{ "cells": [ { "cell_type": "markdown", "id": "05a0b4f5", "metadata": {}, "source": [ "# Section 08 - Performance Analysis" ] }, { "cell_type": "code", "execution_count": 7, "id": "2fd5ec76", "metadata": {}, "outputs": [], "source": [ "from AMAT.planet import Planet\n", "from AMAT.vehicle import Vehicle" ] }, { "cell_type": "code", "execution_count": 8, "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": 6, "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": 7, "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": 8, "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)" ] }, { "cell_type": "markdown", "id": "75cd9087", "metadata": {}, "source": [ "## Small run N = 100" ] }, { "cell_type": "code", "execution_count": 9, "id": "dc11080e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RUN #: 1, SAMPLE #: 190, EFPA: -11.85, SIGMA: 0.45, LD: 0.25, APO : 510506.90\n", "RUN #: 2, SAMPLE #: 73, EFPA: -11.46, SIGMA: 0.62, LD: 0.24, APO : 465139.82\n", "RUN #: 3, SAMPLE #: 86, EFPA: -11.59, SIGMA: -1.18, LD: 0.23, APO : 544976.68\n", "RUN #: 4, SAMPLE #: 3, EFPA: -11.74, SIGMA: -0.25, LD: 0.23, APO : 536170.62\n", "RUN #: 5, SAMPLE #: 155, EFPA: -11.50, SIGMA: -0.03, LD: 0.25, APO : 492317.60\n", "RUN #: 6, SAMPLE #: 110, EFPA: -11.59, SIGMA: 1.21, LD: 0.24, APO : 529249.56\n", "RUN #: 7, SAMPLE #: 199, EFPA: -11.67, SIGMA: 0.37, LD: 0.26, APO : 522288.53\n", "RUN #: 8, SAMPLE #: 177, EFPA: -11.77, SIGMA: 0.10, LD: 0.26, APO : 540324.29\n", "RUN #: 9, SAMPLE #: 166, EFPA: -11.74, SIGMA: 0.91, LD: 0.24, APO : 492239.14\n", "RUN #: 10, SAMPLE #: 83, EFPA: -11.51, SIGMA: -0.59, LD: 0.26, APO : 463737.68\n", "RUN #: 11, SAMPLE #: 99, EFPA: -11.78, SIGMA: -1.13, LD: 0.24, APO : 470871.92\n", "RUN #: 12, SAMPLE #: 108, EFPA: -11.73, SIGMA: 0.92, LD: 0.24, APO : 542551.49\n", "RUN #: 13, SAMPLE #: 126, EFPA: -11.63, SIGMA: 0.91, LD: 0.26, APO : 508812.16\n", "RUN #: 14, SAMPLE #: 39, EFPA: -11.57, SIGMA: 0.85, LD: 0.21, APO : 508994.41\n", "RUN #: 15, SAMPLE #: 134, EFPA: -11.76, SIGMA: 0.13, LD: 0.23, APO : 546330.85\n", "RUN #: 16, SAMPLE #: 153, EFPA: -11.84, SIGMA: -0.08, LD: 0.25, APO : 544739.75\n", "RUN #: 17, SAMPLE #: 147, EFPA: -11.64, SIGMA: 0.31, LD: 0.22, APO : 506077.82\n", "RUN #: 18, SAMPLE #: 184, EFPA: -11.68, SIGMA: 0.22, LD: 0.24, APO : 547867.60\n", "RUN #: 19, SAMPLE #: 142, EFPA: -11.79, SIGMA: 1.24, LD: 0.26, APO : 523547.18\n", "RUN #: 20, SAMPLE #: 143, EFPA: -11.59, SIGMA: 0.36, LD: 0.25, APO : 574786.81\n", "RUN #: 21, SAMPLE #: 112, EFPA: -11.89, SIGMA: 0.53, LD: 0.22, APO : 496569.53\n", "RUN #: 22, SAMPLE #: 81, EFPA: -11.73, SIGMA: -0.63, LD: 0.25, APO : 602529.42\n", "RUN #: 23, SAMPLE #: 181, EFPA: -11.72, SIGMA: 1.28, LD: 0.24, APO : 531759.88\n", "RUN #: 24, SAMPLE #: 104, EFPA: -11.63, SIGMA: 2.22, LD: 0.25, APO : 549642.46\n", "RUN #: 25, SAMPLE #: 64, EFPA: -11.71, SIGMA: 0.34, LD: 0.22, APO : 525983.92\n", "RUN #: 26, SAMPLE #: 12, EFPA: -11.68, SIGMA: -0.45, LD: 0.23, APO : 517945.38\n", "RUN #: 27, SAMPLE #: 173, EFPA: -11.68, SIGMA: 1.04, LD: 0.26, APO : 533137.20\n", "RUN #: 28, SAMPLE #: 89, EFPA: -11.90, SIGMA: -0.54, LD: 0.25, APO : 570118.26\n", "RUN #: 29, SAMPLE #: 2, EFPA: -11.53, SIGMA: 1.45, LD: 0.24, APO : 534110.46\n", "RUN #: 30, SAMPLE #: 7, EFPA: -11.68, SIGMA: 1.20, LD: 0.24, APO : 492384.47\n", "RUN #: 31, SAMPLE #: 27, EFPA: -11.63, SIGMA: 0.29, LD: 0.25, APO : 484723.59\n", "RUN #: 32, SAMPLE #: 144, EFPA: -11.74, SIGMA: -0.51, LD: 0.24, APO : 554503.01\n", "RUN #: 33, SAMPLE #: 182, EFPA: -11.65, SIGMA: 1.63, LD: 0.21, APO : 562402.87\n", "RUN #: 34, SAMPLE #: 61, EFPA: -11.55, SIGMA: 0.32, LD: 0.24, APO : 538244.31\n", "RUN #: 35, SAMPLE #: 140, EFPA: -11.87, SIGMA: 0.41, LD: 0.24, APO : 527836.89\n", "RUN #: 36, SAMPLE #: 146, EFPA: -11.79, SIGMA: 0.87, LD: 0.24, APO : 517958.21\n", "RUN #: 37, SAMPLE #: 110, EFPA: -11.68, SIGMA: -1.83, LD: 0.24, APO : 492572.60\n", "RUN #: 38, SAMPLE #: 143, EFPA: -11.58, SIGMA: 0.07, LD: 0.24, APO : 570917.77\n", "RUN #: 39, SAMPLE #: 147, EFPA: -11.54, SIGMA: 1.31, LD: 0.24, APO : 544505.80\n", "RUN #: 40, SAMPLE #: 197, EFPA: -11.69, SIGMA: 0.32, LD: 0.23, APO : 528213.01\n", "RUN #: 41, SAMPLE #: 171, EFPA: -11.63, SIGMA: -1.85, LD: 0.23, APO : 480542.98\n", "RUN #: 42, SAMPLE #: 59, EFPA: -11.59, SIGMA: 0.18, LD: 0.22, APO : 496784.46\n", "RUN #: 43, SAMPLE #: 18, EFPA: -11.65, SIGMA: -0.66, LD: 0.24, APO : 504758.61\n", "RUN #: 44, SAMPLE #: 168, EFPA: -11.63, SIGMA: 1.34, LD: 0.22, APO : 531863.87\n", "RUN #: 45, SAMPLE #: 114, EFPA: -11.70, SIGMA: 0.59, LD: 0.27, APO : 528354.69\n", "RUN #: 46, SAMPLE #: 18, EFPA: -11.65, SIGMA: -1.02, LD: 0.22, APO : 507388.25\n", "RUN #: 47, SAMPLE #: 72, EFPA: -11.78, SIGMA: -0.36, LD: 0.26, APO : 572567.61\n", "RUN #: 48, SAMPLE #: 128, EFPA: -11.72, SIGMA: -0.96, LD: 0.25, APO : 525557.51\n", "RUN #: 49, SAMPLE #: 36, EFPA: -11.78, SIGMA: 1.32, LD: 0.27, APO : 540054.16\n", "RUN #: 50, SAMPLE #: 43, EFPA: -11.70, SIGMA: 0.05, LD: 0.22, APO : 460287.34\n", "RUN #: 51, SAMPLE #: 197, EFPA: -11.62, SIGMA: -0.75, LD: 0.24, APO : 514034.21\n", "RUN #: 52, SAMPLE #: 42, EFPA: -11.76, SIGMA: -0.83, LD: 0.25, APO : 498574.42\n", "RUN #: 53, SAMPLE #: 46, EFPA: -11.65, SIGMA: 2.13, LD: 0.24, APO : 566846.32\n", "RUN #: 54, SAMPLE #: 128, EFPA: -11.80, SIGMA: 0.43, LD: 0.24, APO : 525392.86\n", "RUN #: 55, SAMPLE #: 21, EFPA: -11.78, SIGMA: -0.57, LD: 0.24, APO : 511482.33\n", "RUN #: 56, SAMPLE #: 23, EFPA: -11.61, SIGMA: 0.82, LD: 0.24, APO : 499601.24\n", "RUN #: 57, SAMPLE #: 184, EFPA: -11.82, SIGMA: 0.25, LD: 0.23, APO : 499599.26\n", "RUN #: 58, SAMPLE #: 4, EFPA: -11.72, SIGMA: 0.32, LD: 0.24, APO : 515233.00\n", "RUN #: 59, SAMPLE #: 60, EFPA: -11.71, SIGMA: 0.59, LD: 0.25, APO : 508129.67\n", "RUN #: 60, SAMPLE #: 109, EFPA: -11.59, SIGMA: -0.29, LD: 0.27, APO : 489226.85\n", "RUN #: 61, SAMPLE #: 95, EFPA: -11.81, SIGMA: -0.69, LD: 0.26, APO : 476709.75\n", "RUN #: 62, SAMPLE #: 176, EFPA: -11.74, SIGMA: 0.31, LD: 0.22, APO : 534106.83\n", "RUN #: 63, SAMPLE #: 111, EFPA: -11.49, SIGMA: 0.55, LD: 0.25, APO : 507653.04\n", "RUN #: 64, SAMPLE #: 194, EFPA: -11.85, SIGMA: 0.36, LD: 0.25, APO : 517941.04\n", "RUN #: 65, SAMPLE #: 95, EFPA: -11.85, SIGMA: 1.85, LD: 0.23, APO : 518139.18\n", "RUN #: 66, SAMPLE #: 32, EFPA: -11.64, SIGMA: 0.33, LD: 0.22, APO : 528945.71\n", "RUN #: 67, SAMPLE #: 37, EFPA: -11.84, SIGMA: -1.15, LD: 0.25, APO : 546202.23\n", "RUN #: 68, SAMPLE #: 158, EFPA: -11.75, SIGMA: 1.65, LD: 0.25, APO : 532350.02\n", "RUN #: 69, SAMPLE #: 122, EFPA: -11.64, SIGMA: -1.24, LD: 0.21, APO : 544954.64\n", "RUN #: 70, SAMPLE #: 4, EFPA: -11.61, SIGMA: -1.67, LD: 0.26, APO : 523790.15\n", "RUN #: 71, SAMPLE #: 71, EFPA: -11.69, SIGMA: 1.70, LD: 0.25, APO : 582421.67\n", "RUN #: 72, SAMPLE #: 19, EFPA: -11.71, SIGMA: -0.07, LD: 0.24, APO : 548126.33\n", "RUN #: 73, SAMPLE #: 167, EFPA: -11.77, SIGMA: -0.82, LD: 0.24, APO : 522176.80\n", "RUN #: 74, SAMPLE #: 97, EFPA: -11.56, SIGMA: 1.52, LD: 0.24, APO : 583125.00\n", "RUN #: 75, SAMPLE #: 75, EFPA: -11.48, SIGMA: -0.77, LD: 0.25, APO : 513578.76\n", "RUN #: 76, SAMPLE #: 39, EFPA: -11.65, SIGMA: -0.55, LD: 0.22, APO : 481964.62\n", "RUN #: 77, SAMPLE #: 74, EFPA: -11.80, SIGMA: -0.13, LD: 0.24, APO : 524390.82\n", "RUN #: 78, SAMPLE #: 63, EFPA: -12.00, SIGMA: 2.23, LD: 0.26, APO : 347935.73\n", "RUN #: 79, SAMPLE #: 120, EFPA: -11.72, SIGMA: 0.04, LD: 0.22, APO : 551329.59\n", "RUN #: 80, SAMPLE #: 188, EFPA: -11.63, SIGMA: 0.29, LD: 0.24, APO : 492592.05\n", "RUN #: 81, SAMPLE #: 61, EFPA: -11.80, SIGMA: 0.04, LD: 0.25, APO : 489985.77\n", "RUN #: 82, SAMPLE #: 148, EFPA: -11.72, SIGMA: 1.11, LD: 0.25, APO : 463367.51\n", "RUN #: 83, SAMPLE #: 95, EFPA: -11.81, SIGMA: 0.44, LD: 0.23, APO : 486797.23\n", "RUN #: 84, SAMPLE #: 145, EFPA: -11.70, SIGMA: 1.08, LD: 0.25, APO : 517092.50\n", "RUN #: 85, SAMPLE #: 169, EFPA: -11.61, SIGMA: -1.85, LD: 0.25, APO : 471696.18\n", "RUN #: 86, SAMPLE #: 82, EFPA: -11.78, SIGMA: 0.47, LD: 0.24, APO : 553695.03\n", "RUN #: 87, SAMPLE #: 195, EFPA: -11.66, SIGMA: 2.04, LD: 0.24, APO : 506708.57\n", "RUN #: 88, SAMPLE #: 79, EFPA: -11.66, SIGMA: -0.20, LD: 0.23, APO : 549320.06\n", "RUN #: 89, SAMPLE #: 134, EFPA: -11.78, SIGMA: 0.19, LD: 0.24, APO : 500674.51\n", "RUN #: 90, SAMPLE #: 9, EFPA: -11.68, SIGMA: -0.74, LD: 0.22, APO : 553652.39\n", "RUN #: 91, SAMPLE #: 50, EFPA: -11.75, SIGMA: 0.36, LD: 0.25, APO : 546134.76\n", "RUN #: 92, SAMPLE #: 124, EFPA: -11.79, SIGMA: -1.75, LD: 0.21, APO : 519881.03\n", "RUN #: 93, SAMPLE #: 48, EFPA: -11.82, SIGMA: -0.00, LD: 0.21, APO : 526352.46\n", "RUN #: 94, SAMPLE #: 166, EFPA: -11.86, SIGMA: 1.50, LD: 0.23, APO : 494069.70\n", "RUN #: 95, SAMPLE #: 97, EFPA: -11.60, SIGMA: 0.71, LD: 0.28, APO : 556518.77\n", "RUN #: 96, SAMPLE #: 40, EFPA: -11.67, SIGMA: -0.34, LD: 0.23, APO : 507922.31\n", "RUN #: 97, SAMPLE #: 195, EFPA: -11.79, SIGMA: 0.28, LD: 0.24, APO : 500203.26\n", "RUN #: 98, SAMPLE #: 132, EFPA: -11.63, SIGMA: 0.78, LD: 0.24, APO : 500503.30\n", "RUN #: 99, SAMPLE #: 119, EFPA: -11.54, SIGMA: 0.28, LD: 0.25, APO : 559653.70\n", "RUN #: 100, SAMPLE #: 137, EFPA: -11.74, SIGMA: -0.10, LD: 0.23, APO : 521209.20\n" ] } ], "source": [ "vehicle.runMonteCarlo2(100, '../../../data/acta-astronautica/uranus-orbiter-probe/MCBX2')" ] }, { "cell_type": "code", "execution_count": 10, "id": "b3d05933", "metadata": {}, "outputs": [], "source": [ "p1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBX2/terminal_periapsis_arr.txt')\n", "x1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBX2/terminal_apoapsis_arr.txt')\n", "y1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBX2/acc_net_g_max_arr.txt')\n", "z1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBX2/q_stag_max_arr.txt')\n", "h1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBX2/heatload_max_arr.txt')\n", "u1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBX2/periapsis_raise_DV_arr.txt')\n", "v1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBX2/apoapsis_raise_DV_arr.txt')" ] }, { "cell_type": "code", "execution_count": 11, "id": "f84dc956", "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=10)\n", "axes[0].set_ylabel('Number of cases', fontsize=10)\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=10)\n", "axes[0].tick_params(axis='y',labelsize=10)\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=10)\n", "axes[1].set_ylabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=10)\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=10)\n", "axes[1].tick_params(axis='y',labelsize=10)\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": 12, "id": "5f7ce102", "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", "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].set_xlabel('Peak deceleration, Earth g', fontsize=10)\n", "axes[0].set_ylabel('Peak stagnation-point heat rate, '+r'$W/cm^2$', fontsize=10)\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=10)\n", "axes[0].tick_params(axis='y',labelsize=10)\n", "\n", "axes[1].plot(z1, h1, 'go', markersize=5, mfc='None')\n", "axes[1].set_xlabel('Peak stagnation-point heat rate, '+r'$W/cm^2$', fontsize=10)\n", "axes[1].set_ylabel('Peak stagnation-point heat load, '+r'$kJ/cm^2$', fontsize=10)\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=10)\n", "axes[1].tick_params(axis='y',labelsize=10)\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.show()" ] }, { "cell_type": "code", "execution_count": 13, "id": "4a531cf6", "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", "fig.tight_layout()\n", "plt.subplots_adjust(wspace=0.30)\n", "\n", "axes[0].hist(u1, bins=10, color='xkcd:periwinkle')\n", "axes[0].set_xlabel('Periapse raise '+r'$\\Delta V$'+', m/s', fontsize=10)\n", "axes[0].set_ylabel('Number of cases', fontsize=10)\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=10)\n", "axes[0].tick_params(axis='y',labelsize=10)\n", "\n", "axes[1].hist(np.abs(v1), bins=10, color='xkcd:orange')\n", "axes[1].set_xlabel('Apoapsis correction '+r'$\\Delta V$'+', m/s', fontsize=10)\n", "axes[1].set_ylabel('Number of cases', fontsize=10)\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=10)\n", "axes[1].tick_params(axis='y',labelsize=10)\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.show()" ] }, { "cell_type": "markdown", "id": "c72f321c", "metadata": {}, "source": [ "## Production run N = 2000\n", "\n", "Run the file ```08-performance-analysis-prd.py``` to do 2000 Monte Carlo runs. The output logs from the run are in ```08-production-log.txt```. The aggregate data from the ```data/acta-astronautica/uranus-orbiter-probe/MCB/```." ] }, { "cell_type": "code", "execution_count": 13, "id": "86177244", "metadata": {}, "outputs": [], "source": [ "p1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCB/terminal_periapsis_arr.txt')\n", "x1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCB/terminal_apoapsis_arr.txt')\n", "y1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCB/acc_net_g_max_arr.txt')\n", "z1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCB/q_stag_max_arr.txt')\n", "h1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCB/heatload_max_arr.txt')\n", "u1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCB/periapsis_raise_DV_arr.txt')\n", "v1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCB/apoapsis_raise_DV_arr.txt')" ] }, { "cell_type": "code", "execution_count": 5, "id": "cf4145f7", "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": "markdown", "id": "f7b11f00", "metadata": {}, "source": [ "The one case with apoapsis below 200,000 km is an outlier. We will investigate which run this corresponded to." ] }, { "cell_type": "markdown", "id": "3582b7d5", "metadata": {}, "source": [ "## Remove outlier case" ] }, { "cell_type": "code", "execution_count": 6, "id": "3546740c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1308" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.argmin(x1)" ] }, { "cell_type": "markdown", "id": "598c3d75", "metadata": {}, "source": [ "Let us look at the log line for Run #1309" ] }, { "cell_type": "markdown", "id": "d0dd7381", "metadata": {}, "source": [ "RUN #: 1309, SAMPLE #: 183, EFPA: -11.52, SIGMA: -2.51, LD: 0.25, APO : 149053.24\n", "\n", "This is a shallow entry (+1.8$\\sigma$), with low atmospheric mean density (-2.51$\\sigma$). We make a note of this outlier, and remove it from the plots for better visualization." ] }, { "cell_type": "code", "execution_count": 18, "id": "622c0a64", "metadata": {}, "outputs": [], "source": [ "p1 = np.delete(p1, 1308)\n", "x1 = np.delete(x1, 1308)\n", "y1 = np.delete(y1, 1308)\n", "z1 = np.delete(z1, 1308)\n", "h1 = np.delete(h1, 1308)\n", "u1 = np.delete(u1, 1308)\n", "v1 = np.delete(v1, 1308)" ] }, { "cell_type": "code", "execution_count": 19, "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 | 327575 430906 526466 636097 680611\n", "Periapsis altitude, km | 155 163 192 213 213\n", "Peak deceleration, g | 6.84 7.06 8.01 9.93 10.75\n", "Peak heat rate, W/cm2 | 1583 1597 1747 1914 1928\n", "Peak heat load, kJ/cm2 | 204 206 221 233 235\n", "Periapsis raise dV, m/s| 52.33 55.45 65.83 78.71 99.09\n", "Apoapsis corr. dV, m/s | -87.83 -61.66 21.5 123.21 290.38\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": 20, "id": "8808f519", "metadata": {}, "outputs": [ { "data": { "image/png": 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3PiZQSxDDhg2TewpGBVsPKWw9iifJyck4ceIEKleujIkTJ+Lo0aNwdnZGr1698OzZM7Ro0QI7duzAo0eP4O/vj7i4OAwYMAC8c+197tbXqFGjIu3Wx48tbt36LCws8tWtT6VS6d2tLyUlRTI2OjoaXl5euHnzJg4fzl+3Ph8fnyxd7+Ts1tenTx/WrS8P3fqYi78E4efnh+HDh8s9DaNBvB5yuPg5jtPU77WxsZEIADlg+4Mobt8RwcHBaNKkCXbv3q2pfhISEoK6deti8uTJWLx4sWR8QEAAPvvsM1y4cAEfffTRe92tj+1pw8DW0TAU93U0dLc+2ZOkGEVHgwYN5J6CUSH3eigUCqOKO5V7PRiFA99Zj493BoA6deqgatWqePToUZbx3bt3R8uWLREaGoqPPvrove7Wx/a0YWDraBiK+zoaulsfc/GXIBITE+WeglHB1kMKW4/iCV+yLzY2VvJ4xYoVNUlP2tSsWVPzuve5Wx/b04bBmNcxJASYMQMYNIh+isKnjQ5jXkdjhAnUEkRcXJzcUzAq5F6P9PR0DBs2DMOGDUN6erqscwHkXw9G4VC1alU0adIEly5dkjweGxurs160SqVCamoqPvroIwDvd7c+tqcNg7Guo58f0KAB4O0NvH5NPxs0ADZskHtmujHWdTRWmEAtQTRu3FjuKRgVcq9HZmYmNm7ciI0bNyIzM1PWuQDyrwej8FiwYAG2bdumSWq6fv06rK2tMXjwYPz555+YM2cO0tLSkJGRgZkzZ2LGjBmaguLvc7c+tqcNgzGuY0gIMHIk4OoKREQAp07Rz+HDgREjgMeP5Z5hVoxxHY0ZJlBLEPokLJQk2HpIYetRfOnRowdWrVqF0aNHY86cOfDy8sKxY8dgbm6OsmXLYvHixahZsyaGDh2K77//XmM95Vm4cCE4jsOECRPg7u4OHx8fo3fvA2xPGwpjXEdfX8DeHli+HLC2psesrel+6dKAj498c8su7MAY19GYYVn8JYikpCRJokRJR7werFA/2x88Jfk7whAY0/qxPW0YCmMdQ0JIZIaGAi4uZAmtU0f/1w8aRG79d+V8JXTtClSsCGzbZqjZ6o+fH1l27e2Bpk2B27eB+Hhg/Xrgq6/YfgRYoX6GDpYuXSr3FIwKth5S2HowihtsTxsGQ6+jIWJHXVxI/KWmSh9PTQUCA+n5oia3sINff91Y9JN6j2ECtQTBegBLYeshha0Ho7jB9rRhMOQ65jV2NDt3uasrWSYnTBBEamoq3U9IANzc9J+PoaoA5BZ2YGU1Nv8HL4EwgVqCKO5t1vIKWw8pbD0YxQ22pw2DIdcxL7GjOVla69Qht7mfH1ClCrn1nZ3p/vr1QO3auc/F0FUAQkPJrW9lJX3c2hpo1gw4fPhu/g5cQmECtQQxZswYuadgVLD1kMLWg1HcYHvaMBhyHXMTcaGhdF8fS+uwYcCDB8CoURRzOno03dena3NhVAHILeygS5caeT9oCYYJ1BLE7t275Z6CUSH3etjY2CAqKgpRUVGwsbGRdS6A/OvBYBgatqcNgyHXUd/YUX0trbVrA/PmUULUvHn6WU7zcvy8kFvYQbly+/J+0BIME6gliLZt28o9BaNC7vVQKBSoUKECKlSoAIUia5Z/USP3ejAYhobtacNgyHXUN3ZUX0trfimM4+cWdvDllw0LNukSBhOoJQi5S74YG2w9pLD1YBQ32J42DIZcR31jRws7S7+wjp9T2MH7uh/laifLBGoJooSVvM0VudcjPT0dY8eOxdixY42i1anc68FgGBq2pw2DoddRn9hRQ2XpZ0dhHj+7sIP3cT/K2U6WCdQSRNWqVeWeglEh93pkZmZi9erVWL16tVG0OpV7PRgMQ8P2tGEw9DqGhFCMp7hIv3bsqCGy9HOisI+vi/dtP8rdTpYJ1BLEpUuX5J6CUcHWQwpbD0Zxg+1pw2DIdcyLRa4gWfra6HJTG/L4+vC+7Ue528maFe7hGcbE119/LfcUjAq2HlLYejCKG2xPGwZDraPYIrdsGYkd3q0+YgTQoUNWyyXvLi8I2u1HAwKAhQvJUjpsWMGPry/v234s7ES13GAW1BLEmjVr5J6CUcHWQwpbD+Nkz549ck/hvYXtacNgqHWUwyInt5tazPu2H+VuJ6vg3seo3QJQpUoVvHjxAs7Ozu9tRh3D8CyZU7h/BpN/zVpGKjk5GXZ2dgCApKQk2NraFuocGPohx3fEixcvMH/+fDx69AhKpVLzuEqlwu3btxEXF1ck8zAE7DuWkR2DBpFb/9SprM917Upu9m3bDHvOGTMojODFC6klMDWVYk5Hjy46C+r7RkgIhV8MHy5cVPAWbz8/CofIT6yuvt8RzIJagmBt/6Sw9ZDC1kM+vvjiC+zfvx/lypVD9erVNbcaNWrA3t5e7um9t7A9bRgMtY5yWOSCgwE7OxJZ4hJJReWmFvO+7Uc5EsnEsBjUEsTEiRPlnoJRwdZDClsP+Xj69CmCg4NRrVq1LM8dPHhQhhkVD9ieNgyGWkdXV4r9nDAhq0XOEKWjtPHzA44cod9fvpTGnn7zDYni0aMNe86ceF/2Y0gIhWPwVRaOHQNOnqT7o0fT51TY4hRgFtQShU9hp9y9Z8i9HtbW1nj27BmePXsGaz4gS0bkXo+SjJubG6Kjo3U+17Ah6z6TX9ieNgyGWseitMjxsacDBgAmJkDduvRYv35kTa1XD4iLA7p1M9w5c+N92I+6qiz06EHrldd2sgWFWVBLEN27d5d7CkaF3OthYmICl8KOMs8Dcq9HSebvv//G77//juTkZMnjarUa69evx5YtW2Sa2fsN29OGQbyO2tY1V1cSnvoybBhl6/N1UAcMABQKYPduwMsLKFcOaNw478fVhk/I2rgR6NmTEqK2bQP4P7HwcMDWlsQXn81f2Bj7fsxPlYXChFlQSxD379+XewpGBVsPKWw95OPPP//EvHnz0KVLF3Tu3Flz69q1K7YZOmukBMH2tGHg19FQXYX40lHdu5NQ3bIFOHwYuHKFXPIrVhS8W5G4RNKwYeSmTkkBatUCqlYFPv8ciI4u2mz+U6fCZWkZqi9y1z3VhgnUEkSpUqXknoJRIfd6ZGRk4Mcff8SPP/6IjIwMWecCyL8eJZlly5ZhxowZuHv3ribs49mzZ3j8+DHc3d3lnt57C9vThqFUqVIGL9fEH69/f7LSjRwJxMRQfGNaGrniCyIctROyTp4EypYFrl0DkpLISptX8VWQnvR+fsDEiZ/K0jJUX+Sue6oNE6glCJYNLEXu9VAqlVi0aBEWLVokKS0kF3KvR0mmWbNmmDx5MurXry/J4q9ZsyZmzpwp9/TeW4x9TxdE8BQl9vb2Breu8cerVg0oU4aO4+AgHK969YJZ7Vxdgfh4ck+nppK4atQImD5dmpClr/gqiPWYF+O9e8fIXos1J+Sue6oNE6gliLt378o9BaOCrYcUth7ysXr1ahw9elTnc2fPni3i2RQfjHlPG8pdXhTcvXvX4NY1/ngREdLj8seLiCiY1U47IeviReDcuawJWfqIr4Jaj3kx3qLFecyeTRcks2eTeJbDdZ4d2qIeKNwqC7lhFAI1MjIS/fv3h729PWrXrq2z20Lfvn2hUCg0t8uXL2ueS09Px5gxYzBu3DgMHDhQ8hxDoEePHnJPwagoyvVYMofLclsx37h6ZLD9IR/Tp0/HX3/9ha5du0punTp1wuiirINTzDDWPW1M3Y30oUePHga3rvHHc3aWHpc/XpUqBbfaDRtGxeRHjSKXPkChA998I5xLH/FVUOtxaCjg6AjMnt1XckHSvDk1Jyhq13l2yF33VBujEKiurq5o3LgxVq9eDRcXF7i7u2Pz5s2a5x8+fAhzc3MsWbIES5Ysgbe3N9q2bat5fvjw4XBwcMDKlSuxZMkS9OnTB8+fP5fjrRg1vr6+ck/BqGDrIYWth3xUqlQJpUqVgrOzs8TFX716dU23MUbeMdY9bWzJKLnh6+trcOta167A27fAzp1AbCzw/ff0kz9eWBj9fPu2YCEQfELWoUO07nv35l18FdR6XLo0CeWmTW9LLkiGDqXHjSkSRSzqK1akuqcPHhRNlQNtZG91evfuXdy/fx9fffUVACAzMxONGjWCo6OjxrU1fvx4/Prrr3B0dMzy+mvXrqF169YICQlB7Xc7rEePHnB2dtZZc4y14WPoorBbneoiPSMZMzwoiYO1OjUe5PiOuHr1KhwcHDTfYWK8vb0xatSoIpmHIWDfsbkjR8tPQ7BhA1l47e1JsAUGkojMa5kmPz+yIFtZUWa9WIUoFCT80tLo8bJl6Vy3b5NALmhJqMePhRJXLi7SovPZldDi26VGRAgXFID+7VJHj6bXDxsGrF4tlG9yd6c1HT0aWLs2/+/pfeO9aXXq4OCA/v37a+6bmZmhZ8+eiI2NBQC8evUKPj4+6NmzJxYvXoz09HTJ63fv3o1SpUpJvthbtmyJXbt2Qa1WF82beE9439qsFTZsPaSw9ZCPe/fu6RSn/HOM/GGse9rYklFyg19HQ1jXxOEN0dHAo0fAtGlU+gkAOnUCvv2Wfh8xwvAhELxFVbvofE4xwQW1HickAPXrA5s2qSXW282b6fH4eOn6vA+Jc0WB7IX6nZycsjyWmZmpceEHBwejZ8+euHr1KqZOnYrNmzcjICAAFSpUAECWh3Llykle7+joiMTERDx58gR1sqn0q1QqcfPmTb3mp2uO7yM//fST3FMwKth6SCnu6/Hq1Su8evUq13FyVFTw8fHB0KFDYWpqKpnHpEmTsHbtWixdutRg5woICMCxY8dQp04ddOrUCQ0bNsTbt28xfvx4lC9fHpGRkZg9ezbq1q0red2KFStw7do1mJiYoEOHDhgxYoTB5lRYGOueLuqWnwVFvI68wOOtjb/+mreC/Xx4w4QJlCjEWysPHyZxykfv8Zn94uSp5cuBPXvIApqTxVKb3JoL5Fag/tgxKlK/fj0dp2JFKvifnKxfbKaLC7VZvX5dhZ07TTQtQ4cMATp2FC5IeMsyb6EWt2aVw8UuO5wR8sEHH3B3796VPKZWqzlvb2/OwsKC6927t+bxhg0bci1atJCM9fHx4QBwFy9ezHJsZ2dnDoDet6+//pq7e/cut2zZMi4+Pp6bM2cOx3EcN2fOHO7NmzfcypUrudu3b3P79+/nDh06xN24cYNbu3YtFxUVJRmbnJzMLVq0iHvw4AG3Y8cO7t9//+UuXLjA+fn5cc+fP5eMzczM5ObOncuFhoZymzZt4s6dO8edPn2a27ZtG/fo0SPu77//5lJTUyWvefXqFeft7c1dvXqVO3r0KLd3714uODiYW758ORcXF8fNmTOHmz9/Pjdnzhzu7du33IoVK7igoCDO39+fO3z4MHf9+nXOy8uLi4yMlBw3JSWFW7RoEffo0SNu+/bt3MmTJ7nz589zGzdu5MLCwjgPDw9OpVJxc+bM4VQqFefh4cGFhYVxGzdu5M6fP8+dPHmS2759O/fo0SNu0aJFXEpKiuT4kZGRnJeXF3f9+nXu8OHDnL+/PxcUFMStWLGCe/v2rWRsXFwct3z5ci44OJjbu3cvd/ToUe7q1auct7c39+rVK8nY1NRU7u+//+YePXrEbdu2jTt9+jR37tw5btOmTVxoaCg3d+5cbu7cuZrX9Ow6m/t1ahg3sK8vN37EeW7M9ye4777ezv084T735WcLufmzkrieXWdzi2eruZ5dZ3Ozf3rNfdV7DTdlzHVuxJCDnOvgfdw090Cu3+cruDk/x0jGzv0ljvtfr6Xc9HF3uGEDd3Ojhh7lJo2+wg340ov7YdhJrkPrcZo1TEtL4xYsWMA9fvyY++eff7jTp09zZ8+e5TZv3sw9e/aMmzdvHqdUKiXvNTw8nPP19eUuXbrEBQQEcDt37uTu37/PLV68mEtMTJSMjY6O5tasWcPdunWLO3jwIHfgwAHu1q1b3OrVq7lff/1VMjYhIYFbsmQJd/fuXW737t3c8ePHucuXL3M+Pj7cixcvJGMzMjK4+fPnc0+ePOG2bNnC/ffff9x///3HbdmyhXvy5Ak3f/58LiMjQ/KaFy9ecD4+Ptzly5e548ePc7t37+bu3r3LLVmyhEtISJCMjYmJ4VavXs3dunWLO3DgAHfw4EHu1q1b3Jo1a7jo6GjJ2MTERG7x4sXc/fv3uZ07d3IBAQHcpUuXuC+//DJPf/vOzs76fWEZgDZt2nCurq6cSqXiOI7jHj9+zLVs2ZKztbXlmjdvbpBzqNVqbsqUKdzIkSM5pVIpebx9+/acl5cXx3Ecd+PGDa5atWpcQkKCZoyXlxf30UcfcRzHcSqVimvevDm3b98+nefhv2OLcv2yY/78+XJPIVv8/DjO1JTjHBw4rksXjitblu77+ck9MymPHnFc584XuYEDOe7nn+m+r6907g4O+s994ECOq19f9+vr16fnBw6kx3XRpQs9ry/6zPXnn+nx1FTpa1NSOM7WluMo2IDjzMw4TqEQ7nfuTOuRG48e0TlbtQrkUlKEY48YQY+HhAhjRo7ksh1TXND3O0L2GFRt/P398d9//2VrMfD29sbo0aMREREBZ2dnNGrUCGXKlMH58+c1Y9atW4dRo0bh2rVr+PDDDyWv52MfHB0dsy3rIqY4WVCfPn2KmjVryj0No0G8HnLEoIqZ/KtC1vMDxX9/6GtB7dmzJ6Kiooo0hjIpKQmBgYHw8/ND586dMXbsWNSpUwfbt2/XJFAVlJkzZ+Ly5csICAiQWGp37dqFIUOGID4+HtbvAuzq16+PIUOG4Ndff0VqaiqqVauGefPmaaym8+fPx/r16xESEgKFQrp3jSkG1dj3dE7xkMYAb9ErVUqF5s1NNXGgajVZFrWtjX5+5PLP6T3w8ZjDhwOrVumOxyxbNm8xn9lZSENCyE3v6gqMHw/88w/w5AmFFQQHAw8f0lzFMcHiY5UuTfMAaL5t2gBjxwJmZgAfbWhqqp+Fk+J3OdjbK3TG7/Jxri9ekNWYn8fjx5Tg9d131Aq2OKDvd4TsLn4xb9++xZYtW3Js7efm5oZff/0VYWFhcHZ2hpOTEyIjIyVjkpKSAEATBqALc3NztGjRwjATf0+4dOmSUX9ZFzVsPaQU9/XQ92LT3Ny8CGYjxc7ODh06dAAAfP755xg5ciQWLFgAMzMz7Ny5E19//XWBjn/lyhUsXLgQjx8/lohTgOL469evrxGnAMXx79ixA7/++ivOnDmDmJgYyfdly5YtMWPGDNy4cSOLEcCYMPY9zbvLjRGx27tdu10YPnwgUlOBdu0oflatpud4Qci73xcupIL72bnTeXIyjekTAsELuFOnqDuUvT2VbRK7xR8+pMc//JCe413n4eE0/4kTKbSAd8F7eZEA5cf5+9N8zMyAKVMoY9/VFZg/nz67lBSKIdWnT/2wYcCbNwcQE9NH4+IXX5CIKwVou/ozM4F162jtS5Kr32gEqkqlwvTp07F8+XJYWFhkO87U1BTVq1dHlSpVAABNmzZFUFCQZExkZCQqVaqEatWqFeqc3zeq8lHoDADyr0dmZgb+PTsXADD2p5k57vuiQO71KEn06tULaWlpOp+rXr06bt26he7du0OlUiEoKKjAAnXOnDlo3bo1NmzYgLNnzyI1NRVz5sxB165dcfXqVbhoZeU4Ojri/v37SE9Px9WrVwFAEuvPV1S5detWtgLVGOL82Z7OP+JSWFevVgZAQpG/ftu6lQSTWBBWrEhCis+81xVDyScMbd4MHDggrQbAJwzx9ThHjKCyUNoWx3PnSMDZ2dFjFhb087vvqMYpHzvaowcdy909a3xprVrA0aNkoeQF8Q8/AH37AjVqUJkrKyuylGZmAitXCrGzCxfSOpiaApUqAc+f6xcX26pVWXTsSL+HhEit56VL03oFB0vjYQGyGlerpp8QlhNDx/nLnsXPM2PGDLi7u8PZ2VnzWFRUVJZxiYmJqFq1qkZ8fvvtt4iKisKzZ880Y4KCgtCvX78sricGw5hQqZUIODMbAWdmG0WrU0bRUbZsWahUKlStWjVL3dOWLVtK7hfUvZ+cnIwTJ06gcuXKmDhxIo4ePQpnZ2f06tULz549Q1RUFBwcHCSvKVWqFNRqNWJjYzXfw+Ix/JxiYmKyPW9UVBRatmyZ623SpEm4d+8eli9fjoSEBE3GuIeHB2JjY7Fq1SoEBQXhwIEDOHz4MG7evAkvLy9ER0dLxqakpMDT0xMPHz7Ezp07cfLkSdy5cwcbNmxAeHi4ZKxKpcK8efMQFhaGzZs34/z58zhz5gy2b9+OkJAQLFy4EGlpaZLXREZGYt26dbh27RqOHTsGf39/3LlzBytWrEB8fLxkbFxcHFauXIng4GDs27cPR44cwY0bN+Dt7Y3Xr19LxqampsLT0xMhISHYsWMHTp06hQsXLmDTpk14/vw5/vrrL6jVanh4eECtVuOvv/7C8+fPsWnTJly4cAGnTp3Cjh07EBISAk9PT6SmpkqO//r1a3h7e+PGjRs4cuQI9u3bh+DgYKxcuRJxcXGSsfHx8VixYgXu3LmD8+fDUbXqGwQHX8PBgwcRGRmJyZNX4cYNAFDjs89U6NlzIc6ceYyOHZ/A1ZXDgwccqlaNxcWLz/Hpp/MQFqZCs2a3MGIEMHnyKoSHhyMhIQgvXyqxdu1lfPzxfVhbJ6B58yu4dCkVYWGpcHGhuXz+eTR+/30bvvwyEirVC3TtGoJ9+x7g2bMtGDmSQ/PmN9+VqkrBw4cJaNPmDkaM4ODrexy9e5+ArW0m7t9/jcBADhYWqVi+HPD09EB6ejoWL16M5GQVzMxU+P33MERGnkOjRhHgOA5793JYvJjDnj3qd9n1FJa+cWMGMjOVaNqUw8qV6XjzhkNKCoeAAA5paSn45x+gY8cLuHIlFmvXrkVgYCAOHTqEgwcPIjAwEGvWrNHsEz8/oH59Nby8OFy/Ho41azKxfr0ab9+q0a9fMiwt0/Dzzy8xf/58TJgAxMWp0aKFCkAmvv46FZ6eB3D27FmcPXsWW7duxdOnT7FgwQIolUrJ5/ny5Uv4+vriypUrCAgIwJ49e3Dv3j0sXboUiYmJkrFv3rzBmjVrEBgYiIMHD+LQoUMIDAzE2rVrERMTIxmblJSEJUuW4MGDB9i1axdOnDiBy5cvY8yYMXr9zevSdrowihjUmTNnIj09HZ988gkAyuI/e/YsOnfujEOHDuGDDz7AmDFjkJKSgunTp2Pq1KmSkiz/+9//0LFjR0yZMgXh4eFo06YNrl69qrGyijGm+KiiZuvWrRgyZIjc0zAaxOvB6qCy/cFTFN8RFy5cQMOGDVG2bNlcxx44cABffvllvs8VHByMJk2aYPfu3ZqSfiEhIahbty4mT54Mb29v/O9//8OWLVs0r5k5cybmzp2L6Oho/PHHH1i1ahWUSiXMzMwkr1+4cCGmTZsmOZ8xxfmzPZ1/xLU/9+6ldZwxg+p4JiSQVfPSJbJIxsZSpySVCrhzB/jgA+E42nGjfFzo8OFZ3ff6xLCKYzWHDxdiR7XP07UrYGMDHDlCVs4nT7Keq1Ursl5u20bW24cP6Rw2NvReMjKEUAQTEwoLAMhyfPmyNEzB0ZEsrTnVat26dStatx6iiYvVjuH19aVzmJkBH39MVuO4OKoNW6YMPZeSQnPLT2Z/btUMCoqh4/xld/EvWrQIc+eSm9PT01PzeNmyZfHXX3/hv//+w88//wxPT0906tQJHh4eEisrAGzevBnjxo3D1KlT8fr1axw+fFinOC3ptGvXTu4pGBVsPaSw9Sg62rdvr/fYgohTQIjJF3ekqlOnDqpWrYpHjx7ByckJ8eJCjO9eY2pqCgcHB414jI+P17j535c4f7an8484DnTy5I8AkDvc1hZISiJXdJUqgvtdpQJKlZKKUyBrt6Xc3Pe5ua/FsZp87GhwMCVAmZsD+/cDgwfTMUePJhF55AiJ12bNhHOtXg38/DPQuTPFlPLitF07+j0uTipAxWXVL10SfreyoqYCUVEUw3rtWvau+Hbt2mHdOiF0QpwMFRdHoQo1agDPngHlywMDBlAYgDjudfx4EsF5dfcXRQkrQ8f5y+7inzZtGjiOy3KLjY2Fubk5FixYgMTERDx9+hR+fn5ZxClA7qaNGzfC09MTW7ZsQfPmzWV4J8bPrl275J6CUcHWQwpbj+IJf7HONz/hqVixIhwcHNC0adMsLrfIyEi0bNkSJiYmaNq0KQBpyBWfmNq6devCnHqBYXs6/4j7srdqVQldu1I2+atXwJo1JOL4gv1ubiSulEr9mg+0b08Cq2JFIDKShFhOBf/FxetDQ4Fbt+i4rq4k7Jo2JXEYGws8fUr34+OBbt1IRCsUJF4tLUm0BgaSkExIoDG//EJjABLYISFA48Z0X5xTKI4aNDGh+0olUK8eULMmxbpOnCi0q9Uuur9mzb9ZkqH45gBv3pAF9v59stza29Nx7O2BBQuAn36i+Y4Zk/eWuOKEN0M3PihMZBeojKJjypQpck/BqGDrIYWtR/GkatWqaNKkCS6JzT4gwdqtWzd8++23uH37tqRLX1BQkKb99GeffYYKFSrg8uXLkucbNmyIBg0aFM2byCdsTxcMvnPU2LEWqFiRkpBMTEjcOTuTK523/vEu8dy6LfGibNcucr2/fk1CS1QpUoJ2h6f79+l8PXoI7VABcn1nZpIIBejxzz4Ddu8mARkVRQX39+2j4vh+fiTAT54k8VqlClmH/fxInL98ScdRqeinkxONa9SI7qvVNP/AQDp2ly70/NdfkyX5yJGsnamWLBmJhASqgiBOhoqIoGoCpUqReOU4msfy5XSeWrWE+daundUqnRvihDe+WAff+CAvQreoYQK1BLFgwQK5p2BUsPWQwtaj+LJgwQJs27ZNk9R0/fp1WFtbY/DgwejduzcaNWqEw4cPA6DufOnp6XB3dwdA7rhffvkF/u9q7mRmZmL79u3vxX55H+Zo7NSuDZQuPQ/btpGV0seHxJK4ZScvnnJ6rnbtvFvydI1/9YoE5tmzFENqakrZ/BkZVKfU3R04eJBEXuPG9Lr790kQNm1Klt/PPqPzHT9OIQHlywOJiSSo+/Wj85UvL51LUhKdg+88rFCQxdbTkwTzhg0kkGNiqIxVUBC54MXvs1mzQBw7RtbdoUNJHC5fTsfjhfyWLSRUGzemn4mJVFlAbGHOa0tcsdVWTF6FblFjFElSRUlJTpJiZA9LkmLwFNfviJ07d2LHjh1o1qwZnj9/jt9//13j/n/58iWmTJmCatWq4dWrV5g9ezZq1Kghef2ff/6Jly9fIj09HT169MDAgQN1nqe4rl9JQN8kmpwaDOT0HJ/g9N9/VKaKHzN4MLU51S7Ar128nic1layXfKknV9es51m0iITdzp3S11WoQNZWvhTWxYtC0f2qVUlIli1LLvvr1+nxDz8kQbx5M81RGxMT4PvvKabWxYUspObmZP3kk75CQkjgr1hBAv7ZM5o7nwzFx+ByHL0Xc3Oq3XrlConhtWsppCIvCWX8Z/rdd8DNmxS/Onq08Jlm1/igsNH3O4IJ1BKEh4cHZs2aJfc0jAbxesghUNVqFSJeUZ3IRataZimgXtSw/UEY23fE7du34eDg8N7U9DSm9WN7OneyK3jPd4366y/g8OELcHZuX+DM70GDSIw9ekQxq6VLkzDLyADq1iVrnrhPj7jDkzZdu1L86uvXWTtODRhArvxp07J2nKpbl1zmwcHA9u1kSRUnQAEkhjMyhMfLlKE14bPqedVkb09rpFAI8bSmpkDLlnSM4GASf3XrkiXYwiIFlpY2SEmh45ubUwxsXBxQrhyJRR8fOsb48SSyvb0p7pTjgLZtyQIs7kCVE3xilLherFJJ5+DrxeordA2Jvt8RzMVfgnB1dZV7CkaF3OthYmKKas6tUM25leziFJB/PRhZGTBgAHr16oVdu3Zh0aJFck/nvYPt6Zzh4zvXrCFxKi54HxFByUw//wwEBrbTxFE2aEDubG20E4JCQrKOKV2axJBaTaWcPviAfvKWRnt76XjeGpld4tXHH5NA1I57DQkhd7t2hTEvLxKTffvS+xs5kqyV4nEmJhTbyseYAkD16iQgR48m1z1fbD8lhR5XKEgo9+pF76NrVyq31aSJNNZ09+5EpKWRdbZ+fRKLx4+TYE9JATZtEmJ5x4yh9/HsGcXbmpoC0dE0h5wSysSfB3/eV6/oIiQzk0Tx8OEUUysOvzBGmEAtQRw7dkzuKcjGkjlcltuUsUc1vzNK9v4wVsLDw2FpaYkpU6Zg0KBBOHTokNxTeq9gezp7xAJm5Ehya796RfdHjAAuXKDEJUtL4KOP7uYYL6qdyKQtZENCSFjx1lF7e0pYOnWKfvLlgM+elQpbV1fdApSP1/zxR6HSgDju9c4dEo3Llklfx7cu/ewzEuGmpiQIt20j13+9ekD//mT9rF+f3ouNDYnMU6fI3d6xI62LtTVZSh0dSdgHBVGiU+3aQnWBy5dJVNrbk1j9/HNHpKWRRZYvF8pxgkWWT8gyMaHkLn5N09Lo/Tx9SnPkQwZyuiDQToziE97GjyeR2qCBfkJXTphALUF8oF2groRTqYK865GZmYFT5xfi1PmFyMjIkHUuANsfxsjZs2dx//59AICzszO6dOki84zeL9iezh6xgImIoHjMsmWFzO5ffyUh1bYtoFZTbUtdmd+5JT7Nn09iz9ubEn4AEp2tW5PruXVr4O1bevzhQxJOn39OwsvXF/DwkArQSpXo3B9+SD/btyeh9emnJBJVKkowmjqVXufkRBZQe3sSeGZmZJG8eZPE5z//kLU0IYHev6kpiU4XF0pSSk0lQVu7NhX7r1OH7mdkUEzq/v1kCf32WwotmDGDBGWHDhTbeusWPT9+PIlMLy+qozpiBN1XKCjz38aGRDIfV/vLL9IMfzs7Ern8muZ0QQDoToyqXZtqn3boQO/PWC2nPLIX6mcUHdrFuEs6aenyrodKrcShgJ8AAErlWFhYWMg6H7Y/jA/tPcES6fIG29PZo6vgfWqqkNn95AmVVAoKArp3TwBAae3izG8+AcfUlARgRAQJuIgIErcKBQk2gATr0aMUp2luTqItOZme++03YO5cypx//ZpKNLVpQ3Pi42Dj4kj8JiaSWHv1Cli8mGqEtmgB3LhB57O3p7CAwEASsTdu0PtycqJao8nJdB4XF3pv1aqRGz09nZKiXryg+YeHk/XYxITmDdB7Cg8XEplq1yYRrFbTOe/epXHz59Pr5s+nWNirV+lYnTuH4/Tpanj2jMaamJBgPnGC5sDHiPK0akU/v/+e1sHJicT4L7+QUNXuRCUu3q/9mfLw4RG6kr2MDWZBLUEk8pevDABAWjpbDzFsfxiOt2/fYvny5Thy5AgAanH44Ycfom3btliyZInMsys5sD2dPeL4TrErPTaWBEylSuTSTkgAOnR4pHkdL3ASEshqx1sifX3pvpsb/fT1lRa5r1mTxClAbnS+XukHHwCzZ1N85OvX5HIuXZrEZrduJJJ/+YV+v3GD4k5TUqjsU7t2dI4bN+h4EyaQGIyJoY5M168DPXuSuP33X6HLVUwMPZeRQaEKvGu9YkWqacq73dPShOcAwMGBLLMDBpC18t9/yXo8YgSFAUybRvGt73pboGVLsnqq1SSAz52rpLF4HjtGx05PJ8tupUq0juJmAKNH0zl37aLn0tNJwHIcidecaprmFh7B16U1ZphALUEYe1HtoqZiBbYeYtj+MBx9+/bF3r17cfLkSUyfPh3Dhw/HDz/8gOPHj+Pjjz/GihUr5J5iiaCk7+mc4hTFAqZKFSGWs3Jlcrnfv0+CqH174KOPqgOQCpxjx+gYEyaQJTAkhGqI+vqSC/zbb0lMmZmRy/y338jyaWIC7NhB4lChEFqMAmRBvH6djn/lCt2ePiWB97//0WvPnSOX/fDh5KrPzKTXpqdTKaZ69ajG6Mcf0+MxMZSt36ABudvFiC2LAFllRf0qAJDwffGCjvv0KZ3z11/JCjxwIP3s00com1WrFrn+rayA7t2lZa5SUszx6lXWqgEmJpRg1bs3rREguPrT0ijjPjqaXP2mptRQ4IcfpHHA2bWUzakurbHDXPwliICAADRs2FDuaRgNDx8HoJIjWw8etj8MR1hYGB4/fgxTU1MkJSXhzZs3cHtnsvjwww+xf/9+mWdYMigJezq72qW59V7nBcyIEVS/s2lTEj6JieRe79KFXNozZwIff+yCNm0Ey+lnn1EC0PLl5PJesoRacVauTHM6coSEnVpNt6goElalSlGS0TvHAgBpv/v0dLJE8o/z7nRACAcASPSuX08C29KSxC7HkeCtVImOz8d33r1L1sIKFej4fNSHiUnW6gDawpEPXahcmeqlli8PfPWVUFpKrSaB/MUXJBArVKC1nD+fXl+zJllU16+ndbWwSMeDB1aoVYvW+sUL4bza3ZyUSnpvCgVZazmOXP18CICZGX2eXl50X5frftgwcvnzdWlHj5bWizV2mAW1BOH2Ptj0i5A2Ldl6iGH7w3B8//33ePbsGQDAzs4Oixcv1jyXnp6ObeJij4xCo7jv6eyy5xcs0K9jE5/ZPWoUubfd3ank0eXLVD/0p5/o+TFjTFCxolDiqHRpIX5VbKlbvZqOa2JCwm3ePMHNr1KRhfLSJRJyPOLMdW10VWkvX57iY7/6igRcejqNs7EBOnemklFmZnTjOBK2HEciWRySXLUqnVMchsCHHQBkyVSpKDxg2jQS7BxH962tSVTytVIrViSBGB9PYQf8e3F2JhHaogWtdVoanSA8XBCn5ubCOcUh5mZmgku/Sxdas1276NxKJZ173ToSrzm57mvXps9h2zb6+b6IU4AJ1BLFsmXL5J6CUXHuElsPMWx/GI4//vgDKSkpmvv2WgUe//zzz6KeUomkOO/pnLLnZ8wggaVP73W+LJKLC1nZfHykoQAcB1y7dl1yX7s+KS90+fagLVrQ/Z9/JvEqjqt8+5bc1dpoWy9tbHS/75gYCgW4eJHiMPljp6RQ2MHy5fSYONkIINEoFsFhYfRexDGmTZtSVQGAYlwBEoJLl1JCFQ8fBsC/39ev6adCQe+PF7rnzpEF9tYtEpKNGt1D1aok7HlhzM9z6FDg+XPhffOhCwBdMCQnU7b/mzdkNeU4ej+urmQ1fp9c9/piEIGampqKffv24S6fwsYwSlhHFSmfdmbrIYbtD8PSpEkTnY9bWlpiiHYFcUahUBz3NB9X2qcPWd8mTMgqQs3NSRjp03s9pxqm/HN377aXPJeZSUKsUSOqRXriBIkm3kJZoQJZDwGKn6xXj37ni1JYWFBGOo9YwPKIru80vOvMi9RUyno/fz6rlTUjI6s4BYRwAzH8a/nzX7smjYkFKElJLGIVCrrfqhWJZTFxcSRkxaEDDx7QupiaAp07f4DXr+kYYsupmRmwZQvF1orfNy90+evbxESK5f33XxKnw4bRcRo2NP6apvkhXwK1devW6NevH86ePYukpCR8+OGH6N+/P7p06YKNGzcaeo4MA+Hh4SH3FIyKE2fkXQ9zMyu4Dz8F9+GnYKX9n0QG2P4oep4/f47Fixdj6NCh6NmzJ7788ku4ubnB29sbL1++lHt67z3Gsqf16bKkD2Ix+eYNCcVmzaT1L62tyaIWGZl9ByYXF2FeOYUCuLmRCHVyuoc2bYAzZyhpatEiOs/Tp/R79+70kxdXR4+SSOUTcx4+FATV6NGUSJScLAgvjpO62i0sSLQBUqtnjRrARx/R72lpeVu7GjWEY2rDC1WOk4YBANL79vYkGm1tsyZTAWS1/uADQfCamlLzAWdnEs0rV3LIyKBjiuefmUmv4a22JiZ0LP4c/BxOnQI8PcnVP3w4WUzbt9evpqmh9mBRki+BmpmZia1bt6Jjx46YN28eHj58iKNHjyIyMhJXr1419BwZBuKHH36QewpGxUet5V0PExNT1K7RGbVrdDaKVqdsfxQdarUaU6ZMQa1atTB9+nQcPnwY9+7dw82bN7Fnzx6MGTMGtWrVwgy+iCQjXxjDns6ty5K+aItJV1dy1w8dKo0r5WMhlUqhxFBICFk6GzUiK1+3bjRWu9tQSAiVfOL7zfOJSmXL1oG3N/WjP3eOBOQPP5DlFKDkJz6Zh69FmpxMLut+/ciCqlaToNqxg55LSqJ58gJUbKXMyBBc3GKr57lzZOXUhZmZYKHVDg+oVIksrmK3uS4sLLJanfl5mZuTlTMjg+bPJ3OJSUmhFqW8dVSlojXUbjevy2Isfp82NoJYFY+tUAGYMoVc/Rs2UMcs8QVHdhhqDxY1+RKon3/+OaytrREdHY0VK1bgu+++Q/fu3WFiYgJzsd2aYVTsFNe7YCDwDlsPMWx/FB3Tpk2DSqXC+fPnkZycjNjYWISFhSEiIgJxcXFITk7GmTNnkJCQgN9++03u6b63yL2nc7NQissEZfd63ur13XfSuFK+TBRAAtHHR0iWSUoiF/T69WTtq1uXLG9Pn5L46dGDxIm4WL9YxISHC4Jp3jxg8OD1iIgggctx9JoXL4CTJ8kFHhZGYnn2bKkV8skTmteDB3Tf0ZGei48XxKS22z03dLnvzcwEK6SpaVbLMR8jqs+xa9XSLSCVSioDxc9XVwKXgwN1jMrIkFqEtec6cWL2MbaAIE758/Cu/nLlgDlz6LMrXZpKeeVW07Sge1BO8iVQo6OjcejQIQwcOBAKhQJz584FAISEhGDr1q0GnSDDcLRr107uKRgVLlXlXQ+VSonzV1bh/JVVUOr61i1i2P4oOjIzM7Fs2TK0adMGluLU4XdYW1ujTZs2WLVqFeuGVADk3tPaFkog+2QlbbStXjdvkhjZvp2e57PnN28mQePrS65kX1+y3F29SiJJ7L6eP58SlHhxwnddCg6WipgOHYR5jB4NnDw5QNMlysyMxvNJVU2bUrek+HgSwNmhUAiF+rVd3PrCW2cBKv3UvTv9nplJltj69UkkOjhIX6dLTOqC46gslXh8lSq0jhUr6n6NqSklhQEUk8qLW5WKXmtuTt2q+LqsmZnUAUpXjK0Y8XvgXf137tAxP/+c4lGDgnJPjCrIHpSbfAnUP/74A4cOHYKdnR0OHTqESpUqwd/fHz///DM+/PBDQ8+RYSDCw8PlnoJRERcv73pkqjKw9/B47D08HhkZGbLOBWD7oyh5/fo13vINyHMgLS0N0bpSnhl6Ifee1tUPHdCdrCRGl9Vr/HiyOmqXiQoMJNFYrhx1OOLrgQ4fDkyeTELn22/psZkzyfLJixPe2jl0KN1fvpyOu2mTMBeFAjhwoCwaNCAhrFKRuHRzI5F66xb9Lo4VHTRIsJDyiIVyTtjaCscSH0OhEObbqRPNoUoVQRCamJDYjomRJiCVLp3z+cSULSu1fCoUtP5WVrqtsHzCFP+cnZ10zm3akCCNjqaELp6c1oCPk42NlVpya9YUSoKVK0fjRo3KPTEqv3vQGMiXQK1UqRLWrl2L/fv34+N3lwV9+/bFnj17cJRvWsswOhS6/BYlGbYeEtj+KDpGjx6Nhg0b4rvvvsPSpUuxefNmHD58GKdOnYK/vz+8vLwwfPhw1K1bFwMHDpR7uu8tcu9p7XJMPNrJStrosnqNHi10ZhIXZ1+2jB5fvpwsagoFuYT796fOQ2ZmFINpZ0fCzceHjlm3LsV0tmxJc0xMpG5GTk4kqMzMAL7hGccp4OhIZZw4jmqIOjuTgI6LE4rWKxRU3N/KSojdbNxYeF/ij+PTT3W/9+RkwY0uvm7nOJq/pSXw338k4Hx9BbHHx5dynGCpBcjqrC9v30pjYfljf/ghWS158WlvL7VO8zVNk5IEa6eJCVmWp06lz0nf6MfMTKqlKj4/QOtduzZl8ZcpQ5/5tGnC89klQeV3DxoD+RKor169Qvfu3fH5558DAGJjY7FgwQL4+fkZdHIMw1KFr9HBAACUKc3WQwzbH0VH165dcezYMcTGxmL69On4/vvv8eWXX+LTTz9F//79MWHCBMTFxcHf3x9ffvml3NN9b5F7T+e3H7ouq1edOiQu09NJjIpbV37/PcWV3rxJwikjg7obhYQIQi4piURSaCgJ3CtXKHHI1paEV2YmjWnQgMQsx1GPezs7oEGDVDRqJAjM8HASsqNH0/l4ccpbODdsEBKnoqKE9yAWXPfuSd+zrmsJ7ceUSpqruNB/dtjakpht2TL3sWLEFtTKlQVB3LatEAsaH59zgwFHR5pnYKDwPvPiJLtyJetj587RZ6OrXWlOSVD53YPGQL4E6tixYxEZGYly5coBABwcHPDTTz/hwoULWLRokUEnyDAcly9flnsKRkVYBFsPMWx/FC1NmzbFoUOH8ObNG5w5cwY7duzAzp07cf78eURGRsLf3x8t8/rflSFB7j2d337o2lYv3jp2+DCJpIYNoensdOwYsHEjCZHx4wVrZtmyJKIyMyn+0cyMrKRKJWXgKxSUEX/qFHD9Ot2/fp2sc61aUVeojRvpNa9eZeLECRKYpUrRmIQEsna2akUilq97ymf/85UAsktQ4q2OPLrc3vz6iN30iYm641fLl5eOS04mMX/jhu7zZ4fYgqpUUqUCc3Pg11/p3NroSvKKiiJBOns2tV11cuJjWHMPhq1YUfcxzczIxd+unbTmaW5JUApF/vagMaDgOH3DhwXatGmDs2fPYunSpfjpp580j3t5ecHDw0P2uJ+cqFKlCl68eAFnZ2dEaNd+KObExMSgPN/6ooSxZE7WbZ6UHAM7W/nWIz0jGTM8StFckpJgK+5zJwMleX+IKcnfEYbAmNbPWPb048dCP3QXl9z7oYeEkAVs+HByL48dS+LLyorahZqY0PGGDSPh6u1Ngi88nFz3AIkqPh5VnINpakoizNubhA2Pt7dgEVUoSIjGx9P5r17lYG+vQGoqnXPpUrLA+fmRQO7RQyrsAJpjXjP0xdjaksh0dCRrsK9v9mPt7WnOcXHZj+EtvLruW1nlPWmLn19O5+F/F9aCQ4sWCty7R+ulUum/Rvb2QnWEJk3oIsXFhSzku3fT5y+2uAcHU1esGjWoqUO3blR1Qd89WJjo+x2RLwtqu3btdGaeHjhwQNLej2FcrF27Vu4pGBWXrrH1EMP2h3ESo92uhqE3xrKn89oPXWx5HTOGRBpAljkvL7KW8clSfDhAeDgVy+dRKgULKo+dHQmrtm2l4hSghJu2bUm8qFSUef7HH0LdUWtrsgr6+FCIAR+H+euv0qx/Hl3Cy8RE/1hMXvy9eUPrAJD1WFcoQEICJSSJj609juOk3avEYlUfcWpuTq+vUIHWIjmZxB9An0f79iQQOU64SChbln6K1+LmTTofH8NqZ5f7efv1I/FdvTo9FhREltI1a4B162h/iMWpnx/VrM3MpPXz9qaLiHr19N+DxkC+BKqzszOCgoI0Aej379/H119/jaNHj+K7774z6AQZhqM4tv0rCKzVqRS2P4yTf/75R+4pvLe8z3t62DASoVZWJABHjxayuMUlglxcqKRU/fqUfa9QSMWZgwNZy0qVIsHSsCHw6FHWpJngYIqZtLAAevYkEfTbbyQKzcwUiI4mcdy+PfDzzySgbWzIhf7ff4I4tLen7PBatUgMi1GrSTjritsEAHEHYHG5JnFmvC6fL8cBx4/rTnASY2GRdU76olTSmsXGCqI/LIzmWbo0hWTwcaYff0wCNDZW+yjCB5OWRnMU1zzlRXCpUmS55s9boQLVPw0LE2JkY2PptVWq0L64c4ce513+fN1c3vXfrx/9/sUXxbyT1NSpU7F//34sWbIEtra2+OCDD7B//35MnjwZCxYsMPQcGQbCWNr+GQtytzo1M7XEiCEHMWLIQZ0eiaKG7Y+io127dqhZs2aut2rVqmHq1KlyT/e95X3f0/HxFHO4c6fU6iUuEdS1K1nz6tQhYdm6tVAvlOOoc9OKFULrzDlzsibNeHmRFTYtjcQWH7prZsZneSsRGAh06ULlkiwtSUArlXQzNRXCCOLjKcb18WPg0iXp+ylFEU06xaNCAYjLqIvH8JnxutqLitFltRWL9bAw3W55Xeiy1PJltvj3qlbTPJcto+fUaorPDQjIGvLw7hU6z8OL+8xMwN2daqTeuyc8/uYNXSwAlEBVpgxVZhg+HOA7In/7LX2efAUIjqOYWTc3qp27Zw+NCw5+fzpJ5SsGlScjIwNPnjxBeno66tSpI3sMnT4YU3xUUZOUlAS73PwJxRRdMajp6UmwtDSO9Zj8q/wlnkry/hBTFN8Ry5Ytw7p169C7d29YaRcoFJGRkYGDBw8iKCioUOZRGBjTd+z7vqf5+NKICKHcFEBCxNmZrKoACdC0NBI0mZlkKeSj7apVI6Hy9i2VkTp8mIQJX6i/bl0SpAoFFb4vW5aOvXMnnTcgAOjRg8Pw4QrY25P7uGFDEnvh4dR2c9o0EsYmJoKw/O47yjzPrni/s3PWRCmAkoT07fxkSLRjVAtCdvG3tWurEBZmKokJdnIiASrO8q9ZU1g3Kyt6Tq2mz+rSJUoIa9OG3PzOzjT3t2/pszMzI+sqx5GVu317EqOurmQ5d3IiEcvHED94UPTufn2/I8wKchILCws0aNAAL1++xLp161CvXj307NmzIIdkFCLr1q3D5MmT5Z6G0XD5xjp0+oitBw/bH0XHmDFjYG9vj2G5VdkGWCZ/AXjf97SrK7BwIYkJviaqdomgX38lcejtTWPXrSNr6ty5JELfvBEsfsHBJGqnTSNh4uMD7N8vCNtr18iSGhAguKePHwcGDAiAn99nMDWlOVy4QALI1pYy/a2sBFHFC72NG3N+b7rEKSCPOAUMJ06BrOKUF+6PH2d1WkdGkoi8dEmwukZFCeuZlkZhGlZW9HjbtnQsDw/6LJo0AS5epNCPsmXp80xIoM+yUSO6yLG3BxYsoLCLdu3odRMmAFu2UGxqhQpU/L9xY9pzdeoYbi0KQr5c/I6OjujVqxfOnj2L6OhotGrVCrNmzcIvv/zCXPxGDLt4kFK/jrzroVIpcfXWBly9tcEoWp2y/VF0WFpaYujQoXqN7devn0HOmZ6eDicnJygUCigUCpQrV06S1Nq3b1/NcwqFQlKiKT09HWPGjMG4ceMwcOBA2cs36Utx2NOffUZC0sGBxIl2iSC+JJWzM7nqfX0pHnHAAMr4T04WrHPh4SRk69alfvCuriSElEoSs+IyRQMG0Gt27AAGDqyDESMoTCA+ngRS584kjK2sSDS/fUv3eaGXXZxpTuibQGUIivJcfCiALqysKGxCHBKQlCQV6rGx9FnGxVHs6PffU1Z+bCxZvzMz6aJj3jwSqEolhR2kplIYSKNGwPTpwkUNn0SVkQE8eUJhA4cPkyXemFz/+RKoDRs2xJEjR9CxY0f8/vvviI2NxYULF3Dr1i1EiavyMoyK4OBguadgVLx6Le96ZKoysN3fFdv9XY2i1SnbH0WLqbgieBGwceNGDBs2DEuWLMGSJUuwZcsW2NjYAAAePnwIc3NzzXPe3t5o27at5rXDhw+Hg4MDVq5ciSVLlqBPnz54/vx5kc4/PxTFns6ug09B4YuvX75M7lyAkqG062BqF2IfNoxEirigTv/+QhtTniNHKKv7zBm6P2oUWdZCQoBJk0j0AiRq//e/GvDxkZZxCgujjPTYWMGi27w5WessLEiUOThQvOq7kum5on2dPnu2tHC+ITECmwCArMlqAL1nPlZWoaB9wNegBeiiwdGRbunp0vhk7dq7Fy9SqAV/UcNxlETVpw99Rk2bUnvYESNoLv37S9vpykm+XPydO3cGADx79gy+vr4YN24cmjZtCgCszJQRU6ZMGbmnYFRYW5WRewpGBdsfxRe1Wo3Tp09j27ZtOp9fuXIlVq5cCUe+npGIa9euYdu2bQh5p7ycnJzQvHlz/Pnnn/Dx8SnUeReUwt7Tfn70z97eXnCNL1xIQkCP6I1sERdfX7ZM6trXbtjIC5IRI4C9e2kefHKSmRmJmj/+oKSq4cMBf3+y0GVmkpWTF0KtWwNDh5LbV1f8ZMWKlJDDz+XZM3qcLzPbsydZ6ywsSDArFEKYQG7JTdnx+++Gdb0XJQWJabW3F9bO7J1K69UL4DvJp6cLpbEUCr4JgMCwYVT5wceHwjrCwymL/5tvSPTb2wsXUlu30oXE8uWUSFW1qlAhYt68/M3fUORLoEZHR2PlypXw9vaGg4MDfnuXXnb+/Hls2bIFa9asydPxIiMjMXbsWPz777+oUKECpk6dih9++EHzfFhYGKZPn47KlSsjOjoaixYtQqVKlTTPcxyHWbNmISoqCikpKRg4cCB69+6dn7dWrCnFX34xAACWlmw9xLD9UXzx9/fH/v378emnn+KHH36QhA28evUKPj4+uHjxIoYMGYKxY8dKqkrs3r0bpUqVQm1RJkXLli2xYsUKrFu3DibZ+HI5jkOyjpRpU1NTSWKYrjE8JiYmsBZlB+VlbEpKCszMzHS+RqFQaKzH/Njs8oW1x6ampkKtVuPxYxKF331HopQXbjNm2GLECBIIzs40NjvEicVpaWlQvfPzrl1LImHePBKLyck0lhcRXl5p+OMPwSc8YADQogXFfT5/Dri42CA6WgFTU6BBg3T4+WWidGma5507FJ9oaUnhA8eP20ClUkClAjZtSgeQqSPJh8OLFwqULWsNV1cTdOkC9OmTAZVKqRFhR45I3xvHWUNw0mYAUGrWSBszMytkZppKxtIxdK2aFQB+rPLd+OywhCBz8jI2E0BOqtoCgHmOY4W5i8eqcjmuORo3tkBQEFCvngqPHqVBqSR3/8uXwjFNTQFzc3OkplqA44Dhw9XYti0Vf/9Nz2/aRPugWjXgr7+A//3PHGPGWODkScDUVI34+FTExlKoh4uLcJHSuDHw/LkZmjWzRGgo/Q3nZHQ0MzPTfFfkNlb7714f8uXi//vvv5GUlIQuXbrg1KlTKF26NPz9/bFt2zZ8++23eT6eq6srGjdujNWrV8PFxQXu7u7YvHkzAPri6NatG9zc3LBkyRL069cPvXv31vwhA8DMmTPx7NkzrFu3DuvWrcPYsWNx/fr1/Ly1Ys39+/flnoJRERXN1kMM2x/Fl4iICHTu3BlXr15F//79MXToUI1wCg4ORs+ePREVFYWpU6eibdu2iI6O1rz26tWrmrbWPI6OjkhMTMSTJ0+yPefLly9hZ2eX5fbJJ5/g5s2bmluFChV0jrOzs8sSQ+ri4pLt2I4dO0rGNmzYEF27dtU5tlWrVpKxrVq1yva4DRs2lIzt2LEj7Ozs0KyZHdRqO2zYYIcKFWhsgwYukhqlPXv2zPa4Zcs6SsIB+vfvr3lu8WI7vH1rh/LlhfGAUF5qx46hWY7XtCm9bvduO/TqlYLkZLJkXro0WnK8a9fsANghPd0OBw7YoVGjGKhUfGLMFAD0vgDxrRQAO7x9+xzr15N7WKWaqTVG+yb+PpkLwA6pqbrHZmbeFI1dlstxz4nGeucy9rho7NZcxvqLxvrnMlZUDwvHcxnrLRp7Lpexy/D4MXDoEPDo0U3N47GxdoiPF6+XHVJT54qOex8BAbQnmzUT9sHixXR/z56Zmhq6pUs/h0pFx3n0SLqHzp61w6NHUxAYSMI1JiYm2/1rZ2eH0XwZCZBWy2nsF198ofmb1zfnIl8WVFtbW/z888+Sx/r27Yvy5ctLrrL14e7du3B1dcVXX30FAPjmm2/QqFEjrFu3DkOHDsWqVauQlpaG7t27AwD69OmD7777Dv/88w+GDh2KFy9ewNPTE4cPHwYA2NjYoFevXvjpp59w8uTJ/Ly9Ysunn34q9xSMirq12HqIYfvDOElPTy9wndyJEydi4sSJSE5OxvTp07F69Wo0b94cU6ZMQffu3dG9e3dwHIf169dj3LhxcHNzw4EDBwAAUVFRcHBwkByPt7bHxMSgTh5Tfi9cuCCpTJBTLG5mZiZWrVqFjz/+GKGhoTnGaqvVanh6euKLL77A7du3kZZLe6B58+Zh8ODBOHv2bK6haR4eHhgxYgQOHjyYoxUXADw9PdCo0U8ICHgGE5PsxyqVQP36aqxZk4nExBW5HtfDwwOTJ/+CixczYG2ts8imhvR0LyiVU6BS5e5jDgxUolIl4NEjDrn3ilfDyQl4/jwJKSm5jdXneMY6Ni/vTb+xpqaqbGqjSsempnIgB3Duxy1bNh1paUBqas5jjx/ncO7cOXz4YRTq1SuH4cOzH/vmTTri49WoUeMMcgvhjo+Px65du1CmTBmYmeUsJ0+ePJnniiT5qoOqVqsREBCAmJgYifvi+fPnOHToUJ4yPF+9eoVKlSppulIBwOTJk3HixAncuXMHbdq0QcWKFTVflgDQvn17lC1bFocOHcKaNWvg7u6ON2/eaL5E161bh9GjRyMyMjJLTJUx1egrajw8PN7rzioFQVcd1BNnPGTtJpWekYwZHvSPPikpSfY6wiV5f4iR4zsiIiICVapU0fncL7/8grlz5+p8Lr8MHjwY169fx6NHj7I85+3tjdGjRyMiIgLOzs5o1KgRypQpg/Pnz2vGrFu3DqNGjcK1a9fwId/y5h38+lWoUAH+/v7ah4eJiYlEcNvb20tCtrTHFsTFP3/+fPz0009ZxhrCxf/bbxQP+uiRtEapiYmtpkbpb78J4QAtWugOB+BrUVapIrj4+fFDh1L7UmtrOm6PHsDZs0Dp0mlo1kyF4GCykq5eTYXaeWxsbLBxowJuboBaTW777LFBmzYKBAbSxRCQCWdnctnPns0XeOdAXZCsYW1t8q4LErnis6v5CWR18WeP2G2fl7HG6+LP31jzd+MBCgdIg0JBXaWioigxjcfU1ByTJ1vg66+B1q3VACh2QqEAJk+mzw6gfVanDrn4KWREjXXrUuHuThUExNdmNjZAWpoZfHwsMWxY3l38T58+RWRkpM6x4r973mNTKHVQR48erTM4XqFQoHXr1nk6lpO4Oe47MjMz0bZtW6hUKty4cSNLORZHR0dcvXoVALmfTExMUJZvevvueY7jcPv2bWYVEsHEhxTW6lQK2x/yMXbsWPj7+0viOVNTU/Hjjz9izZo1Bheov/zyC1q0aKHzOTc3N/z6668ICwuDs7MznJycsvzTSXrXn7FChQrZnsPCwgLt27c33KSBPF3E2djYYDb/X1qPsfrCi+AePYAlSyjDvl8/cp9WqSKtUcqP3b6duv+sWSP0TLe1FRJTKCFFiM9r2pQeGzECOHiQ7t+8SWK0Uyfg6FErSeLU2LFUdkjswBw2jGqY7tplCSsrS2RkkNXWwkJaFN7Li4Twt98Ce/daArBEdDS1L927N+v7F2JILQBYZCNOtbGAILwMOdYcgvgz5Fgz6C+PCmusKQBbcBxw965USAIkJn186AKGLgTob8PCguJV+T8VW1uqrhAaSvdNTEwwerQtunUTkqjevBHqoLq5CftIoVDo/TenUChQq1Yt1KpVK9ex5nrW+MqXQH306BEePnyIihUrwsvLCz/++CMAYNGiRfjiiy/yc0gJp0+fxs6dOxEbGwuVSqXTvRQTEwOA3E9lypSRWGDF7qfsUCqVuHnzZrbP8zg5OekU0e8jzEImRW4LqpmpJb77egcAGE2r0+K8P169eoVXr17lOk6OmrTPnz9Hv379sGTJEtSoUQPHjx/HDz/8gPj4+Dy70PWhZs2a2VpsTU1NUb16dc3zTZs2zdLJKjIyEpUqVUK1atUMPjdDUlh7ms/et7GhYuqennSztqYMa75GKU9oKIlM7RwRcctSbcSZ2KGhVGro/n3g2DHhONbW2iJXOscdOyihpnVrKhsVHw988glw6xbV1TQzI/HM18h0caFzZWSQ8BXgLahZMWQHpuKOqakSKpV5jmtmbp61BJYuI2ZiotRyz6NU8u1pKVPf25vqrLZsSff5r5PateXP0s+NfCVJderUCXXq1EHp0qWRmpqKxMREABSHOmrUqAJNyN/fH5988gkaNmyoEZ3WWp+CSqXSKHCFQqHzeSBnlR4VFYWWLVvmeps0aRLu3buH5cuXIyEhQdPb2cPDA7GxsVi1ahWCgoJw4MABHD58GDdv3oSXlxeio6MlY1NSUuDp6YmHDx9i586dOHnyJC5evIgNGzYgPDxcMlalUmHevHkICwvD5s2bcf78eZw5cwbbt29HSEgIFi5ciLS0NMlrIiMjsW7dOly7dg3Hjh2Dv78/7ty5gxUrViA+Ph4eHh74+eef4eHhgbi4OKxcuRLBwcHYt28fjhw5ghs3bsDb2xuvX7+WHDc1NRWenp4ICQnBjh07cOrUKVy4cAGbNm3C8+fP8ddff0GtVsPDwwNqtRp//fUXnj9/jk2bNuHChQs4deoUduzYgZCQEHh6eiI1NVVy/NevX8Pb2xs3btzAkSNHsG/fPgQHB2PlypWIi4uTjI2Pj8eKFStw584d+Pv749ixY7h27RrWrVuHyMhIydi0tDQsXLgQISEh2L59Ox4/O4OnYedxPXAzYuPC8O/Zeejc/kecOEOvOXHGA2/jw3H11gY8e34Rj56cROCdnYiKeYgzFzyRkZEiGZuUHI2L17wQ8fIm7j08jDsPDuBlZBDOX1mF5JRYydi0tAScvbwckVH3EHRvLx6EHMfzF9dwLXAjalRrj+iYhzAzM4OHhwfS09Px999/48mTJ9i2bRvOnDmDc+fOYcuWLQgNDcX8+fORmZkpea8RERHw8/PD5cuXceLECezatQsPHjzAkiVLkJSUJBkbExODtWvXIjAwEIcOHcLBgwcRGBiINWvWYOTIkZKxiYmJWLp0Ke7du4c9e/YgICAAV65cga+vL16+fCkZq1QqsWDBAjx9+hRbt27F2bNncfbsWWzduhVPnz7FggULoFQqJa95+fIlfH19ceXKFQQEBGDPnj24d+8eli5disTERMnYN2/eYM2aNQgMDMTBgwdx6NAhBAYGYu3atYiJiZGMTUpKwpIlS/DgwQPs2rULJ06cwOXLlzFmzBi9/ublqOV85swZbNy4Eb/99hs+//xz9OrVC506dUJISIgmvt6QXL9+Ha6urjqfS0xMRNWqVTXi89tvv0VUVBSe8XWFAAQFBaFfv34Sw4Axop0rYQjEJaCio+n+lClAjRpkXTx+PGuJKb6YvnYGe2oqNAkpuuBFxLZtNKZFCyoZJK67GhGRVeSGhJD11dqaCsAnJ1OG//DhNL+mTUm4fvghPZeQQIldNWpkX3dUoQB0Fcdh4lR/VCqyCea0Znm5PtZVEUGtJqspX0d3xQo65oMHWYvwF1YNX0ORrxjUQYMGoVatWvjiiy9QuXJljB07Fu7u7ti1axf27t2LOHE13zzw9u1bjBgxAtu2bYOFhQU4joOVlRVGjRqFFStWaMb16dMHQUFBePbsGUaOHInt27drRDJAIrdfv344c+YMOnXqJDkHHx/l6OiIo3xRsRwoThbU+fPnF8oX9vuArhjUk2fno1tH41iPyb/K/4++uO8PfS2o+sZHGZINGzYgOjoac+bMgaOjI2rXro3Nmzfn6ELXl7i4OAwfPhxjx47FJ598gidPnsDDwwNeXl6wsLCAu7s7PvjgA4wZMwYpKSmYPn06pk6dKkl4/d///oeOHTtiypQpCA8PR5s2bXD16lWdVlhjivMvjD09YwZZpV68kFpEU1OhiT3VtkyFhJA4GD48a8tSffuhjx5NY5VKOm/TpnTcuDg63vjxwnmbNIHOBJfvvwcOHCArXVQUZYv36SPUWwXoPXAcHbdWLap3qlZzsLVVICVFEFd2dlRPlZEXsrdE67KcFhQLCzpmz55k7Q8JoTJjDx5Q8X5xDV/ewl7QGr76oO93RL5c/HPnzoWbmxtsbGzwyy+/YNCgQejXrx8yMjLwxx9/5GvCKpUK06dPx/Lly2FhQfEnCoUCjRs3zmLRiIyM1MS6Nm3aFOvXr0dKSoomjigyMhJmZmbZxlgBZF3N6fniyMCBA+WeglHRvLG866FSZSL4PiWRZGb2yzULsrAp7vtD34tNfeOjDImrqyvMzMwwadIkzJ49G0lJSZg5cya6d+8OMzMz9OnTJ9/HtrKyQnJyMr744gs0bNgQvXr1wtq1azXfs6VKlcLPP/8MT09PdOrUCR4eHnB2dpYcY/PmzRg3bhymTp2K169f4/Dhw9mGCBgThbGn8+Ou11VMPzCQLJfa4QA8ISHUtjQ0lMYdPUri0Nqazn39OrB0KbByJfDwIbnuAeDECRKnNjZkbT1wgASoQkFWVFNTsrIpFMDMmWQ5Xb6cjs3Hzw4bRucuV47qafKtOsXmLCZODYshxOnAgRRLzH9ddOkC/PsvdSNr2pQ+S5WKhOm5c7obQfA1fPNYkKlQyJcFVRfJyclQq9X5LvY9ffp0DBo0CM2bN9c8FhUVhX/++QdLlixB2Lv0tczMTDg4OMDHxwcDBgxAdHQ0nJ2dcfz4cXTp0gUA8MMPP+D58+c6XWPGdHVf1GzZsiVfdWqLA7osqNdvb8GHTeVbD2PL4i/J+0OMHN8R1apVw549e7LU51y3bh0mTZqUawkiY8KYvmMLY0/zFtSICGkMYE4WVJ7Hj4WYUhcXaUKKGHGHqjp1qFc6QBYxlYqslyoViUSFggTrxIl03mbNyBpmYUFW1dGjacyKFSREFQpK6GrbVhCu5cuTMFUqSTC3b09tUKtUIZGbk+WPkRcKdx1NTOjztLGhzz8uLqsIrVWL4o8tLEjI1qpFY+rUybqHxRdJLi7COCDn53JD3++IfMWgAsC+ffs07rKkpCQcOHAg38kFM2fOhFqtxuvXr3Hs2DEcOnQI06dPx/Xr1+Hm5gaO4zQJTXv37kXDhg3Rv39/AJRF6u7urilnkpiYiKNHj2LOnDn5fWvFlurVq8s9BaPCwZ6thxi2P+Rj1apVWcQpAIwcORIbN26UYUbFg8LY066u5AqdMEGIAeStT3z2fnaIY0rF/dPFiGNcIyLICubgQCIgI4OSXeLjKXFGoSDXcGoqcPo0Cdvbt+k4SiVZV+vXpySZ+fNJlHAcMG2aYBHlraOA8LNKFRI0urSDkYcdGy1F4SBTq+mWmEjilLeOiy+k4uPpp1IJxMTQxRYfmyr2AvAxrN7e1MmKHzd/PvD553QBs3QphYCIj2FI8iVQ//jjD/Tr1w97qECapuPHkCFDcOfOnTwda9GiRZg7dy48PT3Rs2dP9OzZE71798b69evx6aefolSpUjh+/DjmzZuHH3/8EceOHcPhw4cl5VgWLlwIjuMwYcIEuLu7w8fHp8S57/VBlXuV4BKFmmPrIYbtD/nIqTUz38SEkXcKY0/z7no/PxJyXbuS1cnPL3t3fV7w9SXLKS8s+JCCevXo+atXAScnGsNxQKNG1Lb0yhUStnzp719/FcpJDR9Oj2dkADVr0utGjgS+/poEZ+XKQMeOZEkdPpySsVJTSdyamACWlsI6sqSo/JGZUynaAlC9ujTeuEwZ+qlSkWWd/7xSUykGOSVFEMstWwJnztBnPmIExafeuEHVItzcaG+dOQOcOkUXK+3bkwfhyBFKxFKraT9Oniwc4/Fjw723fGn606dP49SpU5LWcmXKlMHXX3+NsWPH4r///tP7WNOmTcO0adNyHNOgQQPs2rUr2+fNzc0lSVQM3eiTIFKSSEhk6yGG7Q9GcaOw9rR2CajRo7N31+cVcYxrSAjdv3FDiFE0MaG6mBxHQvXmTYortbCg53x9gS++oELtpUqRYAkPF2JGvb0FEdytG7B7t2B15XnwQPhpZgZkZEhtWQoF3fSrgcooLBQKiisV98p4+5b2gbU1ufKrVBFinvn8dZWK9s+KFVTLd/VqKlXWqxd5AR48oD31/DnVUOXDPi5cEMqKmZvThcyVK3QxNGeO0OLXUOWr8iVQmzVrhs6dO2d5/O3bt7hx40ZB58QoJPLaRKG4U60KWw8xbH8wihuFuacNWUdSHM8XGkoCwcuLCvDb2UkTaNRqihu0shIspJ99RklTAFC3rjA2KSlr2ajq1ekcdeoAP/xAltXISBIe1tZCzU1eiCiVgImJIovlNC/iVLs5AMMwcBx9vumi5lRVq5K108GBrKZVq5JlfMAAujixtqbPokMHasZgakoXWCYmJG47daI9ERMDHD4sJE6NGEEXPHFxtPdevKBjxcaSBf6336hpha4kwfySLxe/UqnEhQsXNPc5jsOuXbswZ84c5lo3YviQDAYRdJethxi2PxjFjfdhT2vH+t2/TyJgzBhqjfrqldRCBlDt0shIctc7OABPntBr4uMpi9vCggRJ06YkcE1N6X7ZsmThcnEhq6xaTcfhEReEFwvSglpKMzMpcYdheLSjWMLD6bOLiCC3+507wMmT1OABINGqUgGXLpGw5N39ajWFihw7RhdAvFV9+XKyjJ49SwJVGwcHSrgzM8u5pm9+yJdA/fPPP+Hu7o66deuiXbt2qFixIr755huULl0aXl5ehpsdw6BMnDhR7ikYFR3bsfUQw/YHo7hh7HtaOyHq1CkSpFWr0vN791JCCp/awXeOtbQkC2dcHLlkHz8mq1h6OllSra1JlAQFkYgFgLlzKQEmOJgSW7RjInUl8ZiZ0bm0yWscqlqtuxsSo/CoUYMufo4fp6oNmZnklgdo7zRpAqSl0b7hH2/QgKyj4kTAx49JmEZECElzfKex1FS6BQXRRVF6es5JgnklXwK1QoUKuHbtGmbOnImWLVti6NChWL9+PR4+fIgGDRoYbnYMg7Jw4UK5p2BUnD4v73qYmVpgYF9fDOzrq6lJKSdsf8hHYmIiRo0ahe+//x4A8ObNG/z99984deqUzDN7vzH2Pa2dEAXQzzZtyOrZoAFQsSJZUk1M6L6LC2Vpm5vTY5mZUisax5FobdiQjnH2LCW7eHlRPcwjR4D9+6XzUCiyWuIAOrbYfcwwHrSrKYjr8pqYkAterQaGDiUB+fKlECrCcXQhY29Px+Efv3ePBCefCOjjQ0L2+XMKF+EvTAYNIvHr7EzW1rdvyarfs6dh66carA7q+4Ix1ehjFB266qAaE8bQSYpByPEd4erqisOHD6Njx46ShND+/fujX79+GDJkSJHMwxCw71j9GTSI3Pra1yEzZgCLFgF9+wI7d9JjGzZQHKBKJYgTjiMxUrYs8OYNPVapErnt+bqXACVTvXlDlq9WrUjkHj0qLbbPdzISx4sqFCRWHj0qrBVgFBTx52xuTs0VlEr6vPk4YjEmJnThIk664xs3cBxVczh2jKylDRqQiI2NpThVa2sqLQWQcH30iC5gqlQhQfzwoX4CtdDroDLeP/h+5QzixBm2HmLY/pCPW7du4eHDh/hQK9iwe/fu+P3332Wa1fuPsezpkBD6B9+wId1Gj6bHXFwo1k+7p/rgwWS9fPRIeO6bb4B+/eh3voYpb3XlxamFhRBTmpoqCNlXr0h0mplR1r+DA7ncxVY3XrCIk5k4jk96IZWjy93PyAuGN5SI9w7/GfL7wcpKSJLjPzu1WhreoVZTYp2pKbnyz56luOUmTehiKC6OrKVr11LGP19i/s4dSqYqVYqssz4+hu8+pZdAValUCDVkahZDFlxdXeWeglHRuoW866FSZeLew8O49/AwMgurSF4eYPtDPj766COU4QsYijh37lyWVs8M/TGGPe3nR/VEvb1JlIaE0O/16pF1SlfR/+XLybIVHCyttcrnfPHC08JCmsDEf43wwvO770iUOjrSa5o3p4QXvkB/WhqJ5ZwQC1bm7jc+tKs08F8j1avTXjIzo8+e/+wUCqBCBWnMcUgI7R1e4PJ7Q1dThlmzKCmqXj3go48Ad3eqOjFsmKHfmZ4Cddy4cfjoo48Mf3ZGkXL06FG5p2BU3A+Rdz0yVelYv7U31m/tjXQj+OZn+0M+HB0d8erVKyje/UeIi4vDjz/+iH/++Qd9+/aVeXaFR0gIubMHDaKfISGGPb7ce5pPguI4yqhOSBB63QPAzJnAX3/pLvrv40Mu01GjKA519Gg6lp0dHc/Ghtz1AD0GCGLV2lrIquY4SpiytCTB26QJzYEvP55dXrMJ86++F2jHDvM1bJ8/p888I4P2gL09PV6+PBAVJbWi8mEAaWlUgL97d6oAwXHA//4nLcCfmkr7sk+fnDuiGQK9tuCJEyckfe0vXryY7djExMSCz4pRKDRp0kTuKRgVlSux9RDD9od8/PTTT5g3bx7WrFmDhg0bonLlyvD09ETfvn2LbROS7FopGrJdotx72teX4gLLlKFi6NbWdFu9mh7j+6U/eCAVorxFSrs1anw8uefNzclF/++/dAw+C5vn7VsSILdvU4mqFSvIcpqWRm1PbW3pfGK0rWVly9KxtWGtTt8PSpUiqykvPpVKsqxHR+f8upQU4MQJ4F03eYSE0LF8fPRv6Wso9CrU//nnn6N58+aa+xs2bMjWonrs2DEMGDDAMLNjGJTY2Fi5p2BUpKSw9RDD9od8WFlZYfny5Zg2bRru3r2L9PR0NGzYEBUqVDCKCg+GRlxeadkyIdGDLwreoYNhrDJy7+nQUBKGH3wgjffke57fvUtj9C367+JCpaeaNRMK8/OF+2/c0F3+KTSUuv0AZFXNzCSxsX27dJz2a/kwAB4+maZkpVW/f/BJbsnJ0sf5Ml+2tlmfs7WlC5KICPp8v/4a+PNPKlF25w6FEfj6krU9IYEy/DmOvB6hobQvXV0poc6Q6CVQ69Wrh+HDh6NatWowNTXFzZs3MXv27CzjUlJSsHfvXiZQjZRk7V1ZwslQsvUQw/ZH0fH8+fNsn/vggw8AAGq1GseOHUNCQgJG5xYo+J4hLq/ECzdra7q/Z0/B2iWKuzKlp7ugZk3D/eMUH1uff8ouLvQPPTCQBLi1NR3Dy4ssmWo1CVh9cXUFFiygskEtWpAozcwUxKouXr8WMrQzM6kywP37ZKW1tKTHXF0pZGDlSnIZ8x2CAOHiQa0WMv0ZhsHUVHd5r7xQtixZzAHg00+BatXIO8Ef19SUPn/epc9/zYsz/NPSBMtqpUrkxThxgpKfXF2BrVupOkCfPmQ5PXdOyPBv2hQICAAWLiThashYVL0Eqru7OzZu3IgNGzYgPDwcUVFR8PPzyzIuNTUV0bnZjxmyUb9+fbmnYFQ4lmfrIYbtj6Lj448/1rsEU/369YudQBX3mxfDWxbzm5Pr50eWWf4f582btdCggWH+cWof++hREoutWwNduugWq66u9I87PZ2SSWrUAH7/XbBGAiTG27XTb3516lDB/RkzKBtfXzhOsJ76+1NdVIDu8xcKw4eT6L12jebLJ99YWAgJXA0aUBwrs6IahoKKU4VCEKcAiUoxHTpQJYhy5ajhw6JFwnPm5mRpLVOGQkeqV6exaWlCclVaGonP9HTaI598UnTeDyAPZaa+//57nD59Go8fP8Y333yDZ8+eZblFRkaykihGzL///iv3FIyKR0/Zeohh+6PoGDNmDBYuXIh///0XJ0+exBdffIGRI0fiyJEjOHXqlOY2ffp0/PDDD3JP1+BkV14pNTX/7RJ1dWWaNcsLw4dLkzzyg/axhw6lGqIWFuQ+X7tWd/wsX/BcoaDn+H+PvDg1MaHuUHmZ388/U4KTLpGYXRmoDh3I8tmhA8UT3rlDAkSlIpHCl7x68oQsumq1MMf4eOE4QUFMnBoTHKc7Tpjn4kWymPbpQyJVHD+cmSkU6V++XEhQjIujsbytMTycrOs9etAezq65BN8S1cfHcO8vX3l648aNy/Y5d3f3fE+GUbgMK4w6EO8xrZsNk3sKRgXbH0XHyJEj8d1336FLly7o3LkzHB0dsXbtWnz22Wfo1KmT5jZ79mxs1w4WLAaIWymKyysVJAFD1z/OUaOGGuQfp/jYERGCWH35klysbm7IVggPG0btJnnq1qVEqOBgOsaFCxQDmJf5mZmRBYy3QPPCQ9sizZORQet79y51qQJIoJiaktBu0oRqXMbG0vqbmJD4ycnCZ2Zm+JjDkkxek8/48eIyYNrHsbYmgXrkCFndzc0Fy7haTZ9zcjIwZYpw4cFXhgBof4aEkFjl93dwcOF4P3SRL4HatGlTAEBYWBj27t2LgwcPIi4uDgBQvnx5g02OYViWL18u9xSMinOX5V0PM1ML9Pt8Bfp9vsIoEmHY/ig6ypcvL/muNNUuZviOmzdv4saNG0U1rSKDtyzqKq+0fn3+XIS6wgaWL19ukH+coaE05z//JGuUuTmJaQcHOvaLFzlbkE6eJEtXq1ZUbD8+nuL6Jkyg15Qpk7f5hYZSdyi1mkIMatakx11cKCELIKHCi5WXLynEID4eOH1a2omKR1zpTpwcBQD29nEa0c/TubNQl5VBmOkVNKmbvFqmsxvPccLnm5xMvwcF0X2+DwhfbJ+/AOHjimvWJAEKUFUNvvi+2EL65o3hvR/ZkS+BmpmZiR9++AG1a9fGV199hT59+qBSpUr45ZdfDDczhsGZNWuW3FMwKj7tLO96mJqao0ObsejQZizMtevEyADbH/JRvnx5jBs3Dvfv30dKSgpevHiBjRs3ol+/fmjbtq3c0ysUhg3LvrxSftAVNjBr1qwC/+MMCQGuXiVX/tKlQg3JZs3onzh/7JyEcGgoudavXZOW1WrenIrov3qVt/m5uJDYVCrpPX/xBVlhg4PJSgoI3aYUCrL6bthAQlilosctLQUrWm7Ex5fNIkj+/Zfeb14o7iWqcu+3krcF0LZb8PVusz26jgsP/neFglz+f/1FxfbFee5WVrQfnj0jj0CbNuQlEMPv73LlDO/9yI58CdRffvkFx48fx8KFC/Hff//h4cOHOH36NNLT0zF37lzDzY5hUIyl7Z+xwFqdSmH7Qz5mz54NCwsLNG7cGKVKlUK1atUwfPhwlC5dGuvXr5d7eoWGdp3PgiRX6Aob+P33+QX6x8l3gXr6lO6r1eQGt7Sk5gJjxtA53dxytiDxlicA+PJL4PBhEo2DBlHRc6Uyb/NzdSXX/IcfkuVz9Wpp6SCxFZnjKLu7WTOpeP/ySxId2tZS3QiKx9paELWGsvqVHPK2ANrue94iWqqU7vGenhQvyiN2zPCtTOPi6KLrzz8pY9/cHJg0iZKt3NyoVe6DB9lbSBs3Nrz3IzvyZZC+cuUKgoODYWtrq3msTp06aNeuHYtBNWLYZyPlo9byrodarcLTsHMAAJWqY7Zu3qKC7Q/5MDExweLFizF+/HgcP34cSUlJqFevHnr27AmzgvgNSxB82MCIEVQrtGlT4Nat6UhMzN8/Tj4xqnFjShSZP58EqZkZCYUdO0hw9exJ/6D1EcIdOgCbNgEHDlAm/eXL9HinTvrNT1zm6rPPgGPHhCxqQBCbaWnSSgEnTkjLCgHk9k1NJcurWk2/W1oK709MuXIczMwUeP1aKlyY4Cw6+LhgjgMSE7N+ngDFkorhP3++goOVFcVI+/rS5/76NR1j1y668JowgX5PSKDf+XhubQtp7dq0l318aC+OHi08bkjy9c3XunVriTgVEx4eXqAJMQqPbdu2YezYsXJPw2i4FbwNHdrItx7KzDSs9usKAPh7RVK2f1NFBdsf8lOjRg2MGTNGcz/1nRpgIlU/hg2T/uNs1eoWVq9uma9/nHxiVN26FGs6ciSVk1q7llz9SiX9479+nQQqX8Bc17kSEsgSe+kSWVPt7EicKpUU9+fklPt8tMtc3b5NIqVLF8GNf/s2hQy0bEljOnQg9z9AljVzc7KgKRRkuQXI7f/iBf2eni6NReV584YE9evXwmO6BBKj8FCrBaEJ6Lf2HEfC0ceHPq/oaODgQQod4Jt+mpgAYWEUcrJ+Pe33+vVp/2/ZQvs1IYGsuXxMKqB/c4mCkC8Xf1JSEu7fvy95LDQ0FO7u7qzYtxHz8ccfyz0Fo6JmdbYeYtj+MD6uXLlSLLP4CxNx2MCiReb5turwSVe1agmxrbVrUy3Jjh2p7I6ZGcXkjR5N1syHD8ltP2OGULYHILd/VBS5SMeMAT76iKxdQUHkWs0t/lRXCa2ICMqsPn6cBHPPniSkw8Ioa3vePKGtKUCxp82bk5VULG6ionSfU3pNpMCdO9LnmTgtenhxqm8sb/XqFHtsYyN8Xunpgjht0YJCRRIS6OKO48i9b2WV9RxyxA/nS6DOmjULffr0QYMGDdC2bVvUqFEDtWrVwt69e7Fy5UpDz5FhIEINWf+hGBAbFyr3FIwKtj/kw8TEBKampllu3bp1Y9+pBaAge5pPuho8WBrbmpoK3LpFiU1KJbnr69YlwSpOgBLXReXjY5ctA377jcTzb7/RfXFYQEgIiVttkatP7UldVQyCg8ld7+QE9O5Nwnb8eGlsYnadoXJP+MkZmSOWigX169NFhzbaFwfdugHff59VRIaFkUWdT7aqUYMs5jxNmtBPa2uKX+Vzdc+epT0bG0v7OTY2+zJqhUm+/EbOzs4IDAyEj48Pzpw5g8qVK2P06NH44YcfYG9vb+g5MgyE3DGOxoaJgq2HGLY/5OOTTz7BoEGDYCJKqVapVNi3bx+++uorg5wjPT0dLi4uiIyMBAA4ODggPDwcNjY2CAsLw/Tp01G5cmVER0dj0aJFqFSpkua1HMdh1qxZiIqKQkpKCgYOHIjevXsbZF6FSUH2NN8FavlySkJyd6fYVktLcpPzsa0cl3tnHV3xsYGB0rAAbRe+uH2kPp23XFzIijttGrnsXVzop0JB86lVi14TEUGvEVcvs7WlXu3awkfsUs4rBe2SxKDkPD5RysaGPiMx/GMnT2Z9rb097dF27agBQ2Ii7alffgF27ybhu3kzXWDx+zEjQxCzhdGGOK/kO7DJxsYG48ePx/jx4w05H0Yh4qRPoFMJonQpth5i2P6QD09PTzRu3DjL4w4ODnj27JlBzrFx40YMGzYMFStWBADUq1cPNjY2SElJQbdu3bB69Wp0794de/fuRe/evXH58mWNwJs5cyZCQ0Pxzz//ICUlBfXr14eTkxM+5AsrGikF2dPaovLDD8mi+vYt0KsXidHatcnSyVs3c/qHrh0fK04sya195IgRJC5SUyGpR8pnVg8YQPGtcXHk7m/ZksbHxtK4+HhgyBD6/e1bQZzyAjQ5WdrT3dmZxC1fpoq58+WBF6fm5lnFKf+8qSl9Pmo1UKEC0LAhhXbEx9PF1OnT0gsh/kIlMZH2ztattB9dXYF168jlX6VK0RTiz418ufgZ7yfXrl2TewpGxfMXbD3EsP0hH7rEKQBUq1bNIOW/1Go1Tp8+jXnz5mHSpEmYNGkSevbsCQBYtWoV0tLS0L17dwBAnz59cP/+ffzzzz8AgBcvXsDT0xOurq4AyDjRq1cv/PTTTwWeV2FT0D0trtVaowaV43n0iMpE8bGt+lg3ebIrq5WbC5/jsq89GR9PwuK//+gYKhXVba1QQXCzKxRUKaBdO2lXq7FjKQygcWNpT3dnZzpWrVpC+1SFguJtc0KhENzEDMOhUknd95aWFLZRvToJ0w8+oBJSbm7A0aPUDAKg59zcpPWFBw+m/ZSRQW79336j/ffmDYlWjiNBq28h/uzCUgwBE6gliH78rmUAAJo0ZOshhu0P+XB1dc1yGzRoEHr37o3KlSsX+Pj+/v7Yv38/Pv30U+zdu1fy3O7du9GiRQvNfVNTUzRt2hQ7duwAABw4cAAZGRmSMS1btsTp06cRlV2GjZFgiD2dW61WXQ0CgLx11hF3qhL/o+dFbkICFVj38aEYwurVSaD4+ZGgaNKEXLaRkUIrykePgL596fh16wpxsFZWZC0FgI0bSeRGRND9ChXo561bNPbJEypZ5eKiAscJtVy14bcGx0ljWqtVy/29M3JHraa15S840tMpBrpCBWDuXODePdpvvr50cbF3L5VFU6vJqu7sTK9LTaWLHr7L2IYNdAFUujT9rlDQ8RIT9SvE7+dHsdbZxV4XFCZQSxBeXl5yT8GouHRN3vUwNTHHF90X4IvuC4yikxTbH/Kxa9cuPHnyBM+ePdPcYmNj0adPHxw8eLDAx4+IiEDnzp1x9epV9O/fH0OHDoVarYZKpcKNGzdQTss05ujoiFu3bgEArl69ChMTE5TlVc275zmOw+3btws8t8KkKPa0rgYBee2sk5BAnaq0/9HznaoSEoCZM0lIVKpEQjQhgUIGypYlAcpbcRs1Ind/mTIkpuvXp+oCK1dSTGN6OllLTUzodTY2FG7Qpg2FBgB0zFathDjS0NDsY3kbN6Zz6uL5c72XkSFC2xrPo9316+pViikdP15aUeLBA+Cnn7IvqD93LnkFatUiS3n16vS6hw+Bn3+Wvq5dO7r48fGh2rt8uEdOlSUMlUyVrxjUv//+G7Vq1UL//v0LPgNGkcFaWUqRu9WpmZkFunb4EQBgYSF/D0C2P+Rj3rx5GDduXJbHT5w4YZD6uBMnTsTEiRORnJyM6dOnY/Xq1WjevDmGDh0KlUoFB61U4VKlSiEmJgYAEBUVhTJlykAh8jGWetfKhh+jC6VSiZs3b+Y6Nycnp0KLfy6KPa1PApQ24oL7pUtTcpNCQd2dVq+mMe7uVJIKILe8rvhUHx+gdWsSGidPCjGqvOX18WNqMsCLCr7QO0DWtdu3KQaVPy8vjKKjtWMes/9+Cg4W+rfrQqGg8Ai+G1fJRr/v+bQ03Y9rV1xQqymkYulSut+xI+0Tfs/pinu2t6dWp3wy3ps39NncukXjXF2F102cSCEDJiZ00XLqFF04rV9PYlY79jou7hWGD4/Ezp2N8ddfMRg//mU27yOb0hFa5MuCumDBAgQGBup8jmPR1EYLa2UphbU6lcL2h3zc5Ruoa9GqVSv06dPHYOextbXFqlWrMGjQIKxdu1YjOq3FmTegCgK8VV+hUOh8HkCOlv+oqCi0bNky19ukSZNw7949LF++HAkJCZp96OHhgdjYWKxatQpBQUE4cOAADh8+jJs3b8LLywvR0dGSsSkpKfD09MTDhw+xc+dOnDx5EqNGjcKGDRsQHh4uGatSqTBv3jyEhYVh8+bNOH/+PM6cOYPt27cjJCQECxcuRFpamuQ1kZGRWLduHa5du4Zjx47B398fd+7cwYoVK9C3bzzGj1+FUaOAmJi7+P77NMycuRktWwZj3759OHLkCG7cuAFvb28sXRqP+vXV8PYGrlwJxaZNHNRqDv/7Xzw2bVKjYkUlOnSIw86d6eA4DmXKxMLenoOT0zxYWqrx119/ITr6Odq02QpzczVu3VLBweEY4uM5dOkShNjYVPz++3zcugWcORON5GQOLVs+xuTJocjI4ABwsLBQA1BDqeTAcZkYPRpISOAQFcXBxiYVNjYqJCXRWLqp4OycCYWCT80XnlMoOMl97ZuJSeY7cZrzOOFmDGPlm4uJCQeFQp3rWH7dlUrhse3bOdSvr8aGDcDkyaswfnwihgx5ipcvX6J79/Nwdj6OWbM4tGoVjPv3E1GmzEEkJAAmJpm4epXDsmXpaNCAw6RJt3Dq1GkcPcqB4ziUKqWGvX0orK0BlYqDmxuH/fufok6dZBw8uAsnTpzA5cuXMWbMGLRv3wIJCWexYcPpbP/m9Q0NUnD5UJQ7d+5ESkoKhvFRtyKWLl2KSZMm5fWQRUaVKlXw4sULODs7I4IPvCkhpKSkwEbcqLcEsWRO1m2ekZECCwv51kOtViHiFVmYFq1qKXuZp5K8P8QU1XfEnTt34OHhgaioKDx69Ah169bNMiYsLAwZGRkG79B3584dtGjRAunp6bCyssKoUaOwYsUKzfN9+vRBUFAQnj17hpEjR2L79u1I5Kt7g2Ja+/XrhzNnzqBTp06SY/Pr5+joiKNHj+Y6l8K0oBrbng4JIQuU2Bo6YABw4QIVzD9+HPj3X6Fs1JkzwMuXZCE9dSrr8dq1o9AANzdyybu7k1XL0pJiFAGKW2zQAJpC+5aWQrcoMzOyqPKufCcnsqgplWT5VKspDCA6msO8eQq4u9PjukpImZqy0lK5w0GXFVXX2olb1eqCf97cnFz7b94ISXO+vjSmTBmh61h8PLnoL1+mCg3h4cJenD+frK5ubhSz6udH+3L7dnLZr1olWO7d3SnGtFkzCuGIiBAS+169eoVnzyLRs2dj9OuXvQW1Z8+eiIqKyvU7Nl8u/g0bNiAkJAQrVqyQ1D1NT0/HjRs3jFqglmTWrFmDqVOnyj0No+HitTXo3F6+9VBmpmGpVxsAgIen/K1O2f4oWho1agRvb28MGjQIdnZ2qF69uuR5hUKBDz74AG76BDHmkZo1a6JKlSpQKBRo3LhxFotGZGQkWrduDQBo2rQp1q9fLxF7kZGRMDMzkyROaWNubp7j80WBse1pcbY+7xY1NSVxqlYD331H//w//ZTEgJcXUK+ekISlXWLq4UPqIOXnJy2FFRtLQtLMjAQpL04rVgRiYmgOCQnSGqcKBQnXdu1IxPAitm1bYPNmDj/8oMCwYZQxPm1a1vfGCyyxAGZIcXB4i9jYrJX3dQn7nMQp334UoM+ULwl27hy539evJ2F66ZLukBArK+qIxre+XbiQ9llEBO3RPXuAEydo/4hDP6yt6f6WLZRIxcde89UnypRxgp+fE5KTgZkzK6F27Uo6569vzkW+BKqTkxNiYmLQoEEDSWFptVqN5ywq2mj5gm/KzAAANKzH1kMM2x9FT+nSpbF3715s2rQJI0eOLLLzXr9+XVM26ttvv8WSJUs0z2VmZuL+/fuY9k6FfPPNN5gyZQquXLmCLl26AACCgoLQvXt3TSyqsWJMezokBNi/n/7p//knWa7mzQPeFUuAQkHW0u7dqSuQuTmJkDlzqEuVWAiIk7CWLaPXi7tJ8bGEpUsD/EdrZ0cJWJ99BvzzD1CzJgkMnnr1gJs36fixsUJJqX/+ASwtOaSlATt3Us1UHr5GKh+eXKUKWeZKlSLhHRdXeOtZqRKd+/XrwjuHoYmNLZv7ID3gxSlAFxkcR/vl2jWydpqZkeVbu2TZli10AePlRaXJTE3pguXffylxzsFBiF/ma+Vm52O3sMh77HVeyVcM6tixY7Fp0yZs3LgRfn5+mtvGjRuxbt26fE8mLS0Ny5YtQ9u2bXU+37dvXygUCs3t8uXLmufS09MxZswYjBs3DgMHDpQ8xyCMPeO2qHkZydZDDNsf8mBpaZmjOH0rLlCZD+Li4tC3b1/8+++/AIAnT57Az88P06dPBwC4ubmB4zhNQtPevXvRsGFDTRJshQoV4O7uDn9/fwBAYmIijh49ijlz5hRoXkWBsexpvhzPs2ck/ry9SRD6+VGWvacnCQELCxIIGzeSyFy/Hvjkk+yzsXkhIC6F5eBAFtIJE4Dr1wVLHF/P9PhxSopKSiIhw9OmDZ07JAQYOlR4PDMTSEsjqSAWp2Zm5GY2N6e529oKSTyJiUJpI0PDdzqKjhaqERgj+vSut7CgdSsIkZF0LqWSLJ1nztDjfEF+Hl54pqcDP/xAlRdKlaKuUn360DGOHSNre2AgJbZlZpJLX1ydwt2dHu/YUVonuGJFoYKAjujPfJEvC2qLFi1w4cIF/PPPPxg8eDDevHmDU6dOoU+fPujRo0e+JpKZmYlt27bB29sbyeK/gnc8fPgQ5ubmmit9W1tbiZAdPnw4XFxcMHfuXLx69QrNmjXDtWvXUI0VYtOgXUqmpGNjzdZDDNsfRcfLly9RpkwZjcs8O8+TSqXC8uXLJRbOvGJlZYXk5GR88cUXaNiwIXr16oW1a9fC4t1/+lKlSuH48eP47bff4OLigjdv3uDw4cMS79jChQsxZcoUTJgwAW/fvoWPj4/s7nt9MIY9LS7HM3480Lw5CcTDh0lk+fiQ2DQ1pXi/qCjA358sUvw/+ty6UPEVAVxcKKPe0ZHEiEolxDeKa5heuEClhcLChMf27wdmzybrbk7uZZ4KFYCvvxYsuElJdOPJJu+vwIi7K9nbG68FVWx5tLUlca9QcOA4QblmZAjvJ7uYU0tLepwX/7raz/LnSk0lK3xmptA5jIcPCeErKjx/Thb0ypVp/Nq1VGLq22/JCrpoEVnzN26UtkONiyMxy4d58BdHhUG+Y1Dd3NzQrVs3DB48GOXKldNkm65ZswYu+lQm1p6ImRmGDx+Ohw8fYvv27VmeX7lyJVauXAlHR8csz127dg3btm1DyLsWBk5OTmjevDn+/PNP+Pj45HkuxRXtTNySjrk5Ww8xbH8UHY0bN0bPnj2xZcsWAEDnzp0RJlYL7+A4DgqFosACNSAgIMcxDRo0wK5du7J93tzcXJJE9b5gDHtaHHcaHk4u9o0bBVHRrRuJj/XrBUFatqzQppRHlxDw8yPxy5cMOnZMcKtXqEDiZ9gwQUSK0b4miosDfv+dhF9uAtXMjJKwdB23qEhLy74ck7GRmUkClOMUEiEqbiMrXvPff6cLBYAsnrw11tycLO98THHjxsLvNjYkghMTafyyZbpDQj76iPZGly7UBvXqVQoF2b6dXhsURHv2k0/op5sblRy7e5eOo1DQhZIhXPi5kS/j+KJFi7Bp0ya0a9dO85iLiwu6d+9e4IB+Kx0Val+9egUfHx/07NkTixcvRrpWBPbu3btRqlQp1BatWMuWLbFr1y6o9bkULCE8evRI7ikYFdFv2HqIYfuj6Dh27Bjmz5+vue/u7o65c+fixIkTOHXqlOb277//4uuvv5Zxpu83xrCn+bjQbdvIzX/5MrnTedFhby91i8bGCpatnNpIahdKHzoU70oG0fPR0XScFSvI/aoNx1FcqjbaJSo/+QQwM5P+H9W24PFudz6MQBtb2+yLz+vjCn/fSU/XLfp1xXeamND4Su/yiypWlI7jLdPOzlTB4dEjCv3gqVaNhGV2ISGNG9Pe+e032ouPHpHLv1w5uvAYNUpquX/4kFr8du1KPx8+NJwLPzfyJVAbNWqEIUOGZCnfkZSUhCtXrhhkYmKCg4M1ZQmmTp2Ktm3bIjo6WvP81atXdXZCSUxMxJMnTww+n/eVbt26yT0Fo6JOTbYeYtj+KDpatWqFKqL/KlWrVoWrqyu6du2KTp06aW4qlQp///23jDN9vzGGPe3iQslHYjF56RLAG6xfvxasnrGxZOHiOKB9+5zbSIotsxERlKzSuDEJW7HoU6vp9XxWvxjeJc+3RNXG1JSSrCpW5GBurlvQAmSptbUl4WpqShY5vsCPgwNZ9rKzFelb6NLCgqobGDtPngiCXQxZUHO3TqvVJDz5kAwbG+Gigy//BVDsaZUq9LlHRJCV08SEPoecYkO1O5/Vrk1itUwZOr52hYbcWv0WJvly8Tu/i34WdxYJCgrC0qVLUb9+fcPMTET37t3RvXt3cByH9evXY9y4cXBzc8OBAwcAUEFoXZ1QAOp0UqdOnSzHNIYuJ0XNxo0bWbcgEddvbZS1m5SpiTm6d/4NgP5lNwqT4r4/Xr16hVd8ccgc0LfLiSH577//8M0332R5vFWrVujVqxcuXrxY5HMqDhjDnnZ1BRYsINGyYIHgcj12TBjTqhUJhPh4EjFffUXdgXR1j3JzI8vX0aMkGMPDybKlVtPvdnZZRZ+pKYmeTz+l8AFxV6cBAyg7f8wYct2KraMqFdCkCcBxJjA3FwStuTndunShckRKJfDNN/TY5s1kya1UiVzGsbEknBwcSFTpg3Y8Zr16JLTE9iaxe9xYMDMDPv9ciCsFaO3NzOimnV4zZAiwdatw38KCXnv6NN03N6fEOjH8upQvT9Udzp2j++3bA+fP0+tnzBCqRGiTn85ncpEvC+p3332HkSNH4sqVK/j777/xzTffoGXLlsjIyMCyQgxKUSgUGDlyJFasWIGDBw/ixYsXmsfz2unEGLqcXLx4sUi6nMTHx8PDwwOzZs2Ch4cH4uLisHLlSgQHZ+1y8vr1a8lxU1NT4enpiZCQEOzYsQOnTp3ChQsXsGnTJjx//hx//fUX1Go1PDw8oFZTl5Pnz59j06ZNuHDhAk6dOoUdO3YgJCQEnp6eSE1NlRz/9evX8Pb2xo0bN3DkyBHs27cPwcHBWLlyJeLi4iRj4+PjsWLFCty5cwf+/v44duwYrl27hnXr1iEyMlIyNi0tDQsXLkRISAi2b9+Ox8/O4GnYeVwP3IzYuDD8e3YeunWcoekmdeKMB97Gh+PqrQ149vwiHj05icA7OxEV8xBnLngiIyNFMjYpORoXr3kh4uVN3Ht4GHceHMDLyCCcv7IKySmxkrFpaQk4e3k5IqPuIejeXjwIOY7nL67h+u3NaPfhKJiamMHCwgIeHh5IT0/H33//jSdPnmDbtm04c+YMzp07hy1btiA0NBTz589HZmam5L1GRETAz88Ply9fxokTJ7Br1y48ePAAS5YsQVJSkmRsTEwM1q5di8DAQBw6dAgHDx5EYGAg1qxZgx9++EEyNjExEUuXLsW9e/ewZ88eBAQE4MqVK/D19cXLly8lY5VKJRYsWICnT59i69atOHv2LM6ePYutW7fi6dOnWLBgAZRKpeQ1L1++hK+vL65cuYKAgADs2bMH9+7dw9KlS5GYmCgZ++bNG6xZswaBgYE4ePAgDh06hMDAQKxduxYxMTGSsUlJSViyZAkePHiAXbukXU70+ZvXt8tJQblz5w4GDhyIrl274sCBA+jatWuWW8uWLQ1epL8kIYc41XbLA1R7Mj2d/vmLXa5+fiQQypUjq2ObNlTyp3ZtwToqLhX04YckUDZupMfCw0m8HTlCRfYjIoBDh+g5sc1GpQI6daKs96dPSTTx7N5NVlk7u6yue4AXgSYa17+5OZ/ZTyKJb5/q60tWNj4uNDJSEFNqdc7i1MREsAyamdF43pJnYkJu5XPnSKzxVuCCitOcQgvym1mfmUmWSnFlAZWKPnsSpwpN9QOA1lJctEj8nkxNyXrKox0+8fo17YOnT2lNzp+nx8uXz2pt16aws+8NRb46SQFU+mTVqlUIDg5Geno6PvjgA4wbN67A1sY//vgDGzZsQGhoaLZjVCoVKleuDH9/f3z00Uf49NNPERkZiWBRQ+AlS5ZgypQpCA0NlRTANqYuJ0UNL1JLIro6SZ044yGrBVXM5F/lD8Qq7vtDXwuqvl1ODEFCQgIGDRqEJ0+eSGL6AbrwtrW1hZubG5o1a1ao8zAkxtStr6j3tHbSkriDz8WLZP188YLc/m5uJFSdnUkgiK1dgwaRABF3j+K7UDk6krVs7ly6b29PVsrSpUnA/fQTWUJ5K6T2f3hzc2mc6QcfAPfv5+Z6pg5I+SnCb2NDojW741esKM3EL12arICTJpHgW7RIeI6vSGBvL63hKif6dtCiz4PWUdtCbGUlCHszM7Kgly5NQtPUlKzo48fTvjE3p7hRbRQKysQfNUqwtvv5kfA0JqsooP93RL5c/ABQtmxZ2f6ZmZqaonr16poYrqZNmyIoKEgyJjIyEpUqVcq2zJQxdDkpambwl/MMAEC3jvKuh1qtRlTM/Xe/N5SU9ZGD4r4/9L3YLMpwC7kK9ZcUinJPi5OWtN3yvr4kIJ4/p/JOoaFULD0sjFyr2rnFLi5AQIC0exQfc8rHDfKu2nf9FpCQIJQM8vUla2vr1kINS95Kqf01ExIiFbHly1Pxdl1lj3hxmheBmJKSs7VSLE7t7SmM4MMPySocHEyCTKWiuahUdKyczi12/Ts5CS1fs8PZmS4atGncmBLN9A1LyAk7OzrPo0c0N35t69cnq/k//5AQrVOHPo85c+giw8KC9sL48XScatVoTQBaKycnOqZCQRdDH3xAz/GF+ffsoeMUVhmowibf/xFXrVqFJk2awM7ODhUrVsS3336LZ9rBEoVEYmIiqlatqhGf3377LaKioiTnDwoKQr9+/SRxsiUdlmwh5dR5eddDmZmKv1c2xt8rGyOV/y8iI2x/yENuhfojDfEfsoRSlHtanLSk3cHH3h5o2JASozw9Kf7U05PuDxuW1cKlncgCUPylpSXFdfKCdtgwspjxMZ4ZGSSGNm0CPv6YXmtuDnh4CAJPqZS6+DMypAL17VsStp06UXwp7+5WKOhYTk403sxMt/BUKMj6J6Z69awJWrqIjyfL840bVO7IwoJeywtlKyvdrn1xhJ/4ebHA1nX9P3EitXZVKIQbQGsYFAT88Uf2c3VwIMH44EHuIQFJSRRjzM8tM5NE6KNHFBahVNJn8+iREAcaGkqhH48ekUj9+GMqwh8RQfG9/FpZWdHabtkirfLAF+bPwRmtIadqEXKSL4E6a9YsjB8/HuXKlcNvv/2GP/74A46OjujRo4emFml+USqVyNQKhHF3d8eqVaugUqmQmJiI6dOnY8GCBZrnmzVrhj59+mg6nYSHh+P27dvF3iKUVwYPHiz3FIyKFk3Yeohh+6PoeP78uV63Z8+eScpRMfJGUe5pvpyUdjkla2tqO3nnDiUSTZlCyS1TplCh+w0bgMePpa/hraPiUkEHD5I1cPVqoUD/jBl0XrWaXP9BQVQyyNJSyCQvX54Ep0JBwvR//wN+/JESs2rWJOEmFm/9+lGXoKtXaZ7ixB6lkoSRvT2JLD5TH6DORbwIE3fAtbcny7Gu+FYesdC9d08YO3WqkBjFhwoAWbPks7u+562zJiZCPKd4bhs3UtMCPo52+XJ63NKS1nfsWBLkPXpQEXtxH6LevUl48hcG2mgLYhsbwMpKUM9//knvm39tr17SEk4uLkItXDs7spymptKNf3zHDrJQK5VkkRfHnaamUvJTbmXp+S5n2VWLkJN8xaBWrFgRX331FVatWiV5/OXLl/j999/z3e50z549+OOPP3Dv3j14enpi8ODBcHR0xE8//YTVq1ejQoUK6NSpEzw8PDSVBHgSExMxbtw4lC9fHq9fv8bUqVPRvHnzLOcwpvioombz5s0YKu5hV4LQFYN6PXAzPmwm33qkZyRjhgd9WyYlJcG2oD3vCkhJ3h9iiuI7wsXFRa/kJ75Qv0qfIDcjwZi+Y4tyT8+YQf/cIyKkFr3UVCFh6e1bqYBNTdUdg8rz+LHQPap0afp9+HBygY8dS49ZWQlubFtboGpVsuoBdF6+U66VFbno+aoCtWsD331HcYt8MXhTUxK7NjbSrlDm5ko0bWqOmzelVskKFcgNDtDrmzUDbt2SvoeKFel4YgdrhQo0H5WKOh8BJLDj44Uwguw6KxUGZcqQUKxcmdZ84EASdt7eNIcxY2jdfH0pCe3OHWF+2jGo4jhd8Xv4/HNArb6Lc+c+QEoKVVNwdKSLgWnTslrRQ0IoAa50abKaq9VkOY2NFURtqVJ8hyqhPe3mzSRMly3LPQaVj2vWFZZSmPGrhRqDWqFCBU2fZjGVK1cuUImW/v376zzuggULJBZTXZQqVQob+dRGhk5q1Kgh9xSMCoeybD3EsP1RdLi7u8PExAQtWrSAqdjfqkVmZibWr19fhDMrXhTlnnZ1BRYupH/u2h180tMp1lCXdTUnN6x296h27ag80Pr1ZNlLS6PWqF5elP2/axdZ4Zo2JZevpSXFOdraksiZPx/45RcSMRkZJEL4ufXtS1ZCCwupRdPUFFAqzfDggSC2eOGVmCiM4zjd7U11tSKNjib3eEqK8Fi1auTaNzOjY4lFHx9ekJlZMNHq4EA1Z7WPwdeh5S3ZCQmCdTI9nSyUfEJa06Y0H/4Y2teO6enUTvTZM2GMnR19Dg8flkNqKlmva9Qg93521KkD9OxJsbj29rQufLRP6dI0x6QkEs0A7Qt7e5pbq1ZCd7KcBCYfljJhArW55dvlTphgHPGr+RKoPj4+OHjwILp27Sp5/M2bN7h//75BJsYwPNqhEyUdtdp41mPFfA6WFtk7M4oiy5/tj6Jj5MiRUKlUKF++fI7jgoOD4enpWUSzKn4U5Z7Oqb5kz55Uu1Sc9AQIbtjRo/U7x7BhdJyNG4EOHcit7uZGImToUAoDAGgML4Z5qysArFpFVreEBBIxH39Mc+7ShbL/AbIEZ2aSuDU1JZFWunQmGjY0x+PHlEDFCy/tVqMZGSReS5cWRB8v1AGy/AYF0bgyZagG6+LFdK5bt6jmalqaIO54/+7//kfWTS2nbY6IrZe8VVOtpnMEBub82iNHhN+trSleuFMnqj0LkFWYF+dVq5IF28xMWA/tNrIcRx29MjMrYs0auhDo0iX397B0KXD8OIlGJycSqPHxZKUHKEaY70XRoQN91r6+FLt64EDu1s/QULLiNmsmiO+AALrQqlNHv/jVwkSvGNSmTZuiZs2amtugQYOwevVqyWM1a9ZEgwYN8NFHHxX2nBn5hCVbSElMYushhu2PoqNs2bJZxGlycjIiIiKyxKGyWPr8U9R7Orv6kkuXZk16EvdHz0uH8Ph4sqTu3Cnt7GNtTcKQd/uL5+TnR7+/fElu44AASriJjycrHH/+n36ipJzWrUmkpqSQkKxSJRZ375I4BYBGjchSZ2eXNVFKrRbEqYMDvU8+HjMoiI7bsSNZW589I/GWkUGWyOfPBXe7OPhw3z6pOBU7HcTxqGXL0vvXTtRKT6dx332X9/qpFSvS+c6epde3aEHi1NKSxL6dHQn9SZOETlvaVtXkZBKA8+cfxbVr+n/m/EVPcDAl1t25Q7VveUe1uHEB3xFKqQT69NHPNV+6NO3P774j0XvqlNA298EDaYyxHOhlQe3QoQOioqLQoEGDHN1RADB27FiDTIxheFq2bCn3FIyKKpXZeohh+0M+Vq5ciUmTJkFXSoB2lzyG/sixp7Xd8jyG6t6jqwQVQPcTEoTf+ef42qwACadr14Du3en59PSs569dm9y93buTmL14EXjzJgGDB1fE9es0ZsECCi1wdc0q+KysKCns2TP6+eAB8Mkn1BAgI4OEIl8Xde9eeo1aTfN5/JhE7cqVQmklIOs5xAIwI0MoLeXoSGuQmEhWxMREYay1NcXbZheF2KYNddsCqOLCvXt0XLEVcfdu+mlpScdJTydR/eoVxXDyRSNKlaLasnXrCmEM0dHAn39+hrS0vH3m7dvTT0dHOq+zM1nEx4yh20cf0QVDfi94AOPryMWjl0AdO3Ys7O3tsyQm6SJN2+bPMBr27duHH3/8Ue5pGA3B9/ehawf51sPUxByd20/V/C43bH/Ih6+vL9asWYOKFSsiICAAAwYMAMdx2LBhA7Og6klICLk3+Tg6V1fj2tPDhglu2NBQsq7y7vm8kFOsKy/W+OciIkic8ln/AQHkpvb3JwEpdhGLOXWKjvvoEbmWbWwcJbVHhwyhufv6CuEDAMXBfvQR8P33ZPULCyPr4969FAebnExzvHpVsLz26iUI7jp1SLxrdyHnBaGZmTRjnhemvMB6+pTGWVvT+/L2psfNzUkoVqmStXUoQOtz+jRZDJVKEqd88lOpUiSolUp6vnZtipXlz89XOejWjcbGx9McW7Wic5qY0HMnTgCmpil48KBUnj5zvo2tUkl1Tm/fBtzdyeq5cSOdp127/F3wJCRQbOzmzRQSIL5wql9f/mYIern4GzZsqJc45TgOi8RtHxhGxXjxJSkDH7eRdz3MzCzw5WcL8eVnC2FmZpH7CwoZtj/ko0ePHhg5ciS+/PJL2Nvbo2PHjujcuTOmTp2qaePKyJ7sSuWUKTNJ7qlJ4K2r27ZJ3fN5QVcJKr51qo+P9LlPPiFxExJCz3XrRp2Z7twhV/q//+o+x6lTJBhLl6bM8ZSU0hoRqFCQC3/xYhKnvItdoQD++osy9Hftosx9hQJ484bmsHgxzWPaNLqA4DjKli9dGmjZkoRc1apUFsvFRVqmiY8f1S7npG35463GaWnkpuajaJRKumVXqv3xYxrPhywrFILldcAAwer6v/9RrCzfy0O8JtHRgqBTqShelC8dFRBA621vb5unzzwkhC4onJyomQDvgh8+nJLgmjWjZKv8tit1cSFLeGCgNCwlMJD+jnIrUVXY5KsO6smTJ9G4cWNYWlrC1NRUczMzM8Pvv/9u6DkyDAS7eJBy5gJbDzFsf8hHaGgoTp48ibdv36J37974+eefkZqaigsXLuAgn/nC0Im4g5M4jo7coKZZaowWB3LqpS5+DiDRJ66vCeRcPSAkhMIALC3JIhkWBowc6S0Z8/33VKO0enVBNH7zDYnSlBSq7xodDXzxBT1Xty7VZw0NJVHHW085jkRQSAiwZg0J5yNHyEoorhigCycnErY8FSoIIQ4cR3GhMTHSGFldTQR49uyh5CVt+vUTaqhu3iztVMUfs1w56WsyM8lievgwXYTExpJ45biXuk+eDb6+yNJelm/+UKoUfc59+uT/godvCLFsGcWvbttGP5cty1+ogKHJVxb/0KFD0aJFC4wfPx6Wlpaax9VqNTZv3mywyTEMS3Hus66rzmlufNpZ3vVQq9WIi6d0zzL21WRvdVqc94ex4+rqij59+uCbb76Bj48Ptm3bBltbWygUCnzB/5dn6ETcwYlPDhJaPZrIXiqnsMgu1lX7OW9vsrCKyal6gK8vibikJEqaIjE0GmXLkuWU46hTlbjdaZMmJG5mzAAuXSLXs5WV4CoOCSHB+emngmA0MRESveLjSRTv308F8MXHvnKFRNPRo5QExdd1NTMjQQsAnTuTpRcg0RYVRb/XrQu0bUsWzYUL6bEyZei+uAEBD79mYgHK//nxX88qFVlQmzUjAZ+RQeLYxobmcPUqjT14kCzWsbEU9sBxwIYNVXR/YNnAN3+4fl0a0gHQz/j4gonInCpP5DU2ujDIl0A1MTHBpk2bdAbvN2vWrKBzYhQSHh4eTISIOHHGQ1aRqsxMhceSmgCAebMSYWkhb6F+tj/k45NPPkFMTAzM3/kOly1bht69eyM9PR2fffaZzLMzbnLq4FSmTChCQ13kmJZRkFO8anYWstBQylT/7jtBuKSnJyE9nVLU69UjofjyJYnPtDT6yb9W/FnwCV3795PQs7OjxJ7vvycLZ/XqwMyZFBowcya5rflmATyrVtHjVasK4hSgxCSViso/VaokxB3XqaN7LRISSDi3aUPluc6fp1t21KtHlmcHB2DdOrIK169P8alKJVkw+bjanTupMsHgwUDjxhROsWwZnY8sp7TWly55oFs3/b9j+fVbvZriTsUi8u1bCiEoqIg0VGx0YZAvk83s2bNxPptPNkVceZdhVIwYMULuKRgVbVqy9RDD9oe8WFlZSaqkfPLJJ/j8889hpk8T8xKMiwu5hLXbXaamAm/fVpM9jk5OcopXzc5Cxq/nN98IoQKVK1vCzIwEZt++ZCUNC6NwirAwIVZR+7PgXcgzZpDldMwYqhCwbBll2G/ZItRMffCA4ikdHKhL1vz5ZIncsIHCGMTSwsmJstsVCkrGev2aQgTq1SOLqa5+8lOnColOLi70HkQOYAB0PoWCzt23LwnQ+HgKIalTh0pj8SEKFy+SSF66VOoSX7GC1qlyZXpvbdpQrC9ZKvP2Hcuv37VrQpxo+fLU1MDEhM5rCAwRG10Y5EugDh48GDt37sTs2bMltz/++AMTJ0409BwZBoLFskm5+5Cthxi2PxjvI/w/cUPUGC2O5BSvqgtd62lh8QppaSQqhwyhx3StsfZr69Qh619wMAm7c+ekArlRIyEWtnZtiqfMzCSX/k8/kQVz9Ggh2cnEhARfSgrw339kheXrdiYlUcLWlStUTkq7n7xYrI8ZQ2WbbGzomD16ADVr0hxPnKBzBwdTbGmPHhQqUKsWzaVzZ2nlgKlTKSxi/Xp6b/x7/+8/Eu+XLgmVEvL6HSuec6dO9N7+/ZdCG3x8jEdIFhb5ujT/6quvcOTIETg6OsJaVIhNrVbj5cu8BQEzig4WfiHF2amZ3FMwKtj+YLyP5BRHN2tWKGrXrin3FGUnp3hVbfj1dHWln9R6VIidbNuWCvnrilXM7rNQKMh1X7UqdVDiXcjasbDaIQm1a5M11dubjnH7NonaH38kS+W5c8CFC0KS3Pz59BpeKI8YQe5rfn45deJKTSWB+e+/VNuU7yZVowaV24qPp/e2ZAlZcBs0oFCEa9fIKrtpEzBlSs7xm/n5jjVmF3xhky8L6rlz53D48GFERkbi2bNnmltYWBiWLl1q4CkyDMWbN2/knoJRkZzC1kMM2x+M95XsrITt2j2Se2rvJe3bk2WxaVMqrdS/fyiCgykOMyWFLI/ZWWJ1fRYBAWRxLFOGrKMcR+WmGjUi9z5vYdQVktC6NY338qLxAFlN27YlYfjrr0KSnIMDWWRfvKD7pUuTsBOTUyeuZs3IcjpyJJWXUihoTiEhVBVixAiKn01Kooz+K1dIvI4Zo591Or/fscbqgi9s8mVB7d27NxrxO0WLQYMGFWhCjMIjVTtIq4SjVLL1EMP2B+N9RpeVMDiY7en8wFdGuHyZEp78/W+jUaOa2LCBXOCNG+dskdX1WfCW1W3bKLHo/+3dd1gU1/c/8Dcg2KNRwaCoaDSxxICixsSGPRpNMYktGntiiLF+1RhLjOKHICIooAIKWGkiBgGNCCKiUgJSFNGNioB06X1Z7u+P/bFhKMLCyiy75/U8PLozd2bOHs8u1yn3Vj3N36GD+DL6yZP/DZNV/Yxh//7ijmbVbFjAfw8PDR/OfTCr+hnZ+obSet1MXFFR4vtYu3QRn2WdNeu/s8EffCA+Y3rxojg/VZ1Eac5O03esdJp0BtXa2hre3t61ljPGYGtr2+ygyJsxqL7HG5WUZnfKR3VUH/zx9fWFr68vYmJiAIhnltLX18f8+fORUTVmDpEa1XTT1HwavyqPrxs/tSHLl4vnky8uFl9a37JFfPYxM/O/s5NVY9ZWP2P4xRfiM5jV+3ZVl/BDQsRP8EdHi4dzqn5PbGys+P7P6GjuQ1MN3bPcvft/77362eBevcS3KMyeLd1g+NVRPUqnSR3UwYMHY926dZxB+qsG6qdhauTXzZs3+Q5Brvz7nN98qKm2wbgxP2HcmJ+gpsr/k9pUH/yZN28enj59Cl1dXdy6dQurV6+GpqYmxo0bR1OdNgPVdNPUfBq/Ko9VZxmbOjKCv794iKoHD8T3mg4c+N+YtXVdjgfq7lDq6IhvQygvF895n5Mjvi+06mElf39xJ7O0VHw2tGpmMSenhkc2GD6c+96rOssODuKHxIYPb9p7B6gepdWk34qrVq1CXl4eRowYwRkCpaKiAhcuXJBZcES2vv/+e75DkCuj9PnNR5s2bfH1HBteY6iO6oM/33//vWSq2R07dqB///64cuUK2rVrh927d8vsONnZ2Rg8eDDc3NxgaGgoWb5p0ybO8wPOzs5YuHAhAPGVsV27diEjIwPFxcVYuHAh5s6dK7OY3iSq6aap+bDS999/L5OREV43Zm19Z2Zf9xDcn3+K72ENCPjvYaUTJ8T3hqqoiO9b/eGH/86QVj00Vd+DR4yJz7rm5IjvUz17VtwhldWoEFSP0mlSB9XIyAgA0LvG9BTFxcUYM2ZM86Mib4SVlRWd4a4mOMSK99mk5AnVB3+qJj1xcXFBSEgIXFxc0O7//xYPDQ2V2XG2bduGzMxMzrKcnBw8ffoUFhYWAMQTsXzzzTeS9Tt37kRCQgIuXLiA4uJiDB48GNra2hg1apTM4npTqKabpmansEuXHOTmdmn2DEMN3f9Z18xWwH8dSjMz8ZP777wjfmBr3rz/Bub/919xh/Ovv8Qd4H/+AYYNE6/7b2YxSGYWq3nvqKOj+D7XLl3E96FGR4tnyBo8WDzOqixmV6J6lE6TLvH37t27VucUAMLCwhAdHd3soMibQR8MLr47p4wxFBZlorAoE6z63Ho8ofrgz4ABAzBmzBh8//33mDdvHubPnw+BQIA1a9bA399fJse4ffs2KqtP0fP/HTt2DMbGxti4cSM2btyI9evXS66MvXz5Eubm5li5ciUAoEOHDpg9eza2b98uk5jeNKrpphs3TtxB7dkTaNdOF99++/on1BujOWPW3r4t7lymp4s7qO7u3LFOqzqcenris59VndMqrztLKxD8N1RVcrL4toHYWPG+Hj8Wd4ab+94BqkdpNamDqqqqWuv+UzU1NUydOhXW1tayjpHIiLGxMd8hyBW/QH7zUS4sxh7Tnthj2hPlQv5nYKP64M8PP/wAT09PhIaG4uLFiwAAoVCI1atX4+7du83ef3l5OQ4fPlyrY1laWoqjR49i0aJF2Lt3L/Lz8znrvby8UF5ejpEjR0qWGRgY4ObNm63i4S2q6aZxdBR3/tzdxZ3BhIRinDr1+qlBG6MpM1sBtTuQAQHiP2s+XAW8fmax+u6frRq1oPpc9x98IL7c37Wr+L5ZWQztRPUonSZd4p82bRoWLVoEVdX/+rcikQiXL1/mXBoi8mXdunV8hyBXxn9E+aiO6oNfNa9MDR06FID4EnxzmZqaYuPGjWhbY27HuLg4GBoa4v79+/jjjz/g5OQEPz8/ydPGYWFhUFVVxdtvvy3ZRktLC4wxREdHY/r06fUeUygUIjIyssHYtLW1oa2t3cR39npU09Kr3hk8ckTcYUtNLceePR1qDXzfFE0ZeL56B7Lq/tW6LtsDte+fbd++4bO0Tbk3tikUvR5TU1ORmpraYDuhUNio/TXpDKq5uTlWrFiBZcuWSX5WrlyJlStX0mDfcuzcuXN8hyBX/omhfFRH9dFyUlJSUFxtcvHExMQ6f54/f459+/Y161gCgQBpaWmYNGlSrXUjR46Eq6srnjx5Ak9PT+Tm5uLbb7+V3HKSkZGBrl27QqVq0EoAnTt3BgBkZWW99rgZGRkwMDBo8Gfjxo2Ii4vD0aNHkZ+fLznLZGxsjOzsbNjY2CAmJgZeXl7w8fFBZGQkbG1tkZmZyWlbXFwMc3NzPH78GG5ubvD398e+ffvg5OSEpKQkTluRSAQTExO8ePECZ8+eRXBwMAIDA+Hi4gKBQAAzMzOUlpZytklLS4O9vT3Cw8Nx7do1eHp64sGDB7CyskJeXh6nbW5uLqytrREbG4vLly/D19cXERERsLOzQ3p6OqdtSUkJzM3NIRAI4OrqioCAANy5cwdnzpxBYmIiDhw4gMrKShgbG6OyshIHDhxAYmIizpw5gzt37iAgIACurq4QCAQwNzdHSUkJZ//p6emws7NDREQEfH19cfnyZcTGxsLa2hq5ubmctnl5eTAy+gedOlVg6tS/cOvWNYSHh2Pz5p/w229p0NAowalT4ralpaUwMzODQCCAi4sLAgMDERwcjLNnz+LFixcwMTGBSCTi7D8pKQlOTk7IyLiLadP88dVXbli+/DH++sscxcXFnLaZmZmwtbVFZGQk7t59id69M/HkSQxsbGyQnZ0NY2NjtG8PdO2aAIFAiKNHjyIuLg6xsZewYUMsHB0ZNDVLMW5cGbp3L4GjI/D5517o06cMBw8exNOnT+Hs7IzAwECoqSUhPLwM8fEv8Oeff6KiouL//9sAISEl6N49H46OjggJCYGfnx/c3d0RHx8PCwsLFBYWcuLOysrCiRMnEBUVBW9vb1y5cgVRUVE4fvw4bG1tOW0LCgpgaWmJuLg4eHh44Pr16wgNDYWDgwNSUlI4bYVCIUxNTfHs2TOcP38eQUFBCAoKwvnz5/Hs2TOYmppCKBRytklJSYGDgwNCQ0Nx/fp1eHh4IC4uDpaWligoKOC0ffXqFY4fP46oqChcuXIF3t7eiIqKwokTJ5CVlcVpW1hYCAsLC8THx8Pd3R1+fn4ICQnB2rVrG/WZb+zVFxUmw5vfIiMjMX36dLnupOro6ODly5fo3bs3kpOT+Q6nRcXGxmJ4c8bIkGMW+6Uv45T0WPTqyV8+ysqLsMNY/MveZFcB2mp0rLftpt0q9a6TFUWuD2m0xHdE9+7dMWvWLMl/CgYMGIAXL17UascYg4qKCkQiUZOPtWjRItjY2KBbt25ISEhA//79cfPmTc5T/FWuX7+OmTNn4s6dO/jkk08wZ84cREVFcfLg5+eHGTNmwN3dvc4rZlX509LSwtWrVxuM702eQaWalt6iReL7PAMC/ltWlccpU8T3pDo7t2xMO3aIh4pKTq79cFXv3uKzsDUHy696aCohQXxZ/3VnaQUC8S0NK1bUPuvq6Ci+/1QWl/gVvR4bewZ11qxZyMjIaPA7tkmX+KtumK+upKQEQUFB6NWrV1N2SVrA06dPFfrDIa1X2U957aDKG6qPlnPt2jVOp8zIyAgikQijR4+GmpqaZHlFRQVOnjzZ5OOcPn0an332mWSUgIbMmDEDBgYGSEhIwCeffAJtbW3cunWL06awsBAAoKmp+dp9qaurc+5d5QPVtPTqetL+6dOnGDhw+GuftH+TmnLZXpoZnl43lFVzn9yvTtHrsbH/2VRXV2/U/prUQXV3d8fIkSM596BqaGjgiy++wLZt25qyS9ICNDQ0+A5BrqipUT6qo/poOaNHj+a8Xr16NSoqKtCjR49abd9///0mH8fJyQmBgYFYunQpZ/nkyZMxadIkBAYG1tpmwIAB0NHRAQDo6enh5MmTKC4uRocOHQAAaWlpaNOmDe+dz8agmpZeXZ1BxtrJZBzQpmqJDmRT7o2VFtWjdBrVQfX398fUqVMlry0tLbGKjyolzdKzZ0++Q5ArnTtRPqqj+uBP1ZP6Ojo6+PDDD+Hg4ICjR4/ivffea9bIKPb29pIznoD43tfPPvsM9vb2dV7iF4lEKCkpwSeffAIAWLBgATZv3ozQ0FBMnjwZABATE4MZM2ZI7kWVZ1TT0qurMxgRMQ1FRbI9myitluhASnPWtSmoHqXTqA7qoUOHIBKJJANHDxw4EEFBQfW2nzhxomyiIzIVEREBAwMDvsOQG8kpEejTi798qKm2wWj9ZZK/843qgz/z5s2DmZkZxo8fL5nqdOrUqZKpTk/VNQdkIwys8du7a9eukuUDBw7EH3/8AVVVVWzduhWqqqrYs2cPduzYIRkHVVNTE0ZGRvD09MTkyZNRUFCAq1ev4tKlS816vy2FarppanYGP/kkFlZWI3jrnFZ50x3IN43qUTqN+q0oEAhw8+ZNSQe1pvj4eLi5uUFdXR2mpqbUQZVTX3zxBd8hyJUPBvObjzZt2mLRPEdeY6iO6oM/LTXVaU1vv/02fv/9dxw/fhwTJkzA3r17MWTIEE4bMzMzbN68GevXr0dOTg5OnTrVKi7vA1TTzVG9M5ie3gt08q/5qB6l06gO6v79+7Fo0aI61zk5OcHMzAw6OjpwdXXF2LFjZRogkR17e3uayaKakH/seZ9NSp5QffCnpaY61dXV5cxatn79eqxfv/6126irq8PKykpmMbQkqmnZoDzKBuVROo0aZqpqqJPqioqK8NNPP+H8+fP49NNPcfbs2UY/KconZR5mSpE1ZZgpvjHGJDNIaah3qPUZq64lhpkiYnx8R9jZ2eHkyZOIiorC3Llz4eHhAYFAgIMHD8LBwaFZw0y1NPqOJYS8TmO/Ixo1UH/NX5xRUVEYOXIknJ2dYWxsDB8fn1bROVV2NM0alzxMdbrDuDN2GHemqU6VXPWpTj08PADIdqpTZUU1LRuUR9mgPEpH6iczrKyssG3bNnTr1g3+/v50v2krsmXLFr5DkCuTxlE+qqP64FdOTg5Onz6NPXv2oG3bthg3bhxWrVqFt956i+/QWi2qadmgPMoG5VE6jZ7qNCcnB19++SU2bNiAcePG4f79+3V2TjMzM2UaIJGdY8eO8R2CXLkbRvmojuqDP6dPn8aIESMk02MmJibCwsICQ4cORXx8PN/htVpU07JBeZQNyqN0GtVBvXPnDvT19eHj44M9e/bgxo0b0NLSqrNt1eUpaZWWluLIkSN1PmT14sULLFiwAJs2bcKSJUuQlpbGWc8Yw86dO7FmzRp89913uHLlSpNiUHSff/453yHIlWGDKR/VUX3wZ/fu3Rg/fjwePXqEhIQEhIWFITExEc7Ozti5cyff4bVaVNOyQXmUDcqjdBp1id/Q0BAikQg9evTArVu3MGXKlDrbFRcXIzo6GmvXrpUqiIqKCjg7O8POzg5FRUW19jl16lQcO3YMM2bMwKVLlzB37lyEhIRIpgTcuXMnEhIScOHCBRQXF2Pw4MHQ1tbGqFGjpIpD0UVGRmLQoEF8hyE3klMiodmd8lGF6oM/lZWVsLCwqJX/CRMmNGo+e1I3qmnZoDzKBuVROo3qoPbq1Qu3bt2Crq7ua9uVlJRgx44d0gfRpg1WrFiBx48fw8XFhbPOxsYGpaWlmDFjBgDxOGLff/89Lly4gKVLl+Lly5cwNzeHj48PAKBDhw6YPXs2tm/fDn9/f6ljUWQNzZ2tbDp1bD35aGiUAlk85U/1wR9LS0sEBwdDX1+/1rqSkhLOa29vb8yZM6eFImvdqKZlg/IoG5RH6TSqg7pjx44GO6cA0L59e6xevbrJwdQ1EcDFixc5g0KrqalBT08Prq6uWLp0Kby8vFBeXs5pY2BgADs7O2RkZNR7K4Iyatu2Ld8hyJU2apSP6qg++OPn54eoqCjcuXMH7du3ByCedvThw4cAgJUrVwIQP9kfEBCAly9f8hZra0I1LRuUR9mgPEqnUR3U7777rtE7/OCDD5ocTE0ikQgRERFYunQpZ7mWlhbCwsIAAGFhYVBVVcXbb7/NWc8YQ3R0NKZPn17nvoVCISIjIxuMQVtbG9ra2s14F/Lj6dOnGDduHN9hyI2snKfo34+/fKiqqEFv2DeSv/NN0esjNTUVqampDbYTCoUtEA1Xfn4+MjIy0L59e86wflXz3T9//hyA+HaowsLCFo+vtVL0mm4plEfZoDxKp1EPSVV9Sba07OxsiESiWmOsdu7cGVlZWQCAjIwMdO3atc4v9ao2dcnIyICBgUGDPxs3bkRcXByOHj2K/Px8yThmxsbGyM7Oho2NDWJiYuDl5QUfHx9ERkbC1tYWmZmZnLbFxcUwNzfH48eP4ebmBn9/f9y9exdOTk5ISkritBWJRDAxMcGLFy9w9uxZBAcHIzAwEC4uLhAIBDAzM0NpaSlnm7S0NNjb2yM8PBzXrl2Dp6cnHjx4ACsrK+Tl5cHY2BiGhoYwNjZGbm6u5Gnhy5cvw9fXFxEREbCzs0N6ejpnvyUlJTA3N4dAIICrqysCAgJw584dnDlzBomJiThw4AAqKythbGyMyspKHDhwAImJiThz5gzu3LmDgIAAuLq6QiAQwNzcHCUlJZz9p6enw87ODhEREfD19cXly5cRGxsLa2tr5Obmctrm5eXBysoKDx48gKenJ65du4bw8HDY29sjvyBNMq6pX6AxhMJSBASbIfOVAPdjXfDv80A8exGMf6LOIjv3BW4EmWBA3wmcbXLykhB23wnPE+/iyVN/RD1wQ0bWYwTeMUd5eTGnbWFRJu6G2yI5JRJxj33wIN4LKWkxCA61QVFxNqdtaWk+gkKOIi0jDjFxlxAv+BuJL8MREXMeX86yRK+eH0JdvR38Ao1RUVGGgNsHkZX9FJExzuK4E27jn+hzyM5JgH/QnxCJKjj7z81LhqOjI0JCQuDn5wd3d3fEx8fDwsIChYWFnBxmZWXhxIkTiIqKgre3N65cuYKoqCgcP34cenp6nLYFBQWwtLREXFwcPDw8cP36dYSGhsLBwQEpKSmctkKhEKampnj27BnOnz+PoKAgBAUF4fz583j27BlMTU0hFAo526SkpMDBwQGhoaG4fv06PDw8EBcXB0tLSxQUFHDavnr1CsePH0dUVBSuXLkCb29vREVF4cSJE8jKyuK0LSwshIWFBeLj4+Hu7g4/Pz+EhIRg7dq1jfrMZ2RkvPZ76U34+eef4e3tjcDAQNy8ebPen9u3b8PMzKzF42utDA0N+Q5BIVAeZYPyKJ1GzSTVUvbu3QsnJyckJCQAEHcwNTU1sXPnTs4At9999x3++usvFBYWYs6cOYiKiuLMRuDn54cZM2bA3d0d33zzDecYVTMYaGlpNerhA0U6g3rgwAGFfSK4KTNJ+d06gOmTFCMfsrgHVZHrA2j8GdRZs2YhIyNDLmZCio2NxbBhw6Cq+t+5hMrKSs5reSNPM0kpek23FMqjbFAexRr7HSH1QP0tqXv37tDQ0EBeXh5neWFhoeRmY21tbdy6davWeuD1NySrq6tz7ltVBk15gE2RTZ1A+ahO0eujsf/ZVFdXb4FoaisqKkJOTg4qKyslyxITE3Ho0CGcPn1askyeO6fyRtFruqVQHmWD8igduf6mU1FRwfDhw2tdcktLS8OYMWMAAHp6eigsLERxcTFnfZs2bZSuA9qQ//3vf3yHIFf8g/jNR1l5ETbvUcXmPaooKy9qeIM3jOqDP9bW1ujSpQv69euH/v37S34+//xz+Pr68h1eq0U1LRuUR9mgPEpHrjuoALBkyRKEhIRIXldUVODRo0eSS/cLFiyAuro6QkNDJW1iYmIwY8YM3u6dlVe//fYb3yHIlakTKR/VUX3wx8HBAcePH4enpyd++uknBAQEwN/fH0uXLkVwcDDf4bVaVNOyQXmUDcqjdOSqgyoUClFRUcFZtmrVKjDGJE/cX7p0CUOHDsXXX38NQHwZ38jICJ6engCAgoICXL16Ffv372/Z4FsBExMTvkOQK/63KR/VUX3w59NPP8WaNWvw+eefo0uXLpg4cSIMDQ2xZcsWzv33RDpU07JBeZQNyqN05KaD6uHhAS8vL6SmpsLS0lJyWb9z5874+++/YWJigq1bt+LatWvw8fHh3IdlZmYGxhjWr18PIyMjnDp1ii7v16HmcF3KbpQe5aM6qg/+JCQkwN/fHzk5OZg7dy5+/fVXlJSU4M6dOzR1czNQTcsG5VE2KI/SkZuHpL7++mvJWdGahgwZAnd393q3VVdXh5WV1ZsKTWEEBgbi+++/5zsMufFvQiBG61M+qlB98GflypX44osvsGDBApw6dQrOzs7o2LEjVFRUaNaoZqCalg3Ko2xQHqUjNx1U8ua9++67fIcgV3q8TfmojuqDP9OmTUNWVpZkBIEjR47g888/R2lpKWbOnMlzdK0X1bRsUB5lg/IoHeqgKpGysjK+Q5ArFSLKR3VUH/zS0NDA+fPnER4eDnV1dUydOhWfffYZ32G1alTTskF5lA3Ko3Sog6pEMjMz+Q5BrhQW8ZsPVRU1DBk0W/J3vlF98Cc1NRUzZszAw4cP0aZNG2hqauLYsWMYOXIkfH190aVLF75DbJWopmWD8igblEfpyM1DUuTNowfHuHR68ZsPdfV2WLPUG2uWekNdvR2vsQBUH3xav349Bg8ejMjISJSVleHly5coKSnB9u3baeaZZqCalg3Ko2xQHqVDHVQl4uXlxXcIcuVhPOWjOqoP/pSWlsLd3R36+vpQUflv2trPP/+c85pIh2paNiiPskF5lA5d4lciRkZGfIcgVz4ZQ/mojuqDP0OGDKlzeVlZmWQMaCI9RalpgQBwcAASEgBdXWDlSmDQoJY7vqLkkW+UR+nQGVQlYm5uzncIcuXWHX7zUVZehF/3d8Kv+zvJxVSnVB/8adOmDY4fP4709HSUlpbixYsXOH36ND7++GMMasmeiIJRhJp2dASGDAHs7ID0dPGfQ4YATk4tF4Mi5FEeUB6lo8IYY3wH0ZJ0dHTw8uVL9O7dG8nJyXyHQ2TEYn/rK+Oy8iLsMBZPx2uyqwBtNTo2eV+bdtNlYFnh4zuivLwcy5Ytg6urq+SSPmMM06dPh5ubm8weksrOzsbgwYPh5uYGQ0NDAEBOTg5++eUX9OjRA2lpadi3bx/ee+89znZWVlYIDw+Hqqoqxo8fj9WrV9d7DPqOlR2BQNwZXbkSOHIEaN8eKCkB1q8Xd1zj44GBA/mOkhDpNPY7gs6gKhGaMpHLL5DyUR3VB380NDTg7OyMmJgYWFpawsLCAnfv3sXff/8t0yf4t23bxnmSmDGGuXPnYuLEibC0tMS2bdswffp0FBQUSNrY2dnBxcUFZ86cgYODA44dO4a//vpLZjG9Sa29ph0cgC5dgKNHxZ1TQPzn0aPAW28Bp061TBytPY/ygvIoHeqgKpE1a9bwHYJcGTuK8lEd1Qe/Hjx4gJMnT+L69esICgpCSEgIp6PYXLdv30ZlZSVn2cWLFxEWFiaZgnHkyJFo3749LC0tAQAlJSXYuXMnVqxYAQBQVVXF/PnzsWXLFrSGi2+tvaYTEgA9PaBdjUE+2rcH9PXF61tCa8+jvKA8Soc6qEqktZz1aCkP4ikf1VF98Of06dMYMWIErK2tERsbi8TERBw+fBhDhgzBo0ePmr3/8vJyHD58GNu3b+csv3jxIgYPHoz2VafnABgYGMDV1RWAeGrGrKwszvA4BgYGePr0KSIiIpod15vW2mtaVxeIjhZf1q+upASIihKvbwmtPY/ygvIoHeqgKhEDAwO+Q5ArOr0oH9VRffBn9+7dGD9+PB49eoSEhASEhYUhMTERzs7O2LVrV7P3b2pqio0bN6Jt27ac5WFhYejevTtnmZaWFh49eoSysjKEhYUBAKeNlpYWAOD+/fvNjutNa+01vXIlkJcnvue0qpNadQ9qfj6walXLxNHa8ygvKI/SoWGmlEh6ejrfIciVgkLKR3VUH/yprKyEhYVFrSf2J0yYgKtXrzZr3wKBAGlpaZg0aRISalwTzsjIqDV4eOfOnVFZWYns7GxkZGQAALp168ZZDwBZWVmvPa5QKGzUEFna2trQ1tZuzFuRWmuv6UGDgJMngdWrgUuXxJf7o6LEndOTJ1vuAanWnkd5oeh5TE1NRWpqaoPthEJho/ZHZ1CVSHl5Od8hyBWRiN98qKio4l3dSXhXdxJUVPj/KFJ98MfS0hLBwcF1riupcX3X29tbqn3v2bMH+/fvr3OdiooK5/I+AIhEIgCAurq6ZESB6m2qr3+djIwMGBgYNPizceNGxMXF4ejRo8jPz5c8SGJsbIzs7GzY2NggJiYGXl5e8PHxQWRkJGxtbZGZmclpW1xcDHNzczx+/Bhubm7w9/dHTEwMnJyckJSUxGkrEolgYmKCFy9e4OzZswgODkZgYCBcXFwgEAhgZmaG0tJSzjZpaWmwt7dHeHg4rl27Bk9PTzx48ABWVlbIy8vjtM3NzZXcrnH58mX4+voiIiICdnZ2SE9P57QtKSmBubk5BAIBXF1dERAQgDt37uDMmTNITEzEy5cHEBdXiWHD7kBLi2H48DsICEiBquoZ3LlzBwEBAXB1dYVAIIC5uTlKSko4+09PT4ednR0iIiLg6+uLy5cvIzY2FtbW1sjNzeW0zcvLg5WVFR48eABPT09cu3YN4eHh8Pb2RlpaGqdtaWkpzMzMIBAI4OLigsDAQAQHB+Ps2bN48eIFTExMIBKJONskJSXByckJd+/ehb+/P9zc3PD48WOYm5ujuLiY0zYzMxO2traIjIyEj48PvLy8EBMTAxsbG2RnZ3Pa5ufn4+jRo4iLi8OlS5fw999/Izw8HKdOnUJKSgqnbVlZGQ4ePIinT5/C2dkZgYGBuH37Ns6dO4eEhAT8+eefqKio4GyTnJwMR0dHhISEwM/PD+7u7oiPj4eFhQUKCws5bbOysnDixAlERUXB29sbV65cQVRUFI4fP46srCxO24KCAlhaWiIuLg4eHh64fv06QkND4eDgUCtuoVAIU1NTPHv2DOfPn0dQUBCCgoJw/vx5PHv2DKamphAKhZxtUlJS4ODggNDQUFy/fh0eHh6Ii4uDpaUlCgoKOG1fvXqF48ePIyoqCleuXIG3tzeioqJw4sSJWnEXFhbCwsIC8fHxcHd3h5+fH0JCQrB27dpGfear/uPbEBpmSonExsZi+PDhfIfxRjRlmKmU9Fj06qkY+ZDFMFOKXB/S4OM74scff0RUVBQGDBgg6QyKRCI8fPgQAPDhhx8CEJ95CAgIwMuXLxu139OnT0NNTQ1LliwBACQkJKB///64efMmDA0NMWjQIAwePBhXrlyRbLNhwwbY2NigvLwcJiYm2LVrF7KysiSX+e/fv4+RI0fCyckJy5Ytq3XMqvxpaWk16uzvmzyDSjUtG5RH2VD0PDb2DOqsWbOQkZHR4HcsXeJXIrdu3VLoD4e0nibcUpgOqixQffAnPz8fGRkZaN++PWdq06rL6c+fPwcAVFRUoLCwsNH7dXJyQmBgoOQp/SqTJ0/GpEmToKenh6SkJM66tLQ0GBgYQFVVFXp6egDEZ0OrOqhpaWkAgDFjxrz22Orq6rzPPU41LRuUR9lQ9Dw29j+bDV19qUIdVCVSdRaFiI36kPJRHdUHf37++Wfs2rULw4YNa7CtnZ1do/drb2/P6dCmpKTgs88+g729PQwNDfHgwQMsXLgQZWVlkgeoYmJisHLlSgDAzJkzoampiZCQEMl0rDExMRg6dGi907PKE6pp2aA8ygblUTr83/hGWoy1tTXfIciV4FB+81FWXoTdf2ph959acjHVKdUHf8aPH19v59Td3Z3z+nWzONU0cOBA6OvrS36GDh0qWT5w4EDMnTsXH3zwAXx8fACIn+ovKyuTzBmurq6O3377DZ6engDEZ3BdXFxgamoq9XvkA9W0bFAeZYPyKB06g6pEZDFcDV/exFSm0w35z0dR8eufhG5Jrbk+FNXVq1exdetWfPvtt5JlqqqyO6+gpqYGLy8vbN68GSEhIUhNTYW/vz86dvxv2t2NGzciLy8PP/74I8rKyrB9+3bMmTNHZjG8SVTTskF5lA3Ko3ToDKoSoWnWuGiqUy6qD/mQmZkJMzMzDB48GJ999lmte0SbQ1dXF4wxGBoaSpb16tULLi4uOHjwIM6ePYv+/fvX2u7333+Hra0tnJycsHDhQpnF86ZRTcsG5VE2KI/SoTOoSuSXX37hOwS5Mn4s5aM6qg9+Xbt2Dfb29vD29kZFRQUmTpyINWvWNHscVGVGNS0blEfZoDxKhzqoSuTMmTP0Aanmn6gzmKAgndSGboFozDBUVB8tLykpCadOnYKjoyOSk5Ohq6uL4cOHw9PTE3369AEgHpKFNA3VtGxQHmWD8igdusSvRCZPnsx3CHJlYH/KR3VUHy3H3d0dn376KQYMGIADBw5g5MiR8PX1xdOnTzF8+HBJ5xSA5MEmIj2qadmgPMoG5VE61EFVIgKBgO8Q5ErmK8pHdVQfLYcxBqFQiM6dO8PHxweenp6YOXMmAHDGQSXNQzUtG5RH2aA8Soc6qEqk5pSGyk5dnd98qKiook+vUejTa5RcTHVK9dFy5s+fD39/f4SGhuLGjRv49ttv4e7uLplGlMgG1bRsUB5lg/IoHboHVYlUzQRDxDp24DcfGurtsWltGK8xVEf10fIGDRqEgwcPQigUwsPDA0uXLkV8fDyeP38ueZr+3r17+Pjjj3mOtHWimpYNyqNsUB6lw/9pG9JioqKi+A5BrrxMjeI7BLlC9cEfdXV1LFy4EBcuXICLiwuOHTuGefPm4fDhw9i+fTvf4bVaVNOyQXmUDcqjdKiDqkTmzp3LdwhyZdj7lI/qqD7kw3vvvQczMzM4OzujY8eOePToEd8htVpU07JBeZQNyqN0qIOqRE6ePMl3CHIlNILffJSXF2P/4f7Yf7g/ysuLeY0FoPqQN23btsWPP/5I0yM2A9W0bFAeZYPyKB0Vxpjs55CUYzo6Onj58iV69+6N5ORkvsMhjfQmpjrlW1l5EXYYdwYAmOwqQFuNjg1s0XSNGQeViNF3RPNQ/gghr9PY7wg6g6pEaJo1LprqlIvqgygaqmnZoDzKBuVROq3qKf6ysjLo6uoiLS0NANCtWzckJSWhQ4cOePHiBbZt24ZevXohMzMThw4dwjvvvMNzxPLl//7v//gOQa4YjqN8VEf1QRRNa6hpgQBwcAASEgBdXWDlSmDQIL6j4moNeWwNKI/SaVVnUE+fPo3ly5fDwsICFhYWOHfuHDp06IDi4mJMnToVq1atgoWFBebNm4e5c+fSmII1WFlZ8R2CXLkdSvmojuqDKBp5r2lHR2DIEMDODkhPF/85ZAjg5MR3ZFzynsfWgvIonVZzBrWyshI3b96Es7NzrXU2NjYoLS3FjBkzAABffPEFvv/+e1y4cAFLly5t6VDl1pdffsl3CHJl+JAv+Q5BrlB9EEUjzzUtEABr1ojPmB45ArRvD5SUAOvXA6tXA+PHAwMH8h2lmDznsTWhPEqn1ZxB9fT0xF9//YXp06fj0qVLnHUXL17EyJEjJa/V1NSgp6cHV1fXlg5TrkVERPAdglxJTqF8VEf1QRSNPNe0gwPQpQtw9Ki4cwqI/zx6FHjrLeDUKX7jq06e89iaUB6l02rOoCYnJ8PQ0BB37tzBjRs3sGTJEpw+fRqMMURERNQ6U6qlpYWwsPpn6REKhYiMjGzwuNra2tDW1m52/PKA7snl6tyJ33yoQAU9NYdK/s43Ra+P1NRUpKamNthOKBS2QDSkJchzTSckAHp6QLt23OXt2wP6+uL18kKe89iaUB6l02rOoG7YsAG+vr5ISUmBkZERzp07B0tLS2RnZ0MkEqFbt26c9p07d0ZWVla9+8vIyICBgUGDPxs3bkRcXByOHj2K/Px8yVN4xsbGyM7Oho2NDWJiYuDl5QUfHx9ERkbC1tYWmZmZnLbFxcUwNzfH48eP4ebmBn9/f9y9exdOTk5ISkritBWJRDAxMcGLFy9w9uxZBAcHIzAwEC4uLhAIBDAzM0NpaSlnm7S0NNjb2yM8PBzXrl2Dp6cnHjx4ACsrK+Tl5cHY2Bht2rSBsbExcnNzYW1tjdjYWFy+fBm+vr6IiIiAnZ0d0tPTOfstKSmBubk5BAIBXF1dERAQgDt37uDMmTNITEzEgQMHUFlZCWNjY1RWVuLAgQNITEzEmTNncOfOHQQEBMDV1RUCgQDm5uYoKSnh7D89PR12dnaIiIiAr68vLl++jNjYWFhbWyM3N1fS1i/QGCWlebgdYoXU9AeIifPEI8E1JL4Mx71/7JFfkCZ5Kt8v0BhCYSkCgs2Q+UqA+7Eu+Pd5IJ69CMY/UWeRnfsCN4JMAKhwtsnJS0LYfSc8T7yLJ0/9EfXADRlZjxF4xxzl5cWctoVFmbgbbovklEjEPfbBg3gvpKTFIDjUBkXF2Zy2paX5CAo5irSMOMTEXUK84G8kvgxHZKwz1i67jpHDF0JDowP8Ao1RUVGGgNsHkZX9FJExzuK4E27jn+hzyM5JgH/QnxCJKjj7z81LRlikIxKSQvD4Xz9EPXBHemY8bt21QFlZoaStsbExsrKycOLECURFRcHb2xtXrlxBVFQUjh8/jqKiIs6/TUFBASwtLREXFwcPDw9cv34doaGhcHBwQEpKCqetUCiEqakpnj17hvPnzyMoKAhBQUE4f/48nj17BlNTUwiFQs42KSkpcHBwQGhoKK5fvw4PDw/ExcXB0tISBQUFnLavXr3C8ePHERUVhStXrsDb2xtRUVE4ceIEsrKyOG0LCwthYWGB+Ph4uLu7w8/PDyEhIVi7dm2jPvMZGRmN/l4i8q1NG/k9B6OrC0RHiy/rV1dSAkRFidfLC3nOY2tCeZROqx0HdfHixfjnn39w9+5daGpqYufOnZwhHL777jv89ddfKCws5GxXNf6WlpYWrl692uBxFOkM6tmzZ1vtPblvYhzUf6LOYpR+68yHtBozDmprro/GaOwZ1FmzZiEjI4PG8WwieRoHVZ5rWiAQPxC1YsV/l/mr7kF1dATi4+XnHlR5zmNrQnkUa+x3RKvtzv/2228YOXIkunfvDg0NDeTl5XHWFxYWQlNTs97t1dXVOfetKoOJEyfyHYJcGaBL+ahO0eujsf/ZVFdXb4FoSEuQ55oeNAg4eVL8QNSlS+LL/VFRQH6+eLm8dE4B+c5ja0J5lE6rucRf04ABA6CjowMVFRUMHz681mW5tLQ0jBkzhqfo5NOFCxf4DkGuRMbwm4/y8mKYWn0AU6sP5GKqU6oPomjkvaaXLxefKf3hB6BnT+DHH8Wvly/nOzIuec9ja0F5lE6rPYP6zz//YOXKlQCAJUuWwMLCQrKuoqICjx49okFxa9i2bRvfIciVKeP5zQcDQ3pmnOTvfKP6IIqmNdT0wIGAiQnfUbxea8hja0B5lE6rOIOam5uLr776Cjdu3AAAPH36FI6OjpJ/7FWrVoExJnkq/9KlSxg6dCi+/vpr3mKWRyby/i3YwvyDKB/VUX0QRUM1LRuUR9mgPEqnVZxBbdeuHYqKijBnzhwMHToUs2fPxokTJ6ChoQFA/MT+33//jT179kBXVxevXr2Cj48PVFVbRf+7xezatYvvEOTKdEPKR3VUH0TRUE3LBuVRNiiP0mkVPbh27drh+vXrKC0tRWRkJIyNjdG2bVtOmyFDhsDd3R1mZmZwcHBA9+7deYpWflUf5YBAMvwSEaP6IIqGalo2KI+yQXmUTqvooBLZWLZsGd8hyJVRIygf1VF9EEVDNS0blEfZoDxKhzqoSsTf35/vEOSK4BnlozqqD8WVl5eHRYsWoUuXLnj33Xdx5syZWm2++uorqKioSH5CQkIk68rKyrB27VqsW7cOCxcu5KyTZ1TTskF5lA3Ko3RaxT2oRDbee+89vkOQK5rd+c2HClTwdtd+kr/zjepDce3duxdLlizBpk2bsH37dqxYsQKjR4/GkCFDAACPHz+Gurq6ZDSUjh07YuzYsZLtV6xYAV1dXfzvf/9Damoq9PX1ER4ejr59+/LyfhqLalo2KI+yQXmUDnVQlUhJzTn1lJxQyG8+NDQ6YPfm57zGUB3Vh2IqKCiAkZERBg0aBABwdHRE//798fDhQ0kH1draGtbW1tDS0qq1fXh4OJydnSEQCACIJzwYMWIE/vjjD5w6darl3kgTUE3LBuVRNiiP0qFL/Erk1atXfIcgV4pLKB/VUX0ops6dO0s6pwDQvXt3vPXWWzA0NAQgngL21KlTmDVrFg4fPoyysjLO9hcvXkTnzp0xsNrURgYGBnB3d0dlZWWLvIemopqWDcqjbFAepUNnUJWInp4e3yHIlV7vUD6qo/pQDhcuXMC5c+fQo0cPAEBsbCxmzZqFsLAwbNmyBWfPnsX169clU0WHhYXVGhVFS0sLBQUFePr0KafzW51QKJSMTf06jZ2CtimopmWD8igbip7H1NRUpKamNthOKBQ2an90BlWJeHt78x2CXIl7zG8+yoUlsDgxBhYnxqCc59sNAKoPRff8+XP83//9H37++We4urqivLwcADBjxgx4eHggMTERdnZ2iIuLw6pVqyTbZWRkoFu3bpx9de7cGQCQlZVV7/EyMjJgYGDQ4M/GjRsRFxeHo0ePIj8/XzIUj7GxMbKzs2FjY4OYmBh4eXnBx8cHkZGRsLW1RWZmJqdtcXExzM3N8fjxY7i5ucHf3x/W1tZwcnJCUlISp61IJIKJiQlevHiBs2fPIjg4GIGBgXBxcYFAIICZmRlKS0s526SlpcHe3h7h4eG4du0aPD098eDBA1hZWSEvL4/TNjc3F9bW1oiNjcXly5fh6+uLiIgI2NnZIT09ndO2pKQE5ubmEAgEcHV1RUBAAO7cuYMzZ84gMTERBw4cQGVlJYyNjVFZWYkDBw4gMTERZ86cwZ07dxAQEABXV1cIBAKYm5ujpKSEs//09HTY2dkhIiICvr6+uHz5MmJjY2FtbY3c3FxO27y8PFhZWeHBgwfw9PTEtWvXEB4ejl27diEtLY3TtrS0FGZmZhAIBHBxcUFgYCCCg4Nx9uxZvHjxAiYmJhCJRJxtkpKS4OTkhLt378Lf3x9ubm54/PgxzM3NUVxczGmbmZkJW1tbREZGwsfHB15eXoiJiYGNjQ2ys7M5bfPz83H06FHExcXh0qVL+PvvvxEeHo5Tp04hJSWF07asrAwHDx7E06dP4ezsjMDAQNy+fRvnzp1DQkIC/vzzT1RUVHC2SU5OhqOjI0JCQuDn5wd3d3fEx8fDwsIChYWFnLZZWVk4ceIEoqKi4O3tjStXriAqKgrHjx+Hq6srp21BQQEsLS0RFxcHDw8PXL9+HaGhoXBwcKgVt1AohKmpKZ49e4bz588jKCgIQUFBOH/+PJ49ewZTU1MIhULONikpKXBwcEBoaCiuX78ODw8PxMXFwdLSEgUFBZy2r169wvHjxxEVFYUrV67A29sbUVFROHHiBLKysjhtCwsLYWFhgfj4eLi7u8PPzw8hISFYu3Ztoz7zNaemr48KY4z/ORZbkI6ODl6+fInevXsjOTmZ73BaVHFxMTp06MB3GE1isV/2ZVpeXgwNDf7yUVZehB3G4l/0JrsK0Faj4xs71qbdDT+E1ZrrQ5YU9TuipKQEcXFxMDExgYeHB3bt2oX9+/fXamdnZ4cff/wRycnJ6N27Nz744AN07doVwcHBkjb29vb44YcfEB4ejlGjRnG2r8qflpYWrl692mBcb/IMKtW0bFAeZUPR89jYM6izZs1CRkZGg9+xdAZViRw+fJjvEOTKrbuUj+qoPhRb+/btYWBggIsXL2L8+PH1njFftWoVtLS08OLFCwDiDmReXh6nTWFhIQBIbgOoi7q6OkaOHNngz5vqnAJU07JCeZQNRc+jtrZ2oz7z6urqjdofdVCVCE2zxkVTnXJRfSiPr7/+WjJVdE1qamro168fdHR0AIjvm6t5SS4tLQ3vvPOO3A8zRTUtG5RH2aA8Soc6qEqEplnjoqlOuag+lEdpaSkmTJhQ57qCggL06dNH0vlcsmQJMjIy8Pz5f0OixcTEYN68eVBR4X/83tehmpYNyqNsUB6lQx1UJfLjjz/yHYJc+Xg05aM6qg/FlJaWBnNzc2RmZgIQ3yfm5eWFHTt2AACMjIxgY2MDkUiEgoICbNu2DaamppLt9fX18cUXX8DT0xMAkJSUhOjoaMn28oxqWjYoj7JBeZQOdVCVyKVLl/gOQa7ExClPPiz2s9f+AFQfiiozMxM2NjYYNGgQ5s2bB1NTU7i5uUmGjurcuTN+/fVXDBo0COvXr8euXbs4Y54CwNmzZxEdHY0tW7Zgx44d8PHxkdwCIM+opmWD8igblEfp0DioSmT06NF8hyBX+vbmPx8dO/TgOwQJqg/FNHz4cDx79qze9aamppwzpnXp3LkzTp8+LevQ3jiqadmgPMoG5VE61EFVIo0Z/kGZ5Bfwm4+2Gh2x/9fGjQfXEqg+iKKhmpYNyqNsUB6lQ5f4lYhIJOI7BLlSySgf1VF9EEVDNS0blEfZoDxKhzqoSkRXV5fvEORKt666fIcgV6g+iKKhmpYNyqNsUB6lQx1UJXL79m2+Q5Arz17wm49yYQlsHCbDxmGyXEx1SvVBFA3VtGxQHmWD8igdugdViSxatIjvEOTKiOH85oOxSjxNuCX5O9+oPoiioZqWDcqjbFAepUNnUJXIsWPH+A5BrtwNo3xUR/VBFI2y1bRAAOzYASxaJP5TIJDNfpUtj28K5VE61EFVIjTNGhdNdcpF9UEUjTLVtKMjMGQIYGcHpKeL/xwyBHByav6+lSmPbxLlUTrUQVUi8jzNWmMGkpc1muqUS57rg5CmUJaaFgiANWuAlSuB5GQgIED854oVwOrVwL//Nm//ypLHN43yKB26B1WJrF+/nu8Q5MqEsZSPKhb7GdRKf6n3PwObdsv3nOuE1EVZvvMcHIAuXYCjR4F27cTL2rcXv/bwAE6dAkxMmr5/Zcnjm0Z5lA6dQVUiTrK41qNAwqKc+A5BrlA+iKJRlu+8hARAT++/zmmV9u0BfX3x+uZQljy+aZRH6VAHVYlMmzaN7xDkynsD+M+HhnoHaKh34DsMAPKRD0JkSVm+83R1gehooKTGaHUlJUBUlHh9cyhLHt80yqN0qIOqJFJTU/HHH3/QVGv/X35BKv6++Qev05221eiIP3cX4s/dhWir0ZG3OAD5yAchsqRM33krVwJ5ecD69f91UktKxK/z84FVq5q+b2XK45tEeZQedVCVRGpqKtzc3OjD8f/lF6Qi+qE7dcj+P8oHUTTK9J03aBBw8qT4SX4dHWDKFKB3b/HrkyeBgQObvm9lyuObRHmUHnVQCSGEkFZu+XIgPh744QegZ0/gxx/Fr5cv5zsyQpqGnuInhCdCYSmcXL4BACxfeBHq6u0a2IIQQuo3cGDzntYnRJ5QB5UQnlQyER4JfCV/l2cNjUVLw1ARQgiRJbrETwghhBBC5IpCnUENCAjAiRMnoKWlBXV1dZiZmaFNG4V6i4QQQgghCk9hem/R0dFYvHgxHjx4gB49emD9+vXYunUrLCws+A6NoOFLxKR1a+6/L90iQAghpDqFucT/22+/Ydq0aejRowcAYPHixbCyskJCc6fQIIQQQgghLUohOqj5+fm4fv06Ro4cKVmmr68PxhguXrzIY2SEEEIIIURaKoyxVn/t9datWzA0NISTkxOWLVsmWf72229j9uzZOH/+vGSZhoYGhEIhVFVVJWdbX0dNTQ3FRa/vx3fq3PTYqxQWvH59c4+RlytEYVEGOnXUgpqausz335CG3l9LE4len4+WwBhDfkEKAOCtzr2gosLfZW6+89Hc+mvM56eyshIiUcOjJWRlZaGyshLq6uooLy9vXmBKqPp3rLa2Nm9xCIVCZGRkSJ5JIE1DeZQNyuN/UlNTG/UdqxD3oGZkZAAAunXrxlneuXNnZGVlcZZV/YKqrKyUbNdcefky2U2LHKOwqO733BLvQR7Vl4+WVtVR5Rtf+XjT9deU/TemM0tqq/4d+/LlS56jgcy+55Ud5VE2KI//aeg7ViE6qFVnntq3b89ZLhKJav1PpV27digtLYWqqmqtDm1d1NTUoKqqEHdCEKLUGnsGNTs7G5WVlWjXjiZOaIqq71g1NTVoaWnxHQ4hRM5kZGRAJBI1+B2rEB3UqstIeXl5nOWFhYXQ1NTkLCsqKmqxuAghRNnQdywhRBYU4tTgkCFDoK6uzjl1XlxcjPz8fIwZM4bHyAghhBBCiLQUooParVs3zJ49GyEhIZJlsbGx0NDQwNy5c3mMjBBCCCGESEshnuIHgH/++Qdffvklnjx5gg4dOsDIyAidOnXCwYMH+Q6NEEIIIYRIQWE6qABw+fJluLq6okePHujSpQv27dunVA84ZWdnY/DgwXBzc4OhoSEAICcnB7/88gt69OiBtLQ07Nu3D++99x5nOysrK4SHh0NVVRXjx4/H6tWreYhedsrKyqCrq4u0tDQA4jPsSUlJ6NChA168eIFt27ahV69eyMzMxKFDh/DOO+9ItmWMYdeuXcjIyEBxcTEWLlyoMGfhr1+/jmvXrmHQoEGYNGkShg4dqpT1QVq/0tJS2NrawtnZmXPlrLr4+HjY2dmhT58+0NPTw5QpUwAo9mdcWq/L47lz5xAeHg5NTU0kJCRg6dKlmDRpkmQ95VEsLS0NP//8M27cuAFNTU1s2bIFP/30k2S9Mv/OaTZGFMaqVasYAHbz5k3GGGOVlZVs3LhxzNbWljHGWEREBOvbty/Lz8+XbGNra8s++eQTxhhjIpGIjRgxgl2+fLnFY5clW1tb9uuvvzILCwtmYWHBfH19GWOMFRUVsXfffZf9/fffjDHGPDw82KhRo1hFRYVk2x07drBFixZJ2vfp04eFh4e3/JuQocrKSrZ582a2Zs0aJhQKOcuVsT5I6yYUCpmDgwMbOnQo69evX51tXFxc2KRJk1hGRkatdYr4GW+K1+XR39+fzZ49W/K6oKCA9e3blyUlJUmWUR7FZs2axX7//Xd27tw5NnXqVAaAnTlzhjGmvL9zZIU6qAoiKCiIrVixgtNBdXNzY+rq6qy4uFjS7v3332f79u1jjDFWXFzMevTowezt7SXrTUxM2LvvvssqKytbNH5ZEYlEbOHChXWuO3jwIOvdu7fkdUVFBevYsaPkyyQ5OZlpaGgwPz8/SZsff/yRTZky5c0G/Yb99ttvbMqUKZwvRcaUsz6I4ti+fXudHdSrV68yHR0dlpqaWmudon7Gm6OuPK5fv5799NNPnGUfffQRu3jxImOM8ljlwYMHzN3dXfJaKBSy999/n02YMIExpry/c2RFea5/K7Dy8nIcPnwY27dv5yy/ePEiBg8ezBkf1sDAAK6urgCAwMBAZGVlcaaINTAwwNOnTxEREdEywcuYp6cn/vrrL0yfPh2XLl3irLt48SLnvaqpqUFPT0+SDy8vL5SXl9fKx82bN1vt4MqhoaEwMzODo6Mj1NTUOOuUsT6I4qhrDMWCggIsW7YMBw8e5FxGraKIn/HmqiuPPXr0gLOzM54/fw5AfKvYs2fP8NFHHwGgPFbp1q0bvv76a8nrNm3aYNasWcjOzgagnL9zZIk6qArA1NQUGzduRNu2bTnLw8LC0L17d84yLS0tPHr0CGVlZQgLCwMATpuqgbXv37//hqN+M5KTk2FoaIiwsDB8/fXXWLp0qWSA9oiIiDrzUfVew8LCoKqqirfffpuznjGG6OjoFn0fsrJ//36MGTMGTk5OmDZtGsaNG4eAgAAAylkfRLHZ2tqipKQEubm5+Oabb/Dhhx/CyspKsl4RP+Nvwg8//IB27dphwoQJuHfvHlavXo1Tp05BR0cHAOWxira2dq0pqisqKjB27Fil/Z0jS9RBbeUEAgHS0tI4N69XycjIqHP618rKSmRnZ9c5RWznzuJJ0WtOEdtabNiwAb6+vkhJSYGRkRHOnTsHS0tLZGdnQyQSvXY63IyMDHTt2pXzhdOa81FUVAQ/Pz/06tULGzZswNWrV9G7d2/Mnj0bz58/V8r6IIrN09MTffv2xfTp03Hx4kWsWrUK69evh7OzMwDF+4y/KT179sSNGzfAGMMnn3yCyZMncx7coTzW7+bNm9i8ebNS/s6RNeqgtnJ79uzB/v3761ynoqJS5/SvAKCurl7nFLHV17dmHTt2hI2NDRYtWoQTJ040ajrchvLV2jx79gzl5eVYsGABunTpAnV1dRw4cABlZWWwsrJS6vogiik+Ph6TJ0/GwIEDAQDr169H7969YWZmBkDxPuNvUmZmJmbMmIFhw4Zh06ZNOH/+vGQd5bFunp6emDZtGoYOHaqUv3NkjTqordjp06fx2Wef1fofWhVtbe06p39VU1NDt27d6pwitrCwEABqTRHbWv32229ISEhA9+7doaGh8drpcOvLF9A681EVe6dOnSTLBg0ahD59+uDJkydUH0ThFBYWcupdRUUFU6ZMwZMnTwAo3mf8TXn48CF++uknHDt2DMHBwTAwMMCKFSsQHx8PgPJYl5ycHJw7d04y9roy/s6RNeqgtmJOTk5YunQpVFRUoKKigv79+wMAJk+eDENDQ+jp6dW60TotLQ0GBgZQVVWFnp4eAHDaVI0dqihTxA4YMAA6OjpQUVHB8OHD68xH1XvV09NDYWEhiouLOevbtGnDuYm9tai6X6zqhv0qPXv2RLdu3ag+iMLR0dGpt94BxfuMvymHDh3C1KlT0b59e3Tt2hW+vr7Q0tLC6dOnAVAeaxKJRNi2bRuOHj0KDQ0NAFDK3zmyRh3UVsze3h7379+X/Pj4+EiWnzx5EkuWLEF0dDTKysok28TExOCbb74BAMycOROampqcAZpjYmIwdOhQDBkypGXfzBvyzz//YOXKlQCAJUuWcN5rRUUFHj16JMnHggULoK6ujtDQUEmbmJgYzJgxQ3JfUGvSp08ffPjhh7h37x5neXZ2NqZOnUr1QRTOnDlz6q13QPE+429KXl4e56Hbbt26YcGCBaisrARAeaxpx44dMDIyQu/evSXLMjIylO53jszxOsgVkannz59zxkGtqKhgBgYGzMPDgzHGWGhoKOvfvz8rLCyUbGNhYcHmzp3LGBOP4aavr8+uXLnS4rHLQk5ODvvyyy8lY8r9+++/bPny5aysrIwxxlh+fj7r06cPi4iIYIwx5urqyj766CMmEokk+9iwYQP75ZdfJO379esnad8aXb16lfXo0YNlZmYyxhgLDw9nw4YNY+Xl5UpXH0Sx/Pbbb5wxJhlj7OXLl6xHjx4sICCAMcZYYWEhGzBgAHvy5ImkjaJ9xpurrjy6u7uzwYMHs/LycsmyuXPnssjISMlryqPYb7/9xrZs2cKuXr3Krl69yq5cucK2bt3KfHx8lPJ3jiwp1FSnyi4hIQH9+/fHzZs3JVOdpqSkYPPmzejbty9SU1Oxb98+ya0AVf744w+kpKSgrKwMn376KRYuXMhD9M1XWlqKzz//HEFBQRg6dChmz56N3bt3c84EPHr0CHv27IGuri5evXoFMzMzzjAgQqEQmzdvhoqKCnJycrB8+XLJ2ZfWys3NDa6urtDX10diYiJ+//13yeV/ZaoPojg8PDywd+9exMXFwdzcHIsXL5YMgRYdHY3du3dj1KhRSEpKwvfff48JEyZItlXEz3hTvS6P1tbWuHXrFkaPHo2ioiJ88sknmDlzpmRbyqP4VoitW7fWWv72228jPT0d6urqSvk7R1aog0oIIYQQQuQK3YNKCCGEEELkCnVQCSGEEEKIXKEOKiGEEEIIkSvUQSWEEEIIIXKFOqiEEEIIIUSuUAeVEEIIIYTIFeqgEkIIIYQQuUIdVEIIIYQQIleog0oIIYQ0w927d7F48WKoqKigb9++mD17NoYNG4bPP/8c9+/fb/b+R4wYAQsLCxlE+nqlpaXo3bs3PDw8ZLrfly9fYteuXZJZqlry+ImJidixYwc0NTVlsj9vb2/MnTsXq1evlsn+SP2og0qIkvj999+hq6uLiRMn4tWrV3yHQ4jC+OSTT7Br1y4AwJ49e+Dr64vQ0FCkp6dj4sSJePToUbP2P2PGDAwbNkwWob5W27Zt8emnn2LAgAEy3a+KigoKCgqQmZnJWV5QUICEhIQGjx8bG9vkY6urq6O0tBRZWVlN3kd1Y8aMwcOHD1FRUSGT/ZH6UQeVECUQHR2N7777DgKBACoqKjh79izfIRGiUDp06MB53alTJ+zZsweFhYU4cuRIs/ZtamqKGTNmNGsfjaGiooJTp05hxIgRMt1vr1698OGHH9ZabmNjw+mg1nX8hIQE2NjYNPnY2traGD58eJO3r0lLSws6Ojoy2x+pH3VQCVECenp6eO+996Curg4DAwMMHDiQ75AIUXhVn7OkpCSeI+Gfmpoa57W/vz/27Nnz2m1ycnLw9ddfo7S0tFnHVlWVbVdH1vsjdaMsE6JECgoKoKamhjlz5vAdCiEK7/nz5wCAwYMHS5ZdvHgRmzdvxsyZM/HRRx/h3r17qKyshJeXF2bOnIl9+/Zhy5Yt6NKlC27evAlvb2/J8io3btzAokWLsGPHDowYMQJWVlYAgNTUVOzduxe9evXCy5cvMXHiRHTp0gVLly5FUVERAEAkEmHLli3Ys2cP5s6dCxUVFRQWFkIoFOLChQv4+OOPcfr0acmxjI2NsXPnTixevBhqamp48OBBne+1tLQUa9euxfbt2/H1119j2rRpSE5OrrNtcnIyTp8+DaFQiMOHD+Pnn3+u8/gnTpxAamoq7t27h7Vr1yIsLAw//vgjVFRUEBgYCABwcXFBly5dsHz5csn+i4uLsW7dOqxbtw6LFy+Gi4tLrRhsbW2xefNmTJgwAVOnTkV8fHxD/5x1Sk1NxYABAzBnzhy4uLggOTkZO3fuRM+ePZGTk4PvvvsOb731FmbPno2SkhKcOnUKvXv3hra2Nvz8/Jp0TKXBCCFKIScnh61YsYKpqamxM2fO8B0OIQrl+fPnDACzt7dnjDGWl5fHPvroI9a1a1eWlJTEGGMsMDCQHTlyRLLNqlWrWPfu3Vlubi67d+8ea9euHRs7dizz9vZmK1euZA8ePGBhYWGsXbt27Pfff2eMMVZcXMw6dOjA/v77b8YYY7a2tkxVVZXl5+ezly9fsl9++YUBYL///jsLCwtjJiYmDADbsmULY4yxCxcusE2bNkli+PLLL1lBQQErLi5mfn5+DABzdHRkjDF29+5d9tVXX0nabty4kcXGxtb5/vfu3cs+/vhjxhhjIpGI9e7dm23dulWy3tHRkVXvclTl6+bNm5L3VfP4jDE2adIktmzZMsnrp0+fcrZjjLEJEyZw2nz11VfM1NSUMcZYZWUlmzlzJufYTk5O7PLly5JYZ8yYwQYNGsQqKyvrfG81VY/J3d1dklvGGEtKSmJGRkYMALO2tmYJCQnM29ubAWCLFi1inp6eLDMzk82ePZsNHTq0UcdTVm146hcTQlpY165d4eDggI8//hgWFhZYunQp3yERonB8fX2RlJSEx48f4+OPP8bFixcl9yzu27cP+vr6+PPPPwEA7du3h76+PhITEzF27Fhoampi7Nix+Oyzz/DZZ59J9tmjRw/J39XV1TF//nwYGBgAAN555x1UVlYiJycHffv2ldy/uX37drRv3x6jR4+Gj48P7O3tcejQIaSmpsLNzQ1Lly7FiBEjsH37dqirq6Nt27aYPHky572kpqbixo0b8Pf3x9SpU/Hzzz+jXbt2db5vfX19vPPOO5LX77zzjlQPJrVv377W8etS1+X16stu3boFT09PnDlzBoD4vtYvv/wSf//9t6TNvn37sGLFCsnDa3369IFIJEJmZmaDIw1U5+bmhvDwcBw6dEiyTEdHR/Jv8PPPPwMA+vXrBy0tLbz33nv48ssvAQCff/451q1b1+hjKSPqoBKiZL799lvY29vzHQYhCmn27Nn1DkEUGxuLAwcOYOzYsXWuV1VVRZcuXWotr37/Zps2beDo6Ih79+7hypUryMvLAwBUVlYCEHfIAHGHr8qUKVMQHByMzMxMfPfdd7Czs8OoUaMwf/58HDhwAG3btq11HAD49NNP8cEHH2DatGmYOXMm/vzzz3rvX//iiy9QWFgIS0tL5ObmoqioSBJTY9U8flP4+vqie/fu6NSpk2RZ9U51cXExnj17htWrV3M61NKKi4vD+fPn67xM36ZN7a5V9X8PQDxiAY0E8Hp0DyohSqC0tFTyoIFAIMCCBQt4jogQ5VNWVoaIiAjOssrKSmRnZ0u1nw0bNuDSpUvYv38/vv322wbbV50VbNu2LXr27In79+/jjz/+gLe3N/T09BAVFVXndh06dMDt27dhY2ODyMhIjB49GteuXauzbUxMjKQju3fvXvTs2VOq9yQrhYWFyM/Pr7dzXFZWBgC1/h2KiopQUlLS6OMMHToUc+fOxZIlS2Q2hBXhog5qK+Hq6go3Nze+w5BaWFgYunXrVu/N8k2VnZ0NU1NT9OvXjzNMSUscPzMzE//73//Qt2/f1x5b1kpLS3HkyJF6z74EBARg/vz5WLduHTZt2sT53/nFixcxdOhQ7Ny5E3fv3sWmTZsafdzg4GAsXrwYn376abPfAyHKbNiwYTh06BAKCgoky1xdXVFYWNjofdy4cQNHjx7F3r17X3vGUSQSSf6elpaGDz74AG+99RYuX76Mdu3aYdeuXYiNjUXnzp3h4OBQ5z78/f1RVFQEIyMjxMXFYciQITh27FidbY2MjDBhwgQMGTKkUe+j6kyvtO00NDQAgNOZrKyslHRI33//fQiFQty6davWviorK/H2229DW1sb+/fvh1AolKw7efJko2Oqvo2qqiqWL18OxphU25KGUQe1lbC1tcXJkyf5DkNq2tra+PTTT9G1a1eZ7lckEkFVVRWJiYm11lUf1Lm+4zdn4GdAfCaiJYeOqaiogLOzM+zs7JCWllZrfXR0NBYvXoxjx47B2toaIpEIW7dulaxfsmQJnj17hgMHDmDDhg1SDZMydOhQJCcnN3uoF0IUWVWHqbi4uN42v/76KxISEjB27FgcOXIEu3fvxq1bt9C3b18A4g5U1Rm+6kQikaTDWfU5PHPmDGJiYuDo6AhA/J0WHR0t2abqO66iogJubm7YvXs3ACA+Ph7nz58HAOjq6mLMmDF47733JMep/mdmZiaOHj0KQHwf7JQpUyRtayotLcX169fx5MkTnDlzBs+ePUN6ejpu3LhR5747duwIAHj8+DH8/f1RWFhYq01Vu3///RevXr1CUFAQevbsiU6dOuH8+fOIi4uDubk5kpOT8eTJE/z7779YunQpunfvDiMjI8THx6O4uFgSw61bt1BUVIRff/0VoaGhmDhxIo4dO4ZNmzYhNzcX7dq1Q0BAAHR1dXHhwoV6/x2r/j26deuGc+fO4erVqzAzM+Osr/k+qneiAUg6tNXbkBr4fkqLNOzx48esa9euTFVVlSUkJPAdjty4ceMGA8CeP38uWZabm8vmz5//2u0a06Yh/v7+tY7dErZv38769etXa/ns2bPZd999J3l97949pqamJrP4li5dyiZNmiSTfRGiaO7cucMWLVrEADA9PT3m4uJS7xPhJ06cYH379mVdunRhy5cvZ4WFhayiooIdPXqUqaqqsr59+7K//vpL0v748eNMVVWV6evrs/DwcFZeXs7mzJnDOnfuzBYvXszi4uJYt27d2JIlS5hQKJQ8Lb9hwwa2d+9eNn/+fHbixAnJ/kxMTFibNm3YkiVL2Pbt29nmzZtZRUUFKykpYfv27WMA2LRp09ijR4+Ys7MzA8C+/PJLtnPnTvbDDz+wwsLCOt+Xj48P09TUZAMHDmSXL19mW7duZb169WKBgYEsPj6eTZkyhQFg+/btYzk5OYwxxlavXs26du3KrK2t6zx+1X579OjBZs2aJTm2vb09e+utt9jw4cPZ/fv32cyZM9n333/P/vnnH8YYY6GhoWzEiBFMQ0ODzZw5k/3xxx9s9OjR7Ny5c6y8vJxVVlayffv2MS0tLdajRw+2ZcsWJhQKGWOMeXp6Mk1NTTZ27Ng636eTkxPr1KkT69u3L7t69SpLSUlhOjo6TFVVlf3+++8sODiYTZ48mQFgxsbGLDMzk1lZWTFVVVU2YsQIFhQUxCIiIpihoSEDwP744w9WVFQkRbUpD+qgtgL/93//x65evcrU1NTY7t27+Q5Hbty8eZPTSSwpKWGzZ89+bUeqMW2acuyW8vvvv9fqoObl5bE2bdowc3NzybKSkhKmqqrKzMzMZHLcZcuWUQeVkFag5nBOpGnWrVvHdwhKjy7xy7ny8nI8e/YMn376KebMmQNHR8daN3/fvn0bCxcuxA8//AB3d3f07t0bffr0gZOTk6RNWVkZduzYga1bt2LOnDn45ptvkJKSIllf38DPjd2/ra0ttm3bhjVr1qBt27bw9vZGTk4OzMzM0L9/f869mnW1rc/r4qrpzJkz+Pfff/HkyROsXbsWzs7OtY5fvc2PP/4IKysrdOrUSTLIc0xMDKZPn17rXiSRSISdO3fihx9+wKpVq3D48GHO+pKSEuzduxdGRkbQ19fHihUrkJ+fX2ecXl5e6NOnD1RUVODg4IDc3FyMGDECc+fOrfOWhYbcv38fFRUV6N69u2RZu3bt8NZbb+H+/ftS768hBQUF+OijjzBu3Dg4ODggNDQUK1aswKxZsxAbG4sJEyagc+fO2LlzJ4RCITZt2oS33noL+vr6NKMOIUTuubu7Y/78+XyHQfjuIZPXu3DhAnNxcWGMMXb16lUGgPn4+HDaxMbGsn79+rFRo0axI0eOsIiICDZp0iSmqqrKoqOjGWOMLViwgFlbW0u2+frrr9mwYcOYUCh87cDPjdl/UlISGzVqlGTflpaW7MqVKyw9PV0ySHTVmcb62talobjqOotZ/UxfXcev2Yax2oM8nzp1qtYZiE2bNrGffvpJ8vqHH37g7HfdunUsOTmZMcZYdnY209TUZKtWrarzfTEmvgSlpqbG/vzzT5aTk8Pmzp3LysvL621fpa4zqG5ubgwA8/Ly4izv06cPmzFjRoP7bIzqObt9+zZbvny5JN4nT54wAwMDNmjQIObk5MTS09PZjh07GAD266+/srCwMPb8+XOmo6PDjIyMZBIPIaRu9vb2DECjvk9Ibffv32cPHz7kOwzC6Ayq3PPy8sK8efMAADNnzkT//v1rjWH5wQcfoF+/fhgwYADWr1+PkSNHws7ODoD4KcPY2Fi4urpK9gMAO3fuxMOHD3H+/PnXDvzcmP1nZGQgKioKzs7OAIDly5dDR0cHWlpaGD16NCfW+trWpaG4GlLX8etS84Ghmq+fP3+OI0eOwMjISLLsq6++kvz9xYsXuHLlCs6ePYs///wTtra2mDBhQp0PO1QZM2YMNm3aBGNjY/z888+wsLCAurp6o95XTXWNewiIz/o2dZ/1uX37Nk6dOgV7e3vJvgcNGoTBgwejV69eWLZsGbS0tCSTAMycOROjR4+Grq4uxo8fjydPnsg0HkLIf4KDg3H27FkA4sHoG/tdSf6jr6+PoUOH8h0GAQ3UL9ceP36MR48eYc2aNZJlXbt2hbe3N9LT0znjzKmoqHA6KO+99x50dHTw9OlT3Lx5EwA4A0Dr6emhTZs2CA8Px7Jly1478HND+6+6PL148WIcPXoUJiYmMDQ0BFB74OXXta2poQGpG0MWAz9fu3YNlZWV0NXVlSyrPvDzw4cP0a5dO/z6669S7Xffvn24dOkSsrOz8e677zY5Pm1tbQCQ5KdKYWEhNDU1m7zfml69eoXZs2fD2tq61kDUNV/X7CwD4pEPqg/rQgiRrfHjx9c5vBIhrRGdQZVj9vb28PDwgJOTk+Tn8uXLEIlEnPs/66OlpYW2bdtKhrNIT0+XrFNVVYWmpqbkLJi0Az9X37+KigouXboEZ2dnpKWlYfLkyfUOiSVN26bGJWtVYxTWdzairKwMCQkJtQbbbmjw5sLCQgwcOBDXrl3D1atXmxzfkCFDoK6ujoyMDMmy4uJi5OfnY8yYMU3eb03du3fH6tWrsW7dOggEApntlxBCCKmJOqhyqrS0FP/++2+tM2t9+/bFxIkTcerUqVoDA9ccTy0tLQ3jxo2TdFICAwMl6xhjyM7OxpQpU5o08HP1/T98+BBPnjzBwoUL8fDhQ0ydOlUydl5N0rRtbFzVNWag5boGfq456HP1P99//31JPDVVVlZi6NChJq2YXQAABCJJREFUKCsrw4EDBzjrTp069do4du7ciTNnzmDZsmX46aefUFRU1GDsdenWrRtmz56NkJAQybLY2FhoaGhg7ty5TdpnfUxNTTFo0CAsWLDgtbcwEEIIIc1BHVQ5dfr0aYwfP77OdXPmzIFAIKh11u3hw4eSTuvt27chEomwatUqfPzxx5g+fTqOHDkiGeT5ypUrGDFiBD777LNGD/xc3/4LCgpw8OBBAOKp8ebMmVPvwM+va1tTQ3HVN6jzixcvkJOTg+vXrzeqzbvvvougoCBERETA09MTnp6eAMQd+qKiIsyaNQvvv/8+fvvtN4SEhKC8vFwy3d+9e/egqamJr776CocPH8Z3332HEydOYN68eZJ7Z+tib2+P6dOno2fPnjA3N0d+fj62bdtWb/sqQqGwzvmbd+3aBX9/f8kg4adPn8aGDRvqvb+3SllZGcaOHYtvvvnmtTOhVA1MraGhARcXFzx+/JgzG1X1gcSB2p18QPyfIhqUmhBCSKPw+IAWqYezszPr1q0bGzduHAsODuase/DggWTA4z59+kie8J80aRIbMWIEW79+Pfv111/Zl19+yR48eCDZLjs7my1dupSNHTuWGRkZsZ9++ollZ2czxliDAz83tP979+4xAGzq1Kls586dbPny5Sw1NZUlJiayBQsWMABs/fr1LCsrq962dXldXElJSZJ9//LLL+zly5eMMcYiIyNZr1692EcffcQSEhJqHb9mm7S0NPbs2TM2dOhQ1rVrV3bo0CHm6OjIRo8ezU6fPs3KysoYY+In1SdOnMg0NDTYxx9/zI4cOcIGDx7Mjh07xoqKilhOTg5bsmQJ69ixI+vfvz87ffp0vf++bm5urF27duzSpUuMMcYEAgEbNGgQA8C2b9/OiouL69zu4sWL7IMPPmCqqqrMwsKCpaenc9Z7enqyhQsXsnXr1rGdO3cykUhUbwxVSkpKmK6uLnvnnXdYZGRknW0uX77MdHR02FtvvcWcnZ1ZXl4e09fXl+T+xIkTrHfv3pL1KSkp7Oeff2YA2KJFi9iTJ0/YX3/9xfr06cM6d+7M3NzcGoyLEEKIclNhjCaQVQSGhobQ1dVt1L2p8rh/wq9Dhw7h22+/Rb9+/fgOhRBCCKFL/IQou+TkZFRWVlLnlBBCiNygDqqCqKioeKND+Lzp/RN+FBYWIjIyElu3buU7FEIIIUSCOqitnEgkgq2tLaKjoxEQEAAvL69WtX/Cr06dOuHzzz9v1OgHhBBCSEuhe1AJIYQQQohcoTOohBBCCCFErlAHlRBCCCGEyBXqoBJCCCGEELlCHVRCCCGEECJXqINKCCGEEELkCnVQCSGEEEKIXKEOKiGEEEIIkSvUQSWEEEIIIXKFOqiEEEIIIUSuUAeVEEIIIYTIFeqgEkIIIYQQufL/AGi9zLnJZ628AAAAAElFTkSuQmCC\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=30, 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.png', dpi= 300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis.pdf', dpi=300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis.eps', dpi=300,bbox_inches='tight')\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 21, "id": "23f4a898", "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].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.png', dpi= 300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load.pdf', dpi=300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load.eps', dpi=300,bbox_inches='tight')\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 22, "id": "d1a7fb4a", "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", "\n", "axes[0].hist(u1, bins=30, 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=30, 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.png', dpi= 300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers.pdf', dpi=300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers.eps', dpi=300,bbox_inches='tight')\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "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": 14, "id": "34c7a258", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.792" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "percent_between(x1, 500e3, 600e3)" ] }, { "cell_type": "code", "execution_count": 15, "id": "750d57ed", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.997" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "percent_between(x1, 450e3, 650e3)" ] }, { "cell_type": "code", "execution_count": 16, "id": "b11149fd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.999" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "percent_between(x1, 350e3, 750e3)" ] } ], "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 }