{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Carter-Penrose diagram of Schwarzschild spacetime\n",
"\n",
"This worksheet demonstrates a few capabilities of SageMath in computations regarding\n",
"the Carter-Penrose diagram of Schwarzschild spacetime. It is used to illustrate the lectures\n",
"[Geometry and physics of black holes](http://luth.obspm.fr/~luthier/gourgoulhon/bh16/).\n",
"The corresponding tools have been developed within the [SageManifolds](http://sagemanifolds.obspm.fr) project (version 1.3, as included in SageMath 8.3). \n",
"\n",
"Click [here](https://raw.githubusercontent.com/sagemanifolds/SageManifolds/master/Worksheets/v1.3/SM_Carter-Penrose_diag.ipynb) to download the worksheet file (ipynb format). To run it, you must start SageMath with the Jupyter notebook, via the command `sage -n jupyter`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*NB:* a version of SageMath at least equal to 7.5 is required to run this worksheet:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'SageMath version 8.3.rc0, Release Date: 2018-07-08'"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"version()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First we set up the notebook to display mathematical objects using LaTeX formatting:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%display latex"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Spacetime\n",
"\n",
"We declare the spacetime manifold $M$:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"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 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": {},
"outputs": [],
"source": [
"M_SD = M.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": {},
"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', domain='real') ; assume(m>=0)\n",
"X_SD.add_restrictions(r!=2*m)\n",
"X_SD"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"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)\n",
"X_SD_I "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"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)\n",
"X_SD_II"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"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": "code",
"execution_count": 9,
"metadata": {},
"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))]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"M.atlas()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Kruskal-Szekeres coordinates"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M, (T, X, th, ph))"
]
},
"execution_count": 10,
"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": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_I, (T, X, th, ph))"
]
},
"execution_count": 11,
"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": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_II, (T, X, th, ph))"
]
},
"execution_count": 12,
"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": 13,
"metadata": {},
"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": 13,
"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": 14,
"metadata": {},
"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": 14,
"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": "markdown",
"metadata": {},
"source": [
"### Plot of Schwarzschild-Droste grid on $M_{\\rm I}$ in terms of KS coordinates"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"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": "markdown",
"metadata": {},
"source": [
"Adding the Schwarzschild horizon to the plot:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"hor = line([(0,0), (4,4)], color='black', thickness=2) \\\n",
" + text(r'$\\mathscr{H}$', (3, 2.7), fontsize=20, color='black')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
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efRVYtgzo1QtYsYKn0Nq353tDQ1mj6OBBvta4sfl7PHwItGnDIpC//876Ro5EZ4yUUkqpF4BpKHr3XX8sWOCHmjWBAweA6tWBRYu4H+iPPzgj1Lo13xsUxCaxZ88CGzcCNWuav8fdu9yQfe4cr1GvXso/l61pMFJKKaXSOdNQ9M47DEW1awN//gnUrctls3fe4UzPqlVs6wEAt25xdujuXe4rqljR/D0uXuRnHj3iNcqXT4UHSwEajJRSSql0zDQUdejA5bPatdnvrFEj7iN66y0up61bB9Svz5Np7u4MRRERDDuvvGL+HkePAs2asQXI3r1A4cKp82wpQY/rK6WUUumUaShq394fixb5oU4dYM8eLo/NmsUls8BALn/Vr8+ZoQoVuOfIyYmbreMLRdu2AXXqAAUK8JqmoSgsjIHLUWgwUkoppdIh01DUrp0/lizxQ926nP1p3Rr46SfuCTpzBtiyhXuH9u3jzwAgf35g1y7WNDJn8WLOFFWrxkKQuXLFfj0qCnj3XaBJkxR6yBSgwUgppZRKZ0xD0VtvMRTVq8c2Hu3aARMnMrBcu8ZZn8qVWcOocWMgMpJ7hHbuBPLkMX+PH38E3n6bp87WrOEy2vNEWMdo5UqtfK2UUkopOzENRW3a+GPZMr//lsjefZftOxo2BO7dY1AqX54nzurUAR4/5gm1rVuBbNniXl+EBRv79mVD2XnzgAwZ4r5v0iRg8mRg6lQe83cUuvlaKaWUSidMQ9EbbzAUNWjAoNOtG/Dll0CDBsCzZ5wRKloUuHIFqFEDCAnhLNKKFUDGjHGv/+wZizXOnMlWH198Yb4VyPLlnC0aONCxijsCGoyUUkqpdME0FLVu7Y8VK2JC0YcfMqzUqwe4ujIUFSrEfUC1arFWUevW3Dfk6hr3+mFhQMeOXDb79VegSxfz4zhwgLNSbduy6ayj0WCklFJKOTjTUNSypT9WruTy2datXPbq3ZuhyMuLG63z5+d7f/wRuH6doWfePMDZOe71g4O5HHb4MPcMNW9ufhx37gAtW/JE25w5PNHmaBxwyEoppZSKZhqKmjf3x+rVMXuKPvsM6N6doShHDu4pyp+fe4VGjuQ+oS++YPsOc6Hoxg3uPTp1iiErvlAE8FTa4MEMT88vxS1bZrvnTWnaK00pZTXtlaaUfZiGotdf98e6dTGhaNAg9i1r1oz1hTZuBLJnZyj64gtg/Hhg1ChgyBDze4XOnGE1axHWOCpZMmnjE+FepMGD+e+OQJfSlFJKKQdkGoqaNWMoqluXoeirr7iRunFjoHRpVrTOkoV7inr3BmbM4Kmxjz82f/19+zg7lDcvsGED4OOTtPFFRLAZ7ezZwNChVjxoKtNgpJRSSjkY01DUpIk/NmxgKNqxAxgxghuqmzVj9eroOkORkcB773GDdUIbqNet4+bpSpWA1auBrFmTNr6gILYY+fNPYO5c3tNRaDBSSimlHIhpKGrUyB8bN7L32Y4dPAlWoQKrV9epw6PzmTIBT54Ab7wBbN/OYNSmjfnrz53LY/3NmwMLFpg/tp+Qs2eBFi2A+/e5ybtWreQ/qz3o5mullM106NABrVq1wvz58+09FKXSJdNQ1KCBPzZv9kOtWmzdMX489wG1asUltJUrGYpCQoASJYDNm4ElS8yHIhHgu+84i9S1K7B0adJD0fbtbA/i7Azs3+94oQgAIEopZaWQkBABICEhIfYeilLplr+/vwD470/9+v4CiNSoIQKITJkismCBiIuLSNu2IuHh/Ny9eyL58/M9n35q/tpRUSKffcb3DB0qYjQmPJa//hJ5/32RJ09ifjZrloirq0jDhiLBwbZ5ZnvQpTSllFIqjTOdKapb1x/btvmhenVg7142g3V3B955h39mzwZcXIBbt7jH6NYtbrieODHutSMiOEM0fz7bd/Tpk/BYbt/mMp23N/csubnxVNu33wIffMBrmCsQ6Sg0GCmllFJpmGkoqlPHHzt2+KFaNZ4c++UXBpT33wd69mRIcnICLl0CqlYF/vmHr/34Y9xrP3rETdLbtwMLF7K5bEIeP2YBx2fPgLVrGb7ateM+pvHjWTPJ3LF/R6LBSCmllEqjTENRzZr+2LnTD1WqsPXGnDk8AfbZZzx2P2kSg8np00Dt2nytfXtg1qy4geWff7jB+swZYP169k9LSFQUZ6NOn+Z+JhcXoG5d/n3FCsdqFJsQDUZKKaVUGmQaimrU8MeePX6oXJmtOX77Dbh8mctYAwcCY8cy/Bw5AjRsyA3XLVoAAQFxQ9GlSyzcGBrKk2wVKyY+nv79eex/9WrOSFWpwg3bu3ZZ9nlHoafSlFJKqTTGNBRVq+aPvXv9UKkScPQo9wOdPs1Q9M03MaFo926gfn2gaFFWtl66NG6bj2PHgBo1AKOR+5MsCTWTJrEY5NSpnDmqWZPtPw4cSF+hCNAZI6WUUipNMQ1FVav6Y/9+P1SsCJw4wRpEe/YA33/PDc8DB/J9f/wBvPkm9xWtWsWCjqZ27OCSV9GiLOKYO3fi43n0iMf4BwwAwsOB1q3557ffAA8PGz10GqIzRkoppVQaYRqKXnvNHwcO+KFcOeDkSc4AbdrEUDR5ckwoWrqUm6IbNmTgMReKli3j8lmVKtxsbUkoAoDMmVnB+tEj7mWKnolKj6EI0BkjpZRSKk0wDUWvvuqPQ4f8UKYM8PffPPm1dCmP4v/8M0+gAWzt0b07N1nPnWv+qPxPPwEffQS8/TY3bGfIYPm4Hjzg9bdtY3+1Hj2se860TmeMlFJKKTszDUUVK/ojMNAPpUoBFy5waez33xmC5s6NCUWTJ7MGUY8eXNoyDUUi3IPUuzfwySe8RlJC0cWL3I908CCX6tJ7KAI0GCmllFJ2ZRqKKlTwx/HjfihRgqfOVq3ijM+iRexd1qkTA8/IkcCnnwKff87XTTdZR0Wxu/3w4dycPWECT5NZas8e7leKiGC9pMSO86cXupSmlFJK2YlpKCpXzh8nTvihaFHg+nWGoh9+4L6iZcu4j0iEe4u+/x4oVAjInz/ucfynT4F332WvtNmzWeAxKX7/nY1kq1XjfbNnt/5ZHYUGI6WUUsoOTENR2bL+OHXKD0WKsO3GqlXA6NGcuVm9GmjShLNAH33EPUYlSwJXrzK8PO/BA54aO3iQhRdbtLB8TMHBPJo/fDibyU6fzpYfLxINRkoppVQqMw1FZcr448wZPxQqxIrUq1YBQ4eyWOP69awwHRkJdO7MJbUqVVjPaO3a2MHo5k2gWTPONm3ZAlSvbvmY1q0D3niD9xkzBvDzc/z2HsmhwUgppZRKRaahqFQpf5w96wcfH872rFzJI/GnT3MJrXp1ICyMPck2bgQaNQI2b2Y9o0aNYq779988jh8VxUKPpUpZPqbdu1nfSITFIzt0sOEDOxjdfK2UUkqlEtNQ9Mor/rhwwQ9587JB6/LlPD127hywdStD0cOH7Ga/dSsbvm7cyGPzbdrEXPfAAVaj9vBgNeukhKJdu1gt22Bg4HqRQxGgwUgpZUMdOnRAq1atMH/+fHsPRak0xzQUlSjhj0uX/JArFytKL17MY/U3b7IA46uvsglsw4ZcUuvWjafSvv+e/x5twwYGmxIlGHIKFLB8TGvW8LMirIpdv77tntdRGURE7D0IpZRjCw0Nhbe3N0JCQuDl5WXv4SiV5piGouLF/XHlih9y5ODff/+dtYkeP+beoFdeAW7d4obr27dZQ+jvv7m8NmJEzHV/+411jJo1AxYuBDJlsnxM//sf0LcvZ4o2bmQASynz5gHvvZdy17clDUZKKatpMFIqfqahqGhRf1y/7oesWVmQcc4chhsRhqIiRVi/qFEjHrvftIkn0Ex9/z33InXrxtNjLhbuGo6KYt+zSZP494AAoGNH65/TnLAwLg3OnMnncwS6+VoppZRKIaah6OWX/XHjhh+8vXkM/pdfOJPi7s5QVLAgcOYMQ5G7OzdFv/RS7GsajaxjNH48MHgwj/Rbenrs4UOGoA0bgMaNgTp1Ui4UnT/PDeNnzvA5HYUGI6WUUioFmIaiwoX9cfu2Hzw92Zj1p5+Ad94BsmXjpud8+biXqGlTNnjdtAnImzf2NSMjOUP0+++c8fnkE8vHc/UqC0Revsy9Rc2apdwszrJlnAXLnZtVs8uXT5n7pATdfK2UUkrZmGkoeuklf9y544eMGYGsWYEff+RMTe7c3GidLx9nh+rXBwoX5kZo01D06BGP1C9cyOWvpISiAwdY+yg0lKfWmjXjz21dpygiAujfn6fnmjQBDh1yrFAEaDBSSimlbMo0FBUq5I9//vGDuzuD0A8/8Ej8Sy+xY32uXNxc3aQJULEil9RMW3Dcu8fN0bt3sxBjUo7UL1nCApEvvwzs3w+ULm2b5zR17RpQrx4wdSpnsxYtAry8gGfPWFHbUWgwUkoppWzENBQVLOiPoCA/uLqyp5m/P0NNqVJcPsuWDVi6lEtcDRoAs2ZxCeru3ZhrXr7MGkWXL3Mm6fmijgkRYQXrdu2AN99kHaRcuWz6uP/ZsIGh7vp1lgz45JOY2aihQzlb5Sg0GCmllFI2YBqKChTwR3CwH5yduTz2zTdcPqtcmTNE3t48kda+PZeeZs1iS44//wSePOE1jh8HatTgrMuePUClSpaNJTycAevLL4Fhw7gnyd3d9s8cFQV8/TULUFapAgQGAlWrxry+di3w7bfABx/Y/t4pRpRSykohISECQEJCQuw9FKXswt/fXwD89yd/fn/x8hLJnFnktddEFiwQcXMTadZM5MkTfmbyZBFApGdPkZAQkerVRbJlEzl5kq/v2CHi7S1SoYLIrVuWj+XePZE6dUQyZBD5/XdeJzzc9s98+7ZIw4YiTk4iY8aIREXFfv3KFT5PixZxX0vLdMZIKaWUsoLpTFG+fP549MgPUVFA2bLAxx/zSH6zZux27+4OjBrF5abPPwemTOGs0YkTXJIqVYqtQZo0YfXrHTuAPHksG8vff3PG5tQp7l8qUIBLb1Om2PaZd+3i0tlff3FP1ODBgNNzieLZM564y5yZs2JOjpQ27J3MlFKOT2eM1IvKdKYob15/8fYWyZRJpFYtkZkzRZydRd5+WyQiQsRoFPn8c84UjRwp8uyZSIcOnN3ZvJnXnD6dszDt24s8fWr5WLZuFcmSRaRkSZGLF0UuXRLJkUOkXj3e2xaiokS+/ZbPVLeuyM2b5t83bBifYfdu29w3NWkwUkpZTYORehGZhqI8efwlSxaRjBkZRn78UcRgEOnShQHo2TORDz5gKJo0iSGpTx8GiCVL+Pfhw/l6375JW36aOVPExUWkcWOR4GCR0FCRsmVFXn6ZS2u2EBTEZTFAZMgQkchI8+/buZPPNHy4be6b2jQYKaWspsFIvWhMQ1Hu3P6SNSv3ETVqJDJhAgNEr14MOBERIh07MjDMns1rhIZy/9DPPzM09erFz4wezZBkiagokS++iLlXRAR/1qqViKenyF9/2eZ5DxwQKVSIe4bWrk34vd26idSuzWdyRBqMlFJW02CkXiSmoShXLn/Jlo3LYb6+ImPHMqj068eA8+QJZ1pcXTkz9LzwcJGwMJE2bRiaZs60fByPHom88QZnpSZMiAlTgwfzZ2vWWP+sRqPI1Kl8tipVRC5fTvwzUVGctXJUGoyUUlbTYKReFKahKGdOhiJXV5GWLbm3BmA4MRo5K1S/PpfXNmyIe70HD7hXx91dZOVKy8dx44ZIpUoiHh4iq1bF/DwggPf/7jtrn5Rj79CB1/v445Q52ZYWaa80pZRSygKmp89y5PCH0eiH0FAWaCxeHBg+HBg5kkUN798HfH3ZRHXjRqBWrdjXu3WLr1+5wmKPNWtaNo7AQN7PYGAl7AoVYl6rXJl1hQYMsO5ZT5wA2rblGBctYpHIF4VBJKVayCmlXhShoaHw9vaGr68vXFxc0LFjR3RMqZbdStmBaSjKnt0fgB+Cgxkg8uQBJk8GvvuOR/Bv3eJx+9u3WczRtDDj2bNsFhsZydctbdOxahWLRJYsyX/Pl892zxhtzhygd2+gaFG2Eyle3Pb3SMs0GCmlrBYdjEJCQuDl5WXv4ShlU6ahKFs2fzg5+SEoiCHF0xOYPp09wvr0YeuORo2AsDDOBJWLRsdzAAAgAElEQVQsGft6Bw+yUnTOnKxbVLBg4mMQYY+1L75ge4+5cwEPD9s+Z1gYay798gvQrRufJ2NG297DEThSySWllFIqVZmGoixZ/OHszFDUuTPg4gL8/DMwcyZD0d9/A7VrM8js3s1QdPkysGwZP79xI1C/Pmdjdu2yLBRFRgK9enEmauBAYPFi24eic+eAatWAgABg9myGoxcxFAGA7jFSSimlzDANRd7e/nB19cM//3BG5fFjLjXNmwe8+y5w9CiXz3LlYgDKl4/NYBs35n6ghw+BHj24hLZoEZApU+JjCA7m/p4dO2IazNrakiV8nrx5gf37Wa3bEnfusA/ayJG2D2r2pDNGSimllAlzocjNjaHoww+5sXrpUmDhQoaivXuBevWAQoUYYvLlA0JD2Qbk0SO2/Hj/faBTJ7b7sCQUXbjABrJHjgCbNtk+FEVEAP36MXj5+nKJz9JQZDQCXbpwhunxY9uOy940GCmllFLPMQ1FXl4MRXfvcrns6lVg3ToGnLfeYmhp3Jinw7ZsAbJnB54+BVq1Yrhp1gwYPRrw8+Osj6tr4mPYvZs9z6KigH37GLqeFxjI+ybX1atAnTrA//7HPmoLFgBJ2R44cSI3jc+dyxmydMW+1QKUUumB1jFS6YVpnSJPT3/JlSumYGN0TaKNG/n+ZctY/LB5cxZyFGGrjDfeYBXsZs342QkTLB/DvHm8Zt265tt53LkjUrCgSNWqyetav24dK1gXKiSyf3/SP3/4MOs2DRiQ9M86Ag1GSimraTBS6YFpKMqcOSYUDRggUrOmSObMIjt28P1z5sQ0iI0ufmg0inTvzirWlSszQAQEWHb/qCiRoUN5v/ffN19QMSKCgSlXLpGrV5P2fJGR7HEGMMgFBSXt8yIiDx+KFC/O4pLpteCjBiOllNU0GClHZxqKPDz8JXduhohBg0Ree03E21vkzz/5/qlT+VqPHrF7gm3bxp+//DJDVPTMUmKePBFp356f9fePv1faxx+zWeyuXUl7vlu32NjWyYnXT85MkwhDX6ZMImfOJO/zjkCDkVLKahqMlCNLKBQNGcJGr9mzcwnJaGSTV0Ckf/+4AebKFZHChUVy5hQ5dMiy+9++zWWxjBnj9lJ73qxZvO+0aUl7vm3bRPLk4Z/t25P22ectXsz7//JL8q/hCDQYKaWspsFIOSrTUJQpU8zy2VdfiZQqJZI7t8iJEwxBAwfyteHD44aiEydE8uVjMDp71rL7nzjBvT558ogcPBj/+/bt476jnj3jn00yFRUlMmYMZ4nq1+eskTUuXjT/3OmNBiOlVBxjxoyRypUrS+bMmSVnzpzSunVrOZPA3LkGI+WITENRxowxoWjYMJFixUTy5+ey0bNnIh9+yNcmTox7rV27RLJk4eySpQFk/XoRT0+R8uUT3i8UHMzAVaOGyNOnll373j2R11/neL/8MvZyn0qYHtdXSsWxY8cO9OnTB/v27cOmTZvw7NkzNGnSBI/TW8ES9cIyPZLv7u4PT08eyR8+nP3CIiOBnTuBl19mlesZM1gR+tNPY19r1Soe169YEdi+nX3TEjN1KtC8OVC3LitgFygQ/3u9vYFvvmEhRje3xK994AB7s+3bB6xdC4waBTg7J/459S97JzOlVNp39+5dASA7oo/jmNAZI+VITGeK3NxiZopGjeIsUdGinMUJCxNp2ZKnyxYtinutGTO4VNW2rWWzOZGRIn378l6ffWbbmRyjUWTyZI61alWRy5dtd+0XibYEUUolKiQkBACQLVs2O49EKeuYzhS5ufnD25szRaNGsdhh9uxs/urpyVmdvXuBlStZHTra7dvAtGnAiBEs+jhpUuKzMqGhQIcObBcybRr7n9lKaCjbjSxezBmtceOADBlsd/0XiQYjpVSCRAT9+/dHrVq1UKZMGXsPR6lkMw1FGTL4w8uLbT5Gj2b3eh8fVpR2dgYaNQJOnWKF5zp1Yq4TFASULs22ICNHAl9+yV5oCblyBWjRArh2DVi/nktvtnL8ONC2LcPa4sX8d5V8GoyUUgnq27cvjh8/jt27d9t7KEolm7lQ5O3th6Aghptx44DixYENG9hDrGFD4OZNYOtWoHLlmOs8eAC88gpD0fDhwNChid97/36gdWv2R9u7FyhVynbPNXs28NFHHPvhw0CxYra5blgYkDGjba7laHTztVIqXh9//DFWrVqFbdu2wcfHJ9H3FytWDHny5MGrr76KVq1aoVWrVpg/f34qjFSp+JmGIldXhqLgYIabsWOBMmW4fPbwIVC7NnDvHjdePx+KgoIYPO7d42e+/jrxey9ezD5nRYowINkqFD15wqay3bqxie2+fbYNRZUrA5Mn2+Z60dd0GPbe5KSUSnuMRqP06dNH8uXLJ2ctKMiim69VWmW60drV1V9y5OAG5REjWFSxQQO2ujhzRqRAAdYhunAh9nVu3mSRR0Bk7NjE72s0ciM3IPLOO9zEbclnJk7k8fyE/P23SNmyHPuvvyZ+3aT69FP2eTt50jbX27xZpEgR21wrNWgwUkrF0bt3b/H29pbt27fLrVu3/vvzJLpLpgkNRiotMg1FLi4MRRkyiHzzDb/8fX3ZjiMwkNWqS5USuX499nXOnmWNouhTa4l5+lSkc+f4C0HGZ+JEfmbZsvjfs3AhW42UKCFy/Lhl102KLVuS3vQ2PvfuiXTpwuvVqWP99VKLBiOlVBzPf5k8/2f27Nlm36/BSKU15kJR9uwi7u4iX3/NGaM33mCI2bOHfdBefVXkn39iX+fgQRZhjO6Zlph//hGpXZuhy9LmsSJs2+HsLPLFF+ZfDw9nnzSATWtDQy2/tqUePOCMWb16ye+lJsIg+NtvIjlyMFDOmGHd9VKbBiOllNU0GKm0xDQUOTszFGXKxCrQzs4iHTqwU/2mTfx5nToipv/z3bhRxMNDpGJFVsJObObn9GkuGeXMybBlqWvX+JmGDVnnyNTlyyJVqjDMTZ2aci05unQR8fKyrv7RpUsizZoxwLVvb30bEnvQYKSUspoGI5VWmAtF2bIx4Pj5iRgMIu+/z8KKy5dzWc3XV+Tx49jXCQhgEHn9dZFHjxK/75YtnB0pVYo9xSwVHi5SrRpnau7ejfv6mjUiWbOyn9qBA5ZfN6mWLWOYSe6epchIke+/Z8gsUEBk9Wrbji81aTBSSllNg5FKC0xDkZMTQ5Gnp8iAAfzi792byzpz53LmqF07hpPnRe/16dyZs0qJmTFDxMVFpEkTLkclRZ8+DGf798f+eWSkyODBHEeLFiJBQUm7blJERIgULMilxeTMRh05wmVIg0Hkk09SZpkvNWkwUkpZTYORsjdzoShrVu4d+uSTmBYcRqPIjz/y7927x27JYTRyVgkQGTgw8ZDw7JnI55/HBC5zy2AJWbCAn50+PfbPb94UqVuXwW3s2NTZn3P6tMidO0n7zKNHfH5nZ56SMw13jkqDkVLKahqMlD2ZC0VZsnAJqndvho8hQxh0xoyJHZKiRURwiQ0Q+eGHxO/56JFI69bskzZxYvJmWu7cERk/PvZnt20TyZ1bJG9ekXhaE6YJf/zBsgZubvydWjKz5ig0GCmlrKbBSNmLaSgyGBiKcuQQ6dGDQWfkSIaPQYP492++iR1GHj8Wad6cy2G//Zb4Pa9f54bszJm5B8gWoqJERo9m0GrQQOT2bdtc19bu3hXp1Im/xwYNWMogvdGWIEoppRySaUVrg4G9zzJkAJo2BWbOBL7/HvjsMzZ6nTYNmDAB6Ncv5hpBQexhduIEULcu4OWV8D2PHAFatmQvtT17gHLlrH+OoCCgc2f2UBs6FBg2LPGGtKlNBJg3D+jfHzAa2YqkS5fEe8Q5Im0JopRSyuGYC0Wenn7IlAlo0IBf4j/+CHzyCUPH9OnAL7/EDkVXr7L9x/nzgK8vsG0bA0B8Vq7k+/PnZ3sPW4Si/fuBSpX4z3XrgBEj0l4ounABaNKEQahJE+D0aeD999NnKAI0GCmllHIwpqEI8EfmzH7w8gKqVQMWLmQI6tYNaNcOWLQIWLCAf4928iRQowZ7eHXuDCxZAvz0E9CqVdz7iXDm6c03gddfB7ZvB/Lmte4ZRNiLLDpoBQYCzZpZd01bi4xkc92yZYFz5xjcAgKA3LntPbIUZu+1PKWU49M9Riq1mO4pAvzF05PHzZs35wmpgAD2PmvYkJWu162LfY3du1lzqFw5tr6I3ndkTkREzF6lwYNtc0IsJIRlAqI3gZuWC0hJRiN7wiXm4EGR8uW556l/f/4+XxQajJRSVtNgpFKDuVCUObPISy+xhpCrq8jSpSL377Nooqdn3JNdK1cyLNWtK7J4MYNUz57mT5Xdv88Nxq6uIvF0w7FIWJjIihX896NHRYoWZYXpJUuSf83kWrCAYefECfOvP3zIsObkJFKhAgPSi0aDkVLKahqMVEozF4o8PNiCo149Hhtfs4anucqVE8mePe6X+syZ/MJv04YtOzw8RFq2NF9/6Px5NmrNlk1k+3brxt69O8PYd9/xn+XLi5w7Z901k+Off9h6pG1b86+vW8cK2xkziowbl/S6TOmFBiOllNU0GKmUZC4UZcokUqyYSI0a/CLftEnkyhX+LG9ekZMnYz5vNIqMGsWlq169WJjR31+katW4rUBERHbuZLAqVsz64+gzZvC+tWrxnz16iDx5Yt01k+vdd1nbybR/2e3b7B0HiDRuLHLhgn3Gl1ZoMFJKWS06GPn6+krLli0lICltxZVKQHyhqGRJkddeYy2hnTtF/v6bPboKF479xR4VJdK3L7/0hw+PvWQWFhb3fnPmcOmsXj3r23AcOcJrZc3K8DZnjnXXs8aaNfwdPD8Go1Fk1iyOL3t2tklJqQa1jkSDkVLKajpjpFKCuVCUMaNI6dLc/5Ili8i+fdy3kysXG7hevx7z+adP2eHdyUnkp58SvldUlMiXXzI8dOtm/YbokBBWsHZyEilePP49PanhwQOR/PnZ9T46+Jw9K1K/Pp/3vfe4zKZICzwqpZRKc8wdyXd390OxYsCzZ8C1a8DWrcDTp0C9ekCRIsCGDUCOHHx3aCiP1+/ZAyxeDLRpE/+9wsJYo2fxYmDsWGDgQOtq9Dx9ytpEd+6weGRAAODpmfzrWWvQICAkhLWcnj0DvvuO9ZLy5QM2bgQaN7bf2NIiDUZKKaXSFHOhyM3ND6+8Ajx5wi/5HTuAW7eAN95gCFmzJqZq9Z07LNh44QLwxx+saB2f27eB1q1Z+Xrp0oQDlCUuX2ZQu3IF6NED+Pln+xZCvHaNVaonTODvq0UL4NQpVrD+5hsgUyb7jS2t0gKPSiml0oz4QlGZMpwFevIE2LmT1aqbN2eBxA0bYkLR+fMs3Hj7NrBrV8Kh6MQJoGpVhoedO60PRWvWMKSFhbEy9IwZ9q8OXaAAsG8fq1VXrw5kyAAcPMjCjRqKzNNgpJRSKk0wF4oyZPBDuXLA3bvs0bVzJ3DgAPDWW5zpWbky5gv+yBGgZk3AxQXYu5ctO/buBcLD495r/Xq+N2tWtuOoXDn54372DPDzYw+12rWBM2c4S5MWrF7Nat6zZrF69759QMWK9h5V2qbBSCmllN2ZC0Wurn6oVIkzOu7unAFavx547z3uCZo/nzMgALBlC2eHXnoJ2L2b/9y5E6hfn8tIz5syhUtKdevyvQUKJH/cN28CDRsydHz7LbBiBcOWvd26BbRvz1BUpgxboPTvz9CoEmHv3d9KKcenp9KUNcydPnNxYY2inDl5Cu3WLdYeAkT69YvdmmPBAh6Lb9o0pnXFyZM8tdagQcwJs8hIkT59YlpxPHtm3bi3bOFpuLx5WTIgLYiKEvn5ZxFvb/7uAgL0CH5SaTBSSllNg5FKLnOhyNmZBRGzZuWx/Lt3RQYNYqAZNiz2F/3kySIGg0inTuxrJiJy4wZ7p5Uty6PqIjw+7+vLFiCJHd1PTFSUyMiRPIrfsKHInTvWXc9WzpwRqVOHv6euXUXu3bP3iByTBiOllNU0GKnkiC8U1a7NXmJVqvDLvXdvftn/8EPMZ41GkSFD+PMBA2JmkB4+FKlYkXV7rl3jzy5fFilThrMoGzdaN+Z//mE9IINB5OuvrZ91soXwcJERI0QyZGAfti1b7D0ix6bBSCllNQ1GKqnMhSInJzZ39fDgjNG9e2xjYTCwz1m0yEgWYQTYf+z5nzdvzuaxx47xZ3/+yeWuwoVFTp2ybsx797K6do4cIn/8wXB2965117TW3r1canRxEfHzs28hyfRCN18rpZRKVeY2WhsMfqhThyfEqlXjJubu3YGFC4EFC/jvAI/rt2kDzJ3LP59/HnOVoUN5dH/JEp5IW7iQNYWKFeN1S5ZM3nhFgIkTgTp1uFE7MBBo0gSYNAkoXRoICkrubyL5QkOBPn14ss7DAzh8GKhQgX/OnEn98aQr9k5mSinHpzNGylLmZooMBrancHXljM8//3Dvjru7yNq1MZ8NCuKG7EyZRNavj3vtc+e4Edto5NISwL1HT58mf7wPHoi0aROzZBe9j2nfPs7S9O+f/Gsn1/LlXCr08BCZNInLeSEh3AT+5pupP570RoORUspqGoyUJcyFIoChyNmZAeT2bZFq1bgctn17zGevXmUvtOzZGUri8/QpwxDAcGTNiazAQJEiRbg3afnymJ8HB4sUKsRxRgel1HDjBoMPINKihciVKzGv9evHwPj8z1TyaDBSSllNg5FKTHyhqEED7iF65x02gC1XTiRbNpGDB2M+e/KkiI8Pw8iZM/Hf4+5dkZo1RdzcOHOUXEajyIwZvE7FiiLnz8d+7e23GZYuXUr+PZIiKkpk2jRuSM+dW2ThwtiBLzCQJ+S+/TZ1xpPeaTBSSllNg5FKSEKhKLqb/cWLIsWKcTnor79iPrt3L4/tly3LGZP4nDol8vLL3Gj955/JH+ujR+w2D4h88IFIWFjs12fN4mvWBK+kOHmSYQ8Q6dFD5P792K9HRYlUr87ZtNScvUrPNBgppaymwUjFJ6HlM0Dko49ETp/maa/ChUUuXIj57OrVIhkzsjZPcHD899i0iTM4pUtbN4tz+jSvkSmTyLx5cV//+2/u6+naNfn3sNTTp6zZ5OoqUrx47GXF582Ywd/jjh0pP6YXhQYjpZTVooORr6+vtGzZUgICAuw9JJUGmIYig4GhqF69mM3MgYGc5SlZkktp0WbN4r6jN9+MO2vzvOnT+b5mzbgBObkCAhh6SpbkLI05X3/NkBJdXTul7Nwp8sor3Nw9dGj8zx8Wxt9d584pO54XjQYjpZTVdMZImYovFNWty1A0dKjInj1s2/HqqzyJJsK9M9GtPz74IG4BRaNRpFcvnkrr35/v69OHNYyS4+lTzloB3OeUUOgxGlO2mnRwMJ8Z4PKYJTWJjh1LO5W30wsNRkopq2kwUs+LLxTVrs0v/dGjufzl4cGfRbftiIoS+eQT860/on31FV+vXJkbjidPTv44L17kdTJk4OZme/UUMxpFFi8WyZOHp/GmTo3dC06lLu2zq5RSymZMizcaDP4Q8UONGsCuXcAPPwAvvww0bw40aAAsXQpkygSEhwPvv8+ijNOmAb16xb323LnAyJFA3rwsYrh6NfD668kb5+rVQOfOQNaswN69wKuvJu861rp+nYUaV60CWrcGpk4FfHzsMxZFWvlaKaWUTcQXiqpVY/iYNg3ImRN46y2GgJUrGYoePgRatACWLQMWLzYfinbuZPXrTJkAFxdgz57khaLISGDQIKBVK6BuXVaMtkcoiopiCCpZEjh4kAFx+XINRWmBBiOllFJWiy8UVakCHDgAzJ4NGI3Ae+8BXboA8+cDGTIAd++ybceBA8AffzA0mTp/njNMRiNbcBw4wJYfSXXjBmepxo8Hvv+eQSRr1uQ/c3KdOAHUqgV8/DHQqRNw+jTbnBgMqT+W1HLkiL1HYDkNRkoppawSXyiqVIkzMr//Dty+zSWjfv2AGTMAZ2fg4kX2+rp5kzNC9erFvfb9+0D16sCjR0DLlsCOHUCePEkf4+bNQMWKwKVLvMaAAakfRJ4+ZT+3SpWAkBAuLU6bBnh7p+447OHbb+09AstpMFJKKZVs8YWiChU4M7JoEXD0KDB4MDBsGPcYOTmxEWuNGgwne/cC5cvHvXZEBGeK7t0DevfmUlvGjEkbn9EIjBjBpq8VKvC+NWsm/JnHj4HPPmMos5Xt2znLNW4cw1FgIGeNkiIqynbjSU3nz7Oxr8Ow9+5vpZTj01NpLyZzp88MBlapdncXWbNGpHdvniL74YeYz23ZwtNXlSuzjYc5QUExjWUnTkze+O7eFWnShC1Hvvkm7tH/+HzwAQtLnjqVvPs+LyhIpHt3/g5q1Ur+NaOi2ED3p5+sH1Nq+/BD1ltyFBqMlFJW02D04jENRU5O/uLkxAKJmTKJbNzIZq4Gg8jMmTGfW7SIx+ObNIm/ZtDZsyykmD07ix0mx5497ECfMyfHYqnVqxlipk9P3n2jGY1sG5IrF3uc/fSTdUfwf/2V49q927pxpbabN/nfe8wYe4/EchqMlFJW02D0YjEXipydGWY8PUU2bxZp3ZqVmxcujPnc1KkMSu++KxIebv7aO3awiWyJEiLnziV9bEajyPjxvHfNmrGraSfmn3/YpLV5c+tqGl25wmsAIm3aJNzjzRKPHonkyyfSvr1117GH0aP5v4mEWrqkNRqMlFJW02D04ogvFBUpwmav27eLNGzIpbS1a/kZo5GVrgGRzz6Lf+bk11+5dNagQdxmqZZ48IBBBBD5/POkNVU1GkXeeouzVLduJf3eIlyqmziRhSvz5xdZvjx51zH19dcibm7W9YGzl2fPWJ3bkWgwUkpZTYPRi8FcKHJxESlUSCRHDi57Va8ukjlzTNPTyEh2hQdExo0zPxMTFSUyeHBMB/nkdIk/ckTk5ZfZTHbFiqR/ft483n/x4qR/VoRf/lWqcEasTx/r+rY979o17nfy87PN9ezl8mV7j8ByGoyUUlbTYJT+mQtFrq4iPj5sZbFjh0j58lwGO3CAn3nyRKRVKzZ5nTPH/HUfPxZp25aB4ttvk76EZTRyP5CbG3uuXbiQ9Ge7epWB6t13k/7ZJ08YWlxcREqXFtm7N+nXSEinTtyn5Kj/p3X0KH+vzs72HonlNBgppaymwSh9MxeKMmQQyZtXpEABzg4VL86/Rzc+vX+fp7AyZYpZUjN165bIa6/xPTVqcCkrKR49EnnvPc709O4dfxf6xNy+LdKtW9KX7zZv5hJihgwiI0fGv28qufbv57P9/LNtr5vSjEaRrVtFmjbl+AsWTP7JQnvQYKSUspoGo/TLXChyd+csRuHC/AIsUEDkpZdEzp/nZ65fFylThrNHf/5p/rrHjvFz+fLxODcgsmyZ5eM6fZozNB4eIr//bv1zJsW9eyJdunDMdeuKnDmTMvc5elSka1fLywzY27NnPHVYuTJ/N+XL879NcpZG7UmDkVLKahqM0qf4QlH27Jwh2riRp7hKlow5/XX6NGcIChTgv5uzdi33IVWsyGPsgMioUZaPKyCAgahUKdvUGrKU0cgv+pw5RbJkEZkxw7oj+OnFkyci06Zx9gxg/akNG6w72WdPGoyUUlaLDka+vr7SsmVLCQgIsPeQlJXMhaKMGRkIypRhuMmSRaRSpZgijX/+yVmi0qW5adiU0SgyaZKIkxP3Hu3ezY3FHTpY9iUaFhZTMPK997iUllouXRJp1oz3bt8++SfX0pOgIAbaXLn437Rdu5j9ZY5Mg5FSymo6Y5S+mAtFHh6sR1OpEpe8PDy4h+jBA35m7VqGnFq1zO/ViYwU+eijmKP0169z43blypxxSMyFC7y3mxv33KTWbERkpMj333MfVIECLAD5ortyRaRfP/5vwM1NpFevmJpTf/7J2lWOPJOmwUgpZTUNRumHuVCUOTO/BKtV41KSmxs31j5+zM/8+itPHbVubT7kPHjA97u4MNSEhfFa+fJZVvxwxQqeGnv5ZZHDh237vAk5coQn3QwGkU8+EQkNTb17p0XHj3OmzsWFNauGDuXG9ec1bMjfmaMuo4loMFJK2YAGo/TBXCjy8uJMUJ06bO3h7Mzj9eHh/PL79lvOAvXsydkVUxcvci+QtzdPcT3/s8SWXSIiOLsEiLzxhm2qJ1vyhf3oEe/r7My+b/v3W39fR2U08tTh66/zv0OBAiITJphv53LwIN+zaFHqj9OWNBgppaymwcjxxReKMmQQadyYe4MMBp6SiozkUslnn/GL8KuvzAeOvXu5Ufnll+NuxE7spNX162zp4eLCpSxbzUB8+SWLSMZ3vT/+4Gk7d3cRf3/HO1FlK8+eiSxdyqKVAPeVzZ2b8O+jbVuRokUd5xRdfDQYKaWspsHIsZkLRVmysD1Hixas0QNwOSkqirNF77zDoDR1qvlrBgRwya1WLfYgS4qNG1lJO39+2zZNDQxk0Prmm7iv3b3LYooAW5Ikp0+btZYti1metJewMBbMLFaMv4t69bh/LLFgeukS//fw00+pMswUpcFIKWU1DUaOy1woypqVy0hvvSUycGDsWaHQUJEmTTiTZG7JxGgUGT485uTY06eWj+XZM4YWg4H3iD7tZguRkdy8XbZs7EKMRiOrcmfPzhN1s2fbZ3/MoUP8nc2bl/r3FuGG+TFjWH7BYOB/+337LP+8nx+XS1PzpGBK0WCklLKaBiPHFF8oMhg4IxR9NP777/n+O3d4iszTk4UdTYWFsf1DdF2ipASMu3e5ZGcwMFjZejlm7FgeKX9+X9P58yKNGnG877zD57OXZs1ESpQwv08rJV27JjJgAOtKubmx2ObZs0m7xtOnnOH79NOUGWNq02CklLKaBiPHYxqKDAZ/yZaNIaFbNwYcgyGmHcXFi9w/kjs3T2uZunuXbT3c3XlcOyl27+ayWc6cIps2Wf9sps6c4Zf+55/z7xER3DSeMSMb4K5bZ/t7Jqah2ccAACAASURBVMWuXfy9J/X3Zo2//mL1bhcX1qMaMiTuCTNL/fYbx59SFcBTmwYjpZTVNBg5loRCUe/ePHbv4iIyfz7ff/QoG8UWLWq+SevJk9ywnCtX3OWX6IrY5hiNnI1yduZepITem1xRUbx20aLcv3PwoEiFCpw96t/f/ks/RiNP/JUvn/K1f4xGkZ07uW8MYB2p8eOtL0Nw/77jn0R7ngYjpZTVNBg5DnOhKHt2flH268c6NO7uImvW8P3btol4ebE2jbmlpo0bubekTBmRy5djv7ZoEWdqjh2L+7ngYB7BB7iPKaVOf/34I++xbh1P0Tk5MRgdPJgy90uqjRs5vlWrUu4eUVHc2F2tGu9VujT3Vdm66W16ocFIKWU1DUaOIaFQNGgQvzgzZ2YYEhFZsoSbrBs1Mj+rMG0aZ3t8fUVM/9MfO8Zq0W+/HXev0eHDPMKfJYvIypUp8qj/uXpVpE8fLpllzCgyblzq7+OJj9Eo8tprIlWrpsyG77Aw9nMrXpz/jWvXZuB15OKLqUGDkVLKahqM0r6EQtGXX3IpJ1u2mGKG//sf9xh16BB3ZuHZM84uASJ9+8YNGkFBXForXz72UpXRyOPcbm7cxH3xYso+8+3bIh07cpyNG5tfBrSndes4tujCl7YSHMwaTHny8L9hmzZs1aEso8FIKWU1DUZpm7lQlCMHv5SHDeOMQp48IidOMLx8/TVf+/TTuPteHj4UadmSS1JTpsS9V2QkZ5iyZ2dtm+c/F31i7aOPknaMP6mMRpFZs9i2Int2FiZMi7MkkZG27b12/To3mHt6cqavZ8/0syE6NWkwUkpZTYNR2pVQKBoxQqRgQZGXXuLR9WfPRD74gK+NHRs3TFy9ylkgT8/4T3INGMDltS1bYn528qRIyZLstxa9oTulnD0rUr9+TB2lpBaXdEQnT7Iiuasr93v5+YncvGnvUTkuDUZKKatpMEqb4ls+MxhYZyh3bpFXXmEtm7AwkTffZKiZPTvutQ4eFMmbl3t1Tpwwf7+FCxlIfvgh5mfz5nGvUenScduC2FJEBAsUurlxGW/jxpS7V1qxe7dIq1b8nefPzxN++n+C1tNgpJSymgajtCe+UOTszBYfWbKIVKzI+kPBwdyYmzGj+aWdpUv5WtWqCde6+e47Fko0Ghm0omefOndO2WPx+/axorWzs8gXX9i/rUZKiooSWbGCNaMANuOdNSv1T5il9P4we9JgpJSyWnQw8vX1lZYtW0pAQIC9h/RCMw1FAOsUubpy+czDg7V9HjwQuXGDoSJrVjZ9fZ7RyE28AE+XPXmS+L2NRi7LVazI2ZsZM1Juf09oqMjHH3MG7NVXedotvXr6VOSXXzjDF33CbPXqlK99ZM6tW6xzNXdu6t87NWgwUkpZTWeM0g5zoShrVoaUYcP4z6ZNOaty5gyXxnx8uE/leeHh3LcCiAwdavkX8LJl3OdSpAibtqaU1atFChTgMt348dzIPGaMSK9eaXOjdXI9eMAq3XnzMgC2bh03wKa2kSM5gxgcbN9xpBQNRkopq2kwShvMhaIsWRgehgzhUlObNpx92L+fJ7ZKleKm6ufduydSty5PNlk6KxARwUrSAO/x4IHNH09EOFvRrh3v06xZzMm3ixdZmPKLL1Lmvqnt5k0WvvTy4n+HHj1Sdo+WpSIjGaR79LD3SFKOBiOllNU0GNlffKHI05NHuA0Gkfff5xfb+vUMSzVrsubQ886eFSlWjKFp1y7L7n3tGve8uLiITJiQMjM2UVHs25YlC3uqBQTE3MdoFGnenF/YDx/a/t62smkTi2Ym9Ps5fVqke3eGIS8vFt68cSP1xpiYFSsYStPzsqUGI6WU1TQY2Ze5UOTtzRDRty+/yD75hOFi7lwGmJYt425S3raNe41eeYX7hCzxxx/srO7jk3JLPGfOsJ8YwHB3717s16O/rJcuTZn724LRyFYkjRubf33vXrZIMRi4bDZuXNo8YdakCTfhp2cajJRSVtNgZD/mQpGXF8NKjx4xe4SMRp4aA0S6dYtbrXrWLG7Obtgw8b0j4eHc+Pz11/wib9o0ZeoFhYdzs3iGDNyz9HxtpGiPHrEW0+uvp+29RX/8EbfKdVQU90rVqsXXXnmFG6xTsvilNS5d4jh//dXeI0lZGoyUUlbTYGQf5kKRpyerWL/zDr/EvvuOX8ADBvDvQ4bEDhBRUSwICPB4vSXNXLt35zKPkxM34qbEyai9e1n7yNmZ44vvRJyfH/cWpbV2H6bq12cbFKORgW/2bO7vArgMuXKlfU6YJcXo0VyCTcvLlbagwUgpZTUNRqnPXCjKnJkntaKXZKZPZ9Dp1Il/nzw59jUePxZ56y2+Nn68ZTMuI0bwy9zT0/wMjrVCQtgyxGAQqVKFzWjjc/IklwVHjLD9OGxp/37+zubOZRHG/Pn591atWKTRUYwZw6XZ9E6DkVLKahqMUpe5UJQpE1t7NG3KsBAQwP/PvmlTLpEtXBj7GjdvcgYjUybLOtwbjdwIDHCZ7vp12z/X8uUMDR4eIpMmsUVJQi5d4ixXWl16ivb669y75e3N/xZdu8Ytj6DSDoOICJRSygqhoaHw9vZGSEgIvLy87D2cdG3s2LEYPHjwcz/xR8aMfvDxAfLkAQ4cAJYsAapWBZo3B86cAZYvBxo2jPnEsWNAixaACLB6NVCxYsL3DA4GOncG1qwBsmQBLlwAsmWz3TPdvAn07ctxNm8O/O9/QMGCtru+vfz9N/DVV8DixYC7O5/x008BHx97j0wlxMXeA1BKKWUZc6HI3d0PL70EeHgAgYHA+vVA4cJArVrAgwfA9u1ApUoxn1izBujYESheHFi1CsifP+F7Hj4MtG0L3LoFuLgAW7faLhQZjcDPPwODBgEZMwILFwLt2gEGg22uby/79gHjxgErVvC5PD2Bc+eA3LntPTJlCSd7D0Aplfbs3LkTLVu2RL58+WAwGLBixQp7D+mFZy4Uubn5oXhxwNmZszhbtgDZswM1agBRUcDevTGhSASYOBFo3ZqzRzt3JhyKRIBp03gtJycgPByYMiXx2SVLnToF1KkD9O4NtG8PnD7NfzpqKDIagbVr+UzVqwMnTzL0nT8PbNyoociRaDBSSsXx+PFjlC9fHlOnTrX3UBTMhyJXVz+ULg08eQLcu8eg8/Qpv5jz5AH27AGKFOG7IyOBjz4CPvsMGDAAWLaMM0zxefQIePddfqZnT6BAAaBDB+DDD61/lvBw4JtvgAoVgH/+4YzWjBlA1qzWX9seIiKAOXOAcuW4PBkZySXB06eBHj2AvHmBatXsPUqVJPbe5KSUStsAyPLlyxN8j26+TjnmNlq7uPDElo8Pe52dO8fihm5uIg0axC4MGBzMooIuLmzompgTJ1hPJ3NmkQUL+LOnT21zRHvnTl7bxYW1lcLCrL+mvYSG8iSfjw83pDdvzudLy7WUlGV0xkgppdIoczNFzs5+qFIFuHwZyJwZ2L0b2LyZe3NatwbWrQOi979fusSlsIMHgT/+4AxGQubN46ZtFxfg0CHg7bf5czc33iu5HjzgbFOdOty8HRgIjBzJDcmO5s4d4MsvuTl80CCgQQPgxAnu3apd23GXAlUMDUZKKZUGmQtFBoMfqlfn/pz8+YEdO4BffuE+nT59gPnzGWIA7i+qWpVLPfv28Qs8PmFhXDLr3JkBa/9+oEQJ659BBFi6FChVCggI4B6l3buBMmWSd61p03hCzh7OnQN69QIKFQImTwa6dQMuXuQyWnKex1FMngz8+ae9R5HK7D1lpZRK26BLaanO3PIZwI730c1f790T+fBDLuOMGRN7Cef337msVqdO3L5ips6dYw8vd3e2o7CVa9dYwDC6kOG1a9Zdb80aXmvFCtuMz1IHDsQUwcyVi9Wf799P3THYy/37bMcyfry9R5K6NBgppRKUlGCUK1cuyZ07t1SqVElatmwpLVu2lICAgFQaafoQXyiqX59fUo0bM+y0acOWHM+HGaNRZNgwBoguXRIvfLh0KVt7FCsmcvSobcb/7JnI1KmsjJ03b+Ld5C0RESFSogR/B6mxh8doFFm3TqRePf4uixZlFXFH3hOVHDNmMBDeuGHvkaQuDUZKqQTpjFHqSSgUOTuLvPmmyO3bnDlyd49dsTosTKRjR36Rjx6dcIAIDxfp14/vbdvWdl3cT5wQqVaN1/3ww8Sb0VpqyhR+QQcG2uZ68YmIEJk3T6RsWT7Da68x2CVWgft5V66IHDyYcmNMTfXqsanwi0aDkVIqjocPH0pgYKAEBgYKAPnhhx8kMDBQrly5Yvb9Goysl1AoAkQ6d+aXbrlybC/xfI+tO3dEqldnWFq0KOH7XL3K97q6su3G8wFq716eFouMTNrYw8JEvvySp81eeUVk166kfT4hISEi2bOLdOtmu2uaevhQZMIE9pkDRHx9RbZvT97s1KefsmVKeLjtx5marl1jGJ01y94jSX0ajJRScWzbts3kS5p/unTpYvb9GoysE18oil7K6dtX5PRpHs338RH566+Yz/71F3uk5c7NZqUJWb+eIaNAAZF9+2K/9uABr1O9etKC0fbtIsWLM2h9843t+5YNH879UtbuUTLnzh0GwaxZGereey/hprWJefSI/dD8/Gw3RnsZN46/9wcP7D2S1KfBSCllNQ1GyRdfKKpdm6Hoyy8ZYnLkEClZkjM+0TZs4B6hsmU5mxSfZ88YAAwGzoaYbsg2GkU6dOC1Ll2ybNz374t0784x1qwpcupUkh89UUFBHNP/2Tvv8KbK943f6aB0svfeeyPKLCBDpsguICAgypKlUPzKUmQPZStL2bIVlL1BpoAs2VM2BUpbuvP8/rh/MS1NStMkPUn7fq6rV5rk5D3POTlw7j5z0CDbrnvtmkifPvSweXtz/cTOX1Ix5OQk9Rw6MhUrMsyaFlHCSKFQWI0SRsnDnCiqUYOCY/Jkih9vb+buxBU0c+cy76hZMzYbNMfDh2z66OLC3KPY2ITbLF3K/a1a9Wab9Xo2fsyRg6Jl/nzTa9qCWbN47I8e2Wa9EydE2rfnuciWTWTcOIovW6DXi1SqxO/D2bl2jdfDunVaW6INShgpFAqrUcLIcsyJomrV6HWYP19k+XKGeJo1EwkL4+diYpjHAvAxscTg/ftZGZYjh8iePaa3uXOHAqdz5zfbfPs2bQFYFWfvaiW9XuTKFevX2LaN4hAQKVJEZN48kVevbGOjgaNHuf7vv9t2XS148EDk668TF9ypGSWMFAqF1ShhZBnmRFGlSvQCrVzJ3jGASPfurJYS4Y2qWTNuM3eu+fVjY0UmTuR2/v4i9++b3+7dd5m3lFgFWUyMyHff0XuTJ4/IG4oUHYKoKPZzqlCB57FqVZG1ay2rMLOErl2Zo2Wv9RUphxJGCoXCapQwSjrmRFHZskx23bRJ5IsveDMfMcJYGWWoSPPzowfEHEFBIs2bGz+fWCL1zJncbudO89v8/bfRi9Wvn+1K++1FaCir7QoU4LG9957I7t327X/09Cm/u4kT7bcPRcrhZvNW2gqFQqEwiakxHy4ugShWjLPPNm/mvLJly4AZM4BBg7jV8eNAy5acLfbnn0CZMqbXP3GCIz1CQoDffweaNk3cnlq1gClTgAYNEr4XHg58/TUwdSrHgxw+DFSvnpyjThmePOHIkTlzgOBgoGNH4NdfgQoV7L/v6GiOVOnRw/77UqQAWiszhULh/CiP0Zt53VOk000QNzeRQoVYLr53LyvG3N0ZSjOwdi2rp6pXN5+ErNez23S6dPTu3Lplna27d7Pbc7p0It9849g9ea5fF+nbl+fIy4t5V9YevyJto4SRQqGwGiWMEseUKHJ3Z25PjhxMkq5WTcTHR2THDn5Gr+cMNIAdrc2No3j5kqX2gMhnn1knYp4+ZU4TwDlrly4lfy17c/KkSIcOrDDLmpXJwm+aC6dQJAUVSlMoFAo78nr4TKebAA+PQGTIALi6AsuXA717A8+eAfv2AVWqAFFRfO3nn4HRo/mj0yVc+/x5oG1b4P59YM0ahtGSgwiwahVDd9HRwIIFDAu5uCRvPXshAuzcCUyeDOzeDRQuzPBZ9+6Al5fW1ilSCw522SsUCkXqwZQoSp8+EF5eQMaMFCCdOlEIHT5MURQUBDRsSKGyfDkwZoxpUfTzz0C1aoCHB3DyZPJF0a1bzEXq3BmoVw/45x+gVy9tRNGoUcCKFQlfj4nh+ahcGWjcGHj+HPjlF+DyZaBvXyWKFLZFCSOFQqGwA6ZEkZdXINzcgPz56fVo1w7Inp0J1cWK8Ub/zjvAxYvAnj0UK68THk7h0r07EBAAHD0KFC9uuX0xMcC0aUzkvnCBid+//ALkzJn8Y7aGf/8FJk4EHjwwvhYWBsyezXPTqRPP1a5dFILt2wNuKuZhUwYNAnbs0NoKB0DrWJ5CoXB+VI5RfEzlFPn6inh6sqv18uUs765Xz1j+vmcPk7BLlWJCsSmuXGFfHk9PkSVLLLMpbnfqv/4SqVyZJfiffeYYjfyGDOGcseBgkSdPOHctSxbmEAUEiJw+rbWFqZsHD5hb9vPPWluiPUpvKxQKhQ0x5Sny8wvEq1dA3bpAixZA165A69YMlXl4AIsXA598wlDWmjUMs73O+vXARx/Ro3PsGFCuXNJtio0F6tenh+r2bbYCKF0aOHIEePtt64/ZWp49A378keflf/8DFi3i6z17AkOGAIUKaWtfWmDrVoZsmzTR2hIHQGtlplAonB+Dx6hJkybSokULWRm33jwNYcpTlCkTO1B/8IHIqFH8q7xfP3ZIjo0VGTaMr33yibHDdVwiI40jQNq1S16DxenT+fncuempGj/e9L60ok8feoZcXeklGjOGXiNHZvlyVgOmlk7XrVuzJYRClesrFAoboEJppjtaZ85MQfLhhyKffsrfv/mGpfihoRRLOh2Fi6nOzLdvc3isuzu7VCene/Px4xQcAOeFWTt7zFbo9SK7dhlnmPn6cmisYSaco1O/Pn9SA5GRbBUxbpzWljgGKpSmUCgUVmKqo3WWLIEICgI+/ZRdmVesYBVar14sr2/ZErh0id2ZW7RIuObWrUCXLoCPD3DwoOUhLxFg6VJ2ZBYB5s1juM5UhVtKEhPDsODkycCpU0DevLTp5MnkJZFrwb17wN69wMKFWltiGw4cAEJDgebNbbuuCAsK9u/nPkxVHDoiShgpFAqFFSQmij7/nGM6jh0DNmwA3n8fOH2aQkinAw4dAipWjL9ebCz7Fn37LdCsGcVN5syW2XT9OgXZrl18/ssvrOLSklevgJ9+YiXcjRscQ7JjB9sR1KrlPKIIAFavBtKlA9q00doS27BlCwVq+fLWraPXs8Jx/36jGHr8mP26qlSxja0pgtYuK4VC4fyk1VCaqfBZ1qwMDX31FSvIMmYUOXiQ2//6KyfUV6kicu9ewvUePGClmouLyIQJ8SvJkkJ0tMikSaxay5ePVV4dO1p/nNbw9Cm7UmfLxuPq2JFVcQYiIkQeP9bOvuRQqZJImzZaW2E7SpQQ6d3b8s/FxPC7nD5d5P335b/Qsbu7SM2aHGK8bZtjVD1aghJGCoXCatKiMDIlirJk4Y3h6685Ay1PHpFz55hPM3Uq84lat2Z+0evs2yeSMyd/9u2z3J4TJ0QqVqT4GDJE5OOPmbdjSoClBLduMWncy4tCrW9f820InImLF/kdb9igtSW2Qa8X+eEHkT//fPO2UVEiR45QfDdtKuLnx3ORPr1I3boio0ez7cSrV3Y3264oYaRQKKwmrQkjc4nWLi5MYM2WjX+F377Nm0nv3ryBDB+e0AsUG0vvkKsrvUUPHlhmS0iIyODB3HfFihRIIryBrVplm+O1hL//FuncmceTOTMr8ZzNI5QYX31FT5y52XWpiYgIkQMHWDDQoAFFLkCvZ8OGvNYPHuR2qQkljBQKhdWkJWFkShRlysRJ9GPH8qbx9tssN3/+nDcUNzeRxYsTrhUUJNKsGW82//uf5aXff/whUqAAPTKTJmlXgq/X01Pw3ns8lgIFRL7/3rRnzNkpW1aka1etrbAPYWEiu3dTzPr7s7UDQM9Q06a8xo4edaxWD/ZAJV8rFApFEjGVaJ0xYyCiooAvvgDGjeOcszVrgIcPWeXz6BEHn9atG3+t48eZEB0SAvzxh2WN9R494viG1auZxLx7N1CkiC2O0DJiY4GNG1lhduIEUKECK4/atQPc3VPenpTg11953KmBkBCOozEkS584wSHCmTMDdeoAEyYA/v78Xl1dtbY25VDCSKFQKJKAKVGUIUMgAJbEf/st0K0bS/KPHQNateIN5vVZZiLAnDns6Fy5Mit38udPmg0irOwaOpRDXpcuZUl/Spfgh4dziO3UqayAq1eP7QUaN9a+HYC9KVxYawuSz4sXbP1w4ACF0KlTFHnZs1MABQTwsUwZbYYIOwxau6wUCoXzk9pDaabCZ76+Itmzi/ToYcwf0utFli1jWM3fnxVZcQkOFmnfntsPHMjGeknlyhXmIAEiXbpok7cTFMS8kuzZmdPUrh0bSCockydPRNav5zy8ihWZ/A+wKKBTJ5H580X++Sd5jUNTM0oYKRQKq0nNwsiUKPL2Zjn8Bx/wRmPoXD1yJJ93755Q9Pz9t0ixYqwUW7s26fuPiuIIDw8PVrpt327b40sKt2+LDBrE/CkPD44vuXo1eWudOCHy22/qZmwPHjwQWb2aFYBlyvBaBHjddOvGPLfr19W5fxNKGCkUCqtJrcLIlCjy9BQpWpTjINzcODPr1SuRDh14E5owIeGNZ/FiljSXL2/ZSI6jR0XKlWOF1xdfpHwy89mzHGfi5iaSKRMrsh4+tG7N99/neVA3Z+u5c4ceyl69RIoXNwqhYsX42rJl3EZhGUoYKRQKq0mNwsiUKPLwYFVSlSr0nmzfTqHwzjusDFu3Lv4aYWEiH33Em1WvXknv7/LyJcMfOp1I5coip04lvv3WrfQq2WKgqV7PPkpNmtDufPnoEQsJsX7tO3cYgps3z/q10hp6Pb09ixfT+1OwoFEIlSlDL9Evv4jcv5+09WJjWUXpKLPzHAkljBQKhdWkNmFkShS5u1OkFCsmkjUrc2vOnWNpes6cCXNtLl+mt8fTU+Snn5K+782bKUa8vNgUMjo68e2jotgzqX5967wwMTEUdtWq8WZbrhw9DrYszR41iqFEZ+uErAV6PfN/5s9nPlCePPxedDrmCw0cyCaTT54kb/3z57ne7t22tTs1oKrSFAqFIg6mqs9cXAJRtSpw6xbg4QEcPsx5X+3bs0pp82YgXz7jJ9auBXr2BHLnZoVauXJv3u/Dh8DAgSz1b9yYQ18LFXrz5+bPB65c4Ty05FSERUSwum3qVODqVbYV+OMP4L33bFthJgIsX85z5utru3VTAhH7V9slNmescmVjxVjNmkCmTNbv79Ahrm3pcOI0gdbKTKFQOD+pxWNkylOk04nUqcNux+XLM1QxezZDQs2bx/d+REaKDBjAv8Q7dEiaZyQ2VmTBAs5Uy5ZNZMWKpHt+goNFsmQR6dnT8mN99kzk229FcuSgF6JtW5FjxyxfJ6n8+SfPy5499tuHvZgwQaRRI9vmRSU2Z6xGDc4Z27rVft61Dz8UqVrVPms7O0oYKRQKqzEIoyZNmkiLFi1k5cqVWptkMaZEEcAZUB4exvJ7g/AZNCh+Ts+tWwxDubtTOCXlJnrpEkWXoZLt9fL+NzF2LG27ezfpn7lzh7PUfHz42d69UybPpF8/hoMsHYzrCFSvzhl31hAVxWT6SZPY7TxDhvhzxkaNYlgrLMw2Nr+JQoUYjlMkRAkjhUJhNc7uMTIniurVozelTRv2DWralBVirycP//47/+IvUCBpfX0iIzloNl06kSJFRHbtstzmoCCOahg8OGnbnz/PpF03N3qnvvzS+gqzpBIVxbyszz9Pmf3ZksePeQ2YGumSGIY5Y+PGca6YtzeFkJcXn3/zDd/XYs7YvXu0xZK2EWkJJYwUCoXVOLMwMieK/P158+jTR+TGDSYj+/nF7yMUHc2QB8CwWlDQm/f355+sInJ1FQkMTP4k8sBA3mwfPTK/jV7Pm2/z5rQxb16RadNSPvk5NJThqPPnU3a/tmDlSp67Nw33DQtjmHD0aHqA0qePP2ds4kQO9nWEOWNr1tC2pFawpTVU8rVCoUizmEq0BgJRowYTYL/+GmjUCKheHfD0BI4cAUqX5pYPHjAh9tAhYOJEzkpLbIzCy5fAiBFMqq5aFfjrL86gSg56PbBnD5O1s2c3/f5vvwGTJnEkSZkyHOHRsSOQLl3y9mkN3t5AYGDK79cWHDwIlCgB5MwZ//W4c8YOHODsO8Ocsdq1gfHjHXfO2JEjTOzPlUtrSxwTJYwUCkWaxJwoqlyZYuKHH1j9U7cuUKkSsGmTUYTs20eR4eJCgVKnTuL72rQJ6N+fs6pmzODv1twsXVx4U46Kiv96RAQrv6ZMYaWavz+wZQvQtGnqn2FmLw4fZiXYixcUwYaqsbhzxurUAaZPd545Y/nz8/pVmEFrl5VCoXB+nC2UZq76rHRpJiSvX8+KLUAkIEAkPJyfi43l6y4u7Bv0phyde/eYtAsw4fb2bfscz/PnDFXlzMl8mNatmeirSD5PnrCPk6HJpT3njCXWq8oRQm9pDSWMFAqF1TiTMDLXvLFQIVYK7dzJJGVAZMwY443v6VPmiuh0nImWWJfp2FgmaPv5sRz+l1/sMwLj33+Z0Ozry0TuXr1Y6aawnAcP+D29PmcMEGnVyvZzxvbu5RBeHx82DY27bni4yIwZtEOne3Pnc4VtUaE0hUKRZjAVPkufPhAZMzIM9euvwMiRzBdZuZI5RACbNLZvD4SFGZsfmuOff4DevRl26dULmDzZNg354nLxIhsyLl8OeHkB/foBn32mckYs4c4d5gYZcoSuXOHrxYoxJBYYCFSsyKaezZrZLhQZTxlVPwAAIABJREFUHc3vKn16NvUMDWV41bD+2bP8PuvUAa5dY8irUiXb7FuRRLRWZgqFwvlxBo+RKU+RtzdL14sXZ8l8kSJssnj4MD+j14t8/z17E1WvnvhAzogIViS5u9MDsHev7Y/h4EGRFi3oxcidW2TKFDZ5VCSOXi9y7ZrpOWOlS7PycPVq+1dphYayVH/ZMmM1Y48exvd37eLcvevXRSpV4rWZUi0VFEaUMFIoFFbj6MLIlCjy8+Mcs2rVOHMqY0beJG/c4GeCg9kN2tDMMTLS/PoHD4qULMkeQV99ZcxJsgWxsSKbNrEbMiBSqpTIkiWJ25PW0esZUvzhh4RzxipU4IDe9evZoyiliI4WadxYZOlSkR07aEv+/EZhe+wYZ/EFBfF6A0Tmzk05+xRGlDBSKBRW48jCyJQoypSJIua999il2s2NIx9evOBnzpwRKVqUOULr1plf+/lzkU8+4U3snXc4VNZWRESILFpEwQWI1Kwp8ttvztM5OjaWjTH370+ZfZ09y++yXTvmdQHsFfXWW8zD2ryZY1C0on9/5qw9e0ZvH2DsiXX/vkjZsuyevnMnRVPlys7zXac2lDBSKBRW46jCyJQoypKFN6XOnTkaw9DE0VAZtGgRm/NVqCBy9arpdfV6CqZcuZj4PHu27W5iL16ITJ5svHm2asUmjc2apYzIsBUnTtD+fftsv3bcOWOtWsl/36m7OwXkiBEi27alfCNLc6xeTZEoItKxI23t2JHPY2JY4bh9O797QwXckSPa2ZvWUcJIoVBYjSMKo8RE0cCBHNzp4iLy3XcUOmFhnFcGsLrLXEfqu3dFWrbkdi1bWjanLDHu3RMZNoxeqnTpmHvyzz98b/Nm7s+eQ15tzZgxrPKzRbl5VBSFwqRJrAz084s/Z2z06JSdM2YJt28z/BkUxPAdwPNi6KQ9fjwFuoixGrJ7d/vYEhHBPDl7VEimJpQwUigUVuNowigxUTRyJMMU3t4UHCLMRylblnOsfv7Z9JqxsfQM+frSU7R+vW1uMP/8QxHk7s4b/vDhFElxadrU+SahV60q0r598j77pjlj48ZpN2fMEvR6ozcoKMgY4ps1i++fO0fPZHg4Q2gAy/ftlQR+8CD3cfasfdZPLShhpFAorMaRhJEpUZQ5M/NNvvmGIaq8eZlHJMIwh48Pc3nMzfI6d45VaQBzip4/t97Ow4fptQIotCZPNuY4xeX6dYZWFi2yfp8pxYMHPK6lS5O2vTPNGbOEefNEunTh71278piqVKHI1uuZUH/gAL2ThQvz/fHj7WfP/Pn8d+DoglJrlDBSKBRW4yjCyJQoypiR1WejRtHjULUq/yKPiBDp18/Y3TokJOF64eGsMnN3p3A6eNA6+2JjmUBdsyb3W7IkBU9iN6phw1gx54hhInMsXkwxZ67qKySEOUBffslz4e7O85E5M8Xi9OkiJ08m3hHanhw4IPLRR9ZVF967J1KgAIf87tljbA9gaAWxcCFDtiIMOxqG/Jra55o1FFEeHsak8mrVRGbOtMymAQN4zSkSRwkjhUJhNY4gjMyV5GfOzBuCTscE2LAwkZs3Wa2ULh1Lok2FxPbtY38jd3feuKz5KzsykiX2pUvzxlajhsivv745YTs8XCRrVpHBg5O/by348EOGKw08f86w5eef84bu6srzkD07q8hmzWJ4x1GqsL79lmLUmlBp27b0GEVEiJQoYRTgIvQMlizJsSN371KwA7xGEmPePG43fHjybKpf35gErjCPEkYKhcJqDMKoSZMm0qJFC1m5cmWK7t+UKPLyYp+Ydu14MxkxgjfezZtFMmVik78TJxKu9ewZ/5I3lMhfuJB8u4KD2YTR0EenRQvLvE4rVvBzly8n3wYtKFCAVXQDB7JRoT3njNmDTp343SeXbdsYeo2NZYgUoLfn1i2+P3iwMc/IcK2VLv1mYbhkCbcdPTp5duXMSc+pInGUMFIoFFajpcfIlCjy8GAlUK1a9PgsWcKwzPDhxmqy13va6PXMN8qRg7kt8+cn34Nx/75IYCCrj9zdGZZJjsBq1YrH4OiYmzNWsCArrRYtYudpRxVCr1Ohgkjv3sn7bHg4vUFnz9IzlDkzz8XQoXz/n38oFmNiKJQMYcQ1a968tjXCKCiIn1292vLPpjXUrDSFQuG0mJp95uoaiPLlgefPOVNs507Ov6pfH/jzT84u+/zz+LOv7twB+vYFfv8daN0amDULyJ3bcnsuX+YMs6VLAQ8PzkwbNAjImzd5x7diBfDgQfI+a0/u3jXOGdu/3/ScsTp1gPz5tbUzOcTGApcuAT16JO/z48cDH3wAlCsHfP018OwZ4OvLcwJwTtqUKYCrKzB3LmenlS4NtG1ru2MwxaVLfCxVyr77SQ0oYaRQKJwSU6IICESNGsCFC0CWLMDRo7yJV6rEG9HevUDt2sZPxMYCs2cD//sfkDEjsHEj0KqV5bYcPUrBtWkTkCMHb4iffMI1rcHLCyhSxLo1rEUEuHkzvhC6eZPvlS4NvPsuj7dOndQxxPb6dSAyEihTxvLP/v03r6ETJ3ht/fgjX+/XD8iaFVi3DvDz4zkToYAGgKFD4wv1ly8pst96y/rjMXDvHh/z5bPdmqkWrV1WCoXC+UnpUJqp8BnAUm83Nz4+ecLyfBcXkXffZXVQXM6cYQK2TsfqNEtNj40V2bJFpE4dhiiKFxdZsMC2c9K04PU5Y3nzaj9nLCXZsIHHa2jAaIrt29n3asAA42uvXolUrChy/DifGyrRXF251rNnHC5sGER8+jTfz5gxfmJ/eDhH1ZjqfG1NKO3VK5GLF50nnKklymOkUCicCnOeotq1gX37GAL55hvgww+B7duBkSOBUaPoMQKA8HB6OKZMAUqWBA4fBqpXT/r+o6KA1avpIbpwAXjnHXoJWrYEXFxseKAphF7P4zB4hA4cAB494vmqXBno2JHeoFq1gEyZtLbW/ly4wOPMkcP8NoMGAf/8A5w/T29P/vzARx8BPXsavTx//83HGjWAnDmBgABg8GCjx+bGDT42b86wK0BPUceOwIABvK5siaenCqMlFSWMFAqF02BOFFWuDBw6BEyaxBv4228DERHAtm1Ao0bGrXfvZojr7l1gzBhg2DAgXbqk7TskBFi4EJg+Hfj3X6BZM2DePO4vbhjE0YmN5U3bIIIOHgSCggB3d97Ue/RgnlCNGsyNSWuUKsXQV2LfqacnBU6zZoC3N8VMoUJA//7GbQzn7tkzoEsXbtenj/H9ggX5aBBFJ05QZI0Zw3w4hYZo7bJSKBTOT0qE0kyFz9zcRIoWZQPH9etFZsxgKK1GjfgzzJ4+Nc6hqlOHoaKk8vAhGxFmzMi1u3VjJ2xnISpK5OhR83PGRo1y3DljjsqhQ7zu3nqL4UVTFWVhYRz10rix+f5Ekyaxl1OpUtz29VEwr2Ntub4iaSiPkUKhcHhMeYo8PQPh6wuEhQF//MFKsg0bgCFDgIkT6QERAVatYugjOhpYsIAekaSEvK5eZYXZzz9zLUOFmaMnr0ZG0vtgCI0dPsxz5OUF1KwJfPEFPULVqhm9FQrLqFmTlXihoea9al5ewKJFia8zbBh/FI6FEkYKhcKhMSWK/PwCER3NkvqJE4FevYAnTyiMPviAW926xdDFtm1A+/bA998z1+NNHD/O/KENG4Ds2YHRo4FPP025/JrgYN5sk5qvFB7OqjhDxdjRowwj+vnxBj5yJIVQlSoUePZk2jRW/VWrZt/9OAI6XdoMNaYFlDBSKBQOiylRlDlzIJ4/Z9Jqw4bA+++zbHz7dpa2x8RQBI0aBWTODPz2G9CiReL7EaGAmjyZCdzFigHz5wNduwLp09vzCBPy6afswbRtm+n3Q0PZj8kghI4fpzcsc2aKkvHjKYQqVDAmnKcEUVHs1TNzZtoQRloQERH/UWEntI7lKRQK58ceOUamcoqyZmWOxYABIp078/fevY0l8qdOcXq5Tsey8pcvE99HVJTIsmUi5cpxrWrVmKsUE2Ozw7CI6GjmMsXNIXn+nG0Bvvgi4Zyxtm0dZ87YuXO0a/9+be1IjaxZwxEl6dMbWwC8/bZxrIjCtiiPkUKhcDhMeYoyZQrEs2fA2LHAmjVsMrhsGSt+Xr1i7syMGfQeHTnCyjRzhIYaK8zu3gWaNGGOUp062laYnT4NvHjB3J/Bg+kROnOGHq3cuekJMlSNlSjhWNVwFy7wMTmNERWJ064df5LLxYusoBw7lp5FReIoYaRQKBwKczlFsbHA8OEMd+XPzwTj0qWBHTsYfrp/n/2LPv/cfC7N48cUQHPmsPw+IICCqly5FDk0kzx8aEyU3rCBr335Jcu5/f3Z06ZOHaBwYccSQq9z8SJ7/2TJorUlitc5d44d3seN09oS50AJI4VC4TCYEkXp0wciUyY2YZwwAejUCfjhByYdf/ghsHw5UK8ec4yKFTO97vXrTAxesoR5N4YKMy1meZmbM1a0KPOZihfnfDdnmzN24YLze4tu3mRCddasWltiW+7fZ5Wcn5/WljgHShgpFAqHwJQocnEJRJkyTKjesIHhgN69KYaGDGHX5sWLge7dTXtTTp6kh2n9et7svvqKw2JTqsLMMGfM0EzR3Jyx2rU5Zyx3bjYLdDZRBFAYNWyotRXW0bkzhelPP2ltiW25f5/XliN7HB0JJYwUCoXmmOtoXacO824yZ2YlVqZMwHvv0aMSEMCcotdHN4gwvDZ5MrBnDz0xc+eywszT077HIUIPUFwh9O+/vCGVL8/qOH9/CqFs2eJ/9vp1htVq1bKvjfYgJoZ9nwYO1NoS67h/H6hbV2srbI9BGCmShhJGCoXCZnTs2BFubm4ICAhAQEBAkj5jThTVqsXS+fffZ2PGJUs4LiFbNuD334GmTeOvExPDpOzJkznyompVYO1a9jWyV9m6Xs/cGkNYLO6csUqVgA4dKISSMmfs6FE+WjK3zVEIDaXdJUtqbUnyEUm9AuLBg9R5XPZCCSOFQmEzVq9eDT8LEhlMiSJ390AUKcLKsqlTmXjcqBFw9iw9El9/Dfj4GD8RFsYOw9OnA7dvA40b05NUt67tQwexsbTDIIRMzRmrU4eNFS1t/tehAweHOmPVUMaMPBfOTFAQ/msamtp4+tT5879SEiecBa1QKFIDpkSRr28gfHxYMbZ1K3DvHsWCCD0q06cbRdGTJ+xKnT8/841q1WJp+7ZtTMa2hSiKjmYDxSlT2FAySxZOnA8MZFl9v34cTPviBUdvjB/PUF9yOiK7ubFBpUIb7t/nY2oURuHh9g8jpxRr1qxB8eLF4ebmBp1OB51OhwwZMmDKlCn/bbNu3Tp4e3v/936mTJnQvHnzpO9E60ZKCoXC+bG0waOp5o1ZsrB5XcOGIqtWiRQowIZ2kyaxEaOB69dF+vble15ebOR465ZtjiMiQuTgQZFvvxVp1EjE25s2eXnRrm++ETlwgNspUhdbt/K7vn1ba0tsT5cuIosXa22FbdmxY4cAEA8PDwkKCkrw/rx58yRv3ryyYcMGibGwY6sKpSkUihTF3JiPoCD2FLpzh4nVDRrQG2Pwovz1Fz03a9cy3PTll6wws6ZvTtw5YwcOMHxnmDNWq1bKzhlTaMuDB3xMyjw9Z2PZMq0tsD0NGzZEuXLlcO7cOezcuRMdOnT4773bt29jw4YNOH78OHLlymXx2koYKRSKFMOUKPLyCoSLCzB0KLtRu7gAS5eyozXACrRJkyiSChdmo7pu3diXxVLMzRnLlImVYt9+SyFUsWLKzhlTaM/Ll7ym0qXT2hJFUunXrx8+/fRTzJo16z9h9PDhQ/Tq1QtLlixJligCAJ2IiC0NVSgUaY+XL18iQ4YMCA4ONpt8bUoU6XSBqFyZjQ0PH2bDxmnTKFTWrmWF2ZkzzOsZPhxo3Zq5OEnFkPtjEEJ//cUE6mzZKID8/ZksXbZs0qfZK1InL16wM3rx4lpbokgqYWFhyJs3L168eIHTp08jX758CAgIwLx581DEioQ95TFSKBR2J7GS/OPHmfC6fTuruZYsoTi6dYvVaLt2AfXrJy2ZOiiIITFDDyFnmTOm0J6MGfmjcB68vb3RvXt3fPfdd5gwYQKCg4MxY8YMq0QRoDxGCoXCBiTmMTIlijw9A5E9O5sfDhnC6q4lSxgme/ECaN8eGDaMIa3EePQofjPF8+f5umHOWJ06fHT0OWMKhSJ5XLt2DcWLF4eIYNeuXXj33XetXlN5jBQKhd0wJYqyZGGidZYsFELbtwOlSvHdXr04Vb5QIdPr/ftv/GaKly/z9WLFKICGD6cYcraRGtOns0HlsGFaW5I8ChSgwHX2ztcK56NQoUIoUqQIrl27hr///tsmwkh5jBQKhdWY8hiZS7QWAfr0ochZt475RAMG0GsUd3inYc5Y3IGrceeMGXKEatd2/t4zDRvyPKxZo7UlycPbm4nrgwZpbYkiLSEi+Pjjj+Ht7Y2ZM2eiSJEiuHLlClysTBi0ebrhqlWrbL1kmkedU9ujzql9MZdTVLo0S9+nT2du0cyZLM8fPZoepMuXgR9/ZEVa/vws1e/Rg7lCLVpwGOzjxxxYOncuu0U7uygCGBJ8feYb4BzXqYhzNRB0hnPqbGh1TgcOHIj69evju+++Q5EiRXD9+nVs3brV6nWVMHIC1Dm1Peqc2g9TosjbOxAFC3LafVgYsGoVRZC/P3OLDAKnZEn2Jrpyha/99hsTqk+fBr7/nlVprw9fTQ2EhdHr8jrOcJ1GRVEcKWHkmJw5w75cZ87Ybx9anNMvv/wSpUqVQqdOnaDT6dCvXz8AwKxZs6xeW+UYKRQKmzF9+nSMHTs2zisURWFhHO0xbBgbKP7yC9C/f/w5Yx99lPw5Y85ORITzCIvXiYjgY/r02tqhMM2rVxyxk5oalE6cOBF+fn7o06fPf6999NFHGDlyJHbs2IErV66guBV9Fxyyc4ct1GdqWsMWOMqxOMoa9+7dcwg7UtMaABKIIiAQRYuyi/TJk/QGjRgBPH9ues7Y8+errBZFjnI+LFkjPNy0sHCG6zQ8nI9vEnaO8r2YO6c//sict5SyI6XWeNP34yj/nyaVmTNn4sWLFwgMDIz3esaMGdGlSxeICObMmWPVPpQwcoI1bIGjHIujrOEMNxxnWmP69Onxnru7T4CrK//junqVN/3PP2cidXAwsG8fMHYs+xPF7WDtCMeixRrmcnSc4TpNLcLop5+AP/5IOTuUMLKMBw8e4JNPPsGECRMwYcIEk9u0bdsWAPDTTz8hKCgo2ftKUihNRBASEpKkBWNiYvDy5ctkG6TWUGukxBoi4hB2pIY15s+fH89T1L37aPz1V19Ur/4SlSqxk7ChW7UIcOyY+bWCgmJw4IB1x+Jsa4gwHHX3LoVjXKKixOGP5fZtPl66lPg4DUf5Xsyd08ePgezZE34H9rIjpdY4dcr4aMoba89z+joVKwK+vr7QWdBUbPv27RgwYACuX78OvV4PAKhatSr++uuveNu1adMGW7ZsAcAq2Xz58qFo0aJYt26dxWG1JJXrG0pxFQqFQqFQKJJLYmODHIUkCSNLPEYKhSLtcfLkSbz77ru4e/curl/3Q926fD1jRuYQAfxrvEIFoFIlPubJo7pRKxyH/v2BnDmBr77S2hLbcuwYix7WruW/QS1JjsdIC5IUStPpdA6v8BQKhXZUrVoVAODn5wd/fz/UqgUcOsSJ5R4eQL16QK5cwNmzwNSpgF7P53HHdpQqpYSSQjty5qSQr1NHa0tsy/9Hn1ChAjvEK96MKtdXKBQ2Z9cu3mQiIvgf8+HD7NXTti0HxIaFGTtar1vHcRhZsxpFkr8/UK6cmnivSDk8PY2JyqmJkiWBhQtTZ/8ve6FGgigUCqsxNRLk5EmgWjUmFwNMwg4PZ5Jx/fqca9awIfusHDliHPtx7BibBmbMyHEfBq9SpUrGJG6FwtZ06MC+Wrt2aW2JQmvUfzMKhcIuVK3KsNnQoXxuqF4KCGDX68aN6d4fNgxo3x5o0IDvh4dzXIhBKI0cydd8fdn80SCUqlZNvApKobCEYsXSXmNRhWmUx0ihUFiNKY+Rgc8/Z/gMYD+j6GjmE336KbB5M7B9O1CwIKez9+iRcDRGVBS9TwahdPgwEBrK0EeNGsbw29tvq+7LCoXCemwawR8zZgxKliwJb29vZMqUCQ0aNMCxxJqWKBIlOjoaw4cPR7ly5eDt7Y3cuXOja9euuH//vtamOTUbNmxA48aNkTVrVuh0Opyx5xAhBaZO5Q9gzDl6/hwYMIDhtUOHKHAGDwYKFADGjAGePjV+Pl06vj9iBLBtGz97/Djw9dcUR9OnA3XrMvTm708P065dzGNyRg4cOIAWLVogd+7c0Ol02LRpk9YmOT0TJkzAW2+9BV9fX2TPnh2tWrXC5cuXtTbLqZk3bx7Kly8PPz8/+Pn5oXr16jYZ4OoI2FQYFS9eHLNnz8a5c+dw6NAhFCxYEI0aNcKTJ09suZs0w6tXr3Dq1CmMHDkSp06dwoYNG3DlyhW0bNlSa9OcmrCwMNSsWRMTJ07U2pQ0w9ChwLff8ncR4N49eo0WLWJoLSAAuHYN6NQJmDwZyJ+f5dM3byZcy82Ns9U+/5weJ8OQ2UmTmMA9fz5zlzJmBKpXBwIDga1bWSHnyLx6xcewsDBUqFABs2fP1tYgCzh2DPj7b62tMM/+/fvRr18/HD16FDt37kRMTAwaNWqEMGdVzw5A3rx5MXHiRJw8eRInT55E/fr18f777+PChQtam2Y9YkeCg4MFgOzatcueu0lTHD9+XADI7du3tTbF6bl586YAkNOnT2ttitNj+LceHBxsdhu9XuTDD0UojUTc3UVy5xZ55x0+b9dO5MEDkSdPRMaOFcmaVcTFRaRjR5FTp5JuS2ysyPnzInPmiHToIJIzJ9d3cRGpUkVkyBCRTZtEgoJscOA2YvFiEZ1OJCoq/usAZOPGjdoYZQHVq4t066a1FUnn8ePHAkD279+vtSmpikyZMsnChQu1NsNq7FYMGxUVhR9//BEZMmRAhQoV7LWbNEdwcDB0Oh0yZsyotSkKhUXodMDSpcZk7OhohsX++gvo3p3z00qVAjZuZJO927eBmTPpjahcGWjUiCGyN2VFurgAZcpwYO3q1cD9+0z2nj+f669dC7RqRe9ShQoM6a1bx5EQWpEzJ4/LWaPkuXM7l+3BwcEAgMyZM2tsSeogNjYWq1evRlhYGKpXr661OVZjc2G0ZcsW+Pj4IH369JgxYwZ27tyJrFmz2no3aZKIiAgEBgaiU6dOquGmwmmZOpWCBGC1mZsbB3jWqgU0awb07s2GkHfvAv36AVeuUOA8fcoQWZUqfB4Tk7T96XTMZfr4Y2DZMgquGzeAJUu41h9/AO3aATlyGJPCV61K2Rt9iRJ8vHQp5fZpS3LnBh480NqKpCEiGDJkCGrVqoWyZctqbU6KsHs3Q9W25ty5c/Dx8YGHhwc+/fRTbNy4EaVLl7b9jlKYZAujFStWwMfH57+fgwcPAgDq1auHM2fO4M8//8R7772H9u3b47GWf4o5EebOKcBE7I4dO0Kv12Pu3LkaWulcJHZOFdpx8iTwzjv8PTwccHdnYvXJk8CCBcxBKl8e+OYbJmt36EDP0s6d9PQEBFDszJljzM1JKjodUKgQ0K0bsHgxcP06RdiKFaxw27ePuU558gBFiwI9e9LTZWg3YA8KFmQiubOmZziTx6h///44e/asTabKOwudOvGPCVtTokQJnDlzBkePHkWfPn3QrVs3XLx40fY7SmGSXa4fEhKCR48e/fc8T5488PT0TLBdsWLF0KNHD4wYMSL5VqYRzJ3T6OhotG/fHjdu3MCePXuQJUsWDa10LhK7Tm/duoVChQrh9OnTqFixolYmpgoSK9c3h15P8fHwofG1XLk4W23mTAqWKVPoTVmwgJVpBk6d4ntr1gCZMzMc1q8fYKt/Go8eGTtzHzgAnDvH1/PnN3bm9vcHihSx3RiTKlU4S2rRIuNrOp0OGzduRKtWrWyzEzuxdCmFZni4Y7dMGDBgADZt2oQDBw6gUKFCWpuTYhQsCHTpAowbZ9/9NGjQAEWKFMEPP/xg3x3ZmWR7jHx9fVG0aNH/fkyJIoBuy8jIyGQbmJYwdU4Noujq1avYtWuXEkUWktTrVJHyuLgwpBX3K3nwgCX7H3/M0Nnhw+xrVKsWhc//p4agcmWGu65dozdp4kSKls8+A27dst62HDkYXps9m/Pdnj4FNm0C2rShV6d3bzYEzJuX3qv584F//nlz/lNilCkDOOsf27lz89FRw2kigv79+2PDhg3Ys2ePSVF07x4FxP79KW+fvUmfPmXGnaSW+73NOl+HhYXh22+/RcuWLZErVy4EBQVh7ty5+Pfff9GuXTtb7SZNERMTg7Zt2+LUqVPYsmULYmNj8fD//7zOnDkz0qm2v8ni2bNnuHPnzn/9oAz9THLmzImcOXNqaVqaw9OTYaxcuZiMDTBRukwZYPly4MQJhgC2bwf+9z+KkzlzmDwNMCQ2ezYwejQfZ88G5s6lWPriC3pgbEGWLMD77/MHoEA7fNjYdHLtWiA2lvOo6tQxNp20ZN5bmTI8vpCQUFy/bkwIuXnzJs6cOYPMmTMjf/78tjkgG2MQRvfv8ztxNPr164eVK1fi119/ha+v73//j2bIkOG/P5YyZmS49O5dLS21Dz4+bIpqS7788ks0adIE+fLlQ0hICFavXo19+/Zh27Zttt2RFtiqvC08PFw++OADyZ07t6RLl05y5colLVu2lOPHj9tqF2kOQzm5qZ+9e/dqbZ7TsmTJEpPndPTo0Vqb5rQkpVw/MZ48EfHwMJbyu7mJFC4sUrCgiK+vyLp1IrduiTRtyvc/+EDk3r2E64SGisycKVKgALdr1Ehk9262CrAnISEiO3aI/O9/IrVri6RLx/1nyiTSsqXI1KkiJ06IREebX2ObkilrAAAgAElEQVTbNn7m55/3mrw+uzlwPfyzZ7R9/XqtLTGNuf9HlyxZEm+7DBlEJk3SxkZ70qwZr0Nb0qNHDylQoICkS5dOsmXLJu+++67s2LHDtjvRCDUSRKFQWI0hx6hJkyZwc3NDQEAAAgICLFrj2TN6HgyeeA8P/qVbvjywdy8waBBDZps2MWQWEcGmjr17J/TKxMTQizNpEhsPVqnCmWxt2gCurjY66ER4fd7bkSPGeW+1ahk9SlWqGOe9hYXRVmecASfC782R84uSQunSnOE3Y4bWltiWjz8GzpyhB1bxZpQwUigUVpOc5GtTPHvGsFpUFJ97ejJEFRAArFxJIbFmDfOOhg1jonLNmsCPP/Km9joirGSbPJkly4ULs2N29+7xc5vsTVQUb0qGhG7DvDcvL3bnNiRzV6vm/OLCmWnQgGHTX37R2hLbMno0sHAh86gUb8ZuDR4VCoXCUjJnZo6RlxefG/oc/fwzxcy9e0ClSvTGLFxIT9Ljx8wlGjPG6G0yoNMZG0OePElvTP/+TPAeN45CLCVIl44CLu68t2PHgLFjKdCmTaMwMsx7GzXKuee9OSvO1HbAEnLnBp484R8ZijejPEYKhcJqbOUxMvD8OavMDAmj6dMzdNauHWee7djBZOwxY5i0PW4cw2ZFi9J7VLu2+bWvX+fg2cWLGVbr1cs4wFYrYmNZ/XbggPHn6VPjXDhD6K1mTUD1drUfgYEMwV6/rrUltiUykuFmd3etLXEOlDBSKBRWY2thBLCfUYECxuGvhv/U33oLqFuX+Ub+/gyx5czJXkMff0xPTO/eFEqJTc55/NhYyfbyJcN1X3zBnCat0etZ/m8Ive3fz35PLi70mBlCb7Vq0cumsA0zZwLDh7NpqK36UymcDyWMFAqF1dhDGHFdiqMXL/jc1ZUJ2VmyACNH8i98nY4l/f7+9LzMm8eQla8vMGsW0Lp14je50FDmKk2fDty5A7z3Hm+O/v6Oc3MUAa5eNYqk/fuBf/+lfeXKGYVSnTpsGaBIHhcuAIcO0YuYEkn6CsdECSOFQmE19hJGAIVLgQLx84Fy5eJf9T/8QCF08CDw7bdMyHZxYS+a/v2B334DWrZk76O8eRPfT3Q0E7snT2ZY6623uN4HHzjeTVKEjSwNnbn372ezTIDz3uJ2586VS1NTFQqnQwkjhUJhNfYURgCTkAsVYgKpgSJFKA5mzmRS9vjxQPPmTNTOnJniYf16jgsJC+P7ffq8WeSIMIdp0iQmdxctykq2rl1TtpLNUv79N37o7f/7lqJo0fgeJS1zqRQKZ0AJI4VCYTX2FkYAPURFisSfrVa6NMdoDBnCvKPu3RlCW7uWHh+AYbjAQHqX3nmHc9eSOlT9xAnOZFu/nsNrP/sM6NsXyJTJ1kcXn549OSNu2LDkr/HwIT1pBqF0/jxfL1DAKJJsPe9t3jyKyo0bbbOeQqEFqlxfoVA4BV5eDBfFDYn98w9FznffsXz/4EHOOatZk0nVIkzAnj+f3pQXL5i8/NVXrHJ7E2+9xfDa5cvMVfrmGyBfPgoxe46OePWK+7WGnDmN897OnWOV28aNPI7z5+PPe+vUyTbz3lxdgc2bbT9+QqFISZTHSKFQWE1KeIwMREbSm3L7Np+7ugLFi1OoFC1K78533zHxukMHeoh8fY2fnTCBYbVChVja7++f9H0/esR158zhzb9TJ1ayJdUDlVRWreLaN27Yb/bY6/PeTp6MP+/N4FWyZN7bhQs8F7t2Ae++ax+7FQp7o4SRQqGwmpQURgAFTunSxoRjd3f2PYqIYKn75s18r2dPJh+vW8cbvIGLF+kxOXyY20yZYll4LCTEWMl29y7QtCnDXnXq2CYsFRZGz9eIEezXlBKEhnJ0iSGh+9gxduzOmJF9oQx5ShUrsr+SKfR6hhwHDWKTSoXj8NtvbG2xerXWljg+KpSmUCicDg8Phn1KlODz6GgmH4vQ41G7Nj1JJ09y27ffZlK2gdKlefOfP5/5SKVKcQxEUv9M9PXlzf/6dWDpUpb5163LHKYNG6zvMOztDbRqBaxYYV1oyxJ8fICGDdks0xB2NMyoCw1l+PGtt5jY3qQJ+0gdOcJzb8DFBahRgyXvCsfi8WOGZ2NitLbE8VHCSKFQOCXp0jF3xjAjLTKSJf137vDm3KYNB84eOcLmjd27sz9NeDi3d3EBPvmEAqtmTaBjR6BFC34+qbi7Ax9+yPL+P/5g1VqbNrRpwYKk5TGZo3Nn2nbmTPLXsAZPT4q90aOBPXsolA4dohdLhO0RatSgR6lBA+Zf7d/PeW9HjjjvDViEHsYLF7S2xLbkzs1je/RIa0ucAFEoFAorCQ4OFgASHByc4vuOihIpX16E/+2LeHqKpE8v0rEjn/foIRIZKbJkCd+rUEHkypWE62zcKJInj4iPj8j334vExCTPnqNHRdq0EdHpRHLkEBk/XuT5c8vXiY4WyZZNZOjQ5Nlhb6KjRY4fF5kyRaR5c5EMGXi+06XjY69eIjt3ioSGam2p5WTLJjJmjNZW2JZz5/i9HDigtSWOj8oxUigUVpPSOUavExNDT8Xp03zu5UUPUs+ewE8/0SO0bh37HbVtCzx4ACxZQu9O/OMAvvwSmDuXYaMFC5I/IuTKFWDqVIba3N3pnRo06M2NJuMyYADw669MNHeULtzmMMx7272b+VZeXsyVcsZ5b3XrAtmzW18Z6EhERjJEO2cOr0WFeVQoTaFQOD1ubuw5ZOhd9OoVc4t+/JHi6OxZoHp1DqM9cYI5Mm3bUqhERRnX8fNjefuhQ7ypV6lCoWQIv1lC8eLc/61b7H+0aBFQuDDw0UdM/k4Kn3/OFgSOLooA5nRVqkSbly7leT53Dvj+e7Y4+OknJqlnysTvaehQJgQ/f6615QkpUyb1hdI8PNieIbUdlz1QHiOFQmE1Bo9RkyZN4ObmhoCAAAQEBKS4HbGx9Ez8+Sefe3pS1Hz0EV978oTJ0XXq8C/nIUOAypXpGcifP/5aUVHsfj1uHN/74Qegfv3k2xYSQg/UjBlMFG/enJ6VWrWcQ/hYiwi9aHG7c5ua91a7Nr01WjJ3LjBwIAV2appI37Yt8/D27NHaEsdGCSOFQmE1WofS4qLXMxRy8CCfe3hQ5LRpwyaHhw/Tk9O9O3D8OJsghoYCy5fTk/Q6ly+ztP/AAX5m6lQOsU0uUVHsUzR5Mj1H1atTILVsmfR+QamBuPPeDD83b/I9ree97d/Pa+j8eXqPUgujR7MSUyVgJ04a+meoUCjSAi4uwL59Ru9OZCT/6v/1V4bcOnemB+nLL4GqVZmXVL06wzz/+1/CaqoSJVi2vmABq9xKlWI/mOT+SZkuHdCtG8NMW7bQpg8+YCXbwoW0Ny2g07F5ZffuzPe6cYMVgcuX02u0dy+rCXPnZgioVy9g2TJjY097UrEi7Tt2zP77SkkaNOD5dtaKwZRCeYwUCoXVOJLHyIBeT7GzfTufu7pSlJQuzbL8sWPpRfr5Z+YeTZ5MYVSnDj06OXMmXPPhQ4ZY1qwB3nuPs8EKFrTe1iNH2GRy0yY2dhw0CPj0UyBDBuvXdma0mPdmoGJF5pgtWmTbdRWOjxJGCoXCahxRGAH06rRsSc8MQG+Sry9zWIYOZY5RmTL0JuXKxZtvx47cdtUqhlNMsXkzh8k+e8b+PZ99Zr4btCVcvmysZPPwoDgaOBDIk8f6tVMDQUEUSoY8pTNnKIBz5zaKJH9/oGRJ64XS0KFsirhsmW1sVzgPShgpFAqrcVRhBFActWkTf+J7tmz0IM2YwRugYfhphQr0UnTqxBvvuHHA8OGmc39CQtgNetYsJnAvWMCqLFvw4AGruebNY/J4ly6s9jI0s1SQ4GBWEBo8Sn/9Zf28N4VCCSOFQmE1jiyMAIqjDh04/sNA3rzsW7RwIQfLXr1KL1Hz5ry5jh7N7s5Nm9KDYy7h+tgx4OOPmUg9ZAgwZgx7+NiCly+ZKD5jBnD/PgezdunCPBFFQkJDWX144ED8eW+ZMhnnvdWpk/i8N4VCCSOFQmE1ji6MAIqjLl2YOG2gUCE2fVy8mKJp82Zg2jSGr3Q6YOtWjvzw9mZe0dtvm147OpohsLFjGdb54QfOHbMVUVGcm9a/P0vIa9SgJ6t5c8f2hBw7Bowfz+aaWpS9h4fTBoNH6cgRjmnx9WWbBEPorUqV1FWWr7AOJYwUCoXVOIMwAiiOunenB8hA8eL0Fs2axfLxqVOBPn2AmTPpVbhzh96mv/6iaOrf33z+ytWr7Cq8dy8F1fTpnDZvK379lcNly5dn08pSpYAvvmDoz8PDdvuxFSdPspnjvn0UIFoTGUmbDELp8GE28vTyotg0hN+qVWNCviJtooSRQqGwGmcRRgDFUe/eDKEZKF2aobBRoxhi69uX5f5r1rAyLCqKHprvvmPfo4ULzY+1EGGX56FD6c2ZMYOeKltUTen1FEUFC7LdwOTJFEu5c7OSrXdvx6pk0+uZOB4QQJHoaERHs12DQSgdPMjwpYcHvYOG0Fv16vQaKtIGShgpFAqrcSZhZKBPHza7M1CuHHsL9e7NZO327XlT37KFITcAWL8e6NGDJfXr1iU+R+3RI2DwYOYtNWzIfRUubL3dy5YBXbsCf//N/V+6ZKxk8/RkJdugQSnfFNEcAwaw2/idO0xyd2QM894MQunAAVYeGua9GYSSM8x7S4xz5+gRK1ZMa0sclJScWKtQKFInwcHBAkCCg4O1NsUi+vfnxHFAxMVFpGxZEVdXkQ8+EDlzRqRwYU5aP3zY+JmrV0UqVBBJn15k0aI37+P330Xy5xfx9BSZNEkkKso6m6OiaFerVvFfv3dP5IsvRPz8OOG+Z0+Rf/6xbl+24MgRnt/du7W2xHJiYzmVfvZskfbtRXLkMF4rVauKDB0q8uuvIs+eaW2pZZQuLdKvn9ZWOC5KGCkUCqtxVmEkIjJokFEcubrypuHpKVK7tsi1ayK1aol4eIisXGn8zKtXIr168TPdu4uEhSW+j5AQkcGDeUOtUEHkxAnrbF66lPs+fjzhey9eUIDlyiWi01FA/fmndfuzBr1epEgRkR49tLPBGvR6ik7D75cuifz4o0jnziJ58/J70On4vX72mcj69SKPH2tr85to107E319rKxwXJYwUCoXVOLMwEqGnxSCO3N1FihcXyZhRpFw5kRs3RD78kO+NGcObo4GffqKIKldO5PLlN+/nxAneQF1cKJRCQpJnb0yMSKlSIo0amd8mIkJk4UKREiVoe+3aIps30wuS0owcSU9WeHjK79taJkzgtWDqvOn1vD6WLKFALlzYeB2VLi3Sp4/IqlUi9++nuNmJMn68iK8vryNFQpQwUigUVuPswkhEZMQI400tXTre5HLlEilQgCGpceP4XqdO8W/wZ89SfPj4iPzyy5v3ExUlMnkyBVWBAiJ//JE8e/fvFzl27M3bxcaKbNokUr067S9ThoIuMjJ5+00Oly5x3+vWpdw+bcW+fbT95MmkbX/njsjy5SK9extFKSBSrBjDm0uXity+bV+b38T+/bTp9Glt7XBUlDBSKBRWkxqEkQg9G4YbmYcHQyXFiolkyUIR8ssvzC2qUUPk0SPj516+FOnQgZ8bMCBpouPaNZEGDfiZgID469mLgwdFWrTgPvPkEZk6VSSlvrJ160SeP0+ZfdmSqCiRDBnoLUwODx7wuunXjzlshuurYEGRrl2Zp3btWnxPpL159Yqe0VmzUm6fzoSqSlMoFFbjjFVp5hg3Dhg5kr+nT8/qozx5OMds/Xp2UW7Zkr1vfv/dOKZDBJg7l5VolSqx1L9AgcT3JcJp8oMHs7R92jT2WbL1QNTXuXiRQ2tXrOBx9OnDppamBucq2Mfq5k3g+HHr13r6NP4YkzNneB3kyRN/jIkt5r0lRo0avD5XrbLfPpwVJYwUCoXVGIRRkyZN4ObmhoCAAAQEBGhtVrKZOBEYMYK/e3pSIJUty87JixfzxtW8OUvQ162L3+X6xAn2Onr5kqX1zZq9eX9PnrDv0bJl7J/0ww9A0aL2Oba4/PsvezP9+CObH3brxplsxYvbf9/OhKFFwoMHthePL16w0aShPcDJk2wbkD07rzODWCpb1rZdzr/4AvjlF17DitfQ1mGlUChSA6kllBaXyZONYQ9PTxFvb5GmTfl8yhSGoJo0YSXbvHnxPxsUJNK8ObcdMUIkOjpp+9y+XaRQIYbrJkywvrQ/qTx/zv3lyMEKq9atk5a/lFZ4/JjnJSntGawlJITXwf/+x4pId3deR5kzi7z/vsi0acx3sjZxetMmhoifPrWN3akJJYwUCoXVpEZhJCLy3XfxxZGHB/vZAOxhExnJnCKAZf9xb1axsSybd3VlaXRSK5NCQ1kl5+oqUr58ygqU8HCWohcvzmPy92cfppTMf3FUqlenYExpXr0S2bOHOU716lE0A6zya9JEZOJEtmOwVETHxKjv1RxKGCkUCqtJrcJIhM39DOLIy0vEzY2l2TqdSJcuvCHNns0S/ObNmYgdl/37Wd2WIwdvcEnl1CmRypW5n4EDE65rT2JiRDZsEHn7bR532bIiP/+cch4sR+Tbb1mpqEW7g7hERIgcOkR7GjWiJ9NwbTZoIPL117zmnLE1gqOghJFCobCa1CyMRETmz48vjlxcRD75hGGO995j+GPrVvaGqVCBJdtxefhQpH59fm7cuKTfXKOjGTrx8hLJl499iMzx6pXI2LEiN28m+zAToNfzJtusGY89Xz6R6dNTVqQ5CmFhjtn3JzqaXsXJk/k9+fkZqyrr1GGl5a5db25CqjCikq8VCoXVpKaqNHMsXAh8/DF/9/QEwsM5l2zFCk65//134OFDJmVHRgK//cb5WgZiY4GxY1n19t57TOjNkiVp+755k5Vj27dzhtv33ydMAg4NZdJ07dpMqrU158+zkm3lSsDHh4N2P/uMc+MsRQQICgKyZrW9nWmd2FjO0TtwIP68N3f3hPPefH21ttYxUcJIoVBYTVoQRgDw00/ARx/xd4M46t0b2LQJyJiRwsXTE2jVijen5cuB1q3jr7FtG9ClC8vk16wB3nknafsWYWn1oEGcCj9lCtCzZ/ySboN9Bw5QINmDu3eBGTOABQtoR/furGSzpIquf39WYp06Zf/WBGkdvZ7tGQxCaf9+Djh2dWVbCX9//tSqxVYUCqiqNIVCYT2pPZQWl2XLjGE1QyJs9+6cB5Yrl8jffzOsZWj4OGFCwiTXO3eYzOvuzgRvS5Jgnz7l/gzJ0ZcuGd+LjWVeUNmy9s8HevaMeS7ZszMPqm1b07PbTPHHH7T/yBH72qhIiF7P8TXm5r0NGMBmnI4+782eKGGkUCisJi0JIxHOv4rbIdswKqRSJXZJ3r+fIsXQSfujjxJ2w46M5Lw0gKLC0lO3axfFmIeHyDffGNc/dYq5TFOn2uZY30R4OHOwihblsdSty3yrxMRebCzbEnTtmjI2Ksyj14tcv26c91aoUMJ5b6tXO968N3uihJFCobCatCaMRETWro0/W83VVeSDD1hS7eHBqi4RzsZKl47enaCghOusX8+E2aJFRc6cscyGV69EAgO57zJlWLYtwinv3t4Jk8DtSUwMPQ1vvcVzUr48vWvmPFeTJvE8qT462hMRET+x3DDv7eOPja0bXp/3duuWdvbaGyWMFAqF1aRFYSRC8WO4abi786dRI5E2bei1mT+f2x08yGZ6xYqJXLmScJ2rV0UqVmRoLjlNBM+coSDR6TiT684dkZw5aUdKo9ezLUGTJjwv+fMzXBgSEn+7J08ojKZMSXkbFUbOneP3cOKE+W0M89769qUAN1zzBQoY571dvZp6+iIpYaRQKKwmrQojEZFff6UgAdjjyMNDpHZtlvMDLKHX6zkotGRJkUyZRPbuTbjOq1f8C92Qs2RpeXVMDAWItzcHxA4eTLGl5Vfy99/s9eTqyuP+6qv4w3K7dqVwcrb+SBERFAKpgYgIXrPTpyf9M0+e8I+CQYMYPjZc/3nycCDy/PkiFy86r1BSwkihUFhNWhZGIiJbthhvDq6uFCdVqnCsAyDy6acULs+eibz7Lj1LixebXmvpUvYtKlcufmJ1Url929h36IMPRO7ds+7YbMGtW2xS6e1Nr1ifPhSKZ8/SzqVLtbbQMj78kInKqYV69ejhSy7Pn/PfwBdfiFSrxn8DABPz27QRmTmTItlZUMJIoVBYTVoXRiIi27YxfAbw0c+PyavTpvFG0bo1E5WjokR69+Z2gYGmmz2eP0/vko8PE18tRa/n53LkoB3z5mnfsVmEOVbffCOSLRvPUbt2bJA5Z47WllnGxo38/s6f19oS2zBtGr1GoaG2We/lS/57GDFCpGZN47w3Z8GJTFUoFI6KEkZkxw6jODIM/ixUiKXR6dMzAfv5cwqXadPoZWrTxnTYLCSEYQmAeUMREZbb8+yZSK9eXKNWLYY3HIFXr0TmzmVVHcCu4Nu3O0/oJSKCocERI7S2xDZcusTv4bff7LO+Yd6bs+CiXQclhUKhSF00bAjs2sXmeQA7DoeFAWPGsCHi2bNspvfgATBkCBtDbt1qfC0uPj7sqj13Lj9buzZw65Zl9mTKxM/u3Qs8fgxUqEBbIiNtcLBW4OnJTt6XL7PJZXAw0LgxGw6uXAnExGhr35vw8ADataOter3W1lhP8eJs0Pn77/ZZ39MTqFfPPmvbAyWMFAqFwobUqwfs3g24ufH548d8HDQImD+fYqlGDeDKFaBlS+DQIYqiatXYLTsuOh0FxOHDwJMnQOXKwJYtlttUty7XHj4c+PZboGJF7ldrXF0pME6c4DnLmRPo3Jk36VmzKCodlc6dgdu3gT//1NoS69HpgGbNKIzULAwljBQKhQ3p2LEjWrZsiVWrVmltiqb4+wP79hnF0f37gLc30KsXx2l4eXFW1YkT9JIcOwZkz87XNm9OuF7VqhyfUbs20KIFEBhouVclfXrgm2+A06c5vqR2bc56e/HC6sO1Gp0OqF+f41LOnOF4isGDgfz5gdGjKQodjVq1gHz56NVLDTRvDvz7L714aR6tY3kKhcL5UTlGpvnzT2PiKcB8o/Tp2ROmenVWaW3bxm1DQ0VatWLe0YwZpvNt9HpOUXd15eR0S7sRR0aKLFjABPDZs0V8fTnGZN06x8vvuXWLjSq9vHjO+vZlh2ZHYvhw5pG93tXcGYmMFPn3X62tcAyUMFIoFFajhJF5jh41jg0B2OHa3Z1doZs1Y++j5cu5bWysyLBhxhJ/c/19DhwQyZ2b5dC7dyfdliNHuPasWXx+965Iy5Z87f33+dzRePqUvaCyZmVie4cOIn/9pbVV5OxZtlVwNMGmsA4ljBQKhdUoYZQ4J08aB84CIiVK8Cb/ww/GgbDTphm3X7iQgqlhQ1axmeLRI/ZEcnFhCXxSy/H79qWn6to1Ptfr6THKmZMepNmztS/tjzuewkBYGG0zzPJq0IBVgI7m6VI4PyrHSKFQKOxMlSpM0vX05PPLl1kJ9MknQPnywIgRwNChwLBhrHLq2RPYsYM5SDVqADduJFwze3Zg+3bgq6+AUaOYPPv06ZttmTiRn+3WDYiNZX5PmzbAP/8AnToB/fszf+b8edueg6Ty6af8eR0vL6BfPyatr14NBAUBjRoxIX3VKsevZFM4D0oYKRQKRQpQqRJw5Ahv8ABw6RJQpgzL9j08mJQ9ZQrQvTsQHc3qtqNHgago4O23WZn2Oq6uwNixTFo+edK4j8Tw9QWWLqVQmzbN+HrGjKyaO3AAeP6ca331FRARYbNTkCRKlgSWLAGuXjX9vpsb0KED8NdfbI2QLRsFXbFiwOzZwKtXKWuvIhWitctKoVA4PyqUlnTOnmUoyxBWK1uWj0OGiKxcyfyjJk2MXYifPmWidbp0xlwkU9y9K1KjBkNw5pK34zJsGNc0NaohIkJk9GjaUry4yL59yT5ciwkPN87cSiqnTnF7FxcO6x0zhvO8FIrkoISRQqGwGiWMLOP8eY77MIwPKVeOv/fqxSo1Hx/OnDLc3CMiRLp14zajRpkXPVFRIkOHcrvWrUVevDBvQ0QERVn58ua7al+4wJEOgEjPnuyknRLMn8/qvLNnLfvcjRvsEu7pyWq2AQNEbt60i4mKVIwSRgqFwmqUMLKcixc5x8wgjsqWNVZdHTnCeWIlSrBsXYRiaPx4bh8QQM+KOTZuFMmQgSM3Tp82v92ZM5yObtiHKWJjOWvNz4+z11avtn/Cc1SUSOHCbF+QHJ48occrc2a2NggISPw8KBJiakxNWkEJI4VCYTVKGCWPS5coYADewMuUYXiraVN6SwoVYll+XM/J2rWscKtenZVp5rh2jaLHw4Oz2syJmaSKnHv36IUC2Gbg9u2kH2dyWLqU+zp+PPlrhIZysnvBglyrUSORXbtUJdubGD1apFQpra3QDpV8rVAoFBpRogQrzzJlYoXY5ctAkSLsmj1gAKvOsmdnl+qDB/mZtm2B/ftZqfb228CFC6bXLlKECdbduwO9e7MKzdSIDZ0uabbmzg2sXw9s3Mju2WXKADNn0m570KkTUKoUE8CTi7c3z+PVq5xr9vgx0KAB8NZbnNFm60q2JUtSRyfsihVZpXj9utaWaIMSRgqFIgEbNmxA48aNkTVrVuh0Opw5c0Zrk1ItxYoBx48DmTPzRn3tGkdNnD5NcbBxI0vSGzbk0FmAc9WOH2eFWY0aFFCmSJ+elWbLllHUvP02q+GsoVUr4OJFoGtXzn+rUYPDcW2NqyswbhyFobVDb93cgIAAjlXZsYMVeB06UJjOnQuEh9vG5t27OcLE2QfLNmjASsmNG7W2RBuUMFIoFAkICwtDzZo1MXHiRK1NSRMULUrPUdasLNW/cYOC4OZN9idatIgz0tq0AX78kZ/Jn58l/LVrc5u5c82v36UL19frOXfN2lF2GTIAc+ZwEG1oKPs0ffml7QSGgdatKeo8PJUaDckAACAASURBVGyznk5HgblrF9sbvPUWPUoFCnCO3LNn1q3fty+9LDt32sZerfDx4ey0lSu1tkQjtI7lKRQKx+XmzZsCQE6/IXNV5RjZhps3OeYDYK5RoUKcZVa4sMjVq6y4Ajgiw5AnExMjMnAgX//sM9Ndow2EhIh07sxt+/QxX41mCZGRIl9/TXuLFGEOjzNx/Tq7gadPzzYKAwcmnoyeGHq9SIUKHK/i7GzYwOvk4kWtLUl5lMdIoVAoHISCBRkiy5mTjR3v32cYSK8H/P2BPn3o2Rg9mh2qY2MZcvruO3pw5swBWrYEQkJMr+/jQw/M/Pn0QtWsSa+UNaRLB4wcCfz9N/OQGjQAPvqInamdgcKFed7u3GH38WXLmJ/14YeWhwh1On5HmzdzPWemaVOGHFNDzpSlKGGkUCgUDkSBAhRHuXIxt+bxY4okHx+KoyZNGE6bPx/o2NHYmbpvX+D335mkXbOm+RuzTsdRJEeOMHRUuTLw22/xt5k2jR21LaFkSSaN//gjc1NKlWIoRsTiU6AJ2bLxmG/fBqZPZwfwChV4vvftS/pxdO7MpG9DyNNZ8fBgor8zfYe2QgkjhSKNs2LFCvj4+Pz3c9BQ/qTQjHz5mBOUJw/F0bNnwIsXfF6/PkXI+vXAli28cQcH83ONG1PwhIQYE7TNUbkyk5Hr1gXef59z2qKj+V5EBEXC/v2W2e3iAnz8MSua6talSGjaFLh1KxknQSN8fIDPPmMS/PLl9NrVq8fE9XXr3lyF5+PDCsAFCyhonZnOnYFHj3gu0hI6kbSmBRUKRVxCQkLw6NGj/57nyZMHnv8/7fTWrVsoVKgQTp8+jYoVK5pd4+XLl8iQIQOyZ88OnU6HPHnyIE+ePACAgIAABAQE2PcgUikPHvCGfPcuK8y8vBjmOX8e2LCBnomWLell2rqVXiaAXqb33wfOnGFoqO3/tXfeYVWXbxi/D0tQhrlxm0q5TXMkzpyo4J6590jLkSNH5tZypKVp7p0r9x45MtMc5d4j90YTEPA8vz/u+B0RkAPnwOHg87kuLsb5ft/3/R7s4u4Z99Mw5j1EGCHp3x/46CMOaM2UiSmxixeZIkuTJn7nX7+ekaxHj5gC7NmTqUF7QoRdf+PHA7t3s1C+b1925UUMBX6dU6eAggVZ5N60aeKe15oYjZw95+5u65MkMrYuclIUJemixde25/Ztk0Ghm5tI6tQi5cpxjtmKFSInTtAEMlcukfPnTfcFBYk0bcr7Ro+O3dRw/37OKEufXmT7ds5eS5OGhcSWGCI+fcqicINBpHhxzjWzhJs3RW7csGyN+HLokEjDhnyWDBlERo4Uefgw+mvXr+fvQLE/NJWmKEoUHj16hOPHj+P06dMAgHPnzuH48eO4c+eOjU/29pEpE/DHHywSDg5mau3YMaaqmjRhyu3AARZB+/qyDR1gNGPJEmDoULbSt2375tSOry/XLVoUqFYNmDOHBdpr1wLffRf/83t48P7ff+f+JUowbRcUFPe1jEamtXr3jv95LKFECWDFCuD8eVoJjBhB24TevRnVe5XatWOOKClJHFsrM0VRkh5z584VAFE+vvrqq2iv14hRwnPvnkiePIwApUzJD39/fv/dd5wPVqoUW863bYt876JFbKcvX17kwYM37xMeTjsAg4EjNLp0EXFyEjl40PJnCA1l9CpFCka4Xj+nOcydy2fev9/y81jKnTsigwYxiufkJNKqFSN4in2jNUaKolhMRI1RYGAgPD09bX2cZMuDB0DZshwd4ubGCEpAAKMYw4cDvXoBjRvTwHD+fLo9R/Dbb3StTp2aRdvvvffmvbZvZ/GtiwvvCQlhUbWzs+XPceECO+N276b55KRJNLc0B6ORkRtHR+DgQRZ825pnzxhdmziRkaOaNRkVK1/e/JErStIhCfyTUhRFUcwhXTqmzfLlY1rN0ZFjQlq0YMps2DB+36wZx4lMnmy619eXKTlnZxZZ79795r2qVmVqLWdOCjE/P+sVTufNy/EZc+bQYuD991kkbs7/pjs4UEgdPpx0nJk9PDge5dIlYMECWiVUrMj3efXqhJsnpyQQtg5ZKYpi/2gqLXF59EikYEFTWs3JSaRdO37fsaNIWJhIv378vn//yMXTjx+LVK3Ke2bPjn2v0FCRvn25Vr16vN+a3L0r0qwZ169alU7U5lC/vkjWrCLPn1v3PNbAaBTZuFGkQgU+V968IjNmiAQH2/pkijmoMFIUxWJUGCU+jx+LFC5sEkcODiKdOvFzkyYUNBMn8vXWrfl9BKGhIp0787V+/URevox9vzVrRLy8OJ7E0s6y6Ni0SSRHDnbejRtHcfcmLl5k3dSQIdY/izU5eJAizmAQyZiRNVaPHtn6VHHHaBQ5cCD2GrXkgAojRVEsRoWRbXjyRKRoUZM4MhhYLO3iIlKrFtvFFy1idKhWrcjRFaORwslgYCTo339j3+/SJZFixVg8PWOGZW380fHsmUivXhR3RYuK/Pnnm68fPJjPeuuWdc9hbYxGkVmzRFq25Hvn7i7SuzctEeyFBw/472jKFFufJOFRYaQoisWoMLIdgYEiH35o8jmKGBCbMiVTOYGBIlu3slutdOmo/8e/bh1fK1aMHkGxERxM8QXwD705giquHD5MYeTgQAER0x5BQSI7d1p/f2vz6BF/H0OG0Jdq4EBTJ1vr1iInT9r6hObh78/Ox+SOCiNFUSxGhZFtefpUpGTJyOKoSxcRT0+REiUohg4dEkmXTuT990WuXYt8/7FjrNfJksX8NNnixRRU+fMnzAT20FCm1FxdmWLbvNn6eyQmn38u8s47jIqJ8Hc2YQLfc0Ckdm2RvXutH4WzJsuW8awXLtj6JAmLdqUpiqLYOR4e7PIqXZrdam5upiGzV65w+GzWrGzZDwkBypThWJEIihY1Da4tVy7qUNnoaN6cXWHPn7N93todYs7ObHk/eZJdbH5+tA+4d8+6+yQWvXuzrf+nn/i9hwd/dvkyMG8eP5cvz+7BNWtoS5DU8PcHvLxoTZCcUWGkKIqSDHB3p39R2bIUP66unPBepw4H0JYtS7Fx4ACQNi0F0P79pvu9vTk0tnp1+h1NmBB7+/zChRxgW7UqRUvXrtzbmuTODWzbRl+mrVvZ2j93rv1NfM+Wje/RhAmRHchdXDh09sQJ+ks5OQH16gH58wOzZtHpPKmQMiXQpk3SO5e1UWGkKIqSTEiViuKhXDn+4UqRgv93X6UKjQbLlaNI2rsXKFKEgubV6FDKlDSL7NePg1K7dAHCwmLeb8YM4J13gGvXgKlTKVh8fRn9sCYGA4e2njnDURvt2gGVK9Mo0p7o1w+4eTP66JqDA1CrFn83Bw5QGHXqRB+pceMoQJMCXbvSaHTlSlufJOFQYaQoipKMSJkS2LKFBoOhoRRH8+cDpUpRxJQvTyPCLVv4h7hePUYAInBwAMaOpfninDlMYT15Ev1eadIAq1ZRsBw9yj/ogYFAsWJMB1mb9OlpoLh1K3D1KlC4MDBmzJvFW1Iif346lY8b92bTxwhjyAghOHQoI04RwsqWvPceRen06bY9R4Ji6yInRVHsHy2+TnoEB9Mw0WBgS7uDg0ijRizG9vQU2bePc9G6dmVB7ciRUQt/d+9mwfD779M3KCbmzeMaM2fSQqBePX7fp09k/yRr8u+/Il98IeLoSD+nP/4wvRYenjB7WoODB/neLF5s/j23btGo09NTxNlZpG3bhCl4N5eNG/m7jc1ryl5RYaQoisWoMEqahISIVK9OceTsTBFRpw7b+N3cRLZsoRgaPpx/rD/9NKqoOHeOzs1p01JMxUSEf9KhQyaPJCcnEV9fkRs3Eu4Zjx6l1YDBIPLZZ7QfyJ2bQ3WTKrNmcShwXAkMFBk/XiRzZv6+AgKSxjDd5IYKI0VRLCZCGPn5+Ym/v78sWbLE1kdS/uPFC5o7RkSOnJ1Fatbkh7OzyMqVvG7GDFNUKSQk8hoPHlBMubiILFwY/T4hIbQMyJbN5JX0229sR0+XTmTbtgR7RAkLE/n2W3oFZclCG4H27RNuP1vz4oXInDki+fJRIJUpQ2dycxzMldhRYaQoisVoxChp8+IFowsRkSMXF5EqVUQaNqQYmjeP161eTWfmjz9mdOL1Ndq04R/iIUOi99u5fp2vvZpiuXdPpFo17j1sWMKmuS5fZoSMPWsiq1Yl3F5JgZcvGSHz9eXzvv8+59+9LmyVuKHCSFEUi1FhlPQJDTXN7HJyonFi+fKsVwFMox727OFMtA8+oEvzqxiNImPG8PomTeg8bQ7h4UzXGQyse4pPGslcjEZGtZydKfp++OHtiKTs3880KcBU2/jxUcWtYh4GEXtzg1AUJanx9OlTeHl5ITAwEJ6enrY+jhID4eE0ZlyxAnB0ZMda4cI0aJw6FRgxAhg0iKaK1avTKHLrViBPnsjrrFoFtGzJlv81a4CMGc3bf+dO7u/kBCxfztb+hOLgQa5vNNLgcsYMdlQld86coVfSggX8/XXtCnz2GX2qFPPQdn1FUZS3BCcneug0acJ28ZAQiqD9+4EvvwSGDGFLeMGCbL13cqK4OHo08joNGtAM8upV2gC86qL9JipXBo4do2ljhQrmmUjGl9KlgVGj6IF06RJF3MiRkc0VkyP58tF+4epV+lBNn04vpA4dgLNnbX06+0CFkaIoyluEkxOweDFdmI1GICiIwmHdOgqHb7/lH9Rs2ThCJGdOipidOyOvU6IEx4ikTs0RI1u2mLd/5szArl1Anz40kaxXL2afJEvp04fjTry8GDUZNoweS7//njD7JSUyZ6Zf0vXr/L1u2kTRVLfu2/H8lqDCSFEU5S3D0ZGmj61aURw9e0bjwIULgUmTGHFo0YKCYtcujhPx8wN+/jnyOtmyAfv20TSyVi3ghx/M29/JiX+0165l5KlYMeDIEes/p7Mz3bjHjOF+R47QANPXF+jeHXj61Pp7xoezZxPOSdrLC/jiC87MmzWLe5UpQxf09estn8kmwrTq2LHWOW+SwNZFToqi2D9afG2fvHwp0q6dqYsrbVqRd98V+fFHFi/XqsUC69BQkZYtWTwdUaT9KuHhnB4PiPToEdX478ULTmaPjsuXRYoXZ6fc9OkJP10+PFxk8mS29GfJwjZ3W9Onj4iHh8nmICF5+ZLP/NFH/H3lzy8ydy5/R/GlQweRrFmTj+GjCiNFUSxGhZH98vKlSMeOJnGUPj29iObMoQlkxYoiT5/yui++4DVffhm9gJk+nSaSfn6RO6JWr+Z9P/0U/RlCQkS6deM1zZuLPHuWMM/6Klev0ssJEGnQQOTmzYTfMybu3RNxd+f7m5js3y/i78/3IEsWekHF5z/hI0e4RlIQmdZAhZGiKBajwsi+efnSNBoEEMmYUcTbm23vnp4cIxIRzZgwgde0axd9hGDrVt5TsCDFRwQRztgHDsR8jiVLGMnJl0/k1CnrPmN0GI0iP//M5/XyYqTMVq39gwdTiN66lfh7nzpF2wZnZ74PAwdGtWqIjVKl6FeVHFBhpCiKxagwsn+MRo4EiRBHmTMzerRsGZ2rCxY0/dFeuJBeSP7+Is+fR13r5EmRnDkpOA4e5M9evKARYaZMIv/8E/M5zpwRKVCALtYxuWxbm0eP6JQNiJQta5s5ZI8fi6ROzd+BrbhxQ6RvX6b1XFwYSTx3zrx758/n+3f+fMKeMTFQYaQoisWoMEoeGI2cNxYhjrJm5RDZ5cuZasmdW+TKFV67eTOjO2XKiDx8GHWtu3dZx+LqyqiMiMidO0zTFS8evaCK4N9/WdMEiHTqxIG4icHu3SI+PoycfPVV4jtIjx7NvSPeY1vx+DGNPDNlYl1Z/fomgRsTwcEU0LYUdtZChZGiKBajwij5YDSyGDhCHGXPztTYihUURlmyMKojwon26dKxgPf69ahrBQeLNGvGdUaO5NrHjjEa1KjRmwutjUaRmTM5ouSDD0QuXrTuc8ZUbBwczLSWkxNHbLxpcK61efaMYqRp08Tb800EB7MuzMeHv8MKFUQ2boz59zZ8OIXw3buJekyro8JIURSLUWGUvDAaRfr1M4mjnDkpZpYvZ5orXTpOtRdhqiVHDkaXoktBGY2ckQaItGrFKMyqVfx+9OjYz3LsGAWZlxeLuK3BwYM874ULMV9z4oRI6dI8Z+fOjKIkBrNnc5TJpUuJs585hIfzvS9Viu9HwYJMnb0uLh8+pIiOqQPRXlBhpCiKxagwSn4YjSKDBpnE0bvvmtJiJUrwD2BENOXmTZHChUXSpIm5uHrJEkZ/ypUTuX+fHWxnz5p3lidPmM4BRHr3pn2AJTx7xuf56KM3D7UNDxeZOpUdY97eIitXJo6dwN9/J+we8cVo5Cy9WrVMqdaJE9m1GMGTJ7Y7n7VQYaQoisWoMEqeGI0iQ4eaxFGePKyBWbKEaRU3N3ahiTCiUr48f7Z+ffTr/fYbC7pz5zZfFL16lkmTmOIqU+bNBdzmsH8/62fGjIn92uvXRQIC+B4EBFi+d3LgxAmR1q35+0idmhYOd+7Y+lTWQYWRoigWo8IoefP11yZx5ONDr6IFCxg5cHFhakyENSn16/P1OXOiX+vyZdYkpU4tsnNn3M9y4AAjFenSmURZfOnfn0Lv+PHYrzUaWWeVKRO7tqZOfXO06W3h+nVG8dzdGRHs3PnNKUp7QIWRoigWEyGM/Pz8xN/fX5YsWWLrIylWZuRIkzh67z3WwcyaxUJhBweRefN4XXg4/zgCjMZEl3p68oSeN05OMZs+von790Vq1GDEZ+jQ+AuUkBCmAAsVMr8D7fFjdsoBrEE6cSJ+eyc3Hj0SGTVKJEMG/l4aNhQ5dMjWp4ofKowURbEYjRi9HYwZYxJH+fLx87RpJufsqVN53asF1z17Rm+aGBZmMpXs2zfu4ublS4o1BweRKlXi3wn111+MGvXrF7f79uyhQHR2ZhdbYlkKJHWCg2mUmScPf7cVK4ps2pTwtVnWRIWRoigWo8Lo7eGbb0ziKH9+fp44keLm1bZ8Ef6BdHBgVCm6iIzRyLllDg4iderQvyiu7NzJKIW3t8jevfF7prFjGeWIq7FjSAgjVs7OTDH++mv89k+OhIezWL1ECf67KFTI1icyHxVGiqJYjAqjt4uJE03iqEABfh41SmTECH79xRcmcbRqFeuQqlSJ3L30Khs2sEalWDF2va1dG7fz3LzJwm9HR5Fx4+IenQgPF9myJW73vMqpUywIB+ig/ehR/NeKCXuKuLyK0UjjzBo1bH0S83GAoiiKosSBXr2AKVP49alTQMGCwKBBQGgoMHky8M03QNeuwMuXQP36wLZtwKFDQKVKwL17UderVQv47Tfg/n2gTRugcWPgyBHzz5M5M7BzJ9C3L9C/P1C3LvD4sfn3OzoC1aubf/3r5M8P7NsHTJsGrFgB5MsH/PwzpaM1+PFHoHZt662XWAQH83fi4ABs3mzr05iPCiNFURQlzvToAXz/Pb8+fRooVAgYMQK4cQOYMwf46SegZUsgLAyoUAHYuxe4eRPw9QUuX466XuHCwB9/UGSEhQFVq3Itc3FyAsaOBdavp0gpVixu4spSHBwoBk+fBsqUAZo2Bfz9gevXLV87Rw5g0yZg7VrL10pMXF2BHTuA0aNtfZK4ocJIURRFiRfduzOaYTQyclSoEPDttxQky5YBK1cyYhQcDBQpAhw4ABgMFA7HjkVdz9ubAsrPjxGfUqWAZ8/idqbatYGjR4F06bjP9OmJG2nJkgVYvZofx45R6H33HaNn8cXPjxGtL75gVM5eMBgYwdu6FTh+3NanMR8VRoqiKEq86dyZ0SGj0RQ5mjaNfwx/+YUprlq1KHBy5WLKLFs2RpF27Yq6XsqUwLp1QPv2wK1bTNOFhMTtTDlzAvv3Ax07At26AZ98EneBZSn16vH9aN2aqccyZYC//47/ehMmAFeumKJ09kLjxvx9jBtn65OYjwojRVEUxSI6dGD67OVLioGCBYG5c4ElS5gCOnIEqFIFePQISJ8e2L0b+OgjRkKWL4+6noMDMGsW8PnnTEW9917caoYAIEUKiohly5heK1ECOHnSOs9rLl5ewA8/UKT9+y9QvDgwcCAjaHGlQAGgUydg+HDgwQPrnzWhcHJipCu633NSRYWRoiiKYjFt2wLz51McnTnDFNLy5RQn27axrqhCBeD2bcDdnWKlYUPW4sQUBZk0ibVM168zFXfpUtzP1aQJ8OefgLMzULIksGCB+ffeuxe/PV8nInU4dCgwcSKjajt3xn2dr7/m50GDLD9TYtK2LZA2ra1PYT4qjBRFURSr0KoVsGgRxdHZs4z0rF/Pouzt2xkxKlcOuHoVcHEBFi5kVKhHD2Dw4Ohrgb77jtEnV1fWHO3bF/dzvfceC7sbN2Zqq2NH86I2TZsCDRrEPZUXHS4uwJAhwF9/sYuuShUKhocPzV8jfXpg5EimLv/4w/IzJRZubsBnn9n6FHHA1n4BiqLYP+pjpLzK0qU0bXR2pgmkmxt9jE6e5FT7rFlFzpzhtUYjvYciPIDCwqJf8+FDuii7uHBOW3yZPVvE1VWkaNHYZ3odP879Pvss/vtFx8uXIjNninh5caju4sXm+xSFh4u0bCny55/WPVNCkxDeTgmFCiNFUSxGhZHyOsuXm8RRvnwiqVKJlCsncv48TSHTpxc5etR0/fz5NGgMCBAJCop+zRcvRNq1o4gaNCj6USPmcPw4R1Z4epoG4MbE5Mncb+PG+O31Jm7dEmnUiOvXqCFy5Yr191DijqbSFEVRFKvTqBFrjIxG1ulkzcqW7ZYt2XWWIwcNH3/7jde3asWf79gBVKsWfbG1iwuLsseNA0aNApo1i18hc5EiLAivVo2psl69Ym6D79kTqFmTxpN37sR9rzfh7c33aN06FoYXKMAapPBw6+6jxA0VRoqiKEqC0KABvYyMRraaZ8oEnD/Pouvly4GiRSlOtm3j9TVrsij59GnWIkVn8GgwAP36AatWsX6pYsX4CRZPT57hu+/YOVaxIvDPP9HvN3cuO+Vat+azWBt/fz5z+/Z0ii5dOnqfJyVxUGGkKIqiJBh169Ls0Ghkd1natBQg/v4UHJUq8evVq3l96dKMIj17xm6uM2eiX7d+feDXX7lWqVLAiRNxP5vBwIjQvn0UYR98AGzZEvW6DBnYzbZtGzvlEgIPD45ZOXAAePGC9gL9+gFBQQmznxIzKowURVGUBMXfn+MsjEYKGQ8PdmPVqEExULcuU2/z5/P699+nQPDyAsqWBQ4ejLpmaCg9fXr2BNKk4aiR+M7jKlWKEZqSJRm1GjIkqlN1tWqM5hw+nLBO2qVL07l7+HC+NwULsqNPSTxUGCmKYjWaNm2KgIAALF261NZHUZIYNWuylsZopJdRihTA8+dsWx89GmjXjnU8EZ5GWbJwPEiBAsDHH9Mo8lWcnemkPXgwhUzFihwHMnVq/M6XNi2wYQPb4UeP5qy2u3cjXzNmDLB0KSNNCYmzM/Dll4yC5cxJUdaqlX0ZO9o1tq7+VhTF/tGuNMVctm1jC7yrq0j27CI5crB9/9w5kd692aE1apSpfT0oSKRuXXaszZsXea3wcBF/fxF3d5EjR0z3d+8ec9u/OezeLZIxo4i3t8iePfFfxxoYjSJz5oi8845I2rS0Kni9tT80lJYHly/b5ozJDY0YKYqiKIlG1aqM/ogA9++zAytFCrpit2tHd+dBg4ABA3iNmxuwYgULk9u0AcaPN6WyHB05dsTHBwgIYHfZjBkcbOvvDzx9Gr8zVqzIDrr33mO0aty4hCm6NgeDgUaQZ8+aIkfVq9NJPIIXLxgp69kzcQfmJldUGCmKoiiJSuXKrAcSoRt2UBCQOjUFSUAAMHkyBVDXrqz1cXKi2Bk6lNPa+/QxCRV3d6bAHBw4rLZpU679++8s3r56NX5nzJSJtT39+1Ok1anDs9qKDBlMs+fOnWPt0TffUFi6u7O7bsMGpisVyzCIqL5UFMUynj59Ci8vLwQGBsLT09PWx1HshL17WYANsH0+fXp2h23dSl+fjh0pdObNY90NAEybBnz6KT2M5s6ltxHA6319OZx2/Xrg4kUKpefPWfhdunT8z7lpE/2XPDwYvSpRwqLHtph//6VI/O47ejL99BNQrBif99Qptv6nSmXbM9ozGjFSFEVRbEL58myBNxjYnn/3LouNq1RhemzZMgqRV+eVdetG/6GVK5kue/aMPy9YkN5GFy4At24B+fJxnljevIxE/fxz/M9ZsyY7xTJmZJfc999HTlkldnjB3Z1GkAcPMnJWsiQ75saN4+DbESMS9zzJDY0YKYpiMRoxUizhwAHWz0TUFL37LiMf69YBYWH0LCpdmpEfDw/es3s32/x9fICNG5lqAtjGHxFFAlh/06EDh9sOH84utvh2lYWGUoBMnQo0acJITYoUrPsJCACaN7fsfYgPYWH0VvrqKwq38uXZOffXX0D+/Il/nuSARowURVEUm1KmDB2vHRwYGbp4ka7YtWoxIrJ1K/DnnyzcjqjzqVQJ2LOHqTdfXzprA5FFEUDhsmABRdHQoRQxL17E75wuLvQWWr6c6bUPP2RRtLMz0KkTa38SG2dnGkGePMno2MKFFJdt29quYNzeUWGkKIqi2JxSpYBdu9hpFhrKiFHp0owKPXjACNHFi5FHgBQtymgTQHF1/Hj0axsM9DpaupSpucqV2REXXxo1olBLkYJnLFsWyJaNP7eVU3Xu3ExLzp/P5z1yhDVImhOKOyqMFEVRlCRBiRIUR87O7LY6coSpoUaNWDu0dy8ds8uVA65d4z25cnGESJYsbPn/9deY12/alK9fuEBBE9O4EXPw8WGNT9OmQJcuTFtduMCWeVthMDAidvEiz9W7N+u1Ll603ZnsERVGiqIoSpKheHGKIxcXRjsOHmQKrXlz4NAhYP9+pojKljWlrjJkYESpVCl6/KxcGfP6M8XnWwAAIABJREFUpUuzKNvNjR1sO3bE/6wpUwJz5vBj0yZ21c2ezXSWLUmfnjVVW7bQ76hQIWDsWNYjKbGjwkhRFEVJUnzwAYWOqyujIHv3ctxH27b8Y79vH9v7y5Uzpc88POjj06AB0LgxMH165DUPHQICA/l1zpxMwX30Ee0CZs607Lxt21Jsuboy2tWhg2XRKGtRvTprjz79lKaZH37I90F5MyqMFEVRlCRHkSJMe7m6sih7+3agXj226//8Mwuvc+RgzVFEnZGLCyMln33G6776ilGn4GDWKjVowPolgMJq/XqaSHbuTNPI1wfHxoXChVl3VLs296hWzbSXLUmVikaQhw+zfqt0aeDzz002B0o02HYiiaIoyQGdlaYkFKdOiWTIwHloKVKING5smqcWGChSvrxIypScwRaB0Sgydiyv69SJc9N+/ZUz2lq0iDprbMoUEQcHkYAAkWfPLDuv0SgyeLCIs7NI6dIi165Ztp41CQsT+fZbvl/Zsols2GDrEyVNVBgpimIxKoyUhOTMGQ51dXen4GjenKJn8GCR589Fatak6Fm9OvJ9c+dy+GzduhxGu3Qp7/vyy6h7bNzI9YsWFfnnH8vPfPAgh+SmSSOyaZPl61mTy5dFqlfne9G4scjt27Y+UdJChZGiKBajwkhJaM6e5bT7CHHUqhX/sPfpIxISwj/wjo6cPv8qGzaIuLmJlCsn8vixyDff8L4ff4y6x99/U8x4e4v8+aflZ37wgKItQoyFhVm+ZnwJD2dk7NEjfm80iixaJJIunUjq1CKzZkWNpL2tqDBSFMViVBgpicH58yKZM1McOTmJtGtH0dGtm0hoqEiHDvz+hx8i33fgACM3BQsyGtSjB1Nn69dH3eP2bZGSJSmmXo9AxYeXL0VGj+Z+FSvaLjpz+7aIl5dImzaRf/7ggUjr1nzfKlQQOXfOFqdLWqgwUhTFYiKEkZ+fn/j7+8uSJUtsfSQlmXLxokjWrBRHDg4UQwYDRVJYmEjv3vwjP3p05PtOn2ZdTfbsIidPitSrx1qbCxei7hEUxAiUwSAybpx1Iim//iqSKRM/fv3V8vXiw08/8b3ZujXqazt2iOTOzTquESNEXrxI/PMlFVQYKYpiMRoxUhKTy5cpcCLEUadO/NysGf+gf/01BUD//pFFzT//iOTPL5I2LcXJjBkxi56XL1nDBFB0WUMo3L7NqJGDA4Xby5eWrxkXjEaRypVFcuSIvsg8KEhkwACmJAsUYKTtbUTb9RVFURS7IlcutuunTUuTxZ9+4qyyFSvo+DxgADB5MqfNd+tmmhmWNSs9kN5/H6hZk2M8Yhoo6+DAKfXz59OwsUYN05y2+LJ/P/2EBgwAvvySg2ctXTMuGAz0bLp/Hxg4MOrrbm7AmDF0HE+ZkjPoPv0UePo08c6YJLC1MlMUxf7RiJFiC65dE8mVi5EjQKRrV3an1awpEhwsMns2ozPNm7MGKYLnz0X8/RkZmT8/9n327mWUyceHdU7xwWgUqVpVJH16Rq42bWLdU44cIn/8Eb8148ukSUwT7tsX8zXh4SKTJ4ukSiWSJYvImjWJdz5boxEjRVEUxS7Jnp2u2BkzAu7udLtu356u2bVrA02aAMuWMZLUsCEQEsL7UqYEVq8G2rQBWremAeKbKFeOztYGAw0S9+6N+1kNBmDxYhpWNmwIfPwxcOwYkCkTx5t8/33iDXzt0YPP0aGD6T15HUdHGmWeOkWzzbp1ee5btxLnjLZEhZGiKIpit2TNyrSat7dJHLVpQyHj58exGOvW0Tm7Vi3g3395n5MTU3CDBwP9+tH5OiLlFh25cwO//w4ULcrBrPPnx/2s6dNzjtuxYxzwGiHsunWjWGnaNHEcqR0dgVmz+Pn69TdfmyMHR60sW8Y0ZP78wIwZb36v7B5bh6wURbF/NJWm2Jpbt0Tee8+UVuvShe3pJUvSu2fvXhEPD5FSpUQePox875QpTC198gmLrN/UhfaqLcDAgfEroJ4xg/e/msZbsYLn8/ER+euvuK8ZH+J69ocPRdq359nLlmWnX3JEI0aKoiiK3ePtzdlq2bMzcvTjj4zAXLzItNX77zPFdvEi56vduWO6t0cPRkSWL2cKrn59YMqU6PdxdmYB8zffcGJ9kyZAUFDcztqxIwfPdu5sGoLbsCGLnl1dgVKlgLlz4/MuxA2HOCqANGkYadq9G7h7l9Gzr78GXrxImPPZCoNIYmU1FUVJrjx9+hReXl4IDAyEp6enrY+jvMXcuwdUrgxcvcq0WadOwJo1QLp0wM6d7AKrWpV1Rjt2MFUUwc6dHFSbKhWF088/A40bx7zXmjXAJ58ABQoAa9dSnJlLcDC7vgIDgZMn2REW8fMePYDZsymevv+eZ01qhIQAI0ey8y9vXqYlfX1tfSrroBEjRVEUJdmQIQOwaxfw7rsUODNnAv7+wJMnQPnygIcH2+ZfvmRR9blzpnsrV2bUyWjkdS1aMDoSE3Xrsu7m5k1Gef76y/xzurkBq1YBo0aZRFHEz2fNAubNYxSrdGng/Pm4vgsJj6srhdHRo4CnJwvIu3al0LN3VBgpiqIoyYr06SmO8ualOJo9G6hWDQgNpTgCKGg8PCiOItJZAFCsGHDgACNMBgNF1ZsET7FiLPROl47iYONG88+ZKxfTfdHRujXXDQ0FPvyQnXVJkUKFgN9+A6ZOBRYtAvLlY8efPaPCSFGUSISFhaF///4oVKgQUqVKhcyZM6NVq1a49Tb06SrJhrRpmRp77z2moubNAypUYDdauXLA8+fsZsuenTVHBw6Y7o3oQMuXj6mtjz8Grl2Lea+sWdld9vHHNG2cMsU6rfeFCgGHD9OMsnFjptiSYj2PoyONIE+fBkqUABo0YEryxg1bnyx+qDBSFCUSQUFBOHr0KIYMGYKjR49i9erVOH/+PAICAmx9NEWJE2nSsI6oQAGKo4ULmZry9GTk6M4dRpaKFGHd0Y4dpnszZqTY8fUFHj8GypQBHj6MeS93d0ZKevWi/8+nnwLh4ZY/g4cHsHQpa41mzOC53yTSLEGE+8Q34pMtG+uuVq4EDh5ka/8PP9hha7+t2+IURUn6HDp0SADItWvXon1d2/WVpMzjx2zTT5mSbflNmogUKUI366NH6YTt50fX7F9+iXxvSAhfA0SGDDFvv5kzRZycRKpXF3nyxHrPcegQnbLfeUdkwwbrrRuB0SjSoAHfl1u3LFvr8WPOsANEPvqIg3vtBY0YKYoSK4GBgTAYDEidOrWtj6IocSZ1amDbNkaGXF1Zr5M3L2t8Pv4YOHGCkY46ddg2v3Ch6d4UKWhw+OmnnJ329dexp8k6dgS2bGHUpEwZdshZgxIlWOzs60tbgS+/tE5UKgKDgTYHTk50xbYkHZg6NSNce/cy4vbBB9Y7Z0KjwkhRlDcSEhKCAQMGoHnz5tqKr9gtnp7A1q1A8eKAiwvwyy9M/eTPTyfrP/5gyqpNG6BVK2DaNNO9Dg6sGxo9Ghg2jN1XL1++eb/KlSmMQkKAkiVZs2Qud+5wfEh0pElDa4CxY4Hx43n227fNXzs20qVjV9ymTfxsKRHF7dENrU2y2DpkpSiKbVm0aJGkSpXq/x979+79/2uhoaFSp04d+eCDD96YJtNUmmIvPHsmUr68iKsr01116ohUrCji5iayfTvTSb16MQU0enTU+2fN4mDa+vU5qDY27t+nS3SKFCJLl5p3xrFjmfLbtOnN1+3ZI+LtLZIxo8iuXeatbS4dOnCA7KVL1l3XHlCDR0V5y3n27Bnu3r37/++zZMkCNzc3hIWFoXHjxrh8+TJ27dqFtGnTxrhGhMGjn58fnJycIr3WrFkzNGvWLMHOryhx5flztuEfOMDC4GrVmJL69Vd6C9WsCQwfzuhQv36MzhgMpvvXraPjdcmSjN7ElmF+8YKpqUWLmIobMiTyeq9jNDKtt28fu9Ly5o352rt3gebNefbhwxmZiaujdXQ8e8bUY5YsXNvR0fI17QZbKzNFUZIeoaGhUrduXSlQoIDcu3cv1us1YqTYG8+fi1SuzEiOs7NItWoitWvz61WreM2kSaa5a6/PFdu/n0XQhQuL3LwZ+35Go8iIEVzvk09ijzY9ecLZb/nyiTx9+uZrw8NFBg/m2n5+Ig8exH4ec9i7l5Gr8eOts569oBEjRVEiER4ejgYNGuDo0aPYsGEDMmbM+P/X0qRJAxcXlyj36EgQxR4JDmZkZs8eRnDKlgXeeYf1RwsWMBIzZw6LqZs2pReSs7Pp/lOnWLwNMLrj4xP7nsuX07yxWDEWfKdPH/O1584xKlWpElvoY4sEbdlCt+6UKblP6dKxnyc2xo/nWatUsXwtu8HWykxRlKTFlStXBEC0H7t37472Ho0YKfZKUJBIjRqMFLm6st6oRQtGSmbP5jXLl/P1gICokZ46dXht6tQif/xh3p4HD4pkyCCSK5fIqVNvvnb9eq4/bJh5a1+/LlK6NM87eTIjVUrc0IiRoigWoxEjxZ4JCaFb8/btbFUvXpyO2bNn0/Cwe3dg82agfn22369dS0NHgFGnSpWAI0cYTVq9GqhRI/Y9r11jy/0//9A+oGrVmK8dOZJ1SZs3m7d2aCjQvz8weTLtB2bPZleeYh7arq8oiqK81bi6mgRNWBi9gk6dYlv+p58CEyYAfn5MVR0+zLTSo0e8182NgsXHh74//v4xt9q/So4cnDFWpgzX/vHHmK8dNAj49lteaw4uLsCkSXSg3raNQi8uA27fdlQYKYqiKG89KVJQSNSuzS6yEycognr3Bvr2ZdSmQgWOELlwgVGiiGbOd96hAMmQgZGkFi2AiRNj39PTkx1uXbvyo1ev6P2RDAagT5+4R30aNGAkK1Uq1hvNmRO3+99WVBgpiqIoChhpWb4cqFuX4ujsWbaqDxzIVNagQYy+7N0L3L9P88Lr13lvliwUR46O/LpPH7b6xzYnzMmJk+mnTqWJZN26bJW3Fnny0FyyZUugfXugbVsgKMh66ydHVBgpiqIoyn84O9MBu1491g9dvAhs3EhPo9GjKXjy5wf276f3UdmywPnzvPe99+gY/eQJu92+/ZZO2mFhse/76accPbJnDwXXP/9Y75nc3ICZM9lpt3w5UKoUO94sISTEOmdLiqgwUhRFUZRXcHYGliwBGjUC/v2XhdLLl1MYTZoEdOsG5MzJFn13dwqZiBqekiU5XmT1agqsZcsokp4/j31fPz+aTj55wnX+/NO6z9WyJXDoEAXdhx8CP/8cv3V++41z5iwVV0kVFUaKoiiK8hpOThwm26wZU1u3bwPz57MQe8YMpqUyZWJaLVs2oGJF0zy0AgXoOdSkCSNI+/ZxdtqDB7HvW7AghVWOHED58nTitiYFCrB2yt+f3kyffsq0YVwoWhTw8uJ7E9d77QEVRoqiKIoSDU5OFEMtWjCK8+ABMH068N13FE2ffEKBsHMnUKgQW+537Ii8RpUqrFO6coVpt2vXYt83Y0Zg924gIIDt9mPHRj/pXoTnuXMnbs/l7s7OuenTgZ9+YsTr6lXz70+VitGwU6eAL7+M2972gAojRVEURYkBR0d2c7VpAzx8SIE0aRKLpVevBho3Zrv/li0UGLVq0dH6VYoXZ/opLIwt9ydOxL6vmxvTeUOGsPi7fXv6E73K48fAiBGsh4przY/BAHTpwtTdgwd0t96wwfz7P/iAgm3iRD57ckKFkaIoiqK8AUdHYNYsDoJ98IB1R2PHMuKyeTOFicFA48eIKM+iRZHXyJOH4ihjRgqoffti39fBgYNhFyxghKdaNZN/EgCkSUMRdvw40KlT9FGl2ChenC395coxvTZgAGuQzOGzz4Dq1Tni5JU51HaPCiNFURRFiQUHB9YWdenCVv2QEOCrr2jM+Ouv9D8KC2OxdevWLHSeNi3yGhkzUmAVL8602+uRpZho2ZLpupMn6Ud04YLptZIlGdFauBD45pv4Pds77/As48ezk65yZeDWrdjvc3BgqhGgDUBs1gR2g61nkiiKYv/orDTlbcFoFOnenZPsM2US8fYWWbhQxN1dxNdXJDBQ5OVLkc8/5zVjxpjunTyZ1/32m0ijRiIODiIzZpi/98WLIu+/L/LOOyKvjy0cNIgz1dats+z59u4VyZyZs9x27jTvns2b+aw7dli2d1JBhZGiKBajwkh5mzAaRXr2pBjw9qaIWLyYg2RLlBB5+JDXfPUVr+nfn9//+y8HvKZLJ3LypElgff21+cNeHz0SqVyZQ2LnzDH9/OVLkbp1KbxOnLDs+e7e5R4ODiIjRnDt2Dh50rI9kxIqjBRFsZgIYeTn5yf+/v6yZMkSWx9JURIUo1GkVy8KmyxZKHaWLRNJm1akSBGRe/d43cSJvKZrVwqMhw9FChQQyZZN5No1kZEjTa+Hh5u3d2ioSKdOvG/AAJNwefZMpHBhkbx5eY0lhIeLDB3KKFSNGiL371u2nj1hEIlPuZaiKIqJp0+fwsvLC4GBgfDUMd7KW4IIp9h/8w2QNStNHKdPZ1FymjSsC/L2Zl1Rp05A8+bA3LnAvXuAry+QMiWLsH/5BejcmUXcixaxy82cvSdN4hy3+vVZoJ0yJe0ALl0CPv7YOs+4bRttCVxdaXL50UfWWTcpo8JIURSLUWGkvK2I0Mtn7FgaPT59SiH0+edsud+5E8ienS7TLVqwnX/ZMo788PWlg/TOnfxo2pTF1WvW0B/JHNaupeDKn58Dab29rf+MN27QrPLQIYrAzz5jF15yRbvSFEVRFCWeGAwcFTJ4MMVO6tRAu3aM5oSH07368mUKizVrgK1b2cHm7U3/nzNnKJjq1AG2b2frfYUKdNo2hzp1OLft9m12qEWMJrEmWbOy8+6zz4BevTgqJTDQ+vskFTRipCiKxWjESHnbEQG+/pofOXPS72juXEaTnj8Hdu3ikNk9eyiMChXicNq//+ZstjJluM7Jk/QGcnFhGitvXvP2v3mTHkrnz9OVunbthHnONWtodpk+PbBiBceDJDc0YqQoiqIoFmIwAMOG0ZDx6lUKh9atgVGjGEUqX56O1xUqUCSdOwdUqgS8/75JFAGclfb770CKFEy1mTtINksWzm2rUoVRpMmT42f4GBt169IQ0sOD9UY//RTzPjdvRjW6tAdUGCmKoiiKlRgyhGLoyhUOmW3VikaQmTNz0OzRo0CJEowc3btHwXT9euQ1smdneuzdd3nPtm3m7Z0qFYfO9u3LlFe3bjSdtDa5c3OUSOvWLCpv3ZpRsddZuJDPv2uX9c+QkKgwUhRFURQrElGMffkyIzktW3LURp487BY7eJCRoX37OP+sbFmmwF4lXToWZFeowILtJUvM29vBARg3jpGcWbN475MnjFB17mz+uI/YcHWl6/fChRRjpUoBZ89GvuaLL/i8zZvHfdCtLVFhpCiKoihWpn9/jte4dAnIkYPi6PPPWVtUtSrTXrlzMzLk7s5ZZX//HXmNVKlY0/PJJ/yYPNn8/Tt0YKH34cNM1R09ytEhn39u3eds0YJ7GI3Ahx+yvikCR0fOeDMYKI7sBRVGiqIoipIA9OnD7rQLF1iQ3aoVZ62VKgXUqMEutCxZmFbLmpXRoYMHTfeHhrIwe+5cCq1evRh5Mrd2KCI6FRrKjrLevYEffgC+/966z5k/P1v569alAOrWDXjxgq9lzEixtGePdfdMUGzpLqkoSvJAR4IoSsxMmUKXah8fEUdHkQULRGrWFHFxMc02e/JEpGxZkVSpOHPsyhWRXLlEtm83rTNpEtdp3TpuztYPHoiULy+SIoWInx9HfWzcaM0nJEajyI8/8rmKFxe5fNn02ogR1t8vodB2fUVRLEbb9RXlzUybBnTvzpb9CxeA2bOB9etpyrh0KdCwIRAUBDRowGLlxYuZ+tq7l7VGpUpxnSVL2C5ftSqdqFOlMm//Fy9YYzR/PuDjA9y6xQLqQoWs/6xHj/J5Hj/mfgEBTLU52EmOyk6OqSiKoij2S7duwIwZLIL28aEJpJ8fzRKbNGFbe8qUdLIOCKALdsOG9Any86O/EcBU1YYNTE1VqQI8fGje/ilSMCU3ahQLvZ2cWJidEEXRxYpRHFWsSOuAfv2Aly+tv09CocJIURRFURKBTp3YKXb2LP2LOnZku37r1qw/mjWLxo5Ll/L7Dh04Py17dqBaNVoAAPz611+BixfZ0fZ6u39MGAzsmFu+HAgOpij66quEedbUqYHVq1mAPnGi9Wa3JQYqjBRFURQlkWjfnpGbM2dYtNy1K/DBByzK7tiRhdFOThRJPXvSk6h2babMqlQxjQr58EPgt9+AkBB2nUVElMyhUSOm6Ly82Ll2+nTCPKvBwAL0PXtMos4eUGGkKIqiKIlImzbAggUURwUKUADlycOusR49OKjVwYEdbUOHMv1VtSpFULVqrN0BmJI7cICeR+XKsfXfXEqWpIO1pycdrM01kYwPvr7AsWMJt761UWGkKIqiKIlMy5asKzp9muKoTx8gQwYOo+3Xj6NFAM5emzABmD6dabdixWiuGIG3NyMyRYtSPK1bZ/4ZIhy2y5YFatbkHglF+vQJt7a1UWGkKIrVaNq0KQICArD0VZc3RVGipXlz1hOdOUMn7AEDWCQ9ciRrf778kp5FvXvTyfrnn9nd5ewceR0vL2DzZqbc6tVjx5u5eHqy4Lt7dxaI9+plX4XSCYG26yuKYjHarq8o8WfFCqBZMyBfPtYKDR1KsdOnD40ZJ01ivc7PP9NpulYtYNmyyJEjgIKmRw9GfkaOpLAyGMw/x7RpTOvVqEHB5uFh3ee0FzRipCiKoig2pFEjdoqdPUtfoeHDgQcP6FL93XcszDYa2da/di0LpmvXBv79N/I6jo68Z/hwpuR69oxb9KdbN2DjRhZm+/oC//xj3ee0F1QYKYqiKIqNqV8fWLnSJI7GjOEQ2jlz2KHWti0HwNasCWzZAvzxR+RC7AgMBmDIEHomTZvGSFTEeA5zqF6dUakLF1igffiwdZ/THlBhpCiKoihJgDp16P1z7hzF0YQJwPHjLNJevJiDZMPCOFNt1y5eV6kScPdu1LU6deLU+3XrKKaePjX/HE2aUIQZjdxr5UrrPaM9oMJIURRFUZIItWsDv/xCd+pChYApU4B9+1hf9MsvTLu9eAGUKMFutHv32K3Wpw8jRK9Sty7b8I8cocAx1+W6QgUWe9+7xxEmjRoxgvW2VCSrMFIURVGUJETNmqwlihBHP/7IrrPVq5lGq1OHc9UKFqRoCg2lkOnendGlVylfntfcvcu6oYsXzTtDmzbAwIGMWDVuzELudu24V3JHhZGiKIqiJDGqV+dMtAsXKIDmzmX32rp1FDq1arH4OnduehFlycIutdato3oZFSpEI0gnJ4qjo0fNO8PIkZzXtmEDMGIEB9hWrWr+fDZ7RYWRoiiKoiRBqlRhl9jFixwfsngxMG8ef3bkCMVTYCBF0d69nL/m6Egxs2tX5LVy5uQIkZw5mSrbsSP2/R0cgPnzaUA5bRqF0enTQOnSjGYlV1QYKYqiKEoS5eOPmUa7fJk+RytWUKRs2UKRUrkyIzjp03OwbIkSLJquVYuda6+SLh0FU4TT9bJlse+fMiWwfj3vTZ2aazo5URzt3p0gj2xzVBgpiqIoShKmQgUKoStXGBVas4bz1LZtA65dY2favXs0hdy+nd+/eEHRdOJE5LVSpWKqrWlTtvJPmRL7/hkzctZZ5crAu+8Cv/8OFC9Ou4A5cxLmmW2JCiNFURRFSeKUK0djx6tXOTx20yYaOW7fDty/T/F06xYjPBs2AP7+wPPnTL29jrMzf963L521Bw6MvePM0dH0derU3L99e370788oVXLBydYHUBRFURQldnx9GSWqUQPIk4d1QuHh/FmtWuxA27kTyJGDHkYdOnCcSN68dM9+FQcHRp0yZaJAunsXmDmTaTJzcHbm6BEfH95/4QKwcCEjUvaORowURVEUxU746CMKoZs3mdbau5eDX7duZdSmfHng0iUKnDlzODuta1dg3Ljo1+vTh4Jm4UIOoA0KMv8sBgMH3K5ZwzNFRK3sHRVGiqIoimJHlCrFaNGtW4wOHTxI8bN5M1v2y5XjaBEHB2DyZI4IGTCAXkTRpcxatGCB9e7d7ISLazt+QAAtA+7c4RiRY8es85y2QoWRoiiKotgZH37ItNmdO0C2bGzfb9+e9UVp0jBy9PffjOoMHw58+y3dq3v0iL4eqEYNdqxduEBhZe4A2atX2bpftChw6BBTc+XKRfVSsidUGCmKoiiKHVKsGMXM/fv0MjpxAmjZkq7ZWbOyO+3PP3ltnz6sIZo2ja7W4eFR1ytZkl5HQUFAmTLAqVOxn6F9e8DPj2fInJljSqpV4ziSCRPsc4yICiNFUaxG06ZNERAQgKVLl9r6KIryVlC0KMXRw4eM1pw7x1b8VatYGF25Ml2vAaBjR5o0Ll1Kw8jo6ol8fHh9mjSM/ETcGxOzZ7P7LSAACA5m8fXKlUC/fizK7tKFg2/tCYOIPeo5RVGSEk+fPoWXlxcCAwPh6elp6+MoylvHyZM0g0ydGnj0iOm1X37hiJAjR5hiq1iR1w4bBnz9NSM8584B7u5R13vyhDPZDh0Cli9n+39MHD7MwutatTjs1uG/kMucOUDnznxt5UqezR7QiJGiKIqi2DkFC9L5+ulT4J13gBs3GMWZP59pMT8/dq4BFEYDBrB428cHePw46nqpU/N6Pz92q73JyLFECUahVq3iuhG0a0efpaNH2U1nL6gwUhRFUZRkQP78FEfPn9MF++5djv6YMYPdZgEBpqLoMWNYd3T7NkeN3LsXdT1XV44g6dCBtUSjR8dcM1SnDjvgvvkG+PFH088rVmTXXHQ1TUkVFUaKoiiKkkx4/32Ko+BgpsiePGHH2ZQpTIc1aECxA7BTrWdPCqiCBaPvRHN0pJHjsGHAoEF0yo7J5bpnT350705/pQh8fCghp+47AAAJGUlEQVSO7AV1vlYURVGUZISPD7vDKlUCUqRgBKlqVZowurqyODskhB1s330HhIYyylO0KAVM3ryR1zMYgK++4sy07t0ppBYs4NqvM3EivZVKloz887RpE+55rY0WXyuKYjFafK0oSY/LlymODAamwBwcaAw5diy7yWbMYKeaCNC2LQunvbwooAoXjn7N1as5fLZcOX6dHP9z11SaoiiKoiRD3n2XkaMIRCiU+vVj5KdTJ2DqVAqnOXOAM2fYqVahQsypr/r1KZwOH2b90N27ifIoiYoKI0VRFEVJpuTMSXHk6Ai8fMnhrxUrUhh98QVrgsaPZzQpZ06OBSlYkMXau3ZFv2aFCqwhun2bg20vXUrEB0oEVBgpiqIoSjImRw4WZKdIAbx4QRPGSpXocTR0KNC/P32NRJhK27oVKFuWHW0xjfYoUoTmjw4OtAOw9/lor6LCSFEURVGSOdmzUxylTGlq569UCWjYkK37w4YBAwdSHKVMybEitWszdbZkSfRr5srFESI5cjCKFFOEyd5QYaQoiqIobwFZs1IcubsDgYFA+vQURzVq0INo3Djg888pjlKkAJYtY+daixYs1I6O9OkpiD76iOssXx79dfbU5qXCSFEURVHeEjJnpjhKnZrz1TJn5igRX1+Kn6lTOcbDaAScnNi9Vr06Z56NHx/9mu7uwPr1QOPGtAKYOjVRH8nqqDBSFEVRlLcIb2+Ko7Rp2VWWPTuHzRYuDMybRzHUpg3dqkNDgQsXOGakf3+aPEYX/XFxobdRr14s6B48OPJ1BkMiPZwVUGGkKIqiKG8ZGTOyAy1jRuDmTSBPHqBaNSB3bs49W7oUaN6c3Ww7drDuKGNGjgXp2TN692sHB2DCBI4FGTWKHkn2NAokAhVGiqIoivIWkiED64OyZAGuX+c4kerVKYBWrmQBdsOGjDDt2EExlCMH8MMPNISMSfT07cvhtfPmcQRJUFCiPpbFqDBSFEVRlLeUdOmAnTuBbNnoR1SwIODnx7qhtWtp5linDtNt27Zx9pqPDzvVmjRh+390tGrFuqMdOxiJevQocZ/LElQYKYpiNZo2bYqAgAAsXbrU1kdRFMVM0qalgMmVCzh/HvjgA7bqA8CmTcD+/UCtWky3bd4M3LgBFCoEbNwIBASw/T86/PwYkTp7FihfPvGex1J0VpqiKBajs9IUxf558oTRnfPnWYj9xx/AqlVAmjQUOQUKUBj9+SeF05Ah9EAqUgTYsIGdbtFx7hzXvXYtcZ8nvqgwUhTFYlQYKUryIDCQfkSnTwPFitHA8eefmWqrVo3z17ZuBYKD6Yt06BCvz5GDP8+QIfp1b95kLZM9oKk0RVEURVEAmEaCFCwIHDkClCtHf6IrV9jif/06TSFdXHh9yZKcm3bnDtNlN25Ev669iCJAhZGiKIqiKK/g6Qls2cIU2aFDFEJNmwInT3Ig7YMHHAFy8yavL1gQ2LcPCAnhjLWLF217fktRYaQoiqIoSiQ8PFhPVKwYh8VWq8bxIIcOMUIUFMQIUUTdUJ48LNJ2c2OU6cQJ257fElQYKYqiKIoSBXd3dqVFpMv8/OhftGcPvwcojiIiRFmz8ufe3owoHTpku7NbggojRVEURVGiJVUqdpyVKcPWe39/oEMHRpP27mWEqHx54MwZXu/qCvTpA+TPzzEju3fb9vzxQYWRoiiKoigxkjIlsG4dU2TbtgH16gFdu7KVf88emkRWqAD89RfnrLVsyVlrZcowyrR+va2fIG6oMFIURVEU5Y24udEJu2JFptcaNgQ++wxYtIhRoWzZWKRdpgzQrh3QuTPTbrVqAfXrc/aaveBk6wMoiqIoipL0cXUF1qzh/LN16zgSpG9fIDSUY0Vq1gSqVmWE6PlzjgVZvZqF3J98AjRrZusnMA8VRoqiRGHYsGFYtmwZ/vnnH7i4uKB48eIYNWoUSpUqZeujKYpiQ1KkYAqtcWOKnubNgS+/BMLC6H/k70+B9Msv7Fxr1IijQ+zJ91WFkaIoUfDx8cH333+Pd999F8HBwZg0aRKqVauGixcvIn369LY+nqIoNiRFCmDFCnobrVgBtGgBfPUVxdHGjUydBQTQMTsoiENot2+39anNR0eCKIoSKxEjP3bs2IHKlSvH+LqOBFGUt4ewMKbH1q5l5GjBAqBfP2DYMKbZtmwBFi4Epk7lCJEjR2x9YvPQiJGiKG8kNDQUM2fOhJeXF4oUKWLr4yiKkkRwdmZRdYsWwJIl7EQbP541RxGRpE8+AX76iQaR9oJ2pSmKEi0bNmyAu7s7XF1dMWnSJGzfvh3p0qWz9bEURUlCODsDixezlmjhQnakTZ5ML6PFixlR6tAB2LHD1ic1HxVGivKWs3jxYri7u///Y9++fQCASpUq4fjx4zhw4ABq1KiBxo0b4969ezY+raIoSQ0nJ4qiZs2AefMohKZNA3r0AObOpVhq08bWpzQfrTFSlLecZ8+e4e7du///PkuWLHBzc4tyXd68edGuXTsMHDgwymsRNUZ+fn5wcoqcoW/WrBma2UufrqIo8eblS6B9e4qkDh2YQmvdGpg5kxGkKVNsfULz0BojRXnL8fDwgIeHR6zXiQhevHjxxmuWLVumxdeK8pbi6AjMmcPPP/0EdOrEz2FhjBzZCyqMFEWJxPPnzzFq1CgEBATA29sbDx8+xLRp03Djxg00atTI1sdTFCUJ4+BAMeToyEhR5878PjwcWLbM1qczDxVGiqJEwtHREWfPnsX8+fPx4MEDpE2bFiVKlMC+fftQoEABWx9PUZQkjoMD8OOPrD2aPh3o0oUz1OwFFUaKokTC1dUVq1evtvUxFEWxYxwcgB9+MH3u0sXWJzIfLb5WFMVi1OBRUZToEAF69QK++45f2wMaMVIURVEUJUEwGIBJk1hzZC9oxEhRFIvRiJGiKG9ChCLJHlCDR0VRFEVREhR7EUWACiNFURRFUZT/o8JIURRFURTlP7TGSFEUixERPHv2DB4eHjDYU8xcURTlNVQYKYqiKIqi/Iem0hRFURRFUf5DhZGiKIqiKMp/qDBSFEVRFEX5DxVGiqIoiqIo/6HCSFEURVEU5T9UGCmKoiiKovyHCiNFURRFUZT/+B+dEaxAIMC+nAAAAABJRU5ErkJggg==\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": "markdown",
"metadata": {},
"source": [
"Adding the curvature singularity $r=0$ to the plot:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"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')"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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GFxcXJk6cSIcOHYr9vtyuL0lP5mWHotAtWzg3fTpajQbL4WNZkV4Bl8rWGBvocjLoDl+940psShZrT95CV6mgZsUyJKbnoqNUYmSgS0J6DlVSzrDw2xmFbX7xhQhFtragrw9hYSIUKRTg6QlVqojptKZNwckJ9u9/plf20ryUYAQiHM3cdJHLYYm4VSuLX8hdxnZzxaliGcatOUtZc0OGWqdx7ZspKDWPbke0b9uWtxYtQqmn9zK6K0nSE5DBSJKeXGZUFGe//poavXrh2LFj4fXnHYpu/PEH/vPnF/67RqEgpPNQbFq3ZV9ANJPebUBMcha/HQ1GqVBQz9GSuJQcUICZoR5xqdlUTfmbhd5FoWj0aBGKKlQQQSg6WtQqysmBTp3Eguu9e8HCAkJCxBqjatWe+hFeqpe2qllfV4dpPRtSz9Ea/9uJeNSw5budl7kVl45338bEpebwR6olbt/9gFpX/6F7k+2daL5woQxFkiRJ0mtBU1BA+J491OzT54WFIq1WS+Dy5Q+FIgClVkvt/b/RVnGXGR+5k5CRey8UQYMq1iSk5aLRajE30uNOSjZV/hGKRo3yxsfHi4oVQa2G2Fg4ehTS0sRIUf36YuTIwkJ8X09PXC8tXup2L31dHb750J06DlZcCkukYbWyLNhxiZjkLL7sWo+bd9JYdceAZj+uRGUgpsxSbCuzt3E/9l2Ne5ldlSRJkqRn9m+TMko9PZz69qXSA4nh9v3dZ88jFGk0+M+dy9Uffyz+c5UKdcg14tNy+OlAEOUtjGhUvSzxaTnkqdRYmhgQk5xNlZQzfPdAKBo5UoSiSpUgPx+SkuDYMbhzR4wUNWsmRorMzMT3g4LgrbegNG0uf+ldNdDTYfpH7tSyt+RqZBL1q9jgvTWA2/HpaIGgqBR+CdPSZtVqMirX4VDLQXjUrcTSPVc5ciXmZXdXkiRJkp6KVqNBoVCgUanIS01FlZsrrt8LS3qmpoXfDfvrL8J3735uW/LPTZ/+n8WSXUaNIr7Veyzdc5UeHpWZ178Jcak5ZOUWYG1mSHRSFlVSzrBo7szCe0aMEKGocmXIyoL0dDh+HG7dgm7doEMH2LkTjEUVHi5eFLvSrK1FocfSokQynKGeDjM/cqdmRQuuR6Xg4mjFhtOh9G1RHR2FgkvhSfx0I5d+W31p7eHEJx1q097VngU7LnM2JL4kuixJkiRJT0ShVKLOz+fSokUcHzGCG3/8gUatRqFQPPS9/PR0suPiaPLtt89tS37Z/yg13XDSJBJbdOP7XYF0dqtEn7eqM33DBdKy8rEtY0xUYiaVU07z/QOhaPhwb/7804tq1cSUWU6OCEWXL8MHH4hgtHkzGBqK7588CW3bQvXqYkSpfPni+/IqKrHBLUN9XWb2akTV8uYEx6bi7GDJulOhDGjjhJ6Okgu3Eli44zIjO9WhoqUJX3atR1Oncsze7M+lsMTCdrRaLZlRUSX1GJIkSZJULI1aTeCSJRhaWZGbnEzk/v1oiqkFpm9uTu1BgzC2tX1udYqqdu+OtufDBz4rlEoaz55Nknt75m27RJu6dnzcxonJa8+RlJFLBUtjIhIyqJxyhh/mzSq8b9gwEYpq1oTERLGu6MQJOHMGeveGXr1g+XK4cUN8f98+ePttcHeHgwfByuqZH+elKtFZPyN9XWb39qCKrTmhcWk42Vmw5lgIg9vVQk9XyZngeOZtu4RGq0VHqcTr3fq4OFrxzYYLXI9OAeDKsmXsfvdd7pw5U5KPIkmSJElo1OrCf1bq6GBepQrOQ4fSYOxY6o0Yge79eaZ/uF/E+HkVb7wRk4KPrhMB9cQaJqWeHm8tWkRyvebM2eJP81rlGeZZm6nrzhGXmo2dtQm374pQtPiBUPTZZ2L6rHZtiIsTu8uOHxeB5+OPYfBgWLIEunYVI0cbNojRo/btYffuorVGpclL267/X7LyCpjie47IxEwcy5oRGpfGZ57O/HTwOnkFatq52DG+mysKhYLcfBWT154jIiGTjsn+mOz8ExD/o2q2YMFDC9kkSXo55HZ9SSqiyskhxNeX7Lt3SQsNpd2qVajz89HRFzuutVrtI9Npz/X31Rqmb7yA/+1EjPSUNL5+iH5D3+VuRSe+Xn8et6plGfuOC9M2nCcyIQPHsmJwonLqGZbOn13YzqefeuPr60XduhAVBSYmcOQIbN0KX3wBI0eCtzd07iyqXY8ZA7NmiRGk338Xu9FKo1dinbiJgR5z+nhgZ21CZGIGVcqZ8/PB64zsVIdadhYcDoxhxf4gtFothvq6zOrVCJfoolAEoFGpOD12LKHbtpXgk0iSJElvMq1GQ8DChaSFhpJ87RrJQUFkx8ejo69fuOj6RYYitUbLgh2X8b+diL6uknIWJny6bA5J9rWYvPYctmWMGPtOPWZsukj43Qwq25pzKy4Nx5SHQ9Enn4iRonr1ICJCHOtx7Bj4+opQNH48LFgA778P/v5i9GjGDPjkE1izpvSGInhFghGAiaEe3n0bU8HShJikTCrZmPLjvmsM83RmdOe67DgfzqrDN9BqtWRdC6TGEd9H2tBqNPhNncqNNWtK4AkkSZKkN51Wo8G8alWaenvj1L8/ADfWrEGdn//cA1Ha7dvkpqQU/bZWy5I9VzgeFIuOUkEVW3PmD2hCXEo2Xr5+qDVa2tSpyOwtAdy6k0q18mUIiU2jcvIZli0oCkVDhohQ5OoKoaFiV9nRo/Dzz+DlBd98I4756NVLTKt9+CEsXgwTJsCKFWK6rTR7ZYIRgKmhHt/29aCchbGY87QyYfLac9SoUIZhns5s+vs2viduYuPqil3nLv/ajv+8eQQuW/av9SMkSZIk6UVQ6uqSl5JC6LZtOHTogK2bG+G7dpFyb2WyVlP8sVdPKvnaNQ7178+xzz6jIDMTrVbLL4eusy8gCqVCQR0HK7z7enAnJZtxa86iUmsZ1KYm16JTuB6dQvUKFgTHpFI55TTLFhaFosGDxfSZm5uoWF2xopg+mzs3gxkzLvPVVyFMnapl0CBx3EfnzvDbbzBnDsydK6pgF+f338V/3759m/Dw8OfyDl6UV2KN0T+lZ+cz0cePpIwcrM0MuZuWw7x+Tbh4O4HVR4IZ0q4WPZtUYceEaWTvLX7qTKmnR+dt2zCvUuUl916S3jxyjZEkFa0dyk1OJu7vv6ncpQvZ8fHs+/BDyjZoQIsffnjoe0/r7oULHBs+HFVWFgA5jrXQHfMNa/2iUCqgcY1yTH6/ATFJWYxadZoCtYZPO9QiICyJy2GJONlZcj06BceUM6z4bk5hu4MGiWM+3N1FYcYqVWDt2kS6dfuCkJBNQAEAlpb2pKR8RsuWIzlxwoKlS8V6o/tOnDjB5cuXGTVqFFotzJ8PXl7+NG8+Go1GQ0JCAt9++y09e/Z86nfwIr1SI0b3mRvrM7dfY6xMDUnOzMPGzIhJvn54VLelT4vqrDp8gx0XIui+YBYWHw185H6tUknz776ToUiSJEl6ae6HHT1TUyxr10ar1WJka4tTv35EHTpEyLp1D33vacQcP87RTz8tDEUARhE3iFswkzoVzGhVpyJTP3AjLjWb0atFKPr87doEhicTcDsRJ3tLgqJTqJR8+qFQNHCgGCny8ICrV6FGDVi/PgkPj2aEhFxiwICVHDhwgIULF2Jrawp8zYkTjnTsOI727W+QnZ3N+fPnGTZsGNu3b2fkyJFoNPDll+Dl9QNKZRPatWvHmTNnGD58OLdv337qd/CivZLBCKDMvXBUxlif1Ow8LEwMmOjjRyvnCnzQtCor9gex1S+MztMmUO6TUQ/de6vDABzatSuhnkvSm6tXr15069aNdff+ApCkN5GOvj5lqlZFoVCgUChw8PTEokYNbm/bRkZExFO3G75nDydGj0ZdTC0kh9jrDFJfZ0KP+iSk5zDyl1PkqzSM6lSXwIgULoQm4OxgSVCUCEUrF31beO+AAWKkqEkTuHQJ6tSBPXugS5cppKeX4ddf/fnjj8F06NCB4cPHUq1aELq626hWrQb79n1H7dq1MTExwcPDA1NTUxYtWkRBgYI+fdQsXjwM+JIvvxzNjBniaJE9e/bg+QrvIH9lgxGAhYkB8/o1wdxIn8zcAsyM9PDyOcfbrvY0qGLNzwev43viJu3GDMNh7GQ0CiXn3LqT27Al6uc0jytJ0uNbv349O3fupHfv3iXdFUl6ZZg7OlL3889JDgri7oULT9XGzQ0bODNhAlqVqtjPK7RoQe0BA0jOyGOS7zmMDHQZ06UegRFJ/B0cR51KVlyNTMEh8RQ/PRCK+vXzZt06L5o1E0d4NGggjvUYNgxu3tzCxInTGTLEABBHgHTqBMeOKdizpwe3bl0gMDCQOXPmoKurS5cuXZg/fz4ZGdC5s4ZNmz4GfqJjx47Mv3eQ7dKlS6lduzYNGjR4qvfwMrzSwQjA0tSAef0bY2ygS3aeCiMDHbx8/fi4TS3KGOuz5ngIa0/epMXgvtT/zZeIeq0ICEvku52BaF695VOSJEnSG6iSpyeuo0djam//xPeq8/O5uX49/MvfaQ4dO9JyyRIy1Eom+pxFrdHyw8fNCIxI4kTQHepVsuJKRBIOSaf4+Qfvwvv69vVm/XoRis6dg8aNRY2iQYPun3mWT+/eor9JSaJo46VL8OOPgZQvfwUAIyMjVq5cib29PWvXriUxUUmbNnDixDA0Gh+qVavGunXrUCgUzJkzh5CQEL7//vuneIMvzysfjACsTA2Z378JRvq65BVo0NfRYfbmi3zbpxFljPX541gI60/dpG4jF379vBVePepz5EoMP+67JnemSZIkSa8E56FDKde48RP/vaSjr0+bn3+Gso8eOFb1gw9oPn8+mSrw8vEjO0/Ft3098D11i6NXY3FxtOZKZDL2iaf45YFQ1KePCEVvvQVnz0KLFrBxI/TpI6pa79wJbm4uXLhwgTt3oFUrCA+HPXuy2LRpMtWqVSMmJob27dsTFRXFzz//TGKiOc2bQ3DwLAoKfkFXV5e1a9dy9+5dPv30U1xcXFi6dCk6r/h+/lIRjACszUQ40tdVUqDRoFQomLnZn/n9xTqk346GsO7UTazNDGld147RXerx14UIfj8a/FA72XFxHPr442ea55UkSZKkJ3X/uI+nWXydaWDKSc9hZBsV7fqs+fEgGk+fTnaBhsm+fqRk5eHd14Mtf9/m4OVoXCpbExiRhF3CKX5dPLfwvl69vNmwwYsWLcR5Z+3agY+PKNZ4+rRYX/T22zBkyCymTp1Ow4ZHSEnJYsUKf6ZPf5dJkyYB8M477xAREcGgQYMoW7YDzZpBZuZWsrK+AeDTTz9lz5497N69m+XLl/POO+88y+t7aUpNMAKwMRfhSFepQIsWjUbL9I0XWTigCRbG+vx+LxwBdHarxCfta7P+dCgbTocCkBAbz/5BQ7h7/jwH+/cvrCshSZIkSa+ymOQsMkysONLmE/INjHEe/QXu48eRk69m6tpzxKXm8G0fD3ZdjGRvQBSula0JDE/CLvEUq5YUhaIPP/Rm40YvWrYUIahTJ1i9Grp3h4AA2L8f2rQRBR0//bQ1GRlrSE9fgrV1K7Zv/54ffviB5s2bM2rUKAICAjAxMaFLF29atgQbm+tkZAxEq9VSs2ZN6taty/jx4xk27EsCA/VL8O09mVeyjtH/E5+azfg/z6LRaNFowUhPhxm93Bn7+9+kZucz/cOGNHUSQ45/HAtm7clbjGhdlbhvxmIaXzRSpGdmRusff6Ssm1tJPYokvRZkHSNJerEi7qYz4tdTqNRaxrerQrtmztxJyWLe9ktEJGQyt68HR6/dYZtfGK6O1lyOSMIu4SS/LZ1X2EbPnt5s2eJFq1Zw4gS8+y4sXQpdukBYGBw4AO7uYmqtTRtQq6FmTTh0CMo/MIu3Y8cOevToAcB7703lr79mUr/+GdLTPyE4+DqtW7fm8OHDKJVK1Gro2VMcJ5Kc/JJf2lMqlcEIIC41m/FrzqIACtQaTA31mPFRQ2Zt9icuNYf5/ZtQo0IZtFotK3dfIvu7b6hwN/SRdnQMDWnxww9UbNHi5T+EJL0mZDCSpGenUalQ6uo+cj0qMZPhv5ykQKVhyvtutHCuQExyJp//dJICtZYFAxpzNuQum/5WI8UTAAAgAElEQVS+jaujFZcjkqlw9yR/LCsKRe+/783WrV60aSNCyocfwsKFYsQoLk6sK3J1FYfBNm8OOTlih9r+/WBlVdSXjIwMnJ2diY6ORqFQotUOwtz8NCpVJNnZ2ZiZmXHlyhUcHR3RasXBssuWwbZt0K3bS3iJz0Gpmkp7UHkLY+b3b4Jaq0VPV0l6Tj4zN/nzzYfuONqYMsnXj9vx6SgUCga1qIq1QfFzuurcXI6PHEn4nj0v+QkkSZIkSciOj2dfz55E7Nv30PWoxAw+/1mEoq97ilAUnShCUZ5Kw7hu9Th/K+GhUFQ+/sRDoei994pC0dGj0LevOL6jXTtITBTnnbm6iiNAWraErCxo2lQcBfJgKMrOzmbMmDFER0cDoNU25+23W7N58zJycnIAmDdvHo6OjoA4P23JEhGMSksoglI8YnRfTHIWE9acRU9HSXa+ChszQ77u6cbszf4kpOeycGBTKtmYkpmezqoPPqZsTHDxDSkUtFy6FPs2bV7uA0jSa0COGEnS08uIiODI0KFkxcai0NXF4Wtv3vqgMxF3M8T0mUbD9J7uNHEqR0RCBiN/FcUbx3d3JS41hz+Ph+DiaEVgRDLl4k/w5/L5hW336OHN9u1etG0rgs7gwTBlCnToACoVHD4M1atDRAQ0bCi25Xt6wvbtYGQk2khJSeH7779n+fLlJBfOhzkxZ85lJkzQpWFDNwIDA2nWrBmnTp1CoVCwbZtYzD1+PMyb9+gzv8pK7YjRfXZWJszr35g8lRpjAx3upuUwZ0sAU953w9LEAC+fs8QmZ2Fqbs7QrT7EVqlfbDvWLi6Ub9z4JfdekiRJepOl3LjBwf79yYqNBUCrUhE2awpRfucYvfo0KrWGaT0b0sSpHLfj0gtD0VfvuJCYnvtQKLKNO/5QKOre/eFQ9NlnMHEitG4tPj9xQoQitRreekuEou7dxeGwRkagVqtZtGgRbm5u6OnpUa5c0UKjiRNXMHmyAevXryMwMBAdHR1WrFiBQqHg3DkxKvXBB+DtTalT6oMRgL21KfP6NyE3X4OZkR6x9xakTfvQDSM9XSb6+BGfmo2JqTHDN60m0qnpQ/enWpSnyeKl6Bobl9ATSJIkSW+aBH9/Dn38MblJSQ9d11Hlc2z4CMySY/m6Z0OaOZUnJDaV0atPk6/SMKZLPTJyCvjtaDD1KolQVPbOcXx+XFDYxjvveLNjh5g+O3JEHPI6erQIRcbGIhTdm/Fi+XKIjobevWHLFtDTg/DwcJo1a0ZISAgXL17E0tKe69eDAPD0HMLcuWJ2xfte8hk0aBAuLi7Ex8M770D9+vDHH6AshSmjFHa5eJVsTJnXvzHZ+SosjQ2ITMzku52BTP/IHaUCxv95lj+Ph2BkqM8In+XcchFnqeVblsVh5kLKlLUu4SeQJEmS3hSxJ09y5JNPKMjIKPbzDANzRvVsSvNa5dFoNEzfcIECtYaRneqQp1Lzy6Hr1HWw5EpkMjaxx/BdURSKunTx5q+/itYUffklDBkiQpGNjVhTZGcnCmnPmgVffCGmvHx9QUcHgoKCePvtt5k+fTorV64kMrKAMWPGAeDs7MGOHcsA8Pf3JygoCD09Pb7++msAbG1h0iTw8UlHX19d2KetW1/Me3wRXptgBOBY1ox5/ZqQkVuAlYk+t+PTWbLnCjN7NSI7T4XPiZss3n0FUyN9Rv+6gMAm7/FX88GE5T66C0CSJEmSXoTMqChOjByJOje32M8TrCtRd/EKGjeqjVarZfWRYJIy8xjm6QwoWLE/iDoOllyNSsEq5hhrVy4svLdzZ2927y4KRRMnQq9e0LYtODiIa+XKiVA0fjxMmwazZ4t1QAoF5Obm8tFHH/Hnn3/SqVMnrl/X0rTpINTqZMqVs+PQoe0YGhoCcOjQIQB69OhBpUqVANHGgAHJfP55TyIjI9FqxULv999/se/0eXqtghFAZVsz5vZrTHpOATZmhoTEpvHj/mss6N8EYwNd9gZEMX/HJcyM9Bn7/WR0bCtwPjSBlMxHTyuWJEmSpOfN1MGBeiNHFvtZbLka1F6whJaNagLgc+Imm/6+zTBPZwz1dVi29yrO9hZci0rBMvoo638qCkUdO3qzZ4+oU3T0KHz9NXTtKhZa16olFlpbW4s1RZ99Bt99J3aNTZkiAg3Ali1baN68OR4eHpw9C25uM8jN3UuFCvacOHGEChUqFP7e/d1p3R7YchYTE0PPnj1ZsGABdnZVGDJEjCBNnfq83+KL89oFI4Cq5cyZ268xqdn5lDU34np0Cr8cvsGCAU0w0tfhyJVYvLf6Y2VqwA+DmqFSa5i89hwZOQXFtnd727ZH5oAlSZIk6WlVGfAxYfUe3gUdbl+P6rMX4Nm4BgAbTofic+Img9s6YWqox+JdV6htZ0FQdCploo6y4efvCu/19PRm3z4Rio4fh5kzRZHGjh3Fep/9+8HCAgoKxMLoVavg999h1KiH+xUaGkqNGjXYvVtLixbfkps7g2bNWnLx4jlq1qz50HerV68OgPLeQqIdO3YwYMAAfvrpJ+zsXPD0FNNza9aIKbvSotRv1/8vN++k4eVzFitTA+JSc6hfxYZ+LWswYc1ZcgvUNKlpy9QPGhKTlMW4NX9jb22Cd9/GGOkXTa0Fb9jIxZkzMHN0pO2vv2JSsWIJPpEkvZrkdn1JejIrDwSx3z+C7td3on/hBCFVG1FznBd9WtUCYJtfGCsPBNG3RQ0cbEyYv/0SNStacCMmFfPII2z+dVFhW+3be3PokDj77ORJsROsfn1R2bplS1Fc0dgYsrOhRw9R4HH9enjvvUf7denSJdq160Zysh7m5mYsWDCGTz4ZWOz5bnl5eQwZMoQDBw5QvXp1OnXqxFdffUVMjAldu4pK19u3ix1vpclrHYwAQmJT8fLxw8bckJjkLBpVs6Vns6pM8vEjX6XBraoN33zoTnhCBl5/+lHTrgyzejVCX1eH3b+sI3XxHBT3XpFRuXK0+flnLO6lZEmShPvBqFOnTujq6tK7d2969+5d0t2SpFdWVq7YVbbr3G2qRgTg1rsnQ9rXRqFQsMc/ksW7r9CzaVVqVCjD3G0B1KhQhuDYNMwij7DlgVDUtq03R4548dZbcOqUmB6rVk0cw9GxI2zcCIaGkJYGdetCTIwIK8UVXNRqRTXsCRMKGDgwj19/NaWYQtz/6dgxEbjKlRPb/qtVe7b3VBJe+2AEcCMmlUm+fpQ1NyQmKYumTuXo1siRyb7n0ddV8svnrbA2MyQwIokpa8/hXq0sn9jnc3TY5yjUqofa0jc3p/XKldi4upbQ00jSq0eOGEnS49Nqtfxy6DpbzoahADo2cOCLLvXY7R9J+N0Mdl2I4J1Gjrg6WjNnSwDVyptz804aphGH2brq+8J22rTx5uhRL5o1gzNnxLlnZctCv35iZMjXF/T1RX0iV1cRir74An744dE+aTQwbhx8/71YDzRzZtG6o+JcuyZC1I8/FhWC/O03sXapZUvYvFlM3ZVGr+Uao3+qZWfBt308SEjLxc7ahDPB8ey+GMWMj9zJV2lYuucqKrUGF0drpn7ghl9IHAe++faRUASQn57O4SFDiD11qgSeRJIkSSoN8lJTuTBnDqp7R2Xcp9Zo+WH3FbacDUOpUNC6bkVGda7HVr8wlu65yl8XIni7gQNuVW3w3hpA1fJm3LyThnH4oYdCUatWIhQ1bSpC0cqVYGYGffqIXWjr1olQdOcO1KsnQtHnnxcfivLzoX9/8dmyZWI90H+Forg46NwZLl4Ua5Y0GvDyElW1Bw2CvXtLbyiCNyQYAdS2t2R2n0bEp+bgYG3CiaA7HLkaw9QP3Dh/6y7zt19CrdHSuEY5JrzrxnaP/qRa2xfbljonhxMjRhCxd+9LfgpJkiTpVZcdH8+hgQMJWbuWY1+MIS9X7HouUGuYuy2A/QFR6Ooo8KhelrHvuLD+1C1+PngdhQLa1K1IM6fyzNkcgGNZU27dScco7BDbVxclmpYtvTl+3IsmTeDsWbGQGuDjj0W9oj/+AF1dCAsTI0V37ojPli9/tK+ZmaIg4+bNsGEDjBjx38+WlSW+r1LB7t3id3r2hPnzxTTeypWiQGRp9sYEI4A6DlbM7uPBndQcKtmYcuRKDH8Hx+P1XgNOXo9j0V+X0Wi1tK5Tkc8+aMqe1p+SWL74CVKNWs0bMAspSZIkPYH0iAgO9utH2q1bANw9fYq1n4wmN6+AGRsvcOZGHPq6Suo4WDH5/QasOX6TNcdDUCoUvFWrPO1d7Ji16SIO1iaExmdgcPsgO34rCkXNm3tz4oQXHh5w7pwIQenpMGyY2GH200+i2vT169CoESQkwIcfwurVj44CJSSI+kZ//y1GeXr2/O9nU6vFiNT162L9kK4utGoldrxt3w5fffXfI02lxRsVjADqVbJiVq9G3EnJolJZM/ZfiiIgLJEJPVw5ciWGpXuuotVq6dSgEoM6N2Bvi8HEVXZ5pB2HEV9SuXPnEngCSZIk6VWUfP06B/v1Kzz37D4D/1NcWTgfHcBAT4fKtuZM69mQVYeD2XgmFB2lGD3q7FaJmRsvYmdlQtjdDPRDD/LX74sL22nWzJvTp71wdxfTWD4+4iiPL7+ECRPEafYKBfj7Q7NmYldY166wdu2jgSUsDJo3h8hIsb2/bdv//3xffSUC0caNInx5eIjRqJMni1/MXVq9ccEIwLWyNTN7NSI2OYvKtqbsvhjJ9ehUxnR1YY9/JCsPBKHVauna0JHerZ054NGbO7WLzle77dEF14H9S/AJJEmSpFdJvJ8fhwYOJK/w9PmHRR05SkREHLZljJjd251fDl5nx/lw9HSUuFa2pkfjKszYeJHylsZEJGSge+sAu/4oCkVNmnhz5owXbm5w6ZJYQ3T9OkyeDNOni+rSCoXYmdamjTgcdvx4cfaZjs7Dfbl8WQQnjUasT2rQ4P8/3+LFohjksmVi5Kh5c3H8x7lzj3d/afLGnoVRv4oN0z9y55v1F6hia8aO8+G816QKIzvVYdneayRm5BIck8qcPh5k5RWwQ9GD9iZmpKdn0XTUCMyN9Uv6ESRJkqRXQOzJk5wYNQpNQfFFgk2rVmN380EozMz4tq8H5sYG6Oko0ddV4lTRgl7NqzN9wwXKljEkKjETnVsH2L1mSeH9jRt74+fnRYMGcOUKbNoEp0+LXWHz5onRIhBTWu++C40bw86dYjH2Px0/LkZ3qleHPXvEtvr/JzMTFiyAsWMhLw+6dxf/8fEBE5OneWOvtjdyxOi+hlXLMv0jd6KTsqhc1oytZ8NISMvl0w61OXU9jnyVhvFrztLB1Z4O9R04XKMDqvcHExCWJNcXSZIkSQBY1KiBoXXxB5Fb1nNhX7thZBqZM7dvY6xMDbkdn87Ra7FUK2fOgFY1mb7xAlZmBsQkZaEIOcCeB0JRo0benDvnhYuL2CK/ZQscPChC0ZIlRaFoyxaxKLpdOxF4igtFW7fC22+LKbBjxx4vFAGYmop1SJmZYtru/kjU6xiK4A0PRgDu1coyrWdDYpKzqGxrxoYzoWTlqvi4jRNp2fno6iiY+Kcfndwq0bxWOQIjU/B0tS+2Cuh9OQkJ5P7LcKokSZL0ejEuX55GS5eTa2D80HXbZs3Z12ooiWo95vZtTDkLYyITM/Hy8aO8hRGD29VixqYLWJroE5ucDcH72ftnUShq2NCbCxe8qFsXgoNFBevt22HFCvj556LjPH7/XSywfv99EX7u1xV60MqV8MEHYkRp9+7ig9O/SU0Vu91WrYJffhGjVMrXOD28xo/2+Dxq2DL1AzeiEzOpXNYM35M30Wq19HmrOkkZeZgY6jLF9xxdGzriUtmaWZv9CYpOKbat/PR0jn76KYcGDHhkAZ4kSZL0+tFqtSwLSON466FgIE6et+/Yif1N+xOVocK7rwcONqbEJmfh5XMWSxMDhnk6M2vTRcyM9IlLzUF7Yx/7fJYWttmggTcBAV44O0NoqJga8/UVIWjNGvjkE/G9JUtE7aChQ8XU1j+3ymu1Yg3S55/D6NFFRR8f1+3bYj3S+fNiqm7o0Gd7V6XBG1H5+nGdCY5j9mZ/HGxMCb+bweC2YtRoy9kw7K1NSEjLYdL7Ddh05jYRCRnM79+UauWLqvxmZ2Sx7qP+GEUEA/IIEenNIStfS2+6Q4HRJKTncnjDLjobJOHv1oXAyFS8+3pQx8GK+NRsxq05i76ukjFd6jFrsz9GejokZOSiur6Xg77LCtuqX9+bK1e8qFlT7BrbsUNUmN65U+ww69lTBJ7Zs2HaNFGxev78R3eeqdUwfLgYXZo7V0y7Pcl2+tOnRQXtMmXEKJOT03N6Wa84OWL0gGZO5Zn8XgMiEzJxLGvK6iPBWJsa8I67IzFJWdhZmzBncwAjOtalvIUxk9f6EZ2UCYBGpWL/qDGFoQggJz6eQ/37kxAQUFKPJEmSJL0EWi2sORaMY8sWBDXpwaXwFMZ3c6V6+TIkpucy0ccPHaWCL7rUY86WAAzvhaKCoIdDkYuLCEXVq4ut+Dt3imM6du0S02T3Q9GECSIUOTqCnd2jgSc3V0yvrVoljuqYOPHJQpGvr9jC7+wMfn5vTigCGYwe8VbtCkx6IBz9fOgGDtYmeNa3J/xuBt0aOVKtvDlz+nhgbqSPl48fd9NyuLJ8OTnnzzzSXn56OkeGDiXm+PESeBpJkiTpechNTibu7NliP9vqF8bCnZfxdLXHxFCP0zfiGdGxDn8cC+a7nZfx8jmLSq3hy671mLstAF0dBUmZuRRc28OhtUWhqF49b4KCvKhWTRy7sXMneHvDkSPw119icbVaLYo5LlwItWtDYiI0afJwf1JTxSLrvXvFmqSPP37850xJEVNv/fpB795w4AD8y7ry15YMRsVo6VwBr3vhqFJZU37cH0TNiha0qlOR7efCORsSj4WJAd59G6OjVODl40e5Hj3R2lcptj11bi4nRo3i9o4dL/lJJEmSpGeVFRvLwf79Ofb558SfP194XavV8sexYH46EETPplUxNtBj/6UohrSrxfrTt8jOVxEal05Wnopx3VxZsOMyCiA1K5/cq3s4tK7ojI66db25ccMLR0dRkXrnTjEidL8qtaenOJesXz/49Vexsyw0VASfB4NRbKw4xPXKFTh8WBR4fFz3t+/PmAHffitGmgwMnsMLLGVkMPoXretUZEKP+kQlZFLJxpSle67i6mhNk5rlmL3Zn4uhCdiYGzK3XxNy8lVM33eLuj8sJ7FC8euJtGo1Ib6+aFSPHkwrSZIkvZpSb93iQN++ZISHo8nPZ/9nnxN4+gIarZbl+66x9uQtBrethaG+Llv9wujTojrb/MIAMDPSJyO3gPHdXVm0KxC1RktadgHZV3Zz5IFQ5OzsTUiIF/b2YrRnxw4xVXb5stia36oV5OSIHWVbtkD79nDhgijy2L59UV+Dg8VC6ZQUUeixadN/Ps2/O3VK1DdSq0W7kya9Hsd7PA0ZjP5D23p2jOvuSmRiJg42pizefYUmNcrSoIo1MzZeIDAiiQqWxnj3bUxSRi6//R1N59W/EF/F9ZG2FOUq0nrFCpS6b2xNTUmSpFIlwd+fQ/37k3P3buE13bwcQiZ9RfClGxy4HM0XXeqhr6vkz+MhdGvkyB7/SAz1dTA30hdri3rUZ8meq+QXqMnMLSArcBdH1xeFolq1vAkN9aJCBXFA67ZtYvfYzZtiCq1pU8jIEKfZHzkituQfOCC2zb/3XlFfz50T1ahNTEQ1a2fnx3/OkydFtWyFAg4dgl69nsfbK71kMPo/2rvYM7abC1GJmdhbm/D9riu0qlOR2g6WfL3uPEHRKVS2NWNOHw8iEjL55cRtPvp9JbF13ipsI9vIHINxs/61AJgkvS569epFt27dWLduXUl3RZKeSfSRIxwZOpT89PRHPstPSiJuxff8PrI1OkoFKw8E0a6eHYcDY7AyNaCMsT7RSVlMfLc+P+67Rk6+iqw8FZmXdnFsw4+F7Tg5eRMW5oWtragovWmT2FYfGysKMDZsCElJomijvz8MHgzr14v1RYMHF/Vn3z4RbJycRMhxcHj859y1S9yr1Yqq2G3aPMNLe03I7fqPaV9AJN/vuoK9tQmxydmM6+7CHv8owuLTmde/CZVsTPntyA12+0fSsGpZRnWuw+ox31D24mEqzP6Bt7u2KOlHkKQXRm7Xl14ntzZv5vyMGWg1mmI/t6xVi9YrV3I+QYX3Vn86NqjElYgkTAz1MNTT4XpMKpPebcDqIzdIy8ont0BF2qW/OLFxRWEbNWt6ExHhhY2N+HdfX1GbKCtLrA2qVUsc0OrpKRZi798vpsquX4eZM4v64uMj6hh17AgbNoCxMY/txx9h5EgxUnTggAhgL8qff0L/UnLEqBwxekwdG1Tiiy71iE7KoqKVMd/tDKRrQ0ccbEyZ5OvH/ktRbD8XTt1Klpy7dZdVh4MZ8eMcbn/uzU9B2WTmPnyGjkpd/B84SZIkqWRlx8f/ayiybdSIdr//ztU0LfO2BdC6TkVGda7LtJ4NMTfSIyg6hYndXfnjWDApWXnkqtSkBTwciqpX9yYy0gsrK3HAq4+P2DmWnw8nTohQFB4OLVqI9UInToCbm9gl9mAoWrhQhI0BA8QU3OOGIrUaxoyBESPESJGPz4sLRTk5IvANGPBi2n8RZDB6Ap3dKjGyUx2ik7Iob2HEwh2XeK9xFWzNjfA9eZPBbZ24FJZMzQplOHo1hlWHbzB1SDvm9muMqWFROdJdFyMY98ff5OYXLcQuyMoqiUeSJEmS/qHe8OFkebR95Lp9+/a0+eknglMKmLXpIu7VbRnbzRWtVsua4zfxv53IuG6u+J68RUJ6DgUqDSkXd3BiU1EoqlrVm5gYL8qUETu+fvtNhBtdXRGAqlWDGzfgrXurMU6dEtvyH6TRiKKO48eLRdK//irufxwZGeIA2GXLoEMHmDVLBK4X4dYtsRjcx0fUUyotZDB6Qu+4V2Z4xzrEJGdja2HEgh2X6dW8GuZG+mw/H87wjnW4eSeNymXN2HUxEp/jN6lZ0eKhNpwqWhCekMGszf6o1BrCdu5kV9eupNy4UUJPJUmSJN23NyCSLZU9ibSvU3it+kcf8daiRdxOzmXauvPUtrdkyvsNUCoVfLczkNM34hj7jgub/r5NXGoWKo2WpIs7OLV5ZWEbVap4ExfnhZmZOJj1l1+gTx9xbtnx41CpklhL1KIFWFiI9UKVKz/ct4ICGDgQFi2CxYvFtvrH3T0WGSkC18mTYm3RgQMwZcpzeGHF2LpVrJHKyoKzZx9eE/Wqk8HoKXRvVJnPPJ2JTc7GxtyQBTsvM6BVDQz1dNl0JpQxXesRnSym3DacCWXD6VsP3V+jQhmm9XTnUlgic2ev4uzUqeTcvcuhgQOJP3euhJ5KkiRJuhiawLK917AwM6Te9NmkVaxOtU+G0ejrr4lKzmayrx8ONqZ886E7ejpKlu65ytGrMYzpUo8dFyKITspCo4XE89s5/UAoqlzZm/h4L4yMwNISli8XIzXlyomF1hUritGhNm2gShURlCpUeLhvmZliS/2GDeJokNGjH/+5zp0TtY/S08WutY4dxfXnvSU/Px+++krsnvP0FGUFXB/dqP1Kk8HoKb3XuAqftK/NnZRsrE0NWbAzkEFtnUABa0/dYkKP+qRk5mFjZsjqI8H8dSH8ofvdqtowsrY+DluWo1WrASjIzOTop58SuX9/CTyRJEnSmy0kNpWZmy7SsKoNozrXZeWxUML6jqfu58OIT81hkq8f1maGzO7TCCN9HVYeCGKPfyQjO9Vl/+Uowu9moFBAwvntnNnyU2G7jo7eJCR4YWgogtCiRWJLfOXKcPQo2NqKxdWentCggVh8/c9NzImJYh3QqVOiEOOTbKnfvFnUQqpaVRzvUafO/7/naURFQevWYppu8WLYuBHMzUGlEmulSgsZjJ7BB02rMqRdLe6kZmNpos93Oy8ztF0t8lUa1hwLYcr7DTA11MWzvj3L9l7jcGB04b0ZERFkL5qOnvrhRdmaggJOjR1LiNzuLEmS9MJkRkWhys0t/PfopEymrjtPFVuze4V8A2hUrSyz+zUlN1+Nl48f+SoN/VvXxMxQj9VHgtl+Lpxhns4cuxZL6J10lEoF8X7bHgpFlSp5k5TkhZ6eONPM21uEGmdnUTPIykoUbXznHXE22erVYpfZA6WTCA8XNYrCw8VI0oNFHf+LVium2nr2FMUhjxwRIexF2LdPhLroaDFVN3p00WjU1KlitKq0kMHoGX3YrBoft3EiLjUHcyN9vt91hc86OJORU8DqIyHMH9CEr7q68HZ9exbuDOTMjTgADG1sMKleo/hGtVouzJ7N5cWLkdUUJEmSnq/EwED29+7NmQkT0KhUJGXkMnntOcyN9PCoYcuSPVfxdLVnygdu5NwLRanZeWTkFBCXko3viZtsPBPKkLZOnL0Zz42YVHR0FMSd3crfW4tCkYODNykpXujoiOmx6dPF9Jm7uxghKlMG/vhDHPb6/vsiFPXoIY4Byc4WbQQGigXMKpU47d7N7fGeMS9PBKwpU+Cbb0Q5AEPD5/8u1WpxdEnnziL8BARA48ZFn+/eDfPmwaefPv/fflFkHaPnxPfETdYcD8G2jBHZeQWM7lyPZXuvUt7SmLl9G2Oor4v31gDOhsQzs1cj3KracD0igZ0jvsQhLOBf2/Vctw4bF5eX+CSS9ORkHSOptIg5fpxTY8eizskBIK9Je855vEd6joqmTrb8dSGSD5tVY/D/2DvvsKrqP46/7r3sjQxFHDhwbwH3rFyVlubWlpX91JZl4t67tLKszFEOFDXNnQv3AEQEURDEwRBQ9h6Xe39/fBIk0EzNeV7Pw4Pec+73nO95xPvmM96fzrXJztfy5apTRCVmkq/VMaJbffIKCll+IIwh7V0JjU0l+GoiRoYarp/cjO+WpUXXcYD8OgIAACAASURBVHaeQ0aGJzqddJV9/rkUTXfqJIXJpqaweLFEVt5/X1rvu3UTr6KjRyWidOSI1BRVqybz0ipUuLc9JiWJK/apU9L1VqmSzFMzMnq4zzIhAQYPlnTgzJkwdiyobwu3REVJFKl1axlzon5KQjFPyW0++Qxu78rgdq7cSMvB1MiAxbtDGNmtAdeTs5i03p98bSFjX29CYxc7pm44zYWYFOpWdaDfsh+43KBDmWs2/fJLRRQpKCgoPCQiN2/myEcfFYkiAONT+7E7/AcvNHJm++ko3nuxDsNeqEOeVsfkdf5cuZFBgVbHFz0bg17P8gNh9G9dg/C4NIKvJmJsqCH2RElRVLHiHDIzPSkshIYN4aOPpCW/WzcZ+mpiIkLi44+l7X7xYokanTsnKal69cSXqEsX6ew6fPjeRdHFixKxuXBBBEvlypJ6W7z44T7Lo0dF9ISESE3UuHElhY9WKx13FhYSFXtaRBEowuihMrSDKwPb1uRmei7GBhqW7DnPqG4NuJyQzlTv0+h0eib1bY6rkzWT1vkRGZ9OtQrWDPtpAeGtepVY63LDTtR9663HtBMFBQWFZwe9Xs+5H3/Ed9KkomaX26kXtJf2OVeY0rc5fVvVoKBQx/S/foFFr2fCG80oKNSxZM8FXvdwITopkzORNzE2NCDmxGb8/igWRU5Oc8jK8qSgQITDsGGS0urdW0Z+GBnJgNhJk8RDaO5cMXc8eFBEk7s7LF0Kb7whfkO7dkkB871w8GBxZMjPTzrdeveW+qR/08F2N3Q6mD9fIl+1aknqrGPH0ufNnCkpQS8vqaN6mlCE0UNEpVLxVsda9Gtdg8SMXAw0Kn7eF8qo7g0IjUlhxqYA1CqY3t+NCjZmjFvrS0xSJk625nz67RTCu7yFTqUmtkYzLrToSVJG7j9fVEFBQUHhjui0WvynT+fc99/f8ZyKHTrg0rkjretUoFCnZ87mQM5cTkStUjFtgDv5BYV8t/McLzevQmJGLr7hCZgaGRB9fFMJUVShwhxycjzJz5d6m4EDJU02ZIjU+KjV8OGHkjb79lup//nkE+ne8vKS4uvp02H4cBgxQqbcGxvf2z6XL5cIk7u7tOPb20sazspKutIMDf95jX8iOVnE2tix8rV/f2lLAZBo0owZUtvUps2DX/dRowijh4xKpeLdzrV5o1V1kjLyUKlg+YEwRnVvwNkrSczdHIixoYb3XqxLRk4+o389yY20HGzMjRkz9zMuDRrDUfe+FOpUTPDyI+tvo0QUFBQUFO6dvJQUYg8fvuPxGn360P677zAwNUWn1/PtzmBOXkzAw9WRuUNakJNfyFfbgnipsTNZuQUcD4vHzMSQa8c34b/1l6J1ypefQ16eJzk5IgZ69ZKRG8OHS1G1TifptGXLpO7n44/Fl+j4cfjpJym6HjFCxMSsWfDdd/eWftLpJAL13nvytXOniKEhQ6SLbdu20q3/94O/vxR+nzgh15g1685u27/+Ks/gvzKP/K9Riq//I/R6PUv3hbLZ9wq25sZoNCqGtHNl8e4Q2tV14uOXGzJtgz9BV5MpZ2HMkvfbYWthTL62EO/jkbSoVZ5xa3ypXt6SWYM8MDLQlFhfV1iIWqO5w9UVFB4tSvG1wpNMang42wcMRpOXXeL1BiNG0HDECFQqFXq9np/3hbLF9wpjejXmxUaVpFlmYwDt6lZAo1bjcy4WS1NDrhzdRMC2YlHk6DgHrdaTzEzxGurQATw9ZR7ZwoWQmys1RHv2SBSoT5/ie8jPF3EzeLCk0pYulfTbvZCVJQJo61a5ziefSIv8+PGSotu+HV5++cGenV4vw2ZHj4YmTSS6VbXq3d+j04mRpI3N3c97UlEiRv8RKpWKD16qy2seLqRk5aEt1OF17BIjutbjyIU4ftxznhkDPXCr4UByZh4fLT9GRk4BRgYahnaoRS0na6YPcONibCpzNwdSqCvWrwVZWewbPJjLW7Y8xh0qKCgoPB2k2jhxsvM7FKrll0m9SoX71Kk0GjkS1V9mO2uORLDF9woju9XnxUaVCIi8ycxNZ2jh6oiRgaZIFF0+urGEKHJwEFGUkQFdu0oKzdNTipEXLpSo0MsvS4Hy9u0lRRHIkNVu3aSWaMuWexdF169D+/awb58Io08/FVG0bp14Jc2f/+CiKCNDCqhHjZLI19Gj/yyKQCJdT6soAtBMnTp16uO+iWcVlUqFWw0H0rLzCb6WjIFGTXhcGkM7uLLheCQZOfmM6dWEqzcyuHg9jSMXrtOtaWUMNaJXHa1NqVbeijVHLpGSlYdHTUfy8/LZ9f6HpAefJcbHB7WhIQ7NmhX9cCsoPA7y8vKYO3cu48aNw/heiyIUFB4Rx8LiCcrQEGdkS6X4i7T/5huqv1KsGjafuszKgxd5p1Nt+rSqTvC1JKas96dxNTvKWRiz52wM1mZGXD6ykTPblxW9z95+Dnq9J+npYtBYp46kmGbMgGnTxO25a9fibrPOf5tLGxcnHWMXL8rxl166t/0EBspa2dlS59PhtsZmExMZOTJ+/ION+zh3Tu7tzBkZAvvFF/C8JCkUYfQfo1KpcKvpQEpmHiFRyahVKi7fyGBg25qsOxZJbn6hzFZLyuJ8dApHLsTRo1kVNH8llyvZWeBgZcKqQ+Go9HpCZkyh8MypovUTfH3JS07GqW1bVE9TP6TCM8UtYRQUFIS3tzcADRs2fMx3paAgGGrUbPG7SpKFI0Ydu9Krzwuo/1INfwZG8f2f5+nXugZvdqzFhZgUJnj5UbeSLRVtzdh1JhprMyMuHd5A4G2iyM5uDuBJSopEgZydJUK0YIFEjOLiJK0WHS3i5XbTQ4DwcOnsysyUbrLmze9tL9u2SSSoWjVxsnb9m0+wnZ2s+yCi6LffpObJ0VHuvX37+1/raUSpMXpESFHfOf4MjMbS1BBrMyNealSJlQcvMqCNuGd/tTWI/ediqeNsw9dvtcJAUyx01h+7RNA3i2gYeqjM9St17kzr+fMxMDV9RDtSUChGqTFSeNxkx8djVobZT3xqNiOWHiUrT0ub2uXx7N20qGbzD98r/LzvAj2aVWFU9wZcik/ny9WnqOZoSc0KVmz1vyai6NAGAncUi6Jy5eagVnuSlCSdZ5aW8PPPMiNs5Egpen7xRUmT7d8vBo+34+8vTtEODhIpqlLln/en14vwGjNGxnusWgXm5g/yxEqTkyOeS8uXw7vvyn6ex48UJcTwiFCrVHzyckO6NK5EZk4BqVl5+ITEMqS9K+uPR7Lu2CXGvNaENzu4EhGXxsLtwehu06z9WlfHtdKdWwtifHw4MGwYucnJj2I7CgoKCk8Eer2ekJ9/ZnuPHtw8c6bEsdSsPD5adoysPC1dmlRiYt/mRaJow4lL/Lj3AtXKWzGyewOu3shg3FpfKtuZU7uiDVv9r2FjZkTEIe8SosjGZg4ajYiiN9+UzqylS6XbbORISYu1aydC5tgxEUVXr4rbNcDevRLRqVlTanbuRRQVFEib/xdfSAfaxo0PXxRFRIgHkpeXdM0tX/58iiJQhNEjRa1S8ekrjXihkTNZuVoS03M5HhZP/9Y1+O1QOL+fuszg9rUY+1oTDobE8sPukKJZaWq1mj6zJ+Ln0QfdHWKkSUFBnJ49+1FuSUFBQeGxodNq8Z82jeDvvqMwL499H44gLCAEgKzcAob/fIT0nAJe93Bh9CuNitJnG45HsvzARaxMDZk3pAUxSVl4rvXF0cqURlXt2Ox7BWszIy4e8ubsjuVF17O2noOhoSc3b4ppY26u+BOtXi1F02fPiiiythbRU62aDIN96SVJr/32m6TBOnaUYux7aaNPSYHu3aXlf8UK6TZ72FUTmzZJKi83F3x9xXDyXkhIkG61rKyHez+PG0UYPWI0ahWjX21MpwYVyc7TkpCWw+nIG7zeohpL94Wy/fRVOtSvyCcvN2RHQBQrfS4WvdfazIjP5o/hWPu30GpKG0iYOFWkuafno9yOgoKCwmOhICuLIx9/zKWNG4tfzMog8POPybxxg/d+PExqVj4D29bkw671ixpU1h27xHKfMKzNjFg5qiMZOQV4rjmFtZkRbjUd2HjyMjZmRoQf9Cbob6LI2FhE0fDhYnb4++/g7S2t9idOiOCpWlVGeFSsKC3r3bpJHVG/fiI4hgyR7jMzs3/eY2SkzBk7c0a6z9555+E+w/x86Wbr21fEl7+/jDC5F3Q6mf3m5aUII4WHgEat4otejelQvyK5+Vqup2QTEpXEq82r8v3u8+w5G023plUY/lJdvE9E4n38UtF7qzpYMmnm//B58UNyjYp/snKNzKgweS6m9vaPY0sKCgoKj4ycxEQOvPMO18swbtTfTGDTkGGkp2czpL0rb3eqXXRs9eFwfj0okaLlIzqQnVfI2DW+mBga0Lp2BbyPR2JjZkTYQW+CdhaLIisrEUU3bki6LCqquL2+Tx8RLS+9JD4/tyJBubniPB0ZKeJo1iyJGq1YcW8u1MeOScF2YaEMg/372I3AQLnu/RIVJUXVS5bIHLX16+999AjAN9+IL9OqVVKk/SxxB99Khf8ajVrNl681plCn50RYHNGJWWjUKro2qcyi7cEYatT0blmdrDwtK3wuYmZswKtuLgA4l7Ng1oShjDE2p8OBX7DMz8TRcwat2jV7vJtSUFBQ+I9Jv3KFgx9+SFZMTJnH9So1Z5waM6aPGx0bVCx6ffmBUDacuIyVqSHLRnQkX6vjy9WnUKugY30n1h69JKLIx5vgXcWiyNJyDiYmIoo+/RSCgkSo7NghYmjLFhgwQP68caPU5Wi1UpR96pTUE/36KyxaJO+/F9askdRcq1YSlfp7yu3GDekac3KSzrd/m1rbvVsiV5aWIsA8PP7d+8+cEZH3+ecyhuRZQxFGjxGNWo3n602Ys1nPyYvxXLmRiUatplODiizYGoShgZoh7V3JytPy/e7zBETe5JOXG2FrYYyznQVzRr/OaEMTLJNi6V29tuJlpKCg8MwTvX//HUURRkb4tBjEq+++UUIURcSlsvHEZSxNDPl5eHv0ej1jV5+ioFBH9yaVWX0kAhszI0J91nNu14qi91lYzMHUVETR55+L0AkKkk6y9u0lWvLuuzLwddUqGd6q10uh9LZtMkLjwAFJNw0c+M970+lkJMjMmZJ2+/lnWfN2CgokLZebK0Ls34girVbWnz1bap1Wrfr3A14zM2UvDRvKOs8iSirtMWOgUTOud1Na1CqPtlBHRFwaiRm5tK5TnrmbA/G7dIPhL9WlfT0nTobfYMQvR7mRlgNIWm328C7crFibXWei0Rbq7notve7uxxUUFBSedOq99x6O3UpbOqusrNnZ4QPa9HuV1zyqFb2elp3P/D+CZPTSB+0wMFDjucaXrDwtPZqKKLIuQxSZm8/B3FxE0dixcOQIhIRI+qp9e/jhB6mxeecdKcC+JWAOH5aOLhcXCAuTuWL3IopycuS8mTPFuXrFitKiCESgHT8ukaTKle/9ucXHS1Rr7lxZf9u2+5t6/+mnEBMjYq+s+3sWUITRE4CBRs34Ps1wr+FAoU5PaEwqWbkFuNV0YMbGMwReScLz9aa4/zU+ZNSyo0QnZgJQ29mGWYM8iEnK4uttQSVa/G/nyo4d+AwbRn5a2qPcmoKCgsJDRaVSkfrae1wvX+xsaFixEls6fEizzq1557aaoqzcAiZ4+ZGWnc+8oS0xNzZgwlo/kjPzeKV5VVYd/itSdKC0KLKw8CQhQRyk9+yBy5fFULFFC4mUjBolHVlLl5Z0hK5eXbrRMjLg0KF7c7NOSJCU2/bt0iHm6Vm2QePKlVIPtHgxtG1778/s0CFo2lSEmo+PrH8/nW2bNonoW7wYatf+5/OfVhRh9IRgqFEz4Y1mNK9uL74cUSkUFOpoWLUcU739uRCTwpT+bjSuakd6dgGfrDhOZLyInCbV7BnTqzEHQ67zy/7QUmv77zzAqQkTSPDzY++QIWTGxj7q7SkoKCg8FHLytewIisVm9CQMq1bHpHY9NrR5nzpN6vLpKw2LSgpyCwqZ7H2a68lZzBnsgb2VCRPX+XM9JYvXPFxYdTgcGzMjzh9YT8juYlFkZiaRooQEmDRJBrvGxRWLC09PmRo/bRp89VVJARMSInVBIFGde3GzDgkRsXXtmkSl/j5L7Ra+vpKie/996Yq7F3Q6iQ698IL4KQUGlhwf8m9p3lz2/bC74540FOfrJ4x8bSHTNgQQdCURPdCsmj25Wh0RcanMHdICF0crPNec4mJsKkYGGmYP9qB+ZYmHbvW/ypI/z/Pei3Xo26oGADcuhLJr0BCMCnKLrmFiZ0eHJUuwa9DgcWxR4Slgzpw5bN68mbCwMExNTWndujXz5s2j9h1+TVScrxUeJZk5+ewKjGbtTn80pmZUcbZj7pCWmBhK6KagUMdU79OERCUzZ0gLapS3YtJ6fyKup9G3dXVWHQrHysyICwfWcX73yqJ1TU3nYGkp6bMpUyRdlJ0tdUI1a0pH2s8/S0fWJ5+UvKdjx2RemouLFDeXYcJdij//lHqh6tUlWnSn1FhqKtSvL2v7+MC9jCO8ZUC5a1exkHteZp09KErE6AnDyEDDlH7NaehiByoVAVcSMTPWUM3RiglefsQkZjJrkAfVyltRUKhj7BpfAi7fBKCXuwsD29Zk2f4w9gfHkB0fz7GRI0uIIoDcpCT2v/02MT4+j2OLCk8Bhw8fZuTIkZw6dYp9+/ah1Wrp0qULWc+aYYnCE0lOYiLanJwyj+n0elYfiWD5gTA01rbY2VkzfYB7kSgq1OmZt+UsQVeTmNLPjZoVrJi+MYCw2FTeuE0Und9fUhSZmBSLomnTxIyxoECiONWri8j45RdJJf1dFG3bJimzpk0lsnQvouj776UAukMHMYO8W72QtTVMnSqprHsRRX5+Uvh96pTUOM2cqYiif4MSMXpCySsoZPJ6f85Hp1Co09OqliM303OJT81mwZutKGdhzOjfTnIjNZvxvZvSsrb8JOr1er7ZcY59wTGMb2XPjRme5N5IKPsiKhXNx42j9uDBj3BnCk8jN2/exNHRkcOHD9O+jImSSsRI4WGRFhnJof/9D9s6dWi7aBHq2z7R87WFLNgaxNELcZSzNEGlgkVvt8bR2pTkzFzmbTmLuYkhJy8mMKlvMzxqOjLr9zP4X7rJgLY1WHskAktTI0L2ryP0z2JRZGw8B2trEUUzZ8KPP0rbvY+PzDPr10+iO2vXihni7SxbJqmt3r2lzf6fhItWC599JsLos89k6OzDEi16vaz7+ecijLy9xXBS4d+hRIyeUIwNNUwb4E7dSjYYaFScDE+ggo0Z9pYmeK7xJT0nn3lDWlDO0oSf94eSnClRIZVKxccvN8C9hgPz/ZI5N3AsKeWcy76IXk/A7NmkhJauS1JQuJ20v4r2y91PG4uCwj2S4OvL3iFDyIqNJebAAdZ/NqHo2K1C6hNh8VS2tyCvoJDZgzxwtDYlPiWbz1aeICw2leNh8XzRsxEtXMsz/4+z+EXcoH+b6ngdicDS1PAfRdHixRKhOXIEbG0lqrNvH2zdWlIUxcdLuu399+F//xODxH8SRenpYvr444/ytXDhwxNF6enQvz98/DGMGCH3r4ii+0OJGD3h5OZrmbDOn/DYVAp0OtrXc+JyQgY5eVq+fkuq/Eb/dgIrUyPmv9kSK1Ppn8wtKGTcGl+ikzKpYqGh4u9LqHg9rNT6jUePpv6wYY90TwpPF3q9nl69epGSksLRo0fLPEeJGCk8KFe2bcN30iR0Wm2J1xuM+RLnPv2Z4OXHjbRsqpe3Jvx6KnOGtKB+5XJFw1/ztYVk5moZ1b0+LzevysJtwRw4F8uANjXYcCISM2NDzu9fR+ieYlFkZCSiKDFRRNHChVCpkgghjQZ69IALF8TM8fZAaVIS1KolY0FmzJAann+ykbt2DV55BaKjxX/oXrrV7pXgYPFSio+XNv833nh4az+PKBGjJxwTIwNmDnTHtaI1hho1R87HUbOCFUYGar5ccwq1WsWcwS1Iyshl0jp/svPkPxUTQw3TBrhha27MjTzIGvYlF2u0KLF2TP221H3W2wsUHphRo0YRHBzMunXrHvetKDyD6PV6zi1Zwslx40qJIoCQrxaQ6ncSe0tjmld35Hx0CuP7NKN+5XKExabwxaqTAGTmanm3c21eaV6V73eHsD84hn6tq7PxZCRmxgYSKSpDFCUlibiZP19qiXx8ZAxHx45w6ZL8/XZRlJoKdeqIKJo2DSZO/GdR5OsrnWdZWTJT7WGKopUrZW1TUwgIeHii6A4lXs8FijB6CjA1MmDmQA9q/CWIDoVcp24lW/R68Fzji4WJIbMHtyDqZiZTN5wmX1sIgJWpEbMHi9f79dRcHP/3Gacb9wDAvHkL+n47F/XDHtOs8Ezx0UcfsW3bNg4ePEilSpX+8XxXV1cqVKhA8+bN6dmzJz179lQElcIdKczPx3fiRM798MMdz3Fo0gTnZk2o7WzLkdA4Pn2lIS1rlefM5UTGrvbF0sSQ5Mw8+rWuQb/WNfh5Xyg7A6Lo27o6m32vYGokoijsNlFkaCiiKCVFxM3cudCgAezfL/5D7dpBYqKko9zciu8lKQlcXeXY3LkwefI/73HjRhFZNWqIQKpX7wEe2G1kZ0vb/LvvyhDbU6fk3h4GOTmy7+++ezjr3VrzaUH5VHxKMDM2YNZAD1wcrTAy0HDgXCxNXOzIKyjEc40vDlYmTB/oTmhMCrM2nUFbqCM2OQsbc2NmD/IgKTOPyzcyaTnqQw60f4fQ7u/h7KCkPBTKRq/XM2rUKDZv3oyPjw/VqlX75zcBERERxMfHExAQwLZt29i2bRsD78X2V+G5JD89nfhTp+54vEq3bnRevpz9l9NZcySCdzrVpmuTylyISWHyen8qljMjLiWbl5tX4Z1OtVh58CJbfK/Qp2U1tvpdxcRQ85co+rVozVuiKDVVhM3s2TIr7M8/xa+oXTuJGB07VlLExMWJqeEtUTR27N33ptfL4Nh+/aQw+8ABKeT+p/d8+61Epe5GeDi0bCnF1b/+KgXgpqZ3f8+/Ydw4GX774osPZ70DB2SEyNOCIoyeIsxNDJk92IOqDhYYG6rZGxSDWw170nPyGb/WDxcHSyb3bc7pyJvM/+MsX646yVTv0zjamDF9gDsR11MJjUlh6KhBJOSCtvDu5WV3apdVePYZOXIka9aswcvLC0tLS+Lj44mPjydH+Teh8BAxtbenw5IlFBqZlDpWb9gw2ixYwMnLyXy/K4TXPFzo30b82VydrOncoCLXbmbSqUFFRnVvwPrjkXgfj+Q1Dxd2BURhZKDh3L6SosjAQERRerrUBc2aJdGcHTskbdaunQxWPXpU0mq3iIgQkZSUJLVI/ySK8vJk1tnEiRKRWrMGTEpvsRTffScjNw4evPM5GzaI0WJ+vkSg3nrrn9f9N/j4iDibO/fBo1tJSfIcXnwRnO/QA/Qkogijp4xbabPKdhaYGGr482wMrWuV50Z6DhO8/KhX2ZaxrzflaGgcNSpYc+5aEuPX+lLF3oIJbzTjVPgNzl5J5Ku3WmJmfOcZwgVZWewdNIizCxcqM9aeQ3788UfS0tLo2LEjTk5ORV/e3t6P+9YUnjEy7Jzx7/gm+r8KdVQaDe5TptBk9GjORacwd8tZ2tdzYniXekWu1qExKRw8fx2Pmo583rMxm09d4bdD4bzSvAp7z0ZjYKAmZL8XF/f+WnSdW6IoM1Pcq2fNgu7dYcsWcYTu2BGqVJFZZ7d/iJ8+LUIkNVUE0YQJ3JXERKkh8vYWg8jJk/+5BgnE/+jzz2HMGHj99dLH8/Ol46x/f+mU8/d/+FGYtDQRMh07yrXuF71erA3q1JFuvl9+ubvYe9JQutKeUtJz8vFc7Utscha5BYX0aFaFw+ev4+JoyexBHhy+EMfC7cG80NAZv0s3cLAyZfYgD/wjb/D1tmAGt3PlzY61yly7ID+fre98QP5ZfwAqv/QSrebMweBhxmoVnimUrjSF+2Wz7xV2n4limMFlrvz0Ax2+WUTFdu24nJDOF7+dpFZFG6YPcMPIQPraw6+nMna1L7WcrZkxwJ0/A6P54c/zdG1SieNh8YCK8/u8uLjvt6JraDRzsLHxJCdHvIPmzpXW+1WrRAj16iU1Ndu3w+3/fPftE5FSq5a02U+ZcneRExYmnWfp6TJKpHXre3sGMTHiO9SokaT0DP72O+u1a5KSCwyERYukHf9exNa/5e23RSgGB99/q//Vq2JfcMvV+9tv783w8klCiRg9pViZGjF3SAucbM0wMdSw60wUHetX5HJCOlM2nKZj/YoM71KPA+dieaGhM2nZeYz+7QSNqtrxbufarD0awfbTV8tc+/fPJxWJIoDoffs48M475Ny8+Yh2p6Cg8LzwuocLswe5s8moDn+8PAbTph7Ep2QzwcsPJ1szJvdtXiSKrt7IYLyXH1UdLJjazw2fc7H88Od5XmjozMmLCdxJFFlbe5KbK1GQ2bNh6FBJb+3cWew+vXt3SVG0bl1JZ+qpU+8uRnx8ZE6asbGkuO5VFOXni0gzMZFr/l0U7dwpjtoJCTJ/beTI/0YUbdkibt/ffXd/okirha+/ltEl58+LyPT2fvpEESjC6KnGykzEUQUbM0yNNOw8E8ULDZ0JjU5h5qYAXnWrytD2rvzhd5UeTaug18PoX0/QwtWR1zxc+GH3eY5eiCux5sU1a9D57Ch1raRz59gzcCCpERGPansKCgrPAIX5+dwMDLzj8RtpOYz38ufqzQwmv/8SKhWM9/LD2FDDzIEeRSn/uJRsxq31xcHKlBkDPTh5MYFvdpyjQ30nTkfeoFCnJ+RvokitFlFUUCADWOfOle/Ll0ua6403JFr0xx9gZlZ8T99+C4MGwcCBcszc/O57XLYMunaVIu4TJ+AeexUAGD0azpyRcR+3F2drtTB+vESg2rSRGUALggAAIABJREFUc9zd733df0NBgdQ2vfaajD75twQGSjH4mDHw3nsijF555eHf56NCEUZPOTbmxswb2gJ7SxNMDDXsCIjipcaVCLySxJzNgQxoW4PeLaqx+kgEr3u4YGVqxB9+VxnepR4d6ldk3h9nOXs1sWg9Q0tLVH//leUvsuPi2Dt4MNePHXtU21NQUHiKyU1JwWfYMA68+y43z54tdfxSXBqfrjxBnraQRW+3pnp5qyI/til9m+N36QYAiem5jF1zCjMjA2YP8uDs1UQWbA2iVZ3yBF9NQluo5/z+dYSXIYoKC6Wt/euvJY32ww/w008iAN5+W6I0RuKLi14vHVmffgpffikdX4aGd95fYaGIgfffl6+dO8U1+17x9pb7WbxYRNUt4uKkYHn+fBFzW7fCf2k6b2gIe/bIgNx/E43KypL9u7tL5OvUKRGVlpb/3b0+ChRh9AxgY27M/DdbYm9pjOlf4qhL40qcCk9gwdZghr1Qh25NKvPT3lD6tqrOiG71UatUfNGrMQ2rlmPahgAi42Xkg6Z1Z3a3fw+dmUWZ19JmZXHhl19QStMUFBTuRtrly+wdOJCbZ86gy89n53vDiQwJLzp+OvImX6w6iZ2lCd+805oKtmbM2BhATFIW43o34dtd51jy53ki4lIZt9YXnU7PnCEtCI9LZe7mQNxrOnAxJpW8Al2ZosjKyhOQyM9330n05euvRWiMHCki6ZdfikdyFBSIJ9DcueKAPW/e3UVCVhb06SPnfvONCJw7/E55Rzp1knt6//3i1w4dktRZeLik58aOhUdhN1enDjg63vv5e/dK8ffixWKQGRBQUtw9zSjF188QSRm5jPntJMlZeeTkF/JysyrsDozixUaV+Pjlhsz/4ywnLyYwbYAbzatLzDY7T8uXq0+RlJHLwrdb42Rrxp6z0Sxf50OPE79hlPy3AbR2jvTesgkTO7vHsEOFJxWl+FrhduJOnODY6NEUZGSUeN3QuQq9Nnlz6Eoai7afw62GPeP7NMPYUMOCP85yNDSeMb0as/ZoBCmZeUx4oxm/7AslMSOXr99qxY20XCav96dR1XJcu5lBdl4h5w+sI+I2UaRSSaTIwEBSQ8uWFY/tGDdOBM/UqSW7xbKzpVB4zx6JEv3TXO3YWHj1VWnjX79eapEeFJ1ORNmkSdIV5uUF5cs/+LoPm5s3Jf23Zg107izRt4dlLPmkoESMniHsLE2Y/2YrbMyNMDWSguxuTaqwLyiGn/acZ0yvxjStbs+0DQGcj04GxDhy5kB3TIw0jPfyJTUrj65NKjPm/e7sfHEk6c7F/+ILDIzY3/Ytso3/IeGuoKDw3BLu5cWhDz8sJYoACmKj8J00iQKtjq5NKjG1vxumRgb8sj+UgyHXGfZCHZb7hJGVp2X24BasOhROfGo2cwa3ICUzj6ne/tSrbEN0UiZZeVrO7y8tiqysPDEyklb8Zcvgq68kWjRypIiiRYtKdpclJcELL0ikpkOHkgXYZXHmjERGEhOlGPphiKKkJBFaEyeKgNu798kTRXq9dPHVrSspw5UrxSn8WRNFoAijZw57KxMWvNkKazMjTIw07A6MomuTyuwIiGLlwYtM6N2U2hWtmbTOn0txkj4Td+wW5OQVMvGv/L57TUdmf/AiR7t8SGwtD1CrcRg9iRyHSkz1DiCvoPAx71RBQeFJQq/Xc3r2bE7PmoW+sOz/H8ydnWn00Ue83Lwqn7zcEI1azcaTkWw+dYU3WlVn/fFLGGnULBjakl8PXiQyPp2ZAz3I1xYyab0/NStYk5CaQ0ZOARf2rydif0lRZGnpiZmZRDJWr5b01scfSz3Rzz9L0fWnnxbfT1SUmDpeuiRC6uBBEQB3YutWOd/ZWTrPGjV68Ofm6yut+r6+sGsXTJ9enN57UoiMhC5dxEyySxcIDZX6rP+iO+5JQBFGzyAOVqYseLMVlqaGmBhp2BMUTZfGldh86grexyOZ2t8N53LmjPfyIyoxEwAnWzNmDnQnNjmLGZsCKCjU4epkzaL3O3Cpy9v4dPuIiu3bM32AO1dvpLNgaxA6JQuroKDwFyqV6q4pdvsmTeji5YV1zZpF5+8LimHZ/jA6N6zIzjNROFqbMv/NlqzwCSPoahJT+7thqFEzwcuPKvYWpGTlkZqVX0oUwRwsLDyxsioelbF8udQM9e0rbtHr18vfb3H+vLTU5+SIcNq0SdJCPXuWvne9XiJPr78OPXpIdMnJ6cGel14vtU+3hFZgIHTr9mBrPmwKCqQAvGFDSRvu2vXkpvgeJoowekZxtBZxZGFiiImhhv3BsbzYyBmvY5fY5n+NWYM8sDYzYtxaXxJSswE4EhpHbSdrgq8l8fU2ET6O1qYsfKc1jk0acyM9B1cna758rQlHQ+NYfSi81HWTz59/1FtVUFB4Qqj/wQeoW3Qs9brLK6/wwooVmNrbF73mF3GDhduD6dakMh3rVaR+ZVvmDG7BSp+LHA9LYHyfptiaGzNurS+O1qZk5RWQnJlH6IHSosjS0hNbW2jcGLZtE9flfv2kZXzPHon09O1b/I7jx6FtW7Czg08+kQLqqVNLFkHfoqAAPvhAuq88PUV03d7afz+kp4uD9SefwKhRIrQqV36wNe8VvR4uXvzn806flm6zcePEsDEkRKJqzwOKMHqGqWBjxoI3W2FubICxoZqDIdfp1KAivx68yP7gGOYOaYGhRo3nWl+SM3OpUd6Kc1HJVHWw5FDIdZbuC0Wv12NuYsjMQR50aSw/uW3rOjHshTp4HbvEvqCYoutd3rqVP/v1I/Crr9DdIZSuoKDw7JKcmcehZq9zw67YIbDxJ5/Qau5cNMbGRa+FxaYw8/czeLg68vHLDWhRqzzT+7ux5kgEe4Ni+KJnI6rYW+C5xhdbC2O0hTpuppUtiiwsPLGzk66qvXslOtStm4zl8PMTYXT7B/q2bdIK37ixFDp/8YUIosmTS+8nJUXW+u03qamZPfv+OsRyc0WcAQQFyYiRPXskSrVwYbFdwKNgwwaZgRYSUvbxzEwprm7RQlJlvr7SOWdRdqPyM4kijJ5xnGxFHJkZGWBkoObIheu0q1uBn/eFcuJiAnMHtyCvoJBxa/xoWt2e6QPdiU3KoryNGVt8r7Dx5GUA1H9LJvdtVZ2uTSrxzY5gzkUlc3LXQU7+9T9L6MqVHPnoIwoyMx/5fhUUFB4feQWFxGVqCejyHhrnKjSft4D6H3xQNOMMICoxk0nr/KlZwYrxvZui+UtprDlyiS2+VxjVvT71K5dj7GpfzP8yd4xPzSHMp7QoMjf3pHx5cHGR0R5btogZYseOkvrx8YH27YvfsXx5cTps9mypk+nRA5YsKV0vExkpTtZnz8pokLffvv/nMmoUDBgg6biWLcUwMiBA2v0fJYmJ8NFH0Ls3NGhQ+vju3fL6Tz9Jh5y/v4xKed5QhNFzQMVy5ix4sxUmhhqMDDScvJhA69rl+X53CMFRScwZ3ILkzFwmevlT19mWeUNbkpVXgLWZEcsPhLE3KLrUmiqVio96NKReZVu+Wr6Xi5M9UWm1RcevHz7MnoEDybh27VFuVUFB4TGh0+tZ4ROGHmjfsg6/tvkfp61KtiwlpucywcsPWwtjpvV3x9hQqox/P3WZtUcjeLdzbVq4lufLNacw0KgwMlATl5LNRR/vUqLIzMyTihWl3sXXF3bskFqYdu2kpfzIkeIPdb1ehsa+956kxTZskOMNGkjt0d/9h44elYiJTiemhR063P9zWbZMBJmbm6TjhgyBkyfhr1KrR8qnn4qj9uLFJV9PSBCX7x49ZC5cSIjc67/1ZXpWUHyMniOiEzMZs+okufmFaHU6mlV3wP/SDca+1hRnO3O+XH2KWk7WzBjoTnxKNp5rfcnO1ZKnLWRqfzdauJauuEvNyGJDj9ewSL5e5jWNrKxou2gRFVq2/K+3p/AYueVj1L17dwwMDBg4cCADBw583Lel8JDJS00l+LvvaPL55xj+bU7GCp8wNhyPxN3VAb+Im7zRqjrDXqhTFG3OzC3g819PkpVXwKJ3WuNgJUOpdwdG8c2Oc/RvXYNeHi6MWXWKfG0hVqaGRCVmEn5wQ5miqGpVSe+EhkpRcPnykiIzMJA28urV5WydTmp5vv8epk2T9Nmt6FBurswou51Vq0RAtWkDv//+YI7TgYEisCws5Fq3HLcfBzt3Ss3Vb78V34NeL75Nn38uKcJFi0S4PavdZveKIoyeM6JuZvDFqpPkFejQ6fU0qmrHmcuJTHyjGVZmRkxY60vTavZM6tuc5Mw8xq/1JSEtB4D5Q1tSt5JtqTWPr/Lm8oLZaHTaUscAVBoNbhMn4tqv33+6N4XHh2Lw+OyTdukSh0eNIjM6GqdOnWj/7bdo/uor3xcUw1fbgqhib0FMUiYjutXnVTeXovfmFRTiucaXqMQMFr3Thir2UrBy6Px15m4O5BW3qgxuV5MvV/uSlVuAnZUJlxPSiShDFJmaelK9uoyxuHpVpribmEgbub291Bk5O/913bzijrMlS2D48DvvT6eTOqNZs6R77ccfH6z2Jz1doi83b0p06Pffy05fPQrS0mS4a8OGIiJVKkk1Dh8uFgVDh0qt02218c81SirtOaOKgyXzh7bCyECNWqUiJCqJRlXLMfv3M+Tma5nUtzmnI2/y1bYg7K1MWPh2ayb3bY6rkzWT1vsTdbO0aVugQ30OvDicHJOyq/P0Oh2mt09HVFBQeKqIPXSIPYMGkRktafW4gwdZP3YGAOeuJbFoRzBWZoYkpGYztb9bCVFUqNMzY1MAobEp2JgZUclOIk2+EQnM/+MsnRs6M7RDLSZ4+ZOenY+DlekdRZGJiSeurhLpiI6WGiKdTmqKKleWOqNboig9XVJDW7fCxo13F0U5OVIDNGuW1NYsW/Zgoig3V7yJEhLkHk6ffnyiCGSsSFqaeDlptVJf1bChCMu9eyVKpoiiYhRh9Bzi4mjJ/KEtMTJQAyouxqZSt5It0zcGSJfa6005fP46i3eFYGlqiHtNR6b1d8fOwoTxXn7cTM8psd77L9alZpsW7HjpY5JsnUtdz37Ie1Tq1OkR7U5BQeFhodfrubBsGYdHjUKblVXimGr3RgI3/sEU79OoVSoM1CoWvt26RMpdr9ezYOtZ/C/dxMRQw5jXmqBWqQi+lsTMTWfwqOnI/7rWZdI6f26kZeNUzoyI+LQyRZGxsSd16ojoSEoSEZSUJN1nDRuKSLr14Z6QIGLp9Gnp/urd+857jI+Xc3fskKjO2LEPlkq6elU65CIjJSW3bdvjHaoaHS0ddfPmyXDa5s0lMvbxx1JL9NJLj+/enlQUYfScUq28FXOHtMRAo0IPRManUaOCFZO9T2NrYcynrzRi15kolh8IQ6/XY2lqyKxBHqhUKiZ4+ZGRU1C0lrGhhvF9mtGzS3N2v/A/rlQutoONrt4Mt5F3+VVNQUHhiUSbm8uJsWM5u2jRHe2gT3/zLdbGGprXcGDxsHbUdCo5Wv773SEcDLmOpakh3w1rSx1nWy5eT2Xyen/qVbZl9KsNmeIdQHRiBlUcLAm/nsalQ2WLogYNJAqUnS2F05cuyTiOdu0knXYrg3vpkhg3xsdLEfXdCqfPnZMaoOhoWfNuAupe2LFDIkU5OdLF9ssvj79ep3JlKSAPDZUuOyMj6TabP//B/ZieVRRh9BxTo4IV84a0RKNWodNLcXZVewsmrfPHxdGSD7vUY+PJy6w/HgnIuJFZgzxIzsxjird/ibEgapWKdzrX4dPX3TjaejCBjbpiWqsO/1u9hHKWpo9riwoKCvdJ4IIFXNu5847HM51rcKjbKGYObcW0/m7YW5WsYl62P5QdAVHYmBvx0wftqWJvwdUbGUzw8sPF0ZJxrzdl1uZAIuPTqF7eitCY1DJFkZGRJ40awY0bkjY7ckT8ifr0gV69JFV26wP+zBkpmjYwgBMnZGTHiRNSa/R3du+Wc21tpavtQdrStVoxf3z1VRFqYWESpXkS2L5d3LxXrBC7gFOnoGnTx31XTzaKMHrOqelkzbyhLVGroKBQT1xqNk62Zoxf60ejqnYM7VCLXw9eZKv/VQCq2FswY4A7l+LSmL05kEKdrsR6XZpUZtZgD0Lqv8iyJm8Rk1l2QbaCgsKTTcMRIzBxLHv2Q07zDmxv+x6eb3bEuVzpodIrfcLYePIy5SyM+eXDDthbmXA9OYtxa31xsDJlcl83vt4WxIWoZFydbLgQk0rk4dKiyNDQk2bNJKJjYiIRoN27pVj4rbdg3briWqADByQ65OICx47J9yNHoFMn6ba6ncWLpUOrQwc590Fcp69flyG0X30l6ao//hCx9biJixP37549pb7p/HkxbnxeW/D/DYowUsDVyZq5f4mjfK2OxIwc7C1NGLfWl7Z1ytO7ZTWW/Hm+yOW6biVbJr7RHL+IGwz/6Qi5+SXFT/Majnz1VkvURoZ8t/NcqeO3kxkdzbEvviAvNfU/3aOCgsK/w8TODvsvp6HVFH+SqtRq1P2HsaFmDz7u1YyGVUvPRjt7JRHv45HYWRizfGRHrMyMuJmeg+daX8yMDJje343vd53jzOVE6lSy5Xx0cpmiyMDAE3d3qdWxsxORs2YNjBwpfjy//FI8bNXbW9yt27QRgeTgABcuSESpbVsRBCCRnVGjpL7mk09ExDyIo7OPj0RfIiKku+vLLx9/6kynk2dTt66MGvHykk40F5fHe19PE4owUgCgdkUb5gxugRrILdCRmp2Hpakh49b68XLTKnRrWpmF24M4HhYPgIerI2+0qkZ0UhbDfjxcouYIoH7lcnzzThviU7OZ98fZMgfOZqamc+ijj4javZs9AwaQGhHxKLaqoKBwD6Tn5PP9hVwutBc/KkNLSxzGz+ZXVW0GtK3JS40rlXpPZHwa0zYG0MjFjhWjOmJmZEBqVh7j1vii0+mZNciDZQfCOBmeQL3Ktpy7lkzk4Y2lRJFG40nLllIX4+wsouObb2Ru15Qp0lp+azTH4sViTti/v6SNLCwkitO9u0SCNm+WqFJ6ukRPfvpJvhYuvP8p9jodzJxZXPh99qyk0B43Fy9KhOyDD6ReKjRUns3jFmtPG5qpU6dOfdw3ofBk4GBlSsOq5fA5F0O+VodKpcLYUMPeoBg+e6URyZl5rDt2idrONlS0NadZdQfSsvM5eyWJfcHRtK9XEXMTw6L1ylkY4+JoydojEeQVFNKsenHLvl6vZ8WQ4ajCZWBPfno6V7ZuxdLFBesaNR753hUejLy8PObOncu4ceMwvm0mlsLTi7GhBhtzYwYOeJFMDEjpOoAVl3W0ql2Bj3o0KDHmAyAuJZuxa3wpb2PGrEEemBoZkJVbwLi1vqRm5zNvaAvWHY/k4LlYGrnYce5aMpePlC2KWreG4GCoXVu6yiZPFmG0cKGII5VK6sEnToTx48WgcMkSSRNlZopgycwUQeXoCNeuifnj+fNSk/QglmqJifDGG9LSP2mSfH+cXWcA+fnSgj9woAjGjRslqqYUV98fSsRIoQT1K5dj1qAWqBCn2lsCadxaX4Z1rkPTanZM2xDA+ehkAEZ2q8+LjZxJycxnxNKjXL1R0ueoZa3yvP+SFHHvDowqev3c0l+wDjtd4lxtTg7HPvuMoG+/VYbQKig8AjJjY+96/KXGlQi4fJMFWS6sj8jBxdGSMb0al5qdmJqVx3gvX0yMNMwc6I6ZsQG5BYVMWu9PfGo2swZ6sNXvKvuCYmjkYkfQ1aQyRZFa7UnbtlJE3aiRpIA++UQiPMuWwWefyZlarbTCz54NCxZIfY9aLa8PGCCdabt2QaVKUmzs4QFZWTKK40Ha00+elK6z06elE27qVEhOvv/1Hga37mn6dEkZbtkCnTs/3nt62lGEkUIpGlQpx8xBHgBk5OSj1+spKNQzYZ0fo7o3oHZFayat8+dSXBoqlYrPezamde3yZOQW8MmKY5yLKvk/xeseLrzSvAqLd4Vw9koiBVlZXN7gfcfrn1+6lMMjRih1RwoK/xF6vZ6La9eyo0cPrmzbVuY5Or2e3w5eZO6Ws5gYGWBjbszU/m5F881ukZ2nZeI6f3LyCpk9qAU25sbkawuZvjGAyPh0Zgxw50BILDsComhctRxBV5O4UoYoUqk8ad9eOsRatpT6n2HDpH5o/Xr5M0i7fu/eYkq4ahV88UXxKhMnimDZtEmElbe3eBS5usq6deve7/OSiFX79pKeCwwUp+1vvxVH6aSk+1v3QUhPl3qrNm2Kh9I2aSJfYWGP/n6eJRRhpFAmjaraMWOgO+j1pGXnY6CGrFwtk9efZvSrjXG2M2e8lx9RiZmoVSrG92lGExc78rV6PFefIuQ2caRSqRjRrT5NXOyYsSmA+Bw9xpMWYl6v4R2vH3fsGBfXrHkUW1VQeK7Q5uRwctw4AmbPRqfVcnLyZM4cPFninJx8LTM3BuB17BJV7C0o1OmYPsCdchbFLfm5+VoKCnXM2BRAbFIWMwe642RrRqFOx7wtZwm+msTU/m74XbrJ5lNXRBRdS76jKOrYEY4flw6v9eulZmjPnpKpr+RkifgcOCD1REOHltzbe+/B2rVyzowZEj3q27e4IPt+SEuT1Nlnn0n06tAhiUT5+sqg1aFDpTj8UfLHH1Cvnsw9++YbsSRwcZF77NlTDCYV7h9lVprCXQm8ksikdX6ACjtLY7LztDhamzLxjWZM8T5NVp6WhW+1oryNGTn5WsasOkV0YibfDmuDi0PJxHtWbgGfrjxBQaEOGzMjLscm807iUXL2l/ZKsWrYiO6rfkPzIL78Co8MZVba00FGVBRHP/mE1PDwEq/rbOzos3Uzpvb2JKRmM8X7NPGp2TRxscc3IoFp/d3xcHUsOj8mKZNxa30pZ2FCZHw6Mwe508TFHp1ez8LtwRwIjmVS32ZcvZHBb4fCaVS1HMF3EEXgSadO0nXWq5fUCr32mtQDbd9ebNAYHQ3duomr9c6dYsxYFnl5IpDWrJH00sSJ9198fPasiKLERBm2+tpr8npqqkRmnJzkvg0N77rMQ+P6demq27JF7AZ++AGqVJFjn30GS5dKwfWt1xTuDyVipHBXmlazZ1p/d/R6PUkZeZibGBCfmsO8LWeZ3NdNRois9SU5MxdTIwNmDnTHztKEqd6nScks6apmbmLIjAHuZOdpUatVtG1QmZ/sO1AwYDjq28w1ckwsqTdttiKKFBQeIrGHDvFnv36lRBGAOjWJY6NHk5GZzacrT5CTr6V3i+qcDE/gwy71SoiisNgUPlt5gpy8Qi7GpjL2tSY0cbFHr9fz894L7A+KYUyvxsSlZPPboXAaVrm7KOrcWaIw/fvDd99Jiio8XFrhb4miCxfEzTorS6JKdxJFN29KxGnjRok6TZp0f6JIr5eappYtxVE7IKBYFOn18OGHIo7WrXs0okinkzqrunUlOuTtLaNGbgmgs2fl2U2Zooiih4EijBT+keY1HJja3w29Xk9ieh7WZoZcvZnJNzuCmdbfjfwCHePW+JGek4+NuTGzB3mQV1DIxHV+ZOeV9DCqYGvGlH7NCb+ehkoFw16ozTpqcHWoJyb2DqDRYP3xeKrXrvaYdqug8OxxYcUKDo8cSUFG6SHQtyjv4YGFmQnDu9TjvRfrsu7YJV51q0ovj+KfRd+IBL5c7YuJkQEZuQWM7F6fdvWcAFh1OJw//K4yqkcDsvIKWLovlAZVbDkXlcyVo3cWRT4+8M470v7eqZOImyNHip2oT54ULyJbWxEFtWuXff+hoSJkIiKKhdb9kJUl5pHvvy/fT5yA2xtlf/1VhMnPPz8ab6ALF6S26X//k5RiaKh8vyX4dDoYMULSZ7eK0xUeDEUYKdwT7jUdmdS3OTqdjoS0HMpZGBERl8aPey4wfYAbKVl5TPTyJztPSwVbM2YO9OB6SjbTNwZQUFjSHbt+5XJ83rMR+8/Foi3UM22AG76F5TjY63MaTJvFG2/1fEy7VFB4NrGuWfOOxwytrOjwww80GjUKlVpN9fJWLNoeTLPq9vyva72i8/acjWaqdwCV7cy5kZbD4HauvOrmAsCmk5fxOnqJdzvXwVCj5vvd56lX2ZaQqBQRRfvKTp/5+MiH+pgxEh3SasWJun59OXPHDokANWwoYqlixbL3sH+/zAEzNS0u3r4fwsIkGvX777B6tYgfk9smnYSHw0cfiZC7X+F1r+TlSddbkyYiFg8dEuPGv7tqr1gh4vHHHx9dSu9ZRxFGCvdMy1rlmdTXDb1OT0JqDg5WJpyPTubXQ+FMG+BGdFImUzecJl9bSI0KVkzr70ZIVDJfbQ0qZfDYqYEzQ9u78tuhcHLzC/nm3dZkGFkw56opOXdxygYozM/n0qZN6P82jkTh8TNgwAB69uzJunXrHvetKNyGc/v2WL4xtNTrNrVq0c3bG+eOHQFIy85n8np/7K1MGN+7KRq1Gr1ez9ojESz8SyxdTsigR7MqDO3gCsCuM1H8sj+U/m1q4GBlwqLtwdStZMOF6NKiSKUSUdSxo3gMff65RGY6dBBjxqNHoXp1OXflSklfdesmRdg2NmXvbelSOadVq+Ii5Pth3TqJUul0MmR1yJDS56xdK4aT3313f9e4V44eFUE0axaMHQtBQWUPw83NhQkT4M03Jaqk8HBQiq8V/jXHw+KZuSkAlUqFczlzrqdk0dK1PL08qjLRy5+m1eyZ1Lc5Bho1R0PjmLXpDL08XPiwSz12BETRrJo9znbm6PV65v1xluNh8Sx4syUVbc0JvpZE27pOd73+6TlzCF+zBqe2bWk1dy4mT8Jgouccpfj6ySYnX8vCrWcx/HkOleKkl9vllVfwmDoVA1MZ8pyvLcRzjS+xyVl8+24bKtiIO2BEXBofLz9G18aV8QmJpVl1Byb1bYZGreZQyHXmbgnkFbeqNHaxY/bvgbg6WXPxeipXj24k/G+iSK/3pEMHOHxYiqK7d4eXX5ZU1Z9E31j9AAAgAElEQVR/gr291PDMmydGjh98IMXYtztU6/USZerVC/btE9PHkSOlO+t+5oDl5Yn/z5IlMGiQRInuNCZEr5fOuP+qCy01VYTQ0qUi9JYulTlndyM4GCpUECNLhYeDIowU7otbgketVlGpnDkxyVl0qOdEpwbOTNtwmrZ1nfjytSZo1Cp2BFxj8a4QhnaoxeHz10nLzmdafzfqVrIlX1vI2NW+xKVk8+27rSlvc3er1p1LvUj7dlbR380qVKDtwoXYN278X29Z4S4owujJJjdfy7i1fvSqZ0fmjM+pMWAAdQYPLnKv1uv1LNgaxJELcSx4syV1K5X8ZcM3IoEFW4OoYm/BnMEtMDbUSLfahgA61q9I+/pOzNgQQDVHSyLi08uMFOn1nrRrJ9GQWbPEdPG118SccPt2sLaWaM1nnxUXEk+ZUrp4evJkacV3cxMjyG++kfTW/XDlitTrBAeLJ9Hw4Y9nfIZeL+m7jz6SGqc5c6SmSK3kdB4LymNXuC/a1XViXO+m6HR6YpKzqGxnzqHz1zkeFs/Y15tw5MJ1vt8dgl6v55XmVRnS3pXVh8N5pXkVKtmZM3b1KU5cjMfIQMOUfs0xNlQzef1psvIK7njN1MtXSFrydYnXsuPj2ffmm4StXo2i8RWeZ7S5uUV/zsotICu3+GfJxMiAhW+3ooNHLTLHLGBxdlXyCord5dcdu8SBc7F80bNxKVF0Mz2HxbtCsLMwYVp/d4wNNQRdTWLmpjO0cHWkc8OKzNx4hioOIoqu3kEUtW4tomjhQqkhevllmS/2558iivLyYPBgmX32449SX/N3kbJqlYgiJyepB9q+/f5F0fbtIsqSkiQF9+GHj0cUxcSIQOzbV+qbLlyQCJgiih4fyqNXuG861K/I2NeboNPpiUrMooq9BXvORhN8LZlPX2nErjNRLD8Qhl6vZ0h7V3o0q8JPe0Pp3aIaHq6OzNgYwDb/q9iYGzN9gDs30nOYszmQwjJqh/Q6HSfHfolBQW7pY1otZ+bO5dhnn5F/l64bBYVnlcgtW9jWtSsZ166h1+v5enswnmt8S/yykFdQyOzNgaw8cpkWro4Y/eVgfej8dX47FM7QDrXo2KBkdXNGTgETvPxQqVTMGuSBpakhF6+nMsXbn/qVy9HTvSrTNwTgbGfO5YT0O6bPWrYU8fHjj2K02KePpMK2bpV5XhkZ4suzebO02n/4Yek9Hjki7tdmZpIyO34cevT498+qoEDSVT17St1OQAA0b/7v13lQCgvh+++lBd/fXyJGW7aIeaTC40UZIqvwQFRztMLJ1oxjYfGk5xRQ1cECv0s3cbYzp309J1YdDkejVtGoqh3uNR25kpDOxpOXGdm9AebGhqw6HE6+VkeH+hWp5WTN2iOXyMgpwL1myYS5SqXCpHJVbp48gTY7u8x7Sb98mcyYGKp07footq5wG8oQ2cdDQVYWflOmEPLjj2izs7l24hTBFZuw7UwMo7o3oMpfJqvxKdl4rvXlYmwqnr2b0tPdBZVKRWhMCtM2BNCpQUU+7FKvxGDY3IJCJq3zIz41h/lDW+Jka8bVGxl4rvGlioMFQzu4MnVDAI7WZkTdzLyjKPLwkA/+FStk2Ol7/2fvvOOqrL84/r73soeggFvEPRmiuHempqm5R1Zm/izLSpuoOdNsqJmVaWmm5d47V+7FVBAQBEEQRNl73Xuf3x9HUWKo5e6+Xy9evbrP+j7PVZ6P53zOOWOkqmvlSqmiunFDOlUHBkrjxpLETni4mIvz88HVVarZ/sms6dhY6NMHNmyQGWvffSeVbI+awEDo31+qzEaPlk7WzZo9nojVo8LPTyJ9TwOGiJGBf81zLtX5qK8rekUhOjGTWhWt2XT6Mhk5BbzaqT4rj4Sx3SsSjVqF54Bm1K9qy/T1PvRsVoM3uzdm46kIFuwMoHkdB97u2YTt3lHs8I4qco3cAh2zzuWS8O5cKpXS3U1jYYnr++8/gjs2YODxk3LxIvuGDi0y6ywvMoLQBV8zsHUt2jasDEj3+vHLT5BboOO70e3ocLO4IT41mxkbfKhf1YYJLzqj1d+OLun0euZu9iM8Pp3Zwz1wtLciNjmLSavP4lDOnNFdGzJroy921mbEJGYSWYoocneXiMzq1RAfLymiCRNEEGg0cPmyzPqKi5OI0M3iuCIkJ4sROTNTRM3Ro2I2vl8OHhTxERkp5/jww0cvRHJzxXTu7i6jRo4flyiajc2jXcfj4KuvHvcK7h2DMDLwQHjetTof9HFBr0BUQgZOFa1YffwSGjUMbF2LxfuCOXD+KiZGGmYMbYFDOTMmr/GifcPKTBnkTos6MsioT4ua9G9Vi5/2BeEdfqPw/KZGal5s7sjWkBT2dxpDvTf+V+y3msmo8Vgb2r4aeMZRFIWwtWvZN3w46ZGRxbbXu+xN14xQFEVhy9lIJq/2on4VGxa90Q6nihJBysotYNo6b8xNjJg2uDl7/KJ5b/lJsvO0KIrCot0X8ApPYOogdxpWK09Ceg6T/jiLhYkRb/dozOcbfSlnbkJcclaposjNTSIjGzZIZ+ZJk8RMvWCB+Gf8/aWbtUolabaS6ify88WLlJgoZuQtW+4/wqPXy2iQ7t2lBN7fX8RYWWRliQk8Obns/e6HI0dksO3XX4s48veXxpX3g053932eRMLDZbDv04JBGBl4YPRwq8H7vZ1RFLiSkElNBytWHA7DztqMF5rVYMHO85wIuYaVmTFzRrREo1IxZY0Xrk52dG5y29vwv26N8KhbkS82+xN1QzxDKpWKfi1r8eXIVkQmZvG9sQv1v5iP6c1S/Ut1WtKkv6ExpIFnG71Ox4kPPsBn9mz0+fml7pd5JQqtXuFoUBwDW9fi8+EtKWcuI3Z0ej1fbPEnMT2X6UNasO5kBD/tC8a9tj1mJhpWHgnjz3MxfNDHBY+6FUnNymPSH2dRgPd6OzNnsz/mpkbEp2Zz+VhxUQSeODuLOXrrVonUfPWVCKJbhupb4z5q1BCvUK0SGt0nJ0t/Il9fqTxbvPj+DckJCdISYMYMEWV7997bMNkPPpCy/evX7+96JZGcLOnDLl2gUiXpSTR9Otxvxlmvl3Ti0qX/fk2PmnnzpBXD04JBGBl4oPRyd+TdXk1viyN7K34+EEKdyuXo0KgKc7f44xuRgJ21GV+83JLUrDymr/Mh944KGY1ahWf/ZlQub8G0dd5FZq65Otnx/RvtsDYzZmaQHstZ31Oz30vEdRvBN9vP37U5pAEDTzNqjQbLMowaagtL2n/7LW4TJ2KsUfPNq60Z060RGvXt6OpP+4Lxu5zIJ/3dWHUklO1ekbzTswn/69aInd5RrD0RzpjnGvK8a3Uyc8V8nZmr5cM+Lny9/RxGGhWJ6TnFRJFaPReVypOGDSEiQmZ5rVsnM76WLbs9rmLjRhErbdpIk8eShMqlS7I9IAAOHZKp9vfLqVOSOvP3lwaR06cX7YdUGrt2Sf+ghQvFGP1PURQZHdKokdzzkiWSwvun5/z9d7mnu/U1etK4dk2adU6Y8LhXcu8YhJGBB86LzWvyTk/p6X8lMRNHeyt+2BuEe20H3Os4MHODD0ExyVS3s+Lz4S2JuJ7O3M1+RarRLEyNmDm0BQU6PTM3+BQpLa5ka8GCUW3p3KQq356Mw7f9MD4Z0pIbaVJWXFrZ/qV168iOj3+4N2/AwEPGdcIECqrXLva54lSPF7duwbF798LPTIyKKoHtXpHs9LnC6K4NWH3sEr6XE5k+pAV9PZw4GhTHT/uCGdC6FoPa1CY3X8u0dd7Ep2bzcT9Xvt0VgKIoJGfmEXG0ZFFUt66Un+/YIZPf162TnzfekP1+/FFGaQweLOXyJTVSPHZMRnqoVHDmjJT03w+KItGpTp2kC7a/v5i774XERInu9O4tHbn/KdHR4ocaNkzSZSEh0iPpn5bgZ2XB5MnSc+luacAnjRUrJDo2btzjXsm9YxBGBh4KfT2cCucsRSdmUsPOku92B9CxcRUaVLPls7XehF9Lo2E1W6YOcsc7IoHvdgcWETUVbcyZMbQFl6+nM39H0bEipsYaPujjwvu9nYlLzqamgzXv93bmUGAse/1jiq0n9uhRvD//nD39+xO9f//DfwAGDDwkMgoUQl4YQ77x7SFeCa16MnjLBqzKqPX2unSDJfuDed6lGjt9r5CYnsv819rQun4l/CMT+XrbObo0rcr/ujWiQKdn1kZfIuLT+aSfG4v/DCKvQEdadj4RRzeUKIqcnCR1tXOnNCjct0/K8YcMEbEydSqMHy+Rg1WrwMSk+BpXroRu3cQLdPo0lDHirUTS0mDQIDFWT5ggEalq1e7tWEWRNgFarUS4/okxW6eTSrfGjcVXtXWrlOGXNuPtXvn6a+m39DQZmG/x6acy/660kS5PIgZhZOCh8VLLWrz5vMSNY5KyqFrBkgU7AujlLk0eJ6/xIjoxE4+6Ffmwjwv7zl3lt8OhRc7hUM6MVvUrcTT4Gr8fDSuyTaVS0cvdkbkvt8RIo6arczV6N3dk8Z9BhF9LK9wvLiqWAx99CkB+ejonJk7kzNSpFGRlPeQnYMDAgyc+NZsYrKgx4RMKzK042/NNXvv+C0xMS1AaN4m8ns7cLf60rFeJ5Mw8zIw1fDe6HfWq2BB+LY1ZG3xxrWXPB31dURSFL7eeI+BKMp/0c2X5XxdJz8knM7eA8CPFRZFa7Un16iJKtm8Xk/XZs9K4sVcvERpjx8Ls2fKCnz+/eOREr5eIyKhRMtH+zz+LD0u9G/7+Uu116JCUv3/zzf0NVV29WkTMkiX/rOotIEDM5BMnyn0EB0vjxn/L1atyLxMn/vM5cI8TjUZM51euPO6V3DsGYWTgoTKgdW3GdGsIwNWkLKqUt2D+jgAGta5NeUtTJv1xlvjUbJ5zqc7/ujVi3ckItnvdrrS5EJ3CiZBrONpbseZ4OIcCrha7xp29V97q3piaDlbM3uxHVm4BiqLw1yeemGQXbfx4ecsW9g4aRFJg4EO6cwMG/hkFWVlkxcWVur1htfKsGN+ZyOoubO71MfW7dcXWsnQnb3JmLtPW+1C5vAWe/d345CU3vh3Vloo25sQlZ/HZWm+q21kydZA7GrWKb3cGcjr0Oh/0cWHNiXCSMnLJLdBxqQRRpNF4UrmydK2+NdIiNPS2uTonR5o5rlgh0aCPPy4eicnOlvTal19KROTnn+9P0CjK7dli5ctLv5x+/e79eICYGIlmvfyyRJzuh5wcEYPNm0vK6+RJadz4oCbjTJoE1tby36eR8+dlIO8/6Tv1uDAIIwMPncFt6jC6awMAYpOzcChnxrwd53m5Q12MjdR4/nGWpIxcBrWpzaA2tflpXzBHguTF0LFxFWYMbcH11GzKmRuzYFcAF6JLr6E1MdLw2aDmpGfnM3/HeSI2bUId5FfivpnR0ewfOZKgn39G/7TWwRp4pkg8f569Awdy7P330ZVRdeYbkcjG05cpMLHgYlwq+dqS//zmFeiYsd4XrU7PzKEtMDcxwtbSFEszY1Iy85i8xgsLUyM+H+6BmbGGJfuCORhwlfd6NWW7dxRxKVkUaPWEHV5fTBQZGXliby9CZ9068eTcuCEGYw8PSEmREvmDB8Vz9OqrxdcXHy+9i/bsEWHj5XV/KaysLIkwvfmmNEo8cQJqF7df3RUTExFw339/f8cdOgTOzuJpmj5dRFmbNvd//dLw8oI//pBo29M0glBRJI3Zs6ekRY8fl0jh04JBGBl4JAxtV5fXOtcHIC4lGztrM+btDOCNrg0o0OqZvNqL9Jx83niuIV2dq/HNtnP4XU4EoFW9Sswf1RaNWoVKpWL6eh+upZTc/RqgSnkLPurnysnQ65y3a0DNF14odV9FqyX411/JTUp6sDdswMB9oMvP59zChRwYOZLMmBhSgoPZ+tmcEve9kpDB7M2+APRwq87819oUM1kD6G8Oho1KyGDWMA8q2txuAJSdp+WztV4yJuTllthamrLqSBjbvaN4q0djDgXGEnUjA70eQksQRSYmntjagpmZRIJeeUV6Dh0/LlVTsbFSWh4cLOKhpG7WAQEySDY2Vo4/dUoiNvfKxYsyW2zLFkmDLV4s6/knVKoEy5ffe/ouKUnSZd26yQiPgADpTVSSb+rfYGoqXcJHj36w531Y6HRSgdeyJXTtKsJ39WrpY/Q09d41CCMDj4wRHerxSsd6AFxLyaa8pQkLdgXyZvdGpGTl8dkab3LzdXzQxwW3WvbM2ujDpZteoXpVbFj0Rnuq2FqQlVfAx6tOk5lb+sDZtg0qM6hNbX45FUNIj9G0njsXI0vLEvd185yERcWKJW4zYOBhkxIayr5hwwj+5ReUOyoz83ZvJvrEySL7RsSnMX7ZCbQ6hfE9mzDhRZcSRRHAqiNhnAi5xqcvuVGvyu3WyvlaHTM3+hCXks2cES2pbGvBxtMRrDkRzmud63Mm7AahcamogIt/rStRFFlaipl26VIYPlyqy06ckHTJxYvitUlLk7RS69bF17Znj1RX2dvDtGlyntmzZUzGvbB2LbRoIZEJb28YMeLejvu3KAqsWSMl99u3Swfvv/6CBg0ezvVcXWWUyr20GXic5OSIN6tBAzHbW1uLT8zfX76b+0mNPgkYhJGBR8rITvUZ0UFKTeJTc7AyM+a73RcY16MJMUmZTF/vjU6v8Nkgd2rYW/HZWi9ik8UkXdHGnO9Gt8PZsQIJ6bl8vOo0Wl3xgbO3GNW5PraWpmw8E8nvuVXpsnYD9m5uRfZJrteMOn37PLwb/o8xbNgw+vbty9q1ax/3Up549DodQb/8wr4hQ0gNDS22XYWC77Sp5KWmAnAo4CrvLj9JvlbP5AHN6OPhVOq5d/pIP6LRzzWkXcPbTmK9ojB/RwBB0SnMHNqC2pXKsccvmmUHLzK4TW1CYlO5EJ2ERq0ipARRZGrqiZmZzLz69lt5CVarJumzatWkvL5dO3kxnjoFDRsWXZeiwKJFUsretaukriZOlLL2yZPv/sxyc+Htt+VlO2CApJr+Ta+h+yEqSiJfL78szRpDQqS0/5+W4D8LJCfDnDliCn/nHTG/e3mJWOzR4+md/fYf/koNPC5e7VSfYe3EiXcjLQczEw0/7QvinZ5NCI1NZc5mP4w1amYPb4mVqTFT1niRnJkLSH+jL0e2ppd7DaITMvnxz6BS+xYZG2n44Y32mJsYcSbsBp/ujaTON9/j/M47qNRqFGsb2s6aifq//JvtAbNu3Tp27NjB8OHDH/dSnngub97M+YUL0WtLb0pqVa0aurw8EtNzWbAzAJ1e4a3ujenUpPT6761nL/PD3iDcnOwY3Oa24UZRFJbsC+ZoUByf9nfDpaYdhy/Esmh3IC+2cORaSjZ+EQmYaDSEHCouiszNPTEyEg/PrFkiipo2lZegg4NEgbp2lVL148eLT4nXasXg/P770ll68WIRRE2aSFTkbi/RW3PVfv1VzNYrV0IpQeAHilYr/pgmTSAoSNoRrF//zyrXnhWio0XQOjrC55+LSA0NlfEvOp38V1/6v1mfeFRKaW8VAwYeIoqisOxgCJvOSAWanZUpCjCqSwMW7Q6kfaMqfPKSGwnpOUxccYrylqZ881prLE1vx2T3nYthwc4Axj7fiIGtS3dc+l5OYMpqL2wtTcnKK+Dtnk1oQRLa7Gyq3EO3tLzUVEyfpiYcj4H09HRsbGxIS0uj3NPkEn2M6AsK2Dt8BGkhwcW2qY2McH7nHRq98QZqjYboxEzG/3Kctg0r8+lLbkUqMe9k7YlL/HY4DGszY5a93alItdq6E+GsOBzKu72a8mLzmpwJu86sjb50blIFnR6OBcdhbmJE0MG1xUSRhYUniiJG43ffFc9L587i77GwEJHyxhvw4ouS5vr7PLO0NKk8O3RIBNErr0jUJTpaUmF36/OzfbuYrO3sxMPi7n7Pj/lf4e8vpnI/P7nv2bMlGvZfJTBQWgesXSvP4Z13ROxWqnR7n27dIDVVvldDxMiAgftApVIxplsjBrRyAiApMw9FgT+OXWJcj8YcC45j0Z5AKtmYM2dES+JTs5m1wbdI9U0PtxoMaVuHXw6EcDq09KFGzWs7MLJjPVKz8nBzsmfhrkBWXFFh69HqruuM3rePHT17ErFlS6mRKQMG/glqY2OcPv4MndqoyOe29evTY/16mowdi1qjITdfy+xNvlS0Mef93s4liiKdXuHHPy/w2+EwLE2NWPZ2xyKiaN+5GFYcDmVkx3q82Lwm56ISmb3Jj1Z1HdCo1RwNisOiFFFkZeWJTifl6GPGSHVZnz5SaWZuLr2JRo0SsbRpU3FRFBkpnqMzZ8R38r//yZiI9HTpN1SWKCookBL/l14SIeXr++9F0b38Nc7Kkut6eIip/MwZadz4XxRFiiKp0t69pR/RkSMijqKjJVp0pyjy8RHx++mnT68oAoMwMvAYUalUjH2+Mf08agKQkpVHXoGOTWci+V+3xvzpH8MvB0OoVdGamUNbEBSTwtfbzqPT3/7N9nrXBrRtWJkvt/oTEZ9W2qUY3qEezWrbE3Ytlbd7NMHvciKJ6bllri8x7gZnZn1OQUYGZ6dO5fDYsWX2lzFg4H7Q6vQsD8nC36WHfKBW03jMGHqsX0/5m+YcRVH4YW8Q8ak5TB3cHHMTo2Lnyc3XMnODDzu8r2BqrGHRG+2wtbxdnnUm7DoLdwXSy92RkR3rcTE2lRnrfWjqWJ7yVmbsP38VKzNjLpQiinJzZazFwIEial59VSIGRkbSYfrTT6Wr9dKl8tmdnD4tlWO5uSIunntOPq9VSyq5PDxKfz6xsSKGFi6UIaRbtjyY7slTp8p9lCaQ9u+XyNgPP0iEyNdXqqz+a+h08sxbt5boYHS0dCyPiJCu4iWNc/nqK+lWPmDAI1/uA8UgjAw8VlQqFeN6NKFvCxFHadnSYXe33xVGda7P5jORrDkejnNNOyYNaMbJi9f4ad9tX5FapeKTl9yoYW/FtHU+pYodjVrFpy+5YaRWczQ4juVvd6KGfQl/s+9g60efoU1NKfz/+FOn2N2vH2Fr1hSpHjJgoDTK6kVkpFHTrmFlRs/5mFr9+vH8qlW4TZyI5o6a733nYjhws69QTYfi4YobaTlMWHEKn4gENGoVs4d7UN3u9p/roJhk5mz2o039iox/oSlRNzKYssYLJwdrajpYs9svGmszYwIPrCkmisqV8yQnR3oRdewo3qB335VxGXq9pMMWLhQBMWtW8QjB2rUibBo0kE7Yfzdil1VpdeCA9L+JipIIxYcfPpgIxLlz8vKuXr34+RIS5J569BDhFhgInp6PtqJq61ZpePk4yc0VD1ejRiKGLSxg924Rsq+8UvrziIqSJp8fffTkV9HdDYMwMvDYUalUvN2zCb3dawCQkVNAalYeR4OvMaxdHVYdDWObVyTtGlZm/AtN2elzhbUnwguPNzPWMHNoC1DB9PXerDsZzm+HQ4vMVgOwtTRl8sBmXIxNLXJ8SUQfPoLl+ZPFPtdmZ+MzZw4HXnmF1LCwEo40YED+nPjPn8+fgwejzS09MjmwdW2aOjnQas4cjubaEBRzu3lpRHwaP+wNope7I91cSp6BFhqbSkJ6Djq9woQXnXGpaVe4LepGBtPW+dCgqi2eA5oRn5rNpNVeVLIxp4ljBbZ5RVGuFFFkY+NJRgb07Stm6qlT5WfhQkkz9ekjabP168VncieKIkJpxAgxaB88KGX594JOBzNnijhxdxePz4MamqrVig+qUaOiXaQVRSIhjRqJgXzFClnz/c5p+7f4+kqkZcuWR3vdW6SkyIw7JyeZGefiIlG+w4elGu9uwnTpUmlCOXLkI1nuQ8UgjAw8EahUKsb3cuaFZiKOMnO1XE/LwTv8Bn09avLTvmD2n4+hd/OavNKpPiuPhLHXP7rweDtrM2YN9eBqUhZ/Bcay9kQ4szf6kpNftOKnSY0KjO7akI2nL5fpS0r08S5zvYnnznH0nXfKrCgy8N8k9tgxdvfrR8ivv5IWHs6xr78tc//kzFw+W+PFLwdDCI6RCGVWbgGzN/tR08GqcBhzSWjUKrJytQxtV4furjUKP7+RlsOUtV44lDNjxtAWpGblM+mPs1iaGeFRz4FNpy9TzsyYgFJEUWqqmKUrVhQP0bx5InYSEqTy7PRp8QsNHlx0Pbm5ElWYPl3SUCtXSpPCeyEhAV54QYTRjBkiUhwc7u3Ye2H+fIkYLV9+uxFjRIRExF57TcRYSIj4pR6HP+azzyS6NmzYo73u1asS5XF0lGf/0ktSYbZpk6RB74W8PIkkjhr1aCoFHzYGYWTgiUGtUvFeb2d6uMq/jnPytMSmZBMWl0p31+p8uzOA4yHXeLlDXV5s7sii3YFFxE2dyuWYNKAZ0QmZtG1QCb/IRCauOMX11KKx6YGta9GmfiXm7ThHfCkdtN0++ohOP/6IeRmNH5t99BHqv5sqDPxnyb5xg+MTJ3J03LgiXrS4DasJOVmy0Pa6dIO3lh7n8vUMvhjRksFt66AoCgt2BpCWlc+Uge6lNnC8dC2NL7edo32jyozqcrvDYHpOPlPWeKFRqZgzoiVanZ5Jq8+iAJ0aV2XdiQjKmRcXRSrVXGxtPUlJkW7LKpU07fv5Z0llRUZK9CYmRsy4XboUXU9CgniINm+WSNKUKfcuME6ehGbNRLjs3y9NHx9kOiY0VMTaBx+Ir6mgQASfszNcuiQibPVqEYKPgxMnRGjOmlXcp/WwCAoSIVOrlojF996TQa9LlkC9evd3rk2bIDERxo17KEt95BiEkYEnCrVKxYQ+LjznUg0FyMvXEXkjk2spWbRrWJkvt/jjezmRt3s2pW2Dynyxxa9I+qF1/UqMfb4Rp0KvM7B1bbLztby7/GSRfVQqFR/1c8XKzJjZm/2KzZkKjE7m3WUnKGjcnN7bt1Nn4MBi67xeozHVn3/+oT0HA08Peq2W0NWr2fXii8Ts319su1pRiGZOat8AACAASURBVJz3RRG/UV6Bjp/2BTF1nTcNqtqw5M0ONK8j4ZFtXlGcuBjPh31dqVqh5H9+J6bnMn29NzUdrPionxvqmwokt0DH9HU+pGXn88XLLTE11jB5tRdZuVp6uFZn9fFLIor2FxdF5ct7kpwsL7ekJBE3a9aIUfn8eaksA2nc2KxZ0fUEB0t0ITxcPEFDhtzeFhtb+rNTFInkdOokL2h/fyn3fpDo9VJNV6OGRER8fMRMPWmS3GtQkESqHheKIiLS1fX+B9j+k2sdPy6p0KZNpYLsq6/EWD1nTtEKs/uhVy/pXfSwOoA/agzCyMATh1ql4sM+rnRpWhUFKNDqCI1LIyu3gGa17Zm1wYeQqyl82t+NhtVsmbbOm6gbGYXH929Vi97NHVl7Ipyx3RrhaG/FJ6vOsP98TOE+VmbGfDaoOVE3Mvj5QEiR61uYGJGv1TN+2Qm2ByXQYsZMui5bhuXNjnVajTHHXfsSfDX1kTwPA082106exPeLL9BmZZW6T/rlyyT6+wMQGpfKO78cZ7dvNG91b8ysYR6FpfUhV1P45WAIA1rVKtKx+k5y8rVMX++NSqVixpAWmBlLaEWn1/PFZj8uX09n1jAP7K3NmLrWm+tpOfRpUZPfj5UuiipUEFE0YQKEhcG+fVJKP2yYCJ2OHaWz9cmTxYe0HjggosnSUroe35l+2bhRxoQEBBS/j9RU8dR89JFEpP76S67xoFmyRCIyixZJuurW+s6eFVH2uFM/Bw/CsWNS+v6wes3q9WLsbttWvsvISElzRkRIFO3ftiEoX754WvVpxtDg0cATi06v8NVWf44GX0OtArVahbuTPTkFOiKup/P1K62pWt6Cj1adIT0nn29HtS0clKnV6Zm6zpuwuFTmvdaGbV5RHDh/leVvd6ZKeYvCa+zyvcL3ey4wqX8zOje93VAlX6vjt8OhbDkTSVPHCnzU1xV7MxUXli5FU86W5dQjM7eAxWM7lDzAU6fjhrc3lUsaFPUM8l9u8KgoCvtHvU5SKb40B3d3PKZPx/amm3fjqQiOBl/j436uRSrN0rLzeeeX49iXM2Peq20w0shb8lxkIjXsrbCzNkOnV/h8oy/nohKZ/1pb6lQuV7iGb3cFcDAgllnDPHCpWYHp630IjklhaLs6rDoShrWFMQH7ShZFSUlSdn/0KFy4IN2dO3eWtNiIEfIy3bKl+At0yRJp8Ne9O6xbV3QCfECATJrv00cq1O5Mq/n5yYs0OVle0H37/osv4C7ExEhUZNcuuHFDokYTJz66lFVZKIoINbVafFsP2tuUmwt//CF9h8LCoEMH+Z7vxUz9n0YxYOAJRqvTKZ9v9FW6z9qlvDB7t/LC7N3K9HXeyvhfjiuD5+1XrtxIVxLTc5RXFh1Sxiw+oqRl5RUem5GTr4xZfER57fu/lNTMXOVyfFqx8+v1emXuFj+l79y9ypWEjGLbz0clKq98d0jp9+VeZa/fFUWv1yuKoiiR19OVF2bvVlYdCS1x3WHr1yurGzdWDo8bp6RFRT2gp/HkkpaWpgBKWlrxZ/xf4MJpf+X3Jk2V1Y0bF/780cJDCd+0SdHrdEX21er0SoG26Gc6vV6ZvPqsMnjefuV6araiKPJnc/PpCKXn57uUnw8EK4qiKD8fCFZ6fr5LORMWX+T4Xw+FKN1n7VIOBVxVtDqdMnO9t9J7zh7lj6OhSo9Zu5SB3+xT6j3/mgIU/qhUcxU7O0UBRZkyRVFcXRWlQgVFOXtWzrl4saKoVIoybJii5OUVuZyi1SrKhAly7PjxilJQUHR7UpKi1Kol58zMvP25Xq8oS5YoiqmporRooSiXL//DB36PxMcryvDhss7nn1eUiIiHe737Zc8eWdvBgw/2vCkpijJ3rqJUrizf4YABinL69IO9xrOMIZVm4IlGo1YzaYAbbRtURq9XUAFnL12nsq055S1NmLTaiwKtni9GtCQtO59p67zJvVmJZmVmzKxhHmTnaZm1yY9qdsVj5iqVivd7O1PRxpw5m/wKj72FS007fnqzA50aV+XbXYHM2eyHoig4VbRmSNs6rD8ZQXRCRpFjEuMT8J6/AIC4o0fZ07cvvnPnFg4DNfBsodPrWXkpl4v12hZ+Flvfg967dlFn4EBUf8uPaNSqwmjQLdadCMc3IoFPX3Kjoo05eQU6vtl+nqUHQhjYujajuzZkj180m05f5s3ujWlV77YZZJtXJOtORjD2+UZ0blqVb3cGcubSDYa2q8PqY5ewupk+u/S3SJGdnUSKpk+XlNf16xIx8vCQz95+Wwy5q1ffruICyMyE/v0lNfX99/JzZ/RFq5WKtludrW+lqjIzpWLtrbekbP7ECfEVPQwURcruGzUSM/eqVZIe/Hsa8HHz/PMSnbvV+PLfEhsrHbsdHeU77NNHKu02b5ZGjQbuDYMwMvDEo1GrmTKwGa3qV0SnV1CrVRy/GE+tSuUwNlLjufos5iZGfD7cg8gbGczZ4o9WJw0Yq5S3YPqQ5oTGprJo94USx3qYmxjx2SB3rqVm8/3e4vtYmhozsY8LM4e2oFkt+8KRDCM61KWSjTkLdwcW6Zm0e8aXkHlbLOm1WkL/+IMdPXsSvHw5ury8h/GYDDwkrnt5cWXv3lK3a9Rq3GvZ02+mJ0aNXNjX+X88N38etpXurcTpXGQivx8NY0SHejSv48CNtBw+XHmaEyHX8OzvxphujQi4ksQPey/Qp0VN+nk4FR575EIcS/YFM6hNbQa0qsVP+4I4GHCVwW1rs/5kOBZmkj4rSRQlJkoV1IoVMvbixAkREm+9JZ9/+SV8+21R30tMjHTBPnJEUlPjxxe/H09P6X2zYYP0xAExZ7dsKUJp7Vr48cd7L+O/Xy5dEqExerTMbrt4UQTZk5g6MjKSNf5bgoPlfmvVgl9+kd5SUVFSUfisGKIfJQZhZOCpwEij5rNBzfGo64BOp2CkVnH4QhxNa5SnQCvlyFVsLZg2uDm+EQks3B1YKHCa1KjAB31cOBBwlfUnI0o8f00Ha97v1ZSDAbH8eS6mxH1a169E7+Y1C//fxEjDe72dCYpJYa+f9FRKDgnB6MS+Eo8vyMjg3IIF7Ozdm/SoqH/xNAw8CtIiIjj6zjscev11vGfNIj+t9JEzw9rXpW7tqqxv9TpNnu9MDft7c/QmZeQyd6s/Lk52vNyxHoFXkhi/7ARp2fksGNWWLk2rEZ2YyexNvrg52TGuR+NCYe53OZFvtp+jq3M13niuISuPhLHD+woD29Rmy5lIzIw1IooOluwpmj1bBIqFhVQqVasmvp/ly0Us/X3elY+P+GFSU6UyraRKrg0bxND8zTfS7wjE4+LhIQLLx+fh9ekpKJAGhc7OIgpuRYrutbnk08jJk9CvHzRpIvc7d65UmM2dC1WqPO7VPb0YhJGBpwZjjZppQ1rgXtserU7BWKPiQEAszevYk5qVz5S1XjSqXp6P+rpy4PxVVvwVWnhsV+dqvNyhHisOh3I8+Fqxc8clZ9GyXiV6uTvy494gwq+V/hK8E1cnO3q61WDZoYskZeSSk5CAmW35Mo8xMjPD6mGU3xh4IGRER3N60iT2vPQSsUeOAJCfns6maV+VedyS/cEoKFxJkLEbf++8/nd0ej1zt/ijVqnwfKkZfpcT+PSPs9R0sOL7N9pRt4pNYXq4gpUZUwa6o7kZvrl0LY1ZG31wq2XPB31c2Hz6MmtPhNPPoya7fa5gYqQmYP/aEkVRaqpEhObNkwGux47J3Kvu3aWXzrZt0t/mTrZsEQO2o6NUczVtWvI9RUeLWXvCBDH+vvmmRGsGDSp5LMiD4uxZGXI7daqk/y5ckDTVs4heD9u3S0+p9u2lRcKvv8Lly1Ld96hqHyIjH811HgcGYWTgqcJYo2bG0BY0q2WHVqdgolGz79xV2jWoxNWkLKav96Zdw8q8+Xwj1p+KYOvZ2397X+lUj85NqvL19nOExt32+yiKwlfbzvHu8hP0cK1OTQcrZm/2Iyu34J7WNKZbI0yM1Pz4ZxDVOnakz57d1B85EpWm5LKX6mPGoX6UA5geIcOGDaNv376sXbv2cS/lvsmKi+Ps9Ons6tOHyB07is3DUw7vJiOm5GjiqdB4jgTFkZOnJa9Ax/u9nQt7C5XGb4fDCIpJYfJAd8pbmdLUsQKvdqrP3JdbYWtpSr5Wx8wNPmTnafl8mAeWZvJnJjY5iylrvHC0t+azQe7sOxfDskMX6elWg4MBsWjUKgL/JopA+hSlp4v35MsvRdwcPiyRlo4dRUwcOlQ0taMosu/AgVI5dvhw2b1uPvpIIkSXL0tp+MqVktr57beHUxafkSFCqE0b8UF5eUnjRguLux/7tJGXJwKoSRPpTq3RiD8pMFAact7pA3vYxMdD/frw+++P7pqPEoMwMvDUYWKkYeYwD1yc7CjQ6TExUrPHP4YuTasSGpvK7M1+9PFwYnCb2izZH8yRC9KFWKVS8WFfF+pULseM9T7cSMsp/HxS/2ZYmhrx8e9n6NykKmnZ+czfGVCiJ+nvWJsbM65HE05ejGfBjvNorKxoMWkSvXdsp/rfutWlV6+HS9/H2E3uIbNu3Tp27NjB8OHDH/dS7ptTnp5EbNqEUsqYF5VOS8B33xX7PPBKEnM2+QEwuE1tFo/tQJMaFcq81pmw62w4FcHrXRvg7Cj7mpsYMax9XYw0ahRFYeGuQMLi0pg+pDmVb7aYSM7MZcoaL6zNjfl8uAdnwq7z/Z4LdGlalVOh8bKeAyWLoqwsmDxZGvm1by9m5Ph4ETApKeIxatPm9lH5+WKSnjRJ+v+sWQPm5nd/jtu2SfQmPV1mbY0Z83D8Pbt2iUhYvlyiX2fOyD2NGyeC7lkhLU3EXq1a8iwbNJBU5rFjImIfVu+jsli2TIbJ9unz6K/9KDAIIwNPJSZGGj4f5oFzzQoUaEUc7faNpptrdfwiEvhm2zlGdWnA8y7V+Wb7OXwvJxQeN2NIC0nLrfMmO09egpXLW7BgVFs6NanKskMXaVTNlpMX49nmFXVP6+nUuAo17C3Zd/4q4385wcXYFMo5OdHxu+/otmoVdi4uALhM/BD1XX6TRe7aRfS+feh1ujL3M/BgafLmm2VuNy5XDjtn50KxnJlbwA97L/DRqjPo9Aozh7Rg9HONSh3hcYv41Gy+2X6e1vUqMqhNyWVSa0+Ecygwlg/6uBSKrKy8Aj5b402+VscXI1oScjWFr7edp02DSvhHJqLV6blQgiiytfUkL0/SLLNnQ+/ekoq5cEHSMZaW8qJtfMdItqQkSa2tXi0+nXtpPlhQINcYMEDMz76+4OZW9jH/hPh46azdp48Io6AgaVIYEyMpQmvrJ9Nofb9cuyY+L0dHSRH27i0m623bigrYR41WKwNjX34ZbG0f3zoeJoYGjwaeanILdExefZagmBRMjNTka/X0cnfkT/9ourvVYHzPJsza6EtgdDLfvNqGelVsAJk8PvG3UzR1rMCMIS3QqOU3qaIo7PWPYfGfQVibG5OWnc+819rQuHrZviGQwZ1vLD6CuYmG9OwCXnB35PWuDShnboKiKCSeP4/DXd4U2txcdnTvTm5SEuVq1aLR6NE4vfgimkcZJ/8HPAsNHvV6Pb+8MADrq5eKfK42MaH+iBE0HTsWExubws83n7nMysOh5Gv1vN61AUPb3X0ce75Wx4crT5OWnc+PYzpgbV48pXo0KI4vtvjzSsd6jOxUv/C4qWu9uXQtjfmvtSEtO5/P1nrjUrMCVxIyyMrTEnxwXYmiSKcTr8/8+TIs9ZdfpNvywIEy2mPHDqhwR4Dr0iV5CScny0u4ffu7P7urV6VE38tLjNfvv//gxYleL9GhTz6RaMV334mRW6WSCFGfPjK6JCREPFNPIgcPSgRowIDSn8/FixIB+/13MDOTCNh774kf7Elg+3ZJ5fn6grv7417Nw8EQMTLwVGNmrOGLES1pVM2WfK0eUyM1e/2i6eFWgz/9Y1hxOJTJA5rh5GDNlDVexCbJ2AanitZMGeiOT3gCPx8ILjyfSqWil7sj80e14aZWYtYGX9Ky80u6fBEq2pgzumtD0rML6N+qFkeC4hiz+Cj7z8egwF1FEcCeH1aQm5QEQHpkJGenTmVH9+5cWLKk8HMD949eqyU5OLjMfXwvJ3LB7XaaU6XRUHfoUPru3Yv7xx8XEUUAvdwdqWRrQZ3K5UqN/PydxX8GEXk9g6mDmpcoii7GpjBvx3m6NK3Kyx1lkqdOr/DN9vMExaQwc5gHeVod09f70LCaDTFJmWTmFpQoimxsPAERQ/PmwbvvirBYu1ZExHPPSSXTnaLoyBGpPNNoxNB8L6Jo/34RWNHRkt6ZMOHBi6LQUBlaO3asvJRDQmD48NvX2bEDdu8WsfSkiiJFkR5DS5eW/HxOn5b+UI0by1Db2bMlCvbll0+OKAJYvFj+jDyroggMwsjAM4CZiRFzR7aiQVVb8m6m1f48F0N31+psPhPJlrNRzBrmQTlzYyavOUtyZi4ALeo48HbPxmzzimKnz5Ui52xQ1ZbFYzvS060GOr2er7adu2uVEUBfDyfqVbXB93ICS8Z2wL22PfN3BDB59d2rlAryC0jesq7Y5zkJCQR8/z3bnnuO05MnG/og3Qd5qakEL1/Ojp492f/yy+QmyzDhpIxcJqw4yZU7mnNamhlTycOD8i1bU7t/f/rs2UPLadOwqFzyzLId3le4mpTJhBddCqvFymL1sUvs9Y+hdf2KhZHLO7mems309T7UrWzDB31cUKlUKIrCT/uCOBFyjckDxAc3ZY0Mj03KyCM9O5+QQ+uLiaJy5TwxNpZqsB9+EI/QwoWwYAG8+qr8bNlS1KS8YoWkz9zd5SVdp07p95KfL8bn6dOhZ0/xFPn7P/gUT36+pPFcXKR54aFDsk47u9v7ZGVJRKVXLxEWTyoHDsC5c5Ieu4VeL16pDh3E63Xxovh3IiNFRD1pwddbbRDGjXvcK3m4GISRgWcCcxMjvhzZinpVyok40qg5FBhLl6ZVWXU0jEOBsXzxciu0OoUpa7wLK876tHDipZZOLP4zCJ+IhCLntLEw4b3eznj2b4ZfRALrToTfdR0atYoJvV2IScziUGAsnv2b8dXIVrRvVPmuVUrnN27FJC2x1O36ggLSL19G87A64z0jKIrCDR8fTk+axLbnnuPcggVkX7uGPj+fU8tXATLB/sqNTOytzQqPa1y9PJ8NcqfHsp9pPXs2VjeHBpdEXHIWfxwL46VWtUoUOX9fz6+HQlh1NIxy5sb8r1ujYvtk5RUwbZ0PpsYapg9pXuhTWnsinJ0+V3i3lzM1K1ozebUX9tamZOdpSczILVEUWVt7YmEhImfZMkltzZwpL9qPPxYD9rJlt7tV6/VisB49Wqqb9u69u3fk7behenWJasyaJRGOB90v6PRpEWkzZ4qHKDDwdm+kO5k9W2agff/9k+0t+vJLaNFC7iE/Xyr1nJ0lenerBD8oSL6HJ/Wv+Jo1IqYHDnzcK3m4GISRgWcGC1MjvnqlNXUqW5On1WOkVnEsOI72jSqzZH8w/pGJzBnRkhtp2czY4EO+VszNY59vTIs69szZ7EfUjYxi521ex4ERHerx+9EwzkWVLlxucSu1suZ4ODGJmbjVsufFOxpDlkaliuWxLONlDFCp/zM0wvohcHHlSnb26sXB114jcscOdLm5RbZHbdxIekYWu3yv0Ku5Y2EJ/J2oNSJKAq4kERZXfIyLoih8tyeQ8pamvHbTA1QaGTkieNafuoy1mTHL3+5MJduiteS3+hndSM/h82Ee2FrKW3GvfzQrj4Txaqf6tKjjgOcfZzE30aAgBu7Qv4qLIisrT2xtZfzD2rWStnn/fUmnLVggYzzmzLktILKzxcj81VfiQVqyRPw7ZfH555KSUxSJgnz22YOtjEpPl87Nt4zhfn7SsLCkirjgYEkTTp785I37uBMvL2l18N578j3Uri0itG5dqQY8eVLaITyOCrP7QaUS4fakpisfFE/412DAwP1haWrMN6+0oVbFW+JIzZnQ67SqV5GFuwKIScxkxlAPLsam8vW2c+j0Chq1ikkD3KlkY8609d6kZhVPVb3csR6uTvbM3eJPUkZuCVcuysiO9bAvZ8aiPYH3VPIPUOP55+mzezdtv/4am3r1im0vsLShYd/eZZ4jPSqK5JCQe77ms0bShQtkRkeXut0sK5W9v24kv0BH/5YlD+qKTc5i1gYfPl51ht1+xc91MCCWc5FJvNurKWYmpY9ovxibyju/HMcvMgFjjZp5r7WhnEVxE/3S/SH4RiTy2UB3ajrI+PrToddZtDuQPi1q0su9BpP+OIuiKJibaIhNyiLs8IZiosjCwhN7e/Go7NolFWUjRkhEYv16WLdOfEa3uHYNOnWSCNG2bRKVKSvioigy7mPaNIkOhYSUHMH5N2zbJutfuVJSf6dOSRqtNCws5EX9yScPdh0PmpkzoXx5ef6TJkk0LyjodqPGp4VJkyQy96xjEEYGnjkszYyZ91obnBysyNPq0ahV+Ecm4upkz5db/cnN1zJpQDNOXoznp31BKIqChakRs4Z5kF+gLxJNuoVGrcKzvxsatYq5W/zR6fXka3UliigAU2MN7/d2JuBKMvtKGTFyJzGJmQCojYxw6t2bXlu3Umv2PGKq3m4VbNK1F2bmZqWdAoCQFSv4c9AgdvXuzfnvviPpwoVijQqfZar26XvXfWIOHqSrczXsyxV9lqlZeSzZH8zYn44Sei2NT19y4/3ezsX2+flAMF2aVsWjbumz0Pafj+HD306hUoFWp/B+b2ecKloX22+HdxTbvaN4u2cTmtdxACAoJpkvtvjRtkFlXulUX1K/eQWUtzIlKiGDS0eKiyJzc0+qVYMaNcRAvXUrdOsmwuXUKRE/Q4bcPuL8eZlddu2aRCz63uWxpaTIPl99JWm20FAZIfKgiIuTSq3+/aXEPzhYoiuasjsf4OQkUbEnNfUUGirPfc8eyMmB//1Pml/++mvR9ggGniwM5foGnlkycgr44LeTRCdmYWqkRq1SUadyOS5dS2POy62ISczku92BvNqpfmEF0MXYVD5edZq2DSrj2d+tcC7VLQKjk/lk1RkGtamNkVrFn+di+LifG+61SzZYzNtxntOh8Swb15nyViX/9o5OyGDskmO413FgVOf61K962+DxwW+nMEm+zuC8izQcMwZLB4dS77cgL4/NnTqjz0gv8rmZnR1V2renaseOVGnbFpOH4Oh8mOX6ep2OpIAA4o4dw6ZePZx69Sp1X51Ox6r2XTBNL17BV6lNG7Lb9uTHGFOWvt25MDqTkVPAptMRbPOKQq1WMbhNbQa0ro2ZcfG38tfbzuEVfoNl4zoVprxK4kJ0Mrt9r3DiYjxdnasx8cXiYQ/v8BtMW+dNv5a1eKu7vCWjbmTw4cpT1K5UjqmD3Jm+3pcrCRk42lsRFpdK+NGNxUSRmZkntWpJ2uniRanQqlULevSQuWZ79xatINq1Syq66teXfe8mcHx9xcR97RrodJIWatas7GPuFb1eBp1++qmkyhYtknltT7JX6F44c0aaMm7bJvel0UgbhLK6hht4cjBEjAw8s1ibGzP/tbZUq2BJnlaPTlGIvJFBzYrWTFvnTb0qNrzWuT6rjoax52bKpGE1Wz7p58aRoDj+OHap2DmdHSswumsDNpyKoEoFC2o6WDNp9VmWHQyhQFc8MjO2WyM0ajWL9wWVus7q9lZMHujOjdRs3l1+klkbfAq9ToPb1ME/ywSzkW+WKYoATm4/UEwUAeQmJRG5fTsnP/yQK3v2lHmOWxw7dow+ffpQtWpVVCoV27Ztu6fjHgS6/Hxu+PoS9MsvHH7zTTa3bcuBkSMJ+vlnLm/dWuaxP+0PIcTxtgowsrGhwSuv0Hv7drr88gs78hxo1aByoSgq0Ol5c+lRtnpF0c/DiZXjuzCiQ70SRZFvRAKHAmMZ+3yjMkURQK1K1oTGpVHDzoq3ezQptj3qRgZfbPbHo27FQjP2jbQcpqzxoqKNBVMGuDN36zkuX0/DqaI1oaWIIlNTT+rXlxdvRIRUbdnZSYWTTifRoluiSFEkPdWvn5TqHztWtihSFPjpJzmXWi0jKb7//sGJouBgGUUybpxEVUJC5L9PqyjS66VlQMeOUp0XFCSiLzxcKrkMoujpofQEuQEDzwDlLEz49vW2TPj1JHEp2QBcS8mmko05U9Z48c0rrUjOzOP7PYHYWpjQtmFlOjSuwqjkBvx2OJRqFSzp6lz07TGoTW0uxKSwdH8IP4xpx4mQeFYcDuV8VBKe/ZtRzc6yyPXf6t6Yr7ad4znn67SuX/y3o1qlomPjKrRrWJm/AmP541gYby09RuemVRnStg6O9lZsOHWZmUPLHjMRsGUndysMqtKhQ5nb0y5fxsjcnMzMTFxdXXn99dcZ+AhLUKL37+fUp5+izy+5b9S1s15kpKZjbVtyVKp1/Uo0HDcK1Zoc6g0cQLUuXQqbY54OvU50YiYTXrydHjPWqHn3BWcaVLOhglXpacrcfC3f7QnErZYdz7uUbZBXFIVvdwaSkpXHD2PaY/o3kZWSmce0dd5UsjXHs38zNGoV6dn5TF59Fo1GxcyhzVm0J5CAqCQaVS/PhehkLh8rLoqMjT1p0kTMypmZInSSk8W/Uru2RIpuvYwLCiQ1tWSJVKZ9+WXZRt/MTOkZtHatGKEvXJDU212ag98TeXlipv7iC4lsHTkiXqenlfx8eU7ffCNiqHVrSWXeaaY2TLp/ujAIIwPPPDY3xdH7v54kPlXmo6Vk5WFlZsykNV7Me6UNqVl5fLHFn7kjW+HsWIFh7epwNSmTBTsDqGRrXmT2lUql4qO+rryz7DhfbPZn/qg2uDrZMXerP2//cpzxLzSlm0u1wjRcl6ZVORgYyw97L+BS0w4L05L/2mnUKp53rU7nplXZfy6GNSfCOXwhjk6Nq3A0+BrRCy5LSQAAIABJREFUCRk4OhT3qQAoej2Vr4VS8pQvIbN8ZUwqVebXQxdp06ASjUro5u339ddcO34cjZkZbapXxyolBYCrf/1FpEaDg7s7VmWEGRS9Hm1uLvr8fHR5eeSnpZGbkkLezR+bunWp2Lx5qcdbVK5cqigCmVcWfvQEzfqVnE5rUccB6jhA56XFtm08HUHj6uWLzTFr0+Du/5RfdTSMlMw85r7cqlh69e/s8I7ieMg1pg5yp1qFopNT8wp0zNjgQ4FOz6xhHliYGpGbr2XaOm/ScwqY/1obfjscxumw6zR1rEDAlWQiSxBFRkaeNGsm3hyNBo4fh4AAMVu3aycv5lsZzdRUicQcPixdr8eMKfteL1yQdNbVq2LYHjpUxExBwb+P5hw/LoIrPFyM3FOmSHfnp5GMDHme334rz6p3b4mwtW//9Ea9DAiGVJqB/wS2lqYsfL0dlWzMydfqyc7TkpOvRaNWM3mtF2Oea0TjGuWZsd6byOvpqFQq3u/tTINqtszc4Mu1m9GmW1ibGzN1UHMib2Tw84EQ6le15ccxHejQqArzdpxn1ZGwwn1VKhXvvdCU9JwCVh4JvetajTVqejevyW/ju/BRX1eGtKuDnbUpm85cLvUYlVrNgL17aDd/PlWfew6VcfHqp0rt22OsUXMg4CqnQ6+XeJ7EIOkOrcvNJS08nNgjRwC4vHUrpz09SfD3L3Pt57//ng3Nm7OpTRu2du7M7n79ODRqFCcmTsR71iyidu0q83jLWrVRKPutUnDOu8ztf0evKATFJBMUk8Lgtvdf033pWhpbz0bycod6hUJHURSiE4q3drgYm8LPB0Lo36oW7RsVDRPoFYX5O84TeT2dmUNbUNHGHK1Oz5wt/kTeyODzYS3Y7h3FocBYnB3tShVFGo0nLVtKsz0rKzFPHzwoYqZfPzH63hJFkZGSCvP2lgGrdxNFv/8uXY2NjMDHR0QRiLn535Rop6ZKtKljRzFv+/tL2f/TKIquXxdB5+go3qiuXaXH0q1GjQZR9PRjEEYG/jOUtzJl4ei2OJQzI1+rJyOnAEWvkFegY9p6bya+6EwlGwumrPXiemo2JkYapg1ujoWpEdPWeZN5synkLepVseHN7o3Z6XOFIxfisDA14qN+rkwe0IxOTYr28K9c3oJXO9Vnu1cUF2OL98YpCWONmuddq1O3sg39W9biUEBsma0CjCwsqNmzJ50XLWLw6VN0+ukn6g0fjkkleUG79O6BSqWSSER0cXPy9eg4CpLvMnbEsuSI1S3Ud2mCE3Ox7CaZ2RihtS+50zSAyvTe3qSKonA+KonZm/yYt/08G05dxtHeqsRUZlno9HoW7gqgpoN14diPpIxcpq3zZvzyk0WqEtOz85mz2Z96VWx447mGxc71+9EwjgZf4+OX3Khf1RZFUVi4KxC/iASmDWnOqdDr7PS5gmtNO85fSSpRFKlUnrRpI/6catXg6FHpKTRunKS81q69XaF16pSInPx8MQOXVVp/q2Lq1VdFYJ09K1Pc/y2KAps3SwXWmjXiUTpxApo2/Wfn+uknqZB7HFy6BG+9BTVrikl89GipMFu58p/dz9PCokXSbPO/hEEYGfhPUcHKjO9Gt8Pe2owCnZ7U7HyMjdSkZObxxWZ/Jg9shrFGzeQ1XqRl52NjYcLnwzxIzsxlzmY/tH8zWL/Y3JHOTaqycHdAYcl9pyZVSyzN7t/KiTqVy7FwV0Cx89yNXs0dMTHWsPVsZLFtJYklI3NzqnXsiMdnnzHw0AF679yJY6sWgBjIw+LSyM0vmnjbv/v4XdeRrimhyx4yzBfgYnzxKMqdpEaV3mMIRDxctbhdBq9Ta7Bu6kKjN96gy88/M+T0KVpOn17q8Vm5BWz3imTskmN88vsZIm+kU7m8OWfCrjOoTe27dh//O1vPRhERn86EF10w0qg5FnyNN5ce49K1dKYMbFZowtYrCl9vP0duvpbJA90x1hT91Xoo4CprjoczumsDOtyMJP36VygHAq7yUT9XIuLTWXcyApeaFUoVReBJx47S8LBJE2muOG0azJghfp3vvrvtaVmzRoRQo0Z3Fznh4RJV+uMPEVm//VZ0VMg/5epVmWs2aBB4eIi5evz4u5fgl8aePdJx+9ixf7+2+8HbW+6hQQNJUU6bJnPh5s+X9gjPMikp4kkzCCMDBp5x7KxFHFWwMqVApycpIxdLM2OuJmfx3e5AZgxpQUZOAVPXepObr6WGvRVTBzfnfFQSi2/2PbrFrZSbnbUZszf5FQqEktCo1Ux40YUrCZlsLiMtVhKWpsa82Lwmu32jC8eZAKTn5DPqh8N8uPI0hwKukpNf3GWkUqmwqV270ITsUtMOnV4h5G+RK03clWLH/h2nOiUbj2OTRBR+8PN3vB0aypSICOZHRzM/OppTaWmF+5lnpaDXlu6EGt6+Lv3fHonLe+9xts/7ZM1dSZ/1a2n2wQdUadeuxHEoiqIQcjWF73YHMnzhIZYeCKGmgxVfvdKKZeM6kZiei521aTET/d2IT8lm1dEw+rV0oloFS77c6s+czX64Odmx9K2OtKp3O/q04WQEPuEJfPKSGxVtiorHC9HJfLsrkO6u1RnSVgaQbTkbyYZTEbzZvTHZeVqWH7pIU8fypabPwJMuXeQF1a6dNAYcO1Y8LsuXS+O9W1PmZ8yAl1+WyfP79xedK/Z3tmyROWdZWRJVGj36vh5Rieh08OOPEiXy9oZNm6Rs/S5N3cukoAA+/FAGyd6t59KDQFHEvN6li5jOz58X4/qVK9Jlu3xxe94zyebN8uyHDXvcK3m0GISRgf8k9uVEHJW3MkWrU0hIy6G8pQmhcan8ejiUmUNbEJ2YweebJErk5mTPe72asts3mq1eUUXOZWFqxNRBzbmWms0Pey+Ued16VWwY0LoWfxy7RGxy1n2t+aWWThTo9OzyvR11sTAx4uN+bqhV8PX28wxdcJAvt/rjdelGqVEpRwcrypkbE3ClaNqs37iRtPnqK5q89RaVu/fErEFjVNZF54BZ2ZfxlgVG9hnD4gYNmFOnDh86OvKhoyNt75xKr9ORHR9f6vGVbC1o3KcXDkNf4aJlNZzr3r2cJyE9lwkrTuF16QZD2tbh9/e68tmg5rg52ZOcmcehgFj6t6xVLIpTFoqisGjvBcqZG9Owmi1jlxzFO/wGn77kxpSB7tjc0cH6fFQSK4+EMrx93WJNH+OSs5i5wYdG1W15r7czKpWKwxdiWbo/mCFt61De0oTv91ygcXVbLkSnlCmKjh0Tg+/vv8usqj17JIJxS8zk5oogmjlTxn6sWFF648P8fJg4Uc7Tvbv4iVxd7/nxlMqFC2I+Hj9ejODBwXKNf+u7WboUwsJknMbD9PAUFEjkzNVVhtJmZYmwu3hRhOi9eKKio+V5PgusXi2Rx6pV777vs4ShKs3Af5aKNuYsGt2Od5efIDUrn/jUHKpWsMDvcgLmxhqmDHRnxnofFuwM4KN+rvRs5sjVpCx+3h9M1fIWRfwqThWtea9XU77Zfh5nxwr0cCs9xm5raYKVmTGLdgfy5ci7Vzndws7ajOdcqrHNK5L+rZwwMdJgpFHTsXEVOjauQnxqNocvxPFXYCyHL8RhY2FCl6ZVeat74yLXUKtUODtW4EJ0cpHzW1atSq2bvwEzMzMJD7/pB2rWDIdRo6ji7Ezs9es4OjqWusaBQ7pToXVNjExNURsbY2JtjWn58kV+zMoKYdwk4Iqszdmx7BYFcPN7fKMddSvboFEXfZZbz0ZiYvx/9q47PIp6i57d9J5seu+kBwihhRYEpDcp4ntKFRVRAfVppCgdREWUJoIoKjU06R0CgQDpPSF909uml82WeX/cFMLupkCozvm+fISd3ZnZ2YHf2XvPPUcJY3opPmd5uB6Xh/C0Ynw0ygMbT0Shr7MJPh7jCWPd1tUgQXU9NhyPhJetId5+JDetul6Erw+FQkdDFSum9oKKEhfhacX4/p9ojPC2gruVPlYHRqCbhR4ScsrbJEXXr5P+Z80aIjLZ2SS4boqTKCqitlVkJHDkCOmEFCE7m0TVYWHUfvv44xayERJChOubb1pCZjuC+noKc/32W8r/unWLCFJXoLKSqmBz5pAr9tNAdTUF627eTNdn9GjSQw0e3HkitnkzEYrcXEBVdgbipUFOTouG7d8Glhix+FfDRE8DP80dgI9/u43K2gbkCWphZaiFW4kF0GgUU288EQWethreHe6GucNckSuowYbjkdg82w+OZi1+OsO9rRDLF2Db+Tg4mem12tYEKcMgIr0EgmohBNVCnA7PwgRfuw6f79R+DrgYmY1rsbkY1bP1Ym+mr4m3BjphxgBHpBdW4lpcHooq6uQSL09bQ+y9moQGsaQ5yf1hhIWFYejQoc1/X7p2LQBg1qxZ+OOPPxSeH8/LCz2nKHam7iji+ALYGetAQ00Z8dkCmRH7R+FiIRsHX1MvwtlwPsb52kJLrZ1k1IdQUduAXy4lYLC7Ocb3toOzhR5cLPRlrmNT+CuHg+a4mCaIJVKsORqOspoG/DTXD7qaqniQV47VgeHwcTDCUE8LfHM4DA6NRpCKSJG/P5Gijz4icfXgwdSqunWLdEYAeeeMG0cC6qAgav0owoULwNtvk4bo1i0SZze/7wqq8pibEzHqKIKCqJqSkUGBsgEBXRvRsWULEZdVq7pun00oKiICtH07jd+/9Rbw+edt57O1hZoa0mgtWPBykyKAhPyqqhTV8m8D20pj8a+Hmb4mfp47ADoaKpBIGWSX1MDGSAsXIrPxIL8CH7zuhsCQdBy7mw4uh4MvJ/WAlaEWvj4cKiN8/nCkB6wNtbH2WDhqhCKZY3E5HKz7Tx98MsYTSlwOdpyPx6Wo7I4HzRppo7+LKQJD0iFV8BoOhwNHMz3MH+6GZVN85D7H24YHkUSKpJxylFTKirf9/f3BMIzMT1ukqCtQL5IgOrMUt5MLUCMUYfr3l/HpHyFyz7E9nI3gQySRYlIfu0697tfLCZBIpVgwkmI6XC0N5JLLP288QBxfgK/e6NnKHJJhGGy/EI/YLAFWTPOBlaE2cktrsPxgKOxNaLptdWA4LA21kFpQqZAUDRpE5ofLlhGZGTSICM2dOy2k6OJFEk7r6FBUhyJSJJEAK1ZQe6hPH6osPUyKGIYmrgQCEm53pFpUVkbj//7+gLEx6XC++aZrSZFAQCLnBQueTKP0KNLSSMhta0s+RLNm0WN//vn4pAggMlFZ2TVGmM8bBw5QALGeXvvPfdXAEiMWLACYG2jip7kDoK2uAinDgF9SDXsTHRy/m4EaoQRv+jni18uJuBabC3VVCpwFA6w8HNZKcK2mooRlU31QXtOAH0/HyCU8XA4HY3vZYuu8AVDicvDD6Rh8fThMxitJEab5OSKntAZ3FXgRdQT2prrQUlPG7eQC/Penq5j58zVsOB6JQ8GpCEkuRJ6gRiHx6mpU1Ymw/UIcPvntNt7YdBFf/HUXVXUi6GioYPoAR+yYPxCGOp1bbRvEEpy4l4FhXpYw1Om4WU5EegmuxORi/nC3Np2w76UU4tDtNMwe6gJv29atweP3MnAugo9FY73Qw84IpVX1WHrgHnQ1VDBvmCtWB0bASFcdmUVVCkmRnx9VdDZtIkI0bFhLi6ppEmrnTtIcDRoE3L5NvjryUFhI7bf166nddeaMrCD777/JzHHXLgpmbQsMAxw+TBNvgYEkSr55k/7e1ThwgEjdV191zf6avJm6dSPt0PLlpAn68UfF16+jYBhgxw4in+1dwxcdaWlAVNS/T3TdBJYYsWDRCEueFn6eOwBaasqQMkBmcRXsjHXwV9AD6Gup4vXuVvj+VDTC0ophqKOOVW/6IqukGptORrUiEZY8LXw23hu3EgvwT2imwuM5muk1x1Mk5ZThvV+CcDk6p93zdLcygKcND0dC0jpcaXoUSlwOPGx4SC+sxPKpPhjgaoaiijocvpOGlUfCMGf7DUzaeAELd99CVZ1s5eth1NSLUCOkSbOqWhEKymvBL65Can4FYvkCPMhr27dJTYWLqIxSWPA0sWCkB+a+RrPl6/7TB28NdIKjmV6HdVhNuBabi7JqIab0b9/QUVBN1ah6kQQ/n4uFt23bGrHC8lpsOhmNvs4mmNY4ZdaEkORC7L6ciOl+jhjZwxo19SIsPxgKsYTBJ2O9sO5YJLTVlZFbWqOQFPXpQ1qfX34h0eu4cVSVacpBk0iAxYup4vHRRzShpqPAXurmTco2i48nTdLSpbJRINnZtJ+mSba2wOdTFWHGDNI3JSZSdaSteJEnwcKFVN0yMWn/uYrAMFRZGzaMbAPCw6l1lpVF1The+zK2DuH+fTrXDz/smv09T2hpAatXE6H+N4LVGLFg8RAsDbXw09wB+OS326htECOzuAq2RtrYdTkRi8d6oby2AWsCw7FpZj+4WOjjq8k9sepIGP64loy5D5n6DXQzx+S+9th9ORGulvpwtZQ/3zvc2wrX4vKQXVKNYV6Wcv2P5GFafwd8czgMcdllHRIoy4O3DQ9/3UxBv26mzd46DMOgtEqIrOIq+imphqZa28Yz2y/E42IoBe6uCgyHsnprE5w+ziZYM6O3wterKith94KWsKyfz8XCiqfVZsWmLUgZBoEh6ejXzRQ2RortmgXV9dhzJQl3kgvw24f++Od+Jkoq67FmRm+FREwkkWLdsUhoNerPHvZFSiuowMYTkfBzNcOc11zQIKb4j6KKWiyb4oPv/omGEpfCYuVlnwEU8xEeTuLd/Hxqb82eTWGkKiotOpgLF6g6sWCBgmsgpeyuZctIBH3woPy8LqmURM26usC2bYqvqURC25ctI+fqEydI7P20weEAzs6P91qRiCpamzZRm8/Xl/4+efLjeym1hR07qFI0cmTX7/tZw8yMWq//VrDEiAWLR2BtpI2f5vrhk723UdcgQVZJNWyMtPDzuVh8PqEHqmobsOJgKDbP7o/+LqZ4d7gbdl9JhKWhVqtKw7xhrkjKKcPaoxHYMX8QdDVl1ZgcDgefjPHC+78EgcPhwNm8Yw39Ps4msDHSxtE7aY9NjLxseRCKJEjJr4B7Y24ah8OBka46jHTV0cvRuEP7mdzXHiZawLX1wJzXusHN3gJqykpQU6EfQ+3OtcFiswTwtmt/ck0R7iYXIqe0Bp9NkD9/LhRJcPxeBg7fToWKEhcLRnqgrEaIwJB0vDPEGdZtkKndlxORXliJH2b3h65Gy+dJbthhsDHSxheTeoBhgE0no5CUW46lb/hg+/l4iMQSVNaJkBYknxR5etJ4+7Fj1Br77jtqIa1bRwShqVqTmUkp7ooWYIGANDNnztDrV69WrBnavp0qUZcvE+GRh5gYcsUODaVqyPr1LZEjLyJqamiSavNmqgqNGkW/Dx369Eb9S0upvbhq1dMhXSyeLdhWGgsWcmBjrIMtcwZAvTEZnV9SAwueFjafjsbkvvbQ01TF0gP3UVpVjyn97DG6pzV+PhvbyhtIRYmLpVN8IBRJsOmfKIWaHXMDTbw9pBtO3s9ASn6F3Oc8Ci6Hg2l+DribUoTMorbdphXByUwP6ipKiM1qJwakHTib66F7o87Gw5qHXg7G8LThwdlcDzZG2tBS7/hEWHmNEPyS6scmewzD4EhIGjxteM1k7+FtN+LyMH9nEP4KeoDRPW2wd+FQDPe2wk9nY2FtpCXTGnsYNxPy8U9oJt4b4dZqCq6+QYxvDocBHGDlm75QU+Zi58V43E4qwJJx3vgr6AEq6hpQXS9CatARGVLE5QbAxYUIz+nTRIy++450L+vX02LeJKyuqCDxtSJSFBoK+PjQc86epde3JaQeOJCONXy47La6OiJWTQaQt29T1ehFJUXFxeRKbWMDfPopvbeoKDJqfO21p+9/NH9+1xhksnj+YIkRCxYKYGeigy1z/KCmTP9MckprYKKngR9ORWOmfzdIJAyWHbiPWqEYH432hKctD6uOhCOn0QUaIDuALyb1QFhqMQ7fTlN4rDf62sPORBc/no6BRCrfmFEokqBB3CL0HuppCSMddRwN6ZyLdhOUlbjwsDZA7CN+Rs8TTefiZft4xCg+uwyJOeWY9oi2KDW/Akv+uIMNJyLhYKqL3R8Mwfuvu0NHQwWnQjORkleBxeO8FZpA5pRW48fTMRjibo7xvrbNj0sZBptORiG7pBqr3+wNQx11HAxOxemwLCwY6YHTYVnIL6+BUCTBgxtHkHK5hRRxOBugrBwAW1saGz99msjQoUMkOl68mJ539CgwZAjg4EAEqWki7WEwDFV/Bg4ETE0pNmRMB1wTevak8fRHce0aTWdt3kyTZhERQP/+7e/veSA9nbRINjY0wfbOOyQebjJqfBYwM6Oxf+OOFVlZvOBgiRELFm3A3lQXP84ZANVGcpRXVgsDbTVsPhWD9193Q3FlHVYeCYOUYbBiai8YaKni60NhqKxraN5HbycTvDXQCX/eSEZUZonc4ygrcbFknBcyiipx/K5sHhoABIakY96OIFyI5EMilUJFiYvJfe1xPS4XxZV1j/X+vGwNEc8vU0jGnjViswQwN9CUMVLsKI7cSYONkTb6OLdW61bUNUAokuLbt/ti5Zu+sDTUAkB6nz+uJ2Ocr61MhakJQpEEa49GgKejhsXjvFvpj/ZeTcKd5EJ89UZPOJrp4lwEH/tuPMDbg50Q8qAQ6QWVkEqA5OuH5ZIiMzOgtpYiM778kqbOzp4lHRHDABs2kFnj5MlEVuSJkKuqyH/oo49Ik3TrFo2hPw5KS0lzNGwYCb9jYmhy60X05AkPJxG4szOZWi5dSu3GLVse//2zYAGwxIgFi3bhaKaLH2f7NZOjgvI6aKkrY+u5OHw40gNJueXYeCIKGo1j/FV1JNAWPRTJ8faQbvC2NcTG41FyQ18BoJuFPib1scdfQQ+QJycuZLC7OVwt9fHjmVi8uzOo0eTRGmoKwmU7Ai8bHmobxEgrqHys13c1YvmCx26jZRZV4V5KEab5yYbF+tgbYfv8gehhb9T8GMMw2HouFtrqKpjzmuKU1e0X4pAnqMGKqb2gqdbSl7oQyUdgSDreG+GGft1McSepAFvPxWKcrw3SC6sQm1UKDhdIvH5IhhSpqQWAxyM9yuHDLQaJN24AI0ZQZMecObTYf/MNibHlxVHExdGk1dmzRA5++unxSAzDUJXKzY1I2u7dZCzZVvjs8wDDUP7b8OEkpg4NpUpNVhaJhTtgqs6CRbtgiRELFh2Ak7kefpjVHypKtOAWV9ZDWYmL364lYcFID4QkF2D7hTiYG2jim+m+SMwpx9Zzsc3j9EpcDgIm9wSHA2w8EamwQjPTvxv0tdSw9XyczCi+jZE2lk3xwY75A2FtqI1vT0Zhye934GnDw7kIPqrr2x6rl4duFnpQVea+EO20qjoRMgorH7uNdvRuOox01DHUUzYslsPhyJCloPh83E8txsLRHgqdsS9FZ+NiVA4+HuPVamIwKrMEP5+LwxgfG0zua49YvgAbTkTCz8UMtUIJ7j4ohKqSEhKuypIidfUAaGqS2Hn3bqr2NDSQhqdXL6rajBhBk2R//01xGPL0Mfv2ke5ITY38edqKAWkLmZnUdvvvf0mgnJhIxo1PawS/LXz9NZHARyEW0/Xw8SF9VVkZEcrkZBKEa2rKvoYFi8cFS4xYsOggulno47uZ/dEkQxFUCyGRMDhyJw3zhrnhbDgf+2+lwtOGhyXjvHAxKgeBD+l/DLTVsPSNnojjl2HfjQdyj6GhqoyPx3giIr0EV2Nz5T7H0UwPq2f0xpY5fjA30MS9lCLUNUhwMDi10+9JVVkJblYGzdlkzxNxfAEYAN42nfvazzAMbibk4XpsLib1tetQWGxlXQN2XorHQFcz+LmYyX1ORmEltp2Lw6ge1hjRvcV2ObukGmsCw9HdzhALR3kgs6gKKw+Hws1SH3qaqrgWmwtNVWXEXTkoQ4o0NQOgrEx6mE2biMyYmJBY2tmZFvp+/Wg67do1IiuPoq6OiMvs2dRyu3uXDAs7C7GYNDkeHuRzdPo0kQ0z+ZfjqSMnB9i4kWwKmlBTQ4JvZ2cikCYm5McUFgZMn965PDcW7WPxYqrI/dvBEiMWLDoBNysDfD+zPxoLRyivpWmji1HZmDHQCX8FPcDZ8CwM87bCfwY6Ye/VJAQntvxP72VriNlDXXD4dhrupch3ru7tZAJ/Dwv8ejkRFbUNcp/TdC6rZ/TGL+8Ngr2JDq7G5LQSZ3cUTYGyz8rpWhFi+KUw1lWHqX7H9EUNYgmuxeZi0d47WHcsEkpcDsb4dMy+eM+VRIjEUnw4So6SGUCNUIS1RyNgaajd6jmVtQ1YcSgUPG11LJvig9Kqeiw7eB+meppwMtfD2Qg+dNRVEHv5YKvpMw5nA7S1AyCVAl5eJHiePp0qIEFBREauXyeBs4oKcO9eS0Dsw0hJoeccOAD8/juNpWt0UI71cJEyIoIiQf73PyJZTXlrzxM//kiVn/feA0pKaPTd1hZYtIjec2Rki1Hj05ww+7eioIBasQUFz/tMnj9YYsSCRSfhbs3Dppn90JQZWlUnQklVPcJSizDaxxrbzschODEf7/h3w2B3c2w6GdXK/XmanwP6Optg08loFJbLjwH54HV3SKQMdl1KaPd87E11sbwxhuRKjPwqU1vwsuWhul6EjMLHG/vvKsRlCeBta9iuy3VBWS1+u5qEt3+6hm9PRkFFmQNVZS4m9rHrUFhsVGYJLkblYN4wV7lxIQzD4KczsRBUC7F8ig/UGi0bGsQSrAoMR61QjNUzekMiZbD0wH2oKHHRx9kEx+5mQFdDBTGXDsiQIl3dANTX09TYjBnAzJnkSXT+PI2/791LLsO+vlQ9cpBj2H3sGLXaamuJOM2e3e5bbYZEQm2ybduIDPXpQyPmISG0GCpyzn5WEAjIxPK//yUTSRsb4NtvqSKWmkpEsEeP53uOrzrOnyfCOXpjHaT1AAAgAElEQVT08z6T5w+WGLFg8RjwtDHExnf6Nf8DqhOKkVNag+ziavR3McPGE1GI4wvw2YTucDDVxTeHw1BUQZNjXA4Hn0/sDi01Zaw7FtlKpN0EA201vDfCDVdjcxGeVtzu+VgZasPP1QzHQtIhkcpWfuobxMgtlRV0A4CbpQGUuRzE8Z/MzwgAFn8wFxMmTMDBgwc79boaoQipBRXwbEN4HZ5ejKUH7mP2tus4F5GF17wssWfBEPR2NAHDkNFkexCKJPj5bBw8rA0wWkF16VRYFoIS8vHpeO/m6TWGYfDz2Tgk55bjm+k0fbjiYCiq6kQY0d0KB4NToauuguiLsqRIXz8A1dVUkenfH/jkE3KsPnSIqkNffgnMm0c/Z8/KGi02NFCLY+pUMisMC6OqU2fw888UD7JhA4mV16yhqa6Hg2SfJ5YvJ8K3axdpib78kibMtm4F7Nv/WJ8L9u8n4ibpfJH2hcSZM9TGZS0HWGLEgsVjo7utITa80xccAAyoopCcV4F6kRhuVgZYeTgMuYIafDPdFypKXHxzOAx1DZQppquhimVTfZBeWIndlxPl7v/17lbobmeIn8/FtgqqVYTpfg7IEdQgJFm2Fn47qQBzd9zAx78F48S9jFaTcWoqSnCx1O8SndGWX/bi1KlTeOuttzr1uoTsMkgZwLsN4XVRRR2EIgmWjPfG/sXD8cHr7jDV18DJ+5kY7m3ZoQiRg8GpKKqow+KxXjJibABIyi3Hr5cSMKmPHQa5t2RoHLqdhssxOfh0vDdcLPSx9lgE+CVVmNTHDn8FpUBXQwXRj1SKgA0wMAhAWRnpY0xNyYV6zRpa8Ovriex89x35Be3cSUTpYfD55GG0YweRm8OHO2+wGBpKVSIAcHUFYmPJuPHRYz1rMAy5bg8bRu9dS4tG7fl8msQzMmp/H88Te/eS/9Sr4HTd0EDaorFjn/eZvBhgiRELFk+AHnZGWP/fPuAAkDKAhJEiKqMUWmrKMNPXxLID9yEUS7B6Rm8UlNVi4/HI5oqOi4U+3hvhhn9CM3EzIV9m3xwOB4vGeKG0Soi/g+SLtR+Gq6UBvGx4CAxJl5loG+hmjmVTfGCorY49VxLxny1XsXD3Ley7kYyk3DJ42vAQyxc8dijtkyI2SwADLTVY8rQUPmdUD2v8MKs/RvawbnYkvxKTi/IaIaZ2ICw2s6gKR+6kYcYAR9gYy/aOKmsbsO5YBJzM9fDu8Jao+JsJ+fjjejL+O8gZ/p4W2Hw6BpHpJZja3xF/3ngAHQ3ZShGwAYaGARAIyFuotpZaRbt3U3UkP58Iz6VLFAK7ZImsbub8eTJgzMsjb6KPP+6ctoZhaHJtwAD6fedOEi4/bvZYV0EsJoLn60tj9w8e0PsKCyMvppdhwiw3lzRh8sTxLyNu3kRzVbMrwTBAUhJVAl+ma8USIxYsnhA+DsZY81YjOZICHAD3UgphY6QNNWUlLNt/H/paqlg6pSfupxZhz5WWCtF4X1sMdjfH5tPRrRyzm2BpqIW3Bzvj2N0MpHYgLmSanwOScssR98j4vZqKEga7m2Plm7449OkIfDmpB6yNtHEqNAuL9t5BbFYpKmobkF0iew5PCwzDIL+sFpejc3AxOhs8HbU29UWPbpNIGRwLSYefqxmsDBXnmzU998czMbDkaWH6ANnYDynD4LtT0ahrEGPZFJ/mybak3HJ8908U/D0s8M4QZ+y9moSrsbmY1t8RB2+lQFtDBTEKSFFpKYmsExOpRXb8OAmdIyNJ41NYCAQHk9ao1blKiDyNGdMiOu5syystjTRLs2eTlujgQSJoz1O0XFtLlS8XF9JZ8XhEDG1sgDfffLzJuueFQ4fIL2rKlOd9Jl2DM2cAKytyO38SSKVUkdy2jSYuzczIG2vhQtKKvSxghx1ZsOgC9HYyxuoZvlhxKAxiKQMVJQ6ux+fh9e5WuJ9ahK8PheHbd/piwUgPbL8QDytDLYztZQsOh4Ml47zx8Z5grD0agS1zW/LZmjC1vwNuxOdhy9lY/DTXD0ptGMz0cTKBnbEOjtxJg5et/LF3HQ0VvOZlide8LCGRSpGYU45aoRgrj4Qhhi+QW01pEEuQU1oDQx116GqotCuQlofMoirE8kuRVVyNrOIqZBVXt5q681DgPK0Idx8UIkdQg/9Naj/34Ux4FpJyy/HDrP5QVZbtfQTeScP9lCKsmdEbJno05lVUUYeVh8PgaKaLzyZ44/i9DASGpGNyXzscv5cODVUluaTIyCgAJSVEbk6fJvPBy5dJeH3qFLXVXF3pdwuL1udRUEDbg4JID/TFF53zExKLqS23ciW1ovT0SEw7fXrH99HVKC0lQrR1K/0+fTql3Pv40PbBg4HKF8NftMPYv5+qK3ody3x+4XHhAhHxzv6zlkiA6Gi6X4OCqLIpEFCbtk8f0s0NGQL4+T1/gX9nwBIjFiy6CH2cTbFyei+sPBIOkYTI0aXoHIzpaY3r8XlYczQCq9/0RU5pDbadj4eZgSZ6ORhDU00Zy6f6YNHe29h+Pk4mFV5ZiYvF47yweO8dnLyfiSn9FLeNOBwOpvZ3wPenopFZVNXKlFAelLjcZsGzs7keYrMEGNdLNk8hu6QaH+4OBkDhuDxtNehoqEBVWQmqylxUV7c/0XYhKhunQjNhydOCrbEOJvgawtlCDyKJFGsCIzDTv+M2ywxD/lFeNjy4WrZNqIoq6vD7tSSM7WUjV9wdk1WKP64nY8YAx+YokVqhGF8fCoWqChcrp/siOLEAv15OxMgeVrgUlQ0VZS5iLh2UWykqKSEt0e+/k3bj1i3yCvrhB9L6TJ4M/PknaWoeRlAQVVIA8jAaMqTDlwMAtaLmz6cYj8WLKSrk0CE67vNAVhaN4O/eTS2VOXOAzz6TnbhTU3u5BL+JiVTFW7HieZ9J14BhKHS3I4J+kYhE+zdv0v0aHEykVl2dhNsff0z3bb9+HbeReBHBEiMWLLoQ/V3MsGKqD9YcjYBIwkBVmYtzkdkY28sGFyOzsfl0DJaM90JeWQ1ViOb4wdZYB/amuvh4jBe+PxUNTxseRvawbrVfV0sDTOxjh303HmCAqxnM9BULMYZ6WmDfjWQEhqThfxM7PuPsZcPDtbhcMAwjUxGyNNTGT3P9UFolRGlVPUqr6lEjFDcG20pRW9N+C+7twc6YN8xVxoBx3/Vk6GqowMa47XbYw4jjC5CUW441M3q3+TyGYbD9fBw0VJUx7zVXme2C6npsOB4JTxseZvpTL0ciZbDhRCQKK+rw42w/pBZU4vtT0Rjgaop7D8h7KlYOKeLxSGi9di2NwPN4FPFhbk5trF9/pWmr9etbV4GkUjJ7XL6cqicHDnTOZLG6mhyjf/qJWiH37pF+5+5dSpV/tCr1tBETQ+/n0CGqqHz+OWmHXiby0xYOHGipxL0K4HDIO0oehEIKLm6qCN25Qy1RLS2qAn3xBRGh3r2J4L4qYIkRCxZdjIFu5lj6Rk+sPx6JBrEUaspcnA3nY6yPDc5F8KGvpYqv3uiJT38PwdeHQvHT3AHQ11LDiO5WiOMLsO18HJzN9eBg2nr8aJa/C4KTCrD1XBzWvtVbYTtLWYmLN/raY8/VJMzyd2luDbUHL1sSbueV1cqIoNVVlNqszEQ+yMa2dvavrS5/DCqWL4CnDU/ulJgiHAlJh52xDno7tb3aBicW4G5KEVZM9YHWI8eXSBlsPBEFAPjqjZ7NLcpfLycgLLUYa97qDaFYgjWB4fCy4SE5txxCsRQJVw7JnT6rrqZpqg0bAE9P0m0oK1OL4sYNmmKaM6f1+QkE5Gl09iz596xa1bkpp/PnafS/qIiOu2RJy7RZv3708yzAMPQeN22itoytLbX05s2TrYy97Dh5Epg4UX523cuO2loi1E1E6O5dIke6utQK/uYbIkI+Ps9/qvFpghVfs2DxFDDEwwJfTe4JABA2kqNzkXyM6G6FY3czcC6Cj9UzfCEUSbHqSHizY/WHozxgZaiNtUcjUCNsnX2mqaaMj0d7IiytGDfi89o8/qieNtBQ7Vy4rIc1DxxARrj9NNEgliApt1yhHkoeMouqcL8xLLYtrVNVnQg7LsbDz8UUA93MZbb/FfQAsVmlCJjcs3nU/3RYJk7ez8SHozxgpq+BFQdDYW2khcKKWlTXi+SSIn39ADQ0UJts7VpaOK5eBSoqSDwdHk4ao0dJ0f37tMCEhADnztFrO0qKCgvJQ2fMGJoyi42lb+/PerGSSICjR0kc/tprNG23fz85dH/yyatHigCaIly+/HmfRdegqorcxJcupelFfX2yT9i2DTAwILIdHk4E/uxZusf69n21SRHAEiMWLJ4a/D0t8MVE0gsJxVKoKnFxNTYXg93NsedKEmL5Aqx8sxdSCyqw+XQMGIaBmooSlk/xQVm1ED+ejpUZn+/XzRSD3Myx82ICKtuIC9FUU8a4XrY4H8lHVV3HwmW11VXgaKaLmKwnN3rsKJJzyyGSSOHdhrHjowgMSYORrjr8PdruEe29loT6BgkWjvKU2RaaWoSDwamY5e+C7nZEysLSirHjAnkY+bmYYun++9BRV4FQJEFplRCJVw/LkCI9vQAApO1Zt46E0ydPtkySSST0rdvfv+VVDEMLz8CB1DKLjOx4W4ZhSLvk5kZk688/abLLUXbQ7qmirg745ReaMJs2DdDWpupVZCRdg1d54XRweP6WB4+L8nIaCGhyPzcwINPQ334DLC2pyhcTAxQXAydOUAXSx+fV8GrqDFhixILFU8Qwbyt8Op5mYIViKZS5HNxJKkAfJ2NsPh2DqjoRPp/QHdfj8rD/Fs2zWhpq4dMJ3riVmI9ToZky+1ww0h1iiRS/XpFvDNmESX3sIZYwOBOe1eHz9bI1ROwzDJSNyRJAS00Z9qYdcy0sqqjD9bg8TOlrD+U2wmJj+QKci+Bj7jAXGOm27nkUVdTh25NR6ONk3Dy6n1lUhXXHIuDrZIz/DnLGsgP3IZZKoabCRX5ZLZKvyZIiHZ0AqKkBb7xBxoRffkmk5fBh+tbt6UnVoIfH0CsrSWD98ceUCn/zJo2rdwQpKbTfuXPJiC8xEXjnnWc7gi8QEAG0s6MRbB8fqnxdu0YLLJth9mKhpIRsIhYtIk8sHg+YMIHsG5ydge3b6T4qKACOHCEtmJdX5yYhX0X8y98+CxZPHyN7WGPxWBr5EIqlUOJyEJNVCjdLfaw5GgFTfQ3M8u+Gv4Ie4EYctcgGuZljUh87/Ho5EUm5Za32Z6ijjneHu+FydA6iMkoUHtdAm3RLJ+9ndDhc1tuGh8KKOoUZbl2NGH4pPG14UOJ2bEU9cT8DGqpKCuM8AGrPbTkTAzcrfYx9ZMJOJJFi3bEIaKgq438Te4DL4aC8RoivD4fCVE8Dn433xpqj4SiqqIOJrgayiqvx4PoRGVKkpRUAfX1qP+zdS9+0N2wgDcY771DV5NIlwPChDmFMDImiz5+ncfUtW8gLpz2IRLRvLy8gM5NaH3/99WzFzHw+VQ9sbMi5e/JkIDmZFtPebevfZRAWRlWL55xZ/EqioICI+cKFRMyNjclr6fRpoHt3qgylpQHZ2dTyfP99so5gCW1rsMSIBYtngNE+NvhkNKW0C8VSSBkgs7gKljwtrDgYioGuZhjubYnvT0UjIYeI0LvD3eBsrod1xyJl2majelrD04aHLWdjIWwjLmRqfwdUdCJctmmcvSviQdqDSEIeSl4dbKNV1YlwPoKP8b520FBVPDdyKDgNBWW1WDzWW0bQvedKIlLzK7Bsig90NVXRIJZg5ZEwNIikWDndFz+fi0NiThnsTXWQnFeOlBuypEhDIwDm5vSN+/Rp4O+/aersrbeINGzYQGTpYdLz++/UWtPQIM3G1Kkdu0b37lFw7IoVpNmJjSXjxmeF2FgShzs6kov2kiU0hv/LL4CT0+Ptc+3aV0ej87yRnU333/z51NY0N6eK5OXLpG/76y8itenpwB9/kM7NwYElQu2BJUYsWDwjjPW1w8JRRI4axFI0iKUora6HtroKlh8MxTuDu8HFUh8rD4ehoKwWKkpcLJ3ig7oGMb77JwrSh75iczkcLBrrhZLKeuy/laLwmJY8LQx0M0NgSJrccNlHoaupCjtjnccSYHPaqL+L5QTlpuRXQCiSdFh4fSY8C2IJg4m97RQ+J6u4Codvp2L6AEcZD6dbCfk4eT8T741wg6ulPhiGwQ+nYpBWUIlvpvfCkZA03EkqgLsVD3H8MqQFBcqQIjW1ADg60rj2vXskSB0+nITHp06REDkgoGXhqa2l1tfcucDbb5PeqCP6lKoqan/07096ndBQmvhSJGa+cIEIWVcEmjIMTSSNGUPj/03TZnw+ET9T08ffd3Y2kckFC9jFubNgGCI4v/9Ojub29lTBe+cdatkOH07Vorw8ilnZvZvuOWtr+fuTSslvK0Xxfx//WrDEiAWLZ4gJve3wwevuAIgc1daL0SCWQCSRYuWRMHw23huaaspYcSgUNfUimOhp4MtJPXA/tRhHbqe12peNkTbeGuiEwDvpSC9UbB08zc8ReYJa3JETLisPXraUm9YRRGeWYu3RCHx9LA5+H+1sJRZvEEtw/F4G3vslCOPWn5eJNInNKoW6ihKczNrXFzWIJTh5PwOv97CCgbZ8wxQpw2DLmViY6WvirYGtyxm5pTXYfDoGg9zMMaGRWP0VlIIb8Xn4YmIPhKeX4Gw4H962PERnlSLjpiwpUlEJgIcHjS9nZVFWloUFVYIyM4lMPBwR8eABjcsfOkTf1nfv7pjp3ZkzZAi5Zw8FzN67R/oQRRCJyNDxypUn04ZIJMCxY3TO/v5ATg5VHNLSqFKk3XGbKYXYs4fI3cuUm/W88GjOmLU1Ve7mzSO36YkTST9UXAzExZFeaPp0qhp1BImJ1PrNzn667+NlBEuMWLB4xpjc1x7vDiOzQZFEiopaEVSVlVBUWYcfTsdgxVQfCKrrse5YBCRSKXo7mWDGAEfsu5GM6MzWE2PTBzjCylALW87EKqwIuVjoo7udIY7cSetQSKyXDQ+5ghqUVtUrfI5YIsXP52IR8qAQZTVCNIilSL6wu3l8Pr2wEgF/30NFjRB5gloM8bCAk3nr/ISYLAE8rA3aFFE34XJ0DiprG9p0/T4bzkdCThkWjfNqFfshFEmw5mg4DLTVsGS8FzgcDq7F5mL/rRTMHuqCyroG/BX0oJEUCeSSIi43AL6+NI4uEgG3b1O8hZ8fjTjfv99aaxMYSHqihgYiNrNmtfsWUVBAmWHjxwPu7rTYffYZeSG1hV9+IRK2efPjVWHq68l80s2NWnyammQfEB1NFYeumjBjGGr7TJ/+csVDAM9GD9VWzlhKCrVqT5+m+y4ykjRqkydT9MvjIDiYps06m8P3bwBLjFiweA6Y5ueIOa9RBIZIIkVJVR30NVXxIK8c+2+mYOkbPojKLMXOiwlgGAYz/bvB04aHjSciIahuISwqjXEhD/LKcTosU/Hx+jvgQV5FhypB3o2tLUXTafUNYqw4FAoPKwOoKnMRxxfA194AJQ/CAACRGSX4+Wws/jexB8LSiqGmwm2ukjVBIpUiIbusQ200iZTB0bvpGOBqJmM82YSSynrsvZaEUT2tm8+/CTsuxCNXUIPlU32gpaaC+GwBNp+OwQhvK1gZamHb+Ti4WxkgRgEp4nACMHAgkJBAYtY7d0jDMXYseRbdutXSrmhoIC3Q9OnUigoNbT9qQSqlSoqbG1Wh9u8ngba9fbuXBpWVZAo5dy6JazuDsjJy4bazI41U9+5E4q5fJ/uArm513b1LraCXsVr07bfAyJFdS5AkEiAigmJTJk2ie8vbm+I58vKoMnT+PH1O9+9T9XDcOBqx7wrcvk2VyFfRa+pJwRIjFiyeE2YMcMLMITTLLZYwKCivg5m+JkIeFCE4qQAfjfLA6bAs/BOaCSUuF1+9Qf2UjSeiWlWHPKx5GOdri9+vJaOook7usXwdjWFvQuGy7cFAWw1WhlqI4cv6GUmkUqw+GoFhXpbQ11bDkdtpMNHTwLie5Cm05H9f4atdZ9BDlY9/QjORWlCJ2UNdZdpfaQWVqG0Qw9u2feH1naQC5AlqMc1PsVnPjgtxUFNWwrvD3Fo9fjk6BxeisvHRaE84mOoiv6wWq46Ew9VSH0O9LPDtiSg4mOoiIadMLikCAjBkCBGGHj1oLH3DBhpr/uQT8ixqqn5kZQGDBlEFZ9s2GolurzKSnAwMHUri2UmTqL3xn/90nJRs2UKRICtXduz5ALVOPvuM9CmrV1NLJjmZqlx9+nR8P53F/v3kldPZDLgXAadOUSvxSciiSET30aZNRHAMDUlYv3QpmYF+9BEZg5aXE2lZv54sEJ5WdS04mKYqWciCJUYsWDxH/HewM/4ziPQwEimDnNIa2Bhp41wEH6XVQkzpZ49dlxJwL6UQPG11BEzuidisUvwV9KDVfua85gItdWVsOx8nt13G4XAw3c8RoanFbeqRmuCtwM/ol0sJcLfUR19nU/xwKhoMgMVjvaCuogRVbQPYDJuDfQHT4e03AifvZcDJTBdje8mO1sdkCaCqzIWzedvx5AzD4EhIGrxteXCx0Jf7nNtJBbidXIgFI92ho9HS98korMTWc7F4vbsVRvawRnW9CF8fCoWWujJm+XfDuqMRsOBpIrWgUiEpGjqUtEPjxhFxmDmTkuJ37qRv+k3Gd+fOkadPYSEtagsXtr2INjSQkNnbG8jNJX3Q77+3Hu9vDwIBBcR++CFgZdX+8+PjSbTr4EBTc598QmRu166nb1goEpEw+K23Xj6PnOJiqnaNG9e51wmFVE1ct44mCQ0MSL+1ahV9/p9/Tj5W5eVUpVu1ikT8mopjELsMeXlARgaZjLKQxUt2i7Jg8ephlr8LZjQaDUoZBlklVbAz1sbfN1Ngqq+Jvs6m2HA8EumFlehuZ4hZ/i44GJyK0NSi5n1oqango1GeuJdShFuJ8kXWg93NYaKngaMh6e2ek5cND/ySapTXCJsfuxGfB0GVEG8P6YZt5+NQWiWEv4cFejkaQypl4DX1c4ztYQ5tdRVsPh0NAPhotKfcDLTYrFK4WRm00gLJQ0yWAA/yKjBdQbWopl6E7Rfi0NfZBIPdW1SntUIx1h6LgAVPCwtHe0Lc6F8kqK7HJ6O9sP54JHQ1VJBVXN1mpej6dWozffcdmSsGBxMJ+uADeqZYTN/4x44lvVFERPu+PiEhRKJWraK2SWws7buz+O47ascEBCh+DsPQ4jx+PPnaXL1KbSE+nxbsJ5kw6wwaGqhKNXv2szleV+LKFbqO7bmT19bS/bJyJVUB9fUpFHjTJtJprVhBn315OXlcLV9OFcbnEb56+zb9yVaM5IMlRixYvACY85orpvUnYTHDAJnF1bAx0sbOC/EY5E7amq8PhaK0qh7TBziij5Mxvj0Z1ap15udqhgGuZthxIV5uDEhTuOyN+DyFLbcmeDW2uJo0SUUVddh/MwWLxnkhODEfN+LzoKWmjPdfp9ZVUFIxqvLT0c1MBzsvJqC4sh7Du1vBzUpWECFlGMRll3UoBuTInTTYm+jA11G+m+Hea0moFYrx0WjPZuE3wzDYciYGgiohlk/1gZoyF9svxCM6sxRLxntj2/k4AEBhRZ1CUuTnR5Wi1atJON2/P43Qh4S0+Ajl59OI9KZNwMaNlKHFa+MtVVZSJWnAAKoKhIdTW64jk2qPQiqltt6iRYCJifztJ08SWRs8mKoD+/bRhNmnnz578bOWFhE4D49ne9yuwK1b5BFkZtb68YdzxgYOJCL02mvA1q1k57B+feucsS+/pIrRixCXEhJCGraOTrD928ASIxYsXhC8O9wNk/vYNf+dX1INS54WfjwdizcHOEHKMGRGKJbifxN7QENVGeuORUD0kEfQwlEeEIol2HNVflzI6J7W0FRTxrG7bVeNjHU1YG6giTi+oNHvJ7pZQL3tfDwAYNZQF/C01ZFZVIWY7HKkXv0TKQVVuByTAw1VJcwZ6iJ33xmFVaiuF7UrvE4vrERYWjGm9ZcfFhufLcCZcD5mD3WBiV4LuzgdloWghHwsGe8NK0NtnLhHob0fvO6Gw7fTUF4rRFVdg1yfIiAAPj7UOtm1i1yB/f2p/XTvHk2LAeTt07MnTYNdu0aLXlstopMn6bX79lELLiSk82Lph8Hlkgj8UaPE+voWIffkyVSNOHOmxaixI07bLFrj9m0is+XldC3l5YyZm7fOGTt58sXOGbOxISNIFvLBEiMWLF4gfDDSAxN8W2IscgQ1MNRRw49nYjB/uDuyiqvx/T9R0NZQwbIpPkjNr8CehzLTDHXUMW+YKy5EZssNg1VXVcZ4X1tciMxGZZ3iEFqA2mkxWQKcjeDDUEcdvRyNsetSAspqhHA218N4X1swDIOfzsZigo8lAA5OhJHD9owBTjDUUZe73zh+KVSUuHC1lK8ZasLRkHSY6GlgiJywWIr9iIWLhT7G+9o1P56cV45dlxIwsbcdBrub4+6DQvx6ORFT+trjbkoxsoqqIBJL5cZ8cDgBcHcnLU5gIOVMTZ9OBOPaNarMSKVUCRg2jKofkZFUkVGEvDzyNpo8mcTbCQlU5emKxVJJqaXaVF5OVSt7e+C996htdvcuEbixY1kzxcdBSQnZC8TE0BQij0ctSXk5Y4GBT5YzJhYr3ibqWAZ0p7B4Md3HLOSjHYcMFixYPGssHO0JiZTB2Qg+AKCgvA5Guur49XIC3h/hhq3n4rDvejLmvOaK90a4YcfFBHha8zCoUWMzxscG12Jz8dOZWOx8f5CMjmdibzscDUnHmbAs/GeQYtWtly0Pl6JzcCg4FdveHYiozJLmaJEFI93B5XBwIZIPG2Nt2BtrwW7gFAhqGmCkq443+snOmt9MyMeJexlIzC0DwwCTvr0IZ3M9DPOygIG2Ok7cy0BKfgVEEim4HA6kDIMBrmZyfY6O3ElHrtl8t70AACAASURBVKAG294d2JyzVlUnwrqjEXA008P8EW5IK6jAhuOR6N/NBGU1QkSlF0NNRRnxVw7KNW+0siIh9JkztCDu20d6ka+/JmJRWkpVl/PnqVLzzTeKCY5USt5AX35J5OXwYfKm6WqCkptLk2m7dpHYd+ZMEvW6yC/WsWgDBQUkhg4Kop/4+JZtvXqRJmzIECKfXfE53rhBQv7z56nilJzcst/6eppu3LOHyHR4eNsmnyy6FiwxYsHiBcTHYzwhkUpxISoHAPn06Gmq4tjdDPxnkBP230qFlaE2JvS2Qyy/DJtPx8DBVBeWhlrNcSEf/noLB2+lYtYjLS19LTWM7GGNk/czMaWfA9RU5K/u3jbU6urjZAJNNWVsPUfaHH8PC3hY81BTL8LRkHT8MNsPkQ+yYT+QbJ9n+XeTK6oe7G6OQW5mmPTtRdSLJJja3wHzGo0um7afCc/C1nNxcDTTQX5ZHf43UbbfxC+pxqHgVEzt7wAHU3LNljIMvv8nCjVCMb6b2Q+VtQ34+nAYrAy1YKKniZOhmdBWU0bsZVlSpK5OgbD19aQTWrGCfGMOHKApKoDaaNOnAzU1JL4eNUrxZ5eYSFWb4GDg3XdJg9RV3jNNSEgAvv+eCJymJmmXPvmE1Yx0Bnx+CxG6eZPaogBVg4YMIU1Ujx7kat6VVTeRiD4rdXUiY9XV1F5t2n9MDH2egwcDqanU8mJJ0bMF20pjweIFBIfDweJx3hjm1dJGqqhtQHmNEPdTijDc2xJbzsQgji/AkvFe4GmrYc3R8OZAWVtjHcwY6ITDd9KQWVQls/83+tqjqq4Bl2NyFJ5Ddmk1lJU4UFXh4p/7mcgprYGKEhdzG40p/76ZgvG97aCnqYor8UVQUlWHia4ahnsrnh3PLqlGfeM5qirL/vfT9Fh6YRUm9LaVCYuVNrbujPXU8d+Hql1HQ9JxN6UIX0zqDj0tNaw8HAYwQB9nE5wMzYSuuopcUqSlFQB1dUBXl+Iv5s2jGIZr14gUMQzw8880PWRpSa0zRaRIKKQKU/fuNLZ//TrFgHQlKQoOBiZMoDbexYvUDuHzScTNkiLFYBgSnj+cM2ZrSzljd+5Qa/TQIdmcMU9PGtPvKlJUU0Mka8AAqiTeukXmnGPH0varVynxft8+qiRpaBBpYvFswRIjFixeUHA4HPxvYg/4PzKGzi+pRmlVPdyteVgVGI7y6gYsm+qDXEENdlxoqf+/OcARFgaa2HImplUALQBY8LQw0M0cR0PS5UaJNIgl2HUpAT72RojJFOBwozHkhN62MNXXBL+kGjFZpRjXyxaF5bWIyCwDAAz3NJU7nt+EGL6gQ4sMw8gPi70QmY04vgCLxng1V7pis0rx+7VkvDnAEb2dTLDpZBT4JdUY42ODA7dSoauhguhLB2RIka5uAKRSoFs30udMnUpi5Xv3aJqrspKqRIsW0Tf4GzcUB3IGB1N1Yd06ap/FxJBouysglVIla8AAImipqbTAZ2RQ20y3/ai5fx0YhlpTv/7akjPm5ETENyqKyOWxY0BREbXMduygOJanSS7FYtKbvfMO2SRs3Egi6Cbic/8+8MUXNMG2dSuR8PXrn52lAosWsMSIBYsXGBwOBwFv9MQgN/rfkQFFiMRkCaCrqQI9TVV8fSgURrrq+Gi0Jy5EZeNyNFWBVJWVsGicNxJzy3EmLEtm39P6OyC/rBbBifky2w4Gp8LP1Qz9XcyQXliJqjoRNFWV8eYAMqPceTEe7w53gxKXg9NhWZBIGVQXZcHLqm3DxtgsAUz1FM+ni8U0Yedkpgd9rdYGL6VV9dhzJRGvd7dCD3sKiCqrFmL98Uh42hhgln83/H4tGXeSCjC1vwP+vvmASNFFWVJkYBCA2lpqmcycSQSoTx+qHtjbU05Yr17kN3P0KC1e8ia6ysvJ02jQIBrXjowk40Z1+brzTkEoJCNGDw9yxeZwyIE5Lo6qHi/6hJlUSmTz5s1nc6zY2NZBqq6uZH75aM5YVBTw00/AG29QDMezwpIlZPswbhx9fgxDlSldXbJ+mDePQmEjIuj8fHyoesTi2YMlRixYvODgcDhYNqUX/FzIsEbKABwAtxML4G5lgIq6Bqw9GoHXvCzxencrbD0Xi4xGd2svGx7G+Njg92vJKK5s7V3UzUIfPewMERiS3sotO62gEneSCvH2YGd4WBmgact4X1voaariVkI+NFWV0dPeCAzD4GosCbIzb59sNVZfIxQhOa+8+e8MwyAmqxTWhopj2uOyqfLkZiU7sbbzYgKUlbiYP5y8kyRSBhtPRIJhgIDJPXElJhdH7qRhYh87HLmTBi01ZbmkyNAwAGVlVCFwd6dpovnz6Zu6nh6RkX79yHsnPJy+5T8KhqGKg7s7aZG2baOxbk9PhW+tw6ioIPNGBwdaLF1diVzo69P5vSzO0RERdI2eRgDrwzljkyfTxKC3N5GPvDxqT1248PRyxjqLw4eJ/HzzDZG1vDzSDr3+Or2Xt98mF3N9fTp3gEjey/JZv2pgLzsLFi8BOBwOvp7miz7O9BVXLGWgrMTFpegcDHYzRzxfgG3n4vDhKA9Y8LSw9lgEaoU0AzxvmCvUVZWw/Xx8KwIUnlaM/LJapORXIDqTRvuFIgl+OBWNTyd4Q1VZCWWNztccAJP62qGqToTfryfj/UZPo/TCSgiqhVBXUUJ+zPXmfTeIJVh/LBLSh9p0eYJaCKqFsFJAjCRSKcLSigEAOhqtyyF3HxTiVmI+Fox0h64mbfv75gPEZJXiqzd6Iqe0Bj+djcVgd3NcjcmBqhIXMZdkNUWGhgEoLaX2WHU1TXRt2UKLUEMDMGcOkZG33yavIScn2fPMyaEKztSp5HKdkECttiddxPLyqA1nY0NTb6NGkZD7xAkiS2fPdk0l6lmhiWj6+T35vkQish/YtIn0ODxeS85YeXnrnLHgYGpBjRz57I0s5YHPp4m2X3+litChQ3RdmlpomzZRG/b11+m+zM4mU9F+/br+XIRC2v/TIKuvElhixILFSwIOh4PVb/ZGL0dqI4kkUqgqc3E2go8R3a1wISobZ8KysHyqDwRVQmw5EwOGYaCtroIPR3og5EEhgpNa4kJ+uZSAwkYH7L9upjQbOY7sad2cS5beKNxWV1UCT1sd287HYXJf+2ZDxfyyWgCAm4UOGAkRsRqhCKsDwzGxt10r5+tYfim4HMDSUH4YVHBiASpqZb2VaoQibD0fh95OxvBv9DQKSyvGwVupmOnvAkMdNawOpGDYhGwBxFJGrtC6iRStWEGi1ytXSLuzaBEJbvv2BY4cIeHr7t2yjtRSKREod3cgNJSqISdPdiynrC0kJREZs7OjEe0FC0g/9NtvVC0CKJvN1/fphrx2Nc6cIXLyOE7P8nLG+vcngiESkRbn4ZyxlSufXc5YZ8AwRLa3bKG/f/gh/bl2LTlpx8VRNWndOrof9+2jsNqn5TEUGkrEOy7u6ez/VQE7rs+CxUsEDoeDtW/1wVd/3UNUVikaxFKoKXNxMSoHQ9zN8dvVJFjwtLBkvDfWHYuAly0P433tMNDNDP26mWLHhXj0tDeCtroKVJW5MNZVhyVPC1GZpVh64D6czPRaiZ41VUngXNcgwfrjEdBQIYPIJpjq00rU5CWUXVqLv0PC8M5g52YdUBNisgRwMNWVaw/AMAwCQ9JhbaSF7JKaVtv2XX+AqjpRc+xHUUUdvj0Rid5OxhjjY40lv4dAT0MFlbUNqKoTIenaYRlSxOMFoLyc9D87d1J15/ZtmiA7fJjG6q2sqO0iL7YiLo5G8ENCSPexcSO1PZ4Ed+5QteCff0gTs24dHUPvEZlWejpNKO3Z82THe5YoKADCwmgsvSOorSXRe5OH0N27ZJ+gq0txGytWkB6sV68XI1Kjo9i1C7CwIHI3axZNK/bqRQSJYehe2rq15XeAqmBPSwQeH0/eW926PZ39vypgK0YsWLxk4HI42PBOX3jaUDVGKJZCRYmDkOQCdLczxLcnImFuoImJve3wy8UEJOeVg8PhYOEoD9Q1iPHb1SQAwIejPKCizEWtUAxlLgdCkaSVrxAA+HtaYoALCb+NdTWwZLx3q+3O5nqYN8wVSXlV8PtoB+6llWLpGz1lSBFAuWuKYkCiM0uRkl+BPk6tg78Sc8pwKjQTs/27wUxfE2KJFOuPR0BNRQmLx3lj7dEIVNYKoaWugvyyWrmkSF8/AHV1wLJlNNZuYUEEyNWVWjAzZpCjcWioLCmqr6dF2ceH9Cq3blFV53FJkVRKIuCBA2nKLDmZKkMZGRQ18SgpAmhx1dN7uSIczp8nsbgia4PqarIbWLZMcc5YWBiJpZ9HzljTGH19/ePvIy+PCPQPP1BV688/6fGffyZivncvVR8HDSKCnJ5O5HzJEtl9BQbS/aKuTtdVWZkqnFu3du6c4uPJp+l5BNe+TGCJEQsWLyG4HA6+m9kfbpYt5IjD4SAlvwIWjYGzk/vawdFMD+uORaCqTgQTPQ3Mec0V5yL4iOML4GHNw94P/fHtO/0wf4QbEnPKUVBe2+o46ipKWD6tF3Q1VOT6DgHAdD9HLJ/kjjvbPsTUPtZyo0AKy2tRVFGnMDj2SEg6HEx1YWvcIgoRSaTYciYWzuZ6mNiHnLR/u5qElLwKLJvSE39cT0ZCdhlsjXWQWlCBlBuyMR+6ugHgcqkitGYNJaQHBVGrZtAgapnt2AHs308tjIcRFEQVpW+/pQU8KooW8cdBQwPwxx8UGTFhAlUI/vmHFqq5cxUvVPX1tIDOmfPitYnawvXrZErYNPX1cM5Y375EhEaNoiqYhYX8nLFevYgAPA/cukXarichEIsWkUmknh61RwGajvPzI83Y998TUc/JIWIEKJ5onDaNKpxNLbnPP6cK28cfd+6c4uNfziDfZw2WGLFg8ZKCy+Hgh9n94WJBZQahWAqRRIqK2gZwOBysCYzAZxO8UVMvxvf/REHKMBjXyxaulvrYciYGDWIJOBwONNWUMaqHNbTUlXHiXobc43jZ8BCbJWj3nBZ/MBcTJkzAwYMHWz0e0/haTznEKK2gAuHNYbEtjx8NSQe/pBqLx3lBictBcGI+jt/LwPwRbojJKsOl6By4WxsgLrtMbiCspiY5Wg8bRt+sAwJIQ3TtGlWAiotpsVmwoLWBX1kZTan5+9PCHhVF00SPs0hWVtIC6OBA5MbRkRbd27eJILUn2D5+nDK7Pvig88d+nrh5k9pBixfTtX44Z8zJqXXO2JEjT5Yz9jTQRCAe19jx4kWKa3nvPaoQJSfT/bNhA21ftYoE+0ZG9HttLVWPZs5se79NpOlxRfgJCSwx6ghekNuQBQsWjwMlLgc/zhkAx8ZojAaxFFV1Iqgqc5BXVoO915Lx+YTuuJtShKMh6VDicrB4rBfyympx5HZa837UVZUxwdcO5yOzUSlHAO1pa4ik3HI0iCVtns+WX/bi1KlTeKspS6MRcXwB7E10oKupioZGr6KmPwND0mGqp4EhHubNj5VW1WP/zRRM6WcPRzM95Apq8MPpGAxyM4ehthr2XkuCp40BYrIEyLgpS4rU1AJga0tC05MnyRBx9WrSb4wfT9WiiAgSNDeBYUhv5OZGi/Uvv9AC7+7e4Y+jGfn5wFdf0fGXLiWNSXw8+RB1puoUGEjPf9E1IU0EZ+FCsizIyqIW2D//0Bj9nj1kTJmdTdW599+nVuaLGm77JJWV+noihLt2AVVV1E4DiPzZ2pLY/sYNIuRZWSS4BkhA/jSJoUBAn9Pj3M//NrDiaxYsXnIocTnY+u4ALNx9CxlF1RBJpCiqqIclTwv3UwphwdPEmwMc8fu1ZLhZ6sPL1hDT/Rxx6HYaBrubw6axfTWxjx2OhqThVGgm3h7SeiX2tuFBJJEiObdcoU6oLcTwS2FhoIlP/7iDlPwKAFQRCk8rRnphJUZ0t8L//rzbvO18ZDZUlLgw0FaDUCTBuqMRMNBSw3hfG6w4GAonM13E8cvkkiIlpQB4e1PlJyGBktGdnUnD0iR4/vzz1osyn0+C2LNnyfhv61Zq8XQWyclUIfrzT6oQvPceLZKPO7m2fz+RrBcN2dmtA1fl5YwNHkzE8GWDRELkpclPqLNYv568lby8iIwLBGQbEBBA2z/5hHyVlJSojSsSEVmZOrXr3oM8JJG0EG5uT/c4rwJYYsSCxSsAJS4X2+cPwge7boJfUgOJlEFOaTVsjHRw/G4GPh7tCU8bA6w/Hokd8wfhP4OccDMhH1vOxuL7Wf3B5XCgp6mK13tY41RYFqb6OUL9oekxe1NdaKkpIyZLsYBaEUqr6pEnqMXcoa4Y5N563GbnxXgUVdZh4SgPqDfmol2Mysbm0zFYNcMXvRyMseVMDLJLq/H1NF9sPBEFQ111pBZUyiVFQAD8/Ogbv6EhTTdlZ5PeRUmJtC+DBrW8QiIhc8Zly0j3cuIEeRR1Fk0eOydPUoTD6tVUFXnSyTVNTWq/PU8wDInDHyZCGY0dV3d3alWuXk1E6FXIa0tLIw3a41SMoqPpHgoNpXvr11/p8aa22dGjNGk3bBhd1yZB9meftSbqlZVEsnv3fvL304Rc8mFVGGvDogVsK40Fi1cESlwudr43GJY8UulKGSCruAo2RtrYfiEeY3vZgmGAjSciocTlYtFYL8Rnl+F8BL95H1P6OVC4bHT2I/vmwMOGhxh+aafPK1aBvqiytgHnI7MxwdeumRSVVQvx6+VEDPe2RC8HY1yJycH5yGzMH+6KvdeSwDAMCspqFZIif38aqff2purQ4cPAiBH07T0qqjUpio4mb5wlSyiiISGhc6RIKqUK05AhtJ/4eFoIMzJoiupJSdHzwqM5YzY2RM7mzqXIk/Hjn33O2LNEfGPcYFvE6NIluqcetiOoq6P7aO9e0gDdvElkREmJhNhlZdRWbTJ2jI6m1pa+Pl3nJtTX0/WUtN217jTGjaN7/GW9L58lWGLEgsUrBGUlLnZ9MARmjf5CDAB+STVM9TXw89lYzHvNBTFZpfj75gN0tzPEqB7W2HM1CaVVNJdsbqCJwe4WOHY3AxKptNW+vW14SMwph1giffSwbSKGXwprQy0YaLdWL58KywIYBhN6t/gi/Z+98w5vsmyj+En3LpTVARQoe0+ZpWwEAUVmEREBUQQUQRH8RFBREBnKBhEUZMhWULbsPVrZu2XPFrrozv39cQyhdNA2aZO0z++6epWkyfM+eZPynt7j3HO3noW1lQYDW1dG6P0oTP/7NFpV88GxKw9xOywGMfFJaRZaA6Pg78/ajT59mIJ6803giy/oIr1lC8dGALyAjR7NrqcnT1gIPXNm5oexJiTwL/3q1XmxSUhglODcOXa/WZI7NfDiOWM9e7I2ypRzxnKTM2doKJnR8NZhw+htNWMG64R0Ro79++ujPP/+y++NGtHM8f33KcJ1EZurV/m9Qwd9YX9kJM/t0KHGd752dGQazVzruswJJYwUijyGrbUVfhrU9Kk7NUCHantbayzddxndG/lh+d7LOHblAfq3qgg7GyvM3nzm6WN1w2X3nrubYt1qvoUQn5iMi//VAWWWU2mk3+ISk/Hn0VC0qVni6bDYI5fuY9eZ23i3dSXY2Vhh/Orj8CrgBCcHGxy5dB9WVhpcSMOnCBiF2rU5CuK773hxql+fPjibN7Prx/q/rOCOHfxLf+pUFrueOMFoT2aIiuJf+35+NOsrVYpRgQMHGGkyl46qF5HRnLFbt9KeM9axo+nmjOU2lSox9ZWRgHB0pMB57z3O1OvZk5+HIUP0j9GNIwkP54gZZ2d92z7AxwN6UXT0KEXSxx8D7dsb8xUpsoqF/CorFIqsYGdjjZ/fD0DhZzyFwqPjEfkkASevhaGOXxF8ty4IcQnJGNS2Cvadv4sDFyiEynq5o3aZwlh14EqK2WplPd3gYGudqbZ9HY9j4nH9YTSqPZdG2xp8A1GxCejaoAwAIDYhCTM2nUYdvyJoXtUbP2w8hYdRcWhSyRN/Hr0GFwdbnNmeesyHjc0olC3LaM3q1Zw4HxDA9E9QELvBAEY7+vYFWrUCfHzomfP555mbUH/vHmuQSpbkKIqWLRlh2biRqTlz/ws8MZGeN+nNGRs8WD9nbP9+85ozZgq6dKGfUEZMn05Bc/w4P1Ndu+q7z3QEBlJkFi/OxzzvXF67NoX8hg2s1Zo7l3PUWrQw7utRZB1VfK1Q5FHsbKyxcHAA3pqxE49i2IIfm5CEi7cj0KhCMTjYWuPbtSfw/ZsN8FK5opi16QxqlCoEZ3tbdGvoh9FLDyM4NAy1/nOxtrG2QpUSBXHqehh6NM5cRbBORFXz1QujZK0Waw5dhX8lL3gWZMrv110XERETj+/fbIC/TtzArjO30aOxH5buuQQ3R1v8u2VZKlHk6DgKrq5ATAzw999Ma6xdCwwfzouUrS1THMuXM/WRmEhDx379MhfduXSJHWa//sq1dB1m5l68Gh/P6IOuWHr/fp4jJye6J3/yCcXjSy8pB+Ts0rgxO/Gio9MXkE5OdDXPiJEj+aUwL1TESKHIw9jb2uCXIc3h5shZClph3dGec3dRx68ILt2OwMJ/LmBou6qIjkvEon8uAABqlS6Esp5uWHngSor1qvkWwpnrj1LVH6XHqevh8CrohCJu+rTe3nN3cfdxLLo1ori6cPsx/jgSgjeblUdkbALmbT2LZlW88OfRULg42KQpitzc2Pvs7U2PogEDOIRz7VqOYLC1BUJDmZJ44w2geXN9DdCLRNGRI4wAVKhAH56xY9nOP2VK7oiiiAjW/WSW2Fj9INXmzVlc6+/PaIS1NUeaHDzIiNDWrYyU+fvnjCiaMoXnLz+g0eTfqFpeRwkjhSKP42Bng8UftICrAwPEyVqBnY0VNgXdQLOq3lh7OAQXbz9G3+YVsPHYNZy9+QgajQbdGvrhxNWHuPxMTVF1Xw88SUjC1XtRmTr2yWthKdJoIoJVB66gVunCKOfljqT/xn6UKeaG1tWLY/yaEyhR2Jl7AHBya+r0mYfHKERFMT3Rrx/w6qssnD5xgjUzSUm8QFepwgLZP/9kd5qnZ/r7FOF8r+bNWZ908iRTG6GhLNTOzfqa997LuMYkOpoCRzdnzN099Zyx48dZ2/L337k3ZywhgV49x4/n7HHyM7rZbYbMcFO8GCWMFIp8gKOdDZZ80ALO9qxCTkjSwt7GCrtO30bNUoUwZcNJ1PUrgnLe7vhh40kkJmvhX9kTngUcserg1afrlPcuADsbK5y89uK2/cjYBITej0L1Zwqvg0LCcPluJLr/Fy1aezgEofcj8eEr1TBt4ylExyZCowEeRyfgzPYVqURR4cKjEB7OIlc3N7ZLv/UWC6D9/FhX1KAB00UDBrA9uWPH9PeYmAj89htnorVvzy61NWsYXRo4MPc7zJKSWPj8bEfS48e0BRg5Uj9nrG1b1qx4eaU9Z6x2bX3BeW5x8SL3r0ZOGB+dA7puwOzkyfyMzJxp2n3lVZQwUijyCY72tljyYUs42vGKGZ+khbWVBlfvRcLV0RYT1gZhcNsquPEwBqsOXIG1lRW6NCiDPWdv4+4jDpe1tbZCpeIFn84+y4gz1x9BgBQRo1UHr6CspxtqlS6E2+ExWLL7Il6rXxr/hobh0MV7KFPMDSH3onBhZ+rus4IFKYq+/JLzztatA5Ys4egFrZZiqF49Ri4OHmRbeXqpjuhoDuT082Nbf/HibPU/dIjt0rktKnQEBVEI2dvrBY6HB7uVli7lfp+dM7ZqlfnMGcuM/48ie3Trxq7L2FhGN5OS+Fl9tgsuI86epQVAeOb7JvI1ShgpFPkIZ3tbLPmgJRxs+asfn6RFbEIyNABuhEVjc/ANdG1YBsv2XsaNh9FoU7MEXBxssfqQPmpUvaQHTl8Ph/aZjrW0OHk9DEXcHFCsAOuLLt2JwImrD9GtIaNFP/59CgVd7FG3TBEs/OfCf4Xd4Wn6FLm5jUJyMtNCkyZRCB09yjborVs5n2vGDHYTHT/OyEpa3L/PmpuSJSmkmjVjtOXvv1mQbIoOs2fnjHXqxPs++4zRn+rVWcB7+TKnsC9bZr5zxs6epfdPoaxPjFHkMKdOMbpkKsFvaShhpFDkM1wdGTmyt+Gvf2KyFg8i4+BVwAmbgm7A28MJhd0c8ONfp2BnY4VX65XC1uAbeBwTDwCo6uuB6LhEhN7PuM7o1LVwVPctBM1/V/DVB6/Cs4Aj/Ct7YvvJWwgOCUO/FhUxZcO/8PFwwpkbac8+c3AYhYIFmeqaMIE1RUeO0GDwzTeZVipViv/5jx6ddi3NlSs02PP1pX9P3768b/FiRltyE90g1YEDWeDt5UWn461bmborX56mgSEhwC+/0DjQz8/8hNDzGDJ41VwICQEePjT1LozP7dvsksusiWl+RwkjhSIf4uZoh98+bIGibmxNStYKrj+MRolCzpiz5Sx6NPLDqevh2BJ8A53qlQI0Gmw4dg0AUMmnIGytrXAqgzqjmPhEXLkb8bRN/+6jJ9hz9jZeb1AGUbGJmL/tLJpX8cKmoOuIT0zG7XTGfFhZjUKVKqyrWbsWmDOH6bO1a2nE99dfHMGwYwcHmD7PsWN0cy5fnrVDn39OYTJ1au4MOBWhw/GiRRQ4ZcrwuL17s42+ZUt619y6xRqduDim8ixx+GpeEEZvvEGDxbzG7dvs4DR3cW0uKGGkUORT3JzssWhIC3gV1I8PuREWA2d7G6w5dBXNq3pjwfZzSNJq8XLNEvjjaCjiEpJgb2uN8t7uGdYZnb3xCFrR1xetPnQVLg62aFuzBOZvOwcB4OHqgH9DwpCcLLi8a2WajtZNmzKNFBnJAus2bYCXX2bBdZs2rLV5++2U/+GLcARIy5asOQoK4jyv0FB2cuVkh9mzc8Z699bPGevfP+M5Y97eFFB377LI1tJISqLvU+XKpt6JYegERF4jr76unEIZPCoU+RgbayvMf68p+s/ajfuRsQDoPt8o9gAAIABJREFUkB0dl4iShV05mHbLWfRvWREbjl3DluAbePWl0qhW0gObgm5ARJ6mygBg2Hv94O7iCM9qAfAoXAM+Hs54HBOPrcE30L2RH05fD8eOU7fQtUEZrD50Fa4Otji5NbVPETAKTZqwIPrVV2nMuGgRvXqKFGGk6PmW9qQk1upMmsQ5VXXrsji5c+ecq63Qallbo5s6v2cPnbKtrYFatSh6AgIodl4kyA4d4vfMjigxJ6Kjue+KFU29k+wjkncFxJ07efN15RRKGCkU+Rw7G2sseL9pCofsZK1g/4W7aF2jOLb9exMtq/kgoIoX1hwKQYe6vqjuWwgr9l/BjYfRKFlE3/r1w9yFqFW+BIYt3I9S7o7Q6FJwGg3a1CyBjxcfROUSBbD13xtwdbBJUxTZ2o6Cnx87yyZPBpo2ZXTo5ElOKf/qK8DFRf+MmBgWKE+dytqctm1ZR9SsmfFTB8nJ3IdOCO3dy3EjtraMTvXrx/02bpx1878ePdiC7eHx4seaGwUK8FxYMmFhtG/IiwLi4UPLT3PmJiqVplAonjpk+/yXVtOZQP5z6iYq+RTAzE2n0bGOL+5FxGLP2TuoXKIgrDQanLyeOp0Wl5CEi3ciUM23EOISkvDn0dCnqbjwqDjEJyQjPjE5TfNGV9dRcHHhwNZNm1h706AB/5o/dIjiRyeKHjygK3XJkhwD0qQJp79v3kyjRmOIosRE/SDVDh3YcVW7No0M05sz9vLL2XNEtrFh2k1hGm7f5ve8KIxiYzn4Ni+wcuVKlC9fHjY2NtBoNNBoNHB3d8f333//9DGrV6+Gs7Pz058XLFgQHTp0yPQxVMRIoVAAoEP2z4ObYfRvhxEUGoaEJC3sbKxwPzIW0bGJ2HPuDuqUKYyVB66iWRVvlPNyx6lr4ehQxzfFOmdvPkayVlCtpAe2BN9AdFwSapcpjC9XHkOl4gXT7T4rVGgUwsKA1q0ZeXnnHaalJkygp4+u2+zqVTpbL1xI754BAyiMfFNuI1u8aM7Yxx+rOWN5lbwsjBo0YLNCXqB79+7o3r07tm3bhjZt2sDe3h4hISHweCbU2rVrVzx8+BDffPMNpk+fjk6dOsE6C/l0JYwUCsVTNBoNvu1dHx8t2o/ztyKQkKTF45gEFC/kjD+OhGLQy1Uwe/MZnLj6ENV9PfDP6VuQ5/yMTl0Lg7uTHYoXcsIXK0LgX9kTS3ZfRBE3x3RFkYcHRdEnn3AuWWAgR37s2KGPohw/zsjNqlVMN332GVvwDfHNiY1lJEpXH3TwIDvD3NwYgRozhkKoTp2cH6mhMC137vB7RqNjLJUlS0y9A+PTunVrVKtWDadOncK2bdvQo0ePpz+7du0a1q5diyNHjsDLyyvLa6tUmkKhSIGVRoOpfRvBrxjzQclawbUH0Sjk6oC/j1/jcNmDV1DN1wNhUfG4/Z8rto5T18NRtaQH9p67i3sRsSjkYo/LdyPxKCY+TVHk5DQKVlbAiBEcc7F9O/2Ftm5le/u2bRRJdesymjNzJmuJxozJuihKb87Y9OlMf33zDVv8w8NZ4J1bc8YUpicykpFBOztT70SRWQYPHgwAmDFjxtP77t69iwEDBmDhwoXZEkUAoJHn/9xTKBSK/5i/9SzWHA55ettKAzSt7IVdZ+7g+z4NMHLxIQzrUA3FnDWoXaEkDp8JxVfrz6JfiwrYfvIWHO1tcPH2Y9jbWuPkltSF1hrNKNSuTWPD/ftp2DhlCju4Vq1ih1lwMOt6Pv2UHj82WYhz62p/dMXSx4+zgLpIEUaCAgJYLF21qulHaihMy+PHtFEoX97UO1FklpiYGBQvXhyPHz9GUFAQSpQogcDAQMyZMwd+BhTsqVSaQqFIl4FtKuPxk3jsOMUCDBtrK+w7dxdF3Byw4dg1+Hm64dT1cBSrxNDN9YfRSEzWwtbGClfuRaK8lzs0GqQpinQt+UeOsK5jyxbW8SxaRHEUGsputO3bGdXJTDF1WBhTYroaoeBgFm57e1ME9evH7xUqKLM7RUoKFOCXwnJwdnZG37598cMPP2DChAmIiIjAtGnTDBJFgIoYKRSKFyAiWLHvCn7ZdQEAB8kWdXfEnUcxaFW9OP4NDcNHL5dD7Qol8d3KAzgcGomynu648/gJ7j2OTTN95ug4CkWLcv7X8OHs7lq0iGmyx4/pVj1yJFCzZsZ7u3dPXx+0ezdw+jTvL1VKHw0KCGBKTgkhhSLvcfnyZZQvXx4igu3bt6Nly5YGr6kiRgqFIkM0Gg0C/cvCxdEGMzedQWKyFrfCY+BoZ43w6Hjci4jFo2jOUbt6LxKlirgiODQMDjbWGXafFSpEIbRli75jZsAAdqCVLp32Xm7eTGmmeIFaDeXKUQB9+inFkKWN1Jg6lQaVI0eaeifZw9eXAvfDD029E0V+o3Tp0vDz88Ply5fx77//KmGkUChyj451S6GImyO+WXMCCUlaJCZrERzCiZtX7kUCAELuR6OMnSMcbK1wbseKNAutnzzhRfTmTbpaFyxIQTN4MFC4sP7RIhzqqYsG7d7N2wBHT7RoAXz5JeDvb/kt1ps25eyokpzm4UO+XwpFbiIiePfdd9G+fXtMnz4ds2fPxrBhw2BlYMGg0csNly9fbuwl8z3qnBofdU6zR4PyxfB1YD0UdXdEUrJAKwJ3JztcvUthlJSsxdV7UTi34/c0a4oqV2br+9SprC2aPp3t+WPHMoKU1pyxfv1YK5TRnDFL5949oFix1PdbwudUxLIMBC3hnFoapjqnH374IVq0aIEffvgBfn5+uHLlCjZt2mTwukoYWQDqnBofdU6zT81ShTFzQBOUKeYKrQDRcYlPI0YaDdJMnzk7j0KpUmyFj4kBli+nCAoIYG2RTuBUrEhvoosXed+ff7KgOigI+PFHdqUVKWKSl52jxMQAzs6p77eEz2lCAsWREkbmSXAwfbmCg3PuGKY4p5999hkqVaqEXr16QaPRpNm6n11Ug6pCocgy7k52mP2OP7o3LAONRoOwKNYYXTu4Lk1RFBPD6M/s2WzJ//13CqFq1VhTdPMm8PbbTCk9esRo0uTJjBJZcoops8TFWY6weJ64OH53cDDtPhRp8+QJR+zkJS+uiRMnws3NDYMGDXp639tvvw1nZ2ds3boVFy9eNGh9sxRGxlCfeWkNY2Aur8Vc1rh165ZZ7MOS19BoNOjfqhIWDW6Gga1ZPX35n2fXYfqsbFmaKR47xmjQ6NEUP2nNGXv0aHm25owZ+lpMvUZsbNrCwhI+p7Gx/P4iYWcu70t653T+fGD16tzbR26t8aL3x1z+P80s06dPx+PHjzFq1KgU9xcoUAC9e/eGiGDWrFkGHUMJIwtYwxiYy2sxlzUs4YJjKWsUdXfEyR0rU9xnazsB1tb8j+vSJV70P/6YhdQREcCuXSycbtGCbsPG2Iclr5FejY4lfE7zijD65Rfg779zbx9KGGWNO3fu4N1338WECRMwYcKENB/TtWtXAMAvv/yCsLCwbB8rU11pIoKoqKhMLZiUlITIyMhsb0itodbIjTVExCz2kRfWmDt3Lr4d//XT2337jsXx4++jYcNI1KpFJ2GdW7UIcPhw+muFhSVhzx7DXoulrSHCdNSNGxSOz5KQIGb/Wq5d4/fz5zMep2Eu70t65/T+faBo0dTvQU7tI7fWOHFC/z2taGxOntPnqVkTcHV1hSYLpmJbtmzB0KFDceXKFWi1WgBA3bp1cfz48RSP69KlCzZu3AgAiIyMRIkSJVC2bFmsXr0a5bNoZ54pg8fIyEi4u7tnaWGFQqFQKBSKZ4mIiICbm5upt5EhmRJGWYkYKRSK/MexY8fQsmVL3LhxA1euuKFZM95foABriAD+NV6jBlCrFr/7+Cg3aoX5MGQI4OkJfP65qXdiXA4fpnHoqlX8HTQl2YkYmYJMpdI0Go3ZKzyFQmE66tatCwBwc3NDQIAbmjQB9u3jxHJ7e6B5c8DLCzh5kt1mWi1vPzu2o1IlJZQUpsPTk0K+aVNT78S4/Jd9Qo0adIhXvBjlfK1QKIzO9u28yMTF8T/m/fvp1dO1KwfExsToHa1Xr+Y4jMKF9SIpIICt/GrivSK3cHTUFyrnJSpWBBYsyJv+XzmFGiKrUCgMRleH+Gz9wLFjwEsv6UdFlC/PC8+NG+xG+/RToHVr+qwcPKgf+3H4ME0DCxTguA9dVKlWLX0Rt0JhbHr0oJno9u2m3onC1Kj/ZhQKRY5Qty7TZiNG8LaueykwkK7XbdsyvD9yJNC9O9CqFX8eG0uDR51QGjOG97m6Ao0b64VS3boZd0EpFFmhXLm0u7YU+Q8VMVIoFAaTVsRIx8cfM30G0M8oMZH1RO+9B2zYAGzZApQqxcGy/fqlHo2RkMDok04o7d8PREcz9dGokT79Vr++cl9WKBSGY9QM/rhx41CxYkU4OzujYMGCaNWqFQ5nZFqiyJDExER8+umnqFatGpydneHt7Y0+ffrg9u3bpt6aRbN27Vq0bdsWhQsXhkajQXBODhFSYPJkfgH6mqNHj4ChQ5le27ePAuejjwBfX2DcOE5r12Fnx5+PHg1s3qwfGfLVVxRHU6cCzZox9RYQwAjT9u2sY7JE9uzZg44dO8Lb2xsajQbr16839ZYsngkTJqBevXpwdXVF0aJF8dprr+HChQum3pZFM2fOHFSvXh1ubm5wc3NDw4YNjTLA1RwwqjAqX748Zs6ciVOnTmHfvn0oVaoU2rRpgwcPHhjzMPmGJ0+e4MSJExgzZgxOnDiBtWvX4uLFi+jUqZOpt2bRxMTEoHHjxpg4caKpt5JvGDEC+OYb/lsEuHWLUaOff2ZqLTAQuHwZ6NULmDQJKFmS7dMhIanXsrEB6tVjJGrDBv2Q2e++YwH33LmsXSpQAGjYEBg1ijPYDPTAzHGePOH3mJgY1KhRAzNnzjTthrLA4cPAv/+aehfps3v3bgwePBiHDh3Ctm3bkJSUhDZt2iDGUtWzGVC8eHFMnDgRx44dw7Fjx9CiRQu8+uqrOHPmjKm3ZjiSg0RERAgA2b59e04eJl9x5MgRASDXrl0z9VYsnpCQEAEgQUFBpt6KxaP7XY+IiEj3MVqtyJtvilAaidjainh7izRowNvduoncuSPy4IHIl1+KFC4sYmUl0rOnyIkTmd9LcrLI6dMis2aJ9Ogh4unJ9a2sROrUERk+XGT9epGwMCO8cCOxcKGIRiOSkJDyfgCybt0602wqCzRsKPLWW6beRea5f/++AJDdu3ebeit5ioIFC8qCBQtMvQ2DybFm2ISEBMyfPx/u7u6oUaNGTh0m3xEREQGNRoMCBQqYeisKRZbQaIDFi/XF2ImJTIsdPw707cv5aZUqAevW0WTv2jVg+nRGI2rXBtq0YYrsRVWRVlZAlSocWLtiBXD7Nou9587l+qtWAa+9xuhSjRpM6a1ezZEQpsLTk6/LUrPk3t6WtfeIiAgAgIeHh4l3kjdITk7GihUrEBMTg4YNG5p6OwZjdGG0ceNGuLi4wMHBAdOmTcO2bdtQuHBhYx8mXxIXF4dRo0ahV69eynBTYbFMnkxBArDbzMaGAzybNAFeeQUYOJCGkDduAIMHAxcvUuA8fMgUWZ06vJ2UlLnjaTSsZXrnHWDJEgquq1eBRYu41t9/A926AcWK6YvCly/P3Qt9hQr8fv587h3TmHh7A3fumHoXmUNEMHz4cDRp0gRVq1Y19XZyhR07mKo2NqdOnYKLiwvs7e3x3nvvYd26dahcubLxD5TLZFsYLV26FC4uLk+/9u7dCwBo3rw5goODceDAAbz88svo3r077pvyTzELIr1zCrAQu2fPntBqtZg9e7YJd2lZZHROFabj2DGgQQP+OzYWsLVlYfWxY8BPP7EGqXp14OuvWazdowcjS9u2MdITGEixM2uWvjYns2g0QOnSwFtvAQsXAleuUIQtXcoOt127WOvk4wOULQv0789Il85uICcoVYqF5JZanmFJEaMhQ4bg5MmTRpkqbyn06sU/JoxNhQoVEBwcjEOHDmHQoEF46623cPbsWeMfKJfJdrt+VFQU7t279/S2j48PHB0dUz2uXLly6NevH0aPHp39XeYT0juniYmJ6N69O65evYp//vkHhQoVMuEuLYuMPqehoaEoXbo0goKCULNmTVNtMU+QUbt+emi1FB937+rv8/LibLXp0ylYvv+e0ZSffmJnmo4TJ/izlSsBDw+mwwYPBoz1q3Hvnt6Ze88e4NQp3l+ypN6ZOyAA8PMz3hiTOnU4S+rnn/X3aTQarFu3Dq+99ppxDpJDLF5MoRkba96WCUOHDsX69euxZ88elC5d2tTbyTVKlQJ69wbGj8/Z47Rq1Qp+fn6YN29ezh4oh8l2xMjV1RVly5Z9+pWWKAIYtoyPj8/2BvMTaZ1TnSi6dOkStm/frkRRFsns51SR+1hZMaX17Fty5w5b9t95h6mz/fvpa9SkCYXPf6UhqF2b6a7LlxlNmjiRouWDD4DQUMP3VqwY02szZ3K+28OHwPr1QJcujOoMHEhDwOLFGb2aOxc4d+7F9U8ZUaUKYKl/bHt787u5ptNEBEOGDMHatWvxzz//pCmKbt2igNi9O/f3l9M4OOTOuJO8cr03mvN1TEwMvvnmG3Tq1AleXl4ICwvD7NmzcfPmTXTr1s1Yh8lXJCUloWvXrjhx4gQ2btyI5ORk3P3vz2sPDw/YKdvfbBEeHo7r168/9YPS+Zl4enrC09PTlFvLdzg6Mo3l5cVibICF0lWqAL/9Bhw9yhTAli3A//5HcTJrFounAabEZs4Exo7l95kzgdmzKZY++YQRGGNQqBDw6qv8AijQ9u/Xm06uWgUkJ3MeVdOmetPJrMx7q1KFry8qKhpXrugLQkJCQhAcHAwPDw+ULFnSOC/IyOiE0e3bfE/MjcGDB2PZsmX4448/4Orq+vT/UXd396d/LBUowHTpjRum3GnO4OJCU1Rj8tlnn6Fdu3YoUaIEoqKisGLFCuzatQubN2827oFMgbHa22JjY6Vz587i7e0tdnZ24uXlJZ06dZIjR44Y6xD5Dl07eVpfO3fuNPX2LJZFixaleU7Hjh1r6q1ZLJlp18+IBw9E7O31rfw2NiJlyoiUKiXi6iqyerVIaKhI+/b8eefOIrdupV4nOlpk+nQRX18+rk0bkR07aBWQk0RFiWzdKvK//4n4+4vY2fH4BQuKdOokMnmyyNGjIomJ6a+xeTOf8+uvO9P8fL5lxv3w4eHc+5o1pt5J2qT3/+iiRYtSPM7dXeS770yzx5zklVf4OTQm/fr1E19fX7Gzs5MiRYpIy5YtZevWrcY9iIlQI0EUCoXB6GqM2rVrBxsbGwQGBiIwMDBLa4SHM/Kgi8Tb2/Mv3erVgZ07gWHDmDJbv54ps7g4mjoOHJg6KpOUxCjOd9/ReLBOHc5k69IFsLY20ovOgOfnvR08qJ/31qSJPqJUp45+3ltMDPdqiTPgRPi+mXN9UWaoXJkz/KZNM/VOjMs77wDBwYzAKl6MEkYKhcJgslN8nRbh4UyrJSTwtqMjU1SBgcCyZRQSK1ey7mjkSBYqN24MzJ/Pi9rziLCTbdIktiyXKUPH7L59U9Y25TQJCbwo6Qq6dfPenJzozq0r5n7pJcsXF5ZMq1ZMm/7+u6l3YlzGjgUWLGAdleLF5JjBo0KhUGQVDw/WGDk58bbO5+jXXylmbt0CatViNGbBAkaS7t9nLdG4cfpokw6NRm8MeewYozFDhrDAe/x4CrHcwM6OAu7ZeW+HDwNffkmBNmUKhZFu3tsXX1j2vDdLxZJsB7KCtzfw4AH/yFC8GBUxUigUBmOsiJGOR4/YZaYrGHVwYOqsWzfOPNu6lcXY48axaHv8eKbNypZl9MjfP/21r1zh4NmFC5lWGzBAP8DWVCQns/ttzx7918OH+rlwutRb48aA8nbNOUaNYgr2yhVT78S4xMcz3Wxra+qdWAZKGCkUCoMxtjAC6Gfk66sf/qr7T71ePaBZM9YbBQQwxebpSa+hd95hJGbgQAqljCbn3L+v72SLjGS67pNPWNNkarRatv/rUm+7d9PvycqKETNd6q1JE0bZFMZh+nTg009pGmosfyqF5aGEkUKhMJicEEZcl+Lo8WPetrZmQXahQsCYMfwLX6NhS39AACMvc+YwZeXqCsyYAbz+esYXueho1ipNnQpcvw68/DIvjgEB5nNxFAEuXdKLpN27gZs3ub9q1fRCqWlTWgYosseZM8C+fYwi5kaRvsI8UcJIoVAYTE4JI4DCxdc3ZT2Qlxf/qp83j0Jo717gm29YkG1lRS+aIUOAP/8EOnWi91Hx4hkfJzGRhd2TJjGtVa8e1+vc2fwukiI0stQ5c+/eTbNMgPPennXn9vIy6VYVCotDCSOFQmEwOSmMABYhly7NAlIdfn4UB9Onsyj722+BDh1YqO3hQfGwZg3HhcTE8OeDBr1Y5Iiwhum771jcXbYsO9n69MndTrascvNmytTbf76lKFs2ZUTJlLVUCoUloISRQqEwmJwWRgAjRH5+KWerVa7MMRrDh7PuqG9fptBWrWLEB2AabtQoRpcaNODctcwOVT96lDPZ1qzh8NoPPgDefx8oWNDYry4l/ftzRtzIkdlf4+5dRtJ0Qun0ad7v66sXScae9zZnDkXlunXGWU+hMAWqXV+hUFgETk5MFz2bEjt3jiLnhx/Yvr93L+ecNW7MomoRFmDPnctoyuPHLF7+/HN2ub2IevWYXrtwgbVKX38NlChBIZaToyOePOFxDcHTUz/v7dQpdrmtW8fXcfp0ynlvvXoZZ96btTWwYYPxx08oFLmJihgpFAqDyY2IkY74eEZTrl3jbWtroHx5CpWyZRnd+eEHFl736MEIkaur/rkTJjCtVro0W/sDAjJ/7Hv3uO6sWbz49+rFTrbMRqAyy/LlXPvq1ZybPfb8vLdjx1LOe9NFlbIy7+3MGZ6L7duBli1zZt8KRU6jhJFCoTCY3BRGAAVO5cr6gmNbW/oexcWx1X3DBv6sf38WH69ezQu8jrNnGTHZv5+P+f77rKXHoqL0nWw3bgDt2zPt1bSpcdJSMTGMfI0eTb+m3CA6mqNLdAXdhw/TsbtAAfpC6eqUatakv1JaaLVMOQ4bRpNKhfnw55+0tlixwtQ7MX9UKk2hUFgc9vZM+1SowNuJiSw+FmHEw9+fkaRjx/jY+vVZlK2jcmVe/OfOZT1SpUocA5HZPxNdXXnxv3IFWLyYbf7NmrGGae1awx2GnZ2B114Dli41LLWVFVxcgNataZapSzvqZtRFRzP9WK8eC9vbtaOP1MGDPPc6rKyARo3Y8q4wL+7fZ3o2KcnUOzF/lDBSKBQWiZ0da2d0M9Li49nSf/06L85dunDg7MGDNG/s25f+NLGxfLyVFfDuuxRYjRsDPXsCHTvy+ZnF1hZ480229//9N7vWunThnn76KXN1TOnxxhvcW3Bw9tcwBEdHir2xY4F//qFQ2rePUSwR2iM0asSIUqtWrL/avZvz3g4etNwLsAgjjGfOmHonxsXbm6/t3j1T78QCEIVCoTCQiIgIASARERG5fuyEBJHq1UX4376Io6OIg4NIz5683a+fSHy8yKJF/FmNGiIXL6ZeZ906ER8fERcXkR9/FElKyt5+Dh0S6dJFRKMRKVZM5NtvRR49yvo6iYkiRYqIjBiRvX3kNImJIkeOiHz/vUiHDiLu7jzfdnb8PmCAyLZtItHRpt5p1ilSRGTcOFPvwricOsX3Zc8eU+/E/FE1RgqFwmByu8boeZKSGKkICuJtJydGkPr3B375hRGh1avpd9S1K3DnDrBoEaM7KV8H8NlnwOzZTBv99FP2R4RcvAhMnsxUm60to1PDhr3YaPJZhg4F/viDhebm4sKdHrp5bzt2sN7KyYm1UpY4761ZM6BoUcM7A82J+HimaGfN4mdRkT4qlaZQKCweGxt6Dum8i548YW3R/PkURydPAg0bchjt0aOskenalUIlIUG/jpsb29v37eNFvU4dCiVd+i0rlC/P44eG0v/o55+BMmWAt99m8Xdm+PhjWhCYuygCWNNVqxb3vHgxz/OpU8CPP9Li4JdfWKResCDfpxEjWBD86JGpd56aKlXyXirN3p72DHntdeUEKmKkUCgMRhcxateuHWxsbBAYGIjAwMBc30dyMiMTBw7wtqMjRc3bb/O+Bw9YHN20Kf9yHj4cqF2bkYGSJVOulZBA9+vx4/mzefOAFi2yv7eoKEagpk1joXiHDoysNGliGcLHUEQYRXvWnTuteW/+/ozWmJLZs4EPP6TAzksT6bt2ZR3eP/+YeifmjRJGCoXCYEydSnsWrZapkL17edveniKnSxeaHO7fz0hO377AkSM0QYyOBn77jZGk57lwga39e/bwOZMnc4htdklIoE/RpEmMHDVsSIHUqVPm/YLyAs/Oe9N9hYTwZ6ae97Z7Nz9Dp08zepRXGDuWnZiqADtj8tGvoUKhyA9YWQG7dumjO/Hx/Kv/jz+YcnvjDUaQPvsMqFuXdUkNGzLN87//pe6mqlCBbes//cQut0qV6AeT3T8p7eyAt95immnjRu6pc2d2si1YwP3mBzQamlf27ct6r6tX2RH422+MGu3cyW5Cb2+mgAYMAJYs0Rt75iQ1a3J/hw/n/LFyk1ateL4ttWMwt1ARI4VCYTDmFDHSodVS7GzZwtvW1hQllSuzLf/LLxlF+vVX1h5NmkRh1LQpIzqenqnXvHuXKZaVK4GXX+ZssFKlDN/rwYM0mVy/nsaOw4YB770HuLsbvrYlY4p5bzpq1mSN2c8/G3ddhfmjhJFCoTAYcxRGAKM6nToxMgMwmuTqyhqWESNYY1SlCqNJXl68+PbsyccuX850Slps2MBhsuHh9O/54IP03aCzwoUL+k42e3uKow8/BHx8DF87LxAWRqGkq1MKDqYA9vbWi6SAAKBiRcOF0ogRNEVcssQ4e1dYDkrJqXrCAAAgAElEQVQYKRQKgzFXYQRQHHXpknLie5EijCBNm8YLoG74aY0ajFL06sUL7/jxwKefpl37ExVFN+gZM1jA/dNP7MoyBnfusJtrzhwWj/fuzW4vnZmlgkREsINQF1E6ftzweW8KhRJGCoXCYMxZGAEURz16cPyHjuLF6Vu0YAEHy166xChRhw68uI4dS3fn9u0ZwUmv4PrwYeCdd1hIPXw4MG4cPXyMQWQkC8WnTQNu3+Zg1t69WSeiSE10NLsP9+xJOe+tYEH9vLemTTOe96ZQKGGkUCgMxtyFEUBx1Ls3C6d1lC5N08eFCymaNmwApkxh+kqjATZt4sgPZ2fWFdWvn/baiYlMgX35JdM68+Zx7pixSEjg3LQhQ9hC3qgRI1kdOph3JOTwYeDbb2muaYq299hY7kEXUTp4kGNaXF1pk6BLvdWpk7fa8hWGoYSRQqEwGEsQRgDFUd++jADpKF+e0aIZM9g+PnkyMGgQMH06owrXrzPadPw4RdOQIenXr1y6RFfhnTspqKZO5bR5Y/HHHxwuW706TSsrVQI++YSpP3t74x3HWBw7RjPHXbsoQExNfDz3pBNK+/fTyNPJiWJTl3576SUW5CvyJ0oYKRQKg7EUYQRQHA0cyBSajsqVmQr74gum2N5/n+3+K1eyMywhgRGaH36g79GCBemPtRChy/OIEYzmTJvGSJUxuqa0WoqiUqVoNzBpEsWStzc72QYONK9ONq2WheOBgRSJ5kZiIu0adEJp716mL+3tGR3Upd4aNmTUUJE/UMJIoVAYjCUJIx2DBtHsTke1avQWGjiQxdrdu/OivnEjU24AsGYN0K8fW+pXr854jtq9e8BHH7FuqXVrHqtMGcP3vWQJ0KcP8O+/PP758/pONkdHdrING5b7pojpMXQo3cavX2eRuzmjm/emE0p79rDzUDfvTSeULGHeW0acOsWIWLlypt6JmZKbE2sVCkXeJCIiQgBIRESEqbeSJYYM4cRxQMTKSqRqVRFra5HOnUWCg0XKlOGk9f379c+5dEmkRg0RBweRn39+8TH++kukZEkRR0eR774TSUgwbM8JCdzXa6+lvP/WLZFPPhFxc+OE+/79Rc6dM+xYxuDgQZ7fHTtMvZOsk5zMqfQzZ4p07y5SrJj+s1K3rsiIESJ//CESHm7qnWaNypVFBg829S7MFyWMFAqFwViqMBIRGTZML46srXnRcHQU8fcXuXxZpEkTEXt7kWXL9M958kRkwAA+p29fkZiYjI8RFSXy0Ue8oNaoIXL0qGF7XryYxz5yJPXPHj+mAPPyEtFoKKAOHDDseIag1Yr4+Yn062e6PRiCVkvRqfv3+fMi8+eLvPGGSPHifB80Gr6vH3wgsmaNyP37pt3zi+jWTSQgwNS7MF+UMFIoFAZjycJIhJEWnTiytRUpX16kQAGRatVErl4VefNN/mzcOF4cdfzyC0VUtWoiFy68+DhHj/ICamVFoRQVlb39JiWJVKok0qZN+o+JixNZsECkQgXu3d9fZMMGRkFymzFjGMmKjc39YxvKhAn8LKR13rRafj4WLaJALlNG/zmqXFlk0CCR5ctFbt/O9W1nyLffiri68nOkSI0SRgqFwmAsXRiJiIwerb+o2dnxIuflJeLry5TU+PH8Wa9eKS/wJ09SfLi4iPz++4uPk5AgMmkSBZWvr8jff2dvv7t3ixw+/OLHJSeLrF8v0rAh91+lCgVdfHz2jpsdzp/nsVevzr1jGotdu7j3Y8cy9/jr10V++01k4EC9KAVEypVjenPxYpFr13J2zy9i927uKSjItPswV5QwUigUBpMXhJEIIxu6C5m9PVMl5cqJFCpEEfL776wtatRI5N49/fMiI0V69ODzhg7NnOi4fFmkVSs+JzAw5Xo5xd69Ih078pg+PiKTJ4vk1lu2erXIo0e5cyxjkpAg4u7OaGF2uHOHn5vBg1nDpvt8lSol0qcP69QuX04ZicxpnjxhZHTGjNw7piWhutIUCoXBWGJXWnqMHw+MGcN/Oziw+8jHh3PM1qyhi3KnTvS++esv/ZgOEWD2bHai1arFVn9f34yPJcJp8h99xNb2KVPos2TsgajPc/Ysh9YuXcrXMWgQTS3TGpyroI9VSAhw5Ijhaz18mHKMSXAwPwc+PinHmBhj3ltGNGrEz+fy5Tl3DEtFCSOFQmEwOmHUrl072NjYIDAwEIGBgabeVraZOBEYPZr/dnSkQKpalc7JCxfywtWhA1vQV69O6XJ99Ci9jiIj2Vr/yisvPt6DB/Q9WrKE/knz5gFly+bMa3uWmzfpzTR/Ps0P33qLM9nKl8/5Y1sSOouEO3eMLx4fP6bRpM4e4Ngx2gYULcrPmU4sVa1qXJfzTz4Bfv+dn2HFc5g2YKVQKPICeSWV9iyTJunTHo6OIs7OIu3b8/b33zMF1a4dO9nmzEn53LAwkQ4d+NjRo0USEzN3zC1bREqXZrpuwgTDW/szy6NHPF6xYuywev31zNUv5Rfu3+d5yYw9g6FERfFz8L//sSPS1pafIw8PkVdfFZkyhfVOhhZOr1/PFPHDh8bZd15CCSOFQmEweVEYiYj88ENKcWRvTz8bgB428fGsKQLY9v/sxSo5mW3z1tZsjc5sZ1J0NLvkrK1FqlfPXYESG8tW9PLl+ZoCAujDlJv1L+ZKw4YUjLnNkyci//zDGqfmzSmaAXb5tWsnMnEi7RiyKqKTktT7mh5KGCkUCoPJq8JIhOZ+OnHk5CRiY8PWbI1GpHdvXpBmzmQLfocOLMR+lt272d1WrBgvcJnlxAmR2rV5nA8/TL1uTpKUJLJ2rUj9+nzdVauK/Ppr7kWwzJFvvmGnoinsDp4lLk5k3z7up00bRjJ1n81WrUS++oqfOUu0RjAXlDBSKBQGk5eFkYjI3LkpxZGVlci77zLN8fLLTH9s2kRvmBo12LL9LHfvirRoweeNH5/5i2tiIlMnTk4iJUrQhyg9njwR+fJLkZCQbL/MVGi1vMi+8gpfe4kSIlOn5q5IMxdiYszT9ycxkVHFSZP4Prm56bsqmzZlp+X27S82IVXoUcXXCoXCYPJSV1p6LFgAvPMO/+3oCMTGci7Z0qWccv/XX8DduyzKjo8H/vyT87V0JCcDX37JrreXX2ZBb6FCmTt2SAg7x7Zs4Qy3H39MXQQcHc2iaX9/FtUam9On2cm2bBng4sJBux98wLlxWUUECAsDChc2/j7zO8nJnKO3Z0/KeW+2tqnnvbm6mnq35okSRgqFwmDygzACgF9+Ad5+m//WiaOBA4H164ECBShcHB2B117jxem334DXX0+5xubNQO/ebJNfuRJo0CBzxxZha/WwYZwK//33QP/+KVu6dfvbs4cCKSe4cQOYNg346Sfuo29fdrJlpYtuyBB2Yp04kfPWBPkdrZb2DDqhtHs3BxxbW9NWIiCAX02a0IpCAdWVplAoDCevp9KeZckSfVpNVwjbty/ngXl5ifz7L9NaOsPHCRNSF7lev85iXltbFnhnpQj24UMeT1ccff68/mfJyawLqlo15+uBwsNZ51K0KOugunZNe3ZbWvz9N/d/8GDO7lGRGq2W42vSm/c2dCjNOM193ltOooSRQqEwmPwkjEQ4/+pZh2zdqJBateiSvHs3RYrOSfvtt1O7YcfHc14aQFGR1VO3fTvFmL29yNdf69c/cYK1TJMnG+e1vojYWNZglS3L19KsGeutMhJ7ycm0JejTJ3f2qEgfrVbkyhX9vLfSpVPPe1uxwvzmveUkShgpFAqDyW/CSERk1aqUs9WsrUU6d2ZLtb09u7pEOBvLzo7RnbCw1OusWcOC2bJlRYKDs7aHJ09ERo3isatUYdu2CKe8OzunLgLPSZKSGGmoV4/npHp1RtfSi1x99x3Pk/LRMT1xcSkLy3Xz3t55R2/d8Py8t9BQ0+03p1HCSKFQGEx+FEYiFD+6i4atLb/atBHp0oVRm7lz+bi9e2mmV66cyMWLqde5dEmkZk2m5rJjIhgcTEGi0XAm1/XrIp6e3Eduo9XSlqBdO56XkiWZLoyKSvm4Bw8ojL7/Pvf3qNBz6hTfh6NH03+Mbt7b++9TgOs+876++nlvly7lHV8kJYwUCoXB5FdhJCLyxx8UJAA9juztRfz92c4PsIVeq+Wg0IoVRQoWFNm5M/U6T57wL3RdzVJW26uTkihAnJ05IPajjyi2TPmW/PsvvZ6srfm6P/885bDcPn0onCzNHykujkIgLxAXx8/s1KmZf86DB/yjYNgwpo91n38fHw5EnjtX5OxZyxVKShgpFAqDyc/CSERk40b9xcHamuKkTh2OdQBE3nuPwiU8XKRlS0aWFi5Me63Fi+lbVK1aysLqzHLtmt53qHNnkVu3DHttxiA0lCaVzs6Mig0aRKF48iT3uXixqXeYNd58k4XKeYXmzRnhyy6PHvF34JNPRF56ib8DAAvzu3QRmT6dItlSUMJIoVAYTH4XRiIimzczfQbwu5sbi1enTOGF4vXXWaickCAycCAfN2pU2maPp08zuuTiwsLXrKLV8nnFinEfc+aY3rFZhDVWX38tUqQIz1G3bjTInDXL1DvLGuvW8f07fdrUOzEOU6YwahQdbZz1IiP5+zB6tEjjxvp5b5aCBW1VoVCYK0oYka1b9eJIN/izdGm2Rjs4sAD70SMKlylTGGXq0iXttFlUFNMSAOuG4uKyvp/wcJEBA7hGkyZMb5gDT56IzJ7NrjqAruBbtlhO6iUujqnB0aNNvRPjcP4834c//8yZ9XXz3iwFK9M5KCkUCkXeonVrYPt2mucBdByOiQHGjaMh4smTNNO7cwcYPpzGkJs26e97FhcXumrPns3n+vsDoaFZ20/Bgnzuzp3A/ftAjRrcS3y8EV6sATg60sn7wgWaXEZEAG3b0nBw2TIgKcm0+3sR9vZAt27cq1Zr6t0YTvnyNOj866+cWd/REWjePGfWzgmUMFIoFAoj0rw5sGMHYGPD2/fv8/uwYcDcuRRLjRoBFy8CnToB+/ZRFL30Et2yn0WjoYDYvx948ACoXRvYuDHre2rWjGt/+inwzTdAzZo8rqmxtqbAOHqU58zTE3jjDV6kZ8ygqDRX3ngDuHYNOHDA1DsxHI0GeOUVCiM1C0MJI4VCYUR69uyJTp06Yfny5abeikkJCAB27dKLo9u3AWdnYMAAjtNwcuKsqqNHGSU5fBgoWpT3bdiQer26dTk+w98f6NgRGDUq61EVBwfg66+BoCCOL/H356y3x48NfrkGo9EALVpwXEpwMMdTfPQRULIkMHYsRaG50aQJUKIEo3p5gQ4dgJs3GcXL95g6l6dQKCwfVWOUNgcO6AtPAdYbOTjQE6ZhQ3Zpbd7Mx0ZHi7z2GuuOpk1Lu95Gq+UUdWtrTk7PqhtxfLzITz+xAHzmTBFXV44xWb3a/Op7QkNpVOnkxHP2/vt0aDYnPv2UdWTPu5pbIvHxIjdvmnoX5oESRgqFwmCUMEqfQ4f0Y0MAOlzb2tIV+pVX6H302298bHKyyMiR+hb/9Px99uwR8fZmO/SOHZnfy8GDXHvGDN6+cUOkUyfe9+qrvG1uPHxIL6jChVnY3qOHyPHjpt4VOXmStgrmJtgUhqGEkUKhMBgljDLm2DH9wFlApEIFXuTnzdMPhJ0yRf/4BQsomFq3ZhdbWty7R08kKyu2wGe2Hf/99xmpunyZt7VaRow8PRlBmjnT9K39z46n0BETw73pZnm1asUuQHOLdCksH1VjpFAoFDlMnTos0nV05O0LF9gJ9O67QPXqwOjRwIgRwMiR7HLq3x/YupU1SI0aAVevpl6zaFFgyxbg88+BL75g8ezDhy/ey8SJfO5bbwHJyazv6dIFOHcO6NULGDKE9TOnTxv3HGSW997j1/M4OQGDB7NofcUKICwMaNOGBenLl5t/J5vCclDCSKFQKHKBWrWAgwd5gQeA8+eBKlXYtm9vz6Ls778H+vYFEhPZ3XboEJCQANSvz86057G2Br78kkXLx47pj5ERrq7A4sUUalOm6O8vUIBdc3v2AI8eca3PPwfi4ox2CjJFxYrAokXApUtp/9zGBujRAzh+nNYIRYpQ0JUrB8ycCTx5krv7VeRBTB2yUigUlo9KpWWekyeZytKl1apW5ffhw0WWLWP9Ubt2ehfihw9ZaG1np69FSosbN0QaNWIKLr3i7WcZOZJrpjWqIS5OZOxY7qV8eZFdu7L9crNMbKx+5lZmOXGCj7ey4rDeceM4z0uhyA5KGCkUCoNRwihrnD7NcR+68SHVqvHfAwawS83FhTOndBf3uDiRt97iY774In3Rk5AgMmIEH/f66yKPH6e/h7g4irLq1dN31T5zhiMdAJH+/emknRvMncvuvJMns/a8q1fpEu7oyG62oUNFQkJyZIuKPIwSRgqFwmCUMMo6Z89yjplOHFWtqu+6OniQ88QqVGDbugjF0Lff8vGBgYyspMe6dSLu7hy5ERSU/uOCgzkdXXeMtEhO5qw1NzfOXluxIucLnhMSRMqUoX1BdnjwgBEvDw9aGwQGZnweFKlJa0xNfkEJI4VCYTBKGGWP8+cpYABewKtUYXqrfXtGS0qXZlv+s5GTVavY4dawITvT0uPyZYoee3vOaktPzGRW5Ny6xSgUQJuBa9cy/zqzw+LFPNaRI9lfIzqak91LleJabdqIbN+uOtlexNixIpUqmXoXpkMVXysUCoWJqFCBnWcFC7JD7MIFwM+PrtlDh7LrrGhRulTv3cvndO0K7N7NTrX69YEzZ9Je28+PBdZ9+wIDB7ILLa0RGxpN5vbq7Q2sWQOsW0f37CpVgOnTue+coFcvoFIlFoBnF2dnnsdLlzjX7P59oFUroF49zmgzdifbokV5wwm7Zk12KV65YuqdmAYljBQKRSrWrl2Ltm3bonDhwtBoNAgODjb1lvIs5coBR44AHh68UF++zFETQUEUB+vWsSW9dWsOnQU4V+3IEXaYNWpEAZUWDg7sNFuyhKKmfn12wxnCa68BZ88Cffpw/lujRhyOa2ysrYHx4ykMDR16a2MDBAZyrMrWrezA69GDwnT2bCA21jh73rGDI0wsfbBsq1bslFy3ztQ7MQ1KGCkUilTExMSgcePGmDhxoqm3ki8oW5aRo8KF2ap/9SoFQUgI/Yl+/pkz0rp0AebP53NKlmQLv78/HzN7dvrr9+7N9bVazl0zdJSduzswaxYH0UZH06fps8+MJzB0vP46RZ29vXHW02goMLdvp71BvXqMKPn6co5ceLhh67//PqMs27YZZ7+mwsWFs9OWLTP1TkyEqXN5CoXCfAkJCREAEvSCylVVY2QcQkI45gNgrVHp0pxlVqaMyKVL7LgCOCJDVyeTlCTy4Ye8/4MP0naN1hEVJfLGG3zsoEHpd6Nlhfh4ka++4n79/FjDY0lcuUI3cAcH2ih8+GHGxegZodWK1KjB8SqWztq1/JycPWvqneQ+KmKkUCgUZkKpUkyReXrS2PH2baaBtFogIAAYNIiRjbFj6VCdnMyU0w8/MIIzaxbQqRMQFZX2+i4ujMDMncsoVOPGjEoZgp0dMGYM8O+/rENq1Qp4+206U1sCZcrwvF2/TvfxJUtYn/Xmm1lPEWo0fI82bOB6lkz79kw55oWaqayihJFCoVCYEb6+FEdeXqytuX+fIsnFheKoXTum0+bOBXr21DtTv/8+8NdfLNJu3Dj9C7NGw1EkBw8ydVS7NvDnnykfM2UKHbWzQsWKLBqfP5+1KZUqMRUjkuVTYBKKFOFrvnYNmDqVDuA1avB879qV+dfxxhss+talPC0Ve3sW+lvSe2gslDBSKPI5S5cuhYuLy9Ovvbr2J4XJKFGCNUE+PhRH4eHA48e83aIFRciaNcDGjbxwR0TweW3bUvBERekLtNOjdm0WIzdrBrz6Kue0JSbyZ3FxFAm7d2dt31ZWwDvvsKOpWTOKhPbtgdDQbJwEE+HiAnzwAYvgf/uNUbvmzVm4vnr1i7vwXFzYAfjTTxS0lswbbwD37vFc5Cc0IvlNCyoUimeJiorCvXv3nt728fGB43/TTkNDQ1G6dGkEBQWhZs2a6a4RGRkJd3d3FC1aFBqNBj4+PvDx8QEABAYGIjAwMGdfRB7lzh1ekG/cYIeZkxPTPKdPA2vXMjLRqROjTJs2McoEMMr06qtAcDBTQ127pn8MEUZIPv0UaNiQA1o9PZkSu3yZKTIPj+ztf8MGRrLCw5kC/OADpgYtCRF2/U2aBOzcyUL5jz9mV55uKPDznDkDVK3KIveePXN3v8ZEq+XsORcXU+8klzF1kZNCoTBfVPG16blzR29Q6OgoUqCAiL8/55itWiVy6hRNIEuXFrl4Uf+8J09Eevbk87799sWmhvv2cUZZkSIi27Zx9pqHBwuJDTFEjIxkUbhGI1KnDueaGcKtWyI3bxq2RnY5ckSka1e+lqJFRcaPFwkLS/uxGzbwPVBYHiqVplAoUhEeHo7g4GCcPXsWAHDhwgUEBwfj7t27Jt5Z/sPTEzh8mEXCsbFMrQUFMVXVowdTbgcOsAi6cWO2oQOMZixbBnzxBVvp334749RO48Zct2ZNoE0bYOFCFmj/8Qfw44/Z37+rK59/8CCPX68e03ZPnmR9La2Waa3hw7O/H0OoVw9YtQq4eJFWAl9/TduE4cMZ1XuWDh3SjygpzBxTKzOFQmF+LFq0SACk+ho7dmyaj1cRo5zn/n2RsmUZAXJy4lfHjrz944+cD1a/PlvOt25N+dzffmM7fdOmIg8fZnycpCTaAWg0HKHx3nsiNjYihw4Z/hoSEhi9srdnhOv5fWaGRYv4mvftM3w/hnL3rsj//scono2NSJ8+jOApLBtVY6RQKAxGV2MUEREBNzc3U28nz/LwIdCkCUeHODoygtKpE6MYX30FfPQR0L07DQx//ZVuzzr276drdYECLNquUCHjY23bxuJbOzs+Jy6ORdW2toa/jkuX2Bm3cyfNJ6dNo7llZtBqGbmxtgYOHWLBt6mJimJ0bepURo7at2dUrGnTzI9cUZgPZvCRUigUCkVmKFyYabNKlZhWs7bmmJDevZkyGzeOtwMDOU7khx/0z23cmCk5W1sWWe/cmfGxWrdmaq1UKQqxdu2MVzhdrhzHZyxcSIuBihVZJJ6ZP9OtrCikjh41H2dmV1eOR7lyBVi8mFYJzZrxPK9dm3Pz5BQ5hKlDVgqFwvJRqbTcJTxcpGpVfVrNxkakXz/efucdkcREkZEjefvTT1MWTz96JNK6NZ/z888vPlZCgsjHH3Otzp35fGNy755IYCDXb92aTtSZ4fXXRYoXF4mJMe5+jIFWK/LXXyIBAXxd5cqJzJsnEhtr6p0pMoMSRgqFwmCUMMp9Hj0SqV5dL46srEQGDuT3Hj0oaKZO5c/feou3dSQkiLz7Ln82cqRIcvKLj7d+vYi7O8eTGNpZlhZ//y3i68vOu+++o7jLiMuXWTc1Zozx92JMDh2iiNNoRIoVY41VeLipd5V1tFqRAwdeXKOWF1DCSKFQGIwSRqbh8WORmjX14kijYbG0nZ3IK6+wXfy33xgdeuWVlNEVrZbCSaNhJCg6+sXHu3JFpHZtFk/Pm2dYG39aREWJfPQRxV3NmiLHjmX8+M8/52u9fdu4+zA2Wq3IggUib77Jc+fiIjJ8OC0RLIWHD/k5mj7d1DvJeZQwUigUBqOEkemIiBCpW1fvc6QbEOvkxFRORITIli3sVmvQIPVf/H/+yZ/Vrk2PoBcRG0vxBfBCnxlBlVWOHqUwsrKigEjvGE+eiOzYYfzjG5vwcL4fY8bQl2r0aH0n21tviZw+beodZo6OHdn5mNdRwkihUBiMEkamJTJS5KWXUoqj994TcXMTqVePYujIEZHChUUqVhS5di3l84OCWK/j45P5NNnSpRRUlSvnzAT2hASm1BwcmGLbtMn4x8hNhg0TKViQUTERvmdTpvCcAyIdOojs2WP8KJwxWbGCe710ydQ7yVlUV5pCoVBYOK6u7PJq0IDdao6O+iGzISEcPlu8OFv24+KARo04VkRHzZr6wbX+/qmHyqZFr17sCouJYfu8sTvEbG3Z8n76NLvY2rWjfcD9+8Y9Tm4xfDjb+n/6ibddXXnf1avAL7/we9Om7B5cv562BOZGx46AuzutCfIyShgpFApFHsDFhf5FTZpQ/Dg4cML7q69yAG2TJhQbBw4AhQpRAO3bp3++lxeHxrZtS7+jKVNe3D6/ZAkH2LZuTdEyaBCPbUz8/ICtW+nLtGULW/sXLbK8ie8lSvAcTZmS0oHczo5DZ0+dor+UjQ3QuTNQuTKwYAGdzs0FJyegb1/z25exUcJIoVAo8gjOzhQP/v68cNnb86/7Vq1oNOjvT5G0Zw9QowYFzbPRIScnmkWOHMlBqe+9ByQmpn+8efOAggWBa9eAGTMoWBo3ZvTDmGg0HNp67hxHbfTrB7RsSaNIS2LkSODWrbSja1ZWwCuv8L05cIDCaOBA+kh99x0FqDkwaBCNRlevNvVOcg4ljBQKhSIP4eQEbN5Mg8GEBIqjX38F6teniGnalEaEmzfzQty5MyMAOqysgIkTab64cCFTWI8fp30sDw9gzRoKlhMneEGPiABq12Y6yNgUKUIDxS1bgNBQoHp1YMKEjMWbOVG5Mp3Kv/suY9NHnTGkTgh+8QUjTjphZUoqVKAonTPHtPvIUUxd5KRQKCwfVXxtfsTG0jBRo2FLu5WVSLduLMZ2cxPZu5dz0QYNYkHt+PGpC3937mTBcMWK9A1Kj19+4Rrz59NCoHNn3h4xIqV/kjGJjhb55BMRa2v6OR0+rP9ZUlLOHNMYHDrEc7N0aeafc/s2jTrd3ERsbUXefjtnCt4zy19/8b19kdeUpaKEkUKhMBgljMyTuDiRtm0pjmxtKSJefZVt/I6OIps3Uwx99RUv1kOGpBYVFy7QublQIYqp9ND5Jx05ovdIsrERadxY5ObNnHuNJ+0Ga/wAACAASURBVE7QakCjEfnwQ9oP+PlxqK65smABhwJnlYgIkUmTRLy9+X516mQew3TzGkoYKRQKg9EJo3bt2knHjh1l2bJlpt6S4j/i42nuqIsc2dqKtG/PL1tbkdWr+bh58/RRpbi4lGs8fEgxZWcnsmRJ2seJi6NlQIkSeq+k/fvZjl64sMjWrTn2EiUxUWTyZHoF+fjQRqB//5w7nqmJjxdZuFCkUiUKpEaN6EyeGQdzxYtRwkihUBiMihiZN/HxjC7oIkd2diKtWol07Uox9MsvfNzatXRmbtGC0Ynn1+jblxfiMWPS9tu5fp0/ezbFcv++SJs2PPa4cTmb5rp6lREy9qyJrFmTc8cyB5KTGSFr3Jivt2JFzr97XtgqsoYSRgqFwmCUMDJ/EhL0M7tsbGic2LQp61UA/aiH3bs5E61WLbo0P4tWKzJhAh/fowedpzNDUhLTdRoN656yk0bKLFoto1q2thR9s2blj0jKvn1MkwJMtU2alFrcKjKHRsTS3CAUCoW5ERkZCXd3d0RERMDNzc3U21GkQ1ISjRlXrQKsrdmxVr06DRpnzAC+/hr43/9oqti2LY0it2wBypZNuc6aNcCbb7Llf/16oFixzB1/xw4e38YGWLmSrf05xaFDXF+rpcHlvHnsqMrrnDtHr6TFi/n+DRoEfPghfaoUmUO16ysUCkU+wcaGHjo9erBdPC6OImjfPuCzz4AxY9gSXrUqW+9tbCguTpxIuU6XLjSDDA2lDcCzLtoZ0bIlEBRE08aAgMyZSGaXBg2Ab76hB9KVKxRx48enNFfMi1SqRPuF0FD6UM2ZQy+kAQOA8+dNvTvLQAkjhUKhyEfY2ABLl9KFWasFnjyhcPjzTwqHyZN5QS1RgiNESpWiiNmxI+U69epxjEiBAhwxsnlz5o7v7Q388w8wYgRNJDt3Tt8nyVBGjOC4E3d3Rk3GjaPH0sGDOXM8c8Lbm35J16/zff37b4qm117LH6/fEJQwUigUinyGtTVNH/v0oTiKiqJx4JIlwLRpjDj07k1B8c8/HCfSrh3w++8p1ylRAti7l6aRr7wCzJqVuePb2PCi/ccfjDzVrg0cP27812lrSzfuCRN4vOPHaYDZuDEweDAQGWn8Y2aH8+dzzkna3R345BPOzFuwgMdq1Igu6Bs2GD6TTYRp1YkTjbNfs8DURU4KhcLyUcXXlklyski/fvourkKFRMqUEZk7l8XLr7zCAuuEBJE332TxtK5I+1mSkjg9HhAZOjS18V98PCezp8XVqyJ16rBTbs6cnJ8un5Qk8sMPbOn38WGbu6kZMULE1VVvc5CTJCfzNTdsyPercmWRRYv4HmWXAQNEihfPO4aPShgpFAqDUcLIcklOFnnnHb04KlKEXkQLF9IEslkzkchIPu6TT/iYzz5LW8DMmUMTyXbtUnZErV3L5/30U9p7iIsTef99PqZXL5GoqJx5rc8SGkovJ0CkSxeRW7dy/pjpcf++iIsLz29usm+fSMeOPAc+PvSCys6v8PHjXMMcRKYxUMJIoVAYjBJGlk1ysn40CCBSrJiIlxfb3t3cOEZEF82YMoWP6dcv7QjBli18TtWqFB86dM7YBw6kv49lyxjJqVRJ5MwZ477GtNBqRX7/na/X3Z2RMlO19n/+OYXo7du5f+wzZ2jbYGvL8zB6dGqrhhdRvz79qvICShgpFAqDUcLI8tFqORJEJ468vRk9WrGCztVVq+ov2kuW0AupY0eRmJjUa50+LVKqFAXHoUO8Lz6eRoSeniI3bqS/j3PnRKpUoYt1ei7bxiY8nE7ZgEiTJqaZQ/bokUiBAnwPTMXNmyIff8y0np0dI4kXLmTuub/+yvN38WLO7jE3UMJIoVAYjBJGeQOtlvPGdOKoeHEOkV25kqkWPz+RkBA+dtMmRncaNRIJC0u91r17rGNxcGBURkTk7l2m6erUSVtQ6YiOZk0TIDJwIAfi5gY7d4qUL8/Iydixue8g/e23PLbuHJuKR49o5Onpybqy11/XC9z0iI2lgDalsDMWShgpFAqDUcIo76DVshhYJ45KlmRqbNUqCiMfH0Z1RDjRvnBhFvBev556rdhYkcBArjN+PNcOCmI0qFu3jAuttVqR+fM5oqRWLZHLl437OtMrNo6NZVrLxoYjNjIanGtsoqIoRnr2zL1jZkRsLOvCypfnexgQIPLXX+m/b199RSF8716ubtPoKGGkUCgMRgmjvIVWKzJypF4clSpFMbNyJdNchQtzqr0IUy2+vowupZWC0mo5Iw0Q6dOHUZg1a3j7229fvJegIAoyd3cWcRuDQ4e430uX0n/MqVMiDRpwn+++yyhKbvDzzxxlcuVK7hwvMyQl8dzXr8/zUbUqU2fPi8uwMIro9DoQLQUljBQKhcEoYZT30GpF/vc/vTgqU0afFqtXjxdAXTTl1i2R6tVFPDzSL65etozRH39/kQcP2MF2/nzm9vL4MdM5gMjw4bQPMISoqP+3d9/RUVVbGMC/SQ8kgFRDRyAqRRCkSEdqgASkgzSpAoIiSlFBuhSlKgrSu4CINOklKCIIovQiCEoHaRIgCTnvj8+8IZCQSWaSyYTvtxYLSO7ce258b7HXPvvszfd5+eXHD7WNjDRm0iSeGAsIMGbp0uRpJ/D770n7jMSKiuIsvbp1rVutY8fy1GK069edtz5HUWAkInZTYJQ6RUUZM3CgNTgqUIA1MAsWcFvF15en0IxhRqVSJX5t5crY7/fjjyzozp/f9qDowbWMG8ctrnLlHl/AbYsffmD9zMcfx3/tmTPGhITwZxASYv+zU4P9+41p25b/PTJkYAuHCxecvSrHUGAkInZTYJS6DR5sDY4CA9mraM4cZg68vLg1ZgxrUho25PdnzIj9XidPsiYpQwZjNm1K+Fp27GCmInNma1CWWH37MtDbty/+a6OiWGf19NM8tTVp0uOzTU+KM2eYxfPzY0awS5fHb1G6AgVGImK36MAoKCjIBAcHmwULFjh7SeJgw4ZZg6Nnn2UdzLRpLBR2czNm1ixeFxnJfxwBZmNi23q6fp09bzw84m76+DiXLxtTuzYzPgMHJj5AuXuXW4BFi9p+Au3aNZ6UA1iDtH9/4p6d2vzzjzHDhxuTNSv/uzRubMyuXc5eVeIoMBIRuylj9GT4+GNrcPT88/x98mRr5+xJk3jdgwXXPXvG3jQxIsLaVPLddxMe3Ny/z2DNzc2Y6tUTfxLqt9+YNerTJ2Gf27aNAaKnJ0+xJVdLgZTuzh02yixQgP9tq1QxZs2apK/NciQFRiJiNwVGT44xY6zBUaFC/H3sWAY3Dx7LN4b/QLq5MasUW0YmKopzy9zcjKlfn/2LEmrTJmYpAgKMCQ1N3DuNHMksR0IbO969y4yVpye3GLduTdzzU6PISBarlyrF/10ULersFdlOgZGI2E2B0ZNl7FhrcFS4MH8fPtyYoUP55/feswZH33zDOqTq1WOeXnrQqlWsUSlRgqfevvsuYes5e5aF3+7uxowalfDsRGSkMWvXJuwzDzp4kAXhADto//NP4u8VF1fKuDwoKoqNM2vXdvZKbOcGERGRBOjVC5g4kX8+eBAoUgT44AMgPBwYPx4YMwbo2hW4fx9o2BBYvx7YtQuoWhW4dOnR+9WtC/z4I3D5MtCuHdC0KbBnj+3ryZ4d2LQJePddoG9foEED4No12z/v7g7UqmX79Q8rVAjYvh2YPBlYsgR4/nng668ZOjrCl18C9eo57n7J5c4d/jdxcwO+/97Zq7GdAiMREUmwHj2Azz7jnw8dAooWBYYOBf7+G5gxA/jqK6B1ayAiAqhcGQgNBc6eBcqXB06efPR+L7wA/Pwzg4yICKBGDd7LVh4ewMiRwMqVDFJKlEhYcGUvNzcGg4cOAeXKAc2bA8HBwJkz9t87Tx5gzRrgu+/sv1dy8vEBNm4ERoxw9koSRoGRiIgkSvfuzGZERTFzVLQo8MknDEgWLQKWLmXG6M4doFgxYMcOwGJh4PDrr4/eLyCAAVRQEDM+ZcoAt24lbE316gF79wKZM/M5X3yRvJmWHDmAZcv469dfGehNmMDsWWIFBTGj9d57zMq5CouFGbx164B9+5y9GtspMBIRkUTr0oXZoagoa+Zo8mT+Y/jtt9ziqluXAU6+fNwyy5WLWaTNmx+9X5o0wIoVQIcOwLlz3Ka7ezdha8qbF/jhB6BTJ6BbN+C11xIeYNnr1Vf582jblluP5coBv/+e+Pt9+ilw6pQ1S+cqmjblf49Ro5y9EtspMBIREbt07Mjts/v3GQwUKQLMnAksWMAtoD17gOrVgX/+AbJkAbZsAV5+mZmQxYsfvZ+bGzBtGvD229yKevbZhNUMAYC3N4OIRYu4vVaqFHDggGPe11bp0wOff84g7d9/gZIlgf79mUFLqMKFgc6dgSFDgCtXHL/WpOLhwUxXbP+dUyoFRiIiYrfXXwdmz2ZwdPgwt5AWL2Zwsn4964oqVwbOnwf8/BisNG7MWpy4siDjxrGW6cwZbsX98UfC19WsGfDLL4CnJ1C6NDBnju2fvXQpcc98WPTW4cCBwNixzKpt2pTw+wwezN8/+MD+NSWn118HMmVy9ipsp8BIREQcok0bYN48BkdHjjDTs3Ili7I3bGDGqGJF4M8/AS8vYO5cZoV69AA+/DD2WqAJE5h98vFhzdH27Qlf17PPsrC7aVNubXXqZFvWpnlzoFGjhG/lxcbLCxgwAPjtN56iq16dAcPVq7bfI0sWYNgwbl3+/LP9a0ouvr7AW285exUJ4Ox+ASLi+tTHSB60cCGbNnp6sgmkry/7GB04wKn2OXMac/gwr42KYu+h6B5AERGx3/PqVXZR9vLinLbEmj7dGB8fY4oXj3+m1759fN5bbyX+ebG5f9+YqVONSZ+eQ3Xnz7e9T1FkpDGtWxvzyy+OXVNSS4reTklFgZGI2E2BkTxs8WJrcPT888akTWtMxYrGHDvGppBZshizd6/1+tmz2aAxJMSYsLDY73nvnjHt2zOI+uCD2EeN2GLfPo6sSJfOOgA3LuPH83mrVyfuWY9z7pwxTZrw/rVrG3PqlOOfIQmnrTQREXG4Jk1YYxQVxTqdnDl5ZLt1a546y5OHDR9//JHXt2nDr2/cCNSsGXuxtZcXi7JHjQKGDwdatEhcIXOxYiwIr1mTW2W9esV9DL5nT6BOHTaevHAh4c96nIAA/oxWrGBheOHCrEGKjHTscyRhFBiJiEiSaNSIvYyionjU/OmngWPHWHS9eDFQvDiDk/XreX2dOixKPnSItUixNXi0WIA+fYBvvmH9UpUqiQtY0qXjGiZM4MmxKlWAv/6K/XkzZ/KkXNu2fBdHCw7mO3fowE7RZcvG3udJkocCIxERSTINGrDZYVQUT5dlysQAJDiYAUfVqvzzsmW8vmxZZpFu3eJprsOHY79vw4bA1q28V5kywP79CV+bxcKM0PbtDMJefBFYu/bR67Jm5Wm29et5Ui4p+PtzzMqOHcC9e2wv0KcPEBaWNM+TuCkwEhGRJBUczHEWUVEMZPz9eRqrdm0GAw0acOtt9mxe/9xzDBDSpwcqVAB27nz0nuHh7OnTsyeQMSNHjSR2HleZMszQlC7NrNWAAY92qq5Zk9mc3buTtpN22bLs3D1kCH82RYrwRJ8kHwVGIuIwzZs3R0hICBYuXOjspUgKU6cOa2miotjLyNsbuH2bx9ZHjADat2cdT3RPoxw5OB6kcGHglVfYKPJBnp7spP3hhwxkqlThOJBJkxK3vkyZgFWreBx+xAjOart4MeY1H38MLFzITFNS8vQE3n+fWbC8eRmUtWnjWo0dXZqzq79FxPXpVJrYav16HoH38TEmd25j8uTh8f2jR4155x2e0Bo+3Hp8PSzMmAYNeGJt1qyY94qMNCY42Bg/P2P27LF+vnv3uI/922LLFmOyZTMmIMCYbdsSfx9HiIoyZsYMY556yphMmdiq4OGj/eHhbHlw8qRz1pjaKGMkIiLJpkYNZn+MAS5f5gksb292xW7fnt2dP/gA6NeP1/j6AkuWsDC5XTtg9GjrVpa7O8eOBAYCISE8XTZlCgfbBgcDN28mbo1VqvAE3bPPMls1alTSFF3bwmJhI8gjR6yZo1q12Ek82r17zJT17Jm8A3NTKwVGIiKSrKpVYz2QMeyGHRYGZMjAgCQkBBg/ngFQ166s9fHwYLAzcCCntffubQ1U/Py4BebmxmG1zZvz3j/9xOLtP/9M3Bqffpq1PX37MkirX59rdZasWa2z544eZe3RmDEMLP38eLpu1SpuV4p9LMYovhQR+9y8eRPp06fHjRs3kC5dOmcvR1xEaCgLsAEen8+ShafD1q1jX59OnRjozJrFuhsAmDwZePNN9jCaOZO9jQBeX748h9OuXAmcOMFA6fZtFn6XLZv4da5Zw/5L/v7MXpUqZddr2+3ffxkkTpjAnkxffQWUKMH3PXiQR//TpnXuGl2ZMkYiIuIUlSrxCLzFwuP5Fy+y2Lh6dW6PLVrEQOTBeWXdurH/0NKl3C67dYtfL1KEvY2OHwfOnQOef57zxAoWZCbq668Tv846dXhSLFs2npL77LOYW1bJnV7w82MjyJ07mTkrXZon5kaN4uDboUOTdz2pjTJGImI3ZYzEHjt2sH4muqbomWeY+VixAoiIYM+ismWZ+fH352e2bOEx/8BAYPVqbjUBPMYfnUUCWH/TsSOH2w4ZwlNsiT1VFh7OAGTSJKBZM2ZqvL1Z9xMSArRsad/PITEiIthb6aOPGLhVqsSTc7/9BhQqlPzrSQ2UMRIREacqV44dr93cmBk6cYJdsevWZUZk3Trgl19YuB1d51O1KrBtG7feypdnZ20gZlAEMHCZM4dB0cCBDGLu3UvcOr282Fto8WJur730EouiPT2Bzp1Z+5PcPD3ZCPLAAWbH5s5lcPn6684rGHd1CoxERMTpypQBNm/mSbPwcGaMypZlVujKFWaITpyIOQKkeHFmmwAGV/v2xX5vi4W9jhYu5NZctWo8EZdYTZowUPP25horVABy5eLXndWpOn9+bkvOns333bOHNUjaE0o4BUYiIpIilCrF4MjTk6et9uzh1lCTJqwdCg1lx+yKFYHTp/mZfPk4QiRHDh7537o17vs3b87vHz/OgCaucSO2CAxkjU/z5sAbb3Db6vhxHpl3FouFGbETJ7iud95hvdaJE85bkytSYCQiIilGyZIMjry8mO3YuZNbaC1bArt2AT/8wC2iChWsW1dZszKjVKYMe/wsXRr3/cuWZVG2ry9PsG3cmPi1pkkDzJjBX2vW8FTd9OncznKmLFlYU7V2LfsdFS0KjBzJeiSJnwIjERFJUV58kYGOjw+zIKGhHPfx+uv8x377dh7vr1jRun3m788+Po0aAU2bAl98EfOeu3YBN27wz3nzcgvu5ZfZLmDqVPvW+/rrDLZ8fJjt6tjRvmyUo9SqxdqjN99k08yXXuLPQR5PgZGIiKQ4xYpx28vHh0XZGzYAr77K4/pff83C6zx5WHMUXWfk5cVMyVtv8bqPPmLW6c4d1io1asT6JYCB1cqVbCLZpQubRj48ODYhXniBdUf16vEZNWtan+VMadOyEeTu3azfKlsWePtta5sDiYVzJ5KISGqgWWmSVA4eNCZrVs5D8/Y2pmlT6zy1GzeMqVTJmDRpOIMtWlSUMSNH8rrOnTk3betWzmhr1erRWWMTJxrj5mZMSIgxt27Zt96oKGM+/NAYT09jypY15vRp++7nSBERxnzyCX9euXIZs2qVs1eUMikwEhG7KTCSpHT4MIe6+vkx4GjZkkHPhx8ac/u2MXXqMOhZtizm52bO5PDZBg04jHbhQn7u/fcffcbq1bx/8eLG/PWX/WveuZNDcjNmNGbNGvvv50gnTxpTqxZ/Fk2bGnP+vLNXlLIoMBIRuykwkqR25Ain3UcHR23a8B/23r2NuXuX/8C7u3P6/INWrTLG19eYihWNuXbNmDFj+Lkvv3z0Gb//zmAmIMCYX36xf81XrjBoiw7GIiLsv2diRUYyM/bPP/x7VJQx8+YZkzmzMRkyGDNt2qOZtCeVAiMRsZsCI0kOx44Zkz07gyMPD2Pat2fQ0a2bMeHhxnTsyL9//nnMz+3YwcxNkSLMBvXowa2zlSsffcb588aULs1g6uEMVGLcv2/MiBF8XpUqzsvOnD9vTPr0xrRrF/PrV64Y07Ytf26VKxtz9KgzVpeyKDASEbtFB0ZBQUEmODjYLFiwwNlLklTqxAljcuZkcOTmxmDIYmGQFBFhzDvv8B/5ESNifu7QIdbV5M5tzIEDxrz6Kmttjh9/9BlhYcxAWSzGjBrlmEzK1q3GPP00f23dav/9EuOrr/izWbfu0e9t3GhM/vys4xo61Jh795J/fSmFAiMRsZsyRpKcTp5kgBMdHHXuzN9btOA/6IMHMwDo2zdmUPPXX8YUKmRMpkwMTqZMiTvouX+fNUwAgy5HBArnzzNr5ObGwO3+ffvvmRBRUcZUq2ZMnjyxF5mHhRnTrx+3JAsXZqbtSaTj+iIi4lLy5eNx/UyZ2GTxq684q2zJEnZ87tcPGD+e0+a7dbPODMuZkz2QnnsOqFOHYzziGijr5sYp9bNns2Fj7drWOW2J9cMP7CfUrx/w/vscPGvvPRPCYmHPpsuXgf79H/2+ry/w8cfsOJ4mDWfQvfkmcPNm8q0xRXB2ZCYirk8ZI3GG06eNyZePmSPAmK5deTqtTh1j7twxZvp0ZmdatmQNUrTbt40JDmZmZPbs+J8TGsosU2Ag65wSIyrKmBo1jMmShZmrNWtY95QnjzE//5y4eybWuHHcJty+Pe5rIiONGT/emLRpjcmRw5jly5Nvfc6mjJGIiLik3LnZFTtbNsDPj92uO3Rg1+x69YBmzYBFi5hJatwYuHuXn0uTBli2DGjXDmjblg0QH6diRXa2tljYIDE0NOFrtViA+fPZsLJxY+CVV4BffwWefprjTT77LPkGvvbowffo2NH6M3mYuzsbZR48yGabDRpw3efOJc8anUmBkYiIuKycObmtFhBgDY7atWMgExTEsRgrVrBzdt26wL//8nMeHtyC+/BDoE8fdr6O3nKLTf78wE8/AcWLczDr7NkJX2uWLJzj9uuvHPAaHdh168ZgpXnz5OlI7e4OTJvG38+cefy1efJw1MqiRdyGLFQImDLl8T8rl+fslJWIuD5tpYmznTtnzLPPWrfV3niDx9NLl2bvntBQY/z9jSlTxpirV2N+duJEbi299hqLrB93Cu3BtgD9+yeugHrKFH7+wW28JUu4vsBAY377LeH3TIyErv3qVWM6dODaK1TgSb/USBkjERFxeQEBnK2WOzczR19+yQzMiRPctnruOW6xnTjB+WoXLlg/26MHMyKLF3MLrmFDYOLE2J/j6ckC5jFjOLG+WTMgLCxha+3UiYNnu3SxDsFt3JhFzz4+QJkywMyZifkpJIxbAiOAjBmZadqyBbh4kdmzwYOBe/eSZn3OYjEmuXY1RSS1unnzJtKnT48bN24gXbp0zl6OPMEuXQKqVQP+/JPbZp07A8uXA5kzA5s28RRYjRqsM9q4kVtF0TZt4qDatGkZOH39NdC0adzPWr4ceO01oHBh4LvvGJzZ6s4dnvq6cQM4cIAnwqK/3qMHMH06g6fPPuNaU5q7d4Fhw3jyr2BBbkuWL+/sVTmGMkYiIpJqZM0KbN4MPPMMA5ypU4HgYOD6daBSJcDfn8fm799nUfXRo9bPVqvGrFNUFK9r1YrZkbg0aMC6m7NnmeX57Tfb1+nrC3zzDTB8uDUoiv76tGnArFnMYpUtCxw7ltCfQtLz8WFgtHcvkC4dC8i7dmWg5+oUGImISKqSJQuDo4IFGRxNnw7UrAmEhzM4AhjQ+PszOIrezgKAEiWAHTuYYbJYGFQ9LuApUYKF3pkzMzhYvdr2debLx+2+2LRty/uGhwMvvcSTdSlR0aLAjz8CkyYB8+YBzz/PE3+uTIGRiMQQERGBvn37omjRokibNi2yZ8+ONm3a4NyTcE5XUo1Mmbg19uyz3IqaNQuoXJmn0SpWBG7f5mm23LlZc7Rjh/Wz0SfQnn+eW1uvvAKcPh33s3Lm5OmyV15h08aJEx1z9L5oUWD3bjajbNqUW2wpsZ7H3Z2NIA8dAkqVAho14pbk3387e2WJo8BIRGIICwvD3r17MWDAAOzduxfLli3DsWPHEBIS4uyliSRIxoysIypcmMHR3LncmkqXjpmjCxeYWSpWjHVHGzdaP5stG4Od8uWBa9eAcuWAq1fjfpafHzMlvXqx/8+bbwKRkfa/g78/sHAha42mTOG6Hxek2cMYPiexGZ9cuVh3tXQpsHMnj/Z//rkLHu139rE4EUn5du3aZQCY06dPx/p9HdeXlOzaNR7TT5OGx/KbNTOmWDF2s967l52wg4LYNfvbb2N+9u5dfg8wZsAA2543daoxHh7G1KplzPXrjnuPXbvYKfupp4xZtcpx940WFWVMo0b8uZw7Z9+9rl3jDDvAmJdf5uBeV6GMkYjE68aNG7BYLMiQIYOzlyKSYBkyAOvXMzPk48N6nYIFWePzyivA/v3MdNSvz2Pzc+daP+vtzQaHb77J2WmDB8e/TdapE7B2LbMm5crxhJwjlCrFYufy5dlW4P33HZOVimaxsM2Bhwe7YtuzHZghAzNcoaHMuL34ouPWmdQUGInIY929exf9+vVDy5YtdRRfXFa6dMC6dUDJkoCXF/Dtt9z6KVSInax//plbVu3aAW3aAJMnWz/r5sa6oREjgEGDePrq/v3HP69aNQZGd+8CpUuzZslWFy5wfEhsMmZka4CRI4HRo7n28+dtv3d8Mmfmqbg1a/i7vaKL22MbWptiOTtlJSLONW/ePJM2bdr//woNDf3/98LDw039+vXNiy+++NhtMm2liau4dcuYSpWM8fHhdlf9+sZUqWKMr68xGzZwEUECRgAAHidJREFUO6lXL24BjRjx6OenTeNg2oYNOag2Ppcvs0u0t7cxCxfatsaRI7nlt2bN46/bts2YgABjsmUzZvNm2+5tq44dOUD2jz8ce19XoAaPIk+4W7du4eLFi///e44cOeDr64uIiAg0bdoUJ0+exObNm5EpU6Y47xHd4DEoKAgeHh4xvteiRQu0aNEiydYvklC3b/MY/o4dLAyuWZNbUlu3srdQnTrAkCHMDvXpw+yMxWL9/IoV7HhdujSzN/HtMN+7x62pefO4FTdgQMz7PSwqitt627fzVFrBgnFfe/Ei0LIl1z5kCDMzCe1oHZtbt7j1mCMH7+3ubv89XYazIzMRSXnCw8NNgwYNTOHChc2lS5fivV4ZI3E1t28bU60aMzmensbUrGlMvXr88zff8Jpx46xz1x6eK/bDDyyCfuEFY86ejf95UVHGDB3K+732WvzZpuvXOfvt+eeNuXnz8ddGRhrz4Ye8d1CQMVeuxL8eW4SGMnM1erRj7ucqlDESkRgiIyPRqFEj7N27F6tWrUK2bNn+/72MGTPCy8vrkc9oJIi4ojt3mJnZto0ZnAoVgKeeYv3RnDnMxMyYwWLq5s3ZC8nT0/r5gwdZvA0wuxMYGP8zFy9m88YSJVjwnSVL3NcePcqsVNWqPEIfXyZo7Vp2606Ths8pWzb+9cRn9GiutXp1++/lMpwdmYlIynLq1CkDINZfW7ZsifUzyhiJqwoLM6Z2bWaKfHxYb9SqFTMl06fzmsWL+f2QkEczPfXr89oMGYz5+WfbnrlzpzFZsxqTL58xBw8+/tqVK3n/QYNsu/eZM8aULcv1jh/PTJUkjDJGImI3ZYzEld29y27NGzbwqHrJkuyYPX06Gx527w58/z3QsCGP33/3HRs6Asw6Va0K7NnDbNKyZUDt2vE/8/RpHrn/6y+2D6hRI+5rhw1jXdL339t27/BwoG9fYPx4th+YPp2n8sQ2Oq4vIiJPNB8fa0ATEcFeQQcP8lj+m28Cn34KBAVxq2r3bm4r/fMPP+vry4AlMJB9f4KD4z5q/6A8eThjrFw53vvLL+O+9oMPgE8+4bW28PICxo1jB+r16xnoJWTA7ZNOgZGIiDzxvL0ZSNSrx1Nk+/czCHrnHeDdd5m1qVyZI0SOH2eWKPow51NPMQDJmpWZpFatgLFj439munQ84da1K3/16hV7fySLBejdO+FZn0aNmMlKm5b1RjNmJOzzTyoFRiIiImCmZfFioEEDBkdHjvCoev/+3Mr64ANmX0JDgcuX2bzwzBl+NkcOBkfu7vxz79486h/fnDAPD06mnzSJTSQbNOBReUcpUIDNJVu3Bjp0AF5/HQgLc9z9UyMFRiIiIv/x9GQH7FdfZf3QiRPA6tXsaTRiBAOeQoWAH35g76MKFYBjx/jZZ59lx+jr13na7ZNP2Ek7IiL+5775JkePbNvGgOuvvxz3Tr6+wNSpPGm3eDFQpgxPvNnj7l3HrC0lUmAkIiLyAE9PYMECoEkT4N9/WSi9eDEDo3HjgG7dgLx5eUTfz4+BTHQNT+nSHC+ybBkDrEWLGCTdvh3/c4OC2HTy+nXe55dfHPterVsDu3YxoHvpJeDrrxN3nx9/5Jw5e4OrlEqBkYiIyEM8PDhMtkULbm2dPw/Mns1C7ClTuC319NPcVsuVC6hSxToPrXBh9hxq1owZpO3bOTvtypX4n1ukCAOrPHmASpXYiduRChdm7VRwMHszvfkmtw0TonhxIH16/mwS+llXoMBIREQkFh4eDIZatWIW58oV4IsvgAkTGDS99hoDhE2bgKJFeeR+48aY96henXVKp05x2+306fifmy0bsGULEBLC4/YjR8Y+6d4YrufChYS9l58fT8598QXw1VfMeP35p+2fT5uW2bCDB4H330/Ys12BAiMREZE4uLvzNFe7dsDVqwyQxo1jsfSyZUDTpjzuv3YtA4y6ddnR+kElS3L7KSKCR+7374//ub6+3M4bMIDF3x06sD/Rg65dA4YOZT1UQmt+LBbgjTe4dXflCrtbr1pl++dffJEB29ixfPfURIGRiIjIY7i7A9OmcRDslSusOxo5khmX779nYGKxsPFjdJZn3ryY9yhQgMFRtmwMoLZvj/+5bm4cDDtnDjM8NWta+ycBQMaMDML27QM6d449qxSfkiV5pL9iRW6v9evHGiRbvPUWUKsWR5w8MIfa5SkwEhERiYebG2uL3niDR/Xv3gU++oiNGbduZf+jiAgWW7dty0LnyZNj3iNbNgZYJUty2+3hzFJcWrfmdt2BA+xHdPy49XulSzOjNXcuMGZM4t7tqae4ltGjeZKuWjXg3Ln4P+fmxq1GgG0A4mtN4DKcPZNERFyfZqXJkyIqypju3TnJ/umnjQkIMGbuXGP8/IwpX96YGzeMuX/fmLff5jUff2z97PjxvO7HH41p0sQYNzdjpkyx/dknThjz3HPGPPWUMQ+PLfzgA85UW7HCvvcLDTUme3bOctu0ybbPfP8933XjRvuenVIoMBIRuykwkidJVJQxPXsyGAgIYBAxfz4HyZYqZczVq7zmo494Td++/Pu//3LAa+bMxhw4YA2wBg+2fdjrP/8YU60ah8TOmGH9+v37xjRowMBr/3773u/iRT7Dzc2YoUN57/gcOGDfM1MSBUYiYrfowCgoKMgEBwebBQsWOHtJIkkqKsqYXr0Y2OTIwWBn0SJjMmUyplgxYy5d4nVjx/Karl0ZYFy9akzhwsbkymXM6dPGDBtm/X5kpG3PDg83pnNnfq5fP2vgcuuWMS+8YEzBgrzGHpGRxgwcyCxU7drGXL5s3/1cicWYxJRriYhY3bx5E+nTp8eNGzeQTmO85QlhDKfYjxkD5MzJJo5ffMGi5IwZWRcUEMC6os6dgZYtgZkzgUuXgPLlgTRpWIT97bdAly4s4p43j6fcbHn2uHGc49awIQu006RhO4A//gBeecUx77h+PdsS+PiwyeXLLzvmvimZAiMRsZsCI3lSGcNePiNHstHjzZsMhN5+m0fuN20Ccudml+lWrXicf9EijvwoX54dpDdt4q/mzVlcvXw5+yPZ4rvvGHAVKsSBtAEBjn/Hv/9ms8pduxgEvvUWT+GlVjqVJiIikkgWC0eFfPghg50MGYD27ZnNiYxk9+qTJxlYLF8OrFvHE2wBAez/c/gwA6b69YENG3j0vnJldtq2Rf36nNt2/jxPqEWPJnGknDl58u6tt4BevTgq5cYNxz8npVDGSETspoyRPOmMAQYP5q+8ednvaOZMZpNu3wY2b+aQ2W3bGBgVLcrhtL//ztls5crxPgcOsDeQlxe3sQoWtO35Z8+yh9KxY+xKXa9e0rzn8uVsdpklC7BkCceDpDbKGImIiNjJYgEGDWJDxj//ZODQti0wfDizSJUqseN15coMko4eBapWBZ57zhoUAZyV9tNPgLc3t9psHSSbIwfntlWvzizS+PGJa/gYnwYN2BDS35/1Rl99Ffdzzp59tNGlK1BgJCIi4iADBjAYOnWKQ2bbtGEjyOzZOWh2716gVClmji5dYsB05kzMe+TOze2xZ57hZ9avt+3ZadNy6Oy773LLq1s3Np10tPz5OUqkbVsWlbdty6zYw+bO5ftv3uz4NSQlBUYiIiIOFF2MffIkMzmtW3PURoECPC22cyczQ9u3c/5ZhQrcAntQ5swsyK5cmQXbCxbY9mw3N2DUKGZypk3jZ69fZ4aqSxfbx33Ex8eHXb/nzmUwVqYMcORIzGvee4/v27JlwgfdOpMCIxEREQfr25fjNf74A8iTh8HR22+ztqhGDW575c/PzJCfH2eV/f57zHukTcuantde46/x421/fseOLPTevZtbdXv3cnTI22879j1bteIzoqKAl15ifVM0d3fOeLNYGBy5CgVGIiIiSaB3b55OO36cBdlt2nDWWpkyQO3aPIWWIwe31XLmZHZo507r58PDWZg9cyYDrV69mHmytXYoOjsVHs4TZe+8A3z+OfDZZ459z0KFeJS/QQMGQN26Affu8XvZsjFY2rbNsc9MUs7sLikiqYNGgojEbeJEdqkODDTG3d2YOXOMqVPHGC8v62yz69eNqVDBmLRpOXPs1Clj8uUzZsMG633GjeN92rZNWGfrK1eMqVTJGG9vY4KCOOpj9WpHviFFRRnz5Zd8r5IljTl50vq9oUMd/7ykouP6ImI3HdcXebzJk4Hu3Xlk//hxYPp0YOVKNmVcuBBo3BgICwMaNWKx8vz53PoKDWWtUZkyvM+CBTwuX6MGO1GnTWvb8+/dY43R7NlAYCBw7hwLqIsWdfy77t3L97l2jc8LCeFWm5uL7FG5yDJFRERcV7duwJQpLIIODGQTyKAgNkts1ozH2tOkYSfrkBB2wW7cmH2CgoLY3wjgVtWqVdyaql4duHrVtud7e3NLbvhwFnp7eLAwOymKokuUYHBUpQpbB/TpA9y/7/jnJBUFRiIiIsmgc2eeFDtyhP2LOnXicf22bVl/NG0aGzsuXMi/d+zI+Wm5cwM1a7IFAMA/b90KnDjBE20PH/ePi8XCE3OLFwN37jAo+uijpHnXDBmAZctYgD52rONmtyUHBUYiIiLJpEMHZm4OH2bRcteuwIsvsii7UycWRnt4MEjq2ZM9ierV45ZZ9erWUSEvvQT8+CNw9y5PnUVnlGzRpAm36NKn58m1Q4eS5l0tFhagb9tmDepcgQIjERGRZNSuHTBnDoOjwoUZABUowFNjPXpwUKubG0+0DRzI7a8aNRgE1azJ2h2AW3I7drDnUcWKPPpvq9Kl2cE6XTp2sLa1iWRilC8P/Ppr0t3f0RQYiYiIJLPWrVlXdOgQg6PevYGsWTmMtk8fjhYBOHvt00+BL77gtluJEmyuGC0ggBmZ4sUZPK1YYfsaojtsV6gA1KnDZySVLFmS7t6OpsBIRBymefPmCAkJwcIHu7yJSKxatmQ90eHD7ITdrx+LpIcNY+3P+++zZ9E777CT9ddf83SXp2fM+6RPD3z/PbfcXn2VJ95slS4dC767d2eBeK9erlUonRR0XF9E7Kbj+iKJt2QJ0KIF8PzzrBUaOJDBTu/ebMw4bhzrdb7+mp2m69YFFi2KmTkCGND06MHMz7BhDKwsFtvXMXkyt/Vq12bA5u/v2Pd0FcoYiYiIOFGTJjwpduQI+woNGQJcucIu1RMmsDA7KorH+r/7jgXT9eoB//4b8z7u7vzMkCHckuvZM2HZn27dgNWrWZhdvjzw11+OfU9XocBIRETEyRo2BJYutQZHH3/MIbQzZvCE2uuvcwBsnTrA2rXAzz/HLMSOZrEAAwawZ9LkycxERY/nsEWtWsxKHT/OAu3dux37nq5AgZGIiEgKUL8+e/8cPcrg6NNPgX37WKQ9fz4HyUZEcKba5s28rmpV4OLFR+/VuTOn3q9YwWDq5k3b19GsGYOwqCg+a+lSx72jK1BgJCIikkLUqwd8+y27UxctCkycCGzfzvqib7/lttu9e0CpUjyNdukST6v17s0M0YMaNOAx/D17GODY2uW6cmUWe1+6xBEmTZowg/WkVCQrMBIREUlB6tRhLVF0cPTllzx1tmwZt9Hq1+dctSJFGDSFhzOQ6d6d2aUHVarEay5eZN3QiRO2raFdO6B/f2asmjZlIXf79nxWaqfASEREJIWpVYsz0Y4fZwA0cyZPr61YwUCnbl0WX+fPz15EOXLwlFrbto/2MipalI0gPTwYHO3da9sahg3jvLZVq4ChQznAtkYN2+ezuSoFRiIiIilQ9eo8JXbiBMeHzJ8PzJrFr+3Zw+Dpxg0GRaGhnL/m7s5gZvPmmPfKm5cjRPLm5VbZxo3xP9/NDZg9mw0oJ09mYHToEFC2LLNZqZUCIxERkRTqlVe4jXbyJPscLVnCIGXtWgYp1aoxg5MlCwfLlirFoum6dXly7UGZMzNgiu50vWhR/M9PkwZYuZKfzZCB9/TwYHC0ZUuSvLLTKTASERFJwSpXZiB06hSzQsuXc57a+vXA6dM8mXbpEptCbtjAv9+7x6Bp//6Y90qbllttzZvzKP/EifE/P1s2zjqrVg145hngp5+AkiXZLmDGjKR5Z2dSYCQiIpLCVazIxo5//snhsWvWsJHjhg3A5csMns6dY4Zn1SogOBi4fZtbbw/z9OTX332XnbX794//xJm7u/XPGTLw+R068FffvsxSpRYezl6AiIiIxK98eWaJatcGChRgnVBkJL9Wty5PoG3aBOTJwx5GHTtynEjBguye/SA3N2adnn6aAdLFi8DUqdwms4WnJ0ePBAby88ePA3PnMiPl6pQxEhERcREvv8xA6OxZbmuFhnLw67p1zNpUqgT88QcDnBkzODuta1dg1KjY79e7NwOauXM5gDYszPa1WCwccLt8OdcUnbVydQqMREREXEiZMswWnTvH7NDOnQx+vv+eR/YrVuRoETc3YPx4jgjp14+9iGLbMmvVigXWW7bwJFxCj+OHhLBlwIULHCPy66+OeU9nUWAkIiLiYl56idtmFy4AuXLx+H6HDqwvypiRmaPff2dWZ8gQ4JNP2L26R4/Y64Fq1+aJtePHGVjZOkD2zz95dL94cWDXLm7NVaz4aC8lV6LASERExAWVKMFg5vJl9jLavx9o3Zpds3Pm5Om0X37htb17s4Zo8mR2tY6MfPR+pUuz11FYGFCuHHDwYPxr6NABCAriGrJn55iSmjU5juTTT11zjIgCIxFxmObNmyMkJAQLFy509lJEngjFizM4unqV2ZqjR3kU/5tvWBhdrRq7XgNAp05s0rhwIRtGxlZPFBjI6zNmZOYn+rNxmT6dp99CQoA7d1h8vXQp0KcPi7LfeIODb12JxRhXjOdEJCW5efMm0qdPjxs3biBdunTOXo7IE+fAATaDzJAB+Ocfbq99+y1HhOzZwy22KlV47aBBwODBzPAcPQr4+T16v+vXOZNt1y5g8WIe/4/L7t0svK5bl8Nu3f5LucyYAXTpwu8tXcq1uQJljERERFxckSLsfH3zJvDUU8DffzOLM3s2t8WCgnhyDWBg1K8fi7cDA4Fr1x69X4YMvD4oiKfVHtfIsVQpZqG++Yb3jda+Pfss7d3L03SuQoGRiIhIKlCoEIOj27fZBfviRY7+mDKFp81CQqxF0R9/zLqj8+c5auTSpUfv5+PDESQdO7KWaMSIuGuG6tfnCbgxY4Avv7R+vUoVnpqLraYppVJgJCIikko89xyDozt3uEV2/TpPnE2cyO2wRo0Y7AA8qdazJwOoIkViP4nm7s5GjoMGAR98wE7ZcXW57tmTv7p3Z3+laIGBDI5chTpfi4iIpCKBgTwdVrUq4O3NDFKNGmzC6OPD4uy7d3mCbcIEIDycWZ7ixRnAFCwY834WC/DRR5yZ1r07A6k5c3jvh40dy95KpUvH/HqmTEn3vo6m4msRsZuKr0VSnpMnGRxZLNwCc3NjY8iRI3mabMoUnlQzBnj9dRZOp0/PAOqFF2K/57JlHD5bsSL/nBr/766tNBERkVTomWeYOYpmDAOlPn2Y+encGZg0iYHTjBnA4cM8qVa5ctxbXw0bMnDavZv1QxcvJsurJCsFRiIiIqlU3rwMjtzdgfv3Ofy1ShUGRu+9x5qg0aOZTcqbl2NBihRhsfbmzbHfs3Jl1hCdP8/Btn/8kYwvlAwUGImIiKRiefKwINvbG7h3j00Yq1Zlj6OBA4G+fdnXyBhupa1bB1SowBNtcY32KFaMzR/d3NgOwNXnoz1IgZGIiEgqlzs3g6M0aazH+atWBRo35tH9QYOA/v0ZHKVJw7Ei9epx62zBgtjvmS8fR4jkycMsUlwZJlejwEhEROQJkDMngyM/P+DGDSBLFgZHtWuzB9GoUcDbbzM48vYGFi3iybVWrVioHZssWRgQvfwy77N4cezXudIxLwVGIiIiT4js2RkcZcjA+WrZs3OUSPnyDH4mTeIYj6gowMODp9dq1eLMs9GjY7+nnx+wciXQtClbAUyalKyv5HAKjERERJ4gAQEMjjJl4qmy3Lk5bPaFF4BZsxgMtWvHbtXh4cDx4xwz0rcvmzzGlv3x8mJvo169WND94Ycxr7NYkunlHECBkYiIyBMmWzaeQMuWDTh7FihQAKhZE8ifn3PPFi4EWrbkabaNG1l3lC0bx4L07Bl792s3N+DTTzkWZPhw9khypVEg0RQYiYiIPIGyZmV9UI4cwJkzHCdSqxYDoKVLWYDduDEzTBs3MhjKkwf4/HM2hIwr6Hn3XQ6vnTWLI0jCwpL1teymwEhEROQJlTkzsGkTkCsX+xEVKQIEBbFu6Lvv2Myxfn1ut61fz9lrgYE8qdasGY//x6ZNG9YdbdzITNQ//yTve9lDgZGIOEzz5s0REhKChQsXOnspImKjTJkYwOTLBxw7Brz4Io/qA8CaNcAPPwB163K77fvvgb//BooWBVavBkJCePw/NkFBzEgdOQJUqpR872MvzUoTEbtpVpqI67t+ndmdY8dYiP3zz8A33wAZMzLIKVyYgdEvvzBwGjCAPZCKFQNWreJJt9gcPcr7nj6dvO+TWAqMRMRuCoxEUocbN9iP6NAhoEQJNnD8+mtutdWsyflr69YBd+6wL9KuXbw+Tx5+PWvW2O979ixrmVyBttJEREQEgHUkSJEiwJ49QMWK7E906hSP+J85w6aQXl68vnRpzk27cIHbZX//Hft9XSUoAhQYiYiIyAPSpQPWruUW2a5dDISaNwcOHOBA2itXOALk7FleX6QIsH07cPcuZ6ydOOHc9dtLgZGIiIjE4O/PeqISJTgstmZNjgfZtYsZorAwZoii64YKFGCRtq8vs0z79zt3/fZQYCQiIiKP8PPjqbTo7bKgIPYv2raNfwcYHEVniHLm5NcDAphR2rXLeWu3hwIjERERiVXatDxxVq4cj94HBwMdOzKbFBrKDFGlSsDhw7zexwfo3RsoVIhjRrZsce76E0OBkYiIiMQpTRpgxQpuka1fD7z6KtC1K4/yb9vGJpGVKwO//cY5a61bc9ZauXLMMq1c6ew3SBgFRiIiIvJYvr7shF2lCrfXGjcG3noLmDePWaFcuVikXa4c0L490KULt93q1gUaNuTsNVfh4ewFiIiISMrn4wMsX875ZytWcCTIu+8C4eEcK1KnDlCjBjNEt29zLMiyZSzkfu01oEULZ7+BbRQYicgjBg0ahEWLFuGvv/6Cl5cXSpYsieHDh6NMmTLOXpqIOJG3N7fQmjZl0NOyJfD++0BEBPsfBQczQPr2W55ca9KEo0Ncqe+rAiMReURgYCA+++wzPPPMM7hz5w7GjRuHmjVr4sSJE8iSJYuzlyciTuTtDSxZwt5GS5YArVoBH33E4Gj1am6dhYSwY3ZYGIfQbtjg7FXbTiNBRCRe0SM/Nm7ciGrVqsX5fY0EEXlyRERwe+y775g5mjMH6NMHGDSI22xr1wJz5wKTJnGEyJ49zl6xbZQxEpHHCg8Px9SpU5E+fXoUK1bM2csRkRTC05NF1a1aAQsW8CTa6NGsOYrOJL32GvDVV2wQ6Sp0Kk1EYrVq1Sr4+fnBx8cH48aNw4YNG5A5c2ZnL0tEUhBPT2D+fNYSzZ3LE2njx7OX0fz5zCh17Ahs3OjsldpOgZHIE27+/Pnw8/P7/6/t27cDAKpWrYp9+/Zhx44dqF27Npo2bYpLly45ebUiktJ4eDAoatECmDWLgdDkyUCPHsDMmQyW2rVz9iptpxojkSfcrVu3cPHixf//PUeOHPD19X3kuoIFC6J9+/bo37//I9+LrjEKCgqCh0fMHfoWLVqghauc0xWRRLt/H+jQgUFSx47cQmvbFpg6lRmkiROdvULbqMZI5Ann7+8Pf3//eK8zxuDevXuPvWbRokUqvhZ5Qrm7AzNm8PevvgI6d+bvERHMHLkKBUYiEsPt27cxfPhwhISEICAgAFevXsXkyZPx999/o0mTJs5enoikYG5uDIbc3Zkp6tKFf4+MBBYtcvbqbKPASERicHd3x5EjRzB79mxcuXIFmTJlQqlSpbB9+3YULlzY2csTkRTOzQ348kvWHn3xBfDGG5yh5ioUGIlIDD4+Pli2bJmzlyEiLszNDfj8c+vvb7zh7BXZTsXXImI3NXgUkdgYA/TqBUyYwD+7AmWMREREJElYLMC4caw5chXKGImI3ZQxEpHHMYZBkitQg0cRERFJUq4SFAEKjERERET+T4GRiIiIyH9UYyQidjPG4NatW/D394fFlXLmIiIPUWAkIiIi8h9tpYmIiIj8R4GRiIiIyH8UGImIiIj8R4GRiIiIyH8UGImIiIj8R4GRiIiIyH8UGImIiIj853+58j8QJX1eYwAAAABJRU5ErkJggg==\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='steelblue', 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='steelblue') \n",
"graph += hor + sing + region_labels\n",
"show(graph, 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": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_III, (T, X, th, ph))"
]
},
"execution_count": 20,
"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