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@olivierverdier
Last active June 20, 2018 12:06
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import torch"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"import odl"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<torch._C.Generator at 0x7f338ae47cd0>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"torch.manual_seed(0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Load Template and Target"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"import urllib.request\n",
"urltemplate = 'https://raw.githubusercontent.com/chongchenmath/odl_lddmm/master/pictures/{}.png'\n",
"pics = [urllib.request.urlretrieve(urltemplate.format(letter)) for letter in ['v','j']]\n",
"\n",
"from skimage import io\n",
"\n",
"from diffeopt.utils import normalize\n",
"\n",
"I0, I1 = [torch.tensor(normalize(io.imread(pic[0]))) for pic in pics]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot template and target."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f3310582eb8>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3325a50c18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(np.hstack([I0,I1]), cmap=plt.cm.bone)\n",
"plt.colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Prepare Noisy Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We use 6 angle parallel geometry with some white noise."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"# Create 2-D discretization reconstruction space\n",
"# The size of the domain should be proportional to the given images\n",
"discr_space = odl.uniform_discr([-16, -16],\n",
" [16, 16], I1.shape,\n",
" dtype='float64', interp='linear')\n",
"\n",
"# Create the ground truth as the given image\n",
"ground_truth = discr_space.element(I1)\n",
"\n",
"# Give the number of directions\n",
"num_angles = 6\n",
"\n",
"# Create the uniformly distributed directions\n",
"angle_partition = odl.uniform_partition(\n",
" 0, np.pi, num_angles, nodes_on_bdry=[(True, False)])\n",
"\n",
"# Create 2-D projection domain\n",
"detector_partition = odl.uniform_partition(-24, 24, 192)\n",
"\n",
"# Create 2-D parallel projection geometry\n",
"geometry = odl.tomo.Parallel2dGeometry(angle_partition,\n",
" detector_partition)\n",
"\n",
"# Create projection data by given setting\n",
"xray_trafo_op = odl.tomo.RayTransform(discr_space,\n",
" geometry,\n",
" impl='astra_cuda')\n",
"\n",
"# Create projection data by given setting\n",
"proj_data = xray_trafo_op(ground_truth)\n",
"\n",
"# Create white Gaussian noise\n",
"with odl.util.utility.NumpyRandomSeed(0):\n",
" noise = 5.0 * odl.phantom.noise.white_noise(proj_data.space)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"noisy_data = torch.tensor((proj_data + noise).asarray())"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3310425e10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f33092b0d68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"(proj_data + noise).show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Convert the forward operator in a Pytorch function."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"from odl.contrib.torch.operator import OperatorAsModule"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"op = OperatorAsModule(xray_trafo_op)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Prepare the loss function"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"from diffeopt.cometric.laplace import get_laplace_cometric\n",
"from diffeopt.action.density import get_density_action\n",
"from diffeopt.action_loss import ActionLoss\n",
"from diffeopt.utils import get_composition, get_exponential, get_identity\n",
"from diffeopt.distance.information import information_distance"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, the action is the pullback action on densities (mass preserving action)."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"act = get_density_action(I0.shape)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Indirect cost function:\n",
"\\\\[\n",
"F(I) := \\| T(I) - D \\|^2\n",
"\\\\]\n",
"where $T$ is the forward operator, $D$ is the noisy data."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"mse = torch.nn.MSELoss()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"def get_data_distance(goal_data):\n",
" def dist(I):\n",
" return mse(op(I.unsqueeze(0).unsqueeze(0)).squeeze(), goal_data)\n",
" return dist"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"match = ActionLoss(act, get_data_distance(noisy_data))"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"from diffeopt.utils import get_distance_to"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For the regularisation, we use\n",
"\\\\[\n",
"d(g^* \\mathrm{vol}, \\mathrm{vol})\n",
"\\\\]\n",
"where $\\mathrm{vol}$ the volume form, and $d$ is the (Fisher) information distance."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"vol = torch.ones_like(I0)\n",
"reg = ActionLoss(act, get_distance_to(information_distance, vol))\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The loss function is now just a regular Python function combining the previous loss terms."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"def loss(x, g, h):\n",
" return match(x[0], g, h) + 100*reg(x[1], g, h)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Prepare the Gradient Descent"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note: the initial volume cannot be exactly the volume form, otherwise the gradient is undefined."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"template = [I0, vol + 1e-4*torch.randn_like(vol)]"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"from diffeopt.descent import Descent"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"des = Descent(template, loss, get_laplace_cometric(I0.shape), \n",
" get_composition(I0.shape), get_exponential(I0.shape), get_identity(I0.shape), \n",
" rate=1e-1)\n",
"des.initialize()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Run the Gradient Descent"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Disable Pytorch `resize` warning."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"import warnings\n",
"warnings.simplefilter('ignore', category=Warning)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Run one step to check the loss."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor(474.5741, dtype=torch.float64)"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"des.increment()\n",
"des.current_loss"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Run the following as long as necessary"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tensor(113.6860, dtype=torch.float64)\n"
]
}
],
"source": [
"for i in range(200):\n",
" des.increment()\n",
"print(des.current_loss)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Inspect the Results"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"I = act(I0, des.current)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the template, the deformed template, and the target."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f33028b71d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,10*3))\n",
"plt.imshow(np.hstack([I0,I, I1]), cmap=plt.cm.bone)\n",
"#plt.colorbar()\n",
"plt.savefig('indirect.png')"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"import ddmatch"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"from ddmatch.display import MatchPlot"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-4.3544485349606568,\n",
" 68.439461919932342,\n",
" -2.8084047154578222,\n",
" 77.514529361452901)"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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lusIaz6/rKoli2iIM2hYAN/dLfGHcwlRS40DrTgaTqJiKFDYFHjxs4luTCgWlceew3F78fPh4I/DcmsLxDukoLtBEiBWAzjDLhcfjGmdiPCT9aLvEySEDP5hWePtQPSW62+AH9NeJnMUSxpc3mD/oCAl88rjhGKwSBWcHxTI28wRTAt+YVLixT+K6XqOKXtnME4531G/78jYv70TF5CxC0GGn6JWha7tgCgB3DBn46oSFy7vkdkNU5eIRNATeMWLgZ3MKf3eMh3ZYmmDpaklkxBR48LCB70wp/GhGbat9fPj4c0MT4TfLGpd1OlMkC2m+Jr45qbCVJxxuF7h1QGJfCxvbFRWhqNGwo3s3wA/oFwBFhJkkSxinU4SDrQJXdUu8tKHxln73YQ+JIjnycESE80nCI/MKAtyY5CRB3CqQY4aesYBIYOfYzsYJC2meI7qa5UUipxSOtguMRvmk9eLQqeK2rrDAsXaJp1Y0Tg7ze1O6uqC6v1XiUBs7Qd47ZvLxmKjbpoYMgQ8eNPDwtEJRAwIEHkFdjbNxlobeOewPzvDx+rGR52BcOREsZWfiZ+OE1RwhbABv6ZMYaxEwai6EuC0w2K00SyX8gO4CIg6Qr23xidEREri0g7PTsClwNq7R1qDNPV5k061KrGZZwZK2CGNRgSYTjsGciFyVLFmL0GQAL21oPLWq0BYUONQmcLxD4pVNjbYgbJ8VBQLwvv2mp8pFgyArAu1b+yU+f8bCtb0SbUEBRWxCVom3DUl8adzC6ZhGRxBodrE3CEjm5ufTCl8+p3D/flEn00wWfZmjD3coInx/WuH+/YbjrrTsOposEs7GNcbjhM084VCbwE19EktZDaUFDjpM8AJsCfAesazwA7oDNBG+NG5BEY9f+/CR+gw6VSS0NuCEKymXzTx7tkwnCW/tl7iqm2mLrrDzSZazOADXShCJ+KRdyQIBqXHvPgPDFb7kL21otIckLuuUuLFP4vkNjf84Z+Gt/fKCKBcAiAYEru6W+O2ywj37TCgCjJrDDEiBe8cMfPu8wu2DEs0e29WiArpCAtf1Snxj0sLJIaNqe1xrDObDRyWWMoRkkRyDeaJIeHlDI10ifHHcwuE2UZeJv7qlcajN20/JbVrYboN/GTlACoH3HTDR7rENS5Z2ioBOKGlCTnE2/fiiwmyacHW3xKcuMbaDdKwAXN7p/PhEqb6gup4j/HxBIVEg7G8ReP/B+q/PqsimhRC4tsdAb1jg4WlVF5TLcHqH1/dJfPa0hfUcwXLJ7gciEtf0cAes2+AMgBU5TSZ3pfY0CTw8bWE2pXHHEA+1zpQIHS7DMkqa8JNZhffu90/VvQoinurlZqExm6qmLuOFnUw8XuDHvqVP4poeWUenACwNvqnPK6DztK7ysazmmIJ0a/i7mLH7hJZvEjpC3tKlpIujIVDOoglSAN8+r9AfEfhvl5i4ecCoyri3CuQ4uAIAEoUdC9yiYprm65MWjrcLXNUlHLl1AChpIFDzrY62SLxrVCJrAefi9WJwKURdd2fYELixT+LXywpKk2OHKQDc1CdR0kCi6P5ZZa2djtreJoGPHjURNAQ+f8bCa1ucXbll6OkSb6l97F0sZAjfnHRv4plJEbpCwO9XFL40XsJXzlmIFYBbByQ+fakBSwMnXIK50oS4rXBxw1Zeg4gpyn8/zTr0DRcrjIsdftrzRyJZBFpraIaiIpyOEZ5fV8grVnV87JjpaJSVtwglDURdvoGyBe5MSuOROYXBZrE9TPqJReWoNQc4oJsOy3Q0INAeBB6ZV+gOC3RWLAhSMO1Si6u7JZ5bY8sCt+xeCoGDbQKntqhOylhGrYVwyBC4c9jAZR0Cj8wrxArAJR3OF1CqSGjxoLaeW+P3M+bwuj52B8bjhH0t9dTieh44E9NYyBBiBZYY3jHE0uByNr+Q1uhuEo7XGABsFrgOVXu7tsc1nosT5jNAoqRxaYfE+/ab6G3avQVSP6D/kUhUDHVey/EIuFNbGkNRgZNDBrYKGqs5Z9dDwC6YelA6W3nCep5wNg7cPWLgUEVBJ69QN3+0DMshQwcACP77tT0SD09b+PARc9tEyy2gm1Lg5gEDj84rGC4KFX68wOWdwI9nFf7mcP3uIaecNfMDzRIPHRX4l1csPLGkcTpGeEu/rJpV6mY/XMZU0rugNZ3UGI66X/A+3nisZAkhw734fy6u8VeHzG0hwrk44WyCp3H1RQR6m4CPHTUdr5WlLGEw4v7dVlprWJowkyJMJDQmEoRoADjUKiEBfOq4AUPu/qTAD+h/BCzNjT1n4+yemLWAyzurB0DPLHo3FSWK5KiSIeIs/7UYYSQq8PFD9QOoC4oQckmZLU2OFrbCDsYnuiUWM4RH5xXu2WdACAHDJaADwGWdAo/MAdNpQofLtrWkCUMRid4m4LtTFj5yxKySkBWVe1CWQkAD+OQxAxMJ4CezCs0Bjcs7JY61i4YNSbGie0FLE+F70wr/cJn7ab6U0ehrqpey+fjz4bFFhRPd0vF7mkvzHNzn1zUmEhohye6d942Z6GtiCwmvzs2lDFUlO7VYzjCd8vC0hZkUG+EdbhO4qY/N7tZyhHMJvSeCOeAH9NeFkmZL3Zc3NTTYn+T2QWO7QaESiaL3iVaZ4ZexlmNtd1HxYnDrgHTs+sy7+LXwMbpk6GAHSSEE3jFq4MtnLZyJEy7pYEMt5RLQpWBp5e9XOMg6ZbolxTTPpZ0Sa3keIP3AwR2JWVETgi4XjCKmniKmwFXdAld0CUwmuHnr8UVCkwkMNjsHdkWEpIdL3maeFxI3O9+SJnxjkgO+mwJ+PKbRGa6XWlai4GKI9l8FSpPrgriZZwnhkQqVSd7iPozJhMa5BH/HbUHgwUNm3e5uJqXx7lH3/oTFDOG2wfqW/nIWPp8m9EeAE90G7h4Wdf5HW3tI4QL4Ab0hLE2YTrHnw/kkb+96m5jauM9DedHIjrPy9nSJpxeNxzVutiWN/3bKcvVIL7j4tfDxOnPolQhI1tP/YEbhYKtwpVzKCBpAR1Dg6VWNWwbqX7hEO4vIySGJb51np8h3jPAOoKiAgMvxFmyP9nIGJoXAkXYebJ23CN+ctLCVJ3zujIXWAFsJDzYLe2g2b5vdhmp4WRMDwHKGvXK8/NufXFF4x6gBN7opUyJ8ftzC/3Gp6Xocmgi/WdK4ZVC6Fpd3K8rzdD/qQom8uKFxeadArACcTyqcT7Kb4WiLwKFWgbk04a8OmnWOowDXT9Ilpl2ckCyyAqstQFjKcLI1keD5AYdaWSa7lVe4b8x0peW28oROP6DvbRQVYSrJ0qgpe5t2rJ258eaAwMubGlnL2zrQba5nGckioa9J4PFFhZc3uW35E8dMRAJs4emlzc67+LUAdnB1uEmAO0LLGI5KjLVo/G5ZY3+r8AzohuB5pz+cUbi8U9ZdHCW1E9ClELh/v4FvnVf4+YLGXcOsgnGyIwCYX3fbbYRNDrZv6ZMYbRFYyRJmU4TxmMYTiywLlQAenVfoCgPdIS72tgR4gVjN8WfshvkM01puSBT5exjw4GhPxzQOtAjPSU3jccJi1l0pBDDV9v0ZhTuGDE+7iDcbjWbi/n5F4bJOWRfMC4ownWTDuogJnI5ZONjGpnP7WrimsZjRCJtwDOYAMJ0ijDnsfgHeXT2/oWEK4H+dUgibwOFWibtHDAw282NytvDAK7HaKlBVzWa3ww/oNchZhH8/ZWGwWeBou8Tbh0VdpuxEl1TC0oS8cveGSJcIixnCXIpwSafE3x0zq4J/XnEAdAsSbo6K/NrOihSnWPK2QQOfH7fQFZKeAV0Knh96ba/EY4sK7ztQfdpYVE3zlFv+/3NS4ZeLGgXl7C/D78V9cQL4+4gE+AIdbBYYbN657ZlVC7MpQleY6ZWzcY2tPKGgeLZpxgKGmwVeWFdoDwm0BQVaKxQPC2nCiW73i/l8QuNAq3NAKeO1LY23DbpTAkSEZ1YVbnbY2VTibJyQKNQrp2rxm2WF/S3CMwiVbYsbKTXc6i1lxAuEr5yz8OlLTEdKaS3H5/G9YwaU7SM+kyJMJwlrOUJLgIPp/ftNdIfrj2c8RjjmMEe3jJmUrtKfp0uE83YWPpfmQmtPWODtw0aVaqvy+HqavOXHW3ngyi7Xm3cd/IBegyZT4O8vcz6By0gWCaMeF1SyyMG8NhCsZAnPrStMJNjM6sOHDfQ7zDBMl9Cw89ItoHt6ttT8PxIQuGVA4rl1Lka5QYJ3DTf0siXAdFJjf4VMsLbTFNgJ6t88r5Ao1FsHlFFS7tk7UK1hr0VeCQxHuXmqEgXF7npfn7DQFRZYywHnEhrxAjtkhgzm1tdzQDSgsZYjNAfYviBssgY/bAATCa4buGE9R8hawGiL+7kyl+Ys8VCr+30UEX69rHD3sOEZfFbtAeXX9Xhfti9saGwV4OmNs5YjfH/awsePm647h8eXFK7pcR7wYmnCLxcs9DUJfG9KYTFDaA8Bo1FpK5UEvj6h8NZ+6ZiBlzueP+DQHFe+fTpJON4O/G5ZYTLJ0sUDLWxx8e59At+ZUrihTzoG8/J7dMv+y6+xVSB0hQS0rbA5n2B5pBvNc7HDD+gOaFTgqrSKdUKytJPBlzTLsF7a5IByTY/ErQMSnzmtXE+aTIlcvVE0kaO3ClDRcefwOLd3dGWXxHNrzDu6oVw0NaXAyWEDv1xgp8VyIcztucOmwF8dNPCvr1l4clXjvrF6aqJE7pw/edgEA7xTctK9hwyBlgDBEFxYrgySRByEp5McRAciAmmLF9tMiXdWecXzV9MWMJ3S+Nm8hil5F2IKpqAMyYVaCeA75xVkxW0BKRCw7z8eZxXNqRghbHBWGTYEIia/LykEXtnUaA14a+mJuEv41gHurnVDokj43bLG3x5xv7Q1ER6ZU7iu153Tn0vxQIh79hkg2352JcvU0VKGsJ7j8/BENw+CeM+YqDqu8ud5wGUhW84SAhLorlFOFRVn+a9taeQV8NiSwqFWibcNSgxHxfbxWpp3AV502FqOMOgw2LyMWIGgNPCrRYWpFCFqAgdbpWuytBvgB/Q/Ao0ol0SBEJAsDTwTY9nV1d0SR9r5hIwVuJjnlo2lLXe6pqxicXpsWSnu9rxOrIoUAjf1G/jprELeoiq54c59doqmh1oFXtoQeHJV41abRhCimp+vRJMp0GzygvD1CYX3Hai2GlYeRdy8XUx1CzpehWe37bYQAs0BIKc0DrZKXN3jfPWeT2g8vabx14cMlDS2fxQxrWVpwnenFG4ZlIgG2MBs+zZbuZMo8G5tJApMJTUKit9T3uJFpaxWKiigLwL8aMZCNCAQDXAjWIv9OxoAzsQImoAru7wzzkfnFK7vla6dxADwwjoPYrmqq/qD17ZqKFbQ+MmcRndI4BsTCht5QtgE+psEhpoFjg1JvLCu0NMkXd1GX9xQuKq7fnRiGeNxzoQBLkyeT2pMJZnCGYgImBI43i7wHhfhwWqO0BlyVzABfA5cVUGpldv6p+zXWsnxoj/ULHDr4MVVu/hj4Qf01wlNXHl34jo38qyGeWGdZY3XN3OnaO2J0qj70asQ5SVL9KJbBOAc0YHtC+i3K9pxmy4FD8EAOCC+c9TAF8ctHGoVGGxmn0avRmkhgDuHeALTV85aeN+BnSEeJe1Ox7iN0yvDy2++kcJlPr0TUJxwPsnbeyEEggYrfSoxl2aa5spu9wN8dF7h+j65vfDVQhPhyWWFxSzhhl4D6RLzxPEisJDRSJeAVImQKfFi0RZk7/yIyTLPiMnHFTIEQpKz3q0C4cZ+iaWMhhTcfaCI7IWG6cJfL2mc6JF4fEkjU+LFJVFkd8+IyeeXJuBQm0BvRKA3LKoW+niBMJ0C7h5x/vwKijAeJ3zyuPP7LljcvzEWFfjMaQsWAQdaBK7slnjvfoGQIfCNCasqGNdiMUMYcqAry1BE2MxzJ/bpmMZUUmM6yTukA61MC8ULTLO4Leq7EX5Af51IlfikN6TYbk+eSGiMx3iLeLRdYjACHGqTOOFyojTqfvSiGYqqPriU4RXQK4NVMQw4AAAgAElEQVRyLYIGK2NOxzSu6qrnPGsbj6IBbt3/8azCx47xfb0Celn/fvOARHeTwH+et3BNN7tBKg/KpeDBr2siZD0Kz2s5wqjLTEiy275PDrsH/Kmkxv0estTTW4RLHIaPlJGzCKdjGp887v4cJQ28uEl48JCzbK+MxxYspEuEm/pNZOzsPlvi958sAgXFzW3TKUJPGPj1koYmDmpkU2WmTQmt5XYaxCIm0BOWiJjsG1TuPv7caQvvP2C4Bsxn1jROdEvH3RzAu4nRqNjeiZWvk+mKLBxgX58b+4y6VvuS5kA76qFAWswQDjv0eZS58Nc2NQjAF8cVRloEDrQI3NxvVCm0HltUe0qyCPgB/XUjVtAIGcAvFhQmExwiD7dJ3DViYLiZM7pvTnpLFht1P+YsoLfJ+baiV4YOd7c1QzK94YSgZC77tgGJXywoPHioujhnSg4+lTjeITGR0HhiSXtSLgCAiqLpsXaJwYjAzxcUvjRuYZ+H5K+oyXVLnSnxhCS3Lf16nnBtj/PhxOwirVt2v5VnfbPbd6A0F/QeOup++by8qXGoVXh+z8+ta+xvEZ7BPFbgWbMfP86DxntcKhaPzitc1SVw14h7tnk+ofGLBYWPHHHXzD+1ojDQLFyDeabEC9WnPBaqlzY1runm2sBsSmMmxXz5/lZ2ROwJawQMpvqcMJ/m3ZVbLYuIF4W32Q1FySL3ikwlNWZTrK5pDQoMRoC/OuT+XjfzhCu73Bfl3Qg/oF8AEkXa5t2mkzwRqNkEHjjgLMdKlbwDesMMXRGaXNLWkiYEXU5QclCblGEK3nI7ISB5obiqS+ClDZ7ycqxj54lCNs9bizuHmXpparBjrXWBaQ0KvH+/gXMJtsaNBgjzabG9IJZR9MjQ0xa5ZuflWa1uPPJ8hjDskf1NpzjQutUiZlKEzrBwbVbRRHhhXdfJOyuRtwjPrWl82KN4CbAD4PW90nNhWMmyH4rXbsDShF8uKtw5bLgGuKxF+EODY3p+XeMSh9mdqRJhPsUL3VqW8NgiG26NtUjcMrDzWRHxbe/d737SzNj6czdsFgglBTy3rjCdImRLwFiLwKFWiTuHeRF9bFEhbHj3B2wVyFUhs1vhB3QHFBRhLs3V9pmkRk4B+1t4NFtXSAMQrsUgIkKqCLR4qGAyJcJAxGu77k25/DEcuim5YOcEKViVoWiHSjnQutNBGTIECg7eAE0m8+nfnVKOt5fhdIsQAkfbBdZzGnNp4KdzCgEJXNNj4KCd2Ra1O72ULsE1yMUKTMW4ZfcLaY1hD/XDdJL7A9wwHtc41u7++MkEoSUotusETvjDOg9d8AoocymNlRzhPWPeOvefzyvcOmi4UiAA8Ic1je6w+9QeAHh6VeNYh7sMsKgIL25qfPiwga0801aLGdaE5yxgJCqQs4DLu8R2l3At1nJ8PvS57H4A1p/fVVHLqaRsplPczh+QXEe4Z59Ev0Pxey1HuK7H/b1amgvAHS4md7sVfkCvwFJG47FFvS2H2t8qcK9tElQ+YX42pz1PxnIm69Usk7G8deY5i9Dk8vi8RRCCkLUIpuBAXaYdvCgXrwwd4Ey4qNk7fahZ4+lVjVvthpmQdM7QAS4wNZsKT61qHG6r7xgEwJSL2+saAn1NwIOHDEynWGf9+CLPgGwOsD741JZGc4AvYEPworWe0whJ/hwMYUsG7dVsPU/o9qAxFjKE63udg6QiDhjvGnV+vCLCRIIcLRDKeH5d42qPgl7OIry47k3ZEBEeW9K4fcA9owaAUzGWql7R6U3x/WFN46Mer5cssmPoJxyy/LzFTUPPrmsYAP5jQiFgq0OGogLX9BjoCXPh9n+9ZuGefc42AABwNqFxtN3lPAEnO2VZ8GtbGtPJHcrmQKvE1d0SHUEe/3hjn3tStZYj9HosqDHbVnevWTH4Ab0CLUGBt/ZLT7vVZBFVRkO1SJW8s3OAT9qoRzaVs4CwwVX6hQxfTFt5VjBkShzQPnva2pbJ9TQxjz8QEa6Bsyw91OQ8yitocPaPAHDHkIEvnrVwSadEd1ggZHBG7Ib+CA/q/d2Ks9eLp/kXeCESQuBAq8CBVgkiwkae28rX88Ck7c+Rtch+D/wZaQBTpy1oYo7fEKyKUXbn6o9mLLQEBFqCzJe3hwRMwdlkrf65jCW7QabWxKmM2RR7f9RSakR8bKs51mgfbGWuXYp6Su7ZNY3D7e6UDcCFRRBwvMP9PkVF+PWSwn1j3g1Jv1lWuLKr3rKhEr9f0biiU8DSXOTfyPFw5ZUsF2F7mzi7vqFP4PJOw5FSnIhr9DZ5v6+JuMbdDjx/SfNC+vw6uyN+cVxhNMpJ1c0DRpWB1lOrGsc9FrCMxbsAt1kDANM2ZUqupJmTX8oQbupzX2x2A/yAXoGWgPCUEwKNPVpSJW9JIsA689oMvayRnUtppC3g/z+rEDC4dX0gInCkje1Hp5IKqzngnaP81Wm7QDSR4K13xqpvmQY4qJh2YHVaq8o8OsAL2839Eo/MKfzNYZ6ytFlw964JGeyU+OwaN9EcqZEDBgx3ukeIemMwIQR6moDhKDerOBX6frmg0BrEdqZNxIXMvAJ+OmuhP8Ja7FSRF4fzCY14kafXCAF8+ZxCS4C/8yaTM/yAZKVIxGS7AG1ry0satoacMJvmHcGXxksoKP57yZYEyu3jB/71NQUNmwYD1yFCBu+ENvLAgVaBXywoNJvcodpsa86bA0BIctPTu0a9A/Uza0wdDXt0La/luPuxLCHUtk9QvMCfRbzIgft8gmtDZ+IWesIC3U0Ch9okbh4Q6AwB5+Kcob+13z1kvLqpcblHkTFW4MVhqJl3Xms5bGfgy1kuhJY04YpOgTuGnQdCW5qwkfduKFrNEnrD7jWQkiacT2hkS4SvnrOwaktcR6POA9F3E/yA/jpADexaAc7Q3Yp1AJ+QluaLdjXLftBzac5OIiYHMQHWrzstHIpElcxPCoGRqMBIFDjRJfCVCYWfzirsb2WPkUpetcyjO3HwQSlQVDvlyxPdEqe2FF7eZO1u0X1CGIIGH/P9+w18Z0qhK1w95CIg+EJ1Il6kh0LGq8hb6wkvhEDADsrpEstHnTjsR+csNnJqk0iWuCcgbzf8pOxxd/1NAut5PlopePcSDXCR9VyccOewRFeTQNjWf3Pz0w7lUOvNozT7yxQ0q0iiAcLxDrktQYxleAeStjXnWYvf988XFCKmRpPBNZWgFAjYi4LSwDOrGm/tl3hpg1dLAp9bRc2WCkXN/jZhA/j6pIVMyd79mUB7UKA9BLSHBPIW4bJONp9z4+GfXVeenHS6xF2k9x9wV6a8tKHQERL4/ozCbIqL2vtaJK7tlRiNsqrl306VcGW3czAHuADcGXIfHAPU9yAUFWffc2n+Wc0xXTnQLHBdj8RQs7fj5m6CH9BfB3IWB0WvLz9VJLQ6ZOhK84k0kSAIAP/yGjeIjES52HrXCO8O0iXCZMJy3QUol4HNACAlZ+EfP27iiSWNL4xbePc+YztbN4V7phwydjJ0gBeKd4wa+OakhZND0pVDB5hjL2pgsFnitkF7yMVRc7uOEDDqZY+Vr6PJ+Ub3GUnuFsLablPvcqFUFjKEd44aGGyWGKy5ragIr25p3H/AcAwYyxmNaAC4rMuZu31tS2OouZ6OMaRARALCIpxLED561N3ONW8RPnPawv37ucU/Zwf9nCIU7d1AzmJapDPEGXa8uLMimlIgKMvfJ/Prtw9JtASkXYeo5o3jBVbkPHDAPZgvZTRSJcIRj0Lw6ZjGkbZqqjJZZHfM2bTGXIqQtoCRZoHDbWx6V7uTjRd4QXKjwwCeUOTVUAQAy1mN9pDEE0sK82nm0/vsDPyt/RzAvz6p7H//F5QtCiHaAXwewGXg6+zvAJwF8J8AxgDMAPggEcXekKO8SJAoeU8hAjg77G1ivnfJ5uXKPHh7iH3Fm03gw0dNR5VGo+5Iry2hBH85IUPg7hEDR9sFfjijcPcIZ6yGbCxdrERvk8BVXRIvb2pY2v1iDhqcVQLsDbOWIzw8pfCBg1zQCwj3gC7g3vDUKKCHHa7FeIHpLKeAnLO44ObmobOY4QvfLfubTJKnSuTFDc6Y3fDsmsaRBtz506vMr+80RTkpRXjh+dQlpmvxnYjwlXMsU3RqwCnj96sKV3s0CQFc5L3Go40f4MXshl6JVzc15u1dZ0ED+6IC+1oETnRJ/Of5nXPCCbMpljp60UxOE4ryirBg73Ln0oTlLNDfpHGwTeKWAQ7gld8pEdekuvZYUxFw4Rn6PwN4hIgeEEIEAUQA/E8AvyKifxJC/COAfwTwP96g47wowNV35+x7LUdYyhImkxqTSe7WG2hmy9cbeiWGorxFn0xolLR2ldw1mn7jNcCitsFnrEXigwcFvn3e2h4e7ZWhO0kP39Iv8dnTGuTRCxqUQLwigz85xN7pP5xReO9+wzND9xp/59WslFeEkMPZW1nsqsV8mjDULNwNqdLe3YnnE4S3DTl/+KtZQtrDjCpnEV7c8Fa2JIts4vbxY4216W/pd55mVca5BEERecorE0U2jvv0Je4ZRKZEmEwS3l5jCcFOhfyZTiY01nM8Lm40yhTgdb1GVY/Gq5saYw1842fTGvsaeJMvZQg39PIOZc6WMG4WePDMSFTg1gGJ75xX+PAR03WKUrrECYzXIrZb0TCgCyHaANwK4KMAQERFAEUhxH0Abrfv9mUAT2CPB/RkkWzbVc64l7P8ez1PaA/yqDQBVokcbXf20c5aQMSDY/fyOgc4Q3eTLgvUa777IwIPHjLxn+et7cc7IWKyhrgWphR425DED2e0q3lX0BAo6p2ILYXAPfuYT39kXsEU5BrQwwYcX3f7Pbm8V0szN18Lr8xrPu090GIuTbhlwDmgpEuEWNG9IenlTY0ru9yz2GfXNA63eWfnv11mQ6sWj6L7dJKLuydcaB/AnpC0rHDHoHdR9Q9rfMxe7o2vbGocbeM+hYW0xqK941zIsJRwpJmHo1zeyT0Jbq83mdSeOwUisj9/553VfJoNvFIl9rMZbOYAfnJY2l5E/LjlrEZnGJ4zYjf3YENRGReSoe8HsA7gS0KIKwE8D+D/BNBHRMv2fVYA9L0xh/iXg7azkBU7cI/HuMloOmVhIMKNI8c6uLGhzKv/y6sljETdhyI0mgDjNV4OcB9gATgrRgCgu0ngbw6b+NwZC2diCv0OBuMRE4gXnZ/3SLsEQePReeU4di8o64umphR4334D35hktchQs/NKEjHdA7rb+/HCVsF9StF8hnDSJcMuKt5lDbk0HM2lOHt3yu6Litvh/84ls85ahBc2vHXgazmes/kpj2yZiPDEksJtA4ZnwDod4z4Gt91C+ZhObWl83EF3XrbLXcpqPLWq0RoE/vlVC10h3nEea+eOzNYg+xn9+2kLtw26a88tzU16d3t458QKTBm2B3cCOBcxNeIFVsZETJbI/u1h9+x7LQdPUzaAW/73It0CXFhANwFcDeAfiOgZIcQ/g+mVbRARCSEcLz0hxKcAfAoARkdH/8TDfeOgbXe2svZ2JcsXOJ9EHLzbQ8CtXRJXuGRHithH220gA+A9sAFoHNAVEUzhHJTKHLoT2kPsbfHSJmGspXpABcAZ+lLGOY02hECTAazkCKe3dF0XZchgBUctgobABw4a+OxpCxMJwoluqrvom0yBrMu2gTtUPch3B2wVnLXbBcXDit3kbqs5ni/qxp970THjcXIshpbxzKrG8Q5vHfivlxRu6vOmUcbjtN1h6wZNhN+vKNzl0qlZxgvrzOdHTF5M1it056tZtsuNBvi7vWvYQH/EWQmylGXFiJvvDcCF6K5Q/YDmMnIW4dk19pz/4riFZJF3u6NRrgX1R3gh/c2SQltIeC5mjVw2AZ5u1elReN3NuJCAvgBggYiesf//HXBAXxVCDBDRshBiAMCa04OJ6LMAPgsA11577evMt948/HxeYzat0d/EwfvQAGfelRTDeIzQ47FVy5SYTvEqHmUtQrdTNc9GQRFCHiespd1VLvCQAAKscx6JCvxoVuHBQ9WmUM3mTmHTCS1B4IZeA79cVBiKiipjq+aAQKbkloELnOgWeGmD8PiSxtsGqxs3vDL0sle4G5xeMeYy9HcxQ+iPuHO4y1lvbfNcWuNEd/XlUrQnIz21orC/VeCZVYWCLRcsD8TQxEXFu0fk9li2sFHdbDST0tjME97n4W+ibBrl7gaB+nSMd4D7ahYfS/OxbhYIGznCU6sabUHg/3nZQluQ53qy+yHLPSOmwHenLFzRJV1dK8uvd7zDuxnnfIJwsKIZL2ftSAjnUhqJIn9WQ1GBG3t5WpDTTmgpS7jWQzoJMB16yGNQCMC7uIMV99kZGbn7s/aGAZ2IVoQQ80KIo0R0FsBJAKftn4cA/JP9+wdv6JG+wbh7REIIb5epZEPTrcZNRVkPnxaAg4FXhu5pkQtvG9uwycMSTg4Z+M6UhQ8f2VHaRAICWQ9vgGiAO0av7ZH4yWy1I2PU9O4k7QxJjEYVFtKEn80rvGNkR2dcDnolTXXZccjgmoITyvfUxA0y6RIhUWSJX6pIaDKrlS6N+POVLNU1Y5VR1ocXFOGpFY15e2JPzh5Eki7xQpux+JhbzfIQDOaO20Lc+fmHNQvJEr/fNrt7tTUITMRZEjifYW121OTnqQySr26y93vtMRIRiraUMWsxJXO8XeC3yxrJEvdNJIrs4d8WBDrDApbmOazvHDVcdyXpEgfce/e5f2blMXIPHvIOI5MJjau6JX65oKoolNEo8+69TcBnTiu8bbC6I7T2tVYaLLpE/L14uVcqvbMbmUgoLGc1NvPAFV3S06lyt+BCVS7/AOBrtsJlCsDHwPHjW0KIjwOYBfDBN+YQ3xw0avct2c0hXnRJo1mgAF94Xs9R9PD4Bjhguw6xaJChlwPk1T0SsQJP3Pnrw6y5jjTI0MuB68Y+iamkwh/WNG6wvTRCBgeponK2u40GgIIW+NAhA9+bVvjBjMK9+1i+JoTYztIDNZLQsIspWEFxgHp4mrfnzXbHZ0ByfeHnCwqbeTZeOtAqcahNYC7lbEtQxnKWcFNf9bFnLe4beGFdoWiPKhuJSlzZJdHXxMH4FwsazSYch0DHCqxs+eRxs4puKCiWTyaKXJch8Pt/coUHTqRLOzbJ5Z+y4dtnTpegib9ni4C8xe+57HhZUjuF9ZGoRJttJdsWYuqMiPD5cQt3DRueBnGvbrIBmVfPxWKG0GTUu1pmS4S5DPPgM0mNWJEdFGsplDLiBbZNaPeQBMeLXKupdXmsRHmMYrN9fWnbQqIsXljJcjC3iIvnA80Cl3cZ6PWQqu42XFBAJ6KXAFzrcNPJP+/hXLxIFdny1ivwpy8oQ/cuipY8HAYBeyCzy20S3kXESkXJW/sltgoKj8wp3LPPQJMdVInqeW6AM/R0iSCFxD37DHz5nIWxFt4el8e6ZSznYy9TMkFD4IEDBn40q/D1CX7dzjC33met+jmtYYcMfTmr8YNpBQFeXI61y+2gs5Il/GzOwseOBbYbuSZtS4T1PPDqloZFqJPP5S3OwDtCrFyaSbK/9mqWMNbKjTq3DQrc2Fd9uRQUT6hykxn+Zknh2l5Zxx2HDIHeJl5wfj5PuH+/Ude+r+0xdiUNPLumsJIlvH3Y3DYnE2LHu8a0h618YdzCO0YNxzmrZcykeA6qlzyTiPDKlsa9+7wz1rP2GLlUkTBvB/D5tEaqyB3PI1GBQ20CfUVyHSUH7OyevK6tlSx5ulfyUGmNiMnyyZUsf/8tAWwLGC61B5I8Mq9wz9je7Kncm+/qDUCygYcLwBx6c4NPNG/B0z+8qAlB6SHvgruUrzyVyC0ohwxuvAF2Rsn9xzkLz69rXNtrIGgAOZddSNRkBQHABda3Dxn4/oyFh+yO0HLAd9oyV1IyphR475iBFzY0/mPCwm0DBpoM5lVrl6pKH3ZNXDh7eo2tVV/a0GgJVGeQhYodgiFZkTHYzNvpr56z0B8ReHpV40ezXKQr+6uUjb3+9TWF5gDr96/rlRz4BfCvr1l4V3v9l1aezOMkM1zOMjXzzlH3L/uZVe4sdfJikULY1BsPuGg01WgiwR4z+z18xAHgWfu79mzeyXI3sxO9UVbAzKc1XtrQCJs8qGPEDuBXdBnoa9pReX1vysIRh8+uEgsZ7UmHAbYlQ8Xx5MqNe1nCsv2bwNdWNADcPMC1gNoi85mY3nNTiirhB/QLRKJUn0HWIl0iDHrNOdTUkCP3GjEHNJgbahtwWcQj5WoRMgTyFaqRgBR4334TXzlnoTfCHazZkktADwicT+489tJOiYUM4aezCvfvN7YpGSc0mayCUZpg2DTLNT0G9kUlfjRrIWOxOmF/a+3xckCfT2n8fEGhyRR46Ai3zZ+J6bqCaVE7D8RIFAntIW52ua6Xm2XiRdoe2jwe0+iLCLxrtN5FcDVLCBqoW6iICC9uKNw26PxlPbHIXaNulEWqRHhu3VvKCLB+vdFUIyIuct7U7x2oY/YMzfft9w5or20RLuvkQqeyrWgX0rb+PM0Okt1hAdMAPnDAcBzGDfAiPJsm3DXi/XoLGcIJj9msirh4Otgs8KMZC0tZ3lH1R3jRvqpb4l3NAr9eUhhqlp6zSPfiUItK+AH9AnEhGXra8ua/c4qDm9dF5zViDrA5dI9jMDwMuJxUI+0hbgL64bRCSxDIWIRuB1KnJcALViVODkl8dULh2XWNZlPU3V5GmSfP1NAq3U0CHzli4msTFp5c0Ty2rU1uD0ooP98PZhVODhk41r4TOJykkm4TjmoN1ZoDooqLnUzw6zp9vzy9qP5Jl7O8IDhlxDNJLki6yVsBlile1cDSNmexnexHGgT92TShqAhHPWydAeClDY3LO6Vnt2a6qHFqS+OyToGvT1hYybLdxVCzxOE2ibcNCrQFme/vDgv0evDwy1lCa8BbPZKzeCBMpewxa+3Y2S5kmPoqaZYa7otK3Ngn0BWuV5Nt5IEruzw/AmzlCfs8VDu7HX5Av0Aki96mQDypiLeqGzlCwS6ilmy1g0Vc/BFgTlQAgODgHDR2tv8ZiyA8Kpvaw4EQ4MzcTaziNkruQKvENT2EZ9bYhMkJzQFRl4GX6ZOvnLNwuE0gU3I/sKjJPLqTcdVlnRIrWY0TPQYmE2wWFTHZxjdsAA/sN9Bf89k7TVHiGaT1r93I8ngtR7i+1/n2qSTh+t767/2FDR6UXLs4c/OPxq0DhqvFwHJGYyZJ+KRHExHA9rhH26Wr8qOMP6xpXN/nnZ1bmv1f/vbwziVfLhou2ZOHljJcrDUkF6Rv6BUYahaO3cGTCcIdLk1aZbA3i/d9FtIa3WHg1S3CYlphIcPZN881Fbipj4dYf3dK4T0evDd76HsPNgG4T+FEt+dddjX8gN4AJc0ZxFqWEDE1nlllP+lMibaHLrBkjNvqfzKn0GRwwAkZO3pkQzB/LsAV+3LMJgBFpZG3vbXjBeDbUxqm1OgICXSEmMscjUr0NvHjGmXobr04TLk4B+wb+9iE64V1jcs66wNNc4CLpoqoKlC1h5iq+PGswlgLAXAOUs0B3sE4oTMkMB4XGIhIDESqb1vMEPIO78dpceIMvf6CTpbc5W6WZtmjk8NfQbEyYl9NFp6z1S93DNW/17Nx/nzdPFSICL9Y4GlQXp492RJPb/pYA1+XjRxnsI1olLMxjY4QN1C9tKmxbDcQNQfsyUPNAtf2GHh61cJIVOLqHvfFJmU7PHrNZQW4GeuaGt14uVg9b1M400nm/mdT7O1+TY+Bnqbq7Hs8pl27f8tIFHkH6tWYxf4zPuWy57GSZQ0z/wCJAiFZ4kBe1GW6AWjO8bYvGgB6mzhziJis0ggbhH9+VeG/X2a6NhadjWtAaNw57H6x/H+vlbalhLECF6AWMhovbFjI2QvCfJqLSE4dc6Z0N8LyatQRQuCyToHn1nkU2RU1gwoMIRANwnEO46E2ibEWHlTgNhEp6kDZlNEe4vfqhNYAK4xqETL4WCrhNoM0WXQPsBt5oD0ERxpiJkV1Tn0A8OKGwkgzP+9aTsMQQJMhEDRYB+7V/HM6RtveJ154Zo27S9sa0HzPriuc6K6mUZTmzHvN1luXOfCgwTa3AxGBt/SxB0pl9l3ShKkU8PZh76x6KskmZF4NdJZmyuTdo9w4NW+7IZYpnJGoxPEOiWxJ4S39hqeL5WqOXB0yy9jIc6evF3L2ud9oqPluhh/QATyxxAOK24IC7UHm6VqDAq2BnSag//tlC/ftd8+q0iUOmF4ned7ytsYFbNmi5Dbp5oDAcBTbU2CSRcI3Jy1MJAkvbVq4vJMLQJU8bHkqkRPCtorFTQXTFZbojyg8vqTQ21Q/5LgzJLCVd1ay3DIgMZFQeHxR46TDgtUWFEgUnI+rNcjZv1NzUWtQIOmwEIRkvS2Am4Y/U3KXinq1ip9P6m0/lLztZT4e15hOcmb7szkLIYOn3OQtQsrWj/9yUaFnU6MrLNAREttNRCHJAb/RyLhMifDyprs3DLBDMZyOEW4fEHhiSWEzz7awiSIvUr1292dfk8BajvDfLzM9+fOpJA/38NJ6A8BUSrt2Y+YtljCe3uJRcp89w+fSSLPA9b0SwxUUDhHh0TmmV7ywliNc6TEJCbD9WRoE9K08oSPItZytgkaswH+7pEM2XDB2C/yADuBDDTrdchbBkPDcIl+IZDGnyNPZDuCAHnAJ+q1Bvthu7peIBgRe2tD48jkLB1sFbhs00BJgfbXlMh2o7E1eUDy1pv75gbwSuGtY4uFpCx89alYdb2dIcNu0w7F1hARAbGvaF2FevBKdIYHTMeetgxTc+BIr1HuCtAR25JKVcKJcNJwVQCUX9QtguzM6BAIiwlSScLhV4iezFs7FmXoZjQqsZwl/f2m1GVVZB37bgERrUGIjz94x5xN6u4koaw9IeXxJI2KyhXLE5GMzJWAKAUOytGRiKhcAACAASURBVK6vqWy1zItEUXF9JWVPWUqV+BsOSJYZdoZZZ82LSPWO48kVhUs6vIuhAO8gj3nMMAWYd59JEe60jbbSJc7+52wNesL2YSHiMXv3jDkPCwHYU6XJ3uV64UL8WTby1TUuZcsrN+3vYTPPFE+qCHxh3EKnTWd2hoSnqmy3wQ/oF4Bkkbf+XshY1NALopEGvTwX80JsmrvCAieHDdw8IPHUqsYXz1i4vlfCsMeQuSESYL7fKaC3BQUSRfbmWMoQfjSr8IEDO9lkZwjYdMmypRDoCAO3DBh4ZF6hK4yqTsTOMC8GbuiwaZfaC7clWC2XLKN2whLgbB8MeC+SWwV+v7U4E2OjtUcXeADEf7uUJwj9dlnhmIN3yVSS5XyH2vi22owvVSR8/oyF9x80IMH1hIxtKZAuwR74zVLM6SThUBuPwQtIDvjRANAXkWixOz8jJuHzZxQeOGB6ZpdEhNcuoElI2QuYU12gEhNxjZBkq9/5NNeRhu02/stGjW0flm+d5yHjXh2YS1nCYIPsPGexuMBtsAwRIV4EFtIEAY3ZlMZGnoN5SxDoCvE4xH0tEhIaze3A7UN7N+zt3Xf2Z0SqRJ4e1cAFtv0rQpuHYqGkOZi/nqnjIUPg9kEDV3ZJPLaosJQFFrOEsVbn+0dMgYxF6HTI4JtNexalItw+JPGNCYUnV/R2W3tnWGDSIbiW0Rlib+x3jBh4eErhoaM72/eOEBd83Tj2ThcevSUgkCzW/z3YwLirEiUPKWisUE0haSL8YU3jyRUeUPKhgztWtUTcqv9uh+D4zJrGDR4NO79ZVjjRIzHaYIDDb5ZYb/8Oj4YkgIc2twbrF45aLGbcm4QqMZ/mz6EyKSkHy3L2PZ/mBaglCPSEBa7uri9gAjuDy9896v2ajbo/gZ3sXAieebue52LuWo5v28jzzNt0CThgAKMtEjfYssbaxWQ6qdHTtHcli4Af0C8ISZc5oZXIlAjNDVLrvOLimRssj0yyETpCAu8/YOKr50r4wxrzl2/prx+44OXZIoRASxBIlrhx5L37DXz5LHdYHmqT2xy6G7rsLPyt/QZWc4SHp9nEy5Bi2y8mafO79cfPuuVatAZ5eHMtnGSLAvVeNmS30DtRLuWAVS7yJouEH8+yf3t/BLimR1YVntfzQInqg+NyViNeIFe6YjXL2W8jmWJBsfdLI905wLLJqz0aaMo4E2eOuFGSMJkgHGxl6qIcvOfTBCKeezvaInBjr4FH5i28pd/bXmAjz8lBIy5+JUs45rA7AvizWM1yd3DGInzudAmJIs+K7YtwXeCSTonesECJgC+NW7hz2PtzixXqC/p7DX5AvwCk7KzEC7VNM07IuVAdZZRcOjxfDzpCAofbBCaThPlJhfeMGVUXVrPp7arYFuSMuDvM2dp9Y2yo9beH2Q8+41K8BDjLnklxBn9Lv8R3cwq/WNDb2WaHzcE7NdN0hAROx+qPq8ngha7W+MtNU18LZXfWOu0K0iXYA5UFzsZ5gMe1PRLX9Qr8v6+qOgva8ZjG8fb64PiHVY1re6Wj7pyI8NgFjIwDeCbp/lbRUHe+lWflipcvevm1z8U1/sqlRkTEme58WuPlDQ1DAq9uWRiJMkVxywCLBMrvt6QJqzm4DgEpYzGjG1Ipmjjb7mvims9ajlUxZSOtZIl3AQXN4+Wut0faOSm7VlON2/mJeOJUo892t8MP6BeAVIkabpUzJfJ0rwN4DqbXRV2e+/mnICAFDAE8eMjA71Y0vnTWwn1jBkbs44+YXMB1Q1uQC3hlDEclbhkgfG+a7Xbbg87FS4Alnc+v87+FELh3H3vFvLAOXN1jbPPoBxxetzMkEHPI/su7hlQJqGy8dJJgOiWhXnTLVoFHBz46rzCV5Mn3g80SC2mN9hDqCtiTSfaRqURB8aShu12sV6eShFSJcJVHazsfJ2ejbsG3Ei9vNu74BJijDhnYlvNp4qx3Lr2jA4+YrIaRAvjYUQNtIfcTcCnD8wC8xAHl+w26UClErMI5E9OQAL45qbCRJ3SEgMEIU1LX9wp0N7FU9itnLVzZ7a1CYYWL5yHtSBb34BzRSvgB/QKQuqCiaGMOPd/AC92tZf/1IGgXC6UQuHXAwHCzwMPTCnePAEfbJSIBYCvv/vjWoECiRt99VZfEcpbw0zmF9hAHQifVQZedgZdlkSGDaaD/OGehOyzQGXJ/7ZYAU1JOFrwtAYFUsVqNYgrumrU0VQW22iXBK6DPpAgbBaA1SPjYMXN7sZ1NU92w4kyJthUclZhMsFOgUzcl2UMpbht07xot47Utjf6IaKjm0EQ4FdP40MHGl+5p+zmfXOEC5lJmRwN+aafEO0Z5F/bihoIh4BnMgcZDtMtYzhKusRuTLM1Z92Jm50cKNmxrCwJ3DLEVsZPnTVma6TVUBuBCfaMMPV4gdDSog+0F+AH9AnAhRdEL5dC9dOilmuD0xyBY01h0oFXigwcFvjNlbR/jgocMpi0oMFVT+BRC4K5hA1+bUDCEcyYN8AANU7KCo8Ve3DpCnKn/YEbhtgHp2kAkBMvItgrMX1eiJcC8fu39y7RLeVfj9Mk5BfTFjMbvVzTm0oT9LQLvqdGFz6bq2/3Lft611M3ZOLfnO+F8kpuIjjTwWCHbSfIdFzBgYTbFaiqnFve8tWOgNZ/RWMxwB2zEFLimR+K+MeGYoc6kGk/5AbjAWtv5WYu4re8+FVP4xQIXLrtCAv+bvTcNkuSq0kS/e91jy8iI3Pc9s1aV1pKEkEBqCW2AECAJpG5AqJmeaRubsbFn9p7Zm/79zJ5Z/5i3zLyZHhp6AIlGCNRaQRtIDUIrWkprLVlLbpX7Gvvq997347hneHh4uDvTMD1U1WdWJlVWZIS7h/u5557zne8bamW4qIPjlmGa7/jVskTM1GxvhkyVvju/rHqn1NycZPc1ZffezbmG8zqgl4XCfFaZXF+FimkfZkiqvQpFU3c7ZeDVVUEMFABgtB20GxCkK8ByXiJvMMR1agDG9FrtVkiiEzbjQwO/nww9xGtC/xb6Wxi+sVfHT84YGGxpLqIFWCWXxp/rnOGuCQ3/7bgBnSlc2+8efDojDFulel34iSTHJ/tIK6bZFCtQozY6mQ/JsDvTxQro9p2RsylqBXRp0vLe2ZDYLil8so9DY6TnbQ/mVTOjdMq5kkhX/c8q5v3zeRc2h1IKr61KfMpHARGgwB/i8JWQBUjT/ZJOZo6xWzospMWSrlDDdriV4bIujnSZtNq9Pl8qOodbhvwXnZWCwpDju8lUauUbi4eum1ow1w8wDDbxIl0vKlztszhsBZj+BEwFRb8M/TyonwPneUAvCapHRjSazgxrVkZA2isaA6Ri0JjCZIJDgbb0ShFv1zANCPJV4o/PZBWKOwoFg/i5FZM/2x4mAwiN07a1LwbXLbpFW/ynIMwZqi5iLu0RCuo/Pm0gW2k+LdoeZkg1G8MPM9wwyPHSIgVFN02Mrig9iOOJ+p9f1cOxVlA4uqNQERJhrfFh7jIXAyc8h4tsQ1Ruly5vSBQN4NtHDcRDDIe7OS7qINmEj7ZVQ9a2WqAgYq8Tk3kCsXdSZYUzGQkGGknvirjLIc9mFarSv3EJmOJaPhrlNMAjMZ2iAaVXVgyEOTUoB+OmDrnNCejtdYGpNm/TCIAYKTFTCM33dWY57/SWxNkc7XAqEhiJkxb6ZV065rICmQrDp5os+IDVjA1i5uw//SkkDVk53Y6EoiGirGnDdzIlEdUYnpw1kKvS3Ei+Cvzbi3XfnsAfE87rgN4WZviqTy1yvajQFpG74/duyFQUjqcM3OVwZalKhXSZsoOlvAKHwm9WJNaLCnGd6FcjcYbxJEdXhFQS/8lNUa25lks8RI5Bf3tM4HnT29P5wLeG6KFt1sC9uJPjH5ckHp0x8MA+vWFh6osxrLrQDxkjbvWJlIFfLSncPtp4fF1RhlPpxoNvPlzE6hujrL6GvlVSeH5BQirgq1N6Q+afqqgGrRQ3s+j1InG5f7VEteg9bTSRO5+lRf1vjho40M7Ra9rStYWAV1cErvNRQARoAdkxKY9KkVlxqkKCYeum8NZaUUEo+m4SIeCKbo7BOPN0x5rJKE9dcAtLeRLFaoZUmZqo729K5KvAD08aGDXNLK7p1dAVrZ+beHvd2w0JINqsVN5S0wBNkva4NN8tlAxylopw4M11oo6mKnTMeYPq9AlTwiNvAINxKvHEdZL0jYe8d8x/jDivA3oQBLGVyxvKdew/xKlb3x1jiGoS81mG+/fpkOZ2ebWgsJCTeGvdgAJlwBpTTWmBQHP7udpnNk5Q2tEWZmAgd/RfLkrcOlxfcrBq2Ttld4XCiEZBa7CF4ck5gXuntLq68kCc4b1N9wPQOcNkEjiekhhLsAYOcleU4c214MNFTuqi/WhPpyWeXRDY38aQNdAQzCtCoSoa5RqcZtGFqsLTcwJVSdZ1XxjTdksI3z5aY6WcTEvMmQ7222XKol9eEXh/S6I9DLRFqBRnSCrxGYpKbKfSEmEN+MEJA+kKMXWsXV1vjOGKHnOhCAFPzQlMJHnTmr2FqqQE4ss+CowATVjaGVyZCpVgFnIS8zkFISlAawy4sockJrwWqfWiwtVNpIgtWEJafovdVpl2OJkKNUetP9slusaGJNYWY3Qth1s5Lg7TbjQRqqeq/pePq7imV/PUnz8XcCGg+yBbrTX4moF0XAI0RM2rzRlDd5ToZBd38l1br9+sCCzlgf/ysYF9bQyHOjlGXbwWPWxDEfYJ6IwxtIbI8f25BYmXliRuHqoP6jRAhAYpWwv9MYaxBMPxHYWXlurVI3ujDKlKc8PooTiHxhVeWBRoizjkAUw9F+c0aTLUbLioPqCXBNVyLTejeyY1ZCqmyqUDqQrQFmmcyl0tKHzSNIuey0o8My+gc1IgvMTGm8xVKZvuNjPUHpumwzPzBjojwIEOKtGkK5R1rxQkdE6uUpascqYC3DbC0RvjaA+7l+IAYovM2jRUvLCUV+iJ+dMLAZoQ7Y8pvHBWYD5L5anRBMNYK8M1fRq6zGv00LSByTbvASXD7De5SRHb0UwZsSzIxHm9SPz4pZzCEwWFECczje4Yw0ALw6EOhs4oQ6tpf7dTRlPnKOu4gsyJnAu4ENB9kK0EydADUBZFcx0Xxhg6o9TQSoYZru7hOLYj8dKSQMkAruolp/kgD2jIQz7XQjzEUJHAvVMaHjkt8KtliZsGaw+rJcLVDH0tDOtF4EsTGn44beC9TexaiGmcoTvKsFZsbCxav3sqrfDZEQ2Pzwh8c1/NkzOsUTM57ZDojekwDZPrdy52ffeNosLRbYXuKHD7iIbBODFStkvStYyVrii0O8otZUH12O4o8Ns1gbfXJT4/xvHzedlg1LCYI2ldZ4ArC1Jl/MuDOuIh7yGhIxsCe9qYp7ORhYUc0ff8pi8BCujNyiiGpEVvLkO9gEyV6v1jCYbLx3X0xhoXOfsQkBe2y7RI+jG1NktAW1hhLiuxZg4SrRYVclXapfXG6B5kDPjXF2lo8WAKpJpMHtuRMQ3evZRQzxVcCOg+yFXdh2jsCERZNJRvQLbs5xJhyo6u6dOwWlB4c03gjTUDV3RxCOmVn1tNUe/XxE1996E4w317NPz4tIFXVoEbbJotTuqiHf0xhtcy1GT6yhTxzDsjbDfoDbQwLOcVRlobf9eSct3XxrBd4nhsVuDre2uKfF1RaozaAyFjbFeT3h7oreGizaLCT04bmEgydEbqTZeFIhVDJ1Llxvr5aoEadR9u0Qj+Awd0VASgM9ngeHQ2775gnUgRvTFI4P1oW+HT/cGKuCdTCnt96I8WFnMKV5j1c2W6Es1kSK9+KU/Z8XiSdoen0xL3+gwzbZeo3u13/24W3TNvwzS1sCZBT5omIP0txJOfauO4rr/eVm61oHBsR3oGc4C+R+fMgBNpl17JuYoLAd0H2aryFN8HKENvpgZnwfIT9YIhG1/T38Lw5QkdO2USjVouAB9skkmB2wPm1RS1YNnBAcTx/dMpHT88ZSCuA1f2aOiMAO94DB/1tTCsF2iAqCNCPO6n5kgeoDNK2+JmC0JMZ4jqVFr5ZB/HZkng2XmxywW3AvqeNscxm3V0e6CPaGRG8uwCjdZXZaNRtSFJ+tiJdKXxO1stKEQ1UhL8+l4diRDDB2l3R/rFnLtRyYdbEp/s8w/SG0WaIJ1I+gcapRRmshL39vg/rlIpLOUUDrQrPLtgYNZUgZxMknb+l8ZrQ1Bvrgn0+Uw3A8BGgOEeoFZKyZgkgEWTUrlVUuiMAINxjvEEx2xG4IH9Gto9Bpm2y8FohqkAr3N6yp7LuBDQfZCtKt9ufKGqMOg79t9IrXKiKoFm8x0dEYbbRzSsFSSKAvjuMQM3DGq4pLN+2+9XQwca7eBaQgz3TZFZc4vOMJ6on/h0IqbTUI8lbDWe4PiTAeDRGQPf3KdjIM7w2qpHySZGJZnOKMfnRkke4J0NiatN1kRQka6IxrBelBCKSj7vbsoGc49mcsTpisKww6d0JiOxUgD+dI+2S8k8m5cNVmtVqbBVamy0bpYUUmWFqQBB+qNtiYs7G8XT3JCqAFKi6Xi7UgobJeBMWuJESqKigOm0wmSCmCidLr0CgBqYbgbYTni5AVmffTYn8eG2hJCkSWPZ2t08xNHfUnN9KguFX5yFb8bsVMFs9tluC7MTFzL0C9hFrorfTw3dUIj5BH2aFPV+jcbJODfEgRcXJY5sALeO8F1x/yA19NYQGqiF7RGicD5y2sAXxzVo5oBSs8Wsr4XoidZDd1k3x1ZZ4fFZgfsmuemz6u4U1N/CsFZQONhhDSzpeOikgYEWhq4Iw8fb7kyXrIPpokFhpQDct4eye50xCFV/8oaEa4aeq9afW66qsJADbh3mGLQF+sWcwjW99Zn4mslVd9aKP94KFqSFUji6LfH1vcEev3mzxu0cgJrPko7MmbQEY8BUkmMswdEWlrh70v+914oK1/gwUgAK6PvNXapdD2YhRxl4TCcuulLAHWMappLNGSyW4qEfw2WnrDDiYcoO0P0Z1uDafLcjXfE3qz5XcN4G9FRZYTYrwUHNF27+sQwFIhpRCIsG+YV6EQaJthiA5eLT+/KbJAVoqImBtq/372M4uqPw+IzApV1Uj6VhqEYzZzviuvu0aG+M4cvjGp6cE2jVadvbzLTDHpQt3DjI8cSswAuLEr0xWjQmXbLVvhjDuxu1wGsZTT9l0iC3So27g0SImm52nMmQ+JQ1Pq6xRvs9odynb/PV2rkpRdREgBYmC3Ymix0rBeVqm7aQU7hx0D9wzGRIcTKoWfFcVmIyyZGvUgA/lZZYyCr0tjDsSTLcO6Xv8sF/tRSsjCIUcd39RK2sAJ4MKRzdMbCYV0iEgNFWjks6OT5n6sFIpfB/fWA0LDxOBMm8ASqJXdzp9xrvzNuSTt4uK4wmFJbzNQcoANjrU0r9Y8R5G9DLAlgrABI0eKLMUf+a5Rc9zADwf38gENXFrsZzMgx0hInB0B5hyFUC2M8F8BOtBFRbtJ4Xy9h5PMHw3ILAQycN3Dmmk56LALQmx9Qaaq64OJrguH0E+NmcwGJWYdSlsQk0BmWAGlp3jmn40SkDYU6N0UkXow2r5GIP2nvaOJbyCi8ukpZ70SB3JQuJMMN8rvZ5G0UKbnbdF40BziFZQzZed6VU3a7qt+sSJUEMGfsiaBkwuFEbRx0Zn7CYIAG8KT/akri00/+LtsSpTmcUUmWBl5aAiQTD/naOz4+667JslGoNUS+kyrRIOncZFoV2PkdN1PksPQcVqXBJJ32uW8M3Yz4DXg5F9LkBA3q5kYVkP8ZcFZhJKzAovL0ukKvSApyr0s6wKLBrqi4U8MaqRFRnuwlbIsSwt8317f+ocd4G9L4Wf1eYpbzEi4sS9+/TUDBg2oUpZKp00y/vSOyUFcoSeOiksSu83xejcWz7A1cK4CdaCZKhu/ys1ZwA/WBL4UenaUipIlRTTnM8RK5FzbC/nePjhMRbGxKX9/CmZZPVYmMmHdYYvjKp43snDFSk2nU7qj9e+m+2Ws8Nvn6A4yenBcIasFlWGA3VZ+hZU2NGKYXnzwoc6mTI2HRnNE41czuEy/RtSVg8cIblvMRb6xLX9HKsF+t/udl4+rKNq25hs0h8eT8mSMFQmM8p3DHm/jqpSFzrVFrhdEaiIigo/cmghpHWxjKPExvFYA3M7XJNuqFkkE/obJYMsCVoiGpPkuPqHuDpOYHPjfowYYI2MSv+9EchKTBXJDFidsoK22XaUaRNP1UyZKfvMVWhqdDuKEdriMTIYqaWks6A//CBgX950Nsg+1zBeRvQg8Cqs3JzGKc1BPQ5Si/ZisL3Txj4ypS+O6b91rrEakGhLUJb07EEIx9Pnwy9KhDIsNbttmSM4fJuGvj5u+MGnjsrcdeEuzCS5VrUrOkJAIe6ODbLAo/PCPzpHq3hYWgNMWjArsO8HYkwTVQ+OiOwkpcYcNRCGWO7WbqdDsgZMWa+fczAO+tklGwFyESYIVtVMKTCm2uUxU8kiGJowa3kYrj0JXJVCgCGJN/U24a13WEcO9aLqmFbXjI1QJylitWiv50aQJK2e5L1DKV81aqHS8xkFJJhKgd8aVxHriLxzqbCRAA1xKqkEqFfk1AphbmMRMmgUf6NIvHWJ5IMV/fUj/PPZmSg6cqgmXeqjDp9G0MSrdI+CbpepEXlyVmBjgjthPtiDAfaGdrCtEPWOcMvzgp0RoGrepo/NLkqleXOh2AOXAjonshV/Y2f8wbQGqapz+4owyHz50LRwMR8VuGddYmSoNHtA+0M+9q56/tWpELY58ZTyt3IwUJHhFxmdE4P6z2TesMDaZlgVKS7sBRAgx0ctIj9fF7gS+ONI98DcYaVgrsD0VQbR1QTeGxG4M8PsIbz7TNr8M5tbzzEcEknw1xW4b8eNXanZbMVKpP8zVEDvTFaMDZLCozVIrjuVnJRFOjtyFcV4iGGt9YleqIkQfD+ltEgwbpeVPhUf/0vT6ckYjrw+irVYwdaGPa0sUD+mACxWz49QPxvKmnQcM9oK8NEgkbr7YvcWzn4ClRZyFTIWcttkS6J2jDRmQxpw/TFgGv7vDN/qnn7f3YqANukZFDAns8qHN02sF5Uu01SaxL04k6OqiDtmPv3ezMN0hV/2VwaDPQ//nMFFwK6B5xMCDc0GyrSGDOpW8DhboW/+djAlT0c0ymJl1cM9EQZDnWSRrSVrVmDRV7wbs8SQpzh2l6G5SLDD08Sa8XZ5Y+ZWXqzgN4Roez7gf0cPzkj8fKyxI0OR/hBc4DI3hi1YyLBIBTw2IzA12zDQwANJx3dcafj9LdwVKTEDQMa3tuU+GhbIhGi+uc9ExqGzCboRknVXQuNuzdFnQE9ZwARTeHtdYUHTP/OjWJ9hl4RpNLXaWbiuarCKysCx3bI5UgqunbvbUo8f5aOY08bw6srYrfBLm09mapUyFVoSvJnczRHMJZg+Nyohv6WRp11C9s+AlV2OJuEqTI1UE+naaBnOM4w1UZKiL84K3C4h/tm/kRNDdLEVOi3acwYkhKaZXMSdKVAOxvrWowlyOqvO9qYPX+8LT3N1C1kq6ph4MuJTNVfSfJcQqCAzhibA5AFIAAYSqmrGGOdAH4CYBzAHIB7lVI7f5jD/OdBtqo8BfgBytBb/BqiAoiFqDa9v53v6nJ8vC3x62UDB9oZLu/iqBj+NXTh0Dlxg8YBAYareji6owxPzwl8ql/hsG1ranmLNntYLVPngsFwzyRxxdsitRF/gDL0V1aacySHWhnWCxIao6btnWO1LL+/heEfl9zr+Fa9PBlmdRodMxlZ15Bz7lY01lhDl00y9K0SqRa2RxgKpvyxPZPbMG3NOEiK9vVViUu7OKYSChNtGi4z1Tev6wd2ShLfPS6I7QHaJUjz2Cw55jDn2OISJQn82R7dt3loYauscMBHjMtCqiyhc3JJOpWSyBvAniSZW4wn6stv6QDBEKBA7WetCJDPabqs8NKiwFKeGsRdEYaBOMN4guPaPoaIpvCDaYHbRrwfmCCm7PQ6fyexIOJ65xJ+lwz9JqXUpu3vfwXgJaXUXzPG/sr8+7//vR7dPzPyZq3VCwXDvyxTNOobojonI+e9bRy5qsJHWxJPzglUFHAmI3GwozmX2S1AOaHbasnjCaI3/vQM6UBfP0CaLTEfb1GgZupMrkc6/v6kgWSI7U7ODrTQGH8ziuRwnOP9TYkH9mt4+JTA62tyVye7LQyUJQ1ltTiuX2vInVbpHJpy7lY0xhqkESyTaDusbNGa6LQmIe2livWiQk8UeHZBYK1ImXx7hOF7JySucdTPS+bQj5dAFAB8tAUUDBk4mANUMvAKvEoRF3w6pfDBFk2FdkaA20Y0DMXdM3+lVODpyUylUdTKGug5myNVxrM5kq0l6z6GGwdpmMjZv1nOByt/WHo6XrBUK/2mr3MBxPXOJfxTSi5fAnCj+f8PAvg1zrGAHqiGHqAsUzSaC3O1hhiu7ddwuJvhP34k8O6GwuurBq7t13BRR+MD6VZCcELjRNezYJlb/PSMQMGQuG2ENKELRvP3AEjTxbKM64iQY9FjswJ/toekXSMaQ1sY2Cg22sYBpIGTqVDGevekhoemDXRFGQ6YLkF9MWLKTDqucaKJumKIM1RthhaNAZ0WPDucC6BSxOi4qLMWcDZKjQ1RGl2nc/jGXh1hjUEokm512r8FrZ+Xpb+ejxNuQ2tS0Vj9dEphOiUR1Wj3N5lkGIkDV/Z6LywlQYtckGOxsuWs2bidyxIHXijs6qJf2cPx4LTAfVPe0rqZKgLtCrIV/wnWXJWui9+AUhCD93MJQQO6AvAiY0wA+Ful1HcA9CmlVsx/XwXQ94c4wH9O5AJMgOYN5TvIEUTHpSIpa75/n4b5nMLrqxKvrpBLzsW28X63jNMJe4ZuoSXE8Gd7NTw2I/D0nEAyTLsLZM7TZQAAIABJREFUL1genxaGWzluGQIeM0f84yFm1tEl+lsagwhnDP0tDEt50sO5Z5Js8DojtCBYw0lOrnpEoxuuLOoDYMjk11twllwYa6R1Oq/XyTTpaF/cUfvhVgnosjX+SkLhxI7CvnZWVybaLlHT0Zlhr+TdteOdKIvmPQs3VMwvMcxrFnDHdhROpMiP80AHx5/u0XfH8p+cNRAL4GEYpDdUEQqzGYmCATxy2kDeoAA+nmC4tq9eTiBVVk2bsXYEUS4F6LnzO75cVaE1gL1XkHM9lxA0oH9aKbXEGOsF8EvG2An7PyqlFLPTDWxgjP0lgL8EgNFRF5uafwYs5SWObNCgQUwjnfKYRg4myRBDIky103KA+jhpoXu/pmi4u//YUTYnSRmjh2Y8wXE2J/GPSxJHNkmPeyjOA5VcNFafoVuIaAz3Tml4ek7gVLrRJs6JzgjDrENk61Anx1ZJ4YlZojMOxjkW8xKHm7zHcNwK6FQ3v2VIw2MzBv58v46+GMNJF4ciS7M9V60PgCHNu+TC4BLQZe16SaXw8rIAY0BntBb4tmyj7Uop/MycGv3MUH3G2UykaqUQbJinLPzvJztyVYUoB36zInFsR0JjwEFHELfDaydoh9tkM9nCUZ9iNkuLR0+UIcyBL4xr6Is1b9xmqsFq3l5SEnWvM1lIbqgIYjvNZRUUFD7YpKGwogBKBjHFDNMXuKposc1WBV5epu9UgfpH9/koTP6xItBZKaWWzP+uM8aeAPAJAGuMsQGl1ApjbADAepPf/Q6A7wDAVVdd5Z0S/g9Ca4gCpnUjbJeAkpDIVmmLmavWmpPPzItdSlV3lEoM9hu7mV6JHcUAD7LbdnykleOb5nj/E7MCY60ShvTP0N3YHhZ0zvDlCQ0/Pi1wYkfhxsHmZYBmuujXD9CI//NnBa7q5nh7vfnXOtzK8OZaLQof6uRYKyo8NSdw8xDHKyvNGqO0zbdT9sIOnRqnITRjjT+zL4AfbZPuSK5aPxOwafOufHVVomQQa8W5UDuZMAAxNnbKaPi5G7ZKCkMeVoYWtksKx1MSH25JFASdw10TOvpctMrtKAYYXgNqZcKKoPLTmYzEmbSCzkmV8epejrFWho0STe76NUVzleCBusOj/KGUQt6c9pzP0vOYrpCNY6ZKfQ+p6nfNS3lKzKIakIwBYY3T0Bgj6u7jMwK3DGqIhgBmLv/nkIVoA3wDOmMsDoArpbLm/98G4P8A8DSABwD8tfnfp/6QB/r7RFuY4ZIu70bTbFbil2fJ2GCzRLzYjZJC2bQzG4pTB9+q5XmhaPg3eZptx63x/r1tFBhLgtgxn+ht7h7jlqnawRnD1T0MLy4qPHqG9FPcBpDaIhT8aDin9u+MEQ/8R6cMzOZocq9kuE+mDpoiXvbG6Y2DHD89IyhgGe6/a58MtUD2erUzU3CUXFzO22IFGVLhtRWBT/VzvLdZG6gqGmSz1hoiI+EPtyQ+O8LxmxXZcH03SwqHHLZ5Fvfbb3DFKpncPuL+unRF4cQOZeK5KpVTruvnOLIucdNQsDpNRfizpDIVKtmsFRT+88ckiDbVZqoyOrL+XFX53tsAkDOaZ9R2WCQDq6m6USKHoq0SWTJul2s01LksUTAHWzgOthP1sDUERDjdf79ZJnqo2ySyBWE2Tsc9xMLONQTJ0PsAPGFeEB3Aw0qp5xljbwP4KWPsLwDMA7j3D3eY/2PBGINUJJ50qSOjKhok1L9UUHh3g6Rsf3rawGSSYyLJMBwnR3nn77T4iLT41VcjGlH43lyTOL5D2+LPj2qBmkxuiJreoJ0R4B9mBL46pTXUhjXGds0wnNOgYY3hnkkyt0iGqezgpu0d1WlXs16s1Zk5Y/jSuIYHpw20hkj1byzhz3Shpmjt726cfGdAtzL0N9bITEHnDB2R2qssZ/mKBF44K3D3pIZUmXYnTmQqqoEZEkSYDSBOP0eNcaGUwlaZJG9PpWngZn87w01DGkZbqbyxVlCQ8JHOtMGQVJaywzK4OGl+TqpMctDDcYbbRzXPxmg+YJ26YDQvOwqlsFmkSdqVApW8npqje70nytATYxhNcFzRTU34QhV4fNbAF8e9Q1Pe8G9EW5Ti8yWYAwECulJqBsBlLj/fAnDzH+Kg/mdAs9p4TKeMZqqNbvjvHjdw24iGmazCr5cltksUnC7q4JhqIx3oguHfFC0J5dswE5IymG/u1/HmmsT3pw3c5KKJzgDvFB0UkCsS+OyohmcXaKLznsnGoG6VPtymQZNhYr48fErgVFo2HVIZinMs5VSdR2lMZ7h7UsdD0wZOphot3lp0eiDrjplTFtoMzCVFF4oyv/c2Jb51QMcHm/Wj7Jslohy+uSYxkWQYinPMZAQ6XGrUWZchlUI1WF18paDQ10KZ5+mMxOk0yRdMtXFc20c8cWci4Mba8UJVUqlBKYW1InAiJTGdIo3yve0cNw1yjLQyvHBWoL+JQYodeYdAWtPXVRU64uSNm6mSF+hingaKNkokZdAfY5AKuLZfw3jCXVgMADaL0reEuXtsPq8rBCA1nGs4NzsDvwcE2UZaTZ7hVo7hVuCGAcrGT6UV3t+SeO4smR2kygoe5iwAqKHjV/+smhkYZwzX9WuYSnI8s2DgVJrhjjGt1ngNkJBENAqOnJF07c/nBZ6YoQzVXj5wK33YMRjnuKxL4oMthesH3Gu4Q3GGMxmJqxw/743RDuj9LYmRVokDtnJGVGPYKtdnp7qfATbcm6K/Xhb4zJCGRIhomPbFY6ukENdp4vNfHKDHYcfk3te/D6kOOoN3weM+KRk0KbmcpzJZtkq9mj1J2t30RL2zR+7CVmoGpRQqEnh9VeBkmn7pQDvHF8c19MfqF3zyt/W/SYoG7eC8PnO9SPzy7bLAK6vUw7DMLQ508F09HqUU/sMHBva0MU8efiEAEQGghdSPjJCv+ve3zjVcCOhNkK9638yAORTjuGFiOsOlXRSo8lXiCZ/YUXhsRuCKHoXLu7hrACgK/xvUysAs9LUwPLBPx0tLEg9OG7h7Qt9tzvnFgQinwR6AgvoXxoj98uQsBXWr8Wtl6F64tEvD0R0DT89R6cbJhhhoYXh9zf099rUzLOWBXy0LrBQU/mSQhqoipl+oHSHemLXb4dYULQlqWB4yaYqpCnCZ7XvdLBGn+nA33y1fbZeAq3rq3ydr1n85Y0hXFM7maEhm05QfsJp42YrCVpmCeK5K/ZbBFqsUB1/VQjt0j+a2ha0SeW8e3ZZQIAOUL09ong3UokHMLj+QQmhtYbPciRayEvM5ugYtOl3j/e1kdt3WhL5YlbTg+g1VBSEZANQADpKh/y6sonMB59npBkfeCDb27xWE4yGGK7o5XlyUuHtSwwdbEt85bmAqSWP5dmeckqHQFfX+vKpLjVTjDLeNaPh4m+Hh0wZuHdaCJOgIa/XlC84Y7hzX8A9nBF44K/DZEaLsJcKok6h1Q2eU3kso4JUV2TAx2RmlOryTVw4A7WGGogF864COp+YEHjkt8OUJDRGNdi12hDiDIetTdC/a4nRKoqqAm4dqDWSnwcJ6QUEx4J5JOmallKsUbK5Kmfz7mxIvrwiMtlIpba2goDFgoySRDFHtfzjO8QlTp8Ra3GYyso7tEwTN3KeyFQrix3Yk8lWiMn5+VMNPzwjfaVWAArUfjRagwA/Q7mLWNJkOcWAsQcNht40wJEIM3zlWxUWdmqcqYxCmFx2bf3nSOja/1wVdHM4lXAjoTRBkdS8YjWPrTpQEBeHBOAXwmwYVPtqWeHJWoCsq8al+juFWjmIAR6Oqh3jXxZ0cPVGGJ2YN6Bzoi3mndjpnUKhnsGiMsruHTxl4Y03iun4qUyzlvQNRiDO0hom98uQs1Wf32/RHOCPK50ZRNfhzJsO0MIY4cO+Uhn9cknh8RuDGQdaQoevcnV9vwR7Ql/MSzy/QG1jsjbIg1oMl51A2JPICuH2kJpBWMKh27SwdrRcV0lUK6F/bU9sJ/XJRoD0MXO0zndkTY9gs/W6sXd0W0A1JpbyPtiSWCo0N1KKhApmjAN4NeGlKCcxkKANfyiuMJ0ha99MDmqv2TxA3rpKHEJzzvfyeO6lUoCGtIAN95xrOs9Olm8GQ/j6EhSYqinWv8cnQrdfYb9CoznB1r4bD3RwfbSs8PS/QGZHIV5XvUEhFKs8ta18LwwP7yVzi3Q2JQ53cs/EVMZuM9kAQ0chb9IcnDSRCDB0R7xq6ha4IZax3TWp49Axx9+0cckv/fNjhgGRpzZOyIZkK/8OMwJFNhZJwsly8/VKtksuZtMSzC8Rzf2lJ2iYayajb+vvRHcquL+uqr6k76XvZqsIrKxIdEeAb++pLShz+5S2AFhGpvIdmnLAmfl84a+DEDpltXNLFcddkYx06iCSEhYpAXU+nZJjepDY99qkkR0ynRbYn5s0dLwXQ+g8qe1AyFDpdGk5VqVAwKDNPlSV0RnMFVSlRFXRfCFX7LpQCZrOk0vnKioBu8tJ1DlzSyc9ZffTzLqBvloCHpimLTYZhCuazXU3mnijbZVj4dfjzhsKgz9BFs22fxsmQ4pJOMkV+YVHg1VWJz5nWdm4oB8iEYjrpeeQMhh+dMnDvlN5UjyZkNhmdMiytIQrqD58ycNMg962hAxSMt8sKe9o0/Mkg8PiMgW/u13cf4r4WYnq4oT1MdelOUyDrznENPzhhNNTLi4ZCxm4U7ayXG+Qe9ctFUnZMhBliem0F2CnXs3Xe35LoidYPipHDfe0981WFR04ZSISAy7sb+wMsIBOFMZI7WC0oTLX5Nb8Vju8oHNmkY49pDH9+QPP0zzRksICuFF2jkqDhpZMpohOOtjLsaeO4aZDtMnk+3JJNXa9qx2o5B3m/ruKzK8hU6PtZLSgUhcTZnNmTMAeNlMKuC1GIMYABizkSOgtx0wvYfH/7kVgZelmQpICQwCU+XqV/zDjvAnpvjOF/u0xH0SAJ0UyFhjo2i8CJHbnb5CoJ4M01gaE4x1C80aABCEZZ8yvdaJzhsm6GXy8LDMYZHpo2cFk3UdmcGU2QrS1A0rlXdDHsVBgeOklB3W1U3Iue2x0lSuITswJFgx46L9nezgiJdAGU8a7kFZ6ZF7hrQtsNZh9sNgnoEbImsxDV6LO/Py3w41MG9rcznMkQFc6QwFvrAp/orX96ZzISz8wLcAB/cZDkaRdzsq50kq7UfCo3SzThebi7/pw2S9i9VoWqwo9PGzjYwXEqLV2HwziCUwuH4gxLBZJBcEPKpFd+uE166Z/u53h8RuC6fv+MUiqaEPbCdknh+A556P7wpMBUm7u0roUglohGAA1/gAJqiJtUxmLNnWi7TM9gPEQ+vQWDFv/RVo5EmJryrSE6DmtntZyX+OWixB1j3g/f6YzCZV28gRJ7LuO8C+gA3RgtIRKsGnCkp0TFUnj4lEBEY/hgS+K5BYWwBozEGQ0QJRhaQiwQz7UQYPBEmTXB6wc4ruzh+PWSwHePE8f8oo4a5axkBNu2GhLQNYbr+jkSIYaHTxm4a0JraPK60fzsGGnluG0EeGqWJGS9BKi6IgwnUrVs+JZhjodPCby5JnFtv4aeKDMZJY1Su21hhlS5/v36WjjCXOCiDnIv2tvGcUW3whurEu9v0oRpW4iu3UuLAtMpiRsHOV5fq8nTOvsSqUptYveddYn2MBoa0Zsl+qyyUHjkjIG9bRzX9TH8dt3dOcgaqgqCwXijsXbJpLkeT0ms5BUu6eL45j7dtksTnguvhWYll62S2uWj56vAZJIy2n93ie65QEtF/Qa/gN7MlKVkkB3jqmlwMZ8je7ytkoEeU0bjsi6OLlNOw1qwHpw2cHk36RY1Q1CRs1IADaVzDedlQPcCYwyM0Ti3pd1NzAdgISdxIiXxi7MKHVGGnRLdpF7enPkAWbzVONUYQyIE3DmuY8ls6h3bITPrRIgFztANG73xki4yzn1iVuBzo6jzyHSj+TlxoJ3jBU3g2XmBB/Y3tyrrjDJs25p+lmbMQ9MG+lsYJpIcbWFSNux1OPC0RximU43F8bjJ8b/MzKLnshI6Z/jGpIan5wWOmZTD3pjCtw7oSFeAMK+9j5MJkSorTCU5CgYF0PYwGuzVrMnRl5clemMMNwxwpCskeuW2mA63cryz4aNDbGKoheHneYVsReJMhlg4y3mFUXMQ7a6Jxtp4EIcqoF5VMl2hTPzYjkShCuxr57hlWMNwnCFbBeazhq9JipV5+01ZGpJq/ZtFmp5eykks5UkOojfG0NdCSVAiTANOt/qYW1QD2DAGDugiGD3zXMJ5drrB4Kx7M8bQFQW6ohqu6KYhk6W8wiOnBX5xViCkAQfbOS7q4A0NtYLRaCjc+HmNQX8ozvHn+xleW5P4/gkDnxnSUDSCucwIx/Z7Isnx1Ung0RkBOIJ6kNwyEQIiOvDSksTtI+5PUiJE2ZqdmpgMM3xxQsOTswLf3Edll7UCNffsaA8D6XLje7aYrkpdjpDWEmK4b0rDs/MCmyW1y31fL8q60oGTnpeqUA39vU2J/W0MJ9OqbsS/aFBJJ11WOJmW+JcHdDDGsFGSriUrgDL+fNWbIidNHZc5U0f8u8cFJpOUoTYz8rYQNKDnqxJF0/R5u6Swv53j5iHyC7UH76oIxoZx82LdPSZzoGghJ3EyLbFTAf5hxtgdKLqyR0NPrL438caqgstX3IBKAKP00u8S0H8HueJzARcCugv8OK4aZxiIU4b7ry/SsFIEju0o/OiUgWSYuOcHOyjbyhsKIz5PkFfj9IYBDfvaOJ6ZN1ASwNW9AUsujo8ciHN8dQp49IyAGqGsLehmNKwxfLKX4aUliQ+3GvVtAFr0OiJUpx2I1955tJXjuj6Fx2cN7G8jhyMnkmGGjEvj1W383/55IwkOMLkbOJw1X/v3aDXe4rrCexsSX5rQcCIl6hbSzZJCZwR4flHgliFttyG4VVINphYWOGPojQEfbUmMJhgY2K6f6FKeuNsLOYVkiNyjxhIM/S3A9QPBHj3NZLq4rRUlQ2E6Tdn4Ul5BZ8C1fVQSdMoIWKgqFajm7byHUmUSrJs16Ywxnb7bsVaGilD41gHv2qOhGu9JNwTx1Q1ipr7LZjt/yucALgR0VwQZSLCyas45huLAUJwGWGYy1Nj61ZLCxZ0cqbIKRG30WkD6Wxj+fL+O7x438PoqiUx5ubAYSkF32SoPtHDcO0V2dIBZQw+QotMDxnD3hI4fnTZ2zSmc6IowbJWBgXj9z6/s4VgpKCzkAKkkgPq0yc2QA6DrW/Qw4WCob0g61QZLAugx40yuSmWT02lyHNIYlVvsJYXNkoIACXPtb6/9fKfsLgS1kpd4Z0NipQBsliSO7VBGbV3TgTjDwXaOz46wXariXEbi5RWJ6weanlYdohqdh/V1S6VwOq3w4RZZv40lyI/2ml6FV1cV9rR5RzAqpfgv5WWhoBTw4qLATEaiJMj0e187x63DNSbMQk5iLus/MGUEsIsDmi9edgSp7ZfNTP98EuYCLgR0VwQxCqCgX/8zzhj2tBH9K1Umyd31IvDaKpUCmqnDUePU+/M0ToJGh3sYnpoVuLpX4ZomErpeNcb+FoZ7p3T89IwBjQUruVj87+4Yw+3DGp6YJYMK5/BNPMRcXZAYoz7Ag9MGUmWXnkOTWn5cZ56+p06HoopUddt18nKlJz9VJqXEdzYErh/QsO2iqHg2R8yXr07WG1sUHEJQ81mJ36xIZKsKV3ZzfKqf48GTAvdO6b4c85FWoncGsTcE6HssCSDMaSDtnQ2JiMZwZTfHneM1ga2zOQkW4Nv0ojcWDVosTqVJzVMpWlS/ON5ci10GcND6XV7ntrt0ohqg5FJ2cO3PF1wI6C4oCn8DXaIsNr9D2yMMNw5pOLIpMZZgeGyGMtvr+hs7+PkqgulJGwr72jQcaKeJzMW8wBdGtQausF/JyArqD04bWMhJ9PisXvaBngMdHMsF5arbEvKY5Axxhq9M6vj2MQMnUwr7bRZwzc68Ra+3wHOCo34hoAzdXhOv1VBTFcrYChVgKsnwyqqsU1RUioZrLulkjYqKth7HbEbiZ/MCtw5r2N9eq08faJd4b1N66nMDtDBPJhhOpxUu7/b/zkMMeGNVYCajMNJKQmrD8UZ976AzqMJR+shWSG9oOq2wVqCMf28bx9W9wPMLAtf1e5+PChrQ4d8LkOaXaV1TpYh0UDBoMKkiKFAvF6jk89a6gFTY/cMZ/dEYleqkIsXJqEZU2KhG36PfUOEfM867gP6bZYEQJwpaV5ShPYIGGl3JUOj3mI4DgkkDGFLBUFTX/EQvx4dbEk/NCnRHybTAGh/PBzDAUErt8t7DGsPX92r41bLED6YNfMXGM69KBQX/bWt/Cw1QvbJCnOdBD5pYzZyZcOMgxyOnBV5blbjeFsA0RrXSZmiPMCRDwAuLAsOttTJEM/pkTGcoesgOODP0sqxvqNkdfFIVYl4c7qZdzU6JfE4tHN+hmuvlLv0BqwQ3n6Vg7kYBvapHwyOnDXyyz58zPpnkOJORuLyJbZ1QCmfSCh9sSWyUgGSEJJObDZwBjf6qzWAoCpxvrwucSJG5xJ42hk/0Eh/dKsf8rjIFflCqPqArRZOf6QqZXaTKateQ/HsnqihU6RkLm0E4opFgW0SjRQhgyFRqAZwxGhoSZnBPVxQkgGPbVC4qCaIGX9unBVpI/1hx3gX0zig15j7Yktgq0UPeEYEZ1BgGWojW5lfvC2L3ZYl3McagM+Bwj4bLujje25T48WkDB9o5Pj1Aqox+ww9VSTetlV1onOGWYfJ6fPiUgS+NaxhLcFMaNVjtUCrg1iGOx2YEvr6XNTB0LDhH7jlj+OK4hu+dIJ62VUryU0MEaAq1Kwo8NUeepNykibqVXCKav1yus4aesPXm8jY3qc2iRLpCNE4A2CnXKIsVofCrZQEGIOkSNAsGBZxnFgS+NN4YzAHSaumNMRzbUbjUww0LoNr6a6uNJ2wNFn28LdERIRZM0RD4RC/3DOaA/xBQoUp89Hc26Dq0hhSua6LD/rsgyKRsrqqQNhfU9aKBrTI1mgFa5NvMie2uKIPGFD4/qqNFp2fH7dieniNDmYs7m5/wTEaiKiXunjy/Qtz5dbZAw01gSHJ0WSnQYMeRDQObJaBoCGwUSZior6XRIDdIhp530YPROMNVvRoOdXK8siLx3eMGwhy4UvN+KvJNPu+SLpqoe2pO4DNDpJkSlHtbkcC+Dg5DUaP0G/vcZQLcNFRaQww3D2n4+TzV03VO8rBe4lkAZVwH2hneWle7yozNMvSwU0LXzUO07nwUIiZf0zD1yy0hrpUCMJ5guzTGVEWhwyyt/HZdYjDOMJNp1K0X5lb/mQWSE/BaeK/s4XhjTbqygOzojKDOei9dUaRjnqLBoq/t1XeHmN7dlL67LQCueioVoXAyTcqMSzmSHNiT5MhU/KcsgWBlHKeWTb5KlN6VAg0WrRWIqhnitIBOJjku7mLoirAGN6GiofC66SzlhaCN0yBsnnMN511Ad0LnRCPrbyGOOQD87dEqLu3i2C7Tg5yrUjDY384xlSTecMFQaPfRccl7TJLGdJK9PdzN8YNpA79clLhzjKOvyc3stjhYGE9wfG0Pw6MzBkZbWaBmkFAK0nwwLusmvZZHzxj42l69YYCGMbgaoV3UwXAixfDaKgXmEGMwlHdED3Ogqhi+OE7n3d/CMJV0b+dFOEPZRn9xeohy5sJyMYNa1jRCZoyhZJAeyJU9fPfcy6YSX7qicGRD4ssTGtaLomFns5inEtbnR7WmjkwWJpIMzyyQzZuXlCw3pRBmsxKLeeDotsQV3Rx/eZHWsOsTUgXKoEuCFgepiO/+8bbEmYzCcJzhUAfHl8fpvj22LZGt+r9fM+aRHUoppCqkr/OzOQOLeVpEB83d7uVdHH0jVGZ7cYkGua7obl6TV6AFwg+G9Jc5uBDQL2AXFUk8bcpWNWSrCjOmdOlzC9Q4ylQUxlq97/ggWi9dUSo3HO7m+MkZA1d0c1zXxxse4lzV21m9O8Zw/z4df3/SMJtE3torVQet61P9HLkqTZR+dVKr+3whmxtYf3aESi/72oJn6BVBTeC7JjQ8NiPw6QHumg46Sy7OIRvn2dlpi5lKbQjrlRUBBWKYAJY7FB3/r5YMXNnDoUC6IXYUDYWfzwskdPjSAQHqxRxo5zi+Q3IHbshUFOazCkVD4Zl5hcu7Of7VwebsmKr0z0bJN5QkK/7LxxJtYYZDnQy3DGm+8s7N4CZVbE1Mz5sGFws54r4bEhhNcFzbR+U0t3JfEFXKoH2AIMqSVRmMb3+u4UJAd0Ap1TCJlgiRgNZl3XxXe+OlJYEXzkqczQGXdREl0Xkj5wPY2JXNbONwj4a97RwvLAj8YNrAHWN63dYzCM2tNcRwuJvKGc/MC9wx1qgOaMFZc2WM4bYRqqe/tCRxm20i1FBAs81IPMRw87CGny8IXNfH/QM6p0EUgDTiv7aX4dEzBiSAD7YkpFIQknRPOiL1mujOOrszQ7dPBmYqQDJEBhTHdkia2Gp+F0xa6kJWYrmgcMeYhumUqqu/S6Xw5KzAQAvzrOM7cVEHwy/OClzbr0Eqha0STBs6iYUcSc2OJiiDTYYVbhn2cK1XtLNINGFcFaoKR3ckPtyiuvhgHPj6Xr1pL+R3gRWoK4ICtyWvC0XHvyfJcfMQfT9Pzhl1EsRucH5X/xQEoUAS/fHcbX42w4WA7oDF0mg2fBHVGS7pYnhzTeC2YQ1LBYUn5wQiGjEkLuniu7+bN/zpj/bGXSLEcM+khmM7Cj89Y+C6PhLrYoz5ZugWSoLh0m5gOQ/8bE7gznH3oO7WRLNcix6aNuomQg2fLPFgO8N0iuFkSnmyXIDGrLsryvC1vRr+5qjAYk5CM5ukr60JfG2Phoqo5617ZXA5o7boZaoUoH+xKHBFN8fpjE3jRShENeDFJYHPDJIxdrYi6xbMl5YkNAac2gB/AAAgAElEQVTsbWOYzQaPRAMttJg8OG2QX2nIbLi3MBzu1tBr8rnTFYWHpg1PHaCdMgVz+70oFJlPfLRFWfKeJC2o728I7OvQfIO5xr2ZSAAlD9MpibIE/vPHtbLYVyd1dDsy8FRZoeph3G0hiD9q0KAfRA4hSJ39XMSFgO5AUOGfoqAyx1iSpG7ncwrvbki8tmrgcA/Hld0chaq/Xroz82aMtstDcYYnZwUWcgKfH6Wyz7iPRR1A+tHDrbT9fWJG4Kk5gS+Oaw3UTDc7OID4utZEaE+MpksNpaDz5p/NGMNtwxq+e9zwXcDCvNErVGfEEbY36npjwNNzxDwxlOlmj/oHuWyrmSul6hbHTEXtWuwNtACrhXp+elURFc6aCK3aKI8fbJHl2jf36fhgK5gLPUC7gWcWBDROXPd7pxpr4haSITqXdIXkg92wWVTojpLB8loR+Hhb4viORHuE4dJOjjvGaoNFr6/KQBZvYV5vPWghZerXnEwpbJTI3JwD+FcHNSQ86DNh7s1EsqBzKt15oVlz3IkgpZmg+vDnGi4EdAeCBPRdlxbz6jHGMJ5gGE9wbBYVfrsu8O1jBkIc2N/uw15p4l7eHmH4xj7imn9/2kBMAy4OIMyfrRJ1L8QZ7p4kPfOnZoluZ6+LZyvNM/7uGNXGn5ghhUURYHovHiKf1DfXpKtEroWwRsdoR0U2CjJd3sVxNkd62RVBDS7nlbR/V2VBGZmVzW6XKAh+c5+OpbxCPFT77UxFYbsE3L+vNhEqFRACsFFU+PWywDf26ojqLJArlVAk63tkU+LGQQ2n0+TY5EVrZYzKLkv55g3UxbxEWQD/7YSBqgQOdfCmJZWg/pn2HVLepDIe26HrvK+N4do+0pvROcPZXBXSJxcOm+/ntdMA6PtzesQ6wRggJTWqiyYLqGgOE1UlzQlUJS0+RzYkTqXU7u8x8zMso4vVgkJEI3mGlhBDXD8/SjDnVUDPVRU2iwq9LazpzV+RCpEA8p0h3jiQBFAwvGNMR6ai8L0TBp5boOGQT/S628HZywRO6Jzh1mFSzHtqVmA5rzCR9D9H6/10znD3hIYn5gR+Nk+ZulV+yfrU5Pe3c6wWFJ6aEwhzFWj72huj6/LuhqwZUDgQ5gxlR6rmNqbNGMPtIxpO7Bg4mZa4oltrGE4p29QUc7bsXCmF1SJwcQdDd4xhOi3rGp7Hd8hOzs4oIvsyhafmSIfeog3mDYVOj53RelHhmXkD8RDp7STDDHNZ6VteAKgUs1ZUOOT4+UpB4u11iemUwmALXQe36VA7gjrcM9Bgzk9OG1guUMnmuj6O8SRruJ9jOu1mvHZdOqdMvuqyKNthUV8rguQVdso1c4tMVSFbUchUaef09ycNc6qTIabTIqSbzkQ6o9JMi16fkEhFv5urAlXz/RWA588KFIyab+2/OdTI4jqXcF4F9ExF4bU1ifUCaX70xhj6YlTeGGoljrJ9G98MQXSWk2FS3fvqlIZ3NiS+c8zAdf0cl3fVM1iC1Mb3t5GY1IfbEoYCbhhw13ABahm6BY0zfHmcHOF/uShx23CtJp/w+dzrBzj+4YzARjGYUl5JMAy3Am+sSVzUwV0XjLDWuEUnDZbG10Y04tS/vip35wfsp23P0HO2BvTxHYmqBD41QL+Tq9YmcReyEpsl4HLH8I8EcCaj0BMlW0ALzTJ0oRTeXKNBnRsHNVzaWQu4fhOzFrpjJOUL0CJ0Kq3w1rpEpqKIeaMUJpLcdZDJCc6aC60ppbBcoGG66R2FqqL5BT/p3pjGTHE07wAY06kEaX9uhKJd0HqR2DdnMhKpMpWN2iOko9MRIaXKPW1kxJIIKfynjwX+zSHdc/Gayyoc7PC+Li8t0nN1TV/N06AsvIevzgWcVwF9MM7x9b30oKQr2B18eGtdYmVOoT1CjcmqVKgI9yAD1JpqXpBmWaavheHOcR1rBdrKv7th4LMjGkYTVrBR6PGpjZcFPbAP7Nfx+IzAk3MCXxjTGhq3FUEMEeex6ZyarQ+fMvDqKnD9ANXkvcx/gdpE6P/3sYHlvMKkz+6gaCi0hzk6I8CvlwW+4DK84lbDdaok2hHipOL42zW5K5VgoSSATvMj8lUaIioaCi8uSYQ40Gry1si5hqMqFZ5dIC3ykOO73S4RI+WrU/XCXG4N4Z2ywpOzBlp0hm+ZWbkdGmMQAbp73VGGjaLCTEbiN8sSEgrX9tU0Yp6ZD96MjWkUVBO2n+WrxEf/cEtCAbi0i+MvDnL87TGBvW2NZhpOtIZoMfRDhFOpaimvsGz+WS+S2XSvOUG7t41juSBx35SXUxIDZ6TP4pdE+10ZiXomDGPBB+7+mHEenGIjGCMNl/YIw/52+pmQCqtFhbfXJTIV6u4PxWvqiXaDXprK877jSgZlj9bN29fCcN8eHSdTEj+fFxhLSHxmSAuUoWeqZHXWojP86R4Nzy0IPHxK4J5JrS4LTleAtog7DziikSDX358y0KLXBm/8ENVpou/dDYnLunkDV9uOojmsc2UPx98dN7CYkxh2ZFGZSiMNz2+7/sk+jsdnBf5kkDeUXKzJ0FyV1C9/uSgwnqBAufs6k0f/m2Vp0gVZXcDIVknj+/Iu1vC96g5WyFxW4mdzAtf2U+P7v1eeVSmFrRIZIb+0KHD9oIb9bf/9olsRjQaolCKa5JENidMZqot/blTDkK1kkwgJZCtAp49+UNI073Y79p0ysJBTWMiRwcXP5wVGWmm3e+MgyUHYE6L5rMRivnHi2gnd3N145UssQPc0qGjYuYbzMqC7QeN0M661Ul32piGO2YzC6YzEq6sGOiMMhzoYDnTwQCWXZjXNfe3UdHplReLvjhtg8G+6ZStqN5DqnOELYxpeW5X44UkDf7ZH322qpWwmyG6Ihxjum9Lxo1M0fOQVnC1YvPwrezienRe415HB2lE0FNpaiHlx46CGXy5SU9X+EK8VqaxhR9lDh0SBAsvlXRzHd+o1duwll7xBC99OWeFT/byOSVMRNVu2vzio4401ufuwK0Wc/f4W5jqEYxlMKKVwZFPi9VWJO8c1jHtIAGSr9cJfdeejFKZTCm+sUSYaYsDX9mqIu0zBMOsCBEBEI1u9l5aotHBFN9nOuTVm28xA7UdxbAszLJviaCWhMGdy0edMGudoK8NYgqMiBPa3c1zS1TwMR80Fxw/WQJMXMYHBfXLZjiDUxnMRFwK6A9bIcERjOGAGcKHoZj66I/HyioFkiIKw1zQmCXy5/1tEI2GtQ50MD00LvLwi8YWx5qyITFXVZbWMMXx6QENMBx4+ZeC+PaT94TdyDtCu5CuTGr4/LZCuKFfjYzvKkh6MGwY4fnhS4MimxJU97k8b6cjT+13UwfDeJpls28e914sK+xzBzqu8ZQW0a/s5/uaogQGbH6l9kGitQEYT3zqgYyYj68ogJUPht2sKt43UApz1r29vUL19KtFIpwQoY6wKhRfOKizmJe7fp/te43RF1e3oLJxJS/zjskCY0/e3J8nwHz8ymi6QLTo5XnkhU6GFZi4LdEQUbhrUMJn0bqC2hWnx9wMDDRX96JSBtYLCcCvx0a/t0+rMQbZLyleULeLU5WmCkEmDjHu8RmO/vyGlcw0XAroDbhoQGmOYamOYMt3gn1sQWMwrfPuYgcPdHJd18YZgXBD+Di3dUQYGEmv63gkDd4y5Z37Zins2fWUP1dF/fMrAvXv0OgVBL0Q0hpgGPDMvcP8+5hmgrJIQZwx3jmn44SkDYwnu6rFZtJ0zY8TQ+ckZUpWM6cSn3ig1eor6KQUyZi6w7QxHtxVO7Ejsb2e7XPqj2zSxe8MAqRJaU6IWMlVgzHTbAWpZ92pB4Y01iQf26TiTkciW3D5d4bU1Wvju3+fPkLD6M0nbArxdosni7bLCzUMapmwB1+vd2iJ0jG5Yyku8s05GFIc6Oa7uZagI1nRnYEdvC8Nawf3YN0pkXn0yJZE36Hm4dZhjNNG85t4aIr15L1iNUz8048nbEWRI6XzFhYDuQNWlqWhHRGPojDD0xBgmkwzvbkh8+5iBA+2UuVjB0dIL8ULeDJY3D+uYTFJt/VCHwg0D9UyYTFU17ehf2sUR4sBPThtojwATSf+pqK2SQp85/ffYjIH79+lNM+RcpUZv7Iwy3DDA8bM5A9/cpzfozRQdu5K+FtI2+fWywOdGdWSqVGJwljYqAc18e2MMhSTw2qrAa6swa7cGSRPo2A3YmYpCrxnY5rISFQncNFi7fpxR/f2pOQO3DtN3FtEa6ZSpssJMBuhvAe6ZaF5qqrsGghYMYkwpvL5KTclP9nHcPaE1Cm15sFPawgzTqdo/CrNc8866RN5QuKqH4/ZRDVGNqJKvrgTTKOiL0SJoP8+jOxJHtyUMSZTV20c0DLQA/8+HVBv3aqC2hhgWPXTrAQrUUlkaK83fK6wxVKR3wURj/kNK5ysuBHQHgpjZliXQrtMU5RfGSM/83Q0ym9jXxnBdv4aiodDik83ZtV4mkhz/Yj/DswsCPzolcLet4Zl1ZJxOHOzg0Dnw+IzwzW4AYKtMbvdX9XBsFBV+Ni9wd5OA5aRBXt7FcTqt8KqpsGhHrlqTq7VwwyDH944bOJOWkEBDdg5QfbbZLsEe6woG/f5dExqW8wo/OiVw8zAFnv/0kdjNinMGLZQlQ+HZeQEO1LkQaVA4kVYYbWW4qIO+7JhGJSMLG0WSX5hIMoR5cG/KdIUkBz7aknh5hRq0f3HQXZYYcJcmtmDVusuC7Azf3ZBoizB8so9jT1t9b6InyrBRUr4DPgBdw42iwvubAkd3SNjrYDvHHWMaBh2aRB0Rge0yLWrN0BYG0h7OUgBdvxadvkM7r12YE765Kumllww615MphbKkfkBFUEZu/dkpKawWBN5cJ3kGy+QiolFiENEYVgv0u+0RknRIhujfz3WP0cABnTGmAXgHwJJS6guMsU4APwEwDmAOwL1KqZ0/xEH+vrBTpmmzriia1r4NqXwnyuzsCoCajTcMari6l+PtdQrsrSFgb9L7fZwMlxZTy+X1NYkHpw3cPaFhIM6RqaoGapwTU0kq37y0JNAbYw0UPzu2Sgp9MWYKcml45LTAK6sSN7jYp7lJE3x+lBQW97fXzC1KBuleO3clUY3h82ManpkXONTpflxl4c0asv6laBAzgzOGZJj6GOMJjmyFaKTW95avKrRopOOyp43hyGb9YNR6iZqodmGsRJghW6XlY7VAUsI3DWloD5P0a1DMZykwHdmUuHtC83SCAojy17y2rJAqA//1qIGJBMNdkxoGmkhJxEPE3MlUvQeB1goKRzYFhAKO7Shc3UOS0M0keruiDFsld5NsC21h5lmTlyYrhjPgt2sShqLzSpUVcibPvzXEEA9RwK5IoDcEdGkcUY0YUBqr/Xl9VaCnhWNPkkHaAn3ZnCotCQVpfsbb6+T9mjUtCP/txQGoXX/E+F0y9P8FwHEAFhv5rwC8pJT6a8bYX5l///e/5+P7vWIxp/D6mkC+SuUASzRptLXGcCBRH+/g2Yw3HdNrgf3hUwbe2VTQuMA1fdx1m+mmcc4Yw6f6NfREGX46I3DzoDJr6N7nlq0CLSHgpkENPz1j4Ot7mzfvtkrAwY4aa+auCQ0PnjTQE2U42FF/YukK0BOr/31rAfvFWbE7Pp+qAO1h9wxoPMGxv13h6LbEjYONF86pbmnBkDQCbrGFioZCzFxIUxWFNvP8nE3IggHM58hg4et7NXy4VdM5Xy2QcuBkol70KhGC6ahDwfzWEfJuLQuyafOTIzakwmurNGg0EmcNfPZmiGgMZUeJYbWg8NY6+YhGNeC2EY6DHf41qfEEw5m0xGFH01pIKtUc2ZRIV0iy96IOsiG0ylTNYHHlvdCiWwFVgTNaNFYKCqsFyv63SpS4VCUlCBNJhovaqXeTDNcnV88vCPTG0HAOdiTCRFH1WixzJtXXPrFcPQ86qYECOmNsGMAdAP5PAP+r+eMvAbjR/P8HAfwa/5MH9EtMNcSSQTfcSoGc1J9boCGI8QRHquyvc+6mPWJHTKeb9YpuhoWcwnePUbZ3oL1+O5s3KAi7YV87NfgenTGg4C/Wv1NW6IgwHOqkIPTI6eYORFtlVdfUjIcY7pnQ8cgZMrK2M182Smq3LGHHpZ0MH2wCH24rXNZFpYE2j+bq9QMMRzYouyoJhUMdfNfcutykhr5dpmzTyryLohbc02VaQABTKtf8f2Fu019blfjaXh0MtRJayaCBoEu7GPKOgZmoBhgCeOQ01dUPmIEuorFds+pmvq+LOYnnFgS6YwzDcbrPgm7tLfbHTlnhZEriZJoMI67q4bhtRMORDWr4Huzwf6/97RxHNiQO99Dfq5LKF79dl1Ri6+XYZ5Zqju1IHNuRuLrX+z37Wxje2Wi+Q8lWFc5mFTRGCpPZKg2CDcQZRhMcV/bQohDWGJ6dNzAY5029VAH6Hko+ZcMQh6/Co9vkrN8g1bmAoBn6/wvgf0f9IFqfUmrF/P9VAH2/zwP7QyKqM0wk2a4uilQU3OezlE28cFbiVFrtOhRFHVl0EDeUkqAm4uEeDfNZiRcXBf5/9t4rSo7jShv8IjLLV3V1tfe+0fB0IAl6gl60opVISaT8aH5zZt/236d9/Z92z+zuOI0MnUTvvfdOFC0IoLvR3vuu7vJVGRH7cDO7XGY15ow08wvQPQeHBKo6Oysr88aNez/zxQqRPCx/SKuF4BT1PobrOjQ8NkpaLNd12AzVzIhmgIiZ1M6s15AWNCi9q18vGlQmcuRUVIp9b/TTwPPpcQN3D+hwcROVklK2bRKrXfPYqIGBsAmZrNAWmktQQjzUquHrVYl35w1c3MxxVr2GtIPy40pKoa7gdxcOXZ0q9KhpNGyZcCdyyvQsJbOK3jBHT6g8SW1kCdt8Tj0v26W0BRhm4qoM2ZMVCu/MSwytS1zRpmFnhOMfj+TQWKHdVRhSKcRzCq9OEya9P8xxQRNHZzDfAtkV4Xhg2MAVbXxbUk5PFcOLUwrraVoY/rAk0RpguK1HL2uZdAQZXpnefufR5GdYTOZ78ylDYTymMLFp6rsLMg4JuoDdETJDd2pZBl0M8VzlYslr9tkrRaW5gxWnKhJm24TOGLsewJJS6jPG2KV271FKKcaY7eVjjP0cwM8BoKOj499xqn++4MzUcwkAswmF3REGoRiOrUu8Mq3QHmTYV8vRb/Yat5vUA8XCUZ0hjh/tpCRy/xBpupxVT2bU7dtMYA0JtAaozfP4GDnO2yFSrArdivMaiQD1xBiZMVsP2VKKYIN2FeTptRxTMYU3ZiSu6dCwmaPWkhM+3tqyv2uiK2oqQCa/WZPYX8fRXUV/1jOkB94d4o4Klyvp4iSaKkAORTN5Y+1olnq8Uim8NC3h0VDk68lAFXtaADe3cMybAzMrEjna0dR6gVqbZNwZ4hjblEWV5USMqvL2IA09fTolu4xxYtDRaIYWmLQgM49vd9m3aCIehioX7fS6QpXvOQYg7AJ+OyTQW0XMZLshNEDJNeSi9k5LwPm4AZ0G02/MCswl6DvpCDJ0VZE3br3Xcn6iC1pp/hRywxYuWRhejWEtXTlbu/j2kgR/SkONv6Q4kQr9AgA3MsauBeAFUMUYexDAImOsWSk1zxhrBrBk98NKqV8C+CUAHDhw4H/5SywVJbCeKo79tdS+GI4SiuXVaWoVpI0Tq9AL2wicMZzToKGviuPFKYHBqIBUaltoY9wgpuS3Oojy/9CIwO29Wpla5HpGFVWWjDEcauF4alzglWnSVGeMbSV0u2CM4ZoODfcOGTi6TuiOSsNVgLDf/3rMQKQCZDItFEY2FS4vGEJGPAznNXG8PC2QsjE4Bqjds6fgM1lOQ4CpI27uSKIZMp5+a1YiKxUaC3r+CgRx+2pV4p4BgloSJppuxYxQeGTUwN4aWgDX0goIF59HZ4jh7TkFKSUm4sDHi9SLvqpNK8J9L5q7mUrtFqUUvl5VeHte4GADCUy9MFnuZVoYuyIMh1elIzvVYp++NScQ0GkecKPDAlEYvVUcI5sKLSUsHqlICmEoqnB8g5Qjo1lCLLUFmG3SrvEyTMcrJ+Kgi2Fkm9LafwIVukdjWM1UPo7Otq/iT8bYloWglPo/lFJtSqkuAN8F8KZS6vsAngVwj/m2ewA882c7y//AKLW38mhUnX+vX8cPduhwcRqevTglMLIhoRxAxFmHqrPGy/C9fg27IgwLSWAqphyPAeRRJtxEl3QGGX43bGCzBFUQzRZX6AAl6Os7NSymaPsNoGJCtz7vTV06XpsRmIxJWwJRYfh0hkuaNSwmqTq0i6F1hc5guWTxgXq+ZQJtlyQK2z3WQMtaSKOZfMtlPUPCUKObEqfXFqs8rmcUMhL4dnceBmolDUMqPDEm0BqgVkeNB1jLlH8XYTchiH41KPDWrMD+Wo6f79bLSDxejZidTt9nNKPw+JjA5ysCd/XpOLdRQ7OfIWVKEzjFabUc4zFlO5xcSBJ884MFgW91aPjBDh3C1HPZLvrCNEQFaFGYTUi8Mi3w/35j4K1ZiaAL+E6fjoONHDUe0vt3qsBrPMCaLTErH1UuVnbflsaJJfTtyUd2nqinQvx7cOj/E8CjjLGfAJgEcMef5pT+c0PCmdIQ8RC64/NliT0RhnfnBd6aA86u17C3prhyqcR+ZIzhQL2GD+clhjYk1jIK3+rQ7PXSC6RfGWO4tFWDVwceMvvjIRf1uqMFQ8LCcGsMt/boeGDYQK2XKvSzGyon6SY/w0VN1Eq5pGX7fvDuCPDSNLCUVmiwwSsfXpM4t7H8YnBGi8GjY6KsZZST5KdptS8SpuG21cfNSsLmG+b7vlyV+H6/jqFo3mEobZo8uznQWoCI8JoJ4flJAa9GTEjGGGq8DEfXixNOTiq8PiOQk9SjtnY6dtHoo93ASjqPDMoIqnQPr0mspBXOquM4rzE/C7HMUcY3FU6vsz+uVyfs+dtzArf30iO7lFL4cEFgJq5wUbOGfbV5XPoZdTQcbd0GMtkaYIhmSBxsZJOsLPbWcNxTIm8Q9zO8v1A5O9Z6GVYzlXHwYTftrCq9x68zJA0FQ9J3nDWhiELR7EeBFr9ohhYgjTHopk46YdDpmloiX6da/JsSulLqbRCaBUqpVQCX/+lP6T83TkSlTQLYXcNxRh1Zz/1hSeKDBYXzm6hNY7FhnAaY9HuocvxZv4Z35xV+O2jg293lw6t4TpVttQ82apAKePg4JXXG6JxLh7dWhN0ETXx8TCBrOKM1CuOMOo635iRm4gpn1FV+70qGqvMPFiR2RXiRUYJlZNDjgMn3u2ig9mQJY3U1TcncSlKFFflyOt/aOLomoADc1kNJKGnAxDMrPDVOxJ6RjfInW2PEKL2rPy/n2lBCzllOEZu0wcfwrQ6OL1Yqk3YYo5nCUFQgYXAcXiXFw44gkbj6HPDe3SHyPK2E/jizjuOzZQOfLwuMxRQWEgpnN3Bc21E+U9lfy/HPRw2CxdqgnKQi6OYXK6Svv5iSuLFTszU6B4DmABlxVHKi8uuEg69kau3VGaBo2J0SCtEsJedYlrRgEgbd7/Ec8H99bcBjug+5Oe3gGOg+z0plLkSEaReSknda5FnHnH4VsoI4HGE3QSQ7Q+VGHidTnFJM0em4xEJSoTVAxhaVEm6lsAxoC63n5hIS785LfLJo4NwGju2EDA3Tfcenc1zdDhxbZ3hklJAfhWJWThZ15zdRUn9oxMBlLbwiwgSgCvVAPWGljROwlIsb1I+bjCtMxJz7twBt+ztDDBtZ4PBqcaU5FJUYqOaOD1E8p1DvIWLPC1NklcfNZFrYv1/LqK2h67Kp2DgRk3hjRqLRh62FMGlQpf/qNHl7XtDEMbJRvD//ZIn0wS9p0Yp2VX4Xg4dTv3g9Q1IMl7Zo2FfDkJPAS1OGoxcrQDuCnFT4fFmh3iewt4bj8lbNVsWxMHqqGF6fVY7HVkphJqHg5sDrMxKHWjlu6irXw7fCp5PuzZerEhc05e+llEFJ/MsVYk+eUcexL6Lw5apCc4Vq3qMxVLsJX15pgFrnZVhJK4TcrMhzYCVNTmEraYWsAn4/IlDjpWOG3QwtAY6AKXjn14F/PSrwv+3XHT/falrhiTFCY5WGVMRdOLImcXxDojPEsZlVmEtIHFsHOoPaSS3DeEoldM4IT3x4TWA9gy23ou4QQ1vQfthTGkoRI7L0uWsJcHy3j2MyJvHmLG3RJ2NyC4lRGimjWIJ3V4Sj0UfaKsspbMHUCuUBSuOCJg6pgJemZdEg0CmqXPQQvTDlTPW3YipGSfr0OpLN/fHOcvimFQtJQpmcUcfw5DgxQq2HcTCqbMlEVsRzQNBNEMjHxwT+/rCB9iBDVgBtBcO69Qy53ADAcgoAU3h2QmJvDYMqeEItUtF6GrizXysbjH29St6fbQF7c+NGP8NHCwKjmwq3dGtbeu5ujVoU45sKOyPF1yGaUfh0mbRQ+qoYarxEaNlTc2L2OAEXkdsG1xVOK1gMpVIY3iBnpJxUOLeB43iU9Pq3Q1kdqNfw8IiBgw0ccQP4wxKdX3+Y4ZYCGGNOKrw8YyCZUxUXnrYgx0yifIBqRdIgNu7HiwKfLFHhpHN6xup9JBp2biPDe/MG9tdqGKhAaAq6RVG7rTQqYdU5I8ZpjZfBHWdFaKdTIU6phN4a4GgNAICGjCDs+XRc4b0FieWUQluA6N+VsLIWp88pGXaGOG7oBB4eEXhhUqA1QEYWoZIKuhQFA9BN+IMBHc+OCzw6KvDtLq2iVyRjDBc1c0zHSTq2ogwtLNQIw8gmycY6+X4CwGRcoiNEaJ++sMJrMwI3dNmfyHxS4bRajuYAR0uANEcONmrYyCpsZKnl4BQJ01NV5wzf7dMRN80mXpsRyErgIrP9sZbJC5RNxUkJ8I5eDUfXVdHsYCVNC+6PBkgZUZoLMACMbEi8MydwV79OlPCSAZ1SCilDYTpO7lClQ+Yd1Ug2zWMAACAASURBVAzDGxI7TeTNeoZcqKZiCqfVcfxkp46Qm2EqJvHClMBA9YkVCQANPj9cIBMRQyocWVf4ZFHAq5HnZ79pftEf5vjNoIGeKobuKudkVe+jFsPvRwRW0/T9/GSXXqba6eJU0AxvOPfwAcLiD0UlzjGJSImcwkSMvqvphEQ8CwTdZExxsWlwYUdqq/HwLa6AU1h49dLrb4VXI/G7Sr14S4b3VItTa/kqCI9GrZKLmgkZ8F/26Nhfx2FI4OVp0mP5eFGU3XxSFfta2oVQBI372W5KCr8ZpGMV2pJlhYLb5mH3agy39Wqo8zLcN2RAbistS8zOKjfwzARBIZ1iKaXQ6Kft+seLErMVFPKmYgqdZgI91ErY7WPr5e/PSfKOtJAzFzdrWxXaUJQqwkrElVI9m6CL2gVK0YDxy1X6nesZEr16fcbAWobUD1sDlBysB3/IrF6v69C2djUaI7SDlWRv6SED6KBJ9bdCKoVXpiWS5ozBLpn0hzlGNxXShsQHCwL3Dxlo9jP87R4dl7bkF+2OEEe9l+HzlRPPKD1VhAB5Y0bgX44aGFqXuKZdww92aNhRnWee+nRCLr0wJRwNIzayZFy9Zpol/2K3hkOtmqOhyc5qjsFo5XNt9tM98easgd8M5vDLYwYGoxJ1XuCGTh1/t1/HtR0aOCeHLycxsmrP9lK7AR1lTN7C0DgNQishF93a9mzSkzFO2YReGl6dpF5rvQw3dXFc2sIRzQD3Dxu4f8jAV6sSWUFO4ttdNEMp06WcUDF3D+iYiivcN0xGAUBl2zXOyABjfy2HxPYQtFiObNqEAl6bcYZSLpuQxWoP4dqfGRdI2iSFzSwNbK3hqYsz3NBFDkSlVe1ySqHWm4cd1noZrmnX8PiogSNrEgPb6HPHbQZ3cQMAA27q0vDOnMSDwzmsZYCHR0n5L+TClifrWkYh4qZ++ivThGgpZGpaFnJPT1B/3kJ+VLnzEDqhFJ6bIL3y7/RqWE7B9hpaqn2/HhSYTyj8cKeOg432RK9LW2jRzJwAXTGWVXh3johPo5sSt/bouKNPR0fIXkKgM0QM5o8WizNaPEeInN8OGgi5GP52t4awm2EiVvn391QxzCdU2b2QFgpH1yWeGTdw37BATgFCMlzdruHv9um4tUfHgQYapnLGUGcKeVUqKqrdDOvbVOiFQmlO4dOL1TFLw80tjZxTK/6a0EuCM4CBqvdrOjT8t706zm/iGNmQ+IcjBl6ZFtu6gpUOHSMehtt7NByoJ8OH9+cFUkJt60DeXcVR5Sa25/imczmymVUIuzlu7tYwm5D4eLH8vYmcgqHyIl/9YaK4Pz8pypLXZIzaJIXJpNlP7NYXporfv5Qql8QdqCYK+GIK2/b27SR3F5OkBlnn4/jZLh17IhxBHfjZLh17I3xrMCekwmaWEs+zE9SiyknAU3C8VRMbfVUbLxrsVpsQOkMqPDVG7Z3bezWEPRw+HVi1kYP9YkVgI0s7ilt7NFtXIivqfNQX/2bN+XtbSik8P2ng14MGcgr4dpcGoba/ZgAZfX+9KhHNKKxnFF6eEvjVMdL9+dkuHRe3aPDqHBc2cXywUP4dF4ZbIymM4SiZox9dl3h81MA/fkOLcmeIvoeBaoYGP0NrwF6GwKMxBHSadzhFxHMCCb1k92QXFrzRKU7UIelki78m9JIopQxzRlvIW3t0/HSXjrCbQSjgwWEDw1H7athuaMoYDWh+NKBjLqnw9qzc1hk+bagtyOFzkwKDNi0PIC+Z6tEYbu/V8cWKLDIwAEyon7c4SV/cQqzXz0paA+MxiR6bYe55jRxZUfz+JQetlwY/tTVemnbeMSilTPRK8c8vptRWlR1wMYAB3VXUk11IKTSZr61naXv+1DiRapr8DBrHFqJmNa3wyIgBjQFdJf3msJlYnhgjNMwt3XnUSEuAYS6RP2dDKrw0ZeCzZYnv9WuIZmgx2C7OrOf4bLn482eEwuFViYdHDDw6YqDWw/CL3TqubNPQGyZo3mJq+2MHXQy7Iwy/O047SL+54F3ZphXteHqqqI9faJRRGkrRd/DevMA/HDHwzSohk/7rXh239+o4vY5aKO3B7dmgDT7iOjhF2EOLuFHh3v9TEJBO1YR+Sg1FTyQ4nEV9Qi6Gcxs4PlmUOKuehlhvzymc01BMLFLKeaUMualaf35SkKTpssAZDu7x1uC0PcjxnV5SXkwLFOGVs4JwuNaANeSipP7QCNHxLYnRtTS1RgpDM5mkDxw30BXkqPPREHF8U+FSG0IRL3h/d4jaUytphX6btspKWqGvimElDXy0KHF+U3l/KZ6jha8UXbGUUkWtmrlEHi43n1Q43yQpTcdoOHpth4b+MMHTrOuwniF9lotbNLw9J4g1WHAKbk7YZ68O3NCpFVWcrQFy4NlfyxHPEZ49oGPLgm5fLUnRXtZaWdK2PUDY7LENiRxIG2hik7SB9tdw7CgZmjLGMFDNcWRNosnvfOyFpMIHCwJzCRr4XtfJ0R+2fz9jDBc2ESlpoETtcyOr8PWqxOFVCa9O99uPd2qo9drfve0Bjo8XK9M4G/2EWXdSh9QYI0/TDFDrVUgatMOM5ShBJw2SPZ6KETQxK2i4mZMKyiQWKVCPfSEp8L5LwGX21N2cKnefThIRUgETmxI15sxkO3GzkyFOqYSulDJ7185frM4rq7RZ98SuCMfOahJN+mRR4sMFhQuaCbMsUXlwyhhDo5+qsa9WyUX92g6tDBaYFnloY6Of4Xv9Oh4eMWAohQOmXnTCdOcpfFDrfdTHfmpc4J4BqmzJb9QGdeAltuZzk2Qrt5hSCLrgaKhR4yUW6XOTAt/v545qjKtpajtc0Mxx3yAND0tRGaXiW1YsJhUubs7/+1ySPq9UCosmRHItrfD2nER7kG3BA60FcC1NyfyCJppDfLAgimjgaaHw+JiEhwPnNZS3D9oCROKZS0g8NS5weh3H+Y35RffMOo77hgycXc/L0EuFv2Nsk2YpT4zTee6OcFzT7mwGDgBn1XPcO2RgTw0vIpkJqTAWIzncpZTCOQ0cN3ZpGN8kpE1PlTPWv6eK4f0FqtIHqoGJmMIflyXmEqT/c2uPjkY/w5NjBmYTKFv4raj1EnEnllWOn7vBx/B5iZJl2jB10TO0a0oL4JFRKk40RrtLy+DCrzPUehgmYwr7ajjcHHBpNMfhyD9Xny4JcEZSxTlJbc6sII2epAFs5Gi3/fYcQSBTglo5l7bmpZFPxjilEvp6BvjtkIEaD0EY2wIMrUFW1Au1UBGVwsr3jDF0hhg6QxwzcSIWfbxIlSnbptMuJOGvr+nQ8NacxG+GDNzYmcc9A5QUCp18Ih6Gu/p1/P64AQ6SyU3kVJlGCkB66osphafHBe7s04pgf6VxWi3D8Q2id3OGinA4gFikIxsC78zRhbIjPq2kSX445KKB6rMTAncPFF/rZZuEnjYfSAuDnDaoT17vI/x5yEXV2cOjBmp9KBIkSxtksPDQiIELmzScZu5kCuVWU4bCI6MCLX4Gr6awlkWZXEG9jzTWHxsVuLZTK9uBVHsYzqjneHVG4Nae/IfPCvLmHIoqzCVMlc4akio40MBtdzKlUeVmuKJVI9/WAQ3zSeDYOlmy1XoZ9tZw3Nydr+z7w8AXKwx/XJI4t9G5Sj/YwPDqjMC783SPH6jX8O3uYq/QgWqOo+vSEbvNGPE1phMKux0SerWbdlQfLQgspMjkImXQsLzWS1rprQGq0i9qtpe7kErhkyW51S6yizofw1oajg5OACliXtepo97HYEgiOp2Id+1fcpxSCb3Gy/B3+3QsJEnMaTAq8fqsgkcj+nVPFQNjqnKFDtim6rYgx519DJNxhVemBZI5YqY6JVHD7LPrnOHKNhLdenJc4MImtdWCsdODCbsZ7uwzk7rp0+hkknFhE8diUuD1WVmmlVL0mQps5bwacGV75bueMbKV+9djhqNLUWH13RniOK9R4XfDBm7qziNNVtIKzSVSB4tJqvitqnnOrMg5Y5hNCNR4KGEfaiVNndoC8slSSmElDVzTrmFfQVJycTIeTuTIwKK7iuNQC8fbc6a6YkEopbbkgA82Oifh8xs5fjtoYCgq0egjiOLXqxKdIWJg3tLNtnaCEQ/Dy9MkQ3AiJgt1PioH/r9v6PPujnD8aKdmu2uydOnvHzbQU8XLdksbWVIKPbwqIRUJoh1stG/x9YZJI70SG9bSht9ttlRiOWqPzCQUZuLSHDQDGzlqm13czIokHADgqxWJmYR0/B2c5WGlTuSioM4wtY2cok9jpqomLQxOO4+TKU6phA5QAm0LMrQF6e9KKSylaBD4hyWJmQQwlxBgDNgRLt8ea+bQ1I7UYEkBXNys8IdFiecmBNqCEpe2lD+MhiyuFnZU08P4xJiBxZTClW0acqIYo21FtYfhTrNS7wwy2wrZOp8bujTcN2SYLRfn6xJwMVzeyvHspETDCdz4QRdDb4hhIl4uyJTIUb+z8LwONGgIexieGBO4oEnhzDqOlRSwr6b4ukzHieBV+Pd28+8jG/T9XNuhYaCa4bUZteWutJhUeG9eosmHomQO0KIYzSi8MCmwK0LID0uMayqWTwo5SWJeiRxwfiOzVV60QucMFzZzPDchoHPST/nRTt0W+dJdxdHoyxOu7CKeI3TJN2sSaYNITF+vKtzc7WwlaEXEw3Bpi4ZnJwzcM6BDATgepd3CbIJaF/cM6JiO07+d1+RE2GFoCTBMxBQGqu3f0+QHPluWYIyY0PEcmWXQXEBDg5/hsVGBviqOPofFsMYLfLVa8SORT2mFIiTgonZjpfBuA208GeOUS+ilQf1soNGv4WAj8MaMgXgOGN2QeHOGdF92RTgGqqniYoxtuaE4tUI5Ywi6Ge7s1/DxksRvBw2c3VDs5qJQLgIW8TD8YIeO5ydJ9zzsVqhxGFBFPFSp3ztkVGRiejTaATw6KrCaBhoruLf7dar431tQuLq90lWjkIro3kMbCjsLEoBVnZcueP1hjrodDE+NG5hNkL5HactlOk6iU1ZMxRUuauKYiEmMx4ArWjl2RmgAqjMi2limzjuq7StgxhTenKXjFibUOi/wxTL9fyJH0rY1HuC7fRqiWeDREcN24ZZK4dMlgof6dODqdo4+h6GkFQcbae5wbkO+OlZKbfWzZxIKO8IMl7dqW5BRt0ayuNd1bv+Y7qkGvl4FfjtoIG4ArX6aLdzUld8pBF3A23OqzAmqMPrCDCMbsoiaH8sqjGxKjGwoTMXJaN3Dges6NTT6yoljTT4ajPaFS49O8W9RZnSKkIuVcSJKw6f9NaGf8uHVaWJ+SYuGrGnMcGRN4o1ZGiCdVsuhWwnd4RjWLerWGC5u1rC/huP1GYF7hwx8q4NaDk6MU4/GcEu3hg8WqB9fW6GqrvEyDFTTsGt0Q5bpc1vh4vSAPGNWcE5b3YWUwsDWA80qCnIBwGKaoIzvzYktr0qABl9O29vCRctqO1khJMkxWBV6TiospUg+4O05CRcnKCCQ10qfiUs8OS5wTbtG4k8lu/CVtMJMnCre0uq4zkwsSymJJ8YE9tWQLjpjDLUeIpGtZYqHhPMJiZemBXwaw90DBBFdTMExeVnRbA7BZxMKrQFgZFPhwwVLo0UrSrxWnFNPqolOQ0ipyDbxWFTieFQReiQL/GSnZlsI6Jy0eT5fkbjKoa3WV8Xx4YKBjYzE0IbC4HpeLXNPDccNnQxPjQu0BJhj/7rRT56lTuHXqSiyBvp2sR1ePegiAlolC73ANlj1kzH+mtBLws3zq7pbI6zvbrMiPLwm8eS4gZwkS7XTa7mjYmMh9Lraw3Brj4ahKJFYBiIKQiowB9k3xhgubNYwukkGv80B0lSxC85oSPn8lMDtPfZO6HGD0AdeHXh1WuD6TnthroUkQRD7wsBLUyTI5ZT8M4JkTvfXMhxZZziyprCvlt67kkaR0XRpuDi1axaSCi9NiS13nYWUQsSTlwGejku4OfDhosQ5jRxziXxFt5wmYtYT4wI3dGroqeKYmxNFMwercm8LsjJZYoAWTxcHHjoucHmbhr0FYlpW+2wiJlHr1WBIhXfmyFj5UKuGPRGqotsCDF+eAMWfMbaloZ8y6Hs7v0nDjrCzw5FXpyT62Qq17QDLiELh6DrNgMJukkq4YCcRnZ4YMzCTcPaq3VfDcb+DR2nSIJOQrAB+M0gwxwubiz1OAaAtyDCTcK7AG30Mb81WTqSWMqOTREDEwyrKEeicwasR1NFpUfC7aLh9KsVfE3pJuDlDVpTfSFVuhguaNJzfyPH/HDZwbF3ho0UDZ9WRi3lhr50z0kwvDMYYdkYIFfPWrMBgVGFvTeVz8esMO5oYXpgUuKQFtuiDrAA6g2Qm/cSYwF39rCyZWq5Hh1oJbnd4TWF/rX1Cv6iZfr4jKvH2nMTVDpXcYpKIShrnuKSFzCJ2R+jBX8so9G6DlJmMK5xdz3B4TeHDRYld1RyjGxJNfqrMJmIS785JuDXghwM63p0n6J8VxzckllMk0GUhg7Ii37efjhPk8Op2DcsphbTN1vvwqkRGUDtkr40yYleINE66Q6SLHnYz/HRXsel2W4DhhSnn9oFU1KY4ti4xuE5s3Vu6NXMAv/2A9EA9x/1DBvqrGI5vUp/dxWlQ+oMd5QJie2uIzOSEVKn2ENJoMqbQXUXoj5ENhW/WJKYTCr1VDD1VDHVe4OIW+/TQHqhseBHxkM5K0rBHYAFmQk8pdJm280opE4dOPxfNElLok0VSLrX+KOSLJaWA12cEqt20q3ZxWqR9pgyvVEAsV0JAOMnjrwm9JDxaZdEfxuiGuaZDg5DAp8sC/3zUwP4aQg8EXGxrcGoXPp3h2k4dScPA0XUFxgQubeG2vV+pqNq5q1/Ho6MGYjlVhIcG6FzdGtAXpsT6yKiBH/TrRVt0SwDLxcle7vcjBloCrKh/nTbogbI0xy9v1fDrQQMDYVbGsgSoPWNVve1BjlqvxJerEmfVa2bLxTlZKTPJXdCkoy9Mcr6HVw1sZokHMBkzUO+j63xVGy2WM3GJ/TX0YH61KjGfIEJNIczTUAouznF8gwycb+jU0F3FEc+JLQkA6/e/v0ADyP21rGg3VRhdIYaXphRm4gYuaua2BDC/i8GQ5TOVxaTCV6sSQ1GJkIthV4ThO30cT4wJx9ZYacSyCsNR8vR8bEzg9FqOW7t1NPic1T57qxhenqI2lZM0wc5q4I/LAsc3aKFp8BEc8oYu2pGNb8qKCbvFNLwwpLKFFTJGfgMLyWJjE2k6a61myNRiMkYtzY2sMiWBTU10U5c+kaNixGUm6RDPE/YYA2YTVhIHcopaOGsZubUwbGQJ2fR/f51D2NReD7tp+H8ii+lfYpxyCf3NWRJhavUTHrbJX9y7PBHKMOGaFZr9HNd36ohlFT5ekvjXYwb213K0+SuTkwCinrcECGp335CBGzqJ3FEYloRArZf6zo+NGohlgava89vlrMiLfO2v5UjkFB4dNfD9HfleeTyXx6DX+wgR8cw4GQRYC8mCKdxl3ehenaCML0wJ/HCAlQlozSWKq/CLm0mQa6CaIS2oZ+8UaxmaM0Q89PB/r1+HkAp/f9jA3+6hCjiZU/iXowbagxxJE4ve6Gf4dEng0yUJjaFsF2BIYD5Jw7vberSt9pNPZ0ia5AKi8ZPI1907dMwm1JaiY2HkpMI7c6Tbc1krx75a5yqvcB6ynFJ4b55YnGfUc3y/oIpOG2pbW7SsIA30b9ZIsXJHNbkdLaYkLt2GmQpQK2JHNcPgejkuPWUQyuWrVYX1DHBBE/BDG2ROe5CZuxplq4Hv1hhqPCTR0OpgeNHgA4ajBJddTCospEiVM+Ci6lzndN3OaeBbbkKlRc3fH87h3EbNsS2zmiZeghP+fjml8NQ4OWFtZMl3N56r7Dr1lx6nXEI/UM8xm6A+5FtzcguR0R0igSIXV47i+Va4OCuS5gy5CUlysIHjo0WJ56eo9+v0QACU0HROyo5H1hUeHiUzgnMKUBCFiSLookr9iTGB5ycFruvUoDFWVhkebOTYyJKU7m09RGnPlGiv769hGN9keHtO4so2emEzS9KmhdFdxbG3RuG5SYE7evP0eKvCLpQHaPITHPTDBbmVqJ2CjD+KWw6zSdITsdoZ4zGF9hC1cGY2JZr9wIcLEkfWJW7uJh/SwmtL8FOqyL6/Qy/aIQR02qWkDIUnx8lH9K5+0m5p9AOL08Utk9W0wtPjtEs4o5ZtK/eqAKynFT5cFJiIkRHFDTaOQm6Tjl5KGJOKsNzfrEsc36Ch8Gm1HLf2EGonaSj8yxHpWBGXxq5qjrfnJc5tpOsynyQs+sgmtVSuatfw+rRAdxWzreJ1TsXOZNwZvtga4JiJK9NfgK7tVJyeq5k40fdNxzk0B2gYW+/Lo5BShsI/HzHQHXJuPdV4qH3nlNCrtkHCBE1oo8+UA7Cbo5xsccol9Co3Q5WbbWlNGJJuwvEYSY+umUpxh1dJy9u+QrEXzw+Zzju9VQzPTQr88piBC5qox15Ky2agHiBjDHtraLj27ITAdELg+gIZgMKfIvEtDU+PCzw9TnKwomTKzxjDle0cj40KvDFLCTtXQlBijKQBfjNooCdEbjKxnLLVy76omeOhEYEPFyQubKbkv5qhXUopPvriZg33DhnoDjlcfDMmYgo7SujXkzGFrlD+eGObEj3m3ydjElkJDG+QEXSpoJdUCm/MEqnlqjZe1u4Juhg2cwoPDBvoC5M0snXNqlyUdGI5ShCD6xKvzghc3KzhtFpKau/NS1zUbP9Zomm6EX53XODsBo6r2+3ZjwDBWZv8JPzVU0WzgsOrEofXJPw69b8PtWhluyG/TnONmbhCl4M3a2F0hBg2JhQ+XhQYXFdICyKrXdGmbS2YvWGSJmh1cCDqClGffaDa/vXmAPDlikRKABObhIRpDdCifkkLh08DHh8T+FaHfYrx6TSQtoTl7CLiIXZ3R9D+9bCbYaqCWJhXo11bTqoTInSdDHHKJfTS0LlF3ycN65W0xH2DAsMbEq/NULU0UE04dCvJeji1Opyi2kMVwc3dOt6cFfjjsoFDLdqW6wxQrupY7WH4Xj/JAPx2yMDN3fTVlO7QXZxgjc9NCjw+JiBkOZ5dYwzf7tLw4HEDf1ymc3WVtG29OsN1nRqemxD40U6GeM7ePJozhpu6NNw7SGiRrhDHVEzaYt8tn8j1Cs7uwqzur2wvfm0ypnBBE52kUrTAXtRM6JJv1gmSd1e/Dq/GMLKptkhSFhkoZZDsrB28L2r2aK9q4zizvnh7zhhDs5/EuOaWaNh6R2/eoq0tANv2QyJHw9wjazSk/G6fhsYKNHQrWnxEzPloUWI1rbA7wnF7r14mQVwaPVUMo5sKXVXO78mY+jFDUVoAv1qVuKLVfgDbXcXw7pzzQtUZ4nhuwkDhQDGZI3PpkU2J8U3Co3cEFS5r42j1FyNhLBP0StZ2dT5q7Tj1+ms9pK/uFGE3w0YFaCMz7egSufLd58kap3xCL40aD4OhgJu7qbId2yR42JtzCj0hhn21JBhUSTzfxakyaPCRrdrYJvmMfr5CrZlaL8m8lvbZNU7GFm0BhkdHDbi5vdGCxhlu7NLw4pTATBymDG/xQ+HVGW7r0fHgsAHO7AXJOkPUUnlpSgBQ6ArZ9yKDLobruzQ8PyHww50kSOaEYtE4iWR9uFhsUGzFdIzYf4W7gYygLXqbuUgsJBV8Ol3H3x0nxb27+rStNsVqWqHWQ62IJ8cEQi5Cuzw0IsrIXt+s0bXXGSFD7KLWC7w5SxT+Hw3oRYlb57R7stoPhiSPzz8uS+ytIZ3wV6Yrk7aslsrhNYnhDQWpyDN2f412wkblvWGGZ8YFDrUWww2FUji+ofDNqsSUybLdUc2xr0bh9VnpiKZpC1CyTBnKViys0UftioUksU2HovQddQZJTvqqNoZ7h8gf1I7NyRhDk4+gqD0OCb3BTOhO8McaL8Nhm/mGFZb7USWCUpW5O9uObXuyxF8TeklwxrYGoz6d0Am7IhwpgyBj785TZRXNKvSFuW2botTPsKeKozPE8NmyxIPDBk6v4+BQEA449J0RjgYfw2+HDHy8qNAaKO+dckZQxeGogZenCa5YutWv9jDc3KPhwWFyGrKrAi9qJlxyysibX9hFV4jjtDoyklhO2cvr5iRpqfxkJyXXKhcro+EPbZT3ZUc3SMjK2haPbtK53jdsoNXP4OYK3gLHkNU0La73DxnYWc1xSQvNHQp7zEpRq+TIusSdfTqemTCwmSs25gZIwOnrVcK039Zjj8/vqiJzaL9O6Jk6L8MPB/KU/NYAw2xSYXcJDHU1TfK0R9fzLZXLWsmY4qtVgq2eKKCuyUf97s+WJc5u0BDL0jD3q1WJajf13K/vzO8ilVLgc8RAbbfZTVkSGBMxhV0lptfJHBUxDNRK2hFmOLuBoztULJbVGmCYTTjT85v8DPNJhR6HXUWDj2F0wzlhW4xSp/BqhChLGjRstYuQC4idQlj0vyZ0m/CalGFfwdXx6Qxn1Ws4qx54bdrATELhV8cM9FYxnFXP0eLPV0KWul9h5aAxhnMaNOyKcLw1KzC2qdDu0L8EqDpp9lOS/P1x8sIsHQ4xRjouEQ/Do6M0uCxN6q0BDq8m8PK0wI/8rGz7S9W+jl8dM7Y11b2giePBYQGpyvvnALEgyeKO4/Yeht+PkIPO7gglAqUIhve9/uLbbqiAai4kJSpDErV8MlYuz7uQJIzypa0aTitYMKxHPysUXpgi2dS7d+gIuGhuslGwqCml8NEi6atc10EaNtLGmAQgGv378wIjm8CVbeWO9W1BhpenBKz0nMyRwNfwhsT+Go47evWiz3CwkWMpJfDylDPJqzQYY7isleN3xwXGYzT32R2hY9st1IyR5vrhVWeBuJ4qgijuinBkhMJwlIqWuSQNT3dUkz6+k/SAldCd+BTNfoZvKjBGtJCROgAAIABJREFU670MHy3aGMRIgtBmDYWNDHBkTUAoEljLiTzHQ5nf13vzAjVe6snrZkFGWHRqfW5kJE4VL5+/JnSbCLhoO1/jUEHX+RiEYrizj+PwGolw+XSGg40cO8KUvBjs9V5CLkqgr00b+GZN4dkJA1e0arZ9RhdnOK2WYTkN3Ddk4JZuDc0lTFDOgQsaOT5bUY5J3a0BPSGGpyYEvttbvs2vNWFkb82SfroTlZozht4wOeospcor/ul4vhqs8zHc1kOeoG/NKeyNcDT6iPBRUzC0zEmFiU2Fa9oZJmMSL0+RUuXPd2uo9nC8N58rIjd9sSyQMIA7erktezaRoxZSvY/hzj5tq6KsLui3pgzqu2cEkZZCboaaBYkFGxjeVFzihUkBpYCbuzS02iTHZj9DLAdEM4RS+XBRYk+E4+e7dNuhuqVW+cCwgcFoeYVshVKkIT5m9qxnEwoaI9TOf9njLOFgxUA1xwPD9no0ABGE3puXyI4bGDeNN/bVkjyvWyPnoafGncVQ2gIMX6/mF7LSaPIzvD5TnrAtElEiJ7GeBl6bITjuRpYkbrMCWyqinAGH1xSCLjJVd3HLJhIAI72WWM70jpVATkpkJBVkKYOMMwwJfL2WQ5WbZHtbAgxn1J2cZKNTLqErpXD/sEC1m+BULX4ymyicgvv1ykpuXo0hLSS8OsPZDRoO1HMc36CK7905hXMbNbg4tW10h8Kgyc+RNASCLoZfDxq4ok3DzhJHGcLqMlzQRC7yj40JXN6KLUMHwLqxGa5uJ4nWx0YFbi9J6gzA2Q0cb84RguOa9vKqkINYsh87uAtZMZcghcSXpgR+sKPY6Wc6TpA9K1oCHHf2c6xnqPXwyoyEVyN0xM4IkUeGoxIhFyEiYjmF7hBDTihUezjSgvDSTaaT0ttzEoNRiYAL6KkqP8ecIMbqwcZi+CdA/db1LDCXkHh6Qmy1aiz0UVuwGIaXk2TcfGxd4uoOMpKYjCu02iAuOGNo8AIPDNNC8r0+3VH8ygoXZ2gL8DKtEalosDmyoTBm+sh2VxHs76Zuuu69VXzbZA4QeoQzQopYUgBC0sD52DrBGA1JuPCr27WyXnq9F0gbzoYWDX6CdDrJ7YbdJBM9HZOI5chtaiGlsGxa1NV52RaHYneEI+wmFJpfz8NenxwzsCvCi3TvS4OBtNXt4viGxOfLAle26djMKmzknEX1ToY45RI6AFzfqWEuQfjco+vUE2/wMXQGGTpCZHxQSdSnVMWNMdqe9odpePbRAlHKv1yRONhk7yTj1gBDMVzWSlKwL04JHF0nOKEFW9NZ3phhRzVHxMPw+JiBtYzakoC1lB8tKKKV1O/oLXWjZ7ihU8ODwwY+W5FbjkdWKJBq4O9GKGGUkpwAgnhOxxV+sVvDUxMSnxccx8KB22F9Ix6Gi5vJWu2cRo7xGImdCUXb5oiHCCb9YYaHR8TWMecT5C2aU8Dz42TkfEUrxx+Wyr+br1YlolkiAZ3dUP5wV7tJh/vYOumll8Im24M0gDu3kVo6z00aqPcy/MSk+ruYxDvzEuc3FR83K2ihWUrTfXFHDwc/wUFnVhKzFaBq8qtVuqZBnWQiDtTrqPUWY/qFKkc1OQVjZFQ9GZPYzDIcjZJRRp2Xjn9pq4b35gRZtjnsJNqDNATfU1P+umYyQucSJCMAYMtVaiquMJ1QyArgyXGB9iChic5vpPmQlbSfnzRQ7yUFTbuwNF+cosbDthY+uwi7CcFV42VFO8OTNU65hM6Y6ZziZdhXS/+WM7HoUzEapM0nSQtEKqLUl8KqvA4qbpagU1eI45dHcxjZJIzxhc0adkeKWxnuAuhja4DjRwOkj/GbQVJk7AtzuDWGXAGapt7HcPcOIhdFM2SM7OLMNNxlW0n9xSmBJ8YEbuul1y0pAo/GcGuPjgeGyZy40JlIKmKvXtai4flJUmUsHcTOJCgZ+F1kpfbgcQM7whxVbrZl2Ot3uKOWUpSIzqrjOFBPn0tIhX86KnBXv46gi9ihi8l8cphNKETcwL2DZN5weSvH0XWFKnf+mgil8MaMxERMos6LLe/RwkgbCp+vKESzZKRs1//vCDK8OEEszy9WCO63K5LfMbWHGKITCtFMHjExGZN4cYqS1d/s0vDAcYHpBNC5DQ7fipykFtELkwaGNxT6w2QIXsmFR55gQleKEmosB7wxK1HnpQH/j0uMMjpCHMNRibPq7Y9DxtAKexz65G0BhtFN4gCMbUpMxhVCLqAjyLEnwlHtlnBxhkta7Cvoxm1Mpeu8DEMVBqcRD7CWdnx5i3xUCQlzMsUpl9DtwsWtREx//2TRwESMtojvLxgIuUjLe3eESCt+nTwKK0WVm+GcBg6NAe/OS3y0qHBxc15dz1siMaBzouT3VjE8PykwsqGgc4WsLL4JAy7SWX9+UuDhEQEGVWSZxxjDtzro9afGaJjq2loYGKo9DDd1Eznp+/35qsUaG+2tYRg27eguLXkIxzfzybbWy3BWHccr08RIddJAt2JoQ2JHNS8YHBPCosHHtoa9xzeJOOMyB6jH1mmrfk2HtgU5jOUkqsz3J3MKT5sGE3fv0PH4mCjT0JlLSDwzIdBXxTAdc0ZDJA26BmObEj8a0MtaDBpj2Bkhi7ZzGvgWguaadm3LyOHcRuDjRYnObWSHASoYpmKkZ3JuA8ff7LKfo5RGtdsZ6mcpMR6LEhbdpxE0dS2j8MOd9o96Z5DhjRlncbH2IMeXq8V4dKUUFlNE9DoaJZOLndUS/WGOq9pZ0fDexYE/Ljsn5AZfZVXFOh/DBwvOCb/WZJM6nb9XY2CMoLS+UyDbnRqj339jhD0cOgeu79Tx3/fquLJNQ0YADx038NvBHI6sSSRz9hhxK3wa9R87Qxzf79dwWYuG9+cFfj8isJAkkkrKRvClPUjON4ZSOLKmbIkVLk7EobYgw2IKWCsR+ueM4fpODS4NeHpcwMWKdcI7gpy0V8YMpM2dBgNMc2uq8g+vSkyXsPDGYxLdBWzO8xo5MibmfC3jrIEOAMejEjvCxQ/c4LosMsYYjkoMhAlx8ewEsXa/06sV4cdjOSDkBmYTEvcOGWgN0PDVq+fbTwB9N58sEvnq8lYNV7brqPGiSKQLMP0rFwV+N0zH6gkxRwPkPRGGr1Yk7h+mttePB/QiV549EYZolnRYnGIpRZK+z00I7KkhlNK5jfyEkjlAuu7DG8XftyEVvlgR+JejBGH1acCdfTp+ssuFy1s5DHMnYBchN8kqL6Xsf1+Dj2QTElmJuYTEGzMC/3TEwDMTBoQErm7ToIPamPtqeRkSq9mELjo9K1aFLh1er/XAtLWzf93yL6g086p2k2PVqRCnwJr1b4+gTuwygJJje5ChPUj92ak49d0lgIdHBc6s4+gLs7I+eWHCZoyhN0xaMV+vKjw+aqA9yBzdVLwaw/WdOl6YJJneOq8oG/IxRhX9xKbEO3NEimktQMBwxnBjp4anxikxpksWj9PrOJbTCs9M0BDVzWmo6OK0C/hWB7FRfzxA2OZ4jhAIhS0NjTN8u5ss7hp9NH+wi7U0oRoKESSGJNahJTiVEdSfP9hIiJ46k3VaiirZzEgYkuGDBYlvdRQbOFtw0XiO7Oaykip3q0VSbyYPq8+/btrSMQbcM6AjmiG44UU2n0EqOr/NHHBOhK59aUWoc4ZbunU8NGIgYhqRA3TtJ0yCGn1Gjpu7NWgMeDgl8OWKLGOwOkV7kCQDYlkFFwe+WCGSU5OfmL+lEEXGaPA/myChL7toCzDMJiQa/eXnsJah4uTXQwIejXRibuvVUV/Q2w+4BVbSlPxLI+AiGGHhYLYwvDotamtpoM7m5zVOnqQrabK/s4sak1HqpPlS7aHhbXMFmPDJEn9N6DYRdFECKw1e0COfiuXQHWL4dEni1WmF/bWk2WL12+2QMpwxnF5HvcyPFynhfDAvcG4jtxVd6gpxpAyBoajCVFzguo7ybXmTn6PZT/Zp17SjCCNtJdx/OmLgD4sK/eFi3ZfLWzkeHRV4c1ZukaGsZ6YvzDG2qfDqjMCNXTrGN0lrpRTSGHSRNMDvR0SRVGphHIsSzrwwAY5s0MDTImaNbBB65alxqqjTQpWRgDJCYSYJBHRVlKit8GiEtHl5SuC0Wo4Lm4tZlZak694asn37aEHi/CaOA/V0bkEXORyVsicXkwovThkmNJVhI+ssPlbvI5XKJ8YETqulFsiC6cLUG6aFshARcnmbhodHDOyOcEcht8JQCmjxAy9MGlhIkVzud/v0Mqx+YbQErIRu/3pbkGMyJnGm2UdPmP6mR9ZInbDaQ4zLG7rsMfOt5oLQ4LNflFr8DHNJ5TiUbPITo7QUGZQVCgmDnqXDqxLLKcKiZwRBERXyYmcfLpAwmsYIm+7SqDDyavT3+YREX/jETLr/kmPbhM4Y8wJ4F4DHfP/jSqn/kzFWA+ARAF0AJgDcoZRa//Od6p8ulKJhUchl/2BaKm2VBilBFxnqHmyk/vFXK+Qd2hUiVl2gwjbWozFc0qLji5UcZhIK3wwauLJNK8NV+3RAKIbv7dDwnqnxcn2nVtSj9Wp0vO/0UgslnlM4q6Da03keffPiFC0KeT0Zat3cP2xAqDyixopDrRz3Dho4siZJLMuB7t8aYNAAvL8g0exnRVh5qxd+TYlRxuE1ucUiXUgqvDYjEdAJF17lZnhm3Cga2i4k1dY2//YerSyZG5LgcKObCrd0a7Z97CY/w5F1gQeHFTQO3D1QbBBh6fqMbJD7UlYofLBAg+1LWzTsqyHlyn86ajiKmWUEJfGsIOTN1W0c3VWliKN8NPhoBzi0oXBabXlCW0oR5X4hSf9dS9N9oTE4mlKXRrOf4dMKfey2AMP7c1YSJ3ZpXxWJbHWGaDF4Y1Y6PgttAY6ZhMQZdfbHbwkQEsaOgJQ0FDwa8PWqxGJSYT1Lg+fNLCXrgIsWsY2sRFoQG9qtEQKMm3+q3Qwpc3dpKNppxnJAWpDh9mpGIWUAn60YcHF67ndUc0eo419ynEiFngFwmVIqzhhzAXifMfYSgFsAvKGU+p+Msf8B4H8A+N//jOf6J4u0oG29BFVtTT7CorcFqH+qc7ppKlGKAy4gabZl6rwMl7dpuLCZmHnPTdA23qMBUpVbfVkRdAGHWjVsZhVenRZo8Elc3qZtPaQ+jW54jRHErDPE8NyEwBn1eaMLj0afp8nP8H3TCGMjCxxqyVfEARfDQBiYTQIvTxfj0C3Nl18dMzAdl6gvqLJcnOGGLh2PjFDCv6zV/nOsmjrXV7RpeGxM4KYubCXU5TSheQrbLbEcJb3LWskSbzBKzNC7+vOQzZkEuScppfDFisR7CxJXtHK8MCkRLknmiybMUCngjDpmm8wtUbClFHB5K9uqyktjR5hjOErthddnCMHy45361nbeqwN7IhxfLEtcXDA0lopgh+/Pk37Kz3dpeH1WYiIODDgQh6zoD3MMRSVOq+VQSmEuSZ/5eFQh4qX7k8gwJEEby5KRyYkkc4AWDTskiTXc/HJFIGYAXyxLnFbHy/xNm/0kY5AVynZhag0wfGzD+LSixc9wdE0iZRDDdzapMJ+gBTgnaSaSMmi30RbkqDYJQB6NCq7RDYlPlyVu6LJPV2M+iT8sOfMnJmISHyxI3NWnIWWQwuPJWqhvm9AVTTPi5l9d5h8F4CYAl5r/fh+At/EXktB9OsN/3+dCPJevfI6sU+vErVHFojMyceh36DsG9PK2jEdjONCg4cx6jk8WJT5cJNOLg40a9kZYGUPTb8If+8IcXSEi9dw7ZOCCRo4z62lQlixo23RXcdyzk0SaZuICN3RRC2bVtFiqNg2YnxgTeHaCNNN1TvTntTTDbT3UYnltRuLKtnxCq/EyNPmBd+YkukK8aGvcZLrHf7kit0ggpUHGxyTadFMXtU3qvHJLIrYvzEz0icJqGvhgQcDFiYizt4bjkmaOwahCwJSE3MwSRt2rKTw1LhHNKvygX4dLA3y6LNJl/8OSxMdLEpe1aEgbEuvZ8u9rPkHwwpCLjBnaAs5onDov8NImsJIRuLZTszXKPlDP8cBxAwcbCVpK3qgG3BrD7QVKjdd1Mtw3ZOCbNWZrcWdFbxXDq1MKny0LfLVKnp5n1HFctkeztXCLeNQWE9IOP14aQRdVu5YVYU7S4PaLFeJL7K/laA8onNvIi4a8Vuic8OazBXjz0muWFvnjW5EyCMUzHiMW7j8dMdBsGsucWU949CoXob3+4YiBsxvsi58GHzkkOe2Ya08Aq76eoZ/1u4iBerLGCfXQGWMagM8A9AH4B6XUJ4yxRqXUvPmWBQCNf6Zz/LNF0MXQF2ZbEDCLaj0TV5iMCzw/JeCfE+gOcfRU0Xbc6sGFXDT9twvOSNDr8xWJb7Vr+GhR4oN5hXMaOE6ry9vNWcYLAD00hFfneGla4Mi6wJVtvKz1E3Ix3NWv4d05iXsHDZxVz4uSvk9n+E4fwRYfGRW4tZuSwowht/TUHxkhrfRCK65GP0fYrfDYmIG7dxT7ZvZWAcfWic15R2+5ccNMQm4pJXaGOP7rXsIuj25IHFlXcDHgyxU6yWoPtbPOrGU4v5mOZbEBrSDBJ+DeIYEd1Rw3dtHCtJBUWzj3aIb0WpQC7jH76cfWgZlkvrWQFcQrOLoucVkrcQFenSHvzNIBWVYQ0/fLFYkqN3BhM7dN5gAtgB1Bhs+WBRIGOdwfatGwt6Z4ofBoDDd36/jdcdL8sUu+0QyZTxiK2g6HWjR0VTB9AKhqtZJcl8Mg2u79UzGJlTTw5apEa4AV/a6sIAciJ+XDdtMYuttGaIsxStLTcYmIh2Nkg1ioa2lS0OwMMtR6Fa5q4+i0UfT06rTorKaBepvBaNAsIeMOAnLWouBkKBNyEeLMaYdxMsUJJXSllABwOmOsGsBTjLG9Ja8rxpjtEskY+zmAnwNAR0fHv/N0/7zBGJnj1nlpixrxKHQENYxt0pbuuQmFzhDJk3o0VKwKAi5q2bQHGTpCOuYTVLF/vGTgvEaO00yIVymcrMbLcFefhq/XaNDJQC2KQjIIN1swrUEykNZ5cdIn71ANb85KPHjcwPmNfGtA6zX77Q+NGHhrLt+aCbkoAVW5GZ4cL9Z8UWCo99JnemKMcOeFQ9zZhCpinro4GQ17NGAiJvDTXXlt92iGJHEvaiHZgKygKu7aDjqeIQlGuJYBvt1dPFdIGQo+UzrgnXmBgw28qKqrcgMbpkHJcFRutUx+slPfGia3BQj3fE4DvU8phaPrCm/PCXSY7ZXRTYXjUYk9EfvvVimFRi/w7rzCngjw0126oxlyvY9hoJqG54UtmoWkwkeLApMxGqh/u5vjlWmaQZwIAabJzzCfyJssV4qFpEIip/DiFP2u7/frZQPKRj/Z1jlFW4Dhk6Xy15VSmEnQIPnFKYWgS6KviuNQC0dbIL8r3cwBC0ln0pUFb7Qb7loL0lJSIRS2f91ilLbZKEsyxkj6IeMscXyyxL8Jh66UigJ4C8A1ABYZY80AYP53yeFnfqmUOqCUOlBf70BH+18wqtxALEe99fOaNNzVr+MXe3T0hzkG1yXenJUY3VQ4siaRtcGTuzjhYy07u+YAx609Om7r0TG2qfDLowZpS2TLf5YxkkP98U4dOgMeHBaYsXFm6Q9z3N6jIZkDnp4QyBScB2ekrb6/luONWVmEw/XqhIyYitGwSyka8MWyCpe2cHg14KVpsYUdNiSgawSL82nUUhEmLjgnCc5oBzk7sqawu4YWDJIpoGQ6UJ1PwuMxheYAQSMXkuSvGs0C13aUi2+tpmkH9eWKxF19Os5tLNaSiZgkkyfGDLw9Ry2nG7r0ImRQR4h2D1IpzCYkHhgmj9Ibu+i9ITfJOIxvKtvv1fqZoQ3aReyMcMdkbsV5jRq+WJFIGwrTcYlHRgw8MUa497/do+OyVg07qkmO4N35bSQvzegPk5KhE75bKoJJPjhMv4tsFoGr2jVbtEmjWfE7RWuAvh/re19MKrwxI/CPRwy8Ok0aNmE38De7Xbi8jYbShS3GVj9V+E5hJXSnaPRXPr86L0EbncKyszvZY9uEzhirNytzMMZ8AK4EMAjgWQD3mG+7B8Azf66T/M+IkIthsyTZ+nRSo7utV8dd/YQjPrIm8Q9HDDw/aWBis/gBC7lo2l4YTX7qs97UrWE1o3B4TWHQ4cEMukizeneE4+lxgddnRJEUAEACYwChXe4bMraEj6w4p0HDJS0csRyKNC98OsN3+zTMJsgIocpN1HjGSPNlJQV8YDq/W7KynJHRhcaAR0YFUgaJZ1V7UIbDF2ZCKTWVGIrKIj30kQ2J7hDw7pzAo6MGzm3gkJIo6VYoRT3fd+YlQm6GHwxoZZWckIQ0ykp6eH+8U7cdjoZcDD4NeHSUbPzOrOe4Z6AYv+3XqYUwUkDgWTN9Rq2f+eGAjnMbNFuD6dKo9tCM4jeDBl6YFBio5vib3TrOaSiGMF7cTMPR+eT2x7Qco6bjxd93Ikc7nH8+auDTJYmz6jl+sUfHhc0aVjLOx4t4qC3hpGHk1cnI+a05gd8M5vDEuAGXBnzHJDBd2aaZSon2P98aJKSL0wLU7GeYSzh/7u0WnDovw3KFHXOt99RI6CfScmkGcJ/ZR+cAHlVKPc8Y+wjAo4yxnwCYBHDHn/E8/8Mj7CbjZKeo9TJkJXB7r4aEARxbl3hzjiRZT6/l2FdL5hfxnL2xRGuA4+p2Qp18tCjwyRLDoRZelMgASkBVbuAnu3S8NiPw62MGru3U0GEmIM4YQm6qAtsCCr8fITneQkXGfTW0nX9+UuDiZiIVAfSQfqdXw6OjAllBSQsgd6PbekneNeQmVUTrOdQYYdvfmZO4b8jAGXUctTbaKNMxshYrhAWuZwguaknsCikxFFUY14D2AMHwhAQ8utyqehM5hZenBaIZhdPMHnXp4jG+KfHajEDEw9DkI3VCO1x/ylD4cEFi0/QP/dku3bGnuruG48i6RGuQ4YN5geObCmfXc1zXmZ8h7IoAb80pRwgjQO2Od+aIeJMVwH/bp20JcpWGTyfNk1enJe7esX0f/Yxaji9WaJEbjpJ073KaIIelmjC1XjLQduozc8bQbMIL+wraGlZL5YsVifUMoDGFy1o1dAZLlUErD06rTCncaBZb9oGF0ehnWE2X+3/mpEIsaxK7YgqfLgmkBC0+aUGyF0JRW3IjQ0xcDjJX1xhBGd0aPcuJHLXsAi4iM1n+widTnAjK5WsAZ9j8+yqAy/8cJ/UfEVmh8NoMuc/U+6gHV4hLD3uYbTvECo9GVPO0oEraktFdSCl8uULoFg839U9C9tP5kIuGUT/do+PoOg356rwSh1o11HkL+sJZethv7NJxfEPi2QmBndUKl7TQgLXKTZTzfbWkkvjUOBlwXN5KhCXGaDt8eZuG12cE1jPUWmGMWh139Gl4dMRARgApQ8KnU3//O7000Du9jhfZ5XHGcKiVquRXpgXaAyRvW9j+GNksTgyAVZ1zMAATmxJvzAoIRbRxawA5skFCUlZv+81ZgX21HDd1afhkSRbp1mxk6fWFpMIVbcQafW1GYClV3FvOSRo8frIosTPCcW0HxxcrlQdkTf8/e+/9JMl1nQt+92aW99Xem+mZ6fHwQ1iCAAl680hKIvlEUSSfpFDE242N2B/ei/cXvIiNlZ5M6BGgE0mIDiREgCABwhDeEn5cz/S09767urps5r37w5dZXdWd1TPaXe0SwzkREzPT1V2dmZV57rnnfCYE/HpC47tDFq5rpNbKzkToN9gfP7Oq8L6W2mHfaoFCX5NZeqV+vp8uTmMZ1CX4AJQmfmcFeHdF40Rj/eNbK5J9O7SuMZGlSNrNLcSNey1m0ulDz+8xSHUJSAMJPh+nV6n+qDWLgN4oZQfqDYtdIa96g9POCI2uvRyOSjZ3tE/P2LA0maOrRZKIoj5nsGmjwghNB4GgIWEKykyXlMZjUwq3tghACGjNRF+ySZjzSYWlPAe/W5sauTKtB+uZd7xX48o6m39jdERIfx/NKCwXNCxN7e22CCu9vLW3Y3jcx5XfFf1xDYfbuiXu6iCt/syawtgmZWaPpGuZajG/Q2ACNc4PJgXeXFb4l2EyB29rJSb3QpXa3P4Eh01PTNv4zpCFj3cbjjs6k1hzSOArB008Omnj/gs2PtNHEk7MJyCBilrjL8bpluOTgoPSARP/eNrCIxMKn+tnvzsdFPhcP1ExXrTto2mJd1ZsbJQ0vn3Owu1tNMI2JCVNP7UDN3x2VaE7JvD9C+z3U7IYNQlirUgky09HbGTLGp/rN9DuEJUk2P4pK41XHbeh65tk5TwAfn5ua8nWGqdWNF6ct9EWFvjTAyYaglSn/M2U5Qn72yjRM/TcmkIyAJxokDjZUp+Aciwt8etJGycdaYbprMKriyTn3NAk8dHubVLRiQaJt1fULune6hCCvrM/HbFwIFmLjHEZnGfXOHsZTEp0R4GDSXFZ0gGtYfbB6w1SO8ICL87beGqaxK/uKI+l26nGs2WN387uYZgRFXh5YY/BapRm3IdSPI6pLDHpCzni0X2SFfaRtMSRFO+/aJU2+v0XLAymvNFHWms8MaXQGNqtJwMABUvg1Irl6QVwJcUfbEL3G6ThV0euTI30uRx72xrAvWct9MUEuqMS3TFRQ+aI+2lA2+LhbBQwBA4kJCKGjSMNBl5fUnh2TuN4mlTzmJ+tg4jJPnvCz23rTc0GjqYlXphjlX8kRQxtdbjV+tC6wr+O2UgHKMfrRtAgA/SNJQpJfbTbqAwM++ISXxgw8OikjR8O2/icY20XMAQG4qjou3zSwbC3RyRubqXZw8iGwr4dOOX1IvDFAQPrJeCleYVHp3TFwWd4Q2FoDciUyXhcLrDffmsrYaA/umjjWFVryFKsypcLrGpvbDZq2isBQ2NiE/jmOQvtYYE/92BKdkQEnpvlsPr5OZu+qn3biwLA69wdFRjJaBwGqGNmAAAgAElEQVR1dL7XihqvLFBm4ZpGug1NbbGyP7kHILcjQoz9K4sKFzdIlb+pWeKTPbvZoYMpgd/OEs63lzZ3a1hg0BmQfrBTYmRD491V6sDsT1BbvseRYTi/Tp/R6y4Db9AUFJjy6FMrrTGWoRzCbA7ojGpPFmrUR6XRpTq6LZ3O4HRnEaS1xlKBVfeZVY2zaxbSAQrRHU1JfLCDO8izaxoXNlRdN6G9FiQhuNNeyntrugRNuh1tOu22KzX+YBO6V4R91NvY52BxfzxcxsGkhAYwkqGVWsCg6fO+OLU/dg5OqyPuB4Ysar/0xiTWixq/W1L49pCF/QmBk81Gxeuy+uEJmwL3dBm4rlHi8Wkbi3l4Uu8HkxLdEZpevLOicSSlKrR7IUhyaouQiJQMoNISMSXVGF+cZx/cTXgtYYmwyT73z0dt/Ic+JqX9CYk3lmiQfFMLe8lCEHJZUkSXpIMC/XGJXJkQwKyDF/YbQF9QIunXaAwqfKaPt5ylSOrqirK9MrzB9klJUQRt50M9t6XwxhKP7XP93tR+mmwoZC3g1UUbH+n2JgYBwP6kxLDT3nllwcZEVuPaRom/Orzt3LMvDjw6Wb9HXlYap1ZIzvndosI9nQYOJOtb+PkkJYdfXrAvudU/nha4f9jGuTUe4/EGiU/1iF2LxL64wK8n9S5Sj1ekg8A7K9v/d0013lpWCBkk+6wXbRxLG3VZqDS88NZt8RsCTUH24buiwMSmxvl1jZGMgiHoYQoBfO2ggVRw9+fSHuFMot4OoDUscHEPbXRXfM2r5QM4ptMFfcX1zavjakLfI1JBCQXg+iYD1zVtU6VHMwovzSvM5TRijtfhQGI3cWQnUiYZ4Bb2tlaSjn540YIUvPG7PazNGh1fzP/zHULDGkMKd3cYNT3IsKOM+OOLNh4YtXFNo8atLduQsY6IxFcHBX5y0cKZVY2TLVw8hCCRqSUs8LNRG3e2EykwsanxR/tokvHTEWLOQyZ1Xr46aOJnIxYWchyMrRU1GgK1w7GwT8DWwI3NBk40bj+0vxizamzjFvIa6QB3BM/NKmQtjQ93GXh61q4Z5m2UOFSczHJ3M7yxW29ca40LG2ytSAh0RNgOqpfMtdbwS5oiz2xZuKlZ7hLNArjwDSQEzq8p3FDlgpQta7y5pPD2ikJ7ROCuTgPPzdg4mLw0hvz6Jol7z1q7FnGAg73pLO36FvIabWGSbj7XX/8xNaXAQFzg/Lqq0fDxioaAwEpRY6us8PoSB5374uQsuPj3iU2aRNcT++qOEolzg8eOQGsKef12xkamTI2VwaTAFwdMpAIsMjZKFhbyQMqjhZf0s6WWcXasO6M1LPDCXP0CyiVP1YtGJ6HXS/hXQlxN6HtEws+WghtCEH7WGjZwSys1MN5ZURjeUHhymnjqg0lul0MOzGuzvFvkK2QK3Npq4KZmiZ+P2nh9SWHaGZ7tRLm4Dksf6pSYygLfP88h5c0O7RwgGaloA18/ZODJaYXvXbDwiZ5tN/iQSWTKt4dsfO+8VSM7uz8hkdovKrjo5TyHmx/vJjHpexdoTl1WZLZ++YCJ5+cUvjVkYV9MIOrb/YBNZTVuaa3dck9s6ooWjNaEauYt4KExG7e0GjjWwBbUryZsGohY7GW/s8I++Ue6DGgAv1tSlQGsm8hfmifY//Y2AwNxgXdXNcYzCtfsEIuyFc0fXlukEUbSD9zZIXEwWT8RDiYlXllQuL6JaI83lxRGNzUOp7YJOlprvDRP8+x6Eq/Vn/2JBokX52wcTknM5rbbfLYiDPVIWuJzSaKo7j3r3euvjsMpiRfm67sOuWFKokK+eY6eqn9+cLdiZVuEhKUTDd7v0RMTeGJa1wzBN0sap1YpYmYraut/xUMNE3AGp1sagx6kLZdxOrO1e7EDqI2+l+RBcwh43cOesPLzQWCpjmDelRJXE/oekfRTFrResIoR+Gy/iZKtMbrJRPXMjIWumMCRlIREfbcUn+QCEPNpdEVJ+Y+YCre2yhr6dyogkCkJ3NwqcTQt8fSsjW+dsyp+pIbDhCvaNHs4tarx44sWbmiSONlCT9OEn6icj3cbeHyaUqMfaCcKpjEo8JUDJh4et5G1gLWCQioocXengaYV9rr9BmUKkgEKkZ1olHhw1MJmmRjy4w0SyYBA3tIo2EC6Cpq2XiISwRBUIHxzycZakVvwT/TUsk7Lihrfby8TEfP1Q2ZNuyPmI6lltUimpU9ycdyf2L5e/THg6RkNW1PYLG8RefTmskI6QC3zvpjA60sKIxsaB/dAnbSHCT381jkLGtRY+XBXLeJFCLalhjcUWj00xd3QmkbTywWqQi4XbHRG6YR1t9NH3mkSPhAXOL2qPH1S3eiLC/xmWmMup+ra19En1YYhyMCtt3tpDwu8u2Kj2qGoOqI+gYjzGdiafffxTQ5oP9ljoDEI/MNpu647UHeURtf13t9Fwhyuk/BbHAKSl1Rzys8+faaoICSRLhqoSOom/RzM1/vdV0L8QSd0rVmxpfxMmjthacmA2NPpJOHfhjb6DW4vB5N03Lmwzv5kSQG/nqQTfbsHrTvh52DreIPE0bTAuTWNJ6dthExR0RNJVbHcYn4ORCezCk9M2XhrWeBDXUZFUa81LHG8gbozj03aOL9u4WPdJlrChK1JAXz1oIlfT9r4wQULn+kzK+f++X0G/vGUhR8M2/hUL9EnxxskGoLAvwzbeHaWglU+ZxEYTEnknT769y5YCBo8n6ABvLGkYEguApNZws/uO2ehJypwR5uBl+ZtXNu4rQNftNkCKCpC0758YDc93VLbCJjGkMDdHd66JzE/rfZOr7B9MLSucSBBVclq8+sDSYmXFqxdkEutWTG/vUKcfMhkZfqhzvoIif64wHOzCre37X6t4EAA31pSEAK4rlEi6aekwl0deyeXaxolHp2066pDApyNXNco8eaSwsd7ahO10tzpvL5En9SXFmxE9qj2m0ICqwXuZnaKybnvF/NRHsIQqCB5qttV7WEOcHfCVgHizTOl+lV2R0Tg7Fptws9blNRddyR1n5+jKciWReRP0YEmugn8O+dthwjH3YKtKatrK/79N++UHdlptmE+3XflpMEr50z+b4SlqfmxVtQOaYKJvTFEREDK0X+oN6SJmA7OdYfoT8AQONZAVumPh8vwSeARpzo6lpY4lt62HEv4txcNKQSOpGmAcXZN4zdTNmI+hY6wwNqO4Wt3lL3xN5YIc2wMAPNbCscdjfGEX+CP97Fa/8kICUBtYWBqi0iX/9Bn4E3HTu3ONgPHGzjMa4+SIPLIuI0TjWwDdUQk9sVsbJSA7zom1l1RiZINpIJE5tzVIbFcAF5btJEtA2uObVjEFPBLQus+2r1N1X90kkSgnMU2xhvLCr1RoiiqJYQBPtBvLiu8uaQQ9ZGY8h/3e9+6ymnD5C2NJ2Y0bm6R+MtD27K81ZHwCyT9dLXvjdGk+syawrsrCmVFmOFfHCKb9s2l+nrgACvL5YJG0dYIGKIyb3lnhRDI3pjAh7sNdDlKj7myxn3nLJxs2W1CvvN9DQGMZjT2eSRIN443sDd/V1WinMwqPOOYl7g68y8v7PZdrQ6f5E5hpViLZLGVxuk1IoEEuOP86kHT85r0xugX6yX0ZQiynyeyusZ+EHBnG6TwPz5lYbUILOXZJkoGWGAFDe74Dqckwj6qngYNVDTSfzlBMT1Xa3/n+//duxb+7CB1igoW6lrfvVfjDzqh+6SooC60piTpSpFb4qU8cH6d2PR/OmOhM0J8entYoDUsagg7GyVvlTgASAclUgHgkz0GprY48Lr3HNX3rm2UaAnt7rNLIXA0LXA4JXB6lUPBsiLSo22HzdyNzQYOpSR+OW7jnVWNzpjCIWc4J4TA8QaBvpjAY1M2lgsaQYNm1UIIXN9ExukjExbObzDhpvxMwH8+yBbMjy/a+Fi3gWRAojMKJAMSD4/baAoq+JyK3D2W5hBp91FTVKzlAOCX4xa6o9v6LVrTiea5ORvDGxoHkwJfdvrR3xkqI1dmD3WlQNjg2TX6kX5xwETEB/zPM9YuaFy2zLbKOysKCT8r1tcWVUU3vl7sTwCvLXKxmMiSZXl3Zy0Tsj9OktFevWxTkoNwfp2zgdOr3J0dS+9uGwEcHl/bKPHSvI2Pdtd/DIUQuL3NwFMzNnpjuyWYK+9n0sjknWUbbRH21DdLmvOJKhVIKVjF7hUu/K85RMLY6VWNF+ZspIMCH+0y0BwC/ukM70kvSeXeOAuCeq2N7qjA5KbGwQQXvbEMcfszW5Sv9ktW0zc2Uf+9mvC3UdL4/nmr7gDaVaE8VudaNjk7hN64cAavVxbi5Q86oVfHtlYy/UPd+P75Mq5vklCavbuzqworRWKtu6I0wlgt1BpDVIeb8IUg9rk7KlGwOER6dNKu9Pdoslx7c0knIffHgG+ctfHzMRvtYYU72owau66oT+BTvQbuPWvhlQUbby+zPeAiFWJ+9tbfWVF4bErhqWkLd7SzddIUEvizgyZenqfjUn9coKz4nl8YMPC7RUIb2x289ckWA/viXGienrExkyUp5EBSoiFAhcmdEqfZMhAyNWa3KGg2tKagweS/0+0+6edC+vy8hfmcxjUNEv/pkFkDyWsNUzxrIAGMbzKRT2Q1/S6r2iqnHfedrujuSnAhz9fPrHLL/qEuiY/1GAh6sEd9kn6prpPRztgqEz+9UdL4zZTGkTTbYG41Xi9uapa476yFm1u05wDRjf0JgbdX6Dq0k5HqRs7SiPmA5+c14j4Omo+kd0MoTSkcPaD6v685JLCQY2X/3JyNoMH7q7NK76Y1rDBZp63SGqKDkBeSp2CxSDq9yp1L2AR642ztfaSbBLhnZvlc7OQ8ACTzAfWRMC1VxDKvcDVfeq9QpMvVhH6JSAUEbM0e9zFn8l+0CS+bylJp8OEJhZ5Vjf6YQF9cIh2okhDwGKwGzW2pgImsxi/GbHzvPD0or2+Sux7uqF/ClDa+vN/A0Dr1WvrjAre1bluxRXysrD/Ta2BsU+NHFy0cSdFXM2AwsVzTyDbLQh749jmrgtM2HAjjQIKDzrICbm3ViPkFTrZQBfDnoxams0B/nMYV1zRKZEoKmRIT9k8vWsjb3PbG/GT8CUHNjZktjZkxjXQQ6IlyqPiji3aNw8xWmYvcZJb66ne2G/hsnzeNvTfGRPPkDBA2eCwf7xG7YIeDKYlza7qyQK8XaYd3Zo0tlaNpiS8fMPHQuIWGgPBM5m64Q093K58paVzcUBhap0FKf4wV99vLCh/bo+KujpBJWOTwxt5DT5c9+v3zZBC7OOrNksbFjMLQGjH9vXHOSL6030DM7z30jPmAzT00ivj7gHdWNMY2bdzZzgV858LUHxcYzXi3VYTgrnA0Q5JQ0eYcY2hNYcZZYJUGvrjf8BzidkYoN1zvWrhIHK9WlSviVa9N2hTEniJf7/W4mtAvEanAbqZmwNgmIIVMl3YvMbqp8OqiBUMwAexPEMFSTxNGCOGYTit0RgQyZSomdkYFbmyS6Kra9qcDfP1kCxEmv1uku9GRtMQtLRIRHxEAiwXi5geTEs/O2vjmWWqPH3Oqtf44kTftzRK/nrDRG6fbT9BkK+kLAwa+O2TjO1XOSamAwEe6aP/21AyFxG5qpiZ80KRM7z1dNHb+xZiFxqBEa5h49JABLBZsfLrHQIdT4WmtqYNjKUxkqVg5kdU4mBC4vU3i9Mr2LMCNstIYXmfSn3Wo4n+yz5tg5MaRlMT3zltIB4GhNY2VgsZgigtKtWvRwSQdk7r30BbfFweemGLr4WKGQ7p9cYHrm8h69Un2zV9dVJ6Vab1YygPHPar+nZH0s1L/2YiFREBUYI59cRKC3GO4/wJ7z7E6bMi4v75G0UqBpLD5HB2jvjhgIOzzvr774hIPjFr4kPZuafXFBN5aIRz3YkajOyoc3XcuvP86ZmE5T3u7ndEZEXg4t41S2hmu6bQX9DHsFDYbJfbdd0ZjiLvLKzWuJvRLRCrACqpeJAPUeR5MSQympMNWJO39qRkOEkvKlYn17oHG/Wxz3NVB0tHpVYXHpmz4DYGTzdR4cQe0XVFS+29vI5PUtbm7vkmiMQgs5jQGk6zYP9ZDY42nZsiyvKuDcL1nZmm20BXlv781ZOH9bXTcSQUEDAl8ts/Ac3MKp1dt3N0pkQpIFJXCfz5q4vQqzZPXihoRn8Z0lp6XQUMg7CwM1ZZrz87alep5q6wxvsmE/k9nbLSGKQ/sVtiW0nhuTiFXJrpkekvjzCqleFvDAsfTEp/tp7fqWtHbMKFgaZzfYEVYsIHzaxrva5F1r/9gUuKHw1aNLR/AQeCkk5AubigoEP53ZzsX253Jxq1MxzJ6l6yEVxRsXWnfeYWtuRO8sEHDDQj62N7c6g1zBFAxeqhnJJHw78ZiZ8saL8wpXNhQONlMIbRHJmwMreu6kgKNQWrrLOZrTSNcUa/fLSqsl4CDCaKRwjtmCBycKs/hZdDkuS3kNNojHgk9IvDCHrrxLSFKBHi1sZqc67OXAfx7Oa4mdACzWwohk8OXnVv8dAB76ihXo1QAFysLtIQN3NZmYKOocO9ZGy/N23hkglXWoRS1ONyEEPfTfgsg/PG6JgPXNkoMb9Az85lZMjKX8wrVEvYRH7fiNzZJPO9UjlFT45bWbThgW0TiP+4XOL+u8eikXbmhXar4h7tYvT8xrfDWMglMTSEBWwFfGjBwZk3jkQkbSb+LCiCi4niDxFvLNl6eV3h8mgtXU5ColYJlI2dpmILWYHkbeHzaRqakkbc5FIv5gFtaJY6ma1sNhiD2+5EJG8tFoh6Opmn2UU3ZPtEg8fy8qkgB5y3KB5xfZ1XYE2NF2BdTmMvB0yuz8hkHRWXxSAWAkQzt8yayvO4DCYHP9ZsY3bCxVkJdDDfAyvXM2vZx7RUzWSZz97OyFeGSk047b2ZLIx2g4cYf7TMRNDT++bxdY9e3My5l9JDw03QZIMLj9SWFl+eZWP/i0Lb14LG0xIvz9TVihKBz14UNhZawgbzFe/XtZYWuqMBHeww8PU3ji53JHOA1fHFuL6EviamsRntk10toc8wubK2hNFtIm2XHZ9UmjPa1RbKLLU2UTDWYRWmatIQdfRdTAre1yroD5/dSXE3oAJ6bY7WZLXPCHvOTVJQKUK9ltQBkSwpRj75kMkAYVb0bMxGQSAaIZAgYwNA6neEfmdA4lJI4mhKImcD4jm0wHxg+NDNbtFN7YxnwGcQkV6MtkgGBT/aaGM0o/GzUxjcd5cPDKbZZhBAYTDExvbGkMLap8ctxG5/qJZyvPSLxZwcETq1q/HyUJKLZnEJv3MRRB0Z5ekVjMmvj+xcsnGw2MJjkgPdVofC1QR+2ykQHvbygYGmNTIlORwEDCEhukz/cRWVIKQSenLYrfqou7vvCusb5DWqjSKHxR/0mmkO7q1CArYbHpjSenbEwlwfmtpjED6ckPtW73U/PWQIvzlsVOOHOUJpO9EEDeHCMHqV9MRKFPtwlauCOPmng/gv1kxAADCQEfjO1NyLGjYlNhYSfptlTWR5HyhGturaR51H9HvU8bKujJUwiUr1wuROzW9wFhk3hifnvczRiVgq7h/Vu7E+Q66A0yWCDSYmvVLFP9ye5u/Gi2if9gOFAFL0QYt1RgVOrFEbTmhj0xTyPZ6WgoTXw96csWIpzAVc4LOT8WcqxGDOlhCmJ7nFjuWAj7ufrZQebfqUU61cTOoAvDGxDF3MWYYTrRY21osZSnlXAN4dsGGJbP70lRJhaQ5CDwJxFz02vSPip6bIvIXFTs4Gbmtl3P7Oq8PCEDdsR6a/Xe+2ISHywE3hs0sZmWePesxaOpiVuapY1VWtfjJjcD7QbeG1R4dUFjfdXDbVMKRzbNuDNJYVvnbNwQ7PEjU2UETjeQObqg6MWXpzXKNqUhQ37BE40Cry1bGMwJfHuisIT0+whZ0rshUd87OMv5DU2Suyru1G0uUi6iUFrkrneXlFYzGuMbWqEDSJlPt1rojGo8Y0zNokhO560lYLG8AbNHHIWcGaNraTP9u0WrgII5+uOcYfi9qozJf7OsQxZjnE/q77lgsb/ctSAUceAIhVgJT+z5e1dCXCH1RcXuLBOPfO8xaHpUp6LXKZMw4ZMmYYTUR8waLAX/5ne3eS26jAEnGqz/oLSFqZeS70FzCc1VovAg6M27uowcCjljcQhJ4Ltv/e37x7Y2ooL0EqR97KXjMC+uMSDYxY+2LG7z872lMTY5m6EWMFmZT2+qfHDYQsLeY2AJPqmISjQE5Mo2DY6IwLva9lN9sqUNP75PNuQXuc2n6PRxeVIDr/X4mpCrwohSGuO+AiNc2OlaOGONoF0UGI5TynY8U2Flxd0pWp6aob6GJ2R3VvMuJ8PcHWkAkSW3NoqMZrR+NcxG98dstgnbpA4kKhFeCT8AlsW8LFuE7e1avxuUeE7QxYOJOh5mnJEslodNuiXDxgY3tB4etbGKwtknbrY6kMpbqe/fMDAC3MK9521cGsb2ygBQ+DmFgPPzhFnfN85CycaWDFGfALpgMD79hvIlNjeGFrX+MfTFA5rDQlYWmM5rzGyQU9V29EvH1oH1oo2Vgsac3kNw+kHX9NAl57ahUzgRCMx6NSwIVV+JEN0ykBC4tZWiaYg8K0hG51R72TuxsGkwKsLNpbyGmObCltl9nD74xIf7BQVSOT0VhnzeaDDY5vvxoEEW2GdHmJq2TLRJgLAM7M2Xpy3UbCZiJodz822iETcx7lJtkwj8JMt3hreOyNkElpbT74WYMuwNUw9lGp6vNJk4r44rxAwgI90yz3bUAAc60MLd7TVJsYRZz6U9AscSvLcvPrVzSG2OlYK3p6zfXGBd5YVbmji4nAxozGe2Z4r+CV78J/u3U0MU5poKG/jGP6dLXsPh5uCAmN7iHi9l+NqQr+MSAWA9RLp9DGfqNlCFiyNB0ct2I4Gya8mNCI+ihD1xJhE435R185OCIH+OMkef3XYwFgGrICn2JK5plGiOUTd9IJN9mXcT/LLLa0Srzua530xJuKWMCUADiQlDiTZZjmzqvG4s712dWLifu4qPt3HwekzswqvLli4pdVAT5Qoga8cNHCyReJ1B4vuk1Sa7IvznG5sNjCS0biuQSDkIxllZgtYLQJvLDP5moIJfb1IXZKemMRHQwIxv8CPL1qI+Go15rVmBWkKXoezjnzsvgQlD1p2tGAOJZmobm/brraUpmnC+CYr8W1ECPCxbgOtYW+J28GkxNCa3juhJyUeGrdwY5PAQh6YyzGJz+ccg5SwQFOQlfRn+2vRNDsj7he4pkHjsUnq0l/OkK4nKjGx6S1f60a34xzUH6fG/+gmfUZDjjn4aEbhwoY35LA6eK2B+byrca/xxJSNpYLG3R3c+U1mKXt8c+vu4xFCYMCBezbuOF5bayjFz+gfTlmI+rhQ39VJiQxTCjw6Sf0cL5Zve0TgtTpCXEJwBz2fJ/R2ZzSF6v/sez2uJvTLiHRAVPw2d0bQFOiIsk93a6sBpckyncwqnF1V+M0UB3s+yQetK7obWy0co4uiLXA4LXA4LbFRIqv0gRHLefAlwgYdjlxCRcgk2uWmZup4/Oii5RhlALc5LD0pKENwJC0wtKbx5IwNv2SlPbKh0BWVaItIfHG/xGSW/f2X5km22SopJPwU6bqjnUbVY5sa/3jaQr9T4UZMYNMCDqQkuqLA0bTG+XULn+/fpvnnLI17z1i4sVnWJNJDKYnTqzShmNlSmN2ieJUEtVO6opRh+FBn/dv0+iaJHw1bGIizKp1wBopRHwdvNzUTkfL0jELIQI3Rxc44mJT42aiFu3a0CAqWxnxeY26Li8N6EbjvHF2Q2hxEzwc7a1EnBdvCXE7XmE97xS2thFaeXSMh6VLRE6Pl3Y3N9b+nKQg8NcNZyVqRkMHb2gwccATMQqbEt89Z+FBnfTcugOdyKClxdlVhIQc8O2fj2gaJT/VuC6p1RVkJ1zPt2J8QeH5O4eZW/n9uS+FdB7WUDtAP945WiSMNuxeErqjEhXWFGzzOtTHI31tvVtEaFljIaez3WLQag0SM1dOreS/H1YR+GZEOCJxZ2wO66N92gpFVKJcbm1ktvr2s8MqCwgvzCkt5Eiv2xVm9uD3wqGMo7W5dE34m61tbJS5uUOhrywKembFxe5tR8/AEDLZdbmiWeGmev+uBEQu3ODos7nEddgac59eJN764ATSFFAZTRNx0RyW+tJ8V4M9HbXxzyMZ1TWRrxv2E5CX8rPKHN2jddzGjnX+TKp70CwRN4MK6RmuYi4ulgKBBXZOAZKW3XGBveTEPrBWJve+OStzaKqq0s+npeVtr7UPrQkOnsgpTWxoFBTwwahNBlOQwc2cL42ha4NEpiqTVq4SbgiSrv7uqULLZa53L0VSjJcRWxsGkhF9ymHl7e/3H50ha4ukZGzftQRgC2CL5aLeBB8fsGmPvetEd5TB4p6AYwAT1+pLCywuUHfhQp8S+xG54ZczHhejC+qUXkaaQwCMTCs0hG18cMHcZnkvBa3JuXeFWjyq9O8rZxGuLNs6ucVh8okFW5HVfmLOxUACO1DnXp2a8IYZS8Bxmt7w1blpCAqfrPLNmHb2aKyGuJnQnZrYUBIjxDppMQO4Dkw7uJhdVRyIAnF7zfs0l87yyoPDlAybyFreZFzcUnp+zEPeThOSTGpsehA9ZhXa5/0IZGsD9wxZaQ9uEEvc4fZK98lcXiHl/aNxGOkA9E1dn3UW87IsDf/uujbeWFZ6dJUP1RKNE0GBb5EiaJhAFC/jOELXS0wGBzbJCxGfgmkYyNM+v2XhjmUSgpbzG9JaC0pwpCGeIRxNf4JUFhbYwk21HROKaRuCtZRupgPRMBgk/z/3VRRv9MVnR+5jZoupiV5RolP64xtvLek9NlI6IgKVqNcttRWu0uRzNSua2yPx9bpa+n90xiZMtgpjrqo25RDwAACAASURBVIQS9wNPTNu4vb3ur0N3lDOP5YKuGH7Xi5aQQO4yECwA2w8xk33sgEGy2UZJI1Mi3DEdIGrlxXl6shrCe5E4lpY4tarqLiLZssZzczYubmjE/MC1DXJXMnfjUIpm4Ts/w4JNUTNbA6dWyP7ti9e2u/rjjpyuh+pk3NEVqteDb4+QYLTPowpvCQFPTnOHUnAknYu2o7qoeU++umCjLSIqIggHk5c3y/h9jqsJ3YlTK6wY81UffsgkCiFsCqwUgBccj8qEA2uMOqJBqUvI7MZ8QNZRdguZrJIPpSSUQxwZ3tCYywGLeYX5PDCYZDW4SxbWx6r+Ez2U2X1xnmiT65s40Awa29rovXGJa5skTq9q/HrSRtSn8L4WWUG8+AyJlrDC+9slfFLgtUUb3zhD9Mz1TWR6Tm5qfLLXwJ3tEufXNV5foh3eAyMWeh2f1URAYKvMh8HVFX99iQPI6gQ7sqHwyuK2BZ0bPinw0xEL72smDthSGiuF7ep4dotepOMZG11RnudHu2srcKU1Xpq3MLul6rZUNIDeKHVC0g7TcilPhx23dXJtg4TSVOy7p7N+Jd8R4TmvFb0d7AEuAG674g4PlEjt9/L4vKpuN9aLHOiOZTTWSsAjkwpNQc5CEn7eL8fSsqK3cihFcbJ6OPL9SVb6BUvXIGvKigP33y0Sm/6Xhwws5nkPHWmQnszNzohAySassDkkULR1RfCsPy7w/jaJ8U3tqc3S6vjPbpa8+92u5d3OHjzA6vp3i2zdrDmotI0SF6Nsmcn7R8MWQiYLtYDBRG4KXvPlwjYSSAPovwLmpFcTuhMf6a69YZQDYcyWXfSCja0yjRXWi8B6iYSFVIAVfLYMnFujfdpOBp8hBcLGthm0G1IQUtcdowFypsQb7eEJG7bmkO5wSlYGgUFToGBrmFJW5Hlnt6h1/dI8dT5uaJLwST6YhpA40SBwzNFZf27OxjOzwMlmYtTTAToyHWvgwHGjpPGWM2RtcBYppSkNfKyBsqc/HGbSH99UeHvFQqZELO+jkxbSAaIdQgatzKoTVHdM4OEJEpoCBgeymRKvpSGA+4ftyvA0EaDAU1tE4FiDgTeWbDQEvat49zpe20hbv/aIhKW4CCzkORydz2ksFVjVb5WB/hgX1JbQbnSM1jQH38mA3Pn79ifY3z1ZRywLYNvlF2MWbm/bW/FRCOF8ZoBfcn5BCWKaN49tEpvfF+NOrSGooLTAB/bQUu+LCfxqgpW7l4emz1GHnN7aFtga31R4bNJGsyPY5i5WNEdXOL1CKKbX8R9KSZxdtTEXIMmtJ7b9HkVb44U6XADpyF+MbWpPCYTuqMRYRuF4Axf4mS1+nosODNTWZGWnA9xZJvwsfKI+4GejbLHt9OIFKJv99orCPV1XFnTxakKvE1Lwpoj6AECgJaSwP1l7cxQsJviVAjCasfHmksZ6yULJZu+x1an82sJkRmb20PiI+SU2SsT83tEmsVQAhtYUfjFG39HDKQmlNEp27c+3RyQ+FZHYLFEz/P5hIm6msxqtIfYeXZ31wynqVL+6qPDcnEbEBNrC2zuLhJ+yt7e2SZxxBrr/cMrCAce4oy1MC7DBpMChlFm5Bt84YyHhZ6U1vUUtk/US8H+8bcFvcCAMx2Dgn85YkADCpmNE4WfFO5XV+Hy/gYbg7qFx0BC4f9iq4OWrI2fx4bYVXePnc2WsF7nQNjufwaEU2wUBQ+C7Q2U0h0XdYaVwesLn18mArBcHkxz2nWzh/1355c0ysGWxQtwqkxn7wAgx9dz5aRQdmzZXaVM6ralvnbOQt/i1iANt7IkKfHoHuufUCjCR3bucNCXldIfWVd0+fneMKJWOCJEqE5sa93QZnnDG29som3w07S2f0BwS+NWkQluYiJ1qmeeAwQH3SEbjcGr3z/bHJUYztfo9tkP4ms/RZORixkJDkBZ1hK0KpIPAfWdJovMiP7mD0X4PYlOzIxF8pcXVhH6ZkQ4S6VJ9cwRNgXZToD0CnF2j9+VAQlbIJPM5yqo+O8cH/PEpG4MpTW31cG11GDW3mYDC0RZvDhm4vU1iLqdxZo3uSj5JzejDqVq2aMxPPPctrRL3nrHwlmO5dm2jxPG0RNBkq6UvTkXI+ZzGQ+MWnp4lGuJwSmIgwaTnk1RmfGtZ4ZZWifUi8PwcZYMVuM3ti1M7JmgKpIKEdHZUPcQPjVnojjKZlpwENrZJvfI/3V9rjKC1xneGLOQsoMUjWTQEBTrCVFhsCpELsFTgYLXsLJ7NIYGWELf/dxw06qI3DqekYzixF9qFfd3qVonSHI5ulDQ2imyBLOQ17r9gYcsiWciU26zFiGO+0BYW0IDTEmNyCxjc4tuaeGqlgaemLfTH2e7aC1MPMNlfDmv0SEriyRkyi71aOV0R4FcTCmdWFQZTEl8/tNso243OqEQ6qHB2rVZC2FYaLy6Q8h82gQ+0y5pk7sYBZ0dz2EO2oC8m8NsZjbylMLYJnF8n4Svp52sBA/jCgIEWD2XGdmcw6pXQW0L1dZgSfkeW4jIYve+luJrQLzOo6VL/9WpVxpDpqihuv/74lFXpzT87q7BU0GhyEmF3lDdttry7YhCCwlftESDp1xjfJFPxuTkmzGNp9sXdqsknSSz6o34DWxbw5rLCi/MWBpMC1zYaFcJUa1hgIC4RNDQSAYmzawqPT1GC9UCCw9aEX0BrgZMtEidbeHzfPmdhakvjzWUm4MagwFaZWPCs4/Qe8xNeN7GpcW2TgGvwfjgl8dsZhewOzXQhBK5tknh5wYYhgY0iiVjrjpPUalGjZANqU+NQUqEpxO11Y7AWKji+KfDUtI279ng+B1MS/zxk4Z6u3Up+JZs7i2yJ2/mHxviZrTv/DxlAIsBdRcLPBaQ5BFzfZCLmg2cidhfOas9Tr7im0cDZNYWbWy+dXCImr/mloidGwbTTq7vbGQs5iqBlysAneozLQticbJb47QyrdCFoQPLQuIWYT+BrgybeWVE4uwZP0tVAQuC3sxqW0jU7MNuRfVCaYm1dEe6Q7uncll3IlC3M12mBuYPRYx6m1i1hgefn6mPVXW307jqs3/diXE3olxnpgMDIHsL5rqZLvWhyFOBcD8myQ52e2ORwc8FpG7w0b6M/LncRaAAgZEoEDIVP9ZoVjenXFhUem9I4kuLAsCkkUFTblXNnVGKrTNjjg2MWQgaFrQ6nJaRw3ZFoPp23qOx3bp3tFlMAAgpBk5VQ1Mch3C2tEm1hfv+yI7m6WaLK3nqRlWxZsfJcGSojaLBHLMD2y4+HSSiyFFsQWYvfrzXw1LSNhiAXk46IxLE0d0cRk76mB5ISB5PeyacnKlBS20SYnaE1zyli0tjaJ7kIr5c44CzZjtWZnwtFWRHnngrwvHdW/S3rAm8uqbpaJwDRFpaqj9Rw49+iARN1huyXCiEEPtBB/sChFHdeGyWNF+eJXrm9TWJfnLvIy0novTEe19imRknRIvH9bQZONDDBH05J/OCChbs7dw9PIz7uomhNx/nMm8vcHaQCbKW0hIA7O3anpK6owFRW4YSHMmN7ROD0qrc7UjpA3kY9GYSmEC3uuj0WoPdqXE3oVTGyoZAps3IzBMWD/M4fAWA5r3dZn7mRCnAQWC9oBr1dLfgkq3NX5rRoKfyPU4SaPTzOyrDPIe/si3MgGjBY4QPcup9oEDjRILFaoE74T0YsxHz8Hq23XWkiPoFbWg28r0ViYpPmx8/OWYiabFG4BIuQuf2eZaXx44sWbA28MMcFpyVExcWJjEY6wMTTFRXoipI8VW1YUbIVvnHWxm2tBvzGdsJezNO385ZWDm/9krOKoEGRNOKnvXu+NzSRGVsvoQshcDgp8NqCwpE0K+sNZ4C97iAgDMFFZWhd40iKlf6JAJCqQi0BtEV7bk7tSY/vj4tLWtMJZ4B6MeON1HAjYHBhfW5O4cOXGNSFnaf2cnTXOyIS7RGFF+dslJTA2TWFaxz0StCke9G9Z+gO1eqxCO48lxuaJB6btAEB/PG+WoOKVIA8hPE6/qcHEgJvLtk4taowsalxvEHiS/tNNAQFxjMKz897Pz9dUYmXF7xXsOYQEWg7K3+AxUpTkMzprij16kuKc6CizXvh4oZGyFSwFHcLHZH68Mz3QlxN6FWxWQYWcoCtiZ21FPHTJRsoKlaS/+NdDilDJuGMUR+n6hLcXk9uKiQdlcbqvqWrclcvAqZEzEciyj1dogJTO7vGark1LNAQgOdWOx1k//z2Ng7zHh6nZG9fnJVXf5xwRlnVQ98qa/zkooWJrMbfnyYMcSBOIgplRQX8kuiRfQkm+Jmsxm+m+UC+uKCQ9POByluAz2C1E/czOfkNiZ4o9cgPVCXggQQrs6R/t/7HNY0S3x2y8P427z5yTwx4fErj1IqCIQl1yziQtw2nLVJydgYFm59D0g90RKXz+zhg3Shp/PMQ9Wu8YHgAB4Zr47ounA64tDWdG/1xgdcWFd7XUvdbAAB3tEl885yF4w3C08nHDSEE+mNk+tYTmCraRIRMZbmYnV8HbmoW+ItD5g4FSYGbW4lM+aN9e6eDvKVxdo3PwZfruA0dSXPR2AlRnM5S92d2C7irQ+Bj3bX9+s4oh5Q7YZQA0OCoInohdnySAnkLeY2OCBE1ywW26taKGnlb41cTNoSguqfWcGCM/PnNMhAwlANnFGgI7G3P9/seVxN6VVxKw/pb58r4RLeBVJBJzEUzbJY1MkXCHJ+ds7FRpAY4JTqpEJfyszectxRCpvfvifrIokw68L9rAwaubWR7ZnyTiWwxD3z7XJlaLQlZIy8rhUBrWCLuV/jqQRPn1hVeXVB4dFJjMClxNM0hHUXIBCwNfLbfRMQELma49X5imt6U7RG2iCyFyq6kN060z4GkxMGEwJIDDTy9amNpC/jFmIUNB3oZ9TGxzuVsytOalNH1Gey7PzNjVx56Df6OsmKf+sExG1EfK6mCTSTLVpnvZwgKX3VFqauT8ANdEVnBY4dNQiBvaJKeuGeA35cMEGffF/d+eA1BNu/wHkkTcIZ9G95GDW50RwUeHt+tgKg0nYG05jUQgu2sxyZtfGk/dy9efXelNXpjAqdWlKOxwnvQvReXC1SlbHV8b+9sl3hgROH2Num5uzzRIPHSvLWnVO5inppFhE3yfmnz0Lw5lJR4bs5CySbcdTFP79mVosatrQbKtl1BHFWHKQU6I2zJDO5AwgjB16azGoermK25ssZsjgXOoxM2SspG3gYaAmQbpwICHWGBLUvjg50moj5nt71DkuLTvZeno/NeiKsJ/d8Q6YDAWglojbD9sbPCHFov45M9pDSXFbf4q45+80xOA4KDn5BhbyMzHFgjFfhYMewMnwNBawoKzOcsfLjLwIUNjX8do3jRYFJWyEglmzdt0OQQ9NrGbaneX06wX3M4RTXHTAloCDJ5ua0WV4tmIqvo9j5v45cT7C23hrlzWC1o6AR/X2uY7anRDHv7Wjs4aosuTadXFZpDTMwFm+dnCGA8q2FIbrGF4Dn6JCpKgUdSRoWxGzGJGnGtxb5/wcIne4y6OhyHU95VYnUcSAgMb3hrdbuxPyHxzgrJOVpzwcnb9Ekt2iSglRRlD56bowxy0fla0WZVWXYWRA79LAjA2d7zdxhiW4vbPZuyAv7uFHXGTbFNhrH09mzCdHDrv560EfdzcYv52Z440YAa4wwACJncLXk5ypmS7Z5TKwp3emDbh9YUfjNt44MdHJ7O53jv3da6G18f9jH5nllTWC4A59YUbm2V+HwDPy8aans7KvXG3YS++7Wu6LZC4kSWBtW5Mu+XqClQUhqf7TaRDNTujGe2FJ6Y8p5zhE0qgm6W+exdCXHJhC6E6ALwfQAtYCFxn9b674QQaQA/AdALYBzAH2ut6xDgr4xIB8We7kUu0iUZYMuiMYga2vdGycItLQLJgMSiI8N7ylFWVGDCyls2ggYqlm7V4TfYUuiMSnRGCRFbzBPm9fAEE0BXlJV3tf5FtVTvfE7j9JrGjy4yub88zz6xO4R1tWjyNgdVf3rArBB15nMa01kb764ovLrIh6TRgbCsFpjokwEuJkETkJB4a3l3hWtr4tvf327s2kIrrfE/z1BGuMmjl5kMEMZ4MaNxMOmd0A86VaJXXxXgtemJCfxs1MaRFB3qcxZbCq7rjbsDm90C/v5UGUW2jSvb9YAhnL/Z017Ja7RFuGMIGO58gDsSn2R7ZGJT4dN9JgwnSddjhY5sKDw7Z+PPDxiwweGxK6Hgk+4iQHOJiA81SpP1ImRyIapGF1XHsbTEj0cs3NG+DXFcL1LMbbWga/rlLSEex7Rj+LwzUgHgyWmFY2mJ/3TIRLiqhXIgIfHTEW+N9L6YxBtLFrTjU6o1RdEubtDce63IVlpPTOCGJgONQV6HhZzGwxOWpziY69BVj4Xb5ODRvchX78W4nArdAvC/a63fFELEALwhhHgCwJ8DeEpr/d+FEP8VwH8F8F/+/Q71//9IX2LwmQow4ffVe91PJExfnHIBLlVea26Xn5+3sZCj6898jjjczqisqDSGTVaA7s1ZbXd3exuT+6uLNjZLrAYHEtKRrGW15jqmt0WIQX5tkQzEh8YtlBWwL046f1eU29sOx8+RGtushkYzCofTEv0x4TjIAKOb9I/86YhVqXZcB5lMCXhlwUasCpsdMoGeKNESJ3b0nqUQOJIiscmrWgSIrz67aqM3JrZnHDarYu4E6ED08DgXx7zttm/YFitYqDAzH51ihRsyWLGFTEITQya/9vwsRbOONni3KwDgzSUbM1sa79uDNZr0S7yyyNnMpVAs/XGBp2eBiSzvlTo+zbixWeJfhi28r6X+sbkRNNh6aKrTH24Mscofy2j0xnhvvLaocGOzxGeq1BUBJtFjae5eqglaeYsyzfOO3v2trbImmQPcEZrSG4nUGAQsmxaA01nOj0xJWd17ugz8bMTGJ3p2Y+UbQ7zPvNAsfoM7l5U6zkiuB6uXHsx7MS6Z0LXWcwDmnH9vCiHOAegA8GkAdzrf9j0Az+CKT+jAW8t7vB68HKz67q8LwZvuQEIiW1L44wETtmYFP5UlKuSxKY2oyf70qRWFgylZU8G7yb01zMr++iaJixtU3nt4nPjygTjJQyFTwNJcVO7uNHA3DKwWaCBxfl3hyRmXsAM8PeOiF8hcLFh0j/EblALojPIhzZYpPlZWHE66ehoXN2xsFEnBz1ZVwTkLuLBh45lZu1LNSsEq2NaUNx3fpDGzdgSVLAWUNVB2RJZGT1vOsfB4ggacPzzeTEljXyNbNyGDiTTk/NuQAk/P2DAE9tRaWUlrTG8RT18v9js7gr3kWP2GwIEEpW/3kgtwP8ubmg286hC46oXLnDy1snefHwAOJAVenFcVkxOvOJYWeGXBxm9n2E78iocLUeV7GyTuPWtVED6jGYVfT9o4lJT4Wo+BJ6dtnF3bfa4u6md4XaOtCldesNkWtEA/2WsaJD6/z0RTcLvn3RahxPLOuYfhoFkW8t6Y8iYHb+6142sMCkxvXQEiLk78m3roQoheANcCeBVAi5PsAWAebMm85+PNJRujGfY8bQ24H7UAe5fzOY2fjliV3qYhXFQH0RZzWxrn15k4wobzt8mbMh2kT2K9SPoF1hwkjCFc2QDgJkeGdzHPKvjdVY2nZiw0h4ha6Y/TqUgIaspEfHzYG4IGTrZweFQ99GxxevZ5a7t9lA4KpIOO5K9S+LtTNk40SOQt9iHPrjnaKyVgfdJGR0ShJUxyhq00bMX3clEHbs/ypXkb1zUZux6mlbzCjy7a+NqgiZLTa7Y1oKGhFE18b2gy0Og4MEkHbuhzrvuDoxauaTQwWMcweb0o8f0LFo41eJtZAMR+PzFt75nQBxISz89ZewpnxRwnp8ls/SErQLPrp2bsSyZ0gHOAp2a2zbzrxc0txJkf22MHARDyeX7dxpvLCtd7JH9LsYCY3gLe3y5xsnlv/ZmwKTAQF3hnxUbe4szikz0GehwG7tG0xG+mbNzk8T77E1RnvKOdhcRriwrn1qkQek2DxHrRe3fWEaH2jNfco8Wh+Xthyt22Cnb05suKiqKzW3TfyjsFR3NI7Dl/+X2Oy07oQogogJ8D+N+01pkd1G0thPBsLgsh/hLAXwJAd3f3/7Oj/f8g2iMSUZ+uaGxUPyMa9GI8nBQwDQHb6W0WFUkpAsBGGTi9un1zbFnse0ec3ut6CXhy2kbCQWUk/JzI+w3C6ig4tJvFSAQLK4pbWiQ6nLbIaIaGzyWnZRI0BGa3FKqJFmEf/UKPO/jyiU3Kmo5nge8MlXEgQbKO25Ms2CyVTzTsfhj/9p0yPtljYKNMtuHEJn1Btyyib9JBURHpcs02tsq7fSPTQQEFVty1VSD/fTitsVbSOFoHPXIwRYhmvYSeDJCMNLuH/2dHhIPhegJWAHclMf/e7wOwAj6/vveQtTtKdNRS3rtarA5TUsdlfFPj6B6a5e0Rqma+ubR35S+FwMe7DfxgmBIDqQB71FvO8fx2xkY6KPCJHolnZxWOpyXCdfrtbuxPCPxyQqEnBnz1oFljvdgZESjvkCvePmYic35y0cJ8XuO6Rom/OGQi6qP37nfPK08N9I4IiVxe0RLyrrQLloYQwMV1yjq7qoyZMrWFIj4+c6dXlbN7E+9pw+jLSuhCCB+YzP9Fa/2g8+UFIUSb1npOCNEGYNHrZ7XW9wG4DwBuuOGG33s1HBe5US+aQgrxAHvNO8PWGmfWCIOq7jlaig/ORlHjxxdtRMztlsKGozgYNNmjNwR1U3qiHApGzFrGaMzHqbxPuphyVFomwxsUMprNEUI4mCIpqbpy80na0jUGBe6/YOFDnQbOr2s8MEJ8fW+Mid0ndjNVCzaHt51RgS4hcDTNry/mNR4as/DxHhOrDgpmOqtwukRX95+MKPglH5iIT1Q8NcMm8Maiwv4kse9hZ9GjLZ/As7MKt7d5fw4DcYlnZ/eunAcSEiMZb/9PgEmuL8a+sasiqB0ooauzYmkmp1Or1B/n13VFg8VtCYUM4OU1hX1xAEJAV93pwmklCRB98vKCjesaJUwH2ePu9AAWDXBgjK1h4PwaZwVugeEKelV/Nu9vN/DDYXq/Bk0BpbfbWjlLOzMEfq0xAPzggoW4j/eglLzvbmg2cNyh9C8XgIfGbfzJgFH32l5YV3h8WiFoADc27fbRFQ4D+fSqQmuVyNlyQeO5WbuiSf7Xh80azkHcz9aZl9ple1jgkZy34UVLGPjdosbIhsKsI728lOdcxWVxBx0NJLfYcO+1fzxVxgc7d/ravjfjclAuAsC3AZzTWv9N1UsPA/gKgP/u/P3Qv8sR/p5FOgCsFuC5tTMEe7erO5xQXIcU4p9t7E9INFZVaFqzYlgrEFWw6OiALxU0tOaW0XXM8UlgtagA1C4o6aDAyaCBm5o1/vZdC+0RgbeWiEHfFyfjtCPC4xOCcK2iYrLqikrc3UGFx4lN+k1mLeLuOyMSLWEOM/OWrvx87Xm7CWj3YviLMRpZ98cl5YgdIatMiTT84YzCTE4gZ3Fg6cIu/QYFqL47VIbfEJVWi9tnd9eon43YlUrSTaJuot0qs001n9uRpB0YoaU5ZL6wYeOpGbvyPRJkCbvJE+CwdXrLchIrE6x7HO7fGjTxCJqOaYJ7KZwErTXfZyGvsV60YTlzAUvxWNxvdxcADcr9zg5ZlWN3j9EUPEb3utgauPcsYaxFmwVC2Kk4w+Y2EW5fQiKzrNAbl/iTZuk5oL29TeInF208N0dTiuqwlMYzswoXNhQ+129gIafx9or3zuRISuL+YVr6FWzg2VkbFzY03tcscSgp8PaK9iaQRSUmsrvVLiM+woXXipxX5coa447l4MSmwmoReHVRoSNCCG6LY8ytAfzNO1Zd4bOGIHVp/iASOoBbAXwZwCkhxNvO1/4bmMh/KoT4OoAJAH/873OIv1+RDuwNXXRVGevRhxucqXp1QhdiO+EPZJnobnOgaExKVPYb2XDwtxYwlaWLUFuE5AmXzSiEqAzLbmo2sFVmf/DihsIzs1wgXPee7qijwW3UKjwOJsmk/ESPicksETdZxzZus0wYX2OQVX4q4BpBe9OvfRIoa1GBMqarUBbpoMC7K6qGoai0dpi5FMc6kJRoC4vKQFQ7iU2DJC0pqJldnQylcJc7jUcmFY6lWUG6CdoQopKwi7bGD4dt/PURKjTurH7dY/qHUxb+ZJ+5J7zNrTz30inXWuNb5yzc3WnUqFPWiwdGLBxI0E2q+j3cxaDsLAhLeWqrfP2QgbBZf24AEB74kxELNzV5/34pBD7da+A75y3si29LDc9tKTw6ZSPhF/jaQRNBU6AxSKG4zbJGbEeVng6ygHhq2sa5dZqe/5UjOVCyNR6dshxEUu3PdUUFzq8r3LTDS1RrjbQfeHqWrM/VImGT3VGBEw0mfjlu4e4OGqVXhwChlKvF3e0fYDuhe8nsvtficlAuL6A+F/bu/3cP5/c/LjXYdGFQ9cKduA/Web05KHC+SvIz4hPo84lKBeQy9m5tlZjNEcf+m0kNn2QrpDMiAK1RdAaeEZ/AdU1GhRyTKQMzWY3n52xoAH9/ykLKce1pCbP/HTRRcbCv3i6/PG8jb2nc2GJgKb9NsV4qkMn5t+9aiJiobGnjflqkzecUuqNstVSjQBo8cP1SOBaAYMtkq4zKoG1nRE3g+flaHe2dcWZNQ0PsIZfLXdNKAXV75K5kwmhG4xoPgwc3DiQlHhq3cGd7/YGiEDQBP7Oq0eHBtNwZNzRR4fB4wzY6RQjuWHwScDeC6aDAa0sKczn2tveKljChob+dtfGJHu8UEPYJfKjTwKOTNv50P/DSArHgH+gwcCS1fSwBgxLJby+rXXj4dYc9fXZN4wsDZk2i9Ru8V8cyGodSuxP6k46XKMA+/Lk1haF1er3G/RS564zUarM3h/hs7UzoAJ/Lpby3Xk06BJtFhQAAIABJREFUSFjjlRBXmaIeoTVNCAoO9Txv6QoSY7VATZOX5u0aPWs3lgoaG0Vu6Ss9T4cQ4pesNGdzCvsTsgKzCxjbVWFrWODZOpKfALG6WxYHSy6kTWuN1SKJHtNZheUi8OCYQmeUWPLOCCV4A4azE0gLzOfp4HNjk8Rigegcl6S0WuD5PzBiod9p16QCxHwHTIeV6BOViiZT0vjBBQt/fcRExlEuzJQoHpUra6wVgJGMha0yt/5xh7If9dEx6fy6jYSf9P1Q1bXoiLCPXi86osTCuzRzr+iNCYxv7q0m2BeTGNus32sHaMJwfl3tKQ/REuKgbbkO5tmNiiphh7yk63xvjHrqk1mSofaKEw1MrPsvA6Fxe5vEt85ZmMqqumYf3VG25r5x1saBpMDXd5CE3Li+SeJHwxZubuFcQGuNd1c0npmzcX2jxGsLCqnA7vfflyDc8dCOwXbcL2AK4JlZhdEMBdsOpyQ+22ciZym8OK89F/nmEO8Hr/AqHiqvBQSG168M6OLVhO4Rj09T1tPFLwcdWKLfGWAVbGpnG85Qq/qZTPkp8GU4fU3LBizL1SphJTufA3496eijO9KxLrwx4iMC4IkpMt9iPoG4X1SSnet2Pp3dVrRjm4U37YkGiXTAxkaJHo4zWxovOUSldIBEpa4I+6orBZ6DC490Y2ZL4TeTNo6mJUYytLfzSacnawrkyrpmCOaTRPJIQaRONWol5mcP+6PdJpRDoMqUKIuQKWmYUuONJY28RVKS5SAPoj4Se+ZzGs/MUG7XJfsEjG2oaFMQmMoq7EvUceWJSry2uLfWbE9M4KX5+gNYgMqXT0xrTwSSG0LQTWd4YzeqpzpSAe6E9mK7Vr/niQYSrertVNwYTNIoYi/Ujht+gwqcry7WJnRbEeJ6elVhcpO47vWixu1thmcyB1j9toQEzq5pDCaBRyep3fKlARNNIeqVD29oHNmB1umPS7w8b1WGnNrRRn9jSWHLAqayGh/sNNBdhZ0vWBKLee9heGOIcyOvaAgKnFvb/ZrWVApdzPOcXcPt5pDwhHf+vsfVhO4R93TKPSVMxzfLONFoeBoEl2yNd1ZYrXj1MZXm0PJL+81K79B2/EtzFfsyGwWbld5YhpK+mRJ3Agk/F4rn521sWazYG4K1YkdtEdp9faRbYr/DgLMVadRTWedhzXJQWFYW2sLbuiwBg7sIn7OVPpSS0FpjqUCX9LFNjXvPWYj6KIrVFhFoCZLs4yUtHPcJnHew9VJwYYr7BTqd10c3NW5plZWWSMkmImirzMHsQt5Gzmb/fC5HOGjJ0VEv2dytPDCqYAhVoca79HhTCBiSff9/GSYJyd01uZBUQwhocAj9xJQFU27j3t1evBSu3gzwzIyNxqCEqHqfaiu5pB94Z0WhPy63uQqOFks1bf94A7VT6kkBV8f+hMQrC5YnuqM6/IbAkTSr9EsZUwPEuj87SzVGIYC3lxXeXaE++bEGiY/3EAb73JyN52ZtfLK3frq4sVni8Skbry5w5/TlA2blXjicooHKzl1SKsAdwGJeI1PWeHleYcsijLE5xDbIzkUs6KChVouoyE640RgUWK5ThacDbIWOZhSWHNmNlQL78IYgm/jiBhU6L4V0+32OqwndIy6lvJYOcPDpldD9hkDYaSWkg7t/tqLRnNPodrbQhqDnaMzxL53ZotnFTnJFwSKxZzSj8MYStUHeWGK7JWS4ZCK+12Jeo2ApBB1lR0NyUNoRAdACZEsK952zMZCgxd2FOeLJUwGgzTHj2CwpxPyyMjC9s8PAyDkL/+tRA0sFmg5MZRVeXySc8dvnLLSEBRoCojIQc3VO6l9LtrFcdye/U3m713ZikzuLG+v4Yo5sKLyyYONPBsyK3LGLGrE1r+Mzszbaw2S22go1pDFCEAVifg4ao449nNJsn5Sx3VaLmGx9FJWqfK0GfeJoaq8WgUcmLGgHSWM7A11XlMvnJPi8DXzzXBlhR+u+WiMm4uzWIiZ3K0EDmMtptEf2vjeva5T44bCFW1plzYB6F5TR0axpCAr86KKFok1T6y/uN2v0hwA6Fd13dm/N9ILj9nRjs8BdO0wq9icEHvcw79Caukc/HaG65s0tBg4kOdCdz2m8u1pfA30pr3cdZ8LPoqhka0gBzObYHp3LUZUxWyYKqTkk0B2T/xd77xkl13Veie5z7q1c1TknNNDIADNIUKRESiQlm5Il0QoOoqzkZ8uz5oWfb/69v/PWrJnxvLEVLSvLypGSJYqkKOYokshooIFudM6V473nvB/73oq3qpuirQGk3mthNdmhuqq66rvf+b4dcHMv38shU+DzZ0u4c6BRAHetYaeg/xZwPVsmmny9JyiwXtCeZkEA5+RLOY0xD8c5ABiNCE+z/6ApMGACfSEGPdw1ZDgxcRxhrDs5m2t5Fqd/OGWjzW+XF579IXLbwybtc5Wm6+BRp3Nyu/i5tAag8fmzNtr9NsZj5LOPRMkCyViiYWH6vUslDIY5a3c7IdeTOm8DnztTQru/0qG3OelHER9pfM0wGOYMvBmGIwLLOXbQQbMSd0fw+T/QwSLbaracLvG73zTQvLO9nKR8/p1jrd82P7xM8Y7XslY5ro2WAn4xa6HDTyphwYknzDsujis5IJNSyJQqVM+vTNoQsGtuzxCojAZNUfb5/uZFWiqkS87pz+IFI+xzPGsc75q+EEeEf3vYQMzv/fwEDIG7hgz8/IqNjxyo5aYrrfHrBSo9j/cLbHgsFwOGwHiM7pZuFN5MSuHxBYWspRH1AR87UJsz2xcCUkV4+qO7ys9DVcpP5YxrAgZPY+zguT861ClxzzB1F+/a5c037/TTWG+noP8BYqt80Z6gwFpOl8cd9RjYqkg5y75m0VnVgpgbezhfdGfXrsmQIWy0+TX2thtYyjqB1XEeN32SbwopgBPr9DeP+Wq7+FMbCu8cM6AAXE4yf3I9z6P5M0s2DnZKDIRE+c02HCEj5Y6BxqLwlfMlXN8lEfXT7z1ZdEVVPPJmLeBSslLwy4Xf4R0vZLzFJACLWMwPrHooEl2MRAROrHvHlLkYi7JYt8JIlH4hzf4uLva0cffgVdClEM4OALi518Cv5m3cM7L12OXcJl0uP1AXQmGpijVxzuLFIGQoLGY13tRvsMv38aTUbPZfVLSTuHOg+e+/vkvg7Cbw/LLCmwYMKE0XxOeWFfwGC7IpgE+ftjyTlA50cOyyK8bc1+Wcxt2DBsZjXLrWapv5PPU5J8XxOjuF3iDteQu2xlRS40KcQecxH5/XXTGJD+2TDX+jziCLtmdBr8oEvpaxU9BfJyyl4TfIVLmQEGWJf87psAq2xlqO89/JBENxXc6wy592RwNTyRIVhM6s1rVVdUUrX7/ADi5QZT4VLiclCZyLk31QzQxxcbBT4LF5hTf1s6O/3gnRdamLqzmNjYKNs5sKzyyTzz0coSfMYJgeNBmL1MHhCPDmQR7Vf3DJwmaBsXQrOY2Q6Xpv84RQsBvfSKNRiYwN3OjRIectjX84ZeFDew2kSvQ7TxSdC5CzoIoXgf92gvF6UR9HSu44ImwKxEwyZUKmgbDZmP3ZFxKIN3HjczEUYbFuZrkL8HZdv/Y9LTxbJtrow9JqgQrwIpLdphXAYETil3OqYS9DYzKAhCN+bTwm8I+nqFOo7269cHs/laa39TX3gxFC4P4xA188Z6GogHNxKmdv65U42FnhvR/tkvjNqmrg4u9pA352ReOL5ywc65V4T5WauiNgYylbcfd00R/m32S8ih9etJlOdTmp8Y+nLIxEGWr+tmGSB369YJf9lerRGeCJcdzjZNzuCAavdewU9CaYTiksZhw2RomFJV2qMFKyFpdIrgIvaMDpECT6QxqvrCncNyJhCjJhDFkrePnMaRsfP0ArUO3Mc11HQUsBr6xRPHG4S5btYd1FadZSNALLAp87Q+tbd9ba7XiwdwdoGbuUpU+3i2oR0+WURpsPuK1PIlEE5jM8tj61pLCQBdau2DjQQabDrijFOXvaJHI2cM+wUaZLLmY1ppNMU/qHU5SVu4ul/hDvy4Wkd/cTdGL8bIjyTqEeXz1fwvF+ia6gRLrE8YObFrWSY3L90prGqQ0LWcvDt9zk3PqnMzZ6QgIBWctc4kfy5GdSZJN4CYwAcqSvpFuLUCIOLXNxC/8XKZhwfz7emhUDAG0+NgPbYbAEDCcaL9naB8aFO5po5QeTLNL/x9Y81T2wmzzw+ufo5l5SMu8arFAyV3MaP51RTu6sbNiHjEWZdVvPy+8P8SSrNZf5r60rXExqDIdpwfAfjhiI+BoXrc0srjv8AokmJ+sOPymU1zp2CnoTbORZQHtD7FKZCsMioQH819cs/Oluw7ObK9oaTy4yHsxbsScwGKFUuVmnd3Ovge9dsnCgvbnd6dedrmp3TJTjx9bz9MuYTtHH4iuTNnqCNF7qduLwRqI0BRuNCLy2ztmnO7I54vizPLlAGmGHn+OXn1/RaA/QWZDe4+zEXbrkwQ6Bs3EL/+d1BjbyPCov5zTOxdnJWwr43iWLSU1BzvI7A67pGL+/fsnlYiAisVmgAZbX9yxkFH4+a+MTB30NyULuTNqyWYwEOC9fzysUHC91eqqTDfPDaQWlFbRmOIUbEu6TAj6DJ7R4gbJznyGcr7lhFpX/7w5QgBYyRfmi4fMItTjQQcfHN28RUiEEx2H1MWzNsLdN4nJSlfcjW+GuQQPfuFjxg3GxmFF4cVXhUlLjaJfEX+0z8PWLNjr83q/LzgD/RhcSGgc66Kv+3IrC3YNsAOYyjRf2kSgtgBtvC3h8XuPzZ+kzdEO3xD3DHCN97kwJWYvjpPqfebWJxXW7X+Biwrto+yUvPC+s2FjLMdBlol3gzhY7lasROwW9CVr5SwswxCHhRLjVw2/whdaM6QLQaGgh07zT6w1S5r6ep4G/Fw51CJzZUNjXbpYL8miVOGazoPHV8xbuHzMQLwDrBdoAPDqvYUrOlmfTDLYeitRGloV9AlkbON5PC15bU3x0Yl1hNs1OvDtI2bUbwBE0gILtLGCr2BBKKfz9SRt72wTdKDcVVhfIye8M8Pl8uahgCLIOuoK1Y5OBUCV+zAt9IS7j3HGJO4Zo9wPuGMJSwGSiUc1YjVMbtEh4YDf96EuOBYEbI1d05tQ/mVEYcLpEN2YuYwElW5UFaO6o6EraQsm9aCiyW2pPBjx1fWfKQsxXma8HnKQjN37OlBRinY8r9IREmQLpmnu5njIuxqLAEwvNdw/16AkxQ/WZJRujMYnpFE9dJUXh0DtGjTLN9lCHxokN1bTY3dgt8dKqjdfWKUb76H76qqeKtAmo55APhcmCce9rvKDx0irjCws28O5xA+Ox2guImx5WP6rqaBHG3u68Z/M2X8vzGV1uPNyglHiBJ9rruslGu9awU9B/S3T6+YJqFqrrWgA0Y7oMRQReWWtepITgG+xc3MYdQaPKq6Rye4c6JX696O2HAbBbivk52z9c1am5o5LZtMaVtI2fzNjIWXSl6w/RHyZTZIFyV1WGYGcf8wtcSln4u8MmFrMaV9L0s/7RNH1inlqkIGkoUjmdSCkxHFEI+0SNJ0lJ8URxPm7j5Dq7+fU8O+CIryLA8UlgNqUdAyU0nIpMyW5/Ld98MToQFniihQIX4C7A/R5DCBiOBYHzzJf/6/kVFpJmCkv3sf1/Jy187IBZnue6p4di9clAaTy1SAfO/jDKbJd0CSgqVWPelbOcAOiCVf6c+3Xb46FpAP/lNQvBqgtIwDlF+J3EpnzVOC/v5KAuZhX2tAm8e9wsRxNW48Yeie9f9tZa0K2Svuq39AD3jlRYMTHHini+LrquzU/21ExK49SmjamExg3dEp84aOJbUxbCZuNpwKUO1yPq4+Oo3oVkShzZXEhQYPepU6TXDofJt7/PMfH6+5MW3jJobJkodTVjp6D/lugIsJNohp6gwEqOIRAZJ70nW7VATRXpS/6NCxZFMs6b3NIVDrRb7p9eooueC/eI7zcAaOCr55nB6S4KYz6BzqBji9pr4Nnl2uSbamWppejq+PYRA+t5RoMtZHjETpeA1XypPA8fjUp0+slKEYLLztEocOcAC9i3LlpIl4CH52wkisCuKOlqu2ISAyHO2quZPz4n2q4zYOClVdoOS0H717hDedwoaKwXuGT+9hRvv9ovhowYPu5LSYWeoPQcg3UG4MTPNdLgXHQFWEzrlbD1cEcfoy2sAtwFar2i1z09oDwqoA3xpaTCTT2tj/daa3zqtIU/3W02bSSqcXrDxnPLCn82YcDSory0d19rPukkPFXx4H9+hU6dzXj/AC+OMZ/AZFzjYJUPS6LICLpkUeNgB0Vq9QV/d4zz8urnzn0fff+yjeP9Ep88UjkNdAdIAa73Z+nwk9pZDyEEoiaDrVfzfF6TJVKBR6NUs/7v1xnwy8aLcZvjjR66hqviNXzX/9eiI0DK3WpOI16k2s6VsydLnMEXFfDquoWo6eZpUjofNoHuoMRMmiHFfSHaerrWAq7/i9Ya/3jKxscOmmW+uQbKXV7J5gv2N2sK4zFZXhQuZhU2Vmic5XesCn542cKRLsr+qwvarpjES6tUSDKflFLzqYTCCytMlVl27HyfXbagFBe7L68qHO2U5cLnk1yY5m3gAxMm0iXO8WdSCs8tkxlhSlLGxqKixoY3YHAx6uY+SsGxS1dQlLn+8+kS3rXLRJ+TH1ntFzOTUtgsAgvLCk8vcfkW86OcY+o+/1ETOL1JFWfY5HNT3fkJwSXuck5j9xYF/YyHjLweY84Cdau8yvGYwK+2MR5x49sm46olX97F4U6JV9cpu7+57KzY+kJwS6+Bn16xcay3dWLRbX0Szy8rHOhgKPnzywovrTKD9H27DWwUeAF+82BtFz8WFXh+hc9dztJ4eomjlb4Q6Yj1Y5wexwmxHm1+gQtV8/CCzbCXyTgL+DPL9Ij54zGjZpf14qpC3hLw+xsfU8yh1fZv8Rxdzdgp6NtA1tJld0FXLryc5TF1JmWhIyDQ4WfHOBKhyVTO1nh8XuGvDzWPfbmSUtAQGGxmoyoE9rYrTMYVbu0zIAR9tt0ZK3xAR0DihRWF3pDAdeHa29Gai76XVxXObirkbYWfTHNsMRqlP/pgmGyYTEkjUlXEgiZQVALDEVlmH7gCpq9NWriY0Hh6kXP0/R0CBzskeoJcsgJk3BztomhJa43LKY2HZmzMpBSeXNQQQNk0bDgi0BOkurUZfc81XhoIywa/GICK0RdXFf58wkDWYghIqsQ5Pa1/OZZ4YUXhxRWFrMX/r/YKDxmcrz63bGM9T1Vj0ODX3f8OGByXPTK3dQEei7Y2F3PhhlR7pfvUY1eMlsPbgRB0TPzmRQuHOr29z+sxHOGI61KycrLwwr52gcfmNJ5ZUnhtgwSAj1VlkPaGeEG9lNTYW3U7I1GBH1zWeHnVxtNLCvvbJf63QyYWMhqvei5Gvfcn7X6ekM/HGSY9nSTtcV+HgK019ncYngvhqE8gXfJmCkV9HHVdy9gp6C3wg8sW5tLkkfc6/t/dQWDCGV88Nm/jbw57F+yirbFZUC0TdUaiAvOZ1g5++zukk77u/XUpBG7qkXhxpdFrQzjeKXcPMTD6tj6JXTFmL86mmTH6+IJGSbObmmiXGAqTh651remYe3sdAaoN7xk20BPkHP58XOPLkxaiJgMZ6oUlQgiMRHjMf/cudmDxIjCXpiT75IaNtTywmLExn9HlEU9PsMIK6W7SqbnoCVHMJYRzGvIBA3Wd1ouOIMz16Skp7YzBKok+MqmwnOWOIe94x5Axo515s+PxroAvnLPKlNWAY+JWLeE3JRdu8xmFiFlZeHq9HsZjEtOp2nSfZtjCoLEGfSHytF9YUbh7G/4uQggc7zPw3IryzNW0HQrhxQRPoM+vMOjCyzjsSBcNsfZW3U6iiLJvzJ9PVCx1+0JkmdSjPQAk1ms/t5TVeGXNxmaRzcqRTon7Rysnz80CL+JeiDqJX55fM0XNzynNvdBWjphXE3YKegvc1idx7zDpil5xbMkSmnZpficpJlGEp3UoQHXli3VOgFqzcGQcz42is5F/YsGGEJVQA1trCFDtqbTGubhGdN5GX8jxhXFoljSbEri938BLKwp72kwMRQSGqji/j85ZSBTJqnlplSpDQ/D/n1u2y+Zd7nIvaDC9yJSyHIP3ds0xzQ8uK3zpnIU2Py9GB9oluoN8PnwGH1fUxyUmTaAAwMCpdRuvrit0BOCMaXi66A6IcvrTWkEjW5Ke8+02HxkprcRDvUGByapjuq+cJAW4o4juoMCPZyy8o4k5m9akg37/soWJNon+sCgX+rzFr20UgIJNhoYhgJ9MUwlZsCuz6wqbhbz4oqIQLW87c21HSObOuEOOvL9kMwDl9eBNAxJfPEeKq1eX7sbuuYvWwTDwqwWNV1ZtRP2ivPtZzmpcSml0BRhj+IEJA9+bspu6ME60Se5/nMi+Z5YVXlljNz/Rhpq5eLu/8hxWjwRd1kpJaZzZ1PjNKhf413dL+ITG+/YYDYSAqDML90LY5AXcCz6pMZNio7aQoYHXe8eNlieVqw07Bb0FWiXKBA1u5nMWmobpul1ltYmXdpwV3YVfosBknoyFsizelCirIMMmX6ALWYXhiKSfuAQMIaHhZlsKDIUphkqVGHycchaxUR/vR6efxlLnnHT16qK3p03imeVKB6c1Z5GPziukS8ATjiq0P8TxSruf45Hq2DFDCOzvMBAyFT56gDTJyYTGt6csmJI+KiEDSBQUor7GYtkXlsivKNxWtYwr2lzYruS4QF7JAp89yxg4NzGpK4iyGVi7k5PZbGzhpkm1QncQSBS805cAXtiDJkdWBRstgjOIx+ZtBAyUZ8Naa8ctsqIsJqtF4+E5XkizFmMGXT/+vO2YaVlclAswkDtgiLKAKugIqEIGL5ht/kpuZrufIzG3S89bGrMZPqczKYW1vOMm6dAjTcmL+WMLDCZxbZPH2yTuHaFK2cWtfRxReTkxdgR4UTof5wU64mOY9KUUqbL1z6ub/TlQc1Mcm33qtIWhsMBdgwZ2t7FJOb2pkC2h7F/jImIKLHoERrtfyzrhL4ki9zxzaYXZNF0+/RIYjQncOcCkrO0oba8m7BT0N4A2P5AseRd0pTUizradVp0a6wUuSw3B7rQjwIIbMSmaiDkeJvXy6/Nxprq34lAf6mS02Z/vrfhW25oXjHUnuDnm13hszkbOZqfSF+L8ui8ksFTllyKEwEBEQkPhvhH+Tkvxxe8GUU8KsnUm2ngb7hih3U+R066YxK4YcN+wxFJO40KcF5hvTyns79CYaGN3715YOgPk7VefePxGxVvmaJfG/zhh4f86aiBjibIJ2XqegcWbBd7+9y6Rktbpd8RS/kpxi/kq1rvNung3/3Wz0Dqkoj8kPGe+9RiOCLxWRU8VVV4uzmfKXzu1qTEUFp6jDhdZS+FL52zc0C3RFxIcB1WNhFaKwFRScTlfJHWxzc/mYH6jYpo2FKH69/4xRrbVWxQorfH1CzYm2kRLTcZNvRKfOW0hXtANew2tGUv30BWFe4clbuzmonUgxEDnenQ4c/GBMD8+v8LdjymBB8YbxzoRUyBt6ZpYQ4A7j1ythxkA/t3TJaqhT6xTM7DL0VDc1mcgZyk8saivOTFRNXYK+htAzCeQLNJydiVHkcJKjt7h63ld9sCO+Ejdu7mX3WT1Vf+JBRsQwHhb8zfxnjaBn81oZC3d9Hgb9dGwazJeiUkzqtgiaOf3nI9Ttr1Z4H2eTWuc3rBR0sBXJ22HZsiOP2OhvAMwJY/Ze9sleoIWZtNku/xyjhYFhzoljnYJhAyeQFwIUQnQYBAyF1In1hV+doVBAuMxRrz5pDuSaXx8PsluL22xQMf8oiGY+Jez/MVjMYl4gYvQiwk3tKDSeX73ko3eYO1oKuowYgKSz9d6vrW/imvhuhVGIgI/u7I9gc+eGH3sW7FiwqbEu3YBD83Y+OtDpqf+oBp5m499MauwkNG4e8hwkoha/5wUAvePGvj6BauslPZC0BC4rkvitfXaGX3e0vjXWRvxokZ/CDWUzJ4gL971p6COgMBiVuFSSuFCXOOmHom/OWTiO5foHNn4XNAutx4hgyphgJTIyYTCVIKFvM3PMdh79pjoDdaOUtfyEjmrdRjK1Y6dgv46UVIs3ItZdt0/n7VRUpzP9ofJCrmxhyOBxYzG08uNRkXVGIwIvNwkZcWFT7LIXoiTT54ucX6fLvL47npuF2zg2WUbqZIu26mGjMppYCTKRBuBinc6LUgNfPNCCYMRxp09Nm8jWWTBfm2N9K/qi1DOFugNAW8ZNHDXkIGNvMbpTYUfXraRtwBT0nO63tWuzQdsFJgEc0svn8vZNDv/X8wy1OMHly3sa5cYjdIorHoh1eYXLb1MuoICa3l4hka4o64fXmagR5uzHFtNKqQcJkymRA2AIYHlrI0zmwoRH0cO7giswojRHIm04LUDlaT6jYK3qrga4zGBn11p7QoJ8PSzp03h2aXWry3AGcWEgHObwA09EntaNA716AkJHOuTeHjOxgf2NC8VN3RLfPOihbcMMqx7MqHx6By99h/cJ/GFs3YNOcCQPIlWn4IyJY3FDD2EjvdJfPKwUX5eI453UsNjM/mar0fBBjaLGl88V0KqBOxt5+PYFRWYSWu8uqY8Q9zDhvfvuZawU9BbwKXpzTsy4bmMwkae1rODYY4qQiZZE17Mhc4gtrTkHHR8TKo7uIJNmuR6gZ3+ep4XkMmERtRUiPrdQAwKVUxB35ER5wVrKY0NS5RZGhsFFitXOPPYvMJIlDPojgA7+d6QhF/SD/zuIQOJosbXJi2c2lT41YJCTxU9UWt2uy66ggJvGTTw5gGJh2ZI+fviOfq2HO2SONAuHJtbgZl07VKSmaUAYODbF0voDkqkSsAvZm3ECygr+oYiAiFTN2UoABz3TDU7LufYAAAgAElEQVQxWHLZL/1hiYgJHGsinCnaGi+tKMxlFA53SWRLnK2u5DjuyDrBEFmLoRWfOm0h4gNCzjybM+0K3TFo8OJxZlPhcKcsM2K8OuTtuEK6ON7H7vnuIe9krHpcSTdGwG0Ht/VJ/P0J78g3Fz0hgfYAR1AX40wfeteuyogk4iOLqa9qhOXa1XYGKlTSwbDAeFQ3pC2FHefPegSkQN6RyKZLGmc2Fc5s0kjPUsC9wwZGorXipqChPS8CABBwLhDbtUu4GrFT0FtgJq3x0LSN4ShnuUe6DPSHKsfV19YV5tKNlqYu2nxcZHlFs7nQ4Bjg0XnOPZdzLBbdQdL2ugMU+tzUDTwyb+PvjjTntQP0Du8NyQYObtGm4vKXszbW8hqbjgIzU+Kc12+w8GstHUdGXrBu7KH5VzU90QALbX0CjRACY1EJKRQ+vN/AVFLj9IbCY3NMZ+oPUXjVDB0BiXa/W2y5vFvM8mL66rrCTAqYy7BzHgizg+8PUyUqhChzjFuh3c/FWzP4DYGhqMDlNC9erfDQdAl9IYm97ZIpQDb/3nmb3ft6HshZzMd8ZY186YJjGiaFQ280axktfsmL2WCY8W/u0tMVpAUdq+SuIEdPMymN3S2sfF28fcTAt6Ys9IcEhlos++vhk7wQtmJrxZ0Yt0fmFO4elDjWZ9TM5Ici9C2q7oo7/HAW71y2f+SA6Xi9eAS7GAJ5q/Hv6jc0FjPAdy9ZmE1r7GsXuHuQuom/P2ljzGNhHTBoLucFQwgYDiXVb3DcmCw2ah6uZuwU9BbYFRX4j0fNplfrqNmc0wpUrGoTBRpsFWwnDsuxqV3MspOQgqyUQ50Sdw9VXAirobRGZmbr7m13G6Ph6gu63+Cp4uZevpHe5xyh8xb9WE5vKEyngM+esXCgg1miMZ8b5FxLT3z4io3ZjMZnzljYHeMFxzVPivh4bDWlwIEO2sPmbS5FT6wrLOc4VjnYwRQkf9VjifqAdFUnFjRF+fcCwDOLpFeOt0ksZekhs5xj3FhvUJQXq/MZhe6g8JwvR30Cc00YEC5os7r1fLwnJJG2eEKpX8xVYzql8NSiwof38zl3PV3KdEeH6cKQCgZ/hE1gyVLO53gqyFn8/qATKG4rBjKPtymEyqeCysVBSq5cXeOuN/VLfGfKxgcn8LqKerPIxaWsxvPLNqZT7P6XMjTyql+w9jq+Ri7iBY3pNJuJB8aN8v7IVigzUKrhN7jMdpEu0Ur3pRWazN01ZODdu0SNZ47WTOCq55D7Ze1tVUNrDZ8AXnReV1fS3KM8uO/aKZPXzj39X4Ctjl0Rn/B8AbpIFNm5PLZgI12iFL8vJDAUFjjcSY57u58jkIiPi8VmkEI4SUkagy0CbLsCwIl15jc2Bh2LhvT6oMlRykhEYPoMfULOxRV+cJk+62t5uuu53G9DCOxuk8jZCh8ZM3B6U+FXC5x/39AtnWSc2vsUNOhet79D4H+eZDzbyXVa8o7GKGff28ZovES2ebGN+CU2isoJr+bntHZ90bmQLir6iWwUuODsDrKbdXnvttZItTglAJULy1ZH764AL55bYcBRuVaziMqeLgCqmS49QYEfTVu4d9jw/N3V2aBLWY7DhsKyTG2MFysXATdQxfXb15qvia9N2mgP2BiJCIxEaQfRGfB+vWtNz/zpFMdN6wVdHgOWFHCsl/L6gCGwlLUcr/ja2+kKctSmtMaLKwrPLSvsbhOwArqGDBBuMiv3O8vylRwvIBeTGoc6JG7pFchYfN1Vw31+S4r7kGqYknx7FwWbO5zLSTKA8jYjEQ90SLxjtJaieS1gp6C/AVRv2V0HwysOp9VVmPok+b1/PGqgL+TNLugObt01AjymzqY10iVVflNtFti95Z3ujcHH7LTdIGMFOFRJjnBMAby8onBzb8XIKmTy+zoCwN1DBu4alHh6iSnwnz1rYW8bFanDEVGmawZNd8HJmLvX1vlmDUjgclI1WJ76JX/HkU6BG7pN5C2Ni0mNiwmFx+ZJ8xRg5+fl8uclChGCDn4xP+P3XlihAjFk8j6u58n33yzA4VxzL/IPp0plu4Z2P0dMrv9LzM85d9ZCg992zd8jIFqOkFwETXLEN1vYKbvoD7HgNFuiyiolbE9Q4pF5hX3toiHooRlspfGZ0xbePEAe/UxK4alF6hlGojTdSjsaBlfL4DYGE208+RzplM6FsjbWbqKNLJ16S+iuABlBX5skW+WjB0wkigxSqYbPKcL1yFgaZzd5ijzWK/H2ES5MT6wrJL1+AHy9e/VapqS466UVXhgWMgze3tMmcKzPxI8vW3jTgMRgePsnmKsJOwX9t4TWVHFmLAqDZtPsfkajpCi+eYBdzzPLtEBtdcTtCgAnN2o/Z2uN1RywnGVwMz8C02mF4TAZKsMRiaNdTmKSM19NFjS+c6lx1l6wHefCPBAv2nhplUZWYzHSBkejXNjlLBYzITjumEoKfHzCwMkNhZ9e4RvycKdEpq6QuaHRQ2HKsR+bt6E0E2yOdjEMQwiOA/I2EJUsdK7fi600XlylwdOPpy3kbWB3jKeBXY5tL/3WW/9dQiaQtenn7hbrPVVfz1kanz5t4a/2m0g4hmrxIhfeqThdMJMlFtUvTzICMOrSGs3a6DtT8kKxnSWaO3ZoZqfsQggymmbTza2Zq793KCwwl9E40LG9TtKQArcPSJzd1PjAhImbeyvL/7mMRqakMRSWiDoXt6iPz8Vnzlh4x4jRktEz0S7x/UsW3j5SWWpqzc43VQKO9wnc4ph+lRT/FtUwBf113OfzSlrh6UWF1bxGhx/40D6zpiEyBcc0no9TsJlxsZan78v5TYWSZhd+U4/E+3bXjv38hkBpi9fY1Yydgv46kHUcBKdTCtNpDVuxoxyJCtw9ZKDd39hVtvlaB0ID7PQ287rc3c+m2Tm0+7l87A8xufxKSqGkREuqWlF5e6MHjAof3BROCPQuA5eSVO29tEpr2kfnbdzWJzESYbeWKnLxeVufgVt7JS6nGD6QsoBnl2zc0itr3hBBJ+/0/XsMzKY1Xl5TeHKR5lA39UgEDHZIqOt8DSkwHmOQ8CcO+hAvaFxO0Zjs0TmNoMmimCgyU7LNw44B4HiHS69mvGl2gTEf0N4k5V5rja9fsHC0S6LDL5C2OLdNlYDlnEKmxK4xa7EL/B8nrbKaMmSS/hY0a5kupuCppTtYERaZwvsxDIbJx74RW3eJe9upLfCiajbDDd0Szy5bWMlxUVkdMu4FnyRH/vSmwi0tREa9QT63rsgoXdL42RUbWYvP+8HOioNjqMlpyxRklT29ZGOjQJGPcpKO6k+3Unj7wPO2eD9ObbjGdLSiuHfEwL9ctPHOMe+RluvTc61ip6BvgSspJopfSirEC+zAx9tY4LqDTDmfaJNN3wxRnzflSmsKkC4neftZG3h0zsaumMQtvRIPjDfKjjfyFIi0ghScE7eCe5/CVR0yAPzTmRLafAK/mLWhNXBLn6wRFwnBo+numMD/+6qFpZzGZ89YuL2fxdqUfEOWlMN4iQmMxSRSRY5jvjPFzvv0po3jfUbNhQBATQfeERC4KWDgph4+Vys5KmYvJTW+fJ7y/2HHrXHIoZD6nZzQYosOy1VqFuzmvtcuY8ZviJaCLwD4/JkS/mjUQNhH1o9r9uUyXZJFIGdz1JOxgOm0VZb9a7Cw+6X7kffN1hw7+aUNn8FdgE+yewwYKGsMggawv13giUW1LaqjC1NybHIurtC3RZapi+u7JR5fsFsWdCF42ptOaQSyGr+cs3Fjj8SdjpdMtko0ZnqMRBJFDQX6ot85IHFjtwFDMp5ON3lN19fkgs3xTKbE2znUybSl6vxTARvNLvmmbH6RuBawU9C3wGvrCu1+gftGDAxFGiXSAWeE0AxhkwEXABkll1MaU0mFy0kNnwR2t0nc3CMRL9h49y4TPS3UiREPe0+moJMdkLV4tEyWgOeXbSfHspJQ43OKxkJWo93f+KqVEkxwGZHlJCIAeHZZ4fb+CntBCKo63zVGxemTizZeWGFh7wk0djgxv8CbBw3cMSDxhbMWplMaL60yL/W6bll+s5lNuiMh6NUe9Um8uq7wfxw1Ea/SB5zZVFjLkdNcsMn5lgKOTsC7CysqoIWyHyHTmypXj4hPQGk4WafN/3YzKYWnllQNY8JSZLe43i5FJ+Yua2lcSdH7xHLi7ZhwpKrYME7KkMULw2fPMOSkw19ZANPW2ZvzvqdN4FcLCncNbvkQAVD0lHZ8/luNjXqCAk8v2fBL4AN7jPKoMVT2UOHPyqqRSElpPLes8PKqggDw0f0G2gPVgSzev8u9NTer9NU1hkjvcuIQ/3KfgZ5g4wXZ/d1eTOL6rn+zwJPydrj+VwN2CvoW8DIdqkbQbH7Ep3MisyW/fsHCcpbRWxNtNPKvpoG9skaJesuCbpLl8tKqjaUsFauJYsWrI2Kym7OcCLNSASgpVRN5VlLk1lqKBk99TuTcnhgFQwKVOe6umMSnT5cwldA4vWHhbcMG9rax+Lov/P6wwAcmTCxmSc17Jkslqpe5lXQ639v7JXpDAqc3GO5sKc7lJ9pEDQOhHu5xWIhK0TrqhFrbiieeX8xaSBZpKLaa0wgYFIJ1BwR6QgLdAc5XtzpWu0V/K0TMWqplM7R7UCFNJzO0YnxZeb6eXVbY2yZbvh4Ap5ilNb53mWEpGYvL18tJhU3H8iBoUGXb5ucIsM0PJ1BEYz2n0BVsHkRevmdCYH+HxGRC4fY6Nyxbk5b66rpyRHLA3x42a7QX9QttQ/A1eG6T+5ahiMDHD5r4p7NWw8lUae+iXlIMlvnncxZszWi8e4d5WvrU6RLMJo9JoHa+Xg0JivoWszYuJngBfXCfueUy+2rBTkF/g/DXdZW2I2e/4LA3lBMkfLxPYFfMaCowInOk8VWWLDKJ5VJSYSZFqthaDhiNSNzaK9ATqmUaaK1xcpMKwmZ+Hd+dsnCoU6A7KOnXnVZ4bslC1uaJ5E6fLIddREyBtw0JFJXErxZsPLcsyhLv6ns7GJb44ITE+bjCT6bt8ijmhu7a++EeaaM+geP9Bm7rk1jJsav+0bSNomLHv79doq+O6eIWAS8YTpxdT5AL3uu7ZXnZ55qjzaYVXl2jSOarkxa6A7wwVAeUtAeowt3uLDVoChS3cUaP+XmRbaW4rEZvUGA13/oCD/D5GY0JHOrUWMiiZiEJOLROC2WzrmTRYfykeeH94nkbhqDveIe/0tW3+ylkko7YxhTASAR4YZmKztW8xloOzkfytW/qkXhgHPifp+wG6qq78HQRLzB96+klu0ZVqnQj7dWqE+YlixovrzKpK2iAPx+tvSjpJhcBgK/b6rdGSZG2OJlQmEwAEVPhaLfEu3cZGAhvfbG7mrBT0N8gfJI+FGc2FC4kFC6lNLodv+j3OwZA//2EhZGobFrMARbOTKkyWz8f50IwbZHtsb9D4vZ+4EfTNv54rPUc0y1GZpPx73JO494RnhAGnMg5pRT+2wkbRaXxubMW9rfzFCHYsmOineKis5saP7/CwruS1Riv4xyPROh7/r49Bp5ZUnh2mT7cN3ZzeSrq2AfuOKU/bOCuQYH/8pqNouM3DgD72yUm2gVGIzwVbFU6eXLQ5dv2WvZ98VwJdw2SebNZoO/H5ZQqR9pRGMW/7Xpel9kebqRdxIm0c5WdWzFvAF50/Y5pVDO75WpsFehRj7cMSnz2jIU7+mVN8pQQFZuI4Ujtz7ywYmMjT8OueJHOnPEi9xWTCS4SbUWvdNvxC0pbwK8XbPSHJXpDPFn1hESNaVzYtB2FZeV3uSc6q2688vGDZvkC5/qy179NSooXhPW8xrPLNi4mNI52SdzeT6toLwtjrdF0paw1i/j5OJkv0ylqO/Z3CJRsjYl2A9d3N/vpqxtbFnQhxD8D+BMAK1rro87nugB8C8A4gGkAf6a13vz3u5tXH5JFWsnOpZnZuNsRyNT7RQN84+etRt9mF25S+sUkTa5sDRxol/ijUc7t3Rf8umO92woFm5ziZr8rXuDXO+oyFeNFdmR/sov88BdXFb503oIAX/wAu7UjXQIHOwX+/oSFH03bONSp8ZbBSnCCu5QcDEu8f4/EcpZvwueWLdzUI6GVRrPG132c9wxL3DPMzv1CQuHXCwobBc5GAWAzr9AR8O6cpGDaUiu4gqrhiMSIR9CzrTWeWrSxkecFxeVjL2Yp4884/i5uoTElcDmlnRCKWo/ySpAFEJRM5ekX3GfU72Oq0RkQmNmCHVWNsMll9cWkxg3d2+soR6PkcpOdQwbUVvjaJHNCW/nAtzuhFNUXUkMIrOUUvrhMxemH9hr42kW75rRiOd15/QkmUeROgSwbib9zjLteWPF2YQTos1P/taLN95gC8OnTNkajVDLfP1bZtSxlr+GNKLbXoX8JwD8A+ErV5/4TgEe11v9ZCPGfnP//v//t797VA61pxzqZoLVnosjMRdq/Arf1N38qXVZFPdbyGmc3Kx4fIQN477jpKaop348t7me8AE/6pIvplG4Q/ADA5RQ56QDHCG8ZNHCsV+LTpy38ZFrh7SMChzr5c4ZguMdH9ht4cVXj82ct3DVo4Ppu0cD/7Q8LPLDbxEZe47kVG5fTgIJCf0g0SMnd+8QjcaVzf/MgKaOXUhqTCRtfu8Aj/a4YvWNGo6L8mFsdtSu/p/kMFWDxCZkUGB32yKV0YSuNJ5dspIvA0S7peLnQ0yVVAtbyqhJk4XS3P5i2y2M4KRzhmRMMbpY/ClhKI16gv7shUPknRY36t/ofALywbCMgOcJr81d8brzQH+Kicz2/NefdhZvtOh5r/j318/JsieOutAW8c8zA/naBVImCu2rkLb4HXMQLGk8u2jgf1xiLCvzVbqOGyVNSPCF5wXJOqEpznHJmkwvTIUdl/R8OGwhtU4x1LWHLgq61fkIIMV736fcCeKvz318G8Dh+Twv6Ylbh3Cbna7YC9nVIvG2YRUQKgUfm7K2C1ClWUFycJouuKxyl1Ic6JN6zy0CyqHFyg+b+zbCduW7UB7y1RXZkm59Mlnqcj2sc6639vEuh++CEgV/M2jgbF/jjUQMRHwtnyCfwjlHOyX85Z+PVNXbXXo+gKyjwzjET6VIJpuAMeyhcsTVlMXZGJR4/H/YJHOkEHpoB/uMRA5tFdrAXkwq/XuA8dihC7rNfUgrfzCu8GcOhGvU7Ai8YUiBkCNhmaz97F9+6aOHWPlrYuuOFkuLy1VbOSEJT35AsavxiVuG6LlkZeejKCMSV9btqYFvxb38hAZzc4EkiWSSLJupjce8KONm4IYHeIE9kdw5IPDxr4y/2evOy69EfFg1pQ/Vw6adKk6765KJC2ATuGpRlvnxJadQHV+Vsl5+u8eQi+eO39Ers79DYFZMNtMxiE+qpcp7bJxZsnNmk3fKRLoF7hg34JPA/T1lNi7nSW76dr2r8tjP0fq31ovPfSwD6/43uz1WH83GOOZp1zq3Uai6kYPSbG+V2oEPg3mGjfFEAgLytYG0xK9hOQY/4RE3Kej2a+WHf2keDrWrEC6RKjkYlPnZA4KlFhS+es/DOXQZKGuVsy/6wwIP7DJzZ1Pixk5+ZLmlPHwxTCBzpknj3uMDpDY1H5tix3tgjcbhTlFk2XnC5RFIyp7Q7aJSVjsmSI0hZtDGZUHhlXSHqQ9mR0S1kbT6UfWxawWs55wWxjbl++bFX/f1cEY0p6+mTwvn9Gg9dUZhoE68rpDhrWRiKCBzrrSRNpZzg7o28s59JkAEkBNAToF/PL+ds3D1kbMlljzaxsq2GX9L75bkV7h/+Yq+JJxftmtdD3oM3ny4plBTwubMWDnUw3CLsE/julEbYo1LlLI2uKlpi0Wa27m/WeByWUuAv9xk1p4+s1XpsWf93txS//1pZjL7hpajWWgshmr6mhRB/C+BvAWBsbOyN/rrfOVp1u4DDafX4vKV02T52Ps3O6ni/gYk2bz+XVgwOF0ED+NiBf5899j6P2LPZjMZIhPfVlAJvHWae40MzLMIcVvPrwpmv74oCnzpt4wtnLRzvlzjWW8tycV8oPilwY4/ADd2ibI/79KKCBnDJ8YFpdJz07qxdV8t2P0NA9rVLHOwUWM9zAbycpbp3LaedgG2yK4bCNO7qcgJAqpfWVtUFqxW20+27MLfxN3YhhUDUoUS2+7f+fhfXdUk8uahwrNf5nbJC8awek2jNPcBqTuPkBmMFT29Y2BWjKrneCdNFoqjR0SRgZLOgcXJd4cSGrrBPnFm7G37tIlWkvbSLy0mFn80oKAAP7q3VY2TrRjHlzztjyvW8xm/WFE5vKAxHBG7slni6qDzfu1YLsgBQsR64kFA454xpPrTXRP829gtXA37b6rAshBjUWi8KIQYBrDT7Rq315wB8DgCOHTt2bW8cmsBtrLV2It02+QbpC7EbVdrG0S6jtTx7W92gaOpJ/e+BREFjLFp7n3fFJP5yL/BPZ218/aLCA7trk4lMSZbLX+038ei8jdfWLdxTxV+36zogIQRGonT9SwwofPasjacWFX46QzvhI52iTB3b6s0IcBlmShbE3hCckI3K13MWs1cHw8zjPLmhsJmnViBokBHT7ue4ImgKXEyosmFXyGjs1LZzn1zU0+W2gn8b3jX1GI2SUli0tWdBdkE1LOmjQQNYz9v4y70mJhO0Of75Ffqs745Jhqg4s/7ZDAVxZzZUWcyWs3lh2ChoHO6UGI8Be9pqM0DzVu0ILOEkTyWLPKWt5MiYChlooGpmLF3D3AH4Xtt0WC+JIu0MPn7QRLufgTEhn/eVs6io1aiHpSj6W8jy40BY4GAHm5jYNeS4+NsW9B8D+CiA/+x8/NG/2T26xiAEWQ+/mrdxdlMhYABHuiQ+cdAoR6VNJ1VTZkf5dv797+rrRn1yjAsNilMOdgh8+byFd44Z2Ot0+G7B7goKfHDCxKUkhSMvrAjcMyRbFkDTkb5/5IBZjrX78YxdZv2MRMSWL9iS3chuqEbIFGURSjXVTuvKaCJeAH6zppApafxmVSHl+LiUFMq0RTeWbi3PQnViXdV4twQce1y/rLA2vCh5reAuR71eHbbWZU+ZTIkc94xFNo4pKHufaOOoqTvEbr/Z2IDpQdyZXN9NDn/W0piMa8xmOAaxnH8rOY4/SrYqh270BoG9bRzZGVLg21O6JhfWtTiudq5MFPm5L56zcEuvxHvGDTwyp2qojgBHT+kSvXcAnnTPbGo8v2IjXgTeMiBxrK/2FNhqf1J9obO1xnRS42xc4WKCXHq/BO4ZkjjcdW0GRW+Htvgv4AK0RwgxB+D/AQv5t4UQfw1gBsCf/XveyasRiSK556+s0U3x5h4qJr2yCrdiVQAsNMORq7GsNyLrdEzH+w0MRwR+PG1jNq1x95Bs4L/vcd7oJ9epZrQVWQ9esHSF+VAda7fm8PJ/vWgjawM/maan+u6YKPu0uygoFqZmoEtmIztCCFFmhoxGOQMejxk1C+SS0jXGXJkSsJrn7uNKWjFj1AmsyNtc2rnPhxussJyz8eyygilqmS1eiBfoh2IIhZJifmzJuc2SIpskUucE2RMEru8WOLFOyfpkQmMtT/UmRVcUAFXnsgZNnn6q58dhkyOxG3tqn6hH5my0+YHbmkT4AY37k6xjTxBxqs1SVuP0Ju2SH9xvOrYJfE/Vj/4ypcq45eVVG88t0+DsnmGJ703VWkC7yFnNfXrylobSzLA9F1fo9JO9dfcQO/GvTlpNM2uvBWyH5fKXTb5077/xfbnqkS1xuXlmk8rDAx0sKp0B4M2DzV/grUQOLnqCrV0UryYkipW57oizMP3JjI1vXLBxx4Bs4MBLIXBDD984nz1j4RdzFHPcMWDUcJW9xFCiPDrhKeChaQsjUYFzcYWHZzU6gwJjUf4biYgtTarc0IOtUu/zTjJQNXyyUah0KalwuMtoGlfnphMVFfDtKQu39tJLnCIbl9lS95idjys5G4c7JfrDAn7Hk8dX9uRp7S+SsSwYgstqgK/d1Txzaf/5nIXxmMCxXvrbu83GdpavXi6J9UhVddQA1aS9IYGCDTy5xJOsAPD+3bULy82CbhCBbeQVDEGvmv6QwPv2GBgMS+QsDZ+hPMdK6ZJGpG4BspbnPuvVNeo8DnYAH91vNvy+VnGR1wJ2lKJboGBTOHRmU2HeSWM53i+xxzlePj7fKHOuh8LrO2pf7ah/44V9An82YeCZZcr+o02UkH6DKtYPjBu4kNT40nkLBzoEjvcZ6ApuXYzztkbIJ3BTD10YbaUxn+Xe4sUVhR9nWTyfW7YxGpUYCgt0B2tHDdkW3Vs1shY8mRVe3xdp8X3V6URFGxiOyC090V08vmBjT5vcNke8GvcNG/jCOQv7O2hLHPYJ7PIJ7IqRPnhynf72AcnF9Hb3AFRGN/960dYo2bXP3UpWQQL4/FkLe9sFPrzPwJfO2zXPQ0lxtOKOXJTWOLWh8at5Gq19cMKsofQmi7UXjWpkHFfHnMX37cl1jXRJ43CXxI09AlmLYeheKKnWI7urHTsFfQt844KFqI92ow+MN27+t1OsX+/s9GpH1kJZoOFCCOF4VwPPLSs8Pm/jLUON+ZJFRffFuwYlbu2VeHFV4WsXLIxEOA5oNS4p2LXjFEO63Tlw5wBg2Qr/9YSN3hA96J9ZYixbn0Nb7A8JCOimKtpqpEp6W8uwlEc32AzbvUi4KNjNFb9bIWgKXNclMRlvFAEFDIFjfQZu6ZWYSlKKX1LAQzMWZ+Ft3nmsAGforUaDSccszr2IXkkrPLvMRer7HffF6ZQq+7C7WM8zUUvCVQfbCBoCE+1cutfrM9ylaj201ljKKuRtgedXLOyJCdw9JLHLYU09s2S3vKDXv8auNewU9C3wkQNmS87ydop1b1C0jDK71vBHo0ZTf+qwCRzqJNPia5M23jNecZXUWte8YUKmwF2DBm7vkzi5wQQlpYGT6woHO0XD0cVJkJIAAB0nSURBVDdve9PXXBQ1GRvV892spct5o7MZBogki8CnTpfQHWDyU3ewYkzV5nd/Dk1PGi5sp6vcDq0wa9EMa7vFwnasdevHPtuF1lz2vWsL35+97Qwy+dE0hV4nNhR+doXeJhPtAhNtEl1VeaNzaY3jLebnbvjIVELh5TVV9qP54ISB3hBb3+WsRn+4cSQSMYFvXLSRszTeOkSK74+mbXR5ZA1sFmpDq9MlsnNeW1fIWcDRLuAvJswG58Zci78r3VEdQZ3DeplJaYrl/lB46L/v2EqAUlJUJrbC3Vtw2a9FNHuBZ0osju8ak3h5VeErkxbe6tgClJyEp/pC7TeEE5zA8da5ODNGj3SRceEumrMlXcNMqUe21Gh8FTYZuuB2qS+v2ljJatw+YJRzWZeyGuc2NeIO8yLsZJv+dMZGzF8xt4r6KhF0phRIOMf+7cyeNxx5/XYLQ/m2f8tCMpPWMAW2tWjP2Vxi3txLoVbR1phJ0y30xRVaD+xpkxiKsCBqzeSurMW/SdZZABdtxiVuFoDCksIN3RIjQ8A3p+zy4hMArqR1OVQF4Cnn2SUbqRKVxtd31/oX3d7f+BjiRaA7oDGTouvidErjYIfAA7sN/OiyjZt7vePyspZGX8j7/VpSGkIDj8wpnI9z+Xq4UzQNw7gasVPQ3yBeDw/5DwHpksZQhB3NsT4DYzGJn85YOBcXuHNAbnHc5dH6rUMG4gV2XN+dshAw6OoXL2rPbq38u62txx+pIi1yO51/e9trv25r+us8v6wwHqMx15qTLJUqOUXMIhvEtU7+zpRFMy4nRShocKzhd9KG/AY9dKI+jazF8UOz+DkX9R3o68Wrawo39myvs8zVjYL8hsC+dprNue6fl5IKzywpWBr48YyNsENZdD+2+YGAlFjO2bizX+J2Z0b9m1W7xjvIdrQa79pFSuaLKwovrCiYEnj3Lol9VctlpakP6KqjMhZtFvKpBOAzbNzcI/HOMapcXYpkW5MuPF1CA6XStW8+vUlhW7ufQdbNUsiuZuwU9DeIVja1f4hIFIFDnZX/7wsJfOSAieeXFb5ziUk2zUKVq4/DHQGBu4YMvGVQYi5D7vGpDRZFWwN72yV66xaeqRaLMhfJksZujxQbF4bgSWIoIjw9b4DK6OjpJRvpEnUH5dg5mwETRaXKoSIFmwVaA/j8GYu8bscN0HSKO423XBMupvsoTf8XKVwXwsrHsOmcHPy0M4hV+ZenSxwX3N9i3FKNTEl7JjsBfH77QkBfyMBMis6ahzq9n5e8pfHYPHBTlSfQpZSuYQAtZBj4PJumdqMnSCbOlyftGiESQEuCmA/lvVXK0QW8uq5QsoH7xyQOd8qGpbfPQFNRVdriaSReqHgqFRVwpFPivmEDTy/ZTRem1wJ2CvobxK298g11Ur9vSBR1jXIUYIG6Y8BAyAAeX1D4yqSNt4/IcjyZC6/jsBBclo5GSWEbj0mkLYZ0CFHhuY9FWci2WmQm6ny6vbCRR8u/qRACQZP0vL3tsiyqaoV/Psfs0WHnMbt0RteKoJrGaGuNh2dtTLRLDIcFFFA25LIdvnjW0tgoADNphVSRxS5n02tFgbuGl1YVugK0NugMeBc5rXmxvK2/9WNIFTUWsxrv29P8eZlMaOyKiTJTKVNiN/4nuyo/c2pDIWcDTy3a+ONRA+NtErNpjjfq799ylorNjbzGc8s2JhNUov75HgPfuGg3FHOAfu71rz8XeYue7/96xcJmgaHVf1SVNzqdVC1HetcCdgr6G8RYC1/oPzS4asu2JktCUwpMtDFH9XuXbEy0K9w9aJRl3VkLLZfHWYsFvD8scJ/jlz6dIrf4pzMapgR6gsC5TYq0Yh5v7O2MMtYLGqPRrf+uyzmNOwe2LgB5i+rTgSrRWTWdseFxlmiM9qb+1qEo9bAUx1RPLiocH5DIWsC5uMJGnnPtkEkjtXuHK4vquYxGztbY38LQDWAhPtDRuKiuxplNzs1dnFhXONBOxsxqjla4FxMat/RSc+HOyWfTGqMes/7Ljv/O1y5YuLlH4pOHDYRMgdm0Qk+TfcRmoXZEY7ueSpvM8bU1cHu/xESbbNh9bJfSejXjGr/7O7iaYGmeWJqJdjKWRtQvcV23xL4OgacXFT5/lm/W2/ok0lssPavnn9VJR8f7+cb9+gULMZ/AyQ2FX8xyVj0YIV2xPyTQHuDyrhVvHKAviZfitxp5R3LfvY2sybkMWSPbdU2cTNBH5fUKXNbzwJNLCn+2l+KbariOlOfjXFTfNcgUqedXFG7tlS1FSrai+dX79zR/4hazZLS4Tp/asc69c0Dih5et8iI0ZOqaYg6woN9UpUhdzmo8tWRjKqlxvWN7W929r+Y0epskfG8UONJZytJ07OwmTylHuyRu6+Oie3+H90glY7V+/V0L2CnoO/g3g89xZGyGak+OoCFw74iBY30STy/a+OxZy1kwe3MKLKVRUM07KEMKFBVwvN9AX4jLsc0CsJjVWM4xgWkxyw7tGxdth7JIhW6nQ1eUQiBvcT6+FRXRLdLbyQedSrJAbxenNhSO9b2+k1+6pPG9SxbeMdJYzIGKI+VtfQb2tEk8NG3jzIaN1bzGe3a1/l1nNrmMbuXV/+SiKp8olNZ4dome7E8sKtzaJ3H/mIHnlxUOd9ZePGytMZ/ReM+4wHJW4+klG/MZjVv7JC4nGZVYf2FbydF0rR6ZEpk5OQs4vWnhui6Jj1SpQS8lVUtZf6a0NVX1asdOQd/B7wzpksZQXbFp9wu8c5eJ1ZzCF87Z+Nqkjeu6NI71yZpZaLrE+XCzAuoGQrvjHiEEuoL0hDnifM+pdRtn4ywwpCxSxBIv0Eo25iPv25TAs8sVl8U2h7JY3SXOZzSGo1sXaa01JuMKD+7b3lttMaOQLGrs22IEUg1LaXz/ko3ru5svLKvRExR4cL/EP52lDfJnztgYiigMhzmqGghX5tla0wjr3hYX6rk0/dXf1Cfx6wUbJze4tDzYwUAUQwpnVq/wwO7a52EpqxHxAT+7YmMho3G8X+Ld4wYWMjwleZ1SlrIV2qOtNaYS7MavOMHXdw9KT4YPxUjNn5e0pTHaYmF+LWCnoO/gd4ZUCYg1eUMFTfK7P3LAxMurDNIYjzHAeleMNqutuqucRfZHM4UjAGwUgIEw8zDr1ZOW4gXhhRUbPkF2ynRKIVniQjBd4u27bovreY2hiMATC1Qehs3aLNGgkyO6mGXW6Hbl/i+ssDt/PfzzR+cZ5nHnwPaL0YtO+MQnDxtIO+Eg8xmNxxcUVvManQFgKCxhCA1LkV2zkFGQTvxg3tbYyDNm7+QGv+fhORu72yTuGZJ4fEGVizlA7rkhgX5nVKI1ue4Pz5IpdHOPwHvGK934XEZhxOOCaSuajfkk8Pg8Lx6dATKS3jUG/ONpG4e7vOma9CDaokO/xiviNX73d3AtoZWcng59fMPdM2zgjgGJ0xsKjy/YyFlc5gVkc8vKzeLWy861vG7awZqSIxhLMaKvPvVda7odZhyL3e9esjEWJcUxXuQMOeu4LRZsXXZeFGDH//mzJQRkJTQ6aJApE3L46yGDv3sqqfG24e0X5tMbCtMphY8eMLctWppNK7y8yp+RVS6TLt3UUlTWzqU1nlqia+MTi1Tx2k68m1/yBOTaGfzFXgNtjoXld6Ys3N5fu3T8zZrCzT2M0zu7ofDCil1m77x3l8Teurn2TErjtrqxk6U0nl+hEfW3pmwc7ZL40D6z7HUTL2iEHA2AF+IFjf0tGEkjUbHtC+/Vip2CvoPfCbTj391sRsmFZ+XNFHTUo7f0GljOajw8a2ElD3zhbAkHOphN2VPFQ98sAJ1bzL23E4a8mNU47qFMFKJSjBNFzs+P97fmK9tK4VOnbLx7nEyegq3LodEuZz3thEnnbGAxoyEF8PmzNgRocuYqVLuDDCTvC5F/LoTAWk7jkXmbEvft5OWBF86fTNu4f8xoeuIxpcBQRGAybmN3m8AD4955oys5jX+5aOGj+83ybS1mGbP4p7srz02qyKDmDj/w6dMWekNkuXQHgC+et7G7rsgWbap3x5wOfTXHBevpDYWwDxiMUNZfv2Re2+LvS1O55s/Nndcw/9zFTkHfwe8ElgZuacGAcTt0L/SHBXpDEoc6NfrDEufjGt9xeOi7Y+Shr+ZUyw7dHal0t3hD523SLnu2YK5Mp8i33gqzGSDqrw6Qbv4zySJtbf/mkImwSV/3tMMvT5V4MXp5VWE5R8FRb5B+OYc75bYXeXlb49tTFm7s2Zo7v5BROLmh8ImD3p2/pTR+Mm3hnqGKBbLWGo/MKbx5wIDpzM2vpOnpbmugqJjx6doAvLzKEI768dJsmiyWyYTGq2s24gWN67slPnrAZHRgxJsxtJrTNRYD1dCO6vT3XTOyU9B38DuBT3KU0gxUebYueBPtEqNRidEocO8wgy+mUwonNhSmk1SR5m1gJCIwHKWC0i1G63kKilpRBxczFLJsxVyZTincN7J1N3d6Q+FI1/bGJ88uk8PtcvKDBhAMNcaxAbz4/WzGRpuPQprPnbUQMRk/NxKRGI2S0VJdiN3F6UhE4k1biIgspfHTKzbuGzEaot8AFsdfztnoDgoc7ap8/cQGgzT2tHEX8eoafc+TJeDBfUaDkOz0hsYddXP/lZzGrxdtbOQZc3dbn8REe6XoL2R1OQC7Hqt5jd1NdCEawC09jV79v2/YKeg7uCqQKmmMtBDzJEq1CsDq4Itb+4AvnSvhhm6JoqKY5pF5ztv7QwL9YYGiTRdAW+umC8f5jG6wBa5HusROb2gL06uSotFYsxi/msdWpH/M3x7eJhMmq7Fe0Pj4QY5alNZYzQGzGYWppMLjCxpCAKMR5rUORwSeXaL/yn0jrf1dtNb41ys2+oLM1PTCb9YU5jMaf7W/0r1v5BUedYr8P52zsb9d4P4xGqBNJnRDMV/JaaRKzBco2hpn4xqvrdEvp6SA9+42GtKL8pZGqoimHPSVnMbxPu/7LIXY1t/iWsdOQd/BVYH6lJtqaK3LPtvNvr5ZBA50VnJCXdXqck5jOatxPklp/H9/zUJ7AGXr3I6AQIef3jHzaYWbmnR/Li4lNbMzt+jiz8fJgtmOp/qzS6oh47QZMiWNn1+x8cBuozw3l1Uiq2O9lfHCbFpjNq3wxAL9zve2A6+t0z6h2ejh2WWF9Tzw4H7vuTl95hU+vM9AqgS8umbjYpIMmTYfcLxfYm+bKI9cHp61PU9mr60r7I4JPDyrcC5ORssdAxIdfuCbF23s9eDtz7c4QVmKatztCL1+n7FT0HdwVSBVl0NZjZzdmpLoRqJVe6VXZ4Tua6cQ6L5eUiA3Cihb586lFU4VyYBIlYC1go0XVhR/1uGhR0xRzu68mGCK0FY4sU5Wx1ZIFGkX/MltdOdu93x9t2xpTSAEvVs6AwKpkkZ7QOO94wYWMizITy9aMCQwEHZ9XgS6AsBaTuOVVYUH9xtwry2WqoRnL2U1nlpU6AoCX5q0ETS4w9jTJrCZ1/jYwdrl7FSSJ4Xxqn1D3iJn/DerChEf6Yp/fcgsX/heXLGxp91b1j+b0Rhtwv1XGrh/zNgyWvD3HTsFfQdXBd6/22zagSeLrZWbGwUqGZuNEmiRqtEXZudI98Da713NaXx3ysJf7DORLLKIJYsUH82UqHpMl7hYnXKsZEMmQzrCJi82Lg9da4pfwiZ90IPO5706y2eWbNzUI5u6HVbj1IZGoljLIGmFV9ZsnFxX+PB+E1EfaZnXddMSdz3PmfNGgVa0zy9rrBfo/Pg5R3AkBde4UR//reaAXTGBm3skBiMCYZMWuP98zsLbR42aYq61xtNLCnf0G9AAppMKJ9YVLqU0ugP8G3zMg2p5MaFxc6/3xWourfHmJlx7vyFwpOsPu5gDOwV9B1cJWvF/WznoAcB6odEzuxppp4NvJRqZyyiMxio+6V64klJ4bJ4dbNbiySBraYd/Tu55vMjvC5p0lszZjMFzk5qqPcRNydHMW4cEphKUpcd8/L76Qpcqavxqwcafe9D1vHA+zgSoB/eZDScfIQR6qhau0ymFSykbD+4zyp2/1mTTCMHu91tTNm7saVxsP7tMp8QDdSHZl5MKGUvjSlrhl3MaMb/AdV0C7xg18P3LNm7raRzp5C06Ou72YBBZihYOW+0u/tCxU9B3cNUjuUVB39iCf7yc1Q0ZlvWYS2uMbeGweDGpMdFOOXq73z011N6m0hqfPq3wgT1mTcya1pzhZ92LQAl4cdXGYJing0tJLgmTRX5/ZwAchwQFOv3AK+sKN3SJhug2LyxkFH4+y+K/FU1vJqXwo2kbfzpu1IxxhKMIdcc8IQN421CdX3mOpl2fOMAyYivSFC8kyBsPmUx4+vD+irujO+rysjaYSmqMxRptdHl/KF5q5nO+A2KnoO/gqsdoVKBJhCkAjlyOtPAwWclp9G/hnjib0bhjCyvcqYTCn4y3HndMp5iaVF94hXATfgCAAQvreeCTh82GcUve4ihks8DH9soaU3VWshrnEqWywKjPcZGMVdEzE0WN71+28c4xo6WZFkDfmB9O23jvuNHUBvrZZYX1AmmH1RdErTV+Pmvjlh6BqaTG5ZSN6RR54D1BOlp+8rABoy6e8bV1heu6Gq1r8f+3d7+/VZZ3HMffn3NaEPlZpQhYtDB+aLMJKjLZnHE6JhCD0QeLLjofzLglW6LJkkWzZMn+gWV7YJaYze3BFs3mdDI1c4g4o85NUNwAreCKtkB/CLQIlELP/d2D6z5yaM+PYlvOxen3lTQ9933Q8+EA397nuq/rewEf9CUlV3JmpRFtpzfReUF30SvWPbDQoRNWdsimq99YVmYhTd/J0Iuk3LDN4YEwx31uhR8M7x5MWD57BDNbusLWacXGzi+oE/PrxPyp4Wp++yeD3LO0jjlTwuYb3f1G94lwA7OzP+yENHdKGCNv7TVaGlR02KLQwROhfcH6y7I0lyjm7/eGXvP3LqujPiNySXjdzuPGjkMJncfDCt3m6QmLZ2RY0ySm1Ysndg9yw7zhxXwwCf/dvUuHl52chQ2Zb23yoj0aXtDdeW/RjAwNZYpx13Hja/PKD7fkd60pZXdfwuISsy/yjp8KmyevW1D+Kr53wGjtNb7XUvnm5sv7clzZkPnsajs/9t2SPm9mHB2ErmMJrxwIC3n29BnbegaZOel0e+Bp6SydafVh+OLZthyr52ZYOD3MYxdhdWq+B83+Ywlb9odNLTa15zicfmJomBz+n939sOHyLEtnnfmedBxN6D1pRW9QtvaGoa9iw0BZie+31BXd2NmNnBd0d967pcyqzRO50Bq33NV3+9HS0+Hy9vSFHt3l7DicsHiGKhalN7uSEc1s2ftpwsefGvdfWfr3J4Uhl9aToSPiAy111KVX04cGQn+T3oEwL70jbc3b1Q8Z4NX9CVv2JeTS4axJmdA+eFImXHnPL5jW2JD2j6/PiGfaBrmuMcOyIsNcr3UmrL4kW3Se/vaDCdeWmcrpxXz0vKC7mjY5A/dfWVd2OX/7sYQVs0v/U+gfDMMMzWWGMczC9m9rKrQEOJLOO6+0KjSXLq//RlPlG4H7jiW80ZXwnaV1n83DzmbyK2nPHPd+ui1H4wVhznb+ytrSGxRSuFr/44dhYU+xzUp294XmW7ddPvy59qMJhweML108PO9ALnwKWFJi9akbG+d3N3fnKgg79ZQvImuasswpsZwcoC2dfVFuS7gDx8M4/GUVrvTf7Eq46uLKq0K39STMqFfFjS5ODBrPtoXuibMqzGj5x/6EEzm4dcGZNzil08Mmrx5IMIMb5w8vDSdzxqb2HLcuGL6LEMBrBxK+Mrf41fnkrPj2krqz6vPuzp4XdDfhNU8vv6fmFQ1ifYVx8WODsGpO+T4pR0+FXXuG9vku9uv+2RkagFXqcf73jhyLZ2aG9T0ZauehsMT+joXZkvPY9/Ql7DqUcHtztuj78XpnwoJpKnoT9eOjCX0n7YxmXe7c84LuXAUZiQsr9GRZMjPDNRX6wEzOwh0LsyVbHOS9sj8s76/Uu33nodBOt9KGGN1p3/Q7F9WV/GRw5GSYb76hOVv099rdH5bsl+qYOXeKuHORX4FXm4+hO3eO1Gc0oj7qKxuzZWftQJhquXlfjm99oa7sUNBAznimbZBbLs0Oa3eQl5jx149yXNuYKdrxMt9k68Z5xdvpQlh6X27Yyp0bo7pCl7RWUqukPZIeHqtQzk1kcy9UyW3U8k4lcNP88ouHzIznP8rRPD3z2abKxbzRmZABri/RJ10KS/aXF7nZ6eLyua/QJWWBR4E1QAfwlqSNZrZrrMI554oLKzLLF1gjrLK9ukLXx/lTxYrZ5e8jlLq6d3EZzRX6KmCPmf3PzE4CTwK3j00s59xoZSSum1O5peyiGZmK4/ru/DCagn4p0F5w3JGec845VwXjPstF0gOStkra2tPTM94v55xzE9ZoCvo+YEHBcVN67gxm9piZrTSzlY2NjaN4Oeecc+WMpqC/BSyRtFDSJOAuYOPYxHLOOXe2PvcsFzMblPRD4EUgCzxuZjvHLJlzzrmzMqqFRWb2AvDCGGVxzjk3Cr703znnaoQXdOecqxFe0J1zrkZ4QXfOuRrhBd0552qEF3TnnKsRXtCdc65GKL9B7Dl5MakH+OicveDIzAY+qXaICmLPGHs+8IxjIfZ8EH/Gz5vvcjOr2DvlnBb0GEnaamYrq52jnNgzxp4PPONYiD0fxJ9xvPP5kItzztUIL+jOOVcjvKDDY9UOMAKxZ4w9H3jGsRB7Pog/47jmm/Bj6M45Vyv8Ct0552rEhC7oktZKapW0R9LD1c4DIOlxSd2SdhScu0jSJkm70+8NVcy3QNIWSbsk7ZT0YEwZJV0g6d+S3k3z/SymfEOyZiW9I+m5GDNK2ivpv5K2S9oaW0ZJsyQ9Jel9Se9JWh1ZvmXpe5f/OiLpofHMOGELuqQs8CiwDmgB7pbUUt1UAPwOWDvk3MPAZjNbAmxOj6tlEPiRmbUA1wM/SN+3WDIOADeb2XJgBbBW0vUR5Sv0IPBewXGMGb9uZisKptrFlPGXwN/M7ApgOeG9jCafmbWm790K4FrgOPDMuGY0swn5BawGXiw4fgR4pNq50izNwI6C41ZgXvp4HtBa7YwF2Z4F1sSYEbgQeBv4cmz5CHvwbgZuBp6L8c8Z2AvMHnIuiozATKCN9D5gbPmK5P0m8Pp4Z5ywV+jApUB7wXFHei5Gl5jZgfRxJ3BJNcPkSWoGrgb+RUQZ06GM7UA3sMnMosqX+gXwYyApOBdbRgNekrRN0gPpuVgyLgR6gN+mw1a/ljQ1onxD3QU8kT4et4wTuaCflyz8WK/61CRJ04A/Aw+Z2ZHC56qd0cxyFj7mNgGrJH1xyPNVzSfpNqDbzLaV+jXVzpi6IX0f1xGG1m4sfLLKGeuAa4BfmdnVwDGGDF1E8h4iaRKwAfjT0OfGOuNELuj7gAUFx03puRh1SZoHkH7vrmYYSfWEYv4HM3s6PR1VRgAz6wW2EO5JxJTvq8AGSXuBJ4GbJf2euDJiZvvS792Esd9VxJOxA+hIP30BPEUo8LHkK7QOeNvMutLjccs4kQv6W8ASSQvTn6B3ARurnKmUjcB96eP7COPWVSFJwG+A98zs5wVPRZFRUqOkWenjKYTx/fdjyQdgZo+YWZOZNRP+3r1sZvcQUUZJUyVNzz8mjAHvIJKMZtYJtEtalp66BdhFJPmGuJvTwy0wnhmrfbOgyjcq1gMfAB8CP6l2njTTE8AB4BThKuS7wMWEG2i7gZeAi6qY7wbCR8T/ANvTr/WxZASuAt5J8+0AfpqejyJfkbw3cfqmaDQZgUXAu+nXzvy/j8gyrgC2pn/WfwEaYsqXZpwKHARmFpwbt4y+UtQ552rERB5ycc65muIF3TnnaoQXdOecqxFe0J1zrkZ4QXfOuRrhBd0552qEF3TnnKsRXtCdc65G/B+2+vF+H3jNrAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3302500ef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6,6))\n",
"mp = MatchPlot(plt.gca())\n",
"cur = des.current.numpy()\n",
"mp.plot_warp(cur[0], cur[1])\n",
"plt.axis('equal')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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