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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"WIP\n",
"\n",
"This is an experiment about how to use fenics and PyMC3 to\n",
"sample from the posterior of a bayesian model involving\n",
"partial differential equations.\n",
"\n",
"There are lots of people who work with partial differental\n",
"equations all day, and lot of people how work with bayesian\n",
"models with PyMC3 or Stan, but by guess is that the\n",
"intersection might not be all that big. So to set the stage,\n",
"I'm going to say a few words about each, feel free to skip\n",
"this if you know what they are about.\n",
"\n",
"- Equations about functions. Normal equation: find a number\n",
" with certain properties involving multiplication and addition.\n",
" Differential equation: Find a function with properies\n",
" involving derivatives. Partial differential equation: the\n",
" function can be multidimensional and we talk about\n",
" derivatives in different directions.\n",
" There are different methods for solving those, but we look\n",
" at finite element approximation.\n",
" These partial differential equations (PDE) come up all over\n",
" the place: weather forecasts, climate models, simulating\n",
" the expansion of the early universe, or car crash simulations.\n",
" If you read about a \"simulation\" of almost anything, there\n",
" is a good chance that this involved solving a PDE.\n",
" Approximate solution using FEM: Set values of multidim function\n",
" on certain points of a mesh and interpolate between those.\n",
" Leads to large sparse linear systems, usually solved by\n",
" iterative solver.\n",
"- Statistics. Parameters that I want to know. Do some measurement,\n",
" What can I say about those parameters? Bayesian methods allow\n",
" us to talk about a distribution (the posterior) on those\n",
" parameters: For each combination of values: how likely is\n",
" that combination. This is in contrast to many other methods\n",
" that just give one value for each parameter --a point\n",
" estimate-- and maybe a measure about how precise that is.\n",
" This can work well for a small number of parameters, but the\n",
" more parameters we look at the less meaningful point\n",
" estimates can get.\n",
" \n",
" We use hmc: Walk around in the parameterspace, but use the\n",
" gradient of the logp.\n",
" NUTS sets parameters automatically.\n",
" \n",
" Gives us samples from the posterior: Possible combinations\n",
" of parameters.\n",
" \n",
"\n",
"Why would we want to combine those? PDEs are great\n",
"at telling us what will happen if we know all parameters.\n",
"We can tell how the weather will be tomorrow (more or less),\n",
"if we know the pressure, humidity, temperature, wind speed,\n",
"topography etc.;\n",
"We can compute how much a bridge will bend if we know the\n",
"strength of every part of it. But what if we don't? What if\n",
"we know some things about the parameters, and some part of the\n",
"outcome; how can we use that to further gain understanding\n",
"of the parameters? Bayesian statistics gives us a framework\n",
"to talk about this.\n",
"\n",
"We are going to use groundwater flow as an example from now on.\n",
"\n",
"## Pumping test\n",
"\n",
"Imagine, we are at the center of an island, and start steadily\n",
"pumping water out of the ground. At first, we will get water\n",
"that was stored close to us, but the longer we pump, the\n",
"more of that water reserve will be exhausted, and the water\n",
"will flow to our well from further and further away.\n",
"At some point all of that water will come from the nearby\n",
"lake, and flow of water will stop changing.\n",
"\n",
"If the rock was perfectly uniform, an equal amount of water\n",
"would come from each direction (our hypothetical island is\n",
"perfectly round), but not so if the water can travel more easily\n",
"through some parts than others -- if the *transmissivity* $T(x, y)$\n",
"varies.\n",
"\n",
"We will now look at three values that change by position:\n",
"\n",
"- The transmissivity $T$. A measure for how easily water can\n",
" move though the rock at a position.\n",
"- The flow $q$. This is a vector field, that tells us\n",
" how much water is moving though a point and in which\n",
" direction.\n",
"- The pressure $\\phi$.\n",
"\n",
"...\n",
"\n",
"$$\n",
" \\nabla \\cdot (T\\nabla\\phi) = f \\\\\n",
" \\phi = 0\\; \\text{on $\\partial \\Omega$}\n",
"$$\n",
"\n",
"For a given transmissivity function, we can now use fenics to\n",
"solve this equation to compute $\\phi$ and then $q = -T\\nabla\\phi$.\n",
"But if all we have are measurements of the pressure at a couple\n",
"of points, we can not easily tell what the transmissivity is.\n",
"Even if we had exact measurements, there would still be more\n",
"than one possible solution.\n",
"\n",
"A common way to deal with problems like this, is to try and\n",
"find a single transmissivity function that both explains\n",
"the observations (ie it minimizes the squared error), and is in\n",
"some sense \"simple\". More formally, find\n",
"\n",
"$$\n",
"\\DeclareMathOperator{\\argmin}{argmin}\n",
"\\hat q = \\argmin_{q\\in V} SQE(\\phi(q), m) + \\gamma R(q),\n",
"$$\n",
"\n",
"where $SQE$ is the squared difference between our measurements\n",
"and the values that we would predict for the given $q$ by solving\n",
"the PDE, and $R$ is a regularization term --some measure for the\n",
"\"simlicity\" of $q$.\n",
"\n",
"...\n",
"\n",
"get to \n",
"\n",
"$$\n",
"\\pi(q\\mid m) \\propto \\pi(m\\mid q)\\pi(q)\n",
"$$\n",
"\n",
"if we look at this on a log-scale and assume that our measurement\n",
"error is normally distributed, this might look familiar:\n",
"\n",
"$$\n",
"\\log\\pi(q\\mid m) = \\log\\pi() + \\log\\pi()\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 175,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import fenics\n",
"import seaborn as sb\n",
"import numpy as np\n",
"import mshr\n",
"from scipy import spatial, linalg\n",
"import matplotlib.pyplot as plt\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We'll start by defining a mesh and function space for\n",
"pressure and transmissivity."
]
},
{
"cell_type": "code",
"execution_count": 176,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def make_mesh(refine_center=False, density=10):\n",
" center = fenics.Point(0., 0.)\n",
" circle = mshr.Circle(center, 1)\n",
" mesh = mshr.generate_mesh(circle, density)\n",
" \n",
" if refine_center:\n",
" cell_markers = fenics.CellFunction(\"bool\", mesh)\n",
" cell_markers.set_all(False)\n",
" for cell in fenics.cells(mesh):\n",
" if cell.midpoint().distance(center) < 0.3:\n",
" cell_markers[cell] = True\n",
" mesh = fenics.refine(mesh, cell_markers)\n",
" return mesh"
]
},
{
"cell_type": "code",
"execution_count": 290,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"mesh = make_mesh(density=10)"
]
},
{
"cell_type": "code",
"execution_count": 291,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"V = fenics.FunctionSpace(mesh, 'CG', 2)"
]
},
{
"cell_type": "code",
"execution_count": 292,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1425dbfd0>,\n",
" <matplotlib.lines.Line2D at 0x1427000b8>]"
]
},
"execution_count": 292,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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ISUkJNTU12NjYMDU19Vz/B0BXVxfFxcVUVFQwNjam9gAPDg4SHBw8q1JUCWVa/vTwqiAI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\nT/vC2gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1425e39e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fenics.plot(mesh)"
]
},
{
"cell_type": "code",
"execution_count": 293,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"835"
]
},
"execution_count": 293,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"V.dim()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we generate a transmissivity function as ground truth.\n",
"We will later try to reconstruct this from simulated measurements.\n",
"The transmissivity varies from point to point, but close\n",
"points will usually have a similar value. We use\n",
"a Gaussian Field to model the transmissivity. As it is\n",
"always positive, we assume\n",
"\n",
"$$\n",
"\\log(T) \\sim \\mathcal{GF}(0, \\tfrac14 \\text{Matern32(0.3)}))\n",
"$$\n",
"\n",
"The matern kernel makes sure the transmissivity is not too\n",
"smooth, but varies at lower lengthscales as well."
]
},
{
"cell_type": "code",
"execution_count": 358,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def make_conductivity(V, mesh, length=0.3):\n",
" Wdofs_x = V.tabulate_dof_coordinates().reshape((-1, 2))\n",
" V0_dofs = V.dofmap().dofs()\n",
" points = Wdofs_x[V0_dofs, :] \n",
" dists = spatial.distance.pdist(points)\n",
" dists = spatial.distance.squareform(dists)\n",
" \n",
" # QuadExp\n",
" #alpha = 1 / (2 * length ** 2)\n",
" #cov = np.exp(-alpha * dists ** 2) + np.eye(len(points)) * 1e-5\n",
" \n",
" # Matern52\n",
" #tmp = np.sqrt(5) * dists / length\n",
" #cov = (1 + tmp + tmp * tmp / 3) * np.exp(-tmp)\n",
" \n",
" # Matern32\n",
" tmp = np.sqrt(3) * dists / length\n",
" cov = (1 + tmp) * np.exp(-tmp)\n",
" \n",
" norm = np.random.randn(len(cov))\n",
" chol = linalg.cholesky(cov)\n",
"\n",
" q = fenics.Function(V)\n",
" q.vector()[:] = np.exp(0.5 * chol.T @ norm)\n",
" \n",
" return q"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Fenics doesn't plot higher order functions directly,\n",
"but always projects them to first order (piecewise\n",
"linear) functions first. We can project our functions\n",
"to a finer mesh ourselfes, so that we can still see\n",
"the detail. Bright colors are a low transmissivity,\n",
"dark colors a high transmissivity."
]
},
{
"cell_type": "code",
"execution_count": 359,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"plot_mesh = make_mesh(density=40)\n",
"plot_V = fenics.FunctionSpace(mesh2, 'CG', 1)"
]
},
{
"cell_type": "code",
"execution_count": 360,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.tri.tricontour.TriContourSet at 0x1950cb940>"
]
},
"execution_count": 360,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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agHu5EcgKFzfpEqWLk3Zx9mhUoSoz6laz6aRLTLl8patq0RIxSZfp+rIR+70A\n/agJ3WDVUKlX1fJlgtPnVeeZXroVqD6z2KJ8NYfc4jUcDh8kSfLLAP4IwBEAvzscDr+TJMknAbw8\nHA5pRMTPAvjycDgU06rvA/AvkyT5Hkb9Zp8SV0NGyse1iZ47v4c700vfZD9OvRaOnUX39RvK1Kt3\n+yZOHRvd7/qd6zj3yKR8ETYJs6ESLoAnXaJsiTO7uGmXjK6/C1D36qjSLhV5Uq46yRZhk666IZ6n\nrfSoG6wqrnB0Tb24JcfNCuTLtncjUL+ZXtxS/QZzJIgsaFG+mkGQAarD4fCrAL4qXfcb0tf/o+J+\n/x7A3wlxDpH8+EgXF510XXpsFpcP+7zkcmN3MMBqZx4bb457vsQy4+jf49Src3Rccty//yhOHX1T\nKV+EScK4qBro5dWLOumSh6SKiwREKO3isLE7UO7NaCvVqBIBX+mqcryDbQ5WU4RLh670qBusqhuq\nKqdeq7OjrXhUTeu2afarMx10DwaVyFeTcPn/iXObjd19ZWL247/0afzpFz7qfoKR0oiT6yMA/MdF\nuLzQumwdtHYi22SvSr3EmV6j1GvUaL9/71GcOvamVr4A4O0Hf5uRJVHCuOzd2wIe6IUL4EmXKFym\ntCttrDfM8CJ0S/NtCUF6Tsw3iSKb4jnDRCeO3XCxMmEbNWHq97KlXoRuvETT5avqcmPI/khCm5bt\n7uPZj30Jn3/uF4IdKxKWKF6RoDO6QiCXG1ceHadeS8efRPf1V5Wpl1hyNMkXgFTAgKyEzR1bnJh4\nP3dsvIpW/l5Gth5kR0WMhEsvXSrhmvhdUG+XZmK/bqsgQD9GQi4z6t6QdC/sRZcQReFqs0j5QPJl\nIlfq1R8YZ3tZ+7085UvexD0kVZcbi5AuG1G+6k2QLYMizYUjXaGWles2bRYRZ3qN9iAc32f9YPyG\nLJbfaLbXaMTELl67dxzAKPkCxrO9rt+5nkrRq3evpZcjD707FSixP4sue/e20ov4vb0Hj6WPAYyE\na/etx3D9zvVMyrV//9GMdPVu30x7uegCjFIuupw5dn5CtijtArKbY6uGpxJif5dr2mWiiDlaqllY\nETW6NND09xD/rjrZJilXPVeoXG2a70XyVNYWYi5UMdOrCukSefZjX6rkuBEzUbymGJekK+9WQaq+\nIxHdHoPAeKDqaLxEH/fvPnSYfO3h7r2jaSIkDle1yRddAEwImLitDyBJmEK2ROECRrKlEi6SLiCb\ncJFsAUguiwzDAAAgAElEQVQFklClXTRcdu1EdsisTmzF/i7bCjDbG8UrW/0gsmXaszAKlxnbvo7L\np09NpJK6v6cqCTI9RzhjHVzka/PmIHfaZRqHQRS5QbiOqqRLPt6zH/tSFLCaEcVrSuFKV8ghiqYp\n9jJUQls7MZ8mX+JE+/WDPpaOPzm6rSL9AszyRReVgJkuwKRs0SbXomyJwrV/79GJlAswC5cp7ZJ/\nR+KKRpvgiujKjNwSowsmyco76X0a4Wyqrfp7cVIvIs8m2hz5ou/lka482x0VSdVJl4ooX/UhitcU\n4trTFWpjbMJWcqTSmdi/ROlOCPkiSQIwIWC2C1e2ROECkAqXWE4E1MJF0qVLu2xlRlWCwCkzckuM\nXGyiFcmHSb5UfyeVBKzOqfufOKmXr3yJKVeZm2KXtYVQHaWLiPJVD2Jz/ZThIl1FbBlC87xsw1Rp\ntITYaE8rHcUxE+JqRxqwCuBwzteo6f61e8fxxLG72L/3KJZOnMbVOz0AwIVHRvJ168FmWiY898g5\nAJjY0ofQDT7lrFIkVKsVRUSBBJBZyUjoJtaLyG+MnNldedOuvJtER9zgNNvL9JhDVa0jJhivD2LD\nvXw9B85+kctnR+dZpw2zq5Yu0/Fj0331RPGaInykK3TaBaiHqdI8LwDp3o2U5lwejARktTNrlC8A\n6L4+Gjex+vhZpXyNpGi04pHESSVgwOSWPkQI4dLJlvx9ucSYbhMklRlpfpdtmyARsdQUIu1q2nDS\ntqOaaK9a4UjjJVTyBehHTADmVY7p4x/KF/2bC0lXyO2Cls530DWs5M0LbRZfd6J8VUssNU4Jf//X\nPuN8nyKkS0QuOVKfktxoL5ce5bIjNd2rSo9y2ZGEaP/eo6k0UZmQSodiKVJEVU4EkPZvAZMlRWBc\nTqQyolhKpAshfl+ULrnEKP5eZFZnOsbVjEWkXVG6qsW10V4WbdsqRxXckiMA77Ji3KMx0kaieE0B\nH3x+lHRxS4dFlBh1qOTr0mOz2NjrZwTMJF8AjH1f3df3cOveaB8hGjfROXoBvds3lQKmuwD5hAsw\ny5YoXDrpEtMuG6bVjHLaZZMuU9oVpataOL93W6N9ep2m30vXI1iUGHFkzpeier04qXGdiP1e1RHF\nq+WQdHHTqyJLjCJrT3TSy8bugJV+5ZEvALh171iafukEzHYB+MJFxwfAli06b5t0XTo5l/5u6HfH\nWb4vv7Ga3iyidDULl9leukZ7QJ+ImuQrpCgVUWIsiyaUGUWifFVDkt2zuhk89dRTw5dffrnq06g9\nJF0E5wVtfd/es0FQ30aILUKo50tuuL/8RrbvC0C6nyM13dPWQqud8X1p0v3R4w/S61Yfn0u3GVp9\nfC7d4/Hiyfl0j0cu8hwuQN3DJcsWQYKlQ2ymp76u0b/7qYCq+ruozEh/Y3qzpMRLHiGhS7s40gWM\n3ux9pGvrinoSv8jixTnt7RYv6ofGTivUZK/aToi2EhL7vajXS260pzRI7veieVmqfq+QH9jE5y+X\nTcfmetOODb40pb9LRez34pMkyZ8Ph8Oncj1GFK92IksXwXlRc3kR7R6E25tNbLhXCZivfK3NzKZ7\nPJrkyxVX4bLJFpBNugBY0y6OeInSBQjJhmHZO2dQal7pWjprvm/vxoHydnQ9kUfC2iZ2NvkSxQuo\nn3z5pl0+4gXYZ5m50GTxAqJ8cYniFVHygRde0k6D5r6wiX1ephfSkOKVHpuZfsnyBUwKGEe+AKQC\n5koo6RJXLvpKFwAcuTt6DJ14hUq7fKSLK1wuiBLGlSVZtnRi1zb5UqVeQDHyBbgLWJ4So6t4AeHl\nq+niBUT54hDFKzLBB14YJV2mbThconzbp9iQ5cbMcUuUL/o6D77SpRIuICtdo68nS4wA2GkXkBWv\nPGmXa1+XKDohpUtETsFMcM+hyQK2uXPALjkCYeULmFygo3r9UPWF+fZ1+YgXEE6+2iBdRJQvM1G8\nIhlIugC7eAH8Fzlb31cRqRdQjnwByAiYCo6UiU384nU66ZJLihOPJ/V1Aeq0CwCO3Ds8T0G8VL1d\nQLbM6JN2uUhXGcJVND6JWh1w7fcCwssXYVolHaqB3le8gPzyVedJ9b5E+dITxSuS8vTnX0rTD8As\nXoB76lWFeKXHf21yyr1OvgC7gK3NjL5PAgbo5comZSJy2pVHugB7iRFA0N6uUNJVREmxapqYfpUh\nXwBfwIokj3gB/s32bZQuIsqXmhDiFcdJRILAGWXgi2rkhDxu4tLJOesejwAmhq2KYyfkafJAdu4W\niZV8nWpUhA5f6ZJ/bvq9cJHfVHRvFFG61NDPw1mNWRc4ezmqhqsCk2NGTKMmSHg4+4GGZPPGIL1U\nQZulC4ijJookilcLePrzbpteu2Kb06PbDDfoORxKhkm+gOysL868L52A6eRJLifKmPq6XKRL/nnE\nn1H8HYhpV3qd8EbEndtlmk4/7dJFNFm+lN8LLF80aLUoERJFSyyl08UX3dwy431aLl1ElK9iiKXG\nhvOe3/70RKM1YC81AmHLjUBxjfaZ8wgw72t0Xbb3C0BaggSyZUggW4o0JVpAGOmS0y5dQz0Aa5nR\ntpLRVGKM0jVJU8uOqpIjoB4zAejLjgCv9Ej4liBVAlfERtg+ZcY2NdNziGXHMSFKjXGT7Abz/heL\nTbpkbBvikuh1bxYnYLTB9sZutu/r0mOzuPzGaJshcZPty7f20B300w22AaSbbAPAamd0HW22DYwE\nTJYn2nyb4MzkImzSlf5sBukiRLkGzJsOc9IuzugI7urFENK1tTEW4cUV99lqZbB0dga9GwfYurLX\nKPna6vWV8qXaTBsYb6jd2+5PyJe4sTaQFTBRjrr9bAKmkjBdQlaEZIVg2qQLiJtqhyYmXg2FpMvU\ncA2Y35hDr24UcU2/dGVK3f1tw1YBfuP96PrJBAzIpmA++JQX5dERAKxpF4B0NaNr2mXq6+KuXvSR\nLlGyRJbOjR6rd10alFozEWta8mVqtgf0yRfAS78AdQKWuW2/PpLls5qxSSVG+psRec85iteIuKpx\nSnnvV160znUCiik3AvzBiCRfwEigbD1gqnMVH4MeJ3NOHqVHwC5ggL4Mmd7vQN8XRZhSLp10AeYS\nI5D923LKjD7SBYQtMcqiRYLFoa4S1ib5opWOwORqR8AsX4C5/FgFtt4tn/IiUH/pEoWL/lahzj3K\nVxSvqk+jEt77lRcB2AdqAryREoDbLB2X1IsQ5ckmgpzH0ckXkBUwki8gn4ABk0lY+riW8qEKEi7A\nLl2AOc2U0y5glB7YhqXm7ety7eki6XKRLR11k7C6yBe39MlJvgiTgAH2BAwoV8Rk2Qo5lR6or3TZ\n/iZAlK9QRPGaMki6gHDi5TPAMOSGuD7YBEyXfgE8AQPMEpYHVco1ul4vXUD5aVddpUtGljBXQkpb\nFQKmWmEZQr4A/awvgvNmX6SE6RKtIja/BtyExbRKWIfu92yC8zcQifKVn9hcP2Ws396deMOugrVT\nHazvD6zN9kWxOtNB92CAzZvZwa2mxnsAyuZ7AGkDPjAWMHUjfr6flStd8nnL4yMIzggJU0O9iiZJ\nV4jH7R2eXwgBE5vugWIFTLcrAHfrpOUzM9jcOdA23AOHTfc399Pni6r5HkDagA9MvvnLEtQVnpsc\nCQtdLnQlj6jYNpkXEVNGDrayr46lhVn0tvvY2N3PJV+x2T4fUbwaws/8wRex2ulgfVAf+QKA9Z1q\n0i9RvoBx+kWp0PruZPqVCthetv/LVcB8Uf3dVNIlrmJM76tZySgmlmKDsviGpHqBNZUYddRNukKQ\nNvIHEjD63RS16pGzDRP3uFz5ApAKmCqV4QgYQc9LcUWkjaLlSoevdNn2Og2Fq3TJ99vIuTozypc/\nUbwawPf9m//Vq5fIhG+ZUabK9CsdX2FJv4BJAaP0C5gUMAC4PMiWIYuUXZV0uaZd8vZAgD7t8unr\naqN0iSydm0Hv+kF63iEELFT65bLnJR2XC0e+AHv6BWQFZUN67tmSsLpR956uECwtzE78nVSofgfy\nismIG7HHq+a872tfADBaQbfy6PzE5sm2AZumjbJDbVBLlNX7pZI82/gK1/6v9PuGPrC8iH8/QC9d\npt4u1WbYut4uXUM9t5m+rdIlI/aNhShB5t1o23Vch0+vGafnK3N7SwO+iGsfUtXkkS7ftMs0ykPF\nxu5+Kb9L8cMbzXUj6Pi/95s/V/h51InY49Vynv765wAcqfo02ORNv0zbEuluS8exDW/VJWBy/xeQ\nFTBTGdIHcR9JV+kiZGlWpV06onTZEeeIbW3sBi8/Ehwx8pmR5jPglf7+m4fPB5uAic+jTaFnkFuK\nBOonYbJkRLLjKHR9ZR/++EtTJ195ieJVc3p3X52Ykp63yd5FcFzx7f3yHW0hS56u9wsQ+r9yCBiQ\nLUOKiEImCpaM3EQvS5d8vuLPZsOWdom4jI3gEEq6tro7WFw9k+sxQiCWH0M13xOyhKnIU570na7P\nLT1m7iP1gQGMUqQkYUB1ItY04Sor7RKxHS/KlxtRvGrKKO2aZLXTyd3kDbgJDgDrth+qxycxAvQC\n5iNcqmPI8gWgEAEDJsUJyCZiutuYEKVL7OsC+OMjbKhKIKFWMIaQrq3ujvLfVUpYaPlKH5fxO+3l\n3Iw7Tdoc+8x85AvgCxgwKTgqETMRSjymoZerLKJ88YniVUOe+cYL2L63h4VjZzPXb7y5O9Fkf/nW\nnvZNfvl0B13G9HoV8v5p9AYv7r1mE7A0/dIIWB7pmjiG4vFDCBgwXgUJqPvAAHfRIlQrGMVzs037\nF5EHphKmtEtHVdK1uDD5GFVLWOiVj+zjBtpwvIzSY+a+jJWQMq7io2oKd5GxugmXbr/MSDuJ4lUz\nnvnGC8rr12ZmJ7aoWe3MGktaKmxlRlG4VPunyQLGTb+Iden4oRr8Tf1leQQMUKdggF7COOjKi/Kg\nVPH8XdIu+Q2Fm3aVvXrRJFyE+D1RwiZuV7CUFZV+lYHvKssgAmZJv3zIm5ipHiMUmzf3SxknUUdi\n6sUjileNePabz2Pn3i7OHDufuV7V55UHneyIb+Y2Vmc7TvJlOzYHW7nTVt4MJWDApIQBPBET76OS\nLhlRugg5jQT0aZcKXdpVR+mS0d12a/ugFClrunwBfjPGZAED+BLGGUWRl7okV+9cnPWaWs+liv4u\nV6J82YniVSOu3JrcD3D18Tl0X8/2eqgGqa7MzeKyMFLCFdWbuY00/WKWHn2RUzhTuVOVrtkETLUC\nEtALGDApTRwR06VcgH0Vo/yzcdMu3ZuAnHY1QbpMmB5HJ2W+MlZV6TEUeWaMpQJ22AMG8ATMpf8r\n0lxoi6if/62X8OKvR/nSEcWrJvynX/91AJhIu0JiKzNy0y7V/XzSLxu6sie334ydgBlGUABZAQMm\nJQxQy9RlScRMwiUeTy4x0s8CuKVdqrldqi2BfPq5gHzSFUq4OCj7xgQZyyNgIYeulkneCfshBQyI\nEsahrkNLq9wUvanEAao14NlvPo8rt7IlRkq5Fo6dRff1PSwdfzLt8RIHqYpbztAQVTE90a2IE5GH\ncPrS7butfDThck6c49qGu9IAVkA/hBUYD2IlVBLGRU65AHVfFwDtsFRAPUKiSOmqS8oVgq3tw8Gh\nOUuRNHS1SfIlkneDbxrACrj1gQFuw1irhJvUFTVEtU5lRq5stTH1igNUW4KqxAhgYlUjt8F+Zb6j\n7BcykVe6xMcQkyjAXcJcRZCTgNnmi9n6v9LHkWZrre+6i5hKuACzdKXnKf1OTL1dUbrsLC7MpOlX\nHvmSy49AsyQs7xZHvgkY0IwypGvfliiTmWGzjpth1w1RuDjJViw5qoniVTFllBhN+PR22ZDloKs4\nhkrG8iZvnBWXPg34gD4FE+VJLkkCagmWhQuwS5f8dxK3BhofS/0pW9VMH6VrjChfQL70S556nx6j\nARIWYoNvWcDyzgEDqpcwMT3mjMgQv/fKVj9IoleHtKu7N3AuI3b7Azzz3Ev41x+L8iUSxatCnv3m\n8wD8pCtkg32ItMvl8eVELPS5cBvwTdsbybPPutI8LVYaJoiYSrYIrnTpGupVvV30JqaaTs+VrlD9\nXEB9pYug8wuRfgHZ31fTJMx38KqI7xBWYDIhktOmskRMPC6dE8kXl6qlMRS+0hVRE8WrIki6iibP\nEFUR02R01/8hVSKmup57Xqrj+6RfgL4HTPz9+aRhKsTHMJUXxZ9H7usiTMvpXaQrhGwB0tDTmkuX\nSMj0i2iqhAUrP3rIV/oYUq9U0eVIWfKmdR4XMNnH5XTffvZDb0y9skTxmiIunulgXdNgr0MULvnN\nnuge3sZ3NYuvcMn/NgoYZ/xEgRKmmkAvy7BKulSz1cS/gyntkjFJVyjhApqTcukInX6JNE3CVBt8\n+yRgPsmXCp+p+CZUvVt1k62yVzO69nHpkF9ro3yNieJVAba0S57bxcG0dZCJ5bMddBVv7rpkRcXq\nXAfdvUFGhopYUmySQPH4OgHjjJ8gfCQMmCxJmm4rwpEuXYnR1NslN9SbpCuvcAHNly6RUI33OnQS\n1gQB89l4OyTcoay2pnhXyaqqOb70TbE9X79N5UVaWR6J4lU6KunauXctV3O9buug9dcG1nKXChfp\nSs9BuK0sYYDf/8jyY5jOh75Hx/YtPxJyKihvdcQVMQ466RJRjY4AJoel2tIuHdOecukoWr4IXVN+\neh41kTGx/8tZvgKlXuljir1gBsEKnWCV2bdVZdrldD/LSB+Srg8+/xK+8k9j6hXFq2QG96+ic/RC\n+vXFk/MT4yRU0+pd4Y6U0G0T5CJdtvu6ihinvGk6Nif9ArKrLbkbfgP6Tb99MEmXS1+X/MletZLR\nVmL0pa3SRZQlX4BagOu6RZFX8hVYvtLHrll5MCR1T7vkfi4ZeYZilK8oXqXyK3/xXNWnYMXURO8L\nR8Rs9/E5nin9ArK9Zd4SxihHqtA10etGapj6ugj5zYfKjEWmXUVL19Zl/f6LIouXihWiMuVLpo77\nQ1LjvSskX4D7oNVpo4q0y7fEaHvNlF8bp12+oniVBEnX0onT6N3Opl6hufyG/56NQD7pqcPjy8fp\nMnrPdBIGmF9U5NEUgF3AXKRLntelKzGKcNOuPJSxapGk64Ll8a9uH6S3LVLAonxN4rvdkO+oiToQ\noqmfS1lpV54VjBF33lH1CUwLrz3oZb4e3L+a/vviyXns3LuW+f7q43PYvncj/bp391XWceSNmSMj\nAUt7o64x0rbZTnoBRkJkGzS7dqqTXq7sDCYuhKt0qVBJl0/atbWx65V2iSlX0eVFm3TRbeh23ITM\nl3TFo2LT7aKhv1WI8nAI8sh8+vxUfEioM0WXNDd299NL2ZS9x+Lf/Z8+U+rx6kRMvErgE9/+JICR\nfD3x0NJh6nVzot9Lh9jzNdo2aBcrj/I/9Yaa5VUHVGU27qdCuQQJ2F9sVEmYSymSWNcIF2CWLtcS\nI3clow9l9nL5CNSFhZk0/ZqG5AuoR9N9nin3TU2+QqReOrkqu6crxLyuiBtRvAqGpOvCI2dw9c7O\nhHyJ+KxuXL+dnV7fRmThkMcnbEjft71w+QgYwBtJoUM3O820TVLeEqMt7XKhigZ6Ttqlu0/RpUc5\n+SpTwDJjKCqeAyYOWc0rX0Az+r5cp9fLiMJVh22AgLDzulz4wAsv4ff/yfT1esVSY4lceGTyxZlK\njhdPjl405ZKjidWO+xP+4pmOdp5KEY31rvS2+xOXlflTmYuM/D3xviaoBLk610lLkNwyJMArQZrQ\nSRenxEjoSoyEKe3ilhnLlq4Q5cJpKD0Co7+hWIKsogxJzzHbIg4dy2dmGlV69JUusYS4tDBbuXQR\nZZcYZT7wwkuVHr8KYuJVIP/8u/8Mtx5cBwCcfGgZACVf6pKjarSEC6ohqi6zvJbOdwqRL5sAiZi2\nvnG9/8bufnpsbgoGuDXj+yZgNumylRhNM7tscN+cqxwT4ZN2qR7j6nbYwZ0qqiw9EroUTEURyVje\n5AvIbjEE1Dv9cikz1inhEsmzijGSjyheBfHPv/vPAADnHjmH63euT3yfW3LcvncDC8fOWo+nGqLK\nneUVGpUo5BUqH+iYLgIGuJUifQTMVF4Ujy9iKjEC7kmBLe2qSrpCJ1QXFmYK7/kC6iFfhOlvqxvQ\nCuQXshDyBdS7/OiSdtVVuID6rWKctpJjFK8SGMnXppR6jd9gxBETYuoVYpBqWdj6sKokk4IVLGCA\nfiaYSbh0Q1K5M7uAyc2wfZvqqx6IGiLtkpk2+dKhkzKVkPmIWEj5ApARMGAsYb4lyRAS55J21U24\ngDB9XQCvsV7X1tI9GEzsaztN8hXFqwAo7RJRy9co9SJMqxxHEvYqlo4/GfRcdXs1+lAn2dKRpmA5\nBIy7ElJMweTvidikK3TaZaJK6SqqH6us1Y5AM+RLhSxkeVZOhpIvYLJncVN4rsvfs1HmCsoqxkHY\nCLX5tUiexvppJjbXB+YLmx/F/be/q/3+rQebma9pvtfSidPsY6zNzGLjTXMfx+U3Jt+Muwf1ipdD\n8MpW37oRrgpqxuc04RMus8CA7DwwsSlfxEW6CFvaZYLT39XGrX/KarYHsg334qVJUNP+0rkZr4b9\nvA33OqgR31W6xPtu9fqFNvGLDfQ6unuD9FIGYspVZl+XbjU3AGzezP7s668N8PTnp6PRPopXQajk\n69wj5wCM5Uu1yhFQD1R1QTVEVY5124A4PJQEzFXExJWQHMRhrHmxbUYuS5cu7ZLfhIreELsoik6j\nypYv8QJUt/IxBHWSr7yUsYKSs5gn5GuJDlHu6tRIr5spubE7HfIVxSsgX9j8KADgyeP6WVyyfHEQ\nJ9iHQld7Xzrfcf4U5rJqMQSiXFH6s3z6VObiImA+6ReQb/yGSbp0qxgB/uTs0FsEtYUy5UtETsGa\nRB5Rr7N8FZF+1anEWFXK5Qutvq9iQVjZBBGvJEl+KkmS7yZJ0k2S5FcV3/9wkiS7SZL85eHlvxK+\n94tJkqwfXn4xxPnUBV3JkeQLGKVe8nZCIquP5+uR0GGKgH0I2d8lp1fyRRQsHb4CBvDmgIllR1c4\n0sUpMTZh5lEdqVK+mlzG9Z0RVlf5Atz7xExwSoxlUceUS2Z1pjNRbiT5+qFPtXs7odzilSTJEQC/\nA+CnAXw/gJ9NkuT7FTf9P4bD4Q8fXj53eN8OgE8A+DEAPwrgE0mS1L9DW8Gn/vofZ742pV4mxD0c\nOax2Oli/7faCaBqiWiVykqW7uOAqYKphrDryyJerdOlweeOw7c3YtCQmD1XJF1H277p3/QC96/4z\nzcR+rzaVHQGkyVfbqLN0mVh7osOePdlUQiRePwqgOxwON4fD4VsAvgzg/cz7/iMAfzwcDgfD4XAf\nwB8D+KkA51QbTI32MnKDvarPi7tZtsj6a8VJVqgyoyxcoaHH9E3AdLjKl+12KunKMyzVlSYnMq4U\nMbaCQ5W/4xACBvj3fC2dncHWlb1aClhe+WrCqu5QuOzRuHaqgys76turUi+izRPtQ4jXeQBiTLN9\neJ3MP06S5K+SJPn9JEloZgL3vrVGNT4C8E+9gPEWQiI+ZceV+eI/OYR6wSlaLkSpq0K+XPu6TLTx\nE3pVVJV6lQkJU4ip9XnkC6hn+hWy5Fh2z2tVhBolYZKvthJCvBLFdUPp6/8HwNJwOPxBAP8WwBcd\n7ju6YZJ8JEmSl5MkeXl3t/z9yHTopEvEJfWqC2VONvYZB5EH1/SLI5aqPR/li20Vk6vAhnyzqBNl\nbPNDVF1yLIve9YOgWwW1Ub4A8wcaztT6OqRedZtKT+hSL0IlX21NvUKI1zYAcernAoDMHjnD4bA/\nHA7vHX75rwD8Pe59hcf47HA4fGo4HD41Px9+r7GiyJN6ubLamcXlW+YXMt0sLzE6rqI3oKxSmng8\n1/SL80lWXCYuX3weN3SZMU+ZqQyKHimhooqS4+LCTGl9XqGliwghX3UqPXLGTHCn1ledetWtv4sW\nc5lKjjraKF8hxOtbANaSJLmYJMnDAD4E4A/FGyRJIm42+D4Af3P47z8C8JNJkpw6bKr/ycPrGoGY\ndh098i68etd/9haxdOK0ssE+xEgJ3SwvXWTM+eS0tDCbawl1mf1LKrjyVdQnWVNDfegkkPPmu1Vi\n2lQ32ph6yaJtW2DhSl75AvzSL7otSZvu4oo4ZsIXl9XRTUbelcMGR76mpeSYW7yGw+EDAL+MkTD9\nDYCvDIfD7yRJ8skkSd53eLOPJknynSRJ/gOAjwL48OF9BwB+EyN5+xaATx5e1yqePH7eWG70HSlh\nm17viir1qmtsHRIX+Qr5IspZxVimlNZli5vFS2dKLTcC5ZccyxBckq4i0i6RECKnky+dUFFSRqmZ\n7hI6TXOdDSjPCJQvRZFnxiAH2oUjtHwB01FyDLJX43A4/CqAr0rX/Ybw718D8Gua+/4ugN8NcR5l\nwuntsnHrwXjvRlfWZmaxfhDuf9zls52J/4mWzo96lrp7A+uE5Y3d/Vr0N/iyfPoUNm/u45WtvtMm\nuL7YpKvsvrdIuXs6AsWKblnSFRJxj0f5et3tOY8JAD3hMX33j8zzGqH6/3xjd98qXz4zwVbn3Idg\n+7A623Fa3UisndKPM1qd6bRyazuZOLneA1m67r/9XecGenGIqgnfrYNW5maV+zUS3FlenOSrDgMD\nQ8BNl/J+UuXO6yoq7ap7n1eVlNHvVXTaVYV0+e7pOPE4itQqBOJjcVMwVbnRZyyNDjkVky+A/2sN\nLfQpmtXZyQ/sXKY59YrilRMSriePnw/eSK8aKVE0qk8w3EbNOm2XkQfTC2reVM9nSKpMnv6T2Odl\n58LCTGElR/rdFpV2NTHpKhNZwHSYGu3lhTlFpdNNqiD4lhxVUKN9m/u9ong5IqZdonSVxerjc15D\nVDnkmcsybamXD1zp4ryQFzVKoi59XnWgKPkq+nesk64QiZSNMo4RgrzyBWR31xC3NAtJ6L7SIsjT\n7wgHABMAACAASURBVGVb5SjLV1tSryhentx/+7uFpFxlois36lIvTt9AW1IvEz4baov35VDlSk8g\npl5tm+9FQhRyRaNMkY9dBCHkK71dgSlYk+Qr6GO2OPmK4uUApV2+A1G5Kxt1IyUAoPv6HpaOP+l1\nfA621Gsaer0A/ngJ7gtib7vPki7bcbd6/dxp1+LKvLHPixKZquWr7JWNMqH7vcrq7Zo4bgnSpTpe\nE3CVL66AFZGC+chXGX1eRJ5+L+1jKuSrDalXFC9PXJOuOiVjnFUjpl6vto+Y4KZNXPnivmCK+1VW\nTdUlxyoGqZZBVWXGsqSraakXwJcvFwEDwqZg8lgKDraV6EVRlHyJNF2+ongxyZt21QV5iKqq3GhK\nveo2EblIXLYT0r0YujbTm6Sriv0Zpz31CkVZv8c6pE2hVjiWCXeIq0rAfFIwX/KudiyaIkqORJtK\njlG8PCgivbp6p169JMtnzTNaTKlXnfq8uJ9OZVxSJ92LoYt0cSf4l7k/Y0y9wlL073Pp3EwqPeKl\nCtosX8BYwHxTsDwC5tzmUGK5sSjalnpF8WJQVtr1xENLAIDe7ZuFHscF1/ESde3zKjot0slViL6u\naactqVdZiOU+krGqzqNK+fPBZ/siWcBY98kpYFz5onJjG+SrTUTxciRU2nX9zngvcDHtIunqHL2A\nK7d2ceZYdb1heRrt68Li0lgEqyjVcbGlXdxzr8NmwyFpW+pVFlUKl3weAEoRMDnp8039fLcbEvd5\nLEPAuO0LbZKvzZuDVjTaB9kyqM2IaVce6VJtoC1uF0RpFzCSLpHu63tYOHY2c936QR8rj2YbabuD\nPi6dHG2HsbHH/5/44pkO1ncGxqF2MrSdkPJ7C7PYYK7iK4PFpdlaSxcXbpkx1LTvOnF1+6CUqfJF\nsLV9UHnZtkpIvnrXDzISZBvy6ixMGtEUj+syWFbewoi71dDymRls7hykrznihz/tfXJsR9Tb7lsr\nDWVtI1QkVG7sHgwa3+8VxYtB3hIjSdfRI+8CMEq7SLqu3tnJlBhl6bLRHeifgJceq7bsV6f9Gzkv\nfnnY2N2vbZm16SxeOtOaeVrTjChGsoTZbh/iuD4Clu716Chg9CGJBIwrXwCweZh8cQRsZf6UU09t\n79qg8Quk5H6vDz7/Er7yT3+uorPxI4qXgbwbYcvCBdhLjIRLmXHtRHXbg+g20F5amK3typs6wWmq\nD53WcZOEre50y87V7YNY6iyIKsqglQpYwemXS+rVBvlqOrHHiwGJk6pcqMMkXbYS45Vb6jfG7uv6\nfoPuQP3mvLGbL5I1rW5s8/+8mzf32S96RaZdJF2cMuPWlT1rmdF1mOZijcp7ZTbZhzpW1eM4IpOI\n/W++/V/AeLNtTi+Yz+pHwG2kDYey+r1cZnmZNsvm8sHnm9XrFcVLQ560S1ValKVLV2Ik6aK0S5at\npeNPYv1A/T+j2N8llhnXnhgL0ubNgXJpLgDl9kF5qdNoiSIo4+fjSpf1Ng7StdXdqZV0lZk8kXSF\nOuY093fVGXn8htN9DwWMu+k24L760aXx3mVboaLly2WWl0tfcZuI4sWAuxn2q3ev4dW713D0yLsy\n0gWMhOvkQ8u4emdnQrpkZOlaOHZ2QsBWHp039nepsDUk+vxPYNrDcVp6nopOu6y3O3zBN6VdrtI1\nrYSWrkj9CbHyUk7BTBSZftV9qn1kRBQvJhzpAsylRerpkqVLTLtM0qVKu9ZOzGfKjOJqRrHMSNKl\nSrvyRL1tWKLsS5FpF6fESC/y4qdu5e08pKtOaVdZROmaXij9kgfQOj1GwekXYJYv18Gqq3P6lell\nsnaqM3XlxiheCsQyo8uKxrzSReikixDTLpIuKjMC0JYZdSVGIF/kO82fnvKkXbZPsDbpAuyjI6J0\n8ShCumJ/VzORe8CKnAPmugG3jTrJV+g9G9tEFC8GnLTL1kQP2KXrzLHzRumi2V0kXbSaUTW7S5V2\nqbjiOL+rCDZvtrsPzITqxZRbYuTO64rSZabIpCv2dzWXEAIGhE2/qOfLRB3kq8g9G000JfWK4iXh\nmnbJKx1V0iX2dBG+0kXoSowuaRcn3s37qWVpYdZYknMdFlgGHBHkrGS0/ewmbGkXR7q2Nnadlu1H\n6YpEJlEJGFfCfNMv4+0YDfd1kC+g/NWNTSGKlwVT2qVavQiYpUu3gpErXXJD/aWTcxPSxU27AH2J\ncfPGIP2fpqpPL1VSRyEE+FsCuUhXE5rpixygGqUrwkHsAwPcUjCX9AvgyRdQ756vqlY3NiH1igNU\nBeQREkePvAuv3lVvFeQrXQRHuqiRXpYuSrt0fV0AL+0ySRcwncLFoaop9a59XazHbECJkaSrqVsG\n5aF33d4nVoc9GaeNzBR+5jDWdAirZQCruOWQaeAqZ9AqTbbnDFgFDoesHspXFXMar+wMcPFM+993\nYuLlgWoFI8CTLtr8GsgnXYS8J+PG7iAjXSpMke60S1cR/WYhVz9OW1/XtEvX4sq89cKRs0hxuCZg\nnPTLNfky4ZN8AeWvWF871UlXONLFl7qnXjHxOkQ3MJVSL9X1hLj3IpDdCggoRrpsJUZAPSyVnsyq\ntKsI6WritkEhy4ymrZPeuTiLTcaWQUVSZ+kiplG6XOldP5jK5MulTF7kQgd5OyJO+kXbDwVJvizb\nC3klXwG2F1qd7aB7Y4Dls+5lx/X9sXxxU7Cm9IlF8WIgJ1si4t6LgHlsRBnSRWmXqbfLVE8vIumq\ny0bZ04BrQ32dKWNj7AsLM9i6vBO8z6vMURKLK/PY2thtrHzl6TF0+eCgOk5oGUsFjFF+nBb58oUj\nYCrRovs989xL+Ncfq+fm2VG84L89kMusLm4jPRBOusS0y5R0AX6rF3vX1BtkN5VQqxmbQN22BBIR\nhavJaVeZoySaIl9K+SnpbywfZ2v7IHM+If9eS+dmWJtxR/myoxIw+XtNI4oXxgJ17pFzzvfhDkgF\n3Fcv0pwunXSJpcW1JzpG4QLM5UXALe2qw8TjIqjrasZpYZp7uvJSN/nSJVl1Ef4JEQssYdzyI6fp\nnitfAIzN9kAz5QtormSpiOKFkTzderA5UTZUce6Rc1bpIlRbAQEj6SJM0iUL18bdSenSpVw24QL8\nerpE4Zq2tIvgvmCVDbfMWNfxEVG68kNv7j2HHQtCIj+36iJZHMRzDSlh3PKjLf3iyBdnpSPQXPly\npa7lxqkXr098+5MAJqfMqxDlTDeVHlDP6gJGWwGRdHVf3zPO6TKlXBt3edJVtXD1tvuN6u/ipF30\nguXKxu5+rX4XdXtDjNKlhtOoraLo9Msk73V7bvlQhISJ5ccmy5cPm44N9m1n6sXLBZWcmQakEmKJ\nEbBL19qJeXTv9bWlRVUD/epMx6mPy0e6XBKuJq1mLHrLItPKxmmnrcK1uDAz6qML8EbtfQ6H8hWS\nJowgCQ39rGJPmO/fNaR8mShKvgA4p170XtM9fP8pU8Dqul/k1M/xunpnJ7343Fc3IBXIpl1Atq8L\nQLqCUUQsMXKka3WmY5UueQo9V7p61wZpA72PdNUp4dFB0lVlb1cI8WtimbFO0lXUCsqqf99FzPma\nJukSWVyYGUtYd8f7byvO/dLehjHrK8R0e8DtdTpPewm97xQpQ/ReJ77n/fxv1W+m11QnXr/yF8+l\n4vTag14qXxcesX+aMc3qAtST6QnTCkbi0sk5bNztT0iXy4pFn4Qrbw9XnaVLJThVN9O/c3F24oVx\ncWkWm72+cb/GPNThjbNO0nVhYSbdszEkiwszaUpS9WbZIUuOW9sHtXgOVUWIBIzT92VKvkJOtwcO\nk68CUy9idbaDbn8sRSHSL1nkmjD8e6rFS0QlYNz7mKSLUKVdprERlHaZpCuUcMkrFH0/1fhIl+3T\nWChCJVshp9BPK3WSrqIh+ar0HAL2ey2unqk8xasLsoD5yLWt9FimfAG8hUN5er0AofQoCBigljBO\nOsZ5j/v533oJL/56fZrsp1a8/stv/PcAgKUTpzPXyysTbdikS2yoB7JplwiNjgCktOvuIJUuW8rl\nIlyhZEvGJ+kqenJ76HKiz4rGpYVZbFS82CDkG6apNKcaRtqW2Vw+hOj3yn0OBfR7RUaIySbgl37l\nlS8bJF8mXBcOhZhqT8gSprpNm5ha8eocvYDB/aupOMkCxoEjXYStoX7072zapcMkXS7CFXIcRMgV\njLYXCBdRq0MPV53IWyKypVVXtw+0UlZ34Spign3m8VtUcpz2cqNM3vIjV75ULJ+ZwSZjvhdgn/EF\nlJN6TTxeSwVLx9SKF5Adbtq7fTX9N0fCOOVFIDuzS4c27dodZEqMmfs4SpfPykQueVfsyaJlemF4\nZaufuT1HwkJJV9llxs2dg8L6vFzhJlbi965uH9Retoii+ryIPCVH35ESE+cQqOQYy4168pQfWfJl\nmHDPLTma8B2XU1fEoOHDH38Jv/eb9Sg3TqV4PfvN5yeuI4ESUzAbtqRLN7OLUKVdOlSDUYFqpUsU\nLt+0y1WKxNvbJKyIMRF5B6dy53ktLs0qVy31bhykK54mvmd4Q83zRunbk9UU6RKpW+qVd6SETCw5\nloPvwgrOuIk8/V5A4NSrhgNVmzDkeyrHSVy5tTsx6oHoHL3AvtBjAXrpUkFlRkCRdlnKjMBkM71O\nunzHQZjobffTCzASrqr6lt65OJtegJFoiRe6TV0wvZBxJFH3SRcwb8ab3sZDhKapEb7onzFPaS60\nLIUeMRGZRBw94YJp3ITuQxcAVjrOqRDQ6zm3klGX7ePo/Q6A9j3vwx+vx2iJqUu8nvnGC6kkXbl1\nDQBw8aRfjM+RLp+0SxwhIZYZdWmXTGjjl/8HrOOoiKIFq8j4XTVSog5Mk3SJFJ16uRI69YqUhyxf\n3PSLk3zpCLmfo43QvV4+NCHhkpk68RI5c+w8du5dw5Vbu87yxZUuGZe0S7Wa0ZZ2hS4r1nkuV9nU\ncX/GIphW4QJK6vXybLIP1esFlL+H47TjU3o0CXeIqfYcuBPti9jDkZukNUW2RKay1CgyTr/0UT6V\nJsWLeF+TdOVJuzLnsDOYaKgvWrqIKF1h0X2SlF8MF5dmJ15EFy/OaVc3hWQapatMQpafIs3At/Qo\n/81N5UZgJF+cqfahJtrT+02ekiOVCcULlQttF1d+/Jc+7X2eoZiqxOuZb7ygvF5VepRFTF6tSLhI\nl0/apUJVYqQnaqTe6PZtLLLcuNXdiUv/a0QV5afQ0MrG+Lxyw3XmV54yc9mN9gDQleRLl4IVNUdS\nR4iFYCGZqsRLVfoTkdOvM8fOpxfT45mkizDN7SJUaZe4D2Pm+imbe1IlbVpebWPr8s5Up11Xtw9K\n6+/ySUDE5CumX81E3vPRF9M+jlU12tuSKFUDfJHSVZeFYDJTJV7ASIxMAmaTLfFxALt06bYGInRp\nl4xq8+tIeYTs71pamGWXGwFUVm6MFI+vfMXSY/Nx+du7lhvT+wUsObrOa1yd62SSLduKw1CIK+9J\ntmThevZjXyrs+BymRrye/vrnsHDsbGa2li8u0iVD0qVKu0R0ZcayED8pRMpBFflzplGHwrQNUKQ4\nfMt1Ub6aD0e+fBdCUOplky/Avmeur3wRofqPRanSXeh865JuqZiqHi9i4dhZbN+7ge7re1h9XD8b\nSUQUNXlGl0m6xLRLlq5LJ83HFlczlkXdauEilBKVeV5Flhm5w1TLZJrLjFXiu9rRte8rSlr98B22\nCuhXNxIuqxy5Iya4Kx2B8ZBV+rcLOsmr22umD1MpXoA4Vf4GACgFzCRb8m1s0iVD0iWWGWmLIBFV\nf1dIVE/uuj2xZfmRvy76fIsYI6FrsteRd/uguLdeMyhKvki4Qo6RiA324fDZUsq0f6NMiO2EAH/5\ncqGsEUbPfuxL+Pxzv1DoMXRMhXg9/fXPab8np19yCdI0gV7XSA9kVzAC+hIjMFlmlCmqv6vOM7pE\nuTL9D97b7hcmYiHSru6eebWpnHq9c3EWm1v9TOOrbvsgLnFvvWaQZz9Hk3wVIV1NxlRSr9PgXJGl\nczPoKf62tv0bAf52QsunT2GTscrRR75slF1pqXpg9VSIlw1RvuhrGzrpEpvpgWyJkVClXSJl9nfV\nRbpUksP5n1q+jUrECJ+fNc8Li22is2vqFYmYILES36CjdI3hbPSukrIyV7l6D9cNUHIkOCMmQshX\nUTuicKWKs6qzKKZCvEiSTP1cHNmSH08lXZnbSSXG7qA/0ddFaZdqjMQ0wE22uJgeY6NEyRGly5Z6\n1YFpHyMhUuWWQXnefAlKR8Svpx3ubgzy969uH2RkrI6JGJUcWfLFLDkWLV++1RaOVLkI1Uc++kV8\n9tO/6HQOIWi9eL3va19IBan7+qsAzAKmQy5B2pIuQldiVKVdqjESRVNVg3do4eLQ1C1/XMqMvesH\n8Y02B7RlUN32a3SljOdAE8rXebe/Eu9XBwnT9fFx+73qIF9c6dJJVpVJVSimZpwEAEHA3EZJiAkX\nXYj1g75SukwlxvRrRdrlW2ZcOu++WWkVIrKxu59K19LCbGNlyEbebS1kOI31VU8zbwv0Zrt1eaey\nERtNkBrAfxRGGYTec/TCwkx6occv4vmh+9tzZNo0VDVzO8Z8L4CXMLmMmnCVruXTpyYubWCqxAtw\nky9x2KqqgV61FRCgLjGK2NKussuMogwVfRyg3cIVaQdlvMHqqLPMNAH6e4l/w9AU9fzg/O11I0G4\nQ1W5872Kki8X6SqDj3z0i6UcR6T1pcb1gz7WZrJv8nLp0YRKuER00mVrqBfTLpKuvE31S+dHM1Nc\nEhYSIFNTuivy/1iicEUiTYLeXMUyU5NLkNNCWf2K4nHKKEPm2btRxGmlo0fZMT1f4TWfJsmbKFu6\nqqLV4vUzf/BFrDw6j/WD0ScEnYD5oCsvAlnpMjXUq6iqqT6kFKma2KN0RZqMSsCA4t5gQzTZTyNV\n7r4gP0d8nxt5//a2JnuiKPkiZAnj0nbpAlouXsTKo/PYeHM3LQ3KAuaCrbwoS5eIXGJUDUwV8Rme\n6pN6haYsyTL1tBX988vHrvuqRQ5Xtw/iykYLqmbrmIDVi6qfw2IJEggv57qZXgB/hSPhIl8AWHO+\niCJWLLaFqRAvYCxKvgImjorglhcBfUM9F93w1G5/gNXZ5r/Zc9FJ1tL5yd9B79rAeaEBwJMn8XHp\n2HS8OsuXbcr44qUzca9GR9qyArIt1O35m/f54Zt6FSVfAH/Iqi9VpV1lj5VorXi99ysvonv7cI+o\nzvgN0VXATMIF6KVLlXaJ0mVLu0wsn+1g84ZeLOqQeoWEZEclWSq4t5s4zjV9iqUSLvFrUfa4v3dO\nz0Ok3kyzfNVxy6Cq0y4Z3+cHZxcD0xZRvvLFgeQLQDABe0XarSME8uIBm1SWSWvFCxjJ0PrtXXQH\ng4x8AWoB06ESLsAuXboJ9fKwVGDUWO/a32VLveqewtgwyU4RiMeQUzPb8eX0C2he+ZFSr7q9edWd\naZYvIO4DakMsPYZ6fnCa7F3lC7Dv6Ui49H3Z4JYYXbdNE0fwcBO9sggyTiJJkp9KkuS7SZJ0kyT5\nVcX3/7skSf46SZK/SpLk60mSvFP43ttJkvzl4eUPQ5yPyNqJeaydmEd3MFBuVr3y6Lz1ooIrXYRc\nYsw7LHX5LE8EfEpuVdPdG2RSrjKkS4aO63p88fY+v/siPvmJ+O4FGDEj9/VMC1QKq/p51cbfOzXZ\n54FGTHDme3HHTKS3dxg3ocN1FePymRn2Rb4fYP7ZyhwrkVu8kiQ5AuB3APw0gO8H8LNJkny/dLO/\nAPDUcDj8QQC/D+A54Xt3hsPhDx9e3pf3fHSMJ8jnExFR4DjSxUm7iqIKYclDHYQrFHU8d26/yNUo\nZ15Ma1JYF/mq++//wsJMcEHUzfQSKUu+fAXM5YPm5s4BuyQ6cRzGEOqyCFFq/FEA3eFwuAkASZJ8\nGcD7Afw13WA4HP474fZ/BuDnAxxXy3u/8qLyehKl9cHoySqXH02IwqZqojdJlzyhXk67VGXGKzsD\nbWO9C03o9/ItKXb7Zolt6+KDrSt77GGJrsQm+4gP1O9F8sUaBKoRtVi2zKJrsneZ6eVSdnRptgeE\nFY+HpUfA3PvlK2jiuWxKYsiVKs6WSWUQQrzOA7gqfL0N4McMt38WwNeEr48nSfIygAcAPjUcDv/v\nvCdEErTaUf9yxd4vFaKQ2YRLPJ5JutLHUEhXGdSx3yuEcOlKrps3BpWKWa/msmsjjpaIuJImXxYB\nE4VLFgq6b1vli1Ivbq8Xp8meS5HyBWSTq02LXOVtpxDPaavXn0jB5P4u3X2rIoR4JYrrhsobJsnP\nA3gKwD8Url4cDofXkyRZBvAnSZL8x+FwuKG470cAfAQAFhcXjSdEAnR5MIpWVQKmkyhgnIjZbieu\nXLRJl66hHpgcmsqZ37V5gz9OglbdVY2q58lHuGz9bZzbyGLW1nRMhrMSLaZekTyoBEx3G9X1vn1N\n0/hhwTTTS3l7R/kC4JUQZSTs5n6hfauqc5MTMe75lzVWIoR4bQO4IHy9AOC6fKMkSX4CwP8A4B8O\nh8N7dP1wOLx++N/NJEn+FMCPAJgQr+Fw+FkAnwWAp556Sil2MpdOzuHyrT10B31t+qXCJFuAXrgA\ns3SJaZdNukxlRtMoCRVVSJfL3C3rYzkIFxf5sbo3wklYHSQ3Uj6xNy6L7+R1nzEVTfuw4LrC0TbT\nyzRaQsZr1MShyPikRVXM5qpDqmUixKrGbwFYS5LkYpIkDwP4EIDM6sQkSX4EwL8E8L7hcHhTuP5U\nkiTHDv89B+AfQOgN8+H9L76U+ZrESJ6r5UN30M+UFX2li9CNj+D0drnKQRmT3MULMLky0FW6uv1B\nIdKlYvlsJ72Ix51moki4M43jJIrCp8TWhOesaypnE9Clc4cN8YxG+/Q+Dg33gHvTfcRMbvEaDocP\nAPwygD8C8DcAvjIcDr+TJMknkyShVYr/C4CTAP5PaWzE9wF4OUmS/wDg32HU45VLvFTklS+bcAFu\n0qWb2cVpqHcpMZaBSbRyPa4gXCbpWt8fZC4hyCtgnJ+97sNTo0BEqsRnpWTTnrMhEzqSL6f7OC7Q\nEeUrClg+ggxQHQ6HXwXwVem63xD+/ROa+/17AH8nxDnY8Ck7mkqKhDguQrUdELeZntvXVQfkMmLI\n0QmcxnkAGcm6eGZ0uys7dvlyWSlKOwRUuT3TVq9fq2XQkXLY2j6Y+g2yffu9mtDrRUN3XbCVG137\nvYDDsqPDgNW07+uw8Z6oe2nPhTL6vFo9uV5GlC+X++jQrVwE1FsC+fZ1kXBVnXQVOUmeK1zAWLpI\nuAj5axlZzDgSRufSdfwbNGGMh404yT5SNa79Xm3t9XJZ3ejS75Xex0G+APVUeKBdAlYkrRKvpz//\nEjbe6GNlTv/HN4kUF5NwAW4rGAmVBGwGbPjOi+t+iezHDSBcXMT7iRLGFTBxJWTVf4+8tHnJfhU0\nobdommhr6mXDZbZXeh+PrYVEMhIWBYxFkC2D6sbGXn9iYnzox9WlXC4rGAF9X5eYcuV5kw+xwq67\nNwg+SV5unC9aumQunumkj8XtDRPPk9v7Vcctm1xLWFEqeITqMap6AnzTaWuvl8sWQi6N9oB7s70O\n2q4n9oGZaZ14XXpsdjwpPpCAycKlky5gJFwhpSsPJF15yl1FiIOLcAF26eoeDNA98DtPEjCX5nyx\n+d6Eq6jm2fOsKJr2JtYWpr2/S2Rx9YyzjC5eOtOIDwxFpHI+qxyBcPIFxFWQNlpVahQhObr8xlia\nTCVIGVnYOGVFbk8XoG+mDyldefuLQpcXXUdDqBroM48nyNby6Q66ll0AdGVeenwqP4bYqonDxu7+\nxMrGKmbeRPLRhDf4SL1xmetla7IHxiVH134vkq/eoXz5lB4Jcfo90Jzy4+bNffzEh34b//bL/21h\nx2iNeD39+ZeU16sEjItOtgjTjC6OdMlv8KGTrjyElC6fWVyclAsYCRch/ltm8+Y4FdMJWFp6ZAyx\nBUY/TzfHeI8ixkksrsyjt7Hrtbxc+5ixyd5KyDJjTLvC0JTnLfV6ceTLpcneV76A/H1fhLwKss7y\ntXlzP/23aa/JELRGvGyYJOryG+ZmeRFTwkVUJV2icIVYTZdHulya5mVM0iWnXFzotlwBC5F+1XmC\nvc908CY0LDeZ2Ns1vbjIF8BLvYB6yBfgt/djmZB0FS1cxNSIl4lQwgWUK13yG3uo0QXUTO913xyT\n5n1SLldkAQuRfpnmfDV5nIRI05bpl8XV7YOgfXAx7ZpeuKscXTfODiVf6fE9JUzc+xGoR+mxbOEi\nonhZ4AoXUI50FSVbIej2B7mECyhWukSWT3ec0i/t4xyOmSiTxYtz6F3Zc548nfu4DSndNJGYdpnx\nSWibSujUC8gvXyI9Q/M9e+/Hinu/OML17Me+hM8/9wuFHD+Kl4Q8g4srW4D+zds2IJUjXaHLiKHx\n3duQMyaCK13rr6nPQfc35KZfbcZnnlcsOY4I1VRP0hXTrkhRqReQT74yj6P5wOe68TZQfu9XVQmX\nTCvE64c+9RnrbVbmO8rBpipssgXwhAswSxd338UQYyGKxLe8GEq6ROFamc/ebmN3kH7fJGAm+bp4\npoN1xj6aTcNnSxZKvaJ8jQhVZozSFREpIvUC/Aassh/bY0VkWb1fdREuohXixRGldcUWPq7I+yza\nEhLTptfc8lTdpYsIuWKRsEmXSbjk620CZpOvyJgoX+GIJUY3pmHHhSJTL8BvT0enxz/sC+NStHzV\nTbqAFg5Q1ZFHujZvDjL9W3TRcWVnwJIuU9rVuzZIZ3HVWbpcS4whpGv9tbFErcx3tNIlIt5OV5Kk\nY+mGsXIHrFbN4sp8YZ9q02NM+WDVEGXGWGJ0I/6eJnGZZl8mS2dnnAaxitsOhaSO0gVMkXi5QKKl\nEi4TJFxAvg2vm5JyEa4DUfNKF8AXLhmufMmE2qqojvimLk2ZDh4a+plDyGdImShatiP1xUe+zK0y\n8wAAIABJREFUXCfb++A6Bb+ISfd5pOvZj30p4JmMmXrxkiVLlWy5Cte0SJdL2rW+P8jsj6h9TKZ0\n5cEmX+J5TJxDgNSrt90vZHiqDyHe+KdRvvJKV8hBqb3rB6l0if9uK7E8m8Wn9BpywLL2GI5bEIVO\nvTZv7tcu6SJa0ePli2n8AwdxzICt8ZorXU0QLpFQm1tz+7nyShdBiy3WX5vs/aN+LxnbaIlpZNr6\nvUKWGENAkiX36/QsaUYZb7yELIJ5ju2zICSih1KvuvR7hUKcQl9HGi9eH3hBvVWQCe6KRB0uwgW0\nV7pslC1dtAOBDnlQrkm+6LxUz48i9nN02SA7xCa2IZm24ap50q5QSZcoM6o3TdMb6dbGblAZUiE/\nvng+ohSWKYBtxfc5Rb/7ECMmjMc5O4Oew/T7UE32dU27gBaIlyt5Ui5f4QKaJV2rcx10r/lPrwfK\nlS5RuHQboW/s9XH5jb5WvmRcUy/T9HqR3rZesFw2yA45PDXUcMq2p1550y7fN0hd6dD3jVK+n0rE\nTIhv2NxjqL4nHtdFwKZpmGoZpH/PgtMvzowvWuGYh7qnXcAUiVeolCukcAH1ky4unCn1RUsXR7jE\n75vkSzduhDNewnV6Pbe/a6vXL2y1T2imJfXyTbvySldRb4Y+jx3qDTqvgEXCEmrAqvKxSy451jnt\nAlreXC82zHMb5WXE0RCuZUWOdPnS2+4b05Mq4TSg55Guy2/0U+lamZu1ShdBt9OVJOVm+zzbE9V5\ng+wiaWujfZ6fq87S5cPiynzQcxIfL/TCgLavvA290GDp3AyWzs1ga2O3kFWPRbdJFJF2FbGysXWJ\nl+uQUxVyKYnbz8Pdd9F35aIoWpSabBjka2khn/X3cpQbQ2wBJEuXS8KlfczD5Et1LN3OBr5DVbl/\n31e2+k5lRhtbG7uVJAdtT7180q62SVeRLK7Mp+lXTL740+uLmG8mpl+ZY+XcaoiTei2fmcFmjj6v\nuqddQMPFS2ysz1tKJFxKiumxHUuLgL90yWUqXdlqY3c/vY+vgOXp8dLB3QJIJ12+wiWjKjnSscWS\no67Xy4cQYyTq1lgv08aNtH0TE980YhqliyD5ilQ/pFglv/JqWZ/nKHc/R1ea0NtFNFq8QskWkUe6\nXMqKXOlSJVxc0kQsgICFhrvvIhFaunT9Xi77eVZJyMb6omhbo73rm6DPVHrbSsVpIqZedqqYZyb/\nTVxFrOheryakXUDDxSvknnqu0lVkypVHuGTqLGAypr4ulXRdvjVOfy6ddPsEpSs51oUiJjiXRZtm\ne13dPvBOHnyka9qFC+ClXm1e2eiSsFa9jZIoYiH78/KWG+tOo8UrFL7SxRof4CBdIYVLpiwByzvZ\n3dTXlV53KFyrnfH5Xx6oS3A2IVOVHHVzvXS4rGiUMc3vKmtFYxFvYG3o9yqjxBhTLj3TmHpxt6Oq\n4/R+7ubbrnO9ONR5Sr2KVq9q5FA36VqZP1XodjLcx1+d63ivzAu1r6FcYrx8aw+Xb+1htTObkS4A\n6XXihe6jQ5Wi+U7G5zwfdHAb6+ve3yXThhVlRaZdYsrFka7ejYP00nZCS2iTnofc51zVaZeO2KNn\nZ2rFi7OhtY6Q0kVjIYoWLt2xy6R7MHAe0SDLkSxcJkjASNjKQjWbLdT+jE3o75Jp0psekSftcpUu\nDiRblBKIEqa7REZU3aTOhVvWrmPaRVBCyZGvJn2QDD1SYupKja7T50U2bzCnkztIFxC+rMhhZf4U\nNnabswqEki4fVjuz6A76qXzJ5UfdCseqyDM4tW6fNpvc71X0G7avdHFKNFtX9tL7NVHWpw1X0a9r\n2gWMR1EYb1PRHo51YWrEK49wAfw+HtdG+iqkqwnY9l0UWb+tlo21E+M3NpI2EjCSr7o32ftQt76Y\npvV7lZV2cZCli4t4+56QLEyzhNVV/rl9XU2jyP0fRcoYI+Gyly6HxorXB5/nb47tW1IkihiMWtep\n8xw42wW5ohojIfZ2ZW6rEK3VTvZ8uoMB1m/vZuRrdLtR+mXCtIVQVWxd2Wv0m2bT5nsV9SbILTH6\nCpcKlYQ1+bnkQ93ln/t8C7XJetFwUi8g3EyvJjXWAw0WL3m6vK6hu0zpch2KGtOuLKbGdkqsSLpk\n0Zq8fUcrXwAmUq/Le+Zyo+/0+jKpW5lRpu7ylXdbIC5lStfEsS/OZcqQMiYhC1ka4oqfaWVjm0dK\ntAVT6hWi3NikoakijRUvWaTWd9SlQF/hAvyGo0byc/mNvnFYqk265NutD0ZCQgIm9nyJ/V66Xq+Q\n0+uLpm5lRhV1LPmEKPfYkghOAlCkdBG6xzYJme2+LnCbqouYYl+3556L7Ne5qV5FkZtuizQt7QIa\nLF4yeQRLhcvYCFeaXGYsAtUWQQRnNeLGm5MvziuPiv1dk+mXXHJ07fVa3x8Yn3PdPfcEdBqoW7N9\nCOHilH84JcYypMtEVccti7o99wiXlYxNKDOKcEqOvuXGpqZdwBSPkzDhKl0uexpWuZKxCaia6sUy\nI6VYG2/uppe1mdnMRfz++DE6WO10Mv1hNGqCWJmbHc8Om+8o+84AdVm72x/ftog9LtsEvdFc3T5I\nL2VDx128dCa3dHGps3RNC+Jzr2k0TbpEdMll3l7DJqZdQBSvCXyTrqXzHXT3eOWoKF1muHsyiqKl\nu16VhsnN+XKq5rKiEoD3QoNXtvoTw1PL3ipoq1tNwzEJD13KkjDxGKEa6EOUGIEoXWVRF/lymdvV\nZOmqQ/vDxu6+8uLCT3zot4OdTxQvDWKC4XQ/hnw1aX5W0ehSJSArRLqRESZU6Vfa95U26WdXTorS\nJ6Zey6c76B5kzzXv9kgqqtibrA7NyWLyVISAyQlXCOkKmXZNk3QtXpyrfIZTXeTLRtP6unwpY5jq\n0sJs5gKALWChk7UoXhLLZztpguEqX5wSU103qJbhpnch4KxmHP17XGaU6d19Nb2IqNIvm3wB9tRL\nLjcun+1MPF/k36Hqf/BQfQpbG7vOnyyrSrtMqARMdzEh3zaUbBHcnpuQGwdHwlKlfDVpI+wQLJ2b\ncS43Lp+ZCVIB0ImVq4CFlK/WNNeHZvlsB5s3Buj2edPqRdrSWF12r5JLiY9kikRr9fFRYtB9fQ+9\nu69i6fiTE7dfP+hj481drDw6nzbcE2KzvdhoL870Wj7dQfdmdqyErsl+6Xx2r8ulhdmJRRXvXJwN\nPpjPlTqkXSpYJRjLXKaiZnG5NjrHtKtYtrYPvJ/HVTbcczbCboN0FQHnAyuJlC3soO/3tvvY2N0v\npRWokeJ1ZWeASyUcx0e+5DdcHWX9gZsGt79LhKRL/Hf39ZGQiQJG8pXettPB+iA750scMaEbL0Ez\nvS6e6UzMk/MRdS69GwfBBl/WMe1ypYpJ3y7SFTLt2tzhP5bvdlNNhGZ55XqMkuWLk3ZNS4kxD6YE\niitdIvThmO5b5PtzLDVa8G2cNpXqmlJuLBrbGAl5aCqQLTPKZUWR1cfnsPr43ET5cW1mdqJUKZcc\ngUkBFHu9Jn6Ow16vkNP85TfaQoZp1jTtqis+S/o5KxnZj7U0a70Ao+cOXZrO4sp8KeXassqOLgs7\nYtrlh490ET79Xz5E8WLi0u/VhHECTWvwF4emiisZxbRLeT/b9xXDWOVVjio5pEZ73Y4J6e32suVG\nTp9X0Q32bUi7ymRr+8BZukKuZHQRKJ2E1ZGQDfYhEqKy5ItTYozkI2+4IQtYaKJ4MQi9L2FdqFPy\n5jrCQWb73g1s37uh/b4p9RLne4mpl3xeptRLBUfAQzRs+jTWx7TLjixcrglE6LTLlToLWMgEN2Qy\nVGT5etoa6lXUfVszGRKw0OlXFC8HfEdMREYJkU1YfPq7ZFTyZUu9dMijJWTE8RLiaIn4PGk2eYSr\nd/0geNqVNwGVBaythEyKihhnApTfl1inVbV1mOfli5iAhSCKF5MiUq+mlfuqQJ5Wr2Ph2Nn037rk\nS+4JMz2ebrSEKvUSy42c5wn37656k6x6/lFbIdnKk3CJ2wKFTLtCUcf0K9Tvgv5WdS45umwNlBeX\nDwBl0bt+UOiejcDotdVFkLp7g1JHJxFRvCqiyjKf65OzbMTGehnVpHrCJF9y6qV6HFuTvS314sD9\nvatSjpDlmdhHopctnzIPZy9Gkcr2Y9Q04dsuhZyLw++AIxFFyFcIXAUuVJmxaMlpMiRc1A5StoA1\ncpxEFWzeKG5MQN0I/QRUlRlNKxpDsX3vRkbGTMhzvWRotIQ812vz5rjJfn1nPNOLxkosne+ge808\n1+2di7PYVGwf5ELv+gE7yg+xBL+pyG/Ked/kXIWrLriUL7d6fWzuHFQ2pmJxZZ7dG0TP7TyzvUTy\njJgQhavMtCt9vIb1U5UFvb+RdNF/e9ey8lXkLM6YeFVM2eVG7vGasDJThSxaYvJF4yVEOOVGW++Z\nnHoVuRhDtd1K0970y0RMtUIkWyI+0tXEUnEV21jlIVTylafkKPZ0uaRnodKupXMz6SUyRpYukaXz\nnfRCt5VDiA9//KUg5xHFq0KqKvfVucwYApIvW1O9qWypKnVSr5e8h6OIrsmes32QzOLSbG16cZqA\nLFk0+Vu+hCBP0tXUSfVNei4WIV9cAauqkX5a2Ly577Ua3CRdMqKEkYCFrARF8WKwecPtF86ZXF8F\ndWnmL6PMCIy2D3JBHCshw1lxqWuyl/9H14mvy76NqtTLpZl2cfVMK/q8TGlWEUvyqWnZ1kCvvG8D\n0y6iDqmXa7M4PQdCyBddbHuF+kpXG/5fbAI+lRw5BQtBFC8mrv1dnPqwvHdfGdQx7br8Rj/IKAkR\nXW+XqtxoQh6mSsipF2e0hGmYqukTXBlT7JuEKdEqCnGVWJ7SbpP/dlUmsLl+5wE/ZNg2cc+zGXtb\nZ3eVRdHBgihgeYniZaHotKus/RrrknbVDdUWQoSp3KjDlnqZSo7vXJzVTrEv4g2P3pCa8GlbJ1tF\nIwuXrwD4pF0hZngVQZNKjiIhn+diCiZeItWiCxaqGBlhIoqXAZKuItKuKqgi7eIMTr302Cw29sKn\nfwvHzrJXNRKu5UZKvQD7QFXfkiP3zddnX7uQS/CLIO9sLV9CCRcwlq4mp11EHUWQQ92f54sLM1O7\n0rgs6rRgLIqXBh/pir1dxbN+kBU01z4uHabUy1RuJFwGqtpSL8De76Va3ehLXd+UyhYuki2xhyuv\ncLVJuqom74bZdX2eR6aPKF4KfJMuoH5pl+tO7XWLZAGk87VWHs2+CS4dfzLI45uGqcqszM1OlBvF\n1EuHnHqlK2wUf5cQ+ze6Upc3JVVJsWhCplvpYwrCFaUrHKHkKxJR0e0P0kuRRPES2LwxSAelukpX\nHdMuV+kiOJGsa++bL2snsm+CK4/OF5Z6EbRFkQg39VKVGyn1MpUc65BKViVfIbbrcSV0upV57EAp\n1/KZGWz1yl+AU3dIvnwFrC0reiM8uGECvT6Lr9dFCVgUL4yFC3BPuXrXBugdTiZ3SbuKXtHoI13c\nJ2gZE/y7g/HvZ+3E/MRUeZIvSr1Cy5dIniZ7Wb4Img8jIsuXXG7kNjWHKscU9eZU5FBTE0XKVnqM\nWFosBfq75XmuR/maHmxhgixdy2c76aWIFGxqtwySE5v/v723DZLsOus8/wc7bAV+q8rqbnWrW6nq\n6urGwy4RZqLHy+5sDGBgYPiAPLuGMchGBhEKWLA9Oy/ChMUGMbID4/3gGGHeNBgkWxZ+m/BYDCa8\nfsG7MTOYQex4sAG7K6s6lepWt7u6sks2eK3BcPdD5sk+efKcc8/7Pffe5xeR0V1Z+XIzK7PyV//n\nOc/xkQmecrW9vCiSqwFxd18/y+vcC48oE6bRdIrtwQBnvvHoUk/W5i23Yvy1L2H05eu1Q1NjcOaI\neTHA6HCK7bUBTh8f4OLV5dcZ30pIZvPUxpKM3zHcwJOTm18PNzes0g+X7VW0t8Hla771yuJ8z61T\nVB9wOZvkF/eZcMJ/X4RrMj5obOsgmZDXep+3zbJFfH66XKKVpUuGn793JZ589VK8Qnq4OKHSxT9o\nd/dvRB0pESJdtowOpkHb4px9ycCqL2rpOi84utR3NSs57i/6s1LI185f7S+VOi/85XWce+Hqbev2\nb1zczo3ZHo5bJwZLwm+zj2OTiL9sZQkD1CKmSxFy/+LOsYfiyhDbBNK1dXwNe+ODIlYTllj2HJ45\nivHuvtfWOFy+Yuzp2DW4dA1PrUVJBnnKnIrd/Rten3l10iXCL/NHzveySq/ES/zQa1K6ODHlSyxT\neb0AhZ3afRFHKKTg7AuOYme6v9SDtXN4kES+5E2ztwcbS+VPE1vHBhhds0+9Rtf95Wt85RCbJ9J/\ncMjipBIx3WVzk0q6VKtIu55wAcvCVUraJeOySXyp8JESTb9/OLGkq0lM7TMu0hWbKD1ejLHvY4x9\nkTE2Yoy9SfH95zPG3j///h8xxjaF7/3c/PwvMsa+N8bxyMg9XL7Sxfu5gHjlRS5JIc3VYsrV9GR6\ncZRCHbv7Uo+TVL7TiY5ulSOQp+cLsFvdyBvtTx8fGHu9Fv93bLI3feiH9L5Y3bdiD8Scc7Z0xJQu\nPg5CHgshnroOl66t42vFSlcpU+1j0XQJlN+/2H/ZZlSBAq/aNCFdQATxYow9B8CvAPhHAL4ZwA8z\nxr5Zutg9AG5UVbUN4B0Afml+3W8G8GoA/x2A7wPwq/Pbi0YK4YpdGvKVpd39G4uINUS4Yo6QkNMd\nACulN2BWbhQ596Ll4+clPVm+eOlPlC95lePmLbdi85ZbMfry9cUpNXK/mmporChfKZcrp4z0SyXW\nlj6lilbOMt9kfLA4pRYuPo8udCZd6JiJUuSLlz2bli9+HG2WLt3nWupRETbEKDW+HMCoqqo9AGCM\nvQ/AnQD+XLjMnQB+Yf7/DwF4J2OMzc9/X1VVzwK4yBgbzW/vD0MPKrSPSxwPkaMHZ/PUBnYvHViX\nHGP3csVoqj+7PlgpN26vLY9YcIHL14Xp9aWVhXK/F7BccuSIc75GX57tz2gqQe5+dV+ZosXApdGe\ncCNUuHL0aoWwdXwNe1cPMfHo9fIVtpzp1vD0EUwuXl/8HHKUzpfuv7BGe1m+mpAfPkcvBqnTdxO6\nz7Wmki5OjFLjSQBPCV9fmp+nvExVVV8H8AyADcvrOhNLulKkW3XYlJpiSpdv2qWb43V2fVUwttdW\nG845deVGYCZgo+nBSvollxzl5EtEHrYqb5StGqKqQl5tWTdWwhbVz0G1d6MLTf7Cy0FIymVKtkqE\ni5CYRumkSv4+T61cTrkRn3vf9KsrqRenyfQrtuzlTuFLTruAOIkXU5xXWV7G5rqzG2DsXgD3AsA3\naj4kYwpXE4jN9iJnjq4HN88b79cx7dremJXK9q7oVzdevDpd6ffau7a8b6O8uvHci2Z9U7vXD1b2\nReQjJkbTA2wPNhaplzxiQpV8qbCdei+ubJQb7OvGStQhvk5jv+ZijJUolZAREeKHeqmSpUMWIp6C\n2Vy2LSzk6+LsD5xc6VdpqReHN7iX1HTfFkpNu4A4idclALcLX58C8LTuMoyx5wJ4CYCp5XUBAFVV\nPVRV1fmqqs7f8oIXr3w/RLp8h6CmgPdriX1bJTXPc/jzLC5c4Jxdn31PTL621+aXVyRfYup17kUb\ni02zZamR+75U/V6AOflyRRwnISduKTb2FnlycoCtY2GrXbuUesXa2qfkZMuFkhKr2Ijpl0sC1rXU\nC8iffHVV8GzHIO3cmCZfoR9DvP4YwFnG2GnG2PMwa5Z/XLrM4wDunv//VQA+VVVVNT//1fNVj6cB\nnAXwn23ulH/gh27z03TKVYcsYSUhPue+8sWb7OWSI2+2jyVfcmnRF3mOl7woQMfFq9PFc7J0XEIv\noc9uBqbNsrvSZB9LuGJtKk7kIUb50en+ChYOUb5KTOaaJNZ2a1y4Th8fLFaii6eYBJcaq6r6OmPs\nZwB8DMBzAPxWVVV/xhj7VwCeqKrqcQDvAvCeefP8FDM5w/xyH8CsEf/rAH66qqq/qbvPZ//66wDa\n0zhfMttHZkM8Q5rrdaVH3mwvlh15s71YduTytSNNs9eVHm3LjivH+eIjWVY41sH/UOCIr8GYw3S7\nQKyVikCc0qJq26YuJEwlIzbf25YeQ+Z6TS4dFjlUdSFfFqVHGzkrWTRdEYMJl75lUajk1hjxa9Vq\n/RCiDFCtquqjAD4qnfd/CP//GoAf1Fz3rQDe6nJ/z3/uc4O2+AHiCJeYUJSYSOWE/zxGnvIFzHu+\n5skXFzBRvgAsBKxOvkzY9HfJe0O2mTYOl4w1jyuGdMmyJa4snIwPlr5PEpYGLl9Wl+34VkJi35fp\nMibk63dJwoDV/i5TU73L7MlYdH5yvShbgJtw2ZR+5Mb3vrO9MQiXr2emS3s58nKenH7p5AtY3VLI\nB7m/Sywz7l4/WCoz7s63DOLszSfXm5DLjGLaFaO/C2hfk32svRVjNdFzqdKNcSAJy8fw9BGML17P\nknqVTmgiJ16/hOb9zRNrGF+8nrT3Uu7vSt3HZaKT4hUiW8CycNmUfs4cXcfupYPep14cF/kCgNG8\n50ssPcryBahLj7J8AVhJvWL1d8VgZXP2npe6OTE3s45VWty7eug0N4skrBxipF4llhtTkHJroNR7\nNIbSRNoFRNoyqAR4o7w8g8v2g2186WBxOnN0fXFyOgaP5uguY9NwD4Q33YtJlJhSAbMme3EbIdsx\nEjFZebxSmbzPr5tYjfOL24vYzxXCcHNjcSIIghBpvXiFyNbiNuYffD6yxeHXa+uHqJwShuKy2hHQ\ny9fZlwy08rV03nzIKmc0nS6tcOTbCPlQN0ZCPj7lFknSikb5+U7ZVB+6xD42XLZiC1cp0qVC1ZRP\nlEuJezi2jVJ+59iOkchJa8Urxv6JcsIVSltXpKUqd8WQLwBa+VLN0RpND5ZGTNjO9qr7ft0YCXnv\nSf5YxDESfS8zqmQr1mbWQNz5XK5lRhP8drouX7bN70R/KLXMyMdGNEUrxWsxTsIz3YotXCJnjq63\nNvVKgUm+dNsLAX7ypSo5ivKlYufwYCFd/HIhKxp1WyNxbFbjPjlZff3wDYvbRop0a+n2C065RLou\nX1y6UsuXaW5dCij18iNW2rV1fC3rBvG5aGVz/S3PfW5QOTEH4xY2248D53npMG0xdHZ9gB1peyGx\n6V5c8QhgpeEewMqcL/WIidVVjrJwLR3XC9RyUFdmFI9fl3bxXRIAfWk6xopGmZyrvGI2y2vvoyXS\nxRlubiya7kuU6BBpElcapl6dloPFBtU9abCPSaxRMF2mleLlSm7pauOICS4CI6n3SCdipp4w1XVc\n5YsjD1pVjZoQVzryVY6L2xZGTACrJUVZuuS0S+7v4ve5dPwv0W+HJKJLu+QxEinIMVYih2zJtO0D\nvmn5qpOrWHsjTjogXyRd/nRFumIPTuV0WrxyC1cXEJPE0fXpkmBxoarbZkk3Cb9uc215Y23dlHud\nfC0dgzBeYvb1LPXiE+1N5Uc57eIlTFXa5dPbVUeKtCsmpjJCjl+4bUu6ZLh8pUYnWak3nt48sYbx\nlcNG5Wuyu+8/ub5HoyREYszyarqh3mZqvU1/lyhcqq3eQumkeLnO4SLUmCTMVOo1bUPksr0QYC9f\nAKxSL5NwjaZT49BUQL83o23aZUoKdWlXrA/p4ZmjGBs+kPgvTdX3m0izVLRdujjDzQ3sRe7bk0Ur\ntWCZKEG+CHtizvJqOu0SP3d8VjRy6UohXJxOiRcJVzpce+pSyJcIly+OfeqlSelqSoyuaZcJU3+X\nLu3KVZbicqb7XpPkkq42NcCLstWkaKng8tU25G2D+pR+haReKdKupt6LKaULaOmqRhm+ShEIm8VF\nxGX7yECb8PiMmrBZ6cgFSU6qxFWOIqPpdJF06UqMi6/58FaHuV1yU70Mf62m6u1SofoFKSdaqlNT\n8BldMcdF1JFr8KnvB8vk4vWFdG2eWCtOujibJ9ZaOWZiuH18ISCTS4e9WN0YQzB9f0+YBF18L+5d\ni9M7rfvjWGwRSUnrxYuEq2xs5EvG9MI3lfTkMqA8VFWUL5Nw1aVdgH5ulwrxcZqSQ1XaVVdmdP1Q\nM/1ibDrRkil9KGoornLHZWsy36+wZOFKSc6RErKAEfFxfY/fMQz7o0j8414UMBvpeuy+u4Lum9Nq\n8aLm+fZgki9V87ntjC9T6qWCi5ZKuICb0iU31NumXeIxm5rqXWa91ZUZQz98S9xPLcVQVBtyljZs\ne/fakm7paGvqJdKn9Esss+Yi1ntc/kPf9PkiC1iOpIvTSvF69r99PdkAVCI+i54mQ2O5TlJ08qVD\nl3qpxkJob8NzSv3i+8IbWGyql9OuJsqMpdNEWVEm5/6Ktr17bRSurtGH9Mu33Oj7x1vTPYD8d7WN\ndLmuTjfRSvF6/nOfQ8LVMoyrIGv6vVTISZMp9eIixQWMS5j4tUrObPZkFKXL9q8m/keDSOkjJHLQ\n5bKijEva1RXhanvqxcktX5MLVzG5kDeFypl6Nf1+zy1dQMdWNRLlo5uOb1zpWLPK0WaFo5hiXfjL\n6yslRRldiVE3LFVO5vauTK1GSJio2yaoKx9kpQhX7hVUJU6vT0VbVzjq4CsfJ5cOk6165LJ1+/z2\nbeRreC5sDhcQd7SECZ5sh7C7fyP5DjFcumy2e7OFxIvIxvaRwWIemEm+VMgjJoDlqfbA6nZC8lZC\nHJ1sidcD9NK1OF5NiVH115E4QiJmWuuahoQMloyN+EHctHRxcpYZ6+hS2gXM5SvCXK9S/uBIIV+i\nXN0u3ab8tcxTlw5X5CxExGIMVNXRFglPIV1AS0uNpdO27YJy4tPvpYqCV6RHkqKFNBka7VXYSFdd\n2gXYDUwF0g9NLQ3ewyX2cZUiXcQyk939xSnq7QqLBXyuC5Qzs4z3fYUmRGI58fZTa7WSpYJfT7y+\nb4ky5ewy24Q7VgLNG+xdy4WppAsg8YrK7v6NRfTZtg2yc2KSL12/F6AWHFOvlyhfOgFqZNq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fmuYrORryZTL06u1MtH9FRvntRNkabkS6Suv6BuDk1d6gXYy1dp6ZcvNvI0GR+snHykC/Dr4VLe\nnsUHThelS4WqJEl0A9Nrt/aPjoByo8tiMJ8SYy46t6pR/BDs0nR3kc2TA4wiT6/PMWC1bk9Gl1Sx\nTrpGh/ZvrO01t+fRZqyEPLJDN9OLj5bQrXAEbq5yrBsxsbj8fNREH1Y8+q5WjJ1wAXYlxlTSJa6u\nk4nRNB2C+FiXVm62ZIUkpV3xqJvfp+JJxyGqIqWVGDlB4sUYGwB4P4BNAGMAP1RV1Q3pMi8D8GsA\nXgzgbwC8taqq98+/9zCAbwfwzPzir6uq6rMhx8Q/uMeXp9H2+pNv25ZSpuTaknLAqu9G2Ka/Wure\nOFvH6p/3vWtTjA6nWvmSZ3zpxkqIw1RNErt37QbJlyWm4Yq+fVxAc9LFidnsLaKTA5WUNSVjiwRM\nGFeRSsBiJGwmoe0St59aw+TCVefXhWmQaoyxElvH1oPaNHxI3VgPhCdebwLwyaqq3sYYe9P865+V\nLvNVAD9aVdUOY+w2AH/CGPtYVVVce/9lVVUfCjyOFUIbn0PJIV11k9N9iT1g1aaE6dJUX1ebHx1O\nraQLuClno2tCUqqQMHHGFx+C65N6PTlRC5nNUFUf+QKAcQGbMsekJOkSS4s2fV0h0mUrWjLy5Z66\ndLhyW7lFLLWAxUwWKe1SYxqkunnbmrHdIfd2YSJN9nZxQnu87gTwyPz/jwB4pXyBqqouVFW1M///\n0wCuAUg2gOjR+8uZ5+UqXS59XqnEMnajPZcum9t1aapXMTqcOkmXyNaxwU0Jm98ORzdmQj6+utES\nHN1fcHWrHAG3nq/FdTrU+xWy32KKpAuYfcjYNtO7Is6MAhBlbpR4G/x2xPvJmfKk6APrSw9dWzG9\n/2Lvp6rj4tVme7xCxevWqqquAMD832OmCzPGXg7geQB2hbPfyhj7U8bYOxhjzw88niKw2dZGxjcZ\ni11O5cRotLeVLte0S3kbc1Hyka6l+5MEjCP/hSQPwFWJsGqFI+9VMMXnLvLVBwGTm+dDZ3NFO67d\nfacU0UUEYsuWiToRy0GssRQxpauPvV2xf94uqxtj7KNqQ93WcDmoFS/G2CcYY59XnO50uSPG2AkA\n7wHwY1VV/e387J8D8FIAfw/AAKtlSvH69zLGnmCMPbG/3+096mzhH/bRe9kizPZySboAtwRPliAf\n6dp5pmalqUa+RPGTpXDz5ED5s3CRL97PZCNfpQtYjCGqXLR8hQtI29OVgqaHdJYkYcDqtHyVjPHz\n2zoTrQR8X2s6Oc7Z2uA7cUAmR38XYNHjVVXVd+u+xxj7EmPsRFVVV+ZidU1zuRcD+D0A91dV9Rnh\ntq/M//ssY+y3AfwLw3E8BOAhADh//nxVd9xNEToWwnX/xpDNmo23K+zp6Nrv5SJdpn0ZbdIuG+nS\nSZZ4/tmXrF5/69gAe9dWryvv6Sj/zGwa7Rfy5bnScXHZuXzx3i/AXjBK6AFL3euRqrwI2D9ftr1d\nJe77Jx6H2BuWqydM97wp95Es5DnrEz4bZnN83/tnjq5j99LB4vNl+4j6D96SCS01Pg7g7vn/7wbw\nEfkCjLHnAfgwgHdXVfVB6Xsn5v8yzPrDPh94PACa7/PyLRuG7N84up5gFadl8rW7f2PpJF7X6n48\n06466dp5ZoqdZ6Y4c3RgPImXlSVt69jA2O9lU3IE9M+hbkuh4ebGouerLv0CykrA+G3UrWhKIUOp\n72eyu+9cYrS63RZsRaNKwZpCt5ck0Q5070mffRvbSKh4vQ3A9zDGdgB8z/xrMMbOM8Z+c36ZHwLw\nDwC8jjH22fnpZfPvvZcx9jkAnwNwBMBbAo8nO6OD6dIpFB/52jw5yFZ2lCVLFC3xZIMp7ZLR9Xap\npEsUKC5WJlQStnJMFv1eHLnkyJ8TV/kCVgUsdQkSgLeAidcrYQPv0H3hVm7PIxm06VESpasNlCRg\nqejiY7KlyT6vvhA0TqKqqgMA36U4/wkAPzH//6MAHtVc/xUh958blRCkGBehmxVVBy87xh4zIZYd\n+dfRbluTEKmeV1XaJeMiXCrOHB1gd38mbrz8yEuO4rwveb4XYC45AjfnpM3uZ7m8qBuwyuG9X7wE\nCZibUX1LkFyY+AwwwCwasqCVIFwisafR+yRdNmlMW6RLhB9zEyXIHLTxZxLK7afW8JRH6VA3z6tu\nrERKtjdmY390n9EXry6PlcjV3wV0cHJ9KnIPQ5VnRdkiyhcQb3p/7DETsdMuMaUySdeFr9yMsc+9\nSP2YRPkCZv1fKvnix3Z2fbCQZS5fOgk29c5x+Zo9tvIErO6yJREr7fJJufqGKChdFDDCjG+f1+aJ\nNYwj9XhuH5nt5mLbtnJ23W47uFR0aq9GkVh9XmIJsYkJ9D7ly5SlxxjwY9LN7XJNu8SUSyddF75y\nsJCuM0c2cObIxuI88cRRlR7llY62/V7yz8DUO3fHcGNRejSNnOAlSABeJUhbeP+X6VQqoWlXqHT1\ncW9CXoZsYiYY0U22jq1rB0+3lc6Kly+qnq2tE4NGpCv0PsUP/lIETCddHNu5XXJvl4twLa4z/1o8\nX5awJuQLWB45EVvAAPf+rzYRI+3iDfShSVdfm7770AfWVbg4x2LztrUi+7zOrg9w8eoUF69Os5YZ\nARIvANCKVgzh2rkxXTn5HJ8vJaVfddKlwybtEhHlSRYrEyoJA+zlixNTvlIImG/61QYmF69j88Ra\nUNpV4odEW5EFrA30cXBqG9Hthytj6pduaphqp8XLVG4UZSumaIlwyTp9fLA4iefbEOt4mky/+H2K\nErhyGc3cLtWeWqa0S5duqbjwl9dx4S/V6YhcjuSlR1m+ODbDVQGzfKUQMBOlpF/R+rEirmLM1dPV\nlw/5tqRfJR9byfAdB3Khmy0pz7TkPdKlyVenxUsmVwlRTLZkcfCRLyB8MCvQTPrlm3Ipb6sm7RKl\nSwUXLVm4VOdx5PRLvt+VY5LkS/y5meTLR8BMtCX94snU5OL1KOIUq6+LiI9pb8gmhUc8hpLnqOUm\nV7kx1h9MuoVkNvKVm86vapSFJXWvlk64RBbyNd+os864fcdL6FgIgPDXQczxE5wQ6apLu+SxETrp\nkmVqe6BPwUbTg6XLn3vhkcVt7l6/WXZcjJuQVjqePj7rGTBNtpefe3nFI4Cl0R2qv+zuGG7gycnB\nQr5sV0DWrX7kKx9zDTbliPc3nv8Sdl3pxEuMUY4nQtplO62+j6jERhxJERPT6soSdwooBd+xEq5s\nnlhb+YNv6/ga9sYHi99fMdjemP0RvKcYL/HYffkHrndevLi05GiOt5EuEd0HtQ7X7YTq4BIgjp8A\nwiVsaXiohXTZpHmquV1yQ71OukyyJSJeTpSwcy88Mis7Xj/AuRdtLOQLWJ3xJf9M5TETHNPMNRsB\n48kXFzCdfAHLWxAB+vETTcoXR/WLOBcpJtKnZPKFy1FuZ/jSk1FuJwSdjOm+Z4ONzJFwxUU3zysn\nY81YCZN85abz4vXYfXfhNW95L0ZX0o6EcJUuDv+griN26iWyMtZBrpNbipircAFu89HktIvDm+gX\nXwuplU66dv7qZux99gWrIxH49UbT5QbOC1+5KV87+9OlGV8cF/kC1OkXsCpgOdKvpuVrfOWwkbSr\nbSVGLl233xH++0wncE0LWagUkVTlJWTfRhuenBws/uDkjIU9G4H6fRtF+QKaGREF9KjHa3tjgO2N\n2QdgKoFxlS7xek0Oc5PhvWByQ76uMV8839RAv3I9jXTJz8XocKptqBd7r4DllIvL085f7a+cZpcZ\nrHxfBb9NVe+Yrt+rbsyESN3Ch7r+L9/eL+1l5n1fTTfd1xGrL4zTlrQrpnTx25FP/H5ipWoEEYos\nXboGe2C1yV6EuwDQTJkR6JF4cVIIWA5p2vOYYu/L+PJ0cRIxiZiLcAH1SRcXF1VDva7EqCotipIl\nn+Tz+eWX5Wz5tvlKR2C51CmPmBAfg0q+ZAGrW/ggN+CrcFn5CNiveiwJLltcuEJHRwDx064cq7ti\nSZfp9knA+k3seV5AnmTZtkKT6/NURedLjcBsrMRr3vLepfNi13t9064m0f1VIL9wfUqIJkzSpZJY\nU4lx8X9JusT0iktVHeLlRlOh522woS058uNSlRyB1VIyf8yq0iNQv+WTvG+mb+/XQr7G8y2KDKXH\nsSA5OZBTLF7+5KQ4jthpV6rG+twCxOXrqSenS/fddBmSKJdS9m3kn28xPrNi07vESyTGMlPd6rvS\nGQt9RfJJJOo4CMvtl3RpF6BexaiTLjHJAoDdr+6vnEzIpUdVyVFO37aODZTHLQtlzvTLhG3pEcgz\nboInWGKSJQ5FjS1dbertil1idIHKkP3FJfXKvZL3zNF15SBV8bNMVb0B4m0r6EOvxQsIk6+S+rJ8\nsI1kY6dcOulySbuAZQFSSReHS9bZtY2Vk07CxNKjePtL8780s70Ac8lx8diE56Ku90uFTe8XEF++\ncvZ9pZCtlfuImHalLjM2IV2qYyAB6wdtX6BgI2BN0BvxMtltSK23rWmXjXTFHrJqU9J1SbuAZRHS\nSRcAnF1Tr25USRhHLlGKvWOq1Eu3pZD4uJRyWZN+AebG+7pNtwF7+TJepsNbDcWkL/O7ZAEjukvb\nJ/qLFZ0SBKw34lUHb7i3pa1pl+0LLnaJsQ6ftEssMfpIlwy/nJx+6VY7Aqv7OcrHLlInX7r0y2bH\nAXFJtYyLfNU13AN5S49dxvXDbPjSk3jqyfJ+71D61W1KSL22jq3jyYl6b0ZebuSnOraPDPAffu31\nsQ/RCRKvANqUdomW31SJUQXfXkncy9I27QKWU6gQ6eLIl1elXrbjJYDVxyLKV136JWMjX6E9X0D9\nakegG/LV9MBU01T1tkHpF9EkZ46uLxYa2QpYk/RKvGI107WtoV5upK8jVonRRroAtcDapl3ALJGy\nka7x1760dNLBy46c7cHAKfUylRwBLElmbPkCwhrubUdNAGWOmyCahQsYpV/dI1W5cfPEmtU8PlPq\nxWmLgPVKvPqGT8oVs8QI1Pd1ydLlmnaJQiQ30Ytw0dp+8RFsv/jI4jyTgOlWPZpSL1v5Auz7vmTq\nVjwCceTLljanXm2j1HKjDKVf3cKl3Dg8tRZlkclk7C9NJgF7+IHmVjNySLwcaUva5ZpyicQqMZqk\ny9Qj55J2AbNEylRaFKVrcZ25gG2/+IhSwFS3o0u9xKGqgL7fK4V8qYglX10uObZpjISKtskXCRjh\ngm6uIIDa1Euk1ASsd+LV5OwOHRevmjfJdp1a75py6a7vS10zva7EGJJ2AfbSJWMSMC50qiGssgDK\n8iWKYyr58mm2B1a339DR5ZJj7P4u37/yn3Lc365Nw0vb1PvFBdHnRORBNxC6Di5gpm2GctKLyfV9\nIlS66jYZrcN202tdamg7t4tjmkpvI11Lt/XiIxh9+TrGX/sSNm+5FWfXNrBzuCx8O3+1j7MvOLoy\nzf7MkQ3sXl++rLiRtvjYRtem2F5bPm55Y22Rug3SR9fV40E2T21g99KB8ZdN3XT7uk21F5edT7hv\nYmNtV1KmXa6jJIbnjnv1zgxfehKTL1wuYq6XDbJ8lSKPsjT5PJ/yVH8dpTzm1MTcKHsyPlC2Pqg2\nzLbhXW9/bYzDCqZ3iRfgn3o1MULCZcRFqHRx+KwTV2ykS/ccusztElcyAlj0dYm4ShdHdXld6iX2\negGrJUeOLJG66fam5AtottneltJLjly62rIhdh1tKDmKyOXH3GmRnFSpNgd3RbXJuG7T8bZj+0eC\nassgV3R/7PmmXiXRS/EKoYn+rroyo08TfWxsky5AX2J0TbvqcJUuES5uqvESuq2EVMj9XhxX+TI9\nrzb9Xjp8/mrUUXq/V0rpyrExtgxPUNooX+IpR9lOvO1Q0fKhC/JVwjwvEZdeL6CctAsg8VpQ1wye\nCnEDZRmbtCukid72tuuwlS7TwgR54Kiut2txW4bxDqHIwiaPlxDvX07fbFMvoF6+Vi5/YmA1jFaF\nLvWyxabXCyhXvnJIVxMT69sqXyK6fSBjiZgsXE3RBflqAtXqRp56ucpXKfRWvC4u3AwAACAASURB\nVEpqsjc11uvSrtQpl/X4CQfpUl7/cKqc8i7C0y7VasaUxGy0B9zly7Xk6NtoD8QtN5YmX6mkazK6\nisnoKoan1oKka3juuHOD/dL1O9Q7pCvR+ciYXE4sATHlI+ox9ZaK8sVPbYGa6wvFJu1qqqzIcZUu\nm1WMO89MjWmXnDD5cOnZKwCAU88/ob0Mb7TnxGi0392fYueZm832nK1jA2XDPYCVZvu6Rnsf7hhu\nRP+lNTx9BJOL1zG+cthow30K6RLLiqXsy9i2ZntbVI/Htpldd/1SmHzhcqekuQnkfq89xe+xO4Yb\nRZUZgR4nXoBb6tXE/C5T2hUiXS77WqngmzmL+wvWUdfXpUOXdsXg0rNXFhKmI1bqBZiTL0C/vZDy\nspqSo892QjbYzvVaus58U+3xlcNG0q9U0sUTrtjSFZJ6LW6jxSVHW2ya2UtKuVRQ2XGZuun1tsNU\nt46tr5xKTMJ6LV6lYko0QmZscdkKmWfi0kQP2A1KXVxWSLtU8LQrRn+XOMFeJ1+qXi8ZU68XoJcv\nGZOA2jbax9ptIDZNzPmKLV1iWTEFMfZt7EK/V5/oq3y5jnOpG2VTxyfe90+Drp8CEq8GMTXWm1Yy\nuqZdJuHySb1cpcu2xChy4SsHxpWMNvO7VMiSVSdfKkypl4hJvmz7vUyrHF1TLxN3DDeibaCtgidf\nOYkpXUCesmJo6kXy1S5KTuVS4Pue3Dq+FrSFUGn0Xrxsyo0py4ymxnoZlxKjWE7UJVwpp/iaNsAG\nlhMeLiG6NEg1u6uOukn1qq9V8sUn2nNUqZeIXG7UyaNOvoCwkmNd6hVabgwlh3zFGpAaq3nelhip\nFzCTL76nIwlY+VCzvT1dka/ei1dTmNIuFTYlRpVs1cnVmaPr0fevMkmXKu2aHcfNy+pGSIRiSrV4\n6dEl+eLI5UZVP5p2LIZiuKr2fhxme5k20A4lJPUC0spXrBJjkyMiYvR6AZR+EXGJ9bo0Yerz8ik5\nPvTg3SGHkwwSrwbg0qVKu0z7MurSLlfZ0t1GKDs3pot00JTS1DXUA/qkSO7vkudr1REyVFV5e4pp\n9jKu/V5A2tTLRF25MTT1yiFfbZauWKnX4vZIvoiIxH59itisfu5KyZHEC7NyY67hqSbp0mGTdoWU\nDU3XtW3mryst+qJKj2TZEct/4699SSlXl569YiVdqtRLVW40CZ+8lRDg1u9l2lDbJfXSUbeFkA2+\nqReQrtl+srsfra+r6TERMdMFkq92UHK5MUfaxTGlXovLtFy+SLwawEW6OKa0Kxbybbk28afqg4sx\nuys1qpWWtv1egF3J0eX51Q1UjVFujNHrFZuYfV1Nw1OFVPJFAlYebWiyT5l2cWxTL2AmX/ykotQy\nI0DiteCx+5qfZK8qM5oSJy5KMZrkUzbaN41P35YLqtWNLv1eppKjCtWIDt+thLpEV9IuIJ18UfpF\nuJIz7bJl6/ja4gQsS1gb0jASLwNiz1KTqJKnmNJVEi6N9btf3V8pM+pw6e3SNdmbbh9YTb1M/V7K\n6ytWOdr0epnmevmMlrAZK+EzUDUVsUqMJaRdIinkC6D0i3DHJe0anlqrfS/FSqiBZQnjp5LTLoDE\nawmeenHhAuKWz0I3xJbpmnRxTI31dbOzYjTPi1sF2d6u6bhUJUeb1MtmEYKIbeplmmLv0udVArFL\njCWkXSIp5YvSL6KOFGlX3R9JdVPsuwCJl4QoXCmSLpcNsXVzu2KPf+DoRkuETMsXUW2IXTetvilM\n+zgC9Q32HFN/mird0832ElFtoO06WiIWJaReXSoxqkglXwClX0Q9OXq7VPjK168+9OORjyQ+JF4S\nf/yLr2+8tGgid4mx6Y24Y6FKsXJi02ivE1Dd7DPlZR1GS4QMUwXCm+xDR0p0qaG+jtTyJQsYSRiR\nGtP7lzfZdzX5IvFqIbbS9eTkYHFqIz4T61XUpVepCXkMsQaqysQapupL6EiJ2Hsxlpp2iYjylVLA\nKAXLT9+eZ5v3rY98tSHtAki8lHzgjXlXOPr0d+mQZWvr2Pri/CZRlRmT3I8h2YqReskN9nK5McYG\n3jakTmVtGuybJpZ0tYnhueNJ06/F/ZCAZYc/38RNbMZLtBESLw9Gh9PFyZa6LYJs+7ts2Dq2vjjx\nr3Pgug1SbDZvuVX7vVipl+k+dA32o2mz0uu6utG1wT53n1fMFVFtKDOqyCFfwHIKRmXINDz15LSX\n0rV525rVe5k32/OTjrakXQCJVy2iZPHT1rHB0nRxWwHzGZwqwrcF0lGXaqVMvUIfWx26FY07h26P\nqS71ck3FznzjUfPtzaXr3AvtSmtnX2L3PDYtuZymhqnGTLvaUGZUkUu+FvdHvWDRKfn5y/W6spUv\nsfTY9t4vEi8NH3jjXQuh4qIlCpd4fggxy4yAPt2KmXqZjtk4MuOa+bFe+MqBdpTE2RccxWi6fP06\n6ZHhqVedXKnSMRshG02nOPuC1WNSSdfu9QOce9HyY93dd3stpJbdEomZdnUBXnpM1felvE/qBYsC\nf866mHbZzPIC3P+A4gJmm4KVComXgRhiZYNuU+yS4CMltjcG2N4YKOXLOCpjLd1jlFMvkySZ5KtO\nrkxlRlkKZ+cdaKUrFVsnBk5T7ENXNnJylhtjpV1tLTOqyJ1+Le5XU4qkRMxMG6Tr9ghJsK18+fxB\nJUpYm8qMAImXkQ/91F21Kc3etWmtVLiWhUL6u0xN0VvH1r3Kjapj0ckXkLYMVpd6meSII8qXeBK/\nt3SfCiHbOTxYuW8x7dL1dXHpktMuHXWvvxBirWzMVW5MkXa1tcyoIvWqx9r7FyRMV5bsu5Dxxy4+\nP13F9b3VpzT7uU0fQOlsrw0wEj78xATM5UNRlQbFLjPeMdyI0sc1vnRg/aG8d2W6NMbg7PrqcM+l\ny1/zX9149gVHrVcNjr583Tht3rXZ3iXt0vV1uUoXJ2Va2Dai9nZtH8dkdLWT8jW5cBVPXTqMkloE\nHY9BLiZfuGy8bhs2jnahDSlXbHjJcbhtHsLK39fjuXwNz9i3kbzz3ff6H2BDUOJVwwfeeBe21waL\nD7+9a9PFCQj/UMxdZqxLvUzN+/IEe9djz1VutEm9bNGlXYvvz6WLp12+0rW7P7VurO8jsfZj7AtN\n9H65okrITElZm+mjdHFs+72AmwLW9fSLxMsBLmBcIGxEImeZ0YW6ZEzeOsh0THJyd3Z9EKXceO6F\nR1ZKdi5N9rGm1Ysix6VLvM8Y0qUidpnRdaSE6yyvErYPIpZpuvzoS1dKluIxtlW6JhfCeyFd5Yv3\nfdUJWBvTLoBKjVZ84I134Yf+9XuXznNJb3Rlxqaa6reOrRs/VM8cXcfu/o2VkuP2kQFGl6dL29Bs\nb7g1c6dk5/AAZ9dmx7t5y60Yf+1LtSVHEzpx49Klaqj3lS5d2hUrJdw8OYi256aK4eYGJuN27pAw\nuXTYqXKjjFx+5DRdhnTBp2TZZKlSFMK2Chcwe43EEnbbsiNHLj8CbiXIkiHxSogu9Ynd2+XLk5MD\n7bBMLl8qxpJ8Aau9XsDs8btMWD/3og1cuL46UmI0PVjZdmc0nS7N9TrzjUex+9X9aPLFpUtOu2Tp\nEtMuF+mqE67YaVdK6WozvM8rNxPDh1kqCRQ3O5YljNMmGePoxKYpIWt7wpUa/n5zFrCnDxcJ2PDM\n0damXQCJlzWq1MsEly7diIWmR0jUpV4cZep1fbokXzz1EuWrrsnelnMvPLKywTRvstfJl4iPfOmk\nS0YuMYqESBcndk9cVzY8T0GO1EuULd2HzmR0dUXKUhyXKGGL+xZkrI0CJqMSn8kXLi+lUbEkTC55\nknSp4a/lyaVDp/QLWF5Y82CLpQsg8UqCSbpMaVdpqYSx5Cj1C+lKjq6ply0m+do53F+kXoBavlxm\ndsl9XWKJ0TSZ3le6Uo6QIFZJnXrZCJfu+6KIpRZDORHjdEHCOKIQiRLmK2BdKSnmZiFgjulXV6Dm\negdsNs+uS7oAc9qVO5Woa7LXrXLcPqLuGRLFUvUcbK8NlsTi7EsGS83l5160oRwwqkqVbiZOq8ch\nJ1RcpPjMrs1bbjWe5NvRlRgBdV9XSNIF+KddTfYOtpnh9nFj+c+HyaXDm9K0fdzrw0W8nnh7qZE3\n425TY74tvlsgyZft+kyu20+tRWmwVyELmA0PfvCnkxxLTijxSoBOulKnXU9ODpy2BrItN5pQlRxl\nQlMvXm5U9XqpZnup+r0A/zETpr4ukRjlRUq7miPWXC+XhMuWhXxlTMAAdWN+lxIwQJ+C2V6nL0wu\nXFWWqEMZnlrzKj22GRIvR0y9XhevTmulq6S0i2NqsjehKjnK+PZ67UpN9jxVujCdlQh9mu1dMU2n\nl0uMMaXLZicEl30aSythl4xYdjSJjaoPK4VwqY4PaE7AgO6WIYF+CpUNMVc3qhDlC9C/f7qQdgFU\naozCxavTIOmy+WCU52rpcE2wYm6eDZi3EhKRkx253Aio9zTkoiOmTbqSI5cmVWO8ip3Dg6WTKF3i\nBti20rW7P10MRq3r6eJbT6UaMquS+vGlA20pOcYOCLEZP52pzCaU9ji8zKcrH4aWFH2OsYkSJLBa\nhiT6QcqSIzCTL5/SYxsh8fJA7PWy6ekC6lcx2qRdpqnyALxSK8BuD0db8dMhjtaQ5UIlJTnkSxYt\nfnl+4pjmdZmkS/fYOD47ILimXSHElvIQcs/vUUkNlx1ZrlTn5TzOJgUM6G4PGKEmpXwBy31fooB1\nJe0CAsWLMTZgjH2cMbYz/1f5m5ox9jeMsc/OT48L559mjP3R/PrvZ4w9L+R4cvKBN95lJV11zc4x\n067FfQb2bcnUCV/dY7AVBXmCewr5MomWagK+aV6Xj3SptpyKlXJRY31cdKJVItSET+SAl5ZzyFeX\n06/QxOtNAD5ZVdVZAJ+cf63i/6uq6mXz0w8I5/8SgHfMr38DwD2Bx5OVs+sDY3mxruTGhSVG2sXx\nSb1CRE137K5DYrmkxJAv3bZCqpOJumZ68fg4ptKiLFuuwuWTdlF/V78QRVEujSa9XxKw3pCzr48L\nWJfSLiBcvO4E8Mj8/48AeKXtFRljDMArAHzI5/ol8Nh9q+MlROHa3hjU9nWlaqh3lSnfMqUK3WOW\ny41yn5eNfMkCppIv4OaejqoyYR3i9Ux9XaJ0if1cKkI3VQ/Z+9L1NVZifxcnV59XF1ClYKkljAuY\nuEE3SVg3SZ16dZlQ8bq1qqorADD/95jmcrcwxp5gjH2GMcblagPAYVVVX59/fQlAq5eU2AgX4CZd\nPr1VLhJlK2hnjq4H9Xlpk0GNfMmce9GGNv0yydfsfLO0cNGShauumZ5ju/1PqHSFlLRdKam/i9OV\nfdpyI5dL5YUCqWSMUrDukjP1evB3/3m2+8pF7TgJxtgnAKgaHN7scD/DqqqeZoxtAfgUY+xzAL6s\nuFxlOI57AdwLAMPh0OGu0/LYfXfhR97+XqtxEYBf0mVbZpTZu3bD6gM0Rtplu3+jyPbaAKPDVSk6\n+5IBdvanOHNU3XR/4SsHynETqllf4oR7E+JAVJG6FYw66RKF0ke4xITLt5neVGY0rWgkuouqV03e\npij2eIoubNJNqEk124vTRekCLMSrqqrv1n2PMfYlxtiJqqquMMZOALimuY2n5//uMcY+DeBbAfxb\nAGuMsefOU69TAJ42HMdDAB4CgPPnz2sFrQkeu+8ufNv//svRpSskYbpjuFFbMtq7diOKdIVsIbS9\nNsDo2hRbx1afk10L+QKwEDDdrC+dVJkQ0zMX6QoRLrmcaCtcpn463RiJ2EzGB9g6nmGe1JmjGO/u\nL+3bRoQhyljK+WB1m3STiLWL1LO9ukzoANXHAdwN4G3zfz8iX2C+0vGrVVU9yxg7AuDvA3h7VVUV\nY+wPALwKwPt0128LtisXXaUrNJXQpV6xVz7aYBqmuifJ19mXDLDzzNQoXwCc0q86VLIFqFcvmqTL\nRbh8ZUtGfv3VNdVT2kWoyDWgVU5JujwZn/Cjq2kXEC5ebwPwAcbYPQAmAH4QABhj5wH8ZFVVPwHg\n7wD4DcbY32LWU/a2qqr+fH79nwXwPsbYWwD8FwDvCjyexnj0/rvwmrcsT7T3ES4gnnTx1EuWLy5d\nMRvqQzCVHAFgZy45IemX9r4HG1rhAtxLizbSFUu26vBJu0purBcZP31IqVdCVAIGpJuS34etibpK\n6nJjFwkSr6qqDgB8l+L8JwD8xPz//wnAt2iuvwfg5SHHUCK+KxbFD8VYiQSXqz3pA7Up6Tq7PsCO\n496NoemXDp6KqS4jNtCHSpdqRWIs2XId2wHUv7ZcG+sn47yyNjxzFJPd/foLEsHkKkMu7k8SMJKv\nsklVbuxy2gXQXo1RefT+u/A//9Qve42IiJVy6WhKtOoa7Jcuq+n1AurlCxAETJAmUcJWLq9Jt+Tb\nA/xKizEa5E3oFnToyowpG+pz9HfJUOqVF1nCUu4ROTx3nOSrBVCPlx8kXpEpUbpisLvv3hOma7AH\nNE32h1Nr+eKYEjBgWcJEuJCZZAtYnilmI12pZQtYTrl0vYW5Nlz3TbsmF80l4Dr4aInxPPlqSsBc\n54q5Hmepcsk3Eyf5ImKXGbuedgEAq6qiFghacf78+eqJJ55o+jC0vO7n31t/IaQpLaZid/8GNk/p\n0yO+qlEeKcHFS069dm6oy42810snX0u38Yw0nV6ThMlc+MpqGVGmTrgAvXSl3EvRZmzJ+PLUeVNs\nYNbf5VNm9Em7JhevY/NEnA/TSWb5EmXLdbaYWCLVHa+tzJUgZHw7l5QCxgd1knyVx1OXDqOKVxuk\nizH2J1VVnQ+5DUq8EvDwA3fVylcbUi6OTdqlGikBmFMv5e1YJF8cUYjkJAzQi5hKtuTryrcP1Kdc\nqTevtp0VpyJFmTHXCIk6eM9X6nQoRLhU1xtLEuZ6+2Opz60JEePJ1+TSYdK+L0q+yiO2dPUJEq+M\ntCnhkjGlXb7I5UaOi3xxZEmqEzEb0eLoUi7XsqJLI7ycELoM6M1VZiyJlPIVQ7hU8Nvix+162+Ll\n+W0A+QWM5IuIQRvSrliQeCVCTL3aLFx1JUZb5CZ700wv4KbgjK6pL+OShnF2JNnSiRawupWRb8pl\n048lMzpQb7BuO6B35fyeTKlPIV9cZlJuVxTjtmWJa1K+gHSzv0i+ukmfpAsg8UrKww/che/4sQd7\n8aFnwrXcuHRdYcaXKD+ykIkixqVJlrMQ0eLUpVw+wmS6PH/ebG/DN+1ynd9VSplRJqZ85ZCu2OQq\nuyrvO8PwVZIvoguQeCWm79JVh67cKKKSoCUJm5clZeTzZBGzlS1+nBxZuGTZirlZte1t1U2qt6HE\njbF9EOUDCCu9tUm6ODEfv9f9SwKWSr6IbtC3tAsg8UrOu97+Wtxz33uaPowgxpcOkvR41ZUbbbGZ\nFq+Ss7rr1U2Y9ykjpsA0sNdmX8a2TKt3IbT05tNzVRLy4weaFbDFeREljFKv5ojVWN9H6QJIvLLQ\nZvk6c3Tda4aXCzapVyg+W/kA9eXEJoULsNslwSZ17UraJeMz5d51NlfJlCZgsRIwSr2INkPiRVhR\nYurFRUmUNpU8cVRy57Jvoo9whZQA5ZloOnTS1de0S4VKpkwC0ua0S4VpjEW2Y8iw+pFoD31NuwAS\nr2y0IfUKTba2jwwwujy1FgaOaf9Gk0jpLqOTpx2PPRNd+7dUouXT8D66Pl26LfE5ddl8vc9pF0cl\nUWICBCzP0eqadMk0mYKRfBEEiVdWSpUvUbhSpFqcun0bdZIVazCp76ytuinxS5eNNENLvp2R4/3Y\njJDwTbtyb4qdAt0MrK5Ll4goYFnvl+Sr9/Q57QJIvLKj+7BrahNrLl0phQuoHykhShEvPcYQLpeh\npRyXVCvXsNJU9+ObdoWMkoi5XVAM+iRbKoZnjmK8u5+97Aik32ybKI++SxdA4pWdT7zvn+LeNzyy\ndN7etRtLQpZDwnIJl8j2xgCjmtQLCBOuGHO0dDQhXD5QbxfRJij56g8kXTNIvBrgoQfvXpIvMXUQ\nJSyVgDUhXSJ1JUeX25GJvcowtmyppCjmz8FlD1CftKvUwalEGE2kXsDNsiNB9AkSr8LYOraOvWvp\nxjc0LV285OgiX6ZyYapxDr7CZZM2yVK0K13H5Wejur9UvV2xGJ4+gnFh5UaiffCREjTLqx1Q2nUT\nEq+GkFMvDpeuFGlX09LFsd1CKOe8LN/ViLL4+OxUUCdiIpunNqLcp2/aFYPJxetRbofoBjz1onJj\nO/AZnkrStQyJV4Po5Ctlj1fT0sWp6/fi0uUjXL6zs3yTrdjbQulub3f/RvCG16ErGWOVGSntKo+m\nyo1Ee3jqUneGCzcJiVfDiPK1d+1GY6sbm0IuOfoIV6zZWbX3k1C2bAi9Ty5drmlXbOkiiFh0qdwo\nSk2Jj4cfH6Vd4ZB4FULKvq5SEUuOLsKVS7QW99ewcMWEpIsw0XSTfV/LjaLUlLwVEklXHEi8CuCh\nB+8ucrBqLmykK8coB11jfNtlC/ArMZJ09RefjcWbpM0bZvsmSTmhvq64kHgVQuqp9qk3uvYl57BS\nnxWHXcIl7SLpag6bSfIph776bCzeJKWnRDJyn5RKaEoSSerrig+JV48opbHeFi5dPsKVM72KMZ6h\nxN4+kq68cNmxSZrGNWIUQ8zalnqVikpcTOlRSSJJfV1pIPEqiFL3cnTBd6NsEV/hijFmwQXfZnUZ\neecCoFkRoyGpeRHTJVvRqbucScxspIynXm2Rr9Ka7G1SLZvbaPLxkHSlg8SrMLogX774CFdu2eLE\nki7dbexFFLGmB6bK0ADVm7ikXC7obm/89KGyjKiSsbbKl0wqeTGV4EL7tfhj4fchPgbV/cZ4jK7J\nnAqSLjtIvAqkb/Ll2sfV5CrDmMJlInQbKVG2fHq7iLT4pFwxUN2XTsZM10lF6L6NKlFIVbZL3Qwv\n3r78GOTvydJUJ2o290mkg1VV1fQxOHP+/PnqiSeeaPowkhNLvnJPrB9dtys1ughXE7KlS4pSS5cO\neeSIKGGqYy11L0Y+ub6viVeqlCs2TSRdfR4pEQuVaOYQqr6kXYyxP6mq6nzIbVDi1RNKa6y3LSvm\nEq7SJEuFfCxyObKkY62DpKv8x9+GYyRWaSK16ot0xYLEq2BilBxTjZEYXV8eYmrbl5VbuFz6m9ok\nLkCa4x1ubmCPmuuj0ybhIggXSLrcIfEqHF/5EoUrRtolixaARTlxfHm6+D4XqrFiZaONdIUKlyxa\nbZOprtPHDbJJuoiuQtLlB4lXC3CVL9eeLpVUbR8ZrJyv69tSCZgOnXSFCBfJVrvoU5mRpMud0AZ7\ngigdEq+WYCNfIU30slT5zOISBUxGdd7ie3PpChEukq247F09pHJjJEi67OF7NhLlQ2mXPyReHSH2\nysWQAaguJUZX6SLZSs9wcyP6WIk+rmScNLDZdBfo+4bZbYCkKwwSrxbBUy9Vw3xpqxZlZOlyKS22\nUbZEcRlulv2zyUXfpIsIo20lx7Ydry8kXeGQeLWMd739tXjdz7+36cOwxlRibINwhSQ/W8fXsHe1\nvRvMxiw38mn1QH8EjNIuf9pQcpwoBpOqztPRRkkj6YoDiVcLefiBu1olX6q0yyRdTQmXTrJC5GPr\n+Br2xgetS71SlBuHp49gcvE6xldmH05dFTAqMXaHOpEabvvNzJqMri5uuy0CRtIVDxKvltI2+eLI\neyvKxN6Sx1UeUjWUT1ooXykYnj4CAFYCNr5y2Do5oxJjWbgkUCp8xcrldnmy1xYBI8KhLYNaTqh8\n2W7v48v48nQp8dKlXbFSLlm0SlmZJ5Yc2yJg/LlM+RyKc724ZHEhk2mDhDWddjVRnkslJ/JjqRMT\nlWSlOrbYiI+1RAGjtOsmMbYMIvHqACHylVK8ZOkCzOLlK1ylypaKtglYjr0bF/c1lzCeiqm+V7J8\nNSldTX5w61Kl2NKje4yLkl1LJMtEiQJG0rUM7dVIAGhv2ZHjsq0Pp02yJcKPsy1N9zm3EFIJl/i9\nPk69r6OED2rV/U4uHd4soUUSIn47Yn9UzNsvAfkxNi1fJF1pIPHqMXVT5nNim3aJwtUW2VLRpqb7\npvdvbINw5U67ShAuE/yYuIDFlKMuiZYOUcAW52X+OZN0pYPEqyP4pl4p+7ti0hXhajNNTLNvQ4kx\nF6XLloqFgEVOv/qCKuXL8bMn6UrLNzR9AEQ8Hn7grqYPYYGqv0vHHcMN7F1bHQors3V8jaSrIXgy\n10SJtHTpSr2ScTK6urTyrS3SJSIKWOnzuUpkuH38poRdOgxerWmCpCs9lHh1jLb3e6mIPU+K8CPF\nbC8TbSgxclKUGduYcJkQy4+EH6oxFMrLeb5eSLryQOLVQbooX7lGGpgavJPcd0v6vDi83wvIU/It\nPe1KRddnO8Xu+0rF+OmbkljaUFzT8+eTKv67//JAyOEQDpB4dZQm5cu0TVBT1KUnixlSFilLLDlr\n65ZCPPnix55CwNqUdsWm69I1PLVWZOolSpbI8MxRTHb3i5YwGVepffCDP53oSAgVJF4dpkvJl2tj\nt/zBbZuc1F1ufOXQOG+qL/CULoWA9bmhvuvSJdJE6qWTK87wzNHa82UJA8oXMRMkXfkh8eo4TcjX\n5smBNvXaPLWB3Zq9GmVceotUk9BjIk5XJwFbFbBY8tUW6Yo5RqJP0pUr9ZIFSSdWLqhuY6xYYNEG\nGSPpagYSrx7QpeSrDj5oM/UHNwnYMmL5MUS++lxiBPohXSKpUi9RuGLIVh02MlaaiJF0NQeNk+gJ\nuUdNbJ4cOA1otRkpUWI/1OaJtYWE+UjD1vG1zqzajLVIoC1pV0wmo6u9k65Uj5dL1/DM0SzSpYPf\nPz+Nnz5cORH9hMSrR5Q058uV0lf+cQHre2ID+AtyX5+7vs+1ivX4RZlpUrh0yCIGoDERo7SrWUi8\neoYsXyWuQGw7PgLR99TLp6F+sruffHgpkZZYqVcpKZcLdSKWCpKu5iHxQtJmFgAAGSpJREFU6iEl\nJ182E+xLxqfs2MVp/D6pl2+Jse3y1YZ5VqkJSb1KTrlc0ElYTEi6yoDEq6dw+Sppr8Y7hua0ZLi5\nUWSfl4xvz1dfUy+vhHC+mpA3LDeVfvHeneDb2T5e5GyrHMRIvdouXTIpesNIusqBVjX2mP/wa6/H\na97SzdWO4yuHjTZpb55Yw/iK/S/Itg5TNeGywjHkZ8Xla/z0ISa7+639EB5uH+9lkz2nLdPsc2M7\nvkLH4//xzTEPh4gAJV4959H705YddSsbd/f1JcXQ1Y0ljXVwLTn2NfWKgZh+5SZWSaivyZevbI6f\nPmytaIcg94fpTiRdZULiRSSTL10Zc/OU/kPZptxoi0vilALvnqWOyFcT8PJjztJj7J6cvspXDsZX\nDq1OXeCd77636UMgNJB4EQDq5Wt0MF2cmsam16uk1MsFXpoj+Qoj97DK2E3RfZUvlyZ71+eYC9Xw\n9JHaU9sFjKSrbILEizE2YIx9nDG2M/93ZR8Yxth3MsY+K5y+xhh75fx7DzPGLgrfe1nI8RBhqORL\nlK2tE/ka8WOtbmzjL88urnKMScxtemKja4r2uq0eypdrj5drmdH2DzJ+uTYKGElX+YQmXm8C8Mmq\nqs4C+OT86yWqqvqDqqpeVlXVywC8AsBXAfxfwkX+Jf9+VVWfDTweIhBRvkThyilddeVGTldTL6Bb\n/V4xcSkf8pJjU8RIwbh88RMxwzftcoGnX77XbwKSrnYQKl53Anhk/v9HALyy5vKvAvD7VVV9NfB+\niYSI8pVKuDZPbRgb7OtoU69XCCRfq5SadumQBcz5+tvHF0kQyddNUqVduuuVnn6RdLWHUPG6taqq\nKwAw//dYzeVfDeB3pPPeyhj7U8bYOxhjzw88HiISj95/l1a6cvR52ezdCHQ/9QJIvjitH5QaIF8A\nSL48GV85DP49UHr6RdLVLmrFizH2CcbY5xWnO13uiDF2AsC3APiYcPbPAXgpgL8HYADgZw3Xv5cx\n9gRj7In9/Xb/Am4Lj913Fx67b7nvi8uYbaO962bZLpS+f2OMX9Bbx9eo7Iib0tW2tEsmdPQBzbly\nE9fYklSifJF0tY9a8aqq6rurqvrvFaePAPjSXKi4WF0z3NQPAfhwVVV/Ldz2lWrGswB+G8DLDcfx\nUFVV56uqOn/0aP/mtjSJSr5EAQuhrtwYI/UCmvtFGTNx67t8tV26YtHHpnsZF4GNnXqXlKKTdLWT\n0FLj4wDunv//bgAfMVz2hyGVGQVpY5j1h30+8HiIRMjyBSBYvkzzvAC7Jnub1KvJX5Q+2+GoaNtK\nxxIkMeVGwyHE2maoawxPrQXt2SiT8o8tPnKiKd757ntJulpMqHi9DcD3MMZ2AHzP/Gswxs4zxn6T\nX4gxtgngdgD/t3T99zLGPgfgcwCOAHhL4PEQCUkhX0Cc1MuG3L8om9yyqASalMWubJxMhJH6j64m\n5IuEq/0E7dVYVdUBgO9SnP8EgJ8Qvh4DOKm43CtC7p/Iz2P33YUfefvy/o5bJwbYuzLr+dreWG3I\n3zw5wOjyFNtHFN87tYHxJX06csdwA09OzOnJcHMDe+MD4wf98PSRaOlTE+xdPSy+py01XKZ0JUcx\nRWqDcI2fPqTyaYvhv1NC9oV1Fbd///H7vO6HKAvaJJtwhidfooDVyZeJzVMb2L10gDNHV+bvApiv\ncJwcYOuY+vsuNL15dl+wkWGn25uL1GR3X1uma4NscYZnjrZ+lSahly9boXJJ5H71oR93Pj6iTEi8\nCG/k9IvLlwpT6sXZ3b+hlS9gVnLUyVeJqVfTK59sSrQxZDYnbZIrIj4lbootypd8PrDa5+lT/iTp\n6hYkXkQQqtKjDzFKjsCsJFdSI3pTjf1cuuoWKOwZntO2SRnRDSajq60bmyG+z7lo8X99kjAOCVc3\nIfEigpHly6fXixOaepWwmg5oNu2ylS7TZZ6cHCwlZiRhRA6Gp9ZaMyrDlJ7HaGcg6eouoasaCQLA\nzb4vmy2GdANV+XgJ3SpH2z0c68glRU2OsQh9ru4YbixOQLyVpcQM6u/yw3X/zRStBZOL15fSLNUp\nFJKubkPiRURDnHSvGy+xeXI+fqJGvkyESEAOGSoh7YoJyVcaaEVjWmIuouGyNbl4PUiwNk+s1cog\nSVf3IfEiovOZd7ze+P3Nk4ParYRSp16paXPaZbpNkq9wJrv7QdIVc8hoW8mVGKrSrVT86kM/TtLV\nE0i8iCTUyReg38exruQIlCsAKdIu1xleNosQfGiL9JZMLGEYnupvWuYqrb7lxlzCBVDK1TdIvIhk\nPHr/XXj0/tVp9yJ18qWiVAHg0tVk2pW6Cf6O4Uax0tsWKO2Kg43EcmFykS855UoNSVf/IPEiklMn\nX4C+56tuOyEfUu6zVtIGuiZ2928EPbckX+5Q2hUPF3l1ka/cKRdJVz8h8SKyYJIv3nC/cr5Fo30I\nMeVrfOWwNdIlwgXMRcRcEse9q+0YDZCL0LSrL9Jlk+y5rHDkIiU2yatO/LIp2TyxRsLVc2iOF5EN\nLl+veYt64OrounrGV91sLx9i7LPGaXpCvQ9njq5jd//GitzuzofY1j3fNts4lTRXrWlC064+lRhd\nZ3lNdvetp9mXsF0YbXJNUOJFZEeVfjWResVIqFL3deVOjDZPbcz2zrRMwKjkaE/o+Ii+pF3AXL4s\nU6+28M5330vSRQAg8SIaQld6NI2YsGG4ueEsKz6J1fjKYTbpclnRGAublaWlLnLoGn0qMcrYJn2l\nD6Ql4SJESLyIxpBXPepSLx0x0hYuTbbyJQtXF6WLYyNfRD0hc7v6VGKUsZVN/tyWKl8kXYQMiRfR\nOHL6pUq95A//mGlLnXxx2eIN9CmFCyhDujg22ziZBNgngewSITLApauvaRfgVnLkzfalCBiVFgkd\n1FxPFIHYeD++vCxem6c2ML6UtklbbLbXfT8HOaSLS5Rt/xx//lMscugyXAB80q6Y0jW5ECc1G547\nHuV2fJiMrmK4XX//m7etYfz0oVPDfQpIuAgTJF5EUTx6/1143c+rVz26sHf1EFvH3T60mh4HUaJ0\ncRbJl+WqR2KG85R1Id0JkS5Ztm5PJHA5ZMx1laMoXwCiC5gqUeP3QcJF2EDiRRTHww/M0i9fAWvj\nGIOc5cWQlaKUftnh09cVK+XighRDtkRUtyfLWCoR4yVHm9QLuCm8IQJmKlmKP9vx07P3LkkXYQuJ\nF1EsDz9Qn37tXbuRfJuclIj9TzGka+/ajeSrDeXSr2mm12R84Jw8th2fHqMY0pVKuEyI9/XUpcMl\nEUshYS7yBagFjKMSMfkyNvL8+H98s/XxEARA4kUUDk+/vuPHHlz53h3DDeOG0D7lxhzIzeYlNNET\ncfDp62qrdMnoJCyWgLmWHEXkn4dKxHSXNfHgB3/a63iIfkPiRbSCT//2G3DPfe+xvnxp5cYcstXW\nYabD00cwvni9iKniITQhXSUIlwp+PFzAosoXf84cki+Z0MGrJFxECCReRGt419tfCwBOAtY0sUuJ\n2vuZS5epzKjaIgi4Ob5DtV1TlGMrNHmMSW7pEkt6pUmXyO2n1qKnXzz5ci07xoCEi4gBiRfROmQB\nK7HPK1ezvI1wmfDdKWDz1AZ2Lx0sGux1fV6lJY8psZWuGMJVsmzJpEi/mpAvki4iFiReRGt519tf\ni3vue4+2z2u4uYG9+Yd+zsSlLdLF4TsGjC6nTb66Ru4m+jZKl4iYfsWSLwBRSo8mSLiI2JB4Ea2G\np1/3vuER5fd54pK63JW7YT6GdMlp1+bJAcaXpxhdn5J8afBZ9RZjNlfbpYvDjz9631eC9IuEi0gF\niRfRCR568G4AagET5QuIl341tToxVtIFrO6PKcoXQOmXj2gtrtuR1YopuP3UWjL5AsLTL5IuIiUk\nXkSneOjBu7XyBSBK+pWrYV553x7S5brJNZexPguYKFxNbfnTVenicPkC4jXdAwgSMBIuIgckXkTn\nSJF+NT17yzfl8t0iCFhOw0bC/pkpJKyEkRIh6dbS7fRgtWIsYvd9AWoB0152LmYkXEROSLyIzqIT\nMDn9sqWpQaehKVfIFkGL2xBSMPF2xZWNIUwuXg++jaXb82h8D53tRMLlRwr5Aux+DiRcRBOQeBGd\np07ASkUciOrTz2USLt8xEvy6rqmXTXk3RtrlM08rBr7S1fVyoi2p5MvEg7/7z7PcD0HIkHgRvcFU\ngiyNkAZ6254uubEeAEYH856uDbVY8eZ7V1KP82hauACSrlByyRcJF9E0JF5E7yhZwEJTrpCeLs7W\niQFGV6Za+dJh2iw7FaFN8N73S8KVhBST7jkkXEQpkHgRvUW3ArIpog1EjdDTBczSL5V8bZ4cYHR5\nVm6M0efl09/VlHAB/R6CmgN50j0QJmAkXERpkHgRvabp9Eve2DpEunR7MfqwdWKAvSv+fWCuuPR3\nNVVWBEi6chIqYCRcRKmQeBEEbgoYkF7CYsoWx2VWl0tjvS714reTe75XG6WrzysWYyA+ZzYCRsJF\nlA6JF0FIyCmYLEoxiCFbHJ++LlVjvYwp9fJtso8BlRb7i6kHjISLaAskXgShgQvYPfe9p+EjqcdW\nuurSru2NWWP91omZmNk02of0ebn0d01291sjXSRc6RBLkAAJF9E+SLwIoga+EXeJAubT12WTdvni\ns7KxyWn1NpB0lcm/++L/2fQhEIQXJF4EYUlpAua6B6Pv0FTf8RIxaTLtcrrOhaskXAn55U++uelD\nIIhgSLwIwpESBMx3XlfKtMsV2zKjz/Y/ofiUGEm60kHCRXQJEi+C8IQLGJBXwnykyzXt2hP6vFJi\nW2ZsYjiqq3QR8SHhIroIiRdBRCB3CuYzr8s27dreGCy2DgJmEtZUmTF32hUiXZR2xYFki+g6JF4E\nEZHUAuba1wWEbYitw3aUxGR84H0fTc3s8hkbQdIVDgkX0RdIvAgiASnKkCElRp/eLj7DS5d22Q5P\nDdkgO3eJMWQ4KuEHCRfRN0i8CCIxMSUsZYlRRC43xmZy8bqxv6uJEiONjcgHyRbRZ0i8CCIjvqVI\nn3ldMUqMTY6QyJF2+YyMECHpsodkiyBmkHgRRAO4pGA+fV2ckPERTUpXDkK3AmqrdE2+cLn2MsOX\nnoxyXyRbBLEKiRdBNIyNhPmUGNtKjmGpMfZfbBuicN1+h16qn3pyurisr4CRcBGEHhIvgigIWcJ8\nSoyEHT7SxWlL2mUrWyL8clzAbOWLZIsg7CDxIohCESXsdT//3gaPxMz4kv/IiCYI6etqQ9ollxJt\nhUvm9jsGtekXyRZBuEPiRRAt4OEH7lr8v0QJO3N0tin2k5N2SFgX0y6fdKsOMf0CSLQIIgYkXgTR\nMkqXsK1j697XTT1GInQVY6lw6YolXCLv/E9viX6bBNFnSLwIosWIEgbkETHbqfU66mZ4pWqsD2mo\nB8pfyRhTuki2CCIdJF4E0SFkEXvNW9KIGJ9a37b+rpASY6nYjIeog0SLIPJB4kUQHebR++OK2Pjy\ndGWrIN7fVTKhJcbSm+pd0y4SLYJoDhIvgugRISIWWmJsitASI6fEMqNt2kWiRRDlQOJFED1GFjFA\nLWNcumw3xi6FWNJVMnLaRZJFEGVD4kUQxBK6VKwt0iWXFUOlq+Sm+o9c/tWmD4EgCEeCxIsx9oMA\nfgHA3wHw8qqqntBc7vsA/GsAzwHwm1VVvW1+/mkA7wMwAPD/AnhtVVX/LeSYCIKIiyoVA8obZSEK\nVxcTLpqhRRDdIDTx+jyA/wXAb+guwBh7DoBfAfA9AC4B+GPG2ONVVf05gF8C8I6qqt7HGPt1APcA\n+LXAYyIIIgPyCkrOvW94JPOR3CS2cOVuqie5IojuEyReVVX9BQAwxkwXezmAUVVVe/PLvg/AnYyx\nvwDwCgA/Mr/cI5ilZyReBNFiHnrwbuP3f+ZHH8p0JHGIWWYksSIIIkeP10kATwlfXwLwPwDYAHBY\nVdXXhfPtdmMlCKK1vPPd91pd7g0/+CuJjyQeJFQEQdhSK16MsU8AOK741purqvqIxX2o4rDKcL7u\nOO4FwH9jP8sY+7zFffeFIwCuN30QBUHPxzL9eT4+a3Upt+fjQv1F3snut765AunP68MOej6Woedj\nmW8KvYFa8aqq6rsD7+MSgNuFr08BeBqzH+QaY+y589SLn687jocAPAQAjLEnqqo6H3hcnYGej2Xo\n+ViGno9l6PlYhp6PZej5WIaej2UYY8pFhC58Q4wDqeGPAZxljJ1mjD0PwKsBPF5VVQXgDwC8an65\nuwHYJGgEQRAEQRCtJEi8GGP/mDF2CcD/COD3GGMfm59/G2PsowAwT7N+BsDHAPwFgA9UVfVn85v4\nWQD/jDE2wqzn610hx0MQBEEQBFEyoasaPwzgw4rznwbw/cLXHwXwUcXl9jBb9ehKu5ZFpYeej2Xo\n+ViGno9l6PlYhp6PZej5WIaej2WCnw82q/gRBEEQBEEQqcnR40UQBEEQBEGgYPFijP0gY+zPGGN/\nyxjTrqhgjH0fY+yLjLERY+xNwvmnGWN/xBjbYYy9f97Y31oYYwPG2Mfnj+fjjLF1xWW+kzH2WeH0\nNcbYK+ffe5gxdlH43svyP4p42Dwf88v9jfCYHxfO7+Pr42WMsT+cv6/+lDH2T4Tvtf71oftdIHz/\n+fOf9Wj+s98Uvvdz8/O/yBj73pzHnQqL5+OfMcb+fP5a+CRj7A7he8r3TZuxeD5exxjbFx73Twjf\nu3v+3tphjJknBLcEi+fjHcJzcYExdih8r4uvj99ijF1jmlFVbMaD8+frTxljf1f4ntvro6qqIk+Y\n7f/4TQA+DeC85jLPAbALYAvA8wD8VwDfPP/eBwC8ev7/XwfwU00/psDn4+0A3jT//5sA/FLN5QcA\npgC+cf71wwBe1fTjyP18APhLzfm9e30AOAfg7Pz/twG4AmCtC68P0+8C4TL/G4Bfn///1QDeP///\nN88v/3wAp+e385ymH1OG5+M7hd8PP8Wfj/nXyvdNW0+Wz8frALxTcd0BgL35v+vz/683/ZhSPx/S\n5V8P4Le6+vqYP6Z/AODvAvi85vvfD+D3MZtB+m0A/sj39VFs4lVV1V9UVfXFmosttiOqZptr8+2I\nGGbbEX1ofrlHALwy3dFm4U7MHgdg93heBeD3q6r6atKjag7X52NBX18fVVVdqKpqZ/7/pwFcA3A0\n2xGmRfm7QLqM+Bx9CMB3zV8LdwJ4X1VVz1ZVdRHACH6Lfkqi9vmoquoPhN8Pn8FslmJXsXl96Phe\nAB+vqmpaVdUNAB8H8H2JjjMXrs/HDwP4nSxH1hBVVf0/mIUVOu4E8O5qxmcwm0N6Ah6vj2LFyxLV\ndkQn0c3tiG6tquoKAMz/PVZz+Vdj9Y3y1nlE+g7G2PNTHGRGbJ+PWxhjTzDGPsPLrqDXBxhjL8fs\nL91d4ew2vz50vwuUl5n/7J/B7LVgc9224fqY7sHsr3mO6n3TZmyfj/91/h74EGOMD/7u9etjXoI+\nDeBTwtlde33YoHvOnF8fOfZq1MIK2Y6oFEzPh+PtnADwLZjNTuP8HICrmH3YPoTZDLV/5XekeYj0\nfAyrqnqaMbYF4FOMsc8B+LLicn17fbwHwN1VVf3t/OzWvT4kbN7znfp9UYP1Y2KMvQbAeQDfLpy9\n8r6pqmpXdf2WYPN8/C6A36mq6lnG2E9ilo6+wvK6bcPlMb0awIeqqvob4byuvT5siPb7o1HxqgrZ\njqgUTM8HY+xLjLETVVVdmX9wXjPc1A8B+HBVVX8t3PaV+X+fZYz9NoB/EeWgExLj+ZiX1FBV1R5j\n7NMAvhXAv0VPXx+MsRcD+D0A98/jcn7brXt9SOh+F6guc4kx9lwAL8GstGBz3bZh9ZgYY9+Nmbh/\ne1VVz/LzNe+bNn+w1j4fVVUdCF/+GwC/JFz3O6Trfjr6EebF5TX/agA/LZ7RwdeHDbrnzPn10fZS\nY5+2I3ocs8cB1D+elXr8/MOY9ze9EkDbNxmvfT4YY+u8ZMYYOwLg7wP4876+PubvkQ9j1qfwQel7\nbX99KH8XSJcRn6NXAfjU/LXwOIBXs9mqx9MAzgL4z5mOOxW1zwdj7FsB/AaAH6iq6ppwvvJ9k+3I\n02DzfJwQvvwBzHZaAWaVg384f17WAfxDLFcT2ojN+wWMsW/CrGH8D4Xzuvj6sOFxAD86X934bQCe\nmf/B6v76aHolge4E4B9jZpLPAvgSgI/Nz78NwEeFy30/gAuY2fabhfO3MPvlOQLwQQDPb/oxBT4f\nGwA+CWBn/u9gfv55AL8pXG4TwGUA3yBd/1MAPofZB+qjAF7Y9GNK/XwA+J/mj/m/zv+9p8+vDwCv\nAfDXAD4rnF7WldeH6ncBZuXSH5j//5b5z3o0/9lvCdd98/x6XwTwj5p+LJmej0/Mf7fy18Lj8/O1\n75s2nyyej18E8Gfzx/0HAF4qXPfH56+bEYAfa/qx5Hg+5l//AoC3Sdfr6uvjdzBb6f3XmLnHPQB+\nEsBPzr/PAPzK/Pn6HIRpC66vD5pcTxAEQRAEkYm2lxoJgiAIgiBaA4kXQRAEQRBEJki8CIIgCIIg\nMkHiRRAEQRAEkQkSL4IgCIIgiEyQeBEEQRAEQWSCxIsgCIIgCCITJF4EQRAEQRCZ+P8B99EtwvI1\nty8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x194c340f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"np.random.seed(44)\n",
"conductivity = make_conductivity(V, mesh)\n",
"fig = plt.figure(figsize=(10, 10))\n",
"conductivity.set_allow_extrapolation(True)\n",
"fenics.plot(1/fenics.project(conductivity, plot_V), alpha=0.8)"
]
},
{
"cell_type": "code",
"execution_count": 298,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class PoissonSolver:\n",
" pass\n",
"\n",
"\n",
"class ForwardSolver:\n",
" def __init__(self, V):\n",
" from fenics import inner, grad, dx\n",
" \n",
" bc = fenics.DirichletBC(V, fenics.Constant(0.), 'on_boundary')\n",
" dist = \"(x[0] * x[0] + x[1] * x[1])\"\n",
" f = fenics.Expression(f\"100 / (2 * pi) * exp(-100*{dist} / 2)\",\n",
" degree=2)\n",
"\n",
" u = fenics.TrialFunction(V)\n",
" v = fenics.TestFunction(V)\n",
" self._q = fenics.Function(V)\n",
"\n",
" a = fenics.Form(self._q*inner(grad(u), grad(v))*dx)\n",
" l = fenics.Form(-f*v*fenics.dx)\n",
"\n",
" self._A = fenics.PETScMatrix()\n",
" self._b = fenics.PETScVector()\n",
" \n",
" self._assembler = fenics.SystemAssembler(a, l, bc)\n",
" self._solver = fenics.PETScKrylovSolver('gmres', 'ilu')\n",
" self._solver.set_operator(self._A)\n",
" \n",
" def solve(self, q, pressure_out):\n",
" self._q.assign(q)\n",
" self._assembler.assemble(self._A, self._b)\n",
" self._solver.solve(pressure_out.vector(), self._b)\n",
" \n",
" \n",
"class SquaredError:\n",
" def __init__(self, V, measure_coords, measurements):\n",
" from fenics import inner, grad, dx\n",
"\n",
" self._measure_coords = measure_coords\n",
" self._measure_points = [fenics.Point(m) for m in measure_coords]\n",
" self._measurements = measurements\n",
" self._V = V\n",
"\n",
" self._bc = fenics.DirichletBC(V, fenics.Constant(0.), 'on_boundary')\n",
"\n",
" lmda = fenics.TrialFunction(V)\n",
" v = fenics.TestFunction(V)\n",
"\n",
" self._q = fenics.Function(V)\n",
" lefths = self._q*inner(grad(lmda), grad(v))*dx\n",
" self._a_adj_form = fenics.Form(lefths)\n",
"\n",
" self._A_adj = fenics.PETScMatrix()\n",
" self._b_adj = fenics.Function(V).vector()\n",
"\n",
" self._lmbda = fenics.Function(V)\n",
" self._solver = fenics.PETScKrylovSolver('gmres', 'ilu')\n",
" self._solver.set_operator(self._A_adj)\n",
" self._assembler = fenics.Assembler()\n",
" \n",
" self._pressure = fenics.Function(V)\n",
" self._grad_form = fenics.Form(-inner(grad(self._pressure), grad(self._lmbda))*v*dx)\n",
" self._grad_assembler = fenics.Assembler()\n",
" \n",
" def derror_dconductivity(self, q, pressure, gradient_out):\n",
" self._pressure.assign(pressure)\n",
" self._q.assign(q)\n",
" self._assembler.assemble(self._A_adj, self._a_adj_form)\n",
" self._b_adj.zero()\n",
" \n",
" coords = self._measure_coords\n",
" diff = eval_pressure(pressure, coords) - self._measurements\n",
" errors = [(point, error) for point, error in zip(self._measure_points, diff)]\n",
" ps = fenics.PointSource(self._V, errors)\n",
" ps.apply(self._b_adj)\n",
" self._bc.apply(self._A_adj, self._b_adj)\n",
" self._solver.solve(self._lmbda.vector(), self._b_adj)\n",
" \n",
" self._grad_assembler.assemble(gradient_out.vector(), self._grad_form)\n",
" \n",
" def error(self, pressure):\n",
" coords = self._measure_coords\n",
" diff = eval_pressure(pressure, coords) - self._measurements\n",
" return np.square(diff).sum() / 2\n",
" \n",
" \n",
"def eval_pressure(pressure, coords):\n",
" n_points = len(coords)\n",
" out = np.zeros(n_points)\n",
" for i in range(n_points):\n",
" pressure.eval(out[i:i+1], coords[i])\n",
" return out"
]
},
{
"cell_type": "code",
"execution_count": 299,
"metadata": {},
"outputs": [],
"source": [
"measure_coords = np.array([\n",
" [0, 0],\n",
" [0.1, 0.2],\n",
" [0.3, -0.2],\n",
" [-0.4, -0.3],\n",
" [-0.6, 0.1],\n",
" [-.1, 0.5],\n",
" [-.1, -0.5],\n",
" [0, -0.5],\n",
" [0.5, 0.5],\n",
" [-0.25, 0.25],\n",
" [0.5, 0.1],\n",
" [-0.1, -0.1],\n",
" [-0.15, -0.1],\n",
" [0.25, -0.5],\n",
" [0.1, 0],\n",
" [-0.25, -0.75],\n",
" [0., -0.25],\n",
" [-0.3, 0],\n",
" [-0.1, 0.2],\n",
" [0.2, -0.1],\n",
" [-0.5, -0.5],\n",
" [0.3, 0.1],\n",
"])"
]
},
{
"cell_type": "code",
"execution_count": 300,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"22"
]
},
"execution_count": 300,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(measure_coords)"
]
},
{
"cell_type": "code",
"execution_count": 301,
"metadata": {},
"outputs": [],
"source": [
"pressure = fenics.Function(V)\n",
"gradient = fenics.Function(V)\n",
"\n",
"forward_solver = ForwardSolver(V)"
]
},
{
"cell_type": "code",
"execution_count": 302,
"metadata": {},
"outputs": [],
"source": [
"forward_solver.solve(conductivity, pressure)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The true transmissivity, the flow, and the points where we take measurements of\n",
"the pressure."
]
},
{
"cell_type": "code",
"execution_count": 303,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x142929278>"
]
},
"execution_count": 303,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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bCJdalHL3VnL+RmJtDVaDbPn9AZxOB6Oj0/h8ARwOicrKkoj9DjXWxOxQH7W2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\nv6t9grfNh6j/9X3qeremzceqLKr1HsTbX0GqvUeo4w3kilXCr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MjOSMiOWVRzWF3JIXUl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\nGEA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piD8ee1we3ro/yYtdLShFkXdujDFPiEW3l5/eGcUsibSixoBi07LFZuj8CIIg8Myx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9/WFLEImMPqoLqpgpx8E4cf2Evtng1pnV4MJVkHdjeuzBKgx/RMED3F2HmmNy0iSctLNrq7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\nJZFIJBKJRJIE/n9vgKpFv6ckRwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x142930828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"W = fenics.VectorFunctionSpace(mesh, 'P', 1)\n",
"flux = fenics.project(-conductivity*fenics.grad(pressure), W)\n",
"\n",
"fig = plt.figure(figsize=(10, 10))\n",
"fenics.plot(1/conductivity, alpha=0.5)\n",
"fenics.plot(flux)\n",
"plt.scatter(*measure_coords.T, color='r', zorder=100)"
]
},
{
"cell_type": "code",
"execution_count": 304,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"true_pressure = eval_pressure(pressure, measure_coords)"
]
},
{
"cell_type": "code",
"execution_count": 305,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"sigma = 2e-3\n",
"measurements = true_pressure + sigma * np.random.randn(len(true_pressure))"
]
},
{
"cell_type": "code",
"execution_count": 306,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-0.35370068, -0.24376425, -0.13883614, -0.14587895, -0.09695813,\n",
" -0.15960608, -0.11278866, -0.11136507, -0.08551648, -0.21376131,\n",
" -0.10508954, -0.30459736, -0.28060482, -0.08945882, -0.31609776,\n",
" -0.03900286, -0.20852722, -0.239819 , -0.25462143, -0.2128848 ,\n",
" -0.05520703, -0.17473312])"
]
},
"execution_count": 306,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"measurements"
]
},
{
"cell_type": "code",
"execution_count": 307,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-0.35203764, -0.24462461, -0.14167342, -0.14431991, -0.09821233,\n",
" -0.16075168, -0.11114068, -0.11026704, -0.08266248, -0.21482362,\n",
" -0.10718086, -0.30370702, -0.28202308, -0.08950809, -0.3160178 ,\n",
" -0.03808944, -0.2079058 , -0.23905823, -0.25533863, -0.21385337,\n",
" -0.05550931, -0.17678534])"
]
},
"execution_count": 307,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"true_pressure"
]
},
{
"cell_type": "code",
"execution_count": 308,
"metadata": {},
"outputs": [],
"source": [
"error = SquaredError(V, measure_coords, measurements)"
]
},
{
"cell_type": "code",
"execution_count": 309,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"4.56 ms ± 40.5 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
]
}
],
"source": [
"%%timeit\n",
"forward_solver.solve(conductivity, pressure)\n",
"error.error(pressure)\n",
"error.derror_dconductivity(conductivity, pressure, gradient)"
]
},
{
"cell_type": "code",
"execution_count": 310,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import theano\n",
"import theano.tensor as tt\n",
"import pymc3 as pm"
]
},
{
"cell_type": "code",
"execution_count": 311,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class SquaredErrorOp(theano.Op):\n",
" itypes = [tt.dvector]\n",
" otypes = [tt.dscalar, tt.dvector]\n",
" __probs__ = ('V', 'measurements', 'measure_coords',)\n",
" \n",
" def __init__(self, V, measurements, measure_coords):\n",
" self.V = V\n",
" self.measurements = measurements\n",
" self.measure_coords = measure_coords\n",
" \n",
" self._pressure = fenics.Function(V)\n",
" self._gradient = fenics.Function(V)\n",
" self._q = fenics.Function(V)\n",
" self._forward_solver = ForwardSolver(V)\n",
" self._error = SquaredError(V, measure_coords, measurements)\n",
" \n",
" def perform(self, node, inputs, outputs):\n",
" (cond,) = inputs\n",
" self._q.vector()[:] = cond\n",
" self._forward_solver.solve(self._q, self._pressure)\n",
" error = self._error.error(self._pressure)\n",
" self._error.derror_dconductivity(self._q, self._pressure, self._gradient)\n",
" outputs[0][0] = np.array(error)\n",
" outputs[1][0] = self._gradient.vector().array()\n",
" \n",
" def grad(self, inputs, g):\n",
" val, grad = self(*inputs)\n",
" print(g)\n",
" return [g[0] * grad]#, [tt.grad_not_implemented(type(self), 1, self)]]"
]
},
{
"cell_type": "code",
"execution_count": 312,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"sqerr = SquaredErrorOp(V, measurements, measure_coords)"
]
},
{
"cell_type": "code",
"execution_count": 313,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#from theano.tests.unittest_tools import verify_grad"
]
},
{
"cell_type": "code",
"execution_count": 336,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"Wdofs_x = V.tabulate_dof_coordinates().reshape((-1, 2))\n",
"V0_dofs = V.dofmap().dofs()\n",
"points = Wdofs_x[V0_dofs, :] \n",
"\n",
"with pm.Model() as model:\n",
" #ls = pm.Bound(pm.Normal, lower=0)('length', mu=0.2, sd=0.05, testval=0.3)\n",
" ls = 0.3\n",
" cov = pm.gp.cov.Matern32(2, ls=ls)\n",
" k = pm.gp.Latent(cov_func=cov).prior('k', X=points)\n",
" pm.Potential('y', -0.5 * (sqerr(tt.exp(0.5*k))[0] / sigma / sigma\n",
" + len(points) * tt.log(sigma)))"
]
},
{
"cell_type": "code",
"execution_count": 337,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[Elemwise{true_div}.0, <DisconnectedType>]\n"
]
}
],
"source": [
"func = model.logp_dlogp_function(profile=True)\n",
"func.set_extra_values({})\n",
"x = np.random.randn(func.size)\n",
"for _ in range(100):\n",
" func(x)"
]
},
{
"cell_type": "code",
"execution_count": 338,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[Elemwise{true_div}.0, <DisconnectedType>]\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 1000/1000 [23:44<00:00, 1.46s/it]\n"
]
}
],
"source": [
"with model:\n",
" trace = pm.sample()"
]
},
{
"cell_type": "code",
"execution_count": 339,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
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AOAfWl2kZq3ChP3Rkpkrb9Y5UuLpuDem4OFaNmj589LNjz7Zazr7HnuMhnfq2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\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rvJnbD72d1gV/Sn3iMm6uLvHdQ03m1m5gzlyEE/w9x5PHSSQSPPLII88DrJ/A+P/j91G7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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x168bc4320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_ = pm.traceplot(trace)"
]
},
{
"cell_type": "code",
"execution_count": 340,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"835"
]
},
"execution_count": 340,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model.ndim"
]
},
{
"cell_type": "code",
"execution_count": 341,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"q = fenics.Function(V)\n",
"k = np.exp(-0.5*trace['k'])"
]
},
{
"cell_type": "code",
"execution_count": 342,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.tri.tricontour.TriContourSet at 0x192adc7b8>"
]
},
"execution_count": 342,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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OKHfClbGGd1myGUZRlChF5ERhKgnfZXhVTpcIogtlk1SpSFzToyrhQ6RsyvZk\nPzPez50nTaFK9EKLEpEk9tyiNEXqwnf9s2c6bps528AcNf0rlDTR6xgROXlxJ/udJcMX6JRpff8B\nAMCd/dPZ54wo3dk/3RaloYErWN9/ICdLyy+tto81OjCNxRfvcNMlgF+Kxw56IOkSb8gDT5bIhbBo\nyIMPWeJRNXmySZlU0hRSMmxkSXY+9CAL8nEZohRTpk6iMJXAK95tJ0uycrw6QV8k65bqFSlLIdKj\nvt2k8E0H21TKRCZVpXsqaQKqP3qcPged1CtKU6Tq/MRH9Kfh6UgTj8dONzoGIhDhILJ0uJP97u/s\nZr/v5wYfwcLza5gcnGoLzcbefQDy0kRvtCgNDVzJiRKRJSATJSJLQCZmz+8OWQ16IF8f+R6wvTC6\nE/FofMsSC69sr0hIyiTrZ+KlTEBYKRLhW5bY4RVlJ0pRmvJEYSqYV7z7gziSXEv5LsdznYwXqhzP\ntFepCGQX/6bJjI28+MZFpAAYfb2uQyN40mRbolcGNqWBUZoiVYWWpbm7eumQrHTpykOdC7XSzK+1\nML/WQt929v9A+/+pnexzIk2kl4lIEwBs7WayREsTESN2u7F9qz06nE6VaFEiAx7oMjxalnQHPciG\nPIgm4hFEQx54LC/caW++8C1OJo+XleaRlEkkTYB9P5OoLE+1vy9ZqipRmk5I8uvz1YPHH388ffbZ\nZ8s+DWNIsmQrTKKEKeQo8TLWXiK4ipLrlDqTkjUXKerbkz+2yGRR9lrK7adZ5mn6+uKNImfXbALQ\nsWYTO3o8uy3s6HFfcvblV/9zL8cpgyRJvpqm6eNln0cVqev7FJsskYv+3G23xaPF5zZP1q7J3X4s\nXjNnxBeN1+5l+xyNZP8PtP8/Gj7C7Ng4rm+vYvahCazsrOL+4Wxoy4ND2b+jQy8BAMYHX5J+fXSi\nBCCXKAHomIbHyhI76IFIHXkPINI3sJPd3X/8L69vyWTIA0+YiCRNnx/F4s386O0LM2ek3wcTFldP\njq0aT64rR6rjLNzexMWLnePCAWB+batjXSYCKWPjjRpvrvPHiwPZIrOq8eLtcwskS+x0xCpR53Hj\nvt6nojAVBF2GZyNMZa29VJYw6chSqLHdOuV1RsdTCFERuEiXSqJMeuR4rzfea4wVpypJk+8Ua3t/\nAF/7sd/0esyiiMIkpo7vU7wyPBthAuBVmmbHxtHcXmtL0/BQ9rsukiaaC/eda3/sKkoAcrLE9i6J\n0iVdWQLy1HhCAAAgAElEQVSAgZcOj79/6r6l5YU7mD7Pvy+EQPHEiSdIqtJBHQEji9nKpAkAV5xE\n0uRDmHpRlgh1laYoTDV6I3KVpexxvSNMZcmSSJTqKEgmmMiUL3liX3c60gR0ihMrTUAYcQohSTRR\nmLqPur1Pve4TV9sX+zSmwgT4labL4+OYe2G9LU39w9nvvEiapu/Pi8HWwWLuc3ZcOBkgQZffAbCW\nJaAzXSL/0qV4AzvZ/5W2Qx7odEmFb3mihce1r2pxdUsqTSJhItCL2tLyZCpNTfKalUhTCFmqgyjR\n1FGafL1PdXZXR7xiO+BBlyhL7riIkosc9XVe63tHpydO9DXwRIr+nvBee+z3UvQaTPb6cq8/8nOn\nX3OHe30d0rS/N5CTJtLXRIsTkRFanLb3B42lKbQk0XzHf/qntZWmSP153Sf0BzzocGUsm6S3cLuz\nPO/KQw3M3W1Je5oGABwMZ/1AcxvruDI+gbnNdWA462fqH97Hzu4AhocO8OLOEO4f3sXzu0N4cGi3\nY7IdcF/us61dfqrEEyXgZMDD4c4pNHdOyvCaO/mpeITHTjewsHOcLu20pH1LoiEPuhPxdGSJ3W/x\n5lau38lGnnwPn1i+vs6VppmzY1hY2pBKE+lrml/bwtJzG21pmp1ooLnewuLKRk6aZicaaN7slKbZ\nsUZbmnjoyhI9NrzbZKnXiQlTQHiyJEqYYrqklqWiUiWZKJkKUhFSZIPNcBFVEmWTPtmW6AF6ZXpA\nZ+KkEidfoiQTJBF1k6aYMImpy/sULUu6CROgTpkAedIkfdzdFmbONHDtXguXJxuYe2E9188EQJg0\nEWYenJQ+h6j8DlCnSgBysiQb9NBOmbazf+lSvFPb2ddkMuQBMEuXZITsezI6j+PEiidNqtI8Gl6Z\nnknSJEqZTGWp20WpbimTr/epOCUvECayZItug34dKFqWRNPfeLLUt5e0N/Vx81tVYc9T55xV3wfV\nJD7e95w3WU80RU93kp5q3SbeRDvdceAqyLhzG1kCsqQpEimKb/uD3w96fJ1FP7mPO56qR48dF03O\no8eNkw3IhEi20Y+hU6Wd3QErWQJO1lzijRAH0NG3BJjLEsFVlsgxyAbA+7Q97fOQfL06o8YJvCl6\nojWaZicaHYvIkp8TEaSFW612OiiTpes3Wz0jS0DvTs6LCVMARGV4RQ57yI5ZfMLEK63SfYzwPAxl\nyWbRWOFFvkSSXISoL+wANy4uwm6bgALi12kZiROvv8kHtoLEY3fvFL75D97j7XghiQmTmKq/Tz3x\n6U+1e28IooQJ6FxPSSdhIogm57HQ6zgdDmf/Hhz/y5ucB2RJE5mcp8vl09nXLCq/IyPD2Ul4wMl7\nBS1KJFkC0DHoQda3ZDIRj+ArXRJBp05FJk6ylAnQ62ci6CZN5DZR0gTEVElGXZKm2MNUUWx6lnyv\nvZQdszxZIh/rHMOHLNkIUvuxhqJkIkllSJEM2fmoZIr+utnXK/u9YgVK1PdEfm70a5X8vHX6m4C8\nOJG0ie1xUvU32eJTkggkHXvZH7+3NtIUqSdzL6yjDwnmXljPSRPLzBn5Gkq6kH4m3uK2NKT/qX8n\nk6aBnUya+rb7cDRyhL7dJPt/ZKcPGD7KUqC7qwAGMPuQfFQ1Yf7eiVzR5XeAearEkyXgJKWQ9S0R\ndGWJEEqW6GPTvU5FiNP0uVEsrm4J+5mAfMqk6muih0EA/J4mctt1pqfJZKgDOY4IOtlykSUidz6O\n5Qo5l7c8dRWf/I03l3YeRRMTJs/IhMln/1LV0iWZ+IiOVaYs+RYl33LUv6veR5fDIfvHqkRKJfsm\nr9/QiZOPtCmEJAH8RXkBVF6aYsIkpsrvUz/+mX/dMeEN4CdMgP6kPCIJvEljpJ/JJJUC5EkTPW4c\nAK5v66dMLLm1lWAuS6RXif6YHSFuOxGPEDpd4lF04iSbmkcgfU00PIHirddkkjSJKCtVaq63MD01\nLlycN7REifrBqi5NMWGqIDayJKPIBUtdUIkPL21ylaWyRclWkHyKkOtz6ogU+3Wyr2NZ8pQ9nkqX\nqNcz+TmETpx8pU0h06RIpEh+/E8+geb2BtgWZpks6TLzcKPd98FKk2k/kyppuvLAyeS8E9GR/04R\nseJBp0r05327CeZ3jz/e7sP89slwh/Y0PKpniV1vCTi5cOZNxCPoTp7TkaXl5u2O2y7MntU6vuj5\nSOJUhDTJUibgpK+JZuH4+0mL0+XJUcxTk/MAddJE4MmTqSjp7GsDb1FeAGgGEik63eI9d68kTVGY\nPPHKd3wQcPhLvk+qOB2PvsgtZRpewaJUhhiZYiNS9NdvK09FihNbpqc7hpy+3Rc2ghRL8yI++fE/\n+UTuc1KWp4I3JU8FT5pk+/LoRyZLrDSRceMYArDTJxUhQnN7LZcgsbCiZFqCJ5IlNl2yHfJgOozh\n4tTJMZdWtnISZSNPbXEKXKanU5rHY+bsGBZub2KJGUNuIk00zZv812SZvUqzEw00mTHpNCFESpQq\n9SJRmErGarxzhabj6ayb5LI/D5N0qQhR8i1HIafr6bzeeF8PT6Js5akocVKlTQBfnHzikiIR2bv8\n6d/C/Bve7euUIj3M9e3V9kCD2bFxqUC4QNa0oaVJJEX0Y1iaVMJE/n3sdAPX1lrACNr9THpfh/y9\np73GEsxlqX/n5Ovr3waub5+U4bGleLwhD7rYpks+5akIcSLSZIqrNNHQMtFcb5WeKrnA+/oWVzY6\n+qKAk3M3FaVeSJliD5MHXvmOrBRP9pf5buxf8iE/Hc/tWIqnWmzWlyjZSFKVx4ybiLuqlM90GiTv\nde6zx4ntb9Jdv8kGH2V27Kh0QhWlKfYwiana+9Tj//F97QEHhzun2j06RA76tvu0+5cA8ZQ8MhkO\nQMdCoDrN9CxNqpdp5my26C3bzyTj8rjeBR8ZfkEvRNu3ffJ+NHDcl2SSKpGPXfqWgCxd0u1bWm7e\nzgmSjKUVqj/JInUK3d+k08/EQ7R2k6yniWCTpBQ5AS9k4sP2Ruk+B90DdvVXqydNsYepIrjIkoyq\n9y/VTZaKEqUqS5EM0XnzBIf9HrCvfZ3kiT5uiMRJlTYB8ml6JoSUJJqYNEVsef2ffbjjtub2GtjU\n5dq9fB+T63Q8G0GiuX6zlZXljRz3NN1uAUw/0+VJxeK5G3opTh9OepV8lOAB2cK0RJYGXjpsyxJB\nt29JF166JIOIFZ06mYhTEf1NbAqnI1CmSROBJE4ElTCYpErkdcAKmykkGQuBqYTR50F6vt78vquV\nlCYfRGHqMqrYv6RD0bLkS5R8ClJ/CWPIDw3GiQNqgRLJk4k4Zftnr2NbcWLL9HSHQgD6aVNRokQz\n/cnfxuJbfsX5eSO9xereDQBDx2sVDXDL8S5PniwSSyNKl3zBLh5KQy4OZ8caaN7KZIntZ+KdM02f\nohSPJ1w++pUAtHuWAORkyaQUzyRdAqCdLvEe4yJOIaSJFUrS20QjEigTaSLI5AnIC4VuqkSni/Nr\nW1gSPLcpolLCIuCJEk23SlMUJgdIumRLXfuXfKdLoWTJJFUKKUpliJAuvHOTSZRqsINInkSpE0+c\nsv3zqZOJOPlImwC+OPmabGcqSofU70iUpogJP/PlZwBki7WShVoJs2PjmNvUG/zAIirHEyESI9UF\n5+xEI2vAH0FHP9PAjvhxM2fU6da1ey2hcLkkSwByay2xE/EA/VI8XUzTJR4u4kRLExCut4lGJVAq\naSKo5AngC5SJLLWf14M0hUyZVOiOYO9GaYrCZAktSy7r3NQNn7JUpCjJBIcnSzaiVIQY9e+5C/Ph\noPz7Kvo6WJFSpU/ke6iTOolETCROwIk8seJkmzYB4jK9MkTpMMC0yEhv8bavPo21vTtgR7hm6xXl\nX9PZxDz31xyvDE93HLOM/u2sNI+Wppmz/OPN3W1plROS30aZXNEJGy2J9NdJf130x+RCGeCPwtYh\ndLokOw4RJxNpIiwysleEQAHA4rFAEXGSSROAtsAQRCJj8tplRYnGZ9JUZMpkulYV0H3SFIXJApNk\nqRv7l3xQlCz5nHrHO5YvSfIhQq7PZSJSvBRKlBaZiJPoOKI+JzZxMk2bAL0yPVd8i1JMmSKmkLK8\n2Ycm0LybXVSSPqbL4+O5YQeAe/8Si8kFJ/uX/AEAB8NJhzSJSgP7FcdnRWvuTqtDmuivn34eOkWj\nUzOTdEkH03TJlyzRXJwaNZYmQk6eqOQJCLsALm8suUiagE6poZMnwLznSCZL9HO6SlNRKZOq/I77\nmE3xAtZ1JgpTFxG6f8lXuiSTJV+9Sj6HOYiOpSNLRYqQK7xzFUmUTJ5EaZGqXM9GnNhSPdO0CVCv\n3WSLS9mdDhc/9n4s/ez/ZvSYSO/wU3/588cf3YeZByex8Pxa7n5RH9M1agFbk+l4NrBilDs/pp9k\nYCftkCYW3Qu0udutDmla4EhTiHRJp3+JyIXtGHHhvtdWAQAXHjun/RhamgC3NZyAYuSJN5acliag\nc4Iegf656aZPgJ4osc/jI2kKmTKZpkr0VEzyu/jGp6/i37yjO1KmKEyGuPYt1ZW6y5LPHiWRKIWU\no/7dMMc+HFKlSmqJ0pEnndTJpM+pby9xTpsA9dpNgLk4hRQl9vcwSlOEx7u//j5cuO8cll9azd2e\n9TFlgx9odBewlUGPEzdBJ3kif02npYl3EddUrPVELuLIxD0iTVceagjL+EKkSzr9SyFL8UzFybZE\njwf7dYUq3Zs+N4pFZvFbIq60OAF68gSI0ydTWaKP7yJNoVImm/I7WarULdIUhckAnizZjhO3GfhQ\nFqFlyecEPFZ0fImSLE1yEaVQIuT6/DKRor9ekTy5iBMg73Mix3BNmwC7Mj0WU0Gin0eXEGP8I93J\n+7/5a3jx4BbuH5hp37a2twJRH1PIBWwB+RQ8E1hp4h2XLcWjL/jYNaFYSJo0d7eV+xwotnfJdM0l\n7eMSSTqWn+WVLSxfW7VOm1ykiUaWPsnQESueNAGdP5MFRmxN0ydTUWKP6XN6ngs25XdA9rvVbeV3\nPKIw1YgqTMjzTShZCi1KKkkqW4Rc4Z0/T6JE8iRKnXyJk2vaBLiX6VVFlGLKFJExff8ZLL6Yvwil\n+5gIl8fHMbfhZ/ADi+mwh6Xn+AJ3CsD+SIKBnZPfZ1E5UnO9hes3W7kLv4VbLWHKRKBFqejeJZup\neDrpEitL9Mc2aZNvaSLoiiJPrEQCRaQJkI8gJ7DpE8AXKBdJ4h3LVppmJxpoeijLs0mVTOiGlCkK\nkyZFleKFGvhg278UMl2SyZJMlAAzWfLZnyQSpZCCVJR8KcvzmPNg9yffG53UybXPyTVtAtzK9EwJ\nmSipBqhEeoePNt+O3YMbAB7ouC/rY8oGPxCydIm/gC3vlS7qX5KNExdBr1fEg3dBOr+2hVPbae6i\nsilYK4ctV5oda3BTpgWONNEUlS7Z9C2ZlOJdEOx7YWrUOG0KKU068L5HstI+ehBE+34NeQL0y/dc\nKStpCi1KNHWXpihMGsS+Jb+4pEqAviwVUXbnIjNVS6FMy/PI/i7iBJj3OYVMmwC9Mj1dXPqTVNCi\nNP2HH8DiP/llo8dHuouPNt/e/viRkYdxY3sBwH3cfckCtjSkj0m0gK0Km/4lHqJ0CchfVLafl5an\n47Vy6L+2K1OmzVYuSSLy5JIuiVi+vi7tXwrRt7R8bVUoSwRbaQKAJYdhED7hlfax0kSzaLAALo1u\n+Z4NLtLkMvzBRZZUpa7dRPzTpANV6l9STcgzpcj1lgh9u4myBM9Flvr2xaPBebLUv5e2t477dlOp\n8JD7ZVtdUJ236D7R90/0/Rb+fHbzP8++vfzPmn0c+zphX1d9+0mHtCd7fbnXabrf1/E7cLjXpyVA\nZD9dWeI9lwhynrzfqek//IDWMSLdydHh32jtd/l054Xh7FjnhdbMmUa7n8cW2/4lUbnT0tIGBl46\nxOXJ0faWkycmser4nCN1V8Ya7Q3IRIlepJb3WJ10yYTQfUs6qKRKBBEnHwvn+oJ8L2UljtPnRtsb\nkMksvYmYOTvW3kJg8xpyWd/MByb9S298+mrAMwlLTJgU9EK6pBon7nRs5sJOlC65pErZ/Scfs7JU\nRNldKAEqaiy5ag0mGvpr7UiXDFInVZ8T0Fmu5zttyp7DrUyPvt2EWHYX8cVnFp/k3p5NylsEL2nK\n+pj0F7AVrXmkgncxJxsnLmJpaaM9GlqFLGWaHWugeYvfpK4qN9RNl8i5+sa1b0nFhalR40EQ5HzK\nLNHjMX1+VLvXqSN9YkaSl0HRKVNRzNU4kYrvwhK+4xe6X5Z4FD2RyyVVyvY5+TiXRFgmSh23SxIh\n27SITl9kW1HYno8qdRI9T+ft4tQpf1y/aVP2GHnaBHSmQHSKZJMmmSZKOvTtJ5j50NNa+0a6hy+t\nvAn9R/9duV82KY9PtoBtNviBcO1e54WNr/4lwO2v4nRPiWnKZEMV0iWffUshqGrSRG+A3mCN6XOj\nWutlzZwdw9LSRsfmikvKZPPHiKIgsvSTz9QzZYrCJKAMWZINfAg1IY9Nl0KW4rEXpjoleB23GcgS\nDbkg9yFKOmV1RYpQ/+6RcPONsMxOVJbnQZx44tuRInIek79f/trTKdMD7H8/fJXd8eCdeyRCM32/\neAQzrxzv8qSZZBTRv0QQJTfsY9kLRzodmh1rYOFWK7fx8NW75AuffUshuDg1iotTo1hu3q6UOBFM\nesR0oUv0yGvThzQB5q8tWpqqKk6yAStVx8vVcZIkr0mS5FtJkjSTJPkVzv3/KEmStSRJ/up4+1+o\n+346SZK54+2nfZxPEVSpf0mFakJeEfBkSbq/Z1li8Zma6BzTFJkEmUiRj2MIj23w/fPR5+Q7bQI6\nX4cicaIxkZ+QaZJIlGLKxKcb36f+YumV7Y8nhh7V6mNa3bvBvX12bBxzL3T+Vd22j+n6zZZVuqP7\n13U2ZaLRSZlmxxq5TSRQvtIl1cAH6WMD9S2FooppU1EQcXJNm2wTy9mJRi3EqY4pk7MwJUnSD+AP\nAPwogFcAeGOSJK/g7Ppv0zT9zuPtXx4/tgHgKQDfC+B7ADyVJEmYTjoDSLpUp8VlbSiyd4nGtAQP\n6BzuYCtLqot8U1GylaQQAuOCy7mELNdTSVN2PGYfx7Qpe0xeRmRlerJNh5gmhacb36e+dusJ48fM\nPDiptR8Rp5kznRPjXPFxAecjZWLhCVQVCN23JDuOC1WVpunzo17L8kT4TptMYcWpbOY25eP764CP\nhOl7ADTTNF1I03QPwKcBvFbzsa8G8IU0TVtpmm4C+AKA13g4J2vq2Lckm5BXRrqkO+iBhSdK2ePp\nffL36cqSz7I7XUkKLUT9O4fSzRfaaZZHccp/nr9ft0TPJm2y6W+yIWTZXd9ugtnf/T2X0+tGuup9\nSiZL54Yfwe7BnPTxl09PHI8W59w3zpmYJ7jQKaN/iUD+ik/QTZl0J/cRcSKPoS8+ycdLz210PK/P\ngQ9l9C35LOWjpalq4lQErmkT259nQ9kT9GTULWXyMSXvEQDPUZ+vIPtLHMtPJEnygwCuAfilNE2f\nEzz2EQ/nVDtCLVgrQpQuJaeOgg594KVLIlEC7GSJlyqxyIY4cG/XSJB8JkM+hEd1jMPhfvNjUl/j\n4RD/dUJ/r3JT8UQT9Di39++l3Il67DQ93qK3ppP0AFhN0yOY/FHCRLZMkyRVmWuP01XvU/cdfgMA\n8LxgnSXCiwfitZgI17c7J+UBWR/TtTX+ArY0vP4l23HiPmCni9GTw8hituz5FbFoJw+dgQ9V71tS\n0V6v6XiKng5VmbQHZKWUojWadCHTHZeWNoItfKtCNkGPXausSH7ymav4o5+vx2K2Pq6Mee/S7NXl\nfwQwnabp3wbwnwF8wuCx2Y5J8mSSJM8mSfLs2tqa9cnK8JEuVWn9pTqkS0XKkk3ZnSpJsk2NikqH\nTM7B+PEayZnLgAjdEj3XtCnbR2+aHu/1TKdFqk0H0zRJNDwlpkw5uuZ9auX2qzFyala53yMjDyv3\nmX1I70LQpo8pxF+22ZHipikTuY3egOyCkd5oTNIln3RbIkMGQvA2miJkyaQszxe2aRNJmVySJllp\nnsvvaXOTP56fpRvK8QA/wrQC4FHq8ykAN+kd0jTdSNOUXMZ8FMDf0X0sdYyPpGn6eJqmj09O6tVh\nm8DKkkxuZAMfQuB7Ql7I3iUa1aCHomWJRafsToRWiVpAIerbPZBuNvg4RxNxyvbnixP72Pzn5gMh\nAH5vk21/UwhsREnFY++rX4lxILrifWp7/cfw4NFi+/MHBy9h4PDrysdtHSwq9yGjxVlIH1PZyP4y\nz16AqnqZaFQC5QPTgQ82pXh1ZGllC0sr2ZpHF2bPVipZ0oFd7FZn8Vub3iYi5j6kSXRfmalwXUrz\nfJTkfQXAlSRJLgG4AeANAN5E75AkycNpmt46/vQJAGSUz+cB/BbVQPsjAN7l4Zx6gqqnSzQ+ZEm2\nIK2JLNmW3WkNQPCUDtlKj+jxR0Pmv+r012Javke+V2zZHm8B22z/NF+Sx34uWPiWt+CtarFbwK5M\nDzj54wVPbGS/jyJClt3Jfsd6kJ59n8oWr5U38c+OjaO5Kb8YmznbwNztVnstpoVbLW/jxE1YuL2Z\n6xFiF7O9PDmK+bWThUdJGZ7uop6iC0s6XRLho8HfRZaWV7a8lOXZLmCrC5EkoNzyu+WFO9yFbDv2\nE8iPTIIXV7eE5Xx0iR4g/2MAgUjT/LE0mS5q2z6vipbm1QHnhClN0wMAb0P2pvI3AP4oTdNvJEny\n3iRJSGfqLyRJ8o0kSb4G4BcA/KPjx7YA/CayN7OvAHjv8W2FUuVBD92SLuk9Jqws2aRJOiV3tqmM\n74TI5LlM8VG2l7tdUKrHfl522qQaQ54/RiLdePvqICu74+7PnHdMmbrjfWp7/cewt58Nc9jebwIA\nnt+7rnycSpZYeKPFq4JtykTSIzJmOeS4Zd2BD7KSMBtZCiU3vqlKoqS7JtP0uVHhpnocAGHaZLtu\n0+XJUesyPZ+leb7L8eqQMvlImJCm6ecAfI657T3Ux++C4C9yaZp+HMDHfZxHL9Ft6ZLuGkvsvuwk\nPBpWllhkkqRCRx5CiI8vbBMo8nW7DIygUyc2OeIOgPCYNmXHPt5HkDaxj+vbS6Rpky4xTSqXur9P\nEVl6vm8aOGzipf5vAw6v46D/lcDhItZ3s7kUqzvZOks3tm/h/oEZbOytYnRgGlu7Jxfo8/eyC7jm\n3eN/NzcwOzKJ5s4GrjwwgfndkwuqhTuZG/ocLc7DpCfINGUisBeFTebCUfSXdzZd8rVYbYiFVOtA\n3UrvbCHS5DttAuwTJ5K4Cu+LKZOQcOPQakIV0iXRhLy6pEsmgx46/mLP/cv+yce+ZUm+YK17kuQr\nJerbOdDafGGaQLn0ZokSp/w+YdKm7FjMPsxQCPI43THk7OaKS5ok4mW/Xv7/cxF3nu+b7kiXtvYW\ncdj37QCAvv6XAwCGBq4AOEmXFl/MZGnh+TWcG8wG/E0NZ4nEpZHsX1KSN79x/O9aC4+dzi6crjx0\n/G8JJXgsLr1MLGz/EptAyVIoXblzWcsnImbx5hYWb3ZKsSk6wx9codMmHrZpE2CfOMle26p+puZm\nmD+eVD1l6nlhqiNVS5doVIMelI8PLEssqpK7kJLkQ4RCCZVr6Z6OSOlIk85ACNtJerrilN9HLSgi\nkVKJkK4okXNQnsc+/2uP1I+V26/OydJL/d8GAFm6BAjTJQAYHZgGAEwOTgEQp0sAcOWBidy/onTJ\ndv0lnT4gW9hSOLpRXvdCkjcAwkfpnu7Ah6pNxvOxgK1viCjp9B6pKDLhI2V8vgdCEEzEyUdpnk45\nHiF0Ol0UUZgqSl3TJRm8dCl//8nH7CQ837JUlCQVkQ6ZPL/x4z31VIm+p0X3NoXsb9LFNpnSfU6R\nJMWUqd7QsvT8XlaKt7W32L6fTZcIdLpE0EmXCKJ0qYyBD4SLF8c7RowT2DHjrDjZCpQKHwMfAPfJ\neMsr7qkL4HcBWx/QouRDlspCN21yWexWR5xcp+bp/tHENJWucsrU08JUhXI8U7o1XZLJEo1IljrW\n8FHIEotuWZmpJFUN6yTL4zAK9vusW6LnI20C9MRJp0wv2y8Rbj6IaVJk5farpbJEyvHodAnIyvHY\ndImU49HpEoFNl0g5nin0ukVFIxq4QC4iXQWKPM70+VlClYHVZfCDCXTpXShR8vnzWF64k9t4hE6b\nAH1xsinNC/3HkqpKU08LUxUQ9S/5pIx0yWiMuKQMj0YmS7n9DGTJRJJkwmAjIcnuvtYWElOB8jnJ\nr8y0CXDrb9JBJlMyCTKRLlNJiilT/VDJ0vrucx3pEinHY9Ol+XvrHekSKcdj06WFO612ulRFdFMm\nHqw8mY5o9rFgba8OfNCFFaVQsmTyc2BliLeRY5LjqsQJkKdNgFt6KVvDKdSCtt1KzwrTd//j7rpw\n8Jku6QiWyaAHW3TL8GhEssSmGD5K7nREw4cIFSFOBBPp87VYbu5zi4EQvNtEaZOv/iZfaY5NMmWa\nJpFzJ9sr3t1d//d1M1+7lU08J7IEoEOWALd0qbm5YZQulbX+ki4mF5m8SXo+MV2wtooU3cdUlCjp\nIJMh2UZgxYmH7vhx2xI9QC74LqV5JmV5pn1MVUyZelaYqoyof8lmYcyi1l3ygawUT/wY/QEP7fsE\nohRCknxSVXFqP8ZyTSmb3iadEj3yuM7b/Pc3yTZf6B6PFaRIvaFlaf3wQQB5WbqzfxqA33SpTohS\nJhVElmTpkmj8MsvS0oZ2OZ6I5eZt5/4l35TVx1SGKPHSIpkMmaBKm+h1nUKW6NmW5vGo8h9NQtGT\nwhTTpXqhW4onfDyTLLGUKknbO2b7w1ycXNItH71YJuKU+9zj+HFXccrtYygiLkKlvZ+hIMWUqfqQ\ndEkmS3QpHp0uEdh0iUCnSwQ6XSLT8UxRNYr7hh0xvnB7sy1QsvHjtrJkslaUCHIhHhJfgx9CcHFq\ntCNL9a4AACAASURBVHLTAMnPw4ccyZ7DJG3i4aNEz6Y0r+jfa0LVUqaeFCYgv8hlEdALYRZFldIl\ntldLdgEoKsWTISvFk6EjSiK0BWR7R7zR9xsie27VuZkKlK9R5Sp006b8/fy0yUScOs6VncwoKdNz\nTXFc0qmYInU3Klla3bmRkyV2lDidLgFZOR6bLhFRYtMl2/4lm94HVxFhRSmELJlSRjleFceA14Wi\nesrKLNGzLc2TYbLEQN3Hi/esMFUB3sAH03K8uqdL5GKPXIzKLhJF6ZJ20sRciKtkSYSxJOniKE4u\npYAmj3MRJ5e0Kfe5xkAIcpttfxOgV6YHdJbB8TZf2ByTnDe9vfIdMWWqMjayRC9Uy6ZLpByPTZfm\nNzacJ+OVCREklSgBZrI0PaU3CKLscrzla6vtDcjK6Ko2EjySh6RNZZTo2ZTmiVImk7I820Wvq5Qy\n9ZwwdVs5nogqpUu26A56yD+Gny7pypJOqiTERpJkxykBG3GyXd9Jha/x4+T2jts8D4ZQ4SJUppLE\nylGkXnxp5U0A7GRpa/c+AGbpkg9UZTshF601wacsmeKjHI8WpOVrq21BiqJUP8os0ZOV5pnSKylT\nzwlTpB7ISvFsBj3o4JQqhRCckqQJMO+TslmYN3TapFOmJ3y8oTj5EBOXdMr2PGLKVF1cZEmULhHY\nhWplmFzgVEGIRMyvbRnJkovg+S7HE6VIUZCqw3LztnLjoTMQAvBboqcqfw2dMtV1Yl5PCVO3pUui\ncjzXdCndr9bLwvegB95FunWqBMjFZmc3v5lSYtoEuE38MxlPrsJmIES2n5k4dd7GFyfheXJK30Kl\nPT6OGRe6rR5fWnkTd3S4iSzx0iUgEyU2XdJJmWzLaaqCqSzpUmQ5XpSkasGToYtTo8KNfgyLaiCE\naYmejjiJSvNCp0x1lqZqXRl3KbyBDz76l8pCtmCtb2zXXBLhVZZUMsMTpJqKE2A31txn2mQzfvxk\nP/fBELQ4uYwMd5UpF0niDZX4jl/orj8kdQuussSmS6QczyRd0qXK5Xi6ay2FKsMjFDEdLxIGXlok\nkiIRrDjx8FGiZypOon6mUCkTYC9NZdMzwmSSLpUx0a6XIBdq7MAHFT7XXGqfi4ssyVBJUQ+Kk9Z+\nHtMmkTjxbrOdqOd77SXfCVWoNaEiYfjM4pPY2lv0Iktk3SWddGl+reU88KFq5Xjza1vaQx50ZEnW\nKE/TDYvVlgkZhuAbk1HmOumRLSbSZFOiB+iLk6g0r4hepjpK00DZJxApjv7BIxwWlA4dDaXo202M\nHkMu6MhFaRGleDycS/BMIPsPD5k9jpzDyLDZ/gTdx0kg36d0SO8vDESajobl/+2Qn9PRkHg/8rM9\nHO4/uW33CIdD+dc3eQ0dDibUfse3DeVfn7zbuY8/fn3KliZQyUmIP8q4CNF3/MIH8bUP/ZK/k4lY\nc9j37e2PiSzR2MjSpZFzaO5s5NZdqgq6IqIDmybJRAkwHx/uugYTSxUXq+1mlpu3cWH2LPd2lpA/\nF3LspePnZc+JSNPizS0sL9zpWMSXSNPi6haWr6/jwiV+WS2RpoXbm1ha2hBOkVx6boP7u7K4stHx\nx4TZiQaaN1u4dD4vVbNjDTQ3zX6fiDTNaUrT47/2DJ79Zz9v9Bw+icJUcUzHiYv6l/o1x49XrX+J\nh+2aSyy81CNoqqTzWJ/iVFASRX/PdOSpb+dAKU1AJk4yaQIycWKlCYCzOHXcZilOInwIVUyMuhM2\nWQJOFqalZWl0YBpbu3f0ZImzQK0NC7daHeU3PsrxXETEVJIIoSfi0dS9HG/52iouPHZOvWOBuHxP\nixYkERenRrG0siUUuenzo0JpAjJxUkkTkImTSJouT45yy1ZnJxpW65Et3Gph5mG7Er2q0xPCZDrs\noW/f7i/AR5wLJ9f+papRZP8SIcSaS5WSJd5xbMXJZH8PKROLbupURNoE2IuTUKYk4sTDdoHsomVI\nd4HoSDg+/K0fbX/c1//y9sd0KR5hdGAaiy/my3WILNHkZGlH7//uhTvmF0kiIeL1QdDYpEu2gkTj\nQ5Z4ZU7dWI53YWoUyyt6fWA+EUmC83ErluqZSBMAcdp0XJ4nS5tkSVNZKVOd6Alh4tG/Z38xU2eK\nLMsLjeuaSzTWsuRLlETHNRWnipDs7peeNgFycaKlJ9vXTZy456QQkbL+D+Kd13f/4w/i//sXsSyv\nLGhJYsvwgHwpHoE3EY+kS7QszY5MorlzskCtauDDlYf0+gtk6RKRJZFMEVnSSZd8SBLBZ7LkMiHP\npKem12iXpAkkwZYqiRKNa4keoJc2EWlisU2ZrnOkCbBLmcjjVHzvLz+Dv/xAOWV5XS9M3TZK3Aa2\nHK8Maerbyy4s3Rri/ay5pL3QalGpkuo5QklToJSJUBVpAvT7m7J9/YuT8HwDpFMmzxGpBh9tvr1D\nkoYGrgCAMF3qKMXbyZfiEWZHJrm9S/TABxnt5mzmYobIEk+IXGWJd/HmIkkEXVnyOdVPVjpW1Qt4\nHmWU5alK0rqNokr0vKVM660OaSIpk8kACPqxVaY7ooYuxVf/Eg9eT1OR/UvshDx24IMJQdKlKsgS\n/VxFPp9HdKfphZyi175d0OMmkm/RRD3RMXibC2SUOb3ZPC5SfTYP7sPQwJXcBqBjKp5VKd4xsnSJ\nTMhbuNOSpkvkgiaULLGT7ejNlSJ7lrqNMtd+4o3a7oaeMLIIMUsRo8eBzpJS8vvIlsnOTjQwO9HA\n4spGR4kt+R1nk2ZafGbHGtpb1elqYSo7Xeq28eRlrL9ELlBDDXowliVHeUldBjGEEKcCBkP4liYd\neGs2Af6kSbuXrgCJ8ilIZf+f2Yu8/5u/1v74xvat3Hb/wIyyFI8gS5dYWXJNl4AwsgTAmyDRFCFL\n3di/FIqLU6NGJYkqSdBlqYReLBkhpWn63Kg3aQJOfqdNpMmHBF2/2erYvv/nnnE+rg1dX5JXNYoe\n+CCbjseW5iWnjio/Jc9kzSWdQQ8dWPYrmYgQ2TexLYerYX+TbnmeDjqDIAiivia2PA/g9zVl+3dO\nzZPdrjwnzmvYtqQvUn/Ykrv7B2Zyn9NT8UTpEm8qHluKx8oSwTZdYrGVJbr8zqcosb0XTgMeLEef\n1z0JYSlzWh47/MCUC7NnK9U3RoZpiL6nruV5wHGJnqA8TzQEgvx+zh+/5unfSVKGx5boicrzRKgm\na9JUaX23KEwW9O8ChxW7VjUpx6PxJU1Hp1L07Rd70Rd00AOLJ1niPa50cQrcy2SCbj8ToC9OrsMg\nsv3F0kSwkSf6eVmKlijX9Ctih0iQaGhZIumSaSke+7FqsVqTdMlVlnyJko0kNddbWhdlvtdgqhtl\nTcujoYcf2LK0slWZ3jEf0gRkwzFkPV6iniadceNsX5OLNNGiVCUR0qXacYIDf/etv+f0+LLXODHt\nX+IhSpdODR5o7VdlfKy51AFPfBRlcE4ldr6OUZMep1Cleb77mkSlc6oyPFKqx262+C7nUx0/Ujzv\n/vr7AGSSRDYgEyR6I5iW4hHmNzY6ZIlGNUpcli7ZyBLbq2RLc72V26anxnNbpDuxTe140lE0bBke\n6Q+zLc8Dsu/H8sIdbvqm09M0c3aMOyZf1tcE6Jfn0beRnihX3vLUVedjmBITph6DlSUevJTJpX+J\nnZDHDnxwxUu6JJIlAT5EiXc867QJ6DzfCpbs+Z6c195fc70m3Ql6gP7ocRWsNPlOonzzd9/6e/jK\nx98e/Hki+XI7Frb8bnJwqv2xSbrEDnkgskSX4gH5UeK66ZKtLAFu6yfRuIiRzcKcAH8NJpZuK8cD\njhORCi5ia0rZKRM7REMnaQLEY8cBeYkemZ4nY+bsGBY8JU0A0GR7mjQkSbVum+nxfNOVwqSbLhW9\nFlOo/iWbcrxTgwfY3zv58atK89LBI6k0uZTjsRPy2IEPMnRkSWvQA0uBssQ7tpM42VBgWV4oaQLU\n4uRDmrL9zcWJfSyNi0RF6snbvvp0TpRYQQLykgRAmC51rLl0POhBNORBJEs8ROlSaFnyLUc6xzfB\nZQ2mSHlUrZeJoJImwL2vSTVu3Jc00feZilKVS/W6UpgIooudXkCnzM5UmsqiPSmvLVL6gug86IEh\npCzxnsc5capgygSElSZALk5Esl2HQWSPsRv8wDsOS5So7sZGkAD+oAcCb80l0ZCH9v2ULNHpEg+2\nFEdXlkxTpdBT7cjxL51vCEUwEikatjzPZRhEx+2aazTZSBMANI9/b3hpk4i6iBKh/Kthz7j2LlUB\nH/1LPHjleCb9TK7P75tggx446VK6vVOYLHl53uEhc1kq+OszGrphSd/ugfB1YTp2XDZ63Gfvkuy4\nRdEN/49WmZ/5cjYWd3JwKrcBmSSRDcgEid5cSvFoWWL7ltjJeAu3WtLepRCyRHqRgGJkSUQdLt7K\ngpTl1ZkLs2crN2Kcxkdfk00/E41JTxMg7mviQa/ppNPTtPTcBnf7n970+8rn8klXJ0xFclRgaR+N\n7XQ8k+OblOZVCat0SSBLZZNu7+inTRVNlWwhP0ebpKl9jN0DYdqkO0EPOEk5dZJrkeA49TA5SpPO\ncxcpZr0MLUg05wYf6diXlSTTdEk05IEdI67TuyS7IKJlqUqpElt+pzP62IS4BlNEBxPRdJmgp9PP\nJEuaVNPzALOx4zSqdJqGFrMqTKmMwiShb7+ei8+aTr1z7Wfi9S/17R4PetgrpqxIZ80lrUEPDFWQ\npUIpeMS4yfpMruJkIk2AuEQPcCv3DSFSrs8dKRZaknQFiQdvzSWSLun2LbGyRDBNl6okS7z+JFtJ\nsl2DqduJwx/sYAc+qPZ1lSYertIEmPc11VmUCF0lTHUrIzEZ+BCiHI+937afSWcNJtGEvKLGt7sO\neiibbk6XTBe1dREnG2kC3NMmHarWx/R9b34aX776jtKev1t5/Z99uEOSWEECOiWJTZR0SvF0hzzQ\nskSX4hFU6RJ9gWMz2MH3pDvfCZLvi7YqDh0woQprMrlS1eEPLK5rNYkGQGhPznOUJvo2FTai9OQv\nfgIf+f2f1trXla4Spm5A1L/Ew3c5HitNMtiUyXXhWjIhzwad3qUOapQuFS5LJSxkaypNgL04iQZC\niKQJUKdNND4HzVRNoiJ+oUWJlyLxJIlFNejBZMgDW4qnky6xCUzoVMmnIF2/qTfFKwRVWTzVhZgy\nFYOuNLHIUibgWJp0hkA4SBP5WEZVEyWWKExdhkk53tBglrrs7vEvVF1HjdvgY50Z32PEWY6ORaqv\n6NHfXY6NNAFu4sSTJqBzgh4gT5ty+wlewyGTKF2ibFUDkSjpCBIrRwReumQ65AHoLMWTpUs2smQq\nSqH7jyJ2xJSpWHTGjgtL8wQpExBemlTwlh+oKvXo3u9xQpfjyfZlBUyWapmkYyqC9lo4pkt9I8OF\nyVLh6dLIcOHpEo3L5Ly+nQO9QR/0Ywwm6LXv2z0yGm3fftzxpD12KxLRRD/R79v3vfnpQs+vFyCy\nNDV8ri1LzbvrbVm6NHKuvQGZINHb7MhkbuOtuWQ75EEkSwT6c1qWLj467l2W6Il5l8432luvUfWJ\ndFU/Px2qPDGP5sLUqHBKoSol403NI0yfG1VOziPrjokWbZZN0ONBJt1dnhx1lqUnf/ETTo/XJSZM\nNcW1HI+kS+RjOmUyKc0Ljak4mV4wA6hs71JQWapwOmabNBFMEydZXxPAT5sA/cRJRehESvs8qN+1\nmESFQ5Qo0WkSmyLNjkzmPpemTI5DHtqfU3K0uLIhlSUVtqlSLwoSD5NBAUUSUyZ9lq+tev058pKm\ni1OjWDIcAJE7ZqCkiaZOiRKLl4QpSZLXJEnyrSRJmkmS/Arn/rcnSfLXSZL8tyRJ/u8kSS5S9x0m\nSfJXx9tnbc+hagMfbKbr8RIaXrokkiVeOR4vXaJlSYcqrM1k+5d4m8SiKr1LXiHJUckJki7J7r7z\nOk0miZOsD65/5zBI4qSizESqjLWfQlOF96nXfeFjAPiJEoHIEJ0ikdvJBmRyRDZ2zSVZ3xIgH/Kg\nu5CrTqpkuq4Smyr5prnZam/kOXg9URF9umFdJqA+KROgXqdJJICqlAlQr9GkkzRdnhxtJ0gEn4lS\nWTjHCEmS9AP4AwB/H8AKgK8kSfLZNE3/mtrtvwJ4PE3Tl5Ik+ScA3g/g9cf3badp+p2u5xGKMkeL\nFylLbMokw3VingvOF6Ya6y5VAa/pUg0ESQSRpiISJ9EwCIJu4sTimkB1PI+GNPlMp37gH34A/8+/\n/2VvxyuDqrxPiRIlIC9KvNuB/DAHADlREpXi2Qx5kJXiAeJUiZUPlSSF7k8iYkQz83CDu86UiIuP\njmP++EJPxIVLE8C2RXVDpBKQlIlIU9WHQADidE81AEI0NQ/QGzcOqJMmIJ820beFoohpeT7qrr4H\nQDNN0wUASJLk0wBeC6D9RpSm6Z9S+38ZwE95eN5acTSYv8hhR4qz6ZKuLInSH9dkyWViXlWoa7rU\nzSPEbamTOHXsX5BI5Z6TkqqiS/sqSiXep2RDHHRFiZWk9u2CUjyCasiDjOa6eJpcaEki0qM6T54c\nAZkgFcHi6lbH4rWLN7cwfb76F9+ukJSpzhPzSBlbCHEKmcD5Ls3zLU3dhA9hegTAc9TnKwC+V7L/\nzwL4v6jPh5MkeRbAAYDfTtP0P3g4p64jhCyNnMr2294faO+jOzGvlmjIUDIyXAlp8kaN0yUerv1N\nQCZOOv1NOuKkK03cx5eUSPWoQFXufcqXKAF26y3xkpZL5xsdJXnTU+PCsjx6Hxm2ksS7jYiTKD3S\npbl5UoooE0JbLsyckZZAdSN1lybAvzgRWQrRh6bqIbOZmgeYS1Ov4EOYeO++3JqRJEl+CsDjAH6I\nuvlCmqY3kySZAfDFJEm+nqbpPOexTwJ4EgAuXLjgftYOHDJ/2D8aZD4/xd7vli6FlCVbZGV5QPY1\n9u1W/MJMUI5XpjTFUjw1RaZNgFycTNMmHUKLVI+mT5V5nwopSjSsLBWJqyCJxGfh1kn/kUtyRMsi\nTxKrQp16g7phAASND3EKKUsEUbonKs0DAkiTJGWSQRa59pVEhS7L8/EOvALgUerzKQA32Z2SJPlh\nAL8K4Ik0TdtXqmma3jz+dwHAlwB8F+9J0jT9SJqmj6dp+vjkZP6NJuTAh7L6l2SI+pV8y5LJOPKi\nhj/o0lGOZyhA2uLikViKZ4brUAjgZDCEzoCIvt0D6RhydvMNGS7hc8CE7kCJH/iHH/D2nCVR+vvU\nj3/mX+fGghN4gxyATJToUeFs+R1ZZ4knSwAwd7dTAuYkyU3uNs4gBJ3hCCajwNkBDDMPN9qbCJ19\nuo2qTsgToSt5F6dGa7EG0oXZs215MhkMUYQs8Z6v43bJ91iVgJoMghANgdBhfm2Lu1UNH8L0FQBX\nkiS5lCTJIIA3AMhNEUqS5LsAfBjZm9Ad6vaxJEmGjj+eAPADoGrKq0jZ6ZLucAdAX5bo22R9TiaL\n4lYejWEPZUiTN+p87gb4mKZHoyNPsol6NDyJ8iVSRU3m6yIq8T4VWpQW7rQ6epcIM2c79+eJB09w\ndMeBk8f7kqS5zVZ7C4Go7yliR93kzgS2tE1G0bIkeh6SiPGkifTW+ZImQDw5TwRvYh49fbNqIuVc\nkpem6UGSJG8D8HkA/QA+nqbpN5IkeS+AZ9M0/SyA3wXwAIB/lyQJACynafoEgJcD+HCSJEfI5O23\nmalFpVK1dMl1Ep5rGR6LqiwPyISxby9fDdNfzcF0XIg0hS7RK7sUj1fe5lNEQuOjt4lFVran6m+S\nIZImm7I+VprKmMhXB6r0PuW79A4Q9yxVAd1yOwIrRzNnG1i4fSJN7PpRtrA9XHQfU4ieJluWV7a6\nWkS6jaJliX1u49I8xeQ8QK88T2cIhAgiTfRUPdk6TjxpIscIWZbnZXXSNE0/B+BzzG3voT7+YcHj\n/guAV/o4hzIoo3eJxqcsjZw6aA9/YJ+j7tPyuOV4w0NGI8V99jVZJ1ceS/F05ILsUxdxCiFNgHxI\nhIs4sbAi5SpQvuXpB5/4Xfz5Z/9Xr8cskrLfp1xECfAnS3ObrQ7poAcgtG/jSIOpSDQ3W1aCxEJu\nI+JkI03087CPp/uYdIZc+GBpZUvZE3PhsXO16mPqdcqUJdJDJhq8wRsAAYSRJlt0xEkkUvPPhf+d\nreDVrRku/UuHg+L7qp4umfQr8cvw9jByao/7XK5lebwFeGlIWWNf2dfhhgJiIzrJyHDHFhSN45tK\nRTp0KoiIhMB3iR5Bp0xP1uNkg2sJH93zFKJ8L2KObukdkE+VZOV3Vx5qaMtSUWV5KthSu5mzjfYm\ng9yvU6ZHPwf9PEVyYeYMd4yzSXkXgK4aplBnLsyeFaY1ZcoSQVWaJ8K0PE+FSz8TkC/VYxfAFUFK\n+VSLabvgJWGqKkVOgCo6XWIxGe5Ai9LIqT1s70vMEfKUSacsT0U/39v8oEqFAiRNQaSoAlPx0qFT\nMW3SmK4nkibbFIqWJl9jzEOuARXp5IlPfyonSgRWkgB1qkT3KOmKErsGUxnoJEm5/ZmhFeRr5aVN\nPHkSHX/mbANz1AK+vHStSsSUKeID0dpMBN2kCUCw0jwWk1K9IujZd81uSpdsZUn2GJNFbnXQ+Z66\n9kuoppwJ8ZA0BU2QCi7FUz2+TmlTKHSm6nU8hkqhbNMoX4MjbNOnH3zid52fu1dRJUqAXqoEQJgq\nLdxudWz9e1kJGr3x8DktT4QsSZq728ptM2ca7Y3czzsWL6XSTZLodO3S+Ubua3P5OkMQU6ZqU4X1\np3ReI7KpeTpJk84QiJmzYwDckyaCaeL01nd+ysvzsnRtwlTm+iJFp0ssohI8X/haxPboFL8sr3+3\nhEZzi6SpUgQoxdM5VtUTJx9rNskwWc+J+3jLHijf6z/F9CkstChx73cc6kAnSDb9PT4XsTWhQ4LO\nCFIhIk2c70OIMrui+ph0iSnTCbwSRwK54A+NTv9ZWcjETTYAgqCTNJF+JhkhFrUtO3HqWmGS0c3p\nko0s0WV5NsMfRGV5rovXFi5OhtJUCBUoxZNRlzI99hxDTNSzlSYgX8ZnIk9FLJwbBcodlSgB9uV3\nRJZ8TY/zhWzgAy1KIkniMXOmgYU7rfbjXaYC2g6PKJNenphHixLvQn554Y5UpkSYStaF2bOVXD/K\nJIEUDYAgEGlSHifgorYyyhKnWguTaOBDqHSJXYNJh6LTJRaeLJ0ezKTg3p78Cxoa3Mfunt8Ly6NB\noC9kzxLLyLDZorVEUKogThUqxdM5dh3EiRBCoEQleqYiZZM6+epz4h77WKCiOPnFV6rk86LfdFpe\nc71lPQxCJkrX7nWWw5HvE3kcEScbaSKjyoEsXWveOvm6qzRSnCamTHxR0rlPBC1ZvtKpMqVWpyyQ\npEwqaQKglTKppAmAl34mHqw4hZamWguTDWWmSypZYnFNl2SyRD4m0qQz/IE9N15ZXmVHi5tSxbSJ\nR8GleDrPUydxIvDO2df3zbZsz7VcjxCibC+iz+s+cbXjNpksqVIlnfI7trzOliLK8oBOQbo8mf+6\n5tdauHavlft++UybCOx48ebKRlue5te2OhbZLINeTpl8Q2TAlziVJbWm/W060uS7NC+UNAGZOBWx\noG3PCZMtNumSKb7TJRZalmTQZXl0ymQ7LY+3eC3N4aD5pDwfje9KypSmgkvx6It56+EZx9RZnGh8\np1D099VEnlzXegqZPkXM0ZEl21SJiFKVp76JYCWJvY9IE2CeNokm7uly8dFxrdHGi6tb2qOXbYgp\nUxhMxenC7FksNW9Xqo/JdOiEiTTJmD43ikWd0ryA0lSELAFdOCVPVo7nM11iF601RVWK5ztdEsmS\nrkTx0FmTqfZ4LIvTfj5PsqQ70Y69eHfpxWGfv5sgazz5WOvJZcqeC2TKnq9pexEz5tda0gl4qul3\nAF+WFm61gsqS72l5usy9cDKJ6/Jkoy1VbCJFpumxk/bIRu/TfszZ/Dhy3pRAE1RlSTTLjhfbVZ2Y\nZ3JequEDZXBh5kxbnhZvbln1RBXN8sqW9YQ+ndfg9PlR5fpMgHxqHuB/ch5LET1MXSdMISgiXQqJ\nfrJEr8/kNmJcd/HaQnBNYoqSJl1RUnw9JqIkkiPZfSYEH0Nu0p/mGVagbCSqLHEiRIEqDiJLLPQC\ntDxoURLJEpCJUghZCr2ILcvcC+vtjXxOQ8Tp2r2WUJx4m4w6jRevwvhqHkSWdM6PyJLOAr5EXGx6\nlGxhxcnosY+dK0xofTzPxalRrSEWrqPGgbw0hRInQojR4rUtyRMNfBARsnfJ9fGh0yWWB05lAvXC\nvrkIyMryXDkcTJzXYgIClYKFLM/zmCjpYCJCvkr12DI9b9P1yFCPiox5p78mE1G0KddzLdXjoTN1\n71Wv/h386eff6e05ux3bEjzd8juAnyqxvUd14vJ4XsjmNrILMXraoKhMzyd0v9bFR8cx/9xGu49p\n4fZm+wIQUF8sdis2ogToyxJgN9DBBxdmzkhFoQrjxX0JtJfSPI0hEOR3hpToAXAq05tf2ypstHht\nhYlHiOl4dU+XWIgs0YiGP4hGjNOYrMkkWndJhalEBRt1HWKCnkyWNCUghCjJHu9DnMjH3n5OJGmq\niDgB9mtAmQ6JsB1JLqN/5zD2O3nglR94BkA4WRIlSkSWqjLtbU5S7nbtXkvavwRkAjW/sdFOm4g4\nkcfxhkKImDnTwByV6NmMF794cZz7F/KQ/UtVJGSqBJQnSjqUPV7cpRSPRXt9JskACEBvCATBtzgV\nQSzJ8wy7aK0pRfUumUI/L3tOBJuhFVVb90oLHyV6ql4lzz1KvvqSQhzPK9s7+a0ClFGu56NkL5bo\nuSPrVwLMZYn0KonK767fbOH6zWwsdmhZYsvyVKVrrgvMXh4fbydPvDI9ANwyPd1zmnm4ketj8lGK\np9P7UUeWV7a0ZWlpZav2smTTyxSyLC/EsX2U5gGZNJmkrTNnx6xL9Yoa9kDoGmEKMeyhbumSMExJ\nNQAAIABJREFUSpbYdIn+3JdYsbDrUJWG7+TBRZpUolRAj5IPKi1OBFagKtLzZIKNOAF5ebIVqNjb\n5B8XWQLE5XdlpEqsNPH6nVyge5kItDTpDoUwhf46pqfGneTJ1/o+VYEWJR1ZAjJRUskSPWShSrKk\nOhdeMhOyz8wk1bM6vkSayGvZxxAIFltxEpXjheg97BphqiKusmCSLpnKkgzT4Q9lTsvz1fxuhak0\nOaZKVRGlsp/PmQpIVJHi1H68gzxFafJDKFkCEDxVWlzZyG1FMTs23ilHirRJNBSChh01rsPFR8cL\n/6s2y/K11dLWYSqiBK9KskTDS5mUC796ToJCy5Lu1DzlPppDIHi4JE4ElwW1ZdToKueEv1m8jVf8\nbffj2KZLriPFdTAtxaMxkaUHTu22hz/QvUw65yca/mCyeK1NT5MOwfqYWHSHQTiKkg7OPUpU/4vN\nRbXPtZwKhydNBfRD2fQ52S6EmzuGxcCI2NfkRmhZYvEtNfRzFDVSfHYsu+iZHRtHc5PTw0SkSWMo\nBOGx0432orft57LoYwI6Bz90MyYleICZKAHVSpVYbIY/+F4zK7QsAWaj3mUL2gL6QyBE0D1OPMr4\nw0UthYnFthyvSOgx2/QaTHTfjyipcZmKZ5Isscc0Gf7gAx8T8kpBJE0ept+pLqR1L5pNhwGQ/W0T\nPJ0BEV6ENmQ6VKBE1UWcYtKkz/xaCxePPy5LlkIkTr7/evvY6QaurakHPxB5IuKUkyPFUAgCmVhI\nM3O20f4ZzDzcQPO4R0yFaPBDt1G1wQ46QwVCDd9YvLnVkbCohj8sr2x5SwRDyZLp9EIyNU9XmmwR\nyRKBV44X8o85XSFMRVJEuiQjxJAHk5RpaHAfu3vZRR2dMplMy7Olf9ex9I+MoA6BTU+T5OK7LFES\nPT6EOBWWAvoksESVKU4+x5NHTug2WbLhylgDc7dbVoMfmttrAIDZkcns32Nxmtvkp01EnGihotGd\npnfpfAPN4wEaVcFnYqH1fIapEqC+4HZJlcjFtyyxWL6+rrxItxGqMlOmkAMkTCSXxkiaLFMmgD85\nT5UuhVonrmffIas87IEux6PTJVNZsk2X6OMXnTL1BA6pUlGiJDpeqT1jVYWVKA8CVYY4RWnyTyhZ\nEl3EL65sBLvAJ7IkuhiZncgEw2Xww9wL6x1rMLWff3utLU2AW5le+/nuihcMppmeGkfT4/f2wuxZ\nLDVvW63hU1T/UsgSvBCiRFDtIxIqXYkqOmUKWYpnK0sEnfWZCLaleSKKWnuJpvZDH8oux6PFix4p\nTg98sC3HEw1ZAPzLksnEPJ0R41XAdP2bQlCkSq6ydDQ0EPSiN/TxjajI2PAOPA6UsJmsR4ZD2I4l\nj/hh9yD7Xopk6cpYQyhLsrHhZcgSIdRfblXMjo1ngrS91k6c6NsBzvAHwTQ9wsyZ/PdKtlYUje7g\nhzqPFPctS7YT8BZXt4xkSYcLlyY6NvJcysc6TMyzSYlCyRIZ9a4zvVDF9PlRrVHjgNkQiIXbm8br\nMrEJ+Fueumr0eBW1FybfVG3YA8HXkAdTRBPzIoYoxoWrREklS0WLDHm+yshTlfEkUEWt56QzSe+H\nf+i3jM+j1xjuH5DKEo8FSf8MKcMrg1BTp0TwBAeg+pgE4mQyTY+GLRVsasoTIO+zqNtIcbK+kunI\ncBk2E/BYUfKZTPAwkSbAfGKejfCElCXAPlUSEUKaeJRVjgd0sTDZrr1kQlHpUhFDHtjHmqRMVUGr\nFKmAyWcmz+maKlVBWqpwDrXCUaBcxMlo/5g2eYeU4dkiS5dCEXoi3rV7/IEPRI54t9PixHsMT5x0\nmXlYP6Uz/Qu4C6QXJlQ/i+lCtLprKwHmqRJQjCjR6EqTTcpEMP3Z1UWWdNdn0pWmqg17INT6KkdW\njldHeOlSiCEPpsReJgccUiUZVRSUo6GB4i6yq1qOZwP5Wgxlvog+p9jX5B9ZuuRCyCEPZZXi0UJ0\nfTsThksj2UXkydQ8/lAI3jQ9QojBDxcuTWDx+nqwCW30xbNqkIBpv0yIEjzAXpTK4sKliXaPk+rn\naNrLZDIAgqR8vgglSjS6/Uy6k/NMhj2I/p/yLVE9907oa+0lXymVSe9S6CEP5BhkYl5VMRltXNok\ntoCDHeIFrCdsR8GHYnvHKgG1FacoTdVDZ5x10RQlS6oyPML17dW2NJH7m5sb0ml6VRz84ILqYlpX\nqEKMDDeVJfriuUxZos9BJU2yiXmygR5EmmRC6ztBLEKWTJFNzlOtu8SmS0XJElBjYSp72AONSzke\nQZUuFSFLLPSIcTpl4hF6pLhXTMaLey7hcxkXrnvR6ntx0cqtveOaLskWGi5boiylCcjEKdSgkyhN\n5SIb9hCKIkpcWESlcyRdmn0ou8Bq3hWlTRsd0/Ro2MTJZQHb+bUtXJ50S5N4o6h9IBOg5WuruYvy\nECPDdWSpaqJEo5s08VImguxnK5qa57tvqYqyJIPIEp0u0akSLUsqUXKZ1ikivgNqECpd4qHTG+Rb\nlh4cyC5Anz8Ybh9PljKpyvKSEuXpaHjAuFejg0B9TqFSJd+CJDu+Sp4KLcszQSZJNo8NKVEFSZNJ\nygREaXLFtX9JRIjpeGWW4gmTpocmch83765rl+kBJ4vbiqAXsM2OIR7AcfHRcSw9d3KshdubmDk7\nJv26WFSjqENhcjFumioBalnyKUqqXhfTnwmNSppUKZNtaZ4PWaq6KPFK8nhT8WxTpRCyBHTh0Afb\nYQ+2ay/R6VL+ueyGPRBk6RKNrSw9OLDT3mTQciY7DxF9u+X3mRn91T3KkpTD4X6r53RZVNWand2T\nLeSxQxzfYaKe6QjySHhkay4B7v1LPilSlq7d43/dooEPuX0emmhLFBEn0eN5EiZ6bqDYwQ+yIQFl\nQQY7AGGm4LkOdFi4vdm+wBZt9H4qsZKdJyAeBHFh5oy0b0f0s73w2LmO0jtffUtVlyWC6udfNVkC\naipMaYnX4DLposvxTJCtZeR7yINMkujbQ5T49QVoJbL+izdPjComS6rpc0XLUiWeu6rDHkKKkwWh\npKmS6WHFUckSoUrjxItMlngT8oDOCXgAsLKz2t4IRJyub692iBPAly/Rc/K4dL5hVJ6oO5oaOLmo\n9SVNtOi4HANAkCl4Jt8bHrT8qESVJ0822Iqdzs+WSJOPviUTya06vmTJZHkAHWopTL6xXXtJlC7p\nIBv2IFrvyLYUTzdNEhFiEl9/+OF+QSBjwE02ES79SmXKkk+CLS4cQl50n9f3cxcgiVGawqLbFyOi\nqHHiZfQtAfoDHwDg8unsApaWJgDctIknXbznmrur93VPT41Lv0c2F9e+pIm+WCYXz6JN5xgyyEK0\npmsrAXbfI1aUTFM9H9JkkzLprM3ko2+J/ZmWUerpGx1Zaq630Fxv4dL5Rk6WmpstNDdbRkmxDl1V\nkB567SXddMl12AOBTpdsZMlGkB4c2NHuZfJFv3mlnxSrPiaNdMnXxX2dSvAqRVXTJR60NPnod7Lo\nazIdAmE6OS+iRrZIrS989S8VVYonkhOTtZKINM3fy+Roavi4h+m4twk4mZ7HPgfbx1T24AfAvZ+J\nFR3Zhfpy87a4VEwjmSh6ZLhuoqTi4sVxLC1tWPWbAeqx8bYDIAA/fUv08ZdWtqSvpzITKJuUkbdw\ntipVIrL0xqev2pwml64SJt+UkS7xMJEl2xRJBT0xr45Ix4sXuJhtTJUKoKx0SQQ5H1dxqpg0/cj3\nvdfoXHqN3f0DrQvvhVvi4QJFUfSQh5kz+l/v9e3V3MAHmsunJzB/b72dNhFxYkePA50T8oDO9Zhc\nBj/4wGZqnmkZlu3Fsslgh9zjPKyv5GuBYCJNvnEZAOEKT35lr6EqyJTrsA9dWfJN15TkhR72UFTv\nkqgcjyCSJZeSO96xVM9XJZz6mDQvQH2kS1GWehwf5XoWKZvpOmRxEER1KHKceNET8XhDF+ZeWNca\n+EBz+fREO3ECwJUrmz4m9qJLVop38eK4dbkXwaY0r6ieFZvBDoC7LLl+T3m4/KxcSvNCDfe4ODVq\nJNlkf94GZAkku4XG5OdhKktzHvuYukaYfGObLqnK8XTTJZ2JdK69Sd2Mz6lsurJ0NDwg3YSPCyBL\nh0N93rZKUKdyPBWu0/UKkKaIO0MD6v+DXNIlX+PEffUtyY4jumgxGb6wsrPaFqPVvRvtjd2n47w8\n9DGFnLxFYyJNRcgS6VUCzFIlwE+yBPhLl9hjusiYrKzMZmpeVRBJVCHPbfBz5vUrAXlZmttsYW6z\nhZmz/n53K3I1VA51SJfocjw67QktSd0oYcEGDMBe0HzKUuUkpwyqVo6noqLSFFOm8FRhlLjvUjyZ\nWJhcuDS315RJ08yD2RpLRJrolInATZY4vVImJYK8wQ8+y7xUAkQGN+hMsXPBJVVaXN3yMjo8FC4/\nL9nXJPs+1X1yXVno/EFn5uFGhywBZv/n6NAVPUy+hz2ESpd46KZLZZfG1bl/yQUdybKRJZ0yQl1Z\n6npB6qZ0icfOrl1/k8MCtzqYLmwb0YfIkixd0hknrrqYkCVQPmVJN6XipThzL6wbDXygU6WZByex\n8PwaVvdu4NzgI7n9XPqY5iyGdbgsksqD18/kM1WSJSGEslIlgu90iRYl15+XaEFbwG0ARF0hUxOl\n+xyLtCkm/0eFkiXAU8KUJMlrkiT5VpIkzSRJfoVz/1CSJP/2+P6/TJJkmrrvXce3fytJklf7OB+f\n+EyXdBeqJYjGeZed/mzvV+8iiicgrhd7oRKpOslS/y7/Ndu/c8i9XTQ9rZDEom7pEk1BSVOv9zNV\n4b1KR5YIMuGZnhqXbsDJ2F3eRo7hiumCkaYDH7jHOE6X2I8JvvqYAP9ruejAK83zLUskOWI3wDxV\nAvzLkk+WljbasjRzdsxZlnRSJp6Q+l53qwiqLHfs6PCQsgR4SJiSJOkH8AcA/j6AFQBfSZLks2ma\n/jW1288C2EzTdDZJkjcA+B0Ar0+S5BUA3gDg2wCcB/CfkyR5LE1T/tUYB9/DHnykSzQuo8QJRZbi\nmbK/Vz15kiGdlsfsp4OOlJkMpTAtwas7sbeGoqCkKeTkvCpT9nsVYCZLrhQxxMFUlmSIBj6IJuSJ\nWNlZbU/LIzS31zA7khcrXto0d7eFKw9RadPDDaPSyWXJ2GlTyHQ1+uLaVZZ0+pFMRQnwL0s+y/Fo\nUSoK26l5VWW5ebs2JYW0LOmur/b/t/f2wZVed53n90jdrXbi2Gqp7X5JW1LLak+GKmoD1ZNhoQqG\nEAZ2/iDZ3ZANtCeGJHjDZsxW4lAJY2ogKbwTz5JJkeAK8YIhJr0OJhTEU7wE8sJQSwgTT8bgEEK3\nWi3Jmn6V1LKJ063ulp79495zde6555znvD7PeZ77+1TdsnRfH13Jfe/nfn/ne2yJ8Y7rNQDmi6JY\nKIriOoBPAXi9dJ3XA/hE9+tPA/gBxhjrnv+poig2i6I4C2C+e39Z4JsuFYokKbRKHMhPlmSKG81/\nA+9C7DeRwyZLVrR9HE+GkqaU1Ppa5SJLNuN4ueAjS6deXHcqfJBZ+MfBIgcdsdYxHT08UfnGvuKb\n1Cpkyet+EyVLoeN4cqpUB00ugGg6XJZcEu0yYrzreiWA54XvV7rnKa9TFMVNAC8AmLS8rRdNSpf4\nOF5da5du23Vt4OSDaa1WXfhITcx1S7bpUo6ylHocr/RNu4sENHkcT6ain2UIpam21yofWaqqTtwX\n63VLmpG2M5cHzxc3mp2/soajtxzsbUQLAGdeXB1YqyTL00C6dMV9gf/sgYmgOuLlhUvaNSyuxCh3\naJoshRBz/G757GrvJJ9fRlsKIGzEzmY9nO2GtWcuxxPJmLIExBEmpjhPNgjddWxu27kDxu5njD3D\nGHvm5rWXAJjH8UJpY7qkEiNfOeKYxgtzxSREMdctNVmWamfYkiUZH2miuvEykr9Wia9Tmy+9iIXz\n662UJVsWzg+WJyxc6i9ZAIAza2u98bj5K2sD43PzL6z2RIhL08I/Xu7J0sE9r8SZF1f7ri8WPszd\nckefOImPJx5X72tF6UOVe2LFpGmy5DuOl0KUAPRGLGVxshm9rGtvptjYCJ7N35ft38r0XdXuCWdL\njHdfKwDuEr4/AuCc7jqMsV0AbgewbnlbAEBRFI8VRXG8KIrju/a+PMJh9xM7XVLhulGtT7qkk6JQ\nMRIp21y3Lrw3sO0Sc92SLSllaWsPKz25okuXouL6xr9N6ZJIRdLkQsNTpuSvVeLrFPa8DEBHlMpk\n6ey59cbJEj9O3fig/DMvXNxZH8Sl6czl9Z64qCSGp0xAvzQBHUniJ05ZuiTfv5xyieuXgDyq30NI\nIUuxasNNuIzjpRQlLkXi1zbpkgyN5sWh6pFYmRjv/L4C4Bhj7CiA/47Owtgfl67zNID7APwVgDcC\n+EJRFAVj7GkA/y9j7D+is5D2GID/EuGYtNjsvRQjXfLdqNY2XYopQDbctmdzaKvFRWKN4qUSJR8J\nUqEbx9MRfRyvAooAuWAJ67z78CmCoBIIHZW+Vu0d3WUlSpymiJLI3P7ydT0L59dx7FBnxG3h4jqO\nHZjoW4x95vI6jt2xv7eZ7LFb9+P0lVXM7bsD81cvdxKnfQf7GvPENElGHOEDMJBWnVnrlyg57Vq4\n2P/zyL/DWBsGpyaGLOnGqFKJkm26FLMenCMnSip8Cj3aVgBRNy5rJhcurUcdywt+1SuK4iZj7N8A\n+CyAUQCPF0Xxd4yxDwB4piiKpwH8BoDfZozNo/Np3Zu7t/07xthTAL4O4CaAd9q2DsXce6lJ6VLV\notQGtvfuKv1kvI5RPBvqkKVaqSBdChEl3X0kFagMpamJ1PVaJdN0SZKZ2z+B+XPryjcyc/smMH9l\nvU+aOAuX1nHPnRM49eL6jjSt7ezJ1BGljjRx5l9YxdztBwceR0bef2n+Sn96ZRrHA+C8B1NuhMpS\nnWuTTOlSXaIUdP8W69ly35vJ1JIXc/1STI7dPhG9JS/KO7uiKP4IwB9J5/074etrAH5Uc9uHATwc\n4zhiEDNdUhGSLsWSpX27X9JeduVG/HHH2GztHQ0eDRPrxauuEE+xx5LXeN119d9zY/ZecpClGJJk\ne/9J5CkzaWpqylTna1XbREnmbIk0ccSUSZQmzpm1NRyb7CROPWm6crmXMnWkSf1GXkyXVGuhxHTp\nzOX+tVTHbp/oS5cWzq/30iXV2OHS8+5lElXQZFnSkVKUgHSyZINYH5+jNE0fGS8dG4y5filnmveK\nF4DNOJ5IaLrEx/GqWLukwiRGObG1BxgdLAjMiirfHPqsVWoSUcbxMl63VGn6VEZiaSLKcRWlxZXO\nm8Mq9lGKBR/N4z+rLE5z+yYw7zCaJ0oTRxzNk8fuRFTpkohvuqT63d19h/4N7uK5jWhNeTbEHMGr\n482tahyvzaIk0oTRvFR7MS1cvBJcIV8VzRQmw/vJkHG8mM14KkzpkgqbdCmlFL1i1zX8480a3+x5\nsD22S5l46Mbyqq4QL0uX2i5LRmxToIxlSQUXqGBxqmhjWyIOmzduWjercUkC7NYF5Yj4c85LiQwX\nKHk079jtEzitGs0bEKX+9Uxl1F32wNetiONKKeWpLanS9PRkEknipB6/C6XJKVOO8H9fYtFMYaoA\n33TJVPbAUaVLfBxPlS7VIUvDQE7rlqoWpcaO49W0ZikGxdVr9UmTA8OwnqkKxnbtKpUlWZTqZnFl\nLUqy1SdP3eRp7rC0nuniOmYPCK15NqN5XWmyOoaSKvF7bpswVomL43im383S0pryjb0oLynlqS2y\nBCDZRrO5ixLQjJRJx/LCpei19UDn3w7Xf48WhH9XgI40PRvpeIZGmFzH8URC0iU+jheSLqmIIUu3\nj17t+/6FrVuC77NtVFEhPkypUtXteLnIEqc2aaKUKRtESQLyECWRWNLEEcf1uDRx5NG8e26bwCnD\naJ68JsmGmOmS/LuzJZU8tUmWgHSiBOQtS01g+sg4lhRjeTOHx43FD7yCPhUL59cxe6jz//CxfWEb\nTpfRql0wY43jhaZLJmKkS66ydPvoVeWpTkIEFnCr5ea4yk/MUbwY+O6d1AhsxMYxXcpNljhRjivx\nHk02Yvsnz37A/RiGmMWVtd4b7rn9E71TjviKgQ755xQ3tOX7M4lpj7g/E8c2WVLhWyWuKnvQ/c6W\nz65ab2YqnhbPbfSdbCFZ0qPbT4lIh646PTZ9a0IrbrMcioSp6nTJVPbA8U2XTLJUtwSFsrWHaUfF\ncsVWlkLTpZiiVNc4XlC61BJZikripIlG8+KQ29idLUmSJtVonkXVuDia54JcJS6mSwuX1vvSpWP7\nJpTpEv+dxZZIjip9KkudQmQpRJRs90lyIbYocXKQJJtK8aahKn8oS5lCEP8dsl3fKY7lPfXACbCf\nuTfKsQyFMKkw7b2kvY3DvksifBwvNF3SyVLTRSk2uuIHp/uoYBTP6rZtTZREyuSmhbIUZTQPoPG8\njLl+/ab3Jqdz+ycwH1lYbJg5Mtk75vnV9ejSBKB0NM+0nsmHFOlSqkpxsSxC90a7DlniohSzzUy3\n9suV3CSpzfiWPyyfXfUSdJ8CnJRjea0ayVNhky7ZjuOZsCl74PikS1XJEhVJVDeKV5YupZAl1wSv\n9rKHhjXiuRBN7BI+R1WvOWsTNqUPOZPi2MX7nOsmOvJonog4mndmbW1AfmwJrRJXpUumSvEQuAip\nPrEnWdqhbWN3y/MXs2zIc0E1lpf69zKnSYZT0JqEyWX9km26lKrsgaPaqLZ3mSBOsWRpfPRbyvM3\ntl7mdD++bO8GRjJ//xVblnzSpVSpkkmWdON4sfB6493gRjxbakuaKGUiLEiRdPHRPF3VOKAezeux\nib7acVtCN6qtUn550iSyeG6jthG82LLki5gmAZQo1YFv+UNMdJtkp6Y1wqQitFhAJFbZgypd4uN4\nqnTJR5Z0YpQjIRK1tXdUm4BoH0+zH5PTfUSQJV26VLUsmUTJ9bn1IqLgNE2WONGkKRG0lolIPZon\nVo2bRvM4cmLkQshGtUBnHC9VuiQyNXsnFgVpanqqBPjXhtPYnTvLpy4MnDd1T/keZsGPq6gYnzk4\njkXPsTwgfB1TLFohTCHpks84XkjZA8c2XVKhk6UmiZKJrTGG0c3qyx9irlvKBd9UySRLlYzjtXDd\nkola6sYpZaqEpefXMH1XM3ayBzrrmOaFtVcp1jP5VI3HxLVKXCtPAWmJC8MoSyRJ/nBZmhJG/JZX\nNnbOjyBOMcofFi5eKf07sxakCurF2/cOsUtouiSO4/mmS6ayB45rutQ0WdoeKzCymX9xQZWjeFWl\nS1XKkonU62CaLktNgFImd67fuJmsHKBqUkoTRxzN60nTpXXM3jkxUNTgS+hGtarfZ+y9g0SqrAwX\nG/BiyxLH5rkiUQpDJUvy98unLgRJk2/5gw82sjS3r/9Dl1Q0vvQhxdolE2Xpkgk+jheSLqnwkaXx\n0ZcwPhqv4EH8+cvWd1VBir2RUq5bisno9aJyWfJKlyKITptkqU0/CwGM7RqtZHSrKlLVa589t7N2\nSCyB4MgjdKGEblTLf6dVpUsuLF7Y6G0U6iNL09OTSWTJtuShVSUODvsSLc9fjPOYGllKhe1xc4EX\nUVXUn7mslrCq20J1tDJhsk2XQtvxVOmSTdkDJ0a6ZJIlWyEaH/1WZcUPOSCvY6pyFC9lumTTgJeN\nLJmwHMdro2AEj+b51IxbQikTETtpsh3Niy1NsarEU6VLyx5rl+oYwRPf4Oo+HLAVS9uNf13weR5j\n4rIHU6yGPBtZmjoyXnnKpPq7VP3N+YwvV5EuAS0VJhUu6ZLtOJ4NprIHGVO65NKIFzM5SsH2HmBE\nejq29gCj5U/RAD7FDz7knC7ZVoXXIUupxvHaKEu14LmO6U+e/UCCg2kfuk9Mc0dexySSSpo4qtG8\nFIRUicsSEOPNvpxIuKwHqVqW5L/rMlkyiaWYKsVAfB65sCye21CWEbQJVclDSpZWNgbWMCmr8BXp\nki2qcbz5VXVDHl+/lJJGC5NqHC9mM56MOGompks+ZQ+qjWo5crrksm4pd1lyIbT8wbSBrUtbXixZ\nip0uxRAlIF3Bg1GWAoSHZIloAps3O/9f1Vn4IL7hiFmLnUSaVK15XWlKhW2VeIp0SblnjUMiweEj\neC7ESpWA8v2oqpAllWzK31dVeV0nLqN4MVIm5f0qpFT++6xiHO/Yvgk8+cAJr9vqaLQw2aJKl2Js\nVqvDpuyBw8fxdOlS00oe6sCUMtlI08i1m8FjeVUmSy6bz9YhS0GpUsk43jDIUu4144Q9ObTjHT08\ngbPn1jG/qi8z8MG2vcoFeTRPlwKlwmejWpd0qeyNfRWEtuDZrssrW7cUQ5ZUaZKOmcPjWGxpyhSS\nLoVIk6opz5amjeMBQyJMLriO48Uqe+CI6ZKrLJnSpcmR/svWtl9eeix1sLWHDQiB6rymESNdcn0O\nfGUp+Qiep/QMgyzlDq1jsmfP7nxeXrk0xYZvbFuGzafEA+uZhJrgFIhlDy4b1doWGHBykCROqspw\nmbJ1SyGyFPp8tnU0z6foYerIOJY92+7kNUyqjZXbNI4HkDBZU9b8FqvsgRNLlmRRisnYnhvYvG73\n5ml7T4GR6/1ysDUGjGocUjWOtzU2opWA0JQpBN9RPMBdgmxIkSoB9coSQRBuhKY/pnVMIjaplY1U\nAcDckcmB9UwpmRNrxSNtVJuTIHGqqAznlK1b8pUllzRJR46jecvzF4MKH5ZPXQhuxUsxmsdRjePJ\nf4NnLm8o06Vc2vE4jRSmb7vrAEKWkrtUkasw7b3E8Sl7UDXjicSUpcmRl2pJmbZ3AyM3ys/j1LWJ\nrS11V4jLZCtLNqJkGMejdCkfUu+r1RZmjvh/6hkiO/y28iexRw931wlFHMuzxUqqVvsTnznFJ8lN\nIQdJkkktSkAaWeKiFPM5TZ0yuVSK101IyiSSeuQx9vivD40UpiZiU/bAcakPryNZMsHjYZZLAAAg\nAElEQVR2b6O40UlUtncXGLmhHjlzbcrjY3mpUqZUmNKlmJSJEpBGlqKlSiRL8UhYLU6kh78x8Pl0\nVSdL8nXqkKYy+HgfT5lijRCangsVixapGjFIU2SpqpSpCmmOkS4BaQogVGUkqrIHFTo5cv1/OTYk\nTDVRVvYgkpMs3bL7Oq7e6G/R2L3nJm5c7/9TKvZsg13vitNYgZFNtTipxvJ25CjvdCkHQkUJyFuW\niArwrBYn4uMrSzaixC9PUQARk8WuNIWQw6fRw4C4VslmXVfdsiTff5PXMqWoEY8tTctnVwekqanj\neABQzcffRCl8HM92vyVXWRof2eydbBBFTpWKqRoAVQUYYnEGbyNUjUSaxiS3xuS1T/o/W9OInG09\nuAtlMjK6ud13iva4lvdXmyxdvUayFAClasNHalniuHxKOyOtKUpNqMTNr673PR/GpO3KeqUNWynh\n6U1VLC2t9SVKZbLkuk/V8sIlzBweTyZLOY5M+hAjXUpxX0C8fbWAfD4AaX3CJFeKy2/MY1eKx8Zl\nryWTLNlw++hVvLB1S995r9h1Df94s/Pp8217NvHi9bG+lIkXP4gpkziWx1GlTL5jeYC5AMKEaTSv\nCnyliUui7e1DRAmIIEtlWIgSSQPRdB5/5F689b2fLL2ejyyJbyJ8RlVyTZl0zXtlz42tOOokKcbz\nwd/oV8nMwfGgNjJbXNMkjovMpU6VVI9XZ8q0PH/R73aJNqn1Gc2zrRbXlT3I5CJHKhqbMP3NR941\ncF7KTWvroIq9llTypSqf8EmZVM2CKkFV/d58N3MF4hcx1ClYHJeEimQpHttXr/VORIc//vt/X/ch\ntIoQWSpLUXTw29i8Oak6ZQL6k6aZI5PG50ZOlbTXExKl2UMTfVXE4u3q+HlzhSdJLmmSiMu6papl\nKeWonwu+DXmxEyEfXI599sA+Zd28zTheLh/stD5hSgmXA5dK8RwYH9nExvZYX1Pe+Oi3sLH1sr6U\n6bZd1/Dizf61DTxlElHVi5eVP9i25fF1TFXVjDedrGXJcvyublkaSjmidUy14CpLoamSiOveTFUl\nUrbPictzIYqS6rI5zw1yXUfNmkRZiUMZVcmSmNK4bqIao9lNJUgppS9VuiQ/Rqqa8ap48sET0e+z\n1cIkj+OVXn8sznieXCkuN+TJhQ9ldeKpGR99CRtb/RXj+3a/hCs3Oufxsbxbd2/imzc6ssTH8m7Z\nfRNXb3T+jHzKH0LG8ogdahUlIJos1UErBYma8rLHV5ZiNkXZVo3PHJnE4spacmlylaUQUeLn872e\n5Ocih5HF1FXNZeQqS6IkiSnHkuV4mOoYVM+xbVpU9RhmynQppGY89O91fnU9y7IHTquFSaZp65eq\nhqdMIj4p0+iebWxdl9YwCSmT7Sa2NnJEKVPmqRLgJEtVpkuuorR99RpGKIUhIpCDLMn3bytNqbB5\nTnzWKelkSb6+mDLJP+uZyxu4+45xLC2teUtE3SwtrVnvxaQanSpDXKtkm7qFyJJuHMx2TQ2H14zr\n5Cingogq0iVCT2PXMKVGbHdrMraFD+JaJlVT3ysU9eeqTXn5eCKg3uBXTPFs2/LklrxYpGjNs2X0\n2pbzSXcfJpokS1XShFSp7tFEIg6PP3Jv3/f8U9QqZMmmBc5lPVMqTLLE1yiFrlOSOa1Jn+TnQV5j\nYbuXjIrl+Yu9U5W4SJ7PKJ6YKNUpS77rgXgjn+qUGzmsXXKh6gbHlDRamJ770GDxA+GG3KwnFk3w\nUUFVxTgfMwTCyx9Uo5NbqvO64iQXQvjWjFeBrfz43JeJkc2bpZXhuclSVYLQBFmqBXpekuM6cuIr\nS6I4uEhTHahkSSVJNjXhgJ0ocVk6LT038v0PyJNlQiMiS5Lvm/oqcZUlF1EC0siS6ro5szx/0elv\nIdYmtTbwtrxQ2ra+rzUjeXLTWlmduAuqN/xNhxc/6CirGOe4VIyXlT/4juWVUcdonq8UxSAkVQLa\nmyyRKBF1UqUsATvJCV+jY/uYVa7b0ckSYP9z247fiXI0e6D73FzcOc80ljd91yTOPL+Gu+9wewNY\npSSpNgl1xXXk0DU9EMfebGXJ9Tnk11sKKIMg3HAZg3QZDeXMr67X+qEOp9EJUwjy+qVYhQ9tI0XF\nuOq5FgXXZyzPlDJVRWiCFEqMVMmq4KGBxJKlxkiXT+EDrc9KRhWyxFMlOWGZPTSR5WheqCx5jd8d\nmOjJkkjZWJ7I9PRk31iebg+kKmXJ55N8sTJcrA63xaXYAehPlVLJksj0kfHe7eoYgzTheixVpkuu\nuFaLyyw9n25dZGxakzBVhWpdTizktUMbWy9T7sW0sfVy7ea1IvL6pdu7TvFCyY9QVcV4WfmDqi1P\nVS++c1k9BRB1pkmc5KkSJ1G6lHIcrzGS0wBoDyY/qpAlwJyw2NRnu1aN++IrS7L4lRU6iKJkus4x\n4XkRn4OZI5OYX1nrpW68/IEzdXS/MWXJbfzOd/NZHanWK8WUzV7itLLRu9+6EqcmjWUC/vXithsC\n333HuHLzWhFTuqT7IChFpTgwxAkTMYhOwsSUiZc/iCkTL38QUyax/IGjS5nKyh9Um9iGbGzrQ66N\nemWpEpC/LKWANpwlcuKJ99u9gPuMo6lSJRl+mU3SlBoXWeI/nypNsl2nZJIl8bKyJC5m+UMd8E1n\nXTefVeEyiuciSynXetWdOPn+XHWlS76Pqfo9pyx+sGnBjEXjhcmm+CFFnbhu01rVaFruyMUPOm5T\nNOWJ5Q8ccQPfUVXhw26x8MG+/MGmLc+3AKLOxjxXuCTZiFKUEbyr15ImS7HSJZIkosn4rt2xfcMQ\n+sZiUUhafLGRJZMg2SRKZeN3veu+oJejo4cn+sbyysofdGN5bcR1FA+wlyWgX2xSwO9/+sh4Za2F\nTUuWYiL/ncwe2Gc9/mkaja3jw5/GCxNHLgsQGSl5TyivqYlRKa6q3E7JQNudZhzPdB0VdVSMywUe\nQH+i1MaacaBfhEwnq/uKkSrZipIHMURJFKQ2ShLzXVOUaMNaGsdLR2pZUt22amxlCbBLkWRcREmU\npdkDE32FEPLzI49TyiNEYtHC1OydWDxnJ085ralxxWUUr0yW6mwQrCJ1aqosLa9sWI/jcfn0ha9j\nmts/MbDXm+nfxCrTJSBwDRNjbALA7wCYAbAI4E1FUVyRrvNqAB8DcBuALQAPF0XxO93LfgvA9wF4\noXv1nyiK4tmQYyLSsG/3S7hy4+V9a5lu3b2Jb94Y61vLdMvum7h6o//PStzIttizDSZvaiusZdre\nA4x03Uts0OOIa5h0DXq+a5lSUtVIXyUNeCos06UYaVIb5UjGW5Z8aXHhQ1Nep6qQpdlDE1g4v261\nnikmrrJkg1wJbpIkoD9Rmr1zAguXOuJ07Pb+sTyxVVBuDZy+a7JvkfrCxSva8bapuQNY0lRHTx8Z\nx9JK81IpXiFudV3NRrB913GUCVXVtc8aGxnx8ZdK3vi7rH8KlaWmblQ7c3gcixHXMcmYPvRJtX4J\nCC99eB+AzxdF8UHG2Pu6379Xus63ALylKIrTjLHDAP4rY+yzRVHwZ+hni6L4dOBxEA7cPmJf/KDD\ntmJcxLdi3LX8oYwqa8arXPuUsyy1ZRPWkRaLRYvJ+nXKpZUuRJY4shSInD0Xv1bcZc2SbS04UC5I\nfbftytLsnYIcdaVJvH9d+QM/5j55mp7sjRZNHd2PRUEmFs9t9JKVpZWNxqULKnzWoejSJR+R4PIg\nrq1ZXtnok4rY8iQjFkeE3lcZqp+3qcwcHMdihNp7karTJSBcmF4P4F90v/4EgD+H9EJUFMUp4etz\njLFLAO4AkOXHKzHG8VJj05AXct8bWy+3vj5PmUTElEnck4kjpkzbYwVGNiVx0qRMqkTJJ2WqgpxE\nCag/WYpFnelSVbJUebpkQcPH8bJ4nXri/Sfwll84qbzMtkYbqOeNgi+2ssSLK0RkQQLcJAlQi5KK\n2QMT0fZkmpq9s5euTM0dwPL8xT5pamqyBMQZxQtJlWR5kL+XE5kYAiVSlfi2SZZUzB7YhwWP/ZiA\neotrQtcwHSiK4jwAdP9rzN8YY68BsAfAGeHshxljf8sY+zBjzGv43qb4wZcmbFrrs36p7D5U8LY8\nXv4grmWKWf6gQlX+0PuvR2NeqgIIl3VGIfBCB5tUyShLvuuUrm1WOoY3LATLUqL1Sw0ni9cpFa4b\nMg6DLKmKG8rWJYnwNUq2siSXP8Tak4mvZeIjXEsrGz1Zmpo7EL3aeubgeNI2spijeDbisXzqQp84\n2MgDvx6/Lr+PJo22tUmWbP4WylBtc6D7dzDlOB5gkTAxxj4HQKXpD7k8EGPsEIDfBnBfURT83fPP\nAbiAzovTY+h86vcBze3vB3A/AExNTZU+3sh1deta5zKmfYM+coM1ImXKCTFl4mN5upRJHMvjiCmT\nbizPh5CUyXU0L5c1SiLRU6Wa91cahnSpFlrwszXxdcpnFM8WebxMZOF8+vVLIbIE+I3biZRJkng9\n27E8055MCxevYFbYk4mnTHw0r659f2Lgs27JlC7ZyhIQJg1Vp08xyEWWXAofdMwcHh8oQFm2HMtb\nXFnDzJFJzO2X2ipr3hahVJiKonid7jLG2EXG2KGiKM53X2iUOskYuw3AHwL4+aIovizc9/nul5uM\nsd8E8B7DcTyGzosVjh8/TkYTifGRTWxsmz8wFTewNaHayFYkRvkDH8Hja5h6/9WM5pmIUQCRQpRc\npEhFDqIUk7pLHoZ5FK8pNPV1Kna6JI6xmaQpJVXI0kAqZClIAHDqxZ3b3nObsKZJGMubPTSBeUEs\nTeUPurVMsjQ1kRTrloyPZxi/CyX12qdQcpGlVMwcHDfW7y89v4bpuwYlSabOlD10DdPTAO4D8MHu\nfz8jX4ExtgfA7wN4oiiK35Uu4y9iDMAbAHwt8Hhaj7x+yXYPJZkYxQ9AmvIHHbz8wUWaYqZMI5s3\ne+N6MUQpVIxkrKvCbYggSTFqw4eFnGWp4euXgAxfp1zTJZc3CfyNf5tkKUSQOKIo3X3HBM5cFuRS\nassTMZU/DKRM3ca8xQsbPWkCgEWHzVtFbCvKY6ESpJgV4qZ0qUph0MlTHeLUdlEysdRdx+TTlCeT\nehwPCBemDwJ4ijH2NgDLAH4UABhjxwG8oyiKtwN4E4DvBTDJGPuJ7u14LetJxtgdABiAZwG8w/dA\nnvvQu/Bt//bD3j9IW/BZv+SDWC8OlFeMu5Q/xBzLK8M1ZQoVpdiSBFiKEpBs81mZEFHKTZJaPYo3\nPGTzOvXE+0/gu9/5UQBuRQ9l+IyyxSamLIWM2YmIkgR0REl1v3wsb/bABE4LsimWP8yvrmNOKn/Q\npUzLZ1d70gQMjuiV0Vv/ZFHL7IopNXLZjLbvPkvWqpjSpbqFobfeqQZxqvtn1zF1ZBzLpy4kfR5m\nD+zrW//XBIKEqSiKNQA/oDj/GQBv7379SQCf1Nz+tSGPLzO6qd70FOi8Ad/erb7MBLs+0lf8UNwY\nUW7C2iZcm/JU6FImcSxPRdlYXt0pky+1pEmcMgmhNKlWoqVLPoUPQyCEub1OAXFH8WThENveqiKF\nLMUQJEAtSfz8U5fXe2N5pj2ZnNYyHdjXW6exKLTLidIEqNOmmKKUQoyUj2Oxbgkwp0s5CINKnAau\nE1EgcpWl1NiuY9KxcN4tcY9JaMLUCkY2GbbHHNe/XB/B6J5t3Li+C7v33MTm9d0Y23MDV2/s6iYr\ne3DL7uvld5QRkyMvYW3bLEp8A1sfdOUPLmN5KUi1mW2taRJQSaLUZlGidKkV43jZ4bpBrQldsmQq\nfIhNnbLkIkgmnFKm/cLXipRJHM2T0yYuQnLaJI7ehcqSKEoxxUj5WJajhjpZyrG9ziQwsdY9NUGW\nUqRMZeuYVMztn8D8uU6b6Ny+CeW/i1WM4wHhteKtRH7zLpcTVMX46Lek783rl+RxPBW3jwx+Cm11\nu9Grpde5dXfnfsSK8Vt2m6VBTO9EaRXTQJ4a8vN4xTivE7epGd8a8/8dutaM29R9u1JaDy5iUxXu\nUAsuU1y91jsRYeS8domoD5s9l3zH8HQNear63jLqkKVTL673TkBHkMSTK6J0iaOAp6VjFn8e8eed\nvmuyt/6C7yuzcPFKb9yolzZd2Oi9WeytbTq30Zcq+cqSeN8zB8d7pyowyVKMUbzlb5zzO7AExKgs\nb4Is1c3c/one6GsZqv3aUjG0CZOpWrwMPpZnmzK9eL2ztuebN8Zw6+5N/OPNvXhFdw3QbbvSvemU\n1y+pZCkGquIHwH8sT4SP5fG1TCGjeSaiNOZFkCSnBEkmcaFDCkEauWVvlilTFelSVFmi/ZdaQ4gs\nhY7jiU1wZVQlSzbrkGw4/c3BEbVjd+zvlT/IKZNNY56qAIJLk5g2cWlSpU0hiJ/WTwm15lVQVvIQ\nOoonipIsTVOvOmx7mEnwadxL2QCYCpeUafrIOJbmLzpX6PcVP3Sb8mypUpaAlgmTXPxg2otJRh7L\nq3I/pis3Xo59u1/CC1u3WCU5sYjVlOeCzVieuI4pJiFrmUz4ilKQHIm4CIejLFWRIuUqTY3BV5ZK\nhI3G8dJw8qETOPHwyYHzY6VKKfZfWhTW7IikkiW50c4HWZDunux/I3Zmba13/7q1TGI1+/yVdcxJ\na5nkAgieNHFxKhvR80UWpaqx3ZDUdxSPC9KRqcHbryxv9AlUE+Sp6alSqgII3+IHcR3TM7/0QOzD\n0jJUI3kj0vtTlzfl8lgef6PPkxIuATxF4e1wPGHhzXF8g1cdNvsdhWKTNMnjfypU6ViKsTwuvTFG\n80xs7R11uj7gJ0tO43UmbEbvgJ3xOwdZqnrkLqf1Qo1Ll4jGk3IEz4az59ad0iWZFLLkOmJ3+pur\nfae7Jyf7TrrbiIjHIR6nPJrXt5lm9+vpuyZ7n46LI3rT05OlI3q29I31Hd1fqyz5juJxdPKw/I1z\nODI1rpQlAL3L+Gn5G+d6p7rhI3vy2B6/rImEHrdKrk1JKF8TCKD3gcTc/p0PKsQPfareOqF1whRS\nQc1rrauAj7Dxam5VkYKY7LiuX/KtE7fZ12nf7sHrvMJitHBsz44kjO6Jk/S4SlPIWqZQoogSlyQX\nUbKk7rVJI7fszUqcUkGjeIRILFkyjeOFlD3YriWILUtlyIIEoFSQRMTr3H3HhHEtk/hzifCETRQo\nWZqA/rVNQL/s2EhTDqIE2Jc8AOZ0ySRLrjRBnpoqSyI+BR2qvxM5WZ09sK9Xyc/bJgG38eCqaJ0w\nPfehd/V9PyIV1ckpk4my8gfXlKkMLk2qlCm05jvG+iXVuKApZQKgbArcvWcnlREr2sURSL6+rCxl\nio1PymSCS1I0UbIh0zRp++o1q9G7OqVpGIQNAI3j1czJhzqtTrGTJdMnriFlDyFvXmLJUpkg2UiS\nzN2Tk30p06kX151Tppkjk52q8dX1gbTpzOUN60IIFTmJkq0sLc9fDGrF0yVLNojJVC7iFEIuP0Mu\nwif+W5Wi8bOMVq1h4pj2Y5IJKX9wxaX8ga9n2th62UBbXgrGRzaxsZ3u02pxE1sVqk1s+VomXvQQ\nqwAi1VommWhjd7Z4lDlUlSaJorR99VqpmLR1XROlSwSnTJZcRCk0XdIJkS5dEhMVG3xlqWwdkgvK\n0odb9/cukwsgTl8yrGVSFEDwNU3ieeLaprJCCHHPJgB9omTD8tnVoHVRpnVJNokSEGcULwb8fnJb\n7+SCqvSi7uNPuZktL38AOmN503dNdirFV9Ywc6T79erOWN78lfXK6sQ5rUuYgPKUyYQ8lhcrZSrD\nZjQvNGVSYTO6pxI2m7E8cR0TJ8VYXmsQx+0SJkpNoW1pD8kSIfLXv/xAFFniVJ0uiYUP4hoDE7ay\n5LIOSftYikRqbt9k78SvI9+vPJpnSpl40iQ3BsppE2Ae0QMG1zbVkSjNHB5XnlzwGcXjrCy7rekq\nQxzXA/JJbMoQSy9yOf6UKRMvRQH6x/JM+BbYhNBKYSrDZSwvFrryB1Udt81onmmDWZs6cd/iB9ux\nPBGfsTxe/mA7mhe7AKIyXOVIxEOUxHVKdaRLpvNUVClNbRM0LTSOlzUpyx1UpE6XZGxkKYYgiXIk\nShJH/v70N1f7jkMezdOtZeJrt+QRPfE83YieqhCiztG7EGz2XDLB05PY0sTJRTzK0DUE5nL8VW02\nrCp/APz2i4tFa4Xp6//Xu8qv1EVuy4uVMtkiF0CIcGlSVXubpCkEVfGDa8okrmPilLXlyaSUpjrL\nHwD4SxLgnSg1daPZKsogUt8/pUuECnmkxEeWfMfxYqVLvphkqQxZjlSCZIv8mGUFEDxlmr+y3hMn\nWZoA/0KIJmKz55INqaUJyLckgh+HqSEQQOnlKUmdMpWVP4hf83WgVdJaYZJxGcuLRUjFuOtoXoz1\nR3LTHhCeMqnG8kTEsTxeL17V/leNwqMaXKQuWTIlSa5rlFJJDckSkQMhyZLPOB7gXuYwv7oeRZY4\ntrJUNl7nIkgi4u1cCyBEcQL0I3qqQggA2kKIpmLcoNZh3YsoTSnFCVCnNnXIk2nfqRwJTZlmDo4H\nbbJcV8o0NMIkU7Ynk2/K5ItNyiSiGs3j0lS2GW3diOuYOHwsT5amVqdMNgSuT6qzJjwFseWmUbIU\ng9yOhwDQTS4OTFQ2hleGaqPa0FE8EypZii1I81cvD5z4/YqiJI/mAfqacVmaALu0yXbPpqqw3YhW\neVuLoofedVfsBGjqVYd7pyrFSSVPKQVKvP+myJJryjRzeNz774uP5c3tn+jbk6kuGvCO0R+XsbxY\nxNjIVlUA4Tqa5yJNquKH2GN5ZeuYYtLY9UwiEYoc6hYlmwTJpwkvhuRUMeYXXZYqSJdo/VL1PPng\nCaMoiW/WZcrG8UxlDz5vPGKmSzpCR+w4OjkST/x8/riqAgieMvECCHk9E0+bdNKkKoTg5DSi51ru\n4ApPmWylqXe7ChMnYHBjXHl0L5ZEycUOPsdZ5yihKmWaPjLuJNAmTOUPX3r0gSiP4UqrhUmmbE+m\n0JTJF5sCCBHX0bwXttVvvFXFDynG8kRU65h82/Ji7M2UZcoUofGuCbIUgq/wVLU5bpayROlS4zDJ\nEif2bveqsoeU6ZKKVIKku51LAYTxGCRpEjfzBfpH9Di2ezblytTcAQDAkoUI+VZS87QJSLu+SYcs\nUEBYCtW0VEmmrn2ZbDfRTkWG7xbjUmXK5LqRLU+ZRGKM5vWuX2PKJFJWL07Eo4kjeCFyZSs/VYpS\ndmN4AMlS5jz1wOACZhtZ0pGi7KGKdAno7I00f6X8jZGvIIkoRcmiAEJOmQDz5sMysjQBO2lT7/vu\niF4T4NJkdd17DjqnTL3bVpw26SgTKB22xQ5NIXVj3t13jPeN5dVN64VJJreUyXU0j2MazRNTJi5N\nL2xvapMmmRgpk7wnE+BWL25DHUUeOZOLKPkIUKg0mYSoqrrwZKJUUdEDjePlwekX1jvjX91Ug2+e\nKrNwcT162YMuXUotS8du3Y8za2ZJiiFIpvu2LYDQrWfSwYsg2s7U3AGrlIkTIk11pk0qbOSp6amS\nTKqUiTfl6Xji/dW343GGQphyTplEXPdmUo3mmaSp8/Vm3yk1PvXiRQUb2prWMW3tHU3++DFpYqqU\nClGeqkqVgMxlidKlRvDUAyeUG7tWjShTtm/0fYTgntsmcOay2+1CBens1QsDJ/F+TAUQqvVMwGAJ\nxLyFRHFUKZO4nglArwgiFcsLl5KvX5LxXc/Udx+ZpE0yps1m2yJLZajWMamKH+SmPHEDW5FcUqah\nEKZcSTGaB/RLk9icZxrR012WcixPRLWOqap68SzXMVmSmyiFJEWp1z2lgmSJiAl/U75wyb/sQYep\n7EG3PqAsXeJv+uX1OiqO3T5h/Lm0jyGUM7ggyxEAzN2+v3filBVAmDa0tf4ZJDmqasQxV3zXM/Xd\nR4Zpk4hqdK/tqOrlVUI+c9Du+TCVP1RNc98pBpB6LM82ZRIJac0TkyZT3Tggp03lIiUSYyxPxFQv\nLsKrxYl+2iRLTSVrWXKAxvHyQE6WdON4gP/eSyZ80iXALEvH9k0YBa93vZKxPJtEaSA9EuRIliTx\nNhzTaF7ZhrYicspkI5MhLJ9dtX4DmhvLKxtBSROQb9o0rOja8mxSJhOPP3Jv0HGFMjTCVEfFuAnX\n0TyTNAH9a5pEaXJNm8TrmXBJmXzqxVON5fFqcSIusWSpSdKVvSxRutQ4fu/+dPP5Lps9ylXYZdeT\nmds3YUy6ODZjeTbpkk6QyuDXkUfzAAyM5nHKRvNcyh+Gnal7DvZOoeKUe9o0jIjS5JIyqdYx8bG8\nOhkaYZKpO2USsRnNA/qlSVzTpNqjSTWiB6hrx7kkqS5Tte/J+FSM+9SL881ribxokuTEIFkT3t6x\nWmSJ0qX2YNp7CTCXPciX2YyM+awp8BnLs2q8sxAkm9uJKZM4mue6nkm1lim38oeQDWtjE1uc2p42\n5f6zqUbzgPKUSbWO6e47xrMYzRsqYZJTprpa1mxH80xJE+A+oienTSZJEq8fC596cdU6Jp/9lspo\n8jqmuti+ei2JLOUsYNmnSgAlSw1HTJlCqsV98XlTX5Ze2Y7l+cCTJRtWrl0YOPXdT1eUbKQJ0K9n\nUqVMoWN5qYofqi58KEMWpxgV5G2D/0z8Z8wZVcokSpMqZZo9sG8gZXrsV+5LdIT20LtEgapSJhFx\nNE+VNInSJBZB6NImjk3aJGOSJFG+ODZjebHqxVXrmLYHpxm1qEbxTE15hJmYUlNXs50rbZQlSpfy\npaqmPFXZg0shAU+ZZGmyHcurAlGO7r5tf+/EL5MLIFRf6/Znmr1zQrueyaUxz0RT9mOKCRcnwH+d\nU5vTpibIkm0BBKBey8SlKQdZAoZQmMpSJldpckUczVMlTaI0qYogytImeUSvLG1Sfc/ht5FFSb5v\nQD2WJ5JrvbiOplWLV4mvLKnEKFc5kmmELBGtIWQtk8+b9NC6Xtfbi2N5PvXiHHVNM90AACAASURB\nVJt0aeXahQFJ4ojfz92+f6dJT9Gap/paLoEoS5kId2KJE9COUoiV5Y1GyJJIWQGELmXKjaETJgAY\nld67h4zmuaRMqqRJlCZVEYRuRE9VO+5SCAGUi5IKWZRUj8dTJtU6Jp96cR2xRypNY3nbY4Pp4LDh\nMoLXVDGSSbZeCYgvS5QuDQ2zByaUm6bGepOuqxg3Mbd/wjia5zKWd+zW/Zi/Yj4Gsd1OhzhyZ3s9\nXWueqWqcSI8sTs63l0ohmihOTZQll5pxVcqUS7oEDKkwlZFqNA/oH89TFUHYjugBsBrRK0ubRMrS\nJJ0oqfaF8mXrOv1J5oiNKDVdjkSSi1LNskQ0A3ncKzYqMeJpkY80Af2jeanH8mzWLsmpkuly0/0d\nu7X/MjkVkyvgqxxHnDq6H4sXmicAPoSWQzRVnJpynCp8a8ZzS5mG8t3pcx96V2nKVCZNZdhIE+A/\noudTCAEMpk0uY3fi/elESRQ2FaomQB3yc+hD2Tol0+U5j+VVuQeTSZbaJElAYlEC0ozgeRwvpUv5\nE3ss7+jhCWWhg2qczndET7eeSSRG+UPMdElk/oX+T7jnbrmj73t5n6h7bpMk6eLgOq6YpCp+aCKx\n1jeJa5xsTnXQpJIHE6414x/7+E8mPyYXhnrOaHQT2PJ8/zKyyfqKCEZusIFGN/6Gn6/F4dLEdm/3\npGl0zzZuXN/VKz3YvL4bY3tu9KTplt03cfXGnl5RwovXx3pjbd+8MYZbd2/2pOkVu671pOm2Xdd6\n4rJv90s9ubl99GpPglSlDQCUkgTAmCSpJEkUOBWqlkAdoWvHCHdUotQWMZJJKkmcTGSJaA+nr6wP\nbGA7e0id6sgSY5MgLa6sORVAAB1pksVs4fw6Zg9N4Ng+9SihD6Hp0pkX1RtmHr3lYN/38mignDTJ\nFemmDYVDmJ6eVO5PE8LU7J1YXLiUXVOeLT1pOnUByysbmNJUWZfej4OILH/jXOl1jkzFez7bIkvT\nR8axJIntzOFxLC5cwtTsnX3nL59dxdRRv20CUjKUCRPQSZlkYu/NxGHXR/rSktQjeoB72sS/dxm7\n42mSLEviiKAtqgZBHfLvxRXT5rVUL95BlKW2pUgiyRMlTkayROlSc+Apk2osTywYsEVOjkxJUmgR\nRO9+DALhuh8T4J4unXlxVXk6svdg30mkTJJsxvHkn/vsufVozynRT6wqcqvHEpIp1QmINz7XFlkS\nsS2AyC1dAoZYmDiuo3kyttIEoFSagDgjej5rm3xESUYWJfFYXBCfG1+2HCrHs+KauRSjKtosSUCF\nogSkWa9EsjQ0xKgXV6VLtm/eUxRAAIOSwZHH3pT3b7nvEk+RZDkSBWn+hdXeqe8xPMbxdOlS2XNB\nxCFGo17wMUSSmzbKkksBRI4MtTCpUqYyVGuZVNLETzImaQpp0QPC0iYRF1HikiQnSrIoicfmgklA\nY1H5fkwZb8zadioXJSp3IAIJWcsk4lPmEDMRsSlBkJMcGZt0CRgUJKBfjGRJOnrLwd5JxGYcr6zs\ngcuS6rmcOTLptVFw01la2eg7xSYHcYqRMrVJlsoQU6ZHn/ipGo9Ez1CvYeLIa5lGrvdvijpyA9je\nLV7OsL2nf72SvKZp57Y7b8b5Gid2fUS5rgnoiBNf1wR0NnTl65qAjjjxdU1AZxNYLk237dnsiYnP\n2iadQNmuT1KlSSpREoXPBV3xhpwS2rA1xjC6Ofj7cmV77y6MXDPvJ5UCdsveSosf2kBlogRkNYLH\noXSpncjrmHRv2EVcRGhu/wTmPdYy8cc+engCc/smvDdxnbvlDsxf2an3tkmX5LSIIwvRwO0UVeaq\ncTzXsoeo4nnxSnbtYTbIYjQ1dwBAZ0SLX6ZKIEKQ1zgB8F7n5PS4rzpstdZJRxPrw0OYOTyOxXOd\n30+usgSQMPXwkSYAfeKkk6ad+2B90gT0F0LI0gSgVwjBkyZeCME3fS0rhAA6IvOK7p5IL97c29sf\n6cqNl/f2TNIlSjK+oqRrxxPXa7UJthm40MrmMbpvoEmczFQqSkCWskQ0m9k7JwDFB0OzB9R7G+ne\nsPtWhfugKn9IgY8c6fZ4ksfwOGfW1rzKHmKvW9IVP6j2r8kFUZS4JIm0VZy4NMUsgGg7qprxnBh6\nYXruQ+/Ctz/4YavrytIEDKZN4nieKXHSpU0maQL0LXqdr8PSJk7sRMm2SlxcyxWjUnzg/iOlSjYU\nY7srkSaA0iYVlUsSkLUoUbrUbH7v/hN400dPDpwvy5IqXXIpetARkjKpWLi47lVaAQwKUkwxkm8X\nsveS77ql6bsmceb5Ndx9x+AbbVNLXk7rPsokSUVbxWllecNJmpqSLi2vbPSezxjMHB7HR596Z7T7\nS0GQMDHGJgD8DoAZAIsA3lQUxcBGAYyxLQDPdb9dLoriR7rnHwXwKQATAL4K4F8XRXFdvn1VqFIm\nwJw0da43OKIHmOVJTpt00gTAakSv83VY2qQipih5j+JlUim+PbYLI5vVj9/ZQNJUkyRxMpYlon2v\nVSJyssHTJZ8a8RTwsTxOSLV4bDnS3QbYkaWQvZdStOLlPo7HZcdWlGSqFCegI0+982M/TuBoHpEX\noQnT+wB8viiKDzLG3tf9/r2K610tiuLVivMfAfDhoig+xRj7NQBvA/CxwGNyRkyZVHszlY3nda6j\nlqbe5Qp5MkkTMLiuCdCP6AH+aROXJo6uEjyWKLnsvyTDWwvlNkNiOKWpVkkC0ogSEFWWKF0C0ILX\nqqce6E+ZVOlS2dqZkDfwPimT7VjePbdN4NTlddx9hyBWt+7H6SurvbVLIirRCRUjE67jeLajeC5t\nhU3AV5JM95VSnAB16qS8XsBjuxRANCFdAjrPx/KpC9FSptzTJSBcmF4P4F90v/4EgD+H+kVoAMYY\nA/BaAD8u3P4XUYMwyYRIE6dMnnTSBNivawIQJW0y7ZmkqwWPKUouezDlSF3FDyqGQZpqlyROA2SJ\n6NHK1yr+Rr2s6KENb8xl6dEJkk6OysRIV2feS5o89l4yUVfi1zSqFicVIRvjNkWAiHJC36keKIri\nPAAURXGeMXan5np7GWPPALgJ4INFUfwBgEkAG0VR8HeaKwBeGXg83shrmWylCRgUp851zfKkkybA\nfl0TgCiFELboqsFVa5TKZElX9hBjD6ZcqHIdk0gbpSkbSQLSiRIQXZYoXerRitcqnjKp9vypough\ndC3Twvl1zB4KSLkkSfKRozIxMmGz95LN2iX+O4khsTkXPsREFqcU0qR97HsOBkkTscP0kXEszV/s\nSyObkC4BFsLEGPscAJV6P+TwOFNFUZxjjM0C+AJj7DkALyqup41lGGP3A7gfAKamphwe2h4faQLU\naVP/bdTyJEsTYFcGASBKIQSXpjJcihxcRcmULlWxB1Mt3LI3+V5MbZCmrCSJQ7KULTm8VlXxOvXU\nAydw/Oc/2vs+do14KlTV4sdun8DpS+t9m/Meu3U/Tq+t4u7JHSkTRalsbySOrxjJSZKMzd5Lpufb\nV5aaUviQmqm5A7VKE7FD7LG83CkVpqIoXqe7jDF2kTF2qPuJ3SEAyk7AoijOdf+7wBj7cwDfAeD3\nAIwzxnZ1P7k7AkC7Oq4oiscAPAYAx48fT1Z1JssP3+PHVDnOb8exkScuTnxtU4x1TYDbiJ7PZrKp\nRGmrpBVPtwdT1eRc/CDTRGnKUpKARonSsJLDa1VVr1N1pEvifcdszLOhTJJ85MgkRnKSpKJs7yUT\nJllael7/O0tR+DA1eycWFy5h5nBzpEuUJiDNiJ4OSpnisNxNmZqSLgFA6PzT0wDu6359H4DPyFdg\njO1jjI11v94P4HsAfL0oigLAFwG80XT7qvmbj7yrT3448uaoptKBkRs7J+11rrM+CRBLIcRkhV0f\n6avYFkfWRMkQBUSUE1FcRKl58fpY36kM1fWu3tjTO4mPJz7m5vXdwbLUBLb35rkOK1sBEWC37O2d\nsmPvWCNladjSJQta9Vr15IMnAKSrEbfBRcZ8K7aB/opvfgI6ksRP8uV917u8rjwBHTFSnTgLl9YH\nTiKu43i2z5mqUpzoZ2ruQG+sS94UN9ljDkmS4opr8sYFt0myBISvYfoggKcYY28DsAzgRwGAMXYc\nwDuKong7gH8K4OOMsW10BO2DRVF8vXv79wL4FGPslwD8NwC/EXg8Ufibj7wL/8PPfHggKbKpHZcp\nS57Edj2XdU1AJ20yVY8D5nVNIrZ7JfH7GDxv8E/JVZR6P1cLBIpT1zomkRyTpizlSCSlJAGUKlVP\n616rnnzwBP75ez5aS424y6a0quse2zeB09JeTLqmPBE5SSrbJ0m8bxOyCPXu/3aLpMlyHC/muiVi\nhzrSJkqZdpg6Mm5sF2wTQcJUFMUagB9QnP8MgLd3v/4SgG/X3H4BwGtCjiElqrVJunVNHB95MklT\n57rhLXqqdU1lyGKVWpRU+O7BNEq1433ULU3ZCxIntSgByWSpGOv8f/cnz34gyf03mba+Vv31Lz+A\nEw/vVI1XlS5xFisYzXOVJJMc+YqRPH4nUzaOZytLpnE8FctnV4dq/ZIOVZMekK5Nj9YyhfOZrzbv\ndSrPOaIM4CmTrTRxXOWJ37csTYB6XRNg36KnW9cEoJc4mTCJVSpRMqVLphHHKomyjklX/LB3DLhm\nV8bhSippaowMmWiwKAE7skQMJ3XUiLukTD6IouQqSSnESB6/kynbe8lWllTjeEtLa9lvWJsDYvNa\n6o1vl09doJQJGJp0CSBhMiJKEzBYBqGTJo6NPIlCpiqEsEmbTCN6KmkCwjaPlbFpviuTJVmUmtiQ\nF20/phqlqRXy40IVogRUJkuULg0fJx86ge9+50eTFj2YcEmZ5vZNYF6qFtc15cm4SpJJjnzFSB6/\nA+zSpRBZIvwQ5Wlp/mLv65jyRKN5HVzXdn3k6XcnOpK0kDCVwKUJ0DfoAWHy5Jo2da5bXj+uW9ek\nQxQqG1T355oqtUGUyvBax5RYmoaaqiQJSL5WiZIlAgC+9OgDeMsv6EfzUpE8ZQqUpJDESCVHgFqQ\ndGUPLvJatywtntuovClv8Vx/OpHq8VNsfkujecMHCZMjuj2X5BY9k0Dp5ElOm3R7NnWuq68fLxvR\n01EmVCZii1Jfa2CFleKjm9t932/tHcXota3KHr8P/sY+kTgNFVVKEqdiWaJ0iag6XXLh7Ll1HD1c\nLnKxJSmmGInIkiRLqsu6pbplaWr2TiwvKJv2oyNK0tTszv7RywuXepelFicgXuo0zCnT8srG0KRL\nAAmTFWLKBJRvVAvYp09y017ZiB6gTptspcmVMskKFSXALEsuVLnGqdL9mBKmTa2nhaIEULJEDPLE\n+0/ge9/2kcpb2Gz2ZbJtyuOESJJOkGKJUd9tAxvxbEoeTBvWAsDihY3six/kJEkUJfk8Lk6p0y4x\ndfK+D0qZhgoSJktU0sSJIU/iZriqET2gfLPbsnVNA8e1Z1t5voitZKkeIyRVAqpLlkavJ9tfMh4k\nTfbUIUmcmmSJ0iUCAP7iN34Gb33vJ+s+DG/kPZBEXJOkgbrvBGJkIua6JV3hw9TR/Vg+u+p8bMr7\nSrCBrS5NKjsOAFjsJl5VjAkurWx4p0xUAGFPk9MlgITJidHrwJaivCGWPInSxO9XVz8O6Pdt0qVN\nMr4bxoqilUKUgEFZyqUhrwyn4gddU54OGtHTU6ckAbWmSiRLRA7EqBiPKUk6QYotRj7YylJZupQj\nPpKkgo8Jpk6b+D5OoQzbaJ7POF7TIWFy4Ku/9i585zs+rJQmTqg8qUb0xPsqa9LTSZMtOrkS0YlW\nrPG73GSp1nVMKiht6lC3JAGVbUBLI3iELY8/cm/lKZPTRraKpjxgR5ZiS5JKkGKIUeh6MVtZqrpO\n3FdQYomSSFXSBMRJmQg9TU+XABImZ7g0Aeq0ScRVnsTEyUWcxBE9eV2TSGExguciV8COYNUlS3LZ\nhi2jmw0YwzMxrNKUgyRxMpAlSpcIFXVIE+CfMqWUpJipkSxJqvuO2RpYtSz5lD+kECWRKkb0KGVy\nw3XvpTbIEkDCFMRoV2rKxAkYFB7l/XXf/8riZDump0ubOKZNYU2YRMt289mYsiS2DNaJS/GDtlrc\ndSxPZBhG9HISJE6FtewkS4QvVUtTaMV46JqkOiXJ5XIAmL5rEmcituPFLn4oS3RSS5KKKtImSpns\nsR3Ha4ssASRMXogpE5BenGzSJtNmtyZkqVLhklTZ7KtkU+5QlyxtjY0MVIsnJ0SagHalTTkKkgjJ\nEkF4Mbd/AvOKanFTw10dkuQqSHUTs/gBMKdMdYiSSEppopSJKIOEyRNZmoB6xUk3old+HO5SJbbx\nyeeV3XedspT1GB5/Ix6SNjVRmnIXJE7Fm/3SmiUiBrWkTA5jeaoKcJIkP1KmTHWLkogoTUDcEb2p\nuQNYmr9IKZMBl3G8NqVLAAlTElKIU9n6Jl3a5IMsWuK6KBHTiF9MWcplBK8SQkf0cpempggSp2JR\nAsplidIlwoWY0iSP3MUSi5SSZFPO0ERBEkmVMuUkSiKp92wKGc0D+lMmF8HIPZniP4vNOF7bZAkg\nYQpClTKJ+IgToJansvVNqg1vVYi15Npj0SRUOnFSXUd3n73vA2XJtuwh1h5LLk15TtXiKtokTU0T\nJE4NogSQLBH5wmWJp0eLK2u982ThKCt/4E158nkicrudrdS0IS3yJXbKlJMkqUgxohc6miemTC6C\nsXzqgnOZQu8xKxCtYZclAGBFkfGYkobjx48XzzzzTN2H0cMkTRwbaTIhS5S8hxMXp7I2PuNjaGRK\nN9rHxalsrK8qWRLvg8uqKEziSF7f133X0a9fUgmTrvRBJUzK0ocyfMWpLmlqqiABtUkSp4myxBj7\nr0VRHK/7OHIkt9epkJRJliURUVC4nMyvriuvO786uIZJxEeSVAlSEySpbC8mn1rx5bOrUYWpKYhr\nrmKIExcm35RJHMurYq8ieQwwtkA1XZZivU6RMEXCRpqAtOK07XjfOrlyFScdvk14phE8F1nqfN1w\nYQLCCiFSi1OTBYlTsygBzZQlgITJRI6vUz7SZJIlEZW4yLdRCVMMSapCkLjgyEzf5b9Z71JJU97S\n0pqzMAForDTJZROuCddyxOrx5YC1TFxg6tjYVbeGykeiXEQJyFOWgHivUzSSF4nR6wW29pSvGXIZ\n01Mh14qL65tUomGSKN36KXlz3N75FmUSpnVTVchS1USpFi8jRvU40U8GkgTYlTvkKktE+7GVJfk6\nunVDvClPdb6JHARJJTZnLm8MXC9EoEKJvZapDkTZWTTsCaWSqSo3ujVRhyiZHls17lcmUG2RpZiQ\nMEXiK4+/G//srf8RAJKLkyw6cilE33UlAVEJVKg42ZRLhMiSab1SnbJUKaHV40SHTEQJIFkiqsel\nAMJFlmRsbmOSnphjdrpkyIayfZLky2WBqkueYq9lqgJVlblxL6iSDXZTtOg1FZ1EDVxPKqqoU/xy\nhIQpIlya+IhXleKkkwpZpOSGPd399d/GLE7a49OUT+QkS7FKIWzxTpkAkiZfMpIkgCrDiXqxkaYQ\nWSpDJz4xUySbdCgF4uPUlT41OWVykRvbjXV9Ca0Yzx1ZhsQUylWUhiFdAkiYkuIjThwXgTI17Kna\n9YC44qS6js2xysci4zOCJz+PdWFqyiNpqoDMJAlwFyVKl4g6SClLIm0QJBN1p09NSpmWFy5FTYJy\nTJWWHBvwqhY13zRpWGQJIGGKjjiax7Fd39R/m8HzQvZ1SilOZZIk3tfA+Yqf0zdVykWWbOBvnitf\n09R2WiBKAMkSkRZdypRallSNej7kKEhl6NKnM5c3jMe/cPGKU/ED0KyUSTWK1za4LE3NHbC6/vL8\nRaNg5ZJ6DZMsASRMSdBJE2CXNulwkShfcQIG5alMnHSY5CbmCJ6rKIkNeda3sdyDyZVaiiDaRIaC\nJEKyROSKLE22sjS/uh4kOz63Va1DaoIk6bA99unpyV69uA9NSZlyTIQ4oZvYcmxlqey6okzVKU7D\nJksAMFL3AQwbo9eLqOtmRq+bhWHkhlo0RjcNI2/X1UKjuy/VdUyJks8InqssxX6eU+K9piVzWYjO\nLXsHT5lSjO0mWSKy5/FH7u373kaW+H/5yYWZI5PWt1l6fq13AjqSIZ4IM1NH99d9CKXkni65SI6O\npZWNKPfDmZo70Lu/pZUN51G/GAyjLAGUMCXjK493/qDkpIkjvpkPSZ127m/na1Xq5Jo4AfpxPfm+\nSiXKIgGKuV5JJUo+qVKVUNKkIGMh0hFS6ECyRNTB44/ci+9920esZUncR+nsuR1pCq36jjlmF5LK\nyExP11cTHsrU0f1YzHQz25h7JuVKSpnh0lR14jSssgSQMCVHNZ4nE2Ncr//+0L2/wctSiJMOG1ES\nH3vg9h4jeE1JlVQMvTQ1UJA4oc13JEtEnfzFb/wM3vILJ7WXq2RJ/D5UnMQUyQeVILmu+9GxsLTW\naGkC8h3Ns5Gl5fmLAOKkPVXium7JF5U4cXJZ69QWSJgqwEaagME3+6ECZUqdYoqT6jraYzKsUVId\n38DtPWQp93RJZKikqcGCxKGKcKItPPH+E0pp0smSiIs4zRyZxPzKWt/l03dNOu+XJEtSLEFqGzkW\nQNiO4nFZkr+WSS0lruuYqpIlEdVjLRmeMx+ZGuZ0CSBhqgxbaRJRCYCvROlSpxjiFEuS5GMauB+H\nEbydx65PlkzV4iaCpImTozy1QJCA+JJE6RKRC7I02ciSiCxOoWN6InUK0lKNKdP09CQWltZaJ4S2\no3g2b+xFMYgtKVNzB4yyZrqdDtt9okLHFXXH4JNGDbssASRMlfKVx9+N7zrxIWyNhTTluVeU99++\n89+Y4qR8HEdJko9j4P4aJku1o5KTqiWqJYLESZEmkSwRucGlyVWWRI4ensDZc26FEIC6YlsUpTqk\nYfbAPixcvFL547YV2z2Xlh02jeXXW1rZwPL8xVrH98pKHrgsTc3eabyf5YVLvevGXudlm0bx55Vk\nqQMJU8V8+eSD+K4THwIAb3EKlabOfXT+6ypOgFqeVNdzJZYsmUSpaomqPGUyIQuMr0C1TIRMpBy5\nI1kicuWJ95/Ad7/zo16yxDl6eALz59Qpk+tYnqso+YyglbXK1ZkyhbCcUemDzyieC9NHxmuVprKS\nB1tZEq/DxSl1OYZOoj7zVXqd4pAw1QCXJv7m3UecYhVFuIoTMJg6hUiS/Hi64xs8P39Z4mQlTSJD\nJD4uVLEuiWSJyJ0vPfoATjysL4KwJfZong5ZklwlYfHsqlaampoy5bZ2CYg7iqe7XWxpmpo7gKWS\nxKts3ZKLLPU9dvf6izW0CpIs9UP7MNXEl08+2Pt6dLPwfjMfqxVOt5+TcQ8k015ON1C6J1PZ/euP\n1U2WdM+vy3O3tXdUe9n2WPnnDtt7/T6boFKB6vDdO8kVkiWiKZx86ETQ7XlC5bJf05nLg5/Sq2Rl\n+exq32nm4HjfqW34Clsuz0XqdElk+sg4po+MY3n+YpT7KyOVLIn0xOnchvUaqBA++tQ7kz9G0yBh\nqhFRmoCdN/auAsU3aY0hTz7iJF9HdT1ZoGzuz9SIZ4tWomqoHydpyg8uSVU9xyRLRNOQpWn+yjrm\nr9gLkE6aVJvYTt81OPJmGoOrWpBi7u/kgs8oYBPTJS43seqw+f2klCbbRrwQWRLvo2pxInYgYaoZ\nWZpEfFKnWPJkK0628uPz+Orzm18d7gNJUzyqliSCaDpcmrgozR6acBKnkLVQudDElrqc0qXUo3hl\n9xdDmnRrlGI04rkgi1NsKF1SQ8KUAWXSFDKuV5U4xUL3eJ3L3EfxXO4HALbG9P9LhI7lAf4pE0DS\nFEIOkkTpEtFkTj50ArOHJjB7qCM//L8uaZMttmN5ixf0bxaXFy4pT6HUlTK5kGO6VCcxpElZihCh\nEW/xwobx79h4TF1xipk2kSzpIWHKBJM0AWEJSozUySQyMSi7/ypkqSpImqohB0nikCwRbeDJB/vH\n87g02XD08ETUsTxdQYMoRjOHxwdOOmmaOTheKhpNSplySZdis3zqQu/kQux1TTEb8YBwceKPqTvZ\nQLJkhoQpI1JKU+8+AuVJFhv+vXjyuU/z5XFkKSdImuIiylEuksQhWSLahEqaUqRMIXA5SkVdKZNN\n8UNONeKAfdmDC1MBY3sx0qbYJQ9TR/f3PgDwFSeeNqlO/JhMMkWyVE6QMDHGJhhjf8YYO93978DH\nL4yx72eMPSucrjHG3tC97LcYY2eFy14dcjxtwEaaYglBTHFSXVYmUTaC5Xp8TZAlDkmTOyoxyvm5\nIFmqH3qdio8sTUD80byQsbyUi+HrSplsih9yHcWrsgrbhhBpSlnyEEOcdMdiOpEs2RGaML0PwOeL\nojgG4PPd7/soiuKLRVG8uiiKVwN4LYBvAfhT4So/yy8viuLZwONpBWXSBMQVg5gte/rHcE+iTMfj\nW4gRSox1TH23CZSmJkiDL00SI5k/efYDJEv5QK9TCRClyXY9UxVjeTHayJpMTulSzvhIE5eksnVL\nLn+DqlFQWZxS8ugTP5X0/ttEqDC9HsAnul9/AsAbSq7/RgB/XBTFtwIft/XYSlPsRKUKebI9Bu3l\nDR7FUxEiTSJNFowmH7sMiVJ20OtUInykqS3kNpaXa7qUMyHSpCJ2ssnFKWbaxHn0iZ8iWXIkVJgO\nFEVxHgC6/y3T6jcDeFI672HG2N8yxj7MGBsLPJ5WYSNNQBpxAuK07MV+vNylyCdlAuJJk0yOIpLj\nMcWCZClL6HUqISppioXtWJ4LocUPQL5jebmlSy514nURuwzCN+E0/d3FHtMjUfKjVJgYY59jjH1N\ncXq9ywMxxg4B+HYAnxXO/jkArwLwzwBMAHiv4fb3M8aeYYw9c/nyZZeHbjS20gTAa9Nbq/tNPq5n\nd/+5yJJpLA/IT5pkYsmKbj1R2amtkCzVB71O1cuTD57oiVNZCUTssTwdtQ4afAAAFepJREFUVWzs\nmTJlOnN5QymMKoYtXVouaajzIdZ+TT4lFzaiG2t9E8mSP6Xv0IqieJ3uMsbYRcbYoaIozndfaEx/\nKW8C8PtFUfR27+Gf+gHYZIz9JoD3GI7jMQCPAcDx48fzeOdcEV8++SC+68SHnG4jysXWGItyHLbS\ntLXH/vFiiVIuMsXZHtuFkc2b7rfbuwsj19xvF0KbJaYKSJTqh16n8uDJB0/gxz50EkBnNG9uXz0b\n1vJP+ZcXLvVJU8y0Y/bAvuC0S0QnR2cub+DuO/qPe+HilUZVnKdg6p6D0e9z+sh4aV24iZnD48kl\nnUvT8tlVLF7YsE4VSZTCCR3JexrAfd2v7wPwGcN1fwzSmEP3xQuMMYbOXPnXAo+ntXz55INOaZNI\nqpE97eMJ66B0a6Jsx++qFqHRze1o95V70kT4sb13V+93RLLUCOh1qkKefPBENuuZ5DawFKmTT8rE\n0yPxNH3XpPIk47InVZ2kqBNvM7bjoByX9U0kS3EIFaYPAvhBxthpAD/Y/R6MseOMsV/nV2KMzQC4\nC8B/lm5/kjH2HIDnAOwH8EuBx9N6fKUJSDeyZ/34DoUSKcYK64CkqT2IogSQLDUIep2qmDJpsh3L\ni428N00otimPLEcASsWoDeS+fqkNlI3pkSzFI+hdWVEUawB+QHH+MwDeLny/COCViuu9NuTxhxWf\nET0ZLiSxxvVikdtonY6tvaMYvbZldd0mjecR/ajE9U+//O9qOBLCF3qdqgc+nrdwvlmteTMHx7F4\ndjVaaiMKUsh92IzluYxoNZWpew5i+dSFug9Dy8zhcSwuXPKSct+/PfH6i92U6g//9GedH58wE5ow\nETURkjSJ1Jk45XgcuUFJU/XwJIlkiSDC4ElTytG8OsfRbNcwhchSk8fymgpvzBNPTWHq6H6SpUSQ\nMDWYWNIE1CcswyJKvqN5wOAoGBEfkyRxSJYIwh3enpdSmvg4UupNPlWYmvv42qRhowl14jp4zbh4\nAsLb82xxXcsk87GP/2TEoyFESJgazpdPPhhVOKoSmFiPMyzCBVDaFBsbSQI6okSyRBD+/PUvP5C0\nMU9VuRwqT7lVddvuSVWHNMZgef5iT07KSNGQZ6JqafKFZCkt9A6sBfzlpzstt9/zxl8GEGddUgoJ\n4ccVS5Sahu9apr77EN7c0/omd1ylk0SJIOJw8qFO0nTi4ZPJHkMcS+O1yxyXtT0zB8ezEo/puyax\n9Hx/G9/09ORAQ9/U0f3ZiV5b4JXjy/MXMTV3wHjdkHVMgPtaJhKlaqCEqUVwcco1dYlxXD73YduQ\n51opXraBbWrEhITG9gYJfX5IlggiPlycUsNTp9jJE2GmzXXiOSZNJEvVQcLUMv7y0+/JXpx8aMvP\nErKWyer+h1SiYv/cJEsEkY6TD53Alx59oLLHE+VJ3LsmRJ4WLl4pXb/kwvzqet/J9j5zHMtzXb+U\nk4CUYStNM4fHg+TRZi0TyVK1DMe7qSHkLz/9nt6IXq4V4jbkLkku9eJ1oZKHJo/zpZRAEiWCqI4n\n3n8Cb/mFdCN6OlQ1zIDb2J4NpsIH1T5UfZevrGFu/866r9CxPPnNe6y9qGJhu34pB1zG85YDRvN0\nkCjVAwlTi5HXNjVJnHIXpRBirGUKPoYGSVRVKRnJEkFUzxPv74zouYiTmKrYbh6rg8uTvOapCmRJ\nSv543eRn8dxG9gKVO1yaTMwcHu89177P77K0lolkqT5ImIaAJolTE0XJJ2Xio3l1i5PIsIzvqSBZ\nIoh64eL01vd+snfe9F2TgPRvqzgGt7S0Fk2eeDJjs9Dedv+lFKg2sXVFHpmTBcr7zX2D68R9KUuZ\nQqRJLh8hWaoXWsM0RHBx4uS2LiinY6mK1GuaCDNUGU4QefH4I/f2fW9aCzQ9Pdk7AR2RCZEZF1mK\nuX5JxcyRyYGxPd0mtvLPzNdpySyeUx/XzOHxvtPywqXeKTUudeK54bKeKRSSpfqhd2tDhpw2AW6i\nkiqVSiFLtu14MQhZy5Rj2jQMkCgRRJ5waRLTpjK4wPDUKXRUT4WNLPWOJ7MNa6dm77QWINXoXi4j\ne8unLhgvr2OPppTrmf7wT3825PCIiFDCNKTIaZMtKVKp6Pd3vfCSpa2xev932B7bRYlTRZAsEUT+\nPP7Ivc7jZ2LaFBNbWTpzeaNUluZX1ytfv+QDT5wAlKZOPmmUazsel6WpI+PKE7+O6pQSm4RMfB5t\nefSJn/I+JiI+9O5siFGlTbbEWAfV9FRJJlZjXg6lEG2GZIkgmsNjv3IfAOD+//MT1rfh7XGxkyYb\nWSpDVxmuYubI5EBbHn8cWSRVP+vihY0ozX/iSJkpdXIZPeOyZCMboiiZMF1ukqYYqdT0kXEsRVzP\nRLKUHyRMRC3ilCJVisHW2IjzBrYpoDG9+JAoEURzcRUnVeW2L2V7LgE7smRTJR6SLoXUi0/N3onF\nwGKGGON6KWSpjKpkyrYEQgeJUr6QMBE9xL2bXDGJU+oyhzpTJZnY+zJR2hQOiRJBtIfHfuU+J2la\nWFoLSplykqWc6EudHMbM6pClMnT3v7yygeVTF6ylyXY908zhcSxKKROJUv6QMBF9hKRNQPVNdylk\nKZeUiSOuayJ5soMkiSDai0vaFCJNNuugYsnS/Or6wOhdU7BNrHKUJRNTR8aTSROHRKk5UOkDocS3\nFKJKckqWRLb2jia7byqGMEM14QQxPHBxKkNVvQ3s1JDrTvy2OmLKUgxUP6NLvXhKmiZLHLFMwhab\nn/E//X8PkSw1DHrnRWgJTZtSklKWckqXdNAap35IkghiOHFJm1RCYVMRrsJGljhVyJLLOqYq9lcS\ncdlrKSdZ4ngnTYqU6aNPvTPFIRIVQMJElJKbOOWaLInEXsukY9jH9UiUCIIAysXJV4xU2MpSWX04\nl6Wjhydw9lwcccqJpqZKKnykCeg8B5/56gcSHhlRFTSSR1iTw5heE2SpLoZpXI9G7wiCUGE7pudL\nCllqI22SJY7r8X3mqx8gWWoRw/HuiohGnWlT02SpqpRJps3jeiRJBEGU4bN3kws2smRzOclSc2SJ\nM3VkvDRl+sjT767wiIiqIGEivKhanJomS5y6pAlolziRKBEE4UpscTpzecNalnTpEsmScN2GyRJH\nJ00kSu2GhIkIogpxaqosceqUJqDZ4kSiRBBEKDHEiY/imSBZar8scURpIlEaDkiYiCiI65tiyVMd\nopSqIa9uaQLSFESkWjP1uf/8b5PcL0EQw4u4vslFnmLUh1chSyEb9IYyTLLE+YNv/Ie6D4GoEBIm\nIjox5KnpqZKKHKSJYxIdlUxVVSZBokQQRBXo5EmXJOUuS0uWm/OmqBQfNln6yOfodWoYIWEikpJb\nJXnd5CRNOupo2iNRIgiiLkR5eut7P+l02xxkyZWZw2ZZ4QLkQpksuYrS8jfO9b6eetVh5+NJAYnS\ncEPCRFSCS+rUxnRJpAnSVBUkSgRB5MTjj9wLwE6c2lgd7pIWWd+ngyxxUToy1bnuyvJG77yU4mQS\nNBIlAiBhImrAJE9tlyXOsEsTiRJBEDnDxQlQy1MTZGn57Krb9TOTJfHrFOIkSpL4WMvfOIepVx0m\nUSL6IGEiakWUp+/9kf+7xiOpnmGUJhIlgiCahixPsWXp7Dnzvk0hzBzckY/lhUvacbwcZUkkljjp\nJEnkD1Z+1fl+ifZDwkRkw188/bMA6hOnVA15JtouTSRIBEG0CS5Pb/mFk8rL51fXvVKluf2Dt1lc\nWVOeH5vcZUnEVZxsBOlXv/RLpY9LECRMRHZwcQKGI3VqkzSRIBEEMQw88f4Tva+5PJXJ0vyVdczt\ny2s9U5NkSUQWJ1GayiSJBInwgYSJyJphkaemShMJEkEQw44oTyce1iRPV9KN3alYPrs6MI43cJ2G\nypKIuO5IPo9DgkTEgISJaAx1j+ylpgnSRIJEEASh5+RDHXkSxalqWdIhrl+qU5ZiiJIMSRKRGhIm\nonG0OXXa2jsKAFmJE0kSQRCEG1ycAODHPtSRp4XzacRpaWnN63ZtkSWABIlIDwkT0WhEeeL4SFQd\nhQ8m6kybSJAIgiDi8eSDJwbO043u+TJ7YF/va7lOXDWOF5M6ZIkEiaiaIGFijP0ogF8E8E8BvKYo\nimc01/thAL8CYBTArxdF8cHu+UcBfArABICvAvjXRVFcDzkmglBJFKdJiVRV0kSCRLQdeq0ickNM\noGR0DXwuiOuXAPU4XgyqkiUSJKJuQhOmrwH4XwB8XHcFxtgogEcB/CCAFQBfYYw9XRTF1wE8AuDD\nRVF8ijH2awDeBuBjgcdEEFp0MvX9P/RIxUdiBx/RA+KN6ZEgEUMIvVYRjUEskRBRbaDrS+g4Hhcl\nII0skSARuREkTEVR/D0AMMZMV3sNgPmiKBa61/0UgNczxv4ewGsB/Hj3ep9A5xNAehEiKueLn32v\n9rJcZMo3cSJBIoYdeq0i2oC4ga7MT//vv1nZcSyfumDVgidSJkskSETuVLGG6ZUAnhe+XwHwzwFM\nAtgoiuKmcP4rKzgegnBCJ1OpRMokbwRBJINeq4jG8rGP/6T2sgfe9Gj0x/vI5+iDOGK4KBUmxtjn\nABxUXPRQURSfsXgM1Ud6heF83XHcD+D+7rffZIz9g8Vj58B+AKul18qLph1z044XMBwzY++r+FCs\naNVznClNO14A+Cd1HwAnh9eqBr9OAc37+2va8QI5HfN/s7qW4XUq2/XA+TzHdjTteIHmHXOU16lS\nYSqK4nWBj7EC4C7h+yMAzqHzZI8zxnZ1P7nj5+uO4zEAjwUeS+Uwxp4piuJ43cfhQtOOuWnHCzTv\nmJt2vEDzjrlpxwt0jrnuY+Dk8FrV1NcpoHl/f007XqB5x9y04wWad8xNO16geccc63VqJMadlPAV\nAMcYY0cZY3sAvBnA00VRFAC+COCN3evdB8DmU0CCIAiCiA29VhEEQRBKgoSJMfY/M8ZWAPyPAP6Q\nMfbZ7vmHGWN/BADdT+T+DYDPAvh7AE8VRfF33bt4L4B3M8bm0ZkT/42Q4yEIgiAIGXqtIgiCIEII\nbcn7fQC/rzj/HIB/JXz/RwD+SHG9BXSaidpME8czmnbMTTteoHnH3LTjBZp3zE07XqAhx0yvVVY0\n4ncp0LTjBZp3zE07XqB5x9y04wWad8xRjpd1pg0IgiAIgiAIgiAImSrWMBEEQRAEQRAEQTQSEqYI\nMMYmGGN/xhg73f3vPsV1vp8x9qxwusYYe0P3st9ijJ0VLnt1Dsfcvd6WcFxPC+cfZYz9dff2v9Nd\nJF3r8TLGXs0Y+yvG2N8xxv6WMfa/CZdV9hwzxn6YMfYPjLF5pugIZ4yNdZ+z+e5zOCNc9nPd8/+B\nMfZDqY7R8XjfzRj7evc5/TxjbFq4TPn3UfPx/gRj7LJwXG8XLruv+zd0mjF2XxXHa3nMHxaO9xRj\nbEO4rI7n+HHG2CXG2Nc0lzPG2Ee6P8/fMsa+U7islueYMEOvU/Q6JR0HvU7Vf8xZvVbR61QJRVHQ\nKfAE4D8AeF/36/cBeKTk+hMA1gG8rPv9bwF4Y47HDOCbmvOfAvDm7te/BuCn6z5eAPcAONb9+jCA\n8wDGq3yOAYwCOANgFsAeAH8D4Nuk6/wfAH6t+/WbAfxO9+tv615/DMDR7v2MZnC83y/8rf40P17T\n30fNx/sTAH5VcdsJAAvd/+7rfr0vh2OWrv8AgMfreo67j/m9AL4TwNc0l/8rAH+Mzh5F3wXgr+t8\njulk9Tul1yl6neLHQK9TeTzH2bxW0etU+fNLCVMcXg/gE92vPwHgDSXXfyOAPy6K4ltJj8qM6zH3\nYIwxAK8F8Gmf23tSerxFUZwqiuJ09+tzAC4BuCPxccm8BsB8URQLRVFcB/ApdI5dRPxZPg3gB7rP\n6esBfKoois2iKM4CmEf6healx1sUxReFv9Uvo7MPTV3YPL86fgjAnxVFsV4UxRUAfwbghxMdp4jr\nMf8YgCcrOC4tRVH8BTpvlnW8HsATRYcvo7NP0SHU9xwT5dDrFL1Oceh1Kj1Ne62i16kSSJjicKAo\nivMA0P3vnSXXfzMG/9Ae7kaGH2aMjaU4SAnbY97LGHuGMfZlPpqBTq3uRtGp4QU6Gz6+Mu3huj3H\njLHXoPMpyRnh7Cqe41cCeF74XvXc9K7TfQ5fQOc5tbltbFwf823ofGLDUf19pMT2eP/X7u/604wx\nvhlpHc+v0+N2x0iOAviCcHbVz7ENup+prueYKIdep+h1ikOvU+lp2msVvU6VEFQrPkwwxj4H4KDi\noocc7+cQgG9HZ68Pzs8BuIDOP5yPobPnxwf8jrTvsWIc81RRFOcYY7MAvsAYew7Ai4rrBdctRn6O\nfxvAfUVRbHfPTvIcqx5ecZ783OiuY3Pb2Fg/JmPsXgDHAXyfcPbA30dRFGdUt4+EzfH+JwBPFkWx\nyRh7Bzqfkr7W8rYpcHncNwP4dFEUW8J5VT/HNuT0N0x0odcpep2yfXjFefQ6FZemvVbR61QJJEyW\nFEXxOt1ljLGLjLFDRVGc7/4jeMlwV28C8PtFUdwQ7vt898tNxthvAnhPLsfcHRlAURQLjLE/B/Ad\nAH4PnWhzV/eTpyMAzuVwvIyx2wD8IYCf70aw/L6TPMcKVgDcJXyvem74dVYYY7sA3I5OrGxz29hY\nPSZj7HXovCH4vqIoNvn5mr+PlP9Ilh5vURRrwrf/D4BHhNv+C+m2fx79CAdx+b2+GcA7xTNqeI5t\n0P1MdT3HBOh1il6nrKHXqfT/hjbttYpep0qgkbw4PA2At2zcB+AzhusOzH12/2HlM9dvAKBs/IhM\n6TEzxvbxkQDG2H4A3wPg60VRFAC+iM6Mu/b2NRzvHnQ2p3yiKIrflS6r6jn+CoBjrNPOtAedf1jk\nxhjxZ3kjgC90n9OnAbyZddqJjgI4BuC/JDpO6+NljH0HgI8D+JGiKC4J5yv/PjI43kPCtz8C4O+7\nX38WwL/sHvc+AP8S/Z+g13bMAMAY+yfoLED9K+G8Op5jG54G8BbW4bsAvNB9s1fXc0yUQ69T9DrF\nodep9DTttYpep8ooKm61aOMJnbnezwM43f3vRPf84wB+XbjeDID/DmBEuv0XADyHzj+OnwRwaw7H\nDOC7u8f1N93/vk24/Sw6/0jOA/hdAGMZHO+9AG4AeFY4vbrq5xidZpZT6Hy68lD3vA+g8w85AOzt\nPmfz3edwVrjtQ93b/QOA/6miv9+y4/0cgIvCc/p02d9Hzcf77wH8Xfe4vgjgVcJt39p93ucB/GQV\nx2tzzN3vfxHAB6Xb1fUcP4lOe9cNdD6NexuAdwB4R/dyBuDR7s/zHIDjdT/HdCr9ndLrFL1OicdK\nr1P1H3NWr1Vlx9v9/hcxpK9TrHtDgiAIgiAIgiAIQoJG8giCIAiCIAiCIDSQMBEEQRAEQRAEQWgg\nYSIIgiAIgiAIgtBAwkQQBEEQBEEQBKGBhIkgCIIgCIIgCEIDCRNBEARBEARBEIQGEiaCIAiCIAiC\nIAgNJEwEQRAEQRAEQRAa/n9fO6rKwOSH3QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x18e980f28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"idx = 25\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 7))\n",
"plt.sca(ax1)\n",
"q.vector()[:] = np.mean(k, 0)\n",
"fenics.plot(q)\n",
"plt.sca(ax2)\n",
"fenics.plot(1/conductivity, alpha=0.8)"
]
},
{
"cell_type": "code",
"execution_count": 343,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x192c7ab38>"
]
},
"execution_count": 343,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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3lGKnglPoqPj2v/RxdV0j90QVFRxi4xLy4z4nVzfH7b4pgre8nlnwAHVYM2fB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\nLHgUui50wwiH2KksRfPT1a1D2XZ5B0J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ueviZC/7OfmIe5PmrcMBUXJ6b4AF60eMIYarm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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x192c9aa20>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(7, 7))\n",
"q.vector()[:] = np.std(np.log(k), 0)\n",
"fenics.plot(q)\n",
"plt.scatter(*measure_coords.T, zorder=100, color='r')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A single sample from the posterior (and the true values as comparison)"
]
},
{
"cell_type": "code",
"execution_count": 350,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.tri.tricontour.TriContourSet at 0x1949020f0>"
]
},
"execution_count": 350,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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4frzo9vQy7/jAc9rmP5+yJIM/ICWx4ns+aHgEO56ckJXoVZFOpUvtgB8A0WzJ\nD9vLBCSyJCrBI1miEjwAwhK8F3ePo/7CBi4MnM3Iks3Pq12leTb8o998ui2vEyhG2E+1D5UsidCV\n5ZnA9x7J8DlOHEBmnDiV4pkOeQDsF6dlZamsdKlsUVpc3Ewvuu1gkZXmiXqZ6OdlK06++puqRpAm\nP/goyfs+APU4jucBIIqiLwF4HYC/k9z/TQA+5OF1Dw18qkSxtMmBvGsZngj2IJT+z45zdi3R6wZs\n0yUTbNOly6dGcLVZfPADYbuYLVuCx/crAfoSvAsDZ1HfTt5frCyZrI5OpXmzd9aNRo3Xm5tGi9r6\n4J996gr+7T8PZQ8VJ+yn2oCtLKnK8pLBD6sYYMrwRKPFj/dfwt79WRzpexQbe3+PkeOPFPkWMsjG\niYvSJSrFEw15IFwXpyUpYGVJNBzBF74kSSRFU2eHAADzN7eUrz+3vi28zXTMOO1P6lsH0mRSqme7\n6K0vJseHUS+xzDKU6BXHhzA9DIDNtpcBfL/ojlEUXQBwEcBfMlcPRFH0PID7AD4ax/H/6WGbeoZ3\nPvUsGmtbmHxEfJCcDkcQnKlXjQ4HzHuWSI74A3XRQamtNFWdstIlUbLW7nSJoF6mhRfXMXQ8GQBR\nO5aU2g0feylNmVT9Slt7J7C1dyBLAIxkiZWf2a2DBEkkTy7S1C7+2aeSnVEQp8oS9lMlYyNLl0/X\ncHX9YE0moCVPWxvSdZg6iVG6tNtKl/bEfUuui9OK+pbYBKgqqORI9ZgLF8x/3zMjtVyVjei6zO2c\nOJlKkwndcsIXOJDtd/zCc/jCb721w1vTnfjoYYoE18WS+74RwL+L43ifuW4ijuPHALwZwO9GUTQt\nfJEoejKKouejKHp+fd28n6GbeedTz1rdn002VLIkGh+ukqWZ2rAw1ZCVP+n6mmyYPF/r+KS8MtIl\noLwm06kTo6mciGAn1Il6mYDsmPGVnRvKkeFsCR7JEluCZyJL9DVdV99qCgXUZiHAmdpw4dK8uY1N\nowVuCRKnQOUI+6mSeMPTV4SyNKsY+MAjKssjxgfGclPnBvsnjUaLEz7GidukS6ZDHi6fbo0Ntxjy\n0GlZYkvq2MvU2aHcRYXu9ukzg9IUzXTMOIttf5MO9vdli+m6Srb3FcGPjAcSaQrY40OYlgGwGfg4\ngBuS+74RwB+yV8RxfKP17zyArwP4HtED4zj+TBzHj8Vx/NiZM/4XuKsatrLE4lOWdNhKUzfRznSp\nXdBocRb+/hoKAAAgAElEQVSTxWx1I8Nv7x7P9CvRa9W3N1Hf3sTUidGcLNWbm8IUSCdOVR0CQQRp\nqiRhP1UCtiV4PHPrTeEitu3AdJy4LF0SDXoAklI8oPiQB0I05GH6zKBUXEQXV2TPZStHutewQTVm\nXCdNgFl/E/UzySgiS3zpoAmmazCx6NbWCtJkj4+SvL8GcCmKoosAriPZ2byZv1MURf8dgCEA/x9z\n3RCAO3Ec70VRNALgBwH8todt6mpYWZpTlOOpkMlS7jrLMjwAuZIoWc+IaCRzt1FWulRFRL1ML96f\nNxoZDqhL8ADkZAk46MsC8u81eo/N3lkX9jlVsZ+JCCV6lSPspzxTVJYun67h6gv5aXmzWxvAQJLS\n9A1kH2MzWtwV03QJyA960C1OazPkgRan5fuWSJYAfUqTsvuysmdIRREZMnlu3XbxI8YB8ZhxKs0T\n9TPxsGV6thSRpXagmyTIQtIUSvTMKJwwxXF8H8B7AfwFgL8H8EdxHH87iqJfi6KInSb0JgBfiuOY\nLYN4FMDzURT9DYB/j6Q2XNaEeyh417u/KD3jUt9oWg18YJENeQDMZWn2znp6Zp8/w9/u6WRlY5su\n2cgSuwYVy9xa55InSplEi9kCdiPDbWSJ/r18asQqcWr3orYuzN9s4qf/VUibqkDYT/nlTR+74r1/\ngy3Lo8VdWWxGi7Pw48R5+Ol47PPq0iVVKR6QH/IAwGrIAyEa8mArMqJUyOTSDmTHPLqyQz55oyRl\n4UbTKG2yxVaW2rlMii5RUhHSJjO8rMMUx/FX4zi+HMfxdBzHH2ld9ytxHH+Fuc+vxnH8i9zj/lMc\nx6+O4/gftf79vI/t6Vbe9e4vWt1fNfCBxWZ8uEqWgIM6YCqLYg9YfU1vqwo26ZItM4PZyF82CKPd\nCR2V1bG9TKISPHZkuG64Q32rmUoPL0ssvDjx8sSLE2EjTZ0gSFM1CPspP7zpY/7fz6qyPH49IyCf\n9ADq0eJ8/xJfjkdc31lRTsbjBz0A8lI80ZAHkSyxmPQtUb9Qr2DyvYh6mVRCwJbouYoTX5ZnI0v8\nOPgyKSJKLEGa9HgRpkBxbGWJR7QQKmA3PtxElljK+jDoxOK19c1mmirVN5vWsrSw2kwvNvA7TDZl\nMh024OvnxQ6AWHhxPbOYLV+CN3c7GRluM9yBlaW5jc30wkPiRI9RiZMNNASCLkVRJYLzN5uZJDFI\nU6AXeMPTV4wniPmAJISFlRaCT4hkiIY90GNF6y6RLLHMtz77ZOmSasgDYTrkAUBOltLtW9iwunQr\ntikTwcqDTJpmBD1jIqooS75EiSVIk5ogTBWgqCzJ0MmSaHFaU1kqi073AblM5GNTNyArTyqBogNq\n+jCmlIk/EGelghIYQiUOqkl5JpA0mZTgsa9nIkvAgRC2U5xo4iMrT0UQJYOiUqWF1Sbe/NEgTYHu\nhe9Z0jXGu6CalmcKK0WicjxKl0SJlKwUj9IlKsUjROkS4DbkQSRLdBDM9y0tLWxgcmzQ+AKg0vI0\ndXbIeiFbwGzx3qIiUTVZKkOUWII0yQnC1GHKkiXCdnw4S7tlSUY7RovPDPv5Hll5EglU7v5cPxN/\nAM5KBQsvTXzKlPYOOUoTjRmnVElVgse+jmwSHskPL0uXHxxOL0XEyYUiZXqydIl2rrI+tUCgG1EN\neFBOE7Poy2Qlg1/w1XS0OFtqR7JE5Xh8ugRAmi7R8wNugx5UQx5EskT7CpMhDy7C0y3y5KuXyTdV\nkKWyRYklSJOYIEwd5D1v/xyWGvkPrKnR7NmWhqcVvYuMD68ivj8kSZpmhmto3GhmLs7PKZAnEXw/\nk6o0j5UHFuoXImFJR3m3Rntn7vvCRmY9JhW6fiXV2HB2e3lZ4ikqTu2Gl1uZLC2sHgypCClToNtQ\nyRIdSIqk6VLr78NGmkyglIdE5oH+qVR4KDW6ee8h7B95FfaPvAobe9dSWTrS9yhWd69n0iV6rM9B\nD+y/fN8SIJ6IByAnSyysLJH4uMCnT1WRp6K9TLrjAZeyvEtDNe+y5NJT1S5RCqgJwtQh3vP2zxnd\nb3o0+yHiKgmqMjxAfLZdd+a+E71GPGVKE10AeBEomTTxpXkEL018aR4LlaeJ1i9i06b69mbabwRA\nKE0kR1SCR/1KRSbh0QKwlx8cxtxaM3Ph4cWJl6d2iZNs4MbcWlM6pEMkSzxBmgLdwvf8+tO566bO\n1jJ9TGVJE7uOEcnJS62SYOpjYlOmjXunAABr904nX3OitHbvdCpKx/svYePeqYwsLd1ZTZ9rsH8S\njZfWhOkSYDbogdIl0ZAHkSzRgbBsyIMPWRJRNXlySZl00lSmZLjIkmp72IVq6f+dEKWQMuUJwtQB\nTGWJh/2DoRTEFNMBArawUkWlVwR/wFnW2Oyy43hWnkQCZfVcGmkiTPqZgHzKBIinyVECBByUz6WD\nGpi0iQ4I5m6vZ1IlAE6yRMKTlhauHfRrsd+jSpzo+26nOMnSMFUpnkyW+B1p40YTT3w4SFOg2vzU\nZ8zfoybSJOLy6VpuIAIJB8nS/m6yyNLuXrJs5NixhzF/ex1njo2nQrN59ySArDSxF1aUjvdfyogS\nyRKQiBLJEpCI2e29406DHuj7o58B3wtjOhGPxbcs8YjK9toJpUyqfiZRygSUK0UyfMsSv0BtpxOl\nIE1ZgjC1GVdZUjEzVMscgLs04toebJqmS7lyMsXO0wXTON7ra3ICZZs+qaRJNWqc72fiZYGXhnSU\ntyJtApBJm+ovbKRpEpsquYwNzw13YGSJ/R6rKk4yWZKV4okQyRJJd5CmQFVhZWlWsOC5CFXp0qWH\n8gu1ssytNzG33sSRneSQ5MhelNywm3xN0kS9TCRNALC9l8gSK00kRvzl+s5KOjqcTZVYUaIBD2wZ\nHitLpoMeVEMeZBPxCNmQBxFL82vpxRe+xcnm8arSPEqZZNIEuB8LmEzLE93flyxVlSBNBwRhaiNF\nZMm0j4k/y22S6ojWxFHBT0BzxdeEpU5IU+b1HdIn1YeszahxkgX2wssTX6bHp02iMj32AsBpbDi7\nvVTGdrl18MB/j50QJ9ntbCKWXqeRJVXfEiF6PwRpClQNVpamBAudq9BNzhNJ0+XTtfQCQCpNF08k\nQxbYARC395ISPV6aSIz4C6AvvyNRksmS6aAH1ZAHouiQB5KkyfOD6dc+5clFnGQjzW3GnKum5rmW\n5tGCtsLHWQ5qKEuWOnUMoyNIU0IQpjZRRJZc+5h8pDn8BDaZLPEHn6YLroqmiV0cq1n3R3VamtLt\nUKRPInT9TKaleSwicbAt02MFymS4g0yWSH7o++AXApSJEw2+KEucZAvoKn+uFrLEQ79/dhojTT16\nxwfCzihQDWzK8FS49jPJpIl6hEiagIN+JpE0sRdKkx7on8Lm3ZMZUdreOyksvwMSUXpp93g6EW93\nrz8nS6pBD+z3LBryIJIlAEJZUpXikSxNnh/MXFh5KipQKnESiZDNmHMVKmlavLZZaAiEK2XLUlVT\nqCBNQZjawmt/+De8PZeqj8lk0VRTkRGhS5b4g0/2LL2qUd749TWjxasiTSx88pS5zbKfKf2akwXZ\n75QXB8C8TI+QleDRc7HiIZIldvtZwaALXS86wOLFiZcnV3HSyZIoXbId8sDuTEWylD6+ojvHwOHj\n9c9cwdUXiqf+RYdA8NJEY8bZIRDUzySSJiqvowulSao+Jb78TpQqAcjJEjvogV1ziU+XTCfiUXpi\nIks6CWLlie5fVJ5EwiMTIpPnoUETInRT86bPDGbEiZUn2bGAKmUC9GV5ZcgSnTjrdL+SCYddmvo7\nvQG9zvve+Km2vM7MUDaVmb/ZxNTZ/IE2TcuzRSVLLj0jqrINUTnT5HmzIRczIzXUN5poLG/mGiht\nUEmXy/PODCdrSTVuNDF5npHe1u9tYbWZW7SX/R1efqiGq2vNdF0t9qD+6m25NE2PDOPyqRFcfXEj\n/T3N1IZx6eQZzN5ZT3+vM0OJNM3vrOWkSTTYAdCX4NF20/ciShPpuvr2gTTl3ret57h6K5Emfm0x\nek3258BOgyQxYn8GNrIkwmbIA5CXJf799Y4PPIcv/OZbha8VCJTN65/xWxp6aSiZpCfaD116qIbZ\nW02lNPUDuD+QyNLs5gYuDY9gdmsDGEj6mfoG7mF3rx8Dx+/jpd3jeGBgD7f3juPB43u5yXbAycxX\n23sHt/OiBCDXq0SytL97FPXd1t/t7hHUd7NT8YjLp2uY3231Lu02lX1LsiEPphPxSIZ0sPdr3NjO\nSNPE1KjRc2Sez/PwiaWFDUxczLcGTJ0dwvziJi5ckO9zSTLn1rexeG0TFx5J7is7FpgZqaF+o4mL\n57PvS/4YisdUllghM5Elk/sFqkEQphLxLUuNa5uYfER/sD4zWEN9++CA9argIFNEvbmpXMxTJUu2\nfVC0nUWYHB9GvbXTyTxv6+t668PIRHBEZ6Jk1Ln7mgoUSVPuesEHNf0O+QMOlTDwsAJxeSQrDSRN\nAFJxmhmqpXLEwm6bbn2lTL8V0+xMv2s2TWMF0UqcWq+hEyd+hL7sPaqTpaJDHnhEO8nGtU38k7d+\nAn/53M9JnzsQKAMXWZo6W8PszaZ60INGmlTM3kqGJlxdb+LSmUSacBxJP9PAy0ppSrfxQXWP7fzt\nddzey/cpAfpUCUBGllSDHuhAWzTkQSRLuiEPgD5dUuFbnooyOTaIxuq2VJqApDRPJU1A8jMsKk1A\n8vuaOlfLXQeYy1Ivi9I7fuE5fOG3DufJvVCSVxK+ZcnXekwyVMLD9r+wqM7W8+V4nUBVokcxuGj1\nbN2HGH8/0XOpEB1E85MOAfWocaNhHlzJGoDcYAggPxSCv9B9ZCPD6bX4keGsLC2sNnMJDHsd+z2b\nlOqpfg66BXBlPysWn0Me+L4lQLyjnB4dwjufetZoewMBH3zXJz9R6vObLPopfFxrqh47dlw2OY8d\nN04XAOngBtmFfQybKlGvEmAnS4B40ANw8JnH9y0B9rJEmKZLuucQle21G9X3azJqnBBN0bMpz6Pf\nEwnS/EozTQdVsrRwo3koZIk4rKV5IWEqAVaWGivb3p+fzpoArdSCKfMSlXaVgW2yxB542pbjFYE9\nwyS6zcfzs/CvlVtXQVKaR/C/v5nBGupcaR5wUJ4mQpS88OVqfJnepZpmkWJFqgRkBUOWKrG/V/q/\nrBxRlziJfg7SxImRJkqdTETK95AHgn/PNK5tZk6IvPOpZ/HZjz+h3b5AoAiPf8n8oGf2VlObCsm4\nNJSkUXzKJCKzbxhoCchA0s/08omXcWQvwsvH41zSlEzOW2We6XjuuVmmT7c+xyTldzQynASJSvCA\nRNzm9g56luZ2DpIlAMpSvCIT8YiyhIakiU2d2p04KUvzbm4ZPYdN0gQksnNRUCYfUiU1hzFpCsLk\nGZEstetDhy3t4g+02VIuUbmSDSpZKjIdrywyglnyh1VOoARlgUX7mQD1BMSrotRlNF+uJurtUcH2\nKgH6wQ6sSMh2Oqk4te6rEyddfxOgL9VjrxMhGvKgkyXTviWRLIkI0hQom9kXN3AEEWZf3Einu4mY\nGlWvoWQK/f3qlpOgUr6+XWB/AOjfTfqZZNKUTM5bBdCPmYfMTuCxcsWW3wH2qVJOljSleGzfEmE6\nEY/wkS7pnrvd4mRamkfo+prm1rMnq0XSRNeJpEmHaa8SewK1yPEHHcP4eK6i0LY88aErePbDb+nY\ndrSbIEwlo/qgWVi1T59M+5hYLj9Uw9XW4oO6wQ+6PiYTWVIdjLpiMvBBRac+XFhZy1yv6WdipUnW\nzySDP9hnhyXwqQsrTjpMUiXaXpVIiGC/b0AhToaDIQC5OKlQlTqaypKqbylzHfUvjIqnQQVpCpTF\na7/8rwEA08PDuaEFRSBJ4HtA2H4mkzI9U2lKhGYdM0OUEK1qnpk4OPSp72XL7yhJspWlvl1gfvfg\n/0Cr1HqnKZQlSpdsZKmd5XKdECeSJhHs1Lz5m1u5Ej1eoKbPDGKOSZkAO2lS0YlUibZzcnwYjeVN\n8XFFycc59JrsCeDDJE1BmDzCp0smsjQxaT4sYXp0CHNrSSw9M1JDnfmjl5V42UBlWjJcZIk/W1+k\nHE9U3tQtiEoB+HLK9HrNEAgRKpESDUvgy/RMMUmVWJGQia7ovcqX6QHliJMMn0MebPqWRJjU6wcC\nLrz2z55BfWcTfAszDS3gsUmXps7V0r4PkTTZoJOmS6cOJuelpXM4qnzOmSHFyUBubSX6mkrwgOS1\n2RK8dBqeYHFaUSmeaMgDYTp5ziRdWqrfzF03MXPW6Pllr0fi1I60SZUyAeKR4/OtnycrTi7SRIjk\nyVaUTO7rgmzQFD+Qytc2sHImeu3DIk1BmDxh07fkIksq2LRiZqiGOpNOmKYSOnwmS+0sx/OFrHQK\ngDbx0406t+lnEmEqUpQ0pmIwap8E2qRKsj4eKkckRMII6MXJZhQ5kBen3LpOgjLHokMe0u3V9C2x\npD0No0N417u/iD/4/bcJ7xcI2PLaP3sm8zWV5elw6V8SSZPqviL6kMgSL000bpwm56lEiKjvrDNi\nlYcXJdsSPJks8emS65AH23TpwvjBcy4ub2ckykWeUnEqOW0yKc0TQX1O/EQ9G2liqUtO9nWyV4k/\nUc5ThkiJUqXDShCmkpB9mPiWJRWq8eIufUy2suRrOl7Rcjzn1+UkSXSAO7e2lbufSKCk400d+ply\nz60Q0DojNVNna05DIwDxukrsa8tSJaE88ALVur+tONmMIgfyvV26hZRthjyk21Sgb4llinmvBWkK\n+GJhZzUdaDAzNKwUiCKwjfMkTbpFQUXVBXUmYaJ/adw4TiAtzTP7PtRDgdM1lmAvS327B99f3w4y\nZXh8KZ7tkAcW13TJpzy1Q5xUpXkqikoTC/u5Xd9odjxVKoLwRK2mrM9WlA5DyhTFcdzpbbDmscce\ni59//vlOb0aK6aAHU1maX9uSNjRSSd7kI8OZN3R98+CAu751cJBd3z5ImK7eOhCmq7fFwnT1xY1c\nD1O9ueksS6JyPNEBvqocr3GjKS3HEx2QumIiSDro9wOIxYlqkHPXb4qlQbaQnsskRJJnXeJI/W48\nRVIlo+2T/AzS27fEaVN6+3ZWDotgO+RB9B6VnWk0TZd4qihNURR9M47jxzq9HVWkavupx/70I+mA\ng/3do2mPDsnBkZ0j0pI8UcIk60eiyXBA/vPLZQIqPcf+QGv9p1tN3B9Ibnv5xMvax08Pmx3w0fAL\ntqfryM6BZPW3+pJsUiX6f5G+JSBJl0wHPSzVb2YEScXi8oGUuKROjRvM40sQp8bqtlXKRNBEPf44\nam59OyNNQH6YgkuS0s4JeGUmPnyvrelr0DZdPF/DlV+unjT52k+FhKkg7ZQlQNDHxPyxsylFkfHi\n7OAHX7JEVK0cz4ckiR5PyRMvTbJIXZU0iagrUg7Z711XxkbIkpciqZIJ7M8AUCROhhP1AHtx4oWQ\nxWXIQ9F0iSUkTQFXfvqvPp27rr6zDj51ufpCto+p6HS8oktELNxoJmV5Jw7Gk4PrZ5o+o36N2U2z\nFOcIDnqVfJTgAcDRnTiVpf47+6ksEaZ9S6aI0iUVJFZs6mQjTu3ob+JTOBOBsk2aCN2yIDw2qRK9\nD3hhs0U2SMoHthLGbgf1fL3lI1cqKU0+CMLkGdUHRlFZArIJBkuuj8lxvDg7+EE2atpVllxQleO5\nLN7rW5BkkNjKphpKh0Bo+nvS+8pEaiu/GCxxcayWkYC6YpiBDJNUSfR7Mf0gpufQiZPJYAggX5LI\nIur70gl9kb4lwnXQw1JjA+95++fwyf/jf1HeLxDgWb17HcBxLO+2xm8LyvGmzxwsEssiS5d8wS8e\nykIHhzNDNdRXElni+5lE28xyRFOKJxIuH/1KANKeJQAZWbIpxbNJlwAYp0uixxQRpzKkiRdK6m1i\nkQmUjTQRKnkCsvsx01SJTRf59aGKICslbAciUWLpVWkKwlQA00EPJuPDbWTJdqw4YTteHJAvTGsr\nSy7T8VQHo6YfVqIz+mVJkuh1RNKkqp1mv1dTeco8XnFGl09mXNI+Vaqk+p3wTae6D3qdOJkMhgDE\nqZPodh02Qx5kZaKqUjxCli4tNQ4OEoI0BWx4+zeeBpAs1koLtRIzQ8OY3TIb/MAjK8eTIRMj3Wf4\nzEgyTRQnkOtnojI5EVMG0zGvvtCUCleRZAlAZq0l0ckQ34MebNMlEUXEiZUmoLzeJhadQOmkidDJ\nEyAWKBtZSl/XgzSVmTLpYMvvVPSiNAVhcsRnKd68JDViEcmS6A/Gx3hxQlaK5ypLst4lFS6y1K4U\nyQS2hJKFlSbCRp7Sx1j8rvlkxhVWlvhUSfY7kS3oS8gEihcnWZkekC1TVKVONti+P2Wpp64Ub3Fx\nUypLxEXP5TuB3ue93/wY1u+uIRknd8DCzir4EdzJxDx1GmOC6KSN6ThmFX07SWkeK02yktvZW02j\nckI6AFLJFZuwsZLIfp/s98X+nw6UAfEobBPKTpdUz0PiZCNNRIOTvXYIFAA0WgJF4qSSJgCpwBAy\nkbF57/KixOIzaWpnymQqSiy9Jk1BmBxgZYlwLcUjWVKlS6pkSXqgWWC8uCxVKkuWZOmSqyy1S5Bk\nJVS5BfRGhzAn6WcibOSJRTb6FFCvdVQEVpZcm11tBSoVJ0mZHmCeOqkQCZLp+1P3syhSiscTUqaA\nLVSWN/PQCOq3WmXXrT4m0QK2RfuXeGw+I/gTD/0A7g9EOWmSVS70aZ6f3xfOrjVz0sR+/+zrsCka\nm5rZpEsm2KZLvmSJ5cL4oLU0ERl5YpInoNwFcEVjyWXSBOSlZo47uWUrNSpZYl+zqDS1K2XSld8J\nH9NqCTFdVqBbCMJUkCKleEVkSTZtTXgg6WG8uGyBU5OeJRdZUmGaLPlGtOPjU4H5NcmHckuaiCLy\nlHmcYsCCSqaKYJoqWT2n5PvXiRPgto4TYSpILDZDHoBigx4IUboUpCmg4q3/+X2t/53E1INnMH97\nPXO7rI/pKrOArc10PBdUfaj8Z0L/bpyTJh7TA7RZwQnEeYE0lZEumfQvkVy4jhGX3vfqKgBg4vKY\n8WNYaQKKreEEtEeeRGPJWWkC5Mdd7O/NNH0CzESJfx0fSVOZKZNtqsROxaS/xTd97Ar+8H/tjZQp\nCJMlvtKlorLEw44VN0XXx5Ruh2ZhWt1UNR4TWZKlSzpZ8pkumQiS6HaVNBFlyBOP67Q6HfxkIJkQ\nuPbasetAaMXJYKoeoJ4qaJO6uQx5AIqlS6pSvCBNARG/9K2PYOLkGJburGauT/qYksEPLKYL2Kpg\nx4nbYHLChc6ms9IkOoira9Z6ooM4mrhH0nTpoZq0jK+MdMmkf6nMUjxbcXIt0RPBf19lle5Njg2i\nwS1+S+LKihNgJk+APH2ylSX2+YtIU1kpk0v5nSpV6hVpCsJkAS9LjZVt5QK1ZcoSewBJ0/Ey99ty\nHyue2Q7NRDzTEdREEVmS4UuWXARJBCtNhKk8AcgNiGCRrdjteoZJ9XOVLXbHbpfsZ2+6oK8KX+IE\nFCtF5BMl074lwE+6FAjY8Nvf+SBeur+CB/qn0uvW7y5D1sdU5gK2gHoKng28NImely/FYw/4ZGva\nEZQmzd5qZr4G2tu7ZLvmkvHzkiS15GdpeRtLV1ed06Yi0sSiSp9UmIiVSJqA/O9kntv326ZPtqLE\nP6fP6XlFcCm/A5K/rV4rvxMRhMkR11K8oj1LgFiWJi12DMlrHJTlSe9jMD5chKpvCXCXJVW5k4ss\n+RIkEezzWMkTJxqq9IkQTe8xRXV2VyZnbKok+7n7FChXcQLshmIQopI71cLJ7DaKcE2XiIXV7ZAy\nBZyZfGAUjZeyB6FsHxMxPTyM2U0/gx94bMt2FyUnGo4CuHciQv9unF4nO1lU32hi4UYzc+A3v9KU\npkzEJcFi6/RYoqzeJZepeCbpEi9L7P9d0ibf0kSYiqJIrGQCRdIEqEeQE3z6BIiP14pIkui5XKVJ\ntrajLS6pkg29kDIFYTLEdCoeoRr04CpLsuhVJEtsukT9S0RuvLigj6noWks2E/GKjg83laUyBUlF\nWfJE6A5G6htNpz4jn+WPPgTKRpwAfepE2AhS5nEFB5BcuDCMxcVNzK9tSd+HE5MjWGpsaKUpEACA\nz9afwt796wBO5W5L+piSwQ9Eki6JF7AVHRzI+pdU48RlqEqsAfEB6dz6No7uxJmDStnAGL5ciV2f\nMLPtmoFI7UqXXPqWbErxJiT3nRgftE6bypQmE0Q/I1VpHzsIIr3dQJ4A8/K9onQqaSpblFi6XZqC\nMBlgI0u6dKmoLOlK8QCxLLE7BJIl6XZoepYAv31LgPv4cNUBaacESUXZ8iRCdVDiMijDR5+YTqBU\n35+JOAHycj1XQWIxEfnJR4Yx1yZpCilT4LP1p9L/P3ziHK7vzAM4KbwvLWDLQn1MsgVsdfiYwAnI\n0yUge1CZvi631AbfBK9Nmbaya7TRvrJIuiRjaWFD2b9URt/S0tVVqSwRrtIEAIsFhkH4RFTax0sT\nS8NiAVwW0/I9F4pIU5HhD0VkyaSiqVcIwuSATpZE6ZJurSWTRWldS/FEsiQrx9PJkkvfEmEzPjx9\njONEPBKRTguSCl/yxCJ7/6h+XrYCZDpO3YacQBmkT5nhGAYj2UmcXIZhyEoeTdK7ubWtIE2B0nl5\n/+9xpO9R7f1kC9jyfUxTozXMrjWFk/JMce1fkpU7LS5uoh/Zz5o55uAylyoZpExsgsTLU5F0yYay\n+5ZMIGmypdNpkwh2EV1VqR6hWwCXhS/f8w1Jkw2dXMgWsBsf3s0pUxAmDXy65CJLhOyAUidLJiPE\nTUrxCF3vkkqWZOjWW7IdH+5jIl7ZsiRaH4dH9X5gcZUnFpVIuaZCMjmSjVNn8SVQ9H0VTZ1sREkk\nSPz0wsnxYTSWN5XSNPnIMBrXNo2lSQUrTUBYyDZwwJcbTwqvTyblNSBKmpI+JvMFbGXVAzqEvacO\nPV41e34AACAASURBVJeLi5vpaGgdqpRpZqiG+oq4SV1XbmiaLtG2+qZo35KOifFB60EQtD1VliYW\n0TFcLn3SLAnTDtqdMrWL2S5OpIIwKTCVJUI3FU+EiSzlrpOMEC9SimeSLAHt7VsSPs5AlhYXN0uR\nJV6QdAesC6vbSqmSvV9s5InFtxTx26LCRKAIW5Gi74tPnQD5UAxduR6PTpBY2BMYJE0qbKRpXvPe\npfeMTJxCynT4+Prym9H3cgPAQ8r7iSblEaIFbEV9TL76l4Bi67exyzZMnxm0SpmctrUC6ZLPvqUy\nqKo0sehSp/Rxkul6PFNnh3IlekDxMr0iKVOVpYlk6Q1PX8Efva/7UqYgTBJEfUsyXEeIm8qS6whx\n01I8Va9S5n6KUjybxWnLnIjnuqq6CFtB4tEKlUSm2PdSTkQcm091Pxffgil7PplImXwvqr4n5VpW\ngnI9XnKKHLxNjg+jrmlg9ylNQF6cQtoUUCGalEfIFrC16WNqR/8SIUuZ+DPyJilT5nkFiZOv3iVf\n+OxbKoOq9TXxUOrkE9mQCB+9TbYpEytNgPtyI2WiGrBSdbwIUxRFrwHwCSTLIHwujuOPcre/DcDv\nALjeuup/j+P4c63bfgbAB1vX/3ocx8/42CZfFBnyQKj+cHTN+y59S/Xt/NQfdjKeLSZ9SzJ8DXmw\nkSWXg39RElT2Qajo+flUihfxTPpkKYdV6OeSipRDOV+aPCnECRCnTq6CJCuPpdt8SBMAZT8TC70/\nSL4vjg2GlElCL+6n/t/FVwN9rwYAjBx/BBt7fw/gtPIxq3ezk/KImaFhzG7lF7CdveXWx7Rww206\np2lSk0uZmDPyJikTv2+SCZSvdEk38EH52JL6lsqiimlTu0gXx23t01zFySVlAtyrLNpNN6ZMhYUp\niqI+AJ8E8D8DWAbw11EUfSWO47/j7vpv4jh+L/fYGoAPAXgMQAzgm63H+u+ks4DSJVNZUqVLur4l\nGb5GiOdfV7/+En9/Gbq+JRGypvui48NtZakTgmQCuw028tQpVNtng6gM0XRHI1sE2GQNK1+Y9DPR\nNumkyWQIBA8vToEsvbif+puVx60fk4wWX9fej/qYpkZrmF9rOvcviXBdM47FR8rEoxOoTlF235Ls\neWz7mHiqKk2T5wfR8FiWJ4Peo77SJlt4ceq0NM1uqcf3dwM+Vqj7PgD1OI7n4zi+C+BLAF5n+Ngf\nA/C1OI6brZ3P1wC8xsM2OeNTlmT4KsUDICzFk0EpkUqCsttZrG9JVorH42t8uOrgcqmxkbkAiZyw\nl6rBbxu//bbwPwPZxWU7Zc/vAv0eXcorp0eH0vdK49qm09h0Gap0CTj4e9X1S9DfveqkCe1g59e2\ntBM2Wejz6F3v/qLxYw4JPbWfUsnS2MDD2Ls/q3z89OmR1mhxwW3D+fe47ECnE/1LxNTZocxnBJ/y\n8K9BX5tO7psZqqX7MDYtYwcSLV7bzL2uz4EPnehb8lnKR9u9VL9plZL1ClNnh9L3qdP+7Mxg4ZLP\nMk8UFuUNT1/p9CZY4aMk72EA15ivlwF8v+B+PxVF0Q8BuArg5+M4viZ57MMetqkQvmSp3aV4QCIw\n9e2mdDE+Ks3TJU06WZL1LaXbYdG3BJQ7PpwVpG7FNHnSSYrroApdeiR7XpM+LRFTo0PWSROLrlxP\n9L6yWdtKhu+kCYBz2hTI0FP7qZP73wYA3Jass0S8dF++FhOxsJOflAckfUxX18UL2LKIyq5dx4n7\nQJUyUWkev33tWLRThMnAh6r3LelI+5paaZMJVUqklgqkTESn0yZAPUFPlbyWTTeV5vkQpkhwXcx9\n/acA/jCO470oit4F4BkA/8TwscmLRNGTAJ4EgImJCfetVfC+N36qdFkyKcXTjRDXUUSa2PTJpW9J\nNkIckPctlTk+vBdkiUclT/ztRZ6bfw2XA3FTkRI9d1FpAuTleuxtur9JQJ8usfiUJoBJmyzLTt/1\n7i/iD37/bUb3PQT0zH5q+eaP4cTRGezcqyvvlyxeu6K8TzJaXJ8Ez95qos9qK8s5sz1/cyuT3tCU\nMtNeJtF26QTKJl3ySa8lMirxW2TWf2qHLFmV5XkaMe7a20RTIAFYjxknVBP0ikyRrG+Jx/Pz9EI5\nHuCnJG8ZwCPM1+MAbrB3iON4M47jvdaXnwXwvaaPZZ7jM3EcPxbH8WNnzpzxsNlZ2ilLNustyUaI\np6UCkl4hSn9kcsOW57EXus1lcVrdCPHc9SWPD+9FWeLhywrL+F7Lek72IkvGipTn8VC5Hlu2R/hI\nlzLPZypXFq/rUqYXSvNSemI/tbPxE3jw5Ub69YPHLqJ//1vax23fb2jvk4wWzzNl0fNaJqoDTP7z\ngS9jUu1rZkZqmQuQSBJdfGA78MGlFK8bWVzeTmVpYuZspZIlE5YWNpQXESRONvs0EvMi5XmqExgz\nI7WOpsLdUprnQ5j+GsClKIouRlF0DMAbAXyFvUMUReeYLx8H8Pet//8FgB+NomgoiqIhAD/auq5j\ndFKWbNGNcjWVJhIklSiJnpfFdoR42ePDD4MstRvXniQT2iVNPL7TJZbJ8WGjv+vJR4aNtgNIPl9c\n+5sOOT21n7Jh4qS+eX9mSP/+njpbyyw6Ob8iryYoE37YA98vJOtlMh02wQuUKF2S4eMzqogsLS37\nSUNoAduyqIoo8YvaSu8nEaLJsUHphR4ngpUm0/fM9JnBtKepiDip/g46KU3dQOGSvDiO70dR9F4k\nO5A+AF+I4/jbURT9GoDn4zj+CoD3R1H0OID7AJoA3tZ6bDOKon+BZGcGAL8Wx3Hbf2PsmktF0EWs\nNkMeiJnhGuo3xCkT0FpPYlW8DhNwUJ4nw0SQCNu+pfT6kmRJV5rkS5ZMP1Rt0JUCVI2LY4NGI/RF\nmCwUmL6GpPTPR3meDN/pEo+uNI+2YU4z3ISF728C5H8PoTSvN/ZTOxs/gbv3kmEOVI53++6C9nFL\nd+wOfJMJeaIqxM5DEyRF8J8NbC9TOjGMO1gsY3KY6cAH1X7FRZYmLo9VYqS4DlaUOonpmkyuo+Cp\nnI+kie+DSkv0LHub6ISAS5mez9I83+V43dDL5GUdpjiOvwrgq9x1v8L8/wMAPiB57BcAfMHHdpRJ\nkQNGE1Qf3F6kSdLPZIqub0mEbIQ4UO748KXGhrUsqXZek+f8plSNlW3l61VZplx7mUTfr+j7NJUm\noog8lZkuEab9TPw2uYhTQE2376dIlm4fmQT267jT913A/gLu970a2G9gYy+ZS7G6mywjdX1nBQ/0\nT2Hz7ioG+yexvXfwNzj3QnIQR/1L9a1NzJw4g/ruJi6dGsHc3sH7ab5Vqu1ztLgIm54gYS8TkzzJ\n1rDJ9S8ZChSfLvlarFY38KFX6bQstQuSLRIn0fAIdiAEYNfbBNiLk0qMZkaSY81ODYCoOl6EqZvx\nlS4B+TNcNpjMyW8opAlIxEU1Zlw2BEKHSd+S7Qhx4W2exoebwB/A+5YiFbrXakhkqtMiVeSkAf89\nkzS6SBOLaPFem7/BstMlwG4IBIB0EARgLk6AerHbkDL1BrePTObSpe27DewfeRWAazjS9yhw7zqO\n918C7q2k6VLjpeQzZf72OsaOPYy53Q2MD4yhvreBiyfGUN/dRH0r+Vua22z9u97E5dM1zO8mC9fO\n7zZxqQMleDyuKZMInUABcokylTtZWVagGJQOFZVO0wqIIrBpk0yaAPu0CXAXpyJT82RTmotS9ZTJ\nRw9TAMUXEdXJEiU1MhEpOgSCZ/5mM72wj1e9NlGkb0mGr/HhS/NrySjXc4OZS5Xgt422r4zSwE6h\n+55UPU0sU6NDmQtwUBfOXlwomi6xmK7RBCTiZCtynRpVG2gPyzd/LCNLd/q+CwCSdAmQpksAMNg/\nCQA4c2wcgDxdAoBLp0Yy/8rSJdf1l0z6gFyR9TLZ9HzIepeKYlrWVbXJeFUs8Wvc2EbjxrYXyWln\nwke9Tb4HQhA2PU6q97bp36dJOR5RdjrdLoIwdRFlShMrSKwk0UWE7QhxwL1vCfAjS0B70yRfVGWb\nTUXGBF/SxMILVNETGSrqm830YoKLfJkOgyBUQyDCxLzuhpWl23eTUrztu4309iN9jwJAki4xsOkS\nMT6QDIK4eCL5V5QuEZdafa58utSJgQ/EhQvDueEPBL+YLS9OrgKlw1dZbNHJeD4HP1QJVpQ6XW1R\nBJOBEEUXuzURp6JT80xPmtim0lWemHeohUlUjqc7i+96sDg9OqRNUUzwKU0qQVIlSqrnV5XiFRny\ncJhlqZcpQ5p4pkaHrHc8pumSzfpogPnkPMC+XDCkTL3J8s0fU8pSUo6XTZeAZNgDny6NHUvW22XT\nJYJPly6fdhMidt2idiMbuEAHkUUFih5n+/o8ZVULTFzWT0TsNkiUgPLK0n3+PqiKhS4iyk6bAHNx\ncpmaV/bJkqpK06EWJh7dwXRVRlT7kiYbQWJxHSHOE2SpPeg+vJ2es/VzdxkAwdMOafINmypNnq8Z\np0zp4y2mEYWU6XCjk6WNvWu5dInK8fh0ae6FjVy6ROV4fLo0v9ZM06UqYpoyieDlyXZBUB8L1h7W\ngQ+m8KJUlizZ/B54GRJd6DnpeXXiBJiNH3dFtYaTj9K8w8ShFSafwx5YXM5kuyAreUtvN1yjyZWi\nfUs6WaI4OsiSPybPDWo/6E3gf94+pkdWSZpc0yXb0jzTfiYb2DWaZARp6h7+ZuVxAAeyBCAnS0Cx\ndKm+tWmVLnVq/SVTbA4yRZP0fGK7YG0VaXcfU7tEyQSVDKkuBC9OIlhpEolT0RI9QC34RUrzbMry\nbPuYqpgyHVphKgPXfgnXxvKZ4Zo0ZQISqZGlTK746FsykSXgcPcs+YTd4YgGSrgOlbARmMaKwXoX\nFZImFSIxInkqq5/JJmUKC9v2Fqwsbew/CCArS2v3TgPwmy51E7KUSQfJkipdMj2hubi4aVyOJ2Op\nfrNw/5JvOtXH1AlREp1EVMmQDbq0yXaxWxeoPE+G7XCTKp80KYtDKUxlpUudQiVNgLw0z4SF1Wbm\nIvojse1bAnpTlpbqN7WXqmL7c7IpT6WdX2NlO3eRbUfVpUnUu2QrTUA5KROQSJMqbQopU/WhdEkl\nS2wpHpsuEXy6RLDpEsGmSzQdzxZdo7hv+L69+ZtbqUCpevpcZclmrSgZdCBeJr4GP5TBhfHByu0L\n6ffhQ45Ur2GTNonwUaLnUprX7r9romop06Ffh8kF18U7y2BmOOmfkK3RNDNUQ32rqV2jiYUXLNWZ\nBJe+pW6SJZsP9gvnH9LeZ5F5PtvF+ybPDaLRhjUjyoLf7qX5tZw0UeLluk5T2ehkaPJ8kvrWN+WL\nNqf3ba3PZMrc2pbVukzAwZo1JE1lTg0M+EcnS6u71zOyxC9Uy6ZLQFKOR+su8QvV8umSa/+SS+9D\nURFhUybd8BOfyZKKTpTjVXEMeLfQrp6yyfODaNyQ79/YNZsA5NZtStdsslzoFpAv6AyoF7RVMb/S\nNB4x7roWaFU4lAlTEaoy+IGl6BAIUYrEXmS49i2J6LQsqRKhC+cfMrqYYHPfdkM9TqYUTXsoeWLL\nL/jkqYpJk24ynu3kvLJSJkKWNoWUqdq4yBK7UC2fLlE5Hp8uzW1uFp6M10no/c2+z2XYyJJp2Wyn\ny/GWrq6mFyApo6vaSPBAFkqbOlGi51KaJ0uZbMryXBe9rlLKdOgSpiqV4/lcGNMmaRLdVuR1WVyG\nPPiQJVtREiVHVRWZw4LobJtK4Chpyj1PScmTTand5Pka6jf8p0xFCGlT9/D15TejH26ytL13EgCs\n0iUf6Mp2yly01gafsmSLj3I8PkUKctS92KRNfNIEJNI0f3MLi4ub1stKLF7bzP0thJRJTUiYPCNb\n82VubcvoLDG7GKbtqGLTpIn+r0uQVDQUB4NlyNLFscHCsqRLjgIJZa0R4oKu/JDeF+zFNHlyWRvN\nOj0y/Bs2TZlsR4zz8GlTSJmqSxFZkqVLBL9QrQqb6VZVECIZc+vbVrJURPB8l+PJUqQgS9XBtYfZ\nZCAE4HeKnq78teyUqVsn5h2qhOn9j38cSzduWfeOtBs6KKNeCBNIXkySJld0wyVshzzoZMlXCR77\nQRXESA31D5lSxRLVMrA9eQGY9zO1M2Ui+LQpUB2+vvxm4ehwG1kSpUtAIkp8ukTleCpcy2mqgq0s\nmdLOcrwgR9VCWKWi+B0tLm+nj+GPQUmaZGkTSZNp2gToe5umzwxirgMp06WhGma3mtZJ0xuevoI/\net9brLfLJ4dKmLoN07PZNmJlCy9JsgM/3eK0MtolS1UUpaX6zcrJu40sHTZs0yV6jO5EA1HfaGrP\naE8+Mow5xeAUG2iH+s6nnsVnP/5E4ecL+KWoLI0dexhzu8ko8freQTmeTbpkSpXL8UzXWiqrDI9o\nx3S8QDnYypEIuj+Jk2jf76NED4CVOIlK84Dkb5b/m5gZSUrNL3L7Qmr5MMVVmjrNoSnJe//jHze6\nn23ju0/qm+JUSMfk+Zrw4krjRjO9AIkk0UV4f8e+pcMsS+3eJhrrrYJu79YpfGWiW/NMh3a6XskH\na4Hu4MuNJ7F9t+FHllrrLvHpEoDcQrVz683CAx+qVo43t75tPOTB5O9P1SjP0guL1XYSGobgG5uJ\nt8LhT+ODmYsr9NiySvSAgzI9AMpSPVlpnuvfsulCtoB7eV4nOZQJk48z+0VHi/sc+FAU0xRJhUvf\nkojDIEsstu/FskeLB1nyj++UCXAbMa4ipEzVYf/Iq9L/kyyxuMgSny5VCVMRMYFPk1SiBNiPDy+6\nBhNPFRer7WVk+1sfCZINadpUYokekE+cZGlTJ1Im4ECaZg2l6bEPPo3nf/19Vq/hk0MnTBfOP4TF\nG7e0B6qySBRoTedaNS9dMh340E58SBLgv28JODyyRO/FKnAYSvFcJgn5xFcv0+Qjw9bDKgLdA58s\nAQcL07KyRGstGcmSYIFaF+ZX8ouX+yjHKyIitpJElD0Rj6Xby/GWrq5i4vKY/o5tpMjPtN2CJOPC\n+GCpJXqEapqebG2mdkzMI7qlR/JQCBNfjqeTJtvGd5b5ta2OHpTpYEXJVZIAec8SIF+c1mTIQxFZ\n6hZR4mlnL5Pqfd3L6dLU6FBpAw7qW/mDSJ6yepkA8YmJQPfx6X/48fT/R/oeTf/PluIRg/2TaLyU\nLdchWWLJyNKuWQX+/Jr9QZLs/ao7AeCSLrkKEosPWRJVSvRiOd7E+CCWltt/Qk110rrQ81Ys1bOR\nJiC/n07TJslCt4RuBHmnUqZu4lAIkwjd2X2T0idRWd7U6BDmBW/IxrXNXMokeiPKptuZoDogY5+z\nSJrEItpJys58m07Ek7E0v9YTqRJPO1OmXhYiFlqfqaz1mFho52AiTYC/lAnwnzSFsrzOwkoSX4YH\nZEvxCNFEPEqXWFliJ+MB+oEPlx4y6y9QpUuy3laCZMkkXfIhSYTPZKnIhDybnprDRlqSJpEEV6ok\nSixFS/QAs7SJpInHNWVaEEgT4JYy0eN0fP//9jT+87/sTFlezwuTatjDhfMPYdGxNI/K8mS9TKzF\nT48O5dZPEb0RaSQ44dJkLjoYU40Z18EevOnOesv6loqOD+9VWWKp4sS8XkR0do0/mTEzUkNdcDJD\nxsWxmnBBaB6blClwuPhs/amcJB3vvwQA0nRJOhHvVvbk08yJM8LeJXbgg4q0OZs7mCFZEp44KyhL\nooO3IpJEmMqSz6l+qtKxqh7Ai+hEWZ6uJK3XaFeJnreUaaOZkyZKmWwGQLCPrTI9L0wm6ErzbKVJ\nVP4zPTqEOYuUCShWMsfCrs2kwyRFEj7ukMpSbtV1hx1KlXqZegVRyiT9u5SU6pkkwDNDNdQNZIke\nq/ubNkmX2FQplOP1Blv3T6aCxMJPxXMqxWuhSpdoQt78WlOZLtEBTVmyxIqSD0FiaWfPUq/RqbI8\nQCwJvdATBoiPF8qWJllpHqVMvDTR33G99XfN/v3opIn+3yv09Fhxk1HidKAtHfF47mDEowhVz42o\nxpk92BHtUHQjvF0xOVBjd3R0sUF28FZEllS0U5bYldZlq67T/ZxfI5RotAXd3yUg/9sUMTNU87pT\nMPm7mx4dKkWW3vnUs96fM6Dmt7/zwfT/13dWMpcH+qe0pXiEKl3iZalougSUJ0sXHhnuSlnqxf6l\nsrgwPmi1v2NHbRdhsUPSJ0N2vGAzelx4+9ggJscGlWPHgfy+kP4uRb2F9DctO6nOl+f62i8u3Gjm\nLj/wnqcLP68LPS1MphSVJiDfgyOSBNEBzsxIzbhnoSg6EXORJEDdt1RUljox4EEnRvyFKLISu833\n0cm1wrqJi2ODzn+XhOhv06WsziXdFd4nTMfrOVhBApBK0gP9UwCQmYonS5dEU/H4UjxelgjXdInH\nVZZM10uypb7RTC9AwQEPjn933Z6E8BQ5IViUotJUtZJ33UnWotIEwFmaps8MYvHaZu59bytNMkQS\nJLuwJ/BdT+b7oqeFiT3Y1WEqTSKKpEzpdW2SJl80rm2mF0BeiieiirLEypFOjFRMjA+GlKkL8J0y\nmWDyWNN0KdA7sIJEaRJ7AbKyROmSbSke/3/dYrU26VIRWQL8pUoiSaKL6jEm+F6DqdsockLQF5Pn\nBwsLaJVSJh/SZLLQr600AfK0qYg0kQTR/U0uVaJnhen9P/Ib1mVSJgfgZaVMVYcVJBobzl5YVH1L\nVZIlmST5wEWabL+nw5YyyVY+V1GFlCmkSwEZv/StjwCAUJDYC2FbikfMbW7mZIlFN0pclS65yJKv\nVIkVJFoM3kSSAt2NqzRVIWXK9T0XlCYAqTSJ9o9UJqqSpqmzQ6VLEy9KRXniQ1cKP4ctPStMhIs0\nuZTmyQRgalT8RuyWlIlPkXS9E1WXJVX/kS+K9jOZpEyqxLOXoJ1AUTkUja3PlSKMDlmlTEYiZDHA\npSrpUuhjah8kSSJBary0lrmcOTaePs4mXeKHPJAssaV4QHaUuGm65CpLgFuqxAsSYJYiqZ7PBVUF\nBdFr5XhA8QqKqtDplIk/5jCRJur7cinRM+mt8ylNMyM1aWmdCuqlN7n078ba78k3PTkl7/0/8huZ\nr2nCi81YTNfJebIx4yymY8argu1BmqxvCeiMLMnO6JSJ61Qh24l5vThulf/AZ98TLgtK0zRLFtuF\nbPmJeezkSdG4fhtRquKJkkD5vPebH8ukR3x/EoCMJAGQpku5NZdagx5kQx5ksiRCli4VlSUdov2h\nz9So6P62yBpMgc4xMXO2kqXvJsepRSfo6caNT50VryOqmqBX32gqx46bnAi0Wb6mk/SkMImwkSY6\naNVJE4/owAwQL2arGjNuQ5XKDnR9S+2WJVaUOlF/TWfjXEaNm6zLJHsfdiMqSfL2GoKTGbnRqoK/\nS9nJDJE0samTTb+TyRpnoXept3ARJEA86IEQrbkkG/KQ3s7IEpsuieDPKpvKkm35XdlT7ej5L56v\nSUUwEGg3fNJUZOx47nrDNZpcpAmQjx1X0S2iRPRcSR6fLrHYlEqZDIGQlQmJyn9kyMaMmzbDVeHD\nfXFxU1uK1y5ZKrMvyRXbEoZuXoDXBr7cbvLcYHrxjej9p0pCRYj+1tjyPDZV8r0sQLsJZXnl8vZv\nJGNxzxwbz1yARJLoAiSCxF6KlOKxssT3LfGT8eZXmsrepTJkyddUO91rAMisG8PTDQdvnaIXyvIm\nZs52vCxPhY++Jpd+Jhab8jxAXqInQrSMjXJbWhP7+Mv/9OZPaF/LJ4cmYSJckiYbrFMmQWmeKao4\ntB3oFqUFzOSxqCx1ouTOFJdyUKD13jNImbqNdiRJytcvmDIJSw9aSZOtJOnO0qf3C8MeehJWkFjG\njj2cuy8vSbbpkmzIAz9G3KR3SXVAxMpSlVIlPiFWyZILYQ2mgAk2oqk7dlAlTarSPJOkSba4LcCc\nCGn9rZuW6BGm+z0gK2ZVmFLZcwmTCbZJUztTJls6nTSZyJIqXdIdMJvKUlXSJBFV3KZO0I4kSYVt\nyiQbAKFKmkyx2WkAYZR4r8GmSHyCBCSCxF7GB8YyF0K05hKlS6Z9S7wsEbbpUpVkSTQc4uL5Wnqx\nwXUNpl6n21MmoDPDH2yOB4okTaqBIyZJk2rkOGA/DIJSJZtEiV6nCrIE9JgwqcrxeGwnmdk0CdpM\nzPNxIFSmNE0+MpxLwUzwIUumdIOQ9EIZgw+qMN3PdGKeiKJ/azY7DaC96RKV1tLlXe/+Ytte+zDx\n03/1aa0gAcgJUv3WRuZiUopnOuSBlSW2FI/Qve/ZgyaXErwiY8B5OapvNDNy5CJJPL4P2Ko4dMCG\nbtjn6uiW6o2i5Xmyk/qmk/OAYtJUtig9+XPPaO/ji54SJltMpUnVz1SFlAnofNLEopOlwOGjKmtG\nFU2ZALe/Nb5m24Yy0yVWkIDkZ0GXQPnIBEkkSUCSKNGF0A16sBnywJfimaRL/MGS6bhw11RJlx7Z\nyBGNO+4EF3pAOnrhJGCVe5kIU2ni0Y21nxwb1PYzFZUm/v8iqpoo8Ry6HiYe0x4T3eQ8nqK9TC50\nuqeJpR2yRIMdugHbEeOLN25p32eNle2uGilehXRJhbCXaW0LDcE0S5tlAFxFqYx0id/pBTHqDGxP\nEltix/clsWKU3mdL/L4QpUu2Qx6AfCme6gSBSJZ02IpS2f1HATdcl86oElUdMS7C5FhV2s+kWH5k\ncmwQDZPJeZKeJkA/QU+FaPmBqnKoEybCNmni8ZEyiRbNdKFKSVMgi8t48V7AZ/llWcjEgdIdWdKk\n+juzLb9LH8ctFl0EvswOsEuRQlmef/hECYAyRapvbWYuMyfOZC6iNZdchzzIZIlgv2ZlqYxUyUf/\nUS9Q9RSn6ttnQjekTMBBr7boZ65LLFVVHmUmTTIoVfKRKLWrLC8IUwubnibTWlGbXiaiU9I0OT5c\nqYVzl+o3e2a8drefhStCVUrxTJD9XaqkCZA3twLuqdL06JCzLKkEKSRKnUcnSkBWkgBkBEl0OF7U\nPAAAIABJREFUO8HKkuuQh/Rr5r1L4k/wsqTDtleJF6XDTlUrKaq6XTa0q5fJd0WMTJpsB0BknrMN\n0uRTlNqNF2GKoug1URT9QxRF9SiKflFw+1NRFP1dFEX/LYqi/yeKogvMbftRFP3X1uUrrttgM/BB\nhok0qVImGTYpE9AZaZLdT7YtqkVqdXTTQbQvDmu6BFS/FI9HJU08/N+ZzdoSLEVSJT5FKipIS42N\nzKVXqMJ+6vVf+zwAuSgBMJakS6dG0gu/5pKqbwlQD3kwXcjVJFWyXVeJT5V8U99qphd6jSqdKOxG\nemWgUbekTID+WNV2AARgvkaTiTRNnxnM9CUB3S1KRGFhiqKoD8AnAfw4gFcCeFMURa/k7vZfADwW\nx/F/D+DfAfht5radOI6/u3V5vOj2FEUVebKUlTL5liZd2RB/fxGyA7giZ6u77SDalcOcLnUj9J6W\n/W2aDIEoIko2suRzWAMvSBfHBtPLe97+OafnrBJV2U/pRIktueOvB7KSBABzm5vaUjyXIQ+qUjxA\nnirxAxkoUZLJkmq6nQ9YQSJJmjpn99wXHhlOJ//JUPV/BKoPpUyLy9tdI06ytEo3AKId0gRk06Z2\n9Cm1oyzPx9CH7wNQj+N4HgCiKPoSgNcB+Du6QxzH/565/zcAvNXD65YKSZNwwTDJgraT5wbRWBH/\nsYkWzJShajZ3YWakhnoFBkFUmaXv3Ej/P/GK816fu8x0SbQwnQ8WVrcLD+7oht4lEVOjQ5hfkyza\nJ1jUFrAvvQNQKFGi7XSFT44OwUTLSuynVEMcWElirweyU+/YNClzvaQUj9ANeVBR35BPk+MTGt1+\nxnaIA4mObjvpfjy2guRKY3U7N6q5cWPbuByqm1EdL3ULJE1L9ZupNPmaZFhmAif6uV8YHxQufE8L\n2qowWdgW0A+CALpjkIMNPkryHgZwjfl6uXWdjJ8F8H8zXw9EUfR8FEXfiKLo9R62xxu6pMl0uorq\nYEQaa3pMmgB9g/phZek7NzKy5PW5Hc9UmUzIA8pL6UTTHauEj5JOXamZKmkCiv1dFi2/Y7fPBlWK\ndAio3H7KJlEC8mmSiSypSvFEIiGSF5MTbTZJEr2OKkniUyH2OtF92PSIv8jIPFcJZXndNMHUF71Q\nmjcxc9Zr4kQ/kzL6vXTPKetn0u1DbZOmw4KPhCkSXBcL7xhFbwXwGIAfZq6eiOP4RhRFUwD+Moqi\nb8VxPCd47JMAngSAiYmJ4lttgdDgJSkTYH7Wn85kyygraQKyO0GfIrXU2OiKkeKsJI1PDGJ5KflQ\n7KZ0yTckShOTI5XtXaEUt0iyRiP/damv7O+zyN9lu0XpECZJMiqzn/KVKAF5UWLhZamduKZIhEx0\n5lfcS+v456eE7eL5mnC9qSrQTQLSC2PGWXwkTmXKEiFL9y6MD0plTzdqHLBMmhQpkwoqdfWVRD35\nc8/gM5/4GS/PJcJHwrQM4BHm63EAuVP2URT9CIBfBvB4HMd7dH0cxzda/84D+DqA7xG9SBzHn4nj\n+LE4jh87cya7o/Ex8EEE/fGrDnp5g/cx/IGljKQJEDepHwbYRGl8YrA0Weq2HQcrSz4osxzPx/Oa\nioOvXkNKlYr2KZniI0laml9LL+9746esHltBOr6feu2X/7XXRInWWRLJEgDM3spLwKygbE1UyiZK\nXExSmCIpkkkqZHKfXqPbJtGZSp5solvV4BMnU9ohS6LXy12v+Bn7TJqKDAKbW98WXqqGD2H6awCX\noii6GEXRMQBvBJCZIhRF0fcA+DSSndAac/1QFEXHW/8fAfCDYGrKO8XS8jaWlrcxcXlMu5it9Dk8\njBgnypamqslSGSPFRaLE4jtZAronXfItS+2indMWXaXJV/mdrSwBsJYkVpBIeOnSA1RiP1W2KM2v\nNXO9S8TU2fz9fZblsY/3JUmzW830UgayvqeAG90mdzbYjB9vtyzpBkCoRo37kibAfnqyaGIeO32z\naiJVuCQvjuP7URS9F8BfAOgD8IU4jr8dRdGvAXg+juOvAPgdAKcA/NsoigBgqTVp6FEAn46i6GUk\n8vbROI47KkwmqZIOX8MfWEopz1M08pZFOw9y+bI7EctL295lqZvSpTJkqR2/Y2+leQZ/j9ohEJKy\n2k71KQHmCRr/u+oROcpRpf2U79I7QN6zVAVMy+0IXo6mztYwf/NAmvj1o1xhy/KA7GCLTuwbZSwt\nb/e0iPQa7ZYl/rWtS/Nu6PejJuV5JkMgZJA0za1vpxP1ZJM4F69tCqWJnqPMsjwfPUyI4/irAL7K\nXfcrzP9/RPK4/wTg1T62wQeusrQkmEYignonRJi8ycqQpk7QjoMyNk2SQaV4Xl+3oHDL+uJ8U3aq\n1I7fserEhG9sJucVFSV6PVtcZcn0d/W+N34KT3/pn1tvV1Xo9H6qiCgB/mRpdquZk476VjM3hU4k\nDbYiUd9qOgkSD11H4uQiTezr8I9n+5gmx4fbMiBpcXlb2xMzcXmsq/qYDjudlCXqIZNNK5Qdp5Yh\nTa6YiJNMpOY8VWCp8LJwbSfx0b9EJXiA/YGuTVmeDJuDI+qB8FWe18uYyFIVS/HatfJ4t5XgySia\naJn2FppMzmt3+R1RtiwF/GBaegdkUyVV+d2lh2rGstSusjwdfKnd1NlaelFBt5uU6bGvwb5OO5mY\nGhWOcbb9jO+mqoVeZmLmrDSt6aQsEbZrMxG25Xk6ivQzAdlSPX4BXBlUyqdbTLsIXhKmbsZHCZ6I\nMsryWGTrwQT0lCVL1Pd2mGlnySVQPGVSpb4iZEmTrSARRVMloFxZ6oam7G7g8S89lxElgpckQJ8q\nsT1KpqLEr8HUCUySpMz9uaEV9L2K0iaRPMmef+psDbPMAr6idK1KhJQp4APZ2kyEadIEoLTSPB6b\nUr120PUJUxHKkiUVLmsyySg7aaKpXjxFzx4UpehIcaAcWeoULpJycWywtNHh7U4tJs/p15XwSZEF\nY1mKpkpAe2TpwvmH0sv7H/+403YG9IkSYJYqAZCmSvM3m7lL392kBI29iPA5LU+GKkmavdXMXKZG\na+mFbhc9lyilMk2S2HTt4vla5nsrY22mIoSUqdpU4WSpyXtEdRLMJGkyGQJB6zP5Ola0TZze8QvP\neXldnkObMPmSJVXPyeQ5/ax7QrcmkwxKmgC0NW3yddDYbsoc8tCJD8x29vFUHdcBEKbDH1imRt3X\nnigy1IGwFSXAbtQ7K0uB4rCiJLy94FAHNkFy6e/hByAA4vWJfPf35CRoVJIKkTQJfg5llNm1q4/J\nlJAyHSAqcSTogL9sTPrPOoVysrNiAARhkjRRP5OKov1MIjqdOB06YSrj4Na2HtnlAE2F72EQgL8R\n5raUWQJUxpAHogpnlw4znRJHm7IDH+V3QJClbkQnSoB7+R3Jkq/pcb5QDXxgRUkmSSKmRmuYX2um\njy8yFdB1eEQnOcwT81hREh3IL82vKWVKhq1kTcycrWSpsk0CqRtURtKkfZ4SF7VV0Slx6uqSPNuB\nD51MAkwwWZNJhs+1mlwb132VeJV1oKYaAuGKz76ldk3I61WKlubZvn91QyBYfJXfLTU2nNZXCrJU\nPXyV36nK7P5/9t41RpL1vO/719nZ3dnlXma6Z2d358zpuWzv4iSSAAc5kAEHUAxJAfJJ8gdLVnwY\n0hElQohCBrAciIoMMxTEkAoUBSJFKCYi2jrmsSjGQiwCMSBAUoR8YOyYdgRQFA5mem595szOrXt6\nL9qdvZ3Oh+qn+q233/et91pd1VN/oLEzfauantl661f/5/k/pjIty2sdd63DINhyO15rD7sjN9Hr\nRMN5tbbNuFKrt2upn7topXikop635KnG6rzU9aDHTG5ADGI2oCXTOEsndf5GVLOZeLmW5pFCtXHw\npXqhVWpgMlERYcl3D4kPaLKFJZLJiVzZFeLAmFdC3iTLtqfLRlnws7PTGWsJXgVL49ff+t13R+5T\nleCxw2dVoATIXaXN+13jm0ih0/JIPBzduVFL3eg5rFhosgUnXuzPu7xYT8HTOAdmsqp6mfzJNziN\n6/zS9G9CB5pM+plU8t3PJBI//DaUSl2SZ/pHUiRYcp3JJJNLeZ4rLJVBi40ZtN/bc+5jKiKAVypW\nad64QAkwjw2vYCk/ZcESYF9+R+BT5NQ3mQiMZI9tHA2dJvrsCJqoTE/2uckS93S19EZd6wr29n5P\nO3rZRlUvUxgRNLFlfapSvUbzJnZaB4XqYzIeiTPoZ1KV5+mU5i3fmsG2Tmmep+Q8kfK6mFFqYJrE\nk1Xb8AdWNtB0FmDJl0LAkm05XhX4IJZNAIRtbyEfNe4DlIAKliZRG0ddZbCDbagD6xCFgCXZENvQ\nWn98nPR/EVAROLGfIx8KIRILV4D/ePHGypxWeRIQ/59zOdkuai+TyUXsrPCBccgUnIogl7YA7RAI\nx6hxIDw0VT1MZ0Chop1NyvPygiWT8qCQIpfJRSFgyaQcb/t+L4ElUzDY2u8ZzR4qm8bxN8b2M7n0\nKQH2vUpABUtFlgyW2AG0IrGukgqWmrO1ILCUV1keaf3xcXKj71lRmR7f2wQM+5tEN5XKFC9e1AvF\nJhcS6SRdZ82jUjmbBFRb8aV6Rq+9dyu3skkf21lanMmtn4ktzws9niZEtHhpHaZJmAcSqiyPZOI0\nVc6SnnwfCE1hiXWUbEApea2nhMYiy8VlAsw/I1+OEu2H8etzgqVP/9hv4Evf+vtmO3eGZVuCp1t+\nB4hdJT4SvEy6U0+vV+ud+P8GmzYoK9PzKTZefOmNOjbe7yT9EpsHJ8kJIKDX/D6JsgElQB+WAPO1\nzpcaq/NKUChCvLgvgPZSmrff03KaACRuEwCnc92No15u0eKlBaYiKFSqGV/i46IsaJINp5VpEobW\nAna9TL5L8UxgyQco6QJAKNczT7n0MtGFjLYlONnItvwueX3lLBVSP/DrXwYQDpZkjhLBEl9GNy6t\nC9L3SBTyoNKdeh0bnU7iNumU6cm0Ol/DOuPo2cSLs6W3rEL2LxVRIV0lYHygpKNxx4v7TOj1VZqn\nM5+J5Buc8lBVkueoUKlmJpHFtjJN0/PVm5GXfM5dGhcs8aV3JgsIld41lueMT/onIe2QYsZtU/Po\nM6ASuRBi39vWVapgqbjSiQwfeUwBS5RoJyu/29rrYmsv7jcKDUt8WV5W6ZrrgNk79XriPInK9AAI\ny/R09ylEvLjLmIMiq73b014Td3Z7pYclm/S8kGV5Id7bR2keEEOTidu6enPWulQv7+TKCpgCyrUh\n3wc0bQwCJETuks2Q2zxgyYdzp+McmfYyjQOWgHxByUVFPDkgiCgiOLGg5FqCV8FSeeQCS4C8/G4c\nrhIPTaJ+JxexvUwkFprYx1QR5KZSxYubquihAaZiQUkHloB4rctc75hY7yLBUta+iJyZkH1moRN6\nXaPGk/cxLFG1BSdZOV6I3sMKmALL9T++C6CoYIm0/EY9eZ5K1MweWkWcQ+Tzao4NLOnKByi5AkER\nQj14sUDhC5xc5BLqANi5SkAFS0VQKFgCENxV2t7tpG55qTlbH4WjDLdJFgrBymZ209Ib9bHPY/JV\nlm617RxK8IoES6xELlPWz+bbCQoNSzr9WDoXAEyG2vJycZxILgO1VSplD9P7rQPAbYxOIUQntypt\nHp5Y1XXqwBL/fFkvU16wNA7p9DI1Fme8HPhCwZJpj1KWJqEcTySCi+37vQQ4bEIhAKSCIWwAKq9e\npeR1FSyNXaFhiZdvqGG3kVekeHM2Xr+as3W0TgQ9TARNGqEQpHvX4tS8TSaC3KaPCRgNfphkmZTg\nAWagBBTLVeJlE/7ge2ZWHrMfTaLes0KVdEMgZGJ7nEQax4WLUgLTsxevjMu2ynaiQLOY8oCl5Tfq\n2H6/o4SmzcMTJTTRFfMsbd/vFdKF0FF7bd/6YBUClnyDkouKEhmvI1/gRMEQeQFmBUvl0sZRF0uD\nr8cFSyEcJ99Xb+9dq2HtKDv4geCJwCkFRxmhECRKLGS1erOW/A5Wb9fQuq83j0kW/DBpKlqwg06o\nQKjwje293ojDkhX+4HNmVihYMk0vpNQ8XWiylQyWSKJyvJAXc0oJTBcunjcu3dq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A22DyDZpztz9SHQPYrhiX6WtQdDQGz1ukNwPOkOB9x2uDJGyedMB3O2xI3CFraY5kJabETAw4KS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\nhBBCCCHEwv8H9CV692nRg1sAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x19464c080>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"idx = 25\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 7))\n",
"plt.sca(ax1)\n",
"q.vector()[:] = k[idx]\n",
"fenics.plot(q, alpha=0.8)\n",
"plt.sca(ax2)\n",
"fenics.plot(1/conductivity, alpha=0.8)"
]
},
{
"cell_type": "code",
"execution_count": 351,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"pressure_vals = []\n",
"for idx in range(500):\n",
" q.vector()[:] = np.exp(trace['k'][idx])\n",
" forward_solver.solve(q, pressure)\n",
" pressure_vals.append(pressure.vector().array())"
]
},
{
"cell_type": "code",
"execution_count": 352,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"pressure_vals = np.array(pressure_vals)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Choose position for new measurements. If we trust our model,\n",
"then we should choose something were the model says it doesn't\n",
"know the pressure well.\n",
"\n",
"Low areas: model checking? The model seems to be sure that\n",
"it knows the pressure at that point, so it better be right..."
]
},
{
"cell_type": "code",
"execution_count": 353,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x194b845c0>"
]
},
"execution_count": 353,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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EnQDuBEazHkQfdQ+JETrfqXhCx+ZCRQ6wu7lQOMbvUohsCC6im1tyShuYXJ0KTsEDwDaO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\ni9DlKGwFN7ouP/CtxXVxdaqbGg5Xlxsz6eyAuLsOn7E7Hab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sqmdEZByYE5Fj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\nPN7ZOY7jOI3nf6z6aDpLb5NTAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1949a3eb8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(7, 7))\n",
"q.vector()[:] = pressure_vals.std(0)\n",
"fenics.plot(q)\n",
"plt.scatter(*measure_coords.T, zorder=100, color='r')"
]
},
{
"cell_type": "code",
"execution_count": 354,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x194d4ee10>"
]
},
"execution_count": 354,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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2ltjS+DIYxpy3xJY0n4PPY85bYkuaz2CQt8SW1GJXkiSpxWCQJLV0DoYk65McSnKyeV/X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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x193c1b4e0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"q.vector()[:] = np.exp(0.5*trace['k'][idx])\n",
"forward_solver.solve(q, pressure)\n",
"plt.scatter(eval_pressure(pressure, measure_coords), measurements)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The pressure we would see if the single sample from the posterior was true, vs the actual measurements."
]
},
{
"cell_type": "code",
"execution_count": 144,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-0.3205377 , -0.20814727, -0.13433206, -0.11648832, -0.06971239,\n",
" -0.10402625, -0.09989496, -0.09579237, -0.04185954, -0.13652952,\n",
" -0.09133275, -0.25359052, -0.22972465, -0.06200599, -0.30809375,\n",
" -0.03218705, -0.20051833, -0.18386021, -0.19011226, -0.22552725,\n",
" -0.04643117, -0.15427929])"
]
},
"execution_count": 144,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"eval_pressure(pressure, measure_coords)"
]
},
{
"cell_type": "code",
"execution_count": 145,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-0.31871814, -0.20611503, -0.13385013, -0.11945 , -0.06721805,\n",
" -0.10896628, -0.1025536 , -0.0905468 , -0.04106244, -0.1362346 ,\n",
" -0.0895475 , -0.25427761, -0.23282 , -0.05821675, -0.30441301,\n",
" -0.03656575, -0.19465643, -0.18110934, -0.19383952, -0.23292966,\n",
" -0.04894352, -0.15788545])"
]
},
"execution_count": 145,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"measurements"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## What part of this is new?\n",
"\n",
"People have been using bayesian methods in the context of PDEs\n",
"for a while now (just look for papers using Hamiltonian Markoff-Chain\n",
"Monte-Carlo). But by combining the autodiff capabilities of\n",
"dolfin-adjoint with PyMC3 we can formulate these models in just\n",
"a few lines, without having to worry too much about all those\n",
"derivatives. And PyMC3 gives us a good sampler with non-trivial\n",
"niceties like automatic step size adaptation, mass matrix adaptation\n",
"and automatic choice of the trajectory length using NUTS. It\n",
"also allows us to formulate our prior and other parts of the\n",
"likelihood that don't involve a PDE in a nice and powerful\n",
"form, with many existing distributions and parametrizations.\n",
"\n",
"Why hard? Gradients!\n",
"\n",
"Writing the code for this example took something like 10h, and\n",
"I spent much of this re-learing fenics and dolfin-adjoint, which\n",
"I hadn't used in a while. Writing all this by hand would have\n",
"been a major undertaking.\n",
"\n",
"## How useful is it?\n",
"\n",
"I guess this comes down to four separate things: How easy is it\n",
"to use it? What can we do with it? How reliable is the software?\n",
"And how fast is it?\n",
"\n",
"- Not easy, but *much* easier than doing all by yourself. Requires\n",
" some knolegde of fenics, dolfin-adjoint *and* PyMC3. Also, for\n",
" each there can be numerical trouble, that might need to be adressed.\n",
" (Choice of discretisation for time and space; convergence of\n",
" linear and nonlinear solvers for PDEs; convergence problems in\n",
" NUTS, with possible reparametrizations to fix)\n",
"- A lot...\n",
"- fenics good? adjoint some trouble / but rewrite? PyMC3\n",
" has some troubling sides, but quickly improving (disclaimer:\n",
" I'm a developer)\n",
"- That is a problem. For NUTS we typically need at least 5000\n",
" gradient evaluations, and that really is a lower bound.\n",
" MPI? Number of parameters (one computer)? Shape of posterior?\n",
" Variational methods (the bayesian ones for the posterior)?"
]
}
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