{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Kruskal-Szekeres coordinates and Carter-Penrose diagram of Schwarzschild spacetime\n",
"\n",
"This Jupyter/SageMath worksheet is relative to the lectures\n",
"[Geometry and physics of black holes](http://luth.obspm.fr/~luthier/gourgoulhon/bh16/)\n",
" \n",
"These computations are based on [SageManifolds](http://sagemanifolds.obspm.fr) (v0.9)\n",
"\n",
"Click [here](https://raw.githubusercontent.com/egourgoulhon/BHLectures/master/sage/Schwarz_Kruskal_Szekeres.ipynb) to download the worksheet file (ipynb format). To run it, you must start SageMath with the Jupyter notebook, with the command `sage -n jupyter`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First we set up the notebook to display mathematical objects using LaTeX formatting:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%display latex"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Spacetime\n",
"\n",
"We declare the spacetime manifold $M$:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"4-dimensional differentiable manifold M\n"
]
}
],
"source": [
"M = Manifold(4, 'M')\n",
"print(M)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The ingoing Eddington-Finkelstein domain\n",
"\n",
"The domain of ingoing Eddington-Finkelstein coordinates $(\\tilde t, r, \\theta, \\phi)$:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"M_EF = M.open_subset('M_EF', latex_name=r'M_{\\rm EF}')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The Schwarzschild-Droste domain\n",
"\n",
"The domain of Schwarzschild-Droste coordinates is $M_{\\rm SD} = M_{\\rm I} \\cup M_{\\rm II}$:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"M_SD = M_EF.open_subset('M_SD', latex_name=r'M_{\\rm SD}')\n",
"M_I = M_SD.open_subset('M_I', latex_name=r'M_{\\rm I}')\n",
"M_II = M_SD.open_subset('M_II', latex_name=r'M_{\\rm II}')\n",
"M_SD.declare_union(M_I, M_II)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Schwarzschild-Droste coordinates $(t,r,\\theta,\\phi)$:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_SD, (t, r, th, ph))"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_SD. = M_SD.chart(r't r:(0,+oo) th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n",
"m = var('m') ; assume(m>=0)\n",
"X_SD.add_restrictions(r!=2*m)\n",
"X_SD"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_I, (t, r, th, ph))"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_SD_I = X_SD.restrict(M_I, r>2*m) ; X_SD_I "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_II, (t, r, th, ph))"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_SD_II = X_SD.restrict(M_II, r<2*m) ; X_SD_II"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_SD, (t, r, th, ph))"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"M.default_chart()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Eddington-Finkelstein coordinates\n",
"\n",
"The ingoing Eddington-Finkelstein chart:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_EF, (te, r, th, ph))"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_EF. = M_EF.chart(r'te:\\tilde{t} r:(0,+oo) th:(0,pi):\\theta ph:(0,2*pi):\\phi') \n",
"X_EF"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"te = 2*m*log(abs(1/2*r/m - 1)) + t\n",
"r = r\n",
"th = th\n",
"ph = ph"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"SD_to_EF = X_SD.transition_map(X_EF, [t+2*m*ln(abs(r/(2*m)-1)), r, th, ph])\n",
"SD_to_EF.display()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"t = 2*m*log(2) + 2*m*log(m) - 2*m*log(abs(-2*m + r)) + te\n",
"r = r\n",
"th = th\n",
"ph = ph"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"SD_to_EF.inverse().display()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_I, (te, r, th, ph))"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_EF_I = X_EF.restrict(M_I, r>2*m) ; X_EF_I "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_II, (te, r, th, ph))"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_EF_II = X_EF.restrict(M_II, r<2*m) ; X_EF_II "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"[Chart (M_SD, (t, r, th, ph)),\n",
" Chart (M_I, (t, r, th, ph)),\n",
" Chart (M_II, (t, r, th, ph)),\n",
" Chart (M_EF, (te, r, th, ph)),\n",
" Chart (M_SD, (te, r, th, ph)),\n",
" Chart (M_I, (te, r, th, ph)),\n",
" Chart (M_II, (te, r, th, ph))]"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"M.atlas()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Kruskal-Szekeres coordinates"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M, (T, X, th, ph))"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_KS. = M.chart(r'T X th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n",
"X_KS.add_restrictions(T^2 < 1 + X^2)\n",
"X_KS"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_I, (T, X, th, ph))"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_KS_I = X_KS.restrict(M_I, [X>0, T-X]) ; X_KS_I "
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_II, (T, X, th, ph))"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_KS_II = X_KS.restrict(M_II, [T>0, T>abs(X)]) ; X_KS_II"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_EF, (T, X, th, ph))"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_KS_EF = X_KS.restrict(M_EF, X+T>0) ; X_KS_EF"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"T = sqrt(1/2*r/m - 1)*e^(1/4*r/m)*sinh(1/4*t/m)\n",
"X = sqrt(1/2*r/m - 1)*cosh(1/4*t/m)*e^(1/4*r/m)\n",
"th = th\n",
"ph = ph"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"SD_I_to_KS = X_SD_I.transition_map(X_KS_I, [sqrt(r/(2*m)-1)*exp(r/(4*m))*sinh(t/(4*m)), \n",
" sqrt(r/(2*m)-1)*exp(r/(4*m))*cosh(t/(4*m)), \n",
" th, ph])\n",
"SD_I_to_KS.display()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"T = sqrt(-1/2*r/m + 1)*cosh(1/4*t/m)*e^(1/4*r/m)\n",
"X = sqrt(-1/2*r/m + 1)*e^(1/4*r/m)*sinh(1/4*t/m)\n",
"th = th\n",
"ph = ph"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"SD_II_to_KS = X_SD_II.transition_map(X_KS_II, [sqrt(1-r/(2*m))*exp(r/(4*m))*cosh(t/(4*m)), \n",
" sqrt(1-r/(2*m))*exp(r/(4*m))*sinh(t/(4*m)), \n",
" th, ph])\n",
"SD_II_to_KS.display()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"T = -1/4*(r*e^(-1/4*te/m)/m - 4*cosh(1/4*te/m))*e^(1/4*r/m)\n",
"X = 1/4*(r*e^(-1/4*te/m)/m + 4*sinh(1/4*te/m))*e^(1/4*r/m)\n",
"th = th\n",
"ph = ph"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"EF_to_KS = X_EF.transition_map(X_KS_EF, [exp(r/(4*m))*(cosh(te/(4*m))-r/(4*m)*exp(-te/(4*m))), \n",
" exp(r/(4*m))*(sinh(te/(4*m))+r/(4*m)*exp(-te/(4*m))), \n",
" th, ph])\n",
"EF_to_KS.display()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot of the IEF grid in terms of KS coordinates:"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"graph = X_EF.plot(X_KS, ambient_coords=(X,T), fixed_coords={th:pi/2,ph:pi}, \n",
" ranges={te:(-16,6), r:(1e-6,5)}, steps={te:1, r:0.5}, \n",
" style={te:'--', r:'-'}, parameters={m:1})"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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UiiKAFSqyqCgC3NViZJCU5Sg6muLJeG7YkNFqkZF8HRAA3LjBHAxffZVy3gZFUdKFWowU\nJZM5fZpV7s+fpxtJkybx31+2jGPm448D585xLF27liJo6FCKpwsXgKJFLWm+O+PewghIWhxFRfE9\nEW5r0IDLZ5GRQO7c/Kdfu8Zjp027t/6LoiguQ4WRomQiu3czCaOvLwu6VqqU9L6//gr06MF958wx\nS20pSeL+ppTkQvntdrPI7KZNzG/k7w+ULUtxlC8fBdVzz/EYRVEURfFk/viDOf2KFWOofFKiKDIS\nGDAAaNuWhoO9e1UUOYn7CyPAFEdduvB1QnFkt9Mxe9Mm4IEHgOPHgbx5+ciTh4r5qacYwqgoiqIo\nnsjUqRQ6Rih+4cKJ73f4MHMZffstw/SXLgUKFEj95506lZ7WeiyeIYwAip9ZsxIXRzYbl9NiYqig\nq1cHTp6kg1jBgnxet47OYhqtpiiKongSIsD77wMvv8yoszx5OK4lxqxZXD0JC+N42L9/2sp0LF8O\nVKxIX6X0EhZGseYheI4wAlIWR0bU2tatQNWqjF7z9aVzma8vtz/0EDODKoqiKIq7ExVFX9nRo5nH\n78IFoGtXvnfhAh2rAeDWLUaide/OjNQ7d7JCxBdfsGRHati4kQmTW7UCWrdOX/tjY+kK40FRbJ4l\njIDkxRFAH6NSpZgZu0oV/mi8vKiyfXzosP3oo8DChdZdg6IoiqKkREgIhcnPP1MUXboErFjBSLPT\npxmJ1r07nbFr12Z4/uzZzICdOzdD8d96i8c4y86ddOyuV485jnx80t5+Efo5LVvG9nkInieMgOTF\nUXQ0cPEihdCOHXRMu3iRgihnTvOf/PTTXK9VFEVRFHfjzBkmMd69GyhenClo1qyhGDp+nM/R0dyn\nXj0KoV27TGuSUd5jxAjWSXOGAweY9LFyZfol+fun7xqGDAEmTuSYvW5d+s6ViXimMAKSF0fh4aY4\n2rWLNdauXOE+0dFm6P7LLwNjxlh3DYqiKIqSkD17KHZCQuhPFBHBOqG1a9NXp0kTroRUqsSir6++\nykzUFSvy+LiiyNnkjcePczWlWDGWEwkISHv7T5/mMtyoURRXH35Iv18Pwf3zGKWEw8F11Tlz+Dpu\nniN/f6BIEeDsWa61HjvGH9jNm/FLiLz1FvDZZ9Zdg6J4OJrHSFFcxMqVQKdOnNBHR7P8xl9/AWXK\nAPv2UbzkzMkxLiyM5T/atzePT4soioigX66XF2uRJhXtlhKnTtEXavp0BkM98AAtRR7WJ3i+MAJS\nFkeFCzM7aM2aVK0RETRL2u08FqCzWcOGll2CongyKowUxQXMnMnCri1b0r/n+HGG2d93H1c/Wrbk\n2Hb5MvDww8CPPwIlS5rHp0UUGSxYwOCkuOdzFkMQzZhBS1N4OFCnDgWd4f/rQXjuUlpcUlpWu3yZ\n4mjHDjpm+/sz+aPDwWMLF6Yz28aN1l6HoiiKkv0QAUaOZIbqHj2AX36hz1CNGhRFADBoEMe2Cxf4\n99q18UVMbCzHuLSIIoB+t6kVRadOAa+8QsfwRYu4dPbff6xV+ssvHimKgKxiMTJIznLk40OR5O1N\nJXv2LF9fu0ZxVLUql9qWLKEqVxTFadRipChpJDKSE/PVqylq3n//3rxDa9cCwcFcnvrhBzpIJ0Zs\nLMe9jOb0aYqg6dOZSPl//wP69Ek6t5KHkTUsRgaG5cjwyk8Yrebvzx/Wjh3MbZQrF82U9eoBBw/S\nke3JJ6l0FUVRFCUjuX4dKF2aouijj2jpiSuKYmOB4cOBFi0YKbZ3b9KiCMh4UXTmDAWQYSEaPRo4\ncQIYODDLiCIgqwkjgOJo5syUxdHu3VxCy52buY5at2YkwIMPAh07AvPmWXsdiqIoStbl+HGKoosX\nGbU1dGj89y9eZGTXhx8y7H3lSnNZLbM5dw7o25eC6Oefadk6cYJLellIEBlkzZLzhjgCaHY0xJGx\nrJYzJ735d+2i1/z161Ti7dtzKa1hQ2bqvH2bS3Meuk6qKIqiuCFHjwJ163KMef551j+Ly6pV9Jm1\n2fh38+au+VyHg2Nf7tzO7X/xIlPaTJ5MAfThh8Drr6cvlN8DyHoWI4PkLEeRkfwnx8bSSpQ3L7dv\n384wyY0bWaSvd2/WWjtxwtJLURRPoXPnzmjXrh1+/PFHq5uiKO7J1q2sdl+4MMenuXNZ6BzgmDRs\nGP1cq1fn+OQqUSTCummPPMJVk+S4coXLY2XL0j3lgw84Dr73XpYXRQAAyerExop07SrCn4WIl5dI\nzpx8zp1bxNdXJCBApE4dkQoVRO67TyQ4mPuWLs1nX1+RvXutvhJFcVtu3rwpAOTmzZtWN0VR3Jel\nS0X8/UUaNRLp04fjy8iRIg6HyIULHINsNpHhw0ViYhI/x/DhIkOHpv6z33+fnzd1atL7XLsm8u67\nIrlycVwcOlTkxo3E992xQ+Ttt0Wio1PfFjcn61qMDJKyHPn6MirN359WoSNHqIRz52YEwAsvMOdR\n0aLcv1YtJr5SFEVRlNQyeTILs7ZpQ1+db74BvvqKUWirVzOh49GjwLPP0qcoMUdqI09RauuXjRvH\nKLJx45gnKSE3b9L5u0wZtql/f45/H30EBAXdu//p0wxU2rCBvrtZDauVWaaRnOUoKEikbFmRwECR\nWrVEKlUSKVyYD0CkZEk+22wiS5ZYfSWK4naoxUhRksDhMK01r70m0qkTx52ZM2kVGjbMHJfeeov7\nJ8bw4dxnxIjUff6UKTzu/ffvfe/2bZExY0Ty5RPx8+PnX7qU/Plu3hSpXl2kVCmRixdT1xYPIfsI\nI5GUxVGZMnx+8EGRKlVEChTgAxApV848bto0q69EUdwKFUaKkghRUSLdu3PcGDVKpGVLumYsWUJR\n8eij5rgyenTS50mrKJo3jxP6vn3jC67wcJHx40UKFRLx8eH7586lfL7oaJHHHqMRYf/+1LXFg8he\nwkgkeXGUNy/FUd68IjVrilSrRmFUtCj3rVjRPG7jRquvRFHcBhVGipKAW7c4hnh5ifzwA61DL70k\nsnq1yNq1HFf8/TmeTJiQ9HkMUTR8eOo+f+VKEW9vjnexsdwWFUULUvHiIna7yIsvipw44dz5HA6R\nV17hOVeuTF1bPIzsJ4xEkhZHdnt8cVS9ukiNGhRHhiN2pUp8btWKqltRFBVGihKXixcpPgCRJ580\nrTWxsbQM2e3mhPu775I+z6hRaRNFInTmHjiQYig2VmTOHHPlo3NnkcOHU3e+Tz9Nub1ZhKxVEiQ1\nOBxA9+7McwSY5UMiIoDAQDq3XbkCVKwI+Pkx42fBgsDhw3TEPnCA+Y6WLHE+J4SiZFG0JIii3OXI\nERZ4DQkBevUCpk5lPqJr1xjU8+efwODBTNYYFMQ8RkmxdCmwfz/3TwsiwLJlDLf/91/mSxoxggXV\nU8O1a0C5csBrrzHbdRYn+wojgOKoRw9g9my+jiuO8uQB7txhvody5RixdvIki9Du2cPs2CtWsMjf\n779TTClKNkWFkaIA2LyZeYIiIihGRozg9i1bGG0WFsbJeOvWGd+WtWspqDZvZl6+0aOB+vXTfr4T\nJzj+2bNBMLvVDbAUux34/nuqeMAM5ffzA0JDaQny8WFx2Zs3mezqxAkWzFu0iEm4DhzgjXD1qqWX\noiiKoljI0qVA48YURRMnUhSJAOPHc3vx4ixFldGiaOdO1lNr3pwT+5UrmQ4gPaIIYCh/NhBFQHYX\nRkDy4ujmTWbI9vFhXZvr17m09u23zD2xZAnQtCmX2Zo1Y/p0RVEUJXsxfTpzFIkAn33GQquhocAz\nzwBvvgn06wesWweUKJFxbThyBHjuOaBOHY5JCxcyy/ajj8YvTKukSNaslZZaDHEEcFktoTgKCqIJ\n9MQJvle5MjBhApNwjRzJRFc7dgCNGgGVKgGTJgElS1p6SYqiKEoGI8Ilqg8+4MpB48Ysm3HrFjBn\nDnDpEgVKx44Z14azZ2mdmjaNfkvTp3Oi763De1rJ3j5GCUnO5ygoiJmyw8OZtbRgQTqzDRoEDB/O\nbKbbtgGXL9MfafNmoGpVSy9HUTIL9TFSsh2xscwQPWkSx4D77gNefpkWm3/+Ae6/n6sLlSun7IN6\n+3bqg3hu3KAg+vJLrmwMHw68+ion9Eq60KW0uBiWo27d+Dqu5SgkBMiZk4IoNJQ/ypo1gU8+YcXh\n5csZrRYQwNlCrVrA339beTWKoihKRhARQWfqb79l1FmuXCy1UbEiJ8jPPw/8/DMjnxMrwRGXESOA\nunUZ7OMM4eEcd8qW5cqFtzfwyy/AG2+4RhTdupX+c3g4KowSYrcDM2bEF0dRUfzBXb9O06mvL/++\nehWoXRsYM4biaOVKvp8vH49p0oQ/WEVRFCVrEBICtGoF/PEHsHgxo5XffhsoXJh/T5/OaLCWLTmx\nHjs26XMZtc+6dKG4So6YGC6XVahAH9d8+SiKVqygj6srWLCAKyInT7rmfB6KCqPESCiOYmIodPz9\nmc8hPJziKCSEDtd169LX6PXXaRINDweKFOHSXPv2wHffWXs9iqIoSvo5d45+RPv3U5AsX87irH5+\nXArbvJk5jBo35hixYQPTvSSGIYpGjKCPUlKIcIJdsyatTw0bMh/R6dP0X2ra1DXXtmULfZNatGBY\nfjZGhVFSJCaOIiPji6McObisdv48QyEnT2Yof0QE9zEcsHv3Br7+2rprURRFUdLHwYMUJzduABs3\nMtfd1Kl8r3VrhsmLUKgUKACsX590FJqzomjzZq48tG/Pyfa2bXxesgSYNQt44gnXXNupU/yM2rVp\n8crmUWwqjJIjsWW1uOIoIoKh/LdvU703bEhHuPff577nztHsCdBRW1GyOJ07d0a7du3w448/Wt0U\nRXEdmzbRqfraNfoN5ctHnx6HAxg3jnntDhxg7qAyZZhcsXDhxM/ljCg6cgTo1Alo0IA+P3/+Cfz1\nF5fvJkxgnqTgYNdc261btEDlysWlQXXeRvaslZZaYmPNCslxa6vZbCIFC7ImTtGirKnWsqVIjhwi\nH37I/Ww2FqT18RFZsMDqK1GUDEFrpSlZlqVLWTgVYO2xDRtE7rtPpHBhFoMV4Rjx4IMiTZqIJHcP\nfPcdzzNiROLvX7wo8tprHDtKlBCZNcssACvCOmujRrnu2mJiWMstIEBk3z7XndfDUWHkLCmJowIF\nuD13bpHHHqMQGjWKN5TdLtK2LZ9nzeL5oqMtvRxFcSUqjJQsydSp7OMBFlEdP559eqNGIufPx9/3\n7FmRO3eSP9+NG4kXYb1zh2Ipd26RwECRTz7JnCLlAwdyXPr994z/LA9C8xilBocDePFFYOZMvjby\nHIWHc005NpbRajlz0vlu9WqaS0ePpqd/5crA3LkM5Tx2DPj1VyB/fmuvSVFcgOYxUrIcAwZw2cpu\nZzTY8uXAvHnMZP3xx3SjSC+xsfQV+uADFi1//XW6YmTGuGAUUq9Th9eq/D8qjFJLcuKoYEE6aV+/\nTj+kZs0Ywj92LB/33Qc89BCj1HLnZu2c5cs1S7bi8agwUrIU167R6fnoUfrzjB9PB+Xp05m/yBWs\nWAEMHEj/0+ee4wS6bFnXnNtZjOE/mztbJ0Sdr1OL3c6bo3t3vo7rkH3lCvNKFChAx+zVq5nL4p13\n+Lh4kU58Rlj/xYtMBLlwobXXpCiKoph4eQFFi3IS/Oqr7OO3b3eNKNq3j1Fsjz3GjNhbttASldmi\nCKAgUlF0DyqM0kJy4ujyZb6fPz9zH/31F2+Cd95h+ZAbN2hFGjSIeZCuXweeflrD+RVFUdyF3Lkp\nWiZPZl++fj1dIdLDxYssGVKzJl0pFi3ieR9+2DVtdmciI4HoaKtb4TQqjNJKYuIoKor+RZcvc8ZR\noADf272blZffeQd46y2mfl+8mOvKhimzXz/g3XetuRZFURSFXLlC8bJoEVC9OlOx3Hcf++qPPgJ+\n/z3lc/zzj/l3eDiTQFaowNWBzz9ngsgOHRK31pw7RwEVFua6a7KagQO5euIhqDBKDwnFkZEhO2dO\nVlW22ymOfHyYmKtTJyaA7N+f6nnmTN54Bh9/DHTtas21KIqiZHe2b2e9swMHgCef5KTWz4+i6M03\nWfrp0KHkzzFiBPDAA8CePcCcOSwm+9FHFDv//UdH5xw5Ej/26lUKiD//5OpCVmDpUq6IPPOM1S1x\nHmuD4rI/YKM5AAAgAElEQVQICUP5vb0Zyg8w10XRoiKlSzPf0XPPMfzz449FihVjqGTRouaxAHNh\nxM1doShujobrKx7J338zZN3hYGi+lxf74H79uE2EuX569WK/PWlS8ucbPpzH9+4tUrcu/+7QQeTI\nkZTbEhrKYwoWFDl0KP3XFpctW6wZU06fFsmbV+Spp8zv0wNQYeQqkhNHRYpQ/JQpQzEUHMztH38s\nUqoUxVG+fHw2jr//fs11pHgMKowUj2PJEibjbdhQ5MUXzb533Dhzn8hIkWefpWCaPTv58xmiqFo1\nPj/4oJkAMiUiIkRatGCixZ07035NibFiBds/bZprz5sS0dHM91SihMi1a5n72elEhZErSUkcFSki\nUrYss6Z26cLtY8eKlCvHH25AABNDGgnFunYViYqy+qoUJUVUGCkexeTJZj9dvbqIry+tQb/+au4T\nFiby+OMUT4sXJ3++9983+/wiRURmzHDeQhMdLdKxo4ifn/NCylkOHmTCyMcey/yJ9pAhHNc2bszc\nz3UBKoxcjbPiqGhR03I0erRI5crc19eXj3LlKJLatBG5fdvqq1KUZFFhpHgEDgcHbKN/DgigRWPb\ntvj7RUSINGvGvnvFiqTPFxvLpTKjr3//fZFbt1LXnl69KCB++SVt15QUV6+KlC/PsSUkxLXnTonV\nqznBT6r0iZujCR4zgoRJIL296WwXFsbcGA4HX585Q0e7lSuBkSOB+fNZwdnhoMNfiRLcp0YNZsnO\nl8/a61KUJNAEj4rbExsL9O7NwuD2u3FHTZsyh1ChQvH3FaETdYsWLA6eGJs28XwHDgDVqrGPLlUq\ndW26eJFJf0ePdm3gTVQU8yT9+y+wdStQrpzrzu0MLVvy+165khHaHoYKo4zC4QB69QK+/56vE4qj\n2FiG7d+5AzzyiFk+ZMkS3mgTJjC8v0ABZmEtXJhZsosXt/SyFCUxVBgpbs8zzwALFnCgjo0F3n6b\nFQm8vVN3nrNnmVplzhwm6H3lFUacpZWwMEYyuwoRtun774FVq1ieKrMJC+PYVrBg5n+2C9Bw/YzC\nqK/Towdfxw3lv3CBN2euXEBAAEVR06bAkCFAu3bMofH228CXXwI3bwJBQXxu0CDlUFFFURQlPvv3\nUyR4ezN9yty5wKefpk4UhYfTsn///bSEfPcd07CkRxQBrhVFACfVU6cCU6ZYI4oAXpOHiiJAhVHG\nkpI48vZmtuzAQGDdOppshw2jCbRGDeC115gMLDKS+/r5AY0aAV98YellKYqieBTTpwOhoXRHeO01\nIDjY+WNFmOyxShVg+HAef+QIVwTccZmoQQMuzRnjjpJqVBhlNMmJo/PnKXh8fYG8eYG//+Z680cf\nsQBt7dqcjYwbx/PcucMb8a23gG7dzKzZiuImdO7cGe3atcOPP/5odVMUhX3k55+zCGyVKkya+O+/\n7IedYf9++st06sTj9+1jfxwYmLHtTg916wLvvWd1Kzwa9THKLJLzObrvPt6oDgcznz75JB35Bg9m\nJtaNGznj+fBDZtQOCeE5mjVjLTZ3nLUo2Qr1MVLcjrAwTiznzDGDXIKD2Qcbmaf37WOm64SZqENC\n2N9+/TWLu37xBfDEE5l9BYpFqMUos3DGcmSzASVLstpyv340h9apQwHUoweX2XLnpl+S3Q6sXcuS\nIuHh1l2XoiiKu3HqFN0OFi2itWflSpZi+uEHUwStXg3UqweMGWMe53BwElqxIvvr0aNpYbp2jRb7\ntHL0KCe4ikegwigzSUkc+fhQ5BQqROfAAQN401avDrRqxeNCQ3mMvz9v8IMHOaO5etXKK1MURbEW\nETpUz5rFCeX167TyLFzIfnT8eDNM/9dfgccfp1/nwIHctm0bUL8+LfutWgGHD7O25SefsB7mokVp\na9f58zxf//4UXlmJgwe5tJjcdd28yYjqYcMyr13pxcokStmW2FiRHj0STwJZrJhIgQIiVauyTMib\nb3L7wIHMjurtzVo6Pj7MlJo7N9/PnVvkv/+svjIlm6IJHhVLiY42+1S7XaR5c/aXiZXCmDuX/WiH\nDkzkeOWKyEsvMSFhzZoi69eb+xplPtKaqPD6dZYIKV5c5NSptF+fOxIWxqzhlSuL3LnDbQ6HyMmT\nIj/8INKnj0iNGmYlh/z5rW1vKlBhZBXOiKNq1ViA7+23uf2NN1iE1suL2Vq9vJglu1Ahvt+8uZYQ\nUSxBhZFiGbdvs+8z+tIBAyiU5s+/N5v0N99woO7enaJo0iT2sUFBIl9/Hb9sRnpF0Z07rMOWL5/I\ngQNpvrwk2bnT9XXVUkP//iyXsmABv7vOnSkA49b7fPFFCtNDh7SIrOIkKYmj/PmpyPPmpcUI4I+x\na1fOiipV4rO3t0jr1lpCRLEMFUaKJVy6JFKxotmHDh+e9L5jxph96KZNIrVq8fWLL4pcvhx/3/SK\noqgokSefZH++ZUvazpEcFy5QhDRtmrmCIzKS312vXvx+/PzMsatePY5TS5bc+316GCqMrMbhSFoc\nFS9OcVSjBmc09epxe9++PMZmE6lTxzQfv/++SK5cIvXre1w1Y8WzUWGkZDpHjtCyDtB6vnRp0vte\nvkwXhEGDzEG9Vi2RzZvv3Te9oig2VqRbN/blf/6ZtnMkR0SESIMGrLd59qzrzx+XsDDWPfvwQ5FH\nHhHx9+d3Y7PREjZ8OAvfGktpWQQN13cHRFhbLbFQ/uLF+VykCB3dAgMZStqnD523p04FmjdnivuN\nG4H33wcmTWLZkeXLmQpAUTIYDddXMpXDh1khIDKSkbrbtgGVKye9v8PBkPvRo/n3qFEsm5Ew1cnN\nm8ADD9AB+4MP0ta2n38GnnuOaQJSk0jSGUSYgmDWLCYFrlfPtecPC2MNuHXr+Ni6lcE+efMCTZow\n0u/PP4GdO5nqoFgx136+m6DCyF1IThyVKMFQ0cKF2SHkzMnXvXszkm3iRKaB37ePaeCHDGGhRG9v\nhqmWL2/ppSlZHxVGSqYRG8viruvWMb3JP/8kn3Bx925OJLduZXTZJ5/cWzQ2Ljdvpi+BowiweTMz\nULuaiROB119n/+6KzNbh4WzrmjV8bNsGREezRmfTpuajWjVG9P3wA/DCCyy8+9xz6f98N0WFkTvh\njDi67z4Wmc2Rg7OlF19kXqPx45nh9fRp/j14MMNUQ0LYEbRtS9WvKBmACiMlUwgJAZ59lhO+Rx4B\nXnqJed6KFr1335s3OUmcOJFZqydNsq52mCtYs4aJKvv1S3tZqKgoCsRVq3i+LVu4rUABfo/Nm/O5\ncmXm1UvIpk3AL7+w+G4WRoWRu+GMOCpenKnqvbyo7rt3Z8G+ceOAjz9mrqNRo5iDY+VKzpiKFOFN\nUKqUpZeneAZjxozB4sWLcejQIfj7+6NBgwb4+OOPUbFixUT3V2GkZDiHD7PI9uXLtJgcOsTSF6NG\ncSJoIALMnw+88QZw6xZLLPXvT+u6p3LuHJcOH3wQ+OMP54vfxsay/1+1igktN27kWBIUZAqh5s2B\nqlXNHE+KCiO3xBlxVLIkM7Ia+3fpwm2jRrECNMA18ldfBWbP5jG5cgHr1wO1allyWYrn8PjjjyM4\nOBh16tRBTEwM3nvvPezbtw8HDx6Ev7//PfurMFIylOXLuXRTtCiweDFLdUycyKSBw4aZ1o0jR7jU\ntHIlM16PH8+JpKcTG8sVgV69WAg3KUSA//5jqai//qIYCglh39+4Ma1sLVpQZGkpqaSxyutbSYHk\notVKlGAIf61a3P7yy4zK6NKF0QOAyNChIp9/zr87dmREhhG98fvvVl+d4mFcuXJFbDabbNiwIdH3\nNSpNyRAcDvZjdrvI44+LXLzI/sxuF5k82dwvIoL53mw2pjr57Tfr2pzZXLkiMm8e0w6ULGmOF40a\niQwbxoSVkZFWt9KjUGHkziQnjkqWZAh/nToM0f/oI4qezp1FRo/mPu+9Z4b4P/aYSIUK5rnidiqK\nkgJHjx4Vu90u+/fvT/R9FUaKy9m7V6R2bfZXgwZRADRuzJDxuKH5a9aIlC3L/QICRPbsSfncY8aI\n/PVX+tp36ZJITEz6zpEWIiIYQv/uu5wcG5mlq1RhcstffxUJDc38dmUhVBi5O86Io7p1KY6GD+f7\nzzwjMm4c9+nXj+VFAOa+aNTIPNfAgR6VjVSxBofDIU888YQ0adIkyX1UGCkuZfFiTvRsNk7izp7l\nwJ8vHxMMilAoGX2jj49IqVLOld0w8hSNHZv29l25wsSSb76Z9nM4i8PBnE1ffcWkkblysf2FCnGV\n4PvvMz6fUTZDhZEnkJw4KlWK4uihh7htxAh2Ep06iXz5pZkQ0hBENWqIPPss/w4Kip8CX1ES4dVX\nX5UyZcrI+fPnk9xHhZHiMgyLN0AxIEILSIcOIgcPsj/8/nsmvw0IYL9XsyYtOCmR3uSNIqws8NBD\ndE84ejTt50mOW7dYzuS110xrmI8PS5+MHSuyezcTSWYk2XhsUGHkKaQkjgIDRR5+mNtGjuRN9NRT\nIhMncp9XX2XHAoiUKUOTq93O2mu6/qwkQd++faVkyZJyKoWZuCGMChUqJIULF5ZatWpJ27ZtpW3b\ntjJ37txMaq3i0TgcIsHBZh/Xo8e9S1VHjjADs1Eb0t+fy2shISmf3xWiKCqKZZdy5xbZsSPt50mI\nw8F6ap9+KtKiBWuQARRFffuKLFtGsZRZ3LjBWmdLlmTeZ7oRKow8CYdDpGfP5MVRvXrsLEaNojh6\n4gmRb7+lSbpXL1Y8NsywM2bwBmzdWuurKffQt29fKV68uBw7dizFfdVipKSLiAiRBx4w+7ZPPon/\nflQU+zRfX07svvrK7N+cKUfhClHkcLD4rI+PyIoVaT+PQVgYncT79hUpXdqsPVa1KgXSkSPp/4y0\n0qWLSJ48IidPWtcGC1Fh5Gk4I47q1+cNlicPrUKPPSYyfTr/7taNnYTdThG1ZAnXrBs0ELl+3eqr\nU9yEPn36SFBQkKxfv14uXrz4/4/w8PBE91dhpKSZiAiR++4zaz4mtFJs2cJi2l5eIv/7H4VQTAyt\n4VFRKZ/fFaJIROSdd3ie9FhAT58W+eYbCjqjAGvp0hRHv/9Oaz8gsnJl+tqaHubNYxtmz7auDRaj\nwsgTSUkc5clDoZMjBx82G82zM2eycwkOFvn7bzOqbcUKOjVWry6SjB+Jkn2w2Wxit9vvecycOTPR\n/VUYKWni0iWRBx9k35UrV/zlqVu3RPr3Z/9Vu7bIrl2pP7/DQbeB9Iqir75iG7/4InXHxcayUO3g\nwfTvNFKmNGtGq9CBA2YAzMqVFIaDB6evrenhzBmOC88+m60Dc1QYeSrJiaPSpSmOGjakMMqZk51L\n06ac7Xh7izz9tMi2baxOXb26yLp1zP9RtqzI4cNcZsto5z4ly6DCSEk1//7LiVxAAJfHDh+mL40I\nrSclS9It4LPP0ucI7IoBfudOLuU5w+3bjKp78UWRwoXZJ+fLJ9K1q8hPP9F/JyEnT9KZvFUra1IA\niLC/b9GC1rtr16xpg5ugwsiTSUkcBQSY4ihPHoqjBg1E5s83nbP37BEpWlSkUiXObCpU4L4AxVMS\nSyeKEhcVRkqq+O039k81a1IUnD1LJ2o/P0bUAiKPPirihH+bW3Dxosh334m0bWsukVWqxPxL69cn\nL+zCwpiPqHRpkatXM6/NCRk/nu12hf+Uh6PCyNNJTBz5+8cXR40aURwVKEBxVLeuyMKFdGR84gmR\nffs4OytbllYkIzwU4FLb5ctWX6Xi5qgwUpzC4eAAbLeLtGvH5bITJxgBlTs3l3Hy5qXF2t2Xcv77\nj/niGjZkv2qzsa8dN855x2kj2tjPL21Lha7i0iWOG/37W9cGN0KFUVYgOXFUpgw7nCZNKI7uu4/W\noqZN6eTo50fn7EOHRMqVY7mRGTPMdX8jxf6hQ1ZfpeLGqDBSUiQqimlDjOSyMTH0KSpQwLR0P/20\nyIUL3D80lCLKXQSSw8H8QUOGiFSrZkaRtWsnMm1a2iaQU6bwPEn47mUq69bReqWoMMoyJLesFlcc\n+fhwrTwggKbrZcu43yOPMFmZYS1q397MF2KzsQP4/HOrr1JxU1QYKcly7BhThHh7c8lJhH1Pjhx0\nRi5YkFZsg6tXmUQxIMD5JIoZ4RMZG8tM2wMHmn1jUBD9hRYuTH+ak2PHaGFS3AoVRlkJZ8RR06YU\nRx9/bPog/fGHKZyOH6fVCGA4f8eO5vmMRJGKkgAVRkqSHDpEx2KbjSH2IqxVZvQpXbrEd/Y1yn8U\nLEinZ2cYPpzncYU4iomh9aRfPzONQKFCIq+8IrJ8uXMpAhSPRoVRViM5cVS2LENimzUzxZGRFHL5\nclMoGWv+AJ/jZtw2itNqxJoSBxVGSqKsWsU+x27nMllsLPP4+PlxMvbrr/H3P3yYkWolS/JvZ3BF\nnqKYGDodV6zICDKALgQDBtB52qpIMcUSVBhlRRwOhoomZTnKlYvp9L29mWHWqLX2119maZFTp+hn\nZLNx5mb4BjRtym1PP63r0cr/o8JIuYepUymIbDZOxvbsMZfnX35ZJOFvZft2+htVrsx8Os6QHlEU\nEyOyZg3rkRlh9QCLcG/erJO/bIwKo6xKYuLIcMguW9b0KzLEUd68jEBbtYozptq1maXViLjImdMs\nJ/LoozzXww8zTFXJ9qgwUv6fmBhWnTf6nt69RSZM4ISsVKnEszqvWkUL0sMPOx+ynhZRFBvL5Lb9\n+4sUKcLjS5Sg1RwQ+eEH58+lZFlUGGVlHA7WR0tMHJUrR7HTogWdHz/5hO/lzcuOq0AB1i46c4ZR\nazabyBtvsKq1lxePK1KEHd2+fVZfqWIxKoyU/+fjj82gjSFDTCvRq68y0iwxNmxgkWtnnZlTI4oc\nDobCDxrEJTqAudsGDKBj9TffcNvHHzt/jZ6Mw6EVDlJAhVFWJzlxZFiOHn2UYqd7d27PnVvkzz/p\ncFitGsVRp048dv58hvn7+jKqrWpVJoS0sraPYjkqjBQRoeN0zZr0Ierbl31JyZKu7R8++cQ5UXTk\niMhHHzHRIkAH8FdfFVm71vQZWrqUy339+mVsWoCbN0VWr86486eGqVP5fzl3zuqWuC0qjLIDzliO\nWrakOHrlFc70/P2ZnbZoUa75nz4t8vzz7ERmz+ZNnjs3k0UaVqfHH9d1+WyKCiNFRLi0/vDDzLAP\nMKzd1b+J7duTDnG/eFHkyy/ZLxmTvBdeYImRhNFkmzezn+vYMWOdqx0O+i0FBYmEhGTc5zjDmTOc\nyPboYW073BwVRtmFhOLIxye+OPL3Z50eu50mZpuNOUYWL2Z0RsWKdMju1YvvTZ7MLNn589OqZERy\nlC/v+o5QcXtUGCnicIjMmsUADqOs0IcfZvzn3r5N36DWrTlB8/Fh0sWffko+QKRPH/pQZnQQiVGA\ndsGCjP2clHA4OHktWlTk+nVr2+LmqDDKTiQnjsqXjy+OBg1iJ+PtzcKzJUtSQJ04IfL66zxm/HiR\n/fspnAoV4nEAO0VnU+IrWQJDGLVp00batm0rc+fOtbpJSmZy6RJrLwKcRAEi776bcRbkmBhG0b7w\nAp26AZbj+PZb5wugxsYm7fPkKrZtYz87YEDGfo4zzJrF72npUqtb4vaoMMpupCSOjBIhdrvIBx9Q\nGHl7M5dHmTKsv3bsGIUTwERt27eLFC9Oh22jk/L2ZuJIJVugFqNsRmioKXoWL2ZKj/z5GbDh5UU/\nloTcvu18FuukOHSIedSKF2c/U6ECHbHdsdjs9esMTnnoIZHISGvbcuECA2uCg61th4egwig74ow4\nat2aS2YffcROr2JFzn7Kl2d469GjIsOG8Zi6dbnsVqoU19GNTssQTkqWR4VRNuLoUfodvveeGbDR\nsiW35cmTeHX2q1fpe1S5cur9eUJCaAkyQuqDguhEvXmz+9RRS4jDIdK2LcXIyZPWt6VDB/bjV65Y\n2xYPQYVRdiU5cVShAsVRmzYURx9/TLFToQKtQ/ffz1T5hw6JjB3LY4zIj1Kl6PBYp4557i++sPpq\nlQxGhVE2YeVKZsjPl499QECAyMiRyafuOH2agqhAAfYfzhAbS5+c559nX2S30z9m/nyR8HCXXlKG\nYETOJczsbQVbt7It8+db3RKPQYVRdiYly5GvLzsjm40CyPAz2rGDtYyKFKGP0YQJPKZ2bTOVfo4c\nnDF5e/PvH3+0+mqVDESFURbH4WC0V9zSQI0bs7bijRuMPrtw4d7j9u3jpKpkSU6kUuLUKTpsBwWZ\n/dDYsZ4XWj55ssjQoVa3wmTHDqtb4FGoMMrupGQ58vUVeeIJ03JUujR9jXbuFKlenebZf/4RmTKF\n+zRpQjFUsCBneePHs9ME2MG5q+lbSRcqjLIwkZHx+wi7nVailJbE/v6bS0nVqycvbCIjRX7+2Uwk\nmyOHmTHbFf3F9u2e0e/s3y/SuTNdE4YMYXRveDizdGe0k7gSDxVGinPi6MknTXFjOGHv2sV6avnz\ni+zezfxGdjsTRubNa4bsfvEFHbkB5kmKjrb6ihUXo8Ioi3L5sunbA7Cm2K5dKR+3dCmXwJo0oUUp\nMY4cEfnf/ziJAkTq1zcj29JTEDYuf/xBZ/Dvv3fN+TKK6GhesyHg5s5lXcrgYOcsbYpLsYmIQFFE\ngN69gWnT+NrHB/D2BsLDgQoVgNOngVatgGXLgDFjgO++AyIigFq1gHPngBMngJUr+RwcDDzyCJAz\nJ1CqFPDll8DQoUDJksCrr/I8P/0E5M5t7TUrLiM0NBSBgYG4efMm8uTJY3VzFFcxYwbQqxf7h/bt\ngR9/BPz9kz9GBOjQAfDyAubMAfz8zPeiooAlS4DJk4HVq4G8eYFu3YCXXgIWL2Y/MWIE8MEH6W/7\nnj1A48ZAs2Y8t7d3+s+pZA+sVmaKG5Gc5ahiRZq427Uzo82KF6fpu0oV+hcFBops2SKybBn3ffxx\nJk8bM4bH9OvHGVxAgEitWoxuuXXL6qtWXIBajLIgs2fz/k4q/D45wsLiL7UdP868RoUKmf5JP/xg\nOlKnpSBscpw+Tefw2rWdr7+mKHdRYaTExxlx1L49X48ezUgUu50h/HXqUPRs3MiQXX9/FpC8fZuF\nGm02kW7d6J9UrBhN7WXLstNUPBoVRlmIO3e45G0EVBw9yvpiqRVHMTGMyjICOAID6S+zf3/8/ebP\nd60oCgmhX1OpUok7hHsCW7aIrFtnzWdfu8ZJbKtWnMDWqMEou4QlVbIwKoyUe3E4RF56yTlxNGoU\nI9W8vOhrVKcOkzyuW8dH7txMu3/zJtfNvb3pR3DgAP8GuP9ff1l91Uo6UGGURdi9m6k3/P0ZWeVw\niHz3HfuAVq2cy2R99SoH0jJleH/XqiUybRoFV2JERroulDwqij6OgYH3CrCMIDo6Y+qfFSlCR+zU\nEhvLLORp5do19tdx/ciWLeMktl69jC+f4iaoMFISJyVx5ONjOkqOHMlt3t4sSFu7NvddtYozn6Ag\nRlpcu8YZpJ8fLUmbN5uZsgFGvXlC9IhyDyqMPByHg0ESOXKI1KzJiUtMjMjbb5tBEylZDHbtEunZ\nk/d3jhws17F1a+be06++yr4psyrZDx7MABVX5lY6eJAWtq++Sv2xU6dSFKZVHL35ZuI13QYOZJve\neSdt5/UwVBgpSZOcOLr/fr7u0MEUR1WrskP08mKWWz8/keXL2WHmz88O9/JlWpL8/Lj/f//R5G18\nRocOGprqgagw8mAmTKCVABB54w2RiAjeg08+yWXyL79MXNyEhNDa89NP5vElStCn8PLlzL8OEZFN\nm0Tmzcucz/rrL4qF0aNde96pU/m9792buuOuXGHizW7d0v7Z1avTHWLVqvjb//6b11qmTNrP7UGo\nMFKSxxlx1LGj6SNQvTqtQOvXs2PNkUPkt9+Y6K1wYWbAPXOGNZUAOnCfPi3SvDlf22ycgaW3ppKS\nqagw8kCiosxgipw5eZ+KsIRF9epMt5FUvcPNm2kJDgzk8c2aiSxcmH1ScVy+zCr1LVq4vlDuCy8w\n3Ulq6dmTx6VnKe3ppynKElqNjhxh3+zvn/ZzexAqjJSUSUkceXuLdOpkiqMHHjDT/z/1FPdfskTk\n8GEKofLleaMZS3FBQRRCb7xhJpDbvdvqq1ZSgQojD+PMGbOmoZ8fM06LMEq0aFFaBhLz0Tl40PQv\ntNlEnnsu9ZYNT8fh4KSvQAHXZeSeN4/+mXXqsP8rVIh/163LGpUpsWED/yfffpu+djgcIhcv3rt9\n5Ur+v6tXN7etXUvrVP36Ir//zmMnThQZMIBLmo0acSlVRGTOHJE+fURee43bM2upM42oMFKcwxlx\n9PTTfD18OB0u8+XjjfHMM3x/wQJGoJUuzeWzo0dF3n+fx/j60h9pxgz+XauW50aUZENUGHkQixfz\n/gUST364YEH8pTCHg8tGjz9u3v+lSnFykxrWrMkaPoRGCaRly1x/7tOnKUDGjXP+mKgokWrV6L7g\nauuVQffuFGyG35PDwX5dhP5HhQox4nDtWvOYV15h1PGIEfzNGYwdS1HpxqgwUpwnOXFUqRLFzzPP\n8PWHH3K2kzcvBU9wMDvhefM4W61QgXlGDh7kbMJu5/sLF4rs2cP3Spfm+4rbo8LIA3A4WGbDuH8L\nFGDqjKSIimKuIWPZu1gxDtodO6be2djIUxR34PRE9uzhxK1//4w5/8yZ7AsNS0tSjB3L5cvmzRkV\nDNDC1Lx50o9mzTh5TS1HjrCvf+QRU3ht3cpyTyLs2+12WpXiMmgQtydM8zBxIrdb5YfmBCqMlNTh\njDh69lm+HjaMs5igIPokvPACb4jZs2kNqlqVM41//uGN5ufHjvfXXzlzqlqVwmrDBquvWkkBQxi1\nadNG2rZtK3PnzrW6SUpcIiNZ89C4bxs1SnpgCg0V+fxzOlIDrGHWubPpnJ1aq4SrkzdaySuvMIjE\nlVFocenZk87Pzn7Hly/TP+yNNzKmPdHRnOA2aBA/KGbDBnP5tUQJkTZt7j32scco2hLSty/9UDPK\nuj2KwY8AACAASURBVOUCVBgpqSfhzDOhOPLxoe8BwArT9erRSfPvv/m3zcYlsytXOBvNl4/Vnw2n\nbF9fkV9+YY2l5s35+uefrb5qJRnUYuTGnDhh+q4AIm+9lbiT9KVLXNoOCuIEp1s3Tlr++Yf34Gef\npf6zM0IUxcTQX8UK36aYmPQ5N6dE2bIirVun7pjff2eeuIygVy+2J6kcVP/9x/7888/jb4+JYQ67\nXr3uPaZixdRfYyajwkhJG4mJIz+/+JYjY5b5wQecceTJQ6dOo3r25Mki16/TqhQYyFDbiAia6r28\naMaPiKCp1mZjnpVZs9hha5p/t0KFkZuydCmFTqlSdJw1LHlxLR4nTtAp1s+PM/k336TFNi4JXztD\nRlmK3n6bIi8jfHysxPAvGjPG6paQDz+klT9uaZeECR4nT+b/ImFh4c2beS2zZ8ff/s8/3D5tWsa0\n2UWoMFLSTmrE0fvvsz5S7ty0Chmz16+/5myncWN2ymvWcDbbowdvoIkTaXJ95x3unzcvj73/freP\nbMhOqDByM6Ki6BQLMIrs+nXerw4Hc45VqcKo0W7dOAkpUIAC5to113x+Romib7/leb/80rXndQcM\n/6JNm8xtX3yR+L5jxpg+Rs4+mjVj9LAzTJvGyLKEPPdc/NfBwbT4J2T0aF7L2bPxt7/7Lpf+jGzh\nbiqQVBgp6SM5cVS5cnxxNHiwSNOmFEBG3iKAN//t20zlbySFjI1l2KdRk83hoIiy2UxHbYD7KJaj\nwsjN6NaN997nn5uRYLdvm8ERVarwXipenCIjqaWStGA467paFK1Ywfu+b9+sEd2WkH79+L0Zy5zH\nj2ec71By/PEHRXVCoqIosuNStCjTriSkVSumZYmLw8EJrVHq5N9/KaDdEBVGSvpJSRx5eXFmAYi8\n9x5FUa5cph+SUQ4kPJwOojly0MfI4aA5FxD53/84y1i8mP4Ovr7s2AEuEeiAbCkqjNyE1au53LF3\nL336DE6c4EBlTCjKlWMNtMjIjGlHakP5U2L/fi7Ft2mTdZNIDhsmUrAg/755kwIiI+qwJceOHfye\nK1W691GiBJ3PDYzSJQmtd9HRXBno3Tv+9l9+YQWESZPYt3ftSkumG6LCSHENyYmjKlXYIT//vCmO\nHn2UJtW+fc1jRo1iR92pE2e7RmHJ8eP5fmAgfSHWr6f5Nndu89icOTV6zUJUGFlMVBTvq8QGqgkT\nzLxFZcrQ7yMxceFKq5EruXSJqTuy+gTo+nVaWoKDafGzIvt/tWq0yCf1iOtkvXGjWbkgLleusAju\nunXmNoeDuenmzmXY/7PPurUrhAojxXU4I466dDEtQK1aMZrtww/j5z+KiqKIMkL7RUSmT2enb7Ox\nLtPff7OTz5PH9FcKCHDrmy0ro8LIQk6eNKM9W7Uyw6A3bWIEEEAL7ZQp8R1pDRwO+qyUK8dIUHfj\nvfdYTsgID88Mrl/n57pbNXlPXUL86y/+Dj0Ez2mp4hk4I466djXFUZs2pl/R6NGmo3Z0tMiLL7Kz\nnzKF5164kOfz9eXa9m+/idSuTWtR9er0X7LbuSznqR2Ih6LCyCIWLuTkwMgBNnIknarbtDEtqU89\nxclGYkRHi7z8MvcdMsQ975uYGPrbZBZGVuegoLRF42UUkZEsv/Hrr1a3JPW0asWgGw9BhZHiepwR\nRy+8wNcDB9KvyNeXTn/jxnH7oEHsEF97ja8nTOC5V6yglSkggOf9+mvmxPD2ZmmDd9/l/h07Zm2z\nu5uhwiiTCQ837w0/P/puTJli1h+sVIlZ5pNLRBgaSgHl7e220UGW8MMP/A5/+snqlsTns8848du3\nz+qWpI49e/h9elDSVxVGSsbgjDjq1s1MONe2LZ2uf/3V9Ckysuy+/bbpoC3CZbSgIIYYA/yc7t35\n95gxdNDOk4cREIkVwlRcjgqjTKZ7d95DNpvIQw8xWshmY4LAmTMTXzKLy7lzIg8+yAnGihVpa8Ok\nSSLnz6ftWHflzBn2Lc8/b3VL4nPlCn0sEwuhd3e6dGEeLQ9ymldhpGQcKYkju90UNG++ydmujw+j\nFyZN4va+fdnJDxli+iA5HJyFFCrEJbVGjWhmNvbp21fkwAGWFMmVi07c7rhEkIVQYZSJnDlDMWSz\nMaO1lxfrmE2enPSSWVz+/ZcRRsWLM+FeWhgxgvfapElpO94dcThEWrZknUZ3i5Z6/XVO9ty4vliS\nHD3qcb6fKoyUjMXhMH0YUhJHb7zBiDQfH1p9pkxh51+rFjv8UaO43zvv8LyHD7ODL13ajOAwMrF2\n6MBOxEgJULiw5xewdGNUGGUiq1fTqpEjB5fQPv00dU7CnTqx3lfC5HvOYoiirFD7LC4TJ/K6li+3\nuiXxOXCA4veTT6xuSbbBJiICRclIRIBXXwWmTOFrHx/AywuIiACqVgUOHgReeAGYORPo3x+4cAFY\nvBiYNw9YswaYOBEoUQL4919gxgzgzTe53/jxwJkzQMuWQGgosGIFUL06sGwZ8NxzwIMPAr/8Ajz/\nPN8DgP/9Dxg9mp+vuIzQ0FAEBgbi5s2byJMnj9XNyZpERPBeGDUKiIwE3noLePRRYOtW/q6d5eZN\nwG4HAgJS34aRI4EhQ4ARI4APPkj98ckRGQnkyAHYbK49rzMcPQrUrAl07w588gkQHh7/ERHBR2Rk\n/EdUFB/R0XxERQExMeYjNtZ8jo0FHI74D2PKCJjPBjYbH8uXAyEhQOfO/H7sdvZfxrO3Nx8+Pubf\n3t7c18cn/rPx8PMDfH3Nh5+f+fD353M27iNVGCmZQ2rEUb9+wJUrwM8/Az/+CGzbBnz6KZA3L7B7\nN/DHH0CfPsDLLwPffMN9H3sMOH2a7z38MAeLJ54AChYEvviCn33qFD/7gQeApUuBkiWt+z6yGCqM\nMhCHg5OEwYOBs2eB3r2BoUOBJUuAN94AatQA1q/ngJaRZKQoio0F2rcHKlYEPv88dcc6HBR7N27w\nOSTEfISG3vu4fTv+484d4NYtvudwpL7tXl6m4PDxMfu2uCLFEDGGoLHbKXrsdp7DEIPGsyGYbtwA\njhwBypYFAgPZPkNgGWIrNpaiLK4giyvU0oqPD39T/v5Azpx85Mpl/m28zp2bj7h/G4+AAPORJw9Q\npEja25OJqDBSMg9nxFG3bsD33wN9+7JT+OknYM4cipp33uFNunYtcOAA0KsX0LUrMG0aO7gnngD2\n7qXFqHlzdiitW/P8ixYBX3/NcwGcEc2YwVmYkm5UGLmYo0eBVauAKlWAt98GduygcBg7FihWjJOC\nefN4n3z2GWf9GUlGiiIAGDSIgujXX4F69YBLlzjhuXIFuHwZuHqVj2vX+Lh6Fbh+nX3EjRv3WlsM\ncubkgGwMzMYgbQzaxmBuDPhxB37DemJYUBJaWXx9TQtORrF8OTB7Nh9psaSJUDgZVi3DypXQ+mVY\nxCIi4lvJwsOBsDDzOe7jzh0+DHEZ9zm59ngAKoyUzCUlcXTgANCjB0VLnz68yebMYccQFsYBwW6n\nYIqOpjDq1An44Qfe8B06cPY8fz7Qrh3w+utcTgsJ4fLc5cs0l0dH8/OfeYbnzuiBJYujwshFiPDe\nGDCA98bt20CdOhQ/TZpwOfnpp4Hz54HvvuOScUYTGcnPbts27aLI4eC9d+4cH+fPc8n8wgVahPfu\nBYKCeI8ntHLY7UD+/ECBAuYjf34gXz4+8ublc1AQ/w4K4iNPHn6HSuYiwv/jrVv3Pp580urWOYUK\nIyXzSU4cVasG7N9viqNXXuH22bO5zJYjB608IhQ/3t4cHB5/nGIJoE/R0qXcf/t24MsvacK9do3b\nGjQAWrQAjh1j53nkCFC4sGVfR1bAEEZt2rSBt7c3goODERwcbHWzPItLlyjaly/n60KFKIief57i\nYMYMWojKlwcWLOCyU1JcuAAULeq6tkVGJj95uHULOHmSlt1Tp7isfeaM+Th3jks8Bl5evOcCAnj/\nVaxIwVekCLcXKsRHwYIUPRlplVGUBKgwUqzBGXHUsycHg5df5izy++/5Ol8+WoYefZR+FqtXAx07\ncvls0SKeq3dviqBJkziL7NWL5w8Npb/SgAH8/EWLaD5fvJgzcyVNqMUonSxZQh87YxmibFkKpPLl\n+fr8eYqHzp2Br75K3p9o+XJaQidNokXVFcTG0r/pv/84oTh2DDh+HDhxgo/r1819vb0ZLJHwUawY\nH8WLU/CcOQM89BBQuTKwciUnPYrn888/tOgVK2Z1S9KMCiPFOlIjjl56iftPm8YlhGLFgKeeApo2\npajZtIlLZw8/zKWznDkZvTZhAv0y2rcHnn2WS3WxsXRa/ewzzqw7dqQpf8oU+jgpqUaFURoJCeFv\nbtkyvrbbgWHDuGSV0Epy4gRQpkzy5/vmGwYvtG7NwIXURp5dvQocOgQcPszHkSN8HDtmLnHZ7Qxc\nKFuW7TEepUsDpUrR6pNSRNOtW0DDhnzevp3LY4rnI0KLfM6c9JHzVKzIEaAo/09yeY6qVWMeo169\nzOdXXuF7U6awMKG/v0iLFqwMvn49M/k2bCgSEsJzDx3K/d99l/sYZRQA5jqKiGDZhJ49zVxKHpSh\n1V3QPEZp4PJl/gaN32P58mnP1B4TwySpgEj//slnvnY4RC5eFFm1SuTLL3lPNW7MnEhGW2w2Fmlu\n3VqkXz+W5PnjD5EjR5hMNb3s2CFSsiSTTWY2muw149iwgb8fT6znFgcVRor1pEYcvfiiKW6++YZJ\nG3PlYgHZW7dEtmxh8rs6dUSuXeP5P/uM+7/2GkuMLFzIQSBHDpHmzU0R9fXXrBv1yCMiV69y4Nq6\n1dKvxlNQYZQKYmKYTDAoiL83I2lpWgVHSIjI448zselXX8V/LzJSZPdukRkzKJxatBApWNC813Lk\nEKlRQ6RzZ5Hhw0V+/pliJbkaa67CFQIrLfTpIzJsmDWfndVp25aJe2NjrW5JulBhpLgHyYmj6tUp\nil56iZ1/jx6cxQIUMxs30lLUqBELY+7aReFTs6aZQv+773iOrl2ZRTsykhamoCAODOfOcb81a1iD\nzZgt22wcUG7ftuyr8QRUGDnJ9u0itWvzt9url8jIkfwdppX//hOpXJl1tH75RWTTJoqjnj35+/fx\nMe+pcuVYXPnDD0UWLBA5dCi+dXTkyKxfTHb1avctZeJwiPz+u+eKigMH+N3OmGF1S9KNCiPFfUhM\nHPn6muIIMMVR9+4iAwZw24QJIps3c3CoV48z327dWAakcmWz0OVPP3GG3r69OSPet481o0qWFDl4\nkNtOnuSgYrNxRu3jw7IjK1da8rV4AiqMUiAkhDX8bDb+tjZvjv9+bCwLIDtbtiYmhnXOBgzg775S\nJZaNMO6bWrV4r0ycyKLLoaHJn2/4cB47cmTars8TuHOH4rBxY/cUH8uW8X+QHqFsJS++yDpzVlkC\nXYgKI8W9cDhMP6KE4qhatfji6IUXRN56i9u++IKz8bx5KXJsNpEmTXijli8vcuoUz//bb7REtWjB\npTcRkdOnWXA2Xz7OuEXYibZvb7YjXz4+d+/O/ZV4qDBKgthYLuUWLcol388/v9eH7dw5Lt/abCLj\nxiV+npAQkT//ZKHkFi1oIQV4H1SrRuvTt9/Sdye1A5MhirJa7bOEDBrEvuTwYatbci8Oh8iDD7LP\n8kQfqHPn2FdnkXpuKowU9yM5cRTXcuTlJdKlCzs8gMU0jWW08uU5eJQrR4tQqVIix47x/GvX8r16\n9cwq2tevcybp5yeydCln5A6HyOjRHLB8ffnw8eFgZBSyVUREhVGiHDvG3x1A4ZOYoF62jL/XokXp\nDG1w6RL9ffr1M62XAP2D2rWjdWnNGlPcp5XsIoq2b+d9O3q01S1JnIUL+X9Yt87qlqSNd99lnxoS\nYnVLXIIKI8U9SY04Cg7mjQmIfPyxyN69HEDuv5++QoGBFEfFitGvQoQdZf789C+6cIHbwsPpg2G3\nc6DasYPbly3jTZ83r9kWQOS55ziAKSqM4hIZKTJqFH+vOXPSmpNQRN++bQYRPPkko70WLuS2KlXi\n+wX16EHfn8OHXSvGM0sUXbmSsedPiago3ucPPMC/3Y2YGFqsW7a0uiVpZ+3aLOFbZKDCSHFfnBFH\nvXtTHHXuLPL++9w2ejTDngsXpu9Fo0bcp2hRbjNChPfv57by5elXJMJOKjjYXKYYMYJLHwcOiFSo\nQIFUpIjI22/TSTtfPpHZs7O99UiF0V3WrqVfm91Oce7lJTJ1avx9Nm+m4MmRQ6RVK0ZQGhahcuUo\n+OfMETl7NuPaOWJE5oii6dMZ4GDl8vOoUfw/7NxpXRuSY+5c/i+2bLG6JcpdVBgp7o2z4sjbm+LI\nyFs0YgSdqYsWpeWoRw92jpUq0VK0axfPf+wYrUrFi5vWJIdD5KOPzM+sX5/7Xb/OWZ2XFyN/Ll3i\nZxqz/owcyNycbC+MLl+m/xkgUqgQn+vWjT8YnzrFFBPVqlE4GUtjzz9PAWGI84T8/rvI0aOube/X\nX2e8o/WWLRR/vXtbO3H491/6X7kj0dEiFSuKPPGE1S1R4qDCSHF/UiOOnn2W4cgAn48coeipUIGh\nuteuccAKCjJnaOfOcfmiYEHmfDGYNo0iKGdOOs5Om0ZTvJFIr3dvLpssWUIrUmAgzcnZ0HqU7YXR\n3r0iefKI5M7N38GkSfytbNkiMniw+Tv18qIv28iRFE3JRUfF9XF7883MuxZXcP48Ax/q12cSVSVx\nZs3i78JdrVnZFBVGimeQnDiqUSO+OHrmGdN/YsgQ5nopWVKkbFnOykNCRBo04LLYhg08/5UrzC8T\nGGhGpokwg6u/v2kFePpptmXGDM6GGzemteD6daYIAEQefVTkgw+yRNiqs2RrYRQdzQSjAJdhf/yR\nv9UiRcyIxq5dmS7ixg3nznnrFn9rxm/YHcPLkyIigoLovvvMVBlK4ty8yd+L4laoMFI8B2fE0csv\nc3unTpxtA5yxnzjBJbNSpUSOH+fA07w5rUF//cXzh4RQ6OTKFT9n0ZYtXH4rUYLRQAZ//02fpVKl\nRPbs4bZffuHxAAfGxYuzhQUpWwujyEjmcHnsMdNBv0wZppJYty71JWaOHaOFKVcuOmR7Gi+/zEmD\n+swoHooKI8WzSI046tBBZOxYs+TCqVN0tC5Rgj4bYWEczHx9md9IhPmLWrdmx75kifm5hw5RABUr\nxqSQBqdPM/9IzpwiixaxfQ0amO0DRB5+OMuXFsl2wigmhuH1L71kiqH776elcPt2CvG0sHIlLUzl\nyllTRyy9TJnC72L6dKtboihpRoWR4nk4I45eeYXi5qmnmDQPEBk4kA7S999PM/+hQzT7t2/Pc3z/\nPc8fGcnlOC8vRpwZnDvH8wcFmUtwIhRTzzxjOn1HRbE4p7+/Gd1mhPcbuZSyGFlaGEVH02do5EiK\nlUGDKJABLs8OHkwfI4fj/9g77/gm6jeOf5O06R7ssvcesjcoq1KwCIKCgyXgQhEciIACLkBAQBAQ\nkaEMUUA2P0T2rGyEyt5SoFCa7pHc8/vj43FJmnFJLqPt9/169aW0yd03l0vuc8/4PIgcNmmCIn9b\ng1wt8ccfOFeioyV/LVfxdDp3+HDMIuMUfHzR+kAhuDDi5E/kRo60WhjiiYNkR41C3UOdOkh1nTuH\ni4c4WVzs1NHrMW9KpTKdq5ScTPTUUzCCXLfOdD1iJ1u/fhBLd+/CnVtco1YLsRUf79lj5QFEYRQT\nE0OxsbG0cuVKby/JdQwG1H9Uq4b3r3hx/LdYMQiAw4elNGlmJgSSnx88aZxJI2VlYbyNo4LKGp9/\njtSwp8WRUuvn+C5XruDzcPSot1fiFrgw4uRfBIHojTfsR44CAjD1edYs/O7ddyFa6tdHJ9rff6Pu\nSBRHgwZh2waDNI9tyhRpv1lZiBCp1aZtwIcOwYk7KAhRA7F9/+xZaT1aLRyLCxgFKmIkCBC9lSvj\nPRM9hjp3Rs2YudA4cABRSH9/iGNfKLr3lE+Rr/H++4XvNXuDMWMQOc/I8PZK3AIXRpz8jSPi6Jln\n4D/EGNHbb6ObrGFDCKJTp/Ahr11b8i7KyMD2RW+kjz+WIgR6PbYh2gIIAtJnGg3SKyVKwEPpr7+k\nta5YgTWpVEjHFKA25gIhjAQBU+fLl5fOJ7Ua59RHHyEKaMyjR3CqVqkwXsa49sybFFZRdPIk3i9r\n8+Y4ypCdjS7dd97x9krcBhdGnPyPXHEUGEjUrRvM7RhDLYTYpl+kCEaAGAyIDDCGOhKxJmj6dPxu\n+HCpdVoQ4Korbl+vh8Bq2VIy7wsMNG3H1esxaNHfH2vLjwW2Fsj3wig+HueQWA8mzsR77TXUllni\n22/hWzRrlu+kjwqrKDIY0PRQp45v176sWZP/009r1uAcO3PG2ytxG1wYcQoGtsTRE09INUeBgUQx\nMUiBqVT43cOH6ByLiED3mCBILsaBgZJ4WbgQz+nf37QFe/FiRIp69kSUyWAg+v57hJq1Wmxn3DhT\nL5qTJ/ElHhCAC6v4t6VLEYGS63fjI+RLYSQIKHju2hXvUWQkvK3UatSXXb1q+/k5OdZFkzUSE90n\nogqrKCKCrxhjMHH1VTIzEWl5/XVvr8Q1oqMRUS/AcGHEKTjIFUdBQWjT/+EHCJ0hQyBE2rSBe/Gh\nQ9jW6NGSwZ6YQlu1CgW2vXqZpsI2bcJ227WTOoru3TMtvu7dG8NDRTIypBqmp58munULRoFaLdbe\ntGm+afPPd8Lo9GnpnGjYEA7E+/djPMeFC+7Z5/796IZ0xygOMUXsKVGUleU7UbKkJERnX3zR2yux\njXhjdfGit1fiPFev4jwrQANjLcGFEadgYUkciVEbc3EUHU20aBEiBIMGoeOsfXukR/btw/ZEk8jR\noyVxtHkzBFeXLqZC59AheNDUq2c6N233bqwpJASeR7duma55+3Z0yBUpgqiVRiM5bYtmgb/84tNG\nkflCGD14AFNOIkRuevSAuae7j6vBAGNQcRyIO9ygb9yAOPIEYkS1Vy/fOCfffhufWUejd57EYECB\n/nPPeXslrjF2LL6jzOvtChhcGHEKHnIjR8HBEDdLlkAc9e8Pi/6OHfE3sXts5kw8Z8QI6UKwaxe+\njNu0MU17xcejeLdCBQyxNebUKfw+KipvO/f9+7hQM4ZaCVEYlSol1b0UK4bp7T6IzwojQYBgHTQI\nYrhqVfkX8507TcfDOMP9+1KqbuxYx12wfZHvv8frMfb48hYnTuDzMWOGt1dimw0bcMwOH/b2Slyj\nSxfUWRZwuDDiFEysiSOVKq846twZtT0aDdrtdTp8AQQFSaNB5s2TniPWA8XFIcrTsCHSZiK3bsHL\npmjRvF+Ed+8iPx8QkHdGkiBg+npQEAwCJ06Uho8WLYrX4OeH1J+zzspuwueEUVISiqPr1cPxK1MG\nqUk5Bptnz6JInzEca2fZuxf7LVGC6H//c347vsTJkzh3fcXE8cwZ3ND4csE1EVHbtriJyu8IQoFt\n0TdGRUTEOJyCCBFjb73F2IIF+Le/P2NqNWM5OYw98QRjp04x9tprjK1YwViLFowNHszYoEGMPf88\nYz/8wFjfvozt3MnY+vWMde3K2JIljA0Zwlj//oz9+CNjgsDYwYOMvfQSY5GRjO3YwVi5ctjXo0eM\n9ejB2PHjjK1Zw1i3btK6srIYGzaMseXLGfv0U8YmTGDs/HnG6tTB3+Pjsc1//mFs6lTG6tZlbNYs\nxlq2ZCw0lLEpU7D9oUMZGzeOsbJlPXpYLZGSksIiIiKYTqdj4eHh3luITsfYu+8ytno1Y7m5jDVq\nhON99ixj5csz9vvvjDVpIj1er8dzdDrGrl5lbPZsxrZsYaxUKcb69cN5kpuLH70e77kg4NxijDGV\nijGNBj/+/vjRahnbvx/nUP36jH32GWOVKjEWEsJYWBjew+BgPDc/kZqKYxcSwtjhw4wFBnp7RfmD\nI0cYa9UK3yPPPuvt1XDk4G1lxuG4FWuRI7VaihwNG4b6nw4diJYvR1TmhRcwaLZHD9QobdqE7a1c\nichS377oNCteHEXcFSpgltrly9K+MzIwbkSjyVusKAhS/ZKYaunYUUrdZGURjRyJ33frhoiUmAJK\nSyOaOhVRpMBAjDp58ABpmg0bvJL/95mIkcFA1KwZokOhoTh+NWqgY3DgQBzLpk2JKlVCB5rxTDtb\nP/7+iOSFhuJ54eH4b2gofq/VSkaQcn7UakQbK1VCxLFjR6I+fRCR/PhjpIaWLSPato3o+HFEIb1p\nHCkIKG4ODc3fxcPeoE8fnIPGXakcn4ZHjDgFH2uRo9xc3NGfPo0IzqpVuCN+4w3GBgxAxGfZMvz/\npk2M/forYz17MrZuHaIJXbowZjAwtn07Ikn79jGWlobIUd262Jdez9jw4YwtXIhIz+jRppGCdesQ\ngSpThjE/P0SOunVDlKFJE8a2bkUUS6Nh7OefGevcWXpuSgpjM2Yw9s03eD09eiAKFRTEWHQ01vrM\nM4wVL+7wIdu/fz+bNm0aO378OEtISGDr169nPXr0sPp4r0SMsrMRVYuPx38vXGBs927GHjwwfZy/\nP2OlS+MnKoqxEiXwU6wYY+HhjI0Zg2hIv354r0qXxjEMCmIsIADvi9zojsGAdeXkIFKVmclYRgZj\n6en4SUvDvlJS8JOcjJ9HjxhLSmLs4UP8PHiAx5oTGYkIYVQUzpmyZfHfcuXwU748YyVL4nxQkh9+\nQHR11SocJ458rlxhLCGBsbZtvb0Sjly8rcw4HI8gCKiLsBU5eu01RAHatydavRqP6dULEZrnn0ck\n6bffsL1NmxAl6NoVTrsBAfAlqlkTkRxjEzdj9+yRI/PeOZ44ATPJsmXRvVSzJh7bqxdqKO7cQR2U\nSgUrfvN6inv3UBiuUiE6Vbu2ZGypVqMTasYMh5yZt23bRp988gmtX7+e1Go1bdiwwebj3R4xunQJ\nxctNm2IWXd26eK3i+1m6NGbYde+OmpMVK1ADdveu/Tv1zZuJEhLcs25XyMwkunkTxqNbtyLqn9vv\nPwAAIABJREFU5eeHQvI+fVCkX6mS1HUp/mi1KDLv0AGPnTABEcs9e9C95mibfW4uat5ee80dr5LD\n8Tm4MOIUHuSIo2HDII7atYMI0mqRDktPh8eNRoPWeSKYAwYFIQ1y5Agu1gEBaK8PC0PxrTHffQfx\n8uKLedMi//6Li35wMPa7dKk0q2v6dFzcp0zBhbFFC8vmg4sWIZ0nvr4SJYg6dUKxt1aLQm4ipN4W\nLbJvYPgfKpXK88Lozh2Im0aNkC4UX5NYPP/mmzDpPHgw35lhOsVnn1n3KRIEdL8dP060fj3a9j/8\nEOngli3RBWkunGrUgKgfPhxdl5s3w7/JWrouKalQFN1yOERcGHEKG7bEUcOG+N3QoaghadsW9vfi\nnLX0dKIBA/BYsVV5zx7UXbRti+jEO+9gGxUq4IK+davp/kWx1aULUUqK6d/S0xEJYAyRo6ws1Jmc\nOyc95sgRRAnCw4l+/dXyazx0yHRoLWOohfrtN0QhmjaVLACqVMHx2LABNVVxcejKM8Kjwig7G5Ez\n8f3x88OFvXZt2CB8+qnj23RHx5LBgEiOJ7AliuSSkQEriS1bIJxGjUL9XN26psJToyGqVg21WKNG\noUty926c277gWcTheAAujDiFD0fEUevWRGvXSnPW0tLQwq1SYRQIEYRIeDgiOY8e4eJz8iQuPP7+\neQXMrl14fNOmpm3+RLjgfvIJ1jBwoOVBs48eIbUnpv8s3ckLAtHGjYgMqFR557I9eoRJ8W+9BXHE\nmOT1xBjESUwM0RtvQBi99RbSh8nJFg9pHmGk1+Oxt25B2B0+DGFmTcyJXL+OVFjPnogMGQu4YcPk\nj3wwGFC4/PTTiJwoya1bMAfVat1vKqiEKLKHwYDXtGsXPIrefx83AjVqmKYrIyMRfXz1VaRmt21D\nas5TgslgQKNDATcX9DnWrcPYpEIEF0acwolccRQRgYvB+vUQR127QhyJnW4LF2J7x46htqhRI7gq\nEyFS8dJL2KYookROnoR5Y7VqllNay5fjwtuunbQ98/UvXIg11axpGlUyJicHfj5FiyK9N2UKokbm\nXLiAOqYiRaTuqogIojJlSMUYbRCP08mTFnej+/JLCKOICNvdWVFR6OzbswcdfOZrEd+TsmVRS/TD\nD7JTfkQEwTdvHmpiGCNq3Bj7UwJBQK3Of8fF7d5EnhBF9sjOhlHpunXoonzlFQxdDg6W3tOwMKTs\nhg7F3L8//0RqT2lWrcL+zFPUHPdx/TqOuVKfoXwCF0acwos1caTRSOJo2DDcKbdsiXRTUJA0CuTt\nt/GY777D9k6fRl1PvXpIPRDhLvf11/G42bNN93/lCoRRVBRcsc05eBDbq1IFaRBLHDgAISI6d1uJ\n6NDDhyjQ1miwvd9/z3un//XXEGLh4SZiRsUYbQgIQGGzlXEWus2biTFGJf39qZRGQ40DAig2OJhi\nAwNpZXg4xERAgOkF1bhwulUrXHTfew9Ri5Mn5de06PUYq9KvnyRue/XCWBelohl37hDFxmK9AwZI\n8/DcxY4d3hdFtjAYYDK6eTPOm/79cVNgHHWMikJk7YMPkHo+c8b5tGZWFlLIsbGKvgyOHaZPx3tq\nnvYv4HBhxCncWBJHWq2pOBo6FJGUFi1wIQgORsF1WhrqMIxFT3w8LvQ1a0rz0gQBxbCMYYCo8cX6\n3j3cgYeHWx73ce0a6kAiInDxNyc3FymqChWkGpG+fZFGs5SGi4+XfJM6d7bcqSYISK1s30703XcQ\nRsWLQ3D4+6MYfe1ak0Ldx6k08TgGBqKuqVIlrL9dO7iKX7yIWqYLFxBZWLwYXVP9+yNtWaKEaaF1\nlSrY37hxeJ2XLuXtMrt5E4+tVQv+TkrOIhMEFIEXKYII3/r1ym3b3n5F1/X8hF5PdP483qtPPsF7\nV6mSaeF3o0ZEgwcjkrl/v7yL7vTpOLet3SD4EufO4ZwsCDRvjpuMQgYXRhyOI+KoeXPUEIWEoD08\nNRUDZsXuMSJcvMuXx0X9+nVpH198gcd17GiahklJQfdYQAAEhzk6Hep9NBqkiazx7bdYt1hwHR6O\n6IZ5e7YgoF6oWjVsc+TIPJ1daWlpdOrUKTp58iSpVCqaOXMmndq5k25OnAghxxhmt73zDtHJk5Iw\nunnT9XlgSUmo2/rxR0SQoqNNO6tES4VRoxDiv3wZAs8dtS7nz0MQ9usHE82CzvbtiNgpfSyTkxHB\n+/Zb1Og1biydpyoV6pn69YP1xa5dppHPhw8RtX3jDWXX5C5iYhBhzu9cu4b3x3x0USGACyMOh0i+\nOCpaFEXTW7eiG619ewibceOkbjIifKlUqYJIzqVL0n5mzZL28fLLUi1GVhYiPWo1OoHMyc2VOt7e\nfde6F82FC1ivVovU16BB1l9zVhbWGxKCobVLljyOxuzZs4dUKhWp1WqTn8GDB+O5Z88iClaqFBFj\npHviCUkYKUlGhuQGfu8eLtxTpqD4XLQzELvunnmG6MsvEXlTskDXAf+nfM39+1L6yxMuzdnZSCEv\nWYJzu00b01Rr9eqwtnjySaSw5cy58zY3bkDo/fCDt1fiOtOmIfKbmurtlXgcLow4HBE54mjIEIij\nJk3QlRMWhlZ9nQ5DXxlD0SwRUmk1ayK19s8/0n4WLcKXp1aLKNTixdi3wSCJn4kTLd+1z52L9XTv\nbj0FkZmJbjPG0JFlq4VeEGAw+eKLeHyrVvi3XHJyiDZsIF1MDIRRUBC6luLinIs6pKZC/Iwbh+Mq\nRhXEyJs5iYmI4H36KWq/xDEfot/TBx8gOlYYvI5cQRBQv1O8uLKpSEfR6yFEly1DTZwYnWQMNw11\n6yINN38+zlNfGx47YQJumAqCmGjWjOi557y9Cq/AhRGHY4xccVSsGNIB//uf1Nav00npsk8+wbYS\nEvBlXrIkik9FVq/Gxbt8eTy+QwdEewQBUQ/GsA5LkSFxn/Xr4w7VGr/+CqFQtap1sXP5slQo26IF\nanzEQm4HWnQfp9LGjZPqnZo0gQi0F715+BBiqmlTqT28RAmi3r1Ru3XqlHyRpdejCP677yD2ypWT\n0jWNG6MVfcuWQldMapf583Gc7PhVeZwPPsC5eeQIzqXXX0eNknieBAUh0vTeezjfb970nt+SXo/P\n87Bh3tm/kly9iuMrmtkWMrgw4nDMkSOOXn0Vd9eNGsEBOyICdQXJySgAZgzjOwQBUY2GDRFpOn5c\n2s+WLQhVN26MAtWAADheEyEUr1bD8NFSEfXZs3hOqVKIzljj0iWpnmPevLwXjeRktGKPHw+fJnOX\n5FKlpA47azx6RLqrVyGMzpxB8em33+KCpVJBnL33numAXWOys3F3OmAA3Kzj45W7uAkCUjCLF0Ps\nieaRfn5Y34QJEKmu1kU5y++/e2/fIvHxEBi+WMOj1+OGwZz0dHRtfvMNUtDGBd5lyqBg+Ouv0bVp\nyZ7CHWzZgv3/9Zdn9udOTp1CrVRBiHw5ARdGHI4lBEFKR5mLo0aNTMVRw4boIIqMRHH2o0f4wmYM\nEQpBQEFx8+YQUEeOSPsRnbNbtkQxsbGbsuid1KGD5XTYvXtIfQUGSjPcLJGVhdEPjOEiYs+d+s4d\nop9+gqBiDB1ltupsBg4kHWOmXWnGP5UrS/5IsbE4Vt66qxcEdMbNmwfzR39/qaC7Vy8UHtuKwinJ\n559j37//7pn9WSIrC+dvrVr53zgxIQGfmTFjUJck1iv5+yMaOnIkokruMuUUTUm5Q3i+hwsjDsca\ngiAJCmviaPBgpH2eeALt50WKICWUlISoiVgsLQgQJG3aQAjt2yftJy4Oz2vYMK8x3r59EFONGlmO\n3GRmopuHMRjw2fpSXr0aAqB6dcu+SZbYsQMdQ35+RB99BIsCc06cIN2KFRBGGzZgzXFx8CK6cgUF\n1OnpSIWIo0rq1kVUzBvzt1JTiT7+GO9luXJIXX72GWqaxBRNnToQtbt2uaeORRRF3vYpGjsW57Uj\ndWX5hdxcRGjnzIHRqnFUqVIlND/Mm4cUt6vF5nfu4NyZO1eZtXO8ChdGHI4tbIkjMa02eDBqiOrX\nJ9q5U6o/evhQqt146y18+aamIgIUHAwhJXLmDNJWtWpJ/kcip0+jgLtqVcvpKEFA8TFjGCNibRAo\nEaIlDRsibbdwoby726wsCIeAAAyp3bw5z0Nkz0oTBMzeevZZRJCKF0c9lr10nRLo9YiElSmDKNun\nn+aNkjx6hOjb4MFSWjE8HF1wP/2kTMu+r4giInRXigalhYE7d/D+jhyJ9K2fH96LyEikkidPRvrN\nUvraFhcv4hzhRf4FAi6MOBx7yIkcDRoEYVOvHqIMYortwQOpC23YMIijjAyYLAYEmA6ZvXgRhcuV\nK+dtTb52DZGekiWt392LY0SefNL2BTwzEzPWGIPbtNw6gkuX0MrNGLpVjAScU0NkL19GF15ICI7F\nkCGm3XtKcvAghCtjKOq+ds3+c8RBsZMmIQoodka1awfPKmMbBrn4kijiIAK6axeEf3Q0ormM4Xxs\n1w7dkdu3F9pam8IKF0YcjhzkRI5EcVS3LmqHxBRbYiKKqlUqRCL0etyRikNmjd2Ub9yAACpdOu/8\ns48+wh1uQIBlF2wiOAkXL45tXLxo+zUtXw5RUru29Vlrlo7DqlV4nWFh6BrT650TRiJJSbhTL10a\nxzE2Fq9DSQ4fhmAUPZGc4d9/EWV75hlp9EXduihcP37cfvSNiyLfJzcXYnjWLIh/0Yldo0GN4Acf\nwFWeR4YKNFwYcThykSuOoqJQo7Jnj5Riu38foyXEVni9HrUrzz8PsbN6tbSfu3fxnGLFTLvYbtzA\nc8X9Dx9uuf7l8mX4JxUtannMiDHx8bi4BwdjnpVcHj1CF5NKRdS0Ken27XNeGIlkZaF7rE4dvL7W\nrSEaPWE26ChpaejmGzAA9WGMIc04ciRSMeZrTkjA47goyl8IAj4jCxagTknsahTtH0aNgsWBu2fn\ncTwKF0YcjiPISasNHIjoR+3amAQeFQXxcfcuBJBGg4Lp3Fz8vPIKBNNPP0n7efgQd6jh4XmjJ6dO\nSf48RYuiuNS8iDkpCaNH/P0lCwBrpKVJguv11x1rbz50iKhePdKp1RBGSpgDGgy4K2/TRiqEXrbM\n98z8RHJyUC/21ltS1Kt0aZwnu3dLXlQJCV5dZr5g7FjT9LKvIdo//PgjPjOiD5lKhZuj996Doai1\nYc6cfAEXRhyOo8iJHA0ciCLfWrXQpSUKpYQEojVrECXq3RsXVb0e9TUqFVI1IikpmMcWFASvJGMM\nBtzBil/KJUrkTZ3l5GC7jKFWwlbkRRCw74AA3Ak7Mn4hO5t0n34KYVShgukcOFc5cACpKzEiM3du\nXhEoCHAh9wXTRoMBax41SrpolioFXyxjkcTJy9mzOJe//97bK5GPIMAMcfFiRA/FGxa1GsXdo0fj\n82Cpm9PX0OvhweYpuwofhgsjDscZrIkjPz8pcjRgAELvNWsi6iMKpTt3kCLy94f3SXY2Lqiib9Kc\nOdJ+MjLQLaPVInVjvgbRabtpU8sRFUGQDCf79rUfDTpxAt1vEREOuSA/rjFq314q6k5MlP18u5w+\nDSdrtRpCY+pU1Px8952Uelu8WLn9KYEgwLPqvfckN/DSpTHq4uBBz/vd+Lq/Tt++OE62uip9HUFA\nUf7ChThfxc5Gf38Uc0+ciO8CX3yNf/2FtR444O2VeB0ujDgcZ7EljsTIkXgXWaMGvnDE/799G23v\nWi0iIllZ2N577+F506ZJ+8nORi2SRmO5DmjhQgiGF16w3ma8Zg1a1Fu1yuuVZE5yMswOGUPBtwxn\n5sfCKDkZAqVIERSBL1+u7AX50iVE2tRqKVoWG4tojC9f+AUBacd334VAFiNgH33k2MgTZ8nIQGp2\nyxb37sdZzp3De2lpgHJ+RhDw2ubMwU1QZCTe+5AQdKZOn4733xfq6L76Cg0Vvpqy9iBcGHE4riA3\nclS+PDrFDhzA/1erRnTrFsLsgYH4kszIwPbGjcvbvaTXw2nb2sVj3TqkwTp1spxSSk9HDVOpUrAD\niI+3/7qmT4cYe/JJu/UxojCKiYmh2NhYWjl/vmQ82bWr9SGwjrBlCwqyGUNherNmeM3h4egMc2C2\nm1cxGFAU//rreB2MIc36+efumyA/dizOS3fZIbjK4MGIrjrqH+RNvvkGXliOoNcTHT1KNGUKhh4H\nBuL9L1kSEaYff/ReKqtDB9xkcLgw4nBcRhCI3n7bVBz5+5uKo/79kSaoVg1plIoVkbK6eROFu0FB\nRJ07S4aDYmv3uHFSNMFgQBqGMcyBMmfPHoiEpk3zRoVWrcLzqlbFl3BYmKnBpDX270f6JyrKZoeb\n1Xb9TZsQJQsJedza7zSrVyOtuGqVdAFNSIBDdXAwPGg+/ljZFJ6jzJhhOizYHjk5EHwvv4xjxBii\nenPnKvc6zpzBuThxojLbU5q7dyHapkzx9krkIwi40Xn1Vde2k5kJU9iPP0ZET4yE1qiBG6716+2P\n8FGC9HS8B7Nnu39f+QAujDgcJZArjkRBdPAgxhJUroxoyu7duDB26CAVak6bZjpvTdzP+PH4/fjx\neVMwJ08iKlSjhqmJYU4Oun1eflmaIcUYxNj27bZrj+7exbo0GggyC2kfmz5GOp1UP9W6tf1olTPc\nu4dC15AQ/IwZ43mB9NlneI0zZjj3/LQ0opUrIf40Gpw7PXpgvpezg1ANBszhq1XLd6MxEyfinMwv\nET8ipL8YQ9G/kiQlEa1dCyuMKlUkD6U2bXCcDh92TwH///6Hfcn1MyvgcGHE4SiFLXEk1hy98grE\nUZUqEEeVK0MgXbuG6ExoKIo0xXTYnDmSZ5FxHYJYUP3uu3nrEy5fhvgqU8Zy9CItDV++tWtLa+3U\nyfZry83FXS1jqJUwa0eWZfC4bx/usrVaFI2np8Onae5cHJepU22vQQ6JiRBFISFSBEmJMR72EEXR\nZ58ps7179zBrr3lzbDciAm7lBw44Vo/03Xd4vvFsPl9CECDi33zT2ytxjPHjUUfn7nqcy5eROn/u\nOZwD4viSPn0wa/DmTWX288EH+L7w5To9D8KFEYejJHIiRy+/LEWLDh+GiKlQAfUlhw4hHda6tRRC\nX7gQtUVDh5reLc6fj9+/+mreu8iEBIixyEjrXSaCgKiUSgXPI1sDXbOzcXFdsgRf0FWrmgyilSWM\nDh/GeA1xNIdKJR2j5s1NC85dJTERhc2iQBo/3n0mfEqLInPOn0dKVexsq1oVx9HeWJPbt5EyHTbM\nPetSipQU+w0BvoQgoNN00CDP7jc3F98PEyYgCiim3WrXhrHo//7n/FDmhg1RC8khIi6MOBzlsSaO\n/P3xBaRSQRxVriyJo+rVUZR9+TIm00dGQiyIowd++klyzTbuEvv5Z4TaX3ghbwtwcjJ8kAIDUetj\njd9/R41Ty5aIVFji77+l1yP6tKhUuFi3aUO6Fi3sC6OPP8bratGCKCYGtUsaDVJgzqaK7HH/PtGH\nH+L1hYcjHaFkzYa7RZExBgNSroMGSfVIHTrA/NKST85zzyGtyl2ZlUX8LHi7wy8pCQNxhw6VPLPE\nRo5ZsyCo5USAxMaO3393/5rzCVwYcTjuwJY4atQIouKll5BSq1QJfjc1aqAz5+JFpJiKFCFq0kSq\nvRBds59/3jSEv24d0lPdu+e9Y8zMROu9RmPbAfvoURRYV6pkuc4gJwcGfBs3YjtTpmAO3H+Forq+\nfe0Lo5wc0y/q7GwICn9/1MAcPmz/uDpLQgLuqgMC4BY+ZYrrpnueFEXmpKZCEHXogDWEhsLM0zjV\ntm6dQ15UHJl8+imipr7kRSTaAsyYgW43rRbnRaVKqFfauDF/mEz6CFwYcTjuQk7k6KWXkBqpWBHi\nqFYt5PrPn0eqqlgxPFYsJP79dzz/2WdNi2m3b0dU5Kmn8rbr6/VIp5j7I5lz4wZRvXr40t+5U95r\nXLSIKCCAdI0aOT8r7exZqSPn/felzjx3cPs2CsH9/dGdN3u2c0XJBgMiMr4w++zaNaTWKlWSOpqm\nTIGRKEd56tTx/bRTWhoiWm+/je8XxiCWunQhmjlTfjSpkMKFEYfjTuREjl58UaozOnIEX7xRUfCc\nOXMG4z7q15fSXFu3IvIheh+J7N+PdFGLFnnTJ8b+SB9+aP1LMTmZKDoaNVFynaSPHyddhQoQRmvX\nOn6MiJAenDoVr6taNfcXC1+7Bu8ctRppiEWLZBlZmuALpnzGGAwQtC+/jJSKRoOutg0bHH9tHMsI\nAiKbjlgy+AIXLyK9Fh2NzxhjiFYPH47vE2drkwooXBhxOO5GTuToxRelOqO4OAydLVUK4fFz5/D/\ndepIRot//okW544dTUPkx44hytSgAdrszZk1C2sYNMj6xTInBx1Qcmas/Yfu2jUIIzG15Kxo+Ocf\n+PioVOi4c2f0iAh3zn374rVWrw6PJF8TPM7w6BE60ho3xmuLikK33uXL3l4Zx9ukpaHm8M03Ealm\nDNHmZ55BQweflcaFEYfjESyJIz+/vOKoRg0YIsbFIUpUsiSKPc+fR4qtZk3MCCNCVCU0lKhtW9OC\n4rNnUdhco4bldt4VK7Dv2Fjrd4pixxpjcLC2Uxz9uCvt44/xWrp3d77oV69HrURgICJpnmg1P3kS\na2YM78fWrQUn1XDyJCID4jiKjh3hl+SugndO/kEQ8H0xdSoc7jUanCP16kFIHzhQKAcfc2HE4XgK\nOeKoXz+pCDsuDgXOxYsjdH/pEkRT9eoYJ0KEsH5EBNJnYgcbESIDFSvi59KlvGvZtg0Rp7ZtTZ9n\njjhjrXVrm4aJJu3627ahcLxyZVyUneXCBRjbeSp6RIQLQbt2eH/atYPXVEEhIwPdjeLrK1qUaNQo\nz48J2bOHaO9ez+6TI49Hj9DkMWAAvnfE8TuvvEL0yy+2vysKEFwYcTieRE5arW9fRIbKlIE4atQI\nX06nTsHrqEIF1AeI88eOH8dFrlEjUzPDW7ewnagoRJ3MOXIEz6tf33ah7pEjqHOqWhVixQJ5fIyu\nXUMaJzDQdjecPfR6FIsGBaH2aP9+57clF0FAxEjsuuvRw/Lxy8/88w8GFouz2p58EpFET7hjt25N\n9PTT7t8PxzX0etx4jRsnfRY0GjR4TJ9u9bugIMCFEYfjaQSB6J13rIsjtRq+RLVqISUWF4e2/aJF\niU6cgCCqXBnRoKtXsU3jIm3j2qJ79/ClVrQoWvLNiY9HFKpSJRRoWuPqVaynaFGLqS2LBo8ZGShw\nZgz1DK5cdC9cwAVVpULbvSeiRwYDHIYjI7HfgQN9t/5ixQpEgxwlKwtptaeewvtUvDhckG2dC65w\n/jz288sv7tk+Rz737xNt3iy/8PrmTdQgde8uDb+tWRPny969BarAnwsjDscb2BJHjRpJ4qhOHUkc\nNWuGFNWxY/iSqlYNxdpiqiw+Ho+tVUuqQyJCrU+LFnBBtlSvc/MmnlOyJKJP1khKgm+OVku0fLnJ\nn6w6XwsCnLu1WqxBTAE6g3HtUfXqcAF2J+Ig3wkTMLakZEl09Lz/vm/N9UpNxdpcbSE/fx6vrWhR\naY7emjXKjr0QTT55fZP3+eUXvM/OzBRMT0e349ChaAwRU7OvvILZfp4YfOtGuDDicLyFnMjR889L\n7ftxcRAXkZFEf/0FT54aNZByE8Paly5BLFWtahrdSEmBqAkKgueROYmJEF5hYUS7dllfc3Y2Iidi\n99l/Bcp2R4L89RfWVaKE7e3L4fx5HAe12n2u2aIoMvYpSkmBc3ZICOq6pkzxjTbnzz6D8FQqmiXW\nIrVujWNQujRMDV0RtUQQtmXL5r+5aAWV0aORlncVgwHfTePGoRtW/C6LjkZnpFLz3DwIF0YcjjeR\nI4769JHa948cweiOiAj8f0ICZiVFRUlT669dk1JtV65I+8rIQBhcq4UrsjmpqZJrri0/IkGQXJ8H\nDiTKzpY3Ky0xEcNq1Wp0vLnS9ZWbSzR5MtZap47lNKGzWBJFxty9izoxPz+kIZcs8V7nTmIixOyo\nUe7Z/unTEDKhoagv6dWL6I8/nLM0ECe4//WX8ut0NxMnEr3+urdXoSydOmEgtNJcv44ByJ064TPC\nGOoNJ01Sfl9uggsjDsfbWBNHWq1p5Ehs34+Lw918eDjSSffuob1WbO0nwt199eq4QzcukszORopO\no8GcNXOys1H8rVYjBWaL5cuxxo4dSXfjBjHGKCYmhmJjY2nlypWWn5Obi+GujOE1mbt0O8rff+NL\nV6Mh+uQT18c02BNFxly6hNfAGN4bb7T4jxoFYeRMOsQRUlKI5s3DeSa6a8+c6ViXUt++EPj50Qbh\niSdwE1BQEASk5d09zubRI9Sw9e2L76t8AhdGHI4vYE8caTSIHDVogHRUXBxa7cPC0FKemCi19otT\n7+/cQTSlVCl4lYiIQyNVKhRTmqPXw/eGMaIvv7R9Iduzh6hIEdLVrOnYSJC1axGFqF0bqTFXyMnB\nHb2fH+qznHUlnjxZvigy5sgRqQW+UycUyHuC69dxfnhyVpsgoE6tXz8c7+BgjJsRzzlrJCWhPsvW\nSBpf5d49vLfOFLf7Kleven4Qri/NlrMDF0Ycjq8gRxz17g0BJIqj9u0hMPbvR0Fw48ZS9xoROk9E\nwWTsKWQwEI0Ygf18/bXltUyahL+/+67t1Mn586SrVAnCyJH6ofh4FH2HhSkz2fv4cUQktFqIHEfT\nW5s3E331lXP7FgQUo9aqBcHZv7/7O9gGDoToTU11736skZAAUVamDM6Ttm1R0GupWDsxEZFC0bk9\nPyEWKRs3NOR31qzBa8qP74cH4MKIw/ElLIkjPz/L4qh4cUQrOnRAQfDevbgzb9YMBdpi3c3Dh0RN\nmyJ0blzfYTw/7dNPLUeG5s3Dhf7ll212J+muXIEwCgwkWr9e/utNScEwVsaIxo51vVYnKwsXYLUa\no0Xc1XZujdxcROHEDrYxYzB/TmlSU5EmnTtX+W07Sk4O0W+/wQuJMQilzz4rOBfdYcPeQNL4AAAg\nAElEQVQQ2SxIjB2L94ljES6MOBxfQ444eu45/H+xYjBh69QJaY3du3EhNi7QJsLvWrVCnt/czXnK\nFOxn1CjL4mj1aqwhJsZ0LpsRj4uve/SAkJo1y7HXO2UKxMzTTyvTCn/wIDrzgoMhHjw9/ywlhWj8\neHQBliiB7hwl296J8F74WnrizBnM2QsOxjnz8suIbOZnqlRBsX1B4q23UEjPsQgXRhyOLyJHHPXq\nJbliHzmCjrKgIExY1+kwTiMsDGMuiHCxfvJJRJd27zbd39y52M/QoZajNjt24HmtWlkULo+F0aNH\nRB9+iG2NGOFYBOiPP5AGdHWUiEhaGi4AoiePN9qGb93CwF6VCmm2jRvzZ/GxoyQlwXOqShUc/xYt\nUKzva0LOHmItjhKpXl+jMJyHTsKFEYfjq1gTRwEBEEd+fogciXVFhw8j4hIYCCGTmioJIXE2VXo6\nBFRgYF4/o6VLEbV58UXL0Y2//oIIq1sXHkpG5GnXnzcP23r2WatRJosYjxKx1DXnDNu3I+0UEYFt\neuOCcOIEhreKBdr2ipULCno9xGDnznjtUVEolM8vabYffsB5XEhmhHEAF0Ycji8jRxz16oWRIUWK\noH2/WzdJ+KSl4YIcHIxIEhEMEUU/o02bTPf322/YR48elo0T//kHRo0VK5rYAFj0MdqyBaKsaVPH\nLoQZGZKJ5IgRyqSgkpLgyssYvFvc3d5uCUHA8a5ZExGkIUNsz6graJw7R/TGGzgXtVo4ddtyWvcF\nbt3CZ4JTqODCiMPxdQRB6iCzJo569pQKrA8dInrmGfx961YIjehoiKU//sA2s7MhqPz985o5bt2K\nx3bqZDnac/MmilFLlMB4ErLhfH3iBIo8K1bEhdGR1zx3Ll5b+/am899cQfRoKlkSXWjeICcHr61Y\nMQjHzz7zzOw3XyEpCW37FSvifG7XDl1SBWjWFid/w4URh5MfsCWOnnhCEkfNm6Mj7dAhpLG0WgiA\nzExEkkSxRIQLdL9+qFdatcp0f3v2wAagdWvLaYQHD6T5a7t22Xa+vnkTBogREVLUSi779yP9Uras\nVEjuLKJ54+jROBaMoePIW+3ujx5hNpm/P6JwK1YUrrqP3FyIctEDqmJF1CW5o4uPw3EALow4nPyC\nHHH07LMQLBER6MwSo0IbN6KVvUcPiKWNG7FNvR5pK7UaNUbGHDmCCFSjRpZTT6mpiERptaT7+Wfb\nBo86HR7r70+0bJljr/vff1H0rdWi5sMZzB2tBYHo++8RsalSJW+nnie5dAnvE2PoJjx82HtrUZKM\nDJiSnj5t/7EnTiC15u8PQf7OO9JwZA7Hw3BhxOHkJ+yJI7E+SGzXP3gQvkf+/vAXys5Gwba/v9Rp\nYzAgcsIYxIIxp08j7VSnjmWDu+xson79SKdS2Xe+zslB1xtjMI90JDqSnY36FMYwsyorS/5zbY35\nuHwZokutxuR3b3ZN7d4NEcoY0UsvmXbRZWbKFxm+wsaNeC2OOJvfuYPRLsWLow6rRw9ELwtTJI0I\nNx3HjsGoVJyByPEYXBhxOPkNueJI9C06cAAzvfz8kLrIyZH+LRaWGhd5z55tur/z5zEstUoVdI2Z\nYzCQbtgwCCNrRpHGa//yS5MBtA6xaBEiR61ayXMiljP7LDcXa/LzQ82W8fgUT6PXE/34Ixytg4KI\nJkxA/dGyZXgdnjasdIVXX4VFgTNkZOC9rlsXr7tJE6QalfaC8lV27CD69VdESDt1wgBeJfDWsON8\nBhdGHE5+xJI40mhMxVFsLGqEwsKk+VYaDcRQbi7a8o3riwSB6IMPLI8JuXYNhonlylmMAOiSkyGM\nRKNIe4aKK1Y8HkDrcCt0XBxqjqKiJI8mSyxe7Njss+PHUVQeEACDSk+bQhqTkgLXbK1WEqVdunhv\nPY6i1yPqM2aMa9sRBIiC6Gi8l2XLEk2digLuwkJcHD7rN2+iRu+/hgenmDYNXZEcm3BhxOHkV+SI\no2eekYbN7t2LFI1Gg/lPej1meqnVkmeQIMCxmbG8w0n//RcptZIl86R0HhdfT5smzQqzd3e/dy9q\nmOrWxUBUR7h7F0W7/v7wTLIUpUpOhjhyhIwMzIYTTSFv3XLs+Upz5QpGvjCG6IvxSBdf5sQJrFn0\nz1KCv/9GFEqrRW3YiBEwYCyoGAw4r/V6OKe/9BIm1bsSNRw+HI0QHJtwYcTh5GfsiSOtFuKoXTsU\nte7dCz8ftRpfsno90eDBEDNLlkjbFVNQ48aZio7ERBgwRkaadImZdKWtWoV1dO9uvw39n3/gdB0V\n5fidcE6OlP4bMsSy75Kz/PEHbAYiIyEivYk4LLZBA7zWQYN83/9o1iycg0q+JyJ372K2X7FiOI/7\n9FG+YP3AAXQvejt1p3RtVffuiCRzbMKFEYeT35Ejjrp3hx9QaCiKWcVOtOXLcWf62msQR8ZdX9Om\nYXvvvWf6BZ2cjHEjoaGPR4vkadffvh1Gfm3b2k+V3bsHm4GQEOe8hZYuxWtt3lzZCM/Dh/A9Ygxi\n0htt5ImJeG1TpkDELlgAQRAait85UoTuSXr1wvnmTtLTMbC3enW8R61bE61bp0wdzfjxEKPeQPys\nZWSgzig+XjmPp7p1cTPBsQkXRhxOQcCWOGrQQBJHxrPSBg+GOPrpJ4gjca7Y/PnSdufMwe/eesu0\n5iYtDammwECirVsfC6OYmBiKjY2llStXIqJUtChC9/YiHOnpsBpQq5Eac5SjR+EFVLIk6qmUQhCQ\nZgwPJ6pQAaLSk3zzDd47Y7uEpCSikSNRLF61KtGGDb7VtSUIEG/jx3tmfwYDOi7btsW5Wr06zuGM\nDOe32b07Udeuyq1RLsYC6I038DlevlyZbQsCPvszZiizvQIMF0YcTkFBEKT6GGNxFBgoiaNu3Yie\nekoSR0OHSmk04+fPmSNtd+FCPMZ8wGxmJrrf/P1Jt2yZ5Xb9c+dQPFy5MlrjbaHXS+Luww8dL36+\ndw/Cz88PztJKioXr1xEBUamQYvFUpKZFC+tT0OPjpaLk6GjfaevOzoa49cY8uCNHkFpTq1H8PXGi\nc+NfypSBfYOnyMgwFUU//4zz+L33iO7fx+9cPZ8fPMC5smaNa9spBHBhxOEUJOyJo4AAopgYFPQG\nBxPt2gVfIJUKbeLGnWnffCNtd9kyXGz69zf9As/JIXrxRds+RjduoBOmVCmikyftv4ZZs7Ce55+X\nV6NivM2cHOn1Dx6sbI2LXo+OKH9/tPU7MuLEWe7ds210KAiIllSpggvpyJF84CkRRPjw4bA8CApC\nxNOeMBe5exfnjydnpJ05A+f6CRNQ+1e1Ktr0RVGkBMeO4XW50tVWSODCiMMpaMgVR+Jw2T//JHrz\nTTx24UI8f8wY/HvqVGm7v/yC7fTta1qUqteTbsAACKPp0y2v6f59eNGEh8vrVFq3Dutt3dr2Hf9n\nn2GdJ06Y/v6nn9xTd0SEfdWujfXNmeMbaazMTKKvvkIksGRJiFxv2g34ComJMBMtUQLC/oUXkHa1\nxbZtOKfkCimlSEhAhEijwc9PPym7/TVr8LoePFB2uwUQLow4nIKIHHHUtSvuSoOCII7efluqMRIE\nOBAzRvTFF9J2163Dtnr2NEknmfgYGYspY1JSIMYCA6WRJLY4cgQXtOrVLV+kRFFkbisgcvQo0nil\nSmHmmpKkp0vHq2tXXNR8gdu30dbNGFGzZq7PlysoZGTgvK5aFcemQwcIIEui9quvIOA9JSzF/ej1\nqMsKCkK0q00buNYrFTW6eRMpOl8Q8j4OF0YcTkHFmjgKCoI4CgwkevppGAcGBqJFXXz83LnYxqRJ\n+PfEidJ2N2+GsOrW7XGq6nFX2ujRePz48Za/gLOyMJJEo5E3M+3yZQij4sVNW7JFUWTPvPHePdQG\n+flJgk9Jtm6F8CpeHCktX2H/fqT7xPZ+XxFu3kavR4qsWTMcmwYNIBaMI6DPP+/+jjpLTJ6MFLLx\njciRIzw16gW4MOJwCjJyxFF0NH4CA9FmP2oUHvvtt9jGV1/lFTvbt2MbnTsTpaebtutPnYrHjxxp\nWYjo9dJsNjkdMg8e4O45MBARKzljPozJyZGiO0OHKl84ff8+itAZg+1BWpqy23cWvR5isGhRREC+\n+cb7vjy+giCgwzAmBu9bxYoYhZOWhvEw5mNx3LkOIpzXxYvDb4yIj+7wMlwYcTgFHTniqEsXpIQC\nAzGCQSzAnjkT2xA9jT76SPoy370bNS3t25Pu9m3T4uvvvpOEiKUveUEgGjsWj/n4Y/uRnMxM3Mmr\nVI6JImMWL0akq2VLeXPWHEEQ4DEUFERUo4ZvFbg+fIjiY7UazuU7d3p7Rb7F6dNEL7+Mz0SxYiiA\ndqaTzVlu3oQVRNOmkrO5HN8iLp7cBhdGHE5hwJY4ql9fihzFxEA8bNsGEcQYkVhQPXNmXsPHgweJ\nwsNJ16xZ3q60pUtxMX7xReuRihkzsM1hw+x/0R89Kq1/5EjnLgzinLXSpZV3SyaCk3fjxkjdTZ7s\nWxevEycQeWMMIvPGDW+vyLe4dg3mh0FBaEoYMcJ9x0j8/Fy9ivciMhJpWXvcupW3Xk4cHcJRDC6M\nOJzCgj1xFBSEyFG3bhBHW7ZIUR2xoHruXPx7xAjpy/ivv0gXEQFhdO2a6T5/+w376dHDeuv8smVY\nR+/e9tNcx48jGqVWw9/H3sgRSyQkoNtNq8UEd6XJzkZXn0oFXyVHL66uGBPaQzSsjIrCxf/LL5VN\nLU6b5hkbA3eSmIioUdGiELgDB7rvNc2ejfNEjMwSoS7O2nty8yaMHzt1QprU+DMlCLwTUSG4MOJw\nChNyxFHnznD+1WpRaC12p331FbaxYAH+/eabj7+Idfv3QxjVq5e3i2brVkSkOne2Xn+zcSMe06kT\nutfssXEjLuwtWzrXtZOdDf8m0dU7O9vxbdhj9264cUdGEq1eLf95nTohguZOdDqpNbx6dUQIXSUx\nEcfTkdfqy6Smoi6rbFm8rp49le/ymz0bHlQiubmo5Tt71vbzzp5F1LRDB8yNM7ekcEUgiTc8vhTt\n9DBcGHE4hQ054qhTJwyfFcXRxImmtT2LFuFOd9gwIoNBKr4uUQJ1LOZdULt3Y75XmzbWZ47t3Ysi\n4aZN5dV4/PUXPHuqVnV+4viCBXj97drB2E9pkpLgnSN2h9kTfSkpWI9Y+O5uzp7FxVW88JtH/Bxh\nzx5sx1ccuJUiOxv1aTVrSq3+f/yhTPpq50440X//PVLPb7+NIcxySUzEzLxOnRBJMvdokitubL2W\nQiiQuDDicAojcsVRbCz+tnGj1CI/aRK2sXQpxNHgwaRLSoIwOnYM4xRq1Mh7F3vkCKInjRtbFz4n\nT0Ls1KwpLwV19SoeW6wY0aFDzh2LAwfQcl+unHuKpgUBxyo0FCLOVtRh/XocY1tu1+5Y3y+/IDIS\nGIj32RnH8DlzIKQLauebXk+0di2EO2MwLF271vX0lU4HgX7woPXPRWYmBNCyZZZFjCDgb888AyFu\n7hN28CDeY3ts3Ej0/vuIGM+fX3DfSztwYcThFFZsiaN69ZCq6tgRw139/TGs9Msv8dgJE/D8FSuI\n1GrS9e0rFV9fvowum8qV80YgTp2CaWOdOtYHy166RFSpEoSKnOjDw4cYIBoYiAuVM9y+DW+bwEDl\nhnaac+kSnLg1GkTeLN2Jv/8+0m/eIDUVc+DE4bRyioGNef11dDkWdAQBESMx0larFoSvMyLCEVH1\n99+I0HbuDJFkTUT98Qe67Lp2RSQqKwtpt5o1re8/IQHfBeHheN6ePYheNW3q+HlQAODCiMMpzAgC\nvjStRY6Cg3EB6NkTf1u/Ht1Wxr5Gq1eTTq2GMHr4ENu9fh21ExUq5I1+nD+P6ETVqnicOUuXEl24\nAHFWrJjUwmyLzEyMKjEvZHWEzEwU2jIGgSKnZdpRcnJw3NRqpO/Mo2Jt2uCO35vExyNa6Gh6rU0b\nuG7nZ+7ccaze7PBhycOqQgVEzRwtnnc0JXfrFuqKOnTAZ9daYbhYh9S2LW5uWrSwvs0hQ/DZ+fxz\n3GiI/PADhvIWssJuLow4nMKONXEUHCxFjp56Co7Vfn4wo/v6axMPIt1PP0EY9ewp3Tnfvo2UWpky\naGM35upVCKfy5SGCRMR03dKlqM9p1QpeSTt22H8dBgMiHozh7teZ2ghBwBBbjQYdesYXCSXZt08q\nzP71V/wuOxsRK2eFnZL8J3gfp9c+/9x2ek0QiCIipAL9/Er58ujEdJS//4YoVKuRCp4yBSkyJTFv\ny8/MRLqra1eiV17BWB9LJCVB3HTubPp78fOxdi1EUfPmpvsigpFrWJjyI3V8HC6MOByOfXEUEgJx\n1Ls3xNHatZIH0ejR0qw0Pz+00Yt33QkJRHXr4mLx99+m+7x9G2mIUqUwXdzS7LO0NHzxa7Xyp52L\n7fzPPed86/vOnYhWVamSd91KkZQEDxvGiF59FcXnjLnHX8lZjNNr1arB/NMS4kT6des8uz4lyc3F\nefP9985v4/JluJ9rtRC9n3yi/NBWS9GbDRsgfmJjLQ+f7doVn0tLNGgAYSSOtMnNlbZ/9Cj+VsjS\naVwYcTgcIEccPfkkvoA1GgiV/0wfdW+/TYwximnShGJVKlrZuLHkxZKYiLldxYrBZNCY+/fxt6Ag\n6wNhs7NhEqlSyb9oie38rVo572J89SouGiEh7rvgCwI6nkJCUHvl56f8yBIliI+Xamp694afjjFX\nrqAe5eRJ76xPCa5fx+uzJv4c4fZtjNYJDsZ7+/77yrutE+WNisbFQZh17gzvsaQk/L5NG6IBA6TH\niZGn337D58p8NpwojCZNwt/lFG4XILgw4nA4EnLEUfv2iHRoNEgDffst6RhDxCg5GZ44ZkNm6eFD\nFDdHRuatGRJNJAMCkGKyhMGAieOin5Kcugyxnb9aNee7vNLSpKjOhAnuq7O4eFFyzP76a9+s5xCL\n7aOicB5Mneoe/ydvsW+f8nYD9+8TjRuHNGNAALy/LNXVuYr5+XLjBpzrxZlvDRrg82P++C5dIHx+\n/hn/NhZamZm4sVCpcJNQiODCiMPhmGJPHIWGQhy98AJ+v3o16aZPhzB6/XU8f8cOacyImM5KTobj\ndFgYWuSJpPTZ+PHogAsKQl2DtXVNmCCNJZEjHq5cQZ1T8eLOm/MJArrxVCoUI8sxoHSG7GypRqpz\nZ+tde94mORk1XOLstd27vb0iZfjtNxx7McqiJMnJEPTFi0P8Dh7svPeWLayNB6lUCW7s4mOIINBU\nKqJGjSQHeeM03caNeI/FaJKPjB359ddfqWbNmuTn50cqlYpUKhUVKVKEpouji4hozZo1FBIS8vjv\nRYsWpdjYWNn74MKIw+HkxZY4qltXEkf9+hFpNKT78UcII8ZwZyoIRLt24fGdOklfvKmpqFUKCYFx\nZJUqkmlkZqbkuP3779bXNmcO1jRwoLzOsQcPkEoICrK9XXts2gRRV7eue32GduzALLfixfP60fgS\np04hosAYUf/+7jHI9CRLluC1uNO7Jy0NbtqlS0tzBN1RwyYIpkKmTh2MaxH/RoSIn0qFQnGivDca\nr76Kv//wg/LrU4A///yTVCoVBQcHU4aFWsIFCxZQhQoVaMOGDSQ4KOq4MOJwOJaRI47atSN68UXS\nqVQQRrNnm44L2btXqk1KTcV209MRwg8MzFu7k50tpels+QmtWIE77x495BVYZ2ZiuyqVa67S8fEY\noREZCb8Yd3H/PgppGYOfjDvnp7mCwUD044+oH4uIQOF7fnVKnjsX6S5PkJlJNG8eWvxFW4Tjxz2z\nbyK8b6NG4TMkpskMBum9278fwrxCBdOuUR+jfv36pFar6Vexs/M/rl+/TtHR0XTv3j2ntsuFEYfD\nsY69tFpYGFHbtqR7/nkIo4ULcaFUqVAEajDAdfe/xz1OQxlHhzZtMt2nXo9Ug0pFtHCh9bVt2YIo\nUPv21seMGGMwoAhW9Clyto7n0SN0+ajVuPt3V4pBEKSLdb169udneZMHD4iGDsWxbdo072iK/MCU\nKRB4niQ7G5+XatVw7Lp1c39Xoni+9u+PrlCivJ+FQYPw+fv0U58Wut9//z2pVCpq167d498lJCRQ\ndHQ03XEhFc2FEYfDsY29yFFYGOlatIAwEgs5lyzBF+vQofjSPXIErrqtWkkiJjsbLcT+/nkdqw0G\nREoYs+3rc+AAojcNG8pP5Xz7Ldb2wgvOjb4gwsVCrAcaMMD57cjhzBkc58BA+Nb4SK2HRQ4dInri\nCRzft96CiMwv3Lkjz0zUHeTmIkJau7ZUY7Z3r3v32bs3GiJ0OnzeRHEUF4f3r3hxdNf5MOnp6VSk\nSBFSq9V0+vRpevDgAUVHR9M1V2b+ERdGHA5HDoKA0Lu5OAoJIapbl3RhYRBGovv0smX4+W+WGun1\niCJERsJITrxg5uQ8rlPKMzxTEFAwKg6vtSYITp9Gp1S1avJdmtetg9Bo29Y1E8cVK7CdZs3cexHJ\nyEB6Uky7uMt4UglycyFmQ0PhUbV8uW+LOV9Cr0enZ4MGeK+ffBLGjUoeP3Fba9ciYmRcU3XnDlHL\nlvjczp9v+ngfZdSoUaRWq6lv374UExND8Qp0FXJhxOFw5GFDHOlq1YIwat4cRdEqFdyrly9HymnA\nAHzpnzhBVLQoWtPFi7tej7+r1RBT5ojz2UaPtv4lfeUKRoyUKSM/5XToEFIntWq5NlX+2DHMdYuK\ncn6QrVx+/52oSBHsb88e9+7LVW7flqwOOnbM637OsY7BAMPFJk1w/Fq3hr+SkiLl0SO4dcfEoBFi\n3z5E+4KCiL74It9YMVy+fJnUajWp1WratWuXItvkwojD4chHENAqbyaOdMHBEEZhYUiXieJo8WLM\nMFOrMbZAr0c3U/HiSH+J5osGA9Ju1uqKZs3C/t56y3ptUEIC7rSLFJFfp3HxIgRVqVIQOM5y9y46\n37Ra1Iw4yuTJOFZyuHkTdVUqFWwO3DHTzREyM/F+rllj+e/btuEY+/vD08dXC8l9EUFALV2LFjj/\nmzeHiFFSIG3bBluNNm3QJWfcEOHj0SIiIoPBQNWrVye1Wk0zFRqnw4URh8NxDAvi6PEQ2Zo1UUvU\nsqVUQM2YlC578UVcyP/+G+aL9esTiZ0jxnVFc+bk3e+iRdierTb9R4/wBR8cbN0PyZx793DBCQnB\nRchZsrMx/ZwxohEjHBMsjRtjOr1c9HqkFzUaRBPcYRool+RkvObVq60/JiMD4zG0Wlg0bNvmufUV\nBAQBXZBt2uBYN2mCMSCuCBfzGwzz0SX5QBQREQ0dOpRGjhxJKpWKqlevrsg2FRdGK1euVHqThR5+\nTJWHH1MXMRNHOj8/CKOQEHimhIcj3SOKpx9+gIGenx8iSLm5aH2PisLjExKk7YqdY0aGbY9ZuRJi\noE8f66H+9HR09/j7275Ymz+nRw9s21YnnD3ETjKNBv5NcudkVaxocXip3fP0wAG0VEdGWo/YuJv7\n9/F+ibO2bHH+PNJqjKH43R1jMuyQrz/7goA5fk8+iWP4xBOoFXLFKd2468xJMeStYzpixAj65b9x\nJdWqVSO1Wk1bFZjrprgwcsRdkiMPfkyVhx9TBTASR49HgqhUKLotWRJf3OXKSW3c33+PML2fH2pP\ncnJwoSxThqhmTekiKQhIuTCGWgdz1q9H5KFbN+tpmZwcopdfRoRpwQJ5r0evl8aOjBvn2h3z7t3S\nEFo5NU+hoWj9N0PWeSpOT2cMFgmimaanuHUL+5YbBRIE1J6VLAkBPWeOR1vCC8xnf88eSWTWr48b\nD0sCadMmCCk3HmNvHNOxY8fS90azE2fOnEkqlYpiYmJc3jYXRvkAfkyVhx9ThfhPHD0WRn5+UpSo\nRAmY/jVvLqWYFiyAsPH3R7twTg5cpMuXh3HirVvStsVxIZ98klek/PEHikQ7dJCMI80xGIjeeQfb\n+PJLeUJHEOAILLo5u1KAevUqLlihobajKdnZ2N/SpXn+JPs8FQREuoKCEIE7c8bJRTvBlStY/86d\njj0vKQnpQzE15EqNlwMUuM/+/v1o72cMfle//moqkObMwY2EG/H0MZ08eTJNnTrV5HfJyckUGhpK\nGo2GLrnoTK9mPsiqVav4NhTGV16Lr2zj33//9Yl15PttqFSMTZ/O2PDh+LdeL/0tM5OxsmUZu3CB\nsdOnGXvtNcbeeIOxhATG1q5lbONGxl54gbEKFRjbu5exnBy2qkkTxm7exPM/+YSxqVMZ+/xzxsaM\ngdwS6dKFse3bGTt2jLHoaMaSk/O+FrWasdmzGZs0ibFx4xh7/33GBMH+6xk9mq16+23GVq9mrFs3\nxnQ6pw7NqiNHGDt0COvr2ZOxL74wfQ0iOTn4b0BAnj/JPk9VKsaGDcPx0GgYa96csfnzGSNy//mR\nnY3/Wli/zW0UKcLYggU4Rrm5WPO77zKWkuLcOmRi9Zh+9x1jhw/L2oZPfW7btmVsxw7GDh5krEwZ\nfKYaNMD5azDgc2DpvFNwHUp8n8plzpw5LDU1lY0ePdrk9xEREeyVV15hRMS+++4713bikqyygBLK\nkW+Db8Pd2yhVqpRPrKOgbEOXnCzNShO71dRqREtq10YNTLNmRG+8gb9/9x26a7Ra1PZkZRFdv06x\nwcEYeGncPi+OGRkxIm/U5+hRtP83bIhaF2uvxcH5arGxsUhVREYi6mMcyZLJ43UYDESTJmH/zz+P\neVnGpKbib+Y+TuTkeZqZKaUEe/Wi2K5dHd+GGTbPj1OnsC875og2t5Gbi5qy4GCismVRN2MhwufW\nz35UFN4nGfjCZ87qNg4dInr6abwndeogvcqY1Yipr3yf2uPOnTv02muvUenSpa0+ZseOHaRSqSgy\nMpIeuuD15SdTPLHU1FRZQkuv17MUG4qfb4Nvwxe2QUQ+sY6Cso2U/74fUoYOZWzRIkQA/PwYS09H\nBKhsWcYuXkREacgQRJi+/pqxlSsZe+klxnr0YGz5cqZv3pyl3LzJWLt2jG3axDfAgIEAACAASURB\nVFiVKowNGoRIz6hRjKWmMvbNN7gLZoyxGjUY27IFz2/blrGNGy2/lgEDGAsMRMTq/n3Gli7Fv20d\nj0aNGPvf/xjr3ZuxFi0YW7OGsbp1ZR8Tk3WMHMlY1aqImrVqhdddoQL+lpaG/2Zk5ImWOH2efvUV\n9vP220yflcVStm/Hv53E5vnx8CH+m5trM9pj9xwbNoyxp59m7MMPccyffhrRSPE4ydmGDKweUz8/\nnF8ytu8Lnzmr26hbl7Fff2Xs6FHGpkxhbOFC/H7RIsaef1767Ci4DkfO07CwMKZSqWRv+48//mDv\nvPMOu3r1KhP+i/g2a9aMHT161ORxffr0YVu2bGEqlYqlpKSwChUqsGrVqrE1a9awatWqyX8xjDEV\nkY0Y23+kpKSwiIgIhzbM4XA4HA6HY4xOp2Ph4eHeXoZNZAkjRyJGHA6n8JGSksLKly/Pbt26xcLD\nwlDTI+b5NRpEfIKDETm6f5+xSpVQU7JwIe5qa9VirG9fRH1WrEBdT2ws/rt5MyJDjOFO+PXXEVFY\nsAB3+SI3byJylJ2N+qXq1S0v9vBh1GFUroxapxIl7L/A1FREnfbtY2zePKzVWR4+ZKx/f8bi4hib\nMQMRMXei1yM69/XXjLVpw9gPP6AWxddJTWXsyy/xPtepw9i33zLWtKn79teyJWPt2+M4FSQ2bWLs\nlVdwrs+fz9iff+Lz9tFHqH1Te7bU2NGIkVdwOgnH4XA4/6HT6VBjpNPhF+YmkH5+pjVHRYrA1FDs\nGvvmG3Q1BQURdemCNvy7d9FlU6oU0blz0s5EP6Q+fUznPBFh1lOdOmgFP33a+oJPn8Z2a9SQb46Y\nkwPTSsaIvvrKtXb+nBy4eDMGU0vz1+EO9uxB/U7x4qjvyi8cP46uNZUKtVPiEGKladoU3ZMFjc2b\ncZ6JXmGHD0s1SPXqWW/zL8RwYcThcFwmjzAisi6OwsIwn0wUR+++i7/PmAH/n+BgmCOmp6OgukED\ntP4bt6Bv2GBauG1MYiJRo0bYvq2C4MuXiSpXhteS3MGTgkA0YQLW+8Ybro/jWLAAx6VDB/lmkK6Q\nmEj0zDNY/3vv5Zt5WKTXYyxMaChR6dK4mCvtzNymDWb2FTTOncMNSFKS6e8PHcIoEMbwGXPVKLIA\nwYURh8NxGYvCiMjUydq4W00UR0WLQsSMHIm/T5uGyEZICMRCWhoEQ6NGMEw8eVLa9rZtmGzftWte\no8dHjzAqIyyMaO9e6wv/91/cNRcrRhQXJ/8FL1oEd+vY2LxdZo6ydy+iOJUrY1SKuxEEiAx/f0Ri\nXPR88Sg3bxI9+yzOle7dlR2F0rEjXNkLGwcO4EaEMXR3rl+fb8aBuAsujDgcjstYFUZE9sVRsWL4\nQhajS19/jUnfoaFw7E1Nxd1u06aIAh0/Lm37zz8RYerY0XIbfMeOSM/973/WF5+UhMG3ISHYnly2\nbsVzmjeX5r05y7VruGsPDUU0zBMcO4bhrqGhRCtWeGafSvH770gLBgejzV+JQboDByIKWFjZtw83\nI6Lh5qZNhVYgcWHE4XBcxqYwIpInjp54QnrMlCm4kw0LI2rXjiglBVGgFi3gLWScIhNFVNu2eJwx\nmZmILGi1uJhaIy0NkSetFikFuRw7hlqlqlVdj7ykphL16oVaGrlO3a6i0xG99BKO+eDBrke/PElK\nCrytVCpEFD3knF3g2bULnznG4D22dWuhE0iKCqOJEydSrVq1KCQkhIoUKUKdO3emOEfC0xwTcnNz\nafTo0VS/fn0KCQmhMmXK0IABA+jOnTveXlq+Zt26dRQdHU3FihUjlUpFp20V6XJkYVcYEckXRx98\nIBU4HzqEv7dpgwuhTocUWXg4ikhFDh/G+JGWLSGgjMnOhrGiRmM7MpKdTdSvH9a0aJH8F3/1Kma9\nFS9uuiZnMBho36BBFMsYlQkKIpVKRRvcHUESBKLFixF9qVXLdtG6LxIXh/NGrUZK1sKImK+++oqa\nNWtGYWFhVLJkSerZsydduHDBC4vNJwgCoqetW+Oz2KoV0Y4dJgJp/vz51KBBAwoPD6fw8HBq1aoV\nbZM7L8/HUVQYrVq1inbu3EnXrl2j+Ph4Gjp0KEVERNADTxQVFkB0Oh1FR0fTmjVr6OLFixQXF0ct\nWrSgZs2aeXtp+Zqff/6ZPv/8c/rxxx9JrVZzYaQAsoQRkW1xJIqLJ54g+vBDacbZkSMQQq1aQRil\npOCONiwMUSWRY8ekgm7z75zcXKRKVCrMFLOGXk/05ptSSk8uDx5AvAUFyZsyb4n/OtO2bdtGn/Tu\nTeu1WlIzRhscEWmuEB8Pl++AAKL58x2LEhw+THTxovvWZo+cHLxfQUGYu7dxo8mfY2Ji6KeffqL4\n+Hg6c+YMde/enSpWrEgZ1oYQc4AgIA3dvDk+E+3bowaQiDZv3kzbtm2jy5cv06VLl2jcuHGk1Wop\nXm4jgw/j1lRaSkoKqVQq2rVrlzt3U6g4evQoqdVquuXEiAKOKdevX+cRI4WQLYyILIsjlcpUHDVo\nQDR6NP7++edInYkRoeRkpHw6dECNz39f1ESE8RTi883rfgwGaVTGzJm21zd+PB730UfyBUJGBgbj\nqtUYeeIIM2YgJWfMyZOkYow2REQgcuYJMjIkYdinT97omzWqVsX75W2uXkVKVFy/leh6YmIiqVQq\n2r9/v4cXmE8RBNQcNWqEY9upE9HBg3keVrRoUVq8eLEXFqgsbhNGOTk5NG3aNCpSpIhLM0s4puzY\nsYM0Gg2lWpsozpENF0bK4ZAwIrIvjkqUgLgZMwZ/nzQJc9EiI3H3+ugR2vk7d0aUwHiy+7lzmHtV\np07eC6MgSILriy9si56ZM/G4YcMQSZKDXi/ZD4wZI7/9eeVKPMdMiKhUKtpQuzZqn5YulbctJfjt\nNwjRSpUQsbNHo0a+U7gsCDieJUviNSxYkOd9uHTpEqnVajpn7I/FsY8gEK1bh8giY/BDiosjg8FA\nq1atosDAQPrnn3+8vUqXUVwYbd68mUJDQ0mtVlO5cuXoGC+IU4ysrCxq0qQJ9e/f39tLKRBwYaQc\nDgsjIuviKDxcEkf16xN9/DH+PnEiOtKKFEGHWlISIhxPP422/T/+kLZ94QK6lqpXzzsAVhAQhRLF\niy1xtHQpapP69Mnrl2SLb77B9l9+WZ5X0LFjFgexqlQq2rBmDdGrr0reQ3JFmqtcu4Zidz8/pKls\nibxu3eAp5Us8fEg0ZAiOW5s2j01CBUGg7t27U/v27b28QA9hMMDcUcm0ocFAtHo1/V25MoUyRn4q\nFRUJD+c1RitWrKDQ0FAKDQ2lsLAwOvBfrj8jI4OuXLlCcXFxNHToUKpcuTIlJiYqtuCCjLVjSoRC\n7NjYWGratCmPFjmArWPKhZFyOCWMiPKKIz8/y+Jo7Fj8/dNPiU6cQKF248a4+ImdZwEB6KARuXKF\nqGJF+ANdu5Z336J4eftt2xf9DRuw7S5dLBb2WmX1akR6OnWy79as02EtZsXhj4uvRe8htRqpIrkp\nLlfJyZEibDExMNy0xJtvIsLni+zeDYdzf3+iCRPojWHDqHLlyoWniSU5Ge/fr78qvuncrCy6MmMG\nnShXjsYyRiUCAuifTZsU34+ncVoYpaWl0ZUrVx7/ZFm5m6pevTpNmTLF6QUWJqwd09zcXOrZsyc1\nbNiQkszdSzk2sXWecmGkHE4LIyLb4qhGDYijevWIxo3D3z/5RKolatgQhc9ZWTD+02pRCyFy/Trq\nX8qXt9xO//332NfgwbYjMbt3I83XooVjDtV79yL916AB0e3bth9bqhRctY3I05W2fTu2V7MmomKe\nYts2HO8yZUxrukSmTEHaylfJzCQaP56Gq1RUwc+Pbvz2m7dX5DkyMvC5+fln9+0jJ4do0SLqHBhI\nbzBG9Mor+cs41Ay3+xhVrVqVJk2a5O7dFFhEUdSgQQNeq6Uw169f511pCuGSMCKSJ47q1oUoYgzF\n0WfO4PdPPIFRF9nZRM89h8iAsWfR7dsQEmXKEFmqf/j5Z6TL+va1PbPs2DGIgzp17IscY86dI6pQ\nAaNHbDlbt2tH9MILJr+y2K5/4QJeT2QkhJKn+PdfGG6q1aj5MhaSv/xisUbKlxg+fDiVK1WKrogF\nxMOGma5X7MorADUyJggCIp6zZ7t9Vx2feooGt2yJz5pGg1Smku7kHkIxYZSenk5jx46lI0eO0I0b\nN+j48eM0ePBgCgoKKhDte94gNzeXevToQRUqVKAzZ87Q3bt3H//keGLoZAElKSmJTp06RVu2bCGV\nSkWrV6+mU6dO0d27d729tHyLy8KICF/gooeRuTiqXh3FtHXrIp3GGNJrf/+N39evjzRPTg7EhZ8f\nCohFEhLw3JIlLYuTtWshqGJjEV2wxvnziD5VquTYHfG//0LARUQg+mSJUaOIKlemtLQ0OnXqFJ08\neZJUKhXNnDmTTp06RTdv3pQem5yMlJpajRSbpwz49HpEtVQqdAWK6ajDh/GenDrlmXU4yJtvvkmR\nkZG0b98+unvnDt2dPJnuhoRQZlQU0Zo1OH7Xr+M1eFJseopKlVBPpyAff/wx7du3j65fv05///03\njRkzhjQaDe3cuRNRqm++wefN3x8Dk//9V9H9uxPFhFFWVhY999xzVK5cOQoMDKSyZctSz5496bix\nfT/HIcSIhvGPSqUitVpNe23Nf+LYZOnSpY+Po/EPj2w6jyLCiEieOKpTRxrkOmYM0dmzSEPVrUt0\n9y48i156CXesv/wibfv+fYiTYsVQp2SOOHutc2fbDtA3b8IIsVQp09lt9tDpsG2tlmjVqrx/X72a\niDHa8/vvFs/PwYMHmz5er5eibEOHenYg7K5dGOZaogR8bu7cwTo2b/bcGhzA0vFUq9W0TIwePfss\natIYI1qyxNvLVZ5WreDjpSBDhgyhypUrU2BgIJUqVYq6dOkCUWRMWhrR5MlomAgMVHT/7oSPBOFw\nOC4jCqOYmBiKjY2llStXOr8xa+IoIgJptVKlII4mTcLfR49GGqR0aaLatREd0uuJ+vdHRGX5cmnb\nDx+io818rIjInj0YL9Kmje2C6fv3sZ2ICCJHvHCyszHBXRyYaxzpefgQ+3dU4CxZArHVrp314mh3\ncO8eOgJFvycfTqNZRRAQMYqKgvgOCSH67DNvr0p5nnuOKDrae/tPTkakN5/AhRGHw3EZxSJGInLE\nUe3akjj68EOkucqUQTTnzh2Io8GD8TxjD6DkZNxBmztnixw5AuHUpIntQuuUFKSTgoKItmxx7LWJ\nXXYjRijTfn/wIKJpFSt6dqSHwYDCa40GYtI43ZefePQINUeMQSQVNH+j4cORbubIggsjDofjMooL\nIyLb4qh6dVzAatWSPInef1/yL6pRAzUNBgMueCoV0Y8/SttOScF4g5AQyzU/p05J3XAJCdbXmJmJ\nNIyfH0wFHWH+fES0evdWxmPmxg106YWE2B6Y6w4OHkTtVdGipl2B+Y3mzREx1Gohuj2ZnnQnX3yB\nxgGOLLgw4nA4LuMWYUQkXxx98QX+PmoUiqLLl8ffb9+GOBLHXCxYIG07LQ0eQ0FBpuaQIv/8gwhU\ntWoQHdbIzSUaNAjrcnQUyIYN2H/btkiluUpaGoSWHGdvpXnwAMXrohFlfhQVQ4YgUjhuHM61unU9\nN47Fndy65bOF8b4IF0YcDsdl3CaMiGyLo2rVUFtUsyYGzjKGCeuXL6NFvmpVpHcEAWkrxojmzpW2\nnZEB48KAAMvpsCtX0NFToYLtLjSDAaJMnO3m6ADW4sWRGlSitdlggEs4Y0T9+inreGwPQcAoFX9/\nRF+uXvXcvpXgk08QcSRCSrJZM5xr77yDKCOnUMCFEYfDcRm3CiMi+eLoq6+k2p2rV1FzU6UKIj6C\ngEgGY2hxFxHNIc39j0Ru3UJqrnRp27UngiBFrkaOlD8njQiT6atUQQTMkU43W/z2G6JRTZs65ruk\nBH/9BcfxiAjM1sovHDyINnMRvR7/Dg6GODZ2VucUWLgw4nA4LuN2YURkXxyVKQMBM3ky/v7OOxgF\nUrkyoj7XrmEbH32Ev0+fLm07J4fo+edRRLx6dd59372L4tVixTCvzRbz5mFdAwcizSaXu3chYkJD\nLaf2nOHECRhLli5tuQvPnTx6JKX13nnHsVlzvsbVq+jqYgxWEJ7s/uN4HC6MOByOy3hEGBFZFkeM\n5RVHU6fi98OHIz1VpQqiR1evYhvieJHJk6Vt5+Zi6KtabXl8wsOHSK1ERNivO1m1Cmvr0cO2YaQ5\nqakYyOrnR7Rsmfzn2SIhgahlS/jIuGKj4AyCgNSlVovancuXPbt/JREEop9+QoF5sWI4RzxZw8Xx\nGFwYcTgcl/GYMCKyLo4iIyGOypZF4bUojt58E6m0qlWRDrlyBdsQ63CMfWuMW/yNu9ikFwq/oJAQ\nInMzO3O2bkUq66mn8Dy55ORAyDGGuiklLr6ZmfB1EsepOJLmc4R584j69Mn7++PHcfzDw90yzNSj\n3LtH9OKL0mDdfDjygmMbLow4HI7LeFQYEckXR9OmQeS88QaKsKtXR2pJLKQWa4I+/VQSIAYDHs8Y\nLvTmpKcjrRIQYN/p+cABRJiaNHEs/dKuHSJfjGEtSngdCQLEokpF1KsXolNKM3s2okOWRhbpdBjX\nwhhGRDgSSfNFNm3CuRQSQvTtt8q8RxyfgAsjDofjMh4XRkS40H/4oWVxVLUqxFG1apI4ev11FFLX\nrIm/XbyI7UyZIs1eE8WRIBC9+y5+P3Nm3n0bF2zbm9R++jQMKWvWlG+AKHZ2zZ6NuqcePSDIlGDj\nRtQxNWigfLRj/37bM9MEAf5NAQHwXBLfg/yKTidZQbRqVfCMIQspXBj9n73zDo+ibNv+vZsGIYUS\nusHQERAUUar0FiAI0kGKNAEBOyAiiKIiDyBIExAEgdARQZqhFwVBRUB6ryEQCCSQtpnr++P85p3d\n7M7u7M4mmw3X7zg4nmR39p57ZvO+c3qV82IYRjceEUZE6uKoQAFFHJUti0JrgwFmjzduwPuoeHG4\nZRMRTZ2qjBcxF0cjR+L1SZOsz52WhpSK0ei4Huj8eRSAh4cr57TH7dtYd9482AgEBqJO6O5d5+6P\nGidOYD+FC9t2/3aVR49wnxctsn/cP/8gehcUZDnPzlvZtw8RPj8/pGhzoodTTIxtkc9YwcKIYRjd\neEwYEdmPHJUpg3RH2bIQPwYDBq7euoV5a8WKwciRCNEZ2STSXByNG4fXJ0ywrvcxmWAKKAQiIfa4\ncQOGgYULO+5sIyJq3pyoYUP8/Oef+Fz58qiRcgdxcXD/9vNz7+DUihVR9O6IR4+UWp3Bg70/tZac\nrBhDVq1KdPiwp3dkybhx+I8BxiEsjBiG0Y1HhRGRNnFUpgw8aQwGon79EJWpUgVpLjkFMnu20l5u\nLoLkWiTzdJtMRoZiHmluAWCL+HiiWrUwp23PHvvHLl6MNeX024ULSA0WKUJ05Ihz90eN1FQIRSFQ\ns+WOOpm+fbXP5ZIkRMUCAoiqV88ZqbW0NKKtW11PM/7zD1GNGoj4vf8+3MhzAvIIGq6FcggLI4Zh\ndONxYURkP61WpgzSWGXKIJ1gNOIBfvs2HuJFiiC9RIQHtdzNZt69NWWKMpMtsziSJKKPP8b7n31m\nv5MsMZGoWTO0z2/cqH7cw4c45ptvlNfi4iCs8uVzn9mgJMHw0mgkatPGuQ46WyxbhvsQG6v9M8eO\nIRUVFASrA0+SloYo2nffub5GejrR5Mn4/sqUcdzBmB1s2YLvxdvcyD0ACyOGYXSTI4QRkTZxVLq0\nIgT69MEDvHp1jOU4fhzrLFyopN3MxdHMmVhv2DDbLe/yWJIPP7QvjlJSiF5/HYXVtjyTZLp0QZGy\nOY8fYyaZj49tSwFX2bYNHXRVquhL192+jXvgrGdSTkqtVauGejS9nDuHdKgQ+Ft68ED/mq5y9Sr2\n4c1DfrMJFkYMw+gmxwgjIsfiqFQpiKMZMyCOevWCN82LL8K4T+6oWrJEiSyZpx/mzVMKuW2Jo+nT\nbUecMpOertQnzZhh+5j//rOd0klPJxo0SL32yVVOn0a6rlAhx6k+e8yb55qZoyQRzZ+vpNbOnnV9\nD3ro2RPF7u4gIwPDi4ODUeNja+xMdiBJ2IOtRgLGAhZGDMPoRhZGkZGRFBUVRdHZ7bCcGS3iKCIC\n6RKjkeiNN5CmqlEDzsbyvLLlyxXxZC6OFi9WIk62ajYWLIB46t3b/lgQ832OH++cwJEkDKwVAiLN\nmfEj9oiPJ2rSBPds/nz3rOks5qk1T3StTZqEc7vT2fr6daK2bfF9dekCMZ7d1K6Nv3XGLiyMGIbR\nTY6KGMnYE0elS2NESEQE0mM+PsoMrJo1cYzcObZqFd7v3t1SfERH4/Vu3WyLkuXL8X7nzo7bt83n\nuznrSr1oEc7Ttq37Cn3T0mDCKAT8nNwlupzh0SPcWzn6lp2ptc2bcd7Ll927riTh7yYsDFG5Zcuy\nd6zIgAHWqVnGChZGDMPoJkcKIyJt4ujZZzHPSxY/d+8SvfIKOtrk7q+1a/HZzp0tXZ3l1zt2tC1+\nfv4ZTtBt2jh+sH//PaJMb7xh2znaHlu2oCD7lVfcO+B09mzcl5YtiRIS3LeuViQJ9yUgAKnO7Jq1\ndu0a/k7sFcfrIS5OEX1t2iCalB0sXozaNsYuLIwYhtFNjhVGRI7FUUQExJEsArp1I7p3D2mH0FBl\nKv2GDehW6tDBUgRt3AjxExVle4L8tm3oTmra1HFEZ+VKnCMqiujJE+eu88gRdNeVK+deARETA5FY\nqZIySiW7+ftvXFdIiGOncXcgSfjuJ07M2vP88gsGH4eEoC4rq2bYMU7BwohhGN3kaGFEpC6OChaE\nMIqIQN3R7Nl4r0sX1NrUqYOH1qFDWGfTJoigdu0sRdDWrRA/LVvaFjR79qBmpV49x5GXrVsxfLZh\nQ+db5y9ehAlk4cKKoHMHZ8+i5qdgQaJdu9y3rjM8fIiIndwVaEuEupOWLZFGzGoePFC8pBo1yr6o\nGKMKCyOGYXST44UREcTRqFGOxdGcOUraLD4eYiY4mOj337HO1q1I7bRubZke27EDozuaNLEdGTp0\nCJGXl15CRMoeBw7g2Bo1nE+NyV5HgYGolXEX9+/Df8nXF+ktTyBJEK/+/riP7nIBt0V2GyHu2IEI\nZt68MCJlI0aPwcKIYRjdeIUwIrIvjkqXxr/wcLgE+/oSdeoEcfTqq4j4yHPFfvvNdoRo3z4c9+qr\nKB7OzLFjiOZUrQq/H3uYD5+9ehWvXbqkLZ1l7nXkaG6ZM6SnI1ojF4p7oiibCIXxZcog3bV+vWf2\nkBUkJSFKZTAglctDaT0CCyOGYXTjNcKISJs4euYZiCM/PxSr3r+P1Fa+fBA/RHAzDgxEFOXxY2X9\n339H+q12bduGfqdOoa6kfHll3Ica5sNnT5/GfLcOHbRdp7nX0eefu7f7ac4ciK4WLeybFu7Zg4L2\nrOi8SkjAdyME0bvv5szBra5y8CAEsb8/TEOdLcZndMHCiGEY3XiVMCJynFaT56t9/71ScH3/PlHj\nxhBHsvnhnj34vXFjy/TZkSMo7n7pJUScMnPxolL07aimRB4+GxamDLTVGkmQJIgiISCS3Bnh2bED\n11ixonoUKyYG53bXbLfMSBLMMf38kD50db5ZduCs3UByMtHo0RCgL7ygeGsxWQ4LI4ZhdON1wohI\nmzgqWRLdQv7+RO3bIzrStCkiRbt3Y539+22nz44dg5ipVs12ndC1ayhoLl7csdAxHz5buLDzJn0L\nF+IBGxVlGd3Sy7lzuIYCBWwXZaen4x6MHOm+c9ri8GGIzAIFct7Ii0eP4IY+ahRMPJ3l6FH8Dfn6\nEn3ySdYXnTMsjBiG0Y9XCiMidXFUqBAetGXLQhzNn690oyUkEDVvjiLZHTuwjpw+q1vXspPs5EnU\nCVWubLumKDYW9UZhYWhJt4c8fNbXF67bzhYeb9kCQVe7Nrya3IWjouyBA5GezGojw/h4CD8h0IGY\nk9JPclSwTx8MMSZyrrg6NRWRPz8//C398Ye+/aSk6B8WnIthYcQwjG68VhgRORZH5cqhJmjBAnSj\nRUUhctSyJQqwf/sN6xw+jE6yWrUsW/LPnMHnK1RAWiwz9+7BbTt/fscPvJQUotdew/6aNHH+Wv/8\nExGn8uXdO2XdvCg7s1O2nE47etR951NDkoimTEF0rF697DNOdIQsgs6exYBhVzlxgujllyGMP/jA\n9ehfeDjR2LGu7yOXw8KIYRjdeLUwInJeHLVpA/HTujV+37YN6xw9inROzZqIpMhcuAArgDJlbNfB\nJCQQ1a+PlJycolMjPR3ry/PVnOXCBVxP0aLK2BN3IRdlmztly+m0UaPcey57HDyIGrGwMKLt2/Wv\nZ/5d6uWDDzB+5tNPFVHtDOnpRJMn4++uXDmlGcAZmjdHapixCQsjhmF04/XCiEhdHIWFQdSUK4d6\noB9+UHyMEhIgkgICkKoiQpFsoUIYYWHuV3TlijLA1lYaLCkJKak8eeCVZI/ERKTFhCCaMMH5NNWd\nO4g8BAW5RziYIztlP/eckkLKrnSaOXfvErVqhdb3ceNc9wWaNAlRNlf2Lp8zNdWyNujyZeedzTNz\n5gxSt7LhZWKi9s+++y7+nhmbsDBiGEY3uUIYEdmPHGUWR3nyEEVGQhy1a4capF9/xTrHj+NhWr26\nZeH19etIqZUsibRKZpKTkarz83Psz/PLL8qg1xEjnB8nkZQEcefrS7RkiXOfdYS5U/bu3YiMZFc6\nzZyMDIz1MBqReoyNdX4Nee/OegrJQspkIurdG0X8jow9ncVkQmF33rxoGJBr3hzxww8QjLa8thgW\nRgzD6CfXCCMix+KofHmIo0WLII5atUIha/v2EDTy4FG58LpqVURoZG7dQgFt0aK2H7ZpaURduyIl\ntXy54/3OnYuHXO/ezrfjp6cT9e+P6/v6a/dGdDIXZS9Z4rmC3127cL+L20THiAAAIABJREFUFVOs\nFrSSlIRrmDPH8bE3b8LfSubkSaK2bfH9fPyxc+d1hgsXME5EtmVwNHbm1Ckc6+5oYS6BhRHDMLrJ\nVcKIyHFarXx5PGQXLcJ/rbdogYf+669DHG3YgHVOn4aIytyVFheHFuywMLT1Z8ZkIurbFw/UBQsc\n73fFCuyxXTvn/XIkCbVKQhC9/bZ7R1GkpSlRrffe8+yYi9u3IR6MRqKvvnIuwla7NsSqIxITiXr2\nxCDidetwvsBA/J3IRphZNSg2IwMiOSgI9VVyatcWkoSI5iefZM1evBwWRgzD6EYWRpGRkRQVFUXR\n0dGe3pJ+JAkGe2riqEIFiKMff4Q4at4c4qhTJxwrp8LOnkXqrGJFRBRk7t2DAWTBgrZTTBkZECpC\nIF3iiM2bEcFq3Ni1yMz8+RANr7+uv/4lM7NmIQLWurVn28RNJnRjCYE0qNbU1ujREBL2hJ254Onf\nH38DPj7OR6j0cuUKhLoQENdqheMdOxI1aJC9e/MSWBgxDKObXBcxknEkjipWRIpm8WJlPEhCAlGX\nLjh27Vqsc+ECWqTLlbNsIX/wAO39oaG2W/UlCeaIQmA0hCP27YOfUs2arnkVbdwIkVe/vm3Hbj1s\n347rrFLFvVYBrrB1K1Kj4eHaPIEOHsR3IM/Ky4wsmB4+RLSwRAmi55+HZcA77zgfxdOLJKGOKCQE\nEUs5vWvOjBloGmDDSCtYGDEMo5tcK4yInBdHTZviAdm9OyIGq1ZhnUuX0PpfpowyFJYIBbByq/7+\n/bbPL4/1+Phjx3VAf/+N6EalSq75+PzxB0TDc89Z7tMdnD4N08ywMNfazN3JtWtEderg+5w+3f59\nzcjAd/zBB/bXnDAB4q9ePdTxEEEYzZ3rmTTi9euI0gkBt3RzsRsf73iQ8VMKCyOGYXSTq4URkX1x\nFB4OEVKkCAqM5dlpCQmoN/HxQQ0QEdIcpUujg+jyZWX9pCR8JjDQ9mgNIhgXyh1ojsTR2bMQbaVK\nYWyHs5w5gz2WKEH077/Of94e9+6h9sbPD2lIT5KWRvT++7ivHTvaL1oeNIioRg31dT74QEllZm6d\nd+cYFmeRJPxd5s8Pcffzz57bi5fAwohhGN3kemFE5FgcVaxoKY4aNULkqFcv1O7IHWbXriGlVqqU\n5QDZx49RG5Inj2IYmZm5c3HOAQOsIxCPHyOyJHfAXbumCDZXBpDevg0vppAQdbHmKqmp8DaSx3d4\nsiibCPVgoaH4XtTu1b172LeMLE5PnyZ66y0Uyg8bpqQJ09OzrtDaFW7eRHG+EIhmunMsTC6DhRHD\nMLp5KoQRkbo4KlxYiRwVLkz0009IjTVsCHHUty/E0dKlWOfGDcXPyDyik5wMw0h/f/VhqEuWYK0e\nPSzb8+/dg+v2gAHKa3FxKPAOCbGdpnPEo0coKvf3V6Je7kCSUBT87be4lqgoz3vqXLgAIRgQgE5A\nLdYFSUmKKJo40bm6LE+IJkmCQC9YEIJZroFjLGBhxDCMbp4aYURkXxw98wxqc8zFUYMGEEf9+uEB\nungx1rl1C0KqeHGkrmRSU4k6dLBv8rhmDc7bvr1l8ezMmTiHeZfbw4cQaHnz2m/hViM1FfUpQhBN\nm+b8523RrRtqX4jQTRccDPsCW+NSspPkZAgdIRDpS0qyf7w8nmXoUMvX7Q34NRdPnooo3b6NvzEh\n0ChgbkLKsDBiGEY/T5UwItIujpYuxUO/fn3UrwwYAOGyaBHWiY1Fl1Zms8e0NIgHHx+ilStt7+HX\nXxHdaNVKqWFJT4ehZN26lhGPJ08QlfH1VV9P6/W+/77+B/qCBbgPcnH3yZOoaSpShOj33/Wt7Q6W\nLUM6tEoVpMrUSErCUN9vv8Xv+/fj/n79te3jJQnp0BEjLG0LPBU9WrkShfaFCxOtXp39e8ihsDBi\nGEY3T50wInIsjipXRv3R0qVIZdWrB3Ekp15++AHrxMWhtbtwYUxPlzGZlPoktZEdO3fiAd6woZKK\n2rUL+1i2zPLYtDREfgwGOFG7ghyR6t5dX5t3YiKiaZ9+qrwWFwcBGRBgvXdPcOoUvsN8+eynEZOT\n0S04bhxMLPfvV+q81NJxX32FFKX5TDxP1VnFxqLwXAh4cJm7tD+lsDBiGEY3T6UwIrIvjkqWRMTB\nXBzVrQvvoiFDcNy8eVjn7l2iF16wdsI2mWAWaC6kMnPwINauXVsx8+vUCSm6zF1WGRkoEJZHgLjC\nmjUQL02aOB49YY+hQ3GfzM0kU1KI+vTB/saO9XzxclISOguFwH4zi0FzMeOssPnjD6QTx4xRXpOk\n7B20a87q1fj7CwuDxYSn9pEDYGHEMIxunlphRKRNHBUqhChIaCi8cxISFFfruXOxTny84oT911/K\n+hkZipCaPdv2Ho4exedeeAGRl2vXEJEZMsT2fseNw3ojR7r2ANy7F+3f1apZunk7w/nztqNXkoSJ\n9gYDBJ4nW93l/Xz/PQrQa9a0tFmQ33fEw4cQoocPW75uMqErLyrKsi4sOwXhuXNIv544gWhR586K\nfYErQ3dzASyMGIbRzVMtjIicF0e1ayNyNGIEjps1C+s8eED0yisQHUeOWK7/7rv2C6BPnECt0nPP\nQazMmAGhpZby+vZb9dZ/LZw8iZRhqVKKmaGzdOyIuXO2zv/zz/B1eukldPF5mqNH4UFVoADcrZ1N\nOe3YgZTnlCnW723cCGNQ8+82u8TR48f4ezUX3atX42+3UCGkEZ+y6BELI4ZhdPPUCyMiPDw+/tha\nHBUpAqNEWRwtXw7hU6sWhJAseL77DuskJCCqFBpKdOiQ5fqy+FJLg509C7FSpgzaz83b+W3x44+o\nYerc2bWaoWvXcF0FCyKl5yyHDuF61Lrv/vkH11OihO15ctnN/fuKF1C5co7vb2bkGrMuXSw9rIgQ\nMRwwAPVb5lGp7BBIdepYD8mNi8M+hcD8vKcoesTCiGEY3bAw+v/YE0clSyJlUbAgxFGBAogO3b8P\n12QhlO4meUxIcLCl4JAkovHjceyECbb/S/7yZQij8HBtrtc//4w0UYsWjtvTbfHgASwJ8uRBJMVZ\n2rcnWrhQ/f1bt3Cf8uZFfZOnkSR4TQmBgvpbt7R9zlzgLFkCh2xbzt8LF+I92fMq82ezglGjUJNm\n6+9pzRolerRy5VMRPWJhxDCMblgYmeFIHD3/vKU4evlliCN5WOzUqVgnMRGpl6Ag67liX36JY8eM\nsf2gunkTKbWiRS073dTYsQPdV3Xrqk9jt0dyMuqBjEalZsqdPHmCiIYQMFL09MP54kXsRR6zsXu3\nts+ZC5xLl2DJMHCg9T0/fx7RmiFDssf4cvNmXM/587bfj4uzrD3K5Z1rLIwYhtENC6NMaBFHBQoQ\nRUdDJNWsiVSKnCqbPBnrJCWh+ysw0PrhK89O++AD20IhLo6oenX8l76WNNThw9hLtWquDRc1mYiG\nD1c6ytwtXsyjZW+8kf0T6zPz6qv417gxBOFXX2mP7JgfN3Uq6ot+/dX6uIkTlc7FrCQhwbrOyBZy\n51qhQspw5FwICyOGYXTDwsgGjmqOqlWzFEc1amCsxyefWNYRPX4Mz5u8eYliYizPMXMmjh02zPZD\n+f591DKFhBAdOOB4zydPYm/lyll3X2m95m++wZ769XO+BkcLK1YgbVe3rmcjF4sWoXPu4kXlO2vT\nRvtYEPPv688/idq2RUrLUxYFTZsineoI8+hRLvU9YmHEMIxuZGEUGRlJUVFRFB0d7ekt5Qy0iKP8\n+SGOChXCrK5795R2+i+/xDrJyXC4tjVgdt48PKAHDrT9UH30CDVAgYEwhHTEpUtEZctif+Zu3M7w\n00+41jZtXKtbcsShQ0hhRURoSxVmBYmJSD9OmIDfN2+G0I2IsOwotIe5b5H8t9K2rXVbf3bw3XcY\nQ6PVmyqz71EugoURwzC64YiRHdTEUdGiEB/VqyviKCwMXkT37hF99hmO+/xzrJOSogyY3bzZ8hw/\n/ghx1KeP7db3x48RDQgIgDuzozTXrVtI9xUqhGiGK2zfDuHwyitZM4vr6lXcu+Bg6/uRXbz5Jlr4\nZUF65Qpqxvz9UWulNZ1o/p1t2QIh6+p9d5XYWEQknYny3bmDqJEQiCLlkplrLIwYhtENCyMH2BNH\nxYtDDOXPjzRRWBge+HfvQhQJAZFEhIGur72G/7LfuNHyHMuXY7Zajx62H24pKWjLll2cHREfD7+l\noCCMGXGFo0cRHStfHpEod5OYiPZ5oxEdfdldlL1vH67t+nXltZQUxbyzZ0/sUQvm0b6siLJlJatW\nKTPX1q719G50w8KIYRjdsDDSgBZxFBoKcVS4MNJsd+8qHWiffoo10tLQGeTra+3/s2YNXu/UCcdl\nJi0NqR4hiKZPd7znpCTUNwUEuNaKTwS/nnLlcJ3mjt72cMZwUnaPFoJo0CDb151V2BvhER2NiFnl\nys4ZYHp6DIqrxMYSdeiA76FbN0Q9vRQWRgzD6IaFkUYciaMXX1TEUZEiSGfFxWFEhnl7floa2rl9\nfKynom/YgIhSu3a2TRvv3kW9kfk4EnukpEBo+fioD7N1xJ07SDEFBRH99pv9Y3v1QrrPWRYuxHU3\nbeqa5UBWoHUQbW5BkhQbiqJFXRfTHoaFEcMwumFh5AT2xFGxYuhOCwnBg7RoUUUcTZ6M40aPxhrp\n6Uib+fhYP3S3bEGUJzLSckirzK+/KudXGzFijjzM1tyh21kSE7EfX19L88LMTJiAvbsyBmT3bnT4\nVaigzdwyO0hMxPckdw+mpmbNeSQp50Sbbt3C/Dc5nai1Uy+HwMKIYRjdsDByEjVxVKwY/r34oqU4\nqloVUZepU3HcRx9hDZMJERaj0VpsxMSgxb9ZM9s1K/36IcIiBNEXXziuz5EkxaFbzXXbEWlpKFiW\nvZpsrfHwIcSNrQG4Wjh/nqhiRUQttBovZjWSRDRnDoqya9VC4bi7+Ppry3ozV+beZQWShO7E/Pnx\nN525Ji4Hw8KIYRjdsDBykTFjtEWOihVDSiY2Vhn+Khs7mkwQGwYD0eLFluvv2YM0ToMG1g7KDx9i\nDlnp0paRKHtIklLz9M47rkUoJEnx/VFbY9IkiDZXvJSIkEpr2hT39IcfXFsjK/jzTwzdLVTI2nbB\nVTZuRAH4O+8or2VkeN4dXObmTWWEipfgPTtlGCbHwsJIB2riqGhRTJYPDsaMquLFFXH03Xc47t13\nlRTKwIEQR5mFwMGDEFh16lh71MTEIFUnWwOMGKFN7MyZo9gDuGriOHs21ujSxboWKikJNVb9+rm2\nNhGiU2+9hev68MOcE0m5dw8pRYMBTt7u2FdSEtrla9Yk+vtv5fWccs2SZHsuXA6FhRHDMLphYaQT\nW+KoWDFrcVSiBGag3b5NNGuWImZkcTRkCF77/nvL9f/8EykNeS6bOfLDc+5cfHbAAG0P1Oho7PW1\n11wfz7FuHeqJGje2Fm3Tp6N+6uxZ19Ymwn2ZPh2pxqgo7a3zWU1GBtKXBgP8pe7edX0t8+9qwQJE\nAL/6yvb7Wpk/H3P6nlJYGDEMoxsWRm7AnjiqWdNSHFWqhAJXWcy8/bbSOi7PK5s1y3L9v/9GCueF\nF9QfxEuWQET06KGt7f3XX+HG3aSJ68NO9+2DaKtWDWkXmeRkzJXr0cO1dc3ZsgX3r3p199b3mJOR\ngajIwYPaPxMTA9+qZ54h+uMPfeeWuXoV30ezZpYF7M6kPdetw9/QhQs5JyWXjbAwYhjGivXr11OL\nFi2oUKFCZDAY6N9//7V7PAsjN+FIHAUFQRyVLIkC41u3MBJECESL5NqS996z7VV0/DhSVFWrIiVn\ni9Wrce4OHWy3+2dm716Ijldecd275uRJiINSpYhOn1Zenz8f6TR3dFudOEH07LO4l4cO6V8vM5IE\ncdeunXOfu34dc9/8/JAi1SNEzKNDn39OVKYMZrrZet8ejx4hkjd1quXrOaXrLYthYcQwjBVLly6l\nL774ghYuXEhGo5GFUXaiJo6KFLEUR888g7b0mzdRV2QwwOBQFkey6eGUKZbrnzqFeqVKlSwjNOZs\n2oQHY6tWGCfiiL/+QuSjShX1NR1x7Ro+X7Ag0e+/u7aGI+7cgQjJkydr5nvNn4/v4fx55z6XloZ6\nMdkcUU/Kz1z8/Pknivh79rRt26D22YcPEXV69lkI7+XLba+fS2FhxDCMKleuXOGIkSewJ45ko8SV\nK4nCw9GRdOOGMu19wABFHMnrTJpkuf65cxBW5cpBkNhixw4YQTZqpC1Ndvq00uV28aJr133/PtGr\nr8Jm4JdfXFvDEcnJEAryHDp3poqePIFAHD7ctc+vWoXv9rnnnHPLzkxmT6O330aUUevA3UGDUJNl\nMCDd16cPUffuEJZPASyMGIZRhYWRB7EljooXhzh65RW04a9ahfRTuXJIySxejIeZnH6SJKJx4xSv\nInMuXUJEICJCfY7Z/v3oaKtdm+jBA8d7vnIFQq14cden3icnE73+Omqd5s93bQ1HSJIyh65nT9eL\nx23x6af4brTcL1ucPu0+t2zz6M7evUilOuKXX/A31LAh7o/cTTZqFCwQYmNzfd0RCyOGYVRhYeRh\n7ImjWrXw8Fy5EuKobFmIo6VLISr69FEejLIIGD/e8qF29So+Fx6upH8kCV1Ns2fj9yNHkN564QVt\n09NjY3FsgQKu1/KYTBh0Kw/QzaoH8apVSKvVqeO+aMjt2zBy/N//XF/D3C17+HB9btnO1gWdPw+h\n/dZb+BuLisLrFy9CSG/f7vpevAQWRgzzlLN8+XIKCgqioKAgCg4OpgMHDvzfeyyMcgBaxdGzz0Lk\nXLuGmhCjEa7Ysjj66it8duxYS6Fx4wYKuUuUUAqfhw9HjdE//+B3uWi7cmUUfDviwQOievWwtx07\nXLtuSSKaOFEZDuuqX5IjDh9GQXZEhOtRrsz06QOxqmfPslu2nx8idtevu2dvjs5JBF+kO3cg7vLk\nQSr1yBHspU+frN+Hh2FhxDBPOUlJSXTx4sX/+5di1onkrDAqUqQIFS1alGrUqEFRUVEUFRVF0dHR\nWX0JuR+t4igiAp1IV68iDePjg1SR/ICW562NGmUpjm7fhugpWhTiIDkZUZ/y5ZX6ojNnUKdSrpy2\nlvfHj1G87e9PtH6969e+aBGuo107bYXgrnD1KjrKgoOJtm7Vv96xY7jP7ijwPnwYIisszPEAXndg\n/ndx964iFlevhtiWR7Xk4g41FkYMw6hy5coV7krLKdgTR7Vro1B65UoUP5cujXqf1ashKrp1U8TR\ntGmWI0Vk4uLg8xMWhgf7uXMoBO7RQznu0iWsXaqUts6r1FQ4MhuN+pyPN2/G9dWti+iVlpSeszx6\nRNS2LfY6c6b+9daudZ+h5N27RC1bovbn88+zR5SYn+PGDdx7gwFRvFwOCyOGYay4f/8+HTt2jDZv\n3kwGg4FWrVpFx44do1gV7xsWRtmEuTjy8VHEUeHCqJMxF0cREZg1tnYthFSXLoo4mjlTmVVmLo7i\n4+G0XaAAUifR0ThuwQLlmOvXkXorXpzov/8c79lkwrgSW75KznDoEAwqfX3dY/poC5OJ6P33FdPM\nrErfuYLJhHorg4GodeusmVhv63q3bEExvMGAvyu57Z8jRgzDPE0sXryYDAYDGY1Gi38TJkyweTwL\no2xEHsBqTxytWoWU2rPPQhytXw9B0amT4mg9Z44iAMwfcg8eIAIVEgI35kGDUGdiHjWMjcWMtbAw\ny9lcakgS0ciRtgvAneHsWRSCCwHBl1XMm4f71aKF9agST7NtG+5BRATR0aNZc45Hj4g2bMC4GaMR\n96JuXcXVW65by6XiiIURwzC6YWGUzTgSR3nzQhyVLYu016VLeND5+eG//uUuJ9mQ8K23LB9yjx4R\n1a+PVFpMDOpvnn/e8pj4eHgq5c+vfZzF118rnVauPlSvXkVhuK8v0e7drq2hhR07cG2VK7vuy5RV\nXLmCe+/vj+/QWaFpfu+Tk+FY/ttvRF9+SdS7Nwrny5YlevFFWD+sXasYd5pMllYEubB1n4URwzC6\nYWHkAWyJoxIlEMWpWxfiaOVKFEuXKoWH+8aNEEft2yviSDaG7N/f8oGZlIThroGB8EeyJX4ePlQE\n1J492vY9dy7O17u366mqFSuUWqs1a1xbQwunT0MghIURmXVr5ghSUpShwX37Ol+Yfv06PK6aN8fn\nf/wR38327ehIS0qy/kxyMtK5kyYhnXnlilsuJafBwohhGN2wMPIQ9sRRvXqKOCpfHl5FFy5g8Ku/\nP7q85A7En36y9j4iwsO2RQuk0rZts72HpCQMLLV3TGaioyFq2rd3zVxRkiDagoMhstxRLK3GvXtE\nDRrgni1blnXncZWffsL3XL26c6NIzp7F34XBgPEwmzdbvm8yWUaDTp3C9ybXifXsiQiTObkkesTC\niGEY3bAw8iCOxFGePBBHFSpgZMeFCyioDQggatNGEUey95F5ez8RhEubNhAGmzbZ3kNyMjq6/P2R\nstPCr79ib02aaBs5kpl//8VDvVEjXPOYMVn3YE5JgWgUAs7WOa225vhxRAZDQ7Xff5lhw3Af5XEy\n5h1/e/cqPyckoHU/MZHo55/x91S7NmwcYmIsv8Ocdn+chIURwzC6YWHkYbSIoxUr0E1WsiQiC9u2\n4fXWrZWozapV1u39REi7deiANJyaJ1FaGlrzfXwQWdDC3r2I+rzyimtdVoMGQQzIRpB9+yrF5e5G\nkpQaqS5dtA1lNf/sgQNZO4A1IQHfkexT5ShNaf7+tm3wsDIYUFe0axeiY337Ksc8fIi/lz590LUY\nGkr03nuwhPjhBwzB1ZpOzeGwMGIYRjcsjHIAtsRRyZJoca9fXxFHlSpBNJ07h4LbPHlgxCiLI7m9\n37yDjQg/d+2KtVeutL2H9HTUDhkMRAsXatv30aMQcFWqKAW+Wrl3TynAXr4cwi0y0nZ9jLtYtw6p\nq1q1YIyphRMn8H1ktdmpJMGt2scHqUYVe43/Q56nR4R71q0bvruAAKI337S8vthYFKILgfTqvn2W\na127htq2jRvde00egIURwzC6YWGUQ7Anjl591VocnT2L7qu8eVGEK0dB5A62Dh0s53Slp2PMiNGI\n2hZbZGQQDR6Mc2ut/Tl9Gmm+MmX0dYDFxKAQ/JVXssYEUubIEXQBliplaWNgjzZtcN+zMmoks2cP\nIkAlSigt9vYwjx4tXow2fXOPqvR0pNnkv6ktW5T35Ou5dAl/Q5Mn43fzYnAvS62xMGIYRjcsjHIQ\njsRRQAAiPpUr4+F+5gxSJ4GBKKKWH2ibNqFmKCpKqUMiwoOwXz9EFj77jOj33633IElw1haC6Jtv\ntO37yhUUAxcvTnTypOvX/9dfEAXly+NhnVVcv46xKUFBqJdyxJ9/Zk/USObmTaRRfX2JvvvOcf2V\nuWAzjxTevYu/gbx5id54Ax5KI0daHnf7NsSw0Yjo44oV6FxbvFhZx4sKs1kYMQyjGxZGOQy1miNz\ncbRiBcRRsWKI2OzZA3HUpImSipKLtM3rkIgQAZBbxUNCbA+WlSS0g8sFy1oejLGx6K4qWBBO165y\n8SKKkYsV02ZA6SqJiejuMxqJZsxwfI3ZGTUignB57z18B927Oz+iJCUFBqA+PhhCnJCAYu1ixZQo\nU3IyUdOmmNfXvTvR/v0o8L97FxHDfv20DR7OQbAwYhhGNyyMciBqkaOCBdF+LoujqlXxoDt1CnUj\n+fKh00sWR9u3IwXXsqVlwbEkIb0iBFJgakXP33xjezabGg8eINKRLx/SfK5y5w5RzZoo7tazjiNM\nJqIPP8Q1Dh1qv+g5u6NGMqtXI7JVuTJEsDOcPIl0nPzdHT6spNMOHUL6LDiYyJYrvsmEdOy6dfqv\nIRthYcQwjG5YGOVQ7Imjhg0VcfT880g//fcfuqeCgiCe5AjDzp1IpZin2ojwsOzRA+u++qr6PuTZ\nbEOGaKs3SUqCEPP3R2u4qyQmYh0/P1xnVrJgAdJWLVvaHyOS3VEjmVOniJ57Dt+tVlNMW9+VyQQx\nXa8e5urly4dORbldX067mkzwRgoNRTefF8HCiGEY3bAwysE4Ekf+/oo4KlIE4ujgQUQB6tdXHnh7\n9uAh2LixZdeXJEEMyG3saixciLqkvn21iYLUVKX9f8kS5645c71Mr17Y37ffOreOs5iPEVGrb/JU\n1IgIQrFrVyWC56q1wdCh+F7KlLEsxDZn+XJ0GpYpo/y9eEmdEQsjhmF0w8Ioh2NPHDVqBHEUHY2Z\naIULo738jz9QP1S3LjxsiFA/EhSE6JC5oZ8kQVgJgSJctQdgdDTO36WLtoeyyaSk6777Ttu1/vor\n/JrM/xYlCd4+QqBwOCu7pOQxIoUL2y5MJyL6/nvnrQnchSTBvdrXF9+jK/U/I0eiINt8Vp18Tx89\nwoDikBBExo4dU87rJbAwYhhGN7IwioyMpKioKIr2xH8NM/axJY6eeQZmfebi6IUXFHF0+DBSIbVr\nK+mh339HNKlePUvxkZiIiJMQRO+8o/4gXL8eqa2oKG3jQCRJqeGZMMHxA/baNUS2Roywfm/6dESt\nevXKOiNIIhQe16+PVGVO/b+FAwdQkF+smLUnkRbMvzvZ0uHkSaRW5dl7hw/j9exOG+qEhRHDMLrh\niJGXIIsjg8FaHDVuDHG0fDncj8PCMGriyBGkh2rVUsTRoUPWgokIvkgtWjgWR1u3oqC7eXNtw08l\nCXO5hIDDsqOIz5Qp6BT76y/r91auhDBr2dL5Li1nSElRUniffZYzIyaxsUin+vgQTZumbY9qIicj\ngygiAt2AmWeoeRksjBiG0Q0LIy/Cnjhq0gSiIToa4qhQIaRCjh7F+y+/jK4xIggm+bX79y3PMXeu\nklZTEzG7dyOy8+qrlpEne8yerYz+sNf9lZaG1F7NmrYf5Dt3Iur10kvoXssqJEkZV9Kjh2sDc7Oa\n9HSijz7CHjt3dm1uHRFE6CuvWIrRFSs8lzLUAQsjhmF0w8LIy7CLR6OzAAAgAElEQVQljkqWVCJH\nfn6IHNWooYijv/9GTVLNmooQkl+rUcN61plcbN2vn3qU4Y8/EHlyZlbasmXY8+uvWxpPZubgQZx/\n6lTb7//zD9JIZcvCdycrWbUKEbI6dbJWiOlh3TqIxUqV0MHmLAkJGCkyZgwsGr7+WntdWA6DhRHD\nMLphYeSFqEWO8udXIkfLlyOqUrAghMQ//0AomQuhY8eQdqteHbU15ixdipTWG2+oR3j++gtrVq+u\nXTRs3Ij6nebN7afDRoyAIDl3zvb7ly7BIbtIEdtpN3dy+DAsESIiLMdt5CTOnEEnWVAQxJwrrF+P\n4cDm5MQ0oh1YGDEMoxsWRl6KPXHUtCnE0bJlSJcVKADx8O+/EEIvvIAhrkQo1C5SBOmrzOJm5Uqs\n3bWresHzyZOI3lSqRHTjhra9796NB3jt2tapPJmkJLSLN2ig/nCOi8P1BQVh1lpWcuUK7lFICAb4\n5kQSE+FgLddzaS1StxUV9DJBJMPCiGEY3bAw8mK0iqNXXlHE0YkT6FwzjxKdOgVxU7my9VR3uRMt\n81Bac86dIwoPh5C5fFnb3o8cQbSpWjX1Sff79xNt22Z/naQkoshIJUqWlTx8iHP5+KAWi4jo/Hn1\n1n5PIEkYceLri+46ey39kkQ0frz6UGEvhIURwzC6YWHk5ZiLI19fS3HUrBleW7YMnWn586MY++RJ\nJUokT7I/cwZDYCtVsnyYpqai9sTfn6htW/Ui5CtXIIzCw9XTX5n57z+0nZcrp11Q2SItjahPH1y7\nWl2Su0hPJxo+HOd67z3ck3Ll1EWjp5Bb+osWtU6PmdOxI7yjstIfKhthYcQwjG5YGOUCbImj8HBL\ncbR0KVJX+fMjWvPff3hoVqmipNDOnYOoKl9eSYstXYr1Pv4YNT8tWljOXTPnxg0Iq2LFIL60cOkS\nBFXJkq4VDstIEtHo0djrhx9m/YN+5kzUYDVqhPs+Y0bWns8VtLT0HzigzE/LBbAwYhhGNyyMcglj\nx9oWR6GhKHSWxVGdOnjtzz/h9Jw5hXbxIlGpUuj4unZNmakWGEg0fz7+N/NoEXPu3EGarlAh7UXR\nt25hhlehQhBtepgxA/egZ8+sj+Js2YJusIIFIThlO4ScRHq6YrLZpYt1wbskoVuxeXPP7M/NsDBi\nGEY3LIxyEVrE0U8/YVRISAjMHm2l0C5fRgdW6dJIkT1+DG+kiAh0ldkaLWJOfDyKokNDtdffxMcj\n3RccbDmuwhVWrULqr0UL1719tHL8OKJdBgNR795Zey49rFmD7+255yCIzVm2DH8rWqN8ORgWRgzD\n6IaFUS7Dnjhq0QJplaVLMRYkJAR+ROfO4eFesaJi6nf1KlJczz6LKNLVq6hLatAANSshIUjNqUVJ\nHj6EeMqXT7vQSUxE6i9PHqJNm/Tdh+wygiRC8XjJkrjX8+Zl7bn0cPo0hFFQENHatcrrqakQxwMH\nem5vboKFEcMwumFhlAsxF0dyt5osjlq2xGs//YSupeBgRHXOn7euL7p+HYXF4eF4/+BBRGL690cq\nrkABCA81g8ekJESq8uTBKBEtpKSgA87XV31WmdY29Ow0goyLw3UKQTR5cs5td09MREpNrsWSPaom\nTsT+M/tZeRksjBiG0Q0Lo1yKmjgKCbEUR6++CnF08CDEQ3g4xND161jn5k2iChUQETl7lmjxYqw1\ncyaEh2wQKXe3ZSY5GUNn/fyIfv5Z297T09FlZjAobfEye/YgiqV1XMWlS9h/dhhBfv+9Mux3wICs\nHXarB0lCMbaPD4rHY2MhiPLkIZo1y9O70wULI4ZhdMPCKBejRRwtWYL0WFAQOpQuXYLwkIuviVB7\n9NxzSLecPk307beIIBHBF0nubsvsgSSTloZZXj4+2ifWZ2TA/VoIjKiQiY9HFCgqSntUJi4OXk5Z\nbQSZno5RK0uWQAg2aaJuYJkT2LsX97JECUQNT53KuZEujbAwYhhGNyyMcjm2xFGpUhBHrVrhtcWL\nETkICoKpYubiayKInipVIIIyF+mePg3RZF6jlJn0dBQnGwxEP/ygbe+yAaEQRKNGKQ/tn3/Ga84Y\nE5obQWoVZ3rYuxfdapUqZX0aTw+3biGl6ueHKCALI4ZhnnZYGD0FaBVHjRujWHrfPgii0qUhkGTz\nxbg4OFUXLoxuLHPOn1fScHKkKTMZGUSDB+P8zgwp/fZbfOatt5TxFT17Yv+ycNOCuRHktGnaP+cq\n586hZissDNG4nEpaGkaICIHZeI8fe3pHLsPCiGEY3cjCKDIykqKioig6O/5rmsl+1NJqwcGIpBiN\nEEdNmkAc7d0LgVOmDETUpUtY5949zForVAhDaM25dAlCKiJCOT4zkkT0/vs4/6RJ2ve/aBH22K0b\nHuQPHmD/DRvanvWlhiQh+iQE0UcfZb0RZHw89ujvj7b4nMyKFfCpqlZNSZV6GSyMGIbRDUeMniLU\nIkfBwUStW0N4/Pgj5qwFBqLQ2bwz7eJFrBMfj260ggWtC5qvXkV9ktzJZgtJIho3DucfN057+mbd\nOqR8WrdGVGP3blzL5MnO34vp03H+Xr2yvkg6NZWob1+cb/z4nJ2uOnECUa7QUHhWeRksjBiG0Q0L\no6cMreKoWTOIo1270L5fvjza+WWx8+ABCprz50frvjk3b6LeSC7WVmPSJJz/gw+0i4Xt27GvBg3g\nlfThhxBLauk7e6xYgc+2bGntCO1uJAlF5EIQde+uPnMuJ5CQQPTaa9jr2LHOReQ8DAsjhmF0w8Lo\nKeTTT9XFUZs2EEeLFsGDKG9emCXKYqdkSWVIbEICRozIRpG//Ua0Ywfek4u1ixRBFEKN777D+YcM\n0Z7WOngQgqxGDUS0tm1z/V7s2IHrfvlldcsBd7J6Ndri69bNnvO5SkYGhJzRCOHoJbAwYhhGNyyM\nnlLkVJY9cbRwIR6KefNCQNy6hS6r4sUxSoQIIzdko8i6dZGCkYfBxsUpc9P++Ud9Lz/8gH307as9\nOnHsGERXpUqK55Kr/P03uu3Kl1evjXKVGTOIhg2zfO3QIZyvdGl9g3OzktRUzMZbvhzfn5dgFAzD\nMAzjChMmCDFuHOwIJUkIHx8hrl0TokABIfbuFSIyUoiBA4Xo0kWIhg2FaNtWiP/+E2LPHhzTqJEQ\nZ84IERwsxNatQrz4ohDHj+O9tm2FuHtXiMKFhdi1S4iICCGaNBHi6FHbe+nfX4hly4RYulSInj2F\nSE93vP/q1YU4cECIJ0+EqF9fiAsXXL8XL74oxO+/417UrSvEsWOur5UZHx8hZs+2XLNWLSEOHxYi\nXz4h6tQRYscO953PXaSmCjF6tBAHDwrx99+e3o12PK3MGIbxfjhi9JSjFjkKCiJq21bxHYqMRApo\n+3bMHpM9jf77D+skJaHdP29epLnq1VPqaB48wFw1OeWmxvr1qPlp1057Dc7164gaFS1K9O+/+u7F\nnTsoKg8ORm2VO0hLgzlm/frWdVQPHyp2CfPnu+d87uTLL9FNpzcil42wMGIYRjcsjBi74igqShFH\nrVsTBQSgpicujuj555HOkg0fHz9GXVJAAAROjx6KGJBTbkFB8ElSY8sWCLDmzbX76cTFod4of344\nOOshMRHDdv39UQ/kDnbuxD1dssT6vfR0oqFDs88+wBkePsQ8vMypwBwMCyOGYXTDwoghItvi6Nln\nLcXRggWoPwoIwFDYu3etDR+fPEEUxM8Pa3z2mXIOOaoUGAixoMauXfBSatAAgkoLCQmY+xYYqH/s\nR2oqDCQNBrhBu4Nu3SAiHzywfk+SYB9gMGCAbk4yWPziC3zfXgILI4ZhdMPCiPk/7Imjdu3w+vz5\nEEr+/ojuyIaPYWFKKis5GQLK1xdrHD6snOPxY0Rk8uSx30128CBSb7VqaZ839vgxUn7+/ohw6UkB\nZWQoRpRjxuj3HrpxA/dx+HD1YzZuhCCsWROF7jmBhARE4rwEFkYMw+iGhRFjgZo4ypcP3jayOGrX\nDgJk82YYPr74omX3WUoKjvHzszYKlIWTvz/Rpk3qezl6FCaSL7ygvbU9NZWoa1fsu1Il/ampKVOw\nVr9+SHvpYepUdPv9/bf6MX//DUuE8HD9NVPuYsIET+9AMyyMGIbRDQsjxgot4mjePPwsi5v7963d\nsFNTkRry88PgV3PM31u/Xn0vx4+jsLpyZe1RFJMJwksIiDO9LF2K6FfbtvrSXGlpRJ07WxtiZubG\nDQjNoCAIT09jK/2XQ2FhxDCMblgYMTaxJ47at1fEkSxuNm7EA/Tll1Gwe/Qo1pHFgK8v0dq1ludI\nSyPq0gXrr1qlvpczZxBFKVcOI0e0IEnYizx8Vm8qbOtWXHudOkgfZjVJSRB1RqP76pyeAlgYMQyj\nGxZGjCpaxdHrr0Mc/fILalJq1bIcFZKejuJjWwIoPR0T3Y1GRGbUuHQJhoilSmkfcJqSgjEmQqDz\nS684+vNP1FJVqqRdoOnBZFLqnIYP96rRHJ6ChRHDMLphYcTYxZE4EoLo+++JOnaEONqwAeKodm24\nYMuF1+YCaPlyy3OYTERvvolzLFyovpfr14kqVIDztlbH6IsXUegtBM6hV1ycOweBVrKk/VEn7mTu\nXNz7Nm20d+k9pbAwYhhGNyyMGIfYEkcREWiN79ABv8+dq6TM1q+HB07dupamjiYTUZ8+EEeZPX0y\nMogGD1bWUiM2Fv5JhQtjLIgWVq7EukYjUadOiCTp4fZtjDrJn9++J5M72b4d97J6ddcG5j4lsDBi\nGEY3LIwYTYwfry6OXn8dv8+Zg5ohX1+idess56gdPIh1MjIgjoQgGjTI8hySRDRiBN6bMUN9L/fu\nodA7f35LKwB7DBxI1KwZPHlatEANjx4SEuDJFBBgXVieVZw8iWhd8eJKDRdjAQsjhmF0IwujyMhI\nioqKoujoaE9vicmpaBVHXbsqxdaJiTBqDAoiOnAA65hMGNgqBNGHH1qeQ5LwmhBE//uf+l4SEhCR\nCg7WFrVJT8faO3ciDVi3rv5uq5QUCEGjEenE7CA2FjVcgYFIWzIWsDBiGEY3HDFinMKeOOrYEb/P\nnq0UW69ejehMo0YQJLKISUlBnY4QWNMcSSL65BO8N3Gi+l4SE4maNMF8tt9+034Nhw8r/kh37jh7\nByzJyEBhtBDw+3G2wDstDdExZzrdnjxBStBggDeS3qLyXAQLI4ZhdMPCiHEaLeJo1izMSpM70eRx\nIPnyEe3Zg3Xu34dAEQIDSzPz+ed4b9w49Yf/kyeY4ebvb20kaY8TJ5CSqlBBf4eZJGH/QqBOypkC\n7zt3UKSeOa3oiIwMotGjlXPqNZ/MJbAwYhhGNyyMGJewJ446dVLEUc+eeH/lSpgjNmuGY+Tp9Zcv\n43chiL75xvo8kybhvdGj1cVRaipSeb6+zg1+vXABHWbh4URnzzp7B6xZuBDX+vrrcPfWyqxZuI9a\n66Uyn9PXF3VTCQnOfz6XwcKIYRjdsDBiXMaWOCpdGqmtzp3x+8yZRL16oQ5nxQpEeJo3xzE7dmCd\nI0eUuWqTJ1ufZ9o0vPfee+riKD0dESpbHW/2uHEDrtqFCyvjTPSwcSPsARo00F7DZDLB6fqll1yz\nE9i5E4XoVaoQXbni/OdzESyMGIbRDQsjRhdaxNF33xH17q14GD15QtSyJQRETAzW2bgRD3chECXK\nzKxZeO/tt9Xnn5lMRAMGKN5KWrl7F4NbQ0OVAnE9HDwI9+/nnye6eVPbZ/74w3E3nj1On8Z9L1rU\ntchTLoGFEcMwumFhxOjGnjjq0kURR7KH0bJlSDVFRkIcbd+OdVJSlLW++ML6PPPn4xwDB6qLI/Ni\n6GnT7O87KQk+TFu3wnepYUOk9eT96OG//+C6/eyzGGmihaFDUYPlatQnLg7ddnnyEK1Z49oaXg4L\nI4ZhdMPCiHELajVH5uJoxgy4T8vjP1JS4OYcEABxIiMXXY8fb506W7wYn+/TRz3tJElKYbK9rraM\nDIizwoUxoPbJE+zHz896rpsrXL+ONF2hQkSHDjk+/uFDiKmWLV3vNEtORkegHHl7yjrWWBgxDKMb\nFkaM27AXOeraFb9Pn07Urx+OWbIE4igqCl1l5pPkv/oKx48da/1wX74c6/food6NJUmKwBozRl0g\n3LmD7rQmTSC00tIgLIxGokWL9N+T+HiievUQidqyxfHxv/4Kj6fYWNfPmZFB9OmnuPb+/XFNTwks\njBiG0Q0LI8atqImjPHkUcfTtt6gFMhgQAUpNJXrtNYijTZuUtSZPVu9IW7MGBdudOtl/8E+ZgjXe\neUddHO3aBSE0dix+N5mI3npLEXJ6efKEqF073A8theHuEjJLliD61bSpfjNLL4GFEcMwumFhxLgd\ne+JITvNMm4ZaIYOB6McfIY46dMCD/JdflLXkjrQPP7QWNhs24PjXXrM//2z2bGUEiVptkuxDJEd1\nJIlo5Ei89tln+lNS6elKYfjkydmX4tqzB4Xgzz1HdOlS9pzTg7AwYhhGNyyMmCzhs88ci6OpUyFW\nDAb48aSlwSDSz89y/pg8IuTdd60FxZYtqFFq3dq+d9CPPyIq1KuX7fRbRgbqiwoWtCx+/vpr5dxq\nokorkoSolGw9oHc9rZw5Q1S2LGqpfv89e87pIVgYMQyjGxZGTJZhTxx1747fp0yBc7MQRD/8AHHU\nubMya+3RI4iV55/HMcOGWYujmBjUMTVvDhNJNVauxD46dUKEKjPx8SgYf+01y9fliFPfvu5xmJYN\nHXv0sL2PrODuXQz0DQiAE3kuhYURwzC6YWHEZCnm4shoVBdHQ4bg5/nzIT7MZ61t3oyfGzRQRmBk\njrbs3o1W90aNMENNjQ0bUMvUtq3tCNOJE7bnpy1dqrha20vbaWXNGuyjRQuIv+wgJQVO5PIIllzY\nscbCiGEY3bAwYrIcW+KoTBmIox498Pv//gfzRiGI5s1TnKzlcSI//ID3OnTAOgMGWIujAweIgoPR\nBWbv73nbNpy7WTN4GWnll18QcWne3LnPqbFrF1FICMwl9Q6z1YokKd/Hm29mX8Qqm2BhxDCMblgY\nMdmCWuQoIEARR5MnI1UmO1ebTERvvIHjo6OVNeSi7b59rb2MDh2Cg3WtWvY7sfbsIQoKQnrJmb/9\nXbvwubp13dPp9c8/RMWKEZUrp14cbTIhkuYOMSazdCkiVo0bY5hvLoGFEcMwumFhxGQbapGjgAAl\nxfPNN0QjRuDnOXMgCuRxIkuXIlLk60s0apRSTJ1ZHP31F+qSXnoJdUNq/PEHRNTLL9s/LjOHD2P9\n6tX1+Q3JXLoEYVSsmO15bZcvI8L1/vv6z2XOvn24jooVMVA3F8DCiGEY3cjCKDIykqKioig6OtrT\nW2JyM1rE0aRJ8B0SAoXKJhOiQ0Yjustat0bUZuZMdaPHY8eIwsKIqlXDqAw1/voLztTVqzuXzjpx\nAkKmfHmiq1dduhUW3LmDlFpICOqlMjN5Mq5fi4O2M5w7h2sIC3PPnDgPw8KIYRjdcMSIyXbsiaM3\n3sDvX3+NlnYhIIAyMuDibDCgBmn+fNTLrF2LCFKXLtbGiP/9h6GqlSsT3b6tvp+TJyFyKlXSPvSV\nCFGWiAii8HCis2dduxfmPHqE+iV/f+tZZ+npiIBVqeL+uqB791DYHhBAtGKFe9fOZlgYMQyjGxZG\njEewV5Ati6OvvkL6SB5Cm5Gh1BctXKis9fPP8D7q2NFaHJ05Q1SiBNJFN26o7+fcOQicsmVtD3Fd\ntsx2tObGDZgnFiliOw3mLKmpiIAZDLAJMOfYMYjAzz7Tf57MpKQgLSnPl/PSjjUWRgzD6IaFEeMx\nZHEkhLo4+vJLxeBx+nSII9n3aMECZa2NGxFpad/eOqJy/rwieuylvS5fxvnDw/EZGZOJqHZtvH7v\nnvXn7t5FNCc0lOjgQV23hIhwjXK07NNPLUXK2LEQgSdO6D9PZiSJaMIExbPJCzvWWBgxDKMbFkaM\nR7EnjswjGB99pIwSkSSioUOV1n6ZzZuRDmrb1tpr6PJlpL0iIuyPxrhxAym14sWRipO5dg11OK1a\n2XasfvgQ6ajAQKLfftN1S4gI1yjPihs4UKmhSknB/mrVsi46dxfLlnltxxoLI4ZhdMPCiPE4auIo\nIEARR198gU40eZSIJCmt/XPnKmvJHkWRkdYGjteuofsrc0QoM3fuoGg7LMwyPfbbb0hxTZhg+3NP\nnqAw3N+faN061++HOUuWoMD8tdewPhGiUmXKuKfoW419+1CUXrEi0cWLWXceN8PCiGEY3bAwYnIE\n9sRR7974/fPPiT7+WHHLliTL7jUivCaPCGnRQhETMjdvKhGh06fV9xMfjy6x/Pkta4smTIA42rbN\n9udSU4m6dlU66NzB5s2IRNWvr0RwMtdSZQXmHWteAgsjhmF0w8KIyTHI9S32xNGECURjxlhOqZfr\ncaZNQ43RokUwYgwMJGra1Hp+WmwsuruKFrVfq5OQABftoCCivXvxWkYGokIFCqhHUkwmDMeV66Lc\nwaFDiOBUrWq/iNzdyB1rXgILI4ZhdMPCiMlR2BJHZctaiqPPPlOm1H/zDcSRXKBdpw5ST5s2QczI\n89Myu0bHxcG7KCwM3V5qJCURNWmCCJRcO/TgAVJy1aurD5WVJKUuasIE93R5nT6NNGCpUvajXe7G\nHbPhsgkWRgzD6IaFEZPjsBc56tMHv48fj44t2fNIkohGjsTvVatCyPz+O0wLg4KIXn3VelhrfDy6\nyQoUIDp6VH0/5rVDGzfitRMnHNcRSRIsB4RAVMsd4uj6dUS7ChVyv9ljLoCFEcMwumFhxORI7Imj\nvn0VcTR+vOW0eLkGqXRpjLs4dQoCKSTE9nDZBw/Qih8aihEhaqSmwifJ15do9WrnrmX2bOypXz/3\ndJLdv496o8BAoi1b9K+Xi2BhxDCMBenp6TRy5Eh6/vnnKV++fFSiRAnq3bs33bp1S/UzLIyYHIu9\ntNqbbyriSC7clo0JP/kEvxctitTT9euYbxYaChGUkGB5nkePIDSCgoj271ffT3o6xpYYjegWc4al\nS5Hi69zZPf5AT54QtWuHNZ3dSy6GhRHDMBY8fPiQWrRoQWvXrqVz587R4cOHqVatWvTyyy/b/QwL\nIybHoiaO/P0VcTRunCKOPv8c4mjcOPweGorU0/37SJcVKIChsQ8eWJ4nKQm+PYGBtmeVyZhMGGQr\nBNH33zt3LRs2YN8tW1oXhLtCerqyl8mTYVvgDg8lL4aFEcMwDjly5AgZjUa6fv26zfdZGDE5Hi3i\n6NNPIYrkYmciRSwVKYKUGhHR338jxVajBmqMzHn8GLPKzAutbZGRQTR8ONb+9lvnrmXnThSE169v\nHblyBUlSCtFLlcL4Ey8zZXQnLIwYhnFITEwM+fj4UGJios33WRgxXoE9cdSvH34fOxZGkHKKjcha\nLBGhCy0sjOiFFzDOw5zkZBRaBwTAP0gNSVIMJ7/80rlrOXQIkasXX0R3nDuYORP+Sn5+8FF6SmFh\nxDCMXVJSUuill16iXr16qR7DwojxGrSIo08+gVCRU2ySpPwuiyUidJUVKUL0/PPW4iQlBU7Tfn5I\nf6khSYrw+uQT/H79OtGqVY6v5d9/UQNVqRI+4w5WrULNkRBPbd0RCyOGecpZvnw5BQUFUVBQEAUH\nB9OBAwf+77309HSKioqimjVrqkaLiFgYMV6GLXFUrpylOBozRmmTl4ewfv219VDWU6eIihVDDVJs\nrOV50tJQKK2lC+1//1Na8j/9FOJkzx7H13L+PNGzz+LfuXOu3A1rYmKwZx8fouPH3bOmF2EgIhIM\nwzy1PH78WNy5c+f/fi9ZsqQICAgQJpNJdO7cWVy5ckXs2rVLFChQQHWNR48eidDQUBEZGSl8fX0t\n3uvevbvo3r17lu2fYVzi88+FGD8ePxuNQkiSEGXLCnH9uhC9egmxcKEQH38sRGioEKNHC/HJJ0J8\n8YUQU6YIMXKkEGPGCDFxohAGgxBnzwrRuDGO3bVLiOLFlfOYTEL06SPEypVCLF0qRI8e6nuaPVuI\nYcOEGDRIiPPnhTh5Uoi//hIiPNz+tdy4IUTz5kI8eCBETIwQzz+v//7s2oU18+YV4sQJIUqX1r+m\nt+BpZcYwTM4jPT2d2rdvT9WqVaP4zMWlNuCIEeOVqKXV/PyI+vfH7x9/rEyoHzMGkaIpU/D76NFK\n5OjcOaKSJYkqVLAet2EywTfJYCBavNj+nhYuxHFduqAQumZN60G2toiLQ71RgQL2vZScYeFCpSvv\n33/ds6YXwMKIYRgL0tPTqV27dlSqVCk6fvw4xcbG/t+/NJWhkyyMGK9Fru/JnFYzF0ejRyupLlkM\nTZuG33v2VGagXbgAz6Ny5axrfjIyiAYOhOiZP9/+nqKjkcZq3lwxo9TieJ2QgE61fPmIduxw7X5k\n5r33cD2hocp15nJYGDEMY8GVK1fIaDRa/DMYDGQ0Gmmvyv9jZGHEeDW2xFHmyNGoUURTpyo/SxLR\njBn43d+f6J9/sNalS6j3KVOG6OpVy/NkZBC9/TY+M2uW/T2tX4/zv/gijp89W9u1PH5M1KoV9mSv\n6NsZHj7ErLeAAOwrl8PCiGEY3bAwYrweLZGjkSOVSNFHH0EcyZGkwEBEjIiIrlzBOJGICKLLly3P\nI0mIwgiBteyxdStRnjyIQvn4aJ9rlppK1KkTPrN0qdO3wiYpKSgkNxqJ5s1zz5o5FBZGDMPohoUR\nkyuwJ45kd+iPPoIhoxBEH34IofPNN0otjjw659o1RJ1KlSK6eNHyPJKElJwQRJMm2d/Trl1IjUVE\nEN2+rf1aTCalw05rtEnLmnLES3YHz4WwMGIYRjcsjJhcgxZx9OGHShrt/fctfY7CwpRRITduEJUv\nT/TMM2irN8d85Mjnn9vf08GDGGBbq5ZzjtTm0amvvnLuPthbUzbAfPtt9wy0zWGwMGIYRjcsjJhc\nhRZx9MEHcIoWgujddyEYxo/H7yVKKHPMbt2CAWOJEkRnzqczlIEAABrCSURBVFifa+JExXHbXgTm\n6FGMIXnhBeecriVJ6b6Ta6Pcwfz5uDedOiHNlotgYcQwjG5YGDG5DnviaOBAJVo0axZ+fucdyxRZ\nvXootiaC8WPlyjCClOetmSPbAch1S2ocPw6n7cqVlZSdVqZPxzneess9UZ60NKKff0ZBduPGKNDO\nJbAwYhhGNyyMmFyJmjjy9VXE0XvvoYZHCKIRIyBsJk5EW/7AgYo4unMHo0OKFCE6edL6XLJwkQWW\nGmfOwC+pfHnUMTnDokW4ju7dIWxcZc8eFJffuIEW/tBQRLKcqYHKwbAwYhhGNyyMmFyLPXE0aJCS\nSps7Fz8PGwZhs2QJxFH//oo4unuXqHp11CHZMkycMwdrDBmifMYWFy+iGPvZZ60Lux2xdi2iXm3b\nEj154txnZe7dgzhr1AjRp+PHiYoXh0WB3JnnxbAwYhhGNyyMmFyNFnH0zjtE33+vFCVLElrljUYY\nNMrpq/h4oho1iAoVUryPzPnhB2tBZYtr1+CyHRqK4mxn2LaNKG9eCJtHj5z7rMyePdjnxIn4/fJl\n7KdIEaK//nJtzRwCCyOGYXTDwojJ9dgTR2+9pYijefMsoz7Ll+P43r0VcXT/PkZ9FChgW0T89JP1\nZ2xx4gS8ivz8UJztDPv3o9Pt5ZcRAXKFsWNxflmYxcURvfIKUVCQ+5y3PQALI4ZhdMPCiHkqsCWO\nype3FEcjRhAtWIBoyuDBEEcrVkBAvPGGInQePED7ff78RH/+aX0u+TPdutmvB9q8GecNCLC9jj3+\n/htpvapVnS/mJiJKTyeqUwcpPdmiIDGRqGVLOG+vWuX8mjkAFkYMw+iGhRHz1CB7+NgTR8OHKymx\nQYMgjlatgtBp1w6CggidXHXrInJja/Dr2rVYt2NHuFmrIXfG5clDdOCAc9dz+jTqhcqUwTgTZ7l8\nGem8zp2VovHUVMyQMxgcjz7JgbAwYhhGNyyMmKcKLeJo2DB0gZl3p/XsifciIxVx9OgRBr8GB9uu\nFdq4EdGXqCj7fkGyI3WePEQ7dzp3PZcvIy1YsqRtOwFHrF6Nc+/fr7yWkaGYSzryaMphsDBiGEY3\nLIyYpw41ceTjo4ijt98m+vFHiKMBA1BbFBGB99q0UVJkiYlEDRuiNmffPutzbd2KVFmrVuqdZOnp\nRM2aQZwFBBBt2eLc9dy+jZRaoULO1ysR2f6M+biUQYOcX9NDsDBiGEY3sjCKjIykqKgoio6O9vSW\nGCbrsSeOBg/G70OHEi1eDHHUrx9qeYoVsxZHSUmYYB8YSLR7t/W5YmLQSdasmeKqnZkHDxD5CQlB\nQfb69c5dT3w86p5CQmwLNFf58UfcEy+BhRHDMLrhiBHz1CKP9FATRwYDOtSWLMH7b76JuWkFCuC9\ntm2V+qHHj4maN4cAstXVtWcPBso2bIgoky3OnMFxXbtiD87+R8qjRxBoefI4H3Wyx6ZN7lsri2Fh\nxDCMblgYMU81WsTR4MFKG37fvvAwypfPWhw9eYKUWZ48RNu3W5/rwAHUI9WrZ38Mh8mE8xgMRAsX\nOnc9ycmoafLzQ/3QU4ZRMAzDMAzjOp98IsTEifhZkoQwGoU4f16IMmWEWLBAiMGDhZg3T4iDB4VY\nskSIn34S4ttvhdi2TQh/fyG2bBGiUychUlOFyJtXiJ9/FqJpUyHatRNi61bLc9WrJ0RMjBAnTwrR\nvLkQCQm29+TjI8TChTh3//5CzJql/Xry5BFi3TohunQRols3rPMU4evpDTAMwzCM1/PJJ/jfsWMt\nxVH58kLMnw+B8v33iCstXSpEr174ecMGIc6eFWLUKCE6doQgMRcm7dvj57ZtlXPVqiXErl0QRk2b\nCvHbb0IUKmS9J6NRiNmzhQgMFGL4cCFSUoT48ENt1+PnBwEXHCzEgAFCPHokxHvv6b9P3oCnQ1YM\nw3g/nEpjmP+PvbTa0KFK+350NF7r2RNpr+3bkT5r3RqpLCKk1zp0QEprwwbrcx07BoPGatXgOq2G\nJKFlXgiiCROca52XJKJRo/DZ8eOd++ytW15p8sjCiGEY3bAwYhgzbImjChUghIYMUdr3ZXfrHj3Q\nbh8TA3HUqpUijtLSYJ7o60u0bp31uU6eJCpalKhyZcfT7b/8EnsZNcp5X6Gvv1bGntib4WbOhAnY\n96FDzp3Lw7AwYhhGNyyMGCYT9sSRHDkaMIBo5Uq81r07xNHOnehKa9FC8SxKT8doEB8f28XQZ84Q\nlSiB9W/csL2fEyfgrzR1quLOrVXgyMyZg32/+aZiUGmPtDS0/5cuTZSQ4Ny5PAgXXzMMwzCMu7FV\nkH3unBBly6LWaMgQFDXHxAixYoUQa9ag7qhBAxRjHziA4usnT4Tw9UVdUvfu+LdiheW5KlYUYu9e\nIZKThWjYUIhr16z3c+MGCsFv3EAh+KxZQrz1lhAZGdqvacgQ1B399BOKslNT7R/v5ydEdLQQ9+6h\nxspb8LQyYxjG++GIEcOooBY5MhoROTIaYfy4Zg3STl26IBojexY1aaIYOppMRH364DNLl1qf6/Jl\nOGtHRNieezZzJs7//feKr1LPntqiP+Zs2IAxJS1bqptNmrNyJc7rJXjPThmGybGwMGIYO8i1PfbE\n0ZtvKkNjO3fGzLLixZFWa9QIzthESH/174+U1uLF1ue6do2obFmi8HAYSWbm7beRkouJQVpOy5Ba\nW+zYAeFWv762NNnQoc6t70EMRESejloxDOPdPHr0SISGhoqHDx+KkJAQT2+HYXIeX32ltPQbjUiv\nVaggxIULSFHNnStE795In3XtKkSbNvAo+vNPfKZmTSE2bxYiKAifHTIEqbEFC+BTZM7Nm2jjT0wU\nYudOISpVUt4zmdD6f+gQ/p07J0Tnzmj9X7sWVgFaOXRIiMhI+DVt2yZE4cLqx6amChEQoH1tD8I1\nRgzDMAyT1YwZI8SXX+Jn85qjcuUgigYPRu3OL78IsXo1RFBIiBDPPQcTyL/+EqJ1a4gdoxGfGTIE\nHkPz5lmeq2RJIfbsESJ/fiEaNRLiv/+U93x9hVi1Cse0bStE3bpCbNoEX6SoKCEeP9Z+TbVro7bp\n5k3URt24oX6sl4giIVgYMQzDMEz2YE8cyQXZS5fC+Xr1arheFyuGf0FBQhw7hgiNLI5mzRJixAiI\nqtmzLc9VrBjEUdGiEEf//qu8FxoqxK+/wrRx2jQhWrTAuQ4dEqJVK7yulWrVhNi/H0Xi9esjAubl\ncCqNYRjdcCqNYZxAS1qtZ084YXfpIkTjxkKcOoUxH/fvC1GlClJXISGoXPrgA4wYmT5diHfesTxX\nfDyEz+XL6IB76SXlvfPnhShdGlEkIRRhVKEC1i9YUPs1Xb8uRLNmEFUxMUJUrarvHnkQjhgxDMMw\nTHaSOXJkMFin1ZYvxyiQNWuE2L0bYiUpCSmw06eFaNlSiIcP8dmpU4X46CMh3n0XESBzChVCnVGF\nCqg7OnxYea98eUUUCYHU2K5dQly6JESTJkLcvav9msLDETkqVgyWAXJtlBfCwohhGIZhshtzcURk\nKY7ktFp0NITR2rUQHZUrC1GjBuqPzp5FJCghAZ/95hshPv4Y0aPJky3PlT8/5qlVrYoi64MH1fdV\nowZScLGxEDi3b2u/piJFIOIqVYII273b6duSE2BhxDCM2+jWrZto166dWJHZgI5hGGvsiSO5uHrF\nChRLr1+PaM/Dh0iH7diBVFjz5kI8eIDPfvmlEJ9+ioG0X31lea6QEKTHatRAtGnvXvV9Va0qxL59\nqGVq0MC2YaQasgirUwf1UJs2OX9fPI1n3QIYhskNsI8Rw+jA3OfIYFB8jgwGomHDlHlqmzcTBQQQ\ntWlDlJJC9M8/RAULEr30ElF8vLLehAnKwNjMPH5M1KwZ/JFiYuzv69IljPMoVYrowgXnriklBQNw\nfX0xMNeL4IgRwzAMw3gStchR+fLoNhsyBFGjZcvQsbZzpxCvv46U1a5dQly5gsLn+/exxrhxGEcy\nfjx+Nu+xCgwUYuNGpMnatkUUKTNEQqSloTB73z54G736KmqbtBIQgM66Hj1QSD5/vsu3J9vxtDJj\nGMb74YgRw7gBLZGjbt2Itm4lypOHqFUrouRkouPHicLCiF54gejePWW9SZOwxpgxRJJkea6UFKKo\nKIz22LjR8r0PPiB67TVlyGxsLFHVqkSFCxMdO+bcNWVkYGCtF8kNjhgxDMMwTE5ALXJUoYISOVq7\nVoglS4TYsAFF0u3bI7K0ezeMFps0wdBWIVBrNGUK6o1Gj7aMHAUEYK2oKESf1q1T3mvcGLVBo0fj\n96JFsX54ON47ckT7NRmNQsyYIcTYsbpuTXbCPkYMw+iGfYwYxo2Y+xwZDBA0FSqg2Prtt9G11rGj\nEP36QRi9+iqKqvPmFWLOHHSH7dypjOiYMQOt/O+/D6FkMCjnMpmE6NUL3W/LlgnRrRtenz5diPfe\nQwps4EC8lpAA9+2TJ4XYsgWGjrkRT4esGIbxfjiVxjBu5quvrNNqFSvi5+HDUdTcpQvRb7+hkPqZ\nZ3DM1KlExYoRValCdOeOst6sWXh/xAjrtJrJRNSrF4bZ/vQTXpMkoiFDkL7bvl05NjERQ20DA4l2\n7sz6++ABWBgxDKMbFkYMkwXYE0fDhkEcde6M7rLAQAgiX1+i+fOJihcnqlwZ9UEyc+dijaFDlfoh\nGZOJqH9/rL1wIV5LTydq3ZooOBh1TDKPHxO1bIkOuc2bs/4+ZDMsjBiG0Q0LI4bJIrSIo06diHbs\ngDgKC0Nh9vLlRCVKEFWqRHTrlrLeggX47FtvWYujjAyiwYNxjrlz8dqjRyjqDg8nunlTOTYlBQXa\nfn5E69dn/X3IRrj4mmEYhmFyKh9/rJg1ygXZZ89aFmT/8gsMITdtEiI5Ge318mDZxEQUTN+6hTUG\nDBBi4ULUDg0ahJEkMkYjapRGjMC6330nRHAwBs6GhmLemkxAAOqSOnQQonNnGFHmEnwdH8IwDMMw\njMf4+GP875gx1t1qs2YJMWwYCrKFgDiKioLIGTAAM9cGDBCiUSN0lpUsKcSbb2JGWt++QmRkCPHD\nDxhQKwTWnj5dCH9/DKRNT8eYkWPHlGNk/PwwtqR/f3gVJSejINzLYWHEMAzDMDkdreKICBGetm2F\nSE0V4vFjjP9o3FgRR888g040Hx/8r8kkxOLFluJo8mREhT78EOuMGWN7Xz4+QixahI64/v0hjt5+\nOzvuSJbBwohhGIZhvAE1cVSxom1xFBWFVv3Nm+F5ZC6OwsPhSu3jg2hPRoYQP/2ESJIQWHviRESO\nPvkETtjjx1u2+svIKbg8ebCH5GQIKi+FhRHDMAzDeAu2xNHZsxBHM2cKMXy4EPPmWYqj1q3hOySL\no4YNIY6efVaIrl0hhrp1Q+Ro+XKkyGTGjcPvY8YgrTZxom1xZDAIMW0aRo589JEQT55goK2tY3M4\nXHzNMAzDMN5E5oJsISCOKlWCOBo8GELo228hjo4dw6T7QoUgjoRA5OjKFfzcsSMKqTdsgEBKS7M+\n39SpOOdHH1k6aJtjMMC5W57TJos3L4OFEcMwDMN4G2riqGJFdJMNHizE1q2I4mzeLMTx4xBHBQui\n5shohDiSO83at8dYkF9/FaJLF2tx9P77EF1Tp6IoWz7n+fOW3WpCIPU2daoQkybBcdvLxBELI4Zh\nGIbxRmyJo3PnEDn67jsh3noL4mjKFIijEyeEaNUKrfd79yJF1qiREJcu4bNRUUL8/LMQ27YhipSa\nank+uYZp5kwhhg5FXVKvXkjVPXhgeez776PuSN6HuS1ADodrjBiGcRvdunX7f+3dbUyV9R/H8Q9G\noSnYbGXGXA4NIkvKREvLpohaDnxglmymJd2spT4LdN0sc83sSavwga2bZTfWWpZzpEYgpWhapiZT\nZm1lJokeTMUbiJT/gw/nTwdIQMjDgffrSR44l9fv8kH77Pv7fn+XoqOjlZWVpaysrHAvB+j6WtNz\n9MYb/l1+vqfVxo93r1FRkZSW5p6j4mJp8GCHnNWrpalTfUbRqlVuqg56/HE3ZGdnu6r0zjt+Z9q0\naQ5Ul13W8N0nnnDP0Zw5UnW1m7sjAC+RBdBuvEQWCLMlSxpG6oMNz4mJDknBcJSeLi1YIE2c6Obo\n7Gxp0SKHo5Mn3ZB9/fW+9quvXEEaO9a9R716hd7v/fel2bM92TZnjitRM2Z47L9xw/XHH3vy7e+/\n/9N/go5CxQgAgEi3cKEDycKFoaP8wYbs+fM9rSZJBQUOSW+95ZOtN2xwFSk4yp+YKE2Y4ApTRoaU\nmekq0uWXN9xv5kxvxQUDz5tvSrNmuer03HOha3vggdCqUydHxQhAu1ExAjqJl15q2F77t8rRhAlu\nkE5L85lDzz7rnqG0NPcKFRU5UEnuRZoyRRo50qdq9+4der9Vq1wpysiQUlI8jbZihXuPIhTBCEC7\nEYyATqS5cJSUJJWVhYajZ55xr1F1tbR0qbfG0tKkykqHo+RkX7txo3uPhg93FalPn9D7rVkj3Xef\nNGmSjwT44ANp82ZpxIiL98wdiKk0AAC6kgUL3HMkNX/O0WOPSYWF0uLFDkA9e0q5uR7XLyqSrrrK\ngWnPHl97113S+vXSjh3uJaqqCr1fRoa32goKpD/+kF54QRo27OI9bwcjGAEA0NW0FI4efdQhaPFi\n9xXFxEg5OT7fqLBQ6t/fPUelpb529GgHn927XRk6fjz0fpMn+wykb77x9RHSaN0cghEAAF1Rc+Go\nrCy0crRhgyfTiosdjiZN8vvTCgul+HhXjnbv9rWjRnlabe9eT7YdOxZ6v7Q0n5u0ZYv7kk6evGiP\n2pEIRgAAdFWNw1FUVEM4eu01V46Kix2O1q2TfvvN/Uc9ejgEDRzocLRrl/+O1FSHpp9+8veOHg29\n3913e9tt+3ZXkU6cuKiP2xEIRgAAdGXNhaPG22pff+3ptLVrpQMHXP2RHI6uu87j/Dt3+mfDh3sb\n7tdfHY4qK0PvN2aMrystbb6y1MkRjAAA6Opa6jl65BH3Bz39tMPRwYMOR+fOOeQkJDgc/fCDr73l\nFm/D/f67f37kSOj9Ro50ePq3ylInRjACAKA7aE042rjRJ2h/8YVUXu5wdPasG6+HDPHn7dt97c03\nOxwdOuRwdPhw6P2ClaX9+/37CEEwAgCgu2jNtNqmTQ5Ha9c69Awf7nBTUODzkCZMkL77ztcOHeoe\npUDAvUiHDoXeLyXFv2/8806MYAQAQHdyvnAUbMguKfH3Pv3U22qjRnnb7MsvffBjerq0dauvTU52\n+Dl2zCP+5eWh9xs61D1MEYJgBABAd/Nv4Sg52eEoO9unVz//vMNRba1Psq6o8PTa0KFurP72W1+b\nlOTwc+qUw9HBg6H3S0q6WE/WbgQjAAC6owUL/PoQqflzjrKzfSbR669LK1dKNTXeGgsEHI6GDXM4\n2rzZ1w4Z4nBUU+Ox/QMHwvNc7UQwAgCgu8rNbRqOgpWjYDjaulVavtwvh62udtN1ZaV7kG691YdC\nlpT42oQEh6OzZx2O9u8Pz3O1A8EIQIeZMWOGMjMztXLlynAvBUBrNReOysqahqO33/YLaE+fdjj6\n809Pr40Y4XC0caOvHTTIPUdRUQ5Hv/wSjqe6YFF1dcF/BQC4MCdOnFDfvn11/PhxxcXFhXs5AC7E\n0qXeXpMcaiRvq+3dK82b52CUmipNm+bPAwc6MMXFSZmZ/nN+vsOQ5K208eO9tbZhgzR4cHieq42o\nGAEAgJYrR3PmSN9/72bsdet8+OO4cX7tx5o10u23S/fe62qR5OBUXCz16tUQliIAwQgAAFhL4ejh\nhx2OlizxNlpwCu3YMYejMWMcjoqKfG18vMNRbGw4nuaCEIwAAECD1oSj7dul+fMdjs6ccTg6elRa\nvVoaO1aaMsWvEpGkAQMaqkgRgGAEAABCtTStFgxHc+e6r6i62uGoslL6/HP/OSPDB0JKUv/+4XiK\nC0IwAgAATTUOR3V1oeHooYekHTukJ590OPrrLweiQED67DM3XmdmSuvXh/Mp2oxgBAAAmne+cJSX\nJ82eLe3c2RCOams9uXbkiLRqlV8dMnWqzzyKEIzrA2g3xvWBLu6fo/yS1KOHX/Oxd6+3095916di\np6ZKr7wiXX21XzTbv790//2eYqupCd/624CKEQAAOL9/Vo4kj+o3rhz9+KO0bZt7iw4flkaOlA4d\nkj75xJNqEYKKEYB2o2IEdBPnqxzNm+fK0U03+eyiwkLpmmv8otlrr5UuvTR8624DKkYAmli0aJGS\nk5PVp08f9evXT+np6dq2bVu4lwUg3HJzHY6CgpWjG290Q/asWVJpqV8bcuedUkWFdMcd0sGD4Vtz\nGxGMADSRlJSkZcuWqbS0VCUlJRo0aJAmTpyoysrKcC8NQLjl5DQNR8FzjvLyHI727HEj9m23eTtt\n9OjwrbeN2EoD0KKqqir17dtXhYWFGjduXJPfs5UGdEMvv+wKUlDjhuz33vPnM2ekfft81lEEoGIE\n4Lxqa2u1fPlyXXHFFUpJSQn3cgB0Fs1VjoLbanl50syZ/hwTIxUUhG+dbUQwAtCs/Px8xcbGqmfP\nnnr11VdVUFCgfv36hXtZADqT822rLVsmPfig9PPP0lNPhW+NbUQwArq5Dz/8ULGxsYqNjVVcXJxK\nSkokSePHj9euXbu0ZcsWTZ48WdOnT1cgEAjzagF0Oq2tHEUIeoyAbu7UqVOqqKj4/+f4+HjFxMQ0\n+V5iYqKys7OV+8+egnrBHqN77rlH0dHRIb/LyspSVlZWxy8cQOfSXM/RDTe4EXvuXE+tRYDolr8C\noCvr3bu3EhISWvzeuXPnVNPCybUfffQRzddAd5WT4/8Gw1HjyhHBCEAkOn36tF588UVlZmZqwIAB\nCgQCysvLU3l5uaZPnx7u5QHozBqHo7NnG07IjhAEIwAhLrnkEpWVlWnFihUKBAK68sorlZqaqk2b\nNik5gv7nBiBMmgtH+/aFbz1tRI8RgHbjHCMATTTuOYqQuMFUGgAA6HiNp9UiBMEIAAD8NyIwHNFj\nBAAA/js5OVJUVLhX0Wr0GAFoN3qMAHQVbKUBAADUIxgBAADUYysNQLvV1dWpqqpKsbGxioqgXgIA\naIxgBAAAUI+tNAAAgHoEIwAAgHoEIwAAgHoEIwAAgHoEIwAAgHoEIwAAgHoEIwAAgHr/A6pKqUvN\nrZg1AAAAAElFTkSuQmCC\n",
"text/plain": [
"Graphics object consisting of 36 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"graph += text(r'$\\tilde{t}=0$', (2.65, 0.25), fontsize=16, color='red', rotation=-24)\n",
"graph += text(r'$\\tilde{t}=2m$', (2.8, 1.6), fontsize=16, color='red')\n",
"graph += text(r'$\\tilde{t}=-2m$', (2.68, -0.9), fontsize=16, color='red', rotation=-35)\n",
"show(graph, xmin=-3, xmax=3, ymin=-3, ymax=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Adding the Schwarzschild horizon to the plot:"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"hor = line([(0,0), (4,4)], color='black', thickness=2) \\\n",
" + text(r'$\\mathscr{H}$', (3, 2.7), fontsize=20, color='black')\n",
"graph += hor"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Adding the curvature singularity $r=0$ to the plot:"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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w+/13IJe+iWUBwwojIHdxlJLCAsnKCkhIQGT37rgUFISewcEw02j4mIYN2WxXv75BpywI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79jx79qBeqFIlbGfiqwMHMJ3XqZNZNJ6aij3kQkKuvfVJDsRgRESWMRhRnuJNOBo6FKvAMq9O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\n",
"text/plain": [
"Graphics object consisting of 40 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sing = X_SD_II.plot(X_KS, fixed_coords={r:0, th:pi/2, ph:pi}, ambient_coords=(X,T), \n",
" color='brown', thickness=4, style='--', parameters={m:1}) \\\n",
" + text(r'$r=0$', (2.5, 3), rotation=45, fontsize=16, color='brown')\n",
"graph += sing\n",
"show(graph, xmin=-3, xmax=3, ymin=-3, ymax=3)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"graph.save(\"sch_IEF_KS.pdf\", xmin=-3, xmax=3, ymin=-3, ymax=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot of Schwarzschild-Droste grid on $M_{\\rm I}$ in terms of KS coordinates"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"graph = X_SD_I.plot(X_KS, ambient_coords=(X,T), fixed_coords={th:pi/2,ph:pi}, \n",
" ranges={t:(-10,10), r:(2.001,5)}, steps={t:1, r:0.5}, \n",
" style={t:'--', r:'-'}, color='blue', parameters={m:1})"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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WBk9PT4SGhsLDw8Pew1FKJcI0FL3zjh+WLPFF3brAn38CL70ErFwJ9OsHrF7NU2gdO/K9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\nRfkPFUaKoiiKoij/ocJIURRFURTlP/4PuxPAftksmZoAAAAASUVORK5CYII=\n",
"text/plain": [
"Graphics object consisting of 30 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hor2 = line([(0,0), (4,4)], color='black', thickness=2) \\\n",
" + text(r'$\\mathscr{H}$', (2.95, 3.2), fontsize=20, color='black')\n",
"region_labels = text(r'$\\mathscr{M}_{\\rm I}$', (2.4, 0.4), fontsize=20, color='blue') \n",
"graph2 = graph + hor2 + region_labels\n",
"show(graph2, xmin=-3, xmax=3, ymin=-3, ymax=3)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"graph2.save(\"sch_SD_I_KS.pdf\", xmin=-3, xmax=3, ymin=-3, ymax=3)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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oatdOEUVGRhxg/fQpW5ty5VLEy99/szvNxIRdaE+f6s9l8+bNCVah9u0nUY4c\nRBUqHKdixUqQWq2mpk2bJuwbH0/UujWPn13IlsKIiOj+fRZGBQuyT7VkSaI7d7ggpLU10T//8H5a\nLdGwQdE0pmDPJIPWNpQrR4+PHzfkUgQh2yPCSBA+Hk0y7qbr11moqFREuqS227c5O8zIiK0833+v\nL4pat9YXRV995UMqFQdYq9VEHTtyeErp0uyC+/dfHvfSJSJLSx63QgVuNvsuYWFh5OLiQmq1mtRq\nYwL6kbV1STI3NyeVSkX29vb09K2S0mqJhg7l42Xheo6JyJIFHlNCoULcu0Wj4UZ5wcFA69bA9u3c\nZ61hQ8Dfn8uT+06JQV6nmCTH0URH49jgwQjYuzdzFyAIgiAIb4l89gz727VD4P79ettv3ADKlgVi\nYoAtW7hp682bgJcXEBXF7Tj27uWGrnXq8HWxZUtfbNumFG9s08YHW7d6JzzfpQu376hXD3j5kvud\neXlxC5CaNYGICKBqVW4FYmenzCU6OhpDhw7F06dPQQRotbXRpEl9bNw4C9HR0VCpVJg5cyZy584N\ngAtLzp7NDeFbJN/FK+thaGX2sdy+rWSqOTgQlSnDxa10gWi6MKLQlxE03q1vsumOfh4e9FAXcSYI\nQqoQi5EgpJ2wgADaXr8++bm70zpPT9o79wQRcfysqam+xeXqVU6tB4hWrSKaOJH/rl2bf7dooW8p\natXKhwC2FAFEvXuzC87Vlb0ut2/zuAEBRPb2vE/DhlzIUUdISAiNGzeOnJycSKVSEaAiwJN8fDQU\nFxdP7u7upFKpqEGDBgmv2bqVLVw//JBZ72L6kW0tRjqKFmVVGxUF2NgADx4A7dpxSXRnZ1bEd+8C\n1vbmGHl2HvzjGiY5jr2nJ3JXrpzJsxcEQRA+Z0Ju3MChbt0Q8eQJAIDi4/Fs/rcI+OsiKlfm5q/b\ntrHFxd+fm6pHRQHLlwOPH3On+1q1uOVHs2a+2LlTsRS1bOmD7du9UbcuXye/+YZbatWuzc8fP87X\nUI2Gm86+egW0bMnNYc3MAI1Gg5kzZ6JmzZrInTs3bG1zgXuzqzF27EJ4e6uxZs1qXL9+HSYmJpg3\nbx4A4OxZtkq1bQv4+GTq25kuZHthBADFivE/PTyczX537wKdO/OHydISqFuXBZOVbQ6M/Wc6zsR8\npff6R7FuqDR9PozNzQ20AkEQBOFz48WFCzjcsyeiX73S254DUTg6YCCcVbewdSuLovPnld5nixdz\n+MiYMew0KZFSAAAgAElEQVT6OnYMaNLEF7t3K6KoeXMf7NjB7rMjR4DBg4GhQ1kUmZuzKCpYkPed\nNw949Ajo1InddSYmwP3791GjRg28evUKZ8+eRWhoHG7dugVAhebNB2Ly5KoAAB8fH6hUKvTv3x9u\nbm549gxo3hwoUwZYtQpQZ0eVYWiTVXqiS9svVowDsKtX52w1V1fOYpswgYPBgoO11Nd1Ovm5u9Mi\nry9p0Yznhp66IGRrxJUmCKnj8fHjtKFcuWTDO6YVaUn7Nj0jIu7i4OLCbq5584hmzeK/a9Tg340b\n67vPmjb10QvEHj6cU/kdHTnYOiiI56DVclstgIO3dXUnL1++TKVKlaK///6biIhOnw4gtdqKADWV\nK1c7oSbRmTNnEgo5vhtw/euvRLdvh1B8fHzCerdsyaQ3Nh34pIQRERd8dHBgcWRpyQWrrl4lsrPj\nf37fvvyPe/6c6KuCa8nR5AH172/oWQtC9kaEkSCknDcPHtD69zSDnVC4E21ZG0JEfL3SZZz99hvR\n/Pn89xdf8O8vv9QXRU2a6IuiUaOIzpzhdPly5bi6tW7ckSN5nylTFFEUFRVFnp6edOXKFSIiunZN\nS6amtQhQUf78rvRSNwARTZ06lVQqFXXv3l1vfc+fP6cvv/ySHj9+TFotkY8PHye7kI2mmnIuXeIg\nshIluIpnvXpE/v5sRQKIunbl2goPH7KIKlhQUdCCIKQeEUaCkDquLF6cpCjyLtCXVi4OT9hv3DhF\nFC1Zwn9Xq8a/GzTQF0WNGrEoqlWLn//pJ6ITJ/jaV7UqUQhrLYqPV6pjz56tP6+1a9fS4MGDiYjo\n9GminDm/I0BFBQsWoYD/dIwYOHAgqdVq2rRpU8K2gIAAqlu3Lt26dYtiYoh69eLjjB2bIW9jhpAd\nvX8fxNMTOHwYeP4cyJ8f+Ptv4PvvOTjNygpYuxbo2BHInRs4fZqD2778EggJSXq8e9u2JfIBC4Ig\nCEJaKdCxL/6K66637WxYA+QdMQ89+lkA4JT6SZM4gNnWFvj6a06jP3UKqFfPF4cOKTFFDRv6YP9+\nb9SqxTFHkyZx+n6jRhzvc+AAjxEXx4HRy5YBK1cCQ4boz+vevXtwdXXFnj1afPHFT4iOnoFaterh\nn39Oo6AuKOktbm5ueo83b96Mvn37YsWKFbCzc0PDhoCfH7BmDTB5cvq9dxmOoZVZRnL+PJGtLRd/\nzJmTqGlTrg5qYaFLaySKieGKonZ2rKjfvNEf4/r6jeTn7k47Gzem8MePDbMQQcjiiMVIEFLHt98S\nWVtpaFZ9b/Jzd6e+eX6iKZOUmJxff+Xr1Lhx3BhdrSaqXFlXxFHfUlS/vo9ezJGPD9G+fXzda9iQ\nKCKCx4yIIGrQgCtaJxfz4+/vTw4OBQkoTLa2FWnFCr9k1xAdHU3du3cnZ2dnqlq1Kk2dOpWio6Pp\n5k1u+m5vzxar7MYnLYyIuMS5jQ2Ruzs3y2vZkujkSa4DoVIp9RrOniWysmK3W1QUv3bNjwdoTclS\nCSbOrXXqUIiu6IMgCAnohFHjxo2pefPmtG7dOkNPSRCyNKGhRIMGERkhlmrYbKPvv9MmxPksXKgE\nRP/+O4uiSpV09Yr0RVHduj56MUczZhBt387ip3lz5Xr2+jU3YFep3l+F+uefiQAt9eoVQ2np+3r0\nKMczlSjB3SiyI5+8MCLiwDNra+75YmLC/WGOHuXCWTY2RE+e8H5//skKu1Urokd//U1rPLwS+X83\nValCL3S10wVBICKxGAlCang38Fml4ngfrZZowQIWSyoV0ZAhbNXRteYAiGrW1BdFbDlSYo7mzCHa\nsIHI2JivczExfLyXL7kQMkA0bFjSc9JoiEaMUOKBdCItOa5cIerZU78Q5PLlfOx69ZR4puzIZyGM\niLgpnpUVUalS/I/r1InowAEWRy1bEsXG8n67dxOZGGtofoV2yWYMbChfnh5nR/ugIGQQIowEQZ/o\nkBA6N2UKxb2rHIgDn/v2ZQFiZETUuTNvmzFDEUp9+7JVx8SEqHx5XRaaviiqVYtFUdWq/PzChUQr\nV7J1qWtXSrD2PHnC/UQBogEDkp5rTAxRly587LlzP7y2p0+5anbp0mz50mg4+w0g+vpr5XqaXfls\nhBERN9qzsGBxZGRE1L070a5d/OHr0IE/nESsuG2MX9K0Yl8lK47We3pSwN69hl2QIGQRRBgJgkJE\nUBDtbtGC/Nzd6WDv/hQVzkohJoaofXsWLzlysKsrJkapJaRWs0DZvZufL1tWl4WmL4rYckRUpQqL\nmWXLFPdbv34sVIi4PZajI2/v2TNpK9CbNxxSkiMH0caNH15beDhbsFxciB484LilNm14HjNmfNjS\nlB34JLPSkqN6dWDfPuDePaBkSc5O274dWL8e2LwZ6N0b0GqBDh2AX+bbY8KdlbgTVzHJsbQaDYhr\nowuCIAgCACAsMBCHunZF6J07AIAXp49jYbOxiIzQolUrYOtWbnxevTrw++/AuHH8Y2QEtGkDdOvG\njWJLlgQuXgSqVPHFqVNK9ln16j44ftwblSpx641Vq4CwMKB/f84wW7SIq01fvw5UrAi8eAG0b88t\nRFQq/bm+eMGdIf7+m6+N7dq9f20aDXeVuH6d24YYG3M7kgMH+Fo6YkTiY2RHjA09gcymRg1gzx6g\nSRPAw4M/LCYmnE7YtSv3h1mwAOjXDwgLs8To7xfhe7fv4WH8h944jl1/RKEmTQy0CkEQBCGrEXz9\nOo5+/TVigoP1tjs9340rv9rAxHg0LCxUKF6cW1aNGgXMmcPXoEaNuJdZixbc5srfH6hc2RenTyui\nqFo1H5w86Y0KFbhFyNq1QEAAtwb54QdO71epgAsXuE9oaCjQrBmwbl1iwXL/PpepCQvj9P6yZT+8\nvhEjWBDt2sXiq1IlgAg4cSJlr88ufFYWIx21a/M/9/ZtoFQpYOFCVsxLl7LaHj6c/9kDBwLeY03h\ne2smLqF1wuv/1A5CuX6dDLcAQRAEIUvx7MwZHO7RI5Eo0vHwj6O4fjEUBQoAe/cCI0eyKDI15WvS\nsGFAq1aAqytw5QpQoYIvzpxRRFGVKj44dcob5coB//7Lno7r11kUTZigiKK//uL6RUWLcv2+LVvY\nGvUuly4B1aqxh+TkyZSJmlmzgNmzgblz2XJUvTrg5MRWq09JFAGfocVIR926wM6d3OyudGn+gI4Y\nwc30Bg3ihnpnz7KJMCzMGL/MnozhnrZ49SwWNSYPgL29oVcgCIIgZAWenDiB40OGQBsXl+Tz5oWK\nYsKNxaCctjh4ELC3Z0FkZsburjFj2FJUoACLnXLlfHHunCKKKlf2wZkz3ihbFrh8Gdi0iQXN9OnA\ntGlsLQL4etW6NVC5Ml/frKwSz+XYMT5W0aIs0JydP7y+8HDgl19YzMXEAC1b8s/atYCFRVresazN\nZ2kx0tGgAbBjB3DrFoujmTOBhw+BGTNYZUdHs/+0Z0+gZ08VZl35DkGeo3HosAoSXiQIgiAAgK2b\nG3Imc7ds61EGUwJW4VWsMw4f5o4L/v5s8fHy4grVLVsCLi7AzZtAmTK+OH9eEUUVK/rg7FlveHoC\nV6/ytenQIRZFs2cromjLFr7Rr1ePBU9SomjrVnafVarEnSBSIooAwNKSvSrh4exR0VmiPkVRBODT\nrnydUvbs4Yj80qWVSqP/+x//nTcvF6s6dYrrQuTIQbR///vHi3z+nKJevcqcyQtCFkCy0oTPnYB/\n7tLC4tX0spcP9v6aqpSPIEdHohs3eL9r1zhTrFw5omPHuDuDmxtnSpcpo599Vr68D6lUfG3KmZOv\nVb17cwbY4sXKsVes4Iy2jh2TT5VfsIBf17GjUt8opYSEcMVsY2Pu1/apI8LoLbq0fZ04mjyZi1wB\nRIUKcQ2kP/4g+vJLTvk/dSrpcWJCQ2lPq1a0q2lTaSEifDaIMBI+Z7RaFg4lrC/RWs/y5OfuTseG\nf0d1asaQjQ3RxYu83+3bXFOoVCmi48e5ZUaRIiw4vLz0RVHZsj6kVnNhYnNzooMHueaRWk20Zo1y\n7FmzlPpB8fFJz238eKW4oy6VP6XcvctttWxt+Rr4OSDC6B22b+cPqE4c+foq1UmLF+c2Ijt3cul1\nW1ui/xbAfhMcRbMqdpcWIsJnhwgj4XNn9Wr2NJSz/YtWdptGTRpryNycW1AREQUEcFHEYsXYUuTo\nSFS4sO6aoy+KypTxISMjFiQWFkSHD3OtIGNjpdaQVqvUP/ruu6TrB8XHs2DSXc9SW2Por7+IHBxY\nvOksXp8DIoz+g64Ee6lSSt+ZgQPZBOnlxa60f/9lM6iTE9HNm/w6TVwcbfhqcJItRJ5fuGDYRQlC\nBiPCSPjc0VWdbttWCbvYtIlbZjx6xOKicGFuPeXsTFSwIHspSpXSF0WeniyKihdXPBVNm/J4O3fy\nsbRaFkMAj/Prr4nnExVF1Lo1X89WrEj9etau5WPWrMktRT4nPuvg66Ro04aD4q5d4zpHI0cCJUoA\nvXpxNsCQIRwwt38/ZxbUrw88eABcnjcPmutHEo0XGxaGI3374vGxYwZYjSAIgpAeRAcHI+j06SSf\n++03TtLp3RuwseEaRfPmAT/9xNvr1wdiY7luXufOnJH29Cng5uaLK1eUQOvSpX1w7Zo3ihQBgoI4\ns8zHBzhyhGsHNW/OqfL9+3PwdcmSwMuXQJUq+vN5/Rpo2JCvUzt28BxSSkgIp/937Qp06oSELLrP\nCkMrs6zKhg1sJfLwYFW+YAH7d42NFdX+6BHfAbi5EQVee0HLqrVJtoXIutKl6e727YZdlCBkEGIx\nEj5lwh8/pp1NmtD6MmUo6Oy5hO1aLdFPP/E14ocfiIYP57+nT+drg4sLW37y5GHLT/78nNBjakpU\nsqS+pahUKR8yMWHLUq5c7G6rUYNdaX/+yceLjeXgabWaqFIltugcOqQ/18ePORxElzSUGvbsYSsW\nQDR16qfR3iMtiMUoGTp04BoN164B7u7AgAFchKtFC6BtW1bRefMChw9zCmPzjg5wm5B8CxHSaHDL\nzw/a+PjMXYggCIKQZl7fuYODXbrgTUAAtLGx2NNzME7vuAGtlj0IkydzcUULC+DXX4GxY/k3wJaW\nV6+A1auBPn2A+Hi28BQq5Ivr1xVLkbu7D27d8ka+fGzt2bGD0/AvXeLU/Fq1gKgorlG0ZQtboP75\nh70b9esrc715kws3hoRwoceqVVO+zr/+4uubRsPjjh79abT3SAsijN5D587ch+baNTZZfvMNmzLr\n1+cKpceOcZXSQ4eAx4+BH8ZZocW6RbiqqZ9oLI1NQdResABq48+2pqYgCEK24sWFCzjcrRuinj9P\n2JYTb/Dwl29w8chDrFgBLF7Mvc/Gj2ehtHgx1/2xs+O6eH5+7PqKjmbBUrCgL27eVERRiRI+uHvX\nG3nyABER7IYbOpQ7Mxw5wuLmzRtuY3XkCPdRO3gQWLKEQz90nD3L1agtLLjmkLt7ytd54gRXy1ap\n+Ga/Y8f0ePeyLyKMPkC3bsCKFVyNtHhxVv0dO7Iqb9qUP4AeHuzLvXoV+M7bFL13zcRFKN34QuId\nEdZ0SbIFwAThU6Fjx45o0aIF1q9fb+ipCMJH8ejIERzp2xexYWGJnosLeYmwjZNx9y632/j2W75W\nrFnDhRodHLhw8Lp1LJbevOG+Zfny+eLWLUUUFS/ug/v3veHkxBWlN21i78STJ1yAsXx5tjjVq8f9\nz3r3BjZs4Pii3r2V+ezfz8KmRAkWOfnypXydu3fza4n4Zr9OnY940z4RVERSwzklLFsG9O3L4ujO\nHbYkLVrEFUyPHGGL0pgx3Hftyy+BhQsJvo3noFT0Oph/vQqdhxc39BIEIcMICwuDjY0NQkNDYW1t\nbejpCMJHcWfzZpybOBGk1Sb5fK4SJVB74ULs/tMRHTty0/FjxwBbW8DcHDh9mgXMqFHcwT4yEsiT\nxxd37yqiqFgxHwQGesPBgR/7+fE4ERHAH3+wyHn6lIOog4K43cfNm3yTPmmSMpe1azk5qHFjPqa5\necrXOX8+MHgwW4oOHmQBllGsWcPiMVtg6CCn7MSiRRyUVqwYB2GvX09UuTKRnR3RvHkcrK2rDtq1\nK1FYGFGr+s/JxoYrh75LctVJBSE7IsHXwqfEpblzk02kOdSjB8WEhdG+fRyo3KULF028fp2oSROu\nUL11KwdA29lxccbChfUDrYsW9aGcOTkou0ABoqNHuZBwwYJEd+7wHO7f50DsvHm5WnZSTJ/O16Te\nvYni4lK+vvh4LvbIdiKides+8g17D5GRRH378nGyC9loqlmDefP4H+zmxl+KDRuIypThmkbTpnHN\niKpVOWtgwACi6Giic+f0x1iwgKhKFaLwcGVb7LsPBCGbIcJI+JTQarU0rfb4RKLo2NChFB8dTceP\nc8HfFi34JjcujqhdO74mbNzI14RcuTijrFAhfVHk6upDZmZcy6hQIc5Wy5ePqGhRosBAPv716yyI\nihRhgfRfNBqljtGYManLHgsL47pIRkZ8Iz95crq8ZUly+za/FzlzEi1blnHHSW9EGKWBOXMUcWRq\nyl8Ed3dOzZw/n78cXl68j7d34tf/8w+RpSVRo0b8pbq3YwdtrV2bgq9fz/zFCEI6IMJI+JRYvJhI\nhXgann9Igig6M3EiaeLj6Z9/uPBi3bpcRFGjIerWjYXG2rVE5csT2djwOb5gQX1RVLiwD5mb8410\nkSKcau/szBWudR2kzp/natMeHkRPniSeW2wseyRUKqLZs1O3rsBAIk9PImtron37eFtGpeRv2cLH\nKVo0cZeIrI4IozTy668sfIoUYTW8aRMLpYIFiVat4m1ubryPj0/i1x86xAKqe/Xj5Ffak/zc3Wlj\npUoUdOZMpq9FED4WEUbCp8LBg3xudnYmWjw/inw9utFJ3/mk1Wrp6lXub1apEltetFpuuaFWs0Wk\ncmUWTVZWRAUK6IuiQoVYFNnbc22j/ftZAHl6Ej17xsc+cYLFRMWKSVebfvOGb6hNTIh+/z116zpz\nRrFSXbny8e9TcsTEKPWc2rYlyo6nBBFGH4HOv+vqyn7kTZv4Q1e0KNHmzXzHkC8f7zNvXuLXr/a9\nRMtKlNcz1a738qLA/fszfzGC8BGIMBI+Bc6dY/dXkyYcJ5QzJ1Hd2rEUGkp07x57BUqXJnr1ikXR\n0KF8fl+4kKh6dT7nW1sT5c+vL4oKFvQhCwuOOXJ350KKtrZEFSrwWEQslMzMiGrVYtH1X168YEFm\nZcW901LDpk28lqpVFRGWETx4wMcwMeHmtjprVFwcUXBwxh03vRFh9JFMm8ZfjMKF+UuxaROLoZIl\nifbu5Z5rvXvzPu92RA4LCKDN1asnHeDn4UE3MzIaThDSGRFGQnbjzYMHFBcVlfD45k224FSpwq40\nIyPuNRYVxW4uV1e29mzbxhf8UaP4vP7bbyxmzM1ZFOXLpy+KChTwIUtLFkKlSxPt2MHiplo1otev\n+dibN7OYaNqUu9l/9ZW+gAkIYCuTkxO72lKKVsuNbQGiTp14LRnFvn38/uTPT3T6tP5zo0axwSC7\nIMIoHdB98AoV4i/Gpk1ssvTyYpWv1bI4MjLiLxURB1vv6dIn2cwHP3d3+ve330j7udZkF7IVIoyE\n7MSLS5doc/XqdGzIENLExdGTJ3z+LlGCaMoUPp/36cOWjhcv2MpjZaU0Fp8wQelYX68eW3psbYlc\nXPRFUf78PmRlxTFHZcty3I25OVGdOuwWI1Kaz3bsyGKodGm2TOmCrv39+bGrq5KxlhKio4l69OB5\njh+fcbFE8fHcFkWlImrcOLELcPdunsPPP2fM8TMCEUbpxKRJSqdjW1v2/9rbs6/49Wv+8LRrp9/b\n5sypGBpeeOR7xdGLS5cMui5BSAkijITswqM//6QN5ZUQhpn1x5OXp5by5iUaNIjP46NGsZAIDeVg\najMz3j5njuIlmDCB6MsvOQHH1pYoTx59UZQ3rw9ZW7MnoWJFzmA2NeUYochInsvs2TxWv358rKpV\n2d129So/f+yYIqqCglK+xpcviWrW5OuNnx+PExOT/u9lUBALQ7Wae6tpNPrPBwbyepo1S/xcVkaE\nUToybhx/yPPn5w/Dhg38halene8OYmJYUZubK839Lvtr6BtXnyRF0bUVKw27IEFIISKMhOzAnS1b\naF3p0onOtZ3zz6UxY/j8/csvvG9EBDdxNTFha8jKlYqQGT2a3V45cvA5PndufVHk4uJDNjYcr1S1\nKtHq1TxOy5ZsydFqOU0e4LT76GgWWZaWRGfP8vG3bmUhVa9e6gKYb9zgpCAHB6KTJ4mOH+djT5+e\nvu/l8eNch8nZmesw/Ze4OL72FSigxFFlF0QYpSNaLdGPP/KHPV8+/mCuW8cf9rp1+S5B92WzsSG6\neJFfd++elnoUW6r3Rf2myDTDLkYQUoEIIyEro9VqyX/+/Pda529u358Q6hATw0LFyIh/Nm/muCOA\n6NtviVq1YrGRKxeRs7O+KMqTh0WRuTnRF18QLV3KY3TowKn2Wq1Sg2jyZPYmdOzIIksXVL1oEVth\n2rdn0ZRSjhxhoVayJAeL37/P16HatdOvqLBGo9Tsq1Ur6ZICROy+U6uJ/vorfY6bmYgwSmfeDcrL\nm5fV9OrVbIpt3Jg/5DrzrKMjB/wRsW+5q+c2Wl2yNH1fdCTly6tJqGshCFkdEUZCVkUTF0dnJkx4\nryg6OmAAxb31b8XHE7Vpw1YiExMOKl6zhh8PGMAhEcbG7BVwctIXRblz+5CtLZ/va9dWOiL06MHj\nxsdzej+gZG0NGsQCYvNmfjxxIj8/eHDq3E9Ll/K8GjTgTgthYRyv5OqadOp/Wnj1it1iusKSyVXb\nPn6c1zRxYvocN7MRYZQBvHtHkCcP/6xYwWbR1q1ZuR8+zIrb0VGpdhoaStSh2nmyMI0hJyeub6HL\nWhCErIwIIyGrEvn8OW2tUydZUXT6p59I8/YKr9EoiTLNmnFszsaNfJHv2ZMtO0ZGHD/q6Kgvipyd\nfShXLj7P16+v1Lrr35/HjY3lzDC1mq8HRCxeypRha1R8PO8LcEJPSoOlNRqi779XjhUby9tatOCA\n8fSqWXT2LMfQ2tlxuYH30bs3e0bi49Pn2JmNCKMMQqtVilzlzs2utSVLWNF37MhfiDp1FPGkC6yL\nimIT5D//sJm2Vq2kUyw12fUTJ3ySiDASsjIhN2/SilKVE4miS3PnJmT+arXsJgPYyk9EtHMnn7M7\ndeLq1mo1u6YcHPRFkZOTD9nZsTuscWPOVtO53bRaDqNo1owtUJs3688tJobP8W3a8PhLl6Z8XeHh\n7NZTqViI6cTU6NG8bffuj3/vtFqiuXN5bZUqcemAD6HRJO4Pmp0QYZSBvFsAzMmJg9AWLOA7jp49\n+cvQuDE/X6BA4gJYJ0+ySbZ1a33lHRseTvs7dKC7W7dm7oIEIRlEGAlZmStXiKq6nKGVJb3Iz92d\n1rqXolsbN+rtM348n4vnzuXHBw6wGGjdmqhXLxYaDg5E9vb6osjRkUWRiQlR8+bKOKNH8zVAdxNs\nZsZFHP/L69d8A5wzJ9c4SimPHxOVK8cB3jt3KtvXrdMPIv8YwsL4Rh4gGjIkYzLbsiIijDIYrZZo\n4ED+YDk6ciHI2bMVf3VcHCt+XZFIXW0LHTt3spDq35/HigqPoY2t+ibc8VxZtEhqHQkGR4SRkJVZ\nsIBjbarl2kcr3MtT4OEjes/PnMnn4KlT+fGff7KQadKEU+kBFkV2dvqiyMHBh+zt2arUurUSX6pr\nzPrqFVtZrK253cd/efKE693Z2qYuSPnCBY5hzZdPSeLRcesWZ0h/7GXB35+oWDF2x/1HQ37yiDDK\nBDQaom++Ub5cRYtykTCA3W3x8ZyxAPBz/3WdLVv2tm7GeC3Nrj8qkTn47KRJ4loTDIpOGDVu3Jia\nN29O66Ryu5CF8PfnLDGViqhp7Zd6FvilS5XaRURcSsXCgtPkBwxQbmpz5dIXRfb2LIp02WM674DO\nUvPkCXc+cHBIulr1zZtcVDJv3tTFAe3YwWspX54yLEFn5UoWhqVLKwlCnxMijDIJjYaob1/+4tjZ\ncXn3qVOV6H6tln3YAJek/29q5dSpRB2cZiQbQHhs8OCErApByGzEYiQYmoinT5PcHhDAFhmA43je\nTX+fNYuFzYABfA4+f55LqXzxBbuOdKLI1lZfFNnZ+ZCDAwutzp2VG1+dG+7+fa4l5OJCdO1a4jmd\nPcuCqWRJJfnmQ2i1XItIpeJ1hIen7v1JCZGRXPEb4ADqz/WSIsIoE9FoFF+1rS2Rh4fij54yhfeZ\nNInNsl276qdqajRamtZ09ntTTvd36kRR2a2SlvBJIMJIMBRarZYuL1xIG8qWpef/Mc08f84CBOBz\n77vnVF0F67Jlebu/P9+0VqpENGKEEhtqY6MvimxtfcjRUUnD796d/9YFTd+4wS4uV1euJUTEQmnL\nFv77wAG2SFWpkvI0+thYJc1/1KiMqSJ96xZnQpuZKVlznysijDKZ+Hjli2Rjwx9Eb2+lBw8RtxN5\n9y5Gx8uXRA0df6c1JUslK45OjBxpmIUJnzUijARDoImLozPjxyec/9aUrUoXDrEaCQ1lYfNudpgO\nnShycOCkl+vXed+yZYl++EGxFFlb64siGxsWRTqLSocOHAO6di2Pe/Eiv87DQ3FzPXvGIRJubuyi\nMjbmqtkRESlbY3Awu/WMjYmWL0/HN+8dNm3iWKJixVggppSgIA4HyQjrlSERYWQA4uOJunRh8WNt\nzXUsdKn98+bxPjq/t7e3/muvXiWqav8HrShRNpEo2lynIUW+eJH5CxI+e0QYCZlNbHg4HR0wINF5\ncHXlhhT29AW5uPA59Mcf9V+na/rt4MAp5XfusMvLw0O5SXVyIrKySiyKdELrm284acbYWEm/P3mS\nb3YrVFAsQaGhLLZy51a6IvTsmfIq1HfucGPbXLmSbrvxscTEEA0bxvNq3z51rUc0Gq4O7uzM4u9T\nQlaADg0AACAASURBVISRgYiLU4qFWVryl0mXvbZsGe+jy5Tw8dF/7e3bRB62F2lhsWoJJ4OFxarR\nntX3M30dgkAkwkjIXCJfvKB97dolazmfV6Ed5TCKofHj9V83YYK+pSgwkIsWFitGNHasIoosLfVF\nkbW1IooGDeIyKzlyEO3axeMePMgB0bVqKeIiKoofW1uzGNLd6KY0W+zECS4k6eaWdAD0hQt83LQS\nGEhUuTKXGZgzJ/VZbLoEogMH0j6HrIoIIwMSF6eUl9f5nPv0YTebnx/vo4tB0lmSdNy6RVTQ6j7N\nLPolrS1dlpZPuvDR6ZmCkFZEGAmZRei9e7S9YcNkRdFa91JUL9cG2rBB/3U6a5C9PVt0Hj9mF1fh\nwkoD8KREkZWVj55LTleTSCdKtm5lkdS0qRKsrCvDYmpK1KgRv/bXX1O+xjVreMxatZKOQ3r2jGvf\nVa6ctnijvXs5nqpAAaIzZ1L/+vPnWVB9qpEbIowMTGws0VdfseVI13Swa1elceG71VhbtlQqZBOx\nW83B/CWVsjiZkA0hCIZAhJGQWVxZvDh5UVS6HJW1PEKzZum/5p9/+IbTzo7o6VMWFiVLcpC0zork\n5ERkYaEviiwtFVE0ciR3i7e05FYhRESrVikNYnXFD7VavsFVq9kTYGLCRRdTgkajWK569ky6oGJs\nLAsmJyeiBw9S997FxXEWNMBCLi25Om/esIWtXLlPt+CjCKMsQGys4q/WNR9s25a/ULt38xdNV+co\nTx799M5z53g/L68Pf0i1GZHKIAgkwkjIPLRaLe0fNDqxKKrwBbnmvESjR+vv/+IFkbs7xxEFBrIY\n8PLiuJ9JkxRRZG6uL4osLHzI2VnJBKtYkWOI/v6bx507l5/r21e/M8HRo7zd1ZVFVErdXZGRHOej\nC59IzgMwZAhfK5IqGPk+nj7la4tazeOn9XLQpw/fxN+4kbbXZwdEGGURYmK4nLyJCZtf69Xjx6am\nRIcO8RdP1z7E0VH/Q/nHH2x2/W+K/7vc27WLDvfsSTHSlVbIAEQYCZnJjF9iybuA0gFgfc3G5GIW\nSL166QuK16+5EKLunPn6NQscBwd9UWRmlrwoGjOGE2Ts7dmFpNUqAdwjRiQWMIGB7J5zdGRLVUoI\nCmK3mJlZ4l5q77J8OR93wYLUvV9Hj7IQdHb+uCDuTZv042A/VUQYZSGio7kEvU4cNWzIP2ZmRMeP\ns3iqU0epg/RuKfjff+ftI0YkHvfPlX/TOk9P8nN3p13NmtGbR48yb1HCZ4EIIyGzePOGiyeO+vYN\n+dVpTRsadyIny2Bq1oxdRToiIrjDu40NnyvfvGFXmK0tt+xIThSZmyvus59+YmuTszPR5cssgnTp\n/BMnJhZFly+zZapwYY4DTQmXL3MAeO7c7AFIjtOn+Qa4X7+UB0prNFwcWK1ma1EyNTBTzL17Sa/7\nU0OEURYjKoqD9XLkYIHUpAl/oC0t+YsREUFUtaqSzfZuf505cxI3D3zqf5OWlqikZ3LeUqMGvbx8\nOfMXJ2Qbpk6dShUrViQrKytycnKiVq1a0c339AYQYSRkJiEhXIvI2ugF5bKMpKpV9esCxcTwedTC\nglt8REbyTaWVFYsilYotOjlz6osiMzNFFI0fzxlhefOytSk+Xqlw/dtvied04gSLrjJlUi5A9u3j\nOXl5vT9eKCSEBVe1avqVu9/Hy5d8/dBZvd4VjcL7EWGUBYmKImrQgK1GJiZELVrwF8LWllM0dbUx\nTEy4I/O7PmxdrYzVq7lE/pZadZMMUtxQvjw9/OMPwy1SyNI0btyYVq9eTdeuXSN/f39q2rQpFSxY\nkCKT6REgwkhITyJfvEi2xZFGo/Qls7HhIOp3g4jj4znbN0cODkOIjmaRZG7O7jO1mkWRqam+KMqZ\nUxFFEydyH7NChYju3uU40M6d+bVJuZF27OBzcZ067K5LCXPm8HjNmnEX+/eh1RItXsz911LCmTOc\ncWZnR7RnT8peIyiIMMqiREYS1a3L4sjIiHvjVKjAfu7Ll/luoGRJdrPt3Km8TpcRYWxMtGv5bdqc\njDDyc3cnPw8PuqEr2SoI7+HFixekUqnoRDIRnyKMhPTi9Z07tL1BAzo2ZEii5tjR0RygrFIp3eV1\nlpanTzk2s00bPmdu386CpmVLPo9OnMjbHR2JcuTQF0WmpooomjKFxy5alMeOilLiP5PqMr9kCQuc\ntm1TZs2JiyMaPFi/iXh6odUSzZ7Nc61cmfvECalHhFEWJiKC3Wg5c/IXul07Nrk6O3PBr8ePOfOh\naFF9021cHH+Rzc2Jvmr4jHyLtnlvj7XgpLocCsI73L59m9RqNV29ejXJ50UYCelB0OnTtLFKlYRz\n0/w2SnXb16/5fJgjB8f95MrFJUuIOPbF1ZVdZwDXAYqP52xeExNOyTc25qDrD4kiZ2ce/8kTjkuq\nW5fPwXv36s/16VOl/tGgQSkTOKGhnERjZJT6AOqUjN2uHc9n2LBPN5U+M1AREUHIskREAI0bA+fO\nAbGxQPv2wKVLQFgYcOIE7/PFF4C9PfDnn4CdHW+LjAQaNABu3ABKFYtA1acj4WlxItH4XiNGwqNP\n78xbkJDtICI0b94cb968wbFjx5LcJywsDDY2NggNDYW1tXUmz1D4FLi/cyfO/PQTtPHxets9ho+G\nU9OuaNQICAwEvLz4fHj4MFCtGnD1Kp/roqOBkBBg3jygf3+gd29g7VpgzBhg2jTA2hoIDfVFXNzo\nhLFz5PCBjY03Xr4EpkwBZs4E8uUDDh0CjIyAJk2Aa9eA3buBmjWVOb16BRQrBgQHA5MnAz/+CKhU\n719fYCDQrBnw8CGwaRPPOb3w9wfatgWCgoDly/lvIe2oDT0B4f1YWAB79wLlywOmpsDvvwPlygFm\nZkDduoCxMX+JnzzhL/GbN/w6c3Ng1y4gd24g4IkFbpWZiz9C2uuN/Q91QMlevQywKiE7MXDgQFy7\ndg0bNmww9FSETxAiwuX58/H36NGJRBEAXP3NF2/+PYG8eYGGDYGTJ/k8WK0acOaMIlhCQgAfH2DA\nAGDQIGD1amDUKODnn98vil69YnHz88+Aqytw5Aig0QC1awN37vDjd0XR69dAiRIsiiZOBMaO/bAo\nOnMGqFyZb3RPnUpfUbRiBY9tZgacP59+oigqKn3GyZYY1mAlpJSwMM5GMzNj/3r37pzi6ebGJt9/\n/uHshjp12Ceu4+FDovz5iUqVIho8SEvN7JeSn7s7bWr7Dfn/K2kKwvsZNGgQFShQgALfrSqaBDpX\nmpOTEzk7O1O5cuWoefPm1Lx5c1qX0rK/wmdHfEwM/T1mzHtd/Qe7dKGo4OCE9ki64OdDh9h1VrSo\nUoTx3U4Bo0bx+dLensjYWN99ZmLiQ46O7F6bPJkzfKtXZ3dUQACPmSeP4qrT8fIlu+MAIl/flK1x\n40Z2xVWrRvT8efq9dxERSg+2Pn2UdiTpQWQkuxP/W0H8Y8fMLogwyka8fk1UqRLHDgFEvXpxkKC7\nO3/hjh/nL2Dz5hx0ePs2+5mvXePshBo1OMW1rNWf1LV9eIrTPoXPk0GDBlG+fPno7t27H9xXYoyE\ntBD54gVtq5t8gsiJESMoPjqaFizgc97Uqfy6U6c41sjLi28U+/fnbLXRo5X2HebmyYsiBweOPZo0\nicVT3bocT3TjBt9IFi7M2Wjv8uQJj5dSUaTVcswSwBlt796wvu81v/3G6fnv4+ZNotKlee4rV354\n3NQybBgHrCcTUphqDh/m2lPZBRFG2YyQEM5O04mjPn24SFmZMtwteu9e/sJ36MAZG40a8Z3FqVP8\nJWrVimjDBr57+VCKaHLpssKnz4ABA8jW1paOHz9OQUFBCT9RyZzdRRgJaSX4xg1a6VEhkSi6OGMG\naTUa2rKFxc/QoUphwZgYvjE0Nibq0oVFka5o47BhbAGysyMyMtIXRcbGPm8DsDkg29SUg6EjI7kI\npKMj32j+twburVtcLkUXoP0hoqPZqp9cIcjk+O03fs3Wrcnv8/vvvL7ixYn8/VM2bmr444/UN71N\njpcviXr04PFq1vz48TILEUbZkOBgbuCny8D4+ms+CVSqxKbgjRuV+hjm/2fvquOjuL7v2924kUAg\nQAhuCQGCW3EoXqR8f1CsRmmBttACBUpLgQItVKBQijsEd3ctBPcGCRKcECIQortzf38cHrMyK3F7\n5/Ph02Z3dmZ2dua98849914XSMTR0ei7ptGgcqq1DIrkuDja0aXL28FJIH9BpVKRWq02+bd06VLF\n7QUxEkgrQkOJmvkdoeX+gbQyIICCq1alm2vWEBHR4cMgLz16GLY7OnwY6njnzlDHf/8dY+HAgUQe\nHuZJUaFC+NzYsVhAdukCEvPvv6iJVKsWeqvp48wZ2BR4eM4anj+HOu/oaHvzWCK06tBoiEaMUH4/\nKQl90hjD9bC2sE0LYmKgmDVrlvZeakQggitWIOzo6YmSBrlpGhHEKJfixQuoRJwcff45Hux33iGK\ni0McnjGivn0xSFSvjn48ixfj9bFjze87KSGFVnT6/O3K7eiQIUI9ErAIQYwE0opp06DSHJ22klbW\nqE2Pjh4lIqJLlzCmtWplWB+IE5WWLRGe4s1cP/0UKfxeXkRqtSEp0mhAilxcUARXoyHq2ROkat8+\nvN6kCRaW+ti7F2NsjRqohG1N+QkNRciocGGQLVvx4AE+07KlcoXqe/ew8LW3x/fNrJYcH34IYpme\n+kd37yJSwRhqTqW3DUl2QBCjXIzISKJq1SCrMoY4u5sbHq74eAw4XFouXhyGwrt30VmZMaJZs5T3\nO6/7RBNZe3ePHhSfkc5BgTwFQYwE0gpJQiHFJk2Iirs/padPUZeoWDEo4/rKyNWrWOjVrw9P0IIF\n8gKwUCHzpKhgQRCcUaMQlvvoI6jmmzYhrNaunWFLESKoPbwtU1yc9e9x4ADUkYAAnL+tSErC9/Hz\nUzZnb9+O71WqFNHp07bvN7XYuBHXMq2epZQUKHcuLvgu27Zl7PllJQQxyuWIiEDGGSdHAwfCS9S+\nPR64cePw+rhxWMkUL47BZcgQDBDr1hnu7/ry5WaNkJtatqRoWzsjCuQrCGIkYA7apCSKOH/e7Pv3\n7qGKf8GC6P0YEYFs23LloHJz3L4NslS9OuwEK1diDOvRA2qLp6cpKVKrQYrc3WHI5mOkToe2Sbxw\nrnExRO716dcPqpI1zJ8Pv9O779reEoRj8GCQs1OnDF9PSZHN5B07GrY9yWgkJ6OFSJcuaVOjzp9H\nGJJ7wTIjzJeVEMQoD+DZMwwsPKw2cCAetG7dcMN/8w1enzEDCtNnn2Fg+OADbHfwoLyv25s308qq\n1cySozV16tAjM20hBPIvBDESUEJCVBTt7dOHVgUFUcSFCybvnz+PrvKlSyMj7NUrJJf4+MBYvGgR\ntnv4ENtUrAiytH693CqpaFGE3FQqU1Lk5YX3eG+1b77BxD9rlhx+0/dbShJUJcaIvvvOOknQaomG\nD5fH3dQ2al29Gp+dO9fw9cePiZo2xXf89des8eeEhmIuSQ3i4vD9NRpkyRmTu9wKQYzyCJ48QZaC\nfljNzg7kJyUFA4BGg1L5PF6flIRmtR4eyMggQnpmZZcztKRaA7PkaF+/fiRlVpBbIFdCECMBY8Tc\nvk1b2rR5O27MC3iHrh6XW8jv3o3xqlYtjF9JSVBc3N1hRG7QAIu9c+ew8PPzIwoPR2jJ3h4qiq8v\nxi8lUuTpiRDUwIFyh3lJQsq/PkniSE6W6wL9+af17xcXB/O3Wg2FKS1D4rNnRH/8YfjZQ4dADIsV\nIzpyJPX7zCrs2YOyBo6OuKa2KGu5BYIY5SE8fgwJWp8cqdVIa01OhhHOwQGGQo6XLzEwFS0q1+1Y\nuJCouNM9ml29nQkpWlqnFSVERmbPFxTIsRDESEAfj//9l9bWq2cyfgQ37UhJsbG0eDEWau3bQyXS\n6ZB27+CAdPQqVeAZOngQPqMiRVC7Z98+TMRt2oAoububkiKVCqTI25uof3+MhT//DPIxcqRsLdAn\nI69fE3XogMWkLX21Hz6EIdvNDUQtI6DTEU2ahDG7RQvDMGJOQkQEUZ8+uI4tWqCUQV6DIEZ5DA8f\nIjbv5oZ474AB+O/AgVCKOnSAOe74cfkzz57BmF2+vCyl7tpFVMQ9mqYE9ns7qC2oVJuqFLmRK7MM\nBDIXghgJcNxYuZKCq1Y1qzgf/fprmjMHIX0eevr2W4xT06cjZFaiBMJs77wD79ClS1BPnJ2RSl6q\nFE+hNyVFBQqASPXti8n7999BOrhyZFyfJzIS5mdXVySubN1q+fudOwevpp8fzisjEBkJkqhSEf34\no20NabMakkS0dKlscl+8OPOy47IbghjlQTx4AImTkyO+avr2W6yMmjZF3F3fD3n7NuTbWrVk49y5\nc0QliiXRsIqjaGWVQFr+02EqVgxpoyJ7X0AfghgJSJJEZyZNstjeY3Pr1hRz69ab7fG5336TPT1F\nihBVrkwUFoaUb1dXopMniUJC5LYdZctyVdyUFHl4IATVs6eceZucDDVKrZbbiXCEhyNM5+1N1L07\nttmyxfx33LwZC8s6daDQZwRCQmB8LlQIC9KciLAwlE1gDPaMnKpmZRQEMcqjCA/HqsrNDQ/7J5/g\npv7hB9TqqF0bmRyhofJnzp9HvL51azlLIzycKLCKRNW9L9GBA+jJ5uyMTI7cVLBLIHMhiJEAEdGV\nOXPMkqI9vXpRvFH1xKVLMS716YOxp04d+I26d0dYbf9+jEuennivfHmeZGJIihj7hdzdoTR17YoF\n4cKFqHPUuTM8SWvXGp7r1avwKJUujUUjY0Tz5il/L0kCgVOpcG7Gqf1pgSShF5m9PfxU9+9b/0xW\nIzkZbaScnTGf7NyZ3WeUNRDEKA/j7l3IvW5uiOfzEvWTJkG6DQjAQMKLeY0eDSnZwQG9fTjxiYmB\nKXLxYvy9YYNMsozx4urVrPhqAjkMghgJEEE1WtDpOxNS9O9335HWqDnjjh0Ylz79FD6ddu0w1nz8\nMV7fvJnoyhUoKUFBUJIskaKSJWEV0GhQg+jVK4xnTk6mE/rx4yBb1arJ9d7GjVP+TsnJsuo+enTG\nLAhjY7G45CZw43IBmQlJQgagNZw5g9IIajWI46tXmX9uOQWCGOVx3L4N8uPmhpVJr15y1sWjR5Cl\ny5fHKm3NGmwTFISV0dChstxtPBhMmYL96HeIuL15M60MCKDzv/1GupwYJBfINAhiJECE8FJQYCL9\nVLrXW1J0de5ckyzWkBCEpN57T/YZ6XQYcxhD9uyNGwjvV6mCRRz6Q5qSIjc3qD7vvovxa8MG1Dmq\nXx8+JOPMri1bQJaaNkUdN94mSckvExUFg7G9vbwwTAsSEkD0iIguXsSY6+GBsgNZjdWrQXauXFF+\n/9UrkDW1GnPBmTNZe345AYIY5QOEhcEsyMkRX6n88w8qtBYvjiKRL17IJfDLlsU2U6Yo71OSEJ6z\ntyc6epRo94JztDyw+tvB8NDAgZScn5YY+RyCGAkQYaxxdSUqU+Q5rWjcka5t2GOyTWgoVKBGjQy9\nimPHyr6gO3cQ5qpYEWOTs7MyKXJ1RbJJs2bIVtu+Hf6XatVwDONJfcECTPjduqFlh6srUadOyvWH\nwsJQAqVgQfRmSw8+/RRk7Lff8N/q1YneWK2yFM+fw0LRvbvy+zt3ImTm7Ew0dWrq6zLlFQhilE9w\n8yZS8t3cECrr0gWD0OLFqF1UqBBM1S9fokhXwYJ4gPg2SkhKwoBUofBDmuf/jol8vq1jR3qZnqY7\nArkGghgJ6HSYcF1c3hT9U6XQhAmG2zx8iJBXlSpQYzj++ANjzS+/wGtTujQSSIKCQCSUSJGLC8qT\nNGyIiXzfPngiK1SAAfvaNXn/kkQ0caJcxkSrxbHq1VP2Cx09ijGxQoX0p6PPn4/jvvMO/tu/f/Yl\nr/TujYwy48zip09lw3rr1nLplvwKQYzyEa5fhzTt5obBpmNHrJ5WrYKp2sMDsnFCAtF//2HFxv1J\n5mp1PH+WTH/6dzZruFxXvz49OXkya7+oQJaDE6N27dpRp06dKDg1bcUFcg0So6Pp9PjxlKzQPGz0\naITgO3bEBDt8uGEIPjoa6o+fHzJnOThxGDVKrsXm54c6QY6O5kmRvz8M2W5uIDI3buBzZcoYTuw6\nHdGXX+IY48cbhswSEky/49KlUMKbNUt/G47z57EvLy+QN33rQVZj+3ZT+4Mkobq4lxeI4LJleTcF\nPzUQxCif4b//oAS5ueFBbdsWxGfjRgwuzs6QlpOTsXKrXBmvOTsjbVYJ+6ZtoyX+QWbJUXDVqnRz\nzZqs/aICWQqhGOV9xNy69baS9YGBX5E2RWY9S5Zg0g0IwGLLuEF1fDxCZ56ehpmwq1eDTA0ahBpq\nAQFQe+rUgbKtRIqcnaE4BQVhfyEh8O0UKYLPP3wo7z8xEYVt1WqiOXMsfz+djmjMGHyPTz5JvyE6\nNhYLUbUaIUFznp6sQEwMFrpt28rE5+ZNoubN5Sa8RgmD+RpqJpCv4O/P2KFDjDk5MabRMHbsGGPN\nmjHWowdjcXGMbdzI2O7djH30EWO+vowdP47XatVirEMHxkJDTfe5Oawjm/JoMYvRFlI8JkkScy5c\nOFO/l4CAQObh0eHDbE+vXizuwQPGGGNPjxxg//T8mzHG2NGjjH32GWPe3ozdu8fY1q2MDRokf1an\nY6x7d8ZOnmSsSBHGKlbE6zt2MNanD2O9ezM2YQJjbdowFhnJWMmSjF26xFhy8q+MsdF6Z/ELc3Ia\nxSpUYIyIsQcPGDt4kDFJwhjm58fYkSMYtxhj7OVLxtq3Z2zLFsbWrWPs88/Nf7+EBMZ69mRs0iTG\nfv2VsQULGHNwSPv1SkxkrGZNxp49wzmcPctYYGDa95dejBzJWGwsY3PnMqbVMjZ5MmNVq+L32ruX\nsWXL8PsJvEF2MzOB7MHly5BOXV2hHjVtivDagQPI1FCriT7/XF5dREUpy+BEWA12705U0O4xTSzT\n3bSo2wgzxUEE8gyEYpQ3IUkSXZs/n1ZWqaKoBp9ctJMKFEDIq1gxw6Kx+Dx8LYwhQywkBK8fPozx\npnNnhKvq1oWvsUEDhJ6UlCJHR6hEFStCibl6Fb4iV1eixo2h0HA8fYpQnIeHdeP0kyc4vrMzMtrS\ni7t3YWDmfqLsDk3dvw/1bdYsXP+qVRElGDEiY+ox5UUIxSifompVxg4cwKqIiLELFxirUYOxTp0Y\nK1oUK6a5cxkbNQrve3lBSVKpGGvblrHoaHlfzs6MrVnD2BffFWMT7i1jIbFt3753NqE9qz+sfzZ8\nQwEBgfRAm5jITowcyS5Om4ZBQAGnf/ubFfFOYW3bMnbmDMYQfQwezNjKlYwVLMjY6dOM1auH7Tp2\nZKxRI8YWLmSsc2fGrl+Hmn3mDGMpKaZKkaPjKBYYCBUoPh4qVVgYVOzGjTE2eXhg67Awxho2ZOzp\nUyjiTZua/45XruCcHjzAPrt1S9clY9u3QylKSIDqPn8+xszshJ8fYyEhUPsbNMCYf+YMY1OnMubi\nkr3nlmOR3cxMIHvBq8q6usKAV6cOVnanT6NvES8IyREaipWdcaotx6JFRCqVRF0Kz6G17f6PXjxT\ncDcK5DkIxSjv4fSECRbbe/xZvReVLvzcbNr5iBEYP3x8ZN/PlSuyMhQRgQKMXPHRaJSVIgcHjEt+\nfshWu3MHdY40GpQe0fcCnTsHr1HFilBuiJCWb1RbkoiQmu7ujtT59FadTkmRG9S+955hxl12Y+tW\n1LJzcUH2X35NwU8NBDESeJuR5uIiV5n18oKhcfx4POwzZ8rbnzwJ2Vm/OJs+9uzBoOWgSTJr2BbI\nWxDEKO8hITKS1jdtoUiKfms6hpwdkujoUeXPfv89xo1ixeTMrrAwlAypXh2hrvbtEU5r0sQ8KbK3\nR6HGokWRrfbgAUJC3CCtX0d2/37YAurWBekiQnFHBwek5utjxgzYBTp2TH9F50eP5O8wZUr2h844\nHj+Wa9a1bSsTRQHrEMRIgIigELm5gRx5e8NP5O2NOD7vI6Sf5snL+VeurByn/vdfkKdq1YgUMnvf\n4tX9+3Rs2DBKjI7O+C8lkGUQxChvYsvcq7S4cg05wzQwkGZ9uJQYk8ymnh88iEwzX1+ZdDx4ALWn\nYkX8f9euICzNmoGgKJEiOzvUKCpcGFloT56A4DCGCtn6pQBWr4Y3qU0b+ZjXrkENb9FCVpVSUogG\nD5ZbcaS3QP+BA1CoihUjsyQxq6HToedbgQK4dsHBOYes5RYIYiTwFidPQtZ2cYH8XbkyVmo3bsBE\nqFYjrZ+DS8d+fsrS8cWLIFtduij3F4qJiKOt73WhlQEBtKVNG4pObyU1gWyDIEZ5Dy9eYGLtUm4L\nrQwIoLX16tG6KcdIpUJauxIuXID63Ly5vGCKiMBY4ueHMFjPnlhUNWsGAqVEijQaFET08oKCHREh\njzc//WQ40c+Ygf306YMyI0RQcUqWhNE4JgavxcaiH5tGYz113xp0OqKff8aY2LIlSg3kBFy/DvWK\nMfSci4zM7jPKnRDESMAA//4LYuTsjFVQuXIY0MLCUA/EwQFtQzj46qtoUeU4/bZtGDxGjDB8XZIk\nmlRrqIE8v6ZWLQrfY9pCQCDnQxCjvIklSzC57vppMU0efpecnRGeUVro3L6NcaBWLVTQJwIpqVkT\nqkpoKNFHH4HENG9umRQ1bgyCVbcujj9woNzjkUOS5JDdsGHyOb16hYw0X185g/bePajgBQoYjl9p\nwfPnCE2pVGhjkhPaQiYlEU2YgPG5fHkoWQJphyBGAiY4dkwu6ujri9TTMmWw2mvfHsTp+HFsK0lE\nH36IwcnLC6E3Y/Du1fPny69d+meeWVPnxenTRRPaXAZBjHInXulXQzSD4GBMuA4OICpKSRfPnmFC\nLl9eVk9ev4bq4+kJJYmTG15UUIkUqdUoHeLqis9GRiLdX6VCnzOOlBR4jBhD/zH91zt0gKn6ABGW\nvAAAIABJREFU0iW8dvIkiFmZMihwmx6cOIGForc3vJSSJPuZsgsnTiDUaGeH6uHZWUgyr0AQIwFF\n8Dojzs4YCHx90VDx7l0MXAUKyDVLdDp4BlQqDGjGsXZJwqBoZ4eVTHJcHG1qoWzq5P8ODhggfEe5\nCIIY5S5IkkTXV6ygVdWq0Z0tWxS30emIfvhBXvT4+Zn22CKCOlSrFsLvvBVHYiL8Pq6umLi5T9ES\nKVKpEF5zckJ4KjISdY7s7Ij0C+e/fo3q/HZ2aGGhj5EjESrjwvPq1aix1KhR+giMJGGBx31PXIma\nNg3hxuwIWcXGomK4SgXCeukSvq9GY1hdXCD1EMRIwCwOHsSg4uQE1ahoUcjRd+4gfbZwYfkBTEqC\nyVGjgQny2DHDfaWkEL37LlaP168TLZwRQRve62WRHF3ST4UTyNEQxCj3ICU+nv4dOVJ+1qoG0dE1\nhjLDq1dY7PA2H25uKAqrj7g4PPetW0Oh4QullBSi99+HwrR/v9xmwxopat4cY0eHDghXtWyJsWfH\nDvmYL16AmLi4EO3aZfrdbt0COZAkhJYYg/dIKV3fVsTEEHXrJofsuI8pJARE6dtv077vtGLTJixW\nXV2J/voL4bzYWNgfunbN+vPJaxDESMAi9u/HAOfkBCm6UCHE72/fhnxbogTi90QYTGvXxsOqFFKL\nicEgW64c6pi4OCbRyt7jFEnRlvd7kTa9zYoEsgyCGOUOvAwPpx1dupg8b4trtqD4N82y7t1DNilP\nnFCrUfNHHzduYLFUrx7Gh4MH8bpOBx+RRkO0ebPc0b5ZM/OkiJMmjQYE5OlTpOi7uxtWrb5/H+NH\noUJyBW0lJCaCDDEGcpSejKwLFzBeFSgAMsIRHY3vX7++TJSyAo8eyYS1Y0ei8HD5vaFDQRj1XxNI\nGwQxErCKPXuwknN0xCDh5YUB4eZNorJl4SvgEntEBOqNlCuHAc4Yd+5AaWrUSB68pn6whlZVq/Z2\nkP6nYmO6GpJD0jwEbIIgRjkfDw8dorX16plVaPf27UvRL5KpaFEsgsaOxfP511+G+wkJATkpWBBh\nnHXr8LokEX39NV5bsQLFBBlD6N0SKWrRAp/p1QuFIKtVw77PnJGPee0aFmGlSkFxNoeICIwtjo5Q\njtIKSYIn0tERC8GwMMP3evQAWcqq2kA6HdHs2TCk+/ggtKhP+C5cAIGdMiVrzievQxAjAZuwc6dM\njipUwGquSRMMWL6+CLHxQm537iDsVrOmnJ2ij3//xX769SOaOhWD4ifvnqf1TZrSysCqNHPEGdMP\nCeRoCGKUs3Ft4UKLYWseupZ0Olq9mmj9eig4gwcb7mf7dqgSvBfYrFnyez/+iNdmz5aLMDZujP+q\nVOZJES/WeOcOxpZixQwV5xMnsBirWhWKiTn89x8WakWKULoKy8bFods8Y0QDBhAlGBXvX7QI76WH\neKUG166B7PHea8alUXQ6KPABAVmrXuVlCGIkYDO2bUNM3cEBhdpcXYlatcJqxdsbBkBOhC5exOqm\nVSvDkv0cwcF40CdOxGDr7k5UPzCCzizfnbVfSiBDIIhRzsbDI0fMEqK19evTw0OH3m4bGgo1pG1b\nw8r2CxeCLNWogWd37Fj5vd9/x2u//ortGJMnc3OkiHuOBg3CMf38oFRxAzcRxhxnZyzCLOVi7NuH\nc65SJX0qTmgo9uHigrYjxrhxA+Pexx+n/Ri2IjERNZvs7THemmuGO38+ruORI5l/TvkFghgJpApb\ntoAc2dujaJuTE8ySISFyYTe+wjp8GMpQz57KdU/GjcMDvWYNVkVly0JpslaiX5uURLfWrSNJaacC\n2QJOjNq1a0edOnWi4ODg7D4lASOsGvi3CSna0aULvdQzpTx/juewShW5MKK+kbltW5CjAQPkUM68\neXhv9GiilSuhADdooEyK8LfsORo2DAurIkWI/P3lnmpEUGY0GnhqjFUbfcydi+3atoUBOa0IDgbp\n8ffHeKSEsWNBUtLbRsQajh7F+Gpnh8xAc98/IQHXrl+/zD2f/AZBjARSjY0b5ewzf38oSO+/T3To\nEFZ3nTrJku769Rgov/4aA+k//8CbRIS/e/UCuQoJQcrrhg3Wj39m8uS3Kf0JOalbYz6GUIxyNl69\nIvpfdx0N9/viLSn697vvKEWvKFFiIlSewoUNVZdz5+Bf6d8fz3fnzrKStGoVnu/Bg+XwW926lkkR\n9xz98APC6p6eSPd/4/0mSZJbfwwYYFpAUZKIvvgCWWm8DMDgwWlvjpqYCNWKMYxHlkiPJGVuan50\nNL4zYyCXttQkunQp51TezisQxEggTVi/HoOlnZ1cXKx3b6TW2tsTffCBPKDNno0Hffx4EClvb9kD\nkJCA9FsfHzm7zRKWf7/bYMW7qUULen7xYuZ9UQGbIIhRzkZcHJ6ztUujaVuHDnRt6QqS9Ny7koRk\nCEdHeHqMsWMHDNHvvCMXeNy+Hc99374Iednbg+BYIkXcczRpEsJfrq54jatTOh0WUUqtPzi4l6l2\nbYxBM2ak/brcuYP9ODhgnMqunmKSBBN70aKwFfz9t7LKLpA1EMRIIM1YswarRTs7mK/VaqJPPyVa\nuxb/ry+3//QTBrMZMzC4OjsjnZcImSRlymAflubV6LC7tMi/jkk4ILhaNQpdtsxgoBfIWghilP1I\n0Yu3xMTIZINDkt6oMROTKCjIsLnzzz/j+Vy1ynS/Dx7A/xMYKBt/Dx2C0tulC9Hu3SBUQUGWSVHD\nhnJbj82bQUbatpV7qiUmIuyuUoGkKGHpUuyjWDGUE9CvcZRabN0KtapMGaKzZ9O+n/TiwQOi997D\n9+rcWS4eKZB9EMRIIF0IDsZAptFg4OSyOs/cGDFCHpAHDMB2GzYQde8O8vT339jPtWvwKLVrpyyJ\nSzod7eze3WJWzdEhQyhJKQ1OINMhiFH2ImzjRtrQpAm9vHePJAn1gGrXNlRA4uLQ75CHsbgisXq1\nXPPHGFFRUIRLlpT9P6dPg5S0aoU6Z87OyBizRIrq15cz1pYvxzjwv//JiRkvX2J/Dg5Qo5Vw5AgW\nYS4uIGq85UdqkZxM9N13MhHJrmi8Vks0cyauZbFiGBfF2i5nQBAjgXRj+XIMMpwcMUY0fDjR9Oly\n5hkRBoKuXTGQHjtG9M03eH/kSAzSe/ZgH199pXyce0fP0MamTS2So2PZUYZWQBCjbEJyXBydGDXq\n7f2/ulVXmjIxgRgzLEh45w7qA7m6GhKPkyeh9vTubTopv34Nz1HBgnKF+6tX8XeDBlCN3NyQJq5S\nmSdFdetiEbR4sZzG/8kncqj92TOU9vDwwD6VcOsWjqVWo+q+UmsSW/DwIRRrjQaZdNlFRC5flsni\nF1+Yqnt5EefOZfcZ2A5BjAQyBEuW4CFXq+XV49ixcjYL9wEkJCD11ssLKtG0aRhUP/oI7//zD7bn\nShLH69fwJ40YFEn7Pv5EkRStqlXHIMNGIOsgiFHWIyo0lLZ16GDyHHxW/EcaNkzebv9+kJmyZQ3N\nvHfvIqOpUSOEsfTLaqSkIInCxUWuMn3rFjww1atDvfH0RP9Etdo8KapZEyRk1SrZUD10qKxW3b6N\nArFFi6LEhxJevIAvkSs8Sk1sbcG+fTCW+/rKTbCzGgkJaJFiZ4fxzLh1Ul7G//1fdp+B7RDESCDD\nwOuX6JOjyZORkssYyBMRMi+qVkUl2/v3sYLVL5Y2dCj2od8LSZJArjQaopbNtXRyygxaWaWKwYSw\n4FujvgUCWQZBjLIOkiTRjeBgWhUUZFY5vbl+09vGpxoN+hTyAqxEUCiqVAFZiohAdevq1RHSkiR4\nBTUauRXIgwco6lixIkhRoUKobq/RmCdFQUEwZG/YAFXY2FB9/jySLipUgKKlhKQkWVkZODBthmSd\nDokfKhX6utnSTDYuDuOQ/jVLLw4dwne1t0epkrT0bzPO0MstuHULY3pugSBGAhkKXtNErZbDan/+\nSfTZZ3iNp+M/eoSBNiDAdPDRatEHyN3dNF310CGsHkuXJjq65Bitb9SIVgYEUP/iYw1aCAhkLQQx\nyhrotFo6OnSo1SrWF/78k5KS0MtsxAjDCTUlBabnAgXwfA0dKoe/dTq56evSpdg+IgI1dUqWRG0y\nHx8YljUaIrXalBSpVFj4ODkhc23gQHkc4DhwAM937drmicqLF3Jj2enT03a9IiJAClUqkBFbicWA\nAQj5//df2o6rjxcvQDQZQxgvrfvU6WBgnzMn/eeU1fj8c6iTuQWCGAlkOHh6PmNYlTKGEFmPHhjk\n9uzBdjduYOXZsKGcmcLx8iVWsKVKmfZcu3cP1XednIiWzHxCx0b+QNUC4snfP/MLrwkoQxCjrMO5\nKVPMEqLgmnUpnD9gpFwYcPBgkJpt2+QmsTx0PWPGm/6FU/F3dDSeNR8fkJkSJWB8trMzJUVq9S+k\nViNE5OJCtHcvSgCoVEQLFsjHX7sWJut33zX/vN68CXWqUCEUO0wL/v0XYbPChXEutmLbNlyDuXPT\ndlwOSYISXqQI/FNz5qQvBZ/bFbIrDJhWPH6M33vy5Ow+E9shiJFApuDvv2VyFBCA/y5YgCrZzs7y\nw33qFAbRTp1Ms9Hu34f3oH59U19BfDzK8nPz4sWLMJb26WPeUHlz1Sp6nVbXpoBFCGKUddAmJdHs\nuv9nQooWvNODXlnJ9dYnPnXq4Nnbtg3v8fIb336LZyguDv4jT08QizJliIoXxySnRIo0GpAZd3f4\nmjp3BoFas0Y+/t9/4xi9eyu3CiJCqK5gQfiXbt1K/fWRJDSwtbPD+etX07aG589BAjt0SJ8xOzwc\n+2AMGYKWerzZgrg4XPvc5NPhmDQJ94Slli45DYIYCWQa/vpLJkeVK2NlumwZ2gF4eMBjQAQvkZ0d\nMlWMB6PTp0GkevQwXW1JEkJ3rVohBXflSvMrvYeH0StqXf36BitqgYyBIEZZh2fPiNo1uE/zK9V9\nS4pG1fmNkhLMMI032LEDz+CHHyIUXbSoXL9n/36oub174zlLTISi4+qKcFjFiiAMlkhRuXJIqjh8\nmKhlSyi6vM6QJKFEAGPIRjWnnCxZgvNo0SJtafQxMSAiPDSYmqaqkoQK/oUKpT3rTatF2M/VFWqV\nfmZgejB2LLIH09MHLrug1aa9tEJ2QRAjgUzFn3/K5KhSJTlDpU4deIV4GjBP+f/+e8PPP3kCUsQY\nKt4qQZ9MffEFBhBOuoiI7l17TvMCGhusrk/+8AMl61e4E0gXBDHKOoSEYNLd/MsuWlClETUvedRq\nS4jLl7Fqf+89ojZtEOLmCZznz+O9Nm2g4qSkgFw4OqL9T5UqIAtOTsqkyM4OIW9vb4S9GjRAaj1v\nepqSgnYiXKlSUmJ0OvRaY286yKelS/z58zCTFyggF49NDfgYtG5d6j9LhMm/bl25lltGPQoPHmBx\nOGpUxuwvu2BLZ4OcAkGMBDIdv/0mk6OKFbHqXLMG5mxfX3kVxDt065f451W0eThOqeO1PhISkCJc\ntixWj5Ik0dwWXyj6Mba0bUuRly9n2vfOTxDEKOOQHBdHcVZiL4mJKFLoZv+SBg+2vL8nT2Ccrl4d\nnp6ICLluTlgYlKDatfGeTgdFSaOBAlujBlQgc6TI3h6+o6JFEQKrXh1hsNOnsf/4eJAxjUY2cxvj\n9WsUfFWpiKZMSX0IS5KgEjs6oiXJ7dup+zwRwvYFCkAxSy3i40FaeHskpZYq6UGfPvAp5dZH6+JF\nXFeNJrvPxHYIYiSQJeA1TBhD3RInJ5CecuXw7/FjbDd8OAZI/fT97dvhhfD2BqmyVvvj9m0Mcl27\nEt1au85i9k5wtWp0de5c0uXWPNgcAkGMMgbPL16kLW3a0M7u3UlrzoRDRFu2yEVV69Qxn/odHw8V\no1gxTP76ePoUz16FCiBLkoTiqtwsXa8eQt4uLsqkyMEB+/XzgzpUsSL+5pmkUVHIwnJxMd+648kT\n2evUsCFCWalBXBx6tfF0fnNd6K3h6VOE8lMbvtu/H9fQwQFtVSz8ZGnCqVP4bvPmZex+MxuSRHTw\nIFRIxkDM05pZmB0QxEggyzBxokyOypXDYLhuHVSjwECktep0WCHZ26MgG8e5c1iVOjlhBWttVbh5\nM44z7ZdYOj5smEVytLZePXot2lOnC4IYpQ/apCS6MG0aBQcGvr0vF/X9XXHba9cwETOGMhjmyIBO\nh7YbLi6mvcBevoSyWqyYrNhyD9CMGSjC6uYGr4wSKXJygopRpgwmQD8/+JbCwrCvhw/xTBcsKDeM\nNsalS/hc8eJI52YMoTtbERoKhcbVFepWViIyEsoaY0RNmxJdv545x7l4EUkmuWXdptViwVu7Nq5N\n9er4bdISGs1OCGIkkKUYN04mR2XKYEW6bh3UoLp1MWAnJ6POipubYRn58HCE1NRqDKjWshyGD8e2\nI4ZLdHvLVlpTx7QB7cqAALq5YWvmful8AEGM0o6o69dpR9euJvflcv8qdOeQIau4eBGLA5UK7TUs\nYcwYbGdMNhITYY728JBNsTzcPXEikhmcnXkLDmVSVKgQFKK9exGK8/eXs79CQ6EQ+PnJHkJj7NiB\n/deogTR2/dZBtiA4GIQoICBjag3ZCknCRF+4MLL15s9PXwp+XkF8PMq0lCuH37J5czQXzq293wQx\nEshy/PijTI5KloQCtGoVBupmzfCQvXoFib1IEcOU3ZcvsQ2vrGtpJZKUBJWJMYTVnoTepz29ehlM\nPhOqfU06XS59enMQODFq164dderUiYKDg7P7lHI8dFotXZ03j1ZVq2ZWzdzYvDklvlkBLF8OH4tK\nZZgCrwTek2zKFKNj6tDB3tFRNkfPnSv3LOzQAe+5uyuTImdnEILAQJAbT08oT7xI48mTUImqVFHu\nEi9JyFZVq+E9On4cJKxnT9sm0YQEuWBk374IpWUV7t7Fgo0xpM2Lyh9Q+SdOxDitVkOh5P6y3AxB\njASyHJKE7DNOjkqUwAps2TIMkh07gvA8f45VadmyhoOQVovKtPb2kOAtDagPH2KQ12jgpbh4PoUu\nz5pFwYGBtLRGYzqwLQNr/udjCMUo9bi1Zo3VCtZ7+/Sh10+f0sOHuN8Zs+7VmDYN27Vsafhs6HuI\neCPZ4GD8PWgQ/D329vDnKZEiV1c8SzVrQoVydYWHiBu5d+zA8/vOO8penZQUHIen0j98iGe/dm3b\n+p/dvo1jOzrCc5NVakRKChJDXFyggvG6T/kZ4eGomO7qit/jiy/kBezJkyDuuVlJE8RIIFsgSWhV\nwMlR8eLwOyxahMG5Z08QoLt38XpQkGlWxqJF+Owff1g+1t69GPy5R2n+fKKI8xfosY0lZBNzU2Wy\nbIIgRqmHLjmZtnX9n3JDZKOkgNBQTMy9elkmBJMm4Znw8jJttTF5Mt6bPRt/b9sGBapPH6IPPsDi\nwdNTmRRxv1H9+gglOTrCWMsr1i9Zgs+ba/IaE4Pt7exAahISsK/ixW0rfrh5Mwhb2bJZ26X9/Hlk\nuqlURF9/DcU6P+PyZSh1dna4x374wbQzQcuWuGa5NYxGJIiRQDZCklBll5OjokURWps9G7Js//7Y\n5tIlDIotWphm34wciUFryxbLxxo3DtvxarR9+tjWPiR8925aW68ehW3YQFJuftIzGYIYpQ2nd96i\nJf6GzWB3dOlCUXrmnLg4hKYqVzZ/z2q1RF9+iXu7QAEyqWvEFxE//YS/Dx4EuenSheijj/BsmCNF\nHh5Qgpo0QbaaRoP0+qQkPJ9TpshGcOPq9URoEBsQgPPav9/wNWthl+RkqEuM4VwzYo1iy2McF4fj\najTo+3bqVPqPm1shSQi7tm+P38HPD6qk0r145gy2Wbs2688zIyGIkUC2QpKwEuPkqHBhrAp5OGDY\nMGxz5AgG8v/9zzBDQ6dDMTpXV6ILF8wfR6tFZ+0iRdCWwMfHeibJ49vRtLq+XBjyQP/+VuvL5FcI\nYpR6JCejZUUH78W4xwID6cKffxqk6UsSsp9cXJCNpoS4OLTUYQzb3bhh+P7WrZjgedj51CkYn1u1\nQgiEK0zmSJGDA56dv/4Cgfr4YxAgnQ5VrHnxVSXCceKE/EwbG7GtZVo9fIjrY2eHUFZGrUvGjJEX\nXUrYsweJIU5OKDOS2zKqMgpaLZp+162L3zgwEHYHS9eje3eUY8ktWXTmIIiRQLZDkuTVLmPIeKlU\nSU7vnzAB223cCCVp8GDDQe31a0i3vr6W+yJFRGCbd96xrVja1EYjTUIca2rXphsrV5KUmwPomQBB\njJRhqRYREcLAx49p6cTo0RShX679DRYswDOwbJny58PDiapVA3mws5MN1Rz//osJvmtXTFaXL4ME\nNWhANGQI9l2wIJFKZUqKPD0R1u7YETV6GMMiRqeDWtSrF4gSb0BrjOBgLGbeeQd+wdRg715kqvr6\nZmzT1AsXcJ3GjTN9LyICSjJjUKfT0qctvdi40bShdlYjIQGG/AoVcC2aNYN/zBoxvXsX98OcOVly\nmpkKQYwEcgQkSV698hVs1apym4C//sJ25lJ7Hz+GkbNmTXgpxoxRNv8dP46B8bvvLJ/Pvf2HLZpi\n9/TqRdHGS/N8DEGMDJHy+jWd//132v7ee5RiQ9VBnQ6qyL//yq9duABiMWCA+c+tW4dnhTGixYsN\n37t6Fe81aYLJ7tYtKKVBQbK/r1AhZVLk5QWV6f338azoq0IvX6KPmoODcshEkojGj5czx8wVn1SC\nViuHvd9919QnlR6kpGB8qFrVsBCjJKEqd6FCIImLF2ePP+bsWduq+2cWoqIwdvr44Pq//z7az9iK\nUaMQLs0LnZYEMRLIMdDp4FNgDA+mhwfqnHA1iQ/8fNCdP9/w8xcvIqRWpYqcoq8UB+etRyz5ks5N\nnWo1Y2hzq1akUzJV5EMIYiTj4ZEjtLlVq7f3yc4RlrMDnjwBCeC9xIhgVi5fHve/JV61eTOeldGj\nDV+/fx8LhapV4cu5fx/9zCpVkjNCLZEilQqKEE+N//1Nrclnz5BF5u4On5IxEhLQ/oEvXlJDMCIi\nELJTqfCMZ3Q45tdfoTjr+5rCwhBSZAzfNzvrvLZti98nq4eUBw9gWXBzAxH//HOimzdTt4/ERCh8\nQ4ZkzjlmNQQxEshR0OngYWAMg5ibG7JXPv4Yf69fj8F24ED8bUxutm7FwNq1Kz5brZpp80JJQvaM\npydMoObO4+GhQ7SxWTOzxCh89+7MuQi5EIIYEb1+9oyODh2qUKgxkC7svKL4mR074MHx8YG3hUju\n8l6ggFxJWgnnzsFT9P77huroixcouFiqFDK+nj3DhFuyJLq0myNFKtUvVLAg3v/kExAclUpuR3Hn\nDsiaj49hk2aOiAi09XBysl5nyRjHjyNsVriwYcX7jML165j0hw/H38nJMI07O+M67dyZ8cdMDY4d\nw3VP7XVLD65ehX/Nzg5j4fffm2aY2YoVK3D+mVUBPKshiJFAjoNOR9Svn0yOXFwQDujeHZ6H3bux\nmnz/fQzCxh6EP/+UM3BKl8Zga7xNdDQMlrVqmUr9R49Ccr9yhSgpNpZCfvzRZLIbU2GgKAyph/xM\njHQpKXR9xQqzldV5ppm+3yg+Xk46aN/eUKmYPt16e4yHD5HqXqeOoSfl9WuQE29vmLCjoxE68/GR\nlVZrpGjgQCwc7OxQeJUIamzRoiBGSu14rl3D81SkiGn4xZLvT5KgRmk08CJZ2jat0Omw7/LlcX3O\nnME1UauRFZvdoR9JwvhWvXrm1/6RJIxvHTvKNeT++CP9ZQiionJ/Jpo+BDESyJHQamVJXqMBAWrV\nCpOIszNWWAkJMAZ6emL1w8H9SnZ2yKpo0gSEytiDce4cfBKDBhm+fvEiUokdHNAqQaslenLiBG1+\n911aGRBAi/1rkrf9Q6vNbPMT8jMxenjYsh+N1yV6+oYxnD6N1HtHR5Ag/XDTyZO4b7/5xvzxXr1C\niM3PT26+TIQQTMeOCCefOoUJv2FD+Iy4edocKSpUCO8PHYo6NE5OaN5MRHToEMLatWoph5r27oW6\nFRhoqs6uXYvvyVuP6CM6Gin4jMHHlFnZX7wK+M6duK5qNYjRmTOZc7zUYu9enN/WTOxMpNOBaNev\nj2NVqQJfVUY3vc0rEMRIIMdCqyXq0QMPsp0diEr79mja6OEBYhMTg5VWiRKG3cOTk+FX8PREJk7/\n/tiH8Wp39mzsn6+MORISEHdXqUCs7twhSomPpwvTptHl+Uuofn1MbuaMpTqtlp6Y656ZB5GfiZEk\nSbSz98cWq1dH66U4TZ0KkmGcfv/8OchOgwaGJOHAAbkIolYLNcfNDQRePgeEv+zsoKgmJuL+d3UF\nKVKpoCJZIkUjR2LidHMDGSJC6NrBAYsSJVVh9mwsXNq1M830vHQJam+PHqZeo3PnkMLv6Wm9Bll6\ncf8+MllLlcKiaurUrPfxmIMkQfWrVy9zDN8JCfBiVqyI37hxYxBeUZLNMgQxEsjRSElB7SKVCqqP\nnR1WmbVrY6D/7z+smkuXhq8iMlL+bHQ0XitXDpPO5cum+5ckmC5dXZUbXh4+jAHVzQ2p03xAuXIF\n58IL5hnj5pt2D4cGDqRY42V0HkR+JkZERGd23qJl/lUNCNHS6vUpbP16k9IOWq2pOqLTwXzr7S0T\nfElCWFitlr0xvDEyV3M4uKF6xQo8M127QqmZMAHbW1OKxozBAqNgQbmY4T//4Lnr2dNUWdBqoS4x\nhuQIY6Lx4gVCa9WrG4aqJAmZpY6OeIbNefwyCk+foqo3YyCKSmHA7MTOnTg3XvgyoxAdjRpMRYvi\nN+zWDWqkgG0QxEggxyMlBQ82J0caDZo4BgbCsHnnDvwU3t5Y8eoPxLdv4/XGjc2rO69egUAFBir7\nDWJjiT79FANY9+4yORozBqtp4+7eT+5G0/IaDQ3CKGcnT87TrUXyMzFKSUE38T4+k9/+5iMqjaKo\nB5HWP/wGEyfi/uYG7Ph4uabOd9+BiMybp9wr7a+/5NY4Op1sqP3pJ/zXHCny9pa9eBWnCbkWAAAg\nAElEQVQrYhK9cgX3NzdpDxli6nt59QoFJdVqopkzla9Hq1Y47t27hp/j4fFBg1KXxp9aSBKqfXt5\n4TyWLcuZKklKSsb2Xnv4EOTZ3R1j02ef5R1DdFZCECOBXIHkZHTjVqnwwKvVGGTLlcO/x4/h3XB1\nRdsP/RX58eP4zIcfmh8cr12D7N+vn/lttm41LF6WkIAJpVEjw8njr3Y/K4ZU1tarR9cWLCBtZs4I\n2YS8TIyenjpF96ykLU2eTLRnSywta/MhVXE9SXv32r7/AwdwP48di7/v30eozdkZRRKJoCjY2cEY\nrX9/rlqFZ2L4cLlQqkoF0u7oqFy8UZ8UTZiAbLXSpZEBxxs0M4b0duNn4f59qEDu7uYzuYYNw+Ll\nwAH5tWvXsPhwdTUNW2c0bt4EUeV1lFJbXDI34to1ZO7yJsCjRhn6zwRSB0GMBHINkpJAelQqDPqM\ngez4+sJMGBmJFbedHfo/6Q/qPJ108mTz+1++XLk+kiUcOoTPcML04r9QWh4QaNGIu6llS4rVX0rn\nAeRFYhQTFkaHBw2ilQEBtK5+fUribeTN4OlTKBR9+qA2jC149AiZXC1bgpQcOYIsypIl5ZT40FB4\ncd591zBktW8fJsK+fUHMx4zBvThiBEgVssyUw2cqFVQqHx945R48ANHv2hWkxjhRgQhm5WLFEFq+\nolx9gNaswTn8+af82vLlWHRUqaIcrs4oJCfj+XZ0RBgvNeQ0t+L4cSwYGcM4+PvvtlX1F7AMQYwE\nchWSktClW58cffopwmV16sAgunIlXh81yvCzPDywbp3pfsPCkHI6YAD2q1SnxRw+/RRm8EePUNxv\nfaN3LBKjbR06kC6PNWDKS8ToZXg4nRg1ioIDDQnurG5TLX6uZ08QmJo1QQKspV6npMDYX7w4SNWu\nXSD1zZrJFZ+fP4ciGhCARAOOs2fhe2vbFoRg6lTc2199hddRDVuZFGk0MGR7eiK7LSICnpTGjUGo\nlEI7GzbgvXr1LNe6+e03ePYkCUSLq0/9+mVuWnxICIpZajQghtndViMzodOhsGfDhri2AQEIG2Z1\nhllm+8OyE4IYCeQ68IwblQppxYxhAPbwQMZafLxcy0jfjyFJmLycnAyr30oSBvyyZTHA1qiByciK\nQPAWUVFY9Xfrhr+TYmPpzOTJFFy1miIxCll2wPIOcyE4MWrXrh116tSJgnkMKBch7tEjChk7loKr\nKf9uy6tUp5f3laWgzZvl0hKVK9vW32vkSGzPyz68egXFg3PmxESQlcKFDSehW7fwWt26+Axvk9O/\nP8iOp6cpKWIMdYrs7RE+c3VFbZ+YGBD6qlVBpk6cMDxHSYKJlzFkl8XHW/9ekoSFRo0aWGTMn595\n/p6XL0EGVSqEH8+dy5zj5AQkJhItXIj7i2eYbduW+bWPlPDkCUi8uR5+uR2CGAnkSiQkwEegT46+\n+AKr2g4dsHriPZ70PQ0JCUiHLloUDTg57tzBQO7khNW3hweIjq0D+urVcsVgHu6IvXuXjnz9tcHk\nOrVq3zxZGDIvKEZ7+/a1Wo/o+LBhJp87cgSEgzG05rChNRpt24btp0xRfl+SECJzdDTsn/bkCQh8\npUpQk4KD8Qz07g2TsTlS5OWFff30E/7bpg1UlevXERorUcK0fEBSklyF/ocfbJ+AN26Ez6VcOfR7\nyyxs24byBi4uMJ6npIBYfvFFzjRapxUxMbhPihXDb925symBzWr8/DPG2ryaTyKIkUCuRXw8FCKV\nCg8pJ0f29ljdpqTAg2Rvb+g3ePYMk0G1aoa1WeLj4U1iDBOHUgaQOUgSzKWMYb/61X+fnT1Lu3v2\npJUBAbRroUKlOyPc2baNwnfvJl1GN4vKROQFYvTo+L8WSdHa+vUpdMkSkt7MutHRyK7ivf1sLdB3\n9y7UmffeM082Jk7EfvWFt9hYFCYsXhyFFLduheLUtSu8Qh4eyqTI0xPk4fvvsX23blAfTp0CmQoI\nMKwBRgS/XtOmSFqwVRVITkYlacZwDFsV19TiyROU8GAMoURu17tzBwubESMy57hZjcePsbjz8MDv\n0L9/5nq0bEVKCoh0//7ZfSaZB0GMBHI1Xr9GSIAxmRx9/jmyfPr3x6q3fXv4Ls6elT939SoGnA4d\nDJtVShLR3LkYiIoWhVxs6+osPBzngEJ6OI8XL/h+JYqwYfmckpBAGxo3futFCtuwwaCVRE5FXiBG\nOp1Ev1UzVY2CqwfRualTTczXf/yB31ulQgaXLUhMhBeudGmEYJXADczjxhl+rkULKDGXLyPjiys/\nJUogS8wcKXJ3R9aaSgXin5ICP5OLCzIq+T3KcfMmUYUKIE22Vnd/8ACeFzs7omnTMkex0elQssDT\nE6HE4GD5OJKEZ7lECeXG0TkF+/bJ/R7NITQUvkUHB4xRI0fKBT5zAnjYOC+HLQUxEsj1iItDeIyT\nI5UK9TsYQ+rwq1eob1S4sGHX6N27sYJW6gh9+jQGWTs7ECRbU36nT8fxv/0Wg5q3NzJ8bA1DLBsS\nbDIxb2zalK7Mnk0JkbbXxclq5HRipEtJoRfGsSIj7NpF1LjUGZkQVa1Gp8aPp9dPnihuHxcHtaVG\nDdsrKX/2GSY8fZKuj5AQqB69e8uTp1aLul2OjuhzFRICj1CTJnLxUSVSVKAASMSXX+JZ+Ppr3IfL\nluG+7tTJ1KR86BDUrMqVLTew1ceePbjPS5TIvBDP9ev4voyB3Bk/Cnyy3rAhc46fEZAkKH6tWyu/\nf+IEiteqVAibTZ2aMzPM3n0Xnsy8DEGMBPIEXr2CGZUxrITVatkfMWECBtLKlZHGqz/P8T5K//xj\nus/nz1E3xtsbK3NbyI1WC0WgShWEO3r1wv5btbL++eTEFJpTtbX5flvVq9OJ0aNzZB2knEqMEqOj\n6dqCBbSpZUtaFRRECW/kkcePQab1udKJEwjRbO01gE6OGUOvrOTcT5mC+8wcyTEG71fWvbvy+/fu\nwcTfsKHsU5IktLNQq4k2bUKbDS8v3GPly4MgKZEiTsr795c9QpKErDFjLxzHokUIO7dsad07kpSE\nMPTYsZjI27TJnHpBSUl4fh0c4Fk6oJC3EBeH8gbt2+dsb9GePaZVrnU6eKW46l25MgzWOfARJyKE\nLRkjWrIku88kcyGIkUCewcuXyEzh5MjOTq60O306Ql2+vihQpx8V+fprKEe7dyvvd88eDP4//2zb\neVy8KKdEE2Ewnz3b+ueOz9lq1fy7u0cP204ii5GTiJEkSfTszBk6MWoUra5Z07DL/fdziQjhCXd3\nZR+MLd6usDCok99+a8v5oHQEe9PEValDTGwsMsPKlJFT9Ylkr9HcuchG8/FBhfbKlXno2JQUubtD\n5eSk/LffMAEPG4a/v//ekEDodPL5DRhgWzNXXqJCrcZ9nhmZUSdOYIGh0eD8zGXEjRoFlS2ntfsw\nRvPmaIMiSSB8ixdDcWQMZHjLluzJMEsNJk3C2JqTw5UZAUGMBPIUYmMR2uDkyN6e6P338feiRShM\n5+mJWjF8Va7VYrXp4QHvkRLGjsUkcPCgbecxciRWuakpx39/717a1LqNRWJ0amEG9g/IQOQUYhS6\nZAltadvW7PX7x785RUUmk4eH3H/MHA4fVu7ALklQVUqVsl6bJyoK3hfGUHDR2M9DBOWmXTvcf/oK\n1vz5suJ5/z5UkfLlQYyQiWlKitzckKnFQzJz54Lo9OmDv2fMMDz269d4PlQqeKZsUVwmTMB5ubsr\nKzjpRWwsTO0qFVTgSxbyFa5dwwJowoSMP4+MxKlTuGbLlqEIo68v/n7vPdtKO+QUTJ6M0GxehyBG\nAnkOMTHIDOPkyNGRqGNHEJt16+DTcHJCSIOLAy9fYsVeujSy1oyh1SIcVqSIbUbI+HhI/02bpk7e\n16Wk0N3t22l75y4mk/q8Kk0o/pVlI3bs3bv04r//3mZOZRVyCjE6Pny4VdVt5sCdZG+PvlJKuHUL\nmV68NpAxlizBe7t2WT6XU6dAnhwc8M9cteivvoIqop85uWUL7tdBg1BQsWJFEB5eG0iJFLm44P5t\n0wZkITgYK/s2bbBAWLPG8LiPH0PBcHGxrcO9JIHwM4Ywnbnrlx5s2gTS4OqKHnDWxLu7d6Fy5dTQ\nE0f79giBFiiA3+Ljj03LIwjkHAhiJJAnER2NlTUnRy4uIDb29pjQNm/GxDN4sExcwsMRqmjQQLkW\nzbNnSJVu0gSr/MREw7CHMfbvx/EXLLB+vsbKkiRJtH/uMRruN1CuvNxzltX9hIwdSysDAmhru3Z0\ncfp0irxyxaS7e2YgpxCjsH0nrBKjEeW/pY8/Nv3ss2foGG9vDyPxihWmoY2ICITDevWyfB6LF2M/\nZcrgHli6VHm7v//G+/qh1uPHQdzffx/euKAg3Jd16vB6SaakyNkZmWSNG4M4bduGc61TB8qOcff2\nixfxHX19bavyHhWFxQVjUFyVlK/04NEjmYx26GBYYyw34/p1ubSAkxNUSlvbxQhkHwQxEsiziIqS\nq8Q6OyN7h7c9OHpU7lauL8OfOoUB7IMPlJWeo0exuh85EobWYsWQgmsOH32EicRSG4X//pMNrMah\nm0aNiNrVu0dnJ0+muGcWWBgRJcUn08raDU2IwIbGjenE6NF0b9cuSsok4pKZxEin1VLE+fN0cfp0\nurtjh8VttSk6ml2llSIh2v9Jf1oy5hCpmNZgtR4VBd+NqyvCWT//bL6lRJ8+CIlZIsRESHPv0wf3\nkrl6L7t2gZwPHSq/dvWqHOqNjIT3xNMTZN3OTpkUOTmhhlbt2rjHDx6EklKxIhRO47TqbduwXc2a\ntqk+Z89CiXJ0xDmkpl2ONeh0IIUeHiB/a9bkbAO1rTh5EkRPpcKizN3d8hggkLMgiJFAnkZkJCYI\nTo48PbGK9vDAhMEzhebNkz+zbh1e++kn5X3yvlRLlkCFYm8adyqVG4qMRJmA//s/8+eo0xGtXSuT\nuK5d5bDLli14zRYfwpZpx6yqJTdtbG1+9OhR6tSpExUvXpxUKhVtsRJryUhipE1Komdnz9LVefPo\n4IABtLZu3bfnf8BKVbnBg4m6ec96u/3qeg3p7C+/UMytW6TTgUB06iRvn5QEFdDFBSZeSxUReFaR\nUoNVY8TGQsEJClI2DV+5gsmyY0c5XKSfHPDsGdK6eesOjUaZFDk6ImwcGIhQzalT8OQUK4ZQrn7K\nvSShxpBajerJ1vxRkoRsTQcHVNs2VrbSi2vXQPx5yNJcXafcAp2OaPt2LL4Yw7gzfz5ClidPZvfZ\nCaQGghgJ5Hk8fw7TKidHBQtiMvH2xuCsnw7NMWkStl+50nR/kgTTpJcXMmGmTsVKunZtwzpJHCtW\nYF9KzTn1odUi5FKmDFaavXphkvP3x/Gs4YcaP1glRq+sSAQxt29T3OPHtHPnTvrxxx9p8+bNpFar\ns4wYhe/ZQ6uCgsye/7Iq1Sn6mfkZffduouA5j2h//88pfPdug+KY5kjmli2GJRyUEBcH1aRlS+uK\nhiQhfOLhAb+SMZ4+Na28zstJlC4No3XXriAkTZrg3lQiRfb2UH3Kl0cW2pUraE9SoAC8SPoKRXIy\nqsJzEm8tuvrqFVRTxvB8NG2KPoMZoeYkJmLRYW8P8nD4cPr3mZ1ISsIiqUoVXK/69TGW5PQMMwHz\nEMRIIF8gIkJe9To5QbavWBFqwa1bMGLzAnpEmAD69cPkpKTWREVhEqtdGwP9mTNyXZklSwwnEElC\nmMzPz7AFiTkkJaExaIkScvNOxhByMwdJp6NVDVtYJEXT/TtRQgKUEXMr2IOffw6lpWZN2v7ee3R4\n0CBSqVQ0a8gQurN1q1lixYlRTHQ0pSQkUFJsLMVHRFDMrVv09PRpCt+zh26uXk3PrBT9eX7pklVy\ndzKNTXgbNUJoKi0YNgz3jRLRMcaMGeaLDcbHY+IsWlRuwxEXJxcgvX4dPdI0GoTTVCplUmRnh4yt\nEiVAsm7dwvEcHVEhW5+fRkdDfbKzg4JhDVeugKS5uaEHIBHu8YxI0T56FPu2s0Mo2pa+cjkVL18i\nk48/px064PvlhVBgfocgRgL5BnylzslR8eL4u2xZ9Flq3hyhtsuXsT3vbu7trVwj5exZEKfBg/H3\ny5fozcYL6unjzh2Ea77+2vbz5SvRCxdwrp98Ynn7lNev6d6uXXRw8Ne0sloNU1Lx6W8kSSCFo0Yp\n72N1w6Ymn1MxRt/6+dHKgAC6Y0b24sToyIQJlssN6Pe5UMDrmNe03L9KuvZhDJ0OjVgZg+k+tTh3\nDqrN5Mnya5KkTFRDQqCE6PuG9M+jRw+oltxLlpyMCdXVFdXWBw/GeTZvjv8qkSKNBgSvSBGQjAcP\nEOJSqxGy1c/QunMHiqOnp22p9cuW4T4NDExdqQlriI5G9hhXVMxl6OUGPH0KT5qnJwhev365+/sI\nmELNBATyCXx8GAsJYczPj7HERMZevGBMkhhLSGCsUyfGFi5krHRpxtq2ZSw8nDFHR8Y2bmSsQAHG\nOnZkLCbGcH+1ajE2fTpjs2Yxtno1Y+7ujC1ZwtiaNYz17Gm4bZkyjE2YwNjMmYydPm3b+To4MPbh\nh4wFBTE2dChjy5cz9vix+e3tXFxYqbZtWfO//2L/F/Ivazp7NqvQ8wNm5+3LGGOs7geNmUrFWNOm\njB05Yvr5hzcimS7mucVz0jl4WXxfbW9v8f2wsw8tvh8b78LinUqbfV/l4Gzx8xxEjB0+zNj//R9j\nH33E2JQpjPn743dODbRaxj77jLHAQMaGD8drT57gfqhdm7HnepfrxQscr1YtHM8Y48bh3li+HJ8l\nwr737mVs0ybGNm/GvdSsGWOHDjHG2K+MsdF6e/iFqVSjWIMGjP33H2O+vvgdFy5kbOBAxgYPZmzV\nKty3jDF24gRj9eoxlpyM+75FC/PfMyEB59KvH2P/+x9jp04xVqlS6q6VEogY27CBsYAAxoKDcf8f\nP47rmZZ9zZ7NWHR0+s8rLbh1i7EvvmCsVCnGZsxg7JNPGLtzh7GlS9P2fXILZsxg7OTJ7D6LLEZ2\nMzMBgazGo0dygTVHR4TEChWSPUJlyhBVqiS3OLh+HavD1q1NqwJLErwYbm7WV9gpKfCEVK1qW3Vh\nfcTGwrOi1Dn88WPLn5UkiWJu337rt/n7b6x0jTOvfh1wXFGh0VeMTmxUjuc9eQLFaGrX3y2qPX8H\ntLF4rp99RvSl77C32y/1r06buvam83/8SY+PH7faDiUmBqEsf3/8vpUqoTgnL/CZWvz+O8JZp07h\n77Vr4VHz8YHRlkOnQ5HGQoVMO9UTES1fjnP45Rf5NV4TKDgY7UUYQ/jMnFLEGLw+vPlrZCQaFTMG\nNUs/hLNyJe7tJk0sG8qJEIYLCoKKunBh6q+ROTx4AG8cL2SY3jT17dvTrvqlB6dPy0UwixSB/zC3\nG8VtRVQUVPE//sjuM8laCGIkkC/x8CEydxjDg1++PIhH06YIpRUuDA8Hz9w5eBBk4osvTD0EL19i\nAg4MNJ/mzXHuHPwj+hOkrVBqY/HiBSa0xo0x+driA7lyxbRnExHRzN4LrRKj6PvKLuUjR0CMXB3c\nqYBGQ6UdHammmxvVdHOjwb6+8v4Cq5LOQsfVe/eILq3dR1fmzKGmZc7QN19ZN6FIEjxTAwbIrWC6\nd8dvJkkIQRYvrpw1aAk8/DlkCCYI3mKje3fTvmCTJ2PiVCr6eOwY7rGPP5bvnWnTsK9p0+AnY0zO\nZjJHipo3x35atwbZ6dYN4TN9MiNJMDYzhrCutcKHGzbgvq9QAbWNMgJaLci3uzueMWvd5G1BcjKe\nsebNs8bDI0lEO3fKRLV8eVQRz82eqLRg/nzc17YUtc1LEMRIIN/i/n2YYBmTM2RcXOD5OHkSKlDb\ntrK6s2CBPJkZ4+pVfPajj6wfd/hw2428+nj8GBPjr7/KryUnQ8XgA7iLCybwHTvMq1I6HZSNH380\nfD3u0SO6s20bXZwxg/YOHkFr2n1Ay2u9Y0CMzCk2nBi18pptPTPOBung3j18H/1MQXMID8e2vr5E\n48cbDuKPHuG3nTrV+n70oW+YX7UKE7ynJ5QY44n50CEQFGNfGRG8ad7eINycmAUH43xHjsT/q1Tw\nDFkjRRoNstWePsX+nJwMK1YnJMiZZJMmWSYQSUnwQXGil1Hlp65cgYeIMahZ1prR2oqZM3GdLlzI\nmP2ZQ3IyFhhVq+I71KkDYmdD+7y3CA9XbiWTG9GsGTIx8xsEMRLI1wgPhzzOyZG/P8hHjx5Y/dvb\nI0uIp96OGIEBWsmDvGwZ9mMtHPHbbyBkLVqkfvXbvz8maSV+cvcuJsSAALltw9dfKx+ja1dMruYQ\nFxdHFy9epAsXLpBKpaJffvyRDq1dS/eV4kQkE6PN/xylc39Mo8uzZtHVefPo5qpVFL57Nz09dYqi\nb96k+OfPbWpXsnQpvoO1MBDH6dPKk9eIEVBEUjvx8xILs2bhvx07KoeCnjxBWK15c9PjR0fDHF2+\nvPw99uzBPfXhhyA1Gg2USWukiDGYfMPDkebv5WWYLfnsGYpAOjmBKFvC/fvY1t4ebTf0f44TJ0Dw\nLIh6ikhIIBozBmpd5cpQyTIKsbEg8taSD9KDV6+w4PHzw7Vu1w5lBNKiTg0ZgmcvtQplTsODBxjr\n0hKCzu0QxEgg3+PuXQxkjGFg5x29+/eXV/fc26PToUGnq6ty6KF/f0xO5sISOh1CIZgIMfGmBtev\nY7Cy1GZEkrCyHj7cfGHJadPgQTEXGjh8+DCpVCpSq9UG/z5W6qVBMjE6ciRjpIdPP0VoMikJGWVp\nQUwMwjkjR6buc8+f437g1y4kRHmCTEnBirpoUdM6SMnJKP7p5UV04wZeO3MG90379iBIjo5yw2Nz\npIgrgV9+SRQaiizKEiUMmx1fvQqfnI+P7IUyh127QDL8/PC99BETg/00aJA6YnT4MNRWe3uiceMy\nvm/Z+PG4VpnRSuPZMxBBLy88+337Wm5aaw1xcagjZS7rMzdh6lRcd/3QfX6BIEYCAoSQR6FCmIQ0\nGrnP2rffyn4QbkCMi4OJukQJU+NzfDyMrOXLm1cpdDr4Suzs5BVZalamXbrAb5GeAnLnz+M7HT6c\nMc1AM4oYvX6N0FShQugm7+6O80zLOU6ZAvXPmjndGP36IWxmrejj998jhGZcoFCS4Heyt8d3IYKp\nv3BhhJkOHQJB4veYOVLEPUdjxoDEeHtD0dQX7XbvhiJWtarl/mJaLQiASgU1xFiJkyQUcPTwwELB\nFkRFgcAyBjO4pTpbacWLFzgnpfIH6UFYGNHAgVjEuLpi/xnRn417cmy9hjkZQUEIs+ZHCGIkIPAG\nt25h5cgYJjzuMxg/HitAxhBiIZIz22rXNjVc37qFwbx7d8uE5+JF3hQUvialWklKOHHCdv+NOWi1\nWNkOGYJ9lSoFf8rkyQjxhIWljnilhxhFRUERqVuX9wPDv+rVERq8cCH1IY3ERIQcP/00dZ/bt8+2\nxr88Q0rJRP/HH4ZZcI8fI9OxcmVUpvbyArG1RIq452jqVJAfV1eQKn1C888/IPEdOlguHPr0KcK2\najWup9LvysPAtnSMkSQUfvTxwX0+Z07mVXmeORPf/dmzjNnfmTNQAtVqENWJEzOuIa4kQQHs0CFj\n9pedCAvD/bB+fXafSfZAECMBAT3cvAnCwMkRX9VPm4asIjs7TFREUF1cXJAdZDwxbNiAz/31l+Xj\nLVki+4GcnMx3YTdG48YIeaQnQ6dDB4Rq1q8n+uYbTMYeHjIxcXaGMmYtNTkmhmjbNhCjTZti6e5d\nqAfnz6MSsDUjakICfFG9emGy//VXHN+aYmMJCxZg5R4aan1bfpzXr1Hss2lTy9f13j2Qm44dTX/3\nrVtxXB6+i4kBwfP1hbLk44NjmGvzwRgIokoFwrFiBe65Dh1kAq7VyoR2yBDLxuAjR0AQfXyQpaeE\n+/fxu/fubf1ahYfjXBjDfZ/Z2UqSpNxmJ7X72L0b5JAx9JCbPVu5h116EBKC/Vvpc5wr8OQJmmvb\nUqk/L0IQIwEBI1y/LodwGJN7IM2bZ1ilmAjqikql7CkYOhSKkLGXQx+SBM9RyZLY3rgTujls24Zz\n4i1M0oKpU0Hs9E2ikoSw1Z49RH/+Cc+UNb9J375EjMW+mdxj3143/i+1K+gvvoBnJa3Q6aDIdO5s\nebsnT4j69EH24ePHIDOOjpbrUSUlgbiUKmWqNFy4gHuDE+WEBBBPT08oUSVLIvxqriEsY1AcNBp4\n27jy9NFHcobhy5e4nhoNSKSla/Drr9iuaVPz4USdDllHJUpYziDTaommT8f38/VNn1qZVUhORhZh\n9eq4jrVro0F0ajLMUoN+/eDRyqz9C2QdBDESEFDAf/9hwuSTu78/VvnLlyOk4e0tm2p//125gGBS\nErb187OcXXX7NtSZb76x/fx0Oqgs+p3iUwu+wj1xIu37IAKZmzABxOiXX2Jp715kJZ09C8UmteZN\nf394dNKKTZssf6/4eISU3NzgZVq4UK4vNXGi5X1/9RV8S5wYcxiHVrVahFKdnKAiVawI1QahU2VS\nFBgIYrZ5M8z+jBGNHi2rVzwjzcNDVi2V8OIF1Cz+eUvElvd127fP/DaXLskq1uDBGZfan1mIi4NS\ny9v/tG2LdiiZWf8oMhK/nX4pDYHcC0GMBATM4OpVrJA5OapUCRPbmjWYvEuXxkpcklCx2d7e1Ih7\n/z4m33btLPswpkwB8bLSY9UAixfjvPQzlFKD5GR8v7QUmzRGRpmvIyIMvVyphSQhxNi4sfJ7q1Zh\nwrSzAxGNigKJqV0byqClFOu1a3Fuf/9t+HpcHFGtWrIZX5JAINRqKBZBQbgHnJyIVCpTUqRW495y\ncyPau5crcIb1sk6dArEqVcry7336NLYpWNC2kM758ygfoYT4eCihPFMzvQQ6sxERgdpcBQuC5Pbu\nnXFFK63hyRP45CIisuZ4ApkLQYwEBCzg8mWEmzg5Kl8e6s66dVAIqlWDIpKcjGpH6D0AACAASURB\nVJCEfno2x65dWG1PmmT+OMnJkPyDgsyv8OPjDVOhk5JwDh9+mPbv9+67IG3pRUYRI+7NSmtq9rFj\n+PzWrYavnz8PwsQYQmz6vpXp0/H7WJr4b9xAeLVHD0PlQadDTSj98g0//ywTKO7bcnY2JUUq1S9k\nZwdjtpcXstXatQPBDg6Wj7FuHUhVgwbmTciShOM5OEDduXcvVZfNBAcO4F53cMD3yck1eW7fJho0\nCNeIVypP7/cXyN8QxEhAwAouXsTExslRmTKYJNesgX+kaVP4SXhBvwoVTP0nP/wABcGcAZYIJmW1\n2nyV5vHj4VNZsEAmT7//jok0rURi4kR8l9QW9DNGRhGjr76COTmt6NgRIUZjdW7vXhBP4w7z9+6B\n1AwebH6f8fEgwJUqmZpRv/sOpIoTsXnzcI+MGwfvmIsL9q9EiuztoTL5+MAkXbeurBoRgexMnoz9\nffCB+ZpTL18i1Z4xFPRMD4mJjISniTH0WbPW/y87cfYsiKpajdD2hAm2FwQVELAEQYwEBGzA+fNY\nkXJyVLIkwiPLl+P1bt0QkgkLw+v6LSCI8F6LFpgELdXV+eYbkLCwMNP3QkORasyVq5UroVYVKEA0\nbFjavhdXWNLbwiCjiFG1asj+SwuuXsV3WbzY9D1JMiVLkoRii76+ln0zn3yC3+TKFcPXjVvEbNqE\nSXrQIKhIDg4gnUqkyMlJDo0dPgzSVbiwHEpNSoISyBh6n5nzx1y5gs+6u1uveG0JkoT7qXBhkP35\n8zMvBT89kCQkBrRsiWtTtiyKpFrrUSggkBoIYiQgYCPOnIHBkpOj4sXxb948TIi8waxS01Ai1JMp\nVgykyZxC8+oVJsvWrc1PhhcuyObagAD8v7t72vpSJSaC2KW3e3ZGEKOoKKgvSsTGFnz0EUiOrYrJ\nqlW4hpa6tXMf15Ilhq8bNxU+ehTXsXt3ZLppNCCsSqTI2Rk+mEqVoA4VLw4Vkof3IiOh1jg4WPZa\nLVkCwlatmmn4NjW4excGZcZAvNNTJiG9+PFH5e+ckoLwYlAQzrNmTSi26VU6BQSUIIiRgEAqEBIi\nF2VkDH3WypaVM9PGj8d2y5fjb+MslSNHMGmOHm3+GDt34rPLllk+l5MnZYLEmNy2JLVo3pzovffS\n9lmOjCBGW7bge9y5k7rPSRLUEnt780ZiY7x4gd/u/ffNb3P5MoiHcZHI69fhCWrdGt6wy5ehsjRv\nDqLEGN5XIkWuriCxQUH4vgUK4P85Gbl+HWqgt7dhLzR9xMfLFac/+STt9XhSUnDfurggc1Kp/19W\n4sED098wLg5FHkuXxvd9912i/fszN8MsP2PIEChy+R2CGAkIpBInThhWaC5UCMrN99/j7zlzsN0P\nP+DvDRsMP88LGG7fbv4YH3yAyfH5c+vnc/kyVAMfH/M+FEv46SdM5OkJnWQEMfr2W0zQtk56iYlQ\nF3gTVhcX21PJP/kEpMRcgcLYWKTYV69uSDwiI0Fc/P2h0N27B8UnKAjhTMagBhmn5KtUv5C7O4hW\nw4Y4b0dHkCl+zgcP4nfw9zdfBf3mTZyTs3PqlTX93/fcOaguKhV8STmhkN+33+I3iY3FfT9uHJ4t\ntRrPw4UL2X2GeRtPnuD+tbXIbF6GIEYCAmnA8eO8UB/+eXhgohkwAAP5hg2YiHr0wCSm7+HR6aD0\neHmZz555+hTv9+1r2/ncuIFJbu7c1H+XgwfxHdKT2pwRxKh2bYShrOHOHRRj5I1/mzTBNba1WSz/\nvpzAGkOS8Lu5uxtmryUm4lje3iAuz58jHFamjEyC0W/PlBQVKAA1pHVr1A5SqxF241mGCxeCbLdu\nbT4kun49zqlCBZDh1ECrxbnPnInmwhoNWt5YKj6alXjxAsbzQYOQ9u7sjH9ffpl6BVEgbVi0CGOI\nKDkgiJGAQJpx+LBMjtRqZB81bozwjKMj3o+PR5HHokUNm3++eAEvUd265j0xixZh37ZK2926QeVQ\nqrwbF2e+tUJ8PCbtGTNsO44SODFq2LAdderUiYL1881tQGwsruG8eea32buXqE0bDN6enqgUfv06\nMrccHGzzxsTHg1i88455hWzmTFz3devk1yQJZmgHB5DiuDj8doULI3xqiRR5eeE+6dqVaOxYbDt4\nMH4nnQ6ZbYwRff65XOFaH0lJcguQ//0vbQUW//xT9sU5OuKaKR0ruzBwIH5/jQbXcdw429TS7MSK\nFcgGzCuVrrt1Q0kIAUGMBATShYMHed8rDOqOjvBBNGuGsMClS1B/SpVCCOTVK/mzp09jov3qK+V9\nSxJCLWXK2JZ1wytZG4fuiGTPU506qNtjHEJq1Miy38Ya0qsYcV+VJRPx/PkgngsXytcjIQEhxM8+\ns+04Y8bgmpvrBH/qFEjikCGGr/O0+RUrQCjatYPCMXGieVLE2C9vwmpQ/rj/6Oef8dvGxYEsqVQg\nLkohxPBwEGtOXNPirTl9WibwLVqkv/dYRkGS4BfiPczc3UFKc0uGWYsW+JcXkJQk388CghgJCKQb\n+/bJ5MjODpNYly7oe1WsGLJ+rlzBwN+xo+EK8++/8TlzqdY3b4Js2WqsbtKEqF490wk0Ph7H6NxZ\nNo/XqIEsoJAQmMELF067qTW9xGjUKKhqlo6v9N68eSAWtmRlXbmC32fcOOX3IyNRhqFePUMVb906\nXK+xY6Hw9O2Lazh+PH53c6QIr4MQvf8+tp0/H/t89AjVsl1dTYtRcuzcCb9SyZJpC3lJEjLX7O1x\n7Nmzc4ZpOSWFaPVqhJ4ZQy0nW3/DnIKHD3HOCxdm95lkDPbtS384XQmShDIjc+agSXRugSBGAgIZ\ngN27MVAyholIo4FhtGxZhLciIlABW61GCIhDkpAi7eZmfmKYPBn7O3/e+nls345zOHLE/DZRUahZ\n06sXfEyMwRDMmHklxRrSQowkCV6dpUuh+tSokbpjarW4tt262bZtvXowNutXD+fQ6dCctWBBqDQc\np04hDb9nT5wv72HGlSdrpGj4cJRncHKSywKcP4+yAiVKKBuKtVrsnzGck3GxUFsQFkbUqpXsgVuz\nJvX7yGi8fo2aQ2XL4pxatUJ4tGFDXN/chN9/x4IltX0AcyqGDMH9mF7irNPB/zZzJjx0RYrIanrd\nuhlzrlkBQYwEBDIIO3bI5MjBAf/9+GMMDnXrIozG/SuzZ8ufe/kSE3zVqsphhORkvFerlvW6LZKE\nZqTt29t2zikpqLu0YwcGL/3z0kdCAsKCz58rD562EKMr/8/eWcc3db1//EnaUqOKu7vr8ALDx2DY\nkKHDhtt32Bgy3IeODR2wwZBh25BhRYa7DHenUNpSb/P8/vj8zm7aSJMmaZJy3q9XX22Sm3PPvbnN\n+dxHr2BhHDAArsYsWZSFmwhuJXP4/Xe8zxRrijjvR4/qf336dLyu3V/s4UMIturVcfyi2/2wYciA\ng6jUFUUiKHzcOLhP/f2V/e7YAStRpUr6M+KeP4f7VK3GnMzNFIyPR989T09k+Pn52V90hISgKnWW\nLDiuDh2QFSeIiXG+gN8KFSxzPTsaxYqlrnFzQgI+y3nzYI0WrmM3N7jnx4zBTaMjZD2agxRGEokV\nEbV4iJRikH36wCLUuDFEzsCBECHaQdWiZo6hqs8nT0J0mVKI8eefsd/klZpTompVWLn0ceGCclwZ\nMiBmqkIF3O3Xr89crVrKwmjoULiySpZEEPHEibBwif5o5sxXo4EFqE6dlLd99Ajn/6uv9L9++DAW\n7LFjlefCw1ECIX9+9Cdbvx5z7NkTYsPf37il6LvvEBuWKxeOS6OBlUGlgoXr/Xv988ieHT/JmxGb\nwpkzKBugViP1vXdvuG8NlSSwNQ8ewBLh5YVru39/w2UInInr1/EZ//67vWdiHTQaZLOa0iQ4Lg71\n02bOxM2Xry/OhYcHbnYmTEDcZWprazkKUhhJJFZGWDLEF4aIM3FzQzp6bCyCd319ma9dU963Zg22\nXbVK/7iDB2ORuX/f+P7j4mAt6NrVvHl//TWylvRZhCIjIc5+/x1xUWPHYqHr0QMWgJo1UxZGoaH6\nM/DGjYNLyhzrSHCwroVHHxoN86efItZLn9vj+XMIkbp1FWtcQgJcWL6+aDOyZw8EXevWsP75+RkO\ntFarEcCaJQvuwh8+xOfRpw/mO2qU7nEmJsI65OICa5G5lacjImDFUqshjERpiBMnUN07rbl0CZ3t\nXVxgQRg/3vksQsYYNw7XQGpqhjkbMTGo6j55MlyfoqG2tzdKS0yZAmuoPve0MyOFkURiA377TRFH\nogFt376wGIwYgZTr0qUVi4SgZ0+IqUuXdMcMD0ccQJMmKccCzJuHxVy7REBKiPik27dNf4/AkuDr\nOnUQrG4On3yC85fSeRCB0/oy9RISIESyZ08qRoYMwaK+Zw8yury90ZsrTx5xh6wrigICYEmbNAnb\nf/QR3I6hoVhQXF31C943b3AsIm7J3NTvv/6C9c7TE3fx9krB12hgKRCtRfLlY16wQL9lzNkpXdr8\nmw5nITISjZbHj0dsnLB6+/rCQjRzJm6QHKnUgy2QwkgisRGiF5cQR2o1LCxEaHvw4EHSGBZmmKDL\nlUOtHX31anbuxPtTKhMUHg53z7Bhps83NDT1mTapFUbR0fjyFY1YTeHKFdNaprx9C9FjSHR98w0+\nk0OHlOeWLMHYS5YgGD5zZsQDFS4Md5w+UeTvDzH0zTewCjZrBkFw5w5z8eKIRdLeh+DUKQiIwEAI\nHHN48QKWOhHErK/pcFqQkADxWaUK5lKuHAL70/PCefeu45Q8sJTwcNwAjBkDt7jIWA0MxP/NvHmI\nIUovtZpMRQojicSGrF2riCMvL3zxfP65srCfPAkLUceOivXj1i3EhrRrp98i0q4dXDUhIcb3PXYs\nFvO3b02fb4UKqbsbTq0wEi4xUzLuBF27wnKW0uLbpw/O45Mnuq+JuknTpinP7dkDS9HgwYjLyZcP\nQfGlSgmrn64oEvFGQ4divG7dMK+jR+EeLFJEN9tQo0EwuJsbLEvaWXApodHA8hQQgPHXrrVPCn5U\nFAL1CxXCcderh6xLRygHIDFMaChurv73P4hZUd8qa1Z8ryxahHhHS9oDpQekMJJIbIzo0C7Ekbs7\nrAqurlhMhNtNu77Oli14Tl816mfPEOPQvbvx/b54gX1NnWr6XIcOhSAwl9QKo+++w7GYekf66BHO\n27x5xrc7ckSx/CTn4UPcETdrpiwAV6/CXSDS48uWRbxVxYrCnaArinx8sKB8+aUSP6TRoJhmhgxw\nRSQXr2FhijAeMsRw1XN93LoFAUKEWDV7xO28eYO4kqxZYW1r1w7uRolj8vo13MiDByP+TGTN5sqF\nch3LlqHOkBS0SZHCSCJJA5YvTyqOvL3RlsLLC1ajyZN1XWRDhsCqoC8d/aefsP2BA8b327cvFjFT\nA0W3bcO4hnq4GSK1wujjj1H00lSGD4eFRruCeHJiYhD4XL267p1vbCysNHnzKqLl5UvEepUtC7ER\nFIR9iIrT+kSRtzdijlq1wvkSlau//RaPu3fXFT2XLsGC5OOTtN1ISsTFwbLl7o5MN3t0P3/4EKLZ\n2xvz6Ns3dbFozAgO37lTLsa24PlzFM/s3x+WTvGdU6AArJmrVsEVKM+9caQwkkjSiGXLksYcBQTg\nLi5TJty1demCRef4cWwfG4vFWXsRFyQmoj1GoULGU2Nv3zavuWxICOZnboft1Aij2FgIw1mzTNv+\n7Vu4Br/5xvh248dD0Fy9qvuaEJunTuFxdDQEVLZsaFbaujU+gzp1hJtBVxR5eiLmqH59WK/Wr8dn\n0L49zt306boLz6pVcJmWLWtefMrJk6hh5eKCrMG0Dma+fBnXpasrrtdx42CJtISWLXEe5OJsOY8e\nwULZqxfcvuL7pUgRPLdunXkJGBIghZFEkoaIFiBCHGXNikU2Xz4szLVrI35IdBTX5/YR/PsvXDZj\nxhjfZ9u22Iep7qrSpZEdZw4bN4YzUUG9wigmBtaS5MUp//kH50GIlJSYOhWixdjCfO0ahM+33+q+\nJjLUhHtSo0EAs4cHBMhXX8E9VK+ecDnoiiJ3d5wf0c5j717Mp1o1fJ5btiTdZ2SkEnDfq5fp9V3C\nw+H+UKngzkspBmv3bliVrBEkq9GgjlLTpph3njywiBmz0pnKo0dKexKJeYhK8atWwfqTP7/yXVKq\nFKxEv/0GV7spJCYiizK9BJJbEymMJJI0Zv78pHWOcudGnZ0yZZBdVKgQiiCKujv6AoUF330Ha4K+\n9H7B6dN4f/JF2xADBuCOMyU0GsTw1KjBrFJpmOhMEmH0/DlcLj4+EHDJv4CnT4e4MCWDKToaItJQ\nkUZmfNHXqIE75+SuQ30B7aLT/ebNWCBEEDE+G11R5OYGkVKkCLLVTp9Ghly+fMh+Sx5rc/MmPlNP\nT9SoMpVduyBGvLxQFDKlaudxcXAd1q9vmRUmIQHXSNWqOAdlysDiYM0Ms/Hj8Tk4WyVke5C8z1iu\nXPhcVCpYmocMQV2x169TN/7Vq6a54z9EpDCSSOzA7NlJK2QXLIi4ltq1UWXa35+5USNlURw7Vje1\nnBnuqJIlsZgZsxbUq4csFFMWThEMbqxickgIKnkvWIAFNEMGDROV/k8Y7dqFoolz5kC4jRqlO0aT\nJjhGU1i2DMdvLK5l6VLMO3nV6KgouG60SyCIStbTpikuzqAgw6JIrYbLLUcO3KnfvAkrjY8PUtST\nuys2bcJrxYrBHWUKz58rgdmNGytWw5RYuBCLZWobgEZHw9VapAj2XbcuxLi1XV0aDa5zc62RjkBa\nuP2M9RmrUgWZZLt2mZdlaoxlyzB2eqw1ZSlSGEkkdkL056L/b7NRtCisC61awUXj6grzuEYDgVS3\nrm4xQmbEJKlUECmG2L1bv2jQx4sX2NZQ1eRnz/BFffw4KhyrVMxffhn9X4zRqlUIqH76FNawAgV0\nXUjx8RAOpmTMJSTAFdi2reFtnjxBVlmvXrqvJS+aeewYzne3brCQqNVKE119okilQsyRnx8E1rNn\ncImq1ThObetHbCzzoEEYq3170ywjiYkIzvf3hxv1l19MX4jDwhCjlhqx8fYtzn+2bPgM27Y13a2Z\nGoTr9OBB2+3DVkyfDhFvTYFkrM9YjRpwke/ebTvrWpcuzJUr22ZsZ0cKI4nEjohsNPGFWLIk7uL6\n9MFdPJEieET7inr1dK1D/fvDLWWoJo5Gg0W9aVPT5lWsmH63VUQErFNHj8I9pFLhy/XgQQRfFy8+\niTNnvsBr127gNm0gHnbu1B3nzBkc27FjKc9FxAYZSwtv1QoLfPK76eRtVu7ehRusTh3mv/+Gta5i\nRcOiSFhQ3N2V9HshfIYOTfo5PHiAc+PmBuFkyiJ64wbmIjLZUqpNlZxJkzC3x49Nf8+jR8juy5gR\n7+3TJ23iTAYMgDvIGWvkVK+OwHxLiItDLNvMmSgLgdYySp+x8ePh1tLXSNoWFCgAd5xEFymMJBI7\nI1K8hdm8dGn8PWEC2oeo1WjXwQxXmlqtm5kVFoa6O82bG16QhfvIWDySoE8fiLTktGmDooKPHsFC\n4+YG8z+y0opz4cIJHBaGrDaVCguAPubMwYKQUo8ljQbWqbp1DW8jetP99lvS55M35g0NZS5RAtan\n4GAsTEpKs35RJAKx27RBKn+zZviMkgcP//kn7vjz5TOtrk9sLOLDMmRATNn+/Sm/Jzlv3uAzMLW6\n+dWrsJK5usI6NXas5RlmphIXB0H6v/+lzf6syatXuAYM9TA0hOgzNmUK+op5eyvlOho2xE3RkSP2\n6TP29KkSXyfRRQojicQBGDNGEUdqNeJ2iGB5aNkSd/dC0EybhteSt5EQNYg2bdK/j7g4pP536ZLy\nfISI0i4iuGABMqWYEegrurgzM+/bF8ZEZ3jVqgh+8gQLr4eH4W7qn34K0ZEShw5hHrt363/93Tv9\ngjA8HFavMmVwBx4Xh8XI3x8iJEcOxLsYyj7Tjjnq1w/xPmXKQIho1xGKj1c+u+bNIVZS4p9/IMhc\nXJhHj059J/LRo7HYavfaS45Gg8W3eXPMMXdu5rlz0z74+f17uKP0lVBwdH79Fecupea+kZFwE06Y\nACEvGkiLPmMzZqCxryO0S9m0CXMzNYPtQ0MKI4nEQfj6a0UcEcFio1JBpFSogEylZ8/gimjWDBaK\n5K6z1q31u5QE338Pi0FKbSgeP06ayXb1KlxOMTEI2lSpsMiKFO42bWKYaAQHB4dx06YQTYbKCCQm\noiaOdqVvQzRpYrzmTb9+EI3awc8aDeJ7fHwQJK3RIDvO1RXWpaJFIYxcXQ2LIhFz9N13cH9ky4ag\n62vXlP08ewbx5OKCRS8lF1FYGFyeKhWsYKkNlmbGvqpWhdXH0OvbtqGMgEjn/vln8yptS0C/fhDZ\nydHuM1azZtI+Yy1bOnafsWHD4EqT6EcKI4nEgRA9t8RP0aJwt2zaBMtIlSq4Mw0JgfXno4+SLnZP\nnxoOQmbGnXtgoGmxBQULwkKUkIBF+Nw5jO/nB+EjLFPBwcxlysQzEfG330aySoVYKEN1by5exLHp\na6yqzaVL2G7dOv2vHzuWNAZLIGpFifnNm6e0B6lSBaIMd/P6RVHFiji+H3/EGB4eiDHRtswcOgSx\nlCMHjj8ltm1DfI23N8SpNRbLhARda1N0NAK5RbG/oCC4YWUxxdRTtizavoSGIitMX5+xtm2dq8/Y\n/Pkp1z/7kJHCSCJxMAYOTCqOChaE2NmwAfEJbdviy/fUKdylJhc5P/xgPAPt22+xQKfk9unRA6no\n06Yp+2jZEhYPkWYfH49t1qyJYCJfDgxMZLWaecUKw+MuXAixl5ILqXNniD99roeYGMQLJS9TcPo0\nzsmgQXi8cyfmO2IEUuA9PXEODWWflSyJgOStW5GxRYQGv6IuUmIinler4U5MKUbn6VNY8YgQb2VO\nw1hzCA2Fqyp7dhxv69b6W8lITOf1a4hyUeTSVn3G7t9H/TJ9GCqOKrEtUhhJJA5I375JxVHu3Fj0\nhBtLuFAWLtQNokxMhGlfX6FDZlg+PDwQFGoM0fy2YEFYf4TIcHNjvn4d28yZwzxypAi+ns8qlYZL\nldK/WGzejHmp1RjX1RWunsWLldc8PLAPuLkQ9KyPSZOwjXYg+du3CH6uWhVWtAsXIAA/+wxlBVxd\nITANFW8sUADWsL//RpAyEdx94lhCQuDCVKkgLo1ZfRITIVB9fWFZ+u0321htnjyBBUMU0ezVC5lu\nEvN5/hyfU/I+Y0S4hqzZZyxpcVRUUk8+F2PFUSW2RQojicQB0WhQm0b7yzlrVhThExWb16zBdu3a\n4QtU+8tTtMYYN07/+P37o2aOMavNvXvYz8iR2C5fPoiaAQPw+qtXsLC8f8+8bl0EE8WyWq3hHTuM\nH1fGjEnFnTaikKNweelzx+lrhZKYiIDugACkzT97BjFZsSLcgUR4TZ8o8vCA6MyRA1a22rVhNdJu\n6HvyJKxXmTIZDgQXXL+OBsFEECrWKsinzbVrsOi5uUHMjR4tA2nN5eHDlPuMXbkC95k1RW3y4qju\n7kmLgJpSHFViW6QwkkgcFI0GGWTa4sjPD3eXXbtiUQwORlBv0aKIhdAWOhMmwEpy5Yru2HfupNyz\natMmfGkPH44gZJUKFhCRqdarF1L3mZnr149jokQuVcq4zf/6daWtwaRJuq+L2kiG+p2J5rmFCyc9\n1pkzMe4ffyAGq3JluDxEKYRMmfSLIm9vZKoVLYpstUKFIBhFI1+NBguYmxvijIw15IyJwTl3c8Pi\nmlIMVWo4ehQCkAgxZ7NnK9W8JYbRaHDN6+szVrIkAqw3brS9uNRXHPW775TXTSmOKrE9UhhJJA6M\naHSqncrv6cncoAHuKgMDYSm6dAluKO0KyDExzMWLw12lLyD0888hBPS5hCIjsbi3aIG+TP7+2Lf4\nEj93DkKBGRYcFxcNEyXwnDnG+wv88APGSUkYubrqT0P/6SecB+3+TsHBuLMeMwbH2bo1XGjffWdc\nFPn64lxWrYpsNX9/LJKiFUdYGOK5RDFHYxldR4/iXLu6wkqnz4WZWhITmbdvVzLlSpSAm1NmmBlG\no4FL8ccfdfuMlSsHK+LWrUnLUdgaQ8VRxf/f9u34v46LY6PFUSW2RwojicTBEe4y7SKQbm5YtIsV\ng7XjzRvcbQoXm+DIEaUeUnJE9enkhRGZEbcyfbpSfVulgsAQrq3atZX2EQMHiiayJ5I0kdVHhw5K\n/SB9wkgInypVdF979gwWM1GwkRnBzzlyIPsqPh5uB5UKlhsXFxQV1CeKAgIgYpo0wblxdUVAuWjc\ne/EirFK+vsab74aGKvFg1arpt86llpgY5pUrIbiIEIO1c6dzZD0xY55t2piWtWeNfV2+jM+yXTvE\ndYn/FVv0GUsNhoqjMsOSWr48m1QcVWJ7pDCSSJwAjQZtL4Q4ypABX549esBqVK8eLAg9esAKoh2z\n0KcPYpD0tY2oXx+uOe0YilOnEJuTkIBYFmGpEkJm7Vq4I5ixIGXKxKxWa5ioTRJh9PZt0t5bGg1E\njAhg1ieMunbF/vSVE2jXDm4u0TYjIQHzz5YNokkIw8GDcQ7Qe0pXFMGCBFfG8OFKEUeR+bNyJaxv\n5coZblqr0UAw5ciBc7t4sfUEy7t3zLNmwVUmAn+PHMFCmRYiw1oI4W1Kfz5z0e4z9tln/N9n6uYG\nATlmDGoMpXUhS0MYK44aHY3/wUuX2KTiqBLbI4WRROIkaDRKBWMipbLuV19hQejZE4HQZcrAkiQW\nhdBQBBe3bJlUAO3apbgYhGsqIgKxSsLysX+/cucdEoIU5qJFFRfE6dMQOYGBiUyk+k8YRUTALaBt\nQbl1C2MNG6ZfGMXHQ/gQ6b62cyee1w6I/vZbLDCHDuHH1RXuwcBALC7GRNGQITgfajXqCmk0cB92\n764ETRuK7Xj8GC5GIvw2p0+ZMZ4+RaC7ry+E75dfwk3JjM+KyLZNXq3NOi53qQAAIABJREFUxImw\n8Fmj0nNcHKpGz5wJYY3sQqXP2IQJadtnzBxSKo46eDBixZg5xeKolhITA4uVrGtlHCmMJBInQqNB\nRosQR56e+N27N37PmoVqzz4+qP4svgBFI1Ztt1Dx4kptljp1YPFo1QrxK4L585W2Bsxw34mAa2a4\n4VQq5ubNY5mIODg4jN+8QfuN5NaNFSvwpb90qX5h9Ntv+gOzw8KwkDRtqhzPnj3YbupUHG9AADLB\n8uQxnJIvRNG332Kh8vaG4GBGPErp0qhx9PPP+s99YiIsQz4+sBRt3WqdBebffyGC3Nww91GjIJK0\nadbM+TqhV64MoZoaRJ+xyZP19xmbMsV+fcbMwZTiqDVr4jr69VdOsTiqpRw9ivOobVGW6CKFkUTi\nZCQmwhwvxJGXFyw67dvji/X335VeSEuW4D0aDawb2bPDgsSML+wCBRShVb++rlhZuVIRT61bK6n6\ngrNn8XqLFhBGixa959q10Q8sOV26oLWJCDzV3pdGA3eCaIOi/dqgQTjG+/fx+NEjuE6aNYMFq0gR\n/BQvLhZQXVEUGIhzNHkyXFS5cystOTZuRAmB4sUN9/K6cgXB5kSIKRLn0BKOH4fVighCa9YsJcZJ\nm7t3cU5WrrR8n2nF8+c4Lm0RbYyoKFh8xo/X32ds5kzH6TNmDqYUR716FZ97tmycYnFUS1m2DP8H\nji4o7Y0URhKJE5KYqDQ5FeLI0xPixtMTgmXQIFghRLf3R48gAPr2xeMTJyAGKlaE66ZOHd39REcj\naJQItXL0MWOGcKX9y59+Gmsw0ydvXmR36RNGBw5gHyNGJH3txAk8njcPj+PiIFBE37igILjOqlRB\naQF9osjfH+dk/Hicp8qV8d6YGAg9+v/q1vru0qOjkWXm5oZzdfRoSp+McRIT4RasWRP7LV4cgsfY\nQjVyJFyDjugmMsSqVfjcDF0LERGw+o0dm7TPWECAY/QZO3IE8XqWZBfevo0A/pSKozJDPKlUnGJx\nVO0CqKI4qjkMGoRrTmIcKYwkEiclMVGxYgi3mr8/Yoxy5ICloWpV1GwR2TiLFmFb7QU+JgbBoS4u\nilUm+X4yZdJfV0iAytdkMCvtwQPsd9s2/cKocWPcPa9erbwWGwv3lnZK87BhWFxOnFAKHNauLfpW\n6U/JDwzEgqBSQeRFRuI4q1SBIFy6VP9idPgw4qnc3BAvY8lddmwsjq1kSZyHGjWYd+xIOWA7OhqZ\ndcOGpX7f9qBLFwhugXafsapVk/YZa9fO8fqMTZ2K/yVLXKWNG8Nym1Jx1Bs3cI2p1Wy0OCqzUgDV\nUPPglKhf33A1eYmCFEYSiROTkIAFXjsgO0cOBFWXL4+ssoAAFAVMTMT2H32Eu0bthV40lxWZM8lp\n1Uq/RUkghFGNGk35008/5V+1o6QZcTtECOBOLowuXMBrv/yS9LWpU7GAXriA7bZuxXYLFsBKRQS3\nC45dVxR5ecFKJUodiDpHu3bhnOTPj8yp5Lx9i+BrkSJ/7ZoZH0gywsIQWCuC3D/91Dyr0y+/4H03\nb6Z+DvYgXz5k0Q0ZAveprfqM2YpOnfDZp5bNmxWXWUrFUTt0wOuiLpgx9N1UmEP27LCcSowjhZFE\n4uQkJGDxEeLI3R2FGzNmRFzRjh14fuZMbH/5MkzxEycmHUe4mkQ6vDbz52NcQ66FlCxGPXvCksWM\nIo8qlZJ506kTFtL4eOW1vn2xP+FquH0bC0u7dkogee3ahkWRuzsKIdaqhbvx1auVOkcimyx5TRuN\nBvFG2bJhX8uWpd6C8ewZXI9+fth/jx6pE1iffYZjcHQM9RnLnx+lHVauROVpRxVCySlXDmUuUoMo\njnrnDq6xlIuj4vV9+1Ie2xJh9OYNPpONG81/74eGFEYSSTogPh5p9mJBcnODqV7USxkzBl/AIlPs\nm2/gRhLxDswIZPb01BVMzMznz2NcQ3V0UhJGhQujmGKtWhBfajXmWLGiUo9J+zWVCsJo/ny4IsqX\nV9pseHrifYZEkSjqV7gwrGCHDyMjSLjcZs3SXaAfPoSFQwSZJ88KM5UbN2ANyJAB2WsjRliWzh8Z\nabjzuj159Ih5/XpkQxrqM/bwob1nmToSEnDtLViQuveL4qjMiE9LuTgqrLimYIkwOn4cn5F242WJ\nfqQwkkjSCfHxSgyLqD1UujT+XroUgco5cqBadHQ0FrFatZJaRQYMQExL8kDfhARYP7T7OmljTBg9\nfYo5bN6s+77BgyFe3mt1Elm5EtuLO+jeveEi3LMHroDChQ2LImFJCgzE8d26hcDurFlx7EeO6B7X\n998jmy1XLsRApYYTJ+BuFOnWM2ZYJ3PNEdBoEK+2ejXqPBUooFxjadlnLK24eRPHtn+/+e/VLo6a\nkIAMyJSLo+r+byQvjiqwRBiJTFV7Vv92FqQwkkjSEXFxKO4oFi6VCouXi4viJqpfH1/ahw5hm2XL\nlPffvYsvapHmr80nnzB//LH+/RoTRhs2YD8vXiR9PiQEFiLtmIcXLxD/07UrHq9dq7Q0KVcO8zcU\naC1ijlxd8fv1a6Tnq9WYd/LeaxcvwrKkUkEQmtuMNTERTWvr1MEcixZlXr7cun3S7EHyPmO5cyvX\nkr36jKUlv/+O433+3PA2u3ZBeGu725IXRz1wAOcsQwbjxVGzZUt6c6KvOKrAEmEUFQULsbO4M+2J\nFEYSSTojNhb9yIQ4IkLMkZ8fvljVaiXDrGdPxNNou45EPzPRIkMwaxaEjL5aMsaE0Vdf6U8RnjQJ\nbjHtBbZDB1isXr9GfRcvL2Q4NW+ulCQwZikiQrHEp0/hulOpILy0076johD/4+KCeBh9NZeMERuL\nYHIRS1OtGixNjpJRZS6m9BnbufPDsTRMngxxbkxAiOKoajXcioaKo6pUaNfDbLg4au/eynOGiqMK\nLA2+lpiGFEYSSTokJgYBzdriKEcOCJ6xY/HlumcPvoizZk2awiviiZIHaZ46hef1CQljwqhECaV2\nkiAyEgJIu2Dkn39i/HXrcNdcvDhcgSIOw1BFayIlVmnmTMRS5M6N8ffuTbrf/fshEjNkwAJoTof6\n8HDU1xEWlE8+gWvO2e7AtfuMtWwpesoh5qtGDcfrM5bWbNmC2CBjiOKogwdD2LdqZbg4asmSEJyG\niqOK/42jR9lgcVSBFEZpgxRGEkk6JSZGWcTFj58fFr8mTRDf8OgRBBAR8/btynsbNoTY0F704+IQ\nizNjhu6+DAmjly+VVHxtFi/G3fa9e3gcEYHU+saNcffdsSOy6iZOxPsNNYR1dUXMkacn3Dvz58OV\nVqNG0qDnkBDEdhDB9XXjhunn8cULiEl/f4zdrZt+N4ejEhfHfPKkbp8xd3fEnY0fD8HoTAUk7Y0o\njlqpEn701R+KjoY1qGlTiH19zJgBC12xYnDLpeSelMIobZDCSCJJx0RFIRhYOyDbzQ13sHnzIm04\nNhbWj1y5lDibv//WH4DaqBG+6JNjSBiJ1HptkRIfj7vt9u2V54YOhbi5dw+B4qLukFoNy48+UeTp\nqQRVHzqEbDIiZOEJd59GA1GWJQuEzfLlpru8bt3CYuXuDpE2fDiEpKMTEwPrw9Sp+Ly0+4w1aABL\n2ZEjzh8L5QikdWsNKYzSBimMJJJ0TmSk0rVeuEyIcDfr5oaqyg8fYgEV5n6NBrWRGjZMOtbUqUhD\nTx5/ZEgYDRoE9502wkJ17hwenz4NATR7NgouZsgAi5GPD2I9DFW09vREGv+ePXCP+foicFZw/z4s\nY0RoZmosmFabU6fgWhSBsdOmpW18zbt35sUrRUUxHzyIDvPJ+4w1bQqrRFr1GZszR382lcQ6SGGU\nNkhhJJF8AIjK1toVsokU99LWrUhbV6mUGAeRTXb+vDLOsWN47uzZpOMbEkZly6JGkUAIrgYN8Dgu\nDplOFSrAjZA/P8ROvnyGY4oCAzHPTz9lXrgQFp0KFZR6P/HxWKC9vOBK3Lkz5fOj0TD/9ZdSSbtI\nEWRl2cOq0qEDXIqGiIhA7FTyPmOBgfbtMxYbC1fj0qVpu98PieTFUSW2QQojieQDISIC7iQhjry8\nYJ2pXx8i5MYNZCGVKoVFTri8OnRQxoiNhaiaOzfp2PqE0Zs3+BJfs0bZTrjo/v4bj2fOhLXozBlU\no/b3R2yToewzuNVgifriC/zdp48iYM6fR8yHSoXA2JQCiOPiEP9RpgzGqloVItFezUvj43EOJkxQ\nngsNRVmAr7/W7TPWtq3j9Bm7csV4EVBJ6tm8Wbc4avXq+stqSCxHCiOJ5AMiLEwJviWCAMmUSbHU\nnDyJhXfyZGyfPEiaGenHLVokHVefMBKtSLTf27AhrDsaDSw8Hh6I3Zk1C9sGBRmuUxQQoBTLK1UK\ni4QIao2MRFq5iwtEzsmTxs9DRAQCtfPkwX6bNkWFbHtnmJ0+jflMm4a4K+0+YzlzwsXoqH3GhItU\nX0sZiX25dg3ZnW/e2HsmzoEURhLJB0ZoKIKJtd1qBQvid+/e6CeWIQMsSJGREE7aqcYTJyL2R9tC\noU8YDR8O4SEW8HPnsL8NG/Dcxx9DkO3dC0FTs6bhita+vhB0Y8YgFqpECaX32N69sGy5u0NQGIul\nefkSqdgBAXD7dOkCa4s90e4zph0oL/qMrVrlHH3Gxo9HTJbE8RCi9d07e8/EOZDCSCL5AHn7FhYX\nsQi7uioFC1esQDBznToQPxMnJi3EePCgbs8lfcKoUiXmzp2VbTp0gICJj0eBRFErKWdOpD4bEkUe\nHog56tAB23TqBIvPq1cYnwhWrFu3DB/vnTtoXeHhAWElAs7tgaE+Y4ULQwwVLeqcfcbatIFb1pm5\ndw/FRdMb8+bh/93RxbWjoCaJRPLBERBA9OgRUd68eJyQQHT9OlHx4kSDBxONGUN05AjRqlVEAwcS\nqVRES5Zg22rViDJkIAoONjx+eDjRhQtEQUF4fP8+0aZNRMOHE4WG4nfHjkTLlxNFRxPdvUtENIOI\nxmiNMp3U6tFUqhSRvz/R778T/fAD0bp1+LtECaI//8QcDxwgKlJEdx5nzxJ9/jlR0aJEW7cSjRtH\n9Pgx0bx5yrHbEmaie/eIVq8m6tGDqGBB7LdzZ6Ljx4k+/pho40aip0+Jbt0iiokhat06beZmba5d\nIypVyt6zsIwvviD63//sPQvr8+wZUc6c+D+WpIwURhLJB0qmTER37hAVKoTHzEQ3bkCEzJlD1KkT\n0ddfE8XHE/XsSbRoEVFkJJGnJ1HVqsaF0fHjRBoNUZ06eDx3LsTYl19CFDHji/rgQYiy+HhdUUQ0\nmurUwRzDw4n++YeoUSOiJk2IunXD3//+C8Gh/YXPTLR3L0RHlSoQaEuXEj14QPTNN5iHrWAmunmT\n6KefIH7y5sX57dkT8/j0Uwi0V68gJJYuJWrfHufi3j2iFy+IatWy3fxsRUIC0e3bRCVL2nsmliEE\nRHojvR6XrXC19wQkEon9cHPDAl2sGNHDh3ju2TNYdUqWxOtDhhDNnIlFfNUqokGDIHiWL4cQ0BYl\nY8Z0oEyZXImoI2XP3pGKFCF6/RrvGzWK6OhRovXrcVc+Zw5RYCDR27f6RVGtWkSHDxO1bIl9rV5N\nNHEiUZYssBQ1a5b0WBISYJWaNYvo0iWiypWJNm8matWKyMXFNudPo4GlLTgYP0eOEL18if1VqADR\nExQEsZOSIDt5Er+rV7fNXG3J+/eYd/Hi9p5J6mFOvwLi+fP0eVw2w96+PIlEYn+SV8gWtXF69MDv\nXbsQ25MvH2KE9u7F89ev4/3JY4yqVVMqW0+YgPiGhw8RQ1OzJgK6DRVvdHNDzJGLC+oRnT6NjDm1\nGrFBERFJ5/7+PfOCBUpvuMaNEQdli3iKhASUBJg/n/mzz3AcyfuM7d6duj5j8fFKLSZJ2vP6tVLT\nK71Rpgyy0iSmIV1pEomEPD0R51O0KB7Hx+O59esRU9S/P34ePoQVpkYNWEX0udMiIxHbExSEvxcv\nVlxxz58TRUUhrig0VNdS5OMzmjJmJIqIINq9G7E31apBrp08idigjBmx9evXRBMmwF01fDisMhcv\nEu3ZQ1SvnnXiKeLjiU6fJpo9m6h5c7gfK1YkGj2a6N07ogEDEN/07h3ch9OmwdXn42P+vlxdFbem\nJO159gy/06NlJToa/8/pgc2bN1Px4sXJzc2N1Go1qdVqCgwMpLlz5/63zdatWyljxoz/vZ4pUyZq\n0aKF6TuxtzKTSCSOg0ij165zlCsXLD6DB6P3Vrly2K5qVaX4o7bFSBRxvHoVlaldXGBxUqtRpA51\neXQtRcL60rAhUvrz5UMW2cyZSVPw795FaruHhzKvBw+sc/zG+ow1bKj0GUvrHlkS27N7Nz5rZ8wI\nTInOnVH2IT2xf/9+VqlU7OXlxVFRUTqvL1u2jPPmzcs7duxgjZnmYymMJBJJEhIT4QrTdquVLAlB\ns3gxntu7F5WYc+aESNIWRuPGofFrXJySZl+xItxohlLyRbuSr7+GC44IbUO0XUtnz+I10Vj2u+8s\nLyao3WesXr2kfcaaNUvbPmMS+7JqFT772Fh7z0RiKmXKlGG1Ws2bNm1K8vyDBw+4UaNG/PLly1SN\nK4WRRCLRIT4eliEhjohgOSpdGiLn44/RpoKI+fbtpMKoTh10uv/1V7w+bJhifdIniry8IHRGjEDc\nUaZMzGvXQnBpNMz79ilWrIIF0YsrMjJ1x2Woz1hAAKp5z50LAWavliAS+/H997AMSpyHH3/8kVUq\nFdeuXfu/554/f86NGjXiZ8+epXpcKYwkEolBRoxQhJFKBbeYKLR4+DCeW7FCEUZ//x3G7u4ITi5f\nnrl2bQgiWIR0RZFKhUKQoup1ly4o3BgfD2FVvjyer1gR1aHj482bv6E+Y1myKH3GLl2yf58xif0J\nDWW+edPes5CYQ2RkJAcEBLBareZLly5xSEgIN2rUiO/fv2/RuDJdXyKRGGTOHNTcWbcO8sjNDcUV\n8+RB+n758khRF8UVr18nio0lcndHIHSVKkRqtfGU/NOnEfC6dy9RzZpIy587F3WHGjUi2r+fqH59\n04Kp37zBfI4cQWD4xYtKzaSgINRRCgpCeQJZ7E6ijb8/fiTOg5eXF3Xv3p0WLFhA06ZNo/DwcPr+\n++8pf/78Fo2rYma2zhQlEkl6hJlo+nQURySC6MmXD4UXu3YlOnSIaO3acAoK8qMePcJo2zZfqlgR\nBQsfPCDSV9Ha03M0Zc1K9OQJMsoGDIAgWrwYGV6ff040ciSElzFevlTqBwUHE129iufz54cAqlMH\nvwsWlEJIIkmP3L17l4r+fzrt/v37qV69ehaPKS1GEonEKCoV0dixKFDYvz8sQrduISX9xQuk8L98\niW0vXyYqXRoVrb28iPSJokyZRtObN0h9X7wYlqISJfBqr15Ew4YRFSigfy5PniQtpnjzJp4vUgQC\naNQoiCFna6kxbx4KVI4cae+ZpI58+SBwhwyx90wkHxoFChSgQoUK0d27d+nSpUtSGEkkkrSjXz+4\n0D7/HHVRYmNhLSKCy4qI6MoViBxvb6LISF1R5OU1mqKisIg+eYKq1gEBEDQDBhBlzqxszYwea8Ia\nFByMx0Soyl2/PtGkSUS1azt/7Zndu23bqsTWhITg85JI0pq+ffvSJ598QgsWLKClS5fS0KFDLR7T\n6gUeN2zYYO0hP3jkObU+8pymjubN0Y4jXz6iuDhYObJkUYRRXBzacegTRUSjqWRJokqVYCE5fZpo\n4UI0s50wARYkfX3GvvwS4xvrM+bsvHxJlC2b7vPOcJ0yO1cBQWc4p86Gvc7pkCFDqEGDBjR//vz/\nrEa7d++2eFwpjJwAeU6tjzynqadePVS2LleOKDERMUFCGKnVRPrcZ97eoyl/frwvMpJowwaIoKAg\nxBYJgVO8ONx1t27huZ07EVB94QLRggXoPJ8lS5ofss2JjISVLTnOcJ3GxUEcSWHkmFy8SOTrq/yP\n2gJ7nNNvvvmGSpUqRe3btyciogEDBhAz06JFiyweW7YEkUgkZpM5M8TKyJGIQRLtFFSqeaRPFEVG\nwvqzdClRly5Ev/0GIVSmDGKKnjwh6tEDLqXQUFiT5syBlciZXUymEhPjPMIiOTEx+O3hYd95SPQT\nFYUWO25u9p6J9ZgxYwb5+flRnz59/nuuR48e5O3tTfv27aM7d+5YNL5DCiNrqM/0NIY1cJRjcZQx\nnj596hDzcOYxVCqimTOJbt9Gej0RUWLiJK0t4D4rXBh9zM6ehTVozBiIH319xkJDN6Sqz5ilx2Lv\nMaKj9QsLZ7hOo6PxOyVh5yifi6Fz+tNPRFu2pN080mqMlD4fR/k+NZVFixZRREQEjUyWqeDn50ed\nO3cmZqYlS5ZYtA8pjJxgDGvgKMfiKGM4w4LjLGPkzUsUEjIvyXNubtPJxWU0EUE4eXgQ/e9/CKQO\nCyM6fBiB0/Xri+w1y+fhzGMYitFxhus0vQijNWuI/vor7eYhhZF5PH/+nPr27UvTp0+nqVOn6t2m\nTZs2xMy0Zs0aevv2bar3ZVJWGjNTRESESQMmJCRQeHh4qickx5BjpMUYzOwQ80gPYyxbtoymT1cs\nRd27T6Bz5/pT9erhVKECUdGi6BxPhFiUU6cMj/XmTQIdOWLZsTjbGMxwRz1+DOGoTVwcO/yxPHyI\n3zduEGXIYL95mIqhc/rqFVHWrLqfga3mkVZjnD+v/NZnjbXlOU1O+fJEPj4+pDKjqNi+ffto0KBB\ndO/ePdJoNEREVKVKFTpz5kyS7dq2bUt//vknqVQqCg8Pp7x581LhwoVpy5YtVLhwYbOOx6QCj+Hh\n4eTn52fWwBKJRCKRSCTahIWFka+vr72nYRSThJE5FiOJRPLhcfbsWfr444/p8ePHdPeuL9Wti+f9\n/RFDRIS78XLliCpUwO9cuWQ1aonjMHAgUfbsROPG2Xsm1uXUKSRJbN6M/0F7khqLkT0wyZWmUqkc\nXuFJJBL7UblyZSIi8vX1paAgX6pVi+jYMaLwcLQQqVePKEcOVMaeM4dIo8Fj7bYdJUpIoSSxH9mz\nQ8jXqWPvmViX//c+UblySk9DiXFk5WuJRGJ19u/HIhMTgy/m48dRq6dtW2SwRUYqFa23bEGhyMyZ\nFZEUFIRUfrVDpodI0iOenkqgcnqieHGiFSvSZ/0vWyGbyEokEosRcYja8QNnzxJVraq0iihaFAvP\n48fIRhs1iqhhQ9RZOXFCaftx6hSKBvr7o92HsCpVqKAEcUsk1qZ9exQT3b/f3jOR2Bv5NSORSGxC\n5cpwm40Ygccie6ljR1S9btwY5v2RI9F/rUEDvB4djQKPQih9+y2e8/EhqllTEUqVKxvPgpJIzKFI\nEf1ZW5IPD2kxkkgkFqPPYiT43/+UApAeHkTx8Ygn+uorol27iPbuJcqfH41lv/xStzVGXBysT0Io\nHT9O9P49XB81aijut48+ktWXJRKJ5VjVgz9p0iQqUaIEZcyYkQIDA6lhw4Z0+vRpa+7igyIhIYFG\njRpFZcuWpYwZM1KuXLmoW7du9Pz5c3tPzanZtm0bNW7cmDJnzkxqtZouX75s7ymla+bMwQ+REnMU\nGko0aBDca8eOQeAMG4bmtBMnolu7IEMGvD5mDNGePUrLkO++gziaN4+obl243oKCYGHavx9xTM7I\n0aNHqUWLFpQrVy5Sq9W0c+dOe0/J6Zk+fTpVrVqVfH19KVu2bNSqVSu6deuWvafl1CxbtozKlStH\nfn5+5OfnRzVq1KA9e/bYe1pWwarCqFixYrRkyRK6evUqHT9+nPLnz0+NGjWiN2/eWHM3HwxRUVF0\n8eJFmjBhAl24cIG2bdtGN2/epJYtW9p7ak5NZGQk1a5dm2bNmuXwaaPphREjiESxWmaip09hNVq5\nEq61jh2J7twh6tSJaNYsVNMeOJDo/n3dsVxdiapUgSVq1y6lyezMmQjgXrYMsUv+/kTVqxONHo0e\nbBbWwLQ5UVH4HRkZSeXLl6elS5c6zfV56hTRpUv2noVhjh49SoMGDaJTp07R/v37KT4+nho1akTR\n6THaOo3IkycPzZw5k86fP0/nzp2j+vXrU8uWLenff/+199Qsh21IeHg4q1QqPnjwoC1380Fx5swZ\nVqvV/PjxY3tPxel58OABq1QqvnTpkr2n4vSEhYUxEXFYWJjBbTQa5i5dmCGNmN3cmHPmZK5WDY/b\ntWN+/pz59WvmSZOYM2dmVquZO3RgPn/e9LkkJjJfvcq8ZAlz+/bM2bNjfLWauVIl5uHDmbdvZ37z\nxgoHbiVWrWJWqZjj4pI+r1KpeMeOHfaZlBlUr87crZu9Z2E6r1+/ZpVKxUePHrX3VNIVgYGBvGrV\nKntPw2JslgwbHx9PP/74I/n7+1O5cuVstZsPjnfv3pFKpSJ/f397T0UiMQuVimjtWiUYOz4ebrFz\n54i6d0f/tBIliLZtQ5G9hw+JFi6ENaJiRaJGjeAiSykqUq0mKlUKDWs3biR69gzB3suWYfzNm4k+\n+wzWpXLl4NLbsgUtIexF9uw4rmfP7DcHS8iZ07nmLr5HAwMD7T2VdIFGo6GNGzdSVFQUVa9e3d7T\nsRirC6M///yTfHx8yMPDgxYsWEB///23vPisRGxsLI0ePZo6depEGTNmtPd0JJJUMWcOBAkRss1c\nXdHAs1Ytok8+IerTBwUhHz8mGjCA6NYtCJyQELjIKlXC44QE0/anUiGWqXdvonXrILju3SNavRpj\n/fUXUbt2RNmyKUHhGzak7UJfrBh+37iRdvu0JjlzEjlL6CMz09ChQ6lWrVpUsmRJe08nTThwAK5q\na3P16lXy8fEhd3d36t+/P23bto2KFy9u/R2lMakWRr/++iv5+PiQj48P+fr60vHjx4mIqH79+nTp\n0iU6ceIENWnShNq1a0ch2pGUEoMYOqdECMRu164dqVQqWrp0qR1n6VwYO6cS+3H2LFG1avg7OprI\nzQ2B1WfPEi1fjhiksmWJJk9GsHb79rAs/f03LD0dO0LsLFmixOZ+KNPGAAAgAElEQVSYikpFVKAA\nUbduRKtWEd29CxH2yy/IcDt8GLFOuXIRFS5M1LMnLF2i3IAtyJ8fgeTXrtluH7bEmSxG/fv3p+vX\nr9PGjRvtPZU0o1Mn3ExYm+LFi9OlS5fo9OnT1K9fP+ratSvdcFZ1r0Wq0/UjIyPp5cuX/z3OlSsX\nubu762xXtGhR6tmzJ40aNSr1s/xAMHROhSh68OABHTx4kAICAuw4S+fC2HX68OFDKlCgAF28eJHK\nli1rrymmC4yl6xtCo4H4ePFCeS5HDvRWW7gQgmX2bFhTli9HZprg/Hm8tmkTUWAg3GEDBhBlymSd\n43n5UqnMfeQI0ZUreD5vXqUyd1AQUaFC1mtjUqkSekmtXKk8p1arafv27dSiRQvr7MRGrF0LoRkd\n7dglEwYOHEi7du2io0ePUt68ee09nTQjf36izp2Jpkyx7X4aNmxIhQsXph9++MG2O7IxqbYYeXt7\nU8GCBf/70SeKiOB7jI2NTfUEPyT0nVMhiu7du0cHDhyQoshMUrpOnSXrJz2iVsOl5empPPf8OVL2\ne/eG6+z4cdQ1qlULwicsDNtVrAh31507sCbNmAHRMngw0YMHls8tWza41xYvRn+3kBCi7duJ2rSB\nVadPHxQEzJ0b1qtly4j+/Tfl+CdjlCpFdP265XO3Bzlz4rcju9MGDhxIO3bsoEOHDukVRU+fQkAE\nB6f93GyNh0fatDtJL+u91SpfR0VF0dSpU6lFixaUI0cOCgkJocWLF9OzZ8+oXbt21trNB0VCQgK1\nadOGLl68SH/88QfFx8f/Z/0IDAwkNzc3O8/QOQkNDaVHjx7R06dPiZnpxo0bxMyUPXt2ypYtm72n\n90Hh6Qk3Vo4cCMYmQqB0qVJE69cTnTkDF8DevUTffANxsmQJgqeJ4BJbvJhowgT8XryYaOlSiKWv\nv4YFxhpkykTUsiV+iCDQjh9Xik5u3kyUmIh+VHXqKEUnzen3VqoUju/9+0i6e/cOCWP+vXv36NKl\nSxQYGEh58uSxzgFZGSGMnj3DZ+Jo9O/fnzZs2EA7d+4kb2/v/75H/fz8yOP/TVz+/nCXPn5sz5na\nhowZURTVmowdO5aaNm1KefPmpYiICPrll18oODiY9u3bZ90d2QNrpbfFxMRw69atOXfu3Ozh4cG5\ncuXizz77jM+dO2etXXxwPHjwgNVqdZIflUrFarWag4OD7T09p2XNmjX/nUftn0mTJtl7ak6LKen6\nxnj9mtndXUnld3VlLliQOX9+Zh8f5i1bmB88YG7WDK+3asX89KnuOO/fMy9cyJwvH7Zr1Ij5wAGU\nCrAlERHM+/Yxf/MNc+3azBkyYP8BAcwtWjDPmcN85gxzfLzhMfbswXvWrj2s9/rs0aOHbQ/CAt6+\nxdy3brX3TPSj73yq1Wr++eefk2zn58c8c6adJmlDPvkE16E16dmzJxcoUIA9PDw4W7Zs3LBhQz5w\n4IB1d2InZEsQiURiMSLGqGnTpuTq6kodO3akjh07mjXG27ewPAhLvLs77nTLliU6dIho6FC4zLZv\nh8ssJgZFHfv00bXKJCTAijNzJgoPVqqEnmxt2hC5uFjpoI2QvN/biRNKv7datRSLUqVKSr+3yEjM\n1Rl7wDHjc3Pk+CJTKFkSPfzmz7f3TKxL795EFy/CAitJGSmMJBKJxaQm+Fofb9/CrRYXh8eennBR\ndexI9OuvEBKbNiHuaORIBCrXrEn0009Y1JLDjEy2WbOQslywICpmd++eNLbJ1sTFYVESAd2i35uX\nF6pzi2DuqlWdX1w4Mw0awG3622/2nol1mTCBaMUKxFFJUsZmBR4lEonEXAIDEWPk5YXHos7Rzz9D\nzDx9SlShAqwxK1bAkvTqFWKJJk5UrE0ClUopDHn2LKwxAwciwHvKFAixtCBDBgg47X5vp04RTZoE\ngTZ3LoSR6Pc2frxz93tzVpyp7IA55MxJ9Po1bjIkKSMtRhKJxGKsZTEShIYiy0wEjHp4wHXWrh16\nnu3bh2DsiRMRtD1lCtxmhQvDelS7tuGx795F49lVq+BW69VLaWBrLxITkf125IjyExKi9IUTrrea\nNYmscHolBhg9Gi7Yu3ftPRPrEhsLd7PM1zENKYwkEonFWFsYEaGeUb58SvNX8aVepQpR3bqINwoK\ngoste3bUGurdG5aYPn0glIx1znn1SslkCw+Hu+7rrxHTZG80GqT/C9dbcDDqPanVsJgJ11utWrCy\nSazDwoVEo0ahaKis5PHhIoWRRCKxGFsII4wLcfTuHR67uCAgO1Mmom+/xR2+SoWU/qAgWF5++AEu\nKx8fokWLiFq3Nr7IvX+PWKV584gePSJq0gSLY1CQ4yyOzES3bysiKTiY6MkTzK9MGUUo1amDkgGS\n1HHtGtGxY7AipkWQvsQxkcJIIpFYjK2EERGES758SeOBcuTAXf2PP0IIHT1KNHUqArLVatSiGTiQ\naOdOohYtUPsod27j+4mPR2D3rFlwa1WpgvFatXK8RZIZhSxFZe7gYBTLJEK/N+3q3Dly2HWqEonT\nIYWRRCKxGFsKIyIEIRcogABSQaFCEAcLFyIoe9o0oubNEagdGAjxsHUr2oVERuL1fv1SFjnMiGGa\nORPB3YULI5Ota9e0zWQzlydPkrrebt7E84ULJ7Uo2TOWSiJxBqQwkkgkFmNrYUQEC1GhQkl7q5Us\niTYaw4cj7qh7d7jQNm+GxYcIbrjRo2FdqlYNfddKlzZtn2fOoCfb1q1oXjt4MFH//kS27szTsyd6\nxI0cmfoxXryAJU0IpatX8Xy+fIpIsna/tx9+gKjcts0640kk9kCm60skEqfAywvuIm2X2L//QuR8\n/z3S948eRZ+zmjURVM2MAOxly2BNefcOwcvjxiHLLSWqVIF77eZNxCpNnkyUJw+EmC1bR0RFYb+W\nkD270u/tyhVkuW3bBtfg1au26ffm4kK0a5f1209IJGmJtBhJJBKLSQuLkSA2FtaUhw/x2MWFqGhR\nCJXChWHd+f57BF63bw8LkY+P8t7p0+FWK1AAqf1BQabv++VLjLtkCRb/Tp2QyWaqBcpUNmzA2Pfu\n2a73WFgYAo2F++3s2aT93oRVyZx+b9eu4Vzs30/08ce2mbdEYmukMJJIJBaTlsKICAKnZEkl4NjN\nDXWPYmKQ6r5rF17r2RPBx1u2YIEXXL8Oi8nx49hm9mzz3GMREUom2+PHRM2awe1Vp4513FKRkbB8\njRmDek1pwfv3aF0iArpPnULFbn9/1IUScUrly6O+kj40Grgchw5FkUqJ47BzJ0pbbNxo75k4PtKV\nJpFInA53d7h9ihXD4/h4BB8zw+JRuzYsSWfPYtuPPkJQtqBkSSz+y5YhHqlECbSBMPU20ccHi//d\nu0Rr1yLNv25dxDD9/rvlFYa9vYk++4zol18sc22ZQ8aMRA0bolimcDuKHnXv38P9WKUKAtubNkUd\nqRMncO4FajVRjRqwREkci1ev4J5NSLD3TBwfKYwkEolTkiEDYmdEj7TYWKT0P3qExblNGzScPXEC\nMTTdu6M+TXQ0tlerifr2hcCqWZOoQweiTz/F+03FzY2oSxek9//1F7LW2rTBnJYvNy2OyRBffIG5\nXbyY+jEswdMTYm/CBKKDByGUjh2DFYsZ5RFq1IBFqUEDxF8FB6Pf24kTzrsAM8PCeO2avWdiXXLm\nxLG9fGnvmTgBLJFIJBYSFhbGRMRhYWFpvu+4OOayZZnxtc/s6cns4cHcoQMef/klc2ws8+rVeK1c\nOeZbt3TH2baNOVcu5owZmRcsYE5ISN18Tp5kbtOGWaVizpaNedo05tBQ88eJj2fOkoV5xIjUzcPW\nxMcznz7NPHs2c/PmzH5+ON8ZMuB3r17Mf//N/P69vWdqPlmyME+caO9ZWJcrV/C5HDli75k4PjLG\nSCKRWExaxxglJyEBlooLF/DYywsWpJ49idasgUVoyxbUO2rbluj5c6LVq2HdSXocRGPHEi1dCrfR\n8uWpbxFy6xbRnDlwtbm5wTo1dGjKhSa1GTSIaMcOBJo7ShVuQ4h+bwcOIN7KywuxUs7Y761uXaKs\nWS3PDHQkYmPhol2yBNeixDDSlSaRSJweV1fUHBK1i6KiEFv0008QR5cvE1Wvjma0Z84gRqZtWwiV\nuDhlHF9fpLcfO4ZFvVIlCCXhfjOHokWx/wcPUP9o5UqiggWJevRA8Lcp/O9/KEHg6KKICDFdFSpg\nzmvX4jxfuUK0YAFKHKxZgyD1gAB8TiNGICA4NNTeM9elVKn050pzd0d5hvR2XLZAWowkEonFCItR\n06ZNydXVlTp27EgdO3ZM83kkJsIy8c8/eOzpCVHToweee/0awdF16uDOefhwoooVYRnImzfpWHFx\nqH49ZQpe+/FHovr1Uz+3iAhYoObPR6B48+awrNSq5RzCx1KYYUXTrs4t+r2VLauUB3CEfm9LlxIN\nGQKBnZ460rdtizi8gwftPRPHRgojiURiMfZ2pWmj0cAVcvQoHru7Q+S0aYMih8ePw5LTvTvR6dMo\ngvj+PdH69bAkJefmTaT2HzmC98yZgya2qSUuDnWKZs2C5ah6dQikFi1MrxeUHtDu9yZKBIjyCyVL\nJq2llDNn2s4tOBjX0NWrsB6lFyZMQCamDMA2zgf0byiRSD4E1Gqiw4cV605sLO76d+yAy+2LL2BB\nGjuWqHJlxCVVrw43zzff6GZTFSuGtPXly5HlVqIE6sGk9pYyQwaibt3gZvrjD8ypVSuIgRUrMN8P\nAZUKxSu7d0e81927qAm1fj3ikA4dQjZhrlxwAfXqRbRunVLY05aUL4/5nTpl+32lJQ0a4Hw7a8Zg\nWiEtRhKJxGIcyWIk0GggdvbuxWMXF4iSkiWRlj9pEqxIP/+M2KNZsyCM6tSBRSd7dt0xX7yAi2XT\nJqImTdAbLH9+y+d64gSKTG7fjsKOQ4cSffUVkZ+f5WM7M/bo9yYoXx4xZitXWndcieMjhZFEIrEY\nRxRGRLDqtGgBywwRrEk+Psg4GjECMUalSsGalCMHFt8OHbDthg1wp+hj1y40k337FvV7Bg82XA3a\nHG7eVDLZ3N0hjoYMgdVEQvTmDYSSiFO6eBECOGdORSQFBREVL265UBoxAkUR162zztwlzoMURhKJ\nxGIcVRgRQRy1aZO043uWLLAgzZ+PBVA0Py1XDlaKTp2w8E6ZQjRqlP7Yn4gIVINetAgB3MuXIyvL\nGjx/jmyuH35A8Hjnzsj2EsUsJUD0exMWpXPnLO/3JpFIYSSRSCzGkYUREcRR+/Zo/yHInRt1i1as\nQGPZ27dhJWreHIvrhAmo7tysGSw4hgKuT50i6t0bgdTDhxNNnIgaPtYgPByB4vPnEz17hsasnTsj\nTkSiy/v3yD48ciRpv7eAAKXfW506xvu9SSRSGEkkEotxdGFEBHHUuTMCpwUFCqDo46pVEE27dhHN\nnQv3lUpFtHs3Wn54eyOu6KOP9I8dHw8X2KRJcOv8+CP6jlmLuDj0TRs4ECnkNWrAktW8uWNbQk6d\nIpo2DcU17ZH2Hh2NOQiL0okTaNPi44MyCcL1VqlS+krLl1iGFEYSicRinEEYEUEcde8OC5CgaFFY\nixYtQvr4nDlE/foRLVwIq8KjR7A2nTsH0TRwoOH4ldu3UVX40CEIqnnz0G3eWuzYgeayZcuiaGWJ\nEkRffw3Xn7u79fZjLc6eRTHHw4chQOxNbCzmJITS8eMo5OnlBbEp3G9VqyIgX/JhIoWRRCKxGGcR\nRkQQR336wIUmKFkSrrDx4+Fi698f6f6bNiEzLC4OFprvv0fdoxUrDLe1YEaV5xEjYM2ZPx+WKmtk\nTWk0EEX586PcwKxZEEs5cyKTrU8fx8pk02gQON6xI0SioxEfj3INQigdPQr3pbs7rIPC9Va9OqyG\nkg8DKYwkEonFOJMwEvTrh2J3gjJlUFuoTx8Ea3/+ORb1P/6Ay42IaOtWoi+/REr9li3G+6i9fEk0\nbBjilho2xL4KFrR83uvWEXXtSnTpEvZ/44aSyebpiUy2oUORZecIDBqEauOPHiHI3ZER/d60i06+\nfav0exNCyRn6vRnjyhVYxIoUsfdMHJS07FgrkUjSJ2FhYUxEHBYWZu+pmMXAgeg4TsSsVjOXLs3s\n4sLcqhXzxYvMBQui0/rx48p7bt9mLleO2cODeeXKlPfx55/MefMye3oyz5zJHBdn2Zzj4jCvzz5L\n+vzTp8xff83s64sO9z17Mv/7r2X7sgYnTuD8Hjhg75mYT2IiutIvXsz8+efM2bIp10rlyswjRjDv\n2MH89q29Z2oeJUsyDxhg71k4LlIYSSQSi3FWYcTMPHSoIo5cXLBoeHoy167NfOcOc61azO7uzL/+\nqrwnKoq5Vy+8p3t35shI4/uIiGAeNgwLarlyzGfOWDbntWux79OndV979w4CLEcOZpUKAuqffyzb\nnyVoNMyFCjF/+aX95mAJGg1Ep/j7xg3mn35i/uIL5ty58TmoVPhcBw9m3rqV+dUr+845Jdq1Yw4K\nsvcsHBcpjCQSicU4szBihqVFiCM3N+aiRZn9/ZnLlGG+d4+5Sxe8NnEiFkfBmjUQUWXKMN+8mfJ+\nzpzBAqpWQyhFRKRuvgkJzCVKMDdqZHibmBjmFSuYixXD3GvXZt61C1aQtObbb2HJio5O+31byvTp\nuBb0nTeNBtfH6tUQyAULKtdRyZLM/foxb9jA/OxZmk/bKNOmMfv44DqS6CKFkUQisRhnF0bMzGPG\nKItahgxY5HLkYM6XDy6pKVPwWqdOSRf4y5chPjJmZP7tt5T3ExfHPGsWBFW+fMx//ZW6+QYHM586\nlfJ2iYnM27czV6+O+ZcqBUEXG5u6/aaGGzew7y1b0m6f1uLwYcz97FnTtn/0iHn9euY+fRRRSsRc\npAjcm2vXMj98aNs5p0RwMOZ04YJ95+GoSGEkkUgsJj0II2ZYNsRC5u4OV0mRIsyZMkGE/PYbYotq\n1GB++VJ5X3g4c/v2eN+gQaaJjjt3mBs0wHs6dkw6nq04epT500+xz1y5mOfMYU6rj2zLFubQ0LTZ\nlzWJi2P284O1MDU8f47rZsAAxLCJ6yt/fuauXRGndudOUkukrYmKgmV00aK026czIbPSJBKJxThj\nVpohpkwh+vZb/O3hgeyjXLnQx2zrVlRRbtECtW/+/FNp08FMtHQpMtEqVECqf758xvfFjG7yw4Yh\ntX3uXNRZsnZD1ORcv46mtb/8guPo1w9FLfU1zpWgjtX9+0SnT1s+VkhI0jYmFy/iOsiVK2kbE2v0\nezNGjRq4PjdssN0+nBUpjCQSicUIYdS0aVNydXWljh07UseOHe09rVQzYwbRmDH429MTAql0aVRO\nXrUKC1fz5khB37IlaZXrM2dQ6yg8HKn1n3yS8v5ev0bdo3XrUD/pxx+JChe2zbFp8+QJajP99BOK\nH3brhp5sRYvaft/OhCiR8Py59cXju3coNCnKA5w9i7IBWbPiOhNiqXRp61Y5//prot9+wzUsSYZ9\nDVYSiSQ9kF5cadrMmqW4PTw9mb29mZs1w+PZs+GCatoUmWw//JD0vW/eMDdvjm3HjGGOjzdtn3v3\nMhcoAHfd9OmWp/abSmgo9pctGzKsWrc2LX7pQ+HVK5wXU8ozWEpEBK6Db75BRmSGDLiOAgKYW7Rg\nnjsXQfymXlOG2L4dLuKQEOvMOz0hhZFEIrGY9CiMmJm//z6pOHJ3Rz0bItSwiY1FTBER0v61s3wS\nE5E27+KC1GhTM5Pev0eWnIsLc9myaStQoqORil60KI4pKAh1mNIy/sVRqV4dgjGtiYpiPnQIMU71\n6kE0EyGrrGlT5hkzUI7BXBGdkCA/V0NIYSSRSCwmvQojZhT3E+LIy4vZ1RWp2SoVc+fOWJAWL0YK\nfvPmCMTWJjgY2W3ZsjEfPGj6fs+fZ65YEfsZMkR3XFuSkMD8++/MH32E4y5dmvnnn9POguWITJ2K\nTEV7lDvQJiaG+dgxzKdRI2RDimuzQQPm777DNeeMpREcBSmMJBKJxaRnYcTMvGxZUnGkVjP37YvM\nniZN4P7YvRt38eXKIWVbmxcvmOvXx/umTDF9cY2Ph+vEy4s5Tx7UITJEVBTzpEnM9++n+jB10Giw\nyH7yCY49Tx7mefPSVqQ5CpGRjln3Jz4eVsVZs/A5+foqWZV16iDTcv/+lIuQShRk8LVEIrGY9JSV\nZogVK4h698bfnp5E0dHoS/bLL+hy/+efRC9eICg7NpZo50701xIkJhJNmoSstyZNENCbKZNp+75/\nH5lje/eih9uCBbpBwO/fI2i6dm0E1Vqbq1eRyfbrr0QZM6LR7uDB6BtnLsxEb94QZc5s/Xl+6CQm\noo/ekSNJ+725uen2e/PxsfdsHRMpjCQSicV8CMKIiGjNGqIePfC3EEd9+hBt307k7w/h4ulJ9Nln\nWJzWrydq3TrpGHv2EHXujDT5TZuIqlUzbd/MSK0eOhRd4WfPJurZM2lKt5jfkSMQSLbg8WOi+fOJ\nli/HPLp3RyabOVl0AwciE+v8eduXJvjQ0WhQnkEIpeBgNDh2cUFZiaAg/NSqhVIUEpJZaRKJxHLS\nuytNm3XrFLeaCITt3h39wHLkYL50CW4tUfBx+nTdINdHjxDM6+aGAG9zgmBDQrA/ERx944byWmIi\n4oJKl7Z9PNDbt4hzyZoVcVBt2+rv3aaPv/7C/E+csO0cJbpoNGhfY6jf26BBKMbp6P3ebIkURhKJ\nxGI+JGHEjP5X2hWyRauQChVQJTk4GCJFVNLu0UO3GnZsLPqlEUFUmHvq9u+HGHN3Z548WRn//HnE\nMs2ZY51jTYnoaMRgFS6MY6lbF/FWxsReYiLKEnTtmjZzlBhGo2G+e1fp91aggG6/t40bHa/fmy2R\nwkgikVjMhyaMmJk3b07aW83FhblVK6RUu7sjq4sZvbEyZIB1580b3XG2bkXAbOHCzBcvmjeHqCjm\n0aOx71KlkLbNjC7v3t66QeC2JCEBloYqVXBOypaFdc2Q5WrmTJwnWUfH/sTEJA0sF/3eevdWSjck\n7/f24IH95mtrpDCSSCQW8yEKI2aIH7FouLnhp1Ej5jZtYLVZtgzbHT2KYnpFijDfuqU7zu3bzOXL\nwzWXmiKCFy9CkKhU6Mn16BFz9uyYR1qj0aAsQdOmOC9588JdGBGRdLvXryGMZs9O+zlKFK5cwedw\n5ozhbUS/t/79IcDFNZ8vn9Lv7fbt9FMXSQojiURiMR+qMGJm3rEDgoQINY7c3Zlr10Y6PxFS6DUa\nNAotXhwVjA8d0h0nKgp36CJmydz06oQECBBvbzSIHTYMYsueH8mlS6j15OKC4x43Lmmz3K5dIZyc\nrT5STAyEQHogJgbX7Lx5pr/n9WvcFAwdCvexuP5z5UJD5GXLmK9fd16hJIWRRCKxmA9ZGDEz//GH\nsji4uECcVKqEtg5EzF99BeHy9i3zxx/DsrRqlf6x1q5F3aIyZZIGVpvKw4dK3aFWrZifPrXs2KzB\ngwcoUuntDatYv34QipcvY55r19p7hubRpQsCldML9erBwpdaQkPxP/D118xVq+J/gAiB+W3aMC9c\nCJHsLEhhJJFILOZDF0bMzHv2wH1GhN++vghenTsXC0Xr1ghUjotj7tMH240erb/Y49WrsC5lzIjA\nV3PRaPC+bNkwjx9+sH/FZmbEWE2ezJwlC85Ru3YokLlkib1nZh7btuHzu3rV3jOxDnPnwmr0/r11\nxgsPx//DmDHMNWviRsCZcuCdaKoSicRRkcII7NuniCMi5sBAZPn89BMsJUFBuLvWaLAYqVS4o9bn\nNouIgFuCCHFDMTHmz+ftW+ZevTBGrVpwbzgCUVHMS5ciq44IVcH37nUe10tMDFyDY8bYeybW4cYN\nfA47d9pm/Kgo89rh2Bu1/SooSSQSSfqiYUOi/ftRPI8IFYcjI4kmTkRBxMuXUUzv+XOi4cNRGHL3\nbuU5bTJmRFXtpUvx3tq1iR48MG8+AQF476FDRK9eEZUrh7nExlrhYC3A0xOVvG/eRJHLsDCixo1R\ncPDXX4kSEuw7v5Rwdydq1w5z1WjsPRvLKVoUBTr//NM243t6EtWrZ5uxbYEURhKJRGJF6tUjOnCA\nyNUVj1+9wu+hQ4mWLYNYqlGD6NYtohYtiI4dgyiqWhXVsrVRqSAgjh8nev2aqGJFoj/+MH9Odeti\n7FGjiKZOJSpfHvu1Ny4uEBhnzuCcZc9O9MUXWKQXLYKodFS++ILo4UOif/6x90wsR6Ui+uQTCCPZ\nC0MKI4lEYkU6dOhALVq0oA0bNth7KnYlKIjo8GFFHD17RuTtTdSrF9ppeHmhV9WZM7CSnDpFlDUr\nntu1S3e8ypXRPqN2baJPPyUaPdp8q4qHB9HkyUQXLqB9Se3a6PX27p3Fh2sxKhVR/fpol3LxItpT\nDBtGlDcv0YQJEIWORq1aRHnywKqXHmjenOjJE1jxPnjs7cuTSCTOj4wx0s8//yiBp0SIN/LwQE2Y\n6tWRpbVnD7Z9/575s88QdzR/vv54G40GXdRdXNA53dxqxLGxzMuXIwB88WJmHx+0MdmyxfHiex48\nQKFKLy+cs/79UaHZkRg1CnFkyauaOyOxscxPnth7Fo6BFEYSicRipDAyzMmTStsQIlS4dnNDVehP\nPkHto/XrsW1iIvPIkUqKv6H6PkeOMOfMiXToAwdMn8uJExh70SI8fvyYuUULPNeyJR47GiEhqAWV\nOTMC29u3Zz53zt6zApcvo6yCowk2iWVIYSSRSCxGCiPjnD2rNJwlYi5WDIv8jz8qDWHnzlW2X7EC\ngqlhQ2Sx6ePlS9REUquRAm9qOn7//rBU3bmDxxoNLEbZs8OCtHix/VP7tdtTCCIjMTfRy6tBA2QB\nOpqlS+L8yBgjiUQisTGVKiFI19MTj2/eRCZQ375EZcsSjRlDNGIE0ciRyHLq2ZNo3z7EINWoQXTv\nnu6YWbMS7d1LNG4c0fjxCJ4NCUl5LjNm4L3duhElJiK+p2IW4HMAACAASURBVE0bon//JerUiWjg\nQMTPXL1q3XNgKl99hZ/keHkRDRiAoPWNG4nevCFq1AgB6Rs2OH4mm8R5kMJIIpFI0oAKFYhOnMAC\nT0R04wZRqVJI23d3R1D27NlE3bsTxccju+3kSaK4OKKPPkJmWnJcXIgmTULQ8tmzyj6M4eNDtHYt\nhNrcucrz/v7ImjtyhCg0FGONG0cUE2O1U2ASxYsTrV5NdPu2/tddXYnatyc6dw6lEbJkgaArUoRo\n8WKiqKi0na8kHWJvk5VEInF+pCvNdC5fhitLuNVKl8bv4cOZf/0V8UdNmypViENCEGidIYMSi6SP\nx4+Za9SAC85Q8LY2I0diTH2tGmJimCdMwFyKFmU+fDjVh2s20dFKzy1TOX8e26vVaNY7cSL6eUkk\nqUEKI4lEYjFSGJnH1ato9yHah5Qpg7979UKWWsaM6DklFveYGOZu3bDN+PGGRU9cHPOIEdiudWvm\nd+8MzyEmBqKsbFnDVbWvXUNLByLmnj1RSTstWLYM2XmXL5v3vnv3UCXc0xPZbIMGMd+/b5MpStIx\nUhhJJBKLkcLIfK5fRx8zIY5Kl1ayrk6cQD+xYsWQts4MMTRtGrbv2BGWFUNs28bs54eWGxcuGN7u\n4kV0Rxf70EdiInqt+fqi99rGjbYPeI6LYy5YEOULUsPr17B4BQaitEHHjsbPg0QXfW1qPhSkMJJI\nJBYjhVHquHEDAoYIC3ipUnBvNWsGa0mBAkjL17acbN6MDLfq1ZGZZog7dyB63N3Rq82QmDFV5Dx9\nCisUEcoMPHxo+nGmhrVrsa/Tp1M/xvv36OyePz/GatSIef9+mcmWEhMmMJcoYe9Z2A8ZfC2RSCR2\nolgxZJ4FBCBD7OZNokKFUDV70CBknWXNiirVR4/iPW3bEgUHI1Pto4+Irl3TP3ahQgiw7t6dqE8f\nZKHpa7GhUpk215w5ibZuJdq2DdWzS5UiWrgQ87YFnToRlSiBAPDU4u2N83j7NvqavXpF1KABUZUq\n6NFm7Uy21avTRyXs8uWRpXj3rr1nYh+kMJJIJDps27aNGjduTJkzZya1Wk2XL1+295TSLUWKEJ0+\nTRQYiIX6zh20mrhwAeJg2zakpDdsiKazROirdvo0Msxq1ICA0oeHBzLN1q2DqPnoI2TDWcL/tXfe\n0VFWXRffM6lACtIh9CYdBCkSqtQACb33LiggoKAiIFVA6dI7SJEm0jtSRZD20nuTKi0gISRhzvfH\nNt8QkpBJZpLJhPNbKytlnufe+0xwZXvKPvXqAWfOAG3acP5b2bIcjmtrnJyA4cMpDK0deuvsDDRv\nzrEqW7eyA69pUwrTqVOBFy9sc+YdOzjCxNEHy1atyk7JX3+190nsgwojRVEi8fz5c5QvXx5jxoyB\nwdKQghJncudm5ChNGrbqX7lCQXD1Kv2J5szhjLSGDYGZM3lP1qxs4S9fntdMnRr9+q1acX2TiXPX\nrB1l5+0NTJnCQbT//kufpm++sZ3ACKdBA4o6NzfbrGcwUGBu3057g5IlGVHKlo1z5B49sm797t0Z\nZdm2zTbntRceHpydtmSJvU9iJ+ydy1MUJfFy7do1MRgMciKqnu7X0Boj23D1Ksd8AKw1ypGDs8xy\n5hS5eJEdVwBHZITXyYSFifTqxZ/37Bm1a3Q4z56JtGzJa7t1i74bLTa8fCkydCjPmysXa3gcicuX\n6Qbu7k4bhV693l6M/jZMJpGiRTlexdFZvZr/Ts6csfdJEh6NGCmKoiQSsmdniixDBho73r7NNJDJ\nBFSsCHTrxsjG4MF0qH71iimnCRMYwZkyBQgIAJ49i3p9Dw9GYKZPZxTK15dRKWtwdQUGDgROnGAd\nUtWqQPv2dKZ2BHLm5Pt24wbdxxctYn1W69axTxEaDPwdrVvH9RyZWrWYckwKNVOxRYWRoihKIiJb\nNoqjjBlZW3P/PkWShwfFkZ8f02nTpwPNmpmdqbt3BzZsYJG2r2/0f5gNBo4i+eMPpo6KFwfWro14\nzdixdNSODfnysWh85kzWpuTPz1SMSKzfAruQNi2f+fp1YNw4OoAXLcr3+/ffLX+Oli1Z9B2e8nRU\n3NxY6O9Iv0NbocJIUd5xlixZAk9PT3h6esLLywv7o5o9oSQoWbKwJsjHh+Lo0SPgyRN+//HHFCGr\nVgHr1/MPd2Ag76tRg4Ln2TNzgXZ0FC/OYuRKlYC6dTmnLTSUrwUHUyTs3h27cxuNQOfO7GiqVIki\noVYt4Nq1OLwJdsLDA+jZk0XwP//MqF3lyixcX7ky5i48Dw92AM6aRUHryLRsCdy7x/fiXcIg8q5p\nQUVRXuf58+e4d+/e/3/v4+MDt/+qXa9fv44cOXLg+PHjKFKkSLRrPH36FN7e3kiXLh0MBgN8fHzg\n4+MDAGjevDmaN28evw+RRLlzh3+Qb95kh1ny5EzznDoFrF7NyERAAKNMmzYxygQwylS3LnD8OFND\njRpFv4cIIyT9+wMffcQBrRkyMCV26RJTZKlSxe3869YxkvXoEVOAPXsyNehIiLDrb8wYYNcuFsp/\n8QW78sKHAr/J6dNAoUIscm/WLGHPa0tMJs6e8/Cw90kSGHsXOSmKkni5du2aGI1GLb62I3fumA0K\nkyUTSZlSpHx5zjFbsULk5EmaQObIIXLhgvm+oCCRZs1438iRMZsa7tvHGWVp04ps28bZa6lSsZDY\nGkPEp09ZFG4wiJQowblm1nDrlsjff1u3Rlw5dEikUSM+S7p0IsOHizx8GPW169bxd6A4HppKUxQl\nEo8fP8aJEydw+vRpiAjOnTuHEydORIgsKQlDhgzAn3+ySPjFC6bWjh1jqqppU6bcDhxgEbSvL9vQ\nAUYzliwBBg1iK3379m9P7fj6ct1ixYDq1YG5c1mg/dtvwMSJcT+/pyfv/+MP7l+yJNN2QUGxX8tk\nYlqrT5+4n8caSpYEVqwALlyglcCwYbRN6NOHUb3XqVMn+oiSksixtzJTFCXxMX/+fDEYDGI0GiN8\nDBkyJMrrNWIU/9y/L5I7NyNAyZPzw9+f30+cyPlgpUuz5Xzr1oj3/vwz2+krVBB58ODt+4SF0Q7A\nYOAIjU8+EXF2Fjl40PpnCAlh9MrNjRGuN89pCfPm8Zn37bP+PNZy967IgAGM4jk7i7Rpwwie4tho\njZGiKFYTXmMUGBgILy8vex8nyfLgAVCuHEeHJEvGCEpAAKMYQ4cCvXsDTZrQwHDBAro9h7N/P12r\nU6Zk0fb77799r23bWHzr6sp7goNZVO3iYv1zXLzIzrhdu2g+OX48zS0twWRi5MbJCTh4kAXf9ubZ\nM0bXxo1j5KhWLUbFKlSwfOSKknhIBP+kFEVRFEtIk4Zps/z5mVZzcuKYkFatmDL77jt+37w5x4lM\nmGC+19eXKTkXFxZZ79r19r2qVWNqLXt2CjE/P9sVTufJw/EZc+fSYiBfPhaJW/K/6UYjhdThw4nH\nmdnTk+NRLl8GFi6kVUKlSnyfV6+Ov3lySjxh75CVoiiOj6bSEpZHj0QKFTKn1ZydRTp04PedO4uE\nhor068fv+/ePWDz9+LFItWq8Z86cmPcKCRH54guuVb8+77cl9+6JNG/O9atVoxO1JTRoIJI5s8jz\n57Y9jy0wmUQ2bBCpWJHPlSePyIwZIi9e2PtkiiWoMFIUxWpUGCU8jx+LFCliFkdGo0iXLvzctCkF\nzbhxfL1tW34fTkiISNeufK1fP5FXr2Leb80aEW9vjiextrMsKjZuFMmWjZ13o0dT3L2NS5dYNzVw\noO3PYksOHqSIMxhE0qdnjdWjR/Y+VewxmUQOHIi5Ri0poMJIURSrUWFkH548ESlWzCyODAYWS7u6\nitSuzXbxn39mdKh27YjRFZOJwslgYCTo339j3u/yZZHixVk8PWOGdW38UfHsmUjv3hR3xYqJ/PXX\n26//9ls+6+3btj2HrTGZRGbPFmndmu+dh4dInz60RHAUHjzgv6NJk+x9kvhHhZGiKFajwsh+BAaK\nfPih2ecofEBs8uRM5QQGimzZwm61MmUi/x//2rV8rXhxegTFxIsXFF8A/9BbIqhiy+HDFEZGIwVE\ndHsEBYns2GH7/W3No0f8fQwcSF+qr782d7K1bSty6pS9T2gZ/v7sfEzqqDBSFMVqVBjZl6dPRUqV\niiiOPvlExMtLpGRJiqFDh0TSpBHJl0/k+vWI9x87xnodHx/L02SLF1NQFSgQPxPYQ0KYUnN3Z4pt\n0ybb75GQfP65yHvvMSomwt/Z2LF8zwGROnVE9uyxfRTOlixbxrNevGjvk8Qv2pWmKIri4Hh6ssur\nTBl2qyVLZh4ye/Uqh89mzsyW/eBgoGxZjhUJp1gx8+Da8uUjD5WNihYt2BX2/Dnb523dIebiwpb3\nU6fYxebnR/uA+/dtu09C0acP2/pnzeL3np782ZUrwPz5/FyhArsH16yhLUFiw98f8PamNUFSRoWR\noihKEsDDg/5F5cpR/Li7c8J73bocQFuuHMXGgQNA6tQUQPv2me/PmJFDY2vUoN/R2LExt88vWsQB\nttWqUbR068a9bUmuXMDWrfRl2rKFrf3z5jnexPcsWfgejR0b0YHc1ZVDZ0+epL+UszNQvz5QoAAw\nezadzhMLyZMD7dolvnPZGhVGiqIoSYQUKSgeypfnHy43N/7ffdWqNBosX54iac8eoGhRCprXo0PJ\nk9Mssl8/Dkr95BMgNDT6/WbMAN57D7h+HZg8mYLF15fRD1tiMHBo69mzHLXRoQNQpQqNIh2Jfv2A\nW7eijq4ZjUDt2vzdHDhAYdSlC32kRo+mAE0MdOtGo9GVK+19kvhDhZGiKEoSInlyYPNmGgyGhFAc\nLVgAlC5NEVOhAo0IN2/mH+L69RkBCMdoBEaNovni3LlMYT15EvVeqVIBq1ZRsBw9yj/ogYFA8eJM\nB9matGlpoLhlC3DtGlCkCPD9928Xb4mJAgXoVD569NtNH8ONIcOF4KBBjDiFCyt78v77FKXTp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TAsOHM3X555/WnymhSJYM6NXL3qeIBfb2C1AUxfFRHyPldZYupWmjiwtNIJMlo4/RqVOcap85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\n",
"text/plain": [
"Graphics object consisting of 58 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"graph += X_SD_II.plot(X_KS, ambient_coords=(X,T), fixed_coords={th:pi/2,ph:pi}, \n",
" ranges={t:(-10,10), r:(0.001,1.999)}, steps={t:1, r:0.5}, \n",
" style={t:'--', r:'-'}, color='blue', parameters={m:1})\n",
"region_labels = text(r'$\\mathscr{M}_{\\rm I}$', (2.4, 0.4), fontsize=20, color='blue') + \\\n",
" text(r'$\\mathscr{M}_{\\rm II}$', (0, 0.5), fontsize=20, color='blue') \n",
"graph += hor + sing + region_labels\n",
"show(graph, xmin=-3, xmax=3, ymin=-3, ymax=3)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"graph.save(\"sch_SD_KS.pdf\", xmin=-3, xmax=3, ymin=-3, ymax=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Radial null geodesics\n",
"\n",
"The outgoing family:"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"(0, +Infinity) --> M\n",
" r |--> (te, r, th, ph) = (4*m*log(abs(1/2*r/m - 1)) + r + u, r, 1/2*pi, pi)\n",
" r |--> (T, X, th, ph) = (1/2*(2*abs(-2*m + r)*cosh(-1/4*(4*m*log(2) + 4*m*log(m) - 4*m*log(abs(-2*m + r)) - r - u)/m)*e^(1/4*r/m + 1/4*u/m) - r)*e^(-1/4*u/m)/abs(-2*m + r), 1/2*(2*abs(-2*m + r)*e^(1/4*r/m + 1/4*u/m)*sinh(-1/4*(4*m*log(2) + 4*m*log(m) - 4*m*log(abs(-2*m + r)) - r - u)/m) + r)*e^(-1/4*u/m)/abs(-2*m + r), 1/2*pi, pi)"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"var('u')\n",
"outgeod = M.curve({X_EF: [r + 4*m*ln(abs(r/(2*m)-1)) + u, r, pi/2, pi]}, (r, 0, +oo))\n",
"outgeod.display()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The ingoing family:"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"(0, +Infinity) --> M\n",
" r |--> (te, r, th, ph) = (-r + v, r, 1/2*pi, pi)\n",
" r |--> (T, X, th, ph) = (1/4*(4*m*cosh(-1/4*(r - v)/m)*e^(1/4*r/m + 1/4*v/m) - r*e^(1/2*r/m))*e^(-1/4*v/m)/m, 1/4*(4*m*e^(1/4*r/m + 1/4*v/m)*sinh(-1/4*(r - v)/m) + r*e^(1/2*r/m))*e^(-1/4*v/m)/m, 1/2*pi, pi)"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"var('v')\n",
"ingeod = M.curve({X_EF: [-r + v, r, pi/2, pi]}, (r, 0, +oo))\n",
"ingeod.display()"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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XGWOMMRVyqRSVGzRAtyVL0HLECIAIt0NCICsqMnggyr5/H+LMTI3nErMS4RviC4FAgMgA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3AAAe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\nHxLkquMSD4l2AAAAAElFTkSuQmCC\n",
"text/plain": [
"Graphics object consisting of 34 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"graph = Graphics()\n",
"for u0 in range(-10, 10, 2):\n",
" graph += outgeod.plot(chart=X_KS, ambient_coords=(X,T), prange=(0.01, 1.99), \n",
" parameters={m: 1, u: u0}, color='green', style='-')\n",
" graph += outgeod.plot(chart=X_KS, ambient_coords=(X,T), prange=(2.01, 5), \n",
" parameters={m: 1, u: u0}, color='green', style='-')\n",
" graph += ingeod.plot(chart=X_KS, ambient_coords=(X,T), prange=(0.01, 5), \n",
" parameters={m: 1, v: u0}, color='green', style='--')\n",
"graph += hor\n",
"graph += sing\n",
"show(graph, xmin=-3, xmax=3, ymin=-3, ymax=3)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"graph.save(\"sch_rad_null_geod_KS.pdf\", xmin=-3, xmax=3, ymin=-3, ymax=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Extension to $M_{\\rm III}$ and $M_{\\rm IV}$"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_III, (T, X, th, ph))"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"M_III = M.open_subset('M_III', latex_name=r'M_{\\rm III}', coord_def={X_KS: [X<0, X