{ "cells": [ { "cell_type": "markdown", "id": "cell-0", "metadata": {}, "source": [ "# 8U CubeSat Power Generation\n", "\n", "Demonstration of the **missiontools** solar power tools.\n", "\n", "**Scenario**\n", "- 8U CubeSat (10 × 20 × 40 cm, 1×2×4U configuration)\n", "- 500 km sun-synchronous orbit, nadir-pointed\n", "- Solar cells on all faces except nadir, 80% fill factor, 30% efficiency\n", "- Two cases: LTAN 12:00 (noon) and LTAN 06:00 (dawn-dusk)" ] }, { "cell_type": "code", "execution_count": 1, "id": "cell-1", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:56.260116Z", "iopub.status.busy": "2026-03-08T03:45:56.259147Z", "iopub.status.idle": "2026-03-08T03:45:57.501951Z", "shell.execute_reply": "2026-03-08T03:45:57.500919Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from missiontools import Spacecraft, NormalVectorSolarConfig\n", "from missiontools.attitude import AttitudeLaw" ] }, { "cell_type": "markdown", "id": "cell-2", "metadata": {}, "source": [ "## 1. CubeSat geometry\n", "\n", "Body frame convention (nadir pointing): body-z = nadir, body-x = along-track.\n", "The 40 cm long axis is along body-z (nadir), so the nadir face (+z) is 10 × 20 cm." ] }, { "cell_type": "code", "execution_count": 2, "id": "cell-3", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:57.504576Z", "iopub.status.busy": "2026-03-08T03:45:57.504220Z", "iopub.status.idle": "2026-03-08T03:45:57.511679Z", "shell.execute_reply": "2026-03-08T03:45:57.510742Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Face Normal Cell area (cm²)\n", "--------------------------------------------------------------\n", "Zenith (+Z anti-nadir) [0, 0, -1] 160.0\n", "+X side [1, 0, 0] 640.0\n", "-X side [-1, 0, 0] 640.0\n", "+Y side [0, 1, 0] 320.0\n", "-Y side [0, -1, 0] 320.0\n", "Total 2080.0\n" ] } ], "source": [ "FILL_FACTOR = 0.80\n", "EFFICIENCY = 0.30\n", "\n", "# Panel normals (body frame) and gross areas (m²)\n", "faces = {\n", " 'Zenith (+Z anti-nadir)': ([0, 0, -1], 0.10 * 0.20),\n", " '+X side': ([1, 0, 0], 0.20 * 0.40),\n", " '-X side': ([-1, 0, 0], 0.20 * 0.40),\n", " '+Y side': ([0, 1, 0], 0.10 * 0.40),\n", " '-Y side': ([0, -1, 0], 0.10 * 0.40),\n", "}\n", "\n", "normals = np.array([v[0] for v in faces.values()], dtype=float)\n", "areas = np.array([v[1] * FILL_FACTOR for v in faces.values()])\n", "\n", "print(f\"{'Face':<30} {'Normal':>14} {'Cell area (cm²)':>16}\")\n", "print('-' * 62)\n", "for name, (n, a_gross) in faces.items():\n", " print(f\"{name:<30} {str(n):>14} {a_gross * FILL_FACTOR * 1e4:>13.1f}\")\n", "print(f\"{'Total':<30} {'':>14} {areas.sum() * 1e4:>13.1f}\")" ] }, { "cell_type": "markdown", "id": "cell-4", "metadata": {}, "source": [ "## 2. LTAN 12:00 (noon orbit)" ] }, { "cell_type": "code", "execution_count": 3, "id": "cell-5", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:57.513894Z", "iopub.status.busy": "2026-03-08T03:45:57.513666Z", "iopub.status.idle": "2026-03-08T03:45:57.519359Z", "shell.execute_reply": "2026-03-08T03:45:57.518504Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Altitude : 500 km\n", "Inclination : 97.40°\n", "LTAN : 12:00\n", "Propagator : j2\n" ] } ], "source": [ "EPOCH = np.datetime64('2025-03-20T12:00:00', 'us') # spring equinox\n", "\n", "sc_noon = Spacecraft.sunsync(\n", " altitude_km=500.0,\n", " node_solar_time='12:00',\n", " epoch=EPOCH,\n", ")\n", "sc_noon.attitude_law = AttitudeLaw.nadir(0.0) # no rotation around local zenith\n", "\n", "cfg_noon = NormalVectorSolarConfig(normals, areas, efficiency=EFFICIENCY)\n", "sc_noon.add_solar_config(cfg_noon)\n", "\n", "print(f\"Altitude : 500 km\")\n", "print(f\"Inclination : {np.degrees(sc_noon.i):.2f}°\")\n", "print(f\"LTAN : 12:00\")\n", "print(f\"Propagator : {sc_noon.propagator_type}\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "cell-6", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:57.521868Z", "iopub.status.busy": "2026-03-08T03:45:57.521642Z", "iopub.status.idle": "2026-03-08T03:45:57.532387Z", "shell.execute_reply": "2026-03-08T03:45:57.531477Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Orbital period : 94.6 min\n", "Orbit avg power : 13.56 W\n" ] } ], "source": [ "# Orbital period\n", "mu = sc_noon.central_body_mu\n", "period_s = 2 * np.pi * np.sqrt(sc_noon.a**3 / mu)\n", "period = np.timedelta64(int(period_s * 1e6), 'us')\n", "\n", "# Power generation over one orbit\n", "result_noon = cfg_noon.generation(EPOCH, EPOCH + period, np.timedelta64(10, 's'))\n", "oap_noon = cfg_noon.oap()\n", "\n", "print(f\"Orbital period : {period_s / 60:.1f} min\")\n", "print(f\"Orbit avg power : {oap_noon:.2f} W\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "cell-7", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:57.534555Z", "iopub.status.busy": "2026-03-08T03:45:57.534314Z", "iopub.status.idle": "2026-03-08T03:45:57.766684Z", "shell.execute_reply": "2026-03-08T03:45:57.765682Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "elapsed_noon = (result_noon['t'] - result_noon['t'][0]) / np.timedelta64(1, 'm')\n", "\n", "fig, ax = plt.subplots(figsize=(10, 4))\n", "ax.plot(elapsed_noon, result_noon['power'], linewidth=0.8, label='Instantaneous')\n", "ax.axhline(oap_noon, color='tab:red', linestyle='--', linewidth=1, label=f'OAP = {oap_noon:.2f} W')\n", "ax.set_xlabel('Time (minutes)')\n", "ax.set_ylabel('Power (W)')\n", "ax.set_title('Solar power generation \\u2014 LTAN 12:00')\n", "ax.legend()\n", "ax.set_xlim(0, elapsed_noon[-1])\n", "ax.set_ylim(bottom=0)\n", "ax.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cell-8", "metadata": {}, "source": [ "## 3. LTAN 06:00 (dawn-dusk orbit)" ] }, { "cell_type": "code", "execution_count": 6, "id": "cell-9", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:57.768862Z", "iopub.status.busy": "2026-03-08T03:45:57.768628Z", "iopub.status.idle": "2026-03-08T03:45:57.780243Z", "shell.execute_reply": "2026-03-08T03:45:57.779139Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LTAN : 06:00\n", "Orbit avg power : 27.35 W\n" ] } ], "source": [ "sc_dd = Spacecraft.sunsync(\n", " altitude_km=500.0,\n", " node_solar_time='06:00',\n", " epoch=EPOCH,\n", ")\n", "sc_dd.attitude_law = AttitudeLaw.nadir(0.5*np.pi) # rotate 90 degrees about local zenith for peak generation\n", "\n", "cfg_dd = NormalVectorSolarConfig(normals, areas, efficiency=EFFICIENCY)\n", "sc_dd.add_solar_config(cfg_dd)\n", "\n", "result_dd = cfg_dd.generation(EPOCH, EPOCH + period, np.timedelta64(10, 's'))\n", "oap_dd = cfg_dd.oap()\n", "\n", "print(f\"LTAN : 06:00\")\n", "print(f\"Orbit avg power : {oap_dd:.2f} W\")" ] }, { "cell_type": "code", "execution_count": 7, "id": "cell-10", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:57.782230Z", "iopub.status.busy": "2026-03-08T03:45:57.782007Z", "iopub.status.idle": "2026-03-08T03:45:57.983276Z", "shell.execute_reply": "2026-03-08T03:45:57.982146Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "elapsed_dd = (result_dd['t'] - result_dd['t'][0]) / np.timedelta64(1, 'm')\n", "\n", "fig, ax = plt.subplots(figsize=(10, 4))\n", "ax.plot(elapsed_dd, result_dd['power'], linewidth=0.8, label='Instantaneous')\n", "ax.axhline(oap_dd, color='tab:red', linestyle='--', linewidth=1, label=f'OAP = {oap_dd:.2f} W')\n", "ax.set_xlabel('Time (minutes)')\n", "ax.set_ylabel('Power (W)')\n", "ax.set_title('Solar power generation \\u2014 LTAN 06:00')\n", "ax.legend()\n", "ax.set_xlim(0, elapsed_dd[-1])\n", "ax.set_ylim(bottom=0)\n", "ax.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cell-11", "metadata": {}, "source": [ "## 4. Comparison" ] }, { "cell_type": "code", "execution_count": 8, "id": "cell-12", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:57.985534Z", "iopub.status.busy": "2026-03-08T03:45:57.985279Z", "iopub.status.idle": "2026-03-08T03:45:58.198274Z", "shell.execute_reply": "2026-03-08T03:45:58.197444Z" } }, "outputs": [ { "data": { "image/png": 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xfft2uLu733b5qpw/jR599FGo1eoy1zdnzhyz18bOOsvaF4mIbsWkm4hqrU6dOmH9+vVITU3FoUOHsGDBAmRmZmL8+PGm9tQxMTFQqVRo3Lix2Xv9/Pzg5uaGmJiY237GqlWr0KZNG2i1Wnh6esLb2xt//PGHWVtco7CwsCrF36RJk1LTmjZtipycHCQlJSEpKQk5OTlo1qxZqeWaN28Og8GAa9euAShObvbu3Yvs7GwcP34cvXr1Qu/evU0X4nv37oWLiwvatm0LQK5uDciJo7e3t9njm2++QX5+fqnvWdnveOnSpQqr/cfExKBJkyZmvf0av5txfkkNGjQwe21MZoODg8ucnpqaaja9cePGZokPIG9vAKYhfQwGAz744AM0adIEGo0GXl5e8Pb2NlXhvVVltkdYWBjmzZuHb775Bl5eXhgyZAg+++wzs/VVdT+9dVsAgLu7e6nvfKukpCTEx8ff0aMy7X5vjcuYGBnjMn6Psvbp8PBw0/zbLde8eXPTzaGqfHZ5Jk2ahNzcXNPNuqysLGzevBkTJkww7S99+vTBuHHjsGTJEnh5eWHUqFFYsWJFhf1CGL/Hrce6t7d3qaSxsvvePffcAwcHB7Pj2nisHzlyBHl5eaZ5t/a7oNVqS90YvHW/uXUfMd6MMLajvvUYKutvVFkvvvginJyc0LlzZzRp0gRz5swp1Z+E0b333gtnZ2ds3boVLi4uFa67KudPo9sdz7f+DRs1agSVSsXhwIioUph0E1GtZ2dnh06dOuHNN9/EF198gcLCQqxbt85smVsvFCtj9erVmD59Oho1aoTly5djy5Yt2LZtG/r371+qBBhAhSWelhQQEICwsDDs2bMHEREREEKgW7du6NWrF65du4aYmBjs3bsX3bt3NyW5xu/w7rvvYtu2bWU+SrYHBZT9juWVQJU3XdymzXl53nzzTcybNw+9e/fG6tWrsXXrVmzbtg0tW7a8q7/5+++/j1OnTmHhwoXIzc3F3Llz0bJlS8TGxpotV9n99E6/c6dOneDv739Hj1sTlOqMqzrc6Wd37doVoaGh+OmnnwAAGzduRG5uLiZNmmRaRpIk/Pzzz4iIiMCTTz6J69evY+bMmejQoYNZCfndqOy+Z2triy5dumDPnj2IiopCfHw8evXqhZ49e6KwsBAHDx7E3r17ER4eXirBLm8blXTrPvLee+9V+buUtx/feuOmefPmOH/+PH744Qf07NkTv/zyC3r27IlXXnml1HvHjRuHS5cuYc2aNVWOp7Kqcn67k98UIqq/2JEaEdUpHTt2BCBXTwXkDtcMBgMuXrxo1oFNQkIC0tLSEBISUu66fv75ZzRs2BDr1683u8Aq64LwThhLmku6cOECHBwcTBfLDg4OpirjJZ07dw4qlcqslLdXr17Ys2cPwsLC0K5dOzg7O6Nt27ZwdXXFli1bcOzYMSxZssS0fKNGjQDI1awHDhxYLd+p5LrPnDlz22VCQkJw6tQpGAwGs9Luc+fOmeZXp6ioKAghzP6WFy5cAABTp1w///wz+vXrh+XLl5u9Ny0t7bYdNlVG69at0bp1a7z88svYv38/evTogWXLluH111+/q/20KtasWYPc3Nw7eu+tvd7fCeP3OH/+PPr372827/z586b5JZe71blz5+Dl5VWtw9VNnDgRH330ETIyMvDjjz8iNDQUXbt2LbVc165d0bVrV7zxxhtYu3YtHnzwQfzwww945JFHylyv8XtcvHjRrIpzUlJSqRL4qux7vXr1wttvv43t27fDy8sL4eHhkCQJLVu2xN69e7F3716MHDnyjrbFrfuIMe6QkBCcOXOm1DFU1t/I3d3drCd1o5iYGLPtAACOjo6YNGkSJk2ahIKCAowdOxZvvPEGFixYYNYE4d1334WNjQ2eeOIJODs7l9vRmpG3t3eVzp8VuXjxollJeFRUFAwGw23H32ZiTkRGLOkmolpp586dZZZgGdvXGasUDh8+HADw4Ycfmi333//+FwBMPf2WxVgqVPJzDh48iIiIiDsPvISIiAiztprXrl3Db7/9hsGDB0OtVkOtVmPw4MH47bffzKowJiQkYO3atejZs6dZNctevXohOjoaP/74o6m6uUqlQvfu3fHf//4XhYWFZm08O3TogEaNGuG9994rs7QuKSnpjr/buHHjcPLkyTJ7hzduz+HDhyM+Ph4//vijaZ5Op8Mnn3wCJycn9OnT544/vyxxcXFm8WRkZOC7775Du3btTAmlWq0utV+tW7euzOGsKisjIwM6nc5sWuvWraFSqUzVk+9mP62KHj16YODAgXf0qI6xxzt27AgfHx8sW7bMrGr2n3/+ibNnz5q+p7+/P9q1a4dVq1aZJW9nzpzBX3/9Zdpe1WXSpEnIz8/HqlWrsGXLFkycONFsfmpqaqn9wjh6we2qmA8cOBC2trb45JNPzN5/698ZqNq+16tXL+Tn5+PDDz9Ez549Tcldr1698P333yMuLq7M9tyVces+YkyShw8fjri4OPz888+mZXNycvDVV1+VWkejRo1w4MABsx7aN23aVKq2RHJystlrOzs7tGjRAkKIUm3nJUnCV199hfHjx2PatGlmfXeUparnz4p89tlnZq8/+eQTAMCwYcPKfY/xxlBZNyCIqH5hSTcR1UpPPfUUcnJyMGbMGISHh6OgoAD79+83lVLNmDEDANC2bVtMmzYNX331FdLS0tCnTx8cOnQIq1atwujRo9GvX79yP2PkyJFYv349xowZgxEjRuDKlStYtmwZWrRoUS1VSlu1aoUhQ4aYDRkGwKw0+vXXX8e2bdvQs2dPPPHEE7CxscGXX36J/Px8vPPOO2brM15knz9/Hm+++aZpeu/evfHnn39Co9GgU6dOpukqlQrffPMNhg0bhpYtW2LGjBkIDAzE9evXsXPnTri4uGDjxo139N2ef/55/Pzzz5gwYYKpGm5KSgp+//13LFu2DG3btsWsWbPw5ZdfYvr06Th69ChCQ0Px888/459//sGHH34IZ2fnO/rs8jRt2hQPP/wwDh8+DF9fX3z77bdISEjAihUrTMuMHDkSr776KmbMmIHu3bvj9OnTWLNmTanSuar4+++/8eSTT2LChAlo2rQpdDodvv/+e6jVaowbNw7A3e2ntYmtrS3efvttzJgxA3369MHkyZNNQ4aFhobi2WefNS377rvvYtiwYejWrRsefvhh05Bhrq6uWLx4cbXGdc8996Bx48Z46aWXkJ+fb1a1HJD7dvj8888xZswYNGrUCJmZmfj666/h4uJy2xsAxnGwly5dipEjR2L48OE4fvw4/vzzz1Kl11XZ97p16wYbGxucP3/erCOz3r1744svvgCAO066y/Poo4/i008/xdSpU3H06FH4+/vj+++/h4ODQ6llH3nkEfz8888YOnQoJk6ciEuXLmH16tWm2jVGgwcPhp+fH3r06AFfX1+cPXsWn376KUaMGFHm8a9SqbB69WqMHj0aEydOxObNm0vVmCipKufPily5cgX33Xcfhg4dioiICKxevRoPPPCAqY+MsrRr1w5qtRpvv/020tPTodFo0L9/f/j4+FTps4moDrB+h+lERHfvzz//FDNnzhTh4eHCyclJ2NnZicaNG4unnnpKJCQkmC1bWFgolixZIsLCwoStra0IDg4WCxYsMBtSSojSw9kYDAbx5ptvipCQEKHRaET79u3Fpk2bxLRp00RISIhpOeOQVu+++26l4wcg5syZI1avXi2aNGliWn9ZQ8scO3ZMDBkyRDg5OQkHBwfRr18/sX///jLX6+PjIwCYbYN9+/YJAKJXr15lvuf48eNi7NixwtPTU2g0GhESEiImTpwoduzYYVqm5LA9lZWcnCyefPJJERgYKOzs7ERQUJCYNm2auHnzpmmZhIQEMWPGDOHl5SXs7OxE69atxYoVK8zWU972NQ5TdetQXMbhf0oO7xQSEiJGjBghtm7dKtq0aSM0Go0IDw8v9d68vDzx3HPPCX9/f2Fvby969OghIiIiSu0b5X12yXnGv+Xly5fFzJkzRaNGjYRWqxUeHh6iX79+Yvv27Wbvq+x+avwut7o1Rmsqb3sY/3a3/k1//PFH0b59e6HRaISHh4d48MEHRWxsbKn1bt++XfTo0UPY29sLFxcXce+994rIyEizZcrbN437wZUrVyr1HV566SUBQDRu3LjUvGPHjonJkyeLBg0aCI1GI3x8fMTIkSPNhvwrj16vF0uWLDHtU3379hVnzpwpNbxUZfc9o06dOgkA4uDBg6ZpsbGxAoAIDg4utfy0adOEo6NjqenG7VcZMTEx4r777hMODg7Cy8tLPP3002LLli1lDov1/vvvi8DAQKHRaESPHj3EkSNHSn2XL7/8UvTu3dt07mnUqJF4/vnnRXp6eqn4Sv59c3JyRJ8+fYSTk5M4cODAbWOuzPmzrHPGrZ8fGRkpxo8fL5ydnYW7u7t48sknzYa9E6LsodK+/vpr0bBhQ6FWqzl8GFE9Jglhhd5NiIjIjCRJmDNnDj799FOlQ6kXQkND0apVK2zatEnpUIiIiKieYZtuIiIiIiIiIgth0k1ERERERERkIUy6iYiIiIiIiCyEbbqJiIiIiIiILIQl3UREREREREQWwqSbiIiIiIiIyEJslA7A0gwGA+Li4uDs7AxJkpQOh4iIiIiIiOoAIQQyMzMREBAAlar88uw6n3THxcUhODhY6TCIiIiIiIioDrp27RqCgoLKnV/nk25nZ2cAQExMDNzc3JQNhkhBBoMBSUlJ8Pb2vu2dOKK6jscCkYzHApGMxwLdqYyMDAQHB5tyzvLU+aTbWKXcxcUFLi4uCkdDpByDwYC8vDy4uLjwB4XqNR4LRDIeC0QyHgt0typqxsy9ioiIiIiIiMhCmHQTERERERERWQiTbiIiIiIiIiILYdJNREREREREZCFMuomIiIiIiIgshEk3ERERERERkYUw6SYiIiIiIiKyECbdRERERERERBbCpJuIiIiIiIjIQph0ExEREREREVkIk24iIiIiIiIiC7FROoBaTwhAlwcU5sr/6/KAwjxAl1v8vy4f0BcAeh1gKAT0hcX/m57r5GWMzw2F5u8RBvmzhAGAKH4NUTS9vHlFzyUJkFRFD3XR/xKgUpcxXQWoVObTVWpAbQeobQG1puh/uxLT7ACbcqYbH7b2RQ8H+X8brRwDEdUdBr18PizMBQpzis6L+UXnO+O50Hh+K/HctExB6WUMOvlcZtAXndMMgNDL57ZS04zLCfPlJAmAfB6UALgVFELSaovPjZCKz4sln5vOiWpAZVt0XrMtfq6yBdQ2Rf/blXhuC6hszM+DxvOerb18vrSxB2y18v82Gp4PiYiI6qj6k3Tr8oDsZKAgEyjIBvKzgALjo6LXOeZJdGFecYKtyzP/HJVtiQurEhdTxiTUeBFW5sVbiXk2WkDjXHxBZ7zwu92FIaSi51Lp5QDzC9AyL2CLnhsMZVzE6uQbAIU5t1wQl3ORrC+85SI6v3j7lWRzSyJuqy3x3KFoOxa9tnMENE6AxgWwcyp67gzYOcvP7YyvneRtRkRlE0I+PguygPyM4vNdfqb8MD0vml6YIx+/hTnFybTxRqPZtDz5WDeSVLecA4vOgxXdoLt1msqm8jcIjQmyVHK6VOLGJCAMehRkZsDOyQmS8cZleTcsIeRzokFnfrO0ILvopqmugpunxkd+6RuyBp3538VGWyIp15r/jtg5yOdAu6JznfF8eNvXzvL/vMFJRERkGbqCSi1WbzIT1ftNAU1RImpK0hzNL2JM05wA16Diixhbx+ILn5KJtFmpRdH/KrXSX7VmMxiKLj5zS1+s3+6CviBbvvjPvFGUCGSaJwXGRMHIxr5EUl70v8YFsHcDtG6A1rX4uX3R65LPbR14kUo1l0EP5KUXPdKA3DT5/7z0Mp6n35JEFx07xoRPZWN+88p0zJR4rnUDnMu5MWZrX+LmmXFa0TJqu5p5HBkMyElMhJOPj5y0K0WvK1FDKrfs/421pwqzi86D2fLfLzcVSL9W/No4z3izOD9LvmkKyDcj7JyKE3dbh+LXpr+TqvSNilLTyplvrAlV7k3lW2oA3LqM2q74JkPJGw28eUpEVH+UqvmWX6IQr8D8obv1dX7xjXChLypY1BcVJJZ8XeL/UtPKW7bEdF1e0fVURnFBRXZuxd8N9SjpNjx5HPAJ4B1/palUgKro4hwe1btug0G+MM03JuGZJZ5nAXkZxQlKeiyQcKY4KTFOL8gsitO2dIJu7w44eBY9PEo8L3rYewA2dtX7nahuE0LeP3OSy3/kphYn0rlFiXZ+uvx+SX2bm0dugFuIPE3jfMsNKKeiJNuZ1ZqVpLYB1EU3OKqbqTZDdvG5sDCnODkvzCmuyWVqwlSiGVO5D1GiWn9hcU0os1L9guIaAJV6ni/HemvNMUlddql/yZvexuemG+iOt9xQv81zXg8QEVWevrBEbbhbCr2MvzG3FqTpjM3NSj5yShSs5RVPM94oLkmtKaN2XFlNWo0144qaxEq3/q8yf226SayteNmS023t5UI843WVxgXIB/BWkwo3X71JuuHoWZToUZ2lUhUfBPC/s3XodfLdq9zUEiWIxqQ8FchJAVKuALFHgJybRYlRivweQD74TAm5V9kJuqMX4OgNOPnIF3+86Ks79Dp5v8hKBLKT5H2jzGS6xHRDoXzyN7uJU7TPOPkC3uHmiXTJWhp2jtx/qGySVFTjQCv//tUGxhsFxr5QSvWVUrJWQL55Vf2CohsKmTdKlPobS/5LPDerAaCSa7KVTNS1rvJ5XOsKaF2KnruUmO4CaFzN59tqld1uRES3Y7y2NdaCK1kTLi+9RDOzkjVIy0iqTc3HpBI1hEv8b6xJZVui9pvWtXQtuFI15OyLp9nYmTctqw3XOBkZlVqs/iTdqdGAwaX4tZ2TnPToCoCM2NLLezSU/8+IK3333dFbTuzy0uWL5pJs7AEXf7nUNS269HpdG8ilG5nx8l2dkuw95Ivp/CwgO9F8ntpOrvIOyEkfhPl8lyB5R81KKi6tNdK6yRfxhbnyBUlJkhpwD5Gfp8aUvsvk7C8fCDkp8sFakp0z4ORdzjaUAI8w+Wl6rFyqUZKjj3yQ5qYBuSnm82wdAGc/+SSRfhWluIXKCXbGjdJtxB085QM8P1NOekqy0QIuAfLzlMul12vchgadfJDbu8sPoHgbFuQAWfHm71PZyslRbgoQf0beJ4xJel66vP8kRsrbPvumPD07GRA6QK0FnH3kfcrOGXD0AOxLJOe+reT9VF9YVAW0xOc6+conuNxU+WG2DR0BZ1/zbWgQUKcnAzbZgGdD+TuWtX87eMkXk3kZcgJZ1jYUAki9UnobmvbvBLnWQUnG7VmQDWQlmM+rcP8OlO9qZt8svsFhpHGVk4rCPCAzznxeyf077Zqc4Jbk5CdXsS1z/y46RxTkyLUism/Ky+Umy38/g04+TtOuFc27WbwOjav8Xns3eT3GJNkjDAjuAng2krdFYW7RMs7Ff9uqnCNKbmKeI4pVdI6wc4ZUkAWkZAOqEgdVZc8RWYnmzVmAis8RbsHy8zK3YYB8MZKdXFyLwUjjIp8LdPlAxvVbAqpgG1b1HFGSe5hy5wihL47XpqiUw9G7es4RGXHydipZ2qJ1lf+eKdHy9i95sZmXDtzMkf82uanmTTUMRdtbZWd+8alxlrePawP5+6jURc3VXIpvnHmEAa7B8jZQ8jqi5O+CWzDPEUD1XEfwHFH7riPs3eVtmHLF/HehOq4jqiPXMBjk7ZmfXnTcS/L01CvF1ZyND12B/B2NhULG7Sipi27cuxclyfbFteDsnAA7F/lGv52TfKzb2sv7gcZB/t+zkXyOMdaUKqm6zhG37oe14RyRkVn6/WWoN0m3tH0J4Fii6m9oT6D7U/IfYcuC0m944Ef5/4jPgOQo83nd5gBhvYGrB4Aj35rP82sD9H9JPnjKWu/YrwC1K3DsO+D6UfN57R8Cmo8E4k8D/3xoPs89FBj2tvz8r5dLd8Az/D35hH3mF+DyTvN5LUYB7R6QfyB2vGo+z94DGPOF/HzXW6V3ygGLAN+WwIUtQORv5vMa9gO6zpZPfLd+V5UNcP8a+fn+T+SbHiX1eAYI6QZE7wOOf28+L7AD0OcF+SRR1jYcv0I+wR35Fog/ZT6v40yg6RAg7rj8tyvJszEw5A35eVnrvfcj+QA89aMcV0mtxgNtJgA3LwC7lprPc/IF7vtYfu9fL8sHYUmDXgO8mwJHVwHnN8t/Swj5QA/qCIT2kpO6o6vkA9/UdqVQ/jHMSpRP8pKqRJUaDRDcWd7fMm8AN04Bthr5x0xlCzToCvSaJ5+si76rJAScCwog2dnJfxu1LXDoKyDxrHm8nWcBjQcAsYfl+SX5NAcGLpb3v7K24ajP5YvbE2uAawfN57W9H2g5Rv68Pe+az3MJBEb+V36+fXHpH5+hS+Ufp8gNwMVt5vOaDQc6TAPSrgLb/s98nsYZGPeN/HzPu+Y/0gY90HGG/OPz76/AlT3FPW3r8uV9WOiLL4hVNiWqOdnJ38WnuTxf7yL/KKg18gVX96fkc8SFrfJ+aqxSlXkD8LOV99GCHODnGaW3Ic8RMkueIxoPgm3SGUjn1prfRbf0OQIA/n6t/HPEuU3yOaKkJoOATo/IF9O3xmSjBSaukp/v/W/pC+7ez8vnmMu7gJM/mM8L7lLqHGFm0ur6d444M7f0hXzfBUBAO+DUOuDMz+bzGnQF2k0BUi4B218p6jxPJycEuanyTdPsJHlfyU0t0eFegalTP9gU1cAztW+3lS9AGw+Sz/9nfilRnbLo/3HfVNs5wux3YcT7PEcAyl5HADxHKHWOaP8Q1JmxkHZ/ZP67cLvrCKD4HBG1o/Q5orxcQxjk88GQN+VriIjP5POTqSPOAvlGiyTJiX7OzeLfdGMNHY9Q+YZLctQt/WnYAF1my+eRc5uA5EvF81QqoP1U+RwRE1F8jjBeo9g5yvECwA8Pln0doXECjq/mOaLkOSKnsPT7yyAJIUTFi9VeGRkZcHV1Rerl43BzZUk371DXwjvUQhSVlCcUlZQXVU8uzJH3v7Sr8t/VGLdkI+/brkHFVdgdvWFw9EaGXgsX/4ZQBXeSt1Pmjbpxh7pkSbexirex9Nmgl7/nzSj5c7OTirZVprz/uwTIfwN7d3m/NNYycAmUL3K0bvI+bmNr/rk8R8hq4TnCYOeMpNjL8HaQoGJJd/0oxbJkbZg7uY6wc5YvaNOuyo98Y3XPDPn7Gwrk/SEjTt7/c1KKj1s7F8DJq7jk3MEd0LrL+59rsLyv2TkAkOTpxnNXGdvQYBBITk6Gp6cnVCzpltXF6wiA54gKzhEGe3ckxl2Dj1Zn/rtQmXOEjVb+zNTLxc3HclOLSplz5P0hPbboGEgv/l52zvI+YRyZR+sO2BeVRLsEyA8bLQCVPF3rVty3Ba8jUFPOERkZmXANa4f09HS4uLiUXpcx2nqTdKemws3NTelwiCwmX6dHUnIqUhOuojA9DlJmPKSseNhmx0OTmwiHgiQ45CXCqeAmbAx50KntUeDgC4OjH1Qu/rD1CIKte7D8w+QaKJ9cHb1qVnuawlz5Bz49Vr64SL8un4Qzbsgn+cz44oskR2/5R8nZXz6xOvuXeBS9dvBUtvdqUoTBYEBiYiJ8fHyg4t+fagt9oXwxb7yhmF3i5mJ2UtHz5OLnpuYuLsV9RDj5FP0vPzc4eiOl0A4eweFQOfvKJWJU7+Xr9EhIz8eN9FzEZ+QhLacQ2QU65OTrkZWvQ26BnDSp1RJsVBLUKgm2ahVc7W3h7mAHD0f5f08nDYLc7aG1VSv8jSpW6ndBl1/cP4vxkZVYdNwlFTXxuilPy0mWE0k7p6J+e4qaDTp6ycec8bmjd1F/Px7sfLcOMeaaTLqZdFMdUqAz4MrNbJxPyMSF+ExcSMjE9bRcJGTk4WZWAWxUEnycNXDS2sDBzgYOdmo42NlAY6uCwSCQnZMLtY0tNIZs2OclwjYnAZrcRDgXJsEfyQi2SUEDdSp8RTIcDRnQq+ygc/KHrXswVK5BRcl4oHwn1Jica92qJzHXF8qJc/r1ooT6WonnRUl2TrJ8J9YlQL4pYIzHJaAokS7638mHF49ULibdVC/oC+WSI1PScFMuHSzxEFkJEBnxUOUVlXKWSs595JK8W6fZu9esG7J0R1KyC3A+PhPn4zNwPiET5+IzcS0lx3Q94euihb+rFu6OdnC0U8NBYwNHOzXs7WwgAdAbBHQGAb3BgEK9QHpuIVKyC5CaU4DkrALczMpHgd4AfxctQr0cEerliIZejmgV6IpWga5w0ijQyrUgW75Bnxkv1zjITACy4iEybqAg5RrsClIhZcYX3bSSipPlksm0k3fRNO+iaUXL2DlY//uQ4ph0F2HSTbXZjfRcHLqSgiPRqTgSk4qLCZmws1Ghia8zmvk6oamvM4LcHeDvKv8wejlpzKtFlXC7RENvEEjLKUB8Rh6ib+YgOjkb1xKSkZ0Ug9ybMfAy3ERblyw01WYgUJ0CT30SbLNuyFWnbB1LJL+BJRLzQLmKk5OPnCjnpZsn0MZSamNinRkvX8Q5+9+ynhIJvmuwfJeYiRLdBSbdRDLTseDpDlVuclEynlgiMU8sSk5KTCvMKe5A1Nm36Jx9y41PlwB5usaZyXkNIYTApaQsHI5OxeErKTgUnYLY1FwEutmjmZ+z/PB1RqiXIwIquJ6oymcmZuYj+mY2opOzEZ2cg4sJWThzPR0JmXlo7O2ENkFuaNfADT0beyHU0wHSnewvQsjXI5kJRc3tEor224TSCXZBprz/OhfdTHL2A5z9YHD0Raawh3NAU6hcimrEOXjKHSES3QaT7iJMuqk2ycwrxL6LN7HjXCIiLiXjRnouWga4omOoOzqFeqB1oCsC3ezv6IfwThMNg0Hg8s1snIpNw6nYdJy4loYz19MR7OGAAWH26OdfgPZu2XDIjS9dMp0ea97Wy9H7lkQ6qLgqu2ugXKKirjf9O5JCmHQTye7oWMjPKk7AM+OLmvbcKGrmEy+3mze2g7R1LNHMx79EQl6UoLv4F7WJZTVbS0jPKcSuC4nYcTYR+6JuIjtfh/YN3NA51AMdQz3QroEbXLTK1ApLyMjDqdh0nIpNw5HoVByNSYW3swa9mnihZxMv9GzsBTcHO7nNbVa8vE9lXJebmGXGyf9nxBXtfwny/mZjL98IcvIzJdOmxNrJt3gfLKOmBn8X6E4x6S7CpJtquri0XGz9Nx5/n0vEgcvJCPF0xIDmPujZ2AvtG7hXW/Wr6vxBycrX4cClZOy9mIS9UTcRk5yDrg09MLy1P4a29IOnk0Ze0Hj3Wa8rGr9RWw3fhOju8OKKSGaxY0EIuXaTWUJexvOsBLknZwevohJz/xIJeUDxTVmXALljLqrQjfRc/HHqBrafTcCR6FQ09nHCwOa+6BfujdaBbrCzqUHnPGM/LRlxyE+NRWxMFFJuRKMg9Tqc8hMRbJsGN30qJAhITr7FnYsZa1IY/zcm2BqXO65Zwd8FulNMuosw6aaaKD23EFvO3MCvx6/jaEwqOod5YEC4LwY090GIp6NFPtOSPyixqTnYciYem0/fwKnYdHRp6IERrQMwoo0/XO3ZtppqFl5cEckUPxYM+qIq7HFyKXlGXHHpuakZ0nW5SrvGpbgPj5LJeMnnGifrf4caIDOvEFvOxOPX49dx6EoKujXyxKAWvugf7oMgdwXaGZe86WIsnTYrqS56npsqV/V2KWpWZkykXQJxU+WJfYm22HhFhX/iVejUyBf3tZWvKxzsqr9GnOLHAtVaTLqLMOmmmsJgENgbdRM/Hb6GbWcTEO7njNHtAnFv2wB4O2us8PnW+UGJS8vF5tM3sPHUDZy7kYERbfwxuXMDdAxxv7O2WkTVjBdXRLJacSwIIXdqZUzASybj6bFFCd11uSmT1rXsZLzk8zrS2ZUQAoejU7HmYAy2/huPhl5OGHtPIO5rGwAfFwvXKtPlF48kYnpcK36ecV0eMs3WsUTpdGBRch1QXJPBJbBSo4jEpubgz9Px+PloLOLScnFfuwBM7twArQJdq+0r1YpjgWokJt1FmHST0jLyCvHzkVh8fyAGmXmFmNgxGGPvCURjH2erxqHED8q5+Az8cOga1h+LhY+LFvd3CsaEjsEs/SZF8eKKSFZnjgUh5J7aM8pIxk3Jehygzy8aA9nYn0hA6Q47jeM511C5BXr8duI6VkXE4HpqDiZ2lH9Xm/lV0zWFEHJP98Yk2rg9SybVWQmAyqbohkZwUf8sxkeJoUfvorp32aEJnLiWhh8OXcPGU3Fo6O2IqV1DMap9ADQ2d9fhWZ05FsjqmHQXYdJNSom+mY3l+67gl2OxaObnjOndQzG0ld9d/zDcKSV/UPIK9fjzzA2sOXAVkTcyMLp9IMa0D0QTHydobdXQ2KhYCk5Ww4srIlm9OhaMyaRZaXlRcl7yuUEnd/pZssNPU0JelFg6+1m0V2u9QSAjtxAZeYXIzNOhUG/A9bRcHI1Jxfpj1+HvqsW07qEY1S6g6lWtC3JKDMsZW/phrDXg4HlLEl0iqXYNkkcmUbBn78y8Qvx+Mg7f7ruCzDwdpvcIxYNdQu74pn69OhaoWjHpLsKkm6ztYkImPtsZhc1n4jGitT9m9AhFmyA3pcOqMT8op2LT8MPha/jj1A2k5xaapmtsVLC3U8PD0Q7eThr4uGjh46yBr4sGYV5OaOTtiAYeDrBR88eQ7k5NORaIlMZj4RbGNua3Dm+Zfq34eVYCIKnk9sclh7a8NTl39Cq3lDc1u8A0JnZsag5iU3MRm5qL62m5SM8tRFa+DgBgo5LgpLWBnVoFHxcNWgW4YnT7QHQJ8yj7RrVBL8eXXlZSXfQdcpIBtaZ0Eu0aaJ5k15Jq+AaDwN/nEvHVnsv4Ny4d93dugFm9G8K3ilXseSzQnWLSXYRJN1nLmevp+GxnFP4+l4hxHYLweJ9GCPaoOT9aNe0HxWAQyC3UI69QjzydAXmFeuQW6JGSXYDEzHwkZuYhMSMfCRl5uHIzG5dvZkMIgVBPRzTxdULbIDe0b+CO1oGusLfjOJpUeTXtWCBSCo+FO6ArkDsCK1n1umTJeXqs3EGYWgO4BqLQKQCJkheu6d1xIdcVJ9MdcTpb7hTOy8sbQe72CHJ3QLCHPfxd7eHuYAdXe1u42NvA3lZtnlznZZROos1eF5XUO/mWkVQbbwoE3/aGQG12/Goqvtx9GbsuJGJKlxA83rdR8WgqFeCxQHeKSXcRJt1kadE3s/Hu1vPYcS4Bk4vusPq72isdVim1/QdFbxCITc3BpaQsnIvPxMlraTh2NQ2p2QVo7u+CDiHu6NXEC90aeVqkZ1OqO2r7sUBUXXgsVL/U7AIcvnAN5y+eR1xMFHRp19DKKRPh9hkIVKXAQ58E+5wbkAqzATvnskvL1bYlSqpLJNb56XLnZG4lq3zf0qbaJaBGt0m3hjPX0/HfbRdw8HIyZvQIw6O9GsLV4fbVznks0J1i0l2ESTdZys2sfHyy4yJ+OHwNY+8JxDMDm1a5OpM11cUfFCEE4tLzcCwmFYeupGDPxSTcSMtDpzB39Gnqjf7hPlbvsI5qvrp4LBDdCR4L1SP6Zja2RSZgW2QCjl5NRWNvJ3Rt6IGuDT3ROcyjdGmrcUitskrL02MBQ2FRMh1YOqnWutXJUmpLOBqTiv9uO4/TsemYO6AJpnYLLXecch4LdKeYdBdh0k3VLa9Qj2/2Xsay3ZfRtaEHXhwajia+NT+xqy8/KNE3s7HnYhJ2n0/CvqibCPV0xMg2/hjZNgBhXpYZA51ql/pyLBBVhMfCnYtJzsb6Y9fx55kbiL6Zg65FY2MPau4LP9eaewO+Ptp7MQmvbYqETi/wfyNboF+4T6lleCzQnaps0s06mERVsPN8Ihb//i+ctTb4ZlpHdG3oqXRIdItQL0eEejliardQZOXrsONsAjaevIFP/o5CUz8njG4XiHH3BMHd0U7pUImIqBZJzy3E5tM38MvRWJyKTUe/cG/MHdAEfZp6w1nLoTBrql5NvLF5bi+sPXQVz/x4Avc0cMPLI1ugkbeT0qFRPcKSbqJKuJ6Wi1c3/ouIS8l4fkgzPNAlBGpV7areVd/v4qbnFmLrv/H4+WgsTlxLw7BWfnigcwN0Lq8XWKqz6vuxQGTEY6FyTsWmYeU/0fjj9A2E+zlj7D1BuLdtADx487bWSc0uwIfbL+CHw9cwq3dDzOnXGFpbNY8FumOsXl6ESTfdDZ3egG/2XcHHOy5iWCt/LBgeDq9K9oRZ0/AHpVhUYibWHryGX47FwsvJDtO6h2JCh2D2gl5P8FggkvFYKF+h3oA/z8Rj5T9XcD4+E+M7BGFK15Ba0ZyMKvZvXDr+88tpZBfosHRMa3QKdeexQHeESXcRJt10py4kZGL+upPIKdDjzTGt0TnMQ+mQ7govrkrLK9Tjj1M3sHzfFcRn5GFat1BM7RbCqud1HI8FIhmPhdKy83VYfSAG3/5zBVpbNaZ1C8X4jkFwYfXxOkenN2DFP9H4YPsFjGobgJkdPNCoQQCPBaqSyibdiu5VS5cuRadOneDs7AwfHx+MHj0a58+fN1umb9++kCTJ7DF79myFIqb6QKc34LOdUbjv033o3sgLm57qWesTbiqb1laNcR2C8Mfcnvjo/nY4HJ2C7m/9jcW//4u4tFylwyMiIivJzCvEZzuj0PPtv/HnmXi8Mbo1dj7XFzN7hjHhrqNs1Co82rshtjzdG9dSc/DA95HYcyFJ6bCojlK0I7Xdu3djzpw56NSpE3Q6HRYuXIjBgwcjMjISjo7FvQw/+uijePXVV02vHRwclAiX6oGSpdv/e7Qr2jdwVzoksgJJktCriTd6NfHGmevp+GL3JfR7bxce6NIAT/RtDG/n2tmkgIiIbi8jrxDL917Bin+uoJmfMz6e3B49G3uxr496pIGnA1bN6IRvdp7FnLXHMb5DEP4zrDmbnFG1UjTp3rJli9nrlStXwsfHB0ePHkXv3r1N0x0cHODn52ft8KgeEULg+wMxWLr5HKZ2D8GzA5tCa8uTbX3UKtAVnz1wD87eyMD7f11An3d3Ynr3UDzWuxFcHVjaQURUFxToDFhzMAYf77iIJr7O+PKhjujakB1r1leSJGFUKy8MbhuC59adwshP9uLDSe3ROshV6dCojqhRjRbS09MBAB4e5lV516xZAy8vL7Rq1QoLFixATk6OEuFRHZWaXYBHvzuKL3ZdwooZnbBgWHMm3ITm/i74ZlpHrH6kC07GpqHnO3/j6z2XUaAzKB0aERHdISEE/jh1A4M+2I21B6/i/Ylt8eOsrujWyJMJNyHE0xE/PdYNY9oHYsKX+/Hp3xdhMNTp7q/ISmpMR2oGgwH33Xcf0tLSsG/fPtP0r776CiEhIQgICMCpU6fw4osvonPnzli/fn2Z68nPz0d+fr7pdUZGBoKDg5GcnMyO1KiUA5eTMe+nk2gT5IalY1vB3aHudqBlMBiQlJQEb29vdhJyB/ZF3cTrf5xFoV7g5RHh6NfMR+mQ6A7xWCCS1bdj4WRsGpZsjERcWh6eHdgE4+4JhI267n9vqlhZx8Lp6+mY+8MJNPBwwH8ntIFnLR29hiwrIyMD7u7utaf38scffxx//vkn9u3bh6CgoHKX+/vvvzFgwABERUWhUaNGpeYvXrwYS5YsKTX93LlzcHVlFRGS6Q0Cyw/ewNqjCXiqVxDGtqn77bcMBgPS09Ph6upaLy6uLEFnENhwOglf7Y9DS39HPN07GKEeWqXDoirisUAkqy/HQkaeDl/8cx2bzybjwQ5+eKijL+xZo41KKO9YyM7X483tMTh1IwuvDWuIdoFOCkZJNVFmZiaaNm1aO5LuJ598Er/99hv27NmDsLCw2y6bnZ0NJycnbNmyBUOGDCk1nyXdVJHUnAI8++NJXEvNxWcPtEe4X/0Yc7O+lWhYUmpOAT7aHoUfj1zDIz3D8GS/RtDwAq7W4LFAJKvrx4IQAr8cu463t5xHq0AXvHJvC4R6Olb8Rqp3bncsyP3+XMXbW87j6QGN8UjPMKhUdbughiqvsiXdinakJoTAU089hV9//RW7du2qMOEGgBMnTgAA/P39y5yv0Wig0ZSu/qFSqerkDwpVzZnr6Zi9+iha+Lvgtyd71LthQCRJ4rFQDTydtHh1dCtM6hyM//xyGn+eicfSsa3RpaGn0qFRJfFYIJLV1WPhUlIWFvxyGtdSc/DGmFYY0tKvztdoo7tzu2Nheo8wtG/gjifWHMORmDR8MKktnOvZNSSVrbLnTkXPsHPmzMHq1auxdu1aODs7Iz4+HvHx8cjNlcfHvXTpEl577TUcPXoU0dHR+P333zF16lT07t0bbdq0UTJ0qoV+OnINE5ZF4IEuDfDlQx3qXcJN1a9lgCt+faI7HujSADNWHsaC9aeRnluodFhERPWW3iDw9Z7LGPnxPrQMdMH2eX0wtJU/E266a22D3bB5bi/k6/QY+/l+RN/MVjokqkUUrV5e3glwxYoVmD59Oq5du4YpU6bgzJkzyM7ORnBwMMaMGYOXX375tsX3JWVkZMDV1RWpqamsXl5PFeoNeHVjJDadisMnk+9BzyZeSoekCIPBgMTERPj4+NS5Eo2a4FpKDl7acAbnbmRg6djWGNDcV+mQqBw8Fohkde1YiErMwvM/n0RaTiHeGd8GnUI9Kn4TEap2LOj0Bry95Rx+OhKLTya3R++m3laKkmoiY65Z46uX305wcDB2795tpWioLkrPLcSTa48hKTMfvz/ZE8EeDkqHRHVUsIcDVs3ohJ+PxuKZH0/gmYFN8XDPipvMEBHR3Vt78Cpe2xSJB7s0wHODm8Hejv1skGXYqFV4aUQLhPu54LHvj+K5wfLvPWtT0O0omnQTWVJMcjZmrjyMEE9H/Px4dzhpuLuTZUmShAkdg5GYmY9TsWlKh0NEVG98tjMKS8e2xuj2gUqHQvXEuA5BaOTjhFnfHcG5+Ey8OaY17Gxqf40RsgzuGVQnHbycjNGf/YN+zXzw9dSOTLjJqtQqCQbFx4UgIqo/hBAIcrdXOgyqZ9oFu2HjUz0RGZeBmSsPIyOP/bpQ2Zh0U52z/lgspq84jBeGhuPlkS2g5rAOZGUSKm4+Q0RE1ccgyu8riMiSfF20+Gl2N6hVEiZ8EYG4tFylQ6IaiEk31RlCCCzbfQmv/PYvvp7aEZM7N1A6JKqnVJIE5txERNYjIMCcm5TipLHB8mkdcU+IO8Z8/g/+jUtXOiSqYZh0U51gMAgs2RiJb/Zewf9mda23PZRTzSBJ8gUgERFZh0HINzyJlGKjVuHNMa0wrXsoJn15AHsuJCkdEtUgbOhKtV6+To95P51EZFwGfn2iO3soJ8VJkgSDQekoiIjqDyEE2JqMlCZJEp7o2xiBbvZ47PujeHdCG4xsE6B0WFQDMOmmWi0jrxCzvjuC3AI9fp7dDZ5OGqVDIoJKAgysX05EZDVCABKYdVPNMKpdIFy0tpiz9hgycnV4oAubPNZ3rF5OtVZqdgEe/PogNDZq/G9WVybcVGOoJImVy4mIrMgg2KabapZ+4T5YNbMzlv55Fp/vimIHq/Uck26qlRIz83D/VwcQ5G6Pr6d2hIMdK21QzSFJ7L2ciMiaBNimm2qeTqEe+GFWV3y77wqW/nmO1wb1GJNuqnWup+Vi4rIItAhwwSeT28POhrsx1SySxHG6iYisyWBgSTfVTC0DXLFudnf8ceoGXtpwBgZeINRLzFaoVom+mY2JyyLQvbEX3p/QFjZq7sJU83CcbiIi6xLsvZxqsDAvR/w0uxv2XbyJhb+eZuJdDzFjoVojKjELE7+MwNBWfnhjdCuo2E0p1VAqlnQTEVmVXL1c6SiIyhfoZo8fH+uKg1dS8MIvp6DnhUK9wqSbaoVLSVmY/PUBjO8QhJdHNIfEu9lUg7H3ciIi62JHalQb+Lva44dZXXHsairmrzsJnZ7ji9YXTLqpxruclIXJX8kJ9/NDmjHhphqPuygRkXXJSTdPvlTz+bpo8cOsrjhzPR3P/sTEu75g0k012pWb2Zj89QGMuScQLzDhplpC7kiNJd1ERNYij9NNVDv4OGvxv1ldcSE+E8+tO8mq5vUAk26qsaJvZmPyVwcwul0g/jM0nAk31RoqSQJzbiIi62FHalTbeDlpsPqRLjgdm46F69m5Wl3HpJtqpGspOXjg6wO4t60//jOMCTfVLhLYppuIyJoMQjDpplrH21mDNY92wf7LN7F4478c+aQOY9JNNU5iRh6mLD+IQS18sXA4O02j2kelAnsvJyKyIgH2p0G1k7+rPdY+0hXbIxOw9M9zTLzrKCbdVKOk5RTgoeWH0DHEA6/c25IJN9VKKkmSrwCJiMgq2Hs51WbBHg5Y82hXbDh+HR9su6B0OGQBTLqpxsjK12HaisMI83LE2+NacxxuqtVYvZyIyHrYpptquzAvR6x5pAtWH7yKr/dcVjocqmZMuqlGyCvU45FVh+GitcFHk9vBRs1dk2ovFXsvJyKyGmN1XObcVNs18XXGqhmd8dGOi/j5aKzS4VA1YmZDiivUGzBnzTHo9AJfPtQBGhu10iER3RXWLicish5jHxos6aa6oHWQK756qAP+b8MZbI9MUDocqiZMuklRQggsWH8a19NysXx6JzjY2SgdEtFdk0u6lY6CiKh+MLCkm+qY7o298N+JbTH3h+M4eDlZ6XCoGjDpJkW999d5RFxKxqqZneFqb6t0OETVQiWBvY8SEVmJ8XQrgVk31R3DWvvj/0a2wCPfHUFkXIbS4dBdYtJNilm1PxprDl7Fqpmd4euiVTocomokgTk3EZF1GEu62f8q1TWTOzfA7D6NMG3FIVxLyVE6HLoLTLpJEZtP38DbW85h+bROaOzjpHQ4RNVKJbH3ciIia2ObbqqLnujbCENb+mHGysNIzy1UOhy6Q0y6yeoiLiXjuZ9O4pPJ7dEhxF3pcIiqnUpiSTcRkbWwTTfVZZIk4ZV7WyDEwwGzvz+KAp1B6ZDoDjDpJquKSszCY98fwSv3tsCA5r5Kh0NkERJLuomIrMbYcaXErJvqKBu1Cp880B5Z+Tr855dT7DemFmLSTVaTnJWPmSsP46FuIbi/cwOlwyGyGJZ0ExFZD8fppvrAwc4Gy6d1xMErKfhg+0Wlw6EqYtJNVpFXqMdj3x9F60BXPDeomdLhEFmUPE43s24iImvgON1UX/i4aLFiRies/OcKfjpyTelwqAqYdJPFCSHw4i+noDMIvD+xLVTsXpTqOInjdBMRWY1g7+VUjzT1dcayKR3wym//Yt/Fm0qHQ5XEpJss7sPtF3EkOhVfT+0Ira1a6XCILI69lxMRWQ/H6ab6pntjL7w+uhUeX3MU5+MzlQ6HKoFJN1nUhuPX8e0/V7BiRid4O2uUDofIKlRy/XIiIrIC9l5O9dG4DkGY2SMMD686jOSsfKXDoQow6SaLORydggXrT+PTB+5BU19npcMhshoJLOkmIrIWtumm+urpAU3QJsgVj685xqHEajgm3WQRV5NzMOu7I3hpRHP0aeqtdDhEVsU23URE1mPsuJI5N9U3KpWE9ya0RVaeDos3/suhxGowJt1U7bLzdXj0uyMY3T4QU7qGKB0OkdWx93IiIusRLOmmeszBzgZfT+uIv/6Nx+oDMUqHQ+Vg0k3VSgiB5346CU8nO7w0vLnS4RApQiVJMLCWFxGRVRjYeznVc4Fu9lg2pQPe3HwO+6PYo3lNxKSbqtWnf0fhTFw6Pn3gHtiouXtR/cQLPyIi6zH1Xs6SbqrHOoZ6YMl9LfHE2mOISc5WOhy6BbMiqjbbIxOwbPclfPVQR3g42ikdDpFiJA4ZRkRkNQYh2J6bCMDETsEY2z4Ij6w6gsy8QqXDoRKYdFO1iErMwrM/nsDb49ugRYCL0uEQKUruSI1JNxGRNQjB9txERguHh8PPVYtnfjgBA3t1rTGYdNNdS88txKzvjuChbiEY2SZA6XCIFKeSJDDnJiKyDiHkoRqJCLBRq/Dp5HsQlZSFT/6OUjocKqJo0r106VJ06tQJzs7O8PHxwejRo3H+/HmzZfLy8jBnzhx4enrCyckJ48aNQ0JCgkIR0630BoFnfjiOEE8HPDe4mdLhENUI8jjdSkdBRFQ/GIRgSTdRCa4Otlg2pQO+3HMJO88nKh0OQeGke/fu3ZgzZw4OHDiAbdu2obCwEIMHD0Z2dnHj/2effRYbN27EunXrsHv3bsTFxWHs2LEKRk0lfbDtAmKSc/Dh/e2hZu9RRACMJd3MuomIrEEALOomukVzfxe8MaYVnvnhBK6l5CgdTr1no+SHb9myxez1ypUr4ePjg6NHj6J3795IT0/H8uXLsXbtWvTv3x8AsGLFCjRv3hwHDhxA165dlQibimyLTMDK/dHYMKc7XO1tlQ6HqMaQx+kmIiJrkEu6lY6CqOYZ0z4IJ66mYfbqo/jl8e7Q2qqVDqneqlFtutPT0wEAHh4eAICjR4+isLAQAwcONC0THh6OBg0aICIiQpEYSXY1OQfP/XQCS8e2RmMfZ6XDIapR2Hs5EZH1CFYvJyrXSyNaQGOjwssbzrAWnoIULekuyWAw4JlnnkGPHj3QqlUrAEB8fDzs7Ozg5uZmtqyvry/i4+PLXE9+fj7y8/NNrzMyMkzrNxgMlgm+nskv1OOJNUcxpn0gRrT243atJQwGA4QQ/HtZgxAwGLitayoeC0SyunIs6PUGuS+NWv49SDl15Vgoi40K+HRye9z76T9YezAGkzs3UDqkOqWy+0yNSbrnzJmDM2fOYN++fXe1nqVLl2LJkiWlpiclJaGgoOCu1k2ypdtjIAx6PNLRA4mJ7JyhtjAYDEhPT5dLBFQ1qpJLnZOamguDQfD4qKF4LBDJ6sqxcDM5FwDPuXTn6sqxUB4VgFeHhuK5387CT6tHSz9HpUOqMzIzMyu1XI1Iup988kls2rQJe/bsQVBQkGm6n58fCgoKkJaWZlbanZCQAD8/vzLXtWDBAsybN8/0OiMjA8HBwfD29i5VYk5V98uxWOy5nI7fn+yBQDd7pcOhKjAYDJAkCd7e3nXyB6UmSROZgAT4+PgoHQqVgccCkayuHAvJ+gyoVSqec+mO1ZVj4XaG+fjgeo4KL/8Zjd/ndIenk0bpkOoErVZbqeUUTbqFEHjqqafw66+/YteuXQgLCzOb36FDB9ja2mLHjh0YN24cAOD8+fO4evUqunXrVuY6NRoNNJrSO5FKpaqzB5G1nIvPwCu/R2LZlA4I9uAdstpIkiQeC1Zgo1ZBCHA712A8FohkdeFYkCSV6XsQ3am6cCxU5NHeDXEiNg3z1p3CqhmdoWIPhHetsvuLonvVnDlzsHr1aqxduxbOzs6Ij49HfHw8cnNzAQCurq54+OGHMW/ePOzcuRNHjx7FjBkz0K1bN/ZcbmWZeYV4fPUxzOrdEL2beisdDlENJ3GcbiIiK2Hv5USVI0kS3hrXBjHJOfhi9yWlw6lXFE26v/jiC6Snp6Nv377w9/c3PX788UfTMh988AFGjhyJcePGoXfv3vDz88P69esVjLr+EULghZ9PIcjdHk/1b6J0OEQ1noq9lxMRWY0QYO/lRJXkorXFZw/cg0//jsLh6BSlw6k3FK9eXhGtVovPPvsMn332mRUiorKs3B+NE9fS8MfcXlDzVjJRhVSSxHG6iYisRECAOTdR5bUOcsWLQ5vhqbXHsfnpXvBwtFM6pDqv7jZaoGpx5no63tlyHp9Mbs8DkqiSJKlyNxWJiOjuGYRcbZaIKm9a91C0C3bD/HUnYWCbOItj0k3lysrX4an/Hcecfo3QMdRD6XCIag2VxDbdRETWItimm6jKJEnC2+Pb4EJCJr7Zd1npcOo8Jt1UrkUbzsDfVYvH+zZWOhSiWoUl3URE1mMQgARm3URV5Wpvi08fuAcfbLuIY1dTlQ6nTmPSTWX65Wgsdl9IwgeT2rEdN1EVSSzpJiKyGpZ0E925dsFueG5wUzy19jjScgqUDqfOYtJNpVxOysKi387gvYlt4etSuQHfiaiY8eKPpd1ERJYnwDbdRHfj4Z5haO7vjOd/PsVrFwth0k1m8nV6PLn2OB7o0gD9mvkoHQ5RrWQcuoa/W0RElmcwsPdyorshSRLem9AWZ66nY/XBq0qHUycx6SYzSzefg41awvNDwpUOhajWMl77caxuIiLLM3CcbqK75uZgh/9ObIelm8/iYkKm0uHUOUy6yWRbZAJ+ORqLTya3h50Ndw2iO2Ws5sh23URElsdxuomqR7dGnpjWPRRzfziBfJ1e6XDqFGZWBABIyMjDCz+fxOtjWiHE01HpcIhqNePFnwCzbiIiSxMs6SaqNs8ObApbtYR3tpxXOpQ6hUk3wWAQmL/uJPo188GodoFKh0NU67FNNxGR9RgES7qJqoudjQofTmqHHw5dxZ4LSUqHU2cw6SasiojG5aRsLB7VUulQiOqE4t7LlY2DiKg+EAIcpZuoGjX0dsKie1vguXUnkZyVr3Q4dQKT7nruQkIm3tlyHh9MagcXra3S4RDVCRKMbbqZdRMRWZpBCFYvJ6pmEzsGo2OIO178hcOIVQcm3fVYvk6Pp384gRk9QtE5zEPpcIjqDKnozMqkm4jI8timm6j6SZKEpWNb48z1DA4jVg2YdNdj//3rAtQq4JmBTZUOhahOMbXpVjgOIqL6gL2XE1mGm4Md/jupLYcRqwZMuuup/Zdu4vsDMfhwEocHI6puxms/YVA0DCKiesFgKB6qkYiqV/dGXpjaLRTP/nQChXpe2NwpZlv1UHpOIZ776SQWDAtHYx8npcMhqnNUEtt0ExFZi0BxB5ZEVP2eHdQEOr3AJ39HKR1KrWVTlYXT0tLw66+/Yu/evYiJiUFOTg68vb3Rvn17DBkyBN27d7dUnFRNhBB4acNphPs5Y0rXEKXDIaqTisfpJiIiS+OQYUSWpbFR478T22HsF/+gf7gP2gW7KR1SrVOpku64uDg88sgj8Pf3x+uvv47c3Fy0a9cOAwYMQFBQEHbu3IlBgwahRYsW+PHHHy0dM92F30/GIeJSMt4Z35ZVsYgsxHhosaSbiMjyBHsvJ7K4FgEueKp/E8z76QTyCvVKh1PrVKqku3379pg2bRqOHj2KFi1alLlMbm4uNmzYgA8//BDXrl3D/PnzqzVQunsJGXlY9Nu/eHtcG3g7a5QOh6jOYvVyIiLr4TjdRNbxWO+G2HE2AW9vOYdX7m2pdDi1SqWS7sjISHh6et52GXt7e0yePBmTJ09GcnJytQRH1UcIgf/8cgr9w30wtJWf0uEQ1Wmmiz/m3EREFmcQ7EiNyBps1Cq8P7EdRny8F4Oa+6J7Yy+lQ6o1KlW93NPTE/n5+ZVeaUUJOlnfuiOxiLyRgcW8K0VkccUl3QoHQkRUDxiEYEdqRFYS5uWIBcPCMX/dSWTkFSodTq1R6d7LXV1d0a9fP7z66qvYu3cvCgu5kWuL2NQcvLYpEm+NawNXB1ulwyGq84o7UmPWTURkaQIs6SaypildQ9DIxwmvboxUOpRao9JJ97JlyxASEoJvv/0Wffr0gZubGwYNGoSlS5fiwIED0OvZoL4mMhgEXvzlFEa08Ue/Zj5Kh0NUL0gs6SYishrBkm4iq5IkCe+Mb4O//o3H1n/jlQ6nVqh00j19+nSsXLkS0dHRiIqKwieffIKAgAAsW7YMPXr0gLu7O0aMGGHJWOkOrDkYg+ibOXhpRHOlQyGqV1SSfNOLiIgsSx4yjFk3kTX5u9rj1VGtsHD9aSRnVb4Zcn1V6aS7pIYNG2LmzJlYtWoVdu3ahQULFkCSJGzZsqW646O7EJOcjbf+PId3x7eBs5bVyomsicPXEBFZB3svJ1LGqHYB6BjqjsWsZl6hKifdV69exapVqzBjxgyEhYWhTZs2OHjwIObPn4+dO3daIka6A3qDwPx1JzG+QxB7FiRSgCRxyDAiImswCN7oJFKCJEl4bXQr7L2YhC1nWM38dio1ZBgAzJw5E7t27UJKSgp69OiBXr16YdasWejUqRNsbCq9GrKSFf9cQVJmPl6cGa50KET1kiRJbNNNRGQFBiGguqO6m0R0t3yctVh8b0u8vOEMuoR5wN3RTumQaqRKZ8srV65EgwYN8NJLL2HAgAFo374928/UUJeTsvD+Xxfw3cOd4WDHGyJESlBJcuc+RERkYQKQWMGcSDGj2gVg06k4LNn4Lz68v73S4dRIlb4vePbsWfznP//B0aNHMXz4cHh4eODee+/Fe++9hyNHjsBgMFgyTqokY2/lkzoFo1Ooh9LhENVbEljSTURkDXJHakpHQVR/SZKEN8a0xt/nErEtMkHpcGqkSifdzZo1w+zZs/HDDz8gPj4e//zzD4YPH45Dhw5h5MiR8PDwwMiRIy0ZK1XC6oMxiM/IwwtDmykdClG9xpJuIiLrEGCbbiKl+bposejelnjp19NIzylUOpwa545bwLRo0QJjx47F2LFjMWrUKAgh8Oeff1ZnbFRF11Jy8Paf5/DW2DasVk6kMJUkgSk3EZHlsaSbqGYYd08gWga44NVN7M38VlXKzBITE7Fr1y7s3LkTu3btwoULF2BnZ4fOnTvj2WefRb9+/SwVJ1VACIGFv57Gfe0C0IO9lRMpj72XExFZBXsvJ6oZJEnCm2NbY/AHe/D3OT/0D/dVOqQao9JJd/PmzXHhwgXY2NigU6dOGD9+PPr27YsePXpAq9VaMkaqhHVHYnExIQufPXiP0qEQEYpKuplzExFZnhDsRo2ohvB3tcf/jWiBhevP4K95HnDR2iodUo1Q6aR79OjR6NevH3r27AkHBwdLxkRVlJCRh9f+iMSHk9pxxyaqIThONxGRdRgEOKIOUQ0yoWMQNp2+gTf/OIu3xrVROpwaodJtupcuXYrBgwcz4a5hhBB46dfTGBDugwHNWYWDqKZgSTcRkXUYhICKOTdRjSFJEt4Y3QobT8bhwOVkpcOpESqVdL/11lvIzc2t1AoPHjyIP/74466Cosr7/WQcjl9Nw6J7WyodChGVIPdernQURER1nxBgR2pENUywhwPmDW6GBetPI69Qr3Q4iqtU0h0ZGYkGDRrgiSeewJ9//omkpCTTPJ1Oh1OnTuHzzz9H9+7dMWnSJDg7O1ssYCqWnJWPJRsj8eqoVvBwtFM6HCIyI7F6ORGRFcgl3cy6iWqa6d1D4aK1wSd/X1Q6FMVVKun+7rvvsH37dhQWFuKBBx6An58f7Ozs4OzsDI1Gg/bt2+Pbb7/F1KlTce7cOfTu3dvScROA1zZFomOIO4a39lM6FCK6hYptuomIrEKw93KiGkmtkrB0bBss33cFZ29kKB2OoirdkVrbtm3x9ddf48svv8SpU6cQExOD3NxceHl5oV27dvDy4jBV1rT7QhJ2nE3Etnl92HkIUQ3EcbqJiKxDQIDdlxPVTC0CXDCzRxj+88sprH+iB9T1tAOGKo3TDQAqlQrt2rVDu3btLBAOVUZugR4vbziNF4Y2g58rh2sjqokkSe7okIiILIvjdBPVbHMHNMHm0zewan80ZvYMUzocRVS693KqOT7ccQFeTho82CVE6VCIqBwqSYKBOTcRkcWx93Kimk1rq8abY1vj/b/OIzY1R+lwFKFo0r1nzx7ce++9CAgIgCRJ2LBhg9n86dOnQ5Iks8fQoUOVCbaGiIzLwKr90Vg6tjVU/IUhqrEk9l5ORGQVgrXLiWq87o28MLJNAF7ecKZe1gRUNOnOzs5G27Zt8dlnn5W7zNChQ3Hjxg3T43//+58VI6xZ9AaBBetPYWaPMIT7uSgdDhHdhsSO1IiIrEKw93KiWmHh8OY4cz0Dv5+MUzoUq6tym+7qNGzYMAwbNuy2y2g0Gvj5sXduAPg+IhppuYWYO6CJ0qEQUQVUksSSbiIiKzAIsKibqBZwdbDFkvtaYtFvZ9C7iTfc69GQx1Uq6S4sLISNjQ3OnDljqXhK2bVrF3x8fNCsWTM8/vjjSE5Ottpn1yRxabl4768LeHNMa2ht1UqHQ0QVkMCO1IiIrIFDhhHVHsNb+6F9Aze8/sdZpUOxqiqVdNva2qJBgwbQ6/WWisfM0KFDMXbsWISFheHSpUtYuHAhhg0bhoiICKjVZSee+fn5yM/PN73OyJDHhDMYDDAYDFaJu7oJIbDotzMY3MIX3Rp61NrvQcoyGAwQQnD/sRJJkqCrxeeduozHApGsrhwLeoMBElDrvwcpp64cC7XF4ntbYOhHezHqgj96Nq7dw05Xdp+pcvXyl156CQsXLsT3338PDw+PKgdWFffff7/peevWrdGmTRs0atQIu3btwoABA8p8z9KlS7FkyZJS05OSklBQUGCxWC1pZ1QqDl9Jxo/TWiExMVHpcKiWMhgMSE9Pl9u+qThwgaUZ9HqkpqYhMZE/4DUNjwUiWV05FrKzs5GXV8BrJLpjdeVYqC1sADzWLQALfzmF1Q+1gNam9m7zzMzMSi1X5aT7008/RVRUFAICAhASEgJHR0ez+ceOHavqKiutYcOG8PLyQlRUVLlJ94IFCzBv3jzT64yMDAQHB8Pb2xtubm4Wi81SMvIK8eGeM/i/kS3RNCRA6XCoFjMYDJAkCd7e3vxBsQJbm3NwdXWFj4+30qHQLXgsEMnqyrFg75AGR4MNfHx8lA6Faqm6cizUJrMHeuOvixn4JTITzw6svf1VabXaSi1X5aR79OjRVX1LtYmNjUVycjL8/f3LXUaj0UCj0ZSarlKpauVB9P5fF9HYxwnjOgRBYnslukuSJNXaY6G2UakkiKLtTTUPjwUiWV04FgTkc25t/g6kvLpwLNQmKhXw5pjWmPDlfoxpH4iG3k5Kh3RHKru/VDnpfuWVV6ocTHmysrIQFRVlen3lyhWcOHECHh4e8PDwwJIlSzBu3Dj4+fnh0qVLeOGFF9C4cWMMGTKk2mKoyY7GpOLno7H48+leTLiJahmVJMlXgkREZFEcp5uodmod5Ir7OzXA//12Bqsf7lKn8507upWTlpaGb775BgsWLEBKSgoAuVr59evXq7SeI0eOoH379mjfvj0AYN68eWjfvj0WLVoEtVqNU6dO4b777kPTpk3x8MMPo0OHDti7d2+ZJdl1jU5vwEu/nsacfo0Q6uVY8RuIqMbhON1ERJZnYO/lRLXWvMFNcSEhq86P3V3lku5Tp05h4MCBcHV1RXR0NB599FF4eHhg/fr1uHr1Kr777rtKr6tv3763HVJn69atVQ2vzlgVEYNCvQGzejdSOhQiugMqSZLHjiUiIosSQkDFnJuoVnLR2mLRyBZYsjESfZv5wNXeVumQLKLKJd3z5s3D9OnTcfHiRbOG48OHD8eePXuqNbj6Kj49Dx9su4DXRrWCXS3uzY+oPlOpOE43EZE1CKBOV0slqutGtvFHc39nvLf1vNKhWEyVM7rDhw/jscceKzU9MDAQ8fHx1RJUfff6H5EY0NwH3Wv5uHVE9ZkElnQTEVmDwSDAnJuo9pIkCa+OaoV1R6/h5LU0pcOxiCon3RqNBhkZGaWmX7hwAd7eHBrnbu29mITd55Pw0vDmSodCRHdBrurIrJuIyNLYppuo9gvzcsTsPo3w0obT0NfBUosqJ9333XcfXn31VRQWFgKQ70xcvXoVL774IsaNG1ftAdYn+To9Fv32L54b3BQ+LpUb842IaiaJbbqJiKxCQLD3cqI6YHafRsjO1+P7iGilQ6l2VU6633//fWRlZcHHxwe5ubno06cPGjduDGdnZ7zxxhuWiLHe+Gr3ZTjYqTGla4jSoRDRXZIk9l5ORGQNQsjjdBNR7aa1VeO1Ua3w3l8XkJCRp3Q41arKvZe7urpi27Zt2LdvH06dOoWsrCzcc889GDhwoCXiqzeuJufg812XsPbRLrBRs/M0otpOJUlgzk1EZHkGwZJuorqiZxMv9A/3waubIvHZA/coHU61qXLSnZeXB61Wi549e6Jnz56WiKneEULgld/PYHT7QLRv4K50OERUDSSwpJuIyBqEYO/lRHXJyyObY8B7u7H7QhL6NK0bfYZVuUjVzc0NvXv3xv/93//h77//Rm5uriXiqlf+ikzAydh0vDCkmdKhEFE1YUk3EZF1GDhON1Gd4uOsxfNDm2HRb2eQV6hXOpxqUeWS7u3bt2PPnj3YtWsXPvjgA+h0OnTs2BF9+vRB3759MWjQIEvEedeupmQjXV882LqDnQ28nTUo0BlwI730jYMQT0cA8pjZ+TrzP7ankwZOGhtk5BUiNbvAbJ7WVg1fFy0MBoFrqTml1hvoZg8btQqJGXnILdQjt1CP//v1NB7tFWZqj5Sdr8PNrHyz99mqVQhws5e/S3IOxC29Ivu72sPORoWbWfnIzteZzXPR2sLd0Q55hfpS7SNUkoRgDwcAwLWUnFIlc74uWmht1UjNLkBGXqHZPEeNDbycyt6GEiQ08JTXG5eWi0K9wWy+l5MGjhobpOcWIi3HfBva26rh46KFTm/A9bTSf5tgdweoVBISMvJKHYjujnZw0doiK1+H5Fu2ocZGDT9XuYO6mOTsUus1bsOkzHzkFJhvQ1d7W7g52CG3QI/ETPNtaKNWIbDob3O7bZiSXYDMW7ahk8YGnk4a5Ov0iE83X29F29DbWQMHOxuk5xQiLfeWbWinho+z+TY0GAxITstHrjoboV5OkCSpzP3bw9EOzlpbZOYVIuWW/du4DYUQuJpym/07Mw+5BebrdbO3g6uDLXIKdEjKrNr+7eeqhcZGjeSsfGTdsn87a23hUYn9+3paLnS3bEMfZy3s7dRIyylAeq753+ZuzxGSBOQU6Erta1U9R5Tk5mAHV3tbniPu8hzhZKdGdoEeMcnZUKmK7z3X93NESQ08HHiOgGXPEdV1HVFSVc8RJX8XAt0da+05IiOvEJJUfNzyOkLGc0Sxis4RbvY2yNcZSv0u1PdzREnWvo7o2dgLqyNi8M3ey5jVu1GNuo4oeY7IzCx9LihLlZNuY7XyhQsXQqfT4fDhw/jyyy/xzjvv4K233oJeXzPvRryz9Tw09s6m110beuLR3g2RllOAVzdGllp++fRO8v/7LuNykvnGfLhXGLo38sKR6BSsOXDVbF7LABfMG9wM+TpDmev94P52cFGr8MNheRy6qMQs5OsFDkenoqG3E4a09EPkjQws23XJ7H3BHg5YfF9LAPI43rd2pf/q6FYIdLPHxpNx2Hfxptm8Ya39Mb5DEKKTs/HuFvNB590c7PD+xLYAgA+3Xyy1Uz4/tBnC/Vyw41wi/jx9w2xezyZemNEjDElZ+aW+q1ol4aupHQEAX+25jGu3nFhn922ETqEeOHA5GT8dvmY2r22wG+YOaIKcQn2Z2/DTB+6BvZ0aaw7E4N848+HrHuzaAP3DfXEqNg3L914xm9fQ2xEvjWghb68y1rt0bGv4uGix4fh1HLicbDbvvnYBGNUuEJeSsvDBtgtm83xcNFg6tg0A4L2/ziMrz/xEtGB4czT2ccJf/8ZjW2SC2by+4T54qGsI4tPzSsWktVXjswfltiyf74rCjTTzk9iT/RujfQN37Iu6ifXHYs3mdQh1xxN9GyMjT2dar4BAfn4BNJoEfPlQR9iqJayKiMaF+Eyz907rHoreTb1x/GoaVu2PNpvX1M8ZLw4Nh84gytyG705oCw9HO/x8NBZHo1PN5o29Jwgj2vjjfHwmPv07ymyev5sWr49uDQB4e8u5Uie4Rfe2QIinIzaficeuc4lm8wa18MX9nRsgNjUXSzefNZvnpLXBR/e3BwB8+vdFJGaY/8A8O6gpWgW6YveFJPx+Is5s3t2eIyQJuJSUjR1nzeOt6jmipImdgnmOwN2fI/o29ca5hBz88u91SCVagtb3c0RJyx7qwHMELHuOqK7riJKqeo4o+bvw2ujWtfYccTQmFXZqlekY4HWEjOeIYhWdIyZ2DMKNjAJ8deis2e9CfT9HlKTUdcTnuy6hWyMvfL7T/G9eU3KNgtysUu8viyRE1StAXrhwAbt27TI98vPz0bt3b/Tt2xdPP/10VVdnURkZGXB1dcXJS7FwdXUzTa8Jd5/O3sjAo98dwRdTOqCxj1OtuvsE1NxSLN6hvk1Jd3IKPD09WNJdxJJ3qGd9dwRDW/mVaotUX+5QAzX3HOFkp8aV2BtQ2buwpLuelGLVxHNETSjFKvm7UJtLuhf+chqeznZ4uGcYAF5HGPEcUawyJd3X4uJh0DizpBs16zpi6eZzyMorxMIRzc3m1ZRcIzMzA63DApCeng4XF5dS6zLFW9WkOzAwELm5uejbty/69u2LPn36oE2bNjW2Awtj0p2amgo3NzelwzERQuCBrw+iRYAL/m9kC6XDoXrAYDAgMTERPj4+Zj8oZBlTvjmI+9oFYGLHYKVDoVvwWCCS1ZVj4YWfT8Lf1R7PDmqqdChUS9WVY6EuSsrMR//3duHzKfegV5Oa16maMdesKOmu8l7l7e2NnJwcxMfHIz4+HgkJCexM7Q78cfoGopKy8MzAJkqHQkQWIEnyzTUiIrIsg5BL04io7vF21uDZQU3xyu//okBnqPgNNVSVk+4TJ04gPj4e//nPf5Cfn4+FCxfCy8sL3bt3x0svvWSJGOucnAId3vjjLP4zNBzOWtuK30BEtY7E3suJiKyCvZcT1W1Tu4XAVqXCin+uVLxwDXVH9Sfc3Nxw3333YeHChViwYAHGjx+Pw4cP46233qru+Oqkz3degr+rFmPaByodChFZiEqSS1+IiMjChFy7iIjqJhu1Cq+OaomPd1ws1XdBbVHlpHv9+vWYO3cu2rRpA19fXzz++OPIysrC+++/j2PHjlkixjol+mY2vtl3Ga+OamUaIoyI6h4JKNVZCBERVT+DEDW2byEiqh5dGnpiYAtfvHnLKBS1RZWHDJs9ezZ69+6NWbNmoU+fPmjdurUl4qqzXtsUibH3BKFVoKvSoRCRBakkCUy5iYgsj226ieqHhcObY8D7uxFxKRndGnkqHU6VVDnpTkxMrHghKtPOc4k4EpOKXfP7Kh0KEVkYO1IjIrIOAVYvJ6oPfF20mDugMRb//i82ze0JW3Xt6Wm+ykk3AOj1emzYsAFnz8rF+y1atMCoUaOgVqurNbi6JF+nx5KN/2L+4KZwd7RTOhwisjBJkmBgo24iIotjR2pE9cf07mH48fA1fBcRg4d7hikdTqVVOemOiorC8OHDcf36dTRr1gwAsHTpUgQHB+OPP/5Ao0aNqj3IuuCbvVdgb2eDB7qEKB0KEVmBSgKrlxMRWYEQAhKYdRPVB3Y2Kiy5rxUeX30U97b1h4+zVumQKqXKZfJz585Fo0aNcO3aNRw7dgzHjh3D1atXERYWhrlz51oixlrvRnouPtsZhVdHtYSat2KJ6gUJEnsvJyKyAsHey4nqlZ5NvNCrqRfe+vOc0qFUWpWT7t27d+Odd96Bh4eHaZqnpyfeeust7N69u1qDqyve3HwOg1v4olOoR8ULE1GdoFKxTTcRkTXI1cuZdRPVJy+PaIEtZ+Jx7Gqq0qFUSpWTbo1Gg8zMzFLTs7KyYGfHtsq3iriUjL/PJmDB8OZKh0JEViRJEphzExFZHku6ieqfADd7PNa7EZb8/m+t6EOnykn3yJEjMWvWLBw8eBBCCAghcODAAcyePRv33XefJWKstXR6A5Zs/BdPDWgCX5fa0d6AiKoHx+kmIrIODhlGVD/N6t0QN7MKsP74daVDqVCVk+6PP/4YjRo1Qrdu3aDVaqHVatGjRw80btwYH330kSVirLVWH4hBgc6AmT1qT896RFQ9VBLbdBMRWYNg7+VE9ZK9nRoLhofj7S3nkJWvUzqc26py7+Vubm747bffEBUVZRoyrHnz5mjcuHG1B1ebpWQX4L/bLuDjye1hZ1N7xpAjouoh917OrJuIyNIEwPrlRPXUiNb++C4iBp/tjMKLQ8OVDqdclU66DQYD3n33Xfz+++8oKCjAgAED8Morr8De3t6S8dVaH2y7gA4h7ujbzEfpUIhIAWzTTURkHRynm6j+kiQJr9zbAuO+2I9JHYMR6uWodEhlqnQR7BtvvIGFCxfCyckJgYGB+OijjzBnzhxLxlZrnY/PxE9HruHlkS2UDoWIFCJJ7L2ciMga2KabqH5rGeCKMe2D8Mbms0qHUq5KJ93fffcdPv/8c2zduhUbNmzAxo0bsWbNGhgMBkvGV+sIIfD6H5F4sEsIGnk7KR0OESmEbbqJiKxDCAGm3ET12/zBTXHgcjL2XkxSOpQyVTrpvnr1KoYPH256PXDgQEiShLi4OIsEVlvtOJuIM9fT8fSAJkqHQkQKYu/lRETWIVjSTVTveTpp8PSAJnh1YyR0+ppXKFzppFun00GrNR/2ytbWFoWFhdUeVG1VoDPgjc1nMW9wM7g62CodDhEpSMU23UREVmEQgv2oERGmdguFXgisPhCjdCilVLojNSEEpk+fDo1GY5qWl5eH2bNnw9GxuMH6+vXrqzfCWuS7iGjYqVWY3ClY6VCISGFs001EZB1CyJ0pEVH9ZmejwqKRLTD3f8dxX7tAeDjaKR2SSaWT7mnTppWaNmXKlGoNpjZLzsrHRzsu4osHO8BGzSHCiOo7iW26iYisgr2XE5FR32Y+6BjqgQ+2XcBro1spHY5JpZPuFStWWDKOWu/9bRfQJcwTPZt4KR0KEdUAHKebiMg65JJupaMgopri5RHNMeyjvXiwawOE+7koHQ6AKrTppvKdvZGBX47G4qURzZUOhYhqCEkCS7qJiKxAQLAjNSIyaejthKndQrDk98ga09SPSfddEkLgtU2RmNY9FGE1dDB2IrI+eciwmnGiJyKqywxs001Et3hqQBNcSMjEtsgEpUMBwKT7rv0VmYDz8Zl4sn9jpUMhohpEJUlg7XIiIsvjON1EdCsXrS2eHdQUb24+iwKd8kOIMem+C/k6Pd7cfBbPDW4GFy2HCCMicyzpJiKyPAPH6SaiMtzfKRh2Nip8XwOGEGPSfRdW/hMNBzsbTOIQYUR0C47TTURkHYK9lxNRGWzUKrw0ogU+3nERaTkFisbCpPsOJWXm49O/o7BoZAuoeaYnoluo2JEaEZFVCLD3ciIqW5+m3mjfwA0fbr+oaBxMuu/Q+3+dR4/GXujWyFPpUIioBpJ7L2fWTURkaQYh2JEaEZXrpeHN8b9DV3EpKUuxGBRNuvfs2YN7770XAQEBkCQJGzZsMJsvhMCiRYvg7+8Pe3t7DBw4EBcvKnuXAgD+jUvHhhPXsXA4hwgjorKxfSERkXUYDDznElH5mvg6Y0LHICzdfE6xGBRNurOzs9G2bVt89tlnZc5/55138PHHH2PZsmU4ePAgHB0dMWTIEOTl5Vk50mIlhwhr4OmgWBxEVMOxpJuIyCoEwN7Liei2nh3YFAcvJ2N/1E1FPl/RpHvYsGF4/fXXMWbMmFLzhBD48MMP8fLLL2PUqFFo06YNvvvuO8TFxZUqEbemHWcTcSEhC3P6cYgwIiofx+kmIrIOIQRUbDBJRLfh6aTBk/0b47U/zkKvQKc7NfYUdeXKFcTHx2PgwIGmaa6urujSpQsiIiIUialQb8Cbf57FswObcIgwIrotlQT2Xk5EZAVs001ElTG9Ryiy8gvxy9FYq3+2jdU/sZLi4+MBAL6+vmbTfX19TfPKkp+fj/z8fNPrjIwMAIDBYIDBcHcDo685EAMJwKSOQXe9LiJrMxgMEEJw37UWARgM3N41EY8FIlldORaEkP+p7d+DlFNXjgW6PVuVhBeHNMOSTWcxtJUvnDR3nwpXdp+psUn3nVq6dCmWLFlSanpSUhIKCu58fLasfD0+3H4BLw8KQUqyMm0BiO6GwWBAenp6UTW8GlvJpc7Izc1Bdm4hEhMTlQ6FbsFjgUhWV46FgkIdMtLTkZjI6kV0Z+rKsUAV6+CjQoCzLT748zQe6x541+vLzMys1HI1Nun28/MDACQkJMDf3980PSEhAe3atSv3fQsWLMC8efNMrzMyMhAcHAxvb2+4ubndcTzfbjmH5v4uGNOlCaswUa1kMBggSRK8vb35g2IFTo7pyNLnwcfHR+lQ6BY8FohkdeVYUKnPwc3NDT4+XkqHQrVUXTkWqHIWj9bgga8P4eG+4Qhws7+rdWm12kotV2OT7rCwMPj5+WHHjh2mJDsjIwMHDx7E448/Xu77NBoNNBpNqekqleqOD6JrKTn4LiIGP8/uDrVafUfrIKoJJEm6q2OBKk+lkiAEuK1rKB4LRLK6cizYqGv/dyBl1ZVjgSrWvoEHhrbyw3t/XcCH97e/q3VVdn9RdK/KysrCiRMncOLECQBy52knTpzA1atXIUkSnnnmGbz++uv4/fffcfr0aUydOhUBAQEYPXq0VeN8Z+t5jGgdgFaBrlb9XCKqvVSSBFZ0JCKyPLkjNaWjIKLa5PkhzbD13wScuJZmlc9TtKT7yJEj6Nevn+m1sVr4tGnTsHLlSrzwwgvIzs7GrFmzkJaWhp49e2LLli2VLsavDsevpmJ7ZAJ2zu9rtc8kotpPxXG6iYisQghA4kjdRFQFAW72eLRXGF7fFIl1s7tZvPmwokl33759IW5zUSpJEl599VW8+uqrVoyqmBACb/xxFo/2CoOfq/USfSKq/SRJ4pBhRERWYBACKubcRFRFj/VphB8OX8Pm0/EY0ca/4jfcBTZauI0tZ+IRnZyDWX0aKR0KEdUykoTb3lQkIqLqIfefwaybiKrGUWOD+UOa4a0tZ5Gv01v0s5h0l6NAZ8BbW87hucFNq2UMNyKqX1SSBANzbiIiixNCsHI5Ed2RcfcEwdHOBt9HxFj0c5hNluO7iGhobdSY2DFY6VCIqBaSwDbdVaXX61FYWGjxzzEYDCgsLEReXh57qaUazdbWlqOmVIJBgMO5EtEdUaskLBjeHHP/dxwTOgTD1cHWIp/DpLsMaTkF+OTvKHw8uT3UrK5ERHeAvZdXnhAC8fHxSEtLs9rnGQwGZGZm8kKdajw3Nzf4+flxX70NtukmorvRu4kXWge64vNdUVgwvLlFPoNJdxk+3hGFNkGu6NPUW+lQiKiWYpvuyjMm3D4+PnBwcLB4ciGEgE6ng42NDRMZqrGEEMjJyUFiYiIAwN/fsp381GYCLOkmojsnSRIWDA/HuC/246FuIQhyd6j2z2DSfYvom9lYczAGvz3ZQ+lQiKgWkyQJBoPSUdR8er3elHB7enpa5TOZdFNtYW9vDwBITEyEj48Pq5qXQ7Ckm4juUssAVwxv7Y/3/7qADya1q/b1szHbLd768xzGtA9EuJ+L0qEQUS2mkgDBCuYVMrbhdnCo/rvKRHWB8diwRn8HtZVByE16iIjuxnODm+HPMzdw5np6ta+bSXcJh6NTsOdiEuYNaqp0KERUy8kdqSkdRe3BEmeisvHYqBib8hBRdQh0s8f07mF4c/PZaj+vMOkuIoTAm5vPYlbvhvBx0SodDhHVciqVBF4HEhFZHku6iai6PN63Ec7eyMCuC0nVul4m3UW2/huPaym5eLRXQ6VDIaI6QJIklr7UcdOnT8fo0aNNr6OjoyFJ0m0fK1euBADk5ubCw8MDXl5eyM/PL7Xu0NBQSJKEAwcOmE1/5pln0Ldv39vGNXfuXHTo0AEajQbt2rUrNX/Xrl0YNWoU/P394ejoiHbt2mHNmjUVft+8vDzMmTMHnp6ecHJywrhx45CQkGC2zNWrVzFixAg4ODjAx8cHzz//PHQ6XYXrJrobBiHAnJuIqoOrvS2e6t8Eb20+B301Vllk0g2gUG/A21vO45mBTeCoYd9yRHT3OE53/RMcHIwbN26YHs899xxatmxpNm3SpEkAgF9++QUtW7ZEeHg4NmzYUOb6tFotXnzxxTuKZebMmabPutX+/fvRpk0b/PLLLzh16hRmzJiBqVOnYtOmTbdd57PPPouNGzdi3bp12L17N+Li4jB27FjTfL1ejxEjRqCgoAD79+/HqlWrsHLlSixatOiOvgNRpbGkm4iq0ZSuIcgt1OPno9eqbZ3MMAH8cPgaJAmY1ClY6VCIqI7gON31j1qthp+fn+m1k5MTbGxszKYZLV++HFOmTIEQAsuXLy8zQZ41axaWLVuGzZs3Y/jw4ZWO4+OPPwYAJCUl4dSpU6XmL1y40Oz1008/jb/++gvr16/HyJEjy1xneno6li9fjrVr16J///4AgBUrVqB58+Y4cOAAunbtir/++guRkZHYvn07fH190a5dO7z22mt48cUXsXjxYtjZ2VX6OxBVBcfpJqLqZGejwgtDm+G1TZG4t20AHOzuPmWu9yXdWfk6fLT9Al4YEg5bdb3fHERUTVQSO1Kjsl26dAkRERGYOHEiJk6ciL179yImJqbUcmFhYZg9ezYWLFgAg4XHn0tPT4eHh4fp9a5duyBJEqKjowEAR48eRWFhIQYOHGhaJjw8HA0aNEBERAQAICIiAq1bt4avr69pmSFDhiAjIwP//vuvReOn+s0gwOrlRFStRrT2h7+rPZbvvVIt66v3WebXey4jxNMRQ1r6VrwwEVElSRJ71KWyffvttxg2bBjc3d3h4eGBIUOGYMWKFWUu+/LLL+PKlSuVanN9p3766SccPnwYM2bMME1zcHBAs2bNYGtrCwCIj4+HnZ0d3NzczN7r6+uL+Ph40zIlE27jfOM8IksREOzlnYiqlSRJWDi8OZbtvoSkzNJ9r1RVvU66EzPz8PXey1gwLJwnayKqVnJHakpHUXsJIZCZV2jBh67UNGvcJNHr9Vi1ahWmTJlimjZlyhSsXLmyzNJsb29vzJ8/H4sWLUJBQUG1x7Nz507MmDEDX3/9NVq2bGma3rlzZ5w7dw6BgYHV/plE1Y29lxORJXQO80D3xl74eMfFu15XvW7T/dH2i+jZ2AsdQz0qXpiIqArYkdrdycrXofXiv6z6macXD4az1tain7F161Zcv369VBtuvV6PHTt2YNCgQaXeM2/ePHz++ef4/PPPqzWW3bt3495778UHH3yAqVOn3nZZPz8/FBQUIC0tzay0OyEhwdRm3c/PD4cOHTJ7n7F387LatRNVGyGfc4mIqtuLQ8Mx4uO9mN4jFI28ne54PfU26b6UlIV1R2OxeW4vpUMhojpIJUlMuu+Ck8YGpxcPtsi6hRDQ6fSwsVGb1XJyssLoFcuXL8f999+Pl156yWz6G2+8geXLl5eZdDs5OeH//u//sHjxYtx3333VEseuXbswcuRIvP3225g1a1aFy3fo0AG2trbYsWMHxo0bBwA4f/48rl69im7dugEAunXrhjfeeAOJiYnw8fEBAGzbtg0uLi5o0aJFtcRNVBa5IzWm3URU/Rr7OGF8hyC8/ec5fDW14x2vp94m3e9sOYfxHYLQ2OfO71gQEZVHpQKrl98FSZIsVuosJ90SbGxs7rppUXp6Ok6cOGE2zdPTE8HBpUfDSEpKwsaNG/H777+jVatWZvOmTp2KMWPGICUlxaxDM6NZs2bhgw8+wNq1a9GlS5fbxhQVFYWsrCzEx8cjNzfXFF+LFi1gZ2eHnTt3YuTIkXj66acxbtw4U3trOzs702cfOnQIU6dOxY4dOxAYGAhXV1c8/PDDmDdvHjw8PODi4oKnnnoK3bp1Q9euXQEAgwcPRosWLfDQQw/hnXfeQXx8PF5++WXMmTMHGo2mUtuT6E5wnG4isqRnBjZF33d34nB0CjrdYQ3petmm+2hMCvZevIlnBjZROhQiqqMksE13fbBr1y60b9/e7LFkyZIyl/3uu+/g6OiIAQMGlJo3YMAA2NvbY/Xq1WW+19bWFq+99hry8vIqjOmRRx5B+/bt8eWXX+LChQumuOLi4gAAq1atQk5ODpYuXQp/f3/To+SY2zk5OTh//jwKCwtN0z744AOMHDkS48aNQ+/eveHn54f169eb5qvVamzatAlqtRrdunXDlClTMHXqVLz66qsVxkx0NwTYezkRWY63swaP9WmENzefveP+XyRRx7vXzcjIgKurK1JTU+Hm5gYhBCYsi0D3xl6YN6ip0uERWY3BYDBV+1Sp6uX9Nqv67cR1rD4Qg3WzuysdSo2Wl5eHK1euICwsDFqt1iqfKZd066qlpJvI0ix5jNSF3wUhBMIWbMb+//RHgJu90uFQLVUXjgWyrJwCHfq+uwuv3NsSI9r4m6Ybc8309HS4uLiU+/56t1f9FZmA6ORszOrdUOlQiKgOk9t0Kx0FEVHdZiw6YptuIrIkBzsbzBvUFO9sPYcCXenRRipSr5Jund6At7ecw9MDmlilwxwiqr8kib2XExFZmvEsy5ybiCxtQsdg2KlV+N+hq1V+b71Kun88cg1CAPd3bqB0KERUx6k4TjcRkcUZb24y6SYiS1OrJLw4NBwf77iIzLzCit9QQr1JurPzdfhw+0W8MKQZbNX15msTkUJUEu64sw0iIqocU9LNkbqJyAoGNPdBQ29HfL33SpXeV2+yz+8jYhDkbo+hrfyUDoWI6gW26SYisrTiNt3KxkFE9YMkSfjPsOb4Zu9lJGZWPKKIUb1JuldGRGPh8ObsqZaIrEIlAQLMuomILIkdqRGRtXUIcUevJl74eMfFSr+n3iTdXcI87ngwcyKiqlJJEgxV79ySiIiqgG26iUgJLwwNx7ojsbiUlFmp5etN0v30gCZKh0BE9Qh7Lycisrzi3suZdROR9TTydsLMnmF4dNWRSi1fb8bNaujtpHQIRFSPsKojEZHlGW9usk03EVnbC0OaQa3LxdFKLFtvSrqJiKyKJd1ERBZnPM2ypJuIrE2SJMzq3ahSyzLpJiKyAI7TXfdNnz4do0ePNr2Ojo6GJEm3faxcuRIAkJubCw8PD3h5eSE/P7/UukNDQyFJEg4cOGA2/ZlnnkHfvn1vG9fVq1cxYsQIODg4wMfHB88//zx0Op3ZMvn5+XjppZcQEhICjUaD0NBQfPvtt7ddb15eHubMmQNPT084OTlh3LhxSEhIqPJnE1UnwZJuIqoF6k31ciIia1KxpLveCQ4Oxo0bN0yv33vvPWzZsgXbt283TXN1dQUA/PLLL2jZsiWEENiwYQMmTZpUan1arRYvvvgidu/eXekY9Ho9RowYAT8/P+zfvx83btzA1KlTYWtrizfffNO03MSJE5GQkIDly5ejcePGuHHjBgwV9Pz37LPP4o8//sC6devg6uqKJ598EmPHjsU///xTpc8mqk4G9l5ORLUAk24iIguQwJLu+katVsPPz8/02snJCTY2NmbTjJYvX44pU6ZACIHly5eXmXTPmjULy5Ytw+bNmzF8+PBKxfDXX38hMjIS27dvh6+vL9q1a4fXXnsNL774IhYvXgw7Ozts2bIFu3fvxuXLl+HhIY/qERoaetv1pqenY/ny5Vi7di369+8PAFixYgWaN2+OAwcOoGvXrpX6bKLqJniiJaJagNXLiYgsQB6nm6i0S5cuISIiAhMnTsTEiROxd+9exMTElFouLCwMs2fPxoIFCyoshTaKiIhA69at4evra5o2ZMgQZGRk4N9//wUA/P777+jYsSPeeecdBAYGomnTppg/fz5yc3NN79m1axckSUJ0dDQA4OjRoygsLMTAgQNNy4SHh6NBgwaIiIio9GcTVTeWdBNRbcCSbiIiC5AkidXL74YQQH7lxr68g5UDOj2gVwMocaGucbbKYL/ffvsthg0bBnd3dwByYrpixQosXry41LIvv/wyVqxYgTVr1uChhx6qcN3x8fFmSS8A0+v4+HgAwOXLl7Fv3z5otVr8+uuvuHnzJp544gkkJydjxYoVAAAHBwc0a9YMtra2pvfa2dnBzc2t1LqN663MZxNVN8FxuomoFmDSTURkARyn+y7lZwJvBVtk1RIA27Jm/OcaoHWxyGca6fV6rFq1Ch999JFp2pQpUzB//nwsWrQIKpV5BTRvb2/TvLKqoN8Jg8EASZKwZs0aUxvz//73vxg/fjw+//xz2Nvbo3Pnzjh37ly1fB6RJRnPsizpJqKajEk3EZEFsPfyu6RxlpNgCxAQ0On0sLFRQ7q1pNvCtm7diuvXr5dKoPV6PXbs2IFBgwaVes+8efPw+eef4/PPP69w/X5+fjh06JDZNGMP48a25f7+/ggMDDQl3ADQvHlzCCEQGxuLJk2alLnegoICpKWlmZV2JyQkmNZbmc8mqm4cp5uIagO26SYisgCVBCbdd0OS5FJnSzw0LnKCrblluhVKypYvX477778fJ06cMHvcf//9WL58eZnvcXJywv/93//hjTfeQGbm7avcd+vWDadPn0ZiYqJp2rZt2+Di4oIWLVoAAHr06IG4uDhkZWWZlrlw4QJUKhWCgoLKXG+HDh1ga2uLHTt2mKadP38eV69eRbdu3Sr92UTVzcBxuomoFmDSTURkAaxeXj+kp6eXSqCvXSu7hD4pKQkbN27EtGnT0KpVK7PH1KlTsWHDBqSkpJT53lmzZsHV1RVr1669bTyDBw9GixYt8NBDD+HkyZPYunUrXn75ZcyZMwcajQYA8MADD8DT0xMzZsxAZGQk9uzZg+effx4zZ86Evb09AODQoUMIDw/H9evXAchDnT388MOYN28edu7ciaNHj2LGjBno1q0bunbtWunPJqpuQgi25yaiGo9JNxGRBUisXl4v7Nq1C+3btzd7LFmypMxlv/vuOzg6OmLAgAGl5g0YMAD29vZYvXp1me+1tbXFa6+9hry8vNvGo1arsWnTJqjVanTr1g1TpkzB1KlT8eqrr5qWcXJywrZt25CWloaOHTviwQcfxL333ouPP/7YtExOTg7Onz+PwsJC07QPPvgAI0eOxLhx49C7d2/4+flh/fr1VfpsouomBNtzE1HNJ4k6PsBhRkYGXF1dkZqaWqrXVaL6xGAwIDExET4+PqU6a6Lqd/xqKh77/igOvTSw4oXrsby8PFy5cgVhYWHQarVW+UwhBHQ6HWxsbFgllWo8Sx4jdeF3ISY5GwPe342oNys3lj1RWerCsUDKMOaa6enpcHEpvzPWGr1XLV68GJIkmT3Cw8OVDouIqEIqSTK1NSQiIstgSTcR1QY1vvfyli1bYvv27abXNjY1PmQioqKLQGbdRESWZGCbbiKqBWp8BmtjY8OhRoio1pE7UlM6CiKiuk3AKgMPEBHdlRpdvRwALl68iICAADRs2BAPPvggrl69qnRIREQVkiS57TAREVmOEILVy4moxqvRJd1dunTBypUr0axZM9y4cQNLlixBr169cObMGTg7O5f5nvz8fOTn55teZ2RkAJA7SDAYDFaJm6gmMhgMEELwOLAWIWAQ4PaugHG/ND6sxfhZvDFCNZ3x2LDEdUxd+F3Q6Q1QSTzX0t2pC8cCKaOy+0yNTrqHDRtmet6mTRt06dIFISEh+Omnn/Dwww+X+Z6lS5eWOVxLUlISCgoKLBYrUU1nMBiQnp4ulwqwZ06LS03NhV4v94ZK5SssLITBYIBOp4NOp7PKZwohoNfrAYC9l1ONp9PpYDAYkJycDFtb22pdd134XUhOzoUQgudauit14VggZWRmZlZquRqddN/Kzc0NTZs2RVRUVLnLLFiwAPPmzTO9zsjIQHBwMLy9vTlkGNVrBoMBkiTB29ubPyhWkCYyAUmCj4+P0qHUaHl5ecjMzISNjY3VO8qs7gSGyBJsbGygUqng6elpkSHDavvvQrI+A2qViudauit14VggZVT2vFyrku6srCxcunQJDz30ULnLaDQaaDSaUtNVKhUPIqr3JEnisWAlNmoV75hXgkqlMhsW0hqEEKbPYkk31XTGY8NS5+5a/7tQYvsQ3Y1afyyQIiq7v9TovWr+/PnYvXs3oqOjsX//fowZMwZqtRqTJ09WOjQiogpwnG4iIkuTx+lWOgoiotur0SXdsbGxmDx5MpKTk+Ht7Y2ePXviwIED8Pb2Vjo0IqLbUkmA4DjdREQWJSfdzLqJqGar0SXdP/zwA+Li4pCfn4/Y2Fj88MMPaNSokdJhERFVSCWxpLs+uHbtGmbOnImAgADY2dkhJCQETz/9NJKTk8tc/rHHHoNarca6detKzVu8eLGpKrGNjQ1CQ0Px7LPPIisrq9zPX79+PQYPHgxPT09IkoQTJ06YzU9JScFTTz2FZs2awd7eHg0aNMDcuXORnp5e4Xdbt24dwsPDodVq0bp1a2zevNlsvhACixYtgr+/P+zt7TFw4EBcvHixwvXejT179uDee+9FQEAAJEnChg0bSi2zePFihIeHw9HREe7u7hg4cCAOHjx42/WW3PbGR3h4eKnlIiIi0L9/fzg6OsLFxQW9e/dGbm5umetctmwZnJ2dzToIzMrKgq2tLfr27Wu27K5duyBJEi5dulTxRiAzBiE4TjcR1Xg1OukmIqqtOE533Xf58mV07NgRFy9exP/+9z9ERUVh2bJl2LFjB7p164aUlBSz5XNycvDDDz/ghRdewLffflvmOlu2bIkbN24gOjoab7/9Nr766is899xz5caQnZ2Nnj174u233y5zflxcHOLi4vDee+/hzJkzWLlyJbZs2VLuCCBG+/fvx+TJk/Hwww/j+PHjGD16NEaPHo0zZ86YlnnnnXfw8ccfY9myZTh48CAcHR0xZMgQ5OXl3XbddyM7Oxtt27bFZ599Vu4yTZs2xaefforTp09j3759CA0NxeDBg5GUlHTbdRu3vfGxb98+s/kREREYOnQoBg8ejEOHDuHw4cN48skny23P169fP2RlZeHIkSOmaXv37oWfnx8OHjxotp127tyJBg0asGDhDgiwbwYiqgVEHZeeni4AiNTUVKVDIVKUXq8XN27cEHq9XulQ6oWrydmi0YI/lA6jxsvNzRWRkZEiNzfXap9pMBhEQUGBMBgMd7WeoUOHiqCgIJGTk2M2/caNG8LBwUHMnj3bbPrKlStF165dRVpamnBwcBBXr141m//KK6+Itm3bmk179NFHhZ+fX4WxXLlyRQAQx48fr3DZn376SdjZ2YnCwsJyl5k4caIYMWKE2bQuXbqIxx57TAghb0M/Pz/x7rvvmuanpaUJjUYj/ve//1UYQ3UAIH799dcKlzNeB2zfvr3cZcra9rfq0qWLePnll6sUo7+/v1i6dKnp9QsvvCDmzJkjmjdvLnbu3Gma3rt3bzFt2rQy12HJY6Qu/C4cjUkRnd/YpnQYVMvVhWOBlGH8jUlPT7/tcizpJiKyEANLuuuslJQUbN26FU888QTs7e3N5vn5+eHBBx/Ejz/+aFbbYfny5ZgyZQpcXV0xbNgwrFy5ssLPsbe3R0FBQbXGnp6eDhcXF7Mh2kJDQ7F48WLT64iICAwcONDsfUOGDEFERAQA4MqVK4iPjzdbxtXVFV26dDEtU5Y333wTTk5Ot31cvXq1mr4pUFBQgK+++gqurq5o27btbZe9ePEiAgIC0LBhQzz44INmcSQmJuLgwYPw8fFB9+7/3969x0Vd5f8Df80MVwG5CQwoV0HxCngHLURJMtYW6itrm+iia1ZoArtW7qpoKVau5SO1FBfSNklXSzMqW0JkNZG8UZKK5iVb4yJyGQQEnDm/P/jxqYmLePkwgK/n4zEPnXPOfM77M3KceXPO53yC4OTkhODg4Gaz4b8VEhKCrKws6XlWVhbGjx+P4OBgqby2tha5ubkICQm5hzN9cAkhoABnuomoc+vUG6kREXVVSqWC26jdo4qaelTWNuiV9TAxgoOVKepv6VBY2fxaWnd7CwBAUeVN1N3S6tXZW5rC0tQImpsNuKaphZFKJS1LtTY3hk0Pk3bHdv78eQghMGDAgBbrBwwYgPLycly7dg2Ojo44f/48jhw5go8//hgAMH36dCQkJGDx4sWtLo09fvw40tLSMGHChHbHdTulpaV49dVX8cwzz+iV9+3bF7169ZKeFxUVwcnJSa+Nk5MTioqKpPqmstbatOTZZ59FVFRUmzG6uLjc/kRuIz09HdOmTUNNTQ2cnZ2RkZGhd36/NXr0aGzZsgX9+/dHYWEhli9fjoceegj5+fmwsrLCxYsXATRe+/2Pf/wD/v7+eP/99zFx4kTk5+fDx8enxeOGhIQgLi4Ot27dQm1tLU6ePIng4GA0NDRg48aNABp/wVFXV8ek+y5x93Ii6gqYdBMRyUCpaPwyKH51T2i6M9nnrmFv3s96ZWO87DHnYS9U1NTjlU9PN3tNyp9GNv556CIuXqvWq5v9kCeC+vbCscvl+ODIZSgUSml+7HF/F/zev/cdxyjauZohNTUVYWFhUuL32GOPYfbs2di/fz8mTpwotTt16hQsLS2h1WpRX1+P8PBwrF+//o7jaolGo0F4eDgGDhyoN6sNAJmZmfelj9uxs7ODnZ2d7P2EhIQgLy8PpaWl2Lx5M6KioqSZ6pZMnjxZ+vvQoUMxevRouLu749///jdmz54NnU4HoHEjvJiYGABAQEAAMjMzkZqailWrVrV43PHjx6O6uhpHjx5FeXk5+vXrBwcHBwQHByMmJgY3b97EgQMH4OXlBTc3t/v8LjwYdILXdBNR58ekm4hIBk3LHYUAd9a9S8H9HODvaqNX1sOk8WPLpocJlk4Z2OprZ4/zanGmGwBGeNjC3c6s2Uz3nfD29oZCocCZM2cQGRnZrP7MmTOwtbWFg4MDtFottm7diqKiIr0l3VqtFqmpqXpJd//+/bF3714YGRlJO6LfD1VVVXj00UdhZWWF3bt3w9i47fNVq9UoLi7WKysuLoZarZbqm8qcnZ312vj7+7d63KSkJCQlJbXZ9+nTp+85AbWwsIC3tze8vb0xZswY+Pj4ICUlBYsWLWrX621sbNCvXz/88MMPACCd48CB+j9zAwYMaHM5vLe3N/r06YOsrCyUl5cjODgYQONsvqurKw4fPoysrKz7uprhQSO4ezkRdQFMuomIZNC03JFLzO+eTQ+TVpd8mxgppaXkLVFbm7Va19PMGD2MGm/LdbczZPb29njkkUfwzjvvID4+Xu+67qKiImzbtg0zZsyAQqHA559/jqqqKpw8eRIqlUpql5+fj5iYGFRUVMDGxqbxvExM4O3tfVcxtUaj0SAsLAympqbYu3cvzMxaf2+aBAYGIjMzE3FxcVJZRkYGAgMDAQCenp5Qq9XIzMyUkmyNRoPc3Fw899xzrR63o5aX/5ZOp0NdXV2729+4cQMXLlxAdHQ0gMZr3l1cXFBQUKDX7ty5c3qz5C0JCQnBgQMHUF5ejoULF0rlDz/8ML744gt88803bb5n1DYd79NNRF0Ak24iIhk0JXM6IaDiJj/d0vr16xEUFISwsDCsWLECnp6e+P7777Fw4UL07t0bK1euBNC4gVp4eHizjbwGDhyI+Ph4bNu2DbGxsXcVQ1lZGa5cuYKff25cht+UFKrVaqjVamg0GkyaNAk1NTX44IMPoNFooNFoAAAODg7SLwEmTpyIyMhIzJs3DwCwYMECBAcHY82aNQgPD8f27dtx7NgxJCcnA2j8+Y6Li8OKFSvg4+MDT09PLFmyBC4uLoiIiGg13ntdXn7jxg1p9hlo3NAtLy8PdnZ2cHNzQ3V1NVauXInHH38czs7OKC0txYYNG3D16lVMnTpVet1vz/evf/0rpkyZAnd3d/z8889ITEyESqXCU089JZ3vwoULkZiYCD8/P/j7+2Pr1q04e/Ysdu3a1WbMISEhiI2NRUNDgzTTDQDBwcGYN28e6uvreT33PRBC8JpuIur0mHQTEcmgaeKFO5h3Xz4+Pjh27BgSExMRFRWFsrIyqNVqREREIDExEXZ2diguLsZnn32GtLS0Zq9XKpWIjIxESkrKXSfde/fula4xBoBp06YBABITE7Fs2TKcOHECubm5ANBsBv3SpUvw8PAAAFy4cAGlpaVSXVBQENLS0rB48WL87W9/g4+PD/bs2YPBgwdLbV588UVUV1fjmWeeQUVFBcaNG4d9+/a1ayb9bh07dkwvQU1ISAAAzJw5E1u2bIFKpcLZs2exdetWlJaWwt7eHiNHjsTBgwcxaNAg6XW/Pd///e9/eOqpp3D9+nU4ODhg3LhxOHLkCBwcHKQ2cXFxuHnzJuLj41FWVgY/Pz9kZGTc9t7aISEhqK2tha+vr97Gc8HBwaiqqkL//v31lujTneF9uomoK1CI9u4C00VpNBpYW1ujvLxcWr5H9CDS6XQoKSmBo6MjlEreLVBuZdX1GPZqBs6++ijMjFW3f8ED6ubNm7h06RI8PT1lTdZ+TQiBW7du3dPycqKOIucY6Q6fCwfPX0Pi3u+x/y/jDR0KdWHdYSyQYTTlmk2342wNf6qIiGQgXdPdrX+tSURkWDoBXsBDRJ0ek24iIhk07V7O5eVERPJpvKabaTcRdW5MuomIZKD4//+7MuUmIpKP4O7lRNQFMOkmIpJB01dAznQTEclHx/t0E1EXwKSbiEgGTTMvzLmJiOQjBHcvJ6LOj0k3EZEMfkm6mXUTEclFx/t0E1EXwKSbiEgGv9yn27BxEBF1ZzoBLi8nok6PSTcRkQwU0i3DmHUTEcmHu5cTUefHpJuISAZNXwI5001EJB8dr+kmoi6ASTcRkQyavgJyppuISD5C/PL/LRFRZ8Wkm4hIBtJGagaOg+T1008/YdasWXBxcYGJiQnc3d2xYMECXL9+vcX2c+fOhUqlws6dO5vVLVu2DAqFAgqFAkZGRvDw8EB8fDxu3LjRav9CCCxduhTOzs4wNzdHaGgozp8/36zdZ599htGjR8Pc3By2traIiIi47bnt3LkTvr6+MDMzw5AhQ/D555/fVd/306pVqzBy5EhYWVnB0dERERERKCgokOovX74svYe/fbT0njdZtmwZfH19YWFhAVtbW4SGhiI3N1evjYeHR7Njvvbaa60ec9q0aXj00Uf1yvbt2weFQoFly5Y169/Nze0O3glqwo3UiKgrYNJNRCSDXzZSY9rdXV28eBEjRozA+fPn8eGHH+KHH37Axo0bkZmZicDAQJSVlem1r6mpwfbt2/Hiiy8iNTW1xWMOGjQIhYWFuHz5Ml5//XUkJyfjL3/5S6sxvPHGG3j77bexceNG5ObmwsLCAmFhYbh586bU5qOPPkJ0dDRiYmLw7bff4uuvv8Yf//jHNs/t8OHDeOqppzB79mycPHkSERERiIiIQH5+/h31fb9lZ2cjNjYWR44cQUZGBhoaGjBp0iRUV1cDAFxdXVFYWKj3WL58OSwtLTF58uRWj9uvXz+sX78ep06dwqFDh+Dh4YFJkybh2rVreu1eeeUVvWPPnz+/1WOGhITg66+/xq1bt6SyrKwsuLq64sCBA3pts7KyEBISchfvCDUm3cy6iaiTE91cZWWlACDKy8sNHQqRQWm1WlFYWCi0Wq2hQ3lguL+ULv5XXmPoMDq12tpacfr0aVFbW9thfep0OlFfXy90Ot09HefRRx8Vffr0ETU1+v/GhYWFokePHuLZZ5/VK9+yZYsYM2aMqKioED169BBXrlzRq09MTBR+fn56ZXPmzBFqtbrV81Cr1WL16tVSWUVFhTA1NRUffvihEEKIhoYG0bt3b/HPf/7zjs4tKipKhIeH65WNHj1azJ07t919d4SSkhIBQGRnZ7faxt/fX8yaNeuOjtv03eGrr76Sytzd3cVbb73V7mMUFBQIACInJ0cqGzVqlNiwYYMwMzOTfuZra2uFqampeO+991o8jpxjpDt8Luw5+T/xf+9+begwqIvrDmOBDKPp86KysrLNdpzpJiKSiVLBa7q7q7KyMnz55Zd4/vnnYW5urlenVqvx9NNPY8eOHXr//ikpKZg+fTqsra0xefJkbNmy5bb9mJubo76+vsW6S5cuoaioCKGhoVKZtbU1Ro8ejZycHADAiRMncPXqVSiVSgQEBMDZ2RmTJ0/Wm7EGGpdO/3rJc05Ojt5xASAsLEw6bnv6bklSUhIsLS3bfFy5cuW270uTyspKAICdnV2L9cePH0deXh5mz57d7mPW19cjOTkZ1tbW8PPz06t77bXXYG9vj4CAAKxevVpvFvu3+vXrBxcXF2RlZQEAqqqqcOLECUydOhUeHh7S+3T48GHU1dVxpvsu6YTgRmpE1OkZGToAIqLuSqlQgDn3PagpA25W6JeZWAKWjsCtekDzv+avsfNq/FPzM3DrN8ucLRwAUyvgZiVQVQKojH7ZgcnMBujRcuLWkvPnz0MIgQEDBrRYP2DAAJSXl+PatWtwdHTE+fPnceTIEXz88ccAgOnTpyMhIQGLFy9uNWE4fvw40tLSMGHChBbri4qKAABOTk565U5OTlLdxYsXATReM/zmm2/Cw8MDa9aswfjx43Hu3DkpWe3bty969eqld+y2jtuevlvy7LPPIioqqtV6AHBxcWmzvolOp0NcXBzGjh2LwYMHt9gmJSUFAwYMQFBQ0G2Pl56ejmnTpqGmpgbOzs7IyMjQe09eeOEFDBs2DHZ2djh8+DAWLVqEwsJCvPnmm60eMyQkBAcOHMCiRYtw8OBB9OvXDw4ODnj44Ydx4MABqd7T0xPu7u7tOm/Sp9NxIzUi6vyYdBMRyUShAJPue/FDJpC/S7/MYxwQNB+oLQP2LWr+mj/uaPwzZwNw/Qf9usBYwPNh4MoRqI6mNC5FaPq6Pvj/gKFT7zjE9q5kSE1NRVhYmJTEPfbYY5g9ezb279+PiRMnSu1OnToFS0tLaLVa1NfXIzw8HOvXr7/juJrodDoAwN///nc8+eSTAID33nsPffr0wc6dOzF37lwAQGZm5l33cSfs7OxanZW+U7GxscjPz8ehQ4darK+trUVaWhqWLFnSruOFhIQgLy8PpaWl2Lx5M6KiopCbmwtHR0cAQEJCgtR26NChMDExwdy5c7Fq1SqYmpq2eMzx48cjLi4ODQ0NOHDgAMaPHw8ACA4OxqZNmwBASr7p7giA13QTUafHpJuISCYKhYIbqd0L74lAn+H6ZSaWjX+a2wGPrmr9tYGxLc90A4DbGGhtvWD025nuOwnN2xsKhQJnzpxBZGRks/ozZ87A1tYWDg4O0Gq12Lp1K4qKimBk9MvHrlarRWpqql7S3b9/f+zduxdGRkbSjuitUavVAIDi4mI4OztL5cXFxfD39wcAqXzgwIFSvampKby8vNpcxq1Wq1FcXKxXVlxcLPXZnr5bkpSUhKSkpFbrAeD06dO33cl73rx5SE9Px3//+1/06dOnxTa7du1CTU0NZsyY0eaxmlhYWMDb2xve3t4YM2YMfHx8kJKSgkWLWvjlDoDRo0fj1q1buHz5Mvr3799im5CQEFRXV+Po0aPIysrCwoULATQm3bNmzUJZWRlyc3OlX37QndMJASUvliSiTo5JNxGRTBTg7uX3pIdd60u+jUx+WUrekp5tLFE2swaMLAAjo1+2mb9D9vb2eOSRR/DOO+8gPj5e77ruoqIibNu2DTNmzIBCocDnn3+OqqoqnDx5EiqVSmqXn5+PmJgYVFRUwMbGBgBgYmICb2/vdsXg6ekJtVqNzMxMKdHVaDTIzc3Fc889BwAYPnw4TE1NUVBQgHHjxgEAGhoacPny5TaXMwcGBiIzMxNxcXFSWUZGBgIDA9vdd0vudXm5EALz58/H7t27pWXZrUlJScHjjz8OBweHNvtrjU6nQ11dXav1eXl5UCqV0kx4S/r27QtXV1fs3bsXeXl5CA4OBgD07t0bvXv3xpo1a1BfX8+Z7nsghICCC8yJqJNj0k1EJBOlQsH7dHdj69evR1BQEMLCwrBixQp4enri+++/x8KFC9G7d2+sXLkSQGPyFx4e3mxTroEDByI+Ph7btm1DbGzsHfevUCgQFxeHFStWwMfHB56enliyZAlcXFyk+3D37NkTzz77LBITE+Hq6gp3d3esXr0aADB16i/L6SdOnIjIyEjMmzcPALBgwQIEBwdjzZo1CA8Px/bt23Hs2DEkJye3u++W3Ovy8tjYWKSlpeGTTz6BlZWVdP24tbW13i8+fvjhB/z3v/9tdm/xJr6+vli1ahUiIyNRXV2NlStX4vHHH4ezszNKS0uxYcMGXL16VXqPcnJykJubi5CQEFhZWSEnJwfx8fGYPn06bG1t24w5JCQE77zzDry9vfWugQ8ODsa6deukDdfo7ghx1787IyLqMFyQQ0QkE+5e3r35+Pjg2LFj8PLyQlRUFPr27YtnnnkGISEhyMnJgZ2dHYqLi/HZZ59J11P/mlKpRGRkJFJSUu46hhdffBHz58/HM888g5EjR+LGjRvYt28fzMzMpDarV6/GtGnTEB0djZEjR+LHH3/E/v379ZLFCxcuoLS0VHoeFBSEtLQ0JCcnw8/PD7t27cKePXv0NixrT9/327vvvovKykqMHz8ezs7O0mPHjh167VJTU9GnTx9MmjSpxeMUFBRIO5+rVCqcPXsWTz75JPr164cpU6bg+vXrOHjwIAYNGgSgcUn+9u3bERwcjEGDBmHlypWIj4+XfgnRlpCQEFRVVUnXczcJDg5GVVUVZ7nvkU7wmm4i6vwUopt/I9RoNLC2tkZ5ebm0fI/oQaTT6VBSUgJHR0coeQFchxic+CU+fj4I/ZysDB1Kp3Xz5k1cunQJnp6esiZrvyaEwK1bt2BkZMRbDVGnJ+cY6Q6fCx8c+RFfnSnGlphRhg6FurDuMBbIMJpyzcrKSvTs2bPVdvypIiKSCXcvJyKSF3cvJ6KugEk3EZFMlNy9nIhIVkKIxrv/ERF1Yky6iYhkolBw93IiIjk1/hfLrJuIOjcm3UREMlEqFFxeTkQkIx1nuomoC2DSTUQkEyWv6SYikhV3LyeiroBJNxGRbBQQvFN3u3TzG2kQ3TWOjbYJIXifbiLq9Jh0ExHJRKlonIWh1hkbGwMAampqDBwJUefUNDaaxgrpE5zpJqIuwMjQARARdVfcSO32VCoVbGxsUFJSAgDo0aOH7PfO5n26qSsQQqCmpgYlJSWwsbGBSqUydEidkk4I7qNGRJ0ek24iIplwI7X2UavVACAl3nITQkCn00GpVDLppk7PxsZGGiPUHO/TTURdAZNuIiKZNCbdzLpvR6FQwNnZGY6OjmhoaJC9P51Oh+vXr8Pe3h5KJa+yos7L2NiYM9y3wd3Liagr6BJJ94YNG7B69WoUFRXBz88P69atw6hRowwdFhHRbfGa7vZTqVQdkmDodDoYGxvDzMyMSTdRF8fV5UTUFXT6bxs7duxAQkICEhMTceLECfj5+SEsLKzDliESEd0tpZI7DxMRyUkIweXlRNTpdfqk+80338ScOXMQExODgQMHYuPGjejRowdSU1MNHRoRUZuUCgVnuomIZKQT4N4MRNTpdeqku76+HsePH0doaKhUplQqERoaipycHANGRkR0ewpwppuISE463qebiLqATn1Nd2lpKbRaLZycnPTKnZyccPbs2RZfU1dXh7q6Oul5ZWUlAKCiokK2OIm6Ap1OB41GAxMTE17H2kEUDbWI++AwLEw69X+1DxwBAe0tLVRGKih4NSg9wLrDWCi7UYcJA5z4PY/uCb8j0d3SaDQAbj/J0u2+Ca5atQrLly9vVu7p6WmAaIiIiIhITt8BWGvoIIjogVZVVQVra+tW6zt10t2rVy+oVCoUFxfrlRcXF7d6z8pFixYhISFBel5RUQF3d3dcuXKlzTeCqLvTaDRwdXXFTz/9hJ49exo6HCKD4VggasSxQNSIY4HulhACVVVVcHFxabNdp066TUxMMHz4cGRmZiIiIgJA4/KPzMxMzJs3r8XXmJqawtTUtFm5tbU1BxERgJ49e3IsEIFjgagJxwJRI44Fuhvtmdjt1Ek3ACQkJGDmzJkYMWIERo0ahbVr16K6uhoxMTGGDo2IiIiIiIioTZ0+6f7DH/6Aa9euYenSpSgqKoK/vz/27dvXbHM1IiIiIiIios6m0yfdADBv3rxWl5PfjqmpKRITE1tcck70IOFYIGrEsUDUiGOBqBHHAslNIXgTWSIiIiIiIiJZ8EZ0RERERERERDJh0k1EREREREQkEybdRERERERERDLp1kn3hg0b4OHhATMzM4wePRrffPONoUMiktWqVaswcuRIWFlZwdHRERERESgoKNBrc/PmTcTGxsLe3h6WlpZ48sknUVxcbKCIiTrGa6+9BoVCgbi4OKmMY4EeFFevXsX06dNhb28Pc3NzDBkyBMeOHZPqhRBYunQpnJ2dYW5ujtDQUJw/f96AERPJQ6vVYsmSJfD09IS5uTn69u2LV199Fb/e4orjgeTQbZPuHTt2ICEhAYmJiThx4gT8/PwQFhaGkpISQ4dGJJvs7GzExsbiyJEjyMjIQENDAyZNmoTq6mqpTXx8PD799FPs3LkT2dnZ+Pnnn/HEE08YMGoieR09ehSbNm3C0KFD9co5FuhBUF5ejrFjx8LY2BhffPEFTp8+jTVr1sDW1lZq88Ybb+Dtt9/Gxo0bkZubCwsLC4SFheHmzZsGjJzo/nv99dfx7rvvYv369Thz5gxef/11vPHGG1i3bp3UhuOBZCG6qVGjRonY2FjpuVarFS4uLmLVqlUGjIqoY5WUlAgAIjs7WwghREVFhTA2NhY7d+6U2pw5c0YAEDk5OYYKk0g2VVVVwsfHR2RkZIjg4GCxYMECIQTHAj04XnrpJTFu3LhW63U6nVCr1WL16tVSWUVFhTA1NRUffvhhR4RI1GHCw8PFrFmz9MqeeOIJ8fTTTwshOB5IPt1ypru+vh7Hjx9HaGioVKZUKhEaGoqcnBwDRkbUsSorKwEAdnZ2AIDjx4+joaFBb2z4+vrCzc2NY4O6pdjYWISHh+v9zAMcC/Tg2Lt3L0aMGIGpU6fC0dERAQEB2Lx5s1R/6dIlFBUV6Y0Fa2trjB49mmOBup2goCBkZmbi3LlzAIBvv/0Whw4dwuTJkwFwPJB8jAwdgBxKS0uh1Wrh5OSkV+7k5ISzZ88aKCqijqXT6RAXF4exY8di8ODBAICioiKYmJjAxsZGr62TkxOKiooMECWRfLZv344TJ07g6NGjzeo4FuhBcfHiRbz77rtISEjA3/72Nxw9ehQvvPACTExMMHPmTOnnvaXvTBwL1N28/PLL0Gg08PX1hUqlglarxcqVK/H0008DAMcDyaZbJt1E1DjDl5+fj0OHDhk6FKIO99NPP2HBggXIyMiAmZmZocMhMhidTocRI0YgKSkJABAQEID8/Hxs3LgRM2fONHB0RB3r3//+N7Zt24a0tDQMGjQIeXl5iIuLg4uLC8cDyapbLi/v1asXVCpVs11oi4uLoVarDRQVUceZN28e0tPTkZWVhT59+kjlarUa9fX1qKio0GvPsUHdzfHjx1FSUoJhw4bByMgIRkZGyM7Oxttvvw0jIyM4OTlxLNADwdnZGQMHDtQrGzBgAK5cuQIA0s87vzPRg2DhwoV4+eWXMW3aNAwZMgTR0dGIj4/HqlWrAHA8kHy6ZdJtYmKC4cOHIzMzUyrT6XTIzMxEYGCgASMjkpcQAvPmzcPu3buxf/9+eHp66tUPHz4cxsbGemOjoKAAV65c4digbmXixIk4deoU8vLypMeIESPw9NNPS3/nWKAHwdixY5vdOvLcuXNwd3cHAHh6ekKtVuuNBY1Gg9zcXI4F6nZqamqgVOqnPyqVCjqdDgDHA8mn2y4vT0hIwMyZMzFixAiMGjUKa9euRXV1NWJiYgwdGpFsYmNjkZaWhk8++QRWVlbS9UfW1tYwNzeHtbU1Zs+ejYSEBNjZ2aFnz56YP38+AgMDMWbMGANHT3T/WFlZSXsZNLGwsIC9vb1UzrFAD4L4+HgEBQUhKSkJUVFR+Oabb5CcnIzk5GQAkO5fv2LFCvj4+MDT0xNLliyBi4sLIiIiDBs80X02ZcoUrFy5Em5ubhg0aBBOnjyJN998E7NmzQLA8UAyMvT26XJat26dcHNzEyYmJmLUqFHiyJEjhg6JSFYAWny89957Upva2lrx/PPPC1tbW9GjRw8RGRkpCgsLDRc0UQf59S3DhOBYoAfHp59+KgYPHixMTU2Fr6+vSE5O1qvX6XRiyZIlwsnJSZiamoqJEyeKgoICA0VLJB+NRiMWLFgg3NzchJmZmfDy8hJ///vfRV1dndSG44HkoBBCCEMm/URERERERETdVbe8ppuIiIiIiIioM2DSTURERERERCQTJt1EREREREREMmHSTURERERERCQTJt1EREREREREMmHSTURERERERCQTJt1EREREREREMmHSTURERERERCQTJt1EREQy+9Of/oSIiAiD9R8dHY2kpKR7OsaWLVtgY2NzfwKS2ZgxY/DRRx8ZOgwiIiIAgEIIIQwdBBERUVelUCjarE9MTER8fDyEEAZJWr/99ltMmDABP/74IywtLe/6OLW1taiqqoKjo+N9jK7x/du9e/d9/aVEeno64uPjUVBQAKWS8wtERGRY/CQiIiK6B4WFhdJj7dq16Nmzp17ZX//6V1hbWxtslnjdunWYOnXqPSXcAGBubn7fE265TJ48GVVVVfjiiy8MHQoRERGTbiIionuhVqulh7W1NRQKhV6ZpaVls+Xl48ePx/z58xEXFwdbW1s4OTlh8+bNqK6uRkxMDKysrODt7d0saczPz8fkyZNhaWkJJycnREdHo7S0tNXYtFotdu3ahSlTpuiVe3h4YMWKFZgxYwYsLS3h7u6OvXv34tq1a/j9738PS0tLDB06FMeOHZNe89vl5cuWLYO/vz/+9a9/wcPDA9bW1pg2bRqqqqr0+lm7dq1e3/7+/li2bJlUDwCRkZFQKBTScwD45JNPMGzYMJiZmcHLywvLly/HrVu3AABCCCxbtgxubm4wNTWFi4sLXnjhBem1KpUKjz32GLZv397qe0NERNRRmHQTEREZwNatW9GrVy988803mD9/Pp577jlMnToVQUFBOHHiBCZNmoTo6GjU1NQAACoqKjBhwgQEBATg2LFj2LdvH4qLixEVFdVqH9999x0qKysxYsSIZnVvvfUWxo4di5MnTyI8PBzR0dGYMWMGpk+fjhMnTqBv376YMWMG2roK7cKFC9izZw/S09ORnp6O7OxsvPbaa+1+D44ePQoAeO+991BYWCg9P3jwIGbMmIEFCxbg9OnT2LRpE7Zs2YKVK1cCAD766CO89dZb2LRpE86fP489e/ZgyJAhesceNWoUDh482O5YiIiI5MKkm4iIyAD8/PywePFi+Pj4YNGiRTAzM0OvXr0wZ84c+Pj4YOnSpbh+/Tq+++47AMD69esREBCApKQk+Pr6IiAgAKmpqcjKysK5c+da7OPHH3+ESqVqcVn4Y489hrlz50p9aTQajBw5ElOnTkW/fv3w0ksv4cyZMyguLm71HHQ6HbZs2YLBgwfjoYceQnR0NDIzM9v9Hjg4OAAAbGxsoFarpefLly/Hyy+/jJkzZ8LLywuPPPIIXn31VWzatAkAcOXKFajVaoSGhsLNzQ2jRo3CnDlz9I7t4uKCn376CTqdrt3xEBERyYFJNxERkQEMHTpU+rtKpYK9vb3ebK2TkxMAoKSkBEDjhmhZWVmwtLSUHr6+vgAaZ5xbUltbC1NT0xY3e/t1/019tdV/Szw8PGBlZSU9d3Z2brN9e3377bd45ZVX9M51zpw5KCwsRE1NDaZOnYra2lp4eXlhzpw52L17t7T0vIm5uTl0Oh3q6uruOR4iIqJ7YWToAIiIiB5ExsbGes8VCoVeWVOi3DRTe+PGDUyZMgWvv/56s2M5Ozu32EevXr1QU1OD+vp6mJiYtNp/U19t9d/ec/h1e6VS2Wx5ekNDQ6vHa3Ljxg0sX74cTzzxRLM6MzMzuLq6oqCgAF999RUyMjLw/PPPY/Xq1cjOzpZiKisrg4WFBczNzW/bHxERkZyYdBMREXUBw4YNw0cffQQPDw8YGbXv49vf3x8AcPr0aenvHcnBwQGFhYXSc41Gg0uXLum1MTY2hlar1SsbNmwYCgoK4O3t3eqxzc3NMWXKFEyZMgWxsbHw9fXFqVOnMGzYMACNm84FBATcx7MhIiK6O1xeTkRE1AXExsairKwMTz31FI4ePYoLFy7gyy+/RExMTLOktYmDgwOGDRuGQ4cOdXC0jSZMmIB//etfOHjwIE6dOoWZM2dCpVLptfHw8EBmZiaKiopQXl4OAFi6dCnef/99LF++HN9//z3OnDmD7du3Y/HixQAad1JPSUlBfn4+Ll68iA8++ADm5uZwd3eXjnvw4EFMmjSp406WiIioFUy6iYiIugAXFxd8/fXX0Gq1mDRpEoYMGYK4uDjY2NhAqWz94/zPf/4ztm3b1oGR/mLRokUIDg7G7373O4SHhyMiIgJ9+/bVa7NmzRpkZGTA1dVVmpkOCwtDeno6/vOf/2DkyJEYM2YM3nrrLSmptrGxwebNmzF27FgMHToUX331FT799FPY29sDAK5evYrDhw8jJiamY0+YiIioBQrR1r1AiIiIqEurra1F//79sWPHDgQGBho6nA7x0ksvoby8HMnJyYYOhYiIiNd0ExERdWfm5uZ4//33UVpaauhQOoyjoyMSEhIMHQYREREAznQTERERERERyYbXdBMRERERERHJhEk3ERERERERkUyYdBMRERERERHJhEk3ERERERERkUyYdBMRERERERHJhEk3ERERERERkUyYdBMRERERERHJhEk3ERERERERkUyYdBMRERERERHJhEk3ERERERERkUz+H6fcZInVPGiLAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 4))\n", "ax.plot(elapsed_noon, result_noon['power'], linewidth=0.8, label='LTAN 12:00', color='tab:blue')\n", "ax.plot(elapsed_dd, result_dd['power'], linewidth=0.8, label='LTAN 06:00', color='tab:orange')\n", "ax.axhline(oap_noon, color='tab:blue', linestyle='--', linewidth=1, alpha=0.7, label=f'OAP 12:00 = {oap_noon:.2f} W')\n", "ax.axhline(oap_dd, color='tab:orange', linestyle='--', linewidth=1, alpha=0.7, label=f'OAP 06:00 = {oap_dd:.2f} W')\n", "ax.set_xlabel('Time (minutes)')\n", "ax.set_ylabel('Power (W)')\n", "ax.set_title('Solar power comparison \\u2014 noon vs dawn-dusk orbit')\n", "ax.legend()\n", "ax.set_xlim(0, max(elapsed_noon[-1], elapsed_dd[-1]))\n", "ax.set_ylim(bottom=0)\n", "ax.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "id": "cell-13", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:58.200749Z", "iopub.status.busy": "2026-03-08T03:45:58.200466Z", "iopub.status.idle": "2026-03-08T03:45:58.206482Z", "shell.execute_reply": "2026-03-08T03:45:58.205577Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "=============================================\n", "Power summary — 8U CubeSat, 500 km SSO\n", "=============================================\n", " LTAN 12:00 LTAN 06:00\n", "---------------------------------------------\n", "OAP (W) 13.56 27.35\n", "Peak power (W) 27.11 27.89\n", "Eclipse fraction 37.6% 0.0%\n" ] } ], "source": [ "print('=' * 45)\n", "print('Power summary \\u2014 8U CubeSat, 500 km SSO')\n", "print('=' * 45)\n", "print(f\"{'':20} {'LTAN 12:00':>12} {'LTAN 06:00':>12}\")\n", "print('-' * 45)\n", "print(f\"{'OAP (W)':20} {oap_noon:>12.2f} {oap_dd:>12.2f}\")\n", "print(f\"{'Peak power (W)':20} {result_noon['power'].max():>12.2f} {result_dd['power'].max():>12.2f}\")\n", "eclipse_noon = (result_noon['power'] == 0).sum() / len(result_noon['power']) * 100\n", "eclipse_dd = (result_dd['power'] == 0).sum() / len(result_dd['power']) * 100\n", "print(f\"{'Eclipse fraction':20} {eclipse_noon:>11.1f}% {eclipse_dd:>11.1f}%\")" ] } ], "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": "3.13.12" } }, "nbformat": 4, "nbformat_minor": 5 }