{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Hexagonal Grid Topology\n", "\n", "In this notebook, we illustrate how to build a multicell topology for\n", "system-level simulation purposes and compute the SINR distribution across the users.\n", "\n", "More specifically, we show how to:\n", "- Place base stations on a hexagonal grid\n", " under the wraparound principle to reduce boundary effects;\n", "- Ensure that the topology generation is 3GPP compliant;\n", "- Drop users uniformly in each sector;\n", "- Compute post-equalization signal-to-interference-plus-noise ratio\n", " (SINR) for a given set of channel matrices.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports\n", "We start by importing Sionna and the relevant external libraries:" ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:35.738472Z", "iopub.status.busy": "2026-02-13T13:56:35.738362Z", "iopub.status.idle": "2026-02-13T13:56:36.917580Z", "shell.execute_reply": "2026-02-13T13:56:36.916420Z" } }, "source": [ "# Import Sionna\n", "try:\n", " import sionna\n", "except ImportError as e:\n", " import os\n", " import sys\n", " if 'google.colab' in sys.modules:\n", " # Install Sionna in Google Colab\n", " print(\"Installing Sionna and restarting the runtime. Please run the cell again.\")\n", " os.system(\"pip install sionna\")\n", " os.kill(os.getpid(), 5)\n", " else:\n", " raise e\n", "\n", "import torch" ], "execution_count": 1, "outputs": [] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:36.919721Z", "iopub.status.busy": "2026-02-13T13:56:36.919525Z", "iopub.status.idle": "2026-02-13T13:56:38.780830Z", "shell.execute_reply": "2026-02-13T13:56:38.779878Z" } }, "source": [ "# Additional external libraries\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Sionna components\n", "from sionna.phy.utils import flatten_dims, sample_bernoulli\n", "from sionna.phy.utils import dbm_to_watt\n", "from sionna.phy.constants import BOLTZMANN_CONSTANT\n", "from sionna.phy.channel import GenerateOFDMChannel\n", "from sionna.phy.ofdm import ResourceGrid, RZFPrecodedChannel, EyePrecodedChannel, LMMSEPostEqualizationSINR\n", "from sionna.phy.channel.tr38901 import UMi, UMa, RMa, PanelArray\n", "from sionna.phy.mimo import StreamManagement\n", "from sionna.sys import HexGrid, gen_hexgrid_topology\n", "from sionna.sys.utils import spread_across_subcarriers\n", "\n", "# Internal computational precision\n", "sionna.phy.config.precision = 'single' # 'single' or 'double'\n", "\n", "# Set random seed for reproducibility\n", "sionna.phy.config.seed = 45" ], "execution_count": 2, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate a multicell topology\n", "\n", "In system-level simulations with\n", "3GPP channel modeling, it is customary to place cells uniformly in space\n", "on a so-called [*spiral hexagonal grid*](https://nvlabs.github.io/sionna/sys/api/sionna.sys.HexGrid.html).\n", "\n", "The main parameters defining the hexagonal grid are:\n", "- Inter-site distance, determining the distance between any two adjacent\n", " hexagonal cell centers;\n", "- Number of rings of the grid, typically 1 or 2 (corresponding to 7 and 19\n", " hexagons, respectively)." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:38.783407Z", "iopub.status.busy": "2026-02-13T13:56:38.783136Z", "iopub.status.idle": "2026-02-13T13:56:39.183253Z", "shell.execute_reply": "2026-02-13T13:56:39.182272Z" } }, "source": [ "# Inter-site distance, i.e.,\n", "# distance between the centers of two adjacent hexagons\n", "isd = 100 # [m]\n", "\n", "# Number of rings (typically, 1 or 2)\n", "num_rings = 1\n", "\n", "# Cell height\n", "cell_height = 10 # [m]\n", "\n", "grid = HexGrid(isd=isd,\n", " num_rings=num_rings,\n", " cell_height=cell_height)\n", "\n", "print(f'Cell center locations (X,Y,Z) [m]:\\n{grid.cell_loc.cpu().numpy()}')\n", "fig = grid.show(show_sectors=True)" ], "execution_count": 3, "outputs": [ { "output_type": "stream", "text": [ "Cell center locations (X,Y,Z) [m]:\n", "[[ 0. 0. 10. ]\n", " [ -86.60254 50. 10. ]\n", " [ 0. 100. 10. ]\n", " [ 86.60254 50. 10. ]\n", " [ 86.60254 -50. 10. ]\n", " [ 0. -100. 10. ]\n", " [ -86.60254 -50. 10. ]]\n" ], "name": "stdout" }, { "output_type": "display_data", "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {} } ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each hexagonal cell is divided into three sectors, as indicated in the figure. \n", "When we will place base stations, each of them will serve a specific sector." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Drop users\n", "\n", "After defining the hexagonal grid, we distribute users uniformly at random within\n", "each sector. \n", "\n", "We can control the number of users per sector, their minimum and maximum\n", "distance from the nearest cell center, and their height. " ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:39.238720Z", "iopub.status.busy": "2026-02-13T13:56:39.238563Z", "iopub.status.idle": "2026-02-13T13:56:39.435467Z", "shell.execute_reply": "2026-02-13T13:56:39.434357Z" } }, "source": [ "batch_size = 1\n", "\n", "# N. users per sector\n", "num_ut_per_sector = 5\n", "\n", "# Min/max distance between a user and the nearest cell center\n", "min_bs_ut_dist = 0\n", "max_bs_ut_dist = None # If None, users can be anywhere in the sector\n", "\n", "# Min/max user height\n", "min_ut_height = 1.5\n", "max_ut_height = 2\n", "\n", "# Drop users uniformly within each sector\n", "ut_loc, mirrors_per_ut_loc, wraparound_dist = \\\n", " grid(batch_size,\n", " num_ut_per_sector,\n", " min_bs_ut_dist,\n", " max_bs_ut_dist=max_bs_ut_dist,\n", " min_ut_height=min_ut_height,\n", " max_ut_height=max_ut_height)\n", "\n", "print(f'{ut_loc.shape = }')\n", "# [batch_size, num_cells, num_sectors=3, num_ut_per_sector, 3]\n", "\n", "print(f'{mirrors_per_ut_loc.shape = }')\n", "# [batch_size, num_cells, num_sectors=3, num_ut_per_sector, num_cells, 3]\n", "\n", "ut_loc = flatten_dims(ut_loc, num_dims=3, axis=1)\n", "\n", "fig = grid.show()\n", "ax = fig.get_axes()[0]\n", "ax.plot(ut_loc[0, :, 0].cpu(), ut_loc[0, :, 1].cpu(), 'xk', label='UT')\n", "ax.legend()\n", "plt.show()" ], "execution_count": 4, "outputs": [ { "output_type": "stream", "text": [ "ut_loc.shape = torch.Size([1, 7, 3, 5, 3])\n", "mirrors_per_ut_loc.shape = torch.Size([1, 7, 3, 5, 7, 3])\n" ], "name": "stdout" }, { "output_type": "display_data", "data": { "image/png": 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aa8CBA2LQhMmTZUcT2EJDlTsPM2YAf/8tNx4t6D2CVatWrfDnn38We/3PP/9Ey5YtNV22P+Lky5gKTp8WTYoAMVxgtWpy42FAnz7ArbcCWVnA88/LjkZdMtp4Dx8+HH/99ReeeeYZbN++Hfv27cPs2bOxdOlSjHN1McbKjStcMaaCyZPFsIHXXQcMGCA7GgaIWs6vvCK2yUcfASNHAl26yI7Kd7LaeDdr1gzr1q3D5MmT0b17d+Tk5KB169b45JNP0KNHD9WX5+84+TLmoz//VDp0eO010d6UGUP79mLc3wULRNOjjRtFP9tmJrON9w033IAff/yxzM917doVRKRZHP4giAJgDaWnpyMiIgJpaWnu3lYYUwMRcMstoj3po48CH3wgOyJW1NmzQIsWQFqa6PLziSfkxpOVlYXDhw+jadOmqFy5stxgmFdK23be5hm+RmfMBx9/LBJvWBgwfbrsaJgnUVFAYqKYnjRJJGHGZOPky1gFXb4MPPecmH7+eaBBA7nxsJKNHAm0aiVKwVOnyo6GMU6+jFXYzJnAsWNAo0bAs8/KjoaVxmoV4ykDYsjBv/6SGw9jnHwZq4Bjx5TbzDNnitvOzNh69gTuvBPIzQW4ZQyTjZMvYxXw/PNAZqZouvLgg7KjYeU1e7YY6OKbb4Dvv5cbSwDUdfU7am4zTr6MeenXX4GlS0U70ldf9b9Rc/xZq1bA00+L6TFjRClYb5b/2jrl5OTov3Dmk8uXLwMAKlWq5PO8uJ0vY17IzxftRQHRZKVDB7nxMO8lJADvvw/s3QvMnw8884y+yw8JCUFYWBjOnj2LSpUqIZgbhhseEeHy5cs4c+YMIiMj3RdQvuB2vox54Z13gMGDgfBwYP9+oHZt7+dh1MHQA8lbbwFPPglERortWKuWvsvPycnB4cOHkZ+fr++CmU8iIyMRHR2NIA+3u7zNM1zyZayc0tOBiRPFdEJCxRIvwIOhG8HgwcC8ecC2bWJbzpun7/KtVitatGjBt55NpFKlSqqUeN0oAKSlpREASktLkx0KM7Hx44kAohYtiLKzfZuX3W4nAGS32z3+zbS3dq3YnsHBRNu2yY6GmZ23eYZvOzNWDvv3A1ddJSrofPMN0KuX7/N0lXRdQ8LxYOj6e/BB4NNPgdtuA1at4spzrOK8zTOcfBkrh969ga++Anr0AFasUO8kbbPZ3GOyZmdnqzNTVm5HjgCtWwPZ2cDnnwP33Sc7ImZW3LczYyr78UeReC0W0U5UrcSr92Do5ZGUlFRiHA6Ho0IVwbSYp1qaNFG6CB03Toz9y5geOPkyVoq8PNEeFACeegpo00ad+coYDL08XJXBisbhirciFU60mKeaJkwA6tcHDh9WuqBkTHMaPn82DK5wxSpq7lxRKadmTaLz59WZZ0mVq4xS6UqLymBGr2D2/vtiO1epQnTihOxomBl5m2c4+TJWgn//JapeXZyU589Xb76JiYklJh273U6JiYnqLayCXMnRarWqliS1mKdanE6iG28U27p/f9nRMDPi2s4ecIUrVhFPPQW88QbQti3w55/imW8g0aIymJErmP3xB9Cpk5jesAHo2FFuPMxcuMIVYyrYsUN0PQgAr7wSeIlXi8pgRqxgVlDHjsCAAWL6mWdEV6KMaUbTcrhB8G1n5o38fKLYWHEL8v77ZUejv0B85uvyzz9EVauKbf/++7KjYWbCz3w94OTLvPHFF+Lka7MRHTwoOxp9aVEZzOgVzIp66SWx/evVI8rIkB0NMwtv8wz37cxYAdnZykDr48YBzZrJjUdvTqfTY09brr+dTqch5qmlMWOAt98WTY+mTQOmTpUdEfNHXOGKsQKmTxftPuvWBf76C6haVXZETIYvvgDuvx+w2cTQg02ayI6IGR1XuGKsgk6eVEo506dz4g1k994LxMaKOyGuHrAYUxMnX8b+M2kScPGiqPXar5/saJhMQUGilntwsBh4Ye1a2RExf8PJlzEAGzcCixeL6VdfFSddFtiuuQZ48kkxPWoUYLBH08zk+BTDAh6ROLkCwGOPATfeKDceZhx2OxAZCWzfDixcKDsa5k84+bKAt3QpkJICVKkCJCfLjoYZSa1awJQpYvqFF4DUVKnhMD/CyZcFtEuXgPHjxfSkSWJ0G8YKGj5cjGb177+iJMyYGjj5soA2fTpw4oRoSjJ2rOxomBFVqqQMNTh3rmh6xJivOPmygHXkCDBzpph++WWgcmWp4TADi4sD7rpLjO/MF2lMDZx8WcAaPx7IygK6dhUdKjBWmlmzRCn4u++AFStkR8PMjpMvC0jr1gGffCKaFL3yimjXyVhpWrZUasWPHQvk5MiNh5kbJ18WcJxO5SQ6dCjQrp3ceJh5vPACULs2sG+fGOuZsYrSNPmuW7cOd999N+rVq4egoCB8+eWXhd4nIiQkJKBu3boIDQ1F9+7dsX///kKfOX/+PPr164fw8HBERkZi8ODBuHjxopZhMz/3zjvA1q1ARATXXmXeiYgAXnpJTE+ZApw5IzceZl6aJt9Lly6hXbt2eKOES8QZM2bgtddew5tvvokNGzagSpUqiIuLQ1ZWlvsz/fr1w65du7By5Up88803WLduHYYOHapl2MyPpaYCkyeL6aQkICpKZjTMjAYOBDp0ANLSgCIDNTFWflqOb1gQAPriiy/cf+fn51N0dDTNnDnT/VpqairZbDZaunQpERHt3r2bANDGjRvdn/nuu+8oKCiITpw4Ue5l83i+gSUxMbHEMWI7d7YTkEitWxPl5OgcmIkcO0a0erX4zYpbt06M+RsURLRli+xomBGYZjzfw4cP49SpU+jevbv7tYiICHTq1AkpKSl4+OGHkZKSgsjISFx//fXuz3Tv3h3BwcHYsGED7rvvPhmhG87ly+KHCdnZFkybloDLl4Fx45SiyaRJDqxfnwDAjjlzRM1VVtz//Z94Fp6fLyqkvfUWMHiw7KiMpUsXoG9f4KOPgKeeEkMQcqW9slWvDlgssqMwBmnJ99SpUwCAOnXqFHq9Tp067vdOnTqF2rVrF3o/JCQENWrUcH/Gk+zsbGRnZ7v/Tk9PVytsw1m1CujZE8jNlR2JkYiEO21aAqZNc/3tACASb5cu8ejRQ150Rnb8uJJ4AfH7ySdFO9cGDeTGZjQzZogRj377TVTCYmW78kpg0yYgNFR2JPL5ZW3n5ORkREREuH8aNmwoOyRN5OYCI0dy4vUsHoAdIuHa4Eq8QDx27FCSCyts//7i68bpBA4ckBOPke3dyyMdeWv3btFemklMvtHR0QCA06dPF3r99OnT7veio6Nxpkh1wry8PJw/f979GU8mTpyItLQ098+xY8dUjt4Y3nhDNHmIigIuXBAnTf4p+BMPq9UKIAdWqxW//ipKxKmpwPPPS910htWiRfHhFC0W4Ior5MRjNElJSXA4HACA/v3Fa1FRYn+bMsWBhIQkA+z3xvz58EOxvpKTxR2WQCct+TZt2hTR0dFYtWqV+7X09HRs2LABMTExAICYmBikpqZi8+bN7s+sXr0a+fn56NSpU4nzttlsCA8PL/Tjb86eFbV1AdH0ITJSPHPiH+Vn6lQHcnJE4s3JycHq1Q506SLW2Suv8Ag1njRoIJ7xup7LWSzAggV8y9nFYrEgISEB3bs74Co3vPuu2NcSExMQEmKRvt9r/TNlShKmTnWUeMxNmZLk8b2HHwZuuknUT5kwQe52NAQta39lZGTQli1baMuWLQSAZs+eTVu2bKG///6biIimTZtGkZGRtHz5ctq+fTv17t2bmjZtSpmZme559OjRgzp06EAbNmygX3/9lVq0aEGPPPKIV3H4Y23nYcNEbcv27Yny8mRHYzx2u50AuGs9u/5+/nk7BQeLdXf77ZKDNLBjx4jWrOHazp7Ex4t9CbDTtdcW39f8XUnftzzrYdMmUUMcIFq/XutI9eVtntE0+a5Zs+a/nbTwz4ABA4hINDeKj4+nOnXqkM1mo27dutG+ffsKzePcuXP0yCOPUNWqVSk8PJwGDRpEGRkZXsXhb8l361ZyJ5Cff5YdjfGUdXLo2NFOgFh/BVqxMVYu999PBIh9yWq1BlTidSnp4rY86+Hxx8Wxd8MNRE6n1pHqx9s8E0REpGdJW4b09HREREQgLS3N9LegiYDYWGDtWuChh0RTB1ZYUlISLBYL4j30gOBwOJCX58ScOUnIyACaNQMOHpQQJDOlffvE2L5EQHCwDfn54rFGwdYVgcLhcCAhIcH9WMdut3s85oo6dUr0k52RASxeDAwYoH2sevA2z3DyNZnPPgMeeEAMf7d3L9C4seyIzOm995SD/u23gSeeKPx+WQnc6XQiyfXQnQWMq68Gdu0CQkIcyMvzPvH4G5vN5q5X4c0FyMyZYlSx6Gjgr7+AatU0DFIn3uYZv2xq5K+ysoBnnxXTzz3HidcX/fsrNXhHjxbjtBbkqljjqtnq4rrat3BPAQHns89E4gVE4rXb7cjOzobdbve4r/g7h6NwhUZvvv8zz4jj79Qppa/sgKPhLXDD8Jdnvi++KJ6V1K9PdPGi7GgKK61LR7vdTomJifoGVA5bt5L72e+TTxZ/35fnWsy/OJ1EkZHKs96KVDbyJ2ocG8uXi2PPaiU6eFCrSPVjqApXRuEPyff4caIqVcTO+sEHsqMpzpcakDL16CHWaXAw0cmTxd93xR+oFWuYMH6860ItkQYPNtdFptrUOtbz80WLA4Dovvu0iFRfnHw98Ifk+9hjYift3FnstEZkxpJiWhpRSIiybj1xJV6r1apvcAHMSHdSLlxQ9pGbb9ZtsYal5rbZuZPIYhHr9qefVApQEk6+Hpg9+aakKLdHjd40xowlxYkTlfW7Zk3h98z4ffyBke6kxMUpd0dOn9ZtsQHj6afF+r36aqLcXNnRVBwnXw/MnHydTqKOHcXOOXCg7GjKx2wlRaeTqEYNsY7r1VNeN2JJ3kglQq0ZYf1v3qxcmA0bpttiA8q5c8rx98YbsqOpOE6+Hpg5+b73ntgpq1Yl+ucf2dGUzawlxc8/V06ys2YZq+RVnuXLjksrsven5s2V48/MpTKje/11sZ5r1hTJ2Iw4+Xpg1uSbkUFUt67YKadNkx1N2YxQUvHFNdeIdV25MtHkycYtYZp9PXtL1p2Ud95RLsjeeUfXRQec3Fyiq64S6/qZZ2RHUzGcfD0wa/KdNEnsjM2bE2VlyY6mdP5QIvvrL6XfWS+7D9ed7BKhXmR9z7w8Udp1HX9Mez/9JNa3xUK0a5fsaLzHydcDMybfgweJbDaxM375pexoyuYvzyIfeECs86AgokOHZEdTOrM9W/eWzBK+a+ASgGjLFs0Xx/5z773KoCdGbdVREk6+Hpgx+YrO24m6dTPfTmhmmZnKRU/79rKjKZm/l3xl3kk5eVIZuCQuTrPFMA8OHBCdbgBEX30lOxrveJtnuHtJA1qzBvj8czGo+SuviLEwmT4qVwamTBHTW7cC33wjNRyPXF1c+nP3hk6n02N/yfHx8bDb7XA6nZot+8EHxeDvISHAsmWaLYZ50Lw5MHasmB47FsjJkRuPpjS+GDAEM5V8c3OJ2rYVV34jR8qOJnBFRyu1L4007Jk/PFs3sl9+UW43jx8vO5qy+cvjnoLS05Xjb+ZM2dGUH5d8TW7hQmD7dqBy5SRUq+a5JONwOHhEHY0tWSJ+nzsH2O1yYylIZonQW0lJSSWWxo26Dz/8sPhdvTqQnCw3lvLwxwFAqlVT1r3dDpw+LTcezWh8MWAIZin5nj8vSloAUa9eXMKRzdW5SaVKotkX847ZSulz5iil3k8/lR1N+flj0zOnk+j668W2GDxYdjTlwxWuPDBL8h01SuxsV14pbj/740FlJseOKRVv7rpLdjTmZJZ9ODtbtO8GRHtTs/HHCnjr1ystDzZvlh1N2Tj5emCG5Lt7t9J5+48/Kq/740FlJoMGKaWhnTtlR2NOZtiH+/VTTvR798qOpmL8semZa7vcfLPxW31w8vXA6Mk3P1/pvP2ee4q/748HlVnk5hKFhYlt07q17GjMy8j78JEjSucq998vO5qKMcMFTkUcO6Ycf8uWyY6mdFzhyoRWrAB++AGoVAmYNavwew6HAzk5ObBarcjJyfGr5iRmEBICvPyymN67F1i6VG48ZmT0ffj++8W9DasVeP992dF4z5+bnjVoAEyYIKafew64fFluPKrS+GLAEIxc8n3hhUSqUcPusWlDbGysKZ6XBYLGjcXVd3i4sZoeGZ3Rn/muWKE8Vpg6VXY03jNbpbaKuHyZqFEjsY2SkmRHUzK+7eyBkZNvjx7iIKlSxU4Fw3Ml3tjY2EKf96eDykx+/105SY8eLTsaczBDYoiKEtu0Th3ZkVSMP7bz9eTjj8V2Cg0lOnpUdjSecfL1wKjJ9/RpUZICPJcOiiZeF386qMzkttuUjt///Vd2NMZn9MSQlKRcUP3wg9RQWBny84luucXYg554m2eCiIh0vtOtu/T0dERERCAtLQ3h4eGyw3EbOhR4+23guuuAe+5xIDExwf1czFNHCkyuf/8FoqMBpxO47TZg9WrZEbGKungRqFlTdF94/fXAxo2yI2Jl2bJFnCuJgF9+AW6+WXZEhXmbZzj5SlJwR/r1V+CmmwCbzeaumJKdnS07RObBqFHAa6+J6d9/Bzp1khsPq5h77wWWLxf9ph85AjRqJDsiVh6uAsu114oLpmADVRn2Ns8YKPTAQSRO4kTAI4+IxGv0GqGyGK2LwjlzANdx1bevrotmKtmzRyReAOjfnxOvmUydKo6/P/8EFi+WHY1vOPlK8Omn4rZJaCgwfbp/NxXwldH6rg0OBubNE9N//w28+aaui2cq6NNH/A4NBd56S24sRmO0i92iatcGEhPF9KRJQHq61HB8o+HzZ8MwUoWrotXmzVAjVDYjNldp1Upsw7Aw0REHM4dly5RKVq+/Ljsa4zHD+Sg7m6hlS+ONPMW1nT0wUvK128VO07Ah0aVLxq8RahRG68Fnxw7lJP7441JDYeXkdBJFRCjHH/PMiBe7RX37rTLoyV9/yY5G4OTrgVGS79Gjop2aGbpKMyKjdVHYq5fYlsHBohs8ZmzjxikXTOvXy47G2Ix2setJjx4ld8krA3cvaWATJgCZmaKK/EMPyY7GXIxYIW3ZMtElaH4+8MADsqNhJUlKSsKkSQ688or4+9ZbgZgYMW2E55hGFB8f7z7WrFarIZs9zp4tun/96itg5UrZ0XiPk69O1q8HPvxQNG149VXx2wyMUAHDqBXSqlZV+p3dsAFYtUpqOKwEFosFyckJcDodsFhEhUfA3APOa82IF7tFtWkDPPWUmB49GsjLkxqO9zQuiRuC7NvOZhwY2kV2BQzZyy+L00lUs6bYttHRUkMxPa3qP2zcqPQi16mTcZ9jGoUZnvm6nD9PVKuWOP7mzpUbCz/z9UB28l20SOwc1aoRnTolJQSfyDwYzVAh7euvlWeJ06bJjsa8tLrQatpUbBur1fjPMWUz+sWuJ2++KbZv9epyu33l5OuBzOSbliY6bQeIZs7UffGqMUMFDJnatRPb2GYjysyUHY15qX2h99ZbyoXR++8br9Ke0ZjhYreovDyitm3FNh45Ul4cnHw9kJl8n39e7BQtWoj2aWbGJ66SHTqkDMj+4IPqzNOMJ0I1qHWhl5tLVKWKcvzxBaT/Wr1aaXmwY4ecGDj5eiAr+R44QGS1ip3iq690XbTq+MRVtocfFts6KIho/37f52fGW4BqUeNCb8gQpdQ7YoR5nmOyiunTR2zrbt3EKEh64+Trgazke++9Yme44w45O4NajFIBw+glwcxMosqVxTZv21adeRpl3etJjQu9EydEKUiUegP3IiaQHDokHvsARF9+qf/yOfl6ICP5rlypjP26a5dui1WdkUpfRoqlJC+/rJS2vvhCnXkG0l0HtS42YmLENggJIZowwXgXbUa/kDSryZPFdm/WjCgrS99lc/L1QO/km5tLdNVVYid45hldFqkZo50kzFASrFdPbPsaNURTJDUEwvN2tS6u1qxRLoAmTdIgUBWY4ULSjDIyiOrWldPygJOvB3on39dfFxu/Zk3RDo2py+glQbVP/q7vGxwcXOL39YfSkloXelpc/GjBDBeSZvTee2L7V61K9M8/+i2Xk68Heibfc+fEQQ8QvfGG5osLWEYvCbpue1aqJJqbVVTBE7JruugJmk/aioK3/WU89/OW0S8kZaroxZjTSdSpk9gHBg3SMMAiOPl6oGfyffppsdGvvpqHmtOKGU5YBSv83Hln8ffLc2LxlFSLJmBOvAotKrzpwegXkrL4cmv+99+Vi7A//tA6UoGTrwd6Jd+dO0UFK4Dop580XVTAMtOtuoJNXbZtK/xeeU4sJSVo12csFothv7sMBZt6HTggO5ryMcOFpEy+HO/9+4v9ISZGn9YmnHw90CP55ucT3X672Nj33afZYgKa2SqpFO3koShfTixcWirs4EH1OznRmpkuJGWq6AXKiRPK8ffBBxoHSZx8PdIj+S5f7uo/VpwImPqMVvO6PN5+Wyn9vvde8fcrcmLh0lJx7dubq3tPs11IylbRi80XXxT7Rf36RBcvahTcfzj5eqB18s3KIrriCrGRJ0zQZBEVSjxmTFb+yNWxf7VqnmvfenNi4dJSca4LX4Bo+nTZ0ZRPWcfmrbfeysfuf3y52MzMJGrSROwbCQkaBkmcfD3SOvnOmKEMKZeerskiKnSlzFfXxiCGtBM/Tz1V+D1vTiy8PYvz1yEdeVsLalxsfvaZ2D8qVyY6ckSrSDn5eqRl8j15UpRoAKLFi1WffSEV2RG5pGQM3bsrPZ6dOSNe83bb8J2M4uLjlQsbf6vkaLZjV+39U60LkPx8ottuE/vIQw95FYJXOPl6oGXyffxxsVFvuEGfBv38jNCczp0TXR0CRLfcwiUbNWRkiHbUgGjX6Y/MdOyqvU+rmcy3bVOa/v38s1dhlBsnXw+0Sr6bNik1LNevV3XWpapI5QOuHSvfuHFKKe3xx7kU66u77lKGkTtxQnY02jHTsWvk0vqwYWJ/ad9ejAGsNk6+HmiRfPPziW66SWzMfv1Um22ZuORrXk4nUUSE2GcaNpQdjbnt2FHwQkZ2NNox47Fr1JjPnCGKjBT7zNtvqz9/Tr4eaJF8ly4VGzEsjOjYMdVmWyp+5mt+y5YpSWPuXNnRmFerVsrx5689yZn52DVqaf2VV8R+ExVFlJqq7rw5+XqgdvK9dImoQQOxER0OVWZZJq7t7D/atBH7TmgoUXZ26Z/lSlbFffCBcgGzYIHsaLRh5mPXqCVfIqKcHKLWrcW+M26cuvP2Ns8EQ7KkpCQEBQUV+mndurX7/aysLIwcORI1a9ZE1apV0adPH5w+fVpixMCMGcDx40DjxsC4cfos0+l0wm63Iz4+vtDr8fHxsNvtcDqdqvwP095nn4nfmZnAkCGlf9ZisSAhIQEOh6PQ6w6HAwkJCbBYLBpFaUz5+cDw4WK6cWNg6FC58WjFrMeua7+02+3Izs6G3W73uP/KUqkS8MorYvrVV4G//pIYjLq533uJiYl01VVX0cmTJ90/Z8+edb8/bNgwatiwIa1atYo2bdpEN954I3Xu3NmrZahZ8v37b1FiAYg++cTn2bEA1bu30g/x0aOlf9bMtx/VNnq0/h3ms/IxU2m9Vy+xD911l3rzNN1t58TERGrXrp3H91JTU6lSpUr0SYEst2fPHgJAKSkp5V6GmsnX1Xn7Lbfo01m3WR07RrR6tX7Pw/Wg5i3gixdFV6QA0fXXl/15I9zKk30L/OxZZeCS227TdFGmJ+P4k71/eGPfPqXp33ffqTNPb/NMiKQCdyH79+9HvXr1ULlyZcTExCA5ORmNGjXC5s2bkZubi+7du7s/27p1azRq1AgpKSm48cYbdY3zl1+AZcuAoCBxyyIoSNfFm8b//Z+4HZifDwQHA2+9BQweLDsq37luAQModDuw4K228qpSBZg8GUhMBDZtAjp1Eq+VLB5BQVORk5ODoCAr1qyJx5o1FfwiFXTkiAWHDydg0SKgSRPx/Q8fTkJq6i9ITV2Npk3tWLeu4OcdIHKiadMkVZa/dq0o8wYFAZ98osos/ZKs4y8pKanE94rePpetZUtg1Chg1ixgzBigWzdxS1pX6uT8iluxYgV9/PHHtG3bNvr+++8pJiaGGjVqROnp6fTBBx94rC13ww030Pjx40ucZ1ZWFqWlpbl/jh07pkrJd/BgcaUUF+fTbPzasWNKY3bXj8XiPyVgtW8Bu66+y/5xjeNr/e+3vZz/p/aPvcjyY//7O7aMz6n3c+21am5RcymrdDlmTKJfH39qOnlSWUfr1vk+P9OVfHv27Omebtu2LTp16oTGjRvj448/RmhoaIXmmZycjClTpqgVotv994urytWrgf37gRYtVF+E6e3fL664C3I6gQMHgAYN5MSkJtcVfEJCAqZOFSVRTxVjymPePCAvT0w3aQKUtLufPevAv/8moFYtO6Ki4gv8DURF6V2iiMfZs8C//yYgKGgqiHIQFhaLy5dXo1YtR5H47KrFRwTs3Sumd+wALl8GwsJUmbWplHX3ZdAgu18ff2p6+23xu1Ej4PrrJQTge75X3/XXX08TJkygVatWEQC6cOFCofcbNWpEs2fPLvH/tSr5EhH17CmulO6+2+dZ+SV/L/m6+NqOMTdXtFEFRNOHkhi1EkvR76/HM+kjR5Qe5QJ5zOzS7r4EyvHnq6NHlYqzH32kzjxNV+GqqIyMDKpevTq9+uqr7gpXn376qfv9vXv3Sq1wtWePcqvwhx98np1fWrhQqRhjsYi//YkaiWbQIOXkuGNHybcTExMTKTY21mNlFVmVWEr6/np0rNCvn1JLfO9ezRZjeKXtg/5+/Knh0UfF+unSRb2Ks6ZLvuPGjaO1a9fS4cOH6bfffqPu3btTrVq16Mx/Q78MGzaMGjVqRKtXr6ZNmzZRTEwMxcTEeLUMtTvZcDV3uPJK0WibFXfsGNGaNf53xa3GM9+CpRPXHRSjlnCLKun7x8bGal7yJRKdklSuLNbdVVdpsgjTKO1ix1+PPzX89ptyAbd5s3rzNV3y7du3L9WtW5esVivVr1+f+vbtSwcOHHC/n5mZSSNGjKDq1atTWFgY3XfffXTy5EmvlqF28j1/nqhWLbEBX3tNlVkyE1ArQXbsKPadSpXEyDwlzUdm4vVUEi+YaAuWuF2JNzY2ttDntIrb1UUgAritvRGanpmR0yma9gFETzyh7rxNl3z1oEXfzm++KTZgZKRof8j8nxrtGH/8UUkcnj5ulJOqpwTqugVeUsm34PfXOgG7uneNjNRnKE8jMdJFmtksWiT2m/BwolOn1J03J18PtEi+eXlEbduKDTlihGqzZX6ipEQdHS2a4YSGJpb4rMkondKX5yQvq2OFX35RLmKee06TRRiSWR5PGFFaGlGdOmKfefllLebPybcYrcbzXbNGbMjgYKLt21WdNTM5TyfD5GSl/Wu/fiUnLCOUfI0aT0E33yyOv5AQoiINIvyWmXqRMprnnxf7S4sWZQ9oUhGcfD3QKvkSEfXpIzZobCx3N8kKK5iAMzOJLBbxd3R06YnXaLcTjVISL+r0aaXi2h13yI7G+AI5cR84oHTn+vXX2iyDk68HWibfQ4eIbDaxUb/4QvXZM5NzJdDgYKVnqkOHSv6c0W4nGrnkS0Q0fLhy+1nNmqv+yKj7mLcqchFx771K74RaFZI4+XqgZfIlIpo8WWzYZs2IMjM1WQQzsUqVXInXSo8+6vkzRiyVGLUkXpDTSVS1qnL8sdKZYZuWxduLiJUrlTbPu3drFxcnXw+0Tr4ZGUT16okNnJysySKYSblOCK4+mRMSzHGSM1MpafFipfTLHUqUzeh3M8qjvBcRubmiPThANGqUtjFx8vVA6+RLRPTee2IDV61K9M8/mi2GmYiSeMXgAj16GC9xlcSIJfHSNG8ujr8qVcQJl5XOqM/xvVGei4jXXxf7Rc2aon8GLXHy9UCP5Ot0EnXqJDb0wIGaLYaZhOvEULmySLz16hV+3QwJ2Ey2bFFKv8OGyY7G2Pyh5OtS2kXEuXNENWqIfWLePO1j8TbPBIOpIjhYjPELAIsXAxs3Sg2HlSIpKQkOh8Pjew6Ho9RxScvL6XSiSxc7srLEyDMffihej4+Ph91uh9Pp9HkZTNG+PRAXJ6bfegs4dUpqOIZVcOzp7Oxs2O12JCQklHg8GJnD4UBOTg6sVitycnKKfYekJOD8eeCaa4AhQ+TEWCqNLwYMQY+Sr0v//uJK68YbuemRUenxPDMtTRmAo3Nnn2fHyuHCBWWd33ST7GiMx0zP8ctS1jPfnTuVwSVWrdInJr7t7IGeyffECfHcCSBaskTzxbEK0rrWZ48eSgcsXnZFznzg6kgBIPr5Z9nRGIvZnuOXpKyLiClT7HT77WIfuP9+/eLyNs8EERHJKHHrKT09HREREUhLS0N4eLjmy3vpJWDyZKB+fWDfPqBKFc0XySrAdQvOddvKbrcXGqC8orZuBTp0ENNDhwILFvg8S1ZO+flArVrAhQvi+Dt+XHZETG1JSUmwWCwej1WHw4Hdu51YtiwJViuwZw/QrJk+cXmbZzj5aiArC2jTBjhyBIiPB+x2zRfJKshms7mfG2VnZ6syz5Ytgf37xUVXaioQEqLKbFk5ffYZ8MADYnrOHGD0aKnhMB1lZwNXXw0cOABMnCgKQnrxNs9whSsNVK4MzJolpmfOFEmYGU9ZFTYq4t13ReIFRAU8Trz669NHnIABcQLOyZEbj7/Ro8JiRb32mki8deuKbW9knHw1ct99wG23iVLw+PGyo2FFaVHrMz8feOopMd2sGTB4sErBMq999hkQFCSOv0GDZEfjXywWi8djxXVMWSwWKXGdOgW4Qpo2DahWTUoY5afh82fD0LPCVUHbtikdv69dq+uiWSm0qvU5YoRS2WfTJjUiZb5wDXoSFER05IjsaPyLEbupfPxxsb07dpQzxjNXuPJA72e+BQ0fDrz5pmiHuGkTIOmikBVQVoUNp9Pp9a2zM2fEra78fKB7d2DlSpWCZRV2+TJQvbq47XzttcDmzbIj8i9aVVisiE2bgI4dxaXv+vVATIz+MXCFKw9kJt+zZ0UFnNRU0fjfkI29mc9uuQX45RfxjPfMGXHSZ/K9+CLwwgti+ttvgTvvlBuPmrS4iPSWFhUWvUUEdOkC/PYb8L//Ae+/LyUMrnBlNFFRoqcVQDQ/Sk2VGQ3Twm+/icQLiJq1nHiNY/JkoE4dMT1woNRQVCf72asWFRYr4qOPxDEYFiae9ZqGhrfADUPWM1+XnByi1q3F84ixY6WEwDTUsKHYtpGRcp41sdL9+KPyLD4pSXY06pL17NUoz3wvXSJq0EBs26lTdV10MdzDlQeyky8R0fffix0kJIRo715pYTCVvfaacmL/+GPZ0bCS3HCD2EaVKokhQP2J3gMlGKmbysREsV0bNya6fFm3xXrEFa48kPnMt6C77hLPnXr1Ar75RloYTCU5OUBkJJCZCVx5JbBrl+yIWEmOHQMaNxaXSb17A19+KTsiden57NUIz5oB4OhRoFUr0Zzsk0+UjlVk8TrPaHopYBBGKPkSEe3bp3T8vmKF1FCYCh57TCn17t4tOxpWlgEDlO21c6fsaNTjT0MEeqNvX7Etb73VGIPY8JCCBtayJTBqlJgeMwbIzZUbD6u4o0eBJUvE9L33iu5EmbG99RYQGiqmZZeS1OJPQwR645dfREWr4GDglVdEhyqmo/HFgCEYpeRLRJSaShQVJa7Y5syRHQ2rqOuuE9vQahWVPpg5vP66Uvpdtkx2NL4x0rNXPeXlEXXoILbhk0/KjkbBJV+Di4hQOvtOShLtgJm5fPed0mFDfLxo4sDMYeRIoFEjMf3kk6JTFLNyOp0eO7aIj4+H3W6H0+mUFJm2Fi8GtmwR51IzF/C5wpUETidw/fVi6Llhw4D582VHxLxRp47oSKN2beD0adnRMG+lpACdO4vpsWOVQVCY8aWlicd3Z84As2eLx3dGwZ1smIDFIka8AcRzqG3b5MbDys/hEAc+IEYwYuYTEwPcequYfvVV4Px5ufGw8ps6VRx/rVqJuxhmxslXkltuAR56SNz2Gj1aPIVixnb5sjj4AeC664AePeTGwyru00/FRbDTKY5DZnz79yuFljlzAKtVbjy+4uQr0YwZYuzftWuBzz+XHQ0ry//+J9r2BgWJIet8YeQxUQNBrVpi0BMAWLUK2LhRbjysbOPGiRYiPXuKH7Pj5CtR48bAc8+J6WefFY3FmTHt2QN88YWY/t//xLbzhex+eZkoRbnGfOXSr7H98APw9ddi4JLZs2VHo44Q2QEEuuefB955BzhyROxUkybJjoh54moXGhoKLFzo+/xcNVQTEhIAiJqrv/zyC1avXl2sBquevQYFkuBgYN484LHHxPH31lvA0KGyo2JF5eYqFauefhpo3VpuPKrRtOGTQRipna8nH3wg2qxVqUJ0/LjsaFhRH3+stA197TV15+1qk2mxWAgAxcbGenzf39psJiYmlvid7HY7JSYm6hZLixbK8Zebq9tiWTm9+qrYPrVqEV24IDuakvHACh4YPfnm5xN17ix2sMcekx0NK8jpFKMVAWL0FC24ugV0JWBfRooxUlIrjZE6iNi2Tbm4euIJ3RbLyuHsWeX4W7BAdjSl4+TrgdGTLxHRxo3KCSAlRXY0zOW555Tt8ssv6s+/aL+8sbGxPvXTa6SkVhajDEtHRHTnnWIbBwcTnTih++JZCUaMENulXTvRs5WRcfL1wAzJl4ho4ECxo3XsyOPCGsGFC8pAGF26qD//kpKPqwRstVpVna+REq+LUQYFSEtTtvWNN0oJgRWxfbu4GAKI1qyRHU3ZOPl6YJbk+88/RFWrip3tvfdkR8Nuv10pDZ0+re68S0qIrpJv0VvQFZ2/7KRWHq4YK3qxoZZJk5S7HGY42fuz/Hyi224T2+KBB2RHUz6cfD0wS/IlIpo2Texwdev636DfZlLwMcCIEerP39OzWVfCjI2Ndb/vS+I0SlIrjZEuEpxOoho1lOOPyfP552I72GxEhw/LjqZ8OPl6YKbkm5VF1Ly52PEmTZIdTeBq1kxsg2rV9HkEoPazWiMltZIY8fb4l18qF10zZkgLI6BlZhI1bSq2wQsvyI6m/Dj5emCm5EuknABsNqKDB2VHE3gWLlROwIsX67NMNWspGzGpFWXkimFt2yrHX2amtDACVnKyWP/16pnr7h8nXw/Mlnzz84m6dRM74P33y44msOTmivaeANEVV8iOxrPSErXrmbERk1pBRm4SdeAAUVCQ2Af69pUWRkA6cUI5/t5/X3Y03uHk64HZki8R0Y4dSk2/1atlRxM4nnxSKfVu2SI7Gs/KKjUW7aij4PtGaedrdA8+KPaBoCCRjJk+BgxQapybrcUHJ18PzJh8iYhGjhQ7Ytu23POOHk6eVC54evSQHU3pzHBr2cwyM8VtZ1cbU6a9DRuUC98NG2RH4z1Ovh6YNfn++y9R9epiZ5w/X3Y0/s/Vy1hIiGj3aXRmqFRlZjNmKMlg+XLZ0fi3/HxR2gVE6deMvM0zQUT+P5Jseno6IiIikJaWhvDwcNnheOX110Vn4jVrivEsq1eXHZF/WrdOGWB9wgQgOVluPOVls9mQk5MDq9WK7Oxs2eH4nbp1gVOngBo1gLNnxWAMTH0ffCBGC6tSBfjrL6BePdkRec/bPMO7ksENGwZceSVw7hwwZYrsaPzXo4+K39WrAy++KDeW8nI4HO7Em5OTU+L4wKziliwRv8+fBxIT5cbiry5eBMaPF9OTJ5sz8VYEJ1+DCwkBXnlFTL/xhhhXlqlr9mzgxAkx/X//Z47SjWvcX7vdjuzsbNjtdo/jAzPfdOsGdOokpqdPF4mCqWv6dOCff4CmTZWhAwOCpjfBDcKsz3wLuuce8TwkLk48H2HqyMwkqlxZrNtrrpEdTfkYuY2sPzpxQqmI16uX7Gj8y+HDSsW2zz+XHY1vvM0zJrjGZwAwaxZQqRLwww9Av35JJZZwHA6HLoOuJyXJj0ENjz8OZGUBQUHAZ5/JjqZ8nE4n7HY74uPjC70eHx8Pu90Op9MpKTL/VK8eMGiQmP72W2DnTrnx+JPnngOys4HbbgPuvVd2NDrT+GLAEPyh5EtENH68uEKsUUN+yccfSl+HDimdKfTpIzsaZmS5uURhYWJfadlSdjT+Ye1aZeCSbdtkR+M7bmrkgb8k37Q0ojp1XO1Qy27nqXUvQmZva9q+vdKN4KVLsqNhRvfmm0rToyVLZEdjbnl5ov00QDR8uOxo1MHJ1wN/Sb5ERP/3f2KHDQ8nev750tt56lE6NWtb06+/Vk6kycmyo2Fm0bixcvyZrQcmb2h94b5ggViPkZFEZ8/6NCvD4OTrgT8lX6eT6LrrxI47ZEjZw8bpUTo1w9B1BTmdRDVrinUYHS07GmYmf/yhXLQ984zsaLSj5YX7hQtEtWqJdfjqqz4GaiCcfD3wp+RLRPTrr64TQPlKnVqWTs1Y8k1MVE6gP/4oOxpmNrGxYt+xWPyn1OaJVhfuY8aI9demDVFOjhqRGoPfJt/XX3+dGjduTDabjTp27EgbvOj809+SLxHRNdeIA6FxYzvl55d9YGhROjXjM9+MDKJKlcTBf8MNsqNhZnTunEi8AFHXrrKj0ZbaF9d794ruWwGi779XKUiD8Mvku2zZMrJarfTOO+/Qrl27aMiQIRQZGUmnT58u1//7W/J1HRAhIXYCiD7+uPDrJd0qUrN0atbaznffrYxWc+yY7GiM69gxMZoWryPPRo9W7p78/rvsaLSl5oX7nXeKdXbXXSoEZjB+mXw7duxII0eOdP/tdDqpXr16lFzOmjL+lnxdlSGSksSO3KgR0eXL4r2ilSG0Kp0aeTzWkuzcqZwwBw6UHY1xLVyodCoRHCz+ZoU5naLSFSAqYfkrNS/cv/1WrK9KlYj27VMxSIPwu4EVcnJyEBYWhk8//RT3FmiFPWDAAKSmpmL58uXF/ic7O7tQJ/Pp6elo2LChKQdWKM3ly0Dz5qLj96Ag8VMQkQNECQgKsiMoKL7M1/1dfr4ynZsruu5khR0/DjRuXHhdWSzAkSNAgwbSwjKkpUuVPsE9HX9qyc9PQlCQxeOxKo5lJ4KDk1RfbtHzhC/nDddlLwCMGqV0metPvB1YwfCnn3///RdOpxN16tQp9HqdOnWwd+9ej/+TnJyMKQEwCkFoqBgI4NSpwju3wgnADqL4Iu+JA4fI6eF//F94OCfekuzfXzjxAoDTCRw4wMm3qHbtlGnPx59aLCBK+G/+BZOeA0ACAHuxbeY7Zd7K+cN13vAUS/k1a6ZOhGbnl6egiRMnYuzYse6/XSVff/PJJ2KghcqVgfnzgapVi34iqZT/DpwSr8tvv4kr7vR04M03xYhR5ZGUlASLxVKsO0dAdKXpdDpN051mWVq0EANLFC35XnGFvJi0oMY27dNH/LbZgHffFetJG/H49FPgo48S0Lcv8MAD8fj0U8d/f9vxwAPqH8sff+xEcLCneYtY8vOdeOgh7+b5+efibsGLLwIDB4qL4ICm6U1wFWRnZ5PFYqEvvvii0Ov9+/ene+65p1zz8LdnvkTiGW+jRuJ6e8oU2dGYR8uWYp2FhYkuA8vDrJXLKmrhQqU2r8Xin898fd2my5Yp9Qdef13LSIvHZqZmfQVlZyvH33PPyY5GfX5b4eqpp55y/+10Oql+/foBW+GKiMhuFztxw4bcNaI3duxQTpqDB5f//8zYrMoXx44RrVnj37WdK7pNnU6iiAjl+NOT2Tq0Keqbb5RKV3/9JTsadfll8l22bBnZbDZavHgx7d69m4YOHUqRkZF06tSpcv2/vyXfo0eJQkPFTrxsmexozKdXL6UmrzfJxewlD1ZcRbbp2LHKBdz69ToE+R9/2P/y84l69BDrrpw3Lk3DL5MvEdHcuXOpUaNGZLVaqWPHjvS7F43r/C35Pvqo2HlvvpnH9q2Igh1tdOrk3f+aveTBivNmmxbsYOPWW7WPzcWf7rzs3q10tPHDD7KjUY/fJl9f+FPydXUtGRREtHmz7GjMKz5eKb389FP5/scfSh6sMG+3abdu+nct6Y91DlydlFx5pf90McnJ1wN/Sb4FB1V44gnZ0Zibt4Mr+FPJgwnebtONG5ULtgJVUDRnxg5tynL+vDK4wmuvyY5GHZx8PfCX5LtokdhZq1UjKufjblaK5cuVk+n06SV/zh9LHv7Al6RUkW3atKly/PnzcIJ6mT9frM/q1Yn+/Vd2NL7zNs8Eq952iWkiPR2YMEFMJyQARfocYRVwzz1KRwkJCUBWlufPOZ1O2O32Ym1C4+PjYbfb4XQ6NY6UeWKxWJCQkACHw1HodYfDgYSEBFhKaXjr7TZ96y3g8GExPW+eaAvNfDNkCNC2LXDhApCYKDsaCTS+GDAEfyj5Pv+8uEps0UK0l2PqOHRIPD8HiB58UHY0zFt6PA7IzSWqUkU5/ph6Vq9WWh5s3y47Gt/wbWcPzJ589+8nslrFTvr117Kj8T8PP6xUYvO3toeBQOuKcEOGKI8ntm1TddaMiPr0Ees2NtbcrTf8bmAFNXjb4bXR3HsvsHw5cMcdwPffa9eBe6DKyhJ9ZGdlAddcA2zfLjsi5i2bzYacnBxYrdZCg6r46p9/gIYNRXebPXsCK1aoNmv2n8OHgTZtgOxs4IsvxPnOjLzNM/zkwuB++kkkXosFmDOHE68WKlcGpk4V0zt2iPXNzMPhcLgTb05OTrFnwL544AGReENCgGXLVJstK6BpU2DcODE9bpxIwoGAk6+B5eUBo0eL6ZEjgSuvlBqOXxs3DqhbV0w//njxkX2YMbkqV9ntdmRnZ8Nut3ushFURa9cCKSlievx4HghASxMniuPv0CH/HG7QI01vghuEWZ/5vv66eBZSs6ZoF8e0tWaN8mxv0iTZ0bCyaN0ErG5dsS/UqMFNi/Tw3ntifVetSvTPP7Kj8R43NfIT584BrlYQDod4Jsm01bUrEBMjpmfMEM27mHFp2QTs5ZeBkyfF9DvvcNMiPfTrB3TqBFy8CEyaJDsa7XGFK4N6+mng9deBq68Gtmzhwd/1whVsWFYWEBkpnj22bQts2yY7osCxYQNw441i+o8/gBtukBuPN7jClR/YtQuYP19Mv/IKJ1491asHDB4spr/7jms+B6JBg0TiDQoSA8Az/XTqBPTvL6ZHjRIPgfwVJ1+DIQLGjAGcTuC++4Bu3YCkpKQSK5A4HA4kJSXpG6SfmzcPqFJFTD/wgNxYmL4OHgQ++khMP/AA0Ly53HgCUXKyOP5SUoClS2VHox1Ovgbz9dfAypWA1SqeOwG+daPHvBcSAsyeLab37wfee09uPEw/ffqIC2Cbjbe7LPXqKc98x48HLl2SG49mNK3+ZRBmqe2clUXUvLmo8TdxYuH31OpGzx9HSNEKd6QfWAoOtDFjhuxoAltmJlGTJmJbxMfLjqZ8uHtJD8ySfKdPV4a4S08v/r4a3ejxCD3lJ2sIOb3whZjC2yEmmfY++0xsj8qViY4ckR1N2Tj5emCG5HvypChhAUSLF5f8OVfitVqtFV4Wj01bft27K4OnnzkjOxp18YWYIj5eudD66SfZ0TAi0c/zbbeJbfLQQ7KjKRsnXw/MkHwff1zsZDfcUPItTjU7kNe6M3p/ce6cSLwA0a23yo5GfXwhRpSRQVSpktjGnTrJjoa5JCYm0ogRdgoOFtvm55+V94x4Z4aTrwdGT74bNyrD2q1f7/kzWpwk1ShFB4KxY5VSUUnbx8wC/UKsVy9lWLsTJ2RHw1xc++UNN9gJIGrfnigvz7gXiJx8PTBy8s3PJ+rcWRz8//uf589ocXsw0E+43nA6iSIixDZq2FB2NNoI1AuxHTuUC6vBg2VHw4pynacqVxYJ+J57jJl4iTj5emTk5Pvhh+LADwsjOn7c82fUrhjjayk6ECvqLFumnKTnzpUdjboC+UKsZUvl+MvNLfvzgbjvy+baPwGxf06aZMz9k5OvB0ZNvpcuETVoIA5+h0OfZapRig7Uijpt2ohtFRpKlJ0tOxp1BPIz3yVLlAuqN98s3/8E6r6vh9IubCwWizsBjxunc2DlxMnXA6Mm38REceA3bkx0+bJey1Tnyj0QT9q7dysn6/79ZUfju0BOJE4nUXi4cvx5IxD3fT2UtB5jY2MJAAUHW/77bae9eyUFWQpOvh4YMfn+/bdovwYQffKJ7GgqJhBvV/buLbZZUJDYhmYWyLdQn3lGuZD64w/v/z8Q9309FE3ArsQbGxtLREQtW4r3W7Y03vrm5OuBEZNv375K85X8fNnRVFygVdTJyCCyWsW2u/562dHow9+S9NmzSvOx/87pFRJo+75eXAnYdas5tsBG2rePKDhYvP/YY8ZKwDyerwn88ovovD0oSIxaFBQkO6KKcTgcyMnJgdVqRU5OTomDP/iTqlWByZPF9KZNwI8/yo1HD/7Wt/hDD4mBSywW4JNPKjaPQNz39RIfHw+r1Qqn0wmLxYJVq1a532vZEhgzJh6AHStWOJGbKy9On2l8MWAIRir55uURRUcnEmCnoUOLv2+WkkSgP/eKihIlpzp1ZEeiD3/Z3r//rtxuHj26YvPwl3VhVGXd0k9NVY6/V16RFKQHfNvZAyMl34ULiQCxcz3/vDkrugRyRR2XFSuUk/jUqbKj0Yc/POds3Fhss/Dwig2Wwfu+tsp7YfP222I7RkQYp9tXTr4eGCX5pqYS1a4tdpoePcx79exvzwAr6tprxba0WkWzMTPydlua+TnnG28oF0wffqi87s064H1fO95c2OTliR6vAKJhw/SO1DNOvh4YJfk++6zYWVq1Eu1ESypJGP0AN3p8ejlyROkW9P77ZUdTMd6c8Mxc8s3NFR1pAEStWxd+j0uzxuDteeXnn5VuQbdt0yHAMnDy9cAIyfevv5TO27/9VnndU0nC6CcDo8enp379lKZHRmx7WB7ludVn9uecgwYppd6dO4u/b/bvF6geekhs09tuk99qhJOvB0ZIvnffLXaSnj2V10orSRj9ZGD0+PSSna20177qKtnRVJw3+2JZrxvNsWPkHhnn7rtL/pyZS/aB6sgR5fj77DO5sXDy9UB28v3+e7FzhIQQ7dkjXvOmtGHUk4HR49PLK68opapPP5UdTcWV9DzX7I8ZOnYkAhIpONhOGRnF3y/4Hcz8TDtQJSSIY69JE6LMTHlxcPL1QGbyzclR+gQeM0a85k1JwugnA6PH5wtvkk79+mIbR0ZWrBatbP56IbVypevCqOxjzl/Xgb+7eFE5/l58UV4cnHw9kJl8X31V7BS1ahFduCBeK+9J3egnA6PH5ytvLpJ++UUp/Y4fr3ekvvHnRwjR0crxN2VKyd/Tn9dBIPjgA7Gdq1SRNyYzJ18PZCXfs2dFSQhejJriYvSTgdHjU4s33/Pmm5XHC64LLaMz+/Pc0iQnKxdEX38tXvN0wejP6yBQFBwXXdagJ5x8PZCVfEeMEDtD27aiXVp5Gf1kYPT41FbeEv7p00rFnrg4nYOsILM/zy1JZiaRzSa2Rfv2hd8r+qjEX9dBoNm4UbnY+v13/ZfPydcDGcl3+3blRLxmjXf/a/STgdHj00J5n20PH66cADZv1ik4VswDDyhNwA4dUl43yqOSQDyG9OBqUtapk/51Lzj5eqB38s3PF+3OAHESYObmzQnb6SSqWlVs++bNdQySuf31l9L5ySOPKK8b6VFJoN090svJk8rx9957+i6bk68Heiffzz8XG99mIzp8WJdFMo1U5IS9aJFS+n3nHZ0CZW7XXCPWfeXKoh02kTGTnZEuBvzJtGli+9etSx6blmmFk68HeibfzEyiZs3Exp88WfPFMQ35csJu3lzsA1Wreve8n/nGdeELEM2apbxu1Nu8RrkN7k+yspTjT89zsLd5JoiICH4uPT0dERERSEtLQ3h4uKbLmjYNmDgRqFcP2LdPjP/KzCkpKQkWiwXx8fHF3nM4HHA6nUhKSvL4v1u3Ah06iOlhw4D587WLkwn5+UCtWsCFC+L4O3FCdkTlY7PZ3GMDZ2dnyw7HLyxfDtx7L2CzAXv2AE2bar9Mr/OMppcCBqFXyffECdHODCB6/31NF8VMIC5O6fj95EnZ0fi/iROVUu/atbKjKR8u+WojP5+oe3exL/Tpo88yvc0zwdpeCwSWSZOAS5eAG28EHn1UdjRMtmXLgJAQUSJ74AHZ0fi39HRg5kwx3bkzcOutcuMpD4fDgYSEBNjtdmRnZ8NutyMhIQEOh0N2aKYXFATMmQNYLMBnnwFr1siOyAONLwYMQY+S74YNylX3hg2aLYaZzPjxyn6xbp3saPxXz57mustgxApgWpD9rH3kyIr1tVARXPKVgAgYNUpM9+8PdOwoNx5mHMnJQPXqYprvhmhj+3bgu+/E9BNPANHRcuMpD6fTCbvdXqw+QXx8POx2O5xOp6TI1GWxWDyW5l2lfovFounyp0wRx9/27cDChZouynvaXgsYg9Yl3yVL5Pcryozr00+V0u+cObKj8T8tWijHX26u7GhYUVo2qSpPyXruXLF/1KxJdP68z4ssETc18kDL5JuRQVSvnti4L72k+uyZn7j66uJtT5nvFi9WLmwWLpQdDSuJVhXLynP7PjdXjLUNEI0ercpiPeLk64GWyfeFF8RGbdpU7liS/kD28yEtFex1qV8/2dH4B6eTqFo1sU6bNZMdDSuLVsOPlqdk7RpaMiSEaPduVRfvxsnXA62S7+HDSuftn3+u6qwDkr9XQunTR+lvmHs+852rMg0gOtVnxqV1k6ryzP+ee8S+0qOHqot24+TrgVbJ98EHxca87TbRroz5zp+73Lt0ichqFfvMtdfKjsbcTp8msljEuuzeXXY0rDR6HdNllaz37yeqVEnsM99+q+qiiYiTr0daJN+1a5WmDdu2qTZbRv7d8cDUqUppbcUK2dGY1y23KLcRtaxEw3yj192s8p4zXE3/WrZUv+4FJ18P1E6+eXlE7dqJjTh8uCqzZEVo9XzICOrUEftOVJTsSMzp11+VC5hnn5UdDSuNHvU4vClZp6Upx1/Bvr/VYKrk27hxYwJQ6Cc5ObnQZ7Zt20Y333wz2Ww2atCgAU2fPt3r5aidfBcsEBsvMpLo7FlVZimdkSo7+XPJl4joxx+V5JGUJDsa82nYUDn+9B6zlRlLRUrW77wj9p/wcPH4Qi2mS752u51Onjzp/rl48aL7/bS0NKpTpw7169ePdu7cSUuXLqXQ0FBasGCBV8tRM/leuEBUq5bYeK++6vPsDMMolZ38+ZlvQTfcIPahSpWICuzyrAyvvaZcuHz0kexomGwVKTQ4nUTXXSf2oSFD1IvFdMl3Tim9DsybN4+qV69O2QVuzj///PPUqlUrr5ajZvIdO1ZstDZtiHJyfJ6doaiZ+I4dI1q9Wvyu6PLLet3Mjh5Vmh717i07GnPIziYKDRXr7MorZUdjbBU5/gKJ69FFUBDRli3qzNNUQwo2adIEWVlZyM3NRaNGjfDoo49izJgxCAkJAQD0798f6enp+PLLL93/s2bNGsTGxuL8+fOo7uq3rwxqDSm4bx9w9dVAXh7w/fdAXFyFZ2VYrm7frFYrcnJyPHaBV5b/+z9g6FAxoEBwMPDWW8DgwWX/ny9D+JnRwIHAu++K6REjePjJsixbBhw9KqZ37wbatJEbj1FV9Pgrib8el48+CixdCtxyC7B2rRiMwRemGlJw1qxZtGbNGtq2bRvNnz+fIiMjacyYMe73b7/9dho6dGih/9m1axcBoN2ltJTOysqitLQ098+xY8dUKfkOGyaulrp29Wk2hudLZadjx0QNcNetQUA0CeEr8OKys5XmMvxT/p+rrpK95YxLi+PPX+9IHTmirKOUFN/n523JN8S3XF/chAkTMH369FI/s2fPHrRu3Rpjx451v9a2bVtYrVY8+eSTSE5Ohs1mq3AMycnJmDJlSoX/vyQ33AC8+SawZQtw9iwQFaX6IqRzOBzugb1zcnLgcDi8Kvnu3y+uuAtyOoEDB4AGDVQO1uRWrRLrBgAqVwYqVZIbj5Hl5QGZmWL66FGlVMcK0+L4cx3/CQkJ7r8LDofo7Z0xo/jpJ/E7IgJo0UJCAL7n+8LOnDlDe/bsKfUnu4QGVjt37iQAtHfvXiIieuyxx6h3kQdiq1evJgB0vpTGfVqVfPPyiDp0EFdKTz7p06wMSY1nvlzyLb/atcX6qV1bdiTmsH69sk8VuEHGCtDy+POnVgipqcrxp9ZgJ6aqcFXUkiVLKDg42J1YXRWucgrUbJo4caLUClfr1imda2zd6vPsDEPNW0sLFyq3Uy0W43R4b6TmVA6HcnL87jvdFmt6t96q7FfnzimvG2nbyqbl8ecv7e+ffVasn1at1Ks4a5rku379epozZw5t3bqVDh48SEuWLKGoqCjq37+/+zOpqalUp04deuyxx2jnzp20bNkyCgsLk9rUiIjooYeUZ7/+0q2k2ievY8eI1qwxVonXKM+uCnYzed11uizSb5w9qySWbt2U142ybY1Ci+PPX0q+f/2ldDOpZi9zpkm+mzdvpk6dOlFERARVrlyZ2rRpQy+99BJlZWUV+lzBTjbq169P06ZN83pZaiffI0fE0HCAGKuVmYcR2hHfd5/SzOHIEd0W6zeeflq5a/DHH8rrRti2/sqf1u3dd4t958471Z2vaZKvnrTo2zkhQWzAJk2ILl9WbbZMBzKv4HfvVhLHY4/ptli/UnAowSZNCr/nL6UzI/Gnuwrffy/2m5AQov+qFqnGVO189aJWO9+CLl0CWrcGjh8Hpk4FJk9WZbZMJzabzV2rOzs7W7flXnWVaKMaGgqkpgJWq26L9itLlgCPPSamFywQ7VpdZG1bf+Uv7Xxzc4F27YA9e4CxY4FZs9Sdv6na+epFqyEFP/hAXEVVqUJ0/Liqs2YaklU6+uQTpdT72mu6LNKvtWihHH+5ueI1Lvmykrz6qthfatUS3QSrjW87e6BV8s3PJ+rcmW8hmomsZ1dOpxgIACBq0EDTRQWMbduUi5knnvCv55Jl4drd3jl7Vjn+vKyvW26cfD3QKvkSEW3cqG4vKUw7BU/GBU9enk7aap+8nntO2U9++UXVWQe0O+90VV7zn+eS5eFPz2H1MGKE2E/atRP9NWiBk68HWiZfIqJBg8SG7diRhzgzsvIkXC1OXhcuiAoeAFGXLqrNVlNmKVmlpbmajSRSgwbGj1dNgVTS98X27UrHI2vXarccTr4eaJ18T54kqlpVbNx339VkEUwDep28br9d6fBAzfFDtWSmktXkycpdhVWrZEejL399xq3WxV9+PtFtt4l948EHVQzQA06+HmidfImIpk0TG7huXaKMDM0Ww1Sm9clr82YlMYwYoeqsNWeWkpXTSVSjhnL8BRp/6XWqILUu/j7/XOwXNhvR4cMaBFoAJ18P9Ei+WVlEzZuLDT1pkmaLYRrQ8uTVrJnYJ6pVM+cjCbOUrL78UrnImTFDdjT6Mcv2qQhfL/4yM5Xj74UXtIxU4OTrgR7Jl0g5AdhsRAcParoophItT14LFyoJYfFideYp41msWUpWbdsqx19mpuxotGeWOxO+8OX4TE4W+0P9+kQXL2oY5H84+XqgV/LNzyfq3l1s8Pvv13RRTAVanrxyc0X7U4Doiit8np2b3s9izVSyOnBAdNkJEPXtKzsabZW1H3Tt2tUUFebKoyIXfydOKMffkiUaBlcAJ18P9Eq+REQ7digdv69erfniWAVpncSefFIp9ao9+pVeJR4zlqxcg54EBYlk7K/KugPStWtX01SYK01FL/4GDBD7QUyMfoPfcPL1QM/kS0Q0cqTY8G3bKj3vMGPR8vbtyZOupg2JdMUV2ixD6xKpmWo7F5SZKW47u9p0BjIzXjwVVNH4N2zwPPCG1jj5eqB38v33X6Lq1cXGnz9fl0UyA7npJteYz9omMC2fxZqlna8nM2YoJ9/ly2VHI5eZHhsUVNGLv/x8ohtvFNt+wAAdAi2Ak68HeidfIqK5c8UOULMm0fnzZX/ezCc7pvj5Z+XEP2GCdqUPs55U9VK3rtgGNWqYs5a5msxSYa6gip4PlywR271qVaJ//tEwQA84+XogI/nm5hJddZXYEUaNKvvzZr3NxwqrX7/4SV/tRGn224l6WLVKuQjSo5mJUQXSRVpGBlG9emKbJyfrv3xOvh7ISL5ERCtXKj0b7d5d9uf5pGpus2YpJ/zPPy/8nlqlD75IKz/X7cdKlUQ3lIEm0M4nL7wgtnfTpnKamnHy9UBW8iUiuucesUPExZWv1l0gXan6k8xMosqVxba+5prC76m5TfnxRPmdOKH06durl+xo9BVoF2mHDysV7Ype+OqFk68HMpPv/v2ujt+JvvmmfP9jxmc0ge6RR5QmLn/9pbweaKUPoxk8WLkbsWOH7Gj0E2gXaQ88ILZxbKx+TYuK4uTrgczkS0Q0frzYMVq0IMrOLv2zXPI1n0OHlM4dHnhAeT3QSh9GlJtLFBYmtk3LlrKjYVpYu9bVukCMYCSLt3kmGExzkycDdeoA+/cDc+eW/DmHw4GEhATY7XZkZ2fDbrcjISEBDodDv2CZ1/r0EWUrmw147z3ldafTCbvdjvj4+EKfj4+Ph91uh9Pp1DnSwBMSAsyZI6b/+gtYskRuPExdTicwapSYHjYMuOYaufF4ReOLAUOQXfIlInrnHXF1Fh7ueVg5LiWZ09dfK7c1ZdSwZOXTpIm5B7hgni1YILZrZCTR2bNyY+GSr0ENGABcdx2Qng688ELx97mUZD75+cDAgWI6OhqYMEFqOKwUH38sfmdkAGPGyI2FqSM1VdxVBIApU4BataSG47UgIiLZQWgtPT0dERERSEtLQ3h4uLQ4fvsNuPlmICgI2LwZ6NBBWihMBUlJ4qAHgJ9+Arp1kxoOK0O3bsDq1YDFApw6Zb6TNSts7FjxSKFNG2DbNqBSJbnxeJtnuOSro5tuAh55RNykHDVK/GbmdPEi8NJLYrpjR068ZvDJJyLxOp3Agw/Kjob5Yt8+pf7MnDnyE29FcPLV2fTpQGgo8Msv4mTAzKlfPyA3FwgOBj77THY0rDxq1ACeeUZMr10LpKRIDYf5YOxYIC8PuPtuIC5OdjQVw8lXZw0bKs8Gn3sOyMyUGw/z3q5dwFdfien+/YEGDeTGw8rv5ZeBiAgx/fDDcmNhFbNihfipVAmYNUt2NBXHyVeCZ58VSfjoUXEyYObywAPid1gY8PbbcmPxRlJSUonN1hwOB5KSkvQNSILgYGD+fDF99Cgwb57ceJh3cnJEqRcQj+5atJAbjy84+UoQFgbMnCmmk5OBY8fkxsPKb+lSYO9eMf3yy6IdqVlYLBaP7cZd7cstFoukyPT1yCNA69Zi+tlnxe1LZg5vvCGe99au7bnViKlo2vDJIIzQzreo/Hyim28WbdQefVR2NIpA65bOG06naKcNEDVqJDuaiuHuLoWdO5X22QMHyo6GlceZM0QREWKbLVwoO5riuHtJD4yYfImINm9WuiX89VfZ0Qjc2UfJxoxRTtgpKbKjqTjuwlRwDXoSFER07JjsaAJbeS76n3xSbK9rryXKy9M5wHLg5OuBUZMvEdETT4gd6rrrjNPzDpeOijt3TgwNCRB17So7Gt/x4B1i/FfXoCc33CA7msBW1kX/8OF2d0Fl3TpJQZaBk68HRk6+p06JLu8AokWLZEej4NJRYbGxytjMsrux8xVvW0VionI348cfZUcT2Eq66J8yxU633iq2Ud++cmMsDSdfD4ycfImIZs4UO1adOsYa9JtLR8KGDcoJ+plnZEfjG76rUZjTSVSrlti20dGyo2GeLgw/+URsn8qVif7+W3aEJePk64HRk292thhuECB6/nnZ0QhcOlK4OuUPDzfOo4GK4Of5nhUcHOOll2RHwwpe9F++rBx/Rq/ryQMrmJDVCsyeLabnzAEOHJAbDw9tqFiwADhyREzPmyfaiZoVD97h2V13Kf2sT5kCXL4sN55A5nA4kJOTA6vVipycHNx9twNHjoiObMaPlx2dyjS+GDAEo5d8iUTTozvuEFd4vXvLi4NLRwoeiD1wHDqktDzo00d2NIGp6Dnm2WfF34CdPvxQcnDl4G2eMVEXAf4tKEiUetu2BZYvF6PkdO+ufxyllY5c7weKYcOUUhD33+zfmjYV3U0uXQp8/jmwf7+5e08ym4J321znmlOnXOegBOzfDwDxJf27KfGQggYzahTw2mvAVVcBW7catwelpKQkWCyWYkkaEAeS0+k0dXeFx48DjRuLMXt79QK++UZ2RExrOTmi3+esLOCaa4Dt22VHFDiKnk9SUoDOnUWh5MknHahTx/jnE6/zjKblcIMww21nl/PniWrWFLe/Xn9ddjQl8/fb0506iW1QqZJoD8qMSe0e2WbNUipfffqpCgEyrzmdot01QPT447KjKT+u7eyBmZIvEdG8eWLHq16d6N9/ZUdTMn9ttrJqlXICjo+XHQ0rjRYXgfXrK8efmWu3m9W774r1X60a0cmTsqMpP06+Hpgt+ebmEl19tdgBn3pKdjSl88cmSXXrinVfsyaffM2grItAb0vHP/+sXHxNmKBp6KyI9HTl+Js+XXY03uHk64HZki8R0U8/KT0q7dwpO5rS+VNnHNOnKyfe5ctlR8PKq7SLwIqUjjt3FvtASIixOr7xdxMnivXevDlRVpbsaLzDydcDMyZfIqL77hM74u23i6ZIRuRPJd/MTCKbTazzdu1kR8O8VdpFoLePSE6eJAoOFvtCjx6ahs3+c/AgkdVq3gtfTr4emDX5Gn1n9Ldnvg8+qIxyc+iQ7GiYN8pzEejthaJrFB2AaMsWjQJnbmYobJSGk68HZk2+RMa9DWOk2s5q1Hg9cEDpZMHInbez4ry5CPTmEUluLlGVKmKfuOIK1cNmBbgqOZrhMVtJOPl6YObkm54uOnw3WgUEtZt4+EKNC4G2bcU6ttnE7WdmDt5s+4o8Ilm4UCn9Ll6seviMxEXONdeYo4JpaTj5emDm5EskDnozVr3Xky+3wL/8UjnBzpihdaRMTeW9CPRl/2jWTOwbVaty7XctuJpW1qghxs02K06+Hpg9+Zq10bneKlKycTrFQQ+IJg56MNJdg0Dg652RjRuVi7MRI7SMNPCcO2eOToXKg0c18kPBwcCrr4rpRYuATZvkxmNU8fHx7tFQrFarx64vi/8PcP68mP7wQ40D/I/FYvE4SpSrf1uLxaJPIAHC19Gcrr8euP12Mf3mm8CZM1pFGnimTAHOnRPd6T75pOxodKbxxYAhmL3k6/K//4krxM6dzVkbUGvelnzT0kT3kQBRTIxOQf7H32qK+7sLF0SbX4CoSxfZ0fiHXbtEBSuAaOVK2dH4jm87e+Avyff4cWWIOzMMsaWniiSzO+8U6zI4mOjECb0iVfhTG+lA8Oyzyu3nX3+VHY25GWUIVTVx8vXAX5IvEZHDIXbYBg2ILl2SHY0xVOSZ3rZtyon0iSf0irQ4f+odzN85nUSRkWKfadhQdjTm9vXXYj1arUT798uORh38zNfPjRsnhro7fhyYMUN2NMZQkWd6DzwgflepAsyfr0eUxTkcDvfz6ZycnGLPgJmxBAcDCxaI6WPHgLlz5cZjVjk5wJgxYnrMGOCKK+TGI43GFwOG4E8lXyKiTz4RV42VKxP9/bfsaMznvfeUUu+CBXJi4Ge+5nXllWLfCQ0lys6WHY35zJwp1l+dOqIfA39hmNvOU6dOpZiYGAoNDaWIiAiPn/n777/pzjvvpNDQUIqKiqJnn32WcnNzC31mzZo11KFDB7JardS8eXNatGiR17H4W/LNzye69VbujakinE7RXhogatJETgxG6h2MeW/3bqU3tMcekx2NuZw6RRQeLtbdO+/IjkZdhrntnJOTgwcffBDDhw/3+L7T6USvXr2Qk5OD9evX491338XixYuRkJDg/szhw4fRq1cv3Hbbbdi6dStGjx6NJ554Aj/88INWYZtCUBDwyivi90cfAb/8Ijsi8xg1CsjIENMffywnBl+bvujh+HFgzRrxmxXWpg3Qu7eYXrIEOHpUbjxm8sILQHo6cN11wIABsqORTOOLAVq0aJHHku+KFSsoODiYTp065X5t/vz5FB4eTtn/3csZP348XXXVVYX+r2/fvhQXF+dVDP5W8nUZOlRcQXboQJSXJzsa4zt7Vmna0K2b7GiMa+FCZUSf4GDxNyvs0iVl0JPrrpMdjTls3qzcMfjtN9nRqM/bPBMiK+mnpKTgmmuuQZ06ddyvxcXFYfjw4di1axc6dOiAlJQUdO/evdD/xcXFYfTo0aXOOzs7G9nZ2e6/09PTVY3dKKZOFSXfLVuAm28GqlWTHZGxrVypTMsq9Rrd8ePA0KFAfr74Oz9fdH4QFwc0aCA3NiMJCxMdtMTHA5s3AzfdJCrvMc+IgJ9+EtN9+wKdO8uNxwikJd9Tp04VSrwA3H+fOnWq1M+kp6cjMzMToaGhHuednJyMKVOmaBC1sURFAUlJosbg77/LjsY8WrUCatSQHYUx7d+vJF4XpxM4cICTb1Fjx4oemvLygPXrZUdjHsnJsiMwBq+S74QJEzB9+vRSP7Nnzx60bt3ap6B8NXHiRIwdO9b9d3p6Oho2bCgxIu2MGgW0aAGkpsqOxPh++AF4/33g4EHgr7+Ali1lR2Q8LVqIJjUFE7DFEsDNQUoxc6ZIvLVqiWZ/VqvsiIzt55/Fsde4sexIjMGr5Dtu3DgMHDiw1M80a9asXPOKjo7GH3/8Uei106dPu99z/Xa9VvAz4eHhJZZ6AcBms8Fms5UrDrMLCgJ69ZIdhTn06wf8+y/w3XeivfTXX8uOyHgaNADeekvcanY6ReJdsIBLvUUdPQq4yiFvvAE89JDceMygXz/ZERiLV8k3KioKUVFRqiw4JiYGL774Is6cOYPatWsDAFauXInw8HBceeWV7s+sWLGi0P+tXLkSMTExqsTAAs/s2eLZ7zffAN9/D/ToITsi4xk8WDzjPXBAlHg58Rb3/PNAZibQpQvw4IOyo2FmpFlTo6NHj2Lr1q04evQonE4ntm7diq1bt+LixYsAgDvuuANXXnklHnvsMWzbtg0//PADXnjhBYwcOdJdah02bBgOHTqE8ePHY+/evZg3bx4+/vhjjHF1j8KYl1q3Bp5+WkyPGQPk5sqNx6gaNAC6duXE68mvvwLLlom7Tq++Kn4z5jWtql0PGDCAABT7WbNmjfszR44coZ49e1JoaCjVqlWLxo0b57GTjfbt25PVaqVmzZpxJxvMZxcuENWqJZo8vPqq7GiYkRUde9npJLr2WlcTIx57mSkM08OVkXDyZUUtWCBOoJGRov0vY54U7XXs//5P7Dc2G/dGxgozTTtfxmQaPBiYNw/Ytg1ISBDTjBXl6oUsISEB2dnA22/HA3AgOzvBYy9ljJVXEBGR7CC0lp6ejoiICKSlpSE8PFx2OMwg1q4FbrtNNK3ZsgVo21ab5SQlJcFisXg8UTscDjidTiQlJWmzcKYKh8PxX9e3VgA5SEy0IymJEy9TeJtneEhBFrC6dhVDC+bnA6NHi154tGCxWJCQkFBsyEDXCd1isWizYKaahx+OhyvxhoRYOfEyn3HyZQFt5kzAZhODCHz5pTbLcA2YUDABuxIv37o0h7vvdgDIQVCQFXl5PPYyU4GmT6ANgitcsdK88IKoRNO0KVFmpnbLcVXesVqtXFnHRPr3F9stONhOu3fz0I/MM67t7AEnX1aaixeJ6tcXCfill7RdlivxWq1WbRfEVJGYaP+vmaSdRo9WXucEzIoyzHi+jJlFlSrAtGli+sUXgX/+0WY5DocDOTk5sFqtyMnhW5dmsGGDE4AdNWvGo8BQ44Yae5mZlMYXA4bAJV9WFqeT6MYbRem3f3/151+0pMQlJ+P791+i6tXFPjF/vuxomNFxO1/GKiA4WHQV2KkT8N57wMiRQMeO6szbU+Wqgu1HC/7NjCMxEbhwQTRBGzJEdjTM33DyZew/HTsCAwYA774LPPOMGKM1WIUHM06n02OtZtfffOvSeHbsAObPF9OvvCJGd2JMTdzJBmMFnDwpxvm9eFGM/fu//8mOiOmNCOjeHVi9GujTB/j0U9kRMTPgTjYY80HdusCkSWL6+edFEmaBZflykXhtNtEOnDEtcPJlrIgxY4CmTUWtZ1ct6LIkJSWVWHvZ4XBw95EmkZ0NjBsnpseNE/sBY1rg5MtYEZUrA7NmiemXXwYOHy77f7gLSf/wyivAoUPiDsjEibKjYf6MK1wx5sG99wKxseL24/jxwCeflP55T7WXuQtJczl5Epg6VUxPnw5UrSo3HubfuMIVYyXYsQNo314MvLBmjRiIoSyuhOvqSIMTr3kMGgQsXiyam6lV050FDm/zDCdfxkoxcqQY67dtW+DPP8vX5MRms7l7ssrOztY+SOazjRuVdt2//y4SMGPe4NrOjKloyhQgMhLYvh1YuLDsz3MXkuZDBIwaJaYfe4wTL9MHJ1/GSlGrlkjAAPDCC0BqasmfLfiMNzs7u9gwgsyYli4FUlJEH9/JybKjYYGCky9jZRg+HGjTBvj3X8Bu9/yZkrqQ5ARsbJcuiQp1gGjfXb++3HhY4ODazoyVoVIlYM4coEcPYO5cYOhQoHXrwp/hLiTNafp04MQJoEkTYOxY2dGwQMIVrhgrp3vuAb7+GujZE1ixQnY0zFd//y0uorKygM8+A+6/X3ZEzMy4whVjGpk1S5SCv/tOXvLVoietQO2da/x4kXi7dgXuu092NCzQcPJlrJxatFBqxY4ZA+Tk6B+DFj1pBWLvXOvWAR9/LNryvvIKEBQkOyIWcDQaV9hQvB3kmLGSpKYS1a4tBlifPVtODHa7nQCQ3W73+LdR5mlUeXlE7duLbThsmOxomL/wNs9w8mXMSwsXihN3RATR6dNyYnAlR6vVqlqS1GKeRvTWW2L7RUYSnTkjOxrmL7zNM1zhijEvOZ2iN6Q//xQ1nxcskBOHFj1p+XvvXGlp4vHB2bPidrPrMQJjvuIKV4xpzGIBXn1VTL/9NrB1q/4xaNGTViD0zuVwiMTbujUwYoTsaFhA07QcbhB825lpoW9fcfvylluI8vP1Wy4/862YvXuJQkLENvvuO9nRMH/Dz3w94OTLtPD330SVK4uT+ccf67PMkpKiL8lSi3kaUa9eYlv16iU7EuaPvM0z3MMVYxXUqBHw/POi7+fnngPuugsIDdV2mVr0pBUIvXN9/z3w7bdASAgwe7bsaBjjHq4Y88nly0CrVsDx4+J54gsvyI6IFZWbK4aE3LsXGDcOePll2RExf8QVrhjTUVgYMHOmmE5OFkmYGcu8eSLxRkUBRQr3jEnDyZcxH/XtC9x0kygFT5ggOxpW0NmzQGKimH7xRSAiQm48jLlw8mXMR0FBoulRUBDwwQdibFhmDAkJom1v+/bA44/LjoYxBSdfxlRw3XXAoEFietQoID9fbjwM2L4deOstMf3qq6J9NmNGwcmXMZW8+CJQrRqwcSPw/vuyo1GHWUc8IgJGjxYXQQ89BNxyi+yIGCuMky9jKomOVir0TJgAZGTou3wtEqVZRzz64gtgzRqgcmVgxgzZ0TBWHCdfxlT0zDPAFVcAp04BL72k77K1SJTx8fGw2+2F5uuan6e2wUaQlSWaFAGi/XXjxnLjYcwjTbv8MAju4Yrpafly0ZOS1Up04IC+y9aqm0gzjXj04oti/devT3TxouxoWKDgUY084E42mJ6IgLg4YOVK4L77gM8/V3f+SUlJsFgsHkudDocDq1evxtq1a90DJKhVQjXDiEf//AO0bAlcuiRqnj/6qOyIWKDgTjYYkywoCJgzR9Su/eILYNUqdedf1u3l2NhYd+K1Wq2qJF6zjHg0caJIvJ07A488IjsaxkqhaTncIPi2M5Ph6afF7c+rrybKzVV33qXdXlb7FrFZRjz6/XexvgGijRtlR8MCDY9q5AEnXybDuXNENWqIZPDGG+rP31OSVTtRmmXEI6eTqFMnsa4HDpQdDQtEnHw94OTLZHn9dZEQatQQyVhtrsRrtVo1SZSJiYkl/p/dbqfExMSKhK26994T67lqVaJ//pEdDQtEXOHKA65wxWTJyxNdG+7aBTz9NPDaa+rN2/WM1/UctmvXroiNjS2xIpbT6TRspxi+uHhRVLI6eRKYNk0M88iY3rjCFWMGEhIiujYExOg6u3erM9+CbW2zs7Nht9uxdu3aEj8fHx/vl4kXEAn35EmgeXPRqxVjZhAiOwDG/F23bsC99wJffimSww8/iBrRFeWpkwvX74SEhEJ/+7vDh5XxeWfNAmw2ufEwVl6cfBnTwcsvAytWiLa/33wD3H13xefldDo9tt11/e10On0J1VSeew7IzhYXOPfcIzsaxsqPn/kyppOJE8Ut0iuuAHbu5FKar9asAWJjgeBgYNs24OqrZUfEAhk/82XMoCZNEoMvHDigbsWrQOR0Ks93hw/nxMvMh5MvYzqpVg1IThbTDgdw+rTceMxs4UIxXm/16sCUKbKjYcx7nHwZ01H//sD114vhBidPlh2NOV24oKw7ux2oWVNuPIxVhGbJ98UXX0Tnzp0RFhaGyMhIj58JCgoq9rNs2bJCn1m7di2uvfZa2Gw2XHHFFVi8eLFWITOmueBg5ZbzO+8AmzfLjceM7Hbg3DngqquAYcNkR8NYxWiWfHNycvDggw9i+PDhpX5u0aJFOHnypPvn3nvvdb93+PBh9OrVC7fddhu2bt2K0aNH44knnsAPP/ygVdiMaS4mBujXT/RCPGqU+M3KZ88e4PXXxfScOaIdNWNmpNmuO+W/BzFllVQjIyMRHR3t8b0333wTTZs2xaxZswAAbdq0wa+//oo5c+YgLi5O1XgZ09O0aWLEo99+Az76CHj4YdkRmcPYsaLXsHvuAW6/XXY0jFWc9OvGkSNH4oknnkCzZs0wbNgwDBo0CEH/9UCQkpKC7t27F/p8XFwcRnM3NszkGjQAJkwAEhKA8eNFF5RciivdihXA99+L6f+uxxkzLamHu91uR2xsLMLCwvDjjz9ixIgRuHjxIp555hkAwKlTp1CnTp1C/1OnTh2kp6cjMzMToaGhHuebnZ1daLDv9PR07b4EYxX07LOi1u7Ro0CbNrKjMY977xVtpRkzM6+S74QJEzB9+vRSP7Nnzx60bt26XPMr2ENPhw4dcOnSJcycOdOdfCsqOTnZfdubMaMKDQUWLAAGDgQyM2VHY2wFr58DpOdM5ue8Sr7jxo3DwIEDS/1Ms2bNKhxMp06d4HA4kJ2dDZvNhujoaJwu0hjy9OnTCA8PL7HUCwATJ07E2LFj3X+np6ejYcOGFY6LMa306AGcOiU7CnMgEncJGjeWHQljvvMq+UZFRSEqKkqrWLB161ZUr14dtv/63YuJicGKFSsKfWblypWIiYkpdT42m809D8aYfwgK4sTL/Idmz3yPHj2K8+fP4+jRo3A6ndi6dSsA4IorrkDVqlXx9ddf4/Tp07jxxhtRuXJlrFy5Ei+99BKeffZZ9zyGDRuG119/HePHj8fjjz+O1atX4+OPP8a3336rVdiMMcaY5jQbWGHgwIF49913i72+Zs0adO3aFd9//z0mTpyIAwcOgIhwxRVXYPjw4RgyZAiCg5Xmx2vXrsWYMWOwe/duNGjQAPHx8WXe+i6KB1ZgjDGmJW/zDI9qxBhjjPmIRzVijDHGDI6TL2OMMaYzTr6MMcaYzjj5MsYYYzrj5MsYY4zpjJMvY4wxpjNOvowxxpjOOPkyxhhjOuPkyxhjjOmMky9jjDGmM06+jDHGmM44+TLGGGM602xIQSNxjR2Rnp4uORLGGGP+yJVfyjtWUUAk34yMDABAw4YNJUfCGGPMn2VkZCAiIqLMzwXEkIL5+fn4559/UK1aNQQFBZX62fT0dDRs2BDHjh0L2OEHA30dBPr3B3gdBPr3B3gdAN6tAyJCRkYG6tWrV2hM+pIERMk3ODgYDRo08Op/wsPDA3aHcwn0dRDo3x/gdRDo3x/gdQCUfx2Up8TrwhWuGGOMMZ1x8mWMMcZ0xsm3CJvNhsTERNhsNtmhSBPo6yDQvz/A6yDQvz/A6wDQdh0ERIUrxhhjzEi45MsYY4zpjJMvY4wxpjNOvowxxpjOOPkyxhhjOgvo5Pviiy+ic+fOCAsLQ2RkpMfPBAUFFftZtmxZoc+sXbsW1157LWw2G6644gosXrxY++BVUJ7vf/ToUfTq1QthYWGoXbs2nnvuOeTl5RX6jFm/vydNmjQptr2nTZtW6DPbt29Hly5dULlyZTRs2BAzZsyQFK023njjDTRp0gSVK1dGp06d8Mcff8gOSTNJSUnFtnfr1q3d72dlZWHkyJGoWbMmqlatij59+uD06dMSI/bNunXrcPfdd6NevXoICgrCl19+Weh9IkJCQgLq1q2L0NBQdO/eHfv37y/0mfPnz6Nfv34IDw9HZGQkBg8ejIsXL+r4LXxT1joYOHBgsX2iR48ehT6jxjoI6OSbk5ODBx98EMOHDy/1c4sWLcLJkyfdP/fee6/7vcOHD6NXr1647bbbsHXrVowePRpPPPEEfvjhB42j911Z39/pdKJXr17IycnB+vXr8e6772Lx4sVISEhwf8bM378kdru90PZ++umn3e+lp6fjjjvuQOPGjbF582bMnDkTSUlJeOuttyRGrJ6PPvoIY8eORWJiIv7880+0a9cOcXFxOHPmjOzQNHPVVVcV2t6//vqr+70xY8bg66+/xieffIKff/4Z//zzD+6//36J0frm0qVLaNeuHd544w2P78+YMQOvvfYa3nzzTWzYsAFVqlRBXFwcsrKy3J/p168fdu3ahZUrV+Kbb77BunXrMHToUL2+gs/KWgcA0KNHj0L7xNKlSwu9r8o6IEaLFi2iiIgIj+8BoC+++KLE/x0/fjxdddVVhV7r27cvxcXFqRihtkr6/itWrKDg4GA6deqU+7X58+dTeHg4ZWdnE5F/fP+CGjduTHPmzCnx/Xnz5lH16tXd35+I6Pnnn6dWrVrpEJ32OnbsSCNHjnT/7XQ6qV69epScnCwxKu0kJiZSu3btPL6XmppKlSpVok8++cT92p49ewgApaSk6BShdoqe2/Lz8yk6Oppmzpzpfi01NZVsNhstXbqUiIh2795NAGjjxo3uz3z33XcUFBREJ06c0C12tXg6vw8YMIB69+5d4v+otQ4CuuRbXiNHjkStWrXQsWNHvPPOO4WGjEpJSUH37t0LfT4uLg4pKSl6h6m6lJQUXHPNNahTp477tbi4OKSnp2PXrl3uz/jb9582bRpq1qyJDh06YObMmYVus6ekpOCWW26B1Wp1vxYXF4d9+/bhwoULMsJVTU5ODjZv3lxoewYHB6N79+6m3p5l2b9/P+rVq4dmzZqhX79+OHr0KABg8+bNyM3NLbQ+WrdujUaNGvnl+jh8+DBOnTpV6PtGRESgU6dO7u+bkpKCyMhIXH/99e7PdO/eHcHBwdiwYYPuMWtl7dq1qF27Nlq1aoXhw4fj3Llz7vfUWgcBMbCCL+x2O2JjYxEWFoYff/wRI0aMwMWLF/HMM88AAE6dOlUoOQFAnTp1kJ6ejszMTISGhsoIWxUlfTfXe6V9xqzf/5lnnsG1116LGjVqYP369Zg4cSJOnjyJ2bNnAxDft2nTpoX+p+A6qV69uu4xq+Xff/+F0+n0uD337t0rKSptderUCYsXL0arVq1w8uRJTJkyBV26dMHOnTtx6tQpWK3WYvUh6tSp497//YnrO3na/gWP99q1axd6PyQkBDVq1PCbddKjRw/cf//9aNq0KQ4ePIhJkyahZ8+eSElJgcViUW0d+F3ynTBhAqZPn17qZ/bs2VOoUkVp4uPj3dMdOnTApUuXMHPmTHfyNRq1v78/8GadjB071v1a27ZtYbVa8eSTTyI5OTmgu9nzVz179nRPt23bFp06dULjxo3x8ccfm+7Ckanj4Ycfdk9fc801aNu2LZo3b461a9eiW7duqi3H75LvuHHjMHDgwFI/06xZswrPv1OnTnA4HMjOzobNZkN0dHSx2o+nT59GeHi4lINXze8fHR1drKar67tGR0e7fxvp+3viyzrp1KkT8vLycOTIEbRq1arE7wso68SsatWqBYvF4vH7mf27lVdkZCRatmyJAwcO4Pbbb0dOTg5SU1MLlX79dX24vtPp06dRt25d9+unT59G+/bt3Z8pWvkuLy8P58+f98t1AohzQ61atXDgwAF069ZNtXXgd8k3KioKUVFRms1/69atqF69ursUFBMTgxUrVhT6zMqVKxETE6NZDKVR8/vHxMTgxRdfxJkzZ9y3WVauXInw8HBceeWV7s8Y6ft74ss62bp1K4KDg93fPyYmBpMnT0Zubi4qVaoEQHzfVq1amfqWMwBYrVZcd911WLVqlbtGf35+PlatWoWnnnpKbnA6uXjxIg4ePIjHHnsM1113HSpVqoRVq1ahT58+AIB9+/bh6NGjhtq/1dK0aVNER0dj1apV7mSbnp6ODRs2uFtExMTEIDU1FZs3b8Z1110HAFi9ejXy8/PRqVMnWaFr6vjx4zh37pz7gkS1deBl5TC/8vfff9OWLVtoypQpVLVqVdqyZQtt2bKFMjIyiIjoq6++orfffpt27NhB+/fvp3nz5lFYWBglJCS453Ho0CEKCwuj5557jvbs2UNvvPEGWSwW+v7772V9rXIr6/vn5eXR1VdfTXfccQdt3bqVvv/+e4qKiqKJEye652Hm71/U+vXrac6cObR161Y6ePAgLVmyhKKioqh///7uz6SmplKdOnXoscceo507d9KyZcsoLCyMFixYIDFy9SxbtoxsNhstXryYdu/eTUOHDqXIyMhCNd79ybhx42jt2rV0+PBh+u2336h79+5Uq1YtOnPmDBERDRs2jBo1akSrV6+mTZs2UUxMDMXExEiOuuIyMjLcxzkAmj17Nm3ZsoX+/vtvIiKaNm0aRUZG0vLly2n79u3Uu3dvatq0KWVmZrrn0aNHD+rQoQNt2LCBfv31V2rRogU98sgjsr6S10pbBxkZGfTss89SSkoKHT58mH766Se69tprqUWLFpSVleWehxrrIKCT74ABAwhAsZ81a9YQkag+3r59e6patSpVqVKF2rVrR2+++SY5nc5C81mzZg21b9+erFYrNWvWjBYtWqT/l6mAsr4/EdGRI0eoZ8+eFBoaSrVq1aJx48ZRbm5uofmY9fsXtXnzZurUqRNFRERQ5cqVqU2bNvTSSy8VOuiIiLZt20Y333wz2Ww2ql+/Pk2bNk1SxNqYO3cuNWrUiKxWK3Xs2JF+//132SFppm/fvlS3bl2yWq1Uv3596tu3Lx04cMD9fmZmJo0YMYKqV69OYWFhdN9999HJkyclRuybNWvWeDzmBwwYQESiuVF8fDzVqVOHbDYbdevWjfbt21doHufOnaNHHnmEqlatSuHh4TRo0CD3BbsZlLYOLl++THfccQdFRUVRpUqVqHHjxjRkyJBiF59qrAMeUpAxxhjTGbfzZYwxxnTGyZcxxhjTGSdfxhhjTGecfBljjDGdcfJljDHGdMbJlzHGGNMZJ1/GGGNMZ5x8GWOMMZ1x8mWMMcZ0xsmXMcYY0xknX8YYY0xnnHwZY4wxnf0/6o7jJcCnDmYAAAAASUVORK5CYII=", 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" ] }, "metadata": {} } ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Wraparound distance\n", "\n", "Regardless of the grid size, the users at the edge of the grid experience\n", "reduced interference. \n", "\n", "To eliminate border effects, the *wraparound* technique is commonly used. It involves:\n", "\n", "- Creating 6 virtual copies of the \"base\" grid, called \"mirrors\", around the\n", " base grid;\n", "- Artificially translating, for each user, the position of a cell to\n", " the closest corresponding \"mirror\" image in a neighboring hexagon.\n" ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:39.437639Z", "iopub.status.busy": "2026-02-13T13:56:39.437502Z", "iopub.status.idle": "2026-02-13T13:56:39.843303Z", "shell.execute_reply": "2026-02-13T13:56:39.842407Z" } }, "source": [ "fig = grid.show(show_mirrors=True)\n", "ax = fig.gca()\n", "\n", "batch = 0\n", "ut = 30\n", "\n", "# Plot mirror cells\n", "ax.plot(*ut_loc[batch, ut, :2].cpu(), 'xk',\n", " markersize=8, markeredgewidth=2, label='user')\n", "\n", "mirrors_per_ut_loc = flatten_dims(mirrors_per_ut_loc, num_dims=3, axis=1)\n", "mirrors_per_ut_xy_loc = mirrors_per_ut_loc[batch, ut, :, :2].cpu()\n", "for cell in range(mirrors_per_ut_xy_loc.shape[0]):\n", " # Show the cell ID\n", " ax.text(*mirrors_per_ut_xy_loc[cell, :2], str(cell))\n", "\n", " # Show the translation (if any) from base to mirror cell\n", " if np.linalg.norm(grid.cell_loc[cell, :2].cpu() - mirrors_per_ut_xy_loc[cell, :2]) > .1:\n", " ax.arrow(*grid.cell_loc[cell, :2].cpu(),\n", " *(mirrors_per_ut_xy_loc[cell, :2] - grid.cell_loc[cell, :2].cpu()),\n", " head_length=20,\n", " head_width=20,\n", " length_includes_head=True,\n", " fc='black')\n", "\n", "ax.set_title('Wraparound principle')\n", "ax.legend()\n", "\n", "fig.tight_layout()\n", "plt.show()" ], "execution_count": 5, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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", 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" ] }, "metadata": {} } ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the figure above, the arrows denote the translation (if any) of \"base\" cells to the artificial,\n", "\"mirror\" ones. \n", "\n", "One can modify the user index `ut` to assess how different user positions\n", "correspond to different wraparound configurations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Set up a 3GPP multicell scenario\n", "\n", "We can use the function [gen_hexgrid_topology](https://nvlabs.github.io/sionna/sys/api/sionna.sys.gen_hexgrid_topology.html) to place\n", "three base stations at the center of each hexagon, each serving\n", "a sector that covers a 120-degree angle, and drop users across all sectors. \n", "The inter-site distance, as well as user parameters such as position,\n", "orientation, velocity, and indoor state are set according to a 3GPP-compliant\n", "scenario. \n" ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:39.845957Z", "iopub.status.busy": "2026-02-13T13:56:39.845807Z", "iopub.status.idle": "2026-02-13T13:56:39.856218Z", "shell.execute_reply": "2026-02-13T13:56:39.855339Z" } }, "source": [ "scenario = 'umi' # 'umi, 'uma', or 'rma'\n", "\n", "# Generate the spiral hexagonal grid topology\n", "topology = gen_hexgrid_topology(batch_size=batch_size,\n", " num_rings=num_rings,\n", " num_ut_per_sector=num_ut_per_sector,\n", " min_bs_ut_dist=min_bs_ut_dist,\n", " max_bs_ut_dist=max_bs_ut_dist,\n", " scenario=scenario,\n", " los=True)\n", "\n", "ut_loc, bs_loc, ut_orientations, bs_orientations, \\\n", " ut_velocities, in_state, los, bs_virtual_loc = topology\n", "\n", "num_bs = bs_loc.shape[1]\n", "num_ut = ut_loc.shape[1]" ], "execution_count": 6, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Per-stream SINR computation\n", "\n", "We next illustrate the functionality enabling the computation of the per-stream,\n", "[post-equalization signal-to-interference-plus-noise ratio (SINR)](https://nvlabs.github.io/sionna/phy/api/ofdm/sionna.phy.ofdm.PostEqualizationSINR.html).\n", "\n", "It is assumed that \n", "- Linear precoding is used at the transmitter;\n", "- Linear equalization is used at the receiver;\n", "- The receiver (but not necessarily the transmitter) has perfect knowledge of\n", " the equalized channel.\n", "\n", "The knowledge of the SINR is useful for two main reasons:\n", "- SINR enables the computation of Shannon capacity, for a rapid evaluation of the\n", " network's performance;\n", "- SINR is used by the PHY abstraction module to bypass physical layer\n", " computations, as we will see later on.\n", "\n", "We will compute the SINR in a multi-cell MIMO scenario with 3GPP-compliant\n", "stochastic channel models and OFDM waveforms." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulation parameters" ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:39.858604Z", "iopub.status.busy": "2026-02-13T13:56:39.858483Z", "iopub.status.idle": "2026-02-13T13:56:39.861792Z", "shell.execute_reply": "2026-02-13T13:56:39.860951Z" } }, "source": [ "carrier_frequency = 3.5e9 # [Hz]\n", "\n", "# Time/frequency resource grid\n", "# N. OFDM symbols in a slot\n", "num_ofdm_sym = 10\n", "sampling_frequency = 1e-3 / num_ofdm_sym\n", "num_subcarriers = 32\n", "subcarrier_spacing = 15e3 # [Hz]\n", "\n", "# Base station and user terminal transmit power\n", "bs_power_dbm = 56 # [dBm]\n", "ut_power_dbm = 13 # [dBm]\n", "\n", "direction = 'uplink' # 'downlink' or 'uplink'\n", "\n", "# Environment temperature\n", "temperature = 294 # [K]\n", "\n", "# 3GPP scenario parameters\n", "# Outdoor-to-indoor pathloss model\n", "o2i_model = 'low' # 'low' or 'high'\n", "# Parameters pnly relevant for RMa\n", "average_street_width = 20.\n", "average_building_height = 10.\n", "\n", "assert direction in ['uplink', 'downlink']\n", "assert o2i_model in ['low', 'high']" ], "execution_count": 7, "outputs": [] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:39.863702Z", "iopub.status.busy": "2026-02-13T13:56:39.863583Z", "iopub.status.idle": "2026-02-13T13:56:39.866768Z", "shell.execute_reply": "2026-02-13T13:56:39.866051Z" } }, "source": [ "if direction == 'downlink':\n", " num_rx, num_tx = num_ut, num_bs\n", "else:\n", " num_rx, num_tx = num_bs, num_ut\n", "\n", "# Convert power to W\n", "ut_power = dbm_to_watt(ut_power_dbm) # [W]\n", "bs_power = dbm_to_watt(bs_power_dbm) # [W]\n", "\n", "# Noise power per subcarrier\n", "no = BOLTZMANN_CONSTANT * temperature * subcarrier_spacing" ], "execution_count": 8, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Set the antenna patterns\n", "\n", "We set the antenna patterns for base stations and user terminals.\n", "\n", "Note that the base stations must have a sufficient number of antennas to serve\n", "all connected users simultaneously." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:39.869507Z", "iopub.status.busy": "2026-02-13T13:56:39.869389Z", "iopub.status.idle": "2026-02-13T13:56:39.873595Z", "shell.execute_reply": "2026-02-13T13:56:39.872849Z" } }, "source": [ "# Create antenna arrays\n", "bs_array = PanelArray(num_rows_per_panel=3,\n", " num_cols_per_panel=2,\n", " polarization='dual',\n", " polarization_type='VH',\n", " antenna_pattern='38.901',\n", " carrier_frequency=carrier_frequency)\n", "\n", "ut_array = PanelArray(num_rows_per_panel=1,\n", " num_cols_per_panel=1,\n", " polarization='dual',\n", " polarization_type='VH',\n", " antenna_pattern='omni',\n", " carrier_frequency=carrier_frequency)\n", "\n", "num_ut_ant = ut_array.num_ant\n", "num_bs_ant = bs_array.num_ant" ], "execution_count": 9, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create a 3GPP channel model\n", "\n", "Creating a 3GPP-compliant channel model can be done easily via [Sionna PHY's\n", "integrated\n", "models](https://nvlabs.github.io/sionna/phy/api/channel/wireless/3gpp.html). \n", "We can choose from Urban Micro-cell (UMi), Urban Macro-cell (UMa), and Rural\n", "Macro-cell (RMa)." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:39.875575Z", "iopub.status.busy": "2026-02-13T13:56:39.875458Z", "iopub.status.idle": "2026-02-13T13:56:39.893085Z", "shell.execute_reply": "2026-02-13T13:56:39.892162Z" } }, "source": [ "# Create channel model\n", "if scenario == 'umi': # Urban micro-cell\n", " channel_model = UMi(carrier_frequency=carrier_frequency,\n", " o2i_model=o2i_model,\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction=direction,\n", " enable_pathloss=True,\n", " enable_shadow_fading=True)\n", "elif scenario == 'uma': # Urban macro-cell\n", " channel_model = UMa(carrier_frequency=carrier_frequency,\n", " o2i_model=o2i_model,\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction=direction,\n", " enable_pathloss=True,\n", " enable_shadow_fading=True)\n", "elif scenario == 'rma': # Rural macro-cell\n", " channel_model = RMa(carrier_frequency=carrier_frequency,\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction=direction,\n", " average_street_width=average_street_width,\n", " average_building_height=average_building_height,\n", " enable_pathloss=True,\n", " enable_shadow_fading=True)" ], "execution_count": 10, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now apply the multicell topology to the specified channel model." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:39.895119Z", "iopub.status.busy": "2026-02-13T13:56:39.894979Z", "iopub.status.idle": "2026-02-13T13:56:40.852920Z", "shell.execute_reply": "2026-02-13T13:56:40.851866Z" } }, "source": [ "channel_model.set_topology(*topology)\n", "channel_model.show_topology()" ], "execution_count": 11, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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", 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" ] }, "metadata": {} } ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generate OFDM channel matrices\n", "\n", "After creating the channel model, we will\n", "- Generate the channel impulse response (CIR) for each pair of transmit and\n", " receive antennas;\n", "- Convert the CIRs to OFDM channel matrices, for each transmitter/receiver pair.\n", "\n", "These two steps are handled by the [GenerateOFDMChannel](https://nvlabs.github.io/sionna/phy/api/channel/wireless/sionna.phy.channel.GenerateOFDMChannel.html) object." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:40.855048Z", "iopub.status.busy": "2026-02-13T13:56:40.854911Z", "iopub.status.idle": "2026-02-13T13:56:40.981521Z", "shell.execute_reply": "2026-02-13T13:56:40.980517Z" } }, "source": [ "# Set n. streams per user = n. antennas\n", "num_streams_per_ut = num_ut_ant\n", "\n", "# Set up the OFDM resource grid\n", "resource_grid = ResourceGrid(num_ofdm_symbols=num_ofdm_sym,\n", " fft_size=num_subcarriers,\n", " subcarrier_spacing=subcarrier_spacing,\n", " num_tx=num_ut_per_sector,\n", " num_streams_per_tx=num_streams_per_ut)\n", "\n", "# Instantiate the OFDM channel generator\n", "ofdm_channel = GenerateOFDMChannel(channel_model, resource_grid)\n", "\n", "# Generate the OFDM channel matrix\n", "# [batch_size, num_rx, num_rx_ant, num_tx, num_tx_ant, num_ofdm_symbols, num_subcarriers]\n", "h_freq = ofdm_channel(batch_size)\n", "\n", "assert num_streams_per_ut <= num_ut_ant, \\\n", " \"The # of streams per user must not exceed the # of its antennas\"" ], "execution_count": 12, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Stream management\n", "\n", "We now associate each receiver to the corresponding serving transmitter, via a\n", "[StreamManagement](https://nvlabs.github.io/sionna/phy/api/mimo/stream_management.html) object." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:40.984118Z", "iopub.status.busy": "2026-02-13T13:56:40.983976Z", "iopub.status.idle": "2026-02-13T13:56:40.992193Z", "shell.execute_reply": "2026-02-13T13:56:40.991265Z" } }, "source": [ "# For simplicity, each user is served by its closest base station\n", "if direction == 'downlink':\n", " num_streams_per_tx = num_streams_per_ut * num_ut_per_sector\n", " # RX-TX association matrix\n", " rx_tx_association = np.zeros([num_rx, num_tx])\n", " idx = np.array([[i1, i2] for i2 in range(num_tx) for i1 in\n", " np.arange(i2*num_ut_per_sector, (i2+1)*num_ut_per_sector)])\n", " rx_tx_association[idx[:, 0], idx[:, 1]] = 1\n", "else:\n", " num_streams_per_tx = num_streams_per_ut\n", " # RX-TX association matrix\n", " rx_tx_association = np.zeros([num_rx, num_tx])\n", " idx = np.array([[i1, i2] for i1 in range(num_rx) for i2 in\n", " np.arange(i1*num_ut_per_sector, (i1+1)*num_ut_per_sector)])\n", " rx_tx_association[idx[:, 0], idx[:, 1]] = 1\n", "\n", "# Instantiate a Stream Management object\n", "stream_management = StreamManagement(rx_tx_association, num_streams_per_tx)" ], "execution_count": 13, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compute SINR\n", "\n", "We are finally ready to compute the post-equalization SINR on a per-stream basis. \n", "\n", "Note that the transmitter must allocate powers across streams, a task handled by\n", "the scheduler and power control. \n", "Since these modules are not the focus of this notebook, we assume a\n", "simplified model with uniform power allocation across randomly selected\n", "streams." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:40.994289Z", "iopub.status.busy": "2026-02-13T13:56:40.994170Z", "iopub.status.idle": "2026-02-13T13:56:41.027066Z", "shell.execute_reply": "2026-02-13T13:56:41.026044Z" } }, "source": [ "# User streams are allocated randomly across subcarriers\n", "# Uniform power allocation\n", "# [batch_size, num_ofdm_sym, num_subcarriers, num_tx, num_streams_per_tx]\n", "is_scheduled = sample_bernoulli([batch_size,\n", " num_ofdm_sym,\n", " num_subcarriers,\n", " num_ut,\n", " num_streams_per_ut],\n", " p=.3)\n", "\n", "tx_power_per_ut = ut_power if direction == 'uplink' else bs_power / num_ut_per_sector\n", "tx_power_per_ut = torch.full([batch_size, num_ofdm_sym, num_ut], tx_power_per_ut,\n", " device=sionna.phy.config.device)\n", "\n", "# [batch_size, num_tx, num_streams_per_tx, num_ofdm_sym, num_subcarriers]\n", "tx_power = spread_across_subcarriers(tx_power_per_ut,\n", " is_scheduled,\n", " num_tx=num_tx)\n", "\n", "if direction == 'downlink':\n", " precoded_channel = RZFPrecodedChannel(resource_grid=resource_grid,\n", " stream_management=stream_management)\n", " h_eff = precoded_channel(h_freq, tx_power=tx_power, alpha=no)\n", "else:\n", " # No precoding in the uplink\n", " precoded_channel = EyePrecodedChannel(resource_grid=resource_grid,\n", " stream_management=stream_management)\n", " h_eff = precoded_channel(h_freq, tx_power=tx_power)\n", "\n", "lmmse_posteq_sinr = LMMSEPostEqualizationSINR(resource_grid=resource_grid,\n", " stream_management=stream_management)\n", "\n", "# [batch_size, num_ofdm_symbols, num_subcarriers, num_rx, num_streams_per_rx]\n", "sinr = lmmse_posteq_sinr(h_eff, no=no, interference_whitening=True)\n", "# [batch_size, num_ofdm_symbols, num_subcarriers, num_ut, num_streams_per_ut]\n", "sinr = torch.reshape(sinr,\n", " sinr.shape[:-2] + (num_bs*num_ut_per_sector, num_streams_per_ut))\n", "print(f'{sinr.shape = }')" ], "execution_count": 14, "outputs": [ { "output_type": "stream", "text": [ "sinr.shape = torch.Size([1, 10, 32, 105, 2])\n" ], "name": "stdout" } ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is immediate to compute the associated Shannon capacity." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:41.029182Z", "iopub.status.busy": "2026-02-13T13:56:41.029042Z", "iopub.status.idle": "2026-02-13T13:56:41.038932Z", "shell.execute_reply": "2026-02-13T13:56:41.038127Z" } }, "source": [ "# Compute maximum achievable spectral efficiency (SE) per resource element\n", "# [batch_size, num_ofdm_sym, num_subcarriers, num_ut]\n", "se_shannon = torch.sum(torch.log2(1 + sinr), axis=-1)\n", "\n", "# Average across resource elements for each user\n", "# [batch_size, num_ut]\n", "se_shannon = torch.mean(se_shannon, axis=[-2, -3])" ], "execution_count": 15, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now visualize the produced SINR and the spectral efficiency distribution across users." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:41.041437Z", "iopub.status.busy": "2026-02-13T13:56:41.041304Z", "iopub.status.idle": "2026-02-13T13:56:41.194627Z", "shell.execute_reply": "2026-02-13T13:56:41.193786Z" } }, "source": [ "def get_cdf(values):\n", " \"\"\"\n", " Computes the Cumulative Distribution Function (CDF) of the input vector\n", " \"\"\"\n", " values = values.cpu()\n", " values = np.array(values).flatten()\n", " n = len(values)\n", " sorted_val = np.sort(values)\n", " cumulative_prob = np.arange(1, n+1) / n\n", " return sorted_val, cumulative_prob\n", "\n", "# Plot SINR\n", "fig, ax = plt.subplots(1, 2, figsize=(8, 3.5))\n", "\n", "ax[0].plot(*get_cdf(10*torch.log10(sinr[sinr > 0])))\n", "ax[0].set_xlabel('SINR [dB]')\n", "ax[0].set_ylabel('Cumulative density function')\n", "ax[0].set_title('SINR across Users and Resource Elements')\n", "ax[0].grid()\n", "\n", "# Plot SE\n", "ax[1].plot(*get_cdf(se_shannon))\n", "ax[1].grid()\n", "ax[1].set_title('Shannon spectral efficiency ')\n", "ax[1].set_ylabel('Cumulative density function')\n", "ax[1].set_xlabel('Spectral Efficiency [bps/Hz]')\n", "fig.tight_layout()\n", "\n", "plt.show()" ], "execution_count": 16, "outputs": [ { "output_type": "display_data", 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", 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" ] }, "metadata": {} } ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Differentiability\n", "\n", "We finally show that the per-user Shannon capacity is differentiable with\n", "respect to the transmit power. \n", "In fact, this holds for any differentiable function of the SINR." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:56:41.196928Z", "iopub.status.busy": "2026-02-13T13:56:41.196779Z", "iopub.status.idle": "2026-02-13T13:56:41.365072Z", "shell.execute_reply": "2026-02-13T13:56:41.364121Z" } }, "source": [ "# Transmit power value at which the gradient is computed\n", "tx_power_re = torch.ones([batch_size, num_tx, num_streams_per_tx, num_ofdm_sym, num_subcarriers],\n", " device=sionna.phy.config.device, requires_grad=True)\n", "\n", "# Forward pass with gradient tracking\n", "if direction == 'downlink':\n", " precoded_channel = RZFPrecodedChannel(resource_grid=resource_grid,\n", " stream_management=stream_management)\n", " h_eff = precoded_channel(h_freq, tx_power=tx_power_re, alpha=no)\n", "else:\n", " precoded_channel = EyePrecodedChannel(resource_grid=resource_grid,\n", " stream_management=stream_management)\n", " h_eff = precoded_channel(h_freq, tx_power=tx_power_re)\n", "\n", "lmmse_posteq_sinr = LMMSEPostEqualizationSINR(resource_grid=resource_grid,\n", " stream_management=stream_management)\n", "\n", "# [batch_size, num_ofdm_symbols, num_effective_subcarriers, num_rx, num_streams_per_rx]\n", "sinr = lmmse_posteq_sinr(h_eff, no=no, interference_whitening=True)\n", "\n", "# Per-stream Shannon capacity\n", "capacity_re = torch.log2(1 + sinr)\n", "\n", "# Average capacity across users and resources\n", "capacity_re_avg = torch.mean(capacity_re)\n", "\n", "print(f'{tx_power_re.shape = }')\n", "# [batch_size, num_tx, num_streams_per_tx, num_ofdm_sym, num_subcarriers]\n", "\n", "# Compute Gradient d(capacity_re_avg)/d(tx_power_i), for all i\n", "capacity_re_avg.backward()\n", "d_capacity_d_tx_power = tx_power_re.grad.cpu().numpy()\n", "\n", "print(f'{d_capacity_d_tx_power.shape = }')\n", "# [batch_size, num_tx, num_streams_per_tx, num_ofdm_sym, num_subcarriers]" ], "execution_count": 17, "outputs": [ { "output_type": "stream", "text": [ "tx_power_re.shape = torch.Size([1, 105, 2, 10, 32])\n" ], "name": "stdout" }, { "output_type": "stream", "text": [ "d_capacity_d_tx_power.shape = (1, 105, 2, 10, 32)\n" ], "name": "stdout" } ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "\n", "The [gen_hexgrid_topology](https://nvlabs.github.io/sionna/sys/api/sionna.sys.gen_hexgrid_topology.html) function enables the creation of a 3GPP-compliant\n", "multicell scenario with hexagonal cells arranged on a spiral grid. \n", "To eliminate\n", "border effects at the network edge, the wraparound technique is\n", "applied by assigning each user a set of \"mirror\" base station position.\n", "\n", "Once users are placed in the network, the SINR\n", "and the associated Shannon capacity can be computed, providing an upper bound\n", "for the achievable spectral efficiency. \n", "\n", "Evaluating the *actual* spectral efficiency would ideally require\n", "simulating the entire physical layer (PHY) chain, including\n", "modulation, coding, demodulation, and decoding.\n", "\n", "As a computationally cheaper alternative, one can bypass the PHY chain\n", "via the [PHYAbstraction](https://nvlabs.github.io/sionna/sys/api/abstraction.html) functionality, as shown in the\n", "[physical layer abstraction notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/PHY_Abstraction.html)." ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 2 }