From ab5816e6753e273314a42ed1f2b26ce19934f721 Mon Sep 17 00:00:00 2001 From: Maja Warlich <maja@warlich.name> Date: Thu, 30 Sep 2021 18:04:40 +0200 Subject: [PATCH] test_sparse_lbm funktioniert, ohne periodicity --- lbmpy/sparse/mapping.py | 3 + lbmpy_tests/test_sparse_lbm.ipynb | 275 ++++++------------ .../test_sparse_lbm_peridocity_only.ipynb | 34 ++- 3 files changed, 118 insertions(+), 194 deletions(-) diff --git a/lbmpy/sparse/mapping.py b/lbmpy/sparse/mapping.py index 0fd63ce..101ad90 100644 --- a/lbmpy/sparse/mapping.py +++ b/lbmpy/sparse/mapping.py @@ -141,8 +141,11 @@ class SparseLbMapper: if flag_arr[tuple(inv_neighbor_cell)] & fluid_boundary_mask: neighbor_cell_idx = self.cell_idx(tuple(inv_neighbor_cell)) result.append(pdf_index(neighbor_cell_idx, direction_idx, len(self))) + #print("write:", cell, "read:", inv_neighbor_cell, "direction:", direction_idx) elif flag_arr[tuple(inv_neighbor_cell)] & no_slip_flag: # no-slip before periodicity! + #print("no_slip") result.append(pdf_index(own_cell_idx, inverse_idx(stencil, direction_idx), len(self))) + #print("write:", cell, "read:", cell, "direction:", inverse_idx(stencil, direction_idx)) else: #This is where we end up if inv_neighbor_cell is not fluid/no_slip/at the border; at_border = False diff --git a/lbmpy_tests/test_sparse_lbm.ipynb b/lbmpy_tests/test_sparse_lbm.ipynb index 2f8aa80..be28288 100644 --- a/lbmpy_tests/test_sparse_lbm.ipynb +++ b/lbmpy_tests/test_sparse_lbm.ipynb @@ -32,6 +32,8 @@ "from pystencils.field import FieldType\n", "import pycuda.gpuarray as gpuarray\n", "\n", + "from IPython.core.interactiveshell import InteractiveShell\n", + "InteractiveShell.ast_node_interactivity = \"all\"\n", "import pystencils as ps" ] }, @@ -48,7 +50,7 @@ "metadata": {}, "outputs": [], "source": [ - "domain_size = (100, 30)\n", + "domain_size = (20, 20)\n", "omega = 1.8\n", "target = 'cpu'\n", "\n", @@ -88,45 +90,6 @@ "cell_type": "code", "execution_count": 5, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "<matplotlib.quiver.Quiver at 0x7f2adc051bb0>" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": "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\n", - "text/plain": [ - "<Figure size 1152x432 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "velocity_magnitude = 0.05\n", - "shape = dh.cpu_arrays[velField.name].shape\n", - "\n", - "dh.cpu_arrays[velField.name][:, :, 0] = velocity_magnitude\n", - "dh.cpu_arrays[velField.name][:, shape[1]//3 : shape[1]//3*2, 0]= -velocity_magnitude\n", - "\n", - "dh.cpu_arrays[velField.name][:, :, 1] = 0.1 * velocity_magnitude * np.random.rand(shape[0], shape[1])\n", - "plt.vector_field(dh.cpu_arrays[velField.name], step=4)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, "outputs": [ { "data": { @@ -147,7 +110,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -160,7 +123,7 @@ "(1, -1)" ] }, - "execution_count": 7, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -171,12 +134,12 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "<Figure size 1152x432 with 2 Axes>" ] @@ -198,16 +161,16 @@ "flag_arr = np.zeros(arr_size, dtype=np.uint16)\n", "flag_arr.fill(flags['fluid'])\n", "\n", - "if channel:\n", - " flag_arr[0, :] = 0\n", - " flag_arr[-1, :] = 0 \n", - " flag_arr[:, 0] = flags[noslip]\n", - " flag_arr[:, -1] = flags[noslip]\n", + "#if channel:\n", + "# flag_arr[0, :] = 0\n", + "# flag_arr[-1, :] = 0 \n", + "# flag_arr[:, 0] = flags[noslip]\n", + "# flag_arr[:, -1] = flags[noslip]\n", "#else:\n", + "# flag_arr[:, -1] = flags[ubb]\n", "# flag_arr[:, 0] = flags[noslip]\n", "# flag_arr[0, :] = flags[noslip]\n", "# flag_arr[-1, :] = flags[noslip]\n", - "# flag_arr[:, -1] = flags[noslip]\n", "\n", "plt.scalar_field(flag_arr)\n", "plt.colorbar();" @@ -222,26 +185,9 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 8, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[1., 1.],\n", - " [1., 1.],\n", - " [1., 1.],\n", - " ...,\n", - " [1., 1.],\n", - " [1., 1.],\n", - " [1., 1.]])" - ] - }, - "execution_count": 41, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "mapping = SparseLbMapper(method.stencil, domain_size, flag_arr, flags['fluid'], flags[noslip], 0)\n", "index_arr = mapping.create_index_array(ghost_layers)\n", @@ -253,12 +199,12 @@ "pdf_arr = np.empty((len(mapping), len(method.stencil)), order='f')\n", "pdf_arr_tmp = np.empty_like(pdf_arr)\n", "\n", - "vel_arr = np.ones([mapping.num_fluid_cells, method.dim], order='f')\n" + "vel_arr = np.ones([mapping.num_fluid_cells, method.dim], order='f')" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -280,84 +226,12 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 10, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[ 0.00000000e+00 -1.04083409e-17]\n", - " [ 0.00000000e+00 -1.04083409e-17]\n", - " [ 0.00000000e+00 -1.04083409e-17]\n", - " ...\n", - " [ 0.00000000e+00 -1.04083409e-17]\n", - " [ 0.00000000e+00 -1.04083409e-17]\n", - " [ 0.00000000e+00 -1.04083409e-17]]\n" - ] - }, - { - "data": { - "text/plain": [ - "array([[[ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " ...,\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17]],\n", - "\n", - " [[ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " ...,\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17]],\n", - "\n", - " [[ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " ...,\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17]],\n", - "\n", - " ...,\n", - "\n", - " [[ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " ...,\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17]],\n", - "\n", - " [[ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " ...,\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17]],\n", - "\n", - " [[ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " ...,\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17],\n", - " [ 0.00000000e+00, -1.04083409e-17]]])" - ] - }, - "execution_count": 44, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "cqc = method.conserved_quantity_computation\n", - "inp_eqs = cqc.equilibrium_input_equations_from_init_values() #init\n", + "inp_eqs = cqc.equilibrium_input_equations_from_init_values()\n", "setter_eqs = method.get_equilibrium(conserved_quantity_equations=inp_eqs)\n", "setter_eqs = setter_eqs.new_with_substitutions({sym: pdf_field(i)\n", " for i, sym in enumerate(method.post_collision_pdf_symbols)})\n", @@ -379,14 +253,10 @@ " full_velocity_arr.fill(np.nan)\n", " arr = fluid_cell_arr[:mapping.num_fluid_cells]\n", " full_velocity_arr[arr['x'], arr['y']] = vel_arr\n", - " #print(full_velocity_arr)\n", - " print(vel_arr)\n", - "\n", " if ghost_layers:\n", " return full_velocity_arr\n", " else:\n", - " return full_velocity_arr[1:-1, 1:-1]\n", - "get_velocity()" + " return full_velocity_arr[1:-1, 1:-1]" ] }, { @@ -398,7 +268,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -418,7 +288,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -436,37 +306,66 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/latex": [ + "$\\displaystyle \\left( _size_{f 0}, \\ 9\\right)$" + ], + "text/plain": [ + "(_size_f_0, 9)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/latex": [ + "$\\displaystyle \\left( 400, \\ 9\\right)$" + ], + "text/plain": [ + "(400, 9)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "if not channel:\n", " if target == 'gpu':\n", " raise NotImplementedError(\"UBB on GPU not working yet\")\n", " \n", - " ubb_mapper = SparseLbBoundaryMapper(ubb, method, pdf_field)\n", + " #ubb_mapper = SparseLbBoundaryMapper(ubb, method, pdf_field)\n", " #TODO the following line is wrong: kernel contains accesses to index_field and pdf_field which have \n", " #different size: a correct kernel comes out when by change the shape is taken from index field, \n", " # when taken from pdf field, a wrong kernel is generated\n", - " ubb_ast = ubb_mapper.get_kernel()\n", + " #ubb_ast = ubb_mapper.get_kernel()\n", " \n", - " # ps.show_code(ubb_ast)\n", + " #ps.show_code(ubb_ast)\n", + " \n", + " #ubb_kernel = ubb_ast.compile()\n", + " #ubb_idx_arr = ubb_mapper.create_index_arr(mapping, flags[ubb])\n", + " #def handle_ubb():\n", + " # ubb_kernel(f=pdf_arr[:mapping.num_fluid_cells], idx=ubb_idx_arr)\n", " \n", - " ubb_kernel = ubb_ast.compile()\n", - " ubb_idx_arr = ubb_mapper.create_index_arr(mapping, flags[ubb])\n", - " def handle_ubb():\n", - " ubb_kernel(f=pdf_arr[:mapping.num_fluid_cells], idx=ubb_idx_arr)\n", - " \n", " periodicity_mapper = SparseLbPeriodicityMapper(mapping, dh, pdf_field)\n", "\n", " def handle_periodicity():\n", " periodicity_mapper(pdf_arr)\n", + " \n", "else:\n", " def handle_ubb():\n", " pass\n", - " \n", - " def handle_periodicity():\n", - " pass" + "pdf_field.shape\n", + "pdf_arr.shape" ] }, { @@ -478,7 +377,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -502,33 +401,33 @@ " d=pdf_arr_tmp[:mapping.num_fluid_cells], \n", " idx=index_arr)\n", " pdf_arr_tmp, pdf_arr = pdf_arr, pdf_arr_tmp\n", - " handle_ubb()\n", + " \n", + " #handle_ubb()\n", "\n", - "def timeloop(steps=100):\n", + "def run(steps=100):\n", " for t in range(steps):\n", " time_step()\n", - " return get_velocity(ghost_layers=False)\n", - "\n" + " return get_velocity(ghost_layers=False)" ] }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.quiver.Quiver at 0x7f2ad0622550>" + "<matplotlib.quiver.Quiver at 0x7f15e8d33640>" ] }, - "execution_count": 27, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAA5gAAAFlCAYAAACOW0dTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOydd1gUV9uHz1KliCCI2BFF7L0be+yxRo0t9m7sGjXWGHs31mjsNdbYW+zR2I1dQVGxK3ZRWWCf7w8+d3yYXUTYOZMXf/d1zXW9vGTDHWf2ds8y+xwDEQkAAAAAAAAAACCp2OktAAAAAAAAAAAgeYAFJgAAAAAAAAAAm4AFJgAAAAAAAAAAm4AFJgAAAAAAAAAAm4AFJgAAAAAAAAAAm4AFJgAAAAAAAAAAm+Cgxb/Ux8eH/P39tfhXAwAAAAAAAADQkdOnT4cTURpL39Nkgenv7y9OnTqlxb8aAAAAAAAAAICOGAyG29a+h1tkAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYBCwwAQAAAAAAAADYhAQtMA0Gg6fBYFhnMBiuGgyGKwaDoZTWYgAAAAAAAAAA/rdwSOA/N10IsZOIGhoMBichhKuGTgAAAAAAAAAA/gf55G8wDQaDhxCinBBigRBCEJGRiF5oLaYFCxcuFI8fP9bVwWg0irlz54qIiAhdPe7evStWrVoloqOjdfU4efKk2Lt3ryAiXT22b98uzp8/r6uDEEKsWLFC3LlzR1cHIhJz584VL17o+zR/+fKlWLBggYiMjNTV48qVK2Lz5s3CZDLp6nHgwAFx7NgxXR2EEGL9+vUiJCREbw30/CPQcw56roCec9BzDnqugJ7bGCKK9xBCFBRCnBBCLBZCnBVC/C6EcLPwz3UUQpwSQpzKnDkz/dc4deoUCSHIxcWFfvjhB7p165YuHosWLSIhBHl7e9PIkSPp6dOnunj06tWLhBAUEBBAc+fOpXfv3uniUalSJRJCULFixWjDhg0UExMj3eH9+/eULl06EkJQrVq16O+//5buQER08+ZNsre3J0dHR2rTpg1dvXpVF4/t27eTEII8PDxowIAB9ODBA108xo4dS0IIypAhA02ePJlev36ti0fTpk1JCEF58uShZcuWkdFolO4QExNDefLkISEEVahQgXbt2kUmk0m6x7Nnz8jd3Z3s7OyocePGdObMGekOROh5XNBzBfScg55z0HMF9JyDnn8+QohTZG39aO0bpCwciwohooUQJf7/6+lCiF/ie0yRIkVk/vcliEaNGpEQwnwULVpUukNMTAzlzJmTebRt21a6R3h4OLm6ujKP6dOnS/c4fvw4cxBC0IEDB6R7zJ8/nzk4OjrSw4cPpXv88MMPzCNLliwUHR0t3aNcuXLMo1atWtId3r59S2nTpmUeP/30k3SPGzdukJ2dHfNYvXq1dI/NmzerniuXL1+W7jFq1CjmkCpVKoqIiJDugZ4roOcc9JyDniug5xz0XAE9TxxJXWD6CSFuffR1WSHEtvge819bYF67do0MBgM7YatWrZLusWHDBlVULl68KN1j+PDhzMHLy4tevXol3aN+/frMo0iRItLfxYuOjqbAwEDm0aZNG6kORESPHj2iFClSMI9p06ZJ9zhy5IjqGt23b590j9mzZzMHJycnunfvnnSPzp07q14kyn7H22QyUalSpZhHzZo1pToQEUVERJCPjw/zGDhwoHQP9JyDniug5xz0nIOeK6DnHPQ8cSRpgRn7eHFYCBH0//97hBBiYnz//H9tgdm+fXt2wrJly0ZRUVFSHUwmExUvXpx51KlTR6oDEdHr168pderUzGPo0KHSPS5fvqx6Mq9bt066x5o1a5iDwWCgK1euSPcYPHgw8/D29qY3b95I96hduzbzKFGihPQXiVFRUZQ1a1bm0bFjR6kOREQPHjwgZ2dn5jFz5kzpHgcPHlQ9Vw4fPizdY8aMGczB2dlZl98MoecK6DkHPeeg5wroOQc9V0DPE48tFpgFReznK88LIf4UQnjF98//lxaYd+/eJUdHR3bC5s6dK91j7969qqgcPXpUuseUKVOYg4uLCz1+/Fi6R+vWrZlHjhw5pN8+ZDKZqFChQsyjQYMGUh2IiF6+fEmpUqViHj///LN0jwsXLqiu0Y0bN0r3WLFiBXOws7OjkJAQ6R4DBgxgHmnSpNHl9qHq1aszjzJlykh3MBqNlDlzZubRpUsX6R7oOQc9V0DPOeg5Bz1XQM856HniSfIC83OP/9ICs2/fvuyE+fn56fKB2SpVqjCP8uXLS3eIjIykDBkyMI8ePXpI9wgLCyMHBwfmsWDBAukeu3btUkXlxIkT0j0mTJjAHNzc3HT5cHmLFi2YR65cuaQP6TCZTJQvXz7m8d1330l1ICJ68eIFeXh4MI/Ro0dL9zh79qzqGt26dat0j6VLlzIHe3t7Cg0Nle6Bniug5xz0nIOeK6DnHPScg54nni92gfn06VNyc3NjJ2z8+PHSPT5MyPr42LFjh3SPBQsWMAcHBwe6ffu2dI+ePXsyjwwZMlBkZKR0jwoVKjCPypUrS3d49+4d+fn5MY8+ffpI9wgNDSV7e3vmsXjxYuke27ZtUz1X9JhsN2bMGOaQMmVKev78uXSPJk2aMI98+fJJv8UtJiaGcufOzTyaNWsm1YEIPY8Les5BzxXQcw56roCec9DzpPHFLjBHjhzJTliqVKno5cuX0j0aNmzIPAoWLKjL8IOgoCDm0apVK6kORERPnjxRTciaMmWKdI9//vlHFZW//vpLusdvv/3GHBwdHenu3bvSPbp168Y8MmXKpMv49q+++op5VK9eXbrD27dvydfXl3n8+OOP0j1CQkJUEw9XrFgh3WPTpk2q58r58+ele6DnCug5Bz3noOcK6DkHPeeg50nji1xgvnnzhry9vdkJ02Ms9tWrV1UTsvQYi71u3TpVVC5duiTdY9iwYczBy8tLl/2w6tatyzyKFi2qS1SyZcvGPNq1ayfVgYjo4cOHqomHeozFPnz4sOoa1WObg1mzZjEHZ2dnun//vnSPTp06MY+sWbPqMvygZMmSzEOPbQ7Qcw56zkHPFdBzDnqugJ5z0POk80UuMKdPn85OVooUKejRo0fSPdq1a8c8smXLpsvwg6JFizKPevXqSXUgip2Q5eXlxTyGDRsm3ePSpUuqJ/P69eule6xevZo5GAwGXTbj/umnn5iHj4+PLsMPatWqxTxKliypy8RDf39/5tGpUyepDkRE9+/fJycnJ+Yxe/Zs6R4HDhxQPVf02LgePVdAzznoOQc9V0DPOeg5Bz1POl/cAjMyMpIyZcrETli3bt2ke9y5c0c1Ieu3336T7rFnzx5VVI4dOybdY/LkyczB1dWVnjx5It2jZcuWzCMoKEiX4QcFCxZkHg0bNpTqQGR54uHIkSOle5w7d051jW7atEm6x/Lly5mDnZ0dXb9+XbrHjz/+yDx8fX3p7du30j2qVavGPL766ivpDug5Bz3noOcK6DkHPeeg5wrouW344haYixcvZifL3t6ebt68Kd2jT58+zCNdunT0/v176R6VK1dmHhUrVpTu8P79e0qfPj3z6Nmzp3SPW7duqSYeLly4ULrHjh07VFE5deqUdI/x48czB3d3d3r27Jl0j2bNmjGP3Llz6/IiMW/evMyjSZMmUh2IiJ4/f04pU6ZkHmPHjpXucebMGdU1um3bNuke6DkHPVdAzznouQJ6zkHPOei5bfiiFpgxMTGUK1cudsJatGgh3SM8PFw1IWvChAnSPU6cOKGKyq5du6R7/P7778zBwcGBwsLCpHt0796deWTMmFGXiYfly5dnHlWqVJHuYGniYd++faV73LhxQzX8YOnSpdI9tmzZonqunD17VrrH6NGjmYOHhwe9ePFCukfjxo2ZR/78+XWZeIieK6DnHPRcAT3noOcc9FwBPbcdyXqBefDgQfb1xo0bVSfswoUL0j1+/vln5uDp6an5hKzw8HDVf2uDBg2YR+HChTWPyoULFyg8PNz8dXR0NOXIkYN5tG7dWlMHIqIjR46wD9E/fvyYXFxcmMfUqVM194h7bRw9elR1je7du1e6x9y5c5mDk5MT3bt3T1OHqKgoOnLkCPv/unbtyjyyZMmi+cTD0NBQ1QjwMmXKMI8aNWpo6kBEdPLkSfb5qLdv31KaNGmYx8CBAzX3OHjwIOtCcHCw6kXiypUrpXh8DHqOnn8APY/fAz1Hzz+Ansfv8SX33NYk6wVmtmzZaPv27UQUe0tE8eLF2QmrXbu25g6vXr0iDw8P8wf6LU3IGjx4sOYef//9NwUGBprfHbty5YpqQtaaNWs095g9ezZVrVrV/GHptWvXMgeDwUCXL1/W3KNTp07sHdwhQ4Ywj9SpU0uZeFiyZElasmSJ+es6deowj+LFi2seFZPJRKlTp6bjx48TUewLg4CAAObRvn17TR2IYke1+/n5mV/4WJp4OGPGDM091q9fT0WLFjVv6nzo0CHVX3xx/1LSgmHDhlHz5s3N53/mzJnMwdnZmR48eKC5R7169dg7uB06dGAeAQEBUiYeoucK6DkHPVdAzznoOQc9V0DPtSXZLjDfv39PBoOBvLy86MaNG7Rv3z5VVI4ePaq5x+nTp0mI2M8ZvHr1iqZNm8YcXFxc6PHjx5p7LFy4kIQQVKdOHYqJiaE2bdowj8DAQCkTsnr16mV+0ppMJipSpAjzqF+/vuYOREQVK1YkIQT98ccf9OrVK/L09GQeI0aMkOKROnVqSpEiBZ05c4YuXryoukY3bNigucPdu3dJiNhbyB49ekSrVq1SvUgMDg7W3OPDxtulS5emyMhIGjRoEPOQNfFw7Nix7EVYzZo1mUfp0qWlvJP4YePtX3/9lYxGI2XJkoV5dOnSRXMHIqLcuXOTnZ0d7d27l+7du6eaeDhnzhzNHdBzDnrOQc8V0HMOes5BzxXQc21JtgvMj+NeoEABqlChAjth5cqVk+KxcuVK889s0KABZcyYkXn88MMPUjwGDBhg/pldu3ZVDT+YP3++FI8aNWqYf2bPnj1VUfnwrqvWfBhC4ebmRu3bt2cObm5u7LYvrXjy5In5Z/r7+6v2a8uZM6eU4Qd79+41/8wKFSpQgQIFmEejRo00dyAimjJlivlntm7dmjw8PJjHL7/8IsWjdevW8V6jmzdvluJRqFAhEiL2M2xxN0e3s7OjGzduaO4QHR1tfgHi4+NDzZs3Zx5p06Y1/2ZAS9BzDnrOQc8V0HMOeq6AnnPQc21JtgvMDRs2qELy8bFjxw4pHiNGjLDqYG9vT7du3ZLiUb9+fase6dOnlzYhK+5m0x8flSpVkuLw+vXreK+N3r17S/E4cuRIvB6LFi2S4jFnzpx4PU6fPi3Fo3PnzlYdZE48LF26tFWPvHnzSnmRaDKZVIMGPj6aNWumuQNR7FCO+K6NcePGSfFAzznouQJ6zkHPOei5AnrOQc+1RcSzwHQQ/8MEBwdb/Z6bm5u4cOGCOHPmjDAajcJkMol+/foJDw8PqR5Zs2YVa9asEUajUURGRgp3d3fRt29fYW9vL9Uje/bsYvr06WaPbNmyidatW9vcwWg0ips3b1r9vq+vrxg/fryIjIwURqNRlC1bVlSrVs3mHiEhIZ/8Z8aOHSuMRqMwGo2icePGokCBAjb3iO+c2NvbiwcPHogxY8YIo9EooqKiRI8ePUTatGmlevj5+Ym9e/eKHTt2CKPRKBwcHMSPP/4onJ2dpXoEBgaK+fPnm89J2rRpRdeuXYXBYJDqkSVLFjFx4kSzR8GCBcW3335rc4cHDx6IiIgIq993c3MT48aNM3vUqFFDlClTxuYe8f1ZCCFEREQEe660a9dOBAQESPVAzznouRr0PBb0nIOec9BzhS+t59KxtvJMyiHrN5ht27aN9x2Sjw8t31ksWrRoghxSpEhBf//9tyYO0dHR5OzsnCCP9OnTqyau2YorV64k+JwUL16c3rx5o4nH6tWrE+zRvHlzzd7hjPuZlPiO8ePHa+JARFSrVq0EOdjb29OWLVs084h7e4q1w9PTky5evKiJw9OnTxN8ToKCgjTbPH7//v0J9qhWrZpmkxinT5+eYI/evXtr9lkm9FwBPeeg5xz0XAE956DnHPRcW0RyvUU27hhqa8eYMWM0czCZTKpNdC0ddnZ29Oeff2rmERoamqA/i1SpUtH58+c18/jzzz8T5BEYGKjpB6vjjqG2dlSpUkXTfdPijqG2dvTs2VPTIQTZs2dPkMfvv/+umcObN28SHPrDhw9r5vHPP/8kyCNdunSabgAdd1sBa0fRokU1nY4Zd1sBa0eTJk00vdUMPVdAzznoOQc9V0DPOei5AnquPSK5LjDj7i9k6ejWrZumoX/w4EGCLpzffvtNMwciop07d37SwcnJiQ4cOKCpx4QJEz7p4efnR6GhoZp6xP1gu6WjcOHC9OrVK0098ubN+0mPxo0baxr6yMhIsre3/6THyJEjNXMgIjp79myCQq/1FMYlS5Z80sPDw4P+/fdfTT369OnzSY/s2bPTo0ePNPX4+uuvP+lRqVIlzT8jgp4roOcc9FwBPeeg5xz0XAE91x6RHBeYz549++QJ+/bbbzUf+3vw4MFPegwfPlxTByKiX3/9NV4Hg8FAa9eu1dwj7nS/uEfKlCnpzJkzmnsUK1YsXo+AgAB6+PChpg4xMTGfvC2iQoUKmof+6tWrn7xGO3furPkY9z/++OOTHjLGpw8ePPiTod+3b5/mHt988028Hr6+vnT9+nXNPTJnzhyvR4ECBTTfhBo956DnHPRcAT3noOcc9FwBPdcekRwXmMeOHYv3hJUrV07KKOZ58+bF69GhQwcp+y/FHYkd95Cx2TERUdmyZa06ODo60l9//aW5g8lkUo1L//hIkyaNlD3Cbt68Ge85yZ8/v3nTXS3ZtGlTvB716tWTsv/SyJEj4/UYOnSo5g5ERA0bNow39H/88YcUj8DAQKse7u7udOrUKc0dIiIi4j0n/v7+dP/+fc090HMOeq6AnnPQcw56roCec9Bz7RHJcYG5dOlSqycrb9689Pz5c80diIj69etn1aNOnToUFRUlxaNKlSpWPQYNGiTFgYgobdq0Vj1WrlwpxeHhw4dWHVxdXenEiRNSPHbt2mXVI0uWLHTv3j0pHhMnTrTqUaZMGXr79q0UjxYtWlj1aNeunZTQExHlz5/fqse0adOkOBiNRqu3uTk4ONDu3buleJw7d87qn4W3tzddu3ZNigd6zkHPFdBzDnrOQc8V0HMOeq49IjkuMIcMGWLxZGXKlInu3Lmj+c//QJ06dSx6lCpViiIiIqR5ZMmSxaJHq1atpIX+xYsXVp9EU6ZMkeJARHTo0CGroZe19xIR0YwZMyx6pE6dmq5cuSLNo0OHDhY9cufOTU+fPpXmUbx4cYse33zzjbTQx8TEkIuLi0WPH3/8UYoDEdG1a9esPleWLVsmzWPt2rVWX7gfO3ZMmgd6zkHPFdBzDnqugJ5z0HMOeq49IjkuMBs3bqw6WV5eXnTp0iXNf/bH5MyZU+WRM2dOCg8Pl+bw9u1bMhgMKo8aNWpoNgrbEidPnrT4JOrbt680ByKi33//3aLHkiVLpHp0795d5eDi4kJHjx6V6lG+fHmVR4YMGSgsLEyag8lkIk9PT5VHyZIlpYY+LCzM4rXx/fffS9mM+wNbtmyx6DFx4kRpDkREo0ePVjnY29vT1q1bpXqg5wroOQc956DnCug5Bz3noOfakywXmAUKFGAnS8s9bKwRFRVFjo6OzCN9+vR069YtqR7nz59XXbzFihXTbE8yayxfvlzl0axZM6mhJyLq37+/ymPs2LFSHYiIqlatyhzs7Oxo8+bN0j38/PyYh6enJ124cEGqw6NHj1TnJEeOHJrtSWaNPXv2qDyqVq0qPfSTJk1SefTq1Uv6u5ktW7ZUeSxcuFCqAxF6/jHoOQc956DnCug5Bz1XQM/lkOwWmDExMeTq6spCv3HjRk1/piVCQkLYRePh4UHnzp2T7rFu3TrmkT17dk33JLPGsGHDmMfXX3+t6Z5k1qhbty7z6N69uy63Ifj7+zOP+fPnS3d4+fIlc3B2dqaDBw9K9zh8+DDz8PPz03RPMmvMmjWLeRQpUkTzrQ0s0bFjR+bx3XffSX/hTkRUsmRJ5jFq1CjpDug5Bz3noOcK6DkHPeeg5wrouRyS3QLzzp077ITNnTtX059njW3btpkdnJycaP/+/bp4jBkzxuyRNm1aunHjhi4eTZo0MXsUKlRI81HY1siVK5fZo1GjRlIm6sXl3bt37LYIrfcks8apU6fMDgaDgdavX6+Lx4IFC1jotd6TzBo9e/Y0e2TLlk3zrQ2sUaFCBbOHjD3JrJE6dWqzR9euXXV54Y6ec9BzDnqugJ5z0HMOeq6Anssh2S0w9+7daz5hw4YN0/RnxcfUqVPNoV+zZo1uHq1btyYhYkdhy9iTzBqFCxcmIQRlzZqVHjx4oItDdHS0+baI8uXLSxmFbYmLFy+ar9FOnTrp9kHulStXmj1mzZqliwMR0YABA0iI2K0N9u7dq5tHjRo1SIjYrQ1k7ElmjfTp05MQcvYks0Z4eLj52mjQoIEuL9yJ0PO4oOcK6DkHPeeg5wroOQc9l0OyW2DOnj2bhBDUvn17XScwde7cmYQQ9Ouvv+rmQERUqlQpcnR0lDYK2xImk4nc3d3Jx8dHyp5k1rh+/ToJIShfvnzSRmFbYv369SSEvD3JrDF8+HASQtDgwYN1cyAiqlevHgkhaPXq1bp6BAQEkJubG508eVI3h1evXpEQsVsbyNiTzBpHjhwhIQSVLVtWtxfuROh5XNBzBfScg55z0HMF9JyDnssh2S0we/XqRbVr15Y2CtsalSpVooEDB+rqQETk4+NDK1as0NXh3r175OrqSsePH9fVY/v27ZQ5c2a6e/eurh5jx46VuieZNZo2bUpt27bVfRR27ty5pe1JZo3379+Ts7Mz7dy5U1eP06dPk7e3N129elVXj0WLFlGePHno2bNnunqg5xz0XAE956DnCug5Bz3noOdyiG+BaSf+B/Hx8RGrV68WDg4OCX4MEYlevXqJo0eP2syjVKlSYsyYMZ/1mFevXomuXbuKa9eu2cTh6dOnYtCgQaJZs2af9bgLFy6IQYMGiUePHtnEIzQ0VKxbt04UL178sx63efNmMXXqVPHmzRubeDx9+lTs3LlTZMiQ4bMeN2vWLLFixQoRHR1tEw9HR0exefNm4eLi8lmPGzx4sNizZ0/suz82IEeOHOK3334TBoMhwY+JiooS3bp1E//++69NHGJiYsS3334revbs+VmPu3v3rujZs6cICwuzicfNmzfF/PnzRbVq1T7rcYcOHRKjRo0Sz58/t4nHvXv3xLZt20RQUNBnPW7ZsmVi3rx5IjIy0iYe7969Ezt37hReXl6f9bhx48aJP//8U5hMJpt4oOcK6DkHPeeg5wroOQc956Dn/wGsrTyTcmj9G8zEvDOyY8cO833hZcuWpe3bt+viMX78ePN94d9++y2dOnVKugMRUbNmzUiI2Cl0Xbp0odDQUOkeJpOJ8uXLR0LEblY9fPjwJG8UnRiP58+fU8qUKUkIQf7+/jRr1qwk32KSGI/Tp0+br9EiRYrQ2rVrkzyJLjEeixcvNntUr149yVMKo6OjE/Xf0bt3bxIidkP1li1b0uXLl5PkkdjnSuXKlc2foejXr1+Sb4NKjMf79+/Nn/NJly4dTZgwIcnTEhPjcfv2bXJwcCAhBOXKlYsWL16c5C0B0POkORCh5x+DnnPQcw56roCec5Jrz7VEJLdbZBND3M2Jq1SpIt3h3bt3qj2sZG9aTUR048YNsrOzYx5Lly6V7rF161bmIITQZRpd3M2JPTw86MWLF9I94m5OXKBAAem3QsXExLCpjUIIatGihVQHotiBBW5ubsxD9qbVREQnTpxQXaO7du2S7hF3s3lHR0epG6t/oEePHswjY8aMumxdgZ4roOcc9FwBPeeg5xz0XAE9Txxf/ALz6NGjqqjs27dPusfcuXOZg5OTE927d0+6R5cuXZhHlixZpG9MTERUpkwZ5lGzZk3pDhEREZQmTRrmocd9+8HBwaqorFq1SrrHxo0bVc8V2Zt4ExH9/PPPzMHT01OX/c0aNGjAPAoXLiz9RWJ0dDTlyJGDebRp00aqAxHR48ePycXFhXlMnTpVugd6zkHPFdBzDnrOQc8V0HMOep44vvgFZp06ddgJK168uPSoRGmW+kgAACAASURBVEVFUUBAAPNo3769VAcioocPH5KzszPzmDFjhnSPuBs1CyHo0KFD0j1mzpzJHJydnXUZyd+hQwfmERAQIP1D8iaTiYoXL848ateuLdWBiOjNmzfk7e3NPIYMGSLd48qVK2zvOyGELuPO165dyxwMBgNduXJFusfQoUOZR+rUqen169fSPdBzBfScg54roOcc9JyDniug54nni15gXrhwQfUX38aNG6V7rFq1ShUVPca/Dxw4kHmkSZOGIiIipHvUrFmTeZQuXVp6VIxGI2XJkoV5dOnSRaoDUezERicnJ+YxZ84c6R779u1TPVeOHj0q3WPatGnMwcXFhR4/fizdo02bNswjMDBQ+hYFJpOJihQpwjwaNGgg1YEodhS/p6cn8xgxYoR0D/Scg54roOcc9JyDniug5xz0PPF80QvM77//np2wXLlyJfmD9p+LyWSiAgUKMI9GjRpJdSAievHiBXl4eDCPUaNGSfc4d+6cKipbtmyR7rFs2TLmYGdnRzdu3JDu0a9fP+aRNm1aXfaxqlq1KvMoV66cdIfIyEjKmDEj8+jevbt0j7CwMPMG7x+O+fPnS/fYvXu36rly4sQJ6R6TJk1iDm5ubhQeHi7dAz1XQM856DkHPVdAzznouQJ6njS+2AXmzZs3yd7enp2wxYsXS/fYvn27KiqnT5+W7jF27FjmkDJlSl02r27atCnzyJs3r/SoxMTEUJ48eZhHs2bNpDoQET179ozc3d2Zx7hx46R7nDp1SnWN7tixQ7rHokWLmIODgwPdunVLukevXr2YR/r06en9+/fSPSpVqsQ8KleuLN3h44mHH47evXtL90DPOei5AnrOQc856LkCes5Bz5PGF7vA/OGHH9gJy5Qpky4TssqVK8c8qlatKt3h7du3lDZtWubRv39/6R6WJmQtX75cusfmzZtVUTl37px0j19++YU5pEqVil6+fCndo1GjRsyjYMGCukw8zJkzJ/No2bKlVAei2ImHrq6uzGPSpEnSPY4fP666Rvfs2SPdY/78+czB0dGR7ty5I90DPVdAzznoOQc9V0DPOeg5Bz1PGl/kAvPRo0eUIkUKdsKmT58u3ePIkSOqqOzfv1+6x+zZs5mDk5NTkvd/SgydO3dmHv7+/roMPyhVqhTzqFWrllQHotiJhz4+Psxj0KBB0j2uXbumGn6wevVq6R4bNmxQPVcuXrwo3WP48OHMwcvLS5eJh/Xr12ceRYsW1WXiYWBgIPNo27atVAci9Dwu6LkCes5BzznouQJ6zkHPk84XucAcPHgwO2He3t705s0b6R61a9dmHiVKlNBlQlbWrFmZR8eOHaU6EBE9ePBANSFr1qxZ0j0OHjyoisrhw4ele8yYMYM5pEiRgh4+fCjdo3379swjW7Zs/4mJh3Xr1pXqQET0+vVrSp06NfMYOnSodI/Lly+rrtF169ZJ91izZg1z0GviIXqugJ5z0HMOeq6AnnPQcw56nnS+uAXmy5cvKVWqVOyE/fzzz9I9/isTslasWMEc7OzsKCQkRLrHgAEDmEeaNGno7du30j2qV6/OPMqUKSPdwWg0UubMmZlH165dpXvcvXtXNfxg7ty50j327t2req78888/0j2mTJnCHPSaeNi6dWvmkSNHDl0mHhYqVIh56DHxED3noOcc9FwBPeeg5wroOQc9tw1f3AJzwoQJ7IS5ubnR06dPpXu0aNGCeeg1IStfvnzM47vvvpPqQGR5Qtbo0aOle5w9e1YVla1bt0r3WLp0KXOwt7en0NBQ6R59+/ZlHn5+frpMPKxSpQrzKF++vHSHyMhIypAhA/Po0aOHdI+wsDBycHBgHgsWLJDusWvXLtVzRY+Jh+i5AnrOQc856LkCes5BzznouW34ohaY7969Iz8/P3bC+vTpI93jvzIha9u2baqonDlzRrrHf2VCVpMmTZhHvnz5dBl+kDt3bubRvHlzqQ5ERE+fPlVNPBw/frx0D0sTD3fu3CndY+HChczBwcGBbt++Ld2jZ8+ezCNDhgy6DD+oWLEi89Bj4iF6zkHPOei5AnrOQc856LkCem47kvUCc8GCBewvlN9++42dLEdHR7p7964Uj4/p1q0b88iUKRMZjUZNHe7evasK+VdffcU8qlevrqkDEdHhw4fp2rVr5q/fvn1Lvr6+zOPHH3/U3GPdunX04sUL89chISGqiYcrVqzQ3GPx4sXsdphNmzaponL+/HnNPeJeoyNHjmQOMiYevnv3TvVn3rBhQ+ZRqFAhzV8knj9/no4fP27+Ojo6moKCgphHq1atNHUgih2R/vGH+Z88eaKaeDhlyhTNPZYvX85+03Hs2DHVNfrXX39p7oGeK6DnHPScg54roOcc9Fzt8TFfcs9tTbJeYKZPn55mzpxJRLFRyZYtGzth7dq109whPDyc7OzsaN++fUSk34SsvXv3kpeXl/nWnMOHD6uicuDAAc09pk6dSrlz56bXr18TkXpClrOzs5QJWa1bt6a6deuab3vo1KkT88iaNauU4QeFChUyDxYwmUxUsmRJ5vHNN99o7hAdHU1OTk60Zs0aIiJ68+YNeXt7M4+ffvpJc4+LFy+Si4sLnT17loiIrl69qpp4+Mcff2jusXLlSsqUKZP58zjr169XPVcuXbqkuceAAQOoTJky5ne0hw0bxhxSp05tfh5pSY0aNahDhw7mr+vVq8c8ZE08RM8V0HMOeq6AnnPQcw56roCea0uyXWC+fv2ahIi99eHIkSO0evVqdrIMBgN751Urjh49SkLEDjkICwujn376iXn4+PhQRESE5h5z5swhIWL3vHr79i3VqlWLeZQqVUpKVLp06UJCCGrcuDEZjUbVhKxOnTpp7kBEVLp0aRIi9rNB9+/fJycnJ+Yxe/ZszR1MJhO5ubmREII2bdpEBw4cUEXl77//1tzjxo0bJETs5x0uXbpE06dPZw4pUqSgR48eae7xYXR91qxZ6enTp9SuXTvmkT17dinDD0aMGEFCCKpUqRJFRUVR0aJFmUe9evU0dyBSRtd3796dXr9+TV5eXsxj+PDhUjw+/MX/+++/06VLl1TX6Pr16zV3QM856DkHPVdAzznoOQc9V0DPtSXZLjBPnz5tPjnp0qVTfQ6iYcOGUjwWLVrE3hmKOyFr5MiRUjx69epl/plff/21KiqbNm2S4lGpUiXzz4z7YX87Ozu6fv26FI8P7+gaDAbmJIQgX19fKRMP7969a/6ZHh4eVKxYMeZRtmxZzR2IYm/d+fAzc+TIQZkyZWIe3bp1k+Lx8We3ypUrp5p4OG/ePCkeTZs2tXqNCiHo2LFjUjw+blbc56yrqyuFh4dr7vD+/XvzrYZOTk5UtmxZ5hEUFCRl+AF6zkHPOei5AnrOQc8V0HMOeq4tyXaBuWrVKtVJ+vg4deqUFI9BgwZZdXB3d6dnz55J8ahZs6ZVjzx58kibkJUxY0arHk2aNJHiEB4eHu+1MXbsWCke+/bti9dj27ZtUjymTZtm1cHe3p5u3rwpxaNNmzZWPdKlS0fv37+X4lGkSBGrHhUrVpTi8OE2N2sevXr1kuJhaY+2j4+FCxdK8UDPOei5AnrOQc856LkCes5Bz7VFxLPAdBD/wwQHB1v9npubm5g2bZowGo3CaDQKV1dXMWfOHOHh4SHVw9PTU3Tv3t3s4e/vLyZPnizs7e2letjb24vvv//e7FGhQgXRu3dvmztERESIu3fvWv3+/fv3RbNmzcwebdu2FfXq1bO5R0hISLzfP378uGjatKnZ45dffhEFCxa0ucenzsmqVavE0qVLhdFoFPb29mLWrFnC19dXqoeXl5cYOnSo+c/Cx8dHzJw5Uzg7O0v1cHd3F+3atTN7FCxYUAwfPlwYDAabOhBRvB4RERGiWbNmIioqShiNRlG/fn3RunVrmzoIIURYWJgwGo1Wv3/lyhV2jfbr10+UL1/e5h7x/VkIIcSuXbvErl27hNFoFDExMWLq1KkiICBAqgd6zkHPOei5AnrOQc856LnCl9Zz6VhbeSblkPUbzObNm8f7DsmHw9nZmQ4ePKiZR9x9bKwdfn5+mu2NFRkZqRq7bO0oUqQIvXr1ShOPf//9N0EOQsR+pkerd22WLFmSYI9ffvlFEwcioj59+iTIwc7OTtNNfi3dkmHp8PDwoHPnzmnmkSZNmgR5ZM+eXbMNsR88eJDga6Ny5cqajZTfuXNngj1++OEHzT6fEXdfsvgOLW95Q88V0HMOes5BzxXQcw56zkHPtUUk11tk436Q29JhMBho3bp1mjnExMSoJlJZOlKmTKnp/jZXrlxJ0MUbEBBADx8+1Mzjjz/+SJBHxYoVNb19Ju4Hua0dXbp00fSD1XE/yG3tmDNnjmYORKT6jI6lw8nJyTxpTQuePXuWoD8LX19funHjhmYelgZzWDoKFiyo6Zj/uIM5rB0NGzbUdFBG3MEc1o4RI0Zo5kCEnn8Mes5BzznouQJ6zkHPFdBz7RHJcYFpMpnIw8Pjkyds1qxZmnrcunXrkw6Ojo6a7zlkaS+uuEeaNGkoJCREU49ffvnlkx4FChRg+5lpQdy9uCwdDRo00HzCXWBg4Cc9hg0bpqlDREREgkKv9Th5S3txxT3c3d3p9OnTmnrMmzfvkx5Zs2alBw8eaOoRdy8uS0f58uXZfmZaEHcIhKWjY8eOmr5wR8856DkHPVdAzznoOQc9V0DPtUckxwXmw4cPP3nCBg8erLnH7t27P+mxatUqzT0mTpwYr4ObmxudPHlSc4/vv/8+Xo8sWbJI2TMtf/788XqULVtW89AbjcZP3hbRvn17zUdTnzt37pPX6K+//qqpAxHR0qVLPxn63bt3a+7Rr1+/eD18fHykjE+3NO3w4yNfvnz0/PlzzT3Spk0br0fdunU1318QPeeg5xz0XAE956DnHPRcAT3XHpEcF5gHDx6M94S1adNGyp4yM2bMiNdjypQpmjsQEbVv396qg4ODA+3cuVOKR/Hixa16eHt709WrVzV3iImJIRcXF6seefLkkTI57OrVq/FeG7Vr15ayMfiaNWvi9RgwYIDmDkREgwcPjtdjxYoVUjxq165t1cHV1ZWOHz8uxSNz5sxWPTJnzkx3797V3OHFixfxnpPSpUtL2f4BPeeg5wroOQc956DnCug5Bz3XHpEcF5jz58+3esJq1qxJRqNRcwciou7du1v16NevnxQHIqJy5cpZ9Vi6dKkUB5PJRJ6enhYdXFxc6J9//pHicfv2bat/FhkzZqSwsDApHps3b7bqUbJkSSmb+xIRjRo1yqpHy5YtpW3u26hRI6sekyZNkuJARBQUFGTRwd7eXto2A2/fvrX6Z+Hl5UWXL1+W4nHixAmrHrly5aKnT59K8UDPOei5AnrOQc856LkCes5Bz7VHJMcFZv/+/S2erOLFi9ObN280//kfqFatmkWP5s2bS93Xxs/Pz6LH+PHjpTk8fvzYaui3bNkizWPPnj0WPTw9PenixYvSPCZNmmTRIygoSMqGyx9o2bKlRY9q1apJCz0RUYECBSx69OnTR5pDVFQUOTg4WPRYtGiRNI/z589bdEiRIgUdOXJEmsfy5csteqRPn55u374tzQM956DnCug5Bz1XQM856DkHPdeeZLnArFu3rupkBQYGajYK2xpZs2ZVeVSpUkWzUdiWePnypcWLt0ePHtLezSQi+vvvvy16/P7779IciIhmzZqlcnB2dqbDhw9L9ejYsaPKI126dHTr1i2pHiVLllR5FC1alF6/fi3NISYmhlxdXVUeTZs2lRr6kJAQi9fo6NGjpTkQEa1bt07lYGdnR5s2bZLqMWzYMJVHqlSp6Pz581I90HMF9JyDnnPQcwX0nIOec9Bz7UmWC8ycOXOyk6XlHjbWePfuHRkMBuZRuHBh6XvYnDx5UnXxarknmTUWLFig8tByTzJr9OjRQxX6DRs2SPcoX7488/Dw8KB///1XqoPJZCIvLy/mkS1bNnr06JFUj7CwMNW1UblyZU23NrDE1q1bVR7dunWTHvrRo0erPH777TepDkRE3333HXNwcnKiAwcOSPdAzxXQcw56roCec9BzDnqugJ7LIdktMKOiosjR0dF8srTew8YaFy9eZBeNXnvYrFixgnlUqFBBeuiJiAYMGMA8OnfurMs7NNWrV2ceWu9JZo106dKx0Gu5J5k1njx5wv4sfH196fr169I9/vrrL+ah9Z5k1pgyZQrz+PbbbzXf2sASrVq1Yh5a70lmjUKFCpkdDAYDrV27VroDes5BzznouQJ6zkHPOei5Anouh2S3wLx+/br5ZMnYw8YaGzZsMHukSZOGgoODdfEYPny42SN//vya70lmjfr165s96tWrp0voiYgCAgLMHkOHDtXF4dWrVyz0Wu9JZo0jR46YPdzd3enUqVO6eMyePdvsIWNPMmt07tzZ7FGuXDnNtzawRqlSpcweWu9JZg2TyURubm5mjxkzZkh3IELP44Kec9BzBfScg54roOcc9FwONllgCiHshRBnhRBbP/XPar3A3L59u/mEydjDxhrjxo0jIWJHYZ84cUI3j6ZNm5IQsXuS3bt3TzePPHnykBCCvvrqKymjsC3x/v17srOzIyEEtWvXTrd73E+fPm2+RqdPn66LAxHRokWLSIjYUdgy9iSzRq9evUgIeXuSWaNSpUokhKC8efNK2ZPMGt7e3iSEoDp16kjZ2sAS9+7dM1+jgwYN0sWBCD2PC3qugJ5z0HMOeq6AnnPQcznYaoHZRwix8r+wwJw6dSoJIW8PG2u0adOGHBwcaMeOHbp6FC5cmFKnTk1XrlzRzSE6OpqcnZ0pd+7cUvYks8alS5dICEHffPONbqEnIlq5ciUJIW9PMmsMHDiQhBC0bNkyXT1q1KhBrq6udOzYMV09MmTIQJkyZaI7d+7o5hAeHk5CxO5JJmtrA0vs27ePhBDUqlUrXYcNoOcc9FwBPeeg5xz0XAE956DncohvgWknEoDBYMgohKglhPg9If+81gQHB4t+/fqJ3r176+oREhIiFixYIKpXr66bAxGJu3fviq1bt4qcOXPq5hEWFiZ8fHzEzp07hZeXl24ewcHBomTJkuKPP/4QDg4Ounq0bNlSjB07VjeHDx4TJ04ULVq00NUjNDRUrF27VpQoUUI3hzdv3oh3796JnTt3iowZM+rmERwcLHLlyiW2bNkiXF1ddfWoUaOGmD9/vjAYDLp6oOexoOcc9FztgZ7Hgp6rPdBzBfT8P4C1lSfx316uE0IUEUJUEP+B32AuWrTosycwGY1GqlChAs2ePdtm9+kvXLjwsx9z7949Kl26NK1bt84mn2l5/PhxovYk27t3L9WoUYMOHTqUZAciouPHjydqT7KZM2dSq1atbLYR8aZNm+jJkyef/bju3btT//796f79+zbxWLp06WfvSWYymahWrVo0ceJEm006W7hw4We/m/ny5UsqU6YMLVmyxCb7qhmNxkS9437+/HkqX7487dixwybvyF69epX+/vvvz37c6tWrqWHDhjb7vNOePXsStSfZiBEjqGvXrnTz5k2beKxevTpRe5K1aNGCRowYYbO9/9BzBfScg55z0HMF9JyDnnPQczmIpNwiK4T4Rggx+///t9UFphCioxDilBDiVObMmTX9D0pMnJYsWWK+Lzxt2rQ0ceJEXTz69u1r9ggKCqI1a9ZIdyAi+vrrr80eZcqUSfJmwInxiIyMpIwZM5oHJ9SvX59CQkKke9y+fdu8WbOTkxN17NgxybeFJcZj586d5nPi6elJQ4YMSfIo68R4TJgwweyROXNmmj9/vnQHIqLmzZubPQoWLEg7d+6U7mEymSh//vxmjypVqiR5a4LEeDx//pxSpkxJQsRudN+8efMkf54jMR5nz541/1m4ublR7969k/z5PPQ8aQ5E6PnHoOcc9Jw/Bj1XQM85ybXnWpLUBeZYIcRdIcQtIcRDIcRbIcTy+B4jYx/MzyEmJoZy585tPmFCCGrevLl0j6dPn5K7uzvzGD9+vHQPS/vyJDX2iWHhwoXMwcHBIVHvBCaVnj17Mo8MGTLoMka6QoUKzOPrr7+W7vDu3Tvy8/NjHn369JHuERoaSvb29sxjyZIl0j22bdumeq7oMXJ9zJgxzCFlypS6DLVo0qQJ88ibN6/0z/ug5xz0nIOeK6DnHPScg54roOeJI0kLTOKLzQriP3CL7Ofy559/qk7Y+fPnpXuMHDmSOaRKlUqXvaO+/fZb5lGoUCHpUYmOjqagoCDm0apVK6kORLH7irm6ujKPyZMnS/f4559/VNeoHuO9f/vtN+bg6OioywCFrl27Mo/MmTPb5Pauz+Wrr75iHtWqVZPu8PbtW/L19WUeP/74o3SPkJAQ80TPD8fy5cule6DnHPRcAT3noOcc9FwBPeeg54nji15gmkwmKlGiBDth33zzjXSPN2/emEdZfzh++ukn6R5Xr14lg8HAPPTY02v9+vWqqNjqczufw7Bhw5iDl5cXvX79WrpH3bp1mUexYsV0eZGYLVs25tGuXTupDkREDx8+pBQpUjCPX3/9VbrH4cOHVdfogQMHpHvMmjWLOTg7O9vss2WfQ6dOnZiHv7+/9Mme6DkHPeeg5wroOQc956DnCuh54rHZAjOhx39pgbl//35VVBLzwfCkMn36dOaQIkUKevTokXSPtm3bMo/s2bNL30DbZDJR0aJFmUe9evWkOhDFbp7t5eXFPIYNGybd48Mo/o+P9evXS/dYvXo1czAYDHT16lXpHj/99BPz8PHx0WX8e61atZhHyZIlpb9IjIqKIn9/f+bRqVMnqQ5ERPfv3ycnJyfmMWvWLOke6DkHPVdAzznoOQc9V0DPOeh54vmiF5jVqlVjJ6xs2bLSHYxGI2XKlIl5dOvWTbrHnTt3yNHRkXnMmzdPusdff/2liooe+2lNnjyZObi6uiZqYmFSadmyJfMICgpK8jCIz8VkMlHBggWZR8OGDaU6EMVOPEyVKhXzGDlypHSPc+fOqa7RTZs2SfdYvnw5c7Czs6Pr169L9/jxxx+Zh6+vb5KHQSQG9FwBPeeg5wroOQc956DnCuh50vhiF5inT59WRWXbtm3SPRYvXswc7O3tbTaa+nPo3bs380iXLp0uww8qV67MPCpWrCjd4f3795Q+fXrm0bNnT+ket27dMk88/HAkZrx2UtmxY4fquWKrMe6fw/jx45mDu7u7Lhu9N2vWjHnkzp1blxeJefPmZR5NmjSR6kDEJx5+OMaMGSPdAz3noOcK6DkHPeeg5wroOQc9Txpf7AKzcePG7ITlz59flwlZuXLlYh4tWrSQ6kBEFB4eTm5ubszDFqOgP5cTJ06oorJr1y7pHr///jtzcHBwoLCwMOke3bt3Zx4ZM2akyMhI6R7ly5dnHlWqVJHuYGniYd++faV73LhxQzX8YOnSpdI9tmzZonquJHWkfmIYPXo0c/Dw8KAXL15I90DPFdBzDnrOQc8V0HMOeq6AniedL3KBGRwcrIrKypUrpXts3LhRFZULFy5I9xgxYgRz8PT0tNnmz59DgwYNmEfhwoV1GX4QGBjIPFq3bi3VgSh2E14XFxfmMXXqVOkeR48eVV2je/fule4xd+5c5uDk5JTkvcESQ5cuXZhHlixZdJl4WKZMGeZRo0YN6Q4RERGUJk0a5jFgwADpHug5Bz1XQM856DkHPVdAzznoedL5IheYHTp0YCcsICBAlwlZxYsXZx61a9eW6kAUOyErderUzGPIkCHSPa5cuaKakJXUjWwTw9q1a5mDwWDQZeLhkCFDmEfq1Kl1mXhYp04d5lG8eHFdhh8EBAQwj/bt20t1IIqdeOjs7Mw8ZsyYId3j0KFDqr/4Dh06JN1j5syZzMHZ2ZkePHgg3QM9V0DPOeg5Bz1XQM856LkCem4bvrgF5r1791QTsubMmSPdY9++faqoHDlyRLrH1KlTmYOLiws9fvxYukebNm2YR2BgoC4TDwsXLsw86tevL9WBKHbioaenJ/MYMWKEdI8LFy6ortENGzZI91i1apXqRWJwcLB0j4EDBzKPNGnS6DLxsGbNmsyjdOnS0l8kGo1GypIlC/Po3LmzVAci9Dwu6LkCes5BzznouQJ6zkHPbcMXt8Ds168fO2Fp06ald+/eSfeoWrUq8yhXrpx0h8jISMqYMSPz6N69u3SPsLAw1YSs+fPnS/fYvXu3KirHjx+X7jFp0iTm4OrqSuHh4dI9vv/+e+aRM2dOXYYfFChQgHk0atRIqgMR0YsXL8jDw4N5jBo1SrqHpYmHW7Zske6xbNky5mBnZ0c3btyQ7oGeK6DnHPScg54roOcc9JyDntuGZL3AjPsu0LNnz8jd3Z2dsHHjxkn3OHXqlCoq27dv19whrsfChQuZg4ODA926dUtzj7j06tWLeaRPn17zCVmWPCpWrMg8KlWqpKmDJQ9LEw979eol3ePmzZtkb2/PPBYtWiTdY/v27arnyunTp6U6EBGNHTuWOciYeGjJo2nTpswjb968mr9IjOsRExNDefLkYR5NmzbV1MGSB3qOnsfngZ4roOcc9FwBPUfPtSJZLzAHDhzIPrD9yy+/sBOWKlUqevnypaYOJpOJ+vfvz/6/Ro0aMY8CBQpofkvE9evX2a0GMTExFBQUxDxatmypqQNR7LS0AwcOmL8ODw8nV1dX5jFp0iTNPWbMmMHGTR87dkwVlT179mjuMWzYMHrz5o356/nz5zMHR0dHunPnjuYe/fv3Z9fgDz/8wDwyZcqk+cTDV69eqW4dK1euHPOoWrWqpg5EsYMw1q1bZ/767du3lDZtWuYR9zmtBUuWLKFz586Zv7Y08XD58uWae4wbN47tGbh582bVc+VjT61AzxXQcw56zkHPFdBzDnqugJ5rS7JeYHp7e5vfLYyIiCAfHx92wgYNGqS5w71790gIQQsWLCAiomvXrqmGH6xatUpzkx9iHAAAIABJREFUj+3bt5OjoyMdPXqUiIjWr1+visrFixc19xg3bhz5+vqa/5IdPnw4c/Dy8pIyIatp06ZUuHBh8wbC9erVYx5FihSR8jmI3LlzU9OmTclkMlmceNimTRvNHd6/f092dnY0duxYIiJ69OgRpUiRgnlMmzZNc48Pe199uEXoyJEjqmt03759mnssWrSI3N3dzcNAZs+ezRxkTTzs1asXZcuWzfzOeufOnZmHv7+/lOEHlSpVosqVK1NUVBSZTCYqVaoU86hZs6bmDkTo+ceg5xz0XAE956DnHPRcAT3XlmS7wAwPDzefmJUrV9Kvv/7KTlaKFCno4cOHmnvs37+fhIidyHXy5Elq374988iWLZuUqEybNo2EiL1d6cGDB1SsWDHmUbduXc0diIjatm1LQggqUaIEPX36VDUha+jQoVI8ihQpQkLEjqy/dOmS6sn88TueWhEdHW3+QPvUqVNpzZo1zMFgMNCVK1c097h8+TIJEfu5i927d9PgwYOZh7e3N3tXXis+DH9IlSoVhYSEUO3atZlHiRIlpLxIHDRoEAkhKCgoiJ49e0ZZs2ZlHh07dtTcgUgZ/lCzZk26d++eauLhrFmzpHh8+BzIgAED6ODBg6rnyuHDhzV3QM856DkHPVdAzznoOQc9V0DPtSXZLjA/3u/JxcVFtalv165dpXh8vN9TxowZVcMP5s6dK8Xj4/2esmXLporKP//8I8Xj4/2e4nrImpBlMpnYvf5xPXLkyCFl4uGNGzfMP9Pe3l41xa1BgwaaOxDx/Z5Sp05NqVKlYh4///yzFI+P93uKO8ZeCEEbN26U4vHx/n1xrw07OzsKCQmR4vHxz47r4evra/5tjZa8efOG/dy456VMmTKaOxCh53FBzxXQcw56zkHPFdBzDnquLSK5LjAXL16sOkkfxz80NFSKR58+fax6+Pn5SZuQVblyZaseFSpUkOJARKqNfD8+evToIcXh/v37Vh2EUG6X0JodO3bE63HixAkpHuPHj7fq4ObmRk+fPpXi0axZM6seuXLlkjbxMG/evFY9vvvuOykOkZGRqs/nfHyMGTNGisfZs2fjvUa3bt0qxQM956DnCug5Bz3noOcK6DkHPdcWEc8C0078DxMcHGz1ew4ODqJevXoiV65cIlu2bKJixYri1atX0j3ev38vihcvLnLmzCmyZs0qWrZsKWJiYqR7XLt2TeTLl08EBQUJf39/MXr0aE0cnj9/Lp48eWL1+1u3bhV58+YVgYGBIkuWLGLjxo2aeMT3ZyGEEJMnTxa5c+cW2bNnF4GBgeLff/+V7mFvby86dOhgvkaLFSsmHj16JN3DYDCIChUqiJw5c4qAgABRp04dERkZKd3jyZMnokCBAiIoKEhkzZpV9OnTJ/ZdMBtjMplESEiI1e8fPXpU5M2bV+TIkUP4+/uLefPm2dxBCCFCQ0OFyWSy+v3FixeLPHnyiMDAQBEQECAOHjyoicennis//fST+bmSL18+ERoaKt0DPeeg5xz0XAE956DnHPRc4UvruXSsrTyTcsj6DWbDhg3jfafmw+Hr60vXr1/XzCNHjhwJ8ihQoIBmE7MiIiIS5CCEoG+//Vaz24mOHz+eYI/hw4dr4kBENG/evAQ5GAwGWrt2rWYe3bp1S5BHypQp6cyZM5p5lC1bNkEeWbNmpQcPHmjiYDKZVPuSWTsqVKig2bYHt27dSvA12qlTJ80+Q7Rp06YEe8yePVsTByL1ZD9rh6OjI+3du1czD/RcAT3noOcc9FwBPeeg5xz0XFtEcr1FNl++fJ88WW5ubnTq1CnNHIxGIzk4OHzSI0uWLHT//n3NPP79998EXbzlypXT9JaApUuXJsijQ4cOmn74v2/fvgny+PXXXzVzICL6+uuvExR6rcfr+/r6ftLDx8eHgoODNXN48OBBgs5J/vz56cWLF5p57Nq1K0Ee9erV0zT0EyZMSJDHkCFDNHMgImrRokWCPFavXq2pB3qugJ5z0HMOeq6AnnPQcwX0XHtEclxgxsTEqMZyxz0cHBxo165dmnpcu3btkxeNt7c3Xb16VVOPuNPsLB158+al58+fa+oxZMiQT3rUqVNH86ldcafZWTpkjMjOnDnzJz1WrlypqcPz588/6eDq6qr554csTbOLe2TOnFnzcfIzZsz4pEeZMmU0H8gQd5qdpaNt27aaT2EsXrz4Jz203vIAPeeg5xz0XAE956DnHPRcAT3XHpEcF5i3b9/+5AlbtmyZ5h5btmyJ18HFxYWOHTumuceoUaPi9ciYMaOUzZ8bN24cr0epUqUoIiJCc4+4G9jGPVq1aqV56N++ffvJa3Ty5MmaOhARnThxIl4He3t72r59u+YecTckj3ukTp1ayoj/7t27x+uRK1cuKUMy4m5IHveoVauW5i/cTSYTeXp6xushY4Ny9JyDnnPQcwX0nIOeK6DnHPRce0RyXGDu2bMn3hM2YcIEzR2IiCZPnhxv6D9sQKw1LVu2tOrh5eVFly5dkuJRsGBBqx45c+ak8PBwzR2ioqLivS2ievXqZDQaNfc4f/58vNdo3759NXcgIlq+fHm8HosXL5bi0b9//3hD/2EDYq2pVq2aVY8MGTLQ7du3pXjEHdv+8VGiRAkp+9g9fvw43mujRYsWUiZBoucc9FwBPeeg5xz0XAE956Dn2iOS4wJz5syZVk9Yr169pGzuS0TUsWNHqx6yRqcTEZUoUcKiQ4oUKejvv/+W4hATE0Ourq4WPdKnT0+3bt2S4hEcHGz1nBQrVoxev34txWPt2rVWPZo1ayZthPvQoUOteowdO1aKAxFRnTp1LDrY2dnR5s2bpXn4+/tb9EiVKhVduHBBisPLly+tnpMcOXLQkydPpHgcPnzYqkfVqlUpMjJSigd6zkHPFdBzDnrOQc8V0HMOeq49IjkuMHv06GHxhH333XfSQk9EVKFCBYsev/zyizQHa7dF2NnZSdvomIjozp07Fv8sPDw86Ny5c9I8tm7datEje/bsUjYF/8Do0aMtenz99dfSQk9E9N1331n0+OGHH6SFnogoZ86cFj3mz58vzeHdu3dkMBhUDs7OznTw4EFpHidPnrT4Z+Hn50c3b96U5rFgwQKLHkWKFKFXr15J80DPFdBzDnrOQc8V0HMOes5Bz7UnWS4wq1evrjphFStW1GwUtjXSp0+v8ujSpYvU0D958sTik2jOnDnSHIiI9u7dq3JwcnKi/fv3S/WYMmWKysPX15du3Lgh1aNVq1Yqj0KFCmk2CtsahQoVUnk0bNhQ6ijsqKgocnR0VHn8/PPP0hyIiC5evKhyMBgMtG7dOqkeK1asUHmkTJmSzp49K9VjwIABKo+AgAB6+PChVA/0XAE956DnHPRcAT3noOcc9Fx7kuUCMyAggJ2sAgUKaDoK2xKvX79WXTQNGjSQvofNkSNHVB7Dhg2T6kBENGfOHFXo16xZI92jc+fOzMPd3Z1Onz4t3aNUqVLMQ8s9yaxhMpnIzc2NeZQvX176KOzr16+rrlEt9ySzxoYNG1Qes2bNkupARDR8+HDmoPWeZNaoX78+80iTJg2FhIRI90DPFdBzDnqugJ5z0HMOeq6Anssh2S0w379/T3Z2duaTpfUeNtY4ffo0u2jKli2ryx42CxcuZB7t27eXHnoiol69ejEPrfcks0bFihVZ6Hfv3q2LR+rUqc0eWu9JZo27d++yc5IvXz5dRmFv27aNeWi9J5k1xo4dyzwGDx4s3YGIqEmTJsxD6z3JrJE7d26zg5ubG508eVK6A3rOQc856LkCes5BzznouQJ6Lodkt8C8dOmS+WTJ2MPGGqtWrTJ75MmTh549e6aLx8CBA80etWvX1nwUtjVq1qxp9hgwYIAuDkREGTJkMHusWLFCF4fw8HCzg6urKx0/flwXj3379pk9MmfOTHfv3tXFY+rUqWYPGXuSWaNNmzZmjzZt2ugW+sKFC5s9pk6dqotDdHQ0OTk5kRCxe5Lt3LlTFw/0nIOec9BzBfScg54roOcc9FwOyW6BuXHjRhIidhT2P//8o+nPio+ff/6ZhIjdwyYsLEw3jwYNGpAQgkqWLCllTzJrZM+enYQQ1LJlS91C//FtEZMmTdLFgYjo6NGjJIS8PcmsMXfuXBIidhT25cuXdfPo0qULCSFvTzJrlClThoQQVLNmTSlbG1jCZDKRu7s7CSFnTzJrhIaGmp8rS5cu1c0DPeeg5wroOQc956DnCug5Bz2XQ7JbYI4bN07qHjbWaNasGXl6etLFixd19ciTJw8FBQVJ2ZPMGpGRkWRvb0/VqlXTLfRERGfOnCEhBPXp00c3ByKiRYsWkRDy9iSzRu/evSlFihR05MgRXT0qVaokdU8ya/j4+FDx4sWl7ElmjXv37pEQ8vYks8aOHTtICEHjx4/XzYEIPY8Leq6AnnPQcw56roCec9BzOcS3wLQT/4MEBweLefPmiW+++eazHhcZGWlTj7CwMLFlyxaRJ08e3TxiYmLE27dvxa5du4S3t/dnPS4qKspmHqGhoaJQoUJi3bp1wtHRMcGPi4yMjH2nw0YEBweLpk2biokTJ37W42x9bQQHB4sxY8aIVq1a6epx48YN8ccff4jSpUvr6vH48WOxc+dOkTlz5gQ/hohs6vHs2TPh5eUltm7dKtzc3BL8uKioKGEymWzmERwcLKpWrSoWLFgg7OwSnmAtrtEePXqI/v37f9bjtPBAz2NBzznoOQc9V0DP1R7ouQJ6/h/A2sozKYfWv8FMzHSuV69eUbp06ahz5850/fp13TwuXrxI3t7eNGzYMJtsvvvkyRP6999/P/txq1atIn9/f5o5c6ZNfm1/4cIFevTo0Wc/btCgQVS4cGFas2aNTYYEHD58OFGjsGvVqkXVqlWj/fv32+R2sL179372v8doNFL27Nnp+++/t9m7bom5Ru/du0fe3t7Ut29fm3zGx2g00qFDhz77cfv27SM/Pz8aP368TbYCCA0NpdDQ0M9+3LRp0yhnzpy0aNEim+x3d/z48UTtSdamTRv66quvaNu2bTa5Rvfv3//Z77ibTCYqVqwYNWjQgE6cOJFkByL0/GPQcw56rvb4XNBzDnqugJ5zkmvPtUQkt1tkE8OkSZPM96fb2dlRhw4ddPFo2bKl2cPFxYUmTpwo3cFkMlGBAgXMHmnSpNFlw9cXL16Qh4eH2SN79ux05swZ6R7nzp1jU75KliyZqBdXSWXZsmXMo379+rrcctO/f3+zg6OjIw0cOFC6AxFR1apVzR6pUqWihQsXSneIjIykTJkymT0yZswofR9AIqKwsDC271y+fPls9hfx57Bnzx52jVaqVEmXvwDRcwX0nIOec9BzBfScg55z0PPPJ74F5v/kLbKfS2RkpJgyZYr5a5PJJNzd3aV73L59W6xcudL89bt374SPj490j507d4pz586Zv37y5Mln3epiK+bOnStevXpl/vrRo0cia9as0j3GjRvHvn7z5o3082IymVQeLi4un3XLjS14/vy5mDNnjvnrqKgo4enpKdVBCCFOnz4tdu/ebf765cuXIl26dNI9Vq5cKe7cuWP++sGDB7pco1OmTGG3zDx9+lRkzJhRusfYsWNV/5+rq6tUB/Scg55z0HMF9JyDnnPQcwX0XAOsrTyTcvzXfoM5f/589i6No6Mj3blzR7pH9+7dmUfGjBltcovG51KuXDnmUbVqVekO7969o7Rp0zIPPSaw3bhxg+3ZJISgZcuWSffYvHkzcxBC0Llz56R7jBo1ijl4eHhI3yCZiKhRo0bMo2DBgtInWcbExFDOnDmZx/fffy/VgSh2iwRXV1fmocdEzePHj6uuUT32JETPOei5AnrOQc8V0HMOes5BzxOH+JJvkY2OjqbAwEB2wtq2bSvd4/Hjx+Ti4sI8pk2bJt3jyJEjqqjocYvInDlzmIOTk5Mum/F27tyZefj7+0vfp8hkMlGpUqWYR61ataQ6EBFFRESQj48P8xg0aJB0j2vXrpHBYGAeemxcvWHDBtVzRY+JdMOH/x97Zx0WVdo+4JfuEkFQARUbCxe7u7u7O9duRdfWNVfXzsVWsHXt7k5ExEAxUEEEZoB5fn/wMYeHM4MIvO/ZHz73dZ3rWj53Pu7lnLmdd5jzvFORg4ODQ7ru+ckoLVq0QB6//fab8BeJ1HMM9RxDPZegnmOo5xjquQT1PP380gvMnTt3opNlYGCgyMavkyZNQh6Ojo6KjNZu0qQJ8ihXrpzwqMTFxUG+fPmQR9++fYU6AAC8e/cOzMzMkMfy5cuFe5w9e1YWlfPnzwv3WLZsGXIwNzeHsLAw4R69e/dGHp6enoq8SCxbtizyaNq0qVAHgMR9ALNly4Y8Jk+eLNzj0aNHsmt0165dwj2o5xjquQT1HEM9l6CeY6jnGOp5+vllF5gajQa8vb3RCWvVqpVwj4iICLC3t0cevr6+wj3u378vi4q/v79wDz8/P+RgaGgIz549E+4xduxY5OHk5ATR0dHCPRo0aIA8KleuLNxBrVaDu7s78hg4cKBwjzdv3qDhB4wxWLVqlXCPkydPyp4rSmwavWjRIuRgYWGRKdPtfpbu3bsjj4IFC2bKlNCfgXqOoZ5jqOcS1HMM9RxDPZegnmeMX3aBeezYMdkJu379unCP+fPnIwcrKysIDw8X7tG5c2fkUbRoUeFT7TQaDZQoUQJ5tGvXTqgDgHziIWMMZs6cKdzj9u3bsmv04MGDwj02b96MHIyMjNI1Aj6jjBw5Enm4uLhATEyMcI86deogj2rVqgl3UKlUkDt3buQxdOhQ4R6vXr0CY2Nj5LF27VrhHtRzDPVcgnqOoZ5jqOcS1HMM9Txj/LILzOrVq6MTVrt2beEOsbGx4OrqijxGjBgh3CM4OBiMjIyQx6ZNm4R7HDp0SBYVJUbZz5o1CznY2NjAly9fhHu0b98eeRQvXlyR4QdFixZFHp06dRLqAAAQHh4O1tbWyGPu3LnCPW7cuCG7Ro8ePSrcY/369cjB2NgYXr58Kdxj2LBhyCNXrlzp2pswo1DPJajnGOq5BPUcQz3HUM8lqOcZ55dcYF6+fFkWlRMnTgj3WL16NXJQakLWoEGDkIe7uzuo1WrhHlWqVEEe9evXF+4QHR0Nzs7OyGPMmDHCPZ49eyabePjPP/8I9wgICJA9V+7duyfcY/r06cjBzs4uUzbk/llat26NPLy9vRUZflCoUCHk0a1bN6EOAIkbRaeceLhw4ULhHtRzDPVcgnqOoZ5jqOcS1HMM9Tzj/JILzGbNmqETVqZMGUWikj9/fuTRq1cvoQ4AAGFhYWBubo48li5dKtzjwoULsqicOXNGuMdff/2FHMzMzBSZeNivXz/kkTdvXkWGH5QvXx55NG7cWKgDAEBUVBQ4OjoijwkTJgj3ePLkiWzi4Y4dO4R77NmzR/ZcefTokXCPKVOmIAcHBwf49u2bcA/quQT1HEM9l6CeY6jnGOq5BPU8c/jlFpgPHz6UPZn37Nkj3GPHjh3IQakJWRMmTEAe2bNnh+/fvwv3aNy4MfKoUKGCIhMP8+TJgzz69esn1AEA4O3bt2Bqaoo8VqxYIdzjzJkzsufKhQsXhHssWbIEOZibm8P79++Fe/Tq1Qt55M+fX5HhBz4+PsijefPmQh0AEiceOjg4II8pU6YI96CeY6jnEtRzDPUcQz2XoJ5jqOeZwy+3wOzatSs6YYUKFVJk+EGpUqWQR+vWrYU6ACROyLKzs0MeM2bMEO5x7949WVQCAgKEe2zduhU5GBoaQlBQkHCPMWPGIA9nZ2dFJh7Wq1cPeVSpUkW4g1qtBjc3N+QxaNAg4R6vX7+WTTxcvXq1cI8TJ07InitXrlwR7rFw4ULkYGlpqcjEQ+q5BPUcQz3HUM8lqOcY6rkE9TzzyNILzJQRDwkJkU3IWr9+vXCPo0ePyqJy48YNrg5qtVr2ue25c+ciB2tra/j8+TNXD11/sXbq1Al5eHl5cY9KSg+NRgPFihVDHu3bt+fqoMvjy5cvYGNjgzxmz54t3OPWrVuya/TQoUPCPTZt2oQcjIyM4MWLF1wdYmJiZL9tGTFiBPJwdXXlPvxA13Oldu3ayKNGjRpcHXR5xMbGQs6cOZHHsGHDhHtQz6nn+jyo59TzJKjnqXtQz6nnvMjSC8x27dqhaXFDhgxBJyx37tygUqm4OsTHx0OTJk3QRy+qVauGPOrUqcPVASDxowfJJ2DFxMSAi4sL8hg1ahR3j23btsGGDRu0X+uakLV582buHlOmTEF7XR04cEAWlTt37nD36NGjB4SGhmq/njlzJnKwtbWFr1+/cvdo1qwZGhHftm1b5FGiRAnuH3H79OkTdOzYUft9EhISoEiRIsijc+fOXB0AAE6dOoUmGn769AmsrKyQx/z587l7LFmyBL0IvH79uuwaPX78OHePYcOGwePHj7Vfr127FjkYGxvDq1evuHtQzyWo5xjqOYZ6LkE9x1DPJajnfMmyC0yNRgPW1tbQuHFjSEhIgA8fPoCFhQU6YYsWLeLuERwcDIwxGD9+PAAAXLp0SRaVkydPcvfYt28fMMZg27ZtAADw999/IwdTU1P0FyMvfH19wczMDG7evAkAAAMHDkQeHh4eQiZktWzZEnLlygVhYWEAAFCpUiXk0aBBA+4OAACenp5QoUIFUKlUEB0dDU5OTshj7Nix3B2+ffsGjDHo2bMnaDQaCAwMlE089PPz4+6R9NxYsmQJAAD4+/vLniv379/n7vH333+DoaGhdnKdr68vcrC3t4fIyEjuHgMGDAB7e3vtx/patWqFPEqXLi3kvrZKlSpB4cKFITIyEuLj46FgwYLIo3v37twdqOcY6jmGei5BPcdQzzHUcwnqOV+y7ALz7du32pMzffp0mDRpEjph2bJlg6ioKO4eyX/dvnfvXmjatCnyKFu2rJCoJP263dLSEm7fvg358uVDHn369OHuACB9fMrDwwMePnwom5C1bNkyIR5JH5+qVq0anDp1ShaVc+fOcXdQqVTav/gHDhwIy5cvRw5mZmbw7t077h7JNwBftWoV9OnTB3nky5dPyMTDjRs3AmOJ76CePXsWypUrhzyaNGnC3QFA+viUo6MjPHr0SDbxcNKkSUI8atWqBYwl7pd38+ZN2cTDXbt2CfFIepHcqlUr2LlzJ3IwMDAQMvGQeo6hnmOo5xLUcwz1HEM9l6Ce8yXLLjBPnz6NnjQp9/eZNm2aEI/kE9NSfiwj6aIWQc+ePbXfM+U9IYaGhhAYGCjEI/nEtJQeTk5OQiZkxcfHg5mZmV6PihUrConKo0eP0PdNufF0//79uTsAAGzfvl37PU1MTGQTD1euXCnEY/z48XrPCWMMLl68KMSjUaNGej0sLCzgw4cPQjxy586t16NgwYJCJh5+/vwZfd+UHi1atODuAEA9Twn1XIJ6jqGeY6jnEtRzDPWcLyyVBaYx+39MYGCg9p8BgEVHR2u/trKyYoMHD2ZqtZqp1WqmUqmYjY0NMzU15erx/ft39GeFCxdmTZs2ZSqViqlUKqZWq5mDgwMzMjLi6vHt2zf0Z61bt2aenp4sNjaWqVQqFh8fzxwdHTPdAQBS9Rg2bBgzMzNj0dHRTK1WM8YYs7e3z3SP169fM5VKpddj3LhxLD4+Xnt9mJiYMGtr60z3SP6zYIyxqKgo7T8bGhqyUaNGaR3UajWztLRk5ubmXD3i4uLQn+XIkYN169ZNe32q1WpmZ2fHjI0zPw+pXRtVq1Zl5cuXZ7GxsVoPR0dHZmBgINSjd+/eLFu2bCwmJoap1Wqm0WiYg4NDpjt8//6dvXnzRq/H6NGjtV1Tq9XM0NCQ2draZrpHymtU13MlLi5Oe07MzMyYpaUlVw/qOfU8OdRz/R7Uc+p5cqjn+j1+9Z4LR9/KMyOHqN9gjhw5UvZuhL6jWrVq6Ib4zKROnTpp9ujbty+3d1qdnZ3T7PHXX39xcQgLC0uzg4mJCbfPvh87dizNHk5OTvDs2TMuHvPmzUuzR8mSJbkNh+jcuXOaPVq2bMntndbixYun2YPXHl1qtVo2pETfYWBgwG1j7jt37qT5Z2Ftba29By6z2bx5c5o98ubNy+0jgNRzDPVcgnqOoZ5LUM8x1HMM9ZwvLKt+RLZJkyZpOlnFixdHk6wyGw8PjzR5NGvWjNt9EV++fEnzxTtx4kQuDgAA586dS7NH0s3OPFi2bFmaHKysrOD69evcPHr37p0mDw8PD3j79i03j7Jly6bJo0qVKtxCn5CQILt/S9/Ru3dvbqF/+vRpmq/RpUuXcnEAANm9MfoOExMTrpMHU94bo+/Inj07PH36lJsH9VyCeo6hnmOo5xLUcwz1HEM95wvLqgvMlJOxdB3u7u7w5s0bbg7R0dGyG7l1HRUrVuS68fLVq1fTdPH26NGD670qa9asSZMH7+lhgwcP/qGDsbExHD16lKtHlSpVfujh6OgIT5484eag0Whkm/nqOry8vLjuwRQSEpKma6NJkyZcB1Ts378/TR68p0HOmDEjTR7//PMPV482bdr80MHS0hKuXr3K1YN6LkE9x1DPJajnGOo5hnouQT3nD8uKC0y1Wi3bsDXl4eDgwH1a1r1793540RQpUgTCw8O5emzZsuWHHg0bNuQ+Tn706NE/9Bg9ejRXBwCAunXr/tBDxN5tOXLkSNXBwsIC7e3Gg/fv3//wZ5E7d27u+2IdP378hx7ly5fnPjRkwYIFP/To2rUr99B36dLlhx4LFizg6gAAULJkyVQdjIyMuG/YTj3HUM8x1HMJ6jmGeo6hnktQz/nDsuICMzAwMNWTZW5uLmSC2e7du1P1yJkzJ7x8+ZK7x+TJk1P1KFu2rJCR0M2aNUvVo1OnTpCQkMDdI0+ePKl6JN+UmRdfv379YegPHDjA3eP8+fOpetjb28ODBw+4e6Qc6Z/yKFSoEHz69Im7R9++fVP1qFevnpDZVSCKAAAgAElEQVTQpxzpn/JIvikzLxISEmTT/VIeGzZs4O5BPcdQzzHUcwnqOYZ6LkE9x1DP+cOy4gLz4MGDek+WoaEhBAQEcHcAAJg1a5ZeDzs7O7h3754Qj3bt2un1KFCggLAx3UWKFNHrUadOHVCpVNwdYmJiUv1YxNChQ4V8DOH69eupRmXdunXcHQAA1q1bp9fBzMwMzp8/L8Rj6NChej1cXV0hJCREiEf16tX1evj4+MC3b9+4O2g0GrC3t9fr0aFDByEv3F+/fp3qNTpz5kzuDgDU85RQzyWo5xjqOYZ6LkE9x1DP+cOy4gJz4cKFek/YqlWruH//JLp166bTwdTUFM6cOSPMo1SpUjo9XFxcIDg4WIhDXFwcmJiY6PQoXbo0REZGCvG4f/++3mujbdu2QkIPALB161a9HjNmzBDiAAAwZswYvaEXtQcUAEC9evV0etja2sKdO3eEebi6uur08PT0hPfv3wtx+PDhg95ro1atWhAbGyvE48SJE3o9Bg0aJOx+EOo5hnouQT3HUM8x1HMJ6jmGes4flhUXmP369dN5wkRt3ppEhQoVZA4GBgawa9cuYQ4ajUbnxyJsbGzg1q1bwjyCgoJ0npN8+fJBWFiYMI89e/bo9Khevbqw0AMATJkyRafHgAEDhN7I3bx5c50eojbjTiJv3rw6Q3/q1ClhDpGRkTp/Fs7OzhAUFCTM48KFCzo9SpUqBREREcI8VqxYodOjVatWQjYFT4J6LkE9x1DPMdRzCeo5hnqOoZ7zJ0suMGvUqCE7YX369BE+gcnR0VHmsWzZMqEOb968kTmYmJjAiRMnhHocPnxY5uHk5ASBgYFCPWbPni3zKFGiBLc9yfTRvn17mUeLFi2Ehh4AoGjRojKPSZMmCXWIjY2VfcyN555k+rh586bsZ2FtbQ03btwQ6rF+/XqZR548ebjtSaaP4cOHyzyqVq3KbWsDfVDPJajnGOo5hnouQT3HUM8x1HP+ZMkFZs6cOdEJa9q0KddR2Lr49OmT7MIZP368UAcAgJMnT8o8/Pz8hHssWrQIOVhaWsK1a9eEe3Tv3h15uLu7Q2hoqHAPb29v5FG5cmWuo7B1ER8fD6ampsijZ8+ewkP/4MED2TW6ZMkSoQ4AAH5+fsjB2NgYjh07Jtxj7NixyIP3nmT6aNCgAfIoVqwY1z3J9EE9l6CeY6jnEtRzDPUcQz2XoJ6LIcstML99+4ZOVsWKFbmPwtbFpUuXkEe3bt0U2cNm5cqVyOPPP/8U7gAAMGDAABT6I0eOKOJRsWJFrUe2bNng8ePHwh00Gg1YWVlpPXjvSaaP58+fo2ujcePGwkMPALB3717kwXtPMn1MmzYNeWzZskURjxYtWqAX7leuXFHEw9PTU+vh5uYGr1+/Fu5APcdQzzHUcwnqOYZ6jqGeS1DPxZDlFpi3bt3SnqzChQtz38NGHxs3btR6NGjQQLE9bH7//Xetx8iRIxVxAACoVauW1mPTpk2KeWTPnh0YS9yT7NKlS4o4hIaGan8WuXLl4r4nmT6OHDmi9ShXrpxio7DnzJmj9ejSpYtimwl37NhR6zFv3jxFHAAAvLy8gDExe5LpQ6VSgaGhITCWuCfZw4cPFfGgnmOo5xjquQT1HEM9l6CeY6jnYsjQApMx5sYYO80Ye8wYe8gYG/ajx/BeYG7fvh0YS9zDRtQobF1MmDABGGNQpkwZIaOw9dGoUSNgjEHHjh2FTdTThZubGzDGYPbs2Yo5hIeHA2OJE/X279+vmMfp06eBMXF7kuljyZIlwBiDggULwsePHxXz6NmzJzAmbk8yffj4+ABjDIYPH67Yi6L4+HgwMzMDxhisX79eEQcAgMePHwNjiXuSXbhwQTEP6jmGei5BPcdQzzHUcwnqOYZ6LoaMLjBdGWOl//fPNoyxQMZY0dQew3uB6evrK3QPG320atUK8ufPr/geNvnz54fatWsL2ZNMH1FRUcAYgyFDhigWegCAy5cvA2MM1qxZo5gDAMDff/8NZmZmcO7cOUU9Bg4cCC4uLvDixQtFPSpVqiRsTzJ9aDQasLGxgXbt2ika+uDgYGBM3J5k+vD39wdDQ0PYt2+foh7Ucwz1XIJ6jqGeS1DPMdRzDPVcDKktMA3ZDwCAdwBw63///O1/v8nM9aPH8eTly5fM39+fFS9e/KceFxQUlLRozhQiIyPZsWPHmJOTU5ofAwAsKCgo0xzUajVzcHBge/fuZaampml+XHR0NHv79m2meQQFBbHWrVuzRYsWMQMDgzQ/7sOHDywyMjLTPAIDA5mvry/r3bv3Tz3u5cuXLC4uLtM8goKCmJ+fH6tSpcpPPe758+eZeo2GhYWxI0eOsDx58vzU4zLzGmWMMY1Gww4dOsSsra3T/Jj4+Hj24sWLTHN4//498/HxYZs2bWKGhj9Mn5YvX76w8PDwTPMIDAxkAwcOZOPHj/+px4WGhrKYmJhM9VixYgVr3rz5Tz3uxYsXLCEhIdM8qOcS1HMM9RxDPZegnss9qOcS1PP/APpWnroOxlgextgrxphtav8e799gpucm/7dv34KpqSlUqFABAgICMuUdr/R4nDlzBhhj0KxZM7h8+XKGHT5//pyuUdhLliwBU1NT6NOnT6aMnQ8ODk7XKOxevXqBvb09TJw4MVM2RX78+PFPv+Ou0WjAx8cH3NzcYPHixZlyX0t6ro3IyEhwcHCAkiVLwrZt2zJleEN6PB4+fAiMMahduzacOHEiw7/BUKvV6dqTbPv27WBkZAQdO3aEu3fvZsgBIPE+qvRsbTBhwgSwtLSE4cOHZ8q9V0+fPk3X1gaNGjUCZ2dnmDVrVqZMBkzPtREXFwd58uSBAgUKwJo1azJlH0LquQT1HEM9z7gH9RxDPZegnmOyas95wjJjyA9jzJoxdpMx1lLPn/dljN1gjN1wd3cX+h+YFkaPHo0mOdWqVUsRj3r16iGP4cOHC3dQqVTa+2sYS9y/au3atcI9Xr9+DSYmJloPc3NzuHjxonCPf//9F50TR0dHoRuJJ7Fw4ULkUbx4ceF7rAEAdO3aFXl07NhRuINGo4FSpUohDyXuBYuIiAA7Ozutg7GxMQQEBAj3uHv3LvpZ2NjYKDJNc+vWrcjDzc1NkQmB1HMJ6jmGeo6hnktQzzHUcwz1/OfJ8AKTMWbCGDvGGBuRln9fxD6YP8Pnz5/B2tpa8bgln66VdCgxcSz5dC3GEiefKXFPx4gRI5CHq6trpryD9rMkn5bIGIMaNWoId4iNjZXtHaVE3EJCQsDY2Bh5KDG4IPm0xKRD9ObZAABz585FDtbW1opsT5B8WiJjidskiL7vSKPRQLFixZBH+/bthToAUM9TQj3HUM8lqOcY6rkE9RxDPU8fGVpgMsYMGGObGWOLf/Tvwn90gfnHH3+gE2Zra5uuj1ZklLZt2yKPEiVKCB+gkJCQAEWKFEEenTt3FuoAkLgJbvJ9xRhjMH/+fOEe165dk0VFiY2a165dixxMTEwUGYU/ZMgQ5JE7d25Fbk6vVq0a8qhTp45wh5iYGHBxcUEeSowZf/78uXb8fNKxefNm4R4HDhyQPVdu374t3IN6LkE9x1DPMdRzCeo5hnqOoZ6nj4wuMCv/7z/0HmPszv+Ohqk95r+0wPz+/Ts4OTmhEzZu3DjhHoGBgbKo+Pn5CffYt2+fLCr3798X7uHr64sc7O3tITIyUrhHy5YtkUfp0qWFRyU+Ph4KFCiAPHr06CHUAQDgw4cPYGFhgTwWLVok3CPlBsmMMTh16pRwj7///hs5mJqaQmhoqHCP5BveM8bAw8NDka0BKlWqhDwaNGgg3IF6jqGeY6jnEtRzDPUcQz2XoJ6nnwwtMNNz/JcWmMuXL0cny8zMLF033WaUvn37Io98+fJlyk3/P4NGo4GyZcsijyZNmgh1AEgcge/o6Ig8Jk2aJNzj8ePHYGBggDx27twp3GPXrl3IwcDAQJH7MSZPnow8smXLpsgY+qZNmyKPsmXLCn+RGBcXB/ny5UMevXv3FuoAABAWFqbdYy3pWLZsmXCP8+fPy/7iO3v2rHAP6rkE9RxDPcdQzyWo5xjqOYZ6nn5+2QWmWq0GDw8PdMIGDBgg3CM0NBRMTU2Rx8qVK4V7nDp1ShaVS5cuCfdYvHgxcrCwsFBkr6IePXogjwIFCggfwqDRaKB06dLIo2XLlkIdABInHtrb2yOPadOmCfe4f/++7BpVYl+vbdu2yV4kKjHNbdy4ccjDyclJkSEMDRs2RB4VK1YU/iKReo6hnmOo5xLUcwz1HEM9l6CeZ4xfdoG5ZcsWdLIMDQ3h+fPnwj1STsjKkSNHukbAZ5S6desij6pVqwp3SDkhi7HEzbxF8+rVKzTxkDFlNvM+fvy4LCpXr14V7rFgwQLkYGVlBZ8+fRLu0aVLF+RRuHBhRYYflCxZEnm0adNGqAMAwNevX8HW1hZ5/PHHH8I9Uk48ZIzB/v37hXtQzzHUcwnqOYZ6LkE9x1DPMdTzjPFLLjATEhLAy8sLnTAlxnPrmpA1Z84c4R43btyQReXIkSPCPTZs2IAcjI2NISQkRLjH8OHDkUfOnDkVmXhYs2ZN5FGzZk3hDromHv7+++/CPUJCQsDIyAh5bNiwQbjH4cOHZc+VmzdvCveYM2cOcrCxscmU/dJ+lg4dOiCPYsWKCX+RSD3HUM8x1HMJ6jmGeo6hnktQzzPOL7nA3L9/v+yEZcbmvj/Lf2VCVps2bZBHqVKlFJmQVbhwYeTRtWtXoQ4AiRMPLS0tkceCBQuEe1y9elV2jf7777/CPdasWYMcTExM4PXr18I9Bg8ejDzc3NwUmXhYtWpV5FG3bl3hDtHR0ZAjRw7kMXr0aOEeuiYebtmyRbgH9RxDPZegnmOo5xjquQT1HEM9zzi/3AJTo9FAhQoV0Alr1KiRcI/v379D9uzZkcf48eOFezx9+lQ2/GD79u3CPfbu3SuLyoMHD4R7TJ06FTk4ODgoMvGwRYsWyOO33377T0w87Nmzp1AHAID379+Dubk58li8eLFwj4sXL8qu0dOnTwv3WLlyJXIwNTWFt2/fCvfo378/8siTJ48iww+o5xLUcwz1XIJ6jqGeY6jnEtTzzOGXW2CePXtWFpXz588L91i2bBlyMDc3h7CwMOEevXv3Rh6enp7/iQlZzZo1E+oAAPDt2zfIli0b8pg8ebJwj0ePHsmu0d27dwv32LlzJ3IwMDCAJ0+eCPeYOHEi8nB0dISoqCjhHk2aNEEe5cqVU2TiYd68eZFH3759hToAALx790428XD58uXCPajnGOq5BPUcQz3HUM8lqOcY6nnm8MstMOvXr49OWOXKlYU7qNVqcHd3Rx4DBw4U7vHmzRvZ8INVq1YJ9zh58qQsKpcvXxbu8eeffyIHCwsL+Pjxo3CP7t27I4+CBQsqMvHQ29sbebRq1UqoAwBARESEbOKhr6+vcA9dEw/9/f2Fe/j5+SEHQ0NDePbsmXCPsWPHIg8nJyeIjo4W7kE9l6CeY6jnEtRzDPUcQz2XoJ5nHll6gZlyz5zbt2/LonLw4EHhHps3b0YORkZGEBwczNUhOjpa9vnxkSNHIg8XFxfuE7Lev38v+8u1Tp06yKNatWpcHQDk50SlUkGuXLmQx9ChQ4V7vHz5EoyNjZHH2rVrhXscO3ZM9ly5du0aVweNRiN7l3DevHnIwcrKCsLDw7l6fP78WfY86Ny5M/IoUqQI9+EH7969Q++oazQaKFGiBPJo164dV4ckj+Tomng4c+ZM4R7Uc+p5EtTz1D2o59Tz5B7JoZ5Tz3mRpReYVapUQaON27Vrh05Y8eLFuX8kQqVSQYkSJbSbGCckJEDRokWRh4gJWbdu3YKmTZtqIxoeHg5WVlbIY+7cudw9Nm7cCBMnTtR+rWtC1tGjR7l7jBgxAnbs2KH9et26dcjB2NgYXr58yd2jcePGcOvWLe3Xw4YNQx65cuUSMvHQ29sb3r9/r/26evXqyKNWrVrcHUJDQ6FSpUraYQ8xMTHg4uKCPEaMGMHd48iRI2ij7eDgYNnEw40bN3L3mDNnDtpo+9ChQ7LnSvJrhxddu3aFkydPar+eNWsWchA18ZB6LkE9x1DPMdRzCeo5hnouQT3nS5ZdYMbHx4OZmRmUKlUKvn//Ds+ePZNNyPrnn3+4ezx+/BgYS9xbSaPRQEBAgCwq9+7d4+6xfft2YEzaW2n69OnIwc7ODiIiIrh7TJgwARiTPo7SunVr5OHt7S3kPohGjRqBlZUVPHjwAOLj46FQoULIo1u3btwdAABy584NefLkgfDwcPj48aNs4uHChQu5O4SHhwNjDGrUqAFxcXFw+fJl2TV64sQJ7h6nT58GxhgMHjwYAABWr16NHERNPFyyZAkwxmD16tUAADBo0CDk4ebmBmq1mrtHz549wdjYWHsPSpUqVZBH/fr1uTsAAPj4+ED27Nnh1atXEB0dDc7OzshjzJgx3B2o5xjqOYZ6LkE9x1DPMdRzCeo5X7LsAvPFixfak9OlSxfo27cvOmF58+YVcrNs8gt23rx5UL58eeQhakJW0gVrYGAAu3fvBkdHR+QxYcIEIR5JL0BsbGxg//79sglZyd+F5knSNL0CBQrI3u1mjMHDhw+5O0RFRWm/X7169WDSpEnIwcHBQfvOGk+uXLmi/Z6jRo2CZs2aIQ8fHx8hLxJXrVql/Z7r16+H/PnzI49evXpxdwCQXoCYmprCgQMHZBMPlyxZIsSjcuXKwFjiR2N27dolu0bPnDnD3UGj0Wg/PlWmTBnZfW1mZmZCJh5SzzHUcwz1XIJ6jqGeS1DPMdRzvmTZBWbKew5S/sW3YsUKIR7z58/X68AYgwsXLgjxSH7PQUoPc3Nz9HEaniS/5yClh6enp5DhB2q1Gn1EJqVH8+bNuTsAANy5cyfVa3TKlClCPFLec5Dy2LNnjxCP5PccpPxZiJx4mPwespQe2bNnh+/fvwvxSP7OckqPChUqCHmRGBYWluo12q9fP+4OANTzlFDPJajnGOo5hnouQT3HUM/5wlJZYBqz/8c8ffoUfZ3435qIlZUVK126NLtx4wZTq9VMpVIxHx8fZmNjw9UjuQNjjBUpUoRZW1uz69evM5VKxeLi4ljVqlWZkZGRUI/69euzt2/fspCQEKZSqZipqSkrV65cpjtoNBr27NkzvR6tWrVi9+7dYyqViqnVaubo6Mi8vLwy3SM4OJglJCTo9WjcuDG7efMmU6vVTK1Wszx58jAPD49M90jtGjUyMmLVq1fXXqNqtZoVL16cOTo6cvdIjouLC8ubNy+7fv261qNixYrMzMyMq0fKc1KpUiUWExPDrl27xtRqtfZ/MzAwEOrRrFkz9vTpU+3Pwtramnl7e2e6w9evX9mHDx/0ejRv3pzdvn1b6+Hq6soKFCiQ6R6pXaOMMVavXj30XClYsCBzdXUV6kE9p55Tz/V7JId6Tj1PDvWceq4Y+laeGTlE/QZz8ODBqb6Ll/zo2bMnt3ePqlatmmaPRYsWcXHQaDRgZ2eXJgdjY2NuQxlevnyZ5p+Fo6Mjt3c49+/fn2YPLy8v+Pz5MxePGTNmpNmjSZMm3D4y0qZNmzR7jBs3josDAEDBggXT7MHr/ozo6Og0O1haWsLVq1e5eFy9ejXNHu7u7vDmzRsuHmvWrEmzR8WKFbmNtqeeS1DPMdRzDPVcgnqOoZ5jqOd8YVn1I7J169ZN0wlr1KgR1896p5yapu8YPXo0N4f379+n+Um0efNmbh7//vtvmkN/5coVbh4LFixIk0fu3Lm5DiHo0qVLmjwqVKjA9WM8JUuWTJNH165duYVerVbLxvnrO3gOyrh3716aHIyMjODw4cPcPLZs2ZImj2zZssGjR4+4eYwePTpNHkWKFOG63QD1XIJ6jqGeY6jnEtRzDPUcQz3nC8uqC0wPD48fnqyyZctCVFQUN4eIiIg0XTSdOnXiugfTuXPn0uTBewzy8uXL0xR63nsf9enT54ce9vb28ODBA64eZcuW/aFH4cKF4dOnT9wcEhISwMLC4oce9evX5zpp7+nTp2m6RnmPtdc1fEHXsWHDBq4eKQeE6DrMzc3h4sWLXD2aNm36Q49cuXJx3wKCei5BPcdQzyWo5xjqOYZ6LkE95w/LigvM6OhonTfsJj8KFiwIHz9+5Opx/fr1H140derU0e4TxYu1a9f+0GPYsGHcbzIfOnToDz3WrVvH1QEAoFq1aj8MfdIocV5oNBqwt7dP1cPV1RVCQkK4erx69eqH58THx4f79MMDBw780KNDhw7cN8OeOXPmDz1mzZrF1QEAoG3btqk6GBoaQkBAAHePwoULp+phZ2fHfYw79RxDPcdQzyWo5xjqOYZ6LkE95w/LigvM+/fvp3qyXFxcIDg4mLvHP//8k6pH6dKlITIykrvHmDFjUvVo27Yt99ADANSvXz9Vj6Q9gHjj6uqaauj37dvH3eHDhw+p/ixsbW3h7t273D1OnDiRqkf+/PmFTDBbuHBhqh61a9fmHnoAgG7duqXqMXjwYCGhL1WqVKoeSXu68SQuLg5MTEz0OpiZmQkZrU89x1DPMdRzCeo5hnouQT3HUM/5w7LiAnPPnj16T5aNjQ3cvn2buwMAwNSpU/V65MuXD8LCwoR4NG/eXK9HjRo1IDY2VohHvnz59HoMHDhQSOgjIyNTfTKvXLmSuwMAwIULF/Q6mJqawunTp4V4rFixQq+Hs7MzPH/+XIhHv3799Hp4e3sL22S4QoUKej1at24tZNsFjUYj26A9+eHr68vdAQAgKChIr0PSfl0ioJ5jqOcS1HMM9RxDPZegnmOo5/xhWXGBOWvWLJ0ny8TEBE6ePMn9+yfRvn17nR5OTk7w7NkzYR5FihTR6VGiRAn4+vWrEIfY2FgwNDTU6dGyZUshoQcAuHHjht4n8+TJk4U4AIDOzcCTQr9z505hHsOGDdPpYW1tDTdv3hTmUb16dZ0eefPmhXfv3gnzyJYtm06PatWqQUxMjBCH169f671G+/btK+yjMocOHdLrsXz5ciEOANTzlFDPJajnGOo5hnouQT3HUM/5w7LiArN79+46T9i2bdu4f+/klC5dWuZgZWUF165dE+YQHx+v82MRHh4eEBoaKszj4cOHOs9J5cqVuY3C1oWfn59Oj169egn9jPvYsWN1eixdulSYAwBAgwYNZA7GxsZw/PhxoR45c+aUeWTPnh2ePn0qzOHTp086z0mxYsXgy5cvwjxOnjyp06NZs2ZcJ+qlZNGiRTo9JkyYIMwBgHqeHOo5hnqOoZ5LUM8x1HMM9Zw/WXKBWbFiRdkJ47WHjT40Gg1YW1vLQn/kyBGhHs+fP5f9LHjuSaaPffv2yTx47kmmj2nTpsk8GjduLDT0AAAtWrSQefDck0wfnp6eMo+tW7cKdfj27ZvMgeeeZPq4dOmSzMPNzY3bnmT6WLlypcyD555k+hgwYIDMo3v37sKHDVDPJajnGOo5hnouQT3HUM8lqOdiyJILzOzZs6MTNmrUKO7fMyVv376VXTibNm0S7nHkyBHkYGFhAZcvXxbuMXfuXOSRO3duePXqlXCPjh07Io/y5ctz3ZNMH15eXsiD555k+lCpVLKPuc2fP1+oAwDArVu3kAPvPcn0sXHjRuTh4ODAdU8yffz+++/Ig/eeZPqoVasW8mjQoAHXrQ30QT2XoJ5jqOcS1HMM9RxDPZegnoshyy0ww8PD0QnjvYeNPk6fPo085syZI9wBAGDx4sUo9AcOHFDEo2fPnloPEXuS6eO3337TehQqVIj7KGxdxMfHg5mZmdajXr16ioT+0aNH6Br9/fffFRmFvW3bNuTBe08yfYwfP17rYG5uDhcuXFDEo2HDhlqPnDlzct+TTB+5c+fWepQpU4brnmT6oJ5jqOcY6rkE9RxDPcdQzyWo52LIcgvMy5cva0+YiD1s9LFq1Sqtx9ChQxXbw2bgwIFaj7Vr1yriAABQuXJlYCxxFPa5c+cUcdBoNGBjYwOMJe5J9uLFC0U8goODtedExJ5k+vD399d6tG/fXrFR2L6+vloPEXuS6aNVq1bAWOLWBv7+/op55M+fHxgTsyeZPqKiorTnpECBAvDhwwdFPKjnGOq5BPUcQz3HUM8lqOcY6rkYstwCc9OmTcCYuD1s9DFy5EhgjEGbNm0U3cOmdu3awBiD6dOnK+YAAODs7AyGhoawd+9exRzevXsHjCXuSXbnzh3FPI4ePQqMiduTTB/z5s0DxhjUrFlT0VHYnTp1AsYYDBo0SNHNhIsXLw6MMVi1apViDiqVCoyMjMDU1FTInmT6uHPnDjDGIEeOHEL2JNMH9RxDPZegnmOo5xjquQT1HEM9F0OWW2BOnDhR6B42+mjSpAlUr15d2Chsfbi7u0P//v0VDf2XL1+AMQYrVqxQzAEA4OzZs2BqagqnTp1S1GPp0qXg7OwMQUFBinr07t0bSpYsKWxPMn2UKVMGWrVqJWxrA10kJCSAubk5TJ06VTEHAIAnT56AgYEB7Nq1S1GPnTt3go2NDdy6dUtRD+o5hnouQT3HUM8lqOcY6jmGei6G1BaYhuz/IV++fGFHjx5lOXLk+KnHHTx4kEVHR2eah7m5OfP392fm5uZpfkxCQgLz9/dnCQkJmeIQHR3NfHx82PLly5mBgUGaH/fx40d2+vTpxHcZMoHAwEA2adIkNmDAgJ963OPHj9mDBw8yxYExxp49e8a2bNnCatSo8VOPu3TpEnvz5k2mebx9+5YdPnyYeXp6/tTjjh07xiIiIjLNIy4ujh05coTZ2tqm+TEAwPz9/Zlarc4UBwBgrq6ubOvWrczIyCjNj4uOjmaHDh3KtGv09evXrEuXLmzq1Kk/9biQkBB27dq1THFgjLGnT5+ypUuXstatW//U427dusWeP3+eaR4vXrxge/fuZd7e3j/1uNOnT7OPHz9mmgf1XIJ6jqGeY2Mv3mYAACAASURBVKjnEtRzDPUcQz3/D6Bv5ZmRg/dvMNPz2fKkm+OzZ88OM2bMyJRR6+nx2LlzJzDGwNPTE1atWpXhj7lERkamaxT2xIkTgTEG5cqVg3379mX4IwQfP35M1zs0TZo0AcYSx85fvHgxQw4A6TsncXFxkDdvXjAxMYFevXplyvjo9Hi8e/cOzMzMwNbWFsaPH58p7wCmx+Ps2bPAGINcuXLBn3/+meH7jdRqdbr2JFu6dCkwxqB48eKwdevWDG9LEB4enq7/j969e2s/lnb8+PEMvxOZnnOi0WigTJkyYGhoCO3bt4fbt29nyCG9Ht++fYNs2bKBhYUFDBkyJFOGWVDPJajnGOp5xj2o5xjquQT1HJNVe84TltU+IpseUm786uPjI9xBo9HINn7t2bOncI+IiAiwt7dHHkuWLBHucf/+feTAGIPTp08L90i5kbexsbEiH+9IuZG3h4eHIh9BSrmRd6NGjYQ7qNVqcHd3Rx6iN4sGAHjz5o1sk+Tt27cL99C1kbcS4/hTbuRta2uryJYR1HMJ6jmGeo6hnktQzzHUcwnqefr45ReYL1++BGNjY3TC1q1bJ9zj2LFjsqhcu3ZNuEfSoICkw8rKSpE9mzp37ow8ihYtKvydGo1GAyVKlEAe7dq1E+oAAPD161ewtbVFHkpM57t9+7bsGj148KBwj82bNyMHIyMjRQYXJA0KSDpcXFwUuaejTp06yKN69erCHVQqFRqDz1jidD7RUM8x1HMJ6jmGeo6hnktQzzHU8/Txyy8whw0bhk5Yrly5FBmdXKNGDeRRq1Yt4Q4xMTHg4uKCPEaMGCHc48WLF2BkZIQ8lNgE99ChQ7KoKHGT/KxZs5CDjY1Nuj6GlFHat2+PPIoXLy785vSEhAQoWrQo8ujUqZNQB4DEj2BZW1sjj7lz5wr3uHHjhuwaPXr0qHCP9evXIwdjY2NF9nujnktQzzHUcwz1XIJ6jqGeY6jn6eOXXmB+/PgRLC0t0Qn7888/hXtcuXJFFpUTJ04I90i+NxBjDExMTODNmzfCPQYNGoQ83N3dFdm4Ommvt6Sjfv36wh2io6PB2dkZeYwZM0a4x7Nnz8DQ0BB5/PPPP8I9AgICZM8VJfYWmz59OnKws7NTZHpj69atkYe3t7fwF4nx8fFQqFAh5NGtWzehDgDU85RQzzHUcwnqOYZ6LkE9x1DP088vvcCcMmUKOmHZsmVTZJPk5s2bIw8fHx9FouLp6Yk8evXqJdQBAOD9+/dgbm6OPJYuXSrc4/z587KoKLGP1V9//YUczMzM4O3bt8I9+vXrhzzy5s2b4UEMP4tGo4Hy5csjj8aNGwt1AEjctNrR0RF5KHHPUNII/OQeO3bsEO6xZ88e2XPl4cOHwj2o5xLUcwz1HEM9l6CeY6jnGOp5+vllF5iRkZHg4OCATpgSeyY9fPhQ9mTes2ePcI/t27cjBwMDA3j69KlwjwkTJiCP7NmzK3JjeaNGjZBHhQoVhEclLi4O8uTJgzz69esn1AEA4O3bt2Bqaoo8lNgD78yZM7LnyoULF4R7LFmyBDmYm5srssF6r169kEf+/PmFDwrRaDTg4+ODPJo3by7UAYB6nhLqOYZ6LkE9x1DPJajnGOp5xvhlF5gLFy5EJ8zS0hI+ffok3KNbt27Io1ChQooMPyhVqhTyaN26tVAHgMQJWXZ2dshjxowZwj3u3r0ri0pAQIBwj61btyIHQ0NDRTbzHjNmDPJwdnZO13jtjFKvXj3kUaVKFeEOarUa3NzckMegQYOEe7x+/Vo28XD16tXCPU6cOCF7rly5ckW4B/VcgnqOoZ5jqOcS1HMM9RxDPc8Yv+QCMzY2FnLmzIlO2PDhw4V76JqQtX79euEeR44ckUXlxo0bwj3mzp2LHKytrTNlz6OfpWPHjsjDy8tLkagUK1YMebRv316oAwDAly9fwMbGBnnMnj1buMetW7dk1+ihQ4eEe2zcuBE5GBkZwYsXL4R7jBgxAnm4urpmeF+u9FCrVi3kUaNGDeEO1HMM9RxDPZegnmOo5xjquQT1POP8kgvMtWvXopNlYmICr169Eu4xdOhQ5JE7d25FJmRVq1YNedSpU0e4g64JWaNGjRLu8fz5c9nwg82bNwv3OHjwoCwqd+7cEe4xc+ZM5GBrawtfv34V7tGuXTvkUaJECUUmHhYpUgR5dO7cWagDQOLEQysrK+Qxf/584R7Xrl2TXaPHjh0T7kE9x1DPJajnGOq5BPUcQz3HUM8zzi+3wIyPj4cCBQqgE9ajRw/hHh8+fAALCwvksWjRIuEely5dkkXl1KlTwj3+/vtv5GBqagqhoaHCPQYMGIA8PDw8FJl4WKlSJeTRoEED4Q7fv38HJycn5DFu3DjhHromHvr5+Qn32Ldvn+y5cv/+feEevr6+yMHe3h4iIyOFe7Rs2RJ5lC5dWpHhB9RzCeo5hnouQT3HUM8x1HMJ6nnm8MstMHft2oVOloGBATx+/Fi4x+TJk5GHUhOymjZtijzKli2ryPCDfPnyIY/evXsLdQAACAsLAzMzM+SxbNky4R66Jh6ePXtWuMfy5cuRg5mZGbx79064R9++fZFHvnz5FJl4WLZsWeTRpEkToQ4AuiceTpo0SbjH48ePZRMPd+7cKdyDeo6hnktQzzHUcwnqOYZ6jqGeZw6/1AJTo9FA6dKl0Qlr2bKlcI/IyEiwt7dHHtOmTRPucf/+fdlffPv27RPusW3bNllUAgMDhXuMGzcOeTg5OSky8bBhw4bIo2LFisKjolarwcPDA3kMGDBAqAMAQGhoqGzi4cqVK4V7nDp1SvZcuXTpknCPxYsXIwcLCwv48OGDcI8ePXogjwIFCigy8ZB6LkE9x1DPJajnGOo5hnouQT3PPLL0AjPlPQ7Hjx+XnbCrV68K91iwYAFyEDEh6+vXrxAcHIz+ty5duiCPwoULcx9+8OzZM/ROkEajgZIlSyKPNm3acHUASJwsmPy/9evXr2Bra4s8/vjjD+4eKa8NXRMP9+/fL9xjy5YtyMHQ0BCeP3/O1SE+Pl62yfbo0aORR44cOSAmJoarx5s3b2R/ydetWxd5VK1alasDAMCDBw/Qx/lUKpVs4uGQIUO4e6S8Nl69eiWbeLhmzRrhHtRz6nkS1PPUPajn1PMkqOepe/zKPc9ssvQCs2jRonDx4kXt1zVq1EAnrGbNmtwdoqKiIEeOHPD69WsAUG5C1uXLl8Hb21s7jvzFixdgZGSEPDZs2MDdY9WqVdCuXTvtO7iHDx+WReXmzZvcPQYOHAizZs3Sfj179mzkIGriYZUqVdALjg4dOiCPYsWKcY+KRqOBnDlzajdTTkhIAC8vL+TRoUMHrg4AAMHBwZAvXz7tz/3z589gbW2NPObMmcPdw9/fH2rVqqX92NaNGzdk1+jhw4e5e/j6+sLQoUO1X2/YsAE5GBsbQ0hICHePVq1awdq1a7VfDx8+HHnkzJlTyMRD6rkE9RxDPZegnmOo5xjquQT1nC9ZdoGpUqnAyMgIXF1d4d27d3DlyhVZVP7991/uHnfu3AHGEj87HRsbC2vWrEEOJiYm2oubJ5s2bQLGGHTr1g00Gg0MHjwYebi5uQmZkDVy5EhgjMHChQsBAKBq1arIo27dutwdAABq164NBgYGcOzYMYiOjoYcOXIgj9GjRwvxcHJyAjs7OwgMDNQ58XDLli3cHd69eweMMShYsCBERETA/v37Zc+Vu3fvcvc4evQoMJY4ACMhIQH++OMP5CBq4uG8efOAMQZjxowBAIA2bdogj5IlSwr5iFunTp2AMQZbt26FhIQEKFy4MPLo2rUrdwcAgOLFi4OZmRlcv34dPn36BJaWlshjwYIF3B2o5xjqOYZ6LkE9x1DPMdRzCeo5X7LsAvPJkyfak1OlShVo0qQJOmG//fabkKjs3LlT+z379Omj2ISsiRMnar+nr68vmJubI4/FixcL8Ug6D0ZGRjBr1ixZVE6fPi3Ew93dHRhLvHl77NixyEHUxMPPnz9rv6eXlxd07doVeeTJk0fI8IOzZ89qv2fz5s2hQoUKyKNhw4bcHQAAli5dil4Qppx4OH78eCEevXv31n7P2bNny4YfbNu2TYhHmTJlgLHE+3JSThpkjMGDBw+4OyQkJGhb4ebmJvuLz8HBQcjEQ+o5hnqOoZ5LUM8x1HMJ6jmGes6XLLvA1PWuXfJj9+7dQjxSvmuX/BA5ISvlu3bJD0dHR4iKihLiUahQIb0e5cqVExKV6OjoVK+Nvn37cncAALh69WqqHsuXLxfikfJdu5TH+fPnhXik/Msu+WFmZgZhYWFCPFL+Fib54enpKeRFokajATs7O70ezZo14+4AkLjZdGrXxuTJk4V4UM8x1HMJ6jmGeo6hnktQzzHUc76wVBaYxuz/MU+fPtX7Z1ZWVuzbt29s3bp1TK1WM7VazXr06MFsbW2FehQsWJBdu3aNXbhwgalUKmZiYsJ69erFjIyMhHqULl2a7d69m6nVaqZSqZiLiwtr3bp1pjvExcWx58+f6/3zYsWKsU2bNjGVSsXUajUrXrw4q169eqZ7PHv2LNU/z5UrF1u/fr322qhVqxbz8vLKdI/UzomRkREzMTFB12iHDh2Ys7OzUA8XFxcWHBzMnjx5wtRqNQMA1rt3b2ZmZibUo2TJkuzo0aPan4WtrS3r3LkzMzAwEOrh7e3Ntm7dqvXIly8fa9iwYaY7fPjwgUVEROj9c09PT7ZhwwatR/ny5VmZMmUy3SO1nwVjjDk4OKDnSpMmTVjevHmFelDPMdRzDPVcgnqOoZ5jqOcSv1rPhaNv5ZmRQ9RvMPv06ZPqOyTJj/nz53PzKFeuXJocjIyM4NChQ1wcEhISZJvG6jscHBzg0aNHXDwCAwPTfE6KFCkC4eHhXDxS7rWU2tGgQQNuG3NPmjQpzR6jRo3i4gAg32sptWPTpk3cPFKO0dd3WFhYwOXLl7k4fP36Nc0/i1y5csGrV6+4eJw7dy7NHuXLl+e2/ULKvfNSO7p06cLtN1bUcwnqOYZ6jqGeS1DPMdRzDPWcLyyrfkS2WrVqaTphv//+O7cnkUajke2no+9Yv349FweAxDHUaXEwNzeHCxcucPM4ePBgmjxy5swJL1++5OYxc+bMNHmUKVOG60cT2rZtmyaPTp06cZ08mHLYgL6D58S/6Oho2b0x+kJ/4MABbh7Xr19P08/C3t6e6z0za9euTZNHoUKF4OPHj9w8hg4dmiaPevXqcXvhDkA9Tw71HEM9x1DPJajnGOq5BPWcPyyrLjBdXFx+eMLat2/PNfQfPnxI04Uzc+ZMbg4AAP/+++8PHQwNDcHf35+rx8KFC3/oYWdnJ9s7K7NJOXxB11GgQAHuGx6n3C9O11GnTh2u08Pi4uJke2DpOoYOHcr1fqp79+6l6bmSfLw6D7Zu3fpDBzMzMzh37hxXj5T7xek6XF1d4cWLF1w96tWr90MPHx8ftBciD6jnEtRzDPVcgnqOoZ5jqOcS1HP+sKy4wIyIiPjhCatZsyb3vX4uXLjwQ4+BAwdyH4Tw119//dBj1apVXB0AAPr165eqg6mpKZw5c4a7R/ny5VP1yJEjh2zT28wmISFBNh485VG6dGnuE92ePXv2w2ujTZs23Pdu27179w89pk+fztUBAGDKlCmpOhgYGMCePXu4ezRr1ixVD1tbW9kG0TzImzdvqh6enp7w/v17rg7Ucwz1HEM9l6CeY6jnGOq5BPWcPywrLjB1baSb/ChZsiRERERw91i/fn2qHi1btoT4+HjuHsOGDUvVY+rUqdwdAOQb6aYM/a5du4R4ZMuWTa+HjY0N3Lp1i7vD69evUz0n+fLlEzJl79ChQ6l6VK9eHWJiYrh76NriIPnRv39/IRMp27dvn6rHihUruDsAABQpUkSvg6mpKZw6dYq7Q2xsbKofc3N2doagoCDuHtRzDPUcQz2XoJ5jqOcS1HMM9Zw/LCsuMP38/PSerDx58sDbt2+5OwAAjBs3Tq9H1apVhYQeAKBBgwZ6Pfr06SMk9AAAuXLl0uuxbNkyIQ6fPn3S62BiYiJkc18AgJMnT+r1cHJygsDAQCEeixYt0utRokQJIRthAwB0795dr0fz5s2FhB4AoHTp0no9Jk2aJMQhPj5e78fcDAwMYMeOHUI8Hj58qPdnYWVlBTdu3BDiQT3HUM8lqOcY6jmGei5BPcdQz/nDsuICc+rUqTpPlqOjIzx9+pT790+iRYsWOj28vLzg8+fPwjzy5cun06Np06ZC9oACAPj27ZveJ5GoDZcBAC5evKjXw8/PT5jHihUrdDpYWlrCtWvXhHn0799fp4e7u7uQzcmTSLkZeNJRqVIliI6OFuKg0WjA2tpap0fPnj2FhT4oKEjvNSpyw+W9e/fqdDA2NoZjx44J86CeY6jnEtRzDPVcgnqOoZ5jqOf8YVlxgdmhQwedob9y5Qr3750cLy8vmUfu3Lnh9evXwhxiY2PB0NBQ5lGhQgVuo7B1cevWLZ1Pom7dugl9h2bDhg06PRYuXCjMAQBg+PDhOkN/5MgRoR41a9aUeWTLlk34KGxHR0eZR9GiRbltbaCL0NBQnddGo0aNhIb+8OHDOj3GjBkjzAEAYM6cOTo9Nm/eLNSDei5BPcdQzzHUcwnqOYZ6jqGe8ydLLjB/++03dLKMjIzg4MGD3L9vcuLj48HMzAx5ODg4wMOHD4V6PHr0SHbxFi5cGD59+iTUY/v27TIPnnuS6WP8+PEyj5EjRwp1AABo2LChzIPnnmT6yJ07N3KwsLCAS5cuCXXQ9TE3nnuS6eP06dMyj3LlynHd2kAXixcvlnl06dKF+2COlPTs2VPmMW/ePKEOANTz5FDPMdRzDPVcgnqOoZ5LUM/FkOUWmBqNBmxsbNAJ47mHjT5evHiBHMzNzeH8+fPCPfz9/ZFHzpw5ISQkRLjH9OnTkUeZMmW4j8LWRatWrZBHx44dhYceACB//vzIY/bs2cIdoqKikIOhoSEEBAQI97h8+TLysLe3h/v37wv3WLVqFfIoWLAg1z3J9DFw4EDkUbduXeEv3AEAKleujDyGDRsm/H4Q6jmGeo6hnktQzzHUcwz1XIJ6LoYst8B8+/YtOmF//PEH1++nj6NHj6LQ79u3TxGPuXPnaj1sbW3h7t27inh06tRJ65E/f37ue5Lpo1ixYlqP2rVrc92TTB8qlQqMjIy0HkOGDFHkRu7bt2+j58rq1auFOwAAbNy4UetgZmYGZ8+eVcRjxIgRWg8XFxfuWxvoo1atWlqP3377jfvWBvpwcnLSerRt21aRF+7Ucwz1HEM9l6CeY6jnGOq5BPVcDFlugXnmzBntCROxh40+li5dqvVYuXKlIg4AAL169QLGEkdhnz59WjGPMmXKAGOJo7CfP3+uiENCQoL2YxHe3t5CRmHr4vHjx9pro02bNsIm6qVkx44dWg9fX19FHAAAJkyYAIyJ25NMH40bNwbGErc2uH37tmIebm5uwFjinmQitjbQxefPn7XXRo0aNbjvSaYP6jmGei5BPcdQzzHUcwnqOYZ6LoYMLzAZY/UZY08ZY0GMsXE/+vd5LzBXr14NjInbw0YfgwcPBsYYTJkyRTEHAIAqVaqAgYEB7Ny5UzEHjUYDdnZ2YG1tDTdv3lTMIyQkBBhjkDdvXnj37p1iHgEBAcCYuD3J9DFjxgxgjEG/fv0UHYXdunVrYEzcnmT6KFiwIJiYmMDJkycVc/j+/bv2hbuIPcn0cfXqVWAscU8yUVsb6IJ6jqGeS1DPMdRzDPVcgnqOoZ6LIUMLTMaYEWPsOWMsH2PMlDF2lzFWNLXH8F5gjho1CqpUqaJo6AEA6tatC71791Z8D5scOXLA0qVLFXV4//49GBsbw/HjxxX1OH78OGTPnl3YnmT6mD9/PhQvXlzR0AMAdOnSBZo1a6Zo6AEASpQoARMnTlTUQa1Wg6mpKWzbtk1Rj7t374KVlRVcv35dUY8tW7aAh4eHsD3J9EE9x1DPJajnGOq5BPUcQz3HUM/FkNoC05D9mLKMsSAACAYANWNsO2OsWRoexw1TU1MWEBDAzM3Nf+pxs2fPZoGBgZnmUahQIbZy5UpmYGCQ5sfExMQwX19f9v79+0xxiIiIYD169GBDhgz5qccFBQWxxYsXs+/fv2eKR2BgINu4cSOrU6fOTz3u9OnTzM/Pj8XHx2eKR2hoKDt06BArUKDATz3Oz8+PnThxIulNlQwTGxvLjhw5wuzs7H7qcYsXL2Z3797NFAfGGHNycmLbtm1jRkZGaX5MQkICmz59Onv16lWmOGg0Gla1alU2Y8aMn3rcx48f2axZs9jXr18zxePFixds7ty5rH379j/1uJs3b7I1a9YwlUqVKR7BwcFsz549zMfH56cet3//fhYQEMA0Gk2meISHh7Njx44xV1fXn3rcmjVr2OXLlzPFgTHqeXKo5xjqOYZ6LkE9x1DPMdTz/wD6Vp4g/QazNWNsbbKvuzDGluv49/oyxm4wxm64u7tzXTGn552Rc+fOae8ZaN26Ndy4cUMRj+XLlwP730SrgQMHZvim9NjY2HS9Q9OnTx9gLHH/rGnTpmV4ZHJ6fhYajQbKlSun/QjUihUrMvyuV3oeHxUVpd3Ty8fHB3bv3p3hd4jT4/H48WMwMDAAxhg0bNgQzp07lyGH9Hrs2rULGEvc461bt24Z3l8tLi4uXRP1Jk2apL2/ZvTo0Rl+Zza911bTpk2BMQaurq4wf/78DA9wSI9HXFycdrPmokWLwqZNmzI8pTA9HmFhYWBubg6MMahatSocOXIkw+8QU88lqOcZ96CeY6jnGOq5BPUck1V7zhOWwY/IttGxwFyW2mNE7IP5s6Tcw6pixYrCHdRqNXh4eCCP/v37C/cIDQ0FU1NT5KHETdC69rASvZ8XgHwPKwsLC0UmJvbo0QN5FChQQPgUOI1GI9vDqkWLFkIdAAAiIyPB3t4eeUybNk24x4MHD2TX6N69e4V7bNu2DTkYGhoq8rHBlHsSOjk5KbJZNPVcgnqOoZ5LUM8x1HMM9VyCep4+MrrArMAYO5bs6/GMsfGpPea/tsC8c+eOLCoHDhwQ7rFlyxZZVJSYzjdq1CjkkSNHDkU+L1+3bl3kUa1aNeEOKpVKtnH1kCFDhHu8evUKjI2NkcfatWuFexw/flz2XLl69apwj/nz5yMHKysrRd7F69KlC/IoXLiwIi8SS5YsiTzatm0r1AEA4OvXr2Bra4s8lBhBTz3HUM8lqOcY6jmGei5BPcdQz9NHRheYxoyxYMZYXiYN+fFK7TH/tQVmhw4d0AkrVqyY8KgkJCSAl5cX8ujQoYNQB4DEUdbW1tbIY86cOcI9bt68KYvKkSNHhHts2LABORgbGyuyCe7w4cORR86cORUZM16zZk3kUbNmTeEOsbGx4Orqijx+//134R4hISFo7zvGGGzYsEG4x+HDh2XPlVu3bgn3mDNnDnKwtraGz58/C/egnktQzzHUcwz1XIJ6jqGeS1DP00+GFpiJj2cNGWOBLHGa7MQf/fv/pQVmUFAQGBoaohO2detW4R779++XRUWJDVeTxpwnHXZ2dorsLdamTRvkUapUKeHTvhISEqBw4cLIo2vXrkIdAAA+ffoElpaWyGPhwoXCPZLGnCc//v33X+Eea9asQQ4mJibw+vVr4R5JY86TDjc3N0U2ea9atSryqFevnnCH6OhoyJEjB/IYPXq0cA/qOYZ6LkE9x1DPMdRzCeo5hnqefjK8wPzZ47+0wOzfvz86YXny5IG4uDihDhqNBipUqIA8GjZsKNQBIHG/puzZsyOP8ePHC/cIDAzUDj9IOrZv3y7cY+/evbKoPHjwQLjH1KlTkYODg0OGBw+khxYtWiCP3377TfiLxPj4eChQoADy6Nmzp1AHgMRtGpKGHyQdixcvFu5x8eJF2TWqxGbNK1euRA6mpqYQGhoq3IN6LkE9x1DPMdRzCeo5hnouQT3PGL/sAvPdu3dgZmaGTthff/0l3OPs2bOyqJw/f164x9KlS5GDubk5hIWFCffo3bs38vD09FQkKmXKlEEezZo1E+oAAPDt2zfIli0b8pg8ebJwj0ePHsmu0d27dwv32LlzJ3IwMDCAJ0+eCPeYOHEi8nB0dISoqCjhHk2aNEEe5cuXF/4iMS4uDvLmzYs8+vbtK9QBgHqeEuq5BPUcQz3HUM8lqOcY6nnG+GUXmGPHjkUnzNnZGaKjo4V7NGjQAHlUqlRJuINarQZ3d3fkMXDgQOEeb968ARMTE+SxatUq4R4nT56UReXy5cvCPf7880/kYGFhAR8/fhTu0b17d+RRsGBB4Zt5azQa8Pb2Rh6tWrUS6gAAEBERIZt46OvrK9zj/v37smvU399fuIefnx9yMDQ0hGfPngn3oJ5LUM8x1HMM9VyCeo6hnmOo5xnjl1xgfvnyBWxsbNAJmzVrlnCP27dvy6Jy8OBB4R6bNm1CDkZGRhne4yc9jBw5Enm4uLgoMiGrdu3ayKN69erCHVQqFeTKlQt5DB06VLjHy5cvZRMP161bJ9zj2LFjsufK9evXhXvMmzcPOVhZWUF4eLhwj86dOyOPokWLKjLxsESJEsijXbt2Qh0AqOcpoZ5jqOcS1HMM9VyCeo6hnmecX3KBOWvWLHTCbGxs4MuXL8I92rdvjzyKFy+uyPCDokWLIo9OnToJdQAACA8Pl03ImjdvnnCP69evy6Jy9OhR4R7r1q1DDsbGxvDy5UvhHsOGDUMeuXLlUmT4QfXq1ZFH7dq1hTvExMSAi4sL8hgxYoRwj+DgYNnEw02bNgn3OHTokOy5osTEQ+q5BPUcQz3HUM8lqOcY6jmGep5xfrkFZnR0NDg7O6MTNnbsWOEez549k03I+ueff4R7+Pv7y6Jy79494R7Tp09HDvb29opMyGrVqhXy8Pb2VmT4QaFChZBHt27dhDoAh41IygAAFp9JREFUAHz8+FE28fDPP/8U7nH58mXZNXrixAnhHqtWrUIOJiYm8ObNG+EegwYNQh7u7u6gVquFe1SuXBl51K9fX7gD9RxDPcdQzyWo5xjqOYZ6LkE9zxx+uQXmX3/9hU6WmZkZvHv3TrhHv379kEfevHkVGX5Qrlw55NG4cWOhDgAAUVFR4OjoiDwmTpwo3OPJkyeyiYc7duwQ7rFnzx5ZVB49eiTcY8qUKcghW7Zs8O3bN+EezZs3Rx5lypRR5EWip6cn8ujVq5dQBwDdEw+XLl0q3OP8+fOya/TMmTPCPajnEtRzDPUcQz2XoJ5jqOcY6nnm8EstMOPi4iBPnjzohPXv31+4x9u3b8HU1BR5rFixQrjH6dOnZVG5ePGicI8lS5YgB3Nzc3j//r1wj549eyKP/PnzKzL8wMfHB3k0b95cqAMAQGRkJDg4OCCPqVOnCvd4+PCh7Brds2ePcI/t27cjBwMDA3j69KlwjwkTJiCP7Nmzw/fv34V7NGrUCHlUqFBBkYmH1HMJ6jmGei5BPcdQzzHUcwnqeeaRpReYAQEB6OutW7eik2VoaAhBQUHCPcaMGYM8REzIev/+vWxyXr169ZBHlSpVuDoAANy4cQNtpKxWq8HNzQ15DBo0iLvHsWPH0M/89evXsomHq1ev5u4REBCAQn7ixAlZVK5cuSLEIzkLFy5EDpaWlvDp0yeuDiqVCg4fPoz+t27duiGPQoUKcR9+8PTpU/QbBo1GA6VKlUIerVu35uoAkDgiPfm9JxEREWBnZ4c8ZsyYwd3j4MGD6IX53bt3ZddoyuuHB9RzCeo5hnou90gO9Zx6ngT1PHWPX7nnmU2WXmC6ubmBn58fACTeLFusWDF0wjp06MDd4cuXL2BmZgY3btzQfp1yQtbs2bO5e5w5cwZy5syp3Tvn5s2bsqik/MuAB0uXLoXy5ctDbGwsAABs3LgRORgZGcGLFy+4e/Tq1Qu6d++ufTHw+++/Iw9XV1etI098fHzQps61atVCHjVq1ODukJCQAFZWVnD8+HEAAIiNjYWcOXMij+HDh3P3ePz4Mdjb22vHouuaeLh+/XruHjt27IDChQtr7xk7cuSI7LmS9HzmyYQJE6BRo0baF2Bz585FDtbW1vD582fuHo0bN4Zx48Zpv+7YsSPy8PLyEjLxkHouQT3HUM8lqOcY6jmGei5BPedLll1gfv/+XftO3b179+DAgQOyE3bnzh3uHlevXgXGEm/c/vjxI8ycORM52NrawtevX7l7rF69GhhjULVqVVCr1dC2bVvkUbJkSSEfiRg8eDAwlvjRh4SEBChSpAjy6Ny5M3cHAIAqVaoAYwxWrlwJnz59AisrK+Qxf/587g4ajQZsbW3ByMgIzpw5A9euXZNdo8eOHePuERISAowlbjAdEhICa9euRQ4mJibw6tUr7h4BAQHAWOK0tqioKBg6dCjyyJ07t5CJhzNmzADGGLRs2RI0Gg1Uq1YNedSpU4e7AwBA69atgTEG06ZN0znxcNSoUUI8ChYsCIwlfpTt+fPnsuEHmzdv5u5APcdQzzHUcwnqOYZ6jqGeS1DP+ZJlF5jJf+3v6ekJZcqUQSesYcOGQjy2bNmi/Z41a9YEJycn5JH8nSSejBo1Svs927ZtK4vKtm3bhHjUrVtX+z07dOggi8r9+/eFeOTIkUP7l23Lli2Rg729PURGRnJ3CAsL035PZ2dnqFGjBvIoXbq0kKgcP34cfc8CBQogjx49enB3AACYP3++9ns2bdoULCwskMeiRYuEeHTp0iXVa/TUqVNCPJLvSdauXTvkYGpqCqGhodwd1Gq19rcO1tbWsnt1PDw8hEw8pJ5jqOf/1979B+lY/3scf392V9jdttp2ke/KsdRkSBQSBkO/nBalUg2jhiQj41c4DhJT6HCMaKJDGTVOfszhyBCnTM2mOL4lneRX5edSEXLyq93c7/PH7t73Xvd9X/fSua7Pddt9Pmauwe7g1X19ernfu/f9+TjR5xH0uRN9HkGfO9Hn/qqyA+bKlStjiqTiVVhYaCXHpEmTXDPY3CGrZ8+erjny8/Ot7ZAV/SbuilePHj2sZPjtt98Sro2JEydayVFYWJgwx4oVK6zkeOONN1wzGGN09+7dVnIMGjTINYfNHQ+jd26reLVt29bKk8RLly7FPCGreA0aNMj3DKqq+/btS7hG582bZyUHfe5En0fQ5070uRN9HkGfO9Hn/pIEA2aaXMX27t3r+rnMzExZs2aNrFy5UoqLiyU1NVWmT58uWVlZVnPUr19fZs6cKcXFxVJcXCy5ubkyZcoUSU1NtZojNzdXxo4dG87RqlUrGTJkiOcZLly4IIcOHXL9vKrKyJEjwzl69eolBQUFnufYt29fws8fPXpURowYEc7xwgsvSMuWLT3PkeiepKamypYtW2Tz5s1SXFwsoVBIpk6dKnXr1rWaIzc3VxYtWhR+LDIyMmTatGlSs2ZNqznq168vkydPDufIz8+XsWPHijHG0wyqmjBHRkaGjBo1SkpKSqS4uFg6d+4sffv29TSDiEhRUZFcuHDB9fNnzpxxrNH+/ftLp06dPM+R6LEQEdm9e7cMHz48nGPChAmSn59vNQd97kSfO9HnEfS5E33uRJ9HVLc+t85t8vz/XLa+g9m/f/+EXyEpv1JSUnzdMSt6tzK367rrrvPtANWSkpKYN9e7XbfeequeOHHClxzffvvtZWUQEb3//vt9e39G9G5lia7hw4f79hXOMWPGXHaOt99+25cMqrG7lbldtWrV0s8++8y3HNHvSXG7brrpJj148KAvGY4fP37Z96R169a+fRX+o48+uuwcTz31lG+bMkTvPpnomjZtmi8ZVOnziuhzJ/rciT6PoM+d6HMn+txfUlVfItuuXbvLumF+bl0eCoU0PT290gzXXHONr4fafv/995f1WNSrV0/379/vW454B07Hu+68805f3zMTfeC029WnTx9fd1Pr1avXZeXwe+vyRo0aXVbRr1q1yrcMZ86cuazHIisrS7/55hvfcmzevPmycjRp0sTXs/2iD5x2u7p16+brRhnRB067XUOHDvX1pWb0eQR97kSfO9HnEfS5E30eQZ/7T6rqgJmdnV3pDXv55Zd9zVBUVFRpBmOMrly50tcc69atqzTHtddeq9u3b/c1x/Tp0yvNkZ+fH96q2S9PPvlkpTm6dOni+7b20TsuxruGDBnia9FfvHhRjTGV5pg/f75vGVRLz9O7nKL3e0OGd955p9IcderU8f18ruHDh1eao2XLluGt9/0SvVFJvOvRRx/1/QB7+jyCPneizyPocyf63Ik+j6DP/SdVccA8ceJEpTfsueee8/3N3Zs2bao0h403Vc+ePTthhho1aujHH3/se45nnnkmYY7c3NzwmVl+atWqVcIcLVq08H1r6pKSkpiDwKOv3r17+170O3furHSNTpo0ydcMqqpLly6ttOiXL1/ue45x48YlzJGZmWnlzLQHH3wwYY5GjRpZ2YAg+vy86KtTp0564cIFXzPQ5070uRN9HkGfO9HnTvR5BH3uP6mKA+bnn3+e8Ib17NnTyq5M8+fPT5hj/PjxvmdQVX3++ecT5rC1BXL79u1dM2RkZOi2bdt8zxAKhWLOSKt4NWzY0Mp24T/88EPCe9KxY0c9f/687zlWrVqVMMfAgQOt7LI3efLkhDlef/113zOoqj7yyCOuGdLS0sKHl/stPz/fNUdOTo7u3bvX9wy///57wnvSvHlzPX36tO856HMn+jyCPneiz53o8wj63Ik+959UxQFz8eLFrjerffv2eu7cOd8zqKqOHDnSNcfTTz9t7eDUrl27uuaYPXu2lQyqqjk5Oa5F/+GHH1rJcPToUdfHIjs729oW7uvXr3fN0axZMz116pSVHDNmzHDNUVBQYG177Hjnk5Vf48aNs5JBVbVZs2auOd577z0rGS5evBhzDlb5lZ6erlu3brWSY/v27a6PRYMGDfTIkSNWctDnTvR5BH3uRJ870ecR9LkTfe4/qYoD5vjx4+PerKZNm+rJkyd9//vLRR9iW351797dymG25fLy8uLmePHFF61lOHnypOv/REuWLLGW45NPPomboXbt2vrFF19YyzFnzpy4OfLy8vTw4cPWcgwYMCBujnbt2lkrelXVu+66K26O/v37Wyv6P//8U2vWrBk3x8yZM61kUFXdtWtX3Aypqam6bt06azmWLVsWN8cNN9yg3333nbUc9LkTfR5BnzvR5xH0uRN97kSf+69KDpi9e/eOuVn169fXQ4cO+f53V9SkSZOYHG3atNGzZ89ay3D27Nm4i7dv376+7qgXbcuWLXFzzJgxw1oGVdUFCxbEZEhJSdEPPvjAao4hQ4bE5Lj++ut1586dVnN06NAhJoftrbBDoZBmZmbG5HjggQesFv3+/fvjrtERI0ZYe1Kkqrp69eq4ORYvXmwtg6rqlClTYjLUqlVLN2/ebDUHfR5BnzvR5070eQR97kSfO9Hn/quSA2bz5s0dN8vPM2zc/PHHH5qamurI0aRJEz1+/LjVHF9//XXM4r333nt93Qo7niVLlsTkGDZsmNWiV1UdNWpUTI6FCxdazaCq2q1bN0eGmjVramFhofUcubm5jhz16tXTAwcOWM1w7NixmHvi55lkbjZs2BCT44knnrBe9K+99lpMjldffdVqBlXVvn37xjxxX716tfUc9HkEfe5EnzvR5xH0uRN9HkGf21HlBsxLly45Xhbh9xk2bvbs2eNYNHXr1tUff/zReo7ly5c7cvh9JpmbCRMmOHI8/vjjvu+oF09BQYEjx9SpU61nUFVt0KCBo+j9PJPMzalTpxyPRVZWlu7YscN6jk8//dSRo3Hjxr6eSeZm7ty5jhxdu3b1/WiDeAYOHOjI4feZZG7atGnjyLFgwQLrGehzJ/rciT6PoM+d6HMn+jyCPrejyg2YBw4cCN8sG2fYuFmzZk04R2ZmZmBn2EydOjWcw9ZW2PE89thj4RxdunTxfStsN7fccks4x+DBgwMp+uiXRbz55pvWM6iqbt26NZyhRo0aumnTpkByvPXWW+EcNs4kczN06NBwjjvuuMP3M8ncdOzYMZzDxplk8YRCIc3KygrneOmll6xnUKXPo9HnTvR5BH3uRJ9H0OdO9LkdVW7A3LhxY/iGzZ0719e/K5GZM2eGi97WVtjx9OvXT0VKt8Let29fYDlatGihIqK3336772eSuSkuLg6/LOLhhx8OpOhVVXfs2BFeoxMnTgwkg6rqu+++G86xbNmywHKMHj1aRUqPNrBxJpmb++67T0VKjzY4duxYYDnq1KmjInbOJHPz888/h9fGs88+G8gTd1X6PBp9HkGfO9HnTvR5BH3uRJ/bUeUGzHnz5qmIvTNs3AwaNEhFRJcuXRpojrZt22p6erqVM8ncXLp0SWvXrq0333yzFhUVBZZj7969KiLaoUMHK2eSuVmxYoWKiA4YMCCwoldVnThxooqIzpkzJ7AMqqo9evTQtLQ03bhxY6A5GjZsqDfeeKPu2bMnsAynT59WEXtnkrkpLCxUEdEePXpYO9ogHvrciT6PoM+d6HMn+jyCPneiz+2ocgPmsGHDrJ5h46Zz5846a9asQDOEQiHNycnR9evXB5rj8OHDmp2drbt27Qo0x9q1a61vhR3PK6+8og899FCgRa+q2qdPHx0zZkygGVRVb7vtNmtnkrk5f/68ZmZmWjuTzM22bds0Ly/P2plkbhYtWqT33HOP1aMN4qHPI+hzJ/rciT6PoM+d6HMn+tyORANmilyFGjduLAsXLhRjTKA5CgoKZPTo0YFm+PXXX2XWrFnSvXv3QHMcOXJE1q5dK02bNg00x7lz52TDhg2SnZ0daI7s7GxZvny5pKWlBZqjbdu2MmPGjEAzlJSUyODBg6Vfv36B5jh48KC8//77cvfddwea48SJE7Jx40bJy8sLNEdKSoqsXbtW0tPTA81Bn0fQ5070uRN9HkGfO9HnTvR58EzpAOqt1q1b65dffun5n1suFApJSkrws3Ey5EiGDOQgRyLlHRP0PzjJ8FiQgxzJnoEc5EiEPicHOa6eDH4zxnylqq3jfS7YL8f9Rclyw5IhRzJkECFHNHJEBP1EpFwyPBYi5IhGjuTKIEKOaOSIoM+dyOFEjuTKEKTq/V8PAAAAAPAMAyYAAAAAwBMMmAAAAAAATzBgAgAAAAA8wYAJAAAAAPAEAyYAAAAAwBMMmAAAAAAATzBgAgAAAAA8wYAJAAAAAPAEAyYAAAAAwBMMmAAAAAAATzBgAgAAAAA8wYAJAAAAAPAEAyYAAAAAwBMMmAAAAAAATzBgAgAAAAA8wYAJAAAAAPAEAyYAAAAAwBMMmAAAAAAATzBgAgAAAAA8wYAJAAAAAPAEAyYAAAAAwBMMmAAAAAAATzBgAgAAAAA8wYAJAAAAAPAEAyYAAAAAwBNGVb3/Q405ISKHPP+DvZMjIr8GHQJIgDWKZMcaRbJjjeJqwDpFsnNbow1VNTfeb/BlwEx2xpgvVbV10DkAN6xRJDvWKJIdaxRXA9Ypkt1fWaO8RBYAAAAA4AkGTAAAAACAJ6rrgPlvQQcAKsEaRbJjjSLZsUZxNWCdItld8Rqtlu/BBAAAAAB4r7p+BxMAAAAA4LFqN2AaYx40xuw1xvxgjPmnoPMA0YwxB40x3xpjdhhjvgw6D2CMeccYc9wYs7PCx7KNMR8ZY74v+/GGIDOienNZoy8bY46WdekOY8w/BpkR1ZsxpoEx5hNjzG5jzHfGmOFlH6dLkRQSrNEr7tJq9RJZY0yqiOwTkftEpEhE/i4iT6nqrkCDARUYYw6KSGtV5VwsJAVjTCcROSsi76pq87KP/YuInFLVGWVfrLtBVccFmRPVl8safVlEzqrqrCCzASIixpibROQmVd1ujLlWRL4SkYdF5BmhS5EEEqzRPnKFXVrdvoPZVkR+UNX9qlosIstEpFfAmQAgqalqoYicivpwLxFZUvbzJVL6jxAQCJc1CiQNVf1JVbeX/fx3EdktIn8TuhRJIsEavWLVbcD8m4gcqfDrIvmLDxzgIxWR/zLGfGWMeS7oMICLuqr6k0jpP0oiUifgPEA8Lxhj/qfsJbS89BBJwRjzDyLSSkT+W+hSJKGoNSpyhV1a3QZME+dj1ec1wrhadFDVO0Wku4gMLXvpFwDgyswXkcYi0lJEfhKRfw02DiBijMkUkf8QkRGq+r9B5wGixVmjV9yl1W3ALBKRBhV+nScixwLKAsSlqsfKfjwuIqul9KXdQLL5pez9GuXv2zgecB7AQVV/UdVLqhoSkYVClyJgxpgaUvrEfamqrir7MF2KpBFvjf6VLq1uA+bfReQWY0wjY8w1IvKkiHwQcCYgzBiTUfbGajHGZIjI/SKyM/HvAgLxgYg8Xfbzp0VkTYBZgBjlT9rLPCJ0KQJkjDEi8raI7FbV2RU+RZciKbit0b/SpdVqF1kRkbKtdeeISKqIvKOqrwYcCQgzxuRL6XctRUTSROTfWaMImjHmfRHpIiI5IvKLiEwWkf8UkRUicrOIHBaRx1WVTVYQCJc12kVKX9KlInJQRAaXv9cNsM0Y01FEPhORb0UkVPbhf5bS97jRpQhcgjX6lFxhl1a7ARMAAAAA4I/q9hJZAAAAAIBPGDABAAAAAJ5gwAQAAAAAeIIBEwAAAADgCQZMAAAAAIAnGDABAAAAAJ5gwAQAAAAAeIIBEwAAAADgif8Ddt9XJvwfkMQAAAAASUVORK5CYII=\n", + "image/png": "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\n", "text/plain": [ "<Figure size 1152x432 with 1 Axes>" ] @@ -540,14 +439,20 @@ } ], "source": [ - "timesteps = 2\n", + "timesteps = 100\n", + "\n", "init()\n", - "#animation = plt.vector_field_magnitude_animation(timeloop, frames=400, rescale=True)\n", + "result = run(timesteps) # get_velocity(ghost_layers=False)\n", + "plt.vector_field(result, step=1)\n", + "\n", + "\n", + "#def create_animation():\n", + "# result = run(1)\n", + "# return result\n", + "#animation = plt.vector_field_animation(create_animation, frames=50, rescale=True)\n", "#set_display_mode('video')\n", "#res = display_animation(animation)\n", - "#res\n", - "result = timeloop(timesteps) # get_velocity(ghost_layers=False) #\n", - "plt.vector_field(result, step=4)" + "#res" ] }, { @@ -559,7 +464,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ @@ -573,21 +478,21 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "metadata": {}, "outputs": [ { "ename": "AssertionError", - "evalue": "\nArrays are not almost equal to 7 decimals\n\n(shapes (100, 30, 2), (98, 28, 2) mismatch)\n x: MaskedArray([[[ 0.0000000e+00, 0.0000000e+00],\n [ 0.0000000e+00, 0.0000000e+00],\n [ 0.0000000e+00, 0.0000000e+00],...\n y: array([[[-2.7755576e-17, -5.8980598e-17],\n [-2.7755576e-17, -5.8980598e-17],\n [-2.7755576e-17, -5.8980598e-17],...", + "evalue": "\nArrays are not almost equal to 7 decimals\n\n(shapes (20, 20, 2), (18, 18, 2) mismatch)\n x: MaskedArray([[[-2.1072287e-06, 3.2065898e-06],\n [-5.4380105e-06, 2.1508323e-05],\n [ 3.6419993e-06, 2.8800305e-05],...\n y: array([[[ 1.9428903e-16, -3.4694470e-17],\n [ 1.9428903e-16, -3.4694470e-17],\n [ 1.9428903e-16, -3.4694470e-17],...", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mAssertionError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m<ipython-input-18-e4aefa1cfce7>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtesting\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0massert_almost_equal\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mreference\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvelocity\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mresult\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m<ipython-input-17-e4aefa1cfce7>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtesting\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0massert_almost_equal\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mreference\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvelocity\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mresult\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;32m/usr/lib/python3/dist-packages/numpy/testing/_private/utils.py\u001b[0m in \u001b[0;36massert_almost_equal\u001b[0;34m(actual, desired, decimal, err_msg, verbose)\u001b[0m\n\u001b[1;32m 582\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mactual\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtuple\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlist\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;31m \u001b[0m\u001b[0;31m\\\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 583\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdesired\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtuple\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlist\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 584\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0massert_array_almost_equal\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mactual\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdesired\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdecimal\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0merr_msg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 585\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 586\u001b[0m \u001b[0;31m# If one of desired/actual is not finite, handle it specially here:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/usr/lib/python3/dist-packages/numpy/testing/_private/utils.py\u001b[0m in \u001b[0;36massert_array_almost_equal\u001b[0;34m(x, y, decimal, err_msg, verbose)\u001b[0m\n\u001b[1;32m 1025\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mz\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m1.5\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0;36m10.0\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mdecimal\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1026\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1027\u001b[0;31m assert_array_compare(compare, x, y, err_msg=err_msg, verbose=verbose,\n\u001b[0m\u001b[1;32m 1028\u001b[0m \u001b[0mheader\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'Arrays are not almost equal to %d decimals'\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0mdecimal\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1029\u001b[0m precision=decimal)\n", "\u001b[0;32m/usr/lib/python3/dist-packages/numpy/testing/_private/utils.py\u001b[0m in \u001b[0;36massert_array_compare\u001b[0;34m(comparison, x, y, err_msg, verbose, header, precision, equal_nan, equal_inf)\u001b[0m\n\u001b[1;32m 762\u001b[0m \u001b[0mverbose\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mverbose\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mheader\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mheader\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 763\u001b[0m names=('x', 'y'), precision=precision)\n\u001b[0;32m--> 764\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mAssertionError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 765\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 766\u001b[0m \u001b[0mflagged\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mbool_\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mAssertionError\u001b[0m: \nArrays are not almost equal to 7 decimals\n\n(shapes (100, 30, 2), (98, 28, 2) mismatch)\n x: MaskedArray([[[ 0.0000000e+00, 0.0000000e+00],\n [ 0.0000000e+00, 0.0000000e+00],\n [ 0.0000000e+00, 0.0000000e+00],...\n y: array([[[-2.7755576e-17, -5.8980598e-17],\n [-2.7755576e-17, -5.8980598e-17],\n [-2.7755576e-17, -5.8980598e-17],..." + "\u001b[0;31mAssertionError\u001b[0m: \nArrays are not almost equal to 7 decimals\n\n(shapes (20, 20, 2), (18, 18, 2) mismatch)\n x: MaskedArray([[[-2.1072287e-06, 3.2065898e-06],\n [-5.4380105e-06, 2.1508323e-05],\n [ 3.6419993e-06, 2.8800305e-05],...\n y: array([[[ 1.9428903e-16, -3.4694470e-17],\n [ 1.9428903e-16, -3.4694470e-17],\n [ 1.9428903e-16, -3.4694470e-17],..." ] } ], diff --git a/lbmpy_tests/test_sparse_lbm_peridocity_only.ipynb b/lbmpy_tests/test_sparse_lbm_peridocity_only.ipynb index 7fbc6e6..e5bb998 100644 --- a/lbmpy_tests/test_sparse_lbm_peridocity_only.ipynb +++ b/lbmpy_tests/test_sparse_lbm_peridocity_only.ipynb @@ -96,7 +96,20 @@ "metadata": { "scrolled": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 1152x432 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "noslip = NoSlip()\n", "flags = {\n", @@ -104,7 +117,9 @@ " noslip: 2,\n", "}\n", "flag_arr = np.zeros(arr_size, dtype=np.uint16)\n", - "flag_arr.fill(flags['fluid'])" + "flag_arr.fill(flags['fluid'])\n", + "plt.scalar_field(flag_arr)\n", + "plt.colorbar();" ] }, { @@ -168,7 +183,8 @@ "periodicity_mapper = SparseLbPeriodicityMapper(mapping, dh, pdf_field)\n", "\n", "def handle_periodicity():\n", - " periodicity_mapper(pdf_arr)\n" + " periodicity_mapper(pdf_arr)\n", + " " ] }, { @@ -204,7 +220,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -213,18 +229,18 @@ "array([[ 0., 19., 2., 3., 85., 50., 105., 7., 98.],\n", " [ 9., 10., 11., 12., 94., 14., 78., 16., 62.],\n", " [ 18., 19., 2., 21., 103., 23., 96., 34., 89.],\n", - " [ 27., 46., 29., 30., 31., 77., 24., 34., 35.],\n", + " [ 27., 46., 29., 30., 31., 77., 96., 34., 35.],\n", " [ 36., 37., 38., 39., 40., 41., 42., 43., 44.],\n", - " [ 45., 46., 29., 48., 49., 50., 51., 61., 8.],\n", - " [ 54., 73., 56., 57., 58., 104., 51., 61., 62.],\n", + " [ 45., 46., 29., 48., 49., 50., 51., 61., 98.],\n", + " [ 54., 73., 56., 57., 58., 14., 51., 61., 62.],\n", " [ 63., 64., 65., 66., 67., 68., 69., 70., 71.],\n", - " [ 72., 73., 56., 75., 76., 77., 78., 88., 35.],\n", + " [ 72., 73., 56., 75., 76., 77., 78., 16., 35.],\n", " [ 81., 100., 83., 3., 85., 23., 78., 16., 89.],\n", " [ 90., 91., 92., 12., 94., 50., 96., 34., 98.],\n", " [ 99., 100., 83., 21., 103., 14., 105., 7., 62.]])" ] }, - "execution_count": 12, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } -- GitLab