From 07f1c6ebfbfa733c7f415fd63a0bcb5eda31b14a Mon Sep 17 00:00:00 2001 From: Angela Jia <42385351+22angiej@users.noreply.github.com> Date: Fri, 12 Jul 2024 15:43:06 -0700 Subject: [PATCH] Replace calibration with RP speaker drive --- calibration.ipynb | 345 ------------------------------------------ calibration_rp.ipynb | 351 +++++++++++++++++++++++++++++++++++++++++++ 2 files changed, 351 insertions(+), 345 deletions(-) delete mode 100644 calibration.ipynb create mode 100644 calibration_rp.ipynb diff --git a/calibration.ipynb b/calibration.ipynb deleted file mode 100644 index dfad56c..0000000 --- a/calibration.ipynb +++ /dev/null @@ -1,345 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "id": "5e3c1deb", - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import scipy\n", - "import pandas as pd\n", - "import lmfit" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "a2845a38", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Index(['Vpp (V)', 'Frequency (Hz)', 'Displacement (Microns)',\n", - " 'Uncertainty (Microns)'],\n", - " dtype='object')\n", - "Index(['Frequency (Hz)', 'Phase (radians)', 'Uncertainty (radians)'], dtype='object')\n" - ] - } - ], - "source": [ - "df = pd.read_csv('../TestData.csv')\n", - "df_phase = pd.read_csv('../PhaseData.csv')\n", - "data = df.to_numpy()\n", - "phase_data = df_phase.to_numpy()\n", - "\n", - "print(df.columns)\n", - "print(df_phase.columns)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "03446f09", - "metadata": {}, - "outputs": [], - "source": [ - "data2v = data[:-13]\n", - "vpp2 = data2v[:, 0]\n", - "freqs2 = data2v[:, 1]\n", - "displ2 = data2v[:, 2]\n", - "displ2_sigma = data2v[:, 3]\n", - "\n", - "data1v = data[-13:]\n", - "vpp1 = data1v[:, 0]\n", - "freqs1 = data1v[:, 1]\n", - "displ1 = data1v[:, 2]\n", - "\n", - "freqs_phase = phase_data[:, 0]\n", - "phases = phase_data[:, 1]\n", - "phase_sigma = phase_data[:, 2]" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "292e1321", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "vampl1 = vpp1/2\n", - "vampl2 = vpp2/2\n", - "\n", - "fig, ax = plt.subplots(2)\n", - "ax[0].plot(freqs2, displ2/vampl2, marker='.', label=\"2 Vpp Data\")\n", - "ax[0].scatter(freqs1, displ1/vampl1, marker='.', label=\"1 Vpp Data\", color='black')\n", - "ax[0].set_title(\"Plot of Displacement/Vampl vs. Frequency\")\n", - "ax[0].legend()\n", - "ax[0].loglog()\n", - "ax[0].set_ylabel(\"Displ (microns)/Vampl (V)\")\n", - "ax[0].set_xlabel(\"Frequency (Hz)\")\n", - "ax[0].errorbar(freqs2, displ2/vampl2, yerr=displ2_sigma, fmt='none')\n", - "\n", - "ax[1].plot(freqs_phase, phases, marker='.')\n", - "ax[1].set_xscale('log')\n", - "ax[1].set_xlabel(\"Logscale Frequency (Hz)\")\n", - "ax[1].set_ylabel(\"Phase (radians)\")\n", - "ax[1].errorbar(freqs_phase, phases, yerr=phase_sigma, fmt='none')\n", - "plt.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "id": "c8d2b26f", - "metadata": {}, - "source": [ - "$$\n", - "A = \\frac{k f_0^2}{\\sqrt{(f_0^2 - f^2)^2 + \\frac{f_0^2}{Q^2}f^2}}\n", - "$$" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "10324403", - "metadata": {}, - "outputs": [], - "source": [ - "def A(f, f0, Q, k):\n", - " return (k * f0**2) / np.sqrt((f0**2 - f**2)**2 + f0**2*f**2/Q**2)" - ] - }, - { - "cell_type": "markdown", - "id": "88247f41", - "metadata": {}, - "source": [ - "Add constant $c$ to account for phase offset from data between 40-1kHz: \n", - "\n", - "\n", - "$$\n", - "\\phi = \\arctan \\left( \\frac{\\frac{f_0}{Q} f}{f^2 - f_0^2} \\right) + c\n", - "$$" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "dcf9688f", - "metadata": {}, - "outputs": [], - "source": [ - "def phase(f_trunc, f0, Q, c):\n", - " return np.arctan2(f0/Q*f_trunc, f_trunc**2 - f0**2) + c" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "71604fc7", - "metadata": {}, - "outputs": [], - "source": [ - "params = lmfit.Parameters()\n", - "params.add_many(('f0', 255), ('Q', 30), ('k', 1), ('c', 0.1))" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "246a00de", - "metadata": {}, - "outputs": [], - "source": [ - "f_tot = np.append(freqs_phase, freqs2)\n", - "y_tot = np.append(phases, displ2/vampl2)" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "38797d52", - "metadata": {}, - "outputs": [], - "source": [ - "def combined_func(ftot, f0, Q, k, c):\n", - " f_trunc = ftot[:len(freqs_phase)]\n", - " f = ftot[len(freqs_phase):]\n", - " \n", - " phase_val = phase(f_trunc, f0, Q, c)\n", - " A_val = A(f, f0, Q, k)\n", - " \n", - " return np.append(phase_val, A_val)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "9fbafb14", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "parameter names: ['f0', 'Q', 'k', 'c']\n", - "independent variables: ['ftot']\n" - ] - } - ], - "source": [ - "model = lmfit.Model(combined_func, weights=np.append(1/phase_sigma, 1/displ2_sigma), scale_covar=False)\n", - "params = model.make_params(f0=255, Q=30, k=1, c=-0.1)\n", - "print(f'parameter names: {model.param_names}')\n", - "print(f'independent variables: {model.independent_vars}')" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "4ed12288", - "metadata": {}, - "outputs": [], - "source": [ - "result = model.fit(y_tot, params, ftot=f_tot)" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "18db6fa7", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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91/C9q1u3Lu3atWPUqFG4urry9ttvZ8pyPnXq1KFRo0aG7c033zTa7+fnZ/T6/PnzQPJY3aevi82bNxuuiZSf57Q+p7R+t2TEhQsXUEoxbNiwVOdO+c+QqddkSqJWtmzZZ567Q4cOWFlZGRLfqKgo1q5dS5cuXWStwjzkpWbFxsfHY2VllVmxCJGuqlWrGmbFvo5SBrQ/a9kUd3d3jh8/zqZNm9iwYQMbNmxg3rx5dOvWjfnz5790DP/3f/9Hjx49aN26NV988QXu7u6G8YtP9gBkhF6vR6PRsGHDBqOelBRPL12RVp1nlat/xwqmLAfz3nvv0b179zTrli9f3qQ2nyU2NpadO3cyY8aMVPtatGiBk5MTixYtonPnzixatAitVmvUE9m/f3/mzZvHgAEDqFGjBk5OTmg0Gjp27Jjm0jamfC4Zif9lVK9eHV9fX5YsWULnzp1Zs2YNcXFxdOjQwVBHo9GwbNkyDh48yJo1awzL+UyYMIGDBw+m+r5nlid7QuG/62LBggV4enqmqv8iy86klxilTBp5+tyDBg1K9z+nT/+cv8w1+aR8+fLRokULFi5cyPDhw1m2bBnx8fG89957JrUjcjaTrt4NGzawePFi9uzZw9WrV9Hr9djZ2VGpUiUaN25Mz549KVCgQFbFKkSGFS5cGICzZ88aZtCmOHv2rGE/pP8L+XntFilSxFCekJBAWFgYjRo1epmw05Uy8P1ZvZSQ3HPYsmVLWrZsiV6v5+OPP+bnn39m2LBhRn8szp8/T/369Q2vHz16REREhNGA/6ctW7aMIkWKsGLFCqPP7OlbrkWLFmXTpk3cv38/3V67okWLopTCz8/PcBsyK7i5ueHg4IBOp8vU701618z27duJj4+nadOmqfZZWVnxzjvv8Ouvv3Lr1i2WLl1KgwYNjBKLZcuW0b17dyZMmGAoe/z4carJJJklpefqSefOnXvhJ5q0b9+eKVOmEB0dTWhoKL6+vlSvXj1VverVq1O9enW+++47Fi1aRJcuXVi8eDHvv//+C53XVEWLFgWS/zP0rOsi5ec9rc/p7NmzRq9TetGe/l493Yuf8nvDwsIi067JlPdz8uTJ566Z2a1bN95++20OHz7MwoULqVSpEmXKlMmUOETOkKFbsStXrqR48eL06tULc3NzvvzyS1asWMGmTZuYM2cOdevWZevWrRQpUoQPP/wwzenUQrxKlStXxt3dnZkzZxrd5tmwYQOnT5+mefPmhrKUNa0y8sezUaNGWFpaMnXqVKP/Lf/yyy9ERUUZtZtZFi1axJw5c6hRowYNGzZMt969e/eMXpuZmRl6o56+1TVr1iyjMU4zZswgKSkpzYQkRUqvwZPv+9ChQxw4cMCoXrt27VBKMWrUqFRtpBzbtm1btFoto0aNStXroJRK9V5elFarpV27dixfvjzNZTxe9HeVnZ1dmrdG169fT+XKlfHw8EjzuC5dupCYmEjfvn25c+dOqrXrtFptqs/jp59+StXrk1lWrVplNJ7rjz/+4NChQ8+8Dp6lQ4cOxMfHM3/+fDZu3Ej79u2N9kdGRqZ6fxUrVgSMr9GLFy+a3AtsisDAQBwdHfn+++/THOuXcl14eXlRsWJF5s+fb/T93rJlC6dOnTI6pnDhwmi1Wnbv3m1UPn36dKPX7u7u1KtXj59//pmIiIh0z22Kxo0b4+DgwJgxY1ItWfL05920aVNcXV0ZN24cu3btkt66PChDPXY//PADkyZNomnTpkYDxlOk/PBev36dn376if/7v//js88+y9xIhTCBhYUF48aNo2fPntStW5dOnTpx69YtpkyZgq+vr9H1GRAQAMAnn3xCYGBgqttjT3Jzc2Po0KGMGjWKJk2a0KpVK86ePcv06dOpUqXKS/+SXLZsGfb29iQkJBiePLFv3z4qVKjA0qVLn3ns+++/z/3792nQoAHe3t5cvnyZn376iYoVK1KqVCmjugkJCTRs2JD27dsb4q9VqxatWrVKt/0WLVqwYsUK2rRpQ/PmzQkLC2PmzJmULl3aaMB8/fr16dq1K1OnTuX8+fM0adIEvV7Pnj17qF+/Pv369aNo0aL873//Y+jQoYSHh9O6dWscHBwICwtj5cqVfPDBBwwaNOilPssUY8eOZceOHVSrVo0+ffpQunRp7t+/z59//snWrVu5f/++yW0GBAQQGhrKwIEDqVKlCvb29rRs2ZL169cbxu6lpW7dunh7e7N69WpsbGxSLYHTokULFixYgJOTE6VLl+bAgQNs3br1mcv6vIxixYpRq1YtPvroI+Lj45k8eTIuLi4MHjz4hdp74403KFasGF9//TXx8fFGt2EheYzm9OnTadOmDUWLFuXhw4fMnj0bR0dHo97ilP/AvMhYv4xwdHRkxowZdO3alTfeeIOOHTvi5ubGlStXWLduHW+++SbTpk0DYMyYMTRv3pxatWrRq1cv7t+/z08//USZMmWMrnsnJyfeffddfvrpJzQaDUWLFmXt2rWpxstB8pjhWrVqUa5cOfr06UORIkW4desWBw4c4Nq1a5w4ccLk9zNp0iTef/99qlSpQufOncmXLx8nTpwgNjbWaCiGhYUFHTt2ZNq0aWi12hy7wLt4Ca92Eq4QpkmZ7v+85RHSW2ogNDRUVapUSVlZWan8+fOrLl26GC3voFTychD9+/dXbm5uSqPRZGjpk2nTpqmSJUsqCwsL5eHhoT766CMVGRlpVOdFljtJ2aytrZW3t7dq0aKFmjt3rtGyCCmeXu5k2bJlqnHjxsrd3V1ZWlqqQoUKqb59+6qIiAhDnZTPc9euXeqDDz5Q+fLlU/b29qpLly7q3r17Ru0/vdyJXq9X33//vSpcuLCysrJSlSpVUmvXrk0Vh1LJn+n48eNVyZIllaWlpXJzc1NNmzZVR48eNaq3fPlyVatWLWVnZ6fs7OxUyZIlVVBQkGH5j5Q4ypQpk+r9Fy5cWDVv3jxVOaCCgoKMym7duqWCgoKUj4+PsrCwUJ6enqphw4Zq1qxZhjop19DSpUuNjk1ruYpHjx6pzp07K2dnZ8OyFydPnlSA+uOPP1LF9KQvvvhCAap9+/ap9kVGRqqePXsqV1dXZW9vrwIDA9WZM2dU4cKFVffu3Q310vu5SO+a6969u7Kzs0v1nsaPH68mTJigfHx8lJWVlapdu7Y6ceJEmm1m1Ndff60AVaxYsVT7/vzzT9WpUydVqFAhZWVlpdzd3VWLFi3UkSNHjOoVLlw43eVkMvJ+Uzzv98eOHTtUYGCgcnJyUtbW1qpo0aKqR48eqeJZvny5KlWqlLKyslKlS5dWK1asSPO6v3PnjmrXrp2ytbVV+fLlU3379jVcF09eP0opdfHiRdWtWzfl6empLCwsVMGCBVWLFi3UsmXLnht/er/vfv/9d1WzZk1lY2OjHB0dVdWqVdVvv/2W6n3/8ccfClCNGzdO83MRuZtGqYyNvhw0aBDvv/8+JUuWzKSUUgjxqoWEhNCzZ08OHz78Wk9GyQo//PADEydOJCIiIsfPMAwPD8fPz4/x48dnWs/o66ZHjx7s3Lkzy3oVs9KJEyeoWLEiv/76q2Hxc5F3ZHi5k9WrV1OmTBlq1qzJ3LlzDWsxCSGESH6M3KRJk3J8UifE7Nmzsbe3f6mn4YicK8OJ3fnz59mxYwfFixfn008/xdPTk169erF///6sjE8IIXKF9u3by3glkaOtWbOGcePGMWvWLPr06WOYOCbyFpMWKK5Tpw4hISHcvHmTKVOmcP78eWrVqkWpUqX48ccfTX6+oBBCCCFejf79+zNy5EiaNWuW5qx1kTdkeIxdei5cuMC8efOYOXMmjx49eukVxIUQQgghxIt5qUeKxcTEsGfPHnbt2kVkZKTRgq1CCCGEEOLVeqEeu7179zJ37lyWLVuGUop3332X3r17p3o+X26g1+u5ceMGDg4OMuhZCCGEEDmOUoqHDx9SoECBNNcTflKGE7uIiAjmz59PSEgI586do3r16vTq1YuOHTtm2fP9XoVr166lemC2EEIIIUROc/XqVby9vZ9ZJ8PPivXx8cHFxYWuXbvSu3fvVCvZ51YODg5A8ofl6OiYzdEIIYQQQhiLjo7Gx8fHkLM8S4YTuyVLltCqVSvMzTN8SK6QcvvV0dFREjshhBBC5FgZGTKWockTMTExtG3bNsNJXW5YvDg4OJjSpUtTpUqV7A5FCCGEECJTZCixK1asGGPHjiUiIiLdOkoptmzZQtOmTZk6dWqmBZhVgoKCOHXqFIcPH87uUIQQQgghMkWGuuB27tzJV199xciRI6lQoQKVK1emQIECWFtbExkZyalTpzhw4ADm5uYMHTqUvn37ZnXcQgghhBDiKSYtd3LlyhWWLl3Knj17uHz5MnFxcbi6ulKpUiUCAwNp2rQpWq02K+PNdNHR0Tg5OREVFZXuGDu9Xk9CQsIrjkxkJwsLi1x3LQshXlPxj2BBG9BooNvvYGGd3RGJTJaRXCXFSz95Ird73oeVkJBAWFgYer0+G6IT2cnZ2RlPT09Z31AIkbOdCIWVHyR/3WU5+DfK3nhEpjMlsctbU1wzmVKKiIgItFotPj4+z10UUOQNSiliY2O5ffs2AF5eXtkckRBCPEPEif++vv2PJHavOUnsniEpKYnY2FgKFCiAra1tdocjXiEbGxsAbt++jbu7u9yWFULkXA8u//f1/bDsi0PkCNIF9Qw6nQ4AS0vLbI5EZIeUZD4xMTGbIxFCiGd4cOW/ryPDsy0MkTNIYpcBMsbq9STfdyFErvBkj12k9Ni97l7bxE4WKBZCCJHrxT2Ax1H/vY66DjLZ77WWoTF2f/31V4YbLF++/AsH8yoFBQURFBRkmGkihBBC5DpRV5P/tXKC+GjQJ0LMHXDwyN64RLbJUGJXsWJFNBoN6a2MkrJPo9EYxqUJIYQQIouljK9zKQIPb8LDCIi+JondayxDt2LDwsK4dOkSYWFhaW4p+y5dupTV8YoMGDNmDFWqVMHBwQF3d3dat27N2bNn063fv39/SpUqlea+K1euoNVq+f3337MqXAB8fX3RaDRoNBpsbGzw9fWlffv2bN++3eS2evToQevWrTM/SCGEyGlSEjsnH3AsmPx11LXsi0dkuwwldoULF87wJtIWERXH/ot3iYiKy/Jz7dq1i6CgIA4ePMiWLVtITEykcePGxMTEpFm/d+/enDlzhv3796faFxISgru7O82aNcvqsBk9ejQRERGcPXuWX3/9FWdnZxo1asR3332X5ecWQohcKSWxy1cYnFISu+vZF4/Idi80eeLs2bP069ePhg0b0rBhQ/r16/fMHqG8QilFbEKSyduCA+G8OXY7nWcf4s2x21lwINzkNkx5QMjGjRvp0aMHZcqUoUKFCoSEhHDlyhWOHj2aZv2KFSvyxhtvMHfu3FTvNyQkhO7du2Nubk54eDgajYbFixdTs2ZNrK2tKVu2LLt27TIcs3PnTjQaDevWraN8+fJYW1tTvXp1Tp48+dy4HRwc8PT0pFChQtSpU4dZs2YxbNgwhg8fbri+dDodvXv3xs/PDxsbG0qUKMGUKVMMbYwcOZL58+ezevVqQw/gzp07Afjyyy8pXrw4tra2FClShGHDhslSJkKI3C0lsXMunNxrBxAtid3rzOQFipcvX07Hjh2pXLkyNWrUAODgwYOULVuWxYsX065du0wPMqeIS9RReviml2pDr2DY6n8Ytvofk447NToQW8sXW086Kip5xlT+/PnTrdO7d2+GDBnClClTsLOzA5KTtLCwMHr16mVU94svvmDy5MmULl2aiRMn0rJlS8LCwnBxcTGqM2XKFDw9Pfnqq69o2bIl586dw8LCwqTYP/30U7799ltWr17N4MGD0ev1eHt7s3TpUlxcXNi/fz8ffPABXl5etG/fnkGDBnH69Gmio6OZN2+e0ft2cHAgJCSEAgUK8Pfff9OnTx8cHBwYPHiwSTEJIUSOkbLUiXMh0P37H1W5FftaM7nHbvDgwQwdOpQDBw4wceJEJk6cyP79+/nqq6/kD2QOpNfrGTBgAG+++SZly5ZNt17nzp1JTExk6dKlhrJ58+ZRq1YtihcvblS3X79+tGvXjlKlSjFjxgycnJz45ZdfjOqMGDGCt956i3LlyjF//nxu3brFypUrTY4/f/78uLu7Ex4eDoCFhQWjRo2icuXK+Pn50aVLF3r27MmSJUsAsLe3x8bGBisrKzw9PfH09DQsMP3NN99Qs2ZNfH19admyJYMGDTIcJ4QQudKDf2fFOhf671as9Ni91kzuAoqIiKBbt26pyt977z3Gjx+fKUHlVDYWWk6NDjTpmJtRj2k0cRf6J+6kmmlg68C6eDpZm3TuFxEUFMTJkyfZu3fvM+s5OzvTtm1b5s6dS48ePYiOjmb58uUEBwenqpvSUwtgbm5O5cqVOX36dLp18ufPT4kSJVLVyaiUGdcpgoODmTt3LleuXCEuLo6EhAQqVqz43HZCQ0OZOnUqFy9e5NGjRyQlJT33YcpCCJFjPY6Cxw+Sv3bygYTY5K9ljN1rzeQeu3r16rFnz55U5Xv37qV27dqZElROpdFosLU0N2kr4mbPmLbl0P6bmGg1Gsa0LUcRN3uT2nmRpyD069ePtWvXsmPHDry9vZ9bv3fv3uzZs4cLFy4QGhqKVqvl3XffNfm8menevXvcuXMHPz8/ABYvXsygQYPo3bs3mzdv5vjx4/Ts2ZOEhIRntnPgwAG6dOlCs2bNWLt2LceOHePrr79+7nFCCJFjpfTW2eQHK/v/euwe3QRdUvbFJbKVyT12rVq14ssvv+To0aNUr14dSB5jt3TpUkaNGmW0LEarVq0yL9J0XL16la5du3L79m3Mzc0ZNmxYticjT+tQpRB1irsRfjcWX1dbvJxssvR8Sin69+/PypUr2blzpyEpep769evj5+fHvHnz2LFjBx07djSMt3vSwYMHqVOnDgBJSUkcPXqUfv36papTqFAhACIjIzl37ly6S6o8y5QpUzAzMzMsX7Jv3z5q1qzJxx9/bKhz8eJFo2MsLS1Trae4f/9+ChcuzNdff20ou3z5MkIIkWsZJk4k/67Fzh3MLJIXKX4YAc4+2RebyDYmJ3Ypf1CnT5/O9OnT09wHvLLFis3NzZk8eTIVK1bk5s2bBAQE0KxZszQTkuzk5WST5QldiqCgIBYtWsTq1atxcHDg5s2bADg5OWFjk34MGo2GXr16MXHiRCIjI5k0aVKa9YKDg/H396dUqVJMmjSJyMjIVBMsRo8ejYuLCx4eHnz99de4uro+d225hw8fcvPmTRITEwkLC+P//u//mDNnDmPGjKFYsWIA+Pv78+uvv7Jp0yb8/PxYsGABhw8fNkpefX192bRpE2fPnsXFxQUnJyf8/f25cuUKixcvpkqVKqxbt+6FxvwJIURO8SD8L5yBWCtXbAHMzMDRKznhi74uid3rSuUx5cuXV1euXMlw/aioKAWoqKioVPvi4uLUqVOnVFxcXGaGmOWANLd58+Y999irV68qMzMzVaZMmVT7wsLCFKAWLVqkqlatqiwtLVXp0qXV9u3bDXV27NihALVmzRpVpkwZZWlpqapWrapOnDjxzPMWLlzYEKelpaUqVKiQat++vVHbSin1+PFj1aNHD+Xk5KScnZ3VRx99pIYMGaIqVKhgqHP79m311ltvKXt7ewWoHTt2KKWU+uKLL5SLi4uyt7dXHTp0UJMmTVJOTk7pxpRbv/9CiLxvzpw5KriZtVIjHNWYRtZqzpw5yTt+aaLUCEel/lqavQGKTPWsXOVp2Z7Y7dq1S7Vo0UJ5eXkpQK1cuTJVnWnTpqnChQsrKysrVbVqVXXo0KE02zpy5EiaCcmz5MXELqukJHbHjh1Lt05KYhcZGfnK4soq8v0XQuREKf8B39rVVqkRjqpbBQul1WrV1atXVcyvnZQa4agi143K7jBFJjIlsXuhhdEOHz7Mjh07uH37Nnq93mjfxIkTTWorJiaGChUq0KtXL9q2bZtqf2hoKAMHDmTmzJlUq1aNyZMnExgYyNmzZ3F3dzfUu3//Pt26dWP27NnPPF98fDzx8fGG19HR0SbFK4QQQmSn8+fPo9frKemaPP/xzF09Op2OKVOm4PTnSr6pbUnojLGYRxSkd+/e2RyteNVMTuy+//57vvnmG0qUKIGHh4fRbM0XmbnZtGlTmjZtmu7+iRMn0qdPH3r27AnAzJkzWbduHXPnzmXIkCFAcrLWunVrhgwZQs2aNZ95vjFjxjBq1CiT4xRCCCFyAn9/f5yszSjomJzYnb2rw8zMjIkTJ9K5bPLSWP75NTTu25fAwMAMrYog8g6TE7spU6YY1jrLagkJCRw9epShQ4cayszMzGjUqBEHDhwAkmeA9ujRgwYNGtC1a9fntjl06FAGDhxoeB0dHY2PjwwwzQhfX9/nPtqsXr16Jj3+TAghhGm8vb2ZP+FruD2FiId6HiVpGTjwM3788UfO3UvuYCnuYoZOp+PChQuS2L1mTF7HzszMjDfffDMrYknl7t276HQ6PDw8jMo9PDwMMz337dtHaGgoq1atomLFilSsWJG///473TatrKxwdHRkwYIFVK9enYYNG2bpexBCCCEy29vVk1cKsPapQHh4OJ9++ilmZmacv5e8GoW3oxmO1lrDigLi9WFyYvfZZ5+l+TSC7FKrVi30ej3Hjx83bOXKlXvucUFBQZw6dYrDhw+/giiFEEKITBTxFwD5StXF29sbb29vZs2aRXSiljsxyWPfQyYOl96615DJt2IHDRpE8+bNKVq0KKVLl071UPcVK1ZkWnCurq5otVpu3bplVH7r1i08PT0z7TxCCCFErhJxIvlfr4qGot69exMYGIjlknYQfYY2tdN/PrjIu0zusfvkk0/YsWMHxYsXNyz++uSWmSwtLQkICGDbtm2GMr1ez7Zt24yeRfoigoODKV26NFWqVHnZMIUQQohXR6+DWyeTv/aqYLTL29sbpyIBAFw6splr16696uhENjO5x27+/PksX76c5s2bZ0oAjx494sKFC4bXYWFhHD9+nPz581OoUCEGDhxI9+7dqVy5MlWrVmXy5MnExMQYZsm+qKCgIIKCgoiOjs70hFQIIYTIMnfPQWIsOjMrIuKsePpm6x9hUVQFjqz7lU69ZzNr1ixZ9uQ1YnKPXf78+SlatGimBXDkyBEqVapEpUqVABg4cCCVKlVi+PDhAHTo0IEff/yR4cOHU7FiRY4fP87GjRtTTagQQgghXgf7fvsRgJ0XYijsV4RffvnFsO/atWsMn74UgAoeZuj1evr27Ss9d68RkxO7kSNHMmLECGJjYzMlgJTlMZ7eQkJCDHX69evH5cuXiY+P59ChQ1SrVu2lzyu3YoUQQuQ2165d4/Lu3wDYc0WXKnE7f/48xyKSAPB3McPWAsOyJ+L1YHJiN3XqVDZs2ICHhwflypXjjTfeMNpyi7w8K3b37t20bNmSAgUKoNFoWLVq1TPrT5gwgXz58vH48eNU+2JjY3F0dGTq1KlZFG2yevXqodFo0Gg0WFlZUbBgQVq2bPlCk3FGjhxJxYoVMz9IIYTIZufPnaN2oeRFiHdfTk7gnkzc/P39uRunIeKhHjONhrLuWrRaWfbkdWLyGLvWrVtnQRgiMz3vMW1P69q1K0OHDmXFihV07tzZaN+yZctISEjgvffey6pwDfr06cPo0aNJSkri2rVrrFy5ko4dO9KjRw9mzZqV5ecXQoicrqSXHV5OZiTqFAevJa9Z92TilrLsyV87P8HLwYxKXuZ8MCpYlj15nWThM2tztGnTpqlSpUqp4sWLp/tg3cx8CPzVq1fV9u3b1dWrV1+6LVMAauXKlc+t17ZtW9WwYcNU5XXr1lUdOnQwam/69OmqSZMmytraWvn5+amlS5ca9oeFhSlA/fbbb6pGjRrKyspKlSlTRu3cufOZ569bt6769NNPU5XPnTtXAWrLli2GssGDByt/f39lY2Oj/Pz81DfffKMSEhKUUkrNmzdPAUbbvHnzlFJKTZgwQZUtW1bZ2toqb29v9dFHH6mHDx+mG1Nmfv+FECJTHP1VqRGO6kBvOwUorVar5syZk6pa1PLPlBrhqB7+1jsbghSZLSoqKt1c5Wkm34rNK17lrdhffvmFwoUL06BBAwoXLmw00DWn6N27N9u3b+fy5cuGskuXLrF79+5Us6mGDRtGu3btOHHiBF26dKFjx46cPn3aqM4XX3zB559/zrFjx6hRowYtW7bk3r17JsfVvXt38uXLZ3RL1sHBgZCQEE6dOsWUKVOYPXs2kyZNApIn23z++eeUKVOGiIgIIiIi6NChA5D81JSpU6fyzz//MH/+fLZv387gwYNNjkkIIbLNuY0AlGqVvPRYeHh4mjNeHUs1AMD+/qlXGp7IAUzNGpOSktT48eNVlSpVlIeHh8qXL5/Rlts8KwvOjB6bq1evKjMzM6MeJK1W+8p67shgj11SUpIqWLCgGjFihKFs2LBhqlChQkqn0xm19+GHHxodW61aNfXRRx8ppf7rsRs7dqxhf2JiovL29lbjxo1L9/zp9diltN+0adN0jx0/frwKCAgwvB4xYoSqUKFCuvVTLF26VLm4uKS7X3rshBA5SkKcUv/zUmqEo1LXjz277sNbyfVGOCkV9+BVRCeyUJb22I0aNYqJEyfSoUMHoqKiGDhwIG3btsXMzIyRI0dmYsqZN5w/fx69Xm9UlhNnKGm1Wrp3705ISAhKKfR6PfPnz6dnz56YmRlfJk8vDl2jRo1UPXZP1jE3N6dy5cqp6mSUUgqNRmN4HRoayptvvomnpyf29vZ88803XLly5bntbN26lYYNG1KwYEEcHBzo2rUr9+7dy7QZ3kIIkaXC90JiDDh4pVqYOBV7d8jnCyi4fvRVRCdyCJMTu4ULFzJ79mw+//xzzM3N6dSpE3PmzGH48OEcPHgwK2LM1fz9/VMlRjl1hlKvXr24cuUK27dvZ9u2bVy9evWlF4J+WTqdjvPnz+Pn5wfAgQMH6NKlC82aNWPt2rUcO3aMr7/+moSEhGe2Ex4eTosWLShfvjzLly/n6NGjhmceP+9YIYTICWJPJA9JifF9C574z266fJKXBgvbHSrr2L1GTE7sbt68Sbly5QCwt7cnKioKgBYtWrBu3brMjS4Lvap17FJmKGm1ydPTtVotP//8c46coVS0aFHq1q3L3LlzmTdvHo0aNaJw4cKp6j2dwB88eJBSpUqlWycpKYmjR4+mqpMR8+fPJzIyknbt2gGwf/9+ChcuzNdff03lypXx9/c3GhcIyY+i0+l0RmVHjx5Fr9czYcIEqlevTvHixblx44bJ8QghRHZYtO8cSX+vBKD30cLM2n0JvV4985j9V5KXQ7m4fxVFyryRI8d3i8xn8nIn3t7eREREUKhQIYoWLcrmzZt54403OHz4MFZWVlkRY5Z4lY8US3kw84ULFyhWrFiWJ3XPe0zb82Lt06cPgNEi0U9aunQplStXplatWixcuJA//vgj1S+M4OBg/P39KVWqFJMmTSIyMpJevXo989yxsbHcvHnTaLmTSZMm8dFHH1G/fn0guQf0ypUrLF68mCpVqrBu3TpWrlxp1I6vr6/hPXt7e+Pg4ECxYsVITEzkp59+omXLluzbt4+ZM2c+Mx4hhMgJIqLi2Ll2EV+pOf+W6Dm4/jQTNp+hsIsdhfLb4etiS2EXWwq72FHYxRYVc5+BK85zsAHULKAo3Hcmn/00i8DAwBzZsSAyj0Yp9eyU/ylDhgzB0dGRr776itDQUN577z18fX25cuUKn332GWPHjs2qWLNESmIXFRWFo6Oj0b7Hjx8TFhaGn58f1tbW2RSh6Xbu3GlIhJ6UMobuWeLi4vDy8kKr1XLjxo1UybpGoyE4OJhVq1axe/duvLy8GDduHO3btweSb3n6+fmxaNEiJk+ezPHjxylWrBjTpk1LM6YU9erVY9euXUByj5uLiwsBAQH06tWLNm3aGNUdPHgwc+fOJT4+nubNm1O9enVGjhzJgwcPAIiPj6dLly5s27aNBw8eMG/ePHr06MGkSZMYP348Dx48oE6dOnTp0oVu3boRGRmJs7Nzqphy6/dfCJG37L9wl7j579BQe4zpSa34Ianjc4/RAHql57B1P9w1D+iU8DX7k0oyqYE9bZs0yPqgRaZ6Vq7ytAwndtOmTeO9995L9QfwwIEDHDhwAH9/f1q2bPnCQWeXvJjYZSWNRsPKlSvTXag6JbE7duxYrn/6g3z/hRA5wYJV6+hyrAtmGkX9+AmEKS+UXseMd4pj7+zC5XsxXL4XS/i9WK7cT/46Psl40t5A7RIm6toztXVRWlUvmU3vRLwoUxK7DN+K/frrrxk8eDBt2rShd+/eNGiQnPHXqFEj1SzJ3CA4OJjg4OBUY7GEEEKInCL08BXijyzAzFyxU1fekNTd3zQN22ZfUadqScDN6Bi9XnHyehRvB++lpdl+ploG84++MJN071KlVOpx0yJvyfDkiZs3bzJz5kxu3LjBW2+9hZ+fH99++y1Xr17NyviyTF5+VqwQQojcLyIqjjHLD/C/pK74Pl7EL0lNUXodNxd8Ttw/29NdXcHMTEN5H2fGtivPAVUWgDJml/lfIw+8nGxe5VsQ2SDDiZ2NjQ3dunVjx44dnD9/nq5du/LLL7/g5+dHkyZNWLp0KYmJiVkZq8gBlFLPfF6wr68vSqlcfxtWCCGyW9jdGHqbryfcujMbLIewV5VDY6bF3NouQ6srdKhSiN+HtOGcWVEAPG9sYceOHbL0SR73Qo8UK1KkCKNHjyYsLIwNGzbg4uJCjx49KFiwYGbHJ4QQQryWTl0Io6c2+RFik5PaoTDDDNizYUWajxFLi5eTDQ8KNwZA/bU0Rz/aUmSOl3pWrEajwdzcHI1Gg1JKeuyEEEKITBARFYd2z3jsNY85qfdlk74yAF82K8kbJYuY1JZ18YYA1LG7jEfpqmjs8tG3b1/pucujXiixu3r1KqNHj6ZIkSK89dZb3Lhxg9mzZxMREZHZ8QkhhBCvnaOHdtNNuxmAsUmdSF7ABMoXdDa5rXuPzTmX5IGlRkeHtxtQ8MN52JRpkOMebSkyR4YTu4SEBBYvXkzjxo3x8/Nj9uzZdO7cmXPnzrF9+3a6dOkiS0IIIYQQLyn0j3Dc9w5Dq1Gs01Vlrz75aU9Kr8MqMcrk9py8CrNRVQegufYQGjMz8gf2w9Hz2QvWi9wpw8udeHp6EhMTQ8uWLVmzZg2BgYGpnoGam8hyJ0IIIXKaE1cjObVqAl/qRwDgwT0AwxIn0c2+AhNvxT62cGSN/k0+YTX1zY7jQhT3zJxYuWWfybd1Rc6X4cxsyJAhXL9+nWXLltG0adNcndSBLHcihBAiZwk9fIXB0xfzlcUiwq0701m7jVu4AHBn9Q/PXOLkWfxc7biINyf0RbDQ6Git3YdSip/+b5WMs8uDMpydjR49mnr16vHVV19x6NChrIxJZJF69eoxYMCA7A5DCCHEUyKi4vh++QGmW0zBSpPEVl0lFumSHwSg9Dp0t85naImTtHg52fCOvwVLk+oA8I52FxoNONXtzpgp8szsvCbDid3du3cZM2YMt2/f5u2338bLy4s+ffqwZs0aHj9+nJUxChP16NEDjUaTavvhhx/49ttvDfV8fX2ZPHly9gUqhBACgGkbjjHVYhpFzSK4rlz4MvEDQIMG6FXehosnj2Z4iZO01CpdiN/1NYlXFpQyu0pZTRgaMy2Lj0ZIr10ek+HEztrampYtWzJnzhwiIiJYvnw5Li4ufPnll7i6utK6dWvmzp3LnTt3sjJekUFNmjQhIiLCaAsICMDBwSG7QxNCCPGEE1fuU+LkROpq/yJWWdEn4XPu4YTS6xhW3ZoR7731Qj11T6pSqjDRys6wbEo37RYA7Cu/zR8nz730exA5xwsNlNNoNNSsWZOxY8dy6tQpjh07Ru3atQkJCcHb25vg4ODMjjNnUAoSYrJnU8qkUK2srPD09DTaGjZsaLgVW69ePS5fvsxnn31m6NETQgjxav286wIHZvWnm/kW9ErDwMSPOKV8AXh0ZDWNK5fIlPN4OdnQ6Q03QpICAXhbux8XopKfZOFcIFPOIXKGDM+KfRZ/f38+//xzPv/8c+7du8f9+/czo9mcJzEWvs+mH4CvboClXaY1t2LFCipUqMAHH3xAnz59Mq1dIYQQzxcRFce49afw/2cyQeZrAfg6qRcb9VWB5HF137Sv9dI9dU/6pEl5ah67zXF9ESqaXaKzdhs/6doQkWCRaecQ2c/kxC4+Pp5Dhw5x+fJlYmNjcXNzo1KlSvj5+QHg4uKCi4tLpgcqTLN27Vrs7e0Nr5s2bWq0P3/+/Gi1WhwcHPD09HzV4QkhxGvr590XGb/+JN+b/0J7810AjErsym+65CdEaFAMaVSYDxu3ytTzejnZMKRpaeZuaspUy2C6mm9lpq4V49afoVWFAng52WTq+UT2yHBit2/fPqZMmcKaNWtITEzEyckJGxsb7t+/T3x8PEWKFKFPnz589NFHeXccl4Vtcs9Zdp3bBPXr12fGjBmG13Z2dnTq1CmzoxJCCGGCn3ddZOaGP5hrEUwd7d/olIavkt4nVFcfAKXXM7ymLb0aV8iS85fzduJHfTVuqkV4aiJpq91DqK4+8/aG81XzUllyTvFqZWiMXatWrejQoQO+vr5s3ryZhw8fcu/ePa5du0ZsbCznz5/nm2++Yfv27RQvXpwtW7ZkddwvLTg4mNKlS1OlSpWMH6TRJN8OzY7NxDFwdnZ2FCtWzLB5eXmZ+AkJIYTITBFRcWzcuIZlliPpljgU38eL6JXwxX9JnVJE7Z6faePq0uLnakcS5sxOagZAP+0qzElizt5LRETFZdl5xauTocSuefPmhIWF8cMPP1C7dm1sbIy7a4sUKUL37t3ZuHEj27ZtyxWLF8sCxWBpaSlP3hBCiFcg4n40F5cOZ4nlaIqa3WSb5eeU0Fxhl6oIJCd10QeXMKFP00wdV/c0Lycb+tT2Y6GuEXeUIz5md2ij3YteQfjd2Cw7r3h1MpSB9e3bFwuLjA2uLF26NA0bNnypoMSr4evry+7du7l+/Tp3797N7nCEECJP2rhlI5GTa1Hr2iwsNDrW6qrxdsK3nFX/Pau1Q0lL/l74/UutVZdRPWv5kaCxYlZSC+C/Xru/rj/I8nOLrGfy5ImrV6+i0WgM/6P4448/WLRoEaVLl+aDDz7I9ABF1hk9ejR9+/alaNGixMfHo0xcUkUIIUTaIqLiuHYlHPv942h8YxVmZor7yp6Rid35XV+TlMWHO1X1oX9D/1c6ccHLyYYvm5Rk8obH9DVfS2Gz27TX7uKHDRYyiSIPMDmx69y5Mx988AFdu3bl5s2bvPXWW5QpU4aFCxdy8+ZNhg8fnhVxChOEhISkWb5z506j19WrV+fEiRNZH5AQQrxGVuz9mysbJ9JHuw47TTxo4HddDUYlduMeTgAMa16KZuW9si2JKuftRBzWTEtqzUiLX/nMfCm/x9cg/G6sJHa5nMmD4U6ePEnVqsnr7CxZsoSyZcuyf/9+Fi5cmG5CIYQQQuRVEVFx7L94l+tXwzgZ8imNtzRigPkK7DTxHNcXpW38SD5J7G9I6rQaTbYmdZA8icJMAwt1jbik98RNE01f87Xci4mXSRS5nMk9domJiVhZWQGwdetWWrVKXmenZMmSREREZG50QgghRA4W+sdlVqxaRiftVgLM/qCgJgk0cEpfmGlJb7NBXxWFGWYa0KvkpO77tmWzvVfMy8mGMW3L8dWKk4xN6sQsy0n00a6j/qKG3MSFIU1L0rdu0WyNUbwYkxO7MmXKMHPmTJo3b86WLVsMD5W/ceOGLEwshBAiz4uIiuN6+HnMT6+i4qlQOlheM+w7qvdnetLbbNNXApKXqdJqNKz4uAaxCXp8XW2zPalL0aFKIeoUd+NoWAV2Ld9K98Shhn1jNpwBDfStI8ldbmNyYjdu3DjatGnD+PHj6d69OxUqJC+i+Pvvvxtu0QohhBB5QURUHGF3Y/BztSN/0m32/D4P57B1VDY7l1zBDGKVFat1NVmoa8hJVYQPahdh594wdEoZeugq+OTL3jeSDi8nG/I7WDE6qQsXrN7DXKOnV8IgtuvfYNwGeSJFbmRyYlevXj3u3r1LdHQ0+fL9d6F+8MEH2Nqa9nSE3EJmi76e9Hp9docghHiFnkzivJxs+G3/BX5fu4J6ZsdxMTuBl9k1aiorSifMA2Ce+Ti2qMqs0dXgIcl//7QaDT1r+dKzli/hd2NzVA9devxc7TirCjE9qSUTdR0AsOYxj5U1R8MjaVEhZ8cvjGlUHsha2rRpw86dO2nYsCHLli0z6djo6GicnJyIiorC0dHRaJ9Op+P8+fPY2tri5uaGxsSnP4jcSSlFQkICd+7cQafT4e/vnysW3RZCZMzTCRxA6OErfLviMBU156lidpY61hfwSQijcsLPAJyy6okVCRxT/qzTVWOdrjq3Se7ceHr8XIcqhdI9d071866LTN5wnC1Wg/HW3GVmUgvGJnXGTANj2pbLle8pL3lWrvI0kxO7W7duMWjQILZt28bt27dT9WZlx5MMdu7cycOHD5k/f36mJnYAjx494tq1a9Jr9xqytbXFy8sLS0vL7A5FCPEC0kvghq74Gyv1mNJmV/ioRCwFH58n6foxSmmuYK4x7qm/oxzZra/ATl0FduvLE62x58k/Bzl1/NyL+Hn3RQ5tXMRcyx/RKQ3vJIzkmPJHq9Gwd0j9XP3ecjtTEjuTb8X26NGDK1euMGzYMLy8vHJEL1a9evVSrdGWWezt7fH39ycxMTFL2hc5k1arxdzcPEdc30KIZ3tWAmerYilqdpPepZIomHQdu0t/s9niCkU0EZhpFIQltxGrsaJY/P8BMMZ8Fn+rohzRl+C8KoD6d2UwrUbDkKYl+GHD2Vwxfs5UfesUpaBzbxYvOcyQpL6A3JLNjUxO7Pbu3cuePXuoWLFipgSwe/duxo8fz9GjR4mIiGDlypW0bt3aqE5wcDDjx4/n5s2bVKhQgZ9++umVTtTQarVotdpXdj4hhHidpJWYZXT/0kMXmbZqFwU0dymgucdbBeJx1d2h0J1LHLC8gYfmQXLFi8n/xJpZUTo+eYzcLssBXFJe3LQtzt6HXnhxjwhcGJr0AVqNhsFpJHEdqhSiVYUCuWb8nKkCCuejie499lv1o4DmPguSGjEsqRefLD5GTEKS3JLNBUxO7Hx8fDL1tmRMTAwVKlSgV69etG3bNtX+0NBQBg4cyMyZM6lWrRqTJ08mMDCQs2fP4u7ubvL54uPjiY+PN7yOjo5+qfiFEOJ187xEzJS6KT1resV/47kq+8DjKB4/uMnGQ3+x5fDfuBCFqyaa8vkScNNEYf34Lk6Jt2mnj+Rdqyf+Jt35998n/i9+RzlxSXlxz7oQf8a4Uc/sOP/ofambMBmtBvZ+3ACzc3fYuOIkZCCJ83KyyXMJXQovJxu+aludL1Z+yELL7+lqvpWt+gB26Svw1YqT1Cnulmffe15h8hi7zZs3M2HCBH7++Wd8fX0zNxiNJlWPXbVq1ahSpQrTpk0Dkmcq+vj40L9/f4YMGWKot3PnTqZNm/bcMXYjR45k1KhRqcozct9aiKxiyh/KnOjPM5c4ePIS1csW4Y2SRbI7HJO96s8/s8/3KuNPMxF7uhcnKQF9/CNW/XGOGVv+wkY9xl7zmPblHCmbT5EU9wDiIkl4dJ9LV2/gSAxOmhgcicVJE4Oz5hGWJAHJS4mk9LCdsuqJrSaepz1WFlxXrlxXrtxQLljkL8T+u7ZcVAW4pLyIxs4wTmz3uTt8teJkql64lM8xr/bEmWrtXze4s2QAPc03cUc50jx+DLfJx7ROlWhRoUB2h/faydLJE/ny5SM2NpakpCRsbW2xsLAw2n///n3TI04J5qnELiEhAVtbW5YtW2aU7HXv3p0HDx6wevVqQ1lGE7u0eux8fHwksRPZ5rc/rvD1yv/+UH77dlnereyT3WFl2ICpi1l30wGNmRlKr6e550Mmf9Ixu8PKsKVHrjJs9clX9vln9vmS2/sbM6XDQqPny8bFeKukCwmJiSQlxJOYmEhSUmLyv4kJJCUmokuKR5fwGH1iPPrEOFRSPCoxHpUUD0mPQZcAung0SfFodAmY6eLR6OJBF0/0oxgsScSGBOw0j7EhHkezeGxI/tpGPcZCk/FJdM9K3B4qG+4qR+7ixF313+bjUxh3r0LE23oyZPsD7ikHnlwMWBK4lxcRFUeDsRtZbjGC0maXOaQvSeeEr9GjladSZIMsTezmz5//zP3du3c3pTnjYJ5K7G7cuEHBggXZv38/NWrUMNQbPHgwu3bt4tChQwA0atSIEydOEBMTQ/78+Vm6dKlR/Wcx5cMSIrNFRMXx8dhZVDI7D4CGJ38c//v6ySkcGqPyjNRJqzyT2takXQeTYzTtfaTV/su1nfy1GXrMUGhQRv+aoUejAc2/+w1lPF2m4In9KW1onthv9u+sS7MnjtP825ZxmcIcHVp0mKNHq0n+15yk5Ncp5ehSzeTMShnpQUsRr8yJxZpYrIhTVkRjS7y5IwkWjiRaOBCndeDEXQ3R2BKl7IjGjofYMejtavgW9iVRY0Xg5N3on5qF+uQMzdDDVySByyKhh68wc8Vmfrf8BgdNHDOTWjI2qRMAQfWL8kVgyWyO8PWRpbNiXyZxyypbt241+Zjg4GCCg4OzZXkWIVKE3Y2hltlffG5h2jI9QmREEmb/pobJm16TvOk05iRpLEnSWKIzS970Wkv0ZpbotVbozSxBa4Uyt0JpLcHcGo25JY+VORtOR9JVu5nHWPJFYl/iNFb0C6xIvnzOmFvZo7Wyx9zGgXsJ5jQPPpg6KfvceNmM2DQSs3pP3NpNeZ7pk/ufPD7lsVhpJXB5eSzcq9ChSiHsrJoxePEVZlhO4UPzNRzRF2erPoDgHRdxtLGQR47lQCYndpC8Vt2qVas4ffo0kPz82FatWmX6zFFXV1e0Wi23bt0yKr916xaenp4v1XZQUBBBQUGGLFiI7ODnasev+LBKV/OJUg0NSrpjbanl6T6m/758mfLMaCP567sPHrL13APDPgWgFG+VyI+r83//q1SmxPVSsZn2Ph7F61j8xxUUoP+3Xw2gSw0/7K0tQWP276b59zgzozJltN8s+TyaJ+qgMar3IE7Hd+tPo1P/9dMpjYZRrcqRz97qifb+PdZMC2YWKDPzf782/3fToswsuBOjo9OcwyQqLUmYkYQ5SmPG9sGN8HK2x1yjebFf8s9w4elErE1Z3khjpqQ7z0/K4NmJWUb2gyRwWSmgcD7666vxc2Jzxui6GO0bu/4M1f3y55nlXvIKk3/mL1y4QLNmzbh+/TolSpQAYMyYMfj4+LBu3TqKFs287N3S0pKAgAC2bdtmuD2r1+vZtm0b/fr1e6m2pcdO5AReTjbUb92Lz1dUNfrj55hLlhQoAPwxcRFrbtqjMdOi9Dpaej6ie7fO2R1ahlgBrl6pe4xcs+jztwXqWKZOjAq+4PkcgIFtbVInT/kcMjXuJ2Uk0TK17vMSM0ncso+Xkw1Dmpbkxw0dWGI5iqpmZwnXe9A6YTQPcKD19P2MlSdT5Cgmj7Fr1qwZSikWLlxI/vz5Abh37x7vvfceZmZmrFu3zqQAHj16xIULFwCoVKkSEydOpH79+uTPn59ChQoRGhpK9+7d+fnnn6latSqTJ09myZIlnDlzBg8PD5POlRYZYydygtw+FujPM5c49E8Y1cr45dpZsa/y88/s8+X260fkfOM3neG3HcdYbTkMF020YZwlpB73KDJflk6esLOz4+DBg5QrV86o/MSJE7z55ps8evTIpGB37txJ/fr1U5V3796dkJAQAKZNm2ZYoLhixYpMnTqVatWqmXSe9EhiJ4QQQjzfz7svsmLDFpZbjsBe85iFSQ35OqkXoOG3PtWpUdQlu0PMs7J08oSVlRUPHz5MVf7o0aMXeqZmvXr1nrvgcb9+/V761uvT5FasEEIIkXF96xSlul9+Pp15h9nmE+hivo2ryo2Zulbci4knIipOeu1yAJN77Lp168aff/7JL7/8Ynis16FDh+jTpw8BAQGGXrbcQnrshBBCiIwLPXyFc6t/YJj5AgA+T/iQ5fo66S9YLV5alt6KffDgAd27d2fNmjWGxYmTkpJo1aoVISEhuW6GqSR2QgghhGkiouKIXfsVXucWyni7VyDLbsUqpYiOjmbx4sVcv37dsNxJqVKlKFas2ItHLIQQQohcw8vJhv3VhnL8zDnCrTsTq6zokvAVx5Q/4XdjJbHLRiYndsWKFeOff/7B398/VydzMsZOCCGEeHF+bg70SPoAV6Kpq/2LeZY/0CnhGyy0GXvyk8gaZiZVNjPD39+fe/fuZVU8r0xQUBCnTp3i8OHD2R2KEEIIket4OdnwbdtK9Ev6jD/1xXDWxPB/lt8zZfEabkY9zu7wXlsmJXYAY8eO5YsvvuDkyZNZEY8QQgghcokOVQqxeUhTkjotI9a1HC6ah0yIG86Xs1Zw71H6zxEWWcfkyRP58uUjNjaWpKQkLC0tsbExvo9+//79TA0wq8nkCSGEECITxN4nYW5zLO+eIkLl5xvnH5j0UWscrS2yO7JcL0vXsZs8efKLxpWjyBg7IYQQIhPZ5sey5xoS5jTFK/Icox4MYehsDeP7tsbWMrOfWizSY3KPXV4jPXZCCCFEJnp4i/g5TbGKusgt5cxYt3G0btyA4h4OMlv2BZmSq5g8xm79+vVs2rQpVfnmzZvZsGGDqc0JIYQQIi9x8MCqz0binEvgoXnA13e+YOy8Zbw5djuhh69kd3R5nsmJ3ZAhQ9K8fanX6xkyZEimBCWEEEKIXMzenaiOKzis86dy/ExOq8KUVhcZuuJvIqLisju6PM3kxO78+fOULl06VXnJkiW5cOFCpgQlhBBCiNztUow1vRMHs9xyBOHWnfnN6nsCOMO6ExHZHVqeZnJi5+TkxKVLl1KVX7hwATs7u0wJ6lUIDg6mdOnSVKlSJbtDEUIIIfIcP1c7Hmns6JowlAO60jho4lhgOYY/Nv7KjJ0Xec2H+GcZkxO7t99+mwEDBnDx4kVD2YULF/j8889p1apVpgaXlWSBYiGEECLreDnZMKZtOeI1NvRM/IKtujew1iQyw2IyV7YE88GCo0Q/TiQiKo79F+/KLdpMYvKs2KioKJo0acKRI0fw9vYG4Nq1a9SuXZsVK1bg7OycFXFmGZkVK4QQQmSdiKg4wu/G4pvfEs/dQ9EcWwDApMR2/J9VR+7HJaIUmGlgTNtydKhSKJsjznlMyVVeaLkTpRRbtmzhxIkT2NjYUL58eerUqfPCAWcnSeyEEEKIV0Qp2PEd7B4PwLzEQEbpuht2azUa9g6pL8uiPCXLE7u8RBI7IYQQ4hX7YzZq/RfEKUtKx88z2vVbn+rUKOqSTYHlTJn+5ImpU6fywQcfYG1tzdSpU59Z95NPPsl4pEIIIYR4/VTtwwMzZ2zXfES4dWf+1vvSO+EL7pCPgvmsszu6XC1DPXZ+fn4cOXIEFxcX/Pz80m9Mo0lzxmxO9OQjxc6dOyc9dkIIIcQrtm3TairuD8JF85AIlZ/eCYPIVzSA6V0CcLKRZ8ymkFuxJpBbsUIIIUT2uX35DPbLO2MbfZFYZUX/xH5cca3L2HbliE/S4+dq99qPuZPEzgSS2AkhhBDZLO4BLO0Ol3aiR8N3iV34RdcU0MhsWbI4sVNKsWzZMnbs2MHt27fR6/VG+1esWGF6xNlIEjshhBAiB9AlwvpBcDSEWGVlNKlCq4G9Qxq8tj13puQqJi9QPGDAALp27UpYWBj29vY4OTkZbUIIIYQQJtNaQIvJhAV8hV5pDMUuRKFT8Mel+9kYXO6RoVmxT1qwYAErVqygWbNmWRGPEEIIIV5XGg3WdT7h04OJ/GXVG0dNHDdUfvomDOTLFWZEP06kQUl3Lt+PlbF36TA5sXNycqJIkSJZEYsQQgghXnNeTjY0bt2Ntis9+dn8R4qaRbDcahRfJrzPsNV6hq3+BwANMLbd6z32Li0m34odOXIko0aNIi5OnukmhBBCiMzXoUohFnzZhXudNvC4SGMsSWSS5QwGa38z1FHA0BV/yzNmn2JyYte+fXsiIyNxd3enXLlyvPHGG0abEEIIIcTL8nKyoWopP6zfC4U6gwHoYb7ZqI5ewbq/IrIjvBzL5Fux3bt35+jRo7z33nt4eHig0Wief1AO9OQCxUIIIYTIoczMoMHXRDqWIOn3AYbislziJEX437rTnLgWxdfNSuHpJE+tMHm5Ezs7OzZt2kStWrWyKqZXSpY7EUIIIXKHjdu3UXLnx/ia3SRembPQuS//u10TvdJgZ6nlk4b+9HzTD0tzk29I5mhZutyJj4+PJEBCCCGEeOWaNGiIdb/d3PNpjJUmiV5RwfxZeik1va2ISdAxZsMZmk7Zzb4LdwGIiIpj/8W7r9U4PJN77NatW8dPP/3EzJkz8fX1zaKwXh3psRNCCCFyGaXgwDTYMgKUDuVWkk2lx/H13kTuxSQAUKaAI//ciAZy/wzaLH3yRL58+YiNjSUpKQlbW1ssLIwf0nv/fu5aQFASOyGEECKXurwflvaERzfBwo7YppP54VoZ5u8P5+nkRqvRsHdI/Vy59p0puYrJkycmT578onEJIYQQQmSewjWh725Y3hvC92D7ex9GVu1Lybc/YMjqs0ZVdUpx8fajXJnYmcLkHru8RnrshBBCiFxOlwQ7voO9EwFI8KhIw8vduYqHUbXC+W0Y2qwUgWU8c9WqHpk+eSImJsakAEytL4QQQgjxwrTm0GgEdFoM1s5Y3jrOGrtvjarYWmq5fD+OD//vT9pM38/BS/eAvDfBIkM9dl5eXnz66ad0794dLy+vNOsopdi6dSsTJ06kTp06DB06NNODzQrSYyeEEELkIQ+uJt+avXoIgFvFOqJv8j129o7M3n2JOXvCiEtMXsPW392O87eTO6Ny8gSLTJ88cfbsWb766ivWrVtHhQoVqFy5MgUKFMDa2prIyEhOnTrFgQMHMDc3Z+jQofTt2xetVptpbygrSWInhBBC5DG6JNj5PeyZCChwKwXvhoB7SW4/fMxP2y6w6NBldE9lQDl1gkWWzYq9cuUKS5cuZc+ePVy+fJm4uDhcXV2pVKkSgYGBNG3aNNckdCkksRNCCCHyqIs7YMUHEHMbzG2g2Q9QqStoNKz88xqfLTmR6pDf+lSnRlGXbAg2fVm63ElOtHbtWj7//HP0ej1ffvkl77//foaPlcROCCGEyMMe3YaVfeHi9uTXZd+BFpOIiLeg5pjtqZZFGda8FL1rF3nlYT7La5XYJSUlUbp0aXbs2IGTkxMBAQHs378fF5eMZduS2AkhhBB5nF4P+6fAtm9B6SCfH7wzlwVX8jNs9T+pqnetXphhLUrnmEeTZekjxXKaP/74gzJlylCwYEHs7e1p2rQpmzdvzu6whBBCCJFTmJlBrc+g10ZwKgSRYfDLW3TVreTAl3X5rU919n1Zn08b+gOw4OBlOsw6QNidGHyHrMN3yDpiE5Ky+U1kTLYndrt376Zly5YUKFAAjUbDqlWrUtUJDg7G19cXa2trqlWrxh9//GHYd+PGDQoWLGh4XbBgQa5fv/4qQhdCCCFEbuJTFT7cDaXfBn0SbB2J16oO1HCNo2A+Wz57qzhze1TG0dqcY1ce8M7MfYZDb0Y9zsbAMy7bE7uYmBgqVKhAcHBwmvtDQ0MZOHAgI0aM4M8//6RChQoEBgZy+/btFzpffHw80dHRRpsQQgghXhM2+eDd+fB2MFjYweW9MKMmnFwBQIOSHqzpX4uSng7ci0k0HNZwwi5CD1/JrqgzLNsTu6ZNm/K///2PNm3apLl/4sSJ9OnTh549e1K6dGlmzpyJra0tc+fOBaBAgQJGPXTXr1+nQIEC6Z5vzJgxODk5GTYfH5/MfUNCCCGEyNk0Gqj0Hny4BwoGwOMoWNYTVn4E8Q8p7GLHjC4BRocoYOiKv3P8QsYZelbsX3/9leEGy5cv/8LBPC0hIYGjR48aLXZsZmZGo0aNOHDgAABVq1bl5MmTXL9+HScnJzZs2MCwYcPSbXPo0KEMHDjQ8Do6OlqSOyGEEOJ15FIUem2CXeNgzwQ4sQiu7Ie2s4lISD0zVq9g97k7OXIR4xQZSuwqVqyIRqMhvQm0Kfs0Gg06nS7Tgrt79y46nQ4PD+NnvXl4eHDmzBkAzM3NmTBhAvXr10ev1zN48OBnzoi1srLCysqK4OBggoODMzVeIYQQQuQyWgto8A0UbZi85l1kOMxtQrnqAzGnPEkYr887bNVJzDQa3q3sQ2xCEqWHbwLg1OhAbC0zlFZlqQxFEBYWltVxvJRWrVrRqlUrk44JCgoiKCjIMIVYCCGEEK+xwjXgo72w7nP4eykOB8azw6MKtW99BiQ/cszfw55ztx7xxbK/OBIeyZdNSxgOvxn1mCJu9tkU/H8ylNgVLlw4q+NIk6urK1qtllu3bhmV37p1C09Pz2yJSQghhBB5lLUTtJsD/o1h3ee4PPhvKNq2gXXwdbUneMcFJm49R+iRq+w8999EzoYTduWIZ82+0OSJs2fP0q9fPxo2bEjDhg3p168fZ8+ezezYsLS0JCAggG3bthnK9Ho927Zto0aNGi/VdnBwMKVLl6ZKlSovG6YQQggh8pLy7eHDPdgWqkS4dWfCrTtTZMdHmMXdp39Dfxb0qoazjQW3ouMNhyjgqxUns31yhcmJ3fLlyylbtixHjx6lQoUKVKhQgT///JOyZcuyfPlykwN49OgRx48f5/jx40Dybd/jx49z5UrylOKBAwcye/Zs5s+fz+nTp/noo4+IiYmhZ8+eJp/rSUFBQZw6dYrDhw+/VDtCCCGEyIPy+UKPdcnj78zM4fQamF4dzm2ilr8r37Upm+oQnVKE34199bE+weRHihUtWpQuXbowevRoo/IRI0bwf//3f1y8eNGkAHbu3En9+vVTlXfv3p2QkBAApk2bxvjx47l58yYVK1Zk6tSpVKtWzaTzpEceKSaEEEKIZ7pxPPl5s3eSJ24S0IOb1YdRY8Iho2fNajUa9g6pj5eTTaaePkufFWtra8tff/1FsWLFjMrPnz9PhQoViI3N3kw1o56cFXvu3DlJ7IQQQgiRvsS45GfNHvz3gQr5/FhXfDRBu5JnzZoBY7JojF2WPiu2Xr167NmzJ1X53r17qV27tqnNZRu5FSuEEEKIDLOwgSbfQ7ffwdEbIsOof+gDw+6tn9fN9okTkMFZsU9q1aoVX375JUePHqV69eoAHDx4kKVLlzJq1Ch+//13o7pCCCGEEHlGkbrw0T7YMBhOrDIUe1rnjHVxTb4Va2aWsU6+zF6sOLPJrVghhBBCvIzY46sovdgCyNoFirN0jF1eI5MnhBBCCPHCHt4EC1uwzrocIkvH2KXlwYMHmdGMEEIIIUTu4uCZpUmdqUxO7MaNG0doaKjh9bvvvkv+/PkpWLAgJ06cyNTghBBCCCFExpmc2M2cORMfHx8AtmzZwtatW9m4cSNNmzbliy++yPQAs4o8eUIIIYQQeY3JY+xsbGw4d+4cPj4+fPrppzx+/Jiff/6Zc+fOUa1aNSIjI7Mq1iwhY+yEEEIIkZOZkquYPH0jX758XL16FR8fHzZu3Mj//vc/AJRSOXoWbHpS8tro6OhsjkQIIYQQIrWUHCUjfXEmJ3Zt27alc+fO+Pv7c+/ePZo2bQrAsWPHUj2NIjd4+PAhgOH2shBCCCFETvTw4UOcnJyeWcfkxG7SpEn4+vpy9epVfvjhB+zt7QGIiIjg448/frFIs1GBAgW4evUqDg4OVK1a1aQnUVSpUiXD9TNS93l1nrU/OjoaHx8frl69mmtvKZvyeebE871se6YeL9df5pLrT66/7CTXn1x/z6KU4uHDhxQoUOC5dU1O7CwsLBg0aFCq8s8++8zUpnIEMzMzvL29AdBqtSZ9U0ypn5G6z6uTkTYcHR1z7S82Uz//nHa+l21Prr/sJdefXH/ZSa4/uf6e53k9dSkylNj9/vvvNG3aFAsLC6NHhqUlNz9GLCgoKMvqZ6Tu8+qYGl9u86rfX2af72Xbk+sve8n1J9dfdpLrT66/zJKhWbFmZmbcvHkTd3f3Zz5SLKc/Riwvk9m9IjvJ9Seyk1x/IjvltOsvQz12er0+za9FzmFlZcWIESOwsrLK7lDEa0iuP5Gd5PoT2SmnXX+v/bNihRBCCCHyCpMmT+j1ekJCQlixYgXh4eFoNBr8/Px455136Nq1KxqNJqviFEIIIYQQz5HhHjulFC1btmT9+vVUqFCBkiVLopTi9OnT/P3337Rq1YpVq1ZlcbhCCCGEECI9Ge6xCwkJYffu3Wzbto369esb7du+fTutW7fm119/pVu3bpkepBBCCCGEeL4M99g1btyYBg0aMGTIkDT3f//99+zatYtNmzZlaoBCCCGEECJj0l+75Cl//fUXTZo0SXd/06ZNOXHiRKYEJYQQQgghTJfhxO7+/ft4eHiku9/Dw4PIyMhMCUpkrrVr11KiRAn8/f2ZM2dOdocjXjNt2rQhX758vPPOO9kdinjNXL16lXr16lG6dGnKly/P0qVLszsk8Rp58OABlStXpmLFipQtW5bZs2e/kvNm+FasVqvl5s2buLm5pbn/1q1bFChQQBYozmGSkpIoXbo0O3bswMnJiYCAAPbv34+Li0t2hyZeEzt37uThw4fMnz+fZcuWZXc44jUSERHBrVu3qFixIjdv3iQgIIBz585hZ2eX3aGJ14BOpyM+Ph5bW1tiYmIoW7YsR44cyfK/vxmePKGUokePHukuwBcfH59pQYnM88cff1CmTBkKFiwIJN8y37x5M506dcrmyMTrol69euzcuTO7wxCvIS8vL7y8vADw9PTE1dWV+/fvS2InXgmtVoutrS2QnCMppXgVSwdn+FZs9+7dcXd3x8nJKc3N3d1dZsRmgd27d9OyZUsKFCiARqNJc0mZ4OBgfH19sba2plq1avzxxx+GfTdu3DAkdQAFCxbk+vXrryJ0kQe87PUnxMvIzOvv6NGj6HQ6fHx8sjhqkVdkxvX34MEDKlSogLe3N1988QWurq5ZHneGe+zmzZuXlXGIdMTExFChQgV69epF27ZtU+0PDQ1l4MCBzJw5k2rVqjF58mQCAwM5e/Ys7u7u2RCxyEvk+hPZKbOuv/v379OtW7dXNsZJ5A2Zcf05Oztz4sQJbt26Rdu2bXnnnXeeOV8hUyiRawBq5cqVRmVVq1ZVQUFBhtc6nU4VKFBAjRkzRiml1L59+1Tr1q0N+z/99FO1cOHCVxKvyFte5PpLsWPHDtWuXbtXEabIo170+nv8+LGqXbu2+vXXX19VqCIPepnffyk++ugjtXTp0qwMUymlVIZvxYqcJyEhgaNHj9KoUSNDmZmZGY0aNeLAgQMAVK1alZMnT3L9+nUePXrEhg0bCAwMzK6QRR6SketPiKySketP/Ts2vEGDBnTt2jW7QhV5UEauv1u3bvHw4UMAoqKi2L17NyVKlMjy2Ex6VqzIWe7evYtOp0vVrevh4cGZM2cAMDc3Z8KECdSvXx+9Xs/gwYNlRqzIFBm5/gAaNWrEiRMniImJwdvbm6VLl1KjRo1XHa7IYzJy/e3bt4/Q0FDKly9vGB+1YMECypUr96rDFXlMRq6/y5cv88EHHxgmTfTv3/+VXHuS2L0GWrVqRatWrbI7DPGa2rp1a3aHIF5TtWrVQq/XZ3cY4jVVtWpVjh8//srPK7diczFXV1e0Wi23bt0yKr916xaenp7ZFJV4Xcj1J7KTXH8iO+Xk608Su1zM0tKSgIAAtm3bZijT6/Vs27ZNbnWJLCfXn8hOcv2J7JSTrz+5FZvDPXr0iAsXLhheh4WFcfz4cfLnz0+hQoUYOHAg3bt3p3LlylStWpXJkycTExNDz549szFqkVfI9Seyk1x/Ijvl2usvy+fdipeyY8cOBaTaunfvbqjz008/qUKFCilLS0tVtWpVdfDgwewLWOQpcv2J7CTXn8hOufX6y/CzYoUQQgghRM4mY+yEEEIIIfIISeyEEEIIIfIISeyEEEIIIfIISeyEEEIIIfIISeyEEEIIIfIISeyEEEIIIfIISeyEEEIIIfIISeyEEEIIIfIISeyEECKXSkhIoFixYuzfvz9T2924cSMVK1ZEr9dnartCiKwniZ0QIkfo0aMHGo0m1fbksxqFsZkzZ+Ln50fNmjUNZRqNhlWrVqWq26NHD1q3bp2hdps0aYKFhQULFy7MpEiFEK+KJHZCiByjSZMmREREGG1+fn6p6iUkJGRDdDmLUopp06bRu3fvLGm/R48eTJ06NUvaFkJkHUnshBA5hpWVFZ6enkabVqulXr169OvXjwEDBuDq6kpgYCAAJ0+epGnTptjb2+Ph4UHXrl25e/euob2YmBi6deuGvb09Xl5eTJgwgXr16jFgwABDnbR6uJydnQkJCTG8vnr1Ku3bt8fZ2Zn8+fPz9ttvEx4ebtif0hv2448/4uXlhYuLC0FBQSQmJhrqxMfH8+WXX+Lj44OVlRXFihXjl19+QSlFsWLF+PHHH41iOH78+DN7LI8ePcrFixdp3ry5iZ8yhIeHp9k7Wq9ePUOdli1bcuTIES5evGhy+0KI7COJnRAiV5g/fz6Wlpbs27ePmTNn8uDBAxo0aEClSpU4cuQIGzdu5NatW7Rv395wzBdffMGuXbtYvXo1mzdvZufOnfz5558mnTcxMZHAwEAcHBzYs2cP+/btw97eniZNmhj1HO7YsYOLFy+yY8cO5s+fT0hIiFFy2K1bN3777TemTp3K6dOn+fnnn7G3t0ej0dCrVy/mzZtndN558+ZRp04dihUrlmZce/bsoXjx4jg4OJj0fgB8fHyMekWPHTuGi4sLderUMdQpVKgQHh4e7Nmzx+T2hRDZSAkhRA7QvXt3pdVqlZ2dnWF75513lFJK1a1bV1WqVMmo/rfffqsaN25sVHb16lUFqLNnz6qHDx8qS0tLtWTJEsP+e/fuKRsbG/Xpp58aygC1cuVKo3acnJzUvHnzlFJKLViwQJUoUULp9XrD/vj4eGVjY6M2bdpkiL1w4cIqKSnJUOfdd99VHTp0UEopdfbsWQWoLVu2pPner1+/rrRarTp06JBSSqmEhATl6uqqQkJC0v28Pv30U9WgQYNU5YCytrY2+hzt7OyUubm5evvtt1PVj4uLU9WqVVMtWrRQOp3OaF+lSpXUyJEj041BCJHzmGdvWimEEP+pX78+M2bMMLy2s7MzfB0QEGBU98SJE+zYsQN7e/tU7Vy8eJG4uDgSEhKoVq2aoTx//vyUKFHCpJhOnDjBhQsXUvWMPX782Og2ZZkyZdBqtYbXXl5e/P3330DybVWtVkvdunXTPEeBAgVo3rw5c+fOpWrVqqxZs4b4+HjefffddOOKi4vD2to6zX2TJk2iUaNGRmVffvklOp0uVd1evXrx8OFDtmzZgpmZ8U0cGxsbYmNj041BCJHzSGInhMgx7Ozs0r31+GSSB/Do0SNatmzJuHHjUtX18vLK8GxajUaDUsqo7MmxcY8ePSIgICDNGaJubm6Gry0sLFK1m7JciI2NzXPjeP/99+natSuTJk1i3rx5dOjQAVtb23Tru7q6GhLHp3l6eqb6HB0cHHjw4IFR2f/+9z82bdrEH3/8keYt3fv37xu9RyFEzieJnRAiV3rjjTdYvnw5vr6+mJun/lVWtGhRLCwsOHToEIUKFQIgMjKSc+fOGfWcubm5ERERYXh9/vx5o16qN954g9DQUNzd3XF0dHyhWMuVK4der2fXrl2petJSNGvWDDs7O2bMmMHGjRvZvXv3M9usVKkSM2bMQCmFRqMxOably5czevRoNmzYQNGiRVPtT+mRrFSpksltCyGyj0yeEELkSkFBQdy/f59OnTpx+PBhLl68yKZNm+jZsyc6nQ57e3t69+7NF198wfbt2zl58iQ9evRIdbuxQYMGTJs2jWPHjnHkyBE+/PBDo963Ll264Orqyttvv82ePXsICwtj586dfPLJJ1y7di1Dsfr6+tK9e3d69erFqlWrDG0sWbLEUEer1dKjRw+GDh2Kv78/NWrUeGab9evX59GjR/zzzz8mfGrJTp48Sbdu3fjyyy8pU6YMN2/e5ObNm9y/f99Q5+DBg1hZWT03DiFEziKJnRAiVypQoAD79u1Dp9PRuHFjypUrx4ABA3B2djYkb+PHj6d27dq0bNmSRo0aUatWrVRj9SZMmICPjw+1a9emc+fODBo0yOgWqK2tLbt376ZQoUK0bduWUqVK0bt3bx4/fmxSD96MGTN45513+PjjjylZsiR9+vQhJibGqE7v3r1JSEigZ8+ez23PxcWFNm3avNAiwkeOHCE2Npb//e9/eHl5Gba2bdsa6vz222906dLlmbeDhRA5j0Y9PbhECCHysHr16lGxYkUmT56c3aGksmfPHho2bMjVq1fx8PB4bv2//vqLt956i4sXL6Y5ieRF3b17lxIlSnDkyJE0F4gWQuRc0mMnhBDZLD4+nmvXrjFy5EjefffdDCV1AOXLl2fcuHGEhYVlajzh4eFMnz5dkjohciGZPCGEENnst99+o3fv3lSsWJFff/3VpGN79OiR6fFUrlyZypUrZ3q7QoisJ7dihRBCCCHyCLkVK4QQQgiRR0hiJ4QQQgiRR0hiJ4QQQgiRR0hiJ4QQQgiRR0hiJ4QQQgiRR0hiJ4QQQgiRR0hiJ4QQQgiRR0hiJ4QQQgiRR0hiJ4QQQgiRR0hiJ4QQQgiRR0hiJ4QQQgiRR0hiJ4QQQgiRR0hiJ4QQQgiRR0hiJ4QQQgiRR0hiJ0QutXPnTjQaDTt37szuUIwsWLCAkiVLYmFhgbOz80u3N3LkSDQaDXfv3n354IQQIo+TxE6IHCYkJASNRmPYrK2tKV68OP369ePWrVuZco7169czcuTITGnrSWfOnKFHjx4ULVqU2bNnM2vWrHTrpiRsKZutrS2lS5fmm2++ITo6OtNjy+uevm6e3IYMGZLd4QkhXhHz7A5ACJG20aNH4+fnx+PHj9m7dy8zZsxg/fr1nDx5Eltb25dqe/369QQHB2d6crdz5070ej1TpkyhWLFiGTpmxowZ2Nvb8+jRIzZv3sx3333H9u3b2bdvHxqNJlPjex2kXDdPKlu2bDZFI4R41SSxEyKHatq0KZUrVwbg/fffx8XFhYkTJ7J69Wo6deqUzdGl7fbt2wAm3YJ95513cHV1BeDDDz+kXbt2rFixgoMHD1KjRo2sCDNPe/K6eZ7Hjx9jaWmJmZncvBEir5CfZiFyiQYNGgAQFhb2zHpLly4lICAAGxsbXF1dee+997h+/bphf48ePQgODgYwul33PNOnT6dMmTJYWVlRoEABgoKCePDggWG/r68vI0aMAMDNzQ2NRvNCPYLpvc8HDx7Qo0cPnJ2dcXJyomfPnsTGxhrVmTdvHg0aNMDd3R0rKytKly7NjBkzUp3jyJEjBAYG4urqio2NDX5+fvTq1cuojl6vZ/LkyZQpUwZra2s8PDzo27cvkZGRz4z/xx9/RKPRcPny5VT7hg4diqWlpaGN8+fP065dOzw9PbG2tsbb25uOHTsSFRX1/A/KRCljMhcvXsw333xDwYIFsbW1Ndz2PnToEE2aNMHJyQlbW1vq1q3Lvn37UrWzd+9eqlSpgrW1NUWLFuXnn3823FZPER4ejkajISQkJNXxaV0X169fp1evXnh4eGBlZUWZMmWYO3dumvEvWbKE7777Dm9vb6ytrWnYsCEXLlxIdZ5Dhw7RrFkz8uXLh52dHeXLl2fKlClA8nWi0Wg4duxYquO+//57tFqt0c+MELmJ9NgJkUtcvHgRABcXl3TrhISE0LNnT6pUqcKYMWO4desWU6ZMYd++fRw7dgxnZ2f69u3LjRs32LJlCwsWLMjQuUeOHMmoUaNo1KgRH330EWfPnmXGjBkcPnyYffv2YWFhweTJk/n1119ZuXKl4fZq+fLlM+19tm/fHj8/P8aMGcOff/7JnDlzcHd3Z9y4cYY6M2bMoEyZMrRq1Qpzc3PWrFnDxx9/jF6vJygoCEjuVWzcuDFubm4MGTIEZ2dnwsPDWbFihdH5+vbta/g8P/nkE8LCwpg2bRrHjh0zvOe0tG/fnsGDB7NkyRK++OILo31LliyhcePG5MuXj4SEBAIDA4mPj6d///54enpy/fp11q5dy4MHD3BycjL5swOIiopKNdEkpUcU4Ntvv8XS0pJBgwYRHx+PpaUl27dvp2nTpgQEBDBixAjMzMwMSfKePXuoWrUqAH///bfhsxs5ciRJSUmMGDECDw+PF4oV4NatW1SvXh2NRkO/fv1wc3Njw4YN9O7dm+joaAYMGGBUf+zYsZiZmTFo0CCioqL44Ycf6NKlC4cOHTLU2bJlCy1atMDLy4tPP/0UT09PTp8+zdq1a/n000955513CAoKYuHChVSqVMmo/YULF1KvXj0KFiz4wu9JiGylhBA5yrx58xSgtm7dqu7cuaOuXr2qFi9erFxcXJSNjY26du2aUkqpHTt2KEDt2LFDKaVUQkKCcnd3V2XLllVxcXGG9tauXasANXz4cENZUFCQyuiP/+3bt5WlpaVq3Lix0ul0hvJp06YpQM2dO9dQNmLECAWoO3fuPLfdlLpnz55Vd+7cUWFhYernn39WVlZWysPDQ8XExBjV69Wrl9Hxbdq0US4uLkZlsbGxqc4TGBioihQpYni9cuVKBajDhw+nG9uePXsUoBYuXGhUvnHjxjTLn1ajRg0VEBBgVPbHH38oQP36669KKaWOHTumALV06dJntpVRKddNWptS/10vRYoUMfqc9Hq98vf3V4GBgUqv1xvKY2NjlZ+fn3rrrbcMZa1bt1bW1tbq8uXLhrJTp04prVZrdD2FhYUpQM2bNy9VnIAaMWKE4XXv3r2Vl5eXunv3rlG9jh07KicnJ0OsKfGXKlVKxcfHG+pNmTJFAervv/9WSimVlJSk/Pz8VOHChVVkZKRRm0++v06dOqkCBQoYXdN//vlnunELkVvIrVghcqhGjRrh5uaGj48PHTt2xN7enpUrV6bbk3DkyBFu377Nxx9/jLW1taG8efPmlCxZknXr1r1QHFu3biUhIYEBAwYYjcXq06cPjo6OL9xuihIlSuDm5oafnx99+/alWLFirFu3LtUEkQ8//NDode3atbl3757RDFobGxvD1yk9V3Xr1uXSpUuG25sp4//Wrl1LYmJimjEtXboUJycn3nrrLe7evWvYAgICsLe3Z8eOHc98Tx06dODo0aOG3keA0NBQrKysePvttwEMPXKbNm1KdUv5ZQQHB7Nlyxaj7Undu3c3+pyOHz/O+fPn6dy5M/fu3TO815iYGBo2bMju3bvR6/XodDo2bdpE69atKVSokOH4UqVKERgY+EKxKqVYvnw5LVu2RCll9FkHBgYSFRXFn3/+aXRMz549sbS0NLyuXbs2AJcuXQLg2LFjhIWFMWDAgFRjPZ+8XdytWzdu3Lhh9L1cuHAhNjY2tGvX7oXejxA5gdyKFSKHCg4Opnjx4pibm+Ph4UGJEiWeOcg9ZUxXiRIlUu0rWbIke/fufaE40mvX0tKSIkWKpDmWzBTLly/H0dERCwsLvL29KVq0aJr1nkwmAPLlywdAZGQkjo6OAOzbt48RI0Zw4MCBVMlSVFQUTk5O1K1bl3bt2jFq1CgmTZpEvXr1aN26NZ07d8bKygpIHvsWFRWFu7t7mrGkTBJJz7vvvsvAgQMJDQ3lq6++QinF0qVLadq0qSFWPz8/Bg4cyMSJE1m4cCG1a9emVatWvPfeey98GxagatWqz5w88fSM2fPnzwPJCV96oqKiiI+PJy4uDn9//1T7S5Qowfr1602O9c6dOzx48IBZs2aluzTO05/1s64D+O9W/vNmAr/11lt4eXmxcOFCGjZsiF6v57fffuPtt9/GwcHB5PciRE4hiZ0QOdTz/kDnFXXq1DEaA5YerVabZrlSCkj+g96wYUNKlizJxIkT8fHxwdLSkvXr1zNp0iT0ej2Q3GuzbNkyDh48yJo1a9i0aRO9evViwoQJHDx4EHt7e/R6Pe7u7ixcuDDNc7q5uT0z1gIFClC7dm2WLFnCV199xcGDB7ly5YrReECACRMm0KNHD1avXs3mzZv55JNPGDNmDAcPHsTb2/u5n8mLeLK3DjB8LuPHj6dixYppHmNvb098fHyGz5HeZBydTpfmud977710E8unx2k+7zrIKK1WS+fOnZk9ezbTp09n37593Lhxg/fee8+kdoTIaSSxEyKPKFy4MABnz541zCxNcfbsWcN+SP8P7/PaLVKkiKE8ISGBsLAwGjVq9DJhZ5o1a9YQHx/P77//btSrk95t0+rVq1O9enW+++47Fi1aRJcuXVi8eDHvv/8+RYsWZevWrbz55pupEqGM6tChAx9//DFnz54lNDQUW1tbWrZsmapeuXLlKFeuHN988w379+/nzTffZObMmfzvf/97ofOaKqWH1NHR8ZnfSzc3N2xsbAw9fE86e/as0euUXrQnZ00DqXp33dzccHBwQKfTZdp1lPJ+Tp48+dw2u3XrxoQJE1izZg0bNmzAzc3thW8rC5FTyBg7IfKIypUr4+7uzsyZM416VzZs2MDp06dp3ry5oczOzg5I/Yc3LY0aNcLS0pKpU6ca9Yr88ssvREVFGbWbnVJ6cp6MMSoqinnz5hnVi4yMTNW7k9JTlfK5tW/fHp1Ox7fffpvqPElJSRn63Nq1a4dWq+W3335j6dKltGjRwvC5A0RHR5OUlGR0TLly5TAzMzP6/l25coUzZ84893wvKiAggKJFi/Ljjz/y6NGjVPvv3LkDJH++gYGBrFq1iitXrhj2nz59mk2bNhkd4+joiKurK7t37zYqnz59utFrrVZLu3btWL58OSdPnkz33KZ444038PPzY/Lkyam+T09/38uXL0/58uWZM2cOy5cvp2PHjpibS3+HyN3kChYij7CwsGDcuHH07NmTunXr0qlTJ8NyJ76+vnz22WeGugEBAQB88sknBAYGotVq6dixY5rturm5MXToUEaNGkWTJk1o1aoVZ8+eZfr06VSpUiXH3Lpq3LgxlpaWtGzZkr59+/Lo0SNmz56Nu7s7ERERhnrz589n+vTptGnThqJFi/Lw4UNmz56No6MjzZo1A6Bu3br07duXMWPGcPz4cRo3boyFhQXnz59n6dKlTJkyhXfeeeeZ8bi7u1O/fn0mTpzIw4cP6dChg9H+7du3069fP959912KFy9OUlISCxYsMCQ7Kbp168auXbtMvtWYUWZmZsyZM4emTZtSpkwZevbsScGCBbl+/To7duzA0dGRNWvWADBq1Cg2btxI7dq1+fjjj0lKSuKnn36iTJky/PXXX0btvv/++4wdO5b333+fypUrs3v3bs6dO5fq/GPHjmXHjh1Uq1aNPn36ULp0ae7fv8+ff/7J1q1buX//vsnvZ8aMGbRs2ZKKFSvSs2dPvLy8OHPmDP/880+qJLRbt24MGjQIIMdcy0K8lOyajiuESFvKshXPWo5DqdTLnaQIDQ1VlSpVUlZWVip//vyqS5cuhiVSUiQlJan+/fsrNzc3pdFoMrT0ybRp01TJkiWVhYWF8vDwUB999FGq5SReZLmT59VNr17K5xQWFmYo+/3331X58uWVtbW18vX1VePGjVNz5841qvfnn3+qTp06qUKFCikrKyvl7u6uWrRooY4cOZLq3LNmzVIBAQHKxsZGOTg4qHLlyqnBgwerGzduPPf9KaXU7NmzFaAcHByMlqBRSqlLly6pXr16qaJFiypra2uVP39+Vb9+fbV161ajenXr1s3Q9+d5103K9ZLe8irHjh1Tbdu2VS4uLsrKykoVLlxYtW/fXm3bts2o3q5du1RAQICytLRURYoUUTNnzjR8j54UGxurevfurZycnJSDg4Nq3769un37dqrlTpRS6tatWyooKEj5+PgoCwsL5enpqRo2bKhmzZr13PjTW1pl79696q233lIODg7Kzs5OlS9fXv3000+p3ndERITSarWqePHiaX4uQuQ2GqWy6L+BQgghXgspC1jnxj8nd+/excvLi+HDhzNs2LDsDkeIlyZj7IQQQry2QkJC0Ol0dO3aNbtDESJTyBg7IYQQr53t27dz6tQpvvvuO1q3bo2vr292hyREppDETgghxGtn9OjRhuVlfvrpp+wOR4hMI2PshBBCCCHyCBljJ4QQQgiRR0hiJ4QQQgiRR7z2Y+z0ej03btzAwcHBpMcsCSGEEEK8CkopHj58SIECBTAze3afXJ5I7IKDgxk/fjw3b96kQoUK/PTTT1StWjVDx964cQMfH58sjlAIIYQQ4uVcvXoVb2/vZ9bJ9YldaGgoAwcOZObMmVSrVo3JkycTGBjI2bNncXd3f+7xDg4OQPKH5ejomNXhCiGEEEKYJDo6Gh8fH0PO8iy5flZstWrVqFKlCtOmTQOSb636+PjQv39/hgwZ8tzjo6OjcXJyIioqShI7IYQQQuQ4puQquXryREJCAkePHqVRo0aGMjMzMxo1asSBAwfSPCY+Pp7o6GijTQghhBAiL8jVid3du3fR6XR4eHgYlXt4eHDz5s00jxkzZgxOTk6GTcbXCSGEECKvyNWJ3YsYOnQoUVFRhu3q1avZHZIQIg+JiIpj/8W7RETFZXcoOZJ8PkJkrVw9ecLV1RWtVsutW7eMym/duoWnp2eax1hZWWFlZWXSefR6PQkJCS8cp8h9LCws0Gq12R2GyGVCD1/h55WbsVSJoIF2lXyoUsQVpQHQoDBDAWg0KKVBaf59jQaFBr1Gk/y1AjRm6NHAv2X6J+olt6NBQXIb6t820aD+bRvDPs2/+5IpBerfVykjrP/b99+Q6//2/Vc3rfqGI9Kq/1Rbh8PvserYDRSgATpVLUSd4m5YmZthmbJpjb9+ep+59uX6IyKi4gi7G4Ofqx1eTjYv1ZYQOVGuTuwsLS0JCAhg27ZttG7dGkhOwrZt20a/fv0y5RwJCQmEhYWh1+szpT2Rezg7O+Pp6SnrG4oMiYiKY8jyv1F4AXDKsie2/8TDP9kc2L/06t9EMCWJ5N8kEtD/m3AqQ+L4X119qrLkujrM0GOGTpn99/UT/6b6WpnhrixZyWAApplPxuKYDt0xM2Iw4+GTx6i020rCjCTM0ZtZ/LtZgpkFSmuBMrNM/ldriUZrCVpLNObJm9m/X4dFJrLqevKsQntiaV+jBG0rF8bD0RoXO0vMzORnXeR+uTqxAxg4cCDdu3encuXKVK1alcmTJxMTE0PPnj1fum2lFBEREWi1Wnx8fJ67KKDIG5RSxMbGcvv2bQC8vLyyOSKRG4TdjeHJJQbuKQfisESrwdC/ltL3lpJSpbeBUf9epjDTGPrPMq1NILnrLYNilRUkJX9dX3sCW038y51b/++WlPHzr2IeAH9YBWF7LJ74Py2IxYqbWBGvsSbJ3Aa9uS1Y2KKsnTCzyYe5gwvWDq7YObtjn88NrZ0L2LuDgxdoLQDpCRQ5R65P7Dp06MCdO3cYPnw4N2/epGLFimzcuDHVhIoXkZSURGxsLAUKFMDW1jYTohW5hY1N8i/m27dv4+7uLrdlxXP5udphpgH9v3lT7YSpaDUa9g6p/3J/6FPugSo9kHI/9N/Xz/ya1MdlqI0MHqfXPfGv7ql/U5dHxjxm9Oq/aGu2G61Gz6ikblig54vAYjhZadNoR294rdclodMnoUtKQp+UYNhUyqZL/hddAugSQZeARpeARp+IRp+AmT4RlZTAw4TUSa2VJhErEsnHo+SCpH+3x8DDZ39r9Gh4aO7CXa0rZ2MduaS8CFU+NG1QnyZ164C55Yt/34V4Qbl+HbuX9ay1YR4/fkxYWBi+vr6GP/Ti9REXF0d4eDh+fn5YW1tndzgiFwg9fIWvVpxEpxRajYbv25alQ5VC2R1WjpGdn09EVBxvjt3+b+KtsCIRB0086z9+g/wWSURFR/Mg6gHR0VE8ehhN7KMoEmMeoGLvo30ciXlCFLa6KJx4RD7NI9x4gJUmuaswVllROj65J/CUVU9sNfHJt4QLVobCNaFYI/CpBnLXR7wgU9axy/U9dq+CjLF6Pcn3XZiqQ5XkyQDhd2PxdbWVW3JPyc7Px8vJhjFty/2bWEKSxoov2gbg7pOcWLp4gstz2tDpFfcexXP7YTznomOJuhvBlUvn+OvMWUOdP/XFKG92CUddHFzZn7zt+REcC0L59lDtQ3BIe3KfEJlBeuwy0GMnPTavJ/n+C5H3RETFZWpiadwTmELhp7lJTfOzdPW8TIno/Wji/72vq7WCqn2g/ldgaffS5xevh9fmyRNCCCGEKbycbKhR1CXTegtTegK1//bwazUaPnurOJ5+ZVmYWI8mV7vTUDOH4zWmonyqgS4eDkyD6TXg5slMiUGIJ0lilweNGTOGKlWq4ODggLu7O61bt+bs2bPp1u/fvz+lSpVKc9+VK1fQarX8/vvvWRUuAL6+vmg0GjQaDTY2Nvj6+tK+fXu2b99ucls9evQwLH8jhBBZrUOVQuwdUp/f+lRn75D6fNqwOIv6VGNa50p4OVlz6YGO1jtc6cG3RLRYQJJDQXhwGf0vjeHq4ewOX+Qxkti9Iq9ytfVdu3YRFBTEwYMH2bJlC4mJiTRu3JiYmJg06/fu3ZszZ86wf//+VPtCQkJwd3enWbNmWR02o0ePJiIigrNnz/Lrr7/i7OxMo0aN+O6777L83EII8TKe7gnUaDS0KF+ArQPr8nG9olhoNew6f5day7UE3BnBAV1pzBJjiP+1HURezuboRV4iiZ0JlFLEJiSZvC04EM6bY7fTefYh3hy7nQUHwk1uw5ShkBs3bqRHjx6UKVOGChUqEBISwpUrVzh69Gia9StWrMgbb7zB3LlzU73fkJAQunfvjrm5OeHh4Wg0GhYvXkzNmjWxtrambNmy7Nq1y3DMzp070Wg0rFu3jvLly2NtbU316tU5efL5txwcHBzw9PSkUKFC1KlTh1mzZjFs2DCGDx9u6HHU6XT07t0bPz8/bGxsKFGiBFOmTDG0MXLkSObPn8/q1asNPYA7d+4E4Msvv6R48eLY2tpSpEgRhg0bRmJiYoY/VyGEMJWdlTmDm5Rk04A6VC+SH52CKOzplPgNB3UlsEqMIn553+TlXYTIBDIr1gRxiTpKD9/0Um3oFQxb/Q/DVpu2HP2p0YHYWr7YtysqKgqA/Pnzp1und+/eDBkyhClTpmBnlzygd+fOnYSFhdGrVy+jul988QWTJ0+mdOnSTJw4kZYtWxIWFoaLi4tRnSlTpuDp6clXX31Fy5YtOXfuHBYWFibF/umnn/Ltt9+yevVqBg8ejF6vx9vbm6VLl+Li4sL+/fv54IMP8PLyon379gwaNIjTp08THR3NvHnzjN63g4MDISEhFChQgL///ps+ffrg4ODA4MGDTYpJCCFMVcTNnk8a+HPw0iFD2aDED9lkNgS7awfg5LLkWbNCvCTpscvj9Ho9AwYM4M0336Rs2bLp1uvcuTOJiYksXbrUUDZv3jxq1apF8eLFjer269ePdu3aUapUKWbMmIGTkxO//PKLUZ0RI0bw1ltvUa5cOebPn8+tW7dYuXKlyfHnz58fd3d3wsPDgeRnuI4aNYrKlSvj5+dHly5d6NmzJ0uWLAHA3t4eGxsbrKys8PT0xNPTE0vL5EVCv/nmG2rWrImvry8tW7Zk0KBBhuOEECKr+bklL2Kd4hoezNC9nfxi1zjptROZQnrsTGBjoeXU6ECTjrkZ9ZhGE3cZTYU308DWgXXxdMr4Eho2Fi/25IOgoCBOnjzJ3r17n1nP2dmZtm3bMnfuXHr06EF0dDTLly8nODg4Vd0aNWoYvjY3N6dy5cqcPn063Tr58+enRIkSqepklFLKaE254OBg5s6dy5UrV4iLiyMhIYGKFSs+t53Q0FCmTp3KxYsXefToEUlJSc+dNi6EEJnlv7X0/kb379+EuEp94NxGuHcBwnZB0frZG6TI9aTHzgQajQZbS3OTtiJu9qmmwo9pW44ibvYmtfMii+X269ePtWvXsmPHDry9vZ9bv3fv3uzZs4cLFy4QGhqKVqvl3XffNfm8menevXvcuXMHPz8/ABYvXsygQYPo3bs3mzdv5vjx4/Ts2ZOEhIRntnPgwAG6dOlCs2bNWLt2LceOHePrr79+7nFCCJGZkmfQNqB5ueRFim8nWPx3C/av0GyMTOQV0mP3Crzq1daVUvTv35+VK1eyc+dOQ1L0PPXr18fPz4958+axY8cOOnbsaBhv96SDBw9Sp04dIPl5ukePHqVfv36p6hQqlLyie2RkJOfOnUt3SZVnmTJlCmZmZoblS/bt20fNmjX5+OOPDXUuXrxodIylpSU6nc6obP/+/RQuXJivv/7aUHb5ssxEE0K8el5ONvSpU5R1f99k2+lbxHd9G6vDc+DcJtAlgVb+NIsXl+lXT3x8PFZWVpndbK7n5WTzyh6fExQUxKJFi1i9ejUODg7cvHkTACcnp2c+81aj0dCrVy8mTpxIZGQkkyZNSrNecHAw/v7+lCpVikmTJhEZGZlqgsXo0aNxcXHBw8ODr7/+GldX1+euLffw4UNu3rxJYmIiYWFh/N///R9z5sxhzJgxFCtWDAB/f39+/fVXNm3ahJ+fHwsWLODw4cNGyauvry+bNm3i7NmzuLi44OTkhL+/P1euXGHx4sVUqVKF/2/v3sNjvvI/gL+/M5lb7vcbE0IodUmCxrIuoZRetNUKvSFY25+1W7TrkepdlbarS8tWq0+LdrWrW2pXL1QrSlWVNiJhoxVBiiTSyG2SzCQz5/fHJMM0RGbyTSYzeb+e5/uYOXPmnE/4Pnycy/d8+umnTq35IyKSQ3znAHQO0uGXS9XYXRWLW3VBQHUJcP5HQJ/k6vDInYkW+uyzz8S0adNEbGys8PLyEgqFQvj5+YkRI0aIpUuXinPnzrW0i1ZVVlYmAIiysrJGn1VXV4vjx4+L6upqF0TmPABXvdavX3/d7+bn5wuFQiH69OnT6LO8vDwBQLz//vsiKSlJqNVqceONN4rdu3fb6qSnpwsAYvv27aJPnz5CrVaLpKQkkZmZ2WS/Xbp0scWpVqtFTEyMmDx5sl3bQghRU1MjUlNTRUBAgAgMDBRz5swRaWlpIj4+3lanqKhIjB07Vvj6+goAIj09XQghxMKFC0VISIjw9fUVU6ZMEStXrhQBAQHXjMld//yJyD0s++y46LLoEzHnn4eFeP8+IZ7xF2L/aleHRe1QU7nKbzl9VuzHH3+MRYsWoaKiArfddhuSkpIQHR0NnU6HkpISZGdnY9++fThw4ABSU1Px/PPPIywsTIZUVF48K7b5Tp8+jdjYWGRkZFxzs8KePXswatQoXLp0CYGBgW0an9z4509ErSn7XBnuWP0NNF4SPh34A+IyVwC97wSmvOfq0KidceSsWKenYl9++WWsXLkSt956KxSKxnswJk+2LgY9d+4cVq9ejX/+859YsGCBs90RERF5lD7R/gj2UaPEYMIT3+uwWQMYTh9G45XNRM3ndGJ34MCBZtXr1KkTXnzxRWe7ISIi8kgF5TUoMVh35h8UvVElNPCpPo8Lxb8iKjTkOt8murpWedyJ2WzGkSNHcOnSpdZonlyka9euEEI0+cy45ORkCCHcfhqWiKi15RXbn999SVjH6oryjrsiHPIQsiR28+fPt508YDabMXLkSAwYMAB6vd52TicRERFdFhtqfxLFOVjXocdY8l0UEXkCWRK7jz76CPHx8QCA7du3Iy8vDzk5OViwYIHdc8OIiIjIKipAh6V3Xz7q8bSIAgAEVTOxI+fJktgVFxcjMtL6FO3PPvsMKSkp6NmzJ2bOnImsrCw5uiAiIvI4DwzugiBvFQBgcHw/a2HFeRdGRO5OlsQuIiICx48fh9lsxo4dOzB27FgAQFVVFZRK5844JSIi6ggaHl5frYuwFpRfcGE05O5kSexmzJiByZMno2/fvpAkCWPGjAEAHDx4EL169ZKjCyIiIo8U4W89rakIQdYCjthRC8hypNizzz6Lvn37Ij8/HykpKbYjxZRKJdLS0uTogoiIyCNF+FsfgP5LXX1ixxE7agHZzoqdNGlSo7Lp06fL1TzJIDk5GQkJCVi1apWrQyEionrh9Yldnqn+RIGqYqDOBHipXRgVuSvZEruvvvoKX331FYqKimCxWOw+e+edd+TqhpohNTUVGzdubFR+8OBB9O7d2/a+a9eumD9/PubPn9+G0RER0ZUapmLzDFpAqQbMJsBQBAR0dnFk5I5kSeyee+45LFmyBIMGDUJUVBQkSbr+l6hVjR8/HuvXr7crCwsL42YWIqJ2JsLPOmJXVGkEtIHWpK76EhM7coosid0bb7yBDRs2YOrUqXI0134JAdRWuaZvlTfgQMKs0Whsj6BpcOVUbHJyMs6cOYMFCxbYzvAVQsgaMhERXV/DGrvC8hrAP7A+sSt1aUzkvmRJ7EwmE4YOHSpHU+1bbRWwLNo1fS8+D6jlOxp669atiI+Pxx//+EfMnj1btnaJiMgxDVOxFyuMEOFBkADriB2RE2R53Mkf/vAHvP/++3I0RTL55JNP4Ovra7tSUlLsPg8ODoZSqYSfnx8iIyMbje4REVHbCPHVQCEBFgGYVH7WwppSl8ZE7kuWEbuamhqsW7cOX375Jfr37w+VSmX3+d///nc5unE9lbd15MxVfTtg1KhRWLt2re29j48P7r//frmjIiKiFlIqJIT5aVBYbkSV0g8agFOx5DRZErujR48iISEBAJCdnW33WWtupHjhhRfw6aef4siRI1Cr1SgtLW21vgBY17jJOB3amnx8fBAXF+fqMIiIqBki/LUoLDeiAr7WxxRzKpacJEtil56eLkczDjOZTEhJScGQIUPw9ttvuyQGd6ZWq2E2m10dBhFRhxfupwVQhlJ4IwbgVCw5TZY1dq7y3HPPYcGCBejXr5+rQ3FLXbt2xd69e3Hu3DkUFxe7Ohwiog6rYQPFr+b6WSFOxZKTZHtA8eHDh/Hhhx/i7NmzMJlMdp9t3bpVrm5azGg0wmg02t6Xl5e7MBrXWrJkCR5++GF0794dRqORjzshInKRhkeeXKzVWQs4FUtOkiWx+9e//oVp06Zh3Lhx+OKLL3DLLbfgp59+QmFhISZOnChHF7JZvnw5nnvuOVeH0ao2bNhw1fI9e/bYvf/d736HzMzM1g+IiIia1DBiV2is/2fZZHBhNOTOZJmKXbZsGVauXInt27dDrVbj1VdfRU5ODiZPnoyYmBiH2kpLS4MkSU1eOTk5Tsf6+OOPo6yszHbl5+c73RYREZEcwutPnyiorj8dyFUPwye3J8uIXW5uLm6//XYA1gX5BoMBkiRhwYIFGD16tEMjZI899hhSU1ObrNOtWzenY9VoNNBoNE5/n4iISG7h9SN2F6rrx1s4YkdOkiWxCwoKQkVFBQCgU6dOyM7ORr9+/VBaWoqqKsf+1xEWFoawsDA5wiIiInILDWvsLlQpAQ2Y2JHTZEnsRowYgV27dqFfv35ISUnBvHnzsHv3buzatQs333yzHF1c1dmzZ1FSUoKzZ8/CbDbjyJEjAIC4uDj4+vq2Wr9ERERyCvZWw0shoUrUzyhxKpacJEtit2bNGtTU1AAAnnjiCahUKnz77be499578eSTT8rRxVU9/fTT2Lhxo+19YmIiAOtz9ZKTk2Xrh7tFOyb+uRNRW1EoJIT7aVBVZh25g8kACGF9MD6RA2RJ7IKDg22vFQoF0tLS5Gj2ujZs2HDNHaByUCqti1hNJhN0Ol2r9UPtU8Mygt8ekUdE1BrC/bX4uaxhDbgAaqsBtWPHSRI5ndiVl5fD39/f9ropDfXcjZeXF7y9vXHx4kWoVCooFG79PGdqJiEEqqqqUFRUhMDAQFuCT0TUmiL8NTiKKzb31VYxsSOHOZ3YBQUF4cKFCwgPD0dgYOBVz4QVQkCSJLc9tkqSJERFRSEvLw9nzpxxdTjUxgIDAxEZGenqMIiog4jw18ICBWoVGqgsRut0rE+oq8MiN+N0Yrd7927bFKyrzoptC2q1Gj169Gh0mgZ5NpVKxZE6ImpTDTtjjZIWKhi5M5ac4nRiN3LkyKu+9kQKhQJardbVYRARkQcL97NOw1ZDC1+UcWcsOcXpxO7o0aPNrtu/f39nuyEiIuoQGkbsDEKDMIAjduQUpxO7hIQESJJkW0fXFHddY0dERNRWGhK7CovaWsDEjpzg9DbPvLw8nDp1Cnl5ediyZQtiY2Px+uuvIyMjAxkZGXj99dfRvXt3bNmyRc54iYiIPFJE/bFiFeb6xI5TseQEp0fsunTpYnudkpKC1157DbfddputrH///tDr9Xjqqadw9913tyhIIiIiTxegU0HtpUAVePoEOU+WB7NlZWUhNja2UXlsbCyOHz8uRxdEREQeTZIkRPhrUGNL7KpdGxC5JVkSu969e2P58uV2jwQxmUxYvnw5evfuLUcXREREHi/CT4saNEzFMrEjx8lypNgbb7yBCRMmoHPnzrYdsEePHoUkSdi+fbscXRAREXm8CH8tqs8xsSPnyZLYJSUl4dSpU9i0aRNycnIAAFOmTMEDDzwAHx8fObogIiLyeOH+GlRzjR21gCyJHQD4+Pjgj3/8o1zNERERdTgR/lpUcyqWWkC2xA4Ajh8/jrNnzzY6fuvOO++UsxsiIiKPFOGvwU+CmyfIebIkdqdOncLEiRORlZVle2gxANuDi/mAYiIiouuL8NPiKFTWN3VM7MhxsuyKnTdvHmJjY1FUVARvb28cO3YMe/fuxaBBg7Bnzx45uiAiIvJ44f7aK9bYMbEjx8kyYnfgwAHs3r0boaGhUCgUUCgUGDZsGJYvX45HHnkEGRkZcnRDRETk0SL8NagW1jV2ZqMBShfHQ+5HlhE7s9kMPz8/AEBoaCjOnz8PwHo6xYkTJ+TogoiIyOP5arxg8dIBAGpreFYsOU6WEbu+ffsiMzMTsbGxGDx4MF5++WWo1WqsW7cO3bp1k6MLIiIijydJEnTevkANYDZxKpYcJ0ti9+STT8JgsP7PYsmSJbjjjjswfPhwhISEYPPmzXJ0QURE1CF41yd2FhOfY0eOkyWxGzdunO11XFwccnJyUFJSgqCgINvOWCIiIro+Hz8/oASQuHmCnNDiNXa1tbXw8vJCdna2XXlwcDCTOiIiIgf5+/kDABRmJnbkuBYndiqVCjExMXxWHRERkQwC/AMAAEqz0cWRkDuSZVfsE088gcWLF6OkpESO5oiIiDqsoADriJ1G1AD1D/wnai5Z1titWbMGJ0+eRHR0NLp06QIfHx+7z3/88Uc5uiEiIvJ4wYEBl9/U1QAqneuCIbcjS2J39913y9EMERFRhxcWFGh7LUxVkJjYkQNkSeyeeeYZOZohIiLq8MIDfWAUXtBIdTAYKuHrE+LqkMiNOL3GTnDen4iISHbeai8YJet5sb+Wlro2GHI7Tid2ffr0wb/+9S+YTKYm6/3888+YM2cOXnzxRWe7IiIi6lBMkvW82EulZS6OhNyN01Oxq1evxqJFi/CnP/0JY8eOxaBBgxAdHQ2tVotLly7h+PHj+Oabb3Ds2DH8+c9/xpw5c+SMm4iIyGPVKbSAGSirYGJHjnE6sbv55ptx+PBhfPPNN9i8eTM2bdqEM2fOoLq6GqGhoUhMTMS0adPw4IMPIigoSM6YAQCnT5/G888/j927d6OgoADR0dF46KGH8MQTT0CtVsveHxERUVuxeOkAM1BeXuHqUMjNtHjzxLBhwzBs2DA5YnFITk4OLBYL3nzzTcTFxSE7OxuzZ8+GwWDAihUr2jweIiIiuQgvHWAEKiuZ2JFjZNkV6wrjx4/H+PHjbe+7deuGEydOYO3atUzsiIjIrSnUOsAAVBmY2JFj3Daxu5qysjIEBwc3WcdoNMJovHxMS3l5eWuHRURE5BCl2vqg/5qqShdHQu5GliPF2oOTJ09i9erVePjhh5ust3z5cgQEBNguvV7fRhESERE1j5fWGwBQU21wcSTkbtpdYpeWlgZJkpq8cnJy7L5z7tw5jB8/HikpKZg9e3aT7T/++OMoKyuzXfn5+a354xARETlMo/MFANTWGPjcWHJIu5uKfeyxx5CamtpknW7dutlenz9/HqNGjcLQoUOxbt2667av0Wig0WhaGiYREVGr0XhbEzu1xYiy6loEevNpD9Q8siV2ubm5WL9+PXJzc/Hqq68iPDwcn3/+OWJiYtCnT59mtxMWFoawsLBm1T137hxGjRqFgQMHYv369VAo2t0AJBERkcO81NapWJ1kRGG5kYkdNZssmdDXX3+Nfv364eDBg9i6dSsqK62LPTMzM1vtHNlz584hOTkZMTExWLFiBS5evIiCggIUFBS0Sn9ERERtRqUDAGhhQmF5jYuDIXciy4hdWloali5dikcffRR+fn628tGjR2PNmjVydNHIrl27cPLkSZw8eRKdO3e2+4zrEYiIyK0xsSMnyTJil5WVhYkTJzYqDw8PR3FxsRxdNJKamgohxFUvIiIit6a6PBVbVGG8TmWiy2RJ7AIDA3HhwoVG5RkZGejUqZMcXRAREXUcKi0AQMcRO3KQLIndfffdh0WLFqGgoACSJMFisWD//v3461//imnTpsnRBRERUcfRMGIHIxM7cogsid2yZcvQq1cv6PV6VFZW4sYbb8SIESMwdOhQPPnkk3J0QURE1HHUr7HTSLUoLOdULDWfLJsn1Go13nrrLTz99NPIyspCZWUlEhMT0aNHDzmaJyIi6liuGLEr4ogdOUDWBxTr9Xro9XqYzWZkZWXh0qVLCAoKkrMLIiIiz1c/YqeDCUUVRlgsAgqF5OKgyB3IMhU7f/58vP322wAAs9mMkSNHYsCAAdDr9dizZ48cXRAREXUcDYmdZESdRaCkyuTigMhdyJLYffTRR4iPjwcAbN++HadOnUJOTg4WLFiAJ554Qo4uiIiIOg6NPwAgQKoCAG6goGaTJbErLi5GZGQkAOCzzz7D5MmT0bNnT8ycORNZWVlydEFERNRxaAMBAH6oggIWFHEDBTWTLIldREQEjh8/DrPZjB07dmDs2LEAgKqqKiiVSjm6ICIi6jh0gbaXfqhCUQVH7Kh5ZNk8MWPGDEyePBlRUVGQJAljxowBABw8eBC9evWSowsiIqKOQ6kCVD5ArQEBkoGPPKFmkyWxe/bZZ9G3b1/k5+cjJSUFGo0GAKBUKpGWliZHF0RERB2LLtCa2MHANXbUbLI97mTSpEmNyqZPny5X80RERB2LNhAoP8cRO3KIbImdwWDA119/jbNnz8Jkst+W/cgjj8jVDRERUcdQv84uAAbkc40dNZMsiV1GRgZuu+02VFVVwWAwIDg4GMXFxfD29kZ4eDgTOyIiIkfV74wNkAw4zKlYaiZZdsUuWLAAEyZMwKVLl6DT6fDdd9/hzJkzGDhwIFasWCFHF0RERB2LznpyUyAqcbHCCLNFuDggcgeyJHZHjhzBY489BoVCAaVSCaPRCL1ej5dffhmLFy+WowsiIqKOxScUABAmlcEigF8ruc6Ork+WxE6lUkGhsDYVHh6Os2fPAgACAgKQn58vRxdEREQdi380AECvLgMAbqCgZpFljV1iYiIOHTqEHj16YOTIkXj66adRXFyM9957D3379pWjCyIioo7Fz3qiU7SiIbGrQT8EuDIicgOyjNgtW7YMUVFRAIAXXngBQUFBmDNnDi5evIh169bJ0QUREVHH4mf9dzUMlwAAhdwZS80gy4jdoEGDbK/Dw8OxY8cOOZolIiLquOpH7ALNvwIQnIqlZpFlxI6IiIhk5hsBAFAJE4JRgSI+8oSaQZbErrCwEFOnTkV0dDS8vLygVCrtLiIiInKQlwbw7wQA6CoV8FgxahZZpmJTU1Nx9uxZPPXUU4iKioIkSXI0S0RE1LGFxAHl59BNcQGHLhpwoawaUQE6V0dF7Zgsid0333yDffv2ISEhQY7miIiICABC4lB16jt8ZB4JlFRh6PLdePHefphyU4yrI6N2SpapWL1eDyH4RGwiIiI5lfl0sXsvACzemo0LZdWuCYjaPVkSu1WrViEtLQ2nT5+WozkiIiICkK+Ja1RmFgKni6tcEA25A6enYoOCguzW0hkMBnTv3h3e3t5QqVR2dUtKSpyPkIiIqIMK7TEY5h3269YVEtA11NtFEVF753Rit2rVKhnDICIiot+KDAtFaYAepysewJ9Nf8EnliG4Mz6aGyjompxO7KZPny5nHERERHQVgf3GA9/+jNmRP+GT80Ow7+di7Mkpwg1RfkzwqJEWrbGzWCx46aWX8Pvf/x433XQT0tLSUF3NBZ1ERESy6XkrAKB/9fcI1Snwq8GE1A2H8PsXd2PzobMuDo7amxYldi+88AIWL14MX19fdOrUCa+++irmzp0rV2zXdeeddyImJgZarRZRUVGYOnUqzp8/32b9ExERtTr9YEAXDKn6EvrX/GArtgjukKXGWpTYvfvuu3j99dexc+dObNu2Ddu3b8emTZtgsVjkiq9Jo0aNwocffogTJ05gy5YtyM3NxaRJk9qkbyIiojah9AIGTAUAPKT8wu4j7pCl35JECx5Ap9FocPLkSej1eluZVqvFyZMn0blzZ1kCdMR///tf3H333TAajY125jYwGo0wGi8fpFxeXg69Xo+ysjL4+/u3VahERETNV5oP8Wo8JGHGVFMa9ln62z56/NZeeHhkdxcGR62tvLwcAQEBzcpVWjRiV1dXB61Wa1emUqlQW1vbkmadUlJSgk2bNmHo0KHXTOoAYPny5QgICLBdVyalRERE7VKgHtLghwEAL6jeQQAq0fAQlOWf5+DvX5zAt7nFnJallo3YKRQK3HrrrdBoNLay7du3Y/To0fDx8bGVbd26tWVRNmHRokVYs2YNqqqq8Lvf/Q6ffPIJQkJCrlmfI3ZEROSWasqAN4YBpWdRFjkEVff+ExsOXcSbe0/ZqigkYPk9PHLM07TZiN306dMRHh5uNwL20EMPITo62q7MEWlpaZAkqckrJyfHVn/hwoXIyMjAF198AaVSiWnTpjV5vJlGo4G/v7/dRURE1O5pA4D7PgBU3ggoOICo/9yHmX3s/xm3CGDRliz8/YsT+Kmwgsd9dkAtGrFrDRcvXsSvv/7aZJ1u3bpBrVY3Kv/ll1+g1+vx7bffYsiQIc3qz5EsmIiIyOXOfge8PxmoKUOdyhcvGe7EW5Y7rlo1KkCLkT3DMKJnGH4fF4oAnXWp0oWyauQVGxAb6sNn4bkBR3KVdpfYtcTZs2fRpUsXpKenIzk5uVnfYWJHRERup+QU8PEcIP87AEC58MZ28xD81zwUGeiBxK7hyMgvhanu8lMqlAoJifpABPuoset/hRCCU7fuokMkdgcPHsShQ4cwbNgwBAUFITc3F0899RQKCwtx7Ngxu3V/TWFiR0REbsliBrK3oGLnUvgZztiKa5XeUHUbjtrIBORI3fDlpUh8mmfByeKrb6yQAKx5IBGje0VAp1Y2+pyje67XIRK7rKwszJs3D5mZmTAYDIiKisL48ePx5JNPolOnTs1uh4kdERG5NYsFvx77EuaMDxByYQ+U1SWN63hpUesfgzxzONKLA7Dc/CAAYISUiRL4oVgEwKDwRdfIMAzoEmS9YoKw/2QxFn+cBYuHje5Vmepw49M7AQDHl4yDt9rpE1bbRIdI7OTCxI6IiDyGxQIUZFrX4Z0/Alw4AhT/DAhzs75eJxSohA4VwhsV8EaRCEBqbRoAYInyHVgkJQbGRcHXxxdeWh+otT7Q6Hyg9faFRusNSeUNKFWAUm39VeF1+bVSBShUv3ld/5kkXTOm1hgxvDKx2/3YSHQL83W6rbYY0XQkV2nfKSoRERE1n0IBRCdarwbmWqAsHyjJAy7l4XjOcRz76SRCUYowqRzddAboaksgWergJVkQCAMCJQMAoKu4vKxpktc+eEtG4LT8YQuFF6BQQVKqAIUSkJSApEBVHSBqzNALBYySAuW+OvjrNJfrKBT1vyqv+FXxm/dXlNd/dqa4FsB9AIADr04FugagW7if9XNIl+tKV76u34F8xfsfzxlwz/9GWosBvHiv60c0mdgRERF5MqUKCO5mvQDceBMQVFaN08VVCAn1hneADhACMBkAYzlQUw4Yy1FYVIRntnxva2ZV7T3wU1Sji78EL7MRCnM1FGYjvMw1UAsjtFIttDBBhTp4wQw16uAlmaFCna1MhTqopcajh5KlDrDUAXW/WQcoNBhqXA8AOK6ZAW9DIWBo+W9JF6FBQ2I3Ubkf3r8YgV8cb6eX0ACwJnYC1rN7R/QMc+laRCZ2REREHUxUgM4++ZAkQONrvfyjAQARemCUpT92bc2GWQi8Le7Esrv64s7fjEgJIWCss6C8uhblNXWoqLn8a0VNHcqr63+tf19RbYKh2oiqmmrU1BhRbayxHgWKOnihDkpYbBeuWCx2v3Ex1JIZSskCxRV1FL/51e61ZIECwlbWUG4Wl6d+X6mdBI1UB0BA0XBJFkgAJFgul0FcUcdaXivsN5s0nN3LxI6IiIjanSk3xWBEzzCcLq5C11DvqyYskiRBq1JCq1Ii3Mml6haLgMFUZ5cQni42YOFHR211MtEDEoBHRvWAv05l9/BlIQABgYYiUV9mfX25HADKq014c2+e7f3bltshAZg9PBZ+2sZHkgoA5vrrShU1tVi3L8+uTClJ6Brq7fDPLycmdkRERHRNjUb3WoFCIcFPq6pPrKx93dQ1GBYhsLh+xFApSVh2T19Z1rB1DvLGU/85Zu0bwHIn18bpg+3bWXZPX5c/Eoa7YrkrloiIqN26UL8e8Fojhs6Qe1es3PH9Fh934gAmdkRERNSeOZKrKJr8lIiIiIjcBhM7IiIiIg/BxI6IiIjIQzCxIyIiIvIQTOyIiIiIPESHf45dw6bg8vJyF0dCRERE1FhDjtKcB5l0+MSuoqICAKDX610cCREREdG1VVRUICAgoMk6Hf45dhaLBefPn4efnx8kSbr+F1zopptuwqFDhzyyfznadrYNZ77X3O80p15TdcrLy6HX65Gfn++Rz1n01Htarnbb6p52pD7v6Wvz1PtZrrZb0kZr3dMtvZ+BtrmnhRCoqKhAdHQ0FIqmV9F1+BE7hUKBzp07uzqMZlEqlS79i7A1+5ejbWfbcOZ7zf1Oc+o1p46/v7/H/SMIeO49LVe7bXVPO1Kf9/S1eer9LFfbLWmjte5pue5noPXv6euN1DXg5gk3MnfuXI/tX462nW3Dme819zvNqefqP1dXcvXP3lr9y9VuW93TjtTnPX1trv65PfXvaGe+25H/ju7wU7FE7RmPvCNPw3uaPE17u6c5YkfUjmk0GjzzzDPQaDSuDoVIFrynydO0t3uaI3ZEREREHoIjdkREREQegokdERERkYdgYkdERETkIZjYEREREXkIJnZEREREHoKJHZEbmzhxIoKCgjBp0iRXh0LUYvn5+UhOTsaNN96I/v3749///rerQyJyWmlpKQYNGoSEhAT07dsXb731Vpv0y8edELmxPXv2oKKiAhs3bsRHH33k6nCIWuTChQsoLCxEQkICCgoKMHDgQPz000/w8fFxdWhEDjObzTAajfD29obBYEDfvn1x+PBhhISEtGq/HLEjcmPJycnw8/NzdRhEsoiKikJCQgIAIDIyEqGhoSgpKXFtUEROUiqV8Pb2BgAYjUYIIdAWY2lM7IhcZO/evZgwYQKio6MhSRK2bdvWqM4//vEPdO3aFVqtFoMHD8b333/f9oESNZOc9/QPP/wAs9kMvV7fylETXZ0c93NpaSni4+PRuXNnLFy4EKGhoa0eNxM7IhcxGAyIj4/HP/7xj6t+vnnzZjz66KN45pln8OOPPyI+Ph7jxo1DUVFRG0dK1Dxy3dMlJSWYNm0a1q1b1xZhE12VHPdzYGAgMjMzkZeXh/fffx+FhYWtH7ggIpcDID7++GO7sqSkJDF37lzbe7PZLKKjo8Xy5cvt6qWnp4t77723LcIkajZn7+mamhoxfPhw8e6777ZVqETX1ZK/oxvMmTNH/Pvf/27NMIUQQnDEjqgdMplM+OGHHzBmzBhbmUKhwJgxY3DgwAEXRkbknObc00IIpKamYvTo0Zg6daqrQiW6rubcz4WFhaioqAAAlJWVYe/evbjhhhtaPTYmdkTtUHFxMcxmMyIiIuzKIyIiUFBQYHs/ZswYpKSk4LPPPkPnzp2Z9FG71Zx7ev/+/di8eTO2bduGhIQEJCQkICsryxXhEjWpOffzmTNnMHz4cMTHx2P48OH4y1/+gn79+rV6bF6t3gMRtZovv/zS1SEQyWbYsGGwWCyuDoNIFklJSThy5Eib98sRO6J2KDQ0FEqlstFC28LCQkRGRrooKiLn8Z4mT9Ke72cmdkTtkFqtxsCBA/HVV1/ZyiwWC7766isMGTLEhZEROYf3NHmS9nw/cyqWyEUqKytx8uRJ2/u8vDwcOXIEwcHBiImJwaOPPorp06dj0KBBSEpKwqpVq2AwGDBjxgwXRk10bbynyZO47f3c6vtuieiq0tPTBYBG1/Tp0211Vq9eLWJiYoRarRZJSUniu+++c13ARNfBe5o8ibvezzwrloiIiMhDcI0dERERkYdgYkdERETkIZjYEREREXkIJnZEREREHoKJHREREZGHYGJHRERE5CGY2BERERF5CCZ2RERERB6CiR0RERGRh2BiR0TkpkwmE+Li4vDtt9/K2u6OHTuQkJAAi8Uia7tE1PqY2BFRu5CamgpJkhpdVx7CTfbeeOMNxMbGYujQobYySZKwbdu2RnVTU1Nx9913N6vd8ePHQ6VSYdOmTTJFSkRthYkdEbUb48ePx4ULF+yu2NjYRvVMJpMLomtfhBBYs2YNZs2a1Srtp6am4rXXXmuVtomo9TCxI6J2Q6PRIDIy0u5SKpVITk7Gn//8Z8yfPx+hoaEYN24cACA7Oxu33norfH19ERERgalTp6K4uNjWnsFgwLRp0+Dr64uoqCi88sorSE5Oxvz58211rjbCFRgYiA0bNtje5+fnY/LkyQgMDERwcDDuuusunD592vZ5w2jYihUrEBUVhZCQEMydOxe1tbW2OkajEYsWLYJer4dGo0FcXBzefvttCCEQFxeHFStW2MVw5MiRJkcsf/jhB+Tm5uL222938HcZOH369FVHR5OTk211JkyYgMOHDyM3N9fh9onIdZjYEZFb2LhxI9RqNfbv34833ngDpaWlGD16NBITE3H48GHs2LEDhYWFmDx5su07CxcuxNdff43//Oc/+OKLL7Bnzx78+OOPDvVbW1uLcePGwc/PD/v27cP+/fvh6+uL8ePH240cpqenIzc3F+np6di4cSM2bNhglxxOmzYNH3zwAV577TX873//w5tvvglfX19IkoSZM2di/fr1dv2uX78eI0aMQFxc3FXj2rdvH3r27Ak/Pz+Hfh4A0Ov1dqOiGRkZCAkJwYgRI2x1YmJiEBERgX379jncPhG5kCAiagemT58ulEql8PHxsV2TJk0SQggxcuRIkZiYaFf/+eefF7fccotdWX5+vgAgTpw4ISoqKoRarRYffvih7fNff/1V6HQ6MW/ePFsZAPHxxx/btRMQECDWr18vhBDivffeEzfccIOwWCy2z41Go9DpdGLnzp222Lt06SLq6upsdVJSUsSUKVOEEEKcOHFCABC7du266s9+7tw5oVQqxcGDB4UQQphMJhEaGio2bNhwzd+vefPmidGjRzcqByC0Wq3d76OPj4/w8vISd911V6P61dXVYvDgweKOO+4QZrPZ7rPExETx7LPPXjMGImp/vFybVhIRXTZq1CisXbvW9t7Hx8f2euDAgXZ1MzMzkZ6eDl9f30bt5Obmorq6GiaTCYMHD7aVBwcH44YbbnAopszMTJw8ebLRyFhNTY3dNGWfPn2gVCpt76OiopCVlQXAOq2qVCoxcuTIq/YRHR2N22+/He+88w6SkpKwfft2GI1GpKSkXDOu6upqaLXaq362cuVKjBkzxq5s0aJFMJvNjerOnDkTFRUV2LVrFxQK+0kcnU6Hqqqqa8ZARO0PEzsiajd8fHyuOfV4ZZIHAJWVlZgwYQJeeumlRnWjoqKavZtWkiQIIezKrlwbV1lZiYEDB151h2hYWJjttUqlatRuw+NCdDrddeP4wx/+gKlTp2LlypVYv349pkyZAm9v72vWDw0NtSWOvxUZGdno99HPzw+lpaV2ZUuXLsXOnTvx/fffX3VKt6SkxO5nJKL2j4kdEbmlAQMGYMuWLejatSu8vBr/Vda9e3eoVCocPHgQMTExAIBLly7hp59+shs5CwsLw4ULF2zvf/75Z7tRqgEDBmDz5s0IDw+Hv7+/U7H269cPFosFX3/9daORtAa33XYbfHx8sHbtWuzYsQN79+5tss3ExESsXbsWQghIkuRwTFu2bMGSJUvw+eefo3v37o0+bxiRTExMdLhtInIdbp4gIrc0d+5clJSU4P7778ehQ4eQm5uLnTt3YsaMGTCbzfD19cWsWbOwcOFC7N69G9nZ2UhNTW003Th69GisWbMGGRkZOHz4MP7v//7PbvTtwQcfRGhoKO666y7s27cPeXl52LNnDx555BH88ssvzYq1a9eumD59OmbOnIlt27bZ2vjwww9tdZRKJVJTU/H444+jR48eGDJkSJNtjho1CpWVlTh27JgDv2tW2dnZmDZtGhYtWoQ+ffqgoKAABQUFKCkpsdX57rvvoNForhsHEbUvTOyIyC1FR0dj//79MJvNuOWWW9CvXz/Mnz8fgYGBtuTtb3/7G4YPH44JEyZgzJgxGDZsWKO1eq+88gr0ej2GDx+OBx54AH/961/tpkC9vb2xd+9exMTE4J577kHv3r0xa9Ys1NTUODSCt3btWkyaNAl/+tOf0KtXL8yePRsGg8GuzqxZs2AymTBjxozrthcSEoKJEyc69RDhw4cPo6qqCkuXLkVUVJTtuueee2x1PvjgAzz44INNTgcTUfsjid8uLiEi8mDJyclISEjAqlWrXB1KI/v27cPNN9+M/Px8REREXLf+0aNHMXbsWOTm5l51E4mziouLccMNN+Dw4cNXfUA0EbVfHLEjInIxo9GIX375Bc8++yxSUlKaldQBQP/+/fHSSy8hLy9P1nhOnz6N119/nUkdkRvi5gkiIhf74IMPMGvWLCQkJODdd9916LupqamyxzNo0CAMGjRI9naJqPVxKpaIiIjIQ3AqloiIiMhDMLEjIiIi8hBM7IiIiIg8BBM7IiIiIg/BxI6IiIjIQzCxIyIiIvIQTOyIiIiIPAQTOyIiIiIP8f8IXk2ogOZX/wAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "vampl1 = vpp1/2\n", - "vampl2 = vpp2/2\n", - "\n", - "fig, ax = plt.subplots(2)\n", - "ax[0].plot(freqs2, displ2/vampl2, marker='.', label=\"2 Vpp Data\")\n", - "ax[0].scatter(freqs1, displ1/vampl1, marker='.', label=\"1 Vpp Data\", color='black')\n", - "freq_range = np.linspace(5, 1000, 1000)\n", - "ax[0].plot(\n", - " freq_range,\n", - " A(freq_range, result.params['f0'], result.params['Q'], result.params['k']),\n", - " label=\"Fit\",\n", - ")\n", - "ax[0].set_title(\"Plot of Displacement/Vampl vs. Frequency\")\n", - "ax[0].legend()\n", - "ax[0].loglog()\n", - "ax[0].set_ylabel(\"Displ (microns)/Vampl (V)\")\n", - "ax[0].set_xlabel(\"Frequency (Hz)\")\n", - "ax[0].errorbar(freqs2, displ2/vampl2, yerr=displ2_sigma, fmt='none')\n", - "\n", - "ax[1].plot(freqs_phase, phases, marker='.', label=\"2 Vpp Data\")\n", - "pfreq_range = np.linspace(40, 1000, 960)\n", - "ax[1].plot(\n", - " pfreq_range,\n", - " phase(pfreq_range, result.params['f0'], result.params['Q'], result.params['c']),\n", - " label=\"Fit\",\n", - ")\n", - "ax[1].set_xscale('log')\n", - "ax[1].set_xlabel(\"Frequency (Hz)\")\n", - "ax[1].set_ylabel(\"Phase (radians)\")\n", - "ax[1].legend()\n", - "ax[1].set_title(\"Plot of Phase vs. Frequency\")\n", - "ax[1].errorbar(freqs_phase, phases, yerr=phase_sigma, fmt='none')\n", - "plt.tight_layout()" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "076f5406", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "

Fit Result

Model: Model(combined_func)

Fit Statistics
fitting methodleastsq
# function evals31
# data points67
# variables4
chi-square 5.24984191
reduced chi-square 0.08333082
Akaike info crit.-162.615142
Bayesian info crit.-153.796371
R-squared 0.99939231
Parameters
namevaluestandard errorrelative errorinitial valueminmaxvary
f0 255.711576 0.08835775(0.03%)255.0 -inf infTrue
Q 28.4394344 5.55573564(19.54%)30.0 -inf infTrue
k 8.65520859 0.03020667(0.35%)1.0 -inf infTrue
c-3.23380746 0.07719429(2.39%)-0.1 -inf infTrue
Correlations (unreported values are < 0.100)
Parameter1Parameter 2Correlation
Qk-0.7728
f0Q-0.2384
f0k+0.1858
" - ], - "text/plain": [ - "" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "419fa414", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
Parameters
namevaluestandard errorrelative errorinitial valueminmaxvary
k 8.64730281 0.03474629(0.40%)1.0 -inf infTrue
f0 255.703286 0.09830820(0.04%)250.0 -inf infTrue
Q 30.5280698 8.05375565(26.38%)1.0 -inf infTrue
" - ], - "text/plain": [ - "Parameters([('k', ), ('f0', ), ('Q', )])" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "result.params" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "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": "3.10.5" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/calibration_rp.ipynb b/calibration_rp.ipynb new file mode 100644 index 0000000..4fb4352 --- /dev/null +++ b/calibration_rp.ipynb @@ -0,0 +1,351 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "5e3c1deb", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import scipy\n", + "import pandas as pd\n", + "import lmfit" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "a2845a38", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Index(['Frequency (Hz)', 'Vpp (V)', 'Displacement (Microns)',\n", + " 'Displacement (Microns) / Vampl (V)', 'A Uncertainty (V/microns)',\n", + " 'Phase (Radians)', 'Uncertainty (Radians)'],\n", + " dtype='object')\n" + ] + } + ], + "source": [ + "df = pd.read_csv('../RPData.csv')\n", + "data = df.to_numpy()\n", + "\n", + "print(df.columns)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "03446f09", + "metadata": {}, + "outputs": [], + "source": [ + "freq = data[:, 0]\n", + "vpp = data[:, 1]\n", + "displ = data[:, 2]\n", + "a = data[:, 3]\n", + "a_sigma = data[:, 4]\n", + "phases = data[:, 5]\n", + "phases_sigma = data[:, 6]" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "292e1321", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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t2hQDBgxAaGgopkyZYugGUVqTJk2Mnru7uyM4ONikL39py5YtQ9u2beHs7AxfX1/4+/tj8+bNyMzMNNS5du0aQkJC4OPjU+Zxrly5AlEU0aRJE/j7+xv9XLhwwTDwXS80NNRk7ItSqTSaJUtfBsDQFebOnTvIyMjAd999Z3KeyZMnA4DJuerXr2/03Nvb2+iYD7J582b069fPZIancePGQaVSYcOGDQCAgwcPIj4+3qibVV5eHt59912EhYVBoVDAz88P/v7+yMjIMHqPy4pV//rNvS/m4i/9OQCApk2bPvBzYM6YMWOQl5dnGCeQk5ODLVu2YNSoUYZ/u549e2LkyJGYO3cu/Pz88J///Mci0yn36NEDffv2Nfx07drVaHtERITR8ytXrgAoGqtV+nOxbds2w2dCfz2be5/M/W2piKtXr0IURcyePdvk3PpkvLKfSX2i0Lp163LPPWbMGCgUCkPilZmZiU2bNmHcuHFcq4Tshs3MCrVhwwZ88cUXiI6OxjPPPIMxY8ZwZgmiWtKpUyfDrFB1kX5AbXnT1gYEBODUqVP466+/sHXrVmzduhVLlizBhAkTsGzZsmrH8Msvv2DSpEkYNmwYXn/9dQQEBBjGr5T8BrQidDodBEHA1q1bjb5J1is9dai5OuWVi8VjRfTT8T711FOYOHGi2bpt27at1DHLk5ubiz179uDrr7822TZ48GAolUqsWLECTz75JFasWAG5XG7UEjNjxgwsWbIEL7/8Mrp06QKlUglBEDB27FizUwtX5n2pSPzV0blzZ4SHh+O3337Dk08+iT/++AN5eXkYM2aMoY4gCFizZg0OHz6MP/74wzCd8meffYbDhw+b/LtbSsmWIOD+5+Lnn39GUFCQSf2qTPtb1o25ftB66XO/9tprZX45Uvo6r85nsiRvb28MHjwYy5cvx7vvvos1a9ZArVbjqaeeqtRxiKyZzSQWV65cwd69e/Hjjz/ipZdewksvvYRRo0bhmWeewcMPPyx1eERUQoMGDQAAly5dMswgpXfp0iXDdqDsG4IHHbdhw4aGco1Gg7i4OPTt27c6YZdJP/C2vFYaoKjlZMiQIRgyZAh0Oh1eeOEFfPvtt5g9e7bRzcqVK1fQu3dvw/OcnBwkJSUZDTgubc2aNWjYsCHWrVtn9J6V7vLUqFEj/PXXX0hPTy+z1aJRo0YQRRERERGGbkA1wd/fHx4eHtBqtRb9tynrM7Nr1y6o1WoMGDDAZJtCocDjjz+On376CSkpKVi9ejX69OljdGO7Zs0aTJw4EZ999pmhLD8/32Qwu6Xov7kv6fLly1Ve0X306NH48ssvkZWVhVWrViE8PBydO3c2qde5c2d07twZH3zwAVasWIFx48Zh5cqVeOaZZ6p03spq1KgRgKJkvLzPhf56N/c+Xbp0yei5vhWh9L9V6VZM/d8NR0dHi30m9a/n3LlzD1wzZ8KECfjPf/6DY8eOYfny5WjXrh1atWplkTiIrIHNdIUCippbly5diuTkZHz55Ze4cuUKunXrhhYtWuDTTz+12ErARFQ9HTp0QEBAAL755hujbhZbt27FhQsXMGjQIEOZvuWxIjdvffv2hZOTExYuXGj0beH//vc/ZGZmGh3XUlasWIEffvgBXbp0wSOPPFJmvbt37xo9l8lkhm/jS3c1+e6774z6uH/99dcoLCw0e0Osp//WtOTrPnLkCA4dOmRUb+TIkRBFEXPnzjU5hn7fESNGQC6XY+7cuSbfuoqiaPJaqkoul2PkyJFYu3at2WlUqzqDn5ubm9muSVu2bEGHDh0QGBhodr9x48ahoKAAzz33HO7cuWOydoVcLjd5PxYtWmTyrbel/P7770b9+Y8ePYojR46U+zkoz5gxY6BWq7Fs2TL8+eefGD16tNH2e/fumby+qKgoAMaf0WvXrlW6Fawy+vfvD09PT3z44Ydmx3roPxfBwcGIiorCsmXLjP69t2/fjvPnzxvt06BBA8jlcuzdu9eo/KuvvjJ6HhAQgF69euHbb79FUlJSmeeujH79+sHDwwPz5s0zmTK29Ps9YMAA+Pn54aOPPsLff//N1gqyOzbTYlGSm5sbpkyZgilTpuDq1atYsmQJ5s2bh7fffrvafUWJqPocHR3x0UcfYfLkyejZsyeeeOIJpKSk4Msvv0R4eLjRBAvt27cHALz44ovo37+/SfeUkvz9/TFr1izMnTsXjz32GIYOHYpLly7hq6++QseOHav9n/SaNWvg7u4OjUZjWHn7wIEDiIyMxOrVq8vd95lnnkF6ejr69OmD0NBQ3LhxA4sWLUJUVBRatGhhVFej0eCRRx7B6NGjDfF369YNQ4cOLfP4gwcPxrp16zB8+HAMGjQIcXFx+Oabb9CyZUujAbu9e/fG+PHjsXDhQly5cgWPPfYYdDod9u3bh969e2P69Olo1KgR/u///g+zZs1CfHw8hg0bBg8PD8TFxWH9+vV49tln8dprr1XrvdSbP38+du/ejejoaEydOhUtW7ZEeno6Tp48iR07diA9Pb3Sx2zfvj1WrVqFmTNnomPHjnB3d8eQIUOwZcsWw9gNc3r27InQ0FBs2LABLi4uJlMQDx48GD///DOUSiVatmyJQ4cOYceOHeVOq1wdjRs3Rrdu3fD8889DrVZjwYIF8PX1xRtvvFGl4z300ENo3Lix4f/Ckt2ggKIxOl999RWGDx+ORo0aITs7G99//z08PT2NWsv0CXRVxnpUhKenJ77++muMHz8eDz30EMaOHQt/f38kJCRg8+bN6Nq1KxYvXgwAmDdvHgYNGoRu3bphypQpSE9Px6JFi9CqVSujz71SqcSoUaOwaNEiCIKARo0aYdOmTSbjJYCiMWPdunVDmzZtMHXqVDRs2BApKSk4dOgQbt68idOnT1f69XzxxRd45pln0LFjRzz55JPw9vbG6dOnkZuba9QV0tHREWPHjsXixYshl8utdoFRoiqr3UmoLCsnJ0f88ccfxa5du4qCIIjNmzeXOiQiu6KfbvFB01OWNdXjqlWrxHbt2okKhUL08fERx40bZzS9pigWTcc5Y8YM0d/fXxQEoUJTzy5evFhs3ry56OjoKAYGBorPP/+8eO/ePaM6VZluVv/j7OwshoaGioMHDxZ//PFHo2kp9UpPN7tmzRqxX79+YkBAgOjk5CTWr19ffO6558SkpCRDHf37+ffff4vPPvus6O3tLbq7u4vjxo0T7969a3T80tPN6nQ68cMPPxQbNGggKhQKsV27duKmTZtM4hDFovf0k08+EZs3by46OTmJ/v7+4oABA8QTJ04Y1Vu7dq3YrVs30c3NTXRzcxObN28uTps2zTD9qj6OVq1ambz+Bg0aiIMGDTIpByBOmzbNqCwlJUWcNm2aGBYWJjo6OopBQUHiI488In733XeGOvrP0OrVq432NTddaE5Ojvjkk0+KXl5ehmlHz507JwIQjx49ahJTSa+//roIQBw9erTJtnv37omTJ08W/fz8RHd3d7F///7ixYsXxQYNGogTJ0401CvruijrMzdx4kTRzc3N5DV98skn4meffSaGhYWJCoVC7N69u3j69Gmzx6yot99+WwQgNm7c2GTbyZMnxSeeeEKsX7++qFAoxICAAHHw4MHi8ePHjeo1aNCgzOl8K/J69R7092P37t1i//79RaVSKTo7O4uNGjUSJ02aZBLP2rVrxRYtWogKhUJs2bKluG7dOrOf+zt37ogjR44UXV1dRW9vb/G5554zfC5Kfn5EURSvXbsmTpgwQQwKChIdHR3FevXqiYMHDxbXrFnzwPjL+nu3ceNG8eGHHxZdXFxET09PsVOnTuKvv/5q8rqPHj0qAhD79etn9n0hsmWCKNbwiLIasH//fvz4449Ys2YNRFHEqFGj8PTTT5vMREFEZE2WLl2KyZMn49ixY3V6MHxN+Pjjj/H5558jKSnJ6mfYiY+PR0REBD755BOLtQzVNZMmTcKePXtqrFWlJp0+fRpRUVH46aefDItvEtkLm+kKlZSUhGXLlmHp0qW4fPkyOnfujM8//9wwpz4REdVd4eHh+OKLL6w+qSD6/vvv4e7ubtIVj8ge2ExiERYWBl9fX4wfPx5PP/20SZ9lIiKqu0oPVCayNn/88QfOnz+P7777DtOnT+eU+WSXbCax+O233zB06NAqzW9NREREJKUZM2YgJSUFAwcONDtrG5E9sIkxFiqVqlKZfWXrExERERFR9djEOhaNGzfG/Pnzzc45rSeKIrZv344BAwZg4cKFtRgdERERERHZRIvFpUuX8NZbb2Hz5s2IjIxEhw4dEBISAmdnZ9y7dw/nz5/HoUOH4ODggFmzZuG5554zLCZFREREREQ1zyYSC72EhASsXr0a+/btw40bN5CXlwc/Pz+0a9cO/fv3x4ABA2wqodDpdLh9+zY8PDw4kwkRERERWR1RFJGdnY2QkBDIZOV3drKpxMLe3Lx5E2FhYVKHQURERERUrsTERISGhpZbh1MsScjDwwNA0T+Up6enxNEQERERERnLyspCWFiY4b61PEwsJKTv/uTp6cnEgoiIiIisVkW67dvErFBERERERGTdmFhIIDY2Fi1btkTHjh2lDoWIiIjsQFJmHg5eS0NSZp7UoVAdxsHbEsrKyoJSqURmZia7QhEREVGVrDqWgFnrzkInAjIBmDeiDcZ0rC91WGQnKnO/ahNjLM6cOVPhum3btq3BSIiIiIisR1JmniGpAACdCLy17hx6NPVHsNJF2uCozrGJxCIqKgqCIKCsxhX9NkEQoNVqazk6IiIiImlcTc0xJBV6WlFEfFouEwuqdTaRWMTFxUkdAhEREZFVEUURvx5NMCmXCUC4n6sEEVFdZxOJRYMGDaQOgYiIiMiqzP/zIracTYYgAAJgaLmY0KUBWytIEjaRWJR26dIlLFq0CBcuXAAAtGjRAjNmzECzZs0kjoyIiIio5v2w7zq+/fs6AOCjkW3RvYkf3vn9HHZeSAWn5SGp2Nx0s2vXrkXr1q1x4sQJREZGIjIyEidPnkTr1q2xdu1aqcOrEE43S0RERFW1/p+b+L/NRV+uvvFYM4zuEIZgpQvGdAgDAOy5fEfK8KgOs7npZhs1aoRx48bh/fffNyqfM2cOfvnlF1y7dk2iyCqP080SERFRZey+lIqpy46jUCdiStcIzB7cwrAico66EO3e34YCrYjdr/VChJ+bxNGSPajM/arNtVgkJSVhwoQJJuVPPfUUkpKSJIiIiIiIqOb9k3APL/xyEoU6EcOiQvDOoPtJBQC4KxzQoYEPAODvS6lShUl1mM0lFr169cK+fftMyvfv34/u3btLEBERERFRzUnKzMOa44mY+ONR5BVo0aOpPz5+PBIymWBSt1czfwDsDkXSsLnB20OHDsWbb76JEydOoHPnzgCAw4cPY/Xq1Zg7dy42btxoVJeIiIjIVpVcVRsAQr1d8PW4h+DkYP674Z7N/DFv60UcunYX+QVaODvKazFaqutsboyFTFaxRhZbWCyPYyyIiIioLEmZeeg6f5fRAngyATgQ06fM6WRFUUSXebuQnJWPpZM7olezgFqKluyVXY+x0Ol0Ffqx9qSCiIiIqDxxaSqTVbV1IhCfllvmPoIgGLpD/c3uUFTLbC6xICIiIqoLIvzcUHoUhVwQHriqds+mxYnFJSYWVLtsbowFABw7dgy7d+9GamoqdDqd0bbPP/9coqiIiIiILCfI0xkBngqkZKkBFCUVH45o/cBVtbs28YODTMD1NBUS7uaivm/5iQiRpdhcYvHhhx/inXfeQbNmzRAYGGg0zVrJx9YsNjYWsbGx7K5FREREZTqZcA8pWWooHATEjmuPViGeD0wqAMDT2REPNfDG0bh0/H05FeO7hNd8sESwwcTiyy+/xI8//ohJkyZJHUqVTZs2DdOmTTMMhiEiIiIqbfmRBADAkMh66NsisFL79mzqj6Nx6Vh38hb6tgysUEJCVF02N8ZCJpOha9euUodBREREVGMycwuw+UzRwr9PRtev9P7qwqJeEf8kZqDr/F1YdSzBovERmWNzicUrr7yC2NhYqcMgIiIiqjFLD8ZBXahDI383tAvzqtS+SZl5WLzrquG5TgTeWncOSZl5Fo6SyJjNdYV67bXXMGjQIDRq1AgtW7aEo6Oj0fZ169ZJFBkRERFR9a08moAvdlwBAFy/o8JvxxMxpmPFWy3MTVOrFUXEp+WySxTVKJtrsXjxxRexe/duNG3aFL6+vlAqlUY/RERERLYqKTMPs9afNTwXUfnWhgg/N8hKzWcjE/DAaWqJqsvmWiyWLVuGtWvXYtCgQVKHQkRERGRRcXdUEKvZ2hCsdMG8EW3w1rqz0BYfa0DrYLZWUI2zuRYLHx8fNGrUSOowiIiIiCzu1M0Mk7KKLIpX2piO9bE/pg+e6RYBADiflAWxdMZCZGE2l1i89957mDNnDnJzy17OnoiIiMjW/HL4Bj7+85JRWUUXxTMnWOmClx9tCneFA+LSVDh07a6lQiUyy+a6Qi1cuBDXrl1DYGAgwsPDTQZvnzx5UqLIiIiIiKomKTMPs38/Z1QmA7DuhS6IDPOu8nHdFQ4Y1i4EvxxOwA/74wChaAwGu0VRTbC5xGLYsGFSh2AkMTER48ePR2pqKhwcHDB79myMGjVK6rCIiIjIhqw7eROlOyrpAORqdNU+9pOdGuCXwwnYdTEVuy6mQiYA80a0qdRMU0QVYXOJxZw5c6QOwYiDgwMWLFiAqKgoJCcno3379hg4cCDc3NykDo2IiIhswC+Hb+CTvy6blFdlbIU53m7GvTv061r0aOrPlguyKJsbY2FtgoODERUVBQAICgqCn58f0tPTpQ2KiIiIbMLpxHt4p1QXKKBoetiqjq0oLS5NZVKmn2mKyJJsLrHQarX49NNP0alTJwQFBcHHx8fop7L27t2LIUOGICQkBIIg4PfffzepExsbi/DwcDg7OyM6OhpHjx41e6wTJ05Aq9UiLCys0nEQERFR3bLqWAL+E3vQ7LaFY9tZrKuSuXUtLNUaQlSSzSUWc+fOxeeff44xY8YgMzMTM2fOxIgRIyCTyfDee+9V+ngqlQqRkZGIjY01u33VqlWYOXMm5syZg5MnTyIyMhL9+/dHamqqUb309HRMmDAB3333XVVeFhEREdUhSZl5iFl31uw2uSCgfXjVB2yXpl/XomRy8Wq/puwGRRYniDY2qXGjRo2wcOFCDBo0CB4eHjh16pSh7PDhw1ixYkWVjy0IAtavX280QDw6OhodO3bE4sWLAQA6nQ5hYWGYMWMGYmJiAABqtRqPPvoopk6divHjx5d5fLVaDbVabXielZWFsLAwZGZmwtPTs8pxExERke1IyszDL4duIHbPNZNtNTmwOikzD8/+dBxnb2Xh0RaBmNwtnDNE0QNlZWVBqVRW6H7V5loskpOT0aZNGwCAu7s7MjMzAQCDBw/G5s2bLXoujUaDEydOoG/fvoYymUyGvn374tChQwAAURQxadIk9OnTp9ykAgDmzZsHpVJp+GGXKSIiorpl1bEEdJ2/y3xSAWD9Cw/X2GxNRS0XbQEA2y+k4Mnvj6Dr/F1YdSyhRs5HdY/NJRahoaFISkoCUNR6sW3bNgDAsWPHoFAoLHqutLQ0aLVaBAYGGpUHBgYiOTkZAHDgwAGsWrUKv//+O6KiohAVFYWzZ803bc6aNQuZmZmGn8TERIvGS0RERNZL3/1JZ6aviFwQMG9km2qtWVERvu5ORs/1M0QlZebV6HmpbrC56WaHDx+OnTt3Ijo6GjNmzMBTTz2F//3vf0hISMArr7xS6/F069YNOl3F5phWKBRQKBSIjY1FbGwstFptDUdXtqTMPMSlqdgESkREVMOSMvNwPVWFVccTYK4D+uxBLTCwbXCt/H9c3gxRvB+g6rKZxGLx4sV46qmnMH/+fEPZmDFjUL9+fRw6dAhNmjTBkCFDLHpOPz8/yOVypKSkGJWnpKQgKCioysedNm0apk2bZuizVttWHUvArOJvTLhIDhERUc0p+X+uOXJBqLWkArg/Q1TJeGQCOEMUWYTNdIV6++23ERISgnHjxmHXrl2G8i5dumDmzJkWTyoAwMnJCe3bt8fOnTsNZTqdDjt37kSXLl0sfr7akJSZZ/QHTicCb649i0c//xvPLDuGdzecwzd/X8OGU7dwPD4dtzPyUKit/qqfREREdc3tjFzErDVNKvSzM8kFwWJrVVSUuRmiWtdTsrWCLMJmWiySk5OxevVqLFmyBI8++ijq16+PKVOmYNKkSdUaBJ2Tk4OrV68ansfFxeHUqVPw8fFB/fr1MXPmTEycOBEdOnRAp06dsGDBAqhUKkyePLnK55SyK1RcmsrstyZXUnNwJTXH7D5ymYBADwVCvFwQ7OWCEC9n1PNyQbDy/mOliyMEQTC7PxERUV2h72rs7uSAuZvOw1xDxcKx7eDrrkC4n6skN/RjOtZHj6b+2H0xFW+vP4czNzOx+1IqejcLqPVYyL7Y3HSzAHD9+nUsXboUP/30E27evIm+ffvi6aefxrBhw+Do6PjgA5SwZ88e9O7d26R84sSJWLp0KYCibliffPIJkpOTERUVhYULFyI6Orrar6My03dZSlJmHrrO32XSBPrJqEjkF2hxOyMPSRn5uJWRh9uZeUjOzEeB9sEfERdHOUK8nBHi5YIQpUvRb/1zLxcEK53h7CivwVdGREQkrQd1ewKKWin2x/S2mhaC/9t0Hj/sj0M9Lxdsn9kDrk42850z1ZLK3K/aZGKhJ4oiduzYgaVLl+L333+Hm5ubycJ11kyKxAIo+sP31rpz0IqioRm2rDEWOp2ItBw1bmXkISkzH7cz8ooeZ+TjdmYebmfkIS1HU6Hz+ro5GZKMEC+XolYPr/uP/d0VkJVeGpSIiMiK6VsoBAh48vvDJi0Uz3SLwJID8RX6P1cKKnUh+n2xF7cy8vBcj4aYNbCF1CGRlanM/apNp6WCIMDBwQGCIEAURRQUFEgdUoVIPSuUvgk0Pi33gc2wMpmAAE9nBHg6o10ZdfILtEjO1CcaRclHUmYebhU/vp2Rh1yNFndVGtxVaXD2VqbZ4zjIBAQp9a0e91s7SrZ8eDpXrkWKiIioplSkheKRFoF4untEhf7PlYKbwgHv/6cVnl52HD/sj8PQqBC0Cqn9iWXIPthki0ViYiKWLFmCpUuXIiEhAT169MDTTz+NkSNHwtnZWerwKkyqFovaJooisvIKi1s98opbPfINj29n5CM5Kx/a8v4yF3NXOBgSjWClC+oZPXZBkNIZTg42MycBERHZIK1OxLqTN/H6mjPl1rO2bk/leWH5CWw5m4zIUCXWvdAVcvYgoGJ22WKh0Wiwbt06/Pjjj9i1axeCg4MxceJETJkyBQ0bNpQ6PCqHIAhQujpC6eqIliHmP5BanYjU7HxDoqFv6bidef/xvdwC5KgLcTklB5dTzA80FwTAz11h2upR4rGvmxO7XBERUaWlZOVj1bFErDyagNuZ+Wbr6KdylWLGp+qYM6QV9l1Ow+mbmfjl8A1MfDhc6pDIBtlMi4WPjw9UKhWGDBmCp59+Gv3794dMZtvfTNeVFgtLydNoDeM6DAPMS439UBc+eGpcJ7msaGyHsmiMR70SA8zrFc985a6wmZybiIhqkE4n4sC1NCw/nIDtF1IMretKZwdk5RcajamQCwLWvdAFuRqdVXZ7epCfD8Vj9oZ/4a5wwI6ZPRGktJ1eIFRz7HLw9scff4wpU6bAz89P6lCqreQYi8uXLzOxsBBRFHEvt6DEAPOiFg/D44x8pGTnm131tDRPZwezA8z1U+wGejrDUW7biS0REZXtbo4aa07cxIqjCbhxN9dQ3jHcG+OiG+Cx1kHYcOpWhSdDsQU6nYiR3xzEPwkZ6NnUD8/1bIQIPzebS5DIsuwysXB3d0d4eDiGDh2K//znPxaZ7lVqbLGofQVaHVKy8nG7eIyHodWjRAtIVn7hA48jE4AAD2eEeDkjuDjpCFGWeOzlAm9Xru1BRGRLRFHE0bh0LD+SgD/PJUNTvECsh8IBI9uH4sno+mga6GG0T1JmntUOzK6Ki8lZGPjlPsOAdJkAzBvRxqYTJqoeuxxjkZaWhu3bt2PDhg34z3/+A0EQMHjwYAwdOhSPPvqoTQ3aJuk4ymUI9XZFqLdrmXVy1IVI0rd6mJliNykjHxqtDslZRYPOkZBh9jjOjjLDmh7mptgNUbrAxYlrexARSUU/Vayfm6Kou9ORBFwtsVhsZKgS46IbYHBkcJnrOwQrXewiodBTujgatezrROCtdefQo6m/Xb1Oqhk202JRkiiKOHToEDZu3IiNGzciISEBffv2xdChQzFkyBD4+/tLHWKFsMXCNul0Iu6qNGYHmOsf38lWV+hY3q6OZgeY62e+CvBw5swcRETF9IlAVbrniKIIlUaLeyoN0lUa/H7qFpYeiDdZd8LFUY5h7ULwZKcGaBNa96ZdPXgtDU9+f8Sk/NepndGlka8EEZHU7LIrVHmuXLmCjRs3YsOGDThy5Ag+//xzTJs2TeqwysQxFvZPXahFSqa6xADz++t6JGXm4da9PKg0D17HRC4TEORZ3OWquPWjntFjF3i6OLDLFRHZvZJrRsgE4P3/tEaf5gFIV2lwL7coWbin0iA9t6D4t8aQRNzL1eCeqsDQtaksr/VrigkPh9fpNZOSMvPQdf4uk7U5fprcCT2a2cYXt2RZdS6xKOnu3btIT09HkyZNpA7lgdhiUXeJoois/ELjdT1KtXokZ+ajsAJre7g6yc23ehQ/DlI6w9mRXa6IyDalZudj94VUxKw7a9K6UBUKBxncFXLcVZkuqstv5YusOpZgGJSu5+HsgP9N7IhOET4SRkZSsOvEQq1W48iRI7hx4wZyc3Ph7++Pdu3aISIiQurQKo2JBZVHqxORlqM2O8BcP/bjrkpToWP5uTsZxnWYm2LXz13BtT2ISHJ5Gi3O3srEqcR7OJWYgdOJmbiVkVdmfbkM8HVTwMfNCd6uTkW/3Rzh4+oEbzenUuVO8HF1gouT3Oy38ra0mF1t0A9K93V3wtvrz+JY/D0oHGSIffIh9G0ZKHV4VIvsMrE4cOAAvvzyS/zxxx8oKCiAUqmEi4sL0tPToVar0bBhQ0ydOhXPP/88PDw8HnxAK8DEgqorv0BrOsA8I8+w3sftjHzkFTy4y5WjXECQsmhtj9IDzPVjPjxKdQ2oTl9nIqqbSv7dCPBwxrU7OTiVkIF/EjNwOjEDl1KyDetE6AkCEOHrhutpKqNymQDsf7M3QrzKnoyjPCW/lbeHqWJrUp5Gi+krTmLnxVTIZQI+HtkWI9uHSh0W1RK7SyyGDh2KkydP4sknn8SQIUPQoUMHuLjcv5G5fv069u3bh19//RWnT5/GTz/9hEcffVTCiCuGiQXVNFEUkZFbUJxolEw6isd7ZOQhOSvfpC+tOR4KB0OSkavR4mhcOkQAAoAnOtVHj6b+cHIQ4CiXGX6c5DI46stkJR7rt8kFyGWCzY0RYVJFZEynE6Eu1EFdqIW6UIf8gqLf6oL7ZdvPJ2PZwRuG7kwKB5nZRU0DPRWICvNCVJg3osK80CZUCXeFQ40kAvY2VWxNKtDq8OaaM1j3zy0AwDuDWuCZ7g0ljopqg90lFt9++y2mTJkCR8cHD6Y6f/48kpKS8Mgjj9RCZFXDwdtkTQq1OqRkqw1T7OrX+NC3eNzOzENGrmlfZEsRBBglGobEw8H4ufFjmZkkpvi5Q6nn+jLZ/e1ODzyWaRLkIBfgIBPw2/FEowGkdWl+dyZUllFT76NWJ96/oS/UFt/U6x5cVpwA5Bu2l0oOCnVQF9wv0+jLiuvnF2pRoK3arYSzowyRoV6Iqu+FdmFeiAzzKvc9YSIgLZ1OxAdbLuB/++MAANN6N8Jr/ZrZ3JdDVDl2l1jYK7ZYkK3I1RQaWjn2XbmD7/fFmdRpGugOZ0c5CrQiCrS6op9CHTQln2t1Vb4BsWZKZwc4yGUQBEAQBMgEQCYIEFD8XAYIuF+O4t+G5yh+XqKeIAgQStQTio9Xsp5+e2XrCSXi09dDifjM1buQnIUDV++iqCbQs5k/WgR7Fr9GFJcLJR4XK94f5dQzPC5xc1LeMYveQsGoXsn9jWO6v+1BsZU+ZunXBnPHLB3vA2I7fO0ufj2aYGjtG9YuBK3reRnd9KsLtcgvML7pV5e66TduFSj6XZHJHmqDg0yAwkEGhaMcCgcZnB3lKNTqkHjPdKzE8mei0bWxnwRRUlWJooiv9lzDJ39dAlDUYv1/w1pzanQ7ZteJRWJiIgRBQGhoUd++o0ePYsWKFWjZsiWeffZZiaOrHCYWZIuqO+hRFEWj5ENTnGwU6p8Xmm4rKCz13FC31L6lkpiSxzJsLzROcko+1pRIiPTPiWyRo1yAwuH+jb3CoagVsOTNvsJBVvwjh7Nj0W+Fo5kyBxkUjjI4G7aXU+Ygg4NcZhIPB0vbnxVHEvD272chisCA1kFYMDYKCgfOQGiP7Dqx6N69O5599lmMHz8eycnJaNasGVq1aoUrV65gxowZePfdd6UOscKYWJCtqiuDHkVRRKGuOPkoFJF4LxdDF+83ujmSCUXfuvq6K6ATReh0gAgRogjoxPu/i/Yp+q3TFf02V08sLtfpzOxXTj3D85Lbi/fX/35wPX2ZCBH3z5+YnotNZ5JM3p8BrYMQpHQufq+M3zfR8Lj4d/FrLXpcsr5oqFdWXcN23C+8X27uXEXlhv1LHPdB5zIbVwXPVfr1lj5XRp4GF5KyUVqXRr6o5+VifCNvuLG/nwyYSwCcS2zT3+wrHORW+e1xXfm7UZdsOZuEl1eegkarQ9fGvvh2fAe4K8yvUE62y64TC29vbxw+fBjNmjXDwoULsWrVKhw4cADbtm3Df//7X1y/fl3qECuMiQXZsrra17ku3hzx22bL4PtYd/9u2LMDV9Pw7E/HodJo0TZUiSWTOsLXXSF1WGRBlblfNW2vtHIFBQVQKIo+sDt27MDQoUMBAM2bN0dSkuk3akRUM4KVLujSyLfO3RyM6Vgf+2N649epnbE/prfdJxVA0b/1vBFtIC8eJ6BPqOrav3118X2su3837FnXxn5YMbUzvF0dceZmJkZ9e6jctUfIvtlci0V0dDR69+6NQYMGoV+/fjh8+DAiIyNx+PBhPP7447h586bUIVYYWyyIyJbw22bL4PtI9uhqag4m/O8IbmfmI1jpjJ+f7oTGAbaxrhiVz667Qu3ZswfDhw9HVlYWJk6ciB9//BEA8NZbb+HixYtYt26dxBE+GKebJSIiIntzOyMP4/93BNfuqODt6ohPRkXC1UnOKaptnF0nFgCg1WqRlZUFb29vQ1l8fDxcXV0REBAgYWSVwxYLIiIisifpKg0mLzmK0zczDWV1bc0fe2PXYywAQC6XGyUVABAeHm5TSQURERGRvfFxc8Jno6OMynQi8Na6c0jK5NgLe2dziUVKSgrGjx+PkJAQODg4QC6XG/0QERERkXRSs/NNyrSiiGupORJEQ7XJ5iYbnjRpEhISEjB79mwEBwdzGXkiIiIiKxLh5waZAJReDP7TbZfRLMgT/h6cjtZe2dwYCw8PD+zbtw9RUVFSh1JtHGNBRERE9qjkmj8yAXCUy6Au1CHI0xnfjG+PqDAvqUOkCqrM/arNtViEhYXBxnIhIiIiojplTMf66NHU3zC1skqtxXM/H8e1OyqM/uYQ/t+wVhzMbYdsbozFggULEBMTg/j4eKlDISIiIqIylFwQsXGAO36f1hX9WgZCo9XhzbVn8fb6s9AU6qQOkyzI5rpCeXt7Izc3F4WFhXB1dYWjo6PR9vT0dIkiqzx2hSIiIqK6RKcTEbv7Kj7fcRmiCLRv4I2vxz2EAE9nqUOjMth1V6gFCxZIHUK1lVwgj4iIiKiukMkEzHikCVrV88RLK0/hxI17GLxoP75+6iG0b+AjdXhUTTbXYmFP2GJBREREdVVcmgrP/nQcV1Jz4CgX8N7QVniyU33O+Gll6sTK27///jsuXLgAAGjVqhWGDh1qc+tYMLEgIiKiukylLsTra05jy9lkAMDYjmGY+59WUDjY1j2dPbPrxOLq1asYOHAgbt26hWbNmgEALl26hLCwMGzevBmNGjWSOMKKY2JBREREdZ0oivjm7+v4+K+LEEUgKswLXz/1EIKVLlKHRrDzxGLgwIEQRRHLly+Hj09RX7y7d+/iqaeegkwmw+bNmyWOsOKYWBAREREV+fvyHbz46z/IzCuAn7sTvhrXHp0iOO5CanadWLi5ueHw4cNo06aNUfnp06fRtWtX5OTYznLxTCyIiIiI7ku4m4tnfz6Oi8nZcJAJeHdIS4zv3IDjLiRUmftVm1vHQqFQIDs726Q8JycHTk5OEkRERERERJZQ39cV6154GEMiQ1CoE/Huhn/x2uozyC/gTJq2wOYSi8GDB+PZZ5/FkSNHIIoiRFHE4cOH8d///hdDhw6VOjwiIiIiqgZXJwcsHBuFdwa1gEwA1p68iVHfHMLV1GyEx2xGeMxmXL9jOz1U6hKb6wqVkZGBiRMn4o8//jAsjldYWIihQ4di6dKlUCqVEkdYcewKRURERFS2A1fTMH3FSdzLLYCrkxy5mqKWC5kAzBvRBmM61pc4Qvtnt2MsRFFEYmIi/P39cevWLcN0sy1atEDjxo0ljq7ymFgQERERle/mvVxMWXoMl1OMWynkgoD9Mb05e1QNs9sxFqIoonHjxrh58yYaN26MIUOGYMiQIZImFcOHD4e3tzcef/xxyWIgIiIisleh3q54a2ALk3KtKOLczUwJIqKy2FRiIZPJ0KRJE9y9e1fqUAxeeukl/PTTT1KHQURERGS3mgV5QGZmYqiXVp3C59svIzOvoPaDIhM2lVgAwPz58/H666/j3LlzUocCAOjVqxc8PDykDoOIiIjIbgUrXTB3aCvDc5kABCudkavRYuHOK+j+0S4s2nkFOepCCaMkm0ssJkyYgKNHjyIyMhIuLi7w8fEx+qmMvXv3YsiQIQgJCYEgCPj9999N6sTGxiI8PBzOzs6Ijo7G0aNHLfRKiIiIiKiixncJx6FZffDr1M44ENMHB97sg6/GPYQmAe7Iyi/EZ9svo/tHu/DN39eQq2GCIQUHqQOorAULFljsWCqVCpGRkZgyZQpGjBhhsn3VqlWYOXMmvvnmG0RHR2PBggXo378/Ll26hICAAIvFQUREREQPFqx0MRqsPbBNMPq3CsKmM7exYMcVxKWpMH/rRfywLw7P92qEcdH14ewolzDiusWmZoWqSYIgYP369Rg2bJihLDo6Gh07dsTixYsBADqdDmFhYZgxYwZiYmIM9fbs2YPFixdjzZo15Z5DrVZDrVYbnmdlZSEsLIyzQhERERFVU6FWh99P3caXOy8jMT0PABDoqcD03o0xumMYFA5MMKrCbmeFAoAtW7bgr7/+Minftm0btm7darHzaDQanDhxAn379jWUyWQy9O3bF4cOHarSMefNmwelUmn4CQsLs1S4RERERHWag1yGx9uHYtervTBvRBuEKJ2RkqXG7A3/os+nf2Pl0QQUaHVSh2nXbC6xiImJgVZruqy7TqczakWorrS0NGi1WgQGBhqVBwYGIjk52fC8b9++GDVqFLZs2YLQ0NByk45Zs2YhMzPT8JOYmGixeImIiIgIcJTL8ESn+tj9ei+8/59WCPBQ4FZGHmLWncUjn/2NtSduopAJRo2wuTEWV65cQcuWLU3KmzdvjqtXr9Z6PDt27KhwXYVCAYVCgdjYWMTGxppNkIiIiIio+hQOckzoEo7RHcLwy+Eb+Obva0hIz8Wrq08jds9VvPRIEwxpGwKZuXlsqUpsrsVCqVTi+vXrJuVXr16Fm5ubxc7j5+cHuVyOlJQUo/KUlBQEBQVV69jTpk3D+fPncezYsWodh4iIiIjK5+woxzPdG2LvG73x5mPN4eXqiOt3VHhp5Sk89uVebD2bBJ2OQ44tweYSi//85z94+eWXce3aNUPZ1atX8eqrr2Lo0KEWO4+TkxPat2+PnTt3Gsp0Oh127tyJLl26WOw8RERERFTzXJ0c8HyvRtj3Rm/MfLQpPJwdcDklB88vP4nBi/Zjx/kUcE6j6rG5xOLjjz+Gm5sbmjdvjoiICERERKBFixbw9fXFp59+Wqlj5eTk4NSpUzh16hQAIC4uDqdOnUJCQgIAYObMmfj++++xbNkyXLhwAc8//zxUKhUmT55crdcQGxuLli1bomPHjtU6DhERERFVjoezI158pAn2v9kHL/ZpDHeFA84nZeGZn45j2FcH8fflO0wwqsgmp5sVRRHbt2/H6dOn4eLigrZt26JHjx6VPs6ePXvQu3dvk/KJEydi6dKlAIDFixfjk08+QXJyMqKiorBw4UJER0dX9yUAqNz0XURERERkefdUGny79zqWHYxHXkHR+NcODbwxs19TPNzIT+LopFeZ+1WbTCzsBRMLIiIiIutwJ1uNb/6+hl8O34C6sGjWqC4NffFqv6boEO4jcXTSsbvEYuHChXj22Wfh7OyMhQsXllv3xRdfrKWoqq7krFCXL19mYkFERERkJVKy8hG7+ypWHk2Epnha2h5N/THz0aaICvOSNjgJ2F1iERERgePHj8PX1xcRERFl1hMEweyMUdaKLRZERERE1ulWRh4W77qK1ccTUVg8a9QjzQPwyqNN0bqeUuLoao/dJRb2iokFERERkXVLuJuLhbuuYN3Jm9DPSvtYqyC88mhTNAvykDa4WsDEwkYwsSAiIiKyDdfv5ODLnVew8fRtiCIgCMDgtiF4uW8TNPJ3lzq8GmPXiYUoilizZg12796N1NRU6HTGS7KvW7dOosgqjmMsiIiIiGzT5ZRsLNhxGVvOJgMAZAIwrF09vPRIEzTwtdxizdbCrhOLl156Cd9++y169+6NwMBACILxMuxLliyRKLLKY4sFERERkW3693Ymvth+BTsupAAA5DIBo9qHYnqfxgj1dpU4Osux68TCx8cHv/zyCwYOHCh1KNXGxIKIiIjItp1OzMAXOy5jz6U7AABHuYCxHetjWu/GCFI6Sxxd9VXmftXmVt5WKpVo2LCh1GEQERERESEyzAtLJ3fC2ue7oGtjXxRoRfx8+AZ6fLIb7/9xHqnZ+VKHWGtsrsVi2bJl+PPPP/Hjjz/CxcVF6nCqhGMsiIiIiOzT4et38fm2yzganw4AcHaUYWKXcDzXsxF83Jwkjq7y7LorVF5eHoYPH44DBw4gPDwcjo6ORttPnjwpUWSVx65QRERERPZHFEXsv5qGz7ZdxqnEDACAm5Mck7tGYGr3hlC6OpZ/gBJyNYVo+e5fAIDz7/eHq5NDTYRcpsrcr9ZuZBYwceJEnDhxAk899ZTZwdtERERERFISBAHdm/ijW2M/7L6Uis+3X8a5W1lYvPsqlh2KxzPdGmJKt3B4OFc8wbAFNpdYbN68GX/99Re6desmdShERERERGUSBAF9mgeid7MAbDufgi+2X8bF5Gx8seMylhyMw7M9GmJil3C4KWzultwsmxu8HRYWxm5DRERERGQzBEFA/1ZB2PJidyx+sh0a+bshI7cAH/95CT0+3o0f9l1HfoFW6jCrzeYSi88++wxvvPEG4uPjpQ6lymJjY9GyZUt07NhR6lCIiIiIqJbIZAIGtw3Btld64osxkQj3dcVdlQb/t/kCun+8G8sOxkNdaLsJhs0N3vb29kZubi4KCwvh6upqMng7PT1dosgqj4O3iYiIiOquQq0O607ewsJdV3DzXh4AIFjpjOl9GmNU+zA4Ocg4eLsmLViwQOoQiIiIiIiqzUEuw+iOYRjWrh5Wn0jE4l1XkZSZj7fXn8PXe67hxUea4LFWgYb6yZn5aOjvLmHE5bO5Fgt7whYLIiIiItLLL9Bi5dEExO65hjvZagCAj5sT0lUaAIBMAOaNaIMxHevXWkx2t/K2SqWq0fpERERERFJzdpRjUtcI7H29N94e2AJeLo6GpAIAdCLw1rpzSMrMkzDKstlEYtG4cWPMnz8fSUlJZdYRRRHbt2/HgAEDsHDhwlqMjoiIiIjIclyc5JjaoyE+HxNpsk0riohPy5UgqgeziTEWe/bswVtvvYX33nsPkZGR6NChA0JCQuDs7Ix79+7h/PnzOHToEBwcHDBr1iw899xzUodMRERERFQtLYI9IROKWir05IKAcD9X6YIqh02NsUhISMDq1auxb98+3LhxA3l5efDz80O7du3Qv39/DBgwAHK5XOowHyg2NhaxsbHQarW4fPkyx1gQERERkVk/H4rH7A3/ArD+MRY2lVjYGw7eJiIiIqLylJxudterPWt9Vii7G7xNRERERFTXBSmdpQ6hXEwsiIiIiIio2phYEBERERFRtTGxICIiIiKiamNiQURERERE1WYT61icOXOmwnXbtm1bg5EQEREREZE5NpFYREVFQRAElDUzrn6bIAjQarW1HB0REREREdlEYhEXFyd1CBZVcoE8IiIiIiJ7YBOJRYMGDaQOwaKmTZuGadOmGRYcISIiIiKydTaRWJR26dIlLFq0CBcuXAAAtGjRAjNmzECzZs0kjoyIiIiIqG6yuVmh1q5di9atW+PEiROIjIxEZGQkTp48idatW2Pt2rVSh0dEREREVCfZXIvFG2+8gVmzZuH99983Kp8zZw7eeOMNjBw5UqLIiIiIiIjqLkEsa6olK+Xq6oozZ86gcePGRuVXrlxBZGQkcnNzJYqs8vRjLDIzM+Hp6Sl1OERERERERipzv2pzXaF69eqFffv2mZTv378f3bt3lyAiIiIiIiKyua5QQ4cOxZtvvokTJ06gc+fOAIDDhw9j9erVmDt3LjZu3GhUl4iIiIiIap7NdYWSySrWyGILi+WxKxQRERERWbPK3K/aXIuFTqeTOgQiIiIiIirF5hILczIyMuDl5SV1GJWmbyzKysqSOBIiIiIiIlP6+9SKdHKyucTio48+Qnh4OMaMGQMAGDVqFNauXYvg4GBs2bIFkZGREkdYcdnZ2QCAsLAwiSMhIiIiIipbdnY2lEpluXVsboxFREQEli9fjocffhjbt2/H6NGjsWrVKvz2229ISEjAtm3bpA6xwnQ6HW7fvg0PDw8IgvDA+h07dsSxY8cqdOwH1c3KykJYWBgSExPr5PiOyryXtaG24rH0eSxxvKoco7L7WPLaAer29cNrx3qOV9Vj1NT1w2unfNZ27QC1E1NNnKO6x+S1UzmiKCI7OxshISEPHOtscy0WycnJhm/4N23ahNGjR6Nfv34IDw9HdHS0xNFVjkwmQ2hoaIXry+XyCn+YKlrX09Ozzv1xByr3XtaG2orH0uexxPGqcozK7lMT1w5QN68fXjvWc7yqHqOmrh9eO+WztmsHqJ2YauIc1T0mr53Ke1BLhZ7NrWPh7e2NxMREAMCff/6Jvn37AijKpqx9FqjqmjZtWo3UrYus7f2prXgsfR5LHK8qx6jsPrx2LMfa3h9eOzW/X0XrW9tnw9pY4/tTGzHVxDmqe0xeOzXH5rpCTZ8+HZs2bUKTJk3wzz//ID4+Hu7u7li5ciU+/vhjnDx5UuoQbQKnuiWqOl4/RFXDa4eoamzl2rG5rlBffPEFwsPDkZiYiI8//hju7u4AgKSkJLzwwgsSR2c7FAoF5syZA4VCIXUoRDaH1w9R1fDaIaoaW7l2bK7FgoiIiIiIrI9NtFhs3LgRAwYMgKOjIzZu3Fhu3aFDh9ZSVEREREREpGcTLRYymQzJyckICAgod5orQRDsfgA3EREREZE1sonEgoiIiIiIrJvNTTdLRERERETWxybGWOjpdDosXboU69atQ3x8PARBQEREBB5//HGMHz++QqtXExERERGR5dlMi4Uoihg6dCieeeYZ3Lp1C23atEGrVq1w48YNTJo0CcOHD5c6RLuyadMmNGvWDE2aNMEPP/wgdThENmP48OHw9vbG448/LnUoRDYjMTERvXr1QsuWLdG2bVusXr1a6pCIbEJGRgY6dOiAqKgotG7dGt9//72k8djMGIslS5bgpZdewoYNG9C7d2+jbbt27cKwYcOwePFiTJgwQaII7UdhYSFatmyJ3bt3Q6lUon379jh48CB8fX2lDo3I6u3ZswfZ2dlYtmwZ1qxZI3U4RDYhKSkJKSkpiIqKQnJyMtq3b4/Lly/Dzc1N6tCIrJpWq4VarYarqytUKhVat26N48ePS3bPZjMtFr/++iveeustk6QCAPr06YOYmBgsX75cgsjsz9GjR9GqVSvUq1cP7u7uGDBgALZt2yZ1WEQ2oVevXvDw8JA6DCKbEhwcjKioKABAUFAQ/Pz8kJ6eLm1QRDZALpfD1dUVAKBWqyGKIqRsM7CZxOLMmTN47LHHytw+YMAAnD59uhYjsl579+7FkCFDEBISAkEQ8Pvvv5vUiY2NRXh4OJydnREdHY2jR48att2+fRv16tUzPK9Xrx5u3bpVG6ETSaq61w5RXWXJa+fEiRPQarUICwur4aiJpGeJaycjIwORkZEIDQ3F66+/Dj8/v1qK3pTNJBbp6ekIDAwsc3tgYCDu3btXixFZL5VKhcjISMTGxprdvmrVKsycORNz5szByZMnERkZif79+yM1NbWWIyWyLrx2iKrGUtdOeno6JkyYgO+++642wiaSnCWuHS8vL5w+fRpxcXFYsWIFUlJSait8U6KNkMlkYmpqapnbk5OTRZlMVosR2QYA4vr1643KOnXqJE6bNs3wXKvViiEhIeK8efNEURTFAwcOiMOGDTNsf+mll8Tly5fXSrxE1qIq147e7t27xZEjR9ZGmERWp6rXTn5+vti9e3fxp59+qq1QiaxKdf7f0Xv++efF1atX12SY5bKZ6WZFUcSkSZOgUCjMbler1bUckW3SaDQ4ceIEZs2aZSiTyWTo27cvDh06BADo1KkTzp07h1u3bkGpVGLr1q2YPXu2VCETWYWKXDtEZKoi147+//g+ffpg/PjxUoVKZFUqcu2kpKTA1dUVHh4eyMzMxN69e/H8889LFbLtrGMxceLEB9bhjFAPlpaWBq1Wa9KtLDAwEBcvXgQAODg44LPPPkPv3r2h0+nwxhtvcEYoqvMqcu0AQN++fXH69GmoVCqEhoZi9erV6NKlS22HS2Q1KnLtHDhwAKtWrULbtm0Nfcx//vlntGnTprbDJbIaFbl2bty4gWeffdYwaHvGjBmSXjc2k1gsWbJE6hDqlKFDh2Lo0KFSh0Fkc3bs2CF1CEQ2p1u3btDpdFKHQWRzOnXqhFOnTkkdhoHNDN4my/Dz84NcLjcZ2JOSkoKgoCCJoiKyfrx2iKqG1w5R1djitcPEoo5xcnJC+/btsXPnTkOZTqfDzp072V2DqBy8doiqhtcOUdXY4rVjM12hqOJycnJw9epVw/O4uDicOnUKPj4+qF+/PmbOnImJEyeiQ4cO6NSpExYsWACVSoXJkydLGDWR9HjtEFUNrx2iqrG7a0ey+aioxuzevVsEYPIzceJEQ51FixaJ9evXF52cnMROnTqJhw8fli5gIivBa4eoanjtEFWNvV07gihKuO43ERERERHZBY6xICIiIiKiamNiQURERERE1cbEgoiIiIiIqo2JBRERERERVRsTCyIiIiIiqjYmFkREREREVG1MLIiIiIiIqNqYWBARERERUbUxsSAiIiIiompjYkFERERERNXGxIKIiIiIiKqNiQUREREREVUbEwsiIiIiIqo2JhZERERERFRtTCyIiIiIiKjamFgQEREREVG1MbEgIiIiIqJqY2JBRERERETV5iB1AHWZTqfD7du34eHhAUEQpA6HiIiIiMiIKIrIzs5GSEgIZLLy2ySYWFhAbGwsPvnkEyQnJyMyMhKLFi1Cp06dHrjf7du3ERYWVgsREhERERFVXWJiIkJDQ8utw8SimlatWoWZM2fim2++QXR0NBYsWID+/fvj0qVLCAgIKHdfDw8PAEX/UJ6enrURLhERERFRhWVlZSEsLMxw31oeQRRFsRZislvR0dHo2LEjFi9eDKCoe1NYWBhmzJiBmJiYcvfNysqCUqlEZmYmEwsiIiIisjqVuV/l4O1q0Gg0OHHiBPr27Wsok8lk6Nu3Lw4dOiRhZEREREREtYtdoaohLS0NWq0WgYGBRuWBgYG4ePGiSX21Wg21Wm14npWVVeMxEhERERHVBrZY1KJ58+ZBqVQafjhwm4io7knKzMPBa2lIysyTOhQiIotii0U1+Pn5QS6XIyUlxag8JSUFQUFBJvVnzZqFmTNnGp7rB8MQEdmCpMw8xKWpEOHnhmCli9ThWA1RFKHVidCKInQ6QCfqHxeV68TiMp2INScS8fn2KwAAmQC8OaA5hrerBweZDHKZAAeZAHnxj4NMsLupyKv7GbL0Z5CfaSLLYmJRDU5OTmjfvj127tyJYcOGASgavL1z505Mnz7dpL5CoYBCoajlKImIqk5dqEVmXgF+PnQDi3ZdBQAIAjDp4XB0b+IHbfGNtK74xrroRrroBltbolwnosSNtlh8o33/htv4GMbHNHcMrShCFFHihr6MY+of6+MpdR7jpKDoHFqdWOoYxWWGOO4fT6ur+vwnOhGYt+Ui5m0x7TqrJxNgnHTI7ycf5pKRks8N2+VllOufywXIBP1zmZn6xeUl6uvLZYL+uaxUfdPzb/s3Gd/8fd3wGXrpkSZ4rHUQBAgQBEAoLofRc8FQ/vs/t/DFjvtJ2TuDWmJ0xzA4ygU4ymSQySqXhK06loBZ685CJxYdb96INhjTsX6l/x1LJydMVqgu46xQ1bRq1SpMnDgR3377LTp16oQFCxbgt99+w8WLF03GXpTGWaGIqDYUanXIyi9EZl4BMnI1yMwruP+TW/Q7w0xZZl4B8gq0Uodv8wQBkBXfIBeaSUQEAPyPuPrkMqEoyZDLin+KHjvJi5IlfbmTXAYddDgen2G0v4CihDlQ6Qw3hQPcFXK4KxzhppDDXeFQXFb029VRDplMwM+H4jF7w78AipKTQW2C8ceZJMNzfbLCZINsWWXuV5lYWMDixYsNC+RFRUVh4cKFiI6OfuB+TCyIqKJ0OhHZ6kJk5RUgo8SNf0aexmxCoK+TlVeAbHVhjcQU4ecGTxdHyItvnGUyAXKh6NtpQSi60ZOXKJfJiurpywVBgFxWVE9fLhP0jwGZvtzo2Cjer2R5ibqGY8PwDf79Y98/v/GxUSLukseGUVxlHVtW/Nzk9Zc4JlD0zXbX+btQMreQCwL2x/RGoIezoQWkUCdCqxVRqNPdL9OW2KYr3lbyuda4XKsrXV+EVqczU9+43HQ/XYXOb/Zc2vvbctSFSM1Wm3yGPJ0d4CCXQRRFiABEEYbH+mxLRFFynF+oq5HPcVW5OMqQV/DgmJoEuOFKqgpA9VpGiKTCxMJGMLEgsk1V/fZRFEXkarRmb/71CULJpKHkT1ZegdENaVW4KxygdHGEp4sjvFwcodT/uJZ47OIIrxLPvVyckK0uQI+Pd5u9Iea3r5Wz6lgC3lp3DlpRhFwQ8OGI1nXiJrO8pKoinyFz+8sEYNerveDj7oSCwqLkSFOoQ4HW+HGBVkShVgdN8eMCrQ53svPx3sbzRi1FAoARD9WDCEClLoRKrUWOurD4cWHRY422Wt3fgKIWrF+ejoYgFCXnABCXpoKbkxwqjZatGmR1KnO/yjEWRESVULLrgyAAz/VoiA4NfIy6E2WV6nKUUVyWmVeAAm31bkqcHWVGN/2e5pIBV8f75cW/PV0c4Siv2kSASldHzBvRxuSGmDc/lTemY330aOqP+LRchPu51pn3MFjpUq3PUFn7hxffmFeFs6O80kmeKIpQF+qQoy5EXFoORn97GOV9PWuum5soAuN+OFLuPlO7R2Byt4g68/kg+8EWCwmxxYKo9ul0InI0hcjOL+pWlJVXUPQ4v8BQpu9ypC/Pyi9Edl4B7uUW4F6uptoxOMoFsy0HXq5OJgmB0tU4OXB2lFvgXaiapMy8OndDTJZV3c+QpT+D1T1e6RaoYe1C8Ps/tw3P33isGT7682KVWhuZYJC1YFcoG8HEgqjy1IXa+wlAqYTAKDkokRSUfJ6jLiz3G8aqaOTnhhBvF3i5OkHp4mBoTTAkD6VaE1wc5XY3jShRXVU6OSn9vGTyIQNQ2ZEiHJdBUmNiYSOYWJAtq8o4A51OhEpTWNQCkF+ArLzi30bJwf1thtaCEnXVFhrA6SSXwdPFEZ7ODvAo/u3p7AgPZwd4ujjCQ1H8u0S5ulCHSUuOcqwBEVWKPtlwdZJh+FcHK92Cwb8zJKU6PcZCrVZzrQiiGrb0QBze++M8gPsDHpsHeRYnCcUJQV6p7kX5RV2MLPVVRukbf08XB3g4FycKRs9LJAslkoSqdiniWAMiqqxgpYvh70TJvyHFy3Y88O+iVhQRn5bLvzVk9Wy+xWLr1q1YuXIl9u3bh8TEROh0Ori5uaFdu3bo168fJk+ejJCQEKnDNIstFmTttDoRiem5uJySjSupObicko1/b2fhampOtY5b1FpwPxEofdNvnAyYJgvuCgfIK7kYliVxrAERVUfJvyEADK0Zm88k4/t9100GfMsE4EBMH/69IUnUia5Q69evx5tvvons7GwMHDgQnTp1QkhICFxcXJCeno5z585h3759OHToECZNmoT/9//+H/z9/aUO2wgTC7IWOp2IWxl5uJScjcup2biSUpREXE3NqXDXo26N/dDQ363MFoKSz6UcgExEZM2SMvOwZH88fth/3dBlKirMC2881oxT0ZIk6kRi0aVLF7zzzjsYMGAAZLKyp1C8desWFi1ahMDAQLzyyiu1GOGDMbGg2iaKRQmEPnG4nJKDK8WJRFkrLCscZGgc4I6mgR5oEugOPzcFYtad4TgDIqIalJSZhz9O38aHWy4ayjiQm6RQJxILe8DEgmqKKIpIzsovShxSsotbInJwNSUbKo35BMJJLkNDfzc0DfRA00B3NAn0QLNAD4T5uJp0O6qri3wREdWmpMw8PDxvl1HXKH6RQ7WtTg/eBgCtVouzZ8+iQYMG8Pb2ljocohojiiJSs9X3Wx9Ssg3jIbLzC83u4ygXEOGnTyDuJxENfFzhUMEF1OrqIl9ERLUpLk1lMt6CA7nJmtlFYvHyyy+jTZs2ePrpp6HVatGzZ08cPHgQrq6u2LRpE3r16iV1iETVIooi0nI0hsThcmoOLicXJRCZeQVm95HL9AmEO5oE3E8iwv3cqrwCc0klZzkhIiLLi/Bzg0yASddT/aBvImtjF4nFmjVr8NRTTwEA/vjjD8TFxeHixYv4+eef8fbbb+PAgQMSR0hUcXdz1IaxDyVbIu7lmk8gZAIQ7uuGJoHuJVohPBDh5wYnh+onEEREJI1gpQvmjWiDWevOGpILTnFN1swuEou0tDQEBQUBALZs2YJRo0ahadOmmDJlCr788kuJoyMyLyNXg8vFg6ivlBhInZajMVtfEIAGPq5oUtzy0DTQA00CPNDQ342zLBER2akxHevDz12Bp5cdh5+7E8ezkVWzi8QiMDAQ58+fR3BwMP788098/fXXAIDc3FzI5bzhImll5RcYEodLydnFLRE5uJOtLnOfMB8XNA3wMEoiGvm7w8WJn2ciorqmTagSAHBXpUGBVmeR7qxENcEuEovJkydj9OjRCA4OhiAI6Nu3LwDgyJEjaN68ucTRUV2RnV+AK6k5hiSiqCUiB8lZ+WXuU8/LBU0C3dEs8H4S0TjAHa5OdnFpEhGRBfi5KeAoF1CgFZGSlY9Qb46xIOtkF3cv7733Hlq3bo3ExESMGjUKCoUCACCXyxETEyNxdGRvVOpCXC1ehfpKanErREo2bmeWnUAEK52LEocS60E0CfSAu8IuLkEiIqpBMpmAIKUzEtPzkJTJxIKsl93c1Tz++OMmZRMnTpQgErIXeRqtIYEouRr1zXt5Ze4T4KEwJA76Vogmge7wdHasxciJiMjeBCtdkJieh9sZZf8fRCQ1u0ksdu7ciZ07dyI1NRU6nc5o248//ihRVGQL8gu0uHYnx2Q16oT0XJS1fKSfu+L+AGr9bEwBHlC6MoEgIiLLC1E6AwCSymkdJ5KaXSQWc+fOxfvvv48OHToYxlkQlaYu1CIuTVXcdel+V6Ybd1VGc4SX5OPmhCYB7kYLyTUN9ICPm1PtBk9ERHVasFfRFLNJbLEgK2YXicU333yDpUuXYvz48VKHQlagQKtDXJrKZDXq+Lu50JaRQShdHIu7Lhm3Qvi5K2o5eiIiIlP6FovyxvMRSc0uEguNRoOHH35Y6jColhVqdYi/m4srKdm4lHK/FSIuTYXCMhIID2eH+60PJVaj9vdQsKWLiIisln5RvKRMtliQ9bKLxOKZZ57BihUrMHv2bKlDoRqg1Ym4cVd1v/WheErX63dU0Gh1ZvdxVzigcYC7YRyE/ifQkwkEERHZnmCv4jEWGWyxIOtlF4lFfn4+vvvuO+zYsQNt27aFo6PxANrPP/9cosioMnQ6EYn3ck1Wo756JweaQvMJhKuTHE0C3A1rQOjHQIQonZlAEBGR3QgpbrG4q9Igv0ALZ0cumErWxy4SizNnziAqKgoAcO7cOaNtvLm0PjqdiFsZecZjIFKzcTU1B/kF5hMIZ0dZUQtEqdWo63m5QCbjvzEREdk3L1dHODvKkF+gQ3JmPsL93KQOiciEXSQWu3fvljoEMkMURdzOzDdqfbhSPBNTrkZrdh8nBxka+7sbtT40DXRHqLcr5EwgiIiojhIEASFeLrh+R4XbmXlMLMgq2UViQdISRREpWeriFohsQ0vE1dQc5KgLze7jJJehob+bYTVqfStEA183JhBERERmhCiLEguOsyBrZTeJxfHjx/Hbb78hISEBGo3GaNu6dessfr4PPvgAmzdvxqlTp+Dk5ISMjAyLn8PaiKKIO9nq+2MgUrMNj7PzzScQDjIBEX5uJQZQFyUR4b6ucJDLavkVEBER2a5gwyJ5nBmKrJNdJBYrV67EhAkT0L9/f2zbtg39+vXD5cuXkZKSguHDh9fIOTUaDUaNGoUuXbrgf//7X42co6bkagrR8t2/AAC7Xu2Jhv7uJnXSctTFXZhyjFohMvMKzB5TLhMQ7utavAbE/TEQ4b5ucHJgAkFERFRd+kXyuJYFWSu7SCw+/PBDfPHFF5g2bRo8PDzw5ZdfIiIiAs899xyCg4Nr5Jxz584FACxdurRGjl+T1p64aXjc9/O/8Uz3hgjzdinREpGDdJXG7L4yAWjg62ZYjbpJoDuaBXkgws8NCgfOUEFERFRT9IvkcfVtslZ2kVhcu3YNgwYNAgA4OTlBpVJBEAS88sor6NOnjyEJkJparYZarTY8z8rKqvUYkjLzMGfjv4bnOhH4bu91k3qCANT3cS1eRO5+EtHI351T3BEREUlA32KRxBYLslJ2kVh4e3sjOzsbAFCvXj2cO3cObdq0QUZGBnJzcyWO7r558+ZJnuTEpalgblHqdmFe6NTQB02LV6NuHOAOFycmEERERNZC32Jxmy0WZKXsovN7jx49sH37dgDAqFGj8NJLL2Hq1Kl44okn8Mgjj1T4ODExMRAEodyfixcvVjnOWbNmITMz0/CTmJhY5WNVVYSfG0pPuiQXBHz11EOYNaAFRrYPRZtQJZMKIiIiK6NvscjKLyxz1kUiKdlFi8XixYuRn1/ULPj222/D0dERBw8exMiRI/HOO+9U+DivvvoqJk2aVG6dhg0bVjlOhUIBhUJR5f0tIVjpgrlDW2H2hqLuUDIB+HBEawQXr+hJRERE1sld4QAPZwdk5xciKSMPTQI9pA6JyIhdJBY+Pj6GxzKZDDExMVU6jr+/P/z9/S0VltUa3yUcfVsGIj4tF+F+rkwqiIiIbESI0gWX8rNxOzOfiQVZHZtNLLKysuDp6Wl4XB59PUtKSEhAeno6EhISoNVqcerUKQBA48aN4e5uOn2rtQlWujChICIisjHBXs64lJLNmaHIKtlsYuHt7Y2kpCQEBATAy8sLgmC6WrMoihAEAVqt1uLnf/fdd7Fs2TLD83bt2gEAdu/ejV69eln8fERERET6LwW5lgVZI5tNLHbt2mXoArV79+5aP//SpUttcg0LIiIisl1cy4Ksmc0mFj179jT7mIiIiMhecS0LsmY2m1icOXOmwnXbtm1bg5EQERER1Q7DWhaZbLEg62OziUVUVBQEQTCMoyhPTYyxICIiIqpthhaLjPwK3QMR1SabXSAvLi4O169fR1xcHNauXYuIiAh89dVX+Oeff/DPP//gq6++QqNGjbB27VqpQyUiIiKyiODiFou8Ai0y8wokjobImM22WDRo0MDweNSoUVi4cCEGDhxoKGvbti3CwsIwe/ZsDBs2TIIIiYiIiCzL2VEOHzcnpKs0uJ2RDy9XJ6lDIjKw2RaLks6ePYuIiAiT8oiICJw/f16CiIiIiIhqhr7VIonjLMjK2EVi0aJFC8ybNw8ajcZQptFoMG/ePLRo0ULCyIiIiIgsi2tZkLWy2a5QJX3zzTcYMmQIQkNDDTNAnTlzBoIg4I8//pA4OiIiIiLLCfHiWhZknewisejUqROuX7+O5cuX4+LFiwCAMWPG4Mknn4Sbm5vE0RERERFZjr7FgmtZkLWxi8QCANzc3PDss89KHQYRERFRjdK3WNxmiwVZGbtJLADg/PnzSEhIMBprAQBDhw6VKCIiIiIiy2KLBVkru0gsrl+/juHDh+Ps2bOGRfMAGBaN4QJ5REREZC/0s0IlZ+ZDpxMhk3GRPLIOdjEr1EsvvYSIiAikpqbC1dUV//77L/bu3YsOHTpgz549UodHREREZDFBSmcIAqDR6nBXpXnwDkS1xC4Si0OHDuH999+Hn58fZDIZZDIZunXrhnnz5uHFF1+UOjwiIiIii3GUy+DvrgDAtSzIuthFYqHVauHh4QEA8PPzw+3btwEUrc596dIlKUMjIiIisrhgr+K1LDI4zoKsh12MsWjdujVOnz6NiIgIREdH4+OPP4aTkxO+++47NGzYUOrwiIiIiCwqROmM04lssSDrYheJxTvvvAOVSgUAeP/99zF48GB0794dvr6+WLVqlcTREREREVkWZ4Yia2QXiUX//v0Njxs3boyLFy8iPT0d3t7ehpmhiIiIiOwF17Iga2TzYywKCgrg4OCAc+fOGZX7+PgwqSAiIiK7xBYLskY2n1g4Ojqifv36XKuCiIiI6ozg4haLJLZYkBWx+cQCAN5++2289dZbSE9PlzoUIiIiohoXUtxikZKthlYnShwNURG7GGOxePFiXL16FSEhIWjQoAHc3NyMtp88eVKiyIiIiIgsz99DAQeZgEKdiNTsfEPXKCIp2UViMWzYMKlDICIiIqo1cpmAQE9n3MrIw+0MJhZkHewisZgzZ47UIRARERHVqmBlUWJRtJaFt9ThENnuGAtRZH9CIiIiqrv0q28ncfVtshI2m1i0atUKK1euhEajKbfelStX8Pzzz2P+/PkWPX98fDyefvppREREwMXFBY0aNcKcOXMeGA8RERGRJYQoi9ey4OrbZCVstivUokWL8Oabb+KFF17Ao48+ig4dOiAkJATOzs64d+8ezp8/j/379+Pff//F9OnT8fzzz1v0/BcvXoROp8O3336Lxo0b49y5c5g6dSpUKhU+/fRTi56LiIiIqLRgpX7KWbZYkHUQRBvvU7R//36sWrUK+/btw40bN5CXlwc/Pz+0a9cO/fv3x7hx4+DtXTv9Dj/55BN8/fXXuH79eoXqZ2VlQalUIjMzE56enjUcHREREdmTv/5NxnM/n0BkqBIbpneTOhyyU5W5X7XZFgu9bt26oVs367iYMjMz4ePjI3UYREREVAfo17K4zdW3yUrYfGJhLa5evYpFixaV2w1KrVZDrVYbnmdlZdVGaERERGSH9Ktvp+WooSnUwcnBZofOkp3gJ7CUmJgYCIJQ7s/FixeN9rl16xYee+wxjBo1ClOnTi3z2PPmzYNSqTT8hIWF1fTLISIiIjvl6+YEJwcZRBFIyWKrBUnP5sdYWNqdO3dw9+7dcus0bNgQTk5OAIDbt2+jV69e6Ny5M5YuXQqZrOxczVyLRVhYGMdYEBERUZX0/GQ3btzNxapnOyO6oa/U4ZAdqlNjLCzN398f/v7+Fap769Yt9O7dG+3bt8eSJUvKTSoAQKFQQKFQWCJMIiIiIgQrnXHjbi6SOM6CrAATiyq6desWevXqhQYNGuDTTz/FnTt3DNuCgoIkjIyIiIjqivsDuLmWBUnPbhKLa9euYcmSJbh27Rq+/PJLBAQEYOvWrahfvz5atWpl8fNt374dV69exdWrVxEaGmq0jb3LiIiIqDboB3BzLQuyBnYxePvvv/9GmzZtcOTIEaxbtw45OTkAgNOnT2POnDk1cs5JkyZBFEWzP0RERES1Ibi4xSKJLRZkBewisYiJicH//d//Yfv27YZB1QDQp08fHD58WMLIiIiIiGpOSHGLxW22WJAVsIvE4uzZsxg+fLhJeUBAANLS0iSIiIiIiKjmscWCrIldJBZeXl5ISkoyKf/nn39Qr149CSIiIiIiqnn6wdv3cguQp9FKHA3VdXaRWIwdOxZvvvkmkpOTIQgCdDodDhw4gNdeew0TJkyQOjwiIiKiGuHp4gBXJzkAtlqQ9Owisfjwww/RvHlzhIWFIScnBy1btkSPHj3w8MMP45133pE6PCIiIqIaIQgCgpXFM0NxLQuSmF1MN+vk5ITvv/8e7777Ls6ePYucnBy0a9cOTZo0kTo0IiIiohoV4uWCa3dUuJ3BFguSll0kFnphYWEICwuDVqvF2bNnce/ePXh7e0sdFhEREVGNYYsFWQu76Ar18ssv43//+x8AQKvVomfPnnjooYcQFhaGPXv2SBscERERUQ3izFBkLewisVizZg0iIyMBAH/88QeuX7+Oixcv4pVXXsHbb78tcXRERERENYdrWZC1sIvEIi0tDUFBQQCALVu2YPTo0WjatCmmTJmCs2fPShwdERERUc0J8WKLBVkHu0gsAgMDcf78eWi1Wvz555949NFHAQC5ubmQy+USR0dERERUcwxdodhiQRKzi8HbkydPxujRoxEcHAxBENC3b18AwJEjR9C8eXOJoyMiIiKqOfquUNnqQmTnF8DD2VHiiKiusovE4r333kPr1q2RmJiIUaNGQaFQAADkcjliYmIkjo6IiIio5rg6OcDD2QHZ+YU4czMTXRv7SR0S1VGCKIqi1EHUVVlZWVAqlcjMzISnp6fU4RAREZEN+vlQPGZv+BcAIACYP7INxnSsL21QZDcqc79qFy0WAKBSqfD3338jISEBGo3GaNuLL74oUVRERERENScpMw9zNv5reC4CeGvdOfRo6m8Ye0FUW+wisfjnn38wcOBA5ObmQqVSwcfHB2lpaXB1dUVAQAATCyIiIrJLcWkq6Er1PdGKIuLTcplYUK2zi1mhXnnlFQwZMgT37t2Di4sLDh8+jBs3bqB9+/b49NNPpQ6PiIiIqEZE+LlBJhiXyQQg3M9VmoCoTrOLxOLUqVN49dVXIZPJIJfLoVarERYWho8//hhvvfWW1OERERER1YhgpQvmjWgDuXA/u3isdRBbK0gSdpFYODo6QiYreikBAQFISEgAACiVSiQmJkoZGhEREVGNGtOxPvbH9MbU7hEAgIvJ2eDcPCQFu0gs2rVrh2PHjgEAevbsiXfffRfLly/Hyy+/jNatW0scHREREVHNCla64MVHmsDFUY7rd1Q4ceOe1CFRHWQXicWHH36I4OBgAMAHH3wAb29vPP/887hz5w6+++47iaMjIiIiqnkezo4Y1LbofmjVMfbYoNrHdSwkxHUsiIiIyJKOxadj1DeH4Ookx9G3+8JdYRcTgJKEKnO/ahctFkREREQEdGjgjYb+bsjVaLHp9G2pw6E6xi4Si5SUFIwfPx4hISFwcHCAXC43+iEiIiKqCwRBwOgOYQCAVcfZHYpql120j02aNAkJCQmYPXs2goODIQjCg3ciIiIiskMjHqqHT/66hH8SMnAlJRtNAj2kDonqCLtILPbv3499+/YhKipK6lCIiIiIJBXg4YxHmgdg2/kUfLH9MmYPacl1LahW2EVXqLCwMEnmax46dCjq168PZ2dnBAcHY/z48bh9m/0ZiYiISFr+HgoAwJZzyeg6fxdWHUuQOCKqC+wisViwYAFiYmIQHx9fq+ft3bs3fvvtN1y6dAlr167FtWvX8Pjjj9dqDEREREQlJWXm4dej9xMJnQi8te4ckjLzJIyK6gKb7Qrl7e1tNJZCpVKhUaNGcHV1haOjo1Hd9PT0GonhlVdeMTxu0KABYmJiMGzYMBQUFJjEQERERFQb4tJU0JXqyKEVRZyIvwcfdxUi/NzYNYpqhM0mFgsWLJA6BCPp6elYvnw5Hn74YSYVREREJJkIPzfIBJgkFzN+/QciAJkAzBvRBmM61pckPrJfXCCvmt58800sXrwYubm56Ny5MzZt2gRfX1+zddVqNdRqteF5VlYWwsLCuEAeERERWdSqYwl4a905aMu4zZMBWPhkO7Rv4M3WCypXnVkgT6fT4aOPPkLXrl3RsWNHxMTEIC+vev0HY2JiIAhCuT8XL1401H/99dfxzz//YNu2bZDL5ZgwYUKZA8nnzZsHpVJp+AkLC6tWrERERETmjOlYH/tjeuPXqZ2xcGyUyXYdgOkr/uHAbrIom26x+H//7//hvffeQ9++feHi4oK//voLTzzxBH788ccqH/POnTu4e/duuXUaNmwIJycnk/KbN28iLCwMBw8eRJcuXUy2s8WCiIiIaltSZh66zt9l0jWqpGm9GmFwZAiaB3lAEAQkZeYhLo3jMahyLRY2nVg0adIEr732Gp577jkAwI4dOzBo0CDk5eVBJqv9xpiEhAQ0aNAAu3fvRq9evR5YvzL/UERERERV9aCuUXqBngqEeLngn4QMAByPQXUosVAoFLh69apRlyJnZ2dcvXoVoaGhNXruI0eO4NixY+jWrRu8vb1x7do1zJ49GykpKfj333+hUCgeeAwmFkRERFRbkjLzcCL+Hl5c+Y9R64UgAJ0jfPBPYgbyC3Rm9538cDg6RfigRbAn6vu4QiYTzNYj+1OZ+1WbnRUKAAoLC+Hs7GxU5ujoiIKCgho/t6urK9atW4c5c+ZApVIhODgYjz32GN55550KJRVEREREtSlY6YLBkS5QaQoNrRdyQcCHI1pjTMf6yC/QYtnBeMzbetFk3yUH47HkYDwAwM1JjubBnmgZ7IkWwZ5oGeKJZoEecHGSG+3D7lR1j023WMhkMgwYMMDoRv6PP/5Anz594ObmZihbt26dFOE9EFssiIiISApJmXmIT8tFuJ+r0U2/ufEYggAMbhOMG+m5uJicDU2haauGTCia5lafaCRl5OHnwwmGbexOZbvqTFeoyZMnV6jekiVLajiSqmFiQURERNam5HiMki0aAFCo1SEuTYXzSVk4fzsL55OycCEpC2k5mgce99EWgajn7QI/dyf4uCng6+4EXzcn+Lor4OPmBE9nB6PFj0vL1RSi5bt/AQB2vdoTDf3dLfOCrVzJ133+/f5wdardDkd1JrGwdUwsiIiIyBqV1aJRltTsfJy/nYULSdnYe+UODl0rf4ZNcxzlAnzcnOBbIukomYCcuZmJFUeLWkEEAXijfzOMfCgUCgc5FI4yOMlldjn2g4kFVQgTCyIiIrI3ZXWnmtG7MQp1Iu7maHBXpcZdlQZ3czRIV2mQoy60yLkd5QIUDnI4OcigKP4peiwv8VhmlIwoHGWl9iljf0cZFBWo7yC37MykUrfU1JnB20RERERkXYKVLpg7tBVmb/gXQMXGWOQXaJFenGjcVakNCUeaSo30HA2upubgn8SMB567QCuiQFsIqB9YtcbIZUKJhKXsxMbsY0PyIjckKidu3DMcu+/nf1v1eBW2WEiILRZERERkryrbnepBxyrdCiIXBOx7sxf8PZyhLtRBXaCFRquDukAHdaEOmkId1IVak8eGnwrW1xj20d5/XKAr3reoTmF5qw9amFwQsD+md63NtMUWCyIiIiKSVLDSxWI3v+ZaQT4c0RohXq4AAEe5DO4K6W5rtTrRbGKSb0hASiUmZSUypeonZebhSNw943OJIuLTcq1yCl8mFkRERERk9cZ3CUffloEWawWxJLlMgIuT3GQtj+oqq6Um3M/VouexFMuOLiEiIiIiqiHBShd0aeRrVUlFTdK31OjpW2qs9fUzsSAiIiIislIj24caHu+Y2dNqB24D7ApFRERERGS1XJ0cED9/kNRhVAhbLIiIiIiIqNqYWBARERERUbUxsSAiIiIiompjYkFERERERNXGxIKIiIiIiKqNs0JJSBSLVjvJysqSOBIiIiIiIlP6+1T9fWt5mFhIKDs7GwAQFhYmcSRERERERGXLzs6GUqkst44gViT9oBqh0+lw+/ZteHh4QBCEB9bv2LEjjh07VqFjP6huVlYWwsLCkJiYCE9PzwrHbC8q817WhtqKx9LnscTxqnKMyu5jyWsHqNvXD68d6zleVY9RU9cPr53yWdu1A9ROTDVxjuoek9dO5YiiiOzsbISEhEAmK38UBVssJCSTyRAaGvrgisXkcnmFP0wVrevp6Vnn/rgDlXsva0NtxWPp81jieFU5RmX3qYlrB6ib1w+vHes5XlWPUVPXD6+d8lnbtQPUTkw1cY7qHpPXTuU9qKVCj4O3bci0adNqpG5dZG3vT23FY+nzWOJ4VTlGZffhtWM51vb+8Nqp+f0qWt/aPhvWxhrfn9qIqSbOUd1j8tqpOewKVUdlZWVBqVQiMzPT6r5BIbJ2vH6IqobXDlHV2Mq1wxaLOkqhUGDOnDlQKBRSh0Jkc3j9EFUNrx2iqrGVa4ctFkREREREVG1ssSAiIiIiompjYkFERERERNXGxIKIiIiIiKqNiQUREREREVUbEwsya9OmTWjWrBmaNGmCH374QepwiGzG8OHD4e3tjccff1zqUIhsRmJiInr16oWWLVuibdu2WL16tdQhEdmEjIwMdOjQAVFRUWjdujW+//57SePhrFBkorCwEC1btsTu3buhVCrRvn17HDx4EL6+vlKHRmT19uzZg+zsbCxbtgxr1qyROhwim5CUlISUlBRERUUhOTkZ7du3x+XLl+Hm5iZ1aERWTavVQq1Ww9XVFSqVCq1bt8bx48clu2djiwWZOHr0KFq1aoV69erB3d0dAwYMwLZt26QOi8gm9OrVCx4eHlKHQWRTgoODERUVBQAICgqCn58f0tPTpQ2KyAbI5XK4uroCANRqNURRhJRtBkws7NDevXsxZMgQhISEQBAE/P777yZ1YmNjER4eDmdnZ0RHR+Po0aOGbbdv30a9evUMz+vVq4dbt27VRuhEkqrutUNUV1ny2jlx4gS0Wi3CwsJqOGoi6Vni2snIyEBkZCRCQ0Px+uuvw8/Pr5aiN8XEwg6pVCpERkYiNjbW7PZVq1Zh5syZmDNnDk6ePInIyEj0798fqamptRwpkXXhtUNUNZa6dtLT0zFhwgR89913tRE2keQsce14eXnh9OnTiIuLw4oVK5CSklJb4ZsSya4BENevX29U1qlTJ3HatGmG51qtVgwJCRHnzZsniqIoHjhwQBw2bJhh+0svvSQuX768VuIlshZVuXb0du/eLY4cObI2wiSyOlW9dvLz88Xu3buLP/30U22FSmRVqvP/jt7zzz8vrl69uibDLBdbLOoYjUaDEydOoG/fvoYymUyGvn374tChQwCATp064dy5c7h16xZycnKwdetW9O/fX6qQiaxCRa4dIjJVkWtHFEVMmjQJffr0wfjx46UKlciqVOTaSUlJQXZ2NgAgMzMTe/fuRbNmzSSJFwAcJDszSSItLQ1arRaBgYFG5YGBgbh48SIAwMHBAZ999hl69+4NnU6HN954gzNCUZ1XkWsHAPr27YvTp09DpVIhNDQUq1evRpcuXWo7XCKrUZFr58CBA1i1ahXatm1r6GP+888/o02bNrUdLpHVqMi1c+PGDTz77LOGQdszZsyQ9LphYkFmDR06FEOHDpU6DCKbs2PHDqlDILI53bp1g06nkzoMIpvTqVMnnDp1SuowDNgVqo7x8/ODXC43GdiTkpKCoKAgiaIisn68doiqhtcOUdXY4rXDxKKOcXJyQvv27bFz505DmU6nw86dO9ldg6gcvHaIqobXDlHV2OK1w65QdignJwdXr141PI+Li8OpU6fg4+OD+vXrY+bMmZg4cSI6dOiATp06YcGCBVCpVJg8ebKEURNJj9cOUdXw2iGqGru7diSbj4pqzO7du0UAJj8TJ0401Fm0aJFYv3590cnJSezUqZN4+PBh6QImshK8doiqhtcOUdXY27UjiKKE634TEREREZFd4BgLIiIiIiKqNiYWRERERERUbUwsiIiIiIio2phYEBERERFRtTGxICIiIiKiamNiQURERERE1cbEgoiIiIiIqo2JBRERERERVRsTCyIiIiIiqjYmFkREREREVG1MLIiIiIiIqNqYWBARERERUbUxsSAiIiIiompjYkFERERERNXGxIKIiIiIiKqNiQUREREREVUbEwsiIiIiIqq2SicWPXv2xE8//YS8vLyaiIeIiIiIiGyQIIqiWJkdXn75ZaxYsQJqtRqjR4/G008/jc6dO9dUfHZNp9Ph9u3b8PDwgCAIUodDRERERGREFEVkZ2cjJCQEMln5bRKVTiwAoLCwEBs3bsSyZcuwdetWNG7cGFOmTMH48eMRGBhY5cDrmps3byIsLEzqMIiIiIiIypWYmIjQ0NBy61QpsSgpNTUV3333HT744ANotVoMHDgQL774Ivr06VOdw9qMTZs24dVXX4VOp8Obb76JZ555psL7ZmZmwsvLC4mJifD09KzBKImIiIiIKi8rKwthYWHIyMiAUqkst261EoujR49iyZIlWLlyJTw9PTFp0iTcunULK1aswAsvvIBPP/20qoe2CYWFhWjZsiV2794NpVKJ9u3b4+DBg/D19a3Q/llZWVAqlcjMzGRiQURERERWpzL3q5UevJ2amorPPvsMrVu3Rvfu3XHnzh38+uuviI+Px9y5c/HDDz9g27Zt+Oabb6r8AmzF0aNH0apVK9SrVw/u7u4YMGAAtm3bJnVYREREVMckZebh4LU0JGVych2STqUTi9DQUPzwww+YOHEibt68iTVr1uCxxx4zGnzctm1bdOzY0aKB1oS9e/diyJAhCAkJgSAI+P33303qxMbGIjw8HM7OzoiOjsbRo0cN227fvo169eoZnterVw+3bt2qjdCJiIiIAACrjiWg6/xdePL7I+g6fxdWHUuQOiSqoyqdWOzcuRMXLlzA66+/Dn9/f7N1PD09sXv37moHV9NUKhUiIyMRGxtrdvuqVaswc+ZMzJkzBydPnkRkZCT69++P1NTUWo6UiIiI6qryWiMuJ2cjZt1Z6Io7tutE4K1159hyQZJwqOwO3bt3r4k4JDFgwAAMGDCgzO2ff/45pk6dismTJwMAvvnmG2zevBk//vgjYmJiEBISYtRCcevWLXTq1KnM46nVaqjVasPzrKwsC7wKIiIisiVJmXmIS1Mhws8NwUoXs9vcnORQabQ4eysTH229CJ0IyARgTMf68HZ1xMXkbFxMysLtzHyT42tFESdv3MNDDWB0npLnBVBmDNasvPeOpFfpxAIA1qxZg99++w0JCQnQaDRG206ePGmRwKSm0Whw4sQJzJo1y1Amk8nQt29fHDp0CADQqVMnnDt3Drdu3YJSqcTWrVsxe/bsMo85b948zJ07t8ZjJyIi61WXb4yq+9ot/d5Z4nilj2HumCXL9l6+g1nFLQwyAXjzseZoE6qEm5Mcm84k4X/74wytD6XpRODXoxXr5vTir/9AJwIiis4zvF09rP/nFnQioO+8rt82b0QbjOlYv8bfm+padSzB6L0zF7e9spW/G5VOLBYuXIi3334bkyZNwoYNGzB58mRcu3YNx44dw7Rp02oiRkmkpaVBq9WarMsRGBiIixcvAgAcHBzw2WefoXfv3tDpdHjjjTfKnRFq1qxZmDlzpuG5fvouIiKqG+ryjVF1X3t19hdFEWLxTbZOFKETRaw+fhPvbjhnON4Hw9vgiU6V+7coHdOA1sHYci4JoggIAjCtV2M4Ogj4cscVs8mCTgTmbb1YqXMCwCMtAtCrqT+aB3uiWZAHtp5NwlvrzkEripAJQD2lCxIz7neF0onA2pP3e1iUDEUnAjFrz2L3pTvwcnGEg1zA9TsqHLp2FyKKkpA+zQPQJlQJuSBAJhMgEwTIZYBM0D8WIBMAmUwoqiMIOHYjHWuO3zQc4/H2oegQ7g2trqhFRacTodUV/VtodSK0ogitVry/TRSh1cGwPSuvAGtO3DTEro/78PW7cFc4Gr0/5tYcLl30oIWJzR9DKLeO6TnMHbfUMUxPYnLOC0lZ2Hv5TrmJoLWo9HSzzZs3x5w5c/DEE0/Aw8MDp0+fRsOGDfHuu+8iPT0dixcvrqlYa5QgCFi/fj2GDRsG4P7A7IMHD6JLly6Gem+88Qb+/vtvHDlypNrn5HSzRGRLrPkbM1EUoROBQp0OWp2IQl3RTUph8c2LUblORKG2jHKdCK1OV2J7qfIS++vE0sfTlapf4vhaEdn5hfjz32ST2Hs19Yezo1yCd6325BdosefyHZPyDuFekAsyM++l/say6D3UFOiQkq022d/NSQ5BEAzJgiiiOIEo+jzoPxeV4SgvujF2kBXdMDvIZZAX3zAXPS/6LYoi4tJyq/qWVJlcELA/prfZLlTxabkI93NF3B0Vnvyh+vcpZJ3K+gzUlMrcr1a6xSIhIQEPP/wwAMDFxQXZ2dkAgPHjx6Nz5842m1iU5ufnB7lcjpSUFKPylJQUBAUFSRQVEVHN0OlE5BdqkavRIk9T/LtAi1xNIfI0Wuy8kIpfjyYYvn0c1DYYbUOVZm7gzdxga8soN3Mjb7iZLPfGX0Sh1rTcVpm74a4rjsdnVGt/lUZrmUBKKNCKAESYpjHSkwsCPhzR2uwNZbDSxahcJqDCSZUgAM/3bARXJzmu3VFh/T+mM1w+0iIAAR6KoutUV5S06a9XUYTh+hVFEWk5apxKzDQ5RrswL/i6KwxJW1ELx/2Wjvtl+laQokROJgjI0xTip0M3jFpbBACTu4bDw/l+i4XJSy71/Xnp7aW/XhdL1TDdXrn9H/AUpb/fL/lUBHA7Iw9bzxl/IaEVRcSn5VrdFzxAFRKLoKAgpKeno0GDBqhfvz4OHz6MyMhIxMXFmbw5tszJyQnt27fHzp07Da0YOp0OO3fuxPTp06UNjogkJdU39wVaXYkb/8ISN/9a5GkKSzwu+q0vz9VokVtwf7+8Ap2hvGQSUVEigE1nkrDpTFLNvVgLciz+htlBJiv+Ldz/LS+jvGR9k2+wBchlMjP1i8vl5stz1YVYvPuq8Y2RALzWrxmULo5lxm8PMvMK8Olfl0xe+3tDWpa40bz/nspLvbf3cjV4etlxo5sumQCsfLYzAj2dIUCAIBQdUyYI93+jqEdCyecyQUBKdj4eW7DX6MZbJgAbpneFn7v+5vl+4mrueUpWHl5cecrkxrIkGQCUusEXil97RW/65YKANx5rhrahXgj3c63Q35xgpQvmjWhj6B4lFwQMaxeC3/+5Da0oFvW2EYpuYvXJir5rTVJmHjacumUUn1wQ8H/DzCc05iRl5qHr/F0mx/jqqYeq9TezZYin0WsqGbe9SsrMw1//Jpu8l+F+rtIFVY5KJxZ9+vTBxo0b0a5dO0yePBmvvPIK1qxZg+PHj2PEiBE1EWONycnJwdWrVw3P4+LicOrUKfj4+KB+/fqYOXMmJk6ciA4dOqBTp05YsGABVCqVYZYoIqp7yuvnLYoi8gpKf+N//1t/o6SgQIt8fQJQUCpZMNNikFegLf4mteY5O8rg6uQAF0c5XJ3k0OlEXEtTmdTr3sQPwUpn05tsuWD2RtHkBtzoRt1M+QNv5GUlzmUmISj+9tOahPq41LkbIz0/d6dqvfb5pW6UPxzRGp0iyh7XWB6lq6PJjfeHI1qjTT2vSh0nV6Mt8+Zdf0wAJufp0dQf8Wm5OHMrAx9vvQRtiexEBuCZHhEY1CYYuRpdhZOJ0sZ0rG84j/4Yr/VvZngOwGibnrmkpKxWkrJY4hgVfU32rqbey5pS6TEWOp0OOp0ODg5FOcnKlStx8OBBNGnSBM899xycnJxqJNCasGfPHvTu3dukfOLEiVi6dCkAYPHixfjkk0+QnJyMqKgoLFy4ENHR0RY5P8dYEFk/daEWiem5uH5HhdOJGYjdc82kjpeLI9SFukp9618dcpkAV0c5XJyKbvxdnBzgqn/saFzmUqKeodxQRw7X4nrOjvf3L30zXta3j7XZx9eelOwLX9fev+q+dku/d5Y4XuljmDtmeefRb3N1klUrkbC0mnhvqOqkfC8rc79a6cSCLIeJBZF10OlE3C7u3hSXpsL1OyrD45v3cis9+BMw/dbfpcRNv6uTQ4mkQA5XRweTOiVv+g2JgWPRfk4OlV7btNpWHUuos9+0ExHVZRYfvH3mzJkKn7xt27YVrktEVFtEUcS93ALEpeUYJQ76H3Whrsx93ZzkiPB3Q5CnC3ZeSDHqJy4TgGVTOqGBj9v9ZMHMt/62ri52QSAiosqpUGIRFRUFQRAeODhbEARotbXTFYCIyJxcTeH9hKE4gbhe/Dwzr6DM/RzlAur7uCLCzx0N/d0Q4Vf009DPDf4eCsPc4+a+ue/exL+2Xp6kSs86Q0REVFKFEou4uLiajoOIqMIKtDokpufe77pUIolIzsovd996Xi6GpCHCzw0R/kXJQz0vFzjIH9zFiN/cExERmVehxKJBgwY1HQcRkRGdTkRKdj7i7txvcdD/JKTnQlvOwAcfNyej5KFhcQKh765UXfzmnoiIyFSlp5sFgEuXLmHRokW4cOECAKBFixaYMWMGmjVrZtHgiMj+ZeRqjFoc9C0Q8WmqcmdZcnGUG7U4lEwkvFxtZ3Y6IiIie1HpxGLt2rUYO3YsOnTogC5dugAADh8+jNatW2PlypUYOXKkxYMkItuWp9Ei/q6q1KxLOYhLU+FebtnjHhxk+nEP97stFbVAuCPQ8/64ByIiIpJepaebbdSoEcaNG4f333/fqHzOnDn45ZdfcO2a6RzvZB6nmyVbVnr16UKtDjfv5ZUYLJ1jGEB9O7P8cQ/BSmfjrkv+bojwc0eotwscKzDugYiIiGpGja5j4erqijNnzqBx48ZG5VeuXEFkZCRyc3MrH3EdExsbi9jYWGi1Wly+fJmJBdmcVccSELPuLPR/PfzcnZCRW4DCcsY9eDo7oKG/OxqWSBwi/NwQ7ucKV6cq9cokIiKiGmbxdSxK6tWrF/bt22eSWOzfvx/du3ev7OHqpGnTpmHatGmGfygiW5KYrkLM2rNGazmk5WgAAAoHmfGMSyWSCG9XR3ZdIiIismOVTiyGDh2KN998EydOnEDnzp0BFI2xWL16NebOnYuNGzca1SUi+5GUmYdnlh2HuXaJRU+0w6A2wXa3MBwRERFVTKW7QslkFevvzMXyHoxjLMiW7LyQgldXn0aGmcHWckHA/pjenIKViIjIztRoVyidTlflwIjI9mgKdfj4z4v4YX/RQplt6ikxoHUQPtt22Wj1aSYVREREdZtFRkxmZGTAy8vLEociIiuScDcXM349idM3MwEAU7pG4M0BzaBwkGP4Q/W4+jQREREZVHoex48++girVq0yPB81ahR8fHxQr149nD592qLBEZF0tpxNwqCF+3D6ZiaULo74fkIHvDukJRQORStXBytd0KWRL5MKIiIiAlCFxOKbb75BWFgYAGD79u3YsWMH/vzzTwwYMACvv/66xQMkotqVX6DFO7+fxQvLTyJbXYj2Dbyx5aXueLRloNShERERkRWrdFeo5ORkQ2KxadMmjB49Gv369UN4eDiio6MtHiAR1Z5rd3IwbflJXEzOBgC80KsRXnm0KRepIyIiogeq9N2Ct7c3EhMTAQB//vkn+vbtCwAQRZGzQBHZsHUnb2LIov24mJwNXzcnLJvSCW881pxJBREREVVIpVssRowYgSeffBJNmjTB3bt3MWDAAADAP//8Y7JoHhFZv1xNId7d8C/WnLgJAHi4kS8WjIlCgKezxJERERGRLal0YvHFF18gPDwciYmJ+Pjjj+Hu7g4ASEpKwgsvvGDxAImo5lxIysL0FSdx7Y4KMgF4uW9TTOvdGHIuckdERESVVOkF8shyuEAeSUUURfx6NBFz//gX6kIdAj0V+HJsO3Ru6Ct1aERERGRFLL5A3saNGzFgwAA4Ojpi48aN5dYdOnRoxSMlolqXnV+AWevOYtOZJABAr2b++GxUJHzdFRJHRkRERLasQi0WMpkMycnJCAgIgExW9kBOQRA4gLsS2GJBte3MzQxMX/EPEtJz4SAT8MZjzfBMt4aQsesTERERmWHxFgudTmf2MRHZBlEUseRAPOZtvYACrYh6Xi7/v707D4uy3P8H/h6GfVdBFkFAURRRQBDLJBXJNTAXXFNIXI4HxeWUHc857WnHUjOSNEtBPYmYW1kuJaESWgaChpIKooIKisgu28zz+8Of841AZYYZngHer+viupxn7rnnzVzdOR/v5cGn073Rv2sHsaMRERFRG6H05m0ial2KK2vw6tfncSyzAAAwqo8tVk/sBwtjPZGTERERUVvSpMIiKiqqyR1GRkaqHIaI1CvlWhEi49Jwq6QK+lId/OfF3pj5jBMkEi59IiIiIvVq0h4LFxeXeo/v3r2LyspKWFpaAgCKi4thbGyMzp074+rVqxoJ2pZER0cjOjoaMpkMly9f5h4LUju5XMCmk9lY+8NlyOQCnDsZY8P0/vDoYiF2NCIiImpFlNljofRxszt37sRnn32GLVu2wM3NDQBw6dIlzJ07F/Pnz8eMGTNUT97OcPM2acLdsmos252OpCuFAIBxXvZYOb4vTA248pGIiIiUo9HConv37tizZw+8vb3rXU9NTcWkSZOQk5OjfOJ2ioUFqduprEIsjk/H3bJqGOrp4N1gD4T4OnDpExEREalE7adC/dnt27dRV1fX4LpMJkNBQYGy3RGRGtTJ5IhKuIJPE7MgCEBPG1NsmN4fPW3MxI5GRERE7cTjb0rxGMOHD8f8+fNx9uxZxbXU1FQsWLAAgYGBag1HRE+XX1KF6V/+iqifHhYVUwc44puIwSwqiIiIqEUpXVhs3boVtra28PX1hYGBAQwMDODn5wcbGxt8+eWXmshIRI+R+McdjIlKwpmcIpjoS/HJVC/8d2I/GOlLxY5GRERE7YzSS6Gsra1x6NAhXLlyBZmZmQCAXr16oWfPnmoPR0SNq5XJseboJXx+8uEpbH3szbFhen+4WJmInIyIiIjaK5WPienRowd69Ojx2OfNzc2Rnp6Obt26qfoWRNSI3KJKLIpLQ3puMQAgbJAzVozpBQNdzlIQERGReDR2/qSSh00RURMcybiN5XvOo7SqDuaGuvhwkidGediKHYuIiIhIc4UFEalPVa0MHxzKxLbT1wEA3l0tETXVG44djUVORkRERPQQCwsiLXf1bjkW7kzDxdulAID5Q7rh1RFu0JMqffYCERERkcawsCDSYt+k38S/9v2OihoZOproY+1kTwxz6yx2LCIiIqIGNFZY8E6/RKp7UCPD299eQHxKLgBgoEtHfDLVG7YWhiInIyIiImocN28TaZnLBWWI+Oosrtwph0QCRAb0QOTwHpDqsFgnIiIi7dWswuJR8dDY7MThw4fRpUuX5nRP1K4IgoDdKbl469sLqKqVo7OZAdZP9cKg7lZiRyMiIiJ6KpV2f27ZsgUeHh4wNDSEoaEhPDw8Gtx1e/DgwTAwMFBLSKK2rqyqFot3peP1vb+jqlaO53ta49BifxYVRERE1GooPWPx5ptvYt26dVi0aBGeffZZAMDp06exdOlS3LhxA++++67aQxK1ZRk3S7Bw51lcu1cJqY4Er45ww/znu0GHS5+IiIioFZEISm6GsLa2RlRUFKZNm1bvelxcHBYtWoTCwkK1BmzLSktLYWFhgZKSEpibm4sdh1qYIAjYfvo6Vn6fiRqZHF0sjRA1zQs+Th3FjkZEREQEQLnvq0rPWNTW1sLX17fBdR8fH9TV1SnbHVG7VFJZi+V7z+HohQIAwAvuNvhoUj9YGuuLnIyIiIhINUrvsZg5cyY2btzY4PrmzZsxY8YMtYRq66Kjo+Hu7o4BAwaIHYVEcPbGfYyJSsLRCwXQl+rgrSB3bJ7pw6KCiIiIWjWll0ItWrQI27dvh6OjI5555hkAwK+//oobN25g1qxZ0NPTU7Rdt26detO2MVwK1b7I5QI2J13FmqOXUCcX4NTJGBum9UdfBwuxoxERERE1SqNLoTIyMtC/f38AQHZ2NgDAysoKVlZWyMjIULTjDfKI/s+98mos230OJy7fBQAEedpj1XgPmBnqPeWVRERERK2D0oVFYmKiJnIQtVmns+9hSXwaCkqrYaCrg3eC+2DKAEcW30RERNSmNOsGebm5uQAAR0dHtYQhaktkcgGf/nQFUQlXIBcA186m2DDdG71sueyNiIiI2h6lN2/X1dXhjTfegIWFBZydneHs7AwLCwv85z//QW1trSYyErU6BaVVePnLX7H+2MOiIsTHAd8ufI5FBREREbVZSs9YLFq0CPv27cOHH35Y7wZ5b7/9Nu7du9foiVFE7cmJy3exLD4d9ypqYKwvxcrxHhjv7SB2LCIiIiKNUvpUKAsLC+zatQujR4+ud/3QoUOYNm0aSkpK1BqwLeOpUG1LrUyOtT9cxqYTDw816G1njg3TvdHd2lTkZERERESq0eipUAYGBnB2dm5w3cXFBfr6PIef2qe8+5WIjEvD2RvFAICZzzjh32N7w1BPKm4wIiIiohai9B6LhQsX4r333kN1dbXiWnV1NVauXImFCxeqNRxRa/DDhXyMjfoZZ28Uw8xAF5/N6I/3XvJgUUFERETtitIzFmlpaUhISICDgwM8PT0BAOfOnUNNTQ2GDx+OCRMmKNru27dPfUmJtEx1nQz/PfwHYpKvAQA8HS2xYZo3HDsaixuMiIiISARKFxaWlpaYOHFivWs8bpbam2uFFVgYdxYZN0sBAHP9XfDayF7Q11V6EpCIiIioTVC6sIiJidFEDqJW49tzt/Cvfb+jvLoOHYz1sHayJwJ62Ygdi4iIiEhUTf7nVV9fX2zatAmlpaWazEOktR7UyLBi33lExqWhvLoOfs4dcWixP4sKIiIiIihRWHh6emL58uWws7PDzJkzcfz4cQ3GItIuVwrK8FJ0MuLO5EIiARYFuGLn3IGwszASOxoRERGRVmhyYbFlyxbk5+cjOjoaubm5GD58OFxdXbFq1SrcvHlTkxmJRCMIAnan5CJ4QzIuFZTBytQAO2YPxD9GuEFXyv0URERERI8ofYO8R7KzsxETE4MdO3bg1q1bGDFiBMLDw+udCkVPxhvkabfy6jq8cSAD+9MeFs6DXa3w8RQvWJsZiJyMiIiIqGUo831V5cLiEUEQsHfvXsyfPx/FxcWQyWTN6a5VGz9+PI4fP47hw4djz549T23PwkJ7XbhVgkU703C1sAJSHQmWvdATC4Z0h46OROxoRERERC1Gme+rzVrLcfz4cYSFhSEsLAwymQxz585tTnet3uLFi7F9+3axY1AzCIKAHaevYfxnp3C1sAJ2FobYNe8ZRAxzZVFBRERE9ARKHzebl5eH2NhYxMbG4urVq/D398dnn32GkJAQGBm1742sQ4cO5ab2VqzkQS3+ufc8DmfkAwCG9+qMNSGe6GCiL3IyIiIiIu3X5BmL3bt3Y9SoUXBxccHGjRsxefJkXL58GSdOnMCsWbOaVVTcvHkTL7/8Mjp16gQjIyP07dsXKSkpKvf3VydPnkRQUBDs7e0hkUhw4MCBRttFR0fD2dkZhoaGGDhwIM6cOaO2DKTd0nOLMTYqCYcz8qEnleCNF93xZagviwoiIiKiJmryjMXLL7+MsWPHYv/+/RgzZgx0dNRzIs79+/fx3HPPYdiwYTh8+DCsra1x5coVdOjQodH2ycnJ8PPzg56eXr3rFy9eRKdOnWBj0/CeAhUVFfD09MTs2bMfu7k8Pj4ey5Ytw6ZNmzBw4ECsX78eI0eOxKVLl9C5c2cAgJeXF+rq6hq89ocffoC9vb2yvzppAblcwJafc7D6yB+okwtw7GiEDdP6w9PRUuxoRERERK1KkwuLOXPmYPbs2fD19VVrgNWrV8PR0bHeHb1dXFwabSuXyxEREYEePXpg165dkEqlAIBLly4hICAAy5Ytw/Llyxu8bvTo0Rg9evQTc6xbtw5z587FK6+8AgDYtGkTvv/+e2zduhX//Oc/AQDp6emq/IqkpYoqavDq1+fw0x93AABj+9rhg4l9YW6o95RXEhEREdFfNXnaoaqqCmPGjIGDgwMWLFiAw4cPo6amptkBvv32W/j6+iIkJASdO3eGt7c3vvjii8bD6ujg0KFDSEtLw6xZsyCXy5GdnY2AgAC89NJLjRYVTVFTU4PU1FQEBgbWe6/AwECcPn1apT6fJDo6Gu7u7hgwYIDa+6amOZNThDGfJOGnP+5AX1cHK8d7YMN0bxYVRERERCpqcmGxdetW5OfnIy4uDmZmZliyZAmsrKwwceJEbN++HUVFRSoFuHr1KjZu3IgePXrg6NGjWLBgASIjI7Ft27ZG29vb2+Onn37Czz//jOnTpyMgIACBgYHYuHGjSu8PAIWFhZDJZA2WUdnY2CA/P7/J/QQGBiIkJASHDh2Cg4PDY4uSiIgIXLx4Eb/99pvKmUk1MrmATxOuYOrm08gvrUI3axMc+PtzmDHQCRIJT30iIiIiUpVSp0Lp6OjA398f/v7++PDDD5GZmYmDBw/i888/x7x58+Dn54fg4GBMmzYNXbp0aVKfcrkcvr6+WLVqFQDA29sbGRkZ2LRpE0JDQxt9TdeuXbFjxw4MGTIE3bp1w5YtW7TiS+GxY8fEjkBPcKesCkvj05GcdQ8AMKF/F7w3zgMmBkofjkZEREREf9GsHdi9e/fG8uXLkZycjNzcXISFhSEpKQlxcXFN7sPOzg7u7u4N+r1x48ZjX1NQUIB58+YhKCgIlZWVWLp0qcq/AwBYWVlBKpWioKCgwfvY2to2q2/SDklX7mLMJ0lIzroHIz0p1oR4Yt1kLxYVRERERGqidGExe/ZslJWVNbhubGyMn3/+Gd988w1effXVJvf33HPP4dKlS/WuXb58GU5OTo22LywsxPDhw9G7d2/s27cPCQkJiI+PV+o9/0pfXx8+Pj5ISEhQXJPL5UhISMCzzz6rcr8kvjqZHB8d/QOztp5BYXkNetma4eCi5zDJx0HsaERERERtitKFxbZt2/DgwYMG1x88eKDSXaeXLl2KX375BatWrUJWVhZ27tyJzZs3IyIiokFbuVyO0aNHw8nJCfHx8dDV1YW7uzt+/PFHxMTE4OOPP270PcrLy5Genq441SknJwfp6en1ZkWWLVuGL774Atu2bUNmZiYWLFiAiooKxSlR1PrcKn6AqZt/QXRiNgQBmD6wKw5EPAfXzmZiRyMiIiJqc5q8DqS0tBSCIEAQBJSVlcHQ0FDxnEwmw6FDhxT3e1DGgAEDsH//fqxYsQLvvvsuXFxcsH79esyYMaNBWx0dHaxatQr+/v7Q1/+/G5d5enri2LFjsLa2bvQ9UlJSMGzYMMXjZcuWAQBCQ0MRGxsLAJgyZQru3r2LN998E/n5+fDy8sKRI0cavS8Gab9jFwvw6p5zKK6shZmBLj6Y2Bcv9uO9RoiIiIg0RSIIgtCUhjo6Ok/cIC2RSPDOO+/g3//+t9rCtXWlpaWwsLBASUkJzM3NxY7TJtTUybH6yB/Y8nMOAKBvFwtsmO4Np04mIicjIiIian2U+b7a5BmLxMRECIKAgIAA7N27Fx07dlQ8p6+vDycnJ959mkR1414lFsadxfm8EgDA7Odc8PpoNxjoSkVORkRERNT2NbmwGDJkCICH+xO6du2qFce7Ej3y3flbWLH3d5RV18HCSA9rQjzxgjuXsRERERG1FKXP2rx+/TquX7/+2Oeff/75ZgUiUkZVrQzvfXcRX/36cCO+j1MHRE3zRhdLI5GTEREREbUvShcWQ4cObXDtz7MXMpmsWYGImirrTjkW7jyLP/LLIJEAC4Z0x9IXekJP2qzbsxARERGRCpQuLO7fv1/vcW1tLdLS0vDGG29g5cqVagtG9CR7U/PwxjcZqKyRwcpUH+sme+H5no2fCkZEREREmqd0YWFhYdHg2gsvvAB9fX0sW7YMqampaglG1JiK6jq8+c0F7D2bBwAY1L0T1k/xQmdzw6e8koiIiIg0SenC4nFsbGwa3EGbSJ0yb5di4c6zyL5bAR0JsDSwJ/4+zBVSHR4kQERERCQ2pQuL8+fP13ssCAJu376N//73v/Dy8lJXLiIFQRCw88wNvHPwImrq5LAxN0DUVG8M7NZJ7GhERERE9P8pXVh4eXlBIpHgr/fVe+aZZ7B161a1BSMCgNKqWqzY9zu+P38bADDMzRprQjzRydRA5GRERERE9GdKFxY5OTn1Huvo6MDa2hqGhlzjTup1LrcYi+LScKOoEro6Erw+qhfCB7tAh0ufiIiIiLSO0oWFk5OTJnIQKQiCgK3J1/Dfw5molQlw6GCET6d5w7trB7GjEREREdFjqHTg/4kTJxAUFARXV1e4uroiODgYSUlJ6s5G7dD9ihrM3Z6K9767iFqZgFF9bPF9pD+LCiIiIiItp3Rh8b///Q+BgYEwNjZGZGQkIiMjYWRkhOHDh2Pnzp2ayEjtRMq1IoyJSsKxzALoS3Xw3rg+2Phyf1gY6YkdjYiIiIieQiL8dRf2U/Tu3Rvz5s3D0qVL611ft24dvvjiC2RmZqo1YFtWWloKCwsLlJSUwNzcXOw4opHLBWw8kY11P16GTC7AxcoEn07zhkeXhvdMISIiIqKWo8z3VaVnLK5evYqgoKAG14ODgxts7CZ6mrtl1QiNOYOPjl6CTC7gJS97HFw0mEUFERERUSuj9OZtR0dHJCQkwNXVtd71Y8eOwdHRUW3BqO1LzirEkvh03C2rhqGeDt4d54EQHwdIJDz1iYiIiKi1Ubqw+Mc//oHIyEikp6dj0KBBAIDk5GTExsbik08+UXtAanvqZHJEJVzBp4lZEASgp40poqf3Rw8bM7GjEREREZGKlC4sFixYAFtbW6xduxa7d+8G8HDfRXx8PMaNG6f2gNS25JdUIXJXGs7kFAEApg5wxFtBfWCkLxU5GRERERE1h9Kbt5sqLi4OwcHBMDEx0UT3bUJ727z90x8F+Mfuc7hfWQsTfSlWTeiLcV5dxI5FRERERI+h0c3bTTV//nwUFBRoqvtWLTo6Gu7u7hgwYIDYUVpETZ0cqw5lYnZsCu5X1qKPvTm+i/RnUUFERETUhmhsxsLMzAznzp1Dt27dNNF9m9AeZixyiyqxKC4N6bnFAICwQc5YMaYXDHS59ImIiIhI2ynzfVXpPRZETXX499tYvvc8yqrqYG6oi49CPDGyj63YsYiIiIhIA1hYkNpV1cqw6lAmtp++DgDw7mqJT6d5w6GDscjJiIiIiEhTWFiQWl29W46FO9Nw8XYpAOBvQ7rjHyN6Qk+qse08RERERKQFWFiQ2hxIu4l/7f8dlTUydDTRx7rJnhjq1lnsWERERETUAjRWWDg5OUFPT09T3ZMWqaypw1vfXMDXqXkAgGe6dcQnU71hY24ocjIiIiIiaikqFxYpKSnIzMwE8PAGeb6+vvWez8jIaF4yahUu5ZchYudZZN0ph0QCLB7eA4sCekCqIxE7GhERERG1IKULi7y8PEybNg3JycmwtLQEABQXF2PQoEHYtWsXHBwc1J2RtJAgCIj/LRdvfXsB1XVydDYzwPqpXhjU3UrsaEREREQkAqV31M6ZMwe1tbXIzMxEUVERioqKkJmZCblcjjlz5mgiI2mZsqpaRO5Kxz/3/Y7qOjmG9LTGocX+LCqIiIiI2jGlb5BnZGSEU6dOwdvbu9711NRU+Pv7o7KyUq0B27LWeIO8jJsliNh5FtfvVUKqI8FrI90wz78bdLj0iYiIiKjN0egN8hwdHVFbW9vgukwmg729vbLdUSshCAJiT13DB4f+QI1Mji6WRoia5gUfp45iRyMiIiIiLaD0UqiPPvoIixYtQkpKiuJaSkoKFi9ejDVr1qg1HGmH4soazN+RincOXkSNTI4R7jb4PnIwiwoiIiIiUlB6KVSHDh1QWVmJuro66Oo+nPB49GcTE5N6bYuKitSXtA1qDUuhUq/fR2RcGm4WP4C+VAf/GtMLoYOcIZFw6RMRERFRW6fRpVDr169XNRe1InK5gM1JV/HR0UuQyQU4dTLGhmn90dfBQuxoRERERKSFlC4sQkNDNZGDtEhheTWW7T6Hk5fvAgCCPO2xarwHzAx5w0MiIiIiapxKN8iTyWTYv3+/4gZ57u7uGDdunGJpFLVep7PvYfGuNNwpq4aBrg7eCe6DKQMcufSJiIiIiJ5I6UrgwoULCA4ORn5+Ptzc3AAAq1evhrW1NQ4ePAgPDw+1hyTNk8kFfPrTFUQlXIFcAFw7myJ6en+42ZqJHY2IiIiIWgGlC4s5c+agT58+SElJQYcOHQAA9+/fR1hYGObNm4dTp06pPSRpVkFpFRbvSsMvVx9utp/s64C3g/vAWJ8zUERERETUNEp/c0xPT69XVAAPT4pauXIlBgwYoNZwpDm3Sx4gp7AC+SVVeP/7TBRV1MBYX4qV4z0w3ttB7HhERERE1MooXVj07NkTBQUF6NOnT73rd+7cgaurq9qCkebE/3YDK/b9DvmfDhp2tzPHhune6GZtKl4wIiIiImq1lL5B3gcffIDIyEjs2bMHeXl5yMvLw549e7BkyRKsXr0apaWlih/SPrdLHjQoKiQAPpvRn0UFEREREalM6RmLF198EQAwefJkxUlBj+6xFxQUpHgskUggk8nUlZPUJKewol5RAQACgNslVXC2Mmn0NURERERET9PkwiIjIwMeHh5ITEzUZB7SMBcrE+hIUK+4kEokcLYyFi8UEREREbV6TS4s+vXrhwEDBmDOnDmYOnUqzMx4DGlrZGdhhA8m9MW/9mVAJgiQSiRYNcEDdhZGYkcjIiIiolZMIjxax/QUSUlJiImJwZ49eyCXyzFp0iSEh4fD399f0xnbrNLSUlhYWKCkpATm5uYt+t63Sx7gWmElnK2MWVQQERERUaOU+b7a5MLikYqKCuzevRuxsbFISkqCq6srwsPDERoaCltb22YFb2/ELCyIiIiIiJ5Go4XFn2VlZSEmJgY7duxAfn4+Ro0ahW+//VbV7tqdkpISWFpaIjc3l4UFEREREWmd0tJSODo6ori4GBYWFk9s26zCAng4g/HVV19hxYoVKC4u5klQSsjLy4Ojo6PYMYiIiIiInig3NxcODk++ibLSx80+cvLkSWzduhV79+6Fjo4OJk+ejPDwcFW7a5fs7e2Rm5sLMzMzxdG9TzJgwAD89ttvTer7aW0fVZ/tdbZEmc+yJbRUHnW/jzr6U6UPZV+jzrEDtO/xw7GjPf2p2oemxg/HzpNp29gBWiaTJt6juX1y7ChHEASUlZXB3t7+qW2VKixu3bqF2NhYxMbGIisrC4MGDUJUVBQmT54MExPeA0FZOjo6T638/kwqlTb5P6amtjU3N293/3MHlPssW0JL5VH3+6ijP1X6UPY1mhg7QPscPxw72tOfqn1oavxw7DyZto0doGUyaeI9mtsnx47ynrYE6pEmFxajR4/GsWPHYGVlhVmzZmH27Nlwc3NTOSApLyIiQiNt2yNt+3xaKo+630cd/anSh7Kv4dhRH237fDh2NP+6prbXtv82tI02fj4tkUkT79HcPjl2NKfJeyyCg4MRHh6OF198EVKpVNO5SMN4IhWR6jh+iFTDsUOkmtYydpo8Y8HTntoWAwMDvPXWWzAwMBA7ClGrw/FDpBqOHSLVtJax0+xToYiIiIiIiHTEDkBERERERK0fCwsiIiIiImo2FhZERERERNRsLCyIiIiIiKjZWFhQo7777ju4ubmhR48e+PLLL8WOQ9RqjB8/Hh06dMCkSZPEjkLUauTm5mLo0KFwd3dHv3798PXXX4sdiahVKC4uhq+vL7y8vODh4YEvvvhC1Dw8FYoaqKurg7u7OxITE2FhYQEfHx+cOnUKnTp1EjsakdY7fvw4ysrKsG3bNuzZs0fsOEStwu3bt1FQUAAvLy/k5+fDx8cHly9fhomJidjRiLSaTCZDdXU1jI2NUVFRAQ8PD6SkpIj2nY0zFtTAmTNn0KdPH3Tp0gWmpqYYPXo0fvjhB7FjEbUKQ4cOhZmZmdgxiFoVOzs7eHl5AQBsbW1hZWWFoqIicUMRtQJSqRTGxsYAgOrqagiCADHnDFhYtEEnT55EUFAQ7O3tIZFIcODAgQZtoqOj4ezsDENDQwwcOBBnzpxRPHfr1i106dJF8bhLly64efNmS0QnElVzxw5Re6XOsZOamgqZTAZHR0cNpyYSnzrGTnFxMTw9PeHg4IDXXnsNVlZWLZS+IRYWbVBFRQU8PT0RHR3d6PPx8fFYtmwZ3nrrLZw9exaenp4YOXIk7ty508JJibQLxw6RatQ1doqKijBr1ixs3ry5JWITiU4dY8fS0hLnzp1DTk4Odu7ciYKCgpaK35BAbRoAYf/+/fWu+fn5CREREYrHMplMsLe3Fz744ANBEAQhOTlZeOmllxTPL168WPjqq69aJC+RtlBl7DySmJgoTJw4sSViEmkdVcdOVVWV4O/vL2zfvr2lohJpleb8vfPIggULhK+//lqTMZ+IMxbtTE1NDVJTUxEYGKi4pqOjg8DAQJw+fRoA4Ofnh4yMDNy8eRPl5eU4fPgwRo4cKVZkIq3QlLFDRA01ZewIgoCwsDAEBARg5syZYkUl0ipNGTsFBQUoKysDAJSUlODkyZNwc3MTJS8A6Ir2ziSKwsJCyGQy2NjY1LtuY2ODP/74AwCgq6uLtWvXYtiwYZDL5Vi+fDlPhKJ2ryljBwACAwNx7tw5VFRUwMHBAV9//TWeffbZlo5LpDWaMnaSk5MRHx+Pfv36KdaY79ixA3379m3puERaoylj5/r165g3b55i0/aiRYtEHTcsLKhRwcHBCA4OFjsGUatz7NgxsSMQtTqDBw+GXC4XOwZRq+Pn54f09HSxYyhwKVQ7Y2VlBalU2mBjT0FBAWxtbUVKRaT9OHaIVMOxQ6Sa1jh2WFi0M/r6+vDx8UFCQoLimlwuR0JCApdrED0Bxw6Rajh2iFTTGscOl0K1QeXl5cjKylI8zsnJQXp6Ojp27IiuXbti2bJlCA0Nha+vL/z8/LB+/XpUVFTglVdeETE1kfg4dohUw7FDpJo2N3ZEO4+KNCYxMVEA0OAnNDRU0ebTTz8VunbtKujr6wt+fn7CL7/8Il5gIi3BsUOkGo4dItW0tbEjEQQR7/tNRERERERtAvdYEBERERFRs7GwICIiIiKiZmNhQUREREREzcbCgoiIiIiImo2FBRERERERNRsLCyIiIiIiajYWFkRERERE1GwsLIiIiIiIqNlYWBARERERUbOxsCAiIlJBTU0NXF1dcerUKbX2e+TIEXh5eUEul6u1XyIiTWNhQURECAsLg0QiafCTlZUldjSttWnTJri4uGDQoEGKaxKJBAcOHGjQNiwsDC+99FKT+h01ahT09PTw1VdfqSkpEVHLYGFBREQAHn6hvX37dr0fFxeXBu1qampESKddBEHAhg0bEB4erpH+w8LCEBUVpZG+iYg0hYUFEREBAAwMDGBra1vvRyqVYujQoVi4cCGWLFkCKysrjBw5EgCQkZGB0aNHw9TUFDY2Npg5cyYKCwsV/VVUVGDWrFkwNTWFnZ0d1q5di6FDh2LJkiWKNo39C7+lpSViY2MVj3NzczF58mRYWlqiY8eOGDduHK5du6Z4/tFswJo1a2BnZ4dOnTohIiICtbW1ijbV1dV4/fXX4ejoCAMDA7i6umLLli0QBAGurq5Ys2ZNvQzp6elPnLFJTU1FdnY2xo4dq+SnDFy7dq3R2aGhQ4cq2gQFBSElJQXZ2dlK909EJBYWFkRE9FTbtm2Dvr4+kpOTsWnTJhQXFyMgIADe3t5ISUnBkSNHUFBQgMmTJyte89prr+HEiRP45ptv8MMPP+D48eM4e/asUu9bW1uLkSNHwszMDElJSUhOToapqSlGjRpVb+YkMTER2dnZSExMxLZt2xAbG1uvOJk1axbi4uIQFRWFzMxMfP755zA1NYVEIsHs2bMRExNT731jYmLw/PPPw9XVtdFcSUlJ6NmzJ8zMzJT6fQDA0dGx3qxQWloaOnXqhOeff17RpmvXrrCxsUFSUpLS/RMRiUYgIqJ2LzQ0VJBKpYKJiYniZ9KkSYIgCMKQIUMEb2/veu3fe+89YcSIEfWu5ebmCgCES5cuCWVlZYK+vr6we/duxfP37t0TjIyMhMWLFyuuARD2799frx8LCwshJiZGEARB2LFjh+Dm5ibI5XLF89XV1YKRkZFw9OhRRXYnJyehrq5O0SYkJESYMmWKIAiCcOnSJQGA8OOPPzb6u9+8eVOQSqXCr7/+KgiCINTU1AhWVlZCbGzsYz+vxYsXCwEBAQ2uAxAMDQ3rfY4mJiaCrq6uMG7cuAbtHzx4IAwcOFB48cUXBZlMVu85b29v4e23335sBiIibaMrbllDRETaYtiwYdi4caPisYmJieLPPj4+9dqeO3cOiYmJMDU1bdBPdnY2Hjx4gJqaGgwcOFBxvWPHjnBzc1Mq07lz55CVldVgZqCqqqreMqE+ffpAKpUqHtvZ2eH3338H8HBZk1QqxZAhQxp9D3t7e4wdOxZbt26Fn58fDh48iOrqaoSEhDw214MHD2BoaNjocx9//DECAwPrXXv99dchk8katJ09ezbKysrw448/Qken/iICIyMjVFZWPjYDEZG2YWFBREQAHhYSj1v68+ciAwDKy8sRFBSE1atXN2hrZ2fX5NOkJBIJBEGod+3PeyPKy8vh4+PT6AlJ1tbWij/r6ek16PfRca1GRkZPzTFnzhzMnDkTH3/8MWJiYjBlyhQYGxs/tr2VlZWicPkrW1vbBp+jmZkZiouL6117//33cfToUZw5c6bRJVVFRUX1fkciIm3HwoKIiJTWv39/7N27F87OztDVbfhXSffu3aGnp4dff/0VXbt2BQDcv38fly9frjdzYG1tjdu3byseX7lypd6/0vfv3x/x8fHo3LkzzM3NVcrat29fyOVynDhxosFMwiNjxoyBiYkJNm7ciCNHjuDkyZNP7NPb2xsbN26EIAiQSCRKZ9q7dy/effddHD58GN27d2/w/KMZGW9vb6X7JiISCzdvExGR0iIiIlBUVIRp06bht99+Q3Z2No4ePYpXXnkFMpkMpqamCA8Px2uvvYaffvoJGRkZCAsLa7DcJyAgABs2bEBaWhpSUlLwt7/9rd7sw4wZM2BlZYVx48YhKSkJOTk5OH78OCIjI5GXl9ekrM7OzggNDcXs2bNx4MABRR+7d+9WtJFKpQgLC8OKFSvQo0cPPPvss0/sc9iwYSgvL8eFCxeU+NQeysjIwKxZs/D666+jT58+yM/PR35+PoqKihRtfvnlFxgYGDw1BxGRNmFhQURESrO3t0dycjJkMhlGjBiBvn37YsmSJbC0tFQUDx999BH8/f0RFBSEwMBADB48uMFejbVr18LR0RH+/v6YPn06Xn311XpLkIyNjXHy5El07doVEyZMQO/evREeHo6qqiqlZjA2btyISZMm4e9//zt69eqFuXPnoqKiol6b8PBw1NTU4JVXXnlqf506dcL48eNVuoldSkoKKisr8f7778POzk7xM2HCBEWbuLg4zJgx44nLsYiItI1E+OviViIiIg0ZOnQovLy8sH79erGjNJCUlIThw4cjNzcXNjY2T21//vx5vPDCC8jOzm50E7uqCgsL4ebmhpSUlEZvUEhEpK04Y0FERO1adXU18vLy8PbbbyMkJKRJRQUA9OvXD6tXr0ZOTo5a81y7dg2fffYZiwoianW4eZuIiNq1uLg4hIeHw8vLC9u3b1fqtWFhYWrP4+vrC19fX7X3S0SkaVwKRUREREREzcalUERERERE1GwsLIiIiIiIqNlYWBARERERUbOxsCAiIiIiomZjYUFERERERM3GwoKIiIiIiJqNhQURERERETUbCwsiIiIiImo2FhZERERERNRs/w9haLDH69C2zgAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "vampl = vpp/2\n", + "\n", + "fig, ax = plt.subplots(3)\n", + "fig.set_size_inches(8, 6)\n", + "\n", + "ax[0].errorbar(freq, a, yerr=a_sigma, marker='.')\n", + "ax[0].set_title(\"Plot of Displacement/Vampl vs. Frequency\")\n", + "# ax[0].legend()\n", + "ax[0].loglog()\n", + "ax[0].set_ylabel(\"Displ (microns)/Vampl (V)\")\n", + "\n", + "ax[1].errorbar(freq, phases, marker='.', yerr=phases_sigma, label=\"0.2 Vpp Data\")\n", + "ax[1].set_xscale('log')\n", + "ax[1].set_ylabel(\"Phase (radians)\")\n", + "\n", + "ax[2].plot(freq, vpp/0.2, marker='.')\n", + "ax[2].loglog()\n", + "ax[2].set_ylabel(\"Vpp_out/Vpp_display\")\n", + "ax[2].set_xlabel(\"Frequency (Hz)\")\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "id": "c8d2b26f", + "metadata": {}, + "source": [ + "Expected transfer function for displ/V_ampl assuming speaker is a damped harmonic oscillator:\n", + "\n", + "$$\n", + "A = \\frac{k f_0^2}{\\sqrt{(f_0^2 - f^2)^2 + \\frac{f_0^2}{Q^2}f^2}}\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "10324403", + "metadata": {}, + "outputs": [], + "source": [ + "def A(f, f0, Q, k):\n", + " return (k * f0**2) / np.sqrt((f0**2 - f**2)**2 + f0**2*f**2/Q**2)" + ] + }, + { + "cell_type": "markdown", + "id": "88247f41", + "metadata": {}, + "source": [ + "Add constant $c$ to account for phase offset from data between 20-1kHz: \n", + "\n", + "\n", + "$$\n", + "\\phi = \\arctan \\left( \\frac{\\frac{f_0}{Q} f}{f^2 - f_0^2} \\right) + c\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "dcf9688f", + "metadata": {}, + "outputs": [], + "source": [ + "def phase(f_trunc, f0, Q, c):\n", + " return np.arctan2(f0/Q*f_trunc, f_trunc**2 - f0**2) + c" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "246a00de", + "metadata": {}, + "outputs": [], + "source": [ + "# for curve-fitting, start from 20Hz where Vpp_out/Vpp_display relatively 1:1\n", + "pfreq = freq[3:]\n", + "f_tot = np.append(pfreq, freq[3:]) \n", + "y_tot = np.append(phases[3:], a[3:])" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "38797d52", + "metadata": {}, + "outputs": [], + "source": [ + "def combined_func(ftot, f0, Q, k, c):\n", + " f_phase = ftot[:len(pfreq)]\n", + " f_ampl = ftot[len(pfreq):]\n", + " \n", + " phase_val = phase(f_phase, f0, Q, c)\n", + " A_val = A(f_ampl, f0, Q, k)\n", + " \n", + " return np.append(phase_val, A_val)" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "9fbafb14", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "parameter names: ['f0', 'Q', 'k', 'c']\n", + "independent variables: ['ftot']\n" + ] + } + ], + "source": [ + "model = lmfit.Model(combined_func, weights=np.append(1/phases_sigma[3:], 1/a_sigma[3:]), scale_covar=True)\n", + "params = model.make_params(f0=255, Q=30, k=1, c=-3)\n", + "params['Q'].set(min=0)\n", + "print(f'parameter names: {model.param_names}')\n", + "print(f'independent variables: {model.independent_vars}')" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "f397b873", + "metadata": {}, + "outputs": [], + "source": [ + "result = model.fit(y_tot, params, ftot=f_tot, weights=np.append(1/phases_sigma[3:], 1/a_sigma[3:]), scale_covar=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "8dc727ec", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.plot(yerr=np.append(phases_sigma[3:], a_sigma[3:]))" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "id": "ad9c67fc", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "

Fit Result

Model: Model(combined_func)

Fit Statistics
fitting methodleastsq
# function evals48
# data points44
# variables4
chi-square 78.2486406
reduced chi-square 1.95621602
Akaike info crit. 33.3308802
Bayesian info crit. 40.4676388
R-squared 0.99930502
Parameters
namevaluestandard errorrelative errorinitial valueminmaxvary
f0 257.172206 0.11167022(0.04%)255.0 -inf infTrue
Q 15.6808948 0.33981757(2.17%)30.0 0.00000000 infTrue
k 32.6386013 0.16150818(0.49%)1.0 -inf infTrue
c-3.21994436 0.01104222(0.34%)-3.0 -inf infTrue
Correlations (unreported values are < 0.100)
Parameter1Parameter 2Correlation
Qk-0.7099
f0Q-0.6838
f0k+0.3620
" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 96, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "id": "18db6fa7", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "f0_uvar = result.uvars['f0']\n", + "Q_uvar = result.uvars['Q']\n", + "c_uvar = result.uvars['c']\n", + "k_uvar = result.uvars['k']\n", + "red_chi = result.redchi\n", + "\n", + "fig, ax = plt.subplots(nrows=3, sharex='col')\n", + "fig.set_size_inches(8, 6)\n", + "ax[0].errorbar(freq, displ/vampl, marker='.', linestyle='', yerr=a_sigma)\n", + "freq_range = np.linspace(20, 1000, 1000)\n", + "ax[0].plot(\n", + " freq_range,\n", + " A(freq_range, result.params['f0'], result.params['Q'], result.params['k']),\n", + " label=f'Fit: $f_0$ = {f0_uvar:SL}, $Q$ = {Q_uvar:SL},\\n$k$ = {k_uvar:SL}, Red. $\\chi^2$ = {red_chi:3.2f}',\n", + " color=\"orange\"\n", + ")\n", + "# ax[0].set_title(\"Plot of Displacement/Vampl vs. Frequency\")\n", + "ax[0].legend()\n", + "ax[0].loglog()\n", + "ax[0].set_ylabel(\"Displ (microns)/Vampl_out (V)\")\n", + "# ax[0].errorbar(freqs2, displ2/vampl2, yerr=displ2_sigma, fmt='none')\n", + "ax[1].errorbar(freq, phases, marker='.', linestyle=\"\", yerr=phases_sigma)\n", + "pfreq_range = np.linspace(20, 1000, 950)\n", + "ax[1].plot(\n", + " pfreq_range,\n", + " phase(pfreq_range, result.params['f0'], result.params['Q'], result.params['c']),\n", + " label=f'Fit: $f_0$ = {f0_uvar:SL}, $Q$ = {Q_uvar:SL},\\n$c$ = {c_uvar:SL}, Red. $\\chi^2$ = {red_chi:3.2f}',\n", + " color=\"orange\")\n", + "ax[1].set_xscale('log')\n", + "# ax[1].set_xlabel(\"Frequency (Hz)\")\n", + "ax[1].set_ylabel(\"Phase (radians)\")\n", + "ax[1].legend()\n", + "\n", + "# ax[1].set_title(\"Plot of Phase vs. Frequency\")\n", + "# ax[1].errorbar(freqs_phase, phases, yerr=phase_sigma, fmt='none')\n", + "ax[2].plot(freq, vpp/0.2, marker='.')\n", + "ax[2].loglog()\n", + "ax[2].set_ylabel(\"Vpp_out/Vpp_display\")\n", + "ax[2].set_xlabel(\"Frequency (Hz)\")\n", + "ax[2].set_title(\"Plot of RP Output Vpp/Display Vpp\")\n", + "\n", + "plt.suptitle(\"Frequency Response of Speaker Driven at 0.2Vpp\")\n", + "plt.tight_layout()\n", + "# , $Q$ = {result.uvars['Q']:SL},\\n$c$ = {result.uvars['c']:SL}, Red. $\\chi^2$ = {result.redchi}" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.10.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}