From cc902ab7784334348038e14a15ff9c6242587776 Mon Sep 17 00:00:00 2001 From: mirjagranfors Date: Wed, 3 Sep 2025 14:58:20 +0200 Subject: [PATCH 1/5] Created a tutorial on creating custom scatterers --- .../DTGS171_custom_scatterers.ipynb | 1511 +++++++++++++++++ 1 file changed, 1511 insertions(+) create mode 100644 tutorials/1-getting-started/DTGS171_custom_scatterers.ipynb diff --git a/tutorials/1-getting-started/DTGS171_custom_scatterers.ipynb b/tutorials/1-getting-started/DTGS171_custom_scatterers.ipynb new file mode 100644 index 000000000..0b5f6c179 --- /dev/null +++ b/tutorials/1-getting-started/DTGS171_custom_scatterers.ipynb @@ -0,0 +1,1511 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "9f061bf4", + "metadata": {}, + "source": [ + "# Creating Custom Scatterers (including Biological Scatterers)\n", + "\n", + "TODO: add link to Colab" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e7fb75d7", + "metadata": {}, + "outputs": [], + "source": [ + "# !pip install deeptrack # Uncomment if running on Colab/Kaggle." + ] + }, + { + "cell_type": "markdown", + "id": "2a3083b8", + "metadata": {}, + "source": [ + "DeepTrack2 allows you to simulate microscopy images be generating scatterers, which are abstract representations of objects that scatter light. These scatterers can then be passed through an optical model to produce images.\n", + "\n", + "In this tutorial, you will learn how scatterers are defined in DeepTrack, how to create a custom scatterer of a specific shape, and how to defince scatterers inspired by biological structures." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "c830d4a2", + "metadata": {}, + "outputs": [], + "source": [ + "import deeptrack as dt\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np" + ] + }, + { + "cell_type": "markdown", + "id": "c2df8fec", + "metadata": {}, + "source": [ + "## 1. Understanding Scatterers in DeepTrack\n", + "Scatterers are defined in three-dimensional voxel space. A voxel is a small cube in 3D space, analogous to a pixel in a 2D image. Each voxel has a value representing whether the scatterer occupies it, either being `True` or `False`." + ] + }, + { + "cell_type": "markdown", + "id": "b0bf12f4", + "metadata": {}, + "source": [ + "### 1.1 Creating a 3D Scatterer\n", + "\n", + "To create a scatterer, you first generate a three-dimensional grid of voxel coordinates. Then you evaluate a function at each voxel to determine whether it belongs to the scatterer, producing a boolean mask.\n", + "\n", + "For example, a spherical scatterer can be defined by the function $(X^2 + Y^2 + Z^2) < R^2$. Here, $X$, $Y$, and $Z$ are the voxel coordinates, and $R$ is the sphere radius. Using this function as a mask will assign `True` to the voxels inside the sphere and `False` to voxels outside." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "5f28e558", + "metadata": {}, + "outputs": [], + "source": [ + "# Set up the grid\n", + "x = np.arange(-12, 12)\n", + "y = np.arange(-12, 12)\n", + "z = np.arange(-12, 12)\n", + "Y, X, Z = np.meshgrid(y, x, z)\n", + "\n", + "# Set the radius of the sphere\n", + "radius = 11\n", + "\n", + "# Create the mask for the sphere\n", + "mask = (X**2 + Y**2 + Z**2) < radius**2" + ] + }, + { + "cell_type": "markdown", + "id": "3615c1b5", + "metadata": {}, + "source": [ + "Here, `mask` is a 3D boolean array representing the scatterer. You can visualize it using `ax.voxels`:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "51a3cf76", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZ0AAAGrCAYAAAAb/EoSAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjEsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvc2/+5QAAAAlwSFlzAAAPYQAAD2EBqD+naQABAABJREFUeJzsnQeYXWXx/98t2fRKSIBAIPSSQOg1Cb13kKJIUSmKohQVRUCEn4KAIAjSRBSVXqWHQGipJPTeawgQEkhPdvf+n+/hM/kPr+e23bubGzjzPIcNu/ee8p5z5jvlOzM1uVwuFzLJJJNMMsmkHaS2PQ6SSSaZZJJJJpIMdDLJJJNMMmk3yUAnk0wyySSTdpMMdDLJJJNMMmk3yUAnk0wyySSTdpMMdDLJJJNMMmk3yUAnk0wyySSTdpMMdDLJJJNMMmk3yUAnk0wyySSTdpMMdDIJNTU14be//W1YUuTtt99Ozvm8885r0+M0NjaGX/ziF2GFFVYItbW1Ye+99y57H9dcc01yrk8++WSbnGMmmSxpkoFOG8uee+4ZunTpEmbOnJn3M9/5zndCQ0NDmDZtWrueWyaF5eqrrw7nnntu2H///cM//vGPcPzxx+f97KWXXpoAzDdFXnzxxcRQkQHwTV+LTMqTDHTaWAQoc+fODbfddlvq3+fMmRPuuOOOsPPOO4elllqq3c8vk/zy0EMPhQEDBoQLLrggfPe73w0jRozI+9lvIuicccYZGehkUrZkoNMOnk737t3Df/7zn9S/C3Bmz56dgFMm1SUff/xx6NWr1+I+jUwIdS5YsKBV+9B7lsnilwx02lg6d+4c9t133zBq1KhEicUiMBIoCZwkb775ZvjWt74V+vTpk4TlNttss3D33Xcv+vxLL72U7PPQQw/9yn4ef/zxUFdXF375y18u+t2MGTPCz372syQn0bFjx7DqqquGc845JzQ3N5d9HaNHj05yEzfeeGNi4coD0Hkr9PT555+H+fPnJ8fq169f6NatWzjiiCOS33n5+9//HrbddtvkMzqftddeO/z1r3/9n2Mp/7HTTjuFvn37Jtc6aNCg8L3vfa/g+alZ+lFHHZWEKW+99daiyufEE09ctC5rrLFGkh+yhuuWM3r44YfDCy+8kPxbm9YgTVZaaaXkc4888siiz2699dZf+YzW4oQTTghLL7106Nq1a9hnn33CJ5988j/7uvfee8OwYcOSz2h9d9ttt2TfxWThwoXJfVlttdVCp06dEq95q622CiNHjvzK515++eVwwAEHJOehtdW1n3LKKYv+/s4774Qf/ehHye/1d+1Hz6P3aOTF6HeSbbbZ5ivrU2wtSnkmfc7uwgsvDKusskryWXlXdg167vSO6Fo32mijcOedd6bm0nQeuh49c8svv3zRdcykHUSjDTJpW3nggQekzXIXX3zxV34/bdq0XIcOHXKHHnpo8v8fffRRrn///rnu3bvnTjnllNyf/vSn3HrrrZerra3N3XrrrYu+d+655yb7u+OOO5L/nzVrVm6VVVbJrb322rl58+Ylv5s9e3Zu3XXXzS211FK5X//617nLLrssOU5NTU3upz/96VfOQ/s6/fTTC17Dww8/nHxu6NChuc033zx30UUX5Y477rhkfwcddFDu29/+dm6XXXbJXXLJJbnvfve7yWfPOOOMr+xj4403zh1++OG5Cy64IFmLHXfcMfncX/7yl0WfmTp1aq5379651VdfPbnOK6+8MlmLtdZaa9Fn3nrrreR7+ruksbExubaOHTvm7rrrroLX0dzcnNt2222T8/7BD36QHHuPPfZI9vezn/1s0Xpee+21uTXXXDO3/PLLJ//WpvuTJrfddlvyOX3ePqt7Lvn73/+e7Hv99ddPjqvrPvHEE3N1dXW5Aw444Cv7+ec//5mc184775x87pxzzsmttNJKuV69eiXXXEh0j/XdI488Mlmz888/P3fwwQfnzj777EWfeeaZZ3I9evRInolf/epXucsvvzz3i1/8IjdkyJBFn7npppuSZ+60007LXXHFFcl+dT9WXHHF5JmSvPHGG8m913Xp7359Cq1Fqc+k3V89zyuvvHJyDXpm3nnnndzzzz+f69mzZ/I3rY/u3/Dhw5N9+HfE1l2fGzFiRLKefi0yWXySgU47iJTisssumyhrL3rp9GLcf//9yf9L6en/H3vssUWfmTlzZm7QoEGJ8mlqakp+p59bbbVVAlCffvpp7thjj83V19fnJk6cuOh7Z555Zq5r1665V1999SvHPPnkkxOF9+6777YIdAYPHpxbsGDBot9LsemFF+B40bVKUXmZM2fO/+x3p512ShSLiZSWjuOvJRYPOgsXLswdeOCBuc6dOy9ax0Jy++23J98966yzvvL7/fffP7mO119/fdHvpKzWWWedXCmiz+nzsZjy23777RPAMzn++OOT+zBjxoxF91ngItDwIkUuJRv/PhYBxW677VbwM1LOMmikvL3480q7R2PHjk2uQaDowUm/03NR6lqU+kza/RVAfvzxx1/57HbbbZeApBlXdv5bbLFFbrXVVvufddd7ovcvk+qRLLzWDqKw10EHHRTGjh37lTCFQmv9+/cP2223XfL/99xzT9hkk02SsIiJQlUKG+l7Fl4QfVfhg1mzZoVddtklSdz+6le/SsIMJjfddFMSpundu3f49NNPF23bb799aGpqCo8++miLrkVhvQ4dOiz6/0033TQJS8XhL/3+vffeS2LxJgrXmCgkp/NRcl4hRf2/xHIod911VxIyKiSK8SvMo89q7Xbcccei56/P6X4cd9xxX/m9wm26DoW32kJ0DxXuMdG90X1QOEuiMJhCTwcffPBX7pfOVWupUF8h0boprPXaa6+l/l2hPN1z3aeBAwd+5W/+vPw90vqLUakQmPY/efLk0Bop95ncb7/9kjCgyWeffZaQOxQeFBvUvq9zVDhW1/7BBx98ZR9HHnlksoaZVI9koNNOYkQBIxS8//774bHHHkvAyF4KKSDF0mNZa621Fv3dRHFuUVYnTpwY1llnnXDqqad+5Tt6Ae+7777kpfWbXnBJWn6pFIkVVs+ePZOfitHHv1ec3sBE8sQTTyTHV75CSkzn8+tf/zr5m31OICRlo/yEcjp77bVXkguK80OSP/zhD+H2228PN9988//kUPKJ1nC55ZZL8iXF1riSEq+bFK9k+vTpyU8DC+W84nv2wAMPFL1fv/vd7xLQWn311cOQIUPCz3/+8/Dss88u+ruAXTJ48OCC+xHT8rTTTluUc9E90Dlo3/5etkTKfSaVy/Py+uuvJ4aBnvV4H6effnpJ+8hk8Uv94j6Bb4psuOGGYc011wzXXXddomj1Uy9Qa1hrUkaSDz/8MLH2lllmmUV/k8LfYYcdkuLGNJFyaonksxrz/d6S82+88Ubi0WkN/vSnPyVKTUl/eR6iJFsiWVa3QGTcuHHhv//9b7j//vsT6/z8889PfifPz0TWrZTYH//4xwR0lFSuVim2Pnb911577Vfuo0l9feFXdfjw4ckaiw2p5+Kqq65K1vWyyy4LP/jBD0o+z5/85CcJyCvZv/nmmyfGg+6JjKOWEFC8lPtMeq/Lvi856aSTknufJvLKCu0jk8UvGei0owhgZKXJApXHI6bRxhtvvOjvK664YnjllVf+53ti69jfTaRMFJL5v//7v8TiP/rooxOF4z0hhd/MilzcIgCRtyKWkbf684WNxNrTpuvTWmntrr/++q8oUP39mGOOCbvvvnsSZlMtVDHlrDV88MEHk/CM93bS1rgc8SGqlojul0Qsq5beM7G5xBrUpnsvIJI3rDVbeeWVk888//zzBfchwD/ssMMSkDeZN29e4umUer35/tbaZ9KuQeHdanmuMylfsvBaO4p5NQpfPP300//j5ey6665hwoQJSe7H03uvuOKKhIoqirHkrbfeSsInCkPJaxK1VMr8n//856LvKe6t/chTiEUKxOda2tPSN8teonCNrGovCjf5z0iGDh2a/EwLsUn5CIzk8aiAs5g1rjVW/uAvf/nLV34vr0DKUjmylohChrFiLkdkuffo0SP8/ve/T81lpdGrvcTdLOQRyuq3NVMISiCkLgvvvvvuVz7r11v3KV7/iy++OFmz+Holadecby1a+0wKkOXRXn755WHKlCllr1Em1SGZp9OOovjyFltsscgjiUHn5JNPTsJuUnxKdMtyVfsVgcwtt9ySEAgsaa+wgdW4yMvR33/6058mSlg5C4GSgEhewOGHH56E9wRgzz33XGLNipigeH17iZL8CqftscceyfnK4r3yyisTReIViK5XxAjVscgylkeiz0khCzDSRD3RBF4iOehzUkr5RMdXbYlqU7QG6623XhKO0j1RSMk8jnJF66v7cdZZZyXKXtel/EypovPW9wWcG2ywQRLOElAIIFSnteWWW/4PUHqRQSKFrPPQc6NaJ93nH//4x4s+c9FFFyUkFe1fxAY9j1oD7V9GkETPi0J8CqtpnwIJeYZxtwwZAgIo1djIeFD+x2qw8q1FJZ7JSy65JLkG5a1EEpD3M3Xq1OQ8lSd95plnSl7zTBaTLG763DdNVMeiZd9kk01S/64aCNF3RZ/t1KlT8jlfe/LnP/85+f4tt9zyle+JbiqK6a677rrod6Lhqh5j1VVXzTU0NOT69u2bUEvPO++8r9Cey6FMiyrrxaipMcVZ+9PvP/nkk0W/u/POO5M6DV2XKOCqs7j66quTz1kdyuTJkxMa9sCBA5O6m379+uV233333JNPPpm3Tsfk0ksvTX5/0kknFbwWrYsoy8stt1xSJyWqrfblqcPlUqZFbRZlWZRknYNRhvOtj61nTDnW/4tGLpq01kn1V6pt8tefJqKA61nRcyP6uOpk/u///u8r91miOpd99tln0fO1xhpr5E499dRFf58+fXruiCOOSJ6Vbt26Jefy8ssvJ/T3ww477Cv7Uj2Q6O6iO/trybcWpT6T+e6vf0dU37PMMssk92/AgAHJM3LzzTcv+ky+dc9k8UuN/rO4AC+TTDLJJJNvlmQ5nUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3SQDnUwyySSTTNpNMtDJJJNMMsmk3aS+/Q6VSSb5JZfLhebm5jB//vzk/zt06BDq6upCTU1NsmWSSSZfD6nJ6W3PJJPFKHoEGxsbk23evHnJ/xvYCHgMgLTV1mbOeSaZLMmSgU4mi1Xk3SxcuDD5KdG/Y+8nA6FMMvn6SAY6mSwWMUAxwDHwWLBgQfIzDqnp8x6EJPpOfX19smUglEkmS4ZkoJNJu4seOYFNU1NT8v/mxej3+UAnbR9pnlAGQplkUt2SgU4m7Srm3QhwBAgeXMoBnVhiL8j24UFIPzNSQiaZLF7JQCeTdhE9ZgIaAY7+HQOOfcb+3lpw8CCU5gkZEGUglEkm7SsZ6GSy2MJpsXz88cfh1VdfDZ07dw69e/dOti5dulQEGNJASMAXExMyEMokk7aVDHQyaVMx78bIAmlKXX8T2Lz33nth5ZVXTqjT06dPD1988UXikRgA9erVKwGktgShOCeUgVAmmVRWMtDJpM1rbwp5N3PmzAlPP/108vn11lsvNDQ0LAIBAZaARwBkIKS/Gwhp69SpU0XOVZKBUCaZtL1koJNJm9fe5AOcKVOmhBdeeCEMGDAgrLHGGslnCuV0BEIzZsxINoHQzJkzE9CRB2Qg1LFjxzYBIR1T4LPUUktlIJRJJq2QDHQyadPamzSlLO/n5ZdfDlOnTg2DBw8O/fv3bxGRQPsxANJPgZByQD4cJ8+oEtf10ksvJYA2cODAReeWeUKZZFK+ZKCTSbuSBQQMCqcJDNZdd90kR1Mp9pq+ayCkbfbs2aFr165fASGRBloiBjrKOZn3YyBr1ysQMlKCgCgf6GaSyTdZsoafmbRp7Y2JFLSIAq+88kpYaaWVwiqrrFLxwk0p/KWXXjrZJKr5MRB64403kvxR9+7dFwGQNoFDueIBVQDjQUi942IQMk8oA6FMMslAJ5MK1N4ozFUonCZAev755xMA2GCDDZK8SHuIvKl+/folm0QdrM0LEltO/28gpK1nz54JOLQVCJkHlIFQJt9kycJrmbRpOE1Ao3CalPuQIUMK5lgqWRxaisydO/cr4Th5Rj169PgKCJk35sNr5UpaOE77jXNCGQhl8k2QDHQyaZPaGz1Wb731VhLWWnXVVZOQWin91OIGoO0lOrZAyEgJ+ikPTsCjMJzo2t26dUvCgpU4VrxlIJTJN0Uy0MmkZNGjoryIwlKiKudTivr7s88+m3x26NChieIudf+LC3TSzkXnb17QtGnTkt/5GiF5b5UqVPVeUD5iQjbQLpOvg2Sgk0lJIoUoy//NN99MlPD666+fqgA//fTTBHD69OmT0KHLSdRXE+jEovCarldsOPOGDISsTkieUKVBKJ4lFPeNy0AokyVNMiJBJiXX3lgYKC3nos+89tpr4d133w1rrbVWUvD5dVKIuhZ5HSussEKyaQ1E/zZPSKFErY0vVG1p3zgDEwNeAyGBvu5DPhCqNqDOJJM0yUAnk7Ja2RjoeFEY6plnnklyPZtvvnli8X/dRWsh0oG2FVdcMQFdA6FPPvkkvP766wkYeBBqad+4ckAom6qaSbVLBjqZlFV7o58+9/DRRx8ldOhll102rLnmmi2iHH8dRGuk3JU2kSa0Rp9//nkShlPnBVG0rW+cAZEvjK0kCImmLeLD8ssvnw20y6TqJAOdTMqqvTFPR59RKxv1T1PuZpllllms511tonUyD2fQoEHJegmE5Al9+OGHSZGsKNiemNDSvnExCOk477//ftJeSDTwbKpqJtUkGehkkrf2Jo2dpv8XII0dOzZRYFtssUWSu6iEfJ1yQLFIyYtcoU2iNTQQUqeGF198MVlHH45rTd84A5k4L6fN/z2bqppJe0sGOpkkIqUkq7hY7c1nn32W5C5UJKn6m0pby98UxWcdq607g8DAQOidd95Jum+3tG9cnHOzfI//u4FQmieUTVXNpC0lA51vuJQyRtoscylCJcmVi1h99dUrfi5SgArZ6RzkEbS0N9qSKAKUvn37JlvcN040dTUvFUHDg1ChtSkEGKWAUDZVNZO2km/GG51Ji8NpElngamWj8M/aa6+dKMFKi5SrGHBSrFJ0ol8rIV6J3mhLoqT1jTMQ8mtj4Tj9tLUpt41QqSCUjXHIpBKSgc43UOLam3xFhvrb22+/ndB/1f5FCXGrzK/kuVi7nNVWWy0st9xyi0J8UqxWB6Och7wtUZTlBVlHgPZKhi9uBSuSgYgBNnvI1kZAJFKCQMn6xhmbraXiQcgPtBMA6TgZCGXSGslA5xsmpY6RloJ57rnnwqxZs8LGG2+cWNL2+UqBjo6h7gUKHW2yySaJJ2OsOYla7YiKrS1uS6MiVP3OJ94r1RFgSRC/NhLrG2cte7SOkydPXrQ2AqSWALTvni3JQCiT1koGOt/gMdL5lJCUlsBACl3sNJ/A1nd8nU5LRYQEhdPiY+QDNGtBo031J/qcADHuCOApyC0txlwSRdeqTZ6iaOxGmdba6N8KoQrUfd+4SoOQAEhAJMlAKJN8koHON0BKHSOtvynMpZDaGmuskbR7SaNMt8bT0XeVE9ImMoIf/1yO6DtSnNq0D+sIIDCLizFtk3fwTREpebUi0qY1lzdp4bhKeokehOJZQgIh7wllU1UzkWSg8zWXUskCCs/Iu5GlutlmmyXKPE1aAzpSQArZKUxm4bS26AgQF2N+8MEHScNOESE8+6s1dTDVLDGRQP8WqGizvnGxl6jPeBCSR9malj2SbKpqJmmSgc43fIy0RJ6BWtkoHLPRRhsVZIi1NLxm4TQpNPVnK7XmpJLFmF7JlktBlixJDdmLUaZjL9FASKFVebtaP782rW1eWgiEJDq+7pUMgQyEvt6Sgc43uPZGnxHzSW1Z1llnnUVJ6UJSrqfjw2n5QnbtIQKUpZdeOtkk8ugMhDwF2ZhxSrwvqfTscinTej7i5qXq3aa1kUGi9dH6xaHKSoGQntOnnnoq8bCNop2N9v76SgY639Bwmix91d7o7+W0sikHdGyYm0J3m266aaLUqkVkUXsKsmd/CYRtaqgp2SXJy2ntudqIBm0WqjQQEklBhkql8mUehEQLt95+RkyQMZBNVf16SQY637Ax0hLlOFT3Iq9DyfxyWEylgo4x4KSQNPCt2jsLePZXGj1bayvFak06W5rzaC+p5Ln5UJtEayFCgjY9S+oiobXxHbTLaV5q4VoDIH/uForTMbXlo2hnILTkSHVrgkxaVHtTqJWNwEatbDRG2kJN5YhZovlCOPq9cgLKm2jUgejN5VbHL25Jo2cr5yVAT8t5VBs9u9zwWrmia/d94/RcWbcEAbQ1Ly2VtGFGTNo55xvjYJ3Qs6mqS55koLOEi6xEhYZUCGgeRdrLpvCIwmmySLfccstWhUPyKTZZoSILKCRSbeG01oiuU0pTwKImp3HOw9OzLSfU0jEFlZD2DgXqmfN94wTOBkKetOFb9ngiidazVJBo6VTVDISqRzLQ+RrU3sjqEztMEr9Y+py6FisZrM7Q2lrz8nnQ8SIPQIAj63eDDTao+nBapXMepmT9mALvCbU1Wy+Wxalgda1ppA2tkbxEhS59Tz19vqXtjMoBoWyqanXI11czfIPIAqbgYyqzXnaFhWSViwptMfnWiL2sOpaxj9SbTQWla621VlKMWAlQqzYpdF5xuCm29HUP4salbQnKbR1eay1pQx6x5cusb5yFZVvb2LUYCOXrlpCBUPtJBjpfg9ob34rERJ6PEvkKcYmdVqlCSO/pKIymY0hpFCoo/aZJbOmnKVlrzmlKtpJKr9qZdgo9atKsTZtVjlHeodZFRbwylrQmFo5rzfrkAyHroC3JQKh9JQOdr8EYaXux9HufyG9Nm5l8YvtSOE0KQnH8r3s4rdJKNh8923fPbs09qzZPp5jIINLzo7EZOndbH3mLafT11nQXTwOhYlNVMxCqrGSa4mtSe2OjADRorS0T+WZFq52NlERrw2lp+692S70t6NnyTG1qqKQSLWmWFDEigUQ/lQ/TZn3jPH1dOTN9Pgahlq6PH+MgyUZ7t71koPM1qb2RqKpbQ7/ayvMQmIksIBFTriWU60Kia1R+SJautbBZnCyw9qZnW180NS71LWnibgACrK+Tp2PPdqn0dWtemgbS+tmaEReFQCibqloZyUBnCai9KdTKRi+EKLsCJw1a0yC0thDF3ZW/Eagp7FFqB4NSRUAjSreuR4pD7fgVvpOy8Qp3cYbx2sMD0z2OW9JY41LrBmAFqralAfOSpATLAcm05qUG0vIW1W7J2IW2Pi3tG1cMhPS8KnxtxJBsjENpkoFOFYoeaoFNKa1szPOQ4jH2VKXPRXRrFf1ZOO2jjz6qqAL++OOPk3Cdch5WB6MX11hgUiay+AVMxgKTF1TpBHw1ip8RJNFzYSBk9GwPzFK2S5qnY0ZVpUDaQEiGkjxngYEHodYU8noQUpNSI/JkA+1Klwx0lsAx0hIlWKVwBAJqpPn4449XZLhaWjhN56PO0LIufVeCSgKaGo4qx+Enh8YsMBvRLBBS7kqfNWUiEPomTA6VIkujZxswK/+hxLw2hee0PtXeuNTndCo54mKllVZa5ClqjdLmLGl9ioUrC523gYokm6pammSgs4SNkdbfFXaSd7Duuusm4a5KAkEcTlNthepvvOIyplxbAFohSRtfbQl41QlZWMVYYNXUmqY96dnqhSavUD+l/OQF+O7Z1eYdtsbTKcdTTJuzpDUqJVyZJla2YOK7Z9t1SbKpql+VDHSWoLk3ChsojixLLW5lU6kx0mneR2vHG8Ri3QtEt95www1blKeJE/Bpk0O9MrFZLV930TUb+0uhSoG7AbONrfahptbSs6vN02nJnKU4XGndJGyd0p4bi0oUAstiU1UXOBD6Jk1VzUCnSmtv4s/phVASWSEDEQbih70SoCPrWGCg8ynkfbQUdEppBtrSly1tcmjchFIAZRZ/KUPbllTxoVl5e2ljq8071Ge8ld+apHtrzndxeV/5wpXaxIxTGDfOmQkg7PkvJ3Tpoxd13+Cpql/Pt+5rNPdGn1EbFb0EokLnIwu0FnQsmZ8WTqvEsWTVKVynkFh7NAONW9Po+Jb7sKFt1hVAQFSNYafWSL6OzZ75ZRNDtSY+6V4OPXtJ83Ra0jfOjBfLmVnzUklr3rmabygIZaCzGMQSjcVqb/Sgy/NQCEThtELhoZbmWYxyLU8qXzittZ6OrkNhQb2o7TGqOk20dsp/WQ7Mqt6lcBXbN6q2gVBckLkkveSlstf8xFCfdE+jZ5uH2BYhysXp6ZT73CgsJhD69NNPk/8fM2bMIuPFmsC2tm9cMRBa0qeqZqBThWOk/Yhn1d2IClrsoWoJkcDXxqg/mxRtKVIq6OgzCuHIs1BLnlKuo71enrgrgMJOlvtQ+M8S0KZslyRpab4tHz1b61Io1PR18nSKiUBY0QABjaIDMqIsXOmJG7ZGrRl7XpMHhJb0qaoZ6FRZOM2PeN5kk02SHEUpUm7IS8l2he1UG6P8Srmx6WKKTdeqcJ06XOs6LBxRjeLDTir28/NyzOLX+oq4IUXjh5Ip3FLpQtnWSqXqdNLyHaZg/YgCA+aWdode0uqKJBaliBmVRuv3ffViEKptZd+4JX2qagY6VVR7I5ddgKOXvNwRz6WCjj4jJaqQksJpelnKlWLHknUsD0pWcUs6XC/uFySel2MTV6VQ5LkpDyKgOfvss8PDDz0UOtTWhpVXXz3suOOO4Xvf+14ys2hxS1usobyaONRk3qHvDl2ugi3GAqtGienSEiNuxH31LCeUxh7s1q1bxTtoexCS8XrggQeGu+66q2QDtq0lA50qqL3xNOWWzqQpBXT0AihHpPNSWKDUcFqpno5n2VViYFx7iV7MU089NRx88MEJhTsWgb8UidbuhOOOC7rymrq6MH/BgrCb4v7NzWHcyy+Hi7RddFHo2qlTWHOddcIee+wRDj300EUTNYvJH/7wh7D11lsn96Y10l4NUxVq8la+754tBevzZKZg84WTlzTQKQUoPa0/jT34zjvvJL8rZY1aCkIykFQ4vjjyqPmkJvd1b+m7mMS8GwOCfA+oAYE+t95665VUJJkmCpXJo1DuJF84TeEuWWDqYNCaKvXx48cn7CdPOhCwKuYvy1dFqy1tyWMki7ZWQhMnTkxeRCnOHbbdNnwxe3by+0719YnXstNOO4XDDz88HHLIIeH1V18Nvfr0CR9PmRJkK87UCx1CODmEsJPb59QQwqQQwpNaI40I5/e1NTVh0802C9/5znfCAQccsKi+SkloraMs0K1HjAivv/HGonMYtNpqief0/e9/P0nylyOWeyn3e5UUr2D1TMjaz0fPFpFFP9uqb2BbiK5J5605Ui2VHKBgIOTXyICotR3GlReWISWvp1o6U2Sg00bhNN1svVRSvvkeGvUwE1hUAggU/tH3tZ984bTBgwcvmunSWoUt61Z1Nr5oVQpcwNmaztCtAZ3rrrsunHnmmWHXXXdNlLW8Rr9fAa/O+8QTTwxXXXllAhxacfl7pyhc5ABDABL4uz4n02EFtR8KIQhO/xBCSIf3L0XfOTOEMEodkGVcqAsD++vbr1/o2KlT4tnaMSTHhxB6AFw6h4/4vTyntQYPTjynww47bFFhYyHQkfEi4ka1iO+Jpk0hWKNnSyHqXVFucUkRhcL1jitfWSlpdhR2qxXSOx1T2MsBIYXr9T4YoFWDZKDTRmQBKWFrvRGL/i6mi5LUlQIC7U/H94pWXpTOQzJ06NCKJbyffPLJhMEjK11gJsCTVa0K+NY+2OWAjj6r8JVATmt6+623BsHdXP7epaEhrLHOOmGrrbYK11x9dZg5e3bQ2emBXwZgkZo7K4TwZZbi/8uHzmuZoOaO7m/7hpCE1VaVF5NyXgqm/lQvfAhhOICmrNbL7G+igEHPAYCjn6uEEH4ZQvj/d+/L83vSncMXfL5L165hw403Dvvvv/9XPCcTGTLKp4gUUa2i+yWyhhSsEu56b6RQvYKt5g4SMmAUStYY+LaSZkdo0aZ/l1tHJW9aeUaFOzPQ+Zq3spGFIWtT3QO8yNpTOE0Pj7yCShXfydXX8UUOiL0oWZCVDFdNmjQp8eBklenlUzitUrN1ioGOwPWss84K++67b/jNKaeE9z/4YNHftg8h/ELdt6Mw13Q96ABEE56NPrN3COE4JcgLnI88lN+HEB6Jfl/HJr9y2xDCFiEEBRunhBCO5phHhRAO4dixzAWU7gkhjMaTkgg0B4QQlNXZK4SwLCD2E4EJx9EL+5TznJZaeumw+RZbJDmpnXfeOfF0FLKrZtDxIqNFhoPO2RSsni29P56eXU0dJGQwalPBdnsD9XQHQlZHZeG42AB58MEHwy9/+csk2lEtoFM9d/FrVnsjt9gn9vU3WRtSmgp7yCuoJBAYkUDnogdM1mOlvKhYdAzVsugBFzutParWJTfddFM45sgjw8Lm5nD3nXcmylyv2ELAYx8UfGdyLTuhoN8BgB4IIbwE4Ohzr2ifIYStCJ3Fr+R7eB/yempR/AKYyQ7QngMMLuZcBATNeDc7F7iWzuSGHgMET+W7AstxIYR/s+lzCwDLI9hqAKJXzHP65JNw1x13hDvuuONLMGxoSHJSP/vZz8LGG28cql30bghQRLgw0oXvBGAdJGysRWvo2ZUS6zDdnlLnQm0Sa/WkzZqX6p005qDOUXm1xdHaqJBknk4Fa288O83nWPQZWZ96gYYMGVIym6kcUXxZ+zeuvryotqgfkQclT02WlRRaJYFT6yjqrRqC+sJMJfyPPfbY8O9rr01yHl+g4Ofy8/wQwpAi+1ZI6zco8AbyLAITSS0exrohhO1CCJsCTqej7LsRglsv2qdenPdR/AKLJ/idbcq8bMw+h3KuJheEEG4PIYhcfXYIoX+07ynOW5voQmsCobVDCDsAgBaAEmBdGEK4l999Wb8eQqe6urASpIRqoXPHIoJLMc/M179o0zvl2xgJkNqTAafQmpS93udqkcbGxkVArbD6kUceuWjw4aWXXhpGjBjRJjO3ypUMdNpojLS8DX1G4S0pabFQ9IC21fhlHUOAoBdXQFfpF9ATEvSCK5xWSQXm80/KFVm8X+G7X518cnjv/fcTYJiPMlf4yh7cDuRkNsbb8Welz/wrhHAF4LIy4bJlUexPRnmbWgcagZyPPl8oeCjP5owQwsOA3+YAxbN4JHV8ZnnCY0/jpeyAJ1XoidD1HhNCeJ380HxCawvYb2/A8guuYzDnW8vnjJSgazVSwhprrx222267hCZeDaJQtIDDiCnFxNOzLeleKj27UqJ6LXkRFs6uRvn444/DKaeckuR1BOoyhKWDLrnkkqSt1uKSDHTaqPZGORZZ7IpNK5SmRHtbvARGSjAwaG2NR6F2Obp2ERLUGFIgGuerWju7R8wyUb61tgLNG2+8Mfzo6KPDwqamRDHLejciwHdCCN8ltDURxfo2+5NHIZt5SzwWhasku4QQTsyj5AUKIiw/HkL4uwMdxZ9lG64fQtgzxaNSiOzIEIIyS/uHEI51Mev5hN8M1AQcSY0PPwVoWxPeG5gnvHcMYPhTFz5cyHXZfl/i/GsB4G1CCN+K2HVG51Zuagy/u/XWW8P22ysTtnhFz5aMGNWyVIp67Fv6tMVsJUUWFFXwxJ1qlAsuuCBZX91rgdDo0aOTkHipAN8WkuV0WlF7kw9w9DDK69BPhaDaqgWMLC09UHrBBAB64SotfpS0tctpTUfr66+/Psk1yNIS/VdemZ/d85e//CUB6MmTJ4dzfv/7RQyvWsJG+nkqVn8gFKbtx6qdQLFOJFci8DDZD8WdT+1ovzIjruffJ+CZWO7m/hDCfZyDVONmeBX/h9eRlsMRuG3Edgz7OZlzWAo228t4YQ0A2rbsW2D6O/ZxIaBn0gHvRtv3IDtcJRABfO5j68Q1GClhRdan2qS1xaF6B2VwabM2RvFsJT8tNC3hviTkdFqqI6z2T50kxHZc3JKBTpmtbIp1hpZ3I6tdD7lCBm0FOCIKKE+kUJS8AzFpKjmuWvuSR6Oq6bj7dLldppVLGDt2bLIWzzz1VFJgef/dd4e77747dKipCcsNHBi23XbbpOhUIQAThY5mkMeYhTeg+ph8kf8+hKykCh7kZwc8jltCCHc5Ztg+UR7lxhDCX6mTkZI3+3UDWGgzIwLBda6GR6G6zznHfKW9N4cQ/sI1nYMX4vM2EwBL/Vtiq3tMkXogyT+5Pq3LuQCVZ+9dy2ZqfQW8qAP32y+stOqqSahNdU1xjVd7SaUbfqbNVoqnhXp6tu+lV6pon0sa6FSLZOG1VpAF8ilpeQT6fxWQpbVVqUSyXRac4rPWB0ugo2O3pkI6bZS0wmnxQ5uvEDUWhTy22Xrr8NzzzycKT5C4YwjhJBTgMy409hbfsboVy9/0Anjsb0sBBGmhrkaAQwBSw9/P4nsGGONc4WdXcjwK270GUUAFnYV6SjdDMFCYStH8flzDTK6pO4l+MedG8DvL96xbYP/a75uc49WckxWv6m/LAJZb42F14PcnADBWDxRTR3Ku5mhCRP0ezjHfd+s7ZOjQpJjwiCOOSGqx2kNU9yUPxZ7l9kq4W984U8zl0LP1Dio/W43EDC/HHXdcQlw691yZI9UhmadTgTHSfuKmlL7cfOs9VUmREtdxpPBjqnJrR0iXM0q6lNk9EyZMCLvtvHOYNWdOAiCNgI3AwlZxEzblQaajGP8LQMxHYX9BWGyVAqGuLchjiBFmftKB1MvY2W/NFlDCT6KApYgDxxK1+lzCZMqzxAGfL8jffEjO5Efs3wPGBH6OdZ0GmggBnl3ghdOxlsMbm4sntq0Di5cJn93B51cinDgdGvXheQpVa1ij7ng7Xg5hXb9PPkxg9s7TT4ffP/10+MPvfx96dOuWgNA+++yTtPBpq27a7T3aII2ebfkgT8829mTaeIIlpUnp7NmzF2s7pDTJQKcVY6T9iIB44qZ+mndUyXCaLEL1qKr0uOpSRkn7YxW6NllVZ5x66leU4EVY+vlE1n8duQx9r4ZQ1/85j2Z9lL6FuiZGNS017ONUFHY+WY4Q07MA14/Ji4wHLB7jxVgaRtxeJO+P5+dvop5rtXQn0HYQOZ67Qwh/dsSB8XxHx96MwlSfNn8LEJtLgese/H4ooDAb1pux0d7guHVc+2RXpBpXZr3KNc6HXPEE53QaoDWfOicRIQKht4TVN2tWmPT440nDyJ+feGLo2atX2GDDDcNtt90WKimLe7SBQmt6f82z841LbTyB754tQFpScjpz5sxpcWPftpIMdFo498YXYaaNCGgtCKSF0xTqylf535rjlTtKOp9XpZdTa6EwnxVK1jul1hvg2CNKjMsLuiyEcIP73Xok0tO6jHUndDUcy/9PKNFm9qWQ2t+cchfAxDkQhbD64n0ILAKMuPmAkYX97mSz8KByRsUCpvcDsj3Y/wrQly28dz2b/NRBJPvVo60bRaZplR9dAYwtAUWF+Dry/xMJVT4L0HVhfbcjz3QB4LovxxTorIGnpOsNHPc+wp+78lltTYCWwpZPz5gRRo3SmVZWqq3LdNp4AgMhkV78+VaiKWdbinV2qCbJQKeM2ps4zKXPKMyVFnaoBOjoOGKnKRwgtlchxk1Lj2cjsWXJlTpK2oOOAEY9wARWt918c5gmuiqAI6/kYGpSTIlLZY1ECS5HeO1ZwkdGJa4jyX4ZXkZaJYSU5R/pMhCw8E8gN2Me0I1sXVDuI/j9ZI77WwDMS0e8m41J4v+c/Q2CLDASkoJAQD2Rt8eDMRr2/wE6a1EvY6V4wx3jzvdUexjKcwAw/4Hi3zbPy3kldUcrcP3LsWbmnUzEG3qMzbzGruRujCi7NSD7J4B7KdZcZIdLAMw1Adnn8bIMeOVxr7322hVTtNU8OdSPJ5D3b/RsMToFRmoJ1db07NaIzjEDnSqvvSk2RlqejRLp+cJcJq0Nr1kjzVJb5pQLOjZKWuSHUkdixzkdtaX5/uGHhwVNTeHF555LHqZ6rGl5KdYKcTDbEVjeZvWPBBSCY5r9UB18Aaj7qLDviLLcklzHAooqpWhrYJd9h38rFb1linIfh7VuIbg6fm/J/lAgf3MgAFTnOhAY0+wpFHcPzkthsN0BwHzw3R9lLg+qCeBag30+xbUbYA3FM1yXnNhE8k0KIZqpUwNzbSDeyQK6NNzDWnRin+NcD7q7MQBeg6DwWz5nuSl/LkZZ7wbwyjjp3NAQVl5ttaTdzg9+8INW1X0sKfkRT89WSE46QHkh64cW07MtJ9RWBeGl5nSy8FqViR54gU2xcJpNjxQjrVCYq7Weh46jcJrqY0o5TkuIBH6UdEvqiHRtZ5xxRkJ57oqSszDamlj7+XhI3VCaU1znZkuin+3o0Eeh+K3uZhxhMSXDa9y+xAzbqIBy340Qnaz+juQtXmKfYznvvuxjL87/eUCjkbyHAMJkBbZ9XP+zu1DwdrfvR2FvQngv5jcJDH+AAj8WUKtx+aAXXO5mJN6ceYEDAeZ8Kf25MOQeh0jxHffdtyJAMbLGM5AVto5yUws5lycIB+p8A7VGTy5YEMa88EK44IUXkhYrt99++yIlW26H6MWd02kNUMZTZo2eLWacWuVIZygS4j2hDu00UM1mGgkkq0m+saBTzhhpPUQKQcltVjitlMKyloCOdaDWQ1ksnNbS47V2lLRepl123jm88+67ycMzGwWoRHzAcj46T+4m8DmB0qPud1vjucSKtAesNG3NhJNkoQeU6FxyJ1uk1N2YXEZNzXLUxwxM6RYwDuDQVg+Y1AOCYp3lk3o8H3lk3fEWGl0o8Ta2ThRmDoM88Ae+e27K/htYs/UBpicJ8dUCju8CJFqrlQjZ7cFafQQJ4UM8JYG7SQ3gp+0AznMk1zgHr8vYfSZSjb34m5fd2N/D3IeODA+0aZg2z8dASAq5UNK92nI6LR1XLdF16rpt5pH0i/VDE0nn+eef/8raKKzdlt2zs/DaEtbKRp/TSyQaZbnjl8sNr4liLQ+npR2oi4FOJUZJ//3vfw8/+fGPk+vqgCUsVdJIYntZLOa03M2W5EnOwcsxFdSBMNK0Atb7TDwa7dfa2WzpvBVjr3XFSt+OkNUvAZZhMM66FOgWMB2v433Cg3NR9l0pztwuyt1IzkMhrwaQmHe3GR2ppzlPbTxdA6ygdCXCiNaANE3uhATQC8BdLZpOOgFQvRyvby73QmBVrOH+GPZpxbMLAB+/Ro/h6dWRZ7L82fZ8pztrlWtoSKUgy0DR86bOHMb+SmvOWc05nXxSKntNBqSiFRaxWLBgwaL6IFsba1xqIFRJAK7G8No3rji01NobPRwKQcn7UMdmaydeqoh2+cgjjyQx70IvlA/baS5NSztQFzqejZJWDY6upSWdZn/zm9+EP5133qIeX6aYB2BVx5UAPnczxk3BlNShsLZFcVpxYhcs8W3Ii3Qhx3ASTKtA2Eu1Pl4+jKr657ik99KAjwAv36s8g3DeFMJKR7tmoFZ3Y7NresEue4Oc0s6cX6GofTMeyHjAoBPAMd817RyKB7EB53k2Ibu1AbS0py/ncjD/IhzZHBWUbsl6ru0sTDH3ruFaduO7khoMhy3Z1/0cd3f29288q2bOf66BaE1N2HW33ZJanl122eUrStM357RN76APN6mmK8kTtdOIjErIY489loS/Wxu6mhutjadnG0C3FJC1L+1DfeLShkkuLvnGgE45tTeyRKx9vyjALZlgKAvm4YcfTlrK57Nc/JhnAU5r+kHlO15rR0mrUE5tUsTS6RqF07ZDmRYqGZTlfSlza4LrFCCigUHfx4DFhKjbs40x0Hd6onylPAvJKCjTHSl8tAmdDYTfNiXPYoOcn6UJqD7za6z4tGuwqZ+jKCI1lt1yKfuMAe0HeCiH0SvN+ry96ApeX0aZd+B6F+ChycMrlAFoBlTHARYHOALAKw6EAoA+EwNgIN5LPd7SqhzHmHR+5IPAa3k8n58RzvshVOrh5HqeZw2TtkYrrBBGbL110tUg7shh7C+z9q1DtIwteQOV6IvWHqLGmcqHVtKLyDl6tnXPlvju2eXQsxVKV5ssNdRti3EqLZVvBOiU2srGF0iqxYtuWGusDE3tk8KOE4c6jthpCqdVasyzPLOHHnoo6RpsMeJyGXCxCHh32n77MGPmzEQhafUGYeX74sm9Cf3E8imK/CWXzDZPIl9ctxkFfCpgZGyrQXgVsszzRahtRs1KANRygKO12xmHdyLpDJBNBfzOdfU6+eRhkvQdCcm9zT7NU7O6mxEo5nfwzJoI78njyCezCV+p75sPkto+h+Phebt6JoAmT+9Qikj9HZ4F1dnyVv9/xur/ZxkOYL33AlDOxcPaj3WZQIjSGq92ceG4n7qC0nkAuHmHekYkHevqwlL9+ycFpmmKT+/Jo48+mrxrUpIykuKx1e2VeC9V9P7KwGtr7yyXyyXr4btn2yA3ywkVOr5aY0mPyZuqJiD/2oOOrChRGRVaKqTcrd+YlLc8gmIFkqUc94EHHgjbbLPNV7yLSoS6ioGcwMUKSls6SvqEE04Il116aeIhLDQrlm0OSnc0CkvSGUt/OApMTKlfOYZarkB/MC/THFDlULTWLcD6m/WEgr0rJIIF5GNehWkm7yvfK/YJAHQh4aHgvKp1ADadZwzPF9O0cyVCX74U+GNHzR7vvDO77u/TcqZQAnUswNQBT21glA+yfXanBmgDQmQLWS/PsItlhlvTE/H47FwNHDpwfnPxYr7tvj/PkS78d2r53NF5jvkvKPFag8suuyx8+9t+r18FnWHDhiXgktYXzbekWdwTQ+3dlqez1VZbtSgK0prj2pypeFy1bV7XqBxC9XPSbdVE1Kj/JoyRFtJLyasepVD7fjUczNdvrFwxcPNkAlktTz31VGJ1iJ1WSf6+PVQKXci7scLVUi0xPdAnn3xy8pBec801YeTIkYsUzoZYvk859thJgMqn0HMVenmINv1XOKXbEwXUAcba4y4vsju0YnsdnoOOK6u/ASW8dTTvZkJKu5omFNuBgE8hn7EDIw+kXL9NOM2U6XjowebFbYTHchHho2255hjQ+gGAu3IeP8XD6A+I/o2iz6VYS3mGfgrLNZzTADyNAY4wsUuUu5ngiASSzngx/VImmwbA/+dc759dK6KNAZcZUTPUudQzPUGRaOB6N3bfGQOINeFFpskoQqr1AKNGVaiIOFbSZvPa8xv3RVPY2MJNMqT0Plcq59FSMcJOeyvyWkfP9uOqtT5Gz1b4TWsjfab1qcZuCV9LTycOpymmKdSPp+XZNEwxx+L2/ZUQKW654LrxOoZaqiuhp9k3lX4QdM33339/YgWqUK+c6aGa/TN82LDw7nvvLQqDGVHgCHIRZlv+CRqwPJwYzj4CSD5Bqb6OwrHkdT+AYjRKznItSwNOL7qaHYXHCrUpnIf3cTffseN05ntbAxg+HPUMYNmM0lROyovRqI0V95ar6O9EaFBeXD5KyRys/rehcB/HNT7vlLrWRNIRcFlIyG9zGIDFMgR/QZmvgpc3Dg8v55iCmwNsb5A76w+YfbVRU3r48AzOeSDEgVjuhvVmeb1lOO813DNyLsy75QBCFfgG/t63X7+w2eabh0MPPTTssMMOCag88cQTYeutty76vBopwSx9mx/lLX3VxLS1ki3nnNtTFkLPVgH7IYcckrTsEYhrfpUiIPLMqoHJ9rUDHfNufO2NvByFtIYPH/4VKqHCaRKFudriZqhP1frrr5/cfL0gCnW1xYxyA0/Ru9V0VDmcUuWee+4J3znwwLBg4cJFo5pNKZ6RUkdyMSETKWcfgHyQhpU1eCgjUOIPoKT+FiXp56AwH2R/BhoNfG5n18I/TazdjBWj1rjCx3GEo2zUwGDO9X4AzvdbyydPQBeuJ6E/EQZdDTmlNUnEb89nfMPONIadyed4Fo9y7YF9doGavS3eTewDN9Fw9Ck+82v3mZlRbzcbTW2KfmkASkCUj8Nk3lhvV3P1PWp9luccLwbwlsaru9blempY00/w7lYnhzUFADqee/IgtUb6/IwvvkhCPxqnrDB0uWBhOQ8DIeWEFKIzAJKl3xbdAAR8mg/VknNuT/nXv/6VFHHvvvvuiS5SjldhTs23WpxS/02ovYm7IlvH5nI9gpaIGmlaIWZbvQA2SlrXYUVp5eZtmrDmjW7cC+aXApJ9Uh4YX4F0BiGi5aMhax1dOCeuWOrCpnb9gTxMrZv5cg+AYxTqYXQCmE0+6R0Uu0JZFrDZmc3CUeaxCED8rJ7b8ETyAY/qXv7D9fwRjySHsrQcy1P8+2xA6AvWr1g37Z7sbwxreTyel2+rcyHrvy7EidUhDHxMax6N6faqrrvr7dYICD8IyDQARLey+ULVvQDjUwh7rkRu6DpycZfCbOvI8eZwD3ZxIx0G43WNgy1nRsubkDSs18XahGL/wWdqeTetRqclylvfUe5Vmwg5flib1b3J8/GdEioROrcanWoGHIn0jqI3V12lCrGQEKSqgVBQ/3UcIx2DiBVq+hYz8m7aamiUFWLqnHSMwYMHt8kDGo+SVnKzFMdVNUHDttoqvPX224lCUaiqBoVuCmUseYZrXPLa/hbwTKSEtsQD2ADAiUkCBghfmgL/X/7MtjTfMwCQkm2ms8EElNmVKL+u7GchNGGF8tKkBkW4FMn/AMuqgeuyztGdULSmgLvipTyVUlBag7JekX1Zi5izYY9Zh4QT3IwfAVu/lPDUeSh7AZSNwdsbQDRq9ni8oYddzdEQgKWmgBd1CuG8k1nLQKHqp9E00avYbN/rU9Rq4dXVOafxAKR5ou/xTPTkc30hSrzGc3Ayz4t5XTIOArm2Bay5gOudXC4s07dvWG2ttZL3Q1tLCC/5ugEohG3hJnlCYqXKQFMOyLyglhZiLim94mZFHaarpVZniQ6vlTpGWqE0FXMJ+ZXIFOC0FeIL2NTqQtaWzkfdeFv7MpU6Slo0ToXzCvVSGzduXNh5++3DvMbGRTF4y1uc7FhQ3rIfhyJe4JTSkfTjkkWcS8mnyAvpRqhlb0IzewIah6D8NyOEVay87h6AyTwV88TWA3iU8I9VwNMk0JtT6MrTXVJeSvXLzMD/v7ZNAJNCRN0F5GxeIMR2LP8270peSXDdqLcDUO4hNKfrKRZotRHXPdnPe9E6j3A06nfIV81i3yo2zSc5rv2XrKfW0vPK/g7onAVx4mXCeeuzbpPcuhmlPdBRXPk//2ZNi8DOinwDXqlf/xEjRoT//ldj/NpGFMozUoIVYloNjEBICroU41BApkhJnCOuNrn88suTsNq991pWrTqk/us+90afU6JcIo+gEjUx+STu0aaCykoOcotHSYuk4C2ZYq1w/vCHP4SzzjgjUaa1KIe5WONSVN4Oii37BbCZbuVvV2Ot/4Uw1EQHUH8lRNXDWfK2CrthFde7dvr5QKcJJtx/OOY6hJmeQ1k9gifQQJJ8c7yLh7DiLX8jr8dLb8B1BxTwbXgdBsITyNdYI9B9UMImUwHdGeRxDuL8RrAFvB8reJ0ICNr+l4ZQoPPIZy8rGf/fqCPBpw4sfQucznirzZyrhTfzyUTAxFryxHVPOTybI/FmL3IzfnwI852o4/a/8SCN4Ri4xzuy3cAzZIPtTuE6fsG9FsW/LUWGpuZeabNCTAMgdVyXXohrYPKNpl/ctO0ltQXOEgs6pbay0WfkdVhlr+K+bQE4eoBFFlBbc9/XTA9mJUdWFxslnQ90VHukufcq0LOuAj3JQ3RAacaDzrw0ovwt/xKI5fshazux2ehmC41Zv7RfMbdlBkpyIMrpbvf/5iH14HOnOkrut6Dr1mNxH4pCtNyKH45mnls8nTNN/kG4qD/5m2UJT5kXZI1AOwLACgOOZN3SGnaaLEfIbjOAch7J97fJnzzKPpbhM/twDxYQDnuRcOZJLkTZN1L6bwD+j+FNTQNAbwdI1sAL28Ht40YUfzfYffr/+I1ooqZneUKbaZzOGrytlXgGxjswSZNzWMcBFKla/dKrGB0inbS2Nq6lc3JUmKr3xgoxbUSBr4EREBnde0kNr1WL1H9dW9nYcDLFcOURKN+RNKqscHWzBzYBgU/kV2p6qK5b/ZO0FRolbXNuvCiHte2IEWH6F18kN1vKrysvvVaijtkrf8Yq3YiZLKtHxZpSgsGFUY7M8/DY6OaVYDIJFAy45JUEPKp72bev8bkcJdcJ5dvMMfK1p+nipml+Br37M0JLL+MJXIGXsB5K1nqbNRN+mwBwqEO0vZ4bsFkjUAsPjcRDyXFeN5JHyTdwbTznXk8eR2G74MDS8h43sXXGw2hEIR9WQIkbIeIx6pN+yHW967whq785lzVowAMbgIHQyZL6br8Pcvwc9++3rhtCGiT8nc2e+s/wXLbnensQhnyGsOJw7kkvRx/XelQ2HlC+6F1VjkebkRLSamD0freU+NDeMqcKR1UvUaBTTjjNFLQfTpamkFsrfkyA4rtx4VtrB7mVO0paa+JTdH/729/Cccceu6j/VncUrMXRV0LJPOVCVffgfXRyIZ2maKrnA/x+7zyjlT/FsxGbKZDD+T6WufJGtiJL4Q3sxb5fQ2EpFGVX0cA5LcQjSKuReYrvNeN9bePGLJsXNBpgayCcOB2Pz/dDS5PegMp9AOGmnMd4lPoEl5/ZkGtZGzrx3/Bk/hiFvDxY/pT8z7/xUOwJlSK/BY9yF6jLdo5fEJp6NoVQYSHR/Vx/t3F0B8gBDvq8BYcMdBoBsU8AmCGOqXc5QGGEEpts+juemRX5nTyZQE5L3/Nv2wqEP+2+bg1QXs5xLXRcLaJ3V+UNVuIg3WP5INX96f8VPjcvSO9ltXk/s2fPDv37pw38WLxS/3UaI62iLSlosVQ22WSTxGqpJACkjTwQS0askLRzaq2nU+4oaTuetoMPPjjccccdi8Jp62G19ubFP4J8Tgcs0k2w/D8DgBQO+ciFTKSsmwn9POyGi3VEoQwDhN5HEc7lbwqRWXXUGij8L4OdXxWd448Bqp2xjl9GqY+lk7WkP5Xx20Mpvo4Q09Kcsw1Mq0NBrhWF4m4GLOyu3AzIbUf4q2OBhp3fBTzrIgabAdu9AKQRHmwkQbEcy2hCj/34/EKXDxqHN1jP3wdxvvMp1P1qO82vSj1ezd1O2Wv9fDYix7n+mzU6jmurcWG8t1zOzpqJnsXf1gNMzHtcFjB6DNA0z9pYb7a+H5Kru41ncAGsSvULU86l2kTvnpio2hQ9UQhOOWK9o2KQ6p3zjTlLJSW0Nehk4bVW1t4UAhxZH7r5skzE4IrzHZUCHQunycvZaKONCo48aCnotHSUtI6nArCtttwyfPDhh0m4xqz5I5yyqUERzEy7PhSftfnfCWXzH/b1U7bPqX95jJYnFmax/fcjbBeXqVrbfS8vEiKaDeV4b/ZhrVeOjZLoo7GqbV/LURVfiBDahcT3UwDUr1B8lpR/hhBjLzciuhN1NI0AdtzBoAOfHUq4cQpe0yz2MwMvz/IrO7IP7w+fCYCvhyI3M2l1hrXNx6OZCNiPdet3kiM77O1IGyYvcK+auI8qjo1t8RyA0ADpQlTvkGf424EOfM1g8fwt6zDRlWuqgYQw2E0tncA9sHY+xkT8mPq5NddYI3Tv2jWsNXhw0qU6rV/b4ha90wIhsUa12YROIyWoHkbvYqmNOdtKMiJBK2tv8sVR9Xd5HErki56shyDtc5UAHcV45XnIeihl6mZLjulBrdxR0iIKnHHqqaG5qSl54eeSnzk8sm6D64kV8nQVONP1PVuVUJXCUyY9Xb+xTwjZfERo6XWU01F4GjugzHq7oW8mf6OYsTu06rRwnU+ir4H1X0so603YbEexjyEo900cK85o04+Tq5El3gMvQeDShIdlHsvDAKlZ79vAnCskr+OpzSf0tRNen3kslhc6hxDXUJL17wMYP83zMnYEeN9DMW+I92jFr37qaUe8qi25dhEGOrN/WwsPOp84D2gD7qlNTU2Tl7lGrVeaKmt2rLce5OeMyOGnli50Yx3u4jwCRbHKSd08e3aYMH58mPTkk1UJOvHUUOkb6QRtAwcOXNSYUwAkz03dQkRKaOk475ZK5ulUuPZGojyHQECfi+nDlQQdH04T5bpUFly5nk5rRknfcsst4Te//nXy4q+JgqiDcfZfrPtNiPWvhJXqlf8peDMDsHjjkJB5FTFD6XHCT03OG1jgepiNYX8B76eJ49rETFn3gX3fCFCm1d0E8ip/RJFe5BpcziXkZMf7rfO2BuDhTIMAcVTKQ18HWK6NV/gb2GWDCDk9zGZTRLePpog+wDV2xbszgFqBbV+XX5kIeD/oCAnPEiLcO6WYtBEP7HYYfD/iOxuyHYNHNcmBkMJYAZDfy40jCO7evcl5G7COBRxrYMJZF4gB/G6UG+uwN+sTe8oLCM+u5Qpg06QD9+5p7osB3yC8s/csf1hbm+Q027OTcylSjL3mG3Mq9G6ds1s6zrulkoFOBckCEtXeyCOQZ6NWNsVuWtwKp1TRQ6/jyHIp1/Mo9ZiVGCWtUJxNi7RxAzdgVT6CorudTUqoBkX0KTF8hT+0grUoo32i4sUOTgnav8+jVUp/lK6FtxoipTgNhXg7SqUGj2VNlMswYv/WDNTqbrZEYffHQ7g7ZTR0AIQ2ZzsOL+sKFOVU96A/Q55hWB4asI1seMs17KwnbOZrbp4in9KbtXwXMNIa5CsDricHNQdw7wwAvoXCv5ZkvwHbDng4ZwLgPy/Qz60XYL8N4UCtd+B41lHBFHst5z+W+zCUUONrjjjwEpu1wOmJF9vLdW7wxkczHouNsXiZ0OyajnQQw8aZPGcDAauPXJ6sJ4D1/sKFoX/fvqHfMsuErYYNS5pYqt/Z4pZy63TiztkLyhzn3VLJwmsVqr3R321WzJAhQ0pmZ+jGlws6sk7keYiZUq7nIdGDqQeskPj5OhtssEGLG4KaRXOdqzavIay1BYplKor9RtflWYotYOHPwFNQ7co/HVtpV/egGOjsguW+Cb3XCtlTS/H9V1wMvyvfr0FhHk5OZ5wDyf9wPbWc68p4OMVeo1vwJFYACL5wnQIudVX+Q/FaNiZ0dSyg8AvCbibLovD3dK1qxrNOAu1A/c2Jrv1N2lNpjLZloTGrDsbkAwdsT0J2MEJCR9cc1HtYXmaST/oIYBaIeLXV7MKABg67k0Or55yM8GEgOzEaNT6DOqhebrrrAujen5M33CaibFt/uj7UV+2GQfACHuEwCkp7sHbGrPyc6xcJZPxHH4Wbb7op3HTTTeGAAw5Y1EtscUlr63QaGhoSvaUtHuetnnHxOO+WjCewPFNrx2l/LUGnnNobFW8pnCYAKWdWTLmeTksT+eWG11S8pfk6ive2dr6OrcUCp8zinE1/lM6TKG4p2O7kVIZEiWVjThlbya7+dhSf1e08SdhqMApFiqM2z7jqGnIHv3XJY4WM7K50BYC2I+/yLiB5Op95E0XZBy9qn2guTSO5kWfpDKCQoT0hFjqb7ZThWADOtwM6AZDNJ3Wso9hmzYwyWNHt799sPhS3IgA6pgBID2Czfme/Aaz3d/U23sMaylpsyLr8EG9xRwBVoONtcXsWZnEffgQxIO2pXpZ7+SbP00Gch3UfmMA61hIWbCZse7ib8votl7sxD+oBtsBzsh7Hb2I9TmFd/8Q+awDSL6I6scUt0iOVaBwqkV5RU1JtAwYMWDTOWwAkQ1Q943QsT0ootYWX0g9ZeK0VtTc2j0b5FNGUy7U0Ss3pyDMRC04AV244rRzQae0o6VjMjV7oPAHvY81DyTyN0p5O+MV3FZDUEPIY6Nrf/InQVh3Fjr/ic0cSThqNUnncVdlvAXhchFUr+TbfMWXYzymdNBkIg+tMGFO7ukLS+6AoWwPJTTjHGQDBd/Io1K5Y11ZQOhWLu4crpLRGnNvxOe+1PEWoq4b8kkJ6gX369jfjXfsb35tuRXJMa+R5+W4joW6Eh+7ch8aI7GB5oXr+1tF5WBZStOv/HG/C8jcdAMAueTynOfTEm4j3JiAMAJE1ZH3DAdDTeJe38yzEuZv1IIF8n33XR73hjPV2CSHh/nhXjXicMwAyhSKrIVzUlh0JampqEu9Em5ESrHO2dIZ0YKnjvLPwWgqQSMGX0spG4SctemvCT6WAjtXFKJwmz6O13QvSjunDg0OHDq1YM1BZSgGQ6BpZty/DGpLF2A1luxQ5hUKDEBa6QWkB5WHFpU+TFzmC/cx1nZFHoTysw3MNZAMBQRwJ199KoVp4CvUJKKInXCju33ymI57OALydNNUwC/B7HyA+xinvF52XJ+V/AWu0Mh7Ew65lzkoF2t9sQphuipvcOQFSx02c52rkO1T4uTRgdxsgc2z0ctYDjuu4UOTp7DOQ++qdkr/50NXp9MZreTbynDxNfFlCsx9xjWltfmo599X4zuF4rfnu41OAl77Xl+fQSzN5qOvpk6cQ3VV8VoAZXLdqKWApX1n9i4OG3N6912qhXmtTrteP8xY1W/nmuHO26R0V22aejhM/6yYf4BhFuRLzaAqBjgBQN1CubGvCacU8HVkeyhGVO0q6FFG820Cnn4vzX4tyCig2vcRdAJ5j8RSs75nNVwnkKk6GKh2IrSvUUYfHsnXEfuvM77bGi3oHBbIMFvGV5ImsH5gp2rSxB7FYTsdLL2d55wgzdQYcxhHq6sAxNkUpr8T1HOeozbLA42T/uoDkFyj1s9146BrW4H4AY5UUYHuWtevCdRvBYm+u9WUXjrsYsLGOD+sQriz0YjYTEh3vJnj6yL2Bzjsuj7YyINIX4DHPyXrMGU3cmoB2dsbGxnnA+11ncCwHwJ7A/d0MsL4L77ErObFxEeutkWeyibCw1tRkOGFAAaP1Sdb7JBKReqMpzORpyJVucVUqZbo9pb6Ecd5///vfFxmzZoxWkyzW8Fq+8JPPqZRDUS4GOlZkmtZmRoAQdzForfg8krHtFLet5OA4WTM77rhjmDDhS5v3MWf9/gxlthbAIiXXiKI9k3DYIyibK7Aue2Dtvomn0xHQEkh4SQuLzQS43uDncYRNGmFDWXeBC1AkS6HgJqF4Cq18IW9I59IBULmWUOKTeF0P4T3cxrks5KE/nxBWIVkI6WA+ITubIDoOMsa/UM5roWi34PrOAzwEDHFwtp7812C8xEcIZen6aglF7o+SXsN1wzYKyzwA8R28k16EtGpTQMdYjFtQ29M5j+d0BKG6/wOcRnCvbJ5PWmPSiXhEtYDpe3hHE7mfNj57PteyO/fXcjUBsLqR33XG8xTRopMzfC4DcGxfCi9JZwwbNux/LH5FKFo7K6cUqaaGnx07dkw6I2gzUsLkyZPDffcpAB0SI1qMP42r3mWXXZLUxDd6no4v/jQRciunIhDQ3JvW5FS8CMCUWNPIaBNZCPI8dAwNkaq0paQha7LIFBJUSEDH0MNRKZEXuOUWW4TGpqbkpVzg4vbW/saHj5rxDEaQ3DexvmcP8ZLbfJM6CAb7Yu16R31bkvY/sXPBA5pHpbwNEEuTzwHH8xxwGattI85Z+7fXeh0Um5RiPtkMj0Jst1imArC/d2yzOpSgNQLVcWtS5vEEiA/x5JQFAMR4QEhA6wHwUNatEHfoesZAdCPktzXHegwwehwvpg6vYQjHm8M9XJtw4GjucS1A+SD5j0Ao8A+EwtJE9/4mwHUrANCU/hzuq3llAgWJPWs9WLuenNczeHZPQgh4HzCZ60KfObZ9XM+13+GNvuLm7rzoRmHrupYmVGjSqb4+DFhxxXD00UeHY445JtEbAiA/K8d3iG4JAyyfPPnkk0m+pa2GQFZCpHcUTdEcMc3ZevDBBxOgPu003eHFK1UFOmJryOvQg6LhZJUEAVlDigcrj+LDaauvvnryALVFnyQBjRWC6biVdHU16/yk44+XW7ioY7QNOPPzSuKqhj0BECkHLx/jnXxIeGd9rN0nCJvUkCfZCqv+R2zHQx3+retYre8WEgtxzSPWP9gp72ccLXsFwOc6ztuKTNNkCz6vXFI+OZzj3Ois+Mkukb0c++lIKHBpQlLF5i1OIUk+04HnZ/y7O9e3a9S083e0ilmeZP4/ABKxwUwaAb/HONdn+f7urtL/BQDqR4DEXW5Q2kCo3MGNqR7hwqi+8PRgB1z55GOIJBayO9wB1FhGQowkZHgLRsjRbu6Ojfle4MJ4m9IqKB7x7QHvYVdEeht1S5diTHTu0mXRvCyTuC2NNs8A09aaUL2iCsqvWIirGmXy5Mlh3333TfrZLe4ecFUVXrPF8JMwC7Xub41YTsd3ba50OC3uBSd2mq5D3aErlXjUWqlW4a677koUxxduNk5vFE494bM4JBZQFladbvIwCifnujQHmFk/dT3KxvHSX88x/ksoTkn8ZrbjXWJ6rxQAuh1F1z2q3h9ErmEeysbGJNtIZWOq7YWCagkhwZ6oIWzH4mFYbdDDbmBcDeG/F1Hw+Sq0JpC/kSzD+k8GWB9hGw94C0j7oXQ/AYw8EMVPfD0e2Eas68msv58RZBbjpwCO9t0Fr259NyXVwoJXYHB0xyuay+e+UwRwmgH9V1gLAbUn7tran8J986y3QRGN+nnOaQxgNZZ19zOduvD8LaCrhhlSffHIPcxYGL5QWxoZnAIhGYLKfcjzMRBSpKMcCvTizOmUKtXKXKuKOh3FIBUmkju82WabtVkxk5S+8h9PPPFE8rCV0rW5JeIBVC0w1BOuUoCjF2b4VluFD6ZMSV54G8I2mxtpSqsRWrMeuVXwTKyDcl1Epf4Dimg5/p2PkbU324t4KQvdqAIphB4oDlPeo8kVdcSa3wqr+1GX70hjznXC+t0UD+BEgGEGDUXlgdQSFtuLupRlXFixkFiy3ks31sfm9fwN4N2Qaz2bMGBabdC/WbtueB8vADrWcWENEu3zXI5kJIWgQ6PmmvFcmzRJuz67nltc659zXRujeErq29yXGx2j7SnCZN0J2e1CEt+UwzxIJO8BgI14G14WAkQT6R5hVPJYOgByCvd9mXX4UmJDKGDcXMo5dsL42YbjL8P5T50zJ2G1du3UKaw9ZEiS3/z5z3/+FVDwDDA/pkCbWltJLygfZF5QsY4A1ZTTKQY61eblLHbQEW1YgKM8hzyctqIhyt2W56HaGzUF1aTAtrgZNkpa3pRAzQgRlZALLrggnHrKKXriFw1js9XaFsXxCUAz2rWUeZik/Z9RnF84GuophK5yBRpterkPJWzK7QRCJ9eiEM2D+DGhpjGOqPAPvlfLOT6LYsv36t7vxhn0I3w3zXlcT5KwPh3Pag7WsdYlX+mchR4LiWUQf0dx59OOkOBrg4wBaOGxQsGaTlzrcD4rokBa8/6aMkHH6mWM3TcIgMyXabDWR3cAlOdjZLztaosms771eBVD8ERm85ytidfmz/UtPLtmzsNGLuzN52P5EBCbCzC/AoXdZu7szXN5G+u7M89QF4yX8c7T6QxhZsK8eWHUxIlh4sSJScX/8Qo9lzCmQGIdAeQJ+Y4AxoxTWNzriyVhXPXszNNJF91I5W4qmVzPN2NHVb6iKMvdbguxUdIiDdgoad34SoxTOO6448JVV1yxiOFkJIF+eCeroExPQJn3o0JcWxNW6Wis4c+w4NdAUTbx73vZurC/HZx3ZPU6lvjdBGXfAyXxNMrKS3c3wjpH+O4+EvI2xroDie7NUMQDsGL/iiUeyD+pgt/83+Hs730HQJPx3l7FC1kNz0MWu4IuNQU8nVgMBC1PZrVBJxKqstog1SD15jgtsXnTRgwUAx1/7o0QAKbjfbyB8j+A3M0wiAmruP0+yloOIlfVJwp/HcA62rjuka79zp4urOfB7xlAaQW6IjzPvbVR5Nb5eivHcjuec9oLL/YVPM2n8Za1BZ7LrV1n8s6w8B7AU7YGtNvBJDQpV9lKL2izMQXSFTasTVELgZQBkH4uKZ5Otyqs0VnsoKPeQ2k05kpJTExQLLfSUmiUtKwh/V1bSzwrNRndeuutk9yQMZy646kMI6lrj1UNVnq8mnWEcm5AUa9E7uQpp1DuAYzSvCNLOFu/rng2jz1EhaC1xtX/XOOGlJkXdDNbZxSJhVq+E3Uw8PuzDs770an6ARRnM0rsFYo7OwOS+6JQS2XNpH3OQGZ3jieALlf1pO13Kuf9KIy5vQC62HsyZT+T9ZrvGoHmIo/lP3iXXQDiuRgbI1Dc+TyzBqjkn7jkfYcoj2S050fY51C80m4YFUcTDp3sDAObt1Tjxi30ctNlf8qxv4snVItnZW9NE8/ZP13h6Ceswc48o0MwsFpj4fuOAKrXk9Fo+SCFyvUuSvRveUpt1SG6tZJ5Ou0sUvJipomhZkAgBV6pyaGljpI2a6gl7vi4cePC7rvsEmbPnZuEZ2Zxsz5H6anaPYaxDi7EYUebRR7iVV7Ok1A4u/DzdkAg9o6eR2k/EvVG+whlsp5LrltjykLiG4Z2AjSH0WNsCgWSNzrQtJb/d0aFpF7mYV2/Tk7ieNZgmlO+4wmNjXZK+7cFCAltLQY6du9eA/xrCRHeiEeaw9Lfnfu2iru3RuQ4Hy/H9hd7LM8R4jSvMQACP8aDEFilZVCvwHPoC0B8lRv2/8/jBc5Nz2KcHe0FaGzLtfzRdUbY1oUxm9y9/A6emzUU9c93E2B7JZ7T9jD9+vFONPLMSkrtTVaK6L21XE9ynvPmhTFjxiTvtGqGlB+KO0RXQx5ldgY66dIWN0fhNIW59HB4IGjpaIPWjJI20NFxywGdU089NZx/7rnJyzeXF3JVlGuApTQKr2U7FG4XZ70KROpc7cxcwEZKxq94g/u8LxysYXb9wyT9T6ZY1FhY9/PgDEKBLCghiW8PWnMeJXc9+/s9Xtf4lELSjQjXrYt38EOUk2dKBT67M1szit2s7aYSCAktkTlU6C/A2t+B+zI0ZTy0iXVythY/p7gRA2PciAFdfye+28j1XZgylTVE93aFKFm/EyBj9VhXpFC6T8PQGIRifyR6ZhZwnTV8dzWen0KUHPNEuwMc/lmz5+Hb7HsXQnAvRZ+Zzt+Xc2O0A+f8Y45hQwZbMyK+mBjLzcapKB9k9UEiD0mn+VDc4mrVMzsLr7WP+LyKGC2eBmmU6ZaGutIGuhVrmWNAU85LoIf3vHPPXZT0bSLpbIBzHuAympfsL+RAbFyAVwxSxM0Ag7yK+Cw96JjMAJzeiYaGrQhzKEf+wEDhSo5Rh+LeiRBJvwKeTnDneQChvu2pcO+EYhlM7cvnrsZjrAM8a1x5Cgo+n9SSN/ova3koHsQEFLsnJPR2ilxAXap8yv4XcE4fOmCrASQN2ExZjncTM63XWh2hwE3ciO6JDuzn8/1PYcWtitEhwIht++dIsOfwakbDGvshv0ujdFv/ufVg1sU09Fl4TQvJwz1Dru8SaPvr4plt4tiEP+ZcBhOis/vnn7fAPvfkWX87YmLeFK2tGIamymfC1hvFGshAu+SSS5J3br/99qtYN2iTuDmxdYhWNEXHFFlJ77Bv1eNJCR3aqVVP5um0sQgIlPATU2yttdZKWs3EQOABoKUxWD9KeqONNlpEwcwnNmK7HNDRQ5tDwSus8SIKcQWq/LvwUy9osysOvJ9wVMBq7svfewJO8lp64LnsjjXeMQKCceRrFhL33zHtmlB2q2LJf5/z3Bhv6CIUUU9yAweyH3vQzNd8z3UQPrZAm/2ebkDZ6VyrQKMDyuxMck/rAnhSeL4E90WUb2NUgzQ8zxgHI0QcCJBvzL+3yeMFvYUVb4y+PxIKtEmeY9jnUyTxDeg/4TsnAkiFRnR/hFLdgfV+yvVMe5Y17wWo7Em48hzWQffannb7mUbpngiAfxJ1X7D8zUcAaz2e1wbOi7QaIGurZASRGQDV5nh81rXB1O5LrgN5I/vv6liGc8lFzsUg2dFNpB2PIfYA19WRddf9fH7y5HDkkUeGHx55ZOi51FIJk01knEqIvctphqaASJEPbfHEUN+csw/hurZs1SPQETGiGmWJD68pjKa8isJqhep8DGjKDXWZKCek2TfljpIuJ6wnuqYlKndEyWyIhbt8Sj1DLcnTuVib9VSJT3Et5q9AARhBYAxbg7OOp/AZm0a/DArDaMhp8jxsuUYHUMYqM6/ExhB0cMf6AgW5A+DWDYX2QTTUzMsslON7kfc11837GYPSq2U/6wBYN3G8P0KBDnnGOGxHGPEVrPOFXMMoAL2B/W4HmSIQBryX/axHiMdKjY0ifaJj2j2M0jQvoIb8zScpTDO713/gHI7Eg7TOEAKTJjfuYKwbd2CAtTv3z7yJfDa25dj6u24GJjnWQjTrPuSRrENDrQOvQ9zY8Ac45xwek40xsLeg3nUnWJ11e9uBv7z0gKfYhJG1dcpEWj+m+wmejxruyfM8l4p+XHzxxRUFHemPUnRXWnPOz+iSoE4lAiUREQyEKllXk4XX2kjU4kGAo5sah9MKgU450tpR0jpuMU/HjzvQDJ8awgn2yMT/9nIR8f2lqKGxHlu74kE0ugTzEVi14yEQSJEEwnCC6maUwFS8lUtR2BtARrBanuvJCfTBol4thVW2P0rzGdhxo/j7cJR3Mz/rUby3YOWu5sJ0DVHLnF9FA9Y6u8moxwNc4zhvU1y668thFcsSTvNNX4cFZg0+FQoKtIaZhyK1cNyVbJ5+vRvgku/pWx6l+hJ5uD8C6BNSmGbrAMhrATiv4SH57svBXdvabN/FCJASDnzeDAZ7+oqZWnpW4idb59nEPdUzUWiwSGe86Ufd2vguA3Yej7LmW0Lq6ATgbUovPwsrTozo17H3bWO6B/F8BXf+f8bAScYpVLBdTWvo0mq9s+yyyyabteqx+iB5QtIVlWrVI3JTNU4NXWJBx1f95wunxaK/l0smqMQo6WLTQ/VwqOmozs/GHdgYYPMOFriOAwucgvguinBTQk/+EfPfDdHvPyGU0YWwxWco63Eo2sNc2O4hXuiRfLcez2Ndkv6Fmgh15BgTUXgNhOW071pCV+fh6TyCN/YISv58gHYm+7jEtczJJ10pKlzANWzovCAp8ODqgrYHXMag1FcAQOMx0534/GaA33jX9qYD1v1IQG57PAav4nKc02UkvX2355XIac3HA7L+c1YUWwNgflak6HUeYbd38VI/il7sXIkveww6I+m3FvAivk0X6m2cF+XlIUKYnfBuJkTH9COz94EmnQaEfSEU7IJBJYMkuEa0Xmw0ewfyQVMxWBo5V/1/a5R3W7XAqXGtelSsnm9YmwFQua16VGuU5XRSpCWupK/6L7dtTileRzxKWmE0gUFLaZiF5vio+EyemiwfUbvtYfb90QyAvIIJMLmmY+XppYtXoXMe0DmBXlaro9ws4b8PIYyFLmxn3QU+d0WRX07t+TJ88V3H/jLqrpc7AY8aFMIfUe6zoGbbnViGvMmBKItnONZf+cwsPJmYreflJZRYnLtZn1CM0ajHEYK6I+rI/eMUwAkpSvUsPn8OYSUb+pbGtNvGAfYhhMjS1FVH12OtJyFRay00E6v9L1j265G3EaAGlOr3+Nw2ALtAx79ZjW6NFJLK17e9yZEHbmPf+0Bltpqb8SnkgT0I812F97sHXqcP6S3AC7N5RG9h+Bh1P01O5rkzIL2CkO12fO9hvPvurMl4AHo4/1aO0cLWlZK2KgytjYa1KX9soxviVj36jP5d6DyqdVT1EufpmJJWUZZV/bfFyOpKjpJO83Q88UFFq3HCr7amJiyg+XeOXMXHvLDn0HZmFgrmLRR4D0Iye2BRd46YaTMJo73OC2rFeF60/7RS3Z6EtXalKPEgrMiHXEFpR3INw9n/NYBOIIxymgOKbo4pFUu9i9vf6zpRP5LC1hvKNb2DRdwzT+4mplF/BmBa+GUOoGbV88NRtt6Lu5ww2KDII/JD3zzT7jFyGzZX5h1+L68039N0BoC4Anm2DahFMa/zYbcOHTEYrAO4dQwwlqN5ENPJSdVRe3MtStwo3RtEzMIcPeVmRgQP8zyaOcaEiDxgYcRdXMdzu5+e9fZd1sJGedtk1qFcw/qcx9GEVjfgWbuZnNdrGCUXcK798Lo6uW7hpxHCO5XzlQKvlLRXC5wOHTokg9hsGFu+Vj0Wjotb9WSeTgHRQhWbruDDaeqdpnBaS6QY6LTFKOkYdOShWR1Rmqem/NHCXC6xGqW4c1jLowjxrIz1FyANHIIyMpLAOF68flFIYjOUq8XO0268zWMpeD2EfI5mm81xR6MwryEBbHd0P+L0LekKXcu1WLPRZjwLU7zWVNQ8FlnAxSacvOQalvZxY7b96Ou/QXk2IJ/OQLThFLPmq7wwpl0XvJucA1EjVjSg9LegS8KyeAHHoFCHANJ/c73q4p521hXbJnvuX8Ko6qVQzpPwUv/pRnyvg8L/3I1nOBPPN+2erM72bYDJijJ3cJ6N3dvpGB+e9SZpchNUxzkShC9wHsZ1W3Hqd1m3kwB3a6Xjj1mHl3YBhomOP2P69LD99tuHvffeOxx66KH/U8RdjiyuFjid87TqUV5bhfACKQGQDHN5SllOpxVi4TRZKyrCbI3LWAh02mqUtD+m3GUdwwpKY0/t1ltvDUd897vJTZmPQrRxxEcCMLXUWuyEsloR8DnckQQecv2rTiNvsgDFNB1qrCm/rQCGfrzExUAn/kxX18V4CPvuRu7maeLxD0SU5q4FvKqvrF0KW8+mbh6LgjyO6+2LNX2zK3jcHSVlKuK/hPs6cs3P4yl6Ty6HJW+exVjXguUtwGC/PA07A97EFeyzBx7q9dzDcVjgo/jdDazFQq7TlGyhXmzd3Xp3Ajw8OcJA5w3H5lsV72wpyCRzHO16LJ7DM6x3Def+KmuYLwU/j2fuAwyZqRE7zkDnDtZBgONnVta5yaWHY7w84DyYVdxa2Bvbke4HT/JezI2O2cg6XsCzvTPGg+7VSxMmJHNwTvn1rxNl/O5777UIPKphrEFNgVY9l156abj/fvm2IVx11VUJY07D26ppbHX9khBOU482EQZa69bmA522GiUtMfKCvDQVi+UrKP3JT34S/nbllYtm43TlparlhVXS3YsnFZh0whM6kb8diqIZi4W7CyGH8c5L+A+JbgFFE9a2NRZNk3xgcRIKfy2aMfZ1zC/zJE5zlOY5KORixyoUDO3uRjGMRvGZt2LHNHDtTpiqP+vQJY9Sr4FBtxohs3MJ6e3LPm8A3Lpi7Ru1vQEyx0OEx3bCA7QC0C6uLYwYW+8DQHcDDpundPpuyagD+528qsB+dV4+I9kFb2pLwoqjuWe9MQrGEob7F9e5Jgp8OxTGx4DXTH7XxNr7853m1lNhw2JDkt9jnY0V6Ck79gycj/e2EccS+Hix+UArQ+rIuTU4Di9V6/LFTJ15y6Qam33WuVY9N9xwQ/jwww+TsL0AR5NVp0yZEo466qiEOl4NUpXhNd1YJc/UVC8t59FSidlrOo6o0G0xStqLYrB6ANIKSn1TTwsHeMvxNymAk1xLCujcx8tVh2Vr81r2RdEuRPmMYDsdxtNDUK9nso/VAYbtUS4DCng6cwh9vUKO4GcuV+SZXzYMbjzWZyNAuBrH2paEuKfYltLTzXeFtqLV7zuv7xFCXS9g8SqMVI7pYvuXhb00lr1NHX2MBPt5zitbN/Ku8snyhKdWA3Ti5H5L5ussIFwVOJ9lufeF9vMIxIvVeGbsPN53oa9JKPg/8PcZPAd7cB0WXrPjPEYY1Nre/MR1L98WirmPIzzOc96RZ+6ePKy3D3lu1+He1ri1muTCcCNcHVdgv6dzXp15NloKHEvCWIO+ffsmek7jUGRIK/wmL6haZLGDTqGhbq0Np8WicJaBjo6jUJceIh2nLZJuirsqpKZ4q0J2MXVTXtywrbZK8jwDAYB6PB3zKE7mhV0Zi1ovbMcUT+e31HoMhNEzoMR8TRfCQdNQghs5L8FqUnqQ6FVhZnCezssAznw8nXyV9SbL8OJPRzHv56r2r2brjsW/f4l5H3v94895cP0Z+xRoeHVRyqgDE/vcAGjlB7MOT6G4ZaUvl2daaylS28L5OvaZzwllLnQD18bDVvR98oY7YL8RFtoIp/RNlmfbh32+wPNldUAHOG/EziMH+eNtwOPXAJTV20yAiXexY+L1gU3ZCxCzZ9Tu03yAvYZ6JKPNN7ljP+Y6G/i/2c8H8c7WA3R0HqIkt6Q1TTWE10rROxLpThn1fqpqNUhVgc7HH38cnnvuuYqF0/J5OpUO26WJQna6FuWGdJy0WoE//vGPYf6CL6HjPdfO/UGU7yPOqn6IWPVFvOxzHEngQF7qTiicfAPCYtAZw+ebIprxxiStp7jaEctH1FJYWouFa9bkpcTkd8Sriplxn5GX+pgY/hHsw/qMTXU5BgMie0BP4fNpr469/oXAqa16/ta7eTsC7paQ6nN5yA5NeJ1bE9rag9ClV3dNziu5lzU/D+Xqh7zZul4FC68bf5tD3kuFsYXUaAfOyQDHRnmHaO1vorDzEDpI1AD0li+ztjlGvR7N9ffEI+vI921tZ9HcdkZKjsuA7gFHjTbDrS5an48Jsa3vQnJ651WQqTo835qmGBW5GsNraflpScZeyyPWm0z5DjG3KhlOi0UPiwBHs2/a6jg+ZLfuuusm7JJ8tUEWzruU3MG7eBbfJ+TQxzG3bBjbw27U8GMookYUQyN5kwYs8mF4E31SPCPrZNAPz0ieVCzLuuNPxpsJAKK8EpM/uRHV5wGOSwEoOv5svttcgBXVH8W6B0B2KOGSPuQWLL+wDh7V/ij5fJ5OvhCcyUKU0XxAex/yEzFf0YdwWip+1EQsdt7mKYwlDyZZBq/hr4BaBzcy20YGNJIXWpqcx8Doui0/9R1A5lHCZHbcu7lvcX7Ky3kQApbnOM+kXF8Ob/kEzi9NfNucV92a6tkzk8zOa66bGVTv5vr4+9cIuaPGjRs30Gl0LM++AI730pVb9a1ptMlI9FNDrUv0kjg1tHPnzlV7nosddETtmzx5cnIzFYJqK3QWC84AoNJhO38MhezkTVnITtz6fKBj17opYa23eIE7pXgldeQLLscDWZv8xEQIAatgFY4FAB6E2XQt4bFZbljYKbCnAhZosUzWDSg+3/ZmKiG951EyNofnaTy0B1FodzmFegAWZyGZikfkG4H6wk4L05wGYPYow9MxJTcTJtsX/M72G9jntlyT0XtLkVzKdbyGklsD72NvFHv/lO+ZZ6NnwOjBP+Bcn3TeyhP8NMtf192b8F6x4tYprlg34EENB3Qed/mpPg7cruD4axKGs1CXyQxCjPaM3sq175uHvt4M+/JFnqPXIjAx72Qcx+nGc36rMx4+AbQCv+sBoJqKbWQtp7rzivefrzWNnxqqvLL+bgAkMFpSPJ2uFezj9rUDHbm4cmlVkd9WyGwjD9RdQMdqC8CxY6i2R7VEdi16QPMVpxmNcX7UtsbGSHtm12e8fHHTy12x7uYSrzaG1O9QYKOJxc8CENZwlmMvKMDX8O8N8SDkPQWO/xsU0lC8FCuY7E+e4HleclnHda6w8wTA4iwURmc3oKwPILsvysxkPIBYi+cnMI7bolh9hxVg2uTJ4exrd/ItXfN4OlNIVDfjsf0epWVNSp+BzXejm8YaHPOtFHkd8kIN32l2IxRO4/q3dh5sAKjnsYa/cD3mrPZnO87/Ldc770OelekAem8s+r1ck02TJ7iXHfj7rXij32FbyPPxKKHc+1wz0425X3GOzeqAOkIUeYOw6L9hRXbleduJ8290DWm3hHko0PFv/QuOQNLA93q6GhwVlt7P7w6jy7blIO0+/5vrsZk/Xsk1lUlFtq4AFopTXljvrX5fLBS3uGR2FY81qArQkYJuq6FL8ShpudIW76zkMfRAiiESj6uWFOr3ZuAn0DEW/fyohU0nrL7DXfgsnh/TQCLZSw0v9RO8qEMBlEl4H/VYrS84+vRIYuSdSTZPZb8HUQgaPywdirzIS+Et3EqB4FxXRGpKrTPg1YvrtHY5PkwUUuo7+lAEWAMB4hO+f6ajbG+Bx2ANPKeSm6ihvukc5+WthFflad6PuhzDEdyLVSFzfCel71zOeSU1gO+Z3Fvrvm0jFG7m/G3t5rL/c1woKOTpin0TCt9Gh7/mQNOKLG2I2zDW7GrW2Kr3Q3Q/O7j81IkA2YkYHBun5FJe4V72JZxq5ITjOTfL2xjYns365Hh+V3M5STuPB/FghuDhvQ24duS9eAOPdwCh4f4YLnGuyLPpZrv7NJ38T6mhUhmO6rdoPRelPxSC0/tcSihuccksuhFUw7lUJegUa4jZ2lHSAplNNtkkKchU25lKHksejB4+zcCxY5TT782DjimC+S6mPhfFdxQvynddsj9ECiOmT3+KZ/QBSvlIbvZwXmi94DWu2v0nhEqsrc1/OZdaPvtZ5AX5hyeePBpSPpMjxLQeVvF0jmWhQAODOXhm+xZo8GkeUR35JOv7ZsrHmnze6ZSWrUlwjTfTyuWM5t2T8+qN1zjN7fccPDGra/kOx37fhcf2hYxh1++7by/AQr8dpW7U4rl4I0MJfW0YneMs/v4UrEaBX8DDWxMQmoUxYecqLzYQ6trDKXB7bvJJb/I3sdpqZnsY4LB18LKcywU24lmexzOwputKbm+FkVM+jBqBfupAfBz3oJZrPBuAGxjlir7LM3QJz7CFIafy/wv5nUoUZPCWIwq1aVPzTRmXxUJx7TWwLS1lkXk67Sx+lLTyRHbzS+29Voqovkb5G91c5W/yzdcpBKrWpmK+iz+f4hKgG7kxxR3Jz1yHMticMNvyjkSQxkpLa4vfwD6t0t7EaKt78NLfQN3PI84L6uRGGZtCKrSitipxQWlvQHFPAG19znN6dKyV+L0+15U1+BseyrlRXY9XPoeiyEdC0/WfmYr3JQAfUKCx5yooN2NqbROFuMZwnhaGMgX3I7zDQmvyPqC7MaAW3GygJxxT0LyVwSjSaQCtNfyMpRuGxVYcw4B2PQe+ZukXC2an3Vd5lM2EJAV8hccYfgkaf3LJ/V4p+x+Ph3kUzLeaaIidjR1/HU/nH+z3NAeqXm4DYOyYU7jfVrskcFMLqi4NDWGtIUPCDjvsEE4++eSSQmWW0ykWilOxuTXoLIUVV0kRGFY6hTB69OiwzTZpJu+XolrDhx+WKfINA51io6QrBToq9lSPtlLm6+QLr+nhveiii5IXbB+njKyZ4895Way/1n0onIdRpLey6dGq4aVtwkv5PorlO3nqRsz+aizwABhYHINFaV6Q0bd9bfNvCL+tW+BYhVbdPrM7HsLnzuMaBbvvMj43nxCXjl/stXqd7zYQ5lragYXRh3sCeDsTCryeUNR2zO+Jie41sK1WJnc0yoXQOsOI+yv3bTiAuXIE0JeSM9oXD9PugXUJOCEKx13vxg70Ym36RYDrZR5ht/cxEN5qxagDk2Y8xw8Bg085Rhc3NttqyEz+i4fTHRLCnRHQLXTn+0vufz6xdj5/dTT9uZxH34iVeRNrM9AZcBba+8i105mwYEF4YNKkMGnSpER3nHKKTL6W1emkheLKYcVVe05Hxrs6G8Ry5513hmOOOSb86EcytcKSATqVWvhSRkm3FnR8Q9D111+/pOFQaeE13bytttgifDBlSpKb+MzNAlkRSqtZ4P2wFJtczP0XvDyjseom8nfRXrvycnUioSpvpS9J+f3xHAxQ/MyeWDpGoTPvBTXjAd2N4jeWWme8jL2w9Lu4Y5XiDdlneqKAdrdQCN6WmFcGJnuzVpaQj1sb3gIwLY1HZO1yViHcOIcw1DgU02jnrfTBkysWHPkX4DWAc1smmpx6PQzCrngqwwCppwkh6X7kEyvOtLCepDfn5ofercq52ogAP+pgO9ZFoOPVpFXu38R3Ds3jsdiogwV89nPnjXzqcigT3NhsIzPUkfDvBxhpvYMDnc8xpEz+xPO6OUzIASkA+APyOpuQJ/oQ4O7GczePfM5qgP2XM3i/PI8XyPVN5Xq255oMgNNC42lSKnutECvu9ddfTyIjbRWKawvQ0fnGHVukC0866aTw61//OnzrW1Y6vgSATiWk1FHSrQGdtGFrpUgcXrvvvvvCQfvvH5obGxOlIcCRbTSFBOsvIiDINxdnGax+hRl6Qi9+nVBP4OdnLnF/B1tXt0+9pPn67XpvyMsCEu6TebF/xe8s7j6WkN5ZgJ2NNi7U3DPfsYLrgrwO4aVtUbBGy74Cxd/TjTq4F0UTj5D20gUvcCu+czTXUYvC1nU1YAxslUIB/i0en4XHukZgsV80nG0ka2TX+xjn4Dszx/IbrnMQCnY1PKSPCL/Z0LtnSKz3Qpn7UQc218ZMuxc5tsC4CWVvHZk35N5uzzo08pl/cy2n4BEGvr8bm43NtmdA1xpI9O/lCj0NdD7CC+qIQbDAeXU3sZkHtT1ekhUWWxucieTetuCZ02ZGhYV+DTQbYNNNdYbFHlDm12ZNSg1HtaROp71DcXPaYZaOzn+vvfZKwmpnnilfP3wzQKfcUdItBR3rlBAPWytFfHhNceOLLrxwUd1MLQAzjRfs6BTPI20CqCDsR1iKQ1CsvakBWQ6ru9ENBjuJF/YRkroWed2cz29LSM4zxgy2Pdn7PRT0NGotFF6q4Ry3Z7Nk/lg3aqEG63gtlKF5QYvWyF1XIakBMH1HaGNRjXLdG+p4sGVxF/OjbdplA4q3gf2Mc8BmFOBuJMI/AAT2i8gC+Yazfe6s6nrW+1GA+1zAeWP2twr3+iis+qHcp7+7dVoGirS2Jjf07jbCoPvjEcWjDqzwdG0Ygt3dnJ9xzkDpAHDOct7w+XkG9fmx2WtGTTjXdGvT7HJCj3J+F7pnblO856kAinlRzwKMAcBb2YXKegF6Nlk08B7ZPbeQ5JHQ7DeCETfNzVLSGkvyGapt0Qanro1DcW2R0/Gi8/v2t7+d0Mf//e9/lx2tWmLDay0ZJV0u6BQbtlaKWHhtxIgRYfz48Qk4zOKFsKrqzngpclC7ufkmW0ZU6oD3she1Ob5eJwapuDKoH1a7gKCB731MaOkatu54BwekEADuc/kHX0MTiyXzB7q59TuhJMZEXtBWUMHXLaGjdEipE6lxzK1j3KA6KdLeKGolnXu4iZsKzZhcDqD0QXmNdvVO27D9lv1Z9+pHHQFjHNcrJZ/vybiKEFsf7u0nHNfqYgww/8vWmf0vICc0OFrbNIW/AVsn7o0BTnDrNY77vXXUZ20lRxefzzlNgCDhafj/xBvXvWwokkeyos+0+pgXAA6BWNob29+FVl8HfBdyP1eO9lXDeX/KM/BynvEKL/OsrQvIDIK9+DDEFInGHkiRFpO2KA7tWCQUp9CbwEc6rpRQnMJrpejDlorCaWPHjk3WrCUzexY76LREWjpKulDNTCzFhq2VKhZekzdWBzvL2pkMJBeiGPy3naX5hBvGZgpkBi/fJvzcghh3fAM75gnH/ZmtP4wsC3sdgzKy/moToPGaKXAxYHOsyxUZlThtQmfAmvwRcfyfo+xNCbzKccZAhJCVanfvSRR4ockfhbwh3aGlWOMJKD5T6jakzSac1qCAVib3oXuSz/xZkbzHoTC2roOaa+O7bwJQVif0J4+vDuX+KEp9B9Y1rS7m5yhOG3XwIL8f3IKu02kU58A9Ppj7nW8/HTEmPnDdGroAfo/CrjOw2NAV934GXftz1rJXStHny67ocxDXW0gtTsJDt6Fu/g33jTybWPM6juGNJXmjIQJvK2TuwfNnnqCmEZcibd0Gp6aEUJzvFadcVAyCAp228nSuv/76cN5554W77757USuhrz3oaFaEPJyWjJI2r0PWRCEPy4atiY8vwkC5Y7HTgE4PypozZiRsnh1RdueRe5hPOOMQNmvL/wAKLqAsegA4HVDau7qWJd9C6cWeTjPK8jFi4KKZxvDZz9GXF3Je93Gc60iI17sX937+3pnr2NExl4xu3JnEsme01TrP5HCU1KMoshw5p7vIF5gX5GfMlOIN1Trqsk24PIoiQWsRNJIwzuooSf8kFCsctM/+Ci/oQzfwzUYdnONGHVh4rJg/3xclvhrKNK3wtNiTHq/NPDdKupbn6VO8wTSmYSBvdgMhPOvpdzn/to4Fo1xxr2/ZtBuGlHGc6tzz8gbe2Cyu70G+a2SQvdxzOZJnyFrgCNTrousKnNNeeJkydIJjON7NPTZDycSmkn6Hn5thBJXqGbR3G5y6AqE46UHpFhtbrZy2dFZbTQ2VTvz+978fzj777LDTTvJ5w5IJOqWG1yoxStosFO0rDUgERprhU2jYWkuOqQdVXtk8qJwNLlyWNhenEx6JFbcd45LPT/NCDnaFlQYCXVyrFnsxNyKGvR7snUKR62b2/TBK6UzOcxwezxZQW6e7dim++3VHwlPLOa+qkExDydWQpF7JscluZusMSO3FWpQy4jrtM11d3kleyk7O4zFpyZ1ezo06WIg3MBpa9AA306jQNNCQAnppHkuxXhp+/9Ox5JvxpGZgqFjniY4AxAgo+z0cccEo0KI4m3qtdznCE9j/4xR1PognZ/kZW/86PNmphMF+xP4+x6s1lt/lboRGb9h2fUn2d3YtcAIe2J2uxc1yEeAuJLdl3Q4kHiIaCdt15LqNfl0K6Eg/LO7RBh2jUJy8Ghtbffrpp4dHHnkk0TfKbyv1UKkwm/avcd8iDhxyyCFJF/1Yz5Wqkxc76JQilRolXQh0lCOS66rC0nyU69aE1wx0kvNwoFMTjWQOWJqnACIXuVb1BxAqWOjGNv+EF8w32Qx4CcugbALJ5p3waqyw1NNSZ+ERvEeIS+E0W6G9AQezaHsDAntF3a8vRvF9gHe1Kspo1xSwGwk1vCuejnUf8F7QRMdMklcRuMaT+IwPP5UzIydf52hLULdUOhD+3IS6opY8pTHoNGNQNKKo1yA8tQvg2SfPqIN7eH7Oc10krGDWdyy4is1CX+tj/Vv+LJ+R0htQ6MY96ZFyHqNQ6sdGxbJxP7k3CYdeC+A0AAi+xss6FMgTnudIGfEx73NdPbbFGzPA+sz1ZNuP8zAPqZR8rQ2brJZ+azU1NUkYTdvAgQOTur8HH3wwHH/88eGee+4JV1xxRdhwww3DnnvuGX7zG5kULReF01QDqU2AF4sMdOW+lxjQSZse2hajpO27cV7HckSyItKGrbVGdExdm0DNkvJ+qqEHoEAh5m0oXzWj7FvCmOre5ADOQlEcwn4tN3McYGWhJavz6IZC2ggiwULCRrumXUee0FYdIaShKI01Aa3ReEHn4/Us5WqF7sKLWZlQVFo0vafzTN5yCeXlXR6lM+e/N5Z0pwKeTryGEv/ETSFU1sR6bEGeIq78b43fa8SRGSmTQk38uTeyTp+R81vH5dz+BPurJ/f+ID7fjOHRHw80VqVWqDnC1UAdxzPVI+oCXmiUuD/HkGfS51wS9gq/5pMaGHt6/myIdK8UQsAsvKpGrqFr9B6Y3T2H52Ifd6/q8bbuct6ghS/tmU5TpLFY6UO1jgzo1q1bQmMWhVlTQwU4AiGNWWmtHHbYYclWCakK0EmTthglLXCLGWwq1BSoyVJQSK3SVowmlErEOLFaBb1Q5vU087JZI8TXUNBKWKeVnqaF4x4iBFcDSUCstwDRwGjMvrB0ikuwWx4ioHTeSanyzjcELh+leV82G3VgBIk7XWjEuh17Sz1NRkNp7owSHey8IKNknwYrbmmneIudpwedlxyNdw+8gP+SY+pEnmV38gAtlcmAZzPeRC88om9TNBrP/FlI8enciIwxnEac70RNPh9wgNsNg6WY7T6FfTXy3bic0Ie1SgWdudwb8zjPpbZoG66he8oxfgI1ej0o8HV5iBA2FG53ngt7i58FPBt4N+a5aaT23QnsK57LY+dfSmTDQKdaPJ1CkSHldKQzFQqrNqlK0GnLUdKWY/Ggtt5665XMXilHDNAkuoYPsMQ+Jz7/N36OQgHN4IVQruMwV2m9G6GI2hTQOdflD85O6c6cNqZ6WZeHmE+yfgU+9x/IA91R8Hu6RHihAs+0Y/lRBydCF1ZY4wOu07ygpQnpfCtq7XIFlOYVuc7+KV5QM4pqHMr3HddYMvaC0kBHoPs8n9X69Yb6a3NsrBfaH/DK6h27yudrYvFe1ChYextiHDwFWIwkHNRAPmsnF0p9jPVLo6dbB3HfGfsYkvXWEPMI58nuitL3qvJ5uiIEwF/huFiVzid0K3DK5wfYM1HHc32XM6K24LkcRbjxCu7dugDHUDdae3P+31huJvp/kxVYow4u5DYeQF+P+zPNFamaMTWBz3fmfBR+NNEzaeQhhcAL1cSYsVqt3Zs96NjYlGqUqguvtfUoae1P7A6REvQQKZxW6RsUTw9V6E7X9bmrSZlNol5XvQxW9sfEoc92Pc4eQcH9gc81u/qJ/bEqlwN40kI2xTyUjiibYeRN3uXYo/AkxvCZZl5Qq2NJE2uwmE+W5hpmoyyeciG/29i6kQuaRcK3UEfowLmvBZj/m3M7AiU/NvKChpMLMgB6iuPsAEHCB1W7u1qdHAr9Gkd7PpjP26iDQ/IwziyRvieh03oMiYM4Z9/k8+KUti9+rECaNJKgf4M1WsgzY4y6x1G6IpH0A9wHkKPrjGfXOyIhNAMes9g2Zz3W55nT9dpbac/WDO6jzYNqhh14hivitXMy+no957+tm6tkYJJzuSe7z0aNtuueASDq2T0d8O4COO3HuTznBuC9xTNl86TG4SVJlHQXJdk6RVtNjM/9+mafS4KnU61SFaBjN1SFUEpUqeW4cjhtIQI3UQ0Fan7YWqVElEZ5aeoFZ16aHlSFCN99++2EHvoQL8bNeDDLoXA3w2rtj1I6yLWYsTHVzTSkvMWxmawlfF/2cYDzGNJyQIU8lIF4WYdxLkYzvpYQ2RCUkA2LWzHPfvKJJazro5DfVJcHeohzriPJfFWRAswbAd1+JM49i8oGvj3B5250yfFZXKe6MRRSIzV4PY9j8Z/peqw9QXX/eSjvzUjYWzdq6x5xUMoxurgmn8dDGrnFeUmXca+XAXylSL0//gXn/ymK9wtChQMhGXwXb2USSn6Uq97vyTPTJaJkN5Ivmw547+w6FoxlP8dzL7Zx4dG72UcPAPYWt86+iPdowHYsYbU+0SA/O48nHCAYiPk3tZH97IEXnfYWNzhPW39/263taNaqK/vZcbvtwsBBg5IibuVF5Pko4mLtaYwFVq35HF9fqPxxBjoljnmWwm5NIWYpw9Z0rBVWWCEBnEpbLGK+6Tr0kCqJZ1aSQEcFrDmooRZi6sc2PyXX41+czQhDfYHy2RAP5EnCDUc7j+F2tq54AM1lgo6XTs7an2g9qlC+j+EZDcRT2KbEvE99HkJCf0JFB6Js/8A6TUIJ3uyuaTcXLvo/12dNeQz/5NTSnmVtFOgMwF2dCkz+RWhpE46XVu72e8Jg60PW6I6Hs7VjX1nB670oYGN/bcb5FnvSzuF7NlvnSu69jZWwsKeFzDYnXLUAD2BQVNQbnMLegu1XeBw7krzvksLc+zdK+Bco9AA47cO9tV5yY+j2YNIUzeyxcRxp0sUV5Ma19TaXyJ6jzfHsX3fnORYjxQpC/00YtUeBtb0Lg2EKgPUKz1N/jIO9m5vD2DfeCFdru/rqsPvuuyc/5QGJkqx2W9Ih2lQrKBCqJOGoUiJSlKSte68t8aCjgUq6gWpn05pCzFKGrclyUQFVJQGnWH2PrCMDHQs/eKBJ+3fc7+xTekgd4lqv7MnLbtbcSbyMPjS3wM172RbQih/HUvI1phxuJIx3P8naZ1A+yk8FXuqfEsZKm4BZV0Ki356AY8lbfOi8oMcAQIFNQDltQxit2JPzLOdqYcDv4h2OBHjuJuS0CkAqZf4zwNaHx+K1W4XtO5zjGc4yH4citlxG3IrHJ9LXAsz+6xqSbk3o6F3WwMJTE9j/3i7XVQrd20Kwsb2eQ9l3ILyblq/q4Fru/BDWm8KDAVbhrlGvtWJ9k43AYGID1gxwLOw2yoH4aIDmYIywsQD0VYDOEEB+C/b9K8B4LXJG17GmC3iO3nQMz435vN4pdavXO6uIizZFYhQul+Eq0FH4XGF56wwgnVINXtAsQCfL6RQRJfIlbRErtQ7UQn6Fu2zcbKVE+7IecPnqe+Tp2EMwH9Ax76Ojo4r6otGAMjzWJZRlNcc3L/aM4tDc1nhVt1D/U8fLZd7JyiWGxXwD0H4ufLOQsNsJWMgru4mdVthpyfzOLrxWSOIZPMvB8vq2UxYPo2gCiuhJPJo9IjaYydXkZHrz9zvw0o4CWKa5hqFW8HohSnAFLP1iL4sA+S8AzAzO5VjHFHw8asWzFayzj7i367vWLfH5D3SteOZz/2ZGBbhpbXBi8X3LTD50no7uV/cSwOJo8mbW2Xr5FNp0KfN6TE3PdR5iDgBbKaUGR+CrihOrh88RNrMQ4DjWud6VI1jtkajnAWLGjhhG73HM+/Foe3A9ApL4HRbJQECk91yGrCIbeu9ffvnl5P8FPBaK0/u+OHI/c5gaWs0Mu6oAHXk3lQSCQsPWKjk9VDdYgKZ9CtDy9YCz8JofTW2gE3cnmMuLdCFbA/kC3w4m5KnxiaUBpfQBoPU8Xo918D0ThToL61EvW76pIvmGsT2FB9DMSzsMZWiFnWOw1H8HWOVK8KpMETXluSbLg/wN1pYxpMZwXR0AKsuD/Bllbz3QrEbKe1xLuTBSE57HgdyT9wnPmRe0I0qxY0oIZwB5kL/lacUzxlHI/8n+d3BhPd8VOp905MWNVVopHQ8ao/2/CtD2hWzxPDmojnnmFc0B+KZyr5u4z/64b2OM3IOyzzfl1EgDMzECjPVW7wDH7tNCnuOzo1qiGkKLgzC05hGSPY13o7f7fJO79oNc/7fphHNreG5kMKQVoPsWOCqBEONVmyId0gUKwwmE3nzzzUVNOm1rr9HVs2bNSkCnmskOVQE6lV6gQsPWymn6WUiMZVfKuAOBkj3EehGaeIlewL3/jLDZu7x4mzrPYwHWsoVn9nEt5uuLgE5winE1amdOw6p/gPCYwMGUj8IPfVDoR0ThsbRRB/8ATJZC6UohBxSUEQ2syafVk1jN8toUO+7PNfnKd3s9i4XhQuR1zQNQR+Ml2kiCHNe2mQP2QlLHtTdA7f05oGXhrT+5gteNyAm8hJcwwoFm/FR3BWB2IDf0SzxCn0cqdZR07NUscMp+1wKMOt+iZhL3f1VHhJjJ7y1HZfOKenDPnmadd+J+Gy3Znv4X8Bj78e99MbJWic7JjA+rqZnLeut7fj7lHJ7XZoyXzUtYlz85oy6tY8Of3TVMIUy3D8+oDX4bN04r8FXJ1wJH+kuKXpvyxfqcwnMCIVXpKxLiCQndu3dvM0+kLQa4fS1Bp5JSbNhaaz0dWTVvvPFGEtstddyBHjCxYQJWompJAi9hDi9mPC9KB16Ul1Hed6GsH0QJPOqsUFnOxR6vDilgsRS1Gf9wA632QWE/4QojLTxm47S9pfwjwiE2KC1fhb01+bQaoAbCGq+7rta/hqG1HXUb9lCWO+qgE7To4YDrO+S5no1yFJ4aXExyrJcveH3GeSuWL7PwWKnmkw0XSzueP8d84s99JmQLy29Nihh1m6Lst3Rr+jLGziZ4vPaWdMe7MZLEWzyb97lBaTYgzs6jhm0i2z7k9ea4Wqcx7px6EeK1lkm15Bn3AsSsu8DnPIs2dfR09rEmgLFDpMBmcJ0z+fv9KYy3AMDtQUjwfY7/E3JVp7BGYoC1tNmndIx5OGpK7Jt0Pvvss4kOieflVNLTWVyhvW8k6GjYmm6qgCCf99Ea0FHcVvvXjd10000T66UU0XmstNKXAYO3ULB64ZtIXO4A4PwEa/U+ajSUNF8JRfw9QOZxQGgkYYGZhG62Q+H0K2HUwRsohpnQTRU+CVjc33HhMavTkQI3GYXCupuH5zO6UKuwM19rwduxLnsT5jOPqBHL0uLw/2Czc36MBHCh17wQcKyIYhHjKk1KeQpyBebXnMD5nsb/lytpif/nOcYPCF8dlmd4moXSppJD60A4dqgDC6M530+oS+tqfT2mYfScVEAJ1JCj+wQvPMe5DUhZ/zfwGo7E66xJqXUyABuLp21inSBsllBwfdZ64mnVuKLPiQ5YlwI4hwNK8/FOrZjVrm0OBpWFPPVcBI5nHbhFTukBeKWxv1o61iBu0jlz5swEgNTiS+QjgY4fXd0aQkJ7TA39WoBOa1FZN/K1115LanyKeR+6oQKPckUPih+JXU6MVse75BKV430ZynjDhaT0/8GFFtQGJ0Qt4026YsHtRGz7h1ja1mk60EVge0JbQ1LCYneTOO8IEEhJxeLDY5+hRL4gma2OwCa74EVYGKsHIcC9HUPrbBTeOuR8ekcP37psR6HcbgbEAnH281AQOxLyW7aAp5MmaYBlCeWb2N/eeV6EUthghbp2l9JR2ntdtwEiIzjHuwCUTjwne2AUdOfzc/BIexFSGhSBxcqQL+agpMewT5PH8Sb2xBtKW6u73ZTRPlE1vyntHN7JL1H4+dbCzul9x3qrZ/1tHZudobIChA57Zmz8RiOhuwlckw3Aq8Eb7e+MrHqe3TvIXcZ5L2ubZIMFd4dSn8airUSH6ZqamsRY1SZDVB6VCAkCIQGQvCIjJGgTgJQ7NTQLr7WxlDtsrSWejs3wGTRoUFhllVXKeghEB997jz3C7DlzkiTlq1iuotXGflJHRxuVomlyydZYLIEaCGXUoaBeJL9wYaTgZ1CTYr1mv5+nS7OXFyAJNJG72QYL+W+85EcDbG+7Lgbj8FA6co7z8OTk0RWD6WcAgh4A1ALnBV1OfqEHiWmb8VhKnzUPHtZnrScdIE5EWdrY7u9FBa8t6Tr9HPfjv1j3+1CwG9NMbN8LYBbOJH93IOftW/GMca14+gBKzW4KZ1qfPpMuhEH1OZPd8ZTHs74NrMEwyBdLwfa7GmNoN5S8ly943nJ83wyfHQuA8S+5lkGsTafos80Awbpca9c8Sms9Nhu10Mi6GJvPgmPzAPO5rn7IP4dNeEfLkQtb1CQ0BXTaYpZOfX19MhLAxgIYIcHyQT5Up63YWO0sp9PGYsWYcklLHbZWDuj4djYtneGz6YYbhqZcLrGordfri+QxdsFrqU8JhXVy/84X8bXP9KNu4cdYtY+ivEc7pazQXTcHaH8lbNEfRaPw2NIpIbFeWLqW7LZwhhSqreJKeCFHcPwxeF82gG4UlvaGKDQbY+Dlr3g4K3M8O5cNUcQfOuX7GCHGehL8a5Cz6VwEdKzKfU0UWnfCWePyjO02K74ceRSw1jUuSyjpVAppl8aLOZykvM0H+hdK0oC9UCue8bDe7L5+QCHnNhHLzMt7hOvmk0uZyHO3J/drnMtRXcv5dEJRr+ieUQ/wn+A91HN/zPN4Gu+0L8/JvnhpzTANXyIUORjQ8ebbyxgwds9GY7DkU7OjWdeujohgYs/mq1HO6FYHOq9zDoH1a3AlCOpYsjgGuHXp0iXZll9++eR4RkhQcaoM2GJTQ7PwWhtJa4atWcPPYiLPSR6U3N/W9GcT4CznkqPfxs0fRejpfEBDit/OymjVxUDH+qb5fE0XLM1rUWRb8LI/TQhsJpbt6y43ZNNBu+O5NKLc1sG67l0COcEf38J713HsXig0GyDWKZo4+iss+hF4YmnE8+UcpXk8FrPNmBnHOW1Gbsu357Gn4k7COttxPAN4G8tgY7st5zAexXUbSnp7vKB8zZmsX9n7XNfJrjHlKw7YbmCzp2kBSvNPeWjxcXjqUpdYH8j9fdCxzHpyPXuj3J/BW63ldzmux+5hFxdK/Z3zWv/KNckwqo1IA+/g1fTAozaPuxFQGR+FvcxrXwiZYT28pOC8+Kf5jp6BAICdTQ7QAGw/lw+80xEl9uTZ9hEBeeQm9hnLGdVh+Am0YpAyDyktYtLWo6pjEaDYVFBFWBTVSZsaasWpAhuF1zLQKUHKCVe1dtiaHpo0ZkqaByV6o3JErXnQ6gCa/Yibb4LibISpM4okpuUxAtXRplj2x9LcjpfV2zUNKb3VPuYFm4LncTjfGcSLaK1LNmc7hSSxZ8hZb7S5KFKdr3+MTWEXWsVazm15ckI/JH/wGNc8ytUiBbwChfzSK53+v9xCj7JunN9C9v8ASv3xqD3PW4C41dpoy/e0WRuXHOtgnokNO1NYsTvK/EDqcUyu4/riY9S5VjzfI6Q1EaPAWIzzOOeN8ThNsXqZz/q8w+eehxRwjmuoaV0brMjVipBt7HNPR0fO9+Kb1zoSIKhNGfV8H0aA8i3eH6gHOIfgWU3nfP7MOa7qumibgVULyD8F8+wo1yHjxYhR+V+Aowe5r2XcmHTfm+0tQLGG/XtKfhPvyDvOc58WNRKVpDHK8k0cbi9paGhIxhVok+EtgBEAqXzjmmuuCddee21y3mrxpaL4UolO30jQKVUqMWytkKfjPajVV189mbHTWpJDbU1NmJ/LLYq5z3cLb1MmfwXrZySK71Fnec3A6rwYpbEDVumwFNAZB8g0wcQRo8dLxzweykC+dzjK8DeA3GRnQfcm1PWtAoWioUh7nZ7kErQ1uwLMgDI8FKt/deLr20cPqBVgLofCv4FrOYvtY5TNba49j7Va6QDwvFAkl3URZIa1sbR7Ebb8yLHBrMCzg/NYZrqQaSHpjTdhIxg64mXZ1FdrxbOqK0Kdxb2ZQRhoLUCnNqWh5jF8/gmufwwGj2/sGUrsFpA2MrsZQ0L98YqptLk8P3ZMn3eyN3A2gPNj9yzEJJMfOLC+FMDpAJD6tjv1gO9D7lo7pITdDHDWhaxwN6CzgO8mYJUSRmuP8FqpIr0kb0ybIj3yhDTk8qyzzgpjx45NDGYVrO+0007hxBNPzFu4vjhkiQEdm02jBRb3vaU3P19OR7/T/mU5VHpc9XxZSHlGU88k7PE6P49DkV6Mgr2ekM6NxKPvRinqJdEZNqEQJ1NlnQMYfH+vQgWesZh99zOU28suDDcSj6KjsyjlLeXzA2sKAFMtYSCrrTnNWeqjUUR/BIS3AKBeSSnA9BMu4/Y8k0gyzyIn5cN7gwC1Pfn/ZujDFkr7VaSsluH+7I1yMtKDlRDmaIEzGm/Jen/FchpeyCCuYQrneAI04UfdGpzvWvHUYNUPjLoxp0k3vOMPAckuKcq+ocy+aC+TU8qRI9qPc7FcUhzQeZlcT8CAGRXdMzOU5pcB1uNc2Ky7U16WG/uEcwyA9lzAKkSfC7wfG7qcTiMsy2l8ThGOxR1eK0fk1XzrW98Kd955Z0KoOvjgg8P999+fAFC1NSatCtAp5E1UethaGuhYOxu5zm0xrnoex6uNeqW9gHU3hxyAlErAOlsX0DFSgfXdCijGM7F2cySWb+LfXfj3rYQONgeEVnSKplDXaR86qwF41kKBTEcp/hcl8huAYVsUy4ioAr6URqJGe16a8/yWAwwDO11PHYp8vTwWeKyALcezOQBxC+Gvx11H7ovdHKJ5WN3FQnCBdZxO6Mes+DOiGUQNGAvDSab3wAt5hWvYnPPwx+mbMnX1DjyWLaIBfVYzU0iaUq7DujHczzOWj+tp9z/HeVhhaKBDwztc7+U03LRc0j4Ayck8SzbxNLjznYWCNzkXD3sLwCweGOcNAmNLpk0XtTzR2jyLt0f5KJFOAiFBq30yTXA3BuBQDB7fxaQaPZ18Ivaacjoyzo866qhkqzapCtApNvKgksPWYtCxglJ1kpV7WsmHSg9pjTwd/l97tn9f5RoMqoIntqvMGU5rc3MLlv8aFMS9gyc0mZBTzinsO9i6OkZYIU/HExjSrM29qFZfF6XSBAjZC76+CwG2JATnAWMzrOCLXOGjF7tTloNKk1oHDD0B9t1QQs+7OUVmQd8A4O2Mt5DmEVwF0PfFY5kQzSAax34fADCuRUkupB+c1q6Y2NTVzuwjjW5d7EmN194G9NW48zLDJC5CNdDxc22sgn8Eyj+HR2OzeiyXpHPv4th08uAC92ga4c86ckLNjnhgJItueLS78Kz9CLDemHN8Mxrv7QFxA3Kn5mVbg9kHnRfUL2WNviCUWQvopLHXKlGn016gU81SNaDjp4dK1DhP7DHRlCs5bM1AR8fS0Dhx4UttZ1OOiGkiwGxsakpceL2sObyXpQCcHA+9wmUhAp7OKcp/HlbwC7wgJ6IUl+flnYxi2xBr+ng3HO1BFELAY9oR7ySmGptyK+Sh2J1Yln2/BujcxTk8RT7EKM1rFqE0F+MS5mPv+bHThc417e+1LmfQG1rzSSi3h/Hg/gSwmLe4gguPWfNQUXJDtH7WRkbkgLdYozPwNtcts0GnrU1c0NjIuj9fIEfl+7NZfdIyKPtZrr9aWhHqXDxDAxytwXI8x763nHnCx+Ap3AgLblPnRZli/5xz6MY5rOpCXT8h1GhTPp9kO4t1GubYfUYaaOZe6J4Fnjffid2e4XsB3HV4dzqkfGYvrs96A0pHyOj1uZAlwdOZQ5fpapaqAR0TgYG6tGrTuGrx1Sspemh0jEmTJiU3qC2Gxolbr3CdePSiTI+HKlqLlXYK/96EF8eYY5ZA3sVRc83TSQZNYZH9DPCpKQJS8XC0V1GUn2BR/psXcHPnnZTCTPO90aytyC/YPsfqvQnlMQnWlh3H6NQ22dSmVYYygeMtwpJ1rqByWApA1ZZYQBrwbn7C+TydMkq7gfW18Fgx9eOr8KWIW9JnOO7FNs95s1Pw2nyPPK1Dp0jZT8AYWINQloVAVyP/lVaE6uubbK5NMeab1TeF6Fpt/Z/CyxCbLc3EWxblvxekCQs9d4no5Na65j4HEj1Sxnwkc3F4ZzbjOX3Bnf801qbWnc+iotJ585J8iM3MUWJeQFStOR2J9Frm6bSit9kmm2ySKO1Ki4DGROyOSrcct+4FNk6hT9++YYWpU5PQ0D95kY4mAbsZ3ohZgFbL8ken0CZhoW3PC7EBYBVbyJ1KCJ0ZoGxC2OpWYvs2CVTWvgUV7iOUkcZ5KdSQs6fLS/wcy/c7hJrsOKehiK3nXCl5Hy9mBQ/Eq3uMtatDke4FQ25giZ5U7DHVc+0bcQ3mLZ7lRky3ROLr+AKP4taIiZUPdGYQWm0GGAa7ERJjWdczCKMac7GZZ2hz/pZ2P30R6puwxew5sqmk8frkE7uXXjV/OVbs/9f9fHVSzf/Kp65reIeUc252hdaBMOg7nLvJXJe/Gs47pPcssE/rWedn+vjz32qrrZLcrs3MUdd6tahRZESAJCCqxkFps2bNqupR1VUFOuptJu9DKF1ub7NyAUGikFolj5Gve4G49fUo9BvwXFaIZuH0JKSxB4p8MonNf0bDxPrwN9X9dCdhuhdK0Bcb5pMO7sVan+1MXsB7KLCzscDX8v/LooyOdAWXcU1DsYfrt4QT7ThSsi+QG2nCwv4R4b6tUxqHek/nAWLzm+A9dKEN0Hso3icoGjyH/SjQMAfFl8/+K+axmLd4qVOgrZFm1uEj1uh4wG2A67RtnqAB5mcAX0euz0Kx27M1R0WoAnuTTnkMlVgmuQagRsX3cYbmMkDHPvO2m/xZS1+zfxLS3IA6NIXngvv8kexnT7xNf3/muU4RdYSZV3ATQAP36A6As7dbKzu3GTxztRz7TXd9eo4kAhRFRfzMnMcffzxR6KqLUa9HgZI8IG0qzlycNTwmWRucEkU3VJaEQmk2bK2SIkDQdD/RrgUIkydPLqkrQakiC0j5J+VxYsKDgM3cfg80nlTgxSZ7DuYFVehkaWLSJ6FgHsayf5SXx4a1JedSAuikheAG8MJ3pcanASX+OAB0rSuM/HaZI66b3HGMHTafc78QZXefmxw52IX7BjvQuYGQyLfcRNXAdwayWUjmSVravMnxh7COw1Dq65SZG8onZj3/mWR8vhEPObdmNwMih1J/87zrgXY1W3dnGATCfX0xQgyQvJgCXQvP8jDXtr+Bdb7YtTH6Ft6myUg8OSskvYPnxNZmISzAgMd0DM9pLOYh1bmaGVtXAcRRbpKqUfA7kSMb6soB9uV6m5yHPhvvxGQv1zXbQr2fk1+cy/979WvP4Qsc8yCuqZa/jXJGV5y7MZ2kTtGiJyvUZo06BUDyfvzk0MUxSC3HMLksvFaC6OZsvHHaI1xZBpzCaQKESk4PtfyNHrgNNtjgf6wdWUNzU4Ampk/HYqypXoSPBqEE/DjqeSirUVjONVjNt7rcSf+UfcbAdB4MuoGE9oyyug6hlk9cUeRYyAE1hIcehJHVqYhnFUtHwh41VKL/AU/oDpTwiyTy+zi20TTqWfx8nzTpgsJ7A8V6HE04Hyc8dTOfWQfl1txC0JlIor2Bc72Q890Mpb9JikJWX7O5eDZGJzZwOYY1sNzKOAwLSRPJ+WJk/i8As884ly8ArGfdcLu7IQ90IYfYj/vYN2XEgD2n97DPwS4Hmdb92u71q26kxMp8t8GRN47D43jMsd9Uk1YPbbpXRBr4HMCZ47wcAxxbnybu70Lyn3dGoTMVDwfW8BDOx+qR7sfokmf05eSrULBORz9FqzZqtZ8cqllb0gPmBanmrz0mh86bNy/Ra1l4rUSpJBCY6CGQBxK3s6nUsRRKUxM+FauqTXmaZSPQmeEWe14RT8ekLuo2kPb5TtBXRxDPX4XPmCcUCMEZU23lyBptxusYDXAoBJgWpV7atZV/0OU2OtOapZ5Es+VSLClbyjA2exUH4KUch0U72pERjJ1UQyuaCSgVKeFYctQPPYpXcyrnuT7KeIZjSI0FOOyuPY4iy+eteBmJVbw54cOPXGjrHpR6J5LXUsqBvEM9ob98EzD7u7X+PcyrgDK8E3p6N5T/nlER6gd4cfPJnUxx83kM2I5PKUJ9FoDaJ2Vq62yuZSHU9XWKdL82L8wAZx2Mi+tSALOXCys384zOiNbfukDf6voQ9nNdBUwaXYf2/fHorEtBwIgxAPdNRJswAqy9UMDzTvMiClGm40adGtoo/SMAUkhfQGAg1L179zbxghRak2SezmIQPSCarSO3V7U3GiHrb3KpTT9LCdfF47BjkcUz1z3gn2B9zsfNH41lnOYpWGuOkKebwVeO4wDiDhTFbdRRvIIVbrSMz4l770LYbhnCHsXSoldiqa8IC8pe/jEo2z8QmutPHsjOvVAYLm00dVdXT5MjdHUBYDLahf064p1tCwh14DrexBNUv7dYRfQChHfkvCzHUEd+6yyU8/au5Yw9OUZKuBmr2SZk1uGJDqLb92yUsp3n/7lrHFxg2F1wnzuRffTjWH9m/xaaMq/TRhKsC9jVurCTOhKkqTZfhDoLYNA+vC1uXt9tPJsXu5xeWvdrG2lhc3KCq6uxdSvUBcFCXPH9asZLqoWhZtNF/XW97xrqHsTnrPtAnWsm2gmjzzMcm/icFR5rTdMAwco5SqFM6zN+cqg8EGvU+d577yX79+MKKlWMLtDRvis5ibQt5GsHOmrmKcuiUDub1ng6yt8k9TeNjYvCdcW8oalYcZ8TIhrKg/46YZiOeCum6PqlgE7cTTpN7DMDYMgdTTjiMZSrLNNANf0QPq8Xcarre7YWlufWUTX3L/h+7BGtxPZtLGAbrHU7lmcdYaODub6Yj1isj5vlawIhkR+4KZAPkROwWTum3A50LVgKyX/IVekVnQtgd0NxPu1GLOzgQFRrl4vm3sTS1Xmgt7siSNv391P6qzXkaey5HEZEHetgnSmsCHU0a3CnC031LqMOyMAlTdkHvBedf74+IDVcR39CWyby8HzA3Odm8snC6Dzec155n6hlUU3U3LMZsOkRPU9TCPX1B1QecGs9z/VxW899r0OeWTrJOrWgTke1PqoD1Nbc3JyQphSGe//995NctjwTeUD5xhWUKkaXruZR1VUFOpVYKC268iuKnxZqZ9NS0JHLrP3r4Rg8eHBJnH0Vtn40ZcoiavCy0HzvJuZ/GPUy49wI38Eoo5x76WyoV7GbGVOmBQ61WIddCNn0w6K7FGV6pisgHY2F3QHw2hLL+iNorFL6+V6J7oDrB475NBxr/wSuYSWU7N7Qm0sJwfnqc7umHdh+T+HjHTShDBAO7nQ1T2mdBc5kvQfi2dxB+PFGPNGHUKLj+Z0Ayp7QFflssSf2r4SV+qHcdqFG6xH2/xD91f6M97ERBsIXzst6P8+LGheh7spnvYlVii/vuz2bvOu80y8A9Zhl5uVjnuM5hHjfiBL4uTJAx67zjWiktQ/9GWnAiAp6HuqiNbLnaSYhvz1cIW+Dm7r6eeR5JjmelPfaQKe1dTq1tbUJsGgTacqPK1DvRx1HhrKBUDlei00NzUCnncTa2Simqg7RhayFloCOWSWF8jdpIqZLPcpkV0Ivl2BJL6Ag0Vrkvw6N+GGsy1q2H/Ay/IO/WY5m4ygkUp8SyjqfRpQrYLlbvmV/wkoLo75nC/BWHoJRJkCsQWFMQcGnDWEzORXg2hSWU1c8rqku53EFa9CTgsVQhFRhr3naHashb9Ub0DkL8DOlbp0FliaEsj9U65cA961cCxwDtR6uuae1y7mVtegKqJ6YEt7zkfRTyCGswt+v5Fx7u303wZ6yHNxdjgbsp5dKSrF903rSFZPGaP+vYmRYm51BjmXWmf/fznkdb0FxbuJ30wEMT6t/gPv7V65zV7y12OtdCCC8xDNkhIG0aZ+NnGdPPM7r3TGbec4C671H9PwsIDc2i/vp1bo83rTRJ6YvKq3QG1LGFcgLmjp1atLtXqBjACSyUiHQk9FdjbVDXzvQ8e1s5H2I0ljp6aECm48++ihhp+kBKEf00PgR1KbgOqQo2lVpH/NrLOtVidU/wou0Kvv5B+BkA7i2wzKu46XJsRlJYEuIBvHj6CncJg0oYgujbUviea2oc8IqWO47u4mLR6GEYkpzILxh1ebzCTNdjlcVyI1chkW7W8RM8j3W8okdqyfKT0q9keNYH7RbAI8ca6K19SqkWLuckQD+SYQQrb+dNb208Q+vsQ5DIQzEXQX8OW/AdqKr5Uobl11uc89PAZCFgPJgAHffPB5BLQBoyrqBY97uWGYG5NYotSeeQgdHcZ4WhXrvIY/5Y8Jlj8OW/BPrtSke9Bbcr89cu6bVAYVno/WYx/vQl2vy+aC4z9rqKdd6O/vYHQOrnv0+yX3rkAIs1gKnLb2IGjeuQIatwM+KU5VDVvG8gMdASADjz8dqdDJPp0RpyULJNZV3U247Gz08pYCO8jcKp+mBU7iuJQk6K9Saj2VsSr5jCugsICb/LMr8JD73ExT8erysTYSPrucFlYWc1lb+LRLnUsBp9o81ocwnuiOdiaff6IawPch2Lh5ZH/62IKIC55OOKO038JqOReE9jqfyO0BnW5RKKIHSnEZIqMcb3Jic1Ifkl151MXwvpVKmu0bhPRv/8CAgVJPSK0xS7AlP+3s+wCoEOu/ipXanDugZvMzxjGxYlrX9ngt5veHGAKzDNb6Qh2VmjVJv5r7v57wWy7c0odxnQ2KxnnMnQk22vm/3A0zWYshkCIZPkth3azEW8Kp1gOOv3/qsrc59rk9pYjrPkS3G8JlxGCjanxR7NYw1qK+vT4rMtVkNjtGy33jjjcRLMjKCUgpLQgucqgKdckWT8QQIAppy29noZhYDHcvftHZ6qLm7Bjr2Yukl+5Lg+KW858ITx/FCedaUJxXUudHNAYX3Q47RAcCqwbOaDRB0xILekReuU7TPUvJEfghbEy/pQ4Tp5nPMy3iR98lDaW7Gq3maXMsvWIvB1Hp84cgId+Dx2Z09F9BIK470w7zyyXLkV+ImneUUh8aficc/XEOOJW30dCnNPePGngJiyQHkw3Yhf9I3z3d9Y88L+bmvm8RpXRv+wWbGyPRozsyTeUJ63vMLbrigP4/AsRrwiFaN1sAz/eZwv2VohOgcDLyMIPII11fH8xtPNVUIN8AGXZH7bM/OJ86rNkq1Z5S+xjklUYmG/+XZLe5mnzU1NYkBq01sXOkv6SgB0COPPJKMMFCUR0AkopPGwFSrx1PdLVMLMMLGjx+f5G9EWS638KqYpyNa48SJE8OgQYPCkCFDWmXhmOUxjxfFA4eFwu4lITwXT0bhqfhxycdeewRFXEvY4h6Uc2cU+bPUtuxL6OMvgNJ+WKmFaNj58kR2/hsBGjaA63RCRRNc94TvARxzAJQDAJyjyXvEr3cPvncaZAvtu4nr+RcexLrs9yGn5OpKBI6019ByEK9hvecrDixFCj0pxc7N/30u1/s5Ob29WL+LWPf1WUMLhzWRNH8EgsblUYjSJnEejZFwK62HjM4feAY9xbnYU5/mJRtIdOAcPOCkSS35vYVR3zu7T/aWjgRw1iI/F7fGaXTdqDdw3+tALvI2jlGTQhyYgWe0C/+fpk+qbaxBXV1dYhArf63hbWpOqgbJ8oaGDRuWMOUOO+ywJBddbVI1nk4pqBy3s7H+Zi25YWnJQu1fxZ4iJbQkf1Poui52MfZDUXRfYNXNd+3qf8OLtSeUW3vM61LCcRcT3lqWhPkKztLrw367uP5cfyA0MoqwxsdYpPsQKtoehVVTAuh4sVf0YPJIc/BU7Dh/dcyyHCApr6aYnEOYaAPCbrOdpW5V7A3kl5ScDmU09zR5CBbUWijgE/nMioDzPpAdWmMzWlHiTZz31tCitdZeLBdnjT1z5PiU7wh4wO+50NRI1seHbTfiPhcbTrwAr8yAbilyP+XO6/HrMhWDIsezfRjP5NasYzze+nNo8J/z7D2Yh7rdyPsylLW4yX1uNh5xDpC1MQ8GOtO4x/Ws96vRvvU+9uL4gWPJW6g2T6eYrLnmmkmJiPrEXX311QkI3XvvvVXZnaBqQKfUdja6+aXUxxQDHeVr4v0rnKbYqfZfqQKr733ve+GKK64I13388SLl/RQvZS0vu3IC3fEURqKYnnSzcraL2uY0k7QfSQhL4ZxuKTc29oxqCPsMYTzCT8gNWV3KOby4O/ESbgqglNtjzQPd7wG2v7k6jsuoj1mTPIFIEP51biRU9SLgezzX080xv+ZBAx9LnkksvYBX1cQ+/3cM1/+XZpTVFMKFJ3IM3/Lnas61B0BeiGGX5q00k297HwBbjnO9jq0r3scBXKcVNN4IaJwfAYHvMXeA6zEnkLGn2caWb4h3m8Y0fInEfmCd4qaazRARFgAIPUvwdN7Dy27mOg7n7yMhvVztpovui6FkQ+9EHDH6jz+P+a51zWYYH8GRBr7gHs7mmP48m9x6dMYgejLyoO7n+ApbhhJAp5rHGkjEfFNkRec/YsSIZKtGWSJAR8kzAU6lBrrF7DUxRLT/1uZv0kQPwbXXXpu4vRdccEF49NFHkzi98hqPY6kexgthtOX5WLOj+LuYUSY3obAEEg1Y6M15gKAQSSC4FvO/58W8kbYw/3bTKs2KljLO51cW6rFWg+LbH9D5Cy+61QRNomJfCnkEgPczx3g6II+X0QmrdwuA+RI3WlmKJqCwrXHouo6C3gw4fYHXZQ1M45Y/C9yo5ntYh3/R8WC7aC5QLI3cq+l4NYdxjCNgaI3HYxvP/hWmDNyzvnixxSZJNXCfZrHvVVjnkayvpznvCLhOgh3ZiWu0t6AmojgrGR8AiT6sc77por6mZmmAYj3A5f8IWxrzzaaLmuLZE8Dx7aECXuedrF+9Axzv/dzKPdkNCrR/a41F1xmvusF5Zgt5r6yjtB+1kM/AqrbwWpqISJBWDF9tUtWgI69DVGhRotPa2VRieqjyNxpJoNjowIEDK5p8UxhQBV8qAtNYBeWfBDrzedA9ldp7JdahYAS1Lq8Q1/+QXIkp+qUJkVir+I1Q0qu7nFEhMeZSJ0dMaEIx3Yzims5Lbp2vrUZICt1WqqGMdje9YSWl1QT9E6WeQ4EKrIrdjXPwJgZQP9NAIapvAfRn1ns7FKQV6v6W3+WTBsKfk1z+rQlv5dFoLtC2eBeBz1ljz5NRil76kD+wHMJz5Gre4HqnkXtZJ6W/mslsQGAqBbiTsPR/yGZMw4cwXqzLdBOf2wvPUeDue/vdg5fzRzzFsSnTRdfgvObwbMhjCHgM2+LVmGKxIX+ru+miozEo1nQeji9StdEEMznH+Llq4jP1AJuF7eyYL7hc155Rn7XAtXwEnX28A6uX2a/yIAqzW8do5XiqPbwmmTt3bsWHXn6tQSdW9sq5SGHLC1EH6jQaY0vFcjpql6P8zYYbbpg8YJUSgZn6vr377rsJi0RxVhV7WchOL7cF7+zfBkCxkq3h5dwKD2dnwm8debFed7mTB/jZhe91KdIKJW3wWx2K1jokvwf4GYX2BcI+SzsAypUAOmnAFNcEvcn1dYXu/UNXE7QzSrrBKanjoAOvyTmq6LTWtQCai+K9EcV5a5ToHolSS2PZmfyG9V4ZMPgcgBwTzQW6nH0t5azpc4vs217Ah7iPVoR7CoDv+6stT25kP7yCwwGenVifmG3mmYbNANtVAMfermNAs/tp9SsXudzIyngK1uTTCnzPjJ6rNTk/T5RJE4WRLejjg1gGCAvxiOeSp3vGeS2BcOhsji0DS1phjltL67NmHroPklve9CMIB+uwvvXkOi33tu666ybdTPT+qkZPeRFjvOrdrlZW2Cw6ElS7VA3oSHQzbeSq8iuKTRZqZ9NS0cOj/kc6lvbv56BXavqprkG1Q8ZeE9DlA51OKO6EOZNnv3aGu/MdeQg1JEdXw4qc7qrb7+Xl3AjFtB0Fkf5KOzoFmU9WQJkd5YpNb0T5XE8ozuT2aMZJuT3WVuFYB8KsspqgUTDzLoTyvBmhyY/59/p8vybKqXR2zT1zWLJivQWOZQrUOgtsh7fXhXtxNIlnK/JU4WbaXKBxjiTwrmtfdDrKeDeXl/MiRf9Lvr8G3/sw6q/mi1CvxrO1a93DjTUvlPivJdy1JaDjFbGt12d4DH91k0K9+CafCyEAWEPRwShxY735+13qdFGbS2Skmr15jia56/J5I98N3J6pd/HS+uOJP+yAbS7PS457sYY7jw+4z0vxDglkVllllWRT7le0ZEVEFCLXIDfzgPQzLf+zuGR2VqfTMpFH8Nxzz5XUzqal+SG1lxDAaSR2JfM3sjQElgKXuHZI1+FrdowGYVRq+32+l9UUxQKUZBpQ9Hbdgy9GUU9z4NBAKMZm7diEyGK5Hxs+1i2ynp9F2d7Hy/oH8kNrOqCzxqKlhOBMmgrUBD2Ah1EHmMQ1IIWuYS2UjdGR48ahl5E/68V9mR0VeaZRnn0oNEB5/wuss1EA0STWZhnW/1tc31HkOzbAI9J5eOnEfdoWz+I1gP0SPm+AY+dW24I+a3PdfTk4pf1OLPMBxA95hudGfehKGWntB70F9nWvMxriOppavGB58R0LeEmf4hHu6Qpb66NwXUfXesnP/umPwaFnwJOIZPCKfiyikTb9WyDkvaC2HlnwdZoaWlWgI69DYKAcjmpj1Iuo0vvXg6JjKDektjaVBBzr/aZ9Cyzjh0+gYwPeHnCsnMscjfMkQkhbpzCGOpUAOl4687L+Gm/nJl5aq5wPKNdSQSf+TC0ewFCSxesScmvAo3iNXEpvch7rlQg6luhPqwmyuqDfwX5LqwEphTLdnKdx6Iusz11cw3AXZrLvFqu36cM1HMC2AHKGeSv/hsRQx1r4YxQKhVpuZF9AJ7avW0Jx/sB1ULB6GYUolyHkeUBUhDoTD2c6hsvbLg8VWNeJ7Ot8lP3uKedlIbh6umnf51hves59oYLNu9Gz2xVm3t+jPmtPRSQQT3L4AqCe48LOft/BzRJa1FA2hRlr7DWF+bWZF2QdAvzIgsXlBc1ZAqaGVhXoSGy6Z6UXTvtV/kYPh7jsAgAl9isFZm+++WayifkmSyhN9MAKdGpRxvaA/8M9/KOx+GpdWGx7ErQWCovDcfluYAdX0W0DvKRYP4TpcytgVwOd+ROOtWHKPs3TKSQ2LvkvLpdyA57ELYTkArmPT/GC8qU8izUoKvQqN7cA1DzLbh0A8rspVf8tsWEbCGttSd7qbcI+ZxDS86BWiqR5KwtZs/dZd+Xj0gLS/h6+ifFj3oVAPHBuI8kfXk9YbTBhtQvxAK0h6ZsO7Jr43ts8Q89CyT+B+7wj4chl3XnYlNSc89oU5vPSxPVZY896V7gaj5heL2WdjOG2FyFZAzxjOgYMJ198XQh0vMgLUhcAbfq7uqQYAImIoGa/BkL6d1t6QTnSEtVYl1O1oKMbIjp0a4ar5WN0KOSl/QvQlL9RGKwSk0ON7KB2FJtuumnyYOUTAZ0IBc14BncTr78Z6/Jeti9I+D7B584EdHq7F8Me3Y8KKO4GPhfX6iwXzdoZQhjp75xHN8I5OxAy6lki6HhvKM6lvMB1XktC+1mYX6sCrNsCijYttdidSbPolQRuZtuJnMAeKesT533KEbs+rVtLiakroXzPzOOtlNIqJ6YW3+VA5xAAZ5ibz7RM1CrnRQycroChwKcL92BLyBPvAkA2MG6MGxAXM86aybVMoYh3GGv1LPmqx93Mox6uCafIIsFRuu+O7u1kCmXrCP3VugJaP2J6RTwmH5pudM//vnhBFqrL8bxYCM6iCvbcpYWopC/iUfTx+53PCxIbrj28oNlZTmfxi2646m/69++fAJrlh6wNTmuYKHJlBWZ6EEVGKPYQ6Zj2QPRF8YzhBdgGwJmPtaZ8TCAEdzXhB7FragjTWE3DloCGeURrptCYC/VWszkkhzqa8Q2E3+50HleTYwjlvb4CowcGsz2NMjsO7+d5wouXuPY3Nuu+kNTkKcDcgTV4DMrv2SibbcmjbOCUTin7z0XHkEEQCD2thgLeww2Z898pJrmU/5/vaMtS3Gk2qzfJvuA+zeL7li+6HqKJhVFXR6nLwwwATh9yJ9YkJc4lDoSSbQWcu/M8LptyLo9zDue7epoOeDwbUuj7YVSbZLKGKw72oDDe1VstldJp/E3+bYPuPOj4zgjfcgZCEwrvYcKnywKUpgT1b0laHrlcynTsBdngtvfwgnwuqFJeUJbTqZJx1WoPoTyLF7NYWlplbGCmB0r7L+Vh1HHMbZ/nJjHGTDYv/ajzOJnw1C+JmZvXsQf/fwGkgf4A0A7Oai6VJFDvilMDL+3fUBJNhFuecAC3UfTw1JZwLH2+Drrv4VzvWJTko66dyQ1YwdbVYKV4LR2gWq+077FPo9LOYm3GYEHfQFiygXUqVGlfk6fI83usrY2hPh9w64tX+K2Upp35xHs1zezvXdbxh1zjxlz/diTr7bOWX7mFNdgdoKp3Y74Da/h3vJXLuJY6lPSeEQAXMpk6OdKJFzuX+RhK+Ya8BY65lwNCA5Ntoy4BNRgNz+PBCOj8G2rvSCP1S0NdIWs94GaeX23kkTYB1NNgt62BoVXniAq9evYMxx+vHhjRtbaiTidtcNu0adMWeUES84K0tcQLsvBa5umUKZVA+zh/k1ahaw+PPlsO6HgyQhqYFRId0485sEfD/7uQV2JdoY/AYr2VpPpAFNA/3bgD/bsmzyTR/zmvPJ8Z6jyudQDAHJTdK10YbnuID3UlHst7MR3d9Msc5INfAxbj2M7kGg3sNnR5mX+zZr92TUdNujmKbxOW7dmEY77g+jZySl0U6vjpm5unyNPA2drQjEGZCgRMLd3KdRWr/mrku1J6DRggV7HO4/BYziJMKMCzJ+5J7q8xvdKIBIMgXfyOdTqWvItCjzFwFCtKSCZquv+30esm11NDtG6B73+f67TponFiv5ln+Xm8s+0xfOwNnYsBUcM66B7G7LUnWJeVOVZwn1nAOhl9/H1HxdY9VD520uTJJed0WioNDQ2LvCDpFMsF2aDIlnhBirxoX1lOp51FCy8PRAre8jdpYg9POXkdPXQCs08++SQvmBUSGwBlZAB7NKw7gf07nzS4+o+hKDUDqe4olGNdhfilxKz/QVX+jrzEnmYbSvSGrM7jQtd+5KYoDBdcUWdanYc9bIXqdEzRTGS/L3CcpwkzGth1d2ynP0UtUtKkDk/nbQdYvVDcT0KwGOBo3rYeo/h8viLPLoS0hrPPkzh3He94rmld1n5bPAEfurO5SFO5BlPkvjj3M7yVex3I2lp+2xksNmWz0PMzJIWWXQrFOTjPIXCOd/C8dsVrsBHcnfBMd3DTRT3NegRr/0YEYsZSy3Gew9zv61xjz89dc0//3YC3bH3W/ByeRtZvAWHcLaPvCahWWnHFMGHixLw6o63a4NTU1KR6QcoHPfPMMyV7QfJyJJmn045iIS9RrdXiu9ADohtd6iA33wxU0tJiUgFd4qLz4hjofOis15ddk81YfI7GwnFpYFGL1d+NeHwfLMcnSN6v7ryGdcsAnUb3wBgdWPIUgPBfFMnWeCY7o8B9GM4YRwXXiZ89UR4Hc83jCTE+DIHCciC/wRPbmwLO+K43Ujj7CsA5n39fyP8/ALA9hYeoawluXU4voauAB5yueED3ABaPAoznRl0cfCJ9GDkv5e5im7YPzUhP5DhXUPMj5d2tBXU6NdF3LDR1GM/NNqxLDGCWmP+Ie53jWpdm/b4gRGiUfJsu2hswmQ0QreaOacdYyHrNBsiHRee8EENnNgD/SKS4vsjTZ828+LtdviYeayBR4l+jTAoRBdqrDU5DHi9I41zMC/KMODsngY50TKUL6b/2oNOS8JrvzyawKbX3UKkjqys1zE0PR/Lg1tSE83K5JBdRB3W2N/8+EwW1XcQek3TkRZcC7lJCOK7BJb0voCbjKpTsX1EKvV0nXymGfH21C+Vr1mdfz/Ew7YhV6dlw27HpJW8u8YFsiq5lmFNGZxH2sq7cjxGKagDwtnd95A6DDr4VIGujkHNY3AagjRRx3ogCNOLEGQDGmuRO4s4CC+iL9xYAa1NR1yHPFggZ/Quv5uaoi8POkWdY6A2oJc9ja9KSOh3/b083ngJIXIQ3YPdsOM9gI2tyB8/qgdxnext6QKXelXv8gqt5ehVjxEY5NLt7PZ/PfMz5x8GhZgyzOuc52XetY7bufYC55ztf5Dhfu/8CRf/2GrFCXQYKAU5yHouh91pNihdkjDgV0Ev3CYDkEYkZq/B9tfeHqzrQKVcEGqIs60aU25+tFNCxGOtqq60WVlxxxVblnMyzevXNN8P5558fbrnlltA0ZUoCLB+QqP4WVuAoF7baBM+kt7PuSwGdDryw9pkBKOnTITJch/X4PMphCGEHs8SXyePp5JM6tl+wNVKUZ2y4O9znrgAYLDleDHRi6etotAe7djHWg846CwTWYGd3LJ+8j4+7Kdt+7Pc2wORBwGoyXobviH0c4aatCTN9GRD5qnR3jTibYY8dQaJ8UJnMt7TR15O5R/eghHdh/3E+KV+X5Vrqko4HdG/l77fxt/V5Ps0wOYif+Qa91boRGoMhYPSLziPwbN7GvrcGPGpTQKHG0Z4/cc/3cxgcNvOpQ0oO5xP2vYb7bMCzlZEhI7UUxlc1jDZoaGhIIjnaBDhixKmDy1/+8pdET0nHnHLKKWHXXXdNWnAVA9LFJdUPiwXyN+PGjUtCXwp5ldsQtBDo6AHTTVT3aQ1zW2mllVpNcrDwmlps7LbbbuHOO+9MXtjhrkvvRrz0L6Kwd8VK/B3t/nOu2WFAsT6Qh87cweWAYumEUlKYpBfKYTjK6xQU786EoJ4vMLX0K9cXAYUluW/ieu6ENdaM4t4Gz+UslI0P34UiHlFc4GntYv6PEJcs8CNdYezKZdbq2Pr2AYD+Ss3Jf8hNNBGKO4Scy67R3JtQ5NytZU5LOv7lohf3cUKP68MO+xxvZQO2Y92YZrs//8XQqeXcO/G8dAR8rEP3nezzXYydOsJX5hHrHhRTa34iaIjO422Yhzu6ER2m1qdyHjXUc9lYDbvvbwAiS+P9+bdzjgOsHdh3kzuPJ8n56PpFCCpFqm20QU1NTRJek0GsgW1XXnll4vWIkr3vvvsmY2Duu0+mQ/VJVUFhqYr9008/TVzKcijL+UAgFrmwyg3pZ2uHxXnROapQVbFj85ysnbzRUT2RYH3qV+wFPB+vYZSrX3gYwOpA+MC8lP4u/FJs8FgtnxdLKFDvcAXez0WE5gKK6SFoqmnKsq4IMK2HcrgXRtbfscyNDdcV4OhSgqeTr6tAYB3Xxru4LCUMVUorm2KdBU6DGbU/5xJTuouJHds/7dNgUzWzxtsCnCsWKA69H+W7Awy+euY0vesmrN5D+KoTWxPWfy2U+2ULeCxGHgkYJj2i9SxlpHVsTEzHKzXg39XVOTVzXh84lpo+0yUPYBn1+ym3lrMw2GYDjqtG33sPYLaRFaW+39U+2qAjdUGa3aVznTRpUmIsV6NUFegUE7mUb731VnjjjTeSYs8BA2IuVus8HSXtlL+RBSEPp1Luqc5bs3UEOmK+9e37ZYMV5Xfm575UQQZAadKfZPgNhL068fJezIv1D6w3y1es4xhdpXgo/rgr4jHYC/wvchof4h11xCuyGTJLlznWWiuuq/85mw/DjXJe269cDmXllHMuBhq1eSZ5GglhNIo0bbpoKcCkc+pShHGYT2LAfB9w6Mo1j6V7w7WA54aE+3Z0330UL8E6cte6c1+R7SBXr3QDHmcAOPZybX6KMd/ykRCMcabz6FWCp/MpYVajLg+JCmuNMv1fznFvqNj2FuZcDmoZR/22t9j3Weuc0qEgADhbAKgTiJhIpxRr2FkN4bVSpoZKBI5KN1SrLDGg41vOqDu0kmutkRh01ABUyTkl7LRVqk+SRh3IK9NDodCaAY49HPM5h0KgE5yFuTwJ3014eXd24Zq38BoeIhRkCu1J12YmlkK1PN0Au+tQfj9FEY5zjSKHoAz1ohejZfjQWW0UhtMWuLZz8CR+T/jN1+lsFDXtLBV0fJHnIMBU1zKA89+P/IONDfDfzSfx35vxSgPkAmtD07+Ap/MqxkI/vIrlWHM/NnsMINnBsa9mpEw9TRMbgvaSIxsMj/rKlQI6Rl22z4/hnr8GhX99DJFtos4YC50ndw/fHYp30ill/aYD5gdF3aibYa3pOgLX4M8tuGLZvZ0BZucrryZAZhjqvqPSB72bqr+TTlCISu+ofu+7xFe7pzN7CelGUHWgk0/RyxqZPHly8hAo5FUJWqCfHhoPXKvkg6DzFtjIM1P7Cy8tAR2rjUjzYgahqAMhlmF4KFKoPV2tzjC3j9jTSRMr/LSOzAFlcyXKUCE4XUUHQk87kBdqyPOwJXPo8xzLvJprsNbTwnArs4//uHBiLB445mLpz8W72hOlPQ7leR3HsYFuUqClSNy54AHCPsF1lTbP00Kf6zjQ+Yjcyaow3Xzllx+bPZ9apYdYC5MbAWcRUPJlJm6kCWtfwmNvRQDzBffurcgYiMUoyEaE0Hmb7E1u6VwMBqOGb4vnEvBe6vHY3nSdrU1eZl2s/qjBPZd1kDled2QC78WYAbLQEQ6aHZnGn681WDXQUe5DXe0FKp9//nnCDJPno5o8GbbygARA0hMZ6HwNQSdNVIypkQGqFtbI6krdeIGO8jYChXjgWiXE8k42F0ihuziH1NjcnCRLrVHlta5tvEIAHlrt36Wy14x6uhKV4DcR27+Jm25MtaYSwmJpobPVaAETUCw7E4u/jnBfZ1hDO2L99i6RJOA/ky8Mp6R+LSG4QA7HCjtjb2W2oyifQy1PIBy0M5s1pxxD2EphvgCpwgaw+Z5jscwjB/ExCu9TQpH6921Y5y8DzkuxHgESwkaEMwtlFjpyH22yZYDE8BLK+AGXv9iFa+pATus/eE+7uhHO9gZ94lrG3Mj6rkKu59CIvmxK+gFX6b8snp3lfawzxl0RNbwGEDmY87R9GfgZCy1wDfF46ecIE66LgTHSgc7HzovzfdYaWTcDq4EYYvVRjZQZutIrAhdtq666ahIKN3qyQEiisL5ASp+pNmbY7CWkBY6kulauBSMDWirycsT0kDUTD1yrVN83n3eyOh0v515wQbj00kvDda++GhbK0kKp/ovQw9bOYuzsFFxtGZ5RDsaRtoDiuQbG06P8fQaKY3ss8djftHqKfNIdL2smFvk9KLvH3HCu9R1wFQK5fBNG4zDcauStZqPQX3FKfSeX09Lvu0HEWKPAMTfkHN/EAwlcy1jAZw0HbOs6xb2AsM5MwpwLAJ1lIAIcQxjqERT7WCjJBozyGNWeZ7+oNb+XN+gK3sw5PoU3sA737hGA8iEMgT8BYl8AItu7PJj1fPuQ+7QSbMLXOTdrlnoeazkMo6UZkok9wRZS/SR6DqwzRuC8fse+D4lGjZunMxmPsw8gHNOeA4CzESHll93zMAUPykJ/3lNs5tw+Zl1XAXTq2IfWSu/m6aeriOB/RdEJ/V2bGLJjxoxJDFXVA+r/xZa1LgEiIyzuEdazM9BpmdiNU/5G+RW5u8VGBrTUe9LQNSUON9xww4o9MAIVhdC0/7huKK0DwlFHHZVs+l63Ll0Si3Qalvc8FIlVqVvIx5R/DS9pvnb49vLG+RpjYBmTZ3eUkzHVlnZNQzfHWiyFJGCfqXUTPwNFglehzD5xCmtnlOHGkaIpNtY6vpbjnVK/AW/lRkDPwkH5wMbLfPIwbwOgb8EeXI3zf9AVT9pgOq3b5ygyY2HZjBYvXfBAduF+PQl47oJn+yg5iE6EDnfCw+qIUj6RddkbcHvKeQm9IAXsxfrbhFULF+6Qkt/6mP2uC+Dp/PrhXZ8A8FpT09scSFqIbTd3rYVyQdYE9Y8prDd7NnT9y/FMXOMU0gKOb+2RNomei4/xLnX8Aa7jQGAdFnK9GxIylRceuDYRCFZfbbUwbvz4kjwWGZISG86ocL817JRRrPoZ5YEEQHrnFwfhYPbs2cnxlwSpKtCxxRODTHmbUkYGtNR7kpusfVcKcDQ/Q+ctAEnr+6YHUcdPG6eQTBWtrQ3vNzcnluc7ziqV1GCxG9BoCFxAAd6M8ooVeIcSQnArkDeZRsjiXyiZm5y3NQLLvRSSQNpn1nG067PIy9QThhFNuyvhph3x7DqUMQG0KUWpNxOO+RfgszzsrQl4i2sAiGb9B7yFw1CA26DILcexAl0JzsAQuAHP5k7+vwYvpdSBb0bpDpzvnoDXY25s9gUwE3txb7oBKj1cy5e0F7eeZ2BjjBUBog9G25o+CcX+t3ko5auwHQKw/MytdTxPp1iwe0HKOXzCsz2d508g9mXnsC/vyTw8mE/5nJ8Qa+dxlwvZPeqOYS11GjEONo2+p+dAEYjRo0cn76oMXL1/hcL2RiKw91aejTY1/JUhOX369ASAXn755YQ4pPCbeUF+9HVb680VVyw2bLw6pKpARzds/PjxSShNVkUlE3fxwDV5I2KtVEKUr1FuSA/b4MGDUy0du5Z81Ms33303XHzxxUmngprXX09CAp8REujvit2WJjEcCCHNIhdkCnw7LOXhJRZ1GntNivsotmYHQmNcMnhv56HEXZkLNfM0sbzFzSjpO8gBWbuUWjfgy3cwzifNBZqTrgjo/AaP7WG8lYcAv3NQnptw7IVuIuaUPOy0Tm7GTEC5W+6pNXU6PdxIgia6Gozi/OsBtS7Rd0thm8XA57tTaExGMXPuOTwfu7edU+bplFqnY58fhTdp1O7donvZRG5pBvm55yJPeC7f7eQIB3atC7iXUwv0WVt33XXDo48+usgA1Cbd4Hsy2s9SmGt6l+XlaJPOMi9IkRSF2AU6BkDygmrbiIyg42ZEghaI8ipK6FeqIDNt4Jqx35QkrMT0UKNaq2ngoEGD8npOxcYp6KE944wzkq17585h21wuoSiv7ObPrEPF+A94ITel5X4zCvw/rvOz0UyLNfPskBI6qwW4tAX6mD1DiOIccgDLOw9rI1eDU+xYyRpwjH3Y/PyeR/jbT8lN7EyISADrV60Ybdq3u+nljrUQz+dBiitv5nhiPZXLW2xIAXUL68wvszjUpM51E5iG59mlBV2hfdg1xzW/7Wj0e7IuG+Vhv42h4LQzYCwAjNWltVn6G3nHtO7i1ii0yU367Ap4+LCnPTvPcr47cI3W0y9AL5/M3w1w7BiB5/4T8lCPRs+LAdHIkSP/hwptLFb7t4l5QKXW6Ojdl+LXNnDgwATMjIygsLv23dt5QS1pHFxKnU61S1WBjkQ3zGKolZB8A9dKbfiZT3SOSiqq2WgpVGt7aIuN407abThlZv/u5MgDDVEHgFiBT0IR3I0ntJfzUFaNlF2HEoCpJ8efiAVq+/azdaRImgn/5MvA2aveWGB+j41h2I4E+tWMOrYmlDu4Go1irXIkuZRz2ILtNEJIWq9+FehaIK/0y17kX9KHbyGUt0+eHmuljqb2YvfqUYAj3/QUs/5zbihaHet4Ix7HA3i0xn5bDYCpJdfTg2fH1+eYfAIgNOI5/o5QpBFfNuE5tfO9C6NlIwDnpQjE5rnz3p2c0VvuntmI7VrHhvPXOpd9bMMz/ijKzXJoui8Kh8WK2YfW9G7qvdY7qH/bptC5AEW/j72gQiIjV3pBm/YrYJg2bVpiqGoml3Sdn5vTGi8o83RaIbqplQCdYgPXWgM6RnRQWE2eWSmDk5JZOjU1BUFHrBiF6Wqi+p0YgOzf+axpGxO8Fkn2KW588/IA0I58Js3TicUTCXq5VvtGY77eteYReGwGOAjkViizmacB0wGcpxV13uSaUNZx/a9BhkgbpVcqcBSyX4u1EPKg8RKKbllCeq+SCL+EHFwf8mMHuhBiMYnP/SMApBYv5FRCfAbSvumJPWUjYY+tDgB8zr9XpwHpDJS5NTU92zHB9sLYsC4RphKnACKWNxnpZv5Yrq4z1zvNdYq2SZ8PR12xpzuW40auS4E9J69iGPTmbwJQkzlcQ+CZW9Xdt3o39lrXpPBXIfEGabKGAI7YqHrHTV/kC8MVEn1W++jevXvSnkaphLSO0S2dHpqx1xazlDJwLV/vtVJDdVaoWs7DUWiGj5h6AhyF2ZIaopSiUf9vi2GXcnPH4YFcjbL4B4ys7s4alUeU75HNFzrzNOZTyAFt58ZE/xbr2dhw5YCOb9Bo3aSD69t2P8prKxSNdSwY6ijlocTOBV65L3QA+hOOZVTp2Es0sWFwq0M17kkodB8s8Emsx8OApl3jczDw8rWQyUVe1L38zubq3AHLbDyexsBoEN00RxneEu80VpG9yNXt7YyIE2FLdorWsM6dRz339ouonqqZZ+x6QHcW3xvhCBS+f5y1xrGwpO+Mbc/AJHKZ+7m+bb7P2jye3VWj/b8NyG7JGpUbztK7qhpBheNVtmHvb74wXDmeSocOHUL//v2TzTpGq7avJdNDbVT1kjA19GsJOqUOXJNitwRiqSLLRPtuaaPRfECnvmwiOagoTVZQ0qkgBVz8v0slCQRe6F4khU9w0z9vQME2o5g2d8rbJ4xLydcY9F6AApgCsNmogb+4z4yHJpvG6ynGXrOpmmth4fclPHQ5XkUvfm8huGJr5F/leSjMT9z6PUW+6Q8k4HcmfLSps9I/4f81Dyl+2joDjFsx6O1Rwnp1dK++nPzNDinAZvUsrxIO64x3+hjepOXcPgYc73MhT5PNXM1SMbZZPQSR2AM08JsNcHXCCLApqV5qXSeFQM3OA1EXbnuWprkO61tD8vB91nRdASLNPo4CXwO55TY8nQ7Ruvs+a8No1TSmTNCRJ6KmmfqOyAdpXpABUClkhFI6Rvfo0eMr00NthLX+bu159DOtplDGcObptFBaQ2EuZ+BauZ6OCklFiVRXBCUJWyJxgageVlU5q+LZ54VUKGpsLmPkdOLfI7H6ZuPBXI6SHVQEdHx3Az/98wRyD9viRTxOeGgtRxSwUdm+/1axfM2yhH9OdfN7riREpE4Cp6MQTNn2K7NOpwaPwo6xAOva6Mw38pmfc+wdOdYqKfsJWOx3Yj2vB9BsCjCMZH+T8BKNKTiHddkKwCn2Mr3C5+pYJ8uXPOoIGn5s9gLu3YNc64HkuUJ0H/rBRvsl+70TgOsRjfLOV9NVqCt0cLkV/a0bfdGMNVYsvd4x5TM2anws+znAUcE7uL/JEwx4OCEazqb7PJ81HBl5tjbKYWMAx45XKn3ZOpXo82qRkwYecS7Ib631ghrc9FDtz6aHKswnQoLAybwgA5qsDc5ikHIHrpWa09FNF9jIG1EhqSyNlooPr+mnFcDGeaGLL7kkXHjhheGWl19OPjcTRdeIdagcQROhibPpt7YSILEDoZHaaMR1PjEw+gv/fg9wGMlx/uSUxiMo2IYySQI2v6c3rLRTsDwnupYz6wIMivtLSjEH4umih7IF8hSHsd93nVJfwXlzNoelERbbQpLYHQCdHMreQoiNKLQbCJXN53ePY9mvAwtOYFWbhw3Wieu8zVGXA3mJq6kxudaNza51oSUfCsz34tZzDgptxiqoFIqzramd/1MAQGBdvh21Kiplno4PE77jWHQd8Zi64DEGzs+IDwbs8fk1sfb7ALh2Xc14S69yrtZneVE9VwmsWAGOPBx9Nh/gxJJGRjAAaq0XVFtbm1CttYkhq0iOIi4KxQmENMBNICXQqSQBqy1liQcd3VgNW/vwww/D+uuv/5Uuzq0FnUrP1jHvyggDeqAEOHED00MOOSQcfPDBycO6wnLLha3nzEmU/1Bi438kbGKMr6sIe1yFZd4LxWoFd4XYaZ522hGl/Ds2G21wKf8WcHTGK7KOwr3K8FDsM5tQDxSw3K9EiV/gRjzfg0KRAs/XoKjQKyZwDIDQt6h5MqVuOa2uEcNqf2o7pubZfz3rri2Q9N6akNcDgM841nEga7QPnsq5eB57RmMITHz40/IipwNG30q55voyRxHMZF/zCXltz7nH2U4zGuq4lsl8Zjrn6I9biorzRsgbrJN9TzU6XSIjYyJGwurcC4ViTT51hdO+INeYeg/glfWJSDav2DUVoT2LNCDAkfegeruWsMnyheEKUbJryziOwn2qY9Sm/SmsduutCpaHxCgeNmxYMjl0n332SUCqGmWJBp3WgIIBQFqHAInojQIGPYCVmq2jh0v7FclB4GjJSS/eTdcxO3XpEhbMmZMox854Ld1RAPN5wWxE9AKs8JtJzhqLZyTKLo3K3LEAMNlog08BhnPY72iXlN4QD+vzAvsxiesqJKvgrZli/Dt90h7mvLtEINczpSNB6lrz0xRcH0JOJ3H8OwjHGcVZvens6Sk1wFvLfv3Y7Cfc2OxLCX82kZfYLWKD5TuO5UVGuk7V+SaHlgI6M7hekRrqWNu7XHulnVjj1dyaTkb5r4iRIPagV9lN3POpJOp3iqjScZ3OK6yL0eunptCeA8dcG0C0MFkgv3OnCxX3jb47lWveCS91YdRMdM011gjnnKMnuDDgKOKQ9l62VPJRsnPOG2qNF7TLLrskxvYNN9yQkB4efvjhcM899yR5n5/+VHGF6pMlNqcjtodAoaUD18wS0QMQf1fVxLqBCtMpuV+pVjnyXFTboxBgPALbqqPNErIHsK6+PlEWknoHJB1SKNMNFI9qC3hF7xHOOg0L3XIbAyLQKSUEtx3xfCviuwrr/ixnqV5JnN1YZPH5hQJgITA9DtD5LSB5nVOStXgXO7nO3PnEJ+NjsSr//fC4lFNJM1fKDVZ0Yo22o3P083iiBvqxx1YKcMTnY81Iv+fyYcvk+W6NY4c1oez7EiZ9FoB/zIUel3UMMPM2tneeX60Dkvs5lx5ct6dKb+08qQU8p6NcXkrnExyINTlvZB03H8qu4SMAp4bzNw/ezsVyNrsQZp7EuT6DETB06NDw2GOP5VXmijwIcNT8V4DTVs07S/WCaiivKNULUmhNIKN881prrRV+9CON9ateqTrQKacLgDoAyIVsyUOSBjp+MqncayXyKiFGGJArrHohnXf899jqsWvSwzQ/pdtzGujEshTx83PxTmwg2OlUg+/imFrleijr0vvNrNCf8YL/CwZVb0eV3hJlVAx0TKyo0RpZBhTI3wA5m2w6Ci9p+5QhdaXW6dixvBgAl0+o/+p+h5BXeDACnJYUh8ZzYSa7QWVrOvLBEMfymkXuKBCi03nUuvt3gfOErsF7HeeabG4XnW8tz8ndsBM787lbIqq07y5uM22W4hz8qPFanql7MY6Ca0brn5M7uLcHRddgfdZysBWtTqkRYNLzqIGPo0aNKgg4Tz75ZFJWoZ5s7dkturaEwlT7nAeiWBQ9EYlgcXe6/lqCTiUHrtkN8ol90ZbVvK8Sk0lNjDAgZp0e7DgE6B+0tIdKoJPm3XSILL5CHsqaMIQCVeFXEv++2L3YF2CNb5ZCFCgUgpP0YwbLE9RNPEWI7zaUUANMNYswl1KSG39mvQjktuL6rySP1cMRBGxIXSkTRv3snYBVfz+/mwBF2vZrs3rKkTTQs75y/wWc4yJak+aUAXE2AuBZ8hs2KfYvrgh1B0c66Yh30a0AZboXRsPPAJQf4VGmnccdGCpb0E6nPg9V+lWMhJsBDAMcf2+bWIOPoNB/GCmkRtavAcDp4looLXR91mrwkPz3tG255Zbhvvvuyws4mpkjD0fkIHkIi1Np1xahZBcKwxnoLClSdaPw8t148eYVTpOXo+R7ayd8JqEryASydiZMmJA8hMoNVQpwtF81MNVPKySNKdP2YOVzpXXdHxISaeSFf5WXcaZrBJomaaGzAYSuxhDvtlqP2wnLrUei+XaXp0nzdGKxz9SSvL+T87wG63UiBY2BcNyl7jpiKQYW/bCyd6ITwP8BaHcxd2Y9x2Kb4IaOFfN03uG6Tdn1gcp7May2jWCgPVRCtwKT+PrexDqvwQA4AwDdFoLIJKeUrRD0v5zbxpFyXZG1HEMo7zTur4XT6shVdSujK3RaQ1E7n494/rZmjW1abJqsTthuMMevTTnGvexzK3oM+jf/bUYfWJ+1Linej85lUJS/G897odD4Aw88UBBw5OGIdry4ASdNdN4yOEUykt7Q5qMzCtUrl62fRpeutmtYYkAnTYTk48aNS5S0lHeliqB0E0VZHjt2bLJPeTiVGIUtSduvrw2KASffAzN8+PAwo6YmUaLvY9ntABNoGopwLwow38wDBPk8lK7keOwlvgRlorDNTwlZHUTIpRjodMzzmW0AnuewfCUfEvKz0NvvOEZjiSQBE7OCDwEsXqbp6TaE4wLgtw3hl98Dfn7ftuovAwYdXefjVZxCPwUywM2w+NaF0TUSVpxyIMXkRQo4O3LuP4aO/APu0eXQndeH8PAOnq0p5o0L1Np0YdjaXS4/onCTL4fMldEV2j43k7CeHXNHarhKpUwviM53riNSzADArJbG5A0AyajQ/hqaMASmuzY9ZjiMA7R32mmn/xkN70VhbgGOxpuoyLvalXVtbW2iOwQ80iPalBLQ76VHnnjiiaT7ypJCma560NFiCnDk2YgSWKkJnxLdJD2cyrG0lCKZJvLG5DmJLOC5/nEbjWKAI7niiivCZ198Ea699towbPjw0JHrn+/qNp7FqjTlejYvXzHQ8WBhjRYVDnsRZb0rCsyqxo8hyS8AiR/vUrwhy2Sd5+a0dCYJfSCA99My8j5p3tCWhJyeQWGdgHKvBRz25zjHAzLzWB95Lz0BMFNydo029uEewOkqujc04638jpDeNnm8FcvBjCactq+7BiuifQyv7Sys/rtc/mYHFLPfXyHJN/6gGYVvHmya+FHSM8jXzGKfArFVos8WawKltbW3SuHQW53nvb0DMKM9v0oosSvHqk0BrFra9vR33xtDWHf33XdfRCEuBDjSJ0q8VzvgxGJhNfOCNKbhsssuS4ZBLinXUnWgYwtnA9dEiVaCr5IPiPat2h6FrtR2ImaStWa/Yqcph6OcUzzqwEDHGCvFAMd/b9999w333ntv+HTGjGQAlVe6Xvm+QxhrX8IyxZhpnfJ8Zj3yBE85SvPneEMWajqFsN/8IsWhacDUE8U/CuX6JxSQFE7AE/o2gCTPKJZS8zXd6EpgSfg/Evq5l4aXo9jPcnh19SW8MDtQ67MUIyfGM5q6KcVbMY9rHMc40L10aey+7zqvbQPujx9iVgro+ES9fWcCHsI7MAv341zfiPZp988AZ76b2tmQcpyX8faMYZkPdOQx3cpPO69VUs75QfJz33YjrQNgcxvP6Y4UzAbWfCHrrHdE1OF8ojCUAGeZZZZZNAV0SZbRo0cnNX0CnT/8QfzDJUOqDnQkUsrPPPNMQhhQaEqFUJUSxUCVG5o6dWoS+qpUqM7OWZ0R0nJOBjKiY2scgmLKLX3oNQr7oosvToCtQa53fC5RSOM4Nht14KVzCd6Q1URcTqhJbXL60RrmUABKeY9QQPnEXlUahflmrP0aEusvkqewnnAXcPxcmSw4f5wDUX5SljdwHWY5xy9DqcGK/qzJoyneiryjAHDExyh293vkOSejEeeTpuj6H3c1LysTlnobY2JbQne/gwgy34VbmyGgWAGwf85eJ5/4PuHBITwL10ZGgo2OvhXg8NRxf21GiulNzZMNjqvhmb2Vz+S4BlsL88JUTK1oQDHAESNVJQtLOuA8/vjj4cADD0w6l3z3u99doq6n6kBHSXeF01SsVcmkvj14yrNYbkgx0nKbfqaJERGMMBB3e7X8jdGlle/RNY4ZMyZh44nZVm489nvf+17y/ekzZyaMuJ1hcTVQsPlLrOS+VMWPg5W0HiGkf5EfMk+n0Cr4z3TBqr+X0NulWPUCiBryHQcQyjIarEk5lOl9CME9jjcxE2DbjdzGF2yFaOPFvKHNALTKDUT/X29Fifycy52VW+DpZZprz6NODTsDxM+l0Kvt+kfx91UJWQlALiQEOAljxOpsvg3IG6PvIEAg9pxecp0FHuC7Izi3U1nTHQijzsRDnsc9XS6lW8LTPD+5yBO0lje38ewNieqvHoK6LSPsqqsU9MyfExbgDBgwoKJ1d4tLxo0bF771rW+Fs88+O3z/+99f4q6n6kBHQCDPRg9SpZL6EjXM081S8tByQy0db5BGGBB7JI2I4CuQdW3LL798UkE8YsSIpMZI4KompYrNKr+knkrlnlPHTp2Sl3NXVyj4Q5LdAXbXBPIGx5GH+A1hE7WxD7y8uTJJArWAwHV4KTlCN69jOW9Frcd55J3KaeZpn1kehpex7X5NaKWRJPx6XOutbq5KuSE4f9051+Dykyg/0xJZvsBLFvcVi8Ur549QvvM4x++mMOtOJjxl+32dHMlgQC8XhQ/7cP9H8bkLOV9jjHVPyRE9B9HEiou7Ajh/4x4/huExByPoc65BubR+KZ74k9zb4AYVBve5BRx/X55Du6ejMHqOPPLIJMxUDHD03n0dAGfSpElJGPF3v/tdUgS6JF5P1dXpCAji4slKDXMTNVIPnz9Wa6aHWpGqjSRI6zBgRV5x/kbsE5unob+rPkikCTUtVa5JbXIEkPpZjDxR16HDopyMnyjaEAHFQBL1P0VB3wsxoJa8x4UUjO6IEquLPJ1CITj7zA/5/lRyS/fhDUk5WqvUN/FQ8pkU+dhrXaFEH8359SK09ShhLGvLY0WppYKOSY4Qk5RnIHS0rxuXsANAWk4HvhjImxwb8M/k3XYBnIdGISwDnfe4vjoo0xbCCyj3f+NZ3YYBYE/LAtZj0xIo0zZ9dhosP3+Nze6+WRfuvhgv8bCAFaDk/5Z7vC7rt1S0v1pyYZO47qcjZTSD8F0959XdPRMjyUVJ6Z57rrJ/+buWSEmrK7xyt0u6PPPMM2GvvfYKp5xySjjuuOOWSMCpStCp5PRQKXN5D8qjpA1zayno5BtJ4P+eVlGcT/R3a1UuwoReFgGQcj/q06bz1jEEQmkzQXzXAl9A2lCARNCL2PnLUJq3J85vzTCt2FKKdtkWUKb7R6MN/oU3YmSEv0GXtZ5dfpBZKWBRi1en/QZyPVdhaf8epVwHk20K1xH3BbNjSZqwnl/neqeg4A/Ei7NxCR1cr7GFJczriQfE3efCjhtT6GqzgHoCblbg2uxm/FhHZtWueLFw55EcazRr+xihrE1bQJmOgdjyR7MA+40dLbtjCWMNGqL92ZiMSYTiVgV07Nw+A0QXsM7mcdmbKsBReGnnnXdOiEYyzLT5d0PjAJS7Vb1OJY3YxSXPP/982GOPPcIJJ5wQTjrppCUWcKoWdCohClvpgRSoKM+SNkujJaDjOwykjar24TRJuTRsP9BJ4TcRDgSaIj6IcafjCXwEQlYQJq8prVNB7OmkiSmN3bDqrc3/DVjhavRoVzCO/E3fMkgCkk4km39AQeM+hK4eQwn7nmqW+yh2V3w7lUAISZ5awEK+Ck+ridqda1zz0B0BvJ4uvHYXlvt6dHC4gWP4XnaPsZ+JKPc6+peNJr+S1o4nbUDcEMJUu1BbswBAu9mteQc3d8fPsClkitVA2x7KJuAPZYJOU/R5eZFW8bIl6xPc2hcbi9bojpmD7WhiA9YsLFrnesXV8/ml3Hl9yO9+9rOfhbPOOivJ0co409gRjR8RKcgMM70rxkxd0uWll15KAEeenbycJRlwvragY1aOZlCoTiZfS/NyQcemkuqmC8jS8jf5wmktFYGlrDVtqkBWzkcgJC9Lxxf46Lw+JMdhnQo+5uYuLDJsKw6d1aPgDnKK9jLi7ldhRa/nZvesUmKrHJNavq+4v3koV7qeajYM7VmsX4Vn0mC7kDfUl/zGtXgAP0Th/ydqHroxCk+K8UOnVGVpp8kwtoBXuBshyzmuHU/srRhImJe3DR7ac+66rMBVW2Ct/06ivDaaYVPKIDbPXjOx63yOsN72dHOuyePp+Nk0Q6EkG+AEt/bTHH25EOj4/UkGudqjZsd8lIfTHSPiEa7b+rN9xPWfccYZybtl7FN5MjZtUyNONG9G77ZASe+K2txUokv84pDXXnstqT06/PDDw29/+9slHnAkX7vwmuVZZOVoKxbW0sNaKmFAQKYQWFohaakdBipBstCmY+klk6WnnNK4jz5KgKIOpbMJCtCS++ZFSBF2LqOocxjfH0xdzQdY9taZeEUIDPIcSiUJ+GMNRgkGgPIqFPhEqL198CJ2oN9XpzyeTr5jNaf0BXuG4zwBwNSwf18PU0xWIsc0DHLDAjyVGwE181bMUv+CdVrRDSzL94RswbYvSrrcGTbxILZPCQ/mOLYN5+vnAHJz1ta++wA5nMMBVstzBYyapzj/jbmH1nB0rajZqpEGLA9zMHknz0m1YtU5ANgebtBbDVT/D8kXqfNDGoDo3ZCBJoNTNTiKCMhAk9JWtMDGPcsTKnWC6OKWt956KwGcgw46KKnDqVTx+uKWqgSdlojPs2imuRL0xaRUT8eATOGuuOBT4rvCthXgpJ27vBxtKhoVAP3jH/9IiuNef+mlsCCXWxS2+IIk802AzHAU+XYoRhuLnU/sFV2WLgIBZW3D48zKDyi3PngNaaGXQi1u+qHArwVwrIPxLXgpHV0eqLEVXQt8XdFxWNFpgFOO2dOAR6ItAGjXEJ5qpkYnHkFQzkwcO58Z/P73AOUGeToP2P6nOsDJ8bsj8DBfI4z4L9Z2uAvNisH3EwpcL3fn8TneiI3qXhpw+hMsxf4A2XauqPQt7tcxhFivc+f8AQBXAxDtxVraNdzHNaxF/rFHFM42ERFH4XQZYCpNkAhoBEDyeARAMtBEKFKJgZF0VJJRjcr83XffTYax7bnnnuH888+vynP8RoOOam0ECrJy0vIsLQUd64qgLR9hIG0GTnuLjquXSAnGE088MaGJ3nHHHeGYo8Xz+lI5WNhkASGmB92LXlMkLGYPifdQ4uFx10MaGIui7QiV1ixgT+EoBSxqmRnzPUeR/SfK3NryzAfwdsSDSNtPMeDQecavsym81lBZtmT7MwC3TAtGG3hqcTPhJnkLgTqoyyF8bM82gvxPkzMMJqHgDwS4a1DqG7BNgLbczH37f+2dB5hV5dW29wA2jIqx/oq9xJjkMzEaUSxBZBA1logSK0Vj9Fdj/fXDaCzR+NkSSwRRiR2xE0QRpCgoRCAWsOUzitFYYhRRsVH/637zLPJyODNzZuaUvfes57rOhcLMOXufvff7vGutZz3ra/38f4sk4uOYo3rLfI3G+Ks2Btvp72ZJkTZcG4c4ij5VkbI1jraPVHmrSKTQtUgv1z+VBqSutO5664U5V8UIh7Q3BBOrUw3UPnmRokYZSvoNAkINxvNrQoRSlKLVwLvvvhsIBw+56667LleEk1rSac7CTehM2ouQ2xo+S0VjpBOPOqiEYKCS3x3Hij0Gxzd06NDkxeeeSxbi91bEX4soqE67XbMYYYJk4RVojJhWVDf6+YpUNhJBTIl2sT9UdFWYXit6DgXEZNYzvBIpuHrr2E2ptpnSV3tFA+RKIZ3Cn5kXHfMr8lyrlwDBJN+thUUTj+i4i6nqYvJbpPTUG0rpLdCx3ad03mjVjNorTYaYIZESb+VoLIBFOkn0Pc7Qv22qn7fvZIaioD2j6/6QjqW3opfYpmbFgjk3hvaq/51Y8G8f6TM6KU3L9siW+68jZ4r1RTg4Cbwwc+Zyo0EgECIcVJ80fzYFSMVaFXh2SZsTBZlSlMjHoqBaODe///77gXAw+h08eHBq1pXck06psB0ONxA9OM29QA2RTi0EA5VA3759wwusv846SdcvvgiF7POVBtlFi5WNvUb9RddDZy3g9VH6xgZulUIWhQRxk3bRv9X73B0R3H81QHCNRUPf0fGvqhTWzVp4TXpsA+Tmy2uMGkRDsa913yeqd9iY7yVS1L0czdf5QVRf2ryZ5puGd6MBZ9OiMdnFRnLb7z+qqOAHIqJX9ODamGxTFt6iP4kGwUoSJxihxaTzvDYF7RWpDNd7j9MG5M8iujp9d3UFtjjmaG6mszNUh0vUy/S1SOwz1bgmKDVK1JIoYltHUff0gsm4I0VKSyRd36hz5+T5F15Yrl2AlDLRCk7RLbHK4rlFbMSLtBzPPREQJESqnufe6kC0LVSaAD744INQw6G9A4eFhgRQWUdmSQePM6SE7HBo/moJipGOKd/IBzO6tvDCV0MwUAmsuPLKSd0XX4Rd761akM3I827tmC3FMkwNhzdqAbRpjs2NUIwgro6EAjurLnCDDEXX1kJeL1uauOu8MZgiioVroF5fa/G8L7JOeUiL2M5F+o7smC2N87Des7sWXIi3r477EQkFLhd5bqLzmKHvjH6Ypvwz3lSNoqMiqntFQsVUdfWR1c9nUQSDyq/YHddFr0RkdohIMyYcg6XUtldtJx7EVh/J1v+mDcNIXdcjIvKOrXb+LGHB+vquVtFmYked3whFOOMjL7q1ojHhFv0s0s/OVdqO9B1kMnPWrOUyGBADqTY2m+Wa8AupUQ/ixTNuaTgiIFL4iIgsDVdOtxQjUOo3mBtTm82q2q4UpPLMGlvIWezR4JP33H777cON0FIU2uCkUTBQLrQv6OWZV0TqbPN1eC2WHf/wyK36d6oR7K2d+bKttk3XhtbVDddXrgh3KdK6V7vrVbTTn98MZVqMlfTeffVvP1A0tziKAM5TUdok33XRYme1j8KazroqvveXrPcJfS9vSQl3VHTs9fqzU8F7/FW7/XXk0NBbn9eQqm5a9Lt7RBFCKdFVMYNOO6f5IpwuIp1ZjSwCW0ql2Ek1pNWKvN/zIomuImFIp10UOVqU2DFKK7YXIY7Rd2X3zOMSKGwrMvzmmmuGFHch4UAEPKcs0DhGVwKsDUQ4vNhoUiflc995552w2bV+OQiI/27NWvDxxx8HpwHWnGHDhqWirtTmSKchUAQkf2tmoIX53ZZGOrFgoJjyLS2CgdaAnZMp1FaIHvSG+musYdPGFt8n5dFo1TzMcmYfLd4blZAWS6KfWSVqGF2s970zGpXwJ6VWLAoqzNY3JZlup/PcVOaniVJUQ7TjNtlwO71sJDLHNbeRBX4VEVYvEdqX+o5einbycbOr9ZaMV/3msSg1VdeIqu6DaOz0tkW+w+ZIphcrkipsyrRzbCpptKDgMxdHE2vnSvX2XZGxNaB+pGu4UPfYEfq9v+oajxPpmLNEIlL6jgiHDAYmuoU7fiMcshClKFTLWSflRRsG64+1K1AL4hgtDUeGpDlpsU8++SQ56KCDwrnce++9zapJZxWZIR12GqS9aAajsF+O8JObg7CZMJ3dxk477RScABoTDHADZo1wGiOdUga92b7rdAkFTIb7oIr4GHJuHEl6G2tgLEZMZhxqEzu/q4Xqr1JDXSC1lEUn3ylB5m2fFRPTRjreixXp3Sap9zyp5ArvqFJECB0UEWyp43lAO/yZkSqsvdJNf4pqIPb7DWFdRUUfFTmmxSK7hrpNYsl0LEIobMq092vqSYqvl9kFmZXPnnJwiD/3I5HKN3QdP40+643o57roZ9/Ssa4qwoFQMOctrKFQ8yDyoU+utePqWwNSa9YvZ76JpPvIwEBI1hPEq7GeoM8++yw5+OCDw5rD4Llyp+zSikyQjskbqd2UcxYGhAOhoIBrSDCQxfpNQ1Hiu8q9JyrYflmik0BhA+l6kd/XPC1ql2kxuUX1DxMioMwqTBY0VRtaQZHCEPVx3KjPuE71oXUl311fx91QMqKx2tA3pKh6T+m9+EFoyVX+UmnIuVGacbFSUuuImJsrmS7s0/lAzaLzRRy7Rt518Z5/cRERwnH6HuMU2af62ZlKdVLLKpasMrn9IkUnbypF+UZEODE5PaNa3f6K7EyxOFomqisrZUd6L1FK7VbVrmhNYFZMIeFgA0VtpdaE05hvIpJtJpOyXpltFQq4uCeoTmsIvUP4xxHZ0N6QlYbV3JJOPD2U8JVpnNxs5SoYmmCAVB0oNgY7T4QDGKcw9r33QpOiRTqkc6yr4RhZ5JtkOkZjU0G/IS+1mcr736ji/YNaSFZVdGJ+Z6Wm4Gzh3FAL9oUiuNv13h9oAdtOMul61T7iRbVU14LCKwvRJYqC5ui941kuhfhMUQzH9390bDNVwxmuOthBkarOvt/5zSCddyU0qFPktIF6oiZG0aH5v9n3O00L+kClDm8sqLdwzIlSgL9SFLtt9D5mk7MwIrB/qB73z2gEhH1nb+jn1pOrwIrRsZirwH9LYRgvPDaWm9RVMcKh1opxL5ZWLOBpBWuE9QTh+cZGz9JwrDWk0u68885kr732Sh566KGwtjzyyCPh59sSUkk6gAWfnQ0XjTk15RzmZoIBCncQWiGyLBgoBgiUgU/HHntsSE8Qyr9IbSxqNnw5Guds1jb16nlpTjT0Iy2sS5QquUc1ICvU1ymdwsLc0H61IWL6hgbR9dcO+wwtfo9HJpFdojScdeE3p0/nhUhyPD8ay2Aqux5Skq0URYw21nkfLeCc26paeH8SOSrfre8CIkokP94pGptQ2NZox/V3RQmribjHRKnIufr/F3UNcQVYPaqRXCLZtKXp2kWmmov0GStK7fa8Piu2yempe2ShCMeaRm0OU6LryfEZVcTTQReJjD/XgLgBilat6vEXRUaIgp588snlCAczTwr31FqJFrIENrIIHXixlmDJs/baawfTTuTZu+22W5BGI5Mmg9NWkMrOI5vESQhazumhZpUD4XAT24wNEwhY/43VcPJAODbeAbXfLrvsEhwLnn766TBx9K677lqu4Jxo4blRu/MfalFPmpjSuUIBMdUpOrg4GiC3qxavySKn/SWdNuIzNNUTZMfbuciAuveiAXUfKuV1hcikGAHFPmFTRTjbRpGOjedeT2KKvqrPHB9JmufLJ60h4X57Hc/vld40y6DV9P8XSv3VQ/ONZkWEOU8Rxlo6x8Ks/98jQrHz+1yfeYzIJIlI3CyRFktBZ9/BGooUafK15W+OCHK6GW1GLgV2fd7U8a0hwl+xoMnTBspdLMKxY2mv94VwaIScPHnycoTDPQvhkHLLGuEUgnNjkztnzpwg86Y+TXptzJgxIYtTbPObV3RI60IJ0aBgKVeDVOwwEAsGIBUjGSMcEwtknXAI7xFJ8CeTWOPmOh6CAw88MLnhhhtCX8Cz06cnXy9cuHTnH1upmJprL+X9e2rHHUsumpoKurFUTk8q6nlRtZQrCoxDTa7dWAqukCQbGlB3nqKOwU30BCVKU72qczw/coiO59UsVlRxh3pMPtfvI7NuzrbIlHg7aoGfpx3/SyLga3Ws8xRJdRbxd4xSbnFD5ooi+xelAByh9xmqHqBu2jyAv+nnibJWLUK8M6J012qRCKC9yL2Trv3CqE5jTZ7HR+/1lQj/S6UcLVLqrP9+X+m47t27JyNHIktJliMcxhV8//vfD4X5rINnsH///sFTbfz48YFEObeTTjopbK5bq8TNElJJOuQ40eCXCyhK2FmAQsGAKdisfgPR5MF6AnEErgoUKOlwbkjtd9RRR4UXmDhxYnL99dcn4x57LFkQuXzH1vOPqbbQXpJhSzk1NNK6WAruG5GVv/W92MybwdEOfkKBs3RjpFNsQN1QRQG9taD/NTK4XEUF+A9FcK/KrPNSpYuSIpFRu0gunSg1xvk2Nw4vFBK01yIc17I+0t9/U4u3LUn271MUvXXWa5q+1+P1Mhn6XSJ6a8psr/OMmzLrokjv+WgTcZje52/6N7v27XRNFqq2ND56v3a6piO1YVlFKdALROZb6T2JgHr16pXcfz8tt8s3fmPMmRfCYX057rjjwjlNnDhxuaitrdV0sr+6liAYmDp1ariw1IYKFWqQDrsQq9/kgXA4Z9KTWHeQmihVXt6tW7ewCNz4xz8mKxT5HqyobFLcp6NUFum4JFqwi6FDEbKwvpc7RAxEJ1bo7i+hwPFKCZkFfrtmDHqzz7UZQCtHvztO6Z0lipAgnOaA9y38lky1NlaLb1OkM0/CiI/19/Wqeewokp4jJd9hIuWPlM57QbOM9m8gbWgy9GGq9fC7iRRjRmBLoj8ni3AgedA+ep91I6l2oj/nKxK6I3o/O/cROp/t9B2suNJKybPPPRd29fM32SS8N/WMxggH4UseCIfNLMPXEBKMGzcuVcq7WiGVK2y50loIBp555pkgtS42zI2UGiSEtJGbnVpS1oFSZsaMGcFRF0+qlpDooYcemsz97LNkypQpSZ8+fZI1O/27x90a/2LysJ6cT6OBY7vLYufZAoJpanZP+6iH5AYt3EdKCXaqRA191F9jqrFSRQJzVPC3GsPW0bFxdl8ptRQ7OzcXr0a1o5+r9jNAdRFrpkyiY5qnY5qn1GI7fQcHqX70igipp/77AkUtiyVZ7hm9X1PHbPMz49ZDO/+vlJr7sXqgQLvoe3tQ5PFt1a620D0wT+nW7hKgfKjv9xOdO98FvSxv/+MfQU582WWXhfrip59/njz2GHHTsnj77bdDsR1RQeFo+SyCjewvf/nL0HME4ZRTfZtlpDK91lo0x2GASICFmsYzbniaT21ODf+dJdhDW65ubb6bP/4RIXQS7D+uvvrq5KZBg4KLQA8N+OqkhehPUQPie9GMnbUUYdRHC2NjEcoK0YL4LUU+5+k9R2gBvFCL8yXayVstqHDKqDVivh/Jjc9UT9HdWoCf0H/fob6gTpHX3LParZcyKMMMNDvpofqdepamKf1UF0VbJvqdqmNExr5eA+4AP4zqMe8o4nlHdZrWDHZbpHM3dNf3HYtFTOW2iohpZfXxrKMo0QQg/9AmwT5jC30fm2y8cYhwCo06i4FaByIfCKecStVaEg6inSeeeCKk1GzGjyNJ6pa0dERnhcFEz5YcWiwY4AYu5jBgcmgQCwZIsxkBIdWmHgL50BvA+6RVWMA5QTYUX8mD45pbKay9+urJ0YsWhZ6OfVRMfzLaFdvUzBejqZ2mRrO+mYGKiJa9Mv/GLPUL3aKaSzF8qoioo0jqc73/NyNbnp1Fhq/p3zqqxjFTsmv+jJe2RVKSDdOCOi9SWe0SmYXGzZNdlWbaSEKA7ZUWeyhyTk5UExmiRf7DKMJor4K+7ekH69wRPTSE/6tal437TkRsz2mhL/adJmoq7SGFGuTyWJQK3Sb6riGXP4o4TdXWXbWwHXWO1iCayN9uZ33H4yMiQhn6l7/8pSRbl7///e9hg5gnwhk4cGAyYsSIQDp4OTpyGuk0JhgoZQYOuvp4HDTWFhCQzesxAiL0TwsBGcliqUHNqtIqGM57YRE7nUSL/tF6faHFkcjiqwLbmEuVjtlFO38UY+s1UvcpxOr67PUlZFgYzYYZHgkFEu3cbWfeSaRWDGZCuYMiCY5ti0jR9ZTqV9+JIrclqrF8oEX7FqUVC++MLaXSM2ImQrtf6aw4iVRKmqzwe5mjc1+s9GNDfT8Lo8+wRs0TRHQxUX0Q/fy66jOKo5/Rcjj4mb7rtaPrtpZIp/OGG4amx1JA8zcvGrQLN4hZJZzzzz8/eeCBB5xw8k465R5JwO/bsCd+B309BGSTCy0Fx+fVSnxANEiBknOBcKphFljXrt1SomnfSKqso3btNBomqkfcpYL1p9EOncX8HKXG9lGtpVSRwJLoOL4oWBxN9h1b6Ifj159NORUkWlAttfWuVGQvqXZDE6bhYKXT7HMbwze1YEM6xZJOTVkExcf9r2jsQJ3qNs8pbXeBvkuTiBumaxNwvsge0mlX0ORpM3QOELnbpmGWvuP/J8n58GgBmaXrufZaayWPPPpoaOpEEGBD0XixIYqfO0bLE+VAOKVO+00zWGN++9vfBtcBUmrUsRwZIh1uzlLTa/gcQQaE9LwKCaW1ljb8jhn40dg1d+7cQEA0rpGS44GCgPBfqtYcDLT9SKLZHRYj2UqhXRTpdGjCpQC0VwrKxjcXOhUgpwUzo5RcojTduqqDtGuEdBYrbfWqSOJLRVF3K+X1kZpSLTopZRR13Ldi0cRY/b9Fd+ZivV2kuCv8/YZQzHvNPPEeVSrPXBXMisZgx/++SLCDhAcmODCBxaNKqVnfj4lyv1JNq49k6fZd2qyfNaQ827ZI79VXOtdjpfqz62suDqR2rcnThqKRLSBlTb2G2o65MbOJQ7yTJ8K54oorkhtvvDGZMGFCWVs+8obUkk45BQPltLTh90mv8WInQ1oLAuKhIs0F8VgarlJzMahXYYDKeF4e7mqm+hYsWhR2yzaY62vVKRrqFzd5dVLgVGBuBW9p0bTOfvuZR7WLj4UI1A4slrM60WgtnkdKbDBVEdZ++vdpqtM8rLSb3fCnSVJMvaJwIlOhyebIKJLA4+xk1a1G6/23j8Zxfxi5CdSVEK0s0XtAkGB1FeavlYPBehEB7aTfXaACf0c1jQ4tIMqXi7hTf67v7JCInBZGBDZVJH+7/t2I/mulSev094cW/O6rqlnRcI1CK476IZnOnTuHF5s+6qQ8K2yWeB4hIAwyqZ1meWgZa8y1114bXo8//nhYixwZFBJY70wlBAOVjD54qHhBRhCTEVApCp5SZeB40uHWwMNcbRx++OHJ46NHJ1/M/49dZZ0W3l5amGI7mP21AJqfWTH0UoRyfyREeCnyBVuihdbGOrO4nxX1wZwuC5xjla6zjvoYSyJvuQlRxFInwjBi21jkRfpoc5HiSiKYE1SfgYPiePgAACJuSURBVBCSgomjD6j51Ai2c/SevH8ch05Vim0/EeYs1XeeiIr61oszQ79rYogVJEleU+dBuu4iEeoAfc8zdZyzJd2erSjyX3pfm/eznVSGdrzjlUbspuhw62h0tDWuttd301nRKth1112T0aNHN5lmNhsqIhzuXxuMBvHwrFgaLkuOy5zT4MGDk0suuSRY2pDmdmSUdMwloCnBAITTXMFAtRwBTAlHOg5StDpQS4r95rhNHjwN5ocok5BQjxszJvRd1EUL01aqz/RU8f3dKB1TDPtpIaXeE+/MxytNxsJrFNch2mXXRamiRPb9Tyit1BDGa3E+VL//nCILCGyJFuuuUS/QmhIhrK1z2iIatFaIz0V+/PzqqjMt1H/3FAHtps88TEKI90XMV4vkjHS+EgFDFPED2kGveyQcSFS/Gabff0XF/++o7sR3ksgaaETUp9QhMvzcQArEFSOVWxf991x9zgu6tnv36pVMmzo1mTN3bvhdmjyL9dwUu3/xF6PWQ0ot7sK3cQC8eFZsHEAWVKNDhw5NzjvvvOTRRx9NunY1sb0jV6RjggF2RhjltVYwUK2CP+TDQ0WKgYcq7gVq6hg5F3yoyI/TqZ22HPitt96anHgi02n+AxMZcGarSobL7rpY5ekALa70uRTDArka/0mL/8d67w5ayHtqd362SAWZdFOkc4hUbYslNCAlBVbW5y1SFAERWrfWvlrYGyKdRCR4czQR9VWRjMm6V1QEQeQBjlKacYEI79tKo43Ugr+mvsMeep+3RZCLFZX1UoT1lN7/ZzqGPyg9d5xqUiMiv7QfqKeKlOYSkaJJzddS31AHfcb2+tzVO3VKnn/hhaWbHTZAkM3xx5sFaMPgmURUQO0VS6bGNl1kOKwOxLPCM2wE1NypnJUE53T77bcnZ599dvLwww8ne+yBGN2RO9IpVTDAn2k17IwfKv5EcWYEFA95MthkU6I7CKdcabpygx3s73//++ShBx9M3n3vvWUcAYyAVldqrKfSN3YmB5UQDf1ec1jMeJO01LORdxqf0VE7eVJMDfV+T1RTa28tsDZVs06L8ZyoB2U7RWE9ZUhaCun8j2oskE4i+fUjUVSR6FiXiDCui8QWW+n9P1Kf0CDJq7+M3KLN1TkpiPzaq3fHRA3X6L0PjGpSR+vYfqGfma+eoo8KBBKW1N5B3/E311oreWHmzBb1f/Es4vjB/U6E05wo36ZyWhTE5o2aqQ1Fq9WkTc7p7rvvTk499dQwgA3TUkcOSAfyYMEtRTCQ1Rk4cXGVh4rjNgIikuMho+gKMTXHQ63WIBodNGhQMnz48OT1115b2iS6OFokV1J0sreioPeURmsItohCOlbgf1gLp3XyW3pvidJL5lTAYm53wxMaT3CAiveQwvFajE+U3c6/otrSqyKMLfSZG8kRobBOU4x0TBHWMbK6+Zcisc8iIrZIjcbPRN/RbSLmXVXM762C/eMiCBuW9s9IQbhjJDp4QNGO9UaNUV3qcpHO4oKokPPbVjUs6/vhM9Zdb72w6WmJOwfPrUXoRDitqdXwXlYD4v24x0i9WRRE9qBazzyecfip3XfffcG01JEz0kmjYKASsF2dERDnzrkR/UA4lVLCVRqcB2kIoqA333hjGQKK+3xWUv2nvoGRyTaq+jjVYB5VquoLiQo+1AL/bvR+ZkC5UURAnynSWU1E8CsR2VZa9FG1JUVqS8OV/rOivpFFT9VpVi4gnT1U21lH0crPFXVQP1kSuUQXNtm2F2EQdSVqUl0g1dwEFfA3UDqQyCXROT8aTfi0kQzzdVxjNU7hevUTHaO/m13gT2cbAvOAW3eDDUJKraU1SFoKkEYT4ZRbHEDkbxEQn0HUYwRERFapOi6RDcMQiXT2359qnCNXpIMaLO2CgUqAB4lBc9RueLh4kU4gAuLPrBIQxDpq1KhkyJAhyZTJk5P5zC6KIhVbML8XCRGsn3uQBpztqcV8DaWNdtNCSoNmosjlIb3isVhxhEXkUKeUHam9RKRzgpRwDeFQEUUXLfpztbCvJJPTvRU93Sei2FiRyXRJug8SoU5SNJGobrRABLhENZyfKlrZUZHOHB3z5opYjtTvH63PH6WIJ05lghU0rfMAfV/XKmLcQBEN9Yhzzz039JawsSF9S2Gc68NmgWevJelcnkeMPdlEEeFUOiXMGgDxGAmZHBsCIh1XrucFl4V+/fqFTdTBB9sd58gN6XDDmj1/Q4IBG7qWlXRaKUBOSg6c5jJcaS2tYFJsiJiCqqXhquFCUAlwXsyJP/qooxq05l+s3ph9lZZ6QAtqZy2+K4osroj6R2LMVQSA1xswguPP7oo+dhAhbVVkDHMh+kgAYBHGV5J5f1qgqrP3G6X/niTBwIEiq/9VrWiU6kbm4TZD/mn2XqvpMxYo9fWIvpfeSvsdEs2t2UaRS1/VqF5SOtDqNDtFlj58h78+//zkrLOIEcsLIxxUaEQ41a5B8vmk3oyAeF7KIcem/+aII44I46V/9jPkGo6WIrVFAm4eRhIw4rXcDgNphElKIZ3Y2p1zI+LhhY8T8lLIxyYrkn4zAspKf4OpmdiFjhk7NjhZjxk9Ovn4E5uY858JmW9GDsbttPhaJ34836UYOslY9NeKOrqpJ+Z/VdsxaTMRVXN3Xl9owSdCAWtq8V8UkeUjBW7QT4s8+ymNB+kYvlR9xWYWJUoFtpfgIfZ0s8mqNmPoan0ns/UdbanjI+qj1lFfX59MmjgxyJz59/+57LIw26YS15UeMhZ9IpxaFPp5XngmeNE4ba0LvLjnWiLHxkMNwqFOyagPR04jHQgFpVceBANNgXPhYf3kk09CiqPUSYLYjFgvEJFhFsYyxOcKucb1Ahuf8OADDwSlokUl8Q26hiKfnqp3bKUFmb6XhrCl6jqkvxJFK0Qfhg5RaurH+jkioUKt1s9EWgdFPS8/lQWNFednK532SaSq2yxK9f1S0dTH6n/5vqKUP4lsOJa1RVYvKGr5Qu9FfaiXCPMtvfcQpeL6q+m0f+S/FtvSABozKcLjHlCp60pTNBFOrZRljYH1BOGOiRHM3srScMXk2Hx/vXv3DvflgAEDcrHe1BqZIZ14Bk6WBQOFQKGGpQ3nxiLR0nRZFsYyUCfgXDlWCKexc2W3zOjsYcOGJbPfeGNp3SdWwHVUhNBPbtYN0ezWqmNYzWWaCGWe6jOvSjYc10TaRWqwehXiIZ1n9TML5AIAgf02kiGbaWbs8WaVxv30s6spKvqBalZv62cgnoMVNf1Ev4uM/N9VzX/Dzr1OM4CoaSVK+U2Xam+6XNbHjh1blTonzypiH1JZEE4WUr4cMylAi4Kom5K2hoQsy8LwtYMOOii59NJLkxNOOCEVz1AekFrS4bBYkIsJBvJCOKTKkEQTlRSrW7VmcTcpNju6NIxl4KHmXCnqNlf+zX1w2223JbfccksyE4IuooDroNqIjUqwQWmJ5sesr1TaTP1cZy3yNIomkZ/ZB9F7x+KGb0djDFZSdPNdNYIa6bwuVdgaqiftpfd4Ub/7tY5zZx0DEVoi8nxMvUDbKp22rxo+bRRDYcSXRM2h9RJZTNXP7LnnnqFhsVqLN6IX7uWsEE4hWFcgTMgHp43+/fsH0qH37JRTTgmkkxeRUhqQetLJq2CAXRZjCRALYBxaqfOKxzLwqsVYBhYklFDk2XHEbs1ncj4jR44MCqtnpkxJvl64cLkmVGv0NAVcvUhloSKIP2icwgMinQWKTpBiG+ImyfjveO9bpVZLItLZXY2nG0pN10efu6WOaXyUYmsf9cGsIgsa6zz7tghzFUVgBxxwQKhN3HHHHWEhZNOA8u9zjVZfoa4uWRA9wvvtt19yzz3milZZcC3o4SHN21TkmiUQIeIxSD0Z5wU2a8ijzzzzzHANHDkmHXbHeRMMAOoV5L9ZTKp5E/Od2lgGXtUYy0CajAhn/fXXrwi5TpkyJbn88suTCY8/vpybNYhv7n5q7EzUn3O/hAbmcdajvj7Md0E9GBNPsShjM5HaXPXwLBLBjJZC7YDIyWBMNEbAEL/37vrZvdTfYwRJLeEPf/hDUask0pSbbrppSKNCSDgcb7PNNlUlHI6BjSGEk1UZfyFIE+6zzz7JaaedlpxzzjmBUJmNw0aH/3fSyTHpUMBjYd57771DnjUP4S1ftc2CJ53GYl/LY7GxDLxQ+ZR7LAMpPnbC7Bg32WSTim8aUPPRhDpq5Mhk7qc2Ku7fWE11D6KP/5JdzL3yhaPoP+Smm8Lu1tKTd911V/CUe27GjGTB4sVFiSeu/3xP4oJ2KuQfKDHCq2rePOnkk8MmCpcGHDUQi7xEfWvJkmUiH8MxxxwTXnyHXAu7LpVsfCwVbATj2lxeCIdmVhwG8JO78MILc7PJTRtSSzp0/l500UUhX4yT7YEHHpj85Cc/CQ9eFm8GdoZmeohgIG2z4M1ipFxjGWwEA0PvGP9dbfA9ozhibPC777yzTPptbdVRIIMldXXJPU3YmWBsiX3905MnJ19+Hc8n/Q/Wi3za2ksQQIqMJNgVV14ZCtHF7gnuc8wiSYEG5d6DD4Y+kN/97ndFGx95XK1RuCHFVTUIB2JGaZkXwnnttdfCBrdv375h+metiT3PSC3pxJ5rLBw8jBT5UOVAQORYqYdkgYB4UNnxE03woKa9n6a1YxmI5ug5SsMIBiNU0k/cQ6SsWOhfmTUrENHosWOTXXZBfF0aqMMRTT3y8MPJmmutlSxetGipvLuY68GNUQRVjucBqbldG1I/1ijM5qDSNRXuY84fsuQ+zooXYFNgjWHTwb1x1VVXOeG0ZdIplppi4eA1derUMDCJQiuvjTbaKJUEZKotHtAseqjZWAZe7LgbG8tgDa7027AopS2ai8HC2VoVJITMtYVYmady3HHHhdz/TTfdlLz84ovJ4CFDKtZMGCuueFE74/u2Gl1L/NKaIhzOlc/NE+FQwyPCQYBx3XXXOeFUAZkhnRgcMh352KgQBT311FMhZWUEVGzsQa122DyopKqwtcn6DW1jGawXKB7LgGMCNRWIiTx/qQ2uWQXnT5ppq622ChueWoOox66NbQ7KNQiNVBr3Me8B4aRlpk1rweaoZ8+eyV577ZXccMMNmX8+s4JMkk4MDp8HbcSIEYGAsKxggYd8SMNVUo7cGHjwWZRQu6SFBCs5lsEUhiioKJTn+QHmnFE5Ua8ixZs2QBLxzCZIIu7Tas61McLhd9jY5YVwqDkS4ZBaxeQ0L+eVBWSedGJwKiz25OxJwY0bNy74lUFAdBazSFRjMSQKQwlTqyJ6NWEzfyAh0jsschBQLMXO0wNNwyCGlt/73vdqqj5s6cgMrpNZv/BnY2kyIts4NZyX68h3gSyaqI2m47ykCrOCXJFOsZw7ndkQ0JgxY5LOnTsvJSCK3OUmIBM+UHvi/Vlw8wxSOjR9ksoxRwUrdlsdKC9jGcDbb78dVE4swFm8trEDM9eGpt1YiBD7pUE4XFtSqNzLeSEcovN99903+da3vhUslrJ8P2YVuSadGMiAKfaSghs9enRYAC0FhyNuawmIHaXNEGEHlVbDzXLWq1iU+B6J6IqlD/M0lmH27NmhO51r25KxzWmEOZZDQmwUbBInKTjqc5AQBJuXVCnPJm0X1OCY+pml+y9PaDOkU/iw0XsBATGYiYcNCTYk1KVLl2bv6tgVxr0LaXTYLffDi3S2ufUqW+R4mdoq7WMZYkUe3mIIJvKaJoV8kH8TDfAMkBng2nCdsl6ThFR5xiFVBEh5f0bTjDZJOoUpIgY0QUDIXbkZ2Q2RguvatWuT+V56Wsh7s2iS5897ftiK6K1VbWVhLAOPBpY4HCOEk3dFHsRDLxzNwAgkTIxApGM1umr59ZU7y8HzzPUj3V7twXKOZdHmSafwocNn6f777w9iBED+lxt29913Xy4cZ/fEjh+1FjnirO8GmwID5nBVKLeFTxrHMli61CZgpjUSKxeovUE45nhuxGIjACwNx7WKhQhpr4mQ0mW0NOdDViPvG4cswEmnAZAqmzRpUiAg5NjszCEgakDdunULIfqoUaOCZQZppjwTDrcINQ0a6ZDN2lTTSiANYxliu356jvKeijHCIXXYmAt4XKODgPjv1tolVRJkIQ455JCwmaSOm9fUaNbgpFMCkJk+/fTTIQUH2fDQsTgySRDSKXf3d5rA7UFRmXNmAa7mg1uLsQxm9cL1zZOZZUNgMwXh2NiJ5pB6oV1SnCIloqjlRozzOuyww0I2AuVqmt0x2hqcdJq5IDFTA/dhGsumTZsWCq90NSNC4O/SUo8o1/lSv2FHywJcyxRTNcYy8J4QDoslEV3e63NGOKjxaKhuDUkQTcQNqUSHdn14/2oSEMdy5JFHhp4qevUqGZk7mg8nnWYAy3NqPkivaTplJ46IgBQcvUD0cWCpAQHRfJaWMdEtgSnyOMfWjNHOylgGFiok4CyWeepLaYxwZsyYESLGhiTvLYU5Y1saDpglT6Wbhblv+/XrF/rlJkyYkMl+qrzDSacZIM+Pw0CxG5mvkagA/T8pOArujA2GgDATrNWY6Jbm+G0BzkInuo1lIOpsSZ3BdvykDuMiel4BSXO+3MfYFlXyvrQI1dJw3Fu2QUCIUM7NDCnRY489NozUYHOYBceItggnnQrWQYiAICDICPUbIgQIKM0zgVD7QDhZNSm1OgMEZA2PjY1lQCxgC3C5d/xp/X6IcLgHq624NGdsi4CIVkm9WRquNelboitmFk2fPj158sknw6RaRzrhpFNh8PUyKdRmArGgYzJIBJS2mUAs0qQLN9xwwzBKOy3HVamxDCyAEA7XgL6jrJ9vUzCC5fxrZYTbWK+WXR9IiKiz1OMjBXzyyScHt3kiHJpaHemFk04NZgIZAT3zzDNhJpC5IdRyJhDFXwbNUatitHTeEI9l4E/qPvwdhEOKKWsRXXNhBEsEkEaCtetjQgSuTyxEaOj6QDhnnHFGMnbs2OAwn8d7N29w0qnxTCDIBxJCko2Fjs0E2myzzaq2MJhzMum0NFr1lxssaogkiHbY/bOgWQTUXOv/rBAOKTXqkVmIYGOpvI3NiIUIpirk7wcOHBgauYlw2DA50g8nnRSAS0ANwmYCkZOmZ8IIqJKpEEwsUfpk1Tm5uWARQxBCPYM0Ymz9zytvYxkQVhDhcK4symknnIacsY2AINBBgwYlu+22W2hWRkkK4fCMOLIBJ52UzgSCgGwmEOmQeCZQORYOPgebfqKttI+WLufgLpRNKNSwLipE3sYyGOFQ48jLIEHcKq6++urkjjvuCCTEvXv44YeH54PnpNzgnujRo0fYfNBkGgPyO+ecc4JQyOtIpcNJJ8WwRRAjUgiIvDV1HxvJ0NKZQLGvGA9tW/CjMt84vjMIpClkfSwDyjAIx5zA8wKuyxVXXJFcf/31yb333hscwNmgsTm76qqrkpNOOqnsn0n/HWa+l112WfKLX/wi/B22UPzd4MGDk6OOOqrsn5lnOOlkCCwkmBbaTCAWP0QIRECYUpZCQPQyIBhA2dUWxjAA0jCkEFvjG1dsLAPREqm4tJmBcnyoJCmqUxvMC1iqrrnmmuTKK68MJINLRvxscG9Xyn2ACaMQGs/OpptumnTv3j0IHNgMOpoHJ52Mgp13PBOIRRACIgLaaaeditYibLQ0/9YWbF5skis71XKmEIuNZTACqrUNEoRDhAPZsDjm6VqSzsLrkDQXqs9qg2eLzMNPf/rT5De/+U1I1XLNHc2Dk05OGv5sJpDNC7GZQPQEQS7MhUGgwJC6ttB1z21NOo06DlFgpcggTWMZWBCJcEin5Uk6zLW8+eabk1//+tchwueergW4xgh8qLnyrEFCjubDSSdnIJrBc8pmArHoQTT0MEBC7BbzUFBuDNzS1KxYHCCcarmA13IsA/U5olgUatRx8nQtb7/99uTss88OG6o99tijpsdz7rnnhhoS4gFHy+Ckk2OwCF577bWhlwHlFS8iIIQI+MLlsZ6DSCJ2xq7VjJdqjmUwwqEHpzXTXNMGlqa77747Oe2008IGinu21rjgggsC6eBG7mgZ8p1jaeNA9UZKguiG1AsPLsXPU089NeT8jznmmPAzFMnzAJuFw/nssMMONR0qBqmgkqPhlt25Gae+8sorIeqkV4jeLDYGrQE1JVJqrR0fnkaQwuJexUQ3DYTjKA880skxLr744iARRmBQuAvHgscMSalJ1NfXhxw1s4FqXQxvCVi8IRxuZ0QSae2pKedYBiIpztkaXfMENkg///nPQ6RDdJ4WeKTTejjptHFAQOyUbSYQ/SzMBIKAevXqlYmZQKbKY8HOwiiGcoxloHaElQ++cdjb5AmoMfv37x9qOSjF0gQnndbDScexXD3ECIjGO5sJtO+++6ZyJhCuAUiEaXClWS/LqrxSxzIY4eBOkTevPFSYRxxxRDJ06NCkT58+tT4cRwXgpONociYQBERPArUJmwlEvaLWBGTDyCBDFuAsE06pYxlwQkAKjnQ3bzNj8FCDaOjyZ9x0re8vR2XgpONoEtwiRD02koFUVteuXZfOBGLxq/YCYVb9LMTVHkZWK9t/mlyJgCAeIhzOnYbXPJz75MmTk969ewdftQEDBuTinBzF4aTjaBa4XbCVMQKaNm1acECwmUAYH1Z6wTCbFz4ri87JLQERD6lPIjpqVua6nIexDFOnTg09ZHibHX/88W3ierZlOOk4WgxunXfeeSeQDy+bCUQKDgLChqXcCwgSYYq4ebN5aQzUeMwdG3Ix5GEsA3N+2LBcdNFFYfqnE07+4aTjKOtMICTYEJDNBDICKse0SiugMzulrVjJG+EgkmjM5yuLYxnYPCBQ+dWvfhWmfzrhtA046TjKDm4pCIJeC9Jw48ePD0RhIxlaMhOIxZf0UluZbmoTXWkmLXUcQ5bGMnAt99lnn+T0008PjhlOOG0HTjqOqs0EgoCYCYQZpRFQKTJnBs2hpGtqt59HwinHRNe0jWXgvOgBO+GEE0LfixNO24KTjqOqYNGzmUCMZmDxs5lAeKUVEtBbb70VlHO4DLBbbwswkq3ECPFaj2VA7g3h9OvXL4wpcMJpe3DScdQMpH2wqoeAmHWPL5zNBMI7Dd84/NQYCcy/tQUgzGAMRTVIll4gpNiFYxl4rbbaamUnBGYb7b333smhhx4aBrFlUWnnaD2cdBypAI2epN4QIZCKozcFP7VLL700GJPmfeBcPFIbBWClJmA2dywDLwi/tQSEzB7CwUcN53MnnLYLJx1HqoDsl14N/K122223ZNKkSWHBs6F0/F0alVitBY2fpBEhnFpHdeUey0D0hpFsjx49gtuAE07bhpOOI1U49thjA9GMGzcuDCMj4uH/sbdHDUdKCBsehAjdunXLxUwg6lavv/56KginECwPzOsxAuJ6xL1ATUWgTG4lwsHBgumfWegdclQWTjqO1Bk+IhGmuF0I6jtPPfVU8IMjEmJEALJbCAhn7FoosVoL0k7UOhBRoCpLM5o7loGfQTTAud12221tIkXqaBpOOo5MghTQn//856UEhCKLFI7NBMIgM+148803k9mzZ4eR2jhKZw3FxjJQl2LTwPnQ+Ikv3rBhw3KZEnW0DE46jlwQEOafNpSOGkLhTKC0AbIhyoFwUIplHTaWASubCRMmhLQnVkWkRWnodTgMTjqO3BHQzJkzlxqSUivp3r370plA5VBitRak06jj5IVwYtAITA0HNRzjsyEgBs0xlO20006r9eE5UgAnHUduwa1N97vNBHr55ZeTH//4x0tnAlGPqCYBcTwQDikoCCeLY8EbA/UeFIacF7J3Jp9CQjQD8ycOBA6Hk46jTc0EMgLCbHLXXXddOhMI4UIlCYjPJ+oi9ZdHwqHR9+CDDw7qtFGjRmWipuaoDZx0HEuVYfTAMJCNRdnADhVL/aOPPjq55JJLkjyAW54iPik4akDMBOrSpcvSmUAbbrhhWQnICA97G5wW8rYgU8855JBDgpwaZ4m8pQwd5YWTjmMp6IbHfuWmm24Kc+oBZMM4genTp6fCnbjc4PYn3WUzgaZMmRIkvjaSAXPS1hAQ7//aa6+FfhUinLwRDl5uhx12WNicjBkzJvWyb0ft4aTjWAZYlOD8ywwXIgB2sBAO5pN5B48C5BDPBMLZ2ghoyy23bBYB8X4QOf0qEE7Hjh2TPIFG3SOPPDJ8Z/RXVdu6x5FNOOk4lgG3w5577hly87NmzQoS2HPPPTdpyzOBqAOhwqLnBPLh1dRMIH4f405kxKTUsti42hhIpfXt2zekKZmXVG43bEd+4aTjWA7Y6rOosst/9tln23wnuVnB2EwgdvWMyraZQNS8Yj8xfp7vENIiwskb4SCHxq4INSBkHI/QdjiagpOOYzmcddZZyfXXXx8WUqIdFljHsjOBUGjZTCAmmdpMILrxBwwYEIjolFNOCbLhvAlOkD7TjDtx4sQgPHE4mgMnHccyoJC+xx57hDEDF198cfg7zDdr3VCZVmD/wkwgakAQEc2pkPWgQYNCFJQng0vOjXQr/ndPPPFEUPk5HM2Fk45jmbHGqNfoKEdQQL6eFNvll1/ujX0lRAAo/RAf/OhHPwpRAMIBG0q38847ZzpNCeGcccYZIbXIuaHqczhaAicdx1KQDqLPAom0Ka2GDBmSnHnmmZ5mawQ8QhTVSTlRVCflhJSY/yYCQoxAxMNMIAgoazOBIJyBAweG8yDC2XzzzWt9SI4Mw0nHEcAOHY8yFhU69WPg2kzx2NNsDQOZNTNjihXVUXrx/ZojNv8PASFEwJYnzTOBIBzGht9zzz0hwtl6661rfUiOjMNJx+GoIiDveCYQNSFmAhEBQfppUrqxNFDXu+WWWwLhoGh0OFoLJx2Ho4Z1IGYCmR0PEmubCVRfX19T9wKWBWp5CCKQRVPbczjKAScdhyMlaawZM2YsHcmAT1uPHj0CASHsqOZMIJaEa665JrnyyitDShVbIIejXHDScThSSECIOYyAGIfAUDqbCYS/WaVqaywHRDeXXnpp6EFCiedwlBNOOg5HisHjSee/jWRgPlC3bt0CAZV7JhCfdfPNNwfhAL1Hu+yyS1ne1+GI4aTjcGQE5lhtBEQ0hPwaAkIN15qZQLz37bffnpx99tmhyXX33Xcv+/E7HMBJx+HIIHhsZ8+evVSEgBM4M4HMkHSDDTYomYB4r2HDhiWnn3566MXB8NXhqBScdByOHM4EwmjUDEk33njjRgnovvvuS0488cQQQSFacDgqCScdhyOnM4GIgiZNmhRMSG0m0BZbbLEMAdErdNxxxyXDhw8PNSKHo9Jw0nE4cgoe7Q8//DAQCwREv80222yzlIBef/31pH///smdd94ZHLIdjmrAScfhaAPgMf/444+XzgRitDTNqdRy+vTpU+vDc7QhOOk4HG0QuB/gp4Z7uPvpOaoJJx2Hw+FwVA3/mbHrcDgcDkeF4aTjcDgcjqrBScfhcDgcVYOTjsPhcDiqBicdh8PhcFQNTjoOh8PhqBqcdBwOh8NRNTjpOBwOh6NqcNJxOBwOR9XgpONwOByOqsFJx+FwOBxVg5OOw+FwOKoGJx2Hw+FwVA1OOg6Hw+GoGpx0HA6Hw1E1OOk4HA6Ho2pw0nE4HA5H1eCk43A4HI6qwUnH4XA4HFWDk47D4XA4qgYnHYfD4XBUDU46DofD4aganHQcDofDUTU46TgcDoejanDScTgcDkfV4KTjcDgcjqrBScfhcDgcVYOTjsPhcDiqBicdh8PhcFQNTjoOh8PhqBqcdBwOh8NRNTjpOBwOhyOpFv4/irsHxWdJ7XMAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(5, 5))\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "\n", + "ax.voxels(mask, facecolors='red', edgecolor='k')\n", + "\n", + "ax.set(title='Voxel mask of the scatterer', xlabel='X', ylabel='Y', zlabel='Z')\n", + "ax.set_xticklabels([]); ax.set_yticklabels([]); ax.set_zticklabels([])\n", + "ax.xaxis.labelpad = ax.yaxis.labelpad = ax.zaxis.labelpad=-10\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "ca4b1721", + "metadata": {}, + "source": [ + "### 1.2 Creating a 2D Scatterer\n", + "\n", + "For a **2D scatterer**, you only need to define the grid and specify your mask in the $X$ and $Y$ dimensions. To create a circle analogous to the sphere above, you can define the grid and mask as follows:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "e1faef53", + "metadata": {}, + "outputs": [], + "source": [ + "x = np.arange(-12, 12)\n", + "y = np.arange(-12, 12)\n", + "Y, X = np.meshgrid(y, x)\n", + "\n", + "radius = 11\n", + "mask_2d = (X**2 + Y**2) < radius**2" + ] + }, + { + "cell_type": "markdown", + "id": "f4684d62", + "metadata": {}, + "source": [ + "## 2. Creating a Custom Scatterer Class\n", + "\n", + "To create a reusable scatterer, you can subclass `dt.Scatterer`. This ensures that your scatterer integrates seamlessly with DeepTrack's pipeline and can be used directly with DeepTrack's optical models.\n", + "\n", + "When subclassing `dt.Scatterer`, the main task is to define the shape of your scatterer by implementing the `get()` method. This method should return a 3D array representing voxel occupancy. Optionally, you can override _process_properties to validate or reshape user-provided parameters, such as radius, length, or rotation." + ] + }, + { + "cell_type": "markdown", + "id": "5cd072f2", + "metadata": {}, + "source": [ + "### 2.1 Create a Cylinder Scatterer\n", + "\n", + "As a concrete example, you can create a cylinder scatterer. This cylinder is defined by its radii along the X and Z axes, its length along the Y axis, and a rotation vector specifying rotations around the X, Y, and Z axes. The class definition begins by specifying a conversion table for the parameters that you are going to use, and by initializing the scatterer with the desired parameters." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b4dd047d", + "metadata": {}, + "outputs": [], + "source": [ + "# Depending on your installed version of Deeptrack, you might have to exchange\n", + "# the next line for \"from deeptrack import units_registry as u\"\n", + "from deeptrack import units as u\n", + "from deeptrack.backend.units import ConversionTable\n", + "\n", + "class CustomCylinder(dt.Scatterer):\n", + " __conversion_table__ = ConversionTable(\n", + " radius=(u.meter, u.meter),\n", + " length=(u.meter, u.meter),\n", + " rotation=(u.radian, u.radian),\n", + " )\n", + "\n", + " def __init__(\n", + " self,\n", + " radius=1e-6,\n", + " length=2e-6,\n", + " rotation=(0, 0, 0),\n", + " **kwargs\n", + " ):\n", + " super().__init__(\n", + " radius=radius,\n", + " length=length,\n", + " rotation=rotation,\n", + " **kwargs\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "e2f0406a", + "metadata": {}, + "source": [ + "The `get()` method is where the scatterer’s voxel representation is generated. First, a 3D meshgrid is created to cover the space where the scatterer will exist. The size of the meshgrid should be chosen to fully contain the scatterer. In practice, we take the maximum of the radius (or radii, if anisotropic) and the half-length of the cylinder, divide them by the voxel size, and round up to ensure the grid extends far enough in each direction. This ensures that no part of the scatterer is cut off.\n", + "\n", + "Next, the grid coordinates are rotated according to the user-provided rotation angles. Here, the rotation angles are set as three angles in radians corresponding to rotations around the X, Y, and Z axes. These rotations are applied using a standard rotation matrix.\n", + "\n", + "Finally, the mask is defined. For a cylinder oriented along the Y axis, we select all voxels that satisfy two conditions: they lie within the cylinder radius in the X–Z plane, and they lie within the cylinder length along the Y axis. This boolean mask is returned as the voxel representation of the scatterer." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "f90bba7f", + "metadata": {}, + "outputs": [], + "source": [ + "def get(\n", + " self,\n", + " *ignore, # catches unused positional arguments\n", + " radius,\n", + " length,\n", + " rotation,\n", + " voxel_size,\n", + " **kwargs\n", + "):\n", + "\n", + " # Determine grid size\n", + " rad_ceil = np.ceil(np.max(radius) / np.min(voxel_size[:2]))\n", + " len_ceil = np.ceil(length * 0.5 / voxel_size[2])\n", + " ceil = int(max(rad_ceil, len_ceil))\n", + "\n", + " # Create grid\n", + " x = np.arange(-ceil, ceil) * voxel_size[0]\n", + " y = np.arange(-ceil, ceil) * voxel_size[1]\n", + " z = np.arange(-ceil, ceil) * voxel_size[2]\n", + " Y, X, Z = np.meshgrid(y, x, z)\n", + "\n", + " # Rotate the grid\n", + " cos = np.cos(rotation)\n", + " sin = np.sin(rotation)\n", + " XR = (\n", + " cos[0] * cos[1] * X\n", + " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", + " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", + " )\n", + " YR = (\n", + " sin[0] * cos[1] * X\n", + " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", + " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", + " )\n", + " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", + "\n", + " # Cylinder mask\n", + " mask = ((XR**2 / radius[0] ** 2 + ZR**2 / radius[1] ** 2) < 1) & (\n", + " np.abs(YR) < length / 2\n", + " )\n", + "\n", + " return mask.astype(float)" + ] + }, + { + "cell_type": "markdown", + "id": "56fd9d1c", + "metadata": {}, + "source": [ + "To ensure that the input parameters have the correct shape, you can add the `_process_properties` method. For the cylinder, the radius will be converted into a length-two array, the length is converted to a scalar and the rotation is padded or truncated to a length-three tuple:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "9b39e400", + "metadata": {}, + "outputs": [], + "source": [ + "def _process_properties(self, properties):\n", + " properties = super()._process_properties(properties)\n", + "\n", + " # Ensure radius is of length 2\n", + " radius = np.array(properties[\"radius\"])\n", + " if radius.ndim == 0:\n", + " radius = np.array((properties[\"radius\"], properties[\"radius\"]))\n", + " elif radius.size == 1:\n", + " radius = np.array((*radius,) * 2)\n", + " else:\n", + " radius = radius[:2]\n", + " properties[\"radius\"] = radius\n", + "\n", + " # Ensure length is scalar\n", + " properties[\"length\"] = float(properties[\"length\"])\n", + "\n", + " # Ensure rotation is 3 values\n", + " rotation = np.array(properties[\"rotation\"])\n", + " if rotation.ndim == 0:\n", + " rotation = [rotation, 0, 0]\n", + " elif rotation.size == 1:\n", + " rotation = [rotation[0], 0, 0]\n", + " elif rotation.size == 2:\n", + " rotation = [rotation[0], rotation[1], 0]\n", + " properties[\"rotation\"] = tuple(rotation)\n", + "\n", + " return properties" + ] + }, + { + "cell_type": "markdown", + "id": "e44fe0b7", + "metadata": {}, + "source": [ + "Putting all of these parts together you get the class for the cylinder scatterer:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "2c65c1d1", + "metadata": {}, + "outputs": [], + "source": [ + "class Cylinder(dt.Scatterer):\n", + " __conversion_table__ = ConversionTable(\n", + " radius=(u.meter, u.meter),\n", + " length=(u.meter, u.meter),\n", + " rotation=(u.radian, u.radian),\n", + " )\n", + "\n", + " def __init__(\n", + " self,\n", + " radius=1e-6,\n", + " length=2e-6,\n", + " rotation=(0, 0, 0),\n", + " **kwargs\n", + " ):\n", + " super().__init__(\n", + " radius=radius,\n", + " length=length,\n", + " rotation=rotation,\n", + " **kwargs\n", + " )\n", + "\n", + " def _process_properties(self, properties):\n", + " properties = super()._process_properties(properties)\n", + "\n", + " # Ensure radius is of length 2\n", + " radius = np.array(properties[\"radius\"])\n", + " if radius.ndim == 0:\n", + " radius = np.array((properties[\"radius\"], properties[\"radius\"]))\n", + " elif radius.size == 1:\n", + " radius = np.array((*radius,) * 2)\n", + " else:\n", + " radius = radius[:2]\n", + " properties[\"radius\"] = radius\n", + "\n", + " # Ensure length is scalar\n", + " properties[\"length\"] = float(properties[\"length\"])\n", + "\n", + " # Ensure rotation is 3 values\n", + " rotation = np.array(properties[\"rotation\"])\n", + " if rotation.ndim == 0:\n", + " rotation = [rotation, 0, 0]\n", + " elif rotation.size == 1:\n", + " rotation = [rotation[0], 0, 0]\n", + " elif rotation.size == 2:\n", + " rotation = [rotation[0], rotation[1], 0]\n", + " properties[\"rotation\"] = tuple(rotation)\n", + "\n", + " return properties\n", + "\n", + " def get(\n", + " self,\n", + " *ignore,\n", + " radius,\n", + " length,\n", + " rotation,\n", + " voxel_size,\n", + " **kwargs\n", + " ):\n", + "\n", + " # Determine grid size\n", + " rad_ceil = np.ceil(np.max(radius) / np.min(voxel_size[:2]))\n", + " len_ceil = np.ceil(length * 0.5 / voxel_size[2])\n", + " ceil = int(max(rad_ceil, len_ceil))\n", + "\n", + " # Create grid\n", + " x = np.arange(-ceil, ceil) * voxel_size[0]\n", + " y = np.arange(-ceil, ceil) * voxel_size[1]\n", + " z = np.arange(-ceil, ceil) * voxel_size[2]\n", + " Y, X, Z = np.meshgrid(y, x, z)\n", + "\n", + " # Rotate the grid\n", + " cos = np.cos(rotation)\n", + " sin = np.sin(rotation)\n", + " XR = (\n", + " cos[0] * cos[1] * X\n", + " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", + " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", + " )\n", + " YR = (\n", + " sin[0] * cos[1] * X\n", + " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", + " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", + " )\n", + " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", + "\n", + " # Cylinder mask\n", + " mask = ((XR**2 / radius[0] ** 2 + ZR**2 / radius[1] ** 2) < 1) & (\n", + " np.abs(YR) < length / 2\n", + " )\n", + "\n", + " return mask.astype(float)" + ] + }, + { + "cell_type": "markdown", + "id": "fc61afa0", + "metadata": {}, + "source": [ + "### 2.2 Using the Custom Cylinder Scatterer in a Pipeline\n", + "\n", + "You can now use your cylinder like any built-in DeepTrack scatterer. To create a simple pipeline, you can first define the cylinder with a chosen radius, length and position." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "13f1d12b", + "metadata": {}, + "outputs": [], + "source": [ + "radius = (7e-7, 3e-7)\n", + "length = 4e-6\n", + "position = (64, 64)\n", + "\n", + "cylinder = Cylinder(\n", + " radius=radius,\n", + " length=length,\n", + " position=position,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "038e2b73", + "metadata": {}, + "source": [ + "Next, define the optical setup, for example a fluorescence microscope, and apply it to your scatterer to create a pipeline." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "c43d4931", + "metadata": {}, + "outputs": [], + "source": [ + "optics = dt.Fluorescence()\n", + "\n", + "pip = optics(cylinder)" + ] + }, + { + "cell_type": "markdown", + "id": "a7d98251", + "metadata": {}, + "source": [ + "Resolving the pipeline produces an image of the scatterer." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "e10ede1f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip.update()\n", + "image1 = pip.resolve()\n", + "\n", + "plt.imshow(image1, cmap='gray');" + ] + }, + { + "cell_type": "markdown", + "id": "4c411743", + "metadata": {}, + "source": [ + "The orientation of the scatterer can also be varied through the `rotation` parameter. By changing the angles, you can explore how the same object appears when viewed at different orientations:" + ] + }, + { + "cell_type": "markdown", + "id": "5d0f77c0", + "metadata": {}, + "source": [ + "Rotate around z-axis:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "6081e2b0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(2, 5, figsize=(8, 3.3))\n", + "\n", + "for i in range(10):\n", + "\n", + " cylinder = Cylinder(\n", + " radius=radius,\n", + " length=length,\n", + " rotation=(i * np.pi / 10, 0, 0), # rotation around Z-axis\n", + " position=position\n", + " )\n", + "\n", + " pip = optics(cylinder)\n", + "\n", + " pip.update()\n", + " image = pip.resolve()\n", + "\n", + " ax[int(i*0.4 // 2), i%5].imshow(image, cmap='gray')\n", + " ax[int(i*0.4 // 2), i%5].axis('off') # remove axes for a cleaner look\n", + "\n", + "plt.subplots_adjust(wspace=0, hspace=0) \n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "b4036fdc", + "metadata": {}, + "source": [ + "Rotate around x-axis:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "1537074e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(2, 5, figsize=(8, 3.3))\n", + "\n", + "for i in range(10):\n", + "\n", + " cylinder = Cylinder(\n", + " radius=radius,\n", + " length=length,\n", + " rotation=(0, i * np.pi / 10, 0), # rotation around X-axis\n", + " position=position,\n", + " )\n", + "\n", + " pip = optics(cylinder)\n", + "\n", + " pip.update()\n", + " image = pip.resolve()\n", + "\n", + " ax[int(i*0.4 // 2), i%5].imshow(image, cmap='gray')\n", + " ax[int(i*0.4 // 2), i%5].axis('off')\n", + "\n", + "plt.subplots_adjust(wspace=0, hspace=0) \n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "0ac1621f", + "metadata": {}, + "source": [ + "Rotate around y-axis:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "9fc422a7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(2, 5, figsize=(8, 3.3))\n", + "\n", + "for i in range(10):\n", + "\n", + " cylinder = Cylinder(\n", + " radius=radius,\n", + " length=length,\n", + " rotation=(0, 0, i * np.pi / 10), # rotation around Y-axis\n", + " position=position\n", + " )\n", + "\n", + " pip = optics(cylinder)\n", + "\n", + " pip.update()\n", + " image = pip.resolve()\n", + "\n", + " ax[int(i*0.4 // 2), i%5].imshow(image, cmap='gray')\n", + " ax[int(i*0.4 // 2), i%5].axis('off')\n", + "\n", + "plt.subplots_adjust(wspace=0, hspace=0) \n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "f5a734b2", + "metadata": {}, + "source": [ + "### 2.3 Adapting the Scatterer\n", + "\n", + "You can also create other shapes for your scatterer by modifying the mask function. For example, a wavy cylinder can be generated by adding a sinusoidal modulation to the radius along the cylinder’s axis. When doing this, make sure to slightly increase the maximum size of the meshgrid so that the entire scatterer, including the waves, is fully contained." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "a82d2191", + "metadata": {}, + "outputs": [], + "source": [ + "class WavyCylinder(dt.Scatterer):\n", + " __conversion_table__ = ConversionTable(\n", + " radius=(u.meter, u.meter),\n", + " length=(u.meter, u.meter),\n", + " rotation=(u.radian, u.radian),\n", + " )\n", + "\n", + " def __init__(\n", + " self,\n", + " radius=1e-6,\n", + " length=2e-6,\n", + " rotation=(0, 0, 0),\n", + " amplitude=0.5,\n", + " frequency=3,\n", + " **kwargs\n", + " ):\n", + " super().__init__(\n", + " radius=radius,\n", + " length=length,\n", + " rotation=rotation,\n", + " amplitude=amplitude,\n", + " frequency=frequency,\n", + " **kwargs\n", + " )\n", + "\n", + " def _process_properties(self, properties: dict) -> dict:\n", + " properties = super()._process_properties(properties)\n", + "\n", + " # Ensure radius is of length 2\n", + " radius = np.array(properties[\"radius\"])\n", + " if radius.ndim == 0:\n", + " radius = np.array((properties[\"radius\"], properties[\"radius\"]))\n", + " elif radius.size == 1:\n", + " radius = np.array((*radius,) * 2)\n", + " else:\n", + " radius = radius[:2]\n", + " properties[\"radius\"] = radius\n", + "\n", + " # Ensure length is scalar\n", + " properties[\"length\"] = float(properties[\"length\"])\n", + "\n", + " # Ensure rotation is 3 values\n", + " rotation = np.array(properties[\"rotation\"])\n", + " if rotation.ndim == 0:\n", + " rotation = [rotation, 0, 0]\n", + " elif rotation.size == 1:\n", + " rotation = [rotation[0], 0, 0]\n", + " elif rotation.size == 2:\n", + " rotation = [rotation[0], rotation[1], 0]\n", + " properties[\"rotation\"] = tuple(rotation)\n", + "\n", + " return properties\n", + "\n", + " def get(\n", + " self,\n", + " *ignore,\n", + " radius,\n", + " length,\n", + " rotation,\n", + " amplitude,\n", + " frequency,\n", + " voxel_size,\n", + " **kwargs\n", + " ):\n", + " # Grid size\n", + " rad_ceil = np.ceil((np.max(radius) ) / np.min(voxel_size[:2])) * (1 + amplitude)\n", + " len_ceil = np.ceil(length * 0.5 / voxel_size[2])\n", + " ceil = int(max(rad_ceil, len_ceil))\n", + "\n", + " # Grid\n", + " x = np.arange(-ceil, ceil) * voxel_size[0]\n", + " y = np.arange(-ceil, ceil) * voxel_size[1]\n", + " z = np.arange(-ceil, ceil) * voxel_size[2]\n", + " Y, X, Z = np.meshgrid(y, x, z)\n", + "\n", + " # Rotate grid if needed (same as ellipsoid)\n", + " cos = np.cos(rotation)\n", + " sin = np.sin(rotation)\n", + " XR = (\n", + " cos[0] * cos[1] * X\n", + " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", + " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", + " )\n", + " YR = (\n", + " sin[0] * cos[1] * X\n", + " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", + " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", + " )\n", + " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", + "\n", + " # Wavy cylinder mask\n", + " radius_wave = radius[0] + amplitude * radius[0] * np.sin(\n", + " frequency * YR * 2 * np.pi / length\n", + " )\n", + " mask = (\n", + " (XR**2 / radius_wave**2 + ZR**2 / radius[1] ** 2) < 1\n", + " ) & (np.abs(YR) < (length / 2))\n", + "\n", + " return mask.astype(float)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "5578bc3b", + "metadata": {}, + "outputs": [], + "source": [ + "wavy_cylinder = WavyCylinder(\n", + " radius=radius,\n", + " length=5e-6,\n", + " position=position,\n", + ")\n", + "\n", + "pip_wavy_cylinder = optics(wavy_cylinder)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "d37f3224", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip_wavy_cylinder.update()\n", + "\n", + "image = pip_wavy_cylinder.resolve()\n", + "\n", + "plt.imshow(image, cmap='gray');" + ] + }, + { + "cell_type": "markdown", + "id": "8eed90ca", + "metadata": {}, + "source": [ + "## 3. Biological scatterers: Bacteria\n", + "\n", + "In addition to simple geometric scatterers, DeepTrack also makes it possible to describe biological structures with more complex shapes. The examples below show how common bacterial morphologies can be represented as scatterers. These implementations are not intended as exact models of bacterial structure, but rather as demonstrations of how such scatterers can be created and adapted. You can use them directly, or take them as inspiration to design custom scatterers that fit your own application." + ] + }, + { + "cell_type": "markdown", + "id": "13fc21db", + "metadata": {}, + "source": [ + "### 3.1 Bacillus\n", + "\n", + "Rod-shaped bacteria (bacilli) can be represented by combining a cylinder with hemispherical caps. The example `Bacillus` class below also includes the option to add bending along the length of the rod, which can make the shape look more natural." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "dae956e8", + "metadata": {}, + "outputs": [], + "source": [ + "class Bacillus(dt.Scatterer):\n", + " __conversion_table__ = ConversionTable(\n", + " radius=(u.meter, u.meter),\n", + " length=(u.meter, u.meter),\n", + " rotation=(u.radian, u.radian),\n", + " )\n", + "\n", + " def __init__(\n", + " self,\n", + " radius=0.5e-6,\n", + " length=2e-6,\n", + " rotation=(0, 0, 0),\n", + " max_bacillus_bend=0,\n", + " **kwargs\n", + " ):\n", + " super().__init__(\n", + " radius=radius,\n", + " length=length,\n", + " rotation=rotation,\n", + " max_bacillus_bend=max_bacillus_bend,\n", + " **kwargs\n", + " )\n", + "\n", + " def _process_properties(self, properties):\n", + " properties = super()._process_properties(properties)\n", + "\n", + " # Ensure radius iis scalar\n", + " radius = np.array(properties[\"radius\"])\n", + " if radius.size > 1:\n", + " radius = radius[0]\n", + " properties[\"radius\"] = float(radius)\n", + "\n", + " # Ensure length is scalar\n", + " properties[\"length\"] = float(properties[\"length\"])\n", + "\n", + " # Ensure rotation is 3 values\n", + " rotation = np.array(properties[\"rotation\"])\n", + " if rotation.ndim == 0:\n", + " rotation = [rotation, 0, 0]\n", + " elif rotation.size == 1:\n", + " rotation = [rotation[0], 0, 0]\n", + " elif rotation.size == 2:\n", + " rotation = [rotation[0], rotation[1], 0]\n", + " properties[\"rotation\"] = tuple(rotation)\n", + "\n", + " return properties\n", + "\n", + " def get(\n", + " self,\n", + " *ignore,\n", + " radius,\n", + " length,\n", + " rotation,\n", + " max_bacillus_bend,\n", + " voxel_size,\n", + " **kwargs\n", + " ):\n", + "\n", + " # Determine grid size\n", + " rad_ceil = np.ceil(radius / np.min(voxel_size[:2]))\n", + " len_ceil = np.ceil(length * 0.5 / voxel_size[2]) + rad_ceil\n", + " ceil = int(max(rad_ceil, len_ceil))\n", + "\n", + " # Create the grid\n", + " x = np.arange(-ceil, ceil) * voxel_size[0]\n", + " y = np.arange(-ceil, ceil) * voxel_size[1]\n", + " z = np.arange(-ceil, ceil) * voxel_size[2]\n", + " Y, X, Z = np.meshgrid(y, x, z)\n", + "\n", + " # Rotate the grid\n", + " cos = np.cos(rotation)\n", + " sin = np.sin(rotation)\n", + " XR = (\n", + " cos[0] * cos[1] * X\n", + " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", + " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", + " )\n", + " YR = (\n", + " sin[0] * cos[1] * X\n", + " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", + " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", + " )\n", + " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", + "\n", + " # Apply wave-like bending along the lenght of the bacillus\n", + " bend_amp_x = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", + " bend_amp_z = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", + " lateral_offset_x = bend_amp_x * np.cos(np.pi * YR / length)\n", + " lateral_offset_z = bend_amp_z * np.cos(np.pi * YR / length)\n", + " XR -= lateral_offset_x\n", + " ZR -= lateral_offset_z\n", + " \n", + " # Cylinder mask\n", + " cyl_mask = ((XR**2 / radius ** 2 + ZR**2 / radius ** 2) < 1) & (\n", + " np.abs(YR) < (length / 2)\n", + " )\n", + " # Hemispherical caps\n", + " cap_mask = ((XR**2 + ZR**2 + (np.abs(YR) - (length/2))**2) < radius**2)\n", + "\n", + " # Combine the cylinder with the end-caps to form the full bacillus shape\n", + " mask = cyl_mask | cap_mask\n", + "\n", + " return mask.astype(float)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "a1696c4c", + "metadata": {}, + "outputs": [], + "source": [ + "bacillus = Bacillus(\n", + " position=(64, 64),\n", + ")\n", + "\n", + "optics = dt.Fluorescence()\n", + "\n", + "pip = optics(bacillus)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "408f26a0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + }, + { + "cell_type": "markdown", + "id": "cac8caab", + "metadata": {}, + "source": [ + "Once defined, bacilli can be placed at specific positions, given random orientations, and varied in size. Several instances can be combined into the same simulation, with tools such as `NonOverlapping` to avoid unrealistic overlaps, or transformations to introduce further variability." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "3004eeae", + "metadata": {}, + "outputs": [], + "source": [ + "bacillus = Bacillus(\n", + " position=lambda: np.random.uniform(0, 128, 2),\n", + " rotation=lambda: np.random.uniform(0, 2*np.pi),\n", + " length=lambda: np.random.uniform(1.6e-6, 2.6e-6),\n", + " max_bacillus_bend=1e-7,\n", + ")\n", + "\n", + "multiple_bacilli = (bacillus ^ (lambda: np.random.randint(5, 10)))\n", + "\n", + "non_overlap_bac = dt.NonOverlapping(multiple_bacilli, min_distance=3)\n", + "\n", + "pip = optics(non_overlap_bac)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "e88acce8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + }, + { + "cell_type": "markdown", + "id": "2339005e", + "metadata": {}, + "source": [ + "### 3.2 Streptobacillus\n", + "Streptobacilli are bacteria that form chains of bacilli. This can be modeled by arranging multiple bacilli end-to-end. The class below allows both the individual rods and the entire chain to bend slightly, which can give rise to realistic chain-like structures." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "1d1dd13a", + "metadata": {}, + "outputs": [], + "source": [ + "class Streptobacillus(dt.Scatterer):\n", + " __conversion_table__ = ConversionTable(\n", + " radius=(u.meter, u.meter),\n", + " length=(u.meter, u.meter),\n", + " rotation=(u.radian, u.radian),\n", + " )\n", + "\n", + " def __init__(\n", + " self,\n", + " radius=0.5e-6,\n", + " length=2e-6,\n", + " n_bacilli=5,\n", + " rotation=(0, 0, 0),\n", + " max_chain_bend=0,\n", + " max_bacillus_bend=0,\n", + " **kwargs\n", + " ):\n", + " super().__init__(\n", + " radius=radius,\n", + " length=length, # length of each part of the chain\n", + " n_bacilli=n_bacilli,\n", + " rotation=rotation,\n", + " max_chain_bend=max_chain_bend,\n", + " max_bacillus_bend=max_bacillus_bend,\n", + " **kwargs\n", + " )\n", + "\n", + " def _process_properties(self, properties):\n", + " properties = super()._process_properties(properties)\n", + "\n", + " # Ensure radius iis scalar\n", + " radius = np.array(properties[\"radius\"])\n", + " if radius.size > 1:\n", + " radius = radius[0]\n", + " properties[\"radius\"] = float(radius)\n", + "\n", + " # # Ensure length is scalar\n", + " # properties[\"length\"] = float(properties[\"length\"])\n", + "\n", + " # Ensure length is float or iterable of floats\n", + " length = properties[\"length\"]\n", + " if np.ndim(length) == 0:\n", + " properties[\"length\"] = float(length)\n", + " else:\n", + " properties[\"length\"] = np.array(length, dtype=float)\n", + "\n", + " # Ensure n_bacilli is int\n", + " properties[\"n_bacilli\"] = int(properties.get(\"n_bacilli\"))\n", + "\n", + " # Ensure rotation is 3 values\n", + " rotation = np.array(properties[\"rotation\"])\n", + " if rotation.ndim == 0:\n", + " rotation = [rotation, 0, 0]\n", + " elif rotation.size == 1:\n", + " rotation = [rotation[0], 0, 0]\n", + " elif rotation.size == 2:\n", + " rotation = [rotation[0], rotation[1], 0]\n", + " properties[\"rotation\"] = tuple(rotation)\n", + "\n", + " return properties\n", + "\n", + " def get(\n", + " self,\n", + " *ignore,\n", + " radius,\n", + " length,\n", + " n_bacilli,\n", + " rotation,\n", + " max_chain_bend,\n", + " max_bacillus_bend,\n", + " voxel_size,\n", + " **kwargs\n", + " ):\n", + " # Determine grid size\n", + " rad_ceil = np.ceil(radius / np.min(voxel_size[:2]))\n", + " len_ceil = np.ceil(length * 0.5 * n_bacilli / voxel_size[2]) + rad_ceil * n_bacilli\n", + " ceil = int(max(rad_ceil, len_ceil))\n", + "\n", + " # Create grid\n", + " x = np.arange(-ceil, ceil) * voxel_size[0]\n", + " y = np.arange(-ceil, ceil) * voxel_size[1]\n", + " z = np.arange(-ceil, ceil) * voxel_size[2]\n", + " Y, X, Z = np.meshgrid(y, x, z)\n", + "\n", + " # Rotate the grid\n", + " cos = np.cos(rotation)\n", + " sin = np.sin(rotation)\n", + " XR = (\n", + " cos[0] * cos[1] * X\n", + " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", + " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", + " )\n", + " YR = (\n", + " sin[0] * cos[1] * X\n", + " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", + " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", + " )\n", + " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", + "\n", + " shift = length + 2 * radius\n", + " total_length = n_bacilli * (length + 2 * radius)\n", + "\n", + " mask = np.zeros_like(XR, dtype=bool)\n", + "\n", + " for i in range(n_bacilli):\n", + " # Chain-level bending offsets\n", + " bend_chain_x = (np.random.rand() - 0.5) * 2 * max_chain_bend\n", + " bend_chain_z = (np.random.rand() - 0.5) * 2 * max_chain_bend\n", + "\n", + " # Shift chain along Y and apply chain bending\n", + " YR_shifted = YR - i*shift + total_length/2 - shift/2\n", + " XR_shifted = XR - bend_chain_x\n", + " ZR_shifted = ZR - bend_chain_z\n", + "\n", + " # Bacillus-level bending: wave-like bending along the lenght of the bacillus\n", + " bend_amp_x = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", + " bend_amp_z = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", + " lateral_offset_x = bend_amp_x * np.cos(np.pi * YR_shifted / length)\n", + " lateral_offset_z = bend_amp_z * np.cos(np.pi * YR_shifted / length)\n", + " XR_shifted -= lateral_offset_x\n", + " ZR_shifted -= lateral_offset_z\n", + "\n", + " # Cylinder mask\n", + " cyl_mask = ((XR_shifted**2 / radius**2 + ZR_shifted**2 / radius**2) < 1) & (np.abs(YR_shifted) < length/2)\n", + " \n", + " # Hemispherical caps\n", + " cap_mask = ((XR_shifted**2 + ZR_shifted**2 + (np.abs(YR_shifted) - length/2)**2) < radius**2)\n", + "\n", + " # Combine the cylinder with the end-caps to form the full bacillus shape\n", + " mask |= (cyl_mask | cap_mask)\n", + "\n", + " return mask.astype(float)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "015a12a6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "strepto = Streptobacillus(\n", + " position=(128, 128)\n", + ")\n", + "\n", + "optics = dt.Fluorescence(\n", + " output_region=(0, 0, 256, 256)\n", + ")\n", + "\n", + "pip = optics(strepto)\n", + "\n", + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + }, + { + "cell_type": "markdown", + "id": "29702ffb", + "metadata": {}, + "source": [ + "By adjusting the number of bacilli, their length, and the bending parameters, it is possible to create different chain morphologies. This is one way to mimic the diversity that may appear in experiments." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "43ed1a82", + "metadata": {}, + "outputs": [], + "source": [ + "strepto = Streptobacillus(\n", + " position=lambda: np.random.uniform(50, 206, 2),\n", + " n_bacilli=lambda: np.random.randint(3, 6),\n", + " max_chain_bend=0.15e-6,\n", + " max_bacillus_bend=0.15e-6,\n", + " rotation=lambda: np.random.uniform(0, 2*np.pi),\n", + ")\n", + "\n", + "optics = dt.Fluorescence(\n", + " output_region=(0, 0, 256, 256)\n", + ")\n", + "\n", + "pip = optics(strepto ^ 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "6c2712ef", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + }, + { + "cell_type": "markdown", + "id": "81954cf7", + "metadata": {}, + "source": [ + "### 3.3 Streptococcus:\n", + "Streptococci are spherical bacteria that typically grow in chains. A simple way to describe them is as a series of spheres arranged along an axis. The example `Streptococcus` class implements this approach, and also allows the chain to bend smoothly to better resemble natural growth patterns." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "6cd544ec", + "metadata": {}, + "outputs": [], + "source": [ + "class Streptococcus(dt.Scatterer):\n", + " __conversion_table__ = ConversionTable(\n", + " radius=(u.meter, u.meter),\n", + " length=(u.meter, u.meter),\n", + " rotation=(u.radian, u.radian),\n", + " )\n", + "\n", + " def __init__(\n", + " self,\n", + " radius=0.5e-6,\n", + " n_coccus=5,\n", + " rotation=(0, 0, 0),\n", + " max_chain_bend=0,\n", + " **kwargs\n", + " ):\n", + " super().__init__(\n", + " radius=radius,\n", + " n_coccus=n_coccus,\n", + " rotation=rotation,\n", + " max_chain_bend=max_chain_bend,\n", + " **kwargs\n", + " )\n", + "\n", + " def _process_properties(self, properties):\n", + " properties = super()._process_properties(properties)\n", + "\n", + " # Ensure radius iis scalar\n", + " radius = np.array(properties[\"radius\"])\n", + " if radius.size > 1:\n", + " radius = radius[0]\n", + " properties[\"radius\"] = float(radius)\n", + "\n", + " # Ensure n_bacilli is int\n", + " properties[\"n_coccus\"] = int(properties.get(\"n_coccus\"))\n", + "\n", + " # Ensure rotation is 3 values\n", + " rotation = np.array(properties[\"rotation\"])\n", + " if rotation.ndim == 0:\n", + " rotation = [rotation, 0, 0]\n", + " elif rotation.size == 1:\n", + " rotation = [rotation[0], 0, 0]\n", + " elif rotation.size == 2:\n", + " rotation = [rotation[0], rotation[1], 0]\n", + " properties[\"rotation\"] = tuple(rotation)\n", + "\n", + " return properties\n", + "\n", + " def get(\n", + " self,\n", + " *ignore,\n", + " radius,\n", + " n_coccus,\n", + " rotation,\n", + " max_chain_bend,\n", + " voxel_size,\n", + " **kwargs\n", + " ):\n", + " # Determine grid size\n", + " rad_ceil = np.ceil(radius / np.min(voxel_size[:2]))\n", + " len_ceil = rad_ceil * n_coccus\n", + " ceil = len_ceil\n", + "\n", + " # Create grid\n", + " x = np.arange(-ceil, ceil) * voxel_size[0]\n", + " y = np.arange(-ceil, ceil) * voxel_size[1]\n", + " z = np.arange(-ceil, ceil) * voxel_size[2]\n", + " Y, X, Z = np.meshgrid(y, x, z)\n", + "\n", + " # Rotate the grid\n", + " cos = np.cos(rotation)\n", + " sin = np.sin(rotation)\n", + " XR = (\n", + " cos[0] * cos[1] * X\n", + " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", + " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", + " )\n", + " YR = (\n", + " sin[0] * cos[1] * X\n", + " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", + " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", + " )\n", + " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", + "\n", + " shift = 2 * radius\n", + " total_length = n_coccus * 2 * radius\n", + "\n", + " mask = np.zeros_like(XR, dtype=bool)\n", + "\n", + " # Generate smooth random offsets along the chain\n", + " bend_x_offsets = (np.random.rand(n_coccus) - 0.5) * 2 * max_chain_bend\n", + " bend_z_offsets = (np.random.rand(n_coccus) - 0.5) * 2 * max_chain_bend\n", + " \n", + " # Smooth offsets for more natural curve\n", + " for i in range(1, n_coccus):\n", + " bend_x_offsets[i] = 0.7 * bend_x_offsets[i-1] + 0.3 * bend_x_offsets[i]\n", + " bend_z_offsets[i] = 0.7 * bend_z_offsets[i-1] + 0.3 * bend_z_offsets[i]\n", + " \n", + " shift = 2 * radius\n", + " total_length = n_coccus * shift\n", + " \n", + " for i in range(n_coccus):\n", + " # Shift along Y and add realistic random bend\n", + " YR_shifted = YR - i*shift + total_length/2 - shift/2\n", + " XR_shifted = XR - bend_x_offsets[i]\n", + " ZR_shifted = ZR - bend_z_offsets[i]\n", + " \n", + " coccus_mask = (XR_shifted**2 + YR_shifted**2 + ZR_shifted**2) < radius**2\n", + " mask |= coccus_mask\n", + "\n", + " return mask.astype(float)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "8237d583", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "strepto = Streptococcus(\n", + " position=(128, 128)\n", + ")\n", + "\n", + "optics = dt.Fluorescence(\n", + " output_region=(0, 0, 256, 256)\n", + ")\n", + "\n", + "pip = optics(strepto)\n", + "\n", + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + }, + { + "cell_type": "markdown", + "id": "e33c5716", + "metadata": {}, + "source": [ + "Parameters such as the number of spheres, their radius, and the amount of bending can be adjusted. As with the other examples, several chains can be placed in the same image to simulate more complex bacterial populations." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "ccf5786c", + "metadata": {}, + "outputs": [], + "source": [ + "strepto = Streptococcus(\n", + " position=lambda: np.random.uniform(50, 206, 2),\n", + " n_coccus=lambda: np.random.randint(5, 12),\n", + " max_chain_bend=1.5e-6,\n", + " rotation=lambda: np.random.uniform(0, 2*np.pi),\n", + ")\n", + "\n", + "optics = dt.Fluorescence(\n", + " output_region=(0, 0, 256, 256)\n", + ")\n", + "\n", + "pip = optics(strepto ^ 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "8edbfff0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From eb69dea1e7701de7c85fd855efdae918726408c0 Mon Sep 17 00:00:00 2001 From: mirjagranfors Date: Fri, 5 Sep 2025 13:37:31 +0200 Subject: [PATCH 2/5] Add refractive index --- .../DTGS171_custom_scatterers.ipynb | 36 +++++++++++-------- 1 file changed, 21 insertions(+), 15 deletions(-) diff --git a/tutorials/1-getting-started/DTGS171_custom_scatterers.ipynb b/tutorials/1-getting-started/DTGS171_custom_scatterers.ipynb index 0b5f6c179..0a19026ed 100644 --- a/tutorials/1-getting-started/DTGS171_custom_scatterers.ipynb +++ b/tutorials/1-getting-started/DTGS171_custom_scatterers.ipynb @@ -170,7 +170,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "b4dd047d", "metadata": {}, "outputs": [], @@ -854,6 +854,7 @@ " length=2e-6,\n", " rotation=(0, 0, 0),\n", " max_bacillus_bend=0,\n", + " refractive_index=1.38,\n", " **kwargs\n", " ):\n", " super().__init__(\n", @@ -861,6 +862,7 @@ " length=length,\n", " rotation=rotation,\n", " max_bacillus_bend=max_bacillus_bend,\n", + " refractive_index=refractive_index,\n", " **kwargs\n", " )\n", "\n", @@ -970,7 +972,7 @@ "outputs": [ { "data": { - "image/png": "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", + "image/png": "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", "text/plain": [ "
" ] @@ -1016,13 +1018,13 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 23, "id": "e88acce8", "metadata": {}, "outputs": [ { "data": { - "image/png": "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", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAakAAAGhCAYAAADbf0s2AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjEsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvc2/+5QAAAAlwSFlzAAAPYQAAD2EBqD+naQAAeIBJREFUeJztfQvQJVV19fl0YAaYBwJhBmR4JJICRMEAIo9KokwFlUJRosEiEZGCBEGFSQQxAuKPjpqUGhQhUga1BFErgkpFLDIYiJWRpxjxgVhSQCAzRHAeMLzE+9fu/19f1rfZ5/Tpvn3v7e67V1VXn9t9+vTjdp/Va519Ts8MBoNBcDgcDoejhXjepA/A4XA4HI4YnKQcDofD0Vo4STkcDoejtXCScjgcDkdr4STlcDgcjtbCScrhcDgcrYWTlMPhcDhaCycph8PhcLQWTlIOh8PhaC2cpBwOh8PRWkyMpC6++OKw++67hwULFoSDDz443HLLLZM6FIfD4XC0FBMhqa985Sth5cqV4fzzzw933HFH2G+//cKRRx4ZHn744UkcjsPhcDhaiplJDDAryumggw4Kn/70p4vfv/3tb8Py5cvDO9/5zvDe9763dHvJ/9BDD4VFixaFmZmZMRyxw+FwOJqEUM+mTZvCzjvvHJ73vLhemhfGjKeffjrcfvvt4ZxzzpldJge4YsWKsGbNGnObp556qpiABx98MOyzzz5jOV6Hw+FwjA4PPPBA2GWXXdpj9/3qV78Kzz77bFi6dOmc5fJ77dq15jarVq0KS5YsmZ2coBwOh6MfEEes89F9oro2bNgwOwnzOkYLsVGnbXI4HONH2bM3drtvhx12CM9//vPDunXr5iyX38uWLTO3mT9/fjE5RosuV9Tibw97/LHt/bugDsfkMHYlteWWW4YDDjggrF69ek4ghPw+5JBDxn04jp6gywTrcDhapKQEEn5+wgknhAMPPDC8/OUvD5/85CfD448/Hk488cRJHI6jI0rH4XBMHyZCUn/2Z38W/ud//iecd955RbDE/vvvH6677rrnBFM4Ro9xEcckCKopYuQy3PpzOKagn9Sw2LhxYxHl5xgerm6qoYOPi8PRakgw3OLFi7sd3edwOByO6cRE7D5Hu9TTKNuLxq3UXOk4HP2CKymHW34Oh6O1cJJyjAxOfg6HY1i43TdFGCVpVCl7FMcBmy+n7JQlWGZ9Yp3big7HeOBKyuEguPpzONoFJymHw+FwtBZu9/UcVZRBTpRf07beMMqFLbcq4+4N0zkX18g7+Doc44ErKUel9py2ENS49jHq8hwORxpOUo6JVORN7XMSROVwOMYHt/t6iLaQTpPWYR2LMmYH5iyvArf+HI7RwUnKMRLEiIOXVyW2MgJwgnA4+gcnKcdECaqMtHLa0ay0w+HoB5ykHFHkdGqtq5TK5ilbD2lNSFYevV7vw60/h6PdcJJyjJSgUnM98XINqfBR6SPNE77wbMGVlsPRXThJ9QyjjmSro6AsEopNsX0wQQkZgXCYmGLWn1uCDkd34STVEzT9Bdq6+XMUE6bnPe95ZtoqF2QEYoKCAulolcXQ9qBOcz7r3Nz6czgmBycpR2OIEZMQkEDmz3/+82eXWWnOD4B4QFTPPvvsLFH95je/mU3Lcs7LZJQiKofD0V44SfUAVoDAsMMNVY26i1l8mqx4mjdvXpSktArR6kl+Yxl+M5HFSChFVE2qKh3E4XA46sFJqsPIaR9qstxYnjKLD6QjRLTFFluYaSYsraRi6glqCeuwb239cbvVuBSVvj5OVA5HPThJOSojRlAx1SQEBLW05ZZbzpKSpLGeCctSUkJEsPOeeeaZWaJ6+umni7Ssk7Qsk7QApIYy3PpzOLoHJ6kpxzDBErlBEiArISBMQkwgLyEoIawUSQkRyTq2+EBcgKxHfuw3FpaO4x0XUXkQhcNRD05SjiRibVNlBIU2JhAS7L0FCxYU5CGkxOn58+cX+ZGXwRYfFJOoKUnL9rJOJoHMdXh6zPYrO28nE4dj8nCScjRKUKyaYOUJAcHq23rrrYu0ENRWW201a/tJGtuhfQqAxQfl9OSTT85afpJX0jIJZBnSkleHqDtRORzdgpPUlPaHKosALCMo/p3TLsU2H7dJgby4fUomhhwrFBMCJrA/UWcgISkLiknyW6HoZdeF98nXyrp+ZYhdY77+ToIORxpOUlOKpiMAOYoPZAOLTwhIfrN6kvnChQuLPJKGkpL8MjE4WELUkWwPy08g+RE0IcukHFiBAhAVyuJyqxJFleuW+xLgcDjicJJyVEbM5kMbFMgJKknISX6DmCQttt+iRYtml8MGlPyI9ANAPrD8pLynnnqqICbZRuw/+Y1oP5AU2qnY9uN2Klc0Dkf74STlGBo5dh+3N2GCaoLaYuWlrTeUKcQjeRDlh3KgsGSO9jBM+rgsYnKicjjaCScpR632KCt4wiIjIRAJnICiEtUk6W222aZQUpJH0jLJdsirSUqUEgdLsHqCtQirT7YVRSVzrEcfK9iAMQvQ4XC0C05SjjnIIaXcDrxQRUJOiOATMpK02H6w+5iwOBwd+xBC0SQleZik0E6F8HVZh21lO6QRUKGDGpyoHI52wkmqA6jayJ6KKsvdT0o1WelUh17dkVfbfiA02H0IQWelw6HjkoeDKKCkeMqx+4aBt2c5HOOBk1QPMa7IMasDL5MQlBTUkUyw+yRQQhSU5BFVJWkoJEtJST4oKQEIDYESku+JJ54o1gl5yT5g70FdgbwEVb47FSMij9BzOEYPJylHJbDC4d+pAAkQldh+MoGshKgQ6YdwdCYpVlJMUrDt0DaFPFI2RqdA/ynYg4IyVVX23SlXTA7H+OEk5UjCsvr0b4u0YhF+PBqFZQNi0iTF4/bFttH7sazH3HMeF1F5u5jDkYaTlCObmKx8FiGx3cch5mz7QVUhoELSKSUlaQyBJBYfKnTJi+GSpCzMEdGHQWx5EljRfa6WHI72wUnKYSKmlGL5LMuPyUq3UYGw+Lduk0LZCJpA2bIeqkrSGK8PARXYH9qjoMJiqspD0R2O9sJJqucoi2YbJuIvFdEH0opZfmWTVnO83LL0YhZflXOtimGiBJuIMHQ4pgFOUlOAKpVhDpmlAiesEHMoKK2keIL6wWSFoKN/E4edc1q3dzFRakJtQkENQzJOUA5HHpykHEMTVCpYItUvSi/jfDqgAJYdIvuqBEukLD6Hw9FuOEm1FJOsRKuQVcr20+QR+63twZRVZymhSRPOMBF6bvs5HGk4STmisCrPMvVkfTeKo/xSE2/HkXb8OXhNYmVEBYswlzy4DW8cgRROUA5HGk5SDhOpoIOUcooFSuT2beIwcY7uy7XxUqhKVA6HY/JwkppC1A2kyGmbYqJKkZDVlqSDHGJEweqoyqTLcDgc7YeTlKMSqgZJcGQfd+yNBU7o8fV4YFkmHET7yVz6QyGoQk85hOVwONqL/1cbOFoBy7oaJjw61U7TRFkp+y01/JEVKh6z8Kz9cluVnixi4u2aJqk6ZeljcjgccThJtRDDhkqPaptYW1SsHSqnLcr6rAbvg6HJKKacYipKl9UEUtcttg8PhXc48uF23xQiJygitW1MMVn9oXR0n7U+Nr5eGUFhzD6Z8H0pPaUIa9TWnxOQw9FCJbVq1apw0EEHFV9a3XHHHcMxxxwT7r777jl55PMKp512Wth+++2LTzQce+yxYd26dU0fiiMDTb3V56iqWMAEB02UwbL3yhRUV9qiqkYrOhzTgMZJ6sYbbywI6Pvf/364/vrri4E//+RP/iQ8/vjjs3nOPPPM8K1vfSt87WtfK/I/9NBD4Y1vfGPThzK1GLYyjlluVkSfZe+lbL6cr+da56ItPh0swb/1ulETVtvJz+HoMhq3+6677ro5vz//+c8Xiur2228Pf/iHfxg2bNgQPve5z4Urr7wyvOpVryryXH755WHvvfcuiO0Vr3hF04c0dWj6TVwHMsTao/TQRqmOuzqaz2qXAiyCgsVnTTmWX9PXx+FwdDRwQkhJsN122xVzIStRVytWrJjNs9dee4Vdd901rFmzxizjqaeeChs3bpwzOaqjipWUG0hRpUNvWYfcsiCEWDSftvvaFHqe6uvlcDgmTFJSWZxxxhnhsMMOC/vuu2+xbO3atUU/mW233XZO3qVLlxbrYu1cS5YsmZ2WL18+ysOeSqRCvjlPWVSfHpmcFROnY3Yfw4riSwVK5PaTQtmjRmpcPldfDkcLSErapu66665w1VVXDVXOOeecUygyTA888EBjx+iojlQn3pTdF+u4q0PPBVaouSYlEFUVuw9lj+s6ORyOloagn3766eHaa68NN910U9hll11mly9btqz4/Pf69evnqCmJ7pN1FvC11r6CKzN++64yQnYTFWKZikqlY3ZfzA60LL5U5+OUxVdlOKQmIMdp9buq+x9gW5Tp5OZwjFBJyYMmBHX11VeHG264Ieyxxx5z1h9wwAHFW/Xq1atnl0mI+v333x8OOeSQMO0YZ0fPMivKIhHL5tNRe7G+UDG7T+8nR0XFAie0grKIjPfT9DWrg1QHZodj2jFvFBafRO594xvfKPpKoZ1J2pK22mqrYn7SSSeFlStXFsEUixcvDu985zsLgvLIvvFhmA68KbuPbb1URJ8mK40UUQkZSfANiEnSMjFxWaNQWJ14u9B/yuGYZjROUpdcckkx/+M//uM5yyXM/G1ve1uR/sQnPlFUTNKJVyL3jjzyyPCZz3ym6UNxDEFQqeWpcPSUrRcLkGDElI6liHRwRE5UXw4hOWk5HD0mqZwHfMGCBeHiiy8uJoeNYdo4moruSxESCMey+aCadMCEjvBLRfWBdHIsPrb6YpZfU4pp3P+LwzHt8AFmW4o2VYRWcETZJzrK2qRS35CyxudLkVOqTSoWjh5DWQRgm/4Xh2Ma4CTVMjTd+TOnoyznzV1X1ilXf8ww1pnXghU5V3Xi7XL20QSs4666jcPhmAsnqZahDZ0/U+HmTDqxjxzm9o+yyMpSUpjrQAkET3AQBaupss91jPK6Wb9ztnE4HHPhJOWoFSCRa/XFovrKxurL6chb1hZVNuqEw+FoP5ykWoy2jvtWZvFpArL6Q+V23LWm2Oc59MgSXOYkUHW/nN/7TDkc/w/+0cMptv7KCAPrUiRUZvVpu48/56EDJjBPBU3o/lGp4ZBS0X2TsP+azu9wTANcSTmykCKr2GgTerk1ykTM6tMh6Lp9KjalvifF5fP+HA5He+Ek1QGMsiLNUVGcHuYLvGUExecbs/hSk+7Qa5Ubg5OVw9FOOEl1AE3aQDGLT5ORXqdJiTvnwtaTT7Bg4t+xDx1qskoNgwR7TwYnxsRRfrD+cgInHA5Hd+Ak5UiGm+dE9lnfiiqL6Iu1SSENcklZfGWf5sgdWLasA+8k4e1UjmmHB050GHUrsCrb5Vh8ICBr8NjYxw2tY0hZfJp8+Lekyzr2dhkWkTsc0wJXUlOE3M6l2hK0rD7YfLD05HtfmCOtrT4Onkh14rVsvpTVx5F+1ocOU+1UDoej3XCSagnKKtBx95kqIypLPcU+xZHTgZfPx1JMqWi+so8gjvI6jRNVhrhyOPoCJ6mWoKziGUWfqZx9puw+i4isAWVjdh8mbfFVJaqYchKkIv3qEP8wZBcjzD4QqMMxKjhJtQiTqqz023nOEEjcWZdtPm33paL7GFYnXrb02OZL2X6w/KzRJ3Isv7L1TbwU1Bnjz+GYVnjgxIRgVUyTqKwsctLrmaxixJVKp5QUUDYEUiyAIjYsUiqiL6czb90XBn1ODodjOLiSckSRY/NZA8qyakpZfthHLHAi5ztSqSGQqrRLOaE4HO2Ek5Qjuy2KrT6282I2H34zacX6SFkkZdl92upjy48JS7dxOUE5HN2E232OJKoOhRRTTSmrT2DZfGXDIYGMLIsvNV5fH8jKbUXHtMCV1JShSl+pVNh5bORz/Q2plIICtIrib0TpEdC5X5T+jpRuo0LZej96ucPhaC9cSU0pUiHtqXao2Fh9sWg+3XdK95ECcegv8Opx+SyrT3+qgyP7+jbqhMMxrXAlNYWoOyySZd+VjXqe0wFV23Kp6D4rqi9nSKSciL5RwonS4agHV1KOaCh6TElpq48VlPU9KU1aqWAJy96zgiSsCL/YqBNtIA7vC+Vw1IOTlGMWOjRcR/XF2qG0zWeN1WcNhcQjnZeN1Ve1A28fgyUcjmmEk5QjOgJCzigUVgdfK4TdCpYYNrovx+5rurNuG+GRfo4+w0mqpZDKZlIjUPDEll1MSWn1ZFl9fF6Ycyi5/rBhKljCUlGWkrL26ZW4w9EteOBESzFugtKKp6xNyiKm2MCy1rnESMr6Am+Z3WcNMMv74XkdTDrowuGYZriScjwHqfH7YrZfjsUXi+Szxt+rY/Nx+TodO4ayvPp6VI2MzCm/Sbj15+gbnKQcz4EVWl72vSjL4rMGkRWCkWVQT/KbVZEopaeeemp2/uSTT85ZpiP8UmP38X55rlFWmZdZr5OyZh2OaYCTlGMOLKVkjXqeIqhUOxTSTFL8Zd0ciy8nqi83wi9HbZQRkBOUwzE6eJvUhDAKK6bpMnWUX66lFzu2so66POpE7GOHqS/w5kTztXFYpFEeS5X/yOFoI1xJTQijqDiaKtPqL1U2aWgy4uUCHrkctp4ooyeeeGLW4pM5230yIaiCx+9LWX1dwKhIxMnJ0Qc4STkKWIRjkVUqr8BqD0I7FCsgtuuYeHLsvtSn4/kYpqGPlMPRdzhJjRFtebOt29Cf2wGXrTyBtFUhP5bpEcz16OeaiLQFWPZ5jrZh0lF3k96/w1EXTlJTBhCUJiqrorfSsbYkJhgpVxQPAi5kG8zxDSjYefJ78+bNxSTbIC3rZS72H/Jqu68scMI6B4fD0S04STlMxPoQadWkyUomUU5CIDIHGQpJ8YcKQTbyG21OsoxDzXPsvlTghHfCdTi6DycpxyysSj6lntimAzFBSckc4eis3lhJMUlxMERsVAnrw4Zl5DSq69Rl623S+3c4qsBJylGA7T8mJiEGdL4VwhCAVARiw8nwSJJ3/vz5RV7pNyVzyYMx/6CkhHCkbFFMYuXJ78cffzxs2rSpKF/mjz32WJGW5bABJa9sw32qyogL59I0QLgOh2P0cJJymATFlXysDUqIB4SBtBATlJJAykV0Hwc+IKQcIeggIG33pUaXKCOlURNJE2Q1acKb9P4djjI4SU05NEFhzuTEwxghKAKBEWhPgjoSspK8mLOyiikp9I1CmxT6TLENGAuU0KHnsXO00m0iKo2mjzMV0elE5WgznKSmGJqguC+TAMQEZQRbDxafrJOPHQpkDtISUkJ+fO4jRlKyD7H1YPGJ3ScTbEAQGTr1wnbEkErW5znGoaza0p2gr8frcABOUi0I/9Z5BJyPl43yuGJqiq06BEWgfQqqSoA2KET4QVFhLD+2+6DAtN2ngyhinXerRvRpgipTXdb1t65Z6j/NIcXYf1tVXVkvHHqb1L3nwRSOtsJJaozQY+Gl8qTSo4Bug0KgA1QVSAOqSkhF1onSkWMT1QRiwhwBEzGS4n5SopqQht2HsHTdwVePMMHHnwurEuflOm1tH6vwUy8hseMYFrn3jSsqR9fgJNUBjKti0SHnOkBC5gg3FwgJCWSdpGH/SVoi/dAWhfzcT4qVlBCdkBOsPyYsWIIIqEAYO8qpE9FXhURSmNQLhcMxTXCSGgPKKq2mKs1h26Iwtyw/EIMA7UKyDgSFdiasxxwdeVlJaZLiPlP8GQ6tnjiYI9fWs1D1WlexwvjaxtRaXYzLkiuzoh2OccJJasTIqRCHIagqBJdqt7DaYEAqaGdCsIKQC9qmRCXJMiEq2HiyTPJASWFigkEkHwIxoJgw8jnIS/Ih4EK3R+HY24RYe0/bjtPh6ApG/j2pj3zkI8VDesYZZ8wuk0rotNNOC9tvv31YuHBhOPbYY8O6detGfSi9RFWCK1Mgul8UyAl9oBAijnYkicTbuHFj2LBhQ1i/fn349a9/HR599NFi+tWvfhWdHnnkkdl8sp2UIZOUh0686MCLtilWVrnh5w6Ho9sYKUndeuut4R//8R/DS1/60jnLzzzzzPCtb30rfO1rXws33nhjeOihh8Ib3/jGUR5KLzHqilm3UcWGROJIPEx67D1rTD7ra7tWh91RdtrNCWbR+esoX1aUsamJ8kaNce3H4Ri53Sf9Xo4//vhw2WWXhQsvvHB2ubxxf+5znwtXXnlleNWrXlUsu/zyy8Pee+8dvv/974dXvOIVozqk3mEUlYWu/LkzL1eGsk5sQAGCKziiD3Ou1Fj96HYtIS1ZB8JCGv2qYlbfMG1TgFe6c5ETpu5wdJ6kxM476qijwooVK+aQ1O23315UPrIc2GuvvcKuu+4a1qxZ4yTVEnCnXl7GHX5BXtIGJYSE9ihJY64rNw6AAAFxeDuUmRXFh+PBvAmCcjwXTkaO3pPUVVddFe64447C7tNYu3ZtEaa87bbbzlm+dOnSYp0FtEsA0nbRZrTpIdedOa31sQAKvUy3W7HCgrLiubahtH2oVZK295iYUqopdr5lefX5V4mea+o/Lvt/YnnbFAHoLwWOTpHUAw88EN797neH66+/PixYsKCRMletWhUuuOCC0DXEoums37FtGKn8FsEMc5yxoArk40/C80jpsPjY6tMkhe1ZJSGtQ90t9ZRbKTJRxraxSHmcmETkn/6PY/cNr9fb6jwOx6gwM2j4LrvmmmvCG97whtkOnLq/zHe+853C6pMoMFZTu+22WxEBKEEVOUpq+fLlYdqVVN3+PrHtrA6pPEeaR5FgMmKLD8u5DL7VdECEpZ6s6L0yBVVFYWF5jPzHiZz9VT2mcZ2DE5VjGEicwuLFi8enpI444ojwox/9aM6yE088sWh3OvvsswtykSF0Vq9eXYSeC+6+++5w//33h0MOOcQsU0YvkKnNqENMdVRPE2XnWEyxvlPa+sMQSkhrxAiA27xSth4fb2x5DmJv/zmEPUpYaiU3TxVL0q0/R1fROEktWrQo7LvvvnOWbbPNNkWfKCw/6aSTwsqVK8N2221XMOg73/nOgqCmLWhilBVhE2XHiEoAUkH7E9KW8rIqMW6fstq7rPx1j78p5JZVlTxzyMbK452EHdOAiYw48YlPfKKo0ERJiY135JFHhs985jOTOBRHDaKKtbWhnSpmHSI/z630MIqJ0RRB1bVVc4/bicrhGGOb1DggbVJLliwJbcI47CGtDOrsU29TpX1K/061W5WRVCxdNTAiZ1mblVRO/irn2VTbVhMqtINVi2Ma2qQco8OwlUaTYdOxN/icNpbYNn15sRim3LaopTZ1o3BMN5ykHLVghW2nQu5zy5zGCtgKTEnlcTimCU5SU47cSD8rj7V8nH2OrGOpQkBtI6uykHhNZnq9Xp7qG1aWx+FoC5ykHI1jlKH1uai7/yba+aqWFwscqdLu5ErL0Vc4SU1xpN449tVngrLy1wlsSRGMtgFTKtWJytFHOEn1EDGCqBvMULUjbNlxVEVVCyvn2HL2lZMndZ3LRvhI9R3TQ0+l7D79n1Sx/kaJSe/f0Q84SfUQZZXipK24JtF0G1QZ2WmCsghL5jwCfBlZ8fBP1lBR3MFZp2Pn4KTg6AucpKYQVRXOpKy7mEoZVZBETCHFiAhznY5NMWDUDlZLemBdKwIwFRWYS1ROaI62w0mqA0iRRCzsO7VNqsK0thslQQ0bqDAMUeW0KcUICmlWTDqNfJaqEljqSY8ML9vqcQ21kuLjqqOurHXDdidwOJqCk1QHkBs9Vrfyzt3XJFHHqqt6jWKKSK+zCEiPDI+vAPDyGElpYsKAu/hCMX+zi8c11APz5lyfKkM1xa6TwzFOOEkNiZwHWL/xxhq2m6gM2vTWW7WiayLPMESlicQaMNciKaSFmJikkI6RFP4v2H0IlGCyQn4QEsrA/2xZf9a5lXUWHjYStOwed1vRURdOUkOgqtXEFcswZTV1TKPcT9XjqFPeMPZdjJw0SenvYzExaTJCWuZ6OZcBsMVnqSfJL3P5grEAy7Gt9b2tpsjAuk5N3ONOVI6qcJIaA3If+DapoFETVI7iiS1vyr7TislSSfgN0kEa6+bNmze7DGmZxwhLKw0QD4jq6aefLkhJJvlCANJPPvnkcwgr1k41CTKoQ2oORw6cpCpilA9hU5ZYlfxNkUXu+jp5yrYrS1tKKaWYWCkxSSENMgJJQS3Jxzw1YSGt98N9ooR4QFSsRFg1QY2x5afPtU5037hhWZAORwpOUo6REF5dksnJlyIiK21ZdrycP3vPZKSJidUT0iAmWcZpJi9WYZqkhHSYpEQxieUnyyS/pGV7DqDggAlYftx+5ZW/o09wkpoiDGMn1iWo3HQZ8cSWW2SkiSjWnpQiI23bCQGxYrLSW2655SyJMWFZJMXkAlISEnriiScKyw/kJGmZoLjQTgWVZbVL6bTD0WU4SY3Y2mtLO1POcTRt8dVRQbHlMVKL2XisnqxwcB3oEFNMTFLIhzSTFIgJaSGsGEmx1QcFJHnQ/gSCkW2hoGQ9IgFRBsqsSkiW5TaMDdeWe9zRTzhJjRhteXibUFAxW66JuZW2QsA5rdWTpZKsCDwBSEZbciAVJilNTFBMlnrSJKXbpHAOsOx0sITkld8SNCGVv8xBYKKuZJnMYfuxfch9qMpGpOjjPe7oJ5ykHFHkqiImDf5dNZ07VemnxARkkRHSCHQQooGa4rYlIR1NUiAjSz2xDchKyiIpISIhHplkO/ktk0DKlPKEpIS8BJIPagptV7pNCqQ0LqJyOEYFJ6kOvBXGjqmuzZKzTRNWXRPElOqnlCIpKzQ8RlIgJp0GMVkkhXJjSooj/SyS4r5RrIBkOyyTcmD1QR3ypK9n6r9sI1Gl7muHA3CS6jCaJNRYWTmkYxHGMMooFg6uyQhpHQChQ8PZ1uO+TKyYQCqspHTbk0VSerlWZqzq+BozSSGiDzYejkGUExSTBFQgaELWC0C0AlZSlopyOLoKJylHKdml1E+s82uO8om1IcXak3Ki8bBeh4NrG45JShOTlWYllWqf0uqJw9stkpK5bCcEBTvPIqkFCxYU24u9J+vRdwokhfB0/p+coBx9gJOUEdk0Lsuv6kjlucdW5fgtqy62rsyqy1E+MZLigAaLjHR7kxWNpxUTh4lbJMXqKaakykhKpzVJ8TXR1xbEgig+KCMrqEPbfLEy20ZMTX4Wpm3n5hgPnKQUxkVQdfY1zmPjfTKpCDR5cDuPpXCsgAatjHTUnbbvYmmrk22sL1PM1iuz+2Jh55qYYhYfR+Bhjr5OTFToE4U8op4QzYe2KhCZpHFssVEo2oAu3OOOdsNJymGirA1J9x/itA7fTpENyrOCG1LReLwflBcjJiYjWHKxKD4dRBELR9dtXBYB83XUJMWjTAiwDULPhXjkWNEGJROCKEBSlqpqI1E5HMNgakmqjQ/yMMekK8JhyrcsQMvW08RjVeSW2tHEFCOpWMfaKiRlKamYerLSumzr3FLqSZMUJiggtj+rTNZ/1ka7ryvPbJ+vW9cxtSTVVwzbHsWVICsCK2Rb1s2fP392nbz5owLnNpycQVh1G4xWT6zYUh1uqxCWjvRLEaBlMcba22L/A6L5QFQCUUc61Jz3pdvx+P9x1eSYBjhJTSliBMXLLIsPBMBkBEKSNhSQiZBXLLhAW2U6NDxGRjEiidlwOp1DTLE2Nh2soYkpRhhMSNwvivtG5RKTJijrv3Q4+oapIqm2PsxNHlfVMfp0Xl3ZWhYfR6CBsFhJIc0KS9ttdUgqZfHlkJTej7VPq/2MFRNfhzILTv8vTFh6GSus3InL4bljMs+gX//RYKpIahpQ92GziIltOCYjUUwySXrrrbeeVU3bbLPNLDlttdVWs0RgDSkUI48UYcWWx9q+mFC1SioLetBqxkpb11uTiEUu/KFDjNkXmzgKUI9SoYmN9+dw9AVOUlOi7nL2Y1lLXKmzxQdiAmFJhQ/CQhptV8gb60xbR1XF2opAIlZ7VyzQIcdmswIhNCxlVJaHJyYh7uyryclSVE5Mk0ffA1cmhd6T1KQtvlHuP5d46pTLFba2+EAwUEmw+YSsQFKS5rYqS0mlvmQbIymtnspC2lN5JC2I2XdWG1CKoPhDhPy9KHxxF8oJIeg84ZtSGB7JUlKayEZFVHyOsTKn/fMcsfPPsX0d1dB7knLkBUwgzRW2pZ6gksTak3WLFi2aVU2LFy+eDZ7AehCWVlJlkX6xtqJUu5Em1Vz7TpNRTlCCZeeBjDQxgVhAPBivTzruyrrHH398duTzzZs3F+P0ySRpySdprI+RWExhjeM+mkZM+/mPE70mqWlXUaltUlFiOlhCKygmLCEgaX8SwhGy0iQlkw5Tt9qkmIxiaSuIwSIjzpOy8HIJScMKfshVT0Iw+BovyAYjTWD8PqzDb91GlbL+rIAKR3vglmB19JKkrMbsnGVN7rMqqhwPbvS6+0zZFFZbDJMKJhAQCAtkBJKC3cdKyiKpMmKKKaJUP6UyYuLzLPtPdNoKgsAcZGTZepIG4ch6KCn5LWlRSfjYIf9m4rLUk+531WZM2iLENbKOYZzHFtu/Y4pISqOOdzxuVD2eYYnK2reu4EEkIBcOkGC7TyZZv+222xaqStILFy40SapsSCGLmARVlVFOexJ+6zYd7tcUi87LaW9ixQSSkjRISohI8sHuk/UbNmwo1sm0adOmORYgCIzVVaqNqm2Y9DOX2v+kj80xBSSlG3u5AkqpqKoqS1dsqZu7bD8555PaT9kxVoFVyVt9o7SaQuAEJlFTmMPmY7uvbEghnY6pJD7Gqu1JKWjFFAuGsCLyQEz6U+9CKvhMPEgKbUySF2nYfpaKym2HapKgcspK3eM5z4iVL/Ws5JbZJuQouLLznWb0hqQYZRVVlfWpm6rsBhq2whxmu5xyYsssu08TFew+TVSw/vAbbVhMUpZiqhIOHlNJ1stGjoXH4eJc8TMxQTEhrYkJSopJCkqKSQppKCPJiwAJyctBFFbABMgqRlQ4r1jbVBXiGfYez713c1/0qpTZJqQIqIvnM270kqRGiUk8MMPezGXb6gq+jJhYMSFwQtJiAyLSjzv2st2nw8c1MbFSiqmkKtciVnnHyEgTE9t5mphAQpqYEAyhiQkKCSQF2w4kJWlYfLJu48aNs8pK8oDwEBXIx5Hql2Wly+6HSaLrpJSLPp9bk+g8SVWtsOpaYVxG1f3mlJmyOoax9aqqSuu3VlSawJiA9JzT3BEXasoiqZhqip1DrPK1ovA0MQlYkVjh42hnstSTRVIx9QTyYbtPt08hf5nNFwua0KQcuxYpDHOPx56xcamG2HPVNEZpw/Fxz2T0Wes7Ok9SVdDEDTuKm75tb44psooRlu63ZPVlsvo0WUTEQKXLJK7X8W+9vKxdiVUSyIiJCWkQEKsnTVIgoxyS4n5SopJASpKGvSdqS9t8qei+piqxUaj2cbxMDrPPNqGrxz0qTBVJOf4XllorIycmKD0eHhRTmZKKRelZ4EqXRw3XZBSLwMN2ZSpJd7hFGkEOmphAOpzWJCVEk7L7QFKw/kBCsPVAUlBokh8WHxMmn1tf4JW0g+EkpTDpAIcmys5pg6pTVhmxlVl0KWtRQ6uClHUXIyakUyNBsGKySIpDybEcCihGUkxMMZLitiXuB6VV0yQ68HbBVprEc8rXpaycUVzDGcNNmAY4STWAPr/5adtMt+lwGLY1Yjd/Ip3bOmQdh5IDsQi9VNCDTmuFgf5LOR1uQRCSRmADk5QmJixP2X1QPpqwsBxp2IAcpg6SYiVnBUs0afc5HG2Ck9SQ6BtBpSw0i5wsgkLFKnMBKn0M6GopMN6/PhZBioysidUTkxEfL4eMMxkhzSSl1VNKSTFJIQ0CZMLiNJfHxMSqTqtBJybHNMBJqiF7bBJkJfssa2Qe9rgsWylGXCkCEdUk89xgCd6PgCtmq43JSlvReCn1BDJg8qhDUpqw9Hh9ep8cDGGNfK6vrfV/6GtnXc/Y+nFjVPds07Z4VYuP8+e0s1rrqtY1gxb8n6OGk1TH1dQwD2aZgtGKSSpQ2QZ9dySP2FPSHwoBAEJGkldUk8wlYELW8begLAXF+42pp1g0nmXlacWkiUmPClFVSVmBEzocndWTthJZJWnC5OUx9ZQiKn1NrfQkMeoI2Sbz40WwSrl1r3PfXJlWk9SDDz4Yzj777PDtb3+7iFZ60YteFC6//PJw4IEHFuvlTzz//PPDZZddFtavXx8OO+ywcMkll4Q999wzdA2jCpXNudFz37ys/eSoGFSOkpcrXiYpjCeHiDUhIskbIylE9/Ex1CEm3R5mKSaLpHAOMZKKERO3Sek09sNlx/Zphbdjf5p0tXrk/yXnHmkjQY0CoyKoSRCVYwwk9etf/7ognVe+8pUFSf3O7/xOuOeee8ILXvCC2Twf+9jHwkUXXRS+8IUvhD322COce+654cgjjww/+clPitEJ2mzxNdEPJLXPMrsgp4wqeco6XmrrLtYuBTKA2pI5Dw4r28lvLluTVMzOE1gda8s62YLcytSTJuAckuL9WMRoERYfiw6AsNrcYjYr0vx/xZZNG9FUUUi5yH0ZjFmDOcvrYmYKrL/GSeqjH/1oWL58eaGcACEivpCf/OQnw/vf//7w+te/vlj2xS9+MSxdujRcc8014bjjjguTxigIahQPT9PQb+0cmcfBAKKYZOgjqXDF6hPgExyyTNbJdjx2n6Wk9H4t9RQLGdfExMEFTB6cJxbFZ9l91nK24bRK0+lYfyxLGVrtbZwWsHoaBUFVVeVdRY6bkHphawMGU/JfjYykvvnNbxaq6E1velO48cYbwwtf+MLwjne8I5x88snF+nvvvTesXbs2rFixYnabJUuWhIMPPjisWbPGJCkMIQPImGZdIaiu3Ey48TVZMDGABOS/EPIBSaGdChafkJRsC3KKkZS2FgUpYkqlQSRMWBaRaIWjo/tS7UPczsUEiOO3rDpLgQqsgAgsxzUZp4Lqyn06LnLSedtEVjM9/69GTlK//OUvi/allStXhve9733h1ltvDe9617uKiuqEE04oCEogyokhv7FOY9WqVeGCCy4Y+tiqEE0TeavmaSthadLCBOUEi08qdVh7QlQChJ1rkuIHndVDrO1Jp3NIihVOTnQfE5OVttrBdFrA5xCLzotZerj+uelUhVmlMh224q3zdp8Tnarz5ywryztsh95YX76c5VWtv8GUqaaxkJQ8fBIg8eEPf7j4/bKXvSzcdddd4dJLLy1Iqg7OOeecgvRYSYmlOCrk3Phlb2ajvLGqVihl56MfFlYDaFvCUD8Y4kiASD1YfLINPtUheWXOX+PlgWQ1SdW1+KxgiZQlF1NjsTwWGenj1cRjKSakWTGllFJsHls2aQzbhlqX5GLLrXtbL8+1+6z/Cb+tNO9v2P9oZsoJaiQktdNOO4V99tlnzrK99947/PM//3ORXrZsWTFft25dkReQ3/vvv79ZJj6gNw7UJagqdkJTN25OOXVsSm3DocKGpQd1hPH4JA+IS/JIWkiNv+rLJKX3U4ekLCVlkQqTFNtwMcLSeaw2pJgiYqvOIiZLOY1CQXURoyIoK60/AZP7HLC7wHlSz6NH+rWQpCSy7+67756z7Oc//3nYbbfdZoMohKhWr149S0qijG6++eZw6qmnNn04tW27XLtAL0uVoeV/3Zs3Zi+Mgqw0kUh+DqjQkXGyXvKBvBDRp0c/5/PQVplFHlVUVardKBbQYFl1VYIbyiZ9Pfn8Oa3vibI8KZuor2RU5Tktm2JlpP4zvQzLU897E9ZfGZooYypI6swzzwyHHnpoYfe9+c1vDrfcckv47Gc/W0y4kGeccUa48MILi35RCEHfeeedwzHHHBMmhRwrj8eaK3tb422rvi1bv0eB2MOJhwqVOiw9EBTWg4DQFiVzsfj4k/GSB5+MB0nxvnRlXxYZF2sTsvJoYtLtQ5qYBKlAB0sxWSrJWpeax5bp/yW2TSxvH5HjaOgPaGKu08ivn1v9X/L9EXtZwXYpcurz/9IpkjrooIPC1VdfXbQjffCDHyxISELOjz/++Nk8Z511VvGZ7FNOOaXozHv44YeH6667bmx9pOoQlCaj2E0e87pjFVLOTayXD6vE9LmVERWTE7cpIQhC1kla8qIdCraf/tAhJkullakdS+GwSrLKYDIqi67Tk16Oa8Mkxdcsh4Ry0/r/qJq3j8h9Npmg+AOb/JFNWNas7Bn8P2MUFb5fOa2PB9tjuRPVcJgZdPCqiT0oYes5doAFvT7HvtOVbOpLsrrMVGVW9Y3bKrMuUhagPk885FBGUEfS3gRignrSYeeapPS1YELIaROK2XCpsG+LeKzgBuuY9P+WS1LWf1WXrFLrh7kXxvX4D2tNl71I4qVRKyYQE3/TzPqumQbfJ9pGtu5P/QI0zP+bs7wMXarWN2zYEBYvXhxdP3Vj9+U8LBbxWDe/wPrarN6PRUqpN3irQuRydJkWYsurEjgfCx8P2pvQ9wgRgExkVoWgVaBFUlXT1nVNXVvs1yKmKi8Nqf+jiiqK/W+jejnpm4LSth5/FRr3ITqVYz0iU/lZBvge4kAdHoVE0rpbAislPXdFVR9TRVK5qku3Q2mi4oqXB03VRFVGUtrftto/0O6D49KVWMz6s5bXISjeLx5ErMOx6QAJHr9PtwHo8ygjqZgC0mrIUkaWCrLSsXX6OsTSZcTSVJ5prNhyLD7+zfeb/jI0FL9M+iWKwSqJX8bwvOI3v0DCFreO3YlqOEwVSTFiN5Rud8KNz3YXv4nptzJLTcXUU26nTy5Dl4ffMXux7Lxz8ljl49j4HDUhocOvJu4YSQksew7LrWvI18HKa1272PXU6/U1qJvOKadKGWXryjCJylHfQzFUzWO1PXFbKIhJ5mJHYz1GSuG2KhyngC0+WY/fkg/OAc4J9xuneYqRUw5pzZQ817HrmlsfdAFTS1IMJhV90+OG57cvtg7wtlZmbVnEVDb6NadzG/V5rtPDwNoHHkqcKzr+aoJPNU7z9Um1D8VIOkXcqXlqWV3yqKJ+pk016ZeZVJ6cciyLDxPGjJRpq622ml229dZbzyEsfn4ZeE7xfOLLyfJbxq3EIMQgL5msKNHYvVeVqJpq6+sqek9SuX9imXXADwLe0PhtjdfnkBRsBKRxgyKN9bx9TCHEKtamwW+FnOZzxfFz9KPVMM1lWueSUjpl63TZw6Zz1w+7POdNOfdtWr/BD6twYtvx9rqsXHtdL6/yzFptUiAePJt4qeQBjyWSmPPqawzy4ahWRLAKYGkjP4YD4+Oyzq8qUQ0q/D9chl7WZfSepKr63ExK3AgrNzsi1iSNmxzLccNzOwxX3BZJWaMl6OF9pEytwMoCB8oq72Fu4NRbH6sqfrgsv57LyjnuVJrLSymm2LlXJZ8mCEovi21bt8KxLOey8qtAlz9MWVX2V+UlEopJfsvzKkoKJCUKi18yUyQFIgMpIUgIBCaT7owu0HY4jr3O/5iD2EtB14lq6kjKeqis9ifc9ExM+ibXb2V4a0uRlP60BEcNgaR4ufVdJG7ExTZ6P7ovR1nlXeVGtipYtv70tdXXPbZva55DOqmyUudWhbiHzVtneS76bvloO14TFJ5PkIk8jyCohQsXzj6jixYtml2+zTbbPKd9iv8PfFFZni354rTYfBijUtKyTraR3/Ls8jY62g/PI8p2TClJVfGzY/lTb2jaQuDPUMDfxtsbl2GRFAiIo4bwNgbCwWcvBDFLRacx12k08sZshDJLIWUxxQjLsh7Kyi5TRcMonlGon6aXY11Tb799qBBT9qBFWqymWFHB7gNJIYgC6zRJoRx2MNAvEISDQZXxLCO/Pi7rmaj738wM2W7VxXuiNyRVF6m3M+1py9uYtg4kjcZZvuE5yi1GUvqz5SAp/UVY2IGpr70Kcsaa01OMBPh31QcjN28ZoeQSTtXfqWOc1PK2qqKyF5hJuB6x55WVEV4e5fmUuTyjop7kGUWaXzhTSgq2IJ5F/o1jkmcW2/LXqXGMILactqjY8zbTsntjXJhqkuI/nZUTv4Xh0xNys/NNLj2kET0E6wAPBluGAiYKq2MgExNGG0daIotAUtpWYMKCxaAHYc1pw0qRVhmBWchRMKl8ZaRSJW/Ty4ex7Lr4FtuGilETlBXVx2qJiUnsPth7MkoNrHqx/vgZ52AH+Z/kWcNLpKxHVB8sPnkuMRwYCAtlgJwE/LJokU9VoppGTDVJpR4C/YZmNcrygwGS4l7tVnQeIoS0xYc0OhbiDU6nuQOhZd+hbQjb8XJNPjxxhGEZtFVYFTmEMyxRNbW8aaUUs1qbqpC6VLFVtej18piqsmw/67nVSsoKcuAgCQG2R1ATAir4mddt3FqNpoIpnKiei6knqZhtwIQEhSRvYOhvAVUlaXlbw8jfaJ/SJCVgtZNSUlBP+NAg0giu4AZaVlX8hVn9zSW2AbWq0h1oNXnhHCyFxecXe7iaeNDaoqRSy4e1sbxCigfaWHaf1WbML454HkVZwZbH88tBUJaSknKYnEBWsPVknxJQgWcB37sDeemXS+vFzv/zPEw1SaXewjiEFQQlNzYihsTuww0P6w8PBJMdgJuZSQoPQQ5JyXqQFNKwJSwbUH8SncPeNWFpOzCHvGKWYIzI+DqMS3k1uTx3vWN0yio3UILbo+S5hSWPSD+k9Ysl9sHPElQSovjwW7YVCxAQwhJwtxF+UbW6Yfi9lIepJimNlH3Ab2xW9BATm+7YyxU3k5SO6EvZfbjBuS+SHjsM52A10lrfTBKgUZetQRwrkFJYVVDH0qhKUKO0+KrmaWpbbRcNu/86+8tFE9vFVFRqW91Wpfs5Mpnx88vDmrE9xy9ZyAu7nsvhSdcXrM6abNubGSJar4uRfr0mqZSfjXnq7YyJR9sHsA6gsDjSjwmNAZJCJa+DKDhAgi0+RPnFFBaUEt70OA21ZY3crL9qyySKY4x9/iJGXJbaKhvmCOtShFWXoMZt5fUheKENwRIWcVVtg+JIP57wHLP7oUkKZXIkrSyTvLifZVs8w1JH4DlFuzN37NdKSr8QuvU3hSSVQ1CYWyQV87jZQkDUENqnmKSs4VYEXNmz3aZDzTnSzyImSbPdV0ZYHNKuCYtD3S3yEmjFZ31IMBb2XkZqgH5IWYGOUk3lrne04zkue7m0nlsmJzzHKZKSctiOF8gyeb5x31okBVcFoeroo6jbvJyUppykUtZBapsyhWXZCZaloO0+lImbk29cruRxYwssP1vbbFakH9t93D8j1mlYtgMR8egVIFE+bsum4/NBGak2Kj7msjdLPi+NUZJV3fzaJmuiEppERRaz+6ragMPYhjmBJpjnTPqZjVlzWklxWj/juk6w9hs7H/5fx01Ygwn2fauDXpLUMEhZf+xjczgrOvzyOH48RBJX5DF7TA+XpBUOR/TFAicsJWV1DuZgDewHZeh+V1a0IFuCugMxziHHMoyN9s72IP6TqkQ0Tug35S6CK64yFyIXda5H7Bis9p0cuz42aVuQiYbvO4wygftTdz2R54aHZOKRKlJKKnbuWmXNJEZ1qYuu3adTRVKpPyfn7St2g+s+GExiXI5AKwuumK32Ie60GyOs2HKLpKy2Ly6bR7bgETF44NvYOIJWZ2I+H31ueABZvTFBVVFTk0TXHvo+nIP1rFrPbYyY9O8USclzjPsWz7X85hFpYgEU+jhz79kUUc107L+aapIa59tr6u1Sv9lxWkt/rniZsPgB42UCbnRNRfShDG33yTL+aBuiCHUadiNbHngTROgtiIaXWx48jo9Jh9USllntVZZFOmx7Uk7lUMcGbNKqaQvpNmkHxcoqe2Gssq7K86fXxZalSFAvS1l9ddSnRU4zU9yG1WmSGjVi1pxWP7yMod/sUqTKZVg2mLbeLLXDyzlwwrL4ypSULi82dqD+3EgqKEOXwfuPqTRcGybctjysfX2jbfK8LNsulid3v7mklHJFYu3L2pYXQG3J/ahtPU6XtXVZxzyKl52+wUmqBHzjpCLWNMreupDH2p9Fjty/ShMWd9rVHYWRTkX6afJKWX8WMVqdk5mk9PiDyAviwbhnKFtfA20PThLahuwrUbUdWgVZ66xnL0VObMsjhFxg9YfKJaaY3ecqKR9OUgpWBakb/PWERlIrNJvfzFB+2QOmFQPfwExyfJPHLD7sjz8jgOPkY0YZ8mZoWXnoM6LTrIJQHtI6hB0VgL5G+rrqMQerPNR1LLuq4G2GrVy6Wjk1TdBVLcE65eWuS1mUZbbgsMddBzM1x9Hk42zzfegk9f+hK0moFXTOQ98k+WNlOBSZ0JAqabTtQP4D6DOFGx8dfGM3OrYBdPuORZpWsAIrr2EsOctK5OX6w416mCcoKewD10rWIy3rkQfXWIfXW+1Y/gY6OTRVEeeUY7UhNbE/ywrUy7htNkc14dmNkVbTBDYzBUp+6klKV4BaPaGiBWlhgkWF6DqBpPFRNLYD+AZmxVPlQbQUniasWGi49Zl6Tmt7zmp70haftZzbwUA68hshvJIX3r6sh/JihcXEyy8OHJCB6+UE1X/ktGnVKSvVloXlmqS0fZjaNrYft4irY6pIKnWDWBW/paxAUGhT4UFdMXIySIpvbgF31EUFqwMqtM2V+8BqKwxqhPfDNhyndTg4Hk58hsCy+EAisBG1fYg0vq0DpckBEVrtyTawGGFX8ptpVYKqagmOUp05oT4Xo6ysU9c7ZsuVEYl+LlNElQN/0crDVJFUqlLi8GxUrDLJG79AKsvNmzfPVugyJAo6wKJfFFfcTGT4cCJ38oUNiAqZO/7qkSpSfjcrwVhgB4d+a4VlKTC2DzltRfRxQIVl8WFUdwRN4BqK1SfD0chyWcYdILk9zbI3R9XgbLV/OboHyxnh5SmCwcTqPRYRGCOmnDYqJkPrBdPvv//FVJOURVSsLlDJQkXgy5w8dp5uk0JnXu1R42aPpbWNwAoMKLMDuUxLGQq0PaiDFXTYe4ywyqIIxeIDsaHzo1w3qCW+zkyCUKpQqTxIp37w/UF2WKRUBSnLrmw5fpeVX/V4/L6eApJiuW61Y8TUSMzqY4sP6gokhUEqUfHq70jB4gKJoPLHctiCUGB8jBwSq0PXy97OGNxBF7+5bYyPDUQtYJKC0mGLT9uAUIeWKsU5w9pjYpLriuGkhMgQXMLXMvXmmntPNJFnHGWMGm1uF8mt/Ef1P6RIImW3D3Nvlu13HLCaDtqCXpJUzoOo/wi2/BA2LYBtBUJCPx9Yd2iDknUgL0ljpHTJJ7YWPqwG608qX3zCWpbjE/So6EFQPGSLVloCTgtYTVnnqgmZzz03itBSWDpaUH/EERYgW3xo8wIRafLCBPXFIfSuqOqjrQQ1DKx7IOe+iCkm7sqRY93FytR5+njtR415fVdR1k1hKS2ec98nKAEoKQHsPigJJhhLSaFcpLmjIBSGpRxYRbFvrRWVFWwRS/O5cvuOJi+djtmEiNbDOfG10wERvAzRgPhmFkgcY6PheuDcrcqkLjmNwvdPldW0crHu8dxlk0KVfVfJW5ec9P4sIko5FnVIJ+Z05N6LM4n+ULFlsX12Cb0jqbp/Bv5IVL5sVwlgRUFFSTsUCIw/cAjFxRF0CL+GNQYlhUEqOQ1VBcKLqSomM22J6esQuyZlDwuuA+xAkBTOiRuV+fpx52AcG44dyknygJiE8EFMuB4gdf5cQtX2gBiaVmFlZTRdQZS9oVe5B7qInHOx3INh9zdKuy+170Emgel8fVFvvSOpKuA3Dbb7OBqOR1EQcFg2LD4hL6lMxcKSr/Ti42hibSGNChlf9IUNiLHAZD0qZeTFKMsgIoyqDvJiwsJy3YZlWRmpN0UdgIF5TGlZ/bEkzZ2D0U8K5w1VBfKGJSjnJOSP84cdKuBz0+cyCmXk6CbKyCn3hcJyLGIvSGUkUIck/H7+X0w1SQl0BYc0CIsDDGKqCm//bPfhxuRgCB5tnEchR7mafLBv+Y3KWlt/UCqWrYOHitusyuS/thBRJhMWEzuOia8Tt2/hfLEcRItQfChPqE9cP2yj2+L0MfI5VfnP+ZrVhVciYWJv6rxPy7Jv6v8qI6VREBRvO6hIsn3E1JOUBgiK209AKFAHUBuoTAXckVX3k0L0miwXxcBpVNCcZlUF9SHLJQ3CslQVEySPdhHr16HJi+d8Paw08nInYV7P5KxHkBYgjfXW93gsJdhEhdhEGdNYWQyDOu0ilp1m5RkXSep9pY5vFMc0mFLHwEkq8TaGNEezcaQZxvSD3SdW1RNPPPGciD5Jg5gkjTYpnUbFDZsQxISAApAUggtAXrHOwRZhWX24LEIQpNQWp7W6Q3ncpoW2JVZSTLpaSeH6lnWcrPtfd92n7xrqXu/Uf97Ufxi791O2eA5ZNX2PzUzpPdsrkhq28rEsLqutihWETnMlrfsocUQf1I+2/hB0gIoaZbCC0zYXv2FxP6dYdJe29HRgAiusXMQeciYxtu+sjstViFL/b1UxTGRglbyx4697r+ZsNwkSHlck2bjPK6bedLoNBDIT6etUV8W2RbH1iqSqPLyp8Fxd6fONqEOiOcCC+/UgtBrtV1BE3E+KlZQsZyUF9cSh2SlVhbRWVVphWaqKSYPTOOfUg6iDKpjYdfi6nmLbWkEavC+ky/7rNt+PwyiLJvI0jTZU1mVq21I8VY43pbSs8q19W3lGfa/ODGGztgG9IqkclBFVrA2G1Qsi2iTNI6JrwkBaCAX2HI/jB4sPhAWLD21SVtoiLJTHnYNBfjrNIe1MXExY2hJMWSExm1R3/NXklCIti8D0Mt6XlXZMF8oUT2pZrLyUDVi2XufF7zrBPjMtUjWTQO9Jiv/cMhWVIi1WVTKxBZi6abX1ByVmDYeEAAMB2306QENbf5zmIAbuDAt7kW03DhBhG1On+Txib5+a0FOqKFdFaVKq+n839WBPcwXRBiuxLSrW2r5OWXW3GUzpfdh7kqoK603Hsv44v9URGJ1ztQ2HsemgqrhvFEf0afVkBVFo648VG+8zZQNCOeVGCGrijV1DVlKIipQIRnSCxocjZR36mmFCZCQCVFiJ1SGuPmJSZNE1gkqpGsuSS5FB7EU0ti9HM3CSMmDdpFY7lIBHWEBblFXZMzFoSw4ddXWaiYlD0FN2X8z6i9mAIClYkzi+MsKyPHm+VjyEEkhKCEiiH/GpDiYsJiqLpDRRxf6naYFXguWI3Z86jyaVMmsvlq9sX456cJKqYQnqOZMWSCzWfqNtQFZoSAt4lAvdsZctOLb7sA8s5w8Y8sjrICYrzcM5sTLkIY5YVVlvjdra0x9LRIAJ0iB6nseUk0VQOWRVldByy+Rzb7MVFrufR1H+uGERxLB2Xw6x5ZbVBQxafO9OLUnl/imxyopHELfarVDRo90KFTui/6C6kEYkIBQOVI1WOKyeoKrY4uNgjZhiAzHxGIFVVFXK+mOytZQUPnoo802bNhXX47HHHit+Sz5RWlBYUFQxNTVp2y9m97QRZRX4sJXUpAmKf4/K7qt6LHW2123h40Kb792pJamqDya3PaWsP6vy5rBujpxjC80aSFa3FXG7kg47121fICkQlo70syxGTVh6ZIuU9SfgN3VMMbtPSEnIScjo8ccfnyUpWH/4SGJZu5Rbf/2vpOoef0ztaBKziK1s0uX3TVm1CVNNUmVExRaelV+/9XA6Fu2mb3bYbDyorcDqtBtLx6wctvv0iOI6zeMQogwOtY8NaovffJ34fEFOMue2Jp1mC1BbfkxMXL7+nxztxbjtpFHva1SkNAkV1XZMPUnV8etTFmCsHUsPugoSYFXFVpomg1ggBpMHR+7xZ+xTwRKpNNt9nE6RFBMnzhtKCnYeAidESUla5lBVoqhg94miYrvPIixHN9AWO9DRPTROUlKZfOADHwhf+tKXwtq1a8POO+8c3va2t4X3v//9cyrt888/P1x22WVh/fr14bDDDguXXHJJ2HPPPUOXiCqmcFLlMZFxlJzV38oiLIFFWDoNorHCzi3C4nD0MpKKhaZbFijbfYjkA0lx+5RYfpJGmxS246/9likqh8OC1f5UpwxHT0jqox/9aEE4X/jCF8KLX/zicNttt4UTTzwxLFmyJLzrXe8q8nzsYx8LF110UZFnjz32COeee2448sgjw09+8pNi5IVRkYtl3+WUpSvCWJ4UaaWOR6DH/uN12i/X+7PSeiRyHenHnXZh94GM2O7jT7bzuIJWOLq2RXV0H4aKYgJiuy82OkVsil3LLlhYsW2t5aOOzOs6rLahVD6drorUfTgshi1v0MP7o3GS+o//+I/w+te/Phx11FHF79133z18+ctfDrfccsvsRfzkJz9ZKCvJJ/jiF78Yli5dGq655ppw3HHHVdpflRuv6p+XU5HkElvZtlqNWBMHZSAd+ySHHqNPB2VwZ15enlJP+gOEuSQF4kEwBHfsharS/afQlqVD1HMrhnGQ1jCVQWxba3lTlWtfUNYelCKt2LXMtfgtcmoqgKeJe3amh/dH4yR16KGHhs9+9rPh5z//efj93//98MMf/jB873vfCx//+MeL9ffee29hA65YsWJ2G1FZBx98cFizZo1JUlKhyQRs3LhxbG8ZwxAV5y0rm9P8cFlpTVzaHswlL01YTEaxNJctKLP7QDDyG6oJBCT/qawDYYG82OLDthZBpa6ro9+o8hxrstLpMtIDyu6/pu47v39HTFLvfe97CxLZa6+9Zsef+9CHPhSOP/74Yr0QlECUE0N+Y53GqlWrwgUXXNDI8cWsO2u9pYq0Wsi1By0bEOkya9Daj47+Sx0H23myjDsSc1mS5g68+MYTSIpH1qhDUtw+xX2g9MgSMWLKaYvKIbHUdR43umDPVGmjbQuGVaTWPcfrUsrK0XKS+upXvxquuOKKcOWVVxZtUnfeeWc444wzigCKE044oVaZ55xzTli5cuXsbyHB5cuXD3WcTT1QddquYmVYhKXf8kAEPAJFSmlZagtpHkFCB2VYaVZplg2pCVzAbUsgJKgqUVOSRlsVLEH5jfyasPqGUVbsTRFHThltIaiYC8HrrbQFi4h4qvLJGUeLSOo973lPoaZg273kJS8J9913X6GGhKSWLVtWLF+3bl3YaaedZreT3/vvv79ZpgyyKlNbUdUSTK23LAStvjBP2Rb8W3csziEvbRPG8jJJYd98DniQBRwYwUMixYjJI/qGQ1uIYxJKK/Zs6HU5KLv3nJg6RlISTsyVlv7UhETzCVGtXr16lpREGd18883h1FNPDW2CJgZellrO6+rYgFYZnMdSWzFys/bHtpwA4/RpGzFGUlo9WW+sfNw8jh8TEFQVk9EwEX1eMbQXKWJoSu2VlaNf5HL2nbL7qpKRVZZjAiR19NFHF21Qu+66a2H3/eAHPyiCJt7+9rfP3hRi/1144YVFvyiEoIsdeMwxx4S+YBgbMGUN8nLr7dAiJrQlldmDWKaHdrLylD3wMavEIiykBTrNYySWXW9Ht9GU0qpyr+t8Vey+KjafE1SLSOpTn/pUQTrveMc7wsMPP1yQz1/+5V+G8847bzbPWWedVXTePOWUU4rOvIcffni47rrrKveRKrPVUhZDHftBb2PdcMOoqxxSyznG2PGkiCX1QFvrrLJjx8IPLCslHgoqpqD0OcXsltRvvc6yXVP56txHuduk9lOWL3WerJqb3GeXCGqYslMKyso7aZtvkNH9pWybNtnDIyWpRYsWFf2gZIpBLsYHP/jBYmoCsRsy12LI/YNy8tSpnHi9tZ+c5VXy8P71nMsoe/ssuyb6QY+pKqQFsQFkuRyrbCuPhRyC0vnqWFX6muaUbangWLqqsmxin21ElXOx8uY+0xZZ5RDTuEhrpuL9YW3TVvjYfWP+g1JvPCl1ZeWPla+hb9qymzOHkHIfbn1MvCz2uZMyBdUV62TSD/6k9z8uxAgoti6XoCwy0gMf57ShptR/2+/hNmCqSKqqLVP3IU+9xabWW8vLLB1ru7IyYkQZs5PqvnHlkIyVzt02ti/rPLsMr8jykXIDrHxVkLqH61h9VfIPEu3TVW2+Jo9rHJgqkrIw6kpsGIuwrJLNqYRTZetjTD0IyFfnBi5TVGV5UuWkMC6CGiUZtq3CaBs0GXE6pqLKlJSlhKoopGGIqypmevASVoapIqk2v1nnkEkdFVWWJ7bvJh+uFPHkrOflbay023pP9R1lbahWdGpqsu5F3TUi1+bT5Qxz3w5aeM+PE70nKd2AXYWomiC1WFtQWd4YmiQnzj/qB6EKEcXy5Fh8VY+lzrZVLc9clTyJyqjNL25VkLL3UnZf7L/JtZhTqmnY/7PpF8WZjv7PvSepYdpUmvhTU5ZCXV88l+zGScaxY8hZntu+1AY0QVBVyxkl2nIcZYjZdDlBEjHVlBs4wWlWVbkqSqcncS/PdOR/nlqSaiOGuWlySaXMKszJWxc5FmPu8rYQ1DRVDF1ug8q19iyk2qEs+69Ke1Vqeeo4ph29JKlhKgfLghlHo3hsv3pubZuLpqOAypCzn6oP8yQsvlSZdWzkVDmTwLj2X3c/OdvkklaqTH7W9PLY+ZQpKcfw6CVJNYlRPrypsnMtiSqoagMOu5+6+brykFuVXp2KeNKKq0xZNHF8TRJhTvtTjpIqO++Yxdf06Oddud8nBSepjmAUZNXk/qo+aF0nqLYSTtNomliaKifX6kuNPxk7rpTVZ5FV1Wi/Pt73o0SnSarMXy7bton9574pxmw7a9tJ3rDDWoJtIqsuPPhdOMa2IhY0UaaYctqkUki1Q/n/2Tw6TVJtQhnppd7crIdoUjf7OPfrD3R7MOl2sbqoY/dx3hgsBRWbygIpvK1qOMz98FMH0ZYomL7aV6OCX5d2oS3tlHUxrgg/y97TBGXZf+O6Dn1E55VUWSNolYevyajAYcq0buQcmzC2vMq2ucfTFKo0Lg9r0zSNsuuc+n8mcXyj3M8onoNcaJuvzv7KIvpyVFIZIeW8UDuJ9VBJDYucN6txI8cSjC2zllfZtq0Yd+BIDsquc9eucVdQFiDBX5OOfVm6DJZqKrP9yoIodPmjxKBHZDe1JNU2YnKMD9Pyv/f9PGPBEmURfhopxROz9FKkVdZGxfuxlFcTBDPTo/++83Zf1cCFqtuNA3Ui4qocN0cWDovc6MRhowRT+2+6vDaqtLYD5znO58cKeigjqlzkEFWu1VdGNnXvkcEQ27WhngvTTlIpDGPD1P1zR1lZVT2mJm/Q3OjErqBLxzrN161MMWm1BKuPLb8yEsMzGxv5/Nlnn41OvD5m+U0KMx2/x3tPUrkhp2Xb1t3vtLxZOxyjhiaXFEGl7L8YOSGda+ul2qKs6L5Jk1VX0WmSsm64HFtvHEoqZY3F9hGLksq5scdlg43SytP7mSQmvf9xRd2N+1iaOo4YYcUIKcf+q2LrlbU9cXl8/vp6WOscPSKpOu1NVdum6lhZ/EB2Ndy0zW14jumGpaRkev7zn19M2uqzLD8LOeqpzPJLRfjxfhxTRFKjICJrOT8YdaFViCaxpoIbHI6+o8zOs+w/bFclQCIWfl62LhZIEYvu8+e+pyRVRhx1FVaKnMr2GYvwYVLitLbOmrD+cgkyduzjRJsezjYdS5+tv2Ei0LQSyiEpzlu27xRRxVRWSjENc0/1+X6cGpIS5NyEqTxlhMQ3uryR8XK9nfVWJsCNrNPjtAGGCSBxOCZNVNYzqTvwpibr5ZJJR5Zb1h7mv/nNbypZfTkdesuuhaMHJFWmfurk142tfIPrmz3H29aEJGXwupjFN6x6KnszbeohKFNo4wq0iO0zlccxHvUzbDkWwViklbL4Us8rjqEsMCLnkxy6LP6NdBPXZ5DxXKUck7Y4Kb0nqVyCipEQr9OKKfa2hrycZrBikkmANy1903N+q4y6qHpzVimj7rUf5wOgrdSuPIxdVTeTgiaflMVX1hbF6ZitlzMEUu7znSKW3HMflOSt8r+1+ZnoNEmlPOeUOrJsvdjYXxItpNOapLSfLYBNIL9hCUhabAPcyCAv5B/2jcs6d2t5TtmTroCGRdePvy1o43WMqSetpPiZ1tul7D5t5ckzy3Yf/9b5Y6Of5yCWfybxPLeZXJpCr0iKl8fSsRtWkxPSCGnVactO4JtTblh9E8kNDHLDgwH7T9t7o7ABm7JncvbTNrTxmCZ9LdpIQMO+gFkvrmVWX8yiszroppRTmQ1o7bNs+cDv226TVBXfWisfSzUhPW/evNnfOm29pek3M1ZPchPjzQskheV4e2P1hWNkomrqjalLlVJdQh0XEfcBbb1WdY8rZmOl2pv4+dVKylJW1vqcQInU89vWl822oPMklbLycuw8qyOgkBHSW2yxxZw059eKih8AJqann346PPPMM2aaLT9NWkCTRNUV1H0Ip+nhddiItTFpgtL1hH6xlOdUJqR5ri3A2Lh9Opo3dqxVMDNl93inSSq3PcoKVRUw2aRICvk4bbVP8Q2KdfqGZRUFqw/HaSkzfb7DENUoSa4tBNqW45hW64+v/ySVsPWilwqW4HTM0qsa8Ve279TxjgODjjwrnScp3TbEBMQkwmTEth6WQzHJtOWWW0bTWnVZdoH8+XgLk99PPfXUrGrC9pIWSB4mLhAR3vSmUUU5HDkVfEop8UuhFeCAQCZ+UWR1hOcXExwQrags66+sLQrH7pgCkrLahqzIPFY+QkxoW2IrTwgIpDV//vzZ9IIFC4q5/AZhcVuVJinc/Lip5feTTz5ZTJKW7YW05AbHcUpat2OhvKbbpRyOLio8VlgWcbGqiUXnyYR6QZ5N1Al4YWSSkucXzzBeMmWOiddr2y8VTOGYMpLSFpkmqxRhgWhANkJYICakZeI0qyoQHas3fkMDoJqgomQ7PBTcviVzVlO6Ta3sBo9F/Y2S4Nr00LXpWBxxaLKx0mXbx9I5kx57D8+dQI8yoVVYbPw+/q2Pxzp+3UaVOieNabzPO01SPOKxVkxMJCAbSUMxQT2hnUnUE5QVp0VJgaRkuUVSWklpi0/Kkn3JGxeOm6P9oLgE/GaHMrXPX+VGrUJ0DkcbiMpSTRbRsHJitcQWnUx4OZRnEoSkh02ScrGt5IH7Ib9lLttijnKrKCmcS9l1sdKMaXyOO01SOsiByUOIAcQEkpB0iox0WspKkZS2+/CwyE2EG1qWyXabN2+etfhkWxAYCBUEJr+RhmeOBwvLpvFGdUwfUQmQjpEUW3pCGHi28PzKM4hnDJY7yo6RlOSR5/WJJ54ofstcJhAVkxW3U8Xap3Beseug1/uz3SOS0mHkObYeVBUsPgRDII0ACdzkUF6W3cdBGwIcA9+kvE8BSBVz2IG6bS3H7otZfKPEqPeTa/uM41imCVqtp/JNMgTaaouKtUtZ7VNoAwZZcZASdxtJjThRpY+UFexR9Xxnal5va9suPjOdJimoHJAOiASkIwoGth7SMkdatgfxcHqrrbYy7T4OnIBKYxLhG1jetmRbublBSrASBLALBFIe0lKW5MPNPW2BE9PWB6SNSFWM4/5/YkQExwHuhDw/eEGVZw8vefIs45lEezOsd26zFkAVaSX12GOPhccff7xQT1iugyhYTaXIi88rBzNDXO++PEudJinYdRYxgYxg6yEtxIE8cgPzck1SbPExAep+UgKQFN7EZDtE8WEbuZlh5eEGR4UgZeNGlrxMUhZBTQtpOcaPtlRuVtsUKn+03YKkEK0nzxqTlJALnkl+jiU/k1TK7gNJyfPLJMW2n+7gG7P73NabMpIqs/KghtjKY1KTOVt82u7jSL9YZ14GP1C4WQVsEbLNp63KVLRi3QCIJuyZNj1MbTqWabf+RlWOvmctJyEVRKEDKdDmK4SDY9HjcEpZrIa4j1RshIkyy8+6Dtay3Ht6MKX3fqdJauHChbPKCOSCfk2yTBQRbD1JQzHJBCVl2X2w+HRnXh4WSQ+HpD1tkBKTlbxxydsX3v5kP/DGQWDYFu1ZwxAUtnE4ug7c9yAiAVwKgSgarJdnFkSCZxhBTHiRhZvCTgVH9yFYQpZt2rSpUFBQVbIcz7KUq4MnyoirSTU1mIJx/DpNUltvvXVBNCAVuRllGZMU7DtNUmz9IT8rKSYpjhzUiodvPLyBgWDQSItl2Cfan6RsRPlZCksTFOBWn6PvsNQU5mjX5WhaPFOSFhIBmeEZRjsvSArPtYBJCi+ZUgZeKEFMUgbbgNrqKwtB5/PQ6bqY6TlBdZ6kYOmBVNiy43aoWOCEJia2Admi4yhBbcHpNyQeeDZm5aWsPYH1u02o+vamA0Ac/UCdSEzLxuP1Vh5epit5vBBao0xgZAkOToLCQZm8Lz0oNF4gte2XGlC2LOS87Pr03a6fOpLadtttwzbbbFOoJwQ5QEmJYuG0ZfeBpLgzL48+gT5NFtkA/GaH9RhFGf2gQKZs67Fy0u1TbSaoOsfU5nNx1EcT/2duJcx2H35DRYGo4GaAkEBK8uxBGcG2R3SuJimOzoVKEvWEICgEUEgaVh9IsUnSAmb8mel+m5RMQlQgKUnD4tMkhfYpraR47D6rgzArIA0rikd+owyoq9gUU1uWxedw9BExoooFTLDdh2VQTCAsqB4BLD5EAPIINLxftg8RfQvrD21aIC+M7xcLpMBx8dwxhSQlJAPSQWMoBofVIegxW4/7WDFJabtOYIWDxx4uK/RUp611bUGbjqdNxzJtaCrSr+o+2d6LRfqBsOBewLnAHKHpOAe8dHIYuyYpkA0PEM1BEbkjn1vPdJ22qUHNe79Pz0ynSWqHHXYIixcvLhQTSIqtP1h8IDOtnlj2s3qKKRur8ZahQ2KtwSmt0NVUQ6vDMY2wiIotP5ARnhe22eFeILo2p5+jgIMeYh8qhe3HQVL8XMdsvlEGT/Qdz/WvSnDTTTeFo48+Ouy8887FH3zNNdfMWS8X/bzzzgs77bRTQRIrVqwI99xzz5w8jz76aDj++OMLgpF2pZNOOqmIoKkKsfoWLVoUnWAHwhJE+xWiAhEZiAkEBoXFfaSsyDuBfsvjNzw9t9LWxGU5HNOKVMWO58jqF4X2KB5rTyw7aVuSSdqVMKGjLuaYEMWHtqzY6BJln+coOw/HCEhK/sD99tsvXHzxxeb6j33sY+Giiy4Kl156abj55psLYjjyyCOLPxoQgvrxj38crr/++nDttdcWxHfKKadUPZRZcrHIhicQD4/Jx5/giHWwtYIkLLUUG+dLdwRMfXK6LGR12m5oV5X9/E9iZeSUnXo2ckZF55HRedIjm+uBY/VIErlDH/Ex6nSdazStmBkMcSWkAr/66qvDMcccU/yWokRh/fVf/3X4m7/5m2LZhg0bwtKlS8PnP//5cNxxx4Wf/vSnYZ999gm33nprOPDAA4s81113XXjta18b/uu//qvYvgwbN24MS5YsCZ/73OcKJQaLT0gIFh+HnXO/CP7ooe51bnnufBPCXuAGVry5obEVIy1zfwo5XnlTk3yiIqVzoOR95JFHiuWS/vWvfz3bKCvL8ICg8RYPR0xp5TwMVf7qST8gk96/I40m2qdiZZQFDGEZP7Ns3+H51u3LunuILls/6/y84xlEiDq7JFUtvtSy1PK+Pj/CEeKqjaVN6t577w1r164tLD5AyOTggw8Oa9asKUhK5kIsICiB5JebRpTXG97whueUC6kNSKUvgH2H6D4hI3TU5V7lVtuTvlljARCc1m9srKRwA8c+P60/O61HXC5rhB2V3+9wdA3cRsXtUQJE9uFrBLIez7iO1I1Z9dqSB1nxiyK3S6ccEJ12VEejJCUEJRDlxJDfWCfzHXfcce5BzJsXtttuu9k8GqtWrQoXXHDBc5az1cfDnXCYKYeUa2LSQxvxja/Vk9yQiBTiUSRgIaBvBZSU9dG0lKVQhaiqKiJNSDGCcvJy5ILvwbr3TKwMvg9TebCMnxOO9uNoXJ7HupNoktKEhTxlIeapZ9XVU0+j+84555ywcuXKOUpq+fLl4QUveEExQT1xBA+HlMf6O1mdcrVaYrXDHfdATBjDCyQlFp/kQeMrxv6ChSdpdAhEw2zqS58WYVVBlQrECcrRFuS8MPHzwKNIMBlxOLruShIrTz9v3A9S94lsog3KMUaSWrZsWTFft25dEd0HyO/9999/Ns/DDz88ZzuplKWtBttrIABCg4MkEPigx9rLsfVyLT3uK2EpKR5KBWm0K7FyKhtmhQkTx8XHOIqHfZhhi/R21ptwbL2jX8i5l2L3hLXMysP5eH/WcXAUrrWP2PFZRGSlc5RRHfWkz2um5Fr2GY2S1B577FEQzerVq2dJSVSPtDWdeuqpxe9DDjkkrF+/Ptx+++3hgAMOKJbdcMMNRaUsbVdVgP5P1hdzy/o6IY3fTBAx9YQgBgwuKcs5WCKmpBDWiiFW9ACVTasnRg4ZWOH0OdAVQdWGb0f/kHMv5QRM1HnJQhpl6WeH1VZZeXpuLSvbfhjUfSb7iMokJbbVL37xiznBEnfeeWfRprTrrruGM844I1x44YVhzz33LEjr3HPPLSL2EAG49957h1e/+tXh5JNPLsLUpYI+/fTTi6CKnMg+Bvo/8Sc0uO2pbDQITUz4DWICCYGs0JEP7UxYD2KCfYfoPpCUXDO2/kBS+Nonyub9Nk1Wo4A/QI6mUOZwVLH++Hfshalsf7pM6/nLXeYYM0nddttt4ZWvfOXsb7QVnXDCCUWY+VlnnVVUvtLvSRTT4YcfXoSYi+IBrrjiioKYjjjiiIJMjj322KJvVeWDp35OOoJHELMK+CbkCB6O0sNvHhqFrTxWUkhby7lzIffZiH3JM9UpcBjEGqNjFUDs2lXdl6P/yAmiKLsnyspIWX8MbZFZz72lssqOq6pl5wESLeknNSmgn9SDDz5YhLOjv5MgNgisbm+CeuLv0cDm46FP8E0ZIRaoJAQ9aIuP07D12OKD9YfyZTm3W2H/PNwKH3vq7a5Ku1Ud0hklrAqsg7elY8T9p3LKz41krYImichJasL9pMYNHodPA4Qk4I552tbDbx5QUhMT0rDsJK+ktd3HJMXWH4+iDGJCfg7A4B7tbbb5moarLseoVPqonp9RKiVHj0gqNnQR5patx51nrc63+iNnekgVtu+0xaeX6/L0sEnWYLOpxtq+w23C6bD+qpTBsOxqvZ9JPCvjapsaTEk90CuS0n9ebFgTHt0BhAFbjzvigmAQ2AAlhXSZkkKkH3fs5bKxT01YMWtv2uAE5agDf7npNzpNUlBRsPV4qH5NTFZfJk1MUEpIg5jKSApkxB9KYwLkof6h0DhAA6TKak8wrWTlcFSFE1V/0WmSErDy0J/D4DYetviYMGLReyAW7oRr2X2WTchWot5/alj/KsEPKTRtf0zaTnFMr/UXKy/HBsxB2ZidVeAW32jQaZIC4bCth/H10PcISoY//4y0FdDAUXfa7kMQBYZC4jYpSzHxsbDCs9qh2mDz4W2U54wmRqPQ63TZk74GjtEj1h1i3COTpEZFqYqciL7UOetnz9EzkmL7LNaXCaSCj5iBmDhthYbD4uMQdO7My+P4sZLSn/Pg/liWkhqnxRfrJ6L7l00inNjJqv/I7VQ7rsp62P2U3as5YfE+wkRPSYrH1tPRerHx9diei421pzvfcpQfSIr3o209i4xiI5sPY/HFxvaK2SyTUC76rTm3Q6ejX2hCrZSVPcxzUrdsK/+oSW/a0GmSEjUjN4Rl68WGK9JDF6FPlLb+QETcZwrreRw/kBaICepJB0LEBo4d9oas0nu+zW/NDsco0RVV5ughSWFujQSBCDxZhjRGf8AgsGwD6hB0kBQTEw+XZKknmQT8DZomvw/VRaJyOByOqSQpWG2pCL0cWy/WgRfkxHOetEqKWXnjsvVyrb8cOzB1LHXPw+Eoi/gbReBAF+7TLhzjpDCv62M+sWISpSPqiNUTrDxWVWz98Wc2QEw8dh9IjNUT98fSJKXVkyCmoJpWS7GIvJxl44RHMDli6Mt94fd4c+g0SaHtCGQkRMMkhW84pUgKbUs8jh4PNouAC01MrKQ0GTWloEZJVJOEP7yOvsPv8ebQaZLi0R3QZoQ0hiXSn9PASBCpzrd6bD0eY69Ji0+/bZVFwZVFyqXsPk1UHurtmDRi916fK3h/3qaMpOST8/KZDigmKCmtqtgSRGdePXQR97fSHYRjtp628GKWXtnDmNOPQpOStQ8mIouc2qaoHA6Ho9ckJSQkI6HLl28tktIWH2w9a4QI/oSHNegrR+tZbUyxyr8pUrCILEVUWnE5UTkcji6i0yQlxCMkheGKYPFZdp+lmPijh9anM1gxxdqdsIxRJ3qP59Y6q3yeg3z0cVnDHKXSdc/B4WgKufde08N0DQt/ZkaDTpPUI488UtxwoqTQ2RaExZ15MdZeakw97nyrPzrYdJSeTvM3sWJpRow0dXSh3iaHqByOLqAu0fS5vauv6DRJibUnN53M0UdKf+eJR6LQxKQ/laHbm3JU0zAEpckIv/ExR70NQx8fjlu21XYfyqlCVDmBFU5ujrbCQ8D7g06TlKgjuRl5dHIdxRf7hhOPFiEoC4pIpXNgqSMmI/7KMKctNaWJCaqJ1SDOSbbFMouo9DHq5WVE5FGCjkmg7H4rGyMy9fLntne70Hm7T24iqCe29TCaBH9DKsfWsyy+YaEJCiQkc6TnzZs3u0wiFjmPBh+j/gKxHqIpZlVWISqHo09IdeNw9dU+dJqkREEJ0DeKh0Wy+kCx8rBsPUETFl9qUFUmLCYpEJNFUvrNLnaMrKDY+osFU+jjq9tGlcprVQQ5y5woHcMg9/7x+6z96IXdhyg+/tChVk96rD1BrK9T021QbNsxAYl6wu8ttthilqBkOQhLt09pS5I7IUtekLHkRRr5efsmFVOqrNyIRX+DdTgcvSOpjRs3zpKURUx6GKPcMfWafLuybD0Q05ZbbjlLSPPnzy+WyyTLsQ1sQJQlYNJlxSgEjTT2y+1VWoW5tedwONqOTpOUWHvcFqOHMqra5tSUxWf9xjImLZAS1FMsHSMp7lzMwzdBsWE9bD+s4/PLISq34RwOx6TQaZIS5SBAgITukAv1hAoa6aYJKsfiY1sPJCTqCb8XLFhQzGViVSXrtd3H54mIRkljG5y35OfgCWyv26vKwtMdDodjUuhF4AQsLh2xlxpfT6dTy6pCR/GBfGDrgZi23nrrIi0Tp0FYsP60KuNAEB5ZA/uRNPbP7VIIRxewquJzd6JyOBxtQqdJSn8F14rYs0gpRzWlAgGs6LQYUhYf7DyZhJzQRoU5t0/xcUGVsXqEShNSEiAPRw3y8XD/K32udYjKLUGHwzEKdJqkREHB0mKSEnCaMQxB5YaVC5ggQEKw+IR45Pc222wzq6wWLlxYLJdJVBUIzCIpBIjI+aEsqCdE9VnRf5JHygVYaTocDkcb0WmSgmoo+7YTY1iLL6aitEJhtQSVJGmx8mQCMUla1i1evHiWpIS8YAlaJMURfTIklBCdXAuQpP7UiDUMFB9z1WvgcDgc40KnScoKhsBvK51allqe6pwbAxMW93nSNh9PaJOC3YdletQJHIOcv6wXUhJgG1iCiPBLDbM0TBtUru3J+apYpQ6Hw9EbksI8RVB17b0UuNLn/lCw+dBWBOLZaqutigmKSdKihERJQVWJwuJIP62kMOQT2qIQIAHbU7bDKBwcuIFjZOJkm3DYsPucfE5QDodjakgKFawVEMEYVRRfKqLPsvsQuSdtTiAjSTNJSRokhe20kuKBdNHuhUF0eQxDtNkhoAIKC5afVlU4D7f+HA5HW9BpkhqlxZfz1h9bb9l8seg+HeGn07D7+DgxugaTIVt8HNHH6k734UrZfaMgKy7b4XA4ppakUstSy+tAt/UwGXEYOaL4RC3B4hO7TyZZtmjRojl2nxU4geNGuTzKhqgm2V4UlhwHlJtun8J26CfF06gVlJOTw+GYKpKatMUHlAVIwLaTCdF9sP1kQprbqjRJcfQitych0g/h7TIJEISBNiodRKFHV+dzwbVy68/hcEwanSYpHTVmra9SRpOI2X3cf0qP05ey65iksJ4JSwdtaJWUCl7IsTUtq84JzOFwjBqdJ6mcZSnUJShrjD7L7oOSQideVlKinHRa8vE4ftwmxf3BeJQJtvUwLBITnQ7qqHu+TkoOh2Pc6DRJaYy7ErUUiVZMuh8U2qdg/8Giw4TlvA0PDAuCQki5NXK6pcQ0QVUJH/ex/BwOx6TQaZIaRbvTMNafHh6J7TdNHGWEoi272H5yicfJxeFwdBGdJqk2VMCp4ZC0grKUk1ZQiMpDR2ApR8plqy/V3mShrB+Zw+FwtBWdJ6k2VLwWacQsPx7+iPtC8XemtLrifeg0H4PD4XD0DZ0mqaph0qOsyFNEZUX26d+WRcikpKGHgsqd9PajvB7j2I/D4eg3Ok1Sk6wEdfsTtz1ZARM8NJK29nikCVZSlqXHhMOfJ+GvEaOzrv6ECc/HcW0cDodjWMwdFK5jaANBxaZU36jYpJVULGQ8ppK43coipdhAvA6Hw9FWdF5JVUHOpzhSnXtTCkETlBXVlzO2XioQIkVMWlXFluVGRHq4ucPh6KSSuummm8LRRx8ddt5556Iiu+aaa2bXyfA8Z599dnjJS15SDO0jed761reGhx56aE4Zjz76aDj++OOLkb+33XbbcNJJJ4XHHnsstAU50XCWmtJf47UCJaygCcvq0yrKIidt8eEDh5h4bD9NVK6mHA5HL0lKvgS73377hYsvvvg56zZv3hzuuOOOcO655xbzr3/96+Huu+8Or3vd6+bkE4L68Y9/HK6//vpw7bXXFsR3yimnVD74qsECvF2snFgeQEfZ6blWUmWTpcDKVFWMsMosQOu6xFQUz0cJJ0uHw9Go3fea17ymmCwsWbKkIB7Gpz/96fDyl7883H///WHXXXcNP/3pT8N1110Xbr311nDggQcWeT71qU+F1772teHv//7vC/XVJKyKtsnKt2x4JMvmS7VF1bH7UpNFVlyePo9Jj9rhcDgcYw2c2LBhQ1ERia0nWLNmTZEGQQlWrFhRVNI333xz6ApyCIktPOubUbEhjSyy0sTEVp5l9+l1FoHFzsvhcDimInBCvg4rbVRvectbivYnwdq1a8OOO+449yDmzQvbbbddsc6CfCNJJmDjxo3Zx6CVQZUx66oiJ8qvzN7jcsqsSq2kYjaf3nZSUX6poBSHw+EYq5KSIIo3v/nNRcV0ySWXDFXWqlWrCisR0/Lly2uVM4oKMjcEXSutqpF9mlystqZc629ScIJyOBytICkQ1H333Ve0UUFFCZYtWxYefvjhOfnFnpKIP1ln4ZxzzilsQ0wPPPBAsXxUFW5O4AATSoqMYt+M4rH59KgTZUETmnws6y9m9eVELo4CHhzhcDhaYfeBoO65557w3e9+N2y//fZz1h9yyCFh/fr14fbbbw8HHHBAseyGG24oKtCDDz7YLJO/OMvQlTgqwlTgQWzburDG0Espq1T0XpndZ9l3dSIcy36PAq6iHA7HWEhK+jP94he/mP197733hjvvvLNoU9ppp53Cn/7pnxbh5xJaLm/xaGeS9TIM0N577x1e/epXh5NPPjlceumlBamdfvrp4bjjjhs6sm9SFaFFSFVC0MvG6RPEyCll7cXCzx0Oh6O3JHXbbbeFV77ylbO/V65cWcxPOOGE8IEPfCB885vfLH7vv//+c7YTVfXHf/zHRfqKK64oiOmII44oKuhjjz02XHTRRaErqNoOlQo7T7VLWUqxjJysSL4qfcgcDoej0yQlRJOq3HIqPlFVV155ZdVdV9rXuFVVrGNvjHhiEX11YHXQ1elY/6hJEZVH+jkcjt4PMBvDOCu/VJuSZf+lQs5zUNb2lLL42qScnKAcDsfUktSoo/6Qtmy5svapGFmVhaDnBEdYn+5wi8/hcHQZvR0FfVSRfjEiSamjVDuTpcSqIJd8nJwcDkcX0UslNUmk1FGuaorBameqYvdZZVllOxwOR1vgJDUkcoIjrHw5CirVrlTWZypVnsPhcHQFvbX7JoVYO1WTsMhJr7dIzdo+Vm5Tx6eXe8CEw+GoAldSY4740+m6iIWZx8LQq5ZdZ7sy4JxdzTkcjlw4SfVEVeVaglXLHQVcTTkcjlxMDUmNuz1mFBVxjk03SivPFZDD4Rg3pqZNapLj+jWNWJBEzvBHHsXncDi6hKlRUpPAJNVUTth5E/t1OByOUaL3JDUNIy0MGxgxiWvT5//D4XA0h96T1DRhHBV/U21eHjzhcDhy4CTVcQyrhpoiFycdh8MxCnQycGJSNpUV2o2BXKWSlm85/eY3vynS8jHHp59+usjz1FNPhSeffLLIt3nz5uJ7UrJe5rLNFltsUWwnc9lWlmM/sl7mKEPyPf7448Uk6SeeeKJYLutlkn1K2bJOptgn5Mv6VQ3TxuVWnsPhyEVZfdFJktq0aVPr+v44HA6Ho159vmTJkuj6mUEHa25RAw899FBBOrvuumt44IEHwuLFi0MfsXHjxrB8+fJen6PAz7NfmIbznIZzHOV5Sv0tBLXzzjsXny/qlZKSE9pll12KiyeQC9fnm2RazlHg59kvTMN5TsM5juo8UwoK8MAJh8PhcLQWTlIOh8PhaC06TVLz588P559/fjHvK6bhHAV+nv3CNJznNJxjG86zk4ETDofD4ZgOdFpJORwOh6PfcJJyOBwOR2vhJOVwOByO1sJJyuFwOBytRWdJ6uKLLw677757WLBgQTj44IPDLbfcErqMVatWhYMOOigsWrQo7LjjjuGYY44Jd99995w8MkbfaaedFrbffvuwcOHCcOyxx4Z169aFruIjH/lIMVbhGWec0btzfPDBB8Of//mfF+ex1VZbhZe85CXhtttum10v8UrnnXde2GmnnYr1K1asCPfcc0/oEmRMyHPPPTfssccexTn83u/9Xvg//+f/PGfcx66d50033RSOPvroYiQEuT+vueaaOetzzunRRx8Nxx9/fNH5ddtttw0nnXRSeOyxx0IXzvGZZ54JZ599dnHPbrPNNkWet771rcUoPxM5x0EHcdVVVw223HLLwT/90z8NfvzjHw9OPvnkwbbbbjtYt27doKs48sgjB5dffvngrrvuGtx5552D1772tYNdd9118Nhjj83m+au/+qvB8uXLB6tXrx7cdtttg1e84hWDQw89dNBF3HLLLYPdd9998NKXvnTw7ne/u1fn+Oijjw522223wdve9rbBzTffPPjlL385+M53vjP4xS9+MZvnIx/5yGDJkiWDa665ZvDDH/5w8LrXvW6wxx57DJ544olBV/ChD31osP322w+uvfbawb333jv42te+Nli4cOHgH/7hHzp9nv/yL/8y+Nu//dvB17/+dWHbwdVXXz1nfc45vfrVrx7st99+g+9///uDf//3fx+86EUvGrzlLW8ZdOEc169fP1ixYsXgK1/5yuBnP/vZYM2aNYOXv/zlgwMOOGBOGeM6x06SlFyw0047bfb3s88+O9h5550Hq1atGvQFDz/8cHHz3HjjjbM3zhZbbFFUBMBPf/rTIo/cRF3Cpk2bBnvuuefg+uuvH/zRH/3RLEn15RzPPvvsweGHHx5d/9vf/nawbNmywd/93d/NLpNznz9//uDLX/7yoCs46qijBm9/+9vnLHvjG984OP7443tznroCzzmnn/zkJ8V2t95662yeb3/724OZmZnBgw8+OGgbgkHE1kul5LvvvvvGfo6ds/vkUxS33357IbF5LD/5vWbNmtAXbNiwoZhvt912xVzOWWQ4n/dee+1VDLDbtfMWO++oo46acy59OsdvfvOb4cADDwxvetObCuv2ZS97Wbjssstm1997771h7dq1c85TxjAT27pL53nooYeG1atXh5///OfF7x/+8Ifhe9/7XnjNa17Tq/Nk5JyTzMX+knsAkPxST918882hq/XRzMxMcV7jPsfODTD7q1/9qvDCly5dOme5/P7Zz34W+gAZ5V3aaQ477LCw7777Fsvkwdhyyy1nbxI+b1nXFVx11VXhjjvuCLfeeutz1vXlHH/5y1+GSy65JKxcuTK8733vK871Xe96V3FuJ5xwwuy5WPdwl87zve99bzHIs7xI4NtoH/rQh4p2CkFfzpORc04yl5cTxrx584oXzi6e95NPPlm0Ub3lLW+ZHWB2nOfYOZKaBojSuOuuu4q30j5Bhvp/97vfHa6//voi4KWvkJcMecP88Ic/XPwWJSX/56WXXlqQVF/w1a9+NVxxxRXhyiuvDC9+8YvDnXfeWbxcSUN7n85zmvHMM8+EN7/5zUWwiLx4TQKds/t22GGH4q1NR3zJ72XLloWu4/TTTw/XXntt+O53v1t8jgSQcxOrc/369Z09b7HzHn744fAHf/AHxVuXTDfeeGO46KKLirS8jXb9HAUS9bXPPvvMWbb33nuH+++/v0jjXLp+D7/nPe8p1NRxxx1XRIL9xV/8RTjzzDOLSNU+nScj55xkLvc5Q76SLdFwXTrvZ/4/Qd13333FiyV/pmOc59g5khLL5IADDii8cH5zld+HHHJI6CrkTUUI6uqrrw433HBDEdbLkHOWz8vzeUuIulR8XTnvI444IvzoRz8q3rgxieIQewjprp+jQGxa3X1A2m122223Ii3/rTzIfJ5im4mX36Xz3Lx583M+VicvkPI89uk8GTnnJHN50ZKXMkCeabku0nbVJYK65557wr/+678WXSkYYz3HQUdD0CWa5vOf/3wRZXLKKacUIehr164ddBWnnnpqEdb6b//2b4P//u//np02b948JzxbwtJvuOGGIjz7kEMOKaYug6P7+nKOEgk1b968IkT7nnvuGVxxxRWDrbfeevClL31pThiz3LPf+MY3Bv/5n/85eP3rX9/60GyNE044YfDCF75wNgRdwpl32GGHwVlnndXp85To0x/84AfFJFXkxz/+8SKNyLacc5Lw7Je97GVFF4Tvfe97RTRrm0LQNyXO8emnny7C6nfZZZeiOwzXR0899dTYz7GTJCX41Kc+VVRm0l9KQtIlVr/LkBvFmqTvFCAPwTve8Y7BC17wgqLSe8Mb3lDcOH0iqb6c47e+9a3BvvvuW7xM7bXXXoPPfvazc9ZLKPO55547WLp0aZHniCOOGNx9992DLmHjxo3FfyfP4YIFCwa/+7u/W/S94Yqsi+f53e9+13wWhZRzz+mRRx4pKmzpN7Z48eLBiSeeWBBDF87x3nvvjdZHst24z9E/1eFwOByO1qJzbVIOh8PhmB44STkcDoejtXCScjgcDkdr4STlcDgcjtbCScrhcDgcrYWTlMPhcDhaCycph8PhcLQWTlIOh8PhaC2cpBwOh8PRWjhJORwOh6O1cJJyOBwOR2vhJOVwOByO0Fb8X9Wtg+hHmLNbAAAAAElFTkSuQmCC", "text/plain": [ "
" ] @@ -1048,7 +1050,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 24, "id": "1d1dd13a", "metadata": {}, "outputs": [], @@ -1068,6 +1070,7 @@ " rotation=(0, 0, 0),\n", " max_chain_bend=0,\n", " max_bacillus_bend=0,\n", + " refractive_index=1.38,\n", " **kwargs\n", " ):\n", " super().__init__(\n", @@ -1077,6 +1080,7 @@ " rotation=rotation,\n", " max_chain_bend=max_chain_bend,\n", " max_bacillus_bend=max_bacillus_bend,\n", + " refractive_index=refractive_index,\n", " **kwargs\n", " )\n", "\n", @@ -1189,13 +1193,13 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 25, "id": "015a12a6", "metadata": {}, "outputs": [ { "data": { - "image/png": "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", + "image/png": "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", "text/plain": [ "
" ] @@ -1230,7 +1234,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 26, "id": "43ed1a82", "metadata": {}, "outputs": [], @@ -1252,13 +1256,13 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 27, "id": "6c2712ef", "metadata": {}, "outputs": [ { "data": { - "image/png": "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", + "image/png": "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", "text/plain": [ "
" ] @@ -1284,7 +1288,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 28, "id": "6cd544ec", "metadata": {}, "outputs": [], @@ -1302,6 +1306,7 @@ " n_coccus=5,\n", " rotation=(0, 0, 0),\n", " max_chain_bend=0,\n", + " refractive_index=1.38,\n", " **kwargs\n", " ):\n", " super().__init__(\n", @@ -1309,6 +1314,7 @@ " n_coccus=n_coccus,\n", " rotation=rotation,\n", " max_chain_bend=max_chain_bend,\n", + " refractive_index=refractive_index,\n", " **kwargs\n", " )\n", "\n", @@ -1403,7 +1409,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 29, "id": "8237d583", "metadata": {}, "outputs": [ @@ -1444,7 +1450,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 30, "id": "ccf5786c", "metadata": {}, "outputs": [], @@ -1465,13 +1471,13 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 31, "id": "8edbfff0", "metadata": {}, "outputs": [ { "data": { - "image/png": "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", + "image/png": "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", "text/plain": [ "
" ] From 9d4e85592e21213dbeec7b60a39e4d5baa48a654 Mon Sep 17 00:00:00 2001 From: mirjagranfors Date: Fri, 12 Sep 2025 10:45:40 +0200 Subject: [PATCH 3/5] update tutorials custom scatterers --- ...ipynb => DTGS171A_custom_scatterers.ipynb} | 684 +--------------- .../DTGS171B_custom_scatterers_bacteria.ipynb | 756 ++++++++++++++++++ 2 files changed, 759 insertions(+), 681 deletions(-) rename tutorials/1-getting-started/{DTGS171_custom_scatterers.ipynb => DTGS171A_custom_scatterers.ipynb} (58%) create mode 100644 tutorials/1-getting-started/DTGS171B_custom_scatterers_bacteria.ipynb diff --git a/tutorials/1-getting-started/DTGS171_custom_scatterers.ipynb b/tutorials/1-getting-started/DTGS171A_custom_scatterers.ipynb similarity index 58% rename from tutorials/1-getting-started/DTGS171_custom_scatterers.ipynb rename to tutorials/1-getting-started/DTGS171A_custom_scatterers.ipynb index 0a19026ed..6176f8d02 100644 --- a/tutorials/1-getting-started/DTGS171_custom_scatterers.ipynb +++ b/tutorials/1-getting-started/DTGS171A_custom_scatterers.ipynb @@ -5,9 +5,9 @@ "id": "9f061bf4", "metadata": {}, "source": [ - "# Creating Custom Scatterers (including Biological Scatterers)\n", + "# Creating Custom Scatterers\n", "\n", - "TODO: add link to Colab" + "\"Open" ] }, { @@ -27,7 +27,7 @@ "source": [ "DeepTrack2 allows you to simulate microscopy images be generating scatterers, which are abstract representations of objects that scatter light. These scatterers can then be passed through an optical model to produce images.\n", "\n", - "In this tutorial, you will learn how scatterers are defined in DeepTrack, how to create a custom scatterer of a specific shape, and how to defince scatterers inspired by biological structures." + "In this tutorial, you will learn how scatterers are defined in DeepTrack, how to create a custom scatterer of a specific shape. The examples are implemented in NumPy, but the same approach can of course be applied analogously in PyTorch." ] }, { @@ -813,684 +813,6 @@ "\n", "plt.imshow(image, cmap='gray');" ] - }, - { - "cell_type": "markdown", - "id": "8eed90ca", - "metadata": {}, - "source": [ - "## 3. Biological scatterers: Bacteria\n", - "\n", - "In addition to simple geometric scatterers, DeepTrack also makes it possible to describe biological structures with more complex shapes. The examples below show how common bacterial morphologies can be represented as scatterers. These implementations are not intended as exact models of bacterial structure, but rather as demonstrations of how such scatterers can be created and adapted. You can use them directly, or take them as inspiration to design custom scatterers that fit your own application." - ] - }, - { - "cell_type": "markdown", - "id": "13fc21db", - "metadata": {}, - "source": [ - "### 3.1 Bacillus\n", - "\n", - "Rod-shaped bacteria (bacilli) can be represented by combining a cylinder with hemispherical caps. The example `Bacillus` class below also includes the option to add bending along the length of the rod, which can make the shape look more natural." - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "dae956e8", - "metadata": {}, - "outputs": [], - "source": [ - "class Bacillus(dt.Scatterer):\n", - " __conversion_table__ = ConversionTable(\n", - " radius=(u.meter, u.meter),\n", - " length=(u.meter, u.meter),\n", - " rotation=(u.radian, u.radian),\n", - " )\n", - "\n", - " def __init__(\n", - " self,\n", - " radius=0.5e-6,\n", - " length=2e-6,\n", - " rotation=(0, 0, 0),\n", - " max_bacillus_bend=0,\n", - " refractive_index=1.38,\n", - " **kwargs\n", - " ):\n", - " super().__init__(\n", - " radius=radius,\n", - " length=length,\n", - " rotation=rotation,\n", - " max_bacillus_bend=max_bacillus_bend,\n", - " refractive_index=refractive_index,\n", - " **kwargs\n", - " )\n", - "\n", - " def _process_properties(self, properties):\n", - " properties = super()._process_properties(properties)\n", - "\n", - " # Ensure radius iis scalar\n", - " radius = np.array(properties[\"radius\"])\n", - " if radius.size > 1:\n", - " radius = radius[0]\n", - " properties[\"radius\"] = float(radius)\n", - "\n", - " # Ensure length is scalar\n", - " properties[\"length\"] = float(properties[\"length\"])\n", - "\n", - " # Ensure rotation is 3 values\n", - " rotation = np.array(properties[\"rotation\"])\n", - " if rotation.ndim == 0:\n", - " rotation = [rotation, 0, 0]\n", - " elif rotation.size == 1:\n", - " rotation = [rotation[0], 0, 0]\n", - " elif rotation.size == 2:\n", - " rotation = [rotation[0], rotation[1], 0]\n", - " properties[\"rotation\"] = tuple(rotation)\n", - "\n", - " return properties\n", - "\n", - " def get(\n", - " self,\n", - " *ignore,\n", - " radius,\n", - " length,\n", - " rotation,\n", - " max_bacillus_bend,\n", - " voxel_size,\n", - " **kwargs\n", - " ):\n", - "\n", - " # Determine grid size\n", - " rad_ceil = np.ceil(radius / np.min(voxel_size[:2]))\n", - " len_ceil = np.ceil(length * 0.5 / voxel_size[2]) + rad_ceil\n", - " ceil = int(max(rad_ceil, len_ceil))\n", - "\n", - " # Create the grid\n", - " x = np.arange(-ceil, ceil) * voxel_size[0]\n", - " y = np.arange(-ceil, ceil) * voxel_size[1]\n", - " z = np.arange(-ceil, ceil) * voxel_size[2]\n", - " Y, X, Z = np.meshgrid(y, x, z)\n", - "\n", - " # Rotate the grid\n", - " cos = np.cos(rotation)\n", - " sin = np.sin(rotation)\n", - " XR = (\n", - " cos[0] * cos[1] * X\n", - " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", - " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", - " )\n", - " YR = (\n", - " sin[0] * cos[1] * X\n", - " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", - " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", - " )\n", - " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", - "\n", - " # Apply wave-like bending along the lenght of the bacillus\n", - " bend_amp_x = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", - " bend_amp_z = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", - " lateral_offset_x = bend_amp_x * np.cos(np.pi * YR / length)\n", - " lateral_offset_z = bend_amp_z * np.cos(np.pi * YR / length)\n", - " XR -= lateral_offset_x\n", - " ZR -= lateral_offset_z\n", - " \n", - " # Cylinder mask\n", - " cyl_mask = ((XR**2 / radius ** 2 + ZR**2 / radius ** 2) < 1) & (\n", - " np.abs(YR) < (length / 2)\n", - " )\n", - " # Hemispherical caps\n", - " cap_mask = ((XR**2 + ZR**2 + (np.abs(YR) - (length/2))**2) < radius**2)\n", - "\n", - " # Combine the cylinder with the end-caps to form the full bacillus shape\n", - " mask = cyl_mask | cap_mask\n", - "\n", - " return mask.astype(float)" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "a1696c4c", - "metadata": {}, - "outputs": [], - "source": [ - "bacillus = Bacillus(\n", - " position=(64, 64),\n", - ")\n", - "\n", - "optics = dt.Fluorescence()\n", - "\n", - "pip = optics(bacillus)" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "408f26a0", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAakAAAGhCAYAAADbf0s2AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjEsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvc2/+5QAAAAlwSFlzAAAPYQAAD2EBqD+naQAALWNJREFUeJzt3Q2MVNX9//GzPC0I7CJYdkFBUUnwWQRF0MQ0bIrWqijVQmilSDRVVBAfAA0a68MSbazaWq2mVRNRlFRQSbWhQEGaFRAURRQxbpCACxW6uzwuD3v/+Z7/70zO3N47D7t3Zs6deb+S49y5c2fm3nG5nznnfu+dMs/zPAUAgIM6FHoFAAAIQ0gBAJxFSAEAnEVIAQCcRUgBAJxFSAEAnEVIAQCcRUgBAJxFSAEAnEVIAQCcVbCQeu6559Qpp5yiunbtqkaMGKHWrFlTqFUBADiqICH15ptvqhkzZqiHHnpIrV+/Xp133nlqzJgxateuXYVYHQCAo8oKcYFZ6TldeOGF6o9//KO+39raqgYMGKDuuOMONWvWrLTPl+V37NihevbsqcrKyvKwxgCAKEn07N27V/Xv31916BDeX+qk8uzw4cNq3bp1avbs2Yl5soI1NTWqrq4u8DktLS26Gdu3b1dnnnlmXtYXAJA727ZtUyeddJI7w30//PCDOnbsmKqqqkqaL/cbGhoCn1NbW6sqKysTjYACgOIgI2Kxr+6TXldTU1OiSfICAOIv3SGbvA/3nXDCCapjx45q586dSfPlfnV1deBzysvLdQMAlJa896S6dOmihg0bppYuXZpUCCH3R44cme/VAQA4LO89KSHl55MmTVLDhw9XF110kXr66afV/v371eTJkwuxOgAARxUkpH7xi1+o//znP+rBBx/UxRLnn3+++uCDD/6nmAIAUNoKcp5UezU3N+sqPwBAvEkxXEVFRbyr+wAApYmQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgCUTkjV1taqCy+8UPXs2VP17dtXjR07Vm3evDlpmUOHDqmpU6eqPn36qB49eqhx48apnTt3Rr0qAICYizykVqxYoQPoo48+UkuWLFFHjhxRP/nJT9T+/fsTy9x1113qvffeUwsWLNDL79ixQ1133XVRrwoAIO68HNu1a5cnb7NixQp9v7Gx0evcubO3YMGCxDJffvmlXqauri6j12xqatLL02g0Gk3Fusn+PJWcH5NqamrSt71799a369at072rmpqaxDJDhgxRAwcOVHV1dYGv0dLSopqbm5MaAKD45TSkWltb1fTp09Ull1yizj77bD2voaFBdenSRfXq1Stp2aqqKv1Y2HGuysrKRBswYEAuVxsAUAohJcemNm7cqObPn9+u15k9e7bukZm2bdu2yNYRAOCuTrl64dtvv10tXrxYrVy5Up100kmJ+dXV1erw4cOqsbExqTcl1X3yWJDy8nLdAAClJfKelOd5OqAWLlyoli1bpgYNGpT0+LBhw1Tnzp3V0qVLE/OkRP27775TI0eOjHp1AAAx1ikXQ3yvv/66euedd/S5UuY4kxxL6tatm76dMmWKmjFjhi6mqKioUHfccYcOqIsvvjjq1QEAxJkXsbAyw5dffjmxzMGDB73bbrvNO/74473jjjvOu/baa73vv/8+4/egBJ1Go9FUSZSgl/1fsMSKlKBLjwwAEG9SDCcjamG4dh8AwFmEFADAWYQUAMBZhBQAwFmEFADAWYQUAMBZhBQAwFmEFADAWYQUAMBZhBQAwFmEFADAWYQUAMBZhBQAwFmEFADAWYQUAMBZhBQAwFmEFADAWYQUAMBZhBQAwFmEFADAWYQUAMBZhBQAwFmEFADAWYQUAMBZhBQAwFmEFADAWYQUAMBZhBQAwFmEFADAWYQUAMBZhBQAwFmEFADAWYQUAMBZhBQAwFmEFADAWYQUAMBZhBQAwFmEFADAWYQUAMBZhBQAwFmEFADAWYQUAMBZhBQAwFmEFADAWYQUAMBZhBQAoHRDau7cuaqsrExNnz49Me/QoUNq6tSpqk+fPqpHjx5q3LhxaufOnbleFQBAzOQ0pNauXav+/Oc/q3PPPTdp/l133aXee+89tWDBArVixQq1Y8cOdd111+VyVQAAceTlyN69e73Bgwd7S5Ys8S677DJv2rRpen5jY6PXuXNnb8GCBYllv/zyS09Wpa6uLqPXbmpq0svTaDQaTcW6yf48lZz1pGQ478orr1Q1NTVJ89etW6eOHDmSNH/IkCFq4MCBqq6uLlerAwCIoU65eNH58+er9evX6+E+v4aGBtWlSxfVq1evpPlVVVX6sSAtLS26Gc3NzTlYawCAayLvSW3btk1NmzZNzZs3T3Xt2jWS16ytrVWVlZWJNmDAgEheFwBQYiElw3m7du1SF1xwgerUqZNuUhzx7LPP6mnpMR0+fFg1NjYmPU+q+6qrqwNfc/bs2aqpqSnRJAgBAMUv8uG+0aNHq88//zxp3uTJk/Vxp5kzZ+peUOfOndXSpUt16bnYvHmz+u6779TIkSMDX7O8vFw3AEBpiTykevbsqc4+++yked27d9fnRJn5U6ZMUTNmzFC9e/dWFRUV6o477tABdfHFF0e9OgCAGMtJ4UQ6v//971WHDh10T0oKIsaMGaP+9Kc/FWJVAAAOK5M6dBUzUt0nBRQAgHiTOgMZUQvDtfsAAM4ipAAAzirIMSmglMkFl3MlhqP3QEr0pAAAziKkAADOYrgPcGzIrhDrxTAhXEVPCgDgLEIKKJJeVHu3qRi3C/HHcB8QoFA7bBl2K2RYmPe218NMMySIQqAnBTjEld6MvR6urBNKEyGFkmaGueyWir83IffteeZ+Nr2OtvRQzHNSPTeTZbJ5btBnRYAh1xjuA3xS7Xj9j9n32zpU157nZLKu/mUyWc9MXh/IB3pSQETiskOPy3oCgp4USgI75vx/thRaIAr0pAAAziKkAADOYrgPRasQQ3yphr5yffXzTF8/6mG4sPf2F5UAbUFPCiiCwHThBGAgFwgpAICzGO5D0cjlN/pi6i1ksy1RDdMFvSdDgMgEPSkUBVcCih0vEC1CCrHnUi/HpXUBigHDfYitVIHQlmq6fAVMuksptbUSMBe9uPaeqJtqW6j+QyboSaEoxaVHk650O0zQTt3FbXZxnRAvhBQQQ+z8USoY7kPJ7ZxdeY1caM96ZTPkFvX1+hj6QxhCCihwQLX19aLemfPru3ARw31ADAPKPNel9QFygZ4UnJeP4blCVwK2p5ovqnXJ9vXSFW8w9IcoEFIoeZnslDMpo871OuRKWDilCwiGB5EPDPehpBU6oNozZBfVcF97to/hQeQaPSk4KVc736h3yIXsSUU13Bd2QnG6107XA2PoD1EgpFAysg2oqOa3VboddFTl5kHvk8nQX9hwH8OAiBLDfShK/p1sLoMoH1V2uXj9KHqamc5nWBBtRU8KRSWTHW97d86F6klF+fqpekyZDv2lG9bz96joYaEtCCkUtagKIwoZVlG+ZibBErRsW4f1CCa0FyEFZ7TnauDpQiSKICr0MapC9Jwy6UVlE3KZFEKE/X8n8EoTIQUntXd4K5twyTScCt2bao9sekNhy4YN3WXy2m0NGP/fgZkmrEoHIQUnZbOTT3XMKdsD+2HP9RcaRHEMK9dS9VTSzZdpOyD80/7nRBlUmXzOKB2EFGIrm+G5VKHiD6iwXpRLx6gyEdXwWFBYtXVIMNuhP4CQQtHIJqD84WS3sMf90+leP9065kq6obqw+WbavvVP2z2soGlbqnAilJApQgolE1D2dIcOHRL3g6al2fOzCa2g90s1r9AhlSqUzHRra2tinkwLM89MB70fQYX2IqRQUNnutNMtny6gMnnchJM/vDINKBeG/bI5HpWqx2QCyGyrmRapjldlG0jZDv0xVFg6CCkUvaBQkdDp2LGjnpZbE0j+aX+vKt2wYKr3T7d+bZFuB50urFIFlOkpya2ZPnbsmG5Cbv3LBA0DAu1BSCH2MtnJ22EjJIBMCHXq1ClpWpodWHbLdBiwLeuXrUwCINOek5m2Q0dCyEwfPXo0EVJmWm7NMia4/MOAQHsRUiipocKwYT3T/OFlljHBZcLLfj1XQyqb41BBvSfTEzIBZA//ybR8NvaymQzxRVXd197z6BAfhBSKRtAxJn8hhAmgzp07J0JIpqXJdJcuXZLmm96UmWf3qOyemT+gXKvu88/3H3My9/29J3Nrpo8cOaIOHz6cmJYmy8utHWrSzDGsVGXrbUVAlY6chNT27dvVzJkz1fvvv68OHDigTj/9dPXyyy+r4cOH68flD/Shhx5SL730kmpsbFSXXHKJev7559XgwYNzsTooAf6A8PeYhASOHUASSCaYpMnj5eXliemgwPIftwob+vOvU9i6Fjqgwob45FaCxx9MLS0t+jMx07L9dmWfv+hC+B8XHK9CwULqv//9rw6dH//4xzqkfvSjH6ktW7ao448/PrHME088oZ599ln16quvqkGDBqk5c+aoMWPGqE2bNqmuXbtGvUooIamq98KG+MxxKAkf06uyp/29KhNW5vn26/vfN2hd8iHTggl/ebl97Mm/vCmOMAUTdo/JfBbZDP0BmSjzIv7rmTVrlvr3v/+tPvzww8DH5e369++v7r77bnXPPffoeU1NTaqqqkq98soravz48Wnfo7m5WVVWVka52ohhCXqqEnM7jOwhPtN7kh6TfCGSx4477rikaXlMpmWevbwdUv6hv6gq/fJxnpS/JxVUICG30nuSx+T20KFD+vGDBw/qJvPNtJkvPSuZluXt1/GHYdg6pVr/bLcX8SH7/4qKivz1pN59913dK7r++uvVihUr1Iknnqhuu+02dfPNN+vH6+vrVUNDg6qpqUk8RwJnxIgRqq6uLjCk5I9fmh1SQBh/qbjdYzI9IxNSMk+CSZpMd+/eXXXr1k0HkdyacJJbM/RnF1SEFVGYeWHrV8iAMrf+8DCVeyas5N+czJNbE0zmWJ7pQflL0c20XVxhLwtkK/KQ+vbbb/XxpRkzZqj7779frV27Vt155536G+mkSZN0QAnpOdnkvnnMr7a2Vj388MNRrypioj3DZ2GBZY5PmVuz8zVDfDJtH59KFVLpelL5CKtMj0Wl6knJrWyPKYQQ9jlRJsRMkYQZAhXmczVFEvaxKjPcZ7Y3l1V/KD6Rh5T8YUqBxOOPP67vDx06VG3cuFG98MILOqTaYvbs2Tr07J7UgAEDIltnxIt/5+4PBn8o2cUPpmckvSTpNcljMtTQo0cP/XjPnj2TelVmGNCElF184a/0C1qPoPXNdvts2ey0wwLK3Por+uyelASR6UnJUN/+/fv1tHwO8jnJcuZ4nD2kZ8LMHJsKOmcqk/J0IGch1a9fP3XmmWcmzTvjjDPU3/72Nz1dXV2tb3fu3KmXNeT++eefH/ia8g9DGpBND8ruNdml5hIyEj4SVHJfwkjCyQSW3Jf5Elx2SNlFFJn0pFwLqaCelP9qEnZFnwkpGeozQ3x2MJlAMqXo0mS+WdaEnv05pFt/ggo5Dymp7Nu8eXPSvK+//lqdfPLJelqq+SSoli5dmggl6RmtXr1a3XrrrVGvDhwU1TBX2DBgUFikG+6zh/pM6bm/NN3ukaU7JuU/PpWrz8CWaufuLw0POyZlhunM0J0JG/kcJHDMZyTM5yfLBxWT2C2o0i+qYT2GB4tb5CF11113qVGjRunhvhtuuEGtWbNGvfjii7qZP6jp06erRx99VJ8XZUrQpeJv7NixUa8OSkRQ0YL/KhJmuE92rtKLkmE9M8QnPSjZEffq1SvRq5JbU1wRNNxnl7Rn24vKZ0iFHYtKVThh96TkXEczxGdCWR63j1FJRZ/pTZlpYX9O9om9qdYXyGlIXXjhhWrhwoX6ONJvf/tbHUJPP/20mjhxYmKZ++67T49x33LLLfpk3ksvvVR98MEHnCOFdgvrOdnVfebWFEbI350JLLk1x6rsSj8TVumq+4Kmw9bTtZCyrzIhISOfh+ldmXJyU5ouj8swoHyG9pU6ZDnzpcBU99nnTwEFP08qHzhPKt781V6ZLJ/JdFCxhF1qLqEjPSbZ+crJ5dJk59qnTx89LfN79+6te1Cmh2VCyj4mZa7jl+pkXldCKt1xqaCQMtV9UjBhelL79u3T8+ScFvliKUG1Z88e3WT+7t279WNmGXmOvJYEmTnOZQIw6KoU2Z4zFfb3E8PdWclryvd5UkAmcrGTDjsOZb7Z+487mZN1JYikybT0pKRgwt+TCitBDzs/ypWQsuf7Q8qe5+9JmaE9+/iU3ZOSz0ACSD5D05PyH6syPal0x+fagl5Z6SCkUFTCytCDjlHZBROmSMI0ezjQhJR9sVn7tf3va79/qnXMhVRBFRRQwu5JBRVOSDDZ1zmUz0YeM5+dLG+CyQwP+gso7O2mgg/ZIKRQ1FJV+fnn2UEWdD/oN6XCdsJhw5JB6xaFoIo5e755zAyT2bcmkPyv4z+mF9SCPsOg7aLng7YipFB0wqrt/Dtd06Oye1b+Xpa/TF1ew+5JpTsOlUlY5UK6YzxBx6fM+vnLz83220URpoVdyzBVYAHZIKRQUEEHwLMpqkgnLKzCelZhPYWwHlRYUJn7QdP5YA+phU37mXAyw33mvn/bgz6XVL2pfPQYUbwIKRRULoeGUp3Aale1memwJutjXyTV7JztoTJ7CM0sk+4E1kL2ooI+n1Sfgb/Zn1nQ55lJhV5bmM8vyi8ycBshhaLjH77yB5N9fTkzbTdzKR9z6R9hQiqs+CDouJR965/Ox2fgn05VOGFu7Z/YMNvvv7Wb//P0B1WuCiQIqNJBSKGohfUaUvWo/LeyQzQ7YGGfnOrfCaf6hu8vYsjVtobND+vhBG17ql6SvzflD6Wg9aCaD21FSKGohIWQCRrTI7B/csJcAkiWlVs5iVVKq+XWvqqEKa82vSr7mIxIV0RhK3RI2bdhJ/PaV0GXaTNPzpMyzb6wrL9HZQeY/z2BTBFSKBr2sSH/8J4w4STL+H9tVk5KlcfMVc/N1SXkuVLZZq7ubS4wG1Y04FpI+XtO2VwWyb52n1xxQh6Ty5nJffP5mdAyQWUPE9o/hkgwoa0IKRSVsB11WIGEfRxKQscOMvuYlPlJDhOE9kmvYdWDRj6CKtteVFBPynwO9nS6Y1Kpek9hhRpANggpFJ2gQBJmiM8e1rOv8m0uqirMrcwLu8Bsqh89bGvBRCbLZrOjD+pJ+QPE/OihvydlPh/paZpr98mtmZbPTZaRnpQZDrSH/oKG/NqyDShthBSKgr/Kzq5cM9ehMz8jIfNk5yo7WXNpH3sYz/xukj38Z4eUWT6uIWVP+0PK/tFDMxwqn5MM88nnsXfvXt3kcZln5puhP/NFwISdv8Ai2/UHCCnkXVRVbv5gMvNMCzo+5S87N6FkhvhMb0BIoNk9J/PjfvJamYZU1AHl3/Zslk11TMo0O6TMb0aZcLd/hTeoRD2sBD2oojDbbYjqs0D8EFKIlVQl3v7l7FCS++YK3hI08s3fvuyRMBdOlZ2wzJdlzYVlw3700ByrCgumQhdO2PPDhv7M5xP2o4em12kKJ+yhPzPf9KRMkIWFVlu3AaWLkELsg8ruNdm9J2GHlOw87WvN2eXl5kreZocr8+0f9Uv1o4fpelAuFE7Y02HHpOzCCTuk5FbCyBy/M8EkISWhZZep2yX+9jBfJj0oAgpBCCnEcngwkx5V2JCWfc6Uv6DCFEqYnpQwQWSfJ5WqJ2Wvp3/a5ZAKKkGXaVNibg/3hVX4BQVT2NBfuvUEBCGFouM/JmWCyZSZ29fhM78HZa72LTtg80N+5kcR7Z9Hl+fZPamgY1K5viZhpp9BqnlhAW7CxgyNmpCyh/6kh2mq/kwFoKnus4/5+QsmgLYgpFCU7OE+YULEDPnZIWX3oExVm/npeRNI5scPTe/JH1L2e5jpIPm+wGzQPH8vx+4B2dfjs4soTOGEfRK0BJPd25Jmjv2FXW0CyBYhhaJiDwP6p4Oq/Mxwl33cyoSPfaVzYf8Olf+ySIU4gTfVZ5Buvv/zCOpR2UOgdmCZEAo6iTfTa/m1Z9u4uGxpIaRQFPyBZJielDDHoMxy5ooRZucr06ayz5wPZQIp7ARe++fj/TvPTHamUexw04VAWM8qqPmPT5mekR1YpsdkwstM21erMJ97WG+qrcFFQJUeQgpF3Yuyj0mZHbA9374+nzluFRRMdu/JVASmO4k3l4HVnnLuVEUN/qE/f0/TVO7ZF+v1L5Pq0kiZrjtgEFIoqqq/VMuGDf35K/fs1zMhZV+nzzwnk+NQ6darvT2DtoZVUKWf/+c47NAJCqxUQ3tU8SEqhBRKhtmx2vftcnS7AtA+LmX3mIKa0dZeVFuDqr0BlUmvStjl+iakzHz/8axM1wvIFCGFomcP8dnBZE+bwDE9KmFCSqS67FE2PShXCifseUG9Kn8PK+wHEFMVSRBWiAIhhdgM2WWyfKrqPn9hhQku//PtE37N87IJqLiFlP82qGdl96qyDaj2HD+LannEFyGFopBNOBn+c6jMvHSB1NYhPpdO5g2bn65Xlcl0utdOtS6AHyGFkgoqe9mgZexelv+2PcefClE6nU2Pyp4fFjypjmWlex8CCm1FSCG2/IGSTS8q1dBf0DBgJu+dyfxCyrZ3FRRCQcOjmbxWNssDNkIKsefvKaXrRQUt439MpOpZudyDirpHFbZsewIKyBQhBWek6u1kch5U2HMyed2gZYLCKo49qKiPV+VqmVTPyaR3i+L0/+trAcdkcvwnnfZUlWXSi8hmZ++CbNc52/BJ9b7ZLG8EnYuG0kNPCkUt015YNkOC/qFF//yogirq17O1NawymZ/tMkAqhBSKSlhoZBssmQwDplu2PcLO4YpSVKHE8SjkEsN9KAm53CGHDaO1RzEFFNAe9KRQMjIZ1vPPt2Xb68pGJu+f7eOZyMVQHgGFKBFScFJQZVe2B9DbM6yX73Bqz2vEOazS/X8l8MBwH2IhVxVehe4xtGeoMKphxvYMYbb3/ancQzr0pFDysjkPKx+Vd5nK13GqfL0/EISQQskO/YU9noqLZeaFDquo14Xwg43hPsROIYeIchEIhR7u878m4BJ6UkCW2tKTy+Q1C82FdQD8CCnESrphu2xfwxb2ekGhlKuCgWy2zyxrD4HmK2iiep98rzfih5AC0oi615Tq9bJ5ryiub1hocV1v5A/HpICY4DJDKEX0pBBb9nBXlK/n59Lxp3wHVS7fg6BFJuhJIfbY2QHFK/KQOnbsmJozZ44aNGiQ6tatmzrttNPUI4888j/fAB988EHVr18/vUxNTY3asmVL1KsCAIg7L2KPPfaY16dPH2/x4sVefX29t2DBAq9Hjx7eM888k1hm7ty5XmVlpbdo0SJvw4YN3tVXX+0NGjTIO3jwYEbv0dTUJIlHo6VsZWVlSS1oXtStQ4cOGbWwZYPm2/OyeY9U752PZn/ehf5boClnm+zPUymT/0QZej/72c9UVVWV+stf/pKYN27cON1jeu2113Qvqn///uruu+9W99xzj368qalJP+eVV15R48ePT/sezc3NqrKyMsrVRhEqROVYHKrVCjE8ypAswsj+v6KiIn/DfaNGjVJLly5VX3/9tb6/YcMGtWrVKnXFFVfo+/X19aqhoUEP8RkSOCNGjFB1dXWBr9nS0qKDyW4AgOIXeXXfrFmzdIgMGTJEdezYUR+jeuyxx9TEiRP14xJQQnpONrlvHvOrra1VDz/8cNSriiIXxYm/7XnPUrsAb9QnPAM56Um99dZbat68eer1119X69evV6+++qr63e9+p2/bavbs2bpLaNq2bdsiXWcA4TIJ+DgMcyKeIu9J3Xvvvbo3ZY4tnXPOOWrr1q26NzRp0iRVXV2t5+/cuVNX9xly//zzzw98zfLyct0AAKUl8p7UgQMHVIcOyS8rw36tra16WkrTJajkuJUhw4OrV69WI0eOjHp1gKQrhvsb2o/PFrHqSV111VX6GNTAgQPVWWedpT755BP11FNPqZtuuikxLDB9+nT16KOPqsGDB+vQkvOqpOJv7NixUa8OACDOvIg1Nzd706ZN8wYOHOh17drVO/XUU70HHnjAa2lpSSzT2trqzZkzx6uqqvLKy8u90aNHe5s3b874PThPipbLFnSOTybnAmV6TlbYa/ufk8ly7X2fbN+z0P9vaKroWt7Pk8oHzpNCrkVRCJCL350q5PvHcFeBGMj7eVIA3Kh4K/T7A1HgKuhAG3oNxRgA9JTgInpSQDsVw869GLYBxYmQAtqpGHtVgCsY7gPy3POQUGtrUUO659EjQrGhJwXEqPdFrw2lhpACADiL4T4gzxiSAzJHTwoA4CxCCgDgLEIKAOAsQgoA4CxCCgDgLEIKAOAsQgoA4CxCCgDgLEIKAOAsQgoA4CxCCgDgLEIKAOAsQgoA4CxCCgDgLEIKAOAsQgoA4CxCCgDgLEIKAOAsQgoA4CxCCgDgLEIKAOAsQgoA4CxCCgDgLEIKAOAsQgoA4CxCCgDgLEIKAOAsQgoA4CxCCgDgLEIKAOAsQgoA4CxCCgDgLEIKAOAsQgoA4CxCCgDgLEIKAOAsQgoA4CxCCgDgLEIKAFA8IbVy5Up11VVXqf79+6uysjK1aNGipMc9z1MPPvig6tevn+rWrZuqqalRW7ZsSVpmz549auLEiaqiokL16tVLTZkyRe3bt6/9WwMAKO2Q2r9/vzrvvPPUc889F/j4E088oZ599ln1wgsvqNWrV6vu3burMWPGqEOHDiWWkYD64osv1JIlS9TixYt18N1yyy3t2xIAQPHx2kGevnDhwsT91tZWr7q62nvyyScT8xobG73y8nLvjTfe0Pc3bdqkn7d27drEMu+//75XVlbmbd++PaP3bWpq0q9Bo9FoNBXrJvvzVCI9JlVfX68aGhr0EJ9RWVmpRowYoerq6vR9uZUhvuHDhyeWkeU7dOige15BWlpaVHNzc1IDABS/SENKAkpUVVUlzZf75jG57du3b9LjnTp1Ur17904s41dbW6vDzrQBAwZEudoAAEfForpv9uzZqqmpKdG2bdtW6FUCAMQtpKqrq/Xtzp07k+bLffOY3O7atSvp8aNHj+qKP7OMX3l5ua4EtBsAoPhFGlKDBg3SQbN06dLEPDl+JMeaRo4cqe/LbWNjo1q3bl1imWXLlqnW1lZ97AoAgIRsK/r27t3rffLJJ7rJ05966ik9vXXrVv343LlzvV69ennvvPOO99lnn3nXXHONN2jQIO/gwYOJ17j88su9oUOHeqtXr/ZWrVrlDR482JswYULG60B1H41Go6mSqO7LOqSWL18e+EaTJk1KlKHPmTPHq6qq0qXno0eP9jZv3pz0Grt379ah1KNHD6+iosKbPHmyDj9Cikaj0UqrNaUJqTKdVDEjQ4hS5QcAiDcphktVZxCL6j4AQGkipAAAziKkAADOIqQAAM4ipAAAziKkAADOIqQAAM4ipAAAziKkAADOIqQAAM4ipAAAziKkAADOIqQAAM4ipAAAziKkAADOIqQAAM4ipAAAziKkAADOIqQAAM4ipAAAziKkAADOIqQAAM4ipAAAziKkAADOIqQAAM4ipAAAziKkAADOIqQAAM4ipAAAziKkAADOIqQAAM4ipAAAziKkAADOIqQAAM4ipAAAziKkAADOIqQAAM4ipAAAziKkAADOIqQAAM4ipAAAziKkAADOIqQAAM4ipAAAziKkAADOIqQAAMUTUitXrlRXXXWV6t+/vyorK1OLFi1KPHbkyBE1c+ZMdc4556ju3bvrZW688Ua1Y8eOpNfYs2ePmjhxoqqoqFC9evVSU6ZMUfv27YtmiwAApRtS+/fvV+edd5567rnn/uexAwcOqPXr16s5c+bo27fffltt3rxZXX311UnLSUB98cUXasmSJWrx4sU6+G655Zb2bQkAoPh47SBPX7hwYcpl1qxZo5fbunWrvr9p0yZ9f+3atYll3n//fa+srMzbvn17Ru/b1NSkX4NGo9FoKtZN9uep5PyYVFNTkx4WlGE9UVdXp6eHDx+eWKampkZ16NBBrV69OterAwCIkU65fPFDhw7pY1QTJkzQx59EQ0OD6tu3b/JKdOqkevfurR8L0tLSopvR3Nycy9UGADgiZz0pKaK44YYbZDhRPf/88+16rdraWlVZWZloAwYMiGw9AQAlFlImoLZu3aqLI0wvSlRXV6tdu3YlLX/06FFd8SePBZk9e7YeNjRt27ZtuVhtAECxD/eZgNqyZYtavny56tOnT9LjI0eOVI2NjWrdunVq2LBhet6yZctUa2urGjFiROBrlpeX6wYAKC1Zh5Scz/TNN98k7tfX16tPP/1UH1Pq16+f+vnPf67Lz6W0/NixY4njTPJ4ly5d1BlnnKEuv/xydfPNN6sXXnhBh9rtt9+uxo8fr8+rAgAgwcvS8uXLA8sIJ02a5NXX14eWGcrzjN27d3sTJkzwevTo4VVUVHiTJ0/29u7dm/E6UIJOo9FoqiRK0MvkPypmpLpPCigAAPEmdQZ23YIf1+4DADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOIuQAgA4i5ACADiLkAIAOCuWIRXDXxcBALRhfx7LkNq7d2+hVwEAkIf9eSx/9LC1tVXt2LFDJ/DAgQPVtm3bUv5oVpzJDzwOGDCgqLdRsJ3FpRS2sxS2MZfbKftvCaj+/furDh3C+0udVAzJBp100kn6wxPywRXzH0mpbKNgO4tLKWxnKWxjrrYzk19Yj+VwHwCgNBBSAABnxTqkysvL1UMPPaRvi1UpbKNgO4tLKWxnKWyjC9sZy8IJAEBpiHVPCgBQ3AgpAICzCCkAgLMIKQCAs2IbUs8995w65ZRTVNeuXdWIESPUmjVrVJzV1taqCy+8UPXs2VP17dtXjR07Vm3evDlpmUOHDqmpU6eqPn36qB49eqhx48apnTt3qriaO3euKisrU9OnTy+6bdy+fbv65S9/qbejW7du6pxzzlEff/xx4nGpV3rwwQdVv3799OM1NTVqy5YtKk6OHTum5syZowYNGqS34bTTTlOPPPJI0rXY4ridK1euVFdddZW+EoL8fS5atCjp8Uy2ac+ePWrixIn65NdevXqpKVOmqH379qk4bOORI0fUzJkz9d9s9+7d9TI33nijvspPQbbRi6H58+d7Xbp08f761796X3zxhXfzzTd7vXr18nbu3OnF1ZgxY7yXX37Z27hxo/fpp596P/3pT72BAwd6+/btSyzzm9/8xhswYIC3dOlS7+OPP/Yuvvhib9SoUV4crVmzxjvllFO8c88915s2bVpRbeOePXu8k08+2fv1r3/trV692vv222+9f/zjH94333yTWGbu3LleZWWlt2jRIm/Dhg3e1Vdf7Q0aNMg7ePCgFxePPfaY16dPH2/x4sVefX29t2DBAq9Hjx7eM888E+vt/Pvf/+498MAD3ttvvy1p6y1cuDDp8Uy26fLLL/fOO+8876OPPvI+/PBD7/TTT/cmTJjgxWEbGxsbvZqaGu/NN9/0vvrqK6+urs676KKLvGHDhiW9Rr62MZYhJR/Y1KlTE/ePHTvm9e/f36utrfWKxa5du/Qfz4oVKxJ/OJ07d9Y7AuPLL7/Uy8gfUZzs3bvXGzx4sLdkyRLvsssuS4RUsWzjzJkzvUsvvTT08dbWVq+6utp78sknE/Nk28vLy7033njDi4srr7zSu+mmm5LmXXfddd7EiROLZjv9O/BMtmnTpk36eWvXrk0s8/7773tlZWXe9u3bPdeogCAO+lIpy23dujXv2xi74b7Dhw+rdevW6S62fS0/uV9XV6eKRVNTk77t3bu3vpVtlm64vd1DhgzRF9iN23bLcN6VV16ZtC3FtI3vvvuuGj58uLr++uv10O3QoUPVSy+9lHi8vr5eNTQ0JG2nXMNMhq3jtJ2jRo1SS5cuVV9//bW+v2HDBrVq1Sp1xRVXFNV22jLZJrmV4S/5GzBkedlPrV69WsV1f1RWVqa3K9/bGLsLzP7www96LLyqqippvtz/6quvVDGQq7zLcZpLLrlEnX322Xqe/MPo0qVL4o/E3m55LC7mz5+v1q9fr9auXfs/jxXLNn777bfq+eefVzNmzFD333+/3tY777xTb9ukSZMS2xL0Nxyn7Zw1a5a+yLN8kejYsaP+d/nYY4/p4xSiWLbTlsk2ya18ObF16tRJf+GM43YfOnRIH6OaMGFC4gKz+dzG2IVUKZCexsaNG/W30mIil/qfNm2aWrJkiS54KVbyJUO+YT7++OP6vvSk5P/nCy+8oEOqWLz11ltq3rx56vXXX1dnnXWW+vTTT/WXKznQXkzbWcqOHDmibrjhBl0sIl+8CiF2w30nnHCC/tbmr/iS+9XV1Srubr/9drV48WK1fPly/XMkhmybDHU2NjbGdrtlOG/Xrl3qggsu0N+6pK1YsUI9++yzelq+jcZ9G4VUfZ155plJ88444wz13Xff6WmzLXH/G7733nt1b2r8+PG6EuxXv/qVuuuuu3SlajFtpy2TbZJb+Tu3HT16VFfDxWm7j/xfQG3dulV/sbR/piOf2xi7kJIhk2HDhumxcPubq9wfOXKkiiv5piIBtXDhQrVs2TJd1muTbe7cuXPSdkuJuuz44rLdo0ePVp9//rn+xm2a9DhkeMhMx30bhQzT+k8fkOM2J598sp6W/7fyD9neThk2k7H8OG3ngQMH/ufH6uQLpPx7LKbttGWyTXIrX7TkS5kh/6blc5FjV3EKqC1btqh//vOf+lQKW1630YtpCbpU07zyyiu6yuSWW27RJegNDQ1eXN166626rPVf//qX9/333yfagQMHksqzpSx92bJlujx75MiRusWZXd1XLNsolVCdOnXSJdpbtmzx5s2b5x133HHea6+9llTGLH+z77zzjvfZZ59511xzjfOl2X6TJk3yTjzxxEQJupQzn3DCCd59990X6+2U6tNPPvlEN9lFPvXUU3raVLZlsk1Snj106FB9CsKqVat0NatLJeh7U2zj4cOHdVn9SSedpE+HsfdHLS0ted/GWIaU+MMf/qB3ZnK+lJSkS61+nMkfSlCTc6cM+Udw2223eccff7ze6V177bX6D6eYQqpYtvG9997zzj77bP1lasiQId6LL76Y9LiUMs+ZM8erqqrSy4wePdrbvHmzFyfNzc36/538O+zatat36qmn6nNv7B1ZHLdz+fLlgf8WJZQz3abdu3frHbacN1ZRUeFNnjxZB0MctrG+vj50fyTPy/c28lMdAABnxe6YFACgdBBSAABnEVIAAGcRUgAAZxFSAABnEVIAAGcRUgAAZxFSAABnEVIAAGcRUgAAZxFSAABnEVIAAOWq/wfmS70glfLGkgAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pip.update()\n", - "image = pip.resolve()\n", - "plt.imshow(image, cmap='gray');" - ] - }, - { - "cell_type": "markdown", - "id": "cac8caab", - "metadata": {}, - "source": [ - "Once defined, bacilli can be placed at specific positions, given random orientations, and varied in size. Several instances can be combined into the same simulation, with tools such as `NonOverlapping` to avoid unrealistic overlaps, or transformations to introduce further variability." - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "3004eeae", - "metadata": {}, - "outputs": [], - "source": [ - "bacillus = Bacillus(\n", - " position=lambda: np.random.uniform(0, 128, 2),\n", - " rotation=lambda: np.random.uniform(0, 2*np.pi),\n", - " length=lambda: np.random.uniform(1.6e-6, 2.6e-6),\n", - " max_bacillus_bend=1e-7,\n", - ")\n", - "\n", - "multiple_bacilli = (bacillus ^ (lambda: np.random.randint(5, 10)))\n", - "\n", - "non_overlap_bac = dt.NonOverlapping(multiple_bacilli, min_distance=3)\n", - "\n", - "pip = optics(non_overlap_bac)" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "e88acce8", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pip.update()\n", - "image = pip.resolve()\n", - "plt.imshow(image, cmap='gray');" - ] - }, - { - "cell_type": "markdown", - "id": "2339005e", - "metadata": {}, - "source": [ - "### 3.2 Streptobacillus\n", - "Streptobacilli are bacteria that form chains of bacilli. This can be modeled by arranging multiple bacilli end-to-end. The class below allows both the individual rods and the entire chain to bend slightly, which can give rise to realistic chain-like structures." - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "id": "1d1dd13a", - "metadata": {}, - "outputs": [], - "source": [ - "class Streptobacillus(dt.Scatterer):\n", - " __conversion_table__ = ConversionTable(\n", - " radius=(u.meter, u.meter),\n", - " length=(u.meter, u.meter),\n", - " rotation=(u.radian, u.radian),\n", - " )\n", - "\n", - " def __init__(\n", - " self,\n", - " radius=0.5e-6,\n", - " length=2e-6,\n", - " n_bacilli=5,\n", - " rotation=(0, 0, 0),\n", - " max_chain_bend=0,\n", - " max_bacillus_bend=0,\n", - " refractive_index=1.38,\n", - " **kwargs\n", - " ):\n", - " super().__init__(\n", - " radius=radius,\n", - " length=length, # length of each part of the chain\n", - " n_bacilli=n_bacilli,\n", - " rotation=rotation,\n", - " max_chain_bend=max_chain_bend,\n", - " max_bacillus_bend=max_bacillus_bend,\n", - " refractive_index=refractive_index,\n", - " **kwargs\n", - " )\n", - "\n", - " def _process_properties(self, properties):\n", - " properties = super()._process_properties(properties)\n", - "\n", - " # Ensure radius iis scalar\n", - " radius = np.array(properties[\"radius\"])\n", - " if radius.size > 1:\n", - " radius = radius[0]\n", - " properties[\"radius\"] = float(radius)\n", - "\n", - " # # Ensure length is scalar\n", - " # properties[\"length\"] = float(properties[\"length\"])\n", - "\n", - " # Ensure length is float or iterable of floats\n", - " length = properties[\"length\"]\n", - " if np.ndim(length) == 0:\n", - " properties[\"length\"] = float(length)\n", - " else:\n", - " properties[\"length\"] = np.array(length, dtype=float)\n", - "\n", - " # Ensure n_bacilli is int\n", - " properties[\"n_bacilli\"] = int(properties.get(\"n_bacilli\"))\n", - "\n", - " # Ensure rotation is 3 values\n", - " rotation = np.array(properties[\"rotation\"])\n", - " if rotation.ndim == 0:\n", - " rotation = [rotation, 0, 0]\n", - " elif rotation.size == 1:\n", - " rotation = [rotation[0], 0, 0]\n", - " elif rotation.size == 2:\n", - " rotation = [rotation[0], rotation[1], 0]\n", - " properties[\"rotation\"] = tuple(rotation)\n", - "\n", - " return properties\n", - "\n", - " def get(\n", - " self,\n", - " *ignore,\n", - " radius,\n", - " length,\n", - " n_bacilli,\n", - " rotation,\n", - " max_chain_bend,\n", - " max_bacillus_bend,\n", - " voxel_size,\n", - " **kwargs\n", - " ):\n", - " # Determine grid size\n", - " rad_ceil = np.ceil(radius / np.min(voxel_size[:2]))\n", - " len_ceil = np.ceil(length * 0.5 * n_bacilli / voxel_size[2]) + rad_ceil * n_bacilli\n", - " ceil = int(max(rad_ceil, len_ceil))\n", - "\n", - " # Create grid\n", - " x = np.arange(-ceil, ceil) * voxel_size[0]\n", - " y = np.arange(-ceil, ceil) * voxel_size[1]\n", - " z = np.arange(-ceil, ceil) * voxel_size[2]\n", - " Y, X, Z = np.meshgrid(y, x, z)\n", - "\n", - " # Rotate the grid\n", - " cos = np.cos(rotation)\n", - " sin = np.sin(rotation)\n", - " XR = (\n", - " cos[0] * cos[1] * X\n", - " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", - " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", - " )\n", - " YR = (\n", - " sin[0] * cos[1] * X\n", - " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", - " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", - " )\n", - " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", - "\n", - " shift = length + 2 * radius\n", - " total_length = n_bacilli * (length + 2 * radius)\n", - "\n", - " mask = np.zeros_like(XR, dtype=bool)\n", - "\n", - " for i in range(n_bacilli):\n", - " # Chain-level bending offsets\n", - " bend_chain_x = (np.random.rand() - 0.5) * 2 * max_chain_bend\n", - " bend_chain_z = (np.random.rand() - 0.5) * 2 * max_chain_bend\n", - "\n", - " # Shift chain along Y and apply chain bending\n", - " YR_shifted = YR - i*shift + total_length/2 - shift/2\n", - " XR_shifted = XR - bend_chain_x\n", - " ZR_shifted = ZR - bend_chain_z\n", - "\n", - " # Bacillus-level bending: wave-like bending along the lenght of the bacillus\n", - " bend_amp_x = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", - " bend_amp_z = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", - " lateral_offset_x = bend_amp_x * np.cos(np.pi * YR_shifted / length)\n", - " lateral_offset_z = bend_amp_z * np.cos(np.pi * YR_shifted / length)\n", - " XR_shifted -= lateral_offset_x\n", - " ZR_shifted -= lateral_offset_z\n", - "\n", - " # Cylinder mask\n", - " cyl_mask = ((XR_shifted**2 / radius**2 + ZR_shifted**2 / radius**2) < 1) & (np.abs(YR_shifted) < length/2)\n", - " \n", - " # Hemispherical caps\n", - " cap_mask = ((XR_shifted**2 + ZR_shifted**2 + (np.abs(YR_shifted) - length/2)**2) < radius**2)\n", - "\n", - " # Combine the cylinder with the end-caps to form the full bacillus shape\n", - " mask |= (cyl_mask | cap_mask)\n", - "\n", - " return mask.astype(float)" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "id": "015a12a6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "strepto = Streptobacillus(\n", - " position=(128, 128)\n", - ")\n", - "\n", - "optics = dt.Fluorescence(\n", - " output_region=(0, 0, 256, 256)\n", - ")\n", - "\n", - "pip = optics(strepto)\n", - "\n", - "pip.update()\n", - "image = pip.resolve()\n", - "plt.imshow(image, cmap='gray');" - ] - }, - { - "cell_type": "markdown", - "id": "29702ffb", - "metadata": {}, - "source": [ - "By adjusting the number of bacilli, their length, and the bending parameters, it is possible to create different chain morphologies. This is one way to mimic the diversity that may appear in experiments." - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "id": "43ed1a82", - "metadata": {}, - "outputs": [], - "source": [ - "strepto = Streptobacillus(\n", - " position=lambda: np.random.uniform(50, 206, 2),\n", - " n_bacilli=lambda: np.random.randint(3, 6),\n", - " max_chain_bend=0.15e-6,\n", - " max_bacillus_bend=0.15e-6,\n", - " rotation=lambda: np.random.uniform(0, 2*np.pi),\n", - ")\n", - "\n", - "optics = dt.Fluorescence(\n", - " output_region=(0, 0, 256, 256)\n", - ")\n", - "\n", - "pip = optics(strepto ^ 2)" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "id": "6c2712ef", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAa4AAAGiCAYAAAC/NyLhAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjEsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvc2/+5QAAAAlwSFlzAAAPYQAAD2EBqD+naQAATXhJREFUeJztnXvMVdWd/hcIKF6431UQtK22KDODlhJbSwsBqWOqOEltzQxaAtERU6WlDqbVwjTDxDbTRqfVfybgJNqLSdXYtEwcUYwj3ugQ70YMLThyvysVAc8vz5rfc+b7LtfeZ+9z9jnv2ec8n2Rl77NvZ5/9nnc953tZ39WnUqlUnBBCCFES+vb2DQghhBB5kHAJIYQoFRIuIYQQpULCJYQQolRIuIQQQpQKCZcQQohSIeESQghRKiRcQgghSoWESwghRKmQcAkhhCgVvSZcP/vZz9xZZ53lTjrpJDdt2jT3/PPP99atCCGEKBG9Ily/+tWv3JIlS9wdd9zh/vCHP7gpU6a4OXPmuJ07d/bG7QghhCgRfXqjyC4srIsuusj967/+q3/90UcfuTPPPNPddNNN7h/+4R9afTtCCCFKRL9Wv+GHH37oNmzY4JYtW1bd1rdvXzdr1iy3fv366DlHjhzxjUDo9u7d64YPH+769OnTkvsWQghRHLCZDh065MaNG+c1oK2Fa/fu3e748eNu9OjRPbbj9RtvvBE9Z+XKlW758uUtukMhhBCtYuvWre6MM87ovKxCWGcHDhyoti1btvT2LQkhhCiA0047Lfc5Lbe4RowY4U444QS3Y8eOHtvxesyYMdFzTjzxRN+EEEJ0FvWEe1pucQ0YMMBNnTrVPf744z1iVng9ffr0Vt+OEEKIktFyiwsgFX7+/PnuwgsvdJ/97GfdT3/6U/f++++76667rjduRwghRInoFeH62te+5nbt2uVuv/12t337dvcXf/EXbs2aNR9L2BBCCCHaYhxXoxw8eNANHjy4t29DCCFEgyDhbtCgQZ2XVSiEEEIQCZcQQohSIeESQghRKiRcQgghSoWESwghRKmQcAkhhCgVEi4hhBClQsIlhBCiVEi4hBBClAoJlxBCiFIh4RJCCFEqJFxCCCFKhYRLCCFEqZBwCSGEKBUSLiGEEKVCwiWEEKJUSLiEEEKUCgmXEEKIUiHhEkIIUSokXEIIIUqFhEsIIUSpkHAJIYQoFRIuIYQQpULCJYQQolRIuIQQQpQKCZcQQohSIeESQghRKiRcQgghSoWESwghRKmQcAkhhCgVEi4hhBClQsIlhBCiVEi4hBBClAoJlxBCiFIh4RJCCFEqJFxCCCFKhYRLCCFEqZBwCSGEKBUSLiGEEKVCwiWEEKJUSLiEEEKUCgmXEEKIUiHhEkIIUSokXEIIIUqFhEsIIUSpkHAJIYQoFRIuIYQQpULCJYQQolRIuIQQQpQKCZcQQohSIeESQghRKiRcQgghSoWESwghRKmQcAkhhCgVEi4hhBClQsIlhBCiVEi4hBBClAoJlxBCiFIh4RJCCFEqJFxCCCFKhYRLCCFEdwvXD37wA9enT58e7dxzz63u/+CDD9yNN97ohg8f7k499VR31VVXuR07dhR9G0IIITqUplhcn/nMZ9y2bduq7emnn67uu+WWW9yjjz7qHnzwQbdu3Tr37rvvunnz5jXjNoQQQnQg/Zpy0X793JgxYz62/cCBA+7f/u3f3AMPPOC+/OUv+22rVq1y5513nnv22Wfd5z73uWbcjhBCiA6iKRbXW2+95caNG+cmTZrkrrnmGrdlyxa/fcOGDe7o0aNu1qxZ1WPhRhw/frxbv359M25FCCFEh1G4xTVt2jS3evVq96lPfcq7CZcvX+6+8IUvuFdeecVt377dDRgwwA0ZMqTHOaNHj/b7kjhy5Ihv5ODBg0XfthBCiG4Vrrlz51bXL7jgAi9kEyZMcL/+9a/dwIED67rmypUrvQAKUSRIHAqpVCq9ci9CiDZKh4d19clPftJt2rTJx70+/PBDt3///h7HIKswFhMjy5Yt8/Extq1btzb7toUQQnSrcL333nvu7bffdmPHjnVTp051/fv3d48//nh1/5tvvuljYNOnT0+8xoknnugGDRrUowmRhXBohm15j6/VhBAldRV+5zvfcZdffrl3DyLV/Y477nAnnHCC+/rXv+4GDx7sFixY4JYsWeKGDRvmBeimm27yoqWMQlEUSSICN2AzBYbXDt+Hr+WGFKJNheudd97xIrVnzx43cuRI9/nPf96numMd/OQnP3F9+/b1A4+RcDFnzhz385//vOjbEOJjtMoqCt9H1pgQxdKnUsKfgcgqhPUmRKcIQwn/DYUoBOQt5A3/NGUAshCd4hJMulbW96AgJbkRs3wWIURPJFyi4yjSAktL4qjn/E6wDoXobSRcolQU1fGH12lXy6Ys9ylEK5FwiY4WrXotoxjtIBpyKQqh+biEEEKUDFlcohQUaTk14x562+KRJSa6CQmX6GjBalTIsnb8vS0cWbIVJWKiU5BwiballuhkSSvPKlxJnXqjVlarkiuyfM52thiFyINiXKJjaCT1PGvNwU7r4Dvt84juQBaXaDvyWg9Z1osYcJz1+mli0G7p7bwfuRRFmZBwidK6BxtZt9iOOk8x3KzuxTxCluWcesla7aPdxFWIEAmXKCUxQbKuPixRzDmG7YizdOb2mHpFrh1Q1Q7RKUi4RFuQxxKILdkgVnbJRoHB0jZuSxOpNIEK98WOq2em5d7OUmzXexECSLhEKcgqWpj7zS5pdVmx+uijj3os7f4s95Gnw64leDFLrtb753mfZiKXougtJFyitISCNWDAANevXz/fMGu2FS8rVseOHXPHjx/3Devch9cxayxtIshQfPJaa0KI/Ei4ROkGGVsrC+JEsRo4cKAXLAjYySef7Pr3718VLytaH374oV9yPRQx27K4FmMilbQenl+U9dIO1k873IPoDiRcopRjs0LhgliddNJJXrCwPPXUU72IYR+OoUUFccLM2xCso0ePug8++CAqYmwUPCtiRZM1LlbrnFrnt1pIlGIvmoWES5QOK1qwqiBUsLaGDh3qZ1I95ZRT/DqtLogXhQvi9Oc//9kvIWCHDx+uChmWaNYqy2qJhdZVzIWYZIGVLTtRiN5GwiV6jbyVLey6jWvRwoJYoQ0ePNiNHDnSb8N+NCtcFCtYW++//35VsLAd23AMlhQxWGahNZZFyEIxyhIni+3L8uzaqfxUlvdu9fuLzkLCJUrlJgyzCGFRwSVI8YJoDRkyxA0bNsxbX9iHRpdfTLiw5DqtMSzRKFrWpYhtFK/QGgszF/OOGctTxSN8NrHj27mKR2+/vygvEi5R+kxCuAnhHoRoQbCGDx/uxowZ4wUMgoYGICaMa9HKeu+997xAYR3CRasLS1pjeE1Bo0vRihgarm3jYhQ2ilitRA7uDz9ruC1NzGLb87ghYy7M2H3FyHpf1m2aFL+UgIlaSLhE6bDCRYsL8azTTjvNixfchRAvLCFq2MfOEoIC4aElBUGikEGsaI1BtGiN4ZjQpUgRw35ci3ExWmMUtlDQrJCliUooamnHZHleWc+pN0U/6by05Jq0a0m8RBoSLlGKFPhwW2h5UcRggdF1yKQNNOwHEA1sp7UEUWNyBt2DFCcrXLDMKHAUMZ5DIbTJHRRGa5nRnQiypM3nGTOW1e3WG7GxvC7S8D0lYiJEwiXanjQ3GAcYcywXGgTMxr7Q8JrXYLYgY160mChMFCQKFEQMwmXjYlbgbEKHzVjkdlwf2/m+/Ez289n1pIoaecaJ5YmNJe1LI48l2OhAa1lgIkTCJXqNLL/Ea2Xc0fVm3XPWXUehYPo8EzrsuWyMV3GslxUkuhBpcVnry4oYhQzbDh06VLXiaLHREksaExYmeNjPmfeZ5omZ5Y2FCdGbSLhEr2GD9LGkgHCd2HRzO3iYwkKhoYsQQgVokdlCvLaWIY5jXIpuRroAkfzB92BcDK9tJqJ1L2KJa2AJ0QK4F5xvS1CFn88KqR0AHabYx56bfabhuj0n7e/B42Kv81rDafeZdo2kxI0s1xLdgYRLtJyYMCV1kkmdqLW0bMo6xYPCQTcigDDhHCxtbMzeD62x0IJjHMtmJWId72dT6JmliPfnGDO+L98P720tQfv+dGHyc3E9Zonx/Ho78phghH+f2Ouk82PHpyVj5H2/Wt8V0T1IuERbkcUNZV2DEBFWx9i3b59fYj+W6PghJBAXZBwycQOWFK0vFualkIUiR6Gg+5GCwmbLR0GwKGR4X2Q4HjhwwO3fv99fD65DWmi8NsWM0L2ZVI4qJmShNVYrFhYTDFkzokxIuETpYOfLDp7xJYgERIDChQ4fg5JpiTFRA5mErKgBEaPw2aK84Xxe7NRpsVFg6E5kXIwxLWzHOXgPXBPHMGEE+ykUFFCKiE2tZ+yMLkqKl021jw1+5jPistHxWUk0mqrfaOagLK/uRcIlWkYRQX3bEdtq7xAHWDmhxcTqFxAvpsZDBFhRA+dDXCgqFC8bCwMs1GuzGK3lhyUr0/M62IbzeR9Y5/sAXMdafNhP683GzyiIdvyZtQBtCaqYBRb+DYrq6OsRtSLT9MNzJWDdg4RLlA4b50EHDvAanT9eM0ECFhisK5R+gqsQ1haSLLBOEeN2iAn2saI8lxSp0AKji4/uRiaK4FoURsa1eF+0tiA8dt4wzh2G69p4HVyLzFK0FT6Y4ZhFxJIssaTnGkvQkCCIdkPCJUpD2LHS4iJMemCnzgQNCBhEKSZcEDUsWesQ60yqoHhxXFg4szIzE3k/Nk4WDobG++J4CpqdNwz7KY4UI3yGgwcPVl2PWKeIsTQVBY6xMFsMOKzYEYoZ7zkpNmZJ287rpP3NYuck7Y8dlydNXyLbHUi4RNuP5QqPs+5CxroAJ4xEJ44lrRyOq8I6O32WgsJ2igfXGfti/IsCZCetpIDRUuK9URyAre5By4yvOeklRZTXpADRtUmxwjotSSZ52JharI6inek5rGhvMxSTUu2bSVKCSIx6xphJwDobCZdoCY0MNA6Ps9cMO1501hABdOKMXVGIwskm6SqkSMHiorsQx2Cd56DZ69lKHdaVaCertFXkOfCZhYHxXngPFALG+zBBhOczxkWLymYkYp0DmjlOzNZRtBmPVsRsxZC05A6bbp9lTFeaFRU7L/a3TkrNt9fJk/ko66uzkXCJXiVtnE9WcQvdX3b8Fa0ddPDWeqKrji5EuvPoNgyFC695HkXMxsJogdFFB9GAi9IOSraZhEzLx3vAXUlRBBQWDnKmiNl4F4WL5agocBQxO2EmXYhh7USKZBgjs+n2WZ5/2jFJY7Vi+2sJjSp2CCLhEk2jmR1N+KveWgt4TYuCcS87UJmxIYgF1iliTJmnxUW3IUWNosftnH3ZptHTdYnrMkZFwaFrEeewgw9jYrwG0+5pPdFqhCjRzUkLC/dGtyHT/8Mq9rTIeL2wRqMdL0bL0YpXLdGqJ5kj5v6NvVdSnCyr0Mny6jwkXKJwkjqgvCS5lPgeMbch40oULYoYGpMqmD4PwUBnTzcd4054TcuLFhbFitmHHAdG64tZhhQdvIctzAuRYJyL1emZOGHjYEznB0zXx3EUKlutI5zF2VpctMZsvUVbK9HGxZilSNHCvdixYlktrTzr4d8wJnj1Jo2IzkfCJUpNkuVFq8EOHuYxVsTQmdNasrErWmG0hChQtHwocLS4rOjQuuMYMjS8P0WQ47nwnoypAQqtTfxgCSqKHRricoxf2WLAoZVlBcnWV7RFg7HOjEUO4rYV7imufHZ2af8G1jKz67FCwUljzGq5GiVSgki4RKG0Kg4RG3MUuxfus5M38rW1zOhSpOWETpuWFAcNW4vJTp1iBy3z2hQVig3eiwkhFDC8JywpDpbmZ7FJH3bcWDh+jIOecS0KJK4X1lQMLS5rjTHbEgkf+Gx8LkzzD4cb2AxK+7ewLZa1GCbRWEsuTZDSLLGk/bHviUSvs5BwiYZpJJaQN3aS9muc+2MuqDCFPhQwuscoYraSO8XLWmPhui3Ya4vk2qxCiBazHZkaz5R7O0MyrTxgU+7tveE9GU+ziRYULiaIMJbFGBctKVvFnu/HUla4bky4wjFsJMxK5GcJU/Bts38La4HF/kb2exL7wZIn41F0BhIuURhhJ5Gl08jTsWQ9Nkmkwv0UGYBOlp21FQkex5R3xqLs3F7WGrLvSxGgFcVYGUUGokGXIpIqkF2IZmsq0rKja9HeA6Do0IqxWYE2Bd4WBqYbkVXs4XpEQzFg3D+uh+0QZbpbKd5WvIhN5OBnC8WbCSs81s4Ibc8PRS3p7yq6GwmXaIha1lIrfvFmcRvG7ifp/qwLka8pbDYGZdfDzty6wwCL/qJR4DihJDpxCFc4OJqp+nRPWheitcJ4j1bU+P5soYhxwDWWdooVvL91V9L6su5Sijix4mPfh1mKtqqHLUhs7yet5mLa39D+zdNETRmGnYWES+SmN9wveVyK4eusAX77az+8hs1YpEuRr2Pln+wSsCgvK9fTNcn3tRmAHN/F1Hem4DOexiQSO7+XTZwIBTS0xiiedH8y9sVq+tzPGBsHTdOtSeuPz8oKF606O/zA1l/ka7vO6vm2YDGfVdbvRRa3YZbvgCgHEi7R0aRZY2mxsLROkethokJS1l04XQktDpZxQlYfhAmigUoaFC7M54XtrOphy1FRxMI6iqEFaOf6AhQZazkx+xHbhw4d6s+hcHKMGe+J8Tmbth+KIj+rna+MGY9MGGGMLSwazKUtV5UUF0v6O4nOR8IlMlGWIHeYcZa2Ldb5xdZ5Xuw6MeEK1+372cQFdtx02UEcIGJ0FVrhQuyLVhcrfFBErAvPWmM2/mYtJPuZbNYiBQr7cU0uafFxMk5b5YOfLZy52U6GGSaExCrfh7UXkyrfJ/2tY38j0blIuETTBCutI6/HLZjFXVgrhlV0xxYTs3DdHmvdiDYuxA6drkJWyaBwoTPnmC9rfTGRg5aXHVcWzu7MqhyMq1m3HJ9VOKWLreMI4eL4Njv5pY2nWXeftbjs/GK2aDDT8XFNDgbnIHGKLa5j3ZLhs0/6gSJ3Yeci4RKJJKWgx7bHzs1C7Hr2dbjdnpP0nrXcg+H7h/dit2dNvU6yyLhuJ5W0lgkHAVNoYInQyuE0K5xyxU7NQhGjdUbLK7TE7KBq6zakFUQLh8kSEAsOiMZ7QazsnGahcPFz2qxAZhXSNWozGSnQsCyZjIJBz6zriO14X441oyXGqh5WbJVw0b1IuERdKe5ZRCtLVmHS9dLeJ+s1854Xu+dav+rD47Jc2yY02PFjTJRgXIkixnm76Cq08SYKl3Xp8RwbC+NgaiZuWNFkTUVafHx/K5gULhvjshmN9jNaEQvjXWx0D+J9KVx4jeW+ffv8Oj4/UvQproyF8Xrh+0nIugcJlyjEPVhLYJrhssubbh97zySXXnhMEfGUMGMxTDSgNcYsO1osnKYFnTcFCR27rVwfVrEPhcu6/4CtrsH6hhxbhevYsWnhFC424zBMyQ8/G+6D7kPcA60vCjDen6LLsWOsG8lB2nR9hlmeFK2keKSErHORcImGRCuPRZRmidXTuRSRMFLLlRg7pp54m91m91m3FxMQbDFgCgXjPxQhWyuRY71s5XoKgxUuxo+AHVsFS4buPWYLcooWPhOb4GGt4XAMm93P5xaOJWOFDyanwKKDZYf74PxosLawjQO38ZrPjfdmRb+eHxFJf1vR/ki4RKHUKyZlDJhnHVsWYrP7rJCFosb5xGyZJzsNip0OhTEyWxw4nPzSjr+yCRQcCI3tTArh7NF4TTcmByLzvel6tFVFwgaYps+ajGi4Lq0+uCHpNhw2bJjPpoRQwYUJUYO7EI0CDAvRWlcsYhz+Xcr2fRLZkXCJQqytPBmEtTIGe7PDyepOTDs+PCcppT7peqHLLazxR1ciRcMW+Q3rKFqBQ6PFYlPMORCaVh7fm9Yc751zhLHZgr+2on2YyRiWz7JiZ8+luOIYii6tQNaOpKXFOcRsdmae5yzKjYRLZBasNBdgUnJF0nlp2Xx5BSzrcfVag1nEKc89hRZWuD0WqwmTOUJrzFo1dt1aaRSLMEGE5a0oiADbaL3RjcgCwaHVFYpYeA92X3jPtgII34+TbbIGI/fDIqOlyOlbmAASc1Hav5OErLOQcImGSMsGtC0kbUxON/xyTvpcoaiF7sjwmcasmbByhrVwYinsFAdOrMkxV5y0kjEoZjLSZRe6LVkaiq7L2JxmFFBbNNi6IXk83gtxMIoYXYt8BrxPCqqtri86HwmXyEQWi8p2quFUHGnuL5uFZik6VlGP5VTk9cJU+ixWWbge22cz65JqKMamI7H3ZGdwRmPcCEum3Ntq9WGFDjvo2cbYWN/QJo7YOc3CDEWKH++Tk1miIRaG+BYrjfA9k+YJE52LhKvLqSceFdsXdpRh3MMeaytGhAVVw4SFVgTas2QWNnK92HXr/TxJz4fYYsDhD4ok4eI+ChegBYO/EWNdECGbEBJaXLSybMYj0/OxDhHifqbH22vx3uyEnJzDDI1VRHAtO4GnLSocPm9ZYJ2JhEvkJvx1azs+ilasCCxjNUyJZodkp8KwFkSndDp5hTCrWCfFxGLvGYpY7B6ZtIG/BQf9IrOPVlJMrOjis7USrXCx2gfrLbKEFGsv2nFodtZnwO8RxYsVQ2yl/JjFFVqqnfI9Ev+HhKtLqdeqCM8LrSx2XoiJ8JcxOh47OzDTrRE/YZCdZX1oeYUDS1vZAWV5nzzPL0umYp7PViuZJelZhR17uC+seMEByrGki9jEmtYas+5BfgcoVmiogs+SVrb2IgXJJpDws4Txu6QYqoSq85FwiUTSfrWHS1pcjF/wlzEnROQvaVsV3Q52ZVpzLUsi6T5b3VnlTZtPOj9LPKxV48/se9pU+TDN3VrXuE44I7Rt1lXIQsHYxpmfsU7L2w6a5g+dsBiwjYmmPada+0W5kXB1IVnjWraDSxIx+6ubHRR+QWMgKaeEx4BS/lpHB2SLq2IbAu4UNSYFhMkaSanOtUhLbMhzjN0X3lNsnz0mKR6Vdk7a+4b3GIpg0j2m/RCg5WIreTDtPkyyiS3tjND8W9PqoiVFywrihL89C/jC+qIbkcfQesf92ELAdqJKayHW+luJzkLCJRJJcimFjcJFSwtCNWLECD8pITql4cOHV39Fo8OBUKHt2bOnRxaZnRG4qOrfSYKb95gs+2qd0+yst3qFnkIWs3TTkj2Svgs2KccOgGbRYHxPIFwUKXxfOPcYxAzb7ZxfrBSP4rs4j5mFtr6idSmKzieejpPCU0895S6//HI3btw4/0V9+OGHe+zHl+f22293Y8eO9b+gZs2a5d56660ex+zdu9ddc801/lcWOrYFCxb4L6NoPo10nklJGbaTYrCdlhbEC8IFIRs5cqRf4jUa9uE7wFgHOyu6iZJiGK2mljuq1rlJ6f6NnhMeF7rQimh2GhY7WSTdiGFjCSlWnmdVd870DOFB+Sb0Afjhsnv3brdr1y63c+fOasNrNOzDMTgW5+B89BOcHoVuRJuRWu/fSXS4xYUv4JQpU9w3v/lNN2/evI/tv/POO91dd93l7rvvPjdx4kT3/e9/382ZM8e99tpr1fIxEK1t27a5xx57zH/5rrvuOrdo0SL3wAMPFPOpxMfI2vlntVBss+WG7LTzFK1Ro0ZVU6nR4TH2BdCxoePhrLh0BVmXYex+WtkZJT27egS1ntT7tPT6rO7HWtdPS/BIim2G22IWGSt84DvCosGcvgUihD4BfQrWwwkr0XgNCKEVME5xQrdhPT8ORBcJ19y5c31L+jL89Kc/dd/73vfcV7/6Vb/t3//9393o0aO9ZXb11Ve7119/3a1Zs8a98MIL7sILL/TH3H333e4rX/mK+/GPf+wtOdF+hJ2VjXGF1hasKIgW4ly0tBi34NgcThGPDoslfPBrnL/YWQE87JzV4fSkKGs0FidLyupM2xf7nsREDMJFCxtCxCQOprzb9HtacjgOP27wneEcYqyaYV2F+o50PoXGuDZv3uy2b9/u3YMEv7ynTZvm1q9f74ULS7gHKVoAx+ML/dxzz7krr7yyyFsSDRCzvmKuQlpcDMJz3A4tKwbkWR2cbiUKGNPmbXZa+Au+UzujRrIT0yyxes8r+jlT2Hht/iCxs0BTmPD94azMTKu3Y8uY1GMnvaSrMOYqFZ1LocIF0QKwsCx4zX1YwnXU4yb69fO/znlMCGdNJfi1JYr/RV4rKSEWiE8TLitMLNFjxwhZ0bIDUGMVHmKkZf+1gma9f72CVOt8e42YhRQmd9jXtSyy8JwkV2M495h1DbNWoh28znPQmJDB+JlNlY99ZolX51KKrMKVK1e65cuX9/ZtdC1JlldSfMtWOLDCxRgXf03bunbW2goHlzbakTeL3n7/RshjlSWJWz3wfFre/A5BjGxFeVsqjEkitMy4tC7CPPEt0YVZhWmMGTPGL3fs2NFjO15zH5bIHLLgi4jAK48JWbZsmY9/sG3durXI2+5Y6u1YQzdd0jHW2rIz81qxCmvKhcJUFO2QfdgI9WQo1tNRp2UQ5n3fWAZimI1o18PGfXQFciAyx23BNchGF6FNyAiFy95To89adJFwIYsQ4vP444/3cOshdjV9+nT/GktkBm3YsKF6zNq1a/0XELGwGOj8EPC3TbiWdfq1xuzwVzJdhWwxayp8rywdaFa3YSs6pGa9R72im1eEeE6j18oqZnlS7e2MzNYlyHVsD92DSXEtiVNnk9tViIyeTZs29UjI2Lhxo49RjR8/3t18883uhz/8ofvEJz5RTYdHpuAVV1zhjz/vvPPcpZde6hYuXOjuvfde/0VcvHixT9xQRmF7EUtxtvs48BgCZZMxQjdhODbLun5sC8v6tCNltuqa/RliMb9a8a/wuKR7jFlUcg92L7mF68UXX3Rf+tKXqq+XLFnil/Pnz3erV6923/3ud71pj3FZsKw+//nP+/R3juEC999/vxermTNn+s7vqquu8mO/RPuO20obdExLK0zIsDPacuoJ6xpiUN7+krZZYqJ+siRo1HuttPOzujzTkkK4rVbCRT2Wlr5XXSpcM2bMqPlPsWLFCt+SgHWmwcblJEzMCDMKQzchj2EhXTRbecEKFkWrViWEZlPk+7bKQsuT4djMrMWk69Qbj6u1PatoSbA6i1JkFYpis8XSEi6yVkagILEaPC0tugiteNHaCrPDGLtg/KIeiytPh23PCT9fszq2vDE7fp7QrVbrM8YGBGd9nyzPIMl1V2tf7DqNCkwtsQrvTaLVeUi4uox6xnXZpXUTWtGCYNnq32Fsyw44hUixjh0Hk3JcDq2xrPGLeiya3o5T1fvjIQu1skHzHlfr/Faf26zvhCgXEq4uJWvHxvWYeNnxWIxpxapghNYW057Z7FQVoWi1IgDfG7/I88SN2oFG3Yu1rlMPimd1LxIukfjrPpZVaAcdU7BsNqG1tlgFw47XoViFqc620nfS/EqNWjNpSQFlFIbQzZd12EA9YhM+tzwu1qRz895DM48XXTyOS3QmdtwWBxvb6Uswrg41KTmXEgumctZjdCIQJYqVHVjKwaXWVRgOKs17r/XsKyP1uBOLcK32lptQCCKLq4MoqvNKGnBMa4suwrCYLq0tmwLP+BYTLyhebHZgaZpoWddhozGSMnWeeZM72pGsSR9FWEmytLoDCVeXk2XcFpfh2K2k2oS0thjfsiV97ASDLOFjhcsWTI1VRmi00252FmErqCcdvZ73yJupWO/7tOO1RHsjV6GoGdOyogVRoosQ09Ng3i02uAwhYCyoG7oJIVSYT8k2uAo5r1I4RYXoPZJ+vAjRDsji6gCaEd+wIhZOXWLT3yFgjG3R2rJjtziNCVPgEc9iS5tXKQ8SueZVzWh39LfvTiRcHUa97py0zEIrXEx5p3Cx4bWtBm+zCW1sC2JlhcuWe7J1CsNmP1+9n1+dXPZn0GgmYDNjifo7CrkKO4xGRMtaWUmFdGFdIYMQbkKU7kLDunUTcgJAugk5RQVcg5gtAFPTYImCzWFGYZYadfV+/k6zNlpFGQd5i85GFleXugmTkjJsTCscaAxRgnUFkYJYUbDQsN1mFLImIQSJwgWhgmDZ+JadX4kWGtEv6850N+YZcyZEDAmXSBUya3GFLkJmE9rYFrMJOU0JaxLSRRibFDCcfj3MJBTthdLWRW8jV2FJCd16JOzws47ZCreFca2kTEIOPMZ+WlsgzCSkizB0E4YWVxpZXYixmJgyFYXoHCRcHUYjRVrDTEKKFqwqugeHDx/eI7YF0cJ+HEfRgruPU7BDoCBW+/btc3v37vVztFG4YrGtJNGpt0ySUrmF6DwkXF1IlkHHdrAxK2RAoMJMQroIKVpheSe6B22zFTPCahmxQcdCCGGRcIkehKLFmY1tUgbcg1iHtcX4VlJCBtyEsLLQ6CYMBx1TvPKQlCKf1zoTQpQPJWd0MTaL0L4OMwltCryNbdFFCJcioKUFKwtCtWfPHrd7927fsA5XId2EEC4InJ00sojCumlxPyFEZyCLq8sqZdSK+YQlnmh1ceAxBxlD1Gw9Qsa1KFwQJ5uUgXUKlq2UEauWkXXgsQRJiO5EwtVlpCU02MSMsMwTxYsTRybFtegipGBZF2EoXLGkjLTK8LF7FkJ0H3IVdhF5pjOhcHF6ErtOODEkgBBxcDEyCHfs2OF27tzpdu3a5V2F2Ib9sMZY5im0tpKsKlbhEEIIIOEqEa22MCgqnL2YiRe2YC6TMrCNqe6IZTH1HQ1iljZZZK1swjy1CmOfQQjRWUi4Sk5S+Zy8JZ7CoqpWtFgo14oWq2Rwokhso3DBurKDjZlFCFeizSKMxbW4LoQQSUi4urQAaq3zKFh0B9LCgvUEdyFT3m0hXWYNYrlt27YeA45pcdnpS4AqWggh8iLh6nJilpkVNo7N4gzGsJ4oXBAjWmLYDqFijAtxLca8kqyteqYtyYMEUYjORMLVxfGtpNmOmZxhX9vBxbCcID6sfoGlFS7GtWIDjfMIVtbsQiFEdyHh6rAYV5bYVhI2BZ4DkDleC9txLYgPrSe8Nyu9I54F4WJtQohXOMNxmnDxs9T7uYUQ3YOEq+Tk7bxjk0WG1eA5aSQqY6BqBss7cc4tjt+CgNkBx7G5tmqJVpKIFf25hRCdg4SrBCSVMapHtOx61sK6FC2so7AuMwkhRrwXxrqYeWjn2YpVx+B5zaiIIZeiEJ2NhKukZEmBz3qdmGjZorp23i2IF4UKS1bQsGKGfWx541pJSIyEEETC1WWkTRzJuBYsLYgWBGvEiBFu9OjR1bm3YHExSQNuRQ4ohnvQzoBMkiwqCZEQol4kXB1MraSNWIknO5UJ599ijAtLbKdwwaLi/Fqw0sJEDpuRmHfG4nqRIArR+Ui42pg0118jMa7YdCYx4YJ1BcGyCRq0uJh0wSQMHB8TL3u/RYhSUfE+IUR5kXCVlCwddaxDD1/bSvCsAg9xgqVFweLEkdbi4uzFEC6sc1JJiBfEj9dNEppG593K+yyEEJ2DhKuLEzViqfB2AkkKUTilCRMz7BQnOJeWFqvIFyEocv0JIUIkXG0KY0ONdv5ZiuvGxnFRrKxoUaAAMghDsaJgpVlaSa8V2xJCZEXC1cYU6QKLVYHndggNBIizHMNVaFs46zFEwlpVoVAlzWgshBBFoBmQu1TcwskiYU3RTcjkDAoW94UuwHDqEw42tk31BoUQRSOLq80o0jVoswaTsgnRrHgxbmUbRcumuYNwkkkrXkUIlEROCBFDwtUlIpdU7ilMg6erEBYXWxjfCqc7Ccs8cc6togRMCCEschV2oYuQS5tJaMduseG1jW3RTcgZkTmliW22qG4471azkDgK0V1IuNqIVmUQhpmEdgxXLJPQZgzamJYtrMuWVlg3q8BkFToJlhDdiVyFXTi2ywoX0985bstaW6yEYQvpAooWLCyUe2KzFldackZRVpgGHgvRncji6mBCobLrLKpr6xLa8k54TVehFS26CClWmCwS83GhUbhgeWVxE8bS84UQohayuEpInlmOk8ZthfEta3GFqfAUrjAhw1pcWI+5CpuJXIVCdCcSrg4caJz0OiyqG2YScqJILK2bkNOUMN2dWYQxNyGnOQljXM2aNFII0X3IVdihxNyDNpOQcS1OW4K5t9jwGttheVG4aG1BoOAeRHFdzMH13nvv+XW4CiFgtLqyxrDkKhRC5EUWVxeN27IJGRAkugYZ34JY0eqySRmAwmVdhBAwtNBVGLO2SNJ2u18IIdKQxdWhKfBcxqpkULhsXAuCRdEKswlBOHbLJmdgGRu/BSREQoiikXB1EElZela0KFi0soYMGeKGDRvmG9Yx9xYsLzuvlhUtuAThHoSb8ODBg1VXIQSMVhfEK8woVKFdIURRSLg6kLTBxhQuzm4MoeJEkXQVWtEKU+AhUmgQLDQIGUWLFle9A4/zIBEUonuRcJUwZpXltd0eznKMxrFbtnHclq0ED8JMQsa2wvhWFjdhkuDIIhNCZEXC1UsUkU2XVP29VkIGLCu6CZlJCKsL22CJQbysaEGwIFKwsOAePHDggG9wF1o3YVqMS8IkhCgKZRV2ILGEDLoIbfo74lpYQsCwzVbKsJYW3IFMf9+/f3+1QcQoXBC3pMK6yh4UQhSJhKsE1lYWt2DSMdbasuWd0Gz6OzMJWQXeVsmAO5DixWZjW2miFaMR0ZLgCSHkKiw5SeO1woQMiBYTMmBdwcqipcXBxoxv2alLmJBBNyEsLbgJmVFoU+HDwrqq8i6EaAayuDqIMMbFMVs2/Z0uQroJIVzYjmNwLEWLFTLgHoRQ7d271+3Zs8c3rEPAIFx0E9qBxyGKbwkhikTCVeJMQrs9tLxsJiGsKJZ4slmELKhLFyEL6dr0d7gEIV4ct8WEDFaDj1XLKHLqEovETwgBJFxtBDrmNGGz+2PZg9ZFGJtvixUy4BpEY2zLJmSwkC5FK8wkpIswSbh4n+F9xz6LEELUg4SrRNZYHmuNsxZDuJiUAaGiaFnhgkUGIFgULQoVXIM7d+70bdeuXd5NyFR4FtVNq5SRNheXxEsIUQ8SrjYlayZh0nxb4bxbzCzkuh1gzAxCWE1Mf6drkKnvFLJw3FbWTEK+jxBCNIqEq6RzbiVlE/I1RcsKlxWs2BxbjG1xzFboIsS2cPqSpEzCokVKoieEqDsd/qmnnnKXX365GzdunO8gH3744R77r7322o/FXC699NIex8DddM0111TTshcsWODjJiI/McFibIvxLStaNtWdmYOMY+Hvsnv3bu8S3LFjh9u+fbtvWMe2ffv2+eNocdG1mBTTktgIIdrC4sKv8SlTprhvfvObbt68edFjIFSrVq2qvkaMxQLR2rZtm3vsscf8L/frrrvOLVq0yD3wwAOu28kS5woTNIC1sFiPEM+djQOLaV0x1R0WFvYB1h+EhYWYFoQKQkbBwt8+SyZhjCwJG0II0RThmjt3rm9poKMcM2ZMdN/rr7/u1qxZ41544QV34YUX+m133323+8pXvuJ+/OMfe0uu0yhqzq0sg41tlQw2zq3FihgQHrj7YGlBiHAeRIjVMDhui7EtWwU+5iJMK/HUqEBJ4IQQLYlxPfnkk27UqFF+gOuXv/xl98Mf/tANHz7c71u/fr13D1K0wKxZs3yn+txzz7krr7zyY9dD54pG8Otf/C9WtGhpsUIGMglZGYOzGkMIYGVBjCBAduwWEy8gVnANMjkDFpetSchiuiBLXUIhhGhr4YKbEC7EiRMnurffftvddttt3kKDYKFzRcwEotbjJvr185UcsC/GypUr3fLly12nk2aZJVWAt6IFoUJ6O+fYwpgtLPFDgbMd41nDUuIMxhAhNMa66EKkWGGdpZ3S5twCKvEkhCilcF199dXV9fPPP99dcMEF7uyzz/ZW2MyZM+u65rJly9ySJUuqr2EJnHnmma5MQlRrcHGt82tNW8LqGJy2hDMZc1ZjWmMULpZ1Yq1BTgxJ4WISRpYKGfx8Rce1JHBCiF5Jh580aZIbMWKE27RpkxcuxL4Q+LegQ0RMJSkuxlhNmWlUtMJ9dsoSZg/SRQgX7ciRI6vTl2AbJ4e05ZzQWMLJ1h5kBXi6aGmZhQON5R4UQnSkcL3zzju++sLYsWP96+nTp/tOcsOGDW7q1Kl+29q1a/0v+WnTpjX7dkpJ0kBjZhFClChasK7wQwE/AmBtIbaI7cwc5PQkAH8HiBi2cbwWq8FbNyKsLVpp1uICEjAhRNsLF36Vw3oimzdvdhs3bqxWHEcs6qqrrvIdJ2Jc3/3ud90555zj5syZ448/77zzfBxs4cKF7t577/Wd4uLFi72LsZMyChspppt2XFKMy863xckiGd+CcLEWIZbMLKSYsWIGRIzza7GUU1IGIciTSZhH1CSAQohChevFF190X/rSl6qvGXuaP3++u+eee9xLL73k7rvvPv9rHkI0e/Zs94//+I89XH3333+/Fyu4DtHxQujuuusu18nUE+MKiaXDW6uLhXRpeUG08GMCQsZKGRzLBXFiijzgoGQKGK2sWB1Cfp7YetGfWQghGhauGTNmpP4i/o//+I+a10Bn2m2DjRvpwJOqY9j4Fmc2Dq0tThbJMVxYUqQgcnbySOy3LsGYW9Aum/mZhRAiCdUqbONiukmFdYkt72Tn3AobxImCZStqcGAyS0Hx2rG6g1nFq8jBx0IIEUPCVTAxsSnKZRZLhbeuQqa8U6woTHQJQrj4mpXieT4ryifdZ1JJp6ITMyR2QohaSLhaQBGxrVC0wkK6ds4tLDkY2ZZ7gnCFFeKTBCut/mAeV6GESAhRNBKuXqKWGzC2LVafMFabkHEra21ZNyBbUjyrGdOSCCFEUUi42pRaA5BjCRq2WVdgWMEjSbSSBCxPVqF1iyoFXgjRFvNxidYRi2mF1pZ1E1oXIWNcnM6EbjuOzUK6OxsHGnMW5EZERJmEQohmI+EqkDwDifNcM62wLgSKBXRD4WLGIFPhKVoYp2UHG9txW7GBxs22jGRtCSHyIFdhG5CWAh+LcYVzb4WTRtLSsm5CugJjFherZMSqvtdT2klCJIRoJhKuAmiGeyytEnzMTYhsQmYU2mxClniixcXKGGGjqzBpypIkNFGkEKLVyFXYpoQp6nbclp3ChNUy0LAO8aJwQdx4DVbLYLV3TlmCJV2GjHGF1DvHliwzIUQzkHC1YaWMmGBx3boIw9iWtbbsoOIwKSMspktXYVKJpzyfy56jRA0hRDOQq7DNiGUQhunv1uKChQVLi9YWttlsQmBjW3aOLc5qzMxCipfNLIzFuIpA1pYQol5kcZUA6yZkFiFnOWYhXU5fAgHDfhvfYiYhJ4nkbMd0FULArNVV1DxbEichRDOQxdWLJLkEw2PCmY45fQnjWxQsugrtdCUULgiTtbTY7NxboaswjSxloOQqFEI0A1lcDZLWOYfxnqS097SyTrFMQsa2mJSBluQmtBZXknAluQnDz5DlcwohRLORcDWRvBZHUgq8neEYlhXm1xo6dGiPhm2MczGbkDMdQ6DgFoR78ODBg74dOnTIb6N45U2Dz/I5JWhCiGYg4WoTkrILa00WiSUtLusm5IBjiBLT3xHfYrOiFXMVhjEuCZoQol2QcLXpZJFJFeBtFmE4dstOCmkHHMfGbqFRtOAqzFOjsN5pToQQoggkXG1A6B4EtqwTkzGQhAErC67BYcOG+SVeYzv2M74FbCYh3IJwDx44cKDqJoTVRfGywpVWET4vEjQhRDNQVmEDFJk1FyuiCxFiSacwtgXhomhhn62UAUvLpr9TtNgoXHYMV56MwryfiUjIhBBFIOHqRcJKGTHxYoUMm/6eVt4pdBHSPWhjW3bsVky00grthkiMhBCtRsLV4ulLksTK7reZhLS2YFlhkDGsLQ44tkkZNrYFQbLW1v79+6sNr62bMJaUQYpwFWoslxCiaCRcbYJNyLBZhBAniBRcgyNGjPBt+PDhXsBsbIsuQlhQsKooWHv37nW7d+92e/bs8evYjrR4CJct9STLSQhRFiRcbUJSJqFNgYdQoWEd2xH/4mBjO9A4HLeFmBYaBYuxrSRrK4ullUXorLUlYRRCFIWyCtuApNgWEzMoWkzGYIyLwoXzIECMa9FFSKvLJmWEg47T4ltF1CsUQoiikcXVJunvVrgoWiymS9EKBxzbwcYQIiZhwCW4a9cu7yLcuXOnX8c2iJjNJgyrZcQsLcWohBDthoSrRYkZWV+H6fCMd0Gk0LiNgkXxgRUFUYJVZVPfaWnRTWgrZSRlD4brjSBLTQhRNBKuNiBWn9DOvxU2Hg/x4ZLWlh1szMYpTJJS4LOkwlskRkKI3kTC1SJiqeGxorqx81h3kAOLIUCwumg5YckMQizfffddt23btmpG4b59+6pjuGw1+CKqY9T6zEIIUTQSrhaRN1bEKUYoVhxMDAHiflhfTMiAOFG4IFZctwkZ1kUIao3ZkvAIIdoRCVcLBx3b9TRry1pZnATSprkz9R3nUNQgVBQrDjS2pZ2SahKGpImVhEwI0Q5IuHqBWtXhAYWLFhUEC0LE+oVI1MB+Vn2HaMHqgmAhkxBWF8dx2Qkjw8kikywtZRMKIdoVCVebkJSMgW20vCBAECMssZ0p8GiojEHXIEQMSRmsSRiO2SJJSRmNipYsMyFEM5FwFYy1VrIkY4QzHTMN3qa+U8DoIqQAUbTgDuSUJRC2WhUy7L3aZbi91jYhhOgNJFwFkmapJLkHw3FbrAaPihmsCG8rwFO80Jj+TiuLBXSxZC3CWgONs6S/2321rDEJnBCi2Ui4ehE7ZssKFieLxBJFdVFgFyKGBiBasKbC+oSc2djOs5WlOkZ4T0n7FfcSQrQDEq4mElooMVchY1vW2uKkkSzzhOrwEDQ0uPwgVDg3nIeL6fNMwEgaZMx7y+ISlAUlhGg3JFwZSMv8S9pXy20YVsmwFhdEi3Nv0eJiNXgIEywquBbhEmQ5KFzD3leSWNn9dlsW+Hljn1sCJ4RoFRKuFo3tio3Zis1yDNGCUI0cOdKL1tixY/1r7Idwwf0HdyDWWQkDQsY4GK4XUlSV96SkEyGEaCUSrl4QsNDaCsXLzr0FIcMSFheECbErHA/LC8fSEmMWIjMQeU8x11+SeMlqEkKUAQlXQSS5DdOyCe2kkRAlugrtxJFYotHiYnwLAkbRorvQjv0K34/3mOdzSMiEEO2IhKsg0kQrVkCX47YgOBAeClY49xYtLjvbMStm4DwrWtbSAnlmNE77HEII0U5IuJrQiafNvRUbcBwbu1XLDWitorSWRJFzb8kyE0K0EglXg+SZIDKWCs80eAgUZz2mW5BuwKTYlS3Gmza/Vl6BkRAJIdqZ/8uhFi3BWlt27BaTMmzDNlpcjFvZivHIJmTld1bJSJokUmIkhOgUJFxNIsk9GGYS0sqiixCChSXchDbFncJlRQtxLrZYtYxWIEEUQrQaCVeBnXJaUd20ahnWRUg3oU264DVYGcPO0cUWK/FUT2UMVc4QQrQ7Eq4GkjPqGb/FOBUECeJE0bIuQhbWtZmEAKIUWlusTxjOuZUmWnnEKK1qiERNCNEbSLhSaEbHHI7bYgo8G2NbYSUMFtSlWKFqBqYvQTV4rKcV1hVCiE5CwtWkdHjbwm1MzLCZhIxp2SlM6CaEANFFSNdgrfiWkjOEEJ2KhKsA0UqqjhFuszMcM7bFsVtsduyWtbboJoRo0eJCo3hZN2GSq7AWSpcXQpQBCVdBJCVmxBIyWCmDZZ1YKYOuQlhdVriYjAGB4gzHnEAynO0Yx+ZJzhBCiLKhAcgtTIW3wmWtrbBShnUTMpPQJmXYhAyO5UqytmpNcSKEEGVDwtUkN2JSJXhYUjE3IWNc4YBjJmWEwgU3IS0tuAkhbpxEMm9cSy5CIUSZkKuwQMKEDLvdxrUgVHQRYsJINBTThZsQAmaFixNHMovwwIEDfgJJtDCjsJUDj4UQoreQcDWZpDm3mAbPcVss7xSmwFtLCyIFsaJghRZXUqknuQmFEJ2EhKsgYmnvtUo82WYL6tpKGUyBh0AxtsVG0cpSMaNRJHZCiHZBwlUgaRNF0tqyc25ZNyHrE+I4jt2CINFNiAxCuAfhKkTDa7oJIV5JafASHCFEpyHhamKihh1sDGuKFeApXIxrscQT590CzCSEZcUUeAgXU+DhLoyVeco7eaSETQhRNpRV2OQxXGGJp1oDjm2ljFgmoY1t2WlM0rIJ66lRKIQQ7YosrjpIEwAb66JoMa4FywpWFgcc0+KCgNn4FkSIogXLim5CWlxJ2YShtZU0oaQ9ptZnU7koIUSphWvlypXuoosu8q6uUaNGuSuuuMK9+eabPY6BdXDjjTe64cOH+075qquucjt27OhxzJYtW9xll13mO2xcZ+nSpd5yKAOxdPfYMUzIYJUMihbjWmh4jrHYFqtkQKAgVvv37682vGa1DIpWlrFbeSrZCyFExwjXunXrvCg9++yz7rHHHvMd5+zZs30HS2655Rb36KOPugcffNAf/+6777p58+ZV96OjhWghNvPMM8+4++67z61evdrdfvvtrszECuoyk5BuQqbBM/3dTl1iMwnDFHimwbM2YdKgY0vaaw04FkKUmT6VBnqnXbt2eYsJAnXJJZf4bLeRI0e6Bx54wP3N3/yNP+aNN95w5513nlu/fr373Oc+537/+9+7v/7rv/aCNnr0aH/Mvffe62699VZ/PXTytYDVAVdbbyZd2PWwMaaFBssKz2To0KFuwoQJ7qyzzvLP7PTTT/eNY7kgYIxt4fPt3bvXW1hbt251f/rTn9zOnTvdO++84xvdhrC8YKmyPmFsHBeRcAkh2hHoBrxRLYtx4Q3BsGHD/HLDhg3eWpg1a1b1mHPPPdeNHz/eCxfA8vzzz6+KFpgzZ47viF999dXo+8DCYGfN1q4kuQltMV38kfAa+zjg2Ka/Wxfhnj17fNu3b59/DbFifCtp0LEQQnQydQsXOsybb77ZXXzxxW7y5Ml+2/bt26tWhgUihX08xooW93NfUmyNnT7amWee6VpB3ooTYWJGWJuQSRp2sDFnRKaLkNOWQLyYBs8WJmQwmzC8t7S0+FoZhxJAIUTHChdiXa+88or75S9/6ZrNsmXLqgNv0eA+641EjDzFdcO5tyhedCEy/R3H2UK6trQTpy/huC0Imq2UkVTiKYk0AVNShhCio8dxLV682P32t791Tz31lDvjjDOq28eMGeM7Vri0rNWFrELs4zHPP/98j+sx65DHhNBaKQvhGC5WzuC6nbKE8SlbSBfxLbgHd+/e7RvchBBsDjrmNCaNWEfWOhRCiI61uNBBQrQeeught3btWjdx4sQe+6dOneo76Mcff7y6DenySH+fPn26f43lyy+/7JMNCDIUEff59Kc/7dqFemcQjrnpOKeWncWY9QethcWSTjb9neO27KDj0E1o38veu9x9QgjX7RYX3IPIGHzkkUd8cgFjUog7IdEAywULFrglS5b4hA2I0U033eTFChmFAOnzEKi//du/dXfeeae/xve+9z1/7TJZVSEQCWu9hKJFVyBFC4LFxAycZ+sR2sHGjG2xvFOY/p400LiemoUSOiFExwnXPffc45czZszosX3VqlXu2muv9es/+clPvIsMA49hISBj8Oc//3n1WHTUcDPecMMNXtCQcTd//ny3YsUKV3ZiYmWtKggRrCgAscI+zrtlLS6IOSxSZhPS6qKLMGnQsYRHCNENNDSOq7doxTgukKVCRmzgsR10jFgfqohgOXbsWB/HYwUNiDbPtaWdIFwY0wYRg4BhyXqFsNqSRCutTmEWSvhVEEJ04TguFdnN0JHXErCww2f8iXNpQXAgZhAluEM5aBhWGMs8MTED4gUriwOM6SIMaxLWUwne3i8/k8RKCFE2JFwNxrFiwkbRwnaIFtyj2IbX2I5fGKyWwXNZ/R2WF7IKIVwUM4iXnSzSvnetQroxKJbKKBRClBEJVw6ydPQUEogMgOgATkECgYILEY3lrXA8EzYQx4LVheOse5CiFUvMaNZnEUKIdkTCVQC0XuySIkN3IfdhGzMK4T7k+TbjkKnvSYONeU5aUkYtQZOLUAhRViRcGUhzq4WixW2hZUQBgiBxQDLLPQHGvZiJyONrzW7cSDKGEEKUEQlXwVghA7SWIFIQIZZ5sqIFKE52sHIRiRhCCNFpSLgKyDCMuQqteAEbo6JoJQ1Yjlls9hi7LXaPWT+LEEKUEQlXQcTEym5Hs+KVdp0k66pR96AESwjRCUi4WoRNzgiJCR7Pia0LIUQ3I+EqOFEjFKIkUYqdV2uf3INCCCHhqotag3frFbC0a9Xalud8IYToyokku528glCUaAkhRLcji6sFllcjFlfsWs08Rwgh2h0JV4NkrfkXikitOFkj9yOEEJ2MhKsAwjhWPUKW572SxpIJIUQ3oBhXwTS7eG3S9VU0VwjRLcjiKpBYTKvZgiJLSwjRbUi4moStclGUeEmkhBBCrkIhhBAlQxZXC8iaUZh2jhBCiP9FwtULSJSEEKJ+5CoUQghRKiRcQgghSoWESwghRKmQcAkhhCgVEi4hhBClQsIlhBCiVEi4hBBClAoJlxBCiFIh4RJCCFEqJFxCCCFKhYRLCCFEqZBwCSGEKBUSLiGEEKVCwiWEEKJUSLiEEEKUCgmXEEKIUiHhEkIIUSokXEIIIUqFhEsIIUSpkHAJIYQoFRIuIYQQpULCJYQQolRIuIQQQpQKCZcQQohSIeESQghRKiRcQgghSoWESwghRKmQcAkhhCgVEi4hhBClQsIlhBCiVEi4hBBClAoJlxBCiFIh4RJCCFEqJFxCCCFKhYRLCCFEqZBwCSGEKBUSLiGEEKVCwiWEEKJUSLiEEEKUCgmXEEKIzhWulStXuosuusiddtppbtSoUe6KK65wb775Zo9jZsyY4fr06dOjXX/99T2O2bJli7vsssvcySef7K+zdOlSd+zYsWI+kRBCiI6mX56D161b52688UYvXhCa2267zc2ePdu99tpr7pRTTqket3DhQrdixYrqawgUOX78uBetMWPGuGeeecZt27bN/d3f/Z3r37+/+6d/+qeiPpcQQohOpdIAO3furOAS69atq2774he/WPnWt76VeM7vfve7St++fSvbt2+vbrvnnnsqgwYNqhw5ciTT+x44cMC/r5qampqaK3VDf56XhmJcBw4c8Mthw4b12H7//fe7ESNGuMmTJ7tly5a5w4cPV/etX7/enX/++W706NHVbXPmzHEHDx50r776avR9jhw54vfbJoQQojvJ5Sq0fPTRR+7mm292F198sRco8o1vfMNNmDDBjRs3zr300kvu1ltv9XGw3/zmN37/9u3be4gW4GvsS4qtLV++vN5bFUII0UHULVyIdb3yyivu6aef7rF90aJF1XVYVmPHjnUzZ850b7/9tjv77LPrei9YbUuWLKm+hsV15pln1nvrQgghSkxdrsLFixe73/72t+6JJ55wZ5xxRuqx06ZN88tNmzb5JZIyduzY0eMYvsa+GCeeeKIbNGhQjyaEEKI7ySVclUrFi9ZDDz3k1q5d6yZOnFjznI0bN/olLC8wffp09/LLL7udO3dWj3nssce8GH3605/O/wmEEEJ0F3kyOW644YbK4MGDK08++WRl27Zt1Xb48GG/f9OmTZUVK1ZUXnzxxcrmzZsrjzzySGXSpEmVSy65pHqNY8eOVSZPnlyZPXt2ZePGjZU1a9ZURo4cWVm2bFnm+1BWoZqamprr2qzCXMKV9MarVq3y+7ds2eJFatiwYZUTTzyxcs4551SWLl36sRv74x//WJk7d25l4MCBlREjRlS+/e1vV44ePZr5PiRcampqaq5rhavP/xekUoHkjMGDB/f2bQghhGgQDKvKm7dQylqFJdRaIYQQBfXnpRSuQ4cO9fYtCCGE6KX+vJSuQgx+xqBmZCFu3bpV6fERONZNzyeOnk86ej610TNq7PlAeiBaKFbRt2/f1gxA7k3wIU8//XS/rnFd6ej5pKPnk46eT230jOp/PvXmKpTSVSiEEKJ7kXAJIYQoFaUVLpSBuuOOO/xSfBw9n3T0fNLR86mNnlHvPZ9SJmcIIYToXkprcQkhhOhOJFxCCCFKhYRLCCFEqZBwCSGEKBWlFK6f/exn7qyzznInnXSSn6jy+eefd93ID37wA9enT58e7dxzz63u/+CDD/xM1cOHD3ennnqqu+qqqz42iWen8dRTT7nLL7/cj8bH83j44Yd77Ecu0u233+7nhxs4cKCbNWuWe+utt3ocs3fvXnfNNdf4QZNDhgxxCxYscO+9957rhudz7bXXfuw7demll3bF81m5cqW76KKL3GmnneZGjRrlrrjiCl+hx5Llf2rLli3usssucyeffLK/ztKlS92xY8dcJ7AywzOaMWPGx75D119/faHPqHTC9atf/cotWbLEp1n+4Q9/cFOmTHFz5szpMTFlN/GZz3zGbdu2rdqefvrp6r5bbrnFPfroo+7BBx9069atc++++66bN2+e62Tef/99/53Aj5sYd955p7vrrrvcvffe65577jl3yimn+O8POiSCTvnVV1/1E5xipm909osWLXLd8HwAhMp+p37xi1/02N+pzwf/IxClZ5991n+2o0ePutmzZ/tnlvV/6vjx475D/vDDD90zzzzj7rvvPrd69Wr/Y6kTWJfhGYGFCxf2+A7h/67QZ1QpGZ/97GcrN954Y/X18ePHK+PGjausXLmy0m3ccccdlSlTpkT37d+/v9K/f//Kgw8+WN32+uuv+/lv1q9fX+kG8Fkfeuih6uuPPvqoMmbMmMqPfvSjHs8Jc8f94he/8K9fe+01f94LL7xQPeb3v/99pU+fPpX/+Z//qXTy8wHz58+vfPWrX008p5uez86dO/1nXbduXeb/qd/97neVvn37VrZv31495p577qkMGjSocuTIkUqnsTN4RuCLX/xi5Vvf+lbiOUU8o1JZXFDoDRs2ePeOrVuI1+vXr3fdCNxccPtMmjTJ/xKGCQ7wnPBryD4ruBHHjx/ftc9q8+bNbvv27T2eCWqlwd3MZ4Il3F8XXnhh9Rgcj+8ZLLRu4Mknn/Tum0996lPuhhtucHv27Knu66bng3miwLBhwzL/T2F5/vnnu9GjR1ePgUWPgrOwUjuNA8EzIvfff78bMWKEmzx5slu2bJk7fPhwdV8Rz6hURXZ3797tzUz7gQFev/HGG67bQIcLExsdDMzx5cuXuy984QvulVde8R30gAEDfCcTPivs60b4uWPfH+7DEp22pV+/fv4fsxueG9yEcH1NnDjRvf322+62225zc+fO9Z3NCSec0DXPBzNQ3Hzzze7iiy/2nS/I8j+FZez7xX2dxEeRZwS+8Y1vuAkTJvgf1C+99JK79dZbfRzsN7/5TWHPqFTCJXqCDoVccMEFXsjwhfn1r3/tEw+EyMvVV19dXcevYnyvzj77bG+FzZw503ULiOPgB6CNGYtsz8jGO/EdQiIUvjv4IYTvUhGUylUI0xO/+sIsHrweM2aM63bwS/CTn/yk27Rpk38ecK3u37+/xzHd/Kz4udO+P1iGiT7IdkImXTc+N7ig8X+H71S3PJ/Fixf7pJMnnnjCnXHGGdXtWf6nsIx9v7ivU1ic8Ixi4Ac1sN+hRp9RqYQLZvrUqVPd448/3sNcxevp06e7bgcpyfhVg184eE79+/fv8axgriMG1q3PCu4v/GPYZwK/OmIzfCZYomNCPIOsXbvWf8/4D9hNvPPOOz7Ghe9Upz8f5KugQ37ooYf8Z8L3xZLlfwrLl19+uYe4I/sOQwcw8W3ZqdR4RjE2btzol/Y71PAzqpSMX/7ylz4LbPXq1T7DadGiRZUhQ4b0yFDpFr797W9XnnzyycrmzZsr//Vf/1WZNWtWZcSIET7TB1x//fWV8ePHV9auXVt58cUXK9OnT/etkzl06FDlv//7v33D1/tf/uVf/Pqf/vQnv/+f//mf/fflkUceqbz00ks+g27ixImVP//5z9VrXHrppZW//Mu/rDz33HOVp59+uvKJT3yi8vWvf73S6c8H+77zne/4DDl8p/7zP/+z8ld/9Vf+83/wwQcd/3xuuOGGyuDBg/3/1LZt26rt8OHD1WNq/U8dO3asMnny5Mrs2bMrGzdurKxZs6YycuTIyrJlyyqdwA01ntGmTZsqK1as8M8G3yH8n02aNKlyySWXFPqMSidc4O677/ZfngEDBvj0+GeffbbSjXzta1+rjB071j+H008/3b/GF4egM/77v//7ytChQysnn3xy5corr/Rfsk7miSee8B1y2JDmzZT473//+5XRo0f7H0AzZ86svPnmmz2usWfPHt8Rn3rqqT5F97rrrvOdeqc/H3Q+6EzQiSDte8KECZWFCxd+7Edhpz6f2HNBW7VqVa7/qT/+8Y+VuXPnVgYOHOh/SOIH5tGjRyudgKvxjLZs2eJFatiwYf7/65xzzqksXbq0cuDAgUKfkaY1EUIIUSpKFeMSQgghJFxCCCFKhYRLCCFEqZBwCSGEKBUSLiGEEKVCwiWEEKJUSLiEEEKUCgmXEEKIUiHhEkIIUSokXEIIIUqFhEsIIUSpkHAJIYRwZeL/AVwPM8vR2rByAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pip.update()\n", - "image = pip.resolve()\n", - "plt.imshow(image, cmap='gray');" - ] - }, - { - "cell_type": "markdown", - "id": "81954cf7", - "metadata": {}, - "source": [ - "### 3.3 Streptococcus:\n", - "Streptococci are spherical bacteria that typically grow in chains. A simple way to describe them is as a series of spheres arranged along an axis. The example `Streptococcus` class implements this approach, and also allows the chain to bend smoothly to better resemble natural growth patterns." - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "id": "6cd544ec", - "metadata": {}, - "outputs": [], - "source": [ - "class Streptococcus(dt.Scatterer):\n", - " __conversion_table__ = ConversionTable(\n", - " radius=(u.meter, u.meter),\n", - " length=(u.meter, u.meter),\n", - " rotation=(u.radian, u.radian),\n", - " )\n", - "\n", - " def __init__(\n", - " self,\n", - " radius=0.5e-6,\n", - " n_coccus=5,\n", - " rotation=(0, 0, 0),\n", - " max_chain_bend=0,\n", - " refractive_index=1.38,\n", - " **kwargs\n", - " ):\n", - " super().__init__(\n", - " radius=radius,\n", - " n_coccus=n_coccus,\n", - " rotation=rotation,\n", - " max_chain_bend=max_chain_bend,\n", - " refractive_index=refractive_index,\n", - " **kwargs\n", - " )\n", - "\n", - " def _process_properties(self, properties):\n", - " properties = super()._process_properties(properties)\n", - "\n", - " # Ensure radius iis scalar\n", - " radius = np.array(properties[\"radius\"])\n", - " if radius.size > 1:\n", - " radius = radius[0]\n", - " properties[\"radius\"] = float(radius)\n", - "\n", - " # Ensure n_bacilli is int\n", - " properties[\"n_coccus\"] = int(properties.get(\"n_coccus\"))\n", - "\n", - " # Ensure rotation is 3 values\n", - " rotation = np.array(properties[\"rotation\"])\n", - " if rotation.ndim == 0:\n", - " rotation = [rotation, 0, 0]\n", - " elif rotation.size == 1:\n", - " rotation = [rotation[0], 0, 0]\n", - " elif rotation.size == 2:\n", - " rotation = [rotation[0], rotation[1], 0]\n", - " properties[\"rotation\"] = tuple(rotation)\n", - "\n", - " return properties\n", - "\n", - " def get(\n", - " self,\n", - " *ignore,\n", - " radius,\n", - " n_coccus,\n", - " rotation,\n", - " max_chain_bend,\n", - " voxel_size,\n", - " **kwargs\n", - " ):\n", - " # Determine grid size\n", - " rad_ceil = np.ceil(radius / np.min(voxel_size[:2]))\n", - " len_ceil = rad_ceil * n_coccus\n", - " ceil = len_ceil\n", - "\n", - " # Create grid\n", - " x = np.arange(-ceil, ceil) * voxel_size[0]\n", - " y = np.arange(-ceil, ceil) * voxel_size[1]\n", - " z = np.arange(-ceil, ceil) * voxel_size[2]\n", - " Y, X, Z = np.meshgrid(y, x, z)\n", - "\n", - " # Rotate the grid\n", - " cos = np.cos(rotation)\n", - " sin = np.sin(rotation)\n", - " XR = (\n", - " cos[0] * cos[1] * X\n", - " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", - " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", - " )\n", - " YR = (\n", - " sin[0] * cos[1] * X\n", - " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", - " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", - " )\n", - " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", - "\n", - " shift = 2 * radius\n", - " total_length = n_coccus * 2 * radius\n", - "\n", - " mask = np.zeros_like(XR, dtype=bool)\n", - "\n", - " # Generate smooth random offsets along the chain\n", - " bend_x_offsets = (np.random.rand(n_coccus) - 0.5) * 2 * max_chain_bend\n", - " bend_z_offsets = (np.random.rand(n_coccus) - 0.5) * 2 * max_chain_bend\n", - " \n", - " # Smooth offsets for more natural curve\n", - " for i in range(1, n_coccus):\n", - " bend_x_offsets[i] = 0.7 * bend_x_offsets[i-1] + 0.3 * bend_x_offsets[i]\n", - " bend_z_offsets[i] = 0.7 * bend_z_offsets[i-1] + 0.3 * bend_z_offsets[i]\n", - " \n", - " shift = 2 * radius\n", - " total_length = n_coccus * shift\n", - " \n", - " for i in range(n_coccus):\n", - " # Shift along Y and add realistic random bend\n", - " YR_shifted = YR - i*shift + total_length/2 - shift/2\n", - " XR_shifted = XR - bend_x_offsets[i]\n", - " ZR_shifted = ZR - bend_z_offsets[i]\n", - " \n", - " coccus_mask = (XR_shifted**2 + YR_shifted**2 + ZR_shifted**2) < radius**2\n", - " mask |= coccus_mask\n", - "\n", - " return mask.astype(float)" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "id": "8237d583", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "strepto = Streptococcus(\n", - " position=(128, 128)\n", - ")\n", - "\n", - "optics = dt.Fluorescence(\n", - " output_region=(0, 0, 256, 256)\n", - ")\n", - "\n", - "pip = optics(strepto)\n", - "\n", - "pip.update()\n", - "image = pip.resolve()\n", - "plt.imshow(image, cmap='gray');" - ] - }, - { - "cell_type": "markdown", - "id": "e33c5716", - "metadata": {}, - "source": [ - "Parameters such as the number of spheres, their radius, and the amount of bending can be adjusted. As with the other examples, several chains can be placed in the same image to simulate more complex bacterial populations." - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "id": "ccf5786c", - "metadata": {}, - "outputs": [], - "source": [ - "strepto = Streptococcus(\n", - " position=lambda: np.random.uniform(50, 206, 2),\n", - " n_coccus=lambda: np.random.randint(5, 12),\n", - " max_chain_bend=1.5e-6,\n", - " rotation=lambda: np.random.uniform(0, 2*np.pi),\n", - ")\n", - "\n", - "optics = dt.Fluorescence(\n", - " output_region=(0, 0, 256, 256)\n", - ")\n", - "\n", - "pip = optics(strepto ^ 3)" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "id": "8edbfff0", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pip.update()\n", - "image = pip.resolve()\n", - "plt.imshow(image, cmap='gray');" - ] } ], "metadata": { diff --git a/tutorials/1-getting-started/DTGS171B_custom_scatterers_bacteria.ipynb b/tutorials/1-getting-started/DTGS171B_custom_scatterers_bacteria.ipynb new file mode 100644 index 000000000..894cd66f9 --- /dev/null +++ b/tutorials/1-getting-started/DTGS171B_custom_scatterers_bacteria.ipynb @@ -0,0 +1,756 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "df7f67e1", + "metadata": {}, + "source": [ + "# Creating Custom Scatterers: Bacteria\n", + "\n", + "\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "e7fb75d7", + "metadata": {}, + "outputs": [], + "source": [ + "# !pip install deeptrack # Uncomment if running on Colab/Kaggle." + ] + }, + { + "cell_type": "markdown", + "id": "8eed90ca", + "metadata": {}, + "source": [ + "In addition to simple geometric scatterers, DeepTrack also makes it possible to describe biological structures with more complex shapes. The examples below show how common bacterial morphologies can be represented as scatterers. These implementations are not intended as exact models of bacterial structure, but rather as demonstrations of how such scatterers can be created and adapted. You can use them directly, or take them as inspiration to design custom scatterers that fit your own application.\n", + "\n", + "The examples are implemented in NumPy, though the same approach can be applied in PyTorch if preferred. If you would like to understand in more detail how scatterers are constructed in DeepTrack, you may first want to look at the [introductory tutorial on custom scatterers](./DTGS171A_custom_scatterers.ipynb)." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "c830d4a2", + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "import deeptrack as dt\n", + "\n", + "# Depending on your installed version of Deeptrack, you might have to exchange\n", + "# the next line for \"from deeptrack import units_registry as u\"\n", + "from deeptrack import units as u\n", + "from deeptrack.backend.units import ConversionTable" + ] + }, + { + "cell_type": "markdown", + "id": "13fc21db", + "metadata": {}, + "source": [ + "## 1. Bacillus\n", + "\n", + "Rod-shaped bacteria (bacilli) can be represented by combining a cylinder with hemispherical caps. The example `Bacillus` class below also includes the option to add bending along the length of the rod." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "dae956e8", + "metadata": {}, + "outputs": [], + "source": [ + "class Bacillus(dt.Scatterer):\n", + " __conversion_table__ = ConversionTable(\n", + " radius=(u.meter, u.meter),\n", + " length=(u.meter, u.meter),\n", + " rotation=(u.radian, u.radian),\n", + " )\n", + "\n", + " def __init__(\n", + " self,\n", + " radius=0.5e-6,\n", + " length=2e-6,\n", + " rotation=(0, 0, 0),\n", + " max_bacillus_bend=0,\n", + " refractive_index=1.38,\n", + " **kwargs\n", + " ):\n", + " super().__init__(\n", + " radius=radius,\n", + " length=length,\n", + " rotation=rotation,\n", + " max_bacillus_bend=max_bacillus_bend,\n", + " refractive_index=refractive_index,\n", + " **kwargs\n", + " )\n", + "\n", + " def _process_properties(self, properties):\n", + " properties = super()._process_properties(properties)\n", + "\n", + " # Ensure radius iis scalar\n", + " radius = np.array(properties[\"radius\"])\n", + " if radius.size > 1:\n", + " radius = radius[0]\n", + " properties[\"radius\"] = float(radius)\n", + "\n", + " # Ensure length is scalar\n", + " properties[\"length\"] = float(properties[\"length\"])\n", + "\n", + " # Ensure rotation is 3 values\n", + " rotation = np.array(properties[\"rotation\"])\n", + " if rotation.ndim == 0:\n", + " rotation = [rotation, 0, 0]\n", + " elif rotation.size == 1:\n", + " rotation = [rotation[0], 0, 0]\n", + " elif rotation.size == 2:\n", + " rotation = [rotation[0], rotation[1], 0]\n", + " properties[\"rotation\"] = tuple(rotation)\n", + "\n", + " return properties\n", + "\n", + " def get(\n", + " self,\n", + " *ignore,\n", + " radius,\n", + " length,\n", + " rotation,\n", + " max_bacillus_bend,\n", + " voxel_size,\n", + " **kwargs\n", + " ):\n", + "\n", + " # Determine grid size\n", + " rad_ceil = np.ceil(radius / np.min(voxel_size[:2]))\n", + " len_ceil = np.ceil(length * 0.5 / voxel_size[2]) + rad_ceil\n", + " ceil = int(max(rad_ceil, len_ceil))\n", + "\n", + " # Create the grid\n", + " x = np.arange(-ceil, ceil) * voxel_size[0]\n", + " y = np.arange(-ceil, ceil) * voxel_size[1]\n", + " z = np.arange(-ceil, ceil) * voxel_size[2]\n", + " Y, X, Z = np.meshgrid(y, x, z)\n", + "\n", + " # Rotate the grid\n", + " cos = np.cos(rotation)\n", + " sin = np.sin(rotation)\n", + " XR = (\n", + " cos[0] * cos[1] * X\n", + " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", + " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", + " )\n", + " YR = (\n", + " sin[0] * cos[1] * X\n", + " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", + " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", + " )\n", + " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", + "\n", + " # Apply wave-like bending along the lenght of the bacillus\n", + " bend_amp_x = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", + " bend_amp_z = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", + " lateral_offset_x = bend_amp_x * np.cos(np.pi * YR / length)\n", + " lateral_offset_z = bend_amp_z * np.cos(np.pi * YR / length)\n", + " XR -= lateral_offset_x\n", + " ZR -= lateral_offset_z\n", + " \n", + " # Cylinder mask\n", + " cyl_mask = ((XR**2 / radius ** 2 + ZR**2 / radius ** 2) < 1) & (\n", + " np.abs(YR) < (length / 2)\n", + " )\n", + " # Hemispherical caps\n", + " cap_mask = ((XR**2 + ZR**2 + (np.abs(YR) - (length/2))**2) < radius**2)\n", + "\n", + " # Combine the cylinder with the end-caps to form the full bacillus shape\n", + " mask = cyl_mask | cap_mask\n", + "\n", + " return mask.astype(float)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "a1696c4c", + "metadata": {}, + "outputs": [], + "source": [ + "bacillus = Bacillus(\n", + " position=(64, 64),\n", + ")\n", + "\n", + "optics = dt.Fluorescence()\n", + "\n", + "pip = optics(bacillus)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "408f26a0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + }, + { + "cell_type": "markdown", + "id": "cac8caab", + "metadata": {}, + "source": [ + "Once defined, bacilli can be placed at specific or random positions, given random orientations, and varied in size. Several instances can be combined into the same simulation, with tools such as `NonOverlapping` to avoid overlaps." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "3004eeae", + "metadata": {}, + "outputs": [], + "source": [ + "bacillus = Bacillus(\n", + " position=lambda: np.random.uniform(0, 128, 2),\n", + " rotation=lambda: np.random.uniform(0, 2*np.pi),\n", + " length=lambda: np.random.uniform(1.6e-6, 2.6e-6),\n", + " max_bacillus_bend=1e-7,\n", + ")\n", + "\n", + "multiple_bacilli = (bacillus ^ (lambda: np.random.randint(5, 10)))\n", + "\n", + "non_overlap_bac = dt.NonOverlapping(multiple_bacilli, min_distance=3)\n", + "\n", + "pip = optics(non_overlap_bac)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "e88acce8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + }, + { + "cell_type": "markdown", + "id": "2339005e", + "metadata": {}, + "source": [ + "## 2. Streptobacillus\n", + "Streptobacilli are bacteria that form chains of bacilli. This can be modeled by arranging multiple bacilli end-to-end. The class below allows both the individual rods and the entire chain to bend slightly." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "112b8964", + "metadata": {}, + "outputs": [], + "source": [ + "class Streptobacillus(dt.Scatterer):\n", + " __conversion_table__ = ConversionTable(\n", + " radius=(u.meter, u.meter),\n", + " length=(u.meter, u.meter),\n", + " rotation=(u.radian, u.radian),\n", + " )\n", + "\n", + " def __init__(\n", + " self,\n", + " radius=0.5e-6,\n", + " length=2e-6,\n", + " n_bacilli=5,\n", + " rotation=(0, 0, 0),\n", + " max_chain_bend=0,\n", + " max_bacillus_bend=0,\n", + " refractive_index=1.38,\n", + " **kwargs\n", + " ):\n", + " super().__init__(\n", + " radius=radius,\n", + " length=length, # length of each part of the chain\n", + " n_bacilli=n_bacilli,\n", + " rotation=rotation,\n", + " max_chain_bend=max_chain_bend,\n", + " max_bacillus_bend=max_bacillus_bend,\n", + " refractive_index=refractive_index,\n", + " **kwargs\n", + " )\n", + "\n", + " def _process_properties(self, properties):\n", + " properties = super()._process_properties(properties)\n", + "\n", + " # Ensure radius iis scalar\n", + " radius = np.array(properties[\"radius\"])\n", + " if radius.size > 1:\n", + " radius = radius[0]\n", + " properties[\"radius\"] = float(radius)\n", + "\n", + " # # Ensure length is scalar\n", + " # properties[\"length\"] = float(properties[\"length\"])\n", + "\n", + " # Ensure length is float or iterable of floats\n", + " length = properties[\"length\"]\n", + " if np.ndim(length) == 0:\n", + " properties[\"length\"] = float(length)\n", + " else:\n", + " properties[\"length\"] = np.array(length, dtype=float)\n", + "\n", + " # Ensure n_bacilli is int\n", + " properties[\"n_bacilli\"] = int(properties.get(\"n_bacilli\"))\n", + "\n", + " # Ensure rotation is 3 values\n", + " rotation = np.array(properties[\"rotation\"])\n", + " if rotation.ndim == 0:\n", + " rotation = [rotation, 0, 0]\n", + " elif rotation.size == 1:\n", + " rotation = [rotation[0], 0, 0]\n", + " elif rotation.size == 2:\n", + " rotation = [rotation[0], rotation[1], 0]\n", + " properties[\"rotation\"] = tuple(rotation)\n", + "\n", + " return properties\n", + "\n", + " def get(\n", + " self,\n", + " *ignore,\n", + " radius,\n", + " length,\n", + " n_bacilli,\n", + " rotation,\n", + " max_chain_bend,\n", + " max_bacillus_bend,\n", + " voxel_size,\n", + " **kwargs\n", + " ):\n", + " # Determine grid size\n", + " rad_ceil = np.ceil(radius / np.min(voxel_size[:2]))\n", + " len_ceil = (\n", + " np.ceil(length * 0.5 * n_bacilli / voxel_size[2])\n", + " + rad_ceil * n_bacilli\n", + " )\n", + " ceil = int(max(rad_ceil, len_ceil))\n", + "\n", + " # Create grid\n", + " x = np.arange(-ceil, ceil) * voxel_size[0]\n", + " y = np.arange(-ceil, ceil) * voxel_size[1]\n", + " z = np.arange(-ceil, ceil) * voxel_size[2]\n", + " Y, X, Z = np.meshgrid(y, x, z)\n", + "\n", + " # Rotate the grid\n", + " cos = np.cos(rotation)\n", + " sin = np.sin(rotation)\n", + " XR = (\n", + " cos[0] * cos[1] * X\n", + " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", + " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", + " )\n", + " YR = (\n", + " sin[0] * cos[1] * X\n", + " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", + " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", + " )\n", + " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", + "\n", + " shift = length + 2 * radius\n", + " total_length = n_bacilli * (length + 2 * radius)\n", + "\n", + " mask = np.zeros_like(XR, dtype=bool)\n", + "\n", + " for i in range(n_bacilli):\n", + " # Chain-level bending offsets\n", + " bend_chain_x = (np.random.rand() - 0.5) * 2 * max_chain_bend\n", + " bend_chain_z = (np.random.rand() - 0.5) * 2 * max_chain_bend\n", + "\n", + " # Shift chain along Y and apply chain bending\n", + " YR_shifted = YR - i*shift + total_length/2 - shift/2\n", + " XR_shifted = XR - bend_chain_x\n", + " ZR_shifted = ZR - bend_chain_z\n", + "\n", + " # Wave-like bending along the lenght of the bacillus\n", + " bend_amp_x = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", + " bend_amp_z = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", + " lateral_offset_x = bend_amp_x * np.cos(np.pi * YR_shifted / length)\n", + " lateral_offset_z = bend_amp_z * np.cos(np.pi * YR_shifted / length)\n", + " XR_shifted -= lateral_offset_x\n", + " ZR_shifted -= lateral_offset_z\n", + "\n", + " # Cylinder mask\n", + " cyl_mask = (\n", + " (XR_shifted**2 / radius**2 + ZR_shifted**2 / radius**2) < 1\n", + " ) & (np.abs(YR_shifted) < length / 2)\n", + "\n", + " # Hemispherical caps\n", + " cap_mask = (\n", + " XR_shifted**2\n", + " + ZR_shifted**2\n", + " + (np.abs(YR_shifted) - length / 2) ** 2\n", + " ) < radius**2\n", + "\n", + " # Combine the cylinder with the end-caps\n", + " mask |= (cyl_mask | cap_mask)\n", + "\n", + " return mask.astype(float)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "015a12a6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "strepto = Streptobacillus(\n", + " position=(128, 128)\n", + ")\n", + "\n", + "optics = dt.Fluorescence(\n", + " output_region=(0, 0, 256, 256)\n", + ")\n", + "\n", + "pip = optics(strepto)\n", + "\n", + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + }, + { + "cell_type": "markdown", + "id": "29702ffb", + "metadata": {}, + "source": [ + "By adjusting the number of bacilli, their length, and the bending parameters, it is possible to create different chain morphologies. This is one way to mimic the diversity that may appear in experiments." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "43ed1a82", + "metadata": {}, + "outputs": [], + "source": [ + "strepto = Streptobacillus(\n", + " position=lambda: np.random.uniform(50, 206, 2),\n", + " n_bacilli=lambda: np.random.randint(3, 6),\n", + " max_chain_bend=0.15e-6,\n", + " max_bacillus_bend=0.15e-6,\n", + " rotation=lambda: np.random.uniform(0, 2*np.pi),\n", + ")\n", + "\n", + "optics = dt.Fluorescence(\n", + " output_region=(0, 0, 256, 256)\n", + ")\n", + "\n", + "pip = optics(strepto ^ 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "6c2712ef", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + }, + { + "cell_type": "markdown", + "id": "81954cf7", + "metadata": {}, + "source": [ + "## 3. Streptococcus:\n", + "Streptococci are spherical bacteria that typically grow in chains. A simple way to describe them is as a series of spheres arranged along an axis. The example `Streptococcus` class implements this approach, and also allows the chain to bend smoothly." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "6cd544ec", + "metadata": {}, + "outputs": [], + "source": [ + "class Streptococcus(dt.Scatterer):\n", + " __conversion_table__ = ConversionTable(\n", + " radius=(u.meter, u.meter),\n", + " length=(u.meter, u.meter),\n", + " rotation=(u.radian, u.radian),\n", + " )\n", + "\n", + " def __init__(\n", + " self,\n", + " radius=0.5e-6,\n", + " n_coccus=5,\n", + " rotation=(0, 0, 0),\n", + " max_chain_bend=0,\n", + " refractive_index=1.38,\n", + " **kwargs\n", + " ):\n", + " super().__init__(\n", + " radius=radius,\n", + " n_coccus=n_coccus,\n", + " rotation=rotation,\n", + " max_chain_bend=max_chain_bend,\n", + " refractive_index=refractive_index,\n", + " **kwargs\n", + " )\n", + "\n", + " def _process_properties(self, properties):\n", + " properties = super()._process_properties(properties)\n", + "\n", + " # Ensure radius iis scalar\n", + " radius = np.array(properties[\"radius\"])\n", + " if radius.size > 1:\n", + " radius = radius[0]\n", + " properties[\"radius\"] = float(radius)\n", + "\n", + " # Ensure n_bacilli is int\n", + " properties[\"n_coccus\"] = int(properties.get(\"n_coccus\"))\n", + "\n", + " # Ensure rotation is 3 values\n", + " rotation = np.array(properties[\"rotation\"])\n", + " if rotation.ndim == 0:\n", + " rotation = [rotation, 0, 0]\n", + " elif rotation.size == 1:\n", + " rotation = [rotation[0], 0, 0]\n", + " elif rotation.size == 2:\n", + " rotation = [rotation[0], rotation[1], 0]\n", + " properties[\"rotation\"] = tuple(rotation)\n", + "\n", + " return properties\n", + "\n", + " def get(\n", + " self,\n", + " *ignore,\n", + " radius,\n", + " n_coccus,\n", + " rotation,\n", + " max_chain_bend,\n", + " voxel_size,\n", + " **kwargs\n", + " ):\n", + " # Determine grid size\n", + " rad_ceil = np.ceil(radius / np.min(voxel_size[:2]))\n", + " len_ceil = rad_ceil * n_coccus\n", + " ceil = len_ceil\n", + "\n", + " # Create grid\n", + " x = np.arange(-ceil, ceil) * voxel_size[0]\n", + " y = np.arange(-ceil, ceil) * voxel_size[1]\n", + " z = np.arange(-ceil, ceil) * voxel_size[2]\n", + " Y, X, Z = np.meshgrid(y, x, z)\n", + "\n", + " # Rotate the grid\n", + " cos = np.cos(rotation)\n", + " sin = np.sin(rotation)\n", + " XR = (\n", + " cos[0] * cos[1] * X\n", + " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", + " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", + " )\n", + " YR = (\n", + " sin[0] * cos[1] * X\n", + " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", + " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", + " )\n", + " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", + "\n", + " shift = 2 * radius\n", + " total_length = n_coccus * 2 * radius\n", + "\n", + " mask = np.zeros_like(XR, dtype=bool)\n", + "\n", + " # Generate smooth random offsets along the chain\n", + " bend_x_offsets = (np.random.rand(n_coccus) - 0.5) * 2 * max_chain_bend\n", + " bend_z_offsets = (np.random.rand(n_coccus) - 0.5) * 2 * max_chain_bend\n", + " \n", + " # Smooth offsets for more natural curve\n", + " for i in range(1, n_coccus):\n", + " bend_x_offsets[i] = (\n", + " 0.7 * bend_x_offsets[i - 1] + 0.3 * bend_x_offsets[i]\n", + " )\n", + " bend_z_offsets[i] = (\n", + " 0.7 * bend_z_offsets[i - 1] + 0.3 * bend_z_offsets[i]\n", + " )\n", + "\n", + " shift = 2 * radius\n", + " total_length = n_coccus * shift\n", + "\n", + " for i in range(n_coccus):\n", + " # Shift along Y and add realistic random bend\n", + " YR_shifted = YR - i * shift + total_length / 2 - shift / 2\n", + " XR_shifted = XR - bend_x_offsets[i]\n", + " ZR_shifted = ZR - bend_z_offsets[i]\n", + "\n", + " coccus_mask = (\n", + " XR_shifted**2 + YR_shifted**2 + ZR_shifted**2\n", + " ) < radius**2\n", + " mask |= coccus_mask\n", + "\n", + " return mask.astype(float)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "8237d583", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "strepto = Streptococcus(\n", + " position=(128, 128)\n", + ")\n", + "\n", + "optics = dt.Fluorescence(\n", + " output_region=(0, 0, 256, 256)\n", + ")\n", + "\n", + "pip = optics(strepto)\n", + "\n", + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + }, + { + "cell_type": "markdown", + "id": "e33c5716", + "metadata": {}, + "source": [ + "Parameters such as the number of spheres, their radius, and the amount of bending can be adjusted. As with the other examples, several chains can be placed in the same image." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "ccf5786c", + "metadata": {}, + "outputs": [], + "source": [ + "strepto = Streptococcus(\n", + " position=lambda: np.random.uniform(50, 206, 2),\n", + " n_coccus=lambda: np.random.randint(5, 12),\n", + " max_chain_bend=1.5e-6,\n", + " rotation=lambda: np.random.uniform(0, 2*np.pi),\n", + ")\n", + "\n", + "optics = dt.Fluorescence(\n", + " output_region=(0, 0, 256, 256)\n", + ")\n", + "\n", + "pip = optics(strepto ^ 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "8edbfff0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From b7d47ba4354d56319ad8bf21d91ad9d14c20bb49 Mon Sep 17 00:00:00 2001 From: mirjagranfors Date: Mon, 6 Oct 2025 15:48:36 +0200 Subject: [PATCH 4/5] Working on tutorials on scatterers for nuclei and actin/microtuble --- .../DTGS171C_custom_scatterers_nuclei.ipynb | 566 ++++++++++++++++++ ..._custom_scatterers_actin_microtubuli.ipynb | 274 +++++++++ 2 files changed, 840 insertions(+) create mode 100644 tutorials/1-getting-started/DTGS171C_custom_scatterers_nuclei.ipynb create mode 100644 tutorials/1-getting-started/DTGS171D_custom_scatterers_actin_microtubuli.ipynb diff --git a/tutorials/1-getting-started/DTGS171C_custom_scatterers_nuclei.ipynb b/tutorials/1-getting-started/DTGS171C_custom_scatterers_nuclei.ipynb new file mode 100644 index 000000000..32a838cca --- /dev/null +++ b/tutorials/1-getting-started/DTGS171C_custom_scatterers_nuclei.ipynb @@ -0,0 +1,566 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "8aadc10a", + "metadata": {}, + "source": [ + "# Creating Custom Scatterers: Nuclei" + ] + }, + { + "cell_type": "markdown", + "id": "16161431", + "metadata": {}, + "source": [ + "Would rather start from ellipsoid, and slightly modify it, than to create a scatterer from scratch in this case?" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "b208b52f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:pint.util:Redefining '[magnetic_flux]' ()\n" + ] + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "import deeptrack as dt\n", + "\n", + "# Depending on your installed version of Deeptrack, you might have to exchange\n", + "# the next line for \"from deeptrack import units_registry as u\"\n", + "from deeptrack import units as u\n", + "from deeptrack.backend.units import ConversionTable" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "2c68f64d", + "metadata": {}, + "outputs": [], + "source": [ + "class EllipsoidShell(dt.Scatterer):\n", + " __conversion_table__ = ConversionTable(\n", + " radius=(u.meter, u.meter),\n", + " rotation=(u.radian, u.radian),\n", + " thickness=(u.meter, u.meter),\n", + " )\n", + "\n", + " def __init__(\n", + " self,\n", + " radius=1e-6, # Use the radius of the ellipsoid, and build the shell outwards\n", + " rotation=0,\n", + " thickness=1e-7, #3e-8,\n", + " **kwargs\n", + " ):\n", + " super().__init__(\n", + " radius=radius,\n", + " rotation=rotation,\n", + " thickness=thickness,\n", + " **kwargs\n", + " )\n", + "\n", + " def _process_properties(\n", + " self,\n", + " propertydict,\n", + " ):\n", + " \"\"\"Preprocess the input to the method .get()\n", + "\n", + " Ensures that the radius and the rotation properties both are arrays of\n", + " length 3.\n", + "\n", + " If the radius is a single value, the particle is made a sphere\n", + " If the radius are two values, the smallest value is appended as the\n", + " third value\n", + "\n", + " The rotation vector is padded with zeros until it is of length 3\n", + " \"\"\"\n", + "\n", + " propertydict = super()._process_properties(propertydict)\n", + "\n", + " # Ensure radius has three values.\n", + " radius = np.array(propertydict[\"radius\"])\n", + " if radius.ndim == 0:\n", + " radius = np.array([radius])\n", + " if radius.size == 1:\n", + "\n", + " # If only one value, assume sphere.\n", + " radius = (*radius,) * 3\n", + " elif radius.size == 2:\n", + "\n", + " # If two values, duplicate the minor axis.\n", + " radius = (*radius, np.min(radius[-1]))\n", + " elif radius.size == 3:\n", + "\n", + " # If three values, convert to tuple for consistency.\n", + " radius = (*radius,)\n", + " propertydict[\"radius\"] = radius\n", + "\n", + "\n", + " # Ensure rotation has three values.\n", + " rotation = np.array(propertydict[\"rotation\"])\n", + " if rotation.ndim == 0:\n", + " rotation = np.array([rotation])\n", + " if rotation.size == 1:\n", + "\n", + " # If only one value, pad with two zeros.\n", + " rotation = (*rotation, 0, 0)\n", + " elif rotation.size == 2:\n", + "\n", + " # If two values, pad with one zero.\n", + " rotation = (*rotation, 0)\n", + " elif rotation.size == 3:\n", + "\n", + " # If three values, convert to tuple for consistency.\n", + " rotation = (*rotation,)\n", + " propertydict[\"rotation\"] = rotation\n", + "\n", + " # ensure thickness has a single value\n", + " thickness = np.array(propertydict[\"thickness\"])\n", + " if thickness.ndim == 0:\n", + " thickness = np.array([thickness])\n", + " if thickness.size > 1:\n", + " thickness = thickness[:1]\n", + "\n", + " return propertydict\n", + "\n", + " def get(\n", + " self,\n", + " *ignore,\n", + " radius,\n", + " rotation,\n", + " thickness,\n", + " voxel_size,\n", + " **kwargs\n", + " ):\n", + " \n", + " # Create the grid\n", + " rad_ceil = np.ceil((np.max(radius) + thickness) / np.min(voxel_size))\n", + "\n", + " # Create grid to calculate on.\n", + " x = np.arange(-rad_ceil, rad_ceil) * voxel_size[0]\n", + " y = np.arange(-rad_ceil, rad_ceil) * voxel_size[1]\n", + " z = np.arange(-rad_ceil, rad_ceil) * voxel_size[2]\n", + " Y, X, Z = np.meshgrid(y, x, z)\n", + "\n", + " # Rotate the grid\n", + " cos = np.cos(rotation)\n", + " sin = np.sin(rotation)\n", + " XR = (\n", + " (cos[0] * cos[1] * X)\n", + " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", + " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", + " )\n", + " YR = (\n", + " (sin[0] * cos[1] * X)\n", + " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", + " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", + " )\n", + " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", + "\n", + " outer_mask = (\n", + " (XR / (radius[0] + thickness)) ** 2 +\n", + " (YR / (radius[1] + thickness)) ** 2 +\n", + " (ZR / (radius[2] + thickness)) ** 2 < 1\n", + " ) * 1.0\n", + "\n", + " inner_mask = (\n", + " (XR / radius[0]) ** 2 +\n", + " (YR / radius[1]) ** 2 +\n", + " (ZR / radius[2]) ** 2 < 1\n", + " ) * 1.0\n", + "\n", + " mask = outer_mask - inner_mask\n", + "\n", + " return mask" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "c29bbf94", + "metadata": {}, + "outputs": [], + "source": [ + "image_size = 256\n", + "\n", + "max_nucleoli_offset = 15 # in pixels\n", + "\n", + "nucleus_pos = None\n", + "def positions():\n", + " global nucleus_pos\n", + " nucleus_pos = np.random.uniform(30, image_size-30, 2)\n", + " return nucleus_pos\n", + "\n", + "def nucleus_position():\n", + " positions()\n", + " return nucleus_pos\n", + "\n", + "def nucleolus_position():\n", + " return nucleus_pos + np.random.uniform(-max_nucleoli_offset, max_nucleoli_offset, 2)\n", + "\n", + "ellipsoid = dt.Ellipsoid(\n", + " radius=(2, 6, 1.5) * dt.units.um,\n", + " transpose=True,\n", + " position=nucleus_position,\n", + " rotation=lambda: np.random.uniform(0, 2 * np.pi), \n", + " intensity=lambda: np.random.uniform(0.5, 1.5),\n", + " # refractive_index=1.36,\n", + ")\n", + "\n", + "envelope = EllipsoidShell(\n", + " radius=ellipsoid.radius,\n", + " thickness=5e-7,\n", + " position=ellipsoid.position,\n", + " rotation=ellipsoid.rotation,\n", + " # refractive_index=1.46,\n", + " intensity=3, \n", + ")\n", + "\n", + "nucleolus = dt.Ellipsoid(\n", + " radius=lambda: np.random.uniform(0.4, 1.2, 3) * dt.units.um,\n", + " position=nucleolus_position,\n", + " rotation=ellipsoid.rotation,\n", + " intensity=ellipsoid.intensity * -1.5,\n", + " # refractive_index=1.39,\n", + ")\n", + "\n", + "nucleoli = nucleolus ^ (lambda: np.random.randint(1, 3))\n", + "\n", + "nucleus = (ellipsoid >> envelope >> nucleoli)\n", + "\n", + "noisy_nucleus = (\n", + " nucleus\n", + " >> dt.Pad(px=(10, 10, 10, 10))\n", + " >> dt.ElasticTransformation(alpha=100, sigma=5, ignore_last_dim=False)\n", + " >> dt.CropTight()\n", + ")\n", + "\n", + "optics = dt.Fluorescence(\n", + " output_region=(0, 0, image_size, image_size),\n", + " refractive_index_medium=1.37,\n", + ")\n", + "\n", + "# pip = optics(ellipsoid) & optics(envelope) & optics(nucleolus) \n", + "# nuclei = (nucleus ^ 1) >> dt.ElasticTransformation(alpha=40, sigma=7)\n", + "# non_overlap_nuclei = dt.NonOverlapping(nuclei, min_distance=1)\n", + "\n", + "\n", + "from skimage import morphology as skmorph\n", + "\n", + "def get_mask(radius):\n", + " \"\"\"Apply isotropic erosion to a binary mask.\"\"\"\n", + " def inner(mask):\n", + " mask = np.sum(mask, -1, keepdims=True) > 0\n", + " mask = np.pad(mask, [(1, 1), (1, 1), (0, 0)], mode=\"constant\")\n", + " mask = skmorph.isotropic_erosion(mask, radius=radius)\n", + " return mask[1:-1, 1:-1]\n", + " return inner\n", + "\n", + "mask_pip_nucleus = (\n", + " noisy_nucleus\n", + " >> dt.SampleToMasks(get_mask, radius=1, output_region=optics.output_region,\n", + " merge_method=\"or\")\n", + " >> dt.AsType(\"float\")\n", + ")\n", + "\n", + "mask_pip_envelope = (\n", + " envelope\n", + " >> dt.SampleToMasks(get_mask, radius=1, output_region=optics.output_region,\n", + " merge_method=\"or\")\n", + " >> dt.AsType(\"float\")\n", + ")\n", + "\n", + "\n", + "pip = optics(noisy_nucleus) & mask_pip_nucleus & mask_pip_envelope\n", + "\n", + "# optics_b = dt.Brightfield(\n", + "# output_region=optics.output_region,\n", + "# refractive_index_medium=1.37,\n", + "# wavelength=5.5e-7,\n", + "# NA=0.65,\n", + "# )\n", + "\n", + "# pip = optics_b(nuclei)" + ] + }, + { + "cell_type": "markdown", + "id": "453f9e1d", + "metadata": {}, + "source": [ + "# To Do\n", + "- add different refractive indices and intensities for the different parts of the cell\n", + " * check that it looks reasonable in fluorescence and brightfield\n", + "\n", + "- find out how to add elastic transformation to the shell and nucleus together\n", + "\n", + "- add noise to the simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "72f36c10", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip.update()\n", + "image, mask1, mask2 = pip.resolve()\n", + "\n", + "fig, ax = plt.subplots(1, 3, figsize=(12, 5))\n", + "\n", + "ax[0].imshow(image, cmap='gray')\n", + "ax[1].imshow(mask1, cmap='gray')\n", + "ax[2].imshow(mask2, cmap='gray');" + ] + }, + { + "cell_type": "markdown", + "id": "50be7c2d", + "metadata": {}, + "source": [ + "Is the elastic transformation applied to stacked objects \"together\" or separately? --> Try on a simpler example" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "14e4eafd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "class Circle(dt.Feature):\n", + " \"\"\"Feature that adds a circle to the image.\"\"\"\n", + "\n", + " def get(self, image, position, radius, intensity, **kwargs):\n", + " X, Y = np.meshgrid(np.arange(image.shape[0]),\n", + " np.arange(image.shape[1]))\n", + " mask = (X - position[0]) ** 2 + (Y - position[1]) ** 2 < radius ** 2\n", + " image[mask] = intensity\n", + " return image\n", + "\n", + "circle1 = Circle(\n", + " position=lambda: np.random.rand(2) * 512,\n", + " radius=lambda: 20 + np.random.rand() * 20,\n", + " intensity=1,\n", + ")\n", + "\n", + "# Add a circle with 2/3 the radius and 2 times the intensity of circle1.\n", + "circle2 = Circle(\n", + " position=circle1.position,\n", + " radius=circle1.radius * 0.66,\n", + " intensity=circle1.intensity * 2,\n", + ")\n", + "\n", + "# Add a circle with 1/3 the radius and 3 times the intensity of circle1.\n", + "circle3 = Circle(\n", + " position=circle1.position,\n", + " radius=circle1.radius * 0.33,\n", + " intensity=circle1.intensity * 3,\n", + ")\n", + "\n", + "\n", + "stacked_circles = circle1 >> circle2 >> circle3\n", + "\n", + "many_stacked_circles = (\n", + " (stacked_circles ^ (lambda: np.random.randint(5, 10)))\n", + " >> dt.ElasticTransformation(alpha=250, sigma=8, ignore_last_dim=False, mode='constant')\n", + ")\n", + " \n", + "\n", + "input_image = np.zeros((512, 512))\n", + "\n", + "output_image = many_stacked_circles.update()(input_image) \n", + "\n", + "plt.imshow(output_image, cmap=\"gray\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "14a1e7c9", + "metadata": {}, + "source": [ + "Simpler simulation, inspired by cell_counting notebook. Works for fluorescence microscopy. Can we make it look okay for brightfield too?" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "c74247c7", + "metadata": {}, + "outputs": [], + "source": [ + "image_size = 128\n", + "\n", + "ellipsoid = dt.Ellipsoid(\n", + " radius=lambda: (np.random.uniform(5, 7),\n", + " np.random.uniform(4, 6),\n", + " np.random.uniform(3, 5)) * dt.units.um,\n", + " intensity=lambda: np.random.uniform(0.5, 1.5),\n", + " position=(64, 64), #lambda: np.random.uniform(5, image_size - 5, size=2),\n", + " rotation=lambda: np.random.uniform(0, 2 * np.pi),\n", + ")\n", + "\n", + "small_ellipsoid = dt.Ellipsoid(\n", + " radius=lambda: (np.random.uniform(1, 1.8),\n", + " np.random.uniform(1, 1.8),\n", + " np.random.uniform(1, 1.5)) * dt.units.um,\n", + " intensity=ellipsoid.intensity * -1, #lambda: np.random.uniform(-0.6, -0.3),\n", + " position=ellipsoid.position,\n", + ")\n", + "\n", + "stacked_ellipsoids = ellipsoid >> small_ellipsoid\n", + "\n", + "synthetic_nuclei = (\n", + " (stacked_ellipsoids)# ^ (lambda: np.random.randint(5, 10)))\n", + " >> dt.Pad(px=(10, 10, 10, 10), keep_size=False)\n", + " >> dt.ElasticTransformation(alpha=100, sigma=10)\n", + " >> dt.CropTight()\n", + ")\n", + "\n", + "synthetic_nuclei_mask = synthetic_nuclei > 0\n", + "\n", + "long_range_noise = (synthetic_nuclei >> dt.Poisson(snr=0.2)\n", + " >> dt.GaussianBlur(sigma=3.5))\n", + "short_range_noise = (synthetic_nuclei >> dt.Poisson(snr=1.0)\n", + " >> dt.GaussianBlur(sigma=1.5))\n", + "random_range_noise = (\n", + " synthetic_nuclei\n", + " >> dt.Poisson(snr=0.2)#lambda: np.random.uniform(0.2, 1))\n", + " >> dt.GaussianBlur(sigma=lambda: np.random.uniform(0.75, 1.5))\n", + ")\n", + "noisy_synthetic_nuclei = (\n", + " synthetic_nuclei_mask\n", + " * (long_range_noise + short_range_noise + random_range_noise) / 3\n", + ")\n", + "\n", + "# non_overlap_nuclei = dt.NonOverlapping(noisy_synthetic_nuclei, min_distance=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "47f9252c", + "metadata": {}, + "outputs": [], + "source": [ + "optics = dt.Fluorescence()\n", + "\n", + "pip = optics(noisy_synthetic_nuclei)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "d911418c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "24df1971", + "metadata": {}, + "outputs": [], + "source": [ + "optics = dt.Brightfield()\n", + "\n", + "pip = optics(noisy_synthetic_nuclei)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "1b9d1428", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/tutorials/1-getting-started/DTGS171D_custom_scatterers_actin_microtubuli.ipynb b/tutorials/1-getting-started/DTGS171D_custom_scatterers_actin_microtubuli.ipynb new file mode 100644 index 000000000..c630ad539 --- /dev/null +++ b/tutorials/1-getting-started/DTGS171D_custom_scatterers_actin_microtubuli.ipynb @@ -0,0 +1,274 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "8aadc10a", + "metadata": {}, + "source": [ + "# Creating Custom Scatterers: Actin and Microtubuli" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "54aa24e5", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:pint.util:Redefining '[magnetic_flux]' ()\n" + ] + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "import deeptrack as dt\n", + "\n", + "# Depending on your installed version of Deeptrack, you might have to exchange\n", + "# the next line for \"from deeptrack import units_registry as u\"\n", + "from deeptrack import units as u\n", + "from deeptrack.backend.units import ConversionTable" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "7ef6949c", + "metadata": {}, + "outputs": [], + "source": [ + "class Actin(dt.Scatterer):\n", + " __conversion_table__ = ConversionTable(\n", + " radius=(u.meter, u.meter),\n", + " length=(u.meter, u.meter),\n", + " rotation=(u.radian, u.radian),\n", + " )\n", + "\n", + " def __init__(\n", + " self,\n", + " radius=3.5e-9,\n", + " length=1e-6,\n", + " rotation=(0, 0, 0),\n", + " refractive_index=1.57,\n", + " **kwargs\n", + " ):\n", + " super().__init__(\n", + " radius=radius,\n", + " length=length,\n", + " rotation=rotation,\n", + " refractive_index=refractive_index,\n", + " **kwargs\n", + " )\n", + "\n", + " def _process_properties(self, properties):\n", + " properties = super()._process_properties(properties)\n", + "\n", + " # Ensure radius is of length 1\n", + " radius = np.array(properties[\"radius\"])\n", + " if radius.ndim == 0:\n", + " radius = np.array((properties[\"radius\"]))\n", + " elif radius.size == 1:\n", + " radius = np.array((*radius,))\n", + " else:\n", + " radius = radius[:1]\n", + " properties[\"radius\"] = radius\n", + "\n", + " # Ensure length is scalar\n", + " properties[\"length\"] = float(properties[\"length\"])\n", + "\n", + " # Ensure rotation is 3 values\n", + " rotation = np.array(properties[\"rotation\"])\n", + " if rotation.ndim == 0:\n", + " rotation = [rotation, 0, 0]\n", + " elif rotation.size == 1:\n", + " rotation = [rotation[0], 0, 0]\n", + " elif rotation.size == 2:\n", + " rotation = [rotation[0], rotation[1], 0]\n", + " properties[\"rotation\"] = tuple(rotation)\n", + "\n", + " return properties\n", + "\n", + " def get(\n", + " self,\n", + " *ignore,\n", + " radius,\n", + " length,\n", + " rotation,\n", + " voxel_size,\n", + " **kwargs\n", + " ):\n", + "\n", + " # Determine grid size\n", + " rad_ceil = np.ceil(radius / np.min(voxel_size[:2]))\n", + " len_ceil = np.ceil(length * 0.5 / voxel_size[2])\n", + " ceil = int(max(rad_ceil, len_ceil))\n", + "\n", + " # Create grid\n", + " x = np.arange(-ceil, ceil) * voxel_size[0]\n", + " y = np.arange(-ceil, ceil) * voxel_size[1]\n", + " z = np.arange(-ceil, ceil) * voxel_size[2]\n", + " Y, X, Z = np.meshgrid(y, x, z)\n", + "\n", + " # Rotate the grid\n", + " cos = np.cos(rotation)\n", + " sin = np.sin(rotation)\n", + " XR = (\n", + " cos[0] * cos[1] * X\n", + " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", + " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", + " )\n", + " YR = (\n", + " sin[0] * cos[1] * X\n", + " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", + " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", + " )\n", + " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", + "\n", + " # Cylinder mask\n", + " mask = ((XR**2 / radius ** 2 + ZR**2 / radius ** 2) < 1) & (\n", + " np.abs(YR) < length / 2\n", + " )\n", + "\n", + " return mask.astype(float)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "def743fe", + "metadata": {}, + "outputs": [], + "source": [ + "actin = Actin(\n", + " position=lambda: np.random.uniform(5, 27, 2),\n", + " # rotation=lambda: np.random.uniform(0, np.pi * 0.2, 2),\n", + " length=2e-6,\n", + ")\n", + "\n", + "optics = dt.Fluorescence(\n", + " output_region=(0, 0, 32, 32),\n", + " # resolution=2e-7,\n", + " )\n", + "\n", + "pip = optics(actin ^ 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "ca57c558", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip.update()\n", + "image = pip.resolve()\n", + "plt.imshow(image, cmap='gray');" + ] + }, + { + "cell_type": "markdown", + "id": "aadad1a6", + "metadata": {}, + "source": [ + "microtuble\n", + "- refractive index = 2.8\n", + "- diameter = 25nm\n", + "\n", + "actin\n", + "- refractive index = 1.57\n", + "- diameter = 7 nm\n", + "- two strands, twisted around each other. Maybe good enough as a cylinder?\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "ceb667c5", + "metadata": {}, + "outputs": [], + "source": [ + "stripe = dt.Ellipse(\n", + " position = lambda: np.random.uniform(5, 123, 2),\n", + " radius=(0.025, 0.5) * dt.units.um\n", + ") \n", + "\n", + "stripes = stripe ^ 5\n", + "\n", + "optics = dt.Fluorescence()\n", + "\n", + "pip = optics(stripes) >> dt.ElasticTransformation(alpha=10, sigma=4)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "948bc824", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip.update()\n", + "\n", + "im = pip.resolve()\n", + "\n", + "plt.imshow(im, cmap='gray')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From cf1bd5f49c4435cd22692bac5a15f1c5b5dc0b0e Mon Sep 17 00:00:00 2001 From: mirjagranfors Date: Thu, 9 Oct 2025 16:07:13 +0200 Subject: [PATCH 5/5] update tutorials --- .../DTGS171C_custom_scatterers_nuclei.ipynb | 566 ------------------ ..._custom_scatterers_actin_microtubuli.ipynb | 274 --------- 2 files changed, 840 deletions(-) delete mode 100644 tutorials/1-getting-started/DTGS171C_custom_scatterers_nuclei.ipynb delete mode 100644 tutorials/1-getting-started/DTGS171D_custom_scatterers_actin_microtubuli.ipynb diff --git a/tutorials/1-getting-started/DTGS171C_custom_scatterers_nuclei.ipynb b/tutorials/1-getting-started/DTGS171C_custom_scatterers_nuclei.ipynb deleted file mode 100644 index 32a838cca..000000000 --- a/tutorials/1-getting-started/DTGS171C_custom_scatterers_nuclei.ipynb +++ /dev/null @@ -1,566 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "8aadc10a", - "metadata": {}, - "source": [ - "# Creating Custom Scatterers: Nuclei" - ] - }, - { - "cell_type": "markdown", - "id": "16161431", - "metadata": {}, - "source": [ - "Would rather start from ellipsoid, and slightly modify it, than to create a scatterer from scratch in this case?" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "b208b52f", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "WARNING:pint.util:Redefining '[magnetic_flux]' ()\n" - ] - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "\n", - "import deeptrack as dt\n", - "\n", - "# Depending on your installed version of Deeptrack, you might have to exchange\n", - "# the next line for \"from deeptrack import units_registry as u\"\n", - "from deeptrack import units as u\n", - "from deeptrack.backend.units import ConversionTable" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "2c68f64d", - "metadata": {}, - "outputs": [], - "source": [ - "class EllipsoidShell(dt.Scatterer):\n", - " __conversion_table__ = ConversionTable(\n", - " radius=(u.meter, u.meter),\n", - " rotation=(u.radian, u.radian),\n", - " thickness=(u.meter, u.meter),\n", - " )\n", - "\n", - " def __init__(\n", - " self,\n", - " radius=1e-6, # Use the radius of the ellipsoid, and build the shell outwards\n", - " rotation=0,\n", - " thickness=1e-7, #3e-8,\n", - " **kwargs\n", - " ):\n", - " super().__init__(\n", - " radius=radius,\n", - " rotation=rotation,\n", - " thickness=thickness,\n", - " **kwargs\n", - " )\n", - "\n", - " def _process_properties(\n", - " self,\n", - " propertydict,\n", - " ):\n", - " \"\"\"Preprocess the input to the method .get()\n", - "\n", - " Ensures that the radius and the rotation properties both are arrays of\n", - " length 3.\n", - "\n", - " If the radius is a single value, the particle is made a sphere\n", - " If the radius are two values, the smallest value is appended as the\n", - " third value\n", - "\n", - " The rotation vector is padded with zeros until it is of length 3\n", - " \"\"\"\n", - "\n", - " propertydict = super()._process_properties(propertydict)\n", - "\n", - " # Ensure radius has three values.\n", - " radius = np.array(propertydict[\"radius\"])\n", - " if radius.ndim == 0:\n", - " radius = np.array([radius])\n", - " if radius.size == 1:\n", - "\n", - " # If only one value, assume sphere.\n", - " radius = (*radius,) * 3\n", - " elif radius.size == 2:\n", - "\n", - " # If two values, duplicate the minor axis.\n", - " radius = (*radius, np.min(radius[-1]))\n", - " elif radius.size == 3:\n", - "\n", - " # If three values, convert to tuple for consistency.\n", - " radius = (*radius,)\n", - " propertydict[\"radius\"] = radius\n", - "\n", - "\n", - " # Ensure rotation has three values.\n", - " rotation = np.array(propertydict[\"rotation\"])\n", - " if rotation.ndim == 0:\n", - " rotation = np.array([rotation])\n", - " if rotation.size == 1:\n", - "\n", - " # If only one value, pad with two zeros.\n", - " rotation = (*rotation, 0, 0)\n", - " elif rotation.size == 2:\n", - "\n", - " # If two values, pad with one zero.\n", - " rotation = (*rotation, 0)\n", - " elif rotation.size == 3:\n", - "\n", - " # If three values, convert to tuple for consistency.\n", - " rotation = (*rotation,)\n", - " propertydict[\"rotation\"] = rotation\n", - "\n", - " # ensure thickness has a single value\n", - " thickness = np.array(propertydict[\"thickness\"])\n", - " if thickness.ndim == 0:\n", - " thickness = np.array([thickness])\n", - " if thickness.size > 1:\n", - " thickness = thickness[:1]\n", - "\n", - " return propertydict\n", - "\n", - " def get(\n", - " self,\n", - " *ignore,\n", - " radius,\n", - " rotation,\n", - " thickness,\n", - " voxel_size,\n", - " **kwargs\n", - " ):\n", - " \n", - " # Create the grid\n", - " rad_ceil = np.ceil((np.max(radius) + thickness) / np.min(voxel_size))\n", - "\n", - " # Create grid to calculate on.\n", - " x = np.arange(-rad_ceil, rad_ceil) * voxel_size[0]\n", - " y = np.arange(-rad_ceil, rad_ceil) * voxel_size[1]\n", - " z = np.arange(-rad_ceil, rad_ceil) * voxel_size[2]\n", - " Y, X, Z = np.meshgrid(y, x, z)\n", - "\n", - " # Rotate the grid\n", - " cos = np.cos(rotation)\n", - " sin = np.sin(rotation)\n", - " XR = (\n", - " (cos[0] * cos[1] * X)\n", - " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", - " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", - " )\n", - " YR = (\n", - " (sin[0] * cos[1] * X)\n", - " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", - " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", - " )\n", - " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", - "\n", - " outer_mask = (\n", - " (XR / (radius[0] + thickness)) ** 2 +\n", - " (YR / (radius[1] + thickness)) ** 2 +\n", - " (ZR / (radius[2] + thickness)) ** 2 < 1\n", - " ) * 1.0\n", - "\n", - " inner_mask = (\n", - " (XR / radius[0]) ** 2 +\n", - " (YR / radius[1]) ** 2 +\n", - " (ZR / radius[2]) ** 2 < 1\n", - " ) * 1.0\n", - "\n", - " mask = outer_mask - inner_mask\n", - "\n", - " return mask" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "c29bbf94", - "metadata": {}, - "outputs": [], - "source": [ - "image_size = 256\n", - "\n", - "max_nucleoli_offset = 15 # in pixels\n", - "\n", - "nucleus_pos = None\n", - "def positions():\n", - " global nucleus_pos\n", - " nucleus_pos = np.random.uniform(30, image_size-30, 2)\n", - " return nucleus_pos\n", - "\n", - "def nucleus_position():\n", - " positions()\n", - " return nucleus_pos\n", - "\n", - "def nucleolus_position():\n", - " return nucleus_pos + np.random.uniform(-max_nucleoli_offset, max_nucleoli_offset, 2)\n", - "\n", - "ellipsoid = dt.Ellipsoid(\n", - " radius=(2, 6, 1.5) * dt.units.um,\n", - " transpose=True,\n", - " position=nucleus_position,\n", - " rotation=lambda: np.random.uniform(0, 2 * np.pi), \n", - " intensity=lambda: np.random.uniform(0.5, 1.5),\n", - " # refractive_index=1.36,\n", - ")\n", - "\n", - "envelope = EllipsoidShell(\n", - " radius=ellipsoid.radius,\n", - " thickness=5e-7,\n", - " position=ellipsoid.position,\n", - " rotation=ellipsoid.rotation,\n", - " # refractive_index=1.46,\n", - " intensity=3, \n", - ")\n", - "\n", - "nucleolus = dt.Ellipsoid(\n", - " radius=lambda: np.random.uniform(0.4, 1.2, 3) * dt.units.um,\n", - " position=nucleolus_position,\n", - " rotation=ellipsoid.rotation,\n", - " intensity=ellipsoid.intensity * -1.5,\n", - " # refractive_index=1.39,\n", - ")\n", - "\n", - "nucleoli = nucleolus ^ (lambda: np.random.randint(1, 3))\n", - "\n", - "nucleus = (ellipsoid >> envelope >> nucleoli)\n", - "\n", - "noisy_nucleus = (\n", - " nucleus\n", - " >> dt.Pad(px=(10, 10, 10, 10))\n", - " >> dt.ElasticTransformation(alpha=100, sigma=5, ignore_last_dim=False)\n", - " >> dt.CropTight()\n", - ")\n", - "\n", - "optics = dt.Fluorescence(\n", - " output_region=(0, 0, image_size, image_size),\n", - " refractive_index_medium=1.37,\n", - ")\n", - "\n", - "# pip = optics(ellipsoid) & optics(envelope) & optics(nucleolus) \n", - "# nuclei = (nucleus ^ 1) >> dt.ElasticTransformation(alpha=40, sigma=7)\n", - "# non_overlap_nuclei = dt.NonOverlapping(nuclei, min_distance=1)\n", - "\n", - "\n", - "from skimage import morphology as skmorph\n", - "\n", - "def get_mask(radius):\n", - " \"\"\"Apply isotropic erosion to a binary mask.\"\"\"\n", - " def inner(mask):\n", - " mask = np.sum(mask, -1, keepdims=True) > 0\n", - " mask = np.pad(mask, [(1, 1), (1, 1), (0, 0)], mode=\"constant\")\n", - " mask = skmorph.isotropic_erosion(mask, radius=radius)\n", - " return mask[1:-1, 1:-1]\n", - " return inner\n", - "\n", - "mask_pip_nucleus = (\n", - " noisy_nucleus\n", - " >> dt.SampleToMasks(get_mask, radius=1, output_region=optics.output_region,\n", - " merge_method=\"or\")\n", - " >> dt.AsType(\"float\")\n", - ")\n", - "\n", - "mask_pip_envelope = (\n", - " envelope\n", - " >> dt.SampleToMasks(get_mask, radius=1, output_region=optics.output_region,\n", - " merge_method=\"or\")\n", - " >> dt.AsType(\"float\")\n", - ")\n", - "\n", - "\n", - "pip = optics(noisy_nucleus) & mask_pip_nucleus & mask_pip_envelope\n", - "\n", - "# optics_b = dt.Brightfield(\n", - "# output_region=optics.output_region,\n", - "# refractive_index_medium=1.37,\n", - "# wavelength=5.5e-7,\n", - "# NA=0.65,\n", - "# )\n", - "\n", - "# pip = optics_b(nuclei)" - ] - }, - { - "cell_type": "markdown", - "id": "453f9e1d", - "metadata": {}, - "source": [ - "# To Do\n", - "- add different refractive indices and intensities for the different parts of the cell\n", - " * check that it looks reasonable in fluorescence and brightfield\n", - "\n", - "- find out how to add elastic transformation to the shell and nucleus together\n", - "\n", - "- add noise to the simulation" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "72f36c10", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pip.update()\n", - "image, mask1, mask2 = pip.resolve()\n", - "\n", - "fig, ax = plt.subplots(1, 3, figsize=(12, 5))\n", - "\n", - "ax[0].imshow(image, cmap='gray')\n", - "ax[1].imshow(mask1, cmap='gray')\n", - "ax[2].imshow(mask2, cmap='gray');" - ] - }, - { - "cell_type": "markdown", - "id": "50be7c2d", - "metadata": {}, - "source": [ - "Is the elastic transformation applied to stacked objects \"together\" or separately? --> Try on a simpler example" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "14e4eafd", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "class Circle(dt.Feature):\n", - " \"\"\"Feature that adds a circle to the image.\"\"\"\n", - "\n", - " def get(self, image, position, radius, intensity, **kwargs):\n", - " X, Y = np.meshgrid(np.arange(image.shape[0]),\n", - " np.arange(image.shape[1]))\n", - " mask = (X - position[0]) ** 2 + (Y - position[1]) ** 2 < radius ** 2\n", - " image[mask] = intensity\n", - " return image\n", - "\n", - "circle1 = Circle(\n", - " position=lambda: np.random.rand(2) * 512,\n", - " radius=lambda: 20 + np.random.rand() * 20,\n", - " intensity=1,\n", - ")\n", - "\n", - "# Add a circle with 2/3 the radius and 2 times the intensity of circle1.\n", - "circle2 = Circle(\n", - " position=circle1.position,\n", - " radius=circle1.radius * 0.66,\n", - " intensity=circle1.intensity * 2,\n", - ")\n", - "\n", - "# Add a circle with 1/3 the radius and 3 times the intensity of circle1.\n", - "circle3 = Circle(\n", - " position=circle1.position,\n", - " radius=circle1.radius * 0.33,\n", - " intensity=circle1.intensity * 3,\n", - ")\n", - "\n", - "\n", - "stacked_circles = circle1 >> circle2 >> circle3\n", - "\n", - "many_stacked_circles = (\n", - " (stacked_circles ^ (lambda: np.random.randint(5, 10)))\n", - " >> dt.ElasticTransformation(alpha=250, sigma=8, ignore_last_dim=False, mode='constant')\n", - ")\n", - " \n", - "\n", - "input_image = np.zeros((512, 512))\n", - "\n", - "output_image = many_stacked_circles.update()(input_image) \n", - "\n", - "plt.imshow(output_image, cmap=\"gray\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "14a1e7c9", - "metadata": {}, - "source": [ - "Simpler simulation, inspired by cell_counting notebook. Works for fluorescence microscopy. Can we make it look okay for brightfield too?" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "c74247c7", - "metadata": {}, - "outputs": [], - "source": [ - "image_size = 128\n", - "\n", - "ellipsoid = dt.Ellipsoid(\n", - " radius=lambda: (np.random.uniform(5, 7),\n", - " np.random.uniform(4, 6),\n", - " np.random.uniform(3, 5)) * dt.units.um,\n", - " intensity=lambda: np.random.uniform(0.5, 1.5),\n", - " position=(64, 64), #lambda: np.random.uniform(5, image_size - 5, size=2),\n", - " rotation=lambda: np.random.uniform(0, 2 * np.pi),\n", - ")\n", - "\n", - "small_ellipsoid = dt.Ellipsoid(\n", - " radius=lambda: (np.random.uniform(1, 1.8),\n", - " np.random.uniform(1, 1.8),\n", - " np.random.uniform(1, 1.5)) * dt.units.um,\n", - " intensity=ellipsoid.intensity * -1, #lambda: np.random.uniform(-0.6, -0.3),\n", - " position=ellipsoid.position,\n", - ")\n", - "\n", - "stacked_ellipsoids = ellipsoid >> small_ellipsoid\n", - "\n", - "synthetic_nuclei = (\n", - " (stacked_ellipsoids)# ^ (lambda: np.random.randint(5, 10)))\n", - " >> dt.Pad(px=(10, 10, 10, 10), keep_size=False)\n", - " >> dt.ElasticTransformation(alpha=100, sigma=10)\n", - " >> dt.CropTight()\n", - ")\n", - "\n", - "synthetic_nuclei_mask = synthetic_nuclei > 0\n", - "\n", - "long_range_noise = (synthetic_nuclei >> dt.Poisson(snr=0.2)\n", - " >> dt.GaussianBlur(sigma=3.5))\n", - "short_range_noise = (synthetic_nuclei >> dt.Poisson(snr=1.0)\n", - " >> dt.GaussianBlur(sigma=1.5))\n", - "random_range_noise = (\n", - " synthetic_nuclei\n", - " >> dt.Poisson(snr=0.2)#lambda: np.random.uniform(0.2, 1))\n", - " >> dt.GaussianBlur(sigma=lambda: np.random.uniform(0.75, 1.5))\n", - ")\n", - "noisy_synthetic_nuclei = (\n", - " synthetic_nuclei_mask\n", - " * (long_range_noise + short_range_noise + random_range_noise) / 3\n", - ")\n", - "\n", - "# non_overlap_nuclei = dt.NonOverlapping(noisy_synthetic_nuclei, min_distance=6)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "47f9252c", - "metadata": {}, - "outputs": [], - "source": [ - "optics = dt.Fluorescence()\n", - "\n", - "pip = optics(noisy_synthetic_nuclei)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "d911418c", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pip.update()\n", - "image = pip.resolve()\n", - "plt.imshow(image, cmap='gray');" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "24df1971", - "metadata": {}, - "outputs": [], - "source": [ - "optics = dt.Brightfield()\n", - "\n", - "pip = optics(noisy_synthetic_nuclei)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "1b9d1428", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAakAAAGhCAYAAADbf0s2AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjEsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvc2/+5QAAAAlwSFlzAAAPYQAAD2EBqD+naQABAABJREFUeJztvQ3QdUlVHXye4f9nZhAMM0wYhBgSUBQUEEEqn8pUUCkFIRqsMRmRkgQBgbEExwAGRQf/EUSIlkGtgKgVQUXFIoNKMCO/YkQEx4ICg85MDA7DMPzJ3K/6Fuut9S7W2t3n3Pu87/vc5+6qW7fvuX26d3fv3mvv3X36HKxWq9W0pz3taU972tMZSGedbgb2tKc97WlPe0q0B6k97WlPe9rTGUt7kNrTnva0pz2dsbQHqT3taU972tMZS3uQ2tOe9rSnPZ2xtAepPe1pT3va0xlLe5Da0572tKc9nbG0B6k97WlPe9rTGUt7kNrTnva0pz2dsbQHqT3taU972tMZS6cNpF784hdPd7/73adb3/rW04Me9KDpzW9+8+liZU972tOe9nSG0mkBqV/91V+dLr300un7v//7p7e//e3Tfe973+nhD3/4dO21154Odva0pz3taU9nKB2cjgNmm+f0wAc+cPqZn/mZ9e+bbrppuvDCC6enPOUp0/d+7/d272/5//Zv/3Y6++yzp4ODg1PA8Z72tKc97Wmb1KDnIx/5yHTBBRdMZ52V/aWbT6eYPvnJT05ve9vbpssuu+zEtcbgRRddNF155ZX2nk984hPrD+iDH/zg9AVf8AWnhN897WlPe9rT4dHf/M3fTHe9613PHJD6+7//++nTn/70dN555510vf1+97vfbe+5/PLLp+c+97mfdf0nfuInptvc5jaxrhEva6kn5hxQvubSc78Tv/gA4F2a8zAf/Gnj0L6bZ9o+SDs+uNyb3exm609L3+IWt5hufvObr9O3vOUt19cbH+16+24f5FV+Wl2NGh/tg2uOL+UFH9TR0o0P9AOuIY/2L8pH/fivpbkvkIf50HKcDOCb+1PLQNmunDTm3I/62/Hh2u34TPVqWr9TXa5dLe14TW3DuDk+em2s2qfzB7LCaZZxyDTzpMRj+o//+I8n5PhTn/rU+v92rX1anvYNmdM5B1L5PfjMN+Ya5hX44fxoG/eDyiHLtesnJ2NujDR/Gn+WfaQ/9rGPTc985jPXEbGKTjlILaHmdbU1LND111+/Dg82gGKQGo1cIt82QoWpjKrs9p+bRGli6eSuJrMDKS6PhYXBQIFB72MBxQQGGLWJ09IKUjzJVblw/e2bJzD6p113E055gXLhCYx0UiwKFnOAKY2RG0etx6VHlaob29Q2bSe3p2oH1zmaHgWpVE+SZSfX2k7Xnh74J5BiMGryA7mFfDOQaV/wuEKuFZgcSLFRxO1gHm9GRl5Ku75KwF3JdRqTBFZJz1V1ou2uH88IkPrcz/3cdedec801J11vv88//3x7z61udav1J1GlMKp7RkFNKVmDVVqvVRPbpV19PSsH9bDQ4noTGqf0kuBV9Y1aW3NAQtP4qIJBGyH02r52zfXjnLHX/nPtGgEpvub+V2PE9b+mlRcdb/zvrvfaO5peSpXhldIgbZtSmkecvxrDHs9pnkDemvw1PcdpyDKuO1mo+vug6PNKb/SMIFcf1zkyz6syU7tGZeiUg1Sztu9///tPV1xxxfSoRz1qfa0NXvv95Cc/eePyR5R8TxjnWH/VAMwBgaTkHD9aVq+eyvp3ytPxxHXBmtSwmhPcpJQRFoFl2cIianFyGJDL4XrgMWHiI82eVPutfadWXuU9ub7jsjTNxOW1vsJvBtcUYtW6eopb28d1zKWeUnHK3hlESZb0u6cAR9o5QpoP467GDb6R5jwAohT60zxO5pj3JHOub5jUcKv6oZrrSwy2UZBi/lRezliQatRCd5dccsn0gAc8YPqyL/uy6QUveMH00Y9+dHrc4x63UbmVxTAXvEa8GKSd0OJ6ii8jT68NFU8VWLnyWSHyBOQ1m5ZmYHBt5ng9g1XqUw6/oH7E61u6fbcPgAvXeyDFcXmE+Fw69TmDVPJ0tK8xnlW/p/YrGLr0iKU7Uie3Dfk4zQpuBIB7QNUjVVKpLb3Q9Uj52hf8rf+ldkHuWME6AHbg6Qw1LgdzDDLeW+88KLxm5aci1xdp7NP4pLFy/Qp5c/e6+84okPq3//bfTv/3//7f6TnPec509dVXT/e73/2m1772tZ+1maJHyVLrpTcFKeWBJ3sSWhdr1zag3qQw3aBWimskP6x7DlP07ku863ioEmSQ0rCeTlpcq0BK+4mvpTDhHJBylNpclY++ZYMmpStKStspxF4a9/UUnKtHy9TyXNlpbnA6yVhlYIwApfNeXH9Uc2+OEcPluzHDWLtyEzgxpXHsUaUXqzk/muZrSd7cd49O28aJFtrbRniPKQnQSLr3XyJW8OpNsOJiUKgWhLUNIzvARiY1iBUjt1PL135UC8rxraES5VcXldl7ao8mJE8qgY2G+1BvS2PThQtJuja6tnNeLoP/c1Y1f1cWspPXNM6jE3xUYfXyV23Se+eAViozfVJbVX5HyPW1kwvXHow/5jvPAzePlTdniKD8FGp2/DrqGVacb5uUQHrb9RyJ3X09qgZP/98kDXITiBUS54FwanisUVL2KIO9GgYsx1c1ubkOt/UU96AO571U9TBPDFCqSBh0OMTXvhtI8XUAWeURMUhhRyFAivsba1JJmfTGmRVS8ohTf6ty7oXfElj2rNc0Dr36XJurOt2Y45vHuyo71aP926uTy2KZ6xkHWpbOMQUjTjf5dSClj4K4tqvsgCcHUg6wVgV4zTGwtT91vro8rt/c/b3+PrYgtU0gqrwJR73B1DzOekzt4QmHe0YHPk3wpBySchqhSjB1UmmID6E9DvHpby5HQQpKoxGnnZIdsXi1r/S+pPhG+6waT7VG09hV9WnZzLcaDU45pXrcNXdvr+yqnqqukT6cM1ccnzr32Vis+kXTKWSe2qTRDc2zKrzVJfpKZbY3TokHrqvHU4+vYwFSjUYsJ9CocKcyWFiShZbKmAMEbD2l0J9akfxxYKc8cBiCrbzUHv6t3p1bTGVg4h19CPFVGyfYogSxBYs61UrlLejVZpURgNLyUCfu1TVGN769CVyRA9wqb0VJGbrryXBRBYW0zokKKA7DWHJ1JBBivrn9qJN396kscCTEeVXquTsAZt64v9TzXZmwu/OkRjfeVEZEBUTIr5GSVI5+j+rlnQSpJY0GzbG8tE73W3nplZcmYW9wWXi5HAWetOMOeXUB1ykd179OCMGXU86YQHhol8HIpd0WdJSVQFg3IaDOai2pNy6sgLCLEAqI+5f7yCmmaiznglalvJ0xxP3GyqQyWvS36z+ts2pf4mtOPaOUyk5ANdL/Oq8YsBiYNK0g5jZMMU+6lqv/VSDVA4HUn+66ApRe137lclx/Jnk/FiCVBKxnvXG+nhAfJqkFov/pIM+xRuYK68j/lTWX8gKk8F19FBiTInfWn+bXtYVqMlV94HY/Oj61v5NCdO3adBKnNuh4JcWS2o7fDsBQTqXkqnr0epXW8tJc77WzN8er665f2CjCtcooSv3hvBHXhlXwBEf6JbWjamuVru5PvzU9KutHHqQqhcZUCQCXx+W69Ag/jfj5Iw0dgAdnkahSd8cVcZrbw2WmDRqpTu2D1Mf6Px9dhPI5D/MKzwjt4g0S1bFMleKc47WksVJCWWwRt7zap+pVYSJXPI0AnPKxiUGR7tP/VakmeeU8Kj8ol/tipJ973tMS45E9H/DI/Kh8OAWa5r2WrQ+383FgnOZNPhoWdzKO74MB77LiNxkrFaU5k4yJOeXNHcudASn8VnKdmga9AilXhyoiLYPXMXRNgxWaU+oOpPgQVgYpkIYi8JuFq9pR2AMotyZWWZ98n7aHz+vjXX9uDUrHMwGBG4e5xgfLBu/qYpDicUwg5UKt7nmskbZyufxfD3x7ZTulM2ennXo5SDvZ3FTRKeD1QETnlwJUT96dd891cZ+oXACM2jfSfB+vWaVvpyMOgtc6Mh/n9r0b1175I+UuoZ0AKaT5upvU+N52J47w6XjW/51S57T+n0C5aveIYqt4q/K7djpwc4qiN3lUeTIY9DyriqrJ7drswNcpPaeoK6B3/ZBIlZ62pUqPUAVK/M2KjPlShZb4rQyMSimOtM3x2Ktvzvxw5eE3h5ph6KQHxqvxTvwspaQDU3ouOM2l0TJ3AqR6FqNOukqRqUCyUnG7bdK9adtq2gHH96Ee9TBGj/dvpK8XcLuQqr50wKi/XX9V5SkAu3FCO9w4angF7azGNNXP/Lo26Lhx34MXPYXahXVTPW78XH+4DyuPERl2ac6bFKWbM6lOLkv7UK8nGlGKSd4c34lXlQcnM7prVZ9l0vp4fqFMhLbhXTXS9VHWBz1aDYRwK4PAzZPeuKrM9AwEV6f+N9dJ2BmQmjvRR4CKB71SbHovvllpgR+9T68lkNJ3LrktpwxSHKpygMX9w2UkYEpenTMUqrR7cBF8tTQOitXxS95Teuo/AaMqwSRDOkZctgKsC+E6ZZv6S4nB2rWT8/QAsafQ8Z+Cn7bdKZg0dxLQzAUqLWMk3eOP7+Hx0v5KssTGCtfD46T9yePJxmtS4JUsjlACJ/090lfVXO7VXwHgHKDaCZBCuuqANEhpkrOwKOCwgGvdzJcTflbUWocq1QQICaS4fW4y8H+VxTpHMYxaWtqvOinTmI0+n8JjrKCvdTDv3FcVMGn/uDF1imkuSHEZyKPPrfUAJ/V9BYraP6os9b/UNk073tLvEZms+kHlir9d+TrveV5UCjbVz+UAkHRnKBs0qa+cfKxmhDX5vwRYI/2TZLfip0dzwGknQErXZpIVqOEht+sN+VV4nCehSoTJgRFfT3WyUnUhPg39adhKBZB3prFXxWmniJ0iHQFOJ8BOyVVghLQDoxS+TG1QbxR9qRs3GuF/5dltHNB+wu5Glh1nhVdp1xcOoPl3z8jq1ZP6X7fua59w+3oAPKrU5hpMo+1xClkVOc+l1l5s5mGDzs0D5UfbgHwszzpWuvNQx4HLaVT1ZwId/K5kJo0n18ntV16UXD3uGbFjAVLO2lCB7E34ZDEzGKnnUYFTup+BbS5IYSJhAiVPiicEJh3q5rfj8uQZBanRj+sLpjQ+DoAYmFK6Ag8GI9327qxqbkdlSfNY6mROgOH6KfWP9gnzmPpP6+R651Aqq/K+XT+MtJXvr9ow2h6dXwoQbu1HNzVoGxiw02YYboOuS0IOkWYZ17nLY1nNpVUAKHctGTbpPpZt1x9urNMY8GeuHO4kSFUdX01wh/CqhNwDnTqp3MCmwVHFmCwWtw22pwA47DQSaki8JWKh0/7iPGkiOaXBzxzh2ZJG/NpuTrM3rJMAbcWp6Ok5Ge5z5lmvJUuU21T1nxvXlNeBYS/tfvO16r6eccbrK/hvBBCT9Z/qdPIyt70OoPg/N3bKm8oQgwvLquqcXp9y+ZUMVu1fzTA4VGZxrYoMOD4rSn2H8lMZqoOPBUjNsdLVUncP1XHZakmxVZTAwoFANTAqtLpBwYX4cF37QC0XnlDKl07mSmC471AutzdZ2NpmXVdyDzpymp8zcSClCgcAwM9guVeCtOvtGufRnZOuDQ5oK0WP8ZwDUjqGzrji62ncegDn5or+7/JWdXCb+X+n1HXsRtpQGVepL3ieqx7QcpuMQQ4gnzD6OM3hY22r40PHH/eqgezGYWXC6456uq8KjyuPLKfJQBjhpwdUo3SkQaqRdoQOUhq8lI/LdZMEgsphgmqi4V7llYWxAikWbLe7LvUHwJXrasTAxZ6G5lMe9T+3ldYJpk4QXitjYMJrNhiY2jUGKQY1DVVqfwGYkFfX5VThs8fpAN0p6pHJ7pRMpZTV81MZ4rTylvJpmu9Vo4OjBOyVa3srAElg4mRjadmjSlEVNittx5uG/zi03oCFH8RlXpxho+VrO3j9b0QPrYz8aB9W7e2BFLdBjaEkf46cobMJHXmQGkHmUeR2SjkBnfuvUgq9gazyq4KsFNMcIE7l8X9I645EVWDMi5bb854ATAAuTjN48b2uD3izBK6hbp6A6s0oSKX1vtQ/yIuynLekyqQnHz2Z5X7uKRCXVsNCy3Oy7uQ0gZNrXwUkqVz+7QxH3M/yqO3helQmlS8NsbM8AMB4jN16M+rtAUPVV9q3Skk2q7nvIgA9GV8iv8mQc3weC5ByAOIUc09Y0n9Qirq4qs/GqEBVE7Wi6j7XFgcKbDm5UMcoiHF7tI38PJNrH5fZ857ady/NIOW2nbNywQYJhPhaGfCu+EWL1dmBSSG6NCs08IRFch2faqJXsqljMgIazN9So6yiBEyV/LICr+pLHkSqgzeZuPJ0LkAOuX4edxhI7VpLQ26wAxCypcd5aZv5fEcFh2RcuvFbFeOpfchz371sNfGB/uOIhNM7CsZuPNx9/N8cuvmuA9QcxOZyeSDUsnQAwZQUGv+urBZ3n7NCtP45QK0TuQJpZ31XfdfIrQNCOWDyNCWAa7e85S0/C5jaNRfuczv7OCTK3hNPPM7L/YwyAXCVYtAxqsKDmnb96fqvNyZKDjQrvhWcepb8pgCFOnkjhtad+FCASvXgPzYeExCk9Sm9t/2n4T5el+I8zmhIOojL17akdq0CSI3O/0of9sA9jY2T5Z68LgGrIw9SI9vJl06uNPlHqTfJK2GB8LsdeXqvA1Hdyq1gwdcbpQ0k3A43mZzQ6bikEB+DlNssgZ1+ADU9hoj54U0d+MZ13AdQ0Q0lXB68Zu7rlGbw480sHG7U/pmzcaLyfp3cOHlNcq3yw+PnxtaN/Qh4qCGR6nA8VXVqWzgM50LTvIVcQ328Dsh1cHmQR1yHh8QbIbQP0njqeqrrt9TmVRFed3Um2Uljq+W4tlSkBlaqcxSgjjxIqeKqdl6lAWcryA2CW5/YFKzSxFS+WXmyQkzKh4VfQcItoI5uqx6hakIqSDlPikN8vCalrz3QPqp2lLlNABjrVhafwu42pSRlrGsWKAOKistWQyPtmkqTW6+r/CTLuycrTtZ1DowAUwIP1y6WCdd+Nx9cPdo212fI38aBZYjbAl5c+BjGCjbfIMTH4T7sBtSdfmkTRTI0KgAa6VtO6xxkY60yRFMZPX3kykpjPgp0OwVSqeE9pZuEIlFPWHr3uP+qwXXXOYyVeIAwpHCbu+6UYMVLqpfLbqRvKgUP6hmpl+Ti6D0h71mTaDuvLcIqZou5AilWjBqz5/Fga13lphpDNw5qcaf0XOVW9V3Kw+Wlj/KSxqniaY5Hoe1rad4Ag7pcSJYpgQd+c7gPB8Vy6E/HvOrPSjfNGceDEO7XOrSeSsekMpMBMQJ226AjD1L6bhZNqxBDkPG7shp6k1PLZ+KBnWs1a/2uLalOVnC45uLvFUiNCpfmdwConhQDk1qxII77c1+4HVnoE92iz55MWtxmIOE6dGx13PXRANzH61qsIHueVGVgVWPByph3malSqeTGyX0y7Li8ufJZtSUZHvyfzmN8s6HhXsTJa0ccrmvyoYabMwpUx2jIkNdBWS56/ZH6rGqnUgKPilL+nk5T+agMIGdkJQNz50GKw0GNUqfp/n8WtKpDuUynpBxo9YCK60hejbrlCTzcbwfWqTwXGh2xurSsBFJuTcy9tZTvc1awjo8zPBJ4ADR0nBiwXfiJy6/qYQDk8GGTTaQ1PKhtcH3ujCXlw/GsQJXGrvooL8p3VbbjZbT+VGcCMc4DclvCeZ1SjTSX5k+7j9c02SNv3xh/jL3TD8yvptlwGsl/YOb8yFjwePB3+mgdoF40h/M74+fYgRQLnZKzhvk/gBU6TrdbOgsnCc4IJeXfUxhuwFN5vTp61+cA1RyQqtbBuHydKLzY7TwDHQ+3VtQDiDnAwHw4fnhbvpMPt3GgN27MA7eTZbYnh6NAkfqD28r1jSrIUdl3dVblu7ndSOc18vCaUQ9QlEfIIoMZl4ex140xbm2wkmnOq7J0IP2xROG7vtO6KxqpswIprmdUfx55kEqKIVkrTE7B6nUmLq9y6d3k1jpZYeuuuxGl7gBF69ZrLt8SkEp8uLZpmvsSYRnuz179PWvTWYRJmaV+0G+9n0GKwQLXWZb4lAJVYiPt1XazYnW7CCtll8aq9+JIDlfy/27dR6kyXFyYjb/dTkiVPafI+R4eF24L0uytNe+Xx5LbqUrVzU0Hei7qgrZV/VbJ74Fpo5ah9+iuVpBba3UAkvTMHIMk8bbTIIWdYAoeLAiNdEI7SqG/RqoAkqJEXqcUtB6dqNh2jV1tSOu2a+XPKfHq21GyeCqB64FcKtP1mfJfAU8vROLa6vjQcYCxozsIXf/yegSHEjn0x5Z1khXHX+oTF2JEG7huJa6/MiIYMKpx4TmmDyxXhiCDYdocw33AAFgZIK6dbiODnkYOpY1dmbrL1K2X6ryG7tHwcgIpt2alwKr93aiaK9rvXKb2kzOsU9+68K7OhxHjSvl13zsNUlWn9ZReVR6HZdLkc2VrWe63Wqw9j0rTc0Cqpxxd20cEMeXpgd0IoPIESRPfKatkSSZgYiXPY6yT0vUT53Pgrf/1xkE3hFT9w+WgDerJaTqNsQOsBMyu7apkk5c4+uE6HN9uHBxxP3HfAIz4cQE2UPBfku2e3kAeDcc6nZLmRNWWg4XhPcd3pSfm6rReO1h+5uiknQApLL7z5NAQgVqfrASRR4XGbXfWbzeASUGocPKGAvakAER4fkh3wbldekw88GpZVtaLA1D+7fLpNU0rX44n3dzQSF9MmDZDjBgcjRjc9Z1UsObd81hJDirFAcudF9p5nJjXpIS1Hu4fVoDMAy9mqwzqtWpjC6fdGPJc0rHi8XHjMOJJaV/qxgmVHw5fcXuVX74XYIX724aH9tEDjd3D44m0zbxRI/VjAqweoBwEz84pfw2hs+5ywFQBlBL3SW/eo/+1D44FSLFy0cEHsbCq4sP/jRJI9daEmCrl7cpjYHIPufJ1ndhJaSKtoDyq1FX4eoDk+NDf7Bm5Nw1DUSDtztTDA5TaHkculAfFo2cBoo/TA8Ru3cS1F3mSHGpfj1jVClLoPzWCVAEARJRH7pfqhZI67sxLGkPdxejkZE64j8eZ+ef+1bVMkANL9pIYmNzhxs5w0SiGM160veCTeVFAYA9rDq2KRwz4t1vrTcZsmlNORtn4c/2gZbOO1rDnToOUAw61KpJg8P9KKlRcHwteBViOT8d39UmhPwYSFVZ81BKd05/ungRWiZzgq4Dq23P5PU/tfwWvHkg5Q4PXJdijYD41XzJIqnb3LENXVgVUaoUqj3xfki/HQ5IxF1Z2cqW/q/9ce6uP9jHPZ1bort+qcWmkXhmH/nQ+u/Cr6/cUpj0VdDDYbs4/4j2lOcXjmXTZKIimunYSpDChtKPxDcHmD6w/zgNi4VOloBPXWRGVVaUWyJyTGEY9KfWYtG80vyNV6EnA0r3cr+wFMBgBgPhEcryMsH3ziwmrk8q1r/njjmJiq9mdto7r+sAxl6fjWVEFTJVFzopZf7MBosaKO5mey2C5Vi+erytPzIt6wM6rSspOPTlnfDlgZLBCWS50rNeTAuYdlxzW07nnQn/JA01eheuHZFDo9SRTByE8r+109aO/VGdo3hFDyMkwl5E83SQjOwlSqROdslSgcu4ovjFxsEuLY99qPSXLLlkb6g31QIonSgo9qWBAWHiXU897rICqum/UY8J3AyAA0yc+8Yl1ul1zaX61hipEnVhOCbe0ngvIYNROWWfAQppBzYXBkoGiaQBKTw6S3HCf8pFOGnriNZA0TipvHO50a6CqeNjgQP+3MtzbjVM4XeXegRSDrt7L19JOXvynilqVYuMXfehAR8PBLvzuQvHV/FSg1bapHOj8O+jIm+ZNfeA+Osd1vJQHvs7et+oEbU8aj50GKSY3KKNpV5ZaM06R6PUeSKWPK7dqmwNkl9f91vtUuNM9Pd7UKMC3KjIO5XEa74ECMDXAgifVvnueVArxNVJgSQoSaZSvmyDwX89A4d/OyHH9y4opWcSj4+Jk1LVdP2mzgONHz0Ds8evGIM0FJo4IsELUtPZxtebBYKf91dJsyDbiI5VwvzNAKkOhGjvXbgdqjUZ0htMBbp4mkOqVNwKQaTyVn2MBUpXFwB4UK0+1+LSjtVyd3MlycgPD/41Y0NwOt401KbO0G27klG/+dkA1AoIVSOEbnhQ8psZb+/74xz++vt7S7FVxSLACKbWI9e2+zntCun2rJ8XWtAIaK1vnBbDyVA+4SqscsCLltmtYTSd8AkwOHaNt2EyCNHuP+ObxrTa86KnyLBPKSzIOFMQh5xwNcOmWB3IGkGEe3O5QEABJ+eDdn+g39jpxwjpfRz/rHHfj5RR1MnJBcwGeZUjnpupA5E96Cvc42VK+NS+Xn9q+syBVWQdJafZ2u7nO5YGrFEyyiPj/EYBSANJdQA6YFZhGruN+Fw501pfrd83P9ShIMQABmNp3+wCwOA+HB3sg5XbxKTC1cgBMSLdvfuli2uFVKdgEQGnbO/PrZIj71RlZKsdKzmsZASlWwmx8sSEEAMA97T/kZyAD72r8JECvwmTa76wE2RvStMo2zycn16hfxxB9h/UsgCP3Ae8CVJ7TPGJSnaB66ED+7+kd7seeDnR9gDqcPlTZcvoy6a65dKRByinKbZCCSlJKyeLolZ0sHgVVHeDKYkHenieVtqa7BecEUg6s9D6uT7eXu/Uml9Y8fLK5s0AZ3Bs5j8eF+JznwCEjWOZuzDntvC4oMqRRHtaYGDycfLj+TErGWcRJpquP6w9nITNvesIGPi785YwzTXOdrCxb+Ugz0AM8HFChHNzL67ZuHuJbw7osFywbrh7muaqnIqf4D4rwcq+ONL+reT0Cro7fkfaN6u0jDVJQgPqsRuUtqdCxQqssTqQxMXhHVAIPULJSnFXHE4yFXy1bJlYWCZjwH19Pr7PoeZ0jE29k4wR7TxruQ94U7nNjqp4Uxow9qVvd6lY23KfPSWGc1cqvjBZOu4eD0zNYveexWEZ0fNRjSYCgss88g0cO93EbWF7bNT6tgQED6bQTM82DBKYgXvdSgGevDmm8jBDAhX6CLPG2c32+y1n/MJLYe3KeFPoMfLo+5LFK5PRJo2RU8H8OXPDt9ATrHORz/DI4V3y5PE6eq+s7BVIJkHrK1FlqOnF58qY053eUBMb9z4CEScR8JgWmll8FTJhs6uFoWrcVo69HrSqd7FwebzUfWZPi7ehzQApKBQoLoRpMOE27h3ldKKryOlxYz4GUylACKVU8PM4s/0m+WLZU/pNXqLKvyoc9GTakUK5TeKqcEyhVSo3/Y2+IQRJjijmEeYTxZ++I5UhDf9qPaDPfx54ye8QMUNp+NWCTUeGAohHKdWln/KY5qoBVtdnpVVA1Zo6fpbQTIJUAiskBEvLpZB19fkkVVQIhnZxsFarllhQUT0xtH5fBXpKmAVIADk5jF50DLG5DbwJoP7AhAY+IQ3moT3f6Ic1emAMpnST45v4CYLkP9ydbxwpSyYplENsGSOmiu6OeQaYGjiojjAXaq9ehfNE2J7tubrlxcDKh5XH/8/8VWHEYkecT2qNeHveDax/uZy/L8awKnoGa+53BUNvjyuZ+qhT+waAnxdd61DOiXZrbNYfm5j/yINWUHI7Xb+SOZmFlwgpfrRVWFAgVcdhI0/o8SaVE2MJMVhsmB/hh3jWN+/XbgZQqewADvBpOI68DLAUHBxLJauT7eQu67vTTtHuYF33oFKV6Ui2NTRFtrPg4HDxADPBwz6O59qT2qpHTC/dpWkNs3B6Uz21V4mvMCytp/q2eBb+mAmEyVq6q0JFmxQrQYwvcjZUDOoxrUsQOuMEj7lXZ5xAfy1u71uYyyxgbbjyXlG+ev9xOTet4sc5xxp7OpyRzN+s8r8c8Mt8YG60jGZ7OAHDjprKg17UtzO8oYB1pkNKn3NV9B6kycQpW16GgMNKZerrYzaSWK19ncrF6R8kqVUHi9jNI8SQEMPFOOyhsXK8mrRM+VdSc5vwKUnrihIb42rc7FilZ8+wdsLLkcWeFwkoZ4OW2D1dj4pToyJqUrnUqYKEcF5ZLxgsDkSouhMNAbBRxGtuqUZ4LMavMpj5Q7yLdz9e0DCf/iR98sA4Fr1g3VaBcjkyo8ahp/s1GMcseeGMw4LpYHlMf8PjpOJ5lQrPaP8jHcs79lnSNGx/N7wCrKtO1TYF350HKxeR18uBb46s6qUZASsOAqjAUPBQsk6elindk0LXNDqQA4Ow9YR0IIKWAxRZnsiyZP42R8yRy4M3rU1WIT4HRhXaZGHh47Hk9wvGGSYb7dKG7moQOqFCGC/1VIKWyxzKmYOUAS5U7ez76m716ABJvMmCjTOvkseQx0bVM/Jd2liZDQ41J9L+CNcuekhoh7Rv9CnlwIMUgo21lY8cZML053VP8PfkC9QwVbjd7Nyr7ykcPbEbAzbUrATF/H4twH4gnIFsQ7PUw6ToCfvP5bZyudj5p/erluQHUia1gw3kdiOl/rDQATPBOGKQACthdhyOKABw9kNI+ZKDHRHBhCW4DP2+DOtt/fMrE6AOi3PdskEDhIM2L6ZCdpPiZUt9rPgWK0fWpdEQRQIJ3k+qmnR6QuV2EzhDT+hWkklHG46kGBXv0PIZJnhWkAKAK7grGLHs6bu7xB960w8/r4Trmj5M9HWvVPRpW40cXWF5H6cAYIM7Y4jnm+gEGiXp0zjB2bdMx1/FTMKrA2tWxsyDlhEeFni1oJhZyDt/pRHUWbzUpUCd/nOWino+b5JVl5q6rctC1J3hMDFIOsBJIqbDxRFGFqQCg/YTyHRipRa71O+uNwZCtYvyn1iiPTQ+gUGY1KZPF2gv9KUhh/az9xsPGGmpOh8M6wIJS4jQUKafBH3tSULAJpJh4fNQTdl6VCx1z/+ncacTREAUqt5YID4o9KRfu07mYALTyClheqjmrVP2X6jrorNVp5ADXeF6keytKPLr5UN03t94jDVIQftdYZ7mo4mLBTu926oVflB+1ZFSx6boMp6vJ7ECL69wGSOn6UNpRx/2pyliVYAJ0BqkE0ArWLtzo+hrluzUX3OOUnZaZ+jlNSqdEKpBynnvrf+fVMHixh+WARL0q53lwmr00TbuydR65vtIQH8umylPlSTHYqCLGh40Nvc7ACcBq8g0Z5TpQBmQXnldL86Yd1SfaJ27uK8jx76VAxeR+87xhGec28jxwhkE11pXR5q6PtG/nQAoKVt3pyuJggWLPSEGqt/PKeQcgVaYMPggj8PoQ767T7eDJm+B1BZ6Ic0GKw30aeqtCluhj9Z6qzQB8nyoydwit2xjjSCc8fkP54D+su2g4KVl0PI7a9z3FMhr6c56UO64I1/nhZD7hPT3fpcozAakCqhodzLcDQDUWkhHl0g6kNDQJwIbc8P8YT8gZ+op5g2y3ulje2xy49a1vfSL9sY997LOe19PQX89YY+J+YEDtKfhKLkHa/6lc1NuI54TWy0a2kxMmBj+UqaRGJiiVecpA6vLLL59+4zd+Y3r3u9893eY2t5ke8pCHTD/yIz8y/ct/+S9P5GnC8N3f/d3TK1/5yrUgPPzhD59+9md/djrvvPNm1aUd4KwJNxFZafAkdBbvyKTk+pQP5/q7mL1uE9f/UwgQ1xuxUufNCNgl1/5zIT7dOMH1M0i49qqVpuEUtVTZGqs8JtdvuE/721mqKic8kdhqdHKjChbp5AU4pcXyp/KWjCK27jn0hnVX/N+o/a9KyHmGSREksHKAleaGgoTKvcp/BfTMO8ZK133RF+lRBOabPUIuT+VT5yNHMnjMWc5SVCF5OdwnKqcjcq1UgQjnZ3DicJ+GeV140NWTeKo8qZFrpxyk/uiP/mh60pOeND3wgQ9cK7zv+77vm/71v/7X07ve9a7pdre73TrP05/+9Ol3fud3pl//9V+fzj333OnJT37y9OhHP3r64z/+41l1VZaYhjlgNSdFkQDLufLa0ezJuN1r/OBqAwOkG0jwdff8kju6SD0pBim3cUK9N4BU2iwBT66yhPDdrkPI2Ypky4qVmRu7SpE5i3uOfLBXxQrCWb06vj0vgNvhSK1clUO3PgVvr6WxHRxhqpaGTPF1lAHl7ULRymcaz+RVpbUv9kw1oqH1qGeqfOn8RT0cMcG93GftWvOeOKzL/CFPuwcGHAMW+l3TCKdifZCNRpZJBxjJkE26w8kt+uygs2mB+9vJHveHGyu+p/J4lA/mzZEaog6QTwtIvfa1rz3p9y/+4i9Od77znae3ve1t07/6V/9q+vCHPzz9wi/8wvSKV7xi+uqv/up1npe97GXTve997+lP/uRPpi//8i+fVV+y8N1kUktQQaqK6aNcrZcHgL0hPsG7gRGAp4UTXJo9HPVqFKScIm/ESl2fk8LvBIYuxJfCAiy8DO4MWviPQYz7M/GtVm0KC6HvGXycYnTWobvO4+rAKHl3SfEnxatyxbLX0inE184cRAgQ61a4zkCniiWBvnoDaklrxKE3l9j4Uz5U+en84fp5/qI8fpUK5gjAsd3HL63kMrgPmReOMrRQHyIKbT62/kSaz5bU0/hZPtN4J8NW00mHOaA6S9baVKa1DORnY8KNORt0WqYz5hJYMukcX2JonpI1qQZKje54xzuuvxtYtYG+6KKLTuS5173uNd3tbnebrrzySgtSiA+Drr/++hPpEWtGlYOm+Zp6T0kA1JJWRcChA3gr+EYa4AEw4jTy8vqUKvJGSdnzehY/J8VpXrfiiafrUM7qVqWG+lnokwfkJqwTeAcIbiLpdSXOnyxPlSfXtwpYml/bxoS6OcTCfaVhKA5RQsngGhQs0qpEVMGxTHDaKZgEqAmM1BvkPCin51Gk+hlcGsGT1DVbXqvSsnSOc/9wX8BrQnmYG/CsFJSQh2Vdx6BqM8tOutfNh963GmTOKEO/aLiPy+Iy+JtpZN5Vc30UsA4VpFonPO1pT5u+4iu+YrrPfe6zvnb11VevrZs73OEOJ+Vt61Htv7TO9dznPtf+V4FSb71JvS0XkmJlwe1iUMKE52N8eOG1WWXwYG688cYTa0TwpNJOOzchuV7lhS1k5ssdi4R0Lw6PenTipMmQxkevJbBwoM/trOpOPHDe6loFjglMKwvZtYsVJIOUeqLshWJNCkDFac4Ppcl9zMDED0rj+hyQwnUXsqzSavBxPZVSRP3sKcG4Qvix/Ya3hHa1vOhvfo6S5zhCfzpvFMA5hApDAkYCrjkZqaiSJ+4HJ9ufpoeRKxBK5aEtCmgsM25M+H5nOKZ5nPTUHDpUkGprU+985zunN77xjRuVc9lll02XXnrpSZ7UhRde+FnCrBZf2lo7avGpAKHDq7UnhAX4ZO8GTFgLQloBi9enEGaA51N5OGr5p0nnwKi33oV249uBQZV2ikknVVLmLtzHfLnyRqiXL1l7bmJVAFXdpzyzVwXPqH04rNfajnAf0k05Q1myXHPdaqDoMVPML+YQeHJrGJxHvSoGFRdSV2+mIq4PZyu2MvHwLdbg+IWV7XcL1wGAWvsaL6gPH/QV6knrU7jO/d7K5uO80txMMpTmrI6DGhsHsmNVvUxnrLO8scekssllq/yq3DIvasDqXEjRB8132kCqbYZ4zWteM73hDW+Y7nrXu564fv75568F7brrrjvJm7rmmmvW/zlqgtc+StUguWvVICrpQKpVwMLJE58Bi8N6+M2bKNx1DveNgBR4049bi2CQcvlGlPIcb8VZefhdCajjYYkFVpU9kmdbdVbls1cFBckTuxGuqzfFY+ksaAUplk+VA9yvyhz1M7ggDWXOIMVrIEhzRMN5AY7Y0+RrAKtGmCsAd6xVYU6ir1IoUNsz4iWyIazGXDLykrw7HdPLt+qkk4eqbXZpDvv1aHT+Vm07bSDVKn7KU54yvepVr5r+8A//cLrHPe5x0v/3v//911bJFVdcMT3mMY9ZX3vPe94zfeADH5ge/OAHz6qLhR8C5Cw7t2CtE8ApaFbi7HkwePDOOD7Bm1+Jzouw7Em16wAmDvfp7j7nVSR+K+AC7y6tgOAoeUqVEdDzpBKpoub1gLneVDVhK+pN9Oo+9VK0TAfEACK2qFmBQnHzRgucSqFjD1nhU77dgb3aJp43DKKVB6TzSo8S47TOQy4zgQi3FxuL+MHc5kk1amm81LLlaZsiGrX/23WAHOsDBTAGItSB8CFCibgPAIxxQb8j7cba/efmLPfDyrxxmtOa113T8WJgArkwv47LHGPS6Z803qcUpFqIr+3c+83f/M3p7LPPPrHO1Laat+em2vfjH//4dfiubaY455xz1qDWAGruzj4Ib7J4HEiNABSDAVue+opzXAMwIcSHkF0CKd7dx1vQYfVWZ+cl4VZKirH6pLKYHLhov7q+1n53Cqnil0FK7902SCVv0LU1eeFuLY2vu3YireCkyhDhLPZOuH84pIuzECFXfC4ie3D45tMswAvzk+SG+0bPAgQw6FsEnEw4hcr8tXmCNSgYdwh7tv+w27EBVNM3jdr/eGAXoUO0U+vlUCYfqYT+xjfvgGXjgiMeLK8MXjz+vXl4EJ5FZG+O87KBk/rVGZIKoMxrAlWVYyfvLo26TxtIveQlL1l/f+VXfuVJ19s282/7tm9bp3/qp35q3eHNk+KHeefSiDXfs9hB2pkaHuNdcPzAK4fvsO3cpVO4z+364912LPDOOu9ZOS49CkjbJp4Aet3x1gNfvtYT+tG28oTlsvHfKDCypcrjNmpFjiizSsFxBIBlib1yKD9u02hfqkxqv0CZ6/oV94Na8zrm6snhG/xhzU7fD9a+YbDiGkANpGvQCXi5Xc4Y43ZqiNLJS4/SvG2EPmejxHnRIzpB5TyRAiCnKx2jvOjcr/g8JeG+HjWr5sUvfvH6swnxgioEcTSsp3wm74lfBqgv5sP//DwFjlWB94Q0hwH5+Sk+FSLtumOl4Pq41+cJFLYFNElhYtK6BVZVpCmcOUeYE7/a5qSE9bp6VM5T1NAKt60RKxIGLJ3orABc3YmSN4L+ZIOKPSnIFcJw6rHwUURcvnoNGo7leYj2AjCQVsBxiovHntuI0+vZk2p8Nr6aXkFYr6Xbp+WBJ4UNFwj/6WYOlkFey1NvBX2kYbeqHQxqDhwqL+tADBsNv3LoUb1Ulk8HvpzWUGUygJjceKX71Dhx4fudO7sPIJXWntRaArnOY4F0719q1wBGbbI34FFgwtlfHO5TYMKJE7xGAGXCioUV+BKF7RSs+49/uwmh/ab/J6uJAUoVM19XkFKlwHVXbaxotCy1FF0fup1uCixQGI1UkXNevt6jkUgBKzGWJd7Ag4e20cds4DViRedAKoUzUQfzxMDE2+h5ez0rUi3XyYGux2F7OkAKJ08wSDVAauk291re9ruFAlEWH16L+tzGEicL+I83tDj9wmWrt+UMFnffyqxVqtxymBb8OcOH2wLi/Gpscv4RYKrawG3eeZDqTVqlZKmootTQHof4qt16fMoEL1hzmndY6WGqFTDNASkVXLS3Aid336gQKXi5D8fVU9+nyc38pDZsStqGVJ/W7eTNgZtOTlVUqWytZwSstLwRJcL1soehIMWehyobLYu9Kw5PubFmPpFWpa9GAD8Xhg0kjRDiwxoWeMXaFdrB6046js6I6s0/7f9kHFb/J+MQlPqql64ozXtnfGkeR47fESN4J0GKrapGLnwAUmtVhY8fcuXz7ZpnhB13SLf/2wYI9qTUe+KHefmV6HxEEXtMFUiB36WgwYLlwlNqyWlZ+jv1K4eQ8B8UlLP6ue0K3E6JOkXsQMJZetqW1NYK1EfKYF4ZjNAPuobAebWdvCsOO+aaosXGAaS5DvQrb2VnYwDhOg4RoU7Uhfqa98HeTsuPdR721FQ2UC+vH+HeRroVne9nmeD1WJZj8IOHehH6w/FJeHYKIb52rXlOH/3oR08cJXXb2972s/qQn59KRpebpzruLJvsbTlZckDd7sM4Narkl/uXDQDUzR6yM2LSNeaNDRQdhzkg6XTJzoOUxpSTN5UsNt6gwJsY8GAtHr5FmARpgBQAi0N/DFLsVTklrOtNc5VqRUnJgiqPs1ef8qUK0CkpZ5UB4HgXowuz6P1pnJVH/VRg3Ou3EQBT0smtXqTyymXyzj1Y/PgGYCHUpQoDzy8pz8lj1TpRB597p6EgyLWueegHIAa+wI97GJXBVXe2stJGfmycwLNR4BuA1T5tDgJwsSbV0gApPIOJ3Yf8NmJum2sfe3rMF4+7/l8pdDZi1HBZURgyeT4IrbrQH+Qvedvpml6vvKiqbdqOkfmzEyClQl5Zvtp5ClIc3uMz9PiDNaTew7kc1nNWYRXO2yYlZVq58an/qjrSRNMwihoOPNk1tOP6xAFU5UmltvRCDk5JaH43AbWNrn+0PTpG7Cnohx+54CiCAoXbbZbGVvtE+1U3IPGGgV65ae5pP7v/qvLAJxtFbd6BOI1oRsuP7fCN0J9sULEXwpuweKxSW5ScceY8kuSdsGfck0+ed7ypgtdAE789Q5a/tT16P/OcgHQJHWmQYvc8KUFOK0jo6eD4jTP12m8819Q+LVygnhTCgBri47Jd6MJN5ErhjSjiJAiVcleFzRYih/JSfQxGuAcKRD1cdy/u4TCUW4tIitNtjlErl/vcgaFrn/52gJu8RE6PjrG2B5Z9+8ZuNISqmieAUFVLa108JgxkaX6onCgg6g44WPN8qgQrcZ1r8JJcmIzHWGWK14hh8HHbuK/4CKk2J7GLr81N9NsNN9zwWeE+PE/VylCvio9ScxtItD/xzWDkDAWeLwr60BOcdvLKgMp9yN5TSvN4qpEEcu1UzxD1alkcOXCbgipg3DmQqnbvcZonhu7i03c7KUgxMDUhd2tSvOuPt6y7B3GdUhyxMrSdap3oRK/KYWXkymMh6/Gq7WEedFeQ3scTzu2M4rwOmCqQqixfV35l7bl7FbBcO9XadaT50R4oXF6TwjfSvJ7CSgxHAmm/pbYxOc8N/DTSc++cInL97sLZFR+N0vqUylX7oM0I/aH/AF4I/QGY2rxFus1fpLEO18AKRgLW6VTBJ/2j48mGFssPpxl0nCF7kwktap5KDrW/AJQ6b10bXFnOYHPlsKeYAHGnQSpZ6EkJYrDdWWZVmM+F9/h1GsljchshmEdNa9vStSToPYHjPqsUV+IjCZkqeafwk2JSxZUsfOZ9TjtG+yoBlbvOFiRbxamOymhwfaqGhIIyexCsCNnLSJ9eP+mYaPvdeKVy1FCo+sL1sZbrQKpRaz+v73LojkFVAVbB1hlvbKhxiFCVslPkaWxdPybZucl4nRXIV4YZl4l28Dj19IbOmRGQcm3Xe3YapNhVbuSsD7XEOAzHp0LwazOa94TwX/Oe4EnBq+Kdfnwskr5aI1mPIwLRSzNVSrCyghLIp3Cfs+aUB7Yae+QsxZEyWJGoUmFeHai7yZT6L7WJJ3vPm1K+3W9d+2BlqWtQsOr5oyCF61CsDGaV58MhNg61cT9o6FSv9T5zSfnCXGa+uW0I/aHv2txE+K7NWXhJbS63/1uoD89MaRovmmSvijeTwLtqH96w4JS36+9GDK7wAjFurLNuMtEGnY/JQNA01uXUq0qy69rjoizIk8ZdQY6XanYWpJzi0AkHwOCDNflhWoAUduPhoV38hzAgwnoAKYT4+PUc1Vl7Sjpg3Ca9Xllj+L0JUCmlcJ9up3XWrk6Iqu2VAqv6p6cEcJ3BxaWZZ9cex4+2U3kcGTetO5XjQm8OuLQ8BSW+xh9VHjwmkF/eBOPGrFJGFTjxtRE5YUB0xh+3D+uhUPQALoQEkW7XsdsWAIFdgqgHHgfvnINh0Cid7tCTUR1/bgfaB/5vIqMirfOw4eRkiT+cRw0+R9VcAk/ggQ2mJBe9cd85kGLSyaYhPvc6Dd6Zx7v3AFgc6tOz9dxZaEnxuomqCnMb5BSe1jEygTSvlqMKdq6yVoBNC6y9SZ4U4MgkSW0dMSxGDATtG+4z58kpr+mjMqeeVNXennXP5fN2Z5TlZD/1tbYx5RkxaFwZ2lZuG/qlkW5MQD8o6CMN0NLNIwAq8MzlqwHHfa3zzckF9y/K4v4/kE0V1RqfkyfuD40yOHmp9IIbMweAPf40ArKzIKWDrt4Tg1FLw2PCZgl+GSFvlkC4b1shPkdukm4LtHoKIIFWUiYjit4JbapLx4ytMQVaLksBzbVPJ2cyHHrtGAGfudZhapMqEEx4F36D8oJnoNYrgwgrb170dw95smKEx8E76Rpx9IGfLZxzYkoaj5G8bHC69SnmFaCD9nDoD2E76AM8pIyNFvx+KsxzeFV4Tg39yH2o3pSue6mM8Lxi4G/eGvTXWZ/xqDA26APc50KBIwajm6Np3up/KnN6nXlRcm9N3lmQSuQsQt4g4U4tZ+9JvSj+nTwqrm9EETKvh+FRcdmVJe2EVPOnsioAdBZkKpcFvvJMmNyak/JWKUPHczIW5o5n73/njbKSUe/IKWr13rlfkgzyuLAyr6IPuA/8VdGECnR6/VT1W9UPrnzwyhtbwKeG09A+3mrPB1fzGYbtHj6KSU+FUANL+1rXHp1csCww3wdmHQf9njxjDeux8QOeuK+4H9M8TF6Utj3pBs537Nak0iRTkHIhPgYsF+7rhfrmWOmj1AOtntKt7tN7tQ+TJdSrR0HJfTgf16NKWut01mfiSfnn3+47tUUn3TaJlZL2g1rLWDtBGh4OyuD+bB+VWVXmqjzd+HP9uKeRzgWeZ5U1rwCrSrRR8sBwP5fD5fH/XJ4zfHTDjduU0tqDbf547goeFR9Gyxsn2APWeaN9nQwEBlDmcUXjDKDl94E5OdKy3bzWNcc0x7Q/XR3czhHdxUbCzoMUvnUSMDDxqzX4ZYQtxIc0QnwI/SGtIT7ddn4YQLXEu6osVlWIlaAlkOoBg7MckebFZedV8cTU/tRwTg84e/zOGZ+Rvt9kvF0/u63UjfgwVP7d5FKVCx/JxSftc5swPvqwb7ufNxuot8Abhfi5QAZDzq+AwnMTbYR88tjrei/u128FRjd+KocI53EYDX0NIGrEoNTK5p2UvHaEtSrUxbzwxhWuX88IRH0oD2D56c+sj0HnwLtCWRzJ4X524M4GEHjj3YRufvYMNDU8U8RE5R6ytPMgldxmFmCN5bMlyM9G6XNSmm9ks8Sppjn1MuCpdZny99IjnpR7pkeVqrM+1dKrwGiE17nj43hUmmNEVOQsXFYmWMxv1/ghcfCpvFbrRG6MtL0pbAjl7DyoXrgvWe+NqtCmK8f1nwtxcpt0PQiyCDAGEGB9GTqgEfocaQYIyDPGLIGlzgEGBeaR+wX/f5oMBd5Mwf3mvDD0jfO0qv5mmZxDTp4c4B3bcJ9OVAWmKsSn4T79OHBKk2lb7dL2VfnmABXy6pqOC83whHHWmSvbgZ96UTpmOjG5DlbYzjpM/X8qjIalAJV4YyUO+QXoaIgPaye8RoIy+FlATnNfqbJ2YKeKlwEwgVTVZtc2lZvKk+p9tG9ZrtUjR328OQIvVGxpnFDR0jidoqVxAG27Fx5XS/M5gHocEa5x3S70p/3Bz7Wd9Zn8AKlGCpLwjCoZ64X7eG2K53JP1hWM1DBw+uVYhPt4Zw0rNUwC3iDB4T6cWo635yKsx3kwuQFcHD50LvamlCzabRILY7J4etYW51F+XT+oV8XP9XCdEFi2FHULNCZvZST0xiL174gxsKQ8B5zJ4sY1yFYjXeiHXHLYSMeAw2nIr+XymOiiPpeD/gYPHO7Dmi3kSj0AHaP2P3hx3rWCoZ6Mr+OeQu1JDhV0dX2Kdz7yA7v6fBTaAc8WwMWbM/Q4KTYwuM1cPvMPUPz0Z4DIeXPom2pruYKMGoS8rZ3LcOCU0go22kY1TlF267edBymH0Jyuwn4jH71XLcZNAMoptxGBcFbOCLEgapq/OX8FUGz9Kj/attRWBisGIedJsuJTPpnfkX5wvHGfaL45Y5XyuT5392l7oDRYmUBBpjbreqmu2yQjRXl1YFB5NtoOpzAVZFyfjxpIWp8zCKq8rBOg8OGJAOiRBmBrGuCGawAXZ0ypXDgF3ghrXOyR3IzOYkQd7rEF9r5cu5Mxqn02qlsgJ8nIVsDivMfCk3KLfSx8vMbkQnw4tRzX9Ty+U7WTT8kpDv6vAgbHlyqdRk6I9f5KQbDCw2+eNGzhKcCw4Gq9rs6qr1Xw547LCMgqgGn9c665sUh1cB+occQKSdvOa1G6u49BSvtO62Zly4pcDTa3HuXawoCbLGxug6uTASbJRgVkvbbBe+MdfS2ywl4Pwn7q4WCzQwr5AWB4a7wqeGeY3URgruFGHWe0jzeCODl0/cLhPycXapgp2DjwqcD4WIAUPw3OHQ3BY4DS3X3tPw794SgkxKABUvzGXp2YjbYBVpX3kPKPgBOI/0sLvHPT6Rrzz9YelComUPIEk3WuCrACjh7NUWzJ00r5qrTzLip+WGGjLF6HaOSA3in0tLOvqhe/kyJnz4PvS94R85FA2bVBN4Do+teIB8DGgYa7AATYKamnv0NusQbV2g+AwKn08H7wino+h08BC+uJuv4Do0N5Xck7wngdCv2PflFjXcdHgUJ1QzLU+JrqKgW1ZFxXYLazIOU6A8QDzMCl3+opJa/JKc9tAJS2p5d2lr+WkZSes+Y1Ty9dkbtH+4utWG1byu+o51FW/KU+4nwOnFJ6lNSgGOWb72mkyl7zsAXNayGar+dx8O/ePHDGSlW2u8eBlKt/rqxw/hFgZAAAkHHoj9ejoIOwNsfPtMHQxX0uDOhIPd2zxLjjdUQGsEZ8vZJR1w9sPMydHypTVdu4jTsPUvyMB09K9aT4XD4O8fERSS7cp6DVE65tkA7eUm/BkU7wZFFV10brcAuwbLnqjjL1MBjQ+DoTT+SqLQmclgKVK4t56oGZji+3zYVUKoXilHQCqdRfvMXZWbzOiEvAwfW48QWvblzZkk+hPTcPR+XUzSWtH94PvCp4ru0aPE/sAtRX1sOTgqfVTk9vebC9HWWgPj05nR8U1v48iw4aBq+aVu8rtTP1h5Mr/k/vUyDV62kH46gHtTMgxQ+KNkoAhRAev6SQ36TLIKU7okYWijelyr3eJo0q6U3KZiUIyxFpt+OH86bJ4coGJUWI70qZLQEqd1+yWh0oKK/Jo6qsTufNqKHG+bivdWGdQ0KOF14fYoPNKUPm121tT7wmo0TbWUU4KqoMP/WeoA8YmAA27Rtn9+ENwO03tqlj63q73l6gCEDDIwR4hUoj6C5eW0zPc/ED3BgjPo2dQ3v4rXpxBNSdXDmdwWXr+YX4n8ef5VDv32mQ6k1enVAu5OdCfG5B+LDAaSmdDj56QqXCnEAH/3H8PXkmCVQrUE+A4cqZQw5I9JprdwIqxzunK2BLvGl/Jau49+nlr/pFDY+kkFQRpnqSohydj6k/HT8K+gxejfixCIT1GvGuPgASDulFXvdwMK/r6bpS4vfAGHkO7Lgflxi8qc+VdC0sGYhL592RBikgOIjXmdSLwqnmSHPoD4umEC5nOTbaJkj1LPPevczPYQBWT2k648B9a5o3AeiCvivXXdP8yStB3TpZKkCp6tVrTlmrJ6Ig3OtLp+BdO7Vt6E9WrsyjfvNzfriXtzkzX7pxQo04JnfCSNqFi2+3KcLJdqUoE6U+1DYyL+2aPluGY5TgGcGTgneDV9A3TwpeFZ69xPl/uBdrVfreKgYp1m0rEw5mIOLnsrg/1YvReaDfqa/dmCgfHN4HT9zXvGbGvO88SDl3kteU+FTzBFJ6xhkEMnlT26Sk1Fya78F3AoJNaFRhpvaAD6fAOMSU6p1TP4Td3ac8sQJyIKK8LgEo/lZQctasa6vzQFLfo03ct06JKG8uLz80rHW6XWQ6J5xFrw8KJ5BFeRpar+TF9bkbryQrybPjOtmTwtt+8d0+CPs1sGng1K61bwBWC/fxa0B4V2D78MOs/EAvl53aqX3NIKXy7sJ9Ok+T0eGMCCUe40oenNG28yDlrDLu8PRxD+qqpZCsuW1TUmSaru6vfm/qOc0BqVSeA17Xjh5Ic57Ew0ifaf5UXtVOp/zdfyP1p2upz9NYVfcwufnC84bDsClfry2OnznGVw+A9L4eLw78HQ8sYw7U1Vvge3jbOrwjrE/h+cyWF8ZzI13/huemazyNtO/T2CswK6/4T6+P6pkEZCiTZUg38KQydhakQLpZAgIBTwmbJdh74h19sJQ4pHGqQEqpZ33juhvwpYrRKRK9ntLKF8gtgCvvvUmhyr4Hjj2lPHpfAgRXlit7rrwkj8qFyTjNSkatUweUqng1P4dttB6Mp9tIpG1wW6UTaDj+qrnngK3Xt9yfWr/ywUoV+fjhY+z64wdz4fng+ae2q6/9176b3mnXEMnBJgocpwRggoeFXYLNC8MmibMo7JciO2gH+IJsuA0TKgcMuslTrupXTxllcVrDfdiEcixACh2HweZTJhiw4G7riw75rbq8DnWmgJMCVbJGRidsSo8Ck7PetB2N1EJziqcHWA6oXJ2JqvKdxzXihbAlPeIxVf9XZXF/JwWrIOFAitvPSoHrRf4U7uNy+GSD1CbmhxWUtk3loAdQyDvS75saWck4ckYEP5wL76mlG0jpOlQDJrQNp0c0Asg1QpivhQ4P5IHiHnjrOlalO5yuQ9t0E4e7jwE9jTEDOsYN6V44dydASjss7eBL5/C5gaomSKKewM+9t1eWE7bReuZ6TBWP7rrzSjQUUFn8PeWgpBMR11yZCSAdz1W7WVGOWPYJhEaNkUQOaJVvTTtZSn2l/PQAP/1OPKUx3TZV/QHqGUucX8Edv6F0scmCn49C1AbpFPrj3YDqha4KA1rliUHLyTlfQ5kMNAx21Thpv4FH9soaafrYgBSe+ObwHnbU4ITzdr19Y7OEe2gXVuZop1XCztcqgd904s4FUQc8S+pPinVUkJ0hAMHmPK4N/M31q2LlMtLuzFSHehEOANVaTYre9QGI4/aN+HkXLt/1e8U3/0banUDgDJ1Kph24b0JqqIzKvYLD0rqTwZMMmsQDPnwyPW+ywLuqEOLDQ8AI90H2keYwIMKGt6BNFCA2tJWv9LCsazOXwyevK5ggypQMF/XSuY/Zm+Zdi8ci3MeWi4b2+MMnTkBY+DikykJZAlDuP/UcRstQmutFVcqr8q5S3cny53t7ZbhPCmf02ue8lFTHnP5KioxB0FmDjh/9H6Tbdpl3Lsvd7/q+Z3QoYGmZCax6ADyX5oBRMurm1jcHCOfIjTtJhY9TwkPA0C98qgReUY81LZwNiNAfgGNF5waivqSzeIwdmGo/MkhxOxiYePOFGoWub5AXz4Jh/YnbhLp2HqTQSD2xXH+P7OZrNKLAeuk5yr0qo1JOSxSF1uU8q4r/kbpZQbu2JWCb48FW9TKvvbYoLTU2+P8eQI3wNWrNO89s9F7lP/GiCsn9X92v7eJ+6o1DBcZVPyR+RuS74r3Xh/wN44PXuTlqAw+rkQv9Ic27BBVsemPtAErXNXWcuY26JV69fF6vcn3DupX1LuZ72s6+cyDVQnqtE2688cZ1SO+jH/3oiXT7bv9zuE9PNdddfHOBaQSoEkCN1sPXllqx6nqPABP45W/Hr04cnhBVf3Gf8y6kZMH2LGqntLmeapxVeTqgTXX3xq0HBOCV+5F/K/BxP6pCZaXQ678RvpbKG/PDygzfGr1gvuYYf4nvJf9zHtd3SRErn6qMefwYcBDi0zTCfe0atq//I71YkT2xni5xYTadm9xWPq8UHiFvLEM79GR1DakzSOMeeFUMdMfCk8L2cTygy9vONdwHD8uB04gAO89jZBKNWJujE3MToML9SwCqN0EVBPF/5a05qzqB1IgBUfHeK0eVzQhQMSCrRTrqWbnraq3qwnc1Fr2+G/U2NyWtn8OabLUvGVuuA/m20R4tozLQ3L0auk2GBb9eqOklhPnaN69BAbRu8ZnQH8tC2kqffgOY9KxA5h8886YHlMUv2VSw0R2AWhY/1oN8AMFj4UnxgbAMSFh3Gnlx4TYAasmEqqz0UYu8p3Tmem06MZMljt9aPoSup9hH2rYNcgDSIwdQyvccBbaEuHy2ylU+0nj1gB+0DQXvPGRO84c9ivQsjuNLZWbEENC+SXPP9ZVry5w+YHI73fjVH9BdrS4Y2TC8cd/NP3MoLT//xB6RAySno/h/3VyBtrIXhOvw3tQTZE+pMhjd59iE+z7ykY+sO+r6669fh/ba7xtuuGE9wC301665HX3sSTlyg+vSLv8cchOxApY5CmXUY6r4Skov1cMfPp3eTaa5NKf9qsAc6KT2snXogGHbpLy4UF8yipKCdeOlylc9mzmUjDVuA+dzv9OGJW0336d9xiGmnpep3lwyOnrGqxuHCqCUT958wM8OAQiansKLE5seu8UtbnHiGh4QhifGnhGfdsGvnsf/nNa3R6jxoOE+gBafCK9rU1yGGiS4hz0z/t5pkOL3QnHID6AEbwrAlCy45N2ogpjrQWm+yjpfWt6c/CPUs8CTgue+0afL+f+0PXa0Hclq29QrqBSds8K37UVVHp8q1hFwGuFxU6BSJe34UCXGlnSSsWQkOr61jxwYV3n4v0rek25IfQPSbdztG9vSse7Ebw3HTjg8yPuPnzmBAqDWCDsC8c0gxLy5NrAnxQYkeEUfMahjPQxeHdIIAyZjTuXB9cXOgxTeC4WNEQxUGvJTgNpUsY+CVbJkNV0pYK13rkJxXkQ1wRKA9hQaCzj/dh4NC7X2Rw8cOV2NA08g5osVZtVnVf+5vJUnM0rax1XdmwDUUho11Hp9omCV6qrqcbKV+NB04rWXPxmsFbGCZgXfriPcB8+JQarRP34GpPjoJN62Ds8IngpCg2xga7hR54+uT6EerIHxO6zwkDH4YJ3KIKT9xeVz/p0HqRbma5324Q9/eA1ULdTXwnxt0LHLj8N9rWMQ6mvUmxzJi5ojoFpPlR4FqtE6tbyUHlEOTvG6ftSJwJNArT7nVY0o3tT/SalxP2gIpmrPNhTyEnL96izUlLeS6yWylTybVJ56T44vt/tS69QNAs47QLoyonRceoZR1Q+99idZYgMJ288xHxgIeHcfv+bjlre85YkXKeJVITh5HRsvAFy4DmDiMwaZJ/QxPDReb8JcgafFzzkhzdfZQ0IYTw1wDv3x906DFD+o29s4oVbbCEDptSo9opSqCcZpN2HxPUf5LQEorkfzJwXgPBOn8NNaReK9GqvUBh2TyiN0ZevEGum3TTwYlbeetb9pnXONoEr25yhrdz3lcWW7eel46slnypP4SfUpX1qXEnsarPD1+SmEARFiu8Vndv/xNZxc0e5B/kZqDGLtaWTbv/YvnxcI0Gl1AkyxRqXplp93pKZ+PjYbJ9rGiDawzWPikB8DVbUWNWeCz/WkepMxeQgjAIJ7eoqNyx/1oEYUGLdJ+9WFFKr+HlX67j7ut9QWZyUzrwDPpNy4bq1ztI2Ot8R3j+aCYKp76X0977KSa76e8o3UyUYT561AqAIP9534cPwk4naqF8hbs/lRGih9gNCnPuN1AawQ/sNp6/CkkG5elJ5ywc9I8RZ4XptizxUABy+MT8DgNTJ9nEejEymUq+O/8+G+NohtVx8/wAvgQqyXd/TN9abchKwENIFTD6h0kvXqcnz1PI4KrNyzF7qVle9ViwgCzCEB11YOBfHxLVp2lWbrz1n3Wh7fj/5VK64HrvxbFc4ojRg6rr1L6plzfdvkLORkeIwAUwIkftaGjRJH1XiN9K2TrdSfPTDks/Gw/Rzzj9egAEyf+EzYD+E+ftEiQIR3/yFP+8Yp7Bz6U28Jc1HnO5+zx8/v8U49DgkizYDG+pbn5LHxpOAxuZ18ehTStiZ9L7wwAlDKRwKoHj/JUnVUlavKgD+6fZzbpO1QpdGjnoWbFDa3PVnhvWuq1Eb6UOsepRHFW5U76pn1ruF68hbm1OO8m8TzSHqOMZb45r7tGWyO5xFKgOnqcmk2kqDY2avi0B/uvZl5tTyAjuccAw48Jj64FmE76EbU7+YXG5DqYTXCuhh7Z8wb9EEPsHcepJq3xK+E5119CaTmuppJwfD/rGy57NHQVwKQEatN7x9tm5btBJEtreSdwFriRVH2mpRH3Z5eAaA+czFH4LXf2NJLHp5e24QqYEpeFPgYNaaSbFTl4//ROlS2nIHk7hkBJi6zKi9d57k3x8gYoZEx67U9GVd8nR+IBTDhmu7su9ln3lUFTwq7ARsQ4R1W0IF4TQiHDnWnHh+xxOFApxtwj26g0N19yYBN184IkHr+858/XXbZZdNTn/rU6QUveMEJcPnu7/7u6ZWvfOW6ox/+8IdPP/uzPzudd955s8puu/naQLQwn57Rh1PPGag2tZ6cUnDegA7KqELg+jSdJik/o+DKH/HKWBDVKnJHqbBix6sHAACwBJ2VNuKl6T1pvUjTuKey9sGTK0t53oS4Xu43197EC5RAz/sZ9dK4fK6Df/e8AgWrEaNhLuBuMifTXJk7ngmgKrDS3Yqa5nLVEEOYvBFAAAB1s5vd7MTpE7yjj9N8pBKH+253u9udCBUi4oSdg9hF2IjDgNicoetY3JdsGGi4j69z3/BzUWeUJ/WWt7xl+i//5b9MX/zFX3zS9ac//enT7/zO70y//uu/Pp177rnTk5/85OnRj3709Md//MezyncnnleeU5owlRfjFJ2mRy38uR6c8wZQTrIie5ZoNfEUPPShP7aonIeDfCysVZ+6Ph5RVgmkuG+qfnB5tA97YzXCp1Oibu0vyWIlXw6MeyC1BHTcvZVRNMeTGgWmKp+Tfe233pxI/40aAKNz3XmlDFZscKpCv9lnQn46x9gAggfGDwoDlPjkdUSbGnEYEDzAU9L5wHWr8eVOv2DdAX4rL/OUg1Tzci6++OLp53/+56fnPe95J663Z5p+4Rd+YXrFK14xffVXf/X62ste9rLp3ve+9/Qnf/In05d/+ZcP18Fbzt17okZ39DkLnNOqvBMttcArJZ0mClv+LFQuxObKHgEm9arYk0JdHD7TtPYL18MWGvPI48b3O6FOVqt6Va5P+X/mm//rgUO63gufapudN5d2TWqdOoZatvaX689em/n+BACV4aDpkbLTWDpCe7UOBYQRcvPNnZwy2iZXtqZB/Axfu1c9lLM+42Fhjjb91643IELoD8seeNEib5zgFy1iY0a7HyHBRtiAgW+0HzyroarhPt7qru1Bn4xumDh0kHrSk540PeIRj5guuuiik0DqbW9727rj2nXQve51r+lud7vbdOWVV84CKX5YV9ej0ms4RoHEKQAHUtzpoxNB845YbayEuB0Q4rSu4sqrgIktIcS+NQ9PIq4HW1MVBDSP1sOkIMUTQC0x/VbAToDfSAGXFR3nqxRcGkO2MjVsUq3x8WJ2muBavwPDCqQc6Kkyr7yANH96IFWRehUOXEY8uKrtPYDQ6wmYHA/JWOrx58Zfjc9G8HTS/MFOP2xBR+gPa/UALLz6A9ve9fUg/AxWI5xs0ciF/hpxW1lWdW1awey0g1Rba3r729++DvcpXX311euOvMMd7nDS9bYe1f5zhM7mreeNqo0RSwDKKZ0EGr0ynXU6Z/JUIOYmr3pNrh5tjytbJ1Dqh6pNqY1aVpqwPeWgpEqCrzugSh6SgpWrd+4YOsNAlSD411DpaPuTIaJ9xOUknkeBShWspkdo1MPp8cTt6Hm/vf5MsqdlaL09quQojRUbLY3S/AO4wDhCuI+BiU9b19AfDpHFOlhL8zZzt0uvCv0hv9scNeKxHzpI/c3f/M16k8TrXve69QLeNujyyy+fnvvc537W9bTlvAdWFaHzWalo2hErGrb8e3VpehRo+JrzNtJk5XY4IdLyecKAuI/dLkq3+QD18Ud3EiEfP9Pm1riS1e4s8p4iTP3t6nL/O3CoQqYcQtE62HtyuyUrT6oaQ/zPcpGUbk+BpH6dC1CuPPxWAGAZ0HtH6nZjxd/pv56RwOPHfeL6h8tKO1td+1ZmzHUeA2jab05jzR6gxeG+lsb5gDhlvV1vOpvfZYXNGKwzeFwAolj74u300AMc2WLQPW0g1cJ511577fSlX/qlJ641Bt/whjdMP/MzPzP9/u///hrRr7vuupO8qWuuuWY6//zzbZltd+Cll156kid14YUXftYBskteZqiUlE0K94G0TtzDE6mynnq8JMtO63S7jLi8CqBSu0AaggKQVNv9G7Fgu52DXD8/6MgWWuJRgcmNf/KoVDmPWuRuHFLozYVPcd2t8aHtGvrhsVArumdopHawha6AWYGVKuWlAOXKY0OLgQlzicetqjeN99K08lt534kfBzCVXON7ZYwyLY9Df9iO3nQjH7XExykpSDUgAuDx6RW820+NSpZffENu+cQL8ILxHH1Fx6GB1MMe9rDpz//8z0+69rjHPW697vTMZz5zDS6t4VdcccX0mMc8Zv3/e97znukDH/jA9OAHP9iW2TqtfZRUEfF1l65IhSVZWU74U9opwOqeRKxkK8EeUU5pImp9+E5ei3pN6TOiLDclrieBk8pB5SGpJd+jpNCSTPE4jAJOb7yX9KXWP+pNMfUU8yiQuTF0v6tx1HTqM06PgBS3hcuogH1kHjqeXFtASdexp1k9HOxCfOqFYR2Kw4ccyUjGm9txiDQDeU+mTwlInX322dN97nOfk661/fp3utOdTlx//OMfv/aM7njHO07nnHPO9JSnPGUNUHM2TTRyipIpKagesbWj3pSzqnixXsN9PFFHKYGE8ucUKgQkPe/DAuTqZOuVrXuuj/scL5OEpaZjwhNaAcT1S89CrvrM9dvIppakzJbIjZY3Ajycn61V9KOuTXDf9QwORxVAL2l3RXPBk8GoZ2yyMeTkvQKqBFAVSCVeKsNkSWjWtdO1GcSbLABS0EP6skJ48uxJNc8LnhSn2zfCgDiiqRHrRfxu1O5BOJH1QbuOHYbgje8/I0+c+Kmf+qk1g82T4od55xIrUWdljFISRhYiF+5jUOL8nO4BVMWvWpDKj+M3WcPKRwVSfL/uAmPF2dJ8LiKDlPZJtetuW0qRd/fxxB0p3/VjUtg6Jq6cUQDh66rEHBAlL7VXV1L6Pb62CVg9Sl6SGwc1Stz1EaDitDMcqvmV5puTDV3b1t2DqT8OpJ5kwGqoGEYNzwmAVPuPt6C3eYsdgdgtjR2BeDAY77jSddW0PsXvvwJI8VFOc4yqUwJSf/iHf3jS79bwF7/4xevPJqReBH/PpaRUnEWVJniaDBX/TgBdvsRz1R6tJ/3n6qsUpHsegpWnghSX6fK4ul2eES8rKaiescB9k5SltielHR8u3eMjKU6uLwFSGuOR/qyMnaU0CnojY+TaU4FTAo8R+aiuV+NaGYQunxuvOX2/klC8GpnwYhohDAiAwuYKXsPia/B+GAA5jKftUCDmb929uvNn9yk5ywg0ak33PlwP35N4SFRZhkxpx57jS8GhUvYKjqNtUGDS93W5nTvMp/6vdfAmDLchY4TUynYg4ygZI1q2kyv2QHnM+Ggj15dcr/MOcB+/HmG0DzTdA3m12nt9sW2qjMOKVMYrA6j6X71vB6yjxlZq31I6EGNR28Rt4Hva/+zlYM0JnhTWn7BZAq+zb+l2DaAF7wgbgbhc9oz4/VX8hl/s/muETRVndLhvmzQ68L2JlgCoV0/PA6u8oKRIqonlgFh3iYF0LWOkntQvaqmhLt5qqkDCCpstMdd3XHby0io+tS0MxCNe1BzvQUE+9RG3v30UsFAO/9b+4zyNXAgz8Zq8phHFmryQTSmVkwy/NG4VEDmgx2+VCc1TPTqiZVc7aav2z6WDGYYD5iTkjcEE//FDwrzbj7eR471UjRpYoUy8IRjAw89EaQgQINUI4b6WFx7asfCkKnDgPNVE28S6mcOjUs/S43srheSAdI6yrfipgDRZk2qBOgWOj1MIKXzo+qdHiZeqnaPKOFna3EaX1nCHgpT20QgfLp2uJeBK9zNV/TeHzxGDj/M5r2rUkOC6tY+5jpG+42tJLkfmweg8HZ27idKcAxAByLCTD+E+PPyLdSn+H/dx6I/JybV71vSM3zhxGFRN/KSERqw1l+bfcyd6jyoFp23htiNP1SYIaTXRRtqgQl8BFZenXpITUg0lJi9tlLTfkrJLk0373MmBejxcJ09mfeW2yqrrC+3v1Adp/BLAJ0NjriEwSto+B1pOufF1vX+OEdaIlSqn3ZwZ9aaSHmAekXaRjVSn0yurGWPC8xPypidCcOhPz/vDa0GwAaJ5U9gUwa+2Rxv5SC5+Zgv/c7gPHhZ2C+48SKXQQGV5beI9JcHpCezSungy9sqtvCpXtgtXjAIUp0d4S/c6D2LTcF+PBycbnB71rCpe3CMI3ObqJBPnwS4FqGSEVEbJtgHK0YgFXgF4xae73gOzkTEf6dte2SBet+Q63dgzzdEtDqTaNYTaWroBUaOWr52FCmpvOG//N9m8zW1ucwLUcLQS1qga8Xl+GCusXWH+Yldg+82vrz8WINULDfSsrdGBTkez9JRBj+cR3kYVlgMPd18Cp7mWmrYF1+coFu03XrcaAcGeN1zRprKRLOaUh+vFt3pySb70211zdaU8qZxRSv3dG4dqDHvzeAmfS0BpxNhy344S+DAfjqfeGK5m7C7UclgPcPiPd/fxNz/sC4DDhik1vnTM9Cg0PhJND6vdaZBKE3yJElJFzg/GaR2cl7/nKPyRSc2CwPU2YuDU6/jNx0VxesnCb9WGpHCrMEbFd0+JpjDRJp4yl10pGCXm1Xn3CPP0vIUR5bw07YyW9P9hUfJi5/SJK4vHyo2X3t8DpSXGo+NP9UY1N0brW80cL57vABjII+8a5ReYNk8Jp1W0zRI4oQIP+HIIELv/eL2p3YdwnoYG+aDbYwNSjuZ6U2lSV4rSAdMckHJW1FLvKvHN/FXPM20LVJOSTZZw6ru5fejqXkojoZ+K2LJMwNVTxg5wEx9LQOuwAIqNlB4tAaiUxu/KmKn47AGOu380T+VFOeO3V95qBjhx/WwI8jNT6GOABrait2sI8QFc+DgleFXVA/z8LjUO9/G71Y4FSCVL0aX5t4KEK48tEKcEK8WaJowqbOeJJGWuaX4+R/lwADXHU1G+t3Fd21S1reKlsrKTUsJ/TmGnvthEebNcVQCjXhuntT0jQJXyjeQZ/Z//q4CjV76bC+n6CM+Jh56MJIDbBnhX7azqrnhZhfxzjDboA4AWv7peT1UHMPFrPTj0lzaiwKsCKDFAHYtwX8/qdoOaBpqBqJGzgp3iGNkyzfmZ+BofG1StfaFOjQdrG3u75Kp+Szz2/h8BrARMI6FHlKNHyrjJoXU6JZfqd/wtJVdfxW/lhY7WM4evbSjhTSgZjJVR4dLcV9WzTppfyzksqgzlOfWvOnNDDW78p+3l5QxQ85RwvW2c4OekcAJF20SBZ6pauuXnZ6r4Rab8kk+E+3C6ekuPnoa+EyDF6cqbGbUcnaWtZ8+leivA7IUq0n+9duspBAxGDkTnAIIT+lGe032uf/V6Kst5UaPhoDQuowp7W8qM6xtRznO8k21TNf4p/yhtUq6rRw3JOXycLrCeM8arjmc7tz/ZIGbDF16SelVIIw88LxjBep6oHrzNJ00cm40TCSAcUC21VqpnG3C9B1JzhIe9ttRWtRb1HhbAxNuIQh4JxYyAmZbLPM7pkwqoXH6kmb+eJ5WeIztMYt6qsNBIObiHaROQGx3TJXWkdqG8asNSut95zHp/Ih6Dqv+3JRNzPeWDzgk2PSPOzRWU7Xb6aYivHZeELevtG2l9yBe8MlgBoHiDxrEAKT4zThXx3J12zkNSq9zFXRuxZ6Jho0Z8LEnyONIp4QqYXDeXqQIM6wb3bQuomGeXJ4XZRupz/cKC7tJp4qXJyOk5IHXYYFUp7Ln3qdyeCo9sDlA5nlWxbcL3HJngupO8azrNiTn89Xh1/CWZTOVBr6STx1nuG2E3H4f+2n0t9IcjlG688cYTr/m47W1vu9YzOOOv3YuwHurEh8OKyHNsdvdVXtRSSzgJKH4nBZgU2jaUhFp2Peuux8sc67wHSD2gSm1J/6sh4CZhD6SqOvl3Grc5Bs7pUPapD5MX0FP6PY+t+m/Em+6VPcL3XOoBldaxiZwv5a0nv6uBiIZrm4smVHWMHpuENDZapLdya93peamdB6m0aWGOghkZwHRdAaMCKs5beVWpfrWkVDGNkgtpjPCwifU46k25SdfznkYmuVPoSVaWHr+0hOZY+6NUKfptKdjDoJ63kvidcz0pde2PUaCfKyfO+BqR30bOAMc3388eE3tSmnb1pvUpeDw4Ib3V2b45jWef+P1yGkFC2O9YHYukKD4a1pprYSCvCjLnG7VutcxRclY+l6388PUETJsC1SZWZqrXTbgq7SZbGncFo22cvLGUkiwt8Qrn5KnK30Q+lpAr282N0b7qtW3Of8nzTHO8198KDPw76SOW1UbwdJB2hmoPmDgvE5cNcALQNBDCA77Y9dfeCYh02+WHPLwTEJ9WHu/6w5l+rbydB6kESD2AqgS98pz4HqcAUxnOG5qjjOZ6X4dlESbvcBvljyifOZ5Ub3wcKG0boEbGyrV7xLLe1Kp39Wxa3pL6e/OtkqtNDaUR/pSnuXUlUHKg4tq1Mm//rvit5khlZHO9ACx4VfwcVfXB0XFpHoGHYxnu02eAmJzCc69e13LnWEu9vCoAED490mi0HKR50Pk6W0XuPvWqliqlJQDVUxxpAmsYY0ShO34rgDoTqOdVcZ+qMkiKYW79zuuuaAQQKkDk31XZzpufayhtAlxzQJLz6DytogLaPyvZBMb/uz6bE3HQ+thz4yOUsCmCw33tMFp4Ui3dPvCw8Cp6BiLmld/ae6xAqveQKg+cExZVVpV1nSbliBeWhGtUcTqLzIEurCAWPM3DdSSBGVFUmyh4N3F0kqGNfD3dP9K3FVidKdSzfPFdyZMzalzZVR2btmGElNdqvjmgmsPPpkCuZVSKX4HJpZORyWN8YNazK2/F6bfeeKOuRvCc4MU1kMIaEsCoARFAqu34ayG/tuOPz/bjZ6HU8Dx2z0m59Bw3WMkpBzdx5vLam2hLLHunzBzwqLCOWJZzwbhqW8Wb8peUc5VWxTE6XtsAqCXeypK87OU0Sn2ZLPoq7cqb61HNqWfUO+pRVdZIO7YBXO4e1TPpeiXv6dpBJ+Tn6hxtk+pT9qr0WSrs/Es7/fje0fp3FqQqzwlptsiB4D1PyrnYS/lUC0n5HCmb2wDeK4sEQuYmopvMrj7lbcSSHVWeqX09TyoJ/QjAV3JypnlTTK7NvFbB8prGe9Q4WwIWiddUj6sjpbXcitL9lUyOlL0pWKtsu996zxxQZapAsCLIDm8qat/YRNG+8fwUwn3tGjyplm6eVNsQgRcqon4+YHauTO0MSOG3kio5VuoaM+Wy9HDWVP4mvLMwzvEIGajcQY3MNz8kjDJ0Yo5YvawA9XrVRi2X73OTSduo1xyP2i6u2xky2hfKT2rDKC21GFM5qe3apmSQuDLmKnz+PVp2Vc9SABylngGVeBkx3qpy3O8k3yMgchBOoHFj4uSkmjNVm/hsP4T+sCaFdSgGqbYW1cKCLdSHt/diR1+bx3iAl/XpsQEplwYlJTxi6fWsuiW8pskw0p6qDfq/a0OiEaDqtWWEepPe8aT8jVibPaPF1VUB1KYWtJa3CY0YE5uWsYl3M5J29ThgmAMSm/TrSFsrGah4VgNvbhuRZ1WssyZeqvaOlqEGHgCGQ378YC+H/loZDHDsRanRuNMgNYdc6Ch5Us6iGFX6c6gSKgc6yjd/lDdW7pVi4bapZaf9oF4mT8CRftH2VpYmX9e0Kxffzvsdab+WlepQmmO58lhUiqenxLQP5wBU1Z+qmEf6ZaSexLurc1QhO1oyNyuQTDz3yuCNEDxPnAdRGUgsy6ti0w/fzwe9VuWjXT15b98AGjzY2+poHlXzpOA98QcvQUT5ADJ9LoqPStppkBrxFPjDSj2BFA8yOnjUCzjMNjDf7ErzTiGdXFXZaFO124gViG7N14kyV5HptxsrBa4eQLm01qtgkP7ntrmyqjaNyssSC13rq3jn/xL4p7odgLj+S+WNpBPfPeBQfudcn0ujHg/ypEdL0mHVWrbK702dpQdn3OB3D2x7eXinn4JUC/m1tacGVji/Dzv7ONyHt/9Cj2JeH4tXdTD1JkG6J01EnXhzlNUc2mZZrmznZTCpcmFgYKUE4dJrSwCqZ931lJvWlUApXa8UjlOQPUs/AW6v3anvKiXtFFqinrxq37p29tpfzbtRcsaF8j03vaT+anxH+znJjpaTgGxk7q6CTGudOkeVR+U/9Qvz4I5O4lPTcb5fI6QBUPwOPDz4eyxAagScnJWelJ8rw+U/THBJ1mqPWJjdQ84q1JVnBh5wD784keubozQ1X2983MOIbuJwmyuLU/sxAQnu4d1zzDOPTfIm3LMvzI9O0Ap49f8KrB31ZMfJmLaHyx8tb4Q3/q9SwkmRj5Q/SpuAnOoQKHKWZyc3+K08MC83Seg6gRQDgGvPnAdoWdb5wV6ADjZR4AWIzXvCp+VFuA+v5GjfzctqPGDnX/PAjgVILQGq0fLcpO1ZXdukZKEnYEjKWoVb26Qghd2COhkUuCpFmsgBm7atZ1BUlmdqa9WvFa+uTvc78czfPPF516WzurmvOA/zpXxyP/Qo9QHz6azzauzS/xU5YBqRqW0D1AiPc0GY+xH3Jd2iZSSgXoV+UjBUoHT5R9vOhhWH/hpQNV2B9akGPgj34WHeRgAurJchFHgsXtXRs4qXUrJQuJ6kWA6DWDAroHCKulLazmvRcF/yGrgM1zfbojSurm09S1O/K5lxoNBT1olvtZQT6M0BTb02qtxVfpWH0bRrW+K3RyNtGAGrU0UjBpDKj/bdqNExYpRU5STDR2lkHHl+6dFJ7tR0Df3hDb/oi2OxJuU8jEqp4ZvTGhZK5/aNeGHbmjAKSunZJ+WXw3v6BLgqOH3Oih++Y0/KhaWcF8B8bwreo30N/lzaKXRn1TqvVMur2pRkMIFUD5AqZYx73fNQlZXtiMfMbbxJHsAI9epOStcZF6NljtCpmL88J9w4zzFuUtkgN95urFyZ1fmlyVNsH+dJ4Zw+eE/tfryGo+XHm3jbs1Tt/7bJAi9Q3HmQAulkqoQtWdpzrFDOd9ielRP0BLQMUu48Q20DPCcGKwUptImBqRfC2FYfjBocCaBS/40YNcrDiPWsZVbKIimCEa+qZ1mPgFRlUSsw87xy/TECYCNz7bDAaZTHbcqvMzRHyq5kZNUJB3J9bk1MN2uMjps7iYLXp5qHhJMoWugP4b4W1mPwann5NR14/fxOg1TPWl0CUmmSs/JxgncYAKU8O8uJn4twytp5PKPbvZN1NseqTu1xCmGk/5zVrZ/Eew9cR3nYVj+48nScEjnlVHlSo6Do7lPQSuXNBSt3f1X/KCU+5vTnNqk3Fs4ocHQQDAhXR5onSPfGsmqDGofuJYkAL07D0IURfCzWpLCNMYVYnCKDRYDrOsiVVa6emn6nUKEjFZBUJufntuJBOACMCg4/7Z3aATedj9V373lRa1r7l8tEutcXSam6yaTX085FF9ZU/nrPXs1ViiOAUt23Sd6kOBxIVfeO1L9tQOay3e9NQGMOSB0mOCWqDOhkqBwURl3aKeq2eCdDrQLHaqcfzym8Wr4Rlg9wenq7t3lOLY0dge05q50HqdTpSSlqR7P7y/mSEFWWTmXVjOat7lMlze0GYClQVQClSpu3njsh5vtdWc7CS4Cm/cAGhMuj3874qLbHO8/RtU0BrgKsbXiWrn6Vi20BVLK0Ex9zLfdRGjUCnPKcc1/v2lx+ThWxQTgia6siisO6jtN6MLErN/GmhiIACwZx847wevgW+sNhCLxGhdDfsfCkkstaDVoaVAcWztvpDeY2JrLjq/IMUd/Ss7G4zB5oV0rbAVrqc72WQEjrdSCsXlsC0gqkKnmZ0586/lUdrp3Md1V2xbe7Xsnt3DLUAJhjlHE5I3NJ09sGlEoPnGpyRlWjyqACVeOg8qvpysjUMef7sNTAW9N5rUpDfwBHgNOxWJNKA1gRK7URy51Jw2CNuKyRp8iR16VHlTS3nb+XKFXHowPDVCb3vx4xhbSe9adt0n7j+911986aqm+St+jGioF1Sd/1xtb18ygt9di0bvdb66hAzqUrBaly2vtWHp2S5esj7Rr9/1RTAqP0kk8Qt92dpcl5oJsawfNBuueBqixzmdg9DL55qQBLCAj3NWqghdBfe56qeVrHAqSY0FnJ4tQJVQmsm1yadpbGXMuyUmJ6D+rXyVlNXlX2vXa78rRMpdTnvbrSmFSANuIx8lgwj5UndRjUs2xTHge2vfLm8uSAuRdhqPprxPNLCrkaC2ckVYZA1ebe9W0C2Khs9frjIHj9AJ4RveNAnsFF+zJFAviagiTvMAYINlBCaA/rVUi3Mo5FuK9Rsu5HLDv8rsqurI1k+W0KViP3VNa/U958H9fJLjv+gzXktrFruQ6gmJ/0vi7my/Hu2s0fd9QT16/WnVp67uR4LWNkHJDmdms/6H3uW/8/LKrAZI7iT2VV/6t3oJ5Cmk/VjlWVHWfE9cD3sPs8UQVMeo0pzblRUE7zTdfoqzId6LVvXp9ikGqABL4R5jsWINWb4GmyJYXIA58Exk0kHVy2bpQvBYs5SoqFSQ97de2pCHw30tOJeWOJPnulPDKo4bcKvvZTBVRp4nIehBlcm1UJ6q5FbH9lQ4L7Yq535SzPCohOl3J0StDx6MYnGWfOW63qx3N4LGtsRHBeNUjYUncyWZ1vl+Yat/uwKfXT0nAfCPMU+iAtOehmKye3+joj/JfCjbxxolHLB+DBuLZ8GHe8rgNG8bFYk1Jh7FkbvXt1ouogOreb8ytVE2PUWq3armWMglWyRvWZq2Stuna6NH47wHdAxcpJJ1ripeKHx0wnIedV46Qam54CT/l6gJXaMFpfun+ODCWAcvMojWviRceAAQtpbbcaLtp3UKDK30i7kM+lezTXkJkLUCPAfxBCctxXI/qhmtuuH/k/LUPXiOFVcRpgxUcmHQuQ0u3Hc8vgstz/FQjpbxa2Oc9NbcK7A86Un9vL/IHvtImBhY/vcb8ZbHi7azWBmHf+drxoW7QNbKGnE96Vem2rqJKNZAil+xw5BTxab1XWSHlsSTNgcHkVSLE3oIcYO8Dieln2WNkxrzz33XzQdiXwGjUa5wLUSDlVmauByMqS9qge4HFqxFEPvob57J5RBQDpGPM6VEvD2zoW4b7eArobfGeNcVonorMiXdlp8kPxb5N6Vv6IcGLia+hQ245vBbXKGuR+5dCMK5vTfK8CmSotN9as9PhBZX5Yma1212c9T8r1Z8/z6hlCVbmc7gEQ98Wc6wk42dhyITn0eSpbFRiPAx72RFqBjuc2XlPO/YDrTkaqPnL9mpT8nD6s6lwCVCNlrQz49uTXzUWn75JBwuVwGFD1JMsG7/TDM1MtfSxASgGqJ2CVBc+KkfO6+9zAqYBoGnkSX0vaPqq0tJ0unU7uqDwBVSx6r/tvpC/cOKmCT/e7+tzH3ecmWkU6ofWa9tuIEaH8MB8j4NSbA/qfK9O1qyqn6rM0HuzpskID6SkqbKA4eauUaQ+UkkE6ClSuz0fnZA/0DgY9ornkZHFOmvvO6RKAkq5vA6gacI0a70capJJlnyYXd2jPqpxjTWOyqIXCfDowPR2EunULKveJs8YcOHFeTmuZHBoYVahpjFL/oR5VgPCk+Lq2TcErAdkoKe8j4OrKAC96T092l9KoFzIHyEcoWfS8mWUEmBx/HKrkdvSU9Fz+R4AkGa0OOEd4WgUDA+WkfAwuLmSX5oEzQPR/hGPZ+271wGtCul0/dp4UU2UxqyVWDTTSKZ+Wr9Yg1+NOSDgdYOVAmi3ZytMAcegnCXhSBAAs3DtiyVcAz3xU4T78zye8o3znRY4ClbPOuc3bVIaOtL4llLw9nSfbBieUwx+3/lF5Ty7N66A815Jszh2bCsSX3DenvlUngoC0GmEOqDjtDFSX5nt0kxXP1fYfNkbwhix+uPfYgBRTsvA5v/MS9P+UTt6E40Hvrcrq0bYUAtOSydnjRfu2Z/X2ykt89cZd63a/mY90fYQ/8DMCFkuUlAPBysuqPN6KjyW8ub5xytGBwwhVbXN8uL6ZM3d6+ZNM9MYmAUbSNVXdSf4rI3pUJl06GV3aPk2rUY4PhwFHZWEnQMpNTLbKkIetZs6rZemk6oFKNUlcGRynXQJa2yKuU58TcorbTSpHDqB76RFee2NQfaoy5yrPU01OifXA6rBoxMPUueQUGq85NUrP6DXiB0T1OSmuj/lTuVJdofyk/zmdjILKAE35e4C7xJg86ERAeve7evRUC20H6zmVSXhSvGGp/Y+NMqNb0PNTYhvQBz/4welbv/Vbpzvd6U7TbW5zm+mLvuiLpre+9a0nNfA5z3nOdJe73GX9/0UXXTRdddVVs+txygUdpw9xpnPbkseldSSFxuVxeAkfvPCLP+55ndNBztLBjj99sy8rhqTYEziMAkgFJi7N91R18/e2AclZk4dBTtk5hbqk3JFy5oyVkyl8mmLi52T4Ov/H9+jHnYSifOqaJOYhXsjHn2qeqt5QHTLHKOI+qvo+6Zyb5LxK57VU87I3blq++6hOcGOrY4pPC+/huz3IO/ow79ZB6h/+4R+mr/iKr1g/Wfx7v/d707ve9a7pJ37iJ6bP+ZzPOZHnR3/0R6cXvvCF00tf+tLpTW9603S7291uevjDHz78fpERhZWujUw0LTspouTBjX56PIy0331GJ0vV3t5EGqERHlJ/uAk3an26Ol1ZyfiY285UbuJz6ZgnXpOC6vE1aqFXlIy86pNCQen36Fjp3D6Mj6vHpXu0jXFYdfRRMsZ7eq+SM5dnzphXRu4pC/f9yI/8yHThhRdOL3vZy05cu8c97nEi3Rh7wQteMD3rWc+aHvnIR66v/fIv//J03nnnTa9+9aunxz72sbPr5M53Vo925Kgw9QYJZet5cFoG+OEyqpDFNmnEO6mugfRBPqck5vTtXFoyeRsvvA3WyUL7wDrUSbRNQt1zZG/TPFWdI+W7+0Y9BpZzEMaBN+lgKzLPWdyPMnR85nrzVft5DnKIcUSR4j+WK+VlUzk6WLCWXQGnljHSPl4icTsuWcfhtx6rxBsncJ4fdgKeck/qt37rt6YHPOAB0zd90zdNd77znacv+ZIvmX7+53/+xP/ve9/7pquvvnod4gOde+6504Me9KDpyiuvtGW2I92vv/76kz5M6uK7NF9LLntFPatUeeiF+9xRMKeSRtucLGDXH/x7KU+JjzllO75d2MKFNBWsRmkE2CpL3+XdxONy3/q/+095netloEzudxf+wavFEfZpH1zTD9+XQn6u73Q+cniv+jjdUXkm2l+uH7dFBwNRAuVvdNy4fGfMJY9Xx1nnVwr9je7u2zpIvfe9751e8pKXTPe85z2n3//935+e+MQnTt/1Xd81/dIv/dL6/wZQjZrnxNR+4z+lyy+/fA1k+DRPrVHqbOfaLhGeEZdX066OJBibuOCjCrQnnHOAmvlJ7a7Aa7TcTchNLgdWVZ9u0gZHPYXhrvO9m/SDtuOwPPZNxmFkLSQZSnM9qhFl3dMdI+2eQyPGy0HQb+63lu3ak+ocaVc1tu56Na6nJdzXKm6e1A//8A+vfzdP6p3vfOd6/emSSy5ZVOZll102XXrppSd+N0+qAZV2rFvkBMElZZqjlHX3G9LMAwbFCYUe63KYmydG26pWE99flV2Bdco7qiQd7z3iyaBbXNUj0rFqpDvJqpBfu3/bnmIqE9eW1ukU90g+zT+i3CslpsoI7WnfOH1A5wWXxWVoeb2Twnv8clnMN/e5U77u+qaUPJtVsV6s/eCMHyXVUaO8Kx/clzpm/B8/M9V+4229o+G+rYNU27H3BV/wBSddu/e97z399//+39fp888/f/19zTXXrPOC2u/73e9+tsxb3epW64+SswhG14f4Hi7LKVpcZ8HGfVCMyOvK5QdY9QHFJcIyl3oWIbcvAVclmGly83363QPCOQYE88+WG4+pkwXmJVnq26K51ng1DnOoUiYj1AMqzaeKzPUnj0n76JqUyqsaDW6eJaBiXvn/Ed3gKBlkm5LrS/69MgaLzln8X4FdTxaWzHsmjJWCFu8PwAP1p21Nqu3se8973nPStb/6q7+aPu/zPu/EJooGVFdcccVJnlHb5ffgBz94Vl29CdNTlPpfouQ1zPlUbaj4Pgwa6bek1PVaZeUlq9OVkcoaUQbuvl5IySnQSgEt9XpdH7v+71m/m1Dq100Ubbo/tSnV7z5pk0R1/zbbltqraSez26RKPg5mrDNxeSPpnqxXfV/lc+N6Wjyppz/96dNDHvKQdbjvm7/5m6c3v/nN08/93M+tP41a45/2tKdNz3ve89brVg20nv3sZ08XXHDB9KhHPWpWXbCO2MoAKeJXQo7rjpK1wMTH0KNe3tHCZTkrUC3+bQg7lzUKRHxvVa72m3ot/P/IduKKlx5P3E6ciu0mnbY5KRc32ZI3xveOAMvI5N+2HGyLdP702ttrJ4fPUR57O5Xnm+riB4JBvUhHr82VMu6B1Zzxc/OU2wVydSv1DEwnY0vkLelG58WxbuBo0mkBqQc+8IHTq171qvU60g/8wA+sQahtOb/44otP5HnGM54xffSjH52e8IQnTNddd9300Ic+dHrta1873frWt55VV8+Dcsjuro+Q3oPB0C2ZFU9JoA5LGVXKpFLcSVHytTRp06TW2L+b2AkMRvrHKYkKnNPETXW6cImWW1HPwu0B02HJyTbLTEZXzzCoQrO9+YPr3D+VIep46VEl66ldmwAU04HRJ6kdc+rcBKiSXlVDHfNeD5jmM/2GeF2dSebaILXwYNvl90/+yT/5rI5x7jFb83zECra0qpWfKLnberApe1I6yXhhvtXPfB3GM1NVKEB5q6xGvofbhvcC8XW+D9tR0cdI86fyfBwfCezd+Li2unsdaZ09BcVlJVmpvDHtfw6JzJWJnnHSK5e9Gn5kQmXclcdyzWkX4tFxq9aNEr/MC3jV91ZxHpV75g/y6Y5icmNSAVXFs7Zf+evJTKPenFDeRsB0CXi7eaZ6gh+9aQc94Pm4tqP7wx/+8HTOOefs5tl9mCwI8zCpIhx9GLAiZ5HBm8I30hzuY97cOkml9LZFlWfA//WsKSfUzDsDrev/noWbaIQvnjQ9gHJgkv7TfsIYH6Z9N1cmRjy6ZJEnBZeUMfdD2qwA61lDbVW7WH4qvlx92hauhxWlG9uejI70RcXfCGlZKntujJNX2ONhG/pmFCDBJ/OuhmyPjjRIsaWROq0Suk0GShWsUwBO+br657Z59L4kxD0FNQcQetZk1e9apoYelrZd+z6Ng5v0FaApH6l/030jtETpzQWoOePsPCUeo9SP+GbAUrlz41PJZcUnfycFr14b31/J6KkAqKTDDmaMrRsX7ZttA1T6D3XrLuZGcyNGRxqknKcyV1E6BZ5oRHE74R2ZECOglSyquZQsNuZvU9rWpNiElwQkLozS87xcmakOVYYj49VTgEypvE0UWo8vN5ca8fN/ri4HWGrguTqdUTHSNihG/IZ3pO9Lczpjjp7o8TYqtw609f9VJ0+qO4Gt5llK7t7e3OHPads4cSqpxZsroeLO0BAb8jhyCkuVkRtwjldrKGSbVs0mQNq71uMpKd3U92my99qL/nZKdI6l7QA5tcdZ2+oVs3UI5TfH0HH8LTVaRuocuV6dxdjIPcjOvDvFnx5iVwWV2pna3rvuxgh8uDUfbe9SoNqEXPnsgdwU3vjd8+S1jk31zmhb3PzkjRN4Pmq07iMNUjwBkqD3QAzpRiOWtYKVq48HIymJpUJS8YVrI0A1mm+EXJ+M9PdIuYnmhoSUzx6l0BDXrTwkJcLpEXAe5W8b1+fKgwJAZejpvFKlm+bSknHV3zAgdP0wAaq28bAAqSKVpWpsDmbMXwfEVZ6llAx6/YYMHRuQYjCodkPNGRwXqnEhO01rfZUgbSoUlVU1osCTwu4pnlR/VeaZQqqc0jhrHu3TkZBZAjiluRZ7UrC9dvf+m6PwnCFSHUuE/kNdalyOyuwooRx9PITTid9kZJ1K0npvMs8ejdxb6bZt9zmXyXUn73tO3x5pkGpbGRvpFtGeJ9UbRP6kdS+1LHViaPmHJeyV8Dqg7lEvT+VhcBmnou2bkLahMkzU6tdyEoj1aK5sbtLOuXwlXrksBhhccyCPvCM7/TZtN5fZO36JeXRt3/ZYjPAOSgB7VnjYeU7o7zApeVHHduME3kvC7yqpFEqjudZqsqwZlEbc3MOgSmlq2tEc3pYouKWW6Og9Sbn08qYJ3svTsz5TuY6WjMtcwEn5Xb+NWtgOBBzPh6FE54w350GbGJh6W93n1LNNGul/JZe/l2/bXpTWneSJrx8LkMLGCT6WiFF6BKiS9aselYIV7kPcG2Wl54T0vm0KgFIlINtSEksV8Db4mFtm5fmxN+CMjBGjY2l7nBwmSkbTprKCMp330VOU2BzEc8HxfBiUxrIiHuuR/jwTogErGRfnnVRjC+oZ71rfNvjuzbdROtIgdctb3vKkp8OTNzVHoBWU9AVorhwONWpawUsn/1Kh0IE+VcKnEzzxVPVvTwluwlvPonekkz/l0bxL25PqS2BV9flIXdU9o5EH/d2++XR/Lo/DeuB9m2OdvNzEJ/Oi98/p2xEQPAxgXpkw4KinzMTtZJlN8nu6gHmnQEpfZ+48nyUdrVZW8qbSU/dqrY24v3xvomTxz7GQl9Bc692lmYekGEf4G7EYR647TymFJUbaxu1z5K6PeFJzDBGtZ9TS1ghBT256fVX14abkAMXxOsr3Jh7w3P+U7yW06rTVza05fbUtnVHxjd+jZe9EuK99o0N5px+suk2OsUmA5Y744NAfzgFrpM9mOStPqVJ2Ffgl/jdpO/9WJdHzUs8Ua6zqN83j2una1PPARizrbfZPUsr8X89zGvUM9T8X+nPGGr4TQM8Ba/UMtI6RNhwGUC2lOQC2Kuqvxlj7UcdhxMOaw6MzDud6nDsR7uM1KYT+2qTBIYaj7nwiTDT3MGAjHmg+MJaPpHfnBbq0CsUogDlAcZ5Mur9qO/eBU+BaZs8z2FT4U5k96oETynJpLQffvXqrierkYSlVMjMq98mjSv3bC/2hzFGQGvFCRo2IOYaEtvlU0qinvFpoDFXgruWqPLr6l9Cm/XqkQYoPsXRPlIMOQ/BUkbGlCt74mlNU+K+XXjrwS8t2lupoH871ojYR/rleymiIJIFZKnvEqu3RNgAqKdyUHqG53siItzonXckez73kMY60QdtzqsiBxoiecNQzTJL36QwTTi/pw1H5GC1vJ8J9n/rUp9a/4T0hzc8UcNivUkDq0SQLQwfYgRPn4/LSDkDkTc9aOV6VKgU0qqicQOPbGQHKj/MQVJGeSmXA/PXGXhVf1U5OJyWRJvmcSdprU4+nCpwTbaLYNXpRgVWSE8ePlpeUfFX2XCNqlOb0VQ909Voj1Q0946l9p92WzguFjnSG27b7aa6hdOTDfW3Q2kO9GECsT7Vwm77KA96WnkWmg+CEO72WgMvh307ZoRzkT68GcMLSI7U+lZ8RxaT/a7oHUNxn1Rrc6aQKnHrXHdBU5ep9PSW9tC1V/ya5cKCarvW8SuXBAUmVf1Q+nGw6eXTGgDOc0j1zaZN7nQHI1xsxWOg5i6NGbAK/RM6j2jZgHQuQAvD01owYJFI5abIx8ifgqCwjrp+vqQJc6mo78HF5NwWqnrJxv5co9Ll8bYtc/7s050/XqrHbpB82ATM3/qMANLeekfK2BRLOiHBeLPM3Mk6HSc746aUdJeBQYOFrc2nTfql03Gi5RxqkmgfVGtq8Jw334U2QjbCJoZG+PbayPt1BmgpcaRC17MpC0uvqgSlfjkZA01EPYBPvWq+zVLfhLVT86P/bUrRz8vWUrTNGtkmjXkgFVCn/aNmOn/R75J6KkrfhPCpur/OuND1HhnS+LRlXB1Y9D/Emc/ybO6xV26e7kE8FVYbtHB21M1vQGyHEpyCVXh+dQIZ/u1OUHUg5T0nL0vwurTQyAZIirARhDjil/G6yO7DalEaty21aw6NeUWXkzKlnJJ9TWkvKGJGPTehUeCSVctd84McdbKt5Eun/zlubO+5VG6CrRjyklhePuyix/uI3iLvXCG1z3NKcXVLHzjzMi0HWD0gHl6kCKlVK7lTiTRXVNkkFmCm1fS4w9Ky2lG8JjYJmApWK71TPSH9uopC2QUv7tpKPXj2nMiSG+ja5x3mNyZus9MPIdS37sA2yRr26HX/834jhNdqeUT0yR/Z2KtznNk60Z6ecVwUrhS2LEU+KO1sfVNS3flbhhgr8KprjUY0qxRHBquo6XR7UHLCdm2eOwXG6DJGllJRZUsCOThVQ9YyGSgGnMvi4prmGVSUXytOcOeB4Z0/qwBha0F1pvlVp1lvaR25OV+2YMz+r68ci3IdXdrTfCP1puE9Df41UCCqw4gHWwWYgcwKQBvt0AtVSQXJ9croBKt07oox7luWu0oiST3TYfZSsb1DyiHplKpBouirLzVUHTMqj3tsr2/F8IDrKAWy1NZ3z9PrS1eH4SulUfpVnp0FKQUh3+rkz/ZhGO8sJ3JxJ6gTcCZpadZsqnSXKp8e/a8dcsF3KxxywShZqj9x9c7yrbVqQvTKTYq14S+A0Yi1znm0B1RJDalPjzBkkS8YozTkuL4HYXDqQsl3UhvmqeE7l6v+jAJW+032u3p1+Tgrf8GhaGguJ/MxUC//Bw2q/4TL3JqkOmnYuABHp5EpreQ6c0kfzLwWqTaxn5d3xNKLoltImoYVe/tTPVX8vBUBXzlIFtg0AWSIHrv50fVPlX+VJdc+NIrg53atX5SVtyhjhuUcH4cBspyuSTtuGQQFemCflj/M4Ho6dJ4XQHu/yw4sQ2zfWpJxX1ch17AhYNdKHcnlyaGjBlVEBkNY112vbNlBVfPd4nOv99GjbAMX/LZnUlUHCVHkt27K0uexTBVSOj9E+WUquL+fKdAVmI3Kino07t7DiV//Ht/J0YACAQRE79fRNvs6g7ukG5Sf1B/Okn9SXm3isRxqkeGMEBgtprEnhOjweZ5Ew9f7j75GJ0wOcHnCNWPU9XnRC9dKpTPd7LjhV3uUmSi15Nm7Ca71Iz+kPLS/JhiqeZLjMbXtSLNoGR85rmGsgjOSbC1ZOSW8CVqN1O9muxtPJSTX3R8Yk8bMakMH03bvXAZkr2/FegVQFescOpG51q1udtJMP5/hpuA//t7RuqKg8mk29gp5X1nPde/z06l9KI95kBVJuwmjfjXqsfL2yflN9Kc318E6pBO6pnhTqZb71bdGbjGuiEUBK/2/D4+G28+Yk7h/HJ/cFP5Sa+kjloDdft+klOv7nUNUe/T95QEw9GR+ts9cmfaYqbUZzcyCN7bEBKYCQC/ch3QjAhAFRr6pn4fP/DqicdeWoEsLq96ZUWX0jlnTFdyKdNMnTGQUGzTtar0un+vn6SPuSJamkhw6PlL8JLRnfTZSv62ueZ5pH63bvY6v4dnKSfm8ToLTNjpeq75NsJ0Aa5f/AzK2ROnv1uHmR5D69gYLbpw7BsQUp3oLu1qT4kFmdXNXA9dIV2FV0mODk6nLtbNRTZnp923z2LOiqXxMAjliZuKZpLS8ZLAmMK8VTtX+kfSP/OeVZKa6R+l2/6O+RD5cFT7Ndd4v+I0p25HdFqe0jhmeVPwHXiHer82E1c77N5Z3vS9cqY8QZJtsyGo40SN3mNrdZNxqhvUYt3Nc+7donP/nJdaivfTgMiJck6inkevo4aDQ9V5CSYl7qFo/W6QQmLfweJmjOoaR0XbhtVElqGTqpXH2VBalnojllk9o20vaKElAn2ZpDo/Vrn2CN2D2jCD7wBmvuJ8zNHr+V0l8CUC7t5EDzJOMvGYKpXQzYakjfZN7c4ABMja45493TczrGPM5uHjje0MZjA1KYBOpJtTRfd+E+VVqj1mpKpzLmCMmmymQuHbZ3NJdS+9PET5Y8p3WctUwtK4FTKrOqQ+taYsiMUJLJUS9qhOZawcnC1sOd3ZjNUbC9qMCmYKVtWjpnlMeKB9RTecOrQQ/LGaSjvKpcjXz0zEFX/xxejjxItZMmGgDhOalmkSHdvnFcUvOoODTI75niHYAJ4ZNV4ciFRE638h+hw+bRKZBRj6OaZJuEeQ5jjOYAwhLPe9SY4t89C38pJX4qi5s9A9yr26eVt6oflyhf5Z3BoAKh1N5tG5cMQDdJCJTTzptybZg7Hw6DNpljRz7ch40SLYSHcF4L7bXBbd8c7kO6fVo+XaTtDXLPGnBCdBRo23xWSjqFOXiSpTIdAGh/bwJQo551Kid5TJt62Mg/ahXP5X0bYOWsZQATjEI9kgz16i7bUeqNlfPSFAT1/M5KDitveVPS+jS8d2DWU6tPasNhkeubbXhRRx6kENLjh3pd6I93/bkHezn+6yh1cmWZ4f+klF1612hO2Ab5R8obTR+WB+TuTeVt25vahJcqPac8ptG+57nG+XB9KR8jY60hqd64HPb8rDxZV/eq4HMEoJZ6oUvnUqLRObFTINXCee2DjRMNaG5961uvAal5S5/4xCfW6eZF4bikFvprv1tHwaMCeCW3vwIpnvBVOGXUujls0OopsW2TE/Te5Ew06snyhB15wVs12VNe5oHHVvuyZ92O9v0Sz455WAroI2PHZS2Ro6Ue1GheBki+X8dJQ2tVFGCbytuVO6I7bqLNJUs8qcqwdqFQvZfrSfON/3P8HouHeXk9CkCDc/radwMl3ekHcELIzz1E6DrQKUkXKkik5Wqdh02j4Ype20fyj1ipc8iFPSrLTF/wVinkuZMmUbJiR4BqlDYBq23ldwpLQXFu2UnRuhDSUoDSRX3wrXMYclPNaydPo4Ce8mh96vkpJdmaI8fJqB65L42TC0vyTmp9zchOgxSeheLTJPS1He5Mv+pliY0qheY8KWd9zBXMkfs2ocoLGbWu0yTsTc5N2tXznkYswrmTL/3WenSiJS9qpG3bJKc8tV84vQQIeop7VAlVFnpq1wgYJIMyzV/+v5qTqR8TH3PJyexBsWywiS6pvOuqnVz3iMeV0scGpPgEdHQSPCWE9tr3xz/+8RPpFgbEBguECZO127MUKmXYs24qS61HI5Yr5+tNVJRTTbhK+TEv25q0SdE40rrcA6LJk3RWfE8BoO183e0OHfEOqnal9lX3VMCj/80FKF7Q1/ni+sTNAe0TRDN0HnJ/VWPolHrPk+Jv9pqUZ/xf9XFl2Dmao6BXEoZ0POr3nLITUDkQd1EJNxbuucNj60k1gGohP7yhl1/N0Qg7/ABIDFrY8achP3ScCmYlhD2A4msVEGq6qi/9dkrITVp3Xy/d46XKOyqQlTHQI+5P92B21fakQCvLsJG+8FJJFWBqWwXCFWDOoV5/OgWu9bFS7xlllbw7gNLQu/Km/VzlQ1ofLNYyXJ3Ke+XJLAWqiiqDlmmp/tjEqNRdh7iP55oDde7jkQe1dwak2DoCSPHzULrTD6ejVzv9QGpF8HWmOVYLvkcAoSfwiY+ekncKsbKoRieeWl9VelvglMqbUy/KGQXpyvLs1ZHa42SvKmcUsJd4bD3A1LzaV9wn6pE4kNLfOhbJc+q1tZKnBHbJY6tkaBNwGpHLgxm7Q5caLz0Zr+YzvpfMsWMBUliDQqcCsOAdwVtqnxbia3nbt3pUeL4KaM9b0tmacqRgxoDnLMhtCNeI8uHfvKvJhTyYnPIY5clZnqOAMddrqkj5SKCrSipZ/lo2t8W9S8zxUrV5dEyc0tKyHXhW/alK2Slp1wZue0VOlnAvvqswH367g2pVUXKb9OOe1+IP181hrdTvqR+3TaswhtsAp5E6e2mnL3tzYC6/RxqkmneEUyfYe2J3EkAEcGrf7dPytW+E/PgB33RqdaIRRVxZiy5/BUQjE8IpHzdBHZ+6VdRRr39GPBjlVdO9ekestyXluzFy5TIwJa8qja0bk8SfA89RoHL/OzCqPiwTrg8qede8jRiY2DjsrVU4uVUg1bbp+XL84TK5fgYtXdPU/jxMcKrGcLVlYEo8jMxr1Zmun5wMHguQUkHEw714borDfQ3MWmdipx+/GFGVjXpCVYeOeAkVzb1nG0DVU9qj7U3XNZ08mTn1ch1V2pU5Z4wqJan5EjBVeZU39zsBVY//qp29fu/JSsXbyDUFqpRWzyXx7RS4yrXj3fV51Ua+1tMHzPM2QKQHVKeSUrt0DmgeTY/OmZ0CqQYyDDzsSXHIr3lRbZMFPCl4VTguCUcpaeihWuRTAepNLKU5nsaIwkgC1LOUUxlqQVeT5rAsysTXkvDByNiMglTF30jdaQx7CnAbvKS6VC74wUx+bMN5GVqGll+BFpenXiorv8rQ4nHryXky1Hq8jxgJafyWytWZRCOgOeIBztUVOwFSCPmpgDfCmlQDpfb52Mc+tt6O3u5paaxPNcBCyI83VDRKhzw2cpN0m8KYJlCyXisL2ikhpzx00qt1q2WPeE5LrSjNr3zNuXduXaN5R9q1CYhvQ6bSGGk9yYtiMMF192brnhHkeHKPgDBPiUdHlTc1AkLJY6rGIBkcVZuPKq226CkeG5ACqeDyLj5eq8JRSi70py9J1Bcj8gTtubnb9CwS0CwNKy3h8VQL5iYhvtHytkWj4LTEiqzKd1ZqRQxQ2zakKuMtKfvKQxntp1TeaMSDwTF5Bvzt6u/xlcocaduZSL2IyraNtSMPUghB4AOgQYfwUUgI9bUPQn84Oql980JuuxfhQt3pw8SC3vN2HJBVYcQUpuhZqOgXLouv8e/Eo07+SiFWk3sk7+j1OR7UmUKqFHGtCpWoAeS82vTfUh4bafhuZNwUGNhD15fhJS9NPxq2S9QDJb2f+4nD+LrT0D1cXNXveOj14YhBcRRp1emrJYZa//TNmdSU/LOf/ezpHve4x/pVGp//+Z8//eAP/uBnDdBznvOc6S53ucs6z0UXXTRdddVVs+tSYcYJFA2A2kGzrezb3va20+1ud7v15/a3v/1J3+0/fFp+nAXYPC14X9hc4T5p8qUJOELJE5rzSeVwn43wUHls+N4UoKoytqmITycloK0+blv2pgCV6q7q0vs2kUun1EdltwKL0fIYjBMgpb6o+njEYJwzTkcBoFYzvfienjilntSP/MiPTC95yUumX/qlX5q+8Au/cHrrW986Pe5xj5vOPffc6bu+67vWeX70R390euELX7jO08CsgdrDH/7w6V3vetcaLEZJhYiFk70q7O5r+Tjch3S7rq/8aGALb0rrSh6JekkjVIULUpt7k1l5UevFTRhn5Wtb53g1h+lJjdCop7mUligSZ0VWfFSelKZ7ZYFn5qE3nq78HlA4A2fEe1JPasRAQllcv0tXIDEC1iN9O4dGwJbTqzPYMEvyVHlRbh6cUpD6X//rf02PfOQjp0c84hHr33e/+92nX/mVX5ne/OY3n2D0BS94wfSsZz1rna/RL//yL0/nnXfe9OpXv3p67GMfO1wXv2oDHcTPQGBdiV98iDP8EPZr/yPs1zqu/dfKagDXysZrP9o1rovBi0EhWZucdkAyQmlwK8XHfKkC4LQKWrKs08TdBGTmXk9tnxN+qcbssCkZOeDL5U0glcoEJeOEZQD5VCZ4dx/Kgdfh6uH7UtTBtRnPOWr7XL9h7i0x7tJxPQAn6AnM9TkbOhLNNSLmyPCZQj3QUSCDnI22Y+sg9ZCHPGT6uZ/7uemv/uqvpn/xL/7F9Gd/9mfTG9/4xuknf/In1/+/733vm66++up1iA/UvKwHPehB05VXXmlBCoACuv766+O5WzwpsCmieWc4TLaF9hpQtXQL+eHB3rbTrwko3j/VCKAEjwrfrqORdoCE35peAlQ9pebAhu9jxVMprVMFUptMOJ3QlYfJ+eYojm1Tb9zd/8mbGeHdeRyuTM3bs3iTvCsouYfHdY2XDyTlXbVpvvQAI8mBewuvPliMOV8B1Ag53aD9rjxXc3p1GnbV9ciBzzbyHjpIfe/3fu8aRO51r3ud8EZ+6Id+aLr44ovX/zeAatQ8J6b2G/8pXX755dNzn/vcz7reW+TkiYKdfhzia+tP7cPpRu0bHhjCfji0Ft4Z86CT25GbWGmwVAG4yarXK3JKTpUL50uTq1Jsro2p/k1JJ7NrC1/X+tVgmMNXUohzeWdeRjy83jj06qvkL8lHeg9XpWhH0w7cAFLpkNm5Ss8BjJPx3noUlzN3vOeS9tWqMHLPBHIy7MjprtE2bB2kfu3Xfm16+ctfPr3iFa9Yr0m94x3vmJ72tKdNF1xwwXTJJZcsKvOyyy6bLr300hO/GwheeOGFJ55xwpt2AYpq1TXQaZsoGug07wk7+jjch9Beu457Wr7mZXG4kM8FhPXFQuNOCQYlRZGIB1ItTDcxE/BxfoAte4cJXLl+fdCysvS3RT0LWXl31qhTwJVVPof/TQAqUZq8I9Z4Kq+SRTVYWBG6I4FSu6oP8sCr0rPx9CgzAJU7iim9nYAPmnbKUI0DfFp58J6cJ6V9z/00Op5LKI1JI2dcnE4aMVqSTJ8WkPqe7/metTeFsN0XfdEXTe9///vX3lADqfPPP399/Zprrlnv7gO13/e73/1smW3XXfsoQcD4o5agHkSLnX/tvwZcLfTX/m/hPhyn1ICqlcEP9/IzVPwqEHyjzrngNCpsCZiUqvKcR5G8kKTcTwU4gZ+UVsXnruu9o308mv+wACpdn2N5uvur+hWwWAmPjANTGoeUh9eQGaCYDyUOvWs+J8Pqnar3xCCVDrud058u/xxKxudRo96YjNLWQerGG2/8rPfcY22oUdvN14DqiiuuOAFKzTN605veND3xiU+cVReAiU8yB4CwddYIwozz/bC7DyG+Bl4NnFqeBmKtM3FkUiubPScHUrAO0wStFLobxArYeverokl8cH73n/KT6j8M78kpR+dBzfGkHM/JYHCKoeJtTtuq/6u+nAO4o+Q8hB5vCRRcmRVV41kZTSrbPe9Y72cvbSTEl4jrHPEaeh5HMgpWA88tHiVKeuSUgdTXf/3Xr9eg7na3u63DfX/6p3+63jTx7d/+7Sc6uIX/nve85033vOc9T2xBb+HARz3qUbPqamG65gk1UIFVhWecOOwGCw1b0Vv+BlYt9NfyNXDicB+AqqVbfjzsC2+L3+iL/GqNpcm7iTWcBFYFG+3lSavhC/7GfZo+TK/JWYvum9vI1ndScI6SAkqh2UoZV57FaFsTj5o3XTssJeVkrDcuqQykk3Gj3hqvSaly1vMj9brmxzXtJ6T1uSg2Ot08cTxX/e8Mu6XzIYHyYRgsZyJAHQpIvehFL1qDznd+53dO11577Rp8/sN/+A/rh3dBz3jGM6aPfvSj0xOe8ITpuuuumx760IdOr33ta2c9I1V5UhB6jamzJ8WbJdr15kmhHOwkhAfVvnEALbaqQ7jbN3YDuq22I5QsJqZkuSbPTYVYf8/xqLY9EXqK3gEvfzTEl+7r8e0mP18f4bVKpzaPjGuynk+VFe3q6HlQer96NqlMN34VyPT4rbxnNdrYk+qdMKFt03a6unp8u35M11ZHDJC2RQerI9jyFh5s29bbVvc73vGO0znnnLP2eNoa09lnn70GIZw8odtdccBsA5hWTgPLBjINLFuosnlG7Tqep7rhhhtObNDANnUcVNvKaICGdLuHr7dPqxMbL9QSTMrJCThPYJwzCNDl50wgzDzhONbO63a98APXvy1KlnkFUI3Ywta0u4/5d96TC/lwfm37YQAU8zjyX4/HiioeRpRo8lzdEUh8SgvSnFfb4raAw/jE/+nZLHzr85FOHnTsuWyVD+YxGVLuv+RJVnPN9W0ap1Wx4/ZMo55hBvrwhz+81uE7eXYfwn0NoCDQ8JTab14nYqsOwMWhv3ZUEp6RgmeFsB5ACjv+Wr38sC9v4Gh5naJXpQI+QEnBquCrgmDloCE+TDp4fjxJ8e2U3TYF33lEoyCVFGPyqhxpH6R6kpXfa08vPUJV/mSxJ+t90zqXjL0qT96pp7wno2yUR86vY+k2VDge1VjrPROVPKfk6S2ZSxU4HSWq5sFSvXKkQYrDfa1D2GNB+A/CpIDAXkjLg/WqRnh2quUBaKF8hBGxWxDn+6FODTOOCKwqZTcpqnvcJ1nbAG5dsztsStZopeh71nsqw3mh6EeX1vtGlMW2AGqUVMlrerRu11c9Wav+c3xwmo0E1JnK6ZGCSEonAB/5VHUngyHln9O2Hq3OYI9pdB4s1TVHGqT4hYbwTHDEEYMTbyFH6Iu3jeN/nN2HHX9Q5gCilh+gBXDkY5U4n76TSoVWFUSlPEBuLYaVtm7nZW+NgVq37rpJeljeFF+bA1wOiDW/Ws6VUpmjlKr2nErr14Gqtrl3v6a3wb/2pT5/l8ZL+a7GpAKk6n/l0XlOS73Hw8i3ZFxPN40YbJu04UiDFM7gQ5gOkwPn7cHz4cNjG7FwQnkDmBiocEwS1qGQbiHGRvDa+O2+2HSBdSLdjq8hEBBPYj2+Bdc55s7gq+tTWg8/HInyeeMHJi73jZv8rh1zKFnRDmicV+WA2d2ryqey4Oa243QBVKo/WfX6O4F/KlvJeWsJmNRT5TB0BY5ubdAZFgmElJd0r5P3JXSY4JEMq6METM4YWeJNHWmQYmXbCN5NIwCMvl/KTTp8kJff8ouwXvuNdCsboUH2nhiYehZjpRAqBZIsU66X8yO8B+I0h/5cnY5Pp6z4+giNCnXlyfQ8r22GWOaA0bYUSU8+kuU9wvNcL6qS155BA0CoPCl3T/Xb/acGnStDQW4uQG0bJNTTd+le3dW4bJPmRhWSDlvC15EGKYASvCh4FgjDwYrj9SaeJPpcBBR9y4987X/sUMIW9EZ8ZBIOsOUt7bpW1ZvIThHooOvuJf12npsqB7Vy+TfzopNflZ9OoDkC2JuUqoS5LQmg50ze9OE8o/yOKPql4aQlntpSkF4KHL1xd/2qModr7OEsPUev8rTSeJ8pxPMoeayrU8z3CDhV+dK9c9pxpEEKAMXrP/BoONyHB3zhLakib8TKvuWHF4YNGLwWxetTWJNq5eONv+0eHLfUKG29TZPNWSQKUu5VCLwmpfXxZgne6QfFMLId23mCldWrynxUsVX9wL8rkHL8cDuS0kp8zQGqbSkV15ea3kRR4DuVXfWFpnmMeV2U62BwSgCjctkDGDa2QC4y4Mqr2ni6KQEt6DD5HpG1lP8w6EiDlFpfWGNBmnf3uYmRJiQUPk84eFSNAGC4xmkFjxRK03or61C9B/ed2oXfar2mtJ7yXlHP89G8CbQSr47cWCaFN3LN/a/5ep5TT5lvqlA2BfjROlK9yXseMUY4f8/LSwZRRZXxsGnZlfFxWDRSx2rm+M/hO82rbQCRMy52HqQa8QGRreE4xRzCCM8IJ1HwRoO0dqTXeMMB6sIzVO27PUTc0jiiCRsx2genVfBRTVhD40mtFuloCMt5O6rQ3ATl8tTy1R2CLu3q4/8czZ3kCgq9cUplpI/zHrdBqT+W1pEU8WFbsKhjDlBU5VT3j3hPTtYcQG6jXyrQ3hY5UJ0TFVBa0vYRUFoCeJUOmktHGqTQeD29WI9IwvoRbzUHYLlQmTvFANcAMAgn4uHeBo4AqVZuS7dPuw8PAwPoWNjx7R5ABA/6O1l4bhKnCa5l68kcVdmc1l2D7r65ipevO57dZ4RfKEH+TvW4vt8UmA7LEj8VYNWjuSCRDDSVqyS7rqz0m6+PUMX/YQIVfi+lgwWhOQdGczyoEeDsjd9Og1QjJ+QQcChPvG4DAsHvnFKFqAPEYT9O844+/WDdCmFAt1ZUTaK5k931hV4bFZYlll0VFurdM7e9c6nX9tH+0PRo3aP1jJalSnJbfbdE3ka9vNFyk2Gz1ApnIHTk/qv4TmOwKY2UdbDB+PaiMr0xq8KpzuCew8/IPUcapHhDQiOE47SDGYB47QiA1q7j0Fl4WM5KhzfW8vGr5hHuwzl+LbyIs/uwA5DXy8BTCjNVSoiBGPyltwYnT6J3LBLq5XJQVxJOlK3tSBPaAdSmSqDymNhw0X6olFgyKjax1DehCuQTX1U5o3krYygBnM4hFwVIdc2xvlOZIx5RT4G7ezR9Kmi1BUMkAdNcw6IH/r26+bk57JbeWZBST6gRvymXgYlDUgj3cR4eKHeAKQj18BZ0XpO67W1vuwaulgZI4WFfDUvimitfrRfmlScwA0N1HFP6VH2b0swLl888aLsSKSBXbU7tcn3igJlBa277ewrC8X6Y5MrfBKxG7h0Fj54y7PGjYzy3HtznDAt33bV7xIs61UC1lJIsV2mlJNdz5Z316+g9OwNSjlix8VoQQnA8IVTxunoUyFp+DuvhZAtOtzxIw0vjMKCrf8Ta5Ht6ZwU6Ba55tb09yy3lcZ7fpuQmhgPJCpi1nBHlp2MxImuVh3NYCk0VxVylwWVwW7h8V6eWMae+0XrmlNczrFJ66X2aPmxazTBAeh7iNvqtSvfmFOu+nQYpfcEhCIq7siJYsfOzRu1e3fWHTkXZ2C2Ih4mbJ4WXI2KTBLyklsZEwNoYvzCRX02gStQpS+cxcvs4jwOpyhLW+pJ1lSZJL09PKCthV6B1+Ri09SWUuhDfa3uj6iBbx7saRSPt0vp7lO5XkKm8oXRv777kSc313kZ4mkPOUOrlmVPWUfOcHFVzdo5RNuJFqzywLoH+w5o+jpjbWZBKZ9XhW59RUgXEwJS8G+5odCyACg8Ntx197buF+gBSClaNcPAtdh+2MvmVIqOvDEieUM+T0DxOIBWgElDxb/YAXdrxntqmed146n/62609uf5w7ak+7p7Er1qKSdGNgH/qo5E+1PrdPUrKRyWTc6gH8nPLSvJb3TMK5u6+o0oHRbhv5Hqj5H06mdRyoDsBUtCdo89jHmmQUtfRgYtSpeBHytA6sQkDgIkDattA4Iiklsa5f+0av4eqXeNvKNbEp7bDtcGlq/vmWkaOD6eEtzm5R0Kc/F86VqdqJ74rkNJ+UPBNk7fXj44Xbf9IGSNA5uqq7uuV40CtakMqs0dzPCTHE67P8fx6snymgtdqARi7e/F7hJwBxvOK9SS/qHWnQQoPzMJDaR9+UJZJLXI+Gbx3VphuH+fXcbT7WrgP4T+c7wcl2ryplh98tm/kbzsBcbQSQn8cqlJl63blJS8hKeW5nhR7RkzsOWwbiEAuZIt8ytMmL7XTjTJ6RiL3i7Zf62e+kU6vbHGUwJDHomd0zBkPN09GjJF0j+bj9utD40vk15GTzfQfrvXKHjG05ozlCG0b8FYdQ2mkviTj6V59NZCG+NqnRZ7cMs1OghS/gkMVOg+C62gGAVzXB22VWJHxobMAKIT98AFggR+8nLHxDG8K4ITnq9o9AC6+n/lUgJjrNXBfaPuc9wBB0/DpEqUyR0E0SsdKOeBiEB/ZZu/arK8AcX2hPOiYsDJ2x0yN9lOl5OYqmxFK/TMCsIkfp9gcMCYFmMrt9Q/yaJrLq9q+icfH948ClQP6wwIqZ4xov1RjkeREv/l4OIBU+26GOtb1dx6kuBNATlGPCLSSThrnaeA36ufTLNog4LDZ9s3vpmrEr7sHePEpGfzMF9KNqmd7NvVqKqu8V5+C1VJeWOHzhGEjwgFXBdI9oyOlR2XGWahOKWo6Kcw59Wh6k/FPykzLHTEynKftZGJ0rJi/TSiBUw+0ltQxqnecl5PyzeGtGs+lnlT6T+tlo0/DfHgrhTvoe+dACms96DAO9Tll16hnrYx4JAxM2GbO1jvApfGmIb7b3e52J97k28J98KTaLhd4YC2NnYEtL9ItL4cTwUuyQpVn19Z0zVlazqNw4NSro0e4R9ednGfjFGBlmYN315bkMY0Q59c1UuY/9XkCuh4fh2l1z6mP+zo9VF4ZFy49ym8F3HMN1J6xweSARWUoyZPOM23LNsZ11fF8tY09cEzkvKeW5hBfM9Shr5sOxPLHzoMUENqF7dyESIp6xOJzg6G7AlvHAywVsDjEB88K29aRxm5Afhswl8FbqeeEkZLwVUoTpN4LPpVFnPpvLrGxgd+Jh6X1L7XOXR8ko0iVVgVUo/y6ftlWny9VVupBuTGq5uBoPYnf0T5kGvF4R8voAZXe4+bQCDguoZE2uf4bASgFOudBwXvChrKmA/mFtMcm3IfO0t88QGpFKznF56we5QPAgV0rbTAQpmPAaoSTKgBsfMQSDqLFtVYXLA6EA93Zg0kBpvY6AEg0opz0u7pnGxNwrqWvdad7RxX+yIROlnRPUbg83Gfb9J4qHrjeufcyWPWAxHkPI8DVG0sHQImWgBOXucSTOmyDw9Hcunrz2I0nfjugAljhDRE7D1J8qoOGhnSXXyWomBC82I586kHo/bpzCV4HngdoaXhO2MXXgKjxh7AfQn8I6d1www0nrrXBbNdbmteyUJ7uHgMxr3rGIUjXtyrvyIGi3pPKSf2udY3SEou54kHbwOc/9hROSvM1t7uN8zqQ5/tGPN4ziRiYXF9W91W/Xf4ELg7ke3KzBJz4N3sRfM3lB/9qCFft2xZV4D/qSTFfeswR+qABEw5caDqwbSxr+qyF+9ryR9Nrx9KTYq9mZIujhihwLaWdsOnp6CykuA6PCmG/9sEOF2xTB0i1e+BR4T/kxzXdFo90Uq4KsBpaGJkIlXC7/3pKaan1yvxXZc/5L/VDsjwdOFUTGt8VyGu9h21Vj9DoWFb3btKOXp+OeCQjAMXlzuVT51jypkZp6ZzYBo3W5zxmZ8Dz7j4O+UGX7TxIqfWSvJ5eaIWtGX0uCUDH1gILoFpC7L3wyep4bofX0ABYvA7VvCsGqQZayNc2VLRrGHCEDNNg9yaK9k81KdJkr4BL69G01unq73kyWo7z5kbCGVq3U3jKa+Ir8adyyet9js85Vu5hK7NNy1/i/fbGLRldIwo+GSrud/J0eqTzbs58Oyq0Gjj0gN/jhy3o7TNKOwFS+s4nBopGDDZponOIT0OF/C4p55Uw8YOgXAbSDID88C929zWQam4xXgECoGrlYTMFwobw0Dj011OYFaCNWrxzAGDUqux5Yskj1DKSB+x4Te2oAJ3TPevZ8ZvAjWXDtWFXFNq2y0tyq/3mPCyQM2bnAtOoQcg8KX8q99v0pA8WeMKgkfrVeIde5mejEPJreq2F/LAze6dBCsQDXaWV1E1VEGnEYcOkkBw/Dix0EsC74uekWn0I8eFcwPZfG2Q8pY2QIoNypbyZL+2zOVR5USP1uXTvPr5WAVVPmfOEnwPCWqamdfG3apvKJBs+js+Kp9NB2/SEtkWVBzXqTbm+7hk7o4aMpvlaBaQj/FdUGaNzyPGV8rh5U+30G23bkQapZCErQIwoJQ69sCfFigXeWiNdE1IwYgXmTjFgQAQ48ckT2HTRNkzgZIoGWC1f87Z661PcNje51HJPfbmUnFfB/cZ5RsBuBKTY6NDndDaZ8JUC5BAze/TOQHJGgoJn8qrOZKoU4qjXvQn1FPzcsU8gxeVXBtum7XSe3mqGDDuArIzqilL7R4gBSregQ78dC5AabWiyTnGNPSd4OKposK+fAcil9RofqIi3+7Kw4Cgk7PgDKGEtql1refAixZb3xhtvPLFlHRsw9GgoLt8JKa+FHIYCccDi1tBGrN0eSHF7tF2VdzWHkgJs5DwqbjNf47Igwxg3fjFm78zB00UJdB2pUj8s0EqepxsrNhSr8nqGW5ItNlyUlx7fPWA6GPAOtZ2c1rlTjZvqxkoeGbRZ7nXbOUJ+7Y0Rx+I5qWTtJKu1JyQ8ALxDUAc3DbLbCp7cXi4TQoDnohCrheXR/sdWzqbE8CQ3eKwUN7etB9TbpOT99PgcKUuBThXS3PI3tdzVExppg8ouZEflTtt4lIDKeRsONJbQaH9s4k25b5COf6+uqv4EQiNpJh0LBxr6n95Xzac5POh85Q8fkXQsQKo6vZzz4btn8bFHxYoHYOIAi70nVaC8JR5laX492Bavo8c7qtpg4tX0SLc88LiqE9RdG7VPRsj128hkGS17VODn8NED4TRR51i8I6STVYkBCnLWfvPp/gyE2+BpSRu4LS7N38yjA/KlvCvAzQErd09S0JxOXnjigefzCJj36CBsrnDtcOPDOqcyuLltqg/ZkEp9wry0D4MRPCl4U+0zOnZHGqQ0xNU7DbwCKAYg/V2tp7Dice9JaWXxyxJxL1xhWBPgHYKAN/q28B4e6G0hvpZu11oaRykxSOnp6eCB+XFpRyOTaS7AVJOD+aru702sykhxdbNh4fhz3rb+V3lQKB8bXrQNLKu6U5PDgD0j7LAoWejab5ovjckm/I96JKP/V2DTK7NXXmUE9UBLQW7E08G1pJsSYLmyOcTHb7lO84LrZ29Jj0LC7j7sXN55kEoeVLKe3aD3hJTzsGeSBAuDNLKu4AAQg9vyIp6LEJ+G+7BTBkDHQukUobYp0ajV11PQp4o2BeHkHXC+UXnqkYIt9yE8bhA/QqFjyTJbGV+bUqVoXZvc/xXN7cPKo5jjoY3M+zm0hIde/pG2HQyOD75ZR/E1tEGBj+V01GhVI4ZBS0N+Ow9S/KLBRnrQrAMFpp4L3RMK/MZgsAWMezkEiGed3DNUGFxYHy1Psz6wo6+F+tqzBQ2UWriveVI4nBYH06I87Bbkd1EpUG4yMedMSB0H7R8tk3/z5ElHCnEdI560TiCMSwJ35ht1oR5tn7OglTiPygHLERtGvE41Mp46PocFVgq42n6uX408pd5cdfxw2UtBokdzgSyBX6Xkt23kHZgwH4ChUZJ3lenRNvMccofJapiv6bRjE+5jV5QVVSM3gZ2l4GhEAbjJyuE+3M/KENvL+d1Q4AX58OAbXqLYwAmnpd/+9rdf/9fSDagQ5sP5fwpSCB3yjrG5QNXzUpxSSCEEtDX9r5Ssc+chqvJmIAFxeIrHSsNwPRBM9fQ8SwUofXQA8oJyFaRwneUnyXvq000UeAKiCqhY5nhd1gGM6yt3vde2bQNVxY+rZ4Q/Z6xsA6wOzIaFlFZe1LhTDz61UUFKQ3wAJoT68D1KRxqkktXcU8RzhKEqS60mFg5WIG6NobJWdNBxhJKG/vh6I4T+2v1Y23D9UvVNNcFcv/UAP/XVaL3oj97ET7KA+zldTWDn4WDC8mYaLXu0HypKyqsRP1DOz2Mxnz2qQGEpvyPXR7yR0bIqz2mpR7V03HoyXd23LdlZzQjDadoZZL26Kp3V28nH19Imop0DqWTZNtLOrMBq1KtySp4HWsN96knhYV223hvpN/LDq2rpZn3gKJHmQbXNEzgiqdWDh3oBZPC48F+1uYT7R/vQpatdg+5az8PgfNVkqiZVBVA8gdDv/BZl9qoYBLhPeNckGyE81gkYcb16nCG1VQFSowc8rvo8SxqrpUClAMBlbcMLUHJljhpEzGdVdtIBvd9cT0pXxmB1fZRWM+93csdlsUzhg8iPm18oj9fG4T01PYUNEuxFtQ88q2P1MG8V4tP0yIBVA6dgyPf3QEoVI6eRDxMeihTvXeHQHx7iTSDFL1TkB4VZ2SbAQh60h9M86bn91WTpjYO77oBKt/anSabloH8bIVberuG5MxgD+uwa2sh9oh4x76JMQIV+VvBhEOKHxLld+uwU0thYw+PDIV3wB+L5sZTUa9imB+mompsjvFRAVRkI1bemEzApgKf8rqwlfbna0hgkoFID182vNp8UpDS8x4DV8kB2dx6kVDiQ5jxKSeicgPfqZHLb2JFPlZumFfhGQn/tHsR/GyHd8rLl34hDRKx4FXRVofGEAz/cRtdvqd83ITepXb3cb8qvhvgATLqo7MA4gUziKbWB+5XHPnkkzvPiNK/zaB5V1FV/jfZ7+k+VclLmc+vZhgIeud8BUw+kUtuZd+TrGXIjuucwyIGrM7qSAcjzSsN76cNz8FiAFH87SpM+pdNk03LcwrwDHVZ6vHsLxyNhjan9j7UltaYbYacfPCXs6kMeHI/U8rQy25l/OE4JnhQsb3blwSc8AmzEaGnUg7zOMlRwdWMxqhR7Y1Xdl4AU3mX7ZhDnd9rwNn7mWZ/DU74YJNKalYIRezoASZYT98yWypCG+FAmxlP7fVNPKilh/Md8qbKtlKDLp+PK9Y+0Qfs/UaUDGrmNNM4wcW3UtWj858bB9W0P1BpVY5EMdyebIPWaeGcwyxXazoDTvCIcQIBdyE1ftY1e7dP+b9faf3jxIZ793HmQmjvx1ApyFvGIwKQJB4XD+VjpsMWO9SkoQ1a0/EAw7m8KtQ02gxTv6Gtp3hnY8jJIIS/Wpxiw8OJFCCfChKxEWck6byCNxVLFmJTH6L28W5KBqfWLAhY/s8FthOJHH7DHgjrYU01gzeXhOsYe482KWHd7cfshU06BVPVuSgmoOCqgXp0Da+bL8Yv2qlJMc1DTI5Q8JB1bpyOS4cRyo7LSA2XuW9d2ptROvjeBFI+V+98Bk26+aqTGn65DNTBq19p3+/DuvpbGGx1glO88SDlyk6lnOXEevS8JKZObvGz18toBFB+2ikNw+LcDSygBVqq6zgKQ0rUkPuuP11Pwjbz4xgf88NPm4MP1p/ZJzyrUe9P4VBasu1937vU+SZFXCn5EMaY8GkZ0ade+00nq0Wi6MlJGLPqqbM3rfqc0l53a48h5UJVRyyCh4OoA2PFStb1HKb8DSQWq9GFSENdXb+ibdwFE+Ogu2tG2HXmQ6lkenA/fqsjcWoR6SCpALEjOo4JVgnvVM8GiPcJ9jTCQ+NYycb1ZI7xojuevGkA1SwYnp/MLEvkFi0jjf7xssV3HM1jKL6jyFhi8krXsrFf0v46PjhuTs0RB6EP0GTafwOLTcB9vh2UL0lnKGhZJE9rxyvlY9nRtDP/1nt+qAO4wyY0r91caq15/VUq2SidZS2UkHisjVcOxOias/FmWoDf09T+jQMWkMpDKYF7cmDi5Bo8s56r/OMQHXdN+t1BeC+u1+XTuuedO55xzzvr/9n322Wef8Kpafsy7Y3PiBMhZM9Ug9z6N3GTiuHsCNPzGN9aLMPAQYN6lBQ8K11AXeMY3CwgLFcAOu2sAUgjtMUjhGr8CpF3jZ7BQHurgsCBbi6oc3MaPNCbOQEiWqiPte76HJ5OG+9yalE5+Dtdwffpx65LMs8pEUiBp7RL3YexT3+I7KaJtUuU1cB5VxCorFainsiuwqsrrtQHpih8FKzVyUS5HT5g3nh+qP5S3Hi+rToRC5yQMTTWykzzrXGaAxvxBCI/Xodp/DFgAJhiHeI8U76TdeZByk5IHwgngCEAhHwaYAYOBimPwXB/zoUIAQGqkaVbauB//qzfCljd7Dbo2AGED0OAab5Ro3wxOUIj6LJd6O9y33Ifa7wwinN+VrRsHKoWv6VEjxPGiRgeXnSZx4qNSmElGVJmwsmPFqP3qPlrXHAW+iaKv8jkg0d/VHE73bdI2raen/JVUPtOc0HRqTzI0Dow+6/HojEhXZ5IfnafQL9hkhKUFfjU80gAjDvu5B3iPBUih0dzhTmgaMQCwkneKEuVx+e55IR1otaAYeJQ3Xuvh9SVeO+KNFixksGh00V6fjcKaE+/u4xBfC+vBo8KGDHh3DGK6MzApxaRYKmCCl6DjopTAwik/DffxA7wcWlNv1dWD9rtPqn+EdFce2s4GEKfdc1wqe27X32EDFSv2ZDS671Te3PqXkjMW2Htw4KIbQzgf6w4GER4TvSeRM6IaabnJgOM0rz0l0HNjw4YqnyXKu/iax9TSLaTXQnstjXBfu6d9Iw88KTZ8R2le7mma3vCGN0xf//VfP11wwQXrxr761a8+6f/W0Oc85znTXe5yl3WDLrrooumqq646Kc+HPvSh6eKLL1434g53uMP0+Mc/frrhhhumJZSsFWc1p7CSLugxQLi0+61WlSo6rAVhJx22kKcP7+DTsBJ7UGy9YCsoPthdox/Ow7tu2CXHN1tP2mZtv9uswM9H8Fs60+GT4EE/zjJTC03HJo3RyOKtjqF+EmBW5KxX3mnJcoKx17QzGtwa2amk1Bdz1u24LC6zl0/TS3lXnkf6tdI1TtZ67UhlMyVdx8RA5gyXJMtcB4xH3hiBx2DwcG4L7fGnARK2mkO3YE7zOtSoB7UYpD760Y9O973vfacXv/jF9v8f/dEfnV74whdOL33pS6c3velNa6Yf/vCHr612UAOov/iLv5he97rXTa95zWvWwPeEJzxhLivd8I3mS/dUoOUUbvqtylrJCQgrHlZEvMGBFZMTKAUDBgQGBr3GH/fAnVP0c4GJ+VG+GHj4o8BU8TgHdPBdKc70v1NmPOmdcu3JWapX5cPJigJWtaHjsD2q1M96bYScN5byjczpOXwv+cxphwOcpKf0voOivak92jZtp+MZ80nDevw+KP04YxfAxIakGvFpDXvjcN/Xfu3Xrj+pY17wghdMz3rWs6ZHPvKR62u//Mu/PJ133nlrj+uxj33s9Jd/+ZfTa1/72uktb3nL9IAHPGCd50UvetH0dV/3ddOP//iPrz20UdL1C3ZpU/gBg4D7db0JaZQHF5/DfKhXXe4GLMgDhQFCXt09pmtAeLAXipi3peviOa5x2zlcBx6asECZYYMEHqRD+QBGhAfbNTwzhTReM8JCphPFKWgGMA7D9Y4lYgDg9jCAo2/523m1+J/zcjhWx636sMHg6nRxd/yvE1MVCMLKLF/qCfZAznkEPDaj5MZ1hJYCYQKoHlhtCzhdPp6zSb/o3OT5qADF46f1cNqB0mpgh6L+xjXM8Yof1jMIzWFnHkJ8COs1r6mF9ppuaWm+3hyTdi/O6cPyBOsqfkzmlK5Jve9975uuvvrqdYgP1BryoAc9aLryyivXINW+W4gPANWo5W8NaZ7XN37jN35WuW3NpH1A119//Ym0ExoFKM7rrBq9zmClwtkmPNaNVLFhHYHL1InBlq4+jAsC0KBeBkZnjSE/8wwlBz4BeNwWgKpug0d5AEpON2KlmSx0VtjsjfEDtJwGYPG9Gs9ncEA+F3NXUtlw1mRlJbv/kuJXY0llza1rVEpUZbCyoHse1Kg3lebOYXphcwFqBJwcab+m/ysjDHNd52gCn/TfSFsOwoaZpe1WnvgagxQvJfBZfO2DnXs4SxTpdh/yYK6756NGPNFDA6kGUI2a58TUfuO/9n3nO9/5ZCZufvPpjne844k8Spdffvn03Oc+97OuO2FmoXFUKbNqoqhAslWgmymcsnH1Ii+H9RrxoaUQHgBEpaSSNc+LuigLYMvXEjApSOF+lKFgxQLfPnyQLk515xPeE0gpKOE/3qmYrEn+H4DCXivvrHSTZ2QiqdLXye+UiwMP5tdZ7NqepLgUkCp5TJTmFLdv25QMx/RfxauS6xP85v5O9+m9bq4n44J5742d3jO3v1aDD87rh0Pm/JwmduthnRunSWCrOb+EFccdIT+8JrfdnPk7tHDf6aDLLrtsuvTSS0/ypC688MJyoHoDlv5TQXK7dlj5ceezdwFl2kgVLYQdng1bMOytIPQHpQ5F7jZrgHcNX4JHtv6QB94bPzPEaawLcbiPvTYOw3Gfoi3ggT0mPFiLWLeGAbmPeM0F+fS0b3iDOra6U0v7RRUDxi2t/SXZSR4Kyw8bDCwrHMpkg0frUeCrgMTxtMSDqgBgU6DS8lzbet8uv1PwDPLJCHFeMRsL3Mc630EpxMueM/LwXBzpHybWa9oXqvf4f14aYWDiTUbYUg4QAjDh4dwGSp/zOZ+zvt529LUoWcuPjROtDGx84rVpJvQ35P6Ug9T555+//r7mmmvWu/tA7ff97ne/E3muvfbak+5rzLYdf7hfCQtxjlSAVFEkK6myovh+N1lZ8bBXgesQYLWKlQe2zDhMyEcosXJWZat8sbLlScDfOlH0w96T87DQZgCselLgg0N8sNA4xMcP2bpdP2oM8BoU9zO3WduKe3kdStNqlFQK3SlrVWyqJLR8vQ/joNe1fm2XAyf9vQ2A4muqpJfQCBBWgKz/VXl1fJLlXhm2PE/d+jR/EvhWbdL/3L2NHPgorzpGfJ3T/GGg0k1NvGGCd/Zp6A8bJgB0MHJ5TjvDYFSGtgpS97jHPdZAc8UVV5wApeb1tLWmJz7xievfD37wg6frrrtuetvb3jbd//73X197/etfv2a6rV1tk6oJ3LM4dcB1UrDXxIraWcMMQk6gdfD4fl3nUkHVzR+cLwkk7uuF9dh7cxsn2CPg/mWQUmDCgiwfV8Qg5ZQxb5ZAnUn5u2/2vNy6IVu8aQIla98pNtfvbmwYKPmgWO5fbVtSZD1ZX0o9hbjNOhLoJHByRkAyJHiseI7qvOT7OK2gp0ZZAiFeX+7tvEz9cWDCgyqzzlBz+gr3sQGJ+cgP5OKkCD7VHB4Tr0O1/LwOBYDj+rXtvAnpUECqPc/013/91ydtlnjHO96xXlO6293uNj3taU+bnve85033vOc916D17Gc/e71j71GPetQ6/73vfe/pa77ma6bv+I7vWG9TbzvJnvzkJ683VczZ2ecogU7KC0qKRwWeXXoOxUHhMHDBlcWgpNAf52GeK3BipctlqTJknplP1AkAwg5AgBGOVsKzXLqbjT0Z9nC4PzWMwLFuDvchL4CRJy52GXLYjyeZA3vuX7VyGVi5PxnonfKolKK2Wz8MwKxYuD91mzn/55RikuPDpATG267fKXsXqmLwr8bEAQL6ugdeLF9OplSHOH60j9h7x/xJQJXadRB4cn3p+o03M7DRiBBfm6MI8bVrbaMbXr2BdAOrlkc3S2Decx9q9IIfszkUkHrrW986fdVXfdWJ31gruuSSS6Zf/MVfnJ7xjGesn6Vqzz01j+mhD33oest5awTo5S9/+RqYHvawh60b9JjHPGb9bNW2KFlEquz5f1Zmet0JiU4mgIrGoFUxuonk+NC1JA4pOjBOgoy08sXXeuG+RqxsOY/W5UBKn93i61wvAzAmsPLoNkwk5cT900i3ZfOaot6bJj2nncXakxG+7gwNBaXK2HIg7b6V9x6wuHmgbeO2zwEqLduBUhrbZCxw32pdzCOHi9PYJQPVlTvKH+pk5c3XOXyoZYFc23pzwNWPvuL52Xt20T1czw/762HNzIvOsVPiSX3lV35lKZSNoR/4gR9YfxI1r+sVr3jFtC1Kk1wnuAomlJ8qjkZ6HfdpmsNmqgy1TghWNTjsrajFxyEhtdTYKlQe8a1b5/m8Pn6jLzwffqiY2wYQ0rWiOZ4U7+7jCcRtZiBhMOPJlqzNCry1j/RhQx4HZzGrcnTgj7Su5aly4n5lw0Trr2Sc+WWFPBdAtP8qRb0JubLdPEl5R5Qzl8VzWvuT63E7QrU8B4wasnZRATa4IG+ok09IV74OilBmNT4JJNtvNhR1swTWoPAeKH4nFG87h/fEZXDUho0C7t9TAlJnGunk1UnbG3yezBr2cUrQCU+aZFw+nyruJguXwcoL60AgDd/xRy00BbL2Pw6hRX4OQ/JLz3jXHLZuA5haGfySxB5IYSsqr0PpbkXUBZ5YqPEcF3hVb88BFfevLnRzf7AHrGXwZHJAxbLC7WDQY+WVwooMWC7cp3LN92tIBXw72TwTgcqBRQVQIJ2T+uF68K3rUKleEIfbUz3sjfAGBG4bxhVyjbcO6PW0FnpQrFFVeoll1EVLsBsPIIW1p3at7dwDMLU0QnxtVx9vR0fontvMsunWovior2MBUiNgpRM83Z8+IGeZVkIDIXHu/Wib3Metu/A9ybpUnjSUxsLbyKVhiXG9Ork4fIcJXIX4eDJxm1KMP33SGLm+YoBiIOd0AgjOo307yifzyjyhL5Rn/a1GiePJpdMccHJdyZPLW5Wf6kzgNJeHirdkQCbDVa+7dPqwx+L6ozI+MKbK/4EBnQRYCVATSLkj0txLC92xajyXef6mdle6dadBqmpspWjcwLIAwWtgZckCjvu1LFb8GgbUCZLCScq/hoH05OykBJkvTvOk53dE8bEpfBwTvCd4Ye2oJOdJ9Z6T0m3n+gCv9g9vlmBPStOon8NpyhP3pfYPh9oUpNwY4T5WRtxmbpvzpFQmVXac4eGA1o0nAx7fP5cSgBwGoXzHJ+ZSmicM6Bx6HQVWBwLah1yXU/aQa04zmDRijwlehPOkEkgdSIiRAcsZc3ov52GAgSeF551SuA87/vCwLj9DycYsn2rD80c3Tbhlgp0EqTSZHTCp0mrkFCTHinmhM1kwPCD8H8eluQ4GBbac2EJmYuXJwOSEk2PkXBaDLNoBIQUAYQ0KaVwHWEMwE0gpEDMvvJsIgs2eFPcTnyGYQAqvKWnXwQf6h8OXOubKJ3suCvoqU3yvM1Kc98gKQUFNrWlVtFq+A6l0SokDLU2PUCrnVAEUyCkzNRB5jjtDMhmCCkw6n7k8BSb2MPgbO+YYSDj0pSDFYXYHUmfRPFeDR9MOpBopSOEeBilek8IbdRHWQxqv6uCHdp2BpfNMAeq0nd13qmlkAro8Lq+uT7BySpaclseWLX7zdU1rOZX1x8qnAuPUPi1bLTEO6wEQMOmwsUKPKeL1NuVRF5VTuE/Hhg0C9jzYgtXy+aMekfax9inznfq915fcn+m75/mkMVIjR+/T69umir/DqMMRtzF5lTqHqvF2Zbu6qvnrZFDlnI1VBimVAwbZOSB1M0knXhtpGeC5F9JLbx9IoKj9rWPl9NZOgxSop2BSxzjB5kFVBYl0UgxcHhRTmkjKm1s05XJdHp1cKpBIcx72pBCOVI8JIAWXvl1vB/w266ml8c4rWIX8rIcCtptYqry5je0an3iOa42Xlm73w+sB/+0bi7DgHYDFGzGUP60bdbmxdQCjCovX7HhTCHuMqC89vNubxNV1l2+OMtgGOe9vlFwbWnm6pquAxXmS4lTwGjFQnCflwnw4jQG/m7fBmyi4PRh73kjlvH/QWWKYsRekG3QSWKhRzEYdhynhJWGThJ4sgV18uh6lY8YbjtLrZQ71OakzjZLSnovgaj25jQV6PU0K/a+y/DQE5fKxpaU8ok62uMAjFDVbWaowefdeqwMgBTBCiK+BFL/1t31YCBPQqiJ3YVMOfXEbeH2Qw1oAKYRJGKT4f95JxJOnUvK8EzApO04zAPM6lJ6zqLKoYV41RJLVz/yqPFdyfiqBSvmdU7eTe+5zLRf5e+syiR+de1xHigooQPFJ4XgAFvnw/BATy6GClBpRB+L5cLgcgJVAStupfYUywCsDLT/Yq+tQvBnKyaQDqPQSz50HqSRYSI/ey/fxf2nSqwJQINLr1aRJgpX4d7xwqJJBlNPaT0yYfCgXIIV1KZ5UbOkpaLJ3oOVXikTbpetmSLPnxF4g6mSrVde7MA5aX29MnHXKVr0Lv/BCMrc5LRTPMaT4W+/Vdul9h0WVrOL/JTwwUGk5PLap/AokK8PRtUuNLfVInJfFxgqXlQwwp1cOAkg5Q6jyGhWk8K2hPBfiS+E97c8ln50HqUQMDvjN11UoGUg0L/7nAWall8JDTtiYL514zJvb5MFpjm0z/1ofFL6u8SAPAwCUPbaftnSznOAxte/mSbXr7RshOQ73aVgt8aWENqMM9VR59x7+xxpZ4xuWGa7hZY2w5hCaZK8v9fMIWKll7byn5LGqlcntR3/2NtOAXzUe3C6xShFUhtw2gC0ZjXPK1jng5lLvw/W7vnTz3Hky8IzwweYBvM4CabzCAhsMWGa0Hg3xaZvOkrUu9qT4lAcNu6FslnVXD4MrNnwgZInQH4f5FBC5fJ5jlfeE9LEJ9ylV3ouzQPm3KtRkbSnAsJVR8aUg58J9DkCZR9zjvARVpKjPKUz8p5MZ61IMUi3NIb72rSClaz9V2Mq1BxMIDy9zKJNBCm0HIAG4AFLgp4EUJguHJjn0lyxYHjP30c0fatmyUlLA1h2arEA0fNpT5txvvKmlZ6k6r1DHpfJC5pDzcpaUrXlV5nUdtmdsMG+98U9hPnzjteq8fRv5cKZdAhJXt3ppN5ez9ly4j+UNVK19OTDkUB4/5MvX+dlGZyzx7tweSB2LcJ8DBuepcH5NO6DSe3XiO4Bzdej1yrNIfKZ6+BoUN4SF0400DUWrfdlI108QVmOLnYUTxGtJ6hlWvCtxeFI3I2AS8CnLsCxRd0vrKRrghdfe0lqA9okqPgdS6kmxkaAykxb4k4z1QN7lnQNOaf5oOpVTXXdzUK8vAUE3T1O6apObn9oWF87T0J4L83HojPOn9mg/6lrnzT5TTxXu4/Iwd/nZLF5XZ0NXPTb9qJy6uc36gUFLDdZR2d5pkIKSYyXB3gtfT6QeCw+mWsYamkqTX69pmfh2C+rMkw4uFDMrYvCEdCMoaG4DTwbmndd+AA4Iq7U0PCmkeSKwRcVCqm3QftaQHteJtTHUCS+pXU8eE4f7cN/IQ5Tcv84CT+tQUCaan0N8jSeAKYdJ1asaDdupfDh50TZUcprGx/XJCM3Jm9qY8jjgcR/nvSTenFECYODwHUJgeLi1eUt4+JXDfcjDoMJlp/rVELq5eR8brjujiKMSkD8Ny6sXA0OQ6+Gt9CqjXA8/nNtkHHMPacxNzE/wciw8KSUdeKdkkvfliCcnA5absE4BVDyltG504PqSEtL/WaDYyoLix/98vFHPuscka/2A3XQKXjoRnPeVFCvyYJIw72oV8jNb2H3I6zm6DqUgpWE1Dv31vCq1cjntlA8rCrQZBoO7h/tDH9B18unSiXcN7zpF6cZHLedNaY6HU1HqE/Uqep6WS2u4DUDFp4ADlDjchy3bADSAlD6WwGvDIJYHBambiSelIIVyNHTOoTd9bAT9owYr795za1D6rXOMwYhDfAxmuka2syClE00FMXkuycJL96TycS1NKsdHjz9Op4mrdSIfAykrXvWo2MpXjyy1HdfYwkS9WEPi6z1rnNOoW9uE8Ii7j+uEwGPNCp4Xg1flSel6jps8LD/cBy6tRgZ7T2gT71BkMFYQmQNETvkyMLFydODI4+T6fFuU5CB5a1X9bn45coYq/9Y8ChJzPhr2051yLENc/whI3cw8MOzaxXIF+cP84LnmjFTtCzUmVSfphiA2AnVzD5c1KldHGqQacafq5GKrmIGB86YOcxMFeXhRXwfZKYEEjKqIHD/VxFWesR7DQgllDgUJ7wehBw1DsHfAfKo3xjxw33K8G4LJXoQL/Wnf6loal+PSPIE0reEzDXkoSLHXk0JtbAU7ZcdtYssS48F1MHByGn0JPnoTmseI+WJFxlv6XRhMx8f1p+uPUWWzFJzmAKWCPH8UsDk/+gR5GBjwMGu71l78h5Af0hruwzNG8KySJ+V0hoLUgRxjxGuwbkMUzw1n/OC67sR1fadywSDFssIeG4f4OPTHL089Vp5UI1WmTujdOpQDqRGgcmm3dqXXXHnKt+ZzCtDxrjwhLxQjCxU/D4U0+oif7XG8sJfEVhnXpfW7MXE8o1yuQz9OaSugO/Bz4MbApGtpHPrTtaqR8eQ68XZhti4xgbGpQ40G1O/GvpIfp4xZ2XE6yTYDk+tTvebaXvHZA6qR/KnsOf3iQp8MEgCl9pu3YQOINNyn13RnHNZ5tJ7Ek9tBetbgtnM1atTg4P5koxKkoUhnnHCZDFJu7UmBadTg2AmQchYsfieFwkLpPKJeXaC5k7Tiqcdraq/yzeWwlcIgDUu9Ea95QJE6qwr3siJT171qe2o/X0/t4Q+3I00cHQvHdyP1npJXVRkxqV722PB/u4Yt8lA2ACmssSEN/hi0NYyqfThikbMnpcYDg7D2L8uSzhmXTn3D45/Sel9VNrdf+0HTaf0wAQODFACIQYpPm+BXWzhwSaCo/HMbEt1ED+7zvW5uVmE2lSUdD9yXDCUul0N7bt1JAXIuHXmQSoOtFjkrb7XIk7VYEZebBM+FVnQtgPkGcLqYsQqOUzDMM5QeXHtMGng8OOMOFh7ywAIctdZSmnlRgOp5Bq7vk3LmNI9BNbm4DeiruWHANOnRD7wTESEP9C/ACRtQGuGZtHYNoZF2FJV7Bk1legSYkFY5VRB3/YDrqe0jxoL7rsZ+1NNCWxSMXKjMHVvFazu6QQFeEDZFtP9xInj7j0N/HOJr1zCveMdcD7DcvFiZEDl0AM9NJ9e8kWnEsOQ0gyB0iRouLCvOk+JdwM6T6+mBnQCpilSBsTVeKXi1KHGNSa0OJrY+NH5bWYWsyJ0nVSndSmmwJQ4esKsPExf1aviPFZ+2kRUyf88Zlzn/cR7XP8qrKgIl7i8X+sMkRJpDgs5aVcsSfcmygPIYiJDmUF/jnc8i5HudRareQQ+klHS9gQ0hlme0xwFV8pDAH8tl9f9IOskBe08uVMaAoWnMCw7xOZBCGg/q8oO9vFWdN0roXJoDUM6QSF61m5PJm0J+R5UO5Dr40ZO0OamS2VHaGZBS65Cvq9XJ+RNI8SAlQGJSi8RZOUgnsFKBVbe+Ai/mnevU+lKIDx4X/+Z1Kq2HvYrkSVUTwoFHNWGT16TKST1ATjsZUb4VpPQZMAUM13Z+gJiBkL0i3bYPYGrXAGDwdtkz477X/uCdgy7Ex32h7cc3txNtYEtajbAkc66f3RxTGa0AT2WmeiwA3+6Fm5oGSOk6FIMU/sPxRwj9aagvrftx31VA5Yyss0y6J88pQoDrGhVIc82NYQVSuqNPAQptUB15LECKSQdRJw1+a0iQ/0+KNqW1Xp5UGBA3wZRn8NUIVjcGnNOqqFxoADxweIDDeki3SYZQE09s/AZ/bk2IhTwJ5gg49UC4ZzU7RaVpVw9POp1k+jAkriOcgQmaJm27BiXW0lCO8KCakmvp9t1Ce+2eFjYCSPFDy9WL8SAz2ieN3MPaPIYpbMNAymkNPSZlxzKR5k5vrjmw4m9uszs6CEACbwk77XDuHtItP0AKso/1JqxJ4ToDFp6HwvNTutWc5zz3VZr3Ts4b9eaG028s05pOfe5I87H+YXmvwuUgBmA9EHpnQcpNikaV18TAgf90cqQwXTWYyoNeT9Yl8+csI1yvvIxUn6sXoIU0gxArQHhZav25NjjAcv3RAygHRK79boOAhnY0XVmi3FcJpPg0C/QNp1lOtFz8D7DiHXyY1O0efScW8o2AlAK3AyzkU3BB2WyEoA3O6MFvbXOSc5UTN8dUfh1A8ZhpW9WDAjDhw2/M5TP1AFitDH4lOqexWw+GBTwseFT8XBSH9rRN3E8Vpfl+UIAb93fPCHD5HDnjc87jHG7+69gdC5ByHaHKn//TfCo4bsJxeSpkboD1miry3uCwxcGCxNu+da3JtZfrBAjxw7y8ztKu6VqKPjDoJp5+u/5I3pBTngpk1cRMfZ/4UUB0IMX51JDhsBeXwcCRFACPEQAKIAQF2dLtG+DIz5ZoiFHbn4DcGQYMduwlMuhC4cJSRpqVE7ebDZRKWXL9DOKc1ralMWRvmbd688YFeDs4ogjggpMgsNFBvSqAFNIcBuSIA/qJn4Hi/nYGhZNZpWSMHgxuOqrm5oj+0rFCWxJIpZC/8q3G1LEAKVa6DoR6FokbMO5kB2Zq/VWAVlmEblMC86vA2UhDbjzJdb1AecN1KEoAHsJTHMdnkEK9ri+1zUpq2YNYiUIBVuCU6k5joOOaLHA1OjiUhfAop9FnCh64DgUPsIeV3dJQli1PU4zwzlqIj3dHwTLVdTAFhp5RoKQWMcp1Zx664216CskBNV9jZeesc82f2oaP7saD14SQXPvgHD0+Uw/HFQHQ2KviUCGASQ+J1fByMgRUBhNgjIDHyrwPbYR6oOZIDYvqsQ03nsqb83qhd44FSPG3Us+TwrdazKq8FABGBSQJnwIe6k5KXv+vvI2KD65frV/tB91BVIGUXnMAA0XfG7NUZq9tycNNE4bLV/DkkCcDFveFK58tQ+Thh6fdSR2QK348wK2DqSJ3CsEZCyrDuAdl8/qneoXq9YNn8MJjiz7i9nG/cZrvcyDGZSixccHrPxra4+eY+PkmgJgDKQ7x8YYKjihwKM8ZmSoXDpDcx7W5Aq1GPQNlJJ3IebrOWHIymepksHIh0Z0EKY3PO6tGLZCeglUlxB5MApQkZMynm8CsrBJPXC8rPKes1JKFl8khPeWLFbV6kByO0r6tPEDHv4Ig31cp+uQRs6ID78jP7eU0hzLVk2Vl6yanUyqu7bxhQZUM88Bg5HYRIo36KpCqAKvaao/f7D1hPQxp50mNhPuqDyu4UQBmmcC48Y46AFD78DNL7VkmhP04jVe88yGwHO5TYFLZ175mfpPyTnPVeY+VTlmFKIGTR01Xc9i1J40V0m7suWz1nnTNcOdBil1OVRIu3TpwxCNIgpKEyBH/D+uchQRKFQOuyll5cV4cp3nNQy1S/l/zc/tgJbsn83seSDUhuDy0lTc0cBuZFwdOWr/7IBzHQIs6cT1ZxDzGbqs597nyxAYFjz1CpqrUnQLrrdW4MpAeDdEgrMghPgATpzncx6fKq9LSfkuA5UJ8PZDS/maZ5K3fvB28hfWwIeLss88+8aZZpAFYDqRG33aroV5uD7dFDY1qDJOeWQ2EBB0w6dxleWcdw+SA1o1VCvGx8ei8XowbP8i+0yBVWRlO+Y24uciPsly655mp8DgeVSG7OvR3JYgsEAyKPT6Zj0YMptoniZf0v+OFf3NdKTw0QmiH8s3XGHjcmKgR4KzfyqJNgI02OwNJvWv0vxoWPZBSBa8KBvmgnBjAeBx0/LleHhNWVLq5R9ugoK9GCOqrQEr7Eh/eLIFQHe/kc6/VAHhhc0UDLN44wSDlZIJDnTz+3GYnP5XxUXmjyVPhdJI9ljmed9zvSkn+wWcvqoB7kyHJ43dsw30sQNwJqtiRr+qoSjGzF8SDnQAJaR50neAOGEDaFq3LATIrRw0FpnqYT+Xf9YW7zp9Wr3pMvF6jYM1epYv5K7/VZFALjr039nDS2oJT9qyoNF1ZlT1yY6q8KF8ainFpXtfSLfXwrPDsVvsf2+Q5jc0VPWuaZadStiN8c5u5fxSk4EnpZgkAU/OecBr5Oeecc+KBXN5E4U4qR53a3+hDyKq2k5V5FSpTwOL+qdKrIoKjhprm0XVVvi8BbAImHWPHB3u9Gurjh8x3HqSqcB93oq4RpLUnJgdser0SCpBaXLhPrcg02MwvX1cwglKGoufnX5K15tqO69XOyRGAUt6UT3ddP2lsEi9cL/osgZR6oW7cnPXrgCmNv8qk49HtElO54jpSKE/DegApBSZ9o7GmOcSHOeZeFqn9wn1QgVTqz6QQ1TjEN4NUAx4HUg2YONynIMWv02CDhuvnMClOr+drmp9DgNU2bZ2PvfTK6AnuH8i7GkfO+EU57M07uU8f9RzTHGRw4t2S8Hh3HqScYtfO1rQKvg5yRapAEii5/1KdaUK68hwg6LoWW0p8QkWvrb0+UJ5TO5VnVWA88dTjcsA24om4fnH95XjTvNpmfCdrkq39ik8HnmplJqBPIMWhN047JQX+keb+1rR6bTzu4FWVrVOeoyCFPmGjU5UgG4voKzyzxDv69Cw9PVOPQ4L8wC+DFPM9Mj+5zemj/6u8VOlV6Fe9lvQOp0d1XdW+HjkDM8n2sQMpJ9T834gHwP+PKEdn/VaCAjBhRdGzHhupa+w8FFZU2DDQ0no4amWVLSW9l9uGNrAy5D4E73M8KKU0ngkMFBhS6MEp2AS8zAuPm2sjW+1ui7P2hVN0HEJy3hOnW16cwI4QLF9HWXiOi492gieldWqfqBzotaTAnYehBkDypNB3fFwRb5zgHX3wnvCKd6xl4dkoXidhr45lS40F9Id6Ty7cp+1R2a1keyXGh+oZnVM9cEiGnZansqz6SfUqy6+e+sInghybNSknyKBkIatCYQXvyk9lu0FUBezAylnFHI5jnpwg8f9I67ZmpN2r1JM1mzyCOSDG7eL+VHBSTwZ94PqwV1eapApADqQUzFxZqCsBU7L2dfIrL7DiWxrKVid2WitzIJWASXf0IQ+H/njtSYEJMpPO7ksg1ZOhCrCquc39wic+8IsGsQVdd/q167wOhQfXse1cxwt8uHnNwJPAye0OdTLjDGhu+0GxASrpCTePRgALvPX0G+ss/b86qkrXpY4FSKVrLGTOY2BFqWWpVTGXevdr/dWnqgPf+HDIz63NaZ9oWnmryP3PPPXudfWOkBsvrVMtO1zT+kbi98qzpvGblQ2Dbg/QHLhWHh4Unio3VhpI45vLBT/cLxrSY2XEHn/7j9cpVfGOAhTn5/vSmgxTek6KQ3p8nh7nYUXJfZzG2/G59DPHkFb5WBURIr3mQKUHTDr2Wn/Kq/lG6nRl7TRIOWIhrwSQQQJpnrg9StaFU3YJTNlaZMtJrSi2TpxQsOLB5Ob1KHhSUDK942jcOoObtFXfOCWs5bGH5SZiT8G58UCa1364D3VNiPO4sqp+SG2GtYixhMfEfOgaoisrTWQ2RHg8+GFvTgOI+F5cY1nRUF5a9E8Pcaa+Sddcf/b62oVMOfSnp5Pz2X0cHlSFy/MWbWYPlM9TxG++zpsp2KPSslW+kp7gOXgzGstqaQDluciBhped7HN/K4C6tGuHC127z7EGqTTgyWIBabhHB6CnlLkcN6BaPwSO16eYX+VLlbgTeBZgFmy3fTqF/nQSJMBK4UHlySl8tt5VGY8AUwLJZM0lYHIhxsqwcUozGStqJKE+7c/UdyM8oW2qtHTxX8tVIw2y4tZQKllxHzd2aZxSP+v9TvZVCbLHhKOQ+FUd7i25vP7Ec7x962taEB5lkMKn2v1Yja+Os/aD6++bBk4/Qbv0nMHeuqfKTDIcGKRYrzlgdMA0Ck47AVLOCmdywMSdPKr4UvmqSFghqDJQQXAg5j5scTvlyHXrBFBBdtaX/s8WdgIJDWdVQqd8OsWr/ZsUVZqY2q/tm70NKCGOoTtvVflaClIMwmqIJKUPfvm+ZMXO+aTxcIaV9iPyKO8sj5XXnWjEk9DfKt+qEPmwWRfSS3ODAaq3KaL6VP2v/alGVA+kGqV57EBqyUcpybUbu9Qu/m8TOtIg5dYUHPHgqpWrCoDLbeQGUQch7VJR8El8uYmilh5b/ckDcIqHFbYqyJ4nlay2OWGeRM540G83KXt1otzUX269Z8S6mwNSUJQAGx1fVv4YGxzd1K65w0ydUcGhNz4iTNNpAwLKS+tnqrRRZw8UKzlIyk//75EqRO4z95p47j94R7gXx/OwzPPuxvZsFDypj3/84ye8JzwzhfI0ZJp4HvHote9XhVfF+VUvsVcFD3sk3Mf6ALLr0jpubBzwN1OlE3cOpNABlQXG15yiSJMlAQ/XjXJ0s4ICQxoUZ2mpklCL1lkv2g4tvyfkI4DFikrTTrHpOIwIZLIUK2WYQIrDiSk9ClIjCpgVJhtCbCjwRNZxY/nBvVC8mk9ByhkfaQy1n0ZAIQGWA69eH2lfjVjqiVJ56eFtEHvU+NZ+Q0hPQYof5uUdktVLKR2fGhLTvuB+vCk8SO6MRa3LrU/NCfepzKle0jrVCKzqOBYgpQvejbjT3KR0ebnD3L2pDFemDgYDD6dTHjf5K2WLfhjlSdOVEgcvPfBxoOHanvq16p9NyJWrhsDI/UhX9zmDCf0JZQLlwKDVvuH14Br3nSpxBamRNSTH+xxZrhQX81mtU3J5zkBwgJV4cTy7cpxiVA+AiUGfT37XTRHVs1DaT6n9Clg8/kwram8yCHRM1Rga+SjP6Zrr89Q+N248Ds7D3zmQggvrJmEPrXmig3Rg1ALjPG5wXFhHJ3CyONm6wz26E4stbH0QtBG794lH5+3pgr6zvpnvSgFqvyaAS9/Mbw9k3G9H2s88XtpP7r4kX8ov9zEUBBRfS0O5IQ0ruilBpLG2wpao8uhASg0b7n/lk/lVGVePz/XJyEd51XpVMev1CrCSweTaiDzop9SPjfSBaPakXBrHRmmIzwGpthFjrONdhcZWZqeljj3X62SS0w5kuI+qtANhN55MGgniI+12FqQw2MmyUNLr3NnsQSRrqLI2wU9aDGfAUV4U1FBuSru6nYXj+OfrLPwOXJm3tMbFE0StuqTktQ7uh5EJMkJVf/L/qW8T+FbyhTIw3mpcaP8BmJBm8FKQcm1IHlPiMSkt7osEGJsCVU9hclqVXAKpalzSXHf8ow8TSGnoj0N87E0leeC+ZzBSwNKt8TzOK9FV4FdlqqqX609AovdzWue9m8NalxsPzIdj4UnxQKuC1A5IyK//JUWrCjOVxbw5S11BwvHBgsfWBz9IyeVWFo1TVjxZE1Vtd3XhfwdkWl5FDjBcfdxXPePBKTxnRc6hBAIOjHlS8vl6jdj7YaOmBxL47oWAtN+4PIyTGmncFu3jUSOh13fVfAS58XHGiwMnfLsQpAIU8uipHRzu0y3mGupTWVf+XducQk9jcEBjpHqhV0dFc8ZhRIemOp3RcixACrt3VOgacSfw9aSgddBVWNQT0jwgnhy8c4uVCOetFAsrKlhc3G5YXwAvzeMUs+PV9YfLz6EIVQLaltT3TpkmK3wknXh37dgElJhUhhywMjAxEOiCOcaM02rxurq1/5Qf5slZ0bzrDWkGsXY/n1S/rb5y17mOUSNCAYplS0PT+FZgcg8t6zoUp+E96dmF2o4035wno2kNw60GHqx1vLj6Xd8lY9kRy1GSvUon6vexeOmhhvu4E9i6H7HkWchcPgcgSfmh/qR0XejPTWblyYEkX1el4qw05dcpe+4Dteb0unpRXI62Uet2xG2qeNF6XHu2BUqOenVrn3F/JcBCOoGUq6sH2A6gNLym65gsu9r/S/pI+6TKo/U4Re/udYaPejruNA3dLJHSvPbEAOf4SFEMnYtunro5e5M83K9et+unVK+Oxdyx1TnoxoV/O2NCDYidBymdVCqoGGQV7h5ocV5N6yRyA6QbMpBHw4DVRHOWk9bD6ZaP34dTLUKPKIt0vbK0tI8csI6QArADhZHfqd/mtNfdn8auKksVCvcNe15OWblyR0BaQYpDRdy/ukal4+h4cZtpNJ0UNa6r96Z5VF65XAUgXatJHpN6T3PTaVMQ86k0IveuPNVnTtmn9IiBoP3K/6WymNz9Sbcoj4cGUm94wxumH/uxH5ve9ra3TX/3d383vepVr5oe9ahHrf9rC4zPetazpt/93d+d3vve907nnnvudNFFF03Pf/7zpwsuuOBEGR/60IempzzlKdNv//Zvr4X0MY95zPTTP/3T62P15xCOPmGXXie9DoR2jhscF5/nhckkmA40eOLxfVqH1l9ZxLxjjENEGu5ji5nLSDw7Gp103NesbLk/VZmqssT1nvLH9VGgTfendGX19fKmyY4+YqCqrGfOU7WvMqIgEyiHPTbeXYgHiRGVULnCbxDPMVWgSaE6vhpxiCvtVOV+qEBKgWQpGDViMErPJjFVc6tnaLCxoDvgVmGTx0i/63glPZXmeCX7qV2pHJ1L6O9DAamPfvSj033ve9/p27/926dHP/rRJ/134403Tm9/+9unZz/72es8//AP/zA99alPnb7hG75heutb33oi38UXX7wGuNe97nVrYHvc4x43PeEJT5he8YpXzOJFrT+3W8kJ+YgXlZRNT2m7/5kvZyk7xefq5/zKi7uu4JD6pGqHq8f1T+8e5V+vuzam/nT1zhlPVyfnqXh0PI2CYzKAkvIYpUopMUhhjnA4ij1vvod5c32Aekc/SR7cODtZdmCtXpKG51KoDmtLCdwUDNzmiBGjbXQck05yQLYaWL/le6t6qrns7q1odE5wnx6aJ/W1X/u164+j5jk14GH6mZ/5menLvuzLpg984APT3e52t+kv//Ivp9e+9rXTW97ylukBD3jAOs+LXvSi6eu+7uumH//xHz/J4xohnkiqAJJyBs0ZHC6TBWLEKuHr8Mg47KKKQOtSfhKQ8MTmspInlZTiiAIdBS7OU4G8y89l9oyDRNXE52s6gVUBuP7VPCkMlHjgsjdtl5bVkyluQyPIIwMZy6d6Utp+Z+HjumsXe1IpKjDHk5oLRi7NijO1x5EanfxJY8f944w0l39VnAzj1uVdv7v0ElnrkcpXBbCnfU3qwx/+8JrhO9zhDuvfV1555ToNgGrUQoJNIN/0pjdN3/iN3zhcti4EM2GyOaWjYUH8z/emTnZpR8lrYB6q3XJ6Xflm5cKKRNOch/lCOn3rREsWNt/H7dS+qJTxKBCl+ipyYFSl+R6nhPm6fnSzTAVWKWyk+eb8B+LxYZnQLcwc+gMoOMCo5pgDaddXiT/mUZ8fcs/zLAEpBSwNAzpPKSnRNEeU1wqwwIMzxJyMrzoglQwk5r9nkFZp1/4qj5LOB4zHGbFxoh3G+MxnPnP6lm/5lumcc85ZX7v66qunO9/5ziczcfObT3e84x3X/zn6xCc+sf6Arr/++hNpZ4U4hegsTPx2wshlcAePDgzX6yyXBARuQnJagTaFj1x/VMDiQEy3w+oGFO6/iufUL9rPVT7Xjymd+o0NBTUakky4vuTrbu3NTb4KLFOeqg97Coj71ckalDR7UKmd+qDotkCqEZeta6pOeXPb2YNw4T4FKbdWNeKFpD7ugZIDKDe+zpty8rIaPABa0z3Z7qW53W5ezKEE/qcFpNpa0zd/8zevGXrJS16yUVmXX3759NznPvezrrvB6Sm4pKjd/bjGCo0XvnVXoSsT13TCwVJM4RXl1fGnv2Eds7JxD3FWE47T7O2ppdjzqpLCdWOUhL0as6otboL3JmSVR//jb5YBDeViTFTJ8PVUvxvf3nX+3yk9NXC4LAYLjK9bP3V8qKJ0ilN5qzZ3gB8X7uNy3O6+ypOq3qXm+rUy3DitbUjXuK/cxq7UzlUIKY94gAlsRtP8rfN0CVCpEXTaQAoA9f73v396/etff8KLanT++edP11577Un5myC1HX/tP0eXXXbZdOmll57kSV144YV2IjjAcAoYvyvrV8vjya1byRm0KoXrNnq40F9qUwIqp2TxrSdVjPQPeNVdWJzWSZkEvrJQNa+mRwyNythIE1itfZe/4r+noBmMeO2AZYTzON6rayOkfKsR5Iya9JyW9rkDbAdOTpbdXHTGTwVS4J9BCn3Mad5Eobv0HH8OgJgX1z+OVzcneNyTzKfxW4V+duNc6YtRgErjrmHfEaBaAkyHClIAqKuuumr6gz/4g+lOd7rTSf8/+MEPnq677rr1Fvb73//+62sNyNrAPehBD7Jltrdrto9Sb7ASqTJXy9PVo/9XdbhBSxZI+vA9XHfPalGw4utVH1RKnxUq7qva36t/FKySYdHjV/tiTlr5SO1yad1NyeUzMDDfjpc5k3lE2bl+YeDCvc6bZ15dHcnKHwEprrfXvz2QUmNAP7julHyvbx2QKkhVMul4H5kPFUilvu2lNyEdE5RdAdXcMd0KSN1www3TX//1X5/4/b73vW96xzvesV5Tustd7jL9m3/zb9bb0F/zmtesLResM7X/22ud733ve09f8zVfM33Hd3zH9NKXvnQNak9+8pOnxz72sbN39vFzDb0BdJPMTbikJHRi9ya1Kz8BlIY2uA6uuwLSVJ9rh5YxovTVggI/vU0ZS8gpyAqkRmmOYupd4zJTKKYRr/nwYrHb7jyynjOX38ro4Tr4g3sUUF35Sy38xN+IR+J4T16VrjdVfceyzM8Z9k4EqXhMoO76L11bDeSp6kj/9Qw35Z0jPs7IdwaIgho8d7e+vTWQas87fdVXfdWJ3wjDXXLJJdN//s//efqt3/qt9e/73e9+J93XvKqv/MqvXKdf/vKXr4HpYQ972ImHeV/4whfOZeXE6cSOklAysLgNCOletZRV+J1icDuiOC8POCaCKjfUV1lTFVUWVQJxBUeX5mdtnMWpfaL19K47JVUpA713dKL2eOiluTyn8JO1r+DFebisEVpqEDAwohyV557xNcfCd22qZCcZTjpPXR/2+lONRfdgsTvnkK+rgeb6t9c/yShJfbhtcjoAaTfnWF+qBzw6t3nZ4FBAqgHNEgXA1LyquQ/uproqRHZCOZKulFwCCL2eykiKcGRyOkr1uPalvnE8Mzhqmu9XpVbV2+uTStC3TU4J9BRyUkiu35wh5ABdy+M1oh5QbauvKnl1FnbKpzLhvqt5NQJSWv+oscakAOVAamRrfAKpkfnW659RkDrY4nwZmcsJjCuAcveO6LadOLsPR+g7RQ+qrPmUrzeRWAmxFcplwVquyk7KCfnYs6qsMle2y8/XHPCk/lLlxPW4xfdRq2pESJPhMMeQ0D5Mis0ZKyC3iJ/GVfvbeU+6A1A3UVTKd2S8Kr407e5NxkYC6mosKnK8OoCaIzdu3JJMAmxcWI9fTNjzpKqxB2EDk5MNJ5tLgelgwGifQ8447YFaxQ/vgt15kGrhvvaZE8dmBZRCf0hXikxDcTqJeAASL7x9OXkuPSsrKaG0zsHpEXIAwcDkdjki7Ugt4mrCKUAlK7rqBwdSmla+HB9JthJIaH+DD/zm0/vTVuKKRgBelZ9Tjq5ftAzXF0khjRoOvfzJk+I6qzmO7xEQdCDFb8zlV5nomZiuDh5XN691bEa2koNGDPC53lUyVipD0N3Xm8vMH+bAzoMUD7ITTFWETtmNpLk+kJbtBGwEDPh+p/iUZ5dW3lwZLt3jqcrv+tHx0aun4nvuRBkBdJfu8eH47oExSNcWeZJyOZXR4+qv+HRyyGC9pJ+1/MoIcTKh6arvXT29PtH6ewZq+oyefqGfyuCZAxyjRkqjOcCdaLRfN7lfZW0unzvjSbmHARtVD7Qm66VnTeqET5OQB8SF/phSWCIpYfcf11ktJHMeV48TeL3Ws6ArC9mVrRMuXXN96PpFP3y9ai+X2QtHOB61bDU+XOiP5alSTm4sHHEbkyfHzwyxvI7yUSniynCoxmLEUEhyM0fpzfWkOPTHu/sUoFKb1CBJNDL2Z3WeI0vzRPVa0iE9/rS9DPxuTm1i4O0ESOFNmmzxVJO56rhGurOuUWXl4R6doApSrOxcHNspuh45IdOwQdo9hjSfMuDa2bPUekBV8c1lzQUprjspiJEQn5aNsXMGQ2Wdp77S+7gNvDsqPVjs2p76Qfs4ARPSDJjgAeVpu924OKMl8aI8JcDieTMyZ92nGoskw701qQqktM911++cUHhqJ4jL0MdWRtZM01xBWoHGyXySDXe9mi/p/50Dqco6qygp1yTQnCcpETfRRi349HukDVwur3HxupHjAXlUKfXqS/2TKI2HE/RkrY2UPTIJR+SjUtLuXrUme2WOKFKtJwGD3qt9kfpHDatKsblxTwDlgCqBlHvwWetJ6d6nd/9oOSNlO77nzOOqnMRzox5/CSB684nlfi6oVuDkeDkWIMWveFZFwNZFozSAqhB5EvF9+N+lXeivUpQjk2pEIanAuQ0Sak273USj4K59mWgOsGgbmRcG2aR0KjDqGQla9xxlwDKmyrynxFzbqj6bqzC5vew9IULAO1O5rxU4VC50XqWjgxJPuptRvY0ki1xeqlOv633V/HJlzHkealvAo5uQlN+DsGaWeNR5orpB+7yaJ64NyFfJL+vlVMZOg1TrbJw4gYarB8HkhJg7MLnmPaWLMthCdYMD4p1xmk8nu3PjK15YEcwFqeQpzKFKaBPIq5fBW3WdobGJJ8Wkho0DRw7JpXQyepTS+Ll7tMw5MsFtZjDi13Kgn9Wz4X6qQMopTZ1fSix7XDdHANx4JYPB8ZHAMqXThggFgaqMitLYOpBKv88yZ2a6tLsfpMaf6glN69irjuJrOk6VLC+hIw1SPdRPpJ08Ijh6n+PFlVtZ9Zw3CYSrf6Rtahm70J+eoJGspETaD0sAinlWz2LEQNgEpFKZ6V42gNBf7Ek5ryrxO3IdfcFpp7ArSnJdpSs+nCJ3yjRRZSCpTKY5kOpUoHH95/pmCfiorCYZG9VN2ua5wHxQhFzBhwJV6mN374gOcvPXXe+Vs3Mg1bNa0yBznlQmTxyX3wkkBkeVfgIxN+HdQDrhdbynOrgt2i4HnKmN7n/tr97Ercpj3vX09qr/R0BKKRklrh95XJPV3lOOvb7UvD3AcH2Ca1yuM4LSmDFP/B+I5VRDYthZmxRl8qTS7tM0D5Jn4cak6ieXR8ePlXsCT+7PXtRC62bjJi1PnCUeE2/uSICl5IwB5lfbMjqHeJz4t+pA5kv13E6DVJpIjnqWBga6WlQe4aUarN6A9aywpAT5/xGLzlk2KQ+n07WKd60jkSrKlGcJSPXqrMZK146cEnPjqnIzR4ZG8o7KAitBVqR8TWUwgZQqRN0N11OUrLRZIbrt8Nwf2manmN1bhEf7XPM6AyWR9hmDlJsbOi8c4OnYniWGgBoFo+E+fFebVni9smqzu+bKdPI8Mjd3CqQqZZAmceo0Li8pniWDplYZ52GlCOWhoSQoEqc0Eh8O4JxSTsQCl+7l9nBZVT0jE7/Xt+7/yvJzZSR+tez0kC2PGf92aa2vol5fqxz0QoyuP1xdvbnCoK1goeDgHrNQ3vFxIVSVPSaNhCR+5vS5jm2SOe0r17/atmTEKaneSmB8UHz43sQ/8qjOq+Y681fJWrqvMi53HqTU/a0WcV3H8jWdQJXw9awREFtXrNR4IiqPztJ0gOBCA04xO7Di9Aj/Ls28uN1ZzhJT4J4jrEnQe99zSNvIY+Pa64BoFKiSPKb72cJl+dbNOr02cV0adnGyrrykHXB4lojzjHhS2PwEEKueGauUd1qTcpRAIxldXH/q30pPoO3u2UvHa9XOm5EnVYWdXf/h/5HHU/Sj5VVAzmknz7jOr1naaZAatTYaJdByQpJCf5xnxPqqBo9j0exFoW0c01XFqLuxmLcRBV1NYs1TWUjcDhVKBaPKgpvTd5xeCk6uz7S93CY1Spz8VLKW5E3TzoDhtJaZZN31l9aj5WhbnDLluVatCSX5SmM2MpY9kEKe3sYNN2dHrP1KDlN7KkWvbeO0W+s8q2OMOz3GdarOcvVqm5IOWDp35+qpIwtSaNzHP/7xE9YFBgyHQbZrOCFdY7lpMqeXprmjZHrbNUGV4tIFYCd8oy9ZS4OfrCT+3ymUUWBIz7tUi+FzQfQwQAp1OJDQ+pMS3wZIJX4qUBoxyLS/VH7d69bdWClvLLdpTWrEk+LNBVx/pdDd/Ekg1ZMfNy84TxqjXpmp7ARajlJ7DsQwcEc0JV4TP2kjVZqzI4Cb2oRvpD/2sY8NlXOwmlPTGUL/5//8n+nCCy883WzsaU972tOeNqS/+Zu/me5617vuFkg1lP/bv/3bNQLf7W53WzfynHPOmXaRrr/++jUg73IbG+3buVt0HNp5HNp4mO1s+vsjH/nIdMEFF5Qh2iMZ7msNasjbOq9R67hdFpLj0sZG+3buFh2Hdh6HNh5WO88999xunrFXI+5pT3va0572dBpoD1J72tOe9rSnM5aONEjd6la3mr7/+79//b2rdBza2Gjfzt2i49DO49DGM6GdR3LjxJ72tKc97el40JH2pPa0pz3taU+7TXuQ2tOe9rSnPZ2xtAepPe1pT3va0xlLe5Da0572tKc9nbF0ZEHqxS9+8XT3u999uvWtbz096EEPmt785jdPR5kuv/zy6YEPfOB09tlnT3e+852nRz3qUdN73vOek/K0swqf9KQnTXe6052m29/+9tNjHvOY6ZprrpmOKj3/+c9fn+P1tKc9befa+MEPfnD61m/91nU7bnOb20xf9EVfNL31rW898X/br/Sc5zxnustd7rL+/6KLLpquuuqq6ShRO3Pv2c9+9nSPe9xj3YbP//zPn37wB3/ws861O2rtfMMb3jB9/dd//fokhCafr371q0/6f6RNH/rQh6aLL754/fDrHe5wh+nxj3/8dMMNN0xHoY2f+tSnpmc+85lrmb3d7W63zvPv//2/X5/yc1rauDqC9MpXvnJ1y1vecvVf/+t/Xf3FX/zF6ju+4ztWd7jDHVbXXHPN6qjSwx/+8NXLXvay1Tvf+c7VO97xjtXXfd3Xre52t7utbrjhhhN5/uN//I+rCy+8cHXFFVes3vrWt66+/Mu/fPWQhzxkdRTpzW9+8+rud7/76ou/+ItXT33qU3eqjR/60IdWn/d5n7f6tm/7ttWb3vSm1Xvf+97V7//+76/++q//+kSe5z//+atzzz139epXv3r1Z3/2Z6tv+IZvWN3jHvdYfexjH1sdFfqhH/qh1Z3udKfVa17zmtX73ve+1a//+q+vbn/7269++qd/+ki383d/93dX/+k//afVb/zGbzS0Xb3qVa866f+RNn3N13zN6r73ve/qT/7kT1b/83/+z9U//+f/fPUt3/Itq6PQxuuuu2510UUXrX71V3919e53v3t15ZVXrr7sy75sdf/73/+kMk5VG48kSLUOe9KTnnTi96c//enVBRdcsLr88stXu0LXXnvtWnj+6I/+6ITg3OIWt1grAtBf/uVfrvM0ITpK9JGPfGR1z3vec/W6171u9f/9f//fCZDalTY+85nPXD30oQ+N/990002r888/f/VjP/ZjJ661tt/qVrda/cqv/MrqqNAjHvGI1bd/+7efdO3Rj3706uKLL96ZdqoCH2nTu971rvV9b3nLW07k+b3f+73VwcHB6oMf/ODqTKPJALEzKlu+97///ae8jUcu3PfJT35yetvb3rZ2sfksv/b7yiuvnHaFPvzhD6+/73jHO66/W5ubG87tvte97rU+YPeotbuF8x7xiEec1JZdauNv/dZvTQ94wAOmb/qmb1qHbr/kS75k+vmf//kT/7/vfe+brr766pPa2c4wa2Hro9TOhzzkIdMVV1wx/dVf/dX695/92Z9Nb3zjG6ev/dqv3al2Mo20qX238FeTAVDL3/TUm970pumo6qODg4N1u051G4/cAbN///d/v46Fn3feeSddb7/f/e53T7tA7ZT3tk7zFV/xFdN97nOf9bU2MW55y1ueEBJud/vvqNArX/nK6e1vf/v0lre85bP+25U2vve9751e8pKXTJdeeun0fd/3feu2ftd3fde6bZdccsmJtjgZPkrt/N7v/d71Ic/NkGjvNmrz8od+6IfW6xSNdqWdTCNtat/NOGFq77lrBudRbPfHP/7x9RrVt3zLt5w4YPZUtvHIgdRxoOZpvPOd71xbpbtE7aj/pz71qdPrXve69YaXXaVmZDQL84d/+IfXv5sn1cbzpS996RqkdoV+7dd+bXr5y18+veIVr5i+8Au/cHrHO96xNq7aQvsutfM406c+9anpm7/5m9ebRZrhdTroyIX7PvdzP3dttemOr/b7/PPPn446PfnJT55e85rXTH/wB39w0ovAWttaqPO66647su1u4bxrr712+tIv/dK11dU+f/RHfzS98IUvXKebNXrU29io7fr6gi/4gpOu3fve954+8IEPrNNoy1GX4e/5nu9Ze1OPfexj1zvB/t2/+3fT05/+9PVO1V1qJ9NIm9p3k3Om9pbwthvuKLX7U58BqPe///1rw5Jf03Eq23jkQKqFTO5///uvY+FsubbfD37wg6ejSs1SaQD1qle9anr961+/3tbL1Np8i1vc4qR2ty3qTfEdlXY/7GEPm/78z/98bXHj0zyOFh5C+qi3sVEL0+rjA23d5vM+7/PW6Ta2bSJzO1vYrMXyj1I7b7zxxs96WV0zIPEa8l1pJ7RPgpUAAAJfSURBVNNIm9p3M7SaUQZqc7r1S1u7OkoAddVVV03/43/8j/WjFEyntI2rI7oFve2m+cVf/MX1LpMnPOEJ6y3oV1999eqo0hOf+MT1ttY//MM/XP3d3/3dic+NN9540vbsti399a9//Xp79oMf/OD15ygT7+7blTa2nVA3v/nN11u0r7rqqtXLX/7y1W1ve9vVf/tv/+2kbcxNZn/zN39z9b//9/9ePfKRjzzjt2YrXXLJJat/+k//6Ykt6G078+d+7ueunvGMZxzpdrbdp3/6p3+6/jQV+ZM/+ZPrNHa2jbSpbc/+ki/5kvUjCG984xvXu1nPpC3oHyna+MlPfnK9rf6ud73r+nEY1kef+MQnTnkbjyRINXrRi160Vmbteam2Jb3t1T/K1ATFfdqzU6A2Cb7zO79z9Tmf8zlrpfeN3/iNa8HZJZDalTb+9m//9uo+97nP2pi6173utfq5n/u5k/5vW5mf/exnr84777x1noc97GGr97znPaujRNdff/167No8vPWtb736Z//sn62fvWFFdhTb+Qd/8Ad2LjZQHm3T//t//2+tsNtzY+ecc87qcY973BoYjkIb3/e+90V91O471W3cv6pjT3va0572dMbSkVuT2tOe9rSnPR0f2oPUnva0pz3t6YylPUjtaU972tOezljag9Se9rSnPe3pjKU9SO1pT3va057OWNqD1J72tKc97emMpT1I7WlPe9rTns5Y2oPUnva0pz3t6YylPUjtaU972tOezljag9Se9rSnPe3pjKU9SO1pT3va057OWNqD1J72tKc97Wk6U+n/B4Y8SWIPr7KZAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pip.update()\n", - "image = pip.resolve()\n", - "plt.imshow(image, cmap='gray');" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.11.9" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/1-getting-started/DTGS171D_custom_scatterers_actin_microtubuli.ipynb b/tutorials/1-getting-started/DTGS171D_custom_scatterers_actin_microtubuli.ipynb deleted file mode 100644 index c630ad539..000000000 --- a/tutorials/1-getting-started/DTGS171D_custom_scatterers_actin_microtubuli.ipynb +++ /dev/null @@ -1,274 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "8aadc10a", - "metadata": {}, - "source": [ - "# Creating Custom Scatterers: Actin and Microtubuli" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "54aa24e5", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "WARNING:pint.util:Redefining '[magnetic_flux]' ()\n" - ] - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "\n", - "import deeptrack as dt\n", - "\n", - "# Depending on your installed version of Deeptrack, you might have to exchange\n", - "# the next line for \"from deeptrack import units_registry as u\"\n", - "from deeptrack import units as u\n", - "from deeptrack.backend.units import ConversionTable" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "7ef6949c", - "metadata": {}, - "outputs": [], - "source": [ - "class Actin(dt.Scatterer):\n", - " __conversion_table__ = ConversionTable(\n", - " radius=(u.meter, u.meter),\n", - " length=(u.meter, u.meter),\n", - " rotation=(u.radian, u.radian),\n", - " )\n", - "\n", - " def __init__(\n", - " self,\n", - " radius=3.5e-9,\n", - " length=1e-6,\n", - " rotation=(0, 0, 0),\n", - " refractive_index=1.57,\n", - " **kwargs\n", - " ):\n", - " super().__init__(\n", - " radius=radius,\n", - " length=length,\n", - " rotation=rotation,\n", - " refractive_index=refractive_index,\n", - " **kwargs\n", - " )\n", - "\n", - " def _process_properties(self, properties):\n", - " properties = super()._process_properties(properties)\n", - "\n", - " # Ensure radius is of length 1\n", - " radius = np.array(properties[\"radius\"])\n", - " if radius.ndim == 0:\n", - " radius = np.array((properties[\"radius\"]))\n", - " elif radius.size == 1:\n", - " radius = np.array((*radius,))\n", - " else:\n", - " radius = radius[:1]\n", - " properties[\"radius\"] = radius\n", - "\n", - " # Ensure length is scalar\n", - " properties[\"length\"] = float(properties[\"length\"])\n", - "\n", - " # Ensure rotation is 3 values\n", - " rotation = np.array(properties[\"rotation\"])\n", - " if rotation.ndim == 0:\n", - " rotation = [rotation, 0, 0]\n", - " elif rotation.size == 1:\n", - " rotation = [rotation[0], 0, 0]\n", - " elif rotation.size == 2:\n", - " rotation = [rotation[0], rotation[1], 0]\n", - " properties[\"rotation\"] = tuple(rotation)\n", - "\n", - " return properties\n", - "\n", - " def get(\n", - " self,\n", - " *ignore,\n", - " radius,\n", - " length,\n", - " rotation,\n", - " voxel_size,\n", - " **kwargs\n", - " ):\n", - "\n", - " # Determine grid size\n", - " rad_ceil = np.ceil(radius / np.min(voxel_size[:2]))\n", - " len_ceil = np.ceil(length * 0.5 / voxel_size[2])\n", - " ceil = int(max(rad_ceil, len_ceil))\n", - "\n", - " # Create grid\n", - " x = np.arange(-ceil, ceil) * voxel_size[0]\n", - " y = np.arange(-ceil, ceil) * voxel_size[1]\n", - " z = np.arange(-ceil, ceil) * voxel_size[2]\n", - " Y, X, Z = np.meshgrid(y, x, z)\n", - "\n", - " # Rotate the grid\n", - " cos = np.cos(rotation)\n", - " sin = np.sin(rotation)\n", - " XR = (\n", - " cos[0] * cos[1] * X\n", - " + (cos[0] * sin[1] * sin[2] - sin[0] * cos[2]) * Y\n", - " + (cos[0] * sin[1] * cos[2] + sin[0] * sin[2]) * Z\n", - " )\n", - " YR = (\n", - " sin[0] * cos[1] * X\n", - " + (sin[0] * sin[1] * sin[2] + cos[0] * cos[2]) * Y\n", - " + (sin[0] * sin[1] * cos[2] - cos[0] * sin[2]) * Z\n", - " )\n", - " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", - "\n", - " # Cylinder mask\n", - " mask = ((XR**2 / radius ** 2 + ZR**2 / radius ** 2) < 1) & (\n", - " np.abs(YR) < length / 2\n", - " )\n", - "\n", - " return mask.astype(float)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "def743fe", - "metadata": {}, - "outputs": [], - "source": [ - "actin = Actin(\n", - " position=lambda: np.random.uniform(5, 27, 2),\n", - " # rotation=lambda: np.random.uniform(0, np.pi * 0.2, 2),\n", - " length=2e-6,\n", - ")\n", - "\n", - "optics = dt.Fluorescence(\n", - " output_region=(0, 0, 32, 32),\n", - " # resolution=2e-7,\n", - " )\n", - "\n", - "pip = optics(actin ^ 3)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "ca57c558", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pip.update()\n", - "image = pip.resolve()\n", - "plt.imshow(image, cmap='gray');" - ] - }, - { - "cell_type": "markdown", - "id": "aadad1a6", - "metadata": {}, - "source": [ - "microtuble\n", - "- refractive index = 2.8\n", - "- diameter = 25nm\n", - "\n", - "actin\n", - "- refractive index = 1.57\n", - "- diameter = 7 nm\n", - "- two strands, twisted around each other. Maybe good enough as a cylinder?\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "ceb667c5", - "metadata": {}, - "outputs": [], - "source": [ - "stripe = dt.Ellipse(\n", - " position = lambda: np.random.uniform(5, 123, 2),\n", - " radius=(0.025, 0.5) * dt.units.um\n", - ") \n", - "\n", - "stripes = stripe ^ 5\n", - "\n", - "optics = dt.Fluorescence()\n", - "\n", - "pip = optics(stripes) >> dt.ElasticTransformation(alpha=10, sigma=4)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "948bc824", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pip.update()\n", - "\n", - "im = pip.resolve()\n", - "\n", - "plt.imshow(im, cmap='gray')" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.11.9" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -}