diff --git a/notebooks/vn_tests.ipynb b/notebooks/vn_tests.ipynb new file mode 100644 index 0000000..1397975 --- /dev/null +++ b/notebooks/vn_tests.ipynb @@ -0,0 +1,548 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "import torch.nn as nn\n", + "from einops.layers.torch import Rearrange\n", + "from torch import nn, einsum, Tensor\n", + "\n", + "import random\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "\n", + "import random\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "from PIL import Image\n", + "import io\n", + "import itertools\n", + "\n", + "from reni.utils.utils import find_nerfstudio_project_root, rot_z, rot_y\n", + "from reni.field_components.vn_layers import VNInvariant, VNLinear, VNReLU\n", + "\n", + "import plotly.graph_objects as go\n", + "\n", + "def get_3d_vector_plot(latent_code, vectors_to_show, seed=42, axis_size=2):\n", + " \"\"\"\n", + " Plots a subset of 3D vectors from the latent code using Matplotlib and returns the plot as an image array.\n", + " The quivers are colored with a repeatable set of colors.\n", + "\n", + " :param latent_code: torch.tensor -> [N, 3]\n", + " :param vectors_to_show: int\n", + " \"\"\"\n", + "\n", + " random.seed(seed)\n", + "\n", + " # Define a list of colors\n", + " colors = ['red', 'green', 'blue', 'purple', 'orange', 'cyan']\n", + " color_cycle = itertools.cycle(colors)\n", + "\n", + " fixed_arrowhead_size = 0.2 # Adjust this value as needed\n", + "\n", + " # Ensure the latent code is a 2D tensor with shape [N, 3]\n", + " if len(latent_code.shape) != 2 or latent_code.shape[1] != 3:\n", + " raise ValueError(\"latent_code must be a 2D tensor with shape [N, 3]\")\n", + "\n", + " # Ensure vectors_to_show is not greater than the number of vectors in latent_code\n", + " vectors_to_show = min(vectors_to_show, latent_code.shape[0])\n", + "\n", + " # Select a random subset of vectors\n", + " indices = random.sample(range(latent_code.shape[0]), vectors_to_show)\n", + " vectors = latent_code[indices]\n", + "\n", + " # Initialize 3D plot\n", + " fig = plt.figure()\n", + " ax = fig.add_subplot(111, projection='3d')\n", + "\n", + " # Add vectors to the plot\n", + " for vector in vectors:\n", + " vector = vector.cpu().numpy() # Convert tensor to numpy array\n", + " length = np.linalg.norm(vector) # Calculate the length of the vector\n", + "\n", + " if length > 2:\n", + " # Normalise the vector to length 2\n", + " vector = (vector / length) * 2\n", + " length = 2\n", + "\n", + " # Adjust arrow_length_ratio to maintain consistent arrowhead size\n", + " arrow_length_ratio = fixed_arrowhead_size / length\n", + "\n", + " # Plot the vector with a color from the color cycle\n", + " color = next(color_cycle)\n", + " ax.quiver(0, 0, 0, vector[0], vector[1], vector[2], color=color, length=length, \n", + " normalize=True, arrow_length_ratio=arrow_length_ratio)\n", + "\n", + " # Setting the ticks on each axis\n", + " ax.set_xticks([-axis_size, 0, axis_size])\n", + " ax.set_yticks([-axis_size, 0, axis_size])\n", + " ax.set_zticks([-axis_size, 0, axis_size])\n", + "\n", + " # set axis labels as x, y and z\n", + " ax.set_xlabel('x')\n", + " ax.set_ylabel('y')\n", + " ax.set_zlabel('z')\n", + "\n", + " # remove grid\n", + " ax.grid(False)\n", + "\n", + " # Save the plot to a buffer\n", + " buf = io.BytesIO()\n", + " plt.savefig(buf, format='png', bbox_inches='tight')\n", + " buf.seek(0)\n", + " img = Image.open(buf)\n", + " img_array = np.array(img)\n", + " buf.close()\n", + "\n", + " plt.close(fig) # Close the figure to free up memory\n", + "\n", + " img_array = img_array[30:410, 20:395, :3]\n", + "\n", + " return img_array" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "equivariance = \"SO2\"\n", + "axis_of_invariance = 2 # z-axis\n", + "\n", + "Z = torch.randn(1, 10, 3) # [1, latent_dim, 3]\n", + "D = torch.randn(1, 3) # [1, 3]\n", + "\n", + "rotation = rot_z(torch.deg2rad(torch.tensor(90.0)))" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot the latent code and the direction side by side\n", + "latent_img = get_3d_vector_plot(Z[0], 10)\n", + "direction_img = get_3d_vector_plot(D[0].unsqueeze(0), 1)\n", + "\n", + "fig = plt.figure(figsize=(10, 5))\n", + "ax1 = fig.add_subplot(121)\n", + "ax1.imshow(latent_img)\n", + "ax1.axis('off')\n", + "ax1.set_title(\"Latent Code\")\n", + "\n", + "ax2 = fig.add_subplot(122)\n", + "ax2.imshow(direction_img)\n", + "ax2.axis('off')\n", + "ax2.set_title(\"Direction\")\n", + "\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "assert 0 <= axis_of_invariance < 3, \"axis_of_invariance should be 0, 1, or 2.\"\n", + "other_axes = [i for i in range(3) if i != axis_of_invariance]\n", + "\n", + "z_other = torch.stack((Z[:, :, other_axes[0]], Z[:, :, other_axes[1]]), -1) # [num_rays, latent_dim, 2]\n", + "d_other = torch.stack((D[:, other_axes[0]], D[:, other_axes[1]]), -1).unsqueeze(1) # [num_rays, 2]\n", + "d_other = d_other.expand_as(z_other) # size becomes [num_rays, latent_dim, 2]\n", + "\n", + "# in order to plot in 3d we need to add the z-axis back but with zeros\n", + "z_other_expand = torch.cat((z_other, torch.zeros_like(z_other[..., :1])), -1) # [num_rays, latent_dim, 3]\n", + "d_other_expand = torch.cat((d_other, torch.zeros_like(d_other[..., :1])), -1) # [num_rays, latent_dim, 3]\n", + "\n", + "# plot z_other and d_other side by side\n", + "latent_img = get_3d_vector_plot(z_other_expand[0], 10)\n", + "direction_img = get_3d_vector_plot(d_other_expand[0], 10)\n", + "\n", + "fig = plt.figure(figsize=(10, 5))\n", + "ax1 = fig.add_subplot(121)\n", + "ax1.imshow(latent_img)\n", + "ax1.axis('off')\n", + "ax1.set_title(\"Latent Code\")\n", + "\n", + "ax2 = fig.add_subplot(122)\n", + "ax2.imshow(direction_img)\n", + "ax2.axis('off')\n", + "ax2.set_title(\"Direction\")\n", + "\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "vn_proj_in = nn.Sequential(\n", + " Rearrange(\"... c -> ... 1 c\"), VNLinear(dim_in=1, dim_out=1, bias_epsilon=0)\n", + ")\n", + "dim_coor = 2 if equivariance == \"SO2\" else 3\n", + "vn_invar = VNInvariant(dim=1, dim_coor=dim_coor)\n", + "\n", + "# z_other_emb = vn_proj_in(z_other) # [num_rays, latent_dim, 1, 2]\n", + "z_other_emb = z_other.unsqueeze(2) # [num_rays, latent_dim, 1, 2]\n", + "z_other_invar = vn_invar(z_other_emb) # [num_rays, latent_dim, 2]\n", + "\n", + "# add the z-axis back but with zeros\n", + "z_other_emb = torch.cat((z_other_emb, torch.zeros_like(z_other_emb[..., :1])), -1) # [num_rays, latent_dim, 1, 3] # linear projection with expanded dim\n", + "z_other_invar = torch.cat((z_other_invar, torch.zeros_like(z_other_invar[..., :1])), -1) # [num_rays, latent_dim, 3]\n", + "\n", + "# plot z_other, z_other_emb and z_other_invar side by side\n", + "latent_img = get_3d_vector_plot(z_other_expand[0], 10)\n", + "embedding_img = get_3d_vector_plot(z_other_emb[0, :, 0, :].detach(), 10, axis_size=1)\n", + "invariant_img = get_3d_vector_plot(z_other_invar[0].detach(), 10, axis_size=0.5)\n", + "\n", + "Z_rot = torch.matmul(Z, rotation)\n", + "z_rot_other = torch.stack((Z_rot[:, :, other_axes[0]], Z_rot[:, :, other_axes[1]]), -1) # [num_rays, latent_dim, 2]\n", + "z_rot_other_expand = torch.cat((z_rot_other, torch.zeros_like(z_rot_other[..., :1])), -1) # [num_rays, latent_dim, 3]\n", + "\n", + "# z_rot_other_emb = vn_proj_in(z_rot_other) # [num_rays, latent_dim, 1, 2]\n", + "z_rot_other_emb = z_rot_other.unsqueeze(2) # [num_rays, latent_dim, 1, 2]\n", + "z_rot_other_invar = vn_invar(z_rot_other_emb) # [num_rays, latent_dim, 2]\n", + "\n", + "z_rot_other_emb = torch.cat((z_rot_other_emb, torch.zeros_like(z_rot_other_emb[..., :1])), -1) # [num_rays, latent_dim, 1, 3] # linear projection with expanded dim\n", + "z_rot_other_invar = torch.cat((z_rot_other_invar, torch.zeros_like(z_rot_other_invar[..., :1])), -1) # [num_rays, latent_dim, 3]\n", + "\n", + "# plot z_other, z_other_emb and z_other_invar side by side\n", + "latent_rot_img = get_3d_vector_plot(z_rot_other_expand[0], 10)\n", + "embedding_rot_img = get_3d_vector_plot(z_rot_other_emb[0, :, 0, :].detach(), 10, axis_size=1)\n", + "invariant_rot_img = get_3d_vector_plot(z_rot_other_invar[0].detach(), 10, axis_size=0.5)\n", + "\n", + "# plot first row unrotated and second row rotated\n", + "fig = plt.figure(figsize=(10, 5))\n", + "ax1 = fig.add_subplot(231)\n", + "ax1.imshow(latent_img)\n", + "ax1.axis('off')\n", + "ax1.set_title(\"Latent Code\")\n", + "\n", + "ax2 = fig.add_subplot(232)\n", + "ax2.imshow(embedding_img)\n", + "ax2.axis('off')\n", + "ax2.set_title(\"Embedding\")\n", + "\n", + "ax3 = fig.add_subplot(233)\n", + "ax3.imshow(invariant_img)\n", + "ax3.axis('off')\n", + "ax3.set_title(\"Invariant\")\n", + "\n", + "ax4 = fig.add_subplot(234)\n", + "ax4.imshow(latent_rot_img)\n", + "ax4.axis('off')\n", + "ax4.set_title(\"Latent Code (Rotated)\")\n", + "\n", + "ax5 = fig.add_subplot(235)\n", + "ax5.imshow(embedding_rot_img)\n", + "ax5.axis('off')\n", + "ax5.set_title(\"Embedding (Rotated)\")\n", + "\n", + "ax6 = fig.add_subplot(236)\n", + "ax6.imshow(invariant_rot_img)\n", + "ax6.axis('off')\n", + "ax6.set_title(\"Invariant (Rotated)\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 146, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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KKaXUGWecobp163ZS57hixQo1fvx41bRpU+VyuVSTJk3U+PHj1cqVK8u9/vTp09Upp5yi3G636ty5s3r//ffV448/rsp+NNatW6eGDh2qYmNjFaCuu+46pZQque6aNWvUZZddphITE1VKSoq66667lM/nK3UMr9erbrzxRpWUlKQSExPV2LFjVWZmpgLU448/Xuq6Tz31lGrevLnSdV0BauvWrSf1vAghRG1QXh657rrrVHx8/BHXLS8WK6WU4ziqZcuWClB/+ctfyv39M888o1q3bq08Ho869dRT1dSpU9V1112nWrduXXK9rVu3KkA999xzRxwj/Lu33nqr5LJdu3apMWPGqOTkZJWUlKQuv/xytWfPniNiePi8Dxw4UO5jj4znR8stx5KZmanuv/9+1aFDB+XxeFRycrIaPny4+uqrr8q9/ubNm9Xw4cOVx+NRjRs3Vn/84x/VjBkzFKB++OGHkusVFhaqK6+8UiUnJyug5Ln64YcfFKA+/PBD9cgjj6j09HQVGxurRo0apbZv337E/f3jH/9QzZs3Vx6PRw0aNEgtWrRInXHGGeqMM84odb0vv/xSde3aVZmmecRzLeoOTakTnJUkhOCJJ57gySef5MCBAyWb6wkhhBB1xY8//siZZ57JJ598UimrS4r6ReZoCCGEEEIIISqdFBpCCCGEEEKISieFhhBCCCGEEKLSyRwNIYQQQgghRKWTHg0hhBBCCCFEpZNCQwghhBBCCFHppNAQQgghhBBCVDopNIQQQgghhBCVTgoNIYQQQgghRKWTQkMIIYQQQghR6aTQEEIIIYQQQlQ6KTREhSmlkG1XhBBC1CaSm4SovcyaPgFR+4UDuOM42LaNpmnouo6maSVfQgghRHWS3CRE7SeFhqgQ27YJBoP4/X50XS/5Mgyj5GcJ7kIIIaqT5CYhajcpNMRRKaVKWops2y5pPVJKYVlWyfXCgdwwjFLBXddDI/MkuAshhKgskpuEiB6akoGNohxKqZIg7jhOyWXBYLBUcI4M8GHh4B5uVSrbsiSEEEKcCMlNQkQXKTTEERzHwbIsbNsGDrf6hC+PvAxKB/Lygnu4y9owDEzTLAny0pUthBCioiQ3CRF9pNAQJcLd0eFAXjbYOo5T0mp0rCB8rOCulCrVomSaZkmrkgR3IYQQZUluEiJ6SaEhgMPd0ZZllQTecGDVNK0k0FckmJd37LL/jlyOUIK7EEKI8khuEiK6SaFRz4WDannd0ZE/n0wwL3t/RzuH8FdkV3bZ4C6EEKLuk9wkRN0ghUY9FtkdHZ5UF9lSVN51TzaYl3cO5V0W+RWerCfBXQgh6j7JTULUHVJo1DORL3d4/fFwwAwrL0hWVTA/1vmVve/I8yvbqlTe+UiwF0KI6CC5SYi6SQqNeiRy0lvkmNeKrCkebsEJBALVOj71aGNoI1u5wmNoXS7XUVuUJLALIUTtJLlJiLpLCo16IjKQB4PBUsGwIoEuHESDwWDJ7WpaZBd25OMJr48eblEyDKPU7WrDuQshhJDcFKk2nLsQlU0KjXog/BKX7Y4+3tU5alswLysysIcn7oVblSIDe9nHXhsfixBC1HWSmyQ3ibrPrOkTEFUrHODCgRyos5PVIoM3lH7s4c2cIneEjQzu4dtHfhdCCFE1JDdJbhL1g/Ro1GFHW7njRIJVNLQaHUtk93zZyXuRO8JG7gorwV0IISqf5KbDJDeJuk56NOqg8lpL6vsGQ5GBWdf1UmNow89RuNs+3JJUXnCvz8+hEEKcDMlNR5LcJOo6KTTqmGOtPy4OKxuYywvu4etFBvbwuukS3IUQouIkN1WM5CZR10ihUUdETjYLLw0I0lpUUccK7rZtl9qZtmzLkgR3IYQon+SmkyO5SUQ7KTTqgHAQt2271KoWIC1GJ+powR0oFdzDgby8lqXwcYQQoj6S3FT5JDeJaCOTwaNc2e7oqloaL9on3FWWyI9L5CS+sHBgl+AuhKjPJDdVL8lNoraSQiNKle06reqWIgnm5Stvd9jw98g14SPXS48cSyuEEHWJ5KbaQXKTqC1k6FQUipwYFjk+M/K7qB5He77Dl4db9RzHIRgMlrQeld0dVsbQCiGineSm2kNyk6gtpEcjykQuDeg4TklwgKoN5NJqdGLKa1WKHFMLlLQoRbYqSXAXQkQTyU3RRXKTqC5SaESJo60/Hvm9Ou5fgvmJK++jFhncw0MMwi1KkcEd5DkXQtQ+kpuin+QmUZWk0IgCkYG07Prj1fUBl2Be+Y4V3CNf5/KCuzz/QoiaJrmpbpLcJCqTFBq1WPilCY+hjJxUB9UbUCWYV72KtCqFJ+uV16oUSV4fIURVkdxUv0huEidDCo1aqrZNqpNgXv0qMoa2bKtS5HKFkeT1EkJUBslNQnKTOB5SaNQykS1F4UBeG8ZBSjCvXSIDe2RX9tEm70WS104IcbwkN4mKkNwkypJCoxaJ/HCWXbmjpj+AEsxrt7LBPbwySHhzpnBwD18WJq+jEOK3SG4SJ0pyk5BCo5aobd3RZUUG8/B4TFF7RQb28PjpspszlbdqSG14rwkhag/JTaIySW6qf2TDvhpWXnd0+IMnHyxxoiKDNxy5W2/4OuGgXnZXWAnuQtRvkptEVZDcVP9IoVGDyn7AIrsV5UMkKlNkcA//AVF27ftwMA8H9rIbNMl7Uoj6QXKTqC6Sm+o+KTRqQGRLUTiIR3b5yodGVKWyLUKRY2jLa1WKDPLhhCDBXYi6R3KTqEmSm+omKTSqWTiQR7YUAfLhEDWm7HsvcpnCcItS+HrltSxJq5IQ0U9yk6htJDfVDTIZvBpFVubhD0m0jDeUCXf1V2RwL7tOeji4hwO7BHchoo/kJhGNJDdFB+nRqAZlJ9VJS5GIJpHv07JBvWx39tEm8YV/L4SoPSQ3iWgmuSk6SI9GNYhcGjD8dEdbIJdWI1FWebvDlr28bIvS0TZqEkJUP8lNoi6S3FS7SKFRxRzHIRgMlloaEKKvgg6/TYLBYKnNmoQIO1Zwj1wvPTKwS3AXomZIbhL1heSmmiWFRhWJHO9aV5YGDLcaSTAXFVFecI8cUxsZ3CM3aor2z4kQtZnkJlHfSW6qXlJoVIFwd3TZVRGi/Q0qwVycqPLCTGRwD7cqhXeHDQd3Wa5QiMojuUmI0iQ3VT0pNCpZuKWobHc0RF+XdFkSzEVlOVZwj5yQqus6LpfriOAuhDg+kpuE+G2SmyqfFBqVIHKVA8uySnW/RX6PdpETByWYi8pU0eAe7sqODO5l1ZXPmxAnS3KTECdHctPJk+VtT0LkhKJoXH9ciNqi7GclcoJeOGCX/ZyFVwwJB/fwKiJlE4N8DkV9I7lJiMohuenkSY/GCYpcfzz8BqsLk+qORbqnRW1Qdvxs5BjayMl7keukh9XVz6YQYZKbJDeJmiG5qXxSaJyAY3VH1+U3iwRzURuVDexhkcsUmqZZ7h9bdfnzKuofyU2Sm0TtIbkpRIZOHYdjdUfXpTeFENGk7OcvHNTL7gwb2aoUblGK5v0DhAiT3CRE7SO5KUR6NCqobHd02a3t6wNpNRLRqLxWpcjlCsNBvq4Fd1E/SG6S3CSiU33JTdKjUQGRKwzUp+5oIeqCyM9pZMuv4zj4/f5SE/vCgb0uBHdR90luEiJ61ZfcJIXGbwi/6OGWIqVUvV4vub4+blE3lA3M5Q05KS+4h3/2+/14PB5MU0KnqFmSm0qrr49b1A11OTdJH+MxRL7A4e7o+hzIhahrIgN3ZGsRhCbUBoNBiouL8fl8FBYW8sYbb7Bq1aoaPmtR30luEqJuq0u5SQqNcoRbioLBYMm4z7q+PKAQ4sjgHvnHm2VZTJo0iW3bttXsSYp6S3KTEPVTNOem2tfHUsMiVwSI3PUx8nt9Js+BqE/CwX3Tpk0EAgGKioqIj4+v9PvJysri+++/Z/78+ezbt49x48Zx7rnnEhMTU+n3JaKT5KZjk+dA1CfRlJukRyOCUgrLso5oKQIJYkLUZz/99BMPPPAA27Zt44MPPuDzzz9n+/btJX/wnayCggL27t1LUlISS5cuZcOGDSVLlAohuUkIUZ5oyE2yvC1HTqoDaSkqT+S4YFlCUNQnBw4cYPfu3VxwwQWMHz+ezMxMcnNzue6667juuutO+vh+v5+CggJ0XeeKK67gnHPO4fbbbychIaESzl5EK8lNFSO5SdRX0ZCb6v3Qqcgxr5FLA0Z+F6VJbSrqm0aNGpGYmIimadxxxx00btwYr9eLx+OplON7PJ6SY9XGVUNE9ZPcdPwkN4n6JhpyU73OaOHu6MhdVMMkkJdPArmor4qLi3Ech8aNG5Oenl7TpyPqMMlNx09yk6ivantuqpeFRniTo2AwWGppQJAgLoQoX1FREZqmER8fL3FCVAnJTUKI41Xbc1O9KTQiWzvCu6jKpDohREUVFhZiGAaxsbE1fSqiDpHcJIQ4GbU9N9WLQqPs1u7BYBAovf27EEIci8/nIy4urkpiRrglO/LfjuMc8QenqFskNwkhTlZtz031otCAw2NeI1fukEAuhKiowsLCKuua9vv9bN68mczMTLKzs9myZQtz586lVatWZGRkSKyqwyQ3CSFORm3PTXV6HbhwJeY4DoFAoGRiXeSOikIIURFVtSESQHZ2Nv/5z3+46aabyMrKYsaMGdx111289tprJa3cou6Q3CSEqCy1PTfV2X00woE8vLa2UkqC+EkKP5/BYBDDMGr6dISoNkopPv/8c15//XV+/vnnmj4dEcUkN1U+yU2ivoqG3FQnh06FW4rCk+pAWoqEECcn3D0txImS3CSEqGy1PTfVqUIjsjs6vMmRLA0oRN2hFAQCUFAAjRpV730XFhbKTt3ihEhuEkJUldqem+pMoREO4rZtY9u2BPIqIs+lqAmBAGzbprFuncGGDRrBIPzud0FiYqrvHIqKimp1MBe1k+Sm6iHPpaivantuqhOFRnh8pm3bpbqjQYKPENHK74dNmzRWrzZYvVpn/Xqd1asNtm/XaNbMoX9/m7PPdqrtfGp7MBe1j+QmIURVq+25KaoLjchJdeGWItngqOrJcyuqSnFxqLhYssRg6VKdTZsMtm3T2LVLJ7T6p4bHozj9dIf09Opdx6KwsJDk5ORqvU8RnSQ31Qx5bkV9VNtzU9QWGuVNqpNALkR0chyYNcvg009NNm3S2b1bZ/9+jZgYRVGRRnhtPLdbcfPNAW64IUiHDtVbaHi9Xlq2bFmt9ymij+QmIUR1qu25KeoKjfBqvJFLA0oQFyK6aRps3qwzc6aJYUDHjjZgkJkZWWTA73/v57rrrOPvzVAKgsHQQU5QUVERcXFxJ3x7UbdJbhJC1ITanpuiqtAId0eX3UU18rsQIvpoGpxxhkXjxg7z5hl8842LAwcOFxkeD/z1r8VcfrlFgwYVPKjXi758OcacOZjffgtK4fv++xM+x9q+soeoOZKbhBA1pbbnpqgpNCK7o23bLplQBxLIhYh2SoHfr/H55yY//WSSm6vRoIGioEAjIQFeeaWYkSOtY68yFQyibdmCMW8e5s8/oy9ejJaXh1ZcDD4fGAbmpElY48ad0DnW9gl3omZIbhJC1KTanpuiotCI3EXVcRxZtUOIOqSgAD791OTll91s2aKTlubQooVi716dBg0Ub7/tY8gQB5erzA2VguxsjAULMH78EXPOHPSdO0PLVVkWhFuWAQVYZ52FdeGFJ3yeXq+3VgdzUf0kNwkhalptz021utAIj3kNBoMl3dESyIWIfkqFvjZv1vjb39x8+aULy4Izz7TIygotaZuaqnjvPR/9+ztENBKHeL24Jk3C89hj4PWGZpM7DsTFodxutGDw8H2ZJsUvvIA1fjyYFQx54TFbh+KMUgqv11urd18V1UdykxCiNoiG3FQrC41wEA/vohrZUgQSyIWIVuG/371e+Pprk7/8xc327TotWzpceWWQpUsNVq82aNJE8eabPvr0CRUZR3zk3W6cxo3B78fp2BG7Vy+0Awcwfv0VLS/v8P01b47vrbdwTjutnIOUOalw9RNWprqp7d3ToupJbhJC1Da1PTfVukIjHMgty8KyLEBaioSoC5QKjWbauVPj6ac9TJ5sEhMDo0ZZXH11gC++cPHDDyZt2jj8+9/F9OnjYBhHOZhhYJ9xBt7p0zEWLsT1n/+gb9kChhEqKHQdu18/il97DdWmzeEiI1xIhHtAHAf8frQdOzAWL8aYNQvzp5+wTzuN4pdfhrQ00DSUUrU+mIuqJblJCFHbRENuqjWFRjiIK6VKWopAVu4Qoi5wHMjPh6lTTZ56ysOBAxpt2jjcckuQa64JkpWl8emn0KOHzdNP++nb9yhFhlKhg+XlYcybh/uFFzAWLQLDQDVsiObzgVIEL7kE/xNPQHp66PrBYGjeRjCIVlCAvmoVxpIl6EuXoq9Ygb5/P+EIowBj7ly0oiJUWtqhu6393dOiakhuEkLUVtGQm2pFoRG5/rht26UCuQRxIaKXUlBYCBs36jz7rJvp001SUxXnn2/x0EN+evYMffYTExWPPhrA7VY0bsyRRUa4wMjNxVizBtcrr2DOmBEaQtWuHSohAX3rVlRcHMHbbiNw882QkgKAvmgRxvz56CtXYqxcib5pU+hYug62jRYxXEodGpIVuOWWUJFxKP4UFRWhlKrVrUai8kluEkLUZtGQm2q80AivPx5euQOkpUiIusDvh127NCZPNnnpJQ+WBd2729x4Y5Dx449cqrZNm6NswqcUWlYW2qZNuN57D9dnn4Fp4nTujH3KKWi5uZizZ+O0aEHgnnuwRo+GxMSSm7tffRVz+nRUXBy43aikJHAclMeDnp2NCgRCV0xJwRo8mMADD+D06FFq4nhRURG6rtfqViNRuSQ3CSFqu2jITTVWaEROqgu3FoG0FAkR7RwH9u7VWLBA55VX3CxdatCmjcNZZ9nccUeAdu0quKu3UmgHDqCvX4/5xReYH3+MZlk4XbpgDRqEatEC47vvMBcswO7Th8Ddd2OfeWZod78I1oUX4qSmgsuF5jho69djLlyIlp8fmjTicuG0bo11xRUEr7kG1bTpERPHCwsLcblcuE9iZ3ERHSQ3CSGiRTTkphopNKQ7Woi6qaAAli3TmTzZxWefmXg8ocneV10VZPhwu8Kry3LwIMby5RjTp+P67DO03FycU04hOHgw1iWXoNLS8DzwAMaSJVgXXkjglltwevc+csxVTg5O06ZobdpgfvstxsKFoZ4NCPVYxMZin346gWuvxR4+HI7SKhTeeVU/Yp1dUZdIbhJCRJNoyE3VXmhId7QQdY9th/bEmDbN5OOPXWzZonHqqQ4XXmhx6aVBIqY7HFteHsbSpRgzZ2J+8w36zp3YPXpgX3kl1nnn4fTpEyoQCgqwLrggVHyMG4dq377UylLa/v3oS5dizJ2L+eOP6CtXolq1wuncGe3gwdAflAkJWKNHExw/HueUU8qZGHJYOJiLuktykxAi2kRDbqq2QqNsS5Ft2yWtRBLEhYheubnw008Gkye7mD3bICVFcdNNQS6+2KJXL6dkxdlj8nrRly/H/PZbzFmz0DdswOnSJTTn4qyzcPr2Bbf78IESErAuvxx8PkhODl3mOGi7dmHMm4fx888YCxagb9mCk5FB8Jpr0HfvRsvMRDt4ELtXL4LXXos1cmRoZarfUNuXDxQnTnKTECJaRUNuqpZCI7KlyLZtlFISyIWIcpYF69frTJpkMm2ayf79GkOH2lx+ucXQoRYpKRUoMIJB9PXrMb78EvP779HXrEG1aEHgzjuxzzoL+9RTQ8OZyh5I00JzMTye0MpRO3ZgzpyJMXs2xtKlaJmZ2L164R83DpWQgLFwIfqaNWh5eQSvuirUi9G7d6h4qYDCwkLi4+MlXtUxkpuEENEsGnJTlRcaSikcx8GyLFl/XIg6QKnQXIyvvjKZONHFypU6TZooHnwwwHnnWbRpo37773fHQdu9G3PyZMxp09DXrYP4eILXXot9/vnY3buHeiqONe7UttG2b8f86qtQkbJuHRQU4PTrR/C++0K9IEVFeP78Z4zFi3FatMD/yCPYI0agmjWr4FiukGjonhbHR3KTECLaRUNuqtJCI3K8a7h7WlqKhIhejgNr1+r8618ufvrJpKhI45xzLK6/PkDPng4NGvzG3+9KQX4+5qef4vroI/QNG8BxsM89l+C4cTg9eqBSU485XwLbRtu6FddHH2HMmIG+fTtaIIA1YADW2LHYvXujmjeH2Fg4eBDN68W64AIC99yDk5ERuvw4RUMwFxUnuUkIURdEQ26qskIj3FJkWVapAC6BPPrJa1j/KAXFxfD66y7eeMPF3r06zZo5/OEPfs4/36ZhQ3XsFaWUAtvGmDIF92uvoa9bh+bzYZ92GoFbb8Xp3x+VnAwu1zGPoa1fj/uttzC+/RY9KwuUwho6lOBVV+H06YNq2LD0XI6GDfG9/TYkJqIaNTp2D8kxRMM4WFExkpvqLnkNRX0TDbmp0guNyPGukZPqQIJAXRIeyyzqh8WLdf7f//OwYoWBbcNFF1k88ICftm0VHs9v92Los2fjee45jGXLwOfDad8e/333YZ1zDiQlhVaSOsZB9MWLcb/2GsaMGWhFRaBpWOecQ3DChNA8joSE8o+haah27Up+PlHR0Gokjk1yU/0guUnUJ9GQmyq10FBKlbQUARLI6ygJ5PVHfj4895yb//3PTXExNG/u8NRTobkYHs9vdxBoy5fjefZZzB9+AL8f1bAhgYcfJnjVVaEC41hLUjkO+uzZuF9+GXPOnNDtdZ3g6NEEb7kltHu32x06iWO9HyvhvVpYWEijRo1O+jiiZkhuqh8kN4n6JhpyU6UVGuFAHgwGjxjrKh98IaLHoSHrzJpl8Ic/eNi8Wce2YcKEAI8+GiA1NfS3e7kf6/B49x07cP/zn7g++gh8PpTbTfDuuwncdReEhzCVPUD4ji0LY+ZM3C++iPHrrxAMolwugtdcQ/DOO0N7ZlRozdzK4/V6SUxMrLb7E5VHcpMQoq6KhtxUqT0amqaV2p1QgrgQ0UOp0NeBA/B//+dm4kQ3Ph906ODw/PN+hgyxgWMUGEpBdjaut9/G/eqraFlZKMPAHj8e/yOPoFq1otwDhG9bXIwxa1aowFi6FCwLlZhI8NZbCd5xR2ilqKOeQNXyer3EhXcUF1FHcpMQoi6KhtxUaYWGrD0uRPRSCvx+mDnT4JlnPKxbpxMTo7j//iAPPBAodyuLkhs6DhQUYHz7LZ4XXkBfvx5ME+uccwj88Y84PXuWP8bq0ARxCgowfvoJ9yuvYCxZAkrhpKdjXXMNgZtuouLbiledwsLCWt9qJMonuUkIUVdFQ26qtp3BhRC1j1IQDMKOHRr//a+bjz5yUVwMp51m88QTfvr2dcpfaTZcYBQWhiZqh+dRGAZ2//4E7rkHe/jw0IZ65d02EEDLyUGfMwf3//6HsWgRuFw4bdtijRtH4KqroHHjGi8wwqJhZQ8hhBD1SzTkJik0xHGRVsG6w7YhNxd++sngpZfcrF5t0KSJw913B7nhhmD5O3uHhznl56Nv2IDrnXcwv/oKzXGwMzIIXn011qWXcsSNw/MvvF60zEyMn3/G9c47oSFSCQk4PXsSHDMG69JLUU2b1poCA0Jj/IuKioiPj6/pUxFCHIXkJlHfREtuqvQ5GpqmlWyAJOomCejRTSnw+WDdOp0PP3TxyScmug4jR1rcdluAvn2d8nf2DhcYmzdjfvEFrkmT0AoKcNq3J3D++Vjjx6PatCl/DkZODvru3Rg//YTrww/R16xBpaVhDxyIddFFWBdcUOsKjEhFRUU0aNCgpk9DnCDJTfWD5CZR30RDbpIeDSHqiXBnxM6dGj/+aPDmm27WrdPp2tXm0kstLrvMokmTo/whVlCAvmED5qxZuCZORNuzB6dDh1AvxKEdvY8YY2XbaPv2oW/ejPHDD5iffYa+cydOy5ZY556LNWpUaB+Nxo2r/sGfpGhYq1wIIUT9Eg25SQoNIeoBpaCgABYsMJg82eTrr02SkhRXXBFk/Pggffs65W/K7fWir1wZGur02Wfoa9fidOqEddVVBEePxhkw4Mh5GMEg2o4d6CtWYP7wA+a336JlZ+N06kRw3DisESOwhw0LDa+KAuHu6doezIUQQtQf0ZKbpNAQoo5zHFi+XGfqVJPPPjPZs0dn8GCb0aODjBxpkZZWzo38fvTlyzF+/BHXt9+iL16M06EDgeuvxz73XOzBg0O7cZe9zaZN6AsWYM6ejTF7Nprfj92zJ/a4cdhnnIE9YADU8vGkZQUCAQKBQK1f2UMIIUT9ES25SQoNIeqwffs0vvjCZMoUkwULDNq0cfjd7/yMGmXTtWs5K0pZFvqqVRjffYf5/fcYixfjNG1K8Oabsc4+G/v00yE5ufRtfD70tWtDw6PmzkVfsgQAe8AA7KFDsU87Dad7d3C5au0cjGMpLCwEqPXBXAghRP0RLbmp0ieDCyFqXiAQ2tl70iSTn3828Xo1xo8PMmaMRf/+NkfEJcdB27IFc8oUzFmzMJYuRcXHE7zuOqxzzsHu3Zsjuj58PvRlyzC//RZj/nz0devA48EaPhz77LOxTz01tIu3aUZlgRHm9XoxDIPY2NiaPhVxgiQ3CSHqmmjJTdKjIUQds2mTxltvuZg+3WTTJp1+/WxuvTXIgAE2zZqp0n/zK4W2f3+owJgyBX3lSlCK4MUXY40Zg9O9Oyo9/XChcGgPDH3ePFxffIHxyy/oO3agEhKwLrkE65xzcLp1C+3iHeUFRlhhYSGxsbEY5W4oIoQQQlS/aMlNUmgIUUd4vTB1qslbb7lYvtwgJkbxyCN+Ro+2aNNGHblkbUEB5owZuN5/H335cvB6sYcNI3jNNTi9eqEaNw7t6K1pJQWGMWMGro8+wli2DC0zE5WcTPDaa7HOPx+7UydITaX8WeXRq6CgoNavUy6EEKJ+iZbcJIWGEFFOKdiwQePf/3bz7bcmWVkaI0ZY3HdfgG7dHBITy3QsBIPov/6K+9//xpg/H62wELtHDwK33IIzeDAqLa10b4TPh/n557jeew9940a03FxUw4YEbr8da/RonNatQxPDzboZTsKresjwGyGEELVFtOQmmaMhRBQrKoKvvzZ46SUPa9fqpKUpnnmmmNGjbdLSVEmHBBAaJrVpE+5//ANz2jS0wkKc5s0JPPAA1ujRoQIjcsJ2Xh6uDz/EfOstjF27wOvFSUsj8PDDWJdfHurxiIkJ9XrUYV6vNypajcTRSW4SQtQ10ZKbKr0JUnZfFaLqKQXbt2v84x9uJk92EQjAiBEWDz8c4JRTnCMXeMrKwv2Pf+B67z20oiKIjydw660Eb74Z1aJF6R6MAwdwvf8+rrfeQt+7FwIBVMuWBP70J4Jjx0JiYtSuIHUiomFDJPHbJDcJIeqSaMlNdXOsgxB1UPhvpEAAvvvO4PHHPWzZotO0qeLOOwNcfXWwZOVZDQUKKCrC9dpruP/1L7S8PDAMrAsuwP/736MyMkr1Rmh79mBOnIjrzTfR9+wBx8Hp1o3APfdgjRkDbneouKgnBUZYUVFRVLQaCSGEqD+iJTdJoSFEFFAq9LVvH/z5zx4+/NCFywXDhlk8+miAPn0cIFxgKPD7MSdPxv3Xv6Lv2gW6jn3aafgfewxn0KDDB3YctD17cH34Ia533kELX7dfPwJ33YU9ciQls8jrWYERFg07rwohhKhfoiU3VcnQKSFE5XEc8Pvhq68MHn00hsxMjSZNFLfeGuDmm4OH98RwHCguxpg9G/ff/oaxbBnoOk5GBv5HHsG+8MLDxUIggLZvH66JE3G9/z7a7t0ojwdr6FCCt92GfeaZEBdXUw+5VomWViNxbJKbhBB1SbTkJunREKKWUgqKi2HLFp2nnnLzzTcmDRrAWWfZ/OlPfnr3DvViYNuhzfNWrsT9n/9gTp8OSuG0b0/gttuwrroKPJ7QAQsL0fbuDU3ynjgR/cABVIMGWMOHE7zxRuyhQyEKAld1ipZgLoQQov6IltwkhYYQtVAwCPv3a3zyickLL7jx+TQ6dHC49dYA111nERNDqAejqAh90ybMjz/GNXlyyUpS1tixBK6/PrSbt21DVhb6jh2YH32E65NP0AoLUWlpWOedR/Daa7GHDJEejKMoKioireyu6EIIIUQNipbcJEOnhKhFlIKsLI1Fi3ReesnNwoUGTZoozj8/yAMPBOjQ4dAcjCIv+pYtoQ30PvgAffdunBYtCF5+OcHrrkN16ADBINqOHejr12NOnoxrypRQT0eLFlgjRhAcNy40X8PjqemHXasVFRXRtm3bmj4NcZIkNwkh6pJoyU3SoyFELeH1wvr1OpMnm0yc6EIpGDrU4vrrg4waZWMYCvwB9I0bMebNw5w0CWPVKpyWLQlecQXBK67A6d0bLAt93Tr0pUsxp0zB/P57iI3F6dIFq1+/0CZ7/fvX2Q32Klu0TLgTQghRf0RLbpK/NMQJUUpJC2ElsW3YtUvj++9NPvjAZM0anU6dFKNGWVx1VYCmTUFzbLQ16zDmz8f11VcYCxagmjQheOmlWBdeiD14MDgO+vLlGAsXYk6fHrpOw4bYQ4Zgn3461siRON261fkN9ipbYWEhiSUz7oUQtZnkJlFfREtukkJDiBpUUAC//GLw6acm331nEhMDl11mcfnlQfr3d3C7HPT1GzBnz8aYPh1jzhxo0ABr9GisESOwhw5FuVwYixZhzJ2L8eOPGKtXoxo3xho9GnvQIKwzzkCFu1clAR83r9cbFa1GQggh6o9oyU1SaAhRA2wbtm3T+Owzk6++crFtm0afPg6XXhpkxAiL9HSFsXVLqGfi++8x589HaRr2+edjnXMO9sCBqPh4jPnzMX/8EWPBAvTNm3FatCBw9dU4gwdj9++PatJEejBOglIqanZfFUIIUT9EU26SyeBCVCOlwOeDb781+fBDk0WLDBITFbfeGuTCCy06d3aIyd6D+frUUJGxeDGa14s1ciTBCy/E6d0blZiIOXMmxsyZGMuXhyaCt21L4PbbsQcPxu7eHRo2lAKjkhQVFUVF97Q4NslNQoi6JFpyU5X0aGiahlKqKg4tRNRSCjZu1HjlFTc//GBy4IDGkCEWEyYE6dfPJlXPxfXFt5iffoqxbBlaTg7W2WeHVofq1Qvl8eCaMgXj228xNmxAy8rC6dQJ/8MPYw8ejNO+PSQnS4FRyaJlwp34bZKbhBB1RbTkJhk6JUQ1KC6Gt982efttN9u366SmKv74Rz8XXWTRNNlLzMI5uN5+G2PRIrSsLKzTTiN4ww04/fpBMIhr0iSMr79G37MHLT8fu3t3gvfdF5qj0bQpJCRIgVEFbNuOmnGwQggh6odoyk1SaAhRxRYv1nniCQ/Llhl4vRzaEyNIx7YBErauwv3X/2LOmnW4h+IPf8A+6yy07GzcL7+MOW0aWnY2eL3Yp59OcMIE7MGDUcnJEBsrE7yrkNfrxXEcGjRoUNOnIoQQQgDRlZtkjoYQVSQvD154wcVbb7nJy9No3NjhH/8IMPLcIAkFe4n5x39wffwxWlYWqlEjAg8+SHDsWLT9+3E/+2yo+MjNhUAA65xzCNx2G06fPqEdvF0uKTCqgdfrRSkVFa1G4tgkNwkh6opoyk3SoyGOi6ZpMs75NygFP/5o8OijbtauNQgG4dprg/zpT37S4rx4Jr6L++WX0ffsgdhYgpddRuC229CKinD/5S+Y33+Plp8Puk7w4osJ3HUXqmvXUHFhGDX98OoVr9eL2+3G5XLV9KkIIY5BcpOoT6IpN0mhISpMgvjRhZ+WrCz45z/dvP++m7w86NDB4Z//9DNkUAD3N1PxPPUU+qZNYJrYp52G//77ISEB9/PP45o5EwoLIS6O4PjxBO6+G9Whw+EdvKVFttoVFRURHx8vreFC1GKSm0R9E025SQoNIU6SUmBZoV6Mp592s3y5gdutuPeeAA/+zkfKmvnEnPck+i+/gGmGlqK9916cjh1xv/Ya5nffgd+PSk7Guv56AnfcESowwpO7oyCQ1DVKKRzHoaCggLi4uCoL5kopbNvGcRwADMNA1/WoSB5CCCGqVzTmJpmjIcQJUiq08d7evRpvvOHinXdcFBRo9D7V4olHChiYvIr4u5/D/OYbMAxUejqBCROw+/XD/fbbmA8+CEqhGjXCGjWKwM03ozp1kuFRtYBSiueff57s7GwMw6CoqAiPx4NpmhiGUSlxznEcNm7cyN///ne+++474uPjufnmm7n22mtp2LChxNJKJs+nECLaRWNukn00xHGThA2OExrltHChwT//6eKXX0waNXS47+Y8bhmxgZZTX8ecOBHNtkM9FRdcgD1oEObHH+N57jnweFDNm4c24rvuOpwuXWR52lokGAwSHx/Pl19+yfbt2xkzZgwDBgxg4MCBDB8+nJiYmJO+jwMHDvDaa6+xd+9e3n33XXbu3MlLL71Eeno6l19+OR6PpxIeiYgkualuk9wk6rpozE0ydEqI46AUBAKwdavGpEmhXoxgEIb1y+eui7YwLOtTEu54Cy0nBxUXh9WnD3b//pjTp+N6911ISsLp3BnrvPMIXnklqmNHGRpVC3k8Hm6//XZSUlJ4//33ufvuu5k/fz4vvfQSp556Ks2bNz+p4yul2L17NytWrOC2225j2LBhKKVYsWIFP/30E2eeeeZJ34cQQoi6JRpzkxQa4rjVxxbB8EPet09j3jyDV191sWyZQYcWXsb03sr1LabTduI76Js2oeLisDt3xunWDWPJEsxZs1Bpadj9+2Odfz7WpZeiWreu2QckKqSoqIiUlBQuuugiRo8ejVIKvRJ6npRS5OTkUFRURKdOnYBQa2yXLl2YOnUqRUVFJ30fQtRpdgAtbznKnQKuZDBiUY78SSPqh2jKTVU2dEqIusTrhWXLdD7+2MUnn5jEuS0u6r6FCe1+4sx9k4j59heU242Tno5q1Qp9xw6MyZNxmjfHOvfc0NeoUZCeXtMPRRwHr9dLfHw8cHj5zMpg2zaFhYWYpllyfID4+Hh8Ph+WZVXK/YjSJDfVHdqBObh+vQYnuScqqScqriXK1RjbbIDmaoAyG6BciWAmgh4jPceiTomm3CTlvxDH4Diwdq3O9OkGH3zgYttWjf5t9zMmcQaXx31N8xnTwbZR8fGopCS0ggL0xYtx2rXDGjoUa/hw7DPPhAYNJNFFocLCwlLBtrLouo7b7cZxHAKBQMnlgUAAl8tVKS1TQtRl+t6pEMxDz/weLfN7FGBqJo4nHRXTHBXbDCemGSqmGcqTjnKnolwpKFfy4V4QzZS4LKJSNOUmKTSEOIrMTJg+3eSLL1z88INBi4Ze7mj+LZfHfkf/HV9hFOShYmPB7QbLQtu3DycjA3vgQOyhQ7H794eEBElkUczr9ZKQkFDpLeG6rpOSkoJpmuzatYuMjAyUUuzcuZPk5ORKmdAnRF1mN78YzDj0zJmQuwwNQFkYxXtQxXshPwY0HexiMGJwPGmhgsOTjvI0xk7MwGpzIyCr/InoE025SQoNIcoIBGDuXIPJk01mzDDJy1Vc2uRnLve/z5m+H0neuQXCLQmWBZqG07s31llnYQ8YgHPKKaHfS4ER9YqKimjSpEmlH1fTNJo0aUL79u2ZMmUKLVu25ODBg8ybN4+zzz6b1NTUSr9PIeqU9DOwG52O0/hs9H3fou/6FN23i9B0Og1Qof88aTjx7VGuZDQrH71gPdqBH9GTe2O1ngDaiRcaSilyi3N5ZekrDGw+kDNbn1lJD06IY4um3CSFhjhudXmc8/btGh99ZDJ1qovVq3VOTdnKjTzP2UXzaZe9GJWQcHjpKdPEHjQIa+RInL59cdq3h7g4KTDqkKKiIhISEqrk2E2aNGHcuHG8/fbbPPzww9i2TceOHTnvvPOq7D6FqFN0NyptGHZSD5yGg9F2foyxdyqa4wNlgabALkLzZwJgJ2bgtBiHMhNRrtSTKjLCHv7hYb7a9BXfb/uexnGN6ZrW9aSPKcRviabcJJPBhQB8Ppg1y+Ddd10sXGig+33cr73G5QWf0c2/GM+hZac0vx8VG4t97rlYF12E3aMHqnlziI2t4UcgqkJVBvOYmBgGDx5M8+bN2b9/P6Zp0qZNG5o2bSpzNKqI5KY6SNPAnYrT9Dzs+M5oqYNx73gbI29ZqJAwk9GsQnTfTnTvVpz8FdjJ/bDTR4ATBN19Uo1DzRKa4bN8LNm/hP83+//x9BlP07WRFBuiakVTbpIeDVGvKQXbtmm8+aaLr75ysWc3DFU/cp/zPP2dBaTauWjKgqAOCQkEx4zBuuwynE6dUGlpofkZos4qKiqqkgl3YXFxcXTr1o1u3bpV2X0IUedpGmCg4ttgNR+LSj4V1+6PMHd9hBY4gIppQrDhhej+Axg5CzHyV6P2TcWObYXd5Dyspheg4tqc0F3f2edO3lr5Frn+XGbvnM2jsx/lmTOeoXPDzpX6EIWIFE25SQoNcdzqSqugzwfff2/w4otuVqwwSCrez+POi1zBR7RgFy4VABtUSgrBq64iOG4cqkWL0ApSpnx06oPIJQSFELWbpulgxOIkdccf1xqr4RDcm1/CyF2MeWAGdqOz8fV8BSNvMa49n2Nmz8PMX45766vYqQMINr8cu9EZYFSsh1rTNBrFNeKevvfw57l/JugE+WnnTzw2+zGeHvY0HVI6VPEjFvVVNOUmGTp1iFKKYFGQ4txi4hrFYcbIH5J1lVKwd6/GCy+4mDTJhbfAYZg9nUd4hv78Sgy+0FTCZs0I3nADwfHjUQ0bQkwMyJCWekMpRVFREYmJiVEZ08SR5HWsJzQDXMnY6SMoTuqBueM93NvfwNw/BT1vGYEO9+Id/D169lxcOydhHpiFuedzzP3f4cS2JtjicqymF4d6OX7jPaOhcd0p1/HiohfJ9ecSsAPM2jEL9xw3Tw15ijbJbarlIYv6I9pyU736a1ophXIUhXsLydmUQ86mHLI3ZZd8Fe0tIqFZAqPfH01at7SaPl1RBYJBmDVL59FHY9i0SaeRvY/7+Te38F8akYWOwmnfnsBNNxEcOxaSkw/3XkTBB1pULq/XS1xcXE2fhhDVTjkKq9hC07XobHjTNNBcqJjmBDs+iJ12Jp51f8HIXkDMygew0r7B3+OfFDe5EM23C9euibh2TUIvWIVn3VrcW17GSjuLYMvrcFL6gHH0ZT2TY5K5occN/PPXf6KhoSmN77Z8R+sGrfnToD8RY8py1aJyRVNuisLoUZo6NEk39I/Dl3kzveRsDhUSOZtzSr5yt+QSLAoeuroquU2Yp4EHx3aq6eyjV6nnPQooBVlZ8MQTHj74wMRwLE5nLs/yCAOZjwY4nTvhv/lmgpdeCikphwsLKTDqrfBa5UJEs3Lj9aGLLL9F7tbcw/lyYw7ZG7PJ2ZRDbGosQ/88lI6jOlbvCZ+EIx7roYLDSTkNX/+PcW1/C/fG59Dz16CMhNDKVfHtCHT+fwTa3495YCau7W9jHJyDa9dHuHZ/ip3Ui2Crq7GaXATuFELL54aOrWkapm5y7SnX8urSV/FZPnRdZ2TbkYzrOg6P4an250DUfdGUm6J+6FTW2iw2TtlI0b4i8nfnk7cjj7ytefjz/UcUEaGTA8NtkNwmmdSOqaR0TCG1Y2ro5w4pxDaMRTf0UsXGEY+n7D9r8R+iisNPQ2UN+qmpIiN8v6Web6UAh9CLoh1RFCgV2upiyhST3z/oIjNLJ4Uc7uFf3M8LJJg+nI5d8N90E9aYMdCwIYfupFoek6i9gsEgfr8/asbBit9Wm2P1yQrHR+WEW9wOXaZCxUT+7gJytmRzcHMO2VtyyNmQRd6GPAp2FYSShHbo+Yn4bngMgoXBmntQx+mYuUnTwIgl2O4OrMbnQyALXA0iYr0GZhxW04uwmpyPVrAe1873ce2dgpG3BGPFItS6p7GajSHQ6lpUQifQTUBH0zQaJzTm8i6X8+6qdym2ivHbftLiZGSEqHzRlpuiukdDKcXeRXuZ/fjso15Hc2mYHhMzxsSd4MbTwIMnyYMr3oXu0inaX4Q/30/W6izMOBMz1sQV68KMCf1sxpq4YlyYsSZGrFHysys29N2MMdH0Q8E59L9DdxyR1CJ/V9IQopX+ubzbRPxc6nrlPReHvuwyXz5gs6ZhAUMruUBQSlV74s70ZhJjxmBoBqZu4PLvw7N/Oiq2OXbaMDDiQNNRCoIB2LZd4/H/Z/D1dzHE4mMQi/in9iB9Y1bhtGtH8U03YY0efbjAEOKQoqIilFIkJibW9KkIUSHeLC87ftxBwf4Csnfnk709l4PbcsnbXUih8rMrA7b3i2PvgGSSsl/jstmjMEwDTwMPye2TSWmfQkq7FFI6pJDSPoXktsnEJMVgB+0Tzk014ai56dBlKqEt0Paov0dzoZJOIZD0VwIdfoe5/xtcOydiFKzDtf1NXNv+h91wIMEWV2I1PhfMBGIMN1d1u4pJayYRcAL8uu9XJq+fzK29bsXUovpPLVHLRFtuivp3vxlnktAsAdtvYwfs0PegfXgYVVARDAYJFgYpzilGN3V0Q0cztFCBENHqo5Qq9XPJd4cjLi9xqNXHFeMqVYiYMSZGjFFStBgxh35X5vLIgiZ8u7LHCt9WM0LdtOjgmAa2W8d2GdimTsDUyTR01msa6w59rdc0tmgaNjAgaPNdkQ/tUFdvSbLQj2zFgiMTR2RLkVIK27bLDeRVlXCUUvhtP5d+din7vfvp2rArXRt2YairkBG5n9PA0LFbXEFxq+so9rShID+GyR95eO6vJgUFGi3Yye/0F7k96X1cbZpRfONzWBdfDElJVXK+Ivr5fD6AqBkHK+ofRzn4HYti5eAP2mxYuI2v/zCDvDSH7b0Mdp3RgKxbm1LYriXBpu0gNhkcB92yyMp8lUa700hOSiImOQZXrAsjxsD22+RuzqVwTyF7F+0tyUvh3GTGHf73EbmpnF6Rku/6b/y+tuammMZYrSdgtbwKPXshrt2fYB74HiNvOcbBeShXClazMVjNLqVTfEPOaX0GU7fOIMubxdebvub0ZqdzauNTa10xJqJXtOWmqC40NE0j45IMWg9rTdaaLPYv20/m8kyy1mVRnFOM5bUI+oIEvUGcoENsw1gatGxAYrNE4tLj8CR5MAwjFNAOBUEn6GD7bYK+IHaxjeW3sP02VrEV+vJb2MWhogYV6qZWjiqZaK4cRaAoQKAgUOry8q6LwxG3LXs929SxYkwsj4lq4EYlxWCnxZHXPpWsTqlkdUhlf5tkMlsmUZRgogcdzGKr5CvJFyShKEhilpdFv+w8XNwcShKR/zZjTEyPiW7qoefj0POiaaGiTKFAA8u2cByn5Pe6Hirewl/h65ccI/xvrfQxS7WMVYQCUzeJNWNZe3AtS/YvYYoq5sr4AFclKtpv+R++nV+yzBzDa+8OZNovPXEMN6c3WM5f4/5J99YOzi3P4Bs1KrSDtxDH4PV6iYmJwZSljEUNU0pRZPkodCx8KAKajqWbFNgWi4v28Ksvh3XKZmsvN/lLLkWltgDNRA8GMIqDuHw28ftsXIV7cO/fQ8LuvXT5YSgHVx2kkAJ0Qy+5n6PlppJGN0cd0eCmu/WSkQOGxzgiz7hiXKXzjSci/5T5+Zi5yaUfLlgic5MWOpnfzE0Rtznu3KS7cRoNwd9oCH7fbsx932Du/RLDuxXXrkm4drxFelJvrkpuxkwNAgoW71vMlxu/pF1yO5Jjkqvp3SLqumjLTZqqogH3gUCgxsbyW36L3G25HFx7kKy1WWStzSJvex6BglAB4M/3EywKYsaaNOzckEZdG5HWLY3UTqnEp8eHuouTY0LBqBzh4BsuQGx/qCAJFyHh4qTk9wH78O8Ch38Xvm7JbQ9dlu23WBNwKAzY5CfHkNMuhdy2KWS3TyGnbQr5rRqgXAaGUphO6MuwFW6fReKufFI3ZZO6KZvkTdmkbM4mPrMIDhUxKIVyQt9xVGiKw6GfQw8OdFPDcIcCveE2cHlC30PJxMBwGxgeA8Olh7679ZLLTLeJGe69OXTdUrfxGJjuQ/92GaFkENF6pYVbtiL/XZIcwGv52Ja3lS15W9ict5kteZvZV7SLztZBrjByOD0hn2S3n6le+N/+RDL3eehcUEjb7kNpM/ACWqW0JdGdSJwrjjgzjgR3Ag08DTD16PjAiuqzfPlyJkyYwLJly4iLi5MWyTqiJnPTiVqnFN/mbGSxN4uN2Ox2xZAbm0owsQV4EkE5EV822BaaL4+YfXtI3JpJ2oZcmq30kb6pGFexgyvOJD4tnri0WGJSY/EkhjYetcMNaf5DeavYCv3sL/2z7bdxgnbo5EqeylCO0Q5dpJWzUAtlL1Mq1FFR9vfhQkYdPi6AYeql8ojpNg/lFr10rjn0pbv1UL7xGJgeE5fHxBUuhtwGhjvi57K5qSQfAUTkJg7nJpSNmbsIV+a3mDm/oKlidgUD/CFLsSYIuqbTukErHhv0IMPbnYnLcFXSO0LUZ9GWm+pkoVGWUgp/vj+0qsbGbLI3hFaiKtpXhC/bhy/bR3F2MY7lkNA0gRHPj6Dt8LYYbqNGznempnGHabJT00LxteybSCkMpYizHOKCDnEBmzi/RYzfRg/aYDtgK5SlUI6DshywHRxLgeWg7NBlh78UynLQwsWGo9AOBXhNHUoYh4J+6OdDvy/5fvg6pX9PSSLRIgqZkusAuqljGDqGoaEbGoapH7os/LOGYRy6zNQxDR3dFfrZMHXMAMRuzMa7dBlZxV9ydrs5DEw7SHu3Q74Db+XDlCJYHgC/AkMzaJLQhOYJzWme0Jye6T0Z03kMbZPLGa8r6rX58+fz0EMPMX/+fGJjY2t9MBcVU5tyU0Xdahi8axiocnIBAHbg0JcfrENfTpBD430PXU+V+UP+8L+1Q78P/REdMVWBcC4I/Rz6HvGzovQxFGjKOVwklMoVh/KIc2ihFUcdyjWhnpKS3zmHfqec0ERDR5XJL5TKP1qZfEPEZSX5ySmdo7RDl1Hm9qHrUVJMGHqoWNB0DUPX0HUNQ9eP/G7oGFoQw8pGs7LJtIo5mFlA0sqD+DNh/MiO3HDeeTSSyeGiEkRbbqoXzbiaphGTFEPT3k1p2rspSikcy6FofxG5W3PJ3ZJL7tZc8nfl4830EpcWh2bU7AsXC8QDxYClVOli49C8i2KXge4y0OJcJa1Hke0l6hjfj3bZEf8Or2Ry6H5P6JiRxyAiH6hDvUOHLgzNkTl8m5IcpkAR8W/AKQZ9nUWT+XvoPGUnTZf7MIbnk5mRwzbboYEN8To8kgrnxMEHBTDDC2uDNrsLdrO7YDcAaw6uIaNRhhQa4gjhdcpLxo4LUUNaKkVHxyZX2eSjUWyYELnKnukBww0qDgKFaChcliJBOSTpJomuOOJdcei6UTq+HoqrdtAhUBTAXxggUBQg6AviOAoMjYSmCcQ2ijscg0u+Dv8bVfp3RMRrVfKvo+WZ0r8r+VmBOvTwQjlEK32fhGoSytyu9PdQ/4qKyF1Hv75W+jxU6escLq8irq9R6rigEZNfTPuFe2i2IYjzpY61IxGr4QGcoYCM2BWVINpyU5UVGpqm1dpWI03TMFwGDVo0oEGLBrQa0qqk16NoXxENWjQoGbNaE7orxQO2TQ5QpGnkAJmaRqamsR/Yf+gyDTAAt1LEAPFKkQykK0U60PjQ91Sl0Dl6URBuJYssDBzAcZzQaxj+fZnrHe3n8goNdeh4jlI4h8b4OocKi5IArkKJIfy+cUoVH6HvPh8sWwLbZh+k6bxNtF2+mVQrm5zm+ayKyWVbkcbZiZBigE+FjtHDA909cJYXphV7WO9qT0x8K9Li0uic2pkOKR1O+jUTdU9RUVHUTLYTFVebc9PRXOo49HAUBxyLHE0jX8EBTWe/BjvsAPuUQ67pxtJ0QkOnAuhWMS7HJkbTSSjOJTHopUHQS0PHornuonlMCs0SmuEyPdgBm2Kfn+LCYorz/fjyiincX0hxnp8m/ZuSnpRe8se/U6rgiGgoovzflS5syhQi5XyVKlLCf8hHFCyhjhDncCESkZcodZxD+aTkqOXnLyCUl1Q4L5UuLrSSLh6t1HEP/bqk6PDn+Tg4bRmBZfs5OKMlO3e0Zwvt6Ng4n05N3SSY0bFCkKj9oi031YsejYoI93rEJNX8Dp6NgWsPdS8rwAscBA5qGllAlqaRCezRNHZpGruA3ZrGJl1HBxoqRSOgUcT35kpxp+NQ7tZBZVbtUEodLjI4PCnuZCrnkuLh0HHL3kf4+JGT87RwcFdQVKQx52eDeTPzabV0M01WbiTFvwdXwyza9t1Aeq+dHEjayrRgkH/nwa2pCXT1KHRVhKPAo8GF8TAoXrHFo2O0HEJSi4tJjmuM23Cf8OMSdZfX6yU+Pj4qWoxE3ZYBZKCBHuqzthxFDjZZKPbYNgdQ5GJz0NDZ5UpkqxHDVsci03CxXzchUAjeLGIDhaQ4Nk11k6ZbZvJYy2F0Tz8FzaWFutCbHmposh2Kc4rx5/qJTY0l1hNbo48faklu0rRSrchKKXwHijjw8RxiV/7Ce7PbM3d3JxZyGp44g7HD8hhzqU3fQQnEpdT83xaiboi23CSFRi2nEYr/8UCr8BAkpbCAfCAHyD3Uw5F1qOjYoWls0zR2aBpzNY0A0EYp7nGOveN5OMA6h64X+SY+2Td0+PaGYRweSlUmqJcX3HNydGbMcPH9dA1nzXo8G1fSxN5PnOcgG07dRFy/rZzXfQf9UrJI9im2ZcHUIhgYF6S7W6HpJi49FhwfmrJoSICGwXU4mROx1H6CLa9EJWac1GMTdVO4e1qI2sYE0oA0NDIMd0krvc+2yUFx0FFkKY18FFkodrgSWZ/gZqMTYJdusscdT9Li13C3PfeIY2uahmEaxKfFE59WOzYEq425KX9bLjnvzaTF6u9Ytrgp0w6exmzOIFNvTK/ORUy42WbIEJMWHePRj7KwjBAnItpykxQaUUgjNBej4aGvcI+ErRReoBAoAAo1jXxgN6EhWMd6sY8WyKuiYo48tlIKXT+8tGI4oO/cqfjqKxfffevC2rqbFnsW0dzZTbKeh/tUN62u7sawPkNJStdp77YJ2Hl09+7kko2zeH7TXD4sKObiBI2GmhOa0KHswxu6Kwu9YDVu33aMg3Owmo0h2OpacKdU+mMV0StyHKwQtZlGZKOURotDq+gpIOAoCrHJUxq5uChSGnlBi/jet9E2qXUNnnXF1LbctH/pHgrfnkLbVV+zb73O04UX8i0j2Uo74hPh7quLuHQcdOhsEhMnq0yJyhdtualK52iI6mUAiYe+mkLJBL0AEDzGmOTqDORllb4PjR07dD7+2GDqVIPc7fl0yZlNR7WRJPJIahZHrzsH03xEC+KbxhEXH4epm+iahqNsdMfP2Ebn8qP3QX7e+ROvxpzH77tfSmzxbvSiLehFm9GKtqD7dqLhgFWIkbcEu0E3kJ1bRRlFRUXEx9eOFl1ReepTbtIAz6GvhpoBWmglRVsptIZdSgqU2qr25CbIXLiTotcn02rJV8TtymVi8bm8xzWsphteLYEhvfO4/1HFKd0UqY0MNC00gV2IyhZtuUn+uqrjIhNNWeHu4XAwh+oN5IfPAzZt0vjgA4OpU03277ToULSU89UvJJFLjMuh50096XVLL+Iax2HEGKHzdcByLDQtvDFTHGkN2nJ77ztZnbWWVzf9yLk97qJP63PQVBDNCYITAKsAvWgLRu5S9IPzUAmdwIyeD62oHl6vNyqWDhTieNXMwu0VV2tyk6PYP3cLBf+eSItFX9H44D4WBXrwb/7Aj5xJDikkxwd59i8+zj1PI6UhaFpod/Lwueq6jq7rEkdEpYm23CSFRj1VVRPrjofjwJYt8MYbJl9+abJvn0ZzaztjjNk0ZjcuArQ5qzWDnxhMWkYaZqwZcVun1Jdt29i2jaZpDG4+mFHtR/Hu6nf5089P8MUlX+Ax40Irh4SHmcV3wE47C9rfE5pgqdXcKmOidvJ6vTRp0qSmT0OIeqVW5CbL4cAv28j5v7do/evntCzcy067Ce9wNx9wFTtojYXJuEt8PPa0RpMm4HKFhkkdKzeFv6TwECcj2nKTDJ2qh8KBPNzqAtUbyB0Htm2DV181mTzZ5OBBjRQjn9GJC+lQuALTX0RSqwYMevRsOl/cOVRgaIfPLTx2tuz4Wdu2UUqhKY27T72bmdtmsmDPAt5b9R439bop/EAPfTcBEwxZCUSUz+fzkZCQILGsjpHXs/aq8dxkORxYvIP9j75Gp0Uf0zpwgAIVzxRG8l9uYS6DKSSB1s0CvPDvAGecAW63qnBuCvfOOI5TquCQ96Q4HtGWm6RHox6JXFEjHPjCAbGq37BKHS4wXnrJxaRJJoWFEO8JMrL1Rvp6Z8O+TMxYk+639mLAAwNIaJpQqsAIK+9cDcMoWTVEKUWLpBbc1/c+fv/T73ly7pOc0/ocmjdofsTyhNXx2EV08vl8xMbW/LKeQtR1NZubFMpW7P9lO3se+je9ln9AG1VAEIM1dOJ9ruFDxrOLlhimxu03BvjDH20aNoTQPhuHj1WR3GTbdqkeD6BUwSG5SfyWaMtNUmjUE2UDOVAtgdxxwLJg/XqNf/3LxeTJBrYN8bEOI3pnMdwzB/+SdThBm2aDmjPwkYG0HNQS3VXxruXyChFd17m+1/V8sekLftj+A4/NfYz/nvtfNLRS16lIESPqp/CEO3lPCFF1aiw32Q4ELXZ9v5nMR16i/6YPaUcAB539NGIG5/Au1zKfgRQb8ZySYfHEny2GDVO43VCRUztabgJKFR1l56JIbhLHEm25SYZO1QNlJ9aFW4uq6jVSKlRcFBfDkiU6r7xi8vXXBqYJCXEOg3oXcVGHVRRMW0DRviISWyTSY0IPul/bnfj0k5uUHfmYDM3gr2f+leEfDueLjV9wRdcrGNl2ZKnu7LDI7u6jHU/UH0qpkgl3om6Rz3TtUf25SeH4bVRxMdu/WE7RM6/Sd/eXdMZBoZFLMmvJ4CPGMoUL2aG3JSkJrh8f5O57LFq0qFiBUZ6jFR2Rjz9yXkeY5CYRKRpzk/Ro1HHlTayrqkCuFPj9kJ8Pc+fqvPGGyezZBh4PNGmsOGtQEZeevoecKXPZ9cYuYhrG0HF0R/rd048mpzZBq4JNjbqldeOevvfw13l/5U+z/8RpzU8jLS6t3M2YLMsCDj8/4SQQJoG9fvF6vVE1DlaIaFK9uUlhFQZQeXlsn/QLvPo63fZ9j4ZCxyHHaES23YBvGMUXXMxCBqBi4zjtVJt77rYYcY5DTBVN54ucIH60jQIlN4lI0ZabpNCow8qbWFdey8jJ3w8UFUFmpsacOTrvvWeyeLFOXBx06uQw4gwfFw3OouCHZaz+02p0t07T/k3pdVMvOl3cCVcVb2p0d9+7mbZ5Gsv2L+Ofv/yTJ4c8icf0HDFhL/wV2eMh3dj1V7SNgxUiWlRbbnIUgVwvzt5M9n86H+Pd9+m8byGm5gAO2e4mWAHFbHsI33A+PzGM3WZrWrZUXHhBkFtutWjbttJP66giiw6Q3CTKF225SYZO1VHV0R3tOFBQANu2acybp/PxxyarVukkJSn69XM456xizj41C9/yzSx9cAnFOcWkdkql/fnt6XlDTxq0aFCp53M08a54nj7jacZ/OZ73Vr7HiLYjOKv1WQAoFLqml0zYK9uSFPlz5GS9yEl78l6vexzHibqVPUTFyOtZs6olN9kO/qxCghu3UzBtAfrHn9B6zzJMF4AiJ6YxtjfAmkBnvmEUcxnEEnoTn+LirH42N95occ45Dm53pZ7WcdM0TXKTKCUac5P0aNRBka1Fkat3VBbHgdxcWLNGZ948nalTDdat00lPVwwfbjPi7CADOh/Ev24HK59eyf4l+0npkEL789rT/druNO3XtNo/IINaDOKGnjfw4q8v8tyC50iPSyfXn0tabBpdGnUpuV74uTIM49BjPbwySNklCsu2KElwrzsCgQDBYDCqgrkQtV2V5ybbwbsnj8DStVg/zUd9PpWm+1ejx3hw3G4KPQ0IFtvs9DZmFmfzM4P5lf7kmmn06OkwapTFNddYNGtWqadVKSQ3CYjO3CSFRh0SHrMZ2c1amat3KAWZmbB4sc7cuTqzZhls3qzTqpXisssshg2z6dM5H/+GnWx4dT1bp28lNjWWLmO70Hl0Z9qOaIsZU/1vufBjv6P3HczZOYfFexfz+M+Psz1vOyPajODxIY8T6yq/GzI8ES/yuYxsWQoH9vD9SItS3eD1elFKER8vO8YLcbKqPDc5itxNWQTnLcFcMA/7m1mkZa8nGJ+MldwQRzNxAkH2eZNYZPdmOsNZxqlsoBPNWupcM9xi3HibAQMcjNq+bfohkpvqp2jMTTJ0qo442sQ6OPnXQinYvl1j7lydOXN05s832LFDIyPD4cYbLYYOtemZUUxgyx42vbWRzdM2EygI0HZ4W9qPak/7ke2JbRRbo+8JTdNIi0vjoQEPccu0W5i9YzYaGvN3z2fVgVX0a9bvN28fPv/ISXvldWWXvY0E9+jj9XoxDAOPx1PTpyIqmXwGq1fV5ibF/kW7YPY8Yn/9GePHBTQq3Ep+UkuK23QGrw/DKianwM3qYDd+5CwW0J81dCUY24DzhztcfHGQ886zSU4+yQdaQyQ31S/RmJuqtHlZ07RSKyOIqlF2Yl1lBQ7HgTVrNGbONJg3T2fZMp3MTI2+fR3Gj7c4/XSHrl0s1IGDrP9gPZunbSZnYw7pPdLpPKYzbUa0IaV9CppeO3Y+1TWdIS2HcHW3q3l58cu4dTcbczYyc9tMeqT3wGNW/INbXnAHyh1HW3L/EV3ZVTHxUVQer9dLTEyMvE51lOSm6lFluclW7Jq5AfcPM4hbNBeWLqORfw+7G/Wg4JSzMfbtxePPpyg/yAp/BxbRh9kMYYXqzh6a0a2nzrhxQUaOdOjYUZ3wkrW1keSmui0ac5MMnYpyVRHILQsWL9aYMsVg4UKDdes0Cgs1hg2zefhhmz59HNq3dzADPjZ+tZF1n65j/7L9xKTE0OeOPrQ/vz1p3dMwY8xaUWCEaZpGnCuOa7tfy9xdc1mybwmWspi3ax6jOoyiR3qPEz7u0VqUyi5VGOY4zlFXDRE1L7yqRzQFcyFqkyrJTX6bHV8uJ37GFFKXzse1cS0JVi6bWwxFH3IB8WvWELdnE87BHNb527FC9WCB6ssCdRpbaYs7JY6brnAYMyZI794OsbEnvi9GNJDcVPdEY26SQiOKlR2LebKB3O+HBQt0PvnE4NdfdbZt01EKRo2yueQSi4wMRYsWCpdus2v+Lpb9bxl7Fuwh6AvSdnhbul3djaa9mxKTElMle2JUBl3TaZfcjjv73Mnd0+/GG/SybP8y5u2aR9dGXTH1k/9IRAb3o42fLdudHQ7qkbcVNSfcaiSvhRDHr9JzU2GAXZ8uImHKJzRdvZCY3VvBDrK50/k0HXsa6QsWErdwFmZWJjt8afzqHsUauy1z1CBWqW7kaKmcNkjn5pstBg+2SU+HKPo7rdJIbop+0ZibZOhUFCo7sQ5OLpD7fDBvXmj/i0WLdPbu1YiPV4wfbzF2rEXbtopGjcA0Ffm78pn30mI2frURb5aX1E6p9L69N23OakNcehyGq/bPpHMbboa0HMKlnS/l3VXvklOcw5ydcxjeZjgdUjtU6n2Fg7NSqmS1EDiciMOrhZS3E6wE9poT2Wokr0HdI7mpalR6bsotZvenvxL30Xu02rAAT/Zeih03G3tfSvObR9Bqzk/EffBfzIOZ5BfqzE+7mNUF6ax2TuFnNYjdqhkN0j3cc43FuHEB2rdXuN11uxejoiQ3RadozE3SoxFlyptYd6KB3OsN7eD9+usmCxfq5OVpNGyouPXWIOPH27RqpUhIAF1X2EGbZf9dyaJ/L6JwTyGmx6T37b3pcX0PEpsnYniMqHnTa5pGamwqZ7c5m+lbp7OvaB9zd81l6f6ltEtph65VflNXec9NeH30yNa/8Osb3gk2sgtbgnv1icZWIyFqUmXmpuKcYnZ+8guet16n/ba5uAuzydOS2TroepreM4b2i+YQ+/cnMPbtwS708WvbS1kYaM3erIb8rAax3OlFQI+l3wC4//4AAwc6h3JZpT/sqCe5KbpEY26SQiOKHGsN8uN50/n98OOPOq+8YrJggY7Pp9G0qeLee4NceaVNy5YKjyfU6qNpsOPnnfz0p5/IWpWFYzm0GNKCwY8OpnHPxlFVYIRZjsWivYt4dPajHPQeREPjgPcAP+/8mUEtBtEsseoXUS/7nIUDO1DyGoeDe3ktStE0PjMaRdvOq0LUpMrKTYHCAJveno/nP/8mY+9sDL+PbDONjWfdQfr9V9Bx+yo8f3kYY8N68PnY2v4sZnoHk7kd1qv2fG+ey347leRUndsmWNxyi0XjxmAY0otRUZKbardozE1VPnRKVI6jBfKKPMfhEQK2DV9/rfPyyy5+/VXHsqBpU8Xddwe56qpQgRGKJ6EbFO4p5Ocnfmbdp+uwAzYJjRMY/ORgMi7LwHAbtXYexm8xNIOmCU1pndSanfk7gdAO4d9t+Y4xncbQNKF6NxQs775MM/TRjAzo4ZalY42dlc9c5YjGCXei4uRzUnlOLjeFco0dsFnx9x9I/N+/6J09B2yLXHdjto+4hUYPXk0nOxPXC09izvkZvF7yWnRjVtpY1i6zKHRi+cF9LosC3dEcnZ69Hf785wCDBzuYphQYJ0NyU+0TjblJejRquZPZ6ChcYAQCMHmywQsvuFi7VkPTID1dceONFtdea9G8ecktALCKLVa8vYIF/7cAb5YXzdDofXtvBv5xIDHJMRW679qubXJbnh32LPfNuI9F+xYBsKtgF3N3zaVXk16kxKTU2LlFPrfl7QYbGdgjrxfuyj7asUTFhYO5PH9ClO/kcpMCBcFiiyWPTqXxu88zyLsEBRTGNGT9WTeQ/si1dG5o43rlFcyPP4bcXAKp6SzqdyfzliZSuMthrTqFGTEXkFscQ2ws3HVXkPvvt0hM5NB5VOUzUP9Ibqp50ZibpNCoxcouQwdUaAKQUqHei/x8mDTJ4KWXTHbs0HG5oFkzxS23WFx3nUVaWun7ciyH3Qt3M/epuexZuAeAVme04sxnzySte1pUvbGPRdM0NDR6pvfkz0P/zEM/PMSaA2tQKD5e+zHndzif5MbJteLxHq0bO3IsdDi4A9i2XRLUI9dQL+9Y4uiiMZgLUV1OPDcpVNDGl+1l5Z8+o/XkFzkzuB5HNymIS2fN4Jto8cR1dGvqwvz4Y8xXXkHbsRM7LoHtZ1zLj/u7sWuun+xgIj8nX8iy3LYYFvTp4/CPfwTo108m+FcXyU01IxpzkxQatVRkEA+va/1bE64cJzT/IjMTPvrI5H//M9m/XyMmBjp1UtxyS2gORlJS6ftxgg75u/JZ9voyVr+/mkBhgKQ2SQx4aABdLu+C4Yq+eRgVoes6g1sO5tFBj/LY7MfYmL2RzbmbWbB7AZ1TOxPvjq/pUzwqTdNKWpJM0zyiC9u27ZLxs+W1KNXF17My+Xy+qJtwJ0R1OKHcZDs4vgBF2w+y6dnPaff1qwwN7ES5PeSktmP9GTfR7snx9Egx0X/6Cddd/0Rftgw7Jp6cvsNZlDyc5YsVeTk26+L684M+hKLCGBo2Utx3n8Udd1hE0UbJdZrkpqoVjblJ5mjUQscbyG0biopgxw6Nzz4zeO89k6wsjcREOO00hwkTLMaMsYmcP6SUQtkK30Ef277fxqKXFnFw3UFiU2M59dZT6XNXHxKbJkbtPIyKMnSDke1Gklucy7PznmV7/nZe+PUFzmp9Fp0bdo6a97CmaaXGzlakRans7cVhPp+PlJQUeV7qKHldT8xx56agjZXnpWj9bva+MoUW373Nab49OAkJHGzWm21nX0/HP42hp2Ghr1iB+eCLGLNm4cTGU9C5N5u6XsjCtcnsWeplP+n8knQ264paEJegc/4QmyefDNCxowyRqs0kN1WuaMxN0qNRy5QN5Ecb8xoeHpWTAxs36kydqvPppyYHD2qkpSnOO8/myistRoxwjlg3XDkKf76fzOWZLH9rOVu+3YIZY9JuZDt639abZqc1w/TUn7eGy3AxNmMsB7wHeHnRyyilKPAX4CgHQ6v9+4KUFRmsy3ZlhwN8OLCHv6RFqTSfz0ezZs3kuRDikOPJTU7Qxr8vF9+qLWS/+y3psz6ie/E+7JSGZHYZzsHzxtPmznPp7i9EW78C15tvYnzxBSomBl/7buzudjZLfV1Z/91Bcoo1NjUYxPziUym24sno5nD77QEuv9yWPTGijOSmkxeNuan+/DVZy4XHK/5WIA8XGHv3aqxdqzFtmsHXXxvk5Wm0bKk4+2yLSy+1GTjQISamTIGhFFaxxcF1B9n8zWZWvbeK4rxi0nqkkXFZBp3HdCYuLa5aH3dt4TE93Nb7Nhwc2iW1o1t6Nww9+oqMssoG9cjAHvndtu2jrokeTQGtskTjOFghqkLFc1NoGG7h5kzslevInTSD1J++olMwk2CTFhzoNIbC8y6h6fihpAYK0Jf9ivHJJ5iTJwMagc7dyGzVh/Vpg1kxK5us/Xnsje3I0sTebPa3JK2xxtjzLG691aJdOyV7YkQ5yU0nJhpzkwydqgWONrEODj+HSoFlwdatGitW6MyYoTNzpoHXq9G5s8Mll1iMGmXTp48iLu7I46Mge2M2O37eweqJq9m/dD8NOzWky+VdyBibQaOujdCN+h2541xxPHjagzV9GlUmsoWo7Huu7HCI8PXD161PGzIppfD5fMTFxdWbx1zfyOtaMRXLTQo74JCzdDuuNSvJ++R7kud/R3uVQ3GrjuT0OhffiAtIOb8fDZUPfekCjG++wfj0U7SiIuyu3chq1p2tzQexcrHF7u92k5fYnHWJGax0TsGvxzBkqMPVVwcZPjy08Z6oWyQ3VUy05ibp0ahhFdlN1e+HVas0Fi3S+fFHgzlzdBxH49RTHQYOtBg+3KZ7d8XR9nAp2lfE9h+2s+GrDWybtY3YlFi6jetGpzGdaDm4Ja44V7U8VlF7RAbnsl3YZbuyI68f+d6MpkB3vLxeb9S1GglRmSqUm4qCZP20jsS1iyj+/Cfils+mte4lv30v8oaMp3jocJKG9SLZCKIv+QVjxgyMqVPR9u7F6dGD3E692RLfg/W7Etn2znaKPQ3Y0rA/q7VT2FKYTtt2iosvDvXSt2sX3udJ1GWSm44tGnOTFBo16GiBPPwGKiyEX37RmTNHZ/58g8WLdWJiFIMHOwwZEhoelZGhjrraRqAwwLZZ29j8zWa2TN9CsChI2xFt6XBBB9qc1YaEJtI0JEIiVwqJbFEqG+Qjr1/2qy7xer1R12okRGX5rdxUlOXjwLQlNFz1M9q0+cRu/pV4E3JOGQjnDcHfZzBJg7vSwHTQly3D+O479OnT0TdvxsnIwHv+GLboHdi4P5kt3+7EV5hDToseLM7vwAa7PY5mMHqMzaWX2gwY4JTsiyHqH8lNpUVjbpKhUzXkWKt3ZGfD7NkGs2bpLF6ss3atTsOGiksvtRg2zOHUUx3atVOYR3n1HMthz8I9rP10LTu+30H2pmyaD2xOxmUZtDqjFakdU+v8alLixJUNzpGBvGzLUuRtIsfRRrNw93S0tRqJipPX9eiOlZtyd+ST/eU80hbPIHHOYhrsXYXLiOfA6eeTctkwtIzeePp1IN4Ebd06jC+/xJg1C33tWpxWrfDfdge74ruwZmsc2xceIHvTelzdO7I4L4P1vg5sz0ugZ8/QMKmzz3Zo2VLmYojDJDdFZ26SHo1qVt7EuvAHIDNTY+ZMg2nTdFauNNi2TaNtW8Xddwc54wyHTp0cmjfnmIE3Z0sOaz5cw5bvtnBg1QESWyQy5MkhtD27LQ0zGtar1aRE5Qi3KIV3/i07ZjtyucLw9aO5RcmyLAKBAPHx8VF37kKcqGPlpuyNOeRM/pH0+VNJX7Gc5INbOOhuwq5RN9Bw3NnEteuCp1sLYg0Ndu7E/OQTjGnT0NeuRSUlYU2YwMFOA1i51mTLD9kcWLOZmGbJHDz9PH7c1obtBY1wueH224NccolNRsbRhwILESa5KTrIX53VKBzIw0EcQm/8fft0vv7aYOpUkzVrQgXHKac4PPWUxdChNq1aKVJSjr2Mnz/fz8YpG1n9wWr2L98PCnre2JOuY7uS2iUVd4I7qt6YovaJHAMbDuxwZAtoZKCPnOQXLYHd7/dj23bUBXMhTtTRclPO+oNkvT+DxrM/p/XmlcTl72NPfAfyrvkDDcefjdmyNZ7WDYnRNMjLw5g0CfOTT9A3bADAvvBCis67mA3b41j18R72r8wCBZ7hpzNlYxc2bExnf5bJ8OE2d91l0auXQ8OGsmStOD6Sm2o3GTpVTcKB3LbtQ29+yMzUmTzZ4PPPTTZt0ikogF69HP74xyCDBzs0baqIjz920HUsh31L97Hk1SXs+HEHvhwfrYe1ps9dfWjcszGxqbGgyWshKlfZJQYjg3tkK1I40FuWVXKb8naDrU18Ph+O40Rd97SoOHldDysvN+VtzmHPv6fQ9KeP6bR3De6iXHYldyPzrntJufxMGrRqhrthYig3BYMYn36K+b//oW/cCD4f9qBBBG68ib1mKxZP2sqOOdvw5fhoNLA9y2IG8N3ipuw9GENqQ8Xzzwc4/3ybxo056nBgISpKclPtU+Uf6/ALXZ9FBnLbdjhwQOf991189JHBzp06wSD07u1w000Wgwc7NGoUmuB9rPeRUgrvAS8r3l7BqvdWUbCrgAatGjDwkYG0P7898Y3j0YzoqNJF9It8n0Wujw6UrIUeuS56+Da1MbD7fD7cbnfJbraibpLcVCY3WTZ52/PZ/vTHtJ39AT1zNoG/mL2NTiFw+xM0vOJMXC3SMeJjQnP8HAf92+9w/eMf6GvWQFERTkYGwfvuo7DnQJZ/to1VkxZSsKuQxJYNMEcO472lnVi1OYEin8b48RYPPWTRsqUiJqaGnwhRZ0luqnnRdbZRzLJs9u5VvP66m4kTXRw4EHrzn3qqw513huZgNGgQatH5rdrADtjsmL2Dec/MY/+y/Rhug65XdqXPnX1I7ZCK7tKlwBA1pux7L3I32MgWpbKBvWxXdk3x+Xx4PJ6SZCREXWZZFgfWZ7PlkffovuBNTvPtQVk2+9JOoXDC7TS5fjjuxqlobrNkERFt4UJczz6LMW8e+Hyo9HSsRx/Ff8nl7Fiaw7w7fy7JTc0v7M5i92l8/l0j9mUatG+v+Mtf/Awb5hAfX8MPXtQrkptqhhQaVSRyYt3WrYoXXzT58EMXhYUahgF9+zrce29oZY3wDt6/1YMBULinkDl/mcOaSWtQtiK9ezqn/+F02oxoUzLRW4oMUZuE34+RXdjhQBkO6pFjwyN3gi3bmlQd722/34/bLXOaRN0UmZt2LNrH1vtfY8Dy1znTysVWGntSu5F74720vus8GibHg6FT8knYtAnXc89hfv45eL0QF0fw4YcJ3nEHhV6DOU/ML8lNjU5Jx3XOYN5d0JG5C9xoGtx4o8VDDwVp0iS0qIl8xERNktxUPWToVCULP1THgZUrFS++aPDJJyaWFSowBg+2+d3vLM46yynZfOi33jNKKZygw/K3lzPvL/PwZfuISYmh54096XtnX2IbxR46TnS9+UT9Uvb9qZTCMIxS3djhlqTIwH60lqSqer+Hu6drU5e5qHz1MzcplO2waeZWMh95hdPXvU0n5cPRdLal9CL31t/R8YHzaRTjBggVGErBgQOYr7+O67//hYMHweXCuvFGAg//HqdROsvfWXE4NyXH0PryU1mXMoD/vJ1AZqZGRobisccCDB/ulAyTknQlagvJTVVLejQqiVKh4iIYhCVLNF5+WWfqVBPbDg2HGjXK5p57ggwcqCocYMMFxp5f9/D9w9+TuSwTM8ak1bBWDH1iKE37Nq3aByVEFSobjMOB3eVylQrq5S1PWJWtScXFxcTExNR4N7kQlUEphbIVKmixaco68p/5D302fEhXx4/mcrGu0Rn4776XjncNp4mhh28USmj5+ehTp+J64YXQRG/DwL7wQoKP/BGrUxf2LN7H92M/IHNZJkaMSdNBrUkbP4zXvmrB9P8ZJCbChAkWv/udRdu2Fc99QtQkyU2VSwqNk6QUWFaoF3nRIo3XXjOYOVPHtiE+XnHBBTZ33GHRvfvxFRi23yZ/Vz4L/76QVe+vwnAbJLdLZsBDA+g6viuGK7rG6AlxPMqOnS3vq+z1Ip1MEC4uLsbj8URdq5EQkZRSOAEbu9DHzq9XUfj8m3Rd/yUxFKPFxbKmxfkY999O6/GnoellCozCQvRffw0VGHPngmniDBpE8L77CAwYTP4BPwvvm1mSmxLbJNP5xtNZqffgj4+5KSjQ6N7d4b77LC66yJY9MUSdIbnp+FXL0Km6SCkIBCA7GxYv1njzTYOff9ZRCho3dhg1yubGG206dDi+nU1tv03RgSLWf7qeX//1K8U5xSQ0SSDjigz639efuLS4qntQQtRC4YAdXo6w7LrolmUBVFo3drh7uq7GLhFSV19fpRSWzyKYmcuBWSsofPk92q37jljDj2qUyvoOlxF7/020HXEKummEbxT6ys9HW78e1+uvY3z1FWgaTvfuWNdfT2DURRQF3ax/e01JbopvkkCL87oSN2IAf3s1kTlzDBo3Vlx1lcV991l06FB/hqaJ+kdyU8VIj8ZxUgqKi2HPntAQqQ8+MJgzR8flgvbtHc4912L8eIt27cAwKv5mcCwH30Efu+fvZvG/F7NvyT5iUmPoeFFH+v+uP+k906PuzSVEZYrcVCm8G2zkJkzlrRQSTgKRGzr9lsjuaSGihVKKQGGA4q37KJy3koJXJ9F6w0xauhVW6+ZsO2U4MbdeSatBGRiHFg4pmVSYl4e2ZUtoR+8PP0TzenE6dAgNk7piHN74NHbP31MqN7U8pyONLzmNGaua89pNJroO/fvb3H67zUUX2bjdNfdcCFGdJDcdmxQaFaQUFBbC5s0aixZpfPqpzoIFOg0aKPr0sTnrLJuLL7Zo2xYMo+KVqlIKf66fzJWZrP14LRu+3IBu6rQY0oLu13anw6gOGG5DigwhytA0rWSyXmRrUuT3cItSODCHv5e3E6zP52PLli1s2rSp5PaRiaAqFBUVsW3bNg4ePIjf7+eUU06haVOZeyUqTimF96CP4jXbCP6yjLw3PqfN1h9pHOshkJHB3t5nYF55CU1P64jhcZV+P+fno23YgPHdd5jvv4924ABOx45YZ5yBPX48vpadyFydxdqP55bkpuaDWpB0Zg/2NujEg/+IYd06nU6dFCNHWtx2m0WLFjX3XAhRG0huKk2GTlVAVhasXq2xYIHON9/oLFmi0bSpYvhwh2HDLEaMsGjTRqHrFd8gLzwP4+D6g2z5dgtrP15L4d5CGmU0osNFHcgYm0FC44SSdcuFEEdXdiJeZDCO/Dm8C2zkdcOf2fz8fKZNm8YPP/yArut89tlnZGRk0KpVK9q1a1clsWzXrl288cYbrFy5kvXr1/O3v/2NcePGVfr9iCPVhdyUsy2P4LK1qF9+JX/iN7TfN5+U+GQC/Qfi6z8ENWokaad1QHebpR9vYSH6ypXoP/6I+cknaJs24XTpgj1yJNallxLs1ZeDW/LZ8vryUrmp0dCOFLbpxqQfkvjyK5PUVMUll9hce63FsGHOcQ0TFqI+kNwkPRpHpRTs3AmLFunMm6fx/fc669ZpdOyoGDfOYehQmyFDLJo3D038Ka8KPRrHdijYXcDWGVvZ8OUG9i7aS4PmDehxQw+6XNKFtFPSMNwy2VuIExXZtRyenFe2RSnclQ2hz29KSgqXXXYZW7duZceOHSxYsIAVK1bQsWNHfve731VJME9OTua8886jT58+vP3225V+fFH3KAWZKzNRvyxGmzeP4m9+oG3uUuISW1A4/CKCA4fgDBtKSp82cGhceMl71+dDW7YM44cfML75Bn3ZMlTnzlg33IB93nlYgwZTkG2x9eP1pXJT12t6YHXJYP7WJkz+u4d9+zSGDHG46CKLSy6xSUmp0adEiKhRH3OTFBplOA5s3Ag//6wzZ06oyNi9W6NnT8W999oMGuTQt69Do0bh9ZS1ChcZSimChUG2ztzKxq82smP2DlDQ6aJOdLyoIy1Ob4En2VMnWtqEqC0iu6YjJ+2VbVHSNI3mzZuTlJREv379uPnmm8nOzsbr9VbZZ7Jx48aMGDGCFStWEC/bJItjcGzF3oU70H6eiz7nZ7S582jh3cCe5Azyxt1CYMAg9NP7kdSteSg3RexoTCCAtmoVxnffYcycib54Map1a4K33oozfDjOoEEEtBi2zjgyNzXo34k1ha34+st45s41aNNGce+9QUaPtunaVZasFeJE1ZfcJIXGIZYFa9dqfPedzpw5GkuX6uTlwcCBDrffbtOvn+KUUxwaNDj8Bojcmv5Ywm+WPQv2sPajteyYvYP8Xfk0P705GZdn0GpoKxJbJKIb0u8sRFWK/LyGN2WKDOobN25k9erVnHrqqaSlpdGpU6caPmNR31kBh71ztqBNn4Fn3k+4Vy4h2beXPU37kHPLoxh9BqD17U5K64ZH5ibHQdu0CWPKFIxZs9CXLkUlJ2PddBP2iBE4ffvipKQcyk0LS+Wm9hdncCC+DZPmpDBzlklhocaYMRaXXmozcKBDQoJsuidEZanLuanez9EIBGD1avj889DqUevWaVgWnHmmw0UXOfTs6dC+PcTEhLqzbPvwcn0V7cnI25bHsjeXsX3mdrI3ZpPYPJFB/28Qbc9pS0q7FMwYqfeEqG7hz+7evXuZNm0au3fvZu3atXTt2pVx48aRkJBwwsf++uuv+eCDDygqKir3902aNOGpp54iPT39hO9DnJxan5t8Fvt+3owz+UuSFv9AzOY1uIvz2dN+MPqNDxN3ah9c3TsQ3zDhUG4qPdxC27cP44svMKZOxVi5EqXrWJddhn3RRTi9ekFaGrnb8lj2wuwjclN8z3ZMX9SIz9/xsH69TpcuDg89FOTssx1atFAYMrJXiCpT13JTvf0LNxCAlSth4kSDn37S2bFDwzQV55xjc/nlDt26KZo1A5cLQJXsBBlZXPxWovIX+Fn13ipWT1xNzqYclKPoMaEH3cZ3I6VDCu7E6FsPWYi6Jj4+HrfbzcyZM9mwYQNt2rQhNjaWwsJCBg8ejCsUBI5Lx44dueSSSwgEAuX+PiEhQYZKiXIFfBa7f9xE8K1JNF01g5jdW1EBi/1dz6DB7VeQ0qcXng7NMRNiAI7ITVphIca0aRgffIC+YgUUF2OfeSbWVVfh9O4N6en4vRarXl1yRG7qeFk3NmU35J+vxbNggQEorr46tGR7RoYiLk56MYSoLnUlN9W7QsOywhvs6fzwg87BgxqxsTBmjM348Q4ZGYrUVDDNUEANT8wpFch/I9I6jsPWGVtZ9K9FZK7MpDi7mLbntqX//f1J65pGTHKMrCYlRC1RWFjIsmXL6Nq1K//3f/+H1+vl119/Zfny5QwYMOCEgnn79u1p3br1UX+vadoJHVfUXVbAZsvX6wm88hYdN03DlbWfoK2zt8fZJNx5DWmDeuJq0hA9NtRAVTY36baNPncu5r//jfHrr1BYiNOrF9Ytt2APHgyNGuEYJltnlpObftcfs1kab0xMZOJEkwMHNLp2dbj3Xothw2ySk5FeDCGqWV3JTfVi6FR409OfftL4z39CQ6QKCiAhAcaPt7n66lCBER8f3gMjdLvILeUrWmTkbMrhl+d/YfO0zXizvCS1SWL4P4fTZngbPA08Mg9DiFrkwIEDvPHGG2RnZ/P73/+eHj16oJRi2LBhAHg8nhM6rmEYJeuoH4vP52Pv3r1s3ryZ/Px8du3axerVq2natCnJyclRtzFTNKk1uclRrHhvBbz0Kj13fYNWkI+ludnZfSSx991A07N6oScllFqitmxuMtauxfz73zFnzICiIlSLFgQffhj74oshLQ1cLnI255abm1qf3YYFS2J5YoKHtWtDm8/ecEN4TwyFyyW9GEJUt7qUmzSllPrtq504pdRRu2iqg23D119rvPiiwZIlOn4/xMcrrrrK4cYbHTp0CAVSXT8cTMOTt48Y83qMaOsv8LNm0hoWv7yYvG15GDEGfe7sQ5/b+xCTEoNmVHz5WyFE1cvNzeWNN95g/vz5PP744/Tt27dCAbgyLV++nAceeIB58+YRCAQwTRPTNPnXv/7FlVdeSWxsbLWeT31S47nJUvzyz3nEvvYifQ7OBL8fW3ezsfvFNPjDrTQa3gMtxoNm6KUmiUbmJm3PHtzPPYfx0UdoPh8qLg775puxbroJ1aQJuFz4CwNHzU1eFcOTT3n48EOTQAAyMhz+/OcgZ5zh4PFIgSFETahruanOFRrhR+P3w6efajz/vMm6dRq2DQkJihtvdLjtNpsWLUr3XoTPFQ63FoUdbU6GUgrlKPYt2cf8v85n+4/bsYtt2p3bjsGPD6ZR10bopl7ubYUQNUMphdfr5YMPPmDy5Mk888wzDB48uEZ6DxzHwbZtyoZhwzDQdV3iRhWq/twUeo39XodFT8+g4VvP0z1vHppjYWkuVvW8kvSn76TR0AwIFxcRBQZE5KacHFz//jeuV15BKyoCTcO67DKs3/8e1aED6DrOMXJTw4xGfDXVxR/+4GbvXg3DUNx5p8WDD1okJSEb7wlRA+pqbqozQ6fCw6MKCmDyZJ1//ctg82YNpSA1VXH77Ta33OLQqFH4vMrePvRkhse8QumNVSIfR/i63gNelr+xnKWvLcWb5SW5bTKnPXQaXcZ0wZXgOuJ2QoiapZTC7/fzxRdf8Pbbb/O3v/2NIUOG1Nj56Louw6NqSPXlplByKjzoZ9Vfv6Xx+89zRt4SDM3Gp8excsCttH7+Lrr2al3ueZXkJsvCKSzE9eGHuP/+d7S9e0HTsIcOJfjkk6g+fQj/SXC03NRpdBcyc91MuNHNV18Z2DZ07+7w4osB+vZVh+6/Wp4WIUSEupybqmUyeHjiWlVQKjTB++BB+OILnVdfDRUYug5t2ihuv93huuvsY675Xba16GjzMcLXCxYF2TVvF3Ofnsu+xfvwJHnocV0P+v+uP8ntk6W4EKIWCrdgf/PNN7zwwgs888wzjBgxQj6v9ViV5iZH4Vg2BXsK2PzyDBp98BIDc5ZjGIrC+DQ2Dr2Bdv+8lZ5t0o76HlRKgePgeL3oM2bgee45jJUrQz0WvXoRfPRRnBEjUIduf7Tc1Pfe/sQ0T+ajySZPP+1i3z6NhATFAw8EuftuG7e7Sp4CIUQF1PXcVOVDpwACgUClB3PHCQ2P2r8fvv5a5/XXDTZt0vB4oEsXhxtucBg71iE+/rcLjNDxQt1E5RUZJS1KxTZ5O/L45V+/sPbDtWimRnqPdPr/rj9tR7TF9NS7RbyEiApKKYLBIN999x1PPPEETz75JJdffnmdCeTixFRFblKOwvIGKNpxkB1v/UiD9/9Dm5xl6B4XeUkt2TPiWlo9cS0xLRr+ZoGBzweLF2O8/DLm99+DUjht22LdfTf22LGoQxXCUXPTff1pdkZbNm9z8fe/u5g2zUDTYPBgm6efDtKli+zsLURNqg+5KaoKjfDwqMJC2L0bpk3TeffdUA9GUhL06OFw9dUOF1zgkJh47C7g8PlE7rwI5U/6tgM2hfsL2fDFBn59/leKc4pJap1El8u70PPGniQ0OfHNU4QQVc/v9zN9+nSeeOIJ/vSnP3HllVfWqUAuTkzl5iaFP9uLf/s+dr03m/gP36Jt/jKIiyevSSeyzxlLk9+NJaZlo2O/9xwHVVSEtmED+gcfYHzyCZrXi2rZEuvKK7Guuw4aNgwNmzpGbup2XU98RgJTpxq8/LLJ7t06rVop7rgjyFVX2cTEyDApIWpafchN1VJoBIPBUpOrj1e4wMjKgh07NL75Ruejj3R27tRo3FjRq5di7FibESMUyckVOd7RJ31HvsCO7VC4t5C9v+zll+d/Yf+y/SQ2T6T5wOb0uaMPTfo0qXNvCCHqGp/Px7fffstf//pXHn74Ya6++mr53AqgMnKTQjlQuCsXtWMXO975iYTPP6C9dxXBpEZ423Yld/gYUidcSHzb9N9q/QKvFzZvRp82DePdd9H27sVp2RJn5Eis669HtW8PhnHM3NT7/7d339FVlenbx7/7lFRCCknohJBGaNKrUpQSAUdBpVixjGV0rGNXHH/qjIVREcRXHJ1BRRkQEQSUIspAEKkCAQIREqSFQBLSyzn77PePGMSxkGh6rs9aWbMmiTlPcva+L+797P08t/eiSVwLduyw8/bbdj77zIG/v8Xw4SZ//rObjh21s7dIXdBYsqnONxpuNxw5AikpBp9+auPjj21kZRm0b2/Ro4eHceMshgzxEBhYsZ/3c03Gz90qVZhRyIkdJ0h6N4mUJSn4BPsQ3j2crtd2JXpstG6TEqkHCgsLWbx4MbNmzeKee+5psIVcfpvflU0uD6f3nsB56ACH/7WGoNUfEeE6QGFoG8zOXcke8geCJo7Ev0P4r/8gyyq7DzglBdu6ddjfew9j926sdu0wL7gA91VXYfXsCd7e58ym9gnRHDri5LPPbMyZ4+T4cYPzzvNwzTVuxo41K3QhTkSqX2PKpjrbaHxfd9mxw8aqVTZWrCjbA6NTJ4vevT2MHu1h4ECLJpW4a6kiTUZJXgkZOzL4dum37PnPHtxFbpr3aE70mGjiJ8bjH1a1W7OLSPUoKChgwYIFvP/++/zpT39i0qRJWuFJfuQ3ZVOhm6ytaXjvS+LE3C8I+3oZYVYGuS1jcfbrQVb/iwkaPwS/ts0qMgCMvXsxvvoK28KF2DZuxGrdGnPgQMzLLsNzwQUQEFD2ur+WTRPiKbb7s26djXnzHHzxhZ2WLS1Gj3YzebJJp06axRCpKxpbNtVIo+F2u3+0+d2vyc+HpCSDr74y+OILG4mJZTuV9u7tYcAAi2HDPPTqZVGZTRH/96Hvn2syTJdJ5t5MDqw4wL6P9pG9P5uwrmFEjowkblwczTr+8oN7IlK3FBQUMHfuXJYuXcqtt97K+PHjtS+F/ERlsqkgu4TsDfvw2b6R3I/X0nzPl/hahZyO6on/8H5kdR9GyCX98W4WcO4fZpqwZw+2tWuxffYZtnXrsEJDMQcPxhw1Cs+wYZSvxX6ubAqKacbmzTaWLLGzaJGD3FyDYcNMrrjC5MILzQrP9otI9WuM2VRjjUZurondDj4+P/89OTmwdavBmjUGiYl2duwwCAqyuOACiwsu8NCvn4f4eHD8hjuWzn7g+38f+rYsi/xj+Rz47AApn6RwbOMx/Jv7Ez0mmqjRUbTs2xK7096gDwKRhqSgoIB33nmHNWvWcPPNN3PJJZdgt+sclp9yu93kZpVgt1z4BP38Trd5GUVkrtmF74Y1mF8k0uzgZiwM8s4bRMAlg8nt3J+Qi7rh8P+FcDubZcG+fdhWrMC2ejW2DRuwfHwwR47EPWIEnkGDoHXrCmfT8RNOFiyws3Spne3bbcTHe5g40eTii02ioy1tvCdShzTWbKqRRmP7djf/7/9B9+4WN974wzS1ZcHp07Bhg8GKFXa+/tpg/36Dli0tRo3yMGSIxXnneYiIKHuG7re8F+VNxtmzGOX/W1pQypH1R9g7fy/frfvuzM6psZfF0npAa3yCfRr8ASDSkBQWFjJnzhzWrl3LzTffTEJCAk6nU+ex/KzklQdxvPUG7rCWRE677ayduCHvRAEnlm/Hf81yvLdsIPDwHort/hSdfxH+4y6ipFN3AvvEYFT0QtR332H75JOyJmPzZnC7cV98Me4xY/D07g3t2sH3F8DOlU2Grw9Ll9mZN8/Bhg1lS9ZOmuRm3DiTnj09+PlV8x9ORCqlMWdTtTYaxcUwZw68/bbFzp3Qv7+Hjz5y4+tbNoOxerWNTz6xsW2bwdGjBm3bWlx2mYdhwzx07GgRHv7bGwz4ocn43/0xPKaH7JRsdv57JwdXHiTvaB7NuzenyzVdaDe4HQGtA7A5dClIpD4pKirinXfe4csvv+Smm25i5MiReHt7N4pCLpVTXGCy4+nFRCydif+eLWSHRtN04zJ8WgVTcLKIQx98RdNViwja8zV+J1Ip8A6hePho/K4YBV064xfTCsNRwQYjMxPbsmXYPvoI2/btkJuLOWoU7gkTcHftCu3aYXx/VbMi2bR7r5033nDw5Zd20tIMhg71cMstLvr29dC8uZasFalrGns2VVujkZwMzzwDa9bA8eMWEyea3HWXh8hIi6VLbXz4oY09e2xkZkJkZNnXL7rIokMHi8BAfveDa5ZlYZrmj3b6BijNKyXpvSR2z91N9oFsvAO96Xp9V2IvjSWoQxAOH0ejefNFGori4mLef/99VqxYcaaQ+/r66lyWnzi4IZ3ip54jfONiQnIPcaDtEEKnP4yrW08OvLWOsFXzCEvbijMznUL/MPIvHk/A5DE4Osfg1aoZNoe9Yv+aLyjA+O9/sf/739g2bYKsLDyDBmHecAPunj0xW7bEOOuK5rmyqcjlYO7cso/kZBuBgRb33uti9GgPbdtaOJ3V/IcTkUpTNlVDo+FywX/+A9OmlTUbQUHw7LMe+vZ1sXKljXnz7KSmGuTnQ1SUxZQpJiNHemjdGvz9qZJ7SstvlfpRk2FB2hdpbJy2kVO7TmGWmkSOjKTX7b0I6xqGVxMvDFvjeeNFGorS0lIWLlzIwoULmTJlCmPHjm10hVzOzeWy2Pr8KiLmPE1Q6nZME9JvfATva8ezf87XRK1/l7ATu7Hn5VDQJJyssVfT7KY/4IyLxBEcgM1ZwatfLhfGrl3YZ83C+PxzjMxMrPh43LfdhmfoUMzmzfE4HBXOJqe/F1u32XnlFQfr1tnIyTG4/HKTu+92ER1t4eenWQyRukjZVKZKG42jR+Hvf4cPP4SMDBg7Fu65B1at8jBvHpw8aVBSAnFxFrfdZjJ6tIeQEPD2rpoGo/xh77NXETEMg5xDOSQ+nciBzw7gKnARFBnEgIcH0GFUB7yaeOk2KZF6yu12s3z5ct5++22uuuoqJkyYUKOFPCsri48//pj58+eTkpLC1VdfzZ///GfCwsJq5PWlYtL35XD04VeJ/PyfBOYfIS2kFzz7LPsW7KD7rncJyUnDXlJIjl9LToy7mTb3Xo6jXUvs/r4Y9grmg8cDR49inzED24IFGJmZ0Lw55o03Yk6YgKdVK8yzVjOpSDbl5Nl47z07b73lJC3NICLCw2OPuRg+3ENQ0O+7tVhEqo+y6QdVsuucxwP//S88+SRs3Ai+vvDQQ2XNxpVXQl6egdsN553n4e67y/bA8PMrW0Gqqv7mP/fQt6vIxbZZ29g8fTMlOSXYnXb63N2HXnf0wjfEF8NuNLrOUqShME2TdevWMXv2bMaPH8/EiRPx8anZBRxcLheGYTBq1ChsNhu5ubm/a6dpqVoeD+ydvxP703+l874VYLrZNeg2juf40ee+mxhRkoHdLCXDpx0npjxB1BMTiWwWhM3L+dMZ7ry8snD736UPLQsKCrDPno3ttdcwTpwAf3/Mq67CvOMOrNhYPHY7nrNWPDxXNmEz2LnTxnPPOVm1yo5lwVVXubnvPjcREVaVZqeIVC1l04/95kajfB4kLw/eeQdeeKFsB+/4eGjRAmbOhMLCskI/eDDce6+L4cPLNg2qyqswP7cJH0DqylTWPrGWzORMLNMi4qIILnz+QkJiQzBsajBE6qvymcvt27fz4osvMmLECG666aYaL+QA4eHhXH/99ViWxaFDh2r0teXnlUWCRX5mKd++tJjgGf9HRP4e0r3aciioC3Ffz6erOxsbJof94si++V5ip04gyNcH/jcbypuD1atxPPUU5h134Bk3jjMbOXk82ObNw/7MMxiHDoHDgef88zEfewxrwAAsmw3P9xfByp0rm/LzDebNs/Pii06OHTOIibF45BEXo0eb+H+/X6ziS6TuUTb9vN/UaFhW2UdqKjz7LMydW9ZQNG9e9rm9e8tuhRo9Gv7yF+jTB7Ztg48/NrjiCqtamgzTNMGC3EO5bHhuA/sX7ccsMQmMCGTwM4OJ+UPMT3YBF5H6pbyQ79u3jyeffJJ+/fpx33331Uohhx9v+lm+94HUHsuywIITO9M59JcZxH/+Gv7kkW5vSYArk76Zn4Jh40BwTzz33k/k3X8gc1UaW59bQ++nx/y0ySguxvbBB9ifew7jyBGM1ath+HCw2zHWrME+dSq2HTvAbseKjcX9+ONYl12G9f1qJpXJJtM0+HYfTJ3qxbJldvz8YOJEkwcfdBEbWz4bUht/VRE5F2XTL6t0o2FZUFQE69eX3R71zTc/zCRnZIDTCWPGlD2fkZkJzz8PGzZATo6T0FCLMWNcv2mNb8uysEwLw/7jN8zj8eB2uSnJKWHfwn1sfmUzeUfz8Arwotefe9H3nr54N208y4iJNFTlhTwtLY2HH36Y+Ph4pk6diq/vz2+0Jo2LZVmU5rs4vGwnOXc+Sr/MVbhw4MFOc/M4FjYOhPXn9OjJnM53YH9zGT5PPkx3Kw1Pk6bk/TEJ34jwsh/m8cCpU9hnz8Y+axYUFWHefjvm3XdjHDiA/W9/w/b552CzYbVpg/uuu/HcfDP4/rBpX0WzybIM8vLggw/sPPOMFzk5EB1dtqLUxIkmOrxF6jZl06+rcKNhWWW198QJeOutsgaioKDsa253WYMRHQ0hIWXPaSxfXvY5L6+yj+hoi0GDPOTkUOlGw7IsXPkuDq46SMs+LWnapmnZMxmmh5KCEtK3prNl+hYOrzuMzWEjakwUAx8eSFiXMGwVfZBPROqs8kJ++PBhHnjgAdq0acPzzz+Pf/m9JNJolWWBRcHhLPY8+zHt355KtHUcC3DgxoPBce8IMrwjCM4+Qvc595XtWeH0whbghdunJd+F98Hn6Gl824WBacK332KfPh37Bx9ASAjue+/F6t8f+9//jn3+fDBNrObNMW+4geLrb+HglmxaZpbStI1PhbPJsNkoLITkZIOpU52sXWsnOBjGjzd5+GEXHTtqdkykrlM2nVuFG43TpyEpCR57DNat++HzhlG254XHA4cPl81i+PuXbXLasyf07w/9+kFkpOsnz9BVhGVZFJwoYPOMzWx+dTMdL+/I6NmjcZW4OJ16mr3z95L0bhKuAhehnUPpcUsPYv8Qi1eAV+VfTETqrEOHDvHggw8SGhrKK6+8QkBAQG0PSeqA/IxCinamkHzjC5x/5APKLy1ZgAsnBhbhpcdoZpzGCPKDwCiOBHchN74fTYf3IyyhM20Cm5y5VcrYvBn73/+OLTERKyoK84orMHJysF9/PUZ2NlZYGJ5LL8V9x50UeIeweeaWSmdTSQmkpxvMmWNnxgwnlgVdunj485/dXHmliZfiS6TeUDb9ugr/0//ZZ+HVV8v2yYCyBsPHBwIDyz7Cw6FTp7LnMXr3ho4dy2YyDKOsfpeWVn5wHreHU/tOsf7/1rN/8X6COgQR3j2c7NRsjmw4wo43d3By90matmtK56s6c94N5xEUGaT9MEQaEMuySElJ4fHHHyckJIQZM2YQGBhY28MCvp9tdbnOfFiWRWFhIcXFxY1q59fatP3uf9PtP48ymFygrMFwG05KfZpiBAViDw0mOzSa7Kje+F7Qm5YXdyciNPDMfculpaVlIZWZibFiBY6//Q3j6FGsuDg8nTtjX7QI4+DBshmMyZPx3HILZnxnTn2bzfqHVv1sNn3z5g6++yYH31aB9LipLT1uKssmC4Pjx+Grr2xMm+YkKclG27YWo0aZ3HOPi3btavdvKSIVp2yqmArvoxEQUHarVFgYtGpV1lhERUH37mUfHTuWfc/Pjf1MMa8EV6GLI4lHWPvUWk58c4Lm3Ztz3g3n4Rvuy57393BwxUF8gnxoc34bulzThbaD2uLwqZLVekWkjrAsi6SkJJ555hlCQ0P5xz/+QUhISG0P64yioiK2bt3Ktm3bWLRoEZZlMWLECLp168ZFF12E3295IE0qJcseSrAnk0JHU9zNW+PVOgxXi3acat0Ne6/uhA7til/7MAz7TzfcsywLV0kJVkoKtvffxzFrFrhcWOHhEBCAkZaGFRaG1b8/5qWXYp1/Pi7fphzZcPQXs+nAilTyjKYk2brR6uJO3PWwN1FxdnJzISnJYO5cB/PnO2jSxKJXLw9//KObESM8VbKXlIjUDGVTxVX4X+Z33gknT0LnzmW3Q8XGlj2PUR1NUWFmIfuX7GfjCxspyCggcngk7Ya049SeUyT/XzKuIhdtz29LzCUxRI+Nxj9c98KJNDSWZbFt2zZeeOEF2rRpwzPPPFOnCjmUbcp09OhRtm3bRkREBAApKSn4+fkxePDgWh5d45B19V0EcYCCJu0p6j6AoIGdaNqxNU0dFdjJ2+3G+PJL7G+8gW3JkrIHC318MLKywO3GM2gQVo8eWDExGGlpFOV72Jfbiq9mfPOz2VRS4MYTGck3ed3YlNORzkfh6AkXbiw++8zOu+/a+e47G+ed5+HSS91cfbVJcLBWkxKpT5RNlVPhGQ23+6f7FFVU+RRORV7qdNppdr27i+1vbgcgtHMoQZFBHNt4jMx9mbTo1YKoi6OIuSSGZnHNdJuUSANkWRYbN25k+vTpxMXF8dBDD9GsWTPdiiQ/4S4oweFtr3xAZWZizZuH9frrGLt3l33O2xu8vbHatCmbyWjVCiM7G9vu3Zw+UcL2dn9gW0Y7LB+fn2RTeI+WlEbGsvJoJ9YlNSM+3uLqq934+MCyZXa++MJO8+YWo0a5mTjR5LzzyvaVEpH6Q9lUeRVuNH6PijQalmVxYscJtr+5neSFyXj5e+H0d+Js4uTkzrLnMGIvi6VDQgda9m6Jw1u3SYk0RJZlsWHDBl599VV69OjBn//8Z0JDQ1XIpeokJcHrr8O8eVhZWWWfs9vBzw/LMMo2hcrNxcjNxWrVinT/aLamhbInry3OVqE4/b1+lE1Rl8SS2SyGD/7bjsSNTrp39zBypEl6usGqVXZOnTIYMsTk8svdXHihh8BAzWKI1DfKpt+mTvxr3eP2cDjxMFtmbiHtizRsDhtmqUlxTjE2h42u13el/fD22Bw2DAw1GSINlGVZfPXVV8ycOZO+fftyyy23qJBL1TFNWLiwbI32L7/EOvvZQcsClwvD48Hy8sIaNQp31258l+HLptX5pJWWYAt0YpZ6KM7JO5NN7S5qz8a9IcxZ2ppdu2z07m0SFWWxYoX9+4e9PfzlL25GjzaJjLRwOmvv1xeR30bZ9NvV2IyG2+3G4/H85GvuYjcHVhxg0yubOPHNCdwlbuxedjxuD+0vak9YlzBKc0vJOZRD/rF8AtoGMG7eOGwOPTkn0pBYlsWmTZt45ZVX6NevHzfccAMtWrRQIZeqceQITJsGS5dCaip4PJwJPy8vrB498PTvj6d3b+jQAVdgMw5syWHTGzt/MZuKc0r5IjWSxUkxHM/yoXcvk1KXwfHjBkVFBqNHlz2H0aOH5xcXSxGRuk3Z9PvU6tRASV4JyR8ls+mlTWQfzMbjKmtE/MP8adKqCVkpWWTty6L4dDEluSUEtg8kND4U02Wq0RBpQMofrpsxYwZ9+vRhypQpNG/eXIVcqk5SUlmTceBA2f/394chQ/Ccfz5mnz5YLVpAcDAEBlJS7DlnNp3al83K031JPB1JgeFD+7B89ib7U1pqEBnp4fHHXQwfbhIejmYxROopZdPvV2szGsXZxXzz9jdsmr6JwpOFYIHd245hM7A8FobdwCw28W/hT4dRHYgaHUVY5zC8m3rjHeith8BFGojyZQKnTZtGx44dufXWW2nVqhU2rfcpVSk/Hy6/HHJz4eabYeBArOBgTB8fTG9vyteXrUg2FRUbrHZczDel8ZQa3jRtalGYb+HlY+PKK92MHetm5047hYUwYYJJ587a5VukvlE2VY0am9Eo7/4sy6Iws5D1/7eepPeScBW6znyPWWKCAT7BPkQOjyRufBwt+7bEy98Lh7cDw2GoixRpQMo3PJoxYwZt2rThj3/8owq5VI8mTWDevLJnMfz9ObP9tmmCaVY4m5pdEMM7+waybX8ops2O5YG8PIP27S0uvbSUlBQ7d97pTW6uQXCwRXy8RefOZi390iLyWyibqk6N3jplWRY53+Xw4bgPydyXiWX+cJXH4eugzcA2xE+Ip/3w9vgE+5Q9/P39zIUaDJGGxbIsDh8+zMyZM/H29uauu+6ibdu2Otel+gQH//j/fz+hX9Fs8oqP5N7HmrLxgBduT9ku5IYB3bt7yMgwmDnTC4+nbJXcAQNMpkwpW2VKROoPZVPVqtFGw+PysPv93ZzacwoAw24QEhNCp0mdiL0slqD2QRh2A75/L/WmijRMlmWRkZHB66+/TnZ2Ns899xzt27fXOS+14lzZFNg+iINpNm6/3ZtNm2yY309Q+PlBURFs327DMKBFC4vJk00mTnQTF2dhs+kBcJH6RNlU9WrsGQ2Px4PL5aIwo5B/D/o3zTo2o/9D/WnRqwUOrx/6Hb2ZIg2bZVmcPn2aWbNmsWnTJl5++WU6d+6sc19qXEWyybIMduwwuOceL7ZutXF2YtpsZfsEDhtmcu21bkaN8uDr+8PXdUiL1B/KpupR442GZVmY5g/3qxqGnrsQaSwsyyIvL4+33nqLTz/9lFdffZWePXvW9rCkkTpXNoHBJ5/YePJJJ/v3l92b7XCUrSLVvr2HiRPdTJpk0rZtLf0CIlIllE3Vp8ZunfJ4PD8p5HqoRqTxsCyL/Px83n33XRYvXsz06dNVyKXW/Vo2ud2wdauN1FQbfn4QGGgxYoTJxIkmgwZ5cDg0ayFS3ymbqleNNRp79uzBNE2aNm1KYGAgTqeTvLw8/Pz88D17rllEGpzyQj537lzmz5/PP/7xDwYMGFDbwxI5ZzYlJJgcPGjQsaOH664zad36zEq4IlLPKZuqX401GgsXLuTLL78kPj6ebt26ERgYyLZt27jkkkvo06ePZjdEGrDc3NwzhfyFF17gggsuqO0hiQDnzqYBA2wMGOA69w8SkXpH2VT9auwZDdM02bFjB8uXL+fNN9+kpKSEmJgYEhIS6NmzJ23atKFly5b4+fnpmQ2RBiQ7O5s5c+awdOlSnnnmGYYNG6ZzXOoEZZNI46Vsqhk1MqNhGAZ2u52uXbvy9ddf0717d/r370/Tpk3ZvXs3ycnJBAYG0rZtW6Kjo+nQoQMRERH4+PjoTRepxzIzM5k9ezaJiYn87W9/Y8iQITqnpc5QNok0TsqmmlOz+2h4POTl5fGnP/2JESNGYLPZyM/PZ//+/ezYsYM9e/Zw4MABDMMgPDyc2NhY4uLiiImJwdvbWweBSD1y6tQpZs2axa5du3jqqac4//zzdQ5LnaRsEmk8lE01q0ZunSpnWRYFBQX4+/v/5E21LIvc3FwOHDhAcnIyycnJnDx5kvz8fJo0aULXrl3p2rUr8fHx+Pr66qAQqcNOnTrF9OnTSUtL4/777z/zcJ3OW6mLlE0ijYOyqebVaKNRUeWF/bvvvuPQoUMkJydz6NAh0tPTcTqd9OjRg379+tGpUycVdpE65tSpU7z88sscO3aMe++998xiDzpPpb5TNonUX8qm2lEnG42zlV9pSk9P5/jx4yQnJ7Nr1y5SU1Ox2+3069ePwYMH07FjR903K1JLPB4PhmGQnZ3NSy+9xLFjx7jnnnvo3bs3drtd56U0OMomkbpP2VT76nyjUa58mEVFRWRlZXHixAl2797Nxo0b2b17N02aNGHw4MFcdNFFREdH43Q6dQCJ1ICioiI++OADNm7cSE5ODna7nQcffJA+ffrgcDh0HkqDpmwSqZuUTXVDvWk0zmZZFpZlUVpaSl5eHhkZGWzdupXPP/+cbdu20bJlS4YPH05CQgKRkZGaGhOpRqZpsn37dp5//nk2btyIYRgMGTKEMWPGMG7cOIKCgnT+SaOgbBKpO5RNdUO9bDTOVl7Y3W43xcXFnDx5krVr17J8+XI2bNhAdHQ0o0ePZsyYMXTo0EEHlUgVKyws5M0332Tt2rXce++9tGzZkrVr1/L555/z2muv0apVK5130ugom0Rql7Kpbqj3jcbZyn8V0zRxu92cOnWKzz77jI8//ph169YRHx/PpZdeytixY1XYRapAcXEx8+bN46OPPuKee+4hISEBm82Gx+PB7Xbj5eWFYRg616RRUzaJ1CxlU93RoBqNs5X/WpZl4fF4yMrKYsmSJXz00Ud89dVXxMfHc8UVV5CQkEDbtm2x2Wxn/lsdeCK/zrIsXC4XS5cuZfbs2dx+++1MmDBBt4KInIOySaT6KJvqngbbaJzt7F/RsixOnDjBxx9/zMKFC9m9ezfdunVj/PjxXHjhhYSHh2Oz2c4Udx2YIj9WfjvI2rVreeGFF7juuuu46aabVMhFKknZJFJ1lE11U6NoNH6JaZqkpqayZMkSFi1axLFjx+jduzdjxoxh0KBBBAYG4nQ6cTjKNlDXgSqNXXkh37x5M3/9618ZN24cd99995lzRER+P2WTSOUom+quRt1onM3lcrFnzx6WLl3KsmXLyMnJoW/fvgwbNoy+ffsSEBCAr68v3t7eKurSKFmWdWYVjyeeeIIRI0bw8MMP43Q6a3toIg2Wsknk1ymb6jY1Gj/D7Xazfft2VqxYwapVq8jLyzuz42vPnj0JDg4mMDBQO79Ko3F2IZ86dSqDBw/miSeewMvLq7aHJtJoKJtEfkzZVPep0TgHt9vNjh07+OKLL1i3bh05OTnExcXRpUsXOnfuTIsWLQgNDcXPz+9HD+2JNCSmabJp0yaefvppBg0axNSpU/H29q7tYYk0WsomEWVTfaBGo4LK7/9LSkoiMTGRTZs2kZubS+vWrYmOjiYmJoa2bdvSqlUr/Pz8dDVJGgzTNFm/fj3PP/88Q4YM4ZFHHsHHx6e2hyUiKJuk8VI21Q9qNH4Dy7IoLi5m7969bN68mZ07d5KXl0dAQMCZ4h4VFUVERISmsKVeM02T1atXM336dIYPH87999+Pr69vbQ9LRH6GskkaC2VT/aFG43eyLIv8/Hz279/Pzp072bNnDzk5OViWRbNmzejYsSMdO3YkJiYGHx8fFXapN0zTZNmyZbzxxhuMGTOGO+64Q4VcpJ5QNklDpWyqX9RoVCHLssjNzeXgwYPs37+fvXv3kpGRQV5eHr6+vnTp0oXu3bsTHx+vKWyp0zweD4sXL+att97iiiuuYMqUKfj5+dX2sETkN1A2SUOhbKp/1GhUE8uyyMvL4/Dhw3z33XckJyeTmppKeno6NpuNnj170r9/fxV2qXM8Hg+LFi3i3//+N5MnT2by5Mk6RkUaCGWT1FfKpvpJjUYNsCyLwsJC0tPTSU9PJzk5mZ07d3LgwAEcDgf9+/dn8ODBxMXFaQpbapVlWXz88ce8/fbbXHPNNVxxxRU0adJEx6RIA6RskvpC2VR/qdGoQeV/6uLiYrKyssjIyCApKYkNGzawa9cuAgICGDJkCMOHDyc6Ohqn06mTSGqMZVksXbqU2bNnc+211zJ+/HgCAgJ0DIo0cMomqcuUTfVbtTYab7/9Np999hlJSUn4+vqydevW6nqpeseyLCzLorS0lPz8fDIyMtiyZQurV69my5YttGrVihEjRpCQkEBUVBSGYeikkmpjWRarVq1i5syZTJgwgYkTJ9K0aVMdc9IgKZt+mbJJ6hJlU/1XrY3Giy++iNvt5siRI8yfP5+TJ09W10vVa+WF3e12U1xczKlTp1i7di1Lly4lMTGRqKgoxowZw+jRo4mJidEJJlXKsizWr1/PSy+9xMUXX8z1119PUFCQjjNpsJRNFaNsktqkbGoYqrXRcLlcALz33ns8+OCDKuYVUP52mKaJ2+0mKyuLTz/9lCVLlrB27VpiY2O57LLLGDt2LB06dNCOr/K7WJbF9u3bef755+nTpw933nknwcHBKuTSoCmbKk/ZJDVJ2dRwVGslcDqdOJ1OFZxKKJ+GdjgceHt707JlS2688UYWLVpESkoKt956K+vXr2fYsGGMGjWKN954g0OHDmGa5pmrT3rsRs6l/DjZt28f06dPJzo6mttvv73WCrllWfz3v/9l9OjRhISE0L17d5YtW4bL5dLxLFVO2VR5yiapCcqmhqfSVdayLFwuF8XFxb/4UV5Y5PcpL+yGYWCz2QgNDeXGG29k6dKl7Ny5k2uuuYZPPvmE4cOHM3HiRObOncvx48dxuVw/Ku6AirycUX4cpKWlMX36dAICAnjggQcICwurtatFu3fv5oUXXiAqKorly5dz2WWXcdttt7F///5aGY/UP8qmmqNskuqgbGqYKt1o5Ofnc//999O8efNf/FiyZMmZqWmpOmcX9tatW3P77bezcuVK1qxZw4UXXsg777xDQkICt912Gx999BHp6ekUFhZSWlpKVlYWp0+fru1fQWpZeSE/evQoM2fOpKioiCeffJJWrVrV6pg2btyIn58fN9xwA/3792fq1Km0b9+e999/H7fbXWtjk/pD2VR7lE3yeymbGi5HZf8Df39/Hn/8ce66665f/J4WLVrgdDp/18CkYhwOB3FxccTFxXH33XeTlJTE8uXLeeONN3jhhRfo3bs3ffv2Ze7cuQwaNIhHHnkEb29v3efYCJUX8vT0dF5//XWOHj3Kyy+/TERERK2OyzRNjh49SnBwMM2bNwfAZrMxYMAAdu7ciWmaqidyTsqmukXZJBWlbGrYKt1o2Gw2wsPDCQ8PP+f3lpaWYpompaWlWJZFUVERAN7e3ro3tho4nU569OhBjx49eOihh9iyZQszZszgr3/9KyEhIWRkZDB//ny6d+9OaGgogYGB+Pr66r1oBM4u5LNmzWLfvn289NJLREVF1fLIoKSkhIKCAvz8/PD29j7z+ZCQELKzs2txZFKfKJvqLmWT/BJlU8NX6UajMrZs2cKePXvYsGEDJSUlvPfee3h7e5OQkFChMJDfzuFwYLfbOXbsGLfddhuXXHIJiYmJrFq1ivnz5xMTE0OXLl2Ij4+nZcuWhIWF4efnp8LegB0/fpxZs2axd+9eXnrpJTp27FjbQwLK/oFot9spLi7G4/Gc+bzL5dLVIqkWyqbao2yS/6VsatiqtdFITk5m9erVmKZJQkICK1euJCAggIEDB6qY14D9+/czadIkbrzxRhwOB3369OGOO+5gz549JCYmsmXLFr788ktatGhBVFQU0dHRtGvXjtatW+Pn56cp7Abk2LFjzJgxg4MHDzJt2jTi4+Nre0hneHt7ExISwvHjx8nNzSU8PBzLsjh48CDt2rXTcShVTtlUu5RNUk7Z1PBV6z4aUrvcbjd2ux3gJydE+e0CycnJbN68mV27dpGXl4e/vz+tWrUiJiaGqKgoIiMj8fHx+dmfIfXDd999x8svv8zJkyd5+umn6dy5c20P6SeWLVvGW2+9xfjx4xkxYgSpqanccsstPPDAA0yePBmHo1qviYhIDVI2CSibGgs1GoJlWeTl5ZGSksKuXbvYs2cPp0+fxuPxEBwcTMeOHYmPjyc2NhZfX18V9XokNTWVF198kZKSEqZOnVqnrhadLSMjg7feeoudO3eeuWe7WbNmPPXUU4SHh+uYE2mElE0Nl7Kp8VCjIT9iWRa5ubmkpqaSkpLC3r17OXHiBLm5uXh5edG1a1d69OhBfHw8/v7+OsnqsNTUVJ599ll8fHx46KGHiI2NrdPv17Fjx9iyZQvp6ekEBAQwYMAA2rVrp3uzRUTZ1IAomxoXNRryiyzLIj8/nyNHjnD48GH27dvHt99+y7FjxzAMg169ejFgwADi4+N132wdk5qaylNPPUWzZs247777iI6O1vsjIg2Csqn+UjY1Pmo05JzKD5GioiIyMjI4fvw4ycnJfPPNN+zfvx+n00n//v0ZOnQocXFx+Pj4qHDUorS0NJ588knCw8O57777iIyMPLOhlohIQ6Fsql+UTY2TGg2plPLDpbi4mOzsbDIyMti1axeJiYns2LGDoKAgBg8ezIgRI4iJicHhcKiI1KDDhw/z5JNPnrlapEIuIo2BsqluUzY1Xmo05DezLAvLsigtLaWgoICTJ0+yadMmVq9ezddff03r1q0ZMWIECQkJxMTE6H7Ganb8+HGeeuopvL29efDBB4mKilIhF5FGR9lUtyibGjc1GlIlyg8jl8tFSUkJmZmZrFmzhuXLl7Nu3ToiIyMZM2YMY8aMITY2VoW9ip08eZK///3vFBQU8Mgjj9CxY0cVchFp9JRNtUvZJGo0pMqVH1IejwfTNMnOzmb58uUsXryYdevW0aFDB8aNG8eYMWOIiopSYf+dsrOzeeWVVzhw4ABPPPEE5513XqMt5ImJiTz22GNMmzaNXr16nfkbTJw4kcDAQGbPnl3LIxSR2qJsqlnKph805mxSoyHVrvwQsyyLrKwslixZwoIFC9iyZQsdO3bk8ssvJyEhgdatW/+osDfGYlQZ5WvM//Of/yQxMZHHH3+cAQMGNNpCDlBSUsKECRM4//zzuf3222nSpAkZGRlERETw6aefMnTo0NoeoojUEcqm6qFs+qnGnE1q16XalRcXm81Gs2bNuOGGG1i2bBnbtm1j0qRJLF68mOHDhzN58mTef/990tPTcblcmKZ55l5b+THLsigsLGTBggWsWbOGe+65h4EDB2Kz2RptIQfw8vJi5MiRrF+/npycHCzLYu7cuURERDB48ODaHp6I1CHKpqqnbPp5jTmbNKMhtc7tdvPtt9/yySefsHjxYo4fP06fPn1ISEjg/PPPp2nTpnh5eeF0Oht1oSpXXsg/+eQT5syZw9133824ceP0t/leamoq48aN45VXXmHAgAEMGDCAiRMn8uCDD+pvJCIVpmyqHGXTr2us2aRGQ+oU0zRJSkpi2bJlLF++nOzsbHr37s35559Pv379CAoKwt/fv9Guh25ZFsXFxaxcuZLXX3+dW2+9lcmTJ+te4v9xyy230KRJExISEpg0aRI7d+6kdevWjfKYEZHfT9n065RNFdMYs0mNhtRZpmmyY8cOVq1axeeff05WVhbdunWjV69e9OjRg7CwMIKCgvD19W0Uxay8kK9evZrXXnuNKVOmMGXKlEbxu1fWypUrefTRR2nfvj1Op5O5c+fq7yQiVULZ9GPKpoprjNmkRkPqPMuy8Hg87Nq1i7Vr15KYmEh2djZRUVF06tSJ+Ph4WrVqRVhYGH5+fg3ypLUsi5KSElasWMHrr7/Otddey4033ojdbq/todVJRUVFjBo1im3btrFgwQISEhIa9BUjEal5yiZlU2U1xmxSoyH1imVZuFwu9uzZw4YNG9i6dSu5ubmEh4fToUMHoqOjiYiIoHXr1vj5+QENY4WQkpISlixZwltvvcU111zDTTfdpEJ+DnfeeScbN27kiy++oEmTJg3iOBCRuknZpGyqqMaWTY7aHoBIZRiGgZeXF927d+e8886jsLCQffv2sWXLFnbt2sWuXbvw9fWlZcuWREdHExMTQ2RkJL6+vvX2ZC4pKWHBggW89957TJkyheuuu06F/FeUlpZy4sQJkpKSuO666+r1ey8i9YOySdl0Lo01mzSjIQ1C+brdKSkp7N69m927d3P69GlM0yQgIID4+Hg6depEXFwcfn5+9ebkLikp4d133+XDDz/klltuYdKkSTgcuj7waz744APWrFnDsWPHmDlzJu3bt68377eINCzKJinXWLNJjYY0OOWFPS0tjQMHDpCcnMyxY8fIysrC4XDQrVs3evbsSadOner0tGVpaSmzZ89m2bJl3HXXXVx66aUq5BWwZs0avvvuOzp16kTPnj31NxOROkHZ1Lg11mxSoyENWvm63keOHOHIkSPs37+fffv2cfjwYQzDoFevXgwcOJBOnTrVqatJLpeLWbNmsXLlSv7yl78wcuRInE5nbQ9LRESqgLJJGgs1GvVUdnY2H3zwAStXrsThcHDppZdyySWXEBQUVNtDq5PKD/OioiJOnjzJ8ePH2bdvH9u2bSM5ORkvLy8GDBjAsGHDiIuLw9vbu9YKu8vl4vXXX2fFihU88sgjDB06VBtCiUi9oGyqHGWTNHRqNOqhgoIC3n33XebOnctVV11FQUEBK1eu5Prrr+fKK6/Ey8urtodYp1mWdWZJvtOnT5ORkcHOnTtZv34927dvJzg4mKFDhzJixAhiY2Ox2+01VkjdbjdvvPEGS5cu5fHHH2fw4MF4eXmpkItInads+n2UTdIQqdGoh44ePcrNN9/M0KFDueuuuzBNk+eee4709HQeffRROnToUNtDrDfKC3tpaSmFhYWcOnWKr776itWrV/PVV1/RunVrRo4cycUXX0xsbGy1roNumib/+te/+PDDD3n00UcZNmyYCrmI1BvKpqqjbJKGonE8idKAWJZFbm4uaWlpDBw4EF9fXyzLokuXLuzbt49Tp06pmFeCYRgYhoGPjw/e3t4EBwfTvn17rrjiCrKysli9ejXLly/n1VdfpV27dlxyySWMGTOGuLi4Ki3sHo+H//znP3z44Yfcd999DB06VIVcROoNZVPVUjZJQ6FGo57xeDxkZWUB0KxZM6CsIDVt2pTS0lKKi4trc3j1Wnnh9PLywsvLCz8/P6677jquueYaTp8+zaeffsqiRYt49dVXiYyMZNy4cYwZM4aoqKgfFd3KFODyq1bLli3jvffe49ZbbyUhIaFW78MVEaksZVP1UTZJfVZ9c21SrXSiVz/DMLDb7TidTkJDQ7n22mtZuHAhe/fu5fbbb2fdunWMHDmS0aNH889//pMjR47g8XjOFOhfuivx7K9blsXatWt58803ufLKKxk3bpwKuYjUW6pd1U/ZJPWJZjTqGZvNRkhIyI+uHpWvze3l5YWPj08tj7BhKi+uhmEQFhbGjTfeyPXXX8+RI0dYunQpCxYsYNq0aXTv3p1LL72UYcOGERISgsPhwGazYZomlmXhdDoxTZPU1FROnz5NSUkJM2fOZOjQoVx33XX4+fnV8m8qIlJ5yqbaoWySuk4zGvWMYRgEBAQQERHBpk2bKCkpobi4mD179hAQEHBmylqqn91uJyIigjvuuIPPP/+clStXMnjwYP71r38xYsQI/vSnP/Hhhx9y7Ngx3n//fV588UUsy8LlcpGYmMiECRO4/PLLARg0aBAulwuXy/WLV5tEROoqZVPdoWySukSrTtVDBQUF/Otf/+KDDz7g5ptvJi8vj8WLF3PdddcxadIkvL29a3uIjZppmuzatYtPP/2UhQsXkpycjM1mY8qUKdx0000EBgZy/PhxXnrpJU6fPk1oaCjJycm0bduWRx99lL59+1brCiIiItVB2VS3KZukNqjRqKeysrKYM2cOy5cvx+l0cvnllzN+/HiCg4Nre2jyvfz8fN59911mzZrFhRdeSEpKCpmZmbRv356MjAyio6N55plnCA8PJz09nS1bttClSxciIyNre+giIr+JsqnuUzZJTVKjIVJNduzYwf33339m3XGPx8Pu3bv57LPPSElJ4bHHHqN9+/a1PUwREWlElE1Sk9RoiFSTvLw8Dhw4QLdu3X403Vy+ooemoEVEpKYpm6QmqdEQEREREZEqp7ZVRERERESqnBoNERERERGpcmo0RERERESkyqnREBERERGRKqdGQ0REREREqpwaDRERERERqXJqNEREREREpMqp0agDCgsLmTp1Ktdffz0pKSlYlsU333xDREQES5cuxePx1PYQRUSkkVE2icjvpUajDvD19eWqq67i1KlTfPLJJ6Snp/PAAw8wduxYLrroIgzDqO0hiohII6NsEpHfSzuD1yHz5s3jtddeIzAwkKysLObPn0/r1q1VzEVEpNYom0Tkt9KMRh1y2WWXER0dzZdffskDDzxA8+bNVchFRKRWKZtE5LdSo1FHWJbFwYMHOX78OH5+fuzdu5eioiI04SQiIrVF2SQiv4cajToiOzubN998k7Zt2/LUU0+xcOFCEhMTMU2ztocmIiKNlLJJRH4PR20PQKCoqIhFixaRlpbGvffey8CBAzl58iTPPfccHTp0IDY2VtPUIiJSo5RNIvJ7qdGoAwoLC3G5XEyePJmePXvicDi48847yc3NJTU1lZiYGBVzOaejR4/y7bffcuLECTweD2PHjqVJkya1PSwRqaeUTVIVlE2Nm1adEmkgli9fzrJly0hOTiYpKYlNmzYRERFR28MSEZFGTNnUuGlGQ6SBiIuLo1mzZuzcuZNp06bV9nBERESUTY2cGg2RBiIqKoqoqCiys7NxOHRqi4hI7VM2NW5adUpERERERKqcWkuRSiopKSExMZGFCxfy7bff0qVLF+66665qu+d09uzZzJkz5xfXrR8xYgT33nsvQUFB1fL6IiJS9ymbpC5SoyFSSaZpkpmZSUhICG3btj2zgVV1GTp0KG3atPnFYt6qVSv8/Pyq7fVFRKTuUzZJXaRGQ6SSfH19GTt2LBdffDEff/wx77//frW+XlRUFJGRkb/4dZvNhs2muyBFRBozZZPURWo0RCrJMAx8fX0BcDqd1f56drsdu91+zu/Lzs7mxIkTpKWlUVxcTHJyMjk5OURGRtKkSROtdy8i0oApm6QuUqMh0kAsW7aMv/71r6SlpZ3ZFKn88yNGjKjl0YmISGOkbGrc1GiINBBXX301V1999c9+TVeMRESkNiibGjc1GiINhAq2iIjUNcqmxk1P6YhUkmVZeDweXC4XpmliWRZutxu32/2Lq2+IiIhUJ2WT1EWa0RCpJI/Hw+HDh/nmm2/Yvn07GRkZrF27lqysLLp27UpwcHBtD1FERBoZZZPURYalNlekUkpKSvj000957rnnfvT5zp07c//999OpU6daGpmIiDRWyiapi9RoiIiIiIhIldMzGiIiIiIiUuXUaIiIiIiISJVToyEiIiIiIlVOjYaIiIiIiFQ5NRoiIiIiIlLl1GiIiIiIiEiVU6MhIiIiIiJVTo2GiIiIiIhUOTUaIiIiIiJS5dRoiIiIiIhIlVOjISIiIiIiVU6NhoiIiIiIVDk1GiIiIiIiUuXUaIiIiIiISJVToyEiIiIiIlVOjYaIiIiIiFQ5NRoiIiIiIlLl1GiIiIiIiEiVU6MhIiIiIiJVTo2GiIiIiIhUuf8PyuCIW4JyHG8AAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# delving deeper into invariant layer:\n", + "mlp = nn.Sequential(\n", + " VNLinear(1, 2),\n", + " VNReLU(2),\n", + " Rearrange('... d e -> ... e d')\n", + ")\n", + "\n", + "# z_other_emb.shape = [num_rays, latent_dim, 1, 2] B, N, C, 2\n", + "mlp_out = mlp(z_other_emb) # [num_rays, latent_dim, 3, 2] # coordinate system T in R^3x2 B\n", + "\n", + "out = einsum('b n d i, b n i o -> b n o', z_other_emb, mlp_out) # [num_rays, latent_dim, 2] # read z in T?\n", + "\n", + "mlp_out_expand = torch.cat((mlp_out, torch.zeros_like(mlp_out[..., :1])), -1) \n", + "out_expand = torch.cat((out, torch.zeros_like(out[..., :1])), -1) # [num_rays, latent_dim, 3]\n", + "\n", + "# plot mlp_out_expand and out_expand side by side\n", + "\n", + "mlp_out_img = get_3d_vector_plot(mlp_out_expand[0, :, 0, :].detach(), 10, axis_size=1)\n", + "out_img = get_3d_vector_plot(out_expand[0].detach(), 10, axis_size=1)\n", + "\n", + "fig = plt.figure(figsize=(10, 5))\n", + "ax1 = fig.add_subplot(121)\n", + "ax1.imshow(mlp_out_img)\n", + "ax1.axis('off')\n", + "ax1.set_title(\"MLP Output\")\n", + "\n", + "ax2 = fig.add_subplot(122)\n", + "ax2.imshow(out_img)\n", + "ax2.axis('off')\n", + "ax2.set_title(\"Invariant Output\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Get invariant component of Z along the axis of invariance\n", + "z_invar = Z[:, :, axis_of_invariance].unsqueeze(-1) # [num_rays, latent_dim, 1]\n", + "\n", + "# set x and y to zero\n", + "z_invar_expand = torch.cat((torch.zeros_like(z_invar), torch.zeros_like(z_invar), z_invar), -1) # [num_rays, latent_dim, 3]\n", + "\n", + "z_invar_rot = Z_rot[:, :, axis_of_invariance].unsqueeze(-1) # [num_rays, latent_dim, 1]\n", + "z_invar_rot_expand = torch.cat((torch.zeros_like(z_invar_rot), torch.zeros_like(z_invar_rot), z_invar_rot), -1) # [num_rays, latent_dim, 3]\n", + "\n", + "# plot z_invar and z_invar_rot side by side\n", + "z_img = get_3d_vector_plot(z_invar_expand[0], 10)\n", + "z_rot_img = get_3d_vector_plot(z_invar_rot_expand[0], 10)\n", + "\n", + "fig = plt.figure(figsize=(10, 5))\n", + "ax1 = fig.add_subplot(121)\n", + "ax1.imshow(z_img)\n", + "ax1.axis('off')\n", + "ax1.set_title(\"Invariant Components (Unrotated)\")\n", + "\n", + "ax2 = fig.add_subplot(122)\n", + "ax2.imshow(z_rot_img)\n", + "ax2.axis('off')\n", + "ax2.set_title(\"Invariant Components (Rotated)\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Innerproduct between projection of Z and D on the plane orthogonal to the axis of invariance.\n", + "# This encodes the rotational information. This is rotation-equivariant to rotations of either Z\n", + "# or D and is invariant to rotations of both Z and D.\n", + "# z_other.shape = [num_rays, latent_dim, 2]\n", + "# d_other.shape = [num_rays, latent_dim, 2]\n", + "# z_rot_other.shape = [num_rays, latent_dim, 2]\n", + "innerprod = (z_other * d_other).sum(dim=-1) # [num_rays, latent_dim]\n", + "\n", + "innerprod_rot = (z_rot_other * d_other).sum(dim=-1) # [num_rays, latent_dim]\n", + "\n", + "# Plotting\n", + "fig, axes = plt.subplots(1, 3, figsize=(10, 3))\n", + "\n", + "# Heatmap of innerprod\n", + "axes[0].imshow(innerprod, cmap='viridis', aspect='auto')\n", + "axes[0].set_title('Inner Product (Original)')\n", + "axes[0].set_xlabel('Latent Dimension')\n", + "axes[0].set_ylabel('Ray Number')\n", + "\n", + "# Heatmap of innerprod_rot\n", + "axes[1].imshow(innerprod_rot, cmap='viridis', aspect='auto')\n", + "axes[1].set_title('Inner Product (Rotated)')\n", + "axes[1].set_xlabel('Latent Dimension')\n", + "axes[1].set_ylabel('Ray Number')\n", + "\n", + "# Line plot for a specific ray\n", + "ray_index = 0 # Example ray index\n", + "axes[2].plot(innerprod[ray_index, :], label='Original')\n", + "axes[2].plot(innerprod_rot[ray_index, :], label='Rotated')\n", + "axes[2].set_title(f'Inner Product Across Latent Dimensions for Ray {ray_index}')\n", + "axes[2].set_xlabel('Latent Dimension')\n", + "axes[2].set_ylabel('Inner Product Value')\n", + "axes[2].legend()\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Compute norm along the axes orthogonal to the axis of invariance\n", + "d_other_norm = torch.sqrt(D[::, other_axes[0]] ** 2 + D[:, other_axes[1]] ** 2).unsqueeze(\n", + " -1\n", + ") # [num_rays, 1]\n", + "\n", + "# Plotting\n", + "plt.figure(figsize=(4, 4))\n", + "plt.hist(d_other_norm, bins=30, color='blue', alpha=0.7)\n", + "plt.title('Distribution of Norms')\n", + "plt.xlabel('Norm Value')\n", + "plt.ylabel('Frequency')\n", + "plt.grid(True)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Get invariant component of D along the axis of invariance\n", + "d_invar = D[:, axis_of_invariance].unsqueeze(-1) # [num_rays, 1]\n", + "\n", + "d_invar_expand = torch.cat((torch.zeros_like(d_invar), torch.zeros_like(d_invar), d_invar), -1) # [num_rays, 3]\n", + "\n", + "# Plotting\n", + "d_img = get_3d_vector_plot(d_invar_expand, 1)\n", + "fig = plt.figure(figsize=(5, 5))\n", + "ax1 = fig.add_subplot(111)\n", + "ax1.imshow(d_img)\n", + "ax1.axis('off')\n", + "ax1.set_title(\"Invariant Components of Direction\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "directional_input = torch.cat((innerprod, d_invar, d_other_norm), 1) # [num_rays, latent_dim + 2]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "conditioning_input = torch.cat((z_other_invar, z_invar), dim=-1).flatten(1) # [num_rays, latent_dim * 3]" + ] + } + ], + "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": "2.7.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/publication/figures/mirror.pdf b/publication/figures/mirror.pdf index 63ce73d..22ff9fc 100644 Binary files a/publication/figures/mirror.pdf and b/publication/figures/mirror.pdf differ diff --git a/publication/figures/mirror.png b/publication/figures/mirror.png index 5369b89..0302c36 100644 Binary files a/publication/figures/mirror.png and b/publication/figures/mirror.png differ diff --git a/publication/figures_and_tables.ipynb b/publication/figures_and_tables.ipynb index 812b550..d28067b 100644 --- a/publication/figures_and_tables.ipynb +++ b/publication/figures_and_tables.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -29,7 +29,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -1412,159 +1412,9 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
Setting up training dataset...\n",
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\n" - ], - "text/plain": [ - "Setting up training dataset\u001b[33m...\u001b[0m\n" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
Caching all 3346 images.\n",
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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import torch\n", "import torch.nn as nn\n", @@ -1726,6 +1576,24 @@ "x_negated_img = linear_to_sRGB(pred_img, use_quantile=True) # [H, W, 3]\n", "\n", "negate = torch.eye(3, dtype=torch.float32).type_as(Z)\n", + "negate[1, 1] = -1\n", + "\n", + "Z = model.field.train_mu[image_idx]\n", + "\n", + "Z = torch.matmul(Z, negate)\n", + "\n", + "Z = Z.unsqueeze(0).repeat(ray_samples.shape[0], 1, 1)\n", + "\n", + "field_outputs = model.field.forward(ray_samples=ray_samples, latent_codes=Z)\n", + "\n", + "pred_img = model.field.unnormalise(field_outputs[RENIFieldHeadNames.RGB])\n", + "\n", + "pred_img = pred_img.view(H, W, 3)\n", + "\n", + "y_negated_img = linear_to_sRGB(pred_img, use_quantile=True) # [H, W, 3]\n", + "\n", + "\n", + "negate = torch.eye(3, dtype=torch.float32).type_as(Z)\n", "negate[2, 2] = -1\n", "\n", "Z = model.field.train_mu[image_idx]\n", @@ -1744,20 +1612,51 @@ "\n", "model.field.config.view_train_latents = False\n", "\n", - "# plot all three images side by side\n", - "fig, axs = plt.subplots(1, 3, figsize=(15, 5))\n", - "axs[0].imshow(normal_img.cpu().detach())\n", - "axs[0].axis('off')\n", - "axs[0].set_aspect(1)\n", + "# plot normal_img center top and the three others in a row below\n", + "normal_img = normal_img.cpu().detach().numpy()\n", + "x_negated_img = x_negated_img.cpu().detach().numpy()\n", + "y_negated_img = y_negated_img.cpu().detach().numpy()\n", + "z_negated_img = z_negated_img.cpu().detach().numpy()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Create a figure and a set of subplots\n", + "fig, axs = plt.subplots(2, 3, figsize=(12, 5))\n", + "\n", + "# Hide the empty subplots\n", + "axs[0, 0].axis('off')\n", + "axs[0, 2].axis('off')\n", + "\n", + "# Plot the images\n", + "axs[0, 1].imshow(normal_img)\n", + "axs[0, 1].axis('off')\n", + "\n", + "axs[1, 0].imshow(x_negated_img)\n", + "axs[1, 0].axis('off')\n", "\n", - "axs[1].imshow(x_negated_img.cpu().detach())\n", - "axs[1].axis('off')\n", - "axs[1].set_aspect(1)\n", + "axs[1, 1].imshow(z_negated_img)\n", + "axs[1, 1].axis('off')\n", "\n", - "axs[2].imshow(z_negated_img.cpu().detach())\n", - "axs[2].axis('off')\n", - "axs[2].set_aspect(1)\n", + "axs[1, 2].imshow(y_negated_img)\n", + "axs[1, 2].axis('off')\n", "\n", + "# Display the plot\n", "plt.tight_layout()\n", "\n", "plt.savefig('/workspace/neusky/ns_reni/publication/figures/mirror.png')\n",