{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "cell-0", "metadata": {}, "outputs": [], "source": [ "import os\n", "os.environ[\"CUDA_DEVICE_ORDER\"] = \"PCI_BUS_ID\"\n", "os.environ[\"CUDA_VISIBLE_DEVICES\"] = \"1\"\n", "os.environ[\"XLA_PYTHON_CLIENT_PREALLOCATE\"] = \"false\"\n", "os.environ[\"XLA_PYTHON_CLIENT_ALLOCATOR\"] = \"platform\"\n", "\n", "import jax\n", "jax.config.update('jax_default_device', 'gpu')\n", "jax.config.update('jax_default_matmul_precision', 'highest')" ] }, { "cell_type": "code", "execution_count": 2, "id": "cell-1", "metadata": {}, "outputs": [], "source": [ "import jax.numpy as jnp\n", "import jax.random as jr\n", "import jax.tree_util as jtu\n", "import equinox as eqx\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "from functools import partial\n", "from jax import vmap\n", "from scipy.linalg import orthogonal_procrustes\n", "\n", "from sppcax.distributions import MultivariateNormalInverseGamma as MVNIG\n", "\n", "from sppcax.models import BayesianFactorAnalysis as BFA\n", "from sppcax.models.dynamic_factor_analysis import (\n", " ParamsLGSSM, ParamsLGSSMInitial, ParamsLGSSMDynamics,\n", " ParamsLGSSMEmissions,\n", ")\n", "from sppcax.inference.utils import ParamsLGSSMVB" ] }, { "cell_type": "markdown", "id": "cell-2", "metadata": {}, "source": [ "# Testing PX-VBEM for Bayesian Factor Analysis\n", "\n", "This notebook tests the **Parameter-Expanded VBEM (PX-VBEM)** algorithm\n", "applied to Bayesian Factor Analysis (static DFA with $\\mathbf{F}=0$, $\\mathbf{Q}=\\mathbf{I}$).\n", "\n", "The PX-VB rotation matrix $\\mathbf{R}$ is found by numerically minimizing\n", "the objective $\\mathbb{E}_q[-\\ln p(\\tilde{\\mathbf{H}}, \\tilde{\\mathbf{x}} \\mid \\mathbf{R})]$\n", "using gradient descent with Anderson acceleration (m=1).\n", "\n", "In the static case only two loss terms contribute:\n", "- $\\mathcal{L}_\\text{init}$: initial state prior\n", "- $\\mathcal{L}_\\text{em}$: emission prior\n", "\n", "The converged $\\mathbf{R}$ transforms the emission posterior as:\n", "$\\tilde{\\mathbf{H}} = \\mathbf{H} \\mathbf{R}_\\text{block}$ where $\\mathbf{R}_\\text{block} = \\text{blkdiag}(\\mathbf{R}, \\mathbf{I})$.\n", "\n", "If the optimization does not reduce the loss, $\\mathbf{R}$ falls back to identity." ] }, { "cell_type": "markdown", "id": "cell-3", "metadata": {}, "source": [ "## 1. Generate Synthetic FA Data" ] }, { "cell_type": "code", "execution_count": 3, "id": "cell-4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Y shape: (200, 20), H_true shape: (20, 4)\n", "H_true sparsity: 45.0% zeros\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Data dimensions\n", "N = 200 # observations\n", "D = 20 # features\n", "K = 4 # latent components\n", "\n", "key = jr.PRNGKey(137)\n", "\n", "# True sparse loading matrix\n", "key, k1, k2 = jr.split(key, 3)\n", "H_true = jr.normal(k1, (D, K)) * jr.bernoulli(k2, p=0.5, shape=(D, K))\n", "\n", "# True diagonal noise covariance\n", "key, k1 = jr.split(key)\n", "R_true_diag = jr.uniform(k1, (D,), minval=0.3, maxval=1.0)\n", "H_true = R_true_diag[..., None] * H_true\n", "\n", "# Generate data: z ~ N(0, I), x = H z + noise\n", "key, k1, k2 = jr.split(key, 3)\n", "Z_true = jr.normal(k1, (N, K))\n", "noise = jr.normal(k2, (N, D)) * jnp.sqrt(R_true_diag)\n", "Y = Z_true @ H_true.T + noise\n", "\n", "print(f\"Y shape: {Y.shape}, H_true shape: {H_true.shape}\")\n", "print(f\"H_true sparsity: {jnp.isclose(H_true, 0.).mean():.1%} zeros\")\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", "sns.heatmap(Y[:50], ax=axes[0], cmap='RdBu_r', center=0)\n", "axes[0].set_title('Observations (first 50)')\n", "sns.heatmap(H_true, ax=axes[1], cmap='RdBu_r', center=0, annot=False)\n", "axes[1].set_title('True Loading Matrix H')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "cell-11", "metadata": {}, "source": [ "## 2. Experiments Without BMR" ] }, { "cell_type": "code", "execution_count": 4, "id": "cell-12", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EM final ELBO: -5644.8\n", "PX-EM final ELBO: -5620.6\n", "VBEM final ELBO: -5728.5\n", "PX-VBEM final ELBO: -5704.2\n" ] } ], "source": [ "NUM_ITERS = 20\n", "use_ard = True\n", "\n", "# --- Standard EM ---\n", "model1 = BFA(2 * K, D, has_ard=use_ard, use_px=False)\n", "key, k1, k2 = jr.split(key, 3)\n", "params_init, props = model1.initialize(k1)\n", "params_em, elbos_em = model1.fit_em(params_init, props, Y, k2, num_iters=NUM_ITERS)\n", "print(f\"EM final ELBO: {elbos_em[-1]:.1f}\")\n", "\n", "# --- PX-EM ---\n", "model2 = BFA(2 * K, D, has_ard=use_ard, use_px=True)\n", "key, k1, k2 = jr.split(key, 3)\n", "params_pxl, elbos_pxl = model2.fit_em(params_init, props, Y, k2, num_iters=NUM_ITERS)\n", "print(f\"PX-EM final ELBO: {elbos_pxl[-1]:.1f}\")\n", "\n", "# --- Standard VBEM ---\n", "model1 = BFA(2 * K, D, has_ard=use_ard, use_px=False)\n", "key, k1, k2 = jr.split(key, 3)\n", "params_vbem_init, props_vbem = model1.initialize(k1, variational_bayes=True)\n", "params_vbem, elbos_vbem = model1.fit_vbem(params_vbem_init, props_vbem, Y, k2, num_iters=NUM_ITERS)\n", "print(f\"VBEM final ELBO: {elbos_vbem[-1]:.1f}\")\n", "\n", "# --- PX-VBEM ---\n", "model2 = BFA(2 * K, D, has_ard=use_ard, use_px=True)\n", "key, k1, k2 = jr.split(key, 3)\n", "params_pxl_vb, elbos_pxl_vb = model2.fit_vbem(params_vbem_init, props_vbem, Y, k2, num_iters=NUM_ITERS)\n", "print(f\"PX-VBEM final ELBO: {elbos_pxl_vb[-1]:.1f}\")" ] }, { "cell_type": "markdown", "id": "cell-13", "metadata": {}, "source": [ "### Convergence Comparison (No BMR)" ] }, { "cell_type": "code", "execution_count": 5, "id": "cell-14", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", "\n", "# ELBO convergence\n", "ax = axes[0]\n", "ax.plot(elbos_em[1:], label='EM', alpha=0.8)\n", "ax.plot(elbos_pxl[1:], label='PX-EM', alpha=0.8)\n", "ax.plot(elbos_vbem[1:], label='VBEM', alpha=0.8)\n", "ax.plot(elbos_pxl_vb[1:], label='PX-VBEM', alpha=0.8)\n", "ax.set_xlabel('Iteration')\n", "ax.set_ylabel('ELBO')\n", "ax.set_title('ELBO Convergence (No BMR)')\n", "ax.legend()\n", "ax.grid(True, alpha=0.3)\n", "\n", "# Zoomed view of first 50 iterations\n", "ax = axes[1]\n", "ax.plot(elbos_em[1:50], label='EM', alpha=0.8)\n", "ax.plot(elbos_pxl[1:50], label='PX-EM', alpha=0.8)\n", "ax.plot(elbos_vbem[1:50], label='VBEM', alpha=0.8)\n", "ax.plot(elbos_pxl_vb[1:50], label='PX-VBEM', alpha=0.8)\n", "ax.set_xlabel('Iteration')\n", "ax.set_ylabel('ELBO')\n", "ax.set_title('ELBO Convergence — First 50 Iterations')\n", "ax.legend()\n", "ax.grid(True, alpha=0.3)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "cell-15", "metadata": {}, "source": [ "### Loading Matrix Recovery (No BMR)" ] }, { "cell_type": "code", "execution_count": 6, "id": "cell-16", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def procrustes_similarity(H_est, H_true):\n", " \"\"\"Align H_est to H_true via orthogonal Procrustes.\n", " \n", " Handles different number of columns by zero-padding the smaller matrix.\n", " Returns aligned H_est and Frobenius disparity.\n", " \"\"\"\n", " D, K_est = H_est.shape\n", " K_true = H_true.shape[1]\n", " K_max = max(K_est, K_true)\n", " \n", " # Pad to equal column count\n", " A = jnp.pad(H_est, [(0, 0), (0, K_max - K_est)]) if K_est < K_max else H_est\n", " B = jnp.pad(H_true, [(0, 0), (0, K_max - K_true)]) if K_true < K_max else H_true\n", " \n", " R, _ = orthogonal_procrustes(A, B)\n", " H_aligned = A @ R\n", " disparity = jnp.linalg.norm(H_aligned - B, 'fro')\n", " return H_aligned, float(disparity)\n", "\n", "\n", "results_no_bmr = {\n", " 'EM': params_em.emissions.weights,\n", " 'PX-EM': params_pxl.emissions.weights,\n", " 'VBEM': params_vbem.emissions.weights,\n", " 'PX-VBEM': params_pxl_vb.emissions.weights,\n", "}\n", "\n", "fig, axes = plt.subplots(1, 5, figsize=(20, 6))\n", "vmax = jnp.abs(H_true).max()\n", "\n", "sns.heatmap(jnp.pad(H_true, [(0, 0), (0, K)]), ax=axes[0], cmap='RdBu_r', center=0, vmin=-vmax, vmax=vmax)\n", "axes[0].set_title('True H')\n", "\n", "for idx, (name, H_est) in enumerate(results_no_bmr.items()):\n", " H_aligned, disparity = procrustes_similarity(H_est, H_true)\n", " sns.heatmap(H_aligned, ax=axes[idx + 1], cmap='RdBu_r', center=0, vmin=-vmax, vmax=vmax)\n", " axes[idx + 1].set_title(f'{name}\\n||H_est R - H_true||={disparity:.2f}')\n", "\n", "plt.suptitle('Loading Matrix Recovery (No BMR)', y=1.02)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "cell-17", "metadata": {}, "source": [ "## 3. Experiments With BMR" ] }, { "cell_type": "code", "execution_count": 7, "id": "cell-18", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EM+BMR final ELBO: -5487.8\n", "PX-EM+BMR final ELBO: -5359.3\n" ] } ], "source": [ "NUM_ITERS_BMR = 20\n", "\n", "# --- Standard EM + BMR ---\n", "model_bmr = BFA(2 * K, D, has_ard=use_ard, use_bmr=True, use_px=False)\n", "key, k1, k2 = jr.split(key, 3)\n", "params_init_bmr, props_bmr = model_bmr.initialize(k1)\n", "params_em_bmr, elbos_em_bmr = model_bmr.fit_em(\n", " params_init_bmr, props_bmr,\n", " Y, k2, num_iters=NUM_ITERS_BMR,\n", " bmr_start_iter=8)\n", "print(f\"EM+BMR final ELBO: {elbos_em_bmr[-1]:.1f}\")\n", "\n", "# --- PXL-EM + BMR ---\n", "model_bmr = BFA(2 * K, D, has_ard=use_ard, use_bmr=True, use_px=True)\n", "params_pxl_bmr, elbos_pxl_bmr = model_bmr.fit_em(\n", " params_init_bmr, props_bmr,\n", " Y, k2,\n", " num_iters=NUM_ITERS_BMR,\n", " bmr_start_iter=8)\n", "print(f\"PX-EM+BMR final ELBO: {elbos_pxl_bmr[-1]:.1f}\")" ] }, { "cell_type": "code", "execution_count": 8, "id": "ovnfug34y8b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "VBEM+BMR final ELBO: -5519.5\n", "PX-VBEM+BMR final ELBO: -5392.3\n" ] } ], "source": [ "# --- Standard VBEM + BMR ---\n", "key, k1, k2 = jr.split(key, 3)\n", "model_bmr = BFA(2 * K, D, has_ard=use_ard, use_bmr=True, use_px=False)\n", "params_vbem_bmr_init, props_vbem_bmr = model_bmr.initialize(k1, variational_bayes=True)\n", "params_vbem_bmr, elbos_vbem_bmr = model_bmr.fit_vbem(\n", " params_vbem_bmr_init, props_vbem_bmr,\n", " Y, k2,\n", " num_iters=NUM_ITERS_BMR,\n", " bmr_start_iter=8)\n", "print(f\"VBEM+BMR final ELBO: {elbos_vbem_bmr[-1]:.1f}\")\n", "\n", "# --- PXL-VBEM + BMR ---\n", "model_bmr = BFA(2 * K, D, has_ard=use_ard, use_bmr=True, use_px=True)\n", "params_pxl_vb_bmr, elbos_pxl_vb_bmr = model_bmr.fit_vbem(\n", " params_vbem_bmr_init, props_vbem_bmr,\n", " Y, k2,\n", " num_iters=NUM_ITERS_BMR,\n", " bmr_start_iter=8)\n", "print(f\"PX-VBEM+BMR final ELBO: {elbos_pxl_vb_bmr[-1]:.1f}\")" ] }, { "cell_type": "markdown", "id": "cell-19", "metadata": {}, "source": [ "### Convergence Comparison (With BMR)" ] }, { "cell_type": "code", "execution_count": 9, "id": "cell-20", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABWwAAAHqCAYAAACQrwf+AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjEsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvc2/+5QAAAAlwSFlzAAAPYQAAD2EBqD+naQABAABJREFUeJzs3Xd4VGXax/Hv9EmZVFIhjRoITVBQiqCigNjWLqI0FX1taxdFQdF10bXr6rJK2VUWxLauDRFQqiAgCoTeS0JCepvJlPP+cTJDJpNA+iTh/lzXXGTOnPKcJ5Pwyz3PeY5GURQFIYQQQgghhBBCCCGEEH6n9XcDhBBCCCGEEEIIIYQQQqikYCuEEEIIIYQQQgghhBAthBRshRBCCCGEEEIIIYQQooWQgq0QQgghhBBCCCGEEEK0EFKwFUIIIYQQQgghhBBCiBZCCrZCCCGEEEIIIYQQQgjRQkjBVgghhBBCCCGEEEIIIVoIKdgKIYQQQgghhBBCCCFECyEFWyGEEEIIIYQQQgghhGghpGArhBCiRbn88su58847G21/Bw8eRKPRMG/evFqv+7e//a3Rju9vdrudhIQE/v73v/u7KUIIIYQQbcKMGTPQaDT+boaoRl2yvxAtmRRshTiLzZs3D41GU+Pjl19+8ayr0Wi47777Tru/4cOHe21vNBpJSUnhrrvu4siRI9Vu8/XXXzNq1CgiIyMxm8107dqVRx99lJycnDqdy759+5gyZQodO3bEbDYTEhLC4MGDefPNNykrK6vTvoT/rFmzhh9++IEnnngCgA0bNqDRaHj99dd91r366qvRaDTMnTvX57ULL7yQ9u3b13icb7/9lhkzZjRau91++uknn5+jiIgIzj//fD7++GOf9ZOTk9FoNIwYMaLa/f3zn//07Gfjxo2e5e4/EtwPg8FAcnIyDzzwAPn5+V77MBgMPPzww7z44otYrdZGPV8hhBBnH8mP4mxQ9X1Z+bFz585GP156ejozZszg4MGDtVr/dD+HmZmZPut/9dVX9OvXD7PZTGJiItOnT8fhcJzxOO5s++mnn3qWrV27lhkzZvhkzua2YMEC3njjDb+2QYimpPd3A4QQ/vf888+TkpLis7xz58513leHDh146aWXACgvLyc9PZ3333+fJUuWsGPHDgIDAz3rPvroo7z66qv06dOHJ554goiICDZv3sw777zDwoULWbZsGd26dTvjMb/55htuuOEGTCYTt99+Oz179qS8vJzVq1fz2GOPsX37dmbPnl3ncxHN75VXXuGSSy7xvPf69etHYGAgq1ev5qGHHvJad+3atej1etasWcPEiRM9y8vLy/n111+58sorAUhKSqKsrAyDweBZ59tvv+Xdd99tkqItwAMPPMB5550HQE5ODosWLWLcuHHk5+dz7733eq1rNptZsWIFmZmZxMbGer328ccfYzabayy0vvfeewQHB1NSUsKyZct4++232bx5M6tXr/Zab+LEiTz55JMsWLCASZMmNeKZCiGEOFtJfhRtXeX3ZWXx8fFMmzaNJ598stGOlZ6eznPPPcfw4cNJTk6u9XbV/RyGhYV5Pf/uu++45pprGD58OG+//TZbt27lhRdeICsri/fee6/ObV27di3PPfccEyZM8DlWc1qwYAHbtm3jz3/+s9fy6rK/EK2RFGyFEIwePZpzzz23UfYVGhrKuHHjvJalpKRw3333sWbNGi699FIA/vOf//Dqq69y00038fHHH6PT6TzrT5gwgYsuuogbbriBzZs3o9fX/KvqwIED3HzzzSQlJbF8+XLi4uI8r917773s3buXb775plHOzV+sVitGoxGttm1fFJGVlcU333zD+++/71mm1+sZOHAga9as8Vp3165dnDx5krFjx/oUJzdt2oTVamXIkCGAOrrHbDY3/QlUMnToUK6//nrP83vuuYeOHTuyYMECn4Lt4MGD+fXXX1m0aBEPPvigZ/nRo0dZtWoVf/rTn/jss8+qPc71119Pu3btAJgyZQo333wzixYtYsOGDQwYMMCzXlhYGJdddhnz5s2Tgq0QQohGIfmxZTtb8mNTqu59Wdnp3mMALpeL8vLyJs2htfk5fPTRR+nduzc//PCDp80hISH85S9/4cEHHyQ1NbXJ2lcXpaWlXh/O1Jc/sr8QTUF+ewshmpx71GDlUPPcc88RHh7O7NmzvcI2wIABA3jiiSfYunWr1+U31Xn55ZcpLi7mww8/9Arbbp07d/YqgjkcDmbOnEmnTp0wmUwkJyfz1FNPYbPZvLZLTk7miiuuYPXq1QwYMACz2UzHjh3517/+5Vln48aNaDQa5s+f73PcJUuWoNFo+Prrrz3Ljh07xqRJk4iJicFkMpGWlsacOXO8tnNfdrRw4UKmTZtG+/btCQwMpLCwEIDFixfTo0cPzGYzPXv25IsvvmDChAk+n8S7XC7eeOMN0tLSMJvNxMTEMGXKFPLy8up8nm75+fk89NBDJCcnYzKZ6NChA7fffjsnT570rGOz2Zg+fTqdO3fGZDKRkJDA448/7tO/1fnmm29wOBw+0wMMGTKEEydOsHfvXs+yNWvWEBISwl133eUp3lZ+zb0d+M5jNWHCBN59910Ar8vHqpo9e7bnfXLeeefx66+/nvEcamI0GgkPD6822JvNZq699loWLFjgtfw///kP4eHhjBw5stbHGTp0KKBe4lnVpZdeyurVq8nNza1j64UQQojmJ/lRJfmxZapuDlv3FCAff/wxaWlpmEwmvv/+ewAWLlxI//79sVgshISE0KtXL958801And7ghhtuAOCiiy7yZNOffvqpVm0pKirC6XRW+1p6ejrp6encddddXj9L//d//4eiKGf8WanuvB977DFA/VDF3dbKUzl89NFH9O/fn4CAACIiIrj55pt9pjcZPnw4PXv2ZNOmTVx44YUEBgby1FNPAfDf//6XMWPGEB8fj8lkolOnTsycOdPrHIcPH84333zDoUOHPG1wv59rmsN2+fLlDB06lKCgIMLCwrj66qvZsWOHz/lpNBr27t3rGUEcGhrKxIkTKS0t9Vp36dKlDBkyhLCwMIKDg+nWrZvnHIRoDDLCVghBQUGBV2gCNXBERkbWeV9Op9OzL7vdzo4dOzwBbPDgwQDs2bOHXbt2MWHCBEJCQqrdz+2338706dP5+uuvufnmm2s83v/+9z86duzIoEGDatW+O+64g/nz53P99dfzyCOPsH79el566SV27NjBF1984bXu3r17uf7665k8eTLjx49nzpw5TJgwgf79+5OWlsa5555Lx44d+eSTTxg/frzXtosWLfIqtp04cYLzzz/fE+SioqL47rvvmDx5MoWFhT6X8sycOROj0cijjz6KzWbDaDTyzTffcNNNN9GrVy9eeukl8vLymDx5crVztU6ZMoV58+YxceJEHnjgAQ4cOMA777zDb7/9xpo1a7wuETrTeQIUFxczdOhQduzYwaRJk+jXrx8nT57kq6++4ujRo7Rr1w6Xy8VVV13F6tWrueuuu+jevTtbt27l9ddfZ/fu3Xz55Zen/d6sXbuWyMhIkpKSvJa7C6+rV6/2XGa5Zs0azj//fAYOHIjBYGDt2rVcddVVntcsFgt9+vSp9jhTpkzh+PHjLF26lH//+9/VrrNgwQKKioqYMmUKGo2Gl19+mWuvvZb9+/fX6vKqoqIiz89Bbm6u55KtDz/8sNr1x44dy2WXXca+ffvo1KmTpw3XX399nS7ncofl8PBwn9f69++PoiisXbuWK664otb7FEIIIaoj+VHyY0vIj02p8vvSzWw2ExwcXOM2y5cv55NPPuG+++6jXbt2JCcns3TpUm655RYuueQSZs2aBcCOHTtYs2YNDz74IBdeeCEPPPAAb731Fk899RTdu3cH8Px7OhdddBHFxcUYjUZGjhzJq6++SpcuXTyv//bbbwA+o3Dj4+Pp0KGD5/Xauvbaa9m9ezf/+c9/eP311z1XekVFRQHw4osv8swzz3DjjTdyxx13kJ2dzdtvv82FF17Ib7/95jWFQk5ODqNHj+bmm29m3LhxxMTEAGoBOzg4mIcffpjg4GCWL1/Os88+S2FhIa+88goATz/9NAUFBRw9etRzr4vTfV9+/PFHRo8eTceOHZkxYwZlZWW8/fbbDB48mM2bN/t8eHHjjTeSkpLCSy+9xObNm/nggw+Ijo72fP+2b9/OFVdcQe/evXn++ecxmUzs3bvX56pAIRpEEUKctebOnasA1T5MJpPXuoBy7733nnZ/w4YNq3Zf3bt3V/bv3+9Z78svv1QA5fXXXz/t/kJCQpR+/frV+HpBQYECKFdfffUZz1VRFGXLli0KoNxxxx1eyx999FEFUJYvX+5ZlpSUpADKypUrPcuysrIUk8mkPPLII55lU6dOVQwGg5Kbm+tZZrPZlLCwMGXSpEmeZZMnT1bi4uKUkydPeh375ptvVkJDQ5XS0lJFURRlxYoVCqB07NjRs8ytV69eSocOHZSioiLPsp9++kkBlKSkJM+yVatWKYDy8ccfe23//fff+yyv7Xk+++yzCqB8/vnnSlUul0tRFEX597//rWi1WmXVqlVer7///vsKoKxZs8Zn28qGDBmi9O/f32d5YWGhotPplMmTJ3uWdevWTXnuuecURVGUAQMGKI899pjntaioKOXSSy/1PD9w4IACKHPnzvUsu/fee5Xq/gt0rxsZGen1Pf3vf/+rAMr//ve/056D+/tX9aHVapUXX3zRZ/2kpCRlzJgxisPhUGJjY5WZM2cqiqIo6enpCqD8/PPPnp/TX3/91bPd9OnTFUDZtWuXkp2drRw8eFCZM2eOEhAQoERFRSklJSU+xzp+/LgCKLNmzTrtOQghhBCnI/lRJfmxZeTHplLT+3L8+PGKopzKYpW5M9/27du9lj/44INKSEiI4nA4ajze4sWLFUBZsWJFrdq3aNEiZcKECcr8+fOVL774Qpk2bZoSGBiotGvXTjl8+LBnvVdeeUUBvJa5nXfeecr5559/2uO431uLFy/22eeBAwe81j148KCi0+l8Mu/WrVsVvV7vtdzdv++//77PMau+hxVFUaZMmaIEBgYqVqvVs2zMmDFe72G36rJ/3759lejoaCUnJ8ez7Pfff1e0Wq1y++23e5a5v6+Vfw4VRVH+9Kc/KZGRkZ7nr7/+ugIo2dnZPscXorHIlAhCCN59912WLl3q9fjuu+/qtS/3p8jufbzxxhsUFBQwevRosrOzAXX0IYDFYjntviwWi+dSruq4XzvTfty+/fZbAB5++GGv5Y888giAz1xlPXr08FxiDuonx926dWP//v2eZTfddBN2u53PP//cs+yHH34gPz+fm266CQBFUfjss8+48sorURSFkydPeh4jR46koKCAzZs3ex17/PjxBAQEeJ4fP36crVu3cvvtt3t9ejxs2DB69erlte3ixYsJDQ3l0ksv9TpW//79CQ4OZsWKFXU+z88++4w+ffrwpz/9yadf3ZeDLV68mO7du5Oamup13IsvvhjA57hV5eTkVDsy1GKx0Lt3b89ctSdPnmTXrl2eUTGDBw/2fJq9e/dusrOzPaNy6+umm27yaou7fyr3yek8++yznp+DRYsWccstt/D00097Ln2rSqfTceONN/Kf//wHUG82lpCQ4PV9qU63bt2IiooiOTmZSZMm0blzZ7777rtq5/9yn0/VkSJCCCFEfUh+lPzYEvJjU6r8vnQ/Hn/88dNuM2zYMHr06OG1LCwsjJKSEpYuXdpobbvxxhuZO3cut99+O9dccw0zZ85kyZIl5OTk8OKLL3rWKysrA8BkMvnsw2w2e15vDJ9//jkul4sbb7zR63sZGxtLly5dfL6XJpPJ68bBbpXfw+6r1oYOHUppaSk7d+6sc7syMjLYsmULEyZMICIiwrO8d+/eXHrppZ6f8cruvvtur+dDhw4lJyfH8/vDPVL4v//9Ly6Xq85tEqI2ZEoEIQQDBgxotJtGBAUFec1BOmrUKIYMGcK5557LX//6V1599VVPQHYH75oUFRURHR1d4+vuy+HOtB+3Q4cOodVqfe5eHBsbS1hYGIcOHfJanpiY6LOP8PBwr3m8+vTpQ2pqKosWLWLy5MmAejlbu3btPEEzOzub/Px8Zs+eXePdhrOysryeV73bq7tt1d15uXPnzl6Bfc+ePRQUFNTYd1WPVZvz3LdvH9ddd121+6t83B07dnguiTrTcaujKEq1y4cMGcLbb7/NyZMnWbt2LTqdjvPPPx+AQYMG8fe//x2bzeYzf219Ve0Td7Gz6hxuNenVq5fXz8GNN95IQUEBTz75JGPHjq22j8aOHctbb73F77//zoIFC7j55purnVu3ss8++4yQkBCys7N56623OHDggFfIrczdt2fapxBCCFEbkh8lP57pPJs6PxYXF1NcXHza/dckODj4tJfQg+/7sjaqfg9AnS/2k08+YfTo0bRv357LLruMG2+8kVGjRtVp32cyZMgQBg4cyI8//uhZ5s6F1c0HbLVaa8yN9bFnzx4URfGakqGyqtN8tW/fHqPR6LPe9u3bmTZtGsuXL/f58KWgoKDO7XL/HHTr1s3nte7du7NkyRJKSkoICgryLD/d3wIhISHcdNNNfPDBB9xxxx08+eSTXHLJJVx77bVcf/31cqM/0WikYCuEaHL9+/cnNDSUlStXAqfmY/rjjz9q3ObQoUMUFhb6fEJdWUhICPHx8Wzbtq1O7altwarqzSzcqhYVb7rpJl588UVOnjyJxWLhq6++4pZbbvFM7O/+1HXcuHE+c5W59e7d2+t5Q8KTy+UiOjqajz/+uNrXqwbi2p5nbY7bq1cvXnvttWpfT0hIOO32kZGRNRZE3QXbNWvWsHbtWnr16uUJ2YMGDcJms/Hrr7+yevVq9Hq9p5hbX43VJ5VdcsklfP3112zYsIExY8b4vD5w4EA6derEn//8Zw4cOMDYsWPPuM8LL7zQM3fYlVdeSa9evbj11lvZtGmTT1h09617fSGEEKIlk/wo+RFOnx//9re/8dxzz9XpeG7Tp09nxowZ9dr2dKr7HkRHR7NlyxaWLFnCd999x3fffecZHVvdzecaIiEhgV27dnmeu2+ql5GR4dOXGRkZDBgwoNGO7XK50Gg0fPfdd9W+P6oWyKvrq/z8fIYNG0ZISAjPP/88nTp1wmw2s3nzZp544olmG816pvd3QEAAK1euZMWKFXzzzTd8//33LFq0iIsvvpgffvihxu2FqAsp2AohmoXT6fR8At61a1e6du3Kl19+yZtvvlntJWnuu8ye6eZIV1xxBbNnz2bdunVccMEFp103KSkJl8vFnj17vCbxP3HiBPn5+T43u6qtm266ieeee47PPvuMmJgYCgsLvW50ERUVhcViwel01vlT+sptB/UGD1VVXdapUyd+/PFHBg8e3Gifmnfq1OmMf9h06tSJ33//nUsuuaReozhTU1P57LPPqn2t8o3H1q1b57kBCag3TUhKSmLNmjWsWbOGc845p9opASrzxyhTh8MBcNqRILfccgsvvPAC3bt3p2/fvnXaf3BwMNOnT2fixIl88sknPjdbOXDgAFC7G1gIIYQQLYHkR8mPp3P77bfX+6qqjh071mu7+jIajVx55ZVceeWVuFwu/u///o9//OMfPPPMM3Tu3LnRsun+/fu9iuvuPLlx40av4uzx48c5evQod911V52PUVNbO3XqhKIopKSk0LVr1zrvF+Cnn34iJyeHzz//nAsvvNCz3J1ja9OOqtw/B5UL2W47d+6kXbt2XqNra0ur1XLJJZdwySWX8Nprr/GXv/yFp59+mhUrVtT7Z1aIymSsthCiya1YsYLi4mL69OnjWfbss8+Sl5fH3XffjdPp9Fp/06ZNzJo1i549e57xMqrHH3+coKAg7rjjDk6cOOHz+r59+zzzhl5++eUAvPHGG17ruD/Rr27UY210796dXr16sWjRIhYtWkRcXJxXwNDpdFx33XV89tln1YZW99xspxMfH0/Pnj3517/+5VXw+/nnn9m6davXujfeeCNOp5OZM2f67MfhcJCfn1+Hs1Ndd911/P777z53QoZTnzTfeOONHDt2jH/+858+65SVlVFSUnLaY1xwwQXk5eVVO09sfHw8KSkpLFu2jI0bN/rc1XnQoEF8+eWX7Nq1q1bB3R3K6tMX9fX1118DeP0cVHXHHXcwffp0Xn311Xod49Zbb6VDhw6eO9hWtmnTJjQazRn/MBVCCCFaAsmPkh/PlB87duzIiBEj6vVozoJtTk6O13OtVusZHe2eqqCu2bS67/+3337Lpk2bvKZaSEtLIzU1ldmzZ3v9zLz33ntoNBquv/76Op3L6dp67bXXotPpeO6553xGWiuK4tMP1XGPTK28fXl5OX//+9+rbUdtpkiIi4ujb9++zJ8/36vN27Zt44cffvD8jNdFbm6uzzJ3cby66SeEqA8ZYSuE4Lvvvqt2AvdBgwZ5hZmNGzfywgsv+Kw3fPhwT5GsoKCAjz76CFDD3a5du3jvvfcICAjgySef9Gxz66238uuvv/Lmm2+Snp7OrbfeSnh4OJs3b2bOnDlERkby6aef+sx1VFWnTp1YsGABN910E927d+f222+nZ8+elJeXs3btWhYvXsyECRMAtVA2fvx4Zs+e7bncZsOGDcyfP59rrrmGiy66qM5953bTTTfx7LPPYjabmTx5ss/l6H/9619ZsWIFAwcO5M4776RHjx7k5uayefNmfvzxx2r/06/qL3/5C1dffTWDBw9m4sSJ5OXl8c4779CzZ0+vED5s2DCmTJnCSy+9xJYtW7jsssswGAzs2bOHxYsX8+abb9Y5nD322GN8+umn3HDDDUyaNIn+/fuTm5vLV199xfvvv0+fPn247bbb+OSTT7j77rtZsWIFgwcPxul0snPnTj755BOWLFly2rnuxowZg16v58cff6z20/4hQ4bw73//G8BrhC2o71X3DbtqU7Dt378/AA888AAjR45Ep9P5jEhtiFWrVmG1WgE8/fTzzz9z8803k5qaWuN2SUlJDbo8z2Aw8OCDD/LYY4/x/fffewX2pUuXMnjwYCIjI+u9fyGEEMJN8qPkxzNpjvzYGtxxxx3k5uZy8cUX06FDBw4dOsTbb79N3759PaO2+/bti06nY9asWRQUFGAymbj44otrnFN40KBBnHPOOZx77rmEhoZ6fgYSEhJ46qmnvNZ95ZVXuOqqq7jsssu4+eab2bZtG++88w533HFHva68cufop59+mptvvhmDwcCVV15Jp06deOGFF5g6dSoHDx7kmmuuwWKxcODAAb744gvuuusuHn300dPue9CgQYSHhzN+/HgeeOABNBoN//73v6udaqN///4sWrSIhx9+mPPOO4/g4GCuvPLKavf7yiuvMHr0aC644AImT55MWVkZb7/9NqGhofXK3s8//zwrV65kzJgxJCUlkZWVxd///nc6dOjQ4HtpCOGhCCHOWnPnzlWAGh9z5871rHu69WbOnKkoiqIMGzbMa7lGo1EiIiKUq666Stm0aVO1bfjyyy+VSy+9VAkPD1dMJpPSuXNn5ZFHHlGys7PrdC67d+9W7rzzTiU5OVkxGo2KxWJRBg8erLz99tuK1Wr1rGe325XnnntOSUlJUQwGg5KQkKBMnTrVax1FUZSkpCRlzJgxPscZNmyYMmzYMJ/le/bs8Zz36tWrq23jiRMnlHvvvVdJSEhQDAaDEhsbq1xyySXK7NmzPeusWLFCAZTFixdXu4+FCxcqqampislkUnr27Kl89dVXynXXXaekpqb6rDt79mylf//+SkBAgGKxWJRevXopjz/+uHL8+PF6nWdOTo5y3333Ke3bt1eMRqPSoUMHZfz48crJkyc965SXlyuzZs1S0tLSFJPJpISHhyv9+/dXnnvuOaWgoKDac6rsqquuUi655JJqX/vHP/6hAEr79u19Xtu8ebOn/0+cOOH12oEDB3zezw6HQ7n//vuVqKgoRaPRKO7/Dt3rvvLKKz7HAJTp06eftv3u71/lh9FoVFJTU5UXX3xRKS8v91q/pv6vzP1z+uuvv3qWTZ8+XQGq/TkpKChQQkNDvb5/+fn5itFoVD744IPTHksIIYQ4E8mPkh9bWn5sCsOGDVPS0tJqfN2dxSoDlHvvvddn3U8//VS57LLLlOjoaMVoNCqJiYnKlClTlIyMDK/1/vnPfyodO3ZUdDqdAigrVqyo8fhPP/200rdvXyU0NFQxGAxKYmKics899yiZmZnVrv/FF18offv2VUwmk9KhQwdl2rRpPrm0OjW9t2bOnKm0b99e0Wq1CqAcOHDA89pnn32mDBkyRAkKClKCgoKU1NRU5d5771V27drlWed0/btmzRrl/PPPVwICApT4+Hjl8ccfV5YsWeLTJ8XFxcrYsWOVsLAwBVCSkpIURak++yuKovz444/K4MGDlYCAACUkJES58sorlfT0dK91asrY7t977vNctmyZcvXVVyvx8fGK0WhU4uPjlVtuuUXZvXv3GftUiNrSKEoD7qAihBDC7/r27UtUVBRLly71d1MabNWqVQwfPpydO3fWeIdZUXdvvPEGL7/8Mvv27WvUuwELIYQQonVqS/lRCCHaIpnDVgghWgm73e65cZXbTz/9xO+//87w4cP906hGNnToUC677DJefvllfzelzbDb7bz22mtMmzZNirVCCCHEWeZsyI9CCNEWyQhbIYRoJQ4ePMiIESMYN24c8fHx7Ny5k/fff5/Q0FC2bdsmc5MKIYQQQggvkh+FEKJ1kpuOCSFEKxEeHk7//v354IMPyM7OJigoiDFjxvDXv/5VwrYQQgghhPAh+VEIIVonGWErhBBCCCGEEEIIIYQQLYTMYSuEEEIIIYQQQgghhBAthBRshRBCCCGEEEIIIYQQooWQOWybgMvl4vjx41gsFjQajb+bI4QQQgjRqiiKQlFREfHx8Wi1Mr7AXyTTCiGEEELUX0MyrRRsm8Dx48dJSEjwdzOEEEIIIVq1I0eO0KFDB38346wlmVYIIYQQouHqk2mlYNsELBYLoH5DQkJCmvRYLpeL7OxsoqKiZARKPUj/1Z/0XcNI/9Wf9F3DSP81jPRf/dWl7woLC0lISPBkKuEfkmlbB+m7hpH+qz/pu4aR/msY6b/6k75rmObKtFKwbQLuS8ZCQkKaJdxarVZCQkLkB60epP/qT/quYaT/6k/6rmGk/xpG+q/+6tN3chm+f0mmbR2k7xpG+q/+pO8aRvqvYaT/6k/6rmGaK9PKd0YIIYQQQgghhBBCCCFaCCnYCiGEEEIIIYQQQgghRAshBVshhBBCCCGEEEIIIYRoIWQOWz9yOp3Y7fYG7cPlcmG327FarTL3SD20xf4zGAzodDp/N0MIIYQQZ4HGyLPQNjNZc2mrfWc0GtvU+QghhBB1IQVbP1AUhczMTPLz8xtlXy6Xi6KiIrkxRz201f4LCwsjNja2TZ2TEEIIIVqOxsyz7v21xUzWHNpq32m1WlJSUjAajf5uihBCCNHspGDrB+5wGx0dTWBgYIOClaIoOBwO9Hp9mwpozaWt9Z+iKJSWlpKVlQVAXFycn1skhBBCiLaoMfMstL1M1pzaYt+5XC6OHz9ORkYGiYmJbea8hBBCiNqSgm0zczqdnnAbGRnZ4P21xYDWnNpi/wUEBACQlZVFdHS0TI8ghBBCiEbV2HkW2mYmay5tte+ioqI4fvw4DocDg8Hg7+YIIYQQzUomBWpm7jm+AgMD/dwS0Za531+NMaecEEIIIURlkmdFc3BPheB0Ov3cEiGEEKL5ScHWT9rSp9+i5ZH3lxBCCCGamuQN0ZTk/SWEEOJsJgVbIYQQQgghhBBCCCGEaCGkYCuEEEIIIYQQQgghhBAthBRsRa1NmDABjUbj8xg1ahQAycnJaDQaFi5c6LNtWloaGo2GefPm1evYP/30k9cxAwICSEtLY/bs2dW28e677/bZx7333otGo2HChAmeZRMnTsRoNKLVajEYDKSkpPD4449jtVrr1U4hhBBCCNFySZ4VQgghRGsgBVtRJ6NGjSIjI8Pr8Z///MfzekJCAnPnzvXa5pdffiEzM5OgoKDT7luj0XDw4MHTrrNr1y4yMjJIT09nypQp3HPPPSxbtsxrnYSEBBYuXEhZWZlnmdVqZcGCBSQmJvrsc+TIkRw/fpz9+/fz+uuv849//IPp06efth1CCCGEEKJ1kjwrhBBCiJZOCraiTkwmE7GxsV6P8PBwz+u33norP//8M0eOHPEsmzNnDrfeeit6vb7Bx4+OjiY2NpaUlBQeeOABUlJS2Lx5s9c6/fr1IyEhgc8//9yz7PPPPycxMZFzzjnHZ59Go5HY2FgSEhK45pprGDFiBEuXLm1wW4UQQgghRMsjeVYIIYQQLZ0UbFsARVGw2p3N/lAUpdHPJSYmhpEjRzJ//nwASktLWbRoEZMmTWrU4yiKwvfff8/hw4cZOHCgz+uTJk3yGhkxZ84cJk6ceMb9btu2jbVr12I0Ghu1vUIIIUSr5nJBzj5I/wrK8v3dGtEC+SvPNkWmlTwrhBBCtFHWAjj8Cxxc4++WnFHDPyIWDWZzuLjh/XX13FpBUUCjAdDUacvFd1+A2aCr0zZff/01wcHBXsueeuopnnrqKc/zSZMm8cgjj/D000/z6aef0qlTJ/r27Vun49SkQ4cOANhsNlwuF88//zwXXnihz3rjxo1j6tSpHDp0CIA1a9awcOFCfvrpJ591v/32WywWCw6HA5vNhlar5Z133mmU9gohhBCtUmkuZKXDiXTI2g7Zu8BecWl2QDikDPVv+0SL07A8C82ZaSXPCiGEEGcBpwNy98GJ7ZC1Q822BUfV1yI7Q/Jg/7bvDKRgK+rkoosu4r333vNaFhER4fV8zJgxTJkyhZUrVzJnzpwaRyOMHj2aVatWeS1z38wBICkpie3bt3u9vmrVKiwWCzabjQ0bNnDfffcRERHBPffc47VeVFQUY8aMYd68eSiKwpgxY2jXrl217Rg+fDjvvfcepaWlvP766+j1eq677rozd4YQQgjRFjjKIWdPRXE2XQ20RRm+6xkCIbo76E3N30YhGpHkWSGEEKINKs5WBxp4BhzsBme573phCdCuK5U+KW6RpGDbApj0WhbffUG9tlUUBYfDgV6v9wTDuhy3roKCgujcufNp19Hr9dx2221Mnz6d9evX88UXX1S73gcffOB1I4UuXbrw7bff0r59ewAMBoPPNikpKYSFhQFqGF6/fj0vvviiT8AFdWTEfffdB8C7775bY3sDAwPp3LkzGo2GOXPm0KdPHz788EMmT5582vMUQgjRhikKlOVB3gHIOwR5ByHvIJrCY4RiRhPdEcISIaQ9hLaHkA4QGNGiQx+gnldRZqUwmw45e8Fp915Po4HwZIhOU4u0MT0gLBm0MpuWqF5D8iw0b6aVPCuEEOKs4SiHgiNqls1XM60m7xBhJQVo2iVDaAf1EdK+4t/41vHhvN0KJ3dVGnCQDiUnfdczWSC6h5pn3f+aQ5q/vfUgBdsWQKPR1HlqAjdFUXBoFPR6XZ3DbVOaNGkSf/vb37jpppu8buJQmTvIVpaUlERycnKtj6PT6bxCcmWjRo2ivLwcjUbDyJEja7U/rVbLU089xcMPP8zYsWMJCAiodVuEEEK0Qoqihrv8U0VZz8NWVO0meocdSo76vmAIUMNuSDyEJlQUcivCb2Ckf4q55aWQvaMizO5QC7XVzUEbEOZdnI1KBWNQc7dWtGINybPQMjOt5FkhhBCthsMG+RWF2bwDp7JtwTFQXD6r6xx2OJ4Hx3/zfkGjgaCoSgXcisEJ7q/9UcxVFHUqg6z0iukN0tV7K1Q9L40WIjuphdmYilwb0qHVDjiQgq2oE5vNRmZmptcyvV7vc3lW9+7dOXnyJIGBgY16/KysLKxWq+cSsn//+99cf/311a6r0+nYsWOH5+vauuGGG3jsscd49913efTRRxul3UKINqQ4G05shaBodYRlK/mE9qynKFCSDbmVAqx75Gx5cfXbaDRqMA1LUkebhiejWOIozDxEuLYETdFxNTwWHIPiE+ocrzl71UdVerN3Abfyv0HtGqeY63Kp51Z57tm8g+q5V6bVQ7suFWG2h/qvJa7ljw4WopFInhVCnPUUBY5tBoe14oqheNDW/0M30Yzs1oosW2mwQf4hKDxebWEWUD+ED0+BcDXTKqGJFBRZidCXoSk6pmbZwmNqri0vgeIs9VG1mAtqMddTwK0YkevOtAZz45yjtRCyd3rPPVvdQIrAyIrCbEWmbddVHUDRRkjBVtTJ999/T1xcnNeybt26sXPnTp91IyMjG/343bp1A9RQnZCQwJQpU5gxY0aN64eE1L2Qotfrue+++3j55Ze55557CAqSEUZCiAoHVsJPs7wLfAFh6mjKsET14f5agq9/uFxq8TT/kG9x1l5a/TYarRo8w5MrirMpFV8n+I4icLmwa6IgOtr703qnXZ33taAi7BZW+rcoU/2DKGef+qhKb/KeWqFyCA6MrHlUQFmeGmI9YXZH9edoia24BKwizEZ2Ab3cPV6cvSTPCiHOatZC+HkWHFx9aplWr2bXqnlWBif4T3kp5B/2mZ6L4kzfD+PdTBbPIAOvR9UrvVwuHFlZvnlWUcCaX1HAPa5OpVB47FS+LS9WB0CUZMPxLb7HD4qq/kqzkPiaC6kup5rZK889m3/Edz2dEaK6qleEuQccBEW16QEHGkWp6Tst6quwsJDQ0FAKCgp8ApbVauXAgQOkpKRgNjf804eGzPcl2m7/Nfb7rDoul4usrCyio6PRttJLDPxJ+q/+/NJ3Tgds+Af88Yn6PKS9OoF9SXbN27TQ4Ntm3nsul1ogrTyFgXu0gcNa/TZanRoa3eHVPXI2NKHWBcx69Z/TrhZt3UVcT0H3mHoONY2GgIpibnxF4E0Ac6g6gjcrXQ3SVRkCIKqbd5gNjPBdzw/q0neny1Ki+dT0fWiKnNFWM1lzaKt91xx5FtrQ/4t+IH3XMH7pv+xdsHS6mj90BjULFRxRL6eviTm0+jxriQOd/8YAtpn3n6240ojZSsXZ4hM1b2MOrVKUrRhwEBBeqwJmvfpOUcBacCrDFh71HqhQw1RiHkHtvK8wsxWpeTZ7V/XZPbTDqTlnY9IgopNf32+VNVembRlnK4QQQrRUxVnw43NwYpv6vPdNMOAuNTCUl1YU4A6rnwTnH1YfBUfV4OF+XpU5VB29GZbUooJvi+L+hL84G0qyTl2aVXziVL9Wd9dXUIvlYQneQTYsSQ1+Ot8bADU5naHi+53g+5rTof7RVHUUQ2HFyAaHTR11kHug+n2HJ1WaezZNPVcZ2S2EEEKIyhQF0r+Ede+qHyRb4uDS59URiy6XOgih4IhaOKycaUuy1SJd5lb1UZlWVzF1VJVCbljFB8xC5agY5FE1zxZlqMXZ0w0ACQivZsRskrq8uWk06pWFAWFq5qzKWuA9tULlgQq2IvWeESUnIeN3322NwRCdemru2ahU9ThnOfmrUAghhKjJ4fWw4gX10jFjMFw0FZKHnHrdGKgG3aiu3tvVKvgWQOY27+20uopRuUltP/hWnh+rpCK4Vi3O1lSQddMZ1f4JT/IOsiHtW0/RUqevVMwd6P2a06Fe9lZ5FENZrjqCIiZNHUlrsvil2UIIIYRoJcpLYeUrsG+5+jx5CAx/8lSG0GrBEqM+Opzru21DBieEJnrnWUt82xqc4HJBaU5Fjj2h5nxPtq14lOWdeT9B7bzumeApzLam/G8OVR8xPXxfsxZWmlrhiDooQW86NV1XaGKrvTFYU2pDPylCCCFEI3G5YNMc+O0jdURCVDcYMUMtptbGmYJv4THfQq4n+B6pft4mc0jFCIZEdb+GQPVGVoZA9TJ4gxn0ARVfVzz0Aerozua+RNZRfiqolmRXhNjKxdnsmm/0VVVAOATHQHCUeqO34OhT0xpY4tt2uNPp1XMN7YBPMVcIIYQQ4kxy9sGP09VsqdXBwLuh1w21z4ZNNTjBXcg1h1Tk2UrZ1WD2zbl6c/NnPs/VXlUyrDvXlmSpI0ZPN7WVm86oZtjgaDXXBkWp9xgIS1ILs239A3hziPqI7u7vlrQqUrAVQgghKivNhWXPn7orato1cP69jXeTJmMgtOuiPirzCr6HKxVyj6ih0Fqoht6qwfdMNNpKYdeExhBAiEODxhKutsUnGAecCsaGwCqF4ED103CH9dTlXJVHEbhHFdRmJAGo4TQo6lSADYr2Ls4GRcnNsYQQQggh6mPXd7D6dXV6paAodfBBbM/G2ffpBifYy9SBCGcanHBoTd2OqTd5FXU1+gBC7AqakEgwBvgWeN3Ztaacq9VD6clTRdjKBVl3pj3T1V6gZu3g6FOZNqhSYda93Bzapm+OJZqGFGyFEEIIt+O/qcXa0lw1zF34KHQe0TzHrkvwLT0Jdqu63FGm/msvU0OwvVR9zR0wFZc6mrXSiFaDww75TTyXq95UfRG28tfGwKZtQxukKEqbuqmQEEIIIRqZ3Qpr3oRd36rPEwbARU8335yghoCaByeUnvQu4JaXVGTZigzrsJ7Kte5s6x7B6rBV3Bwt/9ShHHbIa+JMGxhRfRHWnXMDI9v2FV9NQPJs7UjBVgghhHC5YMvHsHGOGgojUmDEc+olSi1BTcH3dFzOKoXcMrCXotjLKMrOICzIiMZpqxKQK39dUfitWhB22tXL2YKivacpqFqcNYXISII6UBQFV0kJztxcHCdzcObl4sjJwZmbhyM3B2dOLo7cHFylpZiSkzH36IG5Rw9M3bujCw72d/OFEEII0RLkH4Glz0LufnXk57kToe+4llFQ1GpPZcaqgxNqoijqIASfXGpFKS+l6ORxwoLMFZm2tPrCr6cgXFbxWsW6oF7tVV0R1jN1QTv/3LC2FVPsdhx5eTjz8nDm5ODIycWZW/FvXm7F81y0gYGYe3T35FljUhKalvA+bUGkYCuEEOLsZi2A5S/CkfXq866jYMhD6uVTrZlWB6Zg9VGZy0W5KQuio+sX3p120OhaRvBvJRSnE2d+vnchNicXR14uzpM56r85uSjltbjsDrDt3Ydt7z4KvvofAMakRE/YNffogT7cD3cOFkIIIYR/7VsOP7+iFiMDwuGSZ6B9f3+3qmE0GvWqLb0JAqq85nJRHljPTOtygeKUYmwdKIqCUlqKI1ctuHoVYnNz1eU5OTgLCmq1P2dBASXrfqFk3S8AaIOCMHdP9eRZU8eOaPRnd8ny7D57IYQQZ7cT2+HHGeocVTqjWqhNvdzfrWrZJNh6cZWVnQqsuWrh1ZlXeZRsrhpcXbW4IQWgtVjQR0Sgi4hAHxmBLiISXUQ4+sh26CPC0ZhM2Pbuxbo9HeuOHdiPHqX80GHKDx2G774HwBAf5wm75u490EdHyWVnQgghRFvlKIdf/g7bv1Cfx/WBS6ZDUKR/29WSabWADD5wU1wunPn51RRiT+VbR24uitVaq/1p9Hp0ERGeDKv+G4ku3J1vI3Dm5XnyrHXnDlwlJZRu3ETpxk3qPkwmTN26nrqqrEsXtMaz694WUrAVQghx9lEU2PaZGm5dTgjtAJc+D5Gd/N0y0UI5srMp27qNsh3plB4+zLEyK67cXFxlZbXbgU6HPjwcXWQk+ohwdBGRVQqykegiImoVRA1xcQQPHQqAMz8f686dWNN3YE1Pp/zgQezHM7Afz6B42XL10O0iK4q33TH3SMPQPl4KuEIIIURbUJihDj7I3qk+P2ccnDtJvdJKiCqU8nKse/ZQ9sdWSnftJMNqxZmbizMvv/aDC4KCKgYWeGdYfURERc6NQBsScsasaYiJwZyaqrbL6aT84EFPnrWmp+MqLsb6x1asf2wF1CKwsUvnU5k2NRVtQNVh122LFGyFEEKcXWzF8PMsOLBSfd5xOAx7HIxBfm2WaFkceXlYt23Hun0bZVu34cjMBEABHHY7GAy4Y6g2IACdO7RGRKKLjEDvKchWPEJDm2ReLl1YGEHnn0/Q+ecD4CwuwbZ7l2fEgm3vXpwncyhZuYqSlavUbUJDTo3A7dFD5gwTQgghWqNDa2HFX8BWpM7FevE0SDzf360SLYjidGLbuw/rtm2UbduKbcdOFLu92jyLVosuPKxSllUHFugjwtFVXOmli4hAa278aeM0Oh2mTp0wdepE6JVXoLhc2I8dU/NsRQHXmZeHbcdObDt2UlDRXlPHlEpXlXVHZ7E0etv8SQq2otYmTJjA/PnzATAYDCQmJnL77bfz1FNP8c9//pOpU6eydetWEhISPNvcf//9LFmyhC1bthAY6Hs38Mr7rGzkyJF8/716aWdycjKHDh3iP//5DzfffLPXemlpaaSnpzN37lwmTJhQ53P66aefuPjiiz3PzWYzHTt25MEHH+Suu+7yaeeUKVN4//33vfZx77338ve//53x48czb948n/PS6/V06NCBG264geeffx5zE/yCE6JZOe2Q+QdY4iEkzt+tqZuTe+HH6epdabV6uOBeSPuT3BxL4CwuVgu027ZStm079iNHvFfQajF17owprQelQUFEpKRgaBeFPjKiRX26rwsOIrBfPwL79QPAZbVi27PHM2LBtmsXzoJCSn9ZT+kv6rzN2sBATKmpFQXc7uqcYQaZ+kK0TZJnJc8K4VFwDEqyIKZn65ryyeWEDf+E3/+jPo/uASNmgCXGr80S/qe4XJQfOqQWaLduxZqejlLmPY2BLjQUU8+e2GJiiOjUEUO7durggrCwFvMBvkarxZiQgDEhgZBRI1EUBceJExXFWzXTOk6c8NzXofB/XwNgSEjwDEgw9+iOPiLCz2fSMFKwFXUyatQo5s6di81m49tvv+Xee+/FYDDw5JNP8sUXXzB58mR++OEHAJYtW8Z7773HypUrqw23VfdZmclk8nqekJDA3LlzvQLuL7/8QmZmJkFBpx8Vp9FoOHDgAMnJyTWus3PnTkJDQykrK+N///sf99xzD506deKSSy7xasPChQt5/fXXCaj449xqtbJgwQISExNrPC+73c6mTZsYP348Go2GWbNmnba9QrRoWTvh579C7gH1eUxP6HyJOko1sAX/h6gosPNrWPOWeqdZSyyMeA6iU/3dMuEnrrIydc6srVsp27qN8oMH1feJm0aDMTmZgF49Mffqhbl7d7QBAbhcLuxZWQRER6NtIaH2dLRmMwG9ehHQqxegXgpnO3Dg1IiFnTtwlZZStnkzZZs3A6AxGtU5w7pXzBnWtQvaKv8vC9GaSZ6VPCvOco5y2DwftiwAxaWOTu04HDqPgNjeLfvGqsXZsPx5yPhDfd7rBhg4pXUVnEWjURRFHYm6dStl27Zh3bYdV3Gx1zra4GDMPdMI6KlmWkP79iiKQlZWFoGtJM9qNBoMsbEYYmOxVHxA6cjJOTWFwo4d2I8c8TyKliwBQB8bi7lHdzXTpvVAHx3dqqYFk4KtqBOTyURsbCwA99xzD1988QVfffUVU6dO5cMPP6Rnz568//77jB07lkmTJvHwww8zaNCgWu+zJrfeeiuvv/46R44c8Yx4mDNnDrfeeiv/+te/Gnxe0dHRhFfcVfuBBx7grbfeYvPmzV4Bt1+/fuzbt4/PP/+cW2+9FYDPP/+cxMREUlJSTnteCQkJjBgxgqVLl0rAFa2TwwYb58Ifi9RgawgERxmc2KY+1r4NHc5Vg27ykJY1vYC9DFa9BnvUP75JGgTDp4I5xL/tEs3KVV6ObedOT5i17dnjM1eXISGBgJ5pmHv2xJyW1uYuqwK1GGvu1g1zt25w7Z/UkRgHD5666UN6Oq6iIqxbt2Hduk3dSK/D1KnzqRELqd3QnqZwJURLJ3lW8qw4i53Yrk6NlXdIfW6yqFMK7Pif+giKUgcjdB4BkZ1b1lVYRzepxdqyfDVrD3sCOg7zd6tEM1IUBUdW1qkC7dZtOPPzvdbRBJgx9+hBQK9emNN6Ykz2nfpKqTxIoZXSR0YSPHQIwUOHAOAsKMC6Y6cnz5YfPIgjM5PizEyKl68AQBcZ4RmQYO7RHUOHDi26gCsF25ZAUcBRu7vtVb+tAxR93f8z0Zsb/B9QQEAAOTk5gBri3njjDR544AG+/fZbgoODmTlzZoP27xYTE8PIkSOZP38+06ZNo7S0lEWLFvHzzz83SsB1UxSFJUuWcPjwYQYOHOjz+qRJk5g7d64n4M6ZM4eJEyfy008/nXa/27ZtY+3atSQlJTVaW4VoNplb1WCbX3GJeOcRMOh+cDlg3wrY+6N6o4MjG9SHzghJF6jrJZwPej/ezTP3gHojhryDoNHCgLug900te+SEaBSK3Y5t3z71crCt27Dt2oXicHito4+JUUfQ9uyFuWca+opCx9lEo9Vi6tgRU8eO3nOGVbrpgzM3F9uuXdh27aLgiy+InDyJkMsv93fTRUvTkDzr2d4/mVbyrORZcRawW2HjHNi6WB18EBAOQx+GpCFw/Dc1zx5YCSXZ8PtC9RGWoObZTpeoX/uLy6WOCN48X/1dGdkZLn1OvWmuaPMcOTkVc9CqBVpHdrbX6xqDAVP3VHUEbc9emDp1RKM/+0p9utBQgs4fSND56v97rpISrLt2e/Ksbd9enDm5lKxeTcnq1WgtFhLnfNiyPpSpotV8F93zPlX20ksv8eSTT/qsu3fvXs455xx0Oh35VT5tWLx4Mc888wwHDx6kS5cuzJo1i8sr/dGhKArTp0/nn//8J/n5+QwePJj33nuPLl26NMl5AWq4nTOq3pvrFKV+b7JJ34OhfvPuKYrCsmXLWLJkCffff79n+cSJE5k9ezb/+9//WL9+vc+lYNX5+uuvCQ4O9lr21FNP8dRTT3k3d9IkHnnkEZ5++mk+/fRTOnXqRN++fevV/qrcoxxsNhsul4vnn3+eCy+80Ge9cePGMXXqVM97cc2aNSxcuLDagOs+L4fDgc1mQ6vV8s477zRKe4VoFvYy+PUD2PaZGg4DI2HoI5A8+NQ6vW9QHwVHYe8y2LtULezu/1l9GIMh5UI17Maf07yF0j1LYeXf1N+xgZFwybMQ37f5jl9LitOJq7gYZ1ExruIiXEVFOIuKcBYW4qpY5iwq9ix3FRbiKreh0erU3/1aDRqNtuJrrc9zjVajFqu1WtAAGg1Wmw1nYJDPa5X3iaZiP9XsU2s2oQ0KRhscjDY4CF1wMFqLBW1QMDpLxfKgIDS65rtDseJyUb5/vyfMWnfuRLFWmbMrIsKrQGuIjm629rUWXnOGjbzs1EiO7elYd6jzhpm6d/d3M1u1NptpG5hnofkzreRZybPiLHF8C6x8Rc2rAF1HwgX3nbraqkN/9THkITiyXi3eHlqrZtqNc9VHVGpF8fZiCIpsvraX5sKKF+HoRvV59ytg0AOgb1lTFSmKgmKzqfm12J1bi3EVFar51Z1j3dm2sAhXSYlajNap+VOj1QBV8qxW6513K55rtBoUjQabrZyMwEB1lGR162o16msVzysfQ6PTVmTWSpm2Is96vg4ORmMyNesoTGdBAdbt2ynbug3rtq3Yj2d4r6DTYerahYCevTD36om5Sxc0Rj8OkGmhtEFBBPY7h8B+5wDgstmw7d5TMYVCeouas7cmraZgC/D8889z5513ep5bqrlU0W63c8sttzB06FDWrl3r9dratWu55ZZbeOmll7jiiitYsGAB11xzDZs3b6Znz54AvPzyy7z11lvMnz+flJQUnnnmGUaOHEl6erpMrs+p0Ga323G5XIwdO5YZM2Z4Xv/999/ZvHkzgYGBrFq1igEDBgCwatUqRo8e7VnvH//4h+dT/Ysuuoj33nvP6zgR1UwOPWbMGKZMmcLKlSuZM2cOkyZNqraNo0ePZtWqVV7L0tLSPL9kk5KS2L59u9frK1euJCQkBJvNxoYNG7jvvvuIiIjgnnvu8VovKiqKMWPGMG/ePBRFYcyYMbRr167adrjPq6SkhNdffx29Xs91111X7bpCtDjHNqvBtvC4+rzb5XDB/6mXjVUntAP0Hw/9boecvWrQ3btMHaWw61v1ERihhtzOI9TQ21TBx1EOa99SL2sDaN9fvWtuM8yx6yovVwNptWG18r9FOIuLcLnDaj3U90ImBXDZ7dgq3xW2iWgDA9UAbAlWi7rBFp9A7CnwVjx0QUG1Cp2Ky4X9yJFTBdrt23GVlnofP8SihtmePQno1RN9XFyLvuypJdJoNBhiYjDExGC5+CJ/N6fNkEzrX5JnJc+Ks0R5KWyYDdu/UJ8HRcGFj0Li+dWvrzdCylD1UV4CB1ermfboRvVqsuyd8Mu76iCEziMgeWjTTrGV8Qcsew5KTqpXEgx9BLpe1nTHq6C4XLhKS3EVVim2FhdXDB4owlnkO7BAsdubvG1e7QSczZBpNXp9RZ61qBk2qNLXngJv5UxrQRsUhDYwoFYFQVdJCdb0dMq2bce6dSvlVT7URavF1DEFc1pPtUCbmtqibnjbWmhNJgJ6qX8TtBatqmBrsVjOODfUtGnTSE1N5ZJLLvEJt2+++SajRo3iscceA2DmzJksXbqUd955h/fffx9FUXjjjTeYNm0aV199NQD/+te/iImJ4csvv/S5o2uj0ZvVkQH1oSg4HQ70+npePlZH7tBmNBqJj49Xj1uhvLyc22+/nVtvvZVhw4Zx9913c8UVV9CtWzfOPfdctmzZ4lk3JubUHSyDgoLo3LnzmZur13Pbbbcxffp01q9fzxdffFHteh988AFlZWWe5126dOHbb7+lffv2gHpH4KpSUlI8c36lpaWxfv16XnzxRZ+AC+rIiPvuuw+Ad999t8b2Vj6vOXPm0KdPHz788EMmT558xnMVwm/KS2D9+5D+lfo8OBoufAwSBtRue40G2nVRHwOmQOYfatDd/5M6QmDrp+ojpD10rijehic3XvsLjsHSZ9WisUYD/carj0b49NQzqX96OuWHDqlhtaLo6ixWRwwoNlu9968NDERrsahhzxKCLsSiBj5LcMUn/BZ1mcWi3gBKUdT5pxQFXC4Ul6uiGutUX3MpQKXXXAooLlxOF3m5OYSHhanh1uVS11VcFdtV3Y+6HEVBcTrBpaCU23AWF1cE9WL1/ItLPEVqV8XvYFdpqVpEzcqqU19oTKaKkbsW74JvUDDaoEDKDx7Cun0bzoJC7z4MCMCcloa5Vy8CevXEkJDQ4j85F2enNplpG5JnoVkzreRZybPiLHB0E6x8GYoy1efdr4CB94Ap+PTbuRmD1JG4XUeqGXb/T+pghBPb1IENxzbD6tchYaA6523iIDA00odhiqJOybBhtprPwpPUm+VG+M4zXR+u0lKsO3dh27UTR05updGvFQML3CNf60Gj16tZ1RKs5rgQi3eODa7IuiEhaIOC1ZGylXIoLlc1+bby81PrupxO8nJyCAsLQ+vOxV75t2Jd9z6rZmOnE1dJScVVblUybVERzpJicDhRHA6c+fk+c8WekVaLNihIPV/3KN5KgxgUmw3r9m3Y9h/w6W9jUiLmnmqeNXXvgS64Bd0fRDSbVlWw/etf/8rMmTNJTExk7NixPPTQQ14Ba/ny5SxevJgtW7bw+eef+2y/bt06Hn74Ya9lI0eO5MsvvwTgwIEDZGZmMmLECM/roaGhDBw4kHXr1tUYbm02G7ZKf6QXFqp/QLpcLlxVfvBcFb8s3A+PehRP3RTsYDDUb7RVHSebDgoKolOnTpU2P7X9c889R25uLq+99hqhoaF89tlnTJw4kVWrVmE2m722q7rtmSa9dvfXxIkT+dvf/sZNN91EWFiYZ7vK/RkfH++zfWJiotdddas7XuVlWq2WsrIyn/UURWHkyJGUl5ej0Wi47LLLTnse7ucajYapU6fyyCOPcMstt3juyttU3P1R3Xuwsbjfy021/7auRfbfkfVoVr2qjooFlO5XqXO+GoPqHdqI7a0+Lrgfjv6KZt9yOLQaCo/B5n+rj8hOKJ0qLjELPvMl6jX23YGVaH6eBfZSMIeiXPQ0dDjPvVGdm664XNgPH1Ynrt++HduOnTgLC8+4nUarrfjUPdi76FoRWj1B1aIWX93TCTTX9AEulwtddjamqKgmuyus4nDgKinBVVxSEXyL1fBbUhGIi4pxlVRMA1FS7AnGrtISFJd6SZ3LZsORk3va42hNRkyp3dXRBmlpGFNSvPpRQf0+NqYW+bPbStSl79p6/7b2TNsUeRaaL9NKnpU8W5n8Xq+/Ftl35cXwy/todn2jPrfEogx9VL3iCuqXac1h0OMa9VGUAfuWo9m3TL1XwsHV6sMQAElDUDpfoh5Le+ZSS7X9ZytE89MsOFzxQV3nEShDHlJv+FvPfnYWF2PbuVOdxzN9B+UH9ld8sH96WrNZLbhWZFmvgQSWkFN5Nti9zILGbG62q5ncmdbcRJlWURQUq1XNriUlFaOMS9QpzEpKTuXZStnW86+tHFwudZqzoqIzHssQF6fe9LZnT8xpPdCFhvqca2NqkT+7rUhzZdpWU7B94IEH6NevHxEREaxdu5apU6eSkZHBa6+9BkBOTg4TJkzgo48+IiSk+ssSMjMzvT4JB/WT8czMTM/r7mU1rVOdl156ieeee85neXZ2NtYq8+e5L71yOBw4qtz8pD4URcHpdAI0+S9Gd1iqrt0bN27k5Zdf5r///S9BQUE4HA7eeecdzjnnHF599VUeeuihGvdptVo5evSo13K9Xu91aZb7uF26dCEjI4PAwECvdtTULrea+tu97NixYxQXF2Oz2fj111/56KOPuPbaaz2vVz33P/74A6i4S6PD4fN6dX31pz/9iccff5y3337b54+sxuZuU05OTrUjMBqDy+WioKAARVGarOjTlrWk/tOUFxP4xzzMh5YD4AyKobjf/+GI7gX5JUD9Ltn3EdAZenaG1NsxZvyK6fAqDCd+Q3NiJ5zYCWvfwR7ZA1viUMrbX4Biqv53uU/fOe0EbvuIgL3qFAj2yFSKBz6CyxhZp5GditOJ68gRHLv34NyzG+fefShVpyswGNB17IiuYwrakBA0QUFogoPVR1AQmqBgCPANqq6KR7XKy6HiZjfNoVnfewY9hIerj2poAF3FAyqKq1YrSklJxaMUpbSk0vMSlNIytO0i0XVLRZeSjEavxwbYoFn6sSX97LY2dem7olr8cdNatYVM29h5Fpov00qelTxblfxer7+W1neGjI0Eb/4HWquaB6wdR1PSc5xaTK3j1T4100H8pRB/KbqCQ5iOrMZ4ZBW60izY+S3s/BaXMYTyDoOwJVyII7KrOn9qNar2ny53L5b1f0NXmoWiNVLSZxK2lEshrxgornULXYWFOPfuxbl7N47de3AdO+bzoZY2qh26Ll3RxsSgCQ46lWkr8qwmOMjnxlUK4Kx4VKuoSH00k2Z9/wUGqo+Y6l/WVjzcFLu9+hxbaRmKgr5zZ3TduqEND8eJ+ldXic3WiO/X6rW0n93WprkyrV8Ltk8++SSzZs067To7duwgNTXVKxD07t0bo9HIlClTeOmllzCZTNx5552MHTu22on1m9rUqVO92ldYWEhCQgJRUVE+QdtqtVJUVIRer/caSdFQTRli3LRaLVqt1qfdNpuNyZMnM2HCBK95vRISEnjrrbe44447uOqqq+jWrVu1+1yyZAmJiYley7t168aOHTu81nMft+ofH1Vfr05N/e1e1qtXL8/zhIQE7rrrLmbMmOF5veq5V52TrOrr1fWVXq/n3nvv5dVXX+Xee+8lKKjpLmvQ6/VotVoiIyObbJ46l8uFRqMhqglH6bVlLab/Dq1Bs/p1KM0BgxEl7Tp0504iop43JKy1+ETofx1YC9SRsfuWQcbv6Av2ELB1D2ybDx3ORel0iXqTM0OgZ1OvvivNRrPsL5CVDnoDSu+b0Z03GXMtRjUodju2/fuxpas3UrLt3ImrUkFCB2gtFkzdumHu3h1TWg9MHTu2+kn9W8x7r5WS/qu/uvRda5tj9WzLtE2VZ6HpM63kWcmzVcnv9fprMX1nK0Sz9h315rcAEckoFz5OUFxvmvRC8uho6HIeKH+GrO2wdxma/T+BNR/j4WUEH14GwTEonS6GTpdAREevKV88/deuHdqdX6H55T1w2SE8EWXEDELbda1VMxy5uWqe3Z6OdccO7MeOeV7TAlq9HkN8HOYeaZh7dMfUowf6yGa8cVoTaTHvv1ZI+q5hmivTapQzXbvThLKzs8k5w2iYjh07Yqzmj+Pt27fTs2dPdu7cSbdu3QgLC6O4+NSnTu7hyTqdjtmzZzNp0iQSExN5+OGH+fOf/+xZb/r06Xz55Zf8/vvv7N+/n06dOvHbb7953a112LBh9O3blzfffLNW51VYWEhoaCgFBQXVFmwPHDhASkpKowQP9yfier1ebqRSD221/xr7fVYdl8tFVlYW0dHR8ku+Hvzef2X56o259i5Tn4clwLAnIdaPk7AXZ8G+5WqbTu4+tVxvgqTB6ny3CQNwaXRq39kOoF3xItiK1JuhDZ+qFndroJSXY92zB+v27eolYbt2o5SXe62jDQzE3KM75h49MPfogbFjx2abqqC5+P2918pJ/9VfXfrudFmqJTrbMm1T5Iy2msmaQ1vtu+bIsyC/1xuiRfTd/p/VuWTL8tSRrL1vhP4TG28+2bpyOeHYJvUeDgdWqVN1uYUnq3m28wgIiVP779ghYnbOR7N/hbpOylA1k59mrl37iSys6WqetabvwFHNlRPGpERPnjX36IEuLKxxz7MFaBHvv1ZK+q5hmivT+nWEbVRUFFFRUfXadsuWLWi1WqKj1fkO161b57mMCuC///0vs2bNYu3atZ7J+S+44AKWLVvmFW6XLl3KBRdcAKgT9cfGxrJs2TJPuC0sLGT9+vXVTtYvhBCtjqLA/hWw5k21aKvRQp+b1WCr9/PI0eBotS19boa8Q7BvmVq8LTiqFnL3LVcLsykXEmh1ojlYcXObqFQYMQNC4rx257Jase3aRdn27dh27MC2ew9KlUtJtSEWNch274E5rQfGpCS5SZUQos4k0wohRDMrzVXz7P6f1OfhSWqhM6aHX5uFVqferDdhAAy1weF1avH28C+QdxB+/UB9xKRB0hDC/vgcrNnqdgPvgV7Xe43CVRQFR0ZGRXFWHUXrOHmyyjG1GFOSPXnW3L07Ooulec9bCNHoWsUctuvWrWP9+vVcdNFFWCwW1q1bx0MPPcS4ceM8d0Lt3r271zYbN25Eq9XSs+ep0WIPPvggw4YN49VXX2XMmDEsXLiQjRs3Mnv2bECdL+vPf/4zL7zwAl26dCElJYVnnnmG+Ph4rrnmmmY7XyGEaBKlueoIhAMr1ecRKWqwjU71b7uqE54E505SC8nZu9Sgu285lOag2fkNAQ476A2Q9ic4//9Ab8RVUoJ15071crD0dGz794PTe5YtXVgY5rQ0tUib1gNDhw5tajSSEKJlk0wrhBANpCjqh/pr3gRroTr4oO9Y6Dfe/4MPqtKboONw9WErUkfc7v0Rjv8GJ7ajObEdncMOoXEw4jmI7ane9PboUfWKsIpM68zP996vToepUydPnjV364a2CacnEUL4R6so2JpMJhYuXMiMGTOw2WykpKTw0EMP1Xmi+0GDBrFgwQKmTZvGU089RZcuXfjyyy+9AvDjjz9OSUkJd911F/n5+QwZMoTvv/++1c2lJoQQHooCe5aqUyDYitRP8M8ZB+fcBrqmn/+6QTQataAcnaoWZjN+Q9nzI46jv0PPWyi3xWD99wKs6emUHzzoc/dcfbt2apCtuBxMHxcnBVohhN9IphVCiAYoOQmrXoNDa9TnkZ1h+JPQrot/21UbJgukXq4+SnLUK972rcDqMmNIvQ3bxkNY07/Dmp6Oq8pNijR6PaauXdVpu9LSMHXtilZ+lwvR5vl1Dtu2SuawbT3aav/JHLYtX7P1X3E2rHpVvRwL1EA77Elo17npjtlEFJcL2969lPyynrx1a9FmZVP1p1YfF4u5e3fPKFpDxSXG4hT52W0Y6b/6a8tz2LZVModt69BW+07msG35mq3vFAV2fw/r3q0YfKCHfrerI2tb+uCDajiLiij9dSMl69dTtGULOofDK9NqjEZMqd1OzUHbpUurv+ltU5Cf3fqTvmuYs2IOWyGEEE1EUWDnN/DL36G8RA2z/cZDn1tA13p+9SsOB9b0dErWr6d0w684c3NRAJfdjtZgwNChQ8XlYGmYu6e2iTveCiGEEEKICkUnYNXf4MgG9XlUKgx7HCI7+bdddeTIyaF0wwZK1q/Huj0dXC4UQLHb0Vos6oCDiikOTB07ojG0vkK0EKJxtZ6/2oUQQtROYQasfEW9Qy1AdA812Eak+LddteSy2Sjb8jul69dTumkTrkp3S9cEmAk8px/lXbsQO3gwhogIP7ZUCCGEEEI0CZcLdv4Pfnkf7KWgM6r3N+h9ozq9VytQfvSYmmc3rMe2d5/Xa8akJAIGnEdZcjKx/fujkwKtEKIKKdgKIURb4XJB+pewYTbYy9RgO+BO6Hk9tPBLXZzFxZRt2kTJ+g2U/fYbSnm55zVdaAgB555L0PnnE9CzJ4peT1ZWFrqwMP81WAghhBBCNI3C4/Dzy+rNuQBiesLwJyAs0b/tOgNFUSjft4+SDRsoXb8B+9Gjp17UaDB160rQwIEEDhyIISYGl8tFeVYWGl3rKEALIZqXFGyFEKItyD8CK1+GjD/U53G94cLHISzBv+06DUduLqUbfqVk/S/qpWFOp+c1fVQUgQMHEjjgPMzdu6OpVHBWqtxYTAghhBBCtAEuF2z/HDb8ExxW0JtgwF2Qdm2LHXygOJ1Y03dQumE9JRs24DyZc+pFvY6Anr0IHDiAwPPOQx8e7r+GCiFaHSnYCiFEa+ZywdbF8OsH4CwHQ4AabHtc0yKDrf34cc+oA9vu3V6vGRISCDp/IIEDBmJMSW5TN04RQgghhBCnkX8YfpoFJ7apz+P7qoMPQtv7tVnVcZWXY/39d0rWb6B040ZcRUWe1zRmM4Hn9FUHHvTrhzYoyI8tFUK0ZlKwFUKI1ir3gHq5WFa6+rx9f7jwMQiJ82+7KlEUhfIDByld/wsl6zdgP3LE63VT164EDhxA0IABGOLj/dRKIYQQQgjhFy4n/PEJbJxTMfggEM6/G1KvbFGDD1wlJZRu3qzOSfvbFhSr1fOa1mIh8LxzCRowAHOfPmiNRj+2VAjRVrSc34CiRbvyyisZNWpUta+tWrUKjUbDH3/8gUaj8TyMRiOdO3fmhRdeQFEUz/ozZszwWs/9SE1N9awzfPhwNBoNf/3rX32ON2bMGDQaDTNmzKjXuRw8eNBzTK1WS1BQEF26dKmxndWd9yuvvIJGo2H48OHVnpdOpyMhIYG77rqL3NzcerVTiBq5XPDbR/D5nWqx1hikFmrHvNoiirWKy0XZ9u3kzJ3H0Xv+j+OPPUb+p5+pxVqdjoA+vYm8804S/jmb+Jf+Qtg110ixVgghRJOTPOtN8qzwu9wD8OX/wfr31WJtwgC4YR70uLpFFGsdeXkU/vADmTNf4NCkSWS/8SYl635BsVrRtYsk5PLRxM6YQeKHHxB1770EnneeFGuFEI1GRtiKWpk8eTLXXXcdR48epUOHDl6vzZ07l3PPPZeQkBAAfvzxR9LS0rDZbKxevZo77riDuLg4Jk+e7NkmLS2NH3/80Ws/er332zEhIYF58+bx5JNPepYdO3aMZcuWERd3+qJUcnIy8+bN8wqgVf3444/06NGDkpISfvnlF+68806fdsbFxbFixQqf854zZw6Jib6T3rvPy+l0smPHDiZNmkRBQQGLFi06bXuFqDV7GSx/AQ6uVp8nng9DH4XgKL82Sykvp2zrVkrWr6ds40acBYWe1zRGIwHnnEPQwAEE9O+PLjjYjy0VQghxtpI8K3lWtCBHNsDS6WAvBWMwDLoPuo4CP0+JZT9xgtL16ylZvx7brt1Q6QMQQ4cOnivDjJ06yfRdQogmJQVbUStXXHEFUVFRzJs3j2nTpnmWFxcXs3jxYl555RXPssjISGJjYwFISkpi7ty5bN682Ss46vV6zzqnO+Ynn3zCmjVrGDx4MADz58/nsssu4/Dhww0+J3c7HQ4HnTp1Yt68eT7tjI6Opn///syfP5+nn34agLVr13Ly5EluuOEG0tPTvfZZ+bzat2/PDTfcwNy5cxvcViEAKMmBJU9B9k7QGWDIw9BttN+Crau0lNLNv1VcGrYZpazSpWHBwQT270/gwIEE9O2D1mTySxuFEEIIN8mzkmdFC5H+X1j9BiguiOsDlzwLQe380hRFUSg/eJDSDb9Sun495YcOeb1u6tyJwAEDCRw4EGOHljefrhCi7ZKCbQugKAo2p63e2zocDvTo6/wJn0lnqvU2er2e22+/nXnz5vH00097tlu8eDFOp5NbbrmFvLw8n+02btzIpk2buP322+vUNgCj0citt97K3LlzPQF33rx5vPzyy/W+fKwmp2vnpEmTePzxxz0Bd86cOdx6661n3OfBgwdZsmQJRrksRjSGnH3w/ZNQnAXmELjsRYjr3eiHURQFxWbDVVyMs6gIV3Hxqa+LinGVqF87c3Kwbk9HcTg82+oiIggccB5BAwdi7tEDjV7+ixFCiLNFQ/Kse/umzrSSZyXPCj9zudTpD/6oGK3ddaQ6rZfO0OiHUpxOXCUluIqKcFbkWTXTFuMqLvJ8bduzB8eJE6c21Goxp/UgaOBAAgcMQB8Z2ehtE0KI2pC/plsAm9PG+O/H13t7RVHqdTnG/FHzMevNtV5/0qRJvPLKK/z888+eS7Pmzp3LddddR2hoqCfgDho0CK1WS3l5OXa7nbvuussnOG7dupXgKpdFjxs3jvfff9/nmEOHDuXNN99k06ZNFBQUcMUVVzRKwK1NO0EdGXH33XezcuVK+vfvzyeffMLq1auZM2eOz7ru83I6nVgrJqJ/7bXXGtxWcZarfMlYaAcYPUv99zQURUGxWn2DaXGxWngtLjr1dUnFOhUF2spF2DMxxMdVjDoYgKlzZzQtYL4xIYQQza+heRaaJ9NKnpU8K/zEboUVL8CBVerzcydBv9vPeKWY4nSeKrYWF58qwFbNs8UVmbawYsBBaWmtm6YxGAjo25fAgQMIPPdcdBZLQ85UCCEahRRsRa2lpqYyaNAg5syZw/Dhw9m7dy+rVq3i+eef91pv0aJFdO/eHbvdzrZt27j//vsJDw/3uuFCt27d+Oqrr7y2c88ZVlmfPn3o0qULn376KStWrOC2227zmRsM4O677+ajjz7yPC8tLWX06NHodDrPsuLiYp92pqamUlZWxs6dO3nggQd82glgMBgYN24cc+fOZf/+/XTt2pXevasf2eg+L6vVykcffcSWLVu4//77q11XiFpJ/wpWv37qkrHLXkDRB1Kyeg2OE5mnCrJFRThLinEVl+AqLMRZUgwOZ/2Pq9ehC7agtVjQWYLRBgWjtQSjs1g8X5u7d8fQoYPM3yWEEKLVkDwreVb4QWkufD/11LRew56ELiOwHztG6ebf1MKru+hauQhbVISrrKxBh9YGBqINDkYXUpFhg70zrT46moA+vdGaaz+QSQghmoMUbFsAk87E/FHz67Wt5/Ixff0uH6uryZMnc//99/Puu+8yd+5cOnXqxLBhw7zWSUhIoHPnzgB0796dffv28cwzzzBjxgzMFf8Ruu+4WxuTJk3i3XffJT09nQ0bNlS7zvPPP8+jjz7qeT58+HBmzZrFwIEDa9yvu50Oh4NevXqxf/9+n3ZWbsPAgQPZtm0bkyZNqnGflc/rr3/9K2PGjOG5555j5syZtTpXITxcLtjwD/h9ofq8y2UoQx+l7I9t5M7/F/Zjx2q1G41ej9ZiUYNqDYVXXcXr2uBgdMHBaC0WNKbaT5kihBBCNCTPQvNmWsmzkmdFM8rdD989CcUnPNN6OYOSyf/gAwqX/KBm3lrQBgZWGUhQ8XWw+lwX4ptntUFBaCp94CGEEK2JFGxbAI1GU6epCSpTFAUH9Qu39XHjjTfy4IMPsmDBAv71r39xzz33nPG4Op0Oh8NBeXm5T3CsjbFjx/Loo4/Sp08fevToUe060dHRREdHe57r9Xrat29f6xB9pnampaWRlpbGH3/8wdixY2u9z2nTpnHxxRdzzz33EB8fX+vtxFmumkvGyiOHkfvSLMp+/wMAbYjFc8mWNtiCNjjIu/Ba8bUUXoUQQjSHhuRZaN5MK3lW8qxoJkd+hR+nQ3kJhHZAufRFCtduJX/xq7hKSgAw9+6FsX37igxbqQhbKc9K4VUIcTaSgq2ok+DgYG666SamTp1KYWEhEyZM8FknJyeHzMxMHA4HW7du5c033+Siiy7yukTM4XCQmZnptZ1GoyEmJsZnf+Hh4WRkZGAwNO5k9O52Wq1WduzYUW07K1u+fDl2u52wsLBaH+OCCy6gd+/e/OUvf+Gdd95ppJaLNq3KJWPOfveTtyGTomWPg8uFRq8nZMwYwq67Fm1QkL9bK4QQQrQ6kmclz4pmUGlaLyW2N6URfyJ3+t9wZKg/M8bkZCImjCegVy8/N1QIIVomKdiKOps8eTIffvghl19+ebWfso8YMQJQP+GPi4vj8ssv58UXX/RaZ/v27cTFxXktM5lMnhsbVFWXUFlbtWlnZUH1LI499NBDTJgwgSeeeIKEhIR67UOcJSpdMqYYLBRoRpL/2mKUMvXnIuiC8wm/7TYM1fwhKIQQQojakzxbN5JnRa1VmdbLFjKQ3I1GrOl/B0AXGkr4rWMJvugiuVmtEEKchkZRFMXfjWhrCgsLCQ0NpaCgwOfTbavVyoEDB0hJSanX5VRVNWS+L9F2+6+x32fVcblcZGVlER0djVbCVp359F/FJWOKrZiSnFDyDrbDkVsEgKlzJyLGj8dcwyWUZxt57zWM9F/DSP/VX1367nRZSjSfmr4PTZEz2momaw5tte+aI8+C/F5vCJ++s1thxYtwYCWOMhd52akU78oHRUFjMBBy1ZWE/elPaAMC/N30FkHeew0j/Vd/0ncN01yZVkbYCiGEv1VcMmbLLidnpxlbiR40RegiI4i49VaChg6VEQhCCCGEEKLlqpjWy5Wxg4JddgqORqBo8gAIGjKEiHG3oo+K8nMjhRCi9ZCCrRBC+IvigvX/wLFuAbm/l1KSYYbgMDRmM6FXX03o1VehbcIRJUIIIYQQQjRY7gGU75+kZNsRcv+w49THgiEAU9euREyYgLlbV3+3UAghWh0p2AohhD84rASunEX+z+so3GFFMUeApR3Bw4cTPvYW9JGR/m6hEEIIIYQQp2U48Tu2714mb30utnwthLZHHxNP+G23ETR4UJuapkMIIZqTFGyFEKKZKcUnKX5zCnk/78Zl04AlFvM5A4mYMAFTp07+bp4QQgghhBBn5Fi7gPL3XqXwiAMMAWjiOhF23fWEXHklWqPR380TQohWTQq2QgjRjMrWLSX31WcpzyrGpdFg7NSbiLvuI3DgQBmBIIQQQgghWjxXcTH5bzxG4bLVuJwKGnMolqtvIWzsrejDw/3dPCGEaBOkYCuEEM3AnpFB7t//RumqH8HlQhNgxnjtOOLHT0En89QKIYQQQogWTnG5KPrhe/Lfm4UzLxcAXbduxDz5Mma5SkwIIRqVFGyFEKIJOYtLKPjsUwo+WwAFxwGw9E8m9Il3yMGERi4XE0IIIYQQLVzZH3+Q+8FsyrevB7sVQ6iesIl3UHTBtRhjYvzdPCGEaHOkYCuEEE1AcTop+uEH8hYuwnXiAJTmEhBvIOLaSzFeOxOXVg9ZWf5uphBCCCGEEDWyHztG7r/+Ren6tVBwDK3eQdj5EYTc9ypKh34US54VQogmIQVbIYRoZKWbfyN3/nzsR45AUQYGcykRF1kIvPJO6D8BNBpwufzdTCGEEEIIIarlLCoi/5NPKFzyA1iLoOg4IZ0NhA3uiu6aVyAsAUXyrBBCNBkp2AohRCMpP3yY3Pn/omzLFnA50JafILy3C0vXCDQXPQldL/N3E4UQQgghhKiRYrdT+P0S8j/9FFdxMVgLCAzLI2JoMIaufWHki2AO9XczhRCizdP6uwGi9ZgwYQIajQaNRoPRaKRz5848//zzOBwO3nvvPcLCwjhy5IjXNvfffz9du3altLTUa/mrr75KeHg4VqvV5zilpaWEhITw1ltvAZCcnOw5rk6nIz4+nsmTJ5OXl+fZ5qeffvKsU/WRmZkJwIwZM9BoNIwaNcrnmK+88goajYbhw4fXu3/q0s7qzv3XX3/1bF/TeUVFRXH55ZezdevWerdTND5nQQEn/zGbY488qhZrcRCaWESHUXpCekWhufI1KdYKIYQQLYDk2dOTPHv2UhSFkg0bOPbww+TOm4eruBhjsJ3YASXEXBiEof8oGPOaFGuFEKKZSMFW1MmoUaPIyMhgz549PPLII8yYMYNXXnmFu+++mwEDBjB58mTPusuWLeO9995j3rx5BAYGeu3ntttuo6SkhM8//9znGJ9++inl5eWMGzfOs+z5558nIyODw4cP8/HHH7Ny5UoeeOABn2137dpFRkaG1yM6OtrzelxcHCtWrODo0aNe282dO5fExMTTnvuECROYMWPGadepbTstFgtffPGF17IPP/ywxja4z2vJkiXYbDbGjBlDeXn5adsimp5SXk7+l19y9N77KPrhB3C5CExLpsOFpUT0cKCLSoRr3oP4vv5uqhBCCCEqSJ6dcdp1JM+efWwHDpD53HNkzXoZ+/EMdCEW2l0QSvwFeQTEGtQpvS56GvRys1whhGguUrAVdWIymYiNjSUpKYl77rmHESNG8NVXX6HRaPjwww9Zv34977//PoWFhUyaNImHH36YQYMG+ewnOjqaK6+8kjlz5vi8NmfOHK655hoiIiI8yywWC7GxsbRv356LLrqI8ePHs3nz5mr3Gxsb6/XQarVer1922WXMnz/fs2zdunWcPHmSMWPGNLR7at3O8ePHe517WVkZCxcuZPz48dXu131e/fr1489//jNHjhxh586dDW6vqL/SzZs5+uCfyfv3R7jKyjB27EjsxBHEJGzGYLZBbC+4+l0IS/B3U4UQQghRieTZ05M8e/ZwlZaS/fe/c/yxx7Fu3YbGYCD0ipF0GGXAYtmLRmdQC7XnTlTvwSCEEKLZSMG2BVAUBZfV2uwPRVEa3PaAgADPJ+MJCQm88cYbPPbYY4wbN47g4GBmzpxZ47aTJ09m+fLlHDp0yLNs//79rFy50mtkQ1XHjh3jf//7HwMHDqxXmydNmsS8efM8z+fNm8fYsWMxGhv3E+PTtfO2225j1apVHD58GIDPPvuM5ORk+vXrd9p9FhQUsHDhQoBGb6+oPUdeHlkvv4IjKwtdRATt7v0/4q/tSMCx/4DLCV0uVS8ZCwjzd1OFEEKIZuGvPNsYmVbybM0kz7ZteQsXUbxsOSgKQYMH0/65R4gwLUObvwtMFhjzqkzrJYQQfiI3HWsBFJuNQ7eOO/OKNW2vKF7zRNVW0scfoTGb633MZcuWsWTJEu6//37P8okTJzJ79mz+97//sX79ekwmU437GDlyJPHx8cydO9dzada8efNISEjgkksu8Vr3iSeeYNq0aTidTqxWKwMHDuS1117z2WeHDh28zzEpie3bt3stu+KKK7j77rtZuXIl/fr149NPP2XVqlXMnTu3rt3go7btjI6OZvTo0cybN49nn32WOXPmMGnSpBr36z6vkpISAK666ipSU1Mb3F5RP7Zdu1Dsdgzx8cS/NBPtulfhj5/VF/tPUB8yCkEIIcRZpKF5Fpo/00qerZ7k2bOHdZs6j3C7/7sHS7cwWPoslBdDaAcY9Ve5UkwIIfxIRtiKOvn6668JDg7GbDYzevRobrrpJq95sH7//Xc2b95MYGAgq1at8ixftWoVwcHBnsfHH3+MTqdj/PjxzJs3Tx2V4XIxf/58Jk6c6HXZF8Bjjz3Gli1b+OOPP1i2bBkAY8aMwel0eq23atUqtmzZ4nl8++23PudgMBgYN24cc+fOZfHixXTp0oXevXv7rPfxxx/7tPkvf/mL17LK51iXdsKpkRH79+9n3bp13HrrrTX2+6pVq9i0aRPz5s2ja9euvP/++zWuK5qebfceAMxdUtAufRL2/wxavVwyJoQQQrQCkmclzwpwlZVRfkSdBzkg+CR895harJVpvYQQokWQEbYtgMZkIunjj+q1raIoOBwO9Hp9nUckaE4zWqAmF110Ee+99x5Go5H4+Hj0+lNvofLycm6//XZuvfVWhg0bxt13380VV1xBt27dOPfcc9myZYtn3ZiYGEANeS+99BLLly/H5XJx5MgRJk6c6HPcdu3a0blzZwC6dOnCG2+8wQUXXMCKFSsYMWKEZ72UlBTCwsLOeB6TJk1i4MCBbNu2jQkTJlS7zlVXXeV1+dcTTzxB+/btvW660L59+3q1E2D06NHcddddTJ48mSuvvJLIyMga2+s+r27dupGVlcVNN93EypUrz3ieomnY9uwBpw1Tzg9gKlUvGbvsBbm5mBBCiLNWQ/IsNG+mlTwreVaAbd9+cLnQ6UrQb/m7urDzCBj2hNxcTAghWgAp2LYAGo2mQVMTaB0OtPUIt/URFBTkCXBVPf/88+Tm5vL6668TGhrKZ599xsSJE1m9ejUBAQHVbtepUyeGDRvGnDlzUBSFESNGkJSUdMZ26HQ6QL25QX2kpaWRlpbGH3/8wc0331ztOhaLBYvF4vU8IiKixvOvazv1ej233347L7/8Mt99912t93nvvffy0ksv8cUXX/CnP/2p1tuJxqE4ndj27oH8I5gCgyA0WS4ZE0IIcdZrSJ6F5s20kmclz4qKAQilOZgiCoFgmdZLCCFaGCnYikbx66+/MmvWLL755htCQ0MB+Mc//kHPnj15/fXXeeSRR2rcdvLkydx5550AXjdPqKyoqIjMzEwUReHIkSM8/vjjREVF+dyxNysrC6vV6rUsMjISg8Hgs8/ly5dTXl5OcHBwXU71tGrbTreZM2fy2GOPnXY0QlWBgYHceeedTJ8+nWuuuaZZCvXilPLDh1GKctDoXBg6dFAvGZObiwkhhBCtnuTZurXTTfJs62TbvQusBZja6eGCe6H3jf5ukhBCiEpkDlvRYDabjfHjxzNx4kQuu+zUXUTj4uJ4++23mTZtGrt27apx++uuuw6TyURgYCDXXHNNtes8++yzxMXFER8fzxVXXEFQUBA//PCDTzDs1q0bcXFxXo9NmzZVu8+goKBaXW5WF7Vtp5vRaKRdu3Z1Dqn33XcfO3bsYPHixY3RbFEHtj17wFaEKVKPptsoKdYKIYQQbYDk2bq3003ybOujKAq27b+D0445JhC6X+nvJgkhhKhCoyiK4u9GtDWFhYWEhoZSUFBASEiI12tWq5UDBw6QkpKCuQGXjbk1ZL4v0Xb7r7HfZ9VxuVxkZWURHR3tc1ONtiz7zdcp/nwuoT1MRLz4CUSk1Gs/Z2v/NQbpu4aR/msY6b/6q0vfnS5LieZT0/ehKXJGW81kzaGt9l1z5Fk4O3+vO06e5Mi466Asl6QnrkZ7+Qv12s/Z2HeNSfqvYaT/6k/6rmGaK9PKd0YIIerA9sd6UBRMyR3qXawVQgghhBDCX2y7d4OtCGOYDm3qiDNvIIQQotlJwVYIIWrJVVqK/fAhAEwDLzvD2kIIIYQQQrQ8tt/WgNOOKdoMCef7uzlCCCGqIQVbIYSoJVv6H1Begj5Ii77PaH83RwghhBBCiDqz/b4eAFP33mBouukmhBBC1J8UbIUQopZs679Xp0PoEAnhyf5ujhBCCCGEEHWiOBzYDhwA5IoxIYRoyaRg6ydyrzfRlOT91TRsf/wKgKlnfz+3RAghhPA/yRuiKcn7q2mUb/kJxVaO1qjDcO7l/m6OEEKIGuj93YCzjcFgAKC0tJSAgAA/t0a0VaWlpcCp95toOKWsANvBowCYzpfpEIQQzcPudHEop5S9WUXszSrmWH4ZZoMOi9lAiFlPiNlAsFmPxaz3LAuuWG7Sa9vUHeNFyyF5VjSH8vJyAHQ6nZ9b0rbY1n0LgDElAY0p0M+tEUKcLXJLytmbVex52BxOLGYDFrOekIocazHrCTbpCQkweLKtxaRHqz0786wUbJuZTqcjLCyMrKwsAAIDAxv0x5SiKDgcDvR6vfxRVg9trf8URaG0tJSsrCzCwsIk4DYi55bvcJa5wGDC2Hewv5sjhGiDHE4Xh3NL2ZtVzJ6sYvZlFXMgpwSHs36jzAw6DZaKgq67uOsOv95hWI/FZCAkQA3Jep1cgCVOr7HzLLS9TNac2mLfuVwusrOzCQwMRK+XP1kbjaJg27YJAFPv8/zcGCFEW1VQamdvdhF7TlRk2uxicorL672/IJOuUnG3Un6tlG0rF35DzAbMhtY/cEH+9/OD2NhYAE/IbQhFUXC5XGi1rf/N6A9ttf/CwsI87zPROGzrvwfAmJSM1mTyc2uEEK2dy6VwNK+MPVlF7KkYabA/uxh7NcXZYJOeztHBdIkJJiEiELvDRZHVQaHVTpHVQbHNQZHVTmHZqWVOl4LdqZBbUk5uSd0CcoBR5zXSoWog7pcYRodwGZV1tmvMPAttN5M1h7bad1qtlsTExDZ1Tn6XlY7teAFotJjPG+Hv1ggh2oAiq91rsMGerGKyi2w+62k10CE80JNpg016iqyOiofd69/Ciq9Ly50AlNiclNicZBbUvl06rcarwBtsqijmBqj/RgYbuahbdGN1Q5OQgq0faDQa4uLiiI6Oxm63N2hfLpeLnJwcIiMj0WplRExdtcX+MxgMMrK2sVkLsO5IB8DUZ4CfGyOEaG1cLoXjBWWnguyJYvafLMZqd/msG2DUqUE2OrjiXwsxIaY6FSwURcFqd6lFXK8Q7B2IC6ssKyl3oChQVu6krNzJiULfsA3w6MhuUrAVjZpnoW1msubSVvvOaDS2qfNpCVzbl2AvdIIpBFNqD383RwjRypTYHOzLVrPs3op/TxRaq123fVgAXWLUPNs5OpiO7YIJMNatTuF0KT451p1t1QELDgrLvJcVltmxOxWcLoX8Ujv5pdVnlPgwsxRsRc10Ol2DC2sulwuDwYDZbJZAUw/Sf6JWDqzCdtIOepNcPiaEOC1FUcgstKpBttJogzK702dds0FLp6hTQbZLjIW4EHOD5+nSaDQEGHUEGHVEh9R+O5dLobj8VPgtqhJ+3QXe+FBzg9on2pbGyLMgmawhpO9Erbhc2H79ERTQxyWgCwvzd4uEEC1YWbmTfdnFngLtnqwijudXX5yNDTV7DTboFB1EoLHh5UadVkNYoJGwQGOdtrPanVUGKlQevav+GxrQ8u/3IwVbIYQ4A2XPMspzHWAOw9Slq7+bI4TfHM0rZcXOLJwuhb6J4fSIC8GoP3uLA4qikF1k8xRm92QVsS+rhGKbw2ddg07jKc52iQmmc5SFDuEBLeomClqthpCKeb/ah8mNpIQQok3JSsd29CRotJh6nevv1gjhN+UOF+v257DtWAGdooLolxhOdMjZ/WG01e7kwMkSr8EGR/JKUaq5jUK0xeQ12KBTVBAWc8sqfpoNOswGHVGW1j2VoRRshRDidMryKE/fiOIEbXg0hvg4f7dIiGZld7r4ZX8O323LZOvRUxNHfbb5GCa9lt4dwuiXFEb/pHDiQtt2ka+gzM6O4wVs2ptNlvUke7OLKSzzLc7qdRpSIoPoHKOOMugcHUxiRCC6FlScFUIIcZbZvwJbjgNMwZi6pfq7NUI0u+P5ZSzZnsmPO0745LcO4QH0TwrnnMRwerYPwaRvu1MMulwK+7KK+XVPHllbC9h3spTDOSW4qinORgYb6RwVfGpqgygLoYEtqzjblrWagm1ycjKHDh3yWvbSSy/x5JNPAnDw4EFSUlJ8tlu3bh3nn3++5/nixYt55plnOHjwIF26dGHWrFlcfvnlntcVRWH69On885//JD8/n8GDB/Pee+/RpUuXJjozIUSLdmAVtuxydTqE1DQ0cqmhOEucKLTy/TY11LrnftJq4NzkCIJNejYfziO/1M6vB3P59WAuoF4O1T8pnH6J4fRqH1rneapamqxCK9uPF5KeUcj24wUcyS1DQcFhd6A36NGgQavVkBwZeOoysBgLiRGBGHTyu0JUTzKtEKLZuVwo+1ZgO+kAkwVTV/k9IM4ODqeLDQdy+XZbBr8fOTXwIDLYyPkdIzmQXcLOzEKO5pVxNK+M/245jkGnoVf7UPpVZNoO4QGt+uaH5Q4Xu08UkX5czbM7MoootTu88ixAWKDBM6WBejVYMOFBdZuKQDSuVlOwBXj++ee58847Pc8tFovPOj/++CNpaWme55GRkZ6v165dyy233MJLL73EFVdcwYIFC7jmmmvYvHkzPXv2BODll1/mrbfeYv78+aSkpPDMM88wcuRI0tPTMZvP7mHyQpyV9v9UMRohFJP8kSvaOKdLYcOBXJZsz2Tz4TzPZVDhQUZGpsVwWY9Yz6VFiqJw4GQJmw/ns+lQHukZhWQWWPnmjwy++SMDvU5DWnwI5ySE0z8pnKTIwBYddl0uhaN5ZWw/XsD2ikB7srjcZ72E8EA6BGvokxJD19gQkiODzuppIUT9SKYVQjSrE9twZGXhLNdAqAVjNR8KCdGWZBVaWZJ+gh+2Z3oGHmg00C8xnNE9Yzk3OcJz5VOxzcEfR9Q8u+lwHjnF5Ww+nM/mw/nAAaItJvolhXNOYhh9E8IaZW7WplRic7Ajo9CTZ/dkFeNweg+fDTToSGxnoldSFF1jQugSE0xkkLFFZ/WzUct+p1VhsViIjY097TqRkZE1rvPmm28yatQoHnvsMQBmzpzJ0qVLeeedd3j//fdRFIU33niDadOmcfXVVwPwr3/9i5iYGL788ktuvvnmxj0hIUTLVpYHx3/DdtKpjkaQgq1oo04W2/hh+wl+SM8kp1KR8pzEMEb1jGVAcgT6KiNGNRoNHaOC6RgVzPX9O1BW7uSPo/lsOpzH5kN5nCi08fuRAn4/UsC8tQeJCDLSL1Et3vZJCPX7XFcOp4t92SWeAm368UKfuWe1GugUHUxafChp8SF0jwvBYtKRlZVFdHS03NxH1JtkWiFEs3IPQDAGY0xJQWuUUXOi7XG5FDYeyuO7bRlsOnRq4EFYoIHLesRwWVosMdXMVRts0jOoczsGdW6HoigcyS1j8+E8Nh3KY9vxArKKbHy/LZPvt2Wi1WroEWfhnIpMmxIZ5Pf7EeSWlHvl2YM5JT5zz4YFGugRH+LJtEnhAZw8mS15toVrVQXbv/71r8ycOZPExETGjh3LQw89hF7vfQpXXXUVVquVrl278vjjj3PVVVd5Xlu3bh0PP/yw1/ojR47kyy+/BODAgQNkZmYyYsQIz+uhoaEMHDiQdevW1RhubTYbNpvN87ywsBBQ79jqcrkadM5n4nK5UBSlyY/TVkn/1d9Z0Xf7V+KyObCXGlDCDRg6dWq08z0r+q+JSN81jLv/HA4nvx/L47ttmWw8lIerItmFBhgYkRrNZWkxXnPSnqm/TXoN5yWHc15yOIqicLzAyuZDeWw+nM+2YwXklNhYuiOTpTsy0Wo0dI0Jpl9iOP0Sw+gcFdzkYddqd7Irs6hieoNCdp0oxuZwVjkHHd1igkmLD6FHXAjdYi2YDd7TOsj7r/7q0ndtvX8l0/qSn636k75rmDbff4oLzf6fsJ10opjCMHbuLHm2hZD+axh3/2UXWVm+M5sl6Sc4WXzq/7A+HcIYlRbDgJQIz1RVtenrDuFmOoTHcVWfOKx2J9uOF3oy7fGCMrYeK2DrsQL+te4gYQEGzkkIo19SOH0TwggNaNoBCe6M7R5Bm368kIxCq896cSHmigKtOuAgPtTsNXpW3nsN01yZttUUbB944AH69etHREQEa9euZerUqWRkZPDaa68BEBwczKuvvsrgwYPRarV89tlnXHPNNXz55ZeegJuZmUlMTIzXfmNiYsjMzPS87l5W0zrVeemll3juued8lmdnZ2O1+v7wNCaXy0VBQQGKosgnI/Ug/Vd/Z0PfhWz/FmeWDac+EEJDybHZICurUfZ9NvRfU5G+a5i8knKWbM9gY8ZeTpacGlGaGh3IRV3C6dchWA21tiKysorqfRwDMDBOz8C4dtidEezKKmNrRjHbMko4VmBj25E8th3J419rINikIy02iF5xQfSKCyY0oOHxpNjmZHd2KbuzStmdXcrBXKvPzRSCjDq6RAXQLTqQrlGBJEWY0XsKx+UU5uVQWGW/8v6rv7r0XVFR/d97LZ1k2urJz1b9Sd81TFvvP/3JdEILMynLceHQGLFGRZElebZFkP6rP5eisO14MUvST5B+0u4ZURps0jEkJZThncOJDTECLvJyTjboWIkBkJgazDWpwWQVl7Mto4Q/jhez40QpJwvLWLq9jKXbM9BoIDnCTM/YYHrHB9ExMqDBN5x1KQpH8mzszi5lV1Ype7LLKLB6XxGm0UBCmIkuUWqe7RYdSFjlLF1eRHa2d66S917DNFem9WvB9sknn2TWrFmnXWfHjh2kpqZ6jSLo3bs3RqORKVOm8NJLL2EymWjXrp3XOueddx7Hjx/nlVde8RqR0BSmTp3qdezCwkISEhKIiooiJCSkSY/tcrnQaDRERUXJD1o9SP/VX5vvu7I8NPm7yc8HbWAYQWlpREVHN9ru23z/NSHpu7pTFIU/jhXw/bYT/LI/B1u5Hb1eT1iQmYu7RzOyRwwJEYFN2ob2cXBxH/Xr7CIbmw/n8dvhfLYcyafU7mTT8VI2HS8FskmJDKq4U28YqbGWWt3AK7vIps7VlVHIjuOFHM4r9Xpdq9cTHWwiLS7EM+KgQ1hAnUf2yvuv/urSd61tjlXJtA0nP1v1J33XMG2+//b8B7R6HKV69IFGos89D0MjZdo233dNTPqv7grK7CzbkcX32zPJLLDicDjQ6/X0iA9hVFosgzpFNum9BaKjoWdHuBmwO13syCjyZNoDOSUcKXRwpDCf73bnE2TU0ychlH6J4ZyTEOa5D8TplDtc7MkqYvvxQnZkFLEjo5BSu/cVYQEmI52jK64Iiw8hNdZCsKlupT157zVMc2VavxZsH3nkESZMmHDadTp27Fjt8oEDB+JwODh48CDdunWrcZ2lS5d6nsfGxnLixAmvdU6cOOGZH8z974kTJ4iLi/Nap2/fvjW20WQyYTL5/vBptdpmefNrNJpmO1ZbJP1Xf2267w6uAsVFeWkIGp0Bc9eujX6ebbr/mpi/+q6s3Ml7P+9jw4Ecoi1mEiICSIwIJCE8kMTIQOJCG/5JemMqtNpZtuME32/L5Hi+OjpOQaFzuwCuOTeZoV2jMOl1Z9hL44sJDWB0rwBG94rH4XSx60SR51KzvVnFHMwp5WBOKZ9tPkaAQUfvDqH0TwqnX1I4MSFmz/xi6RnuG4QVkl1k8zqGBg0JEQGkxYfSI04t0EZXM29ZfcjPbv3Vtu9aW99Kpm0c8rNVf9J3DdNm+8/lgoMrseU5UfQh6IKCMLaPR9OI59lm+66Z+Kv/Nh3K472f9mF3ujx5NjEikA7hgSRFBvr9XgOVKYrC9uOFfLs1g7X7cnBWXDIVZNJzXkcL15/fmeR2wc3eLpNWS9/EcPomhgOQU2zjt8P5ngJusc3Bun25rNuXC0BiRCD9ktS5b3vEhWDUaymxOdiZWXGDsGOF7Mkqwu5zgzA93eMsaqaND6FrjKVRitLys9swzZFp/VqwjYqKIioqql7bbtmyBa1WS/RpPh3csmWLV0i94IILWLZsGX/+8589y5YuXcoFF1wAQEpKCrGxsSxbtswTZgsLC1m/fj333HNPvdophGil9q9AURSsBepNGUxdu/q5QcLfjueX8eK3Ozico47cPGAr4cDJEq91dFoN7cMrFXErwm9cmLlWo0Qbg6IopGcUsmRbJqv3nvSEvgCDjuGpUVzWI4ZgV0mLucmAXqetuAFCKLddAPml5fx2JJ/fKgq4BWV21h/IZf0BNezGhZoptjkoslZzg7CoYM8NFXrEhRAa2HL+2BBtm2RaIUSLlPkHlOZiKzCAMRBTly6NWqwVrY+iKHy66Sj//uWQZxqB3JJyfj9S4LVeWKCBhIocm1BRxE0ID2zWbFVktbN8Zxbfb8vkaF6ZZ3mX6GBG94pjcKcICvNyiG7iq8RqKzLYxIgeMYzoEYPLpbAnq5hNh/LYfDiP3SeKOJxbyuHcUr787RhGvZbYEDNH80p9puwKCzTQw3NFWCgp7YJa1IAQ0XxaxRy269atY/369Vx00UVYLBbWrVvHQw89xLhx4wgPVz/NmD9/PkajkXPOOQeAzz//nDlz5vDBBx949vPggw8ybNgwXn31VcaMGcPChQvZuHEjs2fPBtQK+Z///GdeeOEFunTpQkpKCs888wzx8fFcc801zX7eQgg/Kc2FjN9xlLhwOQ1g1GFKSfZ3q4QfbTqUyytLdlFicxIWaODBS7rgUuBIRfA6klvKkbxSrHYXh3NKPUVdN61WQ/swMwnhgZ7wmxgRSHxYQKNdtlVsc/DTriy+25rJ4dxTx+8YFcTonnEM6xpFgFGHy+UiK6vkNHvyr7BAIxd1i+aibtG4XAr7Txaz+ZA6WmFHRiEZBepIYaNeS7dYC2kVYbZbjIUAY/OPFhaiLiTTCiGa1f4VANjssYADU5cu/m2P8KuycidvLNvN2r05AIzqGcsl3aM5klvmlWmzimzkl9rJLy1g61HvQm5IgN5rJK57gEJYoMHrplb1pSgKOzOL+H5bJqv2ZHsGHpgNWoZ3i2ZkWiydo9XRtC6Xy+deAy2FVquhW6yFbrEWxg5MpNBqZ0vF6NvNh/PJKyn35PWYEHNFng0hrX2ozw3CxNmrVRRsTSYTCxcuZMaMGdhsNlJSUnjooYd87o47c+ZMDh06hF6vJzU1lUWLFnH99dd7Xh80aBALFixg2rRpPPXUU3Tp0oUvv/ySnj17etZ5/PHHKSkp4a677iI/P58hQ4bw/ffft7q51IQQDbD/J1AUbI540LowJSejMRr93SrhB4qisHjTUT6qGIWQGmvhydGpRAarlwwPSInwrOtyKZwstnEkr5RDOaUcyS3zBN8yu7MiDJfBvhzPNloNxIaaPQVcdzG3fXhAraYqUBSFvVnFfLs1k5V7sil3qHchNeq1DOsaxeieaqhtraFPq9XQOdpC52gLN56XQInNwY6MQoLNejpFBTfbqGUhGotkWiFEs3G5YP/PANgK9IADU1cp2J6tjueX8eI3OzicW4pOq+HuYR0Z1VO9ciM11nuO8rJyJ0fzSn0ybVaRlcIyB9uOFbLtmHepNNikJyEigKTIIDq4rzaLCCQyyFirHFpa7uCnXdl8ty2Tg5WuYEtuF8TonrEM7xZFoLFVlK+qFWI2cGHXKC7sGoWiKBzMKSWr0Ern6GDP3xVCVKVRFEU582qiLgoLCwkNDaWgoKBZbtCQlZXVYi5tbW2k/+qvTffdVw9Axu/kZPel8LdjhIweReQddzTqIdp0/zWx5uq7snInb/y4m7X7To1CuHNoxzqPiFUUhZyScg7llHI0Tx19674kqrTcWe02Go36aXtipdG4CREBdAgPxGzQUVbu5OfdWXy3LZP92adCbWJEIKN7xTK8W3SNNx+Q917DSP/VX136rjmzlKiZZNrWQfquYdps/x3bDF8/hJMgDv8QAGhInDsHXSP+LLfZvmsmzdV/la8UCw8yMnV0Kt3j6v4+sNqdHM0r81xZ5s60JwqtPpf1uwUadV6DEhIiAkiICCQq2IRGo2FvVjHfb8vg593ZWO3qwAODTsPQLlGM7hVLtxhLjQVfef/Vn/RdwzRXpm29H1EIIURTKMlR5/sCbPnqL1+5fOzscyy/jL94jULoxKiesfXal0ajoV2wiXbBJvonhXuWK4pCbkk5R/JOjcR1B99im4PMAiuZBVY2VMzdqu4Loi0mCssclFXcMdag0zCkcztG9oylR1xIqx1NK4QQQohGtP8nAGyG7sAh9LGxjVqsFS2foigs3niUj9afulJs6uXdiQiq35WDZoOOztHBnikJ3GwOJ8fyynwybUZBGaXlTnZmFrEzs8hrmwCDjtBAA5kVU10BdAgPYFTPWC5OjW5RNz0Twl+kYCuEEJUd+BkUBaVdd8pXZAJSsD3bbDyojkIoLW/YKIQz0Wg0RAabiAw20TchzLNcURQKyuyeUbieOXJzyygos3Oi0AZAfJi5ItTGEBogoVYIIYQQFVxOOLASAJs9BjiEqUtn/7ZJNKvqrhS768KOTTKdlEmvo2NUMB2jvAu55Q4XGQVl6rQKeWqmPZpbxtH8MsrsTsoKnOi0GgZ1iuTyXnGkxcvAAyEqk4KtEEJUVnFzhvKAXij2FWiDg9FXujO3aLuqjkLoHmfhydH1H4VQXxqNhrBAI2GBRnp3CPN6raDUzpE8ddRvamzNl4gJIYQQ4iyWsQXK8sBkwXa0HJABCGeTyleK6XXqlWIj0+p3pVhDGPVakiKDSIoM8lrucLo4nm8lq0idwzUsUO4VIkR1pGArhBBuxdmQuRUAmy0SUMOtFMXavqqjEEb3UuerbWk3tQoNNBAaGOrvZoizlM1pY0vWFvrH9EevlQgphBAt1j51AIKSfCG2n3YAUrA9W/x6MJe/VVwpFhFkZOrlqT43FfM3vU5LYmQgiZGB/m6KOEsdLTpKqaOUruFd/d2U05K0LYQQbhXTIRDTE9vhLEDC7dngWH4ZL36TzpHcMvQ6DfcM68RlfhiFIERLZHfa2ZK9hbXH17L5xGasTitTB0ylb3RffzdNCCFEdSpNh+AI7YuraAMavR5TcrJ/2yWalMulsHjTET5ef9hzpdjU0d0Jb+YrxYRoqTJLMll3fB1rj6/lcNFhuoR14YUhL/i7WaclBVshhHCrmA6BThdhW/YzIAXbtm7DgVz+9sMuyipGITx1eXe6xVr83Swh/MrusrM1eytrj69l44mNlDnKPK9FBURhdVpPs7UQQgi/Or4FrAVgDsFWaALAmJyMxiiFu7aqrNzJa0t38ct+9Ua1LfVKMSGaW1ZpFr9k/MLa42s5UHDAs1yn0WExWrC77Bi0LfdeIFKwFUIIqJgOYRsAzqj+2I8vBJAbNLRRLpfCJxuPsGCDOgqhR1wIT45OlVEI4qzldDnZlrNNLdJmbqTYXux5LcIcwflx5zMofhCdwzrLNDFCCNGS7V+u/psyDNuefQCYusoAhLbqaF4pf/l2h1wpJkSFnLIc1mWsY93xdezN3+tZrkVLz3Y9GRQ/iPNizyPYGHyavbQMUrAVQgiA/T+p/8b2xHY8HwBDfBw6i4y2bGtKyx28vnS3ZxTC5b3iuGNoioxCEGcdl+JiR84O1h5fy/rM9RSVF3leCzP9P3v3HR5XeSV+/Dt91Puod7n3hivuBkJPQjobUjdkUyENSDYBUiCbQEg22fDbTSHJhpDChtACNq4Yyza2ZeNe1Puoj6Tpc+/vjyuNJEu21UflfJ5Hj0a3zTvXsnR05rznjQ0maWfEzUCvk/8fQggx4QX8wXYI5G3C88pfAbDMnNh9GsXw9J4plhCpzRSbmSx/u4jpp8XdwqHaQxyoOcD5lvPB7Xr0zEmYE0zSxlgm11ogkrAVQgjoSdjmbcJz5iIg7RCmoqoWJ99/5SxVLVoVwr9tLGDb3ORQD0uIcaOoCuebz1NYW8jBmoO0eduC+6LMUaxKXcXqtNXMiZ8jSVohhJhsaorA7QBrDGriPLxlPwIkpp1qFEXlz0cqefZQBSAzxcT01OZp43DdYQ7UHOBs01lU1OC+2fGzWZ22mlUpq4i1xoZukCMkCVshhOiwQ/0p0Om06WP/+G9Agtup5lBJE0/suCBVCJNUh7eDI/VHeKfhHTKjMrk572YsBkuohzUpqKrKxdaLFNYUcrD2IM3u5uC+SFMkK1JWsCZtDfMS5mHQG0I4UiGEECPSXYCQux5PRQWq348+Ogpjsrw5PVU4vX6e3H6BQ6Xa7/JbFqbyyXUyU2yyUFWV4tZiDtZqb5rfkH0DM+Lkb87B6vB2BJO0pxtPo6AE982InaElaVNXkRCWEMJRjh5J2AohRIm2wBgpC1AjEvFclArbqURRVJ57u5I/HdaqEOalaVUIseFShTDRdXg7eLvubQ7WHuRk40kCaiC4b0f5Du6eczer01ZLT9UBqKpKaVtpsIdXg6shuC/MGBZM0s5PnD+hF1sQQggxSAE/lHbFtPmb8BzvimcLZsjvySmislmbKVbd6sLUNVNsq8wUm/C63zg/VHuIQ7WH+sRk+6r2sT5jPR+a/SHirfEhHOXE5fQ5ebvubQ7UHOj390BeTB6r01azOnU1SeFJIRzl2JCErRBClOzWPudtwl9bi9LRgc5kwpydHdpxiRHr9Ph5cscFDndVIdzaVYVglCqECavd2x5M0p5qPNUnKMuKymKxbTEHag7Q6Grkp0U/5fXy17ln7j3kxeaFcNQTg6qqlDvKg0naemd9cJ/VYGVZ8jLWpK1hUdIiTAZJ0gohxJRScww87RAWB6mL8fz1PwFZQHeqOFTSxBPbL+DyaTPFvnnzHGbITLEJS1EVLrZc5GDtQQ7VHqLJ3RTcZzVYWZq8FIPOwJvVb7Kvah+Haw9zZ8Gd3Jp3q8RogMvv4mj9UQ7UHOBEwwn8ij+4LzsqW0vSpq0mJWJqL7AnCVshxPTWXgf1p3vaIRw5BYA5NxedSX5ZTmZShTB5OLwO3q59m8Lawn7Tm7KjslmVtopVqatIi0wD4H0z38dLxS/xwqUXONd8jof2P8TGzI18aPaHJt1iAqOhsr2SwhotSVvTWRPcbtabWZq8lDVpa1hiW4LZIFXlQggxZRV3FSDkrge9Ac9FbXV0mTE2uV0+U2x+ejTfuElmik1EvZO0l7eg6n7jfGXqyj4x2bty38VvT/2Wi60Xee78c+yq2MXdc+/mupTrpl1lvCfg4Vj9MQprCjlmP4ZP8QX3pUemszptNWvS1pAemR7CUY4vSdgKIaa3YDuEhRCRIO0QpoiDJU08KVUIE1qbpy1YSdsvSRudzepUrQdVamRqv3PNBjPvnfleNmRu4Nmzz/JWzVvsrtxNYU0h7535Xt6V864pX51Q21FLYW0hB2oOUNleGdxu0ptYnLRYS9ImLyHMGBbCUQohhBgXAR+Uvak9zt9EwOHAX1cHSEw7mclMsYlPURUutFzgYM1BDtUdGjBJuzptNYuSFg34xnl+bD7fXftd9lfv54/n/ojdZefJo08yL2Ee98y7h+zoqT3j0xfwUWQvorC2kKP1R/EEPMF9qRGprE7VkrQZURnTLoENkrAVQkx33e0Q8jcBSMJ2klMUlT+9XcFzh7UEllQhTCxXS9LmROewKnXVFZO0A0kMS+SLS7/IjTk38rvTv6O4rZg/nv0jO8t38i9z/4VlycumVHDX7G7mzao3OVBzgDJHWXC7UWdkYdJCVqetZnnycsJN4aEbpBBCiPFX3asdQsoiPMePA2BKS8UQGRnasYlhqWx28r1XzlDT6sZk0PG5TQVsmSMzxSYCRVU433xea3dQd4gWd0twn9VgZXnKclalrmJx0uJBFRDodDquz7ie5SnLefHSi7xU8hKnm07zwL4H2JK9hffPej/R5uixfEnjSlEV3ml4h/3V+3m77m3cAXdwny3Mxqq0VaxJW0NOdM6UiuOHQxK2Qojpy1EL9rOg00PuBlSvF09ZGQCWmZKwHYiqqlQ0OzlZ3Ua01UR6XBjpsWFYTaFfWb7T4+eJ7Rd4u0x7Z/u2Ral8Yq1UIYRam6eNQ7WHOFh7kLNNZ/skaXNjcoNJ2pH0oJoVP4vvrfse+6r28ezZZ6lz1vGjIz9iYeJCPjrvo2RGZY7GSwkJRVU43XiaHeU7eLvu7eD906NnQdICVqeuZkXKCiLN8ge5EEJMW8H1GDaCXo/nghQgXIvLG6CoooUWpy8YzyZGmidEgqiwuImf7NBmiiVGmnlIZoqFnKIqnGs+x8HagxyuPUyLpydJG2YMY3mylqQdyToBYcYwPjD7A2zK2sQfz/6Rg7UH2VG+gwM1B7hrxl3ckHMDRv3kTeG1edrYVbGLXRW7sLvswe3x1vhgJW1+bP6E+D84UUzef20hhBipkj3a59SFEB6P5/wF8AfQR0dhtNlCOrSJRFFUztW1c7CkiYMlTdS2ufsdkxhpJj0ujIy4cDK6gt6MuHASIszo9WP/S7eiycn3X+2pQvj85gI2z5YqhFBpdbdyqE5L0p5rOtcnSZsXk8eq1FWsTF05qgsF6HV6NmZu5LqU6/j7pb/zaumrvNP4Dl/f+3VuyLmB981836RKarZ729lTuYedFTup7awNbp8VN4v1Geu5LvW6KVVtIYQQYpgCPijbrz3O2wjIjLEraXP6OFTaxMGSZo5XtuALqH32W4z6YPI2GNOOY3GCoqg8e7iCP78tM8UmAkVVONt8loM1Bzlcd5hWT2twX7gxPFhJuzBx4ai24rKF27hv2X2caTrDM6efodxRzu/O/I43Kt7go3M/ymLb4lF7rrGmqipnm8+yo3wHh2sP41e1xcMiTZGsTV/L2rS1zIibgV4nBTYDkYStEGL66k7Y5vVth2CdOXPav7Pn9SucrG6lsLiJQ6XNtDp7mr6bDDrmp8fg9gWobnXhcPlp7PDS2OHlRGVbn+tYjHrSYsPI6Ermdge96bFhhJlHJ/A9UNzIUzsuBqsQvnnLHApsUoUw3lrcLVqStuYg55rPodLzR1B+TH5w4TBb+Ni+GRJuCucjcz7Clqwt/OHMHzhSf4TXyl5jf/V+3j/r/WzN2opBH/qK8IGoqsqFlgu8UfEGhTWFwcUWrAYrGzI3sC1rG5nRk7daWAghxBioPqq1QwiPh5SFqIqC51LXgmMzZ4Z4cKFX73BzsKSJwuImztY6UHrlaFNirGTFh1PT6qKmzY3Hr1DS0ElJQ2e/6wxUnJAeF0ZihGVUihM6PH6e2H6eI2Va5ebti9L4+NocmSk2zhRV4WzTWQprCzlce5g2b8/fNhGmiGAl7YLEBWO+XsLchLk8fv3j7KrYxXPnn6O6o5rHDj/GUttSPjr3o4NuIRYKTp+TfVX72FG+g6qOquD2gtgCtmVvY03aGlkMdxAkYSuEmJ4ctdBwrqsdwnoAPBcuANO3GsHp9XOkrIWDJU0cKWvB5QsE94WbDVyXG8+qvASWZsX1SbY63D6qW1xUtbiobnFqn3sFvqWNnZQ29g98EyLNPYncrqA3YwiBr6Ko/PFwOX8JViHE8MBNs4kJn9qLTU0kze5mDtce1ippL0vSFsQWBCtpxzpJO5CUiBS+tuJrnGw4yTOnn6Gqo4rfnPoNO8p3cM/ce1iQtGDcx3QlLr+Lt6rfYnv5dsod5cHt2dHZ3JB9A2vT18riYUIIIQZW3NUOIXcD6PX4q6tROjrQmUyYs6f2gkUDUVWV0sZODpY0U1jSRNllMWh+UgSr8xNYlZdAVnx4sEjDH1Cob/dQ1dwTy1a3uKhqdQ66OCG9d1w7hOKEimYnj/3zXHCm2Bc2z2DTbJntN14CSoAzTWc4VHeoX5I20hQZrKSdnzgfk358/87Q6/Rszd7K6rTVPH/heV4re41j9mO80/AON+XexHtnvHdCrV1Q0lrCjvIdvFXzVnABMYvBwrr0dWzN3kpeTF6IRzi5SMJWCDE9dVfXpi3WKhKYntPHWjq9vaaGtRLoVXYQH2FmZV48q/MSmJ8eg+kK7/BHW01Ep5qYk9p3enbvwLe6tTuhqwXAbS4fTR1emgYIfM1GfddUtLA+09J6B76d3gBPv3KWoxWtANyxOI2Pr83FMA7tF6a7JlcTh+u0JO355vMDJmlXpa4iKTwphKPssSBpAf+x/j/YUbGDv57/K5XtlXzv0Pe4LuU67p5zN8kRoWudUeGoYHv5dt6sejO44IJJb2JN2hq2ZW+jILZg2lf7CyGEuAq/t6cdQtcCuu6ueNacl4fOOD3+3FcUlTO1jmD7rnpHz0rzeh3MS49hdV4CK/PisUVZB7yG0aAPJlpXXrav3e2jqldxQndcO9jihPTYnvYKGbFhJEb2FCccqXTwu6MluH0KSVEWHrp5DgW2ydPCabLyK37ONp3VetLWHcbhdQT3dSdpV6euZl7ivHFP0g4kwhTBR+d9lK3ZW/n9md9TZC/i5ZKX2Ve1jw/O+iCbsjaFrK2AJ+DhQPUBdpTvoLitOLg9IzKDbTnbWJ++fkIllSeT6fETXAghLhdcnEELbgNtbfjtWvNzc35BqEY1LqpbXRws1gLa8/XtqL2mhmXEhbEqL4HV+QkUJEWOaIpX78D3clcKfGvb3HivEfimx4ZR0dBGi0fFbNBLFcIYU1WV0rZSjtqPcrT+KKVtpX32z4ybGaykTQxLDNEor86gN3BTzk2sTVvLXy/8lR1lOzhcd5hj9mPcknsL757x7nGrYPUFfMFFJM63nA9uT41IZVv2NjZkbJhUvXaFEEKEUPUR8HZAeAIkazNHpksBgscf4HhFKwdLmjlc1oTD5Q/uMxv1LM2KZVVeAity44m2jizhFmU1MWeA4oSAolLncA+7OCEu3MSh4gaMJiMLM2L5xo0yU2wsdXg7ONFwgiP1RzjRcIJOX8/fGpGmSFakrAhW0k7Uxb3SItN44LoHKLIX8fvTv6ems4b/PvnfvF7+Oh+b9zHmJswdt7FUd1TzRvkb7K3aG7yXRr2RlSkr2Za9jdnxs6XwYIQm5nehEEKMpbZqaDjf1Q7heqAnuDWlp2OIjAjl6Eadqqpcsnd0VR00U9Hs7LN/RnIkq/O0qWGZ8ePz7udgA99gq4VegW9jhwe/z09qXATfvGWuVCGMAW/Ay6nGUxytP8ox+zGa3c3BfTp0zIibMeGTtAOJMkfxifmfYFv2Nn53+necbDzJP4r/wd6qvXx49oe5PuP6MatOqOusY2fFTnZX7qbd2w6AHj0rUlawLXsb8xPnS1ArhBBiaLrbIeRtBL32+2sqJ2zb3b5g+65jFS24fT2LmkZajMH2XUuyYsdlkTCDXnfN4gQtlu2Ka1td1LT2FCeUdM1Sun1RGp9clyczxcZAbUdtsOjg8oVwo8xRrEhewaq0VcxLmDdhk7QDWWJbwoLEBbxe9jp/u/A3yh3lPFL4CKtTV/OROR8Zs5luPsXHkboj7Cjfwemm08HttjAbW7O3sjFzIzGWmDF57ulo8nxHCiHEaAm2Q1gCYXHA1Atu/QGF0zUOCrumhjV1eIP79HodC9NjWNU1NSwx0hLCkfY1mMC3qrmT+qYWbl2WT2zExBn7ZNfqbg0GtKcaTwX7ToG26NXCpIUstS1lafLSSR+IZUZl8s2V3+Ro/VF+f+b31Dvr+a8T/8XrZa9zz7x7mBU/a1SeJ6AEOGY/xo7yHZxoOBHcHm+NZ2vWVjZlbSLeGj8qzyWEEGKa8Xuh/C3tcVc7BMXrxVum9UKfKjFtY4eHQyXNFJY0crLagdKrfVdipDk4M2xeWsyESnheqzhBS+R2EqP3smlh7qgsXCa02OtCywWO2Y9xtP4o1R3VffZnRGawNHkpy5OXMyNuRsjaCIwGo97ILXm3sC59HX85/xd2VuyksLaQI/VHuD3/dm7Pvx2rceAWIEPV6GrkjfI32FWxK9jjV4+eJclLuCH7BhYmLZzU93KikoStEGL66W6H0BXcwtRI2Lp9AY5VtHCwpJm3S5vp8PRMDbOa9CzNjtOmhuXEE2mZfD/+uwPfWcmR2O06osNkythIqKpKuaOco/VakvZS66U+++Ot8SxLXsby5OXMS5g35ivhjjedTsfylOUsSlrEP8v+yfMXnqe4rZhvH/g269LX8eHZHyYhLGFY1252N7OrYhc7K3YGq5N16FiUtIht2dtYYluCQT/2lT9CCCGmsKq3wdsJEUlgmweAt7QUAgEMMTEYbROjl/xwVDY7g0UHF+s7+uzLSgjXkrR58eQnRU662Sm9ixOWZ8di72rJJobP6XNysukkR+uPUmQvosPX8z1j0BmYEz+HZcnLWJa8LKRrF4yVGEsMn174abZlb+OZ089wtvksz198nt2Vu/nInI+wNm3tsP6fKKrCiYYTbC/bznH78WB1cqwlls2Zm9mSvWVSzbSbjCbfX+xCCDESrZXQeFFrh5CjtUNQFQXPRS1ZZZk5uRK2DrePwyXNHCxpoqiyFa+/Z5pPTJgpODVsUWYMFqMkiKY7X8DHqcZT7Cvdx/lT52lyN/XZnx+TH6w6yI7OnnR/BA2HyWDi9vzbWZ++nj+d/xN7K/eyv3o/b9e9zZ0Fd3Jr3q2YDeZrXkdRFU43nmZH+Q7erns7GNRGmaPYlLmJrVlbp+QfCUIIIUKkZIB2CBd6ChAm0+9wRVG5aO+gsLiRgyXNVLe6gvt0OpiVHMXq/ARW5iUMOAtLTD92p50jdUfYX7afMlcZATUQ3BdpimSxbTHLbMtYZFtEhGlqtbu7kpyYHL6z+jscrjvMH878gQZXA/9Z9J+8Xqb1t82PzR/Uddo8beyu3M3O8p3YXT1vKMxPmM+2nG0sT14+qdpHTGZyl4UQ00t3O4T0pRAWC4CvphbF6URnMmHOygrZ0Aarzelj38UGDhQ3caamjV4zw0iOtrCqqx/t3NRomV4laPO0cdx+nKP1RznRcAK3343P78NkNGEymFiYtJBltmUsSV4yrafnx1pj+eyiz3JD9g08c/oZLrRc4M/n/8yuil18ZM5HWJW6asA/ftu97eyp3MPOip3UdtYGt8+On8227G2sTFk55aqThRBChJjfC2Vd7RDyNgY3B2eMTYICBEVROVPrYN/FBg6VNNPc2dO+y2jQsSgjllV58azMTSAu4tpvnIqpTVEVLrVeCs4Mq2yvBJVgTJsamRqsop0VN2vazmTS6XSsTF3JEtsSXil5hb9f+jsXWi7w0P6H2JixkQ/O/iBx1rh+56mqytnms+wo38Hh2sP4VW2mZqQpkvUZ69mWvY20yLTxfjnTniRshRDTS3fCNq93O4QLAJjz89AZJ+aPRX9A4Wh5CzvP2Tlc2kygV5Y2NzGiK0kbT25ixKSqqBCjT1VVqjqqOFZ/jCP1R7jYchGVnu+XWGssM8Nnsj5vPQttC7EYpA9wb/mx+Ty65lEO1Bzgf8/+Lw2uBp469hRz4ufwsXkfIysqC1VVudhykTcq36CwphCf4gO0Xr8bMjewNWsrWdET/80fIYQQk1TVYfA5u9oh9KwKPxlafNkdbnaes7PzrJ16hzu4PcxkYHmO1r5reU4c4eaJGZOL8ePyuzjZcJKj9qMU1RcFe6eC1j91VvwsCsIK2DRjE+lR6SEc6cRjNph594x3sz5jPX869yferH6TPVV7OFh7kPfMeA83Zd8EaO0k9tfsZ0f5Dqo6qoLnF8QWsC17G2vS1gxqppkYG/JTUAgxfbRWQtMlrR1C7vXBzd3tEKwzZ4ZqZFdU0eRkx9l69py30+r0BbfPsEWyYVYSq/ISSI4enWbyYvLyK37ONp3lmF1L0tqdffuhZUdnszx5OcuSl5EdlU1jQyM2mw29XhYHGIhOp2Nt+lqWJS/jpZKX+Melf3C2+SwPvPkAa1LXcKnxEvXeeuh6byQ7Opsbsm9gbfpawowyVVMIIcQYK+7fDiHQ2orfbgedDkv+4KY+jxe3L0BhcRM7z9XzTlUbatf7yGEmA+tmJLK2IIEF6bGYjRKXTHeNrkaO1WsLhp1uOh18UxwgzBjGEtsSltqWssS2hHBjOHa7HVuELYQjntgSwhL4/JLPc0PODfzu9O+41HqJZ889y87ynWRYMjjpOIlX0arbLQYL69LXsTV7K3kxeSEeuQBJ2AohppPu6tqM5WDtWeV+olUjtLt97LvQyM6z9Vy09zTNjw03sWFmEtvmJpOdMD16MYkr6/B2UGQv4pj9GMftx3H6ncF9Rr2R+QnzWZa8jKXJS/ssCKAoykCXEwOwGq28b+b72JixkWfPPcuBmgO8VfMWPr+PcEs4a9LWsC17GwWxBVLZLoQQYnz4PVB+QHs8wAK6powM9BGhjxNVVeVcXTs7z9az72IjLm9Pj9GFGTFsnZPM6vwErKbpOXVdaBRVobStlKP1RzlSf4RyR3mf/bZwG8uTl7PUtpTZCbMx6XvaTElMO3gz42by3bXfZX/1fv549o/UO+upclRhMprIiMpgW8421qevJ9wUHuqhil4kYSuEmD6CizP0BLeKx4O3rAwIbcJWUVSKKlvYedbOwZImfAGt9ECv13FdThxb5ySzLDsOo0EqD0JBVVWa3c2UOcood5T3q2DtpqN/0u5KibyBjh3wuAHOr2qv4nzz+eDCVgDR5miWJi9lmW0ZC5IWSKXnKEoKT+JLS7/EDdk3sLdyL1FKFLfNvY1oa3SohyaEEGK6qTyktUOITO7TDsEdLEAoCNXIAGjs8LC7q+VB78XDkqMtbJmTzObZNpkdFkLegJfK9krKHGVUOipxB9wDHjfYmHaw8exA57v9bk41nqLF09LnejPiZgT70WZEZsib4qNEr9OzPmM9K1JW8ErxK1Q1VbFt5jbmJsyVezxBScJWCDE9tJRDUzHoDZCzLrjZW1ICioIhNhZDYuJVLjA2qltd7D7fwK5zdpo6ehZbyEmMYOscGxtn2ogJlwWLxpNf8VPTUUOZo4yyNi1BW+4op93XHuqh9ZMZlalV0dqWMiNuBnqdJPTH0pyEOcyKm4XdbifSHBnq4QghhJiOerdD6JVkCeWMMa9f4e3yJnaetVNU0RJcENdi1LO2IJGtc5KZlyaL4Y63Nk8b5Y7yPjFtTUdNnzf8JwKrwcqipEUsS17GYttiYiwx1z5JDFuYMYz3zHgP9hg7tnibJGsnMEnYCiGmh+52COnLoVdVXO/gdrx+WTm9fvZdaODlY+WUtfmC70xHWoxsnJXE1rnJ5MniYePC6XMGE7KljlLKHeVUtlfiV/z9jtWjJz0qnZzoHFIjUkeUHO29CFhwmzrAtgGOA4gyR7HEtgRbuPTsEkIIIaYNnxsqCrXHvdohqIqCt2tNhvFK2KqqysX6dv5xpI6i2lI6PD0tD+amRrN1bjLrChIJM0vLg7GmqAr1nfXBmWBljjLKHGW0uFsGPD7KHEVOdA7Z0dlEmob/BvSV4tTBxrR6nZ68mDzmJczDZJACFSEuJwlbIcT00N0OoVdwC+NXjaAoKier29h5tp63ipvw+AP4fX7MZhPLsrWWByty4mWxhTGiqipN7qY+FbOljtIrtjawGqzkxuSSHZ2tBbQx2WRGZkowKYQQQojQqTwEPhdEpUDS7OBmX3U1isuFzmLBnJU1pkNodXrZc76BHWfrKW/qxO/zYzQZSYy0sGW2jS1zkkmLlbZMYyXY0qCtLJiYrXBUXLG1QWpEajCezYnRkrRxljgpDBFiEpCErRBi6msu1T70Rshe22eX50JXwnbm2CRs6x1u3jhbz66zduztnuD2jNgwrksP4/YV+SRGSR+v0eRX/FR3VGtJ2bZSKhwVlDnK6PB1DHh8gjWBnJicYKVBTnQOSeFJ0l5ACCGEEBNL7/UYBmqHkJ+HzjD6Fa2+gMKRshbeOFvPkfIWlK6eB2aDnmVp0dyxPJfFmXHS8mCUtXnaeqpmr9HSwKQ3kRWVFUzK5kTnkBWdJWsaCDGJScJWCDH1dbdDyFjRpx2Cv6UFf2Mj6HRY8vNH7encvgBvXWrkjbP1nKp2BLeHmw2sn5nE1jnJFCSF09DQQHyEedSedzpy+px9p3+1lVHVUTVgSwODzkB6ZLoWxPZK0EaZo0IwciGEEEKIIfC5obyrHULexj67ggUIozxjrKShg13n7Ow+b8fh6omtZiZHsXWOjbUFCTjbmrHZYiVZOwKKqlDfUR9sz9WdnO29GFdv0eZosqOzg7PBsqOzSYtIw6CX9hNCTCWSsBVCTH3dCdvLg9uuagRTRgb68PARPYWqqpyucbDzrJ23LjXi8ml9vHQ6WJQRy5Y5NlbnJ2AxaoGUokysZv+Tgcvvori1mAvNFzhVewr7aTsNroYBjw0zhmlTv7qSstLSQAghhBCTWuVB8LshKhWSZvXZNZotvhxuH3vPN/DG2XpKGjqD22PDTWyebWPL7GSyErS4WVEUnCN+xulFVVXqOuu42HqRiy0XOVt/FrvPjifg6XesDh0pESk9s8CkpYEQ04okbIUQU1tzKbSUae0Qci5rhxAMbguGffmGdg+7z9l542w9tW09vaNSYqxsnWNj02wbNml5MGSKqlDVXsXF1otcarnExdaLVLVXaQsWqODz+zAZTaCDxLDEnt5cXf25ksKSJJAVQgghxNRR3N0OYWOfdgiKx4O3ogIYfsI2oKgcq9BaHhwubcYf0FoeGPQ6VubGs3VuMkuz4jBIFe2QdXg7uNR6KRjTXmq91NOmq1dMazKYetZO6KqalZYGQkxvkrAVQkxt3dW1mdeBpe/U95FUIxwtb+aFohpOVLXSvRCq1aRnXUESW+bYmJcWLQnDIWh1t2qBbOslLrZcpLi1eMDFExLDEsmPycemt7EocxG5MblEmoe/uq0QQgghxITnc0FFVzuEyxbQ9RYXg6JgiIvDkJAwpMt2ePz89Uglu8830NLpDW7PS4pgy5xkNsxMIiZMZicNll/xU+GoCFbPXmq9RG1nbb/jTHoTuTG55Mfkk6AmsChrEelR6dLSQAjRhyRshRBTl6r2XZyh9y5FwXPpEgDWmTOHdNnTNW08/OKZ4Nfz06PZOieZNfmJhJkl0LoWX8BHSVtJMDl7qfXSgK0NrAYrebF5zIidwYy4GRTEFhBnjUNRFOx2O7YEG3q9LAwmhBBCiCmuohD8HohOg8S+cWuwAGHmzCEVC6iqyuP/PMuJyjYAosOMbJxpY8scG3lJ8mb4taiqSpO7iYstPcnZkrYSfIqv37GpEakUxBZQEFfAjNgZZEVnYdKbemLaKIlphRD9ScJWCDF1tZRCSzkYTJC9ps8uX3U1qsuNzmrFlJU16Et6/Qq/2K0lelflxfOJdbmkxshUpSvp3afrUuslLrVcotxRjl/tuyiYDh3pkenMiJsRTNBmRGWg10nwKoQQQohprrhXAcJlSdnhzhjbc76BE5VtmAw6vnLDLK7LjcdkkLjrSlx+FyVtJVpytqtdV6untd9xEaYILTkbW8DMuJnkx+bLArdCiGGRhK0QYurqDm4zrgNL30oBz4ULAFjy8tAN4R3t549VUdnsIjbcxBe3zCDKKtPEeuvu09W7tUG7r73fcTHmmGCVwYy4GeTF5BFuGtnCb0IIIYQQU47XCRUHtceXtUMAcHfHtENI2La5fPxqfwkAH1yRxdqCxJGPcwpRVIXqjupg5eyllktUtlei0HfRYIPOQFZ0VjA5WxBbQEpEihQcCCFGhSRshRBTU+92CAMEt8OpRqhqcfKXI5UAfOr6vGmfrPUrfiraK4JVBpdaLlHTWdPvuO4+XQWxWoK2IK5AFgUTQgghhBiMikIIeCEmAxL6LpTrb24m0NQMej2W/LxBX/K3b5XicPnJig/n3UvTR3vEk06bp60nOdtVdDDQWgoJ1oQ+BQe5MblYDJYQjFgIMR1IwlYIMTU1l0BrJRjM/dohAHgudPf7GlzCVlVVfrG7GH9AZWlWLOtnTM9KBE/Aw1vVb7Gvah/FrcV4FW+/Y1LCU7Rgtqu9QXefLiGEEEIIMUTB9Rg29m+H0BXPmjMz0IcNrkXXO1Wt7DxrB+DzmwumbRuEsrYy3qh4gxP2E9hd9n77rQYruTG5wXi2IK6AeGt8CEYqhJiuJGErhJiauoPbzOvAHNFnl+Jy4a3UKmUHW2H7xlk7p6rbMBv1/NumgmlXHVrbUcv28u3srdpLp68zuD3CFEF+TL4WzMbNID82n2hzdAhHKoQQQggxRXidUHFIe5w38hljvddiuGl+CnNSp1fM5gv4OFR3iO1l2znfcj64vXsthd7VsxmRGRj0spiwECJ0JGErhJh6VLXv4gyX8ZSUgKJgSIjHmJBwzcu1OX38Zn8pAB++LovkaOuoDneiCigBjtmP8XrZ65xsPBncbgu3sS17G8uSl5EakSp9uoQQQgghxkLFgV7tEPL77R5qwvYvRyqpaXUTG27injU5oznSCa3R1cgb5W+wq2IXbd42QOs/e13KdWzM3MjMuJmyloIQYsKRhK0QYuppKoa2qiu3QxhicPvr/SV0ePzkJkZwx+K0UR3qRNTmaWNXxS52lO+gyd0EaJUHS2xLuDHnRhYmLZQkrRBCCCHEWCu+cjsEVVHwlBQDg4tpK5qc/O1oFQD3bsgn0jK1UwGKqnCy8STby7ZzrP5YcMGwOGscW7O2sjlrs7Q4EEJMaFP7p7QQYnrqboeQtRLM/d8tH0rCtqiihd3nG9DptD5fxina50tVVc63nOf1stc5XHsYv+oHIMocxabMTWzL3oYt3BbiUQohhBBCTBPeTqg8rD3O39xvt6+yEtXlRhdmxZSZedVLKYrKL3ZfIqCorMiJZ03+tWeYTVYd3g72Vu1lR/kOajtrg9vnJ8znhpwbWJa8DKNe0iBCiIlPflIJIaYWVYWSPdrjAdohwOATth5/gP/ao1Uu3LIglZnJUaM2zInC5Xexv3o/28u2U9FeEdw+M24m27K3sTp1NSaDLBgmhBBCCDGuyrvaIcRmQnxev93BeDYvH53+6gUF28/Uc6bWgdWk596NeVNyLYaS1hJeL3+dA9UHgovihhnD2Jixka3ZW8mIygjxCIUQYmgkYSuEmFqaLvW0Q8ha3W+3v6mJQFMz6PVY8vv3Auvtz29XUtfmJiHSzL+szh6rEYdEZXslO8p3sLdyL+6AGwCz3sy69HVsy9lGXkz/PwyEEEIIIcQ46b0ewwAJ1mDCdubMq16mpdPLMwe0tRjuXpWNLWrqrMXgC/gorC3k9bLXudR6Kbg9OyqbG3JuYG36WsKMYSEcoRBCDN+kmdubk5ODTqfr8/H444/3OUZVVX784x8zc+ZMLBYL6enpfP/73+9zzJ49e1i6dCkWi4WCggKeeeaZfs/1i1/8gpycHKxWKytXruTw4cNj+dKEEKOpO7jNWnXVdgjmrCz01isHrGWNnTx/rBqAz6zPJ9w8+d/f8it+DtYe5JHCR/jq3q/yetnruANuUiNSuWfuPTy97Wk+s+gzkqwVQogxJDGtEOKaPB1Q1d0OYWQzxv7nzRI6PQHykyK4deHUWIuhvrOeP579I59947P84vgvuNR6CaPOyNq0tTy65lF+uP6HbM3eKslaIcSkNqkyEI8++iif/vSng19HRfWdnvylL32J7du38+Mf/5gFCxbQ3NxMc3NzcH9paSm33HIL9957L3/84x/ZuXMnn/rUp0hNTeXGG28E4M9//jP3338/Tz/9NCtXruSpp57ixhtv5Pz589hs0r9RiAlNVXv6114puL1w7eBWUVR+vvsSiqKyKi+e1ZO8z1eTq4ldlbvYWb6TFk8LAHr0LE9Zzg3ZNzAvcZ4sIiaEEONIYlohxFWVH4CAD+KyIS63327F5cJbqS0gZpl55Zj2aHkzb15sRK+Dz2+egUE/eVshKKrCcftxtpdv57j9OCoqAIlhicFFxGIsMSEepRBCjJ5JlbCNiooiJSVlwH1nz57ll7/8JadOnWLWrFkA5Ob2/eX29NNPk5ubyxNPPAHAnDlz2L9/Pz/5yU+Cwe2TTz7Jpz/9aT7+8Y8Hz3nllVf4zW9+wwMPPDBWL00IMRoaL4CjBoyWAdshQO/pY1cObv95qo7zde2EmQx8ZsPV2yZMVKqqcqbpDK+Xv87btW8HV8aNMcewJWsLW7K3kBiWGOJRCiHE9CQxrRDiqkqu0Q7hUjEoCobEBIxxcQNewu0L8F+7tbUYbluURoEtcsyGO5YcXgd7Kvewo2wHdpc9uH1R0iJuyL6BpclLpfBACDElTaqfbI8//jgJCQksWbKEH/3oR/j9/uC+l156iby8PF5++WVyc3PJycnhU5/6VJ9qhMLCQrZu3drnmjfeeCOFhYUAeL1ejh492ucYvV7P1q1bg8cIISaw7sXGslaDqf8UKDUQwFOsBa5XqrBt6vDwu8IyAP5ldTaJkZaxGOmYcfqcvFb2Gl/Z+xUePfgoh2oPoaAwJ34OX1ryJX6x9Rd8YPYHJFkrhBAhJDGtEOKKPO1Q9bb2OG/jwId0FSBYrzJj7NlDFdjbPSRFWfjIysm1FoOqqlxsucjPi37Ov73xb/zx7B+xu+xEmiK5JfcWfrrppzy08iGWpyyXZK0QYsqaNBW2X/ziF1m6dCnx8fEcOHCABx98kNraWp588kkASkpKKC8v569//Su///3vCQQC3Hfffdx1113s2rULgLq6OpKTk/tcNzk5GYfDgcvloqWlhUAgMOAx586du+LYPB4PHo8n+LXD4QBAURQURRmV138liqKgquqYP89UJfdv+CbcvVNVdMXa/3U1dwMMMC5veTmKx4PeasWQmjrg2P/f3mKcXj8zbVG8a17ymL2+0b5/5Y5ydpTvYH/Nfjx+7eeR1WjVFhHL2kZWdFaf557MJtz33iQj929k5P4N31Du3VS+vxLTDkz+bw2f3LuRmXD3r3Q/uoAP4nJQY7MHjGndFy6gAqaCggHHXdLYyQvHq1FR+dfrc7EYdWPy+kb73nkCHg7UHGB7+XbK2sqC23Njcrkh+wZWp63GYrAEn3uym3Dfe5OM3L/hk3s3MuMV04Y0YfvAAw/wwx/+8KrHnD17ltmzZ3P//fcHty1cuBCz2cxnPvMZHnvsMSwWC4qi4PF4+P3vf8/MrpUyf/3rX7Ns2TLOnz8fnFI2Fh577DEeeeSRftsbGhpwu91j9ryg/eO3tbWhqip6vby7OFRy/4Zvot07Q/MlYlsqUQ0Wmq15YLf3O8Z75Ah+nw9Dfj4NjY399hdVtbPvfD16HXxwYSyNjQ1jNt7RuH9+xU9RcxH76vZR3F4c3J4alsr6lPVcl3idttiCG+zu/vdjsppo33uTjdy/kZH7N3xDuXft7e3jNKrRITHtyMn/reGTezcyE+3+RZ1+FbPfhzNxKa4B4llVVek4fRrV56MzIQHPZccoqsoT28vwen0sz4wiJ8KPfYDrjIbRund2l5199fs4aD+IM+AEwKQ3sSxhGetT1pMTmQNAW1PbaAx7wpho33uTjdy/4ZN7NzLjFdOGNGH7la98hY997GNXPSYvb+DVyleuXInf76esrIxZs2aRmpqK0WgMBrag9fMCqKioYNasWaSkpFBfX9/nOvX19URHRxMWFobBYMBgMAx4zJX6jAE8+OCDfYJvh8NBZmYmSUlJREdHX/X1jZSiKOh0OpKSkuQ/2jDI/Ru+CXfvSv+OzmiCvPXY0rIGPKTRbsdvMhGzcAFxly244vIG+PM/KzCajLxnSTrLZw18jdEymPvnC/ho97XT6eukw9vR53Gzu5kDtQdweLTqJ4vJwnUp13FD9g3Mjp+NboB+Z1PFhPvem2Tk/o2M3L/hG8q9s1qt4zSq0SEx7cjJ/63hk3s3MhPq/nkc6JrPgNFE1KLbiIrrv0Cgv7ERl9OJzmImZfly9Ja+7bteOlFDpcNPTISVL980n/gI85gNdzD3TlEVnD6nFsP6Omj3tgcfd/g6ON98npONJ7WDdZAenc7W7K1szNhIlDlqwGtOFRPqe28Skvs3fHLvRma8YtqQJmyTkpJISkoa1rnHjx9Hr9cHV7ldu3Ytfr+f4uJi8vO1RYIuXLgAQHa21rNn9erVvPrqq32us2PHDlav1hYnMpvNLFu2jJ07d3LnnXcC2j/Ezp07+fznP3/FsVgsFiyW/n0u9Xr9uHzz63S6cXuuqUju3/BNmHunqlC6R3ucvxndFcbjvVSMDrDOnNlvzH96u4ymDi8p0VY+vDJ71F6Tqqp4FS/t3nY6vB3BANXhcVDbVIuuWYfT7+wfwHo78Crea14/LiwuuDJuvDV+VMY8GUyY771JSu7fyMj9G77B3rvJdm8lph0d8n9r+OTejcyEuX8VhaD4IT4XXcLAb/L4irV41pyVjTGs75oNDe0e/nioEh06PrYmh8So0XvzS1GVfkUEDo+DmsYaDG0GOv09MWzvz52+TlTUq15bp9OxxLaEG3NuZGHSwmnVl3bCfO9NUnL/hk/u3ciMR0w7KXrYFhYWcujQITZt2kRUVBSFhYXcd9993H333cR1rYq5detWli5dyic+8QmeeuopFEXhc5/7HNu2bQtWKNx77738/Oc/5+tf/zqf+MQn2LVrF3/5y1945ZVXgs91//33c88997B8+XKuu+46nnrqKTo7O4Mr7AohJqCGc9Bepy00lrlywEMUpxNfVRXQf8GxS/Z2XjpRA8BnNxZgNRmu+ZS1HbWUOcro9HUGE63tvp6kbO/kq0/x9b+ACj6/D5PRBFcphtWjJ9IcSaQpMvg5whRBlDmK2fGzWZa8DKN+UvwoF0KIaU9iWiHEVRXv1j7nbbriId0Ljg20gO7/21uMyxdgdkoUN867cjV9N1/Ax+mm0zi8jp541tseTLh2x7edvk46fZ39LzDIeBbAarASae6KY01RRJi1zwlhCaxLX4ctvH81sRBCTGeT4q98i8XCc889x8MPP4zH4yE3N5f77ruvz5QtvV7PSy+9xBe+8AXWr19PREQE73rXu3jiiSeCx+Tm5vLKK69w33338dOf/pSMjAx+9atfceONNwaP+cAHPkBDQwPf/va3qaurY/Hixbz22mv9Fm0QQkwg3cFt1mowDVxJ4CkuBlXFmJSEseuPYoCAovKfuy6hqLB+ZiLLsuMGPL+3FncLX9/39UFVwHYz6Az9kq46rw5brI0YSwwRpog++7s/W43WaVVlIIQQU5nEtEKIK3I7oPqI9jhv4xUPCyZse7VNAThQ3Mih0mb0eh2f31yAXn/t9ljPnnuWV0tfveZxvYUZw4IJ1whjBHqfHluMjShLVE8c2xXLBpOzpghMBtOQnkcIIaa7SZGwXbp0KQcPHrzmcWlpaTz//PNXPWbjxo0UFRVd9ZjPf/7zV50uJoSYQFQVSroStvlXqUa4MHA1wksnaihp6CTCYuDT1w889exy+6r24VW8xFpiKYgtINIcGQxGo8xRAyZfrQZrn76yiqJgt9ux2WwyDUUIIaYJiWmFEFdUth+UACTkQ1z2gIeogQCe4hIALDN7Ylqn189/79O237U0neyEiGs+nTfgZW/VXgDmxM8hzhpHlDmqz2yuy2PaCFNEn5ldEs8KIcTYmRQJWyGEuCL7Geiwgyn8iu0QoHc1Qk9wW+9w878HywH4+NpcYsOvvSiDqqrsrtQSxB+Y9QE2Z20eyeiFEEIIIYToKUC4SjsEb0UFqseDPjwcU1pacPvvC8tp6vCSGmPl/SsyB/V0b9e9Taevk8SwRL69+tsyo0sIISYY+akshJjcSvZon7PXgLH/QimgJVkv7/elqiq/3FOMx68wLy2abXMGN0X0QssFajtrsRgsrE5bPeLhCyGEEEKIac7dBtVHtceDaIdgLsgPLrJ7rs7BqydrAfi3TQVYjNdeiwEIFiBsyNggyVohhJiA5CezEGLyUpSehO1Vglt/QwOB1lYwGDDnaW0P9l9q5Gh5Cwa9js9tGlyfL+gJblenribMGHaNo4UQQgghhLiGYDuEAoi9coXs5S2+/AGFn++6hKrCpllJLM6MHdTTNTgbONV4CoCNmRtHNHQhhBBjQxK2QojJa4jtEMzZ2ejNZjo8PX2+3rc8g8z48EE9ncvvorCmEIANmRtGOHghhBBCCCHoWUD3KgUI0BPTWrsSti8cr6G8yUmU1cgn1w1uLQaAvVV7UVGZlzAPW7htWEMWQggxtiRhK4SYvLqra3PWgvHK/Wcvb4fwuwNltDp9pMVaed+ywfX5AjhUewh3wE1KeApz4ucMe9hCCCGEEEIA4GodVDsEpbMTX3U1oMW0dW1u/nS4AoBPrM0lJtw0qKdTVIW9ldpiY1JdK4QQE5ckbIUQk1OfdghXXpwBeidsCzhT4+C1U3UAfH7TDMzGwf8Y3FOpPd/GzI3odINroSCEEEIIIcQVlb0JqgKJM67eDqG4GFQVo82GPiaG/9pzCa9fYUFGDFvmDL5K9mzTWewuO2HGMFamXnmGmhBCiNCShK0QYnKyn4bOBjBHQMaKKx6m+v14i7X2B4b8An6x+xIAW+cksyAjZtBPV9tRy9nms+jRsz5j/cjGLoQQQgghBPRqhzDYAoQZ7L3QQFFFKyaDthbDUAoJutdjWJu2Foth4AV7hRBChJ4x1AMQQoggRQHFP/BHwNf36zMvaudkX70dgreiAtXnQx8ezsu1ChXNTmLCTHxiXc6Qhra3Sps6tjBpIQlhCcN9hUIIIYQQYipTVa1idqD4Nfh1QPvs7YSaIu28a/Wv7VpwTM3J5VdvlgLwgRWZpMcOfhFcp8/JwdqDgLRDEEKIiU4StkJMd4oCAQ/4uz/cfT8HBtjmd4PPQ0RrI4Rbu4JSX69ANNDr60EmYAM+7TpDlX+NaoSu4NaXlcNzR6sA+OT1uURZB9fnC7p6fVVJry8hhBBCiAlJVbV40u8Gv7fr80Ax7QBxrc9NhKMFwqyg+i+LZ7tj1a6vg/Hr5V/7+8a/qjq08SfNgpj0q7w8NVhh+0pHOG0uH1nx4bxnacaQnuZAzQF8io+MyAwKYguGNkYhhBDjShK2QkwGigI+p/YuvLej66MTvE4t2LxSADpgEvby4NU7rCHpAKvfh844+MTnsBhMoDf2/zAYIT4fMq676undwe3+QAy+gMqSrFg2zkwa0hDeaXiHZnczkaZIlicvH/ZLEUIIIYSY1vzeXnFsZ09s63N1xbTeAeLWy7dd4fNw3vhnnGJanb5/TNv9tdEKyz5+1dP99gYCbW24FHix2QQG+LdN+ZgMQ+tw2N0OQdZjEEKIiU8StkKMNUUBv6tXsrUTPB19v+73uL1vIOtzDv2d+uEwmMFo0QLH4Ger1nKgzzYLqsGC0+kmKiYencHUFXQaQN87GDX0Ck5NA3/dJ2jtdb7BpAW3IwwmPRcv4nD7OKqLx2TQ8dmN+UMOULuD2+vTr8dkGOMEtRBCCCHERHSlZOtQHg+zUGBIdPp+ceuV4lmMVlS9CafTQ1RM3MAxrcHYK3YdKMa9LAE74MfIlo7xXLyIqsI5YxwBg4mb5qcwL23wazEAVLZXcqn1EgadQdZjEEKISUAStkIMhRKAzkbotENHPXQ0XFbx2hWUenp97escvWSrwaQtsmWO1D6bwsEUNkBAagGD5bKka+9jLP3PMViGFkwqCi67nSibbcRB6FgJdHTirqyiscNLfXwaH7oui9SYwff5AnB4HRypOwJIOwQhhBBCTBGejq54tiumdbVcu6BgNJOt5oi+H6aIARKqA8W0l8ezAyRm9cahveE/CWJaz8WLtDi9lKQmExtu4qOrs4d8jT2VewBYYltCjGVoyV4hhBDjTxK2QnRTVfC09wSuHfU9j7sD2s7GYU+3Qm/UAlJL1GVBauQVHg9w3FUW1xL9eYsv0djhoSUsBlt6Eu9ecuXeYFfyVvVb+FU/OdE55MTkjP4ghRBCCCFGU8Cnxay9Y9nux90xrbdz+Nc3hV8hdr08zr1CjGuKmLCJ0Ymq+dRZmp1e6uPT+fT1eUNaiwHAr/h5s+pNADZlXn39ByGEEBODJGzF9OH3Xhas1kN7PVEN5eiUrkSt333t6+iNEJEEkTbtwxI9uADVYB7x9H4xNBcPnqDd7ac+K53Pby7AOMQ+X9DTDmFTlgS3QgghhAgxVdWqYXsnX9vriLSXoVM7tK9dzYOb3WWNhggbRCZDePxViggiwRIpydYQCXi81Jw8ByokLZzD9TMSh3yNInsRbd42YswxLLYtHv1BCiGEGHWSsBVTg6JowWmwiqBXUrajK5h1tfQ7TQeY/T7ovchAWJwWuHYnZLsfdwe0YXESqE4CHn+Ak/uPYQNSFs9jdkr0kK9R2lZKuaMco97IurR1oz9IIYQQQojefK6e2LW7MrazoW9Me1lrAh1guTyeNZj7xrHBx8k9hQemobWJEqGxd/cxAi4PXksYH71z5bAWC+suQNiQuQGjXlIAQggxGchPazE5udugZC+UvQmtlVogq/ivfZ4prE/yVY1IoiNgISZtBrroFG27tB2YEv5yuIKY2goMeh2b37VqWNfoDm5XJK8g0hw5msMTQgghxHSnKGA/A8U7ofYdLSnrab/2eTodhCcEk69qhI1OxUp0aoEWz0bawBorM7umgFanl7d2HGYVEDt3FilDXIsBoNXdSlF9EQAbMjaM8giFEEKMFUnYisnD2wllb8GlN6D6iLYAWG86fVfFQNJlFQTJPdUFlqi+waui4LHbYQIvMiCGrqLJyfY3T/NRj5Ok+AhiZxYM+Rq+gI+3qt8CZLExIYQQQowSVYWmS3BpJxTv0pK0lzNH9opne83y6q6SjUjUFqLtpii47XaiJZ6dcn71Zimx9ZWYjXpmr148rGvsq96HgsKM2BlkRGWM7gCFEEKMmSEnbP1+Pz/5yU/405/+xIULFwCYOXMmH/7wh/nSl76EyTS0BuhCXJXPDRWFWkBbcbDvFLDEmZC/GVLmd/XeSgC9IXRjFROCoqj8566L2BqrCLcYiZ9VgM489Krpt+vfpsPXQbw1noVJC8dgpEIIIUJJYloxrlrKtHj20k5oq+rZbgqH3OshZx3EZGjJWYvM6hFwtLyFvRca+GhzNbZoC2GzZg75GqqqsqdyDyCLjQkhxGQzpISty+Vi27ZtFBYWsnXrVtavXw/A2bNn+cY3vsGLL77I9u3bsVqtYzJYMU0EfFD1thbUlr0FPmfPvtgsKNiiJWpjs0I3RjFhbT9Tx7m6dra01mKLsmCdOWNY1+kObjdmbESvk2oVIYSYSiSmFePCUavFs8W7tKrabgYzZK/R4tms1dKOS/Tj9gX45Z5LWLwusgPtWMMsWAqGPmPsYutFqjuqMevNrE5bPQYjFUIIMVaGlLB9/PHHqayspKioiIUL+1acnThxgttvv53HH3+chx9+eDTHKKYDRYGaIi2gLd3bt39XVKoW0OZvhoR86cclrqi508tv3yoDYJW+DaNeh2Xm0KsRGl2NvNPwDqAtziCEEGJqkZhWjJnORijZo8W09ad7tuuNkHmdFs9mrwVzeMiGKCa+5w5XUO/wsMDVQEKEGWNqCobooS+g212AsDJ1JeEm+Z4TQojJZEgJ2+eee44nn3yyX2ALsGjRIn784x/zzW9+U4JbMTi9F1oo3g2ulp594QmQv0kLam1zJUkrBuV/3izB6Q0wM8FKcpvWE84yY+gVtvuq9qGiMid+DikRKaM9TCGEECEmMa0YVd2L4RbvgtrjWp9a0NZXSFuixbO568E69ISbmH5KGzv5e1E1AHfFe9DrdMOKZ91+d3A9hk1Z0g5BCCEmmyElbMvLy7nuuuuuuH/VqlVUVFSMeFBiCrvaQguWKMjbqAW1qYtl0QQxJG+XNbP/YiN6HXy2wAw+H/qoKIwpQ0u4KqrC7srdAGzO2jwWQxVCCBFiEtOKEeteDLd4p9bKq/diuMnzoWAz5G2C8PjQjVFMOoqi8vNdl1BUWJOfQFrRPlyAdRgJ28N1h3EH3NjCbcyJnzP6gxVCCDGmhpSwjY6Oxm63k5mZOeD+uro6oqKiRmVgYoppKe/q4bUTWit7tpvCtUUWCrZC+jIwDHkdPCFweQP8ck8xALcvTsfWdI4mwFJQgG6I1dnnms9hd9qxGqxcl3LlP+aFEEJMXhLTimHxe7TFcC/tHGAx3BmQv0WbIRYls3PE8Lx6qpYL9e2EmQx86vpcnH+5CAxvxlh3AcKmzE2yHoMQQkxCQ8qObdq0iR/84Ac8//zzA+5//PHH2bRJpluILlddaGG1FtRmrQKjJXRjFFPCHw+V09DuwRZl4SMrs2j/5UvAyILbNWlrsBplsRkhhJiKJKYVg3bVxXAztXi2YIsshitGrLHDw+8PlAPw0TXZxHa20tHejs5oxJydPaRr1XXWcabpDDp0rM9YPxbDFUIIMcaGlLD9zne+w8qVK1m1ahX3338/s2fPRlVVzp49y09+8hPOnDnDwYMHx2qsYjLobIKS3QMstGCAjOu0gFYWWhCj6JK9g5dO1ADw2Y35WE0GGi5cAIaesHX6nBys0X6GbczcOKrjFEIIMXFITCuu6qqL4aZ0LYa7RRbDFaPqv/eV4PIFmJkcxc3zU3HufxMAc24uOrN5SNfaW7kXgAWJC0gMSxz1sQohhBh7Q0rYzp07lx07dvDJT36SD37wg8GpxqqqMnv2bLZv3868efPGZKBiArviQgu6roUWtshCC2JMBBSVX+zW+nytm5HI8px4Au3t+GvrALDMHFrCtrC2EK/iJT0ynZlxM8diyEIIISYAiWlFP6qqFRsMuBhuvNaPtmCLLIYrxsTBkiYKi5vQ63V8fnMBer0Oz8XhtUNQVIW9VVrCdlOmzBQQQojJasgNQ1etWsXp06c5fvw4F7qq2GbOnMnixYtHe2xiovN7Yd9/aInagRZayN0IEQmhGp2YBl5+p4ZL9g7CzQb+9fo8ADwXtfYbprRUDJGRQ7renso9gFZdO9Tet0IIISYXiWlFUOXb8OaPob2uZ5slCvI2aIUHshiuGEMub4Cn92prMbx7cRq5iREAeC50JWyHWIBwsvEkTe4mIk2RrEhZMbqDFUIIMW6GvcLT4sWLgwGt1+ulo6ODyCEmR8Qkd/AXcHGH9jihQFs4LG8jRKeGdFhierC3u/nfg1qfr4+vzSEuQpsqNtxqhKr2Ki60XECPnvXp0utLCCGmC4lpp7m2KnjjO+Dt7LUY7pauxXBNoR6dmAb+cLCMpg4vydFWPnid1gtZ9XrxlpUBQ49puwsQ1qavxSTfw0IIMWkNOWH729/+lmPHjrFq1So+8pGP8NBDD/HEE0/g9/vZvHkzzz33HAkJUlU55V3aCadf0B7f+H0tuBViFCmKisPto6nTS/MAH2WNnbh9CnNSo7hhbs9qzMNN2HZPHVuSvIRYa+yovQ4hhBATk8S0Ar8HdnQla1Pmw81PgEkWHBWjy+0L9IlhW5xemjq0x02dXk7XtAHwuU3aWgwAnrIyVL8ffXQUxuTkQT9Xh7eDw3WHAVmPQQghJrshJWy///3v8/3vf5+1a9fy7LPPsn//fl544QUeffRR9Ho9P/vZz/jWt77FL3/5y7Ear5gIWsph34+0x0vulmStGBJVVXG4/V1Bq4fmTh/NnR6aOr20dAWuWjDrQ1HUq14rzGTg85tmoNf39B4cTsLWr/iDizNIry8hhJj6JKYVALz1M2i6BGGxsOVhSdaKIfH6lcuSrx4thu300uzs2tbhxekNXPNa2+YmsyQrLvh1MJ4tmDGkNl37a/bjV/xkR2eTG5079BclhBBiwhhSwvaZZ57h17/+NR/60Ic4cuQIK1eu5C9/+Qvvfe97AZg/fz733nvvmAxUTBA+F+z4tvY5bTEs/0SoRyQmCFVV6fD4+1QQBJOvfRKxXvyBqydiu+l0EBNmIj7CTHyEmYQIM3Hdn8PNzEyOCrZCAPDX1qJ0dKAzmTBnZw967Mftx2nzthFjjmGJbcmQX7sQQojJRWJawYXX4dzLWrCx+dsQmRTqEYkJwhdQepKuHX2Tr73j3A6Pf9DXtBj1WiwbqcWw3bFtfIQZW5SVOalRfY4PJmyH2L+2ux3CpsxNsh6DEEJMckNK2FZUVLBunVZNuXz5coxGI/Pnzw/uX7hwIbW1taM7QjFxqCq8+SS0lGmr5W75DugNoR6VGEduX4DqVhcVTU7Kmzoprm3CrdbT0hXI+gaZiIW+idi4cDPxkVoitndiNjbMhNEw+EU+uoNbc14eOtPge3Z1B7fr0tdh1A+7tbcQQohJQmLaaa6pGN58Qnu89B7IWBba8YhxpaoqTZ1eypucVLU4qWjqpKKhFZdSQ4vTi8M1+ESsyaAjPsJCfISJ+AhLMJa9/CPcbBhSArV7EV3rEGaMlbWVUdpWilFnZG362kGfJ4QQYmIaUmbC5/NhsViCX5vNZky9kiJGo5FA4NpTPsQkde5luLgddHrY8m0taSumJLcvoAWwzU4qmpxUtrgob3Jib3ejduVkVVT8Pj9GkxEdPQFopMU4YPI1visp252gNQ0hETtYw2mH0OZp45j9GCDtEIQQYrqQmHYa8zq1Rcb8HshYriVsxZSkqioNHR4qm7tjWhcVzU4qm524fD3/vweKaQ163RWTr1p8ayEuwkSkxTjqlawBhwN/XR0A5oLBx7TdBQjLUpYRbY4e1TEJIYQYf0MuJTtz5gx1Xb9AVFXl3LlzdHR0ANDY2Di6oxMTR+NFrc8XwIpPQppMG58KXF4tMVve5KSyK0Fb2eyk3uG54jlRViPZCeGkx4YRpfeRl5ZIYpQ1mIg1G0c/ETtYw0nYvln9JgE1QEFsAZnRmWM1NCGEEBOMxLTTkKpq6zC0VkJEEmz+FuhDF7eI0aEoWmK2p9BA+1zV4uqTmO1Nr9eRHmslMy6cjLgwLIqbvPQkEiOtxEWYibaOfiJ2sDyXtOpaU1oahsiIQZ3jC/jYX70fgM2Zm8dsbEIIIcbPkBO2W7ZsQVV7pj3feuutAOh0OlRVlV45U5GnQ1tBN+CFrFWw6MOhHpEYIqfX35WM7aksqGh20tB+5cRsTJiJzPhwsuLDyYwPIzs+gsz4MGLDtZ6xiqJgt9ux2RLRT4A/dlSvF09ZGTD4hK2qquyu2A1Ida0QQkw3EtNOQ6f/DsW7tNliW78DYXHXPkdMGIqiYm/3UN7USWVLT0xb2ezE41cGPMeg15EeGxaMabs/UmOtwdlePTFt3ISIaT0Xhl6AcNR+lHZfO/HWeBYmLRyroQkhhBhHQ0rYlpaWjtU4xESlqrD3cXBUQ2QybHpIKhEmsA6PP5iMDU7/anbS1OG94jmx4aaupGxPEJsZF05M+OB7wE4EntJS8AcwxERjtA1u4ZDi1mKqOqow6U2sSVszxiMUQggxUUhMOw3Zz0HhL7THK++FlAWhHY+4IkVRqXO4g3FsVbOT8matYtZ7hcSs0aAlZrtj2uyuz6kx1iGthzAReC5cAIa24Fh3AcKGjA3odZPr9QohhBjYkBK22ddYdb21tZVXX331mseJSeTk36D0TdAbYdsjYI0J9YgEWmVodauLU9UOKpudlDd3UtnsornzyonZuAgzWfFhPUnZro9o6+RKzF5J72qEwVZF7a7UgtuVqSsJN4WP2diEEEJMLBLTTjNuh9a3VvFDzjpY+P5Qj0h0cfsCnK5po9je2ZOgbXFecSFbk0FHRpw2+6t3wUFqTBgG/eSvilcVJdgSYbAVtk2uJt5peAfQErZCCCGmhlFdDr28vJx/+Zd/4cMflinzU0LdKTj0S+3x6n8D25zQjmea6/T4OVHZSlFlK8fKW7BfoZ1BQqQ5mJTNiAsnO0HrzRU1RRKzVzLU/rWegIe3at4CpB2CEEKIviSmnUIUBfY8Bu11EJ0GGx8AaXcRMqqqUtrYSVFFK8cqWjhT68A/QHLWZND1tOaKCycrQUvOpkRbp0Ri9kr8tbUonZ3oTCbMg3zDaF/VPhQU5sTPITUydYxHKIQQYryMasJWTCGuVnjjYVACkL8J5r0n1COadhRF5aK9g2MVLRwrb+FCfTtKr3jWaNAxJzWavMQILUGboAW0EZbp+d96qAnbw7WHcfld2MJszE2YO5ZDE0IIIUSovPMclB8Agxm2PgKWqFCPaNppc/ooqmzhWEUrRRUttDp9ffbboizMS4vuac+VEE5ylBX9FE7MXom7K5415+WhM147pldVlT2VewDYmLlx7AYmhBBi3E3PzI64OkWB3d+HzgaIyYD1X5dKhHHS2OEJVhwcr2ilw+Pvsz89Noyl2bEszYpjfnoMVpMhRCOdWAJtbfjtdgDM+QWDOqc7uN2QKb2+hBBCiCmp5jgc/h/t8ZovQNLMkA5nuvAFFM7XtQeLDoobOvvstxj1LMiIYWlWHEuz40iLscoif12GWoBwrvkcdc46rAYrK1NXjuXQhBBCjDNJ2Ir+iv4AlYfBaIFtj4JZenuOFY8/wKlqB0UVLRRVtFLR7OyzP9xsYHFmLEuy4liaFYst2hqikU5s3cGtKSMDQ2TENY+3O+2cajqFDp30+hJCCCGmImcz7HwUVAVm3ABzbgv1iKa02jYXx8q1ooOTVW24fIE++3MTI1iSpRUdzEmNxmyUN8sHEkzYDnLBse4ChFVpqwgzho3RqIQQQoTCkBK2P/vZz666v7q6ekSDERNA1VE4+lvt8br7ICE/tOOZYlRVpbLZpVUcVLRwqrqtz6IKeh0U2KKCVbQzk6OmdJ+u0TLUaoS9VXsBmJ84n6TwpDEblxBCiIlJYtopTlFg13fB2QRxOXD9/TJbbJS5vAFOVGkJ2qKKVura3H32x4SZggnaxZmxxEWYQzTSyUPxevGWlQODi2ldfhcHaw8CsDlz85iOTQghxPgbUsL2Jz/5yTWPycrKGvZgRIh1NmrBrarCrJth1rtCPaIpweH2cbyilaKKVooqW2jq8PbZnxBp1qaEZcWxKDNmyi8ONhaGkrBVVCVYjSCLjQkhxPQkMe0Ud/Q3UH0MTGGw7RHtsxgRRVEpaezgWLkWz56pbUfptbiCXq9jbmpU16ywOPISI6ZlD9qR8JaWQiCAISYGY9K1CwoO1hzEHXCTGpHKzDhp9yGEEFPNkBK2paWlYzUOEWpKAHY+Aq4Wrap23ZdDPaJJK6CoPX27Klq4ZO9A7bVYmMmgY0F6DEuz41iSGUdmfJj07RoBVVHwXLwEDC5he7rxNI2uRiJMEaxIWTHWwxNCCDEBSUw7hVUcgmN/0B5f/1WtwlYMS3Onl6KuePZ4ZSsOV9+1FVJjrF3xbCwLM2IJM8vaCiPhudBTgDCYvw12V+4GtAIE+VtCCCGmniElbG+++Wb+9Kc/ERMTA8Djjz/OvffeS2xsLABNTU1cf/31nDlzZtQHKsbY4f+B2nfAFK6toGu0hHpEk0q9w90V0LZyvLIVl7dv366shHCWZsWxJCuWeWnRWIwS0I4WX00titOJzmzGnH3taqju4HZN2hrMBpmeJ4QQ05HEtFNUhx12f097PPd2mLE1tOOZZLx+hTO1jmBMW9bYd7GwMJOBhRla0cHSrDhSYmRthdE0lP61NR01nG85jx4912dcP9ZDE0IIEQJDSti+9tpreDye4Nc/+MEPeP/73x8Mbv1+P+fPnx/VAYpxUPYWnPiT9njjNyA2M7TjmSQqm528dqqOI+XN1LT27dsVaTGyJEtbLGxJViyJkZIAHyueixcAMOfnoTNcPRHe4e3gcN1hQNohCCHEdCYx7RQU8MEbD4PbAYkzYfUXQj2iScHrV9h7oYG3LjVysroNr18J7tPpoCApMhjTzk6JwmiQxcLGylBafHW391psW0y8NX4MRyWEECJUhpSwvZzae563mJwctbDnMe3x/PdC3saQDmcyOF/Xzt+OVnKwpDm4Ta+DWSlRWi/a7DgKkiKlb9c46Z4+Zh1EcHug5gA+xUdWVBZ5MXljPTQhhBCThMS0U8Ch/wf1p8EcqfWtNcosmqtxeQO8drqWF4pqaO7sWV8hNtwUjGcXZ8QSEy5rK4yHQGsrfrsddDosBQVXP1YJsK9qHwAbMzeOw+iEEEKEwogStmKS83vhje+Apx1sc2HVZ0M9oglLVVWOVbTyt6NVnKpuC25flRfPptk2FmXEEmGR/06hMJxqhI2ZG6XXlxBCCDFVlOyBk3/VHm96EKLTQjqciazN6ePFd2p45Z0aOj1aC6/4CDO3LEhlRW48OQnhEiOFQHc8a8rIQB8eftVjTzScoMXTQpQ5iqXJS8djeEIIIUJgSBkmnU7X7xe4/EKfxAp/Dg3nwRIFWx8Gg7yDfjlFUXmruJG/Ha2ipEHr46XX69g8y8Z7lqaTGX/1gEqMLcXjwVteDlw7YVvhqKC4rRiDzsC69HXjMTwhhBATlMS0U0hrJez5ofZ40QchR37HD8TucPP3omq2n6kPtj1Ii7Vy17JMNsxMwmyUVgeh5A4WIFy9uhZ6ChCuT78ek17+fhNCiKlqSAlbVVX52Mc+hsWi9eN0u93ce++9REREAPTpBSYmuItvwJl/aI83/ztEJYd2PBOM16+w61w9zx+rpq5N609rMeq5aX4KdyxOJylKetJOBN6SElAUDLGxGBITr3ps92Jjy5OXE2OJGY/hCSGEmKAkpp0i/B5ttpjPCSkLYMWnQz2iCae8qZPnj1ax90IDSlfnjwJbJO9blsGqvARp4TVBDHbGWJunjaP1RwFZj0EIIaa6Ib2Ves8992Cz2YiJiSEmJoa7776btLS04Nc2m42PfvSjYzLQnJycYDVE98fjjz8e3P/www/326/T6YKBd7e//vWvzJ49G6vVyoIFC3j11Vf77FdVlW9/+9ukpqYSFhbG1q1budj1C3TKaCmDN3+sPV5yN2StDOlwJhKn18/zR6v45O/e5he7i6lrcxNpMfKh67L4zcdX8Knr8yRZO4H0rKY786qVUT7Fx5vVbwLS60sIIYTEtFPGWz+FpmIIi4Ut3wGDtKfqdrbWwXdfPsPnny1i93ktWbsoM4bv3jmfJ9+/iDUFiZKsnSBURcF78RJw7YTt/ur9+FU/+TH5ZEVnjcfwhBBChMiQoprf/va3YzWOQXn00Uf59Kd73jmPiooKPv7qV7/Kvffe2+f4LVu2sGLFiuDXBw4c4EMf+hCPPfYYt956K88++yx33nknx44dY/78+QD8x3/8Bz/72c/43e9+R25uLv/+7//OjTfeyJkzZ7BarWP8CseBzwU7vqN9TlsCyz8Z6hFNCK1OL6+crOPld2pxerV+XgmRZt69JJ0b5qYQZjaEeIRiIIOtRjhWf4x2bztxljgWJS0aj6EJIYSYwCSmnQIx7fnX4NwroNPB5m9DZFKoRxRyqqpytLy5a80FB6DdntV5Cdy1LIMZyVHXuIIIBV91NYrLhc5iwZx15SSsqqp91mMQQggxtU2qt6GjoqJISUkZcF9kZCSRkZHBr0+cOMGZM2d4+umng9t++tOfctNNN/G1r30NgO9+97vs2LGDn//85zz99NOoqspTTz3Ft771Le644w4Afv/735OcnMwLL7zABz/4wTF8deNAVeHNJ7UK2/B42PJt0E/vflX1Djd/eLuOg5XF+ALaPLGMuDDeuzSDDbOSMBmm9/2Z6DwXBpewDfb6yrgeg16S70IIIUJLYtoRaiqG/U9qj5d9DDKWhXQ4oRZQVA6WtfHGrhrKm5wAGPQ6Ns/W1lzIiJM1FyayYAFCfj46w5Xj1JK2EiraKzDpTaxJWzNewxNCCBEikyph+/jjj/Pd736XrKwsPvzhD3PfffdhNA78En71q18xc+ZMrr/++uC2wsJC7r///j7H3XjjjbzwwgsAlJaWUldXx9atW4P7Y2JiWLlyJYWFhVcMbj0eT59eZw6H9o62oigoijKs1zpYiqKgqurgnufcy+gubgedHnXzt8EaC2M8vomqrKmT549W8+bFBrw+P0ajkZnJUdy1LJ3rcuKDU8TG+t9vMhvS994YCLS24mtsRKcDU17uFcfR7G6myF4EKmxI3zBh/k1Dff8mM7l3IyP3b2Tk/g3fUO7dVL+/EtP2N+jvD58T3Y7vaP1rM5ajLr572sazXr/CznN2/u9YFdXNnRiNRqwmAzfNT+b2RWkkRmptvKb6/6eRCvXPdff5C6iAuaDgqmPYXbEbVFiRvIJwY/iE+HcN9b2b7OT+jYzcv+GTezcy4xXTTpqE7Re/+EWWLl1KfHw8Bw4c4MEHH6S2tpYnn3yy37Fut5s//vGPPPDAA32219XVkZzcd3Gt5ORk6urqgvu7t13pmIE89thjPPLII/22NzQ04Ha7B/cCh0lRFNra2lBVFf1VqmUNrSXE7H0SneLDOe9uXIZUsNvHdGwT0QW7k1fONHGipqNri8qMOBPvXpLKnOQIdLoAjY0NIR3jZDHY772x4jt+HL/Phz49jcb2dmhvH/C47dXb8fq85EflY3QasTsnxvd9qO/fZCb3bmTk/o2M3L/hG8q9a7/Cz/SpQGLagQ3q+0NViTz8EyxNJSjWBFrn/ytqQ+OYjmsicnoD7LrYwvbzzTjcAUDFold51+wYts1KIMJiQHG2YXeGeqSTQ6h/rnecOoni8+FMSsR3hb/PvIqXPWV78AV8LIpYhH2C/B0X6ns32cn9Gxm5f8Mn925kxiumDWnC9oEHHuCHP/zhVY85e/Yss2fP7lNFsHDhQsxmM5/5zGd47LHHgiv8dvv73/9Oe3s799xzz5iM+3IPPvhgn/E5HA4yMzNJSkoiOjp6TJ9bURR0Oh1JSUlX/kbxdqDb/Z+gVyFnPVHX/ytRuunzn1JVVd4ua+H5Y9WcrdMqRcxmE2vyE3j34lSicV39/okBDep7bwy1NDbiM5mInD+fRJttwGNUVeXomaOYjCbeNeNd2K5wXCiE+v5NZnLvRkbu38jI/Ru+ody7ydZjVWLakRvU98fpv6OrOwQmK+rN3ycp+eotkaaaFqeXF4/X8M9TdTh9AUBHalwEdy5OZWGinszUZPm5NAyh/LmueDy47Hb0JhPJK1ZgTEgY8Li3at7Cp/OREpXCuhnr0E+Qv+Xkd+LIyP0bGbl/wyf3bmTGK6YNacL2K1/5Ch/72MeuekxeXt6A21euXInf76esrIxZs2b12ferX/2KW2+9tV9VQUpKCvX19X221dfXB3uIdX+ur68nNTW1zzGLFy++4hgtFku/ABtAr9ePyze/Tqe78nOpKuz7D3DUQFQKbHoI3TRZQTegqOy72MDfjlZR0dXPy2TQs3VOMncuSSc9NgxFUbDb3eP2bzXVXPV7r4uqKKh+P/j9qH4/aiDQ57Hq80EgoD3uPi4QQPX5IdDzWA10XyOAGvDjevsIOsA6c+YVn/9883nqnHVYjBZWp6+ecP/Gg7l/YmBy70ZG7t/IyP0bvsHeu8l2byWmHR1X/f6wn4OD/6U9XnUvutSFYz6eiaK2zcX/Hatm59n64JoL2fER3LUsg+tnJKLXgd1ul59LI3Ctn02qqvbEqL3jVX8A/L7gdtXv1+La7se9jwt0xb+9HvsbGkFRMcbHY0668sJ5e6v2gk5bbMw4wf6Wk9+JIyP3b2Tk/g2f3LuRGY+YNqQ/7ZOSkki6yi+mqzl+/Dh6vb5fxVxpaSm7d+/mxRdf7HfO6tWr2blzJ1/+8peD23bs2MHq1asByM3NJSUlhZ07dwaDWYfDwaFDh/jsZz87rHGG3Mm/QemboDfC1ofBOrbVEROB2xfgjbP1vFBUTb1D68MWZjLwrgUp3LE4nfgIc4hHGDqqqoLPh+LxoHo8KG4PqseN4najeryoXk/P4+7tbo+23eNBdXtQPNp+xe3C5WjHZzRAQEH1+8DflXgN+LXHfr/2psEYss6efcV9uyt3A7A6dTVhxrAxHYcQQojpS2LaMeZ2wBvfAcUPudfDgveFekTjoqShg78dreKtS40oXeHUrJQo3rcsgxXTfM0FVVG6Ylk36mVxrerxoAwUy7q144KP3W4UjxvF7cHd2YHPaOqVYPUFY1k1EIBAYExfj3XWzCvua3A2cKrxFKAlbIUQQkwPE+vtuSsoLCzk0KFDbNq0iaioKAoLC7nvvvu4++67iYuL63Psb37zG1JTU3nXu97V7zpf+tKX2LBhA0888QS33HILzz33HEeOHOG///u/AS1D/uUvf5nvfe97zJgxg9zcXP793/+dtLQ07rzzzvF4qaOr7hQc+qX2ePXnwDYntOMZY+1uH/88WceLJ2poc/kAiAkzcfuiNN61IIUoqynEIxwZNRAg0NZGoKWFQEsL/pYWFIcDxeXum3T19CRV1a4gVHW7UbweVI931BbmUAHF58NnMqEbyol6vbYCrtGAzmhCZzCgMxrBaERnNGpfm4xgMPYcZ+jaZzRoxxmM6ExGzDk5mDMzB3wal99FYU0hIMGtEEKIiUFi2mFQFNjzGLTXQXQabPgG6IYUeUwqqqpyusbB345WcbS8Jbh9WXYcdy3LYF5aNLpJ/PpVVUV1ubpi2VYtrm1tQens7FtM4PEMHMt2J119vtEbE8OMafvFst0xq0GLY7viWkzGgWNZowEMBvRWK9ED/D/vtrdqLyoq8xPmYwufOO29hBBCjK1JkbC1WCw899xzPPzww3g8HnJzc7nvvvv6rY6rKArPPPMMH/vYxzAYDP2us2bNGp599lm+9a1v8dBDDzFjxgxeeOEF5s+fHzzm61//Op2dnfzrv/4rra2trFu3jtdee23S9VLD1QpvPAxKAPI3wbx3h3pEY6apw8OLJ2r458k6XD7t3e/kaAvvXpLB1rk2LMb+3wsTier1agFra0ufZKz2uDW4LeBwjG61qtGA3mJFZ7Wgt1jQmS1dj63orFZ0FrP22GJBb+2132pFZ7GC2URrRwfxNht6k6knKDWa0Bm7AleDAZ2pK5A1dAWo4zTl4lDtIdwBNynhKcyOv3IVrhBCCDFeJKYdhneeg/IDYDDDtkfBEhXqEY0JRVF5u6yZvx2t4lydtkCJXgfrZiTy3qUZ5CVFhniEV6eqKkpHR99YtrklmJD194prVY9n9J5Yp9NiVYsFXdeH3mLpG8teHut2xbI6ixm91QomEy3tHcTbkjCYTFqy1dQV13YlVrW4tvd2w7gkzhVVYW/lXkAKEIQQYrqZFAnbpUuXcvDgwWsep9frqaysvOox73vf+3jf+648jUqn0/Hoo4/y6KOPDnmcE4aiwK7vQWcDxGTA+q9PyUoElzfAb94q5Y2z9fi7+3klhHf180rCoA/ta1aC1QOXJV4vC1qVjo7BX1SvxxATgyEuDkNcLIaYGPRh4QMHouauRKvVis5sDgavwYDWOLL//oqi0GG3Y7XZJmTfmz2VewAtuJ3MlShCCCGmDolph6jmOBz+H+3xmi9A4tRcZOxoeTO/2V9GRXP3mgs6ts5N5t1L0kmNCW1LJ1VR+szwGjC2bWkh0NqqtcIaJF2YFWNcHIbYOAxxcegjI7W4tTuRatEeB2PZy5OyXdt0ZvOI4zxFUWifoDHtmaYz2F12woxhXJd6XaiHI4QQYhxNioStGKKi30PV22C0aJUI5vBQj2jUNXZ4ePSlM5Q2dgIwNzWau5ZnsDw7bkyTc6rfT8DhINDWhtLWRqCt7YoJWdXlHvR1dUZjVxI2LpiMNfb+OrYnQTteFaqTWW1HLWebz6JHz/qM9aEejhBCCCGGytkMOx8BVYEZN8Cc20I9ojHx0oka/ufNElQVwswGblmQyu2L0ogbwzUXVFVFdTq1RKzDQaC1jUBrK4GW5v5xrcMxpHZa+sjIvrFs7MDxrT5M1hYYjO4ChLVpa7EY+i8IKIQQYuqShO1UU3UUjj6jPV53PyTkh3Q4Y6GkoYNHXz5DU4eX2HATX71hFosyY4d1re4+Wr7aWtT2di1gdWhBq9KVmA20aonZQFvb0KphAZ3V2jdgjY/vn4yNi0MfESFVoKNob5U2dWxh0kISwhJCPBohhBBCDImiwM5HtaRtXA5cf/+Umy2mKCq/eauUfxyvAeCGucl8Yl0uEZbh/Xmm+gNawYDDESwqCDgcWvK1O6Zta+0qOnAMrQesXo8hOnrgwoLYXttiY9GZp+/ivqPN6XNysFaryN+UuSnEoxFCCDHeJGE7lXQ0wK5HtT6ns2+BWTeFekSj7mh5Cz/85zlcvgCZ8WF857Z5JEf37cWmBgJd1QJdSdfW1p7qge7Eq6MNf2srgTYHPqcT11AWGdDrMURFYYiNRR8TLdUDE4yiKuyp2gPApiwJboUQQohJ58ivoaYITGGw7RHt8xTi9gV4Yvt5DpY0A/CxNTm8Z2l6nzfvg4tz9Um8tvWZ5aUVGjgItLbgaWkdWjyL1pbAEKPN4OrdcuvywgJDdLTWt1WMqwM1B/ApPjIiM8iPnXpFOEIIIa5OErZTheLXpo25WiGhANZ+KdQjGnWvnarll3uKUVRYlBLBl7MC6F/4C/aGxp6kbFsbSnv7oK/ZvYSX3mrtCVZjYjDExqCPjsYYG4s+umebISYGfWSktCWYwN5peIcWdwuRpkiW2ZaFejhCCCGEGIrKQ1D0v9rj9V/VKmynkFanl0dfOsNFewcmg477F8ey0H6Sxv/6R08ytqvIYLBVsN3xrE6vwxAVrcWxwbg2tieOjY7WYtmufXqLTLGfyHZX7gZkPQYhhJiuJGE7Vbz9a6g7CaZw2Pqw1r92ilAUlT8cLGfHnndYUFfMWk81s9+qpv1qQWywCrYrKI2OwRAbqwWqsT2JWV1UFE0eL8mZGRNukQExPLsqdwFwffr1mAymEI9GCCGEEIOldzag2/d97Yu5d0DB1tAOaJRVNjv53t+PYyq+wLbGUrYqdsJ2NtB0lXN0vYsKoqMxxMWi70q8didjddFRNHu9JOfmYhjhorJiYqhsr+RS6yUMOoOsxyCEENOU/EafAkw1b6N75znti40PQGxmaAc0ShSPh/YTJ3njrzsIP/UO93S0EB9hJr5rEQZDQjxhixdjzs7uClijg0lZfVTUoKpgFUVBZ7eP9UsR48ThdXC07iigVSMIIYQQYpII+Ig6+AR42iFpFqz+fKhHNCpUVcVfW8u5nW9x9JW93FlXRhgKqbFWzAY9GAxYZ83COn8+xsQELY4NJmOj0Vut13wORVHQ2+0yA2wK6V5sbKltKTGWmJCORQghRGhIwnaya68l8sjPtMcL7oK8DaEdzwioqoq/pgbnsSJcx4/TcfIUtY3tRPsCoANbXDi2JQsJW7KY8CVLMGVlyfQg0cdb1W/hV/3kxuSSE5MT6uEIIYQQYrAO/z+MLRcgPA62PgLGybt4leJ24z59GldREc5jRTSXV2Fv95CugtVkID03negVywhbvISwhQvQh4eHeshiAvErfvZV7QOkAEEIIaYzSdhOZn4vujceRu/rhLRFsPLeUI9oyBS3G/fJkziLjuMqKsLfVe3qDSjUtrpptkRSkzuDDe/ewrwtq2URL3FFqqqyu6Kn15cQQgghJomSPehOPQ+AuvEBdNGpIR7Q0Kiqiq+6GlfRcVxFx3CfORvsP9vc6aXB5acmKQfr4sXccfe7CM+RogNxZUX2IhxeBzHmGJbYloR6OEIIIUJEEraTmasFfC4UUyTqlm+jmwT9OlVVxVdVpVUcFBXhOXMW1e8P7tcZjTizC3jBn8D5+BxMGel85/b5ZMZL5YG4ulJHKeXt5Rj1RtalrQv1cIQQQggxWI4a0OlwzbyTyOy1oR7NoCguF+5Tp7SZYUVF+Bsa+uzXJyZSFJ3FLmMKVUnZ3LEqnw+uykavl0StuLruxcY2ZG7AoDeEeDRCCCFCRRK2k1lUMuq7n8ZRcoKEyORQj+aKFJcL1zsncRV1BbSNjX32G202wpYuIXzxYo5YU3jqzQp8AZUZtki+fdtcYsMn75Q4MX66e31dl3IdkebIkI5FCCGEEEOw+MOotnk4SWCi/gYPFh0cO4azqAj32bPgDwT364xGrPPmErZkKcrc+fzohIOT1Q70OvjsxgJump8SwtGLyaLV3UpRfREAGzImb6s7IYQQIycJ28nOFE4gLj/Uo+hDVVV8FRU4i4pwFR3Hfe6ygNZkwjpvHmGLFxO+dAnGtDQAnj9Wze/2lAGwKi+er9wwC6tJ3lUW1+YL+Hir+i1A2iEIIYQQk1LKAphgC8EqTqdWdHBcmxkWaGzqs9+YnEz40iWELVmCdd489FYr9Q43j7x0mspmF2EmA99412yWZceF6BWIyWZf9T4UFGbGzSQjKiPUwxFCCBFCkrAVo0Lp7MR18iTOY8dwHT9OoKm5z35jagrhS3oFtBZLcF9AUXl6bzGvnaoD4I7FaXxiba5MGROD9nbd23T4Ooi3xrMgcUGohyOEEEKISUhVVbxlZbiOn8B17Bju8+chcFnRwfz5wQVwjampfXrRXqxv59GXz9Dq9JEQaeY7t80jNzEiFC9FTEKqqgZnjG3M2BjKoQghhJgAJGErhk1VVdrfeIPOfW/2D2jNZqzz5xO+ZDFhS5ZgSh148Qin188P/3mOYxWt6HXwqevzuG1R2ni9BDFFdPf62pixEb1OH+LRCCGEEGIy8dXbaX3+b7iKjhNo7lt0YEpLJWxxV9HB/HnozQO36jpY0sSPXj+P16+QmxjBt2+bS2KkZcBjhRjIhZYLVHdUY9abWZ22OtTDEUIIEWKSsBXD5njxRZp//4fg16a0NMKWLiVs8SKtivYKAW23xg4Pj7x0hrLGTixGPV+7cRYr8xLGethiiml0NXKy8SSgLc4ghBBCCDFYgdZW6h5+GH9XOwad2Yx1wfzgzDBTyrV7z/7jeDW/3l+KqsKy7Di+cdNswszS1ksMzd6qvQCsSltFuEkWXBZCiOlOErZiWDoPHqL5D/8LQMyddxJ1ww2Ykm2DPr+koYNHXjpDc6eX2HAT37ltLgW2qLEarpjC9lXtQ0VlbsJcUiJkQQ8hhBBCDI7i9VL/w//Ab7djTEkh8dOfwjp3LrprFB0Ez1dUfrW/hJdO1AJw0/wU7t2Qj0HaeokhcvvdwfUYNmVuCvFohBBCTASSsBVD5rl0iYaf/hRUleh33UTc3R/p07/rWo6WN/PDf57H5QuQFR/Od26biy3aOoYjFlOVoirBdggS3AohhBBisFRFofE/f47nwgX0kZGkPPQgpvT0QZ/v9gX40evnOVyqtVD42Joc3rM0fUgxsRDdDtcdxh1wYwu3MSd+TqiHI4QQYgKQhK0YEn9DA/WPPY7q9RK2ZAnxH//4kALT107V8ss9xSgqLMyI4cGb5xBpkW9DMTxnm89id9qxGqxcl3JdqIcjhBBCiEmi5bnn6DxwAIwGbF/72pCStS2dXh59+QyX7B2YDDru3zaLdTMSx3C0YqrbVbEL0AoQJOkvhBACJGErhkBxOql/7DECra2Ys7Ow3X8fOsPg+nMpisrvCsv4v2PVAGyZY+NzmwowGWSBKDF83Svprk1fi9UoVdpCCCGEuLb2Xbtpe/7/AEi8917C5s8b9LkVTU4eeek09nYP0WFGvnXLXOakRo/VUMU0UNdZx9nms+jQsT5jfaiHI4QQYoKQhK0YFDUQwP7kT/CWV2CIjSX5wQfRhw+uGb7HH+AnOy7y1qVGAO5elcX7l2fKu8diRJw+JwdrDgKwMXNjaAcjhBBCiEnBdeo0jf/vaQBi3vseojYNvqXSicpWfvDqWZzeAGmxVh6+fR6pMWFjNVQxTeyt1BYbW5i0kMQwqdQWQgihkYStuCZVVWn6zW9wFRWhM5tJfvABjElJgzq3zenje6+c4VxdOwa9ji9tmcGm2YNfnEyIKymsKcSreEmPTGdG7IxQD0cIIYQQE5yvuhr7j34E/gARa9cS98EPDvrcnWfr+dmuSyiKytzUaL556xyiraYxHK2YDhRVYU/VHgA2ZmwM6ViEEEJMLJKwFdfkePkV2l97HXQ6kr70JSwFBYM6r7rVxcMvnqauzU2kxcg3b5nD/PSYMR6tmGp8io9GZyN1zjrqO+upd9ZT11nHhZYLgFZdK9XaQgghhLiagMNB3Q8eQ+nowDJzJomf/xw6/bVbc6mqyrOHK3jucCUA62cm8qUtMzEbpa2XGDxVVWn3tVPXqcWz3XFtTUcNze5mIk2RrEhZEephCiGEmEAkYSuuyvn22zT/7ncAxP/L3USsWjmo807XtPG9l8/S4fGTHG3hO7fNIzN+cC0UxPTj9ruDidh6Z30wMVvfWU+jqxEFZcDzwoxhbMjYMM6jFUIIIcRkonq91P/wh/jr6jDabCR/4+vozeZrnuf1K/x810V2n28A4P3LM/jIymz0enmjWPSnqAot7pZgMrY7ru3+7PK7rnju5qzNmAxSsS2EEKKHJGzFFXlKSrE/9VNQVaK2bSP69tsHdd7eCw089cYF/AGVmclR/Putc4gNv3ZQLKYuVVXp8HX0qSjoHcC2elqver7FYCE5PJmUiBSSw5NJjkgmJTyF7Jhsos2y0IcQQgghBqaqKg3/9V94zp1HHx5O8jcfwhAbe83z2t0+fvDqWU5VO9Dr4HObCrhhXsrYD1hMaH7FT6OrkbrOun4xrd1px6f4rnp+vDW+TyybHJFMakQqOdE54/MChBBCTBqSsBUD8jc1Uf/YY6huN2GLFpLwqU9ec9q5qqr89WgVfygsB2BNfgL3bZuJ1WQYjyGLEOuuKuhdIRusmHXW0+nrvOr5kabI/knZrsexllhpeyCEEEKIIWv9y1/pfHM/GAzYvvZVzBkZ1zyn3uHm4RdPU9XiIsxs4MF3zWZJVtw4jFZMBJ6Ap18s293K4GozvwD06EkKTwrGsL3j2uTwZMwGKWIRQggxOJKwFf0oLhf1P3iMQHMzpsxMbF/5Cjrj1b9V/AGF/9pTzI4z9QDcuSSdj6/JkSljU5Bf8VPVXkVJawlna8/SWdFJvbMeu9OOV/Fe9dw4a5xWTTBAABtpjhynVyCEEEKI6aBj715a//IXABL/9dOELVx4zXPO17XzvVfO0Or0kRhp5ju3zSMnMWKshypCoM3TRmlbKSWtJRTbi+ko7qDeWU+Lp+Wq55n1Zmzhtr5J2a54NjEsEaNe/sQWQggxcvLbRPShKgoNTz2Ft6wMQ0wMyQ8+iD7i6kGq0+vnsVfPcbyyFb0OPr0+j1sXpo3TiMVY8ga8VDgqKHWUUtqmfVS0V+BX/KCCz+/DZDRBV15ej57E8MQ+CdmUiBRSwlOwRdiwGCyhfUFCCCGEmBbcZ87Q+F+/BCDmjjuI2rr1muccKG7kx6+fxxdQyUuK4Nu3ziUhUmKXyU5VVZrcTcFYtrStlFJHKS3ursTsADFthCmib4FBr9lfsZZY9DpZdE4IIcTYkoSt6KP5md/hPHIUncmE7YFvYEq2XfX4hnYPj7x0mvImJxajnq/fNJvrcuPHabRiNDl9TsocZZS1lQUTtNXt1QNO+wozhpETnUOCPoECWwGpkamkRKRIVYEQQgghQs5XW0v9f/wI1e8nfNVK4u7+yFWPV1WVF0/U8Ov9pagqLM+J4+s3zibMLG29JhtFVajvrA8mZUvbSilrK6Pd197vWB06UiNSyY7OJlqNZkbKDFIjtJhWZn4JIYQINcmsiCDHP/+J45VXAEj64hewzpx51eOdXj9f/9sJGju8xEWY+fatcymwSXAzGTi8DsrayihzlAUrDWo7awc8NtocTW5MbvAjJzoHW7gNVLDb7dhsNvR6qTIQQgghROgFOjqo/8EPUNrbsRTkk/TFL6K7Rpzy4okafvVmKQA3L0jlX9fnYZC2XhNeQAlQ01HTZyZYaVsp7oC737F69GRGZfaJabOiswgzhqEoisS0QgghJhxJ2AoAnMeO0fSb3wIQ9+EPE7FmzTXPefVkHY0dXpKjLfzgPQuwRVnHephiiFRVpcXTEgxgu6tnG12NAx6fYE0gJyZHC2SjtWA23ho/4IJfinrlBReEEEIIIcab6vNh/+F/4KupxZiYiO2BB9Bbrt7SwOUN8NzhSgDuXpXF+5dnykKnE5Av4KOyvbJP5Wy5oxyf4ut3rElvIjs6m5zonJ7kbFQWJoMpBCMXQgghhkcStgJPaSn2J58ERSFy8yZi3vPua5/jD/CP49UAfGRltiRrJwBVVWlwNfTtz9VWSpu3bcDjU8JTeqpmY3LIic4hxhIzzqMWQgghhBg5VVVp/OXTuM+cQfg61boAAEJLSURBVBdmJfmbD2GMi7vmedvP1NHh8ZMaY+V9yyRZOxG4/W7KHeV9Kmer2qsIqIF+x1oN1j6zwHJjckmLTJMWXUIIISY9+U02zflbWqh/7DFUlxvr/Pkk/uu/DipQ3XGmnlanj+RoC9fPSByHkYrLNbubOdN0pqd61lFGp6+z33F69KRFpvVraxBuCg/BqIUQQgghRl/b//0fHXv3gl6P7StfwZyVdc1zvH6F/zumFSDctSwDvbRBGHcBJcDF1otcbLkYjGdrOmpQUfsdG2mK7Ilnu2aCJUckywJgQgghpiRJ2E5jittN/WOPEWhqxpSWhu1rX0VnuvZUIX+gJ7h9z9IMjAYJksZDQAlwoeUCRfYijjccp9xR3u8Yo95IVlRW3ylg0VlYDLLCsRBCCCGmpo79b9Hy7J8ASPjkJwlfsmRQ5+06Z6e500tCpJlNs6++0K4YPc3uZk7YT1DUUMTJhpM4/c5+x8RZ44JJ2e6PBGuCVEALIYSYNiRhO02pikLDT3+Gt7gEfXQUyd98CEPk4BYM23uhgYZ2D7HhJrbOSR7jkU5vVwtodejIi8mjIK4gGNCmR6Vj0kt/LiGEEEJMD+7z52n8+c8BiL71VqJvunFQ5wUUleePVQHw7iXpmKQAYcz4FT8XWi5w3H58wKKDKFMUcxPm9pkJFmuNDc1ghRBCiAlCErbTVMsf/oDz8GF0RiPJ3/gGppSUQZ2nKCp/PaIFt3cuTsdslOB2NA0moF2YtJDFtsUsSlokPWeFEEIIMW356uupf/xxVJ+P8OXLib/no4M+d/+lRura3ESHGblx3uDiYDF4ze5mLZ61H+dkY/+ig/zYfBbbFrM4aTH5sfnS1kAIIYS4jCRspyHH9u20vfgSAImf/zzW2bMHfe7BkiaqW11EWAzcvCB1rIY4rfQOaN9pfAeX3xXcJwGtEEIIIUR/gY5O6r//AxRHO+a8PJLu+zI6/eBiJEVR+cuRSgDuWJSO1WQYy6FOC4MtOlhiW8LCpIVSdCCEEEJcgyRspxnX8eM0/c+vAIj94AeIvH7doM9V1Z7g9taFaYSZJbgdjmsGtOYoFiUtYnHSYglohRBCCCEuo/r92J/4Mb7qagwJ8SQ/+AB6q3XQ579d1kxFk5Mwk4GbF0oBwnA1uZo40XBCig6EEEKIMSAJ22nEW1GB/cdPgKIQuWE9sXfdNaTziypbKW7oxGLUc9uitDEa5dQkAa0QQgghxMipqkrjf/837ndOorNaSX7wQYzx8UM6/69HtfZeNy9IIdIifw4NVnfRQZG9iBP2E5S3S9GBEEIIMVYkQpkmAq2t1P/gMRSXC+vcuSTee++QV1n9a1d17U3zU4gJk4WtrkYCWiGEEEKI0df2wj/o2LkL9Hps99+HJTd3SOefqnZwvq4dk0HHnUvSx2iUU8dgiw6WJC0hLzZPig6EEEKIUSIJ22lA8Xqpf+xx/A0NmNJSsX39a+jM5iFd40yNg1PVDgx6CW6vRAJaIYQQQoix01lYSMv//i8ACR//GOHLlg35Gt3tvW6Yl0Js+NDi4elAig6EEEKIiUEStlOcqig0/uxneC5dQh8ZSfKDD2KIihrydf56VAtut86xkRhpGe1hTkqqqnKu+RzH7MckoBVCCCGEGEOeixdp+OnPAIi++V1E33zzkK9xsb6d45Wt6PU63iMFCEFtnjaO1h+VogMhhBBiApGE7RTX8uyf6Cw8CEYDtq9/DVPa0HvPljR0cKSsBb0O3rM0YwxGObn4FT8Hag7wYvGLVLZXBrdLQCuEEEIIMfp8djv1jz2O6vMRtmwp8R//+LCu0927duPMJGzRg1+kbKqq7ajl5ZKX2Vu1F5/iC27vLjpYYlvCwqSFRJujQzhKIYQQYnqShO0U1r5rF21//zsAiZ/9LGHz5g3rOn/rCm7XzUgkLTZs1MY32bj8LnZV7OKVkldocjcBYDVYWZGygsW2xRLQCiGEEEKMMqWzk/ofPEagrQ1zTg62++5Dpx/6G+IVTU4Ki5vQ6eCuZdO7AKG4tZh/XPoHh+sOo6ICkBuTy7LkZVJ0IIQQQkwQkrCdolwnT9L49P8DIPZ9dxG1ceOwrlPd6mL/pUYA7lqWOVrDm1TaPG28Vvoa28u30+HrACDGHMPNeTezLXsbEaaIEI9QCCGEEGLqUQMB7E88ia+yEkNcHMkPPYg+bHjFA3/rau+1Oi+BzPjw0RzmpKCqKicaTvCP4n9wpulMcPtS21LuKLiDWXGzhrwgsRBCCCHGjiRspyBvVTX2H/0YAgEi1q0j9gMfGPa1nj9aharCipx4chOnV2KyrrOOl0teZk/lnuA0sdSIVG7Lu431GesxGUyhHaAQQgghxBSlqipNv/o1rhMn0FksJD/4AMaEhGFdq97hZu+FBgDet3x6VdcGlAAHag7wUvFLwfUWDDoD69LXcVvebWRGT8+CDCGEEGKik4TtFBNoa6P++99H6ezEMmsWSZ/7t2G/W97Q7mHXOTswvYLbktYSXix+kUO1h1BQACiILeD2/NtZkbJCpogJIYQQQowxx8sv0759O+h0JH35S1jy84d9reePVaGosCQrlgLb0BffnYzcfje7K3fzSskrNLi0ZLXVYGVL1hZuzruZxLDEEI9QCCGEEFcjCdspRPV6qf/hf+C32zEmJ5P8ja+jM5uHfb0XiqoJKCrz02OYkzq1e7Oqqso7De/wYvGLnGw8Gdy+OGkxdxTcwZz4OTJNTAghhBBiHHQeOkzz734PQPw9HyXiuuuGfa2WTi9vnKkH4P3Lp341qcPr4LXS13i97PVgK69oczQ352qtvCLNkSEeoRBCCCEGQxK2U4SqqjT+/Bd4zp9HHxFB8kMPYYiJGfb12pw+Xj9dB8D7p3B1bUAJcKTxCG+ef5Oy9jIA9OhZm76W2/JvIzs6O7QDFEIIIYSYRjzFxTT89KegqkTdcAPRt946ouu9cLwaX0BldkoU89KmbgFCo7uRV06/wp7KPXgVLwDJ4cncln8bGzI2YDYMv4hDCCGEEONPErZTRNuf/0LnW2+BwYDta1/FnJE+ouu9+E4NHr/CDFskizNjR2eQE4gn4GF35W5eLn6ZGkcNJqMJi9GiTRPLvZmk8KRQD1EIIYQQYlpRmpuxP/kkqsdD2OLFJHzqkyOa4dTu9vHPk10FCCsyp+RsqbK2Mv5x6R+8WfEmBqMBdJAXk8ft+bezMnWltPISQgghJilJ2E4BvsJCnM8/jw5IvPczhC1YMKLrOb1+Xj5RA8BdyzOmVHDb7m3n9bLXea3sNdq97aBCpDGS22bexk25NxFlnh59zYQQQgghJhLF5cL581+gb2nFnJWJ7Sv3ozMYRnTNV96pxeULkJMYwfLsuFEaaeipqsrpptP849I/eKfxHVBBQWFx0mLuLLiTeQnzplT8LoQQQkxHk+Yt15ycHHQ6XZ+Pxx9/vM8xr7/+OqtWrSIqKoqkpCTe+973UlZW1ueYPXv2sHTpUiwWCwUFBTzzzDP9nusXv/gFOTk5WK1WVq5cyeHDh8fwlY2M+8wZXL//AwAx7343UZs3j/iar56sw+kNkBkfxqrc4a3GO9E0OBt45tQzfG7n5/jrhb/S7m3HFmbjY/M+xveWfo/3znivJGuFEEIIMeYkpu1PDQRo+MlTKFVVGGJiSH7wQfTh4SO6pssb4B/HtQKE9y2bGgUIiqpQWFPIQ/sf4rsHv8s7je+gR8+atDU8tPAhHrruIeYnzp8Sr1UIIYSY7iZNwhbg0Ucfpba2NvjxhS98IbivtLSUO+64g82bN3P8+HFef/11Ghsbec973tPnmFtuuYVNmzZx/PhxvvzlL/OpT32K119/PXjMn//8Z+6//36+853vcOzYMRYtWsSNN96I3W4f19c6GL56Ow0/+hEEAkSsXkXchz804mt6/AH+cbwagPcty0Svn9wBX7mjnP8s+k++uOuL/LPsn3gCHrKjs/nSki/x1KanuDHnRunpJYQQQohxJTFtX82//wOuoiIwm7B94xuYbLYRX3P7mTo6PH5SY6ysK0gchVGGjjfgZUf5Dr68+8s8dewpStpKMOvN3JhzIz/d/FO+sOQLZERM3TUnhBBCiOloUrVEiIqKIiUlZcB9R48eJRAI8L3vfQ+9XstDf/WrX+WOO+7A5/NhMpl4+umnyc3N5YknngBgzpw57N+/n5/85CfceOONADz55JN8+tOf5uMf/zgATz/9NK+88gq/+c1veOCBB8bhVQ6eMT6OsBUr8F+8RMLnP49OP/L8+44z9bQ6fSRHW7h+xuQMblVV5UzzGV689CLHG44Hty9IXMDt+bezIHFBsPJAUZQQjVIIIYQQ05XEtH1FrFlNx5tvYrrrvVhmFIz4el6/wv8d0woQ7lqWMWkLEDq8Hewo38E/S/9Jm7cNgEhTJDfl3sQN2TcQY9EWGJZ4VgghhJh6JlWF7eOPP05CQgJLlizhRz/6EX6/P7hv2bJl6PV6fvvb3xIIBGhra+MPf/gDW7duxWQyAVBYWMjWrVv7XPPGG2+ksLAQAK/Xy9GjR/sco9fr2bp1a/CYiURnMpHw2c8Sft+X0ZtHXiXqD/QEt+9ekoHRMKm+PVBUhUO1h/jWW9/i0cJHOd5wHD16Vqeu5rF1j/GtVd9iYdJCmSYmhBBCiJCSmLYv66xZpP/nzzAtXToq19t1zk5zp5eESDObZo+8Wne8Nboa+d3p3/G5nZ/jufPP0eZtIyksiY/P+zi/2PIL3jfzfcFkrRBCCCGmpklTYfvFL36RpUuXEh8fz4EDB3jwwQepra3lySefBCA3N5ft27fz/ve/n8985jMEAgFWr17Nq6++GrxGXV0dycnJfa6bnJyMw+HA5XLR0tJCIBAY8Jhz585dcWwejwePxxP82uFwANq73WP9jreqqmCxjMrz7D5vx97uJjbMxObZiZPm3XpfwMe+6n28XPIydZ3aSsAmg4kNGRu4NfdWkiO0f8+BXo+iKKiqOmle60Qi925k5P4Nn9y7kZH7NzJy/4ZvKPduKt9fiWmvwGJBdThG/DwBReX5o5WoqNyxKA2DbvJ8P1W1V/FiyYu8Vf0WiqqNOSs6i9vybmNV6iqMeu1Pt8tfj/xcGhm5f8Mn925k5P6NjNy/4ZN7NzLjFdOGNGH7wAMP8MMf/vCqx5w9e5bZs2dz//33B7ctXLgQs9nMZz7zGR577DEsFgt1dXV8+tOf5p577uFDH/oQ7e3tfPvb3+auu+5ix44dY1pV+dhjj/HII4/0297Q0IDb7R6z5wXtH7+trQ1VVYPT5oZ1HVXl2QMl+H1+Ns+Lp625aRRHOTYCaoBdNbvYWbuT/9/enUdHXd/7H3/NZN8DJGQhgSSALLJvabCVxWjAgHBbFf1ZK2qteKEtqFfUnhbaewXBumvVe6xi9VbF1o1FEMJiRTZZFARRkrCThATIvs58f39QopEkMDOZfCczz8c5OcfMfOb7ec+bz3fOO28/8/2W1Z/7gyLMP0xXxl2pMfFjFBkYKVVKRZUtX6utrfLni8ida8if88ida8ifa8if8xzJXXl5eTtF1TaoaV3XVufWlkOlOlpSofAgPw3tavXIa/b+0LHKY1p2dJn2nNnT+NhlkZfp6sSr1T+6vywWi04Xn27x9XwuuYb8OY/cuYb8uYb8OY/cuaa9alpTG7b33Xefpk+f3uqYtLS0Zh9PT09XQ0ODDh06pD59+uj5559XVFSUFi9e3DjmjTfeUHJysrZu3aof/ehHio+PV2FhYZPjFBYWKjIyUiEhIfLz85Ofn1+zY1q6zpgkPfTQQ02K77KyMiUnJys2NlaRkZGtvj9X2e12WSwWxcbGunSifZZbolPVdkWHBevG0b0VGujZm69rbbV6Ztcz2lm4U5IUHxGva1Ov1bjkcQrxD7nk47RV/nwRuXMN+XMeuXMN+XMN+XOeI7kLDg5up6jaBjWt69ri3DIMQ2tzTsg/wF8/G9ld3RNbfq+e4otTX+iZb55RbUOtAgMCNTJupCb3nKxe0Zd+LV8+l1xD/pxH7lxD/lxD/pxH7lzTXjWtqV252NhYxcbGOvXa3bt3y2q1quu/7yJbVVV1QaL8/PwkfbcF+YdfJ5OkNWvWKCMjQ5IUGBio4cOHKycnR1OnTm18bU5OjmbNmtViLEFBQQoKCrrgcavV2i6L32KxuDSXYRj6587jssiiSYMTFR7s+vVw3amirkKLty/WgTMHFOAXoNsvv11jksc0fk3MUa7mz5eRO9eQP+eRO9eQP9eQP+ddau46Wm6paduGq+fWtvzTOny6SqEB/po0KNHj19G/jv1LL3zxgmyGTQNjB+rOAXcqITzBqWPxueQa8uc8cuca8uca8uc8cuea9qhpPXsb5b9t3rxZW7du1bhx4xQREaHNmzdrzpw5+vnPf65OnTpJkrKzs/Xkk0/qT3/6U+PXxx5++GH16NFDQ4cOlSTNmDFDzz33nB544AHdcccdWrdunZYuXaoVK1Y0znXvvffqtttu04gRIzRq1Cg99dRTqqysbLzDrjfadfSsDhZVKMjfqsmDE80Op1Ul1SVasHWBjlUcU1hAmP5rxH+pX5d+ZocFAABwUdS07mMYhpZ+flSSdO3AeEUEB5gcUeuW5y3X6/telyRdkXiF7hlyjwKsnh0zAABoPx2iYRsUFKS33npL8+fPV21trVJTUzVnzpwmX9kaP368/v73v2vx4sVavHixQkNDlZGRoVWrVikk5NxX5FNTU7VixQrNmTNHTz/9tJKSkvTyyy8rKyur8TjTpk3TqVOn9Ic//EEFBQUaMmSIVq1adcFNG7zJO/8ubicMiFdUiOcWisfKj2nB1gUqqSlRp+BO+t2o3yk5MtnssAAAAC4JNa377D1epgMF5Qrws2jq0G5mh9Miu2HXm1+/qQ9zP5QkXZt6rW7tf6usFnY4AQCA71gMwzDMDsLblJWVKSoqSqWlpe1yva+ioiJ17drVqa3W+06Uae4/v5Sf1aKXbxuhmPALvwbnCQ6cPqDF2xeror5CiWGJejj9YcWGOvfVw+9zNX++jNy5hvw5j9y5hvy5hvw5z5HctWcthZZ1pJr29+/v1e6jZ5U9KEEzxvR0Q4Sua7A36MUvXtS/jv9LknRLv1s0OW2yyzeS43PJNeTPeeTONeTPNeTPeeTONe1V03aIHbZwn3d2nNtde1Xfrh7brN1ZuFNP7nhSdfY69Yrupbmj5ioykD/eAAAAIH1bWK7dR8/KapH+w0N319Y01OjJHU9q96ndssqquwffrbHJY80OCwAAeCgatj4s71SFPj90RlaL9NPhSWaH06wNRzfopS9ekl12DYkdojnD5yjYv2PdORoAAADu886OY5KkMX26Ki7S8+rEsroyLdq2SAfPHlSgNVBzhs/RsLhhZocFAAA8GA1bH/aPfxe3V/SKUbfoEJOjacowDH2Y+6H+/vXfJUlXJl2puwfdLX8rSxYAAADnHCmp0ubcElks0g0euAHhVNUpLdi6QCcqTyg8IFwPjHxAfTr3MTssAADg4eh++ajjZ6u16WCxJOmGEZ514y67Ydfr+17XyvyVkqTrel6n/9f3/7l8fS8AAAB4l3/8+/JeGWldlNw51ORomjpadlSPbHtEZ2rOqEtwFz2c/rCSIjyvqQwAADwPDVsf9e6OY7Ib0siUzkqNCTM7nEb19nq9sPsFbTqxSZJ0a/9bNSltkslRAQAAwNMUltVo4zenJEnXe9ju2v0l+/XY54+psr5SSeFJejj9YXUJ6WJ2WAAAoIOgYeuDiitqlfN1kSTphhGeU9xWN1Tr8c8f157iPfKz+OmewffoJ0k/MTssAAAAeKB3dx6X3ZCGdo9W77gIs8NptL1gu57e+bTq7fXq06mPHhj5gMIDw80OCwAAdCA0bH3Q+7uOy2Y3NKBblPolRJodjiSptLZUi7YtUm5proL9gjVn+BwN6TrE7LAAAADggc5U1mnNvgJJ0o0edHmvnCM5evnLl2WXXcPjhuu3w36rIL8gs8MCAAAdDA1bH1NaVa9Ve88Xt56xu7aoqkiPbHlEBVUFigiM0EOjHlLP6J5mhwUAAAAP9f7u46q3GeobH6HLE83fgGAYht47+J7ePvC2JGlc8jjdNfAu+Vn9TI4MAAB0RDRsfcyHX55QbYNdvbqGa0hytNnh6FDpIS3ctlBna88qNiRWv0v/nRLCE8wOCwAAAB6qvKZeH+05twHhhhHJpt+Y1m7YteSrJVp9aLUk6T96/Yem9ZlmelwAAKDjomHrQ6rqGrT8ixOSpBuGJ5leRH5V8pUe2/6Yqhuq1SOihx5Mf1CdgzubGhMAAAA824ovT6q63qaUmDCNTOlkaiz1tno9t/s5bTm5RRZZNP3y6ZqQOsHUmAAAQMdHw9aHrNxToKo6m5I6hehHaebepXbrya16ZtczarA3qF/nfvqvkf+lsIAwU2MCAACAZ6uus+mD3Z6xAaGqvkqPf/649pbslb/FXzOHztToxNGmxQMAALwHDVsfUdtg0we7j0uSbhiRJKvVvOL240Mf65W9r8iQofT4dP166K8V4BdgWjwAAADoGD7eV6CK2gYlRAXrx71iTIvjbM1ZLdi2QIfLDivYL1j3j7hfA2MHmhYPAADwLjRsfcSafYU6W1WvrhFBurJ3rCkxGIahd755R//89p+SpMzumbpz4J2yWqymxAMAAICOo67Brnd3ntuA8LPh5m1AKKgs0CNbH1FRVZGiAqP0YPqDSotKMyUWAADgnWjY+oAG23fF7U+HJcnfr/0bpHbDrr/u+avWHlkrSbr+sut1fe/rTb+OLgAAADqGdV8X6XRlnbqEB2pcn66mxJBXmqdHtz6q0rpSdQ3tqt+l/07xYfGmxAIAALwXDVsf8Mm3p3SqvFbRoQHK7N/+xW29rV7P7HpG2wq2ySqr7hh4h67ucXW7xwEAAICOyWY39M+dxyRJ/zG0mwL9238Dwp5Te/Tnz/+sGluNUiJT9HD6w4oKimr3OAAAgPejYevl7HZD73x+rridOqSbgvz92nX+yvpKPbb9Me0/vV/+Vn/9ZuhvlJ6Q3q4xAAAAoGPbdLBYBaU1igj2V9bl7b+j9bPjn+n53c+rwWjQgC4DdN+I+xQaENrucQAAAN9Aw9bLbckr0bEz1QoL8tPEge1b3J6uOa2FWxfqSPkRhfiH6IGRD6h/l/7tGgMAAAA6NsMwtPTzo5Kk6wYnKjigfTcgrMpfpSVfLZEhQxkJGZo5ZCY3zAUAAG5Fw9aLGYahd3ac212bPShRoYHt9899ouKEFmxdoFPVpxQdFK2HRj2klKiUdpsfAAAA3mH7oTM6XFKlkAA/ZQ9KaLd5DcPQWwfe0vsH35ckZaVkafrl07lhLgAAcDsatl5s19GzOlhUoSB/q64bnNhu8x48c1CPbntU5fXlSghL0MPpD6trqDk3hgAAAEDH9f3dtRMHxisiuH12ttrsNv3vnv/VhqMbJEk39blJU3tN5Ya5AACgXdCw9WLv/Lu4nTAgXlEh7VPc7i7arSd3PKkaW416RvXU3FFzuRkDAAAAnLL3eJkOFJQrwM+iqUO6tcuctbZaPb3zae0o3CGrrLpr0F0a3318u8wNAAAg0bD1WvtOlGnv8TL5WS2aOrR9ittPjn2iF794UTbDpkExg3TviHsV4h/SLnMDAADA+5zfXXt1/3h1Cgt0+3wVdRVatH2RvjnzjQKsAZo9bLZGxI9w+7wAAADfR8PWS72z41xxe1XfrooJD3L7fMvzluv1fa9Lkn7c7ceaMXiGAqzcjAEAAADO+bawXLuPnpXVIv10mPs3IJRUl2jB1gU6VnFMYQFhmjtyrvp07uP2eQEAAH6Ihq0XyjtVoc8PnTlX3A5PcutcdsOuN79+Ux/mfihJyk7N1s/7/5ybMQAAAMAl52+eO6ZPV8VFBrt1rmPlx7Rg6wKV1JSoc3BnPZz+sJIjkt06JwAAQEto2Hqhf/y7uL2iV4y6RbvvkgSGYeilL19qvBnDLf1u0XU9r3PbfAAAAPANR0qqtDm3RBaLdIObNyDklebpkS2PqKK+Qt3Cu+nh9IcVExLj1jkBAABaQ8PWyxw/W61NB4slSde7ubj9svhLbTi6QVZZdc+Qe3Rl0pVunQ8AAAC+4R87z21A+FFaFyV3DnXrXK/ufVUV9RXqHd1bc0fNVURghFvnAwAAuBi+t+5l3t1xTHZDGpHSSWmx4W6da1nuMknShNQJNGsBAADQJgrLarTxQJEk9++uPXD6gL458438rf66f8T9NGsBAIBHoGHrRYorapXz9bni9sYR7r3m1qHSQ9pTvEdWWXVt6rVunQsAAAC+492dx2U3pCHJ0eod594G6vkNCFd2u1LRwdFunQsAAOBS0bD1Iu/vOi6b3dCAbpHqlxDp1rmW5Z0rbjMSMxQbGuvWuQAAAOAbzlTVac2+Aknu34BwsuKkPi/8XJI0qeckt84FAADgCBq2XqK0ul6r9p4rbm9wc3FbXF2sz45/JoniFgAAAG3ng90nVG8z1Dc+QgO6uXcDwvK85TJkaHjccHUL7+bWuQAAABxBw9ZLLPvihGob7OrVNVxDk6PdOtfKvJWyy64BXQYoLSrNrXMBAADAN1TW2vTR9zYgWCwWt81VWluqjcc2SpImp0122zwAAADOoGHrBarrbVqx59/F7fAktxa3lfWVyjmSI0ma3JPiFgAAAG1j7bdnVF1vU0pMmEamdHLrXKsPrVa9vV69onupb+e+bp0LAADAUTRsvcC6b8+qsq5BSZ1C9KO0Lm6dK+dIjmpsNUqOSNbg2MFunQsAAAC+obrOpo+/Pi3J/RsQam21+vjQx5LObUBw51wAAADOoGHbwdU22LT66xJJ0vXDk2S1uq/grLfXa2X+SknSpLRJFLcAAABoEx/vK1RlnU0JkcG6oleMW+facHSDyuvL1TW0q0bFj3LrXAAAAM6gYdvB5ewvUlmNTbHhQRpzWaxb5/rs+Gc6U3NGnYI76YpuV7h1LgAAAPiGuga73t99QpL002Hd5OfGDQh2w64VeSskSdlp2bJa+HMIAAB4HiqUDqzBZte7u45Lkn46tJv8/dz3z2kYhpblLZMkTUyZqABrgNvmAgAAgO9Yf6BIJZW1ig7x17g+Xd061/aC7SqsKlR4QLjGJo1161wAAADO8jc7ADivtLpecZHBqqiqUWZ/9xa3X5z6QkfLjyrYL1iZPTLdOhcAAAB8R4PNUHigvyb2iVKgv3s3IHyY+6EkKSslS8H+wW6bCwAAwBU0bDuwLuFBemTqAH175ISC/P3cOtfyvOWSpPHdxyssIMytcwEAAMB3ZA9K0NjLYlRSfMqt8xw4c0AHzx5UgDVAWSlZbp0LAADAFVwSwQtEBbu3755Xmqc9xXtklVXZadlunQsAAAC+JyTQz627ayU17q4dkzRGUUFRbp0LAADAFTRscVHLc8/trs1IzFBMiHvv2gsAAAC0tRMVJ7SjcIcssrABAQAAeDwatmjVqapT2nxisyRpcs/JJkcDAAAAOO785b2Gxw1XYniiydEAAAC0joYtWrUyf6XssmtgzEClRqWaHQ4AAADgkNLaUn1y7BNJbEAAAAAdAw1btKiyvlLrjqyTJE1Km2RyNAAAAIDjVuWvUr29Xr2je6tPpz5mhwMAAHBRNGzRorWH16rGVqPuEd01OHaw2eEAAAAADqlpqNHHhz+WdG53rcViMTkiAACAi6Nhi2bV2+r1Uf5HkihuAQAA0DFtOLZBFfUViguN08j4kWaHAwAAcElo2KJZm05s0pnaM+oc3FkZiRlmhwMAAAA4xG7YtSJ3hSQpOy1bVgt/+gAAgI6BqgUXMAxDy3KXSZImpk5UgDXA5IgAAAAAx2w9uVVF1UWKCIjQ2OSxZocDAABwyWjY4gJfnPpCxyqOKdgvWJndM80OBwAAAHDI9zcgXJNyjYL8gkyOCAAA4NLRsMUFPsz9UJKU2SNToQGhJkcDAAAAOGb/6f3KLc1VgDVAWSlZZocDAADgEBq2aCLvbJ6+KvlKfhY/TUydaHY4AAAAgMOW5y2XJI1JGqOooCiTowEAAHAMDVs0sSzv3FfHRieOVkxIjMnRAAAAAI45Vn5MOwp3yCKLJqVNMjscAAAAh3WYhm1KSoosFkuTn0cffbTJmKVLl2rIkCEKDQ1Vjx499Nhjj11wnA0bNmjYsGEKCgpSr169tGTJkgvGPP/880pJSVFwcLDS09O1bds2d70tj1JUVaQtJ7ZIEsUtAACAG1DTut+KvBWSpBFxI5QQnmByNAAAAI7rMA1bSfrTn/6kkydPNv78+te/bnzuo48+0i233KIZM2Zo7969+stf/qInn3xSzz33XOOY/Px8ZWdna9y4cdq9e7dmz56tX/7yl1q9enXjmLffflv33nuv5s2bp507d2rw4MHKyspSUVFRu75XM3yU/5HssmtgzEClRKWYHQ4AAIBXoqZ1n7M1Z/XJ8U8kSZN7TjY5GgAAAOd0qIZtRESE4uPjG3/CwsIan3v99dc1depUzZgxQ2lpacrOztZDDz2kRYsWyTAMSdKLL76o1NRUPf744+rXr59mzZql66+/Xk8++WTjcZ544gnddddduv3229W/f3+9+OKLCg0N1SuvvNLu77c9VdRVaN2RdZIobgEAANyJmtZ9Vh1apQZ7gy7rdJn6dO5jdjgAAABO6VAN20cffVRdunTR0KFD9dhjj6mhoaHxudraWgUHBzcZHxISomPHjunw4cOSpM2bNyszM7PJmKysLG3evFmSVFdXpx07djQZY7ValZmZ2TjGW605vEY1thr1iOihQTGDzA4HAADAa1HTukd1Q7XWHF4jSZqcxgYEAADQcfmbHcCl+s1vfqNhw4apc+fO+uyzz/TQQw/p5MmTeuKJJySdK1LnzJmj6dOna9y4cTp48KAef/xxSdLJkyeVkpKigoICxcXFNTluXFycysrKVF1drTNnzshmszU75uuvv24xttraWtXW1jb+XlZWJkmy2+2y2+1t8v5bYrfbZRiGS/PU2+r1Uf5HkiFlp2XLMIzGHRzeri3y56vInWvIn/PInWvIn2vIn/McyZ0355eatnltcW6tP7JeFXUViguL07Cuw7x6HX0fn0uuIX/OI3euIX+uIX/OI3euaa+a1tSG7YMPPqhFixa1Omb//v3q27ev7r333sbHBg0apMDAQN19991auHChgoKCdNdddyk3N1eTJk1SfX29IiMj9dvf/lbz58+X1erejcQLFy7UH//4xwseP3XqlGpqatw6t91uV2lpqQzDcPp9flb0mYorixUdGK1efr28/tpm39cW+fNV5M415M955M415M815M95juSuvLy8naJqG9S0rnP13LIZNr339Xuqb6jXTzr/RMWnit0QpWfic8k15M955M415M815M955M417VXTmtqwve+++zR9+vRWx6SlpTX7eHp6uhoaGnTo0CH16dNHFotFixYt0oIFC1RQUKDY2Fjl5OQ0OUZ8fLwKCwubHKewsFCRkZEKCQmRn5+f/Pz8mh0THx/fYowPPfRQk+K7rKxMycnJio2NVWRkZKvvz1V2u10Wi0WxsbFOnWh2w65P93+qAP8ATekzRQnxvnUnXVfz58vInWvIn/PInWvIn2vIn/Mcyd0PLwng6ahpXefqubX5xGaV2crUObSzJl8+WYF+gW6I0jPxueQa8uc8cuca8uca8uc8cuea9qppTW3YxsbGKjY21qnX7t69W1arVV27dm3yuJ+fn7p16yZJevPNN5WRkdE4R0ZGhlauXNlk/Jo1a5SRkSFJCgwM1PDhw5WTk6OpU6dKOvcPkZOTo1mzZrUYS1BQkIKCgi543Gq1tsvit1gsTs+1u3C3jlceV0hAiK7ucbVPnqyu5M/XkTvXkD/nkTvXkD/XkD/nXWruOlpuqWnbhrPnlmEYWpG/QrJIWalZCg7oWA3/tsDnkmvIn/PInWvIn2vIn/PInWvao6btENew3bx5s7Zu3apx48YpIiJCmzdv1pw5c/Tzn/9cnTp1kiQVFxfrH//4h8aOHauamhq9+uqreuedd7Rx48bG48yYMUPPPfecHnjgAd1xxx1at26dli5dqhUrVjSOuffee3XbbbdpxIgRGjVqlJ566ilVVlbq9ttvb/f33R6W5S2TJGV2z1RoQKjJ0QAAAHgvalr32H96v3JLcxVgDdA1Pa4xOxwAAACXdYiGbVBQkN566y3Nnz9ftbW1Sk1N1Zw5c5p8ZUuSXnvtNd1///0yDEMZGRnasGGDRo0a1fh8amqqVqxYoTlz5ujpp59WUlKSXn75ZWVlZTWOmTZtmk6dOqU//OEPKigo0JAhQ7Rq1aoLbtrgDXLP5mpfyT75Wfw0MXWi2eEAAAB4NWpa91iWe24DwtjksYoKijI5GgAAANd1iIbtsGHDtGXLllbHxMTEaPPmzRc91tixY7Vr165Wx8yaNavVr4t5i+V5yyVJoxNHq0tIF5OjAQAA8G7UtG3vaPlR7SzaKYssyk7NNjscAACANsHFKnxUUVWRtpw49wfD5J6TTY4GAAAAcNz5DQij4kcpIdy3bp4LAAC8Fw1bH7Uyb6XssmtQzCD1iOxhdjgAAACAQ87UnNGnxz+VJGWnsbsWAAB4Dxq2PqiirkLrjq6TJF3X8zqTowEAAAAct+rQKjXYG9SnUx/16dzH7HAAAADaDA1bH7Tm8BrV2mrVI7KHBsQMMDscAAAAwCHVDdVac3iNJC7vBQAAvA8NWx9Tb6vXR/kfSZImp02WxWIxOSIAAADAMeuPrFdlfaUSwhI0PG642eEAAAC0KRq2PuaT45+otK5UXYK7KCMxw+xwAAAAAIfY7DatzF8pSZqUNklWC3/SAAAA70J140Pshl0r8lZIkq5Nu1b+Vn+TIwIAAAAcs/XkVp2qPqXIwEhdmXSl2eEAAAC0ORq2PmRn4U4drziuEP8QjU8eb3Y4AAAAgEMMw9CHeR9KkrJSshToF2hyRAAAAG2Phq0PWZ63XJJ0dY+rFRoQanI0AAAAgGP2lexTfmm+Aq2BuiblGrPDAQAAcAsatj7i4JmD2n96v/wt/pqQMsHscAAAAACHfZh7bnft2OSxigyMNDkaAAAA96Bh6yOW5S2TJF3R7Qp1CelicjQAAACAY46WHdXuU7tlkUXZadlmhwMAAOA2NGx9QGFlobad3Cbp3J10AQAAgI7m/OW9RsWPUnxYvMnRAAAAuA8NWx+wIn+F7LJrSOwQdY/sbnY4AAAAgENO15zWp8c/lSRN7jnZ5GgAAADci4atlyuvK9eGoxsksbsWAAAAHdNH+R+pwWhQ38591btTb7PDAQAAcCsatl5uzeE1qrXVKiUyRQNiBpgdDgAAAOCQ6oZqrT28VpI0OY3dtQAAwPvRsPVi9bZ6rcpfJencV8csFovJEQEAAACOWXdknaoaqpQYlqhhccPMDgcAAMDtaNh6sU+OfaLSulLFhMToRwk/MjscAAAAwCEN9gatzF8p6dzlvawW/nwBAADej4rHS9kNe+OddK9NvVb+Vn+TIwIAAAAcs+XkFhVXFysqMEpXJl1pdjgAAADtgoatl9pZuFMnKk8o1D9U47uPNzscAAAAwCGGYWhZ7jJJ0oTUCQrwCzA5IgAAgPZBw9ZLLcs7V9xm9shUiH+IydEAAAAAjtlbvFeHyg4pyC9IV/e42uxwAAAA2g0NWy/0zZlv9PXpr+Vv8dfE1IlmhwMAAAA47PzlvcYmj1VEYITJ0QAAALQfGrZeaHnuueL2x91+rM7BnU2OBgAAAHDMkbIj2n1qt6yyKjs12+xwAAAA2hUNWy9TUFmgbQXbJEmTek4yORoAAADAced3145KGKW4sDiTowEAAGhfNGy9zIq8FTJkaEjsECVHJJsdDgAAAOCQkuoSbTq+SZI0OW2yydEAAAC0Pxq2XqSsrkwbjm6QJF3X8zpTYwEAAACcserQKjUYDerXuZ96depldjgAAADtjoatF/n40Meqs9cpNSpV/bv0NzscAAAAwCFV9VVac3iNJGlSGpf3AgAAvomGrZeos9Vp9aHVkqTr0q6TxWIxOSIAAADAMeuPrld1Q7W6hXfTsLhhZocDAABgChq2XuKT45+orK5MsSGxSk9INzscAAAAwCE2u00fHfpIkpSdli2rhT9VAACAb6IK8gJ2w64VeSskSdemXis/q5/JEQEAAACO2VGyQyXVJYoKjNKV3a40OxwAAADT0LD1AnvO7FFBZYHCAsI0rvs4s8MBAAAAHGIYhtaeWCtJmpg6UQF+ASZHBAAAYB4atl7gfHF7dY+rFeIfYnI0AAAAgGP2luzVsapjCvQL1NU9rjY7HAAAAFPRsO3gvjnzjXLLc+Vv9deElAlmhwMAAAA4bFneMknSuORxCg8MNzkaAAAAc9Gw7eDOX7v2im5XqFNwJ5OjAQAAABxzuOyw9pzaI6usujb1WrPDAQAAMB0N2w6suLpY2wu3S5ImpU4yORoAAADAcavyV0mShnYZqq6hXU2OBgAAwHz+ZgcA58WExOiPGX/UlkNblBSRZHY4AAAAgMNu7X+rEsMSFW+JNzsUAAAAj0DDtoPr3am3ouqjzA4DAAAAcEpoQKiy07JVVFRkdigAAAAegUsiAAAAAAAAAICHoGELAAAAAAAAAB6Chi0AAAAAAAAAeAgatgAAAAAAAADgIWjYAgAAAAAAAICHoGELAAAAAAAAAB6Chi0AAAAAAAAAeAgatgAAAAAAAADgIWjYAgAAAAAAAICHoGELAAAAAAAAAB6Chi0AAAAAAAAAeAgatgAAAAAAAADgIWjYAgAAAAAAAICHoGELAAAAAAAAAB6Chi0AAAAAAAAAeAh/swPwRoZhSJLKysrcPpfdbld5ebmCg4NltdJ/dxT5cx65cw35cx65cw35cw35c54juTtfQ52vqWAOatqOgdy5hvw5j9y5hvy5hvw5j9y5pr1qWhq2blBeXi5JSk5ONjkSAACAjqu8vFxRUVFmh+GzqGkBAABc50xNazHYutDm7Ha7Tpw4oYiICFksFrfOVVZWpuTkZB09elSRkZFuncsbkT/nkTvXkD/nkTvXkD/XkD/nOZI7wzBUXl6uxMREdn6YiJq2YyB3riF/ziN3riF/riF/ziN3rmmvmpYdtm5gtVqVlJTUrnNGRkZyormA/DmP3LmG/DmP3LmG/LmG/DnvUnPHzlrzUdN2LOTONeTPeeTONeTPNeTPeeTONe6uadmyAAAAAAAAAAAegoYtAAAAAAAAAHgIGrYdXFBQkObNm6egoCCzQ+mQyJ/zyJ1ryJ/zyJ1ryJ9ryJ/zyB1aw/pwHrlzDflzHrlzDflzDflzHrlzTXvlj5uOAQAAAAAAAICHYIctAAAAAAAAAHgIGrYAAAAAAAAA4CFo2AIAAAAAAACAh6Bh2wE8//zzSklJUXBwsNLT07Vt27ZWx7/zzjvq27evgoODNXDgQK1cubKdIvUsCxcu1MiRIxUREaGuXbtq6tSpOnDgQKuvWbJkiSwWS5Of4ODgdorYc8yfP/+CPPTt27fV17DuvpOSknJB/iwWi2bOnNnseF9fd5988okmT56sxMREWSwWvf/++02eNwxDf/jDH5SQkKCQkBBlZmbq22+/vehxHf3s7Ihay119fb3mzp2rgQMHKiwsTImJifrFL36hEydOtHpMZ87/jupia2/69OkX5GLChAkXPa6vrz1JzX4GWiwWPfbYYy0e05fWnq+ipnUc9axrqGldQ0176ahnXUNN6zzqWdd4ck1Lw9bDvf3227r33ns1b9487dy5U4MHD1ZWVpaKioqaHf/ZZ5/p5ptv1p133qldu3Zp6tSpmjp1qvbu3dvOkZtv48aNmjlzprZs2aI1a9aovr5e11xzjSorK1t9XWRkpE6ePNn4c/jw4XaK2LNcfvnlTfLw6aeftjiWddfU9u3bm+RuzZo1kqQbbrihxdf48rqrrKzU4MGD9fzzzzf7/OLFi/XMM8/oxRdf1NatWxUWFqasrCzV1NS0eExHPzs7qtZyV1VVpZ07d+r3v/+9du7cqXfffVcHDhzQddddd9HjOnL+d2QXW3uSNGHChCa5ePPNN1s9JmvvnO/n7OTJk3rllVdksVj0s5/9rNXj+sra80XUtM6hnnUdNa3zqGkvHfWsa6hpnUc96xqPrmkNeLRRo0YZM2fObPzdZrMZiYmJxsKFC5sdf+ONNxrZ2dlNHktPTzfuvvtut8bZERQVFRmSjI0bN7Y45tVXXzWioqLaLygPNW/ePGPw4MGXPJ5117rf/va3Rs+ePQ273d7s86y770gy3nvvvcbf7Xa7ER8fbzz22GONj509e9YICgoy3nzzzRaP4+hnpzf4Ye6as23bNkOScfjw4RbHOHr+e4vm8nfbbbcZU6ZMceg4rL3mTZkyxRg/fnyrY3x17fkKatq2QT3rGGratkVNe2moZ11DTes86lnXeFpNyw5bD1ZXV6cdO3YoMzOz8TGr1arMzExt3ry52dds3ry5yXhJysrKanG8LyktLZUkde7cudVxFRUV6tGjh5KTkzVlyhR99dVX7RGex/n222+VmJiotLQ03XLLLTpy5EiLY1l3Laurq9Mbb7yhO+64QxaLpcVxrLvm5efnq6CgoMn6ioqKUnp6eovry5nPTl9RWloqi8Wi6OjoVsc5cv57uw0bNqhr167q06eP7rnnHpWUlLQ4lrXXvMLCQq1YsUJ33nnnRcey9rwTNW3boZ51HDVt26CmdR71bNujpnUM9WzbaO+aloatBysuLpbNZlNcXFyTx+Pi4lRQUNDsawoKChwa7yvsdrtmz56tK664QgMGDGhxXJ8+ffTKK6/ogw8+0BtvvCG73a7Ro0fr2LFj7Rit+dLT07VkyRKtWrVKL7zwgvLz8/WTn/xE5eXlzY5n3bXs/fff19mzZzV9+vQWx7DuWnZ+DTmyvpz57PQFNTU1mjt3rm6++WZFRka2OM7R89+bTZgwQX/729+Uk5OjRYsWaePGjZo4caJsNluz41l7zXvttdcUERGhn/70p62OY+15L2ratkE96zhq2rZDTes86tm2RU3rGOrZttPeNa2/K8ECHcXMmTO1d+/ei143JCMjQxkZGY2/jx49Wv369dNLL72k//7v/3Z3mB5j4sSJjf89aNAgpaenq0ePHlq6dOkl/d8kfOevf/2rJk6cqMTExBbHsO7gbvX19brxxhtlGIZeeOGFVsdy/n/npptuavzvgQMHatCgQerZs6c2bNigq666ysTIOpZXXnlFt9xyy0VvPMPaA1pHPes4PlfaDjUtPAE1reOoZ9tOe9e07LD1YDExMfLz81NhYWGTxwsLCxUfH9/sa+Lj4x0a7wtmzZql5cuXa/369UpKSnLotQEBARo6dKgOHjzopug6hujoaF122WUt5oF117zDhw9r7dq1+uUvf+nQ61h33zm/hhxZX858dnqz84Xt4cOHtWbNmlZ3IjTnYue/L0lLS1NMTEyLuWDtXehf//qXDhw44PDnoMTa8ybUtK6jnm0b1LTOoaZ1DfVs26CmbRvUs84xo6alYevBAgMDNXz4cOXk5DQ+ZrfblZOT0+T/XH5fRkZGk/GStGbNmhbHezPDMDRr1iy99957WrdunVJTUx0+hs1m0549e5SQkOCGCDuOiooK5ebmtpgH1l3zXn31VXXt2lXZ2dkOvY51953U1FTFx8c3WV9lZWXaunVri+vLmc9Ob3W+sP3222+1du1adenSxeFjXOz89yXHjh1TSUlJi7lg7V3or3/9q4YPH67Bgwc7/FrWnvegpnUe9WzboqZ1DjWta6hnXUdN23aoZ51jSk3r8m3L4FZvvfWWERQUZCxZssTYt2+f8atf/cqIjo42CgoKDMMwjFtvvdV48MEHG8dv2rTJ8Pf3N/785z8b+/fvN+bNm2cEBAQYe/bsMestmOaee+4xoqKijA0bNhgnT55s/Kmqqmoc88P8/fGPfzRWr15t5ObmGjt27DBuuukmIzg42Pjqq6/MeAumue+++4wNGzYY+fn5xqZNm4zMzEwjJibGKCoqMgyDdXcpbDab0b17d2Pu3LkXPMe6a6q8vNzYtWuXsWvXLkOS8cQTTxi7du1qvOvro48+akRHRxsffPCB8eWXXxpTpkwxUlNTjerq6sZjjB8/3nj22Wcbf7/YZ6e3aC13dXV1xnXXXWckJSUZu3fvbvI5WFtb23iMH+buYue/N2ktf+Xl5cb9999vbN682cjPzzfWrl1rDBs2zOjdu7dRU1PTeAzWXvPnrWEYRmlpqREaGmq88MILzR7Dl9eeL6KmdQ71rGuoaV1HTXtpqGddQ03rPOpZ13hyTUvDtgN49tlnje7duxuBgYHGqFGjjC1btjQ+N2bMGOO2225rMn7p0qXGZZddZgQGBhqXX365sWLFinaO2DNIavbn1VdfbRzzw/zNnj27MddxcXHGtddea+zcubP9gzfZtGnTjISEBCMwMNDo1q2bMW3aNOPgwYONz7PuLm716tWGJOPAgQMXPMe6a2r9+vXNnqvnc2S3243f//73RlxcnBEUFGRcddVVF+S1R48exrx585o81tpnp7doLXf5+fktfg6uX7++8Rg/zN3Fzn9v0lr+qqqqjGuuucaIjY01AgICjB49ehh33XXXBYUqa6/589YwDOOll14yQkJCjLNnzzZ7DF9ee76KmtZx1LOuoaZ1HTXtpaGedQ01rfOoZ13jyTWtxTAMw7E9uQAAAAAAAAAAd+AatgAAAAAAAADgIWjYAgAAAAAAAICHoGELAAAAAAAAAB6Chi0AAAAAAAAAeAgatgAAAAAAAADgIWjYAgAAAAAAAICHoGELAAAAAAAAAB6Chi0AAAAAAAAAeAgatgCAFqWkpOipp54yOwwAAADAKdSzADoiGrYA4CGmT5+uqVOnSpLGjh2r2bNnt9vcS5YsUXR09AWPb9++Xb/61a/aLQ4AAAB0XNSzANA2/M0OAADgPnV1dQoMDHT69bGxsW0YDQAAAOAY6lkAvogdtgDgYaZPn66NGzfq6aeflsVikcVi0aFDhyRJe/fu1cSJExUeHq64uDjdeuutKi4ubnzt2LFjNWvWLM2ePVsxMTHKysqSJD3xxBMaOHCgwsLClJycrP/8z/9URUWFJGnDhg26/fbbVVpa2jjf/PnzJV34FbIjR45oypQpCg8PV2RkpG688UYVFhY2Pj9//nwNGTJEr7/+ulJSUhQVFaWbbrpJ5eXl7k0aAAAAPAb1LAC4hoYtAHiYp59+WhkZGbrrrrt08uRJnTx5UsnJyTp79qzGjx+voUOH6vPPP9eqVatUWFioG2+8scnrX3vtNQUGBmrTpk168cUXJUlWq1XPPPOMvvrqK7322mtat26dHnjgAUnS6NGj9dRTTykyMrJxvvvvv/+CuOx2u6ZMmaLTp09r48aNWrNmjfLy8jRt2rQm43Jzc/X+++9r+fLlWr58uTZu3KhHH33UTdkCAACAp6GeBQDXcEkEAPAwUVFRCgwMVGhoqOLj4xsff+655zR06FAtWLCg8bFXXnlFycnJ+uabb3TZZZdJknr37q3Fixc3Oeb3rx+WkpKi//mf/9GMGTP0l7/8RYGBgYqKipLFYmky3w/l5ORoz549ys/PV3JysiTpb3/7my6//HJt375dI0eOlHSuEF6yZIkiIiIkSbfeeqtycnL0yCOPuJYYAAAAdAjUswDgGnbYAkAH8cUXX2j9+vUKDw9v/Onbt6+kc7sAzhs+fPgFr127dq2uuuoqdevWTREREbr11ltVUlKiqqqqS55///79Sk5ObixuJal///6Kjo7W/v37Gx9LSUlpLG4lKSEhQUVFRQ69VwAAAHgf6lkAuDTssAWADqKiokKTJ0/WokWLLnguISGh8b/DwsKaPHfo0CFNmjRJ99xzjx555BF17txZn376qe68807V1dUpNDS0TeMMCAho8rvFYpHdbm/TOQAAANDxUM8CwKWhYQsAHigwMFA2m63JY8OGDdM///lPpaSkyN//0j++d+zYIbvdrscff1xW67kvVixduvSi8/1Qv379dPToUR09erRxV8K+fft09uxZ9e/f/5LjAQAAgPejngUA53FJBADwQCkpKdq6dasOHTqk4uJi2e12zZw5U6dPn9bNN9+s7du3Kzc3V6tXr9btt9/eanHaq1cv1dfX69lnn1VeXp5ef/31xps3fH++iooK5eTkqLi4uNmvlmVmZmrgwIG65ZZbtHPnTm3btk2/+MUvNGbMGI0YMaLNcwAAAICOi3oWAJxHwxYAPND9998vPz8/9e/fX7GxsTpy5IgSExO1adMm2Ww2XXPNNRo4cKBmz56t6Ojoxp0GzRk8eLCeeOIJLVq0SAMGDND//d//aeHChU3GjB49WjNmzNC0adMUGxt7wU0epHNfBfvggw/UqVMnXXnllcrMzFRaWprefvvtNn//AAAA6NioZwHAeRbDMAyzgwAAAAAAAAAAsMMWAAAAAAAAADwGDVsAAAAAAAAA8BA0bAEAAAAAAADAQ9CwBQAAAAAAAAAPQcMWAAAAAAAAADwEDVsAAAAAAAAA8BA0bAEAAAAAAADAQ9CwBQAAAAAAAAAPQcMWAAAAAAAAADwEDVsAAAAAAAAA8BA0bAEAAAAAAADAQ9CwBQAAAAAAAAAP8f8BvA5YiNOpHzwAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", "\n", "ax = axes[0]\n", "ax.plot(elbos_em_bmr[1:], label='EM+BMR', alpha=0.8)\n", "ax.plot(elbos_pxl_bmr[1:], label='PX-EM+BMR', alpha=0.8)\n", "ax.plot(elbos_vbem_bmr[1:], label='VBEM+BMR', alpha=0.8)\n", "ax.plot(elbos_pxl_vb_bmr[1:], label='PX-VBEM+BMR', alpha=0.8)\n", "ax.set_xlabel('Iteration')\n", "ax.set_ylabel('ELBO')\n", "ax.set_title('ELBO Convergence (With BMR)')\n", "ax.legend()\n", "ax.grid(True, alpha=0.3)\n", "\n", "ax = axes[1]\n", "ax.plot(elbos_em_bmr[1:50], label='EM+BMR', alpha=0.8)\n", "ax.plot(elbos_pxl_bmr[1:50], label='PX-EM+BMR', alpha=0.8)\n", "ax.plot(elbos_vbem_bmr[1:50], label='VBEM+BMR', alpha=0.8)\n", "ax.plot(elbos_pxl_vb_bmr[1:50], label='PX-VBEM+BMR', alpha=0.8)\n", "ax.set_xlabel('Iteration')\n", "ax.set_ylabel('ELBO')\n", "ax.set_title('ELBO Convergence — First 50 Iterations')\n", "ax.legend()\n", "ax.grid(True, alpha=0.3)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "cell-21", "metadata": {}, "source": [ "### Loading Matrix Recovery (With BMR)" ] }, { "cell_type": "code", "execution_count": 10, "id": "cell-22", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_bmr = {\n", " 'EM+BMR': params_em_bmr.emissions.weights,\n", " 'PX-EM+BMR': params_pxl_bmr.emissions.weights,\n", " 'VBEM+BMR': params_vbem_bmr.emissions.weights,\n", " 'PX-VBEM+BMR': params_pxl_vb_bmr.emissions.weights,\n", "}\n", "\n", "fig, axes = plt.subplots(1, 5, figsize=(20, 6))\n", "vmax = jnp.abs(H_true).max()\n", "\n", "sns.heatmap(jnp.pad(H_true, [(0, 0), (0, K)]), ax=axes[0], cmap='RdBu_r', center=0, vmin=-vmax, vmax=vmax)\n", "axes[0].set_title('True H')\n", "\n", "for idx, (name, H_est) in enumerate(results_bmr.items()):\n", " H_aligned, disparity = procrustes_similarity(H_est, H_true)\n", " sparsity = jnp.mean(jnp.abs(H_est) < 0.05)\n", " sns.heatmap(H_aligned, ax=axes[idx + 1], cmap='RdBu_r', center=0, vmin=-vmax, vmax=vmax)\n", " axes[idx + 1].set_title(f'{name}\\n||.||={disparity:.2f}, Sp={sparsity:.0%}')\n", "\n", "plt.suptitle('Loading Matrix Recovery (With BMR)', y=1.02)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "cell-23", "metadata": {}, "source": [ "## 7. Summary\n", "\n", "**PX-VB rotation (static FA):**\n", "The rotation $\\mathbf{R}$ is found by numerically minimizing\n", "$\\mathcal{L}(\\mathbf{R}) = \\mathbb{E}_q[-\\ln p(\\tilde{\\mathbf{H}}, \\tilde{\\mathbf{x}} \\mid \\mathbf{R})]$\n", "via gradient descent with Anderson acceleration (m=1). For static FA only the\n", "initial and emission terms contribute. The converged $\\mathbf{R}$ transforms:\n", "- $\\tilde{\\mathbf{H}} = \\mathbf{H} \\mathbf{R}_\\text{block}$, $\\mathbf{R}_\\text{block} = \\text{blkdiag}(\\mathbf{R}, \\mathbf{I})$\n", "\n", "If the optimization does not reduce the loss, $\\mathbf{R}$ falls back to identity.\n", "\n", "**Expected findings:**\n", "- PX-EM should converge faster than standard EM (fewer iterations to reach same ELBO)\n", "- PX-EM may find sparser solutions when combined with BMR\n", "- The VB variants (VBEM, PX-VBEM) provide uncertainty quantification through the correction terms" ] } ], "metadata": { "kernelspec": { "display_name": "sppcax", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.2" } }, "nbformat": 4, "nbformat_minor": 5 }