{ "cells": [ { "cell_type": "markdown", "id": "5fbc2d16-59f9-4be3-b93e-1a5440c7efd0", "metadata": {}, "source": [ "# Tutorial 2 - Layer Types" ] }, { "cell_type": "markdown", "id": "1afe6a1e-3ab4-4f3f-ad47-f6cd66419504", "metadata": {}, "source": [ "In this tutorial we will be re-using the code introduced in the first tutorial and explore different KAN layer types." ] }, { "cell_type": "code", "execution_count": 1, "id": "0a2ef2a6-f681-427f-8252-ade2111ce0e6", "metadata": {}, "outputs": [], "source": [ "from jaxkan.models.KAN import KAN\n", "\n", "import jax\n", "import jax.numpy as jnp\n", "\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.metrics import mean_squared_error\n", "\n", "from flax import nnx\n", "import optax\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import os\n", "os.environ[\"TF_CPP_MIN_LOG_LEVEL\"] = \"2\"" ] }, { "cell_type": "code", "execution_count": null, "id": "cf5b274c-0e17-4416-b07e-959596e7d7da", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "60e70a5d-0340-4bdc-af4e-150d0098a87e", "metadata": {}, "source": [ "## Experiment Setup" ] }, { "cell_type": "markdown", "id": "166ad90d-430e-45ca-86a8-e6e4dbc1c943", "metadata": {}, "source": [ "Working with the exact same setup as in the previous tutorial, we define all necessary functions here." ] }, { "cell_type": "code", "execution_count": 2, "id": "b986e75a-6d4a-402f-bea7-36d13f4a7866", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set size: (800, 2)\n", "Test set size: (200, 2)\n" ] } ], "source": [ "def f(x,y):\n", " return x**2 + 2*jnp.exp(y)\n", "\n", "def generate_data(minval=-1, maxval=1, num_samples=1000, seed=42):\n", " key = jax.random.PRNGKey(seed)\n", " x_key, y_key = jax.random.split(key)\n", "\n", " x1 = jax.random.uniform(x_key, shape=(num_samples,), minval=minval, maxval=maxval)\n", " x2 = jax.random.uniform(y_key, shape=(num_samples,), minval=minval, maxval=maxval)\n", "\n", " y = f(x1, x2).reshape(-1, 1)\n", " X = jnp.stack([x1, x2], axis=1)\n", " \n", " return X, y\n", "\n", "seed = 42\n", "\n", "X, y = generate_data(minval=-1, maxval=1, num_samples=1000, seed=seed)\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=seed)\n", "\n", "print(\"Training set size:\", X_train.shape)\n", "print(\"Test set size:\", X_test.shape)\n", "\n", "# Define the static parameters\n", "n_in = X_train.shape[1]\n", "n_out = y_train.shape[1]\n", "n_hidden = 6\n", "\n", "layer_dims = [n_in, n_hidden, n_hidden, n_out]" ] }, { "cell_type": "markdown", "id": "db8bf4bc-49fe-4014-94aa-4e5dbf632369", "metadata": {}, "source": [ "We will define a function that incorporates all the aspects seen in the previous tutorial: model definition, training and evaluation. The input of the function will be `layer_type` and `required_parameters`, so that we can focus on these aspects in the present tutorial." ] }, { "cell_type": "code", "execution_count": 3, "id": "b350b56f-5daa-411f-9090-b544760c34ef", "metadata": {}, "outputs": [], "source": [ "def run_experiment(layer_type, required_parameters):\n", "\n", " # Initialize a KAN model, depending on the inputs of the experiment\n", " model = KAN(layer_dims = layer_dims,\n", " layer_type = layer_type,\n", " required_parameters = required_parameters,\n", " seed = 42\n", " )\n", "\n", " # Define Optimizer\n", " opt_type = optax.adam(learning_rate=0.001)\n", " optimizer = nnx.Optimizer(model, opt_type, wrt=nnx.Param)\n", "\n", " # Define train loop\n", " @nnx.jit\n", " def train_step(model, optimizer, X_train, y_train):\n", " \n", " def loss_fn(model):\n", " residual = model(X_train) - y_train\n", " loss = jnp.mean((residual)**2)\n", " \n", " return loss\n", " \n", " loss, grads = nnx.value_and_grad(loss_fn)(model)\n", " optimizer.update(model, grads)\n", " \n", " return loss\n", "\n", " # Do training\n", " num_epochs = 2000\n", " train_losses = jnp.zeros((num_epochs,))\n", " \n", " for epoch in range(num_epochs):\n", " # Calculate the loss\n", " loss = train_step(model, optimizer, X_train, y_train)\n", " \n", " # Append the loss\n", " train_losses = train_losses.at[epoch].set(loss)\n", "\n", " # Get MSE on test set\n", " y_pred = model(X_test)\n", " mse = mean_squared_error(y_test, y_pred)\n", "\n", " print(f\"The MSE of the fit is {mse:.5f}\\n\\n\")\n", "\n", " # Plot Losses\n", " plt.figure(figsize=(7, 4))\n", "\n", " plt.plot(np.array(train_losses), label='Train Loss', marker='o', color='#25599c', markersize=1)\n", " \n", " plt.xlabel('Epochs')\n", " plt.ylabel('Loss')\n", " plt.title('Training Loss Over Epochs')\n", " plt.yscale('log')\n", " \n", " plt.legend()\n", " plt.grid(True, which='both', linestyle='--', linewidth=0.5) \n", " \n", " plt.show()\n", "\n", " return" ] }, { "cell_type": "code", "execution_count": null, "id": "40cb5aa7-36eb-49c8-8d49-59ed25362a3e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "f681d135-c885-4e59-87d7-1ea16a157c50", "metadata": {}, "source": [ "## Experiments" ] }, { "cell_type": "markdown", "id": "6df40b13-962e-424f-9dd6-92214d3c3ced", "metadata": {}, "source": [ "We will then run this function with different layer types to showcase how they can be defined. Note that the results obtained in these experiments are not indicative of which layer \"performs better\"; we have defined a certain architecture, with specific optimization settings, with the goal of fitting a specific function. Results will definitely vary in other setups." ] }, { "cell_type": "markdown", "id": "95797a40-bbbd-4b68-8a41-b7d4f74dea56", "metadata": {}, "source": [ "### Base Layer" ] }, { "cell_type": "markdown", "id": "83766364-a5b2-4458-acb0-cfa22dffc86d", "metadata": {}, "source": [ "The `base` layer corresponds to the original KAN implementation, as presented in [KAN: Kolmogorov–Arnold Networks](https://openreview.net/forum?id=Ozo7qJ5vZi). The parameters that can be input via the `required_parameters` argument are:\n", "\n", "- `k`: The order of the spline basis functions.\n", "- `G`: The number of intervals for each spline grid.\n", "- `grid_range`: An initial range for the grids' ends.\n", "- `grid_e`: Parameter within the [0.0, 1.0] range that defines if the layer grids are uniform or sample-dependent.\n", "- `residual`: Function that is applied on samples to calculate residual activation.\n", "- `external_weights`: Boolean that controls if additional trainable weights should be applied to the splines.\n", "- `init_scheme`: Dictionary that defines how the trainable parameters of each layer are initialized.\n", "- `add_bias`: Boolean that controls wether bias terms are also included during the forward pass or not.\n", "\n", "More information and example usage for these can be found in the API Reference." ] }, { "cell_type": "code", "execution_count": 4, "id": "b7ae30b9-82f7-480c-a443-c991d5f52742", "metadata": {}, "outputs": [], "source": [ "layer_type = \"base\"\n", "\n", "required_parameters = {'k': 3, 'G': 5,\n", " 'grid_range': (-1,1), 'grid_e': 1.0,\n", " 'residual': None, 'external_weights': False,\n", " 'init_scheme': {\"type\" : \"default\"},\n", " 'add_bias': True}" ] }, { "cell_type": "code", "execution_count": 5, "id": "effd88b1-7efd-4b32-89ed-1490bec466ca", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The MSE of the fit is 0.00029\n", "\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_experiment(layer_type, required_parameters)" ] }, { "cell_type": "code", "execution_count": null, "id": "4c52024a-31c6-4469-88e6-ce275d358b9b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "813d0ceb-d6ec-4556-9b44-e39f55077de1", "metadata": {}, "source": [ "### Spline Layer" ] }, { "cell_type": "markdown", "id": "f86678fe-2e11-4c1d-81db-b0df96678c9a", "metadata": {}, "source": [ "The `spline` layer corresponds to the efficiently-implemented KAN, as introduced in [An Efficient Implementation of Kolmogorov-Arnold Network](https://github.com/Blealtan/efficient-kan). The parameters that can be input via the `required_parameters` argument are the same as in the `base` case." ] }, { "cell_type": "code", "execution_count": 6, "id": "723901b6-c82c-4671-8a7a-dc26e95e9d87", "metadata": {}, "outputs": [], "source": [ "layer_type = \"spline\"\n", "\n", "required_parameters = {'k': 3, 'G': 5,\n", " 'grid_range': (-1,1), 'grid_e': 1.0,\n", " 'residual': None, 'external_weights': False,\n", " 'init_scheme': {\"type\" : \"default\"},\n", " 'add_bias': True}" ] }, { "cell_type": "code", "execution_count": 7, "id": "3d7b08ed-7f1e-4e8d-8fb7-47768d0d9ded", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The MSE of the fit is 0.00029\n", "\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_experiment(layer_type, required_parameters)" ] }, { "cell_type": "code", "execution_count": null, "id": "a716daa9-4c47-4d42-94fe-178c2a8c83db", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e5244a48-276d-41b1-818c-a10381a02a1c", "metadata": {}, "source": [ "### Chebyshev Layer" ] }, { "cell_type": "markdown", "id": "dc8fe6e5-9374-4d94-a964-de24f38eccf0", "metadata": {}, "source": [ "The `chebyshev` layer utilizes Chebyshev polynomials of the first type as basis functions. The parameters that can be input via the `required_parameters` argument are:\n", "\n", "- `D`: Degree of Chebyshev polynomials to be used.\n", "- `flavor`: One of \"default\", \"modified\", or \"exact\" - controls how the basis functions are applied (more information about this can be found in the API Reference).\n", "- `residual`: Same as in `base`.\n", "- `external_weights`: Same as in `base`.\n", "- `init_scheme`: Same as in `base`.\n", "- `add_bias`: Same as in `base`." ] }, { "cell_type": "code", "execution_count": 8, "id": "6d70bfe1-78df-4209-963f-7ba78ee1655c", "metadata": {}, "outputs": [], "source": [ "layer_type = \"chebyshev\"\n", "\n", "required_parameters = {'D': 5, 'flavor': 'exact',\n", " 'residual': None, 'external_weights': False,\n", " 'init_scheme': {\"type\" : \"default\"},\n", " 'add_bias': True}" ] }, { "cell_type": "code", "execution_count": 9, "id": "786fc287-7d7e-43ab-abca-368038d1561f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The MSE of the fit is 0.00563\n", "\n", "\n" ] }, { "data": { "image/png": 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LDg7WfH19teTkZG3x4sVaXV3dKT93/fXXa4CWmZl5ym0++ugj7ZxzztECAgK0gIAAbfTo0drtt9+u7d69W9+mu/OkK7orI3Li+WMtI/LOO+9oDzzwgBYVFaX5+flpl19+eacyIJp2+r6wsn37dm3WrFlaaGio5uvrq40aNUp76KGHOrXv5PIgK1as0ACtoKBA07SO8+vKK6/UYmNjNR8fHy02NlabO3eutmfPnh4fC0FwFUya5kL/gguCIJzEzJkz2bFjR6e8KsH1WLt2LRdeeCEffPABV199tdHNEYR+jeTACYLgMjQ2Ntos7927ly+++IILLrjAmAYJgiC4KJIDJwiCyzBs2DDmz5/PsGHDOHjwIC+99BI+Pj789re/NbppgiAILoUEcIIguAyXXnop77zzDsXFxZjNZqZMmcKTTz7ZqTCsIAiC6kgOnCAIgiAIgpshOXCCIAiCIAhuhgRwgiAIgiAIbobkwHVDe3s7RUVFBAUFYTKZjG6OIAiCIAj9HE3TqK2tJTY2Fg+PU99nkwCuG4qKioiLizO6GYIgCIIgKMbhw4cZPHjwKd+XAK4bgoKCgI6DGBwc7LDvyc7OZuLEiQ7bv6uioreKziDeqqGit4rOIN6OoKamhri4OD0GORUSwHWD9bFpcHCwQwO4gIAAh+7fVVHRW0VnEG/VUNFbRWcQb0dyutQtKSPSDTU1NYSEhFBdXe3QjtI0TckcOxW9VXQG8VYNFb1VdAbxdgQ9jT1kFKoLkJeXZ3QTDEFFbxWdQbxVQ0VvFZ1BvI1EAjgXoKWlxegmGIKK3io6g3irhoreKjqDeBuJ5MC5AKGhoUY3wRBU9FbRGcRbNVT0drSzpmm0tbVhsVgc+j1nSnBwME1NTUY3w+n0xdvT0xMvL68+P4KVAM4F6G6YcH9GRW8VnUG8VUNFb0c6t7S0cOzYMRoaGhz2Hb2lvb2dgoICo5vhdPrq7e/vz8CBA/Hx8en1PiSAcwG2b99ORkaG0c1wOip6q+gM4q0aKno7ytkaKHh6ehIbG4uPj49LDRqor68nICDA6GY4nd56a5pGS0sLZWVlFBQUMGLEiG6L9XaHBHCCIAiC4KK0tLTQ3t5OXFwc/v7+RjenE21tbfj6+hrdDKfTF28/Pz+8vb05ePAgLS0tvd6PDGJwAYYNG2Z0EwxBRW8VnUG8VUNFb0c79/YujaMxm81GN8EQ+uptj/50zTNCMVRMAAU1vVV0BvFWDRW9VXSGjkeCKuIK3hLAGcz+o1Ws+GKb0c0whKKiIqOb4HRUdAbxVg0VvVV0Btcop2EEruCtRAA3a9YswsLCuPrqq41uig3HqxuZ/puPeOs/x7jlmX8b3RxBEARBcFni4+NZunSp0c1wGZQI4O68807eeOMNo5vRiQEhfvrr/+Qd5p01+Qa2xvmkp6cb3QSno6IziLdqqOitojPQ5UhMk8nU7c+jjz7aq+/atGkTCxcu7FN7L7jgAu66664+7QO69nY2SgRwF1xwAUFBQUY3o0syxsTor596K8vAljifHTt2GN0Ep6OiM4i3aqjoraIzQGNjY6d1x44d03+WLl1KcHCwzbp7771X39ZaoLgnREZGusxI3K68nY3LB3DfffcdM2bMIDY2FpPJxKpVqzpts2zZMuLj4/H19SUjI4ONGzc6v6G95PXfXaa/bmqxKHUXTsWkXxWdQbxVQ0VvZzlrmkZDU6shP10l7re3t3daFxMTo/+EhIRgMpn05V27dhEUFMSXX35Jeno6ZrOZ77//nv3793PllVcSHR1NYGAgkyZNYs2aNTb7PfkRqslk4pVXXmHWrFn4+/szYsQIPv300z4d348++ojk5GTMZjPx8fH8+c9/tnn/xRdfZMSIEYSHhxMdHW2TmvXhhx8yduxY/Pz8GDBgAJmZmdTX1/epPd3h8nXg6uvrGTduHDfddBOzZ8/u9P57773H3Xffzcsvv0xGRgZLly7lkksuYffu3URFRRnQ4jPDw8OEl4eJtvaOX4wl72UzNzPJ4FY5h+DgYKOb4HRUdAbxVg0VvZ3l3NjcxvibjEkJylt+I/6+3jbrPD09e7Wv+++/nz/96U8MGzaMsLAwDh8+zGWXXcYTTzyB2WzmjTfeYMaMGezevZshQ4accj+LFy/mmWee4dlnn+X555/n+uuv5+DBg4SHh59xm3Jycrjmmmt49NFHmTNnDuvWreO2225jwIABzJ8/n+zsbH7961/z5ptvkpaWRkNDA//973+BjruOc+fO5ZlnnmHWrFnU1tby3//+16GjVV0+gJs+fTrTp08/5ftLlizhlltuYcGCBQC8/PLLfP755yxfvpz777//jL6rubmZ5uZmfbmmpqZ3jT5D7rx6PH9+fzMAdY2tTvlOVyA+Pt7oJjgdFZ1BvFVDRW8VnaH39dAee+wxLrroIn05PDyccePG6cuPP/44K1eu5NNPP2XRokWn3M/8+fOZO3cuAE8++STPPfccGzdu5NJLLz3jNi1ZsoRp06bx0EMPATBy5Eh27tzJs88+y/z58zl06BABAQFcccUVBAQE4OHhwYQJE4COAK6trY3Zs2czdOhQAMaOHXvGbTgTXD6A646WlhZycnJ44IEH9HUeHh5kZmayfv36M97fU089xeLFizutz87OJiAggLS0NPLz82lsbCQoKIiEhAS2bt0KwNChQ2lvb+fw4cMAjB8/nn379lFXV0dAQAAjR45k8+aOIG3w4MF4enpy8OBBAMZG/Tg5saVd467nvmFuRkeCZGxsLL6+vhw4cACAlJQUjhw5QlVVFT4+PowfP15/ZBwTE0NgYCD79u0DICkpiZKSEioqKvDy8iI9PZ2NGzeiaRqRkZGEhYWxZ88eAEaNGkVFRQVlZWV4eHgwadIksrOzsVgsDBgwgKioKPLzOx7vjhgxgpqaGkpKSgDIyMggNzeX1tZWwsLCiI2N1fNBEhMTaWho4NixYwBMnDiR7du309TURG1tLVOnTmXbto4yKvHx8bS1tXHkyBEA0tLS2LVrFw0NDQQGBpKYmMiWLVsA9P/IDh06BMC4cePYv38/dXV1+Pv7M3r0aHJzc/Xj7eXlRWFhYcfxHjuWQ4cOUV1dja+vLykpKWRnZwMwcOBA/P392b9/PwDJyckUFRVRWVmJt7c3aWlpZGV15CpGR0cTHBzM3r179eNdWlrK8ePH8fT0ZOLEiWzatIn29nYiIyMJDw9nw4YNhIWFMXLkSCorKykrK8NkMjF58mRycnJoa2vTb81bj/fw4cOpq6ujuLgYgMmTJ5OXl0dLSwuhoaEMHjyY7du3Ax3FRJuamvSSBunp6ezYsYOmpiaCg4OJj4+3OWctFot+vCdMmMCePXuor68nMDCQ4cOHk5eXB0BcXBweHh76OZuamkpBQQG1tbX4+fmRlJSkH+9Bgwbh4+OjzxM4duxY1q9fT2BgIGazmdTUVDZt2qSfswEBAfrxHjNmDMXFxVRUVHQ63lFRUYSEhOjHe/To0ZSXl1NeXq6fs9bjHRERQUREBLt27dLP2erqakpLSzuds+Hh4cTExLBz5079nK2vr9eP96RJk9i6dSvNzc2EhoYSFxenn7MJCQm0tLRw9OhR/Zw98RpRVVWl36HoyzUiNTWVwsJCampq8PX1JTk5mZycHMA1rxEtLS3ExcX1+RoREhLCkCFD3OIaceDAAaKiovp8jdi9ezeAzTXCGiTV19fT3t7Ohpfm4O3lpT+2NfuasVjaaWvtuAHg7+9PU1MT7e3teHp56duu/P4Ab63ezbxLx/DTKUM7bevh6YnZx0fP7/Ix+6BpGq0tHfs1e3vQ2NiIxWLB09MTs9lMbW0tnp6e+hRf1psg/v7+NDc3621sb2+noaFB3/e4ceOoq6sDOmYmqKys5LHHHuPf//43xcXFtLW10djYSEFBAa2trTQ3N6NpGu3t7TQ1Nel5c6mpqfp+vL29CQ4O5tChQ9TV1eHr60tbWxttbW2YTCYCAgKwWCy0trbS1NSE1wnH0NfXl507d3LZZZdRV1dHYGAg9fX1pKWlsXTpUlpaWpgyZQpxcXEMGzaMadOmcdFFFzFjxgwiIyMZMWIEF1xwAWPHjuXiiy/m/PPPZ+bMmcTExOjTZ514vBsbG/V2WM9Z6zXCet06LZobAWgrV67Ul48ePaoB2rp162y2+81vfqNNnjxZX542bZoWERGh+fn5aYMGDeq0vZWmpiaturpa/zl8+LAGaNXV1Q7xsbJhwwbtpqe+1EbMfUX/UYENGzYY3QSno6Kzpom3aqjo7SjnxsZGbefOnVpjY6ND9t9Xamtru31/xYoVWkhIiL787bffaoBWWVlps90vf/lLbdiwYdrHH3+sbd26Vdu7d682btw47c4779S3GTp0qPaXv/xFXz45JtA0TQsJCdFWrFhxyvacf/75Nvs8kQkTJmiPPvqozbpVq1Zp3t7eWltbm6Zpmtba2qqtXr1au/POO7Vhw4Zpw4cP113a29u177//Xnv44Ye1sWPHapGRkdqBAwe6/K7u+rW6urpHsYfLD2KwB2vWrKGsrIyGhgaOHDnClClTutzObDYTHBxs8+MMhg4dyqv3297uVWEwg/U2s0qo6AzirRoqeqvoDPabSuuHH35g/vz5zJo1i7FjxxITE6PfEXUWSUlJ/PDDD53aNXLkSP1OupeXF5mZmTz77LNs3bqVwsJCvvnmG6BjUMXZZ5/N4sWL2bx5Mz4+PqxcudJh7XXrR6gRERF4enrqt+mtlJSUEBMTc4pPuR4WS8cj1PHDI8nbVwZ0lBTp74MZrN4qoaIziLdqqOitojPYb0qpESNG8PHHHzNjxgxMJhMPPfRQlyNc7UFZWZmeHmJl4MCB3HPPPUyaNInHH3+cOXPmsH79el544QVefPFFAD777DMOHDjAeeedR0BAAGvWrKG9vZ1Ro0aRlZXF119/zcUXX0xUVBRZWVmUlZWRlOS4v+NuHcD5+PiQnp7O119/zcyZM4GO5+xff/11t0mPp2PZsmUsW7ZM/4V0dA6cxWKhpqaGOy+NZMELHQFcU4uFJ//+JTdcmuJy+S32zIELCwtzi/wWe+XAbdu2jSNHjiiXA7dr1y6OHDmiZA6c9fiqlgPX2tqqXA5cSUmJw3PgNE3Dy8sLb29vPZ/M19dXz+2CjiKzjY2NtLe3d9rWbDbb5GSduK01r62hoaHLba15bSfmwDU2NtLS0nLGOXCtra02OXBPPfUUCxcuZOrUqURERHDXXXdRWVmpe50qBw6wyYGDjpIu3eXAvf3227z99tucyOLFi7nvvvt44403+MMf/sDjjz9OTEwMDz74INdeey0WiwUfHx8++OADHn30UZqamkhMTGTFihWMGTOGzZs38+2337J06VJqamqIi4vjySefJDMzk5aWFofkwJk0e4XPDqKurk6/2EyYMIElS5Zw4YUXEh4ezpAhQ3jvvfeYN28ef/3rX5k8eTJLly7l/fffZ9euXURHR/fpu2tqaggJCaG6utqhj1OzsrLIyMgAYMwNy2mzdHSJr48nW1+b77DvNZoTvVVBRWcQb9VQ0dtRzk1NTRQUFJCQkICvr6/d999XrAn/qtFX7+76taexh8sHcGvXruXCCy/stH7evHm89tprALzwwgs8++yzFBcXM378eJ577jm7/CI5K4Cz/vcC8Orn2/jjP34sRLz4pqn99lHqid6qoKIziLdqqOjtKGdXD+Da29vx8FAind6GvnrbI4Bz+aN+wQUXoGlapx9r8AawaNEiDh48SHNzs1v+52d9RAFw8+Vj8fQw6ctL3ssxoklO4URvVVDRGcRbNVT0VtEZsKmdqhKu4O3WOXCOwogcuPz8fD2/5baZ43j+4zwA6hpbKCsrc6n8FnvmwA0bNswt8lvslQN35MgR6uvrlcuBKykpob6+XrkcuJqaGr39quXAFRYWKpUDd+TIEVpaWpTLgWtpadHzw7rKgbNYLHh4eODr66vv9+Rt/fz8aG1tpa2tDQ8PD/z8/PQpqLy9vfHw8OhyW2te24k5cJ6enja13U7OgTvxGJ5cB+7EY2itA9fV8TabzbS2tuoxwpkcb6Vy4IzEWY9Qd+zYQXJyss26kde9qr++Yuowlizq/BjZ3enKu7+jojOIt2qo6O0oZ1d/hNrY2Iifn5/RzXA6ffVW4hGqCgwfPrzTuqkpsfrrz9YdcGZznEZX3v0dFZ1BvFVDRW9HO7vqvRZ71YFzN/rqbY/+lADOBTi5Hg3AigdsC/ve/cK3TmqN8+jKu7+jojOIt2qo6O0oZ2tpDOvjR1fDVdvlaPrqbf28tX97g+TAdYHROXDW/JYRA/3Ze6yjkz9fd4A5k/xdIr/FnjlwDQ0NbpHfYq8cuMrKSrKyspTLgaurqyMrK0u5HDiLxSI5cKiRA1dZWUlubq5DcuCsox2bm5sxm82d8rfMZjPt7e16/taJ85uevK2Pz//Pb9rVvKn/P6epPhfqSdv6+fnpOW8nbtvc3Iy3tzcmk0nP9TpxWw8PD71mHNBp2xNz1U7Ol+tuW5PJhL+//ynz5cxmMxaLxWbbhoYGPa/N09PTZtsTj2FAQIDNticfw+bmZpt8v54eb19fX6qrqykrK9N/V06OIyQHzg44KweuqKiI2NjYTuvbLO2MuWGFvtzfSoqcyrs/o6IziLdqqOjtSGdN0yguLqaqqsoh++8L1mBONfrqHRoaSkxMDCaTqdN7PY095A6cC3CqWjJenh74+njS1NJxJ7C/Ta+lYu0gFZ1BvFVDRW9HOptMJgYOHEhUVJR+J8dVKCsrIzIy0uhmOJ2+eFtHy/YVCeBcgIMHD55y7ta750zkyTc7bsdbA7n+Qnfe/RUVnUG8VUNFb2c4e3p6utzdrqKiIuLi4oxuhtNxBW/1/k1yM+ZPT7FZ7o+DGQRBEARBODMkB64bnJUDd7p6Mrf+eTVf53Qk4pqA3W/f7LC2OBMV6wep6AzirRoqeqvoDOLtCCQHrg84exSqr68vPj4+pxxh9tiN4/km5xAaoAFL/7GWKcP93H4UaktLC+np6W4zwsweo1Czs7MJCgpSbhRqTk4OPj4+yo1CbWtr00feqTQK1cvLiwEDBig1CvXQoUOEh4c7ZBSqK18jfvjhB4KCgvp8jTh8+DBVVVVuc43Yu3evnvfYl2tEV3GEjEK1A866A9eT+VvTbn6DusaO5FWztwfbXl/gsPY4C3ect7avqOgM4q0aKnqr6Azi7QhkJgY3oie3YX8zd5L+urm1nXfW5DuySU5BxdvuKjqDeKuGit4qOoN4G4ncgesGZ92Ba21t7VE15pQbV9DS1g6Ar48nW1+b77A2OYOeevcnVHQG8VYNFb1VdAbxdgRyB86NsOYFnI7f3XCW/rqpxeL2d+F66t2fUNEZxFs1VPRW0RnE20gkgHMjrrsoCW+vH7vsqbeyDGyNIAiCIAhGIaNQu8DZo1AjIyO7nAsVOo8wu+vqcTz7bsd+mlosaJrmtqNQTSaTcnOhNjY2KjkXqslkUnIu1MjISCXnQg0JCVFuLtTGxkaHzYXqytcI6zVNtVGoZrNZ/14ZheqCOCsHrrS0lKioqB5vP+aG5bRZOrrt8inD+MsdFzqqaQ7lTL37Ayo6g3irhoreKjqDeDsCyYFzI6z/hfSU/7lmov768/UH7N0cp3Gm3v0BFZ1BvFVDRW8VnUG8jUQCODfklhmpNssyvZYgCIIgqIUEcC7A2LFjz/gzF4z/cRLdz9a551243ni7Oyo6g3irhoreKjqDeBuJBHAugDWp+Uz4228vtll2x7twvfF2d1R0BvFWDRW9VXQG8TYSCeBcgKqqql597qzkgfprd8yF6623O6OiM4i3aqjoraIziLeRSADnApjN5l597vXfTddfaxpuV9i3t97ujIrOIN6qoaK3is4g3kYideC6wNl14FJSUnpcB+7kGk/+Zi8amtsAePKNDVw8Icpt6sAFBwcrVweuqalJyTpwvr6+StaBGzlypJJ14BITE5WrA9fU1KRkHTjrNU21OnChoaFSB86VcVYduKysLDIyMnr12bf+vZPHXluvLy++aSpzM5Ps1TSH0hdvd0VFZxBv1VDRW0VnEG9HIHXgFOHnF4/By/PHblzyXraBrREEQRAEwRlIAOcCxMTE9Onz98xJ11/XN7b2tTlOo6/e7oiKziDeqqGit4rOIN5GIgGcCxAQENCnz998xY+FfdvaNbcpKdJXb3dERWcQb9VQ0VtFZxBvI5EAzgWwJmf2hbPHDtJfu0tJEXt4uxsqOoN4q4aK3io6g3gbiQRw/YTl91+iv3bHkiKCIAiCIPQcCeBcgDFjxvR5HyaTCT/zj1Vhnnorq8/7dDT28HY3VHQG8VYNFb1VdAbxNhIJ4FwAa+2evnL3nIn666YWi1326Ujs5e1OqOgM4q0aKnqr6AzibSQSwLkAFRUVdtnPvEuT8fQw6cuuPpjBXt7uhIrOIN6qoaK3is4g3kYiMzF0gbNnYjCZTL2eieHkKusLLh3FK190VHH+bN0Bbr1ksMvOxNDQ0KDcTAxVVVVKzsTQ0NCg5EwMHh4eSs7E0N7ertxMDFVVVUrOxGC9pqk2E0Nzc7PMxODKOGsmBnsz8rpX9dfuNDODIAiCIKiOzMTgRlijeHsxaXS0/tqVBzPY29sdUNEZxFs1VPRW0RnE20gkgOuHvPH7y/TXTS0WKSkiCIIgCP0MCeBcgKioKLvuz9PDwy3mR7W3tzugojOIt2qo6K2iM4i3kUgA5wKEhITYfZ/uMD+qI7xdHRWdQbxVQ0VvFZ1BvI1EAjgXwDpixp64w/yojvB2dVR0BvFWDRW9VXQG8TYSCeD6Meem/jg/6mfr3GN+VEEQBEEQTo8EcC7A6NGjHbLfV++/1GbZ1QYzOMrblVHRGcRbNVT0VtEZxNtIJIBzAcrLyx227/HDI/XXrlZSxJHeroqKziDeqqGit4rOIN5GIgGcC+DIE+Gthy7XX7taSRFX+AVwNio6g3irhoreKjqDeBuJBHAugIeH47rBx9sTL88f50d1pbtwjvR2VVR0BvFWDRW9VXQG8TYSmUqrG9x1Kq2TeeWzrTzz9iZ9WabXEgRBEATXRKbSciOsk/Y6il9ckYqnx4934Za8l+PQ7+spjvZ2RVR0BvFWDRW9VXQG8TYSL6Mb4IosW7aMZcuWYbFYAMjOziYgIIC0tDTy8/NpbGwkKCiIhIQEtm7dCsDQoUNpb2/n8OHDAIwfP559+/ZRV1dHQEAAI0eOZPPmzQAMHjwYT09PDh48CIDFYiE/P5+amhp8fX1JTk4mJ6cjyIqNjcXX15cDBzrKgKSkpHDkyBGqqqrw8fFh/PjxbNy4EYCYmBgCAwPZt28fAElJSZSUlFBRUcHMjCg+Wl8CQG1DMwcOHCAsLIw9e/YAMGrUKCoqKigrK8PDw4NJkyaRnZ2NxWJhwIABREVFkZ/fkT83YsQIampqKCnp2F9GRga5ubm0trYSFhZGbGwsO3bsACAxMZGGhgaOHTsGwMSJE9m+fTtNTU3U1tbS0NDAtm3bAIiPj6etrY0jR44AkJaWxq5du2hoaCAwMJDExES2bNkCwJAhQwA4dOgQAOPGjWP//v3U1dXh7+/P6NGjyc3N1Y+3l5cXhYWFAIwdO5ZDhw5RXV2Nr68vKSkpZGd3zFYxcOBA/P392b9/PwDJyckUFRVRWVmJt7c3aWlp+hx40dHRBAcH6/WAkpKSKC0t5fjx43h6ejJx4kQ2bdpEe3s7kZGRhIeHc/z4cbKyshg5ciSVlZWUlZVhMpmYPHkyOTk5tLW1ER4eTnR0tH68hw8fTl1dHcXFxQBMnjyZvLw8WlpaCA0NZfDgwWzfvh2AYcOG0dTURFFREQDp6ens2LGDpqYmgoODiY+PtzlnLRaLfrwnTJjAnj17qK+vJzAwkOHDh5OXlwdAXFwcHh4e+jmbmppKQUEBtbW1+Pn5kZSUpB/vQYMG4ePjQ0FBgX68a2pqyMrKwmw2k5qaql/8YmJiCAgI0I/3mDFjKC4upqKiotPxjoqKIiQkRD/eo0ePpry8nPLycv2ctR7viIgIIiIi2LVrl37OVldXU1pa2umcDQ8PJyYmhp07d+rnbH19vX68J02axNatW2lubiY0NJS4uDj9nE1ISKClpYWjR4/q5+yJ14jW1la9/X25RqSmplJYWOjQa4SXlxfp6els3LgRTdOIjIzs9TWipaWFwsLCPl8jQkJCGDJkiFtcI44fP05ubm6frxG7d+8GcJtrhPWa1tdrxOHDh6mqqnKba0RdXZ3+vX25RnQVR1jbdDrkEWo3OOsR6v79+0lMTHTY/q2MvO5V/fUVU4exZNGFDv/O7nCWtyuhojOIt2qo6K2iM4i3I5BHqG5ERESEU75nSvJA/bUrFPZ1lrcroaIziLdqqOitojOIt5FIAOcC9PR2aV957XfTbZaNLiniLG9XQkVnEG/VUNFbRWcQbyORAE4hTCYT3l4/drkrlRQRBEEQBKHnSADnAowYMcJp3/XAzzP010YX9nWmt6ugojOIt2qo6K2iM4i3kUgA5wJUV1c77bt+fvEYm7twf34v22nffTLO9HYVVHQG8VYNFb1VdAbxNhIJ4FwA67BlZ3H/9ZP113WNrU797hNxtrcroKIziLdqqOitojOIt5FIAKcgN1ySrL9ub9e467lvDGyNIAiCIAhnitSB64b+MpVWV/z6f7/mq6xCfXnP2zcb1xhBEARBEACpA+dWWKtTO5Pn7pxms/w/zzv/LpwR3kajojOIt2qo6K2iM4i3kUgA5wK0thqTh3bJ5Hj99efrC5z+/UZ5G4mKziDeqqGit4rOIN5GIgGcCxAeHm7I9z5/l+1dOGfnwhnlbSQqOoN4q4aK3io6g3gbiQRwLkBMTIxh331pRrz++osNBU6tC2ekt1Go6AzirRoqeqvoDOJtJBLAuQA7d+407LtPzoVz5uwMRnobhYrOIN6qoaK3is4g3kYiAZzApRkJ+mujZ2cQBEEQBOH0SADnAiQmJhr6/c/d+RO8PZ0/R6rR3kagojOIt2qo6K2iM4i3kUgA5wLU19cb3QTu//mPszM46y6cK3g7GxWdQbxVQ0VvFZ1BvI2k3wdwn332GaNGjWLEiBG88sorRjenS4qLi41uAjdckmwzR+pTbzr+LpwreDsbFZ1BvFVDRW8VnUG8jaRfB3BtbW3cfffdfPPNN2zevJlnn32W48ePG90sl+WBn2for5taLdz9wrcGtkYQBEEQhFPRr6fSWrduHc8++ywrV64E4K677iIjI4O5c+f26PPOmkqrvb0dDw/XiKVTblxBS1u7vuzIKbZcydtZqOgM4q0aKnqr6Azi7Qj6xVRa3333HTNmzCA2NhaTycSqVas6bbNs2TLi4+Px9fUlIyODjRs36u8VFRUxaNAgfXnQoEEcPXrUGU0/I7Zu3Wp0E3R+d8NZNsuOvAvnSt7OQkVnEG/VUNFbRWcQbyNx6QCuvr6ecePGsWzZsi7ff++997j77rt55JFHyM3NZdy4cVxyySWUlpY6uaV9o7m52egm6Fx3URLnjRusL3+27oDDvsuVvJ2Fis4g3qqhoreKziDeRuLSAdz06dP5wx/+wKxZs7p8f8mSJdxyyy0sWLCAMWPG8PLLL+Pv78/y5csBiI2NtbnjdvToUWJjY0/5fc3NzdTU1Nj8OIPQ0FCnfE9PeeW+S2yWZz/4iUO+x9W8nYGKziDeqqGit4rOIN5G4mV0A3pLS0sLOTk5PPDAA/o6Dw8PMjMzWb9+PQCTJ09m+/btHD16lJCQEL788kseeuihU+7zqaeeYvHixZ3WZ2dnExAQQFpaGvn5+TQ2NhIUFERCQoJ+G3Xo0KG0t7dz+PBhAMaPH8++ffuoq6sjICCAkSNHsnnzZgAGDx6Mp6cnBw8eBGDEiBHk5+dTU1ODr68vycnJ5OTkAB1BqK+vLwcOdNwJS0lJ4ciRI1RVVeHj48P48eP1x8YxMTEEBgayb98+AJKSkigpKaGiogIvLy/S09PZuHEjmqYRGRlJWFgYe/bsAWDUqFFUVFRQVlbWcRwnDmFN9iEAtheUs/yzzSRHtujtrampoaSkBICMjAxyc3NpbW0lLCyM2NhYduzYAXTUymloaODYsWMATJw4ke3bt9PU1IS/vz8NDQ1s27YNgPj4eNra2jhy5AgAaWlp7Nq1i4aGBgIDA0lMTGTLli0ADBkyBIBDhzraOG7cOPbv309dXR3+/v6MHj2a3Nxc/Xh7eXlRWFgIwNixYzl06BDV1dX4+vqSkpJCdnY2AAMHDsTf35/9+/cDkJycTFFREZWVlXh7e5OWlkZWVscI3ejoaIKDg9m7d69+vEtLSzl+/Dienp5MnDiRTZs20d7eTmRkJOHh4ZSXl1NVVcXIkSOprKykrKwMk8nE5MmTycnJoa2tjfDwcKKjo8nP7yjlMnz4cOrq6vRRT5MnTyYvL4+WlhZCQ0MZPHgw27dvB2DYsGE0NTVRVFQEQHp6Ojt27KCpqYng4GDi4+NtzlmLxaIf7wkTJrBnzx7q6+sJDAxk+PDh5OXlARAXF4eHh4d+zqamplJQUEBtbS1+fn4kJSXpx3vQoEH4+PhQUFCgH++WlhaysrIwm82kpqayadMm/ZwNCAjQj/eYMWMoLi6moqKi0/GOiooiJCREP96jR4+mvLyc8vJyPDw8mDRpkn68IyIiiIiIYNeuXfo5W11drd+dP/GcDQ8PJyYmRq+snpiYSH19vX68J02axNatW2lubiY0NJS4uDj9nE1ISKClpUX/R/Hka0RMTIze/r5cI1JTUyksLHSpa8SkSZPIzs7GYrEwYMAAoqKi9HM2Li6OwsLCPl8jQkJCGDJkiFtcI8rLy6mvr+/zNWL37t0AbnONsF7T+nqNOHz4MFVVVW5zjfDw8NC/ty/XiK7iCGubTofbDGIwmUysXLmSmTNnAj/mt61bt44pU6bo2/32t7/lP//5j35gP/30U+69917a29v57W9/y8KFC0/5Hc3NzTa3RWtqaoiLi3P4IIasrCwyMjJOv6GTGX39ctr///Tw9fZk6+vz7bp/V/V2JCo6g3irhoreKjqDeDuCfjGIwR789Kc/Zc+ePezbt6/b4A3AbDYTHBxs86MyD86TsiKCIAiC4Iq47SPUiIgIPD099Vv0VkpKSoiJienTvpctW8ayZcuwWCyA4x+hxsbGutwj1EmTJpEU3oiXp4k2S8dduM/WHWDOJH+7PUL18vJS7hFqc3MzWVlZbvN4xF6PUL28vJR8hDpo0CAlH6FGREQo9wi1ubmZ3Nxc5R6hWq9pqj1CDQgIkEeoPeXkR6jQcYAnT57M888/D3TUZRkyZAiLFi3i/vvv7/N3OqsO3JEjRxg8ePDpNzSAd9bk88jydfpySkIEHz9xpV327crejkJFZxBv1VDRW0VnEG9H0C8eodbV1ZGXl6ffBSgoKCAvL0//j+ruu+/m73//O6+//jr5+fnceuut1NfXs2DBAgNbfea4Ym06K3Mzk8hMH6Ivby8ot9s8qa7s7ShUdAbxVg0VvVV0BvE2EpcO4LKzs5kwYQITJkwAOgK2CRMm8PDDDwMwZ84c/vSnP/Hwww8zfvx48vLy+Oqrr4iOjjay2f2OF++5CA+TSV9+/LX1BrZGEARBEAS3eYTqTE7MgduzZw9ff/21Q3PgkpKSOHr0qEvnt6zdWcMz727Wj9GFqdHcdGEk0Pv8lsDAQBISEtwiv8VeOXD5+fl4eHi4TX6LvXLgCgsLqa2tdZv8FnvlwMXFxen7VSkHLiEhgYaGBqVy4I4fP47ZbFYuBy43NxcPDw/lcuBqamooKysDHJMDN23atNM+QpUArhuclQO3detWUlNTHbZ/e3HZbz5i39EqfXnxTVOZm5nU6/25i7c9UdEZxFs1VPRW0RnE2xH0ixw4VWhsbDS6CT3ii2evsll+/PW+PUp1F297oqIziLdqqOitojOIt5FIAOcCBAUFGd2EHnNpRoL+us2i9ak2nDt52wsVnUG8VUNFbxWdQbyNRAI4FyAhIeH0G7kIz935E+Jjfryl+9m6A70elepO3vZCRWcQb9VQ0VtFZxBvI3HbQr6OxNmFfC0WC2FhYW6ToPzu76dx1qKV+vF6/PX1jApvPOME5draWqZOneoWCcr2GsSwYcMGwsLC3CZB2V6DGNavX09gYKDbJCjbaxBDVVUVnp6e+vFWZRBDS0sLcXFxSg1iOHDgAFFRUcoNYvjPf/5DWFiYcoMYtm3bhr+/PyCFfF0SZw1icMe55O5Y+jX/2lioL/dmQIM7evcVFZ1BvFVDRW8VnUG8HYEMYnAjhg4danQTzpjn75qGp8ePteEe60VtOHf07isqOoN4q4aK3io6g3gbiQRwLkB7e7vRTegVD8+for+2tGvMfGBlN1t3xl29+4KKziDeqqGit4rOIN5GIgGcC2DNiXE35mYmMSZ+gL6882DFGY1KdVfvvqCiM4i3aqjoraIziLeRyCCGLjBiEEN+fr7bJCiPGDGCmpoaSkpKeODKgSx4oYI2S0cq5WfrDpCaEEZSRDNw+kEMDQ0NbpGgbK9BDJWVlWRlZblNgrK9BjHU1dWRlZXlNgnK9hrEYLFY9ParNoihsLBQqUEMlZWV5ObmKjeIwXpNU20QQ0NDg/69MojBBXHWIIbm5mbMZrPD9u9o3lmTzyPL1+nLXh4mdr5102k/5+7evUFFZxBv1VDRW0VnEG9HIIMY3Ajrf8PuytzMJC4764QCv+0asx5cddrPubt3b1DRGcRbNVT0VtEZxNtIJIBzAerq6oxuQp9Z+uufMCouTF/eUXD8tPlw/cH7TFHRGcRbNVT0VtEZxNtIJIBzAQICAoxugl345x9n25QWOd0sDf3F+0xQ0RnEWzVU9FbRGcTbSCQHrhuclQPX0tKCj4+Pw/bvTM4kH64/efcUFZ1BvFVDRW8VnUG8HYHkwLkR1pFn/YG5mUm2E963a8x+8JMut+1P3j1FRWcQb9VQ0VtFZxBvI5EyIl0gZUR6XkYEOpcIePLmyWzbW8TRio5SItsLyrnx0Q+5fXqclBGRMiJuUSJAyohIGREpIyJlRKSMiBvjrEeoR48eZdCgQQ7bv1Ek/Xw5lvYfT6+T50vtr97doaIziLdqqOitojOItyOQR6huhKenp9FNcAgnTrUF8PhJ86X2V+/uUNEZxFs1VPRW0RnE20gkgHMBrLec+xtzM5O4LOPU9eH6q3d3qOgM4q0aKnqr6AzibSQSwAkOZemdZ14fThAEQRCE7pEcuG5wVg5cY2Mjfn5+Dtu/K9BVPtzMs+P7vffJqNDXXSHeaqGit4rOIN6OQHLg3AjryKf+zMn5cI8sX8dLH20wqDXGoUJfd4V4q4WK3io6g3gbiZQR6QIpI9K3MiJdlQgYFlTDWSOC2bC3Rj/Of/vyAL+aneE2JQLsUUbk4MGD1NTUuE2JAHuVESkqKqKmpsZtSgTYq4xIVVWVlBFBjTIiBw8epLGxUbkyItZrmmplRIqLi6mp6fh7JmVEXBBnPULdsmUL48aNc9j+XYkrH1hJ/sEKfTk5YQArn5hpXIOcjEp9fSLirRYqeqvoDOLtCHoae0gA1w3OCuDa2trw8lLnZuhlv/2IfUeq9OUrpg5jyaILjWuQE1Gtr62It1qo6K2iM4i3I5AcODfC+ihEFb545qpOk96rMjJVtb62It5qoaK3is4g3kYiAZxgCCcPavhs3QHeWZNvUGsEQRAEwb2QAM4FiI2NNboJTmduZhIXjou2WXfyTA39ERX7GsRbNVT0VtEZxNtIJIBzAXx9fY1ugiH84aYMLp0cry+fPFNDf0TVvhZvtVDRW0VnEG8jkQDOBbAO/1eNAwcO8Nxd0/Dy/DEfbkfBcf7n+f6bD6dyX6uIeKuDis4g3kYiAZxgOA/Ns82H+3y95MMJgiAIQndIGZFucFYZkfr6egICAhy2f1flRO931uTzyPJ1Nu8vvmkqczOTjGiaw5C+VgvxVgcVnUG8HUFPYw/1irf0AGfPxBAQEICnp6fbVFnvzUwMXVVZb21tJS0tjW3btjEsCDInxLJmc5HeD4+/tp6U6DaXqLJur5kYcnJyCAwMdJsq6/aaiSEvLw8vLy+3qbJur5kY2tvbqa+v14+3KjMx+Pj4EBYWptRMDIcPHyYsLEy5mRg2bNhAYGCgcjMxWNsDMhODS+KsO3BZWVlkZGQ4bP+uSlfesx5cxY6C4/ry6CHhfPr0LGc3zWFIX6uFeKuDis4g3o7AoYV8Dx8+rEfkABs3buSuu+7ib3/7W292pzw+Pj5GN8EQuvJe+cRMkoaG68u7DlX0q5Gp0tdqId7qoKIziLeR9OoO3LnnnsvChQu54YYbKC4uZtSoUSQnJ7N3717uuOMOHn74YUe01ek46w6cpmmYTKbTb9jP6M57zA3LabP8eGpePmUYf7nD/afbkr5WC/FWBxWdQbwdgUPvwG3fvp3JkycD8P7775OSksK6dev4xz/+wWuvvdarBquMNT9FNbrz7mpkan+Ybkv6Wi3EWx1UdAbxNpJeBXCtra2YzWYA1qxZw09/+lOgI2HQmogqCH1hbmYSi2+aarNOptsSBEEQhA56FcAlJyfz8ssv89///pfVq1dz6aWXAlBUVMSAAQPs2kAViImJMboJhnA677mZSVwxdZjNukeWr3PrIE76Wi3EWx1UdAbxNpJeBXB//OMf+etf/8oFF1zA3LlzGTduHACffvqp/mhV6DmBgYFGN8EQeuK9ZNGFXHZWgs06d54zVfpaLcRbHVR0BvE2kl4FcBdccIFeW2X58uX6+oULF/Lyyy/brXGqYK3JpBo99V76658wJv7Hkalt7RozH1jpqGY5FOlrtRBvdVDRGcTbSHoVwDU2NtLc3ExYWBgABw8eZOnSpezevZuoqCi7NlAQAFY9OYvRQ8L05Z0H+1d5EUEQBEE4E3oVwF155ZW88cYbAFRVVZGRkcGf//xnZs6cyUsvvWTXBqpAUlL/mi6qp5yp96dPz3b7ie+lr9VCvNVBRWcQbyPpVQCXm5vLueeeC8CHH35IdHQ0Bw8e5I033uC5556zawNVwDrdjGr0xtvdy4tIX6uFeKuDis4g3kbSqwCuoaGBoKAgAP79738ze/ZsPDw8OOuss/R50ISeU1FRYXQTDKE33qcqL+IuQZz0tVqItzqo6AzibSS9CuCGDx/OqlWrOHz4MP/617+4+OKLASgtLXXojAX9FS8vL6ObYAi99e6qvIi71IiTvlYL8VYHFZ1BvI2kV1Npffjhh1x33XVYLBZ+8pOfsHr1agCeeuopvvvuO7788ku7N9SZLFu2jGXLlmGxWNizZw9ff/01AQEBpKWlkZ+fT2NjI0FBQSQkJLB161YAhg4dSnt7O4cPHwZg/Pjx7Nu3j7q6OgICAhg5ciSbN28GYPDgwXh6eup3K1NTUyksLKSmpgZfX1+Sk5PJyckBIDY2Fl9fXw4cOABASkoKR44coaqqCh8fH8aPH69XhI6JiSEwMFAfHZOUlERJSQkVFRV4eXmRnp7Oxo0b0TSNyMhIwsLC2LNnDwCjRo2ioqKCsrIyPDw8mDRpEtnZ2VgsFgYMGEBUVBT5+R0B0ogRI6ipqdFvIWdkZJCbm0traythYWHExsayY8cOABITE2loaNALPE+cOJHt27fT1NRESEgIQ4YMYdu2bQDEx8fT1tamz7OblpbGrl27aGhoIDAwkMTERLZs2QLAkCFDWPzmZr7Jsy0cPf/CWGacNZjRo0eTm5urH28vLy8KCwsBGDt2LIcOHaK6uhpfX19SUlLIzs4GYODAgfj7+7N//36go+ZhUVERlZWVeHt7k5aWRlZWFgDR0dEEBwezd+9e/XiXlpZy/PhxPD09mThxIps2baK9vZ3IyEjCw8PZvXs3ACNHjqSyspKysjJMJhOTJ08mJyeHtrY2wsPDiY6O1o/38OHDqauro7i4GIDJkyeTl5dHS0sLoaGhDB48mO3btwMwbNgwmpqaKCoqAiA9PZ0dO3bQ1NREcHAw8fHxNuesxWLRj/eECRPYs2cP9fX1BAYGMnz4cPLy8gCIi4vDw8PD5pwtKCigtrYWPz8/kpKS9OM9aNAgfHx8KCgo0I/34cOHqaqqwmw2k5qayqZNm/RzNiAgQD/eY8aMobi4mIqKik7HOyoqipCQEP14jx49Wh8Nbz1nrcc7IiKCiIgIdu3apZ+z1dXVlJaWdjpnw8PDiYmJYefOnfo5W19frx/vSZMmsXXrVpqbmwkNDSUuLk4/ZxMSEmhpaeHo0aP6OSvXCNe5RgAcOnQIgHHjxrF//37q6urw9/eXa4RcI1z2GrFr1y6mTZt22qm0ehXAARQXF3Ps2DHGjRuHh0fHjbyNGzcSHBzM6NGje7NLl8NZc6Fu3LhRyfp59vC+67lv+GJDgb7s5WFi51s39bVpDkP6Wi3EWx1UdAbxdgQOnQsVOqLiCRMmUFRUpEfnkydP7jfBmzPpZQzt9tjDu6sacecteqfP+3UU0tdqId7qoKIziLeR9CqAa29v57HHHiMkJIShQ4cydOhQQkNDefzxx2lvb7d3G/s9kZGRRjfBEOzlverJWYw6oUZccUUD59/xrl32bW+kr9VCvNVBRWcQbyPpVQD34IMP8sILL/D000+zefNmNm/ezJNPPsnzzz/PQw89ZO829nusBZFVw57e/3x6NpGhfvryseP13PXcN3bbv72QvlYL8VYHFZ1BvI2kVwHc66+/ziuvvMKtt95Kamoqqamp3Hbbbfz973/ntddes3MT+z/WJGHVsLf3Dy9eh8ePdX75YkOByxX6lb5WC/FWBxWdQbyNpFcBXEVFRZe5bqNHj3aJ2iiCujyywLZG3OfrD7hcECcIgiAIfaVXAdy4ceN44YUXOq1/4YUXSE1N7XOjVGPUqFFGN8EQHOHdVY24z9e7To046Wu1EG91UNEZxNtIelWJ7plnnuHyyy9nzZo1TJnSMbXR+vXrOXz4MF988YVdG6gCFRUVhIaGGt0Mp+Mo7yWLLgQ6ivtaeWT5OqAjwDMS6Wu1EG91UNEZxNtIenUH7vzzz2fPnj3MmjWLqqoqqqqqmD17Njt27ODNN9+0dxv7PWVlZUY3wRAc6b1k0YWd7sQ9snyd4XfipK/VQrzVQUVnEG8j6fVcELGxsTzxxBM267Zs2cKrr77K3/72tz43TCWshZBVw9HeSxZdSOGxGrYXlOvrjL4TJ32tFuKtDio6g3gbSa9nYuiKLVu2kJaWhsVisdcuDcVZMzEIjmX2g5/YBHEAi2+aavjjVEEQBEE4GYfPxCDYD+sce6rhLO+Pn7iS5IQBNuuMepwqfa0W4q0OKjqDeBuJBHAuQH+5Y3mmONN75RMzGRNvG8Q9/tp6p32/FelrtRBvdVDRGcTbSM4oB2727Nndvl9VVdWXtijLgAEDTr9RP8TZ3quenMnM361kZ2FHrcK2do2zb3ubH168zmltkL5WC/FWBxWdQbyN5IzuwIWEhHT7M3ToUG688UZHtbXfEhUVZXQTDMEI71VPzmJMfLi+XFbVyOjrX3Xa41Tpa7UQb3VQ0RnE20jO6A7cihUrHNUOpcnPzycjI8PoZjgdo7xXPTmL8xa9Q3FFAwDtmvNGp0pfq4V4q4OKziDeRiI5cIKSfPfCXGLC/W3WuUKdOEEQBEHoCRLAuQAjRowwugmGYLT3dy/MtXmcCo4P4ox2NgrxVgsVvVV0BvE2EiUCuFmzZhEWFsbVV19tdFO6pKamxugmGIIreJ+cEweODeJcwdkIxFstVPRW0RnE20iUCODuvPNO3njjDaObcUpKSkqMboIhuIr3qYK4u1/41u7f5SrOzka81UJFbxWdQbyNRIkA7oILLiAoKMjoZgguzKonZ3Uq9vvZugMOCeIEQRAEoa8YHsB99913zJgxg9jYWEwmE6tWreq0zbJly4iPj8fX15eMjAw2btzo/IY6EKNHshiFq3mvfGKmw4M4V3N2FuKtFip6q+gM4m0khgdw9fX1jBs3jmXLlnX5/nvvvcfdd9/NI488Qm5uLuPGjeOSSy6htLRU32b8+PGkpKR0+ikqKjqjtjQ3N1NTU2Pz4wxyc3Od8j2uhit6r3xiJpdPGWaz7rN1B/if5+0TxLmiszMQb7VQ0VtFZxBvIzmjOnCOYPr06UyfPv2U7y9ZsoRbbrmFBQsWAPDyyy/z+eefs3z5cu6//34A8vLy7NKWp556isWLF3dan52dTUBAAGlpaeTn59PY2EhQUBAJCQls3boVgKFDh9Le3s7hw4eBjqBy37591NXVERAQwMiRI9m8eTMAgwcPxtPTk4MHDwIdU3Lk5+dTU1ODr68vycnJ5OTkABAbG4uvry8HDhwAICUlhSNHjlBVVYWPjw/jx4/X70jGxMQQGBjIvn37AEhKSqKkpISKigq8vLxIT09n48aNaJpGZGQkYWFh7NmzB4BRo0ZRUVFBWVkZHh4eTJo0iezsbCwWCwMGDCAqKor8/I7E/hEjRlBTU6PnAGRkZJCbm0traythYWHExsayY8cOABITE2loaODYsWMATJw4ke3bt9PU1ERtbS0NDQ1s27YNgPj4eNra2jhy5AgAaWlp7Nq1i4aGBgIDA0lMTGTLli0ADBkyBIBDhw4BMG7cOPbv309dXR3+/v6MHj1a/wUbPHgwXl5eFBYWAjB27FgOHTpEdXU1vr6+pKSk6PPaDRw4kAfnjuX48XI27PkxgP98/QGOV1TwxiNXkZWVBUB0dDTBwcHs3btXP96lpaUcP34cT09PJk6cyKZNm2hvbycyMpLw8HBKS0vJyspi5MiRVFZWUlZWhslkYvLkyeTk5NDW1kZ4eDjR0dH68R4+fDh1dXUUFxcDMHnyZPLy8mhpaSE0NJTBgwezfft2AIYNG0ZTU5P+z0t6ejo7duygqamJ4OBg4uPjbc5Zi8WiH+8JEyawZ88e6uvrCQwMZPjw4frvVlxcHB4eHvo5m5qaSkFBAbW1tfj5+ZGUlKQf70GDBuHj40NBQYF+vCsrK8nKysJsNpOamsqmTZv0czYgIID9+/cDMGbMGIqLi6moqMDb25u0tDT9eEdFRRESEqIf79GjR1NeXk55ebl+zlqPd0REBBEREezatUs/Z6urq/V//E48Z8PDw4mJiWHnzp36OVtfX68f70mTJrF161aam5sJDQ0lLi5OP2cTEhJoaWnh6NGj+jl74jWiqalJb39frhGpqakUFha6zTWipaWFwsLCPl8jQkJCGDJkiMtdI/z9/fVzNjk5maKiIkpLS8nNzbU5Z3tzjdi9ezeA21wjrNe0vl4jDh8+TFVVldtcI6qrq/Xv7cs1oqs4wtqm02HSNE3r0ZZOwGQysXLlSmbOnAl0XAT8/f358MMP9XUA8+bNo6qqik8++aTH+167di0vvPACH3744Sm3aW5uprm5WV+uqakhLi6O6upqgoODz9inp+zZs4eRI0c6bP+uiqt7X/X7T9h2oNxmXdLQcD55alav9+nqzo5CvNVCRW8VnUG8HUFNTQ0hISGnjT0Mf4TaHeXl5VgsFqKjo23WR0dH6/9p9ITMzEx+9rOf8cUXXzB48GDWr+96EnOz2UxwcLDNjzOIjY11yve4Gq7u/dEfruSKqbaPU/MPVnDO7e/0ep+u7uwoxFstVPRW0RnE20hcOoCzF2vWrKGsrIyGhgaOHDnClClTjG6SDdZHCarhDt5LFl3YKYgrrWzo9fyp7uDsCMRbLVT0VtEZxNtIDM+B646IiAg8PT071VspKSkhJibGYd+7bNkyli1bhsViASQHTrUcuJPzW3518SAizE28vrYIa8KBdf7U+voGxsa06cf7dPkt1lwwd8lvsVcOXF1dnZI5cBaLRXLgUCMHrrKyUskcOOs1TbUcuIaGBsmBO5GTc+Cg4yBOnjyZ559/HoD29naGDBnCokWL9EEMjqKnz6H7Snl5OREREQ7bv6vijt7nLXqH4ooGm3WXnZXA0l//pEefd0dneyDeaqGit4rOIN6OwG1y4Orq6sjLy9P/0y8oKCAvL0//r+nuu+/m73//O6+//jr5+fnceuut1NfX66NS+wMNDQ2n36gf4o7e370wl5QE21/aLzYUMOP+j3v0eXd0tgfirRYqeqvoDOJtJIYHcNnZ2UyYMIEJEyYAHQHbhAkTePjhhwGYM2cOf/rTn3j44YcZP348eXl5fPXVV50GNrgz1kcHquGu3h8/cSVjh9kGcbsPVfYoL85dnfuKeKuFit4qOoN4G4lLPUJ1FU7MgduzZw9ff/21w3PgwsLC3Ca/xZ45cFOnTnWb/JaT8y2Wf1vGt1s7z4d31shgfn1FQpf5LRs2bCAsLMxt8lvslQO3fv16AgMD3Sa/xV45cFVVVXh6eurHW6UcuLi4OKVy4A4cOEBUVJRyOXDffvstYWFhyuXAbdu2DX9/f8AxOXDTpk077SNUCeC6wVk5cBaLRb/Iq0R/8H5nTT6LV6yj/aTfojHx4ax6snO9uP7g3BvEWy1U9FbRGcTbEbhNDpyA/p+RavQH77mZSez6x82d8uJ2FlZ0+Ui1Pzj3BvFWCxW9VXQG8TYSCeBcgKamJqObYAj9yfvjJzoX/bWWGjlxHtX+5HwmiLdaqOitojOIt5FIAOcChISEGN0EQ+hv3ksWXcjim6biYbJd//n6A5y7qGP2hv7m3FPEWy1U9FbRGcTbSCQHrgucPYhhxIgRlJSUuE2Csr0GMfj7++vJoODaCcpdDWLoLkH54Xf3U1DSaHNemUxww3nRXDQ+0m0SlO01iGH//v00NDS4TYKyvQYxxMTE6O1VaRBDXFwcLS0tSg1iKCsrw8/PT7lBDNnZ2Xh5eSk3iKGyspKKigpABjG4JM4axJCVlUVGRobD9u+q9Hfvu1/4ls/WHei0/tKMBJ67s2eFf/sL/b2vT4V4q4OKziDejkAGMQiCwSxZdCF73r6ZmPAAm/VfZRUw9dZ/GNQqQRAEoT8gAZwLEB8fb3QTDEEV7+9euJbYCNsgrry6iZHXvcqd//uNQa1yLqr09cmItzqo6AzibSQSwLkAbW1tRjfBEFTyXvvctZ1GqQJ8mVXQoxkc3B2V+vpExFsdVHQG8TYSyYHrApmJQWZi6OsghlMlKG/YsIHFK0s4Xtv5l39IhC9PXD/cpRKUZSYGmYlBZmKQmRhkJgaZicHtkEEMjkVFb6vzqQY4AFx2VgJLf92/Bjmo2Ncg3iqhojOItyPoaewhAVw3OCuAa21txdvb22H7d1VU9D7Z+arff8K2A+WdtosI8WXdS9c7s2kORcW+BvFWCRWdQbwdgYxCdSOst3BVQ0Xvk50/+sOVXRb/tQ5yuPKBlU5sneNQsa9BvFVCRWcQbyORAM4FaGhoMLoJhqCid1fO1vlUuxrkkH+wgpHXvcpdz7n3aFUV+xrEWyVUdAbxNhIJ4FyAwMBAo5tgCCp6d+dsrRt3cskRgC82dIxWfXu1e45WVbGvQbxVQkVnEG8jkRy4LnD2KNRRo0Zx7NgxtxlhZq9RqAEBAQwbNswtRpjZaxTqzp078fT0PO0Is//uruOP7+TS1W+nhwluyozj/DEhbjMK9cCBA9TX17vNCDN7jUKNjY3VRxWqNAp1yJAhNDc3KzUKtby8HF9fX+VGoebk5ODp6ancKNTq6mrKyzvyl2UUqgsio1Adi4reZ+rc3WjV6DB//rtsrr2a5lBU7GsQb5VQ0RnE2xHIIAZB6AdYH6uOHRbR6b2SygZGXvcqP73/YwNaJgiCIBiJBHAugPVWv2qo6N1b54/+cOUpA7ldhyoZed2rzLjPdQM5FfsaxFslVHQG8TYSCeAEwY04VdkRgN2HXT+QEwRBEOyDBHAugDXJVjVU9LaHs7XsSEcg1zmSc8VATsW+BvFWCRWdQbyNRAI4QXBTOgK5m04byF3hQoGcIAiCYB9kFGo3OGsUalNTE76+vg7bv6uiorcjnd9Zk8/iFetpP8WvdGSoHz+8eJ1Dvvt0qNjXIN4qoaIziLcjkLlQ+4Cz68D5+vri4+PjNjWe7FUHrrm5mYkTJ7pFjSd71YHbtGkTwcHBDq3x9MHavfzvqvwua8gBmIB5Fw7kphlpTqsDl5OTg4+Pj9vUeLJXHbjW1laampoAterAeXp6EhERoVQduIMHDzJgwADl6sB99913BAcHK1cHbu/evXh4dDzElDpwLojUgXMsKno70/l0d+QALstIYOmdP3F4W1TsaxBvlVDRGcTbEUgdODfC39/f6CYYgoreznS25sidanougC+yChh53avc+ufVDm2Lin0N4q0SKjqDeBuJ3IHrBmfdgWttbcXb29th+3dVVPQ22vmq33/CtgPlp3w/PMjM9y9eh5enff+3M9rbKMRbHVR0BvF2BHIHzo2w5gWohoreRjtbCwJfMXVYl+9X1DYz5oYVjLzuVX71J/vdlTPa2yjEWx1UdAbxNhIJ4ARBQaxTdJ0qkAP4JvcQI697lYxfvkWbpd2JrRMEQRBOhwRwLsDgwYONboIhqOjtas7WQK67PLlKm7ty/+7V97iat7MQb3VQ0RnE20gkgHMBvLy8jG6CIajo7crOa5+7tgd35Q7rd+Va23p+V86VvR2JeKuDis4g3kYiAZwLYK09pBoqeruDc0/vyiXfuKLHU3a5g7cjEG91UNEZxNtIjA8hBUFwWdY+dy0Ad7/wLZ+tO9DlNtYpuwAuzYjnuTunOa19giAIqiJlRLrA2TMxjBgxgpKSErepsm6vmRj8/f1JTEx0iyrr9pqJYceOHXh5eblNlfWuZmK4a/kujte2dfs7FBrgzV8WjMTL08TYsWPZv38/DQ0NblNl3V4zMcTExOjtVWkmhri4OFpaWpSaiaGsrAw/Pz/lZmLIzs7Gy8tLuZkYKisrqaioAGQmBpfEWXXgdu3axejRox22f1dFRe/+5NyTmR4AhsWG8Jebk0lKSnJSy1yH/tTfZ4KK3io6g3g7gp7GHvII1QWorq42ugmGoKJ3f3Kem5nE3MyOoKy7AsEHiqq58vF1wDqGDwrl82dmYzKZnNhS4+hP/X0mqOitojOIt5FIAOcC+Pr6Gt0EQ1DRu786f/SHK/XXF/z6XYrK67vcbt/RKkZdvxyAEYND+fyZq5zSPqPor/19OlT0VtEZxNtI5BFqNzjrEarFYsHT09Nh+3dVVPRWybmnj1gBRsSF8fkfZzuhVc5Fpf4+ERW9VXQG8XYEMpWWG2FNjlUNFb1Vcp6bmcSuf9zEnrdvZv6FsXh089h07/+PZB153atc/tuP6C//V6rU3yeioreKziDeRiKPUAVBcDjTUsP53S3TgdPfmdt75MfHrGePHcTy+y9RJmdOEAShp0gA5wIMHDjQ6CYYgoreKjqDrfeJgx9OF8z9sO2oHswlDAzmi2evwtPDfR4cSH+rg4rOIN5GIgGcC+Dv7290EwxBRW8VneHU3mcSzBUcqyHp5ysACA8ys/b5a/H1ce1LmPS3OqjoDOJtJO7zr2w/xlqgUDVU9FbRGXrmfWLOXHfzsQJU1DaTOv91Rl73KqOuf5VXPttqr6baFelvdVDRGcTbSFz731dBEJRkyaILWbLoQuD0d+Y0DZ55exPPvN1RuX3E4DA+++MsyZsTBKFfI2VEusFZZUTq6uoIDAx02P5dFRW9VXQG+3p3V2fuZMKDffnuhWvx8TKmzIH0tzqo6Azi7QikjIgbYZ2TTjVU9FbRGezrvfa5a9nz9s3seftmxg6L6HbbipomUm58TX/U+tKqPLu1oydIf6uDis4g3kYij1BdgMrKSqObYAgqeqvoDI7zPnEGiJ48av3L+zn85f2OSeCHRgfzyVMz8ff1dkjbQPpbJVR0BvE2EgngumDZsmUsW7YMi8UCdBTsCwgIIC0tjfz8fBobGwkKCiIhIYGtWzuSp4cOHUp7ezuHDx8GYPz48ezbt4+6ujoCAgIYOXIkmzdvBmDw4MF4enpy8OBBAEwmE/n5+dTU1ODr60tycjI5OR1/ZGJjY/H19eXAgQMApKSkcOTIEaqqqvDx8WH8+PFs3LgRgJiYGAIDA9m3bx8ASUlJlJSUUFFRgZeXF+np6WzcuBFN04iMjCQsLIw9e/YAMGrUKCoqKigrK8PDw4NJkyaRnZ2NxWJhwIABREVFkZ+fD8CIESOoqamhpKQEgIyMDHJzc2ltbSUsLIzY2Fh27NgBQGJiIg0NDRw7dgyAiRMnsn37dpqammhoaKChoYFt27YBEB8fT1tbG0eOHAEgLS2NXbt20dDQQGBgIImJiWzZsgWAIUOGAHDo0CEAxo0bx/79+6mrq8Pf35/Ro0eTm5urH28vLy8KCwsBGDt2LIcOHaK6uhpfX19SUlL0oowDBw7E399fT1BNTk6mqKiIyspKvL29SUtLIysrC4Do6GiCg4PZu3evfrxLS0s5fvw4np6eTJw4kU2bNtHe3k5kZCTh4eFUVVWRlZXFyJEjqayspKysDJPJxOTJk8nJyaGtrY3w8HCio6P14z18+HDq6uooLi4GYPLkyeTl5dHS0kJoaCiDBw9m+/btAAwbNoympib9v8P09HR27NhBU1MTwcHBxMfH25yzFotFP94TJkxgz5491NfXExgYyPDhw8nLywMgLi4ODw8P/ZxNTU2loKCA2tpa/Pz8SEpK0o/3oEGD8PHxoaCgQD/eDQ0NZGVlYTabSU1NZdOmTfo5GxAQoB/vMWPGUFxcTEVFRafjHRUVRUhIiH68R48eTXl5OeXl5Xh4eDA3cxLDQ+pob28nIiKCBUs2UlzZwKk4WFLD+JveAMAEzJgUwVVTohkxfDj19fX68Z40aRJbt26lubmZ0NBQ4uLi9HM2ISGBlpYWjh49qp+zJ14jPDw89Pb35RqRmppKYWGh21wj2tvbKSws7PM1IiQkhCFDhrjFNaKqqorc3Nw+XyN2794N4DbXCOs1ra/XiMOHD1NVVeXQa8SkSZP04x0REUFERAS7du0COv6uVVdXU1pa2umcDQ8PJyYmhp07d+rnbHNzs/69fblGdBVHWNt0OiQHrhuclQMnCIJjuer3n7DtQHmPtw8NNPP5M7OJDDW+VIAgCGohOXBuhDWKVw0VvVV0BuO9P/rDlXre3OKbpnY7rRdAVV0zZ9/2jj6918V3f0BzS9sZf6/R3kahoreKziDeRiKPUAVBUIoTiwdDz+7OFRbXMHb+6wCYTHDbzPH8+uo0KVUiCIJhSADnAkRHRxvdBENQ0VtFZ3Bt7xMHQsDpy5RoGixbmceylXkAhAWa+ecfZxMV1vlxqyt7OxIVvVV0BvE2EgngXABV8+tU9FbRGdzLe+1z1+qvTzeyFaCyrplzbn9HXw4LMvOvP/+M0ECzW3nbExW9VXQG8TYSyYFzAawjZlRDRW8VncF9vU+c3qsndecAKmubmbzwLUZe9ypnLVrJWb/8B3WNLU5orevgrv3dF1R0BvE2ErkDJwiC0EPO9HErQEVtE2k3v6kvJ8QE8+nTszD7yOVXEITeI2VEusFZZURqampc4nass1HRW0VnUMf7TKb5snLWmIH87bcX49uPAjpV+vtEVHQG8XbUvnsSe/SfK4YbU1paquQvgIreKjqDOt4n5s8BnH3rW5RVN3f7mQ07j5H6/yNcATLGDORvv7kYP7P7Xp5V6e8TUdEZxNtIJAfOBTh+/LjRTTAEFb1VdAZ1vZfMH3FG9ecAsnYeY9yC1/UadBf9zwfUNbhXDp2K/a2iM4i3kbjvv3j9CE9PT6ObYAgqeqvoDOINnevP3f3Ct3y27sBp93GwpIa0X/yYQxcWZObff/4ZIYFm+zbWjqjY3yo6g3gbieTAdYNMpSUIgrPoaUB3MiYT3DNnIgt/Os4BrRIEwdnIVFpuhHXSXtVQ0VtFZxDvnrBk0YX649YzeeSqafCnd7P1R66Tb3mLwmPVGPm/uYr9raIziLeRyCNUF6C9vd3oJhiCit4qOoN494aTH7lCz0a5VtU3c/E9H+rLJhMsnJHKnT9Lx8vTOf+zq9jfKjqDeBuJBHAuQGRkpNFNMAQVvVV0BvG2FyePcu1JQKdp8NdPt/LXT7fq6xJigln11CyHjXRVsb9VdAbxNhIJ4FyA8PBwo5tgCCp6q+gM4u0oehPQARQU1zBuwY+lS8KCzHz69CyiwwLs0i4V+1tFZxBvI5EcOBdg9+7dRjfBEFT0VtEZxNtZrH3uWps8up5M/QUd03+de/u7eh7dqOtfZen7OVh6+ZhIxf5W0RnE20jkDpwgCEI/5eSpv95Zk8/iFetpP80AB02DF1fl8eKqPH1dfEwwH/3hSoL8fRzRVEEQzpB+X0bk8OHD3HDDDZSWluLl5cVDDz3Ez372sx591lllRCorKwkLC3PY/l0VFb1VdAbxdmV6M/0XQGigmfcWzyA+JhjTSaNl3cHb3qjoDOLtCGQqrf/Hy8uLpUuXMn78eIqLi0lPT+eyyy4jIMA+uR72QH4B1EFFZxBvV+bkPLqrfv8J2w6Un/ZzVXXNXHLCaFeAKckDeemei9zC296o6AzibST9PoAbOHAgAwcOBCAmJoaIiAgqKipcKoArKytj2LBhRjfD6ajoraIziLc70dvHrgDrdxxj/E1v/P/St4QGmvnw8Z8SFxXU6S5df8Md+9oeiLdxGD6I4bvvvmPGjBnExsZiMplYtWpVp22WLVtGfHw8vr6+ZGRksHHjxl59V05ODhaLhbi4uD622r709wvbqVDRW0VnEG93Zm5mErv+cZPN4IjYiJ79A1xV10zm/3zAqOuX6wMk5j3xBY3NbQ5utfPpD33dG8TbwDYYnQP35Zdf8sMPP5Cens7s2bNZuXIlM2fO1N9/7733uPHGG3n55ZfJyMhg6dKlfPDBB+zevZuoqCgAxo8fT1tb5wvCv//9b2JjYwGoqKjg3HPP5e9//ztTp07tsi3Nzc00NzfryzU1NcTFxclUWoIgCN3Q22nAAMICzax8ciYDBwS4xB9FQTCanubAGR7AnYjJZOoUwGVkZDBp0iReeOEFoKP6cVxcHHfccQf3339/j/bb3NzMRRddxC233MINN9xwyu0effRRFi9e3Gn9119/TUBAAGlpaeTn59PY2EhQUBAJCQls3dpRHHPo0KG0t7dz+PBhoCOo3LdvH3V1dQQEBDBy5Eg2b94MwODBg/H09OTgwYP6dwQHB1NTU4Ovry/Jycnk5OQAEBsbi6+vLwcOdFwcU1JSOHLkCFVVVfj4+DB+/Hj9jmRMTAyBgYHs27cPgKSkJEpKSqioqMDLy4v09HQ2btyIpmlERkYSFhbGnj17ABg1ahQVFRWUlZXh4eHBpEmTyM7OxmKxMGDAAKKiosjPzwdgxIgR1NTUUFJSovdRbm4ura2thIWFERsby44dOwBITEykoaGBY8eOATBx4kS2b99OU1MT9fX1nHXWWWzbtg2A+Ph42traOHLkCABpaWns2rWLhoYGAgMDSUxMZMuWLQAMGTIEgEOHDgEwbtw49u/fT11dHf7+/owePZrc3Fz9eHt5eVFYWAjA2LFjOXToENXV1fj6+pKSkkJ2djbQ8cjd39+f/fv3A5CcnExRURGVlZV4e3uTlpZGVlYWANHR0QQHB7N37179eJeWlnL8+HE8PT2ZOHEimzZtor29ncjISMLDw8nKyiI0NJSRI0dSWVlJWVkZJpOJyZMnk5OTQ1tbG+Hh4URHR+vHe/jw4dTV1VFcXAzA5MmTycvLo6WlhdDQUAYPHsz27dsBGDZsGE1NTRQVFQGQnp7Ojh07aGpqIjg4mPj4eJtz1mKx6Md7woQJ7Nmzh/r6egIDAxk+fDh5eXkAxMXF4eHhoZ+zqampFBQUUFtbi5+fH0lJSfrxHjRoED4+PhQUFOjHOysrC39/f8xmM6mpqfo0NDExMQQEBOjHe8yYMRQXF1NRUdHpeEdFRRESEqIf79GjR1NeXk55ebl+zlqPd0REBBEREezatUs/Z6urqyktLe10zoaHhxMTE8POnTv1c7a+vl4/3pMmTWLr1q00NzcTGhpKXFycfs4mJCTQ0tLC0aNH9XP2xGtEXV2dPqVVX64RqampFBYWus01wmKx8Nu3DlBa9eM/xGdCypAgfn35YGIiwxkyZIhbXCMKCgqIjIzs8zXCWp7CXa4Ra9eu1X8v+nKNOHz4MFVVVW5zjdi5cydmsxno2zWiqzhi165dTJs2zb0DuJaWFvz9/fnwww9tgrp58+ZRVVXFJ598ctp9aprGddddx6hRo3j00Ue73daoO3BZWVlkZGQ4bP+uioreKjqDeKtGV959uUvn5+PFR3/4KcNiQ/HwcM27dNLXauFI734xCrW8vByLxUJ0dLTN+ujoaD1qPh0//PAD7733HqmpqXp+3ZtvvsnYsWM7bWs2m/WI2pm4QkVnI1DRW0VnEG/V6Mp7yaILWbLoQpt1PS1h0tjSxmW//dhmXXxMMB889lNCAp1/ze4K6Wu1cAVvlw7g7ME555zjEpPOdsfJAaoqqOitojOIt2r01PvkEiZncpeusLiGSQvfsll3buogXr73Yry9nD8+T/paLVzB26UDuIiICDw9PfVcKyslJSXExMQ47HuXLVvGsmXLsFgsAGRnZzs0B85isRAWFuY2+S32yoGrra1l6tSpbpHfYq8cuA0bNhAWFuY2+S32yoHbtGkTgYGBbpPfYq8cuKqqKjw9PfXjrUoOXEtLC3FxcWd8jZgzyZ9nb52vXyNCQkJY+MJmiisa6An/3XqU5BtX6Msh/t48MieBiCBvxo8f79BrxIEDB4iKilIuB27dunWEhYUplwO3bds2/P39AcfkwPUEl86Bg46DOHnyZJ5//nmgYxDDkCFDWLRoUY8HMfQWZ83EIDkE6qCiM4i3ajjS+0zq0nWFo6YEk75WC8mBA+rq6vT/BgEKCgrIy8sjPLxj9NHdd9/NvHnzmDhxIpMnT2bp0qXU19ezYMECA1ttX4YPH250EwxBRW8VnUG8VcOR3nMzk5ibmWSz7kwfvab/4k192WSCX/40lTuuSu/To1fpa7VwBW/DA7js7GwuvPDHxNa7774b6Bhp+tprrzFnzhzKysp4+OGHKS4uZvz48Xz11Vcu8fzZXtTV1TFgwACjm+F0VPRW0RnEWzWc7d2XARKaBi9/spWXP9mqrwsLNPPRE1cyKCKwx7XppK/VwhW8XeoRqqtwYg7cnj17HF4HTnLgJAfOVfNb7JUDt379esmBkxy4M75GhISE2K0O3Nsbavky68fam2fK6EH+3DVjKMPjB0sO3AnXiG+//VZy4KQOnOshOXCORUVvFZ1BvFXDXbyv+v0nbDtQ3uvPn5M6iJfvvQgfL0+3cbY34m1/3HImBlfDWQGcpmlKTiGjoreKziDequHO3j199NoVcZGBvPbgZQyO7PmjV3fHnfu6LzjSWwI4O+CsAG7z5s1MmDDBYft3VVT0VtEZxFs1+pN3X2aQABgSHcS7j84gIsTPjq1yHfpTX58JjvR2m1GoQke+iIqo6K2iM4i3avQn764GSJzJo9dDJbVMvfVtm3VnJQ/kxbszCfSzbykTI+hPfX0muIK33IHrAmcPYggICMDT09NtEpTtNYihtbWVtLQ0pQYx5OTkEBgY6DYJyvYaxLB582a8vLzcJkHZXoMY2tvbqa+v14+3KoMYfHx8CAsLc6lBDI68RrzySQ4vfbGP3v41NQFXnzuEO69Oo+BAR9+4yzXi+++/JzAwULlBDNb2gAxicEmc9Qi1vr6egIAAh+3fVVHRW0VnEG/VUNH7ZOe+FhwODfDhnUdnMCw2xKVzzFTsa3Csd09jD+dPGCd0wvqfkWqo6K2iM4i3aqjofbLz3Mwkdv3jJva8fbP+c8XUYT3eX1V9C9N/8xGjrl/OyOteZeR1r5Kx8C0Kj1XjSvddVOxrcA1vyYETBEEQBCfQl4LDAJV1zVx8z4c264ZEB/HW7y8nOtzfpe/UCfZHHqF2g7MeoZaVlREZGemw/bsqKnqr6AzirRoqetvTuS+lTAAmjY7mf++c5pSRryr2NTjWW8qI9AFnD2KIiIigpaXFbRKU7TWIATqSV109Qdmegxjy8vLw8/NzmwRlew1i2L59O5qmuU2Csr0GMZjNZsrLy/XjrcoghuDgYPz8/JQZxFBUVERRURHBwcEOm4nht28d6FNQN2awP7++Yihjk0bY9Rqxfv16/Pz8lBvEcOTIEZqbmwEZxOCSyEwMjkVFbxWdQbxVQ0VvZzv3dZAEwJTkgSzrYzkTFfsaXGMmBsmBEwRBEAQ3Y25mEnMzk2zWnWnR4fU7jpF285s266Ykx/LiPZkE+HrbpZ2C45A7cN3grDtwbW1teHmpF0ur6K2iM4i3aqjo7arOfZ1JwmSC+dOTuWN2GoH+ne/Uuaq3o3Gkt+TA2QFnBXBbtmxh3LhxDtu/q6Kit4rOIN6qoaK3OznbI6i78ZJk7rhqAgX7drmNtz1xZH/LI1Q3wprQrxoqeqvoDOKtGip6u5NzV+VMziSo0zR4/asdvP7Vjv9f0zHAI2NMDM/flUlooNmezXVJXKG/5Q5cFzh7FKqfnx/e3t5uM8LMXqNQW1paSE9Pd4sRZvYahZqdnU1QUJByo1Bzc3Px9vZ2mxFm9hqFarFYaGho0I+3KqNQvb29CQ8PV2oU6qFDhwgPD3fYKFQjrhFPfHyYXYer6Qtj4gK4/+pRpI9P6VejUPft26fX3ZNRqC6Isx6hNjY24ufn+Ho9roaK3io6g3irhoreqjhf9ftP2HagvE/7yBgTw1/u+IlT6tQ5Ckf2t0yl5UZYo2/VUNFbRWcQb9VQ0VsV54/+cKXN9GBv3plyRlOEAWTtLGbqrW/rU4SNvO5Vpt31PodKalxqmrDucIX+lhw4QRAEQRB6TV9z6gAOl9aS+T8f2KwbHBnIX39zMQkDQ/DylPtNJyOPULvBWY9Qi4uLiYmJcdj+XRUVvVV0BvFWDRW9VXSGM/Pu6+hX6BgB+4srUvn1VRMw+xh3D8qR/S2jUN0Ii8VidBMMQUVvFZ1BvFVDRW8VneHMvLu6U3emM0poGvz9n1v5+z9/fIR5ulp1jsAV+lsCOBfgyJEjDBo0yOhmOB0VvVV0BvFWDRW9VXSGvnt3NaNEb4K6FV/sYMUXO/R1JhP8/KIx3DZrPOHBvvqIUXvhCv0tAZwgCIIgCC5DV0EdwAW/fpei8voe7UPT4M1/7+TNf++0WR8WaOaN319GfEywoY9g7YHkwHWBs+vAjR49mqKiIrep8WSvOnCBgYEkJCS4RY0ne9WBy8/Px8PDwyVqPDmzDlxBQQF1dXVuU+PJXnXgBg8erPejSnXg4uPjaWxsVKoO3PHjxzGbzf2qDlxPrhG5ubl4eHj0+RrR2zpwT3x8uM9lTfzNHjz7y6lEBZloqqsETn+NqKmpoaysDJA6cC6JswYxbN++nZSUFIft31VR0VtFZxBv1VDRW0VncE1ve9SqA4iLDOLv911MfEwIHh62j2Ad6S2DGNyI+vqe3RLub6joraIziLdqqOitojO4pvdHf7iyy/Vn8ggW4HBZLZfe+5HNOpMJrjp/BGcnmDA6bpUAzgUIDAw0ugmGoKK3is4g3qqhoreKzuBe3mufu7bTujMN6jQNPly7l39leXH5Refas3lnjDxC7QZnPUJtbm7GbO7/k/+ejIreKjqDeKuGit4qOkP/9O7pKNg9b9/skO+XqbTcCGuiuGqo6K2iM4i3aqjoraIz9E/vuZlJ7PrHTTZThu15+2bGDovQtxkQZPwDTONbIAiCIAiC4OKcmFtnHWlsJHIHzgWIi4szugmGoKK3is4g3qqhoreKziDeRiIBnAvg4aFmN6joraIziLdqqOitojOIt6FtMLoBAnrhQ9VQ0VtFZxBv1VDRW0VnEG8jkRy4LjhxJgaA7Oxsh87EYLFYyM/Pd5sq6/aaiaG2tpaGhga3qLJur5kYKisrycrKcpsq6/aaiaGuro6srCzlZmKwWCx6+1WaiaGlpYXCwkKlZmKorKwkNzdXuZkYrNc0o2ZiMOoa0dDQoH+vI2Zi6AlSRqQbnFVGpLGxET8/P4ft31VR0VtFZxBv1VDRW0VnEG9HIGVE3AjrfyGqoaK3is4g3qqhoreKziDeRiIBnAtQW1trdBMMQUVvFZ1BvFVDRW8VnUG8jUQCOBdAxdvPoKa3is4g3qqhoreKziDeRiI5cN3grBy41tZWvL29HbZ/V0VFbxWdQbxVQ0VvFZ1BvB2B5MC5EdaROaqhoreKziDeqqGit4rOIN5GImVEusF6c7Kmpsah31NfX+/w73BFVPRW0RnEWzVU9FbRGcTbEVj3e7oHpBLAdYM1SdEVpswQBEEQBEEdamtrCQkJOeX7kgPXDe3t7RQVFREUFITJZHLId9TU1BAXF8fhw4cdmmfnaqjoraIziLd4939UdAbxdpS3pmnU1tYSGxvb7ZRdcgeuGzw8PBg8eLBTvis4OFipXwArKnqr6AzirRoqeqvoDOLtCLq782ZFBjEIgiAIgiC4GRLACYIgCIIguBkSwBmM2WzmkUcewWw2G90Up6Kit4rOIN7i3f9R0RnE22hvGcQgCIIgCILgZsgdOEEQBEEQBDdDAjhBEARBEAQ3QwI4QRAEQRAEN0MCOEEQBEEQBDdDAjiDWbZsGfHx8fj6+pKRkcHGjRuNblKveeqpp5g0aRJBQUFERUUxc+ZMdu/ebbPNBRdcgMlksvn51a9+ZbPNoUOHuPzyy/H39ycqKorf/OY3tLW1OVOlxzz66KOdfEaPHq2/39TUxO23386AAQMIDAzkqquuoqSkxGYf7uRrJT4+vpO3yWTi9ttvB/pPP3/33XfMmDGD2NhYTCYTq1atsnlf0zQefvhhBg4ciJ+fH5mZmezdu9dmm4qKCq6//nqCg4MJDQ3l5ptvpq6uzmabrVu3cu655+Lr60tcXBzPPPOMo9W6pTvv1tZW7rvvPsaOHUtAQACxsbHceOONFBUV2eyjq3Pk6aefttnGlbxP19fz58/v5HPppZfabNPf+hro8vfcZDLx7LPP6tu4W1/35G+Vva7da9euJS0tDbPZzPDhw3nttdfsJ6IJhvHuu+9qPj4+2vLly7UdO3Zot9xyixYaGqqVlJQY3bRecckll2grVqzQtm/fruXl5WmXXXaZNmTIEK2urk7f5vzzz9duueUW7dixY/pPdXW1/n5bW5uWkpKiZWZmaps3b9a++OILLSIiQnvggQeMUDotjzzyiJacnGzjU1ZWpr//q1/9SouLi9O+/vprLTs7WzvrrLO0qVOn6u+7m6+V0tJSG+fVq1drgPbtt99qmtZ/+vmLL77QHnzwQe3jjz/WAG3lypU27z/99NNaSEiItmrVKm3Lli3aT3/6Uy0hIUFrbGzUt7n00ku1cePGaRs2bND++9//asOHD9fmzp2rv19dXa1FR0dr119/vbZ9+3btnXfe0fz8/LS//vWvztLsRHfeVVVVWmZmpvbee+9pu3bt0tavX69NnjxZS09Pt9nH0KFDtccee8zmHDjxWuBq3qfr63nz5mmXXnqpjU9FRYXNNv2trzVNs/E9duyYtnz5cs1kMmn79+/Xt3G3vu7J3yp7XLsPHDig+fv7a3fffbe2c+dO7fnnn9c8PT21r776yi4eEsAZyOTJk7Xbb79dX7ZYLFpsbKz21FNPGdgq+1FaWqoB2n/+8x993fnnn6/deeedp/zMF198oXl4eGjFxcX6updeekkLDg7WmpubHdncXvHII49o48aN6/K9qqoqzdvbW/vggw/0dfn5+RqgrV+/XtM09/M9FXfeeaeWmJiotbe3a5rW//pZ07ROf9za29u1mJgY7dlnn9XXVVVVaWazWXvnnXc0TdO0nTt3aoC2adMmfZsvv/xSM5lM2tGjRzVN07QXX3xRCwsLs/G+7777tFGjRjnYqGd09Uf9ZDZu3KgB2sGDB/V1Q4cO1f7yl7+c8jOu7H2qAO7KK6885WdU6esrr7xS+8lPfmKzzp37WtM6/62y17X7t7/9rZacnGzzXXPmzNEuueQSu7RbHqEaREtLCzk5OWRmZurrPDw8yMzMZP369Qa2zH5UV1cDEB4ebrP+H//4BxEREaSkpPDAAw/Q0NCgv7d+/XrGjh1LdHS0vu6SSy6hpqaGHTt2OKfhZ8jevXuJjY1l2LBhXH/99Rw6dAiAnJwcWltbbfp49OjRDBkyRO9jd/Q9mZaWFt566y1uuukmTCaTvr6/9fPJFBQUUFxcbNO/ISEhZGRk2PRvaGgoEydO1LfJzMzEw8ODrKwsfZvzzjsPHx8ffZtLLrmE3bt3U1lZ6SSbvlFdXY3JZCI0NNRm/dNPP82AAQOYMGECzz77rM3jJXf0Xrt2LVFRUYwaNYpbb72V48eP6++p0NclJSV8/vnn3HzzzZ3ec+e+Pvlvlb2u3evXr7fZh3Ube/2Nl8nsDaK8vByLxWLT+QDR0dHs2rXLoFbZj/b2du666y7OPvtsUlJS9PXXXXcdQ4cOJTY2lq1bt3Lfffexe/duPv74YwCKi4u7PCbW91yNjIwMXnvtNUaNGsWxY8dYvHgx5557Ltu3b6e4uBgfH59Of9Sio6N1F3fz7YpVq1ZRVVXF/Pnz9XX9rZ+7wtrOrjxO7N+oqCib9728vAgPD7fZJiEhodM+rO+FhYU5pP32oqmpifvuu4+5c+faTOz961//mrS0NMLDw1m3bh0PPPAAx44dY8mSJYD7eV966aXMnj2bhIQE9u/fz+9+9zumT5/O+vXr8fT0VKKvX3/9dYKCgpg9e7bNenfu667+Vtnr2n2qbWpqamhsbMTPz69PbZcATnAIt99+O9u3b+f777+3Wb9w4UL99dixYxk4cCDTpk1j//79JCYmOruZfWb69On669TUVDIyMhg6dCjvv/9+n3853YVXX32V6dOnExsbq6/rb/0sdE1rayvXXHMNmqbx0ksv2bx39913669TU1Px8fHhl7/8JU899ZThUxD1hmuvvVZ/PXbsWFJTU0lMTGTt2rVMmzbNwJY5j+XLl3P99dfj6+trs96d+/pUf6vcAXmEahARERF4enp2GtVSUlJCTEyMQa2yD4sWLeKzzz7j22+/ZfDgwd1um5GRAcC+ffsAiImJ6fKYWN9zdUJDQxk5ciT79u0jJiaGlpYWqqqqbLY5sY/d3ffgwYOsWbOGX/ziF91u19/6GX5sZ3e/wzExMZSWltq839bWRkVFhdufA9bg7eDBg6xevdrm7ltXZGRk0NbWRmFhIeC+3laGDRtGRESEzTndX/sa4L///S+7d+8+7e86uE9fn+pvlb2u3afaJjg42C7/4EsAZxA+Pj6kp6fz9ddf6+va29v5+uuvmTJlioEt6z2aprFo0SJWrlzJN9980+mWeVfk5eUBMHDgQACmTJnCtm3bbC6E1j8OY8aMcUi77UldXR379+9n4MCBpKen4+3tbdPHu3fv5tChQ3ofu7vvihUriIqK4vLLL+92u/7WzwAJCQnExMTY9G9NTQ1ZWVk2/VtVVUVOTo6+zTfffEN7e7se1E6ZMoXvvvuO1tZWfZvVq1czatQol32kZg3e9u7dy5o1axgwYMBpP5OXl4eHh4f+mNEdvU/kyJEjHD9+3Oac7o99beXVV18lPT2dcePGnXZbV+/r0/2tste1e8qUKTb7sG5jt7/xdhkKIfSKd999VzObzdprr72m7dy5U1u4cKEWGhpqM6rFnbj11lu1kJAQbe3atTbDyRsaGjRN07R9+/Zpjz32mJadna0VFBRon3zyiTZs2DDtvPPO0/dhHZp98cUXa3l5edpXX32lRUZGulx5CSv33HOPtnbtWq2goED74YcftMzMTC0iIkIrLS3VNK1jKPqQIUO0b775RsvOztamTJmiTZkyRf+8u/meiMVi0YYMGaLdd999Nuv7Uz/X1tZqmzdv1jZv3qwB2pIlS7TNmzfroy2ffvppLTQ0VPvkk0+0rVu3aldeeWWXZUQmTJigZWVlad9//702YsQIm9ISVVVVWnR0tHbDDTdo27dv1959913N39/f0NIS3Xm3tLRoP/3pT7XBgwdreXl5Nr/r1tF369at0/7yl79oeXl52v79+7W33npLi4yM1G688Ub9O1zNuzvn2tpa7d5779XWr1+vFRQUaGvWrNHS0tK0ESNGaE1NTfo++ltfW6murtb8/f21l156qdPn3bGvT/e3StPsc+22lhH5zW9+o+Xn52vLli2TMiL9ieeff14bMmSI5uPjo02ePFnbsGGD0U3qNUCXPytWrNA0TdMOHTqknXfeeVp4eLhmNpu14cOHa7/5zW9s6oNpmqYVFhZq06dP1/z8/LSIiAjtnnvu0VpbWw0wOj1z5szRBg4cqPn4+GiDBg3S5syZo+3bt09/v7GxUbvtttu0sLAwzd/fX5s1a5Z27Ngxm324k++J/Otf/9IAbffu3Tbr+1M/f/vtt12e0/PmzdM0raOUyEMPPaRFR0drZrNZmzZtWqfjcfz4cW3u3LlaYGCgFhwcrC1YsECrra212WbLli3aOeeco5nNZm3QoEHa008/7SzFLunOu6Cg4JS/69Y6gDk5OVpGRoYWEhKi+fr6aklJSdqTTz5pE+xommt5d+fc0NCgXXzxxVpkZKTm7e2tDR06VLvllls6/bPd3/rayl//+lfNz89Pq6qq6vR5d+zr0/2t0jT7Xbu//fZbbfz48ZqPj482bNgwm+/oK6b/lxEEQRAEQRDcBMmBEwRBEARBcDMkgBMEQRAEQXAzJIATBEEQBEFwMySAEwRBEARBcDMkgBMEQRAEQXAzJIATBEEQBEFwMySAEwRBEARBcDMkgBMEQRAEQXAzJIATBEEwEJPJxKpVq4xuhiAIboYEcIIgKMv8+fMxmUydfi699FKjmyYIgtAtXkY3QBAEwUguvfRSVqxYYbPObDYb1BpBEISeIXfgBEFQGrPZTExMjM1PWFgY0PF486WXXmL69On4+fkxbNgwPvzwQ5vPb9u2jZ/85Cf4+fkxYMAAFi5cSF1dnc02y5cvJzk5GbPZzMCBA1m0aJHN++Xl5cyaNQt/f39GjBjBp59+qr9XWVnJ9ddfT2RkJH5+fowYMaJTwCkIgnpIACcIgtANDz30EFdddRVbtmzh+uuv59prryU/Px+A+vp6LrnkEsLCwti0aRMffPABa9assQnQXnrpJW6//XYWLlzItm3b+PTTTxk+fLjNdyxevJhrrrmGrVu3ctlll3H99ddTUVGhf//OnTv58ssvyc/P56WXXiIiIsJ5B0AQBNdEEwRBUJR58+Zpnp6eWkBAgM3PE088oWmapgHar371K5vPZGRkaLfeequmaZr2t7/9TQsLC9Pq6ur09z///HPNw8NDKy4u1jRN02JjY7UHH3zwlG0AtN///vf6cl1dnQZoX375paZpmjZjxgxtwYIF9hEWBKHfIDlwgiAozYUXXshLL71ksy48PFx/PWXKFJv3pkyZQl5eHgD5+fmMGzeOgIAA/f2zzz6b9vZ2du/ejclkoqioiGnTpnXbhtTUVP11QEAAwcHBlJaWAnDrrbdy1VVXkZuby8UXX8zMmTOZOnVqr1wFQeg/SAAnCILSBAQEdHqkaS/8/Px6tJ23t7fNsslkor29HYDp06dz8OBBvvjiC1avXs20adO4/fbb+dOf/mT39gqC4D5IDpwgCEI3bNiwodNyUlISAElJSWzZsoX6+nr9/R9++AEPDw9GjRpFUFAQ8fHxfP31131qQ2RkJPPmzeOtt95i6dKl/O1vf+vT/gRBcH/kDpwgCErT3NxMcXGxzTovLy99oMAHH3zAxIkTOeecc/jHP/7Bxo0befXVVwG4/vrreeSRR5g3bx6PPvooZWVl3HHHHdxwww1ER0cD8Oijj/KrX/2KqKgopk+fTm1tLT/88AN33HFHj9r38MMPk56eTnJyMs3NzXz22Wd6ACkIgrpIACcIgtJ89dVXDBw40GbdqFGj2LVrF9AxQvTdd9/ltttuY+DAgbzzzjuMGTMGAH9/f/71r39x5513MmnSJPz9/bnqqqtYsmSJvq958+bR1NTEX/7yF+69914iIiK4+uqre9w+Hx8fHnjgAQoLC/Hz8+Pcc8/l3XfftYO5IAjujEnTNM3oRgiCILgiJpOJlStXMnPmTKObIgiCYIPkwAmCIAiCILgZEsAJgiAIgiC4GZIDJwiCcAokw0QQBFdF7sAJgiAIgiC4GRLACYIgCIIguBkSwAmCIAiCILgZEsAJgiAIgiC4GRLACYIgCIIguBkSwAmCIAiCILgZEsAJgiAIgiC4GRLACYIgCIIguBn/B9vJENnDsHSfAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_experiment(layer_type, required_parameters)" ] }, { "cell_type": "code", "execution_count": null, "id": "b04b05b0-2bfb-4e1c-954d-ff5642d28dde", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "ba86754b-befe-4bd0-8df9-54043d56c19d", "metadata": {}, "source": [ "### Legendre Layer" ] }, { "cell_type": "markdown", "id": "4c276e08-4532-49e4-a414-b97a1292ee38", "metadata": {}, "source": [ "The `legendre` layer utilizes Legendre polynomials as basis functions. The parameters that can be input via the `required_parameters` argument are the same as in the `chebyshev` case." ] }, { "cell_type": "code", "execution_count": 10, "id": "749b1bf4-8d02-41df-8fb5-18c83c510780", "metadata": {}, "outputs": [], "source": [ "layer_type = \"legendre\"\n", "\n", "required_parameters = {'D': 5, 'flavor': 'exact',\n", " 'residual': None, 'external_weights': False,\n", " 'init_scheme': {\"type\" : \"default\"},\n", " 'add_bias': True}" ] }, { "cell_type": "code", "execution_count": 11, "id": "abf69afe-b992-40c3-963e-86c7d45aafe7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The MSE of the fit is 0.00582\n", "\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_experiment(layer_type, required_parameters)" ] }, { "cell_type": "code", "execution_count": null, "id": "843204d6-0315-42eb-89df-0b962e023414", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "ec7dc2b3-66b1-454e-8e92-3c5333032a4e", "metadata": {}, "source": [ "### Fourier Layer" ] }, { "cell_type": "markdown", "id": "8aad8b83-c687-4c04-b30a-9b674355b0df", "metadata": {}, "source": [ "The `fourier` layer utilizes cosines and sines as basis functions. The parameters that can be input via the `required_parameters` argument are:\n", "\n", "- `D`: Order of the Fourier sum.\n", "- `smooth_init`: Boolean that controls if Fourier coefficients are initialized with smoothening.\n", "- `add_bias`: Same as in the other layer types." ] }, { "cell_type": "code", "execution_count": 12, "id": "7c644f4e-3756-490f-8a68-42c53b50d7e7", "metadata": {}, "outputs": [], "source": [ "layer_type = \"fourier\"\n", "\n", "required_parameters = {'D': 5, 'smooth_init': True, 'add_bias': True}" ] }, { "cell_type": "code", "execution_count": 13, "id": "b59f64fa-c9d6-4d92-93ae-54f97d3ed5bb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The MSE of the fit is 0.00122\n", "\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_experiment(layer_type, required_parameters)" ] }, { "cell_type": "code", "execution_count": null, "id": "407e22e8-697d-456d-afc9-c2879706ac1c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "d79138e5-2014-4760-a7db-98c8e9b6b0ed", "metadata": {}, "source": [ "### RBF Layer" ] }, { "cell_type": "markdown", "id": "9ffddc24-784c-4bf4-9cbd-4d173f0f7613", "metadata": {}, "source": [ "The `rbf` layer utilizes different radial functions as basis functions. The parameters that can be input via the `required_parameters` argument are:\n", "\n", "- `D`: Number of basis functions.\n", "- `kernel`: Kernel to be used for the RBFs (e.g., \"gaussian\").\n", "- `grid_range`: Same as in `base`.\n", "- `grid_e`: Same as in `base`.\n", "- `residual`: Same as in `base`.\n", "- `external_weights`: Same as in `base`.\n", "- `init_scheme`: Same as in `base`.\n", "- `add_bias`: Same as in `base`." ] }, { "cell_type": "code", "execution_count": 14, "id": "fa7eb210-ac23-402c-9e4b-19193cbe3775", "metadata": {}, "outputs": [], "source": [ "layer_type = \"rbf\"\n", "\n", "required_parameters = {'D': 5, 'kernel': {\"type\" : \"gaussian\"},\n", " 'grid_range': (-1,1), 'grid_e': 1.0,\n", " 'residual': None, 'external_weights': False,\n", " 'init_scheme': {\"type\" : \"default\"},\n", " 'add_bias': True}" ] }, { "cell_type": "code", "execution_count": 15, "id": "bf061896-4873-4ed4-b964-c7b89c763b59", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The MSE of the fit is 0.00337\n", "\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_experiment(layer_type, required_parameters)" ] }, { "cell_type": "code", "execution_count": null, "id": "3639dcb3-5320-43d9-a888-d02fcd9602d2", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "7869e711-43f2-4f39-85f4-5af873fcdab6", "metadata": {}, "source": [ "### Sine Layer" ] }, { "cell_type": "markdown", "id": "59fd5319-9b19-4ec4-a4fe-3ac59ba8edc1", "metadata": {}, "source": [ "The `sine` layer utilizes sine-based basis functions as introduced in [Deep Learning Alternatives Of The Kolmogorov Superposition Theorem\n", "](https://openreview.net/forum?id=SyVPiehSbg). The parameters that can be input via the `required_parameters` argument are:\n", "\n", "- `D`: Number of basis functions.\n", "- `residual`: Same as in `base`.\n", "- `external_weights`: Same as in `base`.\n", "- `init_scheme`: Same as in `base`.\n", "- `add_bias`: Same as in `base`." ] }, { "cell_type": "code", "execution_count": 16, "id": "b9c93375-72d5-47d0-a539-dafe3700a601", "metadata": {}, "outputs": [], "source": [ "layer_type = \"sine\"\n", "\n", "required_parameters = {'D': 5,\n", " 'residual': None, 'external_weights': False,\n", " 'init_scheme': {\"type\" : \"default\"},\n", " 'add_bias': True}" ] }, { "cell_type": "code", "execution_count": 17, "id": "5a195e99-dd1f-4c19-9344-733d10e76eb5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The MSE of the fit is 0.00049\n", "\n", "\n" ] }, { "data": { "image/png": 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", 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