/dmfCFSqEHUSejyCvai7yivSg0KZSSbiTxvLWZjzOVxiHXJQ5X31QOsxDPVc1zbopouvYa3MPr4eGBnJwcCATMjstnz57hq6++woYNG/DBBx/oqlnjxAhkoZSi6s79/HzglVeAkycBa2uAFcAuK2NkvI4dY7y6mioUqOJ1nj4dKC8Hbt8GcnMZ727nzsDrr3NyYDXqjLLqFMOGMe01bMj8bNoUkMurtg8w11VSAixaZFClA1PGFLRfi4uL0bNnT/Ts2RPFxcW1f8CIedmesJnC/DJVlHkbDx8/rBVvo7+fPzKnZCKkSwhaubdCK/dWCOkagmuTryn1EPfz7gdXe1eM9x3PeX73f7wfjwoe4X7BfTQRNYHYTowB6wZwcl6xybFot7QdAncF8lQPsr/INmrVA38/f2RMzsCELhPQUNQQvRx7qeQ5N0X0tvaqa5HXhkwmoylTppC3tze1a9eOHBwcSCAQ0Icffkh5eXm6albv1Ml7U5uqQA1xqQYlNJTxcIrFRDNnMpvU7O2Jzp9/4f0MDdXOJryavM6ZmYwntnFj5Z7yHj2IRo2i48eP13wtTk4v2ujRg+k/G7vbq1ft8cMW6kyN98RIKCwsJB8fH/Lx8aHCwkKt1WsID685PWFTZfxMYX6ZMjx1g996kO2PzIawQesGUeZj/f2dYjfQBe0MoqLSIopPjidhmJDswu1IECYg0U8iQhioj6QP55G+dP8Secz3IISBAncG8vqr6KXOfJxZxStsTJjzHNd07VV1jbXWlSFtb2+PmJgYzJw5E1euXEFJSQnat2+P1q1b4+nTp7pq1rhh0+sqQyJhPI9iMRM3mpgILFjAeIAN7UEMCADmzWNidn/8kfFwtmsHfPIJ43nt1o3x8Gojc5e/P6NpGxfHeIpDQpj6fHyYWFs7O8bbypKdDbi6Mlq4588Dr76K8vLy6utPT2fij4OCgK5dgUmTGM+wiwvw8CFw4gQQHg4UFgI3bgBeXozXd9Ei9a/JQs33xEhwdHSE1NCZBrWEsidsP/30EzZs2ICxY8cauHfaxxTml6kizZXi2uNrGOAzAFcfXcWZu2dgK7BFN89uOHP3DNotbYdVQ1bpxfPI6toG7QrC1r+34lnJM9hZ2aGsogzxQ+Nx8vZJJKQm4NitY/jiwBfwFnvjuyPfQSgQQgAB1qevR0JqAlYNWYW3mr2F+JR42FjZYHXaasw/NR8udi5wsXfB9qvbMe/UPES+HYlven5Te8f0QOU5Ls2VIj4lHll5WfAWeyOgcwBa1WtloN5phr7WXp0ZvCyOjo7o1KkTKioqAAA3b97E4sWL8csvv+i6adNBMQnEokXMI3T2UX5QEGMAaivsQSplMoplZTGb5QICmJCLmmjVikml++efTCiGnx9jeF67Bjg5MYbm+fPMBraBAxlfqSZU948Bu6ntwgVmbF57jTFYxWJAIGBCHeLiYC8QAH37Kq87N5f5OWEC0KPHizGXyYB69Zhz//sfs0kuM5Mx4OPiDBd2Yibk5OQYugsvFd988w2+/vpr7N69GwkJCcjKykJxcTE++OADLF682NDd0zqW+aUbJCkSBO8OhthejNburfHPs38ggABjG4zFqqBVXAKGoF1B6OnVUy8bvfz9/NHTqyfGbh+L5PvJmNJ9CkK6huDErROIT4mHldAK1gJrJKQyyTD6NO+D1xq/hkXnFmGQzyC4O7gjcFcgQIDYXoz8knyUE2NM5pXkQSgUoodnD5y9exahh5isncZg9CrOccX74tvQF4k3ErHgrwV6+8fDZFHXBV0ba9eupQYNGpBQKOS9WPFzc0Erjyv1pdOrbLOWqpuulG0W27uXqFkz5pG/nR1R9+7akSerDnacVq5kpMIAJrzB1ZX5/d13iYKCqEIoJAoJUR4aMnjwC01ddszZsAiA0dRV1Ba26OlqhevXrxu6CwbDkLJkt27doj///JN27NhB165dIyKiJ0+e6L0fmqDK+L3M80tXVNbfDU0KJbcoNxr/x3guIQOR4ZIhKGrVsn31Xe5L7vPcqXd8b2qzuA3ZhduR1Rwr2pOxhxAG8l3uS+eyzxHCQJ2WdSL/P/x5oRCCMAGl308nIkbLlw2VMKREGQs7x5XpIldOlPGyYfBNa1OmTMHAgQOxZ88eHDp0CIcPH+ZeH3/8sa6aNU1Yz6W9Pf+4NtPU1jWVcGXYjXeXLzOfPXsWGDOGScPbpw/w9Clw5kztdVaWA6vLYwx2U9v580wb9vbAG28AzZszIQ1LljBe34oKYPVq5SmQO3VivNJpaYz3dtAgxmsdH88cf/NNpk5fX8bLbPHsagVTSCdeXFyMwYMHY/DgwSa/aY2FfcLWpUsX2Nvb4+bNmwgPDzd0t7SOKcwvUyM+JR5iezFiBsbAwcYBWXlZ8Gvkh6WDlsKWbBGXHAcAnDwZm8JXX3iLvZH2IA0yuYzr67oP1yGvOA9n7p4BAHT37A5nW2d8e+RbCAVCpD9IR++E3hBAgIzHGVibthave74Od0d3uNm7wdXeFevT1wMA3B3d0aNpD1gLrblrNSTsHK98XwDmHsQMjIGLnYtR9LWu6Gvt1ZnB6+XlhXnz5mHgwIHo27cv+vTpgz59+qBv376YM2eOrpo1TfSh0xsfzzz6j4lhDGmA+RkTw6kb1EplVYd27Zg69+9Xrc5a9HNrRVHtYu1axuA9coQxwr/4AhgxAvjsM8DGhokrVmbUBwQAxcVA27aAlRUTxhAQAAwfzhz/+GPDaSObMdOmTTN0F2qlvLwcf/75J/7880+Tjwldt24dPDw80LBhQzRv3hwtWrRAixYt0LJlSywyw3h0U5hfpkZl/V3WwASAbl7dOANXJpch9X4qvMXeOu+Too7uE9kTTj3ixtMb8G3oi5ZuLfFWs7dQWl6KrGdZ+Cv7LxTIC3DpwSXEDYnDtSnX0FzcHADQtXFX7P9kP4QQIjs/GyJbEVrXa827rksPLqGxc2O9G/PKYOe4Ml1kwHD/eGgDfa29OjN44+PjsXv3bqXnzp49q3H9xcXFWLRoEXr06ME7fvr0aQgEgiqvrl278srt3LmTd/6zzz7jnd+yZQtGjx6NCRMmICIiQuP+1khdkkCoiypeZFW8r2x87caNjFHYpYtqnml1PMzK+sMa3e3bA8+fAx4eTJ9+/pkxVAFGXuz4cabeygY4azRLpczmt1OnmH8Gtm0Dli1j4nm1NeYWOBYsWGDoLtSKra0tJBIJJBIJbG1tDd0djXjZnrCZwvwyNRQ9qMALebKJeyfi7O2z8BZ7czG8+kiGIEmRoN3Sdpzc2NarW1FBFYhPjcfuzN04cfsEmvzcBKfunELU21EY5zsOZRVlICIE+AXA388fns6esLe2B4EwqNUgDFg3ABmPM1BBFbiTfwdn755FfnE+77qeyZ7pxZivDXaOV74vLPr8x0Pb6G3t1VYMxcCBA6lfv368V8uWLalPnz68Y3369CF3d3eN2pLL5RQfH0/t27en5s2b885NnDiRZsyYQatWrSKJREISiYT++9//0vfff88rN2rUKIqOjuZeWVlZ3Ll9+/ZRy5Ytqbi4mIiI3nvvPfr111+V9kVr8XmqJoFQl9qSOlROqqBKLG5d0hPXNU65pnjj+PgXMbzu7i8kxfz8mJheKyuiFi2YYwf/zeVeOYWzVMpcs0DAxOx2725JJGFBJxgihvfVV1+lnJwcpef++ecfjerOycmhDz/8kFxcXKhly5a0bNky7lxpaSl99dVX1LBhQ2rYsCFNnTq1isxQcXExhYSE0KRJk+ijjz6i06dP19ieJTWzYagsAUZEtPLCSi5RRPffunOJHyJPROpU0qumuFVhmJBG/T6KBGEC8l3uS+kP0rnzvSW9uZTDiokq2Hjd8X+Mp6LSIgo/Gk4IA/dymetCVnOsqHd8b6OLi1V2X4pKi2jE5hEkCBPQ4PWDjVJWTZeoukYIiDTdUs8wbtw4SKVStGrVCkJh9Y7j8vJyHD16FLdv39a4zdDQUGzatAlZ/3oSKyoqsHv3bgwdOpRX7q233sLSpUvh5+cHgBEpT05OxtSpU5XW27FjR7z//vucZ3fTpk0ICQnBvXv34OTkxCvbtGlT3L17F56ensjOztbsgq5ffyHH5e39Qo5LG0ilTPjA+PEvwhpYL3J8PKNyoEwlQiJhPKrK+lFTnZU/N3o0E8agLLVp//5MiMTGjfx6lfVHsa+vvcbIlgHM5x88AADsHTIEgyUSoH59Rm3h8GEmTjckpKr6gyZjro7ihSHrNSARERH47rvvDN0Ng6DVNUJFLl68iOTkZAQHB1c5t2nTJowaNUrtugcNGoRu3bqhVatWkEgkOHToENasWYOxY8fihx9+QHZ2Nv7v//4PR48excqVKxEQEIA4hfCmMWPGwNvbG3PnzkVOTg78/Pxw/vx5eHl5KW1PlfF7meeXLklITUDQriBODSD1firyS/LRklqiS8cu8BZ7Q2wvxneHv+PKpD1IQ15xnlYVA2YdnIXY5Fjc/fIu71G+TC6D5y+eCOkagjb12/D6mpyTjPySfHRq2AkCCFBQWgBbK1v0bt4bKTkpOHfvHGyENmjs3BjPZM9QIC9ABTFqUi52LgABhfJCo1E+UJzjle/L2eyzKCorgpONE7p5dtPJPTBmVF5jtWVhnzt3TuX0jnv27NFKmz/88EMVD29lHjx4QK+88grv2H//+19q0qQJBQcHk7TSLvy///6bANC2bdu4Y5mZmQSAfv/99yr1m5T3oTov8qBB6qtEqOqZ1pY32N6eebHnGjdmFCJGjGBSAwMkb96cSZDh4sKoSOgihbMmiheGqNfA3L1719BdqJWysjJKSUmhlJQUk0strK8nbJcvX+atg3K5nNq0aUO9evWiiooKmjNnDq98YGAgWVtbc0/Lzp07RwB46+67775LAQEB1bapyviZwvwyVaS5Up73VporpRN/n6DQpFAavH4wCcIENHLLSJ0qBigqMlSmX0I/GrV1FK+v3X7rRoIwAYkjxdR2cVvOc9t2SVty+smJS1/sFe1FtuFMEo2ok1EkzZXyUhTry7OrStILdszZMmz6ZPYefPT7Ryar2qDp2qt3lYbXX38d3ipu9Bk8eLC2mq2V3bt3Y8iQIdz7wsJCuLq6omnTpoiLi0OnTp2wa9cu7vy5c+cAAPVYTVYwIu4Ak66zOuRyOZKTk2t9GVQvsrpUwi4u6qtEqJqeuC5xyjXFG7NJIthzzZsDpaVAr15MqmNra1jdugUsXMjUm52t/RTOmipe6LteI2Dfvn2G7kKtFBcXo3PnzujcubNKO4VzcnJU+s7L5XKd971BgwYoLi5Gs2bN0Lx5czRv3hy9evVCixYtuPfNmzeHl5dXladUdcHd3R3Dhg3j3ltbW2PgwIF48uQJ5HI5Jk2axCv/3nvvoaysDM+fPwcAbN26Fc7OzvBR+C527doVv//+O6fVrg6mML9MFR93H0S+E4mNwzYi8p1InLh1An229EFscizSH6YDALb+vRWbr2wGoBvFAFXjVn3cfRDQOQAX711EUJcgnBh/AtInUoz3Gw9/X39Ic6UokhfB3d4dFVSBvWP24tk3zxDYORDfHvoWxWXFeF7yHGM6jkFA5wDEJcdh9LbRmHVwFqS5ukmMUDk2mU2FnJCawCvDjjlbZsC6AWhTvw06eXSCm4MbEt5PMFnVhrquvWqjrkVuDKji4X3vvffo6NGjSs9dunSJOnbsSI6OjnT79m0iIpo/fz4BoEuXLnHlysvLCQBNmDChSh3sfxaqvkaOHElXrlyhRYsWUV5eHoWHhxMRUXh4OOXm5tKSJUsoLS2Ndu7cSXv27KGLFy/SihUr6OHDh7yyhYWFtHDhQrqxfz/9PXQo5fTrR3c++YS2RkbS7du3eWXLyspo7ty5lJWVRWvWrKETJ07QkSNHaOPGjZSZmUmn+/WjCnd3ivw3zjk8PJxycnIobskSkru40I2RI2n79u2Unp5OMTEx9OzZM179T58+pcWLF9OlS5dox44dtHfvXrpw4QKtXLmS7t+/z5Xd+cEHVGFlRUWOjlTYowcVOzlRuVBImbNn0+rVq+nWrVsUERFBFd98Q4UODlReUEARERF069YtWr16Nf116BCV2dqS3MaGpJcu0cKFC6l4926q+DeGVy4UUsHnn1PMuHEkd3amCoAqALoRG0uLFy+mp0+f8vr97NkziomJofT0dNq+fTvt27ePzp07R7GxsfTw1Ck62asX0ahRdLJXLypOT6f58+dTZmYmXRkyhEpdXOjkwYO0Zs0aysrKouVffknlX3xB8n9THC+ZPp1u375NEomETp06RacSEujvoUMpb9AgOtO/PxWlpfH68vDhQ0p+912Si8X05/bttHPnTkpLS6MlS5ZQbnY2FTk4EIWGUnh4OOXl5dGiRYvoypUrtG3bNtq/fz+dO3eOVq1aRXfv3uXVW1xcTPPmzaPr16/Thg0b6MiRI3T8+HFau3Yt3bx5kyIjI0kul/M+c+fOHYqPj6fTp09TYmIibdmyha5evUq//PILPX/+nFf20aNHtHz5ckpJSaHdu3fTrl27KCUlhZYtW0aPHz/myoaEhFB+fj5FR0fTlStXaOvWrXTgwAE6c+YMxcXFVel3aWkpRUVF0Y0bN2jdunV07NgxOnbsGK1bt45u3LhBUVFRVFpayvvM3bt3KS4ujs6cOUMHDhygrVu30pUrVyg6Opry8/N5ZR8/fkzLli2jlJQU2rVrF+3evZv++usvEovF1KhRI/rf//7HlX3+/Dn98ssvdPXqVdqyZQslJibS6dOnaciQIXX67uvSw2uIJ2wskydPpsDAQKXntm7dSj4+Ptz7vn37kre3N6/Mr7/+SgAos5pU6uwa6+HhQRcvXlT6WrNmDff7vXv3tHdxFniw8aPvx71PRaVFNGrrKOoj6aPUm6joedVWu5XjVpW1G5oUSu7z3Ekml/F+LyotIvsIe7KPsKfz2ec5Xd6i0iIqKi0i10hX8l3uy8QkH4/kUin3S+hH7vPcyWqOFUlSJFq5nsrXVZOmbuUxr1xm8PrBKnm/jZnCwkJq0qQJNWnShBfzf+/evWq/84ovDw8PldZYszZ4CwsLqVmzZjW6yHNycsjNzY1++uknIiJasGBBlUdupaWlBIAmTZpU5fOqLMaKL60uxtp6/M0mlQgKehFywCZj0HYogFTKhCywSSGU1V1Tf4RC5tyIEUQzZjD11K//YuOaiwtnANO4ceol7qhtXEeNYo4rK+/qSmRryy+v6n2qXK8ilTfdmRj79+83dBe0jrYXY1OlQ4cOdOXKFaXnQkJCaMWKFdz79u3bU5cuXXhl4uLiCAD99ddfSuswtFMhIyODNm/eTAcPHqRTp06RRCKps1Nh/vz5JJPJeJ/Jycmh2NhYOnfuHO3bt08rToXw8HAqKiqihQsXUmZmJm3atIkOHTpEJ0+e5DkVysvLKTw8nMrLy3lOhZMnT9KhQ4do06ZNlJmZSQsXLqSioiKu/l5zepFbpBtNnDqRLly4QCNWjCBRuIiOXzhOjnMcafqe6UwfSovIIcyBvtjzRbVOhZycHF6/ZTIZ51TYuHEjHTlyhE6cOME5FYaFDyOrOVbkEOZA/RL6kUOYA1nNsaLAxYF06tQpOnjwIG3evJkGxQ+iluEtqbCwkDrN6UT9EvpxTgXnH53Jfa477dmzh5pGNiVBmIAc5zhSz1U9SRgmJEGYgP5vzv+R1RwremPuG3Tx0kXatm0b7fxzJw2NG0rCMCGd/Puk1pwKY1ePJecIZ1q3aR3PqfD9j9+TW5Qb9ZrTi6bumkpOc5zo1yW/8pwKvy79lVwjXalpWFNyn+dO3//4Pc+psH7LehKFi+jT1Z8ajVMhJSWFli9fTo8ePeKV1ZdTwawN3h07dtD48eNrrWfGjBkUHBxMRETr1q0jAHThwgXu/JMnTwgAhYWFVfmswWJ4WaMwOFg7RqquVSKUkZnJN34VPTw19ScggDFoBYIXWdYAogYNiLy86HHr1tWrM6jSp9rGVTEeWbF8bi7Tz5kzXxjno0Yx/fT1JWKfGlR3n+oS52xiKMbEv2yYVJx/Hdm+fTtNmzZN6bns7Gzq3bs3yeVy7liHDh3orbfe4pWLjY0lAHT+/Hml9ajiVFiwYIHFw6sH2Fha9vus6HntHd+bRm0dpdP4UWXxxJVhvbpsdjj2d0UPb25hLrlFuVHIrhAKTQqlEVtGkH24Pfee9QorophRTlnMrSpxuJVRJTa58phXLjN4/WCVvd+mhsl4eKvz6CQmJtLDhw+10kZtBq+/vz/t2rWr1nqWLl3KbbZIT08nAPTnn39y59mNbIrHWAz2x0wX6YhV8b5qi9q8npmZTHrgdu2Y14QJTH9YA3PgQKJu3Yi8vJiNazY2jIEplb7wNqkzFqqMq6IHesYMpvyTJ3wjdsUKxgi3siKytq76D4SyvunT065nqvMAvgyYq8H75MkT+vDDD6mkpETp+U8++aSKBNo777xDHTt25B375ZdfCABPGlIRVcbvZZ5f+oQ1Bi9eusgdk6RIyGqOFQnCBOQV7cVJf2n6+F8dA5L9HJtm+N2175IgTEAfbvqQ/Hf4kzBMSAgDOc91JkGYgJKuJ1UxDmszQrv91q1KuIMgTEDCOcI6h0AoGuSKKBrXysa8chn2HrDta+semAqqrrE6M3g///xzpcefPn1Kb7zxhlbaqMngLSsrI29vb5JVNlyU8Nlnn/FCGHx9fXm6vZs2baL69etTUWXPGxnwj5kxP/6uyXPLnq/JixoZqdwYjowk6tGD+V0gIBKLmfOsl9fKimjGDFq0aBG/vqSkmvujyODBjBGtrKziuLIeaFtbpn1Fg5a9vsaNGZWIfv2UG67K7pMhPO16YNGiRYbuQq3IZDIaPnw4DR8+XKV1Q1XM0eAtKyujoKAgys7OVnp+/vz5lJSUVOX4jBkzyMPDg3fs66+/pkaNGlFFRYXSulQZP1OYX+YAa0y+MfcNvgbsFr4GrKZexfjkeLVjaOOT4zmtYOsfrUk4R8jT2FV8CcIE5BjhyKu7JiNUHCkmQZiAF3N76f4lEoQJSBAm4GkAV47DVWa8qxKbXN2YV/bgquL9NlY0XXsNYvCmp6fTRx99RP369SNPT88qMjn9+vWjV155hZo2baqV9mbPnl3tBR4/fpyGDRtW5fgff/xBgYGBnCj7+vXrKSYmhldmx44d5OvrS+Xl5UTESP4sXbpUaTsG9/Aa2+NvVeJVa/KiurgwxmxlY7h37xdGLcB4cwUCoqgo/nkbG5L36vXCUAwI4PfH1ZX5XLduVQ3a+HjmnEBA1KcPv+/KxlUqZQxwW1smjIE1ZNnrc3VlzrP3SbGOmu6TPj3teiIvL8/QXaiVgoICLhasoKBAa/UaYo3Q9RO2r776ipKTk3nHHjx4QEREGzdupLi4OKXnUlJSCADP8ztgwACaOHFitW2pMn6mML/MBV17E1XZyKXKZ9Pvp3PhCq/8+gohDOT1ixfNPDCTDt44SDP2z6BXFr1CgjABHbxxsEodyoxQVupMMdyBNZBdI1154Q7Dtwwn+wh76iPpwxsv10hXEoQJqNtv3Sg0KZSiTkTVOp7m7sHVdO01mIc3Ly+PBg0aRG3atCF/f3/ea/z48TR58mRKSUnRuJ2tW7dSx44dSSgUUnR0NLegssyYMYPWrl1b5XPHjh2j5s2bk7OzM7377ru0e/dupfWvWLGCPv30UwoODq42yxqREcTwGtPjb1XjimvyTnt5MQakojHM1mtt/SJe9403GP1dgDF6c3OZ35s0ocudOjGGYlIS8zlfX6Lhw19kVrOze+EhruyVHTmSMaaDgpg62b6PGKF8XJXdhxEjXmR8Y/vAnu/Xj+mLGYQp1AV2g4IxU1paSkuWLKElS5ZQaWmp1uo1xBqhyydss2fPphkzZtC+ffto3759tHv3bvrqq69o7969tGfPHho8eDB3bu/evRQTE8O7/0OHDqWff/6ZiIhu375NjRs3pjt37lTbnirjZwrzS9eoGwKgDtN/nK4zb6IqMbR1/ezMAzNJECagmQdmqlRnZQOT9ey6z3Mnr2gv3tiyIRDKwh2s51gTwkB9JH2oqLSI4pPjSRgmJLtwO854tppjRVEnomodT12OuaHRdO01aEhDcXExxcbGVnv+8ePHumjWIBj0caWxPf5WNa64Ju+0jQ1j9Faulw1bcHRkfgYFEWVnvzB6R45kfg4e/OJzgwYxx9zcGE8ru9Ft8WL+5jIrKyZemO274rj27v3C61vduFa+D/b2TFsrV1Y9b23NnDeDMAULqqGvNUIfT9hYFZvKLzc3Nzp69CjZ2dkpPa+4CTg/P58+/fRT+vLLL+njjz+u4imujDmGhGgbTUIAjA1Vk0zU5bOjto4i1yhXpZ+trk5lSSy8or1IECZQGgLh/JMzL9yhqLSI7MPtyWqOFVnNsaKk60mc95ndNDfzwEyz2FxmaPSeeEIROzs7BAcHg4hw//593L59m3vdvHmTS9lrQUNUTfqgL2pKGKGYwKKmJBRlZUzCCJmMX6+zM5NSuGNHwMmJSb376qtM3QCwZQtzvFMnZn5JpcC+fUDjxsDdu0DfvoCbGzM206cDbdowSR1iYphEFsePv+i74rg2aQI0awYMGlT9uFa+D59+ClhZAefPM9fh7w+kpjL1lJcD48YZ9j4ZAMt3Xvd07NgRsbGxcHBwgEgk4iWcaN68Oby9vTFo0CDs3r1b7TZmzpwJYhwlvNeTJ0/Qp08fFBcXKz3ftWtXrg5nZ2esXr0aP//8M9atW4fOnTtrfO0v8/yS5koRvDsYAZ0DkP1FNg6PO4zsL7Ix3m88gnYF4foT7Ses0eV4q5pkQporxayDs3iJIar7bFPnpsgrzoOnyLPGOhWpnMQiZ0YODo49CAEE8HH34cZ2TKcxeCp7iufy53Cxc0HMwBgAwNR9U1FSXoIujbrAxc4F/zvyP4jtxYgZGAN3R3f4NfJD9vNslRNEvMxzXGvoyuKWSCTk6upKQqGQ9xIIBCQUCnXVrN6xeB8UqEtccXXeaXbDmmKIwMyZTJgB8MJr6+xM1LEj4xF2dmY2h/0bIpCbm8u0ZW//oj9sGEVREeMttrd/0Z9+/RglCG3GRBub993A5ObmGroLtVJeXk6ZmZmUmZnJxe9rA32vEeb2hE2V8TOF+aUrNAkBUBddjrcqG7mq82iz8bCVPzti8whCGOqcAlnZ2EpSJJxmL6tKobhJTjHGdtC6QeQ+z536SPqQV7QX532ufG9USRBhznNc07XXoB5eAJg+fTo++OAD7N69G4cPH+a9Pv74Y101a8GQ1CV9cHXe6dBQJg2wRAI0bQr07w/ExgJs2tE//2R+Pn8OXL4MyOXM79nZXPrgjRs3vvA2s/3x9ATS0pj+ODgAJSVMf2Qyxvvaq5fqfVcFY/O+G5iNGzcaugu1IpPJ0Lp1a7Ru3Roymaz2DxgpL+MTNlOYX7oiKy8Lvg19YW/Nf7LmYOMAv0Z+yMrL0nqbuhzvVvVaYdWQVZCkStA0uin6r+4Pz188IUmVYNWQVSCiaj3a3x7+Fj/1/6nKZ7dnbEdg50Bsu7pNaZ0+7srTzisbW38/f1ybcg3NxM0AACFdQ5A5JRMhXUJgLbRGfcf6COkagozJGfh1wK94JnuGM9ln0MipEdIepOFJ0RNM3TcV+SX5COwSWKOXWRFznuN6W3vVs8drp3PnzlU2krGomgLTFLB4eCuhqWeTlTQbPJiJux08mFFMYDerVfdavZqrIi0t7YW3eeVKpn02BtjW9oWnuPKGOotXVmekpaUZugu1UlBQQGKxmMRiscmrNJjTEzZVxs8U5peuUEXLVdvoY7yrk9lSxaNd3WdVke5S3PzX47ce5BrpqtLYVueZ7i3pzWn/IgxkF27HxQDXJUGEOc9xTddeVddYa10Z0qtWrcK2bdvw+eefVzl37tw5eHt766ppC4bE3x/o2RNYsAA4cQJo1AgYORJ4663aPyuRAMHBgFjMeGczM4FnzxiTVih84eW1sQFsbYHCwhef/esvJnYWQFZWFl4NCGD6cP4848Fdvx44dIh5DwC5uYzXNz+f8wzDx4fpe1wc4yEOCWE8uz7K//u3oDpZWVl49dVXDd2NGnFycsKzZ88M3Q2tMH36dHz44YcYPnw4nJycuONEhPj4eAP2TDeYwvzSFQGdA7DgrwWYum8qYgbGwMHGATK5jOdF1Db6GG8fdx9EvhNZtW0VPNrVfba64yySFAmCdwdDbC+Gb0NfXH18FXkleRiwfgD2f7y/xrFlPdNBu4KwPWM7fBv6IvV+KvJL8hH1ThSeyZ7hSNYRnLt7Di52LliTtgZfHvgS+SX5NXqZues24zmur7VXZwbvd999h8zMTGzevBlC4YvIiYqKCqSmpmLkyJG6atqCoTlxgjEaWcN182YmLOH115kQhYAAoFUr/mekUsbYDQgAFi1iwg5kMuCNN5hQBFtbZsNXaiqwbh1w/TqwZw+zEe3+fWbTmVQKxMej619/AW++CUREAN99B2zfzvTj+nVmM9m77zIb1fr1q2rQ+vgAkdUviBbUw8rKytBdeKl45ZVXEBUVBQ8PjyrnzNHZ8DLPr5oMLVUMKXUw5Hh7i72ReCMRMrkMDjYO3PH/Z++8w6K4vj7+XToWQFQUQUWjJlgCorHFxGgSE40hib3EiAgWVKLRRIm+CYlGjCUKEhVCtWFXwApiwxYsNIkIKiggRanSFzjvH/PbYRcWWGALu8zneXhgZ+7ce+bM5XI4c+45gtCARUMWNalf4c1/rp+7ssbt5wc+x/Xn19Htr24Y3HVwvbq1sbTB6B6j4f3AG8n5yVg0ZBEWWC0Qafck50m95+uiNc9xaSEzg7dr164oLCxEz549RQxePp+PJ0+kv2uUQ8b8z5hEcjJgZibeaBW0EzZcDx8Grl1jDNa7d4HHjxnPq5eXaDyrjw9jILu5VWd50NUF+vUDYmOB8nLmmLMzY5Ru2gS8esV4dnk8xhNsbg7o60Ovd2/GwM7PB/74gznHeWwVirGxsaJFaFW0tjdsrX1+SWJoSRNF6ltWHm2fSB82i4LAe6yrqYsL315A121d8U7Hd9ClXZcGdduQF7mh83XR2ue4NJCZwbts2TIYGRnB1NS01rnLly/LalgOWVAz1CAkRLzRCogarikpzHULFgCbNzOG5oIFjAFqZ8eEDwiMz9hYoF07YP58UYP6rbeY80TM9/BwJjThzz8Zb21FBXM8I4Pp09UVh/btw6LvvmM2nK1bx2wW44xchXL37l1YWVkpWox6KSsrw6JFjHfIw8MD2traCpao6bS2N2zKML9kTVMNqaagSH03x6OdmJ0In0gfJOcnw0zfDLaDbdG3I+O4qS9UYki3IejSrgsCpki+cay+sZqCKs9xea29MsvSYGVlJdbYBSCVvIscckLYY5uaCly+zHyfP58xMGt664Vz8Qobv4aGTC5e4dy33v/LO+jry2RfSEkBXr5kvLPm5oCfHxP7W1VVnW83M5Px3BJVG7s8HtOfmxugq4vJkycz7WuOw6EwJk+erGgRGqSiogL+/v7w9/dHhWBuKSldu3ZFt27dauXiNTU1Rbt27RQtntRRhvmlSiha3zaWNohfFo+FVgtZr2v8snjYWNqIzc8LMPG55n+bw/OBJzILM+H5wBPmf5vDL8oPgOT5fyWhobGagqJ1LkvktvY2cVNdLdLS0qioqIj9/Pz5c7Ffz549oxUrVkhrWIWj8lkaJK2eVrO9cO5bce3HjmXOC5f0FeTfFZT0VVMjeucdJquCunp1lTXhLx6PaNgwkVLFImVGBeMIEGSBmDmT+Z4gu/KbHNUoQ+nXsrIy2rJlC23ZsoXKysqk1q8i1oj79+/XWa43LCxMbnJIA660cMujpeq7rvy8LuEubJWzuvLwSpL/VxIE/VjssaCpR6fS2tC1FJMR0+yKai1V59KguWuv3EsLGxoa0pw5c9jPvXr1qpUSR1nT4tSHyhu8wkZrTWoak0TVBqydHdGqVYzxKzBgBem/hI1fgYEcG8ukCuPxmKIQ773H/AwwRm9iYu10ZT16MN8lLXjh4yOadszQkEs7xiFzWtoakZOTo2gRGkVL0x9Hy0RgaIozannOPDLYbNBgcQ7fSF8Rg1lQQKIxJZonHphIcAZ12NxBxOj2uOchszRxrR25F564cOECNm/ezH52cHDApk2bEBoaKlJ0IjQ0VOXix1QaM7Pqgg3CCAo21Nz80rdvdeEIb28gJ4cpz+vryxw3MREt5pCcDBgZMeEOd+4Aw4cz/dy7x2RgeOstICuLuc7FhcnMcPs2cOwYU3Bi0KBaBS82btxYu2hEY0MzBCQmAk5OwKxZzPfERKmqt7WgisUOWhIvX75EcXEx+1m42ETNwhO///67AiWVDdz8ki8tUd/Cm84E2Rt0NXXhNsENGmoa0NPWa7A4R32hEpKQmJ2I80/Ow7idMdJ+SBMpiuFw1gFvd3q7yYVAWqLOlQ5ZWdy5ubmUlZUl9lxdr9qUEZX3Pgh7bAUe1JoFG8Qh8MgOH854avX1xRdzWLiQ8eLOny/av40Nc3zGDMnGFyoaUfHhh7XHaWxoBhHnEZYiwuFOLZXKykpKTU2l1NRUpSstrMpv2CTRnzLML1WiJer7i4NfUI8dPdiiEgmvq8PVeuzoQVobtGRenGNt6FrS2ahTqxBIcXkxGbgYkM5GnSaP1RJ1Li2au/YqvLSwgYEBOnbsiP3798PR0RGrVq3Cuf+Vha1rMxtHC0TYYyso9WtiUu2xrSv7gSCf7Z07TAGJJUvqL7EryMJQEwMDycYXKuWbWFBQPc777zOe2UOHmCwQKSmi/evqMt7l5GTR4031CHOIZc+ePYoWoUFKSkpgamoKU1NTpSst3NrfsCnD/FIlWpq+fSN9cS7xHFLyU5D+Jl1kk1gJvwR5JXngV/LheN6R3ZQmaSqzujbBiUOQ6SG/NF9kLIDxJpdVlDU5bVpL07k0kdva21SLvCFevnxJAwcOJB6PR5qamtStWzfS0dGhUaNGUV5enqyGlTsq7+EVIPDYCjZ71eXZbSwzZzIxuuJK+r7zTnWMcM3xQ0Pr3HwWHx/P/CDw0OroVG94U1MT9dA2tPmuMR5hjjphn0kLprCwkDQ0NEhDQ0PpSwur0hs2SfSnDPNLlWhJ+hbE7k4/Op3UnNXILtCOsouy2U1i045OI/Xf1Gnzjc2Njs+taxNcXdcIyh573POoNRacQRMPTGzyfbYknUub5q69CvfwOjo64p133sGDBw9QVlaGtLQ0lJSUYM2aNVi3bp2shuWQFjVjV4kYj21AAPO9qXlta/arp8fE6EZFAQsXVnuBo6KYFGSCGGGBx/j334GYGGD8eGDnTiApSTSNGYDo6GhmHDu76pRmgwYx/VRVMV7bJ09qx/kKI5xeTZi6PMIc9RIdHa1oERqkbdu24PP54PP5IuV4lZHW9oZNGeaXKtGS9C2I3fX/xh/eX3nDN8oXfd37IiE7AVVUheP/HYeXtRfWvL+mUfG5oU9DsSBoAcwMzGBraQuPSR5sPK5dkB2e5NR+y2c72Bb5pfm4m3YXUYuisNBqITq16YQe+j2gBjW4TnBt8n22JJ1LG3mtvTIrPFFaWorg4OBax62trREaGiqrYTmkQWMKTTS3X0H9bFdXNo9unYao4PrKSsDYGCgrYza37d7NVHH7XzGLjh07Atu2Mcbt/PnA338z/Xp6AosXM8b74MFM9TY+X7wBb2bGyFdSUp0DGKjerLeoaeUrWysdO3ZUtAitivT0dIwfPx5xcXHQ0NBA586dsXv3blhZWeHcuXPQ19dXtIhShZtf8qUl6Vu4YETNinPd9btjkNEg1qiVtDiHb6QvFgQxf3tM9UzhE+WDHXd2wMvaC24T3HDi0Ql4P/Cu1Vd9RTG8v/JuclEMQDKd1+xjXK9xuJx0WWrFL5SeprqgG+LHH38Ue7y0tJRGjRolq2HljsqFNAg2qdnbN26TWnP65fHEhzQIhx4IrrewYM6XlIjKFRvLhhrcvHmTyNycSEOjdkjC779X5/DV0yPS1GTGd3ERL29jN+txiOXmzZuKFkFhKGKNmDp1Kk2dOpUiIyOpqqqKPR4YGEhLly6VmxzSQBL9teb5pQhakr4FYQTS2pAmCJHo7dqbPvT5kO1LOI/uWL+xNPP4zDr7SMxOpLWha9kNdA3l3pUkdKIhnfs88CE1ZzXS2ahDRluNSPN3TYIzqO0fbSUKx1BmFB7SoKGhgT179iAzMxOlpaV4/vw5/P39MXLkSPTt24r/w2jpCFdHE3g2pVG1rL5+DQwY76xwSEPNjW2C6/v1Y0IKdHRE5Tp4kA01SEhIqL5u/frq8InQUMDZufqchgYwahSgpcWc//PP6nNN3azHIRaRZ9JCKSsrw9KlS7F06VKUlZUpWpxmUVpaimPHjsHS0hI8Ho89bm1tLfJZVVCG+aVKtCR9C8IImrIhTRyCEInJ70zGw1cPUcIvYdOb6WnrweOeR4OV1wSe5IApAXD5xKVBz659sD1sB9sidWWqSCoz4dCJ+nSemJ2IBUELQCC00WyD3ga9wa/iAwCK+cXw/NKzwXAMRSK3tVdWFndZWRnNnDmTTYMjSIkzfvx4btNaS6axhSbk1a/genFFJsaOJZo2jfXwvnjxgmjMGMaLq6VF9OGHzDWCTWuCYhaCPrKzmXY8Xm3PbWgoU+iiRw/me2ho0+6/lfPixQtFi9AghYWFBIAAKP2mNVV6wyaJ/pRhfqkSLU3f0igYIWDm8Zk01m+s2MprY3zHUO+dvZtVMa0mAg91Q0Ux6tP5wqCFBGeQ7WlbKi4vprWha6nD5g409+RcgjNoUdAisX22FJq79ircw6ulpYWAgADExMRg586d2LFjB27duoWLFy+qXPyYStHYQhPy6ldw/ezZIkUm2OsTEtiY36C//gLCw5nrysuZ1Ght2wI8HhPXCwDHj1d7mg0NgREjAE1NUQ+2ry/w+edM32+9xXz//HN2cxyH5Pj7+ytahAbR1NTEr7/+il9//RWampqKFqdZtLY3bMowv1SJlqbv5haMEMZM3wzRmdEw1TOFl7UXfKN8YbrDFGN8x+D68+tIykuCl7VXvV7bxiAcgyxMzaIY4nQuSJl2OO4w1HhqWDliJXQ1dZGcnwzLrpbwmOQBDTUNXH9xXWyfLQW5rb1NtcglITY2lr7//nuaNGkSTZkyhXbs2EEFBQWyHFLuqJyHV1axq83tV/h6Dw/mZz09orZtq2NyBXG4a9cyxwXeXDW16jLFAOPtFUaQaqxHj2pPs6ximTlaHYpYI1TpDZvKrbEccifhdYJITK1wUQpxbYU9u4nZibTqwirq7dqbeM48uvT0klRla2oMsnDcb5s/2hCcwXq1BX1mF2WTxu8aZO5uLlGfyoqka4TMDF4/Pz/S0NAgdXV16tmzJ7333nvUvXt3MjExof/++09Ww8odlVyMN29mDEQtLcYI1NcXv4msjjy4dSJUDa3OzWmSXt+7d7UB27EjkYEB21dCv36M/Pb2zGa2tWuJpk5lwhgEBnB2NtOnwIhVU2PuU5BfV1F5eJuiVyVgw4YNihZBYShyjYiNjSU3NzdydXWl27dvy318aSCJ/lrz/FIEyqTvxubSJZJeiIQkhra40Imam+SIRHUuuMY+yJ6Ky4vZkIa+bn1J/Td1Cn0aSuq/qVNft75MSEPwIrF9qgqSrrE8orpKXDWPHj164K233oKnp6fIK7Tw8HDs3LkTJ06ckMWwcsfU1BRpaWkwMTFBamqqosVpPoLUX+3aMZvEMjKY1F0ffsikAjMzY46vX1+dXiw6mgkzkCRt2ZMnTNhAcjLT18cfA2Fh1Z9tbZkNY/Vdv3Ur8M8/wLvvAgcOAAMHVqcy8/UFDRwIXkwMkJ0NdOhQfW1ODiBI7aKtDQwfDsTGMrKPHg3cvMlsluvTh9nolpnJVFirybhxzOa6gIDGaLZhaqZta4xeWziVlZVQV1dXtBj1QkTIz88HAOjr60ttc5ei1oiHDx/Cy8sLT58+hba2NkaPHo0FCxagffv2cpNBGkiiP2WYX6qEsug7MTsR5n+bw3awLVw/d4Wupi67oc03yhfxy+LrDE14kvOETW9mpm+Gj3t/jLBnYRKn+PKN9IV9sD30dfRh0cUCkemRyC/Lx3sm72Gc2TiR6/2i/GAXZMe2FaQy87L2YsMyhHXudMkJng88kfZDGnQ0dJCYnYh3/n4HVcSE7PXQ74FXha9QUsmEEA43GY6E7IRafbYUmrv2SrzGytLijoyMFHvOyclJVsPKHZXy8Ip7jb93b3U4wPDhjBcUYDaFNfdVv6ASmsDja2gomce3Ae9rtmCDmrjwCcGGNYEHu1s3Im1t5vPEidUeVXGb44TGkLqHV8VDKDZt2qRoERpElTatqdIbNkn0pwzzS5VQFn1LuiGsIeryEk88MFGs97amB9bngQ/xnHmk/ps6wRmktUGL1JzVRDzGDaUyE9a5YGOdMAKvtNpvaqS9QZt0NuqQ2m9qIjK2VM+uvDatyczgPXbsGO3atUvsuRUrVoh8Dg4OlpUYMkelDN61a5nQgNWrmVfqCxcyr/rnz6828lavZgxENTVRI6yxhmBzDLwGMj6U9elTHcMrHD6hpsYcF5RGnjiRMXR1dBhjXtjglnceXhUvZZycnKxoERpElQze7t2700cffUQJNUJirl+/TpMnT5abHNJAEv0pw/xSJZRF3+IMQwEN5dIVUNN4JSLae3cv8Zx5BGfQ8H+G1wqTEDa0E14nsG21N2iLGL48Z57ERqiwzuuK+43NiCWdDTpk7m7eog3cmih9lobQ0FDs378fs2bNgq2tLWxtbTFv3jwMHToU4eHh7LG5c+diEVe1qmVw+TJT+czHhynZ6+3NZDVITwfefpsJO0hNZTIa6OuLZjRobMnd5uT7bSDjQ3L37kBpKTB1KlNprUsXJlRi6lTm+IIFTPTvxYtM/t+cHCaTQ2oq097OjsnoIM88vCpeyvj69euKFqFB2rRpg/LycpSXl6NNmzaKFqdZVFVVYceOHbUyMnzwwQd4++23FSSV7FCG+aVKKIu+BRkXBPl5BZTwSxrMpStAkJfXbYIbdDV1kZidiKXnlsLG0gYddDpgrNlYNsftgsAFWHxmMQ49PIR2Wu2Qkp+Cbbe2gUDggYe2Wm2hr6MPdTV18MADgbDt5jaJ7kVY53XlHnb91xX8Kj4+7PEhkvOT4f3AG4nZiZIrTEHIa+2VmcFbUFCArKwspKenIykpCUlJSXjx4gXat2+P9u3bs8eSk5NRWFgoKzE4JCUxkSnPq63NFGe4dw9QV2eKMly4wBiEBQWMsRkbCwwaJGqENTZtWXMMPFtb0dRkgvH/V464YOFCxig9cYIxUDMzGQP7xIlqY1USg9vGhonpra8ghrSQVTq4FkKvXr0ULUKD8Hg8aGpqQlNTU+mLM+zcuRM3btwQe66kxhw7c+aMPESSKcowv1QJZdG3NIpS1EwbJjCAd3+xm03xpaupi6HdhqIKVfCPZtKHpeSn4B33d3Aq/hQAYL7lfCQuSwQPPDgOc8Q8y3kAgEtJlyS6F2GdC0oYC1KmjfMfB5O/TOAT5YMqqsKxR8eQWZgJzweeMP/bHH5RfhLrrDEI0qLNOjELTpecmmxcy2vt1ZBVx0uXLsX69esxYMCABtt6enrKSgwOSfHxYXLVFhUxhuOgQcB77wEnTzLny8sZw3flSmbT2J07wPLlzDkhYxMLJKxqY2YGhIQw1woMTkFfUVGMcVkXgipodnaMfBYWzDUFBYCXFwq7dgU++ojZiCbYILdoESObwDMrqcHdpw/g0nDt9WZja8vo1dGx2ghvil5bKBUVFYoWoVURGhqKqKgo3Lx5E7r/+/2qrKxEXFwcAMDW1hYAwOfzcfnyZaSlpSlMVmnAzS/5oiz6FhiGdkF2OBl/staGMEly6ZrpmyHkaQhbcU1gABMRojKisGjIItbra9zOGO/3eB+bxm2C+d/m6GPYB4+zHwMANozdgDWX1qCgrACLhi6CoY4h/KL8kFeaJ9G9CHSemJ0In0gfJOcnw26wHQiEgvICTOs/DV4PvGBnZVdrg55dkB1G9xgttdzBQO1NeSFPQ7D11tYWuSlOgMwM3tGjR0vc1s7OTlZicEjK5cuMsauhwWRlePiQ8eQKGDIEePaMCQN4/33g+nXGmHzwQMTYlPhVf3MNPBubOg3ajMOHmTbijNXERMa4j45mwjYE3moB9RncgmslzSjRGBow4pW9lHFGRoaiRWiQ8vJyrFu3DgDwxx9/QEtLS8ESNR3BGzZdXV0Rj4kgQ0NSUhIA5o+oKrxhU4b5pUook75tLG0wusdoNuPCoiGLsMBqgcTGn+1gW2y9tRWO5x3hNsENZvpmuPjkIhzOObBeYu8H3tDX0UcJvwR9OvQRMbQF9HLrhcqqSnhZe8GkvQkczjoAAAx0DCSSIyMjo7aRmRmC/NJ8eFl74fHrxzDQNYDbBDfWGy0oiXzi0Ql4P/CGyyfScd4Il0OWhnEtt7W3iTHGjaK4uJh69epF9+/fl8dwckUlNq0lJDCbt7S1iSZPZjZwrVrF5LoVZGjQ0WE2tGlqMpu2Nm8WzRfblE1czc3LW+ft1JG7VjgrxIgRzH3xeEwhC6L6N6U1NaNEY0lMbL5eWyB1PpMWhCptWgsPD6eHDx9K1NZDMP9bKJLoTxnmlyrR2vQtnJd3xD8j2A1nHveY351pR6eR8TbjWjluE7MTqe0fbQnOIDiD9Dbp0Vi/sWTgYsAeWxS8SCIZQu6F1No8J5xb94uDXzR7g56kSCv7hQB5bVqTmYdXmKqqKiQnJ6O0tFQew3E0FkE8a0EB8PQpkJICXLkC/Pwz0LUr4/E1NgaeP2dy3x47Jt7j2FgPaD1e2nppYJzTp0/jxx9/rH2NvT3T1tWV8Sh7egKLFzPj+vhUlyeu6VEVd63AG21nx9yDtDyw8gqhkDNin0kLQ1NTE6tXr2Z/VmZa2xs2ZZhfqkRr03dNL7FhG0NcSLwApzAnHH54GLdTbqO0shQekzzQx7APG3bwJPcJyivL2X6KyosQkxmDkooS8MADj8fD6lGrJZLB5YILu3lOnAc3uzgbCTkJbOiFAMEGvUVDpJccQNJyyJIir7VXLgYvRwsnORkYPBj47jvG4KyqAt56i9kYxuczm9dKS5njMTHAjRu1DbyaRRNCQpiQhYaKJjTWwGtonMRErMzKYgpHCBvDwpvUBHG7CxcCo0YxscoFBXUb3OKuFWxwO3GCMdhV0EiVJssF8d4tGC0tLWzdulXRYkidkpISDBgwAMePH4eVlVWt82pqMtu7LDeUYX6pEq1R330M+4iEBAgXpvjO4jt4R3rjbtpdEBGWnlsKPW09VFEV+FV89ppKVCK7JBuaappQ46nhj3F/iBS3qK+YRae+nWBRUreR2UazDfJf5rOhF8JhBpJu0JOUmnHNAppqXMtr7VX+lY6j+QgyBMyYATx+DEycyFRYKy5m0nNpagJZWYCHB2NA2tkxFc8ECHtAU1OZeGDhFF/CbZtDzXEE8vTsyXxfvRowN0f5338zmRn27mXSqQ0fDgQGAv361d6kNnAgMHIkYzy7uNQ2dhMTmWs1NIDvv2eM4lmzACcnRgYVSBkmD7Ztkyz1Dof0aQ1v2Lj5JV84fVcbwAFTAuDxpQebNWHx2cUwamuESqpEflk+RncfDRsLG6hBDQsGL0Bvg96oqKrAihErsO7yOng+8JQoo0JGfEa9KdYGGQ0Sm7nBN8pX4g16kiKN7BcKodHBEk2goqKC/Pz86NWrV0RE9Pr1a3kMKxdUJoa3ZpGFBQuYYzwe0aJF1bGk4gohyKtogvA4wjG1Y8Yw8bjCFeB8fJhCE4IqalpazPma8Yr1ySgYQ0eH6UswxjvvMOMKF7LgUHqqqqqovLycysvLqaqqSmr9KnqNKCwsJB6PRzdv3lTI+M1F0frj4JCURUGLSGejDk07Oo1G/DOC9F30qYRfIhLbWlxeTHqb9IjnzKszHldcwQhBAQy7QLt6r2moYpu0EI5rHus3ljps7iBSfKMxNHftVXjhif8Z08jIyEBaWhrGjh2L4uJiJCUlYePGjbIclqOxCDIECBdZ2L+fCWHw8WE8pQLPp7g8ufIomlDT0yrs6b16FejeHVBTA8LDccDBgTm/YAHw8iVgYADMnct4qxcvBs6eZTy006Yx3l1xWSGEvcnHjjG66NuX6ScxkclW0bcvk9nik0+af38qjjL8zhcXF0NLSwtaWlooLi5WtDgcjUAZ5pcqwelbPPnl+RhpOhJHpx2FWQczWBlbQUdDRyS2VVdTFwa6BtBU12RDD4DqeFw9bT14P6hdeOnIniMSeXCFPc8un7hI1bMrnHf38evHuDDnAhZaLUSXdl2waMgixC+Lb1JKMnmtvTKL4fXz88PKlStRUFAgcpyIwOPxsGPHDlkNzdEUam4gs7ICHj1iwhyEEZe2qzk5dSVBELerqQlUVAD79gGVlUzsrWADWUYGUwmtsBDTY2JEY24tLRnDdO9eRpZJkxjDGWD64/FqxyX7+ADt2zP9/PQTM/bTp8Dr10z7Dz5g4pvbtAEuXQI+/rh596jiqMLGKGVFR0cHvr6+6NevHwAgOzsbHTt2VLBU0oWbX/KF07d4hGNbhX8GwMa2lvBLkP4mHcbtjSXe9JWYnYjMQZmIexonknu3sSnWmkN9eXelle5M1sjMw7tixQp88803CA4OxuXLl0W+5syZ0+z+S0tL4erqihEjRogcv337Nng8Xq2vIUOGsG2ICOvWrYO9vT3mzJmD4ODgWv1fvnwZ06dPx7Jly7By5UqlSbTdLAQbyAICGKOysLDOamYiHtEGKp81q2iCsKc1IoIJKjA2ZrJHLFnC5At2dGQM1zdvgEGDUCbscRauVDZ2LNOngQHwzTdMzG9sLCNfzVhjQZlld3cm/3BlJXN85EjA0BDo1YupujZ8uKgHOzGR8R4L4nwTW35ZR3kg7nespdGmTRvk5uYiNzdX6UsLA63rDZsyzC9VgtO3eIRjW2cPmo380nw4nHOAw1kmZ++cd+fA8bwjKqoqUFBWIFHJY99IX5j/bQ7faF9kFmbi2KNj8I70xmdvfSZ1D66AmhXUQp+Gsnl3U1em4vK8y2w5ZbsgOzzJad4+HbmtvY0OlpCQwYMHU2ZmpthzSUlJzeqbz+eTj48P9e/fn3r27ClyzsHBgVatWkVeXl7k6+tLvr6+NGnSJPrll1/YNk5OTjRr1iwiIioqKqLu3bvT3bt32fNRUVHUpUsXNuZ4+fLltGLFCrGyqHR8WWPy5Eorp25Cgmge2oULReODfX2ZmFwerzq+Vl2dyMWF+a6lRW/692euyc4Wzau7ejVz3erVomPWjONNSKiO1zUwIOrRo/ozj0ekr8+0rXmdvHL1KiERERGKFkFhKGKN8PX1JQMDA1JTUxP54vF4pKamJjc5pIEk+mvN80sRcPquG+HY1nd2vcPm233H/R02ztUl3EWieFxB3K59kD1dv329znbSxOeBj0hsruGfhsRz5lHbP9pKLe+utJF0jZWZwXv//n3avXu32HNHjhyRyhhr1qwRMXgrKyvp9OnTtdqNGjWKIiMjiYgoNTWVtLS0KDQ0lD2/aNEiGjduHPt54sSJNGfOHPbz7du3SV1dXayhrtIGL1HjCiE0t2iCOIORx2M2iQkTGsoc19EhevttZpziYqIPPyQCiK+ryxin2trVBmdxMVNIA2CuF5YzIYEZb+b/EnMvXFht3NrYEMXEMP289Vb18dhYUWNasPHP3r564199hSxaGefPn1e0CApDEWuEvr4+zZ8/n86ePUtXr15lv65cuUJz586VmxzSQBL9teb5pQg4fdeP8MaxRUGLaFHwolqbyGpu+tJ30SeeM4+G/TOM1oaupYTXCSIFHoR1HpMRQzobdMjc3ZwWBi2khUEL2f4TXje9KIiwgS1siPfe2ZvgDLEGtrSLWjQFhRu8EyZMoLfeeovGjBlDY8eOZb/GjBlD+vr6Uhnj119/reXhrUlmZib17t2b/bx7924CQNnZ2ewxT09P4vF4lJmZSfn5+aShoUHbt29nz5eUlJCamhpt3bq1Vv8qb/DKi7oMRgsLxsiMjRVt7+FRXQFu7FgiPT3GELWwoNf9+hG9+y7zuV07xkOrqcm019RksisIG9U1sy2YmxNpaBB5elYb4O+8U+3l1dKq7cGWV6YKJeXkyZOKFqFBysrK6Ndff6Vff/2VysrKpNavItYIWb5hkzeS6E8Z5pcqwelbOggM42H/DCOeM4/0XfRZr6r6b+o07J9hbPU0gc4FHliN3zWo/ab2Ih5kwXVNyZRAVHcFtdUXVxPPmUerLqwSOS4tD29z116FV1rr2rUrCgsL0bNnT5HE5nw+H0+klZdVAoKDg2Ftbc1+joiIgJqaGjp06MAeMzIyAhEhOjoaWlpaqKioENnUoaOjAz09PURGRtY5Dp/Px4MHDxqUx9jYGMbGxk28GxWmruIO+/cz1d2+/Ra4fbt6k9rdu0xWhnnzgMhIJn5XXx8wNIT+gwdM/PGUKUxhiPJyJu43O5vZvNa1KxAXx8Ti5uQwxSceP66dbeHbb5m4X8FGvvffZ+TU0aldpEIemSqUmL71VdxrIfD5fPz2228AgB9//LHBeu7p6elIT0+XqF954+XlhRMnTmDJkiW1zkVERMDMzEzuMskSZZhfqgSnb+nQx7APbAfbYuutrbCzsoPr564iBSO8I72hp62HEn4J+vbti8TsRNgH2+M7i+9wPO44CssLMd9yPogI+2P2I2pxFFzvuMIuyA6je4xudHxvXRXUFg5ZiO23t+PU41PYMG6D1ItaNHbtbTJNs8cb5v79+5SSkiL2XFhYmFTGkMTD++WXX9LVq1fZzxMnTiRDQ8Na8gCgQ4cO0dGjRwkABQUFibTp3r07jR8/vlb/gv8sJP2aPn06xcXFkaurK+Xn59OGDRuIiGjDhg2UnZ1N7u7uFB0dTYGBgXTmzBm6f/8+7d27l7KyskTaFhUV0bZt2yg+Pp6OHDlCly5dops3b5Kvry+9ePFCpG1FRQVt2rSJkpOTad++fRQeHk5XrlyhgIAASkhIoC1btlBJSYnINenp6eTp6UkRERF0/vx5OnnyJMXGxpKbmxvl5eWJtM3NzaVdu3ZRTEwMnTp1is6ePUv37t0jDw8PysjIEGlbXFxM27Zto4SEBDp8+DCFhYXRjRs36Nnw4VQyciRt3LiRKisracOGDVRZWUkbN26k8rfeoiqAyvX0KMfSkkrbtqUqdXU6P2MGlcTEUKWaGpG9Pbn88gtlZGTQt1OmUPYnn1AVQCnvv0+xERG0a9cuKlm2jCp4PCKAirW1if/BB1TSpg1VqasTX1ubnk6fThERERT3wQdUBVDk4MFExcW0YcMGKsnJoZihQ6kKoIRx4+jKlSsUHh5O+/bto+TkZLo5ZgxVGRqSyy+/ECUk0I0PPqBCa2uK/fxzKm/blpJmzqQjR45QfHw8bdu2jYqKikT0kpWVRXv37qX79+/TmTNnKDAwkKKjo8nd3Z2ys7NF2ubn55OrqyvFxcXRiRMn6MKFCxQREUFeXl6UlpYm0ra0tJT+/PNPevLkCR06dIiuXLlC169fp/3791NSUhK5uLgQn88XuSYlJYV8fHzo9u3bFBISQkePHqVHjx7RX3/9RW/evBFp++rVK9qzZw9FRkZScHAwBQUFUWRkJO3evZtev37Ntv3iiy+ooKCAduzYQXFxcXT8+HG6ePEi3blzh7y9vWvJXV5eTps3b6anT5/SgQMH6Nq1a3Tt2jU6cOAAPX36lDZv3kzl5eUi16SlpZG3tzfduXOHLl68SMePH6e4uDjasWMHFRQUiLR9/fo17d69myIjIykoKIiCg4Pp33//pQ8//JDmz59Pv/76K9v2zZs39Ndff9GjR4/o6NGjFBISQrdv3yZra+tG/e7L08Mrjzds8kIS742bm5scJeLg9N18BCEL5u7mpLNRh2IzRN9iFpcXs2EOdoF2tM11G+uBtTllQzxnHhlsNhCb57epXldB/4JwBmFZ2mxsQzxnnlTy7taktLSUHBwcyMHBgUpLSxt9vaQeXh4RkWxMaabCz8GDB3H37l1oamri448/xsSJE6XWv7OzM/z8/JBch/esuLgY77zzDpKSkqCurg4AmDRpEqKiopCamsq2Cw0Nxfjx43Hs2DEAwLRp0xAaGopPhDx+JiYmGDx4MM6cOSMyhqmpKdLS0mBkZITz5883KHOL8PAmJjKeyuRk0fK7isTJCfD0ZPLq1kxtZmICTJ8OdOhQLbPAuyq4Li2N9a7m5+dDf8MG4K+/gFWrmNLDAJM54eVLpqqcuTnTj6CvhQuBLl2YDBWJiUyFNoAZ08KCyfSQl8ccS0gQX5HN3JzxAt+8yXibBw0C7twBysqAzZuBNWtkpr6WTn5+PvT19RUthlSR1MM7YcIEZGVlwcTERGTdkSW2trZ48uQJevXqVesN29WrV+UmhzQQrLH16U8V51dLhtN38xBO8aWhpoGckhwQEbysvUTy2I7zH4difjHuvbwHPW09aKprsm2HdhsKHnj4yOwjJOcn41bKLQwyGoQzs89gnP84dGnXBQFTAholV2J2Isz/Nsd8y/m1yhP7Rvni4rcXcenZJbYUsrxSojWEJGsEANl5eF++fEkDBw4kHo9Hmpqa1K1bN9LR0aFRo0ZRXl6eVMZoyMN76tQpmj9/vsgxOzs7ateuncixkydPEgC6evUq3bhxgwDQ8ePHRdro6emRjY1NrTGULoZXVpkEamZXSGhk4Ly4am+SbPqaOZO5DyE2bNjAHDcwqN6IRlQdZztmjOhxcXG2vr5MbK+ODpGRUXW1tfr05OJSvVnuww+ZPtXUmJ9b+cY1gXe1NaKINUIeb9jkhST6a83zSxFw+m46NTeGCXtthTMvCHtqE7MT6YPfPqj2BmfG0sQDEwnOoA6bO9AY3zHEc+YRz5lHHvc8mhVXK80KavJC4ZXWHB0d8c477+DBgwcoKytDWloaSkpKsGbNGqxbt05Ww4oQGBiIb775RuSYhYUFCgsLRap5ZGRkQENDA1ZWVjA3N4empiaysrLY88XFxSgoKMCwYcPkIrfMEM5pm5rK5JpNTQXmz6+dh7Yx+Poy3k1PTyAzk/lubg74+Uneh7hqbyYmzGcvr9oeVQF6ekxs77RpbN7b9evXM9fm5zN9CbC1Zby0d+5UH68rX7CNDRPXu2IFI8uKFcxnG5u67yE/n8nxu3w50K0bE+f7+DFw4QIjp3ft6jmthfXr1ytahFaFlZUVunXrhv3798PR0RGrVq3CuXPnAADjxo1TsHTSh5tf8oXTd9PxifSBvo4+60EV5O4FD2iv1R7eD7xrxcf2MeyD679cR+DMQPAr+fj96u+48OQCeOBhUr9J6GXQCzzw8M0732DxmcXNiqu1sbRB/LJ4qVRQa3HIyuKeNGlSneeWLVsmlTHq8/BWVFSQmZkZldTYNZ+VlUWampp0+fJl9tjixYtp4sSJ7OevvvqKvvvuO/bznTt3SEtLS6zHRKk8vLLIJCDtdFyNSW3m48NkYhBka9DWJlJTo2Bra6Jp05jj06aJyvW/1GWkr99wvuDGeq3FeJtZhNOetUKUwSNUWFhIGhoapKGhQYWFhVLrVxFrhDzesMkLzsPb8uD03XRmHp/JZl4QIPCqavyuQUZbjcR6VQU69430Zb25/dz61crzC2fQxAMTSZlo7tqr8CwN5ubmYo+XlZVJlM1AEvh8fp0V0G7duoUhQ4ZAp8au+c6dO8PBwQGnTp3C2LFj8ebNG5w/fx4nT55k26xfvx5ff/01iouL0aZNG/j7++P777+HqbC3UBmRRSaBurIruLkxGRK8vZnqbZIiqPbWEImJ1R7Ztm0BgceeCF8EBQHq6sx5Pz8gLKw6DreggImnzctj7rdmtgUBgnLG+vrMtSEhTCywl1fdXl5Zl1hWYpYtW6ZoESRCVSoqCt6w7d+/HxYWFuDxeACAoKAgrFu3Du7u7gqWULooy/xSFTh9M/GuPpE+bDyr7WBb9O3Y8F4Y4ZLDuprM3wkbSxsMNR6K9/55Dx11O+Krt7+qFR8r0LmNpQ2O/3ccsVmxsOpmhbFmYwEekF+WDzN9M1xJvgI9HT3Z3LQMkcfaK7OQBg0NDezZsweZmZkoLS3F8+fP4e/vj5EjR0olpcmJEycQFBSE9PR07Ny5UyQEAWDCGb7++mux127duhVEBEdHRzg4OMDb2xtWVlbs+aFDh8Ld3R0LFizA8uXLYWhoiM2bNzdbZoVjZsZs2CoRLWcoUn63sSgqHde2bUxW3PnzgVevmI1kq1YxJX8BJsTBy4sp/yvYkLZoEfN5zZrqEsouLuI3oDUl9EOWJZaVnAMHDihahAbR1dVFamoqUlNToSv8D4sSUlpaimPHjsHS0pI1dgHA2tpa5LOqoAzzS5Vo7foWlPv1fOCJzMJMeD7whPnf5vCL8mvwWuHyw4LSwiX8Erj+6wp+FR9Bs4LElgwW1vkgo0EoLC+Ej7UP9n65F3sn7UXAlAD8MuYXJGQniJQmVgbktvY20QPdIGVlZTRz5ky2lKWgrOX48eOV7pVafShVSENTN4bV92pfECZRLJrGROYFFwTFIcSEZ1SpqzPnm0pzQj+kVWJZxYiJiVG0CApDEWvEjz/+KPZ4aWkpjRo1Sm5ySANJ9Nea55ciaM36rqsaWWPK/TZlY5iwzgUy2AXaUUxGDK0NXUtTj04liz0WTS45LEiTJo2KbfJG4ZvWtLS0EBAQgOjoaOzcuRM7duzArVu3cPHiRS6diaJoysawhjakKdqrKSarXrPz7DXHa21jI96rXN9mt1bA06dPFS1Cq0LWb9haGtz8ki+tWd81N50BgK6mLtwmuKGdVjvMPTkXs07MgtMlJyRmJ4rtoykbw4R13rdjX3hZe8Enygfv7n0X225tw8lHJxGdGY1KqsSJ/0406p6a47FWJmQWwytg0KBBGDRokMix3NxckUpnHHLExgYYPbq6elhdMayA6Kt9V9fqKmeOjsyr/dGjq41oOzvg5EnRWNn6sis0lw8+AB49AhwcgN27q2VzcACvshL48MOm993cWFxJ45BbETKrnCNFysvL4erqCgD4/vvvlULmunB2dsa8efOwdOlSNoSBiPDpp5+y96hKKPOzUkZas77rqkZ2+OFh5Jfl40HGA+hq6iLkaQi23tpaK7eugD6GfeDyieR/J2rq/P3u7wMEdNfrjpSCFOho6GBQ50GIyYrB2rC1AIA1oxvO/S6o3mY72LZWpbemVmxrLHJbe6XlUk5LS6OioiL28/Pnz8V+PXv2jFasWCGtYRWOUoU0NJbGvNpvTHYFaZCQwOS45fEYWcaOZfLu8nhUxeM1b/ymhn5w1Mm9e/cULUKDFBYWslXRlD1Lg4CYmBhyc3MjV1dXun37ttzHlwaS6E8Z5pcq0Zr1La4aWcLrBFJzViPtDdq0+uJqImp8mEND1NT5wqCFpL1Bm+AMsthjQTEZTMhDdlE2aW/QJp4zT6JxBfdTwhf9O9+cim2Npblrr9xDGgYNGoSFCxeynz/66CP06tWr1tdbb70FNzc3aQ3LIUsa82pf4NWsayOYtOnbl/FSq6kxnte4OKC0FFBTw7Xvvmve+E3NCcxRJ/fv31e0CA2ioaGBefPmYd68edDQkPnLL7kwaNAgLF++HI6OjhgxYgQA5g2bqqEM80uVaM36FrfpzOOeBzTVNVFRVYFFQ5k3gIIwBz1tPXg/aH4OdmGd+0b64p8H/4BfxYeGmgZe5L/AYI/B8Ivyg2EbQ4wwHQENNQ2Jxq3LY62rqQvLrpZIzk9utuwNIa+1V2o9X7hwQaRkroODAyorK/Hee++xZX0BJvWEl5eXtIblkCUtPc1WzfCM/5UJNm/fXvp91xf6wdEgX331laJFaBBtbW34NaZYSgvi5cuXMDAwQJs2bQAAL168ENuusrISbm5u2LFjhzzFkznKML9Uidasb0H8rF2QHU7Gn4RFFwvcTLkJfiUfPl/5iLz+l6bRKNC5IATh3S7v4tHrRxhhMgIXvr3AhiAM7TYUMZkxMG5vLNG44tKkAUzmiKiMKCwaIvu/83Jbe5vqgm6I3NxcysrKEnuurpKXyohKhzQoy6v9Glkk3FUoZEZVaM2J6uWxRhgaGtKcOXPYz7169WKz4wh/CbLmNIf09HSaPHky6enp0VtvvUW7d++u1SYwMJAsLCwoKSlJbB87d+5kX2ECIBcXlzrH4wpPtDw4fRMlZieyWQ1G/DOC9F30RcIciKQbFiDQuSAEITYzlnjOPNLeoE3ZRdlUXF5MBi4GbKYGvU16Eo0rnPGhqVknJEVWmSAkXWN5RGK2uUuBixcv4rPPPqt1PDQ0FJaWlujcubMshpU7pqamSEtLg4mJCVJTUxUtTsMkJjLFIgQeUVtb5hV+Xe2uXAEiIpjSuFZWohvSWkLmgZoFIqKjmawRLUU+jlaPPNaIu3fvwtjYmC2Os23btnrfsAUEBDR5rIkTJ2LYsGHo27cvfH19ERYWhn379mHu3LkAgLNnz8LLywunT59GUlISzGrk966oqMCUKVMwduxY9ti8efPq3MisdGssR6sjMTsR5n+bY77lfDZ7g2Djl2+UL+KXxUtt49esE7OQWZiJy/Mu488bf2Jt2Fpoq2tjhOkI3Ey5icqqSnzQ4wPcTLkp8bh+UX6wC7KDvo4+LLpYICojCgVlBXVuuGsKvpG+sA+2Z8eIzoxGfmm+VMaQeI2QinkthiVLlog9npubSyNHjpTVsHJHqTy8Pj6iOWINDcXniK3Z7n+bwWjYMPlsSJOUOsoaPxgypGV5oDmUwiNUWFhI+vr6pK+vr/Sb1mT1hu3hw4d07Ngx9jOfz6e3336bPvjgA5F258+fJwBiPbz79++nwMBAicfkPLwtD07ftWlKbt3GUNPDK/DGbg7fTDxnHqn9pkZwBqk5qzVpXGGP9drQtVL37NaXuzj6RXSz1l5J11ipGryxsbE0Y8YMGjt2LJmYmNDYsWNrffXu3ZtMTU2lOaxCURqDtw7jsFZ4gqTtWgJ1ZJEozs6WbdELjkZTXLMwSQtElbI0XLhwQezxkJCQOg1hSXj58iVVVVWJHFuxYgUNGDBA5NiVK1fqNHgHDRpEvXv3ppUrV1J6enqDY0qiP2WYX6oEp2/xyNJoFOi8ZgiCzwMf4jnzSP03dYIzSHuDNqk5q0nN0JYGDWWC+CHoB7lkaZDqdriBAwfC09MTs2bNQrt27dCzZ0+R8zweDwMGDMCCVlxiVWH4+DCv/d3cqrMu6Ooyn0+cYDZnubhI3q4+JA2baG4fdWSR2O3ri1WyLGvM0Wh2796NVatWKVqMetHV1UVCQgL7szITGBgoNqTsvffew8SJE3Hr1q0m9Su8MVlARUUFmwGiIV68eIEBAwYgLi4OO3bsgL+/P86ePSvR9Xw+Hw8ePBB7bv/+/WxIhbGxsVg5OaSHMvw+K4LG5tati8TsRPhE+iA5Pxlm+mawHWyLIL8grFq1SmTT3PH/jiOvLA/a6tqoqKqA71e+GGI8BHNPzYVtoC3upN7BqpHMNYqkoUwQaaVpYtfe9PR0pKenN9g/n8+XTJBGm9ISUFpaSp6enmLPRUdHU2VlpSyGVQhK4+GdOZMJTxDH2LHM+ca0q4uGwiESJAhSlyT0IiGBaMQIIi0tolWrRPpNjInhPLwtjARJnruKIq81QlFv2AYMGEBxcXEix+rz8Aq4fv06mZqakrGxcb1eHYH+JP2aPn06xcXFkaurK+Xn57Ovgjds2EDZ2dnk7u5O0dHRFBgYSGfOnKH79+/T3r17KSsrS6RtUVERbdu2jeLj4+nIkSN06dIlunnzJvn6+tKLFy9E2lZUVNCmTZsoOTmZ9u3bR+Hh4XTlyhUKCAighIQE2rJlC5WUlIhck56eTp6enhQREUHnz5+nkydPUmxsLLm5uVFeXp5I29zcXNq1axfFxMTQqVOn6OzZs3Tv3j3y8PCgjIwMkbbFxcW0bds2SkhIoMOHD1NYWBjduHGD/P396fnz57Rx40aqrKykDRs2UGVlJW3cuJGeP39O/v7+dOPGDQoLC6PDhw9TQkICbdu2jYqLi0X6z8jIoN9//53u3btHZ8+epVOnTlFMTAzt2rWLcnNzRdrm5eWRm5sbxcbG0smTJ+n8+fMUERFBnp6elJ6eLtK2pKSEtmzZQgkJCRQQEEBXrlyh8PBw2rdvHyUnJ9OmTZuooqJC5JoXL16Qr68v3bx5ky5dukRHjhyh+Ph42rZtGxUVFYm0zcrKor1799L9+/fpzJkzFBgYSNHR0eTu7k7Z2dkibfPz88nV1ZXi4uLoxIkTdOHCBYqIiCAvLy9KS0sTaVtaWkp//vknPXnyhA4dOkRXrlyh69ev0/79+ykpKYlcXFyIz+eLXJOSkkI+Pj50+/ZtCgkJoaNHj9KjR4/or7/+ot23d5OasxoZ/mlIvZx7UQeXDqTmrEbLvZdTcHAwBQUFUWRkJDm7OdPQPUNJ3VmdVoesphW/r6Ddt5hr9Tfpk7qzOmn9pkXqv6nTfLf5teQuLy+nzZs309OnT+nAgQN07do1unbtGh04cICePn1KmzdvpvLycpFr0tLSyNvbm+7cuUMXL16k48ePU1xcHO3YsYMKCgpE2r5+/Zp2795NkZGRNGXPFGq/oT3dvneb9uzZQ69evWLmankx6Trr0g/nfqC//vqLHj16REePHqWQkBC6ffs2WVtbN+p3X2Gb1gCgqKgIubm5qKqqYo/Fxsbi6NGj8Pf3l9WwckVpNlQ4OTFlgVNTa6cYMzFh0m65uEjeThyJiUzZYUFltsOHmQpsmppAeTmz8e3NG+Dzz5mfxXlua/YhXN3N15cp0xsezmxUa9eO2UCnpQXw+Yz3ecYMPJ00CW9du8a05dKItQiOHDmCGTNmKFoMhSDPNaKgoACzZs3C06dPMXLkSJFzPB4Pbdu2xYIFC2BpaSmV8U6dOoVr165h586dIsevXr2KsWPHit20JkxcXBwsLS3h7++P2bNni20j0J+RkRHOnz8vtk1ISAjGjx8PgPPwyoPW/PssSwSb38RVPfOJ9MHj5Y9FNqEJb2Cree0Xh75AxzYdYaBtIPWNc029r8Zu6pPUwzthwgRkZWUpbtParl27SF1dXWxqnE6dOslqWLmjNB5eSVOMNScVmXBMrXAssCCm9rPPGG8vwHhnxXluG6rutnChaIyxry/zWVub6VdfnyrV1GpvxONQKGFhYYoWoUHKy8vJ3d2d3N3dqby8XGr9ynuNkNcbtpycHJo8eTKVlZXVOieJh1fAlClT6I8//qjzvCT6U4b5pUpw+pYN9cW6tt/YvlaaMeENbMLXCqdDa2xqNFmlDqtvU19z1165V1qriY+PD/bs2YNTp05hyZIluHz5MsLCwjB37lzcuHFDVsNy1IWk1cOaU2VMOKZWOBbY0BB4+22miIWNDWBgAHz0EeNFnj+f8QI/eVK7D2EE1d3Cw6v71dVl+ouPB5YvZzzJ5uaIPHSIS0nWwtDW1la0CA1SXl6OZcuWYdmyZSgvL1e0OE1GW1sb9vb2KCoqQmpqKl68eMF+paSkYP78+c0eo7KyEj/99BPc3NyaXfe+d+/ebDq1pqIM80uV4PQtG+qLde3bvm+tQhLCVd+e5j6FRRcLEBEczzuioKwAC6wWNKr4hW+kL8z/NofnA09kFmbC84EnzP82h1+UX7PvzcbSBvHL4rHQaiG6tOuCRUMWIX5ZPGwsbeS29sqshtvnn38Oe3t7AMC///6LDz/8EDweDx07dsTGjRuxf/9+WQ3dOmjKxjBJq4c1tcqYmRlw4QKwejVw7BgTcpCSwhjOUVGAtjawezfTZ3Ky+M1wDVV369q1tkHcpw+wdStw/z7QpQviysowpGENcsiRp0+f4v3331e0GPWirq6OqVOnsj8rM+7u7lixYgVITMSaoaFhs/t3cnKCg4MDTExM2GNZWVkwMjJqdF/Pnz+Hk5NTs+RRhvmlSnD6lg31VT17nP8Y4/uPF2kvvIFNUNq42/ZueFP+Bl7WXuhj2EfiimmCCm7iwinsguwwusfoZodE1LWpT25rb9Oc0w0za9YsunTpEuXk5NDt27fpp59+ouLiYtqzZw/p6+vLali5o5CQBknz6cobFxcmrEBbm8jUlPkZIOrcmfluaVkdmiC8oUx4M1xDIRWLFjH3WzMtjlC/z58/l8/9ckhMa34milgjBg8eTJ6enhQYGEhLly6lq1ev0pUrV2jevHkUHx/frL5//vlnWrVqFZ0/f57Onz9PwcHB9OOPP9LZs2fZNiEhIQSAEmuEQO3du5dWrlxJeXl5VFlZSdu3b6fjx4/XO54k+mvN80sRcPqWDU2tepaYnUgLgxYSz5lHFnssKDYzVuJrBTSUOkw4JEJWYQ9NRSF5eIUJDQ2ltm3bkq2tLREROTo6smUtv/zyS1kNK3fk/sespebJFcg1ZgzzXVe32uAFiDQ0mO9WVkwc7xdfMEavuIwKmzczbbS0iHr0INLXrzboJYgx3rhxY9PkFypPLFE2CQ6JadIzUREUYfA6OTmxP//8889s7tyYmBj69ttvm9zv1q1bxe6O7tChAxt7d+vWLZo8eTIBoMWLF1NsbCx7/dGjR6lLly5kaGhI1tbWdPPmzQbHlER/rXl+KQJO37KjrljXyb9PbvK1kuTknXl8Jo31E5+haazfWJp5nHFK+TzwERnD8E9DqRbYaAoKN3iJiEpKSqiiooL9HBoaSmfOnKHXr1/Lcli5Ivc/Zg1t6mpKKi5pGHvCcoWGMgarwLMLEHXpUv2zrm61Z5rHY74EhrrAe62vzxi7WlrM+c2bq8cSbFQTeLg7dBDxcDd6U05L9ZirEKqUirCxKMLgVaU3bJLorzXPL0XA6Vu2iCtgIanOm1r8omYFNwHCHt6GKqZJs9BGY2gRBm9VVRWlp6fT8+fP2a9nz57RihUrZDmsXJH7H7Pm5smtibSMPWG5hI3fxETGcDU2rs7QoK0tmqNXTY1p1xjvdWKiqJEudI4teymJId9SPeYqhjKUIi0qKqJu3bpRt27dqKioSGr9KsLgVaU3bFxp4ZYHp2/5I2udSxJO0Ziwh8bQ3LVX4Qavr68vGRgY1EpJJlh0VQWFeXjriWGVGGkae8JyCRu/ArkEacjee4/I3LzaCI2NrZZbSt7ryspKyQ15WXjMOWqhDB4hVSotTKQ6b9g4D2/Lg9O3/JGHzhsKiZA07KGxNHftVXhashUrVuCbb75BcHAwLl++LPI1Z84cWQ2r+tjaAvn5TCGGkhLmmKAwQ0EBk01BUoRThwkyIggyJ+jpMZkTmiKXqSkQHQ3k5FTL1bEjMGgQk37sq6+AgAAmK8PAgUy6MUHmhvpSkklYKnjvqlVMYQpbWyb12eXL4lOgAVIbk6N+XBoqR90C0NHRQWRkJCIjI6FTcz4oIdra2nj16hWbkqxfv37o378/Nm7cqGjRpI4yzC9VgtO3/JGHzutLHQYwWSSiM6NRwi8RuU6QCcJM36xJ48pt7W2SOS4BgwcPpszMTLHnJElGriwoxHvTQAyrxEg7PEIgl75+9aYzQRGI1auZUAZB+IIAYU+qlLzXeQ4Oknttpekx56iT1ryrWxFrhCq9YeOyNLQ8OH3Ln5ag86ZmkZA1Cvfwenl54cSJE2LPRUREyGrY1oGg2MLChUCXLkye3Pj4xhdbMDNjPLElov+tsTlv6ykJWq9cS5YA773HlPvV0wP27WPKFZeVMfl9Bbk7a3qmpeS9zrl/X3KvrTQ95hx1cvXqVUWL0KpobW/YuPklXzh9yx9Z6zwxOxFOl5ww68QsOF1yQmJ2Yq02gry/vlG+MN1hinH+42Dylwl8o3zZvL8tGZkVnli/fj0SEhJw5MgRqKlV29VVVVWIiorC9OnTZTV066BPHyYkoDnY2jIFGxwdq8MammvsCcv15El18QoHB6bC2rp1TMiDhQVjVBcUiFZw8/Jiwg5Onqy7TQNo9u0LnDtXd/GKRUIJuAWV5Zo5Jkf9vPXWW4oWoUH4fD4OHjwIAJgzZw40NTUVLFHT6d27NzZv3iy2EIRZY/+RVQKUYX6pEpy+5Y8sde4b6Qv7YHvo6+jDoosFQp6GYOutrfCy9mLDGQTYWNpgdI/R8H7gjeT8ZCwasggLrBY0y9iV19orM4O3a9euKCwsRM+ePUUMXj6fjyfCMZQcikPWxp44o3zKFMYIjo1lyg137Ag8fsxUjuvbt+lV3oRI+fRTmAYESG7IS2HMemlKVTwVo6ysTNEiNEh5eTlbdnfatGlKbfAK3rAtWbKk1rmIiAiVM3qVYX6pEpy+5Y+sdN6UCmt1VUxrKvJae2Vm8C5btgxGRkZia6RfvnxZVsNyNBZZG3s16dMH6NeP8Szr6zNGtqcn89nLi5Gnmd7rF9raGNlYQ14aHnNx+PoyG+gE9xoSInqvrYRXr14pWoQGUVdXx8SJE9mflZnW9oZNGeaXKsHpW/7ISuc+kT7Q19GH2wQ36GgwYYC6mrpwm+CGE49OwPuBt1SNW3HIa+2VmcFrZWWFkpqxof9j3LhxshqWoynIytgDans3x42rzqDg6irqfbWzY4zvZhrbVlZWjAdVnoa8OBITZX6vyoKVlZWiRWgQHR0dnD17VtFiSIXW9oZNGeaXKsHpW/7ISufJ+cmw6GLBGrsCdDV1YdnVEsn5yTIZVxh5rb0y27QGANbW1mKPr1q1Ch999BEcHR1x584dWYrAoUh8fQFzc8aDm5nJfP/sM2YzmTRSodVBUFAQ84PAkBekQJO3cSnNtG9KDvtMOOTCsmXLcOjQIfj7+8PX15f9OnDgAPbt26do8aQON7/kC6dv+dMYnUuyAU2ArFKNtURkavBmZmZi4MCBMDQ0xKpVqwAAUVFR2LlzJw4dOgQ3NzccOXIEsbGxshSDQxEIezeFc+H26gUUFzM/CyNp3tvERMDJCZg1i/meWPsX2cHBoXlyN9C/xHA5flma9Uw4Go2VlRU6duwo9pwqvmHj5pd84fQtfyTVuW+kL8z/NofnA09kFmbC84EnzP82h1+Un9j2toNtkV+aD8fzjqzRK4jhLSgrwAIr1clUJDOD18/PD927d4eNjQ02bdqEtLQ07Nu3D8n/+yNvbGwMAFi6dCl+/fVXWYnBISsaMgzr8m5+8w3zs4eHaHtJUqGJ8xibmwN+fiLNtm/f3rR7krB/iZF22jclpsnPRI4UFxejb9++6Nu3L4qLixUtTrNpTW/YlGF+qRKcvuWPJDoX3oCWujIVl+ddRurKVMy3nA+7IDs8yakdztQSUo3Jbe2VVSJgJyenWsdcXV3p6NGjpKmpyR4rKioiQ0NDWYkhcxRVNlShSFK2t66iFgkJRABR796NK2cszTLI8upf0KednWxk5pAqqlZaeNCgQTRgwADq0KED/fDDD0REFBkZSWpqapSWlkZERCtWrKCYmBi5ytVYWuUay8HRBNaGriXDPw2phC9adKm4vJg6bO5Aa0PrLqSUmJ1Ia0PX0szjM2lt6Fq5FpFQ+tLCnTp1Evmcl5eHV69eoaKiAm3atGGPZ2Vloby8XFZicEibukIVapbtrcu7aWoKtG0LJCUxP48bxxSi8PWtPxVaI+Jhm1Q6Vbj/1FTGa21ryxxr165p8baCtG++vo27VxVEGcrZ6ujo4MaNG7hx44bSlxZubW/YlGF+qRKcvuWPJDpvzgY0QaqxgCkBcPnERa5FJOS19sosS0NOTg6mTp2Kt99+G1lZWQgPD8eAAQPw/PlzaGhoICsrC0ZGRjh69CjefvttWYnBIW2EDUPBxBQYnidOMIahi0v9RS1KS4HQUODSJckyKCQmAoGBgIYG8NtvonlsxcTD2tvbN/6+BPG2AQG104jl5wNXrjS+T0D+ad9aKE16JnJGXV0d77//vqLFkAoJCQkiu54XL14MNzc36OrqQl1dHTweDwDQrVs3XLt2TVFiSg1lmF+qBKdv+SOJzs30zRDyNAQl/BLoalYXXRJsQFs0ZFE9VysOea29MvPwOjs7Y8CAATh79iySkpKwb98+uLu7AwB27dqFP/74A+PHj8evv/6KZcuWyUoMDmkj6UashrybH38sWQYFQVxtUhKQk8PE/grH1YqJhw0MDGz8fZmZAZGRjJda2HudmAhoawMREdXe68ai6GwRLYAmPROOJtPa3rBx80u+cPqWP5LovDVtQGsKMvPwamho4LfffsNvv/0mcnz16tUYOHAgZs2ahUuXLmHu3LmYO3eurMTgkDZmZozXU5Kyvc31bgqHTyxfDgweDHz1FXPOzg4YOpTJb1ujetqQIUMaf1+2tsCffwJaWsx3gUd6zRqgogJo377ae83RaJr0TORMRUUFTp06BQD45ptvoKEhs+VR5rS2N2zKML9UCU7f8kcSnQs2oNkF2eFk/ElYdLFAVEYUCsoK5LYBrSnIa+2V6YpeVFSE3NxcVFVVscdSUlKwfft2+Pv745NPPpHl8ByyoL5QBXFle5tT1KJm+ISgepq+PsDjAe+9B/D51fGw/ytyYXzrFjBqVONK+Pbty/R39y7TV83qbPv2tao0YtImMzNT0SI0SFlZGVuBrLCwUKkNXmdnZ2zYsAGBgYHo1KkT9u3bh+7du2PNmjXsG7ZHjx4hPDwce/bsUbS4zUYZ5pcqwelb/kiqcxtLG4zuMRreD7yRnJ+MRUMWYYHVgmYbu4nZifCJ9EFyfjLM9M1gO9gWfTtK+Pe1AeS19spsRXd3d8eKFStARLXOGRoaympYDlkjCFVoTNneplIzfELYY+zjA3TsCAQFMWMKlfDV7NatdrliSRg3Dnj8uDqkQeCRNjEBfvhB1HvN0SiU4bW5mpoaxowZw/6szLS2N2zKML9UCU7f8qcxOhdsQJMWvpG+sA+2h76OPiy6WCDkaQi23toKL2sv2FjaNLt/ea29MjN4fXx8sGfPHnTp0gUhISGYNm0aiAh+fn5wcnKS1bAc8kBeG7HEhU/06QP88gsTy/vVV9WeXaESvhlPnqBznz6NL+Er8F7n5TEGdUPeaw6JeeuttxQtQoPo6uri6tWrihZDarSmN2zKML9UCU7f8kdROhfO7ev6uSt0NXXZuGC7IDuM7jG62d5jea29MjOlP//8c9jb28Pa2hr6+vr48MMP8dFHH2HVqlVSSWlSWloKV1dXjBgxos428fHx+OGHH7Bjxw5cvnxZ5FxgYCB4PB77tXjxYpHzR48exaxZs7Bw4UIuBYs45LERy9aWyZDg6Fid3kycAVojZdm1a9eaVsKXSyMmM1QhE4Ay4e7uDn19ffTs2RO9evViv6ytrXHu3DlFiyd1uPklXzh9yx9F6dwn0gf6Ovpwm+DGZn7Q1dSF2wQ36GnrwftBE1J2KgiZeXiTk5MRFhYGKysrfPnll1i7di2cnZ1x8+ZNBAcHN6vviooKBAQEwNPTE0VFRWLbHDlyBHv27MGxY8fQuXPnWucPHz6MHTt2sJ+/EVQAA3DhwgX8/PPPiIuLg7a2NqytreHq6orvv/++WXJzNBJJwydqhD58++23zPGmlPDl0ojJBPaZcMiF1vaGjZtf8oXTt/xRlM6bk9u3pSEzD6+trS2++uorrF69GiNGjEBpaSnatm2LpUuXsrEaTUVDQwPz58/Hl19+Kfb8hQsXsHr1ahw+fFissXvjxg2MHDkSK1asYL969uzJnl+9ejVmzpwJbW1tAMDs2bPxyy+/1Glcc8gQGxsgPh5YuBDo0oUxQOPjReNyaxS5EKS/q7OEb0Nlkbk0YlKHfSYtmJKSElhaWsLS0hIlNQumKBmyfsPW0lCG+aVKcPqWP4rSuZm+GaIzo9k0ZwIEuX3N9M2aPYbc1t4m1YGTkJKSEqqoqGA/h4aG0pkzZ4jP50ul/19//ZV69uwpcqygoICMjIzo0KFDdV43adIk6tatG9nb21NijfKu//33HwGgEydOsMcSEhIIAB07dqxWX1zZyxZAY0r4SlIWmaNVokqlhWfNmkWXLl2inJwcun37Nv30009UXFxMe/bsIX19fbnJIQ24NZaDQ3EkvE4g9d/UyS7QjorLmb+vxeXFZBdoR+q/qUulBLHw2hv1PEqkxHHC64QGr5d0jZBZSMPFixfx2WefiRz75JNPEBoaitzcXLGeV2ng4eGBkpIS5OXlYerUqUhISIC9vT2WL18OgNnIYWBgAFNTU3h7e2P//v04cuQIrK2tAQAREREAgI4dO7J9GhkZAQAiIyMxdepUsePy+Xw8ePCgQfmMjY3Zsp4cUqJG6EOyvj7M8vJqhz7U2NwmsimtMZvbGsP/UqUhOZnxNDcmVZoKsXHjRqxfv17RYtSLjo4OQkJC2J8bIj09Henp6Q224/P5zZatsQjesM2YMQPe3t4ICAhA27ZtwePxMGnSJLnLI2uUYX6pEpy+5Y+idC6P3L6Ctffik4uw8rGCQRsDmWSDkJmHd8mSJWKP5+bm0siRI6UyhjgP76hRo2jAgAGs53bnzp0EQKzHNyYmhgYOHEht2rShFy9eEBHRli1bCADFxMSw7SorKwkALVy4sFYfgv8sJP2aPn06xcXFkaurK+Xn59OGDRuIiGjDhg2UnZ1N7u7uFB0dTYGBgXTmzBm6f/8+7d27l7KyskTaFhUV0bZt2yg+Pp6OHDlCly5dops3b5Kvry+9ePFCpG1FRQVt2rSJkpOTad++fRQeHk5XrlyhgIAASkhIoC1btlBJSYnINenp6eTp6UkRERF0/vx5OnnyJMXGxpKbmxvl5eWJtM3NzaVdu3ZRTEwMnTp1is6ePUv37t0jDw8PysjIEGlbXFxM27Zto4SEBDp8+DCFhYXRjRs3yN/fn54/f04bN26kyspK2rBhA1VWVtLGjRvp+fPn5O/vTzdu3KCwsDA6fPgwJSQk0LZt26i4uJjt333FCipcvpziBw+mlzY2dOWff+jUqVMUExNDu3btopIVK6hIV5fof/eal5dHbm5u9PDuXSpr146eTp9OERER5OnpSenp6SJyl5SU0JYtWyghIYECAgLoypUrFB4eTvv27aPk5GTatGkTVVRUiD7PbduoUk2NyvX0KNvSkkrbtaMqdXU6P2MGFRUVibTNysqivXv30v379+nMmTMUGBhI0dHR5O7uTtnZ2SJt8/PzydXVleLi4ujEiRN04cIFioiIIC8vL0pLSxNpW1paSn/++Sc9efKEDh06RFeuXKHr16/T/v37KSkpiVxcXIjP54tck5KSQj4+PnT79m0KCQmho0eP0qNHj+ivv/6iN2/eiLR99eoV7dmzhyIjIyk4OJiCgoIoMjKSdu/eTa9fv2bbrlu3jgoKCmjHjh0UFxdHx48fp4sXL9KdO3fI29u7ltzl5eW0efNmevr0KR04cICuXbtG165dowMHDtDTp09p8+bNVF5eLnJNWloaeXt70507d+jixYt0/PhxiouLox07dlBBQYFI29evX9Pu3bspMjKSgoKCKDg4mCIjI2nPnj306tUrkbZv3ryhv/76ix49ekRHjx6lkJAQun37NllbWzfqd1/eHkpZv2GTF5J4b/Ly8uQoEQenb/mjaJ0nZieKeF6l4dkVRuBJtg+yb7QnWVIPL49ITKLcJvLw4UNs3LgRWVlZSEhIQL9+/Wq1ef78OcrLy5GSktLs8ZydneHn54dkoU1JHTt2xOzZs7Fr1y4AABGhe/fuMDIyEuuBzcjIQP/+/bF69Wr8/PPP2LZtG3788UckJiaiz/+8fXw+H1paWli6dGmtOBpTU1OkpaXByMgI58+fb1BmzsMre3bt2sV69EWYNQvIzGRKBtdk3DgmRjggQDpCJCYyJZDFeZN9fZk45FYUG1znM1FiJPXwTpgwAVlZWTAxMUFqaqocJBP/hg0AQkNDYWlpKbM3bLJAsMbWpz9VnF8tGU7f8kfVde50yQmeDzyR9kOayAa5En4JTP4ywaIhi+rMLSzJGgFIOUvDwIED4enpiVmzZqFdu3YiG8EAgMfjYcCAAVggw3ymhYWFaNeunciY48aNw8mTJ8W279q1K2xtbVmjWWCM5ufni/QJoN4/EpqamrCysmqu+BxSYOzYseJPNKYscnOpWSUOqE6VduJEqytTXOczaUFUVFTg4sWLAIDPPvuswWo/kv7zqqmpKRX5GkNgYKBYg/e9997DxIkTcevWLbnLJEuUYX6pEpy+5Y8q67yiogK3Lt+CSYkJNGqYpdLMBiH1GF49PT2cPHkS+/btg729vbS7bxBTU1Pk5OSIHOvSpUu91d169+6N169fAwAsLCwAAFlZWez5jIwMAMCwYcOkLS6HDEhMTMTAgQNrn2hsWeTmULNKnICmpEpTAep8Ji2IsrIyNr5VGUsL13zDFh8fX6uN4A2bqqEM80uV4PQtf+Spc1mWERZHWVkZrrtcBwDk/ZqHTgad2HOCbBCLhjTfISWTtGTa2towMTHBuXPnEBMTA4DJC2lpaYnp06eLGJPSZtKkSbh9+7bIsZycHHz88cd1XhMbG4vZs2cDYLzUFhYWuHPnDns+JiYGnTp1wkcffSQTmTmki66w91YYeRaWqJEqjaWuVGkqTp3PpAWhpqaGoUOHYujQoUpZWljwhk1XV5d9wyb8ZWZmhokTJzY7D3pLRBnmlyrB6Vv+yEvnvpG+MP/bHJ4PPJGUm4Sd/+7E2+5v44tDXyAxO7HhDpqAmpoaBloOBLoBP4b+yKZAE1R0KygrwAIrKTikpBdyLIq2tja5ublRfn4+Xb16lXg8Hn3yySe0c+dOsrW1lcoYP//8c60g5bS0NOrUqRNdvnyZiJh0F71796aEBCa1xenTp2nBggWUnp5OREQHDx4kNzc3kT5OnTpFFhYWVFlZSUREEyZMoL///lusDFzKnJZHRERE/Q0SE4nWriWaOZP5nijd4HsialyqtFZAg89EhZH3GlFaWkqenp5yGUseSKK/1jy/FAGnb/kjD50Lbxzbe3cvqf+mToZ/GpLxNmOCM0j9N3XyjfSV2fi+kb7smGP9xlKHzR0kGlPSNVZmbozvvvsOy5cvh56eHpycnNCrVy8EBwfj+++/R7du3Zrd/4kTJxAUFIT09HTs3LmT9Rp369YNly5dwo4dO/D7779jxYoV8PPzQ9//pYLq0KEDLl26hH79+uHzzz+Hnp5erUDwr7/+GkuWLMH8+fOxcOFCfPbZZ3BwcGi2zBzyISoqqv4G8igswZUpFqHBZ8IhNRT5hk1RcPNLvnD6lj/y0LmgjLDjcEcsPbcUtoNtkboyFU8dn8JA2wADjQbCLsgOT3KeyGR8G0sbxC+Lx0KrhejSrgsWDVmE+GXx0klJBkCqWRqEWbt2LTZv3ozDhw9j9uzZOHz4MKZPnw4AGD9+PJvvUtmRdHcgh/zIyMhA165dFS0Gw5Mn1WWKzcxabZniFvVM5Iwi1ggdHR1s3boV8+bNQ2RkJMaOHYuPP/4YkyZNQkxMDLy9veUihzSQRH+teX4pAk7f8kceOp91YhaSc5MBAA8yHsBxmCMWDlmIvh37Ypz/OHRs0xFhz8LqzZigCCRdY2Xm4e3duzeGDRuG7777DpMnT8b06dORmJgIe3t7hIWFyWpYDg54eXkpWoRquDLFAFrYM6mDkpISvP/++3j//feVvrSwrN+wtTSUYX6pEpy+5Y88dF5QWoA7aXdwP/0+2mi2gU+UDxPPe98TURlR6NOhj9QyJggjr7VXZtuQFy5ciC+++AJZWVkYPHgwACafrZ2dHezs7GQ1LAcHVwGoBaIMz6SqqopN11VVVaVgaZqHICvN4cOHcefOHRw+fJitHvfvv/8qUjSZoAzzS5Xg9C1/ZK3zxOxEXHhyATzw8E6nd5D2Jg2JyxKxKmQVFp9ZDDWeGua8Owce9z2kkjFBGHmtvTLdimxiYsIauwDQv39/DB8+HMOHD5flsBzNITERcHJiijQ4OTGflYyNGzcqWgSOGijDM9HW1sapU6dw6tQpaGtrK1qcZtHa3rApw/xSJTh9yx9Z69wn0gcGugbwmOSBuKw45JTkYOCegTgdfxoEwie9PoHrHVfpZUwQQl5rr8xieFsLKhXD6+sL2NszBRMsLJi0Wvn5zCYrGxtFSycxpaWlrDeLo2XQmp+JotaItLQ0kTds//33H968eQMASuV0kER/rXl+KQJO3/JH1jqfdWIWMgszcXneZTzJeYLvz3+P80/OQ1tDG1pqWiitLEVlVSW8rL2ktolMWig8hpdDyUhMZIxdW1sgNZUpv5uaCsyfD9jZMZuvlARBWWmOlgP3TORPa3rDxs0v+cLpW/7IWudm+maIzoxGCb8EfQz74Oycs0hYnoBl7y1DSUUJrLpaSTVjgiKQmcFbXxzGs2fPZDUsR1MRLoUrSHAtKIWrp8dkGlASvv76a0WLwFEDZXgmlZWVuHr1Kq5evYrKykpFi8PRCJRhfqkSnL7lj6x1bjvYFvml+XA878gWfjBpb4K80jxUURX2T96PPoay2XQtr7VXZgbvvn376jzn5uYmq2E5mooKlcK9f/++okXgqIEyPJPS0lKMHTsWY8eORWlpqaLF4WgEyjC/VAlO3/JH1jrv27EvvKy94BvlC9MdphjnPw4mf5nAN8oXXtZeMjN2AfmtvTIzeL29vWtZ6nw+H0uXLuVeh7REVKgULpcfsuWhDM+Ex+Ohf//+6N+/P3g8nqLFaRat7Q2bMswvVYLTt/yRh85lXfihLuS19srM4OXz+Vi4cCG78D59+hQjR46Ev78/LCwsZDUsR1OxtWU2qDk6Vhu9JSXM54ICpmCCkqChIbNsexxNRBmeSZs2bRAXF4e4uDi0adNG0eI0i9b2hk0Z5pcqwelb/shL530M+8DlExcETAmAyycuMvXsCpDX2iszg/fSpUuYP38+7O3tsX//fgwePBhEhMjISFy7dk1Ww3I0FRUqhZuUlKRoEThqwD0T+dLa3rBx80u+cPqWP5zOm4/MDN527dph9OjRmD9/PpYtWwZ7e3v8+++/6Nu3L86fPy+rYTmag40NEB8PLFwIdOkCLFrEfFailGQA8OGHHypaBI4acM9EvrS2N2zc/JIvnL7lD6fz5iM1H/nEiRPrDDbu2bMnIiMjMX78eFRWViImJgbTp0+X1tAc0kRQCleJOXToEJycnBQthmxITGQyaiQnM3HVtraMd76FowzPpKSkBNbW1gCAoKAg6AqylSghly5dQlRUFOzt7fHRRx9h6dKl6Nu3LyIjI1Uy/lIZ5pcqwelb/qiyzuW19kqt8MScOXOQmpoKMzMzqKnV7TgWpJ948eKFNIZVOCpVeEJFqKyshLq6uqLFkD5KXBhEGZ5JUVER2rVrBwAoLCxE27ZtpdKvIteIGzdu4IsvvoCdnR3+/PNPaGho4OjRo0rlcJBEf8owv1QJTt/yR5V13ty1V9I1VmoeXgcHB/Tv3x8dOnRosG1QUJC0huXgqIWLi4vq1XoXLgzi6sqkixNsKrSzA0aPbtFx1srwTLS1tXHgwAH2Z2Witb9hU4b5pUpw+pY/qqxzea29ci8tHBsbiwEDBtTrBVYmOA8vh1xwcgI8PYG0NNFcySUlzObCRYuUPhRFVZHHGqHKb9i4NZaDg6M+5O7hFUdRURFyc3NFckK+ePEC27Ztg7+/vyyH5mjFbNy4UfX+E1bywiAq+UxaEK39DRs3v+QLp2/5w+m8+cjM4HV3d8eKFSsgzoFsaGgoq2E5ODBv3jxFiyB9zMyAkBDGoysc0C8oDLJokaIkkwhleCaVlZV48OABAMDKykqp4uXef/99idrFxsZi0qRJMpZG/ijD/FIlOH3LH1XWubzWXpnFFfj4+GDPnj04deoUlixZgsuXLyMsLAxz587FjRs3ZDUsBwfCwsIULYL0UfLCIMrwTEpLSzFs2DAMGzZMJUoLFxUVITU1FS9evBD5mj9/vqJFkzrKML9UCU7f8keVdS6vtVdmHt7PP/8c9vb2AIB///0XH374IXg8Hjp27IiNGzdi//79shqao5XTr18/RYsgfQSFQezsgJMnmfCGqCjG2FWCwiDK8Ex4PB569uzJ/qzMtLY3bMowv1QJTt/yR5V1Lq+1V2Ye3uTkZISFhSE3Nxdffvkl1q5di5KSEty8eRPBwcGyGpaDAyUCD6iqocSFQZThmbRp0wbJyclITk5W+tLCre0NmzLML1WC07f8UWWdy2vtlZmH19bWFl999RVmzJgBb29vBAQEoG3btuDxeCoZQ8bRcsjOzla0CLJDSQuDqPQzaYG0tjds3PySL5y+5Q+n8+YjM4P3k08+wevXr6GpqQkAcHV1hbW1NUpLS/HZZ5/JalgODpUsnarscM9EvgjesFlZWbFv2JydnVX2DRs3v+QLp2/5w+m8+cgspKGwsBCOjo5Y8L/NNNnZ2bh//z50dXWhoSHTbGgcrZwzZ84oWgSOGijDMyktLcXXX3+Nr7/+Wuk3rQnesK1evRojRoxAaWkp2rZti6VLl2LMmDHN6jsjIwNTpkyBvr4++vTpgz179tRqExQUBEtLSySLSZdXVlaGxYsXY9myZZg5cybu3LnTLHkA5ZhfqgSnb/mjyjqX19ors8ITtra2OHv2LD788EMcO3aMPT5lyhRMnjwZc+bMkcWwcodLit7yKC4uVvoYTFVDGZ6JqpUWLi0thaamJpviJywsjH3D1hynw8SJEzFs2DD07dsXvr6+CAsLw759+zB37lwAwNmzZ+Hl5YXTp08jKSkJZmZmItfPnj0bZmZm2LRpE9LT02FpaYm7d++iR48eYseTRH/KML9UCU7f8keVdS6v0sIy8/BGRkbi8ePHGDp0qMjx8ePH49dff5XVsBwc+OuvvxQtAkcNlOGZaGlpwdPTE56entDS0lK0OM1CVm/Y4uLiYGtrC2dnZ8yZMwcXLlzA22+/jX/++Ydt88UXX2BRHXmh7969i4CAANja2gIAjI2NMXjwYPz2229NlglQjvmlSnD6lj+qrHN5rb0yM3hHjRoFAwODWsfDw8ORlZUlq2E5OLhqNC0QZXgmmpqasLe3h729Pbv3QFlxdHREYGAgioqKAAAdO3bETz/9hL///hsHDx5scr+GhoaYMmUK+1lDQwMTJkxATk6OSDudmhUB/8fx48fRvn179BFKozdkyBAcO3ZMpCJnY1GG+aVKcPqWP6qsc3mtvTIzeI2MjJCens7mVMvLy8OPP/6IQ4cO4ZtvvpHVsBwc2Lhxo6JF4KgB90zki6zesBkbG9fKk1lRirmU2AAANWNJREFUUYERI0ZIdH1ERAQ6duwocszIyAhv3rzB06dP672Wz+fjwYMHYr8cHBzYn9PT0xt3UxyNhvt9lj+tUefp6el1/s4Lf/H5fMk6JBlRUlJCy5cvJzMzMzI3NyddXV3i8Xg0efJkys/Pl9WwcsfExIQAkImJiaJF4fgfWVlZihaBowbK8EwqKyvp4cOH9PDhQ6qsrJRav4pYIxwcHIiIaPPmzSLH58yZQ+3bt5fqWAMGDKC4uDiRY1euXCEAlJSUJHK8f//+ZGVlJXLM29ubANCtW7fE9i/Qn6Rf06dPp7i4OHJ1daX8/HzasGEDERFt2LCBsrOzyd3dnaKjoykwMJDOnDlD9+/fp71791JWVpZI26KiItq2bRvFx8fTkSNH6NKlS3Tz5k3y9fWlFy9eiLStqKigTZs2UXJyMu3bt4/Cw8PpypUrFBAQQAkJCbRlyxYqKSkRuSY9PZ08PT0pIiKCzp8/TydPnqTY2Fhyc3OjvLw8kba5ubm0a9cuiomJoVOnTtHZs2fp3r175OHhQRkZGSJti4uLadu2bZSQkECHDx+msLAwunHjBvn7+9Pz589p48aNVFlZSRs2bKDKykrauHEjPX/+nPz9/enGjRsUFhZGhw8fpoSEBNq2bRsVFxeL9J+RkUHbtm2je/fu0dmzZ+nUqVMUExNDu3btotzcXJG2eXl55ObmRrGxsXTy5Ek6f/48RUREkKenJ6Wnp4u0LSkpoS1btlBCQgIFBATQlStXKDw8nPbt20fJycm0adMmqqioELnmxYsX5OvrSzdv3qRLly7RkSNHKD4+nrZt20ZFRUUibbOysmjv3r10//59OnPmDAUGBlJ0dDS5u7tTdna2SNv8/HxydXWluLg4OnHiBF24cIEiIiLIy8uL0tLSRNqWlpbSn3/+SU+ePKFDhw7RlStX6Pr167R//35KSkoiFxcX4vP5ItekpKSQj48P3b59m0JCQujo0aP06NEj+uuvv+jNmzcibV+9ekV79uyhsLAwCg4OpqCgIIqMjKTdu3fT69evRdoWFBTQjh07KC4ujo4fP04XL16kO3fukLe3dy25y8vLafPmzfT06VM6cOAAXbt2ja5du0YHDhygp0+f0ubNm6m8vFzkmrS0NPL29qY7d+7QxYsX6fjx4xQXF0c7duyggoICkbavX7+m3bt3U2RkJAUFBVFwcDBFRkbSnj176NWrV7X0/dNPP1FQUBAdPnyYQkJC6Pbt22Rtbd2o3/2G1liZbVoT8OLFC8TFxaGsrAz9+/dXuWoh3Ka1loeHh0edMYQcikEZnokqbVr77bffsHDhQuzfvx8//fQT8vLy8Mcff2D79u2YO3cu/P39pTLOqVOncO3aNezcuVPk+NWrVzF27Nham9YGDhwIAwMDkeIX//zzDxYuXIi7d+/W8kgD1fozMjLC+fPnxcpx4sQJNtTC2NgYxsbGzb85jjpRht9nVUOVdV7X2pueni7RG5sJEyYgKyurwTVWqvnBHj9+DFdXV6SkpMDc3BwrV65Ejx496tx9y8EhC9577z1Fi8BRA2V5Jp06dVK0CFJhzZo1+OmnnxAcHAw/Pz8kJyejtLQU33zzDXbt2iWVMXJzc3HgwAEEBARIfI2xsTEyMjJEjhUWFgIAOnfuXO+1mpqasLKyqvN8fec4pIuy/D6rEqquc3Frr6T/vEoa9ys1gzcqKgpjxozBmzdvADCpaXx8fBATE4Nu3bpJaxgOjgbhYvhaHsrwTNq2bYtXr14pWgypoKOjAzc3N6xevVomb9gqKyvx008/wc3NrVG7qi0sLBATEyNyLCMjA127dm2WY0QZ5pcqwelb/qiyzuW19kpt09qvv/4Kc3NznDlzBvHx8Th37hz69u2L7du3S2sIDg6JqKysVLQIHDXgnonsefz4MRwcHPDll1/ip59+Qnp6Onr06IEJEybg66+/lmo4mZOTExwcHGBiYsIekyT7zrfffousrCwkJSWxx2JiYjB58uRam+EaAze/5Aunb/nD6bz5SM3D+/TpU0RERLCJkfv164dRo0apbMwJR8ulZqJ7DsXDPRPZIs83bOvWrUNVVRUyMzNx4cIFVFRU4Pr16/joo48wceJEAGB3TVdUVIhca2lpia+++gqnTp3CDz/8gJSUFERHR4vk8W0K3PySL5y+5Q+n8+YjNQ+vmZlZrSogenp6ePvtt2u1Fa68xsEhbcLDwxUtAkcNlOGZlJaWYs6cOZgzZ47SlRaW1xu2bdu2YdOmTdi+fTsmTJiACRMm4Msvv4SXlxc+/fRTAMDt27exd+9eAMD27dvx8OFDkT7279+P6OhorFq1Ck5OTjh79ixMTU2bJZcyzC9VgtO3/FFlnctr7ZValgYzMzP8+uuvqNnduXPn2P/6AaY8no+PDx48eCCNYRUOl6Wh5ZGTkwNDQ0NFi8EhhDI8E2XO0jBw4ECRN2wAUFBQgEWLFjVqU1lLRBL9KcP8UiU4fcsfVda5vEoLSy2k4cWLF2wZy5qcPHlS5HNzYrU4OERITAR8fIDkZMDMDLC1xe4jR1S6Ko0ysnv37hb/TLS0tLBjxw72Z2WisW/Ypk2bJi/R5IIyzC9VgtO3/JGWzhOzE+ET6YPk/GSY6ZvBdrAt+nbsKwUJm4681l6peXjnzJmD9evX11p0a1JcXIyNGzc2q7xlS4Lz8CoQX1/A3h7Q1wcsLIDoaCA/H/DyAmxsFC0dBwcA+awRqvyGjVtjOTikg2+kL+yD7aGvow+LLhaIzoxGfmk+vKy9YGNpo2jxmozEa0S9ZSkaQV1VcprbtqXDVVpTEAkJROrqRPb2RMXFzLHiYiI7O6pUUyNKTFSsfBwiCKrqtEbksUbweDyJv9TU1GQmhyyQRH+teX4pAk7f8qe5Ok94nUDqv6mTfZA9FZczfzOLy4vJLtCO1H9Tp8Rs5f2bKekaK/NKa7KitLQUHh4eCAgIwJ07d8S2iY+Ph6enJ7p37w4LCwuMGzcOAEBEWL9+PbKyslBcXIyZM2fiyy+/FLn28uXL2Lt3L4yMjKCpqYmtW7dCQ6N2BAjnfVAQTk6ApyeQlgbo6FQfLykBdesG3uLFgIuL4uTjEKGgoAB6enqKFqNeqqqq8OLFCwBAjx49oKYmnT298lgjVPkNmyT6U4b5pUpw+pY/zdW50yUneD7wRNoPadDRqP6bWcIvgclfJlg0ZBFcPlHM38zmrr1yj+GVJxUVFQgICICnpyeKiorEtjly5Aj27NmDY8eO1args27dOiQnJ+PQoUMoLi7GO++8A2NjY7asZXR0NGbPno2HDx+iU6dOcHR0xI8//sjGmHC0AJKTmTAGYWMXAHR1kdq5M7onJytCKo468PPzg6Ojo6LFqJeSkhL06tULgHQ3rcmDZcuWwdzcXOK2qoYyzC9VgtO3/GmuzpPzk2HRxULE2AUAXU1dWHa1RHJ+cjMlbDryWnullpZMnmhoaGD+/Pm1vLICLly4gNWrV+Pw4cO1jN20tDRs374dtra2AIA2bdpg4sSJWLNmDdvm559/xieffMKWups9ezZ27dqFZM6IajmYmTExuyUlosdLStAtM5M5z9Fi+OSTTxQtgkS0adOmQS9pS2TkyJEyaassKMv8UhU4fcuf5urcTN8M0ZnRKOGL/s0s4ZcgKiMKZvpmzeq/uchj7VVKg1eATk3vHoA3b95g3rx52LJlC7p27VrrfFBQEMrLy0Xqrg8ZMgRXrlxBVlYWCgoKEBISInLe0tISRITjx4/L5kY4Go+tLbNBzdGx2ugtKUGxnR3w5g2y6vhniEP+pKen47fffmvxpTHbtm2LoqIiFBUVKZV3t7WjLPNLVeD0LX+koXPbwbbIL82H43lH1ugt4ZfA8bwjCsoKsMBKfJYteSCvtVcpQxrqw8PDAyUlJcjLy8PUqVORkJAAe3t7LF++HAAQEREBNTU1dOjQgb3GyMgIRITo6GhoaWmhoqICHTt2ZM/r6OhAT08PkZGRdY7L5/Ml2vlsbGwMY2PjZtwhBwCgb18mG4OdHXDyJBPeEBUF3YICzCeCo44OjBQtIwcAZrE+evQo1qxZo1JzPz09XaI/QIKqYxyyQVXnV0uF07f8kYbO+3bsCy9rL9gF2eFk/ElYdLFAVEYUCsoK4GXthT6GfaQsdctDqT284jh16hR69OiBTz/9FMePH8eCBQvg6OjIJl/PysqCgYGBSC7g9u3bAwBev37N1oOvmeC5ffv2eP36dZ3jZmVlYciQIQ1+rVixAv/99x/c3NxQUFCAjRs3AgA2btyInJwc/P3334iJiUFQUBDOnj2LBw8ewMPDA69evRJpW1xcjO3bt+Px48c4evQowsLCcOvWLfj5+SElJUWkbWVlJVxcXPD8+XPs378fN27cwNWrV3H48GEkJiZi69atKC0tFbkmIyMD//zzD+7evYsLFy7g1KlTePjwIXbt2oX8/HyRtnl5eXB3d0dsbCxOnz6Nc+fO4f79+/D09ERmZqZI25KSEmzfvh2JiYk4cuQILl++jJs3b2Lfvn148eIF/vjjD1RVVWHjxo2oqqrCH3/8gRcvXmDfvn24efMmLl++jCNHjiAxMRHbs7NRGhWFmwMGAF264ObAgbjp5QV/AI8ePcK5c+dw+vRpxMbGwt3dHXl5eSKy5OfnY9euXXj48CFOnTqFCxcu4O7du/jnn3+QkZEh0ra0tBRbt25FYmIiDh8+jKtXr+LGjRvYv38/nj9/DhcXF1RWVopck5KSAj8/P9y6dQthYWE4evQoHj9+jO3bt7ObhwRtX716BQ8PDzx48ABnz55FUFAQYmJi8PfffyMnJ0ekbUFBAdzc3PDff//h5MmTuHjxIu7evQtvb2+8fPlSpG1ZWRm2bNmCp0+fIiAgAFevXkV4eDgOHDiA5ORkbN68GRUVFSLXpKamwtfXF3fu3EFoaCiOHTuG+Ph47NixA4WFhSJtX79+jb179yIqKgpnzpxBcHAwoqKisGfPHmRnZ7NtASa5+M6dO/Hff//hxIkTCAkJwb///gsfH59acvP5fPz555949uwZDh48iOvXr+P69es4ePAgnj17hj///BN8Pl/kmpcvX8LHxwf//vsvQkJCcOLECfz333/YuXMn3rx5I9I2Ozsbe/bsQVRUFIKDg3HmzBlERUVh7969eP36tUjbwsJC7NixA/Hx8Th27BhCQ0Nx584dLF68WKLfecGawsHBwaFIbCxtEL8sHgutFqJLuy5YNGQR4pfFK3VKssagtFkaAMDZ2Rl+fn4isbUdO3ZkY24BJiND9+7dYWRkhAcPHmDSpEmIiooS2ckXGhqK8ePHsyWPp02bhtDQUJGYGRMTEwwePBhnzpwRkUGwO9DIyAjnz59vUGbOwytbHjx4gCFDhuD+/fsiYSkcikNZnklZWRm7ocvd3R3a2tr1tpfUwzthwgRkZWVxmVyaSEM7sJVlfqkKnL7lj6rrvLFrb01UOktDfRQWFrIl6gCmqtu4cePYam/Gxsa4du1arWsAoHPnzmzqsfz8/Fptam6AE0ZTU1MlJyIHR2uhoqICXl5eAICdO3c2uOhK+s+rpqamVOTj4ODgUEUau/Y2FZUzeE1NTZGTkyNyrEuXLmyIgoWFBby8vFBcXMzuCMzIyICGhgasrKzA5/Ohqakp8hqyuLgYBQUFGDZsmPxuhIODQ65oamqyoQyckcrBwcEhH+S19qpcDO+kSZNw+/ZtkWM5OTn4+OOPAQAzZsyApqYm/v33X/Z8TEwMxo8fj/bt28PQ0BATJ04UKWYRGxsLLS2tOtOgcXBwKD9aWlpYt24d1q1bJ9N67hwcHBwc1chr7VVqg5fP56OiokLk2Jo1a5Ceno4rV64AYDbKXL16FT///DMAJmzBwcEBp06dAsCkMTt//jw2bNjA9rF+/XqEhYWhuLgYAODv74/vv/8epqam8rgtDg4ODg4ODg4OKaK0IQ0nTpxAUFAQ0tPTsXPnTsyePRtGRkbo1q0bLl26hP/7v/9DeHg4u1O+b9++7LVbt27FDz/8AEdHR+Tm5sLb21sk/nbo0KFwd3fHggUL0KlTJxgaGuL3339XxG1ycHDICSJiM7F06tRJJJMLBwcHB4dskNfaq7QG75QpUzBlyhSx5ywsLBAUFFTntZqammwWh7r4+uuv8fXXXzdHRA4ODiWiuLgYRkZM9mZlKy3MwcHBoazIa+1V6rRkLQEtLS3w+Xyoqalx6cZaAHw+H1lZWTAyMuI2HrUQlOWZEBFevnwJAOjWrZvUvAzp6emoqqqCpqYmysvLpdJna6KhNVZZ5peqwOlb/qi6zpu79kq6xnIGbzNRV1dHVVWVosXg4OBo4aipqaGyslLRYigd3BrLwcEhCQ2tsUob0tBS0NHRQWlpKdTV1VmXPAcHB4eArKwsVFZWQkdHR9GiKCXcGsvBwVEfkq6xnIeXg4ODg4ODg4NDpVHqtGQcHBwcHBwcHBwcDcEZvBwcHBwcHBwcHCoNZ/BycHBwcHBwcHCoNNymNQ6VgM/n4/fffwcRQUdHB8nJyfi///s/9OzZU9GitWoqKyuxfv16ZGdnIzMzE2+//TZcXFygrq6uaNE4WiClpaXw8PBAQECASHl3YeLj4+Hp6Ynu3bvDwsIC48aNA8CkNlq/fj2ysrJQXFyMmTNn1ioHf/nyZezdu5dN77R161ZoaLTuP4N16fz27dsYNWpUrfZWVla4f/8+AE7nTaG+OX7gwAHcvXsXnTt3RnJyMubOnYsxY8aw5zl9NxPi4FABfvnlF9qyZQv7+datW/Tuu+8qUCIOIqL169fTkiVLiIioqqqKxowZQ6tXr1awVBwtET6fTz4+PtS/f3/q2bOn2DaHDx+mMWPGUFZWVq1zTk5ONGvWLCIiKioqou7du9Pdu3fZ81FRUdSlSxd69eoVEREtX76cVqxYIf0bUSLq07mDgwOtWrWKvLy8yNfXl3x9fWnSpEn0yy+/sG04nTeO+vQdFhZGEydOZD+/efOGevToQSkpKewxTt/NgzN4OVSCd999l44cOcJ+LikpIQD0+vVrBUrVusnNzaV27drR9evX2WMnTpwgDQ0NSktLU6BkHC2ZNWvWiDV4z58/T6amppSenl7rXGpqKmlpaVFoaCh7bNGiRTRu3Dj288SJE2nOnDns59u3b5O6ujolJSVJVX5lpKbOKysr6fTp07XajRo1iiIjI4mI03lzEDfHHR0dWeeAgOHDh9Px48eJiNO3NOBieDlUgk6dOmH79u1slZWbN29i4MCB6Nixo4Ila73cu3cPhYWFIs9g5MiRqKiowMWLFxUoGUdLRlwuzTdv3mDevHnYsmULunbtWut8UFAQysvLYWVlxR4bMmQIrly5gqysLBQUFCAkJETkvKWlJYgIx48fl82NKBE1da6mpoavvvpK5FhWVhYyMjJgaWkJgNN5cxA3xzt16oSAgAAkJSUBAHJzc/Hs2TMMHz4cAKdvacAZvBwqwfr163H//n18+umnuHfvHjZu3IhTp04pWqxWTW5uLgDmD6WAzp07AwBSU1MVIhOHcuLh4YGSkhLk5eVh6tSpePfdd7Fr1y72fEREBNTU1NChQwf2mJGREYgI0dHRiIyMREVFhcg/Xzo6OtDT00NkZKRc70VZCQ4OhrW1NfuZ07l0WbhwIXR0dPDBBx/g9u3bsLOzg7e3N0xNTQFw+pYGnMHLoRKMHTsWBw8exO3btzFy5Ejs2LEDffr0UbRYrZq33noLAHD9+nX2WHFxMQCILNocHA1x6tQp9OjRA59++imOHz+OBQsWwNHREQEBAQCYf6oMDAzA4/HYa9q3bw8AeP36NftPl6GhoUi/7du3x+vXr+V0F8pNYGAgvv76a/Yzp3Pp0qVLF1y6dAlEhFGjRmHs2LEiG9I4fTcfzuDlUBlevnyJxYsXo23bthg/fjwePnyoaJFaNVZWVhg1ahR2796NZ8+eoaKiAt7e3gDA/TPC0Sji4+MxduxYdt44OjrCxMQEW7duBQDweDzo6uqKXFNZWQkA0NTUZI0EcW00NTVlLb7SU1xcjKioKIwePZo9xulc+rx69Qrjx4/HgAEDsHLlShw8eJA9x+m7+XAGL4dK4O/vj5s3b8LNzY31KH711Vfg8/kKlqx1ExgYiE8++QRfffUVHBwckJCQgI4dO7KppDg4JKGwsBDt2rVjP/N4PIwbNw4JCQkAAGNjY+Tn59e6BmDCaIyNjQFAbBtBmA1H3YSEhOCTTz4RSSfI6Vy6xMXFYcmSJdi9ezdu3LiBIUOGYP78+YiPjwfA6VsacAYvh0rg7OyMmTNnAgDeffddBAUFITk5GZcvX1awZK2bTp064cCBA4iNjYWHhwfu3LkDR0dHaGlpKVo0DiXC1NQUOTk5Ise6dOnCvr61sLBAYWEhGzIDABkZGdDQ0ICVlRXMzc2hqakpEk9eXFyMgoICDBs2TD43ocQEBgbim2++ETnG6Vy6bNu2DR9//DF0dXVhYGCAc+fOwcjICP7+/gA4fUsDzuDlUAny8/Ohra3Nfh4xYgQsLS1RVVWlQKk4hPHw8ICGhgacnJwULQqHkjFp0iTcvn1b5FhOTg4+/vhjAMCMGTOgqamJf//9lz0fExOD8ePHo3379jA0NMTEiRNFEv3HxsZCS0urVuJ+DlEqKytx9epVfPrppyLHOZ1Ll5p/wwwNDTFjxgz2bxin7+bDGbwcKsHs2bNx+vRp9nNhYSHU1NTwwQcfKE4oDpZz587h2LFjuHjxIhdPxlEvfD4fFRUVIsfWrFmD9PR0XLlyBQBQVFSEq1ev4ueffwbAvNJ1cHBgM7O8efMG58+fx4YNG9g+1q9fj7CwMNZD5u/vj++//57dBd+aEadzAbdu3cKQIUNqpdLidN50xOl79uzZOHfunEgYXmJiIvvmktN38+ERESlaCA6O5lJaWopVq1aBz+fD3NwcWVlZmD9/Pvr166do0VotRUVFCAoKwvPnz9G+fXvY29tzoQwc9XLixAk4Ozvjv//+w/bt2zF79mwYGRkBAKKjo/F///d/GDp0KFJSUvDdd9+J/EPL5/Pxww8/gMfjITc3FzY2NqwHWMDp06dx5MgRdOrUCfr6+vj999+hpta6/T716RwAVq9eDUtLS3z77be1ruV03njq07e7uzuuXbuG9957D0VFRRg1ahQ+++wz9lpO382DM3g5ODg4ODg4ODhUGs7s5+Dg4ODg4ODgUGk4g5eDg4ODg4ODg0Ol4QxeDg4ODg4ODg4OlYYzeDk4ODg4ODg4OFQazuDl4ODg4ODg4OBQaTiDl4ODg4ODg4ODQ6XhDF4ODg4ODg4ODg6VhjN4OTg4ODg4ODg4VBrO4G2l3Lp1C7NnzwaPx0OPHj0wceJEDBgwANbW1oiMjGx2/zExMVi0aBEGDRrU5D4iIiLw3Xff4fPPP2+2PPXB5/Nx8OBBDB8+HH5+fjIdqyYREREwNDREamqqXMbLy8uDn58fjIyM0LZtW9jY2LBf06dPR7t27URKNDeXV69eYdOmTejRoweSk5Ol1i8HBwcHB0dj4AzeVsqoUaOwfv16AMAvv/yCc+fO4d9//0VmZiY+/PBDPHr0qFn99+jRA0VFRXjz5k2T++jcuTMSExNRWlraLFkaoqKiAsbGxoiIiJDpOAAQGxsr8tnY2Biff/45DAwMZD42ABgYGMDGxgZjx45Fhw4d4Ofnx34dPXoU+/bta/YYVVVViIuLYz9ra2sjJSWl2f1ycHBwcLROfvrpJ3To0AGjRo3C8+fPm9QHZ/C2Ytq0aSPyuV27dvjll19QWFgIV1fXZvVtYGCA3r17N6uPXr16oW/fvs3qQxJ0dXUxZswYmY8DAD/++KPI5+7du+PQoUNo166dXMYXoKurK/b4F198AX19/Wb1ffToUdy9excA80/L4MGDm9UfBwcHB0fr5fr16xg9ejRevnyJHj164IcffmhSP5zByyFCnz59AEAqHjk1teZPL2n0IQnq6uoyH2PDhg24ePGizMdpDtra2hg7dmyTr4+NjcXixYtFjsnrGXJwcHBwqB49evSAtbU1dHV1sXbtWvz3339N6of7S8QhQlJSEgDgnXfeYY8dP34cP/zwAz777DMMHz4ct2/fZs+5urrCzs4OS5cuxeDBg3H16lWx/VZWVmLSpEkYMGAA9u7di4KCArHtnj17htmzZ2PFihWYMmVKrRCAkpISODs7w8HBAZaWlpg/f75IX6GhobCxsYGDgwOGDx+O69evs+eys7Ph5OSEBQsWYNCgQfjhhx/A5/Pr1EVd7VNTU/F///d/6Nq1K+Li4vDWW29h4sSJAIDDhw9j7ty5WLVqFSwsLHD06FEAwNWrV3H58mUAwOLFi+Hq6orc3Fxs3boVvXr1EolvffjwIRYuXIiVK1di1KhR2Lx5M4gIAHDlyhVMmTIFdnZ2uHjxIvr16wcjIyOcP3++zvuQlOTkZPj7+7Ofq6qqsG7dOjg6OsLGxgbDhw/Hw4cPAQD379+Hra0tJkyYgCNHjsDQ0BC///47vL29kZ+fD39/fyxevBh5eXlsf0VFRZg3bx7atm2LyZMno6Kiok5Z3rx5A0dHR7i5ueH777+Xyv1xcHBwcCgfZmZm7M9FRUUYOnRo0zoijlZLUlISAaB//vmHiIjy8/Np+PDhZGBgQCkpKUREdPXqVXJ1dWWvWbBgAXXs2JHy8vLo6tWrBIDKysqIiGjWrFn03nvvsW1//fVX6tmzJxERPXr0iKZOnUoFBQV1ypOfn09mZmZ0584dIiLKzc0lIyMjGjNmDNtm2bJllJqaSkREOTk51LlzZ1qwYAEREV27do0GDBjAyvPdd9+RgYEBVVZWsp8F4yclJZGGhgZt2LCB7RsA+fr6sp/rav/8+XNasmQJAaAtW7aQl5cX/d///R89e/aM1NTU6PHjx0RE5OTkRJ07d2b78/X1JeFfuczMTHJxcSEAlJSUREREL1++pO7du1NGRgb7uV27drRp0yYiInr69CmZmZmRpaUl+fn5UXp6On366afUv3//OvUqjnnz5lGbNm1o3rx5NG/ePJo+fTrp6emJ3L+fnx8ZGxuzn0eOHEnTpk0jIqL//vuPhg4dSr179yZvb2/6+eef6ejRo2L1eOXKFQJAK1asoEePHlFwcDABoMDAwDrl++6772jlypVERFRVVUXvvvsuWVpakrW1daPuk4ODg4NDdVi7di1FR0c36VqNZpndHCrBuXPnkJKSgsePH2PkyJE4fvw4TE1NAQC///47LC0tsXnzZgBM7KelpSVevHiBbt26wdHREVpaWgCArl274s6dO7X6f/ToEX755Rf4+vrWG6u6Y8cOdOzYEcOHDwfAxAGPHTsWGRkZAIDnz58jODgYJiYm7DUffPABysrKAAC//vorZs6cycqzfv16jBo1CmpqaggPD0dUVBT+/vtv9trx48cjPz9frCz1te/Rowf7H+bChQvZmNfs7Gx89913bOxy165d8fr16zrv18jICO+9957IsW3btsHc3BxdunQBwGxqs7W1xaZNm+Do6IjevXuje/fuMDMzw7x58wAAX331FVauXFnnOHUh2LQm4MSJEyKbDPv164clS5awn4Xvx9zcHObm5oiNjYWtra1E4y1fvhy9e/fGO++8g86dOyM+Ph7W1tZi254+fRpbtmwBAPB4PIwePRpJSUkIDAxs7G1ycHBwcKgAqamp0NfXx7vvvtuk6zmDlwMTJ06EnZ2d2HOxsbH4448/MGLECLHnd+zYgcOHD+Phw4dISEhAVVWVyPmKigp8/vnnsLW1bXBj1rlz50ReXQCAjo4O+3NcXBx0dHSwdu1asddHRERg+vTp7Oe+ffuym95iY2NhbGwscm1d/UjSXhCXKrzBq2PHjvD19cX58+cRHh6O58+fs6EIdVEzdvjKlStsHLWAIUOGwM3NDY8ePcLQoUOhpqYmEhfbtm3bekMzJOXLL7/EkSNH2M8jR47EkCFD4OnpiZSUFGRmZkJTU5M9r6am1qgNbsIy6+rq1pt9o1OnTsjKymI/t2vXDi9fvpR4LA4ODg4O1aGiogI+Pj5Yt25dk/vgYng56qWsrAz3798XOVZVVYWcnBzk5+fj448/hpaWFjZu3Cg2rkZDQwM//PADNmzYgBs3btQ7VmFhIXJzc+uVJTk5GTk5OSLHBV5HbW1tJCQkiJwjIhQWFqKsrAwxMTG1DMO6PLCNbQ8w+XynTp2KxMREbNq0CZ9++mmdbeuCiJCZmSlyrGvXrgAgYmzKAi0tLcydO5f9nJKSgjFjxmDAgAHYsGGDVDNm8Hi8Wv8cCbNjxw6cPn0apaWlqKqqwvXr12FjYyO18Tk4ODg4lIcdO3Zg2bJlUFdXR3JyMhITExvdB2fwctTLgAEDsG3bNpFX3UeOHEFhYSG2bt2KwsJCTJ48ud4+vv/+e3z++eeYPXt2LWNVmLfffhv37t0T2egEgDWM+vfvj7KyMvzxxx8i5729vVlZDx48KCLr0aNHUVxcjAEDBiA9PR179+5lz5WXl2P//v113ndj2gOAv78/rl27BkdHR7HneTxendcKGDZsGO7du4fCwkL2WHZ2NoyMjDBw4MAGr5cGJ0+eRF5eHpycnGBqaor3339fLuMK89Zbb6FHjx7YvHkzduzYgTVr1mDFihVyl4OjZSHrgjk3btzA7NmzZV7spqUg78I3zUEWssqruFFL5uzZs+jduzd4PB5mzZqFtLQ0xMXFYcKECeDxeOjVq5fIpuHLly/DysoKQ4YMqRXCmJCQgA0bNkhdxj/++APr169Hjx490K5dO1haWqJnz56N7oczeFsxJSUlAIDi4uI626xduxbJyckYMWIEXF1d8X//93+4du0aevTogdLSUvz333+4desWwsLCEBISgvz8fNy6dQs5OTmorKxEZWUlAMDPzw98Ph/fffddna/5V65ciYKCAtja2iI3NxepqamIjIxEcnIy4uLi8Pbbb+Obb77BX3/9hTlz5mDv3r2YPHkyhgwZwsr66tUrjB8/HgcOHICzszNu374NIyMjfPLJJxgyZAhWrlwJBwcH7NmzB19++SU+++wzAGDlFHxvqL3ACBfEDwNAaWkpsrOzERQUhH///RfHjh0DwPyRfvbsGdq2bQuAiWkODg4WO+6PP/4IIoK7uzvb7/Hjx+Hs7MyGP/D5fLHeUUEfy5Ytg6WlJRv7LI6ysjKxYRApKSk4duwYDAwMUFpailu3biEmJganTp3C3bt38fr1a1y6dAmVlZWoqqoSuX8Bbdu2xePHjxEVFYUXL16wctWUWXBcHIsXL0avXr3w9ttvo3v37gCA+Pj4OttztA5kXTCnf//+SE1NlVqxm5pZZhSNogvfNIemylrfM5BHcSNZzQFp9fvFF1/AxcUFAGBtbQ0TExMMGDAA+/fvh66uLt59911MmDCBbT9u3DiMGjUKe/bsqRXqeOzYMUybNk0qcgmzbt06lJWVobCwEIWFhcjLy2P36jQK6e2d41Ambt68SbNmzSIAZGFhQYcPH6aqqiqxbffu3Us9evQgfX19srGxocLCQiIievbsGQ0YMIA6d+5Mv//+O50+fZr09PRo586ddPnyZXr33XdJXV2d9u7dS0VFRTR+/HgCQDNnzqSoqCixY/n6+pKpqSnp6enRokWLaPbs2fTNN9/Q1atXiYjJ3PDtt99S27ZtqVevXuTv7y9y/Z49e8jExIQMDQ3JwcGBiouL2XMpKSk0adIk0tXVJXNzc7pw4QIREZWWltKGDRsIAH388ccUGRlZb/uoqCj66KOPCAAtWbKEXr58SURM1ohRo0aRgYEBLV++nG7dukXt27enH3/8kYiI8vLyaNiwYdS9e3cKDw+nFy9e0IwZMwgAOTo60uvXr4mIyTbx3nvv0dSpU2nBggW0Z88e9h6OHTtGbdu2pe7du9P58+cpNjaWPvvsMwJAGzdupMLCQpo2bRp169aN/vrrr1r6zc3Npd27d5OBgQEBoK+//prN1PDNN9+QgYEBubm5ERHR3bt3qWfPnmRiYkIeHh7k7u5OhoaGdOTIETp37hyZmJiQpqYmbd++nSoqKtgxnJ2dSU9Pj5ycnOjJkyc0ZcoUAkDff/89vXjxgjw8PEhDQ4MGDx5Md+/eFTsP/vjjD+rUqRO1bduW1NTUCAABoJ07d4ptz9F6qJldhojozJkzBIAWLVrU7P7nzp0rkhmmqeTl5dH06dOb3Y+0aGnyyANJ7llaz7up47eEfouKiqht27Y0d+5ckeOTJ0+mDh06EJ/PFzn+2Wefie1nzpw5UpNJFnAGLweHChIREVHrnwFlobKykmxtbamoqIg9Vl5eTgkJCXUutBytB3EGb3x8PAGgiRMnNrv/efPmNdsAKikpoYkTJ8rMkGosLU0eeSDpPUvjeTdn/JbS7/Tp00lfX59N60lE9OeffxIACgkJYY89fPiQVq1aVev6hIQE+u2336Qqk7ThQho4OFSMsrIyBAYGYsaMGYoWpUl4e3tDTU1NpPS1pqYmzMzMYG5urkDJOFoqNQvm1Feg5tKlS5g1axacnJwwePBg7Nq1q85+37x5g+HDh+P999+Hj4+P2GIpHh4e+Omnn2Bvbw9tbW2cOXMG+/btw5MnT5CQkIDFixezMZD1jc3n87Fu3Tps27YNTk5O8PX1FRnn/v37mD9/PiZMmID79+9j8ODB0NfXh4+PD9umrv7FyVNX4ZuysjI4OTnhxx9/xKRJkzB16lQ2Q4okMogjPDwcM2fOxMKFC3Hs2DGYmJige/fuImkR6xtXnKwNyVLXM6iLe/fu4d1334WBgQH27dvHHm+o2FFjdF4TcQV8BClAG9tvQ3I2xPTp05Gfn4/Q0FD22I0bN9CmTRscP36cPXby5ElMmTKl1vU1wxkqKirwf//3f1i+fDm+/vprzJgxA/n5+SLPLTY2Fh988AHat2+PdevWgc/nY+XKldDT04OlpaVUKr6KoGiLm4ODQ7qcPn2aDTtRRn777TfS19envXv3UkpKChUWFlJMTAwtWLCAnjx5omjxOBSMJAVz6ipQU1xcTG3atKGLFy8SEZGHhwepqamJFMQR9viFh4eTjY0NlZeXi5UlJSWFhg4dyn7euXMnBQcH1+qHiBoc+5dffqFvvvmGbT9hwgQaOHAgjRs3jgoLC+nFixc0evRo6tWrF7m7u1N6ejrZ2NiQnp4eVVRUNNh/TXnEFb4hIpoxYwa5u7uzn6dMmUIDBgwgPp/foAx1ERsbSz179qShQ4eSq6sr3b9/n8aMGUNqampsEYH6xhUnqySySOK9nTdvHvXq1Yv27t1LaWlpNHfuXOrYsSMb4ldfsaPG6rwmdRXwaUq/9ckpCcXFxdSuXTuysbEhIqJXr17RrFmzaOrUqWRkZMTq9IsvvhAb/lgznMHe3p71+BYWFlKbNm1o+fLllJCQQEOGDKG+ffuSn58fZWZmkpOTEwGgtWvXUkREBCUlJZGpqSk5ODhILL8kcHl4OThUjK+++krRIjQLJycntG3bFm5ublixYgXat2+Pzz77DL///jt69eqlaPE4Wgh1Fcypr0CNpqYmpk+fzm507dq1K6qqqpCbm4v27duL9B8eHg4fHx/8888/0NAQ/6cyKysLUVFRCAgIwKxZs2BjY8N6m2vS0NinT59mS5QDwNixY+Hr64uwsDAAzGbQXr16gcfjYenSpQCAqVOnws/PD5mZmTAyMpL43gDxhW9iY2Nx5MgR7Nixgz22bt06WFlZ4eDBg5g3b169MnTr1k3svQ8cOBA9e/ZE165d2Sw2np6eMDc3h5eXF+zt7Rsct6as3bt3b5Is4jA1NcWiRYsAADNnzsT+/fvx6tUrlJSU1FvsqDHzSRx1FfCpqKhoVL8NFWWSBF1dXXz55ZcIDAwEn8/HqVOn8M0334CIcPz4cVy/fh29evWCmZlZrYxDT548EUlbmZSUBC8vL7x48QIAM3f9/f1hamqKvn374p133kFqaipbPGnu3LlwcXHBZ599xj7n0aNH10oz2lw4g5eDg6NFoampiVWrVmHVqlWKFoWjBVNXwZyGCtT4+vri9u3bCA4OZist1swgkp2djYkTJ8Ld3b1OYxcABg8ejC+//BKzZ8+Gm5sbXFxc8NFHH4ltq6GhUe/YkhRbEVd0BmBSJjbUvzjEFb4BRAvqWFhYQENDA3fv3sW8efPqlaGiokIk44FwaBKPx4Ouri57rl+/fjA1NcXTp08lGremrA3pozHULIoDMFl3GppLTdG5uLFrFvBpbL8NySkp06dPR0BAAMLCwnDu3DkcPHgQRARdXV0cP34cb731ltg0pDXDGe7duwciQseOHdljU6dOFbk/YYTnhQBtbW2pFFQShovh5eDg4OBQGRoqUPP999/j5MmT2LBhQ50plDp27Ag7OzssW7as3gT3PB4PJ0+eREBAADIyMjB27Fh4eXnV2b6+sTdt2oTw8HBW7qtXrza62Iok91Yf9L+UkcLFb9TU1NC5c2eJCt8cOHAA7du3Z7/69+9fb3sjIyNoa2s3e1xpIvBeCtIu1jeXgObrvC4a068kckrC559/jvbt22Pv3r1o06YN2rRpg7Zt22LChAk4efIkrl69ijFjxtS6Li4uTuRZa2trA0AtD61wjnxFwBm8HBwcHBwqQ30Fai5dugQ3NzeRvNZ18eeff6Jv376YMWNGna+G4+LikJCQgJkzZyIuLg4ff/wx3NzcANQuNNPQ2N27d8fAgQOxfft2uLq6YsKECfjrr78kvu+G+pe08A3AGNsCiAg5OTkYN25cg9dPnDgR4eHh7JfwZiegdu7tjIwMvP/++80ety4kuef6aKjYkTR0Lo7G9tuQnJKio6MDa2trBAYG4uuvv2aPT5s2DRkZGejcuXMteZ4+fYo+ffqIHBswYAAAiBRuIiL4+/s3Sh5pwxm8HBwcHBxKQ0MFc+orUCN43b5v3z7ExMSwmRBiY2MRHR0NAGzBHC0tLRw+fBiPHz/GypUrxY715s0bbNmyBQDQpk0bTJo0Cf369QPAvF5//vw5cnNzERIS0uDYa9asQdu2bTFgwAAYGxtDX1+flUlAfUVnGuq/pjyC64S/jxw5Ep9++ilcXV3Z/oKDgzF48GB88cUXDcpgZGSE0aNHs181y83HxcWx3tzw8HBUVlZiwYIFEo1bU9aGZBH3DMQhKKIj7nhDxY6aovOaiCvg09h+65OzrKwMI0aMwNSpU+ss+iTM9OnT0aZNG1bvADBp0iTo6OhIFM4AMJUyp06dCg8PD6xYsQIHDx7E1KlT8e6777K6FX6OAv0LPwciqrc4UZOQ6hY4Dg4ODg4OGSFpwZy6CtSUl5fTpEmTqH379jR79mz677//yNDQkL799lvi8/l0+vRptvBNQEAA5efnk6WlJQGg5cuXU2Jiosg4t2/fZgvWrFu3jmxsbCg9PZ2IiB48eEDdunWj4cOHU0ZGRoNjHzx4kDp06EDt27cndXV1ttjKihUriIjo0qVL1K1bN2rfvj0FBATQs2fP6Ntvv2UL12RlZdXbf0156ip8k5OTQ3PnzqURI0aQg4MDLVmyhHJyciSWoS7GjBlDgwcPJkdHR1q7di19/fXX9PDhQ/Z8feOKk1USWWrec02Cg4PJ1NSUDAwM6ODBg/T06VO2j++//55ev35db7Gjhp5pQ+PXVcCnKf3WJWdJSQmZmZlR165d6cGDB3U+HwGlpaVkb29f6/i8efOotLS01vG6ik3k5eXRrFmzqE2bNtSvXz86duwYETFzyMTEhP0de/nyJS1dupQA0KxZsyghIeH/27ljE0XiMIzD3yVGWoCgaAeWoBWYmUwRYqCBoaFgaCKIBZgZm00BpiIGJsI0oJk6FywsXLTL7d4NzD5PBW/4Y+bPl+92u7zZbOa1Wi3fbrcfbv6sX3n+ieQHAP6Z4XAY0+k06vV6RLx9BcuyLJIkiTRNC173db1eL9rt9h+3d/l/FotFDAaDaLVaRU8pjCcNAFCg/X4fx+PxPXYj3i4oNBqN99/A8Leu12u8Xq8fHbsRghcACpVlWaRpGvP5PC6XS9zv9zifzzEajSJJkqLnfYvH4/HtZ6b42O12i8PhEJPJpOgphfOkAQAKttlsYrlcxul0ikqlEt1uN2azWXQ6naKnfcnz+Yz1eh3j8Tiq1WqsVqvo9/tFz+IHErwAAJSaJw0AAJSa4AUAoNQELwAApSZ4AQAoNcELAECpCV4AAEpN8AIAUGqCFwCAUhO8AACUmuAFAKDUBC8AAKX2G9zekFJYbfuqAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize = (6.75, 3.5))\n", "plt.rc('font',family='Times New Roman')\n", "params = {'mathtext.default': 'regular' }\n", "plt.rcParams.update(params)\n", "\n", "fig.tight_layout()\n", "plt.subplots_adjust(wspace=0.30)\n", "\n", "axes[0].plot(y1, z1, 'ro', markersize=5, mfc='None')\n", "axes[0].axhline(y=np.percentile(z1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n", "axes[0].axvline(x=np.percentile(y1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n", "axes[0].set_xlabel('Peak deceleration, Earth g', fontsize=12)\n", "axes[0].set_ylabel('Peak stagnation-point heat rate, '+r'$W/cm^2$', fontsize=12)\n", "axes[0].tick_params(direction='in')\n", "axes[0].yaxis.set_ticks_position('both')\n", "axes[0].xaxis.set_ticks_position('both')\n", "axes[0].tick_params(axis='x',labelsize=12)\n", "axes[0].tick_params(axis='y',labelsize=12)\n", "\n", "axes[1].plot(z1, h1, 'go', markersize=5, mfc='None')\n", "axes[1].axhline(y=np.percentile(h1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n", "axes[1].axvline(x=np.percentile(z1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n", "axes[1].set_xlabel('Peak stagnation-point heat rate, '+r'$W/cm^2$', fontsize=12)\n", "axes[1].set_ylabel('Peak stagnation-point heat load, '+r'$kJ/cm^2$', fontsize=12)\n", "axes[1].tick_params(direction='in')\n", "axes[1].yaxis.set_ticks_position('both')\n", "axes[1].xaxis.set_ticks_position('both')\n", "axes[1].tick_params(axis='x',labelsize=12)\n", "axes[1].tick_params(axis='y',labelsize=12)\n", "\n", "\n", "\n", "for ax in axes:\n", " ax.xaxis.set_tick_params(direction='in', which='both')\n", " ax.yaxis.set_tick_params(direction='in', which='both')\n", " ax.xaxis.set_tick_params(width=1, length=8)\n", " ax.yaxis.set_tick_params(width=1, length=8)\n", " ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", " ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", "\n", " for axis in ['top', 'bottom', 'left', 'right']:\n", " ax.spines[axis].set_linewidth(2)\n", " \n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XD.png', dpi= 300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XD.pdf', dpi=300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XD.eps', dpi=300,bbox_inches='tight')\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 26, "id": "d1a7fb4a", "metadata": {}, "outputs": [ { "data": { "image/png": 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Gs2fPkJWVhYYNG+Lo0aMYO3Ysli1bpt93woQJCA4ORtu2bZGUlAQrKyvUqFEDYWFhGDBgANasWaPfd8qUKQgMDETPnj1x9epVVKhQAdu3b8e6detK0HFKjm7DJENnzpxBhw4dhC6jVPicIN5OPIO3PPnNQ2oTUCmOEa4oqUds2LABKpUKPj4+AIDExETUrl0bp06dgre3N+rVq4cGDRrgwIED+udMnjwZq1atQmFhIaytTc/SepGfu7s7Dh8+XGwNxR0BVfJY5JMlc1XSbZiUOl5LegS0Z8+eSE1NLVF/pSOgMnT37l1FvkFeJePZXbwFyuNlUh4jBQUF+otp5s2bRyshvUZQUBBCQkL0V7m/0LlzZ3Tq1AlNmzZFUlKSwWMvjhIWNfl8ma2trcnH9+aQ8lgUM8qVH0rItageW9wfki+U5sb1NAGVofbt2wtdgqi8VYvyMCblMaLRaPRXov766680AX2NwMBAZGdn6//98OFDfPzxxwgMDIS3tzeuXbuGIUOGoKCgQJ9jTEwMxowZY7EapTwWxYxy5YcScrVUj6Wr4GVo27ZtQpcgKleuUh7GpDxGbG1tMWvWLMyaNYuW4ixG3bp10axZM/1/jRo10m+vW7cuevfujXfeeQeHDh0C8PwCi4KCAvj6+lqsRimPRTGjXPmhhFwt1WPpCKgMTZs2TegSRMW7HeVhTMpjxM7ODr/++qvQZciCSqXC/v37MXXqVISFhSE5ORknTpyAs7OzxWqQ8lgUM8qVH0rI1VI9lo6AytDvv/8udAmicvIM5WGMxogyeXp6gjGmXwceAKpVq4Zt27Zh/vz52LRpE2rXrm3Rmmgs8oNy5Qflyh26Cp6IAt+3SeKb1K6ClzLGmH51DicnJ1hZlS576hFlQ/kRY0q6Cl4JytJjS9Mf6AioDPn5+QldgqgcC6E8jEl5jOTm5qJcuXIoV64cLcUpA1Iei2JGufJDCblaqsfSBFSGRo8eLXQJotKq+WihSxAdGiNELGgs8oNy5Qflyh2agMrQsWPHhC5BVOJvUR7GpDxGnJyckJ2djezsbDg5OQldDikjKY9FMaNc+aGEXC3VY+kqeBlq2LCh0CWIintlysOYlMeIlZWVRa/SJvyS8lgUM8qVH0rI1VI9lo6AylBWVpbQJYhKQQHlYYzGCBELGov8oFz5QblyhyagMvT06VOhSxCVvPynQpcgOlIeI4WFhfj+++/x/fffo7CwUOhySBlJeSyKGeXKDyXkaqkeSxNQGWrSpInQJYiKRxXKw5iUx4harcZvv/2G3377DWq1WuhySBlJeSyKGeXKDyXkaqkeSxNQGTp8+LDQJYjKjQTKw5iUx4iNjQ0mT56MyZMnw8aGTmOXOimPRTGjXPmhhFwt1WOpe8vQ+PHjhS5BVNp4UR7GpDxG7O3tsXTpUqHLIByR8lgUM8qVH0rI1VI9lo6AyhD9cjYUemGp0CWIDo0RIhY0FvlBufKDcuUOLcVJRIGW4iSWQj2ibCg/YoyW4iQv0FKcCqeEpcJKg5biNCXlMZKTkwMrKytYWVkhJydH6HJIGUl5LIoZ5coPJeRqqR5L54DK0Jdffil0CaLSthXlYYzGCBELGov8eDlXvo9QKgmNV+7QEVAZ2rlzp9AliEpMLOVhTMpjxMnJCampqUhNTaWlOGVAymNRzChXfighV0v1WDoCKkNt2rQRugRRebMG5WFMymPEysoKlStXFroMwhEpj0Uxo1z5oYRcLdVj6QioDNGFAYaeZlIexmiMELGgscgPypUflCt36AioDMnsxgZlR3mYkPIYKSwsxIIFCwAA06dPh52dncAVkbKQ8lgUM8qVH0rI1VI9liagMlSzZk2hSxCVCq6UhzEpjxG1Wo3Zs2cDAKZMmUITUImT8lgUM8qVH0rI1VI9lj6Cl6ELFy4IXYKoJCZRHsakPEZsbGwwbtw4jBs3jpbilAEpj0Uxo1z5oYRcLdVjqXvL0KBBg4QuQVSavUN5GJPyGLG3t0dgYKDQZRCOSHksihnlyg8l5GqpHktHQGUoICBA6BJE5Xw45WGMxggRCxqL/KBc+UG5coeW4iSiQEtxEkuhHlE2lJ/0SP1G9LQUp3TQUpwKp4SlwkqDluI0JeUxkpOTA2dnZzg7O9NSnDIg5bEoZpQrP5SQq6V6LJ0DKkOTJ08WugRR6dCW8jAm9TGSm5srdAmEI1Ifi2JFufJDKblaosfSEVAZWrdundAliMrFCMrDmJTHiKOjI+7cuYM7d+7A0dFR6HJIGUl5LIoZ5coPJeRqqR5LR0BlqEePHkKXICr161IexqQ8RqytreHp6Sl0GYQjUh6LYka58kMJuVqqx9IRUBmKi4sTugRReZRGeRijMULEgsYiPyhXflCu3KEjoDLk4uIidAmi4mBPeRiT8hhRq9VYtWoVAGDixImwtbUVuCJSFlIei2JGufJDCblaqsfSBFSGXF1dhS5BVBzsKQ9jUh4jhYWF+OabbwAA48ePpwmoxEl5LIoZ5coPJeRqqR5LH8HL0PXr14UuQVRS0igPY1IeIyqVCsOGDcOwYcOgUqmELoeUkZTHophRrvxQQq6W6rF0BFSGPvzwQ6FLEJUGdSkPY1IeIw4ODti8ebPQZRCOSHksihnlyg8l5GqpHktHQGVo/fr1QpcgKuGRlIcxGiNELGgs8oNy5Qflyh1aipOIAi3FSSyFekTZUH7SQ0txEkuhpTgVTglLhZUGLcVpSspjJCcnB5UrV0blypVpKU4ZkPJYFDPKlR9KyNVSPZbOAZWh7777TugSRKVLB8rDmNTHyOPHj4UugXBE6mNRrChXfiglV0v0WDoCKkOLFy8WugRRCTlPeRiT8hhxdHTEtWvXcO3aNVqKUwakPBbFjHLlhxJytVSPpSOgMjRw4EChSxCVZo0pD2NSHiPW1tZo3Lix0GUQjkh5LIoZ5coPJeRqqR5LR0Bl6MKFC0KXICqJSZSHMRojRCxoLPKDcuUH5codOgIqQzVr1hS6BFGp4Ep5GJPyGFGr1QgKCgIAjB49mlZCkjgpj0Uxo1z5oYRcLdVjaQJKCJGUwsJCfP755wCAYcOG0QSUEEI4ZKkeSxNQGUpKShK6BFF5+ozyMCblMaJSqdCnTx/910TapDwWxYxy5YcScrVUj6UJqAy1bdtW6BJExbMm5WFMymPEwcEBe/fuFboMwhEpj0Uxo1z5oYRcLdVjRXER0rNnzzB06FC4urqiTp062Lhxo8Hjd+/exeDBg/HNN9/Ax8cHKSkpAlUqDTt27BC6BFGJuk55GKMxQsSCxiI/KFd+UK7cEcUEdM6cOfDx8cGxY8dQq1YtfPbZZ4iLiwMA5ObmomvXrhg7diyWLFmCfv36oXfv3tBqtQJXLV5Tp04VugRR8X6f8jBGY4SIBY1FflCu/KBcuSP4BDQrKwu+vr74+OOP0bp1a/z111/Q6XS4fv06AGDVqlXIz89Hjx49AAB9+vRBXFwctmzZImTZojZv3jyhSxCVk2coD2NSHiO5ubnw9PSEp6cncnNzhS6HlJGUx6KYUa78UEKuluqxVowxxturmyErKws1atTArVu3UKlSJbz33nuoUqUK9u/fr9+nXbt2eOONN3Dw4EGT59eoUQMPHjxA9erVcf/+fUuWTspgyVxRDcNS++YHK6FLUIycnByUK1cOAJCdnQ1nZ+dSPZ96RNlQftJTOM1e6BLKxG5hgdAlKEpZemxp+oPgR0CNbdmyBX///TcqVaoErVaLiIgIVKxY0WAfd3d3XLlyRaAKxc/Pz0/oEkTlWAjlYUzKY8TBwQHh4eEIDw+Hg4OD0OWQMpLyWBQzypUfSsjVUj1WNFfB37lzB6tWrcLSpUsxZMgQfPDBB3j27Bm0Wi3c3NwM9nVxccHjx49f+3pqtRqRkZHFfl8PDw94eHiUqXaxGTNmjNAliErrFpSHMSmPEZVKhVatWplsT05ORnJycrHPV6vVfJRFzCTlsShmlCs/lJDrq3os10RzBLRq1aoYOnQo+vbti82bN2Pu3Lmwsnr+saajo6PBvlqtttgbo6ampsLLy6vY/6ZMmYLY2FgsX74cmZmZ+r9u/Pz8kJGRgVWrViEmJgb79+/HoUOHEBkZibVr1yItLc1g39zcXCxatAg3b95EcHAwTpw4gfPnzyMoKAhJSUkG+2q1Wvj7++Pu3bvYtGkTzp49i5CQEGzbtg0JCQlYsGAB8vPzDZ6TkpKCwMBAXLp0CUeOHMGePXtw7do1rFixAs+ePTPYd/fu3Vi5ciWuXr2KvXv34p9//kFERAT++OMPPHr0yGDfvLw8LFq0CAkJCdi+fTtOnjyJc+fOYePGjbh37x5+/fVX6HQ6+Pn5QafT4ddff8W9e/ewceNGnDt3DidPnsT27duRkJCARYsWIS8vz+D1Hz16hD/++AMRERH4559/sHfvXly9ehUrV67E06dP9fseC/FDXv4znAlbgeRH1xATuwdxCUdw78ElXLgciMysFP2RzGMhflCr83Hy7AKkpSfgytVt+O9OCG7fPYvLUZuQ8fQujof6Q6fT4liIH278dwTHQvzw5FkSwq8E4c6984i/dQJR14KR+vgmQs4tQmFhrsHrZ+ek4fyltbj/MBKxNw/h2o39eJgSg7MXVyEnN8Ng3/z8TCxfvhyxsbHYvXs3/v33X1y6dAnr1q3Dw4cPDfIoKCjA/PnzcevWLWzduhUhISE4c+YM/v77byQmJuL333+HRqMxeM79+/fx119/ISwsDMeOHcOOHTtw48YNLFmyBNnZ2Qb7Pn78GGvWrEFUVBQOHjyIAwcOICoqCgEBAUhPT9fvO3HiRGRlZWHp0qWIjY3Frl27cPToUVy8eBHr1683qVutVmPevHm4ffs2Nm/ejNDQUISGhmLz5s24ffs25s2bB7VabfCchw8fYv369bh48SKOHj2KXbt2ITY2FkuXLkVWVpbBvunp6QgICEBUVBQOHDiAgwcPIioqCmvWrMHjx48N9s3OzsaSJUtw48YN7NixA8eOHUNYWBi+/PLLEr3nU1NTi2tHxIKOHDkidAmyRLnyg3LljujOAQWADh06IDs7G5GRkXBwcMDnn3+OFStW6B/v06cPYmJicOfOHZPnvjj/wN3dHYcPHy72e8nxCOjFixfx3nvvCV1GqfB5DujdpIt4sya/eUjtHFApjpEXNBoNtm/fDgAYPHgwbGyef5BT0iOgPXv2RGpqKp3DaCauzwGV8lgUs5dzpXNAuaOE8fqqHlsSpekPovkI/mX9+/fH1q1bYWVlhSZNmpgcsUhJSUHr1q1f+xq2trZo0aIFn2WK1rNnz4QuQVTyCygPY1IeIwUFBfDx8QEA9O3bV98cS/rHJC3dKS5SHotiRrnyQwm5vqrHck2UE9D8/Hx06NABAODj44MlS5boH9NoNIiLi8O0adOEKk/0srKyhC5BVPILKA9jUh4j1tbW6Natm/5rIm1SHotiRrnyQwm5WqrHCt69U1JSsGjRIqSlpQF4/jHa/v37MXPmTADA2LFjwRjTX1C0e/duNGrUCP379xesZrFr2LCh0CWISpXKlIcxKY8RR0dHHDt2DMeOHTM5P5wUTcyrzUl5LIoZ5coPJeRqqR4r+AQ0LS0Nq1atQr169dCvXz/MmzcPwcHB+lsvubi44N9//4W/vz+mT5+OI0eO4NChQ3Tk4zWOHj0qdAmicvM/ysMYjRFlEfNqczQW+UG58oNy5Y4oL0IqC7pJ8vOPCFxcXIQuo1T4vAgpvyALDvb85iG1i5CkOEa4orQekZWVhZSUFNSrVw8AkJiYiNq1a2PHjh0YMGAAFixYgGXLlumz0Gq1cHV1RUBAAEaMGGHyelznp+SxyKeXc6WLkLhD4/X1LH4j+ry8POzdu1e/fCYR1rJly4QuQVTOXKA8jEl5jOTm5qJx48Zo3LixIpbiLGt/dXFx0U8+AaBixYooX748vL29AQA7d+40uGBTpVKhadOm+qtg+SblsShmlCs/lJCrpXqsWRPQ1q1bo1+/fggNDUV2djZatmyJ/v37o3PnztiwYQPXNZJSmj17ttAliEp3b8rDmJTHCGMMsbGxiI2Nhcw+wAHAf38V22pzUh6LYka58kMJuVqqx5o1AdVoNNi8eTM6duwIf39/3Lx5E4cPH0ZKSgrCw8O5rpGUkhKWCisNWorTlJTHiIODA06dOoVTp07JcilOvvrrnTt3MG3aNEycOBHbt29HYWEhMjIyyrzaXHH/FXdvVimPRTGjXPmhhFyL6rHJyckler+XZqU5syagH3/8MRwdHZGWloYVK1Zg5MiR6NGjB6ytrekeeyIwYcIEoUsQlfdbUx7GpDxGVCoVvL294e3tDZVKJXQ5nOOrv4p1tTk7OzvJrTb39OlT0a82Z2tra7DanH+YFs8KGFZFanH9sQ77EnT4944Ol1N0WBejRUoOg3+YVr9vvoZh0SUtEp4wBN/Q4nSSDufu67A5Vou7mQzzL2qh1Rk+JymTYeM1LS480OHkXR123tTiZgbDksta5KoN903LZQiM1uLKIx3+ua3Dgf90uJqmQ8AVLTLyDPfNzBTPanODBg0q0Wpzfn5+kl1tLi8vD1euXEHVqlWxe/duHDt2DD/88APnK82ZdRHSl19+iV69emHJkiW4fPkybt68iapVqyIhIQHvv/++/pZKQlDaBQZFCQgIkNwEg8+LkM6FB6Adz5NQqV2EJMUxwhWx9whL9FcxrTan5LHIp5dzpYuQuKPU8crHSnNm3Yh+zpw5mDNnDsqVK4eDBw+iatWq2LNnD/7++2+0bNnSnJckHGrbtq3QJYiKZ03Kw5iUx4hGo8HBgwcBAL169eJtlQ6hWKK/imm1OSmPRTGjXPmhhFyL6rF8rDRnVueuWrUq1qxZY7Dt008/xaeffmrOyxGOJSUloVmzZkKXIRpPnyWhukczocsQFSmPkYKCAn2vyc7Olt0E1BL9VUyrzUl5LIoZ5coPJeRqqR5r1qsmJydj1KhRsLW1xaFDh5CRkYHAwEC4u7vjs88+47pGUkovzuviCp8fj1sEx3nIAddjxJKsra3x/vvv67+WG677a0pKCjZv3oyRI0eicuXK+tXmDhw4AOD5anOLFy9GZGQkWrRoYfHV5qQ8FsWMcuWHEnK1VI81awI6ceJEpKSk6P8KcHNzw3fffYdx48YhPT2d1mkXWI0aNYQuQVQqlKc8jEl5jDg6OuLcuXNCl8Ebrvvri9Xm5s6diy5duqBWrVpFrjb3448/wtPTE+np6RZdbU7KY1HMKFd+KCFXS/VYsyagDx48wKVLl7B06VKD7a1atYKfnx9NQAUWFhYm+48ISuPu/TD6CN4IjRHx4rq/NmnSBLdv337tPg0bNsSOHTtKWyonaCzyc5HQ2WgtGjWV310ihEbjlTtm/Ynbtm1b2NubvmH279+viJVJxG7AgAFClyAq7zaiPIzRGBEvpfVXGov86FdPfqeniAGNV+6YNUKrV6+OmJgY/bkQcXFxGDRoEA4fPoyRI0dyWiApPeMLGJTuwiXKw5iUx0heXh5atWqFVq1aIS8vT+hyOKe0/irlsShmgTE6oUuQJSWMV0v1WLPuA/riZrmrV69GZmYm8vLyYGtri6+++gr+/v6ws7Pjo9YSEfs9/qRI8hchWYDU7gMqZTk5OShXrhyA51doOjs7l+r5Yu8RYu6vgPjzkyKp36eTb2K6D6gSlKXHlqY/mHUE1NraGj/88APu3r2Ly5cvIzIyEhkZGVi0aJHgzZEoY6mw0qClOE1JeYzY29vj4MGDOHjwYJEfVUud0vqrlMeimL1YSYhwSwnj1VI91qwjoMYePnyI4OBg1K9fHz179uSiLrPRX+fP/2J58dcLF6R+BLSgIBv29tzlIQfGmSjpCK7UeoSY+ivAfX5c9ysp4uMIaHYhQzk7ebyvxXQElMbr6/F+BNTd3R0fffQRQkNDkZaWhlatWmH27NmYNWsW5s2bZ1bRhDuBgYFClyAqYRGUhzHKRLyU1l+pX/Fj3VU6B5QPNF65Y9ZtmBo1aoR//vkHAODr64uMjAyEhYWhadOm+PbbbzktkJSeGI6SiEmDepSHMSlnotVqcfLkSQBAly5doFLJ61YzSuuv1K/48YEnXQVfUqU5At01naFw2v9K9fpiOoJbEpbqsWaNUG9vbwDAnTt3sH79ekycOBFNmzYFAFneJkRqrl69KnQJopL8iPIwJuVM8vPz0aNHD/To0QP5+flCl8M5pfVX6lf8uP5Y2qdOiZUScrVUjzVrApqWloaVK1eiT58+cHNzw48//ggAOHv2LP7++29OCySlV6FCBaFLEBVHhwpClyA6Us7E2toaTZs2RdOmTWW5FKfS+iv1K364yu/6PFFQQq6W6rFmvfL8+fORnZ2Nzp074+TJkyhfvjz27NmDrVu3wsfHh+saSSm5uLgIXYKo2NtTHsaknImjoyOioqIQFRUFR0dHocvhnNL6K/UrfrjI74YJoqCEXC3VY806B9TZ2Rn/+5/hORCffvopKlWqhLp163JSGDFfXFwc2rRpI3QZopGaFgfPmpTHyygT8VJaf6V+xY8bGQzvVRO6CvmhXLlj1gRUp9Ph6NGjePz4MXS6/7vS7t69e5g+fTrCwsI4K5CUXvfu3YUuQVTerkN5GKNMxEtp/ZX6FT+6vim/01PEgHLljlkT0C+++ALr1q0z2W5lZYXWrVuXuShSNkFBQZg9e7bQZYjGpStB6O5NebxMypnk5eXpr5w+fPiw7D6GV1p/pX7Fj03XdZjZRl53iBADJeRqqR5r1lQ+Pj4eN2/exNOnTzFv3jzodDrodDrMmzcPf/31F9c1klKiZm5IqhMtPkk5E51Oh9OnT+P06dMGRwjlQmn9lfoVP+Q+SRKKEnK1VI81awLaqVMn1KtXD+XLl0deXh6ysrIAPD9P6fPPP+e0QFJ6SlgqrDRoKU5TUs7E3t4ewcHBCA4OluVSnErrr9Sv+EFLcfJDCblaqsea9RF8QkICZs+ejV69emH06NEYNmwYfH19sWPHDsTExHBdIykl4wsYlK5LB8rDmJQzsbGxwcCBA4UugzdK66/Ur/gxvTWdq8gHJeRqqR5rVpK//fYbzp8/j5MnT6JWrVoYOnQo+vXrhw0bNshypQ6pWbhwodAliErIOcrDGGUiXkrrr9Sv+LHkkvxOTxEDypU7Zh0BrV27tn6ZJgAYNmwY+vTpA51OR/d0E4EhQ4YIXYKoNG9CeRiTciZarVZ/JXibNm1ktxSn0vor9St+DGwg/yN1QlBCrpbqsWYnuXfvXiQnJwMAsrOzsX//fqjVas4KI+Y7e/as0CWIyu17lIcxKWeSn5+P9u3bo3379rJcihNQVn+lfsWP8w/oSB0flJCrpXqsWRPQOXPmoF+/fti1axcAoFy5cujZsyeGDx+Oa9eucVogKb0333xT6BJExc2V8jAm5UysrKxQt25d1K1bF1ZWVkKXwzml9VfqV/yoVV5+7w0xUEKuluqxZn0Ef+rUKZw8eRIdO3bUb6tQoQIGDRqEiRMn4vTp05wVSEpPq5X/VXqloWOUhzEpZ+Lk5ISEhAShy+CN0vor9St+aJnQFciTEnK1VI81awLarFkzeHt7m2x/8uQJIiIiyloTKaMXH92R5zKzKA9jlIl4Ka2/Ur/iR0q2AmZKAqBcuWPWR/BqtRrnzp3T/5sxhh07dmDu3Llo0aIFZ8UR88hxtZSyqFWD8jBGmYiX0vor9St+tPSQ/8UyQqBcuWNWkj///DN8fX3x9ttvo23btqhSpQoGDx6M8uXLY+3atVzXSErpxblj5LmY65SHMSlnkp+fj48//hgff/yxLC9CUlp/pX7Fjz3x8r9YRghKyNVSPdasj+ArV66MS5cuYevWrbh06RLef/99NG7cGMOGDYODgwPXNZJSmjx5stAliErHtpSHMSlnotVq8c8//+i/lhul9VfqV/yY1IKO1PFBCblaqseaNQEFADs7O4waNQqjRo3ish7CgQULFtD6yi85dXaBpNc+54OUM7Gzs9OviW5nZydwNfxQUn+lfsWPxZd1ili33NKUkKuleqwVY0xWZ9TWqFEDDx48QPXq1XH//n2hy5GFJXNlNURIEb75Qf63FnmBekTZUH7cK5zG33rbRHh2CwuELsFiStMfSnQsWavVIjExkYvaiAX4+fkJXYKoHAuhPIxRJuKh9P5K/Yof/mHyOz1FDChX7pRoAvrVV1/h/fff57sWwpExY8YIXYKotG5BeRiTciZarRZRUVGIioqSxTmgSu+v1K/4Meod+Z+rKAQl5GqpHluiJI8dO4ZDhw7p/33+/PlX7puVlVX2qkiZHD58WOgSRCUugfIwJuVM8vPz0bx5czRv3lwWV8Ervb9Sv+LHv3fkf7W2EJSQq6V6bIkmoB9//DGaN2+u/3dQUNAr9z1y5EiZiyJl8+677wpdgqhUq0p5GJNyJlZWVqhWrRqqVasmi6U4ld5fqV/xo0ll6b83xEgJuVqqx5boKvj69evjs88+Q61ataBSqRAZGYlffvnFZL/c3Fzs3r0bAwcO5LxQUnIZGRlClyAqubmUhzEpZ+Lk5IQHDx4IXQZnlN5fqV/xI0P6Hw6IkhJytVSPLdEE1NfXFxs2bEBQUBCSkpKQmpqqv0T/ZXl5eUhLS+O8SFI6OTk5QpcgKoVqysMYZSIeSu+v1K/4kasWugJ5oly5U+L7gL58T7rx48cjMDCwyP2K+sudWFaDBg2ELkFU3CtRHsYoE3FRcn+lfsWP+m7y/6hYCJQrd8y6nOurr7565WO+vr5mF0O4cfz4caFLEJX425SHMSlnkp+fj4EDB2LgwIGyuAjJmNL6K/Urfpy4K/+LZYSghFwt1WPLdCP6u3fvIiIiAra2tujQoQMqVKjAYWnmoZskA5mZmShfvjxnryf1G9Hn52fCwYG7POTAOBMp3Yg+JycH5cqVAwBkZ2fD2dm5VM+XSo8QY38FuM+P634lRXzciD6zgKG8vXTe11JhTq5SuxF9WXos5zeiN6bRaDBhwgTUrVsXAwYMQJ8+fVC1alXMmjXLnJcjHFu+fLnQJYjKmTDKw5iUM7Gzs8PKlSuxcuVKWS7FqbT+Sv2KH6uuyP9InRCUkKuleqxZR0BnzJiBnTt34uuvv4aXlxeqVq2Kx48fY+fOnahYsaKgjVIqRzekROpHQEnxpHQEtKzE3iPE3F8B8ecnRbQUp7xJ7QhoWfB+BPTixYu4evUqpkyZgg4dOqBevXpo27YtFi1aRA1JBGhpO0O07KQpykS8lNZfqV/xg5aM5Aflyp0SXwX/statW7/ynICkpKQyFUTKTo4XKpTF+60pD2NSzkSn0+HWrVsAgDp16sDaWl5L4ymtv1K/4scXTeX1vhALJeRqqR5r1qtmZ2cjLi7OYFtiYiJ8fX3pnm4isHXrVqFLEJUrVykPY1LOJC8vD2+//Tbefvtt5OXlCV0O55TWX6lf8WP7DfmfqygEJeRqqR5r1hHQ2bNno3PnzlCpVHB1dcWjR49w7949VK5cGSdPnuS6RlJKHTp0ELoEUXnrTcrDmNQzcXV1FboE3iitv1K/4kf7Gso5r9uSlJKrJXqsWUdAq1evjqioKPj6+qJ69epo3rw5fv31V9y8eRONGjXiukZSSomJiUKXICoZTxOFLkF0pJyJs7Mznj59iqdPn5b6FkxSoLT+Sv2KH4nPhK5AnpSQq6V6rFlHQIHna4VOmjQJkyZN4rIewgGVSiV0CaJibUV5GKNMxE1J/ZX6FT9U8j9VURCUK3coShny8PAQugRRKe9CeRijTIhYUL/ih4f8PhwQBcqVOzQBlaFLly4JXYKo3HtAeRiTciYFBQUYPXo0Ro8ejYIC5dxfT66oX/Hjcgrdv5kPSsjVUj1WFBPQlJQU9O/fH66urqhbty4CAgIMHr979y4GDx6Mb775Bj4+PkhJSRGoUmno16+f0CWIyruNKA9jUs5Eo9Fgw4YN2LBhAzQajdDlkDKifsWPvvVE8etddpSQq6V6rFlJzp8/H7t27eKsiDFjxqBJkyZYvXo1PD094evri02bNgEAcnNz0bVrV4wdOxZLlixBv3790Lt3b2i1dDPYV1m7dq3QJYjKhUuUhzEpZ2Jra4v58+dj/vz5sLW1FbocznHdX8WO+hU//oyR/+2ChKCEXC3VY81airNixYrw9fXF3LlzTR5jjMHKquS3Kbh+/Tri4uIwYMAAAM9n3u+88w7c3d0RGhqKBQsWYNmyZfoVQLRaLVxdXREQEIARI0aYvB4tE8c9WopT/mgpTvHgsr/yQez5SREtxSlvtBRn0cw6AhoQEIA6deoU+diyZctK9Vpubm7o37+//t82Njbo2bMnMjIyAAA7d+5EixYt9I+rVCo0bdoU27dvN6NyZaCl7QzRspOmKBPx4rK/SgH1K37QkpH8oFy5Y9ZtmIKCgpCQkIAVK1YY3Ky0oKAAERERmDJlSolfq6grIDUaDdq0aQOtVouIiAiTI53u7u4IDw83p3RFmDp1qtAliEqn9ykPY1LORKfTITk5GcDz/iG3pTi57K9SQP2KH5O95PW+EAsl5GqpHmvWBNTDwwOPHz9Gw4YNDQrT6XS4d+9emYs6deoUgoODkZGRAa1WCzc3N4PHXVxc8Pjx49e+hlqtRmRkZLHfy8PDQ3a3AQkICMC3334rdBmicf5SALzbUR4vk3ImeXl5qFGjBoDny1a+uFFycnKyvmm+jlqt5rW+suK7v4oN9St+rI3W4ZuWdI9Vrikh11f1WK6ZNQGdOHEinJyc0KBBA5PHjhw5UqaC9uzZg27duqFRo0b6Saajo6PBPlqtttgTY1NTU+Hl5VXs9xs0aBB++uknHD9+HKNHj8by5csxe/Zs+Pn5wdfXF1u3bkWHDh2QmJgIlUoFDw8PXLp0Cf369cPatWv1+06dOhUBAQHo1asXoqOjUbFiRTg6OiI+Ph5du3bFhg0b9PvOnDkT8+fPx7BhwxAaGoratWtDo9EgJSUFXl5e2Lt3LyZNmoSFCxfqnzNu3DgcOHAAzZo1Q3p6OvLy8lCvXj2cOnUKI0eOxIoVK/T7fvDBB1i5ciU6deqEW7duwc7ODlWqVEFERAT69OmDwMBA/b7ffvstVq9ejU8++QSRkZGoXLky7O3tcevWLXh7e2PTpk1w0P0PJ0J/Q9eOs3DijD9aNh2B/xJDUOmNOtBoC5Cdk4Ya1Vrg+o39eL+1L06fW4Tu3rNxLMQPbVqOx7Ub+1Cjmheysh9Bqy1ERbc6uJV4Gi3f9cHZiyv1+7ZvMwmXozaibu3OSEtPgK2tI5ydKuJBchQa1++NixF/6vf1bjcNZy6uQJOGfXH/YQRcylWFtbUNMp7cwVueHREZswVd2s/AiVB/NH1nII6F+KFl81FIuH0ClSu+DbU6D7l56ahWtSlibx7E+60m4PT5xfrXb9vqC8TE7kat6q2QmZUMHdPCrYInbt89g+ZNhuJ8+Gr9vh3afI3wqCC8/VY3pD6+ATtbZzg5ueFhSgwa1uuJ8Mj1+n07t5+O0AvL8G7j/rh3PxzlXTxgbaVCxrO7eKtWe1y5ug3e7abh5Jnf9c9p1Xw04m8dg3vlhigoyEJe/lN4VGmCGwmH0cZrPEIvLH2p7i8RE7sTb9Zog6eZ9wHGUMG1JhKTLqDZO4NwPjwA3b1n48mzJOQXZOFixDrUr9sDu3bdgIuLC1xdXXH9+nV8+OGHWL9+vX6cfPfdd1i8eDEGDhyICxcuoGbNmgCApKQktG3bFjt27MDUqVMxb948/XPGjBmDI0eOoHHjxnj27BmysrLQsGFDHD16FGPHjsWyZcv0+06YMAHBwcFo27YtkpKSYGVlhRo1aiAsLAwDBgzAmjVr9PuOHz8e1tbWsLa2xu7du1G1alW4uLjA398f+/fvN7PziAef/VWMevXqJXQJsvTRW/I/UicEpeRqY2P2OkUlZtZFSABw7tw53L17F8OGDUN6ejpOnjyJPn36wM7Ozuxinjx5gnHjxmHr1q2ws7MDYwwODg74/PPPsWLFCv1+ffr0QUxMDO7cuWPyGi9OgHV3d8fhw4eL/Z5yPAIaHByMQYMGcfZ6Ur8IKepaMJq9w10ecmCciRwuQirpEdCePXsiNTVV1BfRcNlfU1JSMHHiRBw/fhyVK1fGt99+iwkTJugfv3v3LmbMmIFq1aohLS0NCxcuRNWqVV/5elxfhMR1v5IiPi5C2nlTiwH15X2kTgjm5EoXIRXN7HNAx44di65du2LYsGGoWLEiWrVqhT59+iAgIACenp6lfk2tVosZM2Zg+fLl+iZrZWWFJk2aIDU11WDflJQUtG7d+rWvZ2tra3DxkpJUrFhR6BJExcmR8jAmx0xK+sek2G/dxHV/HTNmDFq3bo1+/frhr7/+gq+vL8qVK4cRI0bob3O3evVq9OjRA7t370bv3r0RFhZmsSUyqV/xw81B+n9UihHlyh2zjiUvXLgQGzduRNu2bfXbPD090aNHD4wdO9asQmbOnAlfX19Ur15dvy01NRU+Pj4ICwvTb9NoNAa3bSKmjE9ZUDpbW8rDGGUiXlz21+vXr2PMmDGYM2cOhg8fjiNHjqB+/foIDAwEAKxatQr5+fno0aMHgOefLsXFxWHLli3c/UDFoH7FD0f+P0FVJMqVO2ZNQN955x0MHz4cTk5OBtuzs7Nx8eLFUr/e999/D51Oh0ePHuHIkSM4ePAgZsyYgcuXL2Ps2LFgjOkvKNq9ezcaNWpkcOsmYig+Pl7oEkQlLZ3yMCblTAoKCjBx4kRMnDhRlktxctlfpXCbO+pX/Eh4Iu1Tp8RKCblaqseaNZd/cZTy5Rsix8TEYOnSpUWeOP86CxcuxG+//QYAWLRokX77G2+8gV9//RW2trb4999/8eOPP8LT0xPp6ek4dOiQ7G69wqWuXbsKXYKo1HuL8jAm5Uw0Gg1Wr14N4PmqQfb28rqJN5f9VQq3uaN+xY/Oteh3JB+UkKuleqxZE9CRI0di/PjxyMjIwPz58xEREYHdu3fDwcGh1DdKnjZtGqZNm/bafRo2bIgdO3aYU6oivbjinjx3+coGdPemPF4m5UxsbW3x008/6b+WGy77a1G4uM0dwN2t7qhf8ePvWB1mtqGLkLimhFyL6rF83ObOrKl806ZNMX/+fDRv3hwREREoKCjAjBkzEB8fj3bt2pnzkoRD1MwNSXWixScpZ2JnZ4c5c+Zgzpw5Zbrrhljx2V9fvs3diyOs5tzmDvi/W90V99+UKVMQGxuL5cuXIzMzU7/ykZ+fHzIyMvDGG28gJiYG+/fvx6FDhxAZGYm1a9ciLS3NYN/c3FwsWrQIN2/eRHBwME6cOIHz588jKCgISUlJBvtqtVr4+/vj7t272LRpE86ePYuQkBBs27YNCQkJWLBgAfLz8w2ek5KSgsDAQFy6dAlHjhzBnj17cO3aNaxYsQLPnj0z2Pfp06dYuXIlrl69ir179+Kff/5BREQE/vjjDzx69Mhg37y8PCxatAgJCQnYvn07Tp48iXPnzmHjxo24d+8efv31V+gYg3+YFjrG8HuYFvcyGf6+rsX5BzqcuqfDjhtaJDxhWHJZizw106/G4x+mxaMchj9jtIh8pMPh2zrsS9DhWpoOrvbA03zDfZ8VMKyK1OL64+f7/XtHh8spOqyL0SIlx3DffA3DokvPv2/wDS1OJ+lw7r4Om2O1uJvJMP+iFlqd4XOSMhk2XtPiwgMdTt7VYedNLW5mPK8716jutFyGwGgtrjzS4Z/bOhz4T4eraToEXNEiI89w38wChpWRWsSlM+xN0OFo4vO6/7qqxcNsw30LNAwLw7W49ZRhe9zzus/e12FLrBaJzxgWXNRCY1T3/SyGDde0uPhQh+OJOuy6qcONdIZlEVpkFxruO/5da/wRrUV0qg6Hbulw8JYO0ak6rI3SIt2o7qxChuURWsTGxmLXrl04evQoLl68iPXr1+Phw4cG40StVmPevHm4ffs2Nm/ejNDQUISGhmLz5s24ffs25s2bB7VabfCchw8fYv369bh48SKOHj2KXbt2ITY2FkuXLkVWVpbBvunp6QgICEBUVBQOHDiAgwcPIioqCmvWrMHjx48N9i0sLISrqyuGDBmCffv24dixY/jhhx9K9H43vmj8dcy+DZNY0TrFzwcQl5NQqd+G6ViIn6QnXHwwzkQOt2EqKaX2CC5ucwdwf6s7rvuVFPFxGyb/MK3sj9QJwZxc5XAbJj5uc2f29VyrVq3C2rVrcfv2bTg7O6N79+6YO3cuateube5LEo7MnDlT6BJEpWtHysOYlDNhjOHZs2cAAFdXV4NzJeWC6/7K9W3uAO5udUf9ih8zWsv/XEUhKCHXonosH7e5MyvJ2bNnY9KkSahYsSJ+/PFHzJkzB+7u7vjwww+RkJBgzksSDs2fP1/oEkTl5FnKw5iUM8nNzcUbb7yBN954A7m5uUKXwzk++quYb3NH/Yofiy7phC5BlpSQq6V6rFlHQAMDAzFhwgSsWrXKYPu0adPw008/6e8xR4QxbNgwoUsQlRbvUh7GKBPx4rq/Gt/mTqPRIDQ0FN7e3hg7diwWL16MyMhItGjRQpDb3FG/4sfghvI/UicEypU7Zk1AK1euXGSDqlatWqmugCL8CA0NNbm1ipLdTgyFWzPK42VSzsTJyQmFhYUALLNesaVx2V+lcJs76lf8OHtfhzcb0TmgXFNCrpbqsWa98rp163DgwAF06dLFYHt6ejri4uI4KYyYj87DNeT2BuVhTMqZWFlZyfL2Sy9w2V+lcJs76lf88Cwvv3OjxUAJuVqqx5ZoAtq0aVNkZWUZbHv69KnJcm3Z2dkYPnw4d9URs2g0GqFLEBWdjvIwRpmIh9L7K/UrfmikffMS0aJcuVOiCWj79u2RmpqKhg0bQqV6/aHniRMnclIYMV9KSorQJYhKVjblYUzKmRQWFuL7778HAPz666+Svxeo0vsr9St+PMqhmRIflJCrpXpsiSagEydOhKurq8EVlK+Sn59f5qJI2Xh5eQldgqjUqEZ5GJNyJmq1GgsXLgQAWdyMXun9lfoVP5pXoYtl+KCEXC3VY0uUZKNGjUrUHBlj+qKJcPbu3St0CaJyNW6v0CWIjpQzsbW11Z/bKIdzQZXeX6lf8WP/f/K/XZAQlJCrpXqsWSshnThxAlOmTEF8fHyR5+9otVpOijOHUlc5eVl+fj4cHBw4ez2pr4SkVufD1pa7POTAOBNaCUk8xNxfAe7z47pfSREfKyHlaxgcbJTzvrYUc3KVw0pIJVWa/mDWVfAjRoxAixYtMGnSJNjb/98bR6fTYdOmTea8JOHQwoULFb+03ctCzi2kpTiNUCbipbT+Sv2KH0su62gpTh5QrtwxawJqbW2NjRs3ws3NzeSxZs2albUmUkbUzA3RRMuUlDNhjOmPDNrY2MhuKU6l9VfqV/ygSRI/lJCrpXqsWWfT/vLLLzh79myRj8lxaTyp8fPzE7oEUTkWQnkYk3Imubm5sLOzg52dnSz7jdL6K/UrfviHCXuqhlwpIVdL9VizjoAOGzYM48aNQ1RUlMF2nU6HgwcP4vLly1zURsw0btw4oUsQlfe8KA9jlIl4Ka2/Ur/ix2dN5H+1thAoV+6YNQEdMGAA/vnnH7i7u8PR0VG/XafT4eHDh5wVR8xz4MABjB8/XugyROP6zQNo25LyeJmUM3FycsKTJ0/0X8uN0vor9St+HLqlw9h35f9xsaUpIVdL9VizJqBnzpzBoUOH0LNnT5PHVq1aVeaiSNnI8Tyxsqju0UzoEkRHyplYWVmhQoUKQpfBG6X1V+pX/GjqLq9zo8VCCblaqseadSy5d+/eeOedd4p8bOjQoWUqiJRdenq60CWISk4u5WGMMhEvpfVX6lf8SM8TugJ5oly5Y9YEdOXKlTh48KDJdsYY1q5dW+aiSNnk5dE75GVqNeVhTMqZFBYWYs6cOZgzZw4KCwuFLodzSuuv1K/4kW96C1nCASXkaqkea9ZH8A0aNEBaWhq++uqrIh+fOXNmmYoiZVOvXj2hSxCVyhUpD2NSzkStVuPnn38GAEyfPl3yS3EaU1p/pX7Fj7pvCF2BPCkhV0v1WLMmoGPHjsWzZ8/QvHlz2Nj830toNBps2bKFs+JIyRivVHQm7CQ6tGksUDXi89+dU/CoUvRHmkol5UxsbGzg6+ur/1pulNZfT5069cpTDoj5Qu4xNK4kdBXyo4RcLdVjzXrlF4UZr1+cm5uL1q1bl70qUiYtm40UugRRoTxMSTkTe3t7WV6M84LS+uvIkdIdi2Lm05huF8QHJeRqqR5rVpLVq1c3aY4AEB4ejujo6DIXRcrmbNgKoUsQFcrDFGUiXkrrrytW0Fjkw+orOqFLkCXKlTtmL8X5qqWZWrVqBR8fnzIVRcpGysss8oHyMEWZiJfS+istxckPJSwZKQTKlTtmTUC7deuGoUOHwtr6/w6garVa7N27FwMGDOCsOGKeYyF+NMF4CeVhSsqZ5OTk6O9R9/TpUzg7OwtbEMeU1l/9/PxoEsoD/zAtTZZ4oIRcLdVjzZqALlq0CE2aNDHZ7ubmhjt37pS5KFI27d8r+upZpaI8TEk9E41GvvdCUVp/fdXV/mJSOM1e6BJKbUIz+Z+rKASl5GqJHmtWkkU1RwCoVasW/Pz8ylQQKbvLMX8LXYKoUB6mpJyJo6Mj7t+/j/v37xssVSkXSuuvf/8t3bEoZlvi6FxFPighV0v1WLOOgI4ZM8ZkW15eHkJDQ1GtWrUyF0XKpo5nJ6FLEBXKw5SUM7G2ti7yIh25UFp/7dRJumNRzDrWkP+SkUJQQq6W6rFmHQHdsWMHbt26hTt37uj/y8jIQJ8+fXDgwAGuaySllJ5xS+gSRIXyMEWZiJfS+uutWzQW+XDrqdAVyBPlyp0SHQE9ceIEunbtqv/30qVLMXbsWN6KImWjUslrZZiyojxMSTmTwsJCLFu2DAAwefJkya+EpPT+KvX/f2JlJ+/rZASjhFwt1WNLNAFduHAhtFotHBwcAAB169ZFaGjoK/fv2LEjN9URs7iUqyJ0CaJCeZiSciZqtRozZswA8Pym7VKfwCi9v1apIt2xKGZV5HVzCNFQQq6W6rElmoAmJCTg1KlT+gZp7MaNGwgODoatrS3mzZsnuwYpNfcfRqBmNS+hyxANysOUlDOxsbHBqFGj9F9LndL7a0REBLy8pDkWxSzyEUMLmttzTgm5WqrHluiV586di6FDhxb5WFBQEBYsWIAaNWpg+/btaNOmDacFktJ7p0EfoUsQFcrDlJQzsbe3R1BQkNBlcEbp/bVPH+mORTHrXUcZtwuyNCXkaqkeW6IkhwwZYrItJycHI0eOxNixY9GpUydcuXJFls1RisIuBwpdgqhQHqYoE/FQen8NDKSxyIf1V+V/uyAhUK7cKdEE1HhZuKioKLRo0QJbt26Fn58fDh06BDc3N14KJKUn1RVu+EJ5mKJMxEPp/ZVWQeKH3FfrEQrlyp1SH0tesWIF2rZti+zsbJw4cQIzZ87koy5SBsdC5Hez6rKgPExJOZMXy8RVqFABOTk5QpfDKSX2VzneXF8M/MO0QpcgS0rI1VI9tsRnlz558gSfffYZ9u/fjy5dumDLli1wd3c32S8tLQ2VK1fmtEhSOp3afSt0CaJCeZiSeibPnj0TugROKbm/fvuttMeiWE3xkv+5ikJQSq6W6LElSvLcuXNo1qwZDh06hB9//BHHjx8vsjkCwK5duzgtkJTe+fDVQpcgKpSHKSln4ujoiPj4eMTHx8tiKU6l99fVq6U7FsVsTTSdq8gHJeRqqR5boiOg3t7e0Gq1qFSpEk6fPo0uXboUuV9ubi6io6Px5ZdfclokKZ3GDT4RugRRoTxMSTkTa2tr1KtXT+gyOKP0/vrJJ9Idi2LWSwFXawtBCblaqseWaAJarVo1nD59Gp6enq/dLy8vTxHnLInd/YeRqFxRPr+gy4ryMEWZiIfS+2tkZKSs/qAQi6hHOtR7gy6Y4Rrlyp0STUBnzpxZbHMEnh+2HTduXFlrImVUzlle54iVFeVhSsqZqNVq/PHHHwCAzz//HLa2tgJXVDZK769yO6dVLCo5WRW/Eyk1JeRqqR5bogno8OHDS/yC77zzjtnFEG7YqOyFLkFUKA9TUs6ksLAQX331FQBg9OjRkp+AKr2/2ttLdyyKmT0dpOOFEnK1VI8t0ckMLi4uvHxzwo/HT24JXYKoUB6mpJyJSqXCgAEDMGDAAKhU0v9toPT+euuWdMeimN1+yoQuQZaUkKuleqz0F1ImJup6egtdgqhQHqaknImDgwN27NghdBmEI97e3kKXIEsda8r/YhkhKCFXS/VY+SepQJejNwldgqhQHqYoEyIWmzbRWOTDllj53y5ICJQrd2gCKkNdO8jvStmyoDxMUSZELOR4Zb8YzHiPfr3zgXLlDiUpQydCfxO6BFGhPExJOZPc3FxUr14d1atXR25urtDlkDL67TfpjkUxm3eRjtTxQQm5WqrH0jmgMtS14yyhSxAVysOUlDNhjOHhw4f6r4m0zZol3bEoZt/RkTpeKCFXS/VY+SepQCfO+AtdgqhQHqaknImDgwOuXLmCK1euwMHBQehySBn5+0t3LIrZfAUcqROCEnK1VI+lI6Ay1LLpCKFLEBXKw5SUM1GpVGjWrJnQZRCOjBgh3bEoZsMa0fElPighV0v1WPknqUD/JYYIXYKoUB6mKBMiFiEhIUKXIEuhSfI/UicEypU7dARUhiq9UUfoEkSF8jAl5UzUajU2b94M4PkqQlJfCUnp6tSR7lgUs7cqyH/JSCEoIVdL9ViagMqQRlsgdAmiQnmYknImhYWF+OyzzwAAAwcOpAmoxBUUSHcsilmBVugK5EkJuVqqx9IEVIayc9KELkFUKA9TUs5EpVLho48+0n9NpC0tTbpjUcwe59IdIvighFwt1WNpAipDNaq1ELoEUaE8TEk5EwcHBxw6dEjoMghHWrSQ7lgUs2ZV6BIPPighV0v1WPknqUDXb+wXugRRoTxMUSZELPbvp7HIh4O36GIZPlCu3BHVBDQ/Px/Lli1DmzZtTB67e/cuBg8ejG+++QY+Pj5ISUkRoEJpeL+1r9AliArlYYoyIWLh60tjkQ9fNhXVr3fZoFy5I5okNRoNtm7dij/++MNkcpmbm4uuXbti7NixWLJkCfr164fevXtDq1XA2cBmOH1ukdAliArlYUrKmeTm5qJevXqoV68eLcUpA4sWSXcsitnSCDpSxwcl5GqpHiuaCaiNjQ0+++wz9O7d2+SxVatWIT8/Hz169AAA9OnTB3FxcdiyZYuly5SE7t6zhS5BVCgPU1LOhDGG//77D//99x8txSkDs2dLdyyK2cw2dIEeH5SQq6V6rGgmoC8UtezTzp07DU5UV6lUaNq0KbZv327J0iTjWIif0CWICuVhSsqZODg44OzZszh79iwtxVkKYj3Fyc9PumNRzPzD6BNCPighV0v1WNFfBa/VahEREWGyXJu7uzvCw8Nf+Ty1Wo3IyMhiX9/DwwMeHh5lrlNM2rQcL3QJokJ5mJJyJiqVCu3atTPZnpycjOTk5GKfr1ar+ShL1F4+xSknJ8fgsRenOK1evRo9evTA7t270bt3b4SFhVnkNlfjx0t3LIrZmCaiO74kC0rI9VU9lmuin4BmZGRAq9XCzc3NYLuLiwseP378yuelpqbCy8ur2NcfNGgQfvrpJxw/fhyjR4/G8uXLMXv2bPj5+cHX1xdbt25Fhw4dkJiYCJVKBQ8PD1y6dAn9+vXD2rVr9ftOnToVAQEB6NWrF6Kjo1GxYkU4OjoiPj4eXbt2xYYNG/T7zpw5E/Pnz8ewYcMQGhqK2rVrQ6PRICUlBV5eXti7dy8mTZqEhQsX6p8zbtw4HDhwAM2aNUN6ejry8vJQr149nDp1Cnn5I3A2bAW6e8/GsRA/2NmXg7W1Dep4dkJ6xi2oVHZwKVcF9x9G4J0GfRB2OVC/b6d23+J8+Go0bvAJ7j+MRDnnyrBR2ePxk1uo6+mNy9Gb0LXDTJwI/Q1dO87CiTP+aNl0BP5LDEGlN+pAoy1Adk4aalRrges39uP91r44fW6R/vXbtByPazf2oUY1L2RlP4JWW4iKbnVwK/E0Wr7rg7MXV+r3bd9mEi5HbUTd2p2Rlp4AW1tHODtVxIPkKDSu3xsXI/7U7+vdbhrOXFyBJg374v7DCLiUqwpraxtkPLmDtzw7IjJmC7q0n4ETof4oV84d2dmpaNl8FBJun0Dlim9Drc5Dbl46qlVtitibB/F+qwk4fX6x/vXbtvoCMbG7Uat6K2RmJUPHtHCr4Inbd8+geZOhOB++Wr9vhzZfIzwqCG+/1Q2pj2/AztYZTk5ueJgSg4b1eiI8cr1+387tpyP0wjK827g/7t0PR3kXD1hbqZDx7C7eqtUeV65ug3e7aTh55nf9c1o1H434W8fgXrkhCgqykJf/FB5VmuBGwmG08RqP0AtLX6r7S8TE7sSbNdrgaeZ9gDFUcK2JxKQLaPbOIJwPD0B379kI3v8FhvffhIsR61C/bg+MHhIHB3sXONi7IiXtOhrU/dCg7i4dvkPI+cVo1nggEpMuoIJrTQDA02dJ8KzZFlHXd8D7/ak4eWae/jmtW4zBjf+OoGrlxvhoQCaysrLQsGFDHD16FGPHjsWyZcv043vChAkIDg5G27ZtkZSUBCsrK9SoUQNhYWEYMGAA1qxZo993ypQpCAwMRM+ePXH16lVUqFABLi4u8Pf3pyuqX+HFKU43b97Etm3bDB4r6hSnkSNHYsuWLRZZp33fvn34/PPPef8+SnPglg7j3pX/x8WWRrlyx4qJ7CSqOXPmICgoCImJiQCAx48fo3Llyvj+++8NPqoZPnw49u3bh+zsbIPn16hRAw8ePIC7uzsOHz5c7PeTwxHQJXMN/xcmPYxAzWrFT76VgvIwZelMvvmBu+XrNBoN9uzZAwD49NNPYWPz/O/okh4B7dmzJ1JTU1G9enXcv3+fs7qkwLi/AsB7772HKlWqGEze27VrhzfeeAMHDx40eY0XPZar/CIiIkp0sEBIhdPshS6h1CIf6dBCAfestDRzcrVbKK3Vvl7VY0uiNP1B9EdAK1asCDs7Ozx79sxge3Z2NipXrvzK59na2ir2BsdZ2Y+ELkFUKA9TUs6koKAAgwYNAvC8D7xojiX9Y5KW7vw/5p7ixKVHj6Q7FsXsUU7x+5DSU0Kur+qxXBP9BNTKygpNmjRBamqqwfaUlBS0bt1aoKrETastFLoEUaE8TEk5E2tra3Tq1En/NTGfuac4AdydZ19YKN2xKGaF8r9WRhBKyLWoHsvHOfaS6N4+Pj4ICwvT/1uj0SAuLg4DBgwQsCrxquhWR+gSRIXyMCXlTBwdHRESEoKQkBA4OjoKXY6kWVk9PzXCOEetVlvskeIX59kX99+UKVMQGxuL5cuXIzMzU38qlZ+fHzIyMnDp0iXExMRg//79OHToECIjI7F27VqkpaUZ7Jubm4tFixbh5s2bCA4OxokTJ3D+/HkEBQUhKSnJYF+tVgt/f3/cvXsXmzZtwtmzZxESEoJt27YhISEBCxYsQH5+vsFzUlJSEBgYiEuXLuHIkSPYs2cPrl27hhUrVuBZAdNf/ewfpsXTfIbVV7S4lqbDvgQdDt/WIfKRDn/GaPEox3DfPDXDkstaJDxh2HFDi1P3dDj/QIe/r2txL5Ph9zAtdOz5c3Ts+b/vZTL8fV2L8w90OHVPhx03nj9/yeXnr/fy6z/KYfgzRovIR8/r2Jegw7U0HS6n6PA033DfZwUMqyK1uP74+X7/3nm+37oYLVKM6s7XMCy69Pz7Bt/Q4nSSDufu67A5Vou7mQzzL2qh1Rk+JymTYeM1LS480OHkXR123tTiZsbzunON6k7LZQiM1uLKIx3+ua3Dgf90uJqmQ8AVLTLyDPfNLGBYGalFXDrD3gQdjiY+r/uvq1o8zDbct0DDsDBci1tPGbbHPa/77H0dtsRqkfiMYcFFLTRGdd/PYthwTYuLD3U4nqjDrps63EhnWBahRXah4b5uDgx/RGsRnarDoVs6HLylQ3SqDmujtEg3qjurkGF5hBaxsbHYtWsXjh49iosXL2L9+vV4+PChwfhTq9WYN28ebt++jc2bNyM0NBShoaHYvHkzbt++jXnz5kGtVhs85+HDh1i/fj0uXryIo0ePYteuXYiNjcXSpUuRlZVlsG96ejoCAgIQFRWFAwcO4ODBg4iKisKaNWvw+PFjk/dPnz59sGbNGhw8eBDHjh3DDz/8UKL3u/HBwtcR3Tmg33//PTZs2GBw7kBWVhYaN26MvXv3okWLFggODsbixYtx/vx5kyMgXJ+fJAXG54CeubgSHd77SqBqxIfyMGXpTLg8B7SslNgjXjA+B5QxBgcHB3z++edYsWKFfr8+ffogJiYGd+7cMXkNrs+zX7lyJb76StzvTymeA7r6iha+zeliGa6Zk6vUzgEtCh/n2IvqI/hdu3Zh//79SE5OxtKlSzFs2DC4u7vDxcUF//77L3788Ud4enoiPT0dhw4doo/fXqHluz5ClyAqlIcpyoQAZTvFiavz7H18aCzyYVhD+v3IB6Xmysc59qJKsn///rh69Sq0Wi2mTJkCd3d3/WMNGzbEjh07sGDBAqxfvx4VK1YUsFJxO3txpdAliArlYUrKmeTl5aFZs2Zo1qwZ8vLyhC5H8oQ+xWnlSumORTELiJL/kpFCUEKuluqxopqAEm5IeZlFPlAepqSciU6nQ3R0NKKjo6HTyf+XAZfUajU0Go3BtrFjx4Ixpr+gaPfu3WjUqBH69+9vkZpoKU5+KGHJSCEoIVdL9ViagMqQlJdZ5APlYUrKmTg4OODo0aM4evQoLcVZCsanOL342P3FKU7+/v6YPn06jhw5YtFTnGgpTn4oYclIISghV0v1WNFdhFRWSrzAwPgipLz8Z3B0cBWoGvGhPExZOhO6CEk+uM7v2bNncHUV9/tTihchPStgcLUXz/tOLsSYq5gucipNf6AjoDJ0OWqj0CWICuVhijIhYrFxI41FPvx9nU5P4QPlyh1RXQVPuFG3dmehSxAVysOUlDPRaDT4999/AQAffPABb6t0EMvo3Fm6Y1HMvGuJ6yidXCghV0v1WDoCKkNp6QlClyAqlIcpKWdSUFCAXr16oVevXigoEM9HT8Q8CQnSHYti9t8ToSuQJyXkaqkeS4cOZMjWllaHeRnlYUrKmVhbW6Nly5b6r4m00WpW/HCg3+68UEKuluqxCohSeZyd6B6pL6M8TEk5E0dHR1y6dEnoMghH6J7O/KhI83peKCFXS/VYOnwgQw+So4QuQVQoD1OUCRGLqKgooUuQpehUWd3gRjQoV+7QBFSGGtfvLXQJokJ5mKJMiFj07k1jkQ8f16Ff73ygXLlDScrQxYg/hS5BVCgPU1LOJC8vD+3atUO7du1oKU4Z+PNP6Y5FMfvrKt0uiA9KyNVSPZbOAZUhKS+zyAfKw5SUM9HpdDh//rz+ayJttBQnP5SwZKQQlJCrpXosHQGVISkvs8gHysOUlDOxt7fHnj17sGfPHtjbS2+FGmKIluLkhxKWjBSCEnK1VI+lI6AWYLxUJt+8202z6PcTO8rDlJQzsbGxQd++fYUug3Bk2jTpjkUx+6YlHV/igxJytVSPlX+SCnTm4gqhSxAVysMUZULEYsUKGot8WHWFTk/hA+XKHToCKkNNGvYVugRRoTxMSTkTrVaLM2fOAAA6dOgAlUr+52TJGRdHWgqn0akYxj6pS8eX+KCEXC3VY+WfpALdfxghdAmiQnmYknIm+fn56Ny5Mzp37oz8/HyhyyFlFBEh3bEoZlce0ZE6PighV0v1WDoCKkMu5aoKXYKoUB6mpJyJlZUVGjVqpP+aSFvVqtIdi2JWxZneG3xQQq6W6rE0AZUha2v63/oyysOUlDNxcnLC9evXhS6DcMTGRrpjUcxs5D9PEoQScrVUj6WP4GUo48kdoUsQFcrDFGVCxOLOHRqLfEjMpCUj+UC5cof+9JShtzw7Cl2CqFAepiydCd+3IvvmBwUclpCpjh3p/cmH9jXo+BIfKFfuUJIyFBmzRegSRIXyMCXlTArVeVgT1ANrgnqgUE1LcUrdli3SHYtitj1O/hfLCEEJuebl5aF79+7o3r07LcVJSqdL+xlClyAqlIcpKWfCmA7xt4/rvybSNmOGdMeimH3bio4v8UGMuXJ9G7J8NcPx4+rnX//PFY7LCjl9/RfElyQpsxOh/kKXICqUhykpZ2Kjssfw/pswvP8m2Kjo/o9S5+8v3bEoZvPD6Y8zPighV3sVEPSRCkEfqWDP422W6QioDHX3ni10CaJCeZiSciYqlQ28mg4XugzCkdmzpTsWxWxmG1qggQ9KyNXG2gpDG/L/c9IRUBk6FuIndAmiQnmYokyIWPj50Vjkg3+YVugSZIly5Q4dAZWhls1HCV2CqFAepqSciU6nxf3kSABADY8WsLaW/xEJORs1SrpjUcx8GtHxJT4oIVetjuFK6vM7lzR35+8OI/JPUoESbp8QugRRoTxMSTkTtSYfS9e+h6Vr34NaQ0txSt2JE9Idi2J26p78z1UUghJyzdcC7TZr0G6zBvk8HvClI6AyVLni20KXICqUhykpZ2IFK7xR4U3910Ta3n5bumNRzOq9Qe8NPighVysAb5b/v6/5QhNQGVLTvRENUB6mpJyJnZ0TfphKq+fIBZ/3GVSyPI3QFciTEnJ1srVC/Hg73r8PfQQvQ7l56UKXICqUhynKhIhFejqNRT5k5NOSkXygXLlDE1AZqla1qdAliArlYYoyIWLRtCmNRT40qUy/3vlAuXKHkpSh2JsHhS5BVCgPU1LORK3Ox/otn2L9lk+hVtNFSFJ38KB0x6KY/XNb/hfLCEEJueZrGAbsVWPAXjXyNfwd8aVzQGXo/VYThC5BVCgPU1LORMe0uHZjn/5rIm0TJkh3LIrZF03p+BIflJCrlgEHbjH913yRf5IKdPr8YqFLEBXKw5SUM7FR2WHgJ2sx8JO1sFHxf6I84dfixdIdi2K2LEL+R+qEoIRc7ayB1d1VWN1dBTseZ4l0BFSGpLzMIh8oD1NSzkSlskXbluOFLoNwhJbi5IcSlowUghJytVVZYey7tBQnMQMts2iI8jBFmRCxoKU4+UFLRvKDcuUOHQGVobatvhC6BFGhPExJOROdTofUx3EAAPdKDWFtTX9HS9kXX0h3LIrZuHfpfcEHJeSqYww30p+f/NmgIi3FSUohJna30CWICuVhSsqZqDV5mL+yCeavbAK1hm5iLnW7d0t3LIrZ3gT5n6soBCXkmqcBmm/QoPkGDa833qcjoDJUq3oroUsQFcrDlNQzcXaqJHQJhCOtWkl7LIpVy6ryXzJSCErJtZIj/9+DJqAylJmVLHQJokJ5mJJyJvZ2zpj7v1ShyyAcSU6W7lgUs+QcoLnQRciQEnJ1trXCA19aipOYge6NaIjyMEWZELHQamks8kEr/0+KBUG5cocmoDLkVsFT6BJEhfIwRZkQsfD09BS6BFnydBW6AnmiXLlDE1AZun33jNAliArlYUrKmajV+fh7pw/+3ulDS3HKwJkz0h2LYnb2Po9L2CiYEnLN1zCMOqTBqEMaXpfipAmoDDVvMlToEkSF8jAl5Ux0TIvImC2IjNlCpxLIwNCh0h2LYja4Af1654MSctUyYNsNHbbd0NFSnKR0zoevFroEUaE8TEk5ExuVHfp8uBh9PlxMS3HKwOrV0h2LYrY2mk5W5IMScrWzBhZ4q7DAm5biJKUk5WUW+UB5mJJyJiqVLTq9P0XoMghHaClOfihhyUghKCFXW5UVvvaipTiJGWiZRUOUhynKhIgFLcXJD1oykh+UK3foCKgMdWjztdAliArlYUrKmeh0Ojx9dg8AUMG1Fi3FKXFffy3dsShmE5vT+4IPSshVxxjuZT7/ulZ5/r6P/JNUoPCoIKFLEBXKw5SUM1Fr8uC35C34LXmLluKUgaCgIKFLkKWN1+V/rqIQlJBrngao/6ca9f9U01KcpHTefqub0CWICuVhSuqZ2Nk6CV0C4Ui3btIei2LV9U06vsQHpeTqZIHZoTKSVJDMrGT8e+pnSS+1yCXKw5TUM7G3c8bvP2Tj9x+yYW/nLHQ5pAySk5Px888/03KcHEvOZvA7r0FytvzvWWlJSsnV2dYKTybb4clkOzjbWvH2fWgCKjOZWcmIvr5DspMLrlEepigTIhbJyckIDg6mCSjHUnIYdsYzpOTIe6JkaZQrt2gCSgghhBBCLIrOASWESIpGU4Bdh74CAPT/eCVsbOwFrogQQuSjQMMw5eTz200t7aICX8t90AQUwJK5dDidEKnQ6jS4GLEOANC351LYgCagYlc4rej/R+pHz68oVi95D4VV6AM5QsRAw4D1V5+/Nxd25u+G9JKagJ48eRJr1qyBu7s7bG1tsWDBAtjYSOpHIISUkcraFj27ztV/TbhB/ZUQAgC21sDP7VT6r/kime4SHR2NYcOG4dq1a6hUqRK+/vprTJ8+HUuWLBG6NEKIBdnY2KF7p++FLkNWqL8SQl6wU1nhfxZYclQyn3nMmjUL3bp1Q6VKlQAAw4YNw4oVK5CYmChsYYQQInHUXwkhliaJCWhmZiaOHj2KFi1a6Lc1a9YMjDHs3LlTwMoIIZbGGEN2Thqyc9LAGJ2/XVbUXwkhL2OMIS33+X989lhJfAR/5coVaDQaVKxYUb/NwcEB5cuXx5UrVwSsjBBiaYXqXPw4rwoAwH92Ft2MvoyovxJCXparAWoEqAEAGV/b8naZpyQmoKmpqQAANzc3g+0uLi54/PhxkfsmJyejSpUqxb62SqVCbo4kDgSXiFb7fND8sekjqFR0gQblYUrqmbz8F7n/svqwsrLCorWATqeDVqst9vkvesaLXqF0pemvL+9fmh5rnVVY5GOF/39Z7d67NbCTTxsWHOXKD6XkqnvpoGfjdWpY76rBS3+VxATUyur5UlCOjo4G27VaLWxtbU22Ac9/GSn5F0x2jnJ/9qJQHqbkkElm1kMAwLPM0j+3JM1UCUrTX19sB7jtsWm5nLwMMUK58kNJuSbnAMh5UOrnlaS/SmIC6uHhAQB49uyZwfbs7GxUrlzZYJuDgwPy8/NhbW1t8hd9UVQqFaytZfynDCEKUdK/0DMyMqDT6eDg4GCBqsSvNP0VoB5LiBLx0V8lMQFt2LAhbG1tDf7azs3NRWZmJlq3bm2wb05OjqXLI4QQySpNfwWoxxJCuCGJP0vd3Nzw0UcfISwsTL/t6tWrsLOzQ+/evQWsjBBCpI36KyFECFZMIvcxuXz5Mvr27Yv4+Hg4OTnB19cX5cqVw/z584UujRBCJI36KyHE0iRxBBQAWrZsiZUrV2Ls2LGYNGkS3Nzc8PvvvwtdligcPXoUU6dORUBAAGJjYwEAT548gY+PD6ZMmYIhQ4YgPj5e4Cotq6hMAOCbb76BlZWV/r9t27YJWCW//P39DX7WF/99++23AGiMkP8jRH993XuRMYbvv/8e48ePx/Dhw3HgwAFea5GTkydPYtCgQfjqq6/wzTffQKPRCF2SZBUUFMDDw0M/RitWrIjc3OdXIN29exeDBw/GN998Ax8fH6SkpAhcrfRI5ggoMcUYw7Rp05CVlYXVq1fr121mjKFDhw4YOXIkPv/8c0RGRuLTTz/FtWvX4OLiInDV/HpVJsDzCdeoUaPQpUsXAIC1tTV8fX1lu951x44d8dFHH6Fq1ar6bb/++iv++OMPeHt7K3aMEOEV916cNWsWEhMTsWXLFuTm5qJBgwbYvXs3WrZsKWTZohcdHY0PPvjAYElVlUpFS6qa6Y8//sCdO3f0txurX78+evbsidzcXLz77rtYvXo1evTogd27d8Pf3x9hYWFQqfhfwlI2GJGsWbNmsS5dujCNRmOwPTg4mNna2rLc3Fz9tvr167NffvnF0iVa3KsyYYwxPz8/Fh0dLUBVlnfjxg12/fp1g21ZWVmsWrVqTKPRKHqMEOG97r14//59Zmdnx44dO6bf9sUXX7AuXbpYqjzJ+uijj9jw4cP1/75w4QJTqVTszp07whUlUVqtlg0ZMqTIx+bPn8+qV6+u/7dGo2HOzs5s48aNlipPFiTzETwxdPHiRSxYsAB//fWXyV9cO3fuRIMGDQzu6+fl5YXt27dbukyLel0m+fn5WL58OYYOHYo5c+YgM9OMG0dKSP369dGoUSODbUeOHEH37t2hUqkUO0aI8Ip7L+7fvx+FhYUGS4N6eXnh1KlTir63c3FoSVVu7dmzB/v27UP37t2xe/dug8d27txpkLNKpULTpk2pf5YSTUAlau7cuWjdujWCgoLQrVs3tGvXDidPngQAhIeHGyyrBwDu7u6Ii4tDQUGBEOVaxOsyiY2Nhbe3N9RqNX7++We8++67SEhIELhiy9q3bx8+/fRTAModI0R4xb0Xw8PDYW1tjTfeeEO/zd3dHYwxREdHC1GyJNCSqty6f/8+vL29ER4ejv79+2PEiBH6e2FGREQU2T8p59KhCagE5eTk4NixY6hWrRomT56Mw4cPo3r16vjoo49w584dpKamFrmsnk6nQ0ZGhkBV86u4TFq0aIHt27cjPj4ee/bswdOnTzFw4ECDZR3lTKPRICQkBD169AAARY4RIg7FvRdTU1NRoUIF/QpNAPTnJRe1NCh5rrRLqpLXmzx5Mv755x88fPgQvr6++Pvvv7F06VJkZGRAq9VSzhygCagE3b59G4WFhRg8eDBcXV1ha2uLX3/9FQUFBVixYgWsrKyKXFYPQJFL68lBcZm8rG/fvggODkZ0dDQuXLggUMWWdebMGbRq1Uo/LpQ4Rgj/Jk2ahPbt27/2v5cV9V6ksWme0i6pSkrG2dkZq1atwtChQ7FmzRrKmUPyvPxX5rKzswEA5cqV02+rV68eatasifj4eHh4eBS5rJ5KpSrR0nlSVFwmxnr06AEvLy8kJibi/ffft1idQtm3bx/69u2r/7cSxwjhn/EfeyVh/F708PDA6dOnDfZ58f4uamlQ8lxpl1QlpTNr1iy0aNECFStWhJ2dHeXMAToCKkE1atQAAJOPSqtUqQI3Nzc0bdrU5GT9lJQUeHl5yXZN5uIyKcpbb72lf57c/fPPP+jVq5f+30ocI0S8Xn4vNm3aFNnZ2fr7LQLPx6aNjY3BhR/EUGmXVCWl82KMWllZoUmTJkX2T8q5dOg3jQTVrFkT7777rsnHxxkZGejatSt8fHwQHR1tcDFJTEwMBgwYYOlSLaa4TIxptVrk5eUp4uhnTEwMatasaTARV+IYIeJk/F4cPHgwbG1tcfHiRf0+MTEx6NGjB92j9jVoSVV+Xb58GWPGjAHwvH++nLNGo0FcXBz1z9IS9i5QxFyHDx9mlSpVYmlpaYwxxi5dusQaN27MCgsLmUajYV5eXmzXrl2MMcYuXrzIateuzbKzs4UsmXevy2TOnDnsl19+YXl5eaygoIB999137Ny5cwJXbBm//PILW7FihcE2pY4RIrySvBcnT57MJk2axBhjLDMzk7355pssIiJCiHIl5dKlS6x69eosJyeHMcbYhAkT2PTp0wWuSnqePHnC+vbtq78X7X///cdGjx7NCgoKGGPPx2TNmjX1Y3L79u3svffeY1qtVrCapYhWQpKw4OBgbN++Hc2aNcO9e/fw008/6T/GevjwIaZOnYpatWohOTkZv/zyC2rXri1wxfx7VSbLly/HTz/9BEdHR3To0AFz5sxBw4YNhS7XIlq1aoU9e/aYnG6g1DFChFWS96JarcbUqVNhZWWFJ0+eYPTo0UV+kkFM7d27F9u3b0elSpXg6uqKX375hU6rKaX8/Hx88sknCA0NRaNGjfDRRx/hhx9+gL29vX6fuLg4/Pjjj/D09ER6ejoWLFhgcmsm8no0ASWEEEIIIRZFfxYRQgghhBCLogkoIYQQQgixKJqAEkIIIYQQi6IJKCGEEEIIsSiagBJCCCGEEIuiCSghhBBCCLEomoASQgghhBCLogkoIYQQQgixKJqAEkIIIYQQi6IJKCGEEEIIsSiagErU+fPnMWzYMFhZWaFWrVr46KOP0LhxY3zyySe4cuVKmV47PDwcbm5uuH//PkfVCsdSPwtjDAMGDDDZ/ueff8LDwwNWVlbo2LEjLl68aPD4iRMnUKdOHbi7u2Pfvn281ggA8fHxmDt3Lu/fhxChbd++HcHBwUKXUWpy6r+lYemf+1U9G6C+bTGMSNb169cZABYYGMgYYywrK4u1bt2alStXjsXGxpr9uvfu3WNDhw5lWVlZXJUqGEv9LP/++y8DwC5dumTy2M6dOxkANn/+/CKfO3HiRLZz505e63vBz8+PxcXFWeR7ESKkzp07s+7duwtdRqnJqf++TkxMjMG/Lf1zv65nM0Z92xJoAiphd+7cMZiAMsbYwYMHGQD2xRdfCFiZ8vTv3585OjoWmbtGo2HVq1dnbdu2LfK53t7eTKvV8l0iY4yx4cOHW+T7ECKkmzdvsgoVKjBra2uWmJgodDnEyNOnT9mgQYMEreF1PZsx6tuWQB/By0zdunUBAElJSQJXohz379+HTqfDgAEDsHXrVuTm5ho8rlKpMG7cOFy4cAHXrl0zeOz06dPo2LEjrK35fysmJCTg7bff5v37ECK0wMBAbN26FVZWVli3bp3Q5ZCX5OfnY9iwYXj06JFgNRTXswHq25ZAE1CZuXPnDgCgQYMGAIC8vDzMmTMHvr6+aNasGT777DNkZmYiIiICY8aMQc+ePbF9+3a4ubnh999/x5MnT7BgwQLUrl0biYmJAIDjx49j6NChmDlzJpo3b44VK1bov9+ZM2cwZMgQfP7559ixYweqV6+OmjVrIigoSL/P2rVrMWPGDIwfPx729vY4ePDga2sryqvqfV19Rf0sXNXzsj/++APjx4/HmDFjkJmZiZ07d5rsM378eKhUKqxdu9Zge1BQED777LNiv4dxFp999hl69uyJq1evokOHDnBxccH3338PtVqNb775BuXLl0ezZs0M/hDZsWMHBg4cWGwOhEhZYWEhbt++jQ8//BC9evXCX3/9BZ1OZ7BPSfpWQUEBZs6cienTp6NXr14YMGAAHj58qH+cj75Y2p5VFI1Ggx9++AGTJk1C3759MXjwYDx79qzYn+lVPfZV24vrl6+qY+PGjfjvv/8QHx+PL7/8EocPHy7y5y4u/5f7YEREBJo3bw5XV1esX7++2DFSkp4NcNe3ze3ZgMz7ttCHYIn5jD+Cf/bsGXvvvfdYhQoVWFJSEmOMsa+++ordv3+fMcZYRkYGq1y5Mhs7diyLjY1lLVu2ZG+99RZbt24dmzVrFgsODmaPHj1i/v7+DAC7c+cOy83NZU5OTuzff/9ljDG2du1aZm1tzTIzMxljjF29epW9+eabrGXLlmzZsmUsIiKCderUiVlbW7Po6GiWlJTEWrZsqa956dKl7MCBA6+trSivqvd19Rn/LIwxzup5Qa1Ws3bt2jGtVst0Oh2rU6cO69ChQ5H79unTh7m6urKcnBzGGGOZmZmsd+/er339osTHxzMvLy9Wr149FhQUxB49esRmzpzJALD//e9/LDw8nN25c4fVqFGD+fr66p/38sc4r8uBECnbsmUL27ZtG2OMscOHDzMA7NChQwb7FNe3GGNs8ODBbOXKlfrn9O/fnzVu3Jip1Wre+mJpe1ZRxo8fz37++WfGGGPZ2dnMycmJTZo0qdif6VU99lXbi+uXr6tj1KhRrFOnTvp9i/q5X1crY8/PGW3fvj2rXbs2W7lyJUtOTmajR49m5cuXZxqN5pX5lKZnM8ZN3za3ZzMm775NE1AJezEB/fTTT9mPP/7IBg8ezKZMmaKffCYmJrI333yT+fv76//r168f8/HxYYwxNmLECNasWTOT1z1+/Li+EajVajZ69Gj2+PFjxhhj+/btYwDY3bt39ft37NjR4HyemzdvMmtrazZp0iQWERHBbGxs2JYtWxhjz8/9uXLlSrG1FaWoeour7+WfhTHGaT2MMRYcHMzmzZun//fcuXMZAHbz5k2TfV/8Mly3bh1jjLHAwED2999/v/b1X2X48OEGDTw2NpYBYKdOndJvGzJkCOvWrRtjjLGEhAQ2Z84c/WOvyoEQqRsyZAgrLCxkjDGm0+lY7dq1Wd++fU32e13fiomJYQDYw4cP9Y9HRkYyACwoKIi3vshYyXtWUW7fvs2srKz0vwMYY2zHjh3swoULxf5MjL36d4Lx9uL65evqYMx0Amr8c5ek1hd1vTx5fHENxIMHD4rMh7HS9WzGuOvbpe3ZjMm/b9MEVMKKugjpZYcOHWL169d/5fOLagKMMXbq1CmDBsgYY+fPn2czZ85kvr6+Jo916tSJjRo1yuA1atWqxT766COm0+nYp59+ygCwNm3a6N9sxdVWmnpfV5/xz8JlPYwx9uGHH7K0tDT9v+/du8esra3Zd999Z7Lvi1+GrVq1Yowx1rNnT5abm1vq78mYaRYvxsLLzezlfX777Td2/fp1g1qKyoEQKbtx4wZr2rQpGzVqlP6/5s2bMxsbG5aSkmKw7+v61rJlyxgA/VEvxhjTarXMxsaGTZw4Ub+N677IWMl7VlGCg4MZgCL7Skl+plf1WOPtxfXL19Xxqu/z8s9d0vyNX6eo313GStOzGeOub5e2ZzMm/75N54DKWEFBARITE5GRkWGw/fHjx6V6ncmTJ2P37t2YO3euwbkor+Pu7g57e3tYWVlh9+7d2Lp1K1JSUtC5c2f8+eefnNVW2vq4rOfGjRuoVKkSKlWqpN9Ws2ZNdOvWDRs2bIBGozH53p9//jkuXbqErVu3wtPTE46OjqX+ec1x/fp1NGrUyKCWonIgRMoCAwOxa9cuBAUF6f/bu3cvtFqtwfmXr/KibzHGAMDgQhlra2tUrlwZtra2APjpi0Upzb729vYAnt838mVZWVkl+plKqrh++bo6SoLLWl9W2p4NUN/mE01AZaxRo0YoKCjAr7/+arC9NFeFHj9+HMuXL8ecOXOgUqleuZ9WqzX4d0pKCtq1a4fr168jPj4eQ4YMwfXr19G1a1csX76ck9pKU98LXNYTEBCAL7/80mT7mDFjkJKSgkOHDhX5mJ2dHcaNG1fqi4/MdevWLf3dEV54VQ6ESFV+fj7+++8/1KlTx2B7rVq10LFjR6xbt04/sXnhVX2rdevWAICQkBD9Y4wxZGRkoEuXLrz1xaKUZt/GjRsDANasWWNQ94YNG4r9mUqjuH75ujqA5xOp1+Gy1peZ07NfPE59m3s0AZWwvLw8ACjyFhIAUL9+fXz66adYvHgxhg8fjjVr1qBfv37w8vICAOh0OhQUFJg870XT1Gq1yM/PBwBs3LgRMTEx+OuvvwAAV69eRXR0tP45169f1zf3M2fOQKvVYuzYscjKysL8+fMBAE5OTujVqxfefvvtYmsrSlH1Flffyz8LAM7qyc3NRVRUFNq1a2fyWN++feHm5lbk5NXd3R2ffvop3nrrLbRq1crk8YKCArRp0wYDBgww+WX5Mq1Wa/DL7cVVvi9f7csYg1arNbmK8nU5ECJVGzZsQPv27Yt8rFevXkhISMDhw4cNtr+qb7Vt2xbdu3fHsmXL9D3mwIEDaN68OT7++GPe+iKAEvesotSpUwcDBgzA2rVrMWXKFGzevBkDBgzAu+++W+zPBLz6d4Lx9uL65evqAABnZ2fcvXsXT548wdGjR01+7pLUCgBqtdrkDgcvv9bLzO3ZADd9uzQ9GzC9+h2QYd+2/Kf+hAvnzp1jQ4cOZQBY06ZN2bZt25hOpzPZ78mTJ8zHx4c5Ozuz2rVrsw0bNjDGGPvnn39Y9erVma2tLVu0aJH+qsF79+6xwYMHMwDs66+/ZikpKaxXr17MxcWFDRs2jMXGxjI3Nzfm4+OjvxqxU6dOrHnz5uzrr79m//vf/1jfvn3ZtWvXGGOMXbhwgQFgXbt2Zd9//z0bPXo0S05Ofm1tRXlVvYWFha+sz/hnefz4MWf1/Pnnn+zNN99kH3zwQZH/VapUialUKoOT6F84deoUW7x4cZGvm5eXxzw9PVnVqlVZZGRkkfscP36cVa9enZUvX55t3bqVPXz4kE2cOJEBYEOHDmXx8fFs3759rGbNmszFxYU5OTmZvMbrciBEarZu3crc3NxYu3bt2NmzZw0eu3btGuvSpQsDwGrWrKm/Qv51fYux51d2jxgxgrVp04b5+vqyCRMmsIyMDMbY6/tOWfpiaXtWUZ4+fcqGDh3KnJyc2Ntvv8127NhRop/pVT32VduL65evqyMyMpJVq1aNvffeeywlJaXIn/t1tTL2vA9Wq1aNubi4sK1bt7Lbt28zHx8f/WukpqYa1FOWns1Y2fp2aXt2cHBwkTefl1vftmLsNYdZCCkBb29veHp6lugcK1IyCxcuxMCBA/Hmm28KXQohssR336K+qDzUt0uHPoInRGRerNJBTYwQQqSB+nbp0QSUlJlGo4FarRa6DFnIzs5GZGQkpk+fLnQphMga332L+qJyUN82D01Aidm0Wi3Wrl2L6OhonDx5Evv37xe6JMkrV64cPvnkk2KvEiWEmIfvvkV9UXmob5uHzgElhBBCCCEWRUdACSGEEEKIRdEElBBCCCGEWBRNQAkhhBBCiEXRBJQQQgghhFgUTUAJIYQQQohF0QSUEEIIIYRYFE1ACSGEEEKIRdEElBBCCCGEWBRNQAkhhBBCiEXRBJQQQgghhFgUTUAJIYQQQohF/T+ydxCgJaMXJAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize = (6.75, 3.5))\n", "plt.rc('font',family='Times New Roman')\n", "params = {'mathtext.default': 'regular' }\n", "plt.rcParams.update(params)\n", "\n", "fig.tight_layout()\n", "plt.subplots_adjust(wspace=0.30)\n", "\n", "\n", "axes[0].hist(u1, bins=10, color='xkcd:periwinkle')\n", "axes[0].axvline(x=np.percentile(u1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n", "axes[0].set_xlabel('Periapse raise '+r'$\\Delta V$'+', m/s', fontsize=12)\n", "axes[0].set_ylabel('Number of cases', fontsize=12)\n", "axes[0].tick_params(direction='in')\n", "axes[0].yaxis.set_ticks_position('both')\n", "axes[0].xaxis.set_ticks_position('both')\n", "axes[0].tick_params(axis='x',labelsize=12)\n", "axes[0].tick_params(axis='y',labelsize=12)\n", "\n", "axes[1].hist(v1, bins=10, color='xkcd:orange')\n", "axes[1].axvline(x=np.percentile(v1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n", "axes[1].set_xlabel('Apoapsis correction '+r'$\\Delta V$'+', m/s', fontsize=12)\n", "axes[1].set_ylabel('Number of cases', fontsize=12)\n", "axes[1].tick_params(direction='in')\n", "axes[1].yaxis.set_ticks_position('both')\n", "axes[1].xaxis.set_ticks_position('both')\n", "axes[1].tick_params(axis='x',labelsize=12)\n", "axes[1].tick_params(axis='y',labelsize=12)\n", "\n", "\n", "\n", "for ax in axes:\n", " ax.xaxis.set_tick_params(direction='in', which='both')\n", " ax.yaxis.set_tick_params(direction='in', which='both')\n", " ax.xaxis.set_tick_params(width=1, length=8)\n", " ax.yaxis.set_tick_params(width=1, length=8)\n", " ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", " ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", "\n", " for axis in ['top', 'bottom', 'left', 'right']:\n", " ax.spines[axis].set_linewidth(2)\n", " \n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XD.png', dpi= 300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XD.pdf', dpi=300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XD.eps', dpi=300,bbox_inches='tight')\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "id": "08cefff7", "metadata": {}, "outputs": [], "source": [ "def percent_between(a, lower, upper, closed_left=True, closed_right=True):\n", " \"\"\"\n", " Finds the percentage of values between a range for a numpy array\n", "\n", " Parameters\n", " ----------\n", " a: np.ndarray\n", " numpy array to calculate percentage\n", " lower: int, float\n", " lower bound\n", " upper: int, float\n", " upper bound\n", " closed_left:\n", " closed left bound ( > vs >= )\n", " closed_right:\n", " closed right bound ( < vs <= )\n", " \"\"\"\n", " l = np.greater if not closed_left else np.greater_equal\n", " r = np.less if not closed_right else np.less_equal\n", "\n", " c = l(a, lower) & r(a, upper)\n", " return np.count_nonzero(c) / float(a.size)" ] }, { "cell_type": "code", "execution_count": 5, "id": "6dc3e087", "metadata": {}, "outputs": [], "source": [ "p1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD/terminal_periapsis_arr.txt')\n", "x1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD/terminal_apoapsis_arr.txt')\n", "y1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD/acc_net_g_max_arr.txt')\n", "z1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD/q_stag_max_arr.txt')\n", "h1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD/heatload_max_arr.txt')\n", "u1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD/periapsis_raise_DV_arr.txt')\n", "v1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXD/apoapsis_raise_DV_arr.txt')" ] }, { "cell_type": "code", "execution_count": 6, "id": "632ba658", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "percent_between(x1, -3e9, 0)" ] }, { "cell_type": "code", "execution_count": 7, "id": "34c7a258", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.79" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "percent_between(x1, 500e3, 600e3)" ] }, { "cell_type": "code", "execution_count": 8, "id": "750d57ed", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "percent_between(x1, 450e3, 650e3)" ] }, { "cell_type": "code", "execution_count": 9, "id": "b11149fd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "percent_between(x1, 350e3, 750e3)" ] }, { "cell_type": "code", "execution_count": null, "id": "a3a67a1c", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }