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Gaussian log likelihood plot
{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"from pylab import *"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sigma = 4\n",
"mu = 3\n",
"N=1000\n",
"x = np.random.randn(N)*sigma + mu"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"H = hist(x, bins=N/30)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x4709490>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from scipy.stats import distributions"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"xx = np.linspace(-20,20)\n",
"yy = np.linspace(1, 10)\n",
"XX, YY = np.meshgrid(xx,yy)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"@np.vectorize\n",
"def loglik(mu, sigma):\n",
" return sum(distributions.norm.logpdf(x, mu, sigma))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"contour(xx, yy, loglik(XX,YY), 200)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 28,
"text": [
"<matplotlib.contour.QuadContourSet instance at 0x821b320>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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y5bz4/0hDg/otX06+27fz4r+hAIB8//yThm3apBLDFsAw5LpgAXWaMoW6fP65\nkpyyZOnSpRg3bhwqKysRGRmJLl26yHX3eJuskBCc0ddH0O7dMtuoDYZhcPerr3DV3BwVSqiIrCgp\ngU3Pngg4coRzX9JQWVZWtfp+9IhvKSpL3L17OGhqyutqrjgzE9vbtEEeh03dGjpRLi443rOnyqy6\n/bZtw7khQ+SulmUTO1mvvEUiEY0dO5aaNGlCxsbG9MEHH1CWArNF1Hv0oKkPHlDEqVP0YO1ahbbQ\nVFNTI8tDh6hVx47kOm0aScrLFWa7Jpq2aEGTr1wh319+ofTAQE59SUOT5s3J7Oef6b6w+q6VgBMn\nqO+yZbyu5j4UiajvsmXk+/ffvGlQZQCQ7x9/qMyqO8Hbm57t20eT7O2pcbNmSvPLehjDzZs3af/+\n/eTu7k4pKSlkYWFBUVFR/3oT1dTUaPPmza//bWlpSZYsh4CW5+bSrcmT6SNdXRpha0tNPviA1fV1\nwYjFdHvWLALD0PjLl6lRkyYKs10TEfb25LNxIy149oyat27Nqa/6kFRU0OHOnWmavT3pDR7MqxZV\noywvj/YZGtK30dG8d6UrzsiggyYmtCI0lD7W1eVVi6oR6+lJbt98Q/8LDeV9yEVRWhqd7dePxtvY\nUIdx41hf7+3tTd7e3q///dtvv0m9zSrTJJ3169eTl5cXMQxD27ZtozFjxvzbqJoaVRYXUxM5S4nF\nZWV0d/58Kk5NpfE3btAHbdvKZe9NJBUVdHPKFGrepg2NOXuW8w/BnW++oaLkZJri4MD7auHZ0aMU\ndeMGzb51i1cdqkbw2bMU4eBAsxwd+ZZCREQ3V66kFm3b0kglDxxRZQDQOQsL6rNsGfWYN49XLYxY\nTPajR5OBhQUN++03hdhkM0mHszxvx169UKCA1oyMRIIH33/PyWCHypISOIwYAY+lSzkvH68sK8PZ\ngQPhv2sXp36k1SJknrzLRSsrBJ87x7eM12SEh2OnlpbQWOwN4ry8cKhTJ85aa7Dh3oYNsBs9GhKx\nWGE22YRkzoJ3uLU1LmlqIvHWLYXYDNq7F2f09RWeC15eWIgrZmbwXrWK88OPvLg4WGtqIuH+fU79\nSMPTw4dxacIEvmWoDGX5+dj68cdy9enmgmN9+wo9T97grIUFgmuoLVE20S4uOKyvj2IF146oRPAG\ngDQfH9jr6iLozz8VsrKtzgVP9PCQ29ablOXlwa5fP/iuW8d5AH/l6opDenooSkvj1E99VJaVYb++\nvrD6/ofj7YmsAAAgAElEQVSQCxdwceJEvmW8g8eGDfDcuJFvGSqBqqy6qxdhib6+CrfNJnhz2ttE\na9gwmvjkCSW7upLn5MlUnpsrl71OM2bQuCtXyOPLLynq/HkFqSRq3ro1TXJzo/hbt8j/jYNWLug4\nfjz1WLyYnGbNIkYs5tRXXTRp3pzMNmwgHwXt1TV0Xjg6ksnUqXzLeIeOY8ZQjIcH3zJ4BwDd+/VX\nGvbLL5wnGNSFuLycnGbMoIE//kj6Q4fypoNICY2pPtTVpXFeXvSxkRG59O9P2UFBctnTtbCgSXfv\n0uNNm+jZX38prACmhbo6TfHwoFfXrtGTP/9UiM3aGLp5MzVu2pR8eG6m03vJEsoICaGUJ0941cE3\nYBiKvXuXjMaO5VvKO+gPGkQZz59TZWkp31J4JfbOHSrJzKTuc+bwquPumjX0sb4+Dfj+e151EJFy\nG1PF2NnhokiE6PPn5fZRlJKCy337wmvpUoU+RhWlpuKssTGe7dypMJs1UZyZiSPt2iHK0ZFTP/Xx\n2Noadiq4XaBMUgICYF1DsZmqcLx/f8SpwDkJXzAMg1MDBiCMwzGK0hB69iyOd+6MMg7PRdiEZKW2\nhO0wcyZ9evcuBW3eTP7ffUdMZaXMtj7S0aEp9+5RUWKiQvuCf6StTVM9Pen5kSMUbG2tEJs18aFI\nRJMuXya3//2Pcl+94sxPffRZupTSAwMp5elT3jTwTYyHB3UcPZpvGbViMHQoJT58yLcM3ohyciJJ\neTmZTp/Om4aMkBC6u3YtTXFw4L1Woxql9/Nu06MHTXzyhApfviS3UaOoJC1NZltc9QVvqa9PUz09\nKXD3bgo9flwhNmtCd9AgMvvlF7oxfTpvj8VNPviAhvz003+650lsQwjeDx7wLYMXwDB0/9dfyeKP\nP0itES/jB6gsL48cP/+cRu3fTxrdu3Pmh+0gDl7ejeZt2tAoZ2fSHjmSXPr3p3QfH5ltNW7alEba\n2pKupSVdNzOjfAWtYlsZGtJUT0968scfFGFrqxCbNdFn5Upqa2JCd1as4K2BVZ9lyyjj+XNK+g+u\n7sAwlOTvTwY8Hz7VhW7//pSmAu0V+CDi6lVq3Lw5dbay4sV/dcOpjp9+Sl2//JIzPyGHD9PdpUvZ\nXcT3vk3irVu4pKWF0N275U7TCz1yBLba2khTYPpbzosXOKWrixcK2KevjfLCQpzq1g2Bx45x5qM+\ngk6fxhlzc5Vp9KMssqKisLd9e75l1AkjkWBry5b/uSENErEYR0xMeO3X7bd1q0IaTtXF82PHcLpd\nO+TFxKhOnre0FMbFwal/f3jNnCl3t79YJyfYiESIuXFDLjtvkhUaipPa2oi6fFlhNt8mOzIS1hoa\nSHn8mDMfdSERi3G0a1e8vHmTF/98EXLxIuw//5xvGfVyYtCg/9yhZcjZs7xOyYm9cwcHdXRQkJjI\nmY8wGxvY6Osj9+VLACpUpMOGytJS+CxahOvduyP/nx9EVtL8/WGrrY3Qo0flsvMmGUFBOKGpiRgn\nJ4XZfJtIBwccadcOxZmZnPmoixfXr1e12fwPTZp3+/573N+6lW8Z9XJjyRI8PnyYbxlKQ1xRgUNG\nRojz8uLFf0FiIg5qayOOo+EwABBx7hxO6eoi58WL1/+NTezkbM9bXFzM6vVNPviAhp46RSYrVpCr\nmRklOjvL7Ftr4ECa4utLQTt30uNfflHIXrJGr15k5eJCnkuWULybm9z2asJ46lQymTWLnHkq4DGe\nPJmatGhBYXZ2SvfNF6kBAaTTty/fMupFs3t3ygwL41uG0gg5c4Zat29P7Vl2I1UE4vJycpw+nfqt\nXk3tR4zgxEeUnR09XLeOpty5Q226dJHNCAc3FBARbhgbI+vpU5muT3/4EJcNDPB0wwa5criL09Nx\ndeBAeMybp7A9q5QHD3BcJEKCgkv0q5FUVsJu1Ch4r1/Pif36iPX0xCEjo/9MM6Q9+voNYuRYhKMj\nLnz2Gd8ylEJlaWlV6wY/P178316+HA5Tp3K2XRN1+TJOamsjq4YZt2xCMmcr756//UZe48dT2Pbt\nrFNgNIcMIatnzyjr8WO6M24clWZkyKThQ01NmuTlRRUFBXRz/Hgqz8+Xyc6b6JiZ0YRr1+j2rFmU\nfO+e3PbeplGTJmRlZ0cRdnYUee2awu3Xh+HIkfRJhw4UbGOjdN/KprK0lEqysqiVgQHfUurlE0ND\nyouL41uGUnh2+DBp9+3LS7/5kFOnKPHePZpga8tJ6+ZoBwe6v2oVTbp9m9TlTTtU5B3l7btHUXw8\n3IcPh7uFBYoSEljbkYjFeLZxIy4bGCBDjgwSiViM+ytXwq57dxTKoKMmEjw9cUJDA8kcTRhPffoU\nB0QiZIWHc2K/LpIfP8Z+PT1UlJQo3bcySX/+HAdNTPiWIRWlubnY2rLle58NVJqXhz0aGkivYVXK\nNSmPH3P6nYtxcsIJTU1kBATU+ho2IZnzA0uJWIzQbdtwRUMDsZcuyWQv3tERlzQ0EHnypMyaGIZB\n4K5dVW1lAwNltvMvXe7uOKGhgZSHDxVi722CT53CCRMTlOXnc2K/Lq5Mm4aHO3Yo3a8yibh+XSU7\nCdbGttatUZyVxbcMTvHatAlOCxYo3W9xRgaOtGuHyGvXOLEf7+aGExoaSKsnm0ylgnc1WU+ewKlL\nF/jOmYNyGXoD5EZEwMHUFL5Ll6KytFRmbS/t7WEjEiHOxUVmG28S6+rKaQC//b//Ve2/KTkDJDM8\nHHs0NFCam6tUv8rk0YEDcPn6a75lSM1BU1Okh4byLYMzCpKTsbttW+TFxSnVr6SyEpdGjID3Tz9x\nYj/BwwPHRSKpntLZBG+Z9rz79u1LI0aMoBEjRtCSJUukuka9f38aHxBATT/+mFx796YMX19WPj8x\nMaGJ/v5UWVhIt4YOpcLYWFmkU6cZM2i8szN5L11KYceOyWTjTQzHj6cxZ8/SzcmTKc3fX257bzPq\nwAEqTk0lfyUPoxWZmlKniRPp0a5dSvWrTEoyM+kjTU2+ZUhNi7ZtqTQnh28ZnHF/yxbqtWQJtW7f\nXql+vdevp8bNmpE5B91Ek+/do9uzZtGEq1dJd9gwxRpnexcpLS1Fnz595Lp7JDo54aqWFgI3boSE\nZVYDwzAI278flzQ1kSDH6jnv5Utc6NwZfj/9pJBVbezNm1I9FslCQVISDuroIEbJlWZ58fHY3bYt\nClNTlepXWTgvX47Hhw7xLUNqLk2ahIjr1/mWwQkZYWHYo6Gh9CrSsIsXcaxjR5RkZyvcdrKPT1Vm\nmqen1NewCcmsg/ejR4/QpUsXjB07FiNHjsSjR49kElCSmgrPTz/FrQEDkB8VxVYG0nx9Ya+nh4Bf\nfpE5+JZkZsLBzAzus2ZBXFYmk403qT6QSH/2TG5bb5Nw7x6sNTWRq4C5oGxwX7MGrg1oa4EN9tOm\nIZTDqllF47hwIQJOneJbBifYW1nh0e7dSvWZHhyMAyIR0hU8WhEAUh4+xAkNDcS7ubG6jtPg/fz5\nc5z85+AwKioKRkZGkLwVPKUVwDAMXhw4gCvq6og6epT1SXpJWhpczc1xZ8IElMl456wsKcHt6dNx\n3dwcpQo4DIq+fh0ntbTqPFGWlaf798OmZ0+Uy9lCgA3FWVnYIxIhKzJSaT6VxenhwxHDYQWdorm9\nZg0ecNxnng/i792Ddfv2qFTAAkpaSrKzcczICGEXLijcdqqfH05oaCDW1ZX1tWyCN+s9b2NjY5rz\nzzSLzp07k7q6OqWmpr7zuvLs7HptqampUZdVq2iMjw9FHz9O9yZNojIWOd0ttLRonKcntTI2Juf+\n/Slbhs5rTVq0oLH29qQ1ZAg5DB5MeVFRrG28idGUKWRx6BA5jR9PmcHBctl6m76rVpFW3750a9Ei\npXUg/FBdnQavW0d3161Tij9lUllaSk0//JBvGVLTpEULEpeX8y1DoQAgz3XryOLPP6lJ8+ZK8clI\nJOQ8ezZ1mjxZ4Z0C0x49IpdJk2i0rS0Zjh+vUNtvwzp4nz59mr7/ZwRQSkoKFRQUkI6OzjuvW2Bo\nSGtmzKAtW7aQt7d3nTZbm5rSWD8/at29O7n27k3Jrq5S62nUtCkN3LuX+m3fTu5jx9JLGYpL1Bo1\noiF//029160jR3NzSpGjRS0RUafPP6fh1tbkNG4cZYWEyGXrTdTU1GjskSNUkJBA/tu3K8xufQxY\ntYoyQkIozstLaT6VgaS8XGkBQxE0btaMJBUVfMtQKJHXr5O4rIy6c9hu9W18Nm4kSCRkqeAkgNeB\n+8wZMpwwQaprvL29acuWLa//sILtsr6yshJz586Fubk5zM3N4VdDCSsRIfPhQ9w0MYHv9OkoZTEp\nPc3LCw7t2uHxypWoZFkkkhseDgcTE7nSCRPc3GCjoYFoBeyFRtrZ1VoGKw8FSUk4pKuLaCV2AAy/\nfBkneveGRCxWmk+use7SBRk8FEHJyv2tW3GHo3Q2PhBXVOCwsbFSW76G29nhqKGhwpu/pT56VLVV\nIud3kk1I5jTPW1xaiuCffsJ1TU3Enjsn9Z52WU4OfGbNgpOpKbJZ7h1XFBTA64sv4NS3Lwpk7FmR\nGRiIM/r6CNy1S+6KtsiLF3FKRwfZCg4Sib6+sNbQQLaS9qIZhoGtmRmCbGyU4k8Z7DM0RI6SD4Dl\n4cGuXbi9di3fMhTGs6NHcX7UKKVVjaYHBeGASIQ0BRXpVaOowA2oUPCuJvvpU9zu1QveY8eiSMqA\nyjAMYs6dwxUNDYT88QerBlUMwyB0zx650gkLExJg17077q1YIfeA44izZ3FKVxfZERFy2XmbwKNH\ncdLUVGkVmEmPHmG/np5SD0y5ZG/79siJieFbhtQ83L0bt777jm8ZCqGsoAB7tbWRImPzOrYUZ2Tg\nqKEhwmWs8q6N6sPJGDmL/sRlZchnOYxBKWPQ2vbrR2OePCHNkSPJvX9/ennwIIFh6rxGTU2NOsyd\nS+OfPaMMb2/ysLSkIikLc9TU1KjbmjU0wsGB/L76igI2bWLdHKulgQFN8fWlguhoujVpElUUFrK6\n/k1M5s2jIdu2keOoUZTz4oXMdt6m9/LlpG9uTjfnz6/3/VQEeoMGkYG5Ofnv2cO5L2XQpHlzkjSg\nA0BJRUWD2qOvi4dbt1LHsWNJp18/zn1JKivpxhdfkOns2WQ6a5bC7L55ONnhs89ktlOWnU3OY8ZQ\nyN697C6U63ZRC3WZzX/xAnfMzOAxbBgKpHzkZyQShO/ahSsiEV6dOcPqMaskPR23R47E7VGjUJKe\nLvV11YgrKuC1bBnse/ZEoZwTNcLPnFH4ClxcXo7zQ4fCd8sWhdmsi9yYGOxu2xYFKSlK8cclh3v0\nQCoHOb5c4f3bb7j7yy98y5CbnFevsFtdHQXJyUrx575yJa589plCz2vkSQd8k7zoaFwwNsaDH34A\nI5Go3rbJ20jEYkTu3w8HdXVE7Ngh9bZETlAQnLt2xf0ZM1DGohKrujuhvb4+0h88kPq6ahiGQcCO\nHVVNreT8snOxhVKYmorD+vqIcnRUmM268PjhB7gsW6YUX1xyvH9/JClw3inXeG7ciHt//MG3DLm5\nMm0afP78Uym+go4fr2ruJkM/pdpI9fdXSOBOffgQttraeP5Gla9KBO8yKVa5hTEx8Bo1Cm79+yNH\nyoPJypISPFm1Cg4GBki5c4eVrgQXF1zS1MRzGQ8iX9rZwUZDAwnu7qyvfZPqAJ6lwCZDKf7+OCAS\nIVMJjYtKcnKwV1MT6SEhnPviEpthwxB37x7fMqTG7Ycf4Pv333zLkIvYu3dh3b69UtoNJ/r6wlpT\nU6GH+mmPH1eNQ5Rzj7u2BnkqEbxvi0SIPXQITD2PKgzD4JWNDa5raiL4p58gljLFL/n2bTjo67NO\nKSyMi4PzoEHwmDwZZTJ0zEu+fx+nNTURduIE62vf5MX58ziprY0MBT62h547h6MdOihlBuZja2ul\nZgpwwUUrK0Qo6WlFETgtW4YnCpzLqmwklZU43rMnwq9c4dxXfkICDuro4JWcq+M3qV5xyzPHlmEY\nPP3jD5w1MKixNbVKBO/858/hO3w47vXtixwpxhmVpqXBd/p03OzSBRm+vlL5Kc/Nhc/s2axTCsXl\n5Xi0ahWuGhkhS4a0odzISJw3MpK7qVWUvX1VKb0CA7j3+vW4aGGhsLFvtSGuqMDRrl3xogE3SnJc\nvBjP5OgRr2zsP/+8QfVieZunR47grIUF5zf8iuJi2Pbti0cK7EeviMAtLiuDx7x5uDpgAIpqOTNS\nieANVN1lEs+fh5uODoKWLEFZRka91yZeuwZHHR08W7UKFYWFUvmLOX8eV0QihP79N6tDiVeXLuGi\nSCTTkIfqplZuM2awLiZ6k5dXrlQFcAXlnkrEYly1ssKtZcs4/5K8cnfHwQ4d5Oqvzifu69bBZ9s2\nvmVIje2IEXjF0exUrqneaktVcI712zAMgxuzZsF5zhyFff5T/f2rtkqcnWW2UZaTA0dLS9yaOhUV\nxcW1vk5lgnc1FXl5eL56NW5raCDuxIl6V6tl2dl4NH8+nA0NkSplV67CuDi4mZvjjqUliuLjpdaa\nGx4OB1NT+CxaxDoIV5aWwn3mTFwbMgQlUtyYauPl1asKbWZVVlCAU9274+n+/QqxVxeXp0xR2uGT\nonmwcyfcvv+ebxlSc7R3b6Rw0LFSGbitXo2by5dz7ufR9u0407+/wvbUXwduOfa482NjccnUFL5r\n1tS7uFS54F1NXmAg7g8cCJ8hQ5ArxYcw5dYtOLVvD7+5c1EmxT6uRCzG861bcUUkQvTp01LfeSsK\nC3Hvyy/h2KMHcllWQjISCR79/DPOdeiA7LAwVte+yctr16raySqoaCE3JgYHtbQQy/JQVxY/u9u2\nRR6LG6aqEHT2LK59+SXfMqRmt55eg3yfM8PDsUckQpEcCxxpiHJ0xCFdXRTImdJbTbKPj9wFOKl+\nfrDV0UGwlAsplQ3eQFWwiz95Em5aWgj++muU19PKtbKoCAFr18JRWxvxdnZSBeScoCDc7NUL3pMn\no1TKDwzDMIg8cQIXRSJEnz8v1TVv8uLMGdhoaCBRjmD5ytERJzQ1kaqg9LV4Ly9Ya2oi5+VLhdir\nDe9ff8W1L77g1AcXxPv44OSQIXzLkApJZSV+b9pU7mpfZcMwDC6OG4dHe/Zw6ictMBAHRCKkKOi7\nk+TtXdWPW47MsursNDYjF1UieEdu2oTKOsqoy7OzEbJyJW5raiLu+PF6t1KyHj2Ca9euuD9pEoqT\nkurVIC4vR8C6dbimq4vkW7ek1p4dHIyrnTrBb8UK1gMaku/dw2ktLYQdO8bqujeJcXbGCQ0NpEpx\nyCsNAYcP42TXrpyW0FeUlMDa0BAxDWw/tiA5GTu1tPiWIRV58fHYrafHtwzWRLm44EiXLpweoBem\npuJIu3aIsLdXiL0EDw+c0NBAooy93l9nlLRrx7ouRCWCd+Ds2birr4/kCxfqXC3nBQTAx8wM9wcO\nRF49hxnisjI837wZ10UiRB8/LtUq/HWXwm++kXpPuzwvD55Tp8J54EAUsnxMzY2KqqqY+v57mSu6\nXg81lqGgqCZuL1+Oq1ZWnA4xfnH9Oo6amkLMcqwdnzASCf784IM6D5BUhXhfX5wcPJhvGawQl5fj\ncOfOeKnAdL23qSwtxdlBgxRWYRx3+zZOaGggScb8f3F5OTzmz8eV/v1rzSipC5UI3gCQ7eMD3759\n4Td0aJ3pgoxEgvhTp3BbUxOha9agop5VYm5ICNwHDMDdESOkKrF/s0thlpR7ygzD4PmuXbikpYVE\nlh++0uxsOI4YAddJk1BeUMDq2mqqP0SKCODi8nJcMDfnbDo28M/j8aefwm/XLs58cMFBExOkK7hl\nLxc8v3QJlxvY1tTDHTtwafx4zuwzDAOnL7/EjVmzFJJZEuPiItd3riwnBzdGjoTr5MmsFwTxN27g\n+Y4dqhO8AYARi5Fw6hQ89fQQ8MUXKK6ji1tZRgaCliyBm44OEs6cqXOlKBGL8WLPHjioqyN82zap\nBhnHXryIq5qaCNq0SerHuLT793HZwABPfvyR1bBkcXk5vJYuhV2PHsiXsTVt3O3bOC4SybwKeJPi\njAwc69gRIRy2dM2KjMRudfUGNbDYbupUhCrocZtLvH//HR4bNvAtQ2ry4uKwW10d2Ryet/ht3aqw\nzJJoB4eq86YaZvJKQ150NC6amMDn229ZPXFLKirw+IcfcLldO6T7+alW8K5GXFyMl3/8gTvq6oj8\n+WdU1pHDnePvj/sDBkiVlVIUGwvvsWNxu3dvZEuRwVKSkoK7n30G1759kSdlZklpZibufPYZXAYP\nRlFCglTXAFUrg+B9+2CroyPzHnaCh0fVBGoF7CdnRUTAWlMTcRzObfRctw5OCxZwZl/R3P31V3hu\n2sS3jHq5NmcOAm1t+ZYhFQzDwN7KCj4c9mGJcnTEYX19hTS3irSzw0ktLZkHh6f4+lb1KDl4kNV1\nRYmJuGlmhjsTJryen6sSwbuylkYwpUlJCJo7F566uki0ta11df2vrJSvvkJ5HY2oGIZBjK0trmtq\nImj9+nr3thmGQdTRo7giEuHFwYNSPXIxEglCtm/HJS0tJLGcCB3n4gIbkQgvZVzhJd27hxMaGohT\nwMSROE9PWGtqIkvBvcWrKSsowD5dXSQ+fMiJfUUTdvUqLk2axLeMejnWrx8SFXSIzTURDg44YmLC\n2UDh9OBgWGtoIOXxY7ltRZw7h1M6OsiUsU9P5IULsNHQQDyLpAgASHJzg522NoK3bv1XDFRK8E5P\nT4e+vj4ia9hzJiL4amoi0dq61q2GHD8/PBg4EA8GDEBOHV/08pwcBH/9Ndx0dJBYz+FnaVoaHsyY\nAZfOnZEuxVZDfmQkbg0YgLvjx6NEykf9FC8v2OnoIOj331kdAGYGBuKsgQGe/vWXTPtzKQ8eVOWc\nylHlVU2IjQ2OGRmhmKO825Bz53CyX78GMTItKzIS+wwN+ZZRJwzDYGvLlihh0UmTL8oKCrBfXx9x\n3t6c2C9KT68aqmBnJ7etcFvbqg6fMky5YhgGj7dswbn27VmNOZSIxQj45RfY6+oitYb3iPPgXVFR\ngSlTpqBLly61Bu/CoCAEjRkDv44dkXruXI0NqhiJBElnz1bth0+fjuI6RlLl+PnBu1cvPLC0RH49\nd8kkR0fc0NeH/5IlKK+n+ZSkogJBmzbhqpYWYqXMIy9OTsbNYcPgNnYsqx7hRcnJuNy3Lzzmz5ep\npLy6o1mUAvZo723YgPNmZpyUtjMMgzPDhuEJy8dIPpCIxSofGPPi4xtMSqP7mjVwWriQE9sVJSU4\nN3gw7iugp3nYqVM4pacnU2vmypISuM+ciasDB6KYxflOcXIyXC0scHvkSJTUMteX8+C9evVquLm5\nwdLSstbgXU3O3bt4NmQI/Lt1Q4aDQ43B8fV+eNu2eLF+fa3ZJpLKSsQeOoTbGhoI+eabOgt8KvLz\n8eTrr3FDVxeJ167V+zNl+vvDydQU96dPR6k01ZyVlVU9wvX0kMJiD7miqAi3p0/HtSFDWP3iX+sM\nDsYpHR2Enz7N+to3YSQSOE6fDue5cznpgZIRFoY9IhHyWZwR8IXtiBGI4jCdTV4iHB1x/tNP+ZZR\nL2lBQdijocFJJSUjkeD655/D6csv5f68hhw+DBsDA+TI0Cq2KCUFVwcMgPvs2awWPskeHrDT0UHg\nb7/V+UTKafA+ffo0/vynl4WlpSVevHhRrwCGYZDl4oLHPXvimZkZ8mpJxSlNTkbwwoXw1NZGwvHj\ntbaTLc/KQvDXX0tV4JPh44ObXbrAd9o0lNSTdykuLcWz779nVdiT7O4OOx0dBGzeLPU2ASORwP/X\nX2VK4geA7IgI2Ojr47mc7UEriotxZsAAPODoYOn+b7/BbuJElW8b6/Hzzyo9oebur7/C4+ef+ZZR\nJ4xEAlszMzyTo0CtLu7+8AMumJvLvY8euG8fbA0NkSfD4OmMgACcNTDAk99/l/ozLRGLEbB5M+x0\ndJDi6Vnv6zkN3sOHD4eFhQUsLS3xySefYNCgQUh76xGAiPDTokXYvHkzNm/eDC8vLwBVaYOptrZ4\nqK+P559/juKoqBp95D19Cj9zc/j07ImsOn7gvMBA+AweDJ8hQ5AfHFzr68SlpQjZtAnXNTQQfeJE\nvW986t27cDAwqCrskSJfszglBa4WFnAbO1aqVXs1L+3sqhqyyzB1Oi86Gqfbt0fgvn2sr32TwpQU\nhVanvYm4vBzHunVDmIqn4kU6O+Ps6NF8y6iVi1ZWCLt6lW8ZdRJ48iRsBg3ipBAs4NAhnOjSBSX1\ntNKoj6d//40zRkbIj4tjfW3M9euskw5K0tJwe9Qo3LK0RHEtC0cvL6/XcXLz5s3Kyzapa9vkSbt2\nCJs4EYU1pN+IS0oQt3UrfNTVEblyJcpq+MEYhkHKlSvwMjTEsylTUFRLoGckEsQdO4bbGhoIXbsW\nFXWMO8oNDpa6uOd1YY+JCbKePKnztUDVNsqTdetwuV07ZLDIFU198ECmNCMAyI+LwxkjIzzdvp31\ntW+SHhRUdXrPwUiwxIcPsVdbW+4vHpcUZ2Zi68cfq+wB6x59feTIsFJUFsWZmVXtXhXUFfNNol1c\ncFBbG7ly/PwMw8D/999x1tgYhVK01nj72mfbtuGMnh7SWWS3pHh5wV5PD882bZKqH02mnx/i7O1V\nI3hLSkuRvG8fHuvqIszKCgU1BMDyjAy8/O47+LRpg+gff0RFDV9wcWkpordtwx11dYStXo3yf/Ih\n36YsPR2BixbBTVsb8adO1boCkIjFeLF3LxzU1RH255/1FutUF/YE/vyzVL1O4h0dq0at7dwp9Sok\n/9UrXOraFfdWrGBdXl6YnIxzpqbw++UXubYnXjo54aCOjlxfktq4tXIlXJYuVbhdRXKoWzckKSD1\nTNHkJyZih0ik0ltPN+bPh/t33yncbnWzqWQ5UiQZhoHvjz/iQvfuKGJ5xlRRXAz3WbNwpX9/qYeP\nV8a6IsAAACAASURBVGeT2OnoIEmK1F5xeTkCN27EVS0tJDg4qEaedzWS0lKkWFvjsZ4ewiZMqHEl\nXpqYiBf/+x98RSLE79hR4yi0svR0hK5YgTsiEWJ27ao1kOY+fgyfIUNwr1+/Okvyi+LicG/8eNzq\n3h1Z9ayUS1JT4T15Mpy7d0eOFHvUhXFxcBkypCr5XsptlLK8PLiMH48bo0axGq4MACUZGbjYuzfu\nr1kj15f82cGDCnk8fZuy/Hzs19ND/P37CrWrSG6tXo37f/3Ft4x3eG5nh0uTJ/Mto1aib92CtaEh\nyqUcnCItBYmJOKyvjxdyjExjJBLc/eor2A0YgFKWn+mi5GRc6d8fd+bMkbonUnFKCm5ZWuL2qFFS\nJSPkPn+Om717w2vixNepyioRvEvfWsFVB3F/HR1EfPEFimtI0SkKD0fI5Ml42K4dUs+cqfHAsjA8\nHE+trODVoQNS7O1rDFYMwyDx3LmqCT7/+1+tWSkMwyDuwgU4amnh2bffoqKOPiQMw+DVmTO4IhIh\nbMeOeh+xJRUVeLJ+Pez19ZEqZXm7RCyG75o1uGBsjFyWJ+GlOTm4PHgwPJctk2vf8e4PP+DCsGEK\nTyGMuHaN08INeYl0cYHtiBF8y3iHm998A18FjvNSJGX5+TjQrh1eyTmQ+x27BQU43asXHskxbFlS\nWQm3efNwdfhwlLPsqFl9MMmmJuN1NsmWLfXHBrEYYTt34opIhJcnT/7Lh0oE76fq6ni1bBnK3joc\nEBcVIXH7djwSiRC1eDHKaujal+vjg2eDB+Nxz57IunWrxjcwy9MTvn364KGZGfJqKWutyM1FyMqV\ncNPSQkIdwxnKsrLwaMECOLVrh+R6eu8WxsbCbdgwuFtYoFCKg49EV1dc0tKq2kaR8oMQdvw4Tmtq\nIollGXt5QQGuWVjAff58mfdvGYkEjl98gRszZyr08IlhGNhPmoT7v/2mMJuKpKygAFtbtlS5DoNH\ne/dGgopWq7p+/TWclyxRqE1JZSWuTJgg1xg/cVkZbk6bBsdx41j/PqsPJqOlXPFLxGIEbtkCOx0d\nJEvRwqIwJgZu5uZwHz4chTX0eVKJ4F2ZnY2En3/G07Zt8WrRIpS8tdKuzM1F3KZNeNS2LV4uX47S\nt34QhmGQce0aHhkbI8DCAnk1fIAZiQQJJ0/CQ0sLwQsXoqSWfancJ09wr39/+JiZIbeOw8fUO3fg\n3LEjHs6ejdJakuiBql9Y6PbtNd45a6IwLg7OAwZUTayX8vEt6e5dmabUVxQVwWHUKNyaOVPm9qyV\npaU4P3QovH78UabrayM/IQF7RCJkylDRpgxszM0RJUPmD1cUJCdjW+vWKvm0Euftjf16eiitpwiO\nDQzDwH3lStiNHi3zZ7eiqAiOY8fi5rRprPrxMwyDp3/9xepgsjg5GbdHjoSrhUWt2SRv2n954gSu\niEQI37Wr1oWRSgTvaiqzs5H0++94qqmJyKlTUfTWiXRFZibifv75dRAveysASyorkXLqFB4aGCBk\n0iQU1lCKWpGXhxcbNlQV+WzYUGORDyMWI/7UKbjp6CBw4UKU1rInVVlcjKB163BdQwOv6gnMOcHB\ncO3bF55jx9Y7N1NcVgb/776r6h4mZcvJnBcvcMHYGL7ffcdqgkplaSmcJk6Es5WVzNsfJVlZONGl\nC54eOCDT9bXx9PBh2AwapJKZHb47dsBZCXMWpcVn2zbcUMGD3oriYhwyMkLkjRsKtfto+3bY9OyJ\nsjoyxuqiNCcHl4cMwZ2FC1l9XyqKiuD2xRe4OnAgiqRsdJXg4oJLWloI+v33ej/LJSkpuDthAm72\n6YPcekrpVSJ4p2/dCvEbvwRxURFS9+3DM11dRE6e/G4Qz8pC7Lp1eNSmDV599x3K31r5iktLkbBn\nD3w1NRE+bx5KanjkKElIQPCCBfDQ0kJcLX1VKvLzEfbjj7gtEiHG2rrWQqCcwEC4DxgATwsL5NdQ\niFSNpKICz//8E1c0NBBz7ly9q/D4GzdwSVMTIdu3S7UtUZaTA6cxY+A8bhyrD7W4ogKuM2bAYdQo\nmQ+T8mJjcUhXF5FSVKhKCyOR4NyIEXgox34mV2RFRmKXjg6nQyukhWEYHOjcWSWbUd1ZuxbXFTz7\nM/T8eRxp1w4FLFP5qilOT8eFnj1x/7vvWP3+CuLjcbl3b3jMmyfVQkdSUYEnP/6IywYGSPP1rff1\nsXZ2VW2of/mlzsy2DB8fJFy+rBrBO37uXISqqyP1l19Q+UZ6n6SkBKn799caxMtTU/Fq1So8atMG\nsT/99E76YGV+PmI2b4ZP27aI+uabd4I8AOQHBcF/zBjcMzFBRi3pOgVhYXhgYQHvPn1qzUqRiMWI\n3L8f10UihP72W52PYdmBgXDu1g33v/gCZbWkM1ZTGB+Pm0OHwm3cOKl6o0gqK+Hz7be4aGKC3Fry\n3WvTf2fRIlwxM0OZjI+3qc+e4YBIhCQF7rvmxsZij0iEDDkGNnPFQRMTJHGQ786WuHv3cKhrV5VL\nEUzy88NebW0UsyhGq484Dw9Ya2oiMzRUpusLk5JwtksXPNq8mdX7lebvjzO6ugiU8jyqKDERN4cO\nhfv48fVmkZVlZcFn5syqOpE6tmEqCgrw9Jtv4KijgyRHR9UI3gBQ9vIlEpcuRWibNkj+/nuUv7El\n8nYQL3zrByyLj8fLZcvwSF0d8b/99k6L2fKMDEStXg0fdXXE/fnnO/3BGYZBmpMTvI2M8NTKCoU1\nrJ4ZhkHi+fNVWSnLlqGslp4MxQkJuD9pEly7dkVmHSshcWkpnq5Zg2t6evWW10sqK/F0wwZcNjCQ\nehsl7NgxnNbUZDXkmJFI4L1qFS716YMSGXtOvHJ1xUFtbWSzuHHUx7Njx3Cqf3+VG5t2Z/16lShF\nvz5/Ph6o2FSiytJSHDU1RfjlywqzWV0gFi9jF8L82FjYduyIpyyf5F7a28NGJEKMlFs/1YkHb7dw\nrYkkFxdc09XF0+++qzPNMOXWLTi1b49HCxa8PgtTieBd8sbqpTwhAcmrVyO0TRvEz5uH0jf2faqD\neICBAcJHj0a+l9e/7oIlL18ict48PBKJagziJdHRCJ05E75aWkjYu/edHHFxWRle/f037ohEeP7V\nVyit4WChIjcXz1evxm2RCNE7d0JSw+MNwzCIt7eHo44Onnz9Ncrr2MJI9fDA9fbt8XDhwnpzthOc\nnXFJUxPB27ZJ9biX5OUFW21tBO3ZI/Uqg2EY+G3ahLPGxihgOZOzmqDjx3HMyAhFdRzksoFhGFwc\nO5bThv2ykPT4MQ506sTrirc4MxPbP/mEkwZP8uC5bh2ufv65wt6b3JgYHNLTQ4SMN4Ps8HDY6Osj\nyNpa6msYiQSPNm6s6itUz8xc4P/PqqRJ+a3Iz4ff4sW4bmiItH9agtREcVISfKdPh3PHjkh5a5Gn\nEsE7ql07xA4bhoLr11/vK4tzc5G+dSvCtLUR89lnKLp///UHQVJejvRTpxDYqRNCzcyQe/Pmv4N4\nVBQi58+vCuJbtqDy/8g7y/gor63t7+rpOadCkpk4CQQLGpyioUiA4IRiRQvFirtDSwuFUqB4obhb\nkOLBPRA0rsTdJhmX+/9+mJATJ9D2PDzPu77AL7nvGZjZ99prX+u6rlUEBsh9+pTn3btz19GRhN9+\nK4Z36zIyCJ4+HR9LS0IXLsRQAqc7NySE+56eXHV1JbUU2o8uM5OHY8Zwyt6e2CNHSl3I+pwcfMeN\n47iDA/GvoB8qY2PNMIqHR6lWkQUjJzqaw25uXBk+/LU66k/WrGFHxYpvZIMJcGvRInY3bvyXCTIU\nsbGslstJKsdD9N8KSZJYV7Xq/6ja8uaPP3JyxIj/sfcvKeLu3mWNjQ3K17BALitUqalsrVaNR6+R\neAtGip8fv9vaErR7d7nv0SkUnOvRA+9WrVCV4/+RHRLCSTc3rvbp80qWWNKVK5xwdub+mDGl6kUK\nqrufL1xYYlX+ViRvyWBAcegQUU2aEF61KhkbN2LK41yaNBrSt2whuEoVwps3J/vkyfyqUzIaST94\nkGd16vC8QQMyjh0rVJGqw8IIGzbMDKcsXlwsiSvu3+dphw7cc3Eh+cCBYtWsOjq6zEk+kiSRdOoU\nPpUq4de/P+pSGiipt29zrnZtbnh6oixjRmXytWucqFSJ+6NHoy8j6eVbzNrbl8t97E2tZYN27eJ3\nW1tSyjmIuWBIksS5r7/maJcufxnc8Wz3brbWq/dW0eGuLV7M+cmT/0fe26jX84uDA0lv4Db5d4Ve\npWJT9eoE/Qm1Y8HQKZXsbtKEG28IT8XfvMk2uZwIb+9y35MdEcHBWrW4Pnp0uebXRu7fzwGZjJAt\nW8o8aRiUSh5MmIC3o2OZUGmWvz+Xmjblatu2ZRIg3orkrcoT10iShOrmTWJ79iRUJiN1yRKMebuY\nZDSSdeQIYY0aEVKzJpn79uVX6ZLJRMbJk/g3acKzWrVIP3KkcBIPDyds+HDuy2TE/fQTxiJk/Myr\nV/Fr3Bi/xo3JKgFPy7p/nzvNmpkn+ZSAORtUKoIXLuS8lZUZSikhWRl1OgKXLcPbyorgn38ulTKk\nVyi4O3w4J6tUIfUV+HaCjw+H7OzKZWgjSRIPv/+ePRUrklIO86yXEXHiBNvkcuLKONqVFka9nqOe\nnpwbMeIvOT6/FO9cfQtw5peRHhbGz9bW/yOCHf+DB9np7v5ff9+y4sLEiX8Zu+SlCOfs8OFvtH6i\nz59nq0xGzGuoOuOvXWOnjQ3+mza98lqDRsOdMWM4VrUq6a84EabeucOpqlW5M2RIqfCoUavFf9Ei\nTshkRJRiX21QqQiaN4+gOXPejuQdX6cO8bVro9i0CVPeMUIbEkLC118TYmFB0rffos2TgEuSRM7F\ni4S3bElw1aqkb9qUX6VLkkTW+fP4N27Mszp1SNu7F6lAUlMFBxPcty++dnbEr15dKIlLJhPJBw5w\n19mZZ56e5BSpNiWTifi9e/Mn25fkXJgbFsa9zp256upKcikCjtyICK62a8fFxo3LHIIc6+3NMRsb\nHs+aVWYjQ52czIUOHTjn7o6yHNSpSG9vdsjlhLzGETL2yhVz9XLiRLnveRl/tnIqGrlJSayxsSH+\nLaLFHfby4tafdGt83ZAkiW1NmxL0GhXl3x2RFy/yq6PjXzJp6OXJ7Ujnzm90cgs/epRtcjmJ5Wzw\nw3/UynHlUD9mBQVx0s2Na19+Waak3qBW82j6dI7Z2hJbxneVfPUq52rW5GaPHqhKeI4lSSLh2DHz\nKX/AADSJiW9H8pYkCfXly6T07k2MhQXp336LLk9Zp4+PJ2X+fEKtrYnp0oXcCxfyq3TlzZu86NmT\nALmcpAUL0OdBApIkkXXhAoFt2/KkUiWSNmwolKhznzwh2MsLXxsb4n76qRCmbdJqiVu/njv29vj3\n6kVuEe9vg1JJxI8/4mNlhf+YMWiL4M6SJJF85gxXqlfHt1s3lBERxf7PkiQRtXMnJ21seDxlSqm4\nlzo5mZtffsmp6tVJuXWr1M/QZDTydOlSDtrYEPsKzBwg3d+f/dWqcfPbb8v9YCQ/fMjvtrYEvKaK\nE8yY5TZXV3x//vm17y0pgo8dY2OVKn+5wdGbRkZ4OCusrFC8Ie/4TSLqyhXW16jx1giYlKmprLW3\n50U5YLzyxI1589jdpMkbfcf+W7aw3d6e1HL2R4x6PTe//ZYDNWq80idIkiRCtmzhgJUVoVu3lnki\nSLt/n9Ourtz88ks0pTSU1YmJ3B00iNNOTsSVMj0s++lT7ri7c61uXdIKfL5vRfJO790b7fXrSJKE\nITaWzAULiLGxIalTJ9Q+PkiShEmtJmv7diLr1SOiZk2yduxAysOjtKGhxI8bR0CFCsSNGoU2PDz/\n9XPu3SO0Vy8e2dgQv2wZxgKJUunvT8iAAdyXyYj98UeMBRaKUa02C31sbAgcNKiY0EeXnk7Q1Kn4\nWFkR8dNPxZgrJp2O8BUrOG9lRfCCBSUOatCmpeE7YgSnHB2JO3681IUQc/w4x+3sXkknSr55kyMV\nK+I7deorm5ParCzOdu3KybZtUZeTh5sVFsauypV58AaDkRWxsWx2dub5jh2vdV9pcXrYsLfKOvbK\n/Pkc/4vFKGXF7vbtefInx9v9VfESzroya9Zf8np+69axtXr11x56LUkSD5YuZZeLC9klFE0lhTot\njZNt23LG0/OVwjZtRgZXevXiVP36ZJXRyDdqtTyZO5dj1tZElzKQQZIkIrZu5YRczrM5czAolcXf\nLzWVp6NHc8HamhebNxeDRt+K5J27cSPJNWqQ4uaGcscOJI0Gk0ZDzvbtxNeqRXy9euTu3o2k05kr\n7itXiPHwIMzBgfRVq/ITsiEtjaRFiwiQyYj56is0BYj8qsBAwgcNwk8uJ2H58kJJXBUcTEj//vja\n2pKwbh2mAonPkJOTL/QJnzYNfRFRjTI0FL8ePbhWuTJJx44VS2rquDj8+vfHx9mZxFISdMqNG5yr\nWZMbXbuW2tDUpqdzs18/TtesSXoZDURtRgaXe/bkdKNGKApsYiWFyWjk3uzZ7K1cmfRXDGp+GcrE\nRPbXqcOtGTNeO4Gnh4SwwdaWsDeAX4qGVqFgg4sLwX+hovPPhE6pZI2TE9HldIX8MxF3/z5rnJze\nGt673+bN/N6wYbmae6+K4MOH2ejgQHYZjf2SQjKZuDFpEvvr1UP5Cu+Ql5H+/Dl7K1fm3uzZrzzB\npNy7xxEnJ3ynTClbgPfoEX/UqcP1nj3zrVuLRk5YGFfbtuVS06ZklfDcSUYjLzZt4oJcjv+UKeiK\nwFCS0YguI+PtSN76u3cxGY1ozp8nrXNnEq2tUSxYgDE+3tzEPH+epPbtibW3J2v5cox5laL60SPi\n+/cnVCYjZf589HlfmlGhIGX5cgKtrXnRpw+qAg06dVAQ4QMG4GdtTcJPP2EogFflPnlCYNeuPHRy\nIvn33ws1HrVJSYSOHWv2ES+h6Zl2+TK36tblXps2ZJfQEEy7epWrtWpxt2NHckowWzLqdAT++CPe\nVlaErltX4mKSJImo/fs5Kpfz/PvvS2yMvrwuaMMGDshkROzdW9bHD0Dovn1mEUI5k6omI4PDzZpx\nedSo1z62J/n5sV4uJ/o1XRBLivh791hjbY2inOb3f3cEHj3Kprp1X8sr403iYI8e+L7BNKW/I9KC\nglgtk5FeBiuivBF95Qrr5XJSyhhTWFIYdToufvUVR1u1Krc6ONLbmx0yGaH795d5nWQyEfDLLxyU\ny4ku4/kw6nQ8W7y4TOsLo05H0PLleFtZEbJmTYnPTtaDB9xs0oTbrVujKMHbJOPWLW43bEjwjBlv\nR/LOcq1KtlttNGvXYEpPRx8cTNb48SRYWJDeuzeaixeRTCa0T56QOmwYMRUqkDZ8ONq8hp8uIoLE\nceMIqVCB+AEDUOfxbk1KJalr1hDk5ER4q1Zke3vnd3BVgYGEDxyIn6UlMbNmoSuwWyvu3MG/fXse\nOjmRuH49pgKQiCokhIC+fblja0vsL79gLABjSEYjMb/9xhV7ex55eaEsUvma9HoiVq/mgkyG/+TJ\n6EtYaIrgYC63asWlJk3IKKXCVsXFccXDg7P165NRxjip9CdP8HZ15eaQIWX6jwOkPHjAnooVuT9/\nfrkSsi43lxMdOnCmd+/XNrSKuXaN9XI5SW9AQSwat374gT1t2vztCbM8IUkSez08uP03erHE3bvH\nLw4O6Mtp+v93hkGrZaub218ySDj+7l3WyWSvrZ7UKRSc6NCBP7p3Lxfjx2Q04rtgQblYV6qkJC52\n6sQfTZuSU4I/0svIfPqUs25uXPX0LLHZCJB8+TJnXV250aVLiadrdXw8j4cO5aKdXYmW1DkBAfj1\n6MFVJycS9u9HkqS/N3kbjUZGjBhBy5YtadWqFQEl+BEIITDGx6O/cZ3cIV+RafUZuV8NQH/lMsac\nHJS//UZKgwYkubiQs2IFxtRUjGlpZC1fTmzFiiS2aEHuwYNIej3G7GzSf/nFLPpp3Tpf9CMZDGaa\nYePGhLi6krFzZ74yUvviBS8mTuShhQUvJk4s5FSYc+8egd268cDRkcTNmwupKXOfPcO/Vy/uOjqS\nuH17oeRhVKnym5pBU6eiL3Ls0aam8vSbb7hoY0P0b78VM7ySTCYid+zghLU1fhMmlKjQlCSJyF27\nOCqX83jOnBInCoGZ433nm284VqUKaa8Qk6hSUjjZti1/eHigeYXnCpixvfP9+3Pc3f213d3CTp5k\ng60t6W8oAnoZJqORfe3bc33Roj/1On9VZEZFscLKivS/0B7gZeiUSn5r2PCtwbovTZnC0T59/jQN\nNPnJE9ZbWxN57txr3adMSuJA/fpcHTu2XJu3NiuLM56enGjT5pXCm9g//uCQra2ZhlvKCdek1/Ns\nyRKOyuVE7t5d4uegSU7m7oAB/FGpEvEnTxa7xqBSEbJkCectLQmaO7eYIFAdG8vzr7/mslxO1C+/\nFHrO/9bkffLkSUbmGbBfv36dniWMaBJCoLCtgKp/HwxXfDCmp6PZsJ7s+nXJql0DzYb1mBQKdL6+\nZI4YQUKFCmQMGoTO1xfJYEB5/DhJbduaIZXvvsOYnFyy6EepNNMML18mskMHghwdSV2zJr9JqUtK\nImbGDB5aWBA1blyhwQ85vr4EeHjwsFIlknfuLEQ/zL53j8dt2uBbsyZpRb4cbXIy/mPGcFku58Wv\nvxZbBFmPHnGrZUuuN2hAeglsEm16Og+++YaTdnZE5+22RUOdlMSNPn34o3btMqmHL44c4aBcjv/K\nlWVK600GA3emT2dvpUqkl+P4KplMXJ8wgQNubq89989/1y42OzmheEMZ/svITUpirZ0dL/4CKOav\niLurV7Orbdu/VDZv1OvZ7+nJiWHD3goDqvBz51hXseKfHoOXHhzMBltbQl5z4n12RAS7q1TB97vv\nyvV5pPv7s79qVW5NmlRmr8Cg0XBvwgSOODuTXMYovsxnzzjboEGp1bYkSURu384JuZyns2YVIyxI\nkkTi8eP4ODnh168fqiLVuF6hIGT27P9YVxc4pZv0enQpKX8/bGLMqyp37drF8OHDi7+oEJji49D9\ntoncxnXJrVMN7ZpVGNPS0N+8QU7/vmTKLVBOnogxNBRTVha5q1eTVKkSqc2boz5yBMlgQPf8OWmj\nR5shlZEj0QUHm/HyW7eI7dUrHxc35HWwVQ8fEt23LwEyGUmLF+e7GepTU4mZM8c8GOKbbwoNfsi+\neZPnbdrgV706qQcP/kfpKUmknz3Lg7p1edSiBVlFEnGOvz8POnXiRvXqJJ86VWixSZJE/IEDXHJ0\n5NHAgSUOiUi7e5cLbm5c9/BAWcJEHkmSiNq3z4yFL11aahWSGx3N2RYtuNix4yuVlq+Dg7+cuP06\nXf6X8WD1arbVqPHazIKiEXnxIr86OPxlkuw/Eyajka1NmuC3detf8nqSJHFyxAj2e3q+FU3KnIQE\n1tjaEv2GBlEvIysqik2Ojvjv2vVa96U+fsx2e3ueb95crusjjh5lh0z2Sm2DIiyMU/Xrc7Vv31Kx\nc5Nez/OlSzkqkxGxY0eJG8fLhuTFRo3ILAHWzNeD1KpFWhHxm2QyEbt9O1dsbXk2fDiaAhuDJEmk\nnTzJ/Ro1iPxviXSGDRvGp59+yqUSlE5CCNQOFdCNHYHh+lUMd26hHjEYhc1nqL8eguH6VYzR0agW\nzCPT3hpF545oDx3EpFKhPnaM1JYtSXJyQrF0Kcb4eDOksmQJMdbWJHt6ojp71tydDQsjcfRoQiws\nSBw3Dm1e01AbGkrsyJEEWFqSMG0aurwqUJ+eTuyCBf+Z7pN3vSRJZPn48LRZMx7Xrm1O4i+VnkYj\nSbt3/0foU6QSTj1/npu1a3O/bVuyikAYBqWS4PnzOW9lRfiKFcU62ia9Pl+hGfLLLyUe5VRxcVzu\n2JHzTZqQWQp7xGQw8HjRIg7Z2hLzCpe0lAcP2O3oyIMlS8plhPV882a2OziUm1/7Mm7Mm8euRo3e\n2Fj/ZVydM4cDnTq9FR7byc+esVImI6sc4+/KCkmSuDh9OtuaNUNXAp3svx0mg4E97u5/ekRdTnw8\nv7m48Hjjxte6L/byZbbJ5YSXo1I36vXcnTWLvc7OpL6ivxKxbx8HZDKCN24stZIvNFAlNrbY7w1q\nNf5LlvznGS1SROkVCoLmzi1RiS1JEqkXL3K7YUPutmhRLD9kXr3K41at8K1dm/Q8L6f/WsMyOTkZ\nZ2dn1EUaLUIIFg0dzILOHZlvb83Fitbol8zHeP8e2vVryW1SjxzXymh/WIIxNATtwQMoPNqTaSdH\nNWsGxtBQdH5+ZI4ZY25w9uyJxscHo1JJzvbtJDRuTFylSmaWSmoq+sREUhctItTGhpiOHck5fdqc\n3GNiSJg+nQBLS6L790eV9+HlT/eRywnt1YucPGWfJElknjvHs88/51GNGqQUUHMaNZr/CH28vFAW\nwPpNBgOxW7dyxd6ex/36FWtq5oaF4dujB5ddXEqkFuaEhnKtY0fO16lDSgm0NEmSCN+6laNyOU8X\nLCgVC0++dYujlStzd+zYEjnoL0OZmIh3q1ZmHmw5lHNhhw+zTS4nthwqtYL/Zp8JE9jXosWfEt4Y\n9Xp2t2rF7bdksvvdX35hXbVqxL6Gyq9gSJLE+cmT+a1Roz8NT/xVcXnGDA506vSnxEHKlBS2ubq+\n9tDg4L17y23VoEpO5kSbNvzRqVOZ9sbarCyuDxyId82apJfS/Dfp9Tz/7rsyRxkmnDnDH5UqcdvL\nq9jp2GQw8GLzZi7a2vJk+PBiHkiZ9+5xv21bblSvTmIRA7us69d57O7O/apVOT5nDosWLmTx4sUs\nXrz4703ee/bsYdmyZQAoFAoqV66MtkhFKYQANydoWx+2rMV08xr6OdNQu9ii7dga/YE9GO7dQT35\nW3IcrFB2aY/+4H4MgYGo5s4m08EGRfu2aA8dxJiejnLrVpLr1iXZ1ZXc9esx5eSgffCAtBEjQnyC\nYwAAIABJREFUzJDK6NHogoIwabVk79lDVOPGhLu4kPHrr5iUSowKBamrVxPk7PwfhorRaJ7us24d\nj52dCXR3J6uAH0uWjw/PW7fGr0oVknfsyN9RjSoVMT//zG1rawK/+gpVgSaWQakk/Icf8LGyIuDb\nb9EWOe6n+vhwrU4d7ri7k11kUUmSROyRI5xydOTekCElztBUJSRwo08fTteoUaqvuC47m+sDB3Ki\nVq1SK3UwJ8Vbkyezz8WlXNaY8devs83ampB9+155bf7/yWTi/KhRHGjb9k/5hCji41lja/vW4N+B\nR4+yys6O85Mnv1blLJlMnBk/nm3Nmv2lsx//TAQdPcr6SpVQlaOZXVqoMzLYUa8eNxcuLPc9kiTx\ncPlydjo5kV6OIQzJvr7sqVgR30WLyjyFJd24wRFnZ+59+22pBUzGkyecrV/fjG2XAGmqExO53bcv\nZ6pUIakEZCH9xg3zc/zFF8WeY2V4OI969+aqoyOx27YVqtQVDx7wpF077lWpQtKuXfm/M6rVxK9a\nRcKvv/69yVutVtOvXz/atGlD8+bNOX36dPEXFQI2rIRTR2HsYKj8GQztjfSHN0bvo2h7dkJd0Qrd\nzMkYnzxGf+QQSs8O5DhZo1kwB2NYGLqjR1B06pBfjRuiotDeuEHGl1+SYGFB1oQJ6IODMaakFIJU\n1FeuYDKZUN29S1yfPoTK5aQuXowhLc3MUDl8mLAmTcxGWHv2IBkMmPR60vbuNTsZurmRcfx4/gLJ\nvn4d/3bteFipEklbt+YncUNODi+WLuWWlRXBI0eiKbAz69LSCJw8GR9LS8KWLCk0KOLljn3B2pqn\nI0cWk+Lrc3N5OnMmJ2QywrdsKXGhxhw9yjEbG57Mm1eiuECSJMJ37+aATEbQ+vVlNn/CDhwwc2PL\nkZTT/f3ZUbEifitWlLvBZjIa+WPwYA57eLzxPE2AyEuXWGtn99bwv1Xp6XgPGcLaypWJLMeJRDKZ\nOP3NN2xv0QJtGb4Z/814yedO/BP0Tm1ODnuaNuXKtGnl95cv0BDPLcfMyKDff2eHXE7UyZOlXvPS\nlfOQnV2pdhIFeduRu3YV+/dKJhPhmzZxQibj2bx5xZTPmoQEHg0axKWKFUk4erTQ/frsbIJnzDCr\ns5ctK0Q3VoWHE9CvH3fs7QvZVZt0OhI3buSBvT1BvXuj9Pd/O3jeTBgKVT+DEX3g5GHYsRk6fQ61\n7WHZQkx3bqJfMh91FTu0HVphOLAH47OnaGZMIcfeEpVXd/QXzmEIDUE1czqZNlbk9O2N/uoVDLGx\nKBYsINHGhjQPDzQXLmBSqcjZto34mjVJqF/frN7UatGGhJA4apTZDGvSJHQvXpgZKj4+RLi7E+zi\nQvrWrZg0GjNscuoUzxs0MCfxEyfyk6fi9m3827fHr2pVUg8cyMfE9ZmZRM6bxy1LSyJmzixEIVRF\nRfFk0CCu2NsTv3t3oUSsz8oiYNo0LsjlvNi4sRi1MMvfn0vNmnHF3Z2cErwZ1MnJXO/RgzP16pFR\nSuWsCA/ndOPG+HTrVqoPA5hVaftcXLg7c+Yrj865cXHsr1OH6xMnlvuYbTIYOPnllxzr3v1PKfZu\nL1vGzs8/f6vsY8POnmV1xYqcGjWqkHmTUacjLTiYwKNH8Zkzh9+bN2dH69ZoX8HN/2+FNieHza6u\nPNm+/Y1fQ69Wc8DdnQujR5c7cb8OFdWo03F97FgOuLqSWQb9VBkXx9lWrcxjBUvxw8949Igz9epx\ntWvXEpkkWf7++LRogU+LFsWGBJt0OiJWreK8lZWZ+lfgtGXS64nZvJnLNjY8HzUKbQHSgC45mbAJ\nE/KnfRnz7jPp9STv3MnDSpUI6NSJnALc9LcjefdoCut+gHXLocvnUFMG00fDwZ0wczxUswLPlkhb\n12Pcvxttr86oHS3QjR+J4dIFtDu2ktuiMTmV7dHMm4XhyWM0WzaT7VaHrBpVUC/7AWNEBMqdO0lx\nczNzxpcvx5CQgOrcOZI6diTG2prMuXMxREejT0ggZdYsQq2siO3WDWWev4ry5k2iOncm0MaGpIUL\n0ScmIkkSGSdP8rxhQ566upLy++/5op6sy5fzMfHknTvzd1FtQgIho0Zxy8qKqEWLCtGAMu/d406z\nZtxycyOlyJAJhb8/t9u04VrduqQWOaKZjEZC167F28rKXAkUOaIX5YWX5JFi1Ol4OHs2h2xty1ST\nadLTOdWuHac7dHilL4o2KwvvL77gdLdu5cazjXo9x3v0wLtXrzdO4JLJxNHevTkzatRbQa17GVqF\ngjPjxrFSJmNrkyasq1qVpf/4B+uqVuVA9+5cW7KE0D/++FMnj78yJEniaJ8+nPnmmzd+DYNGw2EP\nD04PGlTuTfzluimPCEwRFcWxJk0436tXmQ5/UYcPlzmJyqjR8HjOnFJ527qsLPwmTOCEXE745s2F\nXkOSJBKOHOFylSrc69yZ3AJFlGQ0krB/P9erVsW3XTsUBQoobWIi4VOncsvCgrBJk9DlFU4mjYbE\nDRt46OzM87Ztyc6jLZo0GpK3bCF11663JHmvnAtThkBdC/BqBb8sgWXzoU0daFQJls6BHZtg1ACo\n9CkM7Ia0exv6VcvRNKmDplYl9N8vxHDhHJq5M8lxtkHZvjXavbvQ37yJcvxYMuUW5HT3RHvmD7R3\n75I5ahQJFSqQ7uWF5uJFdMHBZEyZQoylJck9eqC+eBFjbi6Z27YRWbs2kXXrkrVjByatFk1QkNkI\ny8KC2JEj0YaFIUkS2VeuENylC49sbYlftgyDQmHGxK9cKaTYfHlMUkdEEDxihDmJL16cn8QlSSL5\nxAlu1KzJvVatyChAPZQkiURvb65Urcp9T09yigzmVSckmF3KKlYscXqPOimJW/37c7JKFRJLmW+Z\nfPs2RytX5s7o0ehLwWlNBgP35sxhj5MTya8YwmvU6bj89dccbNiw3L4TRp2O4z16cLxnzzdO4Nqc\nHH6rXZuHr8lo+G9EdkwMERcvkhYc/Jd4gvxdcfvHH9nRrNkbn2AMWi1Hu3ThVP/+5VbB5sTGlvvE\n9uL0aXbI5WWO+tNlZ3NzyBCOV69OWimqytS7dznt6sqNPn2KeZJIkkT0gQOctLPjwejRaIsULNmP\nH5v1GvXrk1rkmUrz8eGWmxt3P/+c9AKOgPqsLCLnzDEPR588GW0eJGTSakncsIEHDg4EduuWT5Aw\n5uSQsHIlj+zsCPH0JOfevbckeQ/pAPUrwNTB8Ot3MHEQ1KkAQzrDppUwfzLUtQOPxrB+JWxdB93a\ngKs10vypmE4eQzdrCupK1mjbt0C/ezu6wwdQ9fJEYWeBetI4DHdvo921k+xmjcmqVhn1zyswREWh\n3LLFrOCsVo3cdeswJCWRs3Ur8W5uxFWrRvbq1Rizssi9eJGYTp0ItbUl9fvvMaSmYkhPJ2nxYgJk\nMqL79UOdt6Oq/P0JHzwYP5mM+O+/z5+lmXP/PkE9e+JrZ2eW3ec9EKrwcIKGDeOWlRUvli7NPzJJ\nRiNxO3dy1cmJh926kVOQtaLTEblmDRfkcp6NHVtsQaXcuMH5unW51r49OSWo/eLPnMG7YsVSRzHp\nFArzgq9Ro9QuPEDUiRPskMsJ2Ly5zAr3pePbTmfncjWd4D8J3Lt37zfmN2dGRLDG2proNxgm8f97\nhJ87Z+4dvKHVrUGr5Vi3bpzs27fciTvt2TN2ODryaNWqsteTyYTvwoXsdnQk6e7dUq9LvnmTo5Uq\ncXfcuBILEYNKhd/UqRyztSWmhOk/uRERZnZX3bqkFXkfXXo6z8aO5YK1dTGldG5QEA+7duWaiwuJ\nBTBvo1pNzIoV3JbJzP2vPMqhSaslcdMmHlSsSKCnJzl5bDd9WhpxCxfiZ2VF+IABKJ8+NbusKpVv\nSfJuaQ+LxsLymdCzMTSzhUXfwvofYEA7cLOCuWNhxwYYPwSqVYDhvWHPVvhuthkb7/Q50o5NGA/v\nN8MqFa3QzZqC4fpVtMu+J6e6M7nNG6LbvQP9rZvkjhhmluIPH4r+/n00t26R3rcvCZaWZE2dij4y\nEs2dO6QOHEiMpSUZ06djiI1FGxBgxsUrVCDxm2/QhoZizMkhddUqAu3tierSBWXeEUcdGkrE0KH4\nWVkRV2AMW+6jRwR6evLQ2Znk7dvzKYaqsDAC+vc3Nyu2bv1Ph1mrJWrNGi7L5QSMH4+uQKLWZWTg\nP2mSGQ/fsqXQAjIZDISsXo23lRWBP/5YfFZndnb+ENSkUtgZkfv3m5WZq1aV2rnPCg3lYO3aXBk2\nrEzLWsije1lbE1dONohRp+NY9+6c8PJ64wQe5ePDGltbsl7Tqe7/50gLCmK1XE5sGT7yZYVRp+N4\nz56vtfG+5HCHHjpU5nXazEyzzL11a1Sl4NYmg4FH8+aV2ZRMvn6dk1WqcHvQIDRFih+jTkfgDz+Y\nJ1+tXFmYk2008mLjRi7I5TyfMKGQ6582NZWA8ePxkcnMcva8As1kMJCwbRt3HR3x79MHZZ5uxKTT\nkbRlCw+dnAjo3Jmc+/cBs+I7esoUHlpYmMWC4eHm0/2pU4Q1aULC22JMxZIxMGcEtKkI3erBD5Nh\nwVho5QRd3WDFbFgyGVq5QIfa8PNCWPsjdG4Gbg6wZCb89isM7Q0uFWDS15gO70O/cDbqyjZoPdqg\n37EV/bHDqHp5kuMoQzNzKvrr11CvWklWtcpkf94Eze/b0AcEkD1zJolWVmbO+Jkz6KOiyJg6lRgL\nC1IHDkRz8yb65GQzX1wmI65vX1Q3b2LUaEjfutU8b7Nly3yaoSY8nIjhw/GzsiJ27lx0eUckxe3b\nPHd3x696dTMmnnd8Vjx4wJO2bfF1dSXl0KH8hKxLTydw4kR8ZDIiV6wo5GyY/fQpt1q25EbjxqQX\nkfUqo6O50aUL5+vWLZEbHn/mDMcdHPAdP75EH5WcqCjOtmjBhQ4dyC1Fyq5XKrk0cCBHGjZE8Yok\nGXf1Ktusrcs9ENag1XK0a1dO9u37xgncd80atrq5vTUDHN7mUKWlsbFqVZ6+oYeKQavFu3fv14K8\ngvfsYZu1NfGvsNRNe/KEfVWqcGvy5FLXQk5UlHlId6dOqEtQ3OoVCnzHj+e4gwNxJQjVki5dMk+1\n6datGGc79dIlrru5ccfdHUUB+whDbm4+9Tdw0iR0eXRKyWgkef9+7teowZMvvkCRBzGadDqSf/+d\nh5UrE+DhgSKvqtdGR+cn7ReTJqGLj8ek1ZKxaxeh9eoRWr8+2Xmzet+O5D2pJ3SpAh0rwqQ+MKEP\ntK4InVxhxlCY2A+aWJsT+eyRZliloTV0bQTfTYPZ46FxZfi8Giycaq7G29aHOg5I86ZgXPsz2gG9\nUdt9im7YAPR7d6JZNI+cak7kNqmH5peVaPftIcerl7ka/3o4ukuXyP3tN1KaNiWpYkUUS5eiDwkh\ne/Vq4mrUIL5mTRRr12KIiyPj11+JqF6dyHr1yNy6FaNCQdbhw4Q3a0awiwtpv/6KMScHTWRkvglW\n5KhRaPKw8qzLl/Hv0IEHjo4krF2LUa02S+7Pn+fR55/j6+pK0t69+ZV4blAQj7y8uGJnR/T69fm7\nuyRJxO3di4+TE749e5JToOv+kht+2smJO/37oyqiENNmZnJv1CiOOzgQXQJWbjIYePbjjxyQyQjb\nvr3EI60kSTxdvZqd1tZEv2KiT0ZgILtcXLgzd265FJEvE/iJPn3eKIFLksSZUaM41K3bWzN95m0M\nvVrNrhYtuDJ79hvff6RzZ7x79y4XTi6ZTNydP59dlSuTUaR/U+g6ScJ/0yZ2yGSEHThQ6jWhv//O\nAZms1JPiS7jw3siRxURnqrg4bnt58YeLC3EnThRa47khIdz39ORK1aqFqH8mvZ7ojRu5YmvLk4ED\n88cjSiYTKYcP41uzJo+aNyfj0iUkScKoUpHw6688qFiRAA+P/Eak8vFj87wBS0uip09HFx+PPimJ\npEWLCLSxIdLDA8XZsxhzcshYt46snTvfkuQ9rAW0/ARGt4dpXuBVD1pbwcReMOlLaO0InWvCrOEw\n9Sv43A66N4QF42DSIKhnCb1bwPczYNo3UMsauraAFYtgwTRoUAk+d0X6cQGGFT+gadUIdTUHdIvm\noNu/B/U3w83mWF/1Q3fimLkar+NKVq3qqFf+hPbyZTJHjzY3OPv2RXP5Mupr10jp3988tm3yZHTh\n4eReumQenmxlRfK0aehjY1HevUv0l1+a5ffTp6OLjjbjWIsW4SeTEdavH8o8rDzXz4+gnj154OCQ\nj4lLkkSGjw+PW7fG19WV1AKqy+xHj3jYpQvXnJ2J37s3f7EaNRrCV67kgkxmxsMLUP8MKhX+ixbh\nbWlJwPffF+N+p9y6xR+1apVKk8p8/pyT9epxtU+fUp0HE2/fZrejI/fnzSsT61SnpXGsdWvO9OpV\namO0YBi0Wo517/7GLBSjXs/+Dh04N27cW8VAeVtCMpk4/uWXeA8Y8EYWA7rcXA5+8QWnBw4sF8Zt\nUKs5168fR1u0KNPlT6dQcLFfPw67uZU6pkydksLlHj046eZGZgk+2JrUVG4PGsRJFxeSinDtTQYD\nIb/8greVFc8XLiwE/emzswmYNs0saV+1Kv90LEkSiUePcr1aNR54eOQLcCSTidTjx3lQpw5+TZuS\nkTe20ZCdTdyyZfja2BDUuzc5Dx+aC7eLFwlq355HDg4krFyJITsbbUQEcaNHE2BhQdzYsWgCA9HH\nxeUz4OK8vFD7+r4lybubPfSvCTN6w6i25kQ+6guY2Q961Yb2DjBjIEwbaE7knrVh7kj4tq+50Tmk\nAyydBt8OMDc6h3nCsrnwtRdU+dT857oVMGmkGVYZ3BPTb+vRz55qhlXat0C/eT3atb+Q26gOuXWr\no1n9M7oL58kd9TWZsgrkDh+K7to1cjdsILl2bZJr1CB3zRp0AQFkzJ5NjJUVKb16oblxA21UFMnT\npxNqaUnC0KFo/P3RvXhBwrRp+fJ79bNnGHNySFy1ikf29gR36YIibxfO9fMjsGvXQla0LyvxB25u\n+DVrRmaBBlzGrVvcadKEO40bk1EAMtGlp+fj4VEbNhR6oJQvXnCrZ0/O1qhBShGDIaNOl291GVGC\nt7BBo8F36lQOOziQUApjRZWSwqn27Tn5xRel4pIv3+vSsGEcaty4XK6EL7HU4z16vBEDQqtQsNXN\njVs//PDa9/5fj8szZ7K7Vas3oilqs7PZ17Il50aMKNfJRpmUxOGmTbkwaFCZ75cRGMiBGjW4PmZM\nqdfFnDrFIVtb/ObMKVaMSJLEi4MHOWZjg9+0acUotGl37nC+Xj1zY78IvS962zYu2trydNSoQgK5\njBs3uNOsGbcbNCAtj7IrSRJpp07xsH59HjZsSPqZM/lJO2bRIu5bWRE6eDCqgID8GbsBn3/OU1dX\nUnfvxqTToX7+nJiBAwmwsiJpwQIMqamo/fyIHzTIrD2ZPBltWBjKEydQnTr1liTvjp/At21hahfw\ntIFBdWFOP3Mib/UpjO8CM/pB58rQtSrMHQZT+kMTSxjkDgvHwfDO4PYZTPgSfpgBfVtDfRnMGQ0/\nLTBX4rVtYMFkWP0DeDQzwypL52LcuQ1t326oK1qinT4R/cF9qL8eYjbHGv4VuvPnUP+8gqwqzmS3\naIZm3140V66QMWCAucE5ZQq6gAAUmzYRV706CQ0bkrt3L4bUVNKWLyfMzo7Yrl1R3biBQaEgZeVK\nAm1tedGjBypfX0waDSm//caTKlUIbN2a7KtXzeIgX18COnfmobMzSdu2YdLr86fc33Nx4VnnzuQU\n2PET9u/nqpMTj/r0KeSZonj+nDvu7lx3cytmPRvn7c0pR0d8v/4abRH/jIwnT8o0mU+4dInDDg48\nmDatRPXmS+P73Q4OJJRhr/nSlbC8TBSjTod3r14c69btjRJ4TmIi6ytV4ulfNE/z/0L4bdrEpurV\n30j6rsnMZHeTJlwcN65cFXvas2fsdHZ+pZ1rxJEj7JDJCC4FezeoVNwZPZpjLi4kl9BYVcXHc617\nd/6oXZu0vEbgy9Cmp+M7cqTZbvnAgUL/jvRbt7jRsCG3WrYkq4CiNDc4mIfdunGtUiXi9+37j7L6\n9m0eff45D+rVy7eFNqpUxK1cia9cTujQoagjIsxJ+9w5/Js141mtWqTnmdop794lqnt3Am1tSfnp\nJwzZ2eReuEC0uzthFSuS/vPP6BMSyNmyhbhq1Uho0gTV+fNvSfL2soUJrWCYG3T4GEY2hTGtwMMK\n+rnChE7Qzw1afmquyMd4gLs19KwFk73gK3eo/wkMbQ+TB4BnPWhqA5MGwOSvoLkzuFeDWaNh0jBz\nEu/YyIyPTxwB1WXQpQWmn79HP2sKahdbNC0bovtpKdqli8mtU41cN1c0P/2IdvvvZim+jRXKCePR\nnjtH9qxZJFpZkdaxI8oDB1CdPElSu3bE2tqSOX8+upAQMrduNePideuSuWkThrQ00jZsME/5admS\nrEOHMKnVpO7ezZOqVfFv1oz0PLvb/Mk+zs4kbtiAUa3GpNMRv2EDd+zseN6tG4o8/qpRrSZi2TJ8\nLC15PmpUvk+wJEnEHzrEJUdHHvTuXQgP1ysUPJo4kRNyOWHr1xfqrOdX4VZWBK9dW+w4rElL42qf\nPpyoVYvUIg/Iy4g+d46dNjb4/fBDmQ938J49bJPLeVEOU36jXs8JLy8Oe3i8kdteekgIa2xsCC3B\nsuH/twg+fpw1trZkvqadL4AyOZkd9epxZerUckFR4UePslUmI7QU3BrMJ7ubEyawt1IlUkvxqE+9\nf5/j1atz46uviglzJJOJ0I0bOWplxbPFiwtBbCaj0Sxrl8uLDTpRhofz0MuLS46OxBdI6OqYGJ6P\nHImPlRVRq1blFyrZt2/z1MODu05OJOWpovXp6cR89x2+1tYEe3mhCgw0F2fbt/Osbl2e1alD+uHD\nmHQ6sg4dIrxZM4IqVSJt40b0yclkrF9PRM2aRNapQ/bevWgfPSJ94kSz/qRbN9Q+Pij37UN94sRb\nkrx7fQJjG8CoOtD13zCiLnzTBDpVgP7VzIncywU6yWFUaxjSDFp8Al81hdEdzRV5ewf4phMMdocG\nn8KAVjDeC7o1gIaWMKo7jPWCpo7QvhZMHQGj+5vVnB5NYPoYM1ul0qdIA7pi/G4eulFDUDtaoOnh\ngW7Z96jHjkRhZ4HSswOadWtQLZxPlosT2U0bod64AeX27aS1b0+iTEbW5Mmoz50zC3+srEju2hXl\n6dNmXLxXL0KtrEiZNQtdZCTZx48T4e5OkIMDKcuXY8jIIMPbm4CWLXlSqRJJa9dizMkh5949gnr0\nwNfWlri8+ZtGtdqcxO3t8e/Vi9w8gyldRgah8+fjY2lp7n7nUaGManU+Hl70OJj1/DnX2rfnXM2a\nJF64UOh7yg4OxqddO87Wr1+sipEkiahDhzhoY8PDWbNKrMJz4+LwbtWK0x07lgmjJNy+zXY7u1fy\nfMGMVZ4dPpy9zZujKYfjYdGI9/VltUxG7O3br33v/5WIvHSJ1XI5iWUM8igtsqOj2VqtGreXLHnl\ndyWZTNxbuJCdTk6klOGPkhkSwpH69bng5VWip7ZRp+PR/PkctLbmxZEjxX6fFRDAhebNudCiBVlF\nTnFpd+5woUEDrrRpQ1YBpoguPR3/yZM5b2VFWAGvEW1yMoGTJuFjaUnovHnoMzPNthjXrvHkiy+4\nV6mSmdKr06GNjydy8mTuW1gQNmIEqqAgjLm5ZljUzo7gzp3JungRQ2YmqT//TJCTExFt2pB94gSa\nZ8/MYxwtLIj78kuUV66Qe+gQiS1aEOvgQObChWiuXSN7xgwS5XLSOnRAc+nS25K8/wVj68C4etDz\n3zCqFnzbBHpawJBqMK4F9K4IvRxgXBsYUh/afwbftIavW0Orz2BAQ/jW01yNf2ELY7vCsPbmRD6o\njZmx0r2BuSKf0A/GfQkN5GbGyoxvzLzxqp/BkO4wfyr06QguFZC+GYhhyTy0nduidpajnTYB7eqf\nUfXsYm5yfjsazZZN5HzZh0xZBZSjR6E9cYLsOXPMH7SnJ+qTJ832tM2aEevkRNYPP6D28yN56lRC\nLS2J69cP1d27qJ48IWbIEAKsrEicMwd9cjI59+4R1revmWY4fz6GjAyU/v6EfvUV962siF6wAH1q\nKka1mtjVq7ltY0PggAGo8gbCalNSCPj2W7MJzk8/5S9MXWYmAdOnl9iIiT91ij9cXLjTrx/qAmZA\nLwcgH7Ox4dH06cWc2DSpqVzu2dPcNCoB/jAZDNyfN4/d9vbEl8HzzomJ4YCbGz7Dh5c5qRvMSeHK\n1KnsqFuX3HKqNwtG5MWLrLG2JqWEJtf/9Xhx9SqrZTJiyoC0Sov0kBA2OznxcO3aV16rVyo56+XF\nkebNy9y4Q3bvZodMRsCWLSVuBpnPn3Oqfn0ud+9ebJiIUaPh6YIFHJXJCN20qdAJT5OczP1hwzhl\nb19oIpVRqyXi55+5IJPxfPz4fGdPXUYGIXPmmAufyZPzC5ysmzd53Lo196tWJTHP7kKXlGRO2paW\nRE2fjjY+HkNWVr6NdNiXX6J88gRtZCQJkycTYGFBzFdfoXr40AyNtGtHmJ0dqYsXow0MJHvFCvN4\nx9atUR4+jOrgQdLatSNRLidrxgzUBw+SO6g/qgXz3pLkPehjGFsNJtYHr09hVHWY1AS8LGF4VZj4\nOXhZw6DKMNEdBtaArnIY7w5DG0CHz2BsWxjTHtpYwoBGMN7TXJF3cTHTD0d4QMPPYFhHMy7ephJ4\n1ISZI8yJvE4F+MoDZo0Bz+ZmaGX6GFg0A1rWhibVMC2ahX7mZNRV7dG4N0X3y09oFs4lp7I9ynat\n0G7eiPrHpWRVdyG7UX00mzeh3LyZFDc3s0Xtxo1obt8229NaWJA+fjzax4/J+PVXwl1ciGraFMWh\nQ2gjIogfP54ACwvix49HFxWFJiKCyJEj8bO0JHbePPTp6agjIggfM4b7Fha8mDULfXpGLNopAAAg\nAElEQVQ6htxcopctMyu4hg9HnTcJKDckxGw/6eRE/J49+Ys7NySE+126cKVGDZILwBUGtZrn8+dz\nQiYrNs1ek5rKrYEDOVW1KslFmp0F6VqBa9eWCJPEXrzILjs7Hn73XanNrZcP/NEWLcr0Y375nnd/\n+IHfqlQhKzKyPMuuUPjv38+vjo5k/8nBCf+bIubGDVbLZG+kPE1+8oQNdnY8LwcPPCc2lgP163Np\n6NBSN2KDRsPVkSM54OpKegnWxCajkWfLl5tpqiVMr0m+fp1T1atzo0+fQr0Zk8FA6Nq1nJDJeDpz\nZr6SWJIkEg4f5nLlyvj26JEPIZp0OqJ++QUfmYzno0ahztM05Pr787xbN+46O+fbs+pTU4maMYP7\nlpZETpmCLikJfWoqsXPn4mdpScTQoaiDg1E/fUp0v375BZnuxQuy9+8n0s3NDI3s2YPu+XPSx48n\npkIFUocMQe3jg+L770m0syPV3R3Vrl2oN28iu6EbWTWroV61EmNg4FuSvL+WwShbmFoPBleAb5xh\nSiPoZwnDnGFiY+hrCUMrw6Tm0M8eBjjBhDbQzwW625oT+eB60KECjGsHI1qZoZVhLc0Y+Rd20Kcu\nTPICr6bQxArG9YKRXaGBJfRvAzOGmymH9WUwaTBMGAJujnn4+DSzt4pLBaRhfTAunY/2y+6oHS3Q\nThiNdsWPKLu0J8fJGvXcmWi2/kZOj65k2slRzp6Jes8e0r288hucmuvXyZw/nxiZjJTevVGdO4fC\n25sXLVrkz93UhoeTOGcOAZaWxAwahOrhQ7QvXhA1enT+1HttbCza+Hgixo7lvpUVMYsWoU9LQ5+V\nRdSiRdyysiJswgS0eYs649at/E556rlz+Q9C8pkzXKlWjftdu6IoUIUqgoK44u7OxUaNSCsyVCD2\n5EmO29vjO3ZsMc6sIiKCM82bm4U9JSRFZWIiJ9u25VS7duSWIr/O5wC7uJSrkfl40yY2OjiQUo7Z\nm0XDd+1aNteoQc4bVO//2yL29m1Wy+VElcIUKivibt9mvVxerpmTiXfusN3enkcrV5YKq2SHh3Ok\nYUMu9uuHvgQBVU5UFOfatOH8F18UW0e6rCzujxmDt6MjsUWM1FJv3zazSDp0QFGgv5P95Al3vviC\n625u+SPIJJOJxMOHuV61Kg89PcnNUz+qQkMJGjaM29bWxK5Zg0mrRZuQwIvZs7lvaUnE+PFo4+PR\nxsYSPW2aef7t2LFoIiPJvXYtvwmZumoVuuho0n/5hXBnZ6Ld3cn54w9U58+T3K0bMXI5mfPnoz5z\nJt9zKXPkSDTHjqGcPtXsktqzO5rNG1FPm0SOgxXan396reT9rvi74pOPhDBkCaHLEOLjj4XITRJC\nk2b+uSZVCL1CiH/+U4icFCFU6UK8/44QmkwhNBlCfCAJYVKaf25QC4FBCGW6+XcfmoTQ5QqRk2b+\nUzIIkZkgRHqMEFafCaHMEiIpWoh3JSHeQYiYcCEiA4SoXFWInCwhgvyEeM8ghL29EGGBQty4IETt\nuuKdjz4S7927If7x6Jb4qGMH8a5BLzi4R7wXGyU+7NlHiKxMYVixVLyTniz+OXacEFqt0M6fLd5P\njBOfTZ0ihBAia+BAYbx6VVh+/734R5s2InvBAqGYOlV81rmzsFm1SqivXRPRTZsKkZ0tKp0+LT6q\nX1/E9O0r4gYPFhYdOojaDx4IdDoRUL++iJ02TdiMHCnq+foKfVKSeFy9uohdsEDYDRsmmgYHi3c+\n/FA8rFtXhI0bJ/5VsaJofu+ecJk3T4TMnCl8W7cWmTdvCpuuXUXbgAAha99e3GvfXjweMkRo4uLE\npzVrii+uXRPVJ08Wd/v3F3f69hXKyEghhBAVe/YUXQMCBCDO1KwpInfsEEiSEEKIT6tUEV1u3hR2\n7duLPxo1EoFr1wrJZMr/yv9tZye6X74s7Nu2FccaNhRR3t7FlsU7774rmv/wg2i2ZInwbttWRJ48\nWeYyajBunGi3erU40qGDeHHp0mstwaaTJ4u6Q4eKPa1aicyIiNe6939TxN68KY716iV67N0rKnfo\n8Fr3hp8+LU706iW67t0ranh5lXodIJ6tWyfO9uolvti6VTScOVO88847xa4J3bNHeDdvLlyHDxcd\nDx0SH3z88X9+L0kiZPNmcaZpU1GxWzfh4eMjPnZ2zr83+uBBcaZWLSGEEF0DAkTFXr2EEEKoYmPF\nvYEDxf2BA0WtuXOF+6VL4lNXV6F+8UI8HjxY+HbpIuz79hWt/fyEVZs2Ivn4cXHbzU28WLVK1Nq4\nUTQ+e1ag04nA/v3Fk5YtxT8rVxbNwsKEvEcPETVxonhap44wKZXC7fFjYfv11yJu5kzh7+YmBIg6\nvr7i0/r1RWzPniJh3DjxSefOwvn4cWF4/ly8cHMT2idPhM3GjeIzDw+hmDhRZM+bJz5ydxcVpk0T\n+hMnhGLKFPGenZ2oMG+ueDfgmdDOnCqEwSA++nqkeCcuShjW/iyEXic+7NNXvPfJx+J14u9L3miF\nsJQJoU0V4qN3hJBZCqFNEeJfHwrxr4/MifzTfwrx7/eFMCiE+OTfQryLEPocIf75DyHeMwmBRoiP\n/yHER0IIk0qID98T4r13hBB6IT58R4h/vWf++zuSEMJo3gDeNQkhtEL8+wMh3hNC6JTmn//zH0Lo\nVUJkJZsT97uSEMkvhLD6VAhrmRCKTCHC/IWoU1e888EH4oOgR+IfRqX40N1dvKvTCHH5vHjfRi4+\naNZcSCFBwnRoj/iwZQvxYdeuQgoKFOzbJT726CD+5eUldBcuCNV334l/NmokLL7/XphiYkTW8OHi\nH//6l3Dcv1+8b2cnEvv3F+qTJ4X9smVCNmmSyFi/Xrxo107808FB1Hn8WHzcvLkI791bxIwfL6wH\nDxYNAgPF+59+Kp41bSqiJkwQdiNGiKahoeL9ChWEX8OGInTUKPFZ/fqi1bNnouKYMeL58OHiYZcu\nIjcgQFSZOlW0j4gQ/6pUSdyoX1+ELlkiTGq1qDRkiPAMCxMWDRsKn2bNRMDixcKo0Yh/WFiIZlu2\niLZnz4rwrVuFT5s2QhESYl4w778v6s2ZIzzv3hWxJ06IC23bipy8xC+EEO++955ovHCh6PLHH+Le\nzJnixrhxwqjRFFserkOGiB7nzombkyaJ+4sX528QJYVrv36il7e3ODd0qPDfufO1lmHLefNE89mz\nxd42bUTS48evde//hoi+dk0c9/ISvQ4eFFU6dXqte59v3y4ujRkj+p47JyqXca9BrRaXBg8WQTt2\niC/v3ROVu3Ytdo1OoRCXv/pKPFmxQvS4ckXUnTixUHLPjY4WFzt0EBG7d4suN2+KOjNninffe8/8\nu4gIcbVTJxH400+ijbe3aLZli/jws8+EUa0WAUuWiEsNG4pPatQQXYKDhdOAAUKfni4CpkwRN5s0\nER9Xry7ahYcL53HjRNq5c+JOw4YictkyUWP5ctHc11f8q2JFEdC3r/D39BSfNmsmmr14Iaz79xdR\nkyaJZ02big9sbESD0FBh6eEhooYOFWG9e4t/N2ok6ty/Lz788EMR+fnnIvf8eWG3apWw/fFHoTp8\nWCT27y8+rFlTOGzfLj7QaETW4MHC+OKFqLBkifiodm2h+vFHYQwJER+PHSv+3eJzYdq0Tpge+ooP\nPTqJ912rC+nYASFSk8UHHTzE+9YyIc6fFu9q1OJdmdVrfX9/X/J+R2mucC3l5kr7ow+F+OQTIfQZ\nQlhWEOI9vTk5V7ASwpBjvlZuJYQ+U4gP3hHi08+E0GabE+/HH5sr8Y/eE+KTf5jve18I8eEHQrxj\nEOJ9yZzgPxDmpGzUCvHPj8yvY1QKUeHfQvzjfSFUCvMGUcHi/zH33uFRVe36/2fPnpqZ9EIKoYeE\nhBIIhNCLdFE6oiKCKE0REGmiSBURVERExK6AKIhYQHrvHUNISEJLJaT3aXv29481tFf8HTjnvL/3\nPNe1rzWz2rS17/3M/dzP2mCrEkBeu44A/+tJEB4CIaFwKxvyspDi26BRHOiO7MJYswb61q0hKwPp\n4G4Mj/dFW78+yo5tcOwgxhEjkGuG4fjsE7Q3s/F5803ksDAq5s3DdeYMvgsXoouMpGj8eJzbtxP8\n7rv4TZpE8apVFMycie/QodRatw5rYiLpsbG4UlOJ2rkTvyFDuPrCC6QPHYp3hw7EXb2KZ6tWJHXr\nxrWJEwkeMYLWaWkYatbkbEICKaNG4deuHR1TUgh64gnO9O3LuaFDsWZnE7VgAR3PnqXi8mX2RUWR\n+f33yAYD0W+8Qc9z5yhNSmJ748bkbN0KgH9cHD2PHqX2sGHsat+exIULUex2ALwbNqTXvn3UHjiQ\nrQkJXF6zBlVV7/z8NeLjGXz2LPaSEn6Oj6coKelvS6RGq1Y8deoUWXv2sHXAAOxlZf+4nGq2b8+w\nAwc4umABh+fOve+1/itrMWYMPVeuZEOvXlzfu/ehx/1ft2u7d/PL0KEM3LjxkTxuVVU5tmgRxxYt\n4ukDBwhp1eof+5bduMHP7dsjSRKDjx7Fu379v/W5eewYG2NjMfj4MOjUKfybNr37Wre97VatCOvV\niz6HD+PTqBEAis1G4oIF7EhIILRnT3qfOUNAQgKqqpKxYQN/RkVRlpJCj7NnaTx3LpIsk/bOO+xr\n1AhVUehy6RIN58yhIjmZE506kTp7NhHz59P29Gk8Gzfm8gsvcL5TJwHa6en4de/OlRdf5GLHjpgi\nImienIxHvXokt29P9vz5BI0bR6Ndu1DS07nSujWuigrq7d2LZ6dO5I0bR/GyZXiPHk3QzJlYv/6a\n0gULMHbujN+SJbguXKBi7ly0DRrgPWUSmhNHcH75GXLduhhfeAFOHcN19CC65i3QdewE27YgZV5H\n36oVxrBAdGcOo6kqf4Rf/78B3g6Hg+eee46OHTvSunVrfv/99wd39PEHV6mgOXx9wH4LPC0CaJVK\n8PUHWwGYNODnLegVD6PwqJVK8LEA1aBxCPC2V4LkFB60q0r0sxhEu6yCVgOyS3jeGjuYDaLeUQVm\nD8AJlfniAmHSQ1khmE3gYYLCXOGh14sAxQpXE6FJYzHn2WPg643UohVy4S0Mpw9gfKwrGosF9bef\n0dqrMTw/CpxOlG8+R9ckBn2/figH96GsWoGl3xNYXn4Z2++/U71iBV4jRmB56SUqv/qK0smT8end\nm+BVq6jcs4fsgQMx1a1LvUOHkP38uNqhA9b9+4ncvJmgCRPImD6d5M6dMdapQ4vUVMyxsVzs1Ilr\nr75K8LPPknDlCqb69TnTqhVXpk0jZMgQOqal4dWiBcc7dCDxxReRDQbifviBuB9/5PrKlRxOSKDo\n6FE8wsNpt2kTcatWcW7KFA7370/ljRtIGg2Rr7xC77NnKTh6lO0tW1Jw8iQgKJCYKVPofeAAqWvW\nsPvxx6nKybmzBAze3nRbv56mU6bwa+fOXPr887+BrkeNGgzYuxdzSAg/tW5NcWrqP649/8hIhh87\nxtWtW9k+ejSKw/HQ6zZq4EAG/vQTvwwbRvKmTQ897v+qXd6yhS3PPMOgzZup3bnzQ49zKQq7J07k\n8saNPHvkCH4NG/5j3+wDB9iYkEDDZ5+l+/ffo/PwuK9dVVXOvfce2/v3p93y5XRcteq+PhUZGezs\n3p30b76h98GDNJk+HY1WC8CtQ4fY1qwZRadP0/vsWRpNnYpGq6UsJYV9XbqQ/N57JKxbR9sNG/AI\nD+fmb7+xPyaGklOn6HDiBE0+/hilqorzzzzD2f79CXv+edqfP49PfDzpkyZxJi4OQ3g4rdPS8O/V\ni9Thw0nq3h1zixY0T0nBEBrKpYQECr7/njqrV1Pvq6+o+uMPrrRrh9bPj3r79qE1GMjo0gXrqVME\nr1qFd7dulL3+OtYdO/B95x0sjz9O5YIFWDdtwjx8OJbHuqCsXI567RrGcRPQ1q+L8vknUF6GfvAQ\n5JwM1EP70Napg7FnD/TH9yLfzEJq3ExQwzmZj7QGHhm8161bR2BgIAcPHmT79u288sorD+7ovAXe\nZlCKQLaBUQe2m+BlBlcJSNUCVMuzQacBrIIj9/EEWx6oNgHUFTdBp4iLgL0EDHqwlQl+XOMUQI9V\neN7OCnBUgGoHl01QMK4qAerWMrCWi9eqKIDiTPD3BVsl3MwQ3nhVKaReAIsHWMyQcxWqCiEsFK6n\nwZE9ENsCSa9Hd2I/Bq2CLiYazp2GjWvRd+iIXKs2ypafITkRw9ChSBUV2Oa8gd5hxevVibiysymf\nMgWdtzfeM2bgSE2l6OmnMXp7E7x8Oc7cXDLat0e5epVaa9diiI7mWvfulH37LbUXLiRszhxy33uP\npPh4dD4+NPvrL0xRUfzVti3po0fj17078cnJoKqcjIzk+ltvETZ8OJ1SU9H5+XEoOpqUGTMwR0TQ\n/tgx6r76KmeeeopTAwdSnpJCSM+e9EpMxLdlS3a2aMGFGTOwl5RgrlWLzlu3Ej1zJgeefJITY8di\nzc8HwCc6msePHSOwdWt+i43l8mef3aFBJEmi0Qsv0P/gQS6uXMn2AQOounnzvqUi6/V0Wb2a2ClT\n+Ll9e6788ss/rj9zjRoM27+fqvx8NvbqRXVR0UOv3dqdO/P0zp3snDSJk8uXP5L3/n/FVFXl+Pvv\ns33CBJ7ato1aHTo89FhbWRlbBg6kICmJpw8cwBIS8o+vcfb99/lz6FC6f/stLaZO/Ru/XZmby9Y+\nfbi6eTODTp2ibr9+d8e7XFxes4bf4+II6daNPkeO3PG2rQUFnBgzhsPDhhG7eDGdfv0Vc61a2IuL\nOTd1Knvat6fmoEF0P3WKwA4dKDp6lGNdu5I8YwZNPv2UVr/8giTLXBw/nqNxcZgjI+l4+TKBPXqQ\nNmkSp6KjkWSZ+ORk/Hv1Im3kSJK6dcOrXTuanjqFxuXiYmwshevWUfeLLwh99VUKFy7kes+eGJs0\nIfzrr3Gmp5PRtSuqohC6YgU6p5PCp59GuXkT33nz0MoypS++iOvmTbxeegldeQn2D95D8vTE+Nxz\nqIf34Vz/HXJQELq4OPhtE1JWBvpOnTCW56PduxXJpUBkFJw+AsUFEBMDZuMjrYVHBu8hQ4Ywf/58\nAFwuF1r3lfRvZtKBWgFGDeicoK0Cix6UYjDrQaoCuUrw3o58sJhArRIA7eUN1bmCDzdJUHUTfHwE\nT66pBn8fqMgWHrROhuIs8PBwg3eJ4NerboGtFLw8oewmYAU/Tyi/KbxxDyOU5wuwN2nAWQn2KkGr\nOG1QXgyVJeKio9jEBcOgiotCbgbk5yCFhiFXl6PPSMUYHICMgnT+NJrcDHQtWyKVluDatxNtWDDa\nBg1wHT0Mv/6M5+O90dWvh23jRpy7duE1ahTasDDK5s/HdfgwQVOnYoiO5tarr1K5cSPB8+bhPXgw\n+YsXkzd5MoEDBlBr6VJK/vyTi02aQFUVTY8cwatTJ1KHD+fyU08R2K8fcefPA3C6aVOuTJ1KrdGj\naXf+PEp5OYeiokh94w2CevWia2oqfm3bcrRjRy6MGYOjsJCYN9+k54UL2AoL+TMqiitffAGqSt1n\nnqFvcjKyycQf0dFcXrkSl6Kg0emIfftteu7ZQ/q337KtXTtKLl26sxx8GzVi0MmT+MXE8FNsLNce\nEKhsPGYMff/4g8Ovvcah1167Q9H8q+nNZgZs2UKNFi34Pj6egnte57+y4NhYRh49yvkvvmD7yy8/\nkvf+nzZHdTW/jRhB0vr1jDx+nNCWLR96bFFaGmsTErCEhTF0xw4M3t4P7GctKmJrv36k//QTQ0+c\noFaPHn/rc+Xnn9nYvDlB8fH0P3QIz1q17rSVpaez47HHSPviC3rt3UvTWbPQaLW4FIW0zz7jj+ho\nZA8P+l66RPiAASh2O5eXL2dbZCRKZSW9k5JoOHEi5YmJnOjbl7NPP03N556jU2IintHRJL70Ekfj\n4tD5+tIhJYXwkSO58vrrnG7WDNlsplViIr4dO5LSvz9pzz2HT7duRO/YgS0lhYtNm1J9+TL1164l\n4IknyB09mvwlS/B+6imCpkyh/OuvKXjjDUwtWxI0ZQrO336jfPly9DExeI0cieOPP6heuxZtnTpY\nOraDX3/GlZaCNq4F2tAauH7dBHm56KIbIWdeRcq4jtbHC2NYDfTJZ9EU5gkcK84X+GLSgdYJxbmC\n0rVVPdJ6eGTwNpvNWCwWysvLGTJkCIsWLXpwRw8JjE4RONRaBTjLdjDJIoBpcICnCaRy8LaAzgFG\nVYC5qwT8/EApF/SIlxmcRRAYAEqpUKP4+Aou3dcT9E4B/P4BghrRquDvB9YCMZ+HLHh1i4fw1rGJ\ncVQLztzDCK5qESS16MUXKquCC9dq3IBuBb1GBE2VSvG5zAaoKIWyQqSaYWgVO4asdIwxUcg6LdLl\nJLSSC11MDBTkoZ4+hqHbY2j8/VD37UGXm4ll0EDUsjKqV6/GGBGB56hRONPSqHr/fTwTEvB98UUq\nfv+dwlmz8OrUibCVK7GnpJDz/PN4RkTQcPNmlPJyktq0oerECaJ++IEao0ZxZcIE0oYNw69bN+JT\nUzHWqcO59u258fbb1Js+nXbnzuEsK+NgZCTp8+cTPnIkXS5fRufry/4mTUiePRudpyfxX3xBh61b\nufbVV+xq3ZrCEycw+PrScvlyuh84wI0ff2Rnu3YUX7gAgG+TJvQ5fJj6I0bwZ8eOJC5ZgsvpBEA2\nGGi9aBG9fvmFo1OncmDsWByVlfctm+D4eJ46c4aStDQ2d+pEeUbGgxeuLNNl6VLavvUWGzp35oqb\np38Y865dmxFHjlCWmcn3HTtS+g+v8X/JyrKy+K5DB1RFYcShQ3jfA5j/lV3dvp317dsTN3kyPVat\nQtbrH9jv5okTbGjRAu+ICAYdOoRXnTr3tdtKS9nz/POcmDmTXlu2ED9vHrJOB4DL6eTismVsTUgg\n/Ikn6HPsGL5NmgBQcPIkO1q35tr33/PYrl20XL4cnZcXWZs3sz0mhrydO+mybx8tV69Gtds5++yz\nnOjTh6CePemSmkrIwIGkvfkmR5o1Qx8QQKf0dGqNGcP12bM53aIFOl9fWl28iLlBAy526ULW4sWE\nTplC1KZNVBw6xOXu3dGHhRG1fTtGLy8y+/en6sQJghcvxty0KQUzZmC/eJGAWbPwjI+n8p13cKam\n4jlyJDqjkepPP0VyOPB8+in0t3Lg0H7kmjXRt01APbAbKT8PXWQUWq2EdC0drbcXxoi6GK4moXVY\nkUKCBVjbqsDXSzizjgrBAhi0gjLR4hZjPLz9twKWmZmZdO3alREjRjBs2LAH9pm7u5q5ByXm7q1m\nfw6C1jA4wKIDrZsykSoFPaG1C+C26ESg08dbeOi+XqJNtgu+3FYouHKlTMzn5y14cx8/UWdQBRVi\nzRdArUV41L5+YC0CgwR+Xm76RSu+PNUmuHOtUwC7XgvcfqyKC40MuOyCstEg6BVvTwHklYXg7ynU\nMsW3QKdBExCAruQWxoJMDC3jkF0K0unj6GNj0Xh7ox45gGyrRP9kP6SKcuGN9+iGvkkTrD/+iHL4\nMN4TJ6KrU4eKxYvRV1dTY9EiXHY7N59/Hqm8nJpffQWKQka/fsjV1URt345Hs2akDhpE0YYNRHz1\nFSGTJnFjxgwu9eyJZ5MmxF++jCE8nDNxcWQtXUqDOXNod+4cjuJiDjZqRNbnnxM5bx6dzp/HlpvL\n3ogIrnz4Id6NG/PY4cM0fPVVjgwcyIlRo7Dm5eEdHU33AwdoMHo0e7p359yMGTirqpA0GqLGj6fv\nqVNk79jBtvbtKXGrVQCC27RhyLlzKDYbG1u0IP/MmfvWjtHPj76//kr9gQP5KT6e69u2/eNabPz8\n8wz49Vd2jBnDiSVLHpoKMXp7M/TXX4kcOJCv4+NJewTw///bMo8c4ev4eKKHDqXfunV/457/yVRV\n5cR77/HnCy/Q/+efiR0z5h/7XVi5kj+eeIIOy5fT4f33/wbwOYcOsTE2Fq3JxJBz5whOSLjTVnTh\nAlsTEsj+80/6njxJzGuvoZFlbEVFnBgzhgP9+hH56qt0P3QI32bNKEtJYX+3blycO5e4VavouG0b\n5rp1uTx3LgdiY/GoX5+uaWnUeuklMlau5GDDhtgLCmh34QK1xozhyrRpnImLQxcURKukJMwRESS2\na0fhxo00+Pxz6n38MYVr13K5Tx/McXFEbNiA8/x5bvTti8bDg/Avv0RTXc2tiRORg4IIfvddpCtX\nKJszB21wMF5jx+Lcswf7gQOYenTH0qk96k/rIS8PfffuSIV5cCkRuXYd9E2bIh0/jMZuxdC0Ccab\n19DaKpDCawlQLsoTWOTjIQQYHnrx3FYBWg377TA3NYe5yZnM3XHgkdaFpD4i8ZeXl0fnzp1ZtWoV\nXbp0efCkkoT6pQYkAzhsgFGUkhEcdkAPDgcggwI4XaLNVgVai9Bv6zyhugJkCzidoLhAa4TKcjD4\nQHkJmHzFvE4nGL2hJB8sQVBWAnoT6DzEl+cdKnglvQkMFijIhsDaUFEGNht41RBUSEAYyDrIuQYh\nEVBRAaXFEFYf8rJBo4WgWnA1FTx9wCcA0pMhvB54+8PF8xAUCr41IPE8hNSE8LpwKRHV5UJp2gol\n/QpKxnXkbj1RyipwHtiL3Lkb+Afg2LULydsbuUcv7NeuY922DePgwWjq1KHql19wlZdjGTMGRVEo\nXr0aXXg43qNHY71yhcJPP8XcoQN+48dTlZpK7rvvYmrUiOBp03CWl5O1aBGq3U7422/j2bYtmUuX\ncvPbbwl58UVqTp6Ms7ycyzNmUHr2LBHz5xP6zDNUXL5M8syZVKSkEL1sGcH9+uEsLydpwQKuf/MN\nUTNnEvHyy8hGI9V5eZyZMoXC48eJW7GCsMcfF+vA5eLy6tWcmzOHxtOmiRPb7a0BpP/4I4cmTqTZ\nlCnETpt2J6B123IOH2bH00/T8NlnSZg//x+9xvKsLDb3749fZCQ916xBbzY/9KDUODQAACAASURB\nVJrOPHKEX4YNI+bpp+m0YAFag+Ghx/47TVVVzn72GQfnzOGJb76hQZ8+Dz3WXlHBjjFjKEpNZcAv\nv+AVHv7gfuXl7B8/noLERPr8/DM+DRrc1644HJxZuJDkNWvo9Pnn1Onb926b3c7F994jecUK4t59\nlwajRonfXFXJ2LiRM5MnU3PAAGIXLULv44OjrIzkd9/l6uefE/3WWzSYMAGA7PXrSZk9G7927Wi0\nZAnGkBCy164lfd48vJo3p+E776D39iZjyRLy1q0jbMIEQsePp2THDrIWLcJQqxbhc+eCzUbO0qVY\nU1IImTYNU61aFH78Mbb0dAKmTEHn60vJ6tU4b93C96WX0CgKFatXo61fH4/u3VEuX8b6228Y+/ZF\nHx6O8/dfQCOj69gRcrNRjhxE27U7GpMRdec2NFHRaMPD0Jw/iaTXQ2QjuHIZqishugnkZUJ+LkQ1\nhoJcgVkNooWarbQQateHW9fBYICAYEjohjRx0UM7II8M3pMmTWLjxo1ERkbeqfvzzz8xGu+S7ZIk\noa4DXFpQnIBWACxacDhB1f3Lcy0oCqgyOFVwSeJwKiDpBOBrjGC3uUsraPTgcIGiAjoB4jqz+OJ0\nJjGvAmgMos7kA5VlYjwyVFWAZwCUFQlAl7RC620JFKCuNYDJE27lgnegeF8lhRBYUyT7KIBPENzM\nBaMHeHiKaHFobdDq4Xo6BNUErQmupUOdBmAwQWoKrtBwFIsvSnoaqsUT6tZHuXEDV0EBcqsElLJy\nnKdPIXfoiMvTB9uRI+Dhgb5jRxzZ2VgPHMDUqxeahg2p2LsXx9WreD77LHh4UPrTT0g6HX7jxqG4\nXOStXo3qchE0YQK6oCByli/HfvMmoZMn49OzJ1krVnBr/XoCBw+m1qxZVGdlkTZnDtU3blBvxgzC\nRo6kcP9+kmfORNLpiFqwgMCePSm/fJkL06dTmphI03ffJXzoUCRJImfHDs5MmYIpOJiWK1bg07gx\nAOVXr3JswgQqMzJo/fHHhD722J31Up6Rwf7Ro7EWFtL5iy8IbNHivjVXdesWe154gcrcXHquX4/v\nPWvvXnNUV7Nz3Dhunj5Nv40bCXAnfDyMVRUUsPXFFym+coW+X3/9SHzyv8Nyz55l58SJKHY7/dau\nxf8fPvODLD8xkV+HDiU0IYHuq1ahM5ke2O/m8ePsHD6csE6d6Pjxx3/z6AsuXGDfqFGYatSgy1df\nYb4nwJl36BDHxo3DUqcObVavxuy+OBSdO8eZyZOxl5TQatUqgtq1Q7HZSP/0U5IXLyakVy+aLl6M\nsUYNstavJ23BAgzBwUS98w6+rVuT/e23XFm4EI8GDWgwdy4Gf38yly6lYMsWgkeOJPiFFyjatImb\nq1djjo0ldPJkHJmZ3Fy+HDQagl58EamiguIvv0T29cV72DBcN29S9t13GJo0wSMhAVdKCta9ezH1\n6IEuMBDb9u1Iej2GlnFIxYW4jh9DG98ayWzCdfQQmvDayMHBcDUVye5AjmiAXJSHpiAP6jUQDmVu\nFjRoKBzQmxlQqy5UlQusCKsFFSWCYg2sASU3wcMMZgvkZ4FvgKBm47sizf3uocH7kWmTjz76iJyc\nHPbt23fnuBe475inBBYnWDTgoYBZA0YFPDRgUsAsgcklSg+X4Mg9XOChgkkVj2/38ZCE2sSoijmM\nqghkGhwiqKm3gaceNFVujt0ldOMeejcNYwGlRGR3GlwiWOrrJegVH28R6JRs4OcLtnxBraiVQlse\n4AeVtwSl42USWZ5eXoKzwgYBXuLvkA7wskBZgeDK9VqhejFKIiCqVIvAp+pAo9Og0zgxKFXoPfTI\nVRXIednoaoUjqQpSxlV0wYHIWi2alCT0ig1Ti+Zw6xbKwYN4tGqF7OWFdeNGdEVF+D3/PGplJWWr\nVmGsWROfp56ifMcOCubOxb9HD2q+9RYVBw9yY8IEfLt2pd7KlZQdPEhiu3boPT2JPXgQfXAwZ1q1\n4tY339D0yy9ptnYtt37/nQP161OVlkb748dpMH06Sa+9xpH27bHn5tLht9+I//prUt57j91t2lBw\n9CihPXvy+F9/UWvwYHZ37crZ11/HUV6OZ716dP/zT+IWL+bI6NEcGjkSm1sp4lmrFn137qTJpEn8\n0asXp+bNuy+Q6BEURN/ffyfmxRfZ1K4dFx8gOQTQmUz0+eYb4l9/nR86deLid9899Lr2CAhg8C+/\n0HbWLH56/HH2zZqF7f9Dd/7vsqqCAraNG8ePffrQdNQoRp048dDAraoq5z79lA1du5IwaxZ9vv76\ngcDtcjo5OX8+f/TrR9slS3jsyy/vA27F4eD0/Pn83q0bTSZO5PFt2+4At7WwkCOjR3Pg6aeJnTeP\nx/74A3N4ONV5eRx/6SX29e5NnWefpffZswS2acO1775jW2Qkt/bsofPu3cR/8w1lFy5woFkzbnz2\nGU1XryZhzx6q09I4GBlJ7oYNNFu3jsj588leupTznTtjrFuX2EOH0CgKSR07Ys/NJXLDBrxatuTq\niBEU//YbIZMn4920KQVvv409PZ2AyZMxhIRQsmQJank5vkOGoElNxbF7N7qaNTG3b49z1y7Umzcx\nNW+GrjAPTcZ1ZE9PtGECqDUOG7oaNZDzbyKrDgx+3hjspeic1WhUBXAJBNUoYEBQrdZSoRrRSkLh\nZvEAHCJbPNBX5KhIToEV1iLwMgp8qMwXsuVHsH9fko4ZAb6egEUVYO7pLs0usNwGa81doPZQxTiL\nuzTjrrs9RgajC8yyCFqaNALoTYjD6AIPLeisIjFHrhTBTrUSLEbBa+sV8PYAtVQkCzmLBFhrbALA\nfXyhugD8/cFZJsDXzwuq8sHHC5QqMUeAtwByswkMGlHva7krTbR4CBmijFCsSE7QqYKX10mg2JFw\nInvo0SvVGHUu9D4W5IpS5JICtLVrobFXI2VdQ9+kCbLDhnTsEOamMejr1kE5fRrZZsOja1eUtDTs\n69fj06sX5nbtqNi0CVd6OjWmTUMCbk6ciLa6mjoffoizoICrw4djqlmTRlu24KquJqlTJ5xZWTTb\ntUtw4q1bc/Pzz4levpy4P/6g4M8/ORQTAw4HnS5coM748Vx46SWOdu2K3mKh+6lTRLz8MseGDePI\nkCFU3bhBwwkT6HvxIrbCQv6IjubGxo0A1OrXj/6Jiei9vNgSE8O1n35CVVUkSSLq+ecZcu4ceceP\nszkh4b7EHkmSaDJ+PIMOHiTxk0/YNmgQ1YWFf1t2kiTRZNQohu3bx/HFi9k2ahT2fwmK/pNJkkTj\nZ57hxQsXKM/J4dOICI4vW4bjARmi/9vmcjo5/cknfBYdjazXMzY5meYvvoikebhT1FpczK9DhnBh\nzRqePXKExiNGPLBf6bVrbO7UieyDBxl29iwN/iUlvuDCBTbHx5N3/DhDzp0j6h4qJO2bb9gSE4PW\nYqH/pUvUGTwY1enk0rJlbI2JQeflxRMpKUSMGUPx6dPsat2a9FWrSPj+ezr8/juSonC8Rw+SJk8m\n6p13aLt/P7bsbA5HR5P93Xc0/eYbIhcs4MZbb5H87LP49ehB80OHUPLySOrQAUmWidywAaqqSBs4\nEGdxMXWWLUPncJD/9tsYGzYkePp0bIcPU/b115iaNcOnSxccmzYhWa2Y+/dHk5eH88gRdDWC8Ihs\ngObcaWSjAUOLWEhNQlNdga5mTeTSIrR2K/ogP4xKBXp7JRqTDgkXqE5xzutdQuSAw539DTiqxbkv\nOQRQ+7kxwSALZ9JaBDX8Bd4olcJ5tBZCgI/o8wj2b9zbRBUAbXYJr9vk9rrNbgC3SG5QR9RZ3ODt\noQEPBCjfBm8PyQ3aktt7l8HkBItWeN8eWhHUtBgEcHsZ3QoXnQh4WmQwuLXiJr2QMHq7g6J+PqL0\nsghvXWsTWnN7kVC8VLmDnwYJqIIgd52nWQQ7NXYI8gVbiVv6A7jc7wGrUK3clhtKLnFF1iF+XIMk\nxtirkYx6ZFnFUJSLKcQfnZcFzc1sdD5eyCY9JCei9fNGGxGBdOM62txMzO3b4crMxLlnD579+6Ot\nUQPrd99hNBrxGTyYqn37qPjhBwInTMDy2GMULF6M88wZ6ixdClotqU8+CZWVxOzciaF2bS51744z\nK4vYPXsw1a3L2TZtyPnwQ6JXrKDJl19y/aOPOBofjyEwkM6XLhE2bBgnn3iC8y+8QPBjj9E7JQXf\n2Fh2tW7NualT0RgMtPn6a9r98AMXFyxgb8+elKWmovP0pPWKFXTZvJnzc+eyt39/KrOzAbCEhfH4\ntm3EjBvHr507c37Zsvv2T/GLjmboiRN41anDhthYMv8hYzKwcWNGnDqF6nLxXcuW3HKrYR7GLMHB\nPPnttzy7bx/Zx4/zaUQEZz799B+li/8TU1WV63v38mXLliRv3Mize/bQc8UKTL6+Dz1H9rFjfNO8\nOZ5hYQw/fvwfE29Sf/yRja1bU2/gQPrv3IklLOxOm8vpvOttv/oqfbZuxVKzJiAorx1du5KyciXd\ntm6l9UcfoffyouD4cf6Mi+Pmrl30OHKEuPffx2WzcfKFFzg8YAAREyfS7ehRLPXqcX7UKE706kVw\n//50SkwEh4PDjRuTuWYNjdesIeajj8hetoxLTz1F0DPP0HTnTqoTE0ls0wbZbKbh+vXY09K4OmoU\nHo0bU+/DD3GeOkX+okVYunbFb/BgSj76CFtiIn4jRmA0mbCuW4c2NBRz587Yt2yBkhI8unVFdzML\n6doVtPXroXHZkLIz0AQGovP3RZNxFa1eg8nbhL66BNliQjIZBAUi4xYwKEIFJ6uiDkUIIHAKB9Db\nQ2CDXhYKNWuRAGdXlXjuYRQOYpA/uCru4kD1w+cswH+D836oSSUJVzJIivhcIiiJm8dWwSkJrloB\nVAlcKigaEbhUZXAo4NKIPk6Ae9vu4cxVN5eu6t2BUJ0IhKrugKjGXS8ZBF8uuXlz2Qg2K8geUF0F\nWg+wVgt+2mEHSe9+z07Rt6oS9F6CCzf7Cg5doxNHRRmYA6AoX3DjdhtY7WD2E3y5fwhUV4PdDj7B\nkHVDBCdcKhTmQ60IKLglPl9ACFy9CoHBYPZETUtBbRCFEx3OxL+QohvjQkJJuoimdVtUjRbn0aNo\nmjZF8fTBdvQocsOGaBs3xnrmDMqtWxh698ZeUEDl7t1Y+vZF16gRpb/8glJWhs+zz2KvqCD/66/x\nbNcO/xEjqDh7lpuffopPz54EjRpF6bFjZK1Ygf/jj1PztdeovHKF1Fmz0AcGUnfaNHw7deLKkiXc\nWLOGWi+8QL2pU1GBxDffJHfrVqJnz6beSy8haTRcXrmSpEWLqPvcczR+6y0Mfn4oNht/LV5Myief\n0GT6dKImTkTrpuHKrl1j36hROK1WOq5a9TcuPGPnTnaPGkX9QYNos2gRek/PB67HpLVr2TtlCi2n\nTCF+2rQ78raHtZzTpznw5psUJCcTN2ECTUeOxFKjxiPNca+5nE6yjh4l9bffSN2yBY1WS8d582jk\njhs8rDltNo4tXMiFNWvo+fnnRDz55AP7VRcUcGjKFG4eP06vDRsIiou7rz3/7FkOjB2LwdeXLl99\ndQe0nVYrlz74gKQPPqDJrFlET56MRpapysriwpw55Pz5J3EffEDtYcNwlJWRunw5aR9/TJ3nnydm\nzhxclZWkv/ceWd9/T+2xY6k/bRrFBw5wZfFiXDYbkUuWoDUYyFq+nLLjx6k9axaecXHc/PRTSrZv\np8ZLL2GKiKBo3Tqs6enUePllNHY7Jd9+i+znh1ePHthTUqjauxevAQPQmUxU//orcmgohuhonBcu\noBYXY2zbFulWLq6/LqBt2RKs1ajJF9G2aInktMNf55CjGglZX84NpIaNRPyrpAhq1xYcttEg/pVn\nXoHQcHApkJ8DIWGCw7Z4CjVaYR7UCIGyW2A0ijyUihLwD4LyW+DpLWTHqiLaq8rAy0dQr+0HI01Z\n/+8LWD7UpJKEKws3YLsPJ6DcA+jOfylvH7f7/2u/O4cb7F3uC4BLumesJEDQJYsAqEsWQU/VHRiV\ndOB0ADqwO7kD9pJegKtkEOoT2XBPkNQN5nYHSG51jKKKuWw2EeysLAejBSqrhMLFqYp5PbygqBAs\nflBRCVod6D2gsAD8gqGkFCSNCHbm50FwLXERKS6FoDARDLV4g8UL9dpVlJp1UCQtSvoVqN8Al8OJ\nkpWFpnFTVKsdx6UkNI2borjAfvEiurZtUY1GrIcPI9erh1S7NlXnzoFWi7l7dxz5+ZT/+SceXbsi\n161LyY4dqIpC4Asv4HI6yfviC2Rvb4LHjcOWn0/2ypWYmzSh5pQp2EpLubZ0KardToN58/CKi+PK\n0qVkr1tHzeeeo/60aVjz80l8801Kk5JoPHcutYcPx1ZYSOLcuWT8/DNN3nqLiHHj0Oh0lKamcnra\nNEouXqT1ypXU7N0bcO+N8fXXnJg9m/pDhtB60SL0Xl531lp1YSFHpk0ja88euqxZQ+1/2GCp9MYN\ndo0fT3lWFj0//5zQ1q0feV3nnD7NmU8+IeXnn/EIDCQ0Pp7QVq0IadWK4BYt/lHh4rRaqS4uJvvo\nUVJ//ZX0bdvwqlWLhk8+ScSTTxLcvPkjgTZA5qFD7Bw7Fr+oKLp/8skDsyVVVSVtwwYOvfYaDZ9+\nmoQFC9Dd8x7t5eWcfOst0n/4gYR33yVy5Mi7apFff+X01Kn4NmtGq2XL8KxXD3tJCUnvvkv6558T\nMXYs0TNmoNHpSP3wQ1KXLyekTx+i33oLvY8PV5YsIeOrrwh//nnqTppE0f79XF2yBK3ZTN0ZM9Ao\nCplLlqBUVVFz4kT0vr7c/PRTbBkZBI4YAVYrhevWYYyIwKd7dxzJyVRs24alRw9ks5mqnTvRBQdj\natYMNS0NR0oKhlatoLQU5eJFDPGt0Kgq6tlTyBEN0WhUXGmpaCOjkCQgLRm5dh1kpw25MA+pdh0B\n1rZqCAmGm5ng7QVaGQpvQXCoSKRRHCLmVZIHAYHCI9cAZjOUF4K3L1QWg4dFUKWKXciiq8tEna1C\n7KaqWEGnE967qgiQj2qDNHvvfx68K6pAdop/GBpFbEFy1wPnDuD+I5jfLl1/H4NyL3Crd716RRUe\nu9MlSpfby78N6qobzF23wfy2CkZ/V8JotwuFis1+t/62p641CS9a6wFWK+jNwivXmaHaCrLerZDR\niLHVlULOWFoEFl8oLwO9RbyfygrwCRSg7R0IVVYx1idARK4DgsU/kNJSoVrJyhIad7Mn6pUrKOF1\nURwKSk4OREbjKirCVVCA1KgxSu5N1MpKiGmC/foNXKWl6BIScObnY7t4EWOPHtgrKqg6cABz795o\nQkIo27oVjZcXlj59qEhMpPzAAfyHD8cUE8Ot778XCpXXX0eVZbKWL0eSZWpOnYrk5cUVd8Ztg7lz\n8WrZkmsffihO3JEjiZg9m9JLl0h84w2s+fk0mT+fmoMGUXrpEmemTKEqO5u4Dz4gtFcvALK2b+fE\nK6/gFxtL/Icf3lExWIuKODZtGlm7dtFh1ar7JGsAGbt2sW/MGMI6d6b9Bx9gfADtoKoqyT/8wL7X\nXiNq2DA6LFyI/p4tSx/WXIpC4eXL5J46Rc7Jk+ScOkVBUhK+9etjDg7GVlqKtaTkTqm6XBh9fAhu\n3pyIfv1o+MQT/yjd+6+surCQ/dOnc23HDh5bvpyGgwY9EPjLMzPZP2EC5dev0/WLLwi+52KlqipX\nN2/myOTJhHfvTsJ772EKCACg5NIlTkyaRHVuLvHLlxParRsuh4PUVau4uGgRNZ98kqbz5mEKCeHG\nunX89cYbBLRpQ+MFCzAFB3P1gw+49sknhA4dSv2pU8nfto1ry5ZhbtCAujNm4Cop4cb8+cgWC+FT\np+LIzCR35Ur0NWoQMGwY1RcuULxlC/5Dh2IMD6fil19Qiovx7NMH5cYNrEePYundG1lVse3Yga5R\nI7QBATiOHEFXty7awADU82eQ/fzRBNdATUpEE1wDjYcHpKUg16mLLIOccQWpXn2hIFOcEBQIuTfA\n1xe0WrHfUY0w4V17+4ickNJ8oRYpviWywJ1WQHFv81EssierStwb8FWJeTQIADcawFktvG1nNZg8\nRA6KwSjEDAYjNGyL9Pru/zx457i8kVUnsupCdjnRulxILkUkLzoFoEtO7gdrN0BLt5/f63Xf20/l\nLoArbs/bec/j21644hJ0zG1Qv03VKLfB3A3i6O73zFWtaFekuxcBl+R+bfe80j1jnaroo7ovHLfn\n05ugohw8fKC0RFAppcXg6ScuAgoCzIsLwa+GAHK/EAHk1mrwDYKcLAitBSUl4vvxC4ZrV6FGKCgu\nXAUFKPWiULKyUCUNangdlORL4q+bjx/Oc2eRYpvj8vLBdugwckwM+PhgPXAAfbt2SLVqUbF7NxiN\neHTtSuXJkzhzc/EeORJ7WRkF332HZ9u2ePXuTcGmTVhTUwmdPh19eDhZH36INTOT2nPmIFkspM+f\nj0ano8G8eXg2b07aggXkbtxI/enTqfPKK+QfPEji7NmgqjRfvpyA9u3J/uMPzk6dimdEBC3efx/v\nqCicVisXlywh+eOPaTJzJtGTJt3Rhmft3cuBMWMIjIuj/YoVeNxDX9grKjg2axZXNm+m08qV1B8w\n4IHrs6qggH1Tp5K5fz9dPviAhgMHPrLn+6/mtNm4lZhIVX4+Jl9fDD4+GH18MHh7ozUa/8fzq6rK\nxW+/5eDMmUQNG0b7+fMx3PMP5E4/l4uLa9Zw/K23aDZxInEzZ96njS+/cYNDL79M2dWrdFy9mtCO\nHQFwlJdz7u23ufL998TOmUPk+PFotFry9u/n1CuvYAoNJe7DD/GJiSH/8GHOTZmCpNHQ/MMP8WnW\njOsrV3Ll/fcJ6tOHiNmzKT54kPS5c/Fq3px6b7yBIzOT6/PmIZvNhL/2GlUXLpD32Wd4d+uGX58+\nlG7dStm+fQQ+/zyyolCydi2mli3xiI2lau9eXIWFWDp3xpWUhJKZibFzZ8jPx3HqFIaE1miKCiA7\nC23zFpCXA7k5yFFRSDeuIhmNaAP9ka8kI4XXEYCaeQ1q1xVSPW9vAa65GULWV3RLPNfJAowDakBB\njnCe7O4tprUy2KvB0wsqCkWiYGURWLyEysTDIkBZJwPuewvIqsiilFXA/Rh3HExWIaoL0ss7/vPg\nnazWQkZBRkGLUzxWFbSqQwC6oqBRFGSXKjx0N6DfB9pur/uOd36v934HhFU36Ev/As63vXBVHHe8\nbvluP5fmXzh0neijaNxgfS+14qZUNEZRSoa7XvptisVmvUu13Pbe9RbBi5u8obwUzLeB3N9degsv\n3qURHH1lpQDtvBwIqAmFhaA3Cu14cRGE1YXsDPAOALSQmwO166PeuI4aFIrTyxfnXxeQImNQqq24\nMjPRNI9DycrGVVaK1LI1tqRLqE4ncmwstrNnwWRC36ULVefO4bh+HXO/ftiuXaPqxAl8R49GtVi4\n9dlnmKKj8X7iCYp37KDizBnCpk7F0LAhGe++i7O4mFpvvolLlrmyYAGyxULDhQsxhIWR8sYblJ49\nS+S8eYQ+8wzZmzdzYfp0/Nu2pek772CqWZPUlStJWryYusOH3+HDy9LSOP7KK1Tl5JCwciXBnToB\n4Kyu5vS8eSR/9RUJixcTOXLknb2hAbIPHWLv6NEENG9Ox+XL79Mn32s39u5lz6uvYg4Opsv77xPU\nrNn/9qnwv2L5iYnsnjgRR2UlPVavJvhfOOvbVnz5MvvGjsVptfLYl1/iHxNzp83ldHJx1SrOzJ9P\n09deI/b115H1ekGRbNnCyUmTCHnsMVq+9x7GwEAqMzI4N2MG+UePEvfhh4QPGEBFWhp/zZ5N0YkT\nNH33XWoOGkTW999zec4c/Nq1o+Hbb1OZnEzanDnog4JouHAhzpwcbixciMZkouakSVQnJZH32Wf4\nDxqEd8eOFK5dS9XFiwQ+9xwUFlK2aRNe/fujDw6mfP16tCEhmKKjse/dixwUhKFxYxyHDyNJEvrI\nhqjnTiOHhCAHBaGcOo62YUMkWYaUJLTR0WiL8pAUB1LNcEi9BMEhIlu6oljw1dnXBGBXlYukQB8f\nKM4TNElhLvgHCqoDp+C0rZUCsK3F4O0ngNvsKWgRi5fYDM9sAUelOG9VK+j1giYxmMBZBUaT2I7D\noBd7JRkMIsAZ+RjSS7v+8+B9TG2MFgUZpxu8VWSc7ucuUapuUHcpaBUnGpcLreJCowhVn+S8xzu/\nTZvcy507+buH7kB45n/jyh9Q5/rXuntpmNvPcYO/RnjctwOqquymZ+7x9m/3uZ185HLTMpJOcOa3\ngV/rBnbN7XqD4OAlGdCA1SGySauqwewFZaXg4St4c1kHGlm0+QTArVuitNrddf6ot/JQgsNxWu24\nCotQQ2viupWPavIQ3nh6ukgM0mixp6QgN2qEy+nEcfUqunbtcNpsVJ8+jaFlS1StlqqTJzG1aYNc\nty6l+/fjstnw7t0ba2Ympfv3E/DUU3g0b07e2rVUX7tGyJgxyEFBXF+xAtlopO7rr6MPCyN13jwq\n09OpN3kyYc89R/qqVaStWEFo3740mjULvb8/F958k8yffyZy0iSiJk1C6+nJjU2bOD1jBt5RUbRc\nuhRfNygVnD/PwQkTcFZW0mbZMsK7d7+zBp3V1ZycP5+kNWtoNmkSzadOvY/vvW0up5Nzn37K8Xfe\nISQ+njazZxMSH/+/dSr8jyzv3DlOvPceGXv30vatt4gdP/6+i9Rtq87P5+T8+aRu2ECr2bNpOnHi\nnX6qqnJj61aOTZuGOTSUDqtW3Ulyyjt8mDMzZ2IvLaX1Rx8R0rUrlZmZJL3zDjd++omGEyYQM3Mm\nVRkZXJw7l1vuuy/VGzOGnB9+4Or772OOiCBi9mzKz5/nxooVGIKDqfPaa9ivXydn5UoMtWoR0KcP\nlWfOULpnD/4DBmAIDaXoxx/RGI14xsXhTE3FcfUqlo4doaqK6sOHMTZpmPZZMwAAIABJREFUIna3\nSEzE0KQJGknCeeECuvr1kG1WyLuJtn49KMxHcjrQBAUi3biGHBCALKvIxQVIoWEigGg0iD2KqkqF\nBLi4QIC00y4S/kwG4VF7eokAoqeX2IJaLwtZoEYjVCWSW1XitIs8DsUh7imAQ/DXqv3u9hpaWfSX\nNW6vG/fhcte5eW5JEe8NF4Q1RZrw178vSedhrQg/CvF3HwEU4UsRfu7Dh2J8KJL8KZJ8KZJ9KdL7\nU2z0pdjDm1KLmVJvI2W+Oir8NFQHgN0PFF9QfQAfUL3dhy+ofnfr8QO8AG936YWQI3r+S50XYLmn\nzYJbh37PGIt6t858O2lIuatJv6NHd4nSpAi9uUERe6/cSTpyCemjURGPDbcPhFbUoILeIXTrUrX7\nhhOV4GMU+7D4WETp6d40S7UK3XpZvhD+l98CL/cdh+zlSH4+aAtzMJpkTLIDg2JF5+uJXFqArNiR\nDTJaWxUGnBi1oHfa0SoKOo0GubwcOScHk4cHOr0eCgvR6fXIWi32Y8eQi4rwbd8eZ14elfv349u1\nKwBZc+ei0+mo9dpr2DMyyHjjDYI6dKD2xIlkfvEFic89R0jfvjT//nuKjx7lYLNmePj60ispCUtE\nBHs7duTsK68Q+cor9Dx+nLLUVH6LiCB52TJqPv44A1JSCOvVix1dunB03Diq8/IIiI1lwJEjtHz7\nbQ6OG8ef/fpR6r7dmdZkou3ixQw9fZqiS5dYGxVF8nff/e2OPRqtlriJExlz9Sp1evRgy+DB/NSj\nBxn79/9Htox1KQppW7awvlMnNj/5JDWaN+el9HRavPLK34DbWV3NmSVLWBsdjaTRMDw5mVi3IgQg\n/8wZfuvaleMzZtD2/fd5YvdufCMjKfrrL3b37cvB4cOJHDuWJ8+fx7dpU06/+irbmjW7o9du8OKL\nnHnlFfZ26oRvixb0OH0arcvFgcaNKTxwgNivvsK/bVvODx5M6YkTRC1dSkB8PFfGjqXy7FlCRoyA\nggIK163D1KABAX37UvrLL1gTE/Fq0gRNZiZqdjaGmjXRyjLO5GQ0VitGjQZddTVajQatJKEpL0Ou\nLMegUTFoVLTVFWjNBkHLVpSiMxsxVJZgMmkwWHRoS/KRAn1FwozWKRL5rMUQ6AflBWIjPGelkPWZ\nZZCsYvtqZxn4eoBSKmTGGquQI+tsQq6su52r4T5n75zXLrcUWr177hsUMcbkFFJos+LGiXsTEG9j\niUtgjOnRpKj/NvC+RRD5BFBAAPkEkk8gBfeAeSGBFOBHAQEU4n8H2AslPwo1/hTI/hTq/Cky+lJk\n8qHY00KJt4kyv3sAPRAUPwHe+LmB3AdUf/fhrscP8EWAtw93wd3nnvJ2/W3gvt3nPtBXwcudbGRx\n69dvJxpZEGBu4Z4kJLdu3Xg7kcgN9veWFg0YnGI3Q/n2JllW8NaDbAVvo9gx0ccoFpNJuqtr9zKC\no1xsxlWWL7bKVSrFgjMCLitSgB/a8gKMFj0eetCrdvRmE1prObIMWq2EVqNikBQMWg1a1YWmpAS9\nnx9apxNtVhYeISFoqqtxXb2KpVkzqKjAvmcPPs2bo/P2puy33/Bs0gTPtm0p2rSJ8l27CH/5ZbQW\nC9dffx3vOnWIXrGC0tOnOT9wIJb69Wm+di0Fu3dzuFUrzIGB9ElJwa9lSw50786lhQuJXbSIx/bu\npeDECX5r0ID0NWuIHDuWAZcvozOb2RITw1+LF6NYrdQbOJCnkpKo0aYNmxMSOD5zJvZycVcS77p1\n6bVhA71+/JHEVav4sVUrsvbv/9t61ZlMtHj5ZcakpxP11FPsHD+er2JiOL18+SPtGf7fNVt5OWdW\nrOCLyEiOL15M8/HjGXP1Kq2n/7/2zjw6qvL+/687d5mZTPaFsK8hEHYQgYIgoIIbLmhaUagLBbEq\n1qItpbZ+ta0F0SrWKsWDQdG6VIuKy1dFRZAdREACCSEhJGHNvk1m7vL8/rh3JpMQvtVWf8Fz5n3O\nPXedmefcufd93/f9fD6f51e4W4VACsvi4OrVvNS/Pye3byd782YmLFsW7nSsLynhk1mzeP/KK+k7\nYwY/3rOHHpdfjv/4cb649VY+mjKFzpdcwvS8PHpmZ3PwL3/h3awshBBMO3iQ/vfeS+4f/sBHI0YQ\n060bF2/diqioYMOwYTQWFTFq7VoSBw/mq5/8hEBZGYOefRYlGOTwHXcgqSrd7r6bho0badi+nZRr\nr0Xx+ah65RVkr5fk0aPRt2xBdrnwDRyI8dVXuBobieneHeXkSRTLQvX5kOvrURB4NBduYaJKFoom\n2Z2NwUZUnwfNCuBVDDxxbpTGKqTUJLt0c5xqVy8NVENqkm1tpKXYcdRJPvs+cuNUN3UyuF0BWzS5\nnHtPCdikr5hOFrdp36sey85DCSURhpIEPU4+Skwoj8Vy5thTaJ/PyW+Jx+aSeNHMNb5vJxa+V/K2\nCbwD5Q6Jl5NGuUPqpx0irySZKlKoIJkKkql0litJpJokqkihSkqiSkqmUk6mSk2m0pNElTeB6thY\nahK81CaqNCRJNCWDngJWkq3KCZF5aAqReBLNxB2pzCNJPXKbL7TuEHc8zX9QvOQc45B5mJSdJ2os\nThISjgqXnD/aKRfgc9klbcMZopKtxj0u+ymvOU9pWbeTk1TLSTZylIAbm8hDVctSHXWRkgiNTvqt\nrAM6UkIcaqAOT4IHj9GAKpmoqoQiWcgyqIpANYO4dT9unxdXYwMuvx8tORm5vByvz4eiKOhffomn\na1c8vXtj7NyJLykJb/fuVL/xBlIgQKd58wgUFlLxwgt0vu021A4dKJgzB83lYvhrr2HW17MnO5vE\nIUMY9vzznPjXv9g4ciS+tDQuzc0lpmtXPho+nOIXX2TMc88x8d13OfbBB7yblcXJTz5h5GOPccW2\nbVTs2sWa/v05/PLLyJrGiIUL+fHevTSeOMEr/fpxcNWqsNLuNHYs2Vu2MOL++1l3yy28d+21VB86\ndMZ1K2saQ2bPZnZuLlOWL+fEzp2s6N2bd2fOpGTDhu9UjZu6TvFnn/HJPffw9549Kd24kStefJGZ\nW7eSdcMNZ8SjCyEo/vBDXh0xgn3PPsuUl1+2i0n17QvYY03ueOghXh82jLiePZmRn8+AuXOxDIO9\njzzC20OG4ElPZ3p+Plnz51OyZg1rs7I4vWkTU774gqEPP0z+k0/yvwMHIskyl+zciVvT+GLUKIy6\nOsZu3IivZ092XXEF/uJiBv31r5iFhRz5zW9IGDuWrvPmUfniizTu3UuHG24geOCA3W8yfjy+tDQC\nn36KEh+PFhODdeQIni5d8LjduMrKUN1u5GAQJRDAkxCL5q9DdQlUt4xsBVGCflS3iiYLvK4g3kQv\narAeV5zX7hj0YN8fgRqbsOvK7aqj/ip7nFqjxi5vIeuOMg4NnWja6tvrrGuWnYCjOqStBp1kQKP5\nuBjJvu+82EQeS3NGuc8h6JhQ+Q+XzQ1xNAu/cLa5aPnm7/t2GZbfm+d9v3gQxfG7FcfrVtFR7JQT\nZ7uO6vjicovtBgpBFMcnV1rs15GxnI5QPeyrq5jIwkAROopp2ArSdKJbdLvsgGTQ3OkZ4ZlLkR2h\nrTtFLVr66qFjQvHokd9nSaCHwhNxImAiolyEy/bLTdmOTtEFoDgx54oTHYPtpwdNO/TQH9E5Kin2\nd4lQh6oAHA9eUp0O0hjn+5wiX6awffJA0PbPKyvtiJUTJyAlHVFVielLwHSpmOWViK7dMIqOIHXq\nguVvwvL7Eb37EjyYh9S1K0LTCBw4gDpiBMHaWoJlZXjHjydYUkKwtBTP2LE0Hj6MUVlJ4vTpBI4f\np/rDD0mePh3cbk7985/EjxlD6vTpnP78c0698w5db72VuPPOo3j5cpqOHaP3ggWkXHwxB5csoeyt\nt+gzbx4Zd9xhhxf+8pcosbEMXLiQLldcwanNm9nxy18ihGDIb39L96uuQnK5OLl9O5vuuQczGGTE\nokX0uuaasJ1gNDWxZ9kyvly6lB6XX86g22+n09ixZ40I8VdUsH/1avasWIFlmvSaOpXkzEwSMzJI\nysggoWfPM6ohtoWmqiqO79jB8W3bOL59O6VffEFSRgZ9rrySQTffTELPnm1+zjJNjrz7Ll898QQN\nx48zdvFiel9zTbi9emMjB1eu5KulS+k4dixjliwhrkcPjKYmClat4uslS0gePpyRS5cS27MnpWvW\nsH/JErAsO8JnwAAKnnmGgmeeofNVV9HXGcz3yDPPkDppEj1uv53T771HaU4OaVOnkjhyJJVr1hAo\nLaXTzTejHztGxT//Sfz48WjJyVS/9x6+4cPxdu9O44cfIicloXXqRGD7djz9+6P6fOjbt+POyoKG\nBsSJE2h9eiMdzkfu1BlJdSGKi1C6dUMqK0Hu2BEl2IjL0pES4uFEmR3aV3UK0tLs4nLx8XZRKJfk\neM2Sk/1oOSN1mXZUhzDtIlCqy76ZNdUO5QvVItJUe7sq2+PhuoTtUaODqthRFYpkb3M53rbLsqNF\nXJI9lkAoekSmeVnBWXfmLmc5tK4Ccd2QJpW0f4flLPFMBFm3nCsO2dpEbIT3hcg5kvTVcLSKvV92\nCNveb4ZJXQ5/prmTVBEGqjDsKBfLQDZMZFOES3dLegRxR3aA6g7RtxXh0prEWxN96+87W9hjW52q\nBs2dpiKys9QhaBSb1C3J3m84IYtBp1M04GSVBpxol6DuxKY3NXeAenzQ2GgTeU2dnUhUZ/eMW0ED\n06ViKB6sqipEWkfMkychMRmzKYCFC5GSRvDIEaQuXRCWhX76NFLfvgRLSyE2FrlzZ5ry8pCSkiAt\njYavvyZm2DDkDh2o27oVOS4Oz6BB1O/fj+X3k5KdTbCujmOvvkr8iBEkT5xI5bZtVG3aRPfZs0m9\n7DKOvv46xf/4B12uuYasX/+ayt27yV26FLOpiQH33UePGTMoff999i1ejFFfz6Bf/5reN96IS1Eo\nevttdi9ZQqCykmH33UfmT38azuBsqqwkNyeH/StWIGsaA2+/nf4zZ+JOTGzzuhZCcGLHDko2bqS6\noICqggKqCwqoP3aMuO7dScrIwJ2YiN7QgNHYiN7QgB6aNzQQrK+n43nn0WnUKDqNGkWXcePOOhQZ\n2A+Ngy++yN6nn8abmsrQe+4hIzs7rMibKirY9/TTfP23v9HpggsYvnAh6aNGEayp4eCzz3Jg2TJS\nRo5k8MKFpI0aRdHLL7P/T3/CnZZG1n33kZCVRf6TT1Ly+ut0y86m09SpnH77bU6uXUun668nedw4\nTq9dS+X69aRffTWKLFP59tv4Bg3Cl5VF486dBMvK8A0bhnH0KEZFBbHDhsGpU+iFhbgzMjCPHkX2\nelFTUhD5+Sjp6bhcLkRZGVrnzkgnjyEnJeJSFTh9AjmtA1L5SeSUFBR/LS63ikuV7YqgPp8d+RHr\ng6Z6e2xbv5P0YjTag5wbAbuD0mxy5oGITsUQIUvNoXtKqPPQGXQl1LHoEjbBhghXoeV65HLkPPL4\nto5VsIm6rc94E5DG1LQ/eY+33rcJWdJR0NEi1LaG7qjuSCWuR+wzHILWWxC/GiZuHQUrrNDPJHUd\n1YloCSn+kDpXhHOc0FFME9k0UEyrOaEoROiRJKxjK/QIcg+r77aiXdrKHm1L9Zu0VPHhyBpHVbdO\nSApnkCpOCQGpOWZdCoU0OtmjQmlW/Mh2+Vxke5/ssQnd67OzQt0xtsJXPdAYBLcHYQrMoIHhS8A8\nVY6V1gHrxEno1BWzugbLJWMlJqMXFyP16YNx8iTC54MOHfAfPIjSvTvC7SZQUIA2ciTBqiqaiouJ\nu/BCjJoa6nbtIumKK9AbGqj+9FOSr7oKrXdvTqxZA0LQ5bbbaCgspHT1atKmTKHbbbdxeutWDv31\nr3S87DKyFi3CX1ZG7tKlVO/bR9aCBWTcfjunt25l3+LF1Bw8yMAFC8j82c9QfD6Ob9zIV48+yuld\nuxh0990MuuMO3E4ijxCCsvXr2bd8OSUffUTva69l0Ny5pI8e/Y3is41AgJqiIqoOHSJQW4vm86FG\nTEpMDKrPhy89vc1okUhYpknJunXkrlzJ0Y8+oteVVzLkrrtaDH5QX1rKnscfJ++FF+g1fTrD7r+f\npH79CNbWcuCpp8hdtowul17K4F//mvjMTIpWr2b/I4/g69GDQb/7HZIkkf+Xv1CxdSsZP/85qaNG\nUfy3v1G7Zw897rgDLSGB0pUrsRobSb/6agJ5edRt2ULq1VcjmSZV77xDzODBqAkJ1G3YQOzgwSiq\nStOOHXizspAMA72gAG9mJuLIEZT4eOS4OKyCAtSuXXFVVyCrCi5Nhcpy5E4dkU4eR05JRmmoQfZ5\nkfSATXpuxVbUMR47rlpTwdLBrdpE7VadkWgkJ27asBUyTiSICDrrpkOUkk3gisu+4WXJJk4pIga7\nLWJ1OVMk8SqcSe4KZypqudVy5D7FvlVRAU8CroxzgLy7WfvRHDJWCbYgYFXSI8jYJu/wvhbHG2EC\nb030LefBsOUS+SBoVu2RNk2kNdOs7mVhoArdJnPLQDGscEKRpLeyXEJ2S5CWhB1pqbQOYwwd25Yq\nb/2gCIUpRhK4TkSyEbbFYjnWiAFhYiYUq46tygN6M1krXjukUDjvbbrpxKPrtrXSFLQJvbYe4pJs\nZe71IYIGhuXCsCQs08KKS8A6eRKpWw+MklKstI7odXUIRUVKTydw8CCufv0w/H70ykrU/v3x79+P\n2qePnc25eTPuzExcycnUfv45CVOnoqSnc3rNGrTOnUmYMoXT69YRPHWKHvPnYwYCHHnmGdydO9Pn\n/vup3LePQ089RfrFFzPggQfsQQH+8AfKt2xhwMKFdlW7r79m35IlnFi/ngHz55M1fz5aQgIVX3/N\nnsce48g779Dv5psZ8otfENejR/jabTx1igM5OeSuXIllmmTecAN9b7iBVGdIr+8LNUVFHMjJ4cCq\nVcR06MCA2bPJnDGjxVtAdX4+u5csoWjNGvrfeitDfvlLYrt0Qa+rI/epp8h98km6XHopQ3/3O2J7\n9OBwTg65ixcTl5nJoAceQDQ18fWDDxKoqKDfggXEZ2RweMkSGvLy6DV/PkZ1NaXPPUf8sGGkTJhA\nzbp1NBUUkHLllQQOHMB/4ACJU6ZglZdTv20bcaNGYRUVIQmBp1cvgnv3Iicmovp8WPn5uDMysIqL\nUVJSbLIuO4rctSuUHsXVqSOu8lPIyUkoRgDZCiK5NZuoPZpTTtltx1V7nRr+mquZoBXH5nA7Rd/c\nmn2TabKtmrFsSwPdUdXYYXqqbN/MsrNNcZJkFJqVd8jqiCTr1uTbmrAj97Um6UjFrdjpJK0JXihg\neBNxJ1a3P3lLJQ3Ibh1VC6K6g6iygeYKorh0h9SDrQhbR5UM1PD2kM2i4w4TemsiD6Jihsk+Urmr\nZxC87ihwK2zNRO5vtl+c3w4pdMtwLBcD1XASikLq3DhzCqv2SAUeSdJnI/PWir21zx4icUuyVbTl\ncj4jbAvGClkrqj3XRXPhLhTbZgladp0Wf5NdvyVo2J9zOR67S4MGP3hj7VGE4pOhsspOCDpdgUhK\nRZSXYySnY5wut22VhkaEAEvzYFZVIzp1IVh0BHngQIzycizTRHTsiD83F/d556FXVWGcPo177Fjq\nv/oKvF48/fpRs3EjvmHDiBk5kvK1axGWRfI111C5eTMN+fn0XLAAOTaWgqVL0VJS6L1gAdV5eeQ/\n+SQdJk4ka9EihGWx73/+h4pduxj4m9/Q55ZbaCgtZe+f/kTp+++Tdffd9L/zTjypqdSXlLB32TIO\n5uTQ9eKLGXLPPaT/6EdhpS2E4PTu3Rx69VXyX30VLT6ezBtuoNfVV5MycOA3LtV6NjRVVVGxbx/H\nNmzg6McfU7l/P5k33siA2bNJi0gWEkJwascO9jz2GGXr1zPozjsZfNddeFJSCFRXk/fss+Q+8QSd\nL7mEob//Pb6uXSl84QX2//nPJA4ezMDf/harsZH9Dz1EwBlY2puWRsHixfiPHKHnXXdhnD5NyYoV\ndJg2jcRhwzj10ktYDQ0kTZpE/ZYtiECAxIkTadixA7O8HN+AAQR37sTdqxeyx0Pgq6+IGToUSkuR\nDAMlIQGruBh3375IRQXIHdORGuuRDB3ZoyE1NqAmxSPXVOBKS4XTJyAp0R7wOzHBtkjiYu2Y6xiP\n7Ukrkq2WrYBd99potJNfhG6XWFZc9rLmkHjoeMmwyVuW7GVFdmKtRTNphzMfafanI0k4krhDhB4i\nYLnVstxyv1DP3IZqvzxbCpgK6IqEqSgE5Q6ky2X/f8h727ZtLFy4kM8++6zll0oSfCyc3lthx0R6\nLHCbSGFC11FVHU0JokpBNCl4hgLXCDjKvZnclTDx2+QdsmCa580qv4XaD5N9pApvfhC0VvohCyZ0\nvIyO6qhzxbQtF8WwUJzOUFckOUfaLpE2TKRVEknQbVktRsvvaLZUaEnwrX35FjVgWh1nQrhCo+ko\n+HC1RkfJW06ZgRDZh4hd89hp+6oXGvwItxezwY/hicOsb0DEJ2FW1SDi4rDq/ZiaG11ICMNApKRg\nHD+O6NwZvabGVk2pqQSKilD79SPY1ESgtBTPgAEETpzAMgxix4zBX1yMv7CQ+AsvxF9RQe2ePXSY\nNg1Pz56ceOcd9OpqOs+YgQEcWb0ab+fO9Jo9m9h+/ch74glObdxI9+uvJ2POHJSEBPYtXkzxv/5F\np8mTybj5ZrpefjmG38+BlSvJXbECo6GB3tddR5/sbNLHjAkTtLAsTmzdSv4rr1D8wQc0HD9OXPfu\nxHbr1mIe1707amwsZlMTht8fnkLrtUeOULFvHxVff02wpobkgQPpNG4cXSdPpttFF4W9eFPXObl5\nM8XvvUfR228jDINBd97JgLlzkd1uyj78kMOrV1P24Yd0u+IKBv/2txjV1RzOyaHkjTfoMGECGXPm\nUP3VVxTl5KD4fPSZOxdRU0NJTg4uj4fUCy+kqaiI6s2bSb3oItyxsVS9/z5a58540tNp2LkTd/fu\nuNPSaNi5Ey0tDVVR7NT0nj2xTp3CJcuocXFQUoKSmgoVFfZgBsJA1oO4vB6k+hpknw+psR45PhbV\nX4cr3ofU2OCUSg7aSTKmY4GYjgXiEvakyPYNFE5+cewR2WpOblFo/kxry6MtX1pp45i2yFil2a+O\nVMutlbOzTYQIWj3zeywVTBUMBUzZhSHLGLKKLqnoks00AXwMlA5//+T96KOP8tJLLxEbG8vmzZtb\nfqkkwWLRHE6jYRO5Bye+Ejtczi0ccrfAqyNrRlipa0oQVdZtUpeCLdR6JGGHCFyTdIecg20Qdshz\n1yPWdQrXlzBoYkor0m6p/iPtlmaiD+0zUYWBIuwkF8XUUQ3bP3cFHf+8tToP0lKhtybxEBk7+9bv\nh4kZnEnybSn7toj+/4qasYjw1yM6SMPWDHZkS9CJZgkV87Jalh4QssqntQEuiI3F8AewVA1LNxAu\nFdOwMF0Kpqph1tUh0tNtIu/Y0SbyuDik2FiajhxB7t3btlrq6tD69KGpsBA5NRWtRw8a8/OxLAvP\n4MHU5eUhDIOUqVMx/H5OvvMO8cOHkzBuHFX79nFy3To6X3UVnadNozY/n8MrV6ImJJAxdy6Hk5Pp\nU1dHwQsvUJuXR68ZM+jz05+SMmIEVbm5HH7jDQrfeIOm8nK6XnKJPV18cYsU+2BdHfUlJdQdPUrd\n0aMtlvWGBhSvF8XjQfZ6w8uK10tst26kDBpE8qBBxPfo0UK9+8vLKfnf/6X43Xcp+egjStLSuHzG\nDHpceSWpI0ZQsXMnh1ev5shrrxHfty+9Z82i4/jxlL37LoU5OQgh6HPrrcT26MHRV16hfNMmumVn\nk5CZSeX69VR98QVpU6YgARUff0zcwIH2CDh792JUVeHLzCSQl4fs8+Hu2JGm/HwUnw/N58MoLMTT\ntSvW6dO43G47U7WsDCUtjS3HjzM+NcVO7opxIyOQgk24NAWXoaOoEookcGkyUiQxS6ZNyIYT4SGc\nAQ0kJ8JDlezlcEeiaLujMKSEW3cKtlpeXwYT+9C2b63RkswjCTqSqCPIO2x9aC2/TzhEbalgqKDL\nLkxZtcla0tClyHf9ZpmpoxDAx2Rp6zcm738f33QWZGRk8K9//YtZs2a1fcD6UPB6RExkiMC9OAXI\nnX0eGdwqpgdMLzS5aSZ3jwluC5dbR/YE0dwBNMVW7JoUDJO2WwTDRK6GiT6IWwoRcbCliifI9vUF\n+Cb2bEX2IVsnEOG/m+HlSDsn/DYg6aguA0WNsFyEjmbpKJaJohvIhp3s5dJtr1xEknSI0J15JJmv\nL4WJozm7cg8RfsiGaW25tFbmkeo85KObTtGtcJRLhDVjCvsCFcLx4y3AZfvkbjvNX5JhY63gIjmI\nFisjLBPDJaHrOrLXjeVvQsgqplfFqq/BSE7CrKxETU7GKC8Hnw9LUXAFgyiKgsswkE0TKRBAdbuh\nvh7r9Gm8AwZAdTXS8eMkTp6MfuoUFevWkXT++fiysihfuxa9upqB99+P5XKR+/DDmH4/mbffji8j\ng+JXX+X5tWv55Y03MmrpUtTUVApfeon12dkoXi99fvpTBvzsZ5z/4IPUHD5M6ccfU/TWW2y65x58\nXbqEybzz+PEkDxhA8rcYIzMSwrKoKSjg1PbtnNqxg5Nbt1J98CBdJk+mx5VXMvaJJ1j697/T76ab\nKHrtNb646SaEZdFn1iwu27SJxqIi8p99ln2/+Q3drruOkX/9K7UHDnD4mWdwud30uPFGkvv359jL\nL9PUsyfJY8fiMgyqPvmE1MmTSTv/fOq2bMHyeMJ1TFyBAKrHA01NyLqO2zTRZBmpqQmXqqIKAU1N\naElJiFOnkBPiURrq2KnKTNEbccWouBSBFAygxCgokmmvexQwmuykGd10IkKCtmpWhc0DobpZiohQ\n1Y7CliynU9EJw4skXYmWZB1JtK06D9d/BRNHcgYJt7BHWhO2o6Ka1KbdAAALvUlEQVRFxHKk/WFp\njjOp2S+yhipjuBSCLoekJTWCoCN751rKxZAMDdByDNF/h/+YvKdPn86RI0fOfsDnNGcVhgkbO6jd\n48zdUsQQZpHbcZJZJHu4IS9YHjeWF3QPNIRsGI8FbgPZo6N5AmhaEE0JoLlsUncTRBWBsGoPTbaS\nN6gmiSP0tI9zTq07rMyDYbLWIhR9s9o3nb+itd0TRHMIXXE5f5mmowkdVeiolo5qGci6iaKD4pC5\nZNriI0zIQUede4EUziTgIGcq99YPhNa2SVs2TaiUrk4ziRuWc0NJ9g1nSM3kbVh2DZZQOJUs24W5\nVBeoOpLiQQoaaKqCqklYAT9GQgxGTTVycipWZSVabAxGvYlpGriEQAoGkb1erIYGRGIilmHYyRqW\nhSrLGPX1qIqCFhuLv7gYb1oaUjCIf8sWkgcOxJuZSdXmzZiVlXS86ipqd++m4tNP6XzjjSRNmEDZ\nu+9yYPFiumVn0+OGG4jv149NM2eixMTQZ/Zsrty+nZqDBzn84ou8PXgwqSNH0nvmTPpkZzNw3jws\n0+T0zp2Ufvwxuxcv5sPp0/EkJ5PQt689ZWSEl92JieiNjRhOeGDkvDovzybsnTtxJyTQYdQoOowa\nRe/p00kfMwbZ7abuyBEKV68m7+9/54O//50e11/PBS+8QFzv3hSuWsX6Sy9FjY+n7x13MPiBByha\ntYqtP/kJHS6+mMw776Rq/XqKH32ULjfeSM+5cznxxhuUv/ceiSNGEJecTDA3l7jBg7G6dkUvKMDT\nvTuKy4UUCOBxu7Hq61GFsL1ry8JVU4McG4tcX4/k9aJiIVk6iuZD8vuRZQlNMpF9GkpTA644Fclw\nvMRQhEiC1x4ezKfYER6qZd/XsrAJWHOUpuJYIa4IW6S1D91aHbcOz2utlEOq2oudnBe5rS2LQ3NU\ntUYLohaOqjbCU4ioVQxJJShFyjrNedeP7I1rlpCt5F9IZtL0/4u8/y38+8AfHogSJxXQ/kPCpO2k\nlIZIO0Ty3lbLofUYmlW7R7Ynr4rp9eL3gN8jmmuHeHRUTxDVE8StBWxSd7x1TdgkXk0ixfRAw3D8\n9WaCdtPUYj3kwTef/uAZnrzW6u9o0XkqBVElHc3l/JVayEMPopoGqqGjGML20B3iFrpz+jrQTNYh\ndR5J3G1ta72sY5OwGVFpMUTYpuKod5NwGVzTSTgyZUCzSb4p4MgQDZqcBKGkRLuIfb0LUn1QVw8d\n06C2BknzIase5FPlaAMyMAuLMAZkYR46hDxyOObePbhHDCP49T6UrEHoeXloQ4cilZSgDR+OdewY\n3m7daDp0CHdWFu5hw2jctYsO8+bRkJuLS9fpdMstnHjhBVS/n6yXXqL4qaeo+ewzxnz8MSfeeovc\nu+8m8/e/Z9jSpRxesYKyRx9FWriQq/LzObl+PYeff569Dz7IuFdeYeyKFYxatoySd96h8JVX2Hb3\n3WTccgujly0jffRo0keP5rwHHkBYFvWlpdQcOhSejm/aRM2hQ+i1tSihEMFW87jevRnyi1+Qdv75\nxHTocMYts/Wuuyh67TV6TJ9O5ylTyH7+eVyyzMn161mbmUm3a69l3D/+QcqoUeT95S9suPxy+syZ\nw9S9ezn08MMcffppes2fz+C//Y3Nw4cTP3IkmX/8I4fmzEGqr6f3I49weM4cpMxMki+7jPJVq4g7\n/3ykggK8iYm4hw+n/q238Hbvjp6bS8zQoQQ/+gjvBRcgNnyGOmgQfL0HechApLz9yMOGoO76Eu+w\n4UiHcqFDImDaUUvpXaHyBHRMBcMPumQPJyicynG+WLuSHti+tiLbF6uK3b8im7bn6HI6HlWXTe6y\n5XRQRiTFqCKClCMUeqSC9gJOIc4WHYiRJB1hhwg3mJpD1Ipk+9Oygu5YH22RsH23hySi0oLAm9W1\nO8IDCPXSheTlt6wtL/4LFBUViTFjxpyxvU+fPsL+h6JTdIpO0Sk6fdOpT58+35h//2vl3VYSQ4FT\n2S2KKKKIIorvB99LnHcUUUQRRRTfL763qoJRRBFFFFF8f/jOyLumpoZp06YxceJExo4dy9atWwHY\nunUrY8aM4YILLuBhZ6DacwFr1qzhpptuarGekZHBpEmTmDRpEhs2bGjH1jW3KbKN5+q5BBBC0KVL\nl/D5W7RoUXs3qQUsy2LevHmMHTuWSZMmcfjw4fZu0lkxYsSI8HmcPXt2ezenBbZt28akSZMA2x69\n4IILmDBhAj//+c/bZfCKsyGynbt376Zr167hc/r666+3c+tA13VmzZrFhAkTGD16NGvXrv325/O/\n6bCMxIMPPiiWLVsmhBAiLy9PjBgxQgghxNChQ0VhYaEQQojLL79c7N69+7v6yf8Y8+fPF/379xcz\nZswIb3vggQfEm2++2Y6taom22jhs2LBz7lyGcOjQITFt2rT2bsZZ8eabb4pbb71VCCHE1q1bxdVX\nX93OLWobfr9fDB8+vL2b0SaWLFkiBg8eLH70ox8JIYSYNm2a+Pzzz4UQQsybN0+sWbOmPZsXRut2\nPvfcc+Lxxx9v51a1RE5Ojrj33nuFEEJUVlaKbt26iauuuupbnc/vTHnfe++9zJ07N/xU8Xq91NXV\nEQwG6dWrFwBTp05l3bp139VP/scYN24czz77bIsn265du3j++eeZMGEC9913H6ZptmMLz2xjbW0t\ngUDgnDuXIezatYuysjImT57MFVdcQX5+fns3qQU2bdrEpZdeCsDo0aPZuXNnO7eobezZs4fGxkam\nTp3KRRddxLZt29q7SWGEEvNC1+SXX37JBGf0+csuu+ycuR5bt3PXrl289957XHjhhfzsZz+jvr6+\nnVsI2dnZ4bdny7JQVfVbn8//iLxXrlzJ4MGDW0wFBQV4PB5OnDjBrFmz+POf/0xNTQ3x8fHhz8XF\nxVFTU/Of/OR/hLbauWvXLn784x+fcewll1zC008/zYYNG6ivr2f58uXnVBtra2vb9VxGoq02d+7c\nmUWLFvHpp5+yaNEiZs6c2S5tOxtanz9ZlrFajWd5LsDn83H//ffz4Ycfsnz5cm666aZzpp3Tp09H\niRh0IlL8xMbGttv12Bqt2zl69Ggee+wxPv/8c3r37s1DDz3Ujq2z4fP5iI2Npa6ujuzsbP74xz+2\n+J+/yfn8j0IFZ8+e3aYXt2/fPmbMmMHjjz/O+PHjqa2tpc4ZSxDsGyjxLIXuvw+crZ1t4bbbbiMh\nIQGAq6++mjfffPP7bFoY37SN8fHx7XouI9FWm/1+f/iGGTduHMeOHWuPpp0Vrc+fZVm4/svKgN8H\nMjMzycjIAKBv376kpKRw/PhxunTp0s4tOxOR56+urq7drsd/h2uvvTZ8b19zzTXMnz+/nVtko6Sk\nhOnTp3PnnXcyY8YMfvWrX4X3fZPz+Z1dvbm5uWRnZ/PKK68wdepUwL5hNE2jsLAQIQQfffRR+LXg\nXIIQgqFDh1JWVgbAunXrGDlyZDu3qiXO9XP58MMP8+STTwL2q3/37t3buUUtMW7cON5//33A7vgd\nMmRIO7eobeTk5LBgwQIAjh07Rm1tLZ3+j9F22hPDhw/n888/B+CDDz44p67HSFx66aXs2LEDgE8+\n+eScuLdPnjzJlClTePTRR7nllluAb38+v7P0+EWLFhEMBsNPtcTERNasWRN+9TNNk6lTp3L++ed/\nVz/5X0GSpHCCkSRJrFy5kuuuuw6Px8OgQYOYM2dOO7ewZRuBc/ZcAixcuJCZM2fy/vvvoygKq1at\nau8mtcC1117Lxx9/zLhx4wCbJM9FzJ49m1tvvTV84+bk5Jxzbwiha/Lxxx9nzpw5BINBBgwYwPXX\nX9/OLWuJUDuXL1/OnXfeiaqqdOrUiRUrVrRzy+CRRx6hpqaGhx9+OOx9L1u2jPnz53/j8xlN0oki\niiii+AHi3HqkRxFFFFFE8Y0QJe8ooogiih8gouQdRRRRRPEDRJS8o4giiih+gIiSdxRRRBHFDxBR\n8o4iiiii+AEiSt5RRBFFFD9ARMk7iiiiiOIHiP8HhCJxcB2Hm84AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7b96290>"
]
}
],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import scipy.optimize "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"scipy.optimize.minimize(lambda x: -loglik(*x), [2,2])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 20,
"text": [
" status: 2\n",
" success: False\n",
" njev: 40\n",
" nfev: 170\n",
" hess_inv: array([[ 0.00058145, 0.00029072],\n",
" [ 0.00029072, 0.00014537]])\n",
" fun: 2820.1133778517615\n",
" x: array([ 3.08676892, 4.05996758])\n",
" message: 'Desired error not necessarily achieved due to precision loss.'\n",
" jac: array([ 6.10351562e-05, 6.10351562e-05])"
]
}
],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"np.mean(x)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"latex": [
"$$3.0867693803$$"
],
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAHYAAAAOBAMAAAAI+PWOAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\ngg==\n",
"prompt_number": 21,
"text": [
"3.0867693803"
]
}
],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"np.std(x)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"latex": [
"$$3.97387993117$$"
],
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAIEAAAAPBAMAAAAxNLHLAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIom7VJlmdt1E7xDN\nMqsI8sYEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAACEElEQVQoFaWSu4sTURTGv5nNJiaTxyjYWEZ8\nYJMRtLDK4D+wMbLFNnIbFWwMgtis7ILYxjSLoI2LIvjCaUQQIWnUIqDL1qIBwcJmXXZdH5Edv3NO\nspveW3xzv98593DuPQPsq56ArBdHzqDUblarRl5emRvZoHk1hIpXPRgzs5iYWDa8BmYcSfAQB8Js\nmqbbRhoox2rxynnLJvuR2QK8OiuIWBi5TVQWWaF8D+VoOgQGSjIOXk8tvgFfTBZi/EJwci0xsTDy\nj9DtsUKlB3/oA/6KEj9CsKgWf4FaonKnE/CLBbkFxcLc2y26EXK/aW4byW8kvlMbbDD9rkgHeoud\nCuNs4I0cKrAHXhKRGJK1rcOyo33KHpwKH7FBNu7BwkDpqFD431H8yY8bkem0L5S2BnxoqWD1JtlE\nBW2T5NiK8Hc4zR66shVy/uOfjtliK1NzKqz4jNHdHiybF3gip7LXVjeBedmSZAe4TKz24vVaDBXg\ncTJZQcNeiCmelFUeAjc4aiGFBCViWlmcn8heoB5PVtBwZYgpeUGu4gDBNucqRPr7qlYi703SBHU3\nUUGy2XCEPev8ZpfxOUTpx4gUQuC4WlwKS+sm94Fb5DvvINk86TDT4o+S6wdvOW8yJfk+si21mE9e\nO5MLyHBcuxUkm2tp9hTQBg6d7fANHozJp+bcyPqSoJKflZxzz9vORLO1yH/JP+gyzs06ujzJAAAA\nAElFTkSuQmCC\n",
"prompt_number": 11,
"text": [
"3.97387993117"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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