{
"cells": [
{
"cell_type": "markdown",
"source": [
"# Sampling from a GP\n",
"\n",
"## Preliminary steps"
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"### Loading necessary packages"
],
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": [
"using Plots\n",
"using AugmentedGaussianProcesses\n",
"using Distributions\n",
"using LinearAlgebra"
],
"metadata": {},
"execution_count": 1
},
{
"cell_type": "markdown",
"source": [
"### Generating some random data"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "50-element Vector{Int64}:\n 1\n 1\n 1\n -1\n 1\n 1\n 1\n 1\n -1\n -1\n ⋮\n -1\n 1\n -1\n 1\n -1\n -1\n -1\n 1\n -1"
},
"metadata": {},
"execution_count": 2
}
],
"cell_type": "code",
"source": [
"kernel = SqExponentialKernel()\n",
"x = range(0, 10; length=50)\n",
"K = kernelmatrix(kernel, x)\n",
"f = rand(MvNormal(K + 1e-8I)) # Sample a random GP\n",
"y = rand.(Bernoulli.(AGP.logistic.(f)))\n",
"y_sign = Int.(sign.(y .- 0.5))"
],
"metadata": {},
"execution_count": 2
},
{
"cell_type": "markdown",
"source": [
"### We create a function to visualize the data"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=1}",
"image/png": 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",
"text/html": [
"\n",
"\n"
],
"image/svg+xml": [
"\n",
"\n"
]
},
"metadata": {},
"execution_count": 3
}
],
"cell_type": "code",
"source": [
"function plot_data(x, y; size=(300, 500))\n",
" return Plots.scatter(x, y; alpha=0.2, markerstrokewidth=0.0, lab=\"\", size=size)\n",
"end\n",
"plot_data(x, y; size=(500, 500))"
],
"metadata": {},
"execution_count": 3
},
{
"cell_type": "markdown",
"source": [
"### Run the variational gaussian process approximation"
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ Info: Running full model\n",
" 0.856210 seconds (1.86 M allocations: 98.368 MiB, 99.51% compilation time)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": "(Variational Gaussian Process with a BernoulliLikelihood{GPLikelihoods.LogisticLink}(GPLikelihoods.LogisticLink(LogExpFunctions.logistic)) infered by Analytic Variational Inference , (local_vars = (c = [1.1331854148216856, 1.1437806037107898, 1.1316655371284234, 1.088312427763419, 1.0092925683375737, 0.8967626096623932, 0.7651843986740677, 0.6487008913226384, 0.6034962984513987, 0.6670742548830478 … 0.959739607288851, 0.8887061135730621, 0.8372636935828858, 0.8052988809848065, 0.7896737478699134, 0.7871233508453355, 0.7942313077419655, 0.8084246309349351, 0.8276383960769996, 0.8505289413878866], θ = [0.22628801393001607, 0.22589392160165955, 0.22634438239945381, 0.22793436998513908, 0.23073753657668591, 0.23449211818277468, 0.23847619391730449, 0.2415869222839704, 0.24267886418885332, 0.2411241709777877 … 0.23242728073577618, 0.23474924330067096, 0.23635159028890104, 0.2373116679309849, 0.23777069218528696, 0.23784496359904383, 0.23763751151625423, 0.23721902303052475, 0.23664362430702657, 0.23594504368205257]), opt_state = (NamedTuple(),), hyperopt_state = (NamedTuple(),), kernel_matrices = ((K = LinearAlgebra.Cholesky{Float64, Matrix{Float64}}([1.0000499987500624 0.9793417135471325 … 1.4538695041232462e-21 1.9286534177037293e-22; 0.9793906794086937 0.20245939866196944 … 4.489420225833076e-20 6.248468235352852e-21; … ; 1.453942195781206e-21 1.0513088244072457e-20 … 0.034540938136573676 0.07728907039399337; 1.9287498479639178e-22 1.453942195781206e-21 … 0.9793906794087034 0.03454092804975722], 'U', 0),),)))"
},
"metadata": {},
"execution_count": 4
}
],
"cell_type": "code",
"source": [
"@info \"Running full model\"\n",
"mfull = VGP(x, y_sign, kernel, LogisticLikelihood(), AnalyticVI(); optimiser=false)\n",
"@time train!(mfull, 5)"
],
"metadata": {},
"execution_count": 4
},
{
"cell_type": "markdown",
"source": [
"### We can also create a sampling based model"
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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" 5.044885 seconds (8.67 M allocations: 626.447 MiB, 4.12% gc time, 92.73% compilation time)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": "1000-element Vector{Vector{Vector{Float64}}}:\n [[0.04547374197772869, 0.1161885694729542, 0.19018372815258167, 0.2545449409960766, 0.28877106257443147, 0.3113531511156117, 0.29551082378552734, 0.21681537857384997, 0.11187945991899154, -0.024743473638780822 … -2.2792028393438395, -2.277972809285071, -2.1565686523149528, -1.911916171655351, -1.5698357254256088, -1.1467768629784425, -0.6941615192561681, -0.2907469652342171, 0.02500952785880728, 0.20556592526369055]]\n [[1.0367022653714166, 1.0160389778008683, 0.8057049037247201, 0.46616312728199305, 0.06541024178428068, -0.3551305553645554, -0.7605491759004861, -1.0892376565371613, -1.2733425840780668, -1.3014654725523722 … -1.8541365213035603, -1.735435105031745, -1.612189148339647, -1.546125452257857, -1.508903498034171, -1.5420808552510403, -1.5779459566602587, -1.6185862922981311, -1.6488732659311838, -1.5751650253528937]]\n [[1.1314373924631722, 1.1835199950060893, 1.1437990248667842, 0.9680084006678434, 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-1.6406022934770519, -1.51220069984186, -1.2212715713575015, -0.8230496165153056, -0.32669371137567593, 0.16897117309459436, 0.5929818083659784, 0.8713694768949378]]\n [[1.0162607123778957, 1.116362584009618, 1.2222845897132162, 1.304566721483302, 1.338565110890565, 1.3447221538934313, 1.3449997516665528, 1.3012502745969279, 1.1986467964703813, 1.0156991441907377 … -0.6471745719941464, -0.6223023317814077, -0.6009980395228386, -0.5327078517154261, -0.4861921604812184, -0.4658259397157232, -0.5063049666002795, -0.5584068824720364, -0.6792502294568923, -0.7741543627530962]]\n [[0.9360758264251915, 0.893355246756959, 0.7728111486900383, 0.6010226928202251, 0.39761952228985, 0.23292718043684102, 0.059944734296318636, -0.10150995637361104, -0.28675471962817045, -0.4926748206656982 … 0.28924224810440435, 0.15554531357916257, -0.0021690896157503525, -0.18139308571684448, -0.3237720447920881, -0.417184873408791, -0.5091704599886203, -0.5818933269325736, -0.6093965664488395, -0.6576960332861428]]\n [[2.2331684325219463, 2.3353624391488177, 2.4171821429544718, 2.4196069833082863, 2.2889731636068156, 2.037389999913546, 1.7006734536519976, 1.2699491735763775, 0.8180373376280041, 0.36202133521122243 … -0.44988218578422173, -0.3062549678166861, -0.17385779056967737, -0.08665113036350414, -0.037258021809277286, -0.03109123983603912, -0.0620196133446384, -0.17351936077933472, -0.33681579124745664, -0.5735371005127112]]\n [[1.3843604197898298, 1.564385040751811, 1.6699647191478026, 1.7501503966488383, 1.7349396552827436, 1.6332525817513353, 1.4259939451375638, 1.100999269951374, 0.669076558788623, 0.15577074373925465 … -1.1086471706732512, -0.7157834885804906, -0.29975947269322356, 0.09957574955864301, 0.43623215980423935, 0.7297262937778997, 0.944178237702306, 1.069929000954265, 1.1239476807749929, 1.0657815163008415]]\n [[1.5165531146796387, 1.719573491117912, 1.7499671296322283, 1.605797716065115, 1.3330719203010672, 0.9246461640544655, 0.4138292407747946, -0.13344581463615687, -0.7293834806291745, -1.2627242865564163 … -0.013702255221439863, 0.051835721521515665, 0.07647029446100329, 0.06167811044552529, -0.033292923646481454, -0.11252553059040771, -0.17311706958569795, -0.1876159323333461, -0.1525782615329469, -0.04637067408707507]]\n [[0.9820942252544012, 0.8995845357600707, 0.7161593636359613, 0.5227946430775622, 0.28200901135239387, 0.0762681615001699, -0.07729187391748593, -0.18914421337690274, -0.2422158686494914, -0.26080522507045545 … -1.1875398953417917, -0.8405406995070406, -0.5086282273469127, -0.19712337907160715, 0.014436648996008772, 0.16149678466133044, 0.22422126090010175, 0.18024997258687908, 0.11085046474083138, 0.03334415732487078]]\n [[1.1684737174066875, 1.293390942035748, 1.295526839564421, 1.2032460990212626, 1.0155439580568784, 0.7172467475909323, 0.37465344179298593, 0.047918394650730944, -0.2591622568532532, -0.4612275882914283 … -1.6909503171353168, -1.3673905627226581, -1.0779214884766506, -0.8714846546155611, -0.73908211527224, -0.7581187101355981, -0.9051833208119833, -1.1312320722400617, -1.3264705167277406, -1.5101747580599207]]"
},
"metadata": {},
"execution_count": 5
}
],
"cell_type": "code",
"source": [
"@info \"Sampling from model\"\n",
"mmcmc = MCGP(x, y, kernel, LogisticLikelihood(), GibbsSampling(); optimiser=false)\n",
"m = mmcmc\n",
"@time samples = sample(mmcmc, 1000)"
],
"metadata": {},
"execution_count": 5
},
{
"cell_type": "markdown",
"source": [
"### We can now visualize the results of both models"
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"### We first plot the latent function f (truth, the VI estimate, the samples)"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=1002}",
"image/png": 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jKOxoeaJbG+QkE4ge+60VuUr7wxny3SMcRosWLdoGbauBUGOSSP5REUjJ/Gg0AiSWy2U4pALskdVqNVKJYKeKETk+0AWGhRWEIRAKijg4XCvhoOJCC2b5Xpcg5ZUrKOiOWvgLhB1QlTS9azobRYsWLdodt60GQgzqEnhQPLS7uzscDim3R+Sp7KAyamBVvV6fzWbmW2OLCA1lNbxScy1UMhjOu7Bgcq9eACatzPI9hSANc5Pmq/hPj/B4QSjA4XFMHEaLFi3aRmx7gVC8IpxkvV6v1WouGEAvFOHfWq3WbDYJDZXek9YU0BqNRu12m+AS5FNPNV4GCpbBYN6wgpAXKAw1X+CxXkS40r9NPGeoAj07kimRGYaSMXEYLVq0aBux7QVCCvVUEag4DM1LURSUGBIRoqMRwwmf6Xz37SRJ5vO5maVpulgsyAuap145ssrz4T9ViSHkE+kaspe0IaX9TSi3ERLzGsWRvOvmUn18HX078/h9F0i2okWLFu0O2vbuodQIOufm83mn06HLWr1elzSGxwhhABU6ixLtqSup4I0GpGbWaDSAE5VShP1rwkyhAkGFd2EkKpzjc8PgkiHA4bv0vW5R8KI2cisfd9O/c7Ro0bbHms3mzs7O13zN19zpE9k6+7M/+7OHH374nA6+vUAoHUpRFKPRiNGD5NioVTCzZrNZliXF9QSFwr8wHJzNZmEF4WKxUCduBC+qhQBggFJm2QsySz/7SdEYUOd8RxuduZKF+pPz46I2pXNRLGvXk6dGixbtWWSXLl36nd/5naeffvpOn8jWWa1We+UrX3lOB99eIDRflifBp3Qx8KVEXbPZLBw3YWYaw8QLVD4hjQzAaR6WqIWo1WrL5RLWlI+TWFStbcS4roholAjkr+aThWFFI5+1wdBNwa7FBqfRot1F9uCDDz744IN3+iwulm1vGOGcazQaBIL1er2qqkajoc5qBHyNRoMMGapR4IrZhPCZSt3VajU6wtCeLaw1NE9vElSlaaq6Q71AbWvChqWAtI5gQam+mdET1QV9ajZOYIYUa2zGFi1atGg3Z1sdETabTYhKQqvJZMIDpdmoFAR+CBN5TEsa59x4PJZikxCK2FF5NZhVAFUF++aLKBaLhfrRINqUKBQtD3/SW1RfAQDrvyqo2HjQFk6AUlF/tGjRokU7u231vklsRwQG/2l+x5/P53met1otkI/qApUx5HmOpkYcKUOaNGWiqqper1dVFR+xXC7b7TYBnzKRPFgsFmQfw+J68xpOFV1YMCi49BOjgF4+2rx8dLM/EacRpyFGixYt2k3b9gIhaFer1YqiCGvhiYF4ZjweU0RBmKiyeqoaJNoMk3Pq2cbB1Sx0Npt1Oh1xoSqZMDOCTgs6rmHOz7jH8jwXWhMIKr8oVct1y+dvwlychvhss1CobEFT3BWLLYSiRbs9tr1AyBZAno/8HNEPuwMhV1EU0+lUAVlVVa1Wi3YzlF5UVVWv10MUlJ4zTCUCruPxOBxDSEtS4LDdblsAhJLMhEBYluVsNgO5BXh6fH5BoR1t9g1BGrFway3MPZ9usYVQtGi3x7YXCM0syzKkMYmfxGQ+AEqSZDqdmlepUBExn8/BLSAKvSjAI/q03+/P5/PxeEwM12q1siybzWbEnWVZ8hbglvBuOByWZUlLGsVeMuCZ8zQzMNs8hat6jHMNCs1Xm1RrMzSibY9Vx7WZva6p4UN4HLVP2vQ5Rot2EW17t0tUndztkqWwHaDwFL+UJAncJvlCMaXNZpMWaKr8k+BFgJHneafTqdVq0+lUs3CVFGQAYZZl0+nU+bH1OpOwplCnTZmjSgwrP60iCZp6nxPfFQpnYpX9ttlKsanaNViQXQ5NqMkSYgC1qnp0kHiVo0W7ddteIDRf/M5s3vl8PhqNUM2Q5wMLeQyTmef5ZDLp9XrsDmmatlotmE9VU6CXod2oBdN3O52OurjxiRyct3Ay7XZbaUUFdhxWrb2ToBm3usSFIdr5BYUuGFAVq+y3ylbo0OuynWqkJ/jkgYgNOVWl7zcbo8No0W7athcIEcuwFwA2lAnmeY5AhtANXIEUNTMqBTudDsAzGo00vClNUwhMKVGJ2IqiaDabOr4FghoOzn+Xy+VkMiHKVLRqPhykzFGbF4k6lVKs71/n5MjHKvstsTBvHdKh7gwN9sLYUYtNf9W9wH8hLUJk5eBc+ugJRYt2FtteIEQXQ56PvqOEXCBcq9USa5QEnbjlHTs/O1CdP0Em+KVQzEILN2oWYUe19TQajfl8TsgIAUvPbl4Du6VPpDeNhkIoLmTnCjvDnV9QaEeFMzFZePstRL6VuhrRoWpRtO6prDCo5vnPRqPBwrPjqFTJqi3wzOxoz4do0aKdZFu9SxLw4VZ3u13VwoOLpO6koOn3+4vFgr/CfyJRWSwWQj7pPHkXNYVmVlUVsaP5oArtyWAwIC+Y5zkznjQHGFUqxyFCtWCSMOgrRLydmUI7miyMlYW3zcRn8l+WgfngTH1rj32vEJE43tZix8RPHFsJFuX0lL53bgiTUXcaLdpZbKuBkBag5nMqVOmRdcvzHAELO36325V/DdjgPhMsrqACSIkihiOocZqIU9zwJEkmkwkB5WKxuHTpEiPv1aeb9qRlMCJRIEpk5vxswtsZFK4kC+MmeN62AoFoW1bo0ND1qfxElFB7xQpRBlpLxbyqS5R+KBldwVctufDJMF6MFi3aum0vELI1SMwCGiF+GY1G/Gk2m3HDU+pHfaGZgXxZlnH/KyzjGcrsFosFu8ZsNms2m8AeQhuQUuXwBItpml67do0iipB3UhkisF36XjbrQaHaxd2GoDAseYxYeH62AoEW9BUyX9ujx7riWj9hyalQ0LyGi9evHF8sfch+O9/kVlnJ9Ogk5xgaRot2im0vEOIv026blmkAITe5RKTsFNPpVGEc8k7JTc2MdtuqtdDGRDUhhKeZzWazJEk6nY5zjpQMPUvNDOg1s+FwCGrSDRwmlm6l4e4TUljCSzNbLpdoauycg0Lzm6nFoPB87KS6+FDJAp0ehmuFH0uyckWqoDmD6E1V76yTpevst/gMCxrPqtFSeM7XVetEi3bRbHuBUFsGPm9ZlsR/VOmxX+zs7AyHQ7aA6XQqwAOcwE7iRdqkMYMC5ENoKm6TD51MJovFot1uI8bp9Xrz+Ryl6Hg8plp/MpkoeZkEo53q9bpwTnUdeoFqCoHJ25MpVAa0Ood+3xfZwujNgmZ78PbmZ6esaDt1OULpsnl8SvygLtYwk8LMtwpSowZ9othvyYNXYE9vDENDTjKGhtGihba9QIgrTaYEdrSqqul0ulgskI+iFN3Z2aEoAmBTr23oIwb2lmVZr9drtRrF9XjEWZahFIVWVdkyW8lkMmm32zs7O4SknU5HBfKV73pKOxszo20pj1fCQSwMCin/uM1BYZSPbtBCFFR4p4JRnsQn4zVhHCYtjAhMJfNwrXDyWPAreLliSdAFXtd3BfZEnK6HhjFrGC2abHs3R+I2doRWqwXOUerARjOZTLIsq9frVDUgGa2qil6jEKT1ep2tB+EMb5eMxcxarZb5HqShYKFerw+Hw8lkcunSJfz0drvNcZrN5mQyYc/ig8RctVotZDihQlWC0hgU3gUWFgWmfsCIBFxmliQJcZit1UKsa0dZbIJAAFVVQKHvoqgxPJlj5cHSZ9nRHkPrWUPy5ef4Y0WL9iyxrb4NiqI4ODigjza4OJlMZrNZVVWDwSBJErQzcKFmtlwuZ7MZDGqSJN1ut9vtAp+AmXk1QZIkjUYD7ohdDAdZMeJ8PmdXunbtWq/XY0QwPUXNrN/vz2YzuCl2wDRN6fHGKSVr3bNWMoXNZvM2AKHFoHCjFmKYUFBKKPMoCHsRQqYckRDwQFAltvlv4VsAUjsYHkcfofNxJwwecSf0GFoJDas4wzJaNDPbCBB+7nOf++f//J9/7GMfq6rqG7/xG3/kR36k1+vd+mHLslwsFuPxeDKZ1Go1ldUzpB5kmkwm8/lcaAcFyt7RarXYleiyLeEML0NiChZSBSECik0ky7Llcqkos9/vM4CiXq9TttFsNqfTqUR9HAEsJHYMI8XKF1aHcacLRlKcX8JGG2UMCm/RqmB2EnQo19ECplGopu64pa8fDS8xKjBKUfGEyGGz3swvFRLYmjdpx2HhSf0TkpN7DImktaMhY7RoF9Y2AISf/OQnd3d3f+qnfipJkne+853f933f90u/9Eu3flgzm0wmh4eHEhGI4Wy1WrVaDa2mc45JTJXvx00GjmIG0nhQqdzzJAt5hj/RoZS6QzQvUEba7FClUlmf+MJEpDfEhYI3oDpJkna7fWz+T+lDMoW3odQvDBrOO/q8iy3ENmmVpVVhvUnVqUGYksDoOCwhrWRJQFPfpZ2ITSjL28O5Wsdi4bH9E9Kjw7nCwkQ5hXa0xiNatItpGwDCN77xjW984xt5/GM/9mNvfvObb/2Y5veRer1+eHjIxtHtdpmaxHajlmZgD31nsixrNBrEc+Px2Mzm8znVgWq6bWYwk2hHzSzLstFoRIbPPFwRdCr9Qxs2PloFgmxb0ubxdl5ACAtLJiiSwCEML847Vlupo4hB4U2YLtYKu6hMm1QzYsvNLAQwQaAFEaSGR1a+6EIaFo4M+SEsPJYjPYkgtQAjzYtI9Y3CkDFiYbQLbhtOD3ziE594+ctfvpFDgS5Ql9z5hHek98yPlT88PJQCRc24e72ec244HPJ6esGwPQmuoDF5niCPI7CVAGO1Wq3dbpODRFDabDYJDdVxNJROcJKkGCVU4RzkmysoXKkpPL9tKAaFt2ihTFSqTvMRGOgiwWdRFGBPWPMXBnDoudSuVgwBUMfaIy/A62E+bG3kpAVYGAZ/4SVmhZ80nCus+i/juJJoF9g2CYR/9Ed/9J73vOe3f/u3T3nNv/gX/0LE6dd+7de+//3vP+mVFDPs7+8T2ImBXCwWTz31VFhlSApQ5YBZlg0Gg9lsRhs2kAlgo2QeXpRP0YMsy8bjMZsOgSOMKAk/8/sXcSFqVZKIs9mMEkbV/s9mM0Q9bDTiYBVVaDujDwBPhszVxi1k9m50fv14PL7IQWRYdSAuXWgkBRZwSGWqnlmHQMphpS+V3oqIEKENvzaMBW9nObm1BjTh8cNLvPK5oXh1/eqfdMBo63bB74UtsRu9CrQDO/01GwPCz3zmM294wxt+9md/9q/8lb9yysv+1t/6W//gH/wDHrdarW63e9Ir2SC63S7eLnX0zWYTiQEbDRk7ZC908eh0Okh1UNCo40yr1XLONRoN9imaYKFEgHoys9SPpG+1WqVv9k3Cj0oJ3gsKEixOp1MK7anxQAFBTJCmabfbxT0HJsMNVHur8O+896Cwj+UNBYVVVZ1yme5uC6+Uyg94JmQa5eiIriBFrdsVnj/EqvBd8PP4Z2rgzrsIHPkvHpgdha6V9OH6usJOestZ/hpNdpHvhe2x87gKmwHCz33uc9/6rd/6nve8501vetPpr7x06dJLXvKSMx620+kMh8PEN9EmEUisBthQq9Dv94n5CAoBOTYUCh5QqyPVo+mMus+YGZGceQrRzCaTSbfbJTvIa9iDUNNQpK/jg81sZ6h4oMuosicSVY8PkWbasKRuOFfJjAXpopgpPKOFxRK4U3oGzONP4irUCwbmHEWoeFTzQR6PaXLEC0TIC02drz1NfGNb0oo4WCFHKk7V1hSkobuzQquulEycdMBo0S6IbWDnfeyxx77pm77pB3/wB7/92799f39/f3//1o9pZmma9vt9xW1sIjQ5Awhns9lgMBgMBsPhEKQErkaj0eHh4WQyMU9Llr5lDHr01E9lyvycJkEaf0VuWq/XVyQ22rwo24DmUpO25XKJ4oadMUkSuFYzo0IjzMFok9IuqS3snCzUUOhDo51koZqJ/J/5zJwCawuwSik9iAfWQxii4VSx0ur1ervdhtLIvOHqme+9gK/G5yZBwSILcl1HimmBlUdbdVuw5MKvFv5VB1xpII2zxb4AACAASURBVBct2l1vGwDCRx55ZDQa/eN//I//kreQ/7lpq6rq8PAQTcpkMhmNRvv7+6PRCH8WAooKekIucG46nQJ7MJb0oyFTSJVFlmWdTqfb7cKIpn40BDEl1Yc4+AydICck2Wqz2ex0Ommajkaj8Xgsh504lfPhBWaGakb9bkIVQxKMsNCmc974tI6+0Y61lWIJEZI8o+sogYz0XGYG67DyC3OVWW/Qp1XQcZQ1GVbom5+dUvg2bEnQUA2PsPLN6Fl1PCZm1fPhOQjO7Wiwu/5XO9pAJ1q0u942QI2+4x3veMc73nHrx1k3ihbYF4jwzIxaQOCQBtnScJZ+3GBRFOPxWLsVRVRQo8R5JBoHg4H6hZJipPQCzadzbjKZNBoNHHms3+9TUE8Lm6IoOAHyi6pfbLVaGlgBVQs8k9FU0TQArI31vCWdfIVjqbMLZdXRttdhrIyFIBEWM9gaKRrKRM2jVxU0mlFNBS+QUJlVCkmgjvCCvSqYZCmFqkoMdfCwghDW1I7WqlZVRcM/Pj05ucrejpOYxqYz0S6IbbVCDERptVrNZhOxiRikRqPRbreRxnQ6HTY17v9Wq0Xj/8PDw8FgQK5O+756ECN4mc1mi8Xi4OCASaqAFqaEopkxsGk6nZpZp9PhHNiYYMBUAT0ajSaTCaDLt2DLMzN6gisDxIZoR7fd847VQursXD9oO024pUoD/isaU8/zelXvhaSoEnLmLy7P6xnoAWAGB0i901zQb9Z8pBiCovl28/xJyEqcJ5begpH0+q/gVk8WwdQL/elYThVzQYPTYxnUaNHuSttqjw+4gtiklL4oCpq8iGtCC6Pm2oXvHUNhA/IWaVgIBAnL0LxkWTadTjudzng8Vt5lZ2dHhRZUQczn88FggDan3W73ej22NnYfDu6cIxE4HA7NjFCSIE/dRwW00K1hUHh7JDPJ0ZEFFyooXGcsQwuTeVyUsP5df0r9ZN3K98kLS/pEOaZBP24Lsm7qtMABRUjyxrA2g2OG8RnlsCEra74rzYqox7zXZR4gy2AMYRhHVmudHNzRPqVRVxXtIti2AyG+cBjSkf9rNBqdTgeYpPUMtCezmdg4FosF+85yuez1emwlFB12u10G8Pb7/cFgYJ7mMjPQCxEgQEW4MBgMIEIR71KzPx6PcdVpVUNskabpdDpVF0olHRUfMOBQGCmxn/Ot2s5161HofN5M7PZYeXQKhAUilypQderFgqLKmwWkKA8Wi4Xei4umq4YKxjkHnVD6Tg64PpqpAqlgPtDkJCvfWY1lAFe59FaWJQ2PlGMufUW//ssHUT5RBDMr1LDNHe1Es85/JscNeIoW7S627V3izrnRaDQajWazGSq74XA4Ho8RAkB+ivaZTCbMy4UXBWlwbJ2fl4TjvFgsePHu7i4aUZQvZVnu7e11Oh02uMT3u2LoEtvWYDDI85w6xXa7reoItjBm+U6nU3KHxJ2IGnD2IUs5bYLI8AUhaXmu+BRuc+cdgN5xI9IKdR8umPO+UnVQHR0ZkQQ98+Sd5H6eV5gLpJA09e33Uj9fQmpndZ8RK66P4Ghayc7P+K2C0RAcGRA1HwWaBz9epjNX/QPvYnFyHLGpaTCf69g1kJ7QvzRatLvSthcIZ7MZssxms1lVFYoVgi0ArCiKS5cuFUVx7do14rb5fD6dTskjoizleYYLqhAQd/7atWtXrlxhX6iqiv41QBSOvFrSNJtN3kXtBB46ghqQDISrqqrValHXwUZGrSH7IK8PFfBsbalvW3rbJDN2NCi8W/e4FVSzYIju+osFUUrL8bwEnKHAhJdBY5ZHp0tSwON8320QLuydxlmJPlXvGIETC7LwJjUNBuBNJpOiKBBO6zzToK1o4fvfKkAUkCviTI52oF3/QUSQrstqokW7y2x7gZCi9T//8z8n9iJoq9fr/X7fzMqyHI1GZgZQmRnVhKAa8gR4pCRJ9vb2kJX2ej12ImBvOBz2ej2yKQhhqqqidxrF0dpKwj2FeYcKAsxMndg4QzKFhS9bBIw5AWUTZ7MZ5JW2m5AUvQ2ZwvUPvZtsPR2YnqFxj34NYABuwMzULc98qCQiPTy42MjKy2GqYL48MKYksTQ7ZdCtFPmo+jaYWZ7nnU6H+go6GfEWZbsV2AF+oYiU9SnwFvKZ7ywqNv7Y9RYJ0mgXx7Z3cXOvjsfj0WjU6/VQjRKTDQYD2ntSNdhsNsFCQjF2E9FNvGx/f59AsNfrTSYTNgie6XQ65mMC51t7mK+ABvDY5lQFEQpbiPYGg0Gj0WCzQ7ljZuyY/BeAZPAvX5CtqvKzKZJgnP1tCNSSu7cNtxQrWHLmlnKh5EQxUBE00U59tz9EW8RVkhDr2uGHJUGDGHUiVSCulVb56WA8AyyBrKUfdSk/rNPpTKdTFM7As1rs6o1yccJiDL4Xoa1eX3kRbBHUhIQWCdJoF8S2FwjN7Omnnzaz5XK5t7fXbrfb7TakEP4yndLICIYFD9QXZlk2HA4hOUVAESMi/tQQVPAySRJoVTOjcSi7FR9kZnCeEq+yx6lVDYXztVqNont2zzzPYUR5JViO3Ib9SEkgAeHtlMzclUBYrXWEOfvPGAJh4SfFhzgEkFRVNZlMlGXEATIfhha+dyhLEbcMtoAMHxdXAhYgUKxm5YWmUPSpH3woYQ4dASEwGA0dijyFoOYXVXq0tV4aTOXla6a+6mN9GbiTBzxFi3Y32fYCoXNuZ2fn8ccfn0wmBGdCLwVqABWSFm0fSGaof5hOp6g9m80mTa0ODw/7/X6WZZCZbHZMIgSo2Ln6/X6SJLPZDLopJF3N7yC8UrtekiQEixCwehkyUdCUPYs3oqdQhkkeOnbe+KTvbj7jdX6fddusOq4jzBlNKCiBSeEn7krAyWsgHrg6VObwRhEGSk8K80pfw2AeUdQ1lFb6xHZmlvvxTCI2zftqFpR24GmBbai05EJBYISi0PX/Cnp5wFc7tlIiPWHAU7Rod5NtLxBy9xJUzefz0WgkyGFXIkdCEzXzE03ZIMCYwWBAZUVZluBirVabTCZVVfX7/Xa7zWgbskFQmmbmnKO4gkLAyWTCOSDvrHwLD7DWvD4COU+WZVTTs91wqmyCqGbSNIXR4lT1r/kZ4iE7et6bjoDwrtngwhqJG/1GIRDioFS+vUtZlqCUGptxcLLXvKsKSvWBQxhUnDDoAd4rUEyShBw2i8TMYBdEqNrRmo08mB9Cn265g/xXOM26Ih4VQWoBwyktjEA6lGutWBhTujizMNrdaNsLhFVVHRwcSGLgnDs8PDQzVRBy03a7XXARlpKcIuFdvV7vdDqDwYDbniYybCJUIqK7u3z5spllfh4TiRxauznnYK46nQ6HxSWnfxtbCfDc7Xbn8znQKMAWg0oruMLXRGtCYbgNgaO3WTJzN7GjoUb0RucnhOF4GbR9US2E+Qyf+u1xEcO3kLej4A8CkysIGVD57jC8hdODcuBQ0LBaA+bBFf6TUyIjyPXKsmw2m41GI5Lc4RtzP4CaHLlKiSxgOIWvodz02KDQHR3sHIEw2h2xKrCNH3x7gbAoCqIuiS3NDGxrt9tMiqh813/u5729PWJHNotut3vlypXLly8Ph0NQEK0dTWfq9Xq32yV2vHz5MgMLIS1x/EU0ER90Oh2U6/xpPB4zK1FKdIQ8xI6ZHzVHrb2ZzWYzhhIg1VEFCBlNBBcrEyrOe9MJ2dFn+wZXHB0ceKNMr96rFCOXRmV8rCiYeS562FYU92g6ndJIQalfFxTz0diBRatfuwqazfK8yoTAXYy6IHw7YlAWGAEf50B9BUuXI4uZr6qKtbdCACS+9Sjn4IK2tyuWHi21vAvcpotsVdApcJutOmp6vjwqCN+IbS8QajbNc57znKIoBoNB6jv9MwJXxc5oysV8kkHUvHj4q6tXr6qCsApmQbChEP9duXKFwxIHTKfTIqjHAhTJIyKBGY1GhJXwrtR7kFmcTCadTqfZbNIQoN1uiyAl3Gw0GoztJewofXG9aLfbJpkpnv0FhaFM9KRKwesewXwGTj976nuYhX8KXYcqyAUyhEuhISGjzkQ8OeuHk1QPI95rng5VIWM4mEmUbOF7FUlHs1wuwTnui/W0Is6iWruF6UB9x9wP0Dg2KLS1pbL922i0Y6082mVJAijn7c6d2jOme+qkF1ysiNDMarUaVYNVVdUbaa3WqNVqO5e6WWZlOUuSxXg8mS9ckVfT6ZQJSmVZ9vt99DVmRgh4+fJl5xt2MBQC53c8HiOTwfum0JCieFCWJ0WCCa4SPyJYkYEiRcJBdh/19Z5Op5pWjw8+GAyYdyEgZBUWvvrw9mQKte7PY23dHqvWZKI3eoQyKMXTMSVoAgDACRhs8ZNCxDzPx+OxolJa/fFedVpnPTBEpdFosK7oQ6RYE35eehmtBGyxWKAjxd+CgUCxDK+OtMf5jrvEpoplLdj1iqAukDUplh4CZv1XSo5Orohlhc9Gq9YaqR8LOe7k1hPnatVaE4yVs8LOY0vc3tXsnCurJ+fFfyzLsigLlxVWVYVzw0lNOw63ullaazZmy7RW6/QvdfI8bbSyMq+NxzPu7el02u/3d3d3aZYG7OFiLxaLZrNJTZiUgWxb3OraYpbLZavV0jB6TlL9Zcge4ZIPh0MlYAgiNddeXNZsNtvb27t06ZJ2YQv6I4OOyuWcn5t2F7CjIQre3O6szV0Bn/KCIiEIsEAangQReSMwxi3KVQaoBDyQFqPRCEp8OBymvgafxLaZQa6Cwei28MAg55VUhszHr+IxcmWxuEIsKbY4+cVi0Wg0IDwSX7rKL6Cmvub7wh+7EpQprGJZ4bPTVlDwJKuCOWLnfEZ/YcVaEwx31MLnN/7p2wuEZVkmiUO6qcSMenuyE8FtLhaLspyXZWn5gblaVstSs6peWbYoi1pV9otyZzZLu92dXq+Hoz0cDnF+yUHiqiMZABohrMR89no9EJF/cdvZDkjA4K2bWb/f5y246uaVC0wxJDs4HA4l2AkLsVM/f04tJSsvRj0/OHxWs6N5MKvh5vxErmDpO6VVwUAlqXk1ycE5B5YkfggXwCkFDUCox1XQoZSYklhNtYN4YK1WC0UMC4+YD64ibIemXKPqZRGLAofKDjLjF08/8Z0BtK44bb61JoWZ7xvOTsQtsP5budh37dls4c2ibSfMwK1Eh7ftEq8Hgie5Yudn2wuEBF7wljj70hdUvomGmaFSyX2HfvO9/0kTLpfLPH8qTa8tys8Pxv00uSdxV9Kk1+v1yrIcDodqqMZ83fF4zAwmYSFeOcVeBwcHKrFoNBooIyaTCWPrORmxoOA0G6WPXG25XF65ckWbzmg06vf72sG1vSZBpXPp7Zz4iuRZ227tVmSiMiBBe4RIUeelkhID48S4QFFV+nIF+RAaEEaUVvnxSarBSH1vNlXLcJBut5v7wV5mRj6bQZvUzidJ0mw2lRc3LxBjAVd+WAo1jrReUzJPDYyKYCYiBKxYUC1p82nFECZlSey79uy08miDId0s61AXwtJtuMTrOctTxG6nc6e3Ytu7jhNf9lv5vtgWlH6rKyPEUQiN7DvwmbjP5FdcMnHpl5f543lVT8tds0uNRn8yWTrn2GKAmdFoRFPHZrPJHse4eSCKw3a7Xc6QcrHRaOR8hxH2QXai5XI5Ho87nQ6bJvvpcDjs9/vD4dA5R5PS1JuOqfNPj05oKnz92Wbh0D0LK+tDgcxNyEQxflsCNX7qFVJ0PB6rEwJWVRXEgPhGsfTiCRLfgyYPRv7ydvG3IRPA66VPFnShbVYukI+ofLObwndmKH3DNiGuebYTtGM5obVRo5zKFzXqTJxz0Pjmi39OUpDGvmvPLgtTg9flllgwK01rz+nEVujQ5NRuiJwMVP/Gd6rtBULn65q5aVEohIKiMDGjRqD6ZcuyhHiEOEJWlz8zE2Bm6ZNmT5ZWJbVL8+kVq1pmxsepdSTgB6XJtsK/VASKWMCJ5shUIgJ4VaAt7HQ6w+GQuJDCL3Y0Njsep76PF8RXFXR/Dn8WbdzA4UZWw7OOHV25sW/6nEvfQcaOzp2HI51Op7rlwpFb+DTSJ4vMFGXK/TyZTCgrJE8s34jlAfNpZpCQXGiexP1yzgFsfEGqfYS+oBqJ58oPlOCvfB3UOi7o55D7mSciGMDUKhhzb0c9DFQ5Kz+aO9p37VmxYC6yVUfbLZ0lg+D8IEwLmtZu/KzC2O70QND8t2BxslFvFp63FwhhDvnm0izM5/Mw8gNL2IaUTZQDLocXR9jMVB0hUWhV/XnW+PMi71v5vGLZgF8llGQfbLVai8Xi0qVLBHwcnIItLh4jEp1zlPajBSVoMDMeXL58OUmSvb09Lvzh4SEELJrSdrsN+Gkv1lcQ4IUpHP0+pe8teYs/9bOOHb1FmWh4HCwLxv7xJ8V8Zkb3BrXMns/ntLFlFZlZ2GWNBSk5qJwV2E5+3sR340OWxQLm09FbHR4eIuyazWZUuxLVIcxRPMci1wLQ+asYMQS5LMu4ZcL8Jauo8uIs8z1Ogduqqjixld8tDfqunccuGW2DFhKPZwePMB9cbrqj0A0FghZgeZhy2tTJYNsLhLkfzuB8yRS3t4Iw5VfkViTBzPEymJTEVSyCZmZV0BDLOefcvssO6kl7Ptstyyt43GZWFMXBwYGGKIFYzN2FN+OYTJ9IfMkXXUxVMYYzTg7y6tWr7G7wUaCyBv86XzvIlmce7ZyXMqa+sltfmTO59Z0oefZ0mVlJDd70cRQOOm9cQdGMSz9KHrzBr0LhAkhwOXiBiHF4eAp40MLgP6mbmgZNKPsLj+q8aBnVDNEkfAaTmJRptqCuke5IamRTeeGPmbVarTSoScWBk5svRkFZQxfMylj6edHSaq2siiSWFT4b7FZuluRowcx6NvHmLNTs2Bmy+0LByrdPwcXc7Da1vUAIGSXBCJAj/Z5IUfE/eLu8VwAZslXSBIprDhNjVVUl6bTZ/u9F/mS+vKfM73fumQIGJh3ed999y+US9xxhAkoZaNvBYAD0An6dTkfdKfHE0fjRiQ3GtdPpzOfzRqOBHIP6xXA7Lr1QEJQSa5f42T1iX+1mNZMyrcXqHBLRGzTdmXbLX1lVNKFG1Pz9BoGZZRmzREA+LjG0BHwpLyBsEm+v/rTOi7zwbCAY2u02pRfElKpzxzEiS01MpnjUzPC6dIZ4RQB5u93WAM4wPUm3d85B0WEIcuYRNIwana/YgV9J1mZZ8Mqomtl+C1num4uiwtBfNTy3ckohCroz1DuFvK5uk/NwvLZ6+bLF0OGlCmQy4jy5jWGoQCD5+BxBacWQe7Sg04fWivO18C6Zp7UvpelVVz3PbLeq0qIowEKJaJA2EAdMJpPpdAoWhk2TqScDKTnbRqPR7/cHgwFrSzpSaFiAvzw6MZXthifDfV8k/qaw8NnCjm4kNWi+Cp6jpb5kkz+Rpau8cEZUBEm4yWQi7wpVZ+nL1eEGZrOZokm6Gkm6iVFUA8zQfUYUhfnUOEiMWGY6nUL7c40qPxCRfkbj8Xi5XKruQqed+pG8qrXga6Z+KJh5Zli8i/kJmiJOgUxFAyxFhZJRNbPNtqk8erjP3KLHs1LsdN1TClFwxQPeuOO1vUCYJAl7QeHHvCEZCNOEKgSGNRK1KPCQKWsoEiz1TV4yP63U+dk0ZVmW5bhef7zeerIon2dWd84xqgJM1f6YZVm32z04OGCHunr1auInNJl3olWzz04EZUpsoekZFDJSASYBgvN6HAWFK0snTByWvgncrfzgW86OhjzPRsJB83yRiIfST2M2+hn5gKksSxSkXB1iwcKXHhImKj/NqUKWMqep9L1jIOSXy6U6NqS+GSlLl0/HFosFdTvos7Isq9VqiG74XBAa2Oaqqa+b8w1L2XGoCJLuxvnxYbiPePra7Ao//rDyTSkBSOdlrooOk9iMe1ttU3l0O6oTvmkR6a2goAW4zhZ6Eydwum0vELK54LbrFwGN5GXrZsZfBucsyFsI4QBLoWDlh7qFjBYfEaYk63Vrdh5Ls8uT0X1lWSJv2d/fv+eee5huKCwcj8eQXVevXt3d3d3f36cSC91E5duF8NEalOP8ECg2Vt7igonhctW1+6z8StrBzS+dm84kbxsQahfmvys8z60cufAKbAsS9RyfHgu4FMz50yBMkEmBl3qwgZGw4nhmoBfV7gAkB2SgGIy6SlTVVKH0StGlH3NBB3lYykajwepVE23YCPOcFbBXliVUhBxBChaJVqF5+atEMewvyKrLoFcqhAS3XhL0lLFAYatu+FVsxr1NtkGX0Y4KZ27uQq+cz42iIJskR1CFz2Zte4EQR9WCYaS5H70rD1qC2tBfCAstpMAsg/I79i/mV8AvmXdYEt/CAzRC1ZJkVzs7w8nwuctFczQadbtdmnQzrZ6djoaigsYVLR+APRqNdnZ28GjY7KgylBZDX1nbEEcQPh37Q6XBzHEt05vAQr51mDe90SNsxBTQrzyvGwMcCvOpN3p8hYMiRbVI4BskkDGvcJNYBlDBJ1Wy1vytDo4SvWkaFwJjsG02mxFZQu/0+/08z4EuAJKTFNdNSk/wSSd3iXS63S6nR+THp6B2NjNyB6Io8OTAwtQX+HO2ie8pqChQDHnqq3rEN2hTU4ZC/HxUzWyDrbiMG7kiie8ZaTcuIi0CjehZSNoVFOQW4AhSFN7EVzjdthoI8ccVvYl0guSBw2GXMZ82o/pYmUUJTZUEKv2Q1clkQmRZevk4hwoTh0FTm0Xv0pfm093JaHc6TQkONBnHOddqtcbjMcHfU089tbOzw9WCGWMbraqK5mrmR7wWRUH9funzlJkfpqpkTxionURAhctU9MXNYaE2tdvs3Z+Ef5g2X10gPe988vyM31cEA78tGz3Ioc7X5n+B0k+H4ARarZb5+hbITwuyFwrRgJ/ET0EyM+pHl36yknmAfMbTSpJ2u83droQi64pAEBaByZoCpMpLZtSiXVwCPwuhbeJlq4R3ZBxZHvLJXCBXFlOiaDIMCsHmak3OrhUYVTN31jaVGly35KZEpCsoeN1dZR0FcUPlGjo/3u6i1BFa4IAo7Kt8Zb1Y08pr3hQpKiBTEw3nW1KF2gQMZ1y9PYugUJ0NQmUrRZHXm1frjfF0/Pyi6I3H49JnLhuNBskkWpgul8vpdIoDfvny5U6nw8nwKaSOmNDE89RNU5hRliWFFlz7qqooxqiCfpjH/lYhFtrNSrxuPzuqXNS6lxemSE8hRUMy4LqIqHwz/+X7qq+YKATuWOer0UsvVhI6ImPhWrPY6BdqQZ9u1hUsKJIorTRhMNC7XC7p3oAbZ2YU6sjhY5omvbn5aE613++zqvlEWCM5VWZGkSvVFxbcSpD2POYrQOSaF3kVvudy5bU50tbyZOIHDpsP1sO8+E2uhmi3bLpTbj01uG7p0frR60LRjaKgHVf1GIraRDlsfI1tLxDq/legY2bkSCjPAgWToyPc8J1X5JTk3lA3hBn+oigmkwluvg6Fx+G8oIbNAre9LMsknbe6f2blc5fz+8fjMc24mRVFgxi4L8bL8SlsEJVvO0lnGVJQuDYk9lDT4GKL3YWwgs7ixE6Bt8TXLPJfDntDKyZkR897R5Nzc+w5hCQbKk0uUOqb7dnR9ol2FBHdcRrrKqix01cjiHe+UlNpY9AFk8vFkzQbChUlZZCQAxe5ZLlv1d1qtfjo3d1dXoMnp+uF6wOYpWk6Go2m0+nOzs7u7m69Xj84OBgMBk899RRdbRkiTZTZ7/dhJirfJoZ/caURl5kZQ6Qt6CGuM3S+bpJ7pPJJ0NIPHXNH0+p8U+4IcFfEr6ovNr9cop3NTnEZN2KhcOb0BErov54RBUOHmLWk5Ffiq+D468YZ+O0FQqBC3Tt5sgqKK0VyWqAWIeenKJDdk/ZXzndKg1AS2wZZVPnmGlBebCVLP1K88AVVHpW/WGseLEfPGw7NOTccDu+7777FYqHW28PhcH9/v9PpgEb33nuvC5qFalShmcGLQgJrqBO0GAAwGAyyoC/l6Y4Y31Ff7ewMhiwJ6ihu/KKdyaoTOucCXSvbaBi9KYGqZ+w4QGXBKDASKHKoUFFF2Tv3tgTJeob/TiYT9CmoS1hgIUibJ3CGwyH9Ygovv0JlQ+TUbDYpvzEfcMvnkBCatLHu+el0evXqVcCPrtxUKEL4NxqN/f19alvN+8uJL5xAVrZcLumAWpYlta0sD0CUoLb0RbqlV8zCpsoPULGjcoQ8AO/JkQOZulUjQXpHrAiUohuHCh05DCROutArvMsZUTl8i/PpMDZ8hYNydm/9u4S2vesVv5WNhghJmTYzK3zHYWXRwt2/8nl+FRhwBLnwZFb4kyJFtgDzqUE9FrIKEZMkKcphu/fY6PC+8fgZr3l3d7fVaqEsbbfbk8mEImjA6cqVK2maEi+GqSnYMOfrvSSZoe0kZzuZTCjZZo87fZdxXuJV3VQZrAtUmufhVBZHuyvZCfinc7iuh6tEiK5v+FeBIga8ZVk2Ho+pY4FIZzFIHQMIzefzyWRCJajUvOZ1Vbirzg9tgCondtQMIxwv4KeqqsFggHBU7IWWMfWCgtvpdEryGJCrfDdReTnEc6VvQ1ir1Zgp7fxkCTns9PAjYgPh1JUi9VPMzK/zpR8rXfj6QgsacCvwLX1vP+fnUuHwFb5bk0UsvBMWRmDn9ylJICE+NigMUfDsDG3ozoqTkGOaeElj4btPbxYLt3qx4mMK6kJnhNpk86DlvMJFeVQccznXpe+yn/u6e2QpZdCnW6hZ+u6mSs6ZX1sqe6iqqizzdu8r82nRqT1ENqjb7fZ6vaUfZIFjXq/XKa5otVqcidqZlmVJhb4FkxAqP/SVuYYCQjUEQeNzyu+2goU3JGE4P3a0PDpvxc4gpF7xEE8/vi5QiIgCQn49tFeDwcDMiN6cb9pOowM+kQJWxCywiGhGWGYsOdYJSGN+AldZlowTYTGA97SNeAAAIABJREFUoLg4Tz31FGUVYnrNzDmnGJH1qZm9y+Vyb28PIh2xqL4jYENWr/RKn8FgwKk6301b0SHLD/6TDDS/GHFws9nM/RQz3DJOT9imy8eOVgVKGfP+vrLa4Sa1KclitLNYiD3nCoThPrzuLq+g4Nl3Hr2LAxZehp14U0r+uqzsTdj2AmF4awmrnO8XLBZUCVUXzGwqvcRIP6Kq5s3LvhWwhxIDBYUK/sw3f6m8ps4FjRnTNG22nxrPqlrtf4RPu3LlipmNRqOqqhAKHhwcmHeQtQMSMupQUrqzJbG9avYhonzpFOjHdvo6cEcbfxQ3UvqTbHoYxToXeha25CacSh289MWjoiiFiErKglJERZQ0CKW43+AJFSFJSAk8LP2QWyI8Cv56vV7hxyGNx2OC+IODA0QrWZYxpL4K8nBJklA7iJoGHMVVgqvULvCc5zxH7RfYgCj+m0wm3CD7+/uNRqPX61W+/LHVakkFY2bNZnN/f59oEmKT1+inE8siZ0gRpLRCujoS4Ogy8eLKD4qyGBfeRjt7OBjeiTcHJ8nRRgo6SBVoVm8OBZ3vC62IUEpm7kd27wtEjZa+tRXMjPOdRVNfGqjdbWWX1z5uvh6An1UxtfkKTcJKlVgkXuNgwfXQAUPVXCiUSNO03rg2mf/RYvEN7XbbzB544IFr164p4CuKYjKZ7O/vm1mj0aDLDJXU7KFwU5PJhOiBwKIMqtnY7Nj10Ltnvg/yKQvC3Wz/+ORou7Wbu3yylUDQXW/eit51XVL0uh8X8njw0s7XBvBTU5yQ+76gokbxPPBU6PNHQpdqB1H0ohAPDw/NLEkSko6LxQJJcL/fJ5RU8xe6sjlvgljCShEYlS97YI3RYo3Aznzql8EUdNZmGgbwPB6P1X0GHQ21j8Aw1ALxJem9xEttuafC/LTIT3kVSm2ue+UhguINqGbx7Jcv2s1Z6I6ccpsrZF95XtfRBQn40/cWt1ZqVR2d93R2FAwzGklQpJH7amxoD4rWUl+8dFHKJ7IswzvWfPDKCzv5XRIv8kR+WRQFIZSo0TD5xOYlLJQaAndD3b35COc1gXqm8sMItYyULvL9Ra/tDf6f3d03cEBlBJMkYROkpiLLMuoXCSDSNJXWQLELuSvn3Hg8hsgiUlTWkI8gLAiVVOuWHC39sTMnD1xQWX/TV/DmAkHshkhRO7kM0Xk5aHW0I0y9XkemVBQFnod5dTFuB6lcCmMQTxVB0T0kJJdGakkCwTzPr169ulwu2+32cDg0n88GmdgpUMe0221xG7r6w+Gw0+lAD1D/rteXvnCeXCOrnZXZ7/fH4/FwOEx89W3pFcvi4fkIEcgqV6W2VYw9wzLDPBDwDKvMKem20rqtfJseqoDMT0kDRM+VqYtm1wsHT7o7whesPCh9ydBJd58IJwFh6O/eqPPKA+c7+upJ54WjSmxrxsvZj38W214gLP2Ab11asVvOD6xhJ+IZdquyLFVsIE5J+Fd48WfuO7epQ//KblUGLTZEhUlcyiVf+nF0PlDb+/KTv/OiF3xbml7Cne/1emAVr8SpIRBsNpuDwaDb7SK1YFS9eSeIL6i91fk2N/RW5mRSX9ohFD/W0qOlP7hy1/3xQ3b05i7fiijmjIGg3hu+6/QXr8OtBdFJGQyzdM4RfGtMbuknMcGO4nYcHByopIHGeMRhg8EAyIRCQA5KOlCCyel0+vTTTysag1HklMjsLn1Hb+fc/v4+3pvIfMCDNcwaGAwGIBPHJKgty3I4HFLF8cADD/T7/V6v1+12gd486JFUVRWH4pzNjGhYtIdEMXo9RCtxYRUU78s3UgV96hvcWHBvgoWgphqFs0QjHJ6TabNa9zlOcRDtem5uFaTo1u/cMCgsjnapvCF1XhgOpsHUT+UIS6/8KL2u4vQd7+Zsq4HQ+QaMyttJPpP6DhfmeeqlHwVe+WRe5WuhXNCMQPCGi+Gcg71UI9DSm/lwRNkgEjlCYoWYbDS1Wm0weOpLX/6t5z3nm1rNe8wPdOW9UGTEoKmfpzocDlHQFEVBA7bMt7nS5Ca51bxd5RylL+5WZvSkxZfdeP/4W2RHV1DwhjbBlRvjlFcey/PIAdKhKp8jpKJOK4e3A0tM/6jX63t7e/glhOC9Xq/T6dDVZTwecxC+HVU3iEuV8GO0JB6MWgix/IbDoS6cGhKZ2Wg0omta4QXGXOjEV6wPh8Nms7lYLO6///6qqg4PD0vfzL0sy6985Su0SYMmvXz5MiDEhsIKhFl1fh6TVGPKDpY+GVz67EsZdHIHwmu1mvSuQk35o2yL3EHCdbBQOi+9JiLiZu3YcPC6d0doKxFheA9ynGPhULuEUsJ24wqpIlCBLoMpe1rGydEm0tI9bDYo3F4gDLmXIijjSwIzr3xRqoNskPodL32TOgAA6CLN1m632XEqP8ipCCaVh33OzOv02Ho4fuJHYVhwLc3scHC1st+55/Jra9l9pW9Jxefi7wyHwytXrkAf4TsLnpEIpr67I0wXXBNePEfgMWWLfHc579flMaoz94+/aXY0Pzpy7CZuDB6cQoqGhTQyLQn5Mbqp9JYkUBErti78fK6rV68yU3exWIArzrnhcEj4RUFhuBIU88kfwt8SS88CoBbC+S5FLE6SiJwP6qdWqwUFSuWf8/OYkHqySjms3MHFYnFwcOB8RfylS5d6vZ7WsMJfM9vZ2QGb5WNlWQZXT7yLToc0DIS/fnwYY041920+VFNoR/df0I6KSc5B1Smsc6X8IyJuxEK00/oPWUrs9B9cAaLz8j35dvqUdTgUu6Zw5Ywur+j0IhiokPlp5EJBnE7lp80TZizCrcsRlmX5x3/8xx//+MevXbv2/d///b1e79aPaX4IjpITyBkS30hMzn7hK4IJuaqqAuHyo81lyqADSOH7s8jP1V8lFnC+QKryUgXhDVsSznXqqxRwjXH/R6OB2f/bbf9lK+8nKZgEgxKLonjqqad6vR48m4Y6hTvLcDhklN14PGb74JuyfxGY0pcL8UXu6+GSYLxUeXQQVXqD/eNvjh0N8Sk5c0ZQFpKcx74X6Fo5pfD+1Nv5wXPf24VuREmg5ijLcjQaEU7lviMazhOzHWiqPhqN8jyn1Qu/BpUVXHSBaFVVmimf+uJ0QSPvIrOY+gHLYDClEUSlZkahIVwoNGZVVTR5FyPinCNDSZxKlf1yuRwMBpcvX75y5QoJaXBosVjAOiS+6SC/Bt+RRUvxYpZlik3BclaRllxIOBdHp3uuXCznFaSAutaGNq+Q1dh4vudC2Qp9UhxXp7viU4rm0b/HOrs48SGzKjgML7c22NP1Cvro8B4PvV45kRhzPXGhFAjJ19/GHOHjjz/+nd/5na961av+7b/9t295y1s2BYQiBvkhwKpwvxNLaT4e55KTOzHvGUkaVwbVgUCg4qSwtQckp/z30pcYOt/rWctC/gtUGIEaO/ViMR+7T7lqkLoH2UcSP8JQulA2sn6/D94r8wydRaxJEMBGCdLTrEtILNFE4XuDhTvUyhIvff65PIOIdIUdPcvKu0UUPJ0U5VsXRwWoJzm5obPJpax8vkEuCBGe801loWXYrHu9Xr/fb7fbh4eHaD6pdi/9WMHlckm8yL/8pMrwmZeNTKfTw8NDjaqv1+uIPIk7IR4WwTB60ddmRqzGiVHXmPleS4Io8n/Ir9CUAorEduh9ptMprQqZfMLvgyBL4SmNBkFHac3MV80q6iV2dL6MTNdaie3wEmS+N7eUStrCQiJO3tsNLZVo2Eo4GKLgSXfHOlKeZIVvupt4nbw+tAyUogoir7tFrHw0m5XIdh0Kn1JcXekbbynYkDe5QdsAEL74xS/+/Oc/PxgMdnZ2bv1osjzPGXir0FgXwPmGwoCB+bCawLHyNfiJz1jw44oTU+imI2e+x7lq6hVi8hpFWrkf/6tNWU8WRUEQCT4lSVKrfXG+LJ27XyeAq06nLvQaBKDhrHPqyZR9gSAtioIJiFVVNZtNBSXwY+xrkmacREgqMLUjetfTRNLyGa+7yvMbHLy5bkWgkUmOZjt0P+hJcXrH2tJ3UQdIRI8zAFmUo/leFShyMz8dkAK7g4MDGNGrV6+yWtRfLSTP+UkHg4HCJn4rmuLqpwMFQUfWGAlFoJFrUZYlhx2NRshw6IumO6vRaHQ6HYV0MPysFhfUgZC2xAskEFSZo9x8uBBlrCeTCQsSqhaM58ghsS960/nBv3w70bYy59uU29HWgNyY4Z6o+zoypTdqZZAdDH/SY32L6jhZWWihpyI6jS1U1z30foqgdbMSOiedp+7uKqiOEKGKvyVlMq6qMFiOe+UF/2d0zc9u25sjJDq2oKRBrgf/RTZiXo+XJIlIzqXv8R8KapyfTWFm7I+AFjtCEuQg+VebaXU042XeVyp8z+IqaLiVZRlHQwefJJ8vrSqK/nQ6ZQxFmqZoH/CFF35+PSkifQviS/Ys/VVbXrPZJIIhvUSyhw1FahrJf1YircobTpachvVLkJytsn7lDrm5HS3EOd3DIgNCR1Kh0kmHUmpBgMqlZAEQgcElcubk1UrfRY/kWZIkk8kEmQyXg5iM13S7XQ4OqpFEBKLksXU6HSX/kyRB1Sk/F88GL0rxPUDFEBJmTaRpqtDTzGjmnvi2DCwk6FNqjSSoEw/Jd6nX60888cR8Pr9y5cp9991HNMx35I1gNteRnzfP836/LzwD5rV5lV5eLz+MTEF4IVLf5SfxgxtFJmsDDfmVyJTekB3L99gJKFiulfPKYzs2mBOsKqzXdloELUDD61552fDK55aBAr/w6WFeqb9yR7Af4odxm5PnhsBDMygGdetyhDdk/+bf/JtPf/rTPH7FK17xrne966RXErLgI3BnKpQugnLAxDdb0U2Fn4LXIKUo/Fi4s4dEK0tBik1lU8xMklF5PamXoaa+1UjiK6DBMEKQRqMxGAxqtZrZp4viRYtFi9PD7xaHiRAGSirP88FgQFIHzhPFIJhdq9XocYzKX0CI4tH5icRJkrB1hoPiLEhQl74plx2te13PJfD1yTadpMTZCApaUIuSegk1F3QlTKz54Y7HHqTyCXa+KRTifD5XQ3NxmNr3UU6hCM19P2tpYcixcZmcc3TLYz2IBgcF6/X64eFhkiR0Wk+SZG9vj2tUr9d7vV6j0RiNRsPhkJ/UfBQlJ5fzp3BQyRJCw9SXyuzt7R0cHFy+fFncgAqN+SBkXEnQUyLx4gIz29vbo9h/d3dXQMsby7IcDAZEgXQS4Hcg466dS4uExcAdKm6WzKWul3mZnzhqcRUrycJwQz+Jz9gG416402fxjImDCcOjY1FwRVl2xpt0BTvDI7PeeCwnMvF122WQguE1VdB+xHyzFE67FsxRh1nJg/qf3OtFM99fBv8VNuWMP1S4LE+y2w2EDz300Jve9CYe33vvvWpPvG6z2YyOHqIuuZFgtEBHDMisfFoIKaYLasgy31ab/TENWriaGc545afMKCIMYQMWDiglPyQhnHOORIt4VPxr57t+Z1matf97XjwwHTe63W6WZd1uN0mSp59+mnOm3SiRIn66+UpSei5jPM83lSqPP5FMJXvEM0rznESSsBDXKSl3NLUAncvprS+m6qgG9RTZ6ulWePGO86IepSWk0RANHn66nGJdfW2yvB6OBRRUorf0RXvNZpOqU+7G4XAIE1iWJa4VFzcJRt3Sd1QSGwCV0JB2svgfiG6SJGk2mzs7O7xA+Kq8L1k6wkSWH7lDGFR+TNBo6YdCzOfz/f39S5cuceaNRoP2pBChksbw9XkBeWXzbg2/Hu4UvxW1kmLXVWjIVyO0TYKSiYUf0onXhZeQBFPssdT3IJXbp7vPHe08Uq4JHY9dt3fclr4pz/lZtTZN7KSXheyU81P61u+RPChmvVEnY8VN0e25/tECNiGWtt8yKMKpqmqa29Oz4gW9jhwjBhWUZQnhYWZpmna73dKrY1qtVqfTgXrhfMKWude1s7zydgPhK17xir/5N//mWV4pHYF5vTh85grzyW0mr0EerjgcOd0uqFOxgO6T58K2pStXBpUJuksL3xSbDVFrIgta9Tvfns35VlVp6lqdL+XL5y4WdYapsr/s7e2xaWoyALcZ+yPqfM2N40vBhVJ8ps9iZYAKWdABUpTF+p6iGbDrbEYVDNkQd2pr60kv4783jYKVz5ZbUKAmH5N7O7x7q7Ua4ZAkkLsAXBGvmKfpMt8dlN2Bi4h7S+6QB3Jp8QN4QekL5ggByaVVnpxH8cTKJLOY+Hp882wtpffINcVkVlVFayTzklFOjFCVuRZCaxwysJk6RaJAes0URdFsNolZcdd2d3eVImVh6J4qy5L0pJJ/Ku0PeTMcnXBSB8546dWkgLrolsJranSlMt+hV5wK/w2XZeIHa5RHxRTbljgMfcTzMBZ2uNR1j68QmLkfHiDwW0dBfk+d8M35FqmvDuK/ctoI5pIgN8n+o7LayqfPx0XyJ4PkD6/lf3ponxm4P7iWLIrqZZert/wl9/ZX1rvlM71BRqMR4SBpBd7LOmcG2XA4xAHFu9qsR7K9OUKBFkkUfiz5SlmtajbGtcbQJWXdVUlSOStdUpkrzXJzhTNLkrKs0qpoFEXDqlaR1517htU0H/qkXtLG785HSwdhQd2FgvrEt8ZOfe2EXmk+YhNnK+lpmqatzpfGQzcety5fvpymab/fR75fVRUCPwJZtkXnXKfTwdlnA2KezkpldOGbgIDNlS+N0C6mpb+ev+HME6/+WEEX/hsyq+Hbq6CvoN0CCprXyOhn1H2V+vYlOocw3xCeZ+GbUJjfUolpGKJU+Cm7lMFQxqA1QNUgpX4WzOkVFgoFgTQEnNyWYg7Q1+gMabkOlbqzs1OWpfDJnhG8tBvNwrncrFrMF+ZqaWaj4TMD7vM858V8NMIotoMkSXZ3d1kzRVGwX6CgITldeHGZcw4dKQhNJGqePdbdxPdSHGx+rwcana814kJAxqhxDG5+5cvO+FA8vyzoXFH48eKVb/Nb+OT3ChWfrgkUi4uUOCxO0HMeGyNWvk2EJEjhDX5sJCeyeiX4tuOqEVxQpSD+TApBAozSd/MofdsKvsK4qj964D55rfyjq+UfH7gvDMvKSnPOXGrOWZVbZZ/dtx/9ZPp/fGr2xgeWf/urqgeSgSgTRs6Jik/TdDAYUL+Em4Xzt5HfXLYZIPz6r/96Ug5veMMbarXaf/kv/+XWaQ0NWKie0UbOs9q8289r9XmtPk+z47NEK5Zaaekys2ci7rZZWWTLZS1f1vK8tpzXiryZZbXC11dUvlORC1rpJ0GqX7oAtX/FL0598t957Qy+cOWHRZRlmWau2//vk1EtTdOdnZ2iKEjAiC7TkPp+v48DzhtLLyCufNU8uyT9oMugqTR6+tJP0hHqP/NrrGGhUlOVn1e8AjbhbSNc3CwKKvjOfAccFzRYd4H8RO+Sp1z6nhSV71Itv2E0Gi38AFtR6GG7Cn5w0ocEcACJ+RgaB0UoyE9KMQMKGrqVtlotIIqvwEUEBe+77z6u1GAwmEwmLsn7lxb1xkGaDgtbOnN5npeuLIsySZJm15bLZS1JsqJIXM0ljWbRGA0brVan9BWuJJjxhxgmxWPIDAsoYr4CQw1dMFCeJXHt2jWBKGz8bDZDzEUEiYvQarWAfFUiEojgUmgl0NhB0jbFfOXRFBHrLfP1srp9wvXgfKq+DBQW+cmNvu4OW8etxKdmQreP/5a+5Zh+k2StsO/Y3N6xfqSOfPoz4lEqL1e0gHDSWc3my/c+Wv7Mny6WllrWsKRmzlnmzJw5Z+bMqrQoakk5K0pzNhzN/9V/Xf6rj4+++sryu567/Ib7lp16Fgaa3JWDwUBlhaH7dYs/e2ibAcJf/MVfDH+4jbAHVVU1mlWtMay3xmk2zWoz5zYwMz1J80aaN5rPZEqKIp2Oe9NxN8+fabslKpVIAidFkKz9V5Qsm0vuqxFCtBBHyl/NzFzZ6n5huWzmeUceMZtIt9ulH9V8PqfvpfkdBF1o4cVa6OZZDeBx5ttFUou94s0VJ1Spu6PDpkVOCvjlFuR+Ck/iJ9XpCLfirev+UZxtwXy71DcVWnGTRYHKTc79mFmuFHQiER6wATRKLyp/luNTsiJI5juSXGRqUqvVItrGMx2Px+ppsLOzg/OBo0oAx6VhHuFiMV8sD0p7ot3bMzeq1TKfqnSiE0J6vyzLWq22WMyLxaTeTC/Vy6LIEnfPct4z76JB4c7n8yeeeGJnZ0edhpyv0wBysP39fQYzaT1zoRlY0Wg0dnd38zwHUNvtNgnvxDcXND9qESKXtQcWKt2I9FSRYuk7jqqoiRMrfOo39S0G7QRBMotwxQkr79ISi5NwCxMchl6FfmdI8vD1hZeTsFQkgChOLZw4xVifklNI9wSF5oLc5NOL2sP/Mf/YE7k5ZzUfsWX1Wpb95cvuq6+41+xWr+zMH9rJlnnxK48VP//p0WeGc1vOLJ9/8gn75OPTe1q173hZ/c0PpS9pJgonWKhsdOyxN/dFTrfNAOGLX/zijRwntDzPp4v/r9X90rF/raqkyJtV0aosrcqkLKwoDEatqhJnmUsys9Qli8TNXDrPakvnZlm2tKNomqZFt3/Q7R8sZq3puDceNxd+mEDp1ZXJ0VoWRSfA20r+TPsUY3Ul+Q0o9aWr/elk2mo2dvTGsiyvXbt2zz33sCOz7yyXS9CR8gmwMEmSwWBw77335l7TjJet9YGc3Xw9kAvKn5VLCD1NoV0RtJuRYy72L/c6aQWRdmuxoHmyxYIwAlhNg7Z2a9e9WtkiCy/H56uRcB2Px6hdCKGAQFxaSD/9PuTVqqoiA6GPhgJVeqYoitlsBpXNMPp2u02KkcQ++Ug+PU3TssoteWo8+7Oy2l8uZy5x5uuxdHxhhrYqTonwVKRCreac26s3ruX25CJ/blXuLhc1QlIWQ7fbBXqRmJoZYwg5T6gCijeqqkLOg/x1NptRItnv95GBsLdW/lRZWvP5HLq+qqp6vd7pdOgqQBaTBUD4qGCOj+aZ0NFh4Sm4lM752OWhH0EYoEPdETiU31b5rPatn8Z19ZxKDaZeeAIzH6758NxCqibxw2yFi4rkkrV8//qXNa9eDo8pyQIXBa/LzH7zi8X3/qdqb+Ks1jSXvHLXvfY52Vffl331FXvN/UmrRlfkYrGo8rysJcVbX7j8X+5b/KcvTT782fl/+FI1z5eWplet83OfLX/+C/bNz1u++2uSK41KlbvNZpOlC4EBQXKLP35o25sjTJIkTe8PnymLWpG382WzKjtl0VasU/r5q6abp6pcRWFfliR9M5s/o+ReumRRq+dZNk+zZaM5S9Jn9tN6c1pvTnuXkvGoMx52ptNnNixlOMwMjDTvxq64aVqX8GNmxn2e+fb8bEDOuaKYFe7R6fRVafpMh8nc9+CG7USPXqvVDg8PqQGnTbMyjhK4a14PwofCN+Iirg1DQ+A58doTnXblkw0iJMN3mS8g4fwpweZ59rib3g7Q/ZsPFOTYZke7OmGKyJ0XpDnfDlGBVOkrJUgEahtF/MLNPJlM5F8D6kJBsoPsGhynLMtOp4M+bTqdXr16lcrCxWKBkJKiCOfcwcEBbyTXWGscNpp/Xpot50URKOvMU8EIcywQalW+8U3imwjym0j8med5kszG08+aWVHUq6Q7GrSTpEErhp2dnTRNVYTDMYnSlsvlfD4Hd+n6xIbCCc9ms2vXrolkFvOpNm+lb/kPjjov2xYeyFnkNxd9Qmk/y9J5PXbpO9SriCg9tRBba1IfJ5LgvBOH+rjQWLQ8VjAkv8qCu+a651YdzS9cl1zRrYqHVxQFxHV4D4ZOaupHmYYHcT6bK59s/Wx1g2hf1RdUQF8EOqZ5Uf3ox/Of/jSucauWuv/9q90PvjLJnnHNK8sX0/yZQhoWHvfXaDR6aX3xv72i/MGXpb/xxfL/eqL+xGRpWaM0+90vzD67V/6rr3P3NM3MYGVKnwO66ej2FNteIMzzvFzs5otWnjfzZbtYNqvqLyoWsuwZBTbrsvR5fvPbJTuC83JeewZZsySp54uiWPbNbHiQ1xrjVmfQaM7hXZO07O0Mu/3hfFYfHLTmh7WyrJKg/Tm8kII8RQxl0BadVGKoJ9Z9LuqyKCcu/fRs9j+0Wr1Op8NOmqbp4eHh7u4u2opLly6pUc5wOLznnnucz/8NBoPQHwwzhWGKSL5kiBaYCzpdrcS4ugTOV4BwU0lPBEehiKq4cXWfUJCdVw1ZxHPKxJKJyVRIoRtVfrq+F2whL2DjQHjC5SBSJ/OfZdlwOLx27RqF51SwgILNZhN6c7lc7u/vHx4eoiDlJ+r3+/Sjqfxci/F4PJk+mTW+bMnYXKMoEnFKIqlwJsqgjFWbLP/Ng3ZlzjmI1hUkqKpJoznN7rHp+Mp8ntIHR4Ol+JRms5n5JoV8HCJkCnJws65evSrw5hPRf166dEliFsiJwg9vKYP2yoSPwlSWn/OdJUrP/EPfcXHJLLqgf2HipY+nrJaQn+CZKqjyPvuqO6NpOYXGn0KivvLaLkHRCoydcnorhH9yQo3TiuV+SIDzU0qIyEUqJL7TQuoHnerkw0tQelkfrL5eU/imWtrusDCa1DrhIJ8/LP72R5efuOqsKsy5F/SSn39d9drnZtokOedQCgCzpX6EaZr2rXjLS7OHX5l+/CD5yBfdf3h8XJTl43vVW//v8oPf3Ly/UZHdGI/HxAwXCwiTJJnNantPP5d1lmWJWaHtm4xIuBfjt6a+EVrhKzTF6QmTRNdUlY2H9fHwHpcsu/1JtzdJM9JO1mwtmq3FlXvdU0+2R4fN0HMvA/135Tu3ie3BB6/5XrEhTvB6dtKyLMtqXG99frF4GRr30WhETDMej3d3d82nXkDcPM/5Lxslr+fTMz9GoApcZoJXdfRm7xZap2kqTqMK6lIsKOmzwGlVZwMLqNTwYp2yHawb8FD56gsEYILifJl8AAAgAElEQVTqcAGE6Y3Kt7LTnsi+r/igCMaYqQUPdx2uKF8hTdNOp2O+w9OTTz55eHhIQT2lS4SGZtbr9biOvEC/KpEW0+c5h+VyOZkcLIrP1ppXq6oy+wtCL/FZWCUpuRz8VpVv9a4tLAwv+H2ItPSDFEVB5Fcmeav71HKxNxg+v6oeSNP00qVLwNJyubx27RoDNLrdLnFwp9OhNhGeM8/znZ0deDY6P2h/PDg44PTYKIfD4eXLl6UjFWz7GzNT3UiYXMTPqDzLyoWrgsE65gPiNChNO31DSI42EituZNb0Ga30RPr6nwQ5zgu4VlzJlfV/0k2RnzqepfIhb/ik8EkeoRovCCDZ5Uqvdg6pmsRn/XXfmRnECVuEBbhOiUIVVG7IT+WVUiT82ufz//X3i8NZaVZaZX/twdr/+XXlbiuBD+Oio3ku/Yj5EMZwpDgym8A3PCf7+vuL37q3+pGP2aKsvjJJ/vZ/zH/u69MHs+VwOIRjIDrcOBmwvUDIPiXXmFuFHaQMWo9WXqde+TbciVdSKdWv66fkX+IzFkbayRrDg9pkeKnWmHa6o1ZnblaZWZpVz33+eLKzeOqJznL5F1PW5F6VvkNp5XNXklE4TxCxkqogXSfnukoHtcaXRqPalStXROhRMY1Oj03THU0dsSWRwTKzfr9fluXBwUG329VkqMTL/8Lsjn4983uW6BFJZM2v4PBeNZ8bIDOU+UE/drQ12rHbQWjyWuQfhOlMvUy7g3a90mcrRYxoUyg9dxdS087LZfGQwDbt9UI7NDUU4dG0k8G2atZDXTyNs4kRcS/4qfGBhsPD2eKx3D5f2dSqv6i7SLzqR8ghF5jLQeimP+l3C0ONMqjbAVHUYqJ4Zj5zWas/viwOprNXsMJLr+RCLpRlWb/fR9Ipj4cobekbhJZlORwOd3d3R6MRexNfjctdFAVYiA+XBtL2yje7gLmSYwqFoAQwZZHcCObH15W+yZb+PcvutsKUbhALK9/sN1z5K0YkLT+4DFKGOh/nWSIOsnJTFEfVoSui2WNhWNuO1g9C6NLXxYqWKIJaF+f7BeqWT31nJecb8Mq306/KOi8CSYR4IJYoyZ3xPP/xTyw+8CdLq8yqMqul7/qa7g++orIqXyyeYcvH43Ea9HLiyMrCOOdQKXMv5H4W+nw+f/1z/n/y3jTotuwsD3vXsPeZzzf1nW/f2xOSLAkkNGEQkzEVBpkKdhAOmKoosRO7yrjiIQYHOxUcUqaCY2LseIiHJGDsxHbACYY4wQQISAgsUEuoNXSr+/bt4d7vDt905rOHtVZ+POd97vput0Qjdapulc8Plfq7Z9h77bXe4Xmf93nTX/u95s//Wljb7s1Z/I8+aP/We9Zn3QrnuigKCPB+8U88f7kf/MEffH2/8fO8fuVXfiWE8A3f8A2v5c3GmKef/uhs8aKoWcFDxQNutanF6zgkEoq8jljiV1kd5Ms/0hbTpxpjRExd2elJMZv2UnRFGaxNIlKUcbxTpSjVukCkJVlqSGfMP3LLxowSyfIbMyq807q1iHF2h0kkDwPsBWVF8zNGN4+dEbQ0aJXazjxSRLBpsESSNbAbRT5t9sJ1kgQkIlQzwm+ZrJPJZMgzX3mw/KqhLh4cE4X7Pk73nBu7qENesKqtdi8xlsQ1N9lwwaZp0COIWAQmA25suVxi+u5isZhMJuAibW9vW2uXyyX6Lvb29vBzd+/eBTMFy4UmJ+SOKaWT6fXZ8iNVfbOuq/QKyg/2JDv5JJMZI/eBK891MBleynUTtUT3lUl0762MveOcLfyOiKHuGkweaSzYJCATMSADdAxLBC4o2/NJyqBKDh0YO+h513ASTkW9uRPkND+LJyVlDHj7aooNn8cyWE2g8/38Wj77qq+UMU34tYgqXPbCocvRZpOV1ZmE8Zjnl8SfYKqXh6F44dHkEWFmmk7BOdhaIPEmRYCCTnlLylfA+eLF0wxS5IW/kpQowFIIfO0r765pmucOV9/zC7N/da2WEKWtLwzSj3+de9+Feyk+JAwJ/OBXQggYhNIqbZsrLJrq4Gbbtr06sm873/1/bqa2beer6pevrb/yUrHbNUgzrLW7u7uvb1L44DrCpmk++cl/c3j0LL2gU2Ik94fNZEToISTTDiVEZrWqIRkTgc+YZxInP0W7XhXL+UhMKjuNMWKMDIbNcFRXax+D585I2egQURyMQS7/znoG7R32HJxZ2VnHUHo3Zh1eVEwHWYhVfRwmiJJ14FnNOK2Wsr2KYSLnMMorKfSVh6tEZhg54mW1ZIWKWsr0zflx5jpMffJkPWg9j7EL7isPX+Q0vwDeLmU8grzQSw4bf5fQCu6UkQ2otrAsDJDR9ldV1cnJCdJujIzAYHfv/eHhIUJXJHxt204mk8PDQy6m977b7YI2UjfHk9lH5stnFospWQkE4eH/aChFbcR9QYZkYnhJwSusnpwOI/B3xH/Ma/kQjTEpxRCPxRyl1BXpYhG4vfHQnaqEgD6Dj4NfaoxBWwiosKiYmkx0EL9LYIAXkDtp7jQ6tqT8Jhp9k4kGx6zhlVvutRgHfjn3oXxBvpDBGTctrhBu4D4TASDB63xQxrvpNCJCf28UDeZv5Vs394JBp8XxXlw2MM4ovMEwi/4D9Wz2uRtjgDRw2U0mp0WkB5vQZ1poRmdM4nFj/wNDErUM+OwnjuJ3/kL94lQkRgn1v3Mp/Z3fmy6WG+YEw1yTabUDnMBh5GMKqnlpMmoVMF5c2NWR/bLt+Iu3XJNkEdIHb7Rv2wlnBz6lVFXV2bNnf0cs/Xf1enAdYdu2v/XRX1lVN/GfDHZwIGFxEFPkRwIv/ifTDnAl2mx+B6EtUd2poBUOfY9Zrzqrebfs1N5DpCpt7dTexarqxHBq99O9mdMoX3hFN7qchhM3gZifhXZgTBd2H1kOYZ9crUZEMCoI6Qv+CE6HZGoshQrUMYzFqebxDln7AX0hLz4p0isikP/2Spc1ytumtyOswcW/Ly1mZtCe7l7IDZ9VSFMy20o4VDId6qCTkDGQIWm9Ia+gYLoCDh6Wy3sPTwmC6NHREbIiIC2oOiCSLYoCo/smk8nt27fRUIhUEtJo3vuqfmlZfbyup6j5Swbn4kbAlsSt4UGk0+XkpIrDJuNbcf8wpOM/0YbG0911kjVQxhjbsE7mrphlSsMQNtES5mZYLfbg26C50+gIDiDtrYqVAFFnMMQDklLKp8HlSWGrooZ5xsYgCRg1d6mc7p/jR35XzuyL8YXpdItq0pIYomeXlcmZycEEfx5Nk9xl8u5ooJpM6Z4bAKaJxWM8xzylNhk8gH0Im4ZQjxU4rxPETAbYwHMzXgE4aRXtjIpU0TzS6+PgiFonfL/3/k5lv+uX5aCyYlzXmx94p//+txcdtyGQU54X3hfMduccssM6m/qCzWC0hRoABu4Uhxo+8rHd7jvP2H99bVEHWQTzoZfrd56x3bDs9XoXL178AuKez/N6cGuEMP3YT8iH+GKIDaMTXw2pd6okiVAr6qi/oCI9IoK6BYwvniIxK9qjlPzd/bI/nO7szY1NImm8s+oN64Pbo9nE0gi22iCcu1LeQlJISlTkk65Is5+Vkafa9k0hbLxR3vHNk4N8DjsbKBZwPwiISObJnHODwQCEGuccaukIu6hUCSOetK+DBhrfz85rl42eYGZAW4aHRUDGKBRDK8NKPlaJgXDufV3GF+DZC8oQZqzKiBWxag40EYQxxqAFENcPD4e8tqqq+Xy+XC6REcJCoTGu0+kcHBxgHUBQmk6nx8fHINHAhYSNimaKcn1Vf5o1MGZ4RgVvOTg3nCbgsWTCZCgqVSQqhAjPxOCdlgXbslEhBa4kfxRxgNmoH9xN9rDbe2Ix7+BJQbONTho4FUIcCHYgZkfSjOXFVwFWxUO01kLzDygF0h1QZ3GbMGcoKzKNQJaJb6OWr80GfGIFmEP8rgyczxRKGW38joYlvIJ2yDXnZfAgvPKV4zq52eFmFj0abTZIwWrHMFFxYhj8LBnC/AujEy4aTgHZmMTeaXnwr3gWLCJi+zE4Zg7ACDJkA+K9agESXC2KYt6a7/lgu18nKcodX//k17k3jzfoGmyC1S7epDpc9NNRyRMUCA2Z5C85z0bJU9jkKaU3dOY/9l73Zz/YnKyXB2L/zK+ufvDt4T39eybo9Xo9uBmhtfbFlz59cPRZn80CtVpvx6bJjWlUDF00CsND5ZNgLmgUamNQlpT8jegVsADxdOdcDIPpSeGLpijQP5BG43W3F+dza8y9Ihm/LT9OKUNNbVakFPWgYdO0HpKcpLArYr33YDY6HdaKrclWLe5RCkhSrZsrg0OVtz3BojFmd8q0TFqEx/UzBBYd4oNJe1FZGEF5sK8MyXMg2mYDgOCKaEEAG0qGJXJZ7vOCjF6JqeLeeVP8lNVhZovFAgce14BoFyJn0+kU1UHUVwaDwdbWFniVs9ksKQt3NpuhaxCPrNvtDgaDbrfrC0nm06vqJZgwOFq2B4hyPpOWbbghgwqsJO2JzjdkVKoIvAiLvjRtOPOwd3hbHgumrFKQ7iEHKcrdsvRGtlw2yxQ+yev4eBpu7z15oXB1LMpSya/RcdZELMhfMAr8Wi3/tNpNhAiM6SCpGYxrJcv+eT2v/cUEiPvw87hSbKdXfhz3JZnG9H2eUjT9RV8pnwJeeeGD54K3ljKMxOuYdfiM/K7zOSeiPhVpHI4e/7Npmul0yugBET8PI97jMjoSbweoGH4dWdp6vYYWfEqJKSOlIYxKJllf/NEP2Q8fWLFFYcNPfGPnay9vVOPJHgoqHI+qBJpl4XRRYxZtl8LuQvxEjh5NECPpk5OTlNK5nnnHTvuhfVna7rppPni38+UXem88P3595UYfXEcYQnjms0+eTJ7nISFgjVfUAkNSDiE9mc3wNNGzQXTL6aAfo5UJm+E5LpvYQDjeOZeSmxwXdWN7vdpYEZGyE7a222rdCeFUIcFkuFZSoaCktTTRxJ+plVUmurVBzCyGXZwavIE+oyiKVsW+0V6G0h2gFRFBUmiViCUaL9MV4UZiVphx7h4VlikdUZ2k7ETYwZSV7pgnEWslcute0ZUPrwC/2LYtHoE53WEpGdaaLwvDW9wUgaY8BhfVK0AEOp/Pg/Jr8A2Hh4fz+RwRNOTrkAju7Ozg8jASC9+2WCwODw/RgY6G+g2RsqiT+WSIU3Bw4LSY3zPgwHaFTTFakmHgBRuUstpSzIa32QwGl9MsIdHUPGWICJeOW5dRxcbcm5mYZWhHMC+4MDh7Xh7+E2gw/pUBolcKYrfbHY1GJqv10uXTNXLzp5RYuyW/g2IUJnt51dnxOrCX8U1+d7/j67X4wqjwcv4pbnjupfuyQEZ1DKo+l/3N78tmJUD4LVoYbGaI3PIeO50Okmy6LqNN0kGrg07ndNZ1PZvNGHhBEi9oN9F9cgd8vl6FfJFK5omgMQZnB4+bZgcYOGzmn/+I/WfXgsRg2vWPvjt+yyWj4fum8ImbwrhN0YDDGNM0DQSbYCWgVojVICAM1MFqjweOPMZ5AgF+qGe/6uHOB19qlsnW3d1fPB583ZeceXT8b0dGKCIf+/iHjo6fYxwqWZcVT1HI+sejComZ02kNoi3kTLTRDJSctofTpJKl2aoUC4LflNJqYSYnnaJMZdmKiHVpNF6H0JHU5TGQ04ohuBdzOhm1yqbBRzIErG2axXrVx+XBsgOhwvYFhCUigBpwDJzOGEIueB8g06jGUtu2eUtQyjo6eKn5/2Lvcq4K32y0PZzxrzndnm9UGSu/O9hEotxsYOKn+CjxnTiobITH+52Km+NTeCeWCKUIdEQELS6u1+vZbEZNbfRi4uLPnDmDb8AbkEq2bQvgFOcTDmA8Hne6c3FPh1iBZuIULs6zVa4Di4I26+XAyU/aLMGwySmnQBQhSFpy40ryTiWLotpM8ZXLyHyL+9+62vlJaAZ1vflppNROqafWWsgLQDstaXGBnabEkPOKJnPc+4IqRkXwtahN8IHm4REukui3yQaImgyteY224r5NmH88vUKxlj7eZKr08XTrXu7/+PfP4whf9ZKw1fl/kCchVUqakVMcGPAVTyuL3FhbWiQwm3jN2AmVTp/OozEsOwluXnvw6adpNp1zbGZAITzqEEER+dtPm7/+VCNNLW31Z99Qf+flNQrMLFKiEoEuVXgvLC/mkcEUEKrFM5rP52QM4Dq5E6LOb8GtoRi017Vf8VD89YPOvA1b49GffOfu2d6DJ7r9/8eLBVsR4SNh4gKLD+ZbjnU4nQuRm3I0ICMeyY+6ZIQo2IWiKLDPonYvJG35Yv2jruXu/vZqVO2ePbE2GZvOXjg5vBPWy61aJ/eGbNIsfy6pRjYjVsIg+CNqVGV3EmNntXqI6ifwed770WiEFASI6GQyGY/Hzrn5fF6WJVj+w+EQHRdML8qyJGt5sVhguJdVGi2PmYhUOsCW/wROWr684A0ym8l9IU0znp3TEi/BrvzNSGr5WFvttGXgHLWIYrSIiCPdZlotVgfeAo1ZLBbofE8pQUUaf8fPich4PIZ9HI1GxMzRLw/kFrAq3MB4PN5MnUwvBHlBZ623eSAsikTRAeBGmJzR6MPqpYwqifVB6plL4TiVEZDMVHHzY59YHfJFZofPqMJ0AGlThFuU/Wfa+oq1QyZh3W53NptZrUghuz179uz+/j4ewXw+h/9D/0xVVbCVdPN0bKg3Y62w8eq6xvBq1B3xDdwhtOP0hYzYYPhCJsyd+6HP/+KZEnV++Urme5gRGClI4TSv1Z1ucv88r5Thn/l/4tEnrUfiRISsI8UqxNXqIOiU0alYU4jKgsZRQq2XloQnkSdLFGmHf03ZIAHE0AyFGSoNBgOUillRijpupa7rn7u+/q9/fSHiROI3nVt9z8NSVYYRG0MiPFnsTILqVllC+ELABnmtylo7HA65abHPEZVafbUqIfLodvmjX5n+wq8t/7t3VW/dfZ0VhR5cRwhz32rTSe5OuEB4W14ej6qqZVXzAnuOQ+StJuAMZv1pYjd481ZLLyRE0ANBO2Yx79b1Q2cuHBZFFEl7Z6fTk3Z2sgfEI2lXX14OCaozSQFGo7qLOIcI2ZxzvcFdI52mtnQGJycnZ86cmc/ng8GAFWYsCCij6IqDKUwpQSoMITlCKrSQQ2llOBzmDthoNYLnGQvOoxgVq6RBD8o6Cyo1Z7Qyz+iblggfwV3nholrCwcjmRYiqXRwzGRy03MbnW2Nmh8KHjhCUQd7wvoALBIR4nWg1CJ6AGoKzNAYA368MQYAjkhY1Z8M8cBoNZfHG8uCQIElN6/6q1H1YrggeVLCAOKVwDVNjJymPvFXklZDuT8BYeHxMZNjpMKX98+1ceXCm6IqrsGBYZ/s7Oxg4OWFCxfu3r0L02yMwYQpSPqBXAN2TFB6FOIMSsxb7XBtVMU7xoiQzquKLH0VtpnVCdusI8ZsMAv33msxGrkvjFpXy/81/8+odbs243BZZfGk0woP+a+ETLrsVV/3OT/0ojD6zOO/mDF48a9Yq9zT4HTgSTnnoBMEo8Ebico/cNrqCnNHbSB8g9Fempj1tmMDoLDCwh6W5ck77ff9yjpWjaT2y/fkL76pqCshiJ23chmFxHFrvHfyEnq9HljuINHUdT0cDhGP4npw1zgaUIHHHkCBGTd7sdP+j1+TtjpLjJx7LVviNb4eaEcIC5h7Pp9pmohSLXJUBObAqbACPpsfQmaKLMPQr5is+g1byYyTBg5/38BTtb/xws75S5NurxWR8fbSuXBysBeVwxa1wJPH9diRBFhijLAvrfYaYneWvZdjKKwdilbp27ZF7Ibxb8yigs5PwOYGcNdmRCwePxwkZE54A1AyybLqlCmZpayfN7cUBGPxF0bTTObkdMHvvqAENgK/2Gjft2g0jTSO1wD4N8+ueBkAM+kFF4sFcBg4BvwE9XeYORVFAYIAngVI3rgGxK2NSpY3zTS5ayHMYYwYtpsM2UtaRoVdYLAVN9OU6kZVVCRD4/FE2HHF8y+naSPYP60yzoO29GEFiKbCKFitky2XS/J3GIFtHod7SczaLr6s39+y2kyGbODk5GR7exvaAuPx+OjoCP+ElK5t28lkgt9FaI/wAp05uBL8kceqUTkIpIO4EpORgwh1tBlxFOvDwJcbLL5mlW1aT6bRZADlH09ajooZn5MZzOf6ct6gZNwCOa0LilNJJgifFz7Y6XQIMtMbWeW5GMWHiaJjCwH5R+QXQqD6j1GouVHRUaONhkYV59uMC4rVoGInYRVrLQbKEjOPMb48b//0r8dVVUszv+DXf+aRsJh2m7IE1cUok5kSgBw2gkpESmkwGMAWQXsZFwAtSU5OxR5jYAEjb7QUAhyCG0NU5vQ15uuv/fXgOsJOp4PnnQdxSaXC6KJyBDJopzYTR1Eh6Ub701NGXePSE8eQrIXO66BzEUHexqQnUhfKdG6+tH3m/Gw0rkRkMKp8cXB4e2+5TNgB+CCwykbH/BLCIqqQ13W4Pzr9F5rqTcYUPGAigsYgMGiYdqCaRbkQAKdIa5iAIuKjYggXjS7ZqYAIbUGhMk55FMItyP+TsmYAPhGW0M1pZQN8hD4DmC3cJL4BKR3DEdIXzWk9bvRI4Ei3bTufz8EgQEwKS8TwFogNvh/CMYDyEBDg0ZBNgIsP8ajo3Wqae+o2rZJEGlUOY5hlslJrkU0N5Sh5vJleEKmkqDFlxsNyeMhaa/BZpikMNbyS8ZwOvLXa5lG/YhRXrePcjDlomg+JeVeve6bf729vbwNRh50dDAYIwBG/Q3ENf0GoQWBfY4XmPl/I5WIOhK/C1dJw41Ry54dswDXvxWnVn0txX0r3qq+keA//M2lhJX+1Kk3A73fKkvs8X3tfvJgUybeZ5iJOAXkGjAySUkaxY/mgw2mdVfZxoaKB38WJRvSGA+tUKArfzOEM/X6fS4rDjjKe0aYslMCROOIacEBEJK+hVOL/xK/J7XkjEvds/V++LfSknc1mpQ4/QkIGBCJm7Y+IsIE/4Z8gw4SbZWWKxcVSp2nCvABUzx8cExWSbHd3dz/XY/qCXw80Web69U8eHj+L/YptB74f86GUEiOLqOy7pAxy4iStaprgbUY7Y0T7DRiPfC7jzkhWtPQFr9Y0jYiZT4sk0h/APIX+YB2aYV0nnjESZEzW7mpPU0XoieM91bfo3FzSmZSEtLo8OKIngyMBIShqdZNHlCEqyQ5IQ5NK2IRMGjhkBRV8LSAvyXhx962VaFEkZOUZROUMOalpSZxQRCAnHzPJNHJAYEAhuJoy8ojo5Aok1pwCiEI9fs57D8oMjjTRdXaUsq+RiiosU21QtXTYH71MkXc6M6tQML6WZWybqTviL+a0ZFTIhiYGLYUiGgOSmT99Jhkxa49jOhgzfNWf1gphQhD1xXfmP21dasK+kW5RbAH5dJmyK+6XQRuM0X2bFikLA03mUvkmicrxAWzDHZIfMaeF+ZgJ2ZtMiYY3mJ9KvPNVLQa3Fi+Da8vjFlVYJ2pF1mZiDnyZ7MWvRSEtni6N8yP0f4SXnOrfMnLFi9AlrLz3HgEfn1qjokjAb/jTADaQacGJ5tYPX4XTCg4nKiatsnJyXAEZG0XaEAwZY4qiaEL6E784//idpdSLbqx+8O3xrF1irWBtgGAR7cCX4xq89+y7YPwXFRZiUQMVDWMMhroYba43WnTMrQFbMoDSdTqdy5cv/44h0e/q9eBmhISDohaccGCCcquQGLWZ4Ah3PKwhkzDJdrCcJnA2p0fvEk4hwJUXNuxpBinR7ZTMyeGwbey5i0uR5Ir27MU7IY6nk3u1NDb68HZMVt9m0mAyQMxaa+zSl8+3yyuNCrK0qh8Pc9/v940yfeBydnZ28smuYdMGvpl9YzOyKFqqkbAG1Rm4b03ouXnNRotbkvHiUkpk3teqQpmjqaAOuqxJC6fIqc7cer1ubHF3KXcbdxTKw9gLpnj7nnnvOem6e03Q8D04M+RqszMXlmK5XOJ0IVNJShfC1WJ6bafTuXXrlih7jblsjDHEg07/RZjxlCmHGQUwcRn4xaSsSwZMXBmjwm+SIRaiAxcZafHN3GyInPB+5nx0pSlrh+X/R+BPzRfn3GS+CtYlY5K4YFyIsg4xiEioxZmVSYX/2GAQv+HxN+2NBogma5V7BqQJsoy1FmE7HmWbtTpg84g2RwP+CkoUSqrJ1yrxTzLxdLNp/HdYIiSysPtOBbsLFQ7Mbb18bqSU7gqvvM6dRxKNSluIeg6btRLyhTcwqqPFL1TTODcXtEsm646VrMqL88X8nkJiVucBwJQl7YYCyI8NjEeAmMkqC8ZqGY9dg9g8aIG1WqUGLGmt7ff7lc49ReJIy0YP5LSi/5d+o/71/bUsT0xs/tRb5YmB7XZ3+OAqVfcGTmCtBTKPhUJYaZQnITrQFJ4eIA3+ApCWpFleBnYROnTxPciMk5bAgQaV/5YM5nU6nAUoudHUO6+p5qCTaMRKr2Y2JM+aTpRRs1EtmJBVJu7LPEQTHU4oxXt4AhlY4Qkt58ObL9rzl+fWJmPjxYdPjOkfHTpsVjmtCIUzf1/TGPBDGAX6wrI86fR66+WZqqqm0ynIeOa0gECv1wPyiS/EVDn8Ci+e+SgOJB0StiagFbDDuYZ8Fvl5zmNn2G4GbohOuJVzK5NUWwfe8fo0/PS18PIs3Zjbuwtze50OVmZR1+IL6QzEFWK9SBKJPS/vPSNffz5+7ZnwpmFjzQbCxUQI7AEiP8aY1Wp169YtINJgvkjWRg1Evdvt3r17F9nkZDLBggOiadpbg/F+24aUNsvFVCmqihhjYRgOIDm041gZWpwclqBNd6qE57W5Ik+YjJYkiV+J1l/x5SQ7BGUhWp184r0/rs3+1MwrKymIEzEiRsRaEStiJFlpanExpLSe/fbf/UTzJdtf+m1f0huNRqjOJi0SD4fDw8PDpELMSB2MMWxDwifj024AACAASURBVMqDki3ZhN6kdFZsAzB14dqJ5tEXck0YxUZlkHrVSTevNp63zYr6cnrCHwMXRgmSlVT5jHBTNAivNEHhtHyg0SReMpIBA/Em658jpSApGoQsLaoGltGpjcADrHJx8R40kiPSZZAKdIS6GaKem9wo5qNIBHH2+/0+9icMAvNF+F2cl6hDqpumqarqJ5+1P3MtSL2Udv1dV9N7dsS5Xs6CgWNG74T3fnt7WxTRDTrThvuTVgIcH54gFgKxMZAjlmWJ6Jb80k6nAy5bHnwgHHktTuS1vx5cR0iDa1WrIql6EENCIi3clybrBYSpYirm9BVV8s6cZu4FVQOhBcSGFhH6nqSV/LwyZBQGXK96N18qLlw6cT6KkfOXl8Z2bt3cDD3hGEyeeQa8hY6e4Enjma+qqtPZd97V9TaCIPwdwMJ8Pi+K4u7du2fPnsVqoLZqlV8TY0RXUNCyDcGinKc+m80wKwd+lOYmnWafJ2Wlm9NALs8hvSwCZ7wTqbm1tormZ5+v/smz6Zf32xhFjBVTSPTSVpKiOCu+I8aJK8RsjP4qyi/sh194sZVQn+mmr7lQfO3Z+m2dyVaqCKiK4tWYIz+bzZAXojbsVPKqbdvFYlEUxY0bN46Pj5FTWtUfMMbEdKc/upnXomg3Y4yI4lmowA2SpoSAgHvD6sAs+lGnRT6T9WiLKpGySiqKjhoVvBb1fPgj/5IyQik27awORydxbkoxTlwpoRKxIkngQaOITWKSiJMQJCVJac8/+9Td+hdeeuu3Pj74unObwbzcHqPRiCohXsVikJ0kJR8a1VTDK2o/K6wkTS11IXwmWksMn3dqFcoWEa6nySCcPO1LGeGFzsycnm1Ehy2Zs7QqNfe5jE9QRSr+xSkpj4hozOivIYMoaQ0AsTCJxJ2iCNdmY2GMVgrruoYErlWtMmzjTqczHA6RVImmmyjFMZdtVcwTjgQbDwLxW1tbIYTJZNIq9XQ8Hov2IGJlSBZ78m77P/zWTNq1uOKbHu78kTdbUOpEa5MxRrDS4Mx6vd7R0RFbTrE4UG9HRbnU0SvUr+GeEZHxeIwKdFQpV5Rs4Fbxd2wkWh4R6fV6r286KA+yI4TMY+4OiYyllNpk7izjuk1db4al2xt2+92Ns0TlSTSPQT8ZO65MRhGMmZwurQxrkEZhLqOqH0ln2OLB81wZZeR77+u13Hr5zNlLR0XRGCPnLlYxlvs37o2qscoCyN25U7IMq+isIiB26/Rvto1frz1MFQTYAIh573d2dmazGaCG9Xq9t7dntDsQJAgYlFZ7fUD8I56DEecgpKFz32iNB3YWP8elwP+PWsxIquoiIvi5vEcYz+7T8+InPtP88+fDcRUlJTFOjJGUJIlYK+VA2lWv9Gf77sIgnt8yl4c2JPnl/fTpoyDNSmIQY+5W5qefr3/6MyuZLy4Owu8/Zz7wRj9yLWdeox0QdpCwbVEUQPkgLjOdTk9OTnCYee9FUSRzu+y+HDLRVKYgsDJYipRxkq02kxidl4m/FKqDysyAJ9lqlxVOMittQSkPfO5GwSWjsCo/mxsF7PDJqr61aOdVK2Yt3ohzXe+8915M4cRLXZS+dN5ZKW0qvJUgk8bcXoV5vbpY3ihM85PPvP3/ft79/ovy3rPi0qaBbzAYYGSV9x56tgSWCTOAjYXLQyIeVSGPCYFR4m7K1GdEB6lzfUSznKgTQ4mO0Czch5SmTDjUaIWYb+bbrAqmBO1T+lx98VHlEfJf5KvQcYysUODllJUtSlxn6AyaKJFMRqhW50Eiu2qaBiqAUZVo0KYCRwV3wnAB0a3NGDpcFkRmXPCqqo6OjowOdkCOhfqc055XLtTBrPrhXz0Ky7Uk+9Yz8U99aXc46DvlWvPsB8WKUS+s63o6nTI9DadLVzgms9kMC4XrHI/HVpkKjAAQMyWdqg1DxOvksN+UaXJ9AW7lc70eXEeI/epUiwubuA3x1nx9uDaz1scUxYiIkaKQpR0WMuimrrQ9Y3tiO7Jpk8BJQys940f8nzzjiUqPzGGNdHqQAg9wmymNMR5k9rBaxRvXt89fnnR7tTFy8eE6tMWd28LsJGkRKGppiv8/KakVJxYZqvc+pTDc3p+dlCGMnIo3wk2enJyISj+z83JnZ6fVfiAWAOjh2AHCggfySGAj2Hw4+fgL2jZSVpEiO3HDMdMmNhwG+vLjSv7p8/EnPhs+fphErIQoxklqXWy+/rL9hkvF5VFxfuDOlunyVr+T6riZMxXKchP2PndQ/eJN+aUb5lduNrcrK1FkMZHQ3pzZfzQ3P/NS/J6H599ytpbYwrGxGIyApigKtFe22gAwm80QsW7kC8qy0+l0usdlbx8UVKcyPZKJfYiWgljLkUxADtuApP8cT8OOwnIZJb7CChPkl4y2Ltq0GrS6XKtmaZ4vRiWgVkFuzNOkshKNwPzFeq/XOT/yEjZUlKZpvE/WBvIXxNkdE/e69rhN+00tnTvvsh/56PSd//h5/4svy+87E77qQoxtg2YvRpawm4eHh23b7uzsYPW4l+i9nDI/ib+RBIGNgWsgPob38NpcpsfWanOhyaBLk8lR1tkAP5upWZrTI3Alw5ZNBqjmL0bG9IIma0UwWsdiWhO10EvIge4WF49+QSQ6RuHupHqQpIEAnUImBy4l9IzgILkmRrucsW+T6tiJAmBoCkKMjkgF6CXXHBeGsBWANvYYr+evP7ncr6yIfahn/9O3OGeE9gqoA0wH7BJgJ0bw2AbIF/HNCI+MMVDxZRTSyQY6IoudTCYYF9M0zd7eHqo/rSorYW8gjc6z2Nf39eA6QpgDbOUQ09EqvjhZH81jHb2IkxTFOjFOnBXrJcm8DfNpLaEVYyRZsW5owlYnXh1Kr7iX0uUgTNAmwqS8u1LnUbDMy7gJj4TIvmSqYDnqFTYFiXTr5S34QhG5/EgrUh7c3XQZ26xYyHiZIG0OuuZBn3PNePvmej06d+4CtiNCKgRcxpjz589jhx0fH3vv2W6I3xoOh+h6tqfZql4JkykjK4vWVID4TadTfJyJSK0vJo5B25JCCJ1O59fu2n/wTPqXL8R1EDFOvJMUxLhHB+G7r8offiRdGJhOp2SgIyIxlsSaaDvOdeP7r4Q/eLHtdLufmdh/+dStX31+/eQdWYiIpMl89reenP+LbvijXxJ+T7/N2xUAMRUq8XV8fEwOOs5tr9cbDofOudHWzLj91WrNezHKiAmZ+LWIYAVEofj8rMI61CqfyPcQ68ZmRmTdqPZQykSOuBNof2lq8X4mYXhnHeTOOk1al1ACdB0bzMi2Z7sy6ElsalhhAoyiNW93j1Yadgu5MIx3Q3hpOfX+yd86ecd+6vyTl9pfern51svylh2LMALD7in+gBR5Z2cHJSiY5qgNcHAAy+US8ROcmWQDh6MWw0CxwSkL2kGBdcP3wFm+aviPG2BAyWdE82qyEq+1lps/91v8Km488lkQvpisOg7UhMmraLETV0JpAtj6UhUEkw6aEE1M6WuttUBKkaIBc97d3YWHa1QDnd4rKRMNXme9XqN1D6ESfB7uazAY4Iegi4s9MBqNnHOTycRk3fpRBWt+/oX1B/eTFB3xxZ94u7u8V4rqPKCmY1Rnynu/tbXF6+dqY59gQZgE07bgqvhESJFbLpc4m23bAoEQDbkA3QHoQl5kMnrRF+xZXvX14DpCWMNZa29M64NlM2+ihCAhihWxxlg/7pdnOrYyxaRJyzq0dS2hlRTFGCk74rvzZjWf1YczubIrV7c6TvcWPZbLaC+iWB/6FFsV5WszJS3aKZxtPhhmkKKIv7U2RnPn5s75y0dlpzEmXX6kStI7PhSkcZKhQEnVbfifOfITs/ErRbH2nevL5Xg4HKWUAI9EnZqUc0bu3r1bVRUUZJhPdzodRJoigrsL2gkuIrBx/AaiHLALYFcCtcdRpO1wqn8GAOdTE/uDH04/f0tEjJhCvBVj+rb9g1fcB95QfMVu3TYbZC+qTjqeuFceGoI+fn+MEdOUzsfD77gw//fO+9mq+o071d96xr40nUqsbk7DD/2b9t1b1becXe0W9wj0yHERS85mM7TEMVsdjUadTme0NRO7v163OSgqCvmyMMbtkbTECxtRqLgGtiuONytAhY4NYTgimR4xz7nPZkGIMjOZKcKIAP4ViAFZd2vRTtaxlSQSxBhj3FavuDguC7MZuwP7SF/odLQN97CoZ2qa+kLPXRnFG6vZTvc3f+nOOxe+3F9X//Dp9fsfL94+3NBw0JzDNAvhkSghi9/snEO3GbYKWM3Ik2AHWdkFRAHclQGf1yEYjaoN5DV7GoeQUWOsapUxpYsZahq1OttmyjU2G4LGhD5lTSN8KAx2oxYCCIYzA+Z2xa4Gr4SEkZiJfRM1BUIA2JkZP4acoBaInxsOh7Wq1RtjQIGxyiTy3iMCRqMe/brLWjO995CMsNbieQEhmEwmOIBI7O42/sevd6SwYuz7Hu9+42ObEm8IgdM6AQx47coHtbXNRv62bdvr9VptOGaJNCqWBpefF7wRO+LhwnpQJglrRQCmKAriKAhzh8PhF+VgTr8eXEdojPmHz5r29loiCvtBJImVoTMPjeRCzwy6pih8p1OmlNbrar62x2tZB7sKfmb8qmlCEhG7dvaZhbvbprfuumHPJ4UKTSYSz9CPtoZRs1MxM4SuxMdDJtIWM1I4dmrcgOly++bu+cuHRdEaIw9fXYn0pycbNlTMBvEwT2WMhv1qlB3qlbPu3EkTnrf27Th1mAkAK3l8fHzu3DnOGZ/NZlVVgTYN1kNH524jwA/aYUk7wrCLpooHwOps1SLrv2SCCDt7c2n+8kfCP30+RjHijFgvIu85Yz7wRHz/I35cwNDcY9uarHkIPw2bS5wE/hWna7FYnJycwHaIyHt2/GNvOPgZs/yX19MkBGnbj7w4eerF9msuFd9wwfTKTSsF2ueh7QSDRY5oWZbdwYErDtbrhh33WB8aWVyDUx3zNuuZQ9RPm4hqRzo9nCGPJGzGsCC5N4/K6fxIpjBZUTmp7M5i3dyu/DwVYlqJrVgzdOnCQEY9Y4xBSSuH/QlXsMueERv3FcKaS910ods+3v/wz15703OpFOd++rkw+pL+w75umgYw3Wg0QoSO28HCOtUFJZyLdJC5i9fBrZ1s4nTQsiIuAJADVITgtKi4lCeFKSsKitYFeUdMoOPpQgb9Xx59RtVtwFeFrNeTcFHIioWS8VFZEUA0Ay+I0wFHVWcaDq1S82KMhaqF1SqEy99FkzSrFYwM4K7QloDFx8fxFCATiGAxZvAs/BAkEcgA6Ha76D0IOiBlMpmYovzhJ80iOInp0kj+5BsNclOTaevXqvrLOL6qKgTH0LqSTCXKWov2DJPVubFWWDTGmoh6QctCzCTaay9a5s8rER0dP3ffc/niXw+uI2zb9rGxfeZOEiOS0tCacUfO9d3AmxCCU1kZLZ+YjksPdeDexJgmxjRt7TPTYh6sGHu8Nh++Yx4dysWiSlmPPIkkKVOiWa1WUBAmEEo8HecTFqpQBRNReRqrsluOQsnR335598LlI1e0xsrlK6uX4nAxv6fDKdkBJuqF6zFKqwMS5dnJ628cnwy2xo83TQN8j9jaYrEYjUZwJKJCPHTkKSUobsNw4y5wFBHUY4tzcXJuCLsDeaJYCTfGTBv7N56Sv/OMWYdCTBJjnKQPvMH86S91bxqFlCAq0cIiEEwmPmOUbRS1SAPVGNr0xWJxfHw8mUzYY7Rer02M3/Zo+d7z4X99JvzqC/Mosgry8zfTJ5adf/dq8Z5zm+qg19Zswq0garvy5aKcYj620SmJiKYbJRkyRWPa7bUNgPsnZTWqqPUho3hvnTXdW2uLwvb6TdE5Kcq1MYDOTEoGwV6IkpKxxqUoKdkUdkKw2KJ4BEvTvbkOTUxiolg3dPGh0vQKEdlA9Lxm+gCrlOmUjTPjm5mGYsf2er1HB6vv/bJP/v1PP/6pg2Hw7h+/XP6xK+OHuht3slwut7a2+v0+YEamBf1+n0QS/CITEZvpJjNFZtXTq1QTa0ugL9EI5EFnyCYFJoV5m6xlhSCnzQR+5XRG7rLpjE5Z5Vwxxr5J6Tz5b4FCScvOU2x0iASzW5xoiD2B+gFsE1EO3FiTDWoAL5RdTEH7eZLKgXptE7TKtMLxxEmhg4SBwo+enJzgslE+h1/EZRhVobPW/vNPVdfuWimKjvd/7i1ltZwhTWzbtqoqEIbBhkNZx+k8L94+AWfaEKx8v9/H3ETM3EiZhALeUBQFpHDKskQejH2FrKPX62Ej4cFhaGin04GQ1uviZfh6cB2h9/5dD5nr1/xet97zcbtjJZ2a8Be0HyBk43vcvdZju1fYrx6Xz07StYVEk9qm/exhs1/EJwahb5OIIPykLaZRYJzCTNHpgNx2Q13ZdByyls4UisQBo2N3nHP7L++cf/jI+2BdeviR+QvXBsvFPeUO0XPL2knSlnmj1cpWRes1h3tusRh4vwMXMh6Pp9Op1eomJGtFBOSRfr+vLJ7VdDpFXkiDwghXNOAlFOO0iRiBYVVVx8fH2IJopu73+/N18+PPu7/5GTlKHXFenEhs33fZ/JV32zfvSIxNVW2mgCLDblVAi3YtaJsXc1Csf9LWwzt37pCxnVSnSnPu0Inr777avGvg/pfn2ptLL72t/Sr93c/6//dW9e3nwqVx7/j4mCFkCGE2m8UYe4O7zk/q2jLEYQMljFRQ2meTDUhyqouB8AgfAbRFW8k8gL4npVR2Y39Q9ft1Ua7EvJo61Ku3RR3H0IntdttsudS5Obe3FmsxTkwoY3umG3f74OBYZqIkrJKVHpVc470npVYU6eVmK7TnvSzLTsd84A1P/0Rz5anJdtW6H7/Z/WMPy0COkN5xAAKamtkjizXBptra2gIg4ZwbDAbc6kggCCfAbmK1w+l+UAD4UcXGEKgRNREdDkWnCAfDCDJkChVGS2JJaxBe5fRgQ+ByjDKB818R9da4Zu7kRmeyS1Y0wWdpDbCqRkfZGFWxWK/XGAQRVToDd+eUHtlkMhFwja0q3cNzwAMNBgPIx+BZoE0FdqPb7U6n01ZZ4ghEKK6GRUCI/Mnj9K9vtWKtpPSHr4QLrm4ah18H9rNarVBWhIsdj8fEMwFpIOPkEuWG8c6dO4h95/O5Ub69V+FZXACwmeFw2O/3aZFa5U8RIwmn2QMMa16v14PrCGOMO6V87QXTNialDYuyVHFqozQzYphEF72y5xFlfFk3npuufvskzpIRKeYhfPzEXB7aR0dWJDF5txktm9E0tl2rPbP4daIESasv+K1aNURC1q6keIK7c3Pv3MUD56N16cqjixeeG6zXm1IW7hcnVjLV/JBV7Jgyem20F/ep1fxNKe1Cbwms6KIoMHeCFpmUUVH2F9aK/T2nsdxwXwJBi49aDqAV+PvVav2/Xw8/9hl3s+lK0ZWiFUnvOSM//E77zu0qhHBwcIrRR4OLjxttp2t1jEZuCJJWFEIIsBpB1fQBrzGwRSr58CB+35eVH190/8+Xze1FFBc+fRifnxbvO79619gzFoZa1WB00Bssrb03tZh1HUS+sMLmdP+MyRSKQYiAm0SKHFR4CJuw0+kYG61dDrdm3f7K+y8QybGusu6279xeN8VOGq9lcDK1Q9Oe60crYb2+B6E7VWomWM38FS9mhwS0abX5CLAJnXPemO949DP26cu/PTs/b7s/+Wz8I1d8t15LlszZrBsyKqNnOBxS+AMBDYZaBG2oYLwYlfjKbsWkuioum6qN5KPNqvIM0egaa50MlTKhYPrLNqOeWuW2MCBIKaHx1GvnPs8jrtMqgYAIJxguog6Y25uwp1ctNJ5rhKSABxEi0IIB8AR6CbEnq0S5+86diCCzRNGu1pbWGON0OsVhwTpD2Bo4ZI6cIZTHBLRerxd875/cCLFvpV69Y8982+NdUR1BekFk6ozXieUCFViv13CTIKwC5Y4qakMdmdzQ1ZnWB/Fwm+HqKaVut4v66Hw+H41GMcaTkxPE+lSU/MIO1Od6PbiOUERijIV3MdiQDZfBqoluPiQNKavVY+cNBgPmPbs9/1Wuvj6X56emliLZ4qXKHEfzxmHYdZvsLWhtGQ9VlEFDkDOoAl6O//Co0E3mManRImJKqa7s7Zs75y4dOxedT1ceW7xwbVCt73EUc4+Is1qo5jU8sde+DpyrlJLvPDuZPF7ogLFChylCyyMq2wLXRjsOppnJKiU0TKgr5JhtVL44MCg4jLquP7xf/+in7DOTJN5LacXYR/rVX3qb+wNXvRGpKmFSBRODL8THsZW5ngwvqqrCjNz8qkAERWQwHo8RIIOcBrsJN4kV+JoLxZfvtT/7gv2lW7FxnXW7/KkX5YXd4TeO7jizwcMHo6PR1tIpKcarsAXuCyc/ZbAYIhKr5WRuRTxr+FcEyMwCy7IZbd/25fJVFTFj6LbNoKkHkkprxZhgjEkSUoqo2xqTRKLzVae3NGZTrewWzZWdwys7h+u6aJaD+bys1442nRaQGRKRTz5Nws45nMvAPGQvfGdh4vseuyZPr357cf6g7v2zz8Y/dDn245r0DZexLRg+oj4NbwGzToYaYX80dIsG+EiJYEPpWXH9jU6pZTyXOxg5XZeiGytUdoTmEtsjxy2Daq3xRN9nW0wmCxy0zQBgO+MkLjX2ts+mIrfaxQGXwLIcdDBwBiFxHlUSCG6Sa8KQy6qwO1YJsCE5ZXhF1WMzSk2qdVAXE3HG6F7n2v+9Z4p96UqvODce/9l3tVaqqOFC0MahVgeFwp4cHR0h24PnE1VrwmYDOw856MnJSdBqLpM8q8WO8XicVKqQMTfWCus5nU5xHp1z0+mUnFiGIF+EY3mV14PrCIPKrOCZMcojJIJ1bFRCni7QZrr1XHdr7dVBONe3T0/t7dqKmHnT/taRXO6lN+961BC4yujlFNWaAabEp5WyTmrG14UOGGN5STI+wuYwr9zNl8aXHp5Yl3yRrjy6eP7ZQdtsYs/cF4p2L+DvOCTgDjCHCyFYO/eda0dHfmdnL2ofbl3X6HaISs2CZe/1ehhognIOokXUpRkFr3UEHXNQHEvRWRYhhJPg/6tPup97rpBmLbGWmM76+o+/qf6eN3a7RarWmxlMxILwBEXbCZCJ1tlw1xACyNNopWpVipBGDSUoJKa5yVuv15iTh0sFi2xY+g98affrr9b//afqm4dOTPmbL01vdN03Xmi322YwOur0TrzflEKdqhkA9sGCMCHmNhPt8xMRsJywPlTxYNbufBrtTPuDhbkP/0wutIO2HlVVt67ujV93zolsrKfJZqViK0ZJSzPv9VfnxkvnNl/YLZtueTLalqYqjg7Gy4VnTo+wAwYd+zaoVl/UCjTsfqNjyslIonuLqvzgve/H+C1v3G+eNp8+Ob9fp5++Jt9+tdnqd3kEFovFnTt3tre3AdN1u12kLAwiKx2Ltre3h50GwZHhcMj8CRx6Pkenc4adSizhBuECefzhDIKSJhjtWX15nZpilCJrTjcXeiXr3ntKKobO/4zK/AxaFWO3gFPaM9IUzkzAOyXTgQO9i5A7aFZbW1vwT8gvo2rlR5WvwllmHFxoLx32G0IWHNik0yfw5fS7SIWdlm/o5rHTfvmO+/CREy8m1H/894SebOJmLBpeOJii06MwN5F7hiEs5oCyuchkoiVBi9bgATXaHoOslBlFqxVor9RxGATGHxsWVZiHdHz3YFHX7y1eV5W1B3f6RErphRc/dTJ5njBj3HRbG+w8BFAInbB8ZVl6Xzg7Kv05Zy+mcKmpz0g6Y83Z1aIX27EJw3PlwLbDF+bDu+24dqMqrFfBnB84a+6FgValLpJi/aLVFDk9eyy3y3kUaTLtjNwGhdbN53a81Rgjzslo3E4nRYqn1PF5UJnj4jhFpTLSQ6SUnGuNqVfLHrtQmaEyU8zdNgo2ADGsClmRBEgYStSLr9dryJK1bduE9D991nzvh9MnD5IYEWMHhfmP35j+yrvdl+8mo+L0QbvCnc4gJXwNXAUPDpUSlEzgC4PSF/v9Pnwecyx6brguZIHgjrdtizoobAGi1DJUX31GFlX1wvFCJM3XzafurC7tHl/cvutV5IXPqNC5oGi6omljAMvNIJl8c6UTDDTrdeOd5UNnD8tOhXgmJYmhG9s9CQ+b9FgKe3VdtM09MX5ibnD/3FR4xHWUayfh1qK4c9K9frjd1J2et0XR0sU6H4fjVVGG1dJZWxBtznOjPLUlBgBPmVTCGJUbbBVub6MDrVwKD2/Pjmt3UA3nwdw4ah8dNaVzTtsouZheZe6JxcUYmQlZHeSSUlosFji52An0ECmrNeB135rzQTBHSQrZ0Qsip8SGYYKbP+7cwuDZiYKZtDNGe93oBXEj0+kUfh2OCmVyuH+jr1Yl4uirmLeJNhXs7OxwH0qmQRpUcBhfBco3Vo8MVdDC4YEK1SVH3IDTDXcVtFiIZlnki2AOO+fuhOKvfjy0sZZ69S0X5Q89sWmdoinDs8NP4xuQcoB3Q+EO3C/kQLGxQaPjJTHPxjCZsixxVI226hodRsG2rqTN0AcHBxDQ97427o7Y60XnlnUz7wZPPP7uz6OQ9wW8HtyMkIlwm6nr8qkT0zDGWNPr9897t1UWO9aMjHFN02DLcrhXXfexxN1u9/FR99Kw+Jkb9jdud13nbbuz2zfao/edv+Vlg2Uz+OKR4y7PzxIOSaE9Q1blSWlrapUeFtWzCCFUq/LGC3L56txYKTvx8tXl9c/2ktyDUpmNmdOzhRlgBq0bbzoZimNjbi4Wxfb2NhO4oPLwrbb14CTj9MYYUVnEd8In4UastbPZDJsSL5R5Pnrs//JHq2vHSYyIK4y33/5Y5wfeJv20iRnxWVK6JZs/hYoFFwemgaUCoxUUwDtbW1tG+TJIKeD8EEJWVQUlKhxIYwy8IBkERVGAJrCYz7/pofYRTyU4owAAIABJREFUKz/zbHMUm4e3D+f2zmcm8fGROLk3zwSLAyvDyg1DkKAaOpKlFIhnqZZSluVw3I627xbFvdyiWvea9SVnB+z1bJqK4ASTnlab6qxOfIQNPVg0L0/aVRKJIsaOnBul/nq21S5t2Vu6YlKUc6Cmw9G6P6hmJ+PZdCRKs+QJ8tnQ4EaHTQYdVRG0Bhx0qhwMKBxSVVXIA3ak/qarL4sPn7l9YT/0fvZm9V1PeGM2wqR0NtyQqCqBQA+BwxDC0dHRmTNn2DVIPI2DBSodyACkFMghrh/mHukRrzNp4AXPx9QwKgnIZk3A9nQbIh4lvWCh2m9wfkEFawqVCMffsUlwVQBI6KHpsHOog6fYq1AALpLrFpXbYpSjh/QRDgPxGaZmQtkOfNqUElpZIMiH09cqZxBVcOA6JFimlGAPgWeIdX/1KbMyXkJzZWi/+2p7dHQ0Go1wYVFb7HEcmFC2bYuhLlg3p/1IIjIcDmezGT4LL1hoyybIUISCEKDUdY1MhoBQ0ho29GiwhcpOqJv9/nhSli0AobreRK6vbxOhPMiOMGRYPJODrCKS+t2r1XocpWdtYVM56I0A/SFc8t4DZYattNZiPgNguqFNH3iDu3Qj/vSN+m679wu3L3366LHvfcPhbv+oae+0rSqaanmcITZj+ZQVV0xWY0+qW4Z92ejEV/wrNu5yUdx4aXDpytKY1B+ES4+sX7zWMVlHVNLeCewn1kUImvEQwhw4v29Tfz73QETh4dBKYXQgJz47nU65fWFukPq0OgJG9DwXKsl9exX/7qfMzz23TilKrCXGqzudH3rv+KsvYKLQAJ4Sn4XtwF1jfeixRDET2BqvomK4C1i0QsXHuQ0YOMMuQJW4UUlf3AWo5/gSBKfz+Rw1jEeHzXc/Xv2b45s7g1sS2kkdn1615wZ2q2PJm2fWQutmlcTbZBPXGIIglcHCdnvy0Lmjbu9e3BDaYjbZa+thURTdwaYnDAhhHsyxykg4FJbF+eLGPO4v2hSjSLImne+5s32JMW1gq3ocmq31oip7+53u3BixNm3tTvrDxdHBeDm/10GfskIvghJG/TFG+LmgEqlY4RynIqJlrT3TlW9++K5N9lN3zr+0TP/HC823X/Vl4YluIRwh+g1eEswxTp+IANvHuqEFbTAYgHPBJEwUikAGs7u7iyki8GRkA2EliboznYqqlMRDRJA2ZQpBKetOS5neYVK422uPBxcHVoWFQORqUaVtGhXha3W6AiPmoiiAdrTaNY+TiIIFAjjMLhYloALS7HQ67JoFskI0GHeKicrwbfjyxWIBPwpNHyAryO0kU8z4nz8TX7i7Fpe6bfWBh0MKm1YoYNrT6XQ6neLuIEYDPiqydmaBzA2wAltbWwwZS1XERqICRqhVIUZUSWGF8PjYNOy9r6pViJO6uZPMoS2WhUVJvnA6AhNPgfjZ6/V6cB1hyuagYjtuDraUVi6OeleaRrqdezyXoE0UeQaJHJwVOPJEEKO971E76rmffNGGlG7Enb9xbefPfalcHNfHkxfacLso9u+L2lImSYPTTnSLl82zwTBcTivXIEubTfytG90Ll1cisrXdnrtobr60cfM5Rpqyzhurg6RxkJihhg0n5Zo13fXaw/FvbW3BGAFAACCDsJSwO74B1yPKm0BYB+QqGvu/PS9/7ym7iLWkJCZuddx/8pbu+6/Ewi/qukefAcRmOp0CKUKLBTI/1kv4jGj1aNGMdokErSgQtTNKO/LeHx4eAq7BrAyknsjqQghIPuCSoa+G4tO4e/iNl2/sz8P+sk0xLUSen9uLyV3pbR5Tq+IgRTYAC4c2z6hEMbpmQ51Puw8tt/cqYpUx2cVkazkfp2TK0tL6A12A/XJK0sm5DNgnTdNEW7w4bedVI2JE0tDIxe2ybzeFqFZny4UQqio29YXlbDbcPizLRkSKsj138Wg5Lw9uj0JwNFXcfqxImWwGL9nOJA0RJ4DBikqwfKiMv++RQ1/GT7x4/um5+/mb8dseMaAoV1UFXJqmUDQYOjk56ejY+ul0eu7cObyN7zfGADuBNUTQQHxlPp8j72ExCW9AmpIUW2M9gntMVAwB1PGkMmlRCWJ0ul7bcwHxRa2LM2rBZmi1yYEk6qQ0GW7dRgeVpIyLhANltb0E+x/5WVEU8/nce39wcMAYi0cStBRWMfBP4CuwDSbGiLESrDXifre2toBnAjvBA0Kk9Zt3wr+6UYusZRG+642dx7c3Uj5YSYBD0KDx3h8fH+MYiggaQ/OgHG67LMvRaFQUBVoAQwiz2Ux0yKIxBiIMsH7gkWLzJ8XtrW3L7rJtj6p2GtMspYDRmfgG0dhIRKiSuFqtRqPRF+9l+HpwHSE6AXIvaGS733vMpJ0Q4tHRLITQ7XYR/CLPaDOCU0ppZ2cnxnsVYMk6kNADUNf1Vz3U7g16f/vTaW3Nfur+0KfSn39r59HxI01zab1eOvN8U15r24q4f9I+tqTgZ6PNT7CkVqX2EMamjGjKYwBreHyYur24s1eJyNnzTV3bg9sbKjZNWKvDS4mbJWUAsmfLbviTVfSfbNsvHY8uQPRhMBjABENlEXiLzaY+sbwKFIumH2H+Rw/tD3/SXTtuJRkx0aT0Bx4t/sI7OiPbwNZVKleWlDEECBfLUqscIrAvqwKSRrUIYP3h1FntSMo8xGrjeBNww9cCJiLGyzQa/bYpJaiJOudms5kvD4y7EULY9U3ZTwcLmYtPzt9oO5OJefM4xqbi1eIikeCKphFGxZ+sNq2mlEZb1ZnzS+c4t9IsZr35ZCcEKxJZxoeLJZQt2nUQdIQvYynv/XEtN6axCa2IFZNGLj4yLgsnMd4rSwNaxKuua2P6d2/6/mi2tTO1NolIf1hf7h8dH/aOD3ptu7G/IZOtKXROFj0Wk6SYNVPiZtc6cQnvudwJX3VhYoz77Wu7Tx777WL91Rc7CNTAa4gxnjlzBit2fHwsmYIuLuPk5GR3dxcZD7wgZoTB4iPnwKHOgXGEgEnJw+g8o2sU9WdG516Jlpr4F58JZxNKSToXEG6YUaaothT2EqswgA3I/CxVhp5fgm+mb849InY4QjfoOuHiIbHG3gNU+gFpYG8D9sfqLRaLyWSCX8+zTJTusEsHg8FoNDpz5ky32z06OlqtVqBho0tvnfw/+MQiLY7FFe86675ib9W2Bfg1sJ/gZ7bZrET8f0Qk6HDHqqJTHjqFeGSwM/w44HHoe5Czqvjt3LmqPwxB5iFMg1mklJLBct0bOphbPxbR4ZjT6XLvF/96cB1hq9ynFI21Z3vlVe/HEuVkMkFl1eo8a2w7bFBWpyANA+iv0fGhrcrWlSqCV9f1u0b+L233/tvfqk9iPanNDz0Z/7O3j9+10/b7/WE9nkwuVu1nq/oGw/ncKZJn4VTIijQBPDDA7jn1K2rp3lp795YtyzgYNSJy6eFqvSqX83vMIGZvooPxmP9hm8JgxXtknNb5p+eLcmt8FkETJ48jhqX0qKjkIDJjMlNw9m5Mm7/5bO//erGRCC/on9iOP/Dl7qsudKy1nU4fweByuVwsFrgMGCZR5wFDg6K90eF2TSYibDNKAswiFs3r7B4RiTGivQy3cHJyAkY+KhBYGZgPlJfwc8vlcjqdeu8nk0nROewN7lTVhj88LmVQ2ptN7zh6cX5eN0/ebs66auw3bR6idPyk3KUy0/KPG+nk9NC5xdbOkht1vSoPbw+bpvTeiCRAZwhmGSe12gYX9ZWUp5NSClFeXslxFQWBsIkXOvbMqANvhadcq2QXSDqEKLwvpsf9+aSzszcdjNdASvfOLMdb1d1bw8X83joznDKZ7nbQ9kdRX0gEBW9AuEMi5SO9tjpz6MLyYy9e+NV9e6GzurpVkFSC6BDG8dy5c7PZDMEQCl1gWOC3FosFmii4jeHhkHZAUaxRAU+sJJ4vvp8732RNU/ehKUgxnRKDyaYJp8c2BaVo0XUx6ME3sFQm2kgHV9e2LfHAVkdJJK2Lt0pwy8MspE24R+897BiqelBAhKFoT09+hgdFZxEcJ59Oq2MIS5V0ByKKYA7nBXsPNZEfe3K5f1xJbM/79O8/cs85gSkGCAffVuqkOYw2wxGAS8OaIFGBz4a8htUOIiwRHlPT1Cmtl6tlklXbzpt21jSzkBYhiqk6BPAR+1rtxDVZR3VQ2UssLxa/fL3nET64rFHn3Gee/sTkuJ1Nzrf1yPseqrWz2QykQWxBODxYK8REZVnu7e2hXojKU7fb9d4DJrXa88c6Vl3X53rmnWfsx+/GebIhyYcO7MjVT4wwz71bV8PQDqLMnIt0tDnimltz94phdU7brSSTekobwr3Mpn44arxPxsjWTpydeGBaVoWpeNr5W3SHONs8osDrkhxX61G3248qwB+Vc4QjCrwei2Z1nDQ8wXzd/KNn2h/4Tfn0USu2EGO2uvZPvrH+b947fGKvB2vCT0EelzZFtFWWKa9odosjDYfN7AowZquqxI32ftB4zedznOTZbHZ8fDydTnHkkCY6pbHhbMCmYMQSTqyxt7v9W40288LLdsviwrgsnTlZ1CmG2K5nVbWuY7cwhduQ8okQDodDHE7cVF3X1sW9swfD8aYi2Dbu4M7W8cEohE3zWaFyAU6n1lntS6MfIjSHZVy08uLSTVsrxooxQ28eHsjO4J5cEaGO/AtNxvD03scoi3lnMXedXus9EKc0HNcisl75lDZVNKPc43iab5myZvMi0+amm+SuFpGHOtJI1fPTW5PRnbV787Y4a1iYSEpJxf/iCDDloh4YPTpSJV5YoUp7eMH84fnm+x+4BV6gKea+EOEXIg/6+FbVUI32I8II5K7FOYdSAnwDfInVFlJWyyQr2pEHkLLWi6AyRrhfYwyMD9rPYazgt2ody4xSNygnzITKsqTMGIZoGq0UbLB0bZkIOpTbWgsBKQjzWh3AUlXVB2/UP/N8JdXaWPMfPCGXhxuqLYZUI/dl2C0igEmNCkuR6AA/hIvHPm+aKsYqxGUbJuvqbpSJmIMo+2JvRLleNddX1Yvrat/YeUwLY1rs3Khy5GzQInbCbMFpUxwBcxHZ2b78pjd+5evrCx/cjHC9XpfF2Wp9C4OLDw4OTKbpgDJ7obN2R6NRo413u7u72PF7e3tB5UhokREANk0D5BCo0XK53LX2P3+L/eGnqv11EWP4+58xB/PmOx8x3nv0fvp2x7rbYl/GOST2kseV5A4wvyG2E7O+XdGn7pxr23TjxdGVx6beR+fSI0+srz3TT2kT2NLwkdttdLoFrAM8PY1jCMH7tXWfreu3GnOvkzopXwPjqgeDQdDGcIai//r5+Y98LL04ayWJSDQxfOuj/vve0dt25dZoIJlYAer/+FrWRVDeb1Se32ozScpmODCG5WnP3XDQSjvjaESpyD6p8FtrixIWh+dTY4tUVZXY/e7gwBjHPI8OSVI649vOuH3hqJo3KwlxLmkV7F4vbvlNQ2qOGSC+qevauvWZ80e+2CSsi1nn+HDPGm9MQzQ7KmvOZjNJopaIOLSWEdL+Sl5edaIY8VFiPNcpLg+Cs5uvgrNndNyolnSRTTViVdUYU687Lz5nt3bqh84urUvGpL2zy06vvflSX7RoZ5XRl7QXra5r1HSNMtrxLHJoMamGpIg4kbfs+GVdvfvh537rpcu/fjj+2nMb44USjog89NBD2GaMLVhQwL5tVZQLuQilUqyKHOH/IKfE4yDCJpq4I6iCz5CsCSFqIdBkBGzRqiGRIX7Wqj6AVaIpPHerA0aARSMmgNmhVwbJJehcZYZ9uE2yQyEBUeukhVZnDsP/4Z/m83lKCXV959zW1haqDGCvMOm0OvKi1mGlQVst8YvwGfT3uPGDdfynn1xIE6XsfO2l8j1Xu+Bt4vqRL+KbwSdnZFPXC5FWTOsLE9u2jcH7VBTS6bi+r1eraSsr42KTrDFlTNEWwaTkUAVwHhCm1Sp11Aae3O3RMhBIZxBDhEk5kpvOJfe6TuWV18sRTiaTn/u5n4sxfuu3fuvu7u7r8p2lDlYVbVRH4Oa9Hw6HW1tbXtXter2e1UYiHFfvPd6QlAieVMoIWQsiGiAVrDKOnP0v3io/+hnz7MyK7/yL/d6ibv/DN0YAjE3ThDAy5qqRT62qG8zVrLLX2LdgMlFQfJBZf9C2IdzjZh+34eXrwyuPzaxNZSddeWx1/bmBNQ7uNuqQiiLrP8U34BdJRtDorDHlxBfXJDzRqHQcLgB1dfh1iAZYa4fD4YvT9seeir90y4kkCVEkPD423/f29O7zttMRYwomRq3OCStPz6e1Wj8TEcYBTpsEovLyYey4Ajaro3C7w5UiHURUzuPKuAfBOG4cwC9AvI06mn25Nzi0diPJkVT/nsh2CME26/PF+qiNkyDBmZDsnbVZunSmV/S7hdWWNSxpCKHbW+6eOTJ2U5k4PhhOjgfeWzFSqiI2fSEpNkT2iJIRygvGfnpip8GKsSKpa8yju8VeKSFsUj2ikdi0jCeMDgAKGQUU9gI3eHJkppPi4sPz/qAVkeGofuTxcOOFQV1v4hhSYfH9QVUj5PQQeaN0U/qnQhtLysI+tm3qNrznkZc//tKlt545v+tXOERI1r3OEsL3lNkQCQB9hAHxKafkTHwEDpXBFlz1zs5OreR+VLNSSlBa8KflZ0XHeuOCg1K02mxoH4+P1bGRDNqYeSDBSjoCFxePgjr3W9TiBWgB+CpgquzdQrSKSA6h0mg0gjMDjpXT7rBbMPyobVtA/agIJiW4onBea6sGFpDMMtQFJSNUV1X9D54OJyFJ2b8w6n7n4/fExK21MbZi1s6vjKmH/WTd3WgqcW1ZBBeqGAOJOXTz3nsxxtjU6SZT25QMAx2rOjiMhrHa3Hh44WhElXtMymaCfQDU19G5jK2K7Yk2HQFvf10cDV6vAzR6+/btd7zjHZPJ5Nq1a9///d///ve/H2MbX/n6XUGjTdNcv34dx5t7Gh4OLTI5MMJwqWka8JJ5sOGToI1EFBEmiYFJo3oH3qSv2At3VuZGLZLkuap4eS5v22oLx4lobjx6tGm6SWYimxzU6CuqwLHTkqEoyTOqorEoCSqP6FP01doPx7UxUpSp7MT5tGQ8iwUxWZchXjYb8CtZJ35KSWQpEupqw2inUSYKsXEzTfzxTyx+6Mn42VmSFEXSTll875fZv/jlxaXBRptjuVwWOmi7VQkMsL9wSUg1OjohBaANeSVM2qL2CdC7B315HedLCBFGEL+CABAZJ8woOehtNsgCVaWis9/tH3pt5hWdwsMtBJuO7+95MyptK74WK2Jq46fBGeeGpRVFvyWl3vBke+8IfWgx2Ts3x8dHm5ZhHnXmo8yDk84ED1kbYoyxacNxY16Y2Xn04r0kGffsW3fMdtcDmiu0pVqyoYbM+/lA819koO02aizp+NA5Z3r9VkScT1s7VWg7jfpCydoquLuctieZbFK0yZpZadRSSqPCTtsUYjwzmnxsf/C280OTEvD/VoldOHHwsug95+2wsZounPEETOE6G2oPryaqzI7gBlV/UV4uTwHh3FJVAlwm/CQqqU+eaquN4fg4LjioigJKKtzJ+F2SNZJySunGrLUnJycI43ANcJytTgUoimI4HFKxpdDB0WwhQPMDym8QvEaVrlaJY0QJ9OK19iPxYvCF2O347AfvNL+x34qUzqU/enWy2z1uw+358vmqud6Ea1GuF+WhdYfd3soXS+ersiPGhpRCvhWtji53SstI2sriVEVdsmoINxU9n1VqBWwFw2unHUqwBvx+/oUnHa5xZ/vyW9781a8vNPo6OMIf+ZEfKYrip37qp77jO77jqaee+tjHPvbN3/zNr/rO35UjBDACK9zr9RA97e3twVIYJUbDeiLmQuzslAgARAs7CeYPkRdth80qWMQbS+/evh2my/BC3RXjbqztU7Pyq8/bwmwq0iml0fChtt5pmta6hVM1d36zZENc8xQwqn6mVeEJ+s6UUtO4lEx/2IhItxuTxPWypOmRTJVbjd2ma4rQEF68DOdXYmJTbYqFOI1N06DSZoz5yM3qRz46/9CNdduusYG/5Yr9a1/p3nOu6HU7RqnSOIGgKrQZDdJo0QiT53AlgGvIdIDrEpVO/v+Ye5MYybLsSuze997/32Yzdw+POTMyKqtYRVaVisWpJZLoFsWFGi2htSI36pUICFqI1EJccCFAQFPgsjcitGtAXHElQIA2BUGAhAZJiUCpSiwONWZm5RAeHj7ZbPaHN2hx7F5/XqwuZXeFgLBFItLDw+zb//fd4dxzz0UerbWLXnCbrYYB5RV9Dvg4JJJwpsYYyKBrLhljhNZa0zTGfWTcKz2ZCMY6Jm+Fcw8ECR9dOHvUc45NEziSSWw2nrctVdb0CuMK0x+9GIxWuNTQufNPjrab29RHHwRONcKtBniWWhw26UN8se5ebu2rhrqYiIgTvTOmn5lwr7yFvmNG2VCzgRtCtztls3SFTEOSYOAa7DdrG0M5GHbMxEzDcWNM2u9KvXj9OP0uRsSjjUC7iivq49aDc9IzrxpmiuPe9cVu/GwyNMYoHIrGlcYYHDR04LQcSaLtYgUkT9I60uSJhGpLMvlKdNvyVCxUwRInLw26SVqtWAQPbqqCBIXs14SXR8jBDYH1pgwt10aAl5kKVKWIjjFGdOZa2eQOZ6V1NjwVBCvwHfGb4J3BwuHT2rbdbreXl5fgQ7QygwFXlqO1WlWjjwBOKcYccXJv2vZfnS0ejFefGX/4T56+93x6HtNV01417TzEvQ+3KAW+dRJsOf85chcYBj60zfaL5X4JT9lkqz0VOUuZYhHeJy9OkpDPNY7mAIAVAlq/359OHn/153/j0wSRT/96DYHw93//93/nd37ny1/+MhFZa//4j//4d3/3d3/sb/4bBUJjzHq9RuYOIwCYXsoeSJYNRIpOKAEkCcoPg3OySh72CnJ8KyrpiI44MOABpxR/4dQ44m9vDLGbd/yXN+WvPeShY3gi51xRlL4btI0zZlGUTpP0KMKnmr9rLMwzeid0dsp0vZu6NDb2+p6IhqPQtdTUhQKqin+SuLz8s/S/JFZlrXVub0z03UhbjHAEnyx2f/rd/f/yYbdpOmKiaN49Kv+7X6p+67PFsLRaGcCjKYfey2hakhW1qNJguIhhYMEhdCnNnSTqa2adEyLwE9DK0Z8H7RtHWptJYEUhhQdSpIBY27ar1dK4H7ryBgeMD1D2rUSIldXh8FNJRMCJyFpTmTiyqUvUBiKObYzzhtimB/c+rnqHvldT916dzXbboC0Z9RqwH/2+cKYaHY0xTRfON/GjlZ+31MZITGSqkePPHfHDvlGDxx+cCHDQXT0/dcqawOWlTBByHWfIRFPbth4Mh62xiZn6A9/r+XrfS+l2ZVIe7QqR5UPOQVkLJ8kWRpZmnjNcOHPdsOUQ+aZnBuNyWMtm87ZtMU2PmXHg22hAeiHrh2zfPQu1DReDR6Mx2wqRNW8uRqFfUbZB7M7Xl5oPnTbA7LBtVKhw7vpfZYTqDdekBBYF+omW0U62TGBipxHxXiJCCETkxjAfXJASiZERYn6/llXh8Axd163X66urK+SslKm1sWy4xVfAdWpXAtVtWTof5sNRzfac3cfv78+n/eVRb3V/Er5y4pzQ2qMIc3PW0VcYWd2UYqF5sqseQOOlJrjIVNQDK7Ef74BH3GZzhHqIcPEobPguK1AzGziB6eTJZ9/9ZT0vr+X1GnqEZ2dnjx8/xp+fPHny4sWLn/DLf/EXf/FHf/RH+POzZ89++7d/+yf8MkwKdZ4iFUg5g4zBrddr+KCUEjwREYFtrxAKCdkEvXcAEbB7pXiwNOHQ7WOi/+RpdzLkf/nJMJB5uW3+m2/0/6vPLz47Osg9oxzph8chjLvu78qSlbulrQ5NefDUO5GURDRF3peEroY/XL0aFEUcjlsievikblu73xaF6LR1MhSldSRyW9ifNvwVkXPO2fIqprDfvzMcjowx0fX+tw/rr3/cdMbTgCgVJ6X7x0/3/8GzeFqa/f7QqNMjUWTKthpgFIJTnBPpLSotQDdG9uOohpZSk2KM2mghAXnOz8/xPsiOFX3SPLppmvl8rqeXRLsgxnh1dVlUH7G9jvEWk8ENxyNmWXmD1KoTaZuY8X1Ky8+GvKjjVRubwLNZ+pm3zktZn7RcDW/Oh01zO1mRBHdVF4xWZSdiifjbNqbLPS1a7hIRBWJHRCNjT0bhwcAYiind7gbSPEMxAy2+SXy9onZB5kzsYeVFqWVoIeujQwjbDX/y4dH9x+v+oCGiwah9VF2/ejFrmqTTeBqQ0P0Nog6q6b85qMR1OF/GGFDqTwt32S/m+8gxnu2/M7PPDZ+iuEEbbzqdQqtW84Obm5vJZAJ2G94TQ65B9P8AvmnMQ/TSvhpOnxF2EtpFiLWYQwBZCSzTKCM9OLCaOMKrQoFMbQnMSU27VTVXnylwkUK2PDqZTURwxWxDJzNC6FzqNhU8U+TZOFkhhNVqxdKagXwajg9AESw2sbL8Erd0vV4H2ZOD69R+edvWruwSXcV4ReSbjonpxS5tgiHrnDVfnpkUw75t8gSOsiQ1yP44rf61Z6QFnM/WeufIh/YRfTY3gjdRfW3NJ3ADg6jeq/lZEQ9RLxozLA05N8lsTPGpRbcV3f1Jv/Mp3+snvDSdJMkuf8Iv7/f7m5sb/Pno6EgP8499W3SJ20xXCfkCtOrzSogkaUXKsF6vYeJ51RJkPXfMpIcrWYWF5oQxZjKZaNHwD0/8xFz9Dx9OdkwXbfNH3yr+82errxwfJvNgHG1bEX1x77/tiq4UYT3FGQChkJgIEeFTAJjgqCuNjYhi5Fdn4yfPFlUvMNPTt3cf/GDou9uFGzrX1cnqXYW54Ne8TLPqoELVW9S791frz3xz0f/fr/o3e0PlnEKwRP/uA/sfPYuzQeq69urqajabofYiIqXaGmOwEgw02sRlAAAgAElEQVQnthSxR5LdK0qOx0djrIIE3Nas04mmGtJ5BVrxb3G6lCPjZHsUwJAgw17r9dpnNO6U0n6/NcV7xq1jPPSxnDBuomDCiBxN0yDE4qbhE60wemBFR30elBR7zbtPrhn02cR/98Pxi6tqlDo2YVI6KyhilElw1BNBVhMcHk0y59u08iHGRMyUIrEduXgysidVcjZVxWH7QRL9IBbBKsW6nRBkcggBBwHOHT8B5NjJ4B1sKZNwLC/OZkf3tuPphpmKIjx+++bibLTd3O4LC0Ly0kcMM1afZYTRB7NH5LDWfqYf/npv25S2Ib5o3ntUNtvtEA8OSwPQ1yCilBKCIvj6KoMJM0BX7OTkBOaHkAzSR7/f3+/38/kcE3K4qqZpMMqNDAzXzMzYYJBElBi9ACJSkg6KErQnNbdA0ablmgY5gKIxExjzoqqoR0+bjkhHmBnXCb4CEkEkvgCoWlkVQEKkVNQHfGydag8iBmtlS5rmQHVdD4fDGGNKXa+/TTx33XmI0MU+hO06mRd+QAVTsp+ZxOFBeeIWZqBsmZ3CM0l2rkURFVKTTtLXjxn7XXMpI0I8lFG4YZ8Hhpo0QeJhJPfQv9eURR+ul4WsUdhV2vVHoqwu6NO88kbMv+71GgLho0ePLi4u8Ofz8/NHjx79hF/+zd/8zT/8wz/8NG+rPXDsm0Uqqm0SLd61bC9E+wdGZq3FSkKMzeFN4ChHoxHuvhNKdCfalUG2aiGAxRj/wUNz3Nv9i2/TVcNb5v/+O/TPHte//tR1XQcNvevr666zhfmFLn7XmGtNzEl2W+PxIy3V1NLJakC4Bso2N6XEly+PH7517Vy0Lr39zu7D98acLTvUyk/rHiTORKSloTJZYNardPPnn7R/dv3FVJU0PKL+4HPF4p8+ds/v9TSna5pmvV6jk49bgeQax7sQGTDFOmKMShBPQivANegEdJIJEzw7J3MUXaYA0sn6NGZGuzEJUUVpotpQoYMm0yH1aZo9ux+U5TaEBGBAb4t+BeQcJJJvnagG67VZmeuC8ZzM9tOTQ67WdvYb702XG0sUNyFQsOtoRqUZV+XYWqZkyiq4siOzalPdNE0bOp8iV5GLbe0TESUAoTxy1cMBj0syzACcSEaycqdDMgajiCXuKpI/hRny39fEy8jMaBCharhv5Fur+cy31ex0bjgakx48Wd9cheXNCDchZkOKSbpueKZW+sSKcNhsqswE//bY/mDBZMx5ne71X8yOH+429/AIMJwDaUNjjHLWNMAobZJlGxQzV1UFjUArei4ILS4TnoVURSe6oCgT9T4gLgLJ1IJmOBzCwJCDajDQSKDgJFJnJGHMDNiJRcvNSEOLhSFCRNhBAaYoMhJFYrUi1LISNxD+AamthhM8MnzKcDhEwq1BF4/DOVcUFOmi686NXSXJVPIAw9a9v3LRe3LVydA8n9xWaer9SFAHFjTYZutR9edanznhsVvp5rC0tE22w4sEwwBQp1irAssxa5fo9WirGE4yZU0fJExAX0nC5+tljb6GQPgbv/EbX/va137rt36LiL72ta99yhbg/+cL378RteIQwnQ6HQ6HSqBSzTCSLjosBlpcRNTr9aA63QnVPgi9Qk8LM2viHDL2ijEGcsAppS+cFP/tL6Y/+oZ/ue08F//j+/tFoH/63OChDgaD5XK53zdd97iojHHnScg4+laFbInDxWifuRCdTHhqIMDM3HV8/mL2+K25MansxUdv715+PNKDpKgRChotcToZsDWZehOXg48be9MWg978S9Pv/M3q5x6Oyv/0Z4dfnvYXi0WMEbASsmAgM6gFNUn03n/88cfwIFYIqCTJrKZaSk+AA8JjMsJe08iNssnL3mr8EysK97gDnYyEkuB+qD8Q7/ERzOxDa4rvVWbHbDXnsKK314oUSyErnDTntUIoNUJvIUEUxtPteCZRsClefjIdeQo2tU1sjSNmcsUm2U3rXnpD7CgMyRXkWwqeukTJEBmylsiScxQ9xTAq6EHPjMtkDGvfBdfGIq2urEIS0DVJ90U1P0nII5prqz9SFxZlaoWIgD+jyw4LWa/Kuj45fTQvCs9MJ6e7oqDri3EQhVXkWJ2oVShJwVqrOkHaj9f++rRIs8ItmhiZ3l+aL917NRjF0D31snFXAeSTkxNI4SPNRa1vZSsywuTJyQlJsHEZYwiRr5Dp+xgjtKqRwmqBDhVT3DQjc4FR9nMFYWeoBwcmgXUHMZtELMsSTRPI2lkRTMEf4LiVuolnh1sEJ95m4ovwVPiCtazu0mwMxx9sUuCrLIQGEk1abSsWhe31N2wvQlwoBqOOCy9Ywgcb3nREhas4/tyIQkj6V52swuhEfDg3IRgPAmQnA7gIw9B1gnPQjJOFMqa3zkj3TnEjjZ2adZGQ5zth1bGISpLALU5e+I617ArFLXotUUZfryEQ/t7v/d4v/dIvYfzzT/7kT/78z//8p39PEidFROAgTSYT0K+99xjs002YeoC9bJLE7dNF2PCwSE6RkcHKAS7hLhdFoToXbdtCAnEymcD63x7xP/9q+MNvho/Wnqrh//zhfhGqf/bZejToZQGbQvek6xzbHxpzy5IiKdT07HnRdI6ygD5KW6ITJZTQVecvho+ebphpNO6OT7eX5wO9OUH6BDgJnWzYcSJTm1IKiV+u2kVI0fXJEjn3fHL1y08++LV3fqVfWiI7mUzgJpAl5Iguy3YetFrhDpDXA4wKd9mwhaxlAaTTCSWvzJb7YBYCrtnLts8kvRMigv/V8igKozqlBKKdcgqMMSE2rvw+hW2Mh2ahos1AuZMQCOFBOtn0ZDJOihPlEXzWcLyaHM3xt01dvHpx5LtUmXi/ouBSk3hDtg7GG0vGkjFU9sgwhZZiouiJiJiILZmSKFEKs8o+6NuRQxHvzF0FKZIWY8h28cCXGeFYcbat1wilizJISt+ERDNM26vaVsEXRwwIvrw8u398et0bNEQ0me2MjVfnU+9/lCOqRTmekY4NeBmb01sXvH9ShV3rWjabmF7szbPRTbBd9O+2ssYWYaOqKoheRmF7lbKPggRpRx9O8zkjymSokCjblAkU12cDDMAhFNJX+qKOLSJW4XvhTUDy0roHdyzJxB5CHUwXZqzuJQmECDBWS2rccHyKcw4kZ0CvhzlXaXohR4GyB1TlVquVkS1F8Cr4Rt574pbNBaebFCMn1tw9iuaDupGU0o77Z4GpJAr+3aNkU4jR/Aj8CAPTpJxlAVkSkq2RZZxGBmkok8y1oi1sZMDfSKvbZEMRWhBHURox2UR1JywQnxHxYsaaLkWktJNpQn1SryPI3L5eQyB8/vz5N77xjT/90z+NMX79619/9913f/r3JFkYCxy81+tBSga5PAxFi25MFJlsPqwsS6zATrKSsCiK4XCo6LwRZRa8ORwiYBASZwTvjFO03W6Peuaff7X4F9/svnXdENn/41XY7MN/9vmuKgwRnZycgPRP4TTGioofOHe76oXu0sdhvnDW2mvM7Rj/bfbDq4vu9EFDRCenbdfaxU2liZjPqDFJhqBRbxlXLFte1HFPhihS9GyKp6Pi2Sj13KvN5ut29IvGHFAIuEvnnIK0KL+8DO7g9Haip6ppnUZ3Kx1v7z1uAou+qGJZ4HkCBsQsv5MRZisSdMYYfBa2nGsu34iuKepXZibeOffdullqywrPTv1jEBFwPTOtbDOP2XpngGBwYYPxcjI7RMF6X7z8eBpj0qLBWjtwPHFsLG8TLTryZG3sKHZEoUgxUVcU3CusKwyF2lkeFKY0MKcD/5DEj+AGakltRAndSMMG1x+zGXwSwleetmvcQjBwMtdoMqkUJEa5dXlPr14en5zOoRU3GtfOppcvJsy3qJRChcrLcMLRNdJT17SJiEpDj3r+w70jNi82/rhyQ7t07jscPo8+H77g5eWldnCR4gC7xtfBRYJghVlhtRCtROUrHPY0mUwjsBWRWAQbZHKYaY7C4K1k37IiQCQsMKS/OFDaT4H3wBsWmdwJQp1yRGO2ziLJ0Cr+lSZ/rbwUDEAObUUDEjLlaqhYKLbb7Zr2yhaXxDfGGjaW6FDMqfF0onJ1MOyi+v6yR84QpUeT+PY0IJdVR5QDtpr4OpnUJBkZjCJhmkNB2lmI0iBvRSVOgSU8Ds4kbTWIalh1GQVSH0HK5PvVsLU80KJfz8JrfL0eZZlnz579wR/8wWt5q/yFwIZ5Cd2Mxczgj+l8NxHBX0PHCFWLFuBIG1GaAPQLInqEWrtpmslkguSRZKLIibogDi1S1IKb//rny3/5rf2/elnTpvl6bV5s+L/46vRpv++9n81muIyuK9u2DPR90EVZxucRgxFf812Uetp/BOKoqmqznJbVYjpriejB431T2/3udlu6GjHJHHGMcdnR3tPWVGQKSpESjVx8Z9odD2zpyhBCk85WWxpUXyE6OF9Ue6PRqJZl8SDasEjsw+J1jsKI0jecgnZElOeWpA+qTlAJingW4EkpdkREuncb2GYraiNIdXG7cGzY3rB5r653JJkpvJuenCCDBFYGLpXL4GVNsZV5DORV49lyPF3C6va78vyTifeJ6I4cMP7WGp5yOuklY7yaB44rMxvDKXmylFLkmIwrNR1O2T7CKMwpkg1Z+HPIpuI0DuU5tfZBo9CGtbGX/5qaRF7eqf9FAXT+YnjPm9nxjoh6g+bRW4tXn0yNqZTchAAQYwQSgHNRyy4R7fIaoXHd69ubNq6TjZHfW6QvHXPolmX5N03z3Pvj3W43Go1CprHgZCWyXhuKM92xTESgvCGiNLIDEpaJPZfaN4JdMbPq0UTR7dOUAhnt4TkK4wapBqKgEzFeeB4gmapq5GUdB5ovKhyjaZ8qHCkVAH8LqReQcTR5RQgsZCJwuVwa6eyUZbler0NoQ7qI9KLsN4oHsHA1icgJM1zxWBjM367NxhNZMzL0lRNOnfcZvYDvUkYpGwTUH2oRj5PL0qTHNQSZzdXiUiu/IhNKZJl9cpnWfBC2fxCtXZKGohdWOa7KCU8H22a0Ulfc/rWEGH29uaLbRDSfz9u2xYSpJtROKGEpm4CBdWrVrDwrJB1a+hQyTteKkE8U8NrKwKYT7T7kLPqMiajX66UYv3pqm46/f7GhGDZ1/LOXoePiCydlVTgEDGNM16V6P0q0MqbTTEcjos2EGPSgqi1SJiJjrVstzGDUuSIy03jSbVal97dtCbrVX6Z9squaFx11TESJKI2q6q2xeTI0peXcI/uwjnGT4lEIh5ktLwtukrD4KOsDRaFgOFmtkAu9gmUDf0Ey1eBkwxlSfmstsg1MHxvhzaZMfCdkY/v4W4TSm5sbvJVzdjJbkPmw61pNgbWgJyKk8Dh+OpQWYwQtPght2MnkMu7ecHwzkii425YvPx6ndGDn51FQj2jKBjqD7kaWCSq8btNzGTszAmxqGFNsFn8gockkodVF2U/pRIYDb+XcrSS3Olb9b5GtTsTX1+vMO2REtN04ItMfYh9hHIya3bokuu07akDND4s+LxKUEieLmScVz/cpELWdjzEObWzb2tibtgldW+lyAyuiu7h1IIAEEdyKolCv5UgSbq0XpTSYnNIylZmJLBniLIVsstV8S78+oH7gol7WLJNUYyml5XK5Wq2AVaKG0xuID0Vmhoeip96JuJpCIOi2zOdzLV47melCKgY6zHK5RHfw6urKWruvb3b1d235QUxXxgQ1PyM6/vqAimx5Gerdi7Z8b3sQcP/FExrwbeNTM7AoPNW8NuWM1oBrU/RbbVLfJz+2muSprbLg9nnmpzkZfhgzXUD1z+qEdchV7YREEI6Zj2ZvfemLv54ft5/+9UYHwqurKzg1WIwW761IIzYiL4vlk3mmjHzNZMxSxfFwW8HeDqJvmVIajUYqkIhUESmnFZq16rr97BFP+sW3LxufYuzq7zeDr5/V94p4XB1shYhipK4ZJ1oac+gcaD85j0lqJZq1caYm45xjNpuVG04aa5MxNBx3m2XP+4O9lmUZYlx3VNdh2aaWLbGhmEbOnPbMo36qzC3zQs9PjJFNHeLCd6O6vlWZAoVP10rA8nDmc1lFTdDQIGllazYzTyaTyWSiMRJRCkQAmy0WT8K40cCwXq+XyyUeKEk9t9vtLi4uDqt5evb49CrxpReZN/W/JKNFuBgWxjk+ReVpNPZo9UAplYPz4USi4KZ8+WJMdFtgsYhcaOxJojNCwi9wGVtVs2ydXSHpEBeipoGvhj8jHucQtxqG1riaC5Mgb3oHNBpZ4ddp9NLsWx0KS4taEy9jTFOX3vNgBDpuGo6b/bZK6XDlapPqvNQyS5FZUYsiIkOpcGbRGYpp29QDmzj6tm1dsUnUdu2wlO0liq0lGS0gqeoQCFUrKmZTtkgOUCAG0QsMmRwauicsApX5E2SZZVLlh8vLS5SVoMNoVw8N6bZtsRRQn2xKCTkZ7gk2BY7HYzgNa+1qtULKBdeBa8NwoYIcSZBeTX1ubm5g+VdXV9Y1bD9M/EHV897fTlFbUVoJ2cB7PhWGe7gn982FiVyQoedDftprlalOAnvq4dKzk1uX4kB6G3HlueBObq4ksY2y9RE2Y3pH0QbS/yZZ06ZpX5DBa1yeVsks7QM1PBzk4eD+z3/l37evVXf7zQ2EIQRM5o7HYzQMYAc6EaFuCCbLQvgELgrSdimCvEYYevnZvnfvHqihmtAh4dKZbpstBWW+Q/n73En1M6PmvKuuWqZ6v7HDv/xks/Dls35n6dBjS4m6dmLd2hV3NBTUbvIy18pUAGXbmqRe5O3WjqctM1mXqn5YL4sQYiLaRbuszSpwGyKRIeZRYY765qiIPXeryqYfql8kxmitT3zZ1KapWdM95JggE8HcMc6cFzEg+2lTBM8CiUXu9JFUsqiEeNH1R2QFs0ZZppvNBrCVthu32+319TV27Va9MD16wWaHJ9iIirreK/y+ylsoHRcpPKKgXhLCM6VUjc6HIp+23ZQXZ7MYb5GiJDU3Eg7KlD81RSURANPM1xgDP2IzCRjcE/w3SdNFU9oofCLK5Bnx7OAOFKsPGYOGBPXVZqr+FR6cVnJqe4WMrlKWa3dt1dR2OGqZydg0mjT1vvT+1vubbLGRhuooPWnOwPyUUpH8rqOWXErcBn9UHky6KFvrtilMq6qPCkyp3SSuGae7kn3X4EYBkCSJZGgeR4EWgW/jsIcQ8GRVhAgvTbaICIpFXdctFgt9cwRdGC2YKcj84D0KmcsC8o+G+mg0Uk0rVKW6Alf3JiahxXXZkj+UqjHG4XDYdd1qtYIU/np9Xg3Oq/7LlLZFcVjbWYjOvhEWd8gENIKMLfEhQLm/vLF1KinRuExfKDdNU+N2qXUpV0WjO+58EnQBT1lDrCL/XbY5AE7AZA14/V+SOKd/pSdF20CUIUB63rXYNZmcch4FkVKgd+O76ktf/PXB4JY8+NO/3txAaIwBXI4BHZsRjTSD0NRDy3Ndaq8apE4250WhqBHRaDRCjaLZaCFKS0GabXlrykgDA2YBMz0aVF+ZNNPCfrKsa47E9qOb+q8v277pnk5KyXe4qYdsV0VxRy7ZiLq0ycbmzF0FZ8riVtdyWzNUucsyGsuXq3KzTzeeWmMpJTI0TGHUN8cVj3oF822ip17SyUZc/ayydGyuicN+VzhXoODDOFTKKK/w7OqLEczUBSM1hjPSRguMPkjrO8nKYpLBapxweBAIKupzx6csFgtswXblcjj5pKqMZqbATk22/AjOCK4Bda1+cSXi3q0zfH/yqj84RMHNqnr1YpLS7eJAzVGMIFoaX43Mq+U4D176O3rnAf0BS+AMMtKcN8g8jGYtxhj8E5Ioi7ChBIGUoUZBXvqU9V9puCJZK0GyDMTJ/jzcmbaxTV0Oxw32+o4nTb03Ta1C8+RknFnN1WeL60zWpLTWDmxcBhdt0SbTK8y0J3KdZWJzE+PImB4mJWpZS7vb7RDDFAJNsgTKynAwgkoQSSCtwsG61GiB+6ZopxO6lhdlPoSumIHPJDuqWChUakUIDF5mWJNIdmBIA2ki1gSu1+soXVUFdUmcPm4gHDoAEiI6jJGEeaT3it5ZURzoCLBeK2PN+Dr6oPFNlTrUiSrW387jVUMUfRF2Xx7sTPSIZElQzSBy5CabrYwCR1tRZxwMBjqMGGUdpuZ2t3FX7J8EO01CDLQyeKqYRO76tLzLa0qFQNSMo2AeGv71f62Z/oNf+ccgHr6u15sbCHEjtIkCvF5FjJLAmySjJ1GUFwaDwdHRUVVVSraGa0MVYkRWGH1HlpFBnCsr+2PxuWqv2mROQh9HeGib5nHPf/V+sd61Z/uCqNvy4Fs3/mzDz/p+UEHnOux3/aLaGnMneypE2ljjDX6iJX+8y/Wv90yUsFunP/DznblaM8VEhvtMk56ZVKlnb1dZagVAmcwxIkHK2qtFURizdcWma/pF0ddETHUOiQgVuRX2SisbVoPQzZGC4HGwtGn1e7HI16kPAqMPyKoKQiI2wO5RIHrfFdX5cHzp3EHLVDFYBR6T7CL3sgNSdTJJFGUVwKRD5ykMxue9wRq/s171bi5mkDojWXFAEsaMkNwKkSYhKUM1ThwycvkUFjhOsweUkjZbb6uFlMJoeBlhEOBuBGGXUCZGqu+g76P5fp7yw5NqsLSyGVgTcyOtBGtt2/B+WwzHrTGJmUaT1rfOdwciq9a+mp+pUyOZ31BzLSw7NqtUkSvrjk8HXNjDx7GJKV14X1Dqd6IuhKsCCcLKOiGFPb0Mh+gxd9IARrzB52p7T9265sFIIwCb51DhaDTSaNrr9cD2CrKTHd+oklVf+u1msxmm+9GnRP8PZhxlwFexK4wn4lHifTQX3Gw2+/pi3/5NSB9a2yomiX5NEjBTGzea1mgxrY/VWnu+Dd9fJUqBfPPZQTtkn08ZJulq69PPTTRlfRMjk5dKFGBp8+s7qPGnDGZXpNdkhM+YgfxaQSpZRnuQej1RoDs4GXxQfsTwC9PJk1/71f/49RJH39xAyMywS6AN2kCyQh9XxnyUviCmlOCR1Z6QnhhpZRtjJpOJ1nxaiplsnRARlbIb2gsNHe4VmKHK3SKHdcl/aUbvDNOLVdzUNRW9iyb+1arXL+lR31pDXRfbetDr79gcsiErY8vpLqnhR4BvtYPGx6Xniytb9sOoH4jodNbdrAqqaVDRaZ9LikYaBgg8OCelyF6ziFiqH8xLN+auKBfGDFPqIe1F2AB3GVg08vdWREZwZ4jIGKPDKmq1QfQqcSDh15LglkYYEDFGrJXXdA8nf7/fd35f9j7o9ddW9izepoSC56iX18EY7ULp+7OIXMgxDqPpRW+wwR1eL/qL6xMctB+pq2w+HlCWCHLwiSQNFco4mT8S6kjoHvpv9bFqXZUnxSwIh3oZI30gzfptttJSg1mRzWXnyYf2NWFslBVwhYh6K/RqjGka2qzccNxam5hpOO58y21T5KWqpvb6bpRlDOpk+462XWoTB2NCpHt9o97TWuOKVQih3hfeH5YHab6rdxV5Ks64JqxFUYzHY70tVigeiGdeBAujtNBQZQLICTKsiaoLpguQQENX0zTgreghIsGWk1CikMMBCAVBD6kY8gwl4DDzYS9YUeDyWlnS2zRN2523/u+a7v0Y92rJLNpAUUbuSAbqoyBeKWuua4a09/FvblIIkbrmtPAPiy4/C/kNVChI41nMmsdG4P0oW2Ki0Cw0Qde5piCDniS1nRG+jFafmj9ZmbAKskRTZxa1EZADJHjpvEqe3xRFMR49/He+/I/euH2En/71b0qWWSwWaFyDB6G260QNBAK1MErYvfIStYBTlC/JGk+SMsJK3x5pqWbQOZqn5JGyLLHsF0C/rqGABTRNM0r7X3pYdpQ+2aUUqU3uOxv3f91UH+58R44i93hclCtrb9UT1JRT1uPJnWlMtOzCok4XLe0jtz5eLorTWVeViZnun4RQl9ZHQIRBWtCcoWHh7iqckLWpczwkpZQoEl8bGw3PYkzj8VjzZcWR9BiklDBwkkT0yAhgCEcAEikodkixO9kmky/dBf4JfKkVNdHtdsPmuux/aGytzouyaS09xpq6aqgAJE4ZW4SltWmMYabJ0ZVGwdW8v16ehHBHBEvDuca2ShbHaJoSMvZ2HnvorvqrOveUMTxTSr5jSsfWTItiZszAmFFKRYolk0vRxcjGFM4ayDLgMoJwIoywQ0kQkSQjm7ePUvD8vI0apCVjBB732YQy3rPraLVww7G3LjHTYNRGz3V9q1lspGmqj9tI990IgYKZU4oVh3lLlNK29X3qSnsACWEwrthZt97vXAy3+3j1zJKMnOtTcDITpU9TbzK+JvB5xeL0r7xMnbPw0ZxMpOA9nXCd4Ge0BwmvjR9iBAsT7vhNFI541hBjAshvpMjWHidqR9z8/X5HZm7ce5HO2naTF0x5zWQEsdSQw9l8s/7+AVKK6e9u0j4mCnHk6N1hILrFKtSeWeZ9U1b/IUhH6RkFmW+OGcaugYpFVTWIaLjGP/3WlG0dN4L/62FsRSIxR78KWWmithFleAPvHERNgkV8vCqPf/Xf+yfutbJGX+d7vd5XSmmz2aj+tZOZdyQCXja5AKAHrRSaakDhOtm96b3HYBA8GgnvFCUgCcipZoe4uFqtiEgBPchDIASqBRTZ6hZ8RNd1/+Fp85WR+59e8Mt9S7bfGPN+uvf+fEv7MA307Pgzv/rO+zMXy3RYVqc5UQihC7ENXSpsItd4s27qvU8hMCXC1lxirnz47gejn//C2rlYuPjs+e6DHwxiuPXjuUtyMgqCWxoyiqyTVddO9D9xZsryh73eajz4FWPMZDJZLpdgDeAdFD9BwR1F6LzrunzLmv4abo6XvfbWWpWQhafAS3eNNk3DZt0fXiTaaONHcWlN9uPtbPitK9cyES4+T0sl5bSj6aUioqvFYDmfpXSAE9TXawZdyNoKZcoEofjre8ammjMAACAASURBVCapcTkDl/AU4GLSrbBfampXFg84jis3JAHJR0cjKErvm31XB2XYRu+Lsk10lfgyhAZPBxaLagkWW8qOTJ+pbXkRDMK1dSKURZJyaRLWyso3mIExxnv30fujt97ZVP3ATCcPNmzScj60Mnjgsl3kuOH69VlEs6qqKmI3NWbZebLu5c4Mi8h3t0SVVTs9/mi9nNa7I/i4+XwOEB7qMyajcuCr4ZTFTEfQiEieyl+AN0dEbduCbQfvCSuFALeGFqhNOZE51FIJrlk5WU7051qRWNMhwhBCr9eDakwSLTTFqIKQjNq27cKlq85c0RBR1x1iFWdUXs6aLyoGpMavjy+IGD3O48ebuPGJUrQpvt1LlIgleTUZAyUJVzNlCESQmT9lawfR/9TEjgSKVw+ZZEq4k0U0WmEr8KCYLd4BqQBnKEWQbZ1RtBo6WXSq6TUJw05PlhERaW0Gv67XmxsISaTRYPree6jMROnfwhydc8PhsCzL8XiM4TYAF2D9KlJfliXWGaqdee8BvCRZkASLxKomK5KVpayjhNShdm5w5quqms1myldESH7EzX/5heLPXrb/z9q89BUlR7aiarrczr91XX7QvPvLD98/Mk2/SiaENqXOM7Vcd8mHQMzkmExJxlAqiRqiRJys4T6HcWFcSiaZs49Gb72zZpPKKrz9fP/R+yOiW28Oc8T5TxnBgQRSU1eSVwm453VdN83Luv5fx8Mvd93nC9kpCjfEzKDVdV2nUxZXV1d6pGOMqMhBx+1k1j5lYow4PxBaQ+0oBVljiouqt4lyTpwwfqOoZeYsDyIC8IVMM8qmES3X8jrPGB5OrnrCjlkv+subGRET3aJDlAHILFQLrYFI3ITCNYgBlPXM1NGoC3C2b+1Jvet5PzJcdEWBXC3ItDWiFEiP+DMe33A4IiLvJ9E/revz3f7jolw7x3kATjJfrP+bpPLrZCseCUIbZZ0QNGiCsE7UwTlhTXvPH70/evp82x94Zjq5v2VD68UkB+7y/iUzV1WFMwXni4GE+0W790Ub2g3bizo96N2KyYVD29WOp/P+YL/fPt7tLDasERFk3/FwsbwCzx3AD2VUQxa0IGVrg7CrCN4ZEhyY5YeFLBYLnGII8ccYoSOIM64GhsE+pT0jjQYcqgtSYHVt20KVu5BlQ+CbGGO22+1+v9s3LxN/5FxT2Mr7H12boBiVPjuEDcU/FNjEhZUihU9E8zqdbYmip+QfVbEylvnABlB4sxC5KJMphquj0BKQszk/EuTfyAAlSzeqkxVmXhZKsMAnKjYEsE0rOX06LtOR0VDHQk9lEZTHz4MsE2XBt5SwU8l+5tf4eqMDIb4zyj7Yd1VVKvyK0wK0UzfX46gjCjIz+nyIZIvFQt/Zye7QIIztsix13avCcfggqGvCtTXZHiw8tqIojo+PYXmQttnv96Hb/aNHvX/4sN0nOqPi24v++zfpZZzQfrPe9L9x8e4vPvj+pvaUiGKkECgZYkcmUAwUOkqGqCDjiOLI0oD9yBER8Afnva/37tXZ6OHTNRH1B/7x2/vzT0YKm+AIAcbRgS0SNQ1NyjjTaL4DWzlX1zvv/+99/WHp3u7a8XR6ZIzZbDaKdSibIMmUrh4VLzw3fVsS2TYiSrKqhogwd2WtTdTa4mVRzq01euc56/MrFYKkY6+9hE70pXBOwt1dSJrYDic3/aFEwVXv5mrGTN53miDn4TZlGwEVMjJZz4MzcX39uf6tMYZS1danXD4ozXHTdDGEtqlDaIGwgXmoYjoxxtFoNJ1OlRPLzPDmuJj9ttptH8V46orNYLgfjBpjDuIMmn3jq2mKAAdnpB2I0KvJtRY9muj4TOoBP/no/cFbz/eDYUdEx/e2ztH8aoL30UiGZ41T4GQXvAbUwtBplV40hpiu9va0T6U1IQR1ZNJZbMvqo7Z+kFLfe5/vm3XOKQ9TCutbSMAYg0eghCNdQO+FeY/iEkkzZvDVhuEu5vN5ECqmMQZpHNaHwR6QLgO9B1AEGMPJSAw0VPH1h8OhFf7IbrdNdDmcvmqaeYzRGKuluSKThWjvodzUNFHNSQ0Yh5qzxYE+8vvzRMlTChPnZxXBAehZTlnbTyeg1DxU38AIN9Bka43zCKdtlCj0V8qSPy/8YZetPwvCUAXYk6Q1gE/PoR2t9kgasbjzSfpZLG1j/US9Ra/x9eYGQtxiCMwbkTfUGwqHNZ1Oe73ebDabzWYkFeRms0lCZyKBN1GUoAQhOYEqFAQ+CAt52spYBQ5YFCU9kuYisCknTPTpdKryfZvN5vj4+PLycrFYFEVRVeFn+/Qrnx07N37/In3zrHnvpr5cFd98+ZlfePy+5UjEFCMlT8aUHEtm4si27VfcK8q+syVx2x6yQu12hBBWy6KsRsenGyIaT5rw0F5fDGEoMZsZcMLbpmzymsSbq8kqUJOyZlIIr9rixnC13b1jzeOUHIbliQgZCUmo0IpKe+wkW6oLkTHTuTG9mQgZxC/K6tJYyktVPfacbfKkv0dRSdkOa43oVuYftJV4fG8zmui8YO/61dRa02XqiySUSz3ALtsRQVkerTdQXTll4uPOOWbb1qecHvd6gxQJil8wJCtLsjabDUa/4V7xboPB4OTkBLwwJQoqIhJjTIl9N1ktJm1dDoZNb3Ad4lr9l2b06uy0xMQjULq5ahM6mWvMcT8j3OmUzCc/HD15ezMcd0Q0mW2Z0+L6yAjbIk8OmmwNZ45bTou49LzxqU3ph/PwmdlBHgXRKG8qF+MrSo0Pn6nr0Ww2Y6EIAQ4F4Im8FgILLG0kXAmIdQAYtIMI1ncI4eLiAvcQiawIFbn1eo3AicIay220MxdjRAvAiKwEchdY/mg0AlkG/xBBFDbZNHXTvmD3CcWN97cqoJpkkKhlKjCDF3yR1mSAo/LQouGt8+F7i1CHROxGlp6Ni8KylxGRJIiukdaalVlYGLnaQBBVMzVsEsa+9jhi1rSzMrGGgtuLYgMMAL+P7IRFSEth0ihaJbn/SdlaOnXslME5ismRbHXVcvw1vt7cQIgzsFwuiWg0Gm02m1JWGSCYQduz3+8fHR3ByMD4wpEA3KR0MuClsBJ9f+ec5pKQnIb1IJFsRRO2EyF2+AuWdSR4HzQhHj58iFFZay0kg1NKyBwRG8bj8eNJOXPjX5jGtvNX3XBO7zyefewSO+qTb9mbGA7SmilFprrv2DkXQgKIT9kUBAzo+rJyRZzMdkQ0O955b1fzPs6SlaGlJMQwI2MASabmTcYApIydHzMtD++9MXHXfI/5vcI+3GyfD/r3SNJV5TQm6Y5AqkPrDHguTSw464J0XburP3S9T5hRhJFiXJqownlplpo7FCNtD5Qj2jVBwtSJRHhK6eT+bjQ9RMHdpnd1PlNHo8aGD9JcR0OLyQZdtALTQKh4KQkwa/hB7J6Mh+OUkkpAaMwgEftHaxn2PJvNMCZbySaasiwXi8VisQiyrLWQzVPyWbTb9g1/fjjeRPqI+Y6cBwkiivvWiapZkp6xk61y0DfHfWPpLAZpa+Gtzj4eP3yyHk87IhpPd2zizcURbpciXZyBWkptjbLB4H5Jm44ppaXnZRNG7gC1GaEj6mZBNhtj/3a33xbF56vqIKwYZTUrcty8hEVKobFwtVopD8AIUQjBr5bVgCyzPSklREEcrlJ0SuHc4Rx02D/JHkGNfMyMkKk0JTxNH9rN9v0ufJzSnmRqUy0/jwpG1geyiLAgPiVp4hrBnxUmjcK3IqLzOm2CISJD6Z2T3qhgdYxRun34ZSdC4SScTyUEqRkrXp2yoUNNkYN0gvAdFRVXR6o4Cg6IVrFGNEX1xIWM+aJVjc3Em7SE1aTfijAQ3HXKtt7/W4aWH/d6cwMhCWFMVQEBkwKcQQpWluVkMoH14JzoRvvhcPgjFUMpQpqazgA7stbudjvUOl6UJqJQtw9aBt7rf5OsIsPvhLu9axaIPIk+Wdd1QGU187IhPKjS/TQcmLeq/ichmLZNLaeObtfToLrV0hauMGVtavzO5fnQWj8ct0R0crqJ3qxXh7yPM+EPziCRIFyPJOIsao7xLnHLSEvVOWcMJb6ou0sy90fDz/XdsX7lEAJATnVq8LBg8ZEwLIiIKLXdom0vm+5qX18UVRdj9D7kTAE9Y3rlnYiDaEwikb4MMuGHLo7CYiS0guPT3Xh60Fneb3s3lyfOHcgslBEmcey15oN52Ew+rZORVpJUPUn3hUDQjcPSfa5re9w7aIKEEMbjMZ6UjtxgjBJ9TbT9NYQAhYPTRDscqjp4dpPJBCUIxAdijJvN1phpv/9VW7xIfEHZoD0JDK45nNaLVjaA63PRKTEtVvTO4A8vPxnGuJsetUQ0GteGF9cXRzmqZrIFdfpDgOcppZL8xJlVa4nixSoOjjBc2ykOQVDxPewVapN9b7VdTPgrVfWARFgD9/z6+hrPRWVf8NwhvCC91SEAniQEIlUsSilNp9PcyQ4GA3RMMS8IT4JGCV64MMxuQWIUjAQn9BmAscPhcLuds31F5iKERmNMFNhT3b1aspKok6CLSJL0IOCYh0ylxYrW47xNL7eJOBHz07EZFwdGqMkGQ3WYhwVZ9UIw1EhPRFpvpR83EdFmO0a0ntY8JmZrKLxImBoZ1OYMtFdXnDJqVZRZOCMdHA2ZKcM/9bipTYaM0/C6Xm9uINTUG907nAcd5sOcnzFmPp8DfSKiEAKwe93jHAUrdyKVFIXbFmPExD0eNowS/gtU1clkovmXJinWWnBZx+Nx27a4DFyJlXnVzWaDsLparcqyxDHe7/cYtpvNZpeXl8i+d5sh82nVv2JZEY5sy4u4cH4Bagoa2PCTq1cz6256fc+cTh+uQjzZbVyer0XhsFG2caaSneya8OblTshk4GGyimg17aUPN9YMnH1szcjaXuc7osNQM26m5vjGmKJwxu5bvzJm7eOi6/be+853RLcyCHq1WnVpmqkeXLMfBYi8rGLPR8E6WRPTtu3sZHd0IlFw17+6ODZs9E4aEb7R7w5vhVHRlG2F1YOnZXTIpNKLYsjxbTL3KJmiIFWerGTBlgJcyJmWyyU+DiwhwEHaYIPEvDoCL1q7ROScww4WFIve++vr69lsNhq9k+g48QeJOnWaJFVRzLbQ5Y8bYUP5FNphzXOCIHSYi5dDYp7OGiIajPbE6friRO8ebpoXDRHNtJQB8aCMXUj7VGyIL3b+tGfyr4xnTZnopQ832/r/ZPPWePgF7ys6cLgOo6gYcoVDb5oG2GkQ4gYzn56eItWA3whZv7zLhncrWcPpRCdaxxN14QayWKWJKuiq2Ya1ls0upO9GujGJk0/dXY0kjRla+VGWxilVUk+ZhgefaccEGT9n5n3rXyx8YkuUpiU/HTmSrhvJ9lbKOtYpGzGCJSShemIuKD8RScYhKJuJsn9vZpeklNRsWENglEVd6l703UjKPkUUvMy6wIpSJn6kLtEIfSzGaAyXFVsXXm85SG9yICRxQEoBhawREYGviJUoqqWk2L3mwlEGMK1sMQQtjYUkojmglZkqpGmFDCnqo03SxUU1ud/vV6sVCIqIKzpR7mVT7ttvv312doaJXa1p8PtAevGl0uooxG1RrpCWovDVpEwb0Rr5NDBE6cN1XXz1Yvbo7XlZBjbp/uP52Q9nKTkFOqxINpDkxbi9AOjgGvCTQrQoNT3Ed1ceeXYe1j58XwsIW6VBaUbcC8GEYA2XIRbEidK6jWtrqSiKJHrjCskiGVckLQlxkbLuJgoLIkLurwgP8K780Gqxi28xPdqfnB6iYFP3rl4dUUJDNiqCpGEjySofFq3adLcq5YxEGm6FNzl0p1XxGVdUhSw2yRFUfV4azPCVcz6tzSTEUDjC343HY5iWl4VNOiHQ7/cvLi7g3BeLxX6/H4/Hzv2cLa4jf1iWUQD2hIRAXT8Lfx2PAG+OfEsRSL674i7JqP7V+ThFMzveE9FgWJtH19fnJ3BnyhZRyATPVMOGYz7q/L5pyVQ3TZiWRF2HFEGTDM5k+YqiIEp1e+bjRa96yOZpUQygyoamHapnHEZ8HB4oLkOLiRgjeisIJCQdsiRq7Bh8SpmoG3KRGCMmpkBfgoIMyXJBCWldb9AU5aUPNzDsrotqyXBNKdtZpmVokj0YSteMdwcKYTBdtgZZp2N9iN9bhE0kojAy/O6YFYWGkRgBnEkSizaT6oYNWBECVPNGZKIMHNK7mrISFmdWn2zMBj9IQiwOEQxbc51OFgriKeCYaDc3yXiGBj8iIg7G1r2yY27Ytsa01gZjOuKYTAFC708VXe6+3txAiLsMvigzA+qkjPxCmXgmUETIsOI4eZF9UseqlDM8j05kvXJpzShMnJQSYOgfQUS9LOXCBRARUkvUK7iAqqqAgJ2enmp+rXstlMunR2W/eexmkWipmbUethBuYUOS/C7GWwY2/FfXxbOPxm89X1kbrQkPny4/+XCa0p3qJ6//SHAYIw1qTVpxl+BAFbex2dYxIw1zNd9CFDgxNXvI4xznl63xRmv0KAtytShUp++Ewh4z8lgpe/h0GD9kQm5BZgDwBSez7cn9w9R8U/euXt0jcUnxLvqnrkpJQDAefBxlOYf2UXAHfDdq9o/Go1NrnQ62a2qsGRJ8/WazwdQE3B9mSzTh4GxcHY0AlNSlLAVTj4k52pRSv9//+OOPkQVieqcsy35/OBp91ZUvmF9o4YILsBmtVItgTcZxWBAytTjW2EAylnD1akDEhxWGvfr+4+uXn8zIH1hR+rhxkwFnadZ/MixWPmx85617ufNvDW6L0SgQt2ZFWlwSUYjX1i6SGfT6j2KYGGN0BVhKCeANBnxVJl6zNzQmorQzUYaCJ5Kky7BYLHD34FjxC0E2KIEds1qtoqiSppS6bu/KZTW8MqaBZRIRPLuXuT2SLp2XXaR5DIYZaHLcifQji35Q3u3TfNRa+4MVbYIlkzjFpzPrTEIuG6Xxph1BfbKaFaWUVHPOCIVKS0nOdCFgCXrk87+N0qDBO8CbaSVH2WpfPen4msYSUbLWW2tibIrSj4uO0p5NMDYaDmwCm8gcjIlsPLaB/tiXsc3rlZWhNzkQsrSj0XwCjAm7AaaEAhHVPZ6QRsckcidJAC7FwTQCkRC38g4BTEptlwRDR6wFJqPThG3bQj8FbwhEJQnXw3s/mUxWqxUiLmSFrSwi0AAJ69+unvSGe2NaZU+hLR9kOR/dJS6SqGhqctC19uyj0dNnazapKP3DJ6sXH06YbxF/3ASNLiYbS9eczssUBGfD/iRcfM70ALV00BxWISAFpaO0i/A1cSCjaEzoxdgfN6KHd9OiXOVDVcLKZ2L2SWBSvNVospqdaBSsbi5ODRsyh+arVtJ51oy3csKiLEWPjaXPmqeu1lqKT+v9qYL2OPxYho63nUwm8DsYl6yqarlcwmhHo1EU7FRzc1ivzmUzMwwbreiqqnT4ZDabNU2DAYyzszOMBOjf9vt95z7bKx62/F1rV3hqRkYhNX/Kv07KNqLAA5pMiihK0wFmc3neT5GP7m2JqCjrh09vLs6OUzqgu5rDaU6gaWKM8eGI3lvHlMImmHXbjUvSZhV+JwlXHqcDYR53ryh2ib5r7TCFx01T9Pt9ZHIQ8yQiTE8ZY9q2nc/nxhiI5eIGapsjShcc+QGCMSIrAAa1fBDrrLXwP845Il9Uq+HkOqZ5CD5Gxq4SWCMKL03sjEDouOEaCGPWp7Ay7ZMyKgNn40NR+iPwYx+vwvUuEBmy7tnEHVVJe35JBu0114RZAnjQQpCyXTc4CziJuEgjOzqc4xAb58gk74rQdnWkUFRsLTFH4mhsopSYkrEUU2JOzEh5CW/GBuEzokGJv309r+QM3Q77v67XmxsINTIBBolCZe6yRXROtNZwGCA0qkA8IhbeQc8bSRFDdwWEWtkWBpeEpe0s+wv1HwK8isLnJiJMaxARvJWTXd6ws9FoNJ/PfbZCT4vX7XY7nU5RfabU6/zPuPI7xngcpNFoBPQvZOO3RoQY8BU6kYeGH9/v8uHC7uGT7auzUUq3US0vK0mKA7rLjGhkRU4hwpUmI5fGbPe3E00vLV5/5J21x6YHEr2KVoSwUzblQlkWiT8j4GlcJCIk6ZRFTfxD3GoErenRenp80I6p9+X1xYlho3C3+lkthaMgnxqzC1E4tBmlVl+Fq5J/l+nEuaCZeNd1YN6nlNDI1GILn9uJmg8cn3Pu6OiIiMqyHAwG+Cc3NzcKYaGUwQIypIMk0Wu32w0GA8Chp6enuHvoWw8Gg9VqNR6PJ5Pjfu9X17u/CeHDvBxU89Nb4WWiS2GDIDQ/J5tgtbLBZ11d9FLio3sbZirL9sGTq8uzk64zOCZ6ToPwAxHJYoxj7o67dF17YrNoU996LbO0LPZCZIuCp5VliTl651xMa7bf69KL5fqd0j2QOicB5AQzgCQxSjLUWGSKvppZIhFRjZ4Y49HREeoMaOrinefzubVpON4ZO3fF1vuu7UjNHi8tr3GT8bZ5PMPBD9KK5gxvzyMlKkvt5uLIFKI0dl3HF7tE7IjMg6F9a2x+rHPwWadWM3sr3d/8+KcUjPFVvzXcGhus9a6I1nbGBWPip/TS//+9UipSKGKsUipicG3DITiKlXXF6MHPh7uiBD/9680NhArNG5GkU1ZYyhai5gAaWtz9fh/apBq9UNUpeKL1IsuEDQlDFcQWtA3QzlH9FBxvLYlwMlVUzHsPOgz8nW5Qm0wm4/EYZcFutzs6OiqKYj6f4xiguYLTst9zXT8veu8pCoGDAaBG9bq0T4ZzguMKLr61drM2V6/ivQdbIhpN6q7lm6uRejoFWjnrx6gnitluFPgOFMr4/STzhUrl0N838qJsAZC6JJxAzUzbTMvRiUYPSfGR7nLqcLdROWkFDP+iIB4LJ5uIZieryexQC+53xdWrE0qc+MAj98JTAAClfHr9jkZkLQvRYIwy8iUYT0HxC5QG+3qPn6s5dV0H9iAoi0pJwISPJgqo5FCOkMgOoFmiDhq6X7jPUVpWXqSUIBXW6/XAHZvNZnD3yBKccxg0GgwGg+qLhT3a7P/a+1bLbtRMLNREk3F/tKbX3lsSMQq1fDypm6secXF0smBOReEfPLm6fHkvpcOu9nR3LBphCWfwbdM0LW2C3ySzCMVJcUtj0YqwlbXbRKRKZjFG3T8Xwqrr/mrHxppx1T+q0jSGCukIKN/OufV6zcwKoEWZ8WXpAePO69XCe3gZrxyPx02zXa7PBuOrRIuiwBYRW9d7FijeylSoHg0jC3I52wqpE7QwGA2EerSRpuOqYJwwfs5A7H0wH20tUaSUxmV81vd1HdXsrfC2KJudQEarJz2l5Fzo9buq3xVlWxTe2PAT4MfX/krJMHGMJhGlyDHaGJmSI7IxmEQFJUvJMTljyhBsSrfcUc7GpXxoFovF389Qf8rXmxsINc0vRCJIfRa2QsONdrIVD/mgFigIGCEE0FhwRNVArcwb4YSgZNF/hbhCRN57iDwl6eUkYdxVVTUajXCigmwUSilNp1MUcyRDpvfv34cgBdzfaDS6d+8eAjx4QBDUHwwGIZy0dW2LHyqKq5+ojTo9q1HaWkFW8OD3l/NBUYbpUU1ER/f2xObmckCZnHdeCGp40P9NAodqvAmy2VVzditz0CYjMWtfgbJ8WXEbn5FZ9GRqiNVyU1HfIFQdhCWlPyjIo4c/Hti8Znq0GE0PUXC3LS9fHllriYkEg9JakwRYVrsywu20snc0CY6qSHvww9J+MSQTY4DnAr0eMAD8Dr7pfD7Hm7BIlSoTFQkBrAVtSE3bSWjAwPGsSPLnX5mIME6O2ElE/X7/5OQEoj9Yjx5jRKY1HA6tfct3bhf/qut2Vjq7nKkmad2vhSNuVNvexk6WqZU2EyZdL3qcTmb3rpmTdeH+46vF9aMUS/W8MC1cTxB5s9LZ0yltFkQp3dR+aKjPCXwoWJRyNdVKtVsGehrluzvMIqW5tZbYzFdDWk4Ldy+GnrVOQUIvKykwI4hHj/OryATO2n6/CnHT+VUImxDXPs5dCZpJEDDet7Kl3d1VmINXKYpCjySydv0nmsKqweuEsZMNX1Hab9qhONR2ZD9ex5AipTgq3LtDqve3+8hMNhSraQcuJlGoKt/rt66oy6o19lNXUYlD5Bg5Bo6RE7EhR+RSMilxCMwJ9YAlsmwMk2GG4F9MxJSS72Lb+RSIjLWmMMbmcFGUponW6Cajp8Lu9JAmGWgJMmWUhEP0Gl9vbiAsimIymQDCVp+IFst0OrXZxLfPRli6rstnbHXBqYodaP2nvSs0EmDWpayss7JFrxNFU8UWVKFD522JSOVvlsslJo2898jy+v3+fr9/+fKlYiO9Xg9FAyqk9Xo9Ho+RNbftaejqSB+zkMfQlcxhuiCLCPJSj4TSZoyZX01ckYajhoiOTrYpxfnVKDdE/QPcn1LOkkwWIlHA/VFGkhfakebsuBKAOWjjKWTRiv6ntRa1F14K06mv1CvRQKLv45wDOZ5FRpkzGbA8BZ4dz4eTA0d0u+ldvpw6V7Ag25TJ8JM0j0M2NaGUVFiFl/1N6AQbYzg95PiOT2ztoe7B4VRtLTUwnQQwor6P39eI28ianiAiD060qXAZJLwDlh6qtRZ5no7Mwn0AAplMJpiH2263EAxj5svLS3sYVz8N4Rdj+FYIS70JnDUO+e7uCJsRo/BCsES0aLMtVE09Wl4X0+NXbKKxYXZ6trx+6LsByVg9CZuXszr+JITL0mzaFKy7qsPT4a1akw6Z4KYhtdIMIN2VtMadwekgopT23p833feJnOHZZjdids6WxrrkS1c44mhNwcamyIPBuG13ibYh1ombZruJm21Kt1+N7spS44xoDqoW2IrWFQpBBEIFElDEKwoKY8A50jLRiAaelnfaYjhgQta9v6SdD8Q8tO6dEfnucLLM3xtyYGbiUFV12a+LsimKn0Q5Y3LoHAAAIABJREFUIaIYbIxFDC4E17XcdbZruW2pa29/By4IVYQyj/CJKd7q/GkCHQ/SlRQjZNxT4M7a21FmPRSUdffzOifIWI7kuFa9AT4FfLGf8L3+LV5vbiDEazKZRNkSUpblaDTCKBV+0mQbq6PILGl7QyfMdE5Ay0G9uSw6QE6m1EHV6/f76/Uair3qoInIe79eryE+C1eoJSOa7UVRICiS2Giv13v69Gld19fX10aaMScnJ9vtVksrQDrwyJvNQ1vu2/ZCSwovE+IaITAI6DJpjyDTSERkrb06n/Gj+WDYEtHxvT0Tza/HnOEkGuQUotSAYYUbpvCpkb3t2vjpZA6MRe0F/lfrbO3LgnSgiTALOQUhqpS9H5QVnUE0ohQQJiIdlogZx8d7n1I4ub8cjCQKrnrXl0dlebvDRT1aXtHmMVWnp202lRyE2meMNel5197r9QpF0pTnAsIhESl1Fu0lfIoKtUcZT0YZDThBeYMY+0GoQ8vQZ6ylmOkG5HUD/gq250QQLsYIbb+maS4vL09PT621zg1s+2WiH5riXIGWeBfTRjWpbohlsbPGQu1T6kRaURRdO1jePJkcvzAmGo6zk5frxeNm31P/6IQZi68PZPj5uPvOPHRkN7G8rpuTHltZz6kJrv7bdLu+I6qJsgxZdyIhpEA3UUu0w6WyLYwpuhidcewoMceUjDNd4mgCEYVIzrhEWv/f6l5GWQwewm0zWAs7zRKCCLgk6S57YYdGmQgi4eUh59a+nRUNPyTZ+m6UaUx/e542MVBRuhQej5JJIYorMLKePsbIJgwHvj/YVb09/Wt4JCkZ31W+6wXf911JsUx0oDV12XIlYwxz0rwQpg6slbKEUitRrU2V+6rvqac+ZDqOep818ZLLu2UqdDJvZmRnLxAv9J6wUPa1xBd9vbmBkAXiV8uAWIlGpij9G7hamBfuOzJoEpsOwq3A35LU1yHbcsLMIKYWsnwHEm4Yy1W3a7MtmpivQDN/MBi4jPQvNf6BhlNV1f3797GoyAkJW/+JkWEPIgJctt88Kvu7ELYhBKSZSlUFIyMJ089lO3G0GoOZXr26d3L/+lAX3tsTp5vLcRRmGklrQb2h1gqUKfxSFmVxndr9ykJRQqcTd0MvEnhUEkiTBDJV55ujQHpb8ImF6GKQqKYh9UHVG6UBw5yOTxeD0Q5ffLOuLs8nOMb6HTnbLIHDmSe2hajS6HHNaw7DJYXP+zguigPTCpi8lrOlKOKD8LLb7UBvGQwGk8lECzugf/h9qJrlIV8v1cr8DOxcczU0jZTCA2dKwkVUUlKMESqdy+USpntxcYFUsihK6p47e0TF+ykFn61KNjLPh1iikECMtzxbTbzgMfHD7iBr3l9cPZmenFkbmNPk6GzDp9vNsBAtNCdD/ST4+aC0jyfuw7UnW177OArBuVu+aMqWdGriCG+QJ68kpZuefcrmPimb1VGelM/Y4JqxeaHcwI/D6esMAGVLx3D9Or6WlykI1drH9bIFzAmhLA82Ws0oGMjZvniWqdmU0g+XYd1GIkspPB1R3xy4uyybt8uKq149GO6qfv33eZQpcfSubSvfVSH0Qtc3xuqh9tETpSC7BzRsW+kWl7KcXEO+NmjUS6RsAIMyqUIWML8T7VBFpEImfWBkdYm6ryi9KvUD2qdQ5A8t8E8VRT71680NhAhm+khws/Q5BZFpV/AhyGgLflnrgJjRNdV/JeGVaWWAOx5kx5sR7DTGCOleTerbOzrIh9SplZ2TpYhvWWuXy6U61vF4fP/+/bOzM/BRxY8f5qY7EUeu63oymYQQtqsng/EH1nUKEBERjCYn/ukrR1eSDL9fvTomuh6OWiI6OqmZ+erVEKk3ywIBk5FcNBlXHBj3RyWO4BRUEZGzRg5KClytyxa4UJbA5jHJZxNXRoSeKRtwZCnE1VWxQJ1wPTHF43uXvcEeBrNa9i9fjpipLAu9PySpvZGWFd2qY9+il5RNjGhiRGngu8/FUFgbVNKI7urP4fqRqEKACs/65OSkE2WcJJv/sHfCCg0KFo7WVxLGE7JdvHSoEaK1mhSDRA26MgplOCxc1Ww2CyEgS6vrGvJG4OzEWA3692v/LeZNypA9EqlMPG7K5snUKjQSA1/RlJ+Zi6I3v3w8u/fSOU+URrPLxHG7Gml6oWZAAgY+sfGmK9dtjLZ32bXD6gAYFnelufIIamWgRY92brFWOuh6/SbrgOZ/FUUEQPE3vCHyIS80WgV19Ycskuvaw8a1warxjILw14AGxaztrUgpEaG+14Omto1vgft2sUkXdSI2lOKjXhhxbJrDP+/1ueqv+8NdWWUgJhERpURtW9a7Xr0rQ1fFdBjncM4RYc6BWfAAeDMvA6M4C7BzlpEhoAv6vSijp2qYDzKIolkdXKgeGc5AZs0jnRDsSaYPY0ZgVresRz4JkwCDs683Fr7RG+rBi3Oy7gTxgzP+CCb5NNSBawfOZxCyfsjEsunumisFRYtMfc3cbT6T8AiQQmqeq79DstQJfwZeCozLWovF65RhCEFGrTlL4RC6UMUWh4natNsWRbVMKagz1WxOX/jn6mvydBiWtNv2XdH+v+S9SY8lZ3YleL/BzN78fIhgBBkkkykVMyu71NVQCYUGCo3edG+10lorJbQUoI3WAvQDtNBeO/0E/QGtJUiF6u4qlcQclEwyJvdwf/Mz+4ZenHePXw8GKWZmVCkA2YIIuj+3Z8P33eHcc89tuywio3Fyvuy3p2F4Nq3EDkc+R7eE9TqoCpR8ZUFX04PIyJEUCa/EpajDUW0WK6YZwxvAU8wwv6wK2qLhs7Ds5OX88vlocpI1uL0ev3g6wS1wkYjSVpnWiMIDuEd4iKAcK3og51zJS1d+0LZTXg8ri2SOAFAFkKBtMLVtWwxFAchJnACfhK0hGpxzRrSHgl/QxjvaIKK1QWsqXdddXFy0Kn/sdfpx0zQUSYGnpFPnSm6aRqTpmielrpy7Y3W+tuzFlKCwWXBEnWbAxSYa6YfQbW7bbnwIoYhIN9pVkf44kvsMjqBjPWqty8692LvifF+qK2nW+nIfmXQK/FStJEXt6OCb5TPHP7jq8GZxL/39sT6MgZwpluNPuLrwdfjzpA0kzFq4wnmFXjmrg2lExiXh57wGvFObI9IRetPPd9vLT3ZOnIjUyzY/HiFALJPZ8cGj9fnlajQ5hHiP/NIfuttXk6vny9162R86J12twmiAt28TehQ+RTVf0BvGlLdqHkawjdEJDjb2MC6kKcM9wiCzghOMCDg2QqszU7NpqsYeFFNuwMFnHvzyf/2N//Pt9tS/uxlhVSUXLtZBhY+zyiNRrVFUZYYUD7mvG4sjqdpv0WIhMzOGfoNOUUASUJUBwWWBOIUuDVfLHAgsUIQ54/F4sVigdwLeEYRSmCpgU7b+l1KCTDPO3zTNMPhm9GOREwhpMy0GX2KkW0QpM8XUgV58eSb1ZrY45YUi9cXTyWBmRFiWLCws7ijpjDr7Fgg2Bh2YwF+BOQmGEe4X/4iqF+W/oqNRlJbJXSoGIIWJF0P1PMEj0Z0/eNGNTl7w1cvxy+cTvhcx+tFFC0swZ85M327uBHEKjcUJ/RsWXr7XtiPcEe4UGuJBVT+Q22EZ4GOllMlkMp/PMZQO8GYpBRVlbxBIxuAYcuKcgztk24bTsebIVLAmHz58CMsFZ/no0aPr62tc82azgagVztOrchhwVEYh/WmgSvT1N1z9byH8PCn7rqiAMlMZQiz08UkJw9G0DSBMyTl73zz7+eXD96+7US8i8+VNiGn16kG5L+yC3o8YYzcMH8/kRyuR0L5MadbnTkN/rwqZokQV/Hez2VBaIamQEBN6UXowS5s0+v5+TZqLDWaBMSUhTYIQVZUB8C4IurwWbnJLFsPv4P9WQ3jO9/UZ6Ll5wTHGbfY/3frqvNQyC/lxm1M6Li/288U2Nq91+Ln+MNptR4f9RGpTSmmbkzA3Fz93U1FFKqYEolJTzAVpPWjxsgqq4TO4BeiYe60IMi4PKgseVc2f3p1Wmo8uqZ6RKD9fFAqK2hrHD1dFX3ASMhbf1vHuOkLn3GazERWAzjmjoaoqaw4lDdhWbg8ipSyq8Q2JCMOTql3hXpk1WQkaSDRFBAQWMfPqmP2w6lBNURDXg+UFIl9UkhjuaD6fAwcr2vkAYRpcJ8JDzBl2zj148ODFixdl92A47EP7cwLCCI64qYg8iHZGeu36MrfZPvtiUWU9X4BHevTOvXw+E0XAqoo7w1a2KmYWlYWEy2McTUCDeSECXuqDeC0B0h1mQwwLqjvltCkez5ZJkoh4f+oX5usjBhDCcPnotm1PT/Xq+fjqxTiE09tvjOIrfSGDdD75qAe3sUYew/EwC/JpaBs07SH2mkwmXgtX2IcwFl3XMTaqtU6nUyxFhKu4nqKFN2ZFwC1xU2jbcAZrbVRE0KnsNarjeNedzoJH44SIbDYbTEGpil2XUmazmfcevxqGAZYLHMtT6jl8UnJ17idwM0517AgD4vESucJjFKMlXVWrr9xNL0Fl+no0PojIZLqJMb16+aBqcy1qjfhvCOHRKD3f101fs2+fHfYfTe8iGG+q+957dFYAyqOuNCEHpxOG7b0kVQ+uykXkyypKxolGkYMQNL+0atmYSblTcL7oyAUxhTExZTPrX23kSoeEC453sm0nBs0+ly83ZfBRfJi58unZYTq7nUz398VZ3HE/2mxGw3EqNeJrfDDcURG5r6fPSBRXW42Ij9P+UYY7cn+GF3YN8kUECtgpWZllXhsoiZdiv+ORMnRuVWiUSz1pV1VRnm01iha0P84gYW3bXl5eEjR6W8e7C43WWqFK5RToYJQxDANga68dgWCUsM2oKCxeDZ4jOtoNb4LpOZwlPQ0hCyJyYnKU1yBEMe6Q6A3CdkZGgE04mwnUHjRNY9mBSYh6DBJK9jyJSErjnPfO7xqd0hAM5dUZkMcCmNzJjY4evH3lu1FtuyQio3FqYh36aYyNv1+6e23l0dM7pbQErafCSTCZo/+jVeJjscF1VYwuGP6016oDDr3xRMcg2rHetNsnH68QF9cqL56Nrl/cCQDhxuGz6VCLVu+96ZdH0saosyp/YbcZ+/q90ehUnMYPLy8vAXR3XYfeGC4neCA8h9lstlgsIAeKFRJ0jABDMSC9to8bFmQ0Go3HY6rSJKVlEejz3mPu5qADj1CVQRt4NcVy6gVS2wzLnmxPUVxxuwk5O3E3tqDlTZGmUfm3ZKQvucD40IpqlzRNk1LZrEdNW9p2EJEQ03iy222aWiPD/6DEkGEYFo1cHWpxvhffVBnH00LyOvSxKpiZtVeHPfjVNNuQyEpDPGhbOpMMPPx6HyvGft/v9+Cy0Q0TKOLGF01xGhVSqNoYKgpgVNNwzOcTtIcnmxZ4Xm3RAkEIoa/+6c5vwth7+c7i5t89eb44u2nbgVWUUvxuvdzePt5tF1ImTu4ol15HMDIa5s/tLXhDB3MqauhMJYgB62ten8uVX8Tv4jMhRJTvH04roNWUeBj08B/E2Aihi8YZYuqOs+njH/zb//R2feE77QgxXwlmAmYXqxlcxKqNlgjDAQo5w5oJIaCTj0EQwBmuclGOqJiXwWXRGsFJvMjWDHrm/4oObRDdfty6TjWsnSr6O+dQSEAGiZgI+7NodU0NSiLyNvRT59fO91zNjSpxiMbOFg7lzuTaRRS8WcW2PfnCbpRCyCUtSrkzZ9ZG8LHQeMEyNk1DF4iVTVeXdG4Uw09RBRxWGmjjGKe7+wPi3X3iDy4+pXQ8HmaL9eMP997jIt2zn89WN3dlY75E3jJyIz4NrB/8HDciymE7XWq/7A8ft21HczadTi8vL8/Pz3HlrUqisyYtOp14Mpmcn5+jLojeR+QWQCaIpYvyTrmKJpMJpAG5z2lDs05yYEANOAG1mcGI11RteuG0IHwSvhBRY1DSR1ayrvd+vwtSuxBXOd+5Xr4dMXhMNnQJuY8N8oeiPnK/HdXqRhOAXWUy2+33vj+ePBY+c0qUS/LO3fYite6zW3YS5K5LnYbSriUGrFwqjLoIOXJZ8pIsKsjzI1fGTEFSB7xhUDeqGspFYhuE6FkRZHD30bbgr4qpUxA2xKpIStwLIfTFPz3EIYbvPnj57z/88tHZOsS7tvGh77ary83te7UsnGvoobm28TFm0r2OFsn3CduiSKP1ha/V6vjQgpLDvZlT6LVMG5Ta45X8yXRCNM31J1Gb2OlUMnw7sxrbyOS1t40my1paEmpG3eUP/u1/av6VDObFk8VgP3KHoM1PTIlNzV6PrLi/fW2NKp4QzaALIZZitw0EfElycYohyP0MxjmHQpGo0GgIAVeI0zLTTyr/jfwP9HfQL532dYgICpOYMFJMJ3XOue9/rW0/82Hg80GfPoEF7z1UTnh3zMBwDTjz8y9ntcp8eRCR6Xwbwpfr2/ekRn64aJuamIZu/gNfje4I/Js2pWruiOM1g870btCJuEh/RWeIM3JkJMiUsdZ6OGwv37tdnJ04cimFp58v9rt7Iqj4VdR+O1vHxdqIykBhTGpzoJwuh8MH0+mYXgSTJqF1wJ0ZQoBSF74Ivb1wma3OOIU3qqYxH3gAU9Ks3a5iUhNRLhLJOLxIwI/gnSIjh74MHmzXdQ8ePLi6ugLkmLX2s1wuV6sVogESRGH0gyoUdl2X0sPUx6b7MZuvmQkxOQMUTKtq0xq66qDNXlgVm9Uip+bi4bXz1fv68PGrV1fzm6tRKQUVAQ5ufNAM103cDCHn+sXWf2daep0HC+/SGG0pZxBvm94REcXrtjkuDQJWJpdirRXBStFKmDf6Jnw1+AnBfPwJq9fWXmcdIs+XzgSIWZGYSUmWvXWs/kWSJ++vPzp/FY3UZ62uP8z6w0XJk1pr1wXra3GU+yQjURImY45gSoai+S69u1dpBds17xT9EkWGuA6ZHTICxsqPOpspahsMYsSoFFmaTa+tk4MKqzoj9ssnJhppccPCUFz5K+73t3W8u46wasGDgcnxeFytVl67uReLhdMeFMZi3BI2oqlalyrKL8VX4LfsdBGjFg3vS7g8qRQIlzttelBQSLQgIaqRyKyiaZr1eo0lcnl56b1/8eKF02IbiVtQDPc677sqdwMu87D9znj+I5GMKgvuHStDlOeCIlDVjlRawKpzoI7H47MvZiInXzia7Jrm85vr93Ia0ew6VbiG2S061lHULWUz+B7PM9wBuSlpuw/bCbIh8tBMMA/Gf/nuRIudQYUWj/36g49etaNTdHw8tC+fXfbHHONdkz4fF4JHFOogOFm1Va7WuzbhQXWQcYW1vCf5465zKK3lnEF0QrqGN973PToWvPfT6XQ+n4Pq4pVxB4i+KNGuan8Cqn1EF1JKYLIUM9qb2CM8GSldnNYE+jHDiMYomGDxoGsCyKGIION8+PDh7e1tUpYjTBuCa2RXaA3a7Zo8NO34x7Um2lNmRXiwCKSq8jvq/YmVDPMJ6rZtO/Tx+Zfx8tHLGLNz9eLBqmmH51/Oso4fQXYVgv+wPf7j0Sepm5SvD3I5OnGVgXMAO2HEyS/FTTFlEcPC53ZmloOkxyl5Gy90MHoxXtsGRAvVLITTK4OdwOTe2bFcplQZTVu9zbHolaPhmTvnSnTddP0fz2+DcYElx91mfjyceYde1TvSuGjVFp+MhnrjdOo4/YozBTbmgqTUcudmrcfjV/hkUtVZFlxpJUSLIKLoJRZe0OIRHmbWrkFvxLyyGZUqWjWkS3amxFt1tuXpmZTCIANL920d7y40ipUHu4ZVi6lgcBVQWQuKM4jSL3EwghDtW2q0QZvhG6MP+5PG9G9yHfPdM9chj84WXbgfRLMcXAbKS5Y0wRJapzOkBiVS01q1OheQRJJhkJy7EG9ETnaw0Xl+fALeNOTZrA4GJSoxbLNqYnSj8SAiPpTxdFOyS8OJGWRBV5YEuJFeeyB85tWUAIt2W3O7cpvRtPWqRIwbTyrBhXyoVWlBHzYPHr9o2tNO2G3mL748S8PpRRRTzkTFDkwWpOas3xDgwjEYRTHn3PFwnvuPa63L5RI7Fi0K4/H44uKi6nADTkCELgwGLYlI27aj0Qgas3KfeUh7gQeIxYyL4TIADSfptISicwdhF+C/RQRRhWiwxY1QtTroDU0GX9q2rVV1t4plOBWDm9FoNAzeu4vYrEpJDNIZRDKrqPdrxk4b+Gz0yRvx3tca95tJ2/Xg+nddmkzTftuJBG5S733jXU15nYo42ffDxOcm3I07ZzjrtKTKvcyvFsMNqcomDaYxxinZlW+HTgI+Eku93mfr8CdZuVpFOQS0LdEoach9JIM2RDQRJINX44x+er5++OBqOd17pcPkNNqsLm+vL9MwcXKKXfhsIVLKeaj0MXTYTABQrvam98ZrGSUoPhEUk8QFN6qJ4czAUWtPrGflWuLz4YIJBi+1ZUj7cLzWv/lhBjQMwmykxTe7XDz5rf/wf7f/Sgbziqn65pwhn4bNP5/PadnFTF3JKglvvSBDHq/kEeQBQdswmFDSrPDz+Ad/FZRqXJWXyGSxmokNdKJsJ0DXPIw7ZLdmsxmsKsKonDOmNYlqicGaYyXt9/vpdLrf7/vD1Ln3Svsl1xZsGTHGrGrdogBI0SGlSDVouV48nRx2zcP3194X5+ri/LrtDjfXF1Lv6BJZi0l8njYGx53yEEPRhmUHjVYMZxqUDZoYhBT4DFDuaDrVaq2j8e10+eL05VVeXZ3fXLelnHDmcn92PCw+XjdcF8xWo53L3rAG8NVN0xwPl8Ph/a47Jd/wcyj1TafTnDMl0wYdB7ZcLiHgQvUAcGTI9KmKG4M7CjuF+qLXISeNDj6U+xYcV5VUd7Ro2n3KXDVS5isGJOCUCjSdTjF9AmZrPp+LCBOd1WoFXZuUEhiA4PXhyey2bh5+I8b/Vuseq1TuMx6JsvINisLLRac6JzMYUgEA//zpw/MHr6azrYiMxv2Hn9w8/flSpGWI5px7b+ZvU90cc67yYlfen0rXtvT61tUB2g1ajuIaYN4gIgCNuG5hzeE86FZFwwWn2D73cjCC4zTZxcjtMryohvHhtMrFxJRGiVw/WvYQ0mj6ajrfWjrokEaH7XK/meRcmubu+mFJRMlWzJWD1s+8qURgZ3U61L7RBhhaOd4jXSA59vRJDIj5lhttMaK3A/JJcEUMSEsaWlChg6qcADGSFKw4MEz3pnuVJkW0P83rJCL7rt/K8U47wqTilmjFw4tHV7IY6v+gA4mCTmyQ+y4QB3MIWsaicDahyKxCi6LBC9cKPyAiMBMMFZ2CFQyCcFUIIdfrddShaMgA2J6RUsJUKSwUDA1AaWG326GnEEIe3vvZbLbZbPrDQ++Pfb8CjhqULQnQphpRK+vAsBPYbI4fbtZtSpcPH9+03SAio8nuYdu/ennZH0/YiFfKpT1bNZhYVH6zdYdBZycxjoPkGDkCSVUrrYgMo3JcW07DdPlsPFnr//qXzy77Y1vK6U/o1Yp23TGKTGbqIf4cYYrTzIxXWNLj3D8A6RgWFvcFdAilLDibotOglssl6tYg9IuObh6MWiMeHVI95ItkIohWgqsy66qpyDoj3IofZkON9t6TJjYajabT6W63C4pzOs2Wkkq0kDiDzACNB6vVKsYIwV4odHjvqY67XvXT6fer/6++HQiNVKO20+rMPK58ZxLEpCNQSKY4JRBVXr04T32zOL91rsYmf/Dxq5dPc0pnTHd8KR/O/D/2LlW/EX97TGfSA+ovSv9BqIEwCCkysQouibslZDKYYkqDFquM2t3PD9DFFsNwsRmkMx119BZZyyXOyL9xZTIrPZEV3GGxXHWTtRVFW+/H/f6yHFqMH2JOxnpbMgf+pDODncWELF7LBEFLg0ELOsVOU1Gb6XWoXFHAOauamtNDNI2rSu1hnIFoni4zaPkw6Ow8vgJuDQavdOdVW1/8fXHjYppQuVQQ8P2CzuSfOd5daFREYGtALUE0TW0O5gRMO+CBGJQxn8PBd8AnW7+ijkFrHrWLxSbsBIiKCnO/BrxULbAnnXFDET9uUVgQWm14Arg6rhU4ZiYQ9FtIFEopJS/E3fqQuKar4RYWgyaJwd95v9iN/jT2r+63U+dL2w3OifdlPN06F3IaO+cZ0/HuuDG8mQgohnjNhe4NUBy0U8Xfr5bj3VWt7XFrVXczXX7RjU7aacdD8+Xn50MfyT2h3h7eGsNPFuEQODvl+iICIO6KK5HyYX94NBqNCLVhVslsNiMLHNMh0JOO7QeKMuODGCMLflk5w8wAJpPJcrlkiE2IPqrIjijTmNAofQy9Mt2nGJEj4MBMozudU4NcgStQNJrEeApMusDJcS+I6Adt79nv9zlLzmdNu/fhbnAEX6ioiefCq6aUKIoWikaQYqpQ/bEb+nY02Tsnzsl0fhTXH7atuBNLsw1enF+lIrUei5s3TmoWE5JykTOxKPcZNEG1S0QTVlyhLT1wy9MQ42CSwcyDZmHQfiq+XKwoMVqA9r8IxUTri8AYYozij5PZ8+XFdWyP9II32/FnTx/5/oH0UuudPxONKXsd5MTwCG8fS9cpfsjNxTeSTZ+fu58FOsW6ecvFdLtmrdE0TcOb9Qa0ZL5hTas1g/jf194O/4TWANsTEJ01y8RjRWsuUdvVmqZZLp5879P//e2yRt91R0jHICK0WaI2FzQEUS9onZM9TzU9djAERRG8YBok+DpprOk/aLudKZyIbs6qTTz4E9KuvLYBcIfEGEEuxScR3xEcCFq+wtJBUpV1ChfW5eFwKKX2x0k7WnMlc8E5Q/62oYDNnxiC6ZOs/XFy3PvpbHCuOifdaB+b42E3irHluvfmICLNmJH2hZYR38ucgPEpHSdB0aAdKTln74/d9PPp/Dro7LT17ejpF4taAm8Ky4Bx62sFj6pDHugymWsSTnTOpf5xHt5vmma5XIoIWnTgG6AIM5heVWYAIQRdG3/NAAAgAElEQVTMz6JvQ+cD/bpTjhzOiTkSWQW6gpbTYByR0xctwHAVMf8AZoBi5+3tbVZ1TQiHwkgxOHMqxMxUpqqsEpKq5XJZVHYVNwgqkFc9JryRvu+b2O13027UN21hlkBIthh4gKuuGGzcKZufltHfoYjtfjsajfc+VBHpujSabPY7n9KpD2cUyi75vrgidRjyNLoQfL1fpxQjd8dsrBjliqTNhUWr0cy5q7bHOVMYo0uz6Bw9PQMFUUo5VSzsFqNDSqpOBdASQVuVw2j6bHH2smnv1EGv1t3/+8X7T68efjhrY71j1vAKsaiCCqBXTcoB4DMSZRwmmpAFLeJ4U2GlbYRjY+7IeKIanjNeIhqNmHvQDTtF3XjBojhBuF8t5pOkJ8ZhvXhUvY5qYHCnXEJaDKdVybY5/63/8H/5+6nOr3i8u46w1godFsBBaLSipatGAcHplNSvukAc2RC0RIQBuNc+UKYs/AwXB32hmEnQDCr5krj+nCnwcoMNqpomykYpivZkpbSh7wcWCqbQWnxEA8RAQmj742g82YBLRudtSyZYNMVQy4riPPhJMfKe/TFsVt1okmPMIhKbNJ5uD/tYayvak0DfWQ2+IYakJ2o4xAxjg+GmZaz3aypIktq2dT7PFleTxdMYBz2tu3o+u34xdeK52WD9k47EKioPxKwOVAJ8BWwW9z8DneP+sqQn3nskc7BuUG+Zz+e0+0VbpnizKAQyUrFrMt+fcMJSXFK+MR2GM6AFj8YMu/cKwtMuDMNwfX0dQgBG4rVwjswAK3/QkRpViXa4eIwSw/kfPXrENJ1pAcMIQiwpJRFX0rnzuxBPbxNRWtSDyZmYIgXXA3cKkQmaTqlxt50Gn5oWXK06me1KOe63cRhSCGEc3WpwRVzvQp+GeXMnfsaMQTRpyMphyTmD0AT9Gptn8wKC4WKIoZk47aUTpYjT/cMF4iVaD8QLsOa+GB5NVBpqCGm2fDk/e4ECBI7rdfdffnrxoxfnobQfz3KUOz5I0NIMrsTmPXykCL/4Cui9rHtjwiBKJbPBRDAd61WhSz6roGrXfBRYb8wNkk4sKIZaQefnDT2HTpEPPJhZp0W5ppagW0yHBh0n/9Y5t1w8+Y1/93+E+5WvX/F4azXCnPNqtQIQ9LbO6ZxjT70zmn5Jm82x2hC2fMOFcfNUkxoyqOfKE1W7KNqo1OtEXGZULHGJqd9UlShzOsuJAX7VhnSMLSRi7pwDgWW5XK7X61orEbZWFYRBnWfeQLsPn5TzMh27yfxzDEyncx3MYFj8hEaE90K0RLS30jk3DP6nn00fvR8X5zvnJMT84PGzw2F83J7X3FRtiLSJrBhiCGPSGCMLll5ZP7gj2PGowk6ANH1wTfd8PHvlHMEQt1uP17dnfS8Y6Vm0Ex+wZFEZGjwNbmmaIUROcLFeOZn4zGF3VtKTEByZLNiW5DTxzdLKw/XyY6CZwFiA3omkLShlgGGNaBgUtXta1H/j3oPpHWZLAz0ZaSlYCUxHaq0YYdj3PQS4cRnqw+664MV0WKMP5MmTJ977Z8+eoe4eY6QrZRKDBdn3ybnvtKOfNt0maUcsWhWdcwjRnDaTRTO5mnjDoNOGRYknKaW2bUXam+uHu9367PImhOKcLM/342n//Iv5fp+7rvto3v5k62upm5R/vs/vd6fNO+jgFO5Ewi22hocF3+qQetHeJG5JMZxYrKKo7Gik9YOOQS9GC6nRGYEkPIvOtbBZ+F1w09b54kU7ubWx+Xo7+q9Pz1+tGwlh1obvTLOveRhO18mWaFTXosp+0j03OmO1KNchGTkLf187nrmyNy0xojKBWM9em/ayFnGsJxYlwItp0sCBPU5aFusaDPKcIqj0eaIJBruA8L2cxoqVw79i3IzCBB8Fbu3tQqNvwRE+f/78d37nd/7u7/5us9l8/vnnT548+dXPKSZ7w1vnVGKS2WCJWCt+48EXIIbx6FQoyIJ1OPAybCyZTAehVxK2aDqVDeOm6GST6XRalKuJRJCx1ckWa2MZeBNoEzw/P8f9wl9G7U5NKZ2dnSWjzIJUQ0RyWkj5ROQzMY29+LqiPcKijSVZaZO4QevATAobXjybHI/d5aNTS9NotB+N9jl1x915Sue1CmpXWMF4XGLSC1anuKmQi8BvMZwUACwisVtNF1ch3LW+HPej21fLnEa11hBOgoRIdFglTapmR6ZoMCN1YPSBcHpt98QV9sezPHzUNCehuKpcX8KMxQxHhUGkNiZicHRNRJ1InnTCCc0H9YYI8gTFtGl3qJZJRQ/YNZTDKcMNU4563qCt5U4VU2GMrq+voc1WTB0FjgpCo17xKzAacs4XFxdUvQG40qjYt4igzxUfEPGH3cciP5tMHFr4i46rddrGyijQvgKbt0FNkGlKzhl49TDEL/+pOX/wajpHpTw/+c7t6mZyex0Wbfxw0vxsWyW4TTq+8vWiPZ2WWSkeLMvwYnhtQcmlhPRZF2fOVEzlnqmtBfqSqgc4Lbs02lFnzXo2Y6V5Th/SYvlqNFmLYYQej6P//vTii9tGapUYZ75+NB5cKVVdAlJSLC0qMODZ4jkT4efFwG3TTMndMJCQzJgzu9mZZolBg7Gp+QGGNfBSXsc0IigkY4MpKSEBC7qyHs9UhMEiI0KGL1TfxYqtqudOv8h1hQ3yFtMtHG/BEY7H4z/6oz/69NNPf/CDH/zqZ+OBsBdDp2Av+OAYvUbTofLGg/kfmyLEzMMUXYKvZdmEBYjGwIkSzmJe6JQQjFTMa8cC0ztCBwTNnHOj0Wi9XntVjGSWE2MEiRTOnoYspXRxcSEiHFxQteh43J813WORL5zhJth0LYTQtu1+v/daOyQvURTy4mPBZaxuQn98cPneejw5QG0kxONk8bTUl/1+KXLW94WJF94Ok49GGxzxoDpVOYfNqqZPdjpL0/l10x352NPQrF9dHA6QUDhBuFnF7wndFO3fIAWGvgSGyToG5oLe+5wuXPmuc8V7D1VPHM652WwGP0Rb5nReYzakWcxXAgu/qEwwoxNR/a2sTcS4L1wnUe6oY4AI5yKu55NhPYbk5LZtMenX2lwgFkwcx+PxZrOB+eM8ZHwXPCs1r3POy+Uy53x9fZ11oiwsDlhal5eXm81ms9kAtNiuP3DuWdsmulJnGGSEZ+C2edd0Symlw+HARRJ0IEYIoetmr142+9364uHK++pcXZ5vJ9P+6sX5ZTs9Zv/84MS3L3NthuMsqpvRbAOvgGFlNZProxKno84x4EuEy/c6CAnblpliva895nQeqlfmkTMYu5j2Ynisph0ms9vxZGtd4NCPX1yf/fh6vCkitRcJM58+mQUv4n1kVEc0Ai/dK9zNV9w0DUDRqjBs1cquTciq9l+KIQMyXMOVt2YKh3MOle9qmiUYhQcVEyB6XFXbkmmoGP6LrbzQtYsm5ZSSZ7bN7em1cQL7gtufN4W4DWfGivo6s/9LHG/BEc7n89/+7d9erVa/+qnswcURQsC7rwZxZqHiG0KDrFUWIJz4IXOUYrhn7n7dW9SmM+cjNBGMWi5RLOKiWGqwJrhmZP2guVeVnIgxTiYTyJRwrw7DAC9YtBl/GIbNZgOOA3IRMCboC0+Gpn9S/TY2Kyys0Wi03W6BQTktUEMBDo8uG2IhA3xvClSllMO+PP18MR4v52fbyXTjfBUR79JocjUaX+33s/1miQZ8BG4scWXTx4KAg30mzkmV/WR26LpjNz76YEQ0StitLw67Rd8PilifhLKqsshaHYrLFJCIVlVGQ1U1IjGjw0+BZL+Q/ImItG0LRgxeREoJ6mgMWRptNoeHwM6cTCYIIDabjde+wF6nFgdVLMMJoTXKnFVMyRnIKnGFrFwqXDk+THlS9j/ApuCaAZPCcOx2O/jC/X4PW8koodY6m83QMgH20HQ6Xa/XSMj4HFar1eFw4MKDfAw4ROPx+OrqKuc8Go03q0ftaPDxyptBWkSks478DErxwDMJITACszkHbxZ3kYbm1fPl/PxF2+1FpGmHRx88X98u3pfzYwq3yYnkZ0fxtYzCXW2eYQpxAjFDCospl3qlKRUtd3GzO8MQYWwXlS7OvckkkoAH7ijrjAXv/Wh8nC2vutHehuVDP96tL37+qvtiV7M4keRc8/6oPhy7pom8Tkt7SSmhgsAaR1KhJehFRJ33wvTUYok2AnNafSAGw8CRTtRGM9w18M1sKiN6zHwArx51K9FaIDZR0fKqiIAYiGvG/kJCOeg0saDFP4bpos6PyatXLTrmtaIR51s8/mf3ET59+vRv/uZv8O/5fP69733v6z6J6gUWIowCYttgKILf4AWZH9g8mmtO7hM3bDWFh1MEtZjBZgzJmf2wbBZ0aJnXVhgMzWI4hk2IghPsLChtmD9MjG4ymSB4Pz8/v76+3u12rWo9ey1jWKi2adrj8ddr+Iem2Zz25GgEG2r382g0GrTPl4U6PgQC7klZrCJyOEj/fH4lk+l8tzzfxSaLiDgZTzbjyaY/jo6HrpRQS+P8pNYmZV/LXcAuwLHdLjbbELft6OCNghSOWt1xf3HcXeYsKfXRCNlgw8CmszvYPvzGyDsxhrWhMQpptdaclmX4GE0W8IIMQoOKE+G9wIl2OqxclJ6DJFIUTUJeBc8nInjRiIHohm2ns+jGZtpUlAPF+APHbDYbhgGvr+gEQXwRkINkJrnPZrPVakXMXBSZQFxFYpEFl25ubnBOaNUyD4Z6AC0p3uDDhw+vrq5SSm3b5eETcdH7L0XLdVEngCbV38qGTxGVeobFDGfPv6W/8acqe1i/ejKerMbzl84V52RxtprOttP5xf/zs9Eq96XWF3v5YOqCq6i/Mh5CusYAkZCg0+7SYoBTax+4K7l+CLTAywallAMex+6mu4LHCsGPxtvZ2RrTNngM/WS3PtvvRz9dl5uhig8idSLhw7mbxtpoc2FSwgGMPnnyFvXBIgQzCw6AjqpopdAb4p5NB7OqIfJekPdzoLw3jWHe5KBkF4t6HYaVoqgmPB/Wmzc19UZHAtg3buFW0YiWe1nuQ1nc+EwNGV6LSjJ9neX/5Y5v5Qhvbm7+8A//8Ks//4M/+IPf/M3f/IW+7y//8i//+q//Gv/+rd/6rT/90z/9hg8jVj0ej8B8QFJqVXTtG7xg1VYehjwi0qkSv/0kcw4x9d6vHlmp2HzBjSqB2XVTa12v143p8wWijdSw1gqvFs0QssPhsNls5vN50X4Jcivw4dvb26jCbPS4SQVBkJdMJpPt+sNu8o9wk7hmbm8xg5ngKpgi8wNZZwnZZ8vYsO+7m+t2tkhn5/tufGIKtN2h7Q6vPahSYimhliglii/dbOf9mzUgSvaH3Xi7Pvd+nPNJl66ahshkJMpo4Krh+7H4h11NkXSYYypf77cjKR92nUspocLHnBvVRPg/Fp+QZKB9kHC306ZPbEK8GoRZVBzlOBGndMSovRBklrPGQ14PDmcYjDgV1jwswnw+zzlvt9uiTRFITLHkttst/k0+upjKNwtdRakWu90Os8DopTabze3t7WQy2W632CaNSpZ7re+KyLB9FJrBhadMvBrlEr/m16l3yoeQ73PWSiloaoxKnXfOrVfTw340P3/etAcRCTHPly/+49R//mz62bNRX+rLXb0YS3R3ZEjeLEskxAyqdlbYglbQVoRkJF5pr/EYeWb+LdSFsAa8YqR9v58utsuznR2WW6s77sf77Vkaxvuh/GzrNqWVxkl1M0mfLKRxtpnk5H2r4tKvXXBSggwhdG8GszDcpHPCqYKSCvm0nR7IKJgBOy36BtN1Vu8rRyLiZF7BbcIs35seRBpbr3BOVYi+alkE5F5u9kYbcnCPNF/IgKsecn8i3m63s9Wubz4Q+H7zZ76VI+y67o09Dw8ePPiWl8Lj937v9/7kT/7k238eUmSIAWlE6Eu+7mAygZzSaQv2Gz9MX0jA6o1HVfwtG9kFS4uyvEGntLoQAt46pp3J/XlGk8lkt9th/jC4GMvlErE/Lh72Dn9InA1YQUppu92yFvLgwfsvXqTx/EdtW5ExMGvkthGFi8nChUN1ZnhhMY0fBL6w9/bbJg/LbjRM5+vReCNvihm8T94nkeMbfidSShiOo+Oh6/tx6k+NKxZLsZUGQljMlbOWYwH4WDg6qZKFM00sKaWhn7r665PprOs6yKkoU2Pg13Ga7ng8Ph6PKMXhFWy32/l8PpvNZrMZtiVpF1yf1CpDlFbM0Fd8hpXdVjXkso6SLsreem1xIh3Z7Xbg3I7HYygNEYje7XYwGWisBrcF8u5iBg/RW+N5DsMwn8/X6zXA8+Px+Pjx4xcvXkwmk9VqFUKYTqdYPE3TgKGDYAv+UkS8/96QG+c/h3vjoyb8VVQhgUgXWEVM4wYVbq5KGgzKsRIRkXD9/NFospotV+gljbF88mT95PH2J89mP3vWXg/+8Ui8vzeGM6pAiVeEjReTDf8lajnD2takmg+NcoxtKoZYFi+F6Uut+9HkajLfYCLYyT4Ut11P97szJ6MY47rWnx2aQ/ASstT6eFI/GkfvhKAF/ZPoVDXGuAAY8L24pKD6HrhagElQLMJJkK1mZTvjh1xdjfbFZx0IzK9mjovDhp6sIiHzFiMKT6tC5AMmwuasYkJbOnJKiBAMCEq0YbiPnAHf2KpskzeKx5PJZDab/QvUCMfj8e/+7u++xW/9locN3LLqiAYjtP3Gg7mgqNIE7P7XfZ6boSr/7Y0fc6ovRUwDDokGuirmLjrGDxuv1bHg9T4Hte97wGi11s1mg9sEOUhUIRATNpiMQqtMtEWh1gpKHghyZ2eP15vSjP7R+xODg+And7UYeltVZJ9zgImRVpUtxmWIoYnvd+F4uGiai3a0hdtzfgixxFhCrBzlw6OUUNK0P4z2hzb10TkKjd5NT3Q6bw9P+HA4gO6RlcrBqkZjZILFDIAsyg1utK0+pVTy/Lj7aDabzOdzsGPwcpHPgRGKcMQpU47IM1IWMtngYwBeiQj5KY3RWrNhELMNlpZpZLlacF9RScjF0JthsBBLiUJhm80G7hkH2MUIv5CVwm07beqvRpID3YRVC8YgJ2PCF0rRZ2dn2+0WpAnql2LGJ6MiQDIlfVCkjCbPYddgjmHUYObwMUT3YHvhYxRLy6bbFYdXtQoAuZvV7Oa6ncw255d75FtNKJ9+sPruI/dPL6YvbmaPvY8x0GoX7VysWh8thrxqlwd+wm3I7UwsEY8OryMpJfiUjYU0na+abh3ivUJgTn67nm83syaOg/fO+5/v3Of7IM5LLY3UT5b+ssm1nlypu49kYgEgUGByBvNCMNPfr1AWHTyOW2C3Eosa1UwqZVTEYfGtKrknZcDydVStoTbaKxK07pu1PIS9w6WF38L04Uook+uVwmrRqVZ1oFqj8sqX6L1HZOm1asNP0mWSJ/UWj7dTI/zzP/9zpDV/8Rd/cXZ29sMf/vAbcMtvedhUuiqW/c96wXLXEXyK8hqjBvTGw5nuwPomEqk9bFmbASkBMYBI1cyFp2eFXRNFKgbVVka1pmqhgvqWUZkIbdtCOhn3hYCRwRqRsd1uN51Ou/ZB3w8xfsatDgSfDsPf544yfWFpMCkPm3GiVx1hp3hRzrlW3/eTqthpOTFBYjcKTSMh5thU7/zx0OTU8lWiMEcUJamWoGiHL2wB36DXwWnJ9N7xDFnLQrBW6HDAa+r7PqfpYfud0Wj06NGjaCRGiyr44Esh2gd7BE/jVFwNeSF4eiKC7HkwKuGlFDCe4EFtnkqfB9/AxJ1BCWPeou3DuCnGcEkZWEkPgFEIup1z8Ft4y2BjwXnDmRVVAyjaNrDb7fDuOh3jhefw5MmTp0+fAl4G/aHWyhoziLKiGm/w+rV+57j3s8UVLoyGKSoXbNAxn4NO6aqqGmFNHqNG4o3cuTG2h93ZT28ni7Pj+cUuNklEYqi/9njz8Xu759fjsp6ItFiudK7VIOQ0r/RzQFa86iEw0YGF4aISo5ddaw0hh+amG29je3jNjvR93K4W++3EuROev07+i13dpCJSRNIs1n9z0YxcptNlMlQM6xgzSqsOSMqqou5UP9Yp6ltVLYiQZjJtHvSCdLREjO3TaE6NyCcAnOYRzRjY7yhJ4pkASM8qwU8FJeadzmgJ4XbwbL0OfcSyz9rzxt960+zIPAH7CD4V7FBuhFaPX92/vHa8HUf4t3/7t33f//7v//5nn30mIj/84Q9/9XPiKbO4knVg6Td4qaqTNkUTuH/WC/K7ghFQd1+Bql67KgT42PNFR38l5ZFXRc+5ZL2pJMMSwSp577FoRqPRbrdDnudUtURE+r6fzWawyLARIAqC6BhCANzHpdZ1ncj7fTrG+BOuXVGozZnKBMiQwKzILxVVxGD4VvSweBHfAoM+OVFFUkq5aZqmuRsEYeNcZucMXQdVn4lKk+t16p6oYFtReRqcIWqzBLhnSRu6SSQbhiENk9tXj5voHj58SF4VsqKgoifQkYGUDB8IsE1OVgNftGoTHol80+mUhJqies1FGZ4s5lOMmIEOb8qZtjNCHSklLABYBNSMkUshnKcFgerQer1mCYCjegGYi1olrhz4ITwi6Llnnfa+XC5vb29xVSiOsowEMjNaXbEOEXiF+uFu003nT3NOiAUHFYsI1NpW+8uXiGtAZBZ1chDXPF1aoyIJozwaDsPTz+fjyW5xvm7aJCLRlw8ebOXBduib/jju96Oco/ctV7uFQLzyHm0OgUScaxjRj2jmrYnU0HTrpl3F9vA6zlFlt+1uX41ymoUQRapzLrvw43VZDUmkSBVxsoju07M21JTLHR8K/iBpT62IUAuJeW3QNtaog1G9Tluk+7TmkY9dTLmUgKpTYSNWFmzkgfMwfC+KXoCeA0cFbDxrSdsmkSSsMa8VjULo2yjN44yCBKNzWhU8AeY5dtcwCkcoYwUN3tbxdhzhn/3Zn72V89iDgTONC0PIr/s86sD4Q2rxfcuv8/dJpHhtb/xk0IpUVfyQi3Iww51FVwwL7E6rdEA4MS4HvIyiog/WB8/n8+12u91usWgOhwPG93C6EyAOhEisGDnn3PG7x+Eo4UsxXL5gZLhFpNV5h/DoTjGKolwDEbGO/DW7hieAN8KfMMAvRlGeg66AoYkCMk7VcJwyX6qO7BD1tXiwcAZB+0/om+E2RAPtoLpix8Nk9epR147Ozs6ALaeUMFYejwu96rDvCEHoCOmGkYDOZjN6LxovdOtDbk2MDCyfME1AUk4ga4e0BfykM7gTFx5umW4brxj2HWyFpGNgizJLUd4rqrmDtQS8lIKrWfX8nI5NcKroOJ1OgxJ0a6273Q4JIhYePBOy5PF4rCDEPKU8Xz5z7rRbGYOy2Fy1RsCcoFF9Iq43On6ab1pYuIHdbrdZj25vmsnsML/YTcenp9q0Q9MO0/mqVknDuD+Oh+PkeIilVBvGMTWxWCgtDBmPteamPTp/9P4Q2+NXiWC1ymHXbTfdYTcpBWIRMedcRZ5v68v9fnBOfJSaOx/fm4b3xs5LzfnOIDgt49Ha5JwJxUczyT3oCLaq9DExA1t4a/SmXFHhvlok/5whwmBUXRgxiIb4XTcPfux9F8OopJiK1FpLqiUdu8anJDlnqRJ88OKa4GuWEGrTeOfr8bgPPuc8pAG3I6BVcCVE5Y7BtuAbo0pfBR3LChBLtAnSLtQYI3zh2y0Qyrs8hskZ+NHfV5T/6lG0N7YaXdpv7wVxBDOojMDUGy+MkF02ZEsYeuRYZBhynyethDvF68FfFyP37hTbQdtfo9NGcB4Q69frNVYMOhTRGZ1VRAZ3MZlM/OEHQymDe44zw1jb9C7GCFPrlLddDOua4L6932LKD9XQOBkb0tEiG/aqEA2Pi+skLkTzl40iTNKOBVpSEUFkSguetA5P1DHocEQRWa/iq5eXs9lkNps9ePAAbxChBnMO+sLlcrndbkVnQMJGJ+3Bv7i4QGWx1R5tEUGhHqUvTC8Khq+IFMd+l9fGeRuF2IQpq2pgUZpSUDFGr8egw0noQrz25NBneO1koLnpdWpB1bYzJHa4EjCDRCTnvFgsCFttt9uLiwvvPbwdkE9yHIgi4r/9cbG+8ZP5z72/k7On1S5mtAtXDq1bUQIzrhB3Shw1KM8L7wWLZ7Nqt+u2H+WHD/YX0yMn2TonTbtv2r3Mr2v1Qz8+Hrs8eBFfshPJtbqcJJcw9EkESyjHprRdjs0QYx+b3vmvYyG6477brLvtuu17OJs6Gp3kzdb74Wrwm1TFRfFBSl628TtnTePuQA7mZIRbsOUZjoiyQoKRA210cir3l6WVFsWZvKrDBMOMK2YUIiNUIjRSwzA0tTalNN6Naonej2OYuNKG2k26CRLBzWbH+A9bMoxP0S2+pWs7XOQJe2hOlnMYhiY0UmUYesmHfNzm0g/DPsQ6HjfR+9BGqYNzpYmpH7bO3UXnqD6gcsQHUlVoBlEg+8d+IfP+zce76wjFyIGK0bn/6sewMrDDnVKkflEviCOqFoloR8EbP0Z4zSnzhVBP1c4KJlK0iXi7FDPEiidpk6YKzdHOOZAGYYVhkRFFgvKH3AUO+ObmBpZClHcg4qL7QejEuRccYsdnUpTs3mhLRtS5jE6b8LxqhTvl4FWj9C9Gm61VvQnRoJVRgijC4+5XuZlT4jKCss5o05k7eoWdyZd5LQH12q9Za+0Ps5urs9lsdnZ2Brbn4XC4ublhlrlYLMA3m81mGA0hGohAAKFXBcXJZHJ2dkaMDhcfVY9fRFhy86pjWVUNxGuPf9CJ5Azzxczf4H/Z1MVFzkot/YrXVhkRQZAEnAA8KacJfTAavGBRwSkCAUZ0AoKVGMsYQgA62mi/GqJJoHbOOQ5QtFUlPJbtps35yfzsC1whW4yw0rIR2Xmt9IVwEPdbTNm1KlINI05cl/coB//Zj8d/J/F81l/OD5fT3Xx8h5U5V9pu23bbb9rnVd7IeT0IGcgAACAASURBVL73ker6Y3fYT7e3TS6hKGENb/94PBYfv9ykTRJxRZwTLzMZHi/j2fjED8jKisJlk4PjlS9DSINKgTRxweiDE3lOpuXDuoGipKGkirhk7WkNtQl+PgwjqbN+7/vjSXMYIVo7Pj1brs+U0mq1QhUGl3d2dgaMjbKRTdPM53NAptVULiFerwZZJuPlqJtvNpu2cev1uqQgZerqCNswhNDFnPOQ82F3vPEypP6qlENxKfgYR633uZTjkPcME51SH/4VOcKiKtLfkA4SXqhKm/6lvSCO8O1IpMEI/DNnIgJJzMcSq0Tr2GAi9KqeBQBqMpkAegKBGN8CjStR15tSQrNX1dEcRfW9drsdDDojx1prCN/zbmjbkxI/TRLWOkFLgipZ6+FZVVGC6nTbuB6bHME7nw9cYFK5FmsBWZYgEIqDc44sSibqy71OOWbsXEyDIy0+qmXDMKTh7PrlcjodLxaLxWLx4MGDw+Fwe3vL+sd4PJ7P5wBFyaUcVGGr1XnoIF5eXFzgyUcjHEUTBmePH8L02JwY3h3kHa8EPF65/W9RgqgYEgdjeesyxcwCYy9Q13WEc/nhpI1GKaXpdDqbzdbrNdj2XquGeLy4/tlstt/vIUCD+9rtdkgunU6lZ5Uh5wyBXPwWf3LYtyIfLc6/iNFlVQjjfXFftDq/ngGuTf6y9qjxLfeqSSRar1WWrP+gdftcX2zHf78eiZy3jXyw2H14cRx3W/+1iZ053mgeqvRDk/o4DDGnLvWTWkPOuUpNqU/aMVVKEedukr/t+5SreC/iRqF5MAkPRq5pIt9CMlMhg3Ivg/atw121ZpK7NwPU4FpaVRWuWjXIqm9XDEWWq85rT20IIecY3LLkSQjLfjcejSZB6na3raWMRoE0q+VyyQyMkeh+v99ut1hXjQrq9jprAl+EM8DYgh7caC8ZKhHYsKAvoIaNDzP6JKoBQxTjeUrpwcV7qCm2bVsGiW0rtYSapA61HErqS605XbLo8LaOd9cRMu1gmPxVR5i1z51e5xv6Bb/l4e6TSAfTkm8P5mdemd9F6XmseBPoA98BLpBQRtVS8NnZGfpDKdIBq1RVZByLHkWg6XS62WwQqV1fX7///vtFq5JF6QCtaoOlVI7HT1zsQ7gVE5KLRpocB0FzQ4SWn8mmxt6o4D1vk/kizRaNuFNYGz/Bv5Hg4rT0fxazFS0QFqN3Y8NkXiHb8lJK++305vpCpEyn08ViAZ2U29tbxBxwRcgR4QhZcoP/xohaqJcFnUcKbgjzTmfKe1kVSVi8ZFomapKQKAPeoRf3plrM9VO0PsTtXZV0zqWCD3hlqHsVV2KOZbsVEZ53XYcOEIDqXrWQsilTwW8BbF8sFphf75WEDOUjAqGI9HPO+/2+1UnFWGnHQzxsvjtZ/FOMmXggZ+nxJVYjeldr5YLndlBWamVcGwwHJOqkjlLKLLhJW/9p79dD7Yfyk1ezf1qdfzSPHy2OIWx8OHhXnBfxRWoWl0WKd0WkOsgbVRmGZujjMDT9MeShHYaQ0l05KoTq/anWy0tN4rfFH4e6GYrUIqFxsT3v4keL4GtmoboqTZpXzgUsIvANoqi+JbKJYfpUA0IOKsVOsMRpVeJ+gCUlL2J4r/QL5zrXNKP2NB0TE0UAIMFfjkajy8tLLIzpdIrOVCwwp2I6qDEF7Sf2ZjYn7hGWCjKQ1QwhYQZPV0rkplG5cPhsPNicM0AahJWoZQAzwGmxKdH208SznN8s0/FLH++uI5TXBN2/xgvCLjit/byVfNkZEqmYuvRrJ2c8W0wzHJPCYgYENtrUFZRHDpQDsblzDn1gKSXkgllLx9XIcXlV0YQmMn54e3t7eXkpyqyhvau1Imz33m82v+6bz2JccZOThZWMaD2uikUFa+4RutLzeS0ZRmX8ixl3xWiA5+FzK0rITKqGRSCaXhCJptcmKu72rHQ+GnGmFLvt7OWzuXOZ1bsYI9rGcSp2xKM6ePqr3Y54LBgZSLBE5OzszGn3tDdtowwacEcYO161fFgVOhYRXgbXLX+L62dCaZMkXAnXs30svFkbRWGVDjqYolG9NDQIYl0hNmco2dwXjYShYayJ7BBAKLwdKFrwglFbfeAgGU8Aouh7V28/Gc9+0jSnybRO6YjIYvGlcJCNkUmKSgMm9BeN/Cbral41H4jPu5K/O6mvBv9s6/pSSx1+uipXffv9swdjf7eRkfHke3Qkce60hrNyRoahtzEiV6NzLsRm1Zfbo9sULyJSvUQnLsya8HgiF1Mk9Pfo1kGps05b5qv2TXntGbCqs0XhTRYUxLA6LcqatQrDP6lVpM6kXrr8MLrWVedcYRcgGtsYieIJAABHDAQIyntP3SVk848ePbKfJ6cUK4GpAmhWuBe4NzAYiAzBgp2fn2Plkz4DK4dYDe3Ri8UC2Ml4PL6+vgZgg00HYBaAxK+I+b3xeHcdoTe6A/IVR2gtqVOe8dfBmL/ct4sxQ2LcoTeytsGo7xM9E+VuwU+j6Z6KDFxYxECgNWV9qgWjep0YgJi91np2djYMw4sXL/Bw9vs9AnOYePztfD4/Ho+AOMbj6Xb7Xed+0rYrnBx/CFyR27UopUW0vcneNYfpENfyRikKt6+h9B1bxNp9UUg2a8GfmY0l1gKPbe4PG6v3xxpkVVeotR72y+dfTkLwdHIg4oImivNj+vxisUACJyJspcBvgUjTveHKoRoTdBwu8QaFnU9YllfJAia1UQ8GQMyKqpb9xYT8PIMY0vxgRmXRByPi7o3gsjNqcygRFa2mFO0SwbhaZuFBGYnM2uHJ4HIao12JLq5hGOBNZ7MZXhOINjBSwE4Rc4QwGg6fduMfibyqCl87Leo0OtSFC4MrvFW9cl6Sxd6dAh54X0n73PGZB6EuW/eTjWySSKmbvv7nq/qdmX88qjknigNUo6nL/cWliFKoaJgVtadwd0y3Oexz2KcsLoh3Il7EzYI7G7mHkzsmFD0TfRXeO54Sxcez1gKI7dv3mMxMG76Fcl96KWiDpnPBu/Oczr1cOhdLKVEjObwR+DkIL5BmFbXPAeccj8elFMQ0Oef1eu2ca9sWns8bffnD4bBYLOCQGIwWbfnAEgJL3GnrGmJ33Aiq1Ii24S+DqkYn7RIehgGC9U5rIhgjQ6kdxOvT6RQswrd4vLuOUBTKk/tekPFaVjkDbJjmrc5pFN0StG744Wvu0CnFiwG+GJocD8bsWRUTkrYhA8KiQs1sNttut07pZElHVDMrwpq4uLiotb569UpOsoc9nRATMhBGbm9vMXOg73/NuR85d0PzVI0Mhyi6YuFTprA2oy0KonIzNKqZ64xW06BCoLAItOCMtZkGVSOfT3IKzSL8QTajSIrKaojIdr3YbR56vwdMB0FttmmimaTrOuzzVicBFdPARwtbtRkxKq10Mpm0Ksam+MwJ+PJaLCz3h0PR1ryG6QVFR4tOz2GCGLXXns+QhpXPqhoNBPyblCuv2gvMlhBtRKM5EEIAjWVQdR4kAezNd85R26ga+Z6g/dr0FniMSCBwF1i9DBeGoaT8SdPlVG68EnyAfPC5NaooVpRWmlSGHmk6IzMm4qK4PeM2IqhN03Tefz8Oz3bu6dGlNKQaP1u5z9cyqv08lM7lUShRcXUGKFW7cVj/w5JumiaXcnMo173fDEFclVokjkScd37RuYfjsGxrUCOAx0KoP6nKuVO6E7cnN7LlN7FKzVyQQYCYudn+TqWl5jSTcunc5XFAfJmbxjNBb9sW0owQ4iBjHJsoxjiorhDDJmZ4OAM24Hg8XiwWRRvA0AKEexHFgTqdWR1CgJ47reIwDPP5HAQI1IYAaOFBQS+QTwZbA/1vk8nEew/OdtFm1mJmZnHK2Fs83l1HyBhZjCOkvyEiBIv81ttKeHyzO7T/i/TUojqtDlbF4oYBYhaLVA8LF68Za306nULaEasTYBfjuKJ9USiD3dzc1FqpTYOyEG0W4AgRcc7d3pbh8F3f/KPzt8V0SgRSABSKGXQ4AC1O0ZInTJ4z0mhYxJjjk7VVQ5Tl+xpyyKDBKeRVTcM1gk0xw0XJrWcOCrOIj21Wi/7w6Hjcou39/Px8Npthn0NgBZZ3sVhgV4vprIrK5PRmRiuCUKBGsBRMPhrt2ixaoaRdLgbUpZtx90va9P1JdUBoiEUHtjHmc0poitoc5hQoi8oaoyMvOnsrKaW+6gRjr9isUwU7fPWgg+OxxkopKP6hX6JqqyLCf5wEEzTx7oD6vnr1CisTd4G0A5hnGnLJvybhH1yzgQ/mPSJLoGl2Kj3jVKTCdvrbnYXHyFQSKAIZPc650Wj0YZMvUvnRrd8UkVqOpR5rvO0HkRBdGIW6bMNsHB50rTs9/ioiQy45dr20fZbjUA5F8q4cUx1yFikSolQRH2dtezH2j2ehi4FrEpcXtcTOp2E3Dl9WMSMgGEYkI3TM1QJUk2vGvPHQH85yeujdGIyBGE89pgg1kHYDloQQB6LGYjhZ2+0WNQL6Y0BHUGwQ7XkdjUawKlH1tXG1oCxlrfojnArKfm91SCHOzxbJYRhms5mokhyXIkX+8CRRpEQQj4vEE4BwBMMpkJnfIv4n77IjLIom0TRYL8jEBV7QvW3I+LWD2U821HB7hUxuspaURcQ5h+gmmc5rbgzao6KYJCNTrABARlUnaURtUqyKyy0WC1gf1HWYKIva9Jzze++9hzOjRbqW75f6997fZC25Je2YZAYQtLxBt8SP0RNwbxcVEWbOWrXF0Gn9g49FjGKARcmKDhXJ2krBzJKG3mkbBgCzkp4Ed+b9AbAnOiLwRUBxIWg+m80Y3ormggQ/gVkxy6w67xcWOevgCDxPd5/6K5rUFqOdX01+bG8ha+2QCwl5g7/f/sV75LqS+2ADJW9alVBgCAjjUk0uXrTJzOlo76ozfRB941JhrxH7w32yrtM0DVoMr6+vQwiQgEDMHkJ49uwZHvVisViv16hwNzrsPucfSPm5j89FBD2v9MfcEXx6TokVTLW5YBDSRcNRYgRWVcUQ7y7GOJH0v70Xfr6rLzeyqVWciPMSfHJhU8pmCJLjP+zqdBRaqcdDSqkciohzIkGcSHVSkuQsJYtUqRLSMGv8xdQv2mE6mQSVRKEv9KZNwuskLLwRIv80FMxEg+pUUFVHTHGdr4A7JaemlkcxfNA1UsJpA87ncxrAqMOrsesRrOCqgENyb6IpCEQw/BYxEEERuMygXD+Ep9zpCE+9Ij24L9TtAJ/ADeMyRATxKHYlaoGTyYRdy9nUU3Ba7/1ut0Mt6ezsjE1iWGDA5KkE9BaPd9cR4ulwNdCU5PukjGj4CP+jDwbp1h3yapkk1fsTMtHwYPcwPwO7A1sWVK+LeQCSG7ZPwAAxXRuPx+v1ejKZwF4TnwkhwOeFEKCbtVwu9/v92dnZq1evSgm1/i9D+f9COHXXsTzpTQkB14kLI3VN1JE0RnCVfhrlNG5dMWQiGlYaC69dU4POP3MGGyS0wtId8+xaa9tM8vBrx32T0hGR5mQyQcWeexXwHaE/dNYTf+MFQNCA1gRPGDIFVVm1SJhoVooWtwZVh+JOroYWxBVi3RgO5ka85azdwfFNGg6MsZIZGRZCwNxdvhouUdQX6f+8TvCAncJJYCiLHvjD2WyG1jGnB57nYrGAdAA+jEJ1COG9997DXF9M9ogxAl/FyXPO2+1Hu42fzJ7hkhrTJGrz1F5FusVwRlC7spEEQw2nnNtqMAZRADml9ME4PO7KUNzNsW5zuznWTRVxXkoRV0p2610VJ1KClCS5SPCn4p934gJc4MwP88bNYnE1hypOOsID3AjOEGFo+mkfuK2Yx1fTi4mHyRfqtJPPKXYaQjgee+/OU//Qy8VsOk0pZXdqoUMxBTRL7o6+7+GT4IPB+7XhGtAphFCgQWG2F7wawFK4GdoZhFCAgqJSrPFzQNk8m4jQ42JnMe+sWqAFuoBu6Zwz8kunYtwoReecsZAOhwMq0LhZ/Hs6nT58+BBx7Vs83l1HKLpnrAkohkTnzVTV/5kH3SF3L7MfGqaixELRXQ22Ard0NTOvcRfAebDggjYpcg2xxAKmMnTXGm39wQUQG0GiE2OcTqc3NzcQQ+n7HjT64/GY0vdK/Xtxr0R1A7wqOxBhEw1ybQoYdG4Z7TX3dtH6Tava9lU1epgg8pxOWTN8szAcOCfLP1GbGUht8H522P2boT+xLufz+dnZGSupUP+KMSLqBBUNk62ApDGnBG4zDAOq7vRJ8/kco7tyzqhYNKoRjCeDGyGpwRtKV1IFcJsHc7m6+90XuNNgugu8IWG9dnCl2UXolOOeldxro/VkxpoDMC9KyBQRQAjOQNzee4RcQB0YmkB5Zz6fX11dYRkjmYCjYscqgjD8FxUjXOF2++F+M5rMPu/lNAER74UbB0DZoNJ6zLRwNq587nS6EAZSXjtbaCJORIxaz5t62VU3dceUt7XZHGV9OGyrr9WJFxEvzsdQR66GpkyijKLvghuHNtQoBcPA7yrfQP+ylqsHI0NfTNW5KmoqSpojwFOVHGtjI6aVpwbzU/dqJ+Vy0j1xMtnLnkEq6iZUZ8SaD8ohAtohSkW+vb0lIlq1+oCwr5Sy3++vr69RCxARRJMwREWZbiml29tb5xw2lIhQdRbAKSwG5GBAus45I6XDrWGpwCIxXsGWRAkD075AJsICw8bEFaI9ManYExx/97bH08s77gjFzKAQ9YKETf5FvCAPp9VvHvBbWC6vdR8GHZVHUJfQFvEorma2tWE/w1LAX6LKjU2Ydags9NhEkwxKP6xWKxFBKbFpGvhCVLBrrX3/ffGflXLllfrIBKKasWTY7ey3tYifzXqZIDKKD9pBjJu12YzcV+NkGuqV98FtX1S0DCBSyWd5+O7Qn0Ba7z2UQlsd+46E5vLyMqnEBnBOhBfVAJLYuq2qjcOCY5tZyMiZITh8LLRx/C2sJNFIPgR3XwHZKXjOBSOmX/6NwIZNKKPOWCC4CiNLb1R1vis/k1XYFuLsQMjxSAl2ea1XMaEBpSLp8GekxZAR8d5vt1sE9aS2wvAB+EK/Gm58uVw2TbNehzzMY/jvKW+czhQDuOp1eJMNF6qWhImb0fkhcc/KRLUPMBt6ata6Gr1j492i9GcTX0a1T/22L8X5NvouSONOsjXhbqJsKUWqC6h8MytFYhRV58h9ZS4uoyUsToRQ5MUwZRyM3iEjS9T5nHPed14+bPyHKZcQIr6RZBb879nZGXYKxB+IDOOWV6sV7pr1V0Q5OE/V7mS0iiLfQkWcE7WAQGKdYxgAMrygB143Hjv8N3JNPMOLiwsyG9h3H2MEAFtKWa1WqGpjk6IajRiOmx2+HIoiKNvDAOLPEdf+cqb7jcc77QiLqZMXQzBzCkZ9XQT9L3UEpTuKCJYXf2UhdZhjxETEhQDiwZUCE8CL99p1ROs/Ho/Pz89Rtgla01qtVv6+/hDQefiA6XQKGiTMxHw+32zc8fhpkblvP8dmQKVhMOP9uG/x1dio2RS3g4pNM4QshuRNOGswGvNMDcv9DrmoQjZeGTQ4T6OKVvvteXCfwCXjD1HGQ7iKB5tzXiwW3JMIkF+rusUYsUtx8dXQXgCBwrKDvkiibzJT5p0hAZFUKWqRncHGuSr4b3o1Z+jyYsbl8KhfQeC96YjnQgpmwkBROgavGRez2+2gEo7bBy25qpgATiI6UJ53CsLFarViOltP400EuMJisXj48OGzZ8/sd4UQ1uv1+++/j2ijaZrz8/P9ftT3/76W/1LKlmAmHz6+lAEZHwuhCKcVRG4B5ughBA5GIMjPJ+NUDSeoMJOIeKmzRkRKrTnUEOLdgGjnnOWjcXFWFWslElC1nCaaxXpT6A1K/4naBAmyCV8o22ackoFHo1Gtseb3vHwsEva7E8YI0RaEIID64TIRBbZtC9mgogPUis4nAGQNp4KFja1KKSJUf5HbIfmG2UHYitwOtRXwaJAvAg9g2OFM5T6rJiUiy6DVIvB3YH9WqxV29KCtyYiGkfkhPUCsA6ksPHmndBBGJL+YXf4WR/jjP/7jt37Srzv+6q/+Kuf8xmH3Xz2wgTszw89rcZWP/n/w9f4yh9fiuRiepGjYSIyrauuC1yI2tgQiL6a8VYf74E9IxABcLiKNdoIDSfBmKBJ2TmO0sKvC/QiyYowljzfrGJutyfROeGZRDSdsOWvWWem06WDS5lmmwjgbuwWKkkp4kUmVULhLmZ1U04ychrK5fT/4J86dlLoI49Ra8Y+oZDw4Y+TN4M0Sfowqlsb1g38AlJ5Op8hgwNLmK4AvROO5V5EX+3bEIOHw3DTBjHDx6BgoiKZ3XBuvLeZyv7IIo0Piqzf9OdW0w3vT0I2fAHWwq4hev1EVWZpmWlL+A5wjMcMpIWlUFRMDukD+dlFaECKSqL10KSXnQh7Od7vbpu2Z9lXDwuWTgZMTpdLwHonWisYc8MdFuz4s7YtYBVdjuA9aZm1FZcGSjG6Ldtqk02lF0L6CaHReeP34Q2K5HGtlk1TRwm0IoW2nXj6S/GkMlznf0ZoojNfoUCQRQSMdFjafjCiFEEgpPoOtiv3lnEPaJ5pWep07eHFxEbUPG4sfWC4HcuGAf211ZHxWUl6js7uDaoUzAog6aQv7DjAAVgusED6Dxidg+Ox0ms1mDadxaQiOYzqdfvLJJ29EUH7p493NCGkdmB8w7pP7mrPv1IEdBXuBsDQYgJRAKH5CD1dUOwYV42q6i5DBIPLlV4jIxcXFzc0N0Jvr6+uLi4u2baEGstlsWGbDCga+Cjh+GIbNZgP6Vs55u50//fzhbPl8vjgS8eAFe6U2NKaRGYEbMyrYx6TKBl5LgFXH9uJsFoCiBUQWCHskJp0yhr477j9u4hhFKYiFVoMBomYAhHDQFm+cEwQ5OlRvBKJIJ4GxBvWRgBU2NgkILFOJkRtlxEMD57XMZl0RH2a9D4oy5pD7i/mNieBr+aJTFcBqZjnx5/ZbRqPRoL3nTGJgfGnu+WFWYtjYWkpZLBZN01xdXYkpv93e3sJU7ff7xWKx3+8xygpfh4ux6qYxxs1m0zRtm76/23w+X16LDvnit3vTUdDoTCsmAUVheTFKnnytTnvvmMxxTzHuZOgJOI6xNX+bVBBRFAVhYJGU40q+sTVKXulI1QwMwX7J2jvrVPqq6hzpcJqt3Un5QNJHqUjbNsi9Sil4dGRswkngG4FhsmYBRBHaeNgUi8UCt8Ap03inzjnYECCiQXUVWMJH+JhSArkv6hgTkMi4CwYVSkWqB9o2/gRvE5xPxt+sTCO7Bcsd8SWACmy3+XxetE/Re8+UEWRD0fkq8I7ubWOB764jlPv0gaI9OvImHOmdOmCkYGIAOQbTWy1ayrbwC5kCsEGQAhETxlYF4rBpAWUsl8vj8Xh5eRljXK1W4/EY5fFaK+rM/FtRGjokqmHRnJIpdrvx9YvL7eb2wXubov18NDS8QgJBcKti/Jko9huVd8MIrmq9hNmSTTfxQyS4rU5ZYqyQhvFw+G4TOxggeDiU95ENiG6PaubFwNshvcP1Y1czrAa8w9cB34mQgm8QnpXJSqPj8RBf20KRqPW0yd9Xj9fyP8I7ry3y1xLBb1jqUcceiVHx5p/wCdMlsG6N+qjTaWVRpwXxOp0WvZqm2Ww2mOaBylNKabVazWaz29tbeh0QKPC/kPrr+/5o5piHEEA9XSwWV1ePXr2M5w9etq3nLsBByD0bwe5ynxZbTQGbGV5Uqb9BJQZh2RldNUZHxoYghB9o5b3KmovJRAljBhXuyNqpYt8dlk3R1j26WyxsBjSns0nr3ZM6PHI+ZqmAK7EIkdWJIVHDhuAfiIxB8vIqAMSYDDkfAAzi/6K0c+KraLSFEm9U5TwC1OhYp/weQWz4Y3Zw4ZmvVitcG4In5xwoxN7QOODgIbMFT4/4AKgvRutQlQ2LwTnH+TBBOeQoGbIU8haPd9oRsoxUDbZDvOJdPkBgYaRZlTziVV2J2Au3q2iCeJL3TYl9hMSpkpnOgzQoaHUaCMx8Pl+v1+hKHsyAWafCXbVW9Nuxdgg2aa31cAi318uzyxcxnhqJ4Ml4Hqatoq33Xhvd6AUt9DQY3RPYXG9EpBol04NUhmSU3P2cS82PgnwkzYmOD0QU1JigDAuAKlUHySLdERFEmlUZNESBsI0JnXkdI4UP48CzhR0nydvpeC9CbVFpJnT83+wFbf73RlCUXg2HN2SrrzuCMpL4EwJ63vB+WWlGlN2qgAMiiUa1AsCk99rVg0fqvb+9vQWWzhgLBne/31POG/0qBMS8dtSBnEXRV8h07ffNcXfeNk+d2/GxW59dzVGMMju3D98gf4Vlw/I8KSpOQV2vnBQsXcaU5b5Qhte2vKTSifxVVK44bvD/Z+9dYyxLr/L+d797n1P3qq7q6RmPx7YyxsYYyzIygREwxAFsBskyFxEkIIRYxpYIn0CJFCdKoihGKEJRZJGQyBIeCcUMGMYoxjFXyYhBijEOwSEXY2xs/vaYmWl3V3fdq87Zl/+HXz8Pq0511/Slqrq6eq8Po+qaU+fss/f7vmutZz3rWWSN5EyGWBtxwh2gGPVJagNNadiOX1Lmh2fnFylJ2ol2XQfnyNu8lk6NN3KhDhmDlqzwlBLsAfOW67peWlqiRQFZf3YHUlNe+Z4l4ubjsiw3NzeJF5OKx1ktmySOOzs71GKSKDOVOna2traYd8Y78w7MgSFxHGga+aVLl5DDxRm7VcxbjJs5PT0NGzznDNh2H2WEXYCS7AWL01oanDC23EjzaAxQ+ISKYbhfQKrnOKixuLBSLph7tYSMnbiMRiOYIzAeOW6QWaKdlhU5Ho9XVlbsqwaDAfKbuCgW2dbaVxXp4vzCnv0ESEjePyOwDBoxnSaLdkLq2FdmZ1CPdCRuEDWlxP8iSk0KBcaj2TL9rZRn29RW1d/0mNM0AroCXMOfW0hzaWmJRBZtXgAAIABJREFU7YQqZtu229vbKSVPX3KJi6OcoyFLPipJ/AUj5J+dnSUsIJssQ42zCwqoh3jBbn8BLGY5Boqjpzw8EZywLCA6hfEOsabgJ2VokYiKx+RghSiBtK8S62RPgxJZWo3knq9cuUJnDpWetm3RMeGm8Uo+EUAbD8HiTNfCgsHe9ldPz14u8l+3YlpVVTXS7KFWYkb2RvaI9vSFeu9aaRX5nnSBzGJXl0Uy8Nq2N/Urk/LygaYBt6ptdwHr438ZD/D1JIWMvlRff9d1u7vN3s5KWz84Ozu//OA5yJO8AAiaIAy9FfdidUG1nM3oW41kLsHNYDCgcbDWKLTl5WXSRyO9LGnOkKqqaAAlrCRwJ1Kcmpra2toi6eR6BhLmZqGSlrVtixoReefCwgIhCDua+0y/B4dGrUlwWWUFGDGEEdwNap8EnThL/u/09DRpJSdeG4S9jsROryOMCUcOTI27elG3YKV4FhjbshNHMSaFKRT/vaR8upEnteoq9b6qpWOEjh84w/b29vLy8sbGRlRCAadqNaceCU02dtM0HGGAGJcvXx6P2631lzb11XMr62V5rfIUcR5HuD6AikA9d9ZYar6MJV2KomAT+skawvKD7trp0c6FYXkBL4WSL3UpPrEsS/jcc3NzMDXsjF1rRGgNrKYTOZvPGku+C3TFOGcnEalWU2+MoHInTffPgQyVQjnw8HTQL45OMau4dauJ4IQVKg124l4Ztm2kWtmF7lvyWqgQreYAoD/gUpCVIQkdoFdwFnNMs4bX19d9ypNPtGFmelLqPxgM3I9IVRjwbbz30HB4rhx8oet22jDYxFUAu7RCaK1TsSwdviaIF05pQqfXpPFtGw+x1GihFIBlV7gLNTwkqRzYZXJhcdX5Txq1rsf65bUwty3X12Y31xeKopqbG1ZV5baflNKDDz6ILCf33GUIvhoRmCMSbh0wY84ZCQj+C4TITVheXp6ZmUF6vlKzR635NkTVqBLCO+WY4rmTubKbCCKBbYm5a1GdY6RbiiDjUKOUGPfe3h6JYNYIay770qVLRVHw0WNNsd7c3ASiAIwhrKdykVKCdAqUekt75EXt9DrCJLfHbU2nvjR40MpA6+JsaoM080BNh0RkScEmSwr35rjS+KppjTBWiEZZowPJppAnIT0zGo02NzcZaj8zM7O+vu5Y2xseJcmqqi5cuHDp0qW2bfd2lrfWl+cXLw+HW12QTPMTMUDUBIqsfVUlqQsSgkZMwliLctG7ujaGpmzrl+9tL0wNh3gdPD13phT/bawGagZXpZT29vag+F+4cKGqKkhAZDNt23JApJTY8FwAbXAOL6ampgwD+stysnvETA6FT64/LsVDXFezn/kSvaAfa3yf29vhRaDPlKKk8261GFu1ehLAxFiZKNMaMMzq7K7UxOkkYCyRPz4IhBnYs5VGICcjiXungZEciPPz88ZjXZGqqqqqZnNeLvL/N26+7NzRYZavkyvnMSXRLmIpwcGl720jscM29B93EplzZJCCymD8W+eFORSh/Q6tOlWmpFoew6NBmDrSNMVo9/z21lKZB+fOTddhvgT+eGFhYXFxsSiKl7zkJZADOqka8e2SQAUyIS7DQW1ZllRJUkpQBDgcuq4jTMGf0b3QNM3Vq1d5jnQhP/fcc74/WW0kRJP8BlY2uruNGiTodc45oyBKDEFYGdLfXaL5seYuubbFDT937hyiysAAgzBdwPIjxifYp3QoFmE831HZqXaEcbHyVO72Fd2a+XiqxGtwZOdqhKnnjabDDzT9xFuOzeyNMT8/f/XqVWRnHSWQQuFcTSqjuYKLIbsq9g89Z/8URbG0tES0yPymlNJob9iMvmZqrkvDL01PX/a0Np8FXSD1+dRrJSZZqqGt07QEZ2ONKBKgOjlX01N/a3frga2t3ZyvqVE416SEyb0q1atkOKttWwbHsC1BVPggznfCZPiNtFriBTnKW43FcHTSSc6GoBUXki35eD0v6Edw0GL+F297Dnimf3PnaIeXWaxd2RdmdSP4cOQ0Z1IHnpJ769SEIN0TIYCqyPIbqcISrNR1vbCwANIFhgES4NQ/pQS2trS0dOXKlcXFRXJEBB+K4mtSt9IWn6uqa76Q6xlL9ID4j8KkF55DzDKor/F9W8054gkW6r7oVKrwuT/SCLCkQKRWIxCps+XoYrrjGC6LIDoR7jRNk7q8t7uyubHUtdfSJta2024Az8FgwMokeeKyyds8IMwgbUoJr7ywsMAbDiTp0IoeRfl/Y2OjldI6W9KC1+7DASvKaoqIHp0QcGlpKWkscKsiJYwVvosHSng9g2/7cRCTZY1zIjzlr5gxbvwzq2+ScmAVtB5TIEs61L7DzTK5d4727Y7WmutxCu4tK/YTZLpQVXKobiwoibdtqCel5FjbSRWqRZwjZEi8IWcW65t3HmgcKK8BZLePbCX3zpXYiSYtu67r9nar4fA151fm1zY+03TPjUY7lfRNUmCZZ4GiprdlCYsnUcyN7XAoXANVph5ZmHvd3m7a3v5KUncXSQZiS6i94JZ8Xps3RKY7VKPx/Py805oudF6PRqPLly93gafK4U6w34bGbScQaGF06t2MuW8hdXL+eXg6yA/xuacDDvK2E8GD5kM/poM+wf3pBv3wLiwYZ1EpJSAyXCP0wpFGVWxvb9OC7YNpd3cX6gRP1s+9kCCZIT7cGHpdPESIHtPT0zPTD+/szOX0paK6zDUQzyVlsS5mw3W0t3OjURnUawtB1ml/k5/vs+GQSKvJUsHu1J0ZH00XKuVdaCJk0zXq3yiKom2L1L5kb2dlNGpzUQ+mr/UL0qUz1mQxOn9aadYA8PAV+ERKIfBiCHPZDoDYuMAkFUO4S56rTItUSml2dpYCJE7IjnOsmVx8cfbXWFoKXCpZY6kOURyV/ZABan3ra1OluFrfdkiwxf7Zpaw9Hmj8ZSfh+7IsiW4bCTFm2XH4gtPrCNvA5rpHvSBWqlk9h/a4iMK1kormecO+K9SPyG4k0QExgInH6k8KmvBkc3Nza2trDqbwDU6hSmne8wMHnMmcxn94DZuTw2tzc6qtXz7aO9+mF7r012X1N4SXHObhuYTA9m5UyzS5IImjWFVTU8MLs9OvGlQr41G7tnaFLw5d00lkobEJCO2n0Lqec4YXQLWfkiEukzsMgwAUDpocvg2QJ14/zrILg3WmNY/bfYH2W07f/RxvlA46dW7EXjFw190WL+YmzelmodohZ7oPLC85n/7mxztOaoOSS0qJ5Bh0Af9USVvHYRBObijtcmeHhUprpBGdpgB2gQ2nisDMeO/Rqenzg+EXu3StoYiMDRjc1HkSeh+4KaCdcaNVUjiqpRPr51WocMgNcetOIcm9QpILLltU+3U8WkmtFmoorOu6KKaa8YVcPFyPmq6rB4MSTAKmJTva3DFWIwEfg5DopeOSpiSNyyUxHZA7gDv09+okONWKSbS6uspNmJmZWVpaMlqehAMbsubyeLdiP1BcCD0qxBUaS6CReoEB5JQSDrIMXAHKkzDSuWNs2IHk5n3bgXk53LLEDeC7FkVhPLyUlIfPsSPcNafXETr4OvKT4uStEke0kLX7dTsJtx3/evRME3SzqIq1GnwIKcYLkfVKjFlrvKqB2Ql5LRwGL0aLkjOFg4C4kpkVGHnD7u445wdyvtCl9UH1Qt1c8WFRhpJeK40bvvvfeMGuTN1CKlamBy87t/TS2dk5QvurV69ub2+D3CYdZI0ExE1tbSXK5UP8ypUrID/z8/OQRQ0Akn+4T8A8I04Q+nkHksBwps7nDjT1l7s0sfb81PjnjXYjDjWJJcQ/J4CNI0wEJ6wInfXV/hb7Wn1aTRiM7P8mcSA9KKcUq4vA4urVq1nqPLwVYbsLV1mqAixdvCNnn5W+U1CaZswhbjKltLOzMxpND6e+em7hK213Cei+DmovxCjo6I4lslpIxs9HZCGSTq3p5630dPjiBhs7cUG5RfwJrsKKl96DpEq4hDbU+7uuG1SLzfjB7c3ZlHJRNFQugBYoAXI3BpLARufFC4OaWRI5jrVKUYASGhEtWVrSaNJOhO1W9Vc6E0jNZ2ZmVlZWvMyGmk7jBXD+/HluL1+HvL8NCrS4KHgrkPi4WkNNHFzeudFBekapE8rimpLctVYZEGDW3sbGhhFaUl7+ywIDcvAZ5U88Qju9jjCFbrMzYAY/O3EvXQgpJSZbVRW1gU59uLCWWUlAWAwoQdHDbOm6rmGIsVgvX7481IxGWCE+0DvRI13IcW8cOeXly5eR567rGhgHSioedDwez8/P5+KBrj5fpu3RzmY1V1W5KopxVY7qemtqOByNt0jmiqJo6tS2822z0DZzRZqbnp6hwWgwuFZYgh0ASMJBU6icQ/mEm+BaFBfAHSA1IQ92Hd6ZMb6zlRgKvRYrKyuQEXDeE06C/3L4GneKW47LMyh6o3SwC3T8Vgz4COkcE7wTzWvMIddYOlgGmnjoMWU0hEVNzpwUDrLp6Wk3BbJ6wdIJs8qyZEx0oY40TmRcFKkAXmpubo4Ai0OT2pjbEHd3d+u6Gg4eHQxe1hZfmpq6kvPIhYMkaoYdWwqdFX4oQBrOXH0cJ41j9I3CmzpONemD3+yFsdhGcZzrgw/X45mie6Qsztft3tRU69Jmq3kRpG4AHqWEYyjCcb4DVwDzdF03Pz8/lMYYrpSojpij0wgLVzSqqiL/Tinx33PnzhVFwfnAY8WZFWqHLVRcBA8YDAY08zncLCRbk1Ii+DBcpNz3b2L6LBVGbotrN0S6Bo2KYEn0Oly4N527NRww4YOLotja2iJLriVIcoT75VQ7wrNkRYDUvDg69TuXooEM1CqLhzNiw1PHRRG1edJ0qQbe6elpIuX5+fmtrS30pt1MbYAFoJ/Ylsuwm0kpTU1NwSBtNAcqpUQTT6FpLJx6U1OLg8HSaHc83iuu8VSHw6Zpmm5nb+viaLw5Hjdlnk+p8K6en58HwATa8qcMNVLKPIWhDEypqiqU58xeI4Fo25Z8EQ5CUm7BwcHAGk7znPPS0lLTNKDNAylpuepQqq2Fjyv3y/ulA93rxY3r1o247zzZ+OITcIHRytDuCVWhUNHawGCsdyYhMY1ku5Eo8mVz/1NKBvBBFEhWQO9xkB61s7e354oj6F/XdSsrK+vr66y0IvT50K+SUqrrem7uXNct5XJvUH1xZ/fZrmt5B7Ox+ArVfoUdgg8nDbX0vZKmVTsF7MJkN8derfp/OomuVZoF5uSYqy3LKhfn69GFokUYZY8z2vh8URSEEZ1Ij2yEmZkZeoW3t7eZC829aoJKXKX+E8hxvJVjQWOMLGPeJGuOMXth+tosi2sopYtwbDR7I3K43d3d+fn5y5cvl4HybaC1Ed2GuJwEnbYHolXYN6x2aHGOYmtpbBFz+27zX4IGiojjoApkx+m0nnMy1neOdqf0jvDkzAdQCkB8JTUWYrdKkzBZVUTTjca+s+bGUqJyHkklvFMTNDEUfnRhYWFzc9NVirW1NbschpKDjrKBr17dN613PB7DJsUFAtbjbxqJJXIorK+vU8UUnDKT69y1u12RhsNr3UtAPe56rDWAiUGvrvmxQyhKAeqOx2PmUw800ZStS3bIycL2GI/HHrOwublJ9QUviwA/6WCp7pEyTF1IYUB8GViIPLsyKFj6aV73KXPiELDHtz1hF2iL/tvCOg7JjVIklUKJS+xRas3I5M64ySzJF8YXLC8vf+UrX6nrmqfsbMxofxFGc8D4IKuzXnyjjgXef2ZmZjyqUnpl0Z7f2v6LtrsIr4IjFecx0mTzFCb0AgM4+rSHK0RB70LHveMAKDy8Z1IYZLAuiXqdi0HbrOTi5TnNzsyUTLh1mMtdAtybn58n2XUPD4GgUzo/I0hGuHnKE0Qh/H5paSlL68frs5RgG9uf6Bb1apolCEEIBwvVuU3EJfgjOyylXJiCuH8nkbYqjJLmxQze8iNLIgbDQWNrE/q0op5x/li8ht4wgHSSV9ab08SyLLlOQ9k8ArCxI99KvSM8UauCVnKjphxiW055H51jDUDw+ZvFPsV12QuyKMEVyUJcSONIAs4Cp3ICxFZEjI0UjQJG13VM9QO6GY/HRPpt2zLnj9SQSI2kzWpk6Fw4ZHbmxwpmEt7GxsZAo24JkzkEPVIRpihoJ/8kCTZw6t4yiHOVrGka9KLIBakrsL25aW1Q8ixEEOWYm3gcpbgzvNjhdvzzg46wE12oFZGdg2MoJby7ZTl0awA5OB/KUvjs1BvOSWRguZUEOcfWcDhcXFy8fPnyQHKaLhniw5aWlq5evcppa6IpiSP/3NraQi9ieXnZ0DFnK3ee+IZnzQTa3d3d7e16b++RvdHC1PSlNLxC7tho7qCPY9cUnO5UaiBhARCu2QO5PucIwMdxIXVQ3o0rbZulKj9cFheGs9O7u7td6q5evdpIE66ua9BL+xiHAvjF5eVl8kUCO6dKZMkkdiklCCbsC2Oz3gKQVA2f1JL2jnMbTJxp25YwhcAa0DKFmZpd162trVmPxoiIn74PH4ZqTUklnwtjyyNiBTrKqRV7kzhtNjc3GUhi/mqrRlUq+sQTPvRSmJJRiNkEanoce6R3hCdtRqK6oIZleLMTRbsMPXMpBK2lKF5m1mT1ZXMEsNA9nBM/hL9JKc3Pz5fq3yfiTiq9EKvSVQapHTeJWg2xMLW3CP3z51w2sFgKEXcVGECkaNQ/XOahZyhJEzWldP78eQ9RqjWQjPNlSgL8baA7IpTD5iEQdkpNTmx8FS2VTkolbDk6gguRv7Nm/tnPxWyjuwGNmUfJh9rBxGP02FbTzVpxPfqM3YAp7wTvfP0o9GUAAw+EpO1AU1ay+jSIRbquW11d5eZvbm46YqulyeLK4gMPPLC+vj4cDpeWltbX11m0LO+BpNiZworbKNL03s4jZX5FNbVapPXhsHT+nVXi7aQWS/7nhQq4Qh29C+SOpKlSKQgmOPsZDAY5V22zuLe92DZLu7uj4dLS7MI8WeaVK1dMHC01sS/6UbfNzc3NAVfiPFoxehYWFshv3Bac1ZhIoowDuHLlSilNqKSl6I3MIDYyb6AUdiv110YdpbAKSPsMF6OT57LfUGKHHBcp4PzDaxOjhkPJvlxrOB6NanWsOr8cS/iCF9D0Rb7IV8giVeEa+X3TNIT4SS3OnIEE8d5ZdZgHcFTWO8KTtoliYRJ4VYpb5f9rL+jScdKQB1ZzEbQWsyTBsuhesD2NyANqkRDQkr+7u3vp0iUobcSzViOrqoqkilm+nFw7Ozuj0YidxkdzSrrtCV5rKX4d5fcp6Y/zLfjl8vIyOWjWsHgCvaWlJYBKviBKwfPz8xBcO6ksOrxdWVmhqtRIedXJJZ6VswPf5hiZfMWFxqxOJteByuuxWtr90mj+ZSv6QCTRDCWqcqxr6ZaskLyDvYXrl7V6xdyygiPn4K41UctxupnJtaSrO7UrkDc8+OCDly5dQmIGVABvZME2MMDhcHj+/PmdnZ2NjQ2mhVgMpSiKjY0NzmU8DYg3d74qHpidmh0Mx213ZVxfaru10ega/9B5fxtYnUPNtY85ih+QO4hiCptSMajOz0y9YntzqmnS5ubmaLTOccz3unLlCslZWZYs0YFmtuAwHAsSrpH2EWjilZeXl8FdeCXhCLFpI2JLq3HBQJ2eOzE9PY0uNuuW7JNWfRBUGhM5AcBaiUFTiMWBbXkZNcVWOlBd162vr9s9V2Ktk9E6CZ6dnbW3Zu8TCVXiBoKgjkYj9jL4k8uuBuFZhJUGA9hl8nXc3Bxh1aP1hb0jvAsWi4URIojhZBuUiAsNAm2lRs85hf/wws2SWGQmAKs8icRlgJEdhTApv0ShrRBljtCPpjH3F9OB4PlQHC7E6W0Y4Feqm6IoipWVFfYqFYKhBoSyD0nIQMwImXHA3lGoTlSS9UopkYkWkrSYn5/Hz9XSzndpk13EMYrKGt+01iQaHLMHsPFBrRoG/JiiF4zpoA9cw0e1pLPw0KfKBUZzOmjvlXPmOCPGZ2mZn5XC/GScHHfJlTwSPtbGcDjkgE4poQK/s7NDljCSRiVpBKEMgYgjJHB4fqAsB14Kz6KWUHh3jduSh4PlnM83zaN1vTc7vb6+8aWiuJqra6oRQ6neZ01mcItqKbJl1ojK8Xjctl3bDEejsmtnBoOlqeFDC3Pn6rqemWmvXLnCAuP68fd8NUAFAj4CTV5mWb5OardN0yB56KCQXgh299WrVyFnUmtwOdPdKaU6lNj1FDL4Z1KCVUjCycU5PouIsBX5hV/WIg8DmZi2zU0G3XHPKLuMY8F4eJaWeilGbiOhWpZHu5/BZCCHRw/KGh2bE/RBGANXaHoo/FsTbaojFZfpHeHdsSpQ3ZKarvAiPHU2bRJZvJBeTEQq7P+y5gHVojVDcmkDrZwq+tWrVynksBzrukY/Hi9F8AUqNZKQd1K3sjtecdtjTXyF9wX62ommD9WN847cIqVUliVxMdoxJFJAQ3Vdg2qWGgxb75/0u7GxYdwY3g2erxHLFDcMKMR5DeMcrI+2E2erOWdcb9u2du2tKG0u8/B0ulCCyqGoFh+f/+SUYKGHWCkqUB36eQgOOjWwZ/H3WGbEK47VHFGxxra2tkgpGgkrc0wvLi4a20gpjTU5iCJZVVXnzp2r1MfCG165coUD9OrVq8bZnJRw/OGK9vb24G1Rrh6Pp5YXHxiNRnWzNa4vtXl1PN7p2r2iaIsid20qh4O5ueHe3k5zTY1zKhczOc3NzTzU1MOUh+Oua8c7o53twWAwKGerckjRrm1bkrDZ2Vn0/JqmwdmXZbm4uAjk2GqobJKYQ1mWdpb8SSPWGyy2aQ05YoBaVVWua7D+l5aWyAtL6VJ1XYeb5J9+EKR6xmkrUfBw+eZI0wZaqZve2WShlvlOBZqBlD9BBdiYHnOYNbK4UO8ym4JHPDU1BSTLrsRAj5og0OifKw2QSRrPAjLhrqpWMyiy6sHdfdVHeLbNAKNXRq0xJUmSfQMJrQ3VTpelsmiSiykDWf3guJClpSW2irOo8XjMqBQqha7Ys/ggAQKievAKiRQrm2u2RCR7EtSFUNRVw5wz01mNEfHRcOF81AKtDDVBhtAV9zbS+HLe0CqXkDWorDQakYMjB0hJahQjzmV7b25uch9w80BVYEEkvhwBRmAm9hv+3sdBfIiFuu74RkazT7llNcbYF2bpy7AOnQdEiiOYFQPQOTqJXeq6BvhyCE+KySpCLYGjkHLR9vb2Qw89xBSR+fl5d7C1IrMMpcFLKkPOwYodaYAfaR/P2rl+URSpmxpWL5sevmJ3d3cv7dV13Y1TMRiketiltLe1QWNLlRbaYmZmbm5785roTFW1MzPXprePJcLgVcrGgYzqeUCIvJD7mqTGAiPISxLByRo8W1UVeL5PdqMpGOAEFUeozpWmrRFBEivjcqCGcXNcc2lV4faa5K5mDa5isxuIylIVd1U+pUQizp6yAxtJN6pWV7sLDXwXP5pK4lZZkgsGxjs11HuLOYjn7hFgsemAxynk831ZmUebDqbeEd5ds/dybtGq2kf8Sz2DDc/KIzU0g2YCaQSOZ6uAuqDGmVIqigJeGbMazp07d+7cudXVVQBS3I9JE2wtHImlswD6gbYoH3LxVrLgNTgtUH5A2vPnz8d9QsRqen3OGbZnofY+Dhq+DpsQys9wOFxZWQE0I0jkYMKPckJlKXFMacin6aO8A/mu66BOWYBJi9A74QBlvF8+Pz67LuiSlPeUBFIRBK74TdakTNyeIVCeHREDdAbutjmEBAcGzUhrQOM5FskRH3jgAe7kaDSCbGmuchPEJfhEytKER3TdASesra3xbimljY0Niz5PhRkUKSUXFzc3N1dXV+nAoZy8tbVVFIPNze3xuOlE2soiXjkd8U1ga5DvgnyAEg8l+ElA2Ug5hQjSSEMS4wPnR13Qi4do0nd+Z2dne3ubP4SqNtQY6jJMjMGjEM5SJuC+ZVlKiQJ8JQV50wUcedcaIeI7wPbhI6owU9BZWlZZgQDIJUM8H3fMJWfiqoF43dRicOFra2vcOpLdrJo6y4N9tLa2Zk4fhyF5eSm9/qPdDr0jvPtWhmE3SecRBzfV+Jzzzs6OWSrkfGXog+5EW2BddqLC0ymIEttYI1jn5+ep2FdVBUUTaItqfyPNKrZlSgkqdkrJvC+2BDQWkBPOx9FotLCwAIJk7OX8+fOLi4uGXln6bPUsIoMP1pSS645ZZVFiQLSDFxYWkqbfQW2lANlJUJRtw2k4JVlnbhcJCidLFXq9Ob8400244Ma26u9MgT6ape+cDoxVOsFVczTme95JE8QpMs9oSlqUKSWnI6Q4pAvgk4RQxBw4SLsoNIl4KCsrKxcvXjTvg3PWNE6/IWEc4Rd+aGlpybwPHh8Y+MWLF+lDxZ2TNHAoLy4uUtQcDAZra2u4fDZREvlwdXWVuiaRWaM+kCQOURKjxFLjrJ/l5eWkrUobrrktUGnIfQ0jFxrsVQR5buIAljrpsgNN4Jxz587xnhCeue18R+KPaQ3qq9QpzzqkazOrYtKF1kCDq3ZarTh69poRL8Wv23eaX1aWJReZ5OnHkhACJfJ2sOtin3JYEYN2UrglIiFudpbJPTTRCcIBy6M96p763hGeCnNcZnCPheIyA6uH/TOQRH0p/nQrZo1hpVJdGdRpkDvqug6pC3pdSylt4mkKCSJDJCsCxQ4/QSS4urq6trbGZXD8OaJvmmZ1dRWaaEoJ1Gh5edmhJaVHdmmtzn0KRbhw+pnw2aWmWMCLoU2Yrwa7By9IvOlDx9ElBzTeEXzGTE4OC9x/UkWnkpZH0ikZsVDuRnyNa2zpXp6OkgQ+N2otRzuGWIQogfy71HDwlBIJihGtlJL5Vng4sISBhuW6RxCpyYsXL7JaOI63t7eRvoPYjJusRJo3a5Q8bErqMLgfhm7iDHx6tm3LmxQaRtHPL8/nAAAgAElEQVSEOYL0L0KBxmUS8HHxSeMqvZzYOBjrZKCJDeSmWSMgCunjEz+xN5HdoShI4MgusJltZKrk/Py8W2kN9nSSAs9qy2mahriw0bT3oYSoOikkEHfWGobKJ3I35ufnXQ0xvF9oUFQKZDHuKvgqhICsgcBZRGILTnG1SAFM6BgMpEFTiJ7Ky/grohkHCh5a6ezckUqfEZ5xyxpZnrT4OLVJpNjwneSgCjFLa+kP+U0gyKWUAHZAlggD6R00jsTumpubQ5uNFA1/g3ekGZ/zi4+bn59fX19nujQ9hY3mp/jMIgUcDAYwtolGYbu0Ek3lQEFTfyCONddjXKVVw3spCYy6rrkJKSXATA5Bb/4pCVmllEgZWwlGcxbzrQFLSYunNd8nBcpMUrO5s5aIi054wSOvWJykFUH+je9Ohc9nUJKoZiXFPlYXIHMn2VJKZRxnnLA0zptRBQfqgQceIG3infnQtbU1So+c18Q3U1NTa2trnNGrq6v0Bhi+A6gARQcaHaqFvyiKnZ0ditlUzc0sa8KgQWI+tkYW69JVXtYtDeOdCNvAAywYAkHuIZsO/0Rmhp+oRPBZWlpaWlqiBdNK03Cwu0ARAJXhu1RhJhH7gpuPH2rUXdBKg97JfRP6j1MY6Yc7Saq/FJLFaDWbiUhlKAU7VgXPdDAYTAxgqjRzppNGj4HZNlDis8QcDO1WEhmw/ybuqTTyYiwNuaGaJikws/BWV1dRGz7a0PMe3sBn0pwappQgZDsQw1XgbHymG6Azqum6AkcPi5hpqGxm3CoBV9ashtnZWcQ8WXBAW3hEcNROQtXst9FoBN3UEBZRNjFgWZaIiw4kvDRSxyEXX0hTG0bAcDhcW1uDPWFcpZPAsSNuTgqSQkJLg1oui/JuDqWJEhx1Qm7k+htRHIdScmqDFnPSCeISyMT/8s/3bi5oMwo9lE6QG7RbsRNLDWTnQTjf8vnFClxbWxtLrZuQiJVDszze6+GHH7506RIkGlY4vtAwKUyolFLTNAhg4j9gO3dqPyjClGlaF+bm5kh6OJHNI0N9NwlrefDBBymWg5ri24jMaGdsgwQa2SH/Fw1CjvUpKWcOpeFXqZN1c3OTrUfiBTRCIRzgEY9u3BK80QPFuJhW40rwQD76W7VUpQAFkfmlQGA2yIG3dn+UqxJ8a17MxUfwP6sdmfC0CgovKaUpKf1mzfEwQ21Kk9QMYtmnZqmncoyYXdVJZsFViaweVibhcA28fjweX7ly5dFHHz3aLXAEjvB//I//8S/+xb/45Cc/mVL6tm/7tp/7uZ976Utfeudvez+bAyvKaeh8ugDml1XSAKw1yHCiWMj5xeGF6GjW6NGsme9ZfRTT09NgnjjUlZWVLO3gQnMBU0pwBF72spfhCLkS6kAxQWzVaGgErFJHoHsq+Nu6rpnEhNd0Rz8dUTFFiDXRVvOySW0hyESdAaovBM7ck1LSyWYPkSm2oUfQVoTZddHVdfvZ29U9QhN9USO6T9Jga0Up5GCtJD5HFsKDNlroAH9hYcHgNqUyJgFdvnyZ6iOrmgyJ8xFCbymOTK1Bg841eZQ7Ozs8KdibDuB485TS3Nwcgp+8VaFB6m3bAttOS58Wqo6PbNab3w1eIgvMM6ToRkWVhoQMnLYR6REfRgGSAJSUms4KE0Na6V+ztrlpDN4bqLvcPsZxCYlRSgm4tZKGS5I4qpNIQj0joknTM5ImS/MECUeg4A011GKokdom/riA56SwDQM1jV216nMH7MlqvGkk/1aq9J7CoPliP93PJ0wT9GCBEMZSJmrDIBdXf47KjsARrq6u/uiP/ugHPvCBsizf9a53vfOd7/zN3/zNO3/b3nCH7K5WI7khpHQaKMo+zGJXElXV0nQYhDH3BICU9NgDLDveuQyDdVhwW1tbi4uLxhLxc5UG9aWUmBrjQvfe3h5DxSCgcxKVanwkEgcAweGV4rldunTJG8xgbyf2RCl2InVy9swwCE2Z8FJo1g/Hgc8pzvRSLADf2CzN1Rhb2P95QzrzSPsR0XSv0URf1CrpzpQa9W64uFGf61D9apzUSfwUbtpwOGSonsWXqerFUeO8+eLiotN9bjXtCjw+iDD8sguD63ClvIaCYl3X586dgwhNqIcbm56eZhSRo6X5+flLly457GOl4UVw6q474FGYW8L+gjJKkS9J/WsszVJAUYrQECPNUsbTMFyC0jsNdr63Dz74ILVAPqKUQnqp1nIDyykliqbcc7wmRcdS3asEdp10btkOlXoKk2ol3E++CwwyNmanHkG7sbG69YkbDNLwXFx9zOpgJl4ZaBqzKzhmtHp38wI+BW9XSNKoFdPYtRiKuMQocPQcHBzZ4r/zt/jO7/xO//yP/tE/+qEf+qE7f8/ebKzC6elpsB3w9GkNOO3CdEPI360a1ZNoIERPheimbBU7Pxa9RTdwaRwNjOeFmYYT7aR23WnSBVgrZ4EvI4u5SvEG3iZ/5WIGu4XCIX+LClQWgdaZK1vd/q9SCzbRN0Uj7hUnCPzViMywD7nIrEl1WcoA/C2flW8sKzrhBc9MLhitlNp4oQ5rV8I69aRaGwFXUWiOAUcYY1S5V2ajcK4tLy+vr6+3Ggp44cKFsiy3trbI5HAVDA9pRdZn8eMR8YVt2yLUQpbmdjr6Vj0mzCAB/9cd8WtraxsbG2NJXzpXM/+lVONpzhn1QYPq586dKyXbhKsGsUgp8XGgjsyaB4khg3RAZtonAcfKysrc3FyhWRPcW5YreCBppeFHQ6O8pxv5h2FaiNEgMwkGag9NQvtNygXrdvrIyyIkzgq31HUOdBiH0W3Q6uvUj9+posyza8RKxelyP/mvY506NEzzt/aL0xqqSih8HAHoEdcIf+d3fuexxx472vfsjZJY0zTIhyJ4YQpZHWTjiWrZP+5N5geD+BwNQFKsM6LsMsx2Qdtibm4OPV9HnazpURhLbTXCruvocHDPE2jtWENKk2hsVBSSBrYRNdN3wWnbaYwOXVkci9wBTkBuS62Wx1jYaKRPYUJHJd04582N1DdSyA5j2ucSoH/fhskV6Yx6wSTiDAcZEZKTFU6lkRTCkmrYxCtEP6wlEAt66WoJZRGBeVRshFvJJAh0jNc5yWBl0uST5HJMbHEWSzaG02WVcuK7PMwpjOPhkHX05k4P1u3Vq1eh+UBkZU3ypdzOz+s9ENTgHh8NdjIcDiGC8UXwCiwkljEUbrwgIGdKiQproaL1ILBJWefsiCkNcLc2Oq6F7uEk1ozxbb8hS9oVh1Ik6jpIcxilzNKcShJQbMM0EqteJBVonNG2ErXBGfMV3HjDc+SGZEmTZ8nd8YmNavZZzYteUWn/oNAjsZtyhF3Xve997zv4+ze96U2vfe1r/c/f+Z3fef/73/9Hf/RHh7zVz/zMz/z0T/80P//dv/t3f+M3fuOQF6Nj1BvGue8BQ9S3jdSXmqHj8ShbW1sUTtyZAHHUnbY4VAM1nFOIdwCesBZ3NSOtU2s5Z5bXtKl0nB3+LFg2teYOcmGddCUM+uPwcs5W7wU/IQxkmGJZlm7kAm3zvjWqllRySCmx5Uz9IF0wEGeUb6B5irbuenTQdv/8pruCiJ7kXnB1hyfL+vGjTEGYhkLs1tbW5uamU5+s5hM4mUlzEF0wbtUE5uPPp2GpgUG1jHUFjEkguLa2RnDGOqyqamNjI6XEYl5YWPDCSymtrq565EIRWPsmhRlUrKrq4sWLnko9HA4feOCBSv0VRGa4SXaQkXmUUCD+4KQHQYUAt+F9UYfZ7vRXXLx4kSwWRIfV3rYtAgVmlIA6AtvWkqkzDLunKaQRNMbDsafM8XExZTgc8r1S6JQgzugCq3NPEz1TIBizv0jH+S4ORjsxgNpApXESnAQsZ7HhOnUoxr/iziRFonDaRxJpa9uWPs6bNDePHmI36wj/z//5Pwd///rXv94/P/PMM//gH/yDD3/4w69+9asPeat//s//+Xve856b+VCMRpneUkrQz5CiZqcR/bmokNUvv76+Pjs7C5mFOG52dhYJbOAg0jhaI0BOjMDAF9ja2uJwmZ+fb4KQrudnFtIgbtsWyKgTd7SVdoybNEgfa4kmwyfkaJiengaAatTIz3FGA3Vd16x4vtdQY7Jb0Ts7yUFlycvh4McS1nGnfCeSOj54IH3wiZvsnZmU9jWBTXq3vCB2knuB8IhMJaVECAKk7K6ewWDgBnzQRVZLqY5D8EOKPS7w8M6lJMoAD/FenkNiMJxeTxwYDmas9ll7U8aH7e7unjt3jkiREfBcGM/aWZQdJBuHpA0wlj48ckE6cCAhU5RC6ARfTl5L5urB8XgL6nZFUaysrAzUFAQ8Q6GLE3lxcZGVGUsYvlS+BfxncynJXEmFs/RfDO+7amBqd6dWwk4zwvgTCocuLviJO6klgeNAMNQUUZOYPuI1W1Fgsqa7eI+UYgmYCGO4O0s5pFGjZBKz1CNx/BpaFYHHk7qkjnDB35QjzDn/x//4Hw95wcc//vEf+IEf+JVf+ZXHH3/8iC6st0kDJqKbiuzQ3RS1prFkKUVtbW3NzMwAJgAE1RIJJP/jxDGVdBzEjdhygEJefJRzID6AZRlryuJVu6ofa+x4x1o6gWCzzsZMeWXzEHQP1KGBiFRRFMvLy5UmpLeSGh9JujAF+hmhcdZARCOijo69qw8GiS/qBQ86zrNqpYRws1T0soiFBjyNyfMgOGdJp6Y0BZfkjEePj+zUdkYzNWROwE+eKcvJcQx6IjjRSuNZwP+HGpOC72w0M48Ya6gBzkkCOpQDCAcLMWUodrJmcIFcf6VJZKxYfAyyqCZj27W4gMd7XrhwwS7Q8Z9zMgqWRVFA0sbJ2beZQ+v6QiXNcRYz+87xgTM/XOlwOCT+KNVN0YaWdpMtDSzHiiB3CRBlwlk6Dc1Sa+uk1e7ynnfxQFPPUkqtpIxLSXz427FV+TgOBAM2hN1DjUT2HTaj50UzvFu1I9jYf/Inf/Jd3/Vd7373u5eWlv7kT/4kpfTGN77xbkXNZ9uyiDNEu7goVqfhEROpvaroBWzUe8uxNdBU1aqqkM5ypMxgBxICHMPa2hpehO5Xt/TmoAw3kMK9KwdZXXqcUIZYGWw2kIwTXpMdYly01kzduq6dcRp84/dc0kiq4haA9gk+FVRJCxG4J8JbWxOaImKpg9/cV14Qy+rlaiVBQPIxMzMDIurXpJSsq+mDm5yPI2ys3lbgvk5zfMA2pqengR8oCdcaNFZJpcGSsORbgHJknLVUeSk2sxiG6kbnqljzoJRNkKxkAdDgWEooh3yuC9wTvCbJGZBsJ6M1kEpkJcF62r1N18I9+Lh34uhhFHivFHrhx2qYG41GwCel+LpeolbYyRptxteBlZrkgRrxdDqJCdiVVlL6bSVnCMuJd4txTxt6aUAIuF0uFiZlct5TU5qh7SvkIHKy2EiLyjlfIaEDXp9V2uTywBi4+ekYmnePYG//7//9v1/96ld/6EMf+tCHPsRvPvGJTxz5hfaWgvILeEIhVjSnvxH5rB5wKAaEma1mGeI8eEPH6fBfGnHHKykuogIME4FXIpf1wAMPLCws5Jyj+jYviFgrcTEnFLVAoB4T1XiZX+yNx+nQti080rZtSYU5fTiGKPuR2jqEzxreBq5Va66eY9hCLMd4Yx3AJgGtMTu8bvp4Pxh+rhHHD/IIEQZpAa9xjpJUT8WlpZTwmq4PEQO5H65SUylKaaY38zjqugZy9PwjFhKZIkuRAUa15LazCBdcP+kRVNVaAgszMzOMvCBwtFfuuu7cuXNDTc2keTHWuiwyQHmS5C+lNKV5KYRixkXsYLK0ALkkXPXVq1cd/KWUYvplH7awsNAG/pFzbn/BLA4q/zS3NquEGauDhaRkSLaS/JaTs1bTjpJYZinUHZIqdiToRZic47pmUvnAW8aeDJffBYKot7O3fxP6RmoNnvQay0Fk48iX+hE4wre//e1vf/vb7/x9ersZy5KEgGhnRNTt5+w6AxEpJe9nbwk33qWUBhrvyVbn9536Z2dnZ6lU4329zS5duuTXb25uwvkkgbArGo1G6+vr/MDJNR6PTXKrpJtMPE5M7f4qR5RsYLeLkDFYII0sk73tDJUIAOmZTh1L/r5suXhL28CFyRo2G2/4/ekFMW4mpxIxjY/vWnNzyjB2JymqADaoNLHWTA0eFkEMgRc/o/M3lrI2q3o8HjNI0ixl4P1CuqBN06ytrTGyNYuvQQwEpwxkldSQqUlcHhVu6gKc/iwYA+98KJ2LOAAoLSgUlmHAOhkwK5b0sZPqvbOuTpopDrO45rZtUZy3bBuQbyMKG0GeY0fXO7NEPlupSvGMWvGieXylZhQ3kkArJQ7lJ2UA2f51WlOFMbwv/q/V4DP+tpHKVQRj0/Wo1xCmWpkzTp6pn3unGS98XExn7Zgb8QmOcp0f4Xv1dgKWpanhjHCkqUMe/pI1PaeWWnytkSuO1pswkxOHR6jeakp7FtGG/c/HQUbFE4MpwReghtRJdtIJK/L/OWcESz1EkFQyNjhGnMQQmSNBlyhqiXt1mkoKg8BkBAAojirzWu3dC0369f2MOxZr9sunTXjN+9BYJ5xikCQ79T80Uq3rxEXioOQIczQGRgogAehNYATmOZQm++Li4vr6eqP+ev7W+Dm4XC21zFJ98cAVA41EBwZYW1vjbaErDzR1hBRkNBotLy+vrq4uLy9zqhKHFTIa85O4NnyRwWDA4h+NRozMbdQI4Voj4B5vMgyaO/YfBATu7RnKmJtNYaJtW/ZLUqbotNsBovPOpOXNUTDW9AYDkjwvUOUpjViJLrAIkvGlxiD76TuG9vZ0iaFUI7J9GB9KeOoVgpHvOhd0Bu+Igeg2hX5EnwlcElhx0oCaow1Pe0d471mWPiFuxkmV63zkbewcVhJBfUqJI4l/8gLEjml4cLLIy8owVIyKzvz8/MrKyqVLl2qJVrAhAU4XFhZMHG0kCNeIFsHBkdXsTLmormu6D3HhPj0jF8A0Rc7HLAEaHB5HGC6c7UF7Vh302AoVCCccWxeaJXhZezoIoqfKiqIggrFDKqU3VKqxDK+TAtjOicw7OKjH7bGQmqZB3bsoChTX8Bxra2vuSTC9axC0NMnVotAJOR8LFcyTZI7Dl1kKlQYVueIIpmqf3WgyZSNqSSN1GGdgbAdcLykv62pXo9unNeoypYTbtufm65BZFppLhXqqpT4LqQMOBoNCI+aTYAl+yS011J9SgpWTNPOW+8ODIBcsyxLeWaynFGI2Oazxx/kRtyK8xBTT96oTJbgR44YNPlBXEv6Ypz+W+EAh1msXpGdSSsalPMjCwACiPH467VHPYEq9I7wXLau+zTGRVS2nlNJJwdZBKKucHkFSqCwhNBwGHsV7jN3LmoODOjMzs7m5yRGGW11dXd3c3HQyh2+7cuUK0TEVoxy60dmrpdRnao2Uon2Cq6Wi42oivxlJUNvHKF/HYv+VJsmxCd3ZnVQC8WlVhNkCWIRxYoB5n8OhB60MKsnb29uUh0sNjE3iRDhyL9TTPdCILrfT8Wg46wmV6PPJGmHRdd36+rrl5hEXxdXhJLJEpZOoXmOpnbXqQgNpZIFRkmRVNyKPsOaH+yewl+pfbDQJiFVKj0TOGf+X1AyHcf1Og/grJ6+NKFf0xbIXyE0BRYdSxzbgb/YmG3wgVRfHbY1EBCOm0kjRN0mY244Ndq7Xv4vfvJuXOhstKSjkoUx4waGmA6YwLcfwbxL1utEInaTzpAjFQh8LBr2xFMCbpI2JByU0NxR/5BFq7wjvSXNh2fgGG2ZpacmjHoyqsxwHmoibpSNFtFVLv4NKCaebxXyTGOFIrLGZqeigkQgSAmTkjTEej93X4YYKQFrIh3zWUPq/nA746SkNOSPkdzXIdGqcOgR9csFOjDgAtxTIdQZ1U0oToGisqdhB9ongjYwFkDSdyqXBsQY+Jx3WVZjJxdHMysH50aBNr6ejtLGEleu6Jlnc2toyHjCtkfQ5Z69AAjjr1DiDacXgcG2M0mataWVGOwux/x0P7Wke4UByNo3q2Vl6m3yFpJEve3t71g1ncHQkdJgllFKCkJK0oXDDuJYcWN9JDqlQf7AdWCON79FohGv3a/gWJK9UMVEz6MRKbaWp6zeJ+R8PohNvKAUn1GnsjKHOLpCrU2DQ8LbQaJMkcnyMcCfLQKZja9vx8015TRuYfVwYQXClGVtHvrx7R3hPmgGHQRiKxiY36ySlROSLGwNwYKlBWrE6Gu5qgsNN/YMWflgGa2trRmA4U0gus4SMG3HqsrS4XFcg0COAHUjznj0DzQeIjHcbaoi8G7b8rU2EwVeRJbB1QURTIN1FL+jDGpvIA/yaPhG8kYFAWPCzEK+hk6wons/A9ViqfsRYxF4sOT8a4/MDCQPBrGEgAz1CVIUHgwH8YSOZOzs7jHwyTm5/wGNlQQ41Y4tFDggJ3lBKhNbBFq23XoGcvJXY1OPx+MqVKwAkgHWxU7AIE1qSIGJ+LjWziV3AIp/WlHnwG+suDTR7r1T7HT/43fgiuNhW0jzOsbwZ+ZqEHZ3k0HjDCQgk1guymhn4J1fr4ovB0rS/gYGd5ayu0gyprImerebKdWI8EfR0khRmIRWhB7ELggA5aEDmA41PR2K9I7xXzZXn6Atr9TinsL5xBvzSIRVhcqMyviGIgabwsPjs+ZqmQbOGk4UzJQktWVhYWF9frzXsd1rDqVm1nImURljKCwsLRorwxLixoaQ6ICa4blSKVkral1LCfVrYIqqQl+oJi1UW+8ikYnsbWHx9IngzNlCjnhOyTmRIl3IbsSeShlQY3GNW0Z5GtxvNyxJeoPueDIkOByRODL4hy4lPGmnSOn8CrJpz5v3JOPFSZp2k0Oa4tLSU5FQM+fIpKHIRbLGbrKqaxQXjsnHhfF+GDrJlGs0tSim1ktLmzhCV8ptWmqVjqcoZ3SFgdUOko0nup1M39kUTBrwMNEyRuAQgt5bCflL1ndUeiwXxv0nlDH62S2vC9F37Tlcra3UcEWHUEuRrmgY4oVanMqGti7XGBnwBTjqHGg4VwdI6aN8flfWO8F61QqyttN8X4uEcLSat1Bis4dIcYUGT4eCgKAgcxBu2Ikl3gd9sh1RoeIWrjKxphBM7jZLvJC4KgtSFvl3qQBwrS0tLjRQOW3VGkwUWaisGYyFRwJ8NNU8jlh8qcd8dBbt6EYHTvH8GRW+HGB5rT6O+SFb4jUGzUvOiC42yMnUrpQRLC/AzibpFDgcmAXzKagF7X1tbM3ZdSFwJxjLjDwsxgcfjMbJHXBiLJKs7uwrCvCklao1Jw6doe2A5WY+JFYsrsnpOK5mkgfSP0APjq/lwLzT2YTAYMOCaNQx3ugj6YXwXvrKxnGL/TKJWA3hJiB2ImJiapBqTpc7jbLsTJ6WW3mFWn4kpThPWSdStDeLAseTJg0vBY/kPeU1VVUg5Nhr0xv03jsrKcc2YA8QhaQrCF5XGSDX72d1Ha70jvIct7+9PatR8SlmlC2zJdKCs6IYqSgtAKEYmiS75JS6HLeeTy36RA8KsQt4NT1yqR7jrOosETk9Pw2ehMZ8DAjR1fn7ecd9AIwjscbNEs5LgMo4A8wnZ3k4HoxwlZ1a3f45SDlKKJ/nU7mlzI0SzfzhAbCEnueFE4wRH8K+QAu1I8+45uxt1ArCW7EiqqtrZ2UE1lCXRSUjIBeNCjTRA62tra2aF8AIDD1lERLaMu/Sy6ppOd3AAXDkOMmuMO4vW8EPbtqSP05rIWEv2nU1EIdDbh5DOvjnnjDJqSqnrusiDTSlZraZTLx3/NeTrLDNpVD1YqH0JDwKX43oBz5FPr8NcXD/i9gBH1I/Gz8UAaTTnuPajjeYB8Eui2KTQPOcMyNxpZq9DUiOlSW6VC3ZQfpRrOqXUO8J73cogJ88+5PeIgBh8Z2NnDfeyW4KW6aKOcUj3BQMxcSKklKjP8Sc+SoyxUENyM6JrP0mekpiXvZqUt5EvUgFCu6tVU3OWmjA/sA1cIEkpQQ5ktzu9YzeOJatYSZMiFizZ4b0LvFUj0UniPgCAp9AnbpfTSN6PH3iyc3NzEW8nBUwCx6ix8edkmZSogWRp0SH28gQlugLqumbQIEsIlJKQC7Fc8jyHa2b9eAY9mLzDRMOVndiwCwsLzkrtP2KOwrodqO2dSBQv6BoBIWAp+RigY5blyspKXdc0GrG8kf+upMaSRL902h0XsH2565FZ8vT2oPZ5E39o512E9qEUiGMOEdob9C0UwQyHxosvxfItRPnxe0aVIu96Dh+vE7NhHT0c8bLuHeEZMBcLCwlAcCRRYzDaYLzIPqCTRFZRFEg44lNrSSrzhhRjTDrgPQFgnW6y85OoX1a+TsrGXOs2blYGKV5qBiC0EUjBcujMdS7oP8Sb4o/NgzU/jdOnUfMZV1ud0WmCJ2OVOu14HK6EdVIjGkuUOaUE/NV1HTVdx2ed6BsWvGUNV2oJLQSze8jJWAqc/C1jnA1U0OFeahhho5lEKSVCN188uddoNNrc3PQWoERtUA5/40KgGZ6UFawaONYwDd7TJQMO67ZtUf7kK7hZsJUKtlF6Qx0kW6Cp9pdt6Dro1NhgpJFrIAN22aITnS0pISs0XbKSPovj4zYwU/A0KXhBXsDdc82Ff7I9vTA6VS7ttvk4cxHs5PwnZZiw7dzXG78MDYvHlAjaekd4z1shxaMUfKHD3k5F+6RwvlQTtOuFjfRBLHTk0yeLO9CKkMIutbZvKS35Rq1XdF9QL6nC3FSQn7FmX7RixDVhnksXuA+ui2QxDNlj/o6WhMYHs+tGmpVTSfiqOTVzlM6GZTU8lIF/mCV66TVQSwOI5odOhsJ7KZpxVk2Lh87CwLcZVHCVawJ+7zTAmddfuHAhDmPxQE1WoP9XrZHRLDlwXdanfeFA0kuc3bhJfwXTtdq23d7eph0wSYKHWwFuwVfrug6tiRSMgBsAACAASURBVE5zpx1M2Le1auNxYGfPkVKiijnWbIfo23LOji2yKLulpnxktfeVIrA4+c6igzqc7TSe3h/R7VdKyyouejH4HeIWi6vFfYdNmLU0AXtOlPDjx/mdW9FQu/1VyaOy3hGeBTNAmnROdRLb9fHk5eudYPQ/stocpUJgaZpmc3Nzbm5uvH/+taVyeYexVAFLdTtwFHJUGTABySSgLlS9Bx/j3CmkQG8whJ0ZI9YkIIjvYi9oFmItCXIfXnzx4v6bIHFMFlvBfHtLdaMTmpAJjTQPeTweb2xsNBqywzrJQZq5VGOfdRVcaYZ4hXworjRC66wcHOf58+c9bBYFasPstcaVJLWQ2h8AexJ7OWUB6jeCR+5LPXtqamp9fT3nvLe3RyXPn1JIR62TKLwPdO8Xp3dVVVGkiPgkn9IE+WkosoUYnv4U73qTA/zfeBRkzUDupBjgCijfugzqnROwpJk7RRgHweP2rpywQoI1Tij9fI2sFkGVrQ5Ed0PrjYhXTouTOiBb8WaPNpztz4UzYgZIO5UQukAn64JURJagMA6SbWbaSERXyjCHwdAo7iqH3kEDVmwwCiGGVavQv8x+7tTG3qkhDP9nCKiTdBOIlk8Zu7FCowddRaeCaEp9qaaILnCFjhVaud8s9ns1auXO0mKm88+ZXEqpqqqVlRVSQzc2uJaGx/IRjyB1IUjfidRQAoEsklrCKOSRi4uLKL9vbGx44mAdtABZfkkeFKfrZc92qKV/NNSkXHDOUvQThJConaeUaJlwnwNACIEdF2zaDpoS4BZ8We5GFmklpdRoxkWpmQ8x2uAbmQfXipkSd7eDRaKKHBoEeTQTeGMlIdMiCJDyJ3VQH3Tp/XDL0lk1UyaGoRM4qqMEk+84lHhk9tz2913XedJA22uN9nZdi5C60UVYLV0gQxtnMImGfZgEnlRqY2+DTttYI8WzVEXsz3jBQHJZeDuC/aZpOLOSChWO5lyA5J0devPn5oyVaq7itDLHoZDoKEcMTtS8DL7+RCki9w0SR2qFRvQ5SIcN4QXmunUSiFdKq8WZBysWzBxXx+rCYzlz8juzbFAobcK4MWf//BJMYqBBGUnZofFSOhpTAPZT0EJr1YfH/4XOg09q2xYvy9eZm5vD+3J8N5qI0qnyB6ZaqFPIJXYWcCPxOfc+xSzZA7GRwqiqCuTGIIcvuNB8pTYUwg+2RjgOTqp6FKEo6Be04qb6Dw+pqRf7Lf4+4qXOBctAbk9hPH0S6dRsAOOlThadyxrNOkLrHeHZsQipuzDuoksEBs0msFtqRUIrpXnt6KyRALyFJe3zijD2emlpqQ4SGyjXpKBnb13vSLUoNE2U865V11SS78TpNpIsaSXxXIoLgxekHuNObcfFqafGHJvlnAca7xyJM26lwDnFChDpEZOloc90IgpWEqE1/dj+chz0u3EMRiOSMEzcQxuoFrgckjAaGPgNfzvQPIocum5MWmax+fAtpdXCGjZQubS0hGo2W2M8HqM7iqMCRDXBpJM8N3fGGj3j/ZMdk4QIHPy1bcu3iE6LG2JyDaW4gVS5D1nzWeVSHxRpf9kvix3qO1OEJveJDO+QnRVRTaetMSL3eUXMbXS6lJKO7489dK1Bx7ezXg+13hGeKZsIGPGFxiiKwBRtQ/ehvRqL0rvRmAnvSVGE9cquY007oi/CKBbXeAxREmITL0eNR8OwZt8UKodgpIyIT7rk7r8aaciZe6sjm6DsqTHHaSwA15NKKUl6yQ0157mQGDera3FxcXt7Gx48yEHW8FsQhSqMWQZBpdvVGEbko5Zi+bNUSmmnZRXSvKjm5+eBbSk94l0GGvUwPz+PVG9SvaqT7hd9kFtbW2h809dPZllL8zMF7GFqagqWGYEg1+nEF+TWgAc3k5sQnVAX9CjSfnfFRTpjbkN182bW/MRBEV1adz2CTDrAgrkZK0Nzl6v+KQzyLVRVSUJiHfE0IpoWYhL5WTRBXvyorHeEZ81isdAIQys+uks7pXiepbh/rsrUoRkj54wilENUD1nlADKU4T8BtMxBijceE7RJsY2tCJME71QS3XbZgw+1LlQbOqOLMCPb8ldZBIG8n6jd2zFZFDcxeSTeeaAFa4+NRiPIL1Fni2m0LFRkkpzJpZRoHCS7QhEGVDyLqrq1teVmbUK0ubk5MPa2bcE27Q4J9Rxg0ajgUneSVlmW4hKAJM6GNYlfPHfu3ECac3xN/gpOmbWQjLviuZNaQVwGY6EO90+A8X1zCcOiEDFFbpoGGQqjhTdfBaik9pnU6lAEmkxSHHmHy6NSY0zW0Ow2zJbKmmHShI4LF1w4iwyi+vUm1xyh9Y7wrFmxv1jYSckpBdeIt/A2wM0Uoqdb15g9TwTtpVlp4EMO9BMiWXdDW3ay0jgL3tmTxgYSO04ajtHubxAuA9ullmhhK9E1b3tvY3tBwuoTvuf3uTk5I++BzeGT2s7AQdJYo0hSEPBj8Zg3CLrOyswSGAJcdTI0GAw2NjZqjSTMastpJcMNqyXJC7J45ufnIb8A0oIlZNUsGVKI8KkB2Lm5OTtdqnH8rUvdnZrW+ZrRJxVqAUopUU3c2Nhgle7s7JgI6h6MFIiXSe3kgC4up9VSO0OVBt+f9idwN2OOepM8TRMkAo7K2difcQMrTV70lx1qxFIbRsFwYlD4IMLgIfosOpJrs/WO8AxarEl0QV2zUD97lo6R+VcGH1w7jEClsUpvS3ybSTSV9Ob5ZRYBJ2nTOtxOgaHQhinVUS/UJXEbM2XseqvQNdyplSKp4fekb/d9b/Y6SWLNPM0I0WfNa/VzJIebm5vzDC9jaDH32t7etqgQvoqjsJSECoqyhXgfzk07DedK6vU2vdNjEFxZrNX1wbU5d+T1vBtkVw8R3NzcpPTQSXLaKIuRRufKri+klJaWlsbjseUjiqJYWlrCkxWhjX2sWfOVJM1MRuOt+HSDhLeRwBVqyU1qKYlvdVTOpghCH65uxEuNL+jE7DN25curpJsRvfVRWe8Iz6bZyfHPQg2CRoFcTkj78ypXyJMmzxHHGVmNe69Sq58LIXyEXxNL+gfjuIhQJaGj9oKtDFYFb8sFxBzX75b3D1rq7SQN3+Dq2gTkUKtXzDXFSrONQEonOnzs3kpxPlkJoJSsXpJFEjhjD9BwPO3ERJXZ2Vm63a2jxnYwLSXqPOCMTeCsJK60tbWVBEsk8RgdBUJkTSq5kWVGQVQjHJhVvGk34q28H1nzhljsmUyi5ivXUhUvbrdHlj+k+JpCh/vRplyFevzt2yYqF8axfDTlwJNyvs6LXbs9wivsD44zawS2doel+p3ZjcMwYrsRo90UskGYopICQN9Kw9DVwTZI5bJv4aTRwuVKYdu2dOXH6l0h2nc6wEZr1AjBcVBpMqp5cUWYzJKuN32+txO2SJyJE4ucF7KojDfC/p2ohJXS2DMGaDEzP+gyiDt3XWcOalVVMzMzi4uLTjv8ESklZNI6sU6cqFlZpmka/AFrO6UEIkqm63mZVVWh1psEsZSa3FKql8PIsCdClJpZzw3BC7pM0Em/vlA/PuRSsMFC3RfOm6MjKQPZ+/asCW3yXWj9PFqL66HR0Le8n62axGKNmBB/ZdEP59xHe3m9IzzjFt1hKZZarcZBZ2x1mAftEouPJEf3jmpduE7Cf5owWgymQER4fCqVgY1t93nwsiO6yx7gIIsbINLMXIjq7S4aa6bdP1inCe3b5pS6pGcsIUlFBYfaaJg7eB2yDzlnV+bcO4Gydi3xMDI/q93y/pUGUONIiORwe25IZQLUWHOOmJfEIgQa5f9SVqQhMoXsDV811Lj5Jsxl7LrOkoQGY7kqRG281PlD7wiuk2XvXdao49ZI5m07BtdNclBii9WTo7VSI0dSSn6IhYwjxdVWovZ4Vzu14vQZYW+3aawng40plO54AZAjhwWsTur5ZVlyQPCyNnC7bU1o7GWLEj6bBVMEnRoHtvkGrE5fpLdoKaWP+PpGektJ8yX6dPA0mLmRnWS1k5aNszEQUccxHPfWxW6krpKEj/F8WZZR2NbgAa9vNFnCyaWLkXauXlqG3ZyPUubkbZlcgdPCxUJLKYrC3pGtQfbGl8K34S/dUulv6hCTEMGxXQo1CG4aToJrqDT8vQnygSmU8W4bCOn2d80Pw5jlZn9DxRHaQALcKayK7kAXR63eFRBjlwZdXukzwt5u0wywmKxsglaMKA1tORStwjCwlBK9yU6/WMccT7Uma5uwUIhB7gzSvjAuZUemhryKICziIrlfH/dSqfHCJ3MbezvcwMZNnOmCKmwRBGXIHT1KAi9iGYe2bSHCtBp5aHaVy3IsPJYNqtMwUJwpUn6bmZkZaFJYEvLmI9VFTXIOjxV0ypXkqvnl1NSUu9Hxjsx+qjTOkK9jYbZCQmillFTH4zHdh0VRMGiJr0lljj/hYvCRLrK2YWR8lt12Ltjun3Pr6obdkhsqbnsl3MgiR3Ri2/rTQZuTnqO5x/75yK+qd4T3l3k3toHt7f/reDZJPiYHdQlH+ubdJGVmKSXDVpxlBku7rqMDzNyZTu3wgEhtkDc8uDGq/YIaXSDBGsPpHeGpMnKdGNS7BEhaUwYhzSSUDEonLBUDDPZGpaRlgU/JqEARnSvwhoRl+DZHV6Waz0gra8nBd+Jessx4Txe2uTaL1M/Nze3s7HAikzvi750stm3Lb1zOzBIEcKUgFiCLoHFfiNHtaUpWNndY6QXvTXF7y37CC0aHd5DidOS+MKJBpsjaBWIk6J10FjtprfG3/TzC3o7AitCllFJihRlwYKwE63J3d9fxrz1op/Z8e1M7QjwogTNHhjNC/2wHWYQxwhOX5wS0CJYObOAU2K3He8t6u0Vz8J701HKQuDSvJMkL4ldAAnE8TuCMkEMENVZPhkQWyAqhCO1KIWni1tYW/e/O6rLoiC6fcxmMMcF9ttJXc8JHluYV6E6GxcXFQqP+YLda740UluwQn03pkV2Wgqp1ChLYSdGqSxh1XZPpgtBwJfnWReRbkbH9m+J6bRKR4nR8vtBrowrd8d1+Of4iDJhLirmPiQrQO8L70XIgtsVoK8kXMo/eQXGs8xvLsgvsghZ+Egtmbm7OnUmRreNsIAaASaQyF35iAcOpZ9zD+QDfrLdTZTkIgvAbU1GSYHkokRx2kFaQE/PKYUYmLsTVo6IoNjc345Jz6Qh/hsinqTGI0CLS1oaGogiqkyBamI2scXNzE7QWR5hC9IYrdSqJ/y6ChGEKMy7ogp0QE4jrvxBthJ9xlrwYZ4/bbtsWL3hLzskMzInfFzfouHDAeny+MAcKVQRIC1GCK82jnzguDuaOR2W9I7xPLcbsSW7G5XfKPC7DmBRnQMP7tt3fHdiq6adQSTKHaZw+JnyK5aCXFi8vHliFGBD+jQP51HvBU2w5EOKTQPJaqihE90zxpVvAon2unJUSISIxQvwspYQ7wbMCqKaUFhYWLH4NdxT9Ntb2zs4ORFBWGs7G+GpSAFdrpi5SqKUEHMowMM9Lt5AKYNKyjBTQrK4JJ7W4dufESdvQrUqF+iW4Rd6DxIjQRpI23UHn5N/wV9f1f2n/JPrr2sn4wkiZ8e/rAwJvRrBi4N71rNHejsrYyV7uMTU0TasT2zNuKvu5RlO8O6l4mF+awghAg6uxFOG3OnhhEcDJGojo11f7x+32jvA0W/SFXmA+VRu1b2e1HCCb4mMax9AEgZiIuEJXqTTbBBwSX4gPw8u6dQG/yHToMmj4ZQkhbW5uGvaoJQbGCEC3/Cf1GHhrJEm4peBN2URtaAbHc/tlrWZc4HeTENGkOVCIw6WgxOT7FqGRm7dCBfWbcSHH7QvL/c2ghfpDvK8nINAYuN/kV7gl6x3hfW0T0VZSqO5SvDe8/8RuyfStiOnzmlgPT+KkTXjcQ2LSmEPEomD0rP7NkW+J3o7WcuCeJHXWt0FCDwQCRZhOPW2l+i6aMK8upTQzM0P62DQNlT8WEi6QGUmc2qSARVEgwG2En5QuIg0+iJ2okSOCpqJx6tjLqaHP7ioMVWg1KqjThHo+lGkVUaAcI9PtRFvLUpiDdMPV4uz5mgdrCi9qt+T/Jv7wWH3hRFI44QUPfpAD95412tux2HWBeDPoyjAhuts/p6KQoLDPggkXaMPjRraLIaYUxremcE5NYCaOvg9hmfZ2Oq0ImpZJiWAKWllQRim87e7uTggbRUzCdaMkQVGIJ22YSUsKWBTF9vY24mqVZNKaMAUTbouLlK16ZIswNSzSGlMggvJ7OiVSoDfbrfKGfESpERaFjDcEleVPctBginGesdyslsouVPcn7nO3v+54OP55kw/u+HyhHaGPFH7v53vd6zmmpo7eEfaW0vWA+CaIIXnnx9iNc80tFjdygdEc1U5gO10oIkaOjB2kf44B9XXDxt5Op3mBOdhKOtzNrkxhln2hdgIDYvRio8m3s7PjFM3rMLpVRuxSJqQVwZ2LKbSppRCE4cz4xCpooqaw0ly1ajWzAhbM9PQ0Jb2kvLCVphJ8GTd++Cs7WUxSak37s9WIhcalXtyZoNqt2vH5wkKyjvUBPf07f/Nbtd4R9vY3NsGgiSuSKJ7DiBzRIefNuMCJT8mBNubfRy/oYDbvp4nHa+vTwXvL4pGapXBdyuhe4PeuHdZS+OM17lsvpUQTkyoIMkmLand3162HSZ5ydnbW5C9fFZ6PVW1ea6thFEkdQV3XbW9v81mt9JKsCcdv7DidvJaaFczHtdIgBRRNktpxfGkuK2+STsFSP9a8sJbAkKkJR/K2t2q9I+xtn+X9DBrHyI5M3cLVakLhbezSYj91u9NYRL+V+dPxzSMoepJBcW9HZcZIO6na8jOegKTQDoBjMVIE3YqDw3CDhCt8bh/klzA2DUVOT097IqZhBl7cSvwMNwzRxq0R/tAI71ca/gCQW4jqYm/B9fM+kfffSUgzBazPfpRLymE04GlY6kUY2Z3UfHyH7tnRg6Pquwjw9I6wt0kzNJTU1WSn1YkX7pas9oBO0u19ouuO6QbwSA+KnhkzRuoSUa1xCpWGUcSKkZsWQDtj9TrtLzbTR8gZDVDJ3/K2TBCsNROqltC8XanLdUipmeSJA+gkn4ZWKlvDLRxZbUI0DpbSVKukYphEFvWcanLBUjrXfAW+V4RGTslSLw4UehsNpbmNK3Q8QTzk6OduWe8Ie7u+5f1drmbcGbeJ1cQ7DFq70C9xIyfXg6JnyUrNFfK6Ssr4ORmtsZL3z2SHSsOJ7IpdkmRz13VIybh1AR4pHwqSSZZpnD+rwcOhGO16FgWMhA4uj9Z4uumh1diXcwGGWyeU4pM6QKqg8Rvr5QdblU7VUp8o9KaQ1d0SMSeyBECPDUffre/bO8LeXtxyUKJpJBLv8LC947ktL+rkelD07BmslkJKoZyk5rA4S0vCyb3YSPJymM+H89jZ2amk0Tw1NcX6jOU3vE6jIRVmsiQdzVVVMXSl0sTpTqJfhSjNZHuuZpVhlpmzPYvRTCxmVzST9tQEBaZQSwa/PIXIh+GiuCVNJr9ughgx4fjP+G6Oh3pH2NupNjdRpDC2IhKgXUe8VTukixaLR8PpQYp6u3OLLQH8xs6vCZJjnZoTPCyQF/Oz5xZ1Ev8rimI0GlWaoNupe70oCjgvzkjQkSEpIRE0holLLsIMCjoR7QUxFyxNtDH9NZK/iqKg+tiFySpe7ZERdk8gHzi8ThPn/XsniPzzcLTT39pJcLdfce0k7Qgc4ac+9amf//mf/9znPjc3N/eWt7zlJ37iJ6K8SG9nxly66KS7cdA73up7xo10o/i3De2GfTp4xixLXT2rgS86j0ZTk3BXRejA80rAj9oXMu0vqSmeJUreljWV1x/UaMgfXhOc0/mN6WC+EnNnUojPstoQ+V/84P5CLhLVUH42VcfX72UfRZRO/1IvJKl/MEF80b+dYIPnIMN9rzrCzc3Nxx577B/+w3+4urr6z/7ZP3vhhRd+5md+5s7ftrfTZhEOdewWveOtLuKJVO9GoGj0lHf6HXo7ZZaDvAg8lE49rAfZGROJiOEBfBvv0GnuUixceYnin2ZnZykxbmxsuEeWz93a2vLHOWnLQW4ih3kI/mcOMrx+N78G1Wx+LqWemg5wpye84D2EfNwoQcSc2fsH/ze+g/up7oovPAJH+Pjjjz/++OP8/Nxzz/2X//Jf7vw9ezuddl041FSaWwVIIwp0IyfXg6Jn21gwkSthHk2WWbTMsJsPyqzhfOSC7rXw0WxnVhQFUyDodkDb2rRPo6xeh53UXgBFXf06eEzbW7vZ0f8LvBTHnCSd6iuP7zPhBU8tKHqIOUGMQPfN/3m+gQz3ydjR1AibpllfX//Sl7701FNPfc/3fM+RvGdvp9MiHBoPiFsFSF+0NJhuzlP2dq/bBCzGP+3wcHX2hSnINGdJ7iWpkVEvTCH5c+7Ytu1wOIREWlXVxsZGURTD4XA4HM7OzpZBJtRZYKf2Vvtgey8nrEm6o3iviVUK7pqllXqQRIpN7IV70QtGu72A1Y7Qz/eor+swu6kza3Nz87Of/ezB37/2ta9FD+Kzn/3sW9/61ueee+6Nb3zjO97xjkPe6v3vf/9HP/pRfn7jG9/43ve+95AXQ0S+mSvs7fjsuk8hBrCY1+7B42DCJiCUG+38WC66W8JLp8fO9l4wcsiDjkCi10bk3BfS24tvksPYo/ibFGg1EDtToDoztreThovfllR1Z2eHUmIh8e6dnZ1CMysYZ5HEa51YpfbKXAkjLA5+94legnvdC96J+VYcfobc6l6YnZ190bt6U47wM5/5zI//+I8f/P0HP/jBV77ylSmlr/mar/nLv/zL0Wj0Uz/1Uz/wAz/wsY997EZv9da3vtVvtbCwMD8/f8jndl13+At6OwG77lO4EWHMRICDK++6JYRDVrx97Yt61vvBzvZemDgB/c+JKlobBKltE9nDzMyMV06s2xFX7e3t7e3t7e7umrA6NTWV1S/hLNM+Naujg873oigWFhYit8U5YvSCnear8M+yLI2I3uiLp36d33Tsexx74aYc4dd//dd/8pOffNGXDYfDd7zjHa4XXtde8pKXfP3Xf/3NXl1vp9Xs7ezbgJKAiYChHF+3N5grfXhp8B6iz/V2hxbrQyYipgMoWd4/6dfm4rRreJ0saUiFi5H0SPAyr1J/eiERcHLBLrQz+gX8bJZNCqe2Sa3xQKdV8aD1XnDCJgrGJ3lDjqBG+OlPf/qrv/qrieOeeuqpr/u6r7vz9+ztnrAJd+jyYdM0e3t71q86+FfFjaUFu0Pnc/Z2Ju0gZSZysmJSmPdr4SYtQieLXlqNLP4tJGeom7A3I/U/az4wRi6IlrcL4VxPvKosiRyXMGNH/I16ySI60ntBm1nokYt7AnYEjvA//+f//IEPfOClL33p888//8pXvvIXf/EX7/w9e7uHzGwxuruiAsgEQMrKPgSvn8C+Jph1vZ1hu5EjPEidMF464cP4k4k0qwvqffxmbm4u0puz9AItoobojBFRQNEJP+d3zvu7KZLADDbFjcYptPuHDvZe0Ha3ksIjcIQ/93M/9573vOf5558/f/78Aw88cOdv2Ns9arjDFJQhk06oFw3uJhLBdN8TB+43O+j5JvDS6/6JiaN2SzkIqqUDk/x4f96Nlxm0KCSkWRQFCxg3xn+rqqIdEK6NOaITq7oJM6tvVOWKXrCnQx+0u5IUHk37xNLS0tLS0pG8VW/3uk2oO97Mn0wkgj5Kju0aezt1FlOBg47w8APR/QlR32QCgY9rzJ6v3a+Hgo9k7aFWapZNq3m5vHiiZdZXa692cAEfJItNUIF6w+5KUtg/ht6O3sr9Q1XY/8X1JOr7RLA320RD4W0ciPaIB4MwJ4uxBwN5NhcXMdf/TI1xDwZDoDo1+7dhiGAsh8c1fCOyWO8FD7GTTwr7J9Hb0RuAUizhpOtJ1PeJYG/RctDZcpnt9g7EG70SFzXh+aKum/HSpO5AvyEsU0qMkT7qwmShCWUGbOP6n3irPto7xE4+KewdYW/HZez2G3UcFvv1GHvKQG/pQB/FcRyI103FCumaxqzOntI+mH964rwvNVY3gVIP+r+kHdGHejdjJ5wU9o6wt+O14sUk6vtEsDfbQYJMxEuPNVTCh+HkUkpImN5oWRqDBeTAWxdhEv3Ei3v/d6t2wklh7wh7OyG7boLYJ4K9RZs4/lyKi785po+OzX83Wb3rNOkiCfCM3Ro9BHqHdpJJYe8IeztRiwli5N311hvmFNDMzPibY/IrEau4ycis2z860b7TTLF+bd+hFTfRQnNU1kcrvd0d68Gi3q5rcWG4FTUyU478E7v9czFvZllOeMGJM7qP8I7KHPdcl3Z0lB90fG/dW2+99XYbZr9ipDEeiEf+cbfR3h7Zzn2F+/isCEJUx/Hobb0j7K233k6XRYdEP8NEW94RftZtCNtGUmg/IOy47WSSwt4R9tZbb6fODgKk9lJH6Agjb+smE7uDLRZHdTG9XddOJinsHWFvvfV2Gi0CpJEmc92RJrdhE6XBm6HhTHjBnhF6MnYCSWH/IHvrrbfTaJGKSermA/HgSMLbsFstDfZe8G7ZCSSF/bPsrbfeTqnFE5BuCn6+86TwVkuDvRe8u3bcSWH/OHvrrbfTa7EOF5PCO8kMIuPmZup8vRe863bcSWH/RHvrrbdTbbFYaIc0IWB78xZLg8WhY6KT+gV7L3ga7FiTwv6h9tZbb6faYg0vnoBxptJNWtu2E80Ph7x4YkZY7wXvrh1rUtg/19566+20W2R13rYvRCDb/+y94D1nPIIXzeNvw3qt0d566+0eMDQ8GfJAVQ8vhbs6nPAy4dVedOBJ7wVPp0EkPg4Rg/7p9tZbb/eGRYA06nlOTHiesAk4NOd8+Ek64QWZx3Q0X6C3O7ZjUjDoM8Leeuvt3jAyOY8n9H89o+BgXjiBnb5objfhU3sFtfvE++zY/AAACwJJREFUekfYW2+93TMWxxMmzWwaj8cHfeEdwqGp94L3k/WOsLfeeruXrKoqPBZOC8+HF2yahhpS2q8+c/j854lh0ekmvGZvZ8x6R9hbb73dY4ZXw4GZKYMnq+sadxhffAgcerC+2FNj7kPrHWFvvfV2T5r7C5nThAtM6oLHnx2S2B3EQg9PHHs7w9Y7wt566+3eNjwiPJq6rkkT27YtiqKuaxyhWab8t8dCe4vWO8LeeuvtjBjObALqJOc7RJSrx0J76x1hb731dnYMl0a296KKlAjW9Ilgb70j7K233s6UTUzZdUY4kRr2WGhvtt4R9tZbb2fZYmmwt96uaz0y3ltvvfXW231tvSPsrbfeeuvtvrZT7QifffbZuq7v9lXc79Y/hdNgX/rSlw7Rle7tZKx/CqfBjuMpnGpH+J3f+Z3PPffc3b6K+93e8pa3PP/883f7Ku53e/Ob3/zCCy/c7au43+3bv/3bv/KVr9ztq7jf7du+7dsuXbp0tO95qh1hb7311ltvvR239Y6wt9566623+9p6R9hbb7311tt9bcWLii8cof3mb/7mu971runp6Zt8/eXLl5eXl3v1o7tr/VM4DdY/hdNg/VM4DXarT+G//bf/9trXvvbw15yoI0wpfeELXzjhT+ytt9566+2+tZe97GXD4fDw15y0I+ytt9566623U2V9jt9bb7311tt9bb0j7K233nrr7b623hH21ltvvfV2X1vvCHvrrbfeeruv7bSMYfqzP/uzX/7lX66q6kd/9Edf/epXH3zB6urqL/zCLzz//PNPPPHEE088cfJXeObti1/84kc/+tHPfe5zDz300I/8yI+89KUvnXjB2traBz/4Qf/zm77pm17/+tef7DWefXvmmWf+/M//nJ9zzu985zsPvub5559/8sknL1++/D3f8z1/5+/8nZO9wPvCnn766dXVVf/zkUceeetb3xpfcPHixf/6X/+r//mmN73pNa95zcld39m17e3tT33qU5/+9Kdf8YpXvOUtb/HvR6PR+9///s9+9rNf93Vf9yM/8iPX7Z343d/93d/+7d9+6KGH3vnOd54/f/6WPvdUZIR/+qd/+vjjj8/Pz3dd943f+I2f//znJ14wHo+/9Vu/9X/9r//1yle+8p3vfOeTTz55V67zbNsP//AP//Ef//HLX/7yP//zP//ar/3az33ucxMvuHjx4k/+5E9+Xra2tnZXrvNs2wc+8IFf/uVf5g5/4QtfOPiC9fX1xx577K/+6q9e8YpXfP/3f/+HP/zhk7/IM2/PPvus1/lP//RP/97v/d7EC/7qr/7q3e9+t1+zsbFxV67z7Nm/+lf/6sd+7Mf+3b/7d+973/vi73/oh37oV3/1V1/96le/973v/cf/+B8f/MNf/MVffPvb3/7oo4/+3//7fx9//PG9vb1b++DuFNjf//t//93vfjc//9iP/dhP/dRPTbzggx/84Ote97qmabqu+43f+I1XvepVbdue9FWeddvZ2fHPTzzxxL/+1/964gV/8Rd/cf78+ZO9qPvO3vWud/3bf/tvD3nBz//8z3/rt34rPz/55JPf+I3feCLXdZ/a5cuXp6enP/WpT038/hOf+MSrXvWqu3JJZ9s45N/znvd8//d/v3/5//7f/5udnV1bW+u67vOf//zMzMylS5fiX7Vt+5rXvObpp5/m5ze84Q1PPfXULX3uqcgI/+AP/sBZ8Fve8pY/+IM/mHjBM8888x3f8R2kw29+85v/8i//8tlnnz3pqzzrFhV/9vb2FhYWDr5mNBq9973v/U//6T8ZvuvtyO2Tn/zkz/7sz/7qr/7qaDQ6+H+feeaZuFn++I//eGdn52Qv8D6yX/qlX3r961//hje84eD/2tzc/Pf//t+/733vO4hg9Xbbdl3M85lnnnnssccWFxdTSo8++ujLXvayT3ziE/EFL7zwwmc+8xn2RVEUb37zmw86kRf53Du45qOxtm1feOGFCxcu8M8HH3zw4Oil5557zi+YmZlZWFjoxzMdn33oQx/69Kc//fa3v33i91VVvelNb7p06dInP/nJb/iGb3jqqafuxtWdcXv5y1/+0EMPXb169Wd/9mf/9t/+25ubmxMviHvhwQcf5DcnfZX3jT355JPveMc7Dv5+amrqm77pm1ZXV//wD//wDW94w0c+8pGTv7b7x55//nmv+ZTSgw8++Nd//dfxBc8999z09DSeMqX00EMPTbzgRe3uk2VyzlVVefRrXdcH5XDiC1JK4/H4RSVzers9++///b//xE/8xK/92q+trKxM/K9HH33UG/7bv/3b/8k/+Sc//MM/fOIXeMbtX/7Lf8kP/+bf/Jtv+IZv+IVf+IWf/MmfjC+Y2CwppX4vHJP9z//5Pz/zmc/84A/+4MH/9YY3vOHXf/3X+fk//If/8E//6T9929vedrJXdx9ZVVVxEu/B859N0XVdURS8YGpq6pY+4u5nhCmlhx9++Mtf/jI/f/nLXz7IV3zkkUfs4VdXV3d2dg6+prc7t49//OPf933f99RTT70oF/Gbv/mbn3vuuR6UOz6rquqxxx47CLvFvfDss8+WZfnQQw+d+NXdF/bkk0/+vb/3986dO3f4y775m7/5urSm3o7KHnnkETuIdD0f8cgjj9R1ffHiRb/g4YcfvqWPOBWO8Lu/+7uffvppfn766acdW33sYx9bX19PKb3tbW/7rd/6ra2tLV7w2GOPAQr1doT2p3/6p9/3fd/35JNPfsd3fEf8/R/+4R9evnw5pRTd3kc+8pGv+qqvmpmZOemrPOvmm7y5ufmxj33sda97XUppPB5/7GMf43+97W1v+/CHP0z58Omnn/6u7/quwWBwFy/4rNru7u5TTz01gYv+/u//PmTp3d1d//IjH/kIj6m3Y7InnnjiU5/6FNHGxz/+8d3d3W/5lm9JKX3+85//sz/7s5TSysrKt3zLt/zar/1aSml7e/ujH/3od3/3d9/aZ9w5z+fO7Ytf/OLLX/7y7/3e733iif+/vbt5OSWK4wA+KTsLDNMT5WUjbCYRSTIL9UjK3tvCH+AfwNq/4B+wtrATeUkWRlhYsaIoIaXkJc25i9PV7Xbr9jy3G5nvZ3XOb3U2c77Neel82u32/X5P6wzD9Pt9QogkSfF4nOf5TCaj0+mazeZTx/ueHA6HRqNx//Q4NarVamu1GiGkWCx6PJ5UKiUIglarrdfrTx3ve+I4LhaLJRIJo9EYiUSu1yshZLvdMgwzm80IIbfbLRQK+Xy+ZDKp0+mGw+Gzh/yeKpWK1Wr97XS6QqHo9XqEkFwu5/f7U6lUIBDgOI5OU/DvqtWq2+02GAx0LiqVSrReKBTMZnM2m/34+CiXy7SYz+ej0Shtt9ttlmXT6bTL5YrFYl+9VvAqr08cj8dGo6FUKsPh8OM/YzAYOJ1OlUrFMIwkSZ1OZ7PZBINBo9H41MG+p+l0+uvlG5ZlLRYLwzDj8dhqtarV6vP5LIriarViWdbr9f51yQi+YbFYTCaTy+Vis9lcLhct3u/30WjE8zzd+bjf761W63A4CIKApZH/ZLlcSpJEP4EHURQdDodKpTqdToPBgB7i8Pl8fzxiDd+w2+0Wi8Wjq9frTSYTbQ+Hw/l8zvO80+mkldVqdTqdbDYb7a7X6263y3GcIAhffTPyVYIQAADgKV5ijxAAAOBZEIQAACBrCEIAAJA1BCEAAMgaghAAAGQNQQgAALKGIAQAAFlDEAIAgKwhCAEAQNYQhAAAIGsIQgAAkLUfbTWeia8Eo14AAAAASUVORK5CYII=",
"text/html": [
"\n",
"\n"
],
"image/svg+xml": [
"\n",
"\n"
]
},
"metadata": {},
"execution_count": 6
}
],
"cell_type": "code",
"source": [
"p1 = plot(x, f; label=\"true f\")\n",
"plot!(x, samples; label=\"\", color=:black, alpha=0.02, lab=\"\")\n",
"plot!(x, mean(mfull[1]); ribbon=sqrt.(var(mfull[1])), label=\"VI\")"
],
"metadata": {},
"execution_count": 6
},
{
"cell_type": "markdown",
"source": [
"### And we can also plot the predictions vs the data"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=3}",
"image/png": 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",
"text/html": [
"\n",
"\n"
],
"image/svg+xml": [
"\n",
"\n"
]
},
"metadata": {},
"execution_count": 7
}
],
"cell_type": "code",
"source": [
"p2 = plot_data(x, y; size=(600, 400))\n",
"μ_vi, σ_vi = proba_y(mfull, x)\n",
"plot!(x, μ_vi; ribbon=σ_vi, label=\"VI\")\n",
"μ_mcmc, σ_mcmc = proba_y(mmcmc, x)\n",
"plot!(x, μ_mcmc; ribbon=σ_mcmc, label=\"MCMC\")"
],
"metadata": {},
"execution_count": 7
},
{
"cell_type": "markdown",
"source": [
"---\n",
"\n",
"*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*"
],
"metadata": {}
}
],
"nbformat_minor": 3,
"metadata": {
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.7.3"
},
"kernelspec": {
"name": "julia-1.7",
"display_name": "Julia 1.7.3",
"language": "julia"
}
},
"nbformat": 4
}