{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "344ef829", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "code", "execution_count": 2, "id": "047d3a2c", "metadata": {}, "outputs": [], "source": [ "def Aerofoil(x):\n", " '''This function takes the x coordinate and returns the positive y coordinate of the aerofoil'''\n", " t=0.2\n", " y = (5*t)*((0.2969*x**0.5)-(0.1260*x)-(0.3516*x**2)+(0.2843*x**3)-(0.1015*x**4))\n", " return(y)" ] }, { "cell_type": "code", "execution_count": 3, "id": "3a5f0f32", "metadata": {}, "outputs": [], "source": [ "temp_c = 20\n", "pressure = 102300\n", "temp_k = 273+temp_c\n", "constant = 287\n", "rho=pressure/(constant * temp_k)" ] }, { "cell_type": "code", "execution_count": 4, "id": "8a0e792c", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 248, "width": 241 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#This is set up so if the aerofoil is turned clockwise the upper surface with have the tapping positons below otherwise\n", "#just switch upper and lower surface around\n", "x = [1, 2, 4.5, 7.5, 11, 14.5, 20, 26, 32.1, 38, 44, 50]\n", "xc_upper= []\n", "xc_lower =[]\n", "for i in range(12):\n", " if i % 2 == 0:\n", " xc_lower.append(x[i]/63)\n", " if i % 2 == 1:\n", " xc_upper.append(x[i]/63)\n", " \n", "plt.plot([Aerofoil(i) for i in xc_upper], xc_upper, 'ro', label= 'Upper Surface Tappings')\n", "plt.plot([Aerofoil(i) for i in np.linspace(0,1,100)], np.linspace(0,1,100), 'g-')\n", "plt.plot([-Aerofoil(i) for i in xc_lower], xc_lower, 'bo', label = 'Lower Surface Tappings')\n", "plt.plot([-Aerofoil(i) for i in np.linspace(0,1,100)], np.linspace(0,1,100), 'g-')\n", "plt.gca().invert_yaxis()\n", "plt.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n", "plt.grid()\n", "plt.axis('scaled')\n", "plt.show()\n", "\n", "positions_upper = [0.0159, 0.0714, 0.175, 0.317, 0.510, 0.698]\n", "positions_lower = [0.0317, 0.1190, 0.230, 0.413, 0.603, 0.794]" ] }, { "cell_type": "markdown", "id": "3d30c690", "metadata": {}, "source": [ "# starting analysis" ] }, { "cell_type": "code", "execution_count": 27, "id": "aea6f291", "metadata": {}, "outputs": [], "source": [ "def U_inf(readings, rho):\n", " \"\"\"\n", " finds the free stream velocity by the total and static pressures\n", " \"\"\"\n", " top = 2 * (readings[0]-readings[1])\n", " frac = top / rho\n", " return np.sqrt(frac)\n", "\n", "def c_p(pressure, readings, rho):\n", " \"\"\"\n", " finds the pressure coefficient from the total, static and measured pressures\n", " \"\"\"\n", " top = pressure - readings[1]\n", " bottom = 0.5 * rho * (U_inf(readings, rho)**2)\n", " return top / bottom\n", "\n", "def interpolate_both(readings):\n", " \"\"\"\n", " intepolates both of the arrays\n", " \"\"\"\n", " upper = readings[2:8]\n", " lower = readings[8:]\n", " \n", " upper_interp = np.interp(np.linspace(0,1,100), positions_upper, upper)\n", " lower_interp = np.interp(np.linspace(0,1,100), positions_lower, lower)\n", " \n", " upper_cp = np.array([c_p(value, readings, rho) for value in upper_interp])\n", " lower_cp = np.array([c_p(value, readings, rho) for value in lower_interp])\n", " \n", " return upper_interp, lower_interp, upper_cp, lower_cp\n", "\n", "def c_l(alpha):\n", " \"\"\"\n", " calculates the cl when given the alpha in the filename to work with\n", " \"\"\"\n", " filename = f\"{alpha}_deg.csv\"\n", " first = pd.read_csv(filename)\n", " a, b = first.columns\n", " pressures = pressure_from_readings(first[b])\n", " upper_interp, lower_interp, upper_cp, lower_cp = interpolate_both(pressures)\n", "\n", " x = np.linspace(0,1,100)\n", " grad_foil = np.gradient(Aerofoil(x), x)\n", " \n", " C_N = -np.trapz((lower_cp - upper_cp), x) # force normal to the airfoil\n", " \n", " C_T = np.trapz(((upper_cp + lower_cp) * grad_foil), x)\n", "\n", " return C_N * np.cos(np.radians(alpha)) - C_T * np.sin(np.radians(alpha))\n", "\n", "def c_d(alpha):\n", " \"\"\"\n", " calculates the cl when given the alpha in the filename to work with\n", " \"\"\"\n", " filename = f\"{alpha}_deg.csv\"\n", " first = pd.read_csv(filename)\n", " a, b = first.columns\n", " pressures = pressure_from_readings(first[b])\n", " upper_interp, lower_interp, upper_cp, lower_cp = interpolate_both(pressures)\n", "\n", " x = np.linspace(0,1,100)\n", " grad_foil = np.gradient(Aerofoil(x), x)\n", " \n", " C_N = -np.trapz((lower_cp - upper_cp), x) # force normal to the airfoil\n", " \n", " C_T = np.trapz(((upper_cp + lower_cp) * grad_foil), x)\n", "\n", " return C_N * np.sin(np.radians(alpha)) + C_T * np.cos(np.radians(alpha))\n", "\n", "def natplotlib(x, y, label):\n", " \"\"\"\n", " takes in 2 arrays consisting of [data, axis label]. There is also a label for the line\n", " \"\"\"\n", " \n", " plt.axhline(linewidth=1.5, color=\"grey\") \n", " plt.axvline(linewidth=1.5, color=\"grey\")\n", " plt.plot(x[0], y[0], label=label)\n", " plt.grid()\n", " plt.legend()\n", " plt.xlabel(x[1])\n", " plt.ylabel(y[1])\n", "\n", "def pressure_from_readings(readings, rho=rho, g=9.81):\n", " return [reading*rho*g for reading in readings]\n", "\n", "def pressure_distribution(a):\n", " filename = f\"{a}_deg.csv\"\n", " first = pd.read_csv(filename)\n", " c, b = first.columns\n", " pressures = pressure_from_readings(first[b])\n", " upper_interp, lower_interp, upper_cp, lower_cp = interpolate_both(pressures)\n", " return upper_cp, lower_cp" ] }, { "cell_type": "markdown", "id": "409f2341", "metadata": {}, "source": [ "the cell below gives graphs of the pressure distrobution of each foil, along with their $c_l$" ] }, { "cell_type": "code", "execution_count": 6, "id": "ea2e0b7d", "metadata": { "scrolled": true }, "outputs": [ { "data": { 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 265, "width": 395 }, "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "c_l of 0.00014554489704013038, alpha of 0\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 265, "width": 401 }, "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "c_l of 0.1422056165536396, alpha of 2\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "image/png": { "height": 267, "width": 395 }, "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "c_l of 0.7686831857569674, alpha of 8\n" ] }, { "data": { "image/png": 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gz549rFy5kp07d5KSklLsg395vPfee7z88ssMHz6ctm3bUq9ePXbs2MGXX35JaGio59oSAAMGDGDYsGEsXLiQ/v37M3LkSA4ePMiXX37JmDFjShzJ8MY999zDtGnTuPbaa7n66qtp2rQpGzZs4JtvvmHSpEl8+OGHZz3nnXfeIT4+nocffphPP/2U+Ph4rLVs27aNuXPnsmXLFs91LN577z1GjhzJbbfdxgsvvMCAAQOoW7cue/fuJTExkQ0bNrB06VIaNmzo0/dVHgoWUuPE1A7lruFtuGNoa5btPMq7K3Yzd+MBcvMtACdO5TLthySm/ZBE/7hobhzQgku7NiYsWHMxRESkapo6dSoRERG89tprTJ8+nUaNGnHDDTfw2GOP0blz51Kfd9VVV3HnnXfy1FNPMXv2bIKDg7nqqqv461//Svv27Ut8zrPPPstnn33Ga6+9RlJSEjExMUyZMoXHH3+82MXxALp378769et55plnmDVrFtOmTSMgIIAmTZrQq1cvpk6dSv369b1+/zfccAPZ2dksWbKENWvWcOrUKZo2bcr111/Pgw8+SNeuXYttP3PmTH77298yc+ZMXnzxRdq1a8ff//53Ro8ezUcffeR1Pafr3r078+fP549//CNfffUVeXl59OjRgxkzZlC3bt0Sg0WrVq1Ys2YNf//73/n888956aWXCAsLIy4ujgcffJCGDRuSn+86wqJZs2asXr2aF198kU8//ZR3332X/Px8GjduTOfOnfn1r39Nt27dfPqeystYa52uQc7DGLO6d+/evVevXl3prz116lTP40cffbTSX99XDqdn8/HqPXywYg+7U88ekq0XEczVvZtxw4AWtGlQu4Q91GyFw7fx8fGO1iEVR33sH2paPxeeQrNTp04OV1K1pKe75g1GRpY+6j59+nRuvfXWEicUl2by5Mm8+eab7Nq1y3N4jzinLP18Icr6+9SnTx/WrFmzxlrb50JfQyMW4hcaRIZyT3xb7h7Whh92HOG95bv5dtNB8gpcwfpYZi6vL97F64t3MbB1NDf0d41ihAZpFENERESkLPwyWBhj2gFXAWOAdkAj4BiwDHjOWju/HPscBPwRGAiEAduB/wEvWms1W7iKCAgwDG3XgKHtGnAoLYuP3XMx9h4rupDNsp2pLNuZSnStEK7p04wb+reg1RlnnRIRERGR4vwyWABPANcBm4CvgFSgAzABmGCMmWKtfaGsOzPGTAQ+BbKAD937Gw88CwwGrvVp9eITDeuEce+ItvxyeBsWbjvMe8t3M2/LIfLdoxipGTm8unAnry7cyaA2Mdw4oAWjOzcmJEgnUxMRERE5k78Gi2+Av1lr157eaIwZDnwL/MMY87G1NuV8OzLG1AFeA/KBeGvtKnf7n4DvgWuMMddbaz/w9ZsQ3wgIMMR3aEh8h4YcOJHFR6v28MGK3ew/keXZZsmOoyzZcZT6tUOYPCiOWwe3olaov/76iIhIVTd58uQyz60oNH36dKZPn14h9Yh/8MuvXq21088MFe72BUACEAIMKuPurgEaAB8Uhgr3vrJwHRoF8EuvCpZK0zgqjPtGtWPR70byv8l9ubhTQwJOuwjnkZM5/HPuTwz7+3zeWLxL18QQERERcdNXrmfLdd+ffR34ko10339TwrqFQCYwyBgTaq3N9rY4qRyBAYaRHRsxsmMj9h8/xYcr9/Dhyj0cSHONYhzNyOGJWZt4fdFO7hvVjmv6NCM40C9zuoiIiAig080WY4xpCWzFdVhTM2vtsTI8ZyXQF+hrrT3rfLDGmA1AF6CztXbzefZV2vlkO7Zr1y7i1VdfPV85Pnf6peiHDx9e6a9fleQXWJbsz+Pz7bkczSr+e9MownB9xxB6NayeWd3Xp7STqkd97B9qWj9HREQQERFR4tWh/Vnh9Q0CA3XmwprM1/2cnJxMZmbmea+Efuedd7Jt27ZynW5WX7G6GWNCgXeBUOCxsoQKtyj3/YlS1he21y1/dVIVBAYYhjYL5ulh4fysUwh1QorWHcy0vLAmm/m7c0vfgYiIiEgNVj2/XgWMMUnAhXyF8a619qZS9hUIvI3rDE4fAv/0usDTdu++P+/QUGnJ0BizOjIysrcTFzw6fcSiplxwyRcuAR7JyWP6kiT+m7CDtKw8LPDmphyaxrXmzmFtnC7xgtS0i2rJ2dTH/qGm9XPhBb1qygiMr9S0kSkpma/7OTAwkMjISPr373/O7bx5vWobLIAduE7vWlb7S2p0h4p3cJ0S9iPgJnthx4cVjkhElbK+zhnbSQ0RERLEPfFtub5fC26dvpL1e44D8JevtnAyO58HLm6HMebcOxERERGpIaptsLDWjvJ2H8aYIOA9XKHiPeDn5biY3VZccyzaA8XmSLj33wrXRPCd3tYrVVN0rRDevX0Av5i+khW7UgF4Yd42MrLz+OPlnRQuRERExC/47RwLY0wI8AmuUPEWcHM5r5D9vfv+0hLWDQMigCU6I1TNVjs0iDdv7c/w9g08bW8s3sUfZvzoueCeiIiISE3ml8HCPVH7M2Ai8AZwq7W24DzPiTLGdDTGNDlj1SfAEeB6Y0zf07YPA550L/7HZ8VLlRUeEsirP+/DZV0be9o+WLmHBz5cR27+Of95iYiIiFR7fhksgP8CY3EFgn3An40xj51xiz/jOVcCm4G/nt5orU0D7gACgQRjzOvGmL8D64CLcAWPDyvwvUgVEhoUyIs39OKq3k09bV+s388v31mji+mJiEi5JCUlYYy54Ctpi3fS0tK47777iIuLIygoCGMM69atc7qsKq3azrHwUiv3fX3gz+fYLqEsO7PWfm6MGQ48AlwNhAHbgf8DXrjAyeBSzQUFBvDPa3pQKySIt5clA/Dd5oPc/uYqXv15HyJC/PXXTkREpPp46KGHeOWVVxg3bhw333wzgYGBNG7c+PxP9GN++QnHWhtfjudMB6afY/0PuEZBRAgIMDw+sQsRoYG8ssA1b3/x9iPc/MYK/je5H1HhwQ5XKCIiIucya9Ys2rdvz5dfful0KdWGvx4KJVLhjDH8/tKO/GZ0e0/b6uRj3PjaMo6e1Fx+ERGRqmz//v00aXLm1Fo5FwULkQpkjOFXI9vx53GdPW0b96dx3avLOJh2IZdhEREROVtKSgr33nsvcXFxhISE0KBBA6666ipWry52BnzmzJmDMYZHHnmkWPv333+PMQZjDHv27Cm2btKkSRhj2Lmz+Bnzt2zZwuTJk2nevDmhoaE0atSIG2+8ka1bt55V3+TJkz37ePHFF+nevTvh4eFluohjYmIiN9xwA3FxcYSGhtKgQQN69+7N/fffT25u7lmvkZSUdNY+EhISMMbw2GOPFWuPj4/HGENOTg6PP/44HTp0IDQ0lMmTJ3vWWWtZsGCB5+dTWHNOTg4vvfQSY8eOpWXLloSGhhIdHc3FF1/M119/Xer72bt3L/fddx/t2rUjLCyM6Oho+vfvzxNPPFHitg8++CDdu3cnNDSUmJgYJkyYwMqVK8/7c3OSXx4KJVLZfjGkFbVDg/jdjESshe2HTnLtf5fy7u0DaB4d4XR5IiJSDe3atYshQ4awf/9+Ro4cyQ033MCePXv4+OOPmT17Np9++injxo0DYOjQoYSEhDBv3jyeeuopzz6+//57z+N58+Z5Johba0lISCAuLo7WrVt7tvnmm2+46qqryM3NZfz48bRt25a9e/cyY8YMZs+ezfz58+ndu/dZtU6ZMoVFixZx+eWXM3bsWAIDA8/53hITExkwYADGGCZMmECrVq1IS0tj+/bt/Pvf/+bJJ58kONj7w4qvvvpqVq5cyWWXXcYVV1xBw4YNiY+PJz4+nqlTp9KyZUvPzyQuLg6A1NRUpkyZwqBBg7jkkkto0KABKSkpfPnll4wdO5bXXnuN22+/vdjrrFq1ijFjxpCamsqwYcO46qqryMzMZNOmTTz22GP86U9/8my7Zs0aRo8eTWpqKqNGjeLqq6/myJEjfP755wwZMoTPPvuMsWOr5tH3ChYilWRSv+aEhwTywIfryCuw7E7N5Nr/LuWd2wfQtmFtp8sTEal+HotyuoKye+yEz3d59913s3//fp588sliIxH33HMPw4YN45ZbbiE5OZnatWsTERHBgAEDWLJkCSdOnCAqyvWzmzdvHr169WL37t3FgkViYiKHDx9m/Pjxnv0eO3aMG264gYiICBYuXEjnzqeNxm/cyIABA7j99ttZs2bNWbWuWbOGtWvX0qpVq7PWleTNN98kKyuLzz//nIkTJxZbd+zYMSIifPOlXHJyMhs2bKB+/fpnrZs6dSpxcXFnjXbUq1eP5ORkmjVrVqz9xIkTDB48mIceeoif/exnhIeHA64RjmuvvZbU1FTeffddbrzxxmLPO32kKC8vj0mTJnHy5Elmz57NkCFDiIyMBFyHZvXr14/bbruNpKQkQkNDffEj8CkdCiVSicb3iOWVm/sQEuT61TuQlsV1ryxl437f/4cjIiI11759+5g7dy4tWrTgoYceKrZu0KBB3HDDDaSmpjJjxgxP+6hRo8jPz2fBggUApKens2rVKi655BJGjBjBvHnzPNsWPh41apSn7a233uL48eNMnTq1WKgA6NKlC3fccQdr165l06ZNZ9X70EMPlTlUnK7ww/np6tWrR0CAbz7CPvHEEyWGinMJDQ09K1QAREVF8Ytf/IJjx44VO2Tpyy+/JCkpiQkTJpwVKgCaN2/ueTx79mx27NjBr3/9a4YMGVJsu9jYWB566CEOHDhQrK+qEo1YiFSyUZ0aMW1yP+54axWZOfkczcjhhleXMf0X/endop7T5YmISDWQmJgIuA5xKumQoJEjR/LOO++wdu1afv7zn3vaHnvsMebNm8eECRNYsGABeXl5jBo1iri4OD755BM2b95Mp06dPIdIjRw50rPPpUuXArB+/fqzvsUH+OmnnwDYvHnzWcGjf//+F/T+rrvuOp5//nmuuOIKrrnmGi6++GIGDx5MmzZtLmg/53OhdRXauHEj//jHP1i4cCEpKSlkZRWfN7lv3z7P42XLlgFw2WWXnXe/hT/j5ORk/vKXvwAUG5nYtm0b4PoZV8XDoRQsRBwwuG193r5tAJOnrSA9K4+0rDxuen05r/+8L4PaXtg3JyIifqsCDi+qLk6ccL330s5aVNh+/PhxT9vAgQOpVauW59vuefPmERISwpAhQzzzB+bNm0e7du08hzqdft2Go0ePAvDaa6+ds7aTJ0+e1Xah13/o378/ixYt4qmnnuKTTz7h7bffBqBDhw48+uij3HDDDRe0v9KU57oUy5YtY+TIkZ5QNmHCBOrUqUNAQADr1q1j5syZZGcXnf2xsA+aNm1ayh6LFP6MP/7443NuV9LPuCpQsBBxSJ+W9fjgzoH8/I0VHM3IITMnn8nTV/Lfm3ozsmMjp8sTEZEqrHCOxIEDB0pcn5KSUmw7gODgYIYMGcKcOXNISUlh3rx5XHTRRURERNC+fXuaNWvGd999R+/evUlPTy82WnH6vtavX0/37t0vqF5jzAVtD3DRRRcxa9YssrOzWb16Nd988w0vvvgiN954Iw0aNODiiy8G8BwWlZeXd9Y+Tg9WvqrrySef5NSpU8yfP/+ss1v99a9/ZebMmcXa6tatCxQfxShN4c945syZjBgxAsAzx6I60BwLEQd1iY3iw7suonGdMABy8gq4863VzErc73BlIiJSlRV+sF+8eHGJH6jnz58PcNYZmgrnTHzwwQds2LCh2ByKkSNHkpCQwLffflts20IDBw4EYNGiRT56F2UTGhrKoEGDePzxx3nhhRcAin14r1fPdRjxmafLBdfZmHxt+/btREdHl3jK3ML5K6cr/Lmd61S0Z25b2T9jX1GwEHFY24a1+fjui2ge7Zqglldgue/9tXy08uw/kCIiIuA6rOaSSy4hKSmJ5557rti65cuX895771GvXj2uvPLKYusKRyGefvpprLVnBYsTJ07w73//m4CAgLM+ON96663UrVuXqVOnsmLFirNqKigoICEhwSfvb9GiRZ7DvU538OBBgGJnhSqcJ3HmIVo//vgjzz//vE/qOV1cXBypqameeS6F3njjDebMmXPW9uPHjycuLo4vvviC999//6z1p49kTJw4kTZt2vDyyy+XuC9wzcPIzMz08l1UDB0KJVIFNI+O4OO7BvGz15ex43AGBRYe+jSRjJw8bh184WfREBGRmu+///0vgwcP5re//S1z586lb9++nutYBAQEMG3atLMOo+nVqxfR0dEcOnSI2rVrF5u8XBgyDh06RN++fT2H8BSKiYnhk08+4corr2TgwIGMGjWKLl26EBAQwO7du1m6dClHjx49ayJzefzrX/9i7ty5xMfH07p1a2rXrs3GjRv5+uuvqVevHnfeeadn24kTJ9KuXTvef/999u7dy4ABA9i9ezczZ85k4sSJfPTRR17Xc7r777+fOXPmMGTIECZNmkRUVBSrVq1i8eLFXHPNNXzyySfFtg8JCeHjjz9m9OjR3HjjjbzyyisMHDiQrKwsNm/ezLx58zyjTsHBwcyYMYMxY8Zw7bXXMmDAAPr06UNERAR79uxh5cqV7Ny5k5SUFJ+dcteXFCxEqojGUWF8dNdF3PzGCjalpAEw9ctNZObkc++Itg5XJyIiVU3r1q1ZtWoVTz75JF999RUJCQnUqVOHSy+9lEceeYR+/fqd9ZzCkYgZM2YwbNgwgoKKPgo2a9aM9u3b89NPP501v6LQqFGjSExM5J///Cdz5sxh0aJFhISEEBsby8iRI7n66qt98t7uuece6tWrx/Lly/nhhx/Iy8ujWbNm3HPPPTz44IO0bNnSs21YWBjz5s3jN7/5Dd9++y0rV66ka9euvPfee0RHR/s8WFx66aV8+eWXPPnkk3z44YcEBgbSv39/5s+fz86dO88KFgB9+/Zl3bp1PP3003z99dcsWbKEyMhI2rZty9SpU4tt2717d9avX8/TTz/NN998w7Rp0wgICKBJkyb06tWLqVOnXvApciuLsdY6XYOchzFmde/evXuvXr260l/79H/sjz76aKW/vj86cSqXW6etYM3u4562X8a34aExHco1yawsCoeuSzpeVGoG9bF/qGn9vHnzZgA6derkcCVVS3p6OlC9JvXKhfN1P5f196lPnz6sWbNmjbW2z4W+huZYiFQxUeHBvH3bAAa3jfG0/SdhB49+sZGCAn0RICIiIlWTgoVIFVQrNIg3bunHxZ0aetreWprMbz9JJC+/wMHKREREREqmYCFSRYUFB/Kfm/owvkesp+3TNXu574O15OQpXIiIiEjVomAhUoUFBwbw3HU9ua5vc0/bVz8e4M63V5GVm+9gZSIiIiLFKViIVHGBAYanr+7GL0477WzC1sPc8r8VnMw++6JIIiIiIk5QsBCpBowx/GlcJ+4bWXTa2eW7UvnZ68s5npnjYGUiIiJS1VXWWWAVLESqCWMM/ze6A3+4rKOnbf2e41z/6jIOp2c7WJmISMUoPMV2QYHmlYl4ozBYVNRp6wspWIhUM3cNb8MTV3T1LG85kM51ryxl//FTDlYlIuJ7oaGhAGRkZDhciUj1Vvg7VPg7VVEULESqoZsHtuSZST0IcH/xsPNIBtf+dylJR/Sfr4jUHIUXBjtw4ADp6ekUFBRU2iEdItWdtZaCggLS09M5cOAAUPEXVQw6/yYiUhVd1bsZESGB/Pr9teTmW/YdP8W1ryzlndsG0KGxrsYqItVfdHQ0GRkZZGZmsnfvXqfLqTLy811nBQwMDHS4EqlIvu7niIgIoqOjfbKv0mjEQqQau7RrE16/pR9hwa5f5cPp2Vz36lIS9x53tjARER8ICAigefPmNGjQgLCwsAo/Pry6yMzMJDMz0+kypIL5op+NMYSFhdGgQQOaN29OQEDFfvTXiIVINTe8fQPevLU/t725ipPZeRzPzOXG15bzv8n96N+qYr+ZEBGpaAEBAdSvX5/69es7XUqVkZCQAED//v2dLUQqVHXsZ41YiNQAA1rH8O7tA6gbEQzAyew8fv6/5Sz86bDDlYmIiIi/ULAQqSF6NK/LB3cOpH5t1xkfsnILuP3NVczZeMDhykRERMQfKFiI1CAdG9fh47svIjYqDICc/ALueXcNn6/d53BlIiIiUtMpWIjUMK3q1+LjXw4iLiYCgPwCywMfreO95bsdrkxERERqMgULkRqoad1wPrr7Ijo0cp121lp4+LMfeW3hTocrExERkZpKwUKkhmoYGcYHdw6ke7MoT9tTX23m2W9/0gWmRERExOcULERqsHq1Qnj39gH0jys67ezz87bx1OzNChciIiLiUwoWIjVcZFgwb/6iP8PaN/C0vb54Fw9/toH8AoULERER8Q0FCxE/EB4SyGs/78OYLo08be+v2M3/fbSO3PwCBysTERGRmkLBQsRPhAYF8vKNvbmqV1NP28x1+7nn3TXkauRCREREvKRgIeJHggID+Oe1PfjZgBaetm83HeS51Vlk5ylciIiISPkpWIj4mYAAw5NXdOWuYa09bRuPFvDPVVmkZeU6WJmIiIhUZwoWIn7IGMPvL+vIg5e097RtO17Aja8tIzUjx8HKREREpLpSsBDxU8YYfj2qHX8a19nTtmFfGte9spSDaVkOViYiIiLVkYKFiJ+7bUgrbu0agnEvbzt0kkmvLGVPaqajdYmIiEj1omAhIgxvFsxdPUIJCnDFi+SjmUx6ZSk7Dp90uDIRERGpLhQsRASAgU2C+O9NfQgJcv1ZSDmRxXWvLGXT/jSHKxMREZHqQMFCRDwu7tyIaZP7ER4cCMCRkzlc/+pS1uw+5nBlIiIiUtUpWIhIMYPb1ued2/sTGRYEQFpWHje9vpwlO444XJmIiIhUZQoWInKWPi2jef+OgUTXCgEgMyefW6etZP6WQw5XJiIiIlWVgoWIlKhr0yg+umsgjeqEApCdV8Cdb69idmKKw5WJiIhIVaRgISKlatswko/vGkTz6HAAcvMtv35/DR+v2uNwZSIiIlLV+GWwMMYEG2OmGGOmGWPWGWNyjDHWGHN7OfYV535uabcPKuI9iFSWFjERfHzXINo0qAVAgYXffpLIm0uSnC1MREREqpQgpwtwSC3gOffjg8ABoLmX+1wPfF5C+wYv9yviuMZRYXx010Xc/MYKNqW4Tj/76BcbOZmdx70j2jpcnYiIiFQF/hosMoGxwDprbYox5jHgUS/3uc5a+5i3hYlUVTG1Q3n/zoHcOm0Fa3YfB+Afc7ZyLCOHh8d2IiDAnHsHIiIiUqP55aFQ1toca+3X1lrNQhW5AFHhwbx92wAGtYnxtL2+eBf3fbCW7Lx8BysTERERp/llsKggscaYu4wxD7vvuztdkEhFqBUaxP8m92N050aetlmJKfz8jRWcyMx1sDIRERFxkr8eClURLnHfPIwxCcAt1trdZdmBMWZ1Kas6pqenk5CQ4FWB3nL69aXipKenAxfWx9c3t+SfDGLe7jwAlu9KZewz3/J/fcKICdd3FlVNefpYqh/1s39QP/sHp/q58HXLQ//7ey8TeALoA9Rz34YD84F4YJ4xppZj1YlUkABjuKlTCJPaB3va9p20PLEsiz3pBQ5WJiIiIk6otiMWxpgkoOUFPOVda+1Nvq7DWnsI+PMZzQuNMaOBxcAA4Hbg+TLsq09J7caY1ZGRkb3j4+O9rPbCLViwwPPYideXylH4bUh5+njECBi8bh+/+Xg9ufmW49mWv63K5V+TejCmS2PfFirl5k0fS/WhfvYP6mf/4FQ/R0ZGlvu51TZYADuArAvYfn9FFVISa22eMeZ1XMFiGGUIFiLV1cSeTWkQGcpdb60mPTuPk9l53PX2aq7q1ZRHx3chKiL4/DsRERGRaq3aBgtr7SinayiDw+57HQolNd6gNvX5+JcXceu0laSccGX+GWv3sXj7EZ6+uhsjOzY6zx5ERESkOtMci4o10H2/09EqRCpJx8Z1+HrKUK7s1dTTdig9m19MX8VvPl7PiVM6a5SIiEhNpWBRRsaYKGNMR2NMkzPaBxhjQkrYfiTwgHvxncqoUaQqqBsRwrPX9eSVm/tQv3bRr8Ynq/cy5tmFJGw95GB1IiIiUlGq7aFQ3jLG/B7o6F7s6b6/1RgzxP14sbX29dOeciUwDXgTmHxa+9+ALu5Ty+51t3UHRrof/8lau8SnxYtUA2O6NKZfXDSPfrGRL9e7pjgdSMti8rSVXN+vOY9c3onIMM29EBERqSn8NlgAl+I6LezpBrlvhV7n/N7GFTr6AZcBwcBB4CPgJWvtIu9LFameomuF8OINvRjbtTF//HwDRzNyAPhg5R4W/nSYv1/TgyHt6jtcpYiIiPiC3wYLa238BW4/HZheQvsbwBs+KUqkhrqsWxP6t4rmzzM3MvvHFAD2n8jipjeW87MBLfjD2E7UDvXbP0ciIiI1guZYiEiliKkdyss/681LN/ai3mmnn313+W4ufW4hS3YccbA6ERER8ZaChYhUqnHdY5n7wHDGdCk6/ezeY6e48bXl/HnmBjKy8xysTkRERMpLwUJEKl2DyFD+e1Mfnr++J1HhRaMXby1N5rLnF7F851EHqxMREZHyULAQEUcYY5jYsynfPjCMizs19LTvTs3k+teWMfXLjZzKyXewQhEREbkQChYi4qiGdcJ47ed9eWZSD+qEuSZwWwvTfkhi7AuLWJWU6nCFIiIiUhYKFiLiOGMMV/VuxtwHhjOiQwNP+64jGVz7ylKemr2JrFyNXoiIiFRlChYiUmU0jgrjf5P78fdruhMZWjR68dqiXYx9YRFrdh9zuEIREREpjYKFiFQpxhgm9W3OnAeGMax90ejFzsMZXPOfJfz1680avRAREamCFCxEpEqKrRvOm7f24+mrunkunldg4ZUFOxn34mLW7TnubIEiIiJSjIKFiFRZxhiu79+Cb+4fyuC2MZ727YdOctW/f+Dv32whO0+jFyIiIlWBgoWIVHnN6kXwzm0DePKKrkSEBAKu0Yt/J+xgwos/8OPeEw5XKCIiIgoWIlItGGO4aWBL5tw/jAGtoj3tWw+mc8W/f+CZuVvJyStwsEIRERH/pmAhItVK8+gI3r9jIFMndCE82DV6kV9geeH77Ux8+Qc27tfohYiIiBMULESk2gkIMNwyKI6vpwylX1w9T/vmlDQmvvQDz3+3jdx8jV6IiIhUJgULEam24urX4sM7L+JP4zoTGuT6c5ZXYHn2u5+44uUf2HIgzeEKRURE/IeChYhUawEBhtuGtOLrKUPp3aKup33j/jTGv7iYl77fRp5GL0RERCqcgoWI1AitG9Tm47sH8fDYjoS4Ry9y8y3/nPsTV/1nCT8dTHe4QhERkZpNwUJEaozAAMOdw9rw1X1D6NG8rqc9ce8Jxr2wmP8k7NDohYiISAVRsBCRGqdtw0g+vfsifndpR0ICXX/mcvIL+Ns3W7jmv0vZfuikwxWKiIjUPAoWIlIjBQUG8Mv4Nsy6bwjdmkZ52tftOc7YFxbx2sKd5BdYBysUERGpWRQsRKRGa98okhn3DOI3o9sTHGgAyMkr4KmvNjPplaXsPKzRCxEREV9QsBCRGi84MIBfjWzHF78aQpfYOp721cnHuOz5RbyxeBcFGr0QERHxioKFiPiNTk3q8Pm9g3ng4vYEBbhGL7LzCnhi1iauf3UZSUcyHK5QRESk+lKwEBG/EhwYwJSL2zHzV4Pp2DjS074iKZXLnl/Em0uSNHohIiJSDgoWIuKXusRG8cWvhnDfyLYEukcvTuXm8+gXG7nx9WXsSc10uEIREZHqRcFCRPxWSFAA/ze6A5/fM5j2jWp72pftTGXMcwt5e1ky1mr0QkREpCwULETE73VrFsWXvx7CPfFtcA9ekJmTz58+38DNb6xg7zGNXoiIiJyPgoWICBAaFMhDl3Zkxj2DaduwaPRi8fYjXPrcIt5fsVujFyIiIuegYCEicpqezesy69dDuGt4a8/oxcnsPP4w40dumbaS/cdPOVugiIhIFaVgISJyhrDgQP5wWSc+vnsQrevX8rQv/OkwY55dyEer9mj0QkRE5AwKFiIipejTsh5fTRnKHUNbYdyjF+nZeTz0SSK/mL6Sg2lZzhYoIiJShShYiIicQ1hwII9c3pmP77qIuJgIT/v8rYe55JkFzFizV6MXIiIiKFiIiJRJ37hovp4yjFsHx3na0rLy+L+P1nPHW6s5lK7RCxER8W8KFiIiZRQeEsij47vwwZ0DaRFdNHrx3eaDjH52ITPX7dPohYiI+C0FCxGRCzSwdQzf3D+UWy5q6Wk7npnLlA/W8ct31nDkZLaD1YmIiDhDwUJEpBwiQoKYOrEr790xgGb1wj3t32w8wOhnFzIrcb+D1YmIiFQ+BQsRES8MalOfb+4fxs8GtPC0pWbk8Kv31nLvu2s4qtELERHxEwoWIiJeqh0axFNXduPt2/oTGxXmaZ/9Ywqjn13INxtSHKxORESkcihYiIj4yNB2DfjmgWFc17e5p+1oRg53v7OG+95fy7GMHAerExERqVgKFiIiPlQnLJi/XdOd6bf2o3GdotGLL9bv55JnF/LtpoMOViciIlJxFCxERCpAfIeGzHlgGNf0aeZpO3IymzveWsX/fbiOE5m5DlYnIiLiewoWIiIVJCo8mH9e24M3bulLw8hQT/uMtfu45NkFfL9FoxciIlJzKFiIiFSwUZ0aMfeBYVzZq6mn7VB6Nr+YvorffryeE6c0eiEiItWfgoWISCWoGxHCs9f15NWb+1C/dtHoxcer9zLm2YUkbD3kYHUiIiLeU7AQEalEo7s05tsHhjGhR6yn7UBaFpOnreT3nyaSnqXRCxERqZ4ULEREKlm9WiG8cEMv/ntTb2JqhXjaP1i5hzHPLmTRtsMOViciIlI+ChYiIg65tGsT5j4wjMu7NfG07T+Rxc1vrODhz37kZHaeg9WJiIhcGAULEREHxdQO5eWf9ealG3tRLyLY0/7e8t2MeXYhS7YfcbA6ERGRsvPLYGGMCTbGTDHGTDPGrDPG5BhjrDHmdi/2OcgY85UxJtUYk2mMSTTG3G+MCfRl7SJSM43rHsvcB4YzpksjT9u+46e48fXl/HnmBjI0eiEiIlWcXwYLoBbwHDAZaAwc8GZnxpiJwEJgGPAZ8DIQAjwLfODNvkXEfzSIDOW/N/Xh+et7EhVeNHrx1tJkLnt+Ect3HnWwOhERkXPz12CRCYwFYq21jYH/lXdHxpg6wGtAPhBvrb3NWvtboCewFLjGGHO99yWLiD8wxjCxZ1O+fWAYF3dq6GnfnZrJda8uY+qXGzmVk+9ghSIiIiXzy2Bhrc2x1n5trU3xwe6uARoAH1hrV532GlnAH92Lv/TB64iIH2lYJ4zXft6XZyb1oE5YkKd92g9JXPb8QlYmpTpYnYiIyNmCzr+JnMdI9/03JaxbiGt0ZJAxJtRam32uHRljVpeyqmN6ejoJCQnlr9IHnH59qTjp6emA+rgqigamDgxm2kZL4mHXSEXS0Uwm/Xcpo+OCuLpdCCGB5rz7UR/7B/Wzf1A/+wen+rnwdcvDL0csfKyD+/6nM1dYa/OAXbgCXOvKLEpEao56YQE80DuU27qGEO7+OsgCc5Ly+PMPp9h+XIdGiYiI8zRi4b0o9/2JUtYXttc9346stX1KajfGrI6MjOwdHx9/wcV5a8GCBZ7HTry+VI7Cb0PUx1XbCOC246f43aeJLNrmOg3tgUzLX5Znccew1jxwcXvCgks+EZ362D+on/2D+tk/ONXPkZGR5X5utR2xMMYkuU8RW9bbO06V6r63Dr2+iNQgsXXDeesX/fnrVd2oFeIKEQUWXlmwk3EvLmb9nuPOFigiIn6rOo9Y7ACyLmD7/RVUR+GIRFQp6+ucsZ2IiFeMMdzQvwVD29Xnd58m8sN212lotx86yVX/WcLdw1tz36h2hAbpMjoiIlJ5qm2wsNaOcroGt61AX6A9UGzytTEmCGgF5AE7K780EanJmtWL4J3bBvDu8t385avNZObkk19geXn+Dr7bdIh/XtuDbs1K+85DRETEt6rtoVBVyPfu+0tLWDcMiACWnO+MUCIi5WGM4aaBLZlz/zAGto72tG89mM4V//6BZ+ZuJSevwMEKRUTEXyhYlJExJsoY09EY0+SMVZ8AR4DrjTF9T9s+DHjSvfifSipTRPxU8+gI3rt9IFMndCHcPYE7v8DywvfbmfjyDySn6cxRIiJSsfw2WBhjfm+MmW6MmQ5c4W6+tbDNGHP7GU+5EtgM/PX0RmttGnAHEAgkGGNeN8b8HVgHXIQreHxYYW9ERMQtIMBwy6A4vp4ylH5x9Tztm1PSeHxpFjO355Cbr9ELERGpGH4bLHAdunSL+9bD3TbotLYhZd2RtfZzYDiuC+JdDfwayAX+D7jeWqszQolIpYmrX4sP7ryIP43rTGiQ6898voXPtudyxcs/sOVAmsMViohITVRtJ297y1obf4HbTwemn2P9D8BYr4oSEfGRwADDbUNaMaJDA377SSKrk48BsHF/GuNfXMyUUe24a3gbggP9+fslERHxJf2PIiJSg7VuUJuP7rqI6zqE4B68IDff8s+5PzHuhcWs2X3M2QJFRKTGULAQEanhAgMMl7UK5vFB4fRsXtfTvvVgOlf/ZwmPztxAelaucwWKiEiNoGAhIuInYmsH8MndF/HHyzt5zhxlLby5NJlLnlnI3I0HHK5QRESqMwULERE/EhQYwO1DWzP3gWEMb9/A034gLYs7317NbdNXMmfjAbJydXpaERG5MH47eVtExJ81j45g+q39+DIxhce/3MiRkzkAzNtyiHlbDhEZGsQlnRsxrkcThrRtQEiQvocSEZFzU7AQEfFTxhgm9IhlWLv6/OWrzXy0aq9nXXp2HjPW7mPG2n3UCQtiTJfGjOsRy6A2MTqTlIiIlEjBQkTEz9WNCOHv1/TgtiGtmbluH7MSU9idmulZn5aVx8er9/Lx6r3Uiwjm0q5NGNe9CQNbxxAYYBysXEREqhIFCxERAaBD40geurQjvx3TgQ370piVuJ9ZiSnsO37Ks82xzFzeX7Gb91fspn7tEC7r2oTLuzehX1y0QoaIiJ9TsBARkWKMMXRrFkW3ZlH8/rKOrNtznFmJKcxOTOFAWpZnuyMnc3h7WTJvL0umYWQoY7s1YXyPJvRqXo8AhQwREb+jYCEiIqUyxtCrRT16tajHI2M7sXr3MWat389XGw5wOD3bs92h9GymL0li+pIkYqPCGNvNNZLRs3ldjFHIEBHxBwoWIiJSJgEBhn5x0fSLi+bP47uwYlcqsxL3882GAxzNyPFst/9EFq8v3sXri3fRrF44l3dvwvjusXSJraOQISJSgylYiIjIBQsMMFzUJoaL2sQwdUIXlu10h4yNBzieWXQV773HTvHKgp28smAncTERjOsey+Xdm9CxcaRChohIDaNgISIiXgkKDGBIu/oMaVefJ67oyuLtR5idmMKcjQdIz8rzbJd0NJOX5m/npfnbadOgFuO6xzK+RxPaNox0sHoREfEVBQsREfGZ4MAARnRoyIgODXnqyq4s3naEWYkpfLvpICezi0LGjsMZPD9vG8/P20aHRpGM696EcT1iaVW/loPVi4iINxQsRESkQoQGBTKqUyNGdWpEVm4+C346zKzEFOZtPkhmTr5nu60H09n6bTr/+vYnOjepw7geTRjXLZYWMREOVi8iIhdKwUJERCpcWHAgY7o0ZkyXxpzKyef7LYeYlbif77ccIjuvwLPdppQ0NqWk8fdvttK9WRTjujdhbLcmNKunkCEiUtUpWIiISKUKDwnk8u6u09FmZOfx3eaDzEpMYcHWw+TkF4WMxL0nSNx7gr98tYVeLeq6Jn53a0LjqDAHqxcRkdIoWIiIiGNqhQYxsWdTJvZsSlpWLt9tcoWMRdsOk5tvPdut3X2ctbuP88SsTfSLq8e47rFc1q0xDSMVMkREqgoFCxERqRLqhAVzVe9mXNW7GScyc5mz6QCzElP4YfsR8guKQsbKpGOsTDrG1C83MqBVDON6NOHSLo2JqR3qYPUiIqJgISIiVU5URDCT+jZnUt/mpGbkMGfjAWYl7mfpjqMUZowCC0t3HmXpzqP8eeZGBrWJ4fJuTbi0a2PqRoQ4+wZERPyQgoWIiFRp0bVCuKF/C27o34LD6dl8s/EAs9bvZ0VSKtYdMvILLIu2HWHRtiP88fMNDGlXn3HdYxndpRF1woKdfQMiIn5CwUJERKqNBpGh3DywJTcPbMnBtCy++jGFWYkprE4+5tkmr8CSsPUwCVsPEzIjgGHtXSHj4s6NqB2q//ZERCqK/sKKiEi11KhOGLcObsWtg1ux//gpvvoxhS8TU1i/57hnm5z8Ar7bfIjvNh8iJCiAER0aMK57LKM6NSQiRP8Fioj4kv6qiohItRdbN5zbh7bm9qGt2ZOayewfU5idmMKP+054tsnJK2DOxoPM2XiQ8OBARnZqyLhuTRjRsSFhwYEOVi8iUjMoWIiISI3SPDqCu4e34e7hbUg6ksHsH1P4cv1+thxI92xzKjef2Ymu8FErJJCLOzfi8m5NGN6hAaFBChkiIuWhYCEiIjVWXP1a3DuiLfeOaMv2QyeZnZjCrMT9bDt00rNNRk4+M9ftZ+a6/USGBnFJl0aM696EIW0bEBIU4GD1IiLVi4KFiIj4hbYNazPl4nZMubgdWw+kMztxP7MSU9h5JMOzTXp2HjPW7GPGmn1EhQczpksjxnWP5aI2MQQHKmSIiJyLgoWIiPidDo0j6dC4Aw9c0p5NKWnukYwUdqdmerY5cSqXj1bt5aNVe6kXEcylXZswvnsTBrSOITDAOFi9iEjVpGAhIiJ+yxhDl9gousRG8dsxHfhx3wlPyNh3/JRnu2OZuby/Yjfvr9hN/dohXNa1CeO6N6FfXDQBChkiIoCChYiICOAKGd2b1aV7s7r8/rKOrN1znFnrU/jqxxQOpGV5tjtyMoe3lyXz9rJkGkaGMrZbE8b3aEKv5vUUMkTErylYiIiInMEYQ+8W9ejdoh5/vLwTq3cfY9b6/cz+8QBHTmZ7tjuUns30JUlMX5JEbFQYY7s1YVyPWHo0i8IYhQwR8S8KFiIiIucQEGDoFxdNv7ho/jy+C8t3HWV2YgpfbzhAakaOZ7v9J7J4ffEuXl+8i2b1wrm8exPGd4+lS2wdhQwR8QsKFiIiImUUGGAY1KY+g9rUZ+qELizdeZRZ61P4ZuMBTpzK9Wy399gpXlmwk1cW7CQuJoJx3WMZ16MJHRpFKmSISI2lYCEiIlIOQYEBDG3XgKHtGvDklV1ZvP0Is9anMHfTAdKz8jzbJR3N5KX523lp/nbaNKjFuO6xjO/RhLYNIx2sXkTE9yosWBhjQoGO7sWt1tqsc20vIiJSXQUHBjCiQ0NGdGhIdl5XFv10hFmJ+/l200EycvI92+04nMHz87bx/LxtdGwcyeXuORmt6tdysHoREd+okGBhjLkEeBeIAQxwyhjzPvCwtfZQRbymiIhIVRAaFMjFnRtxcedGZOXmk7D1MLMS9zNv8yFO5RaFjC0H0tlyIJ1/ffsTnZvUYVyPJozrFkuLmAgHqxcRKb+KGrF4CVgA/A7IAfoDU4A1xph+1tqUCnpdERGRKiMsOJBLuzbm0q6NyczJ4/sth5idmML3Ww6RnVfg2W5TShqbUtL4+zdb6dEsisu7N+Hy7rE0rRvuYPUiIhemooJFC+Bya+1O9/JeYIYx5m1coePqCnpdERGRKikiJMg1ibt7LCez85i3+SCzElNYsPUwOflFIWP93hOs33uCv3y1hd4t6jKueyxjuzWhcVSYg9WLiJxfRQWLH4FmwPYz2p8EVlfQa4qIiFQLtUODmNizKRN7NiUtK5fvNrlCxqJth8nNt57t1uw+zprdx3li9ib6tYxmXI8mXNq1MQ0jFTJEpOqpqGDxHvCaMeYya+3p4aIBcKyCXlNERKTaqRMWzFW9m3FV72acyMxlzqYDzEpM4YftR8gvcIUMa2FFUiorklJ57IuNDGgV4woZXRoTUzvU4XcgIuJSUcHiGff9JmPMl8BaIAC4AXiwgl5TRESkWouKCGZS3+ZM6tuc1Iwc5mw8wKzE/SzdcRR3xqDAwtKdR1m68yh/nrmRQW1iGNe9CaM7N3a2eBHxexUVLBoAvYCe7tv1QAf3ukeNMVcBiUCitXZWBdUgIiJSbUXXCuGG/i24oX8LDqdn882GFL5MTGFlUirWHTLyCyyLth1h0bYjPPzZBtrVNfRqGESb1EyaR+vsUiJSubwKFsaYCcAg4GVr7Z7CdmvtUeA7961w21CgG0VhYyzwEFDXmxpERERqugaRodx8URw3XxTHwbQsvvoxhVmJKaxOLjq6OL/AsiXVsiU1h/e3zKdj40hGd25EfMeGdGsaRXBggIPvQET8gbcjFvcAvYHHS1ppjDHWur5XsdZmA6vcNxERESmHRnXCuHVwK24d3Ir9x0/x1Y8pfPVjCmv3HPeMZEDRdTJe+H47ESGB9GlZjwGtounfKoYezaMIDQp07k2ISI3kbbDoDsy11maWsr6tMSYBeNBa+4GXryUiIiKnia0bzu1DW3P70NYcSs/i358vYs2hfLYcs+Scdp2MzJx8zyFTAKFBAfRqUZf+rWIY2CqaXi3qER6ioCEi3vE2WEQDyaWttNZuM8bsBSYDChYiIiIVpGFkGPHNg4lvHkzfi4aw8KfDzNt8iOW7jrL32Kli22bnFbBsZyrLdqbyAhAcaOjerK57RCOavnHR1A6tqGmYIlJTeftX4zDQ5DzbrAPGefk6IiIiUka1Q4MY260JY7u5/oved/wUy3ceZcWuVJbvSmXXkYxi2+fmW1YnH2N18jH+nbCDwABD19g6DGgdwwB30IgKD3birYhINeJtsFgCXG6MCbfWniplm+NAfS9fp0IYYwYBfwQGAmG4Luj3P+BFa21+GfcRB+w6xyYfWmuv97JUERGRcmtaN9xzrQyAQ2lZLN+VyvJdR1m+M5Vth04W2z6/wHquAP7qwp0YA50a12FA62gGtIqhf6toomuFOPFWRKQK8zZY/Ae4FphujPmZtTavhG26AOlevo7PGWMmAp8CWcCHQCowHngWGIzrfV2I9cDnJbRvKH+VIiIivtewThjje8QyvkcsAEdPZrMyyXVo1PJdqWw5kFZsIri1sCkljU0paUz7IQmA9o1qM6BVDANauw6f0tXARcSrYGGtTTDGvADcB7Q0xvzeWptQuN4Ycy1wGfCVV1X6mDGmDvAakA/EW2tXudv/BHwPXGOMuf4CJ5yvs9Y+5vNiRUREKlhM7VAu7dqES7u6Dp06kZnrutL3rqMs35XKhn0nPBfoK/TTwZP8dPAkby9zTbVsXb+WZ0RjQOtomkSFV/bbEBGHeT0zy1p7vzEmE9c1KeYZY47hmtDdEIgFCoCnvX0dH7sG10X83ioMFQDW2ixjzB+BecAv0YRzERHxQ1ERwVzSuRGXdG4EQHpWLquSj7nmaOw8SuLeE+SdkTR2Hslg55EM3l/huqxV8+hwV8ho5QobzaPDMcZU+nsRkcrjk1M+WGsfNsZ8BDwIjMZ11W1wHQb0e2vtD754HR8a6b7/poR1C4FMYJAxJtR9/Y2yiDXG3AXEAEeBpdbaRO9LFRERcVZkWDAjOjRkRIeGAGTm5LEm+bhrjsauVNbtOV7s9LYAe1JPsSd1L5+s3gtAk6gwz3U0BrSOpnX9WgoaIjWMsdaef6sL3anrKtvGWpvl8537gDFmJdAX6GutXV3C+g245oZ0ttZuPs++4ih98nYCcIu1dncZ6zqrFreO7dq1i3j11VfLshufWrBggefx8OHDK/31pXKkp7umQUVGRjpciVQU9bF/cKqfc/Itu04UsCU1n63H8tl+rICcgnM/p06IoUN0AB3qBdIxOpDY2oYABY0y0e+zf3Cqn++88062bdu2xlrb50KfWyEnqb6Ab/mdEuW+P1HK+sL2umXYVybwBK6J2zvdbd2Bx4ARuA4P62mtzSjx2SIiItVcSKChQ3QgHaJdF9nLK7AknShgy7F8tqYWsO1YPllnnGsxLcey8kA+Kw+4VtQOhvb1XPvoGB1A88gABQ2RaqbaXv3GGJMEtLyAp7xrrb2prLt33593OMdaewj48xnNC40xo4HFwADgduD5MuyrxGRojFkdGRnZOz4+/ny78LnTRyyceH2pHAkJCYD6uCZTH/uHqtrPefkFbEpJY/lO1yluV+xKJS2r+IkkT+bCmkP5rDnkChqRYUH0j3OdcWpA6xi6xtYhKDDAifKrnKraz+JbTvWzNyMk1TZYADtwnSq2rPaf9rhwRCKqpA2BOmdsd8GstXnGmNdxBYthlCFYiIiI1ERBgQF0b1aX7s3qcsew1hQUWLYcSPdcR2NFUiqpGTnFnpOelce8LYeYt+UQALVCAukTF+2eDB5N92Z1CQlS0BCpSqptsLDWjvLi6VtxzbFoDxSb12CMCQJaAXkUHdpUXofd97W83I+IiEiNERBg6Bxbh86xdbh1cCustWw7dNJ10b6drgnhh9OLH1WdkZPPwp8Os/An13+tYcEB9G5Rz3PBvl4t6hIWHOjE2xERt2obLLz0PfAz4FLg/TPWDQMigIU+mCsy0H3vbUARERGpsYwxtG8USftGkdw8sCXWWnYdyXCd3tYdNvafKH6QQlZuAUt2HGXJjqMAhAQG0LN5XfehU9H0blGPWqH++jFHxBn++hv3CfA34HpjzIunXSAvDHjSvc1/Tn+CMSYKaAKcsNamnNY+AFhrrc05Y/uRwAPuxXcq5F2IiIjUQMYYWjeoTesGtbm+fwustew9doplO496wsbu1Mxiz8nJL3Bd1C8plZfmQ1CAoWvTKAa0jmZgqxj6xNWjTliwQ+9IxD/4ZbCw1qYZY+7AFTASjDEfAKnABKCDu/3DM552JTANeBOYfFr734AuxpgEYK+7rTtF18r4k7V2SQW8DREREb9gjKF5dATNoyO4tm9zAFJOnGLFrlSWuSeE7zxc/OSLeQWWdXuOs27PcV5ZsJMAA51j63gu2te/VTR1I0KceDsiNZZfBgsAa+3nxpjhwCPA1UAYsB34P+AFW/YLfLyNK3T0Ay4DgoGDwEfAS9baRb6uXURExN81iQpnYs+mTOzZFIDD6dnu0QzXqMaWA+nFti+wsGFfGhv2pfHGYtflpzo2jnRNBm/tmqdRv3Zopb8PkZrEb4MFgPuK4GPLuO10YHoJ7W8Ab/i0MBEREbkgDSJDubx7Ey7v3gSAYxk5rkOj3GFj0/40Cs74ynDLgXS2HEjnzaXJALRtWNs1R6NVNANbx9CoTlhlvw2Ras2vg4WIiIjUTPVqhTCmS2PGdGkMQFpWLquSCieDp/LjvhPkn5E0th86yfZDJ3lv+W4AWsZEuE9v6xrRaB4dUenvQ6Q6UbAQERGRGq9OWDAjOzZiZMdGAGRk57E6+ZhnRGPdnuPk5hcPGslHM0k+mslHq1xTKJvWDffMzxjQOoa4mAiMrg4u4qFgISIiIn6nVmgQw9o3YFj7BgBk5eazZvcx1wX7dqWyZvcxsvMKij1n3/FTzFi7jxlr9wHQMDLUEzIGtoqmbcPaChri1xQsRERExO+FBQcyqE19BrWpD0B2Xj6Je0+4zzx1lNXJx8jMyS/2nEPp2cxKTGFWouss9NG1Qugf57qOxoBWMXRsHElAgIKG+A8FCxEREZEzhAYF0i8umn5x0dw7oi25+QVs3J/muTL4yl2ppGfnFXtOakYO32w8wDcbDwAQFR5Mv7ho95mnouncpA5BgQFOvB2RSqFgISIiInIewe4re/dsXpe7hrchv8CyOSXNc2XwFUmpHM/MLfacE6dy+W7zQb7bfBCA2qFB9I2r55kM3r1ZFMEKGlKDKFiIiIiIXKBA95W9uzaN4rYhrSgosPx0KN01Gdx90b4jJ3OKPedkdh4JWw+TsPUwAOHBgfRpWc8zIbxH87qEBQc68XZEfELBQkRERMRLAQGGjo3r0LFxHX5+URzWWnYczvCcdWr5zlQOpGUVe86p3HwWbz/C4u1HAAgJCqBX87ruoBFDh8aR1K8dognhUm0oWIiIiIj4mDGGtg1r07ZhbW4c0AJrLbtTMz3X0Vi+6yh7j50q9pycvALX+l2pwHYAIkODaNWgFq3qu25xMbXYcdA1tyNrw4HKfltSiTa6+3lQXgEhQdXjkDkFCxEREZEKZoyhZUwtWsbUYlLf5oDr9LUr3KMZy3elsutIxlnPS8/OI3HvCRL3njh7p2tXV3TZUgXcPiFfwUJERERESte0bjhX9mrGlb2aAXAoLYvlu1zX0Vi35zi7jmRw8owzT4lUZQoWIiIiIlVAwzphjO8Ry/gesQBYazlyModdRzLYefgku45ksOdYJgcOuiZ/169f38lypYIdOeKaexMcWH3m2ChYiIiIiFRBxhgaRIbSwH2F70IJCQkAxMf3dagyqQyF/RwRUn0+rlePA7ZERERERKRKU7AQERERERGvKViIiIiIiIjXFCxERERERMRrChYiIiIiIuI1BQsREREREfGagoWIiIiIiHhNwUJERERERLymYCEiIiIiIl5TsBAREREREa9Vn2uEi4hI9WUtFORBXrb7luW+ZUP+6W3Zxbc51zrPNjnFl/OyIC/n7P3n55ZcmzEQFAZBoeW/Dww9bflCnhsGAfqOT0RqBgULEZGazlpMQR4BBbmQcbSUD+zn+1Cfc54P86Xs7/R92AKnfxKly8+BbIdeOyDY+2Djftw4JYmCgGDYdOL8gabwcUCgQ29cRGoaBQsRkYpU0jf1ZfrAXso39CV+g3/mB/yz9ze88EP9Ymd/HFKCglzIyYWcdK931bHwweYLeFJA0AWOyJwjpFzISE3h40B9FBGpKfTbLCJSmoICSE+B48lwLNl1f2Iv5GaW/uG+pJGAqvxNfWUyAWd8qCz8YBlSwgfO09ed+1v64h98Q13PCQ4/bR+F7cGAObsum+8OYGf0W25hCDwjsOWeKnnE5pzt2WeHyLxsyDtV6d1wloI8yDnpujnBBJZ/pCYgyHUoG6boHoo/roHikpNcDwp+cLQOqViefh48wPU3rRpQsBARKXTqOOycD9u+gz3L4Phu1wfFGsASQEFAMIGhEa4P2sFhJXxwL+UDXLEP/qFnfGAPgaDTPsQHhRQ9Jzi8+Af/qvzNtFP/aVvrmvuRd+ocIeUch6udMV8lZW8SAQW5NIquc57RrFNFQQfrzHv3/AzyITfDdZMyiSt8kOxgEVLh4gof5P1DwUJEpMqzFg5tgm1zYdu3sHuZ60OOr5kA94fvkBI+sJfwLXzhB/+zDj8p7RCVkFL2X/ScBYtcx0DFx8f7/v1J+Rnj7rcQn+xua0ICAI3K2s+eYFPS3JjyjNSUNOJT2kiQRvREahoFCxHxL9npsHOBK0xs/w7S9p17+4gYqNsS6rV03ddtAWFRJYSC0j7UFx6CI1IF+TjYXLBic5DKMLpy5vqCXNc+sKcNvFh3W821K2kXAK3iWjlciVQkTz8HhTlcSdkpWIhIzWYtHNnmHpWYC8lLXB9GShPbC9qNhrYXQ8NOEBpZebWK+BtjXME7MBhCaztdTbWR7B6ZaqURyBrN08/BChYiIs7JyYSkRUVh4vju0rcNi4I2o6DdJa4wUbth5dUpIiJSgyhYiEjNcHSH69CmbXNh1yLXMdyladTNFSTajYZm/ar2pGIREZFqQv+bikj1lJsFyT+4Jl1vmwupO0rfNiQSWg+H9mNcoxJ1YiuvThERET+hYCEi1cfx3e4g8S3sWuC6nkRpGnQsGpVoPtC5yakiIiJ+QsFCRKquvBzX9SQKTwd7eEvp2wZHQKvh0O5iV5io26Ly6hQREREFCxGpYtL2u0LE9m9hRwLkpJe+bXQbV4hodwm0HOy69oOIiIg4QsFCRJyVnwd7VxaNShz8sfRtA0Oh1dCi08HGtKm8OkVEROScFCxEpPKdPFR0Bqcd30PWidK3rdvCPSoxGuKGQkhE5dUpIiIiZaZgISIVryAf9q8tuq7E/rWlbxsQDC0HFYWJ+u1cF9ESERGRKk3BQkQqRmYqbJ/nChLbv4NTqaVvGxlbdAan1sN1tWsREZFqSMFCRHyjoAAOJBZdV2LfKrAFJW9rAqHFwKIw0bCzRiVERESqOQULESm/U8dh5/yia0tkHCp921oN3UHiEmg9AsLrVlaVIiIiUgkULESk7KyFgxuLDm/avQxsfsnbmgBo2rfodLCNu0NAQOXWKyIiIpVGwUJEzi07HXYuKDodbPr+0reNiHGdBrbtJdB2FEREV16dIiIi4igFCxEpzlo48lPRGZySl0JBbunbx/YuGpWI7QUBgZVXq4iIiFQZChYiQkB+NnWP/wizv3SFieO7S984LArajHJfpG4U1G5YeYWKiIhIleX3wcIY0wx4HLgUiAFSgM+BqdbaY5W9H5FKc3SH5wxOQ3YuJMCeY1SiUTdoP9p1iFOzfhDo9386RERE5Ax+/enAGNMGWAI0BGYCW4D+wBTgUmPMYGvt0craj0iFys2C5MWwzX3F69QdnlVnTakOiYQ28e5RiYuhTmxlVioiIiLVkF8HC+DfuMLAfdbaFwsbjTHPAA8ATwF3V+J+RHzrWDJsd58KdtdCyM0sddOMiBbU6jkR2o2B5gMgKKQSCxUREZHqzm+DhTGmNTAaSAJePmP1o8CdwM3GmAettRkVvR8Rn8nNglX/gzVvwuEtpW8XHAGthkO7S1h6NJLssIbEx8dXWpkiIiJSs/htsABGuu/nWlv88sDW2nRjzA+4AsNAYF4l7EfEO/l5sO5dWPA3SNtX8jYxbYsOb2o5GILDAMhOSKi8OkVERKRG8udg0cF9/1Mp67fhCgTtOXcg8NV+MMasLmVVx5SUFKZOnXqup1c4p19fSmEtnfmJESyhPsXPE5BLIEk0Zzut2EYcx1LrwXJg+WJg8Vm7WrBgQeXULI5RH/sH9bN/UD/7h8ru55SUlHI/15+DRZT7/kQp6wvb61bSfkQuWEu7hzEsoAmHirWfJIJFDGANXckzwQ5VJyIiIv7En4PF+Rj3va2s/Vhr+5S4A9dIRm8v65AapqPdxjXMJpCiI/CyCOUH+rKcXuQaTb4WERGRyuPPwaJwJCGqlPV1ztiuovdzTk2aNOHRRx/1ZhflcvrhT068vpRi69fw4YtQ4A4VQeEw8G7CBt3HqIhoRl3g7hLccyw0ebvmUh/7B/Wzf1A/+wen+vmLL74o9+FQ/hwstrrv25eyvp37vrS5E77ej0jZ/DQXPvo5FLgvaBfdBm75AqKaOVuXiIiI+LWzrovlR+a770cbY4r9HIwxkcBg4BSwrJL2I3J+27+DD2+C/BzXcr1WMHmWQoWIiIg4zm+DhbV2BzAXiAPuPWP1VKAW8FbhtSeMMcHGmI7uq2yXez8i5bYzAT74GeRnu5brtnSFCl0VW0RERKoAfz4UCuAeYAnwgjFmFLAZGACMwHXo0iOnbdvUvT4ZV4go735ELtyuRfDe9ZCX5VqOaqGRChEREalS/HbEAjyjDX2B6biCwINAG+AF4CJr7dHK3I9IiZKXwHuTIO+Ua7lOM9ecirotnK1LRERE5DT+PmKBtXYPcGsZtkui6NSx5d6PyAXZvQzeuQZyM13LkbGuUBHdytm6RERERM7g1yMWIlXanpXuUOGenlO7EdzyJcS0OffzRERERBygYCFSFe1bDe9cBTnpruVaDeGWWVC/rbN1iYiIiJRCwUKkqtm/Dt6+ErLTXMsR9V2HPzUo7VIpIiIiIs5TsBCpSlIS4a2JkOW+UHt4tCtUNOzkbF0iIiIi56FgIVJVHNzoDhXHXcvh9VyholEXR8sSERERKQsFC5Gq4NBmeHMCnEp1LYdFwc2fQ+NujpYlIiIiUlYKFiJOO7wV3hwPmUdcy6F14ObPILano2WJiIiIXAgFCxEnHdnmChUZh13LIZFw0wxo2sfZukREREQukIKFiFOO7nCFipMHXcshteGmT6F5P2frEhERESkHBQsRJ6TucoWK9BTXcnAE/OxjaDHA2bpEREREyknBQqSyHd/tChVp+1zLQeFw40fQcpCzdYmIiIh4QcFCpDId3wPTx8GJPa7loDC48QNoNdTZukRERES8pGAhUllO7HONVBxPdi0HhsL170LreEfLEhEREfEFBQuRypCW4goVx3a5lgND4Lp3oO3FztYlIiIi4iMKFiIVLf2gK1Sk7nAtBwTDpLeg/Whn6xIRERHxIQULkYp08rArVBzd5loOCIJrp0GHy5ytS0RERMTHFCxEKkrGUXhrAhzZ6lo2gXD1G9BpvLN1iYiIiFQABQuRipCZCm9NhEObXMsmAK5+Dbpc4WhZIiIiIhVFwULE104dc4WKgz+6lk0AXPkqdL3a2bpEREREKpCChYgvnToOb18JBxLdDQYm/hu6X+tkVSIiIiIVTsFCxFeyTsA7V8H+tUVtE1+Cnjc4V5OIiIhIJVGwEPGF7HR45xrYt7qobfzz0Osm52oSERERqUQKFiLeyj4J714Le1cUtV3+L+gz2bGSRERERCqbgoWIN3Iy4L3rYPfSorbL/gH9bneuJhEREREHKFiIlFdOJrx/PSQvLmob8xcYcKdzNYmIiIg4RMFCpDxys+CDG2HXwqK2S56Ai+51riYRERERBylYiFyovGz48CbYOb+obdSjMPg+52oSERERcZiChciFyMuBD2+G7d8WtY14BIb+n3M1iYiIiFQBChYiZZWfCx9Phm1zitqG/w6GP+RYSSIiIiJVhYKFSFnk58Inv4Cts4vahj4I8X9wriYRERGRKkTBQuR88vNgxh2w+YuitsFTYOSfwBjn6hIRERGpQhQsRM6lIB8+uws2flbUNvBeuHiqQoWIiIjIaRQsREpTkA+f3wMbPilq638XjHlKoUJERETkDAoWIiUpKIAvfg2JHxS19b0NLvubQoWIiIhICRQsRM5UUACzpsC6d4va+kyGsf9UqBAREREphYKFyOmsha8ehDVvFbX1ugkufxYC9OsiIiIiUhp9UhIpZC18/RCs+l9RW48bYfyLChUiIiIi56FPSyLgChXf/AFWvFrU1m0STHxJoUJERESkDPSJScRamPtHWP6forauV8MV/4GAQOfqEhEREalGFCzEv1kL86bC0peK2jpPhCtfhcAg5+oSERERqWYULMS/zf8LLH62aLnjOLj6DYUKERERkQukYCH+K+FvsPDvRcvtL4NrpkFgsHM1iYiIiFRTChbinxb+AxL+UrTcbjRMehOCQpyrSURERKQaU7AQ/7P4Ofj+yaLlNqNg0tsQFOpYSSIiIiLVnYKF+JclL8F3jxYttxoO178LwWHO1SQiIiJSAyhYiP9Y9l+Y+0jRctxQuOEDCA53riYRERGRGkLBQvzDitfgm98VLbcYBDd+CCERztUkIiIiUoMoWEjNt2oafPWbouXmA+FnH0FILedqEhEREalh/D5YGGOaGWP+Z4zZb4zJNsYkGWOeM8bUu4B9JBljbCm3AxVZv5zHuvdh1v1Fy836wc8+htBIx0oSERERqYn8+ipgxpg2wBKgITAT2AL0B6YAlxpjBltrj5ZxdyeA50poP+mDUqU8Ns+CmfcWLcf2hps+hbA6ztUkIiIiUkP5dbAA/o0rVNxnrX2xsNEY8wzwAPAUcHcZ93XcWvuYzyuU8tmZAJ/cCjbftdyoG9w8A8KiHC1LREREpKby20OhjDGtgdFAEvDyGasfBTKAm40xOhC/utmzEt6/EfJzXMvRbVyhIrzMR7eJiIiIyAXy5xGLke77udbagtNXWGvTjTE/4AoeA4F5ZdhfqDHmJqAFrlCSCCy0tvAr8/MzxqwuZVXH9PR0EhISyrqrCuH065dFrZNJ9Fz3CMF5GQBkhcawtv3vyV61CdjkbHFVWHp6OlA9+ljKR33sH9TP/kH97B+c6ufC1y0Pfw4WHdz3P5WyfhuuYNGesgWLxsDbZ7TtMsbcaq1dUL4S5UKEZ6bQPfExgvNc01pyguuQ2P1xssMaOluYiIiIiB/w52BReLD9iVLWF7bXLcO+pgGLgI1AOtAa+BVwJ/C1MeYia+368+3EWtunpHZjzOrIyMje8fHxZSjFtxYsKMpETrx+maUfgDd+DTnHXMuhdQi55Uv6x/Z0tKzqovDbkCrdx+IV9bF/UD/7B/Wzf3CqnyMjy3/mTH8OFudj3Pf2fBtaa6ee0bQBuNsYcxJ4EHgMuNKn1Ulxsx+E47tdj4PCXBe/U6gQERERqTR+O3mbohGJ0k4TVOeM7crjv+77YV7sQ84naTFsmVW0POktaDnIuXpERERE/JA/B4ut7vv2paxv574vbQ5GWRxy3+vMUhWloADmPFK03G0StB/jXD0iIiIifsqfg8V89/1oY0yxn4MxJhIYDJwClnnxGhe573d6sQ85lw2fQMo61+OgMBj1Z0fLEREREfFXfhssrLU7gLlAHHDvGaun4hpleMtamwFgjAk2xnR0X63bwxjTxRgTfeb+jTEtgZfci+/4uHwByD0F3502vWXgPVC3uXP1iIiIiPgxf5+8fQ+wBHjBGDMK2AwMAEbgOgTqtGNsaOpen4wrjBS6Fvi9MWY+sAvXWaHaAJcDYcBXwD8r9F34q2X/hrS9rscR9WHIA87WIyIiIuLH/DpYWGt3GGP6Ao8DlwJjgRTgBWCqtTa1DLuZj+uaGL1wHfpUCzgOLMZ1XYu3rbXnPbOUXKCTh2HRs0XLI/4AYXVK315EREREKpRfBwsAa+0e4NYybJdE0SloT29fAOgCeJUt4a+Q474yZP0O0Huyo+WIiIiI+Du/nWMh1djhrbB6etHy6Ccg0O8zsoiIiIijFCyk+pn7J7D5rsethkG70c7WIyIiIiIKFlLN7EyAbXPcCwZGPwXmrCPURERERKSSKVhI9VGQD3P+WLTc80Zo0t25ekRERETEQ8FCqo/1H8DBH12PgyNg5B/Pvb2IiIiIVBoFC6kecjLg+yeKlgf9GurEOlePiIiIiBSjYCHVw5KXID3F9bh2Ixh0n7P1iIiIiEgxChZS9aUfgB+eL1oe+UcIre1cPSIiIiJyFgULqfq+fxJyM1yPG3aBnj9zth4REREROYuChVRtBzbA2neKlkc/AQGBztUjIiIiIiVSsJCqy1qY+0fAupbbXgxtRzlakoiIiIiUTMFCqq7t38HO+a7HJgBGP+lsPSIiIiJSKgULqZry89yjFW69fw4NOzlXj4iIiIick4KFVE1r34LDW1yPQ2pD/MPO1iMiIiIi56RgIVVPdjrM/0vR8uD7IbKRY+WIiIiIyPkpWEjVs/g5yDjsehwZCxfd62g5IiIiInJ+ChZStZzYC0tfKloe9WcIiXCuHhEREREpEwULqVrmPQF5Wa7HTXpA9+ucrUdEREREykTBQqqO/Wsh8YOi5dFPQYD+iYqIiIhUB/rUJlWDtTD3T0XLHcZCq6HO1SMiIiIiF0TBQqqGrV9D0iLX44AguORxZ+sRERERkQuiYCHOy8+Fb08brej7C6jfzrl6REREROSCKViI81ZNg6PbXY9D68Dw3zlbj4iIiIhcMAULcdap45Dw16LloQ9CrfqOlSMiIiIi5aNgIc5a9C84lep6HNUCBtztbD0iIiIiUi4KFuKcY8mw/L9Fyxc/CsFhztUjIiIiIuWmYCHOmTcV8nNcj5v2ha5XO1uPiIiIiJSbgoU4Y+8q2PBp0fKYp8AY5+oREREREa8oWEjlsxbmPFy03GkCtBjoXD0iIiIi4jUFC6l8m2bCnuWuxwHBcMlUZ+sREREREa8pWEjlysuB7x4tWu5/J0S3dq4eEREREfEJBQupXCtfg2NJrsdhdWHYb5ysRkRERER8RMFCKk9mKiz4e9Hy8N9BRLRz9YiIiIiIzyhYSOVZ+A/IOu56XK8V9Lvd0XJERERExHcULKRyHN0BK14rWr5kKgSFOFePiIiIiPiUgoVUju8ehYJc1+MWF7lOMSsiIiIiNYaChVS85KWw+cui5dG6GJ6IiIhITaNgIRWroADmPlK03PUaaNbHuXpEREREpEIoWEjF2jgD9q12PQ4MhVF/drYeEREREakQChZScXKz4LvTrqo98G6o19K5ekRERESkwihYSMVZ/h84sdv1OCIGhj7obD0iIiIiUmEULKRiZByBRc8ULcf/AcKinKtHRERERCqUgoVUjISnITvN9TimHfSZ7Gg5IiIiIlKxFCzE9w7/BKv+V7Q8+gkIDHauHhERERGpcAoW4nvf/hlsvutx3FBof6mz9YiIiIhIhVOwEN/atRB++tq9YGD0k7oYnoiIiIgfULAQ38nPgzmnXQyvx/UQ29OxckRERESk8vh1sDDGXGOMedEYs8gYk2aMscaYd8q5r2bGmP8ZY/YbY7KNMUnGmOeMMfV8XXeVlH4Q3r4CDiS6loPCYeSfHC1JRERERCpPkNMFOOyPQA/gJLAX6FienRhj2gBLgIbATGAL0B+YAlxqjBlsrT3qk4qroqTF8Mkv4OTBorYhD0BUU+dqEhEREZFK5dcjFsADQHugDvBLL/bzb1yh4j5r7RXW2t9ba0cCzwIdgKe8rrQqKiiAxc/Cm+NPCxXGdc2KYb91tDQRERERqVx+HSystfOttdustba8+zDGtAZGA0nAy2esfhTIAG42xtQqd6FVUWYqfHADfPcY2AJXW0QM3DwD4n8PAX79T0tERETE7/j7oVC+MNJ9P9fawk/YLtbadGPMD7iCx0BgXmUX55WZ9/Ib+2nR8t/fLHqcewpyM4uWmw+Aa6bp8CcRERERP6Vg4b0O7vufSlm/DVewaM95goUxZnUpqzqmp6eTkJBQrgLLq/PeXTTkVFFD5qkSt9vT7Ap2troZu3Ybrrcr1U16ejpApf8bk8qjPvYP6mf/oH72D071c+HrloeChfei3PcnSllf2F634kupXNkh9djW7i6ONLjI6VJERERExGEKFhWv8Opw553HYa3tU+IOjFkdGRnZOz4+3pd1nd/A3vzj6aJ557/9bfEJ2aHh9egaEFi5NUmFKPw2pNL/jUmlUR/7B/Wzf1A/+wen+jkyMrLcz1Ww8F7hiERUKevrnLFd9RFWh0wTUbRcq75ztYiIiIhIlaZT93hvq/u+fSnr27nvS5uDISIiIiJS7SlYeG+++360MabYz9MYEwkMBk4Byyq7MBERERGRyqJgUUbGmGBjTEf3VbY9rLU7gLlAHHDvGU+bCtQC3rLWZlRKoSIiIiIiDvDrORbGmCuAK9yLjd33FxljprsfH7HW/sb9uCmwGUjGFSJOdw+wBHjBGDPKvd0AYASuQ6Ae8X31IiIiIiJVh18HC6AncMsZba3dN3CFiN9wHtbaHcaYvsDjwKXAWCAFeAGYaq1N9VXBIiIiIiJVkV8HC2vtY8BjZdw2iaJTx5a0fg9wqy/qEhERERGpbjTHQkREREREvKZgISIiIiIiXlOwEBERERERrylYiIiIiIiI1xQsRERERETEawoWIiIiIiLiNQULERERERHxmoKFiIiIiIh4TcFCRERERES8Zqy1Ttcg52GMORoeHh7dqVOnSn/tlJQUz+MmTZpU+utL5UhPTwcgMjLS4UqkoqiP/YP62T+on/2DU/28efNmTp06lWqtjbnQ5ypYVAPGmF1AHSDJgZfv6L7f4sBrS+VRP9d86mP/oH72D+pn/+BUP8cBadbaVhf6RAULOSdjzGoAa20fp2uRiqN+rvnUx/5B/ewf1M/+oTr2s+ZYiIiIiIiI1xQsRERERETEawoWIiIiIiLiNQULERERERHxmoKFiIiIiIh4TWeFEhERERERr2nEQkREREREvKZgISIiIiIiXlOwEBERERERrylYiIiIiIiI1xQsRERERETEawoWIiIiIiLiNQULERERERHxmoKFiIiIiIh4TcHCzxhjmhlj/meM2W+MyTbGJBljnjPG1HNiP1IxvO0fY0yMMeZ2Y8xnxpjtxphTxpgTxpjFxpjbjDH621EFVMTvoTHmZmOMdd9u92W9Uj6+7GdjzFBjzKfGmBT3vlKMMXONMWMronYpGx/+33y5uz/3uv9u7zTGfGyMuaiiapeyMcZcY4x50RizyBiT5v4b+04591VlP4Ppytt+xBjTBlgCNARmAluA/sAIYCsw2Fp7tLL2IxXDF/1jjLkb+A+QAswHdgONgKuAKOBT4FqrPyCOqYjfQ2NMc+BHIBCoDdxhrX3dl3XLhfFlPxtj/gg8ARwBZuH6/a4P9ALmW2sf8vkbkPPy4f/NfwMeAo4Cn+Pq57bABCAI+Lm1tlwfZMV7xph1QA/gJLAX6Ai8a6296QL3U7U/g1lrdfOTGzAHsMCvz2h/xt3+38rcj25Vt5+BkcB4IOCM9sa4QoYFrnb6vfrzzde/h4ABvgN2AP9w7+N2p9+nv998+Hf7Wvf23wKRJawPdvq9+uvNR3+zGwP5wAGg4RnrRrj3s9Pp9+rPN3c/tHP/rY1398k7Tvx7qcibRiz8hDGmNa4PDElAG2ttwWnrInF9c2Vw/UHKqOj9SMWojP4xxjwMPAW8ZK39tddFywWriH42xkwBnsX1H95I4FE0YuEoH/7dDgC24xp1jLPWHq7IuqXsfNjHA4BlwBfW2oklrE/DdZRKpG/fgZSHMSYe19EAFzRiUR0+g+k4af8x0n0/9/R/iADW2nTgByACGFhJ+5GKURn9k+u+z/NiH+Idn/azMaYT8DTwvLV2oS8LFa/4qp8HAa2Ar4Bj7uPwf2eMmaJj7x3nqz7eBuQA/Y0x9U9fYYwZBkTiGpGU6q3KfwZTsPAfHdz3P5Wyfpv7vn0l7UcqRoX2jzEmCPi5e/Gb8uxDfMJn/ezu07dxHeL2sPeliQ/5qp/7ue8PAmtwza94GngOWGKMWWCMaeBFnVJ+Pulja20q8Dtco1KbjDGvGmP+aoz5CJiL6xC4u3xQrziryn8GC3LqhaXSRbnvT5SyvrC9biXtRypGRffP00BX4Ctr7Zxy7kO858t+/jOuybtDrLWnvKxLfMtX/dzQfX83sAu4GFgOtAT+BYwBPsZ1GJxULp/9LltrnzPGJAH/A+44bdV2YLq19lA5a5Sqo8p/BtOIhRQy7ntvJ934aj9SMcrdP8aY+4AHcZ2B4mZfFiU+V6Z+Nsb0xzVK8S9r7dIKr0p8ray/z4GnbX+NtXaetfaktXYjcCWuM9QM12FRVVKZ/2YbYx4CPgGmA22AWkAfYCfwrjHm7xVUo1Qdjn8GU7DwH4UpNqqU9XXO2K6i9yMVo0L6xxhzL/A8sAkY4R52F+d43c+nHQL1E/An35UmPuSr3+dj7vud1tr1p69wj1IVjj72v+AKxVs+6WP3ZOC/4Zq8/X/W2p3W2kxr7Rpc4XEf8KB78q9UX1X+M5iChf/Y6r4v7bi7du770o7b8/V+pGL4vH+MMfcDLwEbcIWKA+WuTnzFF/1c2/38TkDWaRfFs7jOCAXwmrvtOW8LlnLx9d/t46WsLwwe4WUrS3zIV308zn0//8wV1tpMYAWuz3y9LrRAqVKq/GcwzbHwH4V/bEYbYwJKOEXZYOAUrtPVVcZ+pGL4tH+MMb/DNa9iHXCJtfaIb8uVcvJFP2cDb5SyrjeuDyCLcf1HpsOknOGr3+eFuM7i1s4YE2KtzTljfVf3fZL3JcsF8lUfh7rvS5uEX9h+Zt9L9VLlP4NpxMJPWGt34DozRBxw7xmrp+I6FvOtwvMeG2OCjTEd3Vd4LPd+pHL5qp/d6/6EK1SsBkYpVFQdvuhna+0pa+3tJd2AL9ybvelu+7DC35ScxYd/t48AH+I6fOLPp68zxlyCa/L2CXSmt0rnw7/Zi9z3dxpjmp6+whhzGa4PnFm4rtgsVVx1/gymC+T5kRIuA78ZGIDrapA/AYOs+zLwxpg4XGcPSbbWxpV3P1L5fNHPxphbcE0AzAdepOTjNZOstdMr6G3Iefjq97mUfT+GLpBXJfjw73ZDXOe4b4vrQ+gKXGeFuhLXRM8brbUfV/w7kjP56G92AK65MhcD6cBnuK7C3QnXYVIGuN9a+3ylvCk5izHmCuAK92JjXIF+J0Wh8Ii19jfubeOorp/BKuJy3rpV3RvQHJiG6+qMOUAyrkm50WdsF4frP5skb/ajW/XsZ+Axd/u5bglOv09/v/nq97mE/Rb2/+1Ov0fdfPp3Oxp4BtcHlhzgKK4PJgOdfo/+fvNFHwPBwP24DoNJw3X42yFc1y0Z7fR79PdbGf5fTTpt22r7GUwjFiIiIiIi4jXNsRAREREREa8pWIiIiIiIiNcULERERERExGsKFiIiIiIi4jUFCxERERER8ZqChYiIiIiIeE3BQkREREREvKZgISIiIiIiXlOwEBERERERrylYiIiIiIiI1xQsRERERETEawoWIiIiIiLiNQULERERERHxmoKFiIjUKMaYa40x2caYlqe1PW+M2WGMaeRkbSIiNZmx1jpdg4iIiM8YYwywElhrrb3DGPMb4CFgsLV2m7PViYjUXEFOFyAiIuJL1lprjHkYmG2M2QE8AoxUqBARqVgasRARkRrJGLME6A+Mt9Z+7XQ9IiI1neZYiIhIjWOMGQn0AAxw0OFyRET8gkYsRESkRjHG9AAWAP8HXA7UttaOcbYqEZGaT8FCRERqDPeZoJYAr1hrHzfGdAUScc2xSHC0OBGRGk7BQkREagRjTDTwA7DQWnvXae0fAi2stRc5VpyIiB9QsBAREREREa9p8raIiIiIiHhNwUJERERERLymC+SJiEiNYYwp0/G91lpT0bWIiPgbzbEQERERERGv6VAoERGpcYwxMcaY/xhjDhhjsowxG4wxo52uS0SkJtOhUCIiUqMYY5oBy4BVwFXAIWAIkOZkXSIiNZ0OhRIRkRrFGDMbMMDlVv/JiYhUGo1YiIhIjWGMaQGMBfopVIiIVC7NsRARkZqkF5AHrHa6EBERf6NgISIiNUkurtH4SKcLERHxNwoWIiJSkywHjgH/NcZ0McZ0NMbcbozp4XRhIiI1nYKFiIjUGNbao8B4oCWuM0MtA64DDjpZl4iIP9BZoURERERExGsasRAREREREa8pWIiIiIiIiNcULERERERExGsKFiIiIiIi4jUFCxERERER8ZqChYiIiIiIeE3BQkREREREvKZgISIiIiIiXlOwEBERERERrylYiIiIiIiI1xQsRERERETEawoWIiIiIiLiNQULERERERHxmoKFiIiIiIh4TcFCRERERES8pmAhIiIiIiJe+3+/3K5jkG9w6AAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "image/png": { "height": 265, "width": 395 }, "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "c_l of 0.8849876037260522, alpha of 10\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 265, "width": 395 }, "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "c_l of 1.0157854977675551, alpha of 12\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 265, "width": 395 }, "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "c_l of 1.1360093978299544, alpha of 14\n" ] } ], "source": [ "alphas = np.array([-4, -2, 0, 2, 4, 6, 8, 10, 12, 14])\n", "\n", "for a in alphas:\n", " filename = f\"{a}_deg.csv\"\n", " cl = c_l(a)\n", " first = pd.read_csv(filename)\n", " c, b = first.columns\n", " pressures = pressure_from_readings(first[b])\n", " upper_interp, lower_interp, upper_cp, lower_cp = interpolate_both(pressures)\n", " plt.figure()\n", " x=np.linspace(0, 1, 100)\n", " \n", " plt.plot(x, lower_cp, label = \"upper surface\")\n", " natplotlib([x, r\"$\\frac{x}{c}$\"], [upper_cp, r\"$c_p$\"],\"lower surface\")\n", "\n", " \n", " plt.gca().invert_yaxis()\n", " plt.show()\n", " print(f\"c_l of {cl}, alpha of {a}\")" ] }, { "cell_type": "markdown", "id": "6da7ce18", "metadata": {}, "source": [ "the cell below shows the lift curve slope" ] }, { "cell_type": "code", "execution_count": 31, "id": "93c34f43", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "gradient of the lift curve slope is 0.3190750176847387\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 263, "width": 401 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "alphas = np.array([-4, -2, 0, 2, 4, 6, 8, 10, 12, 14])\n", "alphas_r = np.radians(alphas)\n", "cls = [c_d(a) for a in alphas]\n", "\n", "\n", "plt.plot(alphas, [np.radians(a)*2*np.pi for a in alphas], label = \"predicted\")\n", "natplotlib([alphas, r\"$\\alpha$ (degrees)\"], [cls, r\"$C_L$\"], \"observed data\")\n", "\n", "max_i = 10\n", "\n", "gradient = np.mean(np.gradient(cls[:max_i],alphas_r[:max_i]))\n", "print(f\"gradient of the lift curve slope is {gradient}\")" ] }, { "cell_type": "markdown", "id": "14d953cc", "metadata": {}, "source": [ "$\\frac{dc_l}{d\\alpha}$ seems a bit low because thin airfoil theory states that $c_l = 2\\pi\\alpha$" ] }, { "cell_type": "code", "execution_count": 21, "id": "169f056f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "110049.30925869581" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 248, "width": 380 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "filename = \"4_deg.csv\"\n", "first = pd.read_csv(filename)\n", "a, b = first.columns\n", "\n", "pressures = pressure_from_readings(first[b])\n", "\n", "upper_interp, lower_interp, upper_cp, lower_cp = interpolate_both(pressures)\n", "plt.plot(upper_cp)\n", "plt.plot(lower_cp)\n", "plt.plot(lower_cp - upper_cp)\n", "upper_cp\n", "u=U_inf(pressures, rho)\n", "\n", "def find_re(u, c, nu):\n", " return u*c/nu\n", "\n", "find_re(u, 0.063, (1.825e-5)/rho)" ] }, { "cell_type": "code", "execution_count": null, "id": "677fe251", "metadata": {}, "outputs": [], "source": [ "c_l(-2)+c_l(2)" ] }, { "cell_type": "code", "execution_count": 26, "id": "afdf1619", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0157854977675551" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c_l(12)" ] }, { "cell_type": "code", "execution_count": null, "id": "b7b1dfb1", "metadata": {}, "outputs": [], "source": [ "c_l(-4) + c_l(4)" ] }, { "cell_type": "code", "execution_count": null, "id": "501b98e2", "metadata": {}, "outputs": [], "source": [ "a, b = pressure_distribution(8)\n", "plt.plot(a)\n", "plt.plot(b)" ] }, { "cell_type": "code", "execution_count": 35, "id": "c185ecae", "metadata": {}, "outputs": [], "source": [ "cds = [c_d(i) for i in alphas]\n" ] }, { "cell_type": "code", "execution_count": 41, "id": "cd240f4e-4707-476c-a8fc-6aa59ff55e49", "metadata": {}, "outputs": [], "source": [ "cls = np.array([c_l(i) for i in alphas])\n", "cds = np.array([c_d(i) for i in alphas])\n", "ratio = cls/cds" ] }, { "cell_type": "code", "execution_count": 46, "id": "00a65c18-9170-4690-a79a-f1690df3cd13", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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/Kr19JsZYvf2OGOMG4GWgM3BwBh6rMSrS28pWflxJkqR2Z2NZJTc8M7umfdkRQ9mjW8cEK2o/MnHKzdavXrPr2T+H1Aj+CODZDDzeLoUQ9gSOBjYDLzbwPlPr2eX1iSVJknbh1n/OZeXGMgD6devIlz+xd8IVtR+ZCPTd09t19ezfenuPDDzWLoUQOgD3AR2Ab8QY17TG40qSJLVXS9Zu4bYXP6hpf/3YkXQqyk+wovYlU5Nid2brtOYGnRffrAcKIR+4BzgMeAC4oaH3jTGOr6fPqcC4jBQoSZKUg37+t1mUVabOvN5vYDdOGzsw4Yral0ycQ791BL57Pfu71TquRaTD/L3AWcCDwLkNnVwrSZKkppm2cC2Pvbm4pv2dE/chL89lKltTJgL9rPR2RD37h6e39Z1j32whhALgD8DngfuBc2KMToaVJElqQTF+fJnKY/bZg4P37p1gRe1TJgL91rXijwkhfKy/EEJXUqe/bAFezcBj7SCEUAQ8TGpk/m7gvBhjVUs8liRJkrb523sf8fq81QAU5AW+fcLohCtqn5od6GOMc4FngCHAFbV2Xwd0Ae6OMW4CCCEUhhBGpa8u2yzpCbCPAacAdwAX1V46U5IkSZlXVlnFT56aWdM+/5Ah7LX7Li87pBaQqUmxlwOTgRtDCEcDM4BJwJGkTrW5drtjB6b3zyf1JaBGCOFU4NR0s196e0gI4c70n1fGGL+23V1uAU4AVgKLge/WcWnhF2KMLzTpWUmSJKlO97wyn/mrNgPQvVMhVx49LOGK2q+MBPoY49wQwgTgB8BxpEL2UuBG4LoY4+oGdnUgcEGt2/ZO/0DqS8D2gX6v9HZ34Ls76feFBj6+JEmSdmHNpnJufHZOTfvKo4fTo3NRghW1bxlbtjLGuBC4qAHHzWPbUpa1930f+H4jHvNTDT1WkiRJmfGrZ+ewvjS1/siQ3p057+A9E66ofcvEpFhJkiS1Ex+s2Mi9r86vaX/7hNEUFRgpk+SrL0mSpAb7yVMzqaxOXepn0l69OGafPRKuSAZ6SZIkNcjkuSv5+/RlNe3vnLgPdSxIolZmoJckSdIuVVVHfvTXbReROn3cQPYv7p5gRdrKQC9JkqRderRkEdOXrgegY2EeXz92ZMIVaSsDvSRJknZqc3klNzwzq6Z96Sf2pn/3TglWpO0Z6CVJkrRTt734AcvWlwHQp2sHvnLE0IQr0vYM9JIkSarXR+tKufWfH9S0v37MSLp0yNiljJQBBnpJkiTV64ZnZrGlogqA0f27ccb44oQrUm0GekmSJNXp3cXreKRkUU37OyeOJj/PZSrbGgO9JEmSdhBj5PonZhBT15Di6FF9OWzY7skWpToZ6CVJkrSDf8xYzisfrAIgPy/w7RNGJ1yR6mOglyRJ0sdUVFXzkye3XUTq3EmDGdZ3twQr0s4Y6CVJkvQx9706nw9WbgKga8cCrvr0iIQr0s4Y6CVJklRj3eYKfvnsnJr2vx81jF5dihKsSLtioJckSVKNm56bw9rNFQAM6tWJCw4dkmxB2iUDvSRJkgCYv2oTd70yr6b97eNH06EgP7mC1CAGekmSJAHw06dmUlGVWqdywp49OX6/fglXpIYw0EuSJInXP1zNU+9+VNO+9sTRhOBFpLKBgV6SJKmdq66O/OiJ6TXtUw4cwNjBPROsSI1hoJckSWrn/jxtCW8vWgdAUUEeXz92ZMIVqTEM9JIkSe3YlvIqfvb0zJr2JYfvRXHPzglWpMYy0EuSJLVjd/zrA5auKwVg992K+OqnhiZckRrLQC9JktROvbt4Hf/3/Ps17f/8zEi6dixMsCI1hYFekiSpHVq+vpRL7ppCaUU1AKP6deXsCcUJV6WmMNBLkiS1M6UVVXz5nql8tD51qk3XjgX83znjKMg3GmYj/9YkSZLakRgj33j4baYtXAtAfl7g1+eMY1jf3ZItTE1moJckSWpHfv38+/x52pKa9n+fOJpPjuiTYEVqLgO9JElSO/H0u0u54ZnZNe1zJg3mgkOHJFeQMsJAL0mS1A68u3gdVz8wraZ9yN69ue7kfQkhJFiVMsFAL0mSlOOWbyjly3dPYUtFFQB79u7MzV8cR6GTYHOCf4uSJEk5rLSiikvvnlpz8aiuHQq444IJ9OxSlHBlyhQDvSRJUo6KMfLNR97mrfSKNnkBbjpnLMP6dk22MGWUgV6SJClH3fzCXB5/a9uKNt85cR8+NbJvghWpJRjoJUmSctDT737Ez/82q6b9hYmDueiwIckVpBZjoJckScox7y1Zx9UPvFXTPnjvXvzgFFe0yVUGekmSpByyfEMpX77r4yva/OaL413RJof5NytJkpQjSiuq+Mo9U1niijbtioFekiQpB8QY+faj7/DmgrWAK9q0JwZ6SZKkHPCbf87lsTcX17SvdUWbdsNAL0mSlOWeee/jK9p8/qBBfMkVbdoNA70kSVIWm75kPf/xwFvEmGpP2qsXPzhlP1e0aUcM9JIkSVlqxYYyLrnrDTaXp1a0GdyrM785dzxFBUa89sS/bUmSpCyUWtFmSs2KNrt1KOC3F0yglyvatDsGekmSpCwTY+SaR9+hpNaKNiP2cEWb9shAL0mSlGVu+ecHPLrdijbXnDCaI13Rpt0y0EuSJGWRv09fxv/728ya9ucmDOLiw/dKsCIlzUAvSZKUJWYsXc9Vf3yzZkWbiXv14oenuqJNe5exQB9CKA4h/C6EsCSEUBZCmBdC+GUIoWcj+jgzhHBTCOGlEML6EEIMIdzbgPsdGkJ4MoSwOoSwOYTwdgjhP0II+c17VpIkSW3Dyo1lXHLXlJoVbQb16sQtrmgjoCATnYQQhgKTgb7A48BMYCJwFXBcCOGwGOOqBnT1HWAMsBFYBIxqwGOfAjwClAIPAKuBk4BfAIcBZzX2+UiSJLUlZZVVXHbPVBav3QKkVrS544KDXNFGQOZG6G8mFeavjDGeGmP8VozxKFKheiRwfQP7uRoYAXQDvrqrg0MI3YDbgSrgUzHGi2OMXwcOBF4BzgwhfL6xT0aSJKmtSK1o8y5T5q8BIAS48QsHuqKNajQ70IcQ9gaOAeYBv661+3vAJuC8EEKXXfUVY3w+xjgnxq1nhu3SmUAf4I8xxinb9VNKarQfGvDFQJIkqa267cUPeKRkUU37muNHc9SoPRKsSG1NJk65OSq9fSbGWL39jhjjhhDCy6QC/8HAsxl4vLoe++k69r0IbAYODSF0iDGW7ayjEMLUenbt8rQfSZKklvD36cv46dPbVrQ5a3wxl3zCFW30cZk45WZkeju7nv1z0tsRGXisBj92jLES+JDUl5a9W+CxJUmSWszMj9bzH9utaHPQkJ786DRXtNGOMjFC3z29XVfP/q2398jAY7XYY8cYx9d1e3rkflyjK5MkSWqilRvLuPjOKWxKr2hT3DO1ok2HAhfw045aY52jrV8jG3pefK48tiRJUqPVXtGmS1E+d1xwEL1365BwZWqrMhHot46Cd69nf7dax2VSko8tSZKUUTFGrn2s9oo2YxnZzxVtVL9MBPpZ6W1958gPT2/rO8e+RR47hFAA7AVUAh+0wGNLkiRl1O0vfcDDU7etaPPt40dx9GhXtNHOZSLQP5/eHhNC+Fh/IYSupC7utAV4NQOPVdtz6e1xdez7JNAZmLyrFW4kSZKS9uyMZfzkqY+vaPPlT7iuh3at2YE+xjgXeAYYAlxRa/d1QBfg7hjjJoAQQmEIYVT66rLN9TCwEvh8CGHC1htDCB2BH6Wbv8nA40iSJLWYWR9t4Mo/uKKNmiYTq9wAXA5MBm4MIRwNzAAmAUeSOtXm2u2OHZjeP5/Ul4AaIYRTgVPTzX7p7SEhhDvTf14ZY/za1uNjjOtDCF8mFexfCCH8EVgNnExqScuHgQcy8QQlSZJawqqNZVx81xs1K9oM7NGJ37iijRohI4E+xjg3PUL+A1Knv5wALAVuBK6LMa5uYFcHAhfUum1vtq0jPx/42vY7Y4x/CiEcQepLwxlAR+B94D+BGxtx1VlJkqRWVV5ZzVfvLWHRmu1WtLlwAru7oo0aIVMj9MQYFwIXNeC4eWxbTrL2vu8D32/CY79M6kuEJElSVkitaPMOr89LjXuGAL/6/FhG9eu2i3tKH9ca69BLkiSplt++9CEPbbeizTePG8Wn93FFGzWegV6SJKmVPTdzGT9+akZN+/RxA/nKJ13RRk1joJckSWpFs5dt4Mo/vFWzos34PXvyk9P3d0UbNZmBXpIkqZWs3lTOxXe9wcaySiC1os2t57mijZrHQC9JktQKyiuruezeqSxcnVrRpnNRPr+9wBVt1HwGekmSpBYWY+S///Qur3/48RVtRvd3RRs1n4FekiSphd3xrw95YMrCmvY3jh3FZ1zRRhlioJckSWpBz89azo+f/PiKNpcd4Yo2yhwDvSRJUguZs2wDV97/JtXpFW3GDe7Bj09zRRtlloFekiSpBaRWtJnCho+taDOBjoWuaKPMMtBLkiRl2NYVbRas3gykVrS5/fwJ9OnqijbKPAO9JElSBsUY+e7j21a0AfjF5w5knwGuaKOWYaCXJEnKoN+9PI8/vrFtRZuvHzuSY/ftl2BFynUGekmSpAx5ftZyrn9iek37tLEDufxTQxOsSO2BgV6SJCkD3l/+8RVtxg7uwU9Od0UbtTwDvSRJUjOtqbWizYDuHbnNFW3USgz0kiRJzVBeWc1X75vK/FWpFW06FeZz+wWuaKPWY6CXJElqohgj3/vze7z6wcdXtNl3QPcEq1J7Y6CXJElqojsnz+MPry+oaX/92JEct58r2qh1GeglSZKa4IVZy/nhX7etaHPqgQNc0UaJMNBLkiQ10vvLN/Dv261oc+CgHvz0jANc0UaJMNBLkiQ1Qu0Vbfp378ht5493RRslxkAvSZLUQBVVdaxoc/4E+nbtmHBlas8M9JIkSQ1Q94o2Y9hvoCvaKFkGekmSpAa4a/I87n9t24o2XztmBMft1z/BiqQUA70kSdIuvDh7BT/YbkWbUw4cwBVHDkuwImkbA70kSdJOvL98I1fcX1Kzos2YQT34mSvaqA0x0EuSJNVj7eZyLrnrDTaUblvR5vbzXNFGbYuBXpIkqQ4VVdVcfl8J89Ir2nQszEutaNPNFW3UthjoJUmS6nDdX95j8txVNe1fnH2gK9qoTTLQS5Ik1XL3K/O499VtK9r852dGcPz+rmijtslAL0mStJ2X5qzgur9sW9HmpDED+PejXNFGbZeBXpIkKW3uio1cfl8JVeklbcYUd+fnZ7qijdo2A70kSRJbV7SZUrOiTb9uHbnt/AmuaKM2z0AvSZLavYqqaq64v4QPV24Ctq1os4cr2igLGOglSVK794O/TOfl97etaPM/Zx3I/sWuaKPsYKCXJEnt2j2vzOOeV+fXtK/+9AhOPMAVbZQ9DPSSJKnd+teclXx/uxVtPntAf6482hVtlF0M9JIkqV36YMVGLr9vas2KNgcUd+eGs8a4oo2yjoFekiS1O+s2V3DJXVNYn17RZo9uHbjdFW2UpQz0kiSpXdm6os0HrmijHGGglyRJ7cr1T8zgX++vrGnfcNYYDijukVxBUjMZ6CVJUrvx0JSF3Dl5Xk37qqOH89kDBiRXkJQBBnpJktQuvLVwLdf+6d2a9nH79uOqo4cnWJGUGQZ6SZKU85ZvKOWye6ZSXlkNwMg9uvI/Z48hL88VbZT9DPSSJCmnlVdWc8V9JXy0vhSAbh0LuO388XTpUJBwZVJmGOglSVJO+8Ff3+ONeWsAyAtw0znj2LN3l4SrkjInY4E+hFAcQvhdCGFJCKEshDAvhPDLEELPluwnhNAhhHBFCOH1EMLKEMLGEMKMEMKNIYQ9M/PsJElSNvrj6wu499UFNe1vHDeKI0b0SbAiKfMy8n9NIYShwGSgL/A4MBOYCFwFHBdCOCzGuCrT/YQQCoBngcPSx/4BKAMOAv4dOD+EcGiMcTqSJKldmTp/Dd99/L2a9mcP6M9XPrl3ghVJLSNTJ4/dTCqEXxljvGnrjSGE/wWuBq4HLmuBfk4jFeafBY6JMVZvd5/rgO8CXwO+1LSnJUmSstGy9aV89d6plFelosGofl35f2ceQAhOglXuafYpNyGEvYFjgHnAr2vt/h6wCTgvhLDTk9Wa2M/Wr9lPbB/m0x5Pb/1/NUmS2pGyyiouu3cqyzeUAdCjcyG3nz+BzkVOglVuysQ59Eelt8/UDtUxxg3Ay0Bn4OAW6Gfr/6MdH0Ko/Vw+m97+Y5fPQJIk5YQYI997/D3eXLAWSE2C/fU54xjUq3OyhUktKBNfVUemt7Pr2T+H1Mj7CFKnxmSynyeAR4HTgXdCCP8AyoHxwOHATcD/7fopQAhhaj27RjXk/pIkKXn3vbaAP76xsKZ9zQmjOWzY7glWJLW8TAT67untunr2b729R6b7iTHGEMKZpM6V/29gn+2Ofxa4P8ZYtYvHlSRJOeD1D1fz/T9vmwR76oEDuPjwvRKsSGodrXEy2dbZJzHT/YQQOgJ3A8cDV5A6b34zqYmyNwIvhhDOijE+zi7EGMfX+aCpkftxzStdkiS1pKXrtnD5fVOprE7FhP0GduOnZzgJVu1DJs6h3zpy3r2e/d1qHZfJfr4FnAVcG2O8Ncb4UYxxfYzxKeBMoBD41S4eV5IkZbHSiiouu2cqKzeWA9C7SxG3njeBjoX5CVcmtY5MBPpZ6e2IevYPT2/rOze+Of1snfj6fO2DY4zTgNXAniGE3rt4bEmSlIVijFz72LtMW5Qa78vPC/zfOeMY2KNTwpVJrScTgX5rmD6m9kozIYSupE5/2QK82gL9dEhvd1iaMoTQgW2j+uW7eGxJkpSF7po8j0dKFtW0//vE0Rwy1HE8tS/NDvQxxrnAM8AQUuexb+86oAtwd4xxE0AIoTCEMCp9Vdgm95P2Unp7TTrAb+/7pOYIvJFe9lKSJOWQV+au4odPzKhpnzm+mAsOHZJcQVJCMjUp9nJgMnBjCOFoYAYwCTiS1Cky12537MD0/vmkwntT+4HUlWNPAo4GZoYQniY1in8YMDH956sy8gwlSVKbsXjtFq64v4Sq9CTYMcXd+dGp+zkJVu1SJk652Tq6PgG4k1QA/y9gKKmVZg6JMa5qiX5ijItJrUDzP0ApcBHwb0C/dB/jYoyvNOvJSZKkNmVLeRWX3j2F1ZtSZ9TuvlsRt5w33kmwarcytmxljHEhqUC9q+PmsW0Jyib3s93xK4CvpX8kSVIOizHy7Uff5r0l6wEoyAv85tzx9O/uJFi1XxkZoZckSWoNd/zrQ/701pKa9vdO3peDhvRKsCIpeQZ6SZKUFf41ZyU/fnLbJNjPHzSIcycNTrAiqW0w0EuSpDZv4erN/NsfSkjPgWXs4B5cd8q+ToKVMNBLkqQ2bnN5JZfeM5W1mysA6Nu1A7ecO54OBU6ClcBAL0mS2rAYI994+G1mLE1Ngi3MT02C3aNbx4Qrk9oOA70kSWqzbn3xA/769tKa9g9P2Y/xe/ZMsCKp7THQS5KkNumfs1fws6dn1rTPPXgwn5/oJFipNgO9JElqc+at3MS/319CTE+CPWhIT7772X2TLUpqowz0kiSpTdlUVsml90xhfWklAP26deTXXxxHUYGxRaqL/zIkSVKbEWPkaw9NY/ayjQAUFeRx63nj6dvVSbBSfQz0kiSpzbj5hbk89e5HNe3rT92PMYN6JFeQlAUM9JIkqU14buYybnhmVk37wkOHcNaEQQlWJGUHA70kSUrcBys2ctUf3qqZBDtpr15ce+LoZIuSsoSBXpIkJWpDaQWX3jOVDWWpSbADe3Ti5i+OozDfmCI1hP9SJElSYqqrI//54DTeX56aBNshPQm2924dEq5Myh4GekmSlJgbn5vD36cvq2n/9Iz92W9g9wQrkrKPgV6SJCXimfc+4pf/mFPTvuTwvThtbHGCFUnZyUAvSZJa3fvLN/CfD06raR82rDffOn5UghVJ2ctAL0mSWtW6LRV8+e6pbExPgi3u2YmbvjCOAifBSk3ivxxJktRqqqsjVz/wFh+u3ARAx8I8bjtvAr26FCVcmZS9DPSSJKnV/OIfs3lu5vKa9s/PHMM+A7olWJGU/Qz0kiSpVTz1zlJueu79mvZXjtibk8YMSLAiKTcY6CVJUoub9dEG/uuhbZNgPzF8d75xrJNgpUww0EuSpBa1bnMFl94zhc3lVQDs2bszN31hLPl5IeHKpNxgoJckSS2mqjry7398k/mrNgPQuSif286bQI/OToKVMsVAL0mSWszP/zaLF2evqGn/z1ljGNmva4IVSbnHQC9JklrEX6Yt4ZZ/zq1p/9uRwzh+//4JViTlJgO9JEnKuOlL1vONh9+uaR81qi9Xf2ZEghVJuctAL0mSMmrNpnIuvWcKWypSk2D32r0Lv/jcgU6ClVqIgV6SJGVMZVU1//aHEhat2QLAbh0KuP388XTvVJhwZVLuMtBLkqSM+dnTM3n5/VU17f89ewzD+joJVmpJBnpJkpQRf3pzMbe/9GFN+6qjh3PMvv0SrEhqHwz0kiSp2d5dvI5vPrJtEuynR+/BVUcPT7Aiqf0w0EuSpGZZtbGMr9wzlbLKagCG9unCLz43hjwnwUqtwkAvSZKarKKqmivuL2Hx2tQk2K4dCrjt/Al07egkWKm1GOglSVKTXf/EDF79YDUAIcCvvnAgQ/vslnBVUvtioJckSU3y0JSF3Dl5Xk37vz4zgqNG7ZFcQVI7ZaCXJEmNNm3hWq7907s17eP368cVRw5LsCKp/TLQS5KkRlmxITUJtjw9CXbEHrtxw1ljCMFJsFISDPSSJKnByiurufy+qXy0vhSAbh0LuO28CXTpUJBwZVL7ZaCXJEkN9oO/vscb89YAkBfgpnPGMWT3LglXJbVvBnpJktQgf3x9Afe+uqCm/fVjR3HEiD4JViQJDPSSJKkBps5fw3cff6+mfeIB/bnsiL0TrEjSVgZ6SZK0U8vWl/LVe6dSXpWaBDuqX1d+fuYBToKV2ggDvSRJqldZZRVfvXcqyzeUAdCjcyG3nz+BzkVOgpXaCgO9JEmqU4yR7z3+HiUL1gKpSbD/94VxDOrVOdnCJH2MgV6SJNXpvtcW8Mc3Fta0rzlhNIcP3z3BiiTVJWOBPoRQHEL4XQhhSQihLIQwL4TwyxBCz5buJ6RcEEJ4IYSwOoSwJYTwYQjhwRDCiOY/O0mS2pc35q3mur9smwR76oEDuPjwvRKsSFJ9MnICXAhhKDAZ6As8DswEJgJXAceFEA6LMa5qiX5CCB2Bh4DPArOA+4ENwADgE8AIYHYGnqYkSe3C0nVb+Oq9JVRURQD2HdCNn5zuJFiprcrUjJabSYXwK2OMN229MYTwv8DVwPXAZS3Uz/+QCvM/Ab4TY6zefmcIobDRz0aSpHaqtKKKy+6ZysqNqUmwvboUcet54+lUlJ9wZZLq0+xTbkIIewPHAPOAX9fa/T1gE3BeCGGnl5FrSj/pEf3LgDeAa2uHeYAYY0Ujno4kSe1WjJHv/Oldpi1aB0B+XuDX54yjuKeTYKW2LBPn0B+V3j5TO1DHGDcALwOdgYNboJ8vkHoOdwHdQgjnhhC+HUK4NIQwrEnPRpKkduruV+bz8NRFNe3vnDiaQ4b2TrAiSQ2RiVNuRqa39Z2nPofUyPsI4NkM93NQetsdmAts/1snhhB+Q+r0naqdPC4AIYSp9ewatav7SpKU7V6Zu4of/HV6TfuMccVceOiQ5AqS1GCZGKHvnt6uq2f/1tt7tEA/fdPbHwBTgP2BrsDRpAL+5cB/7+JxJUlq1xav3cIV95dQVZ2aBDumuDvXn7afk2ClLNEal3nb+tsgtkA/W2foLAVOizFuSbefCyGcCZQA/xlC+HGMsXxnnccYx9f5oKmR+3FNL1uSpLartKKKr9wzhdWbUh+Tu+9WxC3njadjoZNgpWyRiRH6rSPn3evZ363WcZnsZ016+/R2YR6AGOM04ENSI/ajd/HYkiS1OzFGvv3oO7y7eD0ABXmBm784nv7dOyVcmaTGyESgn5Xe1ncBp+Hp7a7Wgm9KP1vvs7ae+2wN/P5mkiSpljv+9SGPvbm4pv29k/dl4l69EqxIUlNkItA/n94eE0L4WH8hhK7AYcAW4NUW6Gfr5Nj9ancWQujAti8B83bx2JIktSsvv7+SHz85o6b9+YMGce6kwQlWJKmpmh3oY4xzgWeAIcAVtXZfB3QB7o4xboLUhZ5CCKPSa8g3uZ+0p4APgGNDCJ+pdZ//JnX6zj9jjB817dlJkpR7Fq7ezL/dX0J6DixjB/fgulP2dRKslKUyNSn2cmAycGMI4WhgBjAJOJLUKTLXbnfswPT++aTCe1P7IcZYHkK4gNQXgadCCI+l+z0I+CSwArg0Q89RkqSst7m8kkvvmcqazanrLvbp2oFbzh1PhwInwUrZKhOn3GwdXZ8A3EkqgP8XMBS4ETgkxriqpfqJMf4rfZ9HgCOAK4G9gduAcTHGXZ27L0lSuxBj5BsPv82MpalJsIX5gVvOHc8e3TomXJmk5sjYspUxxoXARQ04bh7blqBscj+17jMd+Fxj7iNJUntz24sf8Ne3l9a0f3DKfozfs2eCFUnKhIyM0EuSpLbtn7NX8LOnZ9a0vzhpMF+Y6CRYKRe0xoWlJElSAmKMTFu0jgenLOSxksU1k2An7NmT7520b7LFScoYA70kSTlm5cYyHitZzINTFjJn+caP7evXrSM3nzuOogL/k17KFQZ6SZJyQGVVNS/MWsGDUxby3MzlVG4djt/OsL67cePnx9K3q5NgpVxioJckKYu9v3wjD01dyKMli1mxoWyH/Z2L8jlx//6cfdAgJuzZ07XmpRxkoJckKctsLKvkibeX8OCURUydv6bOYybs2ZOzJwzihAP6s1sHP+6lXOa/cEmSskCMkTfmreHBKQt54u2lbKmo2uGYvl07cPq4Ys6aUMzQPrslUKWkJBjoJUlqwz5aV8ojJYt4aMpC5q3avMP+grzAp0fvwdkHFfPJ4X0oyHeyq9TeGOglSWpjyiqreHbGch6cspAXZ6+gjvmtjNhjN86eMIhTxw5k9906tH6RktoMA70kSW3EjKXreXDKQv705mLWbK7YYX/XDgWcfOAAzp4wiAOKuzvBVRJgoJckKVHrNlfw52mLeXDKIt5ZvK7OYw4d2puzJwzi2H370akov5UrlNTWGeglSWpl1dWRl+eu5MEpi/jbex9RXlm9wzEDe3TizPHFnDm+mEG9OidQpaRsYaCXJKmVLFy9mYemLuKRqYtYvHbLDvuLCvI4bt9+nD1hEIcO7U1enqfUSNo1A70kSS2otKKKp9/9iAenLGTy3FV1HrP/wO6cPaGYk8cMpHvnwlauUFK2M9BLkpRhMUbeXrSOB6cs5M/TlrChtHKHY3p2LuTUsQM5a/wg9hnQLYEqJeUKA70kSRmyamMZj725mIemLGLWsg077M8L8MkRfTh7wiCOHt2XDgVOcJXUfAZ6SZKaobKqmn/OXsFDUxbxjxnLqKxj0fg9e3fm7AmDOH3cQPp375RAlZJymYFekqQmmLtiIw9NWcSjJYtYvqFsh/2dCvM58YD+nDW+mIl79XLNeEktxkAvSVIDbSyr5Mm3l/LglIVMmb+mzmPG79mTsycUc+IBA9itgx+zklqev2kkSdqJGCNT5q/hwTcW8sQ7S9lcXrXDMbvv1oEzxqcmuA7ru1sCVUpqzwz0kiTVYdn6Uh4pWcRDUxbx4cpNO+wvyAscNaovZ08YxBEj+1CYn5dAlZJkoJckqUZ5ZTXPzVzGg1MW8cKs5dQxv5XhfXfj7AmDOHXsQPp07dD6RUpSLQZ6SVK7N/Oj9Tz4xiL+9NZiVm8q32F/1w4FnHTgAM4aX8yBg3o4wVVSm2KglyS1S+u2VPDnaUt4aMpC3l60rs5jDtm7N2cfVMxx+/anU5Frxktqmwz0kqR2o7o68soHq3hwykKefvcjyiqrdzhmQPeOnDm+mDPHD2Jw784JVClJjWOglyTlvIWrN9dMcF28dssO+4vy8zhm3z04e8IgDhu2O/l5nlIjKXsY6CVJOamssoqn3/2IB6cs5OX3V9V5zL4DunH2hEGccuAAenQuauUKJSkzDPSSpJxTsmANX3toGh+s2HG5yR6dCzn1wIGcNaGYfQd0T6A6ScosA70kKWeUVlTxv3+fzW9f+uBjS06GAJ8c3oezJwzi0/v0pUOBE1wl5Q4DvSQpJ9Q1Kt+lKJ9LPzmUsyYUM6BHpwSrk6SWY6CXJGW1+kblDx+2Oz89Y3+Ke7pSjaTcZqCXJGWt+kblrzlxNOdMHOwFoCS1CwZ6SVLWcVRekrYx0EuSsoqj8pL0cQZ6SVJWcFRekupmoJcktXmOyktS/Qz0kqQ2y1F5Sdo1A30btbm8kr9MW8LZEwY58iSpXXJUXpIaxkDfBq3bUsHFd77BlPlrWLGhjH87anjSJUlSq3FUXpIax0DfBt38wvtMmb8GgBuemU23ToWcf8iQZIuSpFbgqLwkNZ6Bvg26+tMjeHfxOl5+fxUA3338Pbp2LOC0scUJVyZJLcNReUlqurykC9COOhbmc9t5EzhwUI+a27720Nv8ffqy5IqSpBZSsmANJ9z4Ere9uC3MdynK5/rT9uOeiyca5iVpFwz0bVSXDgXcedFBjNyjKwBV1ZEr7i9h8tyVCVcmSZlRWlHFT56cwZm/mfyxU2wOH7Y7f7v6k3xx0p6eYiNJDWCgb8N6dC7inosnMrhXanSqvLKaL981hWkL1yZbmCQ1U8mCNZx440vc6qi8JDWbgb6N69utI/ddMok9unUAYFN5FRf8/nVmL9uQcGWS1Hjbj8rPdVRekjLCQJ8FBvXqzD0XT6JH50IA1m6u4Lw7XmPh6s0JVyZJDeeovCS1DAN9lhixR1fuumgiXYryAVi2vowv/vY1lq8vTbgySdo5R+UlqWVlLNCHEIpDCL8LISwJIZSFEOaFEH4ZQujZmv2EEO4IIcT0z7CmPZu2acygHvz2goMoKkj9tS1YvZnz7nidtZvLE65MkurmqLwktbyMBPoQwlBgKnAR8DrwC+AD4CrglRBC79boJ4RwEvAlYGPTnknbd8jQ3tx8zjjy81KjWbOWbeDC37/BprLKhCuTpG3qG5U/bFhvnv4PR+UlKZMyNUJ/M9AXuDLGeGqM8VsxxqNIBfKRwPUt3U8IoQ9wO/AAqS8FOevT++zBDWcdUNN+a+FaLr1nCqUVVQlWJUkpOxuVv/fiSQzq5ai8JGVSswN9CGFv4BhgHvDrWru/B2wCzgshdGnhfm5Lb69oaO3Z7LSxxfzglH1r2i+/v4or//AmlVXVCVYlqT1zVF6SkpGJEfqj0ttnYowfS5Mxxg3Ay0Bn4OCW6ieEcCFwKnBZjHFVI+vPWucfMoSvHTOipv3M9GV885F3qN7+uumS1AoclZek5BRkoI+R6e3sevbPITXyPgJ4NtP9hBD2BH4F3Btj/FPDSt5RCKG+03RGNbXP1nDFkcNYt6WC21/6EIBHShbRtWMB3ztpH0fCJLW40ooqfvH32dz+0rYgD6lR+Z+efoBBXpJaQSYCfff0dl09+7fe3iPT/YQQ8oC7SE2CvXIX/eekEALXnDCa9VsqeWDKQgDunDyP7p0KufozI3Zxb0lqupIFa/j6Q9M+dnpNl6J8rjlxNOdMHOyggiS1kkwE+l3Z+hu9ueeB1NXP1cARwIkxxjXN6TzGOL7OB02N3I9rTt8tLYTAj0/fn41llTzxzlIAfvXsHLp1KuTiw/dKuDpJucZReUlqWzIR6LeOnHevZ3+3WsdlpJ8QwnBSq978Psb4ZAPqzGn5eYFffO5ANpRV8uLsFQD88K/T6dqxgLMnDEq4Okm5wlF5SWp7MjEpdlZ6W9/5HcPT2/rOjW9qP/sCHYCLtruQVAwhRFKj9gBz0reduovHzglFBXnccu44Juy57Rpc33rkbZ5+d2mCVUnKBa5gI0ltVyZG6J9Pb48JIeRtv0JNCKErcBiwBXg1w/3MA+6op68TgX7AQ8D69LHtQueiAu648CC+cNurTF+6nuoIV/7hLe64sIBPDO+TdHmSspCj8pLUtjU70McY54YQniG1As0VwE3b7b4O6ALcGmPcBBBCKASGAhUxxrlN7SfG+BZwSV01hRBeIBXor4kxvt/c55htuncq5K4vTeTsW1/hw5WbKK+q5tK7p3LvJZMYv93ovSTtjOfKS1J2yNSk2MuBycCNIYSjgRnAJOBIUqfIXLvdsQPT++cDQ5rRj3aiT9cO3HvJJM78zWSWritlS0UVF/3+dR74yiGM7t9t1x1IatcclZek7JGJc+hJj7RPAO4kFcD/i9Qo/I3AIQ292FOm+lHKwB6duOfiSfTuUgTA+tJKzrvjdeat3LSLe0pqrzxXXpKyT4jRq4ruTAhh6rhx48ZNnVrfdafavncXr+MLt73KhrJKIBX0H/7qIfTv3inhyiS1JY7KS1Kyxo8fT0lJSUl9y6nXJyMj9Grb9hvYnTsuPIgOBam/7sVrt3DeHa+zelN5wpVJagsclZek7Gagbycm7tWLW84bT0Fe6kP5/eUbueB3r7OhtCLhyiQlqWTBGk688SVufXHbxNcuRflcf9p+3HvxJCe+SlIWMNC3I0eO7MsvPncgWwfa3lm8jkvumkJpRVWyhUlqdY7KS1LuMNC3MyeNGcCPT9u/pv3ah6u5/L4SKqqqd3IvSbmkvlH5H53qqLwkZSMDfTv0hYmD+dbxo2raz81cztcemkZ1tROkpVxW36j8oUNTo/LnHuyovCRlo0ytQ68sc9kRQ1m/pYKbX0hd2+vxt5bQtWMBPzxlPz/QpRxU3wo23z5hNF+c5Ao2kpTNDPTt2NePHcn60grufXUBAPe+uoBuHQv5xnGjdnFPSdmivqu9Hjq0Nz87w6u9SlIuMNC3YyEEfnDyfqzfUsmfpy0B4OYX5tK9UyFfOWJowtVJai5H5SWpfTDQt3N5eYH/OXsMG8sqeW7mcgB+8tRMunUq5AsTBydcnaSmcFRektoXJ8WKwvw8bv7iOCbt1avmtmsee4e/pEftJWWPqfPrX8HmvktcwUaScpEj9AKgY2E+v71gAufc/hrvLF5HjHD1A2+xW8cCjhzZN+nyJNWhrLKK95asp2T+Gt5csJY3F6xhybrSjx3jqLwk5T4DvWp07VjIXV+ayNm3vsL7yzdSWR356r1TuftLk5i43ei9pGR8tK6UkgVrKJm/hpIFa3h3yXrKK+u+hoTnyktS+2Gg18f06lLEPRdP5MzfvMLitVsorajm4jvf4A+XHsx+A7snXZ7UbpRXVvPeknWULFhLyYI1vDl/x9H3unQqzOeIEX249sTRjspLUjthoNcO+nfvxH2XTOLMW15h5cYyNpRVcsHvXufByw5haJ/dki5PyknL1pfWjLyXLFjLO4vX1Tv6vr3BvTozbnAPxu3Zk3GDezKqX1cK8p0eJUntiYFedRqyexfuuXgin7v1FdaXVrJqUznn/fY1HvrqoQzs0Snp8qSsVl5ZzfSl62sC/JsL1rJ47ZZd3q9jYR4HFPdg3OCejBvcg7GDe9Kna4dWqFiS1JYZ6FWv0f278fuLJnLub19jS0UVS9aVct5vX+PByw5h990MEVJDLV9fWjPyXjJ/De8sXkdZA0ffxw7eGuB7Mqp/VwodfZck1WKg106N37Mnt50/novvnEJ5VTUfrNzE+Xe8zh8uPZjunQqTLk9qcxx9lyS1NgO9dukTw/tw4xcO5PL7SqiOMH3pei6+8w3uuXgSnYryky5PSlRTR98H9epUM/Lu6LskqTkM9GqQ4/brz0/POIBvPPw2AFPmr+Gye6dy+/kTKCowhKh9qKiqZvqS9R8L8A0efR/Yg7F7pkbgxw7uQd+uHVuhYklSe2CgV4OdPWEQG0or+eFfpwPwz9kruPqBt7jxC2PJz3Oda+We5RtKKZmfumBTyYI1vL2oYaPvxT071Zw6M27Pnozu383Rd0lSizHQq1EuPnwv1m2p4MZn5wDwxDtL2a1DAT89Y38vXqOsVlFVzYyac99Ta78vWrPr0fcOBXmMKXb0XZKUHAO9Gu3qTw9n/ZYK7pw8D4AHpiyke+dCvn38KEO9ssaKDWXpU2fW8Ob8tby9eC2lFY6+S5Kyj4FejRZC4Luf3YcNpZU8UrIIgNte/IDunQq54shhCVcn7aj26PubC9ewcHXDRt8PKO6eHnlPhfi+3Rx9lyS1LQZ6NUleXuBnZ+zPhtIKnpm+DICf/20WXTsWcP4hQ5ItLofFGClZsIYXZ6+ksrqagrw8igryKMgLFObnUZgfKMjPq/lzYX56X0EehXl5FOSHj+2rOSY/j8K8rX/eui8va+dGNHX0fWCPTukrrqZOnxndv5uTviVJbZ6BXk1WkJ/HjV8Yy5fufIPJc1cB8N3H36Nbx0JOHTsw4epyy8LVm3m0ZDGPvrmI+as2t9rj5gW2hf2CvNQXiPSXhoL8QNH2XwDy8igsCBTk1fqikB/q3VdU6wvI9vsLaz1G6svL1mO27yewZlNFTYAvWdC40fetI+/jBvd09F2SlJUM9GqWjoX53Hb+BM797Wu8tXAtAP/10DR261DAp/fZI9nistz60gqefHspj5Ys5vV5qxOpoTqmLpRUDlBelUgNmeLouyQpVxno1Wy7dSjgzosO4nO3vsqsZRuoqo5cfn8Jd100kUOG9k66vKxSWVXNS++v5NGSxTzz3kd1LpHYtWMBJ+7fn+KenSivilRWVVNRVU1FVaSyupqKykhFdbpd775qKqsi5entx4+ppqI6dVuMCbwIGVBUkMcBA7vXBPixg3uyh6PvkqQcZaBXRvToXMQ9F0/kzFteYcHqzZRXVnPJXW9w/5cPZsygHkmX1+ZNX7KeR0sW8ae3lrByY9kO+/PzAkeM6MPp4wby6dF70LGwda7QW1W9NexvF/yrIxWV1VRWV1Nemf4SkN637cvBdl8QavZV7/AFpKKqmspaj1Hnl4yquh+jMl1LUUEe+w1MTV4dt2dP9nH0XZLUjhjolTF9u3XkvksmceYtk1m2voxN5VVc8PvXeegrhzB8j65Jl9fmLN9QyuNvLuGRkkXM/GhDncfsO6Abp48r5uQxA+jTtUMrV5j6IpGfl99qXyAkSVLjGeiVUYN6deaeiydx9q2vsHZzBWs3V3DuHa/x8GWHMqhX56TLS1xpRRXPTF/GoyWLeHH2CqrrOKWlb9cOnDZ2IKeNG8ioft1av0hJkpRVDPTKuBF7dOWuiyZyzu2vsqm8imXry/jib1/j4csOaZeriFRXR96Yt5pHSxbz5DtL2VBWucMxHQvzOHbffpw+rpjDh+2etctFSpKk1megV4sYM6gHt18wgQt//wblldUsWL2Z8+54nQe+cjA9OhclXV6r+HDlJh4rWcSjby5m0Zq6l1E8eO9enD6umOP360fXjoWtXKEkScoFBnq1mEOH7s6vzxnHZfdOpao6MmvZBi78/Rvcd8kkunTIzbfeus0V/PWdJTxaspip89fUecxeu3fh9LEDOXXsQE9DkiRJzZabqUptxmf22YMbzjqAqx+YBsBbC9dy6T1TuOOCg3JmomVFVTX/nLWCR99cxD+mL6e8aselJrt3KuSkMf05fVwxYwf1IARPqZEkSZlhoFeLO21sMRtKK/nu4+8B8PL7q7jyD29y8xfHUZCfnUsLxhh5d/F6HilZxF+mLWHVpvIdjinICxw5qi9njBvIkaP60qEgN77ASJKktsVAr1Zx/iFDWL+lghuemQ3AM9OX8c1H3uHnZx5AXhZNAP1oXSl/emsxj5YsYvayjXUec0Bxd84YV8xnD+hP791af6lJSZLUvhjo1WquOHIY67ZUcPtLHwLwSMkiunYs4Hsn7dOmT0HZXF7J3977iEdLFvOv91fWefXUft06ctq4gZw+dqBr7kuSpFZloFerCSFwzQmjWb+lkgemLATgzsnz6N6pkKs/MyLh6j6uujry6gereKRkMU+/u5RN5VU7HNO5KJ/j9uvHGeOKOXjv3i41KUmSEmGgV6sKIfDj0/dnY1klT7yzFIBfPTuH7p0K+dLheyVcHby/fCOPvbmIx0oWs2Rd6Q77Q4BDh/bm9LHFHLdfv5xdrUeSJGUP04haXX5e4BefO5ANZZW8OHsFAD/463S6dizgrAmDWr2eNZvK+cvbS3ikZDHTFq6t85ihfbpwxvhiTj1wIAN6dGrdAiVJknbCQK9EFBXkccu54zj/jteZkl6v/ZuPvE3XjgUct1//Fn/88spqnp+1nEemLuL5WcupqNrxxPienQs5ecwATh9XzAHF3dv0ef6SJKn9MtArMZ2LCrjjwoP4/G2vMmPpeqojXPmHt/jdhYUcPnz3jD9ejJFpi9bxaMki/jxtCWs3V+xwTGF+4OhRe3D6uIF8amRfigqyc1lNSZLUfhjolajunQq5+0sTOfvWV/hw5SbKq6q59J4p3HvJJMYN7pmRx1i8dgt/enMxj5Qs4oMVm+o8ZuzgHpw+rpjP7t+fnl2KMvK4kiRJrcFAr8T16dqBey+ZxJm/mczSdaVsLq/iwt+9zgNfOYTR/bs1qc+NZZU8/e5HPDJ1Ea9+uKrOpSYH9ujEaWMHcvq4gezdZ7dmPgtJkqRkGOjVJgzs0Yl7Lp7E2be+wupN5awvreS8O17n4csOYcjuXRrUR1V1ZPLclTxaspin3/2ILRU7LjXZpSifE/bvz+njipm0V6+suqiVJElSXQz0ajOG9d2Nu780kS/c9iobyipZubGML/72NR756qH0696x3vvNXraBR0oW8ac3F7NsfdkO+/MCHDZsd84cX8wx+/SjU1F+Sz4NSZKkVmWgV5uy38Du3HHhQZx3x2uUVVazeO0Wzr3jNR78yiH02u7c9pUby/jzW0t49M1FvLt4fZ19jdhjN84YV8wpBw7c6RcCSZKkbGagV5szca9e3HLueL589xQqqyPvL9/IBb97nTsvOojXPlzNoyWLeGHWCiqrdzwxvneXIk45MHVe/L4DurnUpCRJynkZC/QhhGLgB8BxQG9gKfAn4LoY45qW6CeEMBw4HTgWGA7sAawBXgV+GWN8vllPSok5clRffvG5A7nyj28SI7yzeB0HXf8P6sjwFBXk8ZnRqaUmPzmiD4X5LjUpSZLaj4wE+hDCUGAy0Bd4HJgJTASuAo4LIRwWY1zVAv38EPgcMB14ElgNjAROBk4OIVwVY7wxE89Rre+kMQPYUFrJNY+9A7BDmJ+wZ09OH1fMifv3p3vnwgQqlCRJSl6mRuhvJhXCr4wx3rT1xhDC/wJXA9cDl7VAP08DP4sxvrl9JyGEI4C/Az8PITwUY1zapGelxJ0zaTAbSiv4yVMzARjUqxOnjy3mtLEDG7z6jSRJUi4Lsa4FuhvTQQh7A3OBecDQGGP1dvu6kjplJgB9Y4x1X9Ung/1sd59ngM8AZ8YYH2n8M6vpZ+q4cePGTZ06taldKANmLF1PRVU1+w3o7lKTkiQpJ40fP56SkpKSGOP4xtwvEycbH5XePrN9CAeIMW4AXgY6Awe3Uj9bVaS3lQ08Xm3Y6P7dOKC4h2FekiSplkwE+pHp7ex69s9Jb0e0Uj+EEPYEjgY2Ay/u6vj0fabW9QOMasj9JUmSpCRk4hz67untunr2b729R2v0E0LoANwHdAC+0ZgVdiRJkqRs0xrr0G89R6J5J+s3oJ8QQj5wD3AY8ABwQ0M7r+9cpfQo/biGlylJkiS1nkyccrN15Lx7Pfu71TquRfpJh/l7gbOAB4FzY3Nn/EqSJEltXCYC/az0tr5z24ent/WdG9/sfkIIBcAfgM8D9wPnxBidDCtJkqScl4lAv/VqrMeEED7WX3q5ycOALaSu3prxfkIIRcDDpEbm7wbOizFWNeF5SJIkSVmn2YE+xjgXeAYYAlxRa/d1QBfg7q1rx4cQCkMIo9JXhW1yP+m+OgCPAacAdwAX1V7yUpIkScplmZoUezkwGbgxhHA0MAOYBBxJ6hSZa7c7dmB6/3xS4b2p/QDcApwArAQWA98NYYd1yl+IMb7Q9KcmSZIktV0ZCfQxxrkhhAnAD4DjSIXspcCNwHUxxtUt1M9e6e3uwHd30vULDXwqkiRJUlbJ2LKVMcaFwEUNOG4e25agbHI/6WM/1cDyJEmSpJyUiUmxkiRJkhJioJckSZKymIFekiRJymIGekmSJCmLGeglSZKkLGaglyRJkrJYiDEmXUObFkJY1alTp16jR49OuhRJkiTlsBkzZrBly5bVMcbejbmfgX4XQggfAt2AeQmXks1GpbczE60it/iaZpavZ+b5mmaWr2fm+Zpmlq9nZgwB1scY99rVgdsz0KvFhRCmAsQYxyddS67wNc0sX8/M8zXNLF/PzPM1zSxfz2R5Dr0kSZKUxQz0kiRJUhYz0EuSJElZzEAvSZIkZTEDvSRJkpTFXOVGkiRJymKO0EuSJElZzEAvSZIkZTEDvSRJkpTFDPSSJElSFjPQS5IkSVnMQC9JkiRlMQO9JEmSlMUM9MqYEMLwEMI3QwjPhRAWhhDKQwjLQgiPhxCObGRfQ0IIcSc/f2yp55GEEEJxCOF3IYQlIYSyEMK8EMIvQwg9k+gnm4UQeocQLgkhPBZCeD+EsCWEsC6E8K8QwsUhhAb/3ku/fvW9Bz9qyefRlmTydfA9CiGEC3fx+y2GEKoa2Fe7eo+GEM4MIdwUQngphLA+/Tzv3cV9Dg0hPBlCWB1C2BxCeDuE8B8hhPwmPH7G+moLGvN6+hnfthUkXYByyg+BzwHTgSeB1cBI4GTg5BDCVTHGGxvZ5zTgT3Xc/m4z6mxTQghDgclAX+BxYCYwEbgKOC6EcFiMcVVr9ZMDzgJ+AywFngcWAHsApwO/BY4PIZwVG35VvXXAL+u4fWPzS80qzX4dfI/WeAu4rp59nwCOAp5qRH/t6T36HWAMqee2CBi1s4NDCKcAjwClwAOkPpdOAn4BHEbq90WDZLKvNqQxr6ef8W1ZjNEffzLyA1wIjK3j9iOAcqAM6N/AvoYAEbgz6efVCq/b39LP9d9r3f6/6dtvac1+sv2HVBg6CcirdXs/UuE+Amc0sK95wLykn1PSP5l6HXyPNug1eiX9Wpzcmn832fIDHAkMBwLwqfRrdW89x3YDlqc/eyZsd3tHUl8sI/D5Bj5uxvpqSz+NfD39jG/DP55yo4yJMd4ZY3yzjtv/CbwAFAGHtnZdbVkIYW/gGFIfyr+utft7wCbgvBBCl9boJxfEGJ+LMf4lxlhd6/aPgFvSzU+1emHtnO/RXQsh7AccDCwGnki4nDYpxvh8jHFOTKfCXTgT6AP8McY4Zbs+SkmNTAN8tYEPncm+2ozGvJ5+xrdtnnKj1lKR3lY28n4DQghfAXoDq4BXYoxvZ7SyZB2V3j5TRwDdEEJ4mVQIOhh4thX6yXVNeR92CCGcCwwmFTrfBl6MMTboHOcc0tzXwfforn0lvb2jke8v36N12/qee7qOfS8Cm4FDQwgdYoxlrdhXLvIzPmEGerW4EMKewNGkfuG92Mi7fyb9s31/LwAXxBgXZKTAZI1Mb2fXs38OqZAzgp2HnEz1k7NCCAXA+elmXR/K9ekH3FPrtg9DCBelR6bai+a+Dr5HdyKE0Ak4F6gmNdejMXyP1q3e91yMsTKE8CGwL7A3MKMV+8opfsa3DZ5yoxYVQugA3Ad0AL4fY1zTwLtuJjUBZzzQM/1zBKlJjp8Cns2R/5rvnt6uq2f/1tt7tFI/ueynwH7AkzHGvzXwPr8n9UHVD+gC7A/cSur8z6dCCGNaoM62KBOvg+/RnTub1HN/Ksa4sBH38z1av0y+53z/1sHP+LbDQK+P2cUSaHX91LtcWHoZr3tIzf5/ALihoXXEGJfHGL8bYyyJMa5N/7xIagTvNWAYcEnznm1WCOltQ1dkael+slII4Urgv0itqnJeQ+8XY7wufU7+shjj5hjjuzHGy0hN4uwEfL9FCm5jWul1aNfvUeDS9PbWxtzJ92izZPI91+7ev37Gty0GetU2F5jViJ8ldXWS/od+L6llvB4Ezm3gJKadijFWsu2/oz/Z3P7agK2jOt3r2d+t1nEt3U/OCSFcAfyK1FJrR8YYV2eg262Ta3PhPdgcjXkdfI/WI4SwD6nJhItILQeYCb5HM/ue8/27HT/j2x7PodfHxBiPbm4f6XOV7yf1D/1+4PwMT85akd7mwn/HzUpvR9Szf3h6W995x5nuJ6eEEP6D1BrR7wJHxxiXZ6jrrf3kwnuwORrzOvgerV9TJ8PujO/R1HtuAqn33NTtd6Q/p/YiNYnzg1buK6v5Gd82OUKvjAohFAEPk/qHfjdwXgustHBwepsLvzifT2+PCbWuYBpC6ErqvzK3AK+2Uj85I4TwTVJh/i1SI/OZCvMAh6S3ufAebI7GvA6+R+sQQuhI6jSwauCODHbtexSeS2+Pq2PfJ4HOwOQGrkqTyb6ylp/xbZeBXhmTnhzzGHAKqQ+mi2ovT1fHfbqHEEaFEPrXun1S+hdH7eOPAq5ON3d6ue9sEGOcCzxDagLbFbV2X0dqhOLuGOMmgBBCYfr1GtqcfnJdCOG/SU2CnUpqZH7lTo6t8zUNIewbQuhVx/F7Av+Xbmb9e3BXGvs6+B5ttLNITQh8sr7JsL5Hm+xhYCXw+RDChK03pr9E/Sjd/M32d6jvM6kpfeUaP+PbtpCBU54kAEIIvyd1JbmVwM3UPTnohRjjC9vd50JSqzTcFWO8cLvbXyC1BNgLpM4rBTiAbWsB/3eMcesv0ayW/pCeDPQFHie15NkkUlfwmw0cGmNclT52CPAhMD/GOKSp/eSyEMIFwJ1AFXATdZ/TOi/GeGf6+CHU8ZqGEL4PfIvUyPKHwAZgKHAiqatDPgmcFmMsb5En0kY09nXwPdo4IYSXgMNJXRn2L/UcMwTfowCEEE4FTk03+wHHkhrJfSl928oY49dqHf8wUAr8EVgNnExqGcqHgbO3P/e7vs+kpvSVDRrzevoZ38bFNnC5Wn9y44fUP8y4i5/v17rPhdRx+WfgYuCvpK4quZHUJaUXkJpJ/4mkn2sLvHaDSP3SW0rqEtrzSU3k7FXruCHp12tec/rJ5R9Sq3rs6n34wq5eU1JLqP2B1Mo4a0ldOGUF8HdS69mHpJ9rK72ejXodfI826rUdnX6tFgL5OznO9+i257yrf987vO9Inc71JLCG1Gld75AaBd7hNa/vM6kpfWXDT2NeT/yMb9M/jtBLkiRJWcxz6CVJkqQsZqCXJEmSspiBXpIkScpiBnpJkiQpixnoJUmSpCxmoJckSZKymIFekiRJymIGekmSJCmLGeglSZKkLGaglyRJkrKYgV6SJEnKYgZ6SZIkKYsZ6CVJkqQsZqCXJEmSspiBXpIkScpiBnpJkiQpixnoJUmSpCz2/wE3LEkvQTB0qwAAAABJRU5ErkJggg==\n", 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