{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Basic functionalities of `kerrgeodesic_gw`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This Jupyter notebook requires [SageMath](http://www.sagemath.org/) (version $\\geq$ 8.2), with the package [kerrgeodesic_gw](https://github.com/BlackHolePerturbationToolkit/kerrgeodesic_gw). To install it, simply run `sage -pip install kerrgeodesic_gw` "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, we set up the notebook to use LaTeX-formatted display:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%display latex"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Spin-weighted spherical harmonics\n",
"\n",
"Let us first introduce two symbolic variables for the angles $\\theta$ and $\\phi$:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"theta, phi = var('theta phi')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Spin-weighted spherical harmonics ${}_{s} Y_{\\ell m}(\\theta,\\phi)$ are given by the function `spin_weighted_spherical_harmonic`:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"from kerrgeodesic_gw import spin_weighted_spherical_harmonic"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For instance, the harmonic ${}_{-2} Y_{4,3}(\\theta,\\phi)$ is"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"-3/16*(2*sqrt(7)*sqrt(2)*cos(theta)^3 + 3*sqrt(7)*sqrt(2)*cos(theta)^2 - sqrt(7)*sqrt(2))*e^(3*I*phi)*sin(theta)/sqrt(pi)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"spin_weighted_spherical_harmonic(-2, 4, 3, theta, phi)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As for any SageMath function, the documentation of this function is accessible with the question mark:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"#spin_weighted_spherical_harmonic?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A double question mark returns the Python source code (SageMath is open-source, isn't it?)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# spin_weighted_spherical_harmonic??"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The value at $\\theta=\\frac{\\pi}{2}$ and $\\phi=\\frac{\\pi}{4}$:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"(3/16*I - 3/16)*sqrt(7)/sqrt(pi)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"spin_weighted_spherical_harmonic(-2, 4, 3, pi/2, pi/4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The same thing as a SageMath floating point number (RDF=Real Double Field):"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"-0.2798822494425865 + 0.27988224944258655*I"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"spin_weighted_spherical_harmonic(-2, 4, 3, pi/2, pi/4, numerical=RDF)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Evaluation on floating point values:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"0.373137046398365 - 0.108585190736943*I"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"spin_weighted_spherical_harmonic(-2, 4, 3, 1.5, 2.)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"One can ask for an evaluation with a arbitrary precision. For instance, for a evaluation with 200 bits of precision:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Real Field with 200 bits of precision\n"
]
}
],
"source": [
"R200 = RealField(200)\n",
"print(R200)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"0.37313704639836510249804293001585548897558479457873139190993 - 0.10858519073694266117255822336581183461167520083611848591637*I"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"spin_weighted_spherical_harmonic(-2, 4, 3, 1.5, 2., numerical=R200)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Spin weighted spheroidal harmonics\n",
"\n",
"Spin weighted spherical harmonics ${}_{s} S_{\\ell m}^\\gamma(\\theta,\\phi)$ are given by the function `spin_weighted_spheroidal_harmonic`:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"from kerrgeodesic_gw import spin_weighted_spheroidal_harmonic"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For instance, the harmonic ${}_{-2} S_{4,3}^{1.1}\\left(\\frac{\\pi}{2},\\frac{\\pi}{3}\\right)$ is"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"0.1121279717272447 + 0.1942113439812344*I"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"spin_weighted_spheroidal_harmonic(-2, 2, 1, 1.1, pi/2, pi/3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The output is always a double precision number, even if the input has larger precision:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"-0.0859643850221275 + 0.0122539259124105*I"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"spin_weighted_spheroidal_harmonic(-2, 2, 1, 1.1, R200(2), R200(3))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some plots for $s=-2$ and $\\ell=3$:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 4 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"Graphics object consisting of 3 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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x47xuhuHROqpB66gGf39/ypRpzO+/w8KFcOyY6eft2sErr8BLL8n9BNY+OgWCfexjPvNZwhLucS/1s4Y05FVe5RVeoTnNsx+VS+HKFfj1V2no0i/ya9IE3n4b3nxTxpHLBXR/VIORdbT7AMU5wdLggV5eMXz/fWF4fSkr4vvy8uhQuY9eYxERERGUKFEir5theLSOatA65ozYWFi5En79NYGtW11SAwE7OUGXLtLMvfwyVM5hJsarXGUOc5jPfM5yNvX9ylTmXd7lHd6hEY3Mr1AIOcU6fjysXZsWwbhMGRgwQB55YAx0f1RDftDR2gDFOkquFfj5+eHp6UmbNm0suu706ZXyJKQh+9sip2M1FjN58uS8bkKBQOuoBq2j5QghQ5EMHCjXH7/5JmzeLE1d+/YwfboM6bZ1KwwaZL2pEwi2sIV/8k+qU50f+IGznKUIRXiXd9nMZsIIwwcf801dYiIsXgytW8Ozz8Lq1dLUdeki19NduQJjxuSJqQPdH1VhZB31iF0OsNRNX7ggI5dTKI6uq4viP+k5ueVdo9Fo7ICYGLk5dPJkOHw47f2qVaFfP3nUq6fgPsTwO78zgQmc5GTq+53pzPu8z6u8SjGKWVZpVJScbh0/XiaJBShcGN5/HwYPlkHwNBqF6BE7A7BggRduhZMh3pUD5WqStGMbxMXldbMMh5eXV143oUCgdVSD1jF7wsLg22+lgXvvPWnqXF3hnXfkqNzFi+Dm5pVjU3eTm/zAD1SjGh/xESc5STGKMZjBnOQkO9hBf/pbZuqio2HkSBkz5YsvpKkrVw5+/lmeT5mSr0yd7o9qMLKOesQuB1jqpu/fv0/XZ0pw7KgD/N2Hk9+twnPyFrmtS2M29+/fp2TJknndDMOjdVSD1jFzjh2TnmjJkrQlaNWqwaefwgcfQNmyaWVzomM44YxmNNOYlhqmpBrV+IzP+IAPKIkV9cbHy80QI0bIeWGQw4lffQXvvitH6/Ihuj+qIT/oqEfsDMDChQtp5Plol1XKOruNG/O0TUZk4cKFed2EAoHWUQ1aR1OEkAGEX3gBmjeXy9GSk+VytBUrZBiTb74xNXVgnY7XuMZ/+A81qck4xhFDDG1ow1KWco5zfMVXlpu6pCS5LbdhQ7nALzxc7midNw+Cg+Ff/8q3pg50f1SFkXXUxi4X6dKlS1oGipCGBD6F3kBhBV26dMnrJhQItI5q0DqmsWsXPPOMzIa1bp2Mu/vGG3DokJxyffllcM4kyJYlOl7lKoMZTC1qMYlJxBJLe9qzgQ3sZz+v8zrOlkbzEkJuz23eXI7InT8v03lNmQKnT8sFgE5OltWZB+j+qAYj66iNXS5y7tw5E2O3vy0QFCTDqmvM5ty5c3ndhAKB1lENWkc4eBB69ZKpTXfskGm9Pv5Y+qElS6Bly+zrMEfHCCIYxjDqUhc//Igjjk50YjOb2c1uetLT/Nhzj/8CnTpJ53niBJQsCT4+cnhx0CD5CxkE3R/VYGQddYDiXKRQoUJpMSpDGnKsCUQXhiKbNsmYRxqzKGSgh2x+RuuoBnvWMSQEhg2TU6wgR+Pefx/+9z+5UcISstIxnnhmMIOf+Znb3AagIx3xwosudLHOzIFM+/Xf/8KMGXLErkgR+M9/YOjQHOdszSvsuT+qxMg66hG7XKRChQrUqQPOzgIeuJMcXoUjLdDTsRZSoUKFvG5CgUDrqAZ71PHePel/mjSRps7BQc5enjolPZKlpg4y13Eta2lMYz7jM25zm/rU52/+Zic76UpX60ydELBggdzNOn26/PmddyA0FLy9DWvqwD77oy0wso7a2OUihw4dolAhqFPnsQ0UmzfLBbsaszh06FBeN6FAoHVUgz3pmJgIU6fKhDmTJsnHVp8+cvZy/nyoXdv6uh/X8SxnefHRvzOcoTzlmcY0TnCCPvSxfpQuJEQuBOzXD27elJsktm+XRi+n6S3yAfbUH22JkXXUxi4X6dOnD4DpBoqOLnD3rlxdrDGLFB01OUPrqAZ70XHbNmjRQi45u3MHGjWSf5P+/Td4eua8/hQd44nnJ36iEY1Yy1qccWYIQzjDGQYy0PJNESkkJcnYK82by4WAhQuDry8cPSqzRhQQ7KU/2hoj66iNXS4ya9YsIJ2xC/ZkfycXea6nY80mRUdNztA6qqGg63jzpsxj362bHJkrXRr8/KQf+sc/1N1n1qxZHOAArWjFcIYTTzw96EEQQYxmNMUxP47XE4SGyp0d334r49O98IIcufvmG0NtjDCHgt4fcwsj66gDFOcAa4MH/v67XM7B0wEQ0IUb5aF83Q6we7ftGqvRaDQWIIQM3fbVV3JSwdFRBhb+6Sdp7lQSTTQ/8APjGU8yyZSlLJOYxJu8af2UK8gAen5+0sDFxEDx4jBxIvTvLxcGajT5GB2gOBfx8/PD09OTNm3aWHRdSoqSlBE7pxCZJDrwKWDfPrkiWZMtRk71kp/QOqqhIOp44QJ07y7Tf929K2cv9++XOV5Vm7rtbKcZzRjLWJJJ5m3eJoQQ3uKtnJm6sDA5pPjZZ9LUdesmw0sNGFCgTV1B7I95gZF11CN2OcBSNx0TE0PhwoV5+BCKpaQqvFmO75cJfh50B5Ytg9des22jCwApOmpyhtZRDQVJRyHkJoh//1vmvHdzkyN0X3wBLi5q7xVFFEMZygxmAFBJVGKGwwxe5MWcV754sQykFxUlQ5iMHg0DB8phxwJOQeqPeUl+0FGP2BmAqVOnAlC0qMwnDcidsc8Wlec6vZhZpOioyRlaRzUUFB3v3JFZIgYMkH7o6aflmrqvv1Zv6gIJpDnNU03dx3zMJ1M+ybmpi46WgfTeflv+Eh06yIS1n35qF6YOCk5/zGuMrKN99PR8Qu/evVPPU3eRhTQksPZdBEhjpwdQsyW9jhrr0TqqoSDouHkzNG0Kf/4pgwx7e4O/f87Cl2REEkn44ENHOnKe81SjGtvYxnSm0/e5vjmr/OxZaN8efvtNmrgffpC7X+vUUdN4g1AQ+mN+wMg6amOXixw+fDj1PP06u/suDzjTyAUuX5Y7tTRZkl5HjfVoHdVgZB1jY+U0a48eMrNh/fpyue9336lPi3qVq3SnO//lvySSyBu8wTGO8QzPADnUcc0aaN0ajh+H8uVlYtqffso8MW0Bxsj9MT9hZB21sctFypUrl3qeYuyKhTwFQOC79eUbejo2W9LrqLEeraMajKrj6dPw1FMwYYL8+ZNP4PBhaNVK/b22sY0WtMAff4pSlN/4jT/4g5KUTC1jlY5JSfDjj/DSSxARIUfsDh+Grl3VNd5gGLU/5jeMrKM2drmIq6tr6nnKVGxScD0A9vcoId/Qxi5b0uuosR6toxqMqOPSpXKAKyhIDnCtWSMzShQpovY+AsFoRtOd7tziFs1pzhGOMIABT+x4tVjHu3fhxRfh55/lz4MGyQwSBSB7RE4wYn/MjxhZR23scpFz586lnqeM2D24UgqiihFYP1K+sWOH3JqvyZT0OmqsR+uoBiPpmJgIQ4ZA377w4IFMuHD0qIzXq5pIInmN1/iar0kmmQEMYA97qEvdDMtbpOPJk9KZbtggM0jMnw9TphS4YMPWYKT+mJ8xso7a2OUiXdNND5QqBak5hk814Gjh08TVqiwXvQQE5En7jEJXO55mUYnWUQ1G0fHePWngxo6VP3/7LWzZAhUrqr9XCCG0pS1/8RcuuDCNacxhDoXJPHyE2Tpu2iR3u164ALVqwd698O67ahpeADBKf8zvGFlHbexykQULFpj8nLbOrg3xDvEce//R4hY9HZslj+uosQ6toxqMoGNIiFxPt2mTnG5duhR8fGyzt2AFK3iKpzjFKSpTmQACGMjAbIMNm6XjjBnw/PMQGSnjsQQGQrNmilpeMDBCfzQCRtZRByjOAZYGD0xOTsYxXSylQYPkupZa3yzlvG9fJh15j3+3/E06vuBgWzbd0Dyuo8Y6tI5qyO86rlmTFtatenX4+2+ZSUI1AoEvvvyX/wLQla78wR9UoEI2V0qy1DEpSQbUGzdO/tyvH8ycCQZeB2Ur8nt/NAr5QUcdoNgAeHt7m/ycMmLnEtIUgEDPhzL+UkiIDH2iyZDHddRYh9ZRDflZx0mToHdvaeq6dIEDB2xj6uKI4z3eSzV1gxnMZjabbeogCx1jY+H119NMnZcXzJ2rTV0m5Of+aCSMrKMescsBOR2x27pVpjKsVPch10KLUZe6hHYoK9eMzJoFH35oy+Yblvzwl1RBQOuohvyoY3IyDB2a5oX+9S+5t0B1BgmACCJ4mZfZznaccGIiExnEIIvryVDHiAjo00duKnN1lYbuzTfVNLyAkh/7oxHJDzrqEbtcxM/PD09PT9q0aWPRdT4+PiY/p4zYhZ8rAnGFOMMZ7r7cWb65YYOKphZIHtdRYx1aRzXkNx1jY6X3STF1Pj4wfbptTN01rtGZzmxnO+64s5a1Vpk6yEDHmzfhmWekqXN3l2uPtanLlvzWH42KkXXUI3Y5wFI3fenSJapVq5b6sxByd2xEBFQ5/jxXmqxnw6kJ9Gz4OZQoAbdv22Xk9Ox4XEeNdWgd1ZCfdIyIkLF6d+6URm7uXLm+zhac5jQ96UkYYXjgwXrW0xzr53lNdLx4UabDOHMGypWTpq5FCzUNL+Dkp/5oZPKDjnrEzgBs377d5GcHh7RRu+ohzwGwv949KF1aPqEDA3O5hcbgcR011qF1VEN+0fHOHejWTZq6EiWkF7KVqQskkI50JIww6lCHPezJkamDdDqePAmdOklTV7067NqlTZ0F5Jf+aHSMrKM2drlI7QwyaqcYO/eU1GKOB6F7d/mmno7NkIx01FiO1lEN+UHH8HCZRevQIShbViZgeOYZ29xrPet5hme4wx1a05rd7KYmNXNcb+3ateHgQejcGa5elel5du+GevUUtNp+yA/9sSBgZB21sctF4uLinngvxdglBMto7PvZj+jZQ76p49llSEY6aixH66iGvNbxyhW54/XECRlsOCDANjtfAZawhN70JppoetADf/wpT3kldRc6dkzuJrt7F9q2lUOPdp4ezBryuj8WFIysozZ2ucitW7eeeC8lZ+yNkFK44MJtbnOx1yO3d+CAXGenMSEjHTWWo3VUQ17qeP68jNMbGgrVqklTl/LHomrmMY+3eZtEEnmbt1nNaopRTE3l+/bRbMgQuQSlUyfYvFkuSdFYjP5eq8HIOmpjl4u0bNnyifdSHsJnQh1pmiTXkez3CIMmTeTuii1bcrOJhiAjHTWWo3VUQ17peOqUnLW8eBHq1JEDXHXq2OZe05nOAAaQTDIf8RELWEAhFOVl3bMHevSgUEyM/IXWr5e7YDVWob/XajCyjtrY5SKrVq164r3q1cHNDeLioMGFXoBcmEzPnrKAno59gox01FiO1lENeaFjSIicfk1ZihYQIEfsbMEUpvAJnwDwb/7NDGbgqOq/jj175LMuKopLtWvDunVQTNEooJ2iv9dqMLKOOtxJDrB0K3JMTAyFCz+ZBLtFCzh6FP6zchsTe3ejAx3YveUnuYmiYkX59HbIOs+iPZGZjhrL0DqqIbd1PHtWDmxdvy7X0m3aJCOC2IKZzORjPgZgKEMZychsc76azeHDcodHZCQ8+ywxS5dSuEwZNXXbMfp7rYb8oKMOd2IAxo4dm+H7KdOxziFNADjMYRI6tZXZuq9fh6Cg3GqiIchMR41laB3VkJs6hoXJkCbXr0PjxnKlhq1M3Vzmppq6r/hKrakLCZEjdZGR0qWuXs3YadPU1G3n6O+1Goysox6xywHWuunHGTECfvgB+vUXrJxbiggiOMQhWr7wvZyaGDVK5gfSaDR2y9Wrcvr13DkZASQgACqYn4rVIhaxiHd4B4Hg3/ybiUxUZ+ouXJAbJK5dg9atZW7FHDw/NZqCih6xMwBeXl4Zvp8yYncqxIGneBTPjkB4TgYt1vHsTMlMR41laB3VkBs63r0rEzGcOwc1a0ovZCtT9yd/0o9+CAQf87FaU3ftmgxpcu0aNGokn22P/sPS/VENWkc1GFlHPWKXAyx10zdu3KBCBk/j4GD5jHN3h39H/A9vh18YwAB+C/0O6teHQoVkWHm9qBjIXEeNZWgd1WBrHR8+lF5o3z7L/k1pAAAgAElEQVQZ1m3XLqhRwzb3WslKXuM1EknkPd5jNrPVbZS4fVsOOQYHQ+3achtvxYqpH+v+qAatoxryg456xC4X8fPzw9PTkzZt2lh03cqVKzN8v04dcHKCqCioc7UL8GjErm5d+ed5fDz4++e43QWFzHTUWIbWUQ221DEhAV57TZq6UqXkJnlbmTp//HmDN0gkkf/j/5jFLHWmLjJSzkAEB0t3umWLiakD3R9VoXVUg5F11MbOCgYNGkRwcDAHDhyw6LpWrVpl+H6hQmnxp4qGtAYghBAiHaL0dGwGZKajxjK0jmqwlY5CwAcfyK9+4cKwZo0c2bcFRzhCH/oQTzyv8ApzmYsTTmoqj4+Hf/5T5jsrV06augzcqe6PatA6qsHIOmpjl4vcuHEj089S1tmFh5SiOtURCA5yEHrJ2HasXy+f9JosddSYj9ZRDbbS8eefYcECOZq/bBl06GCT23Ce8/SiF1FE0YUu/M7vOOOspnIh4MMPYds2uZRk40Zo0CDDoro/qkHrqAYj66iNXS4SHx+f6WcpqcWCg0ndQLGf/fDss3JI78IFmTdIk6WOGvPROqrBFjr+/jsMHy7Pp02DF15QfgsAbnCDHvTgBjdoRjNWshI33NTd4Mcf09zp8uUyaGcm6P6oBq2jGoysozZ2uUjt2rUz/SxlxC4kBNrSFni0zq5oURnnCeSonSZLHTXmo3VUg2odd+6E99+X50OHwkcfKa0+lSiieJ7nOcc5alCD9aynBCXU3WD2bBnLCWDmTLmtNwt0f1SD1lENRtZRG7tcZMeOHZl+lt7YpR+xEwjT6VhNljpqzEfrqAaVOp49K5ejxcfDK6+Ar6+yqk1IJJHXeI3DHKYc5djEJipSMfsLzWXDBhg4UJ5//32aU80C3R/VoHVUg5F11OFOcoClW5Hv379PyZIlM/zs4cO0aCYXbz2kdtkSJJHEZS5TJSRKztW6usqAVkWKqPw1DEdWOmrMR+uoBlU63r0L7dvLFRdt2sD27bb7qg9mMH74UYQibGc7bbBsh3+WHDkiZxkePIB334V588xKiaj7oxq0jmrIDzrqcCcGYMqUKZl+VrQoVK8uzy+FFKUxjYFH6+waNJAfxsXpsCdkraPGfLSOalChY8oIXWgoVKsGq1bZztT5PfoHsJCFak3dpUtyQeCDB3J98OzZZue51v1RDVpHNRhaR1EASE5OFj/++KOoWLGicHNzE126dBEnTpzI8podO3aIF198UVSsWFEAYsWKFRbfNyIiQgAiIiLC2qab8NxzQoAQM2YI8S/xL4FADBVD5Ycffyw/HDRIyb00Gk3+YfBg+fV2dxciKMh299koNgon4SQQCB/ho7byqCghmjaVv0jjxkLcv6+2fo3GzrDWYxSIEbtRo0Yxbtw4pkyZwoEDB/Dw8KB79+5ERUVles3Dhw9p1qxZrrry7FKUpF9n1452AOxjn3wzZZ2djmdn6FQv+QmtoxpyquP8+ZDyGFq4EBo3VtCoDAghhNd5nSSS6Ec/vuEbdZUnJ0P//nD8OJQvD2vXQgnLNmLo/qgGraMaDK2jjYxmrpGcnCw8PDyEr69v6nuxsbGiRIkSYvr06WbVQS6N2N3P5i/YWbPkH7s9ewoRLIIFAlFYFBbxIl6IyEghXFxkgdBQi9takMhOR415aB3VkBMdDx0Sws1Nfq1/+EFhox7jlrglaolaAoHoJDqJWBGr9gY//CB/iUKFhNi926oqdH9Ug9ZRDflBR7sdsbtw4QLh4eH0SLeV3tXVlS5durBnz548bNmTzJ8/P8vPU0bsgoOhPvUpSUliiCGIIJlI9umnZQE73x2bnY4a89A6qsFaHW/fljtgY2PlsrQff1TcsEfEE8+rvMp5zlOTmvzFX7jiqu4Gy5bJaMoA06dbHUlZ90c1aB3VYGQdDW/swsPDAZ5I1luhQoXUz1QRFxdHZGSkyWEJzzzzTJafpxi7y5ch+oFjajy7J6Zj7dzYZaejxjy0jmqwRsfERHjzTbnXoE4dOQXraIOnsUAwkIEEEEBxirOa1ZSjnLobHDkip2ABvvgC3nvP6qp0f1SD1lENRtbRafjwlPjmxuD333+nQ4cOeHt74+3tzZtvvsncuXMZMmQI7u7uqeVWrVpFZGQk77zzTrZ1/vTTT7z55ps0yCTVTQpeXl4899xz+Pr64uvry/jx4wHo27cv8+fPp3Xr1vj6+tK5c2e8vLyoU6cOS5cuJSkpiRMnTrBy5UoqV67M4sWLadiwIaNHj04t27hxYxYvnsO+fS2IiXGifPldJFQP45D7IYrGFuW072k6v/QSTJ2KuHKFSc7OlCpXjm3bthEeHk54eDhbt26lTJkyTJ48ObXejh07MnLkSKpVq8bq1auJiori/Pnz7Nu3D1dXV+bMmUOrVq1M2l2vXj0WL15McnIyQUFBBAUFkZSUxJIlS2jQoAFjxoxJLdu0aVNmz55N4cKF2bt3L+fPnycyMpI1a9ZQpUoVJkyYkFq2TZs2TJo0iXLlyrFlyxZu3rzJtWvX2L59O6VKlWLKlCl06tSJX375hU6dOuHt7U2NGjVYuXIlDx484OzZswQGBhISEsLOnTtp0aIFI0eOTK2/fv36LFq0CICjR49y8uRJEhISWLZsGfXq1TNpd7NmzZg1axZFixZl9+7dhIWFce/ePdatW0flypVN2v3UU08xfvx4ypcvz+bNm7l9+zZXrlxhx44dlCxZkmnTpqX2yZRratasyYoVK4iOjiY0NJSDBw/i7OzMvHnzaN68uUm7GzZsyMKFC3F0dOTw4cOcOnWKuLg4/vzzT+rUqcPYsWNTyzZv3pwZM2bg7u7Ozp07uXTpEvfu3WPDhg14eHgwceLE1LJt27Zl3LhxeHh4sHHjRu7cucPly5fZuXMnxYsXZ8SIEfTu3duk3bVq1WL58uXExcUREhLC4cOHcXJyYsGCBTRp0oRRo0allvX09GT+/Pk4Oztz8OBBTp8+TUxMDCtWrKBWrVqMGzcutWyLFi2YNm0axYsXJyAggCtXrnD79m02bdpEhQoVTNrdvn17xowZQ6VKlVi3bh33798nLCyMXbt2UaxYMWbOnEnbtm3x8fEx+a4tW7aM+Ph4goODOXr0aOrzolGjRibftUaNGjFv3jxcXFw4cOAAZ86cITo6mr///psaNWqYtLtly5b4+flRqlQp/P39uXbtGrdu3WLz5s2UK1eOSZMm4eTkxPLly+nQoQOjRo2iSpUqrFmzhoiICC5cuMDevXspUqQIs2fPTn1GrFvXmYULoUiRZD79dAWlSz/gxIkTHD9+HCFEps+IOXPm4Obmxv79+zl79iwPHjxg1apVVK9enfHjx6eWbd26NZMmTWJVnVVMKToFR+HILyG/cG/tPWXPiBUzZ9Lg009xvn+fG82bc/HHH1mybJnVz4jPP/+c559/XskzwtXVlblz59rlMyIuLo7t27creUZMnz6ddu3a2eUzwsfHh6pVqyp5RqSUteQZ0blzZ0aMGMHOnTv57rvvcHW1YJTdNjPDtiMyMlKcOXMm9Thx4oQAxOHDh03K9e7dW/Tr18+sOjFzjV1sbKyIiIhIPS5fvmzR/Pf69euzLdO1q1yqMn++EOvFeoFA1BV15YfJyUJUrSoLrFtn1j0LIuboqMkeraMaLNVx5Ur5FQYhliyxUaOEENvENuEoHAUCMUFMUFt5YqIQ3brJX6JuXSHu3s1xlbo/qkHrqIb8oKPdrLFzd3enTp06qYenpyceHh5s3rw5tUx8fDw7duygg+Ks2a6urhQvXtzksIQyZcpkWyb9OruUDBRnOMMd7sh4UHo61iwdNdmjdVSDJTqGhcGAAfL8P/+BN96wTZsuc5m+9CWZZPrRj8/4TO0Nvv8etm6Vwfb++gtKlcpxlbo/qkHrqAYj62g4Y/c4Dg4OfP7553h7e7NixQpOnDjBgAEDKFKkCG+//XZquW7dupmENnnw4AFHjx5NHY69cOECR48e5dKlSzZra8q9siJ9yJPSlKY+9YF06+yee06+2nHYE3N01GSP1lEN5uqYkCDX1d27JzNLjBplm/bEEcdrvMYtbtGc5kxnOg6YFyTYLP7+G3x85Pns2cris+j+qAatoxoMraONRhBzlZQAxR4eHsLV1VV07txZBD0W5bN69erixx9/TP3Z399fAE8c/fv3N/u+lg6TXr9+PdsymzfL2Y169eTP/UV/gUD8T/wv5aZCODvLQmfPmt3WgoQ5OmqyR+uoBnN1HDpUfm1LlBDi/HnbtScluHkpUUqcF4pvFBoqRPHi8hf5z3+UVq37oxq0jmrIDzrazVRsRjg4ODB8+HCuX79ObGwsO3bsoPFjf0VevHiR9PtEunbtihDiiWPu3Lk2a+fs2bOzLePpKV/PnZMZxJ4IVFy8OHTqJM/tdDrWHB012aN1VIM5Om7cCKNHy/M5c6BmTdu0ZR7zmMlMHHBgMYupicIbPXwo855FRkLHjmm/kCJ0f1SD1lENRtbRQQgh8roRRsXaBL1ZIQSULCmfnUFBkNj4KC1ogTvu3OMeTjjJOZxvvoHnn5cR3jUaTb7l1i1o2hTCw+HTT8HPzzb3CSGE1rQmmmh+4id+4Ad1lQsB77wDixaBhwccPgwVK6qrX6PRPIG1HqNAjNgZBXNSlDg4pI3aBQdDYxpThCJEEcUpTskPUjZQ+PvL6KZ2hqFTveQjtI5qyEpHIeDDD6Wp8/SEMWNs04YYYniDN4gmmm50YxjD1N5g+nRp6pycYOlSm5g63R/VoHVUg5F11CN2OcBSNx0bG4ubm1u25T74QE7X/PgjDB8OXenKDnYwm9l8wAfyf4uqVeHqVbmJomdPBb+NcTBXR03WaB3VkJWOM2fCxx+DiwsEBkLz5rZpw0AGMoMZlKc8xziGBx7qKj96FNq1k2tDxoyBr75SV3c6dH9Ug9ZRDflBRz1iZwAmT55sVrlGjeTryZPytT3tgXTr7Ow87Im5OmqyRuuohsx0DA2VyRhAbiK1lalbwhJmMAMHHPid39WauqgoGZMlLg5efBG+/FJd3Y+h+6MatI5qMLKO2tjlIi+//LJZ5dJPxUIGGyjAro2duTpqskbrqIaMdExIgP/7P4iOhm7d0gyeas5xjo/4CIDv+I5/8A91lQsBAwfCmTNyhmDuXPlHpY3Q/VENWkc1GFlHbexykUOHDplVLmXELjQU4uNJzRl7kpNE8ig/bbdu4OwsC50/b4vm5lvM1VGTNVpHNWSk408/wcGDMm7vvHm2yQMbRxx96UsUUXSkIz/xk9ob/Ppr2rq6P/4AGwds1f1RDVpHNRhZR23schEPD/OmSKpUAXd3mSj87FnwwIMa1EAgOMABWahECUjJrGFnwYrN1VGTNVpHNTyu46FD4Osrz2fOhMqVbXPfb/mWQxyiNKVZzGKccVZX+alT8NmjbBXe3mnPGhui+6MatI5qMLKO2thZgZ+fH56enrRp08ai65ydzXvwpt8Zm7LOTk/HpmGujpqs0TqqIb2O8fHw/vuQlAR9+8Jrr9nmnqtYxQQmADCXuVSlqrrK4+Lg7bchJgZ69IAhQ9TVnQW6P6pB66gGI+uojZ0VDBo0iODgYA4cOGDRdRcuXDC7rEXr7LZts6uwJ5boqMkcraMa0us4ciQcPw5ly4Kt1l7f4IbcHQ98wRe8xEtqb/D993DkiJx6nTvXNvPIGaD7oxq0jmowso7a2OUinTt3Nrvs4ztj0xs7waMINU2bQqVKcoX2zp0qm5qvsURHTeZoHdWQouOJEzBihHxv0iQoV079vQSCD/iA29ymKU3xwUftDbZuNU2RkYtBiHV/VIPWUQ1G1lEbu1xk0aJFZpd9fMSuOc0pRCFuc5vzPNoskT7siR1loLBER03maB3VsGjRIpKSZPzJhATo3RvefNM295rFLNaylkIUYiELccVVXeV37kC/fvJ84ED5i+Qiuj+qQeuoBiPrqAMU5wBLgwcmJSXh5ORkVt2XLkH16jKw6cOH8rU97dnHPhaykP/j/2TBFStk/sY6dWRYAjvAEh01maN1VENSUhITJjgxZIjc0xQcLAfSVXOWszSjGdFEM4YxfIXCQMFCwKuvyudJ/foyZViRIurqNwPdH9WgdVRDftBRByg2AD4+5k+bVK0KxYrJEYCzZ+V7KdOxe9mbVvAf/5Cu7+xZGfrEDrBER03maB3VMGTIdP73P3k+dqxtTF0iibzLu0QTTVe68gWKA+PNni1NnYsLLF6c66YOdH9UhdZRDUbWUY/Y5QBr3bS5tG0r0xAtWyZ31y1lKX3pSytacZCDaQW7d4ctW2DcONtFQtVoNE+QnAzPPAMBAfJvrE2bbBPD1wsvvud7ilOcIIKoRjV1lZ8+DS1byrW6o0fn2i5YjUaTNXrEzgBYmlQ4s52xxzhGNNFpBV94Qb7ayTo7Iydnzk9oHXPOjBnS1BUtCrNm2cbUHeRgavBhP/zUmrrERHjnnbQUGTZMGZYduj+qQeuoBiPrqI1dLtK/f3+Lyj++M7YqValIRRJJ5DCH0wqmGLuAAJnbsYBjqY6ajNE65oywMPj6a3nu4wM1aqi/Rxxx9Kc/iSTyOq+nra1Vha+vTJFRsqTtUmSYie6PatA6qsHIOmpjl4ts3brVovKPj9g54JBxPLu6deWRkACbN6toar7GUh01GaN1tB4h4JNP4MEDqFv3BoMG2eY+P/MzwQRTnvJMZSoOKBwSPHpU5j4DmDLFdikyzET3RzVoHdVgZB21sctF6tWrZ1H5lBG706elZ4NMAhWDXU3HWqqjJmO0jtazbJlM+FKoEPz001WbDHQd4hAjGQnAVKZSlrLqKo+Lk6FNEhPlrvq331ZXt5Xo/qgGraMajKyjNna5SExMjEXlq1aVa3cSEuDcOfletsZu3Tq5orsAY6mOmozROlpHZCR8/rk8/+9/oXz5e8rvEU887/M+SSTxOq/zKq+qvcFPP0FQkIyiPG2abRYHWojuj2rQOqrByDpqY5eL3Llzx6Lyjo5P5oxtRSuccOIqV7nClbTCnTvL+Cjh4TIdUAHGUh01GaN1tI4RI+D6dahdG775xjY6+uDDcY5TlrJMYYrayvfvl7nPAKZPh/Ll1dZvJbo/qkHrqAYj66iNnRX4+fnh6elJmzZtLLquWbNmFt/r8XV2RSlKU5oCj43aFSokw55AgZ+OtUZHzZNoHS0nJAQmTJDnkyaBm5t6HY9zHC/kjrzJTKY8Co1XdLScgk1OlrthX3lFXd05RPdHNWgd1WBkHbWxs4JBgwYRHBzMgQMHLLpuzZo1Ft/r8Z2xoNfZWaOj5km0jpYhBHz2mVyW9tJL8Pzz8n2VOiaQwHu8RyKJvMzL9KWvsroBGDZMBjKvVEk603yE7o9q0Dqqwcg66gDFOcDS4IHR0dEUsTCi+9q18OKL0KQJHD8u35vPfPrTn450ZBe70gpfvy4f2A4Ocko2n0yxqMYaHTVPonW0jOXLZaBwV1f5h1bt2vJ9lTp6480whlGKUgQTjAceSuoFYPduePpp6VDXrUvLM51P0P1RDVpHNeQHHXWAYgMwbtw4i69JvzM2MVGet6c9IHfNxROfVrhiRRlBXgi5Za+AYo2OmifROppPdHRaUpevv04zdaBOx9OcTg1EPJGJak1dbCx88IF8Nrz3Xr4zdaD7oyq0jmowso56xC4H2DqlGMilMO7u8j+WU6dkfm6BoCxluctdDnCA1rROu+CHH+Tq7tdekzEZNBpNjvn+e/DygmrV5Do71X/IJ5PMMzxDAAH0ohdrWas2Zt1338lgxB4ecsFuqVLq6tZoNDZBj9gZAGtSlGS0MzbTQMWQts5u06a04HcFDCOneslPaB3N4+xZGDVKno8f/6SpU6Hjb/xGAAEUoYj6QMSHD8scsCBDm+RTU6f7oxq0jmowso7a2OUiH3/8sVXXPb4zFrLYQNGmjYxNFRkJu3ZRELFWR40pWkfz+OILiI+Xm87/+c8nP8+pjje4wRCGADCCEdSgRo7qMyEhQU7BJiXBG2/Ayy+rq1sxuj+qQeuoBiPrqI1dLvLXX39ZdV1WO2P3ste0sKNj2vqZAro71lodNaZoHbNnzRp5ODvLTaQZxfHNqY5f8AX3uU9LWvIZn+WoricYNUqmDitdGiZPVlu3YnR/VIPWUQ1G1lEbu1zE0rh3KWQ0YvcUT+GAA+c5z01uml5QwMOeWKujxhStY9bExaVlmPjiC2jQIONyOdFxAxtYzGIccWQmM3HG2eq6niA4GH7+WZ5PnJjvd8nr/qgGraMajKyjNna5yPXr1626LmXE7tSptJ2xJShBQxoCsJ/9phf06AFOTvKC8+etbW6+xVodNaZoHbNm6lSZys/DQ26eyAxrdYwhhkEMAuA//IdWtLKqngxJToYPP5RzyM8/D//3f+rqthG6P6pB66gGI+uojV0ukpSUZNV11avLBdvx8aY+LdN1diVLQqdO8rwAjtpZq6PGFK1j5ty9KzeXg3x1d8+8rLU6jmQk5zlPZSrzMz9bVUemzJgBe/fKhk+fni9ywWaH7o9q0Dqqwcg6amOXi9SoUcOq6xwdoaEcnDMvAwUU6OlYa3XUmKJ1zBwvL7h3Dxo3lmHfssIaHc9yFl98ARjPeIpRzIpWZsL16/Dtt/Lc2xuqVlVXtw3R/VENWkc1GFlHbexykZ07d1p9bVY7YwMJJJFE0wtSjN327fDwodX3zY/kREdNGlrHjDl3DqZMkedjxshVDVlhqY4Cwb/5N3HE0Z3uvMZrVrY0Ez7/XO6Kb9MGPvlEbd02RPdHNWgd1WBkHbWxswI/Pz88PT0tXlz51ltvWX3PjHbGNqIRxSnOAx4QRJDpBQ0bQo0acgX41q1W3zc/khMdNWloHTPmu+9klJCePeWRHZbquIIVbGADhSjEFKaojVm3bh0sXSrd6MyZ2bvSfITuj2rQOqrByDpqY2cFgwYNIjg4mAMHDlh03dSpU62+Z0Yjdo44pqYX28Me0wscHArsdGxOdNSkoXV8kr17ZcIWR8e0mL7ZYYmOD3nI58ittkMZSj3qWdPMTCp/CJ9+Ks8//xyaN1dXdy6g+6MatI5qMLKOOqVYDsiNlGIpnD8v81O6usrnd8of4iMYwQ/8wFu8xSIWmV60fr3cEVelCly6ZIgF1BpNXiEEdOgA+/bJmL6zZ6u/x7d8y0hGUp3qBBNMERTmJvvmGxm3rlo1ObRfTOG6PY1Gk+volGIGICcpSmrUgMKF5cxq+p2xHegAZDBiB9C1q7zoyhU4ftzqe+c3jJzqJT+hdTTlzz+lqStSJG1HrDmYq2MIIYxlLACTmKTW1B0/DmNl3fj5GdLU6f6oBq2jGoysox6xywGWuunIyMgcjey1aiXTPq5YkZYZ6AEPKEEJkknmCleoTGXTi156SYbO/+UX+O9/rb53fiKnOmokWsc04uLkcofz52H4cPjxR/OvNUdHgaAb3fDHnxd5kdWszlmD05OcLIca9++HV1+VDtWA6P6oBq2jGvKDjnrEzgDMnTs3R9dntM6uGMVoRjMgk1G7ArjOLqc6aiRaxzRmzZKmrmJFGDLEsmvN0fFP/sQff9xwYxKTrGtkZsyYIU2du7vMMGFQdH9Ug9ZRDUbWURu7XOQf//hHjq7PaGcsQEc6ArCb3U9e9Pzz8nXfPrh9O0f3zy/kVEeNROsoefhQxq0D+OEHKFrUsuuz0zGGGIYyFICv+Zqa1LSmmRnzeMy6ypWzLp+P0f1RDVpHNRhZR23scpFTp07l6PqMRuwgbZ1dhsauWjVo1kxO16xfn6P75xdyqqNGonWUTJ4MN25ArVrw/vuWX5+djuMYRxhhVKEK3/CNla3MhC+/NGTMuozQ/VENWkc1GFlHbexykaKWDgU8RvqcsemznaSM2B3hCA/JIBhx797yddWqHN0/v5BTHTUSrSPcvw8jR8rzn36CQoUsryMrHa9xDR98AJlCTOmGCX9/+OMPGZtl+nRDxazLCN0f1aB1VIORddTGLhcpXbp0jq6vUQPc3CA2Fi5cSHu/KlWpTGWSSOIAGcTWSzF2GzbIVeIGJ6c6aiRaR5lZ4v59+UeTtfFIs9LxO77jIQ9pT3veQmHA04QEGDxYng8cCC1bqqs7j9D9UQ1aRzUYWUdt7HKR4zkMOeLklHHOWAccUkftMtxA0bIlVKoEDx7IFGMGJ6c6aiT2ruONGzBhgjz38rJ+wCszHQMJZD7zAZjIRLUZJiZPlmsyypZNWyBocOy9P6pC66gGI+uojV0u0qtXrxzXkbLO7vENFFmus3N0lGFPoEBMx6rQUaN19PGRGyfatIE+fayvJyMdBSI1w0Q/+tEGy9IPZsn16zImC4CvL5Qqpa7uPMTe+6MqtI5qMLKO2tjlInPmzMlxHdntjN3LXpJJfvLC9OvsDB66UIWOGvvW8dIlmDZNnnt75ywpS0Y6LmYxe9lLUYqmrrFTxtChEBUFbdvCe++prTsPsef+qBKtoxqMrKMOUGwFfn5++Pn5kZSURGhoaK6kFEthzRo5+NakiWkyiQQSKElJoonmJCfxxNP0wthYKFMGoqNllOMWLXKlvRpNfuTDD+HXX+GZZ2DrVrXZ9h7ykAY04ApX8MKLYQxTV3lAAHTpIhscGAitW6urW6PR5Ct0gOJcZNCgQQQHB3PgQAYbFbJARYqSxo3l66lTcv10Ci648BRPAZmss3Nzg5495bnBp2ONnOolP2GvOoaGQkrs0V9+ybmpe1zH0YzmCleoTnW+5MucVZ6exMS0DRP/+leBM3X22h9Vo3VUg5F11CN2OcBSNx0XF4erq2uO7pmcDCVKyH0QJ0+mrbkDGMYwvPFmAAP4jd+evHjuXDl107IlHDqUo3bkJSp01Nivjm+9JaOEvPSSmr9x0ut4mcvUpz4xxLCUpbzO6zm/QQoTJ8Lnn0Pp0tKdlimjru58gL32R9VoHdWQH3TUI3YGYG7+1RIAACAASURBVKKCdD+OjmmjdidOmH6W5c5YkOnFHBzkVOyVKzluS16hQkeNfep48iQsWSLPR4xQU2d6Hb/hG2KI4Wme5jVeU3MDgPBwmRYD5KLAAmbqwD77oy3QOqrByDpqY5eLvPrqq0rqSTF2QUGm77ejHQChhHKLW09eWK6cTBYOsFphEvJcRpWO9o496ujlJfcOvfqqTMiighQd97KXxSzGAQf14U2++UZmmGjVSi4QLIDYY3+0BVpHNRhZR23scpHAwEAl9WQ2Ylea0qmbJjIdtSsAWShU6Wjv2JuOp06ljdZ9/726egMDAxEIhjAEgPd4jxYo3Jy0ezfMl/Hw8PMzfIaJzLC3/mgrtI5qMLKO2tjlIhUrVlRST2bGDtLi2WVr7LZtkyETDIgqHe0de9MxZbTu5ZfVjdaB1PFv/mYPeyhMYUagaI4X5IaJQYPk+QcfyBAnBRR764+2QuuoBiPrqI1dLuKk6C/tJk3k67lzMnpJelLW2WUYqBigfn2oWxfi42HTJiXtyW1U6Wjv2JOOoaGweLE8VzlaByCcBd/yLQBf8RWVqKSu8hkz4NgxKFlSRlQuwNhTf7QlWkc1GFnHAmHshBAMHz6cSpUqUbhwYbp27crJxyP4PoaPjw9t2rTB3d2d8uXL8/LLL3P69GmbtjMsLExJPeXLy+VyQsisQulJGbE7yEHiyCAvrIOD4adjVelo79iTjt7eckf5iy+qT6s6z2UeoYRSjnJ8zdfqKr5zJ82FennJL30Bxp76oy3ROqrByDoWCGM3atQoxo0bx5QpUzhw4AAeHh50796dqCymGnfs2MGgQYPYt28fmzdvJjExkR49evDw4UObtbNTp07K6spsOrYudSlLWeKI4zCHM744xditXSunegyGSh3tGXvR8dw5WLhQnqdsLFVFFFGsab0GgOEMxx13dZUPHw737skv+8cfq6s3n2Iv/dHWaB3VYGQdDW/shBBMmDCBYcOG8corr9C4cWPmzZtHdHQ0ixYtyvS6DRs2MGDAABo1akSzZs347bffuHTpEodsGN/tjz/+UFZXZsbOAYfs19l16CBjYd25A3v3KmtTbqFSR3vGXnT09oakJOjVS+aFVcloRnPH6Q51qctHfKSu4pMn03KeTZgAzs7q6s6n2Et/tDVaRzUYWUfDG7sLFy4QHh5Ojx49Ut9zdXWlS5cu7NmTibHJgIiICABKly6tvI0pDBkyRFldKevsMtpAke06O2dnGdMODDkdq1JHe8YedLxwIW1DqerRumtcYyxjAfDFFxdc1FQsBHz5pXSjffpAt25q6s3n2EN/zA20jmowso6GN3bh4eEAVKhQweT9ChUqpH6WHUIIvvzySzp16kTjlKGwDIiLiyMyMtLksARfX1+LymdFZrHswHRnrCCTxCIGXmenUkd7xh509PGRqw169IB27dTWPZzhRBNN1ctV+Sf/VFfx2rVyY5OLC4wZo67efI499MfcQOuoBiPr6DR8+PDhed0IS/j999/p0KED3t7eeHt78+abbzJ37lyGDBmCu3va+pZVq1YRGRnJO++8k22dgwcPZteuXaxbty7LtB1eXl4899xz+Pr64uvry/jx4wHo27cv8+fPp3Xr1vj6+tK5c2e8vLyoU6cOS5cuJSkpiRMnTlCyZEmEECxevJiGDRsyevTo1LKNGzdmzpw5uLm5sX//fs6ePcuDBw9YtWoV1atXZ/z48allW7duzeLF09m2rS1RUdCs2Q7u3bvG1q1bKVOmDH9O/ZM9T+8hkkjeTnqbmSNnUq1aNVavXk1UVBTnz5/n4I0bNFi3Dodbt4h75RV8Z81Krb9evXosXryY5ORkgoKCCAoKIikpiSVLltCgQQPGjBmTWrZp06bMnj2bwoULs3fvXs6fP09kZCRr1qyhSpUqTJgwIbVsmzZtmDRpEuXKlWPLli3cvHmTa9eusX37dkqVKsWUKVPo1KkTv/zyC506dcLb25saNWqwcuVKHjx4wNmzZwkMDKR79+7MnTuXFi1aMHLkyNT669evnzr9fvToUU6ePElCQgLLli2jXr16Ju1u1qwZs2bNomjRouzevZuwsDDu3bvHunXrqFy5skm7n3rqKcaPH0/58uXZvHkzt2/f5sqVK+zYsYOSJUsybdq01D6Zck3NmjVZsWIF0dHRhIaGcvDgQZydnZk3bx7Nmzc3aXfDhg1ZuHAhjo6OHD58mFOnThEXF8eff/5JnTp1GDt2bGrZ5s2bM2PGDNzd3dm5cyeXLl3i3r17bNiwAQ8PDyZOnJhatm3btowbNw4PDw82btzInTt3uHz5Mjt37qR48eIEBwfTrl07k3bXqlWL5cuXExcXR0hICIcPH8bJyYkFCxbQpEkTRo0alVrW09OT+fPn4+zszMGDBzl9+jQxMTGsWLGCWrVqMW7cuNSyLVq0YNq0aRQvXpyAgACuXLnC7du32bRpExUqVDBpd/v27RkzZgyVKlVi3bp13L9/n7CwMHbt2kWxYsWYOXMmbdu2xcfHx+S7tmzZMuLj4wkODubo0aNcu+bCV1+VRAhHnnlmLr17N8fLy4tGjRoxb948XFxcOHDgAGfOnCE6Opq///6bGjVqmLS7ZcuW+Pn5UapUKfz9/bl27Rq3bt1ibuBcxjUYh3AQrCuxjvle8+nQoQOjRo2iSpUqrFmzhoiICC5cuMDevXspUqQIs2fPzvYZEXToELW+/BLniAjiBg/G98IFq58RkyZNokyZMmzbto3w8HDCw8NTnxGTJ09OLduxY0dGjhz5xDNi3759uLq6MmfOHFq1amXSbls8IwICApQ9I1xdXe32GfHZZ58pe0ZMnz69QD8jUjxFo0aNTP4/btSoERcuXMjRM2Lz5s2UK1eOSZMmpZa19BkxYsQIdu7cyXfffWdZejNhMCIjI8WZM2dSjxMnTghAHD582KRc7969Rb9+/bKtb/DgwaJKlSri/Pnz2ZaNjY0VERERqcfly5cFICIiIsxq+4gRI8wqZy7VqwsBQgQEPPlZO9FOIBDzxLzMK+jZU1YwapTSdtka1TraKwVdx08+kd372WfV1/2SeEkgEP8U/1Sr49ixstHlywth5nOloFDQ+2NuoXVUQ37QMSIiwiKPkYLhjN3jJCcnCw8PDzFy5MjU9+Li4kSJEiXE9OnTs7xu0KD/Z++8w6Mquj/+SYHQkoC0UKT3Ji0UQboUey8oioqKRF/8iSLgq6IgJvQWQcBIfWliABWQDhEpoUnvEAIBIZQUSAIk8/tj3IRIyt67s5t7N/fzPHlySWbOHL6Z3ZxMOSdIlC9fXhw7dkzX2FpFj46O1jVOdjz6qPwd8N13935vgBggEIh3xbvZGwgNlQbatlXql7NRrWN+xZ11vHBBCB8fOb03bFBrO0JECATCS3iJI+KIOh0vXRLC3186PX26Gpsmwp3noyuxdFSDEXTUG9iZ/oydh4cHH374ISNGjCA8PJwDBw7Qu3dvihQpQs+ePdPbde7cmcmTJ6f/OygoiLlz5/K///0PX1/f9K2KpKQkp/m6Zs0apfbsOWeX7QUKkEm9AP78Ey5nUVvWoKjWMb/izjpOmAApKfJcXfv26uwKBEMYAsBbvEVtaqvT8fPPIS4OGjeGN95QY9NEuPN8dCWWjmows46mD+wABg4cyIcffki/fv1o3rw558+fZ/Xq1ZnO3J08eZLY2Nj0f0+ZMoW4uDg6dOhAuXLl0j8W2opJOoG6desqtWdPabGDHOQ617M2UKmS/CWSlga//qrUN2eiWsf8irvqGBcH330nnwcNkjm5VfE7vxNBBD748DkyebASHfftg+nT5fOECW5bDzYn3HU+uhpLRzWYWUe3SI7k4eHB0KFDyekeyJkzZzL9W4hsbos6kZwSJuvh7pQnQmT+BRZAANWoxilOsY1tdKd71kaefhr27oXwcNOsEqjWMb/irjp+/z3Ex0PduvD44+rsppGWvloXRBAVqQgo0FEI+PBD+QfWc89Bu3aOumpK3HU+uhpLRzWYWUe3WLEzC9evZ7NyppPateUf9teuQUzMvd+35bPLNlExyMAOZHqFxESl/jkL1TrmV9xRx+Rk+OeyOgMHgqfCd7if+Zk97KEYxRjM4PSvO6zj0qWwYQP4+MCoUQ56aV7ccT7mBZaOajCzjlZg50Ia2pbYFFGoENSsKZ9z2o7N8ZxdgwZQvbo8kLRqlVL/nIVqHfMr7qjjnDlw8SJUrAh3HbF1mDvcSd96HcAASlEq/XsO6ZiSArZEqAMGQJUqDnhpbtxxPuYFlo5qMLOOVmDnQlauXKncpj0VKLaznTtkUxPWwyNj1S48XLl/zsAZOuZH3E3H1NSMBa+PPoKCBdXZnstcjnCE+7iPj/go0/cc0nHSJDh1CsqVg8GDc2/vxrjbfMwrLB3VYGYdPUReHDZzE+Lj4/H39ycuLi7HxMY2EhMTKVasmFIfvv4avvwSeveGH3/M/L1UUilJSeKII5JImtM8ayNbt8r6sX5+8nasyt+ITsAZOuZH3E3Hn36C55+HEiXg7FlQ9V9LIYXa1CaKKEYxio/JXGpIt45XrsjV8rg4CAszzRlXZ+Fu8zGvsHRUgxF01Bpj2FC2Ynf58mXWrl3LjBkzGDNmDCNGjGDixIksWbKEA1ktJ+VDxo8fr9xmTilPvPCiLW0BiCAieyMtW8oVg/h4WL9euY+qcYaO+RF30lEICAmRz++/ry6oA5jOdKKIojzlCSLonu/r1vHrr2VQ98AD8NprDnppftxpPuYllo5qMLOODq3YnTp1ih9++IHw8HCOHj2KEAIvLy/8/f3x8fHh6tWrpKSkAODv788jjzzCa6+9Rrdu3ZT9B/ISvdG0So4dk5coCheGhIR7sySEEMIgBvEUTxFODlut770HU6fCO+/Ia4UWFiZi3Tro0kW+DqKioHRpNXZvcIPqVOdv/mYqU3mXd9UYPn4c6tWThWzXrJHOW1hYWNyFS1fsLl++zOuvv07z5s05evQoffv2ZdeuXVy9epXbt28TGxvL+fPnSUpKIjExkZMnTxIaGoqvry/9+vXjgQceYNOmTXqGNjXDhw9XbrN6dXmJIikJTp++9/sP8RAAf/AHghxieNs5u2XL5GElA+MMHfMj7qSjbbWuTx91QR3ARCbyN39TjWq8yZtZttGl46BBMqjr0cMK6v7BneZjXmLpqAZT66i1xMWqVatE/fr1xfDhw8W1a9e0dhdpaWli4cKFomnTpuKTTz4RaWlpmm3kNZMnTxZ169YVtWrV0lTu4/Lly07xp2lTWYUoPPze76WIFFFIFBIIxCFxKHsjKSkZ5Yz++MMpfqrCWTrmN9xFx5075bT18hLi9Gl1dq+Kq6K4KC4QiLlibrbtNOu4ebN02NNTiAMHHPTSfXCX+ZjXWDqqwQg6uqSk2G+//cakSZOIiIjgs88+o3jx4poDSQ8PD1544QV27drFfffdx1tvvaXZRl4TFBTEoUOHiIyM1NTvp59+coo/OZ2zK0hBWtEKgM1szt5IwYIZJcYMfjvWWTrmN9xFR9tN2JdfVpstZDSjuc51GtCAl3gp23aadExLk2lNQC4v1q/voJfug7vMx7zG0lENZtZRU2B3+PBhli9fTokSJZQMPmjQIF566aV8c7miVatWTrGbU2kxyNiOzfECBcAzz8jP4eHyNLpBcZaO+Q130PHMGVi8WD5/8ok6u3/zN+ORh6eHMxwvsi/xpUnHRYsgMhKKFoWvvnLUTbfCHeajEbB0VIOZddQU2H388cd4qkzlDnTt2pUGtsjEzTl37pxT7OaUyw6gHbJEUa6BXbdu8sDeqVOydqVBcZaO+Q130HHSJLkI9vDD0KiROrvf8i03uUlLWvIET+TY1m4dk5Pl2TqATz+FgAAHvXQv3GE+GgFLRzWYWUcrQbELEU5aBbPFxceOyUT2/6YVrfDCi7OcJYqo7A0VLSqDOzD0dqyzdMxvmF3HuDiYPl0+f/RRzm21EEMMU5kKwDCG4YFHju3t1nHSJHllt3z5jO1Yi3TMPh+NgqWjGsyso5LATgjBxYsXOXToEFu3bmXPnj2cOXPG1MI4g/vvv98pditUAH9/ecnu6NF7v1+MYjSlKWDHqp0JqlA4S8f8htl1/OEHmeKnXr2Mv0dUEEwwKaTQhjZ0Ifcbq3bpGBsL33wjn7/5BooUcdBL98Ps89EoWDqqwcw6OhTYLVq0iK5du+Lr60uFChVo2LAhbdu2pXnz5lSvXp2iRYvSpUsXZs+ercpfU7N161an2PXwULgd+/jjMhnevn1yS9aAOEvH/IaZdbxzByZMkM8ffSRfAyo4z3mmMQ2Ar/gq19U6sFPHYcMykhH36uWom26JmeejkbB0VIOZddSVoDglJYVnn32WFStW4OPjQ82aNfH19cXX15cCBQqQmJhIQkICsbGxnD17Fg8PDzp27MjSpUvzvESHSrQmD7xy5QolS5Z0ii+2/MKDB8OIEfd+fxnLeIqnqEtdDnEoZ2OdO8sKFKNHG3LLyJk65ifMrOOiRfDiizJn3dmz8mioCt7nfUIJ5SEeYhOb7ArsctXRSkZsF2aej0bC0lENRtDRpQmKhw8fTkxMDMuWLSMhIYF9+/axZcsWVq1axS+//MKGDRvYuXMnZ86c4dq1a0ydOpUzZ84wZMgQPcO5DVOmTHGa7dxuxtpKix3mMJe5nLMxg2/HOlPH/IRZdRQCxoyRz0FB6oK6aKKZjjy0Z+9qHdih46efyqDukUesoC4HzDofjYaloxrMrKOuFbvAwEA2bNigafXt0qVLtG/fnsOHD2sdzrAYoaSYjU2boEMHmccrqwoUAA1owEEO8jM/8zRPZ2/s3Dm4/365vxUTY93eszAUW7ZA27bg4yNX68qUUWP3Pd5jKlNpT3s2slGN0YgIaNcOPD3l8QYrb52FhYWduHTFrlixYpq3VMuUKUNplbV+TIgzS5TYVuzOnJEHyrPC7nx2FStCixZyaWTpUnVOKsLUpV4MhFl1HDtWfn7tNXVBXRRR/MAPgFyt00K2OlrJiDVh1vloNCwd1WBmHXUFdlevXuXixYua+pw9e5a4uDg9w7kN/fv3d5rtkiWhXDn5fPBg1m1sgV2OFShs2JIVGzD7tjN1zE+YUceTJzNOCHz4oTq7IxjBbW7TkY60p72mvtnquHChTEZcrJiVjNgOzDgfjYiloxrMrKOuwO7555+nRYsWfPfdd8TExOTYNi4ujrCwMNq2bcsTT+Sc6NMshIaGUq9ePQIDAzX1++GHH5zkkcR2Mza73MK2wG4Pe0ggm2U9G88/Lz9v2ACXczmT52KcrWN+wYw6TpokF5J79JD3EVRwhjOEEQZoX62DbHRMSQHbmeKBA63jDHZgxvloRCwd1WBqHfUUpk1NTRV9+/YVHh4ewtPTU/j5+YmKFSuKunXriiZNmogmTZqIBx54QFSqVEl4enoKDw8P8eSTT4pbt27pGc6waC3Qe/DgQaf688knsrZ4UFD2baqIKgKB+F38nrvBpk2lwe+/V+ekApytY37BbDrGxwvh6yun5O92TF976SP6CASis+isq3+WOo4dKx0tV06IxEQHPcwfmG0+GhVLRzUYQUetMYYNXSt2np6eTJkyhYiICN544w3KlCnDxYsXOXLkCHv37mXv3r2cOHECPz8/BgwYwB9//MHSpUspUKCA2qjUZDj74oitpNJff2XfRtN2rG3VzlaM0yC40wWcvMRsOs6eLc+P1q6t7nLpaU4zk5mAvtU6yELH69fBdj7nq69kRReLXDHbfDQqlo5qMLOO3o50btOmDW3atAEgNTWV69evk5ycTPHixSlqvZndg6+vr1PtP/CA/Lxvn9yuyippazvaMYc5uV+gABnYDR4st2NjY6FUKbUO68TZOuYXzKRjWprchgX44AN5yVQFwxnOHe7Qla60oY0uG/foGBICV69CnTrwxhsKvMwfmGk+GhlLRzWYWUdltWK9vLwoWbIkFSpUsIK6bPD393eq/Tp1oGBBiI+Xt2OzwrZit53tpJBFYdm7qV4dmjSB1FRD5bRzto75BTPpuHatLJfn6ytvw6rgFKeYxSxA/2od/EvHc+dg/Hj5HBwM3g797ZyvMNN8NDKWjmows47KAjuL3DmY3XVVRRQokHGgPLsLFLWoRRnKkEIKO9mZu1EDbsc6W8f8gpl0tK3WvfGGDO5U8C3fkkoq3ehGK1rptpNJxy+/hORkaNMG3OSymKsw03w0MpaOajCzjlZg50K6d+/u9DFyO2fngYe+c3br18vtWAPgCh3zA2bR8eRJ+O03+fz++2psnuVs+mrd53zukK10HQ8ehJkz5fOoUeoK2OYTzDIfjY6loxrMrKMV2LmQsLAwp49hO2en7AJFjRrQuLHcjjVIsmJX6JgfMIuOoaEZKU5q1lRjM4SQ9Lx1es/W2UjXcdAgeRjwmWegdWsFXuYvzDIfjY6loxrMrKOukmIWEiOVFLOxbp28MVi9Opw4kXWbPeyhKU3xxZerXMU7tzs0I0bAZ59B167w++/qnbawyIbERKhQQZ4bXbFCBneOEkMM1ahGCimsZz0d6ei40c2boX178PKSK3e1aztu08LCIl/j0pJieli8eDEffPABAwYMYM6cOSRkV/fKjXFFiRLbit3Jk9mXFmtEI4pTnAQS2MOe3I3atmPXrYMrV9Q46gBmLvViJMyg45w5MqirWRO6dVNjcxSjSCGFNrShAx0ctjd82DCZhBjg7betoE4nZpiPZsDSUQ1m1tElK3Zz587l9ddfp2LFiuzbt4+dO3cyf/582rVrx2uqrrjlAVqj6du3b7skl1+FChATA3/+mf2O0JM8yXKWM5KRfMInuRtt3Fju786YAW+9pdZhjbhKR3fH6DoKIcurHj4MEybAf/7juM1LXKIKVUgiiVWsohuOR4t3FizA++WXZb66EyesKhM6Mfp8NAuWjmowgo6GXrErX748Hh4eVKlSBX9/fzp37syMGTPw8vJi7969rnDBEIy1VS93MvYkKratVGxko31GDXQ71lU6ujtG13HdOhnUFSsGvXursTmGMSSRRCCBdKWr4wZv3ybedqNjwAArqHMAo89Hs2DpqAYz6+iSwK5Tp05cuXKFDRs2ZPr6K6+8QuPGjV3hgiF43hYcORl7LlDYArsIIrjDndyN3r0de/WqYw46iKt0dHeMrqMtxUnv3qDiCOsVrvAd3wHyJqwHCm6tTpvGfVeuQJky8PHHjtvLxxh9PpoFS0c1mFlHhwO7GzducPHiRZKTk3Ns5+/vj6eqdPF5TGhoKPXq1SMwMFBTv61btzrJo8zYE9hpPmdXq5ZcCrxzJ89vx7pKR3fHyDqeOgW//CKfVaU4mcAEEkmkMY15jMccN5iQIEuGAXzxhboEe/kUI89HM2HpqAYz66gr0rpz5w5DhgyhatWq+Pn5pVebqFSpEi+++CILFiwgKSlJta+GISgoiEOHDhEZGamp3/333+8kjzJjC+z275fZF7LCCy/a0Q4w33asq3R0d4ys43ffyTN2XbuquYsQRxwTmQjAf/mvmtW60aPh8mWSKlSAd95x3F4+x8jz0UxYOqrBzDrqCux69uzJ5cuXCQoKYsiQIXTv3p2iRYty7tw5Fi9ezCuvvML999/Pl19+yY0bN1T7bJELtWqBj49MFXH6dPbtdJ+zW7s2z7djLdyXGzfghx/ks4oLEwCTmEQccdSnPk/ztOMGL16EMWMAOP3227Lsi4WFhYUB0BXYFStWjOnTp/Pxxx8zbNgwfvvtN2JjY6lXrx5fffUVrVq14vr16wwbNozatWuzZs0a1X6bkujoaJeM4+0tbxOC4nN2tWtDw4ZyO3bZMscd1YmrdHR3jKrjvHlw/brMxagib10CCYxjHACf8RmeKo4Wf/WVjEBbtGBP9eqO27Mw7Hw0G5aOajCzjrq3Yv9NwYIF8fPz4/PPP2fLli1ER0czcuRISpQowSOPPMLUqVMddtbstHZhNnqt5+x2s9s+wwbYjnWlju6MEXUUAmxvFe+9ByqO5U5hCle5Sk1q8gIvOG7w6FGYPl0+jxxJ6wcfdNymhSHnoxmxdFSDmXXU9bbZq1cv3nvvPW7fvp1tm3LlyvHxxx+zf/9+FixYwIgRI1i/fr1uR92BxS4MhuwJ7Lzwoj3tAR3bsWvW5Nl2rCt1dGeMqOOOHbBnjzxKoCLFyU1uMga5ZTqEIXjh5bjRIUNkib3HHoP27Q2poxmxdFSDpaMaTK2j0Mn48eNFrVq1xOzZs0VqaqoQQojWrVtn2z46Olr06NFD73CGJC4uTgAiLi7Orva3bt1yskcZbNggBAhRtWrO7caJcQKB6CE0/GwaNZLGp01zyEe9uFJHd8aIOvbuLafWa6+psWeb31VEFXFLKPj//vmndNDTU4j9+4UQxtTRjFg6qsHSUQ1G0FFrjGFD90ZH//79GT9+PAMHDqRKlSp88cUX3LhxA5FNIYuKFStSunRpvcO5BSEhIS4by5ak+PRpWZIpOzSfswPo2VN+/t//9DvoAK7U0Z0xmo5Xr8KCBfK5b1/H7SWTzEhGAjCYwRTAwQsOQsCnn8rn3r2hQQPAeDqaFUtHNVg6qsHMOjpcUiw+Pp6vv/6a77//nhs3blC0aFGaNWtG48aNKVeuHKVKlSI5OZkdO3aQnJzMwoULVfme5+gt9+Eq7r8fzp2DiAho2zbrNmmkUYpSXOMa29lOC1rkbjgqCqpUAQ8PiI6WNcwsLBxk/Hj4v/+Txwj27JHTyxGmMIV+9KMiFTnBCXzwcczgL7/AE09AoUJw/DhUrOiYPQsLC4scyLOSYn5+fowePZqYmBh+/PFHHnvsMY4fP86kSZMYPHgw77zzDiEhIQQEBBAWFubocKbG1UWF7Tln54mn9nx2lStDmzZyBSMPAnUzF2c2EkbS8e5LE337Oh7U3eEOoxgFwEAGOh7UpabCoEHyuX//n5E0ngAAIABJREFUTEGdkXQ0M5aOarB0VIOpdXTGvrAQQty+fVtcuHBBJCcnO2uIPEfr/vf58+ed7FFmhgyRx4HefjvndrrO2YWGSuPNmjnmpA5craO7YiQd16+X06lYMSHi4x23N1fMFQhEaVFa3BA3HDf4ww/SwRIlhLh6NdO3jKSjmbF0VIOloxqMoKPLz9jlhre3NwEBAfj4OPiXshuxatUql45nW7Hbty/ndrrO2T3/PHh5wa5dcOyYfid14God3RUj6WhbrXv1Vccrc6WRRjDBAPSnP0Uo4pjBpCRZMgzgs8+gRIlM3zaSjmbG0lENlo5qMLOOmgK7v//+2ymVJI4eParcphGpb8sa7CJsFyj275c7Sdm2oxElKEEiifbnsytdGh5+WD7Pn++YoxpxtY7uilF0vHgRfv5ZPqu4NLGCFRzgAL74EkSQ4wYnToTz56FSJQi6155RdDQ7lo5qsHRUg5l11BTYeXp68uabb3LhwgVlDsyZM4eJEycqs+cKQkNDqVevHoGBgZr6xcXFOcmjrKlZEwoXhps34eTJ7Nvdfc5uAxvsH+Du27GO3cHRhKt1dFeMomNYmCxm0rp1xiqzXgSCb/kWgL70pTjFHTN49Sp8K+0xbJi8OPEvjKKj2bF0VIOloxrMrKOmwK506dKEhITwwgsvEBYWRlp2FebtICoqirfeeov169ebLrALCgri0KFDREZGauqXkJDgJI+yxssrPSNDjhcoIGM7dj0akkg/9ZT8RXfsmLzG6CJcraO7YgQdU1Ph++/ls4rVuggi+JM/8cGH/+P/HDc4YgTExclSeq+8kmUTI+joDlg6qsHSUQ1m1lHzGbsqVaqwcuVKtm3bRp06dfj222/566+/ss1fdzfx8fGsWLGCXr16ERgYSMuWLfnxxx/x8lKQDd4E1K1b1+Vj2nvOrjOdAfmLMYUU+4z7+sLjj8tnF+a0ywsd3REj6LhqFZw9C/fdl1HUxBFsZ+t605tylHPMWFQUTJokn0NC5F9KWWAEHd0BS0c1WDqqwcw6euvpVKxYMaZNm8aePXsYNWoUw4YNw9vbm8DAQCpUqEDx4sXx9/fn1q1bXL16latXr3L69Gn2799P6dKleeuttzh06BClSpVS/f8xNKtXr6ZevXouHdOelCcADWhAGcpwiUtsY1t6qbFc6dlT1o1dsABGjlRT3DMX8kJHd8QIOtouTfTuLY8NOMJe9rKSlXjiySd84rBvfPEF3LoFHTpA9+7ZNjOCju6ApaMaLB3VYGYdHU5QDHLJcs2aNWzdupXDhw9z/vx5EhMT8fLyonjx4lSpUoVGjRrRrl072rRpg4ejSaoMgtbkgQkJCfg6euVPI5s3Q/v28tx3VFTObXvSk/nM57/8l2EMs2+AlBQoW1ZuV23cKAdzMnmhozuS1zpGRUHVqvJ45tGjUKuWY/Ze4iUWspCXeIn5OHihZ98+aNxYOrdjB+RwnjavdXQXLB3VYOmoBiPomGcJigF8fX155plnGDVqFL/++it79uzh+PHjHDlyhG3btrFgwQKGDBlC27Zt3Sao08OECRNcPqbtZuzZs3DtWs5tu9AFgHWss38AHx949ln57KLt2LzQ0R3Jax2nT5dxU+fOjgd1JzjBYmTR7kEMcty5QYOkc88/n2NQB3mvo7tg6agGS0c1mFlHJSt2+RWjlxSzUaWKXB3JbUEtiiiqUAUvvLjKVfyw8/+0bh106SIPSl24AAULqnDbwo25dUuuIv/9t9zJf+45x+y9y7tMYxqP8Ai/8ZtjxjZsgE6dwNsbDh2S18stLCwsXEyerthZ2EdelSix9wJFZSpTgxqkksomNtk/QIcOEBAgU0OsXq3bT3sxdakXA5GXOi5bJoO6gAB48knHbMUQw0xmAjCYwY4ZEwI+/VQ+v/OOXUGdNR/VYOmoBktHNZhZRyuwcyHvvfdenoxr247N7QIFZNyO1bQd6+UFL74on12wHZtXOrobeamj7dJEnz5QoIBjtsYxjlvcog1taEtbx4z99BNERkLRohnVJnLBmo9qsHRUg6WjGsyso1MDu9mzZ9OvXz9mzJiRng4lIiKCmjVrct999zFw4ECHcuHZEEIwdOhQypcvT+HChenQoQMHDx7Msc+UKVNo1KgRfn5++Pn50bp1a1auXOmwLzmxaNEip9rPDntvxkJGYLeWtdoGsSUrXrYMEhO19dVIXunobuSVjsePw/r18gL12287Zusa15iKjBIdXq27fRuGDJHPH38sLwXZgTUf1WDpqAZLRzWYWUenBXaTJ0/m7bffJjw8nHfffZdu3bpx/vx5XnzxRerVq0eXLl2YN2+ekuXOkSNHMnbsWCZPnkxkZCQBAQE8/PDDOSYYrFixIsHBwezcuZOdO3fSqVMnnnzyyVwDQkdo3bq102znhC2wO3BAZvjPiY50xAMPDnKQi1y0f5DAQKhRQ5a5CA/X76wd5JWO7kZe6fjDD/Jz9+7ynJ0jhBJKIok0pCGP8IhjxqZPhxMnoEwZGDDA7m7WfFSDpaMaLB3VYGYdnRbY7d69m0uXLnHhwgUSEhJ49NFH6d27N5GRkSxbtoxFixZx+vRpDh065NA4QgjGjx/PZ599xjPPPEODBg2YNWsWN2/e5H85bAs+/vjjPPLII9SqVYtatWrxzTffUKxYMbZt2+aQPzkRHR3tNNs5Ub263FlKTpZFInKiFKVoTGNA43ashwe89pp8nj1bp6f2kVc6uht5oePt2zBzpnzu08cxWze5yQTkzbVBDMIDB27cJyTAV1/J5y++kMm37cSaj2qwdFSDpaMazKyj3YHdL7/8QlJSkt2Ga9asib+/PwBFihShf//+dOrUiQoVKqS3KViwoMOFdk+fPs3Fixfp2rVr+td8fHxo3749f/75p102UlNTWbBgATdu3MgxSk9JSSE+Pj7ThxbyKtWLp2fGqp09lb90pT0BePVV+XndOjh3TltfDeTnlDkqyQsdf/lFXpooWxYee8wxWzOYQSyxVKMaL/CCY8bGjoVLl+Sq8zvvaOpqzUc1WDqqwdJRDWbW0Wvo0KFD7WlYunRp5s+fz19//UWVKlUonEua+I0bN1KgQAGWL19OixYtAJnvLiAgAJAreomJiZw6dYoHH3xQ93/g8OHDhIWF8cUXX2RKJrhhwwbOnz9Pr169su27f/9+qlevztChQ1m9ejWLFy/O0Zfhw4fTvXt3goODCQ4OZty4cQC8+OKLzJ49m+bNmxMcHEy7du0YPnw4NWrUYNGiRaSmpnLgwAEOHz5M8eLFmT9/PnXr1mXUqFHpbRs0aEBYWBiFChVi+/btnDhxgsTERJYvX07lypUZN25cetvmzZszceJESpYsyfr167l48SIXL15k3bp1lCxZkkmTJqW3bdOmDSEhIQjxAH/95UPBgucoVWo327Ztw8fHh7CwMJo1a5bJ73oN6rGk8BIupFyg/tr6HNh/gNTUVBYuXEidOnUYPXp0ettGjRoxY8YMChcuzNbDhyl98CBFLl1i+5kzFOjQgfHjx6e3DQwMZOLEiZQuXZq1a9dy6dIlYmJi2LhxIyVKlGDy5Mm0bduWb775hrZt2zJixAiqVKnCsmXLSExM5MSJE+zYsQMvLy9+++03mjRpQkhISLr92rVrp6/S7t27l4MHD3L79m0WL15MrVq1Mvn9wAMPMH36dIoWLcqWLVuIiori2rVrrFixggoVKmTyu0WLFowbN44yZcqwZs0aYmNjOXfuHJs2baJ48eJMmTKFBx98kBEjRqT3qVq1KuHh4dy8eZNjx46xc+dOvL29mTVrFo0bN87kd926dZk7dy6enp7s3r2bI0eOkJKSwk8//USNGjUYM2ZMetvGjRvz/fff4+vrS0REBGfPnuXatWusWrWKgIAAJkyYkN62ZcuWjB07loCAAH7//XeuXLlCdHQ0ERER+Pn5MXfuXB5++OFMflerVo0lS5aQkpLC4cOH2b17N15eXsyZM4eGDRsycuTIjHlSrx6zZ8/G29ubnTt3cvToUZKSkggPD6datWqMHTs2vW2TJk2YMmUKP/5Yn7NnfXjssVNUqXKM1atXU7Zs2Ux+t27dmtGjR1O+fHlWrFjB9evXiYqK4o8//kivetO0ZVMeS3yMlEIptF3Rlo5FO7J48WJu3brFoUOH2Lt3LwDz5s2jfv36mV5r9evXZ9asWRQoUIDIyEiiduygyqBBeN65Q3xICKN+/z29bdOmTQkNDaVEiRJs2LCBmJgYLl++zJo1ayhdujQTJ06kefPmzJgxgwcffJCRI0dSsWJFfv31V+Li4jh9+jRbt26lSJEizJgxI9f3iH379iGEyJP3iEqVKvHLL7+QkJDAqVOncnyPqFWrFvPnzyctLY39+/ezf/9++94jtm7l1KlTxMfH8+uvv1KxYsX019qECRPo1KmTkvcIHx8fZs6cmS/fI+rUqcPSpUuVvEdMnTqVVq1aufQ9ws/Pj82bN3Pu3DliY2N1v0e0bNmSb7/9NtNrTct7xKJFiyhZsiSRkZEcP36cmzdvsnTpUqpUqZLJb3veI2xttb5HDBs2jIiICAYPHoyPj4/9gZHQyJ07d8TixYvFZ599JlauXClSU1OzbHf27FnRokUL0bJlyyy/X6ZMGVGjRg2xceNGTePPnTtXFC1aNP1j48aNAhAxMTGZ2vXp00d069YtR1spKSni+PHjIjIyUgwaNEiUKlVKHDx4MNv2ycnJIi4uLv0jOjpaACIuLs4u36dMmWJXO2cQFiYECNGxY+5tE0WiKCAKCATimDimbaAZM+RAdesKkZamz9lcyEsd3QlX6xgVJYSHh5wex487ZmummCkQiLKirEgSSY4ZCwqSTgUG6pqz1nxUg6WjGiwd1WAEHePi4jTFGDY0JSieNWsWkZGR6StvRYsW5dy5cxw/fpzSpUvTrVs3evToYZetyMhIChQoQOPGje2PQpFlPv7+++/0f6ekpNCgQQN2795NkyZN0r/+5JNPUrx4cWbNmmW37S5dulC9enW+//57u9prTR4YGxubZ/Vx9+6FJk2geHGZbi63VeYOdGATm5jCFPrS1/6B4uJkcrLkZJk2onlzxxzPgrzU0Z1wtY5ffQVDh0LHjvJWrF7SSKMBDTjMYYIJ5lM+1W/s+HGoV0/eKlq/XjqnEWs+qsHSUQ2Wjmowgo5OT1D8wQcf8NtvvzFhwgS+/fZb+vfvT58+fRg6dCjz5s3j448/Jikpye5zeIGBgZqDOpDbuTVq1Ej/qFevHgEBAaxZsya9za1bt9i0aZPmLV4hBCkpKZp9speptuRdeUC9erIgxPXrcOZM7u11pz3x94enn5bPTrpEkZc6uhOu1DE1NeM2rKOXJpaxjMMcxh9/3sPBXFP//a8M6nr00BXUgTUfVWHpqAZLRzWYWkd7l/YKFy4sNm3apGk5cNasWeK9994T06dPF2n/bHFs3rxZ1KhRQ5QoUUJ88skn2W7laiE4OFj4+/uLn3/+Wezfv1+8/PLLoly5ciI+Pj69TadOncSkSZPS/z148GCxefNmcfr0abFv3z4xZMgQ4enpKVavXm33uHqXSfOKZs3kjtNPP+Xe9k/xp0Ag7hP3iTvijraBVq6UA5UqJURKij5nLdwK25QoUUKIJAd2TtNEmmghWggEYogY4phTO3ZIpzw8hPjrL8dsWVhYWChGb4xh94pd7dq1uXLlit0Boyvz2A0cOJAPP/yQfv360bx5c86fP8/q1aszXaY4efIksbGx6f/++++/6dWrF7Vr16Zz585s376dVatW8fDDDzvsT3bkdYkS20717t25tw0kEF98ucpV9rJX20Bdusjt2NhYWLVKu6O5kNc6uguu1HH6dPm5Vy8oVEi/nQ1sYAc7KEQh+tNfvyEhYODADKds5Vl0YM1HNVg6qsHSUQ2m1tHeCPCvv/4SXbp0EYmJiXa1f+ONN8T169eFEELcuHFDjB8/XnTp0kWcO3cuvU1KSop48cUXNUWiRkJrNJ2QkOBkj3Lmu+/kAkWPHva1f1w8LhCIEBGifbABA+RgzzyjvW8u5LWO7oKrdLx4UQhvbzkd9u93zFYX0UUgEEEiyDFDK1ZIhwoWFOLMGYdMWfNRDZaOarB0VIMRdHT6il2jRo2YNm0akyZNsqu9q/LYmYnptmWLPKJpU/l51y65YJEbuurG2rAlK/7lF7lyp5C81tFdcJWOs2bJY2ytWkGDBvrt7GQna1mLF158zMf6DaWmwqf/XLj44AOoXFm/Laz5qApLRzVYOqrBzDpqqjxRtWpVBg0aZFfbO3fu8OeffxIaGpr+tbtvzO7evZvjx49TpEgRLS6YGntvDDuLhg1lsuJLl+DChdzb2wK7CCJIQeOlkkaNZCR5+zbMnavD2+zJax3dBVfoKATMmCGfHb00EUwwAD3pSRWq6Dc0bx7s3y8v+thqwzqANR/VYOmoBktHNZhZR10lxVatWkViLoXee/fuzf/93/8xZ86c9K/dfQu2R48ePPLIIzR3QjoMo7J///48Hb9IEahbVz7bc86uPvUpS1mSSOJP7KvikQnbb/IZM+xbIrSTvNbRXXCFjps3y4wixYrBiy/qt3OEI/zMzwCOpTdJTobPP5fPgwfDfffpt/UP1nxUg6WjGiwd1WBmHXUFdjt37qRkyZI89NBDfP3112zduvWeNvfffz/bt2/Ptvbqr7/+yuLFi2nfvr0eF0xJ8eLF89qF9O1Ye0qLeeBBV2Sptt/5XftgL78sT8ofPAg7dmjvnw1G0NEdcIWOtt2Ml1+WwZ1eRjISgeAJnqA+DhzfCA2Fs2ehQgX4z3/027kLaz6qwdJRDZaOajCzjroCu0GDBhEYGEjp0qUpWLAg69atIyEhIf370dHRLF++nG3btpGWlpalDb157MyMr4bC4s5Cy81YgG50A2AVOm63Fi8Ozz0nn21JzBRgBB3dAWfrePUq/PSTfH77bf12oolmLnI7fzCDHXPIdtPt668hl7KI9mLNRzVYOqrB0lENZtZRV2AXHBxMnz59+Pnnnxk0aBD//e9/00UYNWoU1atX5+mnn6ZNmzZUrlyZJUuWKHXarBw+fDivXUhfsbM3sOtKVzzw4C/+4gJ2HMz7N2+9JT/Pnw+5bN/bixF0dAecreO8eZCSIo9bOnLiYixjuc1tOtCBVrTSb2j4cJmhu2FDeP11/Xb+hTUf1WDpqAZLRzWYWkc9V3A7ZlNwdO/evcLT01N4eHiInj17iqlTp4p+/foJHx8fMXHiRD1DGZLJkyeLunXrilq1amm6ihwdHe1kz3Ln+nWZ5QGEiI21r08z0UwgEDPFTO0DpqUJUaOGHDAsTHv/LDCCju6AM3VMSxOiYUP5Y78rL7hmLovLoogoIhCIVWKVfkMnTwpRoIB0aJUDdrLAmo9qsHRUg6WjGoygo9PTndxNgQIFsvz6kiVLEELw3HPPMW/ePN59911CQ0P5888/GTFiBHv3akx0a1CCgoI4dOgQkZGRmvrNnDnTOQ5pwN8fqleXz/acswPoTndA53ashwe8+aZ8VrQdawQd3QFn6hgZKS+eFioEr7yi384kJnGTmzShSfp5T10MHixvaHftCt266beTBdZ8VIOloxosHdVgah31RJHt2rXL8usdO3YUnp6eYuHChfd8Lzw83NTJiLPCbCXFbDz/vFy4CLEz73CEiBAIRElRUnt5MSGEOH9eCE9POejhw9r7W5iOPn3kj/vVV/XbSBAJooQoIRCIRWKRfkNbt1qlwywsLEyHS1fsGjduTHh4eKav3b59m+3btwPQoUOHe/o89dRTHDt2TM9wboNRSpRouRkL0JKW+OHHFa6wi13aByxfHh55RD4rWLUzio5mx1k63rgBCxbIZ0dy101jGte4Rk1q8gzP6DMiBHz8TzLj1193qHRYdljzUQ2WjmqwdFSDqXXUE0VGRUWJypUri/Xr16d/bcyYMcLDw0M0bNgw235NmjTRM5xh0RpN375928ke2ceqVXIBo1Yt+/s8I54RCMTX4mt9gy5dKgctU0aIW7f02fgHo+hodpyl46xZ8kddvbo8a6eHZJEsyovyAoGYLqbrd+bnn6UzhQsL4aQzM9Z8VIOloxosHdVgBB1dumJXqVIlJk6cyKOPPkrjxo0JDAzkk08+wcPDg6CgoOwCSG7duuVACGp+Ro8endcuABkpT44dg7uy1OSIQ2lPQK7YlS0ry178+qs+G/9gFB3NjrN0DAuTn3v3lkcs9TCXucQQQ3nK04te+ozcvp1ROuyjj6BiRX12csGaj2qwdFSDpaMazKyjrsAO4IknnmDLli1UqlSJkydPEhAQwIgRI3j33XezbL98+XLatGmj21F34KWXXsprFwAoUybjd9xff9nXxxbYbWMb17imfdACBTJSTNhqTOnEKDqaHWfoeOoUbNokAzq9GUVSSSWEEAAGMAAffPQZ+v57WfaidGkYOFCfDTuw5qMaLB3VYOmoBjPrqDuwA2jSpAnLly/n6tWrnD9/nk8/zVzqx1Z2bOfOnYwcOZIvvvjCkeFMzx9//JHXLqSjNVFxZSpTl7qkkcY61ukb1HY7dtUqOH9enw2MpaOZcYaOtotkDz8M99+vz8bP/MxxjlOCErzDO/qMxMXBV1/J56++Aj8/fXbswJqParB0VIOloxrMrKNDgV1OXL16lXfffZeqVavSokULLl26RFJSkrOGMwWVK1fOaxfS0ZqoGBRsx9auDQ89BGlpGRGADoyko5lRrWNqasaP9Y039NkQCL7lWwA+4AOKobMOWXAwxMbKOefIDQ47sOajGiwd1WDpqAYz6+i0wO6+++5j3rx5nD59mn379hEUFERISIizhjMFqampee1COrbAbpeGS662fHa/8zsCoW9gWyWKH36QAZ4OjKSjmVGt4/r1EB0tK8k99ZQ+G2tYwx72UIQi/AedtVzPnoXx4+VzSIg8BuBErPmoBktHNVg6qsHMOnq7YpAGDRrQoEEDVwxlaC5c0FGSy0nYSjwdOiTTUxQtmnufdrSjEIU4xzkOcUhfMfbnnoP+/eH0aVizRleyWCPpaGZU6/jjj/Jzz54yMbEebKt17/AOJSmpz8igQZCcDO3awRNP6LOhAWs+qsHSUQ2Wjmows45OW7GzuJcWLVrktQvplC8P5crJRTN7C4IUpjDtaQ/IVTtdFC2acar+u+90mTCSjmZGpY7XrsHPP8tnvduw29jGRjZSgAJ8xEf6jGzdKusSe3jAuHH6r+VqwJqParB0VIOloxrMrKMV2LmQJUuW5LULmQgMlJ+1VEZzqLyYjffek59//RWiojR3N5qOZkWljgsWQEoKNGgAzZrpsxFMMACv8ir3o+PmRVoa/N//yec33sg4b+BkrPmoBktHNVg6qsHUOjojqV5ISIioVKmSKFKkiOjevbs4cuRI+vemT58u+vXrJ15//XVnDO0SJk+eLOrWrStq1aqlKXlgcnKykz3Txtdfy9ytr7xif59D4pBAIHyEj7ghbugfvFMnOfiQIZq7Gk1Hs6JSx8BA+eMcO1Zf/wPigEAgPISHOCKO5N4hK+bOlU4UKyZETIw+Gzqw5qMaLB3VYOmoBiPo6NIExTkxZswYRo4cSYcOHejbty9JSUk0bdqU3377DYA+ffrw2GOPMWfOHNVDu4ygoCAOHTpEpJalLmDUqFFO8kgfelbs6lCHSlQihRQ2sEH/4P36yc8zZoDGxNVG09GsqNLxwAE5h7y94dVX9dmw5a17hmeoTW3tBm7cyEhGPGSIPGfgIqz5qAZLRzVYOqrB1DqqjjA7d+4sYv711/KOHTtE8+bNxdq1a4UQQqxatUp4enqqHtrl6I2mjcLly3KBA4S4ft3+fn1FX4FA9BP99A9+65YQ5cvLwefP12/HIs/56CP5Y3zqKX39T4vTwkt4CQQiUkTqMzJ0qHSicmUhkpL02bCwsLAwEIZZsWvevDnl/vXXcmBgIJs2bWL27NmsX79e9ZCmwWhFhUuVgipV5LOWfHaP8AgAv/Gb/rQnBQrAO/8kn9V4icJoOpoVFTrevg22xXdb/mmtjGEMqaTShS40p7l2A+fOybQmAKNG6b+SqxNrPqrB0lENlo5qMLOOygM7Ly8vkpOTOXLkCMuXL0//epEiRZg1axZbtmxh1SoHDt6bmDf1/uZzIra0J1q2YzvRCR98iCKKwxzWP/jbb4OXF0REwP79dnczoo5mRIWOv/0Gly/LMsA9emjvf4lLzECWmBvMYH1ODB4MSUnQtq1Mp+NirPmoBktHNVg6qsHMOioP7D744APef/99nn/+ed55595yQJ9//jmNGzemgJOThhqRlStX5rUL92A7Z7dzp/19ilKUjnQE5KqdbsqXh6efls9TptjdzYg6mhEVOtpy1/XqJc/YaWUCE0gmmRa0SJ9TmtixA+bOlc8uSm/yb6z5qAZLRzVYOqrBzDoqD+wCAgKYMWMG4eHh7NmzJ8s2r7/+Ovs1rNC4C40aNcprF+5Bz4odZN6OdQjbJYo5cyA+3q4uRtTRjDiq48WLcsUO9OWuiyOOyUwG5GqdBxqDMiHgww/l8+uvZ0xmF2PNRzVYOqrB0lENZtbRaXnsatSocc9Zu7upWbOms4Y2LFevXs1rF+7BlnPszBlZWtNeHuVRAP7gD65xTb8DHTpAnTqQmJhxWCsXjKijGXFUx7lzZX3Yli2hXj3t/acwhXjiqUc9nkBHhYiFC2VC4iJFYMQI7f0VYc1HNVg6qsHSUQ1m1tFKUOxCbty4kdcu3IO/P9SqJZ+1bMdWoxr1qU8qqaxghX4HPDwyVu0mTrSrfqwRdTQjjugoRMY2rJ7VupvcZCxjARjEIDy1vhUlJcHAgfJ58GC5rZ9HWPNRDZaOarB0VIOZdXRpYDdp0iRXDmc46tSpk9cuZImec3YAT/IkAMtY5pgDb7whI8xjx2BF7kGiUXU0G47oGBkp6wwXKgRx1IrIAAAgAElEQVQvvaS9fxhhXOYyVajCS+gwMGYMREfD/ffDgAHa+yvEmo9qsHRUg6WjGsyso0sDu+zO3OUX1q5dm9cuZInec3a27bOVrCSFFP0OFCuWkfpk7NhcmxtVR7PhiI621bpnn5UxuRZuc5tRyOSfAxlIATRepIqJgW+/lc8jR0Lhwtr6K8aaj2qwdFSDpaMazKyjhxBCZyIy7bz55puEhYW5ajinEx8fj7+/P3Fxcfj5+dnV3p52rmbLFpkponx5OH/e/n5ppFGRilzgAqtYRTe66XciOhqqVpWHtvbsgcaNs21qVB3Nhl4dk5JkYYe4OFi7Fjp31tZ/FrPoTW/KUpYznKEQGvPO9e4Ns2ZB69Zy8ubBTdi7seajGiwd1WDpqAYj6Kg1xrBhnbFzIRMnTsxrF7KkcWPw9JQLITEx9vfzxJPHeRxQsB17//3wwgvyedy4HJsaVUezoVfH8HAZ1FWuDB01ZihJI41gggH4iI+0B3WRkTKoAxg/Ps+DOrDmoyosHdVg6agGM+tordjpIDQ0lNDQUFJTUzl27JjmaNqINGokcwQvWwZPaLiguIIVPMqjVKAC0URrT1lxNzt3ygN/BQrIa7p5eCDeInsefliu1H35JQwdqq3vz/zMszxLcYoTRRR+aHjdpKVBq1YyuHvttYwAz8LCwsINsVbsXEhQUBCHDh0iUuOhNCOXKLGds9N6gaITnShKUc5znl3sctyJtm1lnarQ0GybGVlHM6FHx6goWLdOPr/+ura+AsEIZFqS93lfW1AH8MMPMqjz88soIWYArPmoBktHNVg6qsHMOlqBnQvpZ0vrYUBsN2O1XqAoRKH0s3XLWZ5Lazv46CP5eepUuHkzyyZG1tFM6NFx1iyZ6qRTJ3kkUgtrWcsudlGEIvSnv7bOV6/KtCYAX30FAQHa+jsRaz6qwdJRDZaOajCzjlZg50Lmz5+f1y5ky90rdlo355WlPQG5D1ytmvxFPnt2lk2MrKOZ0KpjWhrMnCmf9eSus63WvcM7lKKUts6ffQZXrkCDBvD++9oHdyLWfFSDpaMaLB3VYGYdXRrYufA4nyF56KGH8tqFbGnUSB5ti42Vx9u08CiP4oUX+9jHaU475oiXV0aZqHHjskxYbGQdzYRWHTdtgtOn5U7oM89oG2srW9nIRgpQgAFozDu3axd8/718Dg3VV5TWiVjzUQ2WjmqwdFSDmXV0aWDXrl07Vw5nOM5ojZhciI8PNGkin7dv19a3JCVpS1tA0XZsLgmLjayjmdCqoy133UsvySpeWvgWmXfuNV6jIhXt75iWBkFBchm5Z08w4HuINR/VYOmoBktHNZhZR5cGdm/o2b9xI7y8vPLahRxp2VJ+3rZNe1+l27F3JyzOIvWJ0XU0C1p0jI+Hn36Sz1pfxvvYxy/8ggceDGSgts4zZ8q/NIoVg1GjtPV1EdZ8VIOloxosHdVgZh2tM3YupFy5cnntQo60aiU/a12xg4wqFJvZzDWuOe7MBx/Ibdn162Hv3kzfMrqOZkGLjgsXysTEdepk/AFgL7a8dc/zPLWoZX/Ha9fg00/l89Chhk1/Y81HNVg6qsHSUQ1m1tEK7FyI1vQorsb2C3v3bkjRWCGsOtWpT31SSWUFudd7zZW7Exb/K7WF0XU0C1p0tG3DvvmmtpzAJznJQhYCMJjBWtyDzz+Xhz7r1YP//EdbXxdizUc1WDqqwdJRDWbW0QrsXMgzWk+cu5hq1aBUKbh1C/76S3t/pduxAIMGyc+LFsnzdv9gdB3Ngr06HjkCW7fKBdRevbSNMZKRpJFGD3rQmOzLxN3D3r0wZYp8njxZ3uwxKNZ8VIOloxosHdVgZh2twM6FfG+72WdQPDzUnLNbyUpS0LjklxWNGsHjj8sD9MHB6V82uo5mwV4dbat1PXpoSx8XQwwzmQnAEIbY39F2YSItDV58UXvdMhdjzUc1WDqqwdJRDWbW0aUlxdwNveU+jMzw4XIHrGdPmDdPW9800qhIRS5wgZWspDvdHXdo+3Z5+M/bG06ckAVKLVzGnTtyV/ziRfj5Z3j6afv7DmAAYxnLQzzEZjbb3/HHH+Web9GicrmwooZbtBYWFhZuglVSzASYoUSJIyt2nnjyOI8DitKe2Bzq0kVGGCNHAubQ0QzYo+Pvv8ugrlQpePRR+21f4hJTmQpoXK2LjYVPPpHPX35piqDOmo9qsHRUg6WjGsyso7Vip4PQ0FBCQ0NJTU3l2LFjdkfTN2/epIjWBGAuJi4OSpSQacMuXYLSpbX1X8EKHuVRylOeaKLxVPG3w8aNcjvOxwdOn+amv7/hdTQD9szHZ5+VK3Uffphl5plsGcQgQgghkEC2sx0P7Lxx0bu3rFvWqJEsg2Lgs3U2zPC6NgOWjmqwdFSDEXS0VuxcSFBQEIcOHdJ8a2aK7TC4gfH3lyktQF/ak050whdfYohhGzqW/bKifXto00Ze1R0zxhQ6moHcdIyNhV9+kc9vvmm/3VhimcxkAL7gC/uDug0bZFDn4SErTZggqANzvK7NgKWjGiwd1WBmHa3AzoU89thjee2CXTiSz64QhdIvUSxikRqHPDxkrVCAKVN4sk0bNXbzObnNx3nz4PZtaNYMGja03+54xnODGzShCY9i5/5tSgr07Suf+/bNmIQmwCyva6Nj6agGS0c1mFlHK7BzIX/pySGSBzhyzg7gBWT+ucUsJo17a73qont3aNoUbt7k1j9n7SwcI6f5KASEhclnLZUmrnGNiUwENK7WBQfLlDYBATBihP0DGgCzvK6NjqWjGiwd1WBmHa3AzoWULFkyr12wC9tiyY4dMuOEVrrSFT/8iCGGP/lTjVN3rdrV+v13uH5djd18TE7zcc8e2LdPHmt8+WX7bU5gAgkk0IhG6dVIcuXo0YxgbsIEKF7c/gENgFle10bH0lENlo5qMLOOVmDnQgoXLpzXLthF/fqyyHt8vMw2oRUffHiKpwCF27EATz0F9erhffOmtpP8FlmS03y05a576im47z777MURx3jGA/A5n9t3cSYtDd56S2bF7t4dnn/evsEMhFle10bH0lENlo5qMLOOVmDnQo7dVT3ByHh7Q2CgfNZzzg4ytmN/4idSSVXjmKenrBkKMHYsXL6sxm4+Jbv5mJyckcNQyzbsJCYRRxz1qMcz2Jm1PTQUtmyBYsVg6lRt9coMglle10bH0lENlo5qMLOOVmDnQjp37pzXLtiNo+fsHuZh/PHnAhfYwhZ1jj37LLcaNIDExEzVKCy0k918XL4crl2TKeS6dLHPVgIJjGUsoGG17vTpjLJxI0eaNvm0mV7XRsbSUQ2Wjmows45WYOdCZs2aldcu2E3r1vLznzqPyBWkIE8jyxQo3Y719OSnpk3lc2gonDunznY+I7v5aNuGff11WR/WHkIJ5RrXqE1tnseO7VQhoE8fuHlTprN59107vTYeZnpdGxlLRzVYOqrB1DoKNyAtLU18+eWXoly5cqJQoUKiffv24sCBA3b3HzFihABE//79NY0bFxcnABEXF6fVZcNz8aIQIISHhxDXrumzsUKsEAhEWVFW3BF31DmXlibEQw9JB99+W51dCxEdLYSnp5T2+HH7+iSIBFFKlBIIxBwxx75O06bJQQoXtn8gCwsLi3yE3hjDLVbsRo4cydixY5k8eTKRkZEEBATw8MMPk5CQkGvfyMhIpk2bRqNGjZzup5lKlJQtCzVqyIUVvduxnelMCUrwN38TQYQy34Z/803GLcqwMDh+XJnt/ERW83H2bHmfoV07+fO3h6lMJZZYalCDl3gp9w7R0TBggHz+5hv7BzIoZnpdGxlLRzVYOqrB1Do6KdB0GWlpaSIgIEAEBwenfy05OVn4+/uLqVOn5tg3ISFB1KxZU6xZs0a0b9/e6St2d+4oXLVyAa+9JhdVPv9cv403xZsCgXhPvKfMr3QdH3lEOvjSS8ps5yf+PR/T0oSoUUNK+uOP9tm4IW6IMqKMQCB+FHZ0SkvL+Lm1aiWEyV4TWWG217VRsXRUg6WjGoygY75dsTt9+jQXL16ka9eu6V/z8fGhffv2/JnLAbGgoCAeffRRuth5QjwlJYX4+PhMH1oYabLEurYCD1scuPtgux27hCXKbsem62j7i2rBAjBxMsm84t/zccsWOHECihaF556zz8Y0pnGJS1SlKq/wSu4d5s6FFSugYEG52mrvIT4DY7bXtVGxdFSDpaMazKyj19ChtvwR5uTw4cOEhYXxxRdf4Ovrm/71DRs2cP78eXr16pVlvwULFrBo0SIWLlyIt7c3M2fOJCAggO7du2c71vDhw+nevTvBwcEEBwcz7p9cai+++CKzZ8+mefPmBAcH065dO4YPH06NGjVYtGgRqampHDhwgJSUFIoUKcL8+fOpW7cuo0aNSm/boEEDwsLCKFSoENu3b+fEiRMkJiayfPlyKleuzLhx49LbNm/enIkTJ1KyZEnWr1/PxYsXuXjxIuvWraNkyZJMmjQpvW2bNm0ICQmhUqVK/PLLLyQkJHDq1Cm2bduGj48PYWFhNGvWLJPftWrVYv78+fj5+bBkSRkuXLjDY48dYvHihdSpU4fRo0ent23UqBEzZsygcOHCbN26lVOnThEfH8+vv/5KxYoVWTpxKfse2kcssbROac2yCcsoXbo0a9eu5dKlS8TExLBx40ZKlCjB5MmTadu2Ld988w1t27ZlxIgRVKlShWXLlpGYmMiJEyfYsWMHderUYcmSJTTp0YNjy5ZR5tIljm3YwJ3nn+d///sfAHv37uXgwYPcvn2bxYsXU6tWrUx+P/DAA0yfPp2iRYuyZcsWoqKiuHbtGitWrKBChQqMHz8+vW2LFi0YN24cZcqUYc2aNcTGxnLu3Dk2bdpE8eLFmTJlCg8++CAjRoxI71O1alXCw8O5efMmx44dY+fOnXh7ezNr1iwaN25MSEhIetu6desyd+5cPD092b17N0eOHCElJYWffvqJGjVqMGbMmPS2jRs35vvvv8fX15eIiAjOnj3LtWvXWLVqFQEBAUyYMCG9bcuWLRk7diwBAQH8/vvvXLlyhejoaCIiIvDz8+OPP/6gY8eO6X4//fReLlwIoGXLYzRufJzDhw+ze/duvLy8mDNnDg0bNmTkyJEZ/8d6VXlBvEBKwRRe/etVRKQgKSmJ8PBwqlWrxtixY9PbNmnShFkhITT+/HM8U1I4/tprnGjYkNWrV1O2bNlMfrdu3ZrRo0dTvnx5VqxYwfXr14mKiuKPP/6gWLFiTJs2jZYtW/Ltt99meq0tXryYW7ducejQIfbu3QvAvHnzqF+/fqbXWv369Zk1axYFChQgMjKS48ePc/PmTZYuXUqVKlUy+d20aVNCQ0MpUaIEGzZsICYmhsuXL7NmzRpKly7NxIkTefXVV5k8eTIPPvggI0eOpGLFivz666/ExcVx+vRptm7dSpEiRZgxY0au7xH79u1DCGGa94i0tDT279/P/v37SU1NZeFC7e8RttfasmXLeOihh5g4caLD7xE+Pj7MnDmTJk2aZHqt1a5d2+3fI5588kkWLFig5D1i6tSptGrVKpPf1apVY8mSJaSkpOT6HlGvXj1mz56Nt7c3O3fu5OjRozm+R0yZMgU/Pz82b97MuXPniI2NzbP3iB07duDn56fkPcLWVut7xLBhw4iIiGDw4MH4+PjYHxg5ZwHRecydO1cULVo0/WPjxo0CEDExMZna9enTR3Tr1i1LG2fPnhVlypQRe/fuTf+aPVuxycnJIi4uLv0jOjpa0zLp7Nmz7WpnFFJThfD3l7tmu3bpt9NH9BEIRF/RV4lfmXQ8elQILy/p5KZNSuznF+7WMT5eiKJFpYx//GFf/0likkAgKolKIkWk5Nw4LU2Ip5+WAzRtKsStWw54bizM9ro2KpaOarB0VIMRdMw3W7FPPPEEe/fuTf8oVaoUABcvXszU7tKlS5QtWzZLG7t27eLSpUs0a9YMb29vvL292bRpExMnTsTb25vU1Ky3DH18fPDz88v0oYWqVatqap/XeHpmpD1RtR17hzsO+5VJx1q1ZNoMgI8+0lcDLZ9yt46LF8ONG1LOBx/MvW8KKQQj8wgOZjAFKZhzh7lzITxcZr8OC4MCBRxx3VCY7XVtVCwd1WDpqAYz62i6wM7X15caNWqkf9SrV4+AgADWrFmT3ubWrVts2rSJB7P5DdW5c2f279+fKUBs3rw5r7zyCnv37sXLSed+7txxPKhxNbZzdnrz2QF0pCOlKc1lLrOWtQ77dI+OX30Fvr6waxfMmeOw/fzC3TqGhcnPb75pX/GHH/mR85ynAhV4g1zKU0RFwfvvy+ehQ+GBB/Q5bFDM+Lo2IpaOarB0VIOZdTRdYPdvPDw8+PDDDxkxYgTh4eEcOHCA3r17U6RIEXr27JnernPnzkyePBmQwWGDBg0yfRQtWpSSJUvSoEEDp/n671VFM2CLjR1ZsfPGOz0NxhwcD7zu0bFsWfjsM/k8ZIhcerLIFZuOR4/Kn6+XF7z2Wu79kklmBDLdzKd8ig85nP1ITZWZjuPj5fLvp5+qcN1QmPF1bUQsHdVg6agGM+to+sAOYODAgXz44Yf069eP5s2bc/78eVavXp3pMsXJkyeJjY3NQy+hWbNmeTq+Hlq0kL/wo6Plh15e5VUAwgkngdzzC+ZEljr27w9Vq0JMjCxPZZErNh1tlSZ69IBy5XLvN53pRBNNRSryNm/n3HjcONi0SV61nTNHbsW6GWZ8XRsRS0c1WDqqwcw6ukVg5+HhwdChQ7lw4QLJycls2rTpnpW3M2fOkNMF4I0bNzJ+/Hin+rl06VKn2ncGxYpl7Jw5sh0bSCC1qEUSSYQT7pBPWepYqFBGQDdqlGNRaD5h6dKl3LkDtso5b76Ze5+b3OQbvgHgv/yXQhTKvvG+fRkrqePHQ/XqDnpsTMz4ujYilo5qsHRUg5l19BBCiLx2wqzEx8fj7+9PXFycXRcpkpOTKVQoh1+EBuU//4FJk+TnCRP02xnGML7gC7rQhTWsyb1DNmSroxCy7mhEhEzEtnixfmfzAcnJyaxdW4jHH4fSpWXZ3YK53IEYzWg+4ROqUpUjHMn+0kRSErRsCfv3wxNPwNKl9h3eMyFmfV0bDUtHNVg6/n97dx4XVfX/cfw1gIAokAuC+76hZi64a5ap+U2/WWZZ3xK1xcrq57fFpE0tFUs0U1FTU7FcU0wzK3dQC7XUMi1zzS1U3ABREJzfH+fLKLkxzJm5c4fPswcPhpm7HN7dGT+ce+85erhDjvbWGLk8osfOLGJiYoxuQoHk3kCxcaNj28kdwHYNazjO8QJv56Y5WiyqAvXygkWL4PvvC7yPwiAmJsZ208RTT92+qEsjzXYn7BCG3PpO2IEDVVFXpgxMm+axRR2Y933tbiRHPSRHPcyco/TYOaCg1bTZHDsGFSqoeunsWXDkV21DGzaxidGM5nVe19fIa/33v+rUX40aqriQv15v6ORJKF8esrNVTLe7b2g4w3mXd6lFLXaxCx9ucr3c3Lnwn/+oYm7lSsjnzC5CCCGukh47EzDrpMLly0O1amqIOEeuswN4CjUTiCN3x942x2HD1F0A+/ap6+3EDUVGriI7W90gc7ui7ixniUH9BTuMYTcv6vbsgf791eN33y0URZ1Z39fuRnLUQ3LUw8w5SmHnQs/kDqRrQu3aqe+JiY5tpyc98cWXX//3X0HcNsegIBg7Vj0eORIOHCjQfjyZ1QoHDrQH8nfTxBjGcJ7z1Ke+bcDp61y8CI8+Cunp0L49vPeetva6MzO/r92J5KiH5KiHmXOUws6Fvv76a6ObUGB3362+JyQ4tp2SlKQrXQGYxawCbSNfOT72GNx7L1y6pAbHlSsO8ti6Ff78swj+/tCr162XPcUpxqHuGH+f9/G62cfGwIHqTtgyZdTpWCcN9O1uzPy+dieSox6Sox5mzlEKuwKIjY0lPDyciIgIu9a76667nNQi58vtsdu6FTIyHNtWP1QX0ed8ThZZdq+frxwtFoiNVXcEfPstzJlj9348We5NE488AsHBt172Iz7iAhdoTGO60/3GC82dC1OnqtznzMnfgHgewszva3ciOeohOeph5hylsCuAAQMGsHv3brZu3WrXeqdPn3ZSi5yvalV1rd3ly7B5s2Pb6kxnylKWFFL4Gvv/Ksp3jnXqXD0d+MorYOKRxHXKyIB589Tj252GPc5xJqJmbBnOcCzc4O7WPXvguefU40JyXd21zPy+dieSox6Sox5mzlEKOxe6ePGi0U0oMItF3+lYH3zoQx8AZjDD7vXtynHQIGjUSN3OmztfaSEXH69m+AoNTbf9P72Z93mfS1yiFa24n/uvX+DiRejZU03jVoiuq7uWmd/X7kRy1ENy1MPMOUph50I1a9Y0ugkO0XUDBWCbOP47vuMYx+xa164cixRR5x19fGDxYhm0GPjsM/W9Z88LeN3iE2APe5jOdABGMer63jqrVRXLuePVFaLr6q5l9ve1u5Ac9ZAc9TBzjlLYudC6deuMboJDcgu7H3+ELPsvjcujJjVpS1uucIXZzLZrXbtzvOsuiIpSjwcMAIPnDDbS/v2wfr3qgQ0JWXHLZd/mbXLIoRvdaEvb6xeYOFEVzV5ehe66umuZ/X3tLiRHPSRHPcycowxQ7AB7Bw88f/48wbe7Ut2NWa0QGgqnTqlZKHJnpCioOOLoQx9qUIM/+fPG12/dQIFyzMqCJk3gt9+ge3d1PtKDZ0O4mXffheHDoXNnWLDg5jkmkURLWuKFF7/wC/X5x0B3a9dCp06QkwMxMfDaay5ovXsy+/vaXUiOekiOerhDjjJAsQlMmDDB6CY4xGLRezr2ER6hOMXZxz4Syf8GC5Sjry/Mnq1OzX71FUyfbv82TC4nB2bNUo/79bt5jlasvMmbAEQSeX1Rd/Cguq4uJweefBJefdWJrXZ/Zn9fuwvJUQ/JUQ8z5yg9dg4oLFOKXWv8ePi//4P771ejiDiqP/2ZylR60Yt5zHN8g7cTEwNvvAEBAbBtG9Su7fx9uonvv1f/30qWhOPHwc/vxsutYAUP8AB++LGXvVSk4tUXU1OhTRt1XV3TpqrCL1rUNb+AEEIUItJjZwJmnqIkV+5dlBs3qjlGHfUCLwCwmMWc4ES+1nEox1dfhQ4d1JgfTzwBmZkF35bJ5I5d95//qKLuRjnmkMNgBgPwCq/kLeouX1YD3+3cCWFhqudTijqPeF+7A8lRD8lRDzPnKD12DrC3mj537hx33HGHC1rmPDk5ULo0nDunBitu2tTxbbakJUkkMYIRvMVbt13e4RyPHYM774QzZ9TNFBMnFnxbJpGSAuXKqdps+3Z1P8mNcpzNbCKJ5A7uYD/7KUlJ9YLVCk8/DTNnqt7OxER1zaLwiPe1O5Ac9ZAc9XCHHKXHzgS++OILo5vgMG9vdSYO9FxnB/AiLwLwKZ+SQ85tl3c4x/Ll1fV2oGanKASzUsyerYq6Jk1UUQfX53iJS7zLuwBEEXW1qAN1x8XMmeoO2IULpai7hie8r92B5KiH5KiHmXOUws6F7r7daLAmkXsDhaMDFefqSU9KUYrDHGYFtx6CAzTl+MAD8M476vFzz6m7ZT2U1QrTpqnHzz579fl/5hhLLIc5THnK8zIvX30hLu7qwMOTJqnshI2nvK+NJjnqITnqYeYcpbBzof379xvdBC3at1ffExPVqVlH+eNvmz92MpNvu7y2HIcOhY4d1fV2Dz+sbgzwQJs2wR9/qDOojz9+9flrczzFKT7gA0DNNlGU/1079/338Mwz6vHgwdC/v6uabRqe8r42muSoh+Soh5lzlMKuAGJjYwkPDyciIsKu9Xx9fZ3UItdq1AiCgtR1djt26Nlmf1TB8B3fcYADt1xWW47e3mq2hIoVYe9eNXSHjkrVzeT21vXqpf6/5bo2x2EM4zznuYu7iCRSPfnDD6rgzc5WFeGIES5stXl4yvvaaJKjHpKjHmbOUQq7AhgwYAC7d+9m69atdq0XGhrqpBa5lo/P1btj167Vs83qVOd+7seKlU/59JbLas2xdGk11ZifH3z9tZpb1oOcO3d1FrVrT8PC1Rx3s5spTAFgLGPxxhu2bIEuXVRvZpcuagC8W80/Voh5yvvaaJKjHpKjHmbOUT6pXejnn382ugna3Huv+q6rsIOrQ59MZzoZZNx0Oe05RkSo68gAxo6FqVP1bt9Ac+bAxYtQvz40b573tdwcX+d1csjhQR7kHu6BzZvVKerUVHVB5aJFaoBncUOe9L42kuSoh+Soh5lzlOFOHGDvrcgnTpww9V8B1/r1V2jYEIoVU6OG6Ph3P4ccalGLAxwglljb3bL/5LQcP/hA3STg7Q1Ll5r+JgGrVZ02/+UXGDdODSx9rRMnTrAjdAf3cz8++LCb3dTcfEZNFZZb1H3zDRQvbswvYBKe9L42kuSoh+SohzvkKMOdmMC03IudPED9+uos5oULajw7Hbzx5r/8F1CnBG829InTcnznHejdW11n98gjahRmE/v5Z1XU+fnBU09d//qU6VN4DTXH60u8RM2k01LUFYAnva+NJDnqITnqYeYcpcfOAYVxSrFrPfqoun7r/ffV5PI6XOAClajEGc6wiEX0oIeeDefX5cvqhoHlyyE4WI3p0rCha9ugSf/+6qzyE0/ceKi+SUxiAAMoSUn2JX1Bic69rhZ1K1ao7lghhBCGkB47EzDzFCU3knud3erV+rZZjGIMYAAAoxmNlev/7nBqjkWKqAF427aF8+dVD9bOnc7bn5Okp6sbfuH6myYATnKS1y6q3rr3f3uUEvf2kKKugDztfW0UyVEPyVEPM+coPXYOsLeavnjxIkU9aG7NffugZk1VC505o++s3QlOUJnKZJJJIom0pW2e112S4/nzcM89av6tkiXVeG465k9zkc8+U8PP1awJe/aAxZL39X70YyYzaZRSiYE7QaIAACAASURBVK3ljuJ9+Yq6pnDhQjXgncg3T3tfG0Vy1ENy1MMdcpQeOxOYNGmS0U3Qqnp1qFpVnb3UNQsFQCihtrHUYoi57nWX5BgcDGvWqFtJz5xR3ZMmuuYu9/KQZ565vqj7gR+YyUwAYrsdVkXdU0/BkiVS1BWAp72vjSI56iE56mHmHKWwc6F///vfRjdBK4tFjYoBsHKl3m2/yqtYsLCMZfzBH3lec1mOJUrAqlVq0L60NOjcWf3s5nbuVCOW+PhAZGTe17LJZkD28wD0+wxaJqEukoyLU12vwm6e9r42iuSoh+Soh5lzlMLOhbZt22Z0E7Tr1El9113v1KY2/0a9scYwJs9rLs0xMFBdc3b//Wqw3gceUIP1urEpaqxh/v1v+Ofd+lNOvs8On52UOAPDh/iqMerefff6bj2Rb574vjaC5KiH5KiHmXOUws6FQkJCjG6CdvfeqyYk+P13OHpU77bf4A0AZjObZJJtz7s8x4AA+OordRvw5cvQt6+aN9UNpx9LT4fPP1ePX3gh72sn4ifzjq+aD3ZkTAmOvDseerj4rmMP5InvayNIjnpIjnqYOUcp7FzIz8/P6CZoV6LE1XsKdPfataIVLWhBFllMZKLteUNy9PODefPUWHcAH36ouitPnHB9W25h7lx11rhmzat3LZOeDn37MijtRc7fAU3+KM6zr+zkcv36hrbVU3ji+9oIkqMekqMeZs5RCrsCiI2NJTw8nIiICLvW279/v5NaZCxnnY61YLH12sUSy3nOAwbm6OWlZqeYN08NB7J2rZraQfcFhgVktcLkyerx88//b2rX776DevXYsG8WsyPBYoVJNb7HO6y8xx6PriY56iE56iE56mHmHGW4EwfYeyvy4cOHqVSpkgta5lqJier+gtKlVQeWzrnic8ihAQ34nd8ZwhCGMtQ9cvz9dzU7xe7d6udnnoGYGHU3rUGSkqBlS/D3h2O/nqbk+wPhiy/I9obGvxVhZ53LPMuzTEXNhesWOXoAyVEPyVEPyVEPd8hRhjsxgc9zL37yMC1aqDHsUlLUFFY6eePNMIYB8DEfc5rT7pFj3bqwZQu88or6efp0Nc/awoWq68wAub11j9XbScmI6vDFF+Dlxbj4tuysc5mSlGQkI23Lu0WOHkBy1ENy1ENy1MPMOUqPnQPsraavXLmCl87uLDfSrZuahWvUKHjzTb3bvsIVGtOYX/iFwQxmxJUR7pVjYiL06we5XfctWqjeu9atXdaE08mXKV/RQma2D0k0pzlboGFD9sa9w50Nn+ISl/iMz+hHP9s6nnw8upLkqIfkqIfkqIc75Cg9diYwcuTI2y9kUrnX2TnjcjMvvHif9wEYz3je+uQt/TtxRLt2qqty2DB17V1SErRpo8a9W7PGuT14Z87A2LHMqjOKzGwfGrGNZhX+hrg4rvy8lWcbTuQSl7iP++hL3zyrevLx6EqSox6Sox6Sox5mzlF67BwgPXZX/fkn1K6txrg9fVoN/6aTFSvNac5WtjLQOpCPLR/r3YEuyckwZIg6NXvlinquVi3o3VvN7qDjmo2LF9WNG3PmQHw8VzKzqMMf7KUWnz78Pc/NuRv8/ZnCFF7gBQII4Dd+oypV82zGk49HV5Ic9ZAc9ZAc9XCHHKXHzgSio6ONboLT1Kypphi7fFl1UulmwcIHqDHYJuZM5BjH9O9Eh7Aw+PRTNZHuyy+rMfD+/FMNk1K5MjRpAm+/Dd9+C3//nb/evIwM+OEHGD8eHnxQ3aXStau6Ozczk7XVnmUvtQgMtPJEXGfw9+cIRxjEIACiib6uqAPPPh5dSXLUQ3LUQ3LUw8w5So+dA+Su2LxeeQUmTIBnn4WpU/Vv34qVdrRjIxt5gReYhAnm8ktLg8WL1ZRd69df/3pIiOrFK1NGPfb1hexsOHlS9f7lfuX2/uWqWFFNLdG3Lz1GNiY+3sKAATBxosqpK11ZwQpa0pINbMAb7+t27enHo6tIjnpIjnpIjnq4Q47SY2cC62/0D7sH+de/1PcVK5xzWdm1vXbTmc4BDujfiW6BgdCnD6xbp3ro4uLgySfVXbVeXnDqFPz8s+rBmz1bncKdNUuFuG0bHD+uirrQUNVLN2IE7NgBf/0FEydyLKwJS5eq6cByZ5qII44VrMAXXz7jsxsWdeD5x6OrSI56SI56SI56mDlHH6MbUJhUr17d6CY41d13Q9GicOyYmoj+zjv176M97Wl2thlbSmxhMINZyEL9O3GWsDB1rV3v3urnjAw1Ht7ff6seulOnVG+dl5fqwQsLUwVd+fLq8Q3mc50+Xc1s1rYt1KsHBznIK6ghWIYxjLrUvWlzPP14dBXJUQ/JUQ/JUQ8z5yiFnQtlZmYa3QSnKlpUTWP1zTeqw8kZhR3AM38+w9bmW/mSL9nEJlrjumFFtAoIUNfcFVB2Nkybph6/8IIazLk3vUkjjTa0sc3acTOefjy6iuSoh+Soh+Soh5lzlFOxLnTq1Cmjm+B0Dzygvq9Y4bx9BB0K4mmeBuAlXiKHHOftzI0tX656R0NC4OGHIYYYNrKR4hRnNrNvego2V2E4Hl1BctRDctRDctTDzDlKYedCjRs3NroJTteli/r+ww9w9qxz9tG4cWNGMII7uIMd7GAKU5yzIzc36X/3jjz9NPzut4N3eRdQY/3d6C7YfyoMx6MrSI56SI56SI56mDlHKewKIDY2lvDwcCIiIuxab9myZU5qkfuoUgXCw9V1X84YrBhUjmUoY5se623e5gQnnLMzN/X777Bqlboc76n+GTzO41zmMt3pTh/65GsbheF4dAXJUQ/JUQ/JUQ8z5yjDnTjA3luRL168SNGiRV3QMmMNGgSjR8MTT6gxdHXLzTGHHJrTnJ/5mUgimcUs/TtzUy+8AFOmwEMPQVB8H+KIoxzl2MEOQgjJ1zYKy/HobJKjHpKjHpKjHu6Qowx3YgJjxowxugku0b27+v7NN2rAYt1yc/TGm0lMwoKFOOLYyEb9O3NDZ8+qkVEAar3yHXHE4YUX85iX76IOCs/x6GySox6Sox5myTErK4uMjAy3/Zo2bZrL9pWVlaU1W+mxc0BBq2lPl5MD5cqpETxWrYL77nPu/p7jOaYxjQY04Cd+whdf5+7QYDEx8MYbUOvOSxzZUYqLlgw+4APe4R2jmyaEELeVlZXFrl27uPLPgdcLKS8vL+rVq4evb95/uwpaY8hwJy40fPhw3nnH8//x9faGbt3gs89g6VL9hd0/c4wmmnji2clOhjOc93lf7w7dSHa2ml0C4MwrQ7loyaADHYgiyu5tFZbj0dkkRz0kRz3MkGN2djZXrlyhSpUqhp/uNNrFixc5dOgQ2dnZ1xV2BSU9dg6wt5o+ceIEoaGhLmiZ8ZYvV8VdxYpqkoQbjK1bYDfK8Uu+5FEexRtvNrGJ5jTXt0M3Eh8PPXpAkVLnuXwkjKpFy7KFLZSmtN3bKkzHozNJjnpIjnqYIceMjAx+//136tatS0BAgNHNMVRuFuXKlSMoKIhixYrZXpNr7Exg6dKlRjfBZTp0UOPvHjkC27fr3faNcuxJT57gCdsgvRlk6N2pmxg/Xn2/3H8ixYp6s5SlBSrqoHAdj84kOeohOeohOZrT8uXLWbBgARcuXHB4W1LYuVATB2YZMJuiRaFzZ/VY9+fMzXKcyETKUY4/+ZPBDNa7UzewYwckJADe2fDCZL7gCxrQoMDbK0zHozNJjnpIjnpIjuZUpEgRUlNTtcx44RGFndVqZejQoZQrV46iRYvSvn17du3adct1hg4disViyfMVFhbm1HaeOFG4xlrLvTtWd2F3sxxLUIIZzABgAhNYzWq9OzbY2+P/93s/soj3K/SnO90d2l5hOx6dRXLUQ3LUQ3I0J13X14GHFHYfffQRY8eOZeLEiWzdupWwsDA6duxIWlraLderV68ef//9t+1r586dTm2n7lua3d0DD6gbKX75BQ4e1LfdW+XYmc68wAsAPMmT/M3f+nZsoG2njrBibjAA97zym5Y7YAvb8egskqMekqMekqMwfWFntVoZN24cb7/9Ng8//DD169cnLi6OjIwM5s6de8t1fXx8CAsLs32FhOR/DLCCqF69ulO3725KlYK2bdXjJUv0bfd2OY5mNPWpzwlO0IteZJOtb+cGOMlJOk1dBJn+FG26i2Uto7Dg+N0ohe14dBbJUQ/JUQ/JUZi+sDt48CDJycl06tTJ9pyfnx933303P/zwwy3X3bt3L+XKlaNq1ar06tWLAwcOOLWtCQkJTt2+O+rZU31fsEDfNm+XYzGKsYhFBBJIIom8yZv6du5i5zhHx8yunI59DIDo/wujuKXYbdbKn8J4PDqD5KiH5KiH5ChMX9glJycDXHd7d2hoqO21G2nevDmzZ8/m+++/Z9q0aSQnJ9OqVStOnz5903UyMzNJTU3N82WPJ5980q7lPUGPHmo+0y1b9J2OzU+Otaltu95uLGP5lE/17NyFMsigK135dW49+LscZcpl88KjpbRtvzAej84gOeohOeohOQrvoUOHDjW6EfaYM2cOrVq1YuTIkYwcOZJevXoxa9YsXn/9dQIDA23LLVu2jNTU1Jse5DVr1iQ8PJzQ0FCqVatGz549GT9+PMWLF6dly5Y3XGf48OHcf//9jBo1ilGjRvHxxx8D8NhjjzF79myaNm3KqFGjaNeuHcOHD6dGjRosXLiQnJwcfvvtN0aMGEF4eDjz5s2jbt26jB492rZs/fr1mTFjBv7+/mzevJl9+/aRnp7OsmXLqFy5Mh9//LFt2aZNmzJ+/HhKlSrF2rVrSU5OJjk5mTVr1lCqVCkmTJhgW7Z169Z8+OGHVKpUia+//pq0tDQOHDhAUlISfn5+zJgxgyZNmuRpd61atZg3bx5Xrlxh586d7Ny5k5ycHBYsWECdOnWIiYmxLXvnnXcyffp0ihYtyo8//siBAwdITU1l+fLlVKhQgWnTxgHtOHgQSpe+zNat4wgJCWH16tWcPHmS48ePs379ekqUKMHEiRNp06YNI0aMoE2bNowcOZIqVaqwdOlS0tPT2bdvH1u2bGHOnDns2rWLRo0a8eGHH9raUrt2bdvp9x07dmDdZaVkiZL8VPwnVlhXsH/+fh5q8BDDhw+nYcOGTJs2jWLFirFp0yb++usvzp49y4oVKyhfvjzjxo2zbbdZs2Z8/PHHlClThlWrVpGSksLRo0dJSEjgjjvuYPLkybZjMnedqlWrsmTJEjIyMvjzzz/56aef8PHxIS4ujrvuuitPu+vWrcsXX3yBl5cX27Zt448//iAtK40ul7qwLWg7lv/MhZQQ2rRay0MPlebTTz8lMDCQDRs2cPjwYc6ePct3331HWFgYn3zyiW27zZs3Z+zYsYSFhfH9999z+vRpjhw5woYNGwgKCqJ37948/vjjedpdrVo1Fi9eTGZmJr///jvbtm3D29ubzz//nAYNGvDRRx/Zlg0PD2f27Nn4+Pjw008/sWfPHi5evMiSJUuoVq0aY8eOtS3bqFEjJk+eTFBQEImJiRw9epSUlBRWrlxJaGhonna3bNmSmJgYypUrx4oVKzh37hx//fUXGzdupHjx4kydOpXmzZsTHR2d57325ZdfkpWVxe7du9mxY4ft86JevXp53mv16tUjLi6OIkWKsHXrVvbu3UtGRgZfffUVVapUydPuxo0bExsbS4kSJVi3bh3Hjx/n1KlTrFq1ipCQEMaPH8+WLVtITEykVatWfPTRR1SoUIHly5dz/vx5Dh48yI8//khAQADTp0+/7WfEr7/+itVqLVSfEbnvta5du9o+hx39jPDz82PWrFm3/YzYtWsXly9f5ssvv6RWrVp52u3unxGZmZksWrSIGjVqMGbMGNuyiYmJ/Pbbb1o+I6ZMmUKLFi20f0asXbuWMmXKEBISQpEiRXSVB6Z0+fJlUlJS+Ouvv9i2bRvt27e3HVsffPABGzZsICoqCj8/v3xv03QDFKelpeW56yczM5P69euzbds2GjVqZHv+wQcf5I477iAuLi7f2+7YsSM1atRg8uTJN3w9MzMzz63IqampVKxYUaYUu42pU6F/f2jUCLZtc+2+rVjpRz9mMYtiFCORRBrT2LWNsFM66XSnO2tYg+/XPcj69yKCgtSYgHKYCSHMzgwDFG/dupU5c+bQqFEjNm3aRFRUFFWrVnV42X/KzWLPnj2cPHmS3r17U7JkSaAQDVAcGBhIjRo1bF/h4eGEhYWxatUq2zJZWVkkJCTQqlWrfG8396+PsmXL3nQZPz8/goKC8nzZY/jw4XYt7ykefljdHbt9O+zd6/j27MnRgoVP+ZQOdOACF3iAB9jHPscb4SSnOc193Mca1lCMYtT6aDoAzz+vv6grrMejbpKjHpKjHpKj4zIzM+nZsydRUVFERkbSt29f+vbt6/CyrmK6wu6fLBYLAwcOZOTIkSxZsoTffvuNPn36EBAQwBNPPGFbrkOHDkzMnWQTeP3110lISODgwYNs3ryZRx55hNTUVCIjI53W1pdfftlp23ZnpUtfnS9Wx00U9uboiy+LWUwDGpBMMu1p75bF3TGO0Y52bGYzJSnJJz9u4beNd1CkCPzf/+nfX2E9HnWTHPWQHPUwZY5WK1y4kL8vF5xkTExMJCgoyHbtfrNmzUhKSrrhGIH2LOsqpi/sAAYNGsTAgQN58cUXadq0KceOHWPlypV5rrnbv38/KSkptp+PHj3K448/Tu3atXn44Yfx9fUlKSmJypUrO62ds2fPdtq23d1j6qZOLYVdQXIMJphVrKIudTnGMdrTnt/53fHGaLKNbbSiFbvZTTnKsYENfDM6HICnnoJy5fTvszAfjzpJjnpIjnqYMseMDChePH9fGXmni1y2bBn16tWjRYsWHDp06H+by+D7778H4MyZM0RFRTF48OCbfg0bNizPNg8dOmQ7HQrg7e1NYGDgDSc+sGdZV/ExbM8aWSwWhg4dyq3uA8n9H55r/vz5zm3UDdxzzz0u36e76N5dXWf322+wezeEhxd8WwXNMZRQ1rGOe7mX3eymNa1ZxjLa0KbgjdFgNrPpT38ucYma1GQlK8ncU4WvvlKvv/66c/ZbmI9HnSRHPSRHPQpTjhs2bCAhIYH58+eTnJzMsGHDmDlzJvHx8XTr1g2AkiVLEh0dbdd2U1JS8Pf3z/Ocv78/586dc2hZV/GIHjuz2KvjAjOTKlHi6tyxCxc6ti1HcgwllAQSaEELznKW+7iPaUzDiuvvIcokk5d5mUgiucQlHuABtrCFKlRhzBh1xqFbN6hb1zn7L8zHo06Sox6Sox6mzDEgANLT8/d1zc0WKSkpjBkzhgYNGtCxY0e6du3K4cOHyczMJDg4uMDNCQ4O5p/3laanp1O6dGmHlnUVj+ixM4uiRYsa3QRDPfooLF+uTscOGQKWAk6e4GiOpSnNGtbwH/7DV3zFczxHAglMYQrFKe7QtvNrM5vpS1/b6eAhDOE93sMLL5KTIfdsyqBBzmtDYT8edZEc9ZAc9TBljhYLFLN/4PWHHnooz8/Nmzdn5MiRREVF2Z47ffo0MTEx1xVf1ypatChDhgyx/VynTh2mTZtm+zkzM5O0tLQbXqplz7KuIoWdC5UqpW9wWTN68EHw84M//oAdO9TwJwWhI8cAAljMYmKI4S3eYg5z+ImfmMUsWtDC4e3fTAYZvMd7fMzHXOEKoYQynel0pattmQkTIDMTWraE1q2d1pRCfzzqIjnqITnqUZhzDAsLY9++fVSsWNH2XKlSpew+FduuXTtOnjzJ0aNHqVChAgkJCURERNiKtdWrVxMSEkLDhg1vu6wR5FSsC+UOmlpYBQWp4g5g5syCb0dXjl54MYhBrGc95SnPHvbQilb0pz9HOKJlH7kuc5lP+ZQa1GAMY7jCFZ7iKXaxK09Rd+YM5N68PWhQwXs186OwH4+6SI56SI56FOYc09LS6NGjh8PbyR0oesSIEcTFxTF//nzmzJljez02NpZvvvkmX8sawXQDFLsTewcPTE5OJiwszAUtc1/ffQddukDJknD8uOrBs5czckwhhdd5nTjUgNZFKMLTPE0UUVSiUoG3e57zzGIWE5jAfvYDUJnKxBLLAzxw3fLvvQcffAB33qnG/fNy4p9ecjzqITnqITnqYYYcnTVA8YIFC6hZsyaNG7v3IPTXkgGKTW769OlGN8FwHTtC+fKqZ+rrrwu2DWfkWJrSzGIWiSRyD/dwmctMYQrVqc6DPMh0pnOAA/m6yeIUp4gnnj70oTzlGchA9rOfEEL4hE/Yw54bFnVnzsAnn6jHQ4Y4t6gDOR51kRz1kBz1KMw5bty4kQYNGhjdDMNJj50DClpNF3ZvvQXR0fCvf8H/erPdTiKJDGMYa1mb5/lKVKINbahKVYIJJoAAznCGU5ziJCf5hV/4gz/yrFOPerzESzzJk7e8OcOVvXVCCGEUZ/XYvfnmm3z44YfatucK0mPnJmJjYwkPDyciIsKu9WSqF6VPH/X9u+/U6Vh7uSLHdrRjDWvYxS7e5V1a0xoffDjMYeYylxGMYBCDeImXeI/3mMAEFrDAVtTVpz4v8zIb2MBOdvI8z9+yqHN1bx3I8aiL5KiH5KhHYc5xxIgRRjfBLUiPnQPsraYvXbp03UCGhVWbNrBpk+q5GzzYvnWNyjGddDaxie1s5xjHSCWVC1ygBCUoQxlCCKE61WlNa0pS8vYbvIYRvXVyPOohOeohOephhhyd1WNnRtJjZ3ITJkwwugluI3eO5Jkz7Z/6z6gci1OcznRmMIOZwATiiGMRi5jGNEYwgoEMpBvd7C7qjOitAzkedZEc9ZAc9ZAchRR2LtS9e3ejm+A2Hn1UDSD+55/w44/2retpOY4bB6mpqrfOlb+ap+VoFMlRD8lRD8lRSGHnQj///LPRTXAbgYHQs6d6PGOGfet6Uo5G9daBZ+VoJMlRD8lRD8lRn/T0dHr06MHhw4dvudzWrVsZOHAgcXFxPPfccxw8eNBFLbwxKexcyN3HFnK1fv3U9/nz4fz5/K/nSTka1VsHnpWjkSRHPSRHPSRHPWbMmMHo0aOJj4/nypUrN10uMzOTnj17EhUVRWRkJH379qVv7rVGBpHCzoV8fGQGt2u1basmuL9wAT7/PP/reUqORvbWgefkaDTJUQ/JUQ8z5mjFyoV8/pefsUR16NevH8OGDbvtcomJiQQFBREaGgpAs2bNSEpK4sSJE85u4k2Z7wgwsYMHD9KmTRujm+E2LBZ48UV4+WWYNAkGDMjfFFqekuOoUcb11oHn5Gg0yVEPyVEPM+aYQcYth4O6VjrpFKOY7edly5YRFRVFYGAg8+fPp0qVKmRkZLBhwwY6d+7MmTNnGD16NLcaAKRo0aIMGTKkQG0/dOiQ7S5WAG9vbwIDA9m1a5et2HM1KexcqF27dkY3we307q2GO/n9d1i3Du699/breEKOhw5d7a2LjjZmMGJPyNEdSI56SI56FKYcN2zYQEJCAvPnzyc5OZlhw4Yxc+ZM4uPj6datGwAlS5YkOjraaW1ISUm5bngZf39/zp0757R93o6cinWhuXPnGt0EtxMUBJGR6vHYsflbxxNyfOstyMqCDh3U3LlG8IQc3YHkqIfkqIcZcwwggPR8/hfA1XHvUlJSGDNmDA0aNKBjx4507dqVw4cPk5mZSXBwsEvaHhwcfF1vYHp6OqVLl3bJ/m9EBih2gL2DB+bk5ODt7e2ClpnL3r1Qu7Yaz273bnXd3a2YPcctW6B5c3Xaeds2uOsuY9ph9hzdheSoh+SohxlydNYAxUePHmXkyJFERUVRsWJFAE6fPk1MTEyBT8VaLBYOHjxIlSpVbvj62rVree2119i+fTugbqYoVqwY+/fvp3LlyrdtszMGKJZTsS4UHR3NO++8Y3Qz3E7NmvDvf8PSpfDxxzB16q2XN3OOViu8/rp63Lu3cUUdmDtHdyI56iE56lGYcwwLC2Pfvn22og6gVKlS2k/Frl69mpCQEBo2bEi7du04efIkR48epUKFCiQkJBAREZGvos5ZpMfOAQWtpsX1Nm5Ud8n6+cHhw1CmjNEtco6vvoKHHgJ/f9VTWaGC0S0SQgjXclaP3dmzZ1m4cCH9+/d3eFvz5s0jMTGRKVOm8Nhjj9GuXTtefPFFAB566CEiIiJ46623AFXoLV68mBYtWpCQkMA777xDtWrV8rUfmVLMTcTGxhIeHk5ERIRd6xXmyZlvp3VraNYMMjPVHbK3YtYcL1+GQYPU49deM76oM2uO7kZy1ENy1KMw57hy5Uq7/12+mccff5zJkydjtVqZP3++ragDWLJkia2oA7jvvvuYPHkykZGRzJgxI99FnbNIYVcAAwYMYPfu3WzdutWu9SJz7xIQ17FYVLEDEBsLFy/efFmz5jh1quqlK1MG3nzT6NaYN0d3IznqITnqUZhz3LhxIw0aNDC6GYaTws6F1qxZY3QT3NrDD0OVKpCSAtOn33w5M+Z4+rQahBhg2DA1pZrRzJijO5Ic9ZAc9SjMOQYEBFCkSBGjm2E4KexcqFatWkY3wa35+FztyRo58ua9dmbMcfBgVdw1aADPPGN0axQz5uiOJEc9JEc9CnOOI0aMMLoJbkEKOxe6eKvziwJQ88dWrgzJyTB58o2XMVuOSUlXeyAnTVIFrDswW47uSnLUQ3LUozDnaMbp1JxBCjsXOn36tNFNcHu+vvDuu+rxqFFqHtl/MlOO2dnwwgvqcZ8+4E4z/ZgpR3cmOeohOeohOQop7FyoYcOGRjfBFHr3hmrV4NQpmDjx+tfNlOPEibBjB5QoAR99ZHRr8jJTju5MctRDctRDchRS2LnQ8uXLjW6CKRQpcvVGg48+gtTUvK+bJcf9+9XUYaB6H0NCjG3PP5klR3cnOeohOeohOeqxefNmxowZw9ChQ+ncuTMJCQk3XXbr1q0MHDiQuLg4nnvuOQ4ePOjCll5PBih2FB678AAAEy9JREFUgL2DB2ZkZGgdjNGTZWdDvXrw55/q1Oz77199zQw5XrkC990H69bBPffA6tXg5WZ/RpkhRzOQHPWQHPUwQ47OGqBYl4yMDD744APbjBWLFi2id+/e7N27l/Lly+dZNjMzk9q1a7N582ZCQ0P58ccfiYqKYv369fnelwxQbGJj8zvLvcDHB3JvcBo9Gv766+prZshx2jRV1AUEqBsn3K2oA3PkaAaSox6Sox5mzNFqVddT5+fLFV1R+/btY9SoUezbtw+Azp07c/HiRTZt2nTdsomJiQQFBREaGgpAs2bNSEpK4sSJE85v6E3ILSQuVFjn7yuoHj3g7rshIUHN2LBggXre3XM8eBDeeEM9jo5W1wu6I3fP0SwkRz0kRz3MmGNGBhQvnr9l09OhWLGrPy9btoyoqCgCAwOZP38+VapUISMjgw0bNtC5c2fOnDnD6NGjudXJyaJFizIk9/ofoEGDBmzatInq1asDcPjwYQBq1qx53bqHDh2y9bABeHt7ExgYyK5du2zFnqtJYedCw4cPN+WbzigWC4wbB02awMKFMGAAtGvn3jlmZ8NTT0FamroD9qWXjG7RzblzjmYiOeohOepRmHLcsGEDCQkJzJ8/n+TkZIYNG8bMmTOJj4+nW7duAJQsWdJ2SjW/LBYLrVq1sv08atQoBg4cSKNGja5bNiUlBX9//zzP+fv7c+7cuQL8RnpIYedCOiYmLmzuuguefRY+/RRefhl++sm9c4yOhk2bICgIPv/cPU/B5nLnHM1EctRDctTDjDkGBKieuPwumyslJYUxY8YAqpctNTWVw4cPk5mZSXBwsJa2zZgxg7CwMD66ybAGwcHB1/UGpqenU7p0aS37Lwgp7AogNjaW2NhYcnJy7FovPj7elG86o33wAXz5Jfz6K4wZAyVKuGeOiYlqujBQ891WqWJoc25Ljkc9JEc9JEc9zJijxZL39Gp+PfTQQ3l+bt68OSNHjiQqKsr23OnTp4mJibHrVGyuFStWkJOTw+jRo7l06RLJyclU+ccHe506dZg2bZrt58zMTNLS0qhcubL9v5AmUtgVwIABAxgwYIDtjpX8ioiIcGKrPFdICHz8MURGwtChMG+eG43y+z/Hj8Ojj0JODjz5JPznP0a36PbkeNRDctRDctSjMOcYFhbGvn37qFixou25UqVK2X0qFtRNEcePH6dbt24kJyeTlJREaGgoVapUYfXq1YSEhNCwYUPatWvHyZMnOXr0KBUqVCAhIYGIiAgp7AqLv//+2+gmmNZTT8EXX8CqVTB4cDm6dlXj3bmDrCzo2RNOnFBzwU6Zov4CdXdyPOohOeohOepRmHNMS0ujR48eDm/nwIEDdO3albS0tDzPnz9/HlBn7SIiImjYsCE+Pj7ExcUxYsQIWrRoQUJCAnPmzHG4DY6Qws6F7D11K66yWNSwIXfeCX/+WYLhw6+e9jTa66/DDz9AcDDExxfslIIR5HjUQ3LUQ3LUozDnuHLlSi09ltWqVSP1nyPjX2PJkiV5fr7vvvu47777AIiMjHR4/45y40u7Pc8/z80L+1SqpHrDAIYPV8OgGG3cOJgwQT3+/HOoUcPY9thDjkc9JEc9JEc9CnOOGzdupEGDBkY3w3BS2LnQhg0bjG6C6fXqBc2a/cGVK+qatmPHjGvLwoXw6qvqcXQ0/O/uetOQ41EPyVEPyVGPwpxjQEAARdzlGh0DSWHnQo8//rjRTfAIixeX4c474eRJNYhxRobr25CQoK77s1rVWHVvvun6NjhKjkc9JEc9JEc9CnOOI3KnKyrkpLBzoUmTJhndBI8wa9Yk4uPhjjtg82Z47DG4fNl1+09MhK5d1U0TPXqo07FmuFnin+R41ENy1ENy1KMw5+jjI7cNAFistxrcRdxSQSfoFXps2ACdOsGlS9C7N8yc6fwBgVetggcfhIsXoUMHWL4c/jHouBBCiFvInfi+bt26BFw74nAhlJvFnj17OHnyJL1797ZNUVbQGkN67Fxo+PDhRjfBI+Tm2LatGrjY2xtmz4YXX1TjyDnL/Pmqp+7iRfjXv+Drr81d1MnxqIfkqIfkqIfkKKTHzgH2VtOpqanSs6fBP3OcPRv69FHXuz3yiLo7VWfBlZ2trqEbO1b9/PDDMG8e+Prq24cR5HjUQ3LUQ3LUwww5So/dVdJjZ3KzZs0yugke4Z859u6tetOKFIFFi6B1azh4UM++jh6Fjh2vFnVRUepuWLMXdSDHoy6Sox6Sox6So5DCzoVyBzAUjrlRjo8+Ct99B6VKwbZt0KgRTJsGV64UbB8XLsCQIVCrFqxfD8WLw+LFMHKkOvXrCeR41ENy1ENy1ENyFFLYFUBsbCzh4eF2j3D9xx9/OKlFhcvNcrz3Xti+HVq0gPPn4bnnoFUrNRtEdnb+tn35MsyaBTVrwvvvq+vp2rSBLVvUKVhPIsejHpKjHpKjHpKjkMKuAAYMGMDu3bvZunWrXesVM8tcU27uVjlWrKjulh07Vk3ttXmzGpKkWjVVqG3cqHrjcq8stVohORlWrICnn4awMOjbF/7+G6pWVad2ExOhbl0X/XIuJMejHpKjHpKjHpKjkEFfXCj3gkjhmNvl6OMD//2vGt9u4kR1SvbIEXVqdcgQtYy3tzq9mpMD6el51w8JgTfegFdeAT8/J/0SbkCORz0kRz0kRz0kRyGFnQv9+uuvWiYoLuzym2O5cuqauPfegwUL1PAkGzfCiROqoDt/Xi3n5QVVqkCXLuqu2rZtPec6uluR41EPyVEPyVEPM+V48eJFo5tgOGdkIIWdC3Xp0sXoJngEe3P094fISPVltUJqqjodm9tTV7myZ/fM3Ywcj3pIjnpIjnqYIUcfHx+8vLw4dOiQ0U1xC1arlez8XgieD1LYudCMGTN45513jG6G6TmSo8UCwcHqq7CT41EPyVEPyVEPM+To6+tLvXr1yM7O5vz58yxfvpxixYrh50Z/YW/bto3GjRu7ZF85OTlc1jgvpgxQ7ACZUkwIIYQouDNnzjB79mx8fX3dqrBztczMTLKysrQMUCw9di40fPhwt/9LygwkRz0kRz0kRz0kRz3MlqOfnx9BQUGkpqaSlZVldHNsfvnlFxo2bOjSfQYFBWkpbqXHzgH2VtOZmZmF+i8SXSRHPSRHPSRHPSRHPcyY44ULF8jMzDS6GXlkZWXh6+Iphvz8/PIMVyM9dibwySefMGjQIKObYXqSox6Sox6Sox6Sox5mzLFYsWJuN/7eRx99ZLocc0lh54Dczs7U1NR8Ld+pU6d8LytuTnLUQ3LUQ3LUQ3LUQ3LUwx1yzN2/vSdWpbBzQFpaGgAVK1Y0uCVCCCGE8ERpaWkE2zGUg1xj54ArV65w/PhxAgMDsVgst1w2NTWVihUrcuTIkQLfQRsREWH3NGY613eHNkiOetZ3hxx1bMPo9SVHPetLjnrWlxz1bMNdcmzatClr166lXLlyeHnlfwZY6bFzgJeXFxUqVLBrnaCgoAIfKN7e3g4Nq+Lo+u7SBpAcPSFHHdswev1ckqPk6A7r5yrsOerahtE5+vj42F1jAOS/BBSGGzBggKHru0sbHOUOv4M7tMFRnpCD5Oge6+sgOerhCTnq2obR+y/oNuRUrIvIYMZ6SI56SI56SI56SI56SI56mD1H76FDhw41uhGFhbe3N+3bt8fHR86AO0Jy1ENy1ENy1ENy1ENy1MPMOUqPnRBCCCGEh5Br7IQQQgghPIQUdkIIIYQQHkIKOyGEEEIIDyGFnQtMmjSJqlWr4u/vT5MmTdiwYYPRTXJr9uQ1a9YsLBbLdV+XLl1yYYvNIzExkW7dulGuXDksFgtfffWV0U1yW/ZmtX79+hsei3/88YeLWmwu0dHRREREEBgYSJkyZejevTt79uwxulluqyB5yeejfSZPnsydd95pG7+uZcuWfPvtt0Y3y25S2DnZggULGDhwIG+//Tbbt2+nbdu2dOnShcOHDxvdNLdUkLyCgoL4+++/83z5+/u7sNXmceHCBRo2bMjEiRONborbK2hWe/bsyXMs1qxZ00ktNLeEhAQGDBhAUlISq1atIjs7m06dOnHhwgWjm+aWCpqXfD7mX4UKFRg1ahQ//fQTP/30E/feey8PPvggu3btMrpp9rEKp2rWrJn1+eefz/NcnTp1rIMHDzaoRe7N3rxmzpxpDQ4OdkXTPA5gXbJkidHNMIX8ZLVu3TorYD179qyLWuVZTp48aQWsCQkJRjfFFPKTl3w+Oq5EiRLW6dOnG90Mu0iPnRNlZWXx888/06lTpzzPd+rUiR9++MGgVrmvguaVnp5O5cqVqVChAl27dmX79u3ObqoQN9WoUSPKli1Lhw4dWLdundHNMY3z588DULJkSYNbYg75zUs+HwsmJyeH+fPnc+HCBVq2bGl0c+wihZ0TpaSkkJOTQ2hoaJ7nQ0NDSU5ONqhV7qsgedWpU4dZs2axbNky5s2bh7+/P61bt2bv3r2uaLIQNmXLlmXq1KksXryY+Ph4ateuTYcOHUhMTDS6aW7ParXy6quv0qZNG+rXr290c9xefvOSz0f77dy5k+LFi+Pn58fzzz/PkiVLCA8PN7pZdjHfkMomZLFY8vxstVqve05cZU9eLVq0oEWLFrafW7duTePGjZkwYQLjx493ajuFuFbt2rWpXbu27eeWLVty5MgRYmJiaNeunYEtc38vvfQSv/76Kxs3bjS6KaaQ37zk89F+tWvXZseOHZw7d47FixcTGRlJQkKCqYo76bFzotKlS+Pt7X1db9PJkyev65USevLy8vIiIiJC/iIVbqFFixZyLN7Gyy+/zLJly1i3bh0VKlQwujluz5G85PPx9nx9falRowZNmzYlOjqahg0b8sknnxjdLLtIYedEvr6+NGnShFWrVuV5ftWqVbRq1cqgVrkvHXlZrVZ27NhB2bJlndFEIeyyfft2ORZvwmq18tJLLxEfH8/atWupWrWq0U1yazryks9H+1mtVjIzM41uhl3kVKyTvfrqqzz11FM0bdqUli1bMnXqVA4fPszzzz9vdNPc0u3y6t27N+XLlyc6OhqAYcOG0aJFC2rWrElqairjx49nx44dxMbGGvlruK309HT27dtn+/ngwYPs2LGDkiVLUqlSJQNb5n5ul1VUVBTHjh1j9uzZAIwbN44qVapQr149srKy+OKLL1i8eDGLFy826ldwawMGDGDu3LksXbqUwMBAW099cHAwRYsWNbh17ic/ecnno2PeeustunTpQsWKFUlLS2P+/PmsX7+e7777zuim2cew+3ELkdjYWGvlypWtvr6+1saNG8vt/Ldxq7zuvvtua2RkpO3ngQMHWitVqmT19fW1hoSEWDt16mT94YcfDGi1OeQOyfHPr2szFcrtsoqMjLTefffdtuU//PBDa/Xq1a3+/v7WEiVKWNu0aWP95ptvjGm8CdwoW8A6c+ZMo5vmlvKTl3w+OqZfv362f3tCQkKsHTp0sK5cudLoZtnNYrVara4sJIUQQgghhHPINXZCCCGEEB5CCjshhBBCCA8hhZ0QQgghhIeQwk4IIYQQwkNIYSeEEEII4SGksBNCCCGE8BBS2AkhhBBCeAgp7IQQQgghPIQUdkIIIYQQHkIKOyGEEEIIDyGFnRBCCCGEh/AxugFCCFFYrFy5ks8//xwfHx/S09OZM2cOvr6+RjdLCOFBLFar1Wp0I4QQwtN98skn7N69mylTpmCxWHjmmWcICQkhOjra6KYJITyInIoVQggn+/bbb5k4cSLjx4/HYrEAULt2bebOnWtwy4QQnkYKOyGEcKLz58/Tt29f3n77bfz8/PI8f/jwYdLS0gxsnRDC00hhJ4QQTvTBBx/g4+PDk08+mef57du3A0hhJ4TQSgo7IYRwktTUVKZMmUKfPn3w8bl6r1pWVhaJiYkA3HHHHUY1TwjhgeSuWCGEcJL4+HguXLjA0qVLWb16te35tLQ00tPTKV++PAEBAQa2UAjhaaTHTgghnOT7778nICCA7du3k5SUZPt67LHHAGjZsqXBLRRCeBop7IQQwkkSEhJo0qRJntOwoAo+gO7duxvRLCGEB5PCTgghnODy5cskJydz11135Xn++PHjJCUlUaJECSnshBDaSWEnhBBOkJKSgtVqpWzZsnmenzt3LleuXOHFF1+kWLFiBrVOCOGppLATQggnKFGiBBaLhdKlS9ues1qtxMXFUbZsWd58800DWyeE8FRyV6wQQjiBv78/5cuX59KlS7bn4uPj2b17N9988w2BgYEGtk4I4amkx04IIZykV69ebNmyBYCjR48ycOBAxo8fz/33329wy4QQnspitVqtRjdCCCE8UXp6On379qVo0aKcPHmS1157jY4dOxrdLCGEB5PCTgghhBDCQ8ipWCGEEEIIDyGFnRBCCCGEh5DCTgghhBDCQ0hhJ4QQQgjhIaSwE0IIIYTwEFLYCSGEEEJ4CCnshBBCCCE8hBR2QgghhBAeQgo7IYQQQggPIYWdEEIIIYSHkMJOCCGEEMJDSGEnhBBCCOEhpLATQgghhPAQUtgJIYQQQniI/wcZcJ7wBd2FlwAAAABJRU5ErkJggg==\n",
"text/plain": [
"Graphics object consisting of 3 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"s, l = -2, 3\n",
"for m in [1..3]:\n",
" g = Graphics() \n",
" for gam in [0, 1, 2]:\n",
" g += plot(spin_weighted_spheroidal_harmonic(s, l, m, gam, theta, 0), \n",
" (theta, 0, pi), color=hue(gam/3), thickness=1.5,\n",
" legend_label=r\"$\\gamma = {:.1f}$\".format(float(gam)), \n",
" axes_labels=[r\"$\\theta$\", \n",
" r\"${{}}_{{{}}}S_{{{}{}}}^\\gamma(\\theta,0)$\".format(s,l,m)],\n",
" gridlines=True, frame=True, axes=False)\n",
" show(g)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some 3D polar plot of ${}_{-2} S_{2,2}^\\gamma$ with $\\gamma=0.3$ (real part in turquoise, imaginary part in gold):"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
"Graphics3d Object"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gam = 0.3\n",
"Slm = lambda th, ph: spin_weighted_spheroidal_harmonic(-2, 2, 2, gam, th, ph)\n",
"re = lambda th, ph: Slm(th, ph).real_part()\n",
"im = lambda th, ph: Slm(th, ph).imag_part()\n",
"th, ph = var('th ph')\n",
"graph = parametric_plot3d([re(th, ph)*sin(th)*cos(ph), \n",
" re(th, ph)*sin(th)*sin(ph),\n",
" re(th, ph)*cos(th)], \n",
" (th, 0, pi), (ph, 0, 2*pi), plot_points=20, color='turquoise')\n",
"graph += parametric_plot3d([im(th, ph)*sin(th)*cos(ph), \n",
" im(th, ph)*sin(th)*sin(ph),\n",
" im(th, ph)*cos(th)], \n",
" (th, 0, pi), (ph, 0, 2*pi), plot_points=20, color='gold')\n",
"show(graph, viewer='threejs')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Amplitude factor $Z_{\\ell m}^\\infty(r_0)$ for gravitational radiation from circular equatorial orbits\n",
"\n",
"The factor $Z_{\\ell m}^\\infty(r_0)$ is obtained by spline interpolation of tabulated numerical solutions of the radial component of the Teukolsky equation. It is returned by the function\n",
"`Zinf`:"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"from kerrgeodesic_gw import Zinf"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"-0.04302234478778856 + 0.28535368610053824*I"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a = 0.98\n",
"l, m = 2, 2\n",
"r0 = 1.7\n",
"Zinf(a, l, m, r0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot as a function of the orbital radius:"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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HTowHb3fIytGwfXdlEr8ez3sHvqRBnhspaPHnIT01b7GJz8mkKtk14OZiiLih4bbPHXJXzAEPD+jYETZuLJXcS3/3w9iUti2GGk9JXSW05GrI6WdKx5NaUEtMS+yHJEFGxtO9irj55OfnR9u2bbl79y5VqlQpkSnR0dH4+voSHR0NwCuvvEJWVhbHjh0rka5cRFkSoHfv3hw8eJDOnTuzbds2Y5vzn+fUqVPUrl27wGcta8HhT+GHc/DFdrhyR8OazdXxOPAVn/a+xu4mG4jUxDOfh6ymLz6UpzeboOJV4qdDwgRznJfnUWnBQSzfPggffwxvvw0jR+omT6Xkh7EobVsMNZ6SukpoydWQ08+Ujie1oJaYltiPzEwoV+7p2qanw98yfGu1WhYvXsz58+cJDQ1l8ODB+p8lJSUxb948/m1Xj42NDZMnT9a/b9SoEceOHdP7c+PGDQDq1KlTHI8UQ0ySgFGjRjFs2DDWr19vbFME8Ni/RDQa6NUEejSCVUdgSohusuQXWBtv90nMeuMS39b6jgvE40cCa3mV0VTmVb4l3/Ycd8bB3THmOG2xpvKXyVgtXgyLF0P37jBmjO7JOAXzLpX0LyolKW1bDDWekrpKaMnVkNPPlI4ntaCWmBrTj927d9OoUSNSUlLw9PRE87draIUKFZg9e3ax9DQaDW3atNG/9/X1ZcyYMXh5eSlmc3EQt9uAjh07YmdnZ2wzBH9ibm7+rz8vYw7/6wDR0+HLbmBdBo5Ga5jo60mTtZMITP6IelTmPhlM4g960pVfWYY1LyKZ55E4KIMLf5hxPawaD+sAoaHw8svQqBGsWgVZWaXiR2lS2rYYajwldZXQkqshp58pHU9qQS0xLbEftra6FaKnef1jo/eBAwdo3rw5MTExilehCAoKonLlyixYsEBR3eLwzE2SDh8+zGuvvYarqysajYadO3cWarNs2TJq1aqFtbU1zZo148iRI0awVCCX2NjYp2pnbwMzesHV6fBOa91nG05oGDvpeQaFTmZ59rtUw5E4khnFWfrSgYtsxI5XwCyf+11uEnnZjJhTdclqagORkTB8uG6j95dfQgk3Cj6tH6VBadtiqPGU1FVCS66GnH6mdDypBbXEtMR+aDS6W2hP8/rHant0dDSurq506dKlkOz9+/eZMGEC48ePf+xr6tSpRZoUGhpKXl4e8+bNQ6vVcv369ZL5KJNn7nZbRkYGjRs3ZujQoUVuVtuyZQtjxoxh2bJltG3blhUrVtCtWzeioqKoXr16icbWarUFKgqnpqaWSE9QNN7e3sVq7+YI696FjzrA6C1w/BpM+sGMmkdb49u3BQlNDzJbs5vL3GEwd2jGi0xiOJ6sJVUTQlKLyySFa3C80pgqo+5i88ttmDUL5s6F/v11t+Jk/IVUXD8MSWnbYqjxlNRVQkuuhpx+pnQ8qQW1xNRYfkRGRhIdHc2AAQOK/LmTk1Oxb7eBbjEkPj6e1157jYSEBE6cOIGLiws1a9YsocXFx3zKlClTSn3UElCnTh06deqEp6cnU6dOZeDAgdSrV0//8/fee48ePXowadIknJ2d6dq1K8HBwaSnp9OlSxcCAgIYMWIEgYGBDBs2TL9Mef36dU6dOkX//v0fO/aMGTPo2rUrvr6++Pr64u/vD8CAAQP45ptvaN68Ob6+vrRr144ZM2bg7u7Od999R15eHhcuXOD8+fNIksSmTZvw9PRk3rx5+rYNGzYkKCgIa2trTp48SXR0NOnp6fz444/UqFEDf39/fdvmzZsTEBCAk5MT+/fvJyEhgYSEBPbt24eTkxOLFy/Wt23bti1z5syhevXq7Nq1i7S0NK5du8aJEyewsrIiKCiIZs2aFbDbw8ODTZs2kZ+fT0REBBEREeTl5bFlyxbq1auHn5+fvu3zzz/P6tWrsbGx4fjx41y7do3U1FRCQkJwc3Nj4cKF+rYtWrQgICAAZ2dn9u7dy927d4mPj+fgwYM4OjqyZMkSvL29GTBgAG+99RazZs2iZs2a/PDDD6SnpxMdHc2pU6ewsrJi3bp1eHl5MWfOHL1+p5Z1sb7+La08HTl325rbaWXY/psZ1w5YsbJaB+IvhpNYA2JJYjN/sOdmZZ5PfQ+bjLuUsY/jYcU73BucTso7TUm9ChUup0JEBKxaxa1168gwMyM0OprEpCTi4uI4dOgQ5cuXZ/ny5bRp04ZZs2bpbalVqxaffvopbm5uXLlyhfDwcCwsLFi/fj1NmjQpYLenpycbNmzAzMyMM2fOcOnSJbRaLdu2bcPd3Z358+fr2zZp0oQVK1ZgZ2fHkSNHuHHjBsnJyezZs4fKlSuzaNEifduWLVuyYMECKleuzMSJE6lYsSI3b97kyJEj2NvbExgYSKtWrQrY/dxzz/H999+j1Wq5ePEiZ86cwdzcnODgYBo1asTcuXP1bevXr88333yDhYUF4eHhXL58maysLHbs2MHhw4f59ddf9W29vLxYvnw59vb2HD58mLi4OBITE/nll19wcXEpYHfr1q3x8/PD1dWV0NBQHjx4QGxsLEePHiUkJIQzZ87QsmVLZs+eXeBc27p1K9nZ2URFRXH27FkANm7cSIMGDQqcaw0aNGD9+vXs2rWL3Nxcrl69qn/suGbNmixYsEDftmnTpixduhRHR0cOHDhAfHw89+7dIywsDGdnZ95//30GDx7MjBkzaNOmDXPnzsXNzY2QkBBSUlKIiYnh+PHj2Nrasnr1av01IioqioMHDxbrGhEeHk5UVJS4Rnh7M3PmTLy9vYt9jahbty7ffvstAGfPniUgIIA6deqwdetWPDw8CtjduHFjVq1aRdmyZTl27BixsbEkJycTGhpK1apVC9j9wgsv4O/vT6VKlQgLCyMxMfGprhE7duwgMzOzxNeId955R38cPs01onXr1iQmJuLs7EyZEuSQu3jxIpUrV8bNzQ0HBwdWrVpF06ZNC+xLKi7Xrl2jXbt2bNu2jfnz5zN//ny2bNnCggULnpgLKicnh8TERA4dOoS9vT3h4eG88sorzJ8/n+rVq7NkyRImTJhQrJxSz3QySY1Gw44dO+jVqxcA2dnZ2NrasnXrVnr37q1vN3r0aM6ePcuhQ4ceq3Xw4EGWLFnyr0+3FbWSVK1aNZFMUmFyc3OxsCjZImeGFub+DHN/gYc5uhViH28Y83o6K+1CWcYhsskF4E1a8BX1sCaAZLYBulPC4UF7XOfbYTvnZ8jJ0QlXq6Z7Is7HBxwdDe6HUpS2LYYaT0ldJbTkasjpZ0rHk1pQS0yL64eSySRTUlJYu3YtNjY2vPnmm0b9XSiSST6BxMRE8vLycHFxKfC5i4sLCQkJj+33yiuv0K9fP0JDQ3Fzc+P06dNFtrOyssLe3p7g4GBatWpF586dFbVfoMPX17fEGmWtYGpPuDT1UTJKWHkEWn9djmph/bmQO43BtEKDhk2cpgnfspg3cOE0FRgEmJFS/hAXp4fwR8rLZC0ZAc7OcPMmfPEFuLnB//4Hly4Z1A+lKG1bDDWekrpKaMnVkNPPlI4ntaCWmBrTDwcHB8aMGcOIESNUuVigqpWk+Ph4qlatyq+//krr1q317WbOnElwcDCX/uUXmhxEWZJnhyNXdfuVfr+pe+/hAgv6QZWGN/hCs529XATAARsm0JXhuJHMLJLZzKOVJce8vlT5oQk2U7fC+fN/iXfrptu39NJLiqYQEAgEAkMgCtz+R1eSKlasiLm5eaFVo7t37xZaXSoJS5cupX79+oo/7ijQYYhijS/WgdMTYfVgqGQHV+7Aq0vgqyXVCbw3hp8ZTWPcSCGL8ezgeTZwhI+px3kc6QdAsvn3RPWZRMzZhjw8vg569tRNinbvhldegYYNYeVKXWI2A/khF1Hg1jBaosDts41aYqoWP0wRVa0kAbRs2ZJmzZqxbNky/Wf169fn9ddfl7XL/t8QK0mGIS4uDjc3N4Ppp2bBjFBYuA9y8sDKAsZ3hc+65vN9mZN8xQ/cJBmAplRnIf1pRha3mcoDtv+pYkYF3sb1+jtY+f8AQUG6HCIAFSrAxx8T36cPrs8/bzA/ioOhY1pa4ympq4SWXA05/Ur7O/wvoJaYFtcPsZKk4pWk9PR0zp49q396JSYmhrNnz+pTl48dO5bVq1cTFBTExYsX+eSTT7hx4wYffPCBMc0WFIOwsDCD6tvbwNy+EDEJuniCNhemhkDjqWY4X2jNZaYxhz7YY80ZbtAOP97lBGaswJMzONATyCeJb4is2ZUbi/LIufUb+PtDrVqQlARTp+LcooXuNtyfx6YxMXRMS2s8JXWV0JKrIadfaX+H/wXUElO1+GGKPHOTpPDwcLy8vPQpyseOHYuXlxeTJk0CdI/jL1y4kGnTptGkSRMOHz5MaGgoNWrUUMwGcbvNsHh6epbKOHUrwy+jYYsPuJaHP+5B98Xw1nJLBia9wlWmM4J2mKFhK7/hyWSmcx0XtlCPU9jxEhI53GMpF+y9uDXmHrlXT8N330HTppTJzoZFi6B2bRg6FC5eLBW/iqK0Ymro8ZTUVUJLroacfqX9Hf4XUEtMTcGP2NhYAgMDiYiIKLHWwYMH2bJlC0FBQfTv358zZ84oYKE8nrlJUocOHZAkqdBr3bp1+jb/+9//uH79Olqtlt9++4127dopasNHH31EVFTUY5+CE5SMtLS0UhtLo4H+zXVPwY17CczNYMdZ8JwMQXvsCch9i9/5is7UQ0suvuyhDl+zGS212UMd9mHLC+STSQKzuGBeh4R+18gPP8xvs2dDp06Qmwvr1kH9+tC7N5w8WWr+PaI0Y2rI8ZTUVUJLroacfqX9Hf4XUEtMS+qHhEQeGU/1kii8QycnJ4eJEyfi4+PDuXPnSmQLQN++fXn48CHDhg2jZcuW/5q/0NA8c5Mkgfp58OBBqY9pZw1+b8DvX8GL7pCZDRN2QOPpcP+yG2GM4Qf+hzuVuEMq7xNMc2bxO27U4wS12YE19ckjmVuM54KmDvde+gNp3x7dpKhPH92MbOdOaNUKOnaEn3/W5SYoBUo7poYaT0ldJbTkasjpZ4zzQu2oJaYl9SOfTM5S7qle+WQW6u/n50fbtm25e/euIsV2Dx48yBtvvKF/n/5ov6cRePazaBmBpUuXsnTpUvLy8oxtiipp1KiR8cauCoc+heAT8Nn3cCkBOi2AN1tomN+vMZEODVjCAabxE2e5SQfm0wcv5tGX+pwniY3EM4lsYnFutppIDuD6wnQcv9+K5tIVXamTDRvg4EHdq0kTGD8e3ngDDFhss7RjaqjxlNRVQkuuhpx+xjwv1IpaYmpMP7RaLYsXL+b8+fOEhoYyePBg/c+SkpKYN28e//Z8mI2NDZMnTy7w2d/92bVrF3PmzFHe8KdETJJk8NFHH/HRRx/pd8sLlGX37t0FSs2UNhoNDGkNPRvDVz/A8kOw6TSERMC01ywY1fElBpu3Ygq7COQw2/mdECIYQye+pB8NGEAiK/kjYyKU/YMYBpHAHKrWm4l90Bo0U6fqNnmvXAlnz8LAgeDuDhMmwODBUIIyAY+jtGNqqPGU1FVCS66GnH7GPi/UiFpiWlI/zLClCU+3WmNGwafhdu/eTaNGjUhJScHT07NASZIKFSrIfqr81KlThISE0KJFi8fWhisNnukUAMZGpAAwDOnp6ZQrV87YZug5cwM+3AinruveP+8Gy96Etu5wgVuMZSthfyajrIQdM+nFUNqQkX6XjHKrSWAe+eiKIZfDm6rMphzecP8+LF0KAQG6/wPUqKHL6D10KFhbK+ZDacfUUOMpqauEllwNOf1M7bxQA2qJaXH9UDIFwOjRoylXrhwdO3akS5cuJdIqisDAQNasWcOBAwee6KNIAWAiiKfbDMvChQuNbUIBmlaH41/AiregQlk4Hwfe82DYenBJq8rPjCaEkXjgwl3S8CGYZsxkzI4lVOErGnENFz5DgzXpHOUyL3KVHmQ63YRJk+D6dfDzAxcXiI3VlTupXRsWLtQnpiwppR1TQ42npK4SWnI15PQztfNCDaglpsb0Izo6GldX1yInSPfv32fChAmMHz/+sa+pU6cW6HPixAlcXFyIiYkBdA9rhYeHs2fPnlLx55+IlaQSIFaS/nskpsP47bDmmO59hbKCoiHtAAAgAElEQVQwry8MbQM5mlyWc4gphPDgz82NvWnCPN6gNs5kc4vbTCORNYBuP5sjb+LKNKxxh6wsWLMG5syBuDjdAM7OMG6cbuJkZ2cEjwUCgdpQaiUpMjKSPn36cOzYMSpWrKiIbeHh4YwZM4b9+/djaWlJaGgovXr1IjIykjp16vxrX7GSJPhPYMop9iuWg9VD4NfPobEbJGXAe99AxwUQk2DBaDoTzXRG0gGzfNjBWTyZzGds4yEVqMEKGnARRwYCkMwmIvHkBh+RY5MGI0fCH3/o9ivVqgX37uk2dteoAdOmQXKyLLtFWRLDaImyJM82aompsfxITEzEx8eHxMREcnJyCAwMJD8/v0SazZs3Z+zYsQQEBODv78+aNWsICQl54gTJUIiVpBIgVpIMQ2JiomJ/lRiS3DxdaZPJu3QpAywtYGJXXYkTqzJwLDmK6Y5h/EwUAFVwYB59GcQLaNCQye/c4ktS2Q2AGXZU5gtc+ES3OTInBzZtglmz4PJl3aB2djBqFIwdqyt/8pSUdkwNNZ6SukpoydWQ0+9ZOS+eJdQS0+L6oeSepJSUFNauXYuNjQ1vvvmmUX8XipUkE0HsSTIs27ZtM7YJT4WFOXz6MkROhm4NITsXpoRAkxlw+ApEbDnMHkbzEyNxpxK3SeFtgmiPH+eJwxYv6hCKB/uxpSn5pBHPV1ygDokEIZUxgyFDIDISNm/WFdBNS4OZM3WrTJMmPfXKUmnH1FDjKamrhJZcDTn9npXz4llCLTE1ph8ODg6MGTOGESNGqHKxQEySZCAybhuWVq1aGduEYlGzIvw0UlfexMVel1up/Xz4OasfSRnQnUZcYBIzeR0bynCEaJoyk9Fs4QGZ2NGRepymFhuxpAY5xBPLe0TRhBR2I5mbwYABcO4cbN8Ozz8PqakwfbpusjRlCjwhmVxpx9RQ4ympq4SWXA05/Z618+JZQC0xVYsfpoiYJAlMjrhHm5afIf5e3mTEn1Vwdl5yot5k2HQKLKUyTKQ7l5jGGzQlj3wC2I8Hk1jLMSSgAoNowCXc8MOc8jzkAtF05yovkckZMDPTlTX5/XfYulW3spSSAlOn6iZL06bp3hdBacfUUOMpqauEllwNOf2exfPC1FFLTNXihykiJkkCk+NZ3iZX3hYC34Kjn0G1cmncS4NBa+D1ZXArGapTga2MIIwx1KMy90hjGN/Qlrmc4QZmWOPCOBryBy6MQ4MlaezjIs2IYTBaYnWTpTfe0K0sbdmiqwn34AFMnqybLM2cqVtp+hulHVNDjaekrhJacjXk9HuWzwtTRS0xVYsfpoiYJAlMjmrVqhnbhBLT1h2+H3SNaT2hjDnsOg/1p8CqI7pybV3w5BxfM4++lMOKE8TQnFl8yEaSyMCCCrjhRwMuUYFBACSxgUjqEsfn5PJAN1nq3x/On9dt8K5XT7dH6auvdJOl2bN1e5go/ZgaajwldZXQkqshp58azgtTQy0xNQU/YmNjCQwMJCIiQlHdL774giNHjiiqWRzEJElgchw/ftzYJihC+Klf+bqHrmhuy1qQ+hCGb4DO/vDHPbDEgk95mUtM5U1aICERyGE8+JqVHCaPfKyoRS02Uo/TlKMDElruMI8LuHOXJUjk6Gq+DRwIFy7Axo1Qty4kJcHEibrJ0pw5nD5woFR9N9R3qKSuElpyNeT0U8t5YUqoJabG9iMnJ4eJEyfi4+PDuXPnFNM9cuQI69atM2qdVDFJkoF4us2w9O/f39gmKMIjPxq4wrHPwb8f2FrCgcvQaCosCIO8fKiKI9/yPgcZR0NcuU8GI9hIK3w5hS7rbFma48F+3AnBmvrkcZ+bfEwUjUn5M4UA5uYwaJDuabjgYKhTR1fuZPx43ps5E+bNg4yMUvXdlHWV0JKrIaefWs4LU0ItMS2pHxISGWif6iVR+Naen58fbdu25e7du1SpUqVEtjwiNTWVc+fO4enpqYieXMQkSQbi6TbDsnz5cmOboAh/98PcDMZ0gYhJ0KkuZOXAuG3QZg5cuKVr0x4PzvAVC+mPPdaEE0tLfPEhmCQy0KDBgR7U5xzVWYY5Tjzk4p+bu7uSReSfg5nD229DVBSsXw/u7pjdvw+ffw7PPQfz5ytW7uRpfDdVXSW05GrI6aeW88KUUEtMS+pHJtmUY9RTvTLJLtBXq9WyePFi+vfvT1hYGJ06ddL/LCkpqdhlSR6xcuVKfHx8SuSXEohkkiVAJJMUyEGSdGVNxm3V3YIrYw5fdoMJ3XQJKQESSGE8O1iPbhm9IuWYzxsMphUadFW2c3lAAjO4S4DuthvmODOcKkylDM5/DZibCxs26FIGXLum+8zFRXc7bsQIsLIqRe8FAoGx+WcyyQy0lGPUU/VNJ4Cy/HXN2LlzJ8uXL2fZsmUkJSUpcoclJCSEmjVr0rBhQzp06MCUKVPo0KHDE/uJZJKC/wRqLxWg0cD73hA1BXo2hpw8XRLKZjPh9HVdm8o4sI53Ocyn1KcKiaTzDuvoxAIukQCABeVxw4/6RFGeXkAe91hOJHW4w3zyH/3FZ2HBjLg4uHRJVxuuVi24cwdGjwYPDwgK0k2kSsF3U9IVZUkEaolpSf2wxZJ0Ap7qZYtlgb4HDhygefPmxMTEKDJBio+PJykpiYYNG5ZYSwnESlIJECtJhiEtLQ07FRRzfRo/JAm+C4ePt8C9NDDTwCddYFpP3f4lgGxyWcBephFCFjmUwZzxdGUCXbH52wUrjQPcZCxZnAXAitq44YcDr5Oelv6XLTk5uonR9Olw6897fR4eujxL/frpnporBd+NrauEllwNOf3Ucl6YEmqJaXH9ULIsSY8ePejevTsfffRRoZ/dv38fPz+/f01RYGNjw+TJk/Xv165dS0JCAhqNbsU8ICCAV199ld69e9OtW7d/tcUQK0lIAtmkpKRIgJSSkmJsU1SFv7+/sU1QhOL4cS9Nkt5aLUkM171qfylJBy4VbHNNuid1lwIkpOES0nCptvSl9LMUWaBNvpQr3ZPWSGelylK4hBQuIV2SOkgrN3xaeNDMTEmaP1+SnJwkSTdfk6TGjSVp1y5Jys+X47IeQ32HSuoqoSVXQ04/tZwXpoRaYlpcPzIyMqTw8HApIyOjRONeuHBB8vDwkO7du1cinX+jRo0a0oEDB56q7SO/tm3bJq1evVry9/eX7t+/L0mS/N/X4nabwOR4+eWXjW2CIhTHj4rlYMN7EDIS3Bx1KQI6LoARGyAlS9emFhUJYSTbGIEr5fmDe7zCIt5kNQnoMm1rMKciw2jIFSozEQ1WpHOQpoPmc533yOH2X4Pa2OgK5cbE6FaR7O11CSpfew3atoUSpA0w1HeopK4SWnI15PRTy3lhSqglpsbyIzExER8fHxITE8nJySEwMJD8/HxFtOPi4vj8889JSEhg/vz5hIaGKqJbXMQkSQYiBYBhuXjxorFNUAQ5fvRopCuY+6i0ycoj0GAKhJzXvdegoS9NucgURtMJMzRs5jT1mMwyDpKH7gJljh1VmUkDLuPIQNBI3CeIC9ThNrPIJ+uvQe3s4OuvdZu6v/hCN3k6fhw6dYKXXoJTp0rF99LWVUJLroacfmo5L0wJtcTUWH60b98eHx8f9uzZQ1BQEIMGDcJMgdv1AG5ubsydO5eHDx+ya9cuunfvrohucRGTJBmIFACGRQ17BEC+H/Y2utImB8ZCbWe49QBeWwpvr4HkP9Mc2WPDQgZwigk0pwYpZPERm2jDHH7nhl7Liho8xyZSTi7AlhfIJ4N4viSSeiSxuWDOEycn8PWFP/6AkSOhTBnYuxdatoRevaAYmXQN9R0qqauEllwNOf3Ucl6YEmqJqTH9cHBwYMyYMYwYMUKVe3PFJElgcjg4OBjbBEUoqR8d6sL5SfDZy7oN3RtPQYOp8NPf5irNqMEJxrOYgdhhzSmu05xZjOU70niob1eWNtTjODXZQBncyOYGMbzJZdqSwT9WiqpUgcWL4coVGDpUt5H7hx+gcWN46y2Ijja476Whq4SWXA05/dRyXpgSaompWvwwRcQkSWByREZGGtsERVDCD1tLmNtXl7G7rgvcToFXl8Cw9X/tVTLHjJF05BJTGUBz8pHwZx/1mcIOfkdCIjIyEg1mOPEWDbmMK9Mww5YMjnOJllxnKDl/phbQU7Om7im4yEjdU2+SBN9+q6sRN3w43LxpUN8NrauEllwNOf3Ucl6YEmqJqVr8MEXEJElgcnTt2tXYJiiCkn60ek5XA+6Tzro8S2t/1ZU2CYv6q40r5dmMD7v5mOeoSBzJ9CGQniylYY9W+nZm2FKFr2nAFSowBID7rOMCHiTg91d+pUfUqwfffQdnzkD37pCXB6tW6cqefPIJ3LtnUN8NpauEllwNOf3Ucl6YEmqJqVr8MEXEJElgcgQFBRnbBEVQ2g8bS1jQHw6Ng+cqws1keHkRfLgR0v+6s0ZXGnKByXxJN8pgTggReDsGMJefyeGvQpGWVKUW66nLcWxpTj5p3OIzomj0Vz24v+PlBT/9BEePQrt2oNXCwoVQu7Yu51J6usF8N4SuElpyNeT0U8t5YUqoJaZq8eMRJ0+e5MaNG+Tl5XHr1i1OnDhhNFtEMskSIJJJCoxF+kP4YjssO6R7X6sirH0H2nsUbHeR23zItxziCgANcWUFb9OG2gXaSeRzn/XcYjy53AXAgR644Y81dQobIEkQFqYrbfLbb7rPXFx0T8n5+IClZeE+AoHAJFAymeQjYmNj2b17N23btqVRo0Yl0nr33XdZv349AM2bN2fjxo14eHg8oZcoSyL4jyBKBTyZctawdBDsHQPVK0BMInSYD2O2QObf7pZ5UoUDjKXPjxVwoiwXiKctcxlOMMlk6NtpMKMiQ2nIFVwYB1iQwk9E0YA4xpNHWkEDNBp4+WVdeoDNm3WrSXfu6J6Kq1+f7f37g0L5Uv6OKEsiUBK1xLSkfkgSZGif7lXUskpOTg4TJ07Ex8eHc+fOlcgWgJo1axIXF8fNmzc5ffr0U02QDMV/fiXp5s2bDB48mLt372JhYcHXX39Nv379nqqvWEkyDDk5OZQpU8bYZpSY0vIjNQvGbYPVR3Xv61SC9e9C678tFuXk5JBaRssXbGcNxwBwwZ7FDOQNmuqL5j7iIZe4ySeksgeAMlShKnOowFtoivrbKidHt09p2jTdZAl0t+fmzNHlWlIIJWOqhJZcDTn91HJemBJqiWlx/ShU4FYL5Z6uvi3pAVD2HzWxZ8+ejYODA7179yYqKorOnTsXw/rCTJkyhSlTphS7n1hJMgAWFhYsXLiQqKgo9u7dyyeffEJGRsaTOwoMxoIFC4xtgiKUlh/2NrBqMIR+DK7l4epd8J4HX3wPD3P+ssWJcqxmCIf5lHpU5g6p9Gclr7OMmyQV0LSmHu6EUptdWFGbHG5znSF/pgwoIj9YmTLwv//p0gNMn47Wygp+/1232tSlC4SHK+KrkjFVQkuuhpx+ajkvTAm1xNSYfmi1WhYvXkz//v0JCwujU6dO+p8lJSUxYcIExo8f/9jX1KlTC2lmZGSwdu1avv32W4YNG2bcpJ/FKmLyH6BRo0bSjRs3nqqtqN1mGP744w9jm6AIxvAjKV2ShgT9VQOu/mRJOh1T2JaHUrY0SfpBKiN9KCENl8pJH0tLpP1SnpRXSDNPeijdlnylM1LZP+vBaaQYaZiULSU81o6Y06clacwYSbK0/KsuXL9+knT5con8UzKmSmjJ1ZDTTy3nhSmhlpgW149/1m7Lz5ek9IdP9/pnWccdO3ZIL7/8shQdHS2dOnVKEX9OnDih/39YWJhUt25dKS+v8LXpcX79p2u3HT58mNdeew1XV1c0Gg07d+4s1GbZsmXUqlULa2trmjVrxpEjR55KOzw8nPz8fKpVq6a02YJicPz4cWOboAjG8MOxLKwfCjs/BBd7iLoNrebA2E0ZZOf+1c6KMkylJ7/zFa15jnS0jGQz3swjkvgCmmZYUZkv/kwZMBh4VOLEgzv4I5FTyI5jly+Dvz9cvgxDhuj2MG3dCvXrwwcfwO3bhfo8DUrGVAktuRpy+qnlvDAl1BLTkvqh0ehuoT3NS1PwzjwHDhygefPmxMTEKFaqq1mzZvr/u7u7c/nyZc6fP6+IdnGxMMqoJSAjI4PGjRszdOhQ+vbtW+jnW7ZsYcyYMSxbtoy2bduyYsUKunXrRlRUFNWrV3+s7v379xkyZAirV69+bButVotWq9W/T01NLZkzgiJRyyTVmH683gTausPITbAlHH640YgXZuv2KjX+m1kNcOUonxHIYcazg+Ncw4sZjKcrX9INK/7a52CJK7X4Bmc+5CYfk8lvxDGWRFZSjSXY89c+BL3vNWvC+vXw6acwYYIuhcCKFRAcDGPGwOefQzGyBSsZUyW05GrI6aeW88KUUEtMjelHdHQ03bt3p0uXLoV+dv/+ffz8/JD+ZeuzjY0NkydP1r8/ceIEXbp0ITExEWtra9LSdA+NWBrpiVnzKXJ2RxmROnXq0KlTJzw9PZk6dSoDBw6kXr16+p+/99579OjRg0mTJuHs7EzXrl0JDg4mPT2dLl26EBAQwIgRIwgMDGTYsGGYm5uj1Wrp0aMHo0eP5tVXX33s2DNmzKBr1674+vri6+uLv78/AAMGDOCbb76hefPm+Pr60q5dO2bMmIG7uzvfffcdeXl5XLhwgfPnzyNJEps2bcLT05N58+bp2zZs2JCgoCCsra05efIk0dHRpKen8+OPP1KjRg38/f31bZs3b05AQABOTk7s37+fhIQEEhIS2LdvH05OTixevFjftm3btsyZM4fq1auza9cu0tLSuHbtGidOnMDKyoqgoCCaNWtWwG4PDw82bdpEfn4+ERERREREkJeXx5YtW6hXrx5+fn76ts8//zyrV6/GxsaG48ePc+3aNVJTUwkJCcHNzY2FCxfq27Zo0YKAgACcnZ3Zu3cvd+/eJT4+noMHD+Lo6MiSJUvw9vZmxowZvPrqq8yaNYuaNWvyww8/kJ6eTnR0NKdOncLKyop169bh5eXFnDlz9Pp169bl22+/BeDs2bNERkaSk5PD1q1b8fDwKGB348aNWbVqFWXLluXYsWPExsaSnJxMaGgoVatWLWD3Cy+8gL+/P5UqVSIsLIzExETi4uI4dOgQ5cuXZ/ny5bRp04ZZs2bp+9SqVYtNmzZha2vLlStXCA8Px8LCgvXr19OkSZMCdnt6erJhwwbMzMw4c+YMly5dQqvVsm3bNtzd3Zk/f76+bZMmTVixYgV2dnYcOXKEGzdukJyczJ49e6hcuTKLFi3St+34YktuHFxAzxdrc/CKhrhUS1Ydyef8+XM0rfqQlSsCadWqFbNnzWZcuyEkLTpJ2cauXC2TyGGusj79COlHY3HRliU4OJhGjRoxd+5curR7ixUzEmjl1YvU/KNIZeJJ4huuxe/l/o2q7Pw+DCsrK7Zu3aq3xatrV5anpFD5rbfIi4zENiEBjhzh4eLFZDx8iP/Bg7zYsSMzZsygdevW+Pn54erqSmhoKA8ePCA2NpajR4+SkZHBTz/9RMuWLZk9e3aBc23r1q1kZ2cTFRXF2bNnAdi4cSMNGjQocK41aNCA9evXk5KSwq1bt7h69SqZmZns3LmTmjVrsmDBAn3bpk2bsnTpUhwdHTlw4ADx8fHcu3ePsLAwnJ2dWbRoET179mTGjBm0adOGuXPn4ubmRkhICCkpKcTExHD8+HFsbW1ZvXq1/hpRo0YNgoODi3WNcHR0JCwsTFwjvL2ZOXMm3t7eJb5GnDx5EkdHR6NdI3bs2EFmZmaJrxF+fn764/BprhGtW7cmMTERZ2fnEm1cj4yMZPny5SxYsKDIVAK2trZ06dLlX18dOnQost+jzd87duwgOTmZ8ePHP9GenJwcEhMTOXToEPb29oSHh/PKK68wf/58qlevzpIlS5gwYQJWVlZP1NJTrJtzJgYg7dixQ/9eq9VK5ubm0vbt2wu0GzVqlNSuXbsiNfLz86WBAwdKkydPfuJ4Dx8+lFJSUvSvmzdvij1JBmDDhg3GNkERTMmPpUHbpF7L/tqr1NpXkqLvFm6XL+VLW6VwqbL0qYQ0XEIaLo2QNkgPpMwidXOkZClW+lgKl8ykcAnpjFRWui35Shu+Xfd4Y/LzJWnnTkny9Pxrv1L16pIUHCxJT9h3oGRMldCSqyGnnykdT2pBLTEtrh//3JMkl4MHD0rz5s2TLl68KGVnZ0vLly9/qr1DT2L//v3SvHnzJF9fX2nYsGHSnTt3nqqf2JP0BBITE8nLy8PFxaXA5y4uLiQkJBTZ59ixY2zZsoWdO3fSpEkTmjRpQsRjqp1bWVlhb29PcHAwrVq1KvFjjoKiad26tbFNUART8qNrey+2fwDfDAV7azh+DRpP16UN+PtKuAYNb9CMKKbwPt4ArOAwnkxmB78X0rWgPNUJwJPfKEtb8sngFuOp33caqYQVbYxGA6+/DufPw5o1ULUq3LgBgwdD8+awb99j/VAypkpoydWQ08+Ujie1oJaYGsuP9u3b4+Pjw549ewgKCmLQoEGYmZV8WtGxY0c+/fRTvvjiC9asWUOlSpUUsFYeqpokPULzj51lkiQV+uwR3t7e5Ofnc/bsWf3rSdlCP/roI6Kiojh9uohHoQUlZuvWrcY2QRFMyY+tW7ei0cDgVnB+ki4zd4YWfIKh13K4+4/tdY6UZRWDOcBY6lCJ26TQh0DeYAUJpBTSt6UJdTlCTdZjgQv5lte4ysv8QT+yeUwhXAsLGDYMrl6F2bPB3l6XNqBLF12NuCL+WFEypkpoydWQ08+Ujie1oJaYGtMPBwcHxowZw4gRI1SZL/CZTiap0WjYsWMHvXr1AiA7OxtbW1u2bt1K79699e1Gjx7N2bNnOXTokCLjLl26lKVLl5KXl8eVK1dEMkmF+a8meDMk/7QlLx8WhMGXP0BOHlSyg9WD4bXGhfs+JIfp/MQcfiaPfByxxZ/+DKFVoSSUAHmkEJf3NYnmS4F8zLClMl/hwljM+Je9APfuwYwZsGwZ5OaCmRm8+64uQWXVqkX6URJEMkmBWmJa0mSSakEkk3wClpaWNGvWjLCwgsv8YWFhtGnTRrFxxEqSYZkzZ46xTVAEU/Ljn7aYm8Fnr8DpCdDQFe6mQc9lMGJDwWK5ANaUYSa9CGciXlQjmUzeZR3dWcyNfyShBDDHgeDZlfDkd8rhTT6ZxDPxz8K5Pz/eSGdnWLQILl6EN97QlTUJCoI6deCrryA1VdGYKqElV0NOP1M6ntSCWmKqFj9MkWduJenREwwAXl5eLFiwgI4dO1KhQgWqV6/Oli1bGDx4MIGBgbRu3ZqVK1eyatUqIiMjqVGjhqK2iLIkAjXwMAe+3AkL9ureu1eC4KHQ6rnCbXPIYz5hTGEXWnIphxVz6MMHtMOsiL+5JCSS2Egcn5GLbl9geXrjhj9WPOF8PHFClzrgmK6MCs7OMHkyDB+uy/AtEAhkIVaSVLySFB4ejpeXF15eXgCMHTsWLy8vJk2aBOgex1+4cCHTpk2jSZMmHD58mNDQUEUnSEuXLqV+/fqKJc4SFEQUnVSef7PFugzM7wf7PgE3R4j+s6zJ5B91t+L+ThnMGU9XzvE1balNOlo+YhMdmM8V7hQaT4MGJ96mIZepxCeAOQ/YQSSe3GYG+fxj2ervtGoFR47Ajh3g4aG7HTdyJDRoANu3F11psxiIArcCtcRULX6YIs/cSpIpIVaSDEN8fDyurq7GNqPEmJIfT2tLcgaM3AzfntK9b1FTt6pUt3Lhtvnks4xDjGcHGWixwoKpvMY4XuJu/J0ix8sighuMJJ3DAFjhTjUCcKDbvxuWkwOrV5M3aRLmiYm6z9q0gXnzdP/KQInvR66GnH6mdDypBbXEtLh+iJUkFa8kCdTPnj17jG2CIpiSH09ri2NZ2PgebHofytvC6evgNQOWHyq8cGOGGSPpyAUm8RKeaMllPDtohS+rTn1fpL4NjfDgILXYSBmqoCWaaLoTTS+0XH+8YWXKwIcfsnHKFN3+JBsb+PVXaNtWt3/p6tWn8u/vKPH9yNWQ08+Ujie1oJaYqsUPU0RMkmQgbrcZlgYNGhjbBEUwJT+Ka8vAFhAxCTrXg6wc+N+30GMJJBR++p+aVORnRrOWdyiPLb9xg+k9I/maH9AWUddNg4YKDKIBl6jEWMCcFH748xbc9H+9BVe3eXOYPh2io+H993VPwH3/va4m3Mcf627JPSVKfD9yNeT0M6XjSS2oJaZq8cMUEZMkGYin2wxLSkoRv4mfQUzJDzm2uDnCL6PBvx9YWcDuC9BwKuwonFMSDRrepQ0XmUIfvMgzk5hBKF7M5ATXitQ3x55qzKc+5yhHByQeEs8komhICkX/Zaz3w9UVVq2Cc+d0OZVyc2HJEqhdG2bNgszMJ/qnxPcjV0NOP1M6ntSCWmIq14+srCwyMzNV88rKylI4ss9ggVuB+nlU0PBZx5T8kGuLmRmM6QJdPOHtIDgXB30CYWgbWNgf7G0Ktq+MA9/zAZ+eWEpwqxgucps2zGU0nZhJL2wpXKTShgZ4sJ9kthDHOLT8QTTdKM8bVMMfS9we70fDhrqiufv3w2efwZkz8OWXulxL06fDkCFgbq5oTJTQkNPPlI4ntaCWmBbXDwsLC8zMzLh+/bphDDIikiSRl5f35IZPiZgkyeDvySQFyuPp6WlsExTBlPwoqS0Nq8LJ8TB5F8z9Bdb+CgcuQ/Aw8HYv3H6YfUcm8A5j2co3nGAh+wghgiCG8CJ1CrXX3YIbiAM9iGcydwngAdtIZQ+uTKUSo9Bg8Xg/OnWC06dh82aYOBFiY3XZvP39Ye5c6NpV8ZiURENOP1M6ntSCWmJaXD8sLS1p0KABubm5pKSkEBISQtmyZYtX+PUxJCcn4+joWGIduePl5eWRm5urmL643SYDcbvNsPzyyy/GNkERTMkPJWyxKvgKqJMAACAASURBVAO+feDQOKjhBNfvQzs/mLADsv9xTfrll19wohzrGUooH1OV8kRzl/bMZzRbyEBb5Bjm2FGNBX/WgmtNPunEMY6LNCOdX//dDzMzGDQILl0CPz8oX15X2qRbN3jllUJlTpSIiVwNOf1M6XhSC2qJqRw/LC0tsbW1xcrKioyMDB48eKDI68yZM4ppyRkvLS2NrKwstNqirzHFRaQAKAEiBYBhSEtLw87OzthmlBhT8kNpW1KzYNQWWH9c975Zdfj2ffBwKXq8FLIYx1bW8H/2zjs8iqqLw+9mQxJIgRACSAchkIQSegtFQUWxoh+gINKkKiKIiiCChN5LpEov0gQEEQjSm9RQktBLCEgJhBRSSe73x5BATNudnd0dlnmfJw/PLnN/55zLzOXmzr3nSIkhK1CEBXxGM7xytCFI4z4LiOA7Up9k9nZL7kR5h8nY45G3kw8ewKhRMGOGlELAzg66dZPKnBQvrkifyNWQ005N95OtYCt9akocjx49YtWqVcTExOR9sQFYutRLbvbc3Nxo164dzs7Osv+/1iZJJqBNksxDQEAAQ4cOtbYbJqOmOMzly7oTUpHcqHhwdoQZ7aBzIxg1Knt72wihO0uJIAqAL2jOGD7ABaccbTwmkgi+4z4LANDjQSnG40FndIYshl++DN9/D2vXSp9dXGDwYMYmJfH9iBHGB/0McvtVTjs13U+2gq30qalxPHr0SLGVl6lTp9K/f39FtEy15+joiLOzMyD//2ttkiQDrcCthsZTIqLg0wWw+4L0uW1tmN1ByrmUHdEkMIi1zGM/AOUpwq904hUq52onjv1cpzeJnAXAmcaU4RcKUN0wRw8cgAED4MiTTJmlS0sn4T75RFpl0tDQsFm0ZJIWRNuTZF5sJcW+muIwpy+l3GHH1zDmA7C3g9XHofygaPblkN+xIPmZy6ds4yvKUJirRPIqk+nLCuJyyZHkgj8bRn9EKSZihzOPOEAYtbjBQFIx4HRP48Zw6BCsWAFlysCNG/Dpp1C/vlT+RAZaWZLnG1vpUzXFYWlfzG1PW0kyAe11m3m4f/8+Hh4G7DlROWqKw1K+HLkKn/wKl++BnQ6GvAXDWoN99qfwiSGB7/id2U/KlJTDg1/pxKtUyfb69DiSucEN+vOQ3wHIR0lKM41CtEGHLm9HExJ4NHo0ztOmQfrx6Q8/hHHjpFxLBiK3X+W0U9P9ZCvYSp+qKQ5L+2KoPW0lScNmWL16tbVdUAQ1xWEpX+qVh5NDoYH7OdIEjPxTOgF3NTL7693Izyw6sIP+lMWDa9ynBVPozXJis1lVSo/DgdK8zDoq8icOVCCFm1zhIy7RmqQckldmIn9+lpQoIZUz6dnzaeZub28YOBCiogyKV26/ymmnpvvJVrCVPlVTHJb2xdz2tEmShupo2LChtV1QBDXFYUlfXJ1gVvtEVnYHNyc4dAX8Rj4tmpsdLfDmDMPoQzMAZrOXqoxgB2GZrvtvHAV5C1/O8hI/osOBGP4iBN8n5U1y34jasGFDKFYMZs+WMne3aiWdgps8GSpWhOnTpc95achATjs13U+2gq30qZrisLQv5ranTZI0VMeNGzes7YIiqCkOS/ty48YN2teFUz9Co5chJhE6/AqdFkrpA7LDFScC+YSdDKAcHoTzgNeYSk+WEUNChu5/sSM/JfgZH07jSotnyptUJ4a/c/Uxg6pV4a+/pB9fXyl9wFdfSd9v3Ji1um92GkYgp52a7idbwVb6VE1xWGOsMSfaJEkGWoFb86LTGbCn5DlATXFY2pd0e+WKSMknh78t7VFaehhqBsA/V3Nu+wqVOcMw+tIcgLnsoyoj2E5ornE4UZlKBFGeFdhTnCQucJGWXOETUvg3Rx8z0aoVBAfDnDlQtChcuADvvy9l9D5xwjANA5DTTk33k61gK32qpjisNdaYC22SJAPtdJt5KVWqVN4XPQeoKQ5L+/KsPXs9/PQO7P1GytR9JRIaj4dRWyA1Lfv2Ljgxk4/ZxQAqUIQbRPEG01jQ8FLGqlJ2SOVNPqYq5/DkS8COKFZylirc5RcET0sJ5dgn9vbQo4e0X+mHH8DREXbvhjp1oHNnuHkzb408kNNOTfeTrWArfaqmOKw51pgDbZKkoToOHz5sbRcUQU1xWNqX7Ow1rgjBQ6F9XWlyNHQjvDoZbjzIWac5lTnNMPrxKgDrPcKoxs/s5Fyu9vUUpAzT8eYoBahLGjHcoC/naUw8p3L0MRNublLG7vPnpVxKQsDixVCpEvz0E8TFye5XOe3UdD/ZCrbSp2qKQw1jjZJoKQBMQEsBYB4iIyMpUqSItd0wGTXFYWlfcrMnhPTare9KiEsC9wIwtyN8VDt3zb1coFPqAq7rpZNnfWnOONrgTO5FOQWp3GM2NxlMGrGAnmIMwCGyL0WLlDU8qCNHpGSUB6TSKrz0ErHffYfrF1+APoccBzkg599DTfeTrWArfaqmONQ01jyLlgJAw2aYPXu2tV1QBDXFYWlfcrOn00GnhlKqgLrlpJIm/5srlTd5lMuBtKZ48enEAvSiKQCB7KYGIznApVx90aGnKH3x5RyF+AhI5Q4TOG/vRzRbDA+qXj0p6eTatVChAvz7L679+0Pt2rBzp+E6yPv3UNP9ZCvYSp+qKQ41jTVKoK0kmYC2kqShYRopqfDTHzB2m7TC5FUMVnaHWmVybxdEKF1ZQgRR6NAxgJYE8B5O5F1YM5o/CacvyVwHwJ3/UYqpOFDCcMeTkmDmTBg5EqKjpe/eew8mTJBex2loaKgKbSVJw2ZQU4p9U1BTHGotFZBPD6M/gL+/hpKF4MIdaDAWJgVBWjabutN1X8OHs/xEFxohEEwiiJoEcIRcjs09oSCt8SGEKwf9AT1RrCEEb+4SmGljd644OsLAgUzq3RvSX7dt3CilDxg06OnEKQe0siTqwFb6VE1xqHWskYu2kiQDrcCteYmLi8PFxcXabpiMmuKwtC9y7N2Pk165rQ+WPr9ZFRZ9BkWfebSy093MaT5nKbeJQY8d3/MGw3gbB+zz9NHO5TLh9OQR/wBQgHqUZQ4F8DPI5wx/QkOlTN1bt0p/4ekprTJ16yadlsupnRGo6X6yFWylT9UUh1rHGm0lyYJoKQDMy7x586ztgiKoKQ5L+yLHnocLrOsFszuAUz746yz4BcDOZw6yZaf7NtU5y098TF1SSWMUf1GXMZwi9yRz8+bNowA1qMwBShOIHW7Ec4Qw6hDBIFJ5ZHicPj5SIsotW6BKFbh3D3r1glq14O+sCS3l9I+a7idbwVb6VE1xPA9jjTFokyQN1fHmm29a2wVFUFMclvZFrj2dDno2hSODwfsl+DcaWk6FHzfC49ScdT1wYQXdWUtPiuDCaSKow2hG8icpObxCS9eSNnb3wZcw3Pkf0sbuiYTiw0M2Gxfnm2/C6dNSSRN3dzhzBlq2lPYrXbyYczsDUNP9ZCvYSp+qKY7nZawxFG2SpKE6zpw5Y20XFEFNcVjaF1PtVSsJRwdDd39pQ3fAFnhlMuw6mvtJtg+pRQg/8QF+PCaNYfxBI8YRyq08fXSgBBVYTUU240BZkgnnMu9wmY9I5maW9tlpAJAvH3z5JVy6BP36SfuV/vhD2q/0zTfw8KGs/lHT/WQr2EqfqimO522syQttkqShOgoVKmRtFxRBTXFY2hcl7Dk7wrxPpdNurk6w/xJ8988bbAzOvV1R3FhHL5bRlUIU4BjXqcUoJrCNVJ7uBs/Jx/SN3cUYBOh5yLonG7tnZtnYnWuchQvDtGnSatKbb0rFcidNgkqVqLp/Pzx+bGhX5G1LQxa20qdqiuN5HGtyQ5skaagOV1dXa7ugCGqKw9K+KGmvfV0pp1KdshCbko/3Z0G/3yAxJec2OnR0oD5nGcabVCWJx3zL7zRlIhe5k6ePepwpxXi8OY4z9Ukjlht8yTkaEs/TWZpBcXp7S3uV0vcrRUbiPX061KwJO3YY3A9qup9sBVvpUzXF8TyPNdmhTZI0VEdYWJi1XVAENcVhaV+UtveyJxz4Ft546SwAM3ZBw3FSyoDcKIk7f/IF8/kUV5w4yGVqMJKZ7CIkLDRPu+kbu8vwy5ON3UefbOz+hlTijIszfb/SjBkkOjvD2bPw2mvw7ruZ9ivlhJruJ1vBVvpUTXE872PNf9FSAJiAlkzSPERERKiqYKNc1BSHpX0xl72IiAhOR5Xis0UQGSe9kvvlYymDd15c5z5dWcxOzgPQJLE8y516UJrCBtlO4V9u0J8oVgPgQBkKRI7g5SKdjY7j5pkzlJw/HwIDITX16T6mH3+EHF4fqOl+shVspU/VFIdaxxotBYBMYmNjqVu3Ln5+flSrVk1VRylfVBYtWmRtFxRBTXFY2hdz2Vu0aBFvVYNTP8IrlaUyJp8tgk4LIS4x97Zl8SCI/sygPfnJxz6nq1TjZ5bzD4K8f1fMx0tUYBUV2YID5UgmnIdFuuS6sTsnFm7c+HS/0ltvSfuVJk+GihVh1qxs9yup6X6yFWylT9UUh62MNem88CtJqampJCUlUaBAAeLj46latSpHjx7Fw8Mjz7baSpKGhvVITYPRf8HwTZAmoFJRWPU51MyjpAnAeW7TiYUc4RoAH1GLWXSgCIYlwUsjnlv8zB0mAqnY4UpJRuFJH3QYV+wWkJJQDhgA6a8OfH1hyhTpdZyGhobJaCtJMtHr9RQoUACAxMREUlNTecHnjVZHTSn2TUFNcdhKqYBndfV28GNr2D0QSrnDxbvQYBzM2CmlDciNyhTnrVGPGcm72GPHWk5QjRH8iWHHie0oQCnGsn9uL5xp8GRjd78nG7tPGRUHAK1awalTMGOGdCouJARefx3eeQfOn8++jYbJ2EqfqikOWxlrMhDPGXv27BFvv/22eOmllwQg1q9fn+WawMBAUa5cOeHo6Chq1aol9u7dm6tmVFSUqF69usifP7+YOXOmwb5ER0cLQERHRxsdh0bOpKSkWNsFRVBTHJb2xVz2ctKNjBXi3UAh6CH9vBsofWeI1jFxTXiLnwSih0D0EJ+LJSJWJBjsT5pIFXfFLHFSFBTHBOKY0IsI8b1IFfFGxyGEEOL+fSG++koIe3shQPrz669Fyt27BvmkYThqekZNQU1xqHWskfv/9XO3kvTo0SNq1KjBzJkzs/37VatW0b9/f4YMGcLJkydp0qQJb775JuHh4TlqFipUiFOnTnH16lVWrFjBnTvZH5lJSkoiJiYm04+G8kycONHaLiiCmuKwtC/mspeTrocLbOgN09qBgz38cUoqabIvl0Nj6Vq1KctxfmAALdGhYx77qcFI9pN74sp0DR12eNILX8IoxEdAKrcZSyjViCFrSZLc4gCklaSpU6X9Sq1bS/uTpkwhuVw5+OUXo/MraeSMmp5RU1BTHLYy1qSjHz58+HCzWlCYSpUq8eqrr+Lt7c2IESNo3749VapUyfj7bt260bp1a4YNG4anpyetWrVi6dKlxMXF0bJlS6ZPn07Pnj2ZPXs2Xbt2Ra9/un/AxcWFY8eOYWdnh6+vbxbbAQEBtGrVirFjxzJ27FimTJkCQLt27ViyZAl16tRh7NixNG3alICAACpWrMjq1atJTU3l7NmznD59GiEEK1euxNvbmwkTJmRcW7VqVRYsWICTkxP//PMPly5dIi4ujj/++IOyZcsyZcqUjGvr1KnD9OnT8fDwYOfOndy+fZvbt2/z999/4+HhwYwZMzKubdy4MePGjaNMmTJs2rSJ2NhYrly5wuHDh3F0dGTBggXUrl07k99eXl6sXLmStLQ0zpw5w5kzZ0hNTWXVqlVUqVKFiRMnZlxbvXp15s+fT/78+Tl06BBXrlwhJiaGzZs3U6pUKaZOnZpxbd26dZk+fTqenp7s2LGDu3fvcuvWLXbv3o27uzszZ87E39+fDRs28NprrzF69GjKlSvHxo0biYuL49KlSxw5cgRHR0cWLVpEzZo1GTduXIZ+5cqVWbFiBQDBwcGEhISQkpLCmjVr8PLyyuR3jRo1mDdvHs7Ozhw4cIDr168TFRXFli1bKFmyZCa/69Wrx5QpUyhatChBQUFERkYSERHBnj17KFSoELNmzaJRo0aMHj06o0358uUzjqZeuHCBY8eOYW9vz+LFi/Hz88vkt7e3N8uWLcPOzo4TJ05w7tw5kpKSWLt2LRUrVmTSpEkZ1/r5+TFnzhxcXV3Zt28f4eHhREVFsXXrVooXL860adMyrq1fvz6TJ0+mePHiXLt2jYSEBG7cuMG+fftwc3Nj9uzZNGjQIJPfFSpUYN26dSQlJREWFsaJEyfQ6/UsXbqUatWqMX78+IxrfXx8WLJkCfb29hw7dozz58+TkJDA+vXrad68Ob/++mvGtTVr1mTWrFm4ubmxd+9eIiIiiIyMZPv27RQrViyT3w0bNmTixImUKFGCLVu28PDhQ65fv87+/fupWrUqv/32G/Xr12fMmDGZnrW1a9dQs2Qy1Qre4OSdQtyKdWTRwTRSUpLZv3YczZpJ1/r6+rJ48WIqV67MuXPnuHjxIinxSSRsuEj3Sm/xV9Jpbjs9YpE4yMOUR5wJ3IZHwcLs2rWLW7duce/ePYKCgvD09OTvv//mjTfeICAggCaN3mD++Gv4VWrHI91+hMMtHrCEc1d28fhhNX6dtyxjjPjkk0+YOXNm7mNEkyZMuHmTpt99x71t2ygUHQ1btpC4fDlHHz7k9KNHL+wYMWrUKPz9/U0eI1JSUnBwcLDaGLF+/Xri4+NNHiO2bt2acR/KHSO2bdvG/fv3TR4j/vzzzwxfchsjKlSowOTJk00eIy5fvkxycnLGGOHi4sLcuXOzjBFlypRh5syZDB48GEdHR8MnHcYvbqkH/vO6LSkpSej1evH7779nuq5fv36iadOm2Wrcvn07Y/ktOjpa+Pj4iFOnTmV7bWJiooiOjs74uXHjhva6zQwsXbrU2i4ogprisLQv5rJnqG5MghAdf336+u2VSULcjDJMK1rEi85iYcbrt2pihAgW4Ub581hEi+viC3FM6MQxgQgWnuK+WC7SRJpRcWSQkiL+6dRJiMKFpVdwIMS77wpx8aJxOhqZUNMzagpqikOtY80L87otNyIjI0lNTaVYsWKZvi9WrBi3b9/Otk1ERARNmzalRo0a+Pv788UXX1C9evVsr3V0dMTNzY2lS5fSoEEDWrRooXgMGlC2bFlru6AIaorD0r6Yy56huq5OsLQrLOoMBRxg13np9dv2Z/JH5qTlRn4W0pn19MYTV85wk7qMYSxbM5U1yU1DjxtlmEFlDuCEL4+5x1U6cIk3SeKq8f1jb09S9+5SPbivvgJ7e6kenI8PfPcdxMYap6cBqOsZNQU1xWErY006NjVJSken02X6LITI8l06tWvXJjg4mFOnTnH69Gl69+6dp37fvn0JDQ3l6NGjivirkZnU1Oyrtj9vqCkOS/tiLnvG6n7WEE4MgRql4F4stJoOQzfA49S8td7Hj7MM4z1qkEIqg1lPUyZymXsG++NCQ7w5QQkC0OFIDNsIpSp2L61EYNzeotTUVHB3l/YrnT4tnX5LSYHx48HLCxYtgrS0PHU0nqKmZ9QU1BSHrYw16djUJKlIkSLo9fosq0Z3797NsrpkCoGBgfj4+FC3bl3FNDWe8u+//1rbBUVQUxyW9sVc9uToVi4Oh76Dnk2l91Sj/oIWUyD02sM82xbFjfX0ZiGfZSprMoe9CIRB/tjhwEsMwYfTuNCMNOJxqjiLc9QnnhMGx5HJlre3lFtp0yYpAeXt29ClCzRoAIcPG6z5oqOmZ9QU1BSHrYw16djUJMnBwYHatWsTFBSU6fugoCAaNWqkmB1tJcm81KtXz9ouKIKa4rC0L+ayJ1c3vwPM7gAruoGLI+y9CD+eeodtIXm31aGjM404wzCa48UjkujFclozk3INfQz2wQkvvNhFWX5Fl1qQeE4QRj0iGEQqj/JsnyV2nQ7efluqATd+PLi6wtGj0LAhfPop3DQuC/iLiJqeUVNQUxy2Mtak89xNkuLi4ggODiY4WKrEffXqVYKDgzOO+A8YMID58+ezYMECwsLC+PrrrwkPD6dXr17WdFvDCNatW2dtFxRBTXFY2hdz2TNV9+N6cPzJ67cH8XpaTYchT16/5UVZPPibr5nM/3DEnr84S8tis1nNMYPt69BRhK7snfUl7rQDUrnDREKpRjTbcm2bY+yOjjBoEFy4IK0mASxbBpUrw+jRkJhHvZYXGDU9o6agpjhsZazJQMZmcquya9cuAWT5+eyzzzKuCQwMFGXLlhUODg6iVq1aYs+ePYr6MHPmTOHt7S28vLy0021mIDEx0douKIKa4rC0L+ayp5RuQrIQny9+nHH6rcl4ISIeGN4+RNwUtURAxgm4T8R88UDEGdw+PY6HYrM4Lco8SUKJuCI6iGSRfdJIg2M/ckSIhg2fnoIrX16I338XIi3NYP9eFNT0jJqCmuJQ61jzwpxua968OUKILD/PFrnr06cP165dIykpiePHj9O0aVNFfdBet5mXCRMmWNsFRVBTHJb2xVz2lNJ1ygdlwsewsrv0+m3fJen0myGv3wB8KMFhvqf5Pjf02LGCI1TjZ7YTmndjnsZRkNb4EEJR+gN2PGA5IVThPouzFN01OPa6deHAAWk1qUQJuHoV2rSBli2lBJUaGajpGTUFNcVhK2NNOi98gVtT0Arcamg8/1y8A/+bC6cipM8/vAkj3gF7A+vU/sNVOrGQC0iZ+vvSnHG0wRkjEtYBjzjKdbqTwGkAXGlBWebgyMtG6WQiLg7GjoWJEyEpCezsoHdvGDECDCjiraFhK2gFbi2IdrrNvKipWKMpqCkOWyk6qaRuulalYnD4e+jdTPp+9F/w6mS4GWWYRn3Kc5KhfEFzAALZTU0COMq1PG0/izN18eYYJRmLDidi+ZsQqnKbcQhS5MXu4gIBARAWBh9+KKUICAyUUgYEBr7wJU7U9IyagprisJWxJh2jVpLWr19PrIJJy1xdXfnggw8U07M02kqSebh16xYlSpSwthsmo6Y4LO2LuewpqZud1qqj8PkyiE2EIi6wtAu0qmq4RhChdGExN3mIHjt+4m0G0wp79Lm2+y+JXCKcXsQ+qf2WnxoUuDeacp5vyYj0GXbulJJRnj0rffb1hWnT4AVNjKumZ9QU1BSHWscai6wkXb16VdGfa9euGWNe4wXhr7/+srYLiqCmOCzti7nsKambnVa7unD8B/ArDZFx8OYMGLw+59Nv/9V4DR9OM4x21CGVNIbxB02YkCkBpSFxOFGRSgRRjkXoKUwCp4j0eJsbDDAoXUCOvPoqnDwprSIVLgwhIdJepTZt4MoV+brPKWp6Rk1BTXHYyliTgVHbvDWEENrpNnNz5MgRa7ugCGqKw9K+mMuekrq5aSUkC9Fn+dPab/7jhbiRzem3nDTSRJpYJg4LN9FPIHoIZ/GlmCf2ZdRuMyaOZHFXXBEdMk7AnRblRbQIMrh9jty/L8SXXwqh10un4BwdhfjhByFiY03Xfk5Q0zNqCmqKQ61jzQtzuk0NaKfbzMuDBw+s7YIiqCkOS/tiLntK6uam5ZQPAj+BVZ9LdeD2XwK/kfDXWcM0dOjoQH1OM4xmTxJQfs5SPmAW94g1Ko58eFKeZUQfH0k+SpPMVS7yGtfowmNM6I/ChWH6dDh1SlpNSkqS8ip5ecHSpS9EiRM1PaOmoKY4bGWsSUebJGmojkePTHidoCLUFIelfTGXPSV1DdFqW0eq/VazNNx/BG/95/VbXhrpCSjH04Z86NnIKarxM3tdrhnt78PrPvgSgidfADrus4gQfIhiTZZ0AUbh6wvbt8OGDVChAvz7L3TqBI0bw5Ej8nWfA9T0jJqCmuKwlbEmHW2SpKE6qlSpYm0XFEFNcVjaF3PZU1LXUK2KReHgd9Dnyem3sVuh+SSIiDJMQ48dg3iDowzGlxLcIYbRjU/Qm+U8Iskof/W4UoYZVGY/TlThMXe4Qlsu8wHJ3DJYKws6Hbz3nrRHacwYcHaWasDVry9l8VZRbTAlUdMzagpqisNWxpp0jJ4kxcTEsGLFCpYsWcK8efNUVVjPUmgpAMzLjh07rO2CIqgpDkv7Yi57Suoao5X++m11D+n124HLUDMAZm44b7BGDUpzjB/oj3SSbDZ7qcWoXFMF5OSvC43wJpiX+BGwJ5qNhODNPeYiMOE1mZMTfP+9VOKkUyfpu0WLpFdw48ZJr+RsCDU9o6agpjhsZaxJx6gUAOfOnWPPnj10794dvV5PUlISQ4cO5b333sPf39+cfqoSLQWAeYiJibGJ/lRTHJb2xVz2lNSVq3XprpR8MvgG6HSCYa11/Nga9Eb8yrnx0TH6Oq/hJg+xx45hOaQKMMTfBM5wje7EI70ac6E5ZZmHExWNji0L//wD/fo9fe328ssweTK88460+vSco6Zn1BTUFIdaxxqLpABYsWIFPXv2RK+XHmRHR0fGjBnDkCFDjJHR0MiV6dOnW9sFRVBTHJb2xVz2lNSVq1WxKBz8Fj73ByF0jNgMrabD3RjDNc5M2cpphtGW2jx+kiqgKROzpAowxN/8VKMKBynFZOwoQBy7CaUatxmPwMRkkfXrw6FDsHgxFC8Oly9Lr+VatYJQw0qwqBk1PaOmoKY4bGWsSceolaSBAwcyadKkLN97e3sTFhamqGPPA9pKkobGi83Sw9BrOcQnQ4lC0mk4fyMWcASC5fxDX1YSQyLOODKNtnSlMTqMX6lJ4irX6UEs0iuIAtSiLL9SAD+jtbIQGyudfps8GZKTQa+Hvn1h+HBwdzddX0PDjFhkJSk+Pp6YmMy/Lv32228ULFgwy7UPHz40RlpDIwM1pdg3BTXFYSulAsxRlsQUru8I4MhgqFIcbj2UNnRP3A55/eqZbluHjo40yJQqoDtLacNs7hGbbZvccKQ8ldhOWRaix514ThBGHW4ymDQSZMcJ7e9x3AAAIABJREFUgKurtKk7NBTefx9SU6UUApUqwZw50ufnDDU9o6agpjhsZaxJx6iVpPDwcIYMGcLChQuxt7dn8eLF9OrVizVr1vD2229nXBcYGMjLL7/M/fv3iYuLw8fHhyZNmmTSSk5OZtOmTXz44YfKRWNhtJUk8/DgwQMKFy5sbTdMRk1xWNoXc9lTUlcJrXSNuETosQxWPkmd9l4NWNQZChUw3HYqaUwmiCFsJIVUiuHGAjrxFtVk+ZvCbW7QjyjWAOBIJcoyD1eaGR1ntuzYIZU4SX/tVrMmzJghpQ54TlDTM2oKaopDrWONRVaSypQpwxdffEGbNm3o27cvXbt2Zfjw4ZkmSAAFCxYkIiKCdu3a0bNnT1JTU5k0aRJRUU8rRjo4OJA/f34OHTpkjAuqQDvdZl5WrlxpbRcUQU1xWNoXc9lTUlcJrXQNFydY3g1++QQc7GHjKag1Co5fN9x2eqqAI8+kCmjNTPqwgniSjfY3H8WpwGpeZgP5KEESF7lAc67Ti1SijY41Cy1bSokop0+HQoWkcif+/tCxI9y8abq+BVDTM2oKaorDVsaaDIxLAC7Ew4cPRbNmzUSBAgXEq6++KlJSUrK9bvny5cLX11d0795dBAUFifj4eBEQECBCQkIyXTd58mRjXVANctOca+TOqVOnrO2CIqgpDkv7Yi57SuoqoZWdxrFrQpT/QSpn4tBHiF92C5GWZpztBJEs+otVAtFDIHoIL/GjWH5hu2w/U0SUuCZ6ZJQ2OSVKiCixUbZeFu7eFeLzz4XQ6aQSJ87OQowdK0RionI2zICanlFTUFMcah1rLFKWJDk5mddff52bN29y9OhRfvjhBz7++GOSk5OzXPvJJ59w7Ngx6tSpw+DBgylWrBi7du3io48+YsaMGaxYsYKff/6ZQoUKKTTd07AVbKXwsZrisLQv5rKnpK4SWtlp1C4rFcl9twYkP4Y+K6DjAohLNNy2E/mYQluC6E9JCnGBO3R6eR2j2EKqjDxI9hSiLHPwYheOVCSFW1zmPa7QjhTuGK2XBU9PmDsXjh6Fhg3h0SMp31LVqvDnn6brmwk1PaOmoKY4bGWsSceoSdK0adNITk7m8OHD+Pj40KJFC/r378/IkSOzvd7JyYmePXty9OhRzp07R48ePfj4448JDQ3lt99+o3Xr1nTp0kWRQDRsh/QUE887aorD0r6Yy56Sukpo5aTh7gwbesP4NlL+pBVHoN5YCL1lnO2WeHOaYbSjDql2gqFs5BUmcZ37svx1pTk+nKYY3wF6olhNCN7cZ7FppU3SqV0b9u+HJUuklAGXLsHbb0s/Fy+arq8wanpGTUFNcdjKWJOO0XmS1qxZg4eHR8Z3jRs35vbt21mu/e/pthIlStC2bVt+/PFHZs2aRceOHSlRooRMtzVsmZdeesnaLiiCmuKwtC/msqekrhJauWnodDDoDdg1QEoPEPYv1B0Dyw4bZ7swzqykOz9fewVXnNjHJWowkpXIq6tmR35KMRZvjpCfmqQSxTU6c4lWJBmY/Tt3A3bw6adS1u5BgyBfPmk1yddXWl2KizPdhkKo6Rk1BTXFYStjTTpGTZL0ej0VK2ZNAvLfneKBgYEcPnyY5cuXM2fOHPbt25elzfvvv8/BgweNdFfjReDo0aPWdkER1BSHpX0xlz0ldZXQMkSjSSU4OQRaVJHyKX26EPqvcyIxxXA7OnQU3RZNMENpSAWiSeATfuVTFhAt82h/AWrhzT+UZCw6nIhhO6H4coepCBQ4zu/qCuPHw5kzUvLJlBSptEnlyrB8ed55EiyAmp5RU1BTHLYy1qRjVAqAcePGUbNmTV5//fWM7+7fv8+sWbMYOnRoxnfLli0jMTGRzp07Y29vz+7duzl+/Dhdu3bF/ZmkY1u2bMHd3Z2GDRsqFI5l0VIAmId79+7h6elpbTdMRk1xWNoXc9lTUlcJLWM0UtPg580wcos0P6hZGtb0hJcNdCHd1mNSGcUWfuZP0hCUw4NldKWxCWVIErnIdT4njj0AOFOfsswnP1Vla2ZCCNi8Gfr3hytXpO8aN5ZOxtWqpYwNGajpGTUFNcWh1rHGIikAvvvuO86cOUNgYCDbt29n0aJFLF++nG+//TbTdR07dqRAgQL4+fnx+eef8/jxY/r06cMvv/xC6DOp7N966y0OHz5sjAuqQEsBYF7mzJljbRcUQU1xWNoXc9lTUlcJLWM09HYw4l3Y2g8K2D3i5A2oPQrWnzTOlj16fuId9jGI8hThGvdpykR+4g8ey1wBcqISXuykDHOww41H/EMYtbjFT6ShQFFbnU6q9xYSImXtLlAADhyAOnWgZ0+IjDTdhgzU9IyagprisJWxJh2jVpKe5e7duxQuXBh7e/scr0lMTGTx4sXMnz+f8+fPU69ePW7dukXv3r3x8PDg0qVLlC5d+rndvK2tJGloaMghIgrazYODl6XPA1rC2DaQz8g9qDEk8CW/sQTpl80GlGcZ3XgZ+b/JJ3OTcPoQzR8AOOFDWebjgoIr/hER8O23kJ7jplAhGDkSevWCXP5P0dCQi0VWkp6laNGiuU6QQDvdpiEPNaXYNwU1xWErpQLUVpZErsaiwAB2D4SBr0mfJ++QSppEROXcJjtbbuRnMV1YSXcKkp/DXMWPkSzmkOzTag6U5GU2UJ5V2FOUREI5T2PC6UcqCm26LlUKVqyAvXuhRg14+BC+/FJ69bZ7tzI2DEBNz6gpqCkOWxlr0pG9kmQqq1evpkmTJqralW8s2kqSeYiPj6dAgRzqOTxHqCkOS/tiLntK6iqhJVfj2XYbgqHzIohOgCIuUubu132MtxXOAz5lAXuRjtq3pTaz6YA7zkb7l85j7hPBQO6zGAAHylCWebjxeh4tjSA1VcqxNHQoPHggfde2LUyYAGXKKGcnG9T0jJqCmuJQ61hjkZWkChUqcPbsWWOa5Ejbtm2f6wmShvmYNWuWtV1QBDXFYWlfzGVPSV0ltORqPNvufT84PkTayB0ZB62mw/BN0kZvY2yVoTA7GcBo3sceO1ZznOqMZDfnZfkIYI8H5VhEJbbhQDmSCecib3CNrjwml2UvY9DroXdvKWVAnz5SCoHVq6FKFekVXGJi3hoyUdMzagpqisNWxpoMjEnPrdPphLu7u9izZ49Rab1tFa0siXk4d+6ctV1QBDXFYWlfzGVPSV0ltORqZNcuIVmInsukcib0EOKNqULci5Vn66i4KiqJoQLRQ+hET/G9+F0kiexLSBnKYxErwkU/cUzoxDGBCBbFRZRYb5Jmtpw8KUSTJlJ5ExCifHkh1q/PWttFAdT0jJqCmuJQ61hjkbIkpUuXpmDBgrzxxhusW7cu22u6du3KyJEjFVtx0njxOHXqlLVdUAQ1xWFpX8xlT0ldJbTkamTXzikfzO4AS7pA/nywLVQ6/Xb0mvG26lCOEwyhO/4IBGPZSiPGcZ6siX8NRY8LpZlGZfbhSGUec5vLfMAV2pPCPdm6WfDzgz17pE3dJUvC1avwwQdSrqWwMOXsoK5n1BTUFIetjDXpGDVJKlasGAcPHqRSpUq0b9+ewMDALNcsWLCAV199laFDh1K5cmUGDx7M8ePHFXNYw/Z5NqP784ya4rC0L+ayp6SuElpyNXJr92kD+GcwVCwK4Q/AfwLM3gOFCxtnywUn5vEp6+hJYZw5Tji1GMU89plUgsSFxvgQTHG+RyptsooQvHnACmVKm4CUMqB9ezh3Dn74ARwcYPt2qF4dBg6E6GhFzKjpGTUFNcVhK2NNOkafbnvppZfYv38/jRs3pl+/fpmSSKbTuHFjNmzYQEBAAJMnT6ZBgwaKOGsu4uPjKVu2LN988421XdEA8ufPb20XFEFNcVjaF3PZU1JXCS25Gnm1q1YSjv0AH/hJRXJ7r4BJJ6oRn7WWeJ60oRan+ZEWVCGeZHqwjDbMJtKEk2p2OFGSMVThH/JTnVTuc5UOXOZdkrkpWzcLLi4wahSEhkp5lh4/hsmTpazdixZBmvHFfp9FTc+oKagpDlsZa9IxapIknhyEc3NzY/v27bz//vuMGTOG7t27k5bNzfq///2PgQMHZvt3amLUqFHUr1/f2m5oPOHChQvWdkER1BSHpX0xlz0ldZXQkqthSLuC+WFdL6lIrp0Otl4uSoOxcPGO8fZK4s52vmIiH5EPPRsIpjo/E0Ro3o1zwZnaVOEoJfgZHfmIZjMh+BDJfOVWlQBefhn++AO2bAEvL7hzB7p0gYYN4Yi8GnagrmfUFNQUh62MNRkYs4HJy8sr0+e0tDTRu3dvodPpxDvvvCPi4+OztLlw4YKws7MzaqOUJblw4YJo06aNWLhwoRg4cKBRbbWN2+YhPDzc2i4ogprisLQv5rKnpK4SWnI1jG2365wQnl8/FvQQwq2fEOtPyjIrhBDipAgX3uIngeghED3EALFaJIpk+YJPiBdnRaioJ44JxDGBOC9aiERxxWTdLCQlCTF+vBAuLk83d3fpIsTt20ZLqekZNQU1xaHWscYiG7dv3rxJaurTtPc6nY5ffvmF4cOHs3nzZlq0aMGD9DwXT6hUqZJiORP27t3LO++8Q4kSJdDpdGzYsCHLNb/88gvly5fHycmJ2rVrZ1tc91m++eYbxowZo4h/GsqwePFia7ugCGqKw9K+mMuekrpKaMnVMLZd88rQueAM/CtCTCJ8MAu+WwePZVQh8aM0x/iBPjQDYDI7qMdYQrhlvNgz5MeXKhykFJPQkZ9Y/iaUqtxlOgIF3yY4OMCgQVLKgE6dpO8WLpRWmKZMkQrpGoianlFTUFMctjLWZGDMjEqn04mtW7dm+3dz584V9vb2wtvbO8vMrkyZMkbN3HJiy5YtYsiQIWLdunUCEOvXZz5++ttvv4l8+fKJefPmidDQUPHVV18JZ2dncf369Wz1NmzYIL755hshhDBoJSkxMVFER0dn/Ny4cUNbSdLQ0LAYyY+FGLD6aZqAZhOF+PehfL1N4pTwFAMFoodwEn3FTLFTpAnTj9oniIvinGiWsaoUJhqJBBFmsm62HDwoRO3aT1eVvL2F2L7dPLY0nlvkriTphw8fPtzQCdWIESMIDg6mQ4cOODk5Zfq72rVrU6NGDX799VdWrlzJ66+/TtGiRQEp2dOXX35p8oSuUqVKvPrqq3h7ezNixAjat29PlSpVMv6+W7dutG7dmmHDhuHp6UmrVq1YunQpcXFxtGzZkunTp9OzZ09mz55N165dWbZsGStWrGD69Ols3ryZo0ePkpKSQrNmzbK1HxAQQKtWrRg7dixjx45lypQpALRr144lS5ZQp04dxo4dS9OmTQkICKBixYqsXr2a1NRUzp49y+nTpxFCsHLlSry9vZkwYULGtVWrVmXBggU4OTnxzz//cOnSJeLi4vjjjz8oW7YsU6ZMybi2Tp06TJ8+HQ8PD3bu3Mnt27e5ffs2f//9Nx4eHsyYMSPj2saNGzNu3DjKlCnDpk2biI2N5cqVKxw+fBhHR0cWLFhA7dq1M/nt5eXFypUrSUtL48yZM5w5c4bU1FRWrVpFlSpVmDhxYsa11atXZ/78+eTPn59Dhw5x5coVYmJi2Lx5M6VKlWLq1KkZ19atW5fp06fj6enJjh07uHv3Lrdu3WL37t24u7szc+ZM/P39ee211+jYsSOjR4+mXLlybNy4kbi4OC5dusSRI0dwdHRk0aJF1KxZk3HjxmXoV65cmRUrVgAQHBxMSEgIKSkprFmzBi8vr0x+16hRg3nz5uHs7MyBAwe4fv06UVFRbNmyhZIlS2byu169ekyZMoWiRYsSFBREZGQkERER7Nmzh0KFCjFr1iwaNWrE6NGjM9qUL1+eLl26ULp0aS5cuMCxY8ewt7dn8eLF+Pn5ZfLb29ubZcuWYWdnx4kTJzh37hxJSUmsXbuWihUrMmnSpIxr/fz8mDNnDq6uruzbt4/w8HCioqLYunUrxYsXZ9q0aRnX1q9fn8mTJ1O8eHF69eqFp6cnN27cYN++fbi5uTF79mwaNGiQye8KFSqwbt06kpKSCAsL48SJE+j1epYuXUq1atUYP358xrU+Pj4sWbIEe3t7jh07xvnz50lISGD9+vWsX7+eQ4cOZVxbs2ZNZs2ahZubG3v37iUiIoLIyEi2b99OsWLFMvndsGFDJk6cSIkSJdiyZQsPHz7k+vXr7N+/n0WLFhEcHEz9+vUZM2ZMpmdtzZo1JCcnExoaSnBwMADLly/H19c307Pm6+vL4sWLWbRoEWlpaVy8eJH4+Hg2bNhAuXLlmDx5csa1tWrVIjAwEHd3d3bt2sWtW7e4d+8eQUFBeHp60qZNGzp16kRAQACNGjVi/PjxlCpVis2bNxMdHc3Vq1c5dOgQBQoUYP78+RljxN69e9m7d69RY8TWrVu5eOEc79Zywi01nBN3i3Ep0o75ux/h6/mINQsnGT1GrA6Yx+zGA9h89SB3CiexhbNse3CSwifiOXXwuOwxYurEBXzQdD5BW05SrOItknWXuZc2j7DQC5w7no+YmDiTxohRo0bh7+8vjRH+/vzh6YlzlSq4nD2LPiICli7l4rp1OL/yCmPnzMlxjPjpp5/w8vKy2hixfv164uPjTR4j3nnnnYz7UO4YsW3bNu7fv2/yGPHWW29l+JLbGFGhQoVMz5rcMaJHjx4UL148Y4xwcXFh7ty5WcaIMmXKMHPmTAYPHoyjo6PhEw9jZlT9+/cXZcuWFRUrVhSbNm3K9pp9+/YJd3d3UahQoYykkxUrVjRq5mYI/GclKSkpSej1evH7779nuq5fv36iadOmeeppK0nq4fHjx9Z2QRHUFIelfTGXPSV1ldCSqyGn3X/bnPtXCJ+fpBUlfS8hJgfJz7eYJtLEDLFTOIo+AtFDFBUDxZ/itDyx/5AkrosLolXGqlKoqCUeiWBFtLPw4IEQ/foJoddLq0pOTkIMHy5ENvtlhVDXM2oKaopDrWONRfYkTZkyhWvXrrF27VpOnjxJhw4dslzj7+/Pvn37cHZ2plWrVqxbtw6dTmeMGVlERkaSmppKsWLFMn1frFgxbt+Wn0DtWRwdHXFzc2Pp0qU0aNCAFi1aKKKrkZnx48db2wVFUFMclvbFXPaU1FVCS66GnHb/bVO5OPzzPXxcVyphMmANtJ0LsTKqeOjQ8QWvcIwfqEZJ7hJLa2byJStJQEbegWdwoAwV2UI5FqPHnXhOEEYdbjGMNJJM0s6CuztMmwbBwfDKK1JJk+HDwccHNmyQXsg9g5qeUVNQUxy2MtZkIGfmZgjh4eHC29tb2NvbCycnJ8X1+c9K0s2bNwUgDh48mOm6gIAAUblyZcXtC6GdbjMX165ds7YLiqCmOCzti7nsKamrhJZcDTntcmqTlibEjJ1C5OstrSpV/lGIszdluSWEECJBJIuvxaqM028+4icRLJQ5sZQs/hWXxIcZq0pnhY+IE4cV0c5CWpoQq1YJUarU0/1Kb7whxDNlLNT0jJqCmuJQ61hjkZUkYyhdujQHDhygbt26JCeb9puIIRQpUgS9Xp9l1eju3btZVpdMJTAwEB8fH+rWrauorobE3r17re2CIqgpDkv7Yi57SuoqoSVXQ067nNrodPDFK7BnIJQsBOfvQL0xsFJm+iAn8jGZtmylH8VxI5R/qcdYprCDNBNPqeWjOC+zlgqswZ6iJBLKORpxg4GkEW+SdhZ0OmjbViplMniwdCpu2zaoVg2+/x7i4lT1jJqCmuKwlbEmHbNNkgDc3d3ZuXMnX3/9tTnNAODg4EDt2rUJCgrK9H1QUBCNGjVS1Fbfvn0JDQ3l6NGjiupqSJQvX97aLiiCmuKwtC/msqekrhJacjXktMurTcOX4eRQaFEF4pPhk1/hy5VSxm45vIEvpxnGu9QgmccMYA2tmM6/mF4SxJ2P8CWUwnQE0rjLZEKpTix7TNbOgosLjB4NZ8/Cm29KKQLGjYPKlal7+XKWV3DPI9pYYz7MOkkCcHJyYuLEiYpoxcXFERwcnHFy5erVqwQHBxMeHg7AgAEDmD9/PgsWLCAsLIyvv/6a8PBwevXqpYh9Dcvw+LHMUV1lqCkOS/tiLntK6iqhJVdDTjtD2ni6wravYMib0ueZu6HZRLjxINdmOevhygZ6M5sO5CcfQYRRnZ/ZzGl5gs9gjwflWUpF/iQfpUjiMhdoznV6k0qMyfpZqFQJ/vxTytxdoQLcukWVESOgeXM4bXo81kQba8yH2SdJSnLs2DFq1qxJzZo1AWlSVLNmTYYNGwZIR/GnTp3Kzz//jJ+fH3v37mXLli2ULVtWUT+0123mRamN9tZGTXFY2hdz2VNSVwktuRpy2hnaRm8HAe/Dpr5QqAAcvgq1RsGOMKNNAtKm7p405QRD8aM0kcTxDoH04zcSMTxxY04U5C18CaEIPQGIZDYhVCWarSZrZ0Gnk2rAhYTAyJE8dnCAvXuhVi346it4+FB5mxZAG2vMh04Iw9ca169fT2xsrGLGXV1d+eCDDxTTszQxMTEULFiQ6Oho3NzcrO2OzXDx4kUqVapkbTdMRk1xWNoXc9lTUlcJLbkactrJaXPlHnw0B07ekOYHI9+Fwa3ATuavx0mkMJj1TOFvAKpRkpV0x5cS8gT/Qyy7uEZ3krkCQGE6UZop2FNYEf3/cnX3bsrPnAnr1klfeHrC2LHQubP8TrIC2liTtz25/18bdRdcvXpV0Z9r164ZY17jBSG7cjPPI2qKw9K+mMuekrpKaMnVkNNOTpsKnnDgW+jaWNp6M3QjvPcLRD0yWgoAxyebuv/iS4riyhluUofRzGKPIgVtXXkFH05TlK8BHQ9YQgg+RLHOZO3sWHv0KKxdC0FBUKUK3LsH3bpJhXOfoz2n2lhjPoxaSdKQCAwMJDAwkNTUVC5cuKCtJClMYmJilozuzyNqisPSvpjLnpK6SmjJ1ZDTzlR/f90PfVdC0mMoXwTW9YSaZWTLcYcYOrOIrYQA8D5+zOdTPHCRL/oMcRziOt1IRHpPWIiPKMNM8qHcaeVMfZqcDDNmSHmV4uKkpbdu3aRN356eitk0B9pYk7c9i6wkaUhop9vMi1Ib/a2NmuKwtC/msqekrhJacjXktDPV327+cPA7aYJ0NRIajoMFB+TrFcONP/mCKfwPB+zZQDDVGckuzpvkZzouNMSbkxRnCKDnIWsJwYf7LFNk1Qr+06cODjBwoFQ4t2NHaelt/nypcG5gIKhoc/R/0cYa86GtJJmAtidJQ0PjeSPqEXy6EP48I33+3B9mtAfHfPI1TxLOx8znPHfQoeN73mAE75IPvSI+xxPMNbqSwEkA3HiLsszBgVKK6GfL/v3wxRdw6pT0uUYNmDkT/P3NZ1PDbGgrSRZEO91mXgICAqztgiKoKQ5L+2Iue0rqKqElV0NOO6Vid3eGP/pIm7h1Opi3H5pMhHCZaQIAalKG4wzhc/wRCMawFX/Gc5l7ivhcAD+8+YcSjEaHAzFsIQRfIplv0qpSrn3q7w/Hj0urSO7u0mSpSRNplenWLdk2zYE21pgPbSXJBLSVJPNw+/Ztihcvbm03TEZNcVjaF3PZU1JXCS25GnLamaNPt4VISScfPIIiLvBbd2jhbZrmWo7zOct4SDyuOPELH9ORBso4DCQQxnW68ojDALjyGmWZhyPGp3oxuE8jI2HIEJg3T3oN5+ICP/0E/fpJr+msjDbW5G1PW0nSsBk2bdpkbRcUQU1xWNoXc9lTUlcJLbkactqZo0/f8IVjP0DN0hAZB69Pg3FbTUtC/RG1Oc2PNKUSsSTyKQvpyK/EkKCIz/nxpjL7KcUkdDgRSxChVOUesxBGlk0xuE+LFIE5c+DIEahfX9rYPWiQ9AruP1UerIE21pgPbZKkoTr8/Pys7YIiqCkOS/tiLntK6iqhJVdDTjtz9Wn5IlKagM4NIU3A9+vhw9kQY8KcpjSF2ckAfuZd9NixnCP4EcDhJ/mPTEWHnmIMwIdTuOBPGnGE04eLtCTJCBtG92mdOnDwICxYIJ14O3cOXn8dPvwQrl83Mgrl0MYa86FNkmSg7UkyL/fv37e2C4qgpjgs7Yu57Cmpq4SWXA057cz5b5jfARZ8BrM7QD49rA+WiuSGmrD1Ro8dP9KavXxDWTy4SiT+TGA0W0g1sVBuOk544cUeSjMNOwoQyy5CqcZdZhi0qiSrT+3soEsX6RTcV1+BXg+//w7e3jByJCQmyojENLSxxnxokyQZaCkAzEtCgjLL8tZGTXFY2hdz2VNSVwktuRpy2pn731Cng55NYd8gKFkIzt+BemNhzXHTdBvxMsEMpT11SSWNIWykJVOIIEoZv7GjKP3w4TQuNCeNeG7Qjws0J5GLubY1qU8LFYKpU+HkSWjWDBISYNgw8PWV6sNZcLuvNtaYD22SpKE61JJe31TUFIelfTGXPSV1ldCSqyGnnaX+DeuXhxNDoLkXPEqCtnNh0Fp4nCpfsxAFWEE3FvIZzjiymwvUYCQbCFbMb0dexou/KU0gdjgTxz5CqcEdJiPI3nlF+rRaNdi1C377DUqWhCtX4L33oHVruJj7JE0ptLHGfGiTJA3VsWvXLmu7oAhqisPSvpjLnpK6SmjJ1ZDTzpL/hkXdIKg/DHpd+jwxCF6bCndj5Gvq0NGZRpxkCLUpwwMe8QGz6MVy4klWxG9pVakPPpzFlZYIEohgIOdpQiLnslyvWJ/qdNCunbRH6fvvIV8++OsvqFoVBg+WNnqbEW2sMR9aCgAT0FIAmIfo6GgKFixobTdMRk1xWNoXc9lTUlcJLbkactpZ635aexy6LIa4JOk13Nqe0KCCaZrJPGYoG5nAdgB8eImVdKe6gskhBYJI5hPBQNKIRYcjJfiZYgxAhz1gxj5N36+0dav0uWRJmDQJ2raVJlQKo401edvTUgBo2AwzZsywtguKoKY4LO2LuewpqauEllwNOe2sdT99VBuODIbKxeDmQ2g6EWbvMW3LjQPLxikWAAAgAElEQVT2jOdDguhPcdwI5V/qMYbp7FSs5IgOHZ58ji8huNEKQRI3+Y5zNCLhSb05s/Wplxds2QIbN0L58nDzJrRvD6++CmfPKm5OG2vMh7aSJAOtwK2GhsaLRkyCtKL0u1QZhM8awqxPpJNxpnCPWLqymM1IdVJaU42FfIYnriZ6/BSB4D6LiaA/qUSjw4GXGEZxvkWHCfVYDCEhASZMgDFjpJNvej18+aVUSFclqz8vAtpKkgXRTreZFzWl2DcFNcVhK6UCtLIk1sMtv/SqbVwbsNPB4kPQeLxULNcUPHHlD/oyg/Y4Ys+fnKE6P7OdUGUcR1pVKkJnfAihIG8jSOYWQ9n1bzniOa2YnWzJn1869RYWBm3aQGqqdCrOywsWLYI009MhWPveeBZbGWvS0VaSTEDbk2QeHj58SKFChazthsmoKQ5L+2Iue0rqKqElV0NOOzXdT3+HQfv5UpZu9wKwsruUvdtUThPBx8wnlH8B+IbXGMX7ODzZQ6QEAsEDlnODfqQSBdjzEkMpzmDssECJke3bpXIm589Lnxs0kArn1q4tW1JN94ZaxxptJUnDZli2bJm1XVAENcVhaV/MZU9JXSW05GrIaaem+6mFNxwfAnXLQVQ8vDkDAv40fVGkOqU4xg/0phkAEwmiIeO4wB3TnX6CDh0edMSXUB5crg485l+Gc466xHNCMTs58vrrcPq09ArOxQUOH4a6daFnT6lGnAzUdG/YyliTjjZJ0lAdzZo1s7YLiqCmOCzti7nsKamrhJZcDTnt1HQ/AZQpDHu/gR5NpE3cP/4B78+Ch/Gm6ebHgV/4hPX0pjDOnCCcWoxiIQcU29QNkI/iFItfSnlWoseDBE4TRj1uMpQ0khSzky0ODvDNN9JqUocOUgfOnQuVK8Ps2dIrOSNQ071hK2NNOtokSUN1XL582douKIKa4rC0L+ayp6SuElpyNeS0U9P9lI5TPpjTEX7tBI72sOk01B0DZ26arv0+fpziR5rjxSOS6MoS2jOPh5g4C3uGK5evUJj2+BKKO/8DUrnNKMKozSMssOe0RAlYtgz27oXq1eHBA+jdWyqie/iwwTJqujdsZaxJR5skaagOBwcL7AuwAGqKw9K+mMuekrpKaMnVkNNOTffTf+naGPYPklaXLt2F+mNgxRHTdUvhzg6+ZjTvo8eO1RzHjwAOosx/jOl9mo+iVGA1FViDPZ4kEsI5GhDB96RhgVpsTZrA8eMwfbp04u34cWjYELp1g3v38myupnvDVsaadLRJkgy0ArfmpVixYtZ2QRHUFIelfTGXPSV1ldCSqyGnnZrup+yoU07ap/SaNySkQIdf4atVkGJCOROQCuUO5k0O8C0VKMJ17tOUiYxSoFDuf/vUnY+erCp9DKRxh3GEUZM4DplkxyDs7aXUAOfPQ+fO0ncLFkin4AIDc30Fp6Z7w1bGmnS0SZIMtBQA5uX48f+zd95hUR3rH/8soCAIFkQIKMUOWEBsUTRqTGKMJaaZxJtq1CTenzEm8cZUk6BiAxuKisZurFgIV8WOxhJFEhVrbFhQsVCkw/n9sbpXIiicPWf3sJnP8/g87nLm+37f2dlhmDNnxsgTNTWClvIwtRe14impq4SWXA055bTUnkqjVlX471D46nn966nboGsYXE0zXrstPhzmG964d1DuN6zjGSZzhTuyNUuqUxtqUY+l1GctNriRwwlO0oFkPqNIwVt9peLqCj//DHv2QEAA3LkD//43tGoFv/1WYhEttQ1L6WvuI7YAMAKxBYA6XLt2TVN/GclFS3mY2ota8ZTUVUJLroacclpqT2VhXSK8/TOk54Cbk36PpQ4NjNeVkJjPb/ybX8gij1pUZT7v8gLNyq31uDot4BbJfMotFgJgSwO8mIcjHWX7LxeFhTBrFnz9tX6wBPDOOzBunH4wdQ8ttQ2t9jViCwCBxTBnzhxzW1AELeVhai9qxVNSVwktuRpyymmpPZWFPgHw+1fg7w4p6dAlDGbsMO44E9A/wv8eHTjE17SgDqlk0pPpfMoKcskvl9bj6tSGmviwgAbEUAkPcjnDKZ7iIkMp5K4xaZQNa2v4+GP9WXADBujfW7BA/xTc1KlQUABoq21YSl9zHzGTZARiJkkgEAgeTWaO/jiTVfe2IHqvPcx4U/9knLHkkM9/WMNUtgEQSF1+YSCNUH4mo4A7XOIzbjIPgMr44M1cHOmieKxS2b8fhgzRL+wG/RNx06frF34LHomYSRJYDFraYt8YtJSHpRwVII4lqXhUtYMVg/53nMnPv0HHCXDxlvHadlRiCv1Yz8c448BhkmnJaBawt0x7KpWnTm2ojjdzacBGKlGXPM5xiq5c5GMKyTAmjbLTtq1+oBQZCTVr6jel7NSJIwEBcPWqaTw8Bkvpa+4jZpKMQMwkqUN2djZVqlQxtw2j0VIepvaiVjwldZXQkqshp5yW2pNc4pL0x5ncuqtf5L1iEHRprIz2ZW7zL+axg1MA9KcNM+mPI3allpFbp4Wkc4kRpDILgMp44UUUTnSTZ14ON2/CV1/BnDn6e5iOjvDDD/pF3pVUPrT3EWi1rxEzSQKLYcaMGea2oAhaysPUXtSKp6SuElpyNeSU01J7ksszfnDoKwioqz/37ZnJEBZn/DolAI97eyr9RG+s0LGEAwQSwkHOl1pGbp1a44QXkTRkC5XxJo8LnOYZLjCQQhR4lK8sODvrF3Xv38/VunUhIwOGD4fAQNi50zQeSsBS+pr7iEESYGNjQ0BAAAEBAXzwwQfmtvOPp3fv3ua2oAhaysPUXtSKp6SuElpyNeSU01J7MgbvWrBnBPyrLRQWwWer9Hsq3VXgJBBrrPiGF9jF53hSk7+4QXvGM4k4ikrYU8nYOnXiafw4ggv/BiCVKI7RlDT+a5RuuWjdmsy4OP2MkrMzHDsGnTvDm2/ClSum83EPS+lr7iMGSUD16tVJTEwkMTGRqKgoc9v5x5OQYIJDJk2AlvIwtRe14impq4SWXA055bTUnozFvjIsfA+m9gMbK1j2O7QfD389fnPpMtGBBiTyDS8RSD6FfM4qXmA610gvdp0SdWpNVTyZRiN2YEt98rnEGXpwngEUGLGHU3lISEyEDz7QPwX30Ueg08GyZfqn4CZOhPzyPfVnlBcL6WvuIwZJAs3h4uJibguKoKU8TO1FrXhK6iqhJVdDTjkttScl0Ong/7rC1k+htiP8eQlajYGNR5XRr4EDqxhMJP2xoxIbOUYLfiKOJMM1StapI0/hyx/UZhig4ybzSDLRrJIhj5o1YcYMOHgQ2rWDzEz44gto0QK2bVPdRzEvJkLteBVukLRr1y569eqFu7s7Op2OtWvXPnTNjBkz8PHxwc7OjqCgIOLj4x+pmZ6eTlBQEMHBwew0471cgR5bW1tzW1AELeVhai9qxVNSVwktuRpyymmpPSlJp0b640za+sCdLOgxHcbEKrNOSYeOwXTid0bijzvXSOdZpvAla8inUPE6tcaBuoTTiJ3Y0oB8LptkVumhPFq21O/YPW8euLjA8ePw9NPQrx9cuqSajxK9qIza8SrcIOnu3bu0aNGC6dOnl/jz5cuXM2zYML7++msOHz5Mx44def7557l48WKpmufPn+fQoUNERkby9ttvk56eXuJ1ubm5pKenF/snUB4tnWhtDFrKw1JO5lZSVwktuRpyymmpPSlNnRqw8zMYGKwfHH29Dl6OhPRsZfSb4sEBRjKYTgCMYxMdmcC+a8eUCfA3HOmInwlnlUpsG1ZW8N57+rPg/v1v/esVK6BJE/2O3Xl5pvOiImrHsx41atQoVSMoTMOGDenatSu+vr788MMPvP766zRp0sTw8wEDBvDCCy/w3Xff4eLiQvfu3Vm0aBGZmZl069aNqVOnMnjwYCIjI3n//fextrbG0dERgNq1a7N582ZatGiBu7v7Q7FDQkLo3r07oaGhhIaGEh4eDkC/fv1YuHAhrVq1IjQ0lE6dOhESEkKDBg1YsWIFhYWFHD16lD///BNJkli2bBm+vr5MmDDBcG3Tpk2ZN28ednZ27N+/nzNnzpCZmcn69evx8vIiPDzccG2rVq2YOnUqzs7ObNu2jZSUFFJSUti6dSvOzs5MmzbNcG2HDh0YN24cnp6ebNiwgYyMDM6ePcu+ffuwtbVl3rx5BAUFFfPdqFEjli1bRlFREUeOHOHIkSMUFhayfPlymjRpwsSJEw3XNm/enKioKKpUqcLevXs5e/Ys6enpxMTEUKdOHSZPnmy4tnXr1kydOhUXFxe2bNnC9evXuXLlCjt27KBGjRpMnz6d4OBgFi9eTLdu3RgzZgze3t6sW7eOzMxMzpw5w4EDB7C1tWX+/PkEBgYybtw4g37jxo1ZunQpAImJiRw7doz8/HxWrlxJo0aNivlu0aIFc+bMwcHBgT179nDhwgVu375NbGwsHh4exXy3adOG8PBwateuTVxcHKmpqVy6dImdO3dSvXp1Zs6cSfv27RkzZoyhjI+Pj+Fsv1OnTnHw4EFsbGxYsGABAQEBxXz7+vqyePFirKysSEhI4MSJE+Tm5rJq1SoaNGjApEmTDNcGBAQwa9YsHB0diY+P5+LFi9y+fZuNGzfi5ubGlClTDNe2bduWsLAw3NzcOHr0KNnZ2SQnJxMfH4+TkxORkZG0a9eumO969eqxevVqcnNzOX78OAkJCVhbW7No0SKaNWvG+PHjDdf6+fmxcOFCbGxsOHjwICdPniQ7O5vo6Ghat25NVFSU4drAwEBmzpyJk5MTu3bt4tKlS6SmprJ582ZcXV2L+X7yySeZOHEi7u7uxMbGcufOHS5cuMDu3bvx8fFh2bJltG3blrFjxxb7rq1cuZK8vDySkpJITEwEYMmSJfj7+xf7rvn7+7NgwQI8PDw4ceIEp0+fJisri7Vr1+Lt7U1YWJjh2pYtWxIREUGNGjXYvn07V65c4caNG8TFxeHi4sK6det49tlnCQkJoX379owfP546deoQExNDWloa586dY+/evdjb2xMVFWXoI/r06cO0adPK1Uc89dRTrFq1ymL7iNCxIfz4QWtOJmzndI4Px67qWLrnLm4FRzm8N65YHzF69GiCg4PL1UeMCxnLZ41fJWPvBU553eWs1U121b9O5cs5HF60TfE+4vKlayTurEID1ze4lbcN6yrXuMUS8kgmcsIBvDwbER0dTVZWltF9xKpVqwzt8KE+4sYNbrdrxwE3N+plZWFz/jxs2UJqZCQ2/v5MWrsWNzc3Nm3axM2bN43uI5YvX27w8qg+ol69esW+a3L7iD/++IO8vDxDH1G1alVmz579UB/h6enJ9OnTGTlyZPlmn6QKDCBFR0cbXufm5krW1tbSmjVril03dOhQqVOnTiVq3Lp1S8rJyZEkSZKSk5MlT09P6ebNmyVem5OTI6WlpRn+JScnS4CUlpamUEYCSZKkkJAQc1tQBC3lYWovasVTUlcJLbkacsppqT2pzb6zkuQxQpIYJEmOQyVp7WFl9c9LqVJ7aZyENEhCGiS9Ly2QMqUcZYM8QKF0V7oofSIdlHTSQQnpD8lDuiP9VzH9MreNoiJJWrBAklxdJUk/aSdJL78sSRcumN6LieOlpaXJ+n1doTeT1Ol0REdH8+KLLwJw5coVPDw82LNnD+3btzdcN2bMGBYsWMDJkycf0vjtt98YPHgwVlZW6HQ6Ro0aZdArjYiICCIiIigsLOTUqVNiM0mFKSoqwsqqwt0Jfggt5WFqL2rFU1JXCS25GnLKaak9mYJr6fDqLIg/o3/9TQ8Y1QusFaqCAgoZJW1gjG4jEhKNceUXBhJAXWUClEAG8VzgPXLR3yJy5n3qEoY11YzSLXfbSEuD77/XH2lSWAj29vpDdD/7DIxc46PVvkZsJvkAOp2u2GtJkh567z7t27fnyJEj/PHHHyQmJj52gAQwZMgQkpKSDLdTBMoyZswYc1tQBC3lYWovasVTUlcJLbkacsppqT2ZAlcn2DochnbVvw6JhV4RcFuhc2VtsMZu9FG28inuVOck12hLKNPZXqYjTeSgX6v0J7X5hPtrlfT7Km00SrfcbaNaNZg8GRIS9Oe+ZWXpB0nNmsFGE3sxErXjWdRMUl5eHvb29qxcuZK+ffsarvvkk09ITExU7Mk1MZOkLpbyF7OW8tDqX3fm1BUzSRWHxftg4GLIyYf6LhD9ETTzMF73fp2mksl7zCeGIwD0pgXzeBtnqhofpBSUnFUyqm1IEixdCp9/Dikp+vdefBHCw8Hb27ReZCBmkspB5cqVCQoKIi4urtj7cXFxxW6/GYuYSVKXsWPHmtuCImgpD1N7USuekrpKaMnVkFNOS+3J1PyrnX6Xbi9n/YaT7UJhuQLd7/06rUVV1jOEKfSjMjas5w9a8BM7750DpwZKzioZ1TZ0OujfX/8U3PDhYG0Na9eCry/89BPk5JjOiwxUj1fONVJmJyMjQzp8+LB0+PBhCZDCwsKkw4cPSxfuLTz75ZdfpEqVKklz586VkpKSpGHDhkkODg7S+fPnFfcidyGY4NFcUHARoTnRUh6m9qJWPCV1ldCSqyGnnJbak7lIzZCkbuH6Bd0MkqTPVkpSfoF8vZLqNEG6IDWSvpWQBklW0mDpO2mdlC8ZEaQMpEu7pCNSfemghHRQQjonvS8VSHfKXF7RtnH0qCR17vy/hd3160tSTIx5vCgYT+7v6wo3k3Tw4EECAwMJDAwEYPjw4QQGBvLdd98B+sfxJ0+ezI8//khAQAC7du0iNjYWLy8vxTxERETg5+dH69atFdMU/I8dO3aY24IiaCkPU3tRK56SukpoydWQU05L7clcOFeFjUPhP8/pX0+Kg+em6A/LlUNJdRqIJ4f4ind5kiIkfuRXuhDGRW7JN/4YSp9V2lSm8oq2DX9//e7cy5aBuzv89Rf07Am9e8PZs6b1UgbUjlfhBkmdO3dGkqSH/s2fP99wzccff8z58+fJzc3l0KFDdOrUSVEP4nabutSvX9/cFhRBS3mY2ota8ZTUVUJLroacclpqT+bE2gpCX4IVg8DBFradhKDRcOhC+bVKq9Oq2PEz77KEAThix27OEMBPRHPYSPelY4U9dZn8tzPgunOeDygk7ZFlFW8bOh28/jqcOKE/1sTGBjZsAD8/GDUKskvf5dNS+pr7VLhBksDyyc1V4DhwDaClPEztRa14SuoqoSVXQ045LbUnLfBqEOz7DzSoDRdvQYfxsGBv+TQeV6dv0obDfENrvLlNFi8RyccsJRt1dqsGcKTTvTPghgJwk7mPnVVSrW04OsL48fDnn/pjTXJz4Ycf9LNN69eXeHaMpfQ19xGDJBmI223qcuOGQkeBmxkt5WFqL2rFU1JXCS25GnLKaak9aYWmHvD7SOjZDHIL4N358O9lkFdQtvJlqdP6uLCbL/iCZwGYyU7aEkoSV4xw/mj0Z8BNuXcG3ONnlVRvG76+EBenP9bEwwPOnYM+ffS34c6cMa2Xv6F2PDFIkoG43aYuLVu2NLcFRdBSHqb2olY8JXWV0JKrIaecltqTlqhuD+s+hu976l9H7ICnwyHl0XeogLLXaWVsGM/LbGQotXHkCJdpxRhms0u1PZWg7LNKJmkbOh28+qr+FtyXX0KlShAbq59V+vZb/V5LpvLyAGrHE4MkgeZYv369uS0ogpbyMLUXteIpqauEllwNOeW01J60hpWVfjfu9R+Dkx3sPgMtR8Pex5x9Wt46fQ5//uBbnsGXbPIZzBL6MYc7ZBnh/tGUZVbJpG2jalUYOxaOHIFnn9UflBsSol+vFB3N+nXrTOcF9XOv0JtJmguxmaS6ZGdnU6VKFXPbMBot5WFqL2rFU1JXCS25GnLKaak9aZlT16DvTEi6CpWsYcab8EFwydfKrdMiiphEHF+xlgKK8MaZXxhIW3yMdP9oCrnLFb7iOlMBqEQdvIiicnYn87QNSYLoaBg2DJKT9R67dcM6IgIaNTKJhbJ+hmIzSRMibrepy6RJk8xtQRG0lIepvagVT0ldJbTkasgpp6X2pGUaucK+L+GlQMgvhIGL4KMlJa9TklunVljxBc+xhxH4UIvz3CSY8UxgE0UUGZlB6Tw4q1SZeoZZpU0nOj72CThV0OngpZfg+HH9sSaVK2O9ZQs0bQpffQV3FTpD5hGo/b0QM0lGIHdkKhAIBAJ1KSqCsRvh23sPYXWoD6sGg5txZ8k+RBrZDGIRKzgEQHf8WcC71Ebd3wmlzSpV4zlV4z6S06fhk0/gv//Vv65bF8LC4OWX9QMqMyJmkgQWQ0hIiLktKIKW8jC1F7XiKamrhJZcDTnltNSeKgJWVvB1D9gwBKpVgT1/QdAY2H/uf9coUafVqMIvDGQ2/8KOSmzkGC34iW2cMFr7UTw4q5R1u4ZhVukCA80zqwTQsCEhTz6pP9bEy0t/C+7VV/Vrl06oUx9qfy/ETJIMxJokdbl27Rqurq7mtmE0WsrD1F7UiqekrhJacjXklNNSe6ponLoGL86E41ehsg3MfBPe76B8nR7lMv2YQxJX0aHja57ne3pig7ViMUri6rWzFLhOKTar5M1cnO5tW2BKDHWalQXjxun/5ebqn4YbPhy++Ua/+FvpeI9BzCSZELEmSV3WmfjpCLXQUh6m9qJWPCV1ldCSqyGnnJbaU0Wjkat+48kXA/RrkwYshCFLYXX0BkXjNMWD3/mKAXRAQiKEWLoSRrKKR5oAbFi35aG1Sqd57t6sUrqqsf+OoZ3a2+s3njx2DF54AfLz9QMmX19YubLEjSiNiqcSYpAk0BxBQUHmtqAIWsrD1F7UiqekrhJacjXklNNSe6qIOFWB1YPhx9761zN2wpyr/bim8BjCnspE8TZL7x1pEs8ZAghhPX8oG+gB7rcNRzrdOwNOv69SKlEcoynpbFYtdmleDNSvDzEx+h26vb3h0iV47TXFbsGp/b0QgySB5rh27Zq5LSiClvIwtRe14impq4SWXA055bTUnioqVlbw7Qv/208pMcWRoNHw+3nlY71BGxL4miA8ucVd+jCDYSwnl3zFYz3YNh5+Ai7ZpLNKpbbTXr0gKQm+/x5sbWHLFmjeXL8xZabME4ofFU8hxCBJoDny8tQ7F8mUaCkPU3tRK56SukpoydWQU05L7ami06sFHBgJHg4ZXL4DHSfA/N+Uj9OA2vzGf/iUpwGYwjbaM57TKPuLvaS2cX9WyYX/A0w3q/TIdlqliv6AXAVvwan9vRCDJIHmsJTTzrWUh6WczK2krhJacjXklNNSe7IEGrvByv4X6d1Cf+7bewvg/5bp91ZSksrYEMZrbGAIzjiQwEVaMpqlHFAsRmltwxoHPJlKI3aYbFapTO1UwVtwan8vxCBJBuKAW3XZuXOnuS0ogpbyMLUXteIpqauEllwNOeW01J4shUN7txP9IYy6d+7b9B3QLRyuqzB+6ElzEvmWTjQkk1z6M5cBLOQuxp9i/7i24chTJptVKlc7vX8L7rvvit+CGzmyzBtRqv29EFsAGIHYTFId7ty5Q/Xq1c1tw2i0lIepvagVT0ldJbTkasgpp6X2ZCk8WKfrEuGtnyEjB+rWgDUfQitv5WMWUMhP/MpPxCIh4csTLGcgzfCQrVmetpHBTs7zPnmcBaAWA6nDRKwV2vxSdjv96y8YOlR/aC5AnToQHv7YjSjLGk9sASCwGKZPn25uC4qgpTxM7UWteErqKqElV0NOOS21J0vhwTrtE6Bfp9TIFZJvQ/AEWLhX+Zg2WPMDvdnKpzxBNY5zlTaMZRa7kJA3Z1GetvHwrNIcRWeVZLfT+7fg1q373y24V1+F556DkyeVj1dGxEySEYiZJIFAILAs0rLhX3Mh5oj+9SddYcIr+sNyleYGGbzDfP7LUQBeJYjZ/Ivq2CsfrATUnlWSTXY2hIYW34jys8/0G1E6OMiSFDNJAovBUo5f0FIe4lgSdbTEsSQVm5LqtFoVWPexfqsAgCnb4NnJcCND+fguOBLDECbwMjZYsZJDBBLCAc49vvADyG0bJc0qJdGMdLbK0jPGSzGqVPnfRpQ9euifggsN1T8Ft2pVsafgxLEkGkbMJKlDWloa1aopfAqlGdBSHqb2olY8JXWV0JKrIaecltqTpfC4Ol2bCG/Ng8xc8KwJ0R9BS091vOznHK8zh/PcxAYrxtKX4XTDqgxzGUq0jQx23JtV0g/QXPgID8ZjTfmOEFG8nUoSbNigPzj3/Hn9e888A9OmQePGZY4nZpIEFsPChQvNbUERtJSHqb2oFU9JXSW05GrIKael9mQpPK5OXwyA/V9Cw9pw8RZ0GA+L96njpS0+HOYbXiWIAor4gtX0JIIbPH4KS4m24Ujne7NKHwNwg5kk0ZwMdpRLR/F2qtNB797Fn4KLi4NmzWDkSJbOmaNsvL8hBkkyEFsAqEuXLl3MbUERtJSHqb2oFU9JXSW05GrIKael9mQplKVO/dz1C7p7NIWcfP0TcMNXQIHC+ykBVMee5QxkFv2xoxL/5Sgt+IntlL5wGZRrG9ZUxZMIGrKFyniSxzlO0YWLDKWQsj2Sr1o7LeUW3IApUyAnR52YiEGSLMQBt+py+vRpc1tQBC3lYWovasVTUlcJLbkacsppqT1ZCmWt0+r2sGEIfNND/zp8Kzw3BVLln6ZRKjp0DKITBxiJL09wlTSeJpzvWU8BJY/MlG4bTjyNH0eoxSAAbjCN47Qgk92PLat6O/3bU3DnW7UCOzvVwolBkkBzVKlSxdwWFEFLeZjai1rxlNRVQkuuhpxyWmpPlkJ56tTKCn7qoz8k18EWtp2EVmPg8EV1vDXDg98ZyQA6ICHxI7/SlTAucfuha9VoG9Y44cUsGrKJStQhl784SSeSGU4R2aWWM0k7feAW3IV33lE1lBgkCTSHs7OzuS0ogpbyMLUXteIpqauEllwNOeW01J4sBTl1+lJL/TqlBrXhwk39OqWlyp0wUgwHbAvVXgEAACAASURBVInibZYygKrYEs8ZAviJGP4sdp2abcOJZ/HnKM68D0hcJ5wkAsik5E2kTNpOq1Shuof8TTjLghgkCTRHYmKiuS0ogpbyMLUXteIpqauEllwNOeW01J4sBbl16u8OB76E55tCdj70nwufr1JnnRLAG7ThMN/QEk9ucpdeRPApK8ijAFC/bVhTDW/m0oBfqYQ7uZziJMFcYgRFFF8PZCl9zX3EFgBGILYAUIeUlBTc3NzMbcNotJSHqb2oFU9JXSW05GrIKael9mQpGFunhUXw7ToYu1H/+ukmsHwgOJfvqfkyk0s+XxLN5Hv7GAXhyS8MpGpKkcnaRgG3SWYYt9A/xWZHE7xZgANtAO32NWILAIHFEBUVZW4LiqClPEztRa14SuoqoSVXQ045LbUnS8HYOrW2gjF9YeUg/TqlrSf065T+SFbI4N+wpRLhvMZ6PqYmDhziIi0ZzdC9U9QJWAI21MCHBdRnHTa4kcMJTvAkl/mKInItpq+5j5hJMgIxkyQQCAQCgKOXoc8MOJsKVSrBvHfgdRV3iUnmFm8yl92cAWAAHZjK69hTWb2gf6OAmyQzlFssBcAO/3uzSkEm81BWxEySTM6dO0eXLl3w8/OjWbNm3L1btr0gBOphKccvaCkPcSyJOlriWJKKjZJ12tQDfv8KnvXTr1N6IwpGrNbfklODutRkO8P5lhfQSTCXPbRmDEe5rE7AErDBGR+WUI/V2OBCDsdIKmrDFb6jiDyTeBDHkqjMU089RUhICB07duTWrVs4OTlhY2NTprJiJkkdcnJysFNx3wtToaU8TO1FrXhK6iqhJVdDTjkttSdLQY06LSyCr9fCuE3618/4wi8Doaa8c1nLxMa8P3mv8iJSSMeOSkzhNQbSER069YL+jXxukMy/uc0KAKrQHG8WYE+AqnHL+hmKmSQZHDt2jEqVKtGxY0cAatasWeYBkkA9pk2bZm4LiqClPEztRa14SuoqoSVXQ045LbUnS0GNOrW2gtCX9Au47StD3HFoMxaOXVE8lIEjUzbxB9/yHH7kkM9glvA6c0h7xH5GSlMJF+qxnKPr+2ONM9n8yXFac4UfkchXLa7a34sKNUjatWsXvXr1wt3dHZ1Ox9q1ax+6ZsaMGfj4+GBnZ0dQUBDx8fGl6p0+fZqqVavSu3dvWrZsyZgxY9S0LygjL774orktKIKW8jC1F7XiKamrhJZcDTnltNSeLAU16/S1VvDbCPB2hr9uQLtQ/YG5avDiiy9SGydi+T/G8xI2WLGCQwQSwoF7B9aaiva+3+PPMarTFyjgKt9znLZkc0SVeGp/LyrUIOnu3bu0aNGC6dOnl/jz5cuXM2zYML7++msOHz5Mx44def7557l4seQtUfPz84mPjyciIoK9e/cSFxdHXFxcqfFzc3NJT08v9k+gPIcOHTK3BUXQUh6m9qJWPCV1ldCSqyGnnJbak6Wgdp22qKtfp9SlMWTmQt+ZMGoDFCm8Tul+HlZY8QXPsZsReOPMOVLpwHgmEUcRKi2OKsFLJVypx2p8WIo1NcnmMMcJ4iqjke7t7aRkPDWxHjVq1ChVIyhIw4YN6dq1K76+vvzwww+8/vrrNGnSxPDzAQMG8MILL/Ddd9/h4uJC9+7dWbRoEZmZmXTr1o2pU6cyePBgIiMjef/997l79y6nT59myJAh2NjYcOPGDVJSUujQoUOJ8UNCQujevTuhoaGEhoYSHh4OQL9+/Vi4cCGtWrUiNDSUTp06ERISQoMGDVixYgWFhYUcPXqUP//8E0mSWLZsGb6+vkyYMMFwbdOmTZk3bx52dnbs37+fM2fOkJmZyfr16/Hy8iI8PNxwbatWrZg6dSrOzs5s27aNlJQUUlJS2Lp1K87OzkybNs1wbYcOHRg3bhyenp5s2LCBjIwMzp49y759+7C1tWXevHkEBQUV892oUSOWLVtGUVERR44c4ciRIxQWFrJ8+XKaNGnCxIkTDdc2b96cqKgoqlSpwt69ezl79izp6enExMRQp04dJk+ebLi2devWTJ06FRcXF7Zs2cL169e5cuUKO3bsoEaNGkyfPp3g4GAmT55Mr169GDNmDN7e3qxbt47MzEzOnDnDgQMHsLW1Zf78+QQGBjJu3DiDfuPGjVm6VP+URWJiIseOHSM/P5+VK1fSqFGjYr5btGjBnDlzcHBwYM+ePVy4cIHbt28TGxuLh4dHMd9t2rQhPDyc2rVrExcXR2pqKpcuXWLnzp1Ur16dmTNn0r59e8aMGWMo4+Pjw4YNG7C3t+fUqVMcPHgQGxsbFixYQEBAQDHfvr6+LF68GCsrKxISEjhx4gS5ubmsWrWKBg0aMGnSJMO1AQEBzJo1C0dHR+Lj47l48SK3b99m48aNuLm5MWXKFMO1bdu2JSwsDDc3N+Li4rCysiI5OZn4+HicnJyIjIykXbt2xXzXq1eP1atXk5uby/Hjx0lISMDa2ppFixbRrFkzxo8fb7jWz8+PhQsXYmNjw8GDBzl58iTZ2dlER0dTs2ZNVq1aZbg2MDCQmTNn4uTkxK5du7h06RKpqals3rwZV1fXYr6ffPJJJk6ciLu7O7Gxsdy5c4cLFy6we7f+3KjY2Fjatm3L2LFji33XVq5cSV5eHklJSYYN5pYsWYK/v3+x75q/vz8LFiygsLCQy5cvc/r0abKysli7di3e3t6EhYUZrm3ZsiURERHUqFGD7du3c+XKFW7cuEFcXBwuLi7MnTuXPn36EBISQvv27Rk/fjx16tQhJiaGtLQ0zp07x969e7G3tycqKsrQR/j5+bF48eJy9RF16tRhy5Ytoo8IDmb06NEEBwcr0kfUqFFD1T7CvXZ1Mg7PolnL9uw/r2PnKVi57QRdG+Tw6/o1ZGVlGd1HREZGGtphQEAAv85awSfVnicpJ5mLTplsJono5N10zPZh9uQZJfYRmzZt4ubNm0b3EREREfTp04fRIaMJ8uvHtpX2POGTD3ZnyWAbV7NWs3l1CnWfaFHsuya3j9i4cSOVKlUy9BFVq1Zl9uzZD/URnp6eTJ8+nZEjR2Jra1v2gYdUQQGk6Ohow+vc3FzJ2tpaWrNmTbHrhg4dKnXq1KlEjfz8fCkgIEC6deuWVFhYKPXs2VPasGFDqTFzcnKktLQ0w7/k5GQJkNLS0pRJSiBJkiTFx8eb24IiaCkPU3tRK56SukpoydWQU05L7clSMHWd/rxHkip/LEkMkiS/7yXp9DVldEvLo0gqkiKlnZKdNERCGiR5SCOkndJJZYKWw0uRVCSlSoukw1J16aCEdEiqLF2VQqUiKV+VeCWRlpYm6/d1hbrd9ihSU1MpLCzE1dW12Puurq6kpKSUWMbGxsYwQm7evDkNGzakZ8+epcawtbXFycmJRYsW0a5dO55++mlFcxDoOXfOtPfQ1UJLeZjai1rxlNRVQkuuhpxyWmpPloKp6/Td9rDrc3iiGiRdhdZjYdMx43VLy0OHjsF0Yj9f0hhXLnOHLoQRwq8UqnT7rSQvOnQ48y/8OIYTPZDI4zJfcpJgcjiheDwlsZhB0n10uuKPPEqS9NB7D/L8889z5MgRjh49SlhYWJliDBkyhKSkJH7//XejvApKplOnTua2oAhaysPUXtSKp6SuElpyNeSU01J7shTMUadtfeDQ19DOB+5kQY9pMHEzGLMZz+PyaE4dDvIVb9OOIiS+ZT3dmUoKafKDyvBSGXcaEIMXP2OFE3fZTxIBXGMSEvIOvlP7M7SYQVKtWrWwtrZ+aNbo+vXrD80uGUtERAR+fn60bq3idqr/YO6vGajoaCkPU3tRK56SukpoydWQU05L7clSMFedPlENdnwGAzpAkQRfrIa35kG2zP0Xy5JHVexYwHvM513sqcwWjhNACFs5Li+oTC86dNTiXfw5ihPPIZHLJT7nJJ3I4bTi8Yylwm4mqdPpiI6OLvb4X9u2bQkKCmLGjBmG9/z8/OjTpw9jx45V3IPYTFIdCgsLsba2NrcNo9FSHqb2olY8JXWV0JKrIaecltqTpWDuOpUkmLEDhq2AgiJo6QnRH4FnzfLplDeP41zlNWZzlCvo0PENPfiOF7DB+LoojxcJiZvMJZnhFJGBjip4MJba/B+6Ms7hlDXeP2IzyczMTBITEw1Prpw7d47ExETDI/7Dhw8nKiqKefPmcfz4cT799FMuXrzIhx9+aE7bgnKixoDWHGgpD1N7USuekrpKaMnVkFNOS+3JUjB3nep0MKQLxA2DWlUh4SK0HgPx5ZxQKW8evjzBAUYykGAkJH7iV54mnMvcLl9gI73oZ5U+wI8jOPI0EtlcYhin6EIufykeTw4VaiZpx44ddOnS5aH333nnHebPnw/oN5McP348V69epWnTpobHYpUkIiKCiIgICgsLOXXqlJhJEggEAoFRXLgJL86ExGSwsYJpr8OHT6kfdxkHGMRiMsmlFlVZwLv0oJn6gf+GhEQqs7jE5xRxFyvs8WA8LnxU5lmlR/GPmEnq3LkzkiQ99O/+AAng448/5vz58+Tm5nLo0CFVFnWJhdvqYikHeWopD3HArTpa4oDbio2W6tTLGfaMgH6t9LfePloKgxdDXhn2XjQmjzdoQwJfE0hdUsnkBaYzgtXky1xILdeLDh0ufIgfR6hKZ4rIIpl/c5pu5HJe8Xhl9lWRZpK0hliTpA7JycnUrVvX3DaMRkt5mNqLWvGU1FVCS66GnHJaak+WghbrVJJg/CYYuVb//w71YfWH4PqIXzFK5JFDPl+wiunsAKAdPvzCQLxwLpeOEl4kirjBDC7zH4rIwoqq1GEitRj00KG9ZY33j5hJ0gri6TZ12bp1q7ktKIKW8jC1F7XiKamrhJZcDTnltNSeLAUt1qlOB//pDjFDoFoV2PMXBI2Gg+dLL6NEHnZUYhpvsJrBVKMK+zhHICGso3wHzinhRYcVtfk3vvxBVYIpIpOLfMhpniWP4seMqf0ZikGSDMTtNnVp1KiRuS0ogpbyMLUXteIpqauEllwNOeW01J4sBS3XaY9mcGAkNHGDy3cgeAIs2lfytUrm8RItOcw3tMGb22TxIjMZxnJyyS9TeSW92NGARuykDuHosCODLRyjKanMRUJSPF5JiEGSQHNkZ2eb24IiaCkPU3tRK56SukpoydWQU05L7clS0HqdNnKF/V9Cr+aQWwBv/wyfrYSCvy0XUjoPH2oRzxd8xjMATGEbHRjPX9x4bFmlveiwwpVh+PEHDjxJERlc4APO0IM8Lqn+GYpBkgzE7TZ1uXnzprktKIKW8jC1F7XiKamrhJZcDTnltNSeLIWKUKdOVWDtR/BND/3rsC36Xbpv3f3fNWrkURkbJvIKGxhCTRw4xEUCCWEFBx9ZTq06taMRjYnHgwnosCWdjSTRlLyqawyzSmogBkkyELfb1KVFixbmtqAIWsrD1F7UiqekrhJacjXklNNSe7IUKkqdWlnBT31g1WBwsIW44/r9lI5e1v9czTx60pxEviGYBmSQQz/m8BFLyKbk7cHV9KLDGjc+x5fD2NOGQtJwDfwViRzVYopBkkBzxMTEmNuCImgpD1N7USuekrpKaMnVkFNOS+3JUqhodfpyS9j7H/CpBWdTod04WJOgfh51qcl2hvMVz6NDRyS7aMc4TvLw4fGmqNMq+NKEPXgwlkOre2JFFdViiS0AjEBsAaAOWVlZ2Nvbm9uG0WgpD1N7USuekrpKaMnVkFNOS+3JUqiodXozE/rNga0n9K9HPptPSN9KWJlg2mMzSbzFPK6TgQO2zORN3qKd4eda7WvEFgAmRKxJUpewsDBzW1AELeVhai9qxVNSVwktuRpyymmpPVkKFbVOnavCxqHw6dP612M3V6JvJKSbYB36s/iRyLd0oTF3yeVtfuY95nOXXMBy+pr7iJkkIxAzSQKBQCAwJwv3wqDF+qfffJ+AdR9BQ1f14xZSxGhi+YEYipDw4wlWMAh/3NUPLgMxkySwGLR0VIAxaCkPcSyJOlriWJKKjSXU6dtPwrs15+FRHY5fhTahsPGo+nGtseI7erKVT3mCaiRxldaMoW/Ml6o+bfZ3xLEkGkbMJKnDjRs3cHFxMbcNo9FSHqb2olY8JXWV0JKrIaecltqTpWApdXrjxg0KK7vw8iz47S+w0kFoX/j8Wf0O3mpznXTe5mc2kQTAm7Qhkv44Yqd67LJ+hmImSWAxrFmzxtwWFEFLeZjai1rxlNRVQkuuhpxyWmpPloKl1OmaNWtwqwbbPoWBwVAkwYg10H8uZJX8pL6i1MaJWP6PUPpiVQRLOUAQozn8tyNE1EDtz1AMkgSaw1IWxGspD1N7USuekrpKaMnVkFNOS+3JUrCUOr2fh20lmPUvmPEm2FjBst8heDxcvKW+Byus+A/diTrdh7rU4DTXacc4ZrBD1dtvan+GYpAkA/F0m7pcvXrV3BYUQUt5mNqLWvGU1FVCS66GnHJaak+WgqXU6YN56HTw0VOw9VNwcYTDydBqDOw6ZRovtc9IHOYbetGcPAoYwjJeZTZ3yFIlntqfoRgkyUDsuK0uhYWFj7+oAqClPEztRa14SuoqoSVXQ045LbUnS8FS6rSkPDo1goNfQWBduJEBT4fDzJ2g9irkwsJCnKnKOj4mnFephDWrSSCQEA5wTpV4aiIGSQLN4e3tbW4LiqClPEztRa14SuoqoSVXQ045LbUnS8FS6rS0PDxrwu4R8EZrKCiCj5fC4MWQm6++Fx06htGNPYzAh1qc5ybBTCCcLYreflP7MxSDJIHmiI+PN7cFRdBSHqb2olY8JXWV0JKrIaecltqTpWApdfqoPOwrw5IBMP4l/VNvc3ZD13BISTONl9Z4c5hveIWW5FPIcFbSmwhukqlKPKURWwAYgdgCQB1u3bpFzZo1zW3DaLSUh6m9qBVPSV0ltORqyCmnpfZkKVhKnZY1j03H4PUouJMFHtUh+iNo7W0aLxISkeziU1aQSwF1qcEyPqADDVSJ93fEFgACi2HGjBnmtqAIWsrD1F7UiqekrhJacjXklNNSe7IULKVOy5rHc/5w4Ev9ztyX70DHCbB4n2m86NDxEU+xjy9pSG2Suc1TTCKUjRRRpHg8pRAzSUYgZpIEAoFAUNFIz4Z/zYMNf+pff/EsjO0L1iaaNskgh49YwhIOAPrz4BbxHrVR7/eomEkyIWILAHWxhKMCQFt5iGNJ1NESx5JUbCylTsubh1MVWPsRfP28/vWEzdArQn8bzhReHLFjEe8zl7epQiU2k0QAIezgpCrxjEHMJBmBmElSh/T0dIuoTy3lYWovasVTUlcJLbkacsppqT1ZCpZSp8bkseIgvDsfsvOhkSus/xgau5nOyzGu8BqzSeIqVuj4jhf4hhewLuMcTlnjiZkkgcUwf/58c1tQBC3lYWovasVTUlcJLbkacsppqT1ZCpZSp8bk8Vor2DMC6taAU9egzViIPWI6L/648ztf8T4dKEJiFDE8w2SucEeVeOVFDJIEmqNbt27mtqAIWsrD1F7UiqekrhJacjXklNNSe7IULKVOjc0j0FO/8WRwA0jPgZ4RMH6TvI0n5XixpzJzeZtFvIcDtmznJAGEsPnegblKxysPYpAk0BwnTpwwtwVF0FIepvaiVjwldZXQkqshp5yW2pOlYCl1qkQetZ30R5kM6qgfHP1njX5xd3Y5D8g1xsu/aEcCX9OCOtwgg+eYwldEU0Dpu2qr/RmKQZJAczg4OJjbgiJoKQ9Te1ErnpK6SmjJ1ZBTTkvtyVKwlDpVKo/KNhDZHyLe0B+Qu/QAdJoIl26bzksjXNnHl3zEUwCMZSOdmUQyJZ/Sq/ZnKAZJAs1hCZu7gbbyMLUXteIpqauEllwNOeW01J4sBUupUyXz0Ong484QNwycHeDgBf0Bub/9ZTovdlRiBm+ygkE4Ycce/iKAEGL4U5V4j0IMkgSa488/H/4iVES0lIepvagVT0ldJbTkasgpp6X2ZClYSp2qkUfnxvp1Ss3rwLV06BIG8/aY1surBHGYb2iFF7e4Sy8i+JxV5D9w+03tz/AfvwXAyZMn6devX7HXy5Yt48UXX3xsWbEFgDpcuXIFd3d3c9swGi3lYWovasVTUlcJLbkacsppqT1ZCpZSp2rmkZkD7y6A1Qn610O7wqRXwMbadF5yyWcEa5jKNgDa4sNyBuKFc5njiS0AZNK4cWMSExNJTExk9+7dODg48Mwzz5jb1j+aefPmmduCImgpD1N7USuekrpKaMnVkFNOS+3JUrCUOlUzj6p2sGIg/NBL/3rqNug+FW6Wcj6tGl5sqcQU+rGGD6mOPfs5RwAhrCNR9c/wHz+T9CBLly5l3bp1LF++vEzXi5kkgUAgEPxTiD4Mb/0Md3OhXi1YPwT8TTwRd55U+jGHA5wH4BO6Mp6XqYzNI8v9Y2aSdu3aRa9evXB3d0en07F27dqHrpkxYwY+Pj7Y2dkRFBREfHx8mbRXrFhR7NabwDz8U48KUBNxLIk6WuJYkoqNpdSpqfLoGwh7/wM+teBsKrQLhXWJpvXiTS3i+YLh6PdHik7ejRU61eJVuJmk//73v+zZs4eWLVvy8ssvEx0dXWz90PLly3nrrbeYMWMGHTp0YNasWURFRZGUlISnp2epuunp6dSvX5/k5GTs7OxKvCY3N5fc3NxiZerWrStmkhQmNzcXW1tbc9swGi3lYWovasVTUlcJLbkacsppqT1ZCpZSp6bOIzUTXpsN2+8dtfZjb/imh/7JOFN6ieFPmuTWpoHt489RkTuTZD1q1KhRRng0OQ0bNqRr1674+vryww8/8Prrr9OkSRPDzwcMGMALL7zAd999h4uLC927d2fRokVkZmbSrVs3pk6dyuDBg4mMjOT999/H2lq/+mzFihUAvPbaa6XGDgkJoXv37oSGhhIaGkp4eDgA/fr1Y+HChbRq1YrQ0FA6depESEgIDRo0YMWKFRQWFnL06FH+/PNPJEli2bJl+Pr6MmHCBMO1TZs2Zd68edjZ2bF//37OnDlDZmYm69evx8vLi/DwcMO1rVq1YurUqTg7O7Nt2zZSUlJISUlh69atODs7M23aNMO1HTp0YNy4cXh6erJhwwYyMjI4e/Ys+/btw9bWlnnz5hEUFFTMd6NGjVi2bBlFRUUcOXKEI0eOUFhYyPLly2nSpAkTJ040XNu8eXOioqKoUqUKe/fu5ezZs6SnpxMTE0OdOnWYPHmy4drWrVszdepUXFxc2LJlC9evX+fKlSvs2LGDGjVqMH36dIKDg+nZsyf9+/dnzJgxeHt7s27dOjIzMzlz5gwHDhzA1taW+fPnExgYyLhx4wz6jRs3ZunSpQAkJiZy7Ngx8vPzWblyJY0aNSrmu0WLFsyZMwcHBwf27NnDhQsXuH37NrGxsXh4eBTz3aZNG8LDw6lduzZxcXGkpqZy6dIldu7cSfXq1Zk5cybt27dnzJgxhjI+Pj58+OGHeHh4cOrUKQ4ePIiNjQ0LFiwgICCgmG9fX18WL16MlZUVCQkJnDhxgtzcXFatWkWDBg2YNGmS4dqAgABmzZqFo6Mj8fHxXLx4kdu3b7Nx40bc3NyYMmWK4dq2bdsSFhaGm5sbn3zyCc7OziQnJxMfH4+TkxORkZG0a9eumO969eqxevVqcnNzOX78OAkJCVhbW7No0SKaNWvG+PHjDdf6+fmxcOFCbGxsOHjwICdPniQ7O5vo6GjDHzP3rw0MDGTmzJk4OTmxa9cuLl26RGpqKps3b8bV1bWY7yeffJKJEyfi7u5ObGwsd+7c4cKFC+zevZtffvmFhIQE2rZty9ixY4t911auXEleXh5JSUkkJur/vF2yZAn+/v7Fvmv+/v4sWLCAX375hfz8fE6fPk1WVhZr167F29ubsLAww7UtW7YkIiKCGjVqsH37dq5cucKNGzeIi4vDxcWFN954g7feeouQkBDat2/P+PHjqVOnDjExMaSlpXHu3Dn27t2Lvb09UVFRhj7i4MGDbN++vVx9xK5duzh27JjoI4KDGT16NMHBwUb3EaGhoYa2Y44+Ijo6mqysLKP7iFdeecXQDuX2EZs2beLmzZtl6iP+u2E1rwTkcSuziJO3q7H9JKzdeYq+Qba89kpfg5dH9RH16tUr9l2T00d0dg/km6EjqF27tqGPqFq1KrNnz36oj/D09GT69OmMHDmyXIO4CjeT9CA6na7YTFJeXh729vasXLmSvn37Gq775JNPSExMZOfOnaVq9erVi0GDBtGrV69Sr/n7TFJaWhqenp4kJyeLmSQFOXv2LPXq1TO3DaPRUh6m9qJWPCV1ldCSqyGnnJbak6VgKXVqzjwW7IXhK6GgUL8+afxzFwkOKP2ujdKUNff7d37u3LlDtWrVyqz/6JVOFYzU1FQKCwtxdXUt9r6rqyspKSmllktLS+PAgQOsXr36kfq2trbY2toSERFBRESEYcBUt25d480LBAKBQFCBOQa8MMbcLh5NRkbGP3eQdB+drvgiLkmSHnrvQapVq8a1a9fKrD9kyBCGDBnCnTt3qFGjBhcvXixXpQseTevWrfn999/NbcNotJSHqb2oFU9JXSW05GqUt9z9v4LFrLWyaOk7agxaykOrfY0kSWRkZJR7DyeLGiTVqlULa2vrh2aNrl+//tDskhJYWekfDqxWrZrouBTE2traIupTS3mY2ota8ZTUVUJLrobcck5OTpppU5aAlr6jxqClPLTc18iZzKhwWwA8isqVKxMUFERcXFyx9+Pi4mjfvr2ZXAnKy5AhQ8xtQRG0lIepvagVT0ldJbTkamipbfyTsZTPQUt5WEpfc58Kt3D7/hMMAIGBgYSFhdGlSxdq1qyJp6enYQuAyMhInnzySWbPns2cOXM4duwYXl5einoRm0kKBAJTIPoagcA8VLjbbQcPHqRLly6G18OHDwfgnXfeYf78+fTr14+bN2/y448/cvXqVZo2bUpsbKziAyTQL+T+dSDjFwAACddJREFU/vvvLWKfDYFAoF1EXyMQmIcKN5MkEAgEAoFAYAosak2SQCAQCAQCgVKIQZJAIBAIBAJBCYhBkkAgEAgEAkEJiEGSQCAQCAQCQQmIQZJAIBAIBAJBCYhBkkrExMTQuHFjGjZsSFRUlLntCAQCC6Vv377UqFGDV155xdxWBAKLQ2wBoAIFBQX4+fmxfft2nJycaNmyJfv376dmzZrmtiYQCCyM7du3k5mZyYIFC1i1apW57QgEFoWYSVKBAwcO4O/vj4eHB46OjvTo0YNNmzaZ25ZAILBAunTpgqOjo7ltCAQWiRgklcCuXbvo1asX7u7u6HQ61q5d+9A1M2bMwMfHBzs7O4KCgoiPjzf87MqVK3h4eBhe16lTh8uXL5vEu0AgqDgY29cIBAJ1EYOkErh79y4tWrRg+vTpJf58+fLlDBs2jK+//prDhw/TsWNHnn/+eS5evAhASXcwdTqdqp4FAkHFw9i+RiAQqIsYJJXA888/T0hICC+99FKJPw8LC2PAgAF88MEH+Pr6MnnyZOrWrcvMmTMB8PDwKDZzdOnSJZ544gmTeBcIBBUHY/sagUCgLmKQVE7y8vI4dOgQzz77bLH3n332WX777TcA2rRpw9GjR7l8+TIZGRnExsby3HPPmcOuQCCooJSlrxEIBOpiY24DFY3U1FQKCwtxdXUt9r6rqyspKSkA2NjYMGnSJLp06UJRUREjRozA2dnZHHYFAkEFpSx9DcBzzz1HQkICd+/epU6dOkRHR9O6dWtT2xUILBIxSJLJ39cYSZJU7L3evXvTu3dvU9sSCAQWxuP6GvHkrECgHuJ2WzmpVasW1tbWxf6SA7h+/fpDf/EJBAKBXERfIxCYHzFIKieVK1cmKCiIuLi4Yu/HxcXRvn17M7kSCASWhuhrBALzI263lUBmZiZnzpwxvD537hyJiYnUrFkTT09Phg8fzltvvUWrVq148sknmT17NhcvXuTDDz80o2uBQFDREH2NQKBtxLEkJbBjxw66dOny0PvvvPMO8+fPB/QbvI0fP56rV6/StGlTwsPD6dSpk4mdCgSCiozoawQCbSMGSQKBQCAQCAQlINYkCQQCgUAgEJSAGCQJBAKBQCAQlIAYJAkEAoFAIBCUgBgkCQQCgUAgEJSAGCQJBAKBQCAQlIAYJAkEAoFAIBCUgBgkCQQCgUAgEJSAGCQJBAKBQCAQlIAYJAkEAoFAIBCUgBgkCQQCgUAgEJSAGCQJBAKBQCAQlIAYJAkEAkEJrFy50twWBAKBmRGDJIFAIPgbv/32GwsWLDC3DYFAYGbEIEkgEAj+xpIlS+jfv3+JP1u1ahUtWrTA0dERnU5HlSpVyMrKeqzmmjVrqFy5Mjqdjrp16xIQEMCZM2eUti4QCBREDJIEAoHgAQoKCoiNjaVPnz4l/vyVV17hjz/+YOTIkbRu3ZqcnBzOnj37SM2bN28SHR1Nfn4+PXv2JDk5mcTERBo0aKBGCgKBQCHEIEkgEAgeYOPGjQQHB2Nvb//I637//XfeeecdAP76669HXjtx4kRatmwJQI8ePZQxKhAIVEcMkgQCgeABHnWr7T6FhYXk5OQQEBAA8MjbZps2baJdu3YkJCQA0KVLF+XMCgQCVRGDJIFAILhHZmYm+/bto1u3bo+87tChQ7Rs2ZL69esDpc8k3b17ly1bttCnTx927NjBE088QZMmTRT3LRAI1EEMkgQCQYXhjz/+4K233iI4OJiYmBhu377NsGHD+Oijj+jbty+JiYlG6a9Zs4ZevXphY2PzyOt27NhBly5dcHNzw8HBodRB0sSJE/nss884c+YMly5dErNIAkEFQwySBAJBhWHKlCn8/PPPdO/enffff5+BAwfyxRdf8Nprr/Hrr78yd+5co/TLcqsNYM+ePbRv3x6AevXqlXi7bf/+/Xh7e+Pm5sb27dsBcatNIKhoPPrPJYFAINAIf/31F+7u7tjY2HDlyhVu3brFV199hYeHB3v37qVq1ar06tULgOzsbEaMGIG3tzcpKSm4urry+eefP1L/2rVrXLhwgbZt2z7yuoKCAgoKCgwLu+vXr09MTAwFBQWGGai8vDyWLl3KlClTAAyDpK5duxpVBwKBwLSIQZJAIKgQXLt2jZdffhmA3bt3ExwcbHhi7JVXXuGVV14xXDty5EicnZ357LPPAOjcuTNeXl68+uqrper/8ssv9OvX77E+fv/9d1q1amV4Xb9+fQoKCrhw4YJhjdKUKVMYOnSo4ZodO3bg6elJvXr1ypGxQCAwN+J2m0AgqBC0b9+ewMBAUlNTOXr0KJ07dy7xuuzsbObMmcNLL71keK9v376P3UF7yZIlvPnmm4/1cX890n3uD4zu33JLSkrC1tbW8P7Jkye5evWquNUmEFRAxCBJIBBUKLZv344kSaUOkk6cOEFWVhZeXl6G97y8vNi5cyeSJJVY5tSpU0iSROPGjR8bf+/evbRr187w+sEn3IqKipg5cyZDhgwp5hfErTaBoCIiBkkCgaBCsX37dmxtbYsNVB7k2rVrADg4OBjec3BwIDMzk4yMjBLLlHXBdn5+PpIkYWdnZ3jvwUFSZGQkAwYMwNrauphfEIu2BYKKiFiTJBAIKhTbt2+nXbt2xQYqD3Lr1i2sra2LPcZfuXJlQL8PkpOT00Nlli9fzo4dOx4be//+/bRu3brYe15eXtjY2LBz505q1qxp2GDyPjt37qR+/frUrVv3sfoCgUBbiJkkgUBQYUhJSeHEiROl3moDcHR0fOi9zMxMAGrWrPnQz/bt24enpydubm6PjH337l3Gjh2Ls7NzsfdtbGzw8vIiPT3dsFD8PgkJCVy7do2OHTs+UlsgEGgTMUgSCAQVhmvXruHq6sprr71W6jVPPPEEhYWFZGdnG97LyMigevXqJc4+Pe5WW05ODi1btqR27drExsYydOhQ6tWrx6lTpwzXtG7dmjlz5hj0R4wYgb+/P8HBwQCsWLGCZs2aMWnSpHLnLBAIzIdOKm0lo0AgEFRACgoKqFWrFnv27MHf3x+An376ia1btz50S62goIAGDRpw5MiREmegBALBPxsxkyQQCCwKGxsbXn75ZRYtWgSAJEmsWbOm2BNn99m8eTNt27YVAySBQFAiYiZJIBBYHHfu3GHo0KH4+/uTkpKCu7s7X3zxxUPX9e/fn379+tG79/+3Z8dEEIUwFEXTYAYpFCsBi2jABzbov4FsDTOco+CVd5LfgZXA7UQS8KS9d9RaY60VpZTTc4ALebcBTxpjRGtNIAF/iSTgSXPO6L2fngFczLsNACDhkgQAkBBJAAAJkQQAkBBJAAAJkQQAkBBJAAAJkQQAkBBJAAAJkQQAkBBJAACJD56BJ1M8jwxGAAAAAElFTkSuQmCC\n",
"text/plain": [
"Graphics object consisting of 4 graphics primitives"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from kerrgeodesic_gw import KerrBH\n",
"rmin = KerrBH(a).isco_radius()\n",
"rmax = 50.\n",
"graph = Graphics()\n",
"for l in range(2, 6):\n",
" legend_label = r\"$\\ell = {}$\".format(l)\n",
" graph += plot_loglog(lambda r: abs(Zinf(a, l, l, r)), \n",
" (r, rmin, rmax), thickness=1.5, \n",
" color = hue((l-2)/5), legend_label=legend_label,\n",
" gridlines=('minor', 'major'), frame=True, axes=False, \n",
" axes_labels=[r\"$r_0/M$\", \n",
" r\"$\\left|Z^\\infty_{\\ell\\ell}\\right|$\"],\n",
" title=r\"$a={}M$\".format(float(a)), ymin=1e-7)\n",
"graph"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "SageMath 8.9",
"language": "sage",
"name": "sagemath"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.15"
}
},
"nbformat": 4,
"nbformat_minor": 2
}