{ "cells": [ { "cell_type": "markdown", "id": "d679a33e", "metadata": {}, "source": [ "# Plot Gallery\n", "\n", "A reference notebook of every plotting helper in `assyst.plot`. It loads a\n", "small pre-generated Cu–Zn dataset (~1300 structures) so each example runs\n", "in a second or two — feel free to swap in your own list of `ase.Atoms`.\n", "\n", "The plots below are grouped into four families:\n", "\n", "- **Overview** — every plot at a glance,\n", "- **Structural** — cell-related quantities (volume, lattice parameters,\n", " angles, aspect ratios, sizes),\n", "- **Composition** — element concentrations,\n", "- **Distances / neighbours** — bond distances and radial distributions,\n", "- **Energy** — energy histograms and energy-vs-X scatter/hexbin plots.\n", "\n", "Each example also notes the most useful keyword arguments." ] }, { "cell_type": "markdown", "id": "b0fc036d", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "id": "6b557258", "metadata": { "execution": { "iopub.execute_input": "2026-05-04T23:32:27.422562Z", "iopub.status.busy": "2026-05-04T23:32:27.422356Z", "iopub.status.idle": "2026-05-04T23:32:29.202818Z", "shell.execute_reply": "2026-05-04T23:32:29.201497Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "Loaded 1345 structures\n" } ], "source": [ "import pickle\n", "import matplotlib.pyplot as plt\n", "import assyst.plot as aplot\n", "\n", "with open(\"data/plot_gallery.pkl\", \"rb\") as f:\n", " structures = pickle.load(f)\n", "\n", "print(f\"Loaded {len(structures)} structures\")" ] }, { "cell_type": "markdown", "id": "8409b3e4", "metadata": {}, "source": [ "## Overview\n", "\n", "Every plot at default settings, side by side." ] }, { "cell_type": "code", "execution_count": 2, "id": "1074bc70", "metadata": { "execution": { "iopub.execute_input": "2026-05-04T23:32:29.205197Z", "iopub.status.busy": "2026-05-04T23:32:29.204814Z", "iopub.status.idle": "2026-05-04T23:33:49.353154Z", "shell.execute_reply": "2026-05-04T23:33:49.352494Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(15, 12))\n", "\n", "plots = [\n", " ('volume_histogram', aplot.volume_histogram),\n", " ('size_histogram', aplot.size_histogram),\n", " ('concentration_histogram', aplot.concentration_histogram),\n", " ('lattice_parameter_histogram', aplot.lattice_parameter_histogram),\n", " ('lattice_angle_histogram', aplot.lattice_angle_histogram),\n", " ('aspect_ratio_histogram', aplot.aspect_ratio_histogram),\n", " ('distance_histogram', aplot.distance_histogram),\n", " ('radial_distribution', aplot.radial_distribution),\n", " ('energy_histogram', aplot.energy_histogram),\n", " ('energy_distance', aplot.energy_distance),\n", " ('energy_volume', aplot.energy_volume),\n", "]\n", "\n", "for i, (name, fn) in enumerate(plots, start=1):\n", " plt.subplot(4, 3, i)\n", " plt.title(name)\n", " fn(structures)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "e7ccc5a0", "metadata": {}, "source": [ "## Structural" ] }, { "cell_type": "markdown", "id": "2d7d1876", "metadata": {}, "source": [ "### `volume_histogram`\n", "\n", "Per-atom cell volume. `bins` controls resolution, `density=True` normalises\n", "to a probability density, `color` picks the bar colour." ] }, { "cell_type": "code", "execution_count": 3, "id": "4fffaa93", "metadata": { "execution": { "iopub.execute_input": "2026-05-04T23:33:49.358962Z", "iopub.status.busy": "2026-05-04T23:33:49.357954Z", "iopub.status.idle": "2026-05-04T23:33:49.568882Z", "shell.execute_reply": "2026-05-04T23:33:49.567566Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aplot.volume_histogram(structures, bins=50, color='steelblue', density=True);" ] }, { "cell_type": "markdown", "id": "fd75df58", "metadata": {}, "source": [ "### `size_histogram`\n", "\n", "Number of atoms per structure. `rwidth` adds a gap between bars; useful\n", "when bins align to integer counts." ] }, { "cell_type": "code", "execution_count": 4, "id": "61f16297", "metadata": { "execution": { "iopub.execute_input": "2026-05-04T23:33:49.571561Z", "iopub.status.busy": "2026-05-04T23:33:49.570839Z", "iopub.status.idle": "2026-05-04T23:33:49.747073Z", "shell.execute_reply": "2026-05-04T23:33:49.746332Z" } }, "outputs": [ { "data": { "image/png": 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0NWvWTLm5uSovL5cklZaWasGCBX4vEAAA4FL4HHaeeeYZLV++XC+//LJCQ0M97f3791dubq5fiwMAALhUPoedQ4cO6YYbbjin3WaznfPQTgAAgEDzOew4HA59+eWX57R/+OGH6tChg1+KAgAA8Befw86kSZP0yCOPaO/evbJYLDp+/LjWrl2rWbNmXZaPigAAAObm81fPZ8+erZqaGg0ePFg//fSTbrjhBoWHh2vWrFmaOnVqfdQIAABw0Xx+EOhZFRUV+vLLL1VWVqbk5GRFR0f7u7YGw4NAEVA8CBQALkq9PAi0srJSgwcP1uHDhxUWFqbk5GRdd911l3XQAQAA5uZT2AkNDdWnn35aX7UAAAD4nc83KI8bN04rVqyoj1oAAAD8zucblKuqqrRy5Uq9++67SklJUVRUlFf/888/77fiAAAALpXPYWf//v269tprJUlffPGFV5/FYvFPVQAAAH7ic9h5//3366MOAACAenFRTz0HAAC4XPh8Zmf+/PkX7J83b95FFwMAAOBvPoedjRs3er2vrKzUkSNHFBISoiuvvJKwAwAAGhWfw84nn3xyTpvb7dZ9992nO++80y9FAQAA+Itf7tmxWq166qmnNHfuXH/sDgAAwG/8doNyaWmpSktL/bU7AAAAv/D5MtaSJUu83huGoaKiIr322msaOnSo3woDAADwB5/DzgsvvOD1PigoSK1bt9aECROUkZHht8IAAAD8weews2PHDiUkJCgoyPsKmGEYKiwsVPPmzf1WHAAAwKXyOex06NBBRUVFiouL82o/ceKEkpKSVF1d7bfiAABAAD1wi3/288oW/+znIvl8g7JhGLW2l5WVKSIi4pILAgAA8Kc6n9mZMWOGpJ8f9jlv3jxFRkZ6+qqrq7V371717NnT7wUCAABcijqHnbM/JmgYhvLz8xUWFubpCwsLU48ePTRr1iz/VwgAAHAJ6hx2zj7t/P7779fixYtltVrrrSgAAAB/8fkG5VWrVtVHHQAAAPXC5xuUMzMztXLlynPaV65cqd///vd+KQoAAMBffA47L730kjp37nxOe9euXbV8+XK/FAUAAOAvPocdl8ulNm3anNPeunVrFRUV+aUoAAAAf/E57CQkJGjXrl3ntO/atUvx8fF+KQoAAMBffL5BedKkSZo2bZoqKys1aNAgSVJWVpYee+wxzZw50+8FAgAAXAqfw86jjz6qH374Qb/97W9VUVEhSYqIiNDjjz/Og0ABAECj43PYsVgs+v3vf6+5c+fq4MGDatasmTp27Kjw8PD6qA8AAOCS+Bx2zoqOjlafPn38WQsAAIDf+Rx25s+ff8H+efPmXXQxAAAA/uZz2Nm4caPX+8rKSh05ckQhISG68sorCTsAAKBR8TnsnH0g6L9yu9267777dOedd/qlKAAAAH/x+Xd2amO1WvXUU09p7ty5/tgdAACA3/gl7EhSaWmpSktL/bU7AAAAv/D5MtaSJUu83huGoaKiIr322msaOnSoT/tatmyZli1bpm+++UbSz8/Xmjdvnmc/Z86c0cyZM7V+/XqVl5crLS1NL774oux2u2cfBQUFmjx5st5//31FR0drwoQJyszMVEjIRX/RDAAAmIjPieCFF17weh8UFKTWrVtrwoQJPv+oYNu2bfXss8+qY8eOMgxDa9as0fDhw/XJJ5+oa9eumj59ut5++21t2LBBNptNU6ZM0YgRIzyPq6iurtawYcPkcDi0e/duFRUV6d5771VoaKgWLFjg66EBAAATshiGYdR1cGVlpdLS0rR8+XJdffXV9VJQbGys/uu//kujRo1S69attW7dOo0aNUqS9Pnnn6tLly7Kzs5Wv3799M477+i2227T8ePHPWd7li9frscff1zfffedwsLC6vSZbrdbNptNpaWlslqt9XJcwHk9cIt/9vPKFv/sBwDOauT/f6rr32+f7tkJDQ1Vfn6+goL8dquPR3V1tdavX6/Tp0/L6XQqJydHlZWVSk1N9Yzp3Lmz2rVrp+zsbElSdna2unXr5nVZKy0tTW63WwcOHDjvZ5WXl8vtdnu9AACAOfmcWsaNG6dXXnnFbwXk5+crOjpa4eHheuihh7Rx40YlJyfL5XIpLCxMMTExXuPtdrtcLpckyeVyeQWds/1n+84nMzNTNpvN80pISPDb8QAAgMbF53t2qqqqtHLlSr377rtKSUlRVFSUV//zzz/v0/46deqkvLw8lZaW6i9/+YsmTJignTt3+lqWTzIyMjRjxgzPe7fbTeABAMCkfA47+/fv17XXXitJ+uKLL7z6LBaLzwWEhYXpqquukiSlpKRo3759Wrx4sUaPHq2KigqdPHnS6+xOcXGxHA6HJMnhcOijjz7y2l9xcbGn73zCw8N5cCkAAE2Ez2Hn/fffr486PGpqalReXq6UlBSFhoYqKytLI0eOlCQdOnRIBQUFcjqdkiSn06nf/e53KikpUVxcnCRp+/btslqtSk5Ortc6AQDA5cHnsFNQUKCEhIRaz+IUFBSoXbt2dd5XRkaGhg4dqnbt2unUqVNat26dduzYoa1bt8pms2nixImaMWOGYmNjZbVaNXXqVDmdTvXr10+SNGTIECUnJ2v8+PFauHChXC6X5syZo/T0dM7cAAAASRcRdpKSklRUVOQ5k3LWDz/8oKSkJFVXV9d5XyUlJbr33ntVVFQkm82m7t27a+vWrbr55psl/fybPkFBQRo5cqTXjwqeFRwcrE2bNmny5MlyOp2KiorShAkTfvXJ7AAAoOnwOewYhlHrWZ2ysjJFRET4tK8VK1ZcsD8iIkJLly7V0qVLzzsmMTFRmzdv9ulzAQBA01HnsHP220sWi0Vz585VZGSkp6+6ulp79+5Vz549/V4gAADApahz2Pnkk08k/XxmJz8/3+vXicPCwtSjRw/NmjXL/xUCAABcgjqHnbPfwrr//vu1ePFiHqsAAAAuCz7fs7Nq1ar6qAMAAKBe1PlxEdnZ2dq0aZNX26uvvqqkpCTFxcXpwQcfVHl5ud8LBAAAuBR1Djvz58/3erhmfn6+Jk6cqNTUVM2ePVtvvfWWMjMz66VIAACAi1XnsJOXl6fBgwd73q9fv159+/bVyy+/rBkzZmjJkiX685//XC9FAgAAXKw6h50ff/zR6wnjO3fu1NChQz3v+/Tpo8LCQv9WBwAAcInqHHbsdruOHDkiSaqoqFBubq7nsQ2SdOrUKYWGhvq/QgAAgEtQ57Bz6623avbs2fr73/+ujIwMRUZGauDAgZ7+Tz/9VFdeeWW9FAkAAHCx6vzV86efflojRozQjTfeqOjoaK1Zs8brhwVXrlypIUOG1EuRAAAAF6vOYadVq1b64IMPVFpaqujoaAUHB3v1b9iwQdHR0X4vEAAA4FL4/KOCNput1vbY2NhLLgYAAMDf6nzPDgAAwOXoosLOlClTdOLECX/XAgAA4Hd1DjvHjh3z/HvdunUqKyuTJHXr1o3f1wEAAI1Wne/Z6dy5s1q2bKn+/fvrzJkzKiwsVLt27fTNN9+osrKyPmsEAAC4aHU+s3Py5Elt2LBBKSkpqqmp0a233qqrr75a5eXl2rp1q4qLi+uzTgAAgItS57BTWVmp6667TjNnzlSzZs30ySefaNWqVQoODtbKlSuVlJSkTp061WetAAAAPqvzZayYmBj17NlT/fv3V0VFhf75z3+qf//+CgkJ0Z/+9CddccUV2rdvX33WCgAA4LM6n9n59ttvNWfOHIWHh6uqqkopKSkaOHCg5zlZFotFAwYMqM9aAQAAfFbnsNOqVSvdfvvtyszMVGRkpPbt26epU6fKYrFo1qxZstlsuvHGG+uzVgAAAJ9d9I8K2mw23X333QoNDdV7772nI0eO6Le//a0/awMAALhkPj8uQvr5CedXXHGFJCkxMVGhoaFyOBwaPXq0X4sDAAC4VBcVdhISEjz/3r9/v9+KAQAA8DeejQUAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEwtJNAFAAAC5IFb/LOfV7b4Zz9APeHMDgAAMDXCDgAAMDXCDgAAMDXCDgAAMDXCDgAAMLWAhp3MzEz16dNHzZs3V1xcnO644w4dOnTIa8yZM2eUnp6uli1bKjo6WiNHjlRxcbHXmIKCAg0bNkyRkZGKi4vTo48+qqqqqoY8FAAA0EgFNOzs3LlT6enp2rNnj7Zv367KykoNGTJEp0+f9oyZPn263nrrLW3YsEE7d+7U8ePHNWLECE9/dXW1hg0bpoqKCu3evVtr1qzR6tWrNW/evEAcEgAAaGQC+js7W7Z4/zbD6tWrFRcXp5ycHN1www0qLS3VihUrtG7dOg0aNEiStGrVKnXp0kV79uxRv379tG3bNn322Wd69913Zbfb1bNnTz399NN6/PHH9eSTTyosLOyczy0vL1d5ebnnvdvtrt8DBQAAAdOo7tkpLS2VJMXGxkqScnJyVFlZqdTUVM+Yzp07q127dsrOzpYkZWdnq1u3brLb7Z4xaWlpcrvdOnDgQK2fk5mZKZvN5nklJCTU1yEBAIAAazRhp6amRtOmTVP//v11zTXXSJJcLpfCwsIUExPjNdZut8vlcnnG/GvQOdt/tq82GRkZKi0t9bwKCwv9fDQAAKCxaDSPi0hPT9f+/fv14Ycf1vtnhYeHKzw8vN4/BwAABF6jOLMzZcoUbdq0Se+//77atm3raXc4HKqoqNDJkye9xhcXF8vhcHjG/PLbWWffnx0DAACaroCGHcMwNGXKFG3cuFHvvfeekpKSvPpTUlIUGhqqrKwsT9uhQ4dUUFAgp9MpSXI6ncrPz1dJSYlnzPbt22W1WpWcnNwwBwIAABqtgF7GSk9P17p16/S3v/1NzZs399xjY7PZ1KxZM9lsNk2cOFEzZsxQbGysrFarpk6dKqfTqX79+kmShgwZouTkZI0fP14LFy6Uy+XSnDlzlJ6ezqUqAAAQ2LCzbNkySdJvfvMbr/ZVq1bpvvvukyS98MILCgoK0siRI1VeXq60tDS9+OKLnrHBwcHatGmTJk+eLKfTqaioKE2YMEHz589vqMMAAACNWEDDjmEYvzomIiJCS5cu1dKlS887JjExUZs3b/ZnaQAAwCQaxQ3KAAAA9YWwAwAATI2wAwAATI2wAwAATK3R/IKyaT1wi3/288qWXx8DAADOwZkdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgaoQdAABgagENOx988IFuv/12xcfHy2Kx6I033vDqNwxD8+bNU5s2bdSsWTOlpqbq8OHDXmNOnDihsWPHymq1KiYmRhMnTlRZWVkDHgUAAGjMAhp2Tp8+rR49emjp0qW19i9cuFBLlizR8uXLtXfvXkVFRSktLU1nzpzxjBk7dqwOHDig7du3a9OmTfrggw/04IMPNtQhAACARi4kkB8+dOhQDR06tNY+wzC0aNEizZkzR8OHD5ckvfrqq7Lb7XrjjTc0ZswYHTx4UFu2bNG+ffvUu3dvSdJ///d/69Zbb9Uf/vAHxcfHN9ixAACAxqnR3rNz5MgRuVwupaametpsNpv69u2r7OxsSVJ2drZiYmI8QUeSUlNTFRQUpL1795533+Xl5XK73V4vAABgTo027LhcLkmS3W73arfb7Z4+l8uluLg4r/6QkBDFxsZ6xtQmMzNTNpvN80pISPBz9QAAoLFotGGnPmVkZKi0tNTzKiwsDHRJAACgnjTasONwOCRJxcXFXu3FxcWePofDoZKSEq/+qqoqnThxwjOmNuHh4bJarV4vAABgTo027CQlJcnhcCgrK8vT5na7tXfvXjmdTkmS0+nUyZMnlZOT4xnz3nvvqaamRn379m3wmgEAQOMT0G9jlZWV6csvv/S8P3LkiPLy8hQbG6t27dpp2rRpeuaZZ9SxY0clJSVp7ty5io+P1x133CFJ6tKli2655RZNmjRJy5cvV2VlpaZMmaIxY8bwTSwAACApwGHn448/1k033eR5P2PGDEnShAkTtHr1aj322GM6ffq0HnzwQZ08eVIDBgzQli1bFBER4dlm7dq1mjJligYPHqygoCCNHDlSS5YsafBjAQAAjVNAw85vfvMbGYZx3n6LxaL58+dr/vz55x0TGxurdevW1Ud5AADABBrtPTsAAAD+QNgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmZpqws3TpUrVv314RERHq27evPvroo0CXBAAAGgFThJ0//elPmjFjhp544gnl5uaqR48eSktLU0lJSaBLAwAAAWaKsPP8889r0qRJuv/++5WcnKzly5crMjJSK1euDHRpAAAgwEICXcClqqioUE5OjjIyMjxtQUFBSk1NVXZ2dq3blJeXq7y83PO+tLRUkuR2u+uhwCr/7Kc+akPjwBpBoLD28Gsa+Ro5+3fbMIwLjrvsw87333+v6upq2e12r3a73a7PP/+81m0yMzP11FNPndOekJBQLzX6xWu2QFeAxo41gkBh7eHX1PMaOXXqlGy283/GZR92LkZGRoZmzJjheV9TU6MTJ06oZcuWslgsl7x/t9uthIQEFRYWymq1XvL+zI758g3z5RvmyzfMV90xV76pj/kyDEOnTp1SfHz8Bcdd9mGnVatWCg4OVnFxsVd7cXGxHA5HrduEh4crPDzcqy0mJsbvtVmtVv4D8AHz5RvmyzfMl2+Yr7pjrnzj7/m60Bmdsy77G5TDwsKUkpKirKwsT1tNTY2ysrLkdDoDWBkAAGgMLvszO5I0Y8YMTZgwQb1799Z1112nRYsW6fTp07r//vsDXRoAAAgwU4Sd0aNH67vvvtO8efPkcrnUs2dPbdmy5ZyblhtKeHi4nnjiiXMulaF2zJdvmC/fMF++Yb7qjrnyTSDny2L82ve1AAAALmOX/T07AAAAF0LYAQAApkbYAQAApkbYAQAApkbY8dGyZcvUvXt3z48iOZ1OvfPOOxfcZsOGDercubMiIiLUrVs3bd68uYGqDTxf52v16tWyWCxer4iIiAasuPF49tlnZbFYNG3atAuOa8rr61/VZb6a+vp68sknzzn+zp07X3Cbpry+fJ2vpr6+vv32W40bN04tW7ZUs2bN1K1bN3388ccX3GbHjh269tprFR4erquuukqrV6+ul9oIOz5q27atnn32WeXk5Ojjjz/WoEGDNHz4cB04cKDW8bt379Y999yjiRMn6pNPPtEdd9yhO+64Q/v372/gygPD1/mSfv51zaKiIs/r6NGjDVhx47Bv3z699NJL6t69+wXHNfX1dVZd50tifXXt2tXr+D/88MPzjmV9+TZfUtNdXz/++KP69++v0NBQvfPOO/rss8/03HPPqUWLFufd5siRIxo2bJhuuukm5eXladq0aXrggQe0detW/xdo4JK1aNHCeOWVV2rtu/vuu41hw4Z5tfXt29f4j//4j4YorVG60HytWrXKsNlsDVtQI3Pq1CmjY8eOxvbt240bb7zReOSRR847lvXl23w19fX1xBNPGD169Kjz+Ka+vnydr6a8vh5//HFjwIABPm3z2GOPGV27dvVqGz16tJGWlubP0gzDMAzO7FyC6upqrV+/XqdPnz7voymys7OVmprq1ZaWlqbs7OyGKLFRqct8SVJZWZkSExOVkJDwq2eBzCg9PV3Dhg07Z93UhvXl23xJrK/Dhw8rPj5eHTp00NixY1VQUHDesawv3+ZLarrr680331Tv3r111113KS4uTr169dLLL798wW0acn0Rdi5Cfn6+oqOjFR4eroceekgbN25UcnJyrWNdLtc5v+Rst9vlcrkaotRGwZf56tSpk1auXKm//e1vev3111VTU6Prr79ex44da+CqA2P9+vXKzc1VZmZmncY39fXl63w19fXVt29frV69Wlu2bNGyZct05MgRDRw4UKdOnap1fFNfX77OV1NeX19//bWWLVumjh07auvWrZo8ebIefvhhrVmz5rzbnG99ud1u/fOf//RvgX4/V9QElJeXG4cPHzY+/vhjY/bs2UarVq2MAwcO1Do2NDTUWLdunVfb0qVLjbi4uIYotVHwZb5+qaKiwrjyyiuNOXPm1HOVgVdQUGDExcUZ//jHPzxtv3ZZpimvr4uZr19qSuurNj/++KNhtVrPe1m5Ka+v2vzafP1SU1pfoaGhhtPp9GqbOnWq0a9fv/Nu07FjR2PBggVebW+//bYhyfjpp5/8Wh9ndi5CWFiYrrrqKqWkpCgzM1M9evTQ4sWLax3rcDhUXFzs1VZcXCyHw9EQpTYKvszXL4WGhqpXr1768ssv67nKwMvJyVFJSYmuvfZahYSEKCQkRDt37tSSJUsUEhKi6urqc7ZpyuvrYubrl5rS+qpNTEyMrr766vMef1NeX7X5tfn6paa0vtq0aXPOGfsuXbpc8LLf+daX1WpVs2bN/FofYccPampqVF5eXmuf0+lUVlaWV9v27dsveM+K2V1ovn6purpa+fn5atOmTT1XFXiDBw9Wfn6+8vLyPK/evXtr7NixysvLU3Bw8DnbNOX1dTHz9UtNaX3VpqysTF999dV5j78pr6/a/Np8/VJTWl/9+/fXoUOHvNq++OILJSYmnnebBl1ffj1P1ATMnj3b2Llzp3HkyBHj008/NWbPnm1YLBZj27ZthmEYxvjx443Zs2d7xu/atcsICQkx/vCHPxgHDx40nnjiCSM0NNTIz88P1CE0KF/n66mnnjK2bt1qfPXVV0ZOTo4xZswYIyIios6Xvczml5dlWF8X9mvz1dTX18yZM40dO3YYR44cMXbt2mWkpqYarVq1MkpKSgzDYH39kq/z1ZTX10cffWSEhIQYv/vd74zDhw8ba9euNSIjI43XX3/dM2b27NnG+PHjPe+//vprIzIy0nj00UeNgwcPGkuXLjWCg4ONLVu2+L2+EP/HJ3MrKSnRvffeq6KiItlsNnXv3l1bt27VzTffLEkqKChQUND/nzC7/vrrtW7dOs2ZM0f/+Z//qY4dO+qNN97QNddcE6hDaFC+ztePP/6oSZMmyeVyqUWLFkpJSdHu3bvPe0NzU8P68g3ry9uxY8d0zz336IcfflDr1q01YMAA7dmzR61bt5bE+volX+erKa+vPn36aOPGjcrIyND8+fOVlJSkRYsWaezYsZ4xRUVFXpe1kpKS9Pbbb2v69OlavHix2rZtq1deeUVpaWl+r89iGIbh970CAAA0EtyzAwAATI2wAwAATI2wAwAATI2wAwAATI2wAwAATI2wAwAATI2wAwAATI2wAwAATI2wAwAATI2wAyBgvvvuO4WFhen06dOqrKxUVFTUBZ+S/K+OHTumsLCwWh9dsHr1asXExPi5WgCXK8IOgIDJzs5Wjx49FBUVpdzcXMXGxqpdu3Z12nb16tW6++675Xa7tXfv3nquFMDljLADIGB2796t/v37S5I+/PBDz79/jWEYWrVqlcaPH69///d/14oVKzx9O3bs0P3336/S0lJZLBZZLBY9+eSTkn5+UOO9996rFi1aKDIyUkOHDtXhw4c92549I7Rp0yZ16tRJkZGRGjVqlH766SetWbNG7du3V4sWLfTwww+rurras92LL76ojh07KiIiQna7XaNGjfLD7ADwG78/Rx0ALuDo0aOGzWYzbDabERoaakRERBg2m80ICwszwsPDDZvNZkyePPmC+8jKyjIcDodRVVVl5OfnG82bNzfKysoMwzCM8vJyY9GiRYbVajWKioqMoqIi49SpU4ZhGMa//du/GV26dDE++OADIy8vz0hLSzOuuuoqo6KiwjAMw1i1apURGhpq3HzzzUZubq6xc+dOo2XLlsaQIUOMu+++2zhw4IDx1ltvGWFhYcb69esNwzCMffv2GcHBwca6deuMb775xsjNzTUWL15cjzMIwFchgQ5bAJqW+Ph45eXlye12q3fv3tq7d6+ioqLUs2dPvf3222rXrp2io6MvuI8VK1ZozJgxCg4O1jXXXKMOHTpow4YNuu+++xQWFiabzSaLxSKHw+HZ5vDhw3rzzTe1a9cuXX/99ZKktWvXKiEhQW+88YbuuusuSVJlZaWWLVumK6+8UpI0atQovfbaayouLlZ0dLSSk5N100036f3339fo0aNVUFCgqKgo3XbbbWrevLkSExPVq1evepo9ABeDy1gAGlRISIjat2+vzz//XH369FH37t3lcrlkt9t1ww03qH379mrVqtV5tz958qT++te/aty4cZ62cePGeV3Kqs3BgwcVEhKivn37etpatmypTp066eDBg562yMhIT9CRJLvdrvbt23sFMLvdrpKSEknSzTffrMTERHXo0EHjx4/X2rVr9dNPP9V9QgDUO87sAGhQXbt21dGjR1VZWamamhpFR0erqqpKVVVVio6OVmJiog4cOHDe7detW6czZ854hRbDMFRTU6MvvvhCV1999SXVFxoa6vXeYrHU2lZTUyNJat68uXJzc7Vjxw5t27ZN8+bN05NPPql9+/bxjTCgkeDMDoAGtXnzZuXl5cnhcOj1119XXl6errnmGi1atEh5eXnavHnzBbdfsWKFZs6cqby8PM/rH//4hwYOHKiVK1dKksLCwrxuIJakLl26qKqqyuubWz/88IMOHTqk5OTkSzqmkJAQpaamauHChfr000/1zTff6L333rukfQLwH87sAGhQiYmJcrlcKi4u1vDhw2WxWHTgwAGNHDlSbdq0ueC2eXl5ys3N1dq1a9W5c2evvnvuuUfz58/XM888o/bt26usrExZWVnq0aOHIiMj1bFjRw0fPlyTJk3SSy+9pObNm2v27Nm64oorNHz48Is+nk2bNunrr7/WDTfcoBYtWmjz5s2qqalRp06dLnqfAPyLMzsAGtyOHTvUp08fRURE6KOPPlLbtm1/NehIP5/VSU5OPifoSNKdd96pkpISbd68Wddff70eeughjR49Wq1bt9bChQslSatWrVJKSopuu+02OZ1OGYahzZs3n3OZyhcxMTH661//qkGDBqlLly5avny5/ud//kddu3a96H0C8C+LYRhGoIsAAACoL5zZAQAApkbYAQAApkbYAQAApkbYAQAApkbYAQAApkbYAQAApkbYAQAApkbYAQAApkbYAQAApkbYAQAApkbYAQAApvZ/U4kN0lrzVPYAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aplot.size_histogram(structures, bins=20, color='tomato', rwidth=0.8);" ] }, { "cell_type": "markdown", "id": "edc60c5b", "metadata": {}, "source": [ "### `lattice_parameter_histogram`\n", "\n", "Lattice parameters $a$, $b$, $c$ overlaid in one panel. `kde=True` adds a\n", "kernel-density estimate; `alpha` tames overlap between the three series." ] }, { "cell_type": "code", "execution_count": 5, "id": "dc37cd17", "metadata": { "execution": { "iopub.execute_input": "2026-05-04T23:33:49.749043Z", "iopub.status.busy": "2026-05-04T23:33:49.748873Z", "iopub.status.idle": "2026-05-04T23:33:50.097174Z", "shell.execute_reply": "2026-05-04T23:33:50.096498Z" } }, "outputs": [ { "data": { "image/png": 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OOukkDAYD1113XY/dEaJBkh0hhBBiMErMDFQ0/vSF6N3TmDCgAoZvvvlm8OvucjOxIMmOEEIIMRilFQa2bojjvbHihSQ7QgghxGCVVjgok49okwnKQgghhBjSJNkRQgghxJAmyY4QQgghhjRJdoQQQggxpEmyI4QQQoghTZIdIYQQQgxpkuwIIYQQYkiTOjsCXdc52OjA69eYoOsosQ5ICCFESGo6amhxt0TtfumWdPKT86N2v3CRZGcY0zSdX720l3UfHabJ4QHg7DEJ3KXbyI5xbEIIIfpX01HD0meX4va7o3ZPi8HCCxe8MOgSHkl2hrE/v32Qv7xTBoDZoKBpOhsOuNjCb/mzfS8npcQ4QCGEEEfU4m7B7XezsGgh6Zb0qNxvY+VGWtwtkuyIweHjqlZ+93IpALflb+M7zX9gvz6Cm5RV7HFnc+1n03k5+wBpZn+MIxVCCNGfdEs62Ynx2x+vaRq/+93v+POf/0xVVRW5ubl8//vf5//+7/+iFoMkO8OQw+3jR09+hE/T+aphG99rvhdFVZmiVPNv/018VfkVBz0F/O+eETw4oxLlKJN4yrQ8attt+M3mftu1uBLRPKHvliuEEGLwu/XWW3nkkUe45557OPXUU6mpqeHTTz+NagyS7AxDz2w/REWTkxFmB79S/oxSNBcueAiczVjXfpN79Qe50HMnL9Wl8Z9qOxeNaD3itSpcyVzguRu2h3LnfGAyh1u8TJacRwghhrz29nbuu+8+/vCHP3D55ZcDMGbMGE499dSoxiHJzjD07I7DAHxP+zepxk746u8hc0zgdd49TH/6cq43PsPvfBez+rN8vprXRoJB7/NaTs0EwPjMGhJSk/u9b6vTR2VtOp0eLbwPJIQQIi7t3bsXt9vNwoULYxqH1NkZZiqbnHxU2YqKxlLDFphxCeRN+7xB+igAvm9YT4GhjUaPiXXVR5/4lmjykGz19/tKMPsi9FRCCCHikdVqjXUIgCQ7w85zXb06J6u7yTF2wll9TxAzKX6+pzwPwCPl2Wh9d+wIIYQQRzRu3DisVisbN26MaRwyjDWM6LoeHML6mvoezLgYUkf23ThtFN9qeYP7/V/noNPKq/U2luTaoxitEEKIUESrqOCx3CchIYGbb76Zn/zkJ5jNZk455RQaGhrYvXs3y5cvj0CUfZNkZxg52OrjQIMDM17ONmyDiSv6bFem5eG3zWNs65NcaniVh3xf4579uYywenu37bRFOmwhhBB9SLekYzFY2FgZvV4Ti8Ey4Jo+t912G0ajkdtvv53q6mry8/P5wQ9+EKEI+ybJzjDydmWgyuZC9UNsZgVKTu/VpqzVx5meu+EznTfMb3Cl4b/8yXcen3ZYOW/zuD6uGjhmUGXSsRBCRFN+cj4vXPBC3G8Xoaoq//d//xfVujpfJsnOMLK7IdAzs9DwIYw5C0y9J445ulZKLcmop1KfyhmdGznReJBtvrFMTXEyLbWzR3u3q4Xk5gMcNJUg6Y4QQkRXfnL+oKtmHAsyQXkY2d8cWA11grIPJpzTb9sMo4eapKkAfF15HYBql5kci6/HK9vkIl3piGzgQgghxHGQZGcY8WqQRjslSh2MW3LU9jXmIjpUG2erWzGg0ew10uQxRCFSIYQQInwk2RlmZqn7UYpOguQQ9lFRVA5Yp2JTOpltKgdgX0dCZAMUQgghwkySnWHmBHUfjFsccvv9CYGCg8uUNwFJdoQQIlp0XQqcQXi+D5LsDDOzlP1QeFLI7Q9ZxuJWLHxVeVeGsoQQIgpMpsA2PE6nM8aRxIfu70P39+VYyGqsYaDTH8hpFTRmqAchf2bI52qKkRrzKEa5S5lirmOnJ59yp4VMs/wjFEKISDAYDKSlpVFfXw9AYmIiiqLEOKro03Udp9NJfX09aWlpGAzH/j/akuwMA00+CwATlEOkZBdCwsAKAR42j2aUu5S5hk/ZST6HOs3MTpNkRwghIiUvLw8gmPAMZ2lpacHvx7GSZGcYaPSagcDkZEbMHvD51ZbR0A5f0d/jEc6kutOEpoM6/P5HQwghokJRFPLz88nJycHr7V29frgwmUzH1aPTTZKdYSCY7Cj7YMTSAZ9fayrCj8qJ+h4SVD8uzUC920heguxiLoQQkWQwGMLyy364kwnKQ5yuQ6svkOxMVw/CiBMGfA2faqbeVIiq6EwwNQBwqNMc1jiFEEKISJFkZ4hz+lW8uoqKRrHaALlTj+k6hy2jAZhj+AyQZEcIIcTgIcnOENfsDXR/Fin16GlFYLQc03UOm0sAWKRvAaDaZcIvJSCEEEIMApLsDHHNnsC0rLHKYTrTJxzzdWq6kp2TtI+xqn68ukq9+9hrHgghhBDRIsnOENfSleyMUarpTDv2ZKfTkEyTMQdV0RlnbgKgqlOSHSGEEPFPkp0hrnsYK5DsjDuua9WaiwGYZSgLvHfJvB0hhBDxT5KdIa7VE/gRlyjVeJJHHte1GkwjADhB+RSAerdULhBCCBH/JNkZwjyaQrs/MNSUgAfdcHw9MfVdyc5cbQcKOg6/AYdfEh4hhBDxTZKdIay5a8PObFqoJfO4r9fds5On1ZFhClT0bPRaj/u6QgghRCRJsjOEtXi7Jier1RzQRxz39TyqlVZDIGkaZWoFoMGbcNzXFUIIISJJkp0h7PNl59Xs1wvCcs3u3p2J6iFAenaEEELEP0l2hrCWL6zE2q8df88OfD5vZ6YSqKTcIMmOEEKIOCfJzhDW0rUSa6xymANh7tmZq+0AdJyaCYd+bFWZhRBCiGiQZGeI8uvQ2jVnJ9dgp53EsFy33hxIdkb6D5FhCux6Xk96WK4thBBCRIIkO0OU3WtAQyURF4oavuJ/DjUVp5qMikaRqQ2Aej0tbNcXQgghwi2myc7q1auZM2cOKSkp5OTkcMEFF1BaWtqjjcvlYsWKFWRmZpKcnMxFF11EXV1djzaVlZV89atfJTExkZycHG666SZ8Pl80HyXu2H2B+TqFSj0NhpzwXVhRaDAFhsQmGGoAqNelZ0cIIUT8immys2nTJlasWMGWLVt49dVX8Xq9LF68GIfDEWxzww038MILL/D000+zadMmqqurufDCC4Of+/1+vvrVr+LxeHjvvfd47LHH+Nvf/sbtt98ei0eKG/auyckjlcbwJjtAvSlQiXmGsi/wnrSwXl8IIYQIp5iWv92wYUOP93/729/Iyclh+/btnH766bS1tfHXv/6VtWvXctZZZwGwZs0aJk2axJYtW5g3bx6vvPIKe/bs4bXXXiM3N5eZM2dy1113cfPNN/Pzn/8cs7n3EI7b7cbtdgff2+32yD5oDHyxZ6deDW+y02jKB2CmvheADhLxaaqMiQohhIhLcfX7qa0tMAckIyMDgO3bt+P1elm0aFGwzcSJEykqKmLz5s0AbN68mWnTppGbmxtss2TJEux2O7t37+7zPqtXryY1NTX4KiwsjNQjxUy7VwECPTvhTnaajYHvdbG/gkQ1UEm50yubggohhIhPcZPsaJrG9ddfzymnnMLUqVMBqK2txWw2k5aW1qNtbm4utbW1wTZfTHS6P+/+rC+33norbW1twVdVVVWYnyb2HF4dgBy1lQ4lOazXbjYGkqckrYMMQycATkl2hBBCxKm42cVxxYoVfPLJJ7zzzjsRv5fFYsFiGdq1Ydp8gR9tmtEHihLWa/tUC22GdFL9LYwwtHDIa5NkRwghRNyKi56dlStXsn79et544w1GjhwZPJ6Xl4fH46G1tbVH+7q6OvLy8oJtvrw6q/t9d5vhxqtBuxZI5pIilM52D2WNUgO9ZzKMJYQQIl7FNNnRdZ2VK1eybt06Xn/9dUpKSnp8Pnv2bEwmExs3bgweKy0tpbKykvnz5wMwf/58du3aRX19fbDNq6++is1mY/LkydF5kDjT3jU5OQUHmjm8Q1jdupOdCUolIMNYQggh4ldMh7FWrFjB2rVree6550hJSQnOsUlNTcVqtZKamsry5ctZtWoVGRkZ2Gw2rr32WubPn8+8efMAWLx4MZMnT+a73/0uv/nNb6itreWnP/0pK1asGPJDVUfy+bLzBtqMmaCF/x7NpkCv2XR9PwAunwm/Boa46CsUQgghPhfTZOehhx4CYMGCBT2Or1mzhiuuuAKAe+65B1VVueiii3C73SxZsoQ//vGPwbYGg4H169dzzTXXMH/+fJKSkrj88su58847o/UYcafN93mNnTZDhJKdrknKY7UKLHhwY8blUUlKiMDNhBBCiOMQ02RH1/WjtklISODBBx/kwQcfPGKb4uJiXnrppXCGNqi1ewPdK4VKPW3GYvCG/x5NpsAwVhp2smjjMNl0ug2S7AghhIg7MugwBHUvOx+hNNFuiMxWDm41CYeaAkC+0gSA022IyL2EEEKI4yHJzhDU0VVQMMvgRFMil4AEV2QpXSuy3PLXSQghRPyR305DUKvfBIDN5I/ofZq7hrLGK4cA6dkRQggRnyTZGWI8mkJHV42dRFNkf7xNXT07U9QyAFweFe3o07CEEEKIqIqbCsoiPOxdk5PTaMdrSunx2f5mHxxu6/f8/c2+kO/VPYw1SalCVTQ0XcXtUbFaZJKyEEKI+CHJzhBj/8Ky81ZjFgAmJdDdcv0rLfBKaNtxdJ/TnxZTYPl5quLAavTg8CbQKcmOEEKIOCPJzhDTXT15hNIQqLEDpJu8XKa+jHfSMkjM7P8CziZMe9eRbhoL9F+UsUO14cWISfGRanDg8Cbg9sjIqBBCiPgiyc4Q4+yqqZOvNNNmnBA8nq50QJIBUhL6v4BiAKUjtJspKi1qOjlaA7mGVqrJxOWRScpCCCHii/xv+BDj9gbm3GQp7bjVxIjfr6Wrjs9IpQGATunZEUIIEWekZ2eIcXbNL04x+miOwv2a1QwAxutVwDw8bkh0tffZNtEjc3mEEEJEnyQ7Q0x7V42dJIMelWSnpWte0ImevQC4vSqTyrahKr3b1utp7KAYU3tdFCITQgghAiTZGUJ0HVr9gTk5CeboDCc1mXPBCaMNNaheDT8GKm2jSDJ4erVtcRnBAYrXFZXYhBBCCJBkZ0jxaAouAj07ZpOpdwNn09EvEkqbL2gxBJa3Z2EnyeCm3W+lVUnBbOw9ydkn03mEEELEgCQ7Q0iHP5BNpNKBy2j7/AO1a4XU3hdCv5ga2qqqdjUZNwYs+ElXHbT7rXT4LOSYQ1zRJYQQQkSYJDtDSEdXjZ18pbnnbucmK4yYDVqIe2WphsA5oVBU6kihiFZy1RYqyaLD3399HiGEECKaJNkZQrpXYuUqzdi/mOxA6MnLMajtSnZGqg28zzhJdoQQQsQVmUUxhHg8gYqCOUobLjUpavetVZIBGE0NAA5JdoQQQsQRSXaGEJcvMEyVrnaC0sfa7wipJbDh6ESlEoAOvwVddj8XQggRJyTZGUIcvkCCYzP2XvYdSbVKINmZqh8EdHy6AbcuI6RCCCHigyQ7Q4jdbwYCBQWjqbtnJ1dvJlENJFoOnwxlCSGEiA8DTnY6OztxOp3B9xUVFdx777288sorYQ1MDFx3QUGrKbo5bCtW3BhR0UkzOABkkrIQQoi4MeDfiueffz6PP/44AK2trcydO5ff//73nH/++Tz00ENhD1CExqdDmx7Y+NPUV0HBSFIUmtVUALKVNgAcXb1MQgghRKwNONn58MMPOe200wB45plnyM3NpaKigscff5z7778/7AGK0Di6yhOb8eA3JUf9/k1KoIhhvhrYkUuSHSGEEPFiwMmO0+kkJSUwR+OVV17hwgsvRFVV5s2bR0VFRdgDFKHp6Ep28pVmOozpR2kdfk1qINkppAEApybJjhBCiPgw4GRn7NixPPvss1RVVfHyyy+zePFiAOrr67HZbEc5W0SK2xOoKJhLCx2GtKjfv0kJDGONUgK1dpzSsyOEECJODDjZuf3227nxxhsZNWoUJ510EvPnzwcCvTyzZs0Ke4AiND5vYBVUltqOX4n+su/unp3xVAGBZEdq7QghhIgHA/6t+PWvf51TTz2VmpoaZs6cGTy+cOFCli1bFs7YxAB0+jSgq6BgDDR3zdkZr1eioKOh4tJMWA3emMQjhBBCdDumNcr79u3j97//PaeccgqHDx8GoLS0lMbGxrAGJ0LXPUHZZoxNctHUtRorFWew1o4MZQkhhIgHA052/v3vf7NkyRKsVisffvghbrcbgLa2Nn71q1+FPUARGrs/sNw8MUaFi92KGYcS2Gw0VQ3U2nHIJGUhhBBxYMDJzi9+8QsefvhhHnnkkR71XE455RQ+/PDDsAYnQtfqDyQaVmP09sT6suaueTtZqh2Qnh0hhBDxYcDJTmlpKaeffnqv46mpqbS2toYjJjFAug6NeqC2jskc5YKCX9BdWDBfkVo7Qggh4seAk528vDz279/f6/g777zD6NGjwxKUGBinX8WPAQUN1ZQYszia1DQACpX6rrgk2RFCCBF7A052rrrqKq677jq2bt2KoihUV1fzxBNPcOONN3LNNddEIkZxFM5AiR2yacNpTI1ZHC1dtXZKCNTakZ4dIYQQ8WDA01lvueUWNE1j4cKFOJ1OTj/9dCwWCzfeeCPXXnttJGIUR+H1BiaJ5yotONXobxXRrXsYa9yXau0osZtGJIQQQgw82VEUhf/7v//jpptuYv/+/XR0dDB58mSSk2P3S3a483oCy82z1HZQkmIWR3eyM1kvB8CPAY9uwKL4YxaTEEIIMaBhLK/Xy8KFC9m3bx9ms5nJkydz0kknSaITY7EuKNitRU1BA5IVF1Y10Nvk8FtiGpMQQggxoGTHZDKxc+fOSMUijlGwoKDBE9M4/IoRuxLYJDZNdQIySVkIIUTsDXiC8ne+8x3++te/RiIWcYy6CwomG7UYR/L5UFa20gZIsiOEECL2Bjxnx+fz8eijj/Laa68xe/ZskpJ6zhG5++67wxacCE2rPwEAqwli27cTSHZG+w+Rpzazk1GyIksIIUTMDTjZ+eSTTzjhhBMA+Oyzz3p8psiym5ho1AJzpiwmU1wkOwCFdNXakS0jhBBCxNiAk5033ngjEnGIY+TVFJwEenYMpoQYR/N5stNda0eGsYQQQsTaMe16LuKHyx/oTUvBgdeUEuNoPk92xnIYAKc/dttXCCGEEHAMPTt33nlnv5/ffvvtxxyMGDjdH1jinae04FTjJ9mZQAUAHt2EX1cwKHoswxJCCDGMDTjZWbduXY/3Xq+XsrIyjEYjY8aMkWQnynR/YK+ILNWOrmTGOBqwK8n4MJCGA5Piw6sbcfrNpBjdsQ5NCCHEMDXgZOejjz7qdcxut3PFFVewbNmysAQlQufxB3pMMmJcULCbrii0qDaytRZsqpMmv02SHSGEEDEVljk7NpuNO+64g9tuuy0clxMD4NYCc3ZSDfGTTHQPZWUq7QB0ajJvRwghROyEbYJyW1sbbW1t4bqcCJGjK5FINsTP/lPdyU6u0gLIiiwhhBCxNeBhrPvvv7/He13Xqamp4e9//zvnnHNO2AIToWnTAsvNE00QL1OAu5OdEUojILV2hBBCxNaAk5177rmnx3tVVcnOzubyyy/n1ltvDVtgIjQteqCgoNlkIl4GsrqTnWJqAVl+LoQQIrYGnOy8+eabFBYWoqo9R8B0XaeqqoqUlNgvfx5OWvTAdh1Gkzl+kh0lkOyMCdbakZ4dIYQQsTPgOTujR4+msbGx1/Hm5mZKSkrCEpQIjYofHRUzXnRTcqzDCfpyYcFOzYweL2NsQgghhp0BJzv6EX5rdXR0kJAQ++0KhpM0OgDIUVroNMRPj5pTScCFmXylGQCfbsCrG2IclRBCiOEq5GGsVatWAYHNPm+//XYSExODn/n9frZu3crMmTMHdPO33nqL3/72t2zfvp2amhrWrVvHBRdcEPz8iiuu4LHHHutxzpIlS9iwYUPwfXNzM9deey0vvPACqqpy0UUXcd9995GcHD89HZFiw0kzqWQrdnQlfpIdFIVmNZUCrYFExY1Tt3QNZcVHLSAhhBDDS8jJTncxQV3X2bVrF2bz5/MwzGYzM2bM4MYbbxzQzR0OBzNmzOB73/seF154YZ9tzj77bNasWRN8b7FYenx+6aWXUlNTw6uvvorX6+XKK6/k6quvZu3atQOKZTCyKm7QIUN1AnGU7EAw2UlX23H6LXRqJhIk2RFCCBEDISc73budX3nlldx3333YbLbjvvk555xz1OXqFouFvLy8Pj/bu3cvGzZs4P333+fEE08E4IEHHuDcc8/ld7/7HQUFBccdYzwzoAHxVVCwW/e8nRyllcNk4fSbkUFOIYQQsTDgOTtr1qwJS6ITqjfffJOcnBwmTJjANddcQ1NTU/CzzZs3k5aWFkx0ABYtWoSqqmzduvWI13S73djt9h6vwUija8dzoy/GkfT2ea2dwM9LVmQJIYSIlQEnO6tXr+bRRx/tdfzRRx/l17/+dViC6nb22Wfz+OOPs3HjRn7961+zadMmzjnnHPz+QLXg2tpacnJyepxjNBrJyMigtra232dITU0NvgoLC8Mad7S4CSQQScb4W+rUnewUUgeAU7aMEEIIESMDTnb+9Kc/MXHixF7Hp0yZwsMPPxyWoLp961vf4mtf+xrTpk3jggsuYP369bz//vu8+eabx3XdW2+9Nbi9RVtbG1VVVeEJOMo6dCsAFuOAyyVFXLMa6P0bTQ0AndKzI4QQIkYGnOzU1taSn5/f63h2djY1NTVhCepIRo8eTVZWFvv37wcgLy+P+vr6Hm18Ph/Nzc1HnOcDgXlANputx2uw0XWd5q5JyUZz/CUSLV09OyVK4O+EbBkhhBAiVgac7BQWFvLuu+/2Ov7uu+9GfELwoUOHaGpqCiZb8+fPp7W1le3btwfbvP7662iaxty5cyMaS6zZO314CQwNqebEo7SOPo9ipkOxkh+cs2OSwoJCCCFiYsDjH1dddRXXX389Xq+Xs846C4CNGzfyk5/8hB//+McDulZHR0ewlwagrKyMHTt2kJGRQUZGBnfccQcXXXQReXl5HDhwgJ/85CeMHTuWJUuWADBp0iTOPvtsrrrqKh5++GG8Xi8rV67kW9/61pBfidXW1gIoZNKGO44KCn5RYPl5PQoaOioePf6G24QQQgx9A/7tc9NNN9HU1MQPf/hDPB4PAAkJCdx8880D3gj0gw8+4Mwzzwy+7y5cePnll/PQQw+xc+dOHnvsMVpbWykoKGDx4sXcddddPWrtPPHEE6xcuZKFCxcGiwp+eWf2oajFbgdSyVHa0BXLUdvHQotqo0ipJVVx0qon49JlKEsIIUT0DTjZURSFX//619x2223s3bsXq9XKuHHjehX7C8WCBQuOuP0EwMsvv3zUa2RkZAyLAoJf1tzuAFJJVx1AfCY73RuCZqlttPqTccm8HSGEEDFwzOMKycnJzJkzJ5yxiAFodngBsCmumMXgx89e08eUZ+1jn8WFUTdS7B7HCPcoVAzBScr5SjP7GYFbl+XnQgghom/Ayc6dd97Z7+e33377MQcjQtfYGaienGzwxuT+HbTzhnE9DWotfKHDZrdxOwcS9jKr45Qv1NoJrJiTnh0hhBCxMOBkZ926dT3ee71eysrKMBqNjBkzRpKdKGl0B3YRt6jRX+LUqNTxsvE/uBUXJt1MZusI8pURdJo6KLN+isvg5MOUtyn0nQDAqK5aOzJnRwghRCwMONnp3hD0i+x2O1dccQXLli0LS1Di6Bq8gZ2mTAYlqvd10clG4wu4FReZWg7zXWdR0X6IdGs2uVoBI90lbLG9ToexjY0pu7jNDkWK9OwIIYSInQHX2emLzWbjjjvu4LbbbgvH5UQI6nzJAKiG6M2D0dB40/gSDqUdm57GOb6vk6z3LMhoxMTsjtOwaAk0mdtpUk3B/bFcMmdHCCFEDIQl2QGCWy+IyHN2umgnUEjQb7BG7b4fq1upVisx6kYW+pZiPsIqMKuWyKz2U0CHKpMSLCzokWRHCCFEDAx4GOvLNWx0Xaempoa///3vnHPOOWELTBxZbc1hAJLoxBulZKeNFj42bAPgFP8i0vWsftun+TMZ4RlFtbGRGdgx4sN37Iv/hBBCiGM24N8+99xzT4/3qqqSnZ3N5ZdfPuCiguLY1NRWA5BFG7oSts65fm01bkJTNEZooxit9d4Iti/jnFM5bPwYRYEMtY16LTPCUQohhBC9DSjZ8Xq9lJSU8PDDDzN+/PhIxSSO4nBDE2AiTekgGgUFK5WDHFLLUHWVeb4FKIQ2KTpBT8StjwDayFIbJNkRQggREwPqFjCZTOzatQtVjU5vguhbTXM7AIm4I34vDT9bjW8CMEU7gVTSB3S+wT8BgBE0hjs0IYQQIiQDzlq+853v8Je//CUSsYgQ1dgDe5IZFH/E77VP3UO70kaCnshM/8B3km9TMgAYQ0O4QxNCCCFCMuA5Oz6fj0cffZTXXnuN2bNnk5SU1OPzu+++O2zBib4d7ggUEtT1yNbY8eMPTkqe7p+DiYHXyWlVbWhAEYEVWSixqfgshBBi+BpwsvPJJ59wwgmByrifffZZj88UJboF7oarGlcg6XAT2aXc+9TddCh2rHoiE7Xpx3QNv2LArqQEl58raicQveXyQgghxICTnTfeeCMScYgQ6bpOtTdQUNCuJ0bsPl/u1TEex7LxZjWVEUpgzo6um/DpvrDEKIQQQoRiwHN2Kisr0fW+92OqrKw87oBE/+yOTpxdK7CasR2l9bE7oO7FobRj1ZOYcIy9Ot1aVBv5SnPgjWZlV/v+MEQohBBChGbAyU5JSQkNDb0nmzY1NVFSUhKWoMSRHT58CIBM7DRFKNnR0fnEsB2Aqf4TjqtXBwI9OylKJwl0AvBBc/nxhiiEEEKEbMDJjq7rfc7N6ejoICEhISxBiSOrqasDIM/Qhh6+3T56qFLKaFWaMelmJmjTjvt6zWogKctVWgH4zN6E0+s87usKIYQQoQj5f9lXrVoFBCYh33bbbSQmfj5fxO/3s3XrVmbOnBn2AEVP1V0FBfNMTnZHaOV5d6/OBG3aEfe/GohmNRWAAqWZCj0fjzeZtw69xdklZx/3tYUQQoijCTnZ+eijj4BAz86uXbswmz9fhmw2m5kxYwY33nhj+CMUPVS3dADp5Fi84Ar/9RuUWmrVQyi6yhT/rLBcs6Ur2SlS6tjMFHRvGv8t+68kO0IIIaIi5GSnexXWlVdeyX333YfNFrnJseLIqu2BOjXZViACm8zvUj8AYIw2gSRSwnLNNiUFPwqFSmCul+ZN453Dz9PuaSfFHJ57CCGEEEcy4Ekfa9askUQnhmocgT+zEsNfY8dOKxVqYKXUVO3EsF1XU1TalJTgiiyTPxuP5uGNKiljIIQQIvJCTnY2b97M+vXrexx7/PHHKSkpIScnh6uvvhq3O/J7NQ13h92BOTSZtvAX5ttt+Ahd0RmhjSJDzwrrtZvVVPK7qigb/IENQV+vfD2s9xBCCCH6EnKyc+edd7J79+7g+127drF8+XIWLVrELbfcwgsvvMDq1asjEqQI8Gs6db5AQcGM1PAO/7joZJ/6CQDT/LPDem0IJDsFXVWUXe5EdB3eq34Pt18SZCGEEJEVcrKzY8cOFi5cGHz/5JNPMnfuXB555BFWrVrF/fffz7/+9a+IBCkCGlo78GHAgJ+UtPD2vHyqfoxP8ZGp5ZCvF4b12hCYpJzXNYzl01SyzEV0+jp5v/b9sN9LCCGE+KKQk52WlhZyc3OD7zdt2sQ555wTfD9nzhyqqqrCG53oobrmMAB5SgskpIXtuj587DHsAGCadiIK4d/jrFm1kaB4sdEBwIyMBQC8WfVm2O8lhBBCfFHIyU5ubi5lZWUAeDwePvzwQ+bNmxf8vL29HZMpshtTDnfVXQUFC4ztoAR+dG7NjdPrOOrL5TvyOvV96m5cSifJuo1R2riIxN5da6d7knJJUmCobNOhTUfcfkQIIYQIh5CXnp977rnccsst/PrXv+bZZ58lMTGR0047Lfj5zp07GTNmTESCFAHVDS2AifwEL42dgY01D7UfprazPaTzp2VNI8HYs8q1hvaFrSFmo0aoKnN3rZ1ipY5SvYgUpZAEQwK1jlpKW0qZmDExIvcVQgghQk527rrrLi688ELOOOMMkpOTeeyxx3oUFnz00UdZvHhxRIIUAVUtDiCNwiQNl98DmEgyJWE7yjYdPt1Hi6sFTe9dcrlc3Ue70oZFT2C8NiUygQN2JRkfanCSckO7n/kF83mj6g3erHpTkh0hhBARE3Kyk5WVxVtvvUVbWxvJyckYDIYenz/99NMkJyeHPUDxuaq2QLJSlP75Fg4GRcVsOEpvzBG2ldDRg0UEJ/tnYiRyw5C6otDI5yuyqls7WXDiAt6oeoO3D73ND2b8IGL3FkIIMbwNeMwiNTW1V6IDkJGR0aOnR4RfpTOQmxZmpYbletVKJU1qPUbdyCRtZliu2Z9GJZUCJTD8VtPWyckFJwPwSdMntLkjUA5aCCGE4BiSHREbmqZzyJ0EQGF+XliuucsQ6NUZr00lgfAXKfyyeiUtOEG5utVFXlIeY9PGoukaW2u2Rvz+QgghhqdjSnZWrlxJc3NzuGMR/ahrd+HBiBEf+SOOvw5Oo1JHtVqJoitM8Z8QhgiProG04DBWrd2FX9OZXzAfCBQYFEIIISIh5GTn0KFDwa/Xrl1LR0egXsq0adOkvk4UVNXUA1CgNGFMP/5kZ5caWIFVok0ghfAMix1Ng5JGDi0Y8OPXdBra3cGhrM3Vm2UJuhBCiIgIOdmZOHEixcXFfPvb38blcgUTnPLycrxeb8QCFAGV1dUAFBlawJx0XNey00q5+hkQKCIYLfVKGgZFJ1dpBaC6rZPZubMxqSaqHdWU28ujFosQQojhI+Rkp7W1laeffprZs2ejaRrnnnsu48ePx+128/LLL1PXVfBOREZlXWDYsNB65OKAofrYsC244Wemnn3c1wtVQ1cPUgGBScrVrZ1YjVZOyA0Mo8lQlhBCiEgIOdnxer2cdNJJ/PjHP8ZqtfLRRx+xZs0aDAYDjz76KCUlJUyYMCGSsQ5rh5odABQe5+p+O63sV/cAMMs/7yitw8urmKjV0z9fkdUaSNy+OJQlhBBChFvIdXbS0tKYOXMmp5xyCh6Ph87OTk455RSMRiNPPfUUI0aM4P33ZVPHSKm0d9XYyTi+VVMfG7YGe3Vy9PxwhDYgFXou+d21dto6gUCyc8/2e9hWuw2v34vJINuOCCGECJ+Qe3YOHz7MT3/6UywWCz6fj9mzZ3PaaacF98lSFIVTTz01krEOa5WOQAJQdBw1dtqVNvarewE4wT8/LHENVKWWQ0Fw+Xkg2RmfPp7MhEw6fZ3saNgRk7iEEEIMXSEnO1lZWSxdupTVq1eTmJjI+++/z7XXXouiKNx4442kpqZyxhlnRDLWYcvl9VPvC/ToHE+NnU/M29EVnZFaCdl6eGr1DFSFnvuFwoKBYSxVUYNL0GUoSwghRLgdc1HB1NRUvvnNb2IymXj99dcpKyvjhz/8YThjE10OtTgBSMFJWs7IY7pGp6mDCuN+IHa9OgCVXxzGav18snX3vJ13q9+NSVxCCCGGrmNKdnbu3MnIkYFfusXFxZhMJvLy8rj44ovDGpwIqKxrAaBQqUdJLzqma9SmlQMw2j+RLD03XKENWIX++TBWY4cbty8wF2lefmCy9N6mvTS7pGClEEKI8DmmZKewsBBVDZz6ySefUFh4/EXuxJFVVtcAUGhogYS0AZ/fZKqjw9qKqqvM9p8c5ugGpkLPJZ12EnADUNs1lJWdmM349PHo6LJ1hBBCiLCSvbEGgar6QM9OkdUNijKgczU09id/AsBY3+SoVUs+klaS8ZkSv7D7ee+hLKm3I4QQIpwk2RkEKlu6auykDCzRAShPKMVhtGPwG5niic4eWP1TcFqzgxuC1nQtPwd67JMlW0cIIYQIF0l2BoGDrYFf/KMyLAM6z6G2s98aKCCY31qChYSwx3YsnNac4Iqs7uXnALNzZ2MxWKh31nOg9UCswhNCCDHEhFxUUBybCnsFDq8jpLZJpiSKbcU9jvn8GpWdgSRnTG5ayPfV0dmTtB1N8ZPuySbNkUOc5Do4E/PIp7uw4OfDWBaDhdm5s3mv+j0212xmbPrYWIUohBBiCJFkJ4Iq7BWct+68AZ2zftn6HglPVUsnXl0lATf5eaFXPK42V9BkqkfVDUxon4mDzqOfFCWOxDwKlH0A1LT2jOvkgpN5r/o93qt+j+9O/m4swhNCCDHESLITQd09OguLFpJuSe+3bYu7hY2VG3v1Ah1s6ACgRKlBzQxtJZVbcfFp4g4AxnZOJlFLjq9kJymfAmUL0HOCMny+BH173XY8fg9mgznq8QkhhBhaJNmJgnRLOtmJx7a7+IGawETeMUoNpJeEdM6niTvwqh5SfGmMck3Ah/+Y7h0pjsQ8RgX3x3L2+Kx764gmVxM76ndwUv5JsQhRCCHEECITlOPcwep6AEabmsGadtT2DaYaaiyVoCtMdZyIGoc/Yp8pifykwNftLj/tLm/wM0VRPt86oka2jhBCCHH84u83oeihexhrTOrRl2L78LEn8UMAit1jSfVnRDS245GUXUwqgWeraes5lCX1doQQQoSTJDtx7kBLYAhqTObRl53vt35Cp8FBgj+Rcc6pkQ7t+GSO+cIeWT3nE31x64gWV0vUQxNCCDG0xDTZeeutt1i6dCkFBQUoisKzzz7b43Nd17n99tvJz8/HarWyaNEi9u3b16NNc3Mzl156KTabjbS0NJYvX05HR0cUnyJy2pxemjwGAEpyM/tva2imPCHwvZninI0RU8TjOy6Z44JVlL/cs5OdmM3YtLGydYQQQoiwiGmy43A4mDFjBg8++GCfn//mN7/h/vvv5+GHH2br1q0kJSWxZMkSXK7Pfzleeuml7N69m1dffZX169fz1ltvcfXVV0frESLqQGMgacujiaTsI28AqqGxO+kDUHTy3IVke0Nfoh4zWeO+sGVE75Vi3UNZMm9HCCHE8YppsnPOOefwi1/8gmXLlvX6TNd17r33Xn76059y/vnnM336dB5//HGqq6uDPUB79+5lw4YN/OUvf2Hu3LmceuqpPPDAAzz55JNUV1dH+WnC70B913wdtQbSRx2xXUXCZ9iNrZg0M5Ocs6IU3XHKHHfEYSyQrSOEEEKET9zO2SkrK6O2tpZFixYFj6WmpjJ37lw2bw783/7mzZtJS0vjxBNPDLZZtGgRqqqydeuRhz/cbjd2u73HKx4dbGgHYLRSDRl9Lzt3GTrYZ90NwATndCz68ZdJdvlcOL2OkF6dPtfRL9iX9FGMUALzcQ43tvX6eHbubEyqiVpHLeX28uN4GiGEEMNd3NbZqa2tBSA3N7fH8dzc3OBntbW15OTk9PjcaDSSkZERbNOX1atXc8cdd4Q54vA7WBPo+Rit1oNtRB8tdMrTA1tCZHizGeEJrQ5Pf1w+F7sadw34PHWAu7FjNFOYqkIjVDX33k7DarRyQs4JbK3dynvV71GSevzPJoQQYniK256dSLr11ltpa2sLvqqqqmIdUp+6h7FGp/hBNfT63GjbQVtCHaquMsVxIgoD3xX9yzQ9sPorPSGdbGt2SK/cxByM6sDz5qKsNACqOzTcvt6FD7uHsrZUbzn2BxJCCDHsxW2yk5eXB0BdXV2P43V1dcHP8vLyqK+v7/G5z+ejubk52KYvFosFm83W4xVvvH6NCnsgARid2XtoyuF3YMldD8CYzskkaSlhvb9RMWI2mEJ6HUuiA5CVO5JEXOgoHGo58rydbbXb8GreXp8LIYQQoYjbZKekpIS8vDw2btwYPGa329m6dSvz5wd+Cc6fP5/W1la2b98ebPP666+jaRpz586NeszhVNbowKspJONkRE5Wr89faNyAanRg9aZS4poQgwiPn5I9liIlkMxWNjl7fT4xYyLplnScPic7G3ZGOzwhhBBDREyTnY6ODnbs2MGOHTuAwKTkHTt2UFlZiaIoXH/99fziF7/g+eefZ9euXVx22WUUFBRwwQUXADBp0iTOPvtsrrrqKrZt28a7777LypUr+da3vkVBQUHsHiwMPq0NTE4erxxCzew5X+X92vfZ3rEDXVcoaTkRld5DXINC9kSKu5Kdiqbe83ZURQ0WGNxcLUvQhRBCHJuYJjsffPABs2bNYtaswHLpVatWMWvWLG6//XYAfvKTn3Dttddy9dVXM2fOHDo6OtiwYQMJCZ8P6zzxxBNMnDiRhQsXcu6553Lqqafy5z//OSbPE06ltYEVYhPUqh7Lzr2al19u+WXg69a5pHj6LzYY17InUqwEhiEr6lv7bPLFJehCCCHEsYjpaqwFCxb0W0NFURTuvPNO7rzzziO2ycjIYO3atZEIL6Y+rQn07ExSKnvsdr5271oOtB0gSU2kvX4xJH0aqxCPX2IGRVYXdEBFbWOfTbqLC37S+AnNrmYyEuJ3vy8hhBDxKW7n7Ax3n9YEas98sWenwdnAQx8/BMC5mYtBS4xVeGFTnBnY/ryiufecHYDcpFwmpE9AR+fdw+9GMzQhhBBDhCQ7ccju8nK4zQ3AxBQvWJIB+MOOP+DwOpieNZ0TUwZJpeSjKM4P1Emq6lDRtL57+U4beRoAbx9+O2pxCSGEGDok2YlDn3VNTs6nidTswETrA60HeHb/swDcNOcmVGVo/OgKCsdgxIdHV6m1912N+bQRgWTn3cPv4td61+MRQggh+jM0fmMOMd0rsSaoVZA5FoB7t9+LpmssKlrEzJyZMYwuvIz5kxmpBObrVPSx/BxgevZ0Uswp2D32Y6ruLIQQYniTZCcOlXYnO0olZI1je9123jz0JgbFwI9O+FGMowuzrAmf19qp7nuLD6Nq5JSCUwB469BbUQtNCCHE0CDJThz6tGvZ+SS1Cj1jDPd/eD8AF467cOjtEWVOpDghMHxVcfjwEZt1z9t55/A7UQlLCCHE0BG3G4EOV7qufz6MpVSyS+/kw/oPMakmvj/9+zGOLjzqnXXsadoTfJ+b4gcnlNbU9jieZEqi2FYMwCkFp6CgsLd5L3WOOnKTcntdVwghhOiLJDtxprHdT7vLhxEfYwz1/KjiRSDQqzPYf8F3b1T6VOlT/LbmD8HjX3EXAydT2tjBxesv7nHO+mXrKbYVk2nNZFr2NHY27GTToU18c8I3oxm6EEKIQUySnThzsMEDwBilGi01l3drt2JUjFw59coYR3b8DF07t5+UdxInjbAGj2cY6qAVWrUcvj726ygKtLhb2Fi5EYf3820kziw8k50NO3m98nVJdoQQQoRM5uzEmf21gfo6U5Ry9qkaAOeNOY8RySNiGVZYpZhtZCdmB1+pI3NR0OjQrSSpgWPplvRe551VdBYAW2u30uHpiHbYQgghBilJduLMgfpAz85UtZwP/G0oKCyfujzGUUWWw5bBiK7l5+66ziO2G506mlG2Ufg0H+9Uy0RlIYQQoZFkJ87s6+rZmaaWUWE0cUbhGYxKHRXboCJMVw0UmZsB6Kzvu7BgtzMLzwTgjco3Ih6XEEKIoUHm7ESY5smksTURv8vcb7sWVyJ+ZyFNHX4UNCYpFTxosnHuiNN6rFDqVu+sA0ZGKOroy0l2ghvaWhX6G7A7s+hM1uxew9uH3sareTGppqjFKIQQYnCSZCeCDrd4cRy4iRcOhNI6H5gMQIlSS7LiotyUyV1b7uqzdZE9G/hx1wqnI+8cP1ikpQNNUNuR2PVd6Nv0rOlkJGTQ7Grm/dr3g7uiCyGEEEciyU4EdXoCE4yL8lpIS+z/W93pVtl3OLAD+DSljA5FoTj/RM5MG9P3CYc72X24e4WTL5xhx4Ql1wr7ocqbiaq1HrGdQTVwZuGZ/Hvfv3ml/BVJdoQQQhyVzNmJggSzj2Srv9+X1aIF209Vy6gwmzkhb3aPVUtffKWYbTF8ovBLyAksRa/TM7A2Nfbb9uySswHYWLkRr+aNeGxCCCEGN0l24tBUpYym5OxhNR/FYlHIMgS2yfB2VZA+khNzTyQjIYNWdyvbarZFIzwhhBCDmCQ7ccLn//zryWoFnszRYb9Hp8+F0+vo99Xp6381VCQVJASSnY4mf7/tjKqRrxR/BYCXy1+OeFxCCCEGN5mzEyc63YHqwgVKHamKE3dG+Db8VJXANg0H2w4O+Jxoykz1ggOa7Kaj/sVcMmoJT5U+xWuVr3HbvNswGYZPL5gQQoiBkWQnTnR6Ap1sM5VAQtKcEr59sIyqkdzEHDQ9tFVbqqJgVKP/VyMp0wTVcMiVxlh//z1MJ+ScQJY1i8bORjbXbOb0kadHKUohhBCDjQxjxYkOd6By8jS1HI/BRHtialivb1SNmA2mkF6xSHQAkrMCvVv79RHk2+v7bWtQDSwuXgzAS2UvRTw2IYQQg5ckO3Gi0xMYNpqmlNGSkgvK8PvRZKYGltAf0rPIa6o7avvzRp8HwMaKjbJXlhBCiCMafr9R45DXp+H3pgAwRS2nJSUnxhHFRqJFI9noRkdFbTj6ROmpWVMpSS3B5XfxSsUrUYhQCCHEYCTJThxocDUAkKE2ka500GwL33ydwURRINsW2BustS0B01HmGCmKwvljzgfguf3PRTw+IYQQg5MkO3GgpTNQV2ayUglA8zDt2QHIzAokOHv9xcxwuY/a/rzR56EqKh/Wf0ilvTLS4QkhhBiEJNmJMU334nQFlk3PUfYDDNueHYC8jMBE7Z3aaOa4jj6UlZuUy/z8+QA8f+D5iMYmhBBicJJkJ8bs7MfvygdgunIQt2qmwxrelViDSXeys0cv5kRnaFtBnD+2ayjrwHP4tf4LEgohhBh+JNmJsRbfPjRPFhDYE6shaXiuxOqWnuLDYvTjxozVlYXiPXrvzllFZ5FmSaPWUcumQ5uiEKUQQojBZPj+Vo0Dft1Nm9sFqNjUDrIVO/WJebEOK6YUBXK6enf2aqNJrNl51HMsBgvLxi0D4KnSpyIanxBCiMFHkp0YaudgcAhrnFoDQH1SfixDigt56YFkZ5deQlLl1pDO+eb4b6Kg8F71e5S3lUcwOiGEEIONJDsxZNdL8bsKAJil7AOgVpKd4LydXVoJtgNvQgjbXIxMGclpI08DpHdHCCFET5LsxIime2nnAJprBADz2ANAbXJBLMOKC7lfmKSstNVBzY6QzvvWhG8BgZo7Tq8zUuEJIYQYZCTZiZEOyvFroLkDNXWmqmXU6uk4Tckxjiz20pN9mIw+PJjZp4+A3c+GdN4pI06hKKWIdm876/avi2yQQgghBg1JdqIg0eMk0dXe4+XwfYLmzgNUklQXubSwVyuKdahxQVEgMy3QM7NLGw17ng1pKEtVVC6fcjkAj+1+DK8W2tJ1IYQQQ5skOxFkag9sZjmpfj9TyrcFX5PKt3TV1wkMWY3XK1EU2KsXk9zZEsuQ40ZWaiDZ2c5EaCmH2qOvyoJAzZ3MhExqHDVsKNsQwQiFEEIMFpLsRFB3jZgWq42GtILgqzTbgsfgh85CAKYYAtsc7NWKMPqkNwIgLyuwhca7yszAgRCHsiwGC9+Z/B0AHv3kUTRdi0B0QgghBhNJdqLApxrwGi3BV7U1sPGn0hkYtpqj7AVgry7DWN3yMtsBP4e9Nqq0bNj5L/D7Qjr3mxO+SZIpif2t+9lUJUUGhRBiuJNkJ8p0dOpN1ei6ituTCcBM5QBeDJTpsuy8m8mooVqrAHjPNBfsh2BvaHtf2cw2Lp5wMQAP7nhQeneEEGKYk2QnyhyqnU6DA1x56BhIUDwUKfVUK9n4McQ6vLhiTDoAwHu2cwIHNv8hpInKAFdOuZJkUzKlLaW8UvFKpEIUQggxCEiyE2X15moAEhwTAShW61EUOKTkxDKsuGRI7Ep22nPQVQsc3g5V20I6Ny0hjcsmXwbAgx89iE8LbQhMCCHE0GOMdQDDTb0pkOwYOksAmKRWAJLs9MVgrcBiVGjo8LJ/xpWMK30YtjwIRXN7ta2wV+DwOnocm5M3h5Q9KZTby/nTzj9xZuGZwc+STEkU24oj/gxCCCFiT5KdKHIrLlqNTQB4uooJnkgpAIdUSXa+TFH9TB5h4aMKF++mX8A4Hoa9L0DNTsifHmxXYa/gvHXn9Xuthz9+mIc/frjHsfXL1kvCI4QQw4AkO1HUYKoBBVK86dT5ApWST+paiVWl5MYytLg1o9gaSHbqTVwx5ULY/R94cRV87xVQA6Ow3T06C4sWkm5J73G+X/PzSsUrOHwOJmZMZGrmVFrcLWys3NirJ0gIIcTQJHN2oqjRFNjZ3NY5Ab9uwIiP0UoN9Wo6LsUS4+ji0+xRVgDe3tdAx4K7wJwCh96Hjx7v0a7I62WS28MkT8/XVJ+fc9MnA7Cv+TPyna1Mcnso8ko9IyGEGC6kZydKNDQaTYGKykbHGAAKDY0YFY3DBunVOZLROWZGZyVxsNHBq4dg2Vn/BxtugVd/BhPOheQczK1VvHioBg490ec1dKAyL4et1gQ+/ex57q5v5PvA/tYqyJwc1ecRQggRfZLsREmrsQmf6sWkmfF4sgGYqAQqJx825AZ+I4teyuxlzB+fzsFGeGLbZ0y48BRKssZhbdyH8x/LqFj2AA3NnzEW2JM9Fj0xvc/rXISXbXozryYl8o+80Xyn9iCqR3ZGF0KI4UCSnShp6BrCyvLm0epLBOBEpWtysiEXZGV0DyaDCYBb374VzZ0F3MgHZR184/n/pSShg3+oKmm1n1D5+Fd51JbC6YDLkoQ/wdbn9bKAxT6Nl7VWHknws0xRovYsQgghYkuSnSgJJjuefMq8gWRnbtfk5MOGnGGV7NQ7rJibzUdplcO5Iy8n0RqYRPxCs4PG1iSmJVzGpJIG1uUd4rLtz7DE4aQoMR+ow2Iw019fzQWGTLZrHTQqPv6Qnso3wvVAQggh4pokO1HgNjjoMLaBrpDkLsKrG1HRGKccolFNw6UkxDrEqDAqfgCe3DkeQtrEPJ//+ephMlJ8TCtx88ZHSVTV5HL6FOhMzOYNHRZuf5pJDYHig+pR9s6yKCqXGXO421fNE7YUcuo/wJUz4ahRSE0eIYQY3CTZiYLWhFoA0nwZODxpABQYmrAoPvZ+aXJyaL0e4HFYwx5npNkMLi5TX+bTghm4zEn9tu10q+w7nITHG1gwOLHIyRsfpXO4MYGGVhPZaV4+K5yF25jA4g/+icnvZUzNbsryJ2NPyjzidaeqSZyimXlX9fBA2XPcXR7afltSk0cIIQYvSXaioDUhMISV7c2npWu+zgTlENA1hMWx9Xp88bzBIl3pwGbxYkwYWNwpVj8TCp2UViXx3u5Uzj+lEYCK/Em8PusilnzwJGa/hwmHdtCUksuh7LF4TH33mC0nlYO+GmqMRkpsJczOnX3E+0pNHiGEGPwk2Yk0xYfdElhynu3NZ2fXfJ0TlM8AOGzIAwbW6wGQ4HEwsfpjfAYbXoZHjZ6Tp7RRWpVEaVUijW0mslIDtXLakrMAaEzJJbO9jsz2OtI7GqhLG0lN5ij8XZOduyWi8ouGJpbn51JmL2NixkRGpY6K9uMIIYSIEikqGGGGxDI01Y9FSyDFn0aLLzD8NE/ZA/TcJqK71yPZ6j/qy2bxkq50xOSZjpfV4yDR1d7vK8HTuyclO83L+JEOQOG93am9Pq/LKGJP8Rzs1jRUXSO/pZLpB98jr6kcVevZk3SSy828lNEAvF71Oh2ewfm9FEIIcXRxnez8/Oc/R1GUHq+JEycGP3e5XKxYsYLMzEySk5O56KKLqKuri2HEvRmTPgUgy5uP22/CpZkBnYlKJY1qGp3q4Jt7c6w0JfDXbXT1bqaUb+v3NaZ6NwDJnS09rnHylDYAPq1MpL61Z48NgDPBRmnhCZSOnInTkoxR81HYeIBpZZvJaj0MuhZse1b6ZLKt2bj9bl6teBW/PriGBIUQQoQmrpMdgClTplBTUxN8vfPOO8HPbrjhBl544QWefvppNm3aRHV1NRdeeGEMo+3NmByopZPt+Xy+Tq7aSpLipqprCGu48BtM1KWPpCGt4Kgve1dxQKOv57YOOemf9+68uDkLr6+PejmKgj0pk93FJ3EwbzJuYwJmn5uSuk+ZWr6VFGcggTIoKouLF2NWzdQ6a9laszXS3wIhhBAxEPdzdoxGI3l5vZOCtrY2/vrXv7J27VrOOussANasWcOkSZPYsmUL8+bNO+I13W43brc7+N5ut4c/cKDR24RqaUTRFTJ9Oezvmq8zSQ1UTq405EfkvvHMbzARSv+J33fkv5pfObGZQw0JNLSZefPjNC4Zc6jvhopCU2o+zSm55LQeIr+5HKvHSVHDfgBG1u+DnHF8LWM6zzR+wMcNHzNaNzI1aUTwEgZXi+yjJYQQg1zcJzv79u2joKCAhIQE5s+fz+rVqykqKmL79u14vV4WLVoUbDtx4kSKiorYvHlzv8nO6tWrueOOOyIe+6eOwCTkZHcWJt0cnK9zIoHenuHWsxMuSQka585r5JlNuXy0z8ZEaxbf7Ke9rqrUZRTRmFpAXnMFeS2VqLrGyXtehj0vA2BLT+XRtFT+W/8+l9asZ4Ln8wRH9tESQojBLa6HsebOncvf/vY3NmzYwEMPPURZWRmnnXYa7e3t1NbWYjabSUtL63FObm4utbW1/V731ltvpa2tLfiqqqqKSPx7nYFkJ90V6MFp+cJKLD9KcNm5GLjR+S7mTAjM33ly5zj+6TvzqOf4DUYOZ49hZ8l87Na04PGOhBSWJI1ihm7Gpar8oGAE7xafwO7iOezJHgsg+2gJIcQgFtc9O+ecc07w6+nTpzN37lyKi4v517/+hdV67BN7LRYLFktkl2t7NS+H3dUApLry8RgNOLXAPaeo5dSo2fiU3hNsrX2sQupLqO2GsjNmtOL2quw8mMKtvqu4qOF9lo3YjUXtf6DMa0qgtPAEMu21FNeVkuxqZ2ztp1xfMIWbDW3UK15+o3bwE+MILD5XlJ5GCCFEpMR1svNlaWlpjB8/nv379/OVr3wFj8dDa2trj96durq6Puf4RJtJNfHTUTdx3RvVWA2ttOiBXp1spZVUxcke47ge7b+4Umkgus8bjlQVlsxpJltpZeOBQv7dPIdN7ZP4dv77zEstx6RqRz65az6PIyGFsdW7sHqczKr6mF8UTOIGs5+Duou/+Ou4Jr47P4UQQoRgUCU7HR0dHDhwgO9+97vMnj0bk8nExo0bueiiiwAoLS2lsrKS+fPnxzjSAKNixO8cg5LyIa1d83W6Jyd/eb5O90olVe/nF/SXaIraq2DeUGNzNmNr7b8X61t59Zxe8Rr36t+k0ZvM/ZVn8qjBxayUKqYm11CU0Ix6xE3OM/ksu4CTm94j31XHSYf3cEvmdH6W0sIHWgd/Io0sLfbJsxBCiGMX18nOjTfeyNKlSykuLqa6upqf/exnGAwGLrnkElJTU1m+fDmrVq0iIyMDm83Gtddey/z58/udnBwr3fN1ZiuBycmVfUxODnWl0nCgKYHsZN7eV5laWt5v2zItj6t8d/c41uFP4O3WcbzdOu4IZ/VkYhn3mP7IeYYtnNe4k/VtF7C18AO2mVs5O+U8/mKH0cf0JEIIIWItrpOdQ4cOcckll9DU1ER2djannnoqW7ZsITs7G4B77rkHVVW56KKLcLvdLFmyhD/+8Y8xjrpv3TV2ZioHcGOiXj3yZpUCNDXwV/NA/hSUhOx+2+535UAFnGQrw2Z0oenQ5E2m1mOjyZuMTzcE26poZJvbyTe3kWlyoHyhx+c5fSEZHgcn+3fxoO95/q/pVF7OPIgl5xVebTRzOssi8qxCCCEiK66TnSeffLLfzxMSEnjwwQd58MEHoxTRsfHpKh3+wKaUU9RyDhly0YfxXJuBOKCPwKX1v1fYYT0NAJvRRbqpE4BMcyfjkxqCiU+1O5Vqdyod/gTqPKnUeVJJMzqZlFTLCEtrMOl5zrSIdGcHk3xl3Nm+hWZ1Du+nV/Bs43qmlc7imxP6W+QuhBAiHsV1sjNUtPsD83UyFTtZip2PjZNiHFH8MyqBuUv3Vy4Y8DlfpCqQbe4g29zB9OTDtPgSqejMoMyVSasvkc1to8kx2znRVkmSwYOmGPh74lK+73iaYn8Nd7TuZal/Ef6s97hry10oisI3xn8jXI8phBAiCiTZiYJ2LTCENVktB6DCUBDDaAaHFKObszN349ND6wEzKhopRne/bRQFMkxOMkxOJifXsM+ZQ6kjl3qPjZcbJzHLVkWJtRmvYuaxxPO5oeNxCvVGbm+t4rXR83jbvoU7N9+J0+vk8imXh+MxhRBCRIGMpURBu797cnKgyGDFMNwm4likGN2kmzpDeh0t0fkyi+pnanINSzL3km1qx4+BD+yj2Nk+Al2HdjWZvycuxY/ChYZ3+aE7kSunXgnA7z74Hfd/eD+6rkfisYUQQoSZ9OxEgb2rZ2eqUk69mo5TTYxxRKJbstHNGen72OPIY4+jgFJnLh1+M/NSyygzFvIf9TS+ob3FxH3/ZOrirdjMNu778D4e2fUINY4a7jj5DswG8zHdu8JegcMbenHIJFMSxbbiY7qXEEIMZ5LsRIFDC0xOnqYepMIw4iitRbQpCkxJriXF4OZ9ezGH3elsa9OZm1rOK+ocinz1zOVTeG4l/3P5C6RZ0vjFll+w/uB6qjuquXvB3WRaB7a6rsJewXnrzhtwrOuXrZeERwghBkiSnahQSFfayaGVt4wnxToYcQRF1hZMqp93W0dT5c7AYNcYY6zkRu/3ecN6M8aKd+DV2/n6tK9TMOvH/HjnA3xY/yHffG4Zv5++kplp48GSApljjnqv7h6dhUULSbekH7V9i7uFjZUbB9QTJIQQIkCSnSiZphxEUWRycrzLt9iZl1rO5rYSyl1ZqBYPVXoudb4URqhNsPkB2PwAJwNPmIxcn5NNGS1cue1OftTSymVt7Riu/TCkhAcg3ZJOdmL/dYSEEEIcH5mgHCXTlYN0YpFigoPAyIRWZqcEtvU46A5MJq8YfR4kde1Sn1YMJ1zB6Gnf4Z85C1liysGnKNydkc7yvBwOtR6IVehCCCH6IMlOlExVy6k05qMrR9ykScSR0YlNjLY2AIGf1yElHyYtDbxvrQCPA1LySLKN5Ld5C7kjYy6JGNhuTeDC927lr7v+ilfzxvQZhBBCBEiyE0G+L9S4m6KUUS5DWIPKrJRD2AyBOTIPlo/Bbc2BkXMCH+5/BTQfAIqicGHyGJ6xncSJnS46NQ/3fngvX3/+62yq2iRL1IUQIsYk2Ymg6vbAnzYcjFQaOWgcGduAxICois7kpMBwVkVnEnfvy4VRpwYmIbvaoGpbj/aFBiuP1tbzyynfJ92SzsG2g6x8fSVXvnwl71W/J0mPEELEiCQ7EVTVFhgCmaaW4VcMVEoxwUHHovqCX/+pPId3WzOgZEHgQOVmcLf3aK8AXys4lfUXrud7U7+HxWBhe912vv/q9/nGC99g/cH1MrwlhBBRJslOBFV2JTtTlTIqDXn4FFOMIxLH6szMegBu/GQk9vSpYBsBmhfKNvXZ3ma2ccPsG1i/bD2XTroUq9FKaUspt759K+f+51ye2/9cNMMXQohhTZaeR1B3sjNFLeegsTDG0Yjj8e0RlRx0plLRaWH1vgJWj10EHz4GdZ9AwQlg63s+Vl5SHrecdAvXzLiGf5X+iyf2PkGto5a1n64F4J3D7zA9ezqjbKMwqIZoPtKgJtWnhRADIclOhOi6Tqfv856d1wynxjgicTw8/lZuHfcJP9g5m38eyuSU9BwWZo3D2rgP72f/pXXyUozuFo5UHjDVkspV06/isimX8dLBl/jH3n/wWctn1Dprqa2oJcGQwJi0MYxLH0deYh6KrNo7Iqk+LYQYKEl2IkRRFH49t4bp7/ycJDopN8pKrMFI7Vp6/tKhSjKNW5mQoFHqmsPNu0dzic3CTahYHA289fHLVKg2lml5JDhqyGdmn9ezGCwsG7eMCRkTuHj9xUxIn8Ch9kM4fA52N+1md9NuUswpjEsbx7j0cWQkZETxaQcHqT4thBgoSXYiKL2llHSlgwNKPl7l2DaLFLFlMQSSnRfbvtfjuENL5S+t/4vR8Dy3mJ7kVLeD29x3cT8JPN7sItSp6NOyprGgcAGHOw7zWctnlLWV0e5p58P6D/mw/kMyEzIDSY9Fkp4vk+rTQohQSbITQRmtpQB8psiS88Eqxejm7Mzd+PTP5/I3exP5sD0wHLLdOpV6fzq5tHBXwqP82PVDnN6BDUGpikphSiGFKYV4NS8V9gr2teyjsr2SJlcTTTVNwbYbKzYyInkEqZbU8DygEEIMA7IaK4LSWz4F4DNFJicPZilGN+mmzuBrTLC6Mux2jmBdwkIAvsZmRir1x3Uvk2pibNpYzik5h8snX87pI08nP+nzfqI/7/ozZ/7rTK57/TpeKX8Ft999XPcTQojhQJKdSNH8HC44jbf809ivjIh1NCLMpicfJlF149Qs/Mt1KvsMRZjw87/GtWG7R4IxgSmZU7hg7AWcO+pcAIpSivBqXl6vep0fb/oxZ/7rTH697dccbD0YtvsKIcRQI8lOpKgGDpZ8jcu8t9KpWGIdjQgzk6pxoi1QXflAZw5/NF6IhsK5hm1kNO8N+/0STYkA/PaM3/Lvr/2b5VOXk5+UT7unnX/s/QfnP3c+V264kpcOvoTH7wn7/YUQYjCTOTtCHKNcSzsl1kbKOrN4pWMGL5tP5Bz9fcZ++hh75p8H/dTNOdh27D0x49PHM372eH50wo94r/o9/lX6LzYd2sQHdR/wQd0HpG9L56yis1hQuICcxJyjXk9q0AghhjpJdoQ4DjOSD1HrtuHwW/it72Lmq3vIcNbwhyeX8rQt5ajnmwzHXlVbVVROHXEqp444lVpHLev2reOZfc9Q76zn3/v+zb/3/Tvka0kNGiHEUCbJjhDHITCcVcHbreM46M3nFvV/eNh8HzfaO7FMvwSXKeHI5xpMpFnSwhJHXlIe18y8hqumX8UTe5/gdx/8rsfnmQmZjE8fT0FSQY+ChVKDRggxHEiyI8RxyrO0MyqhkXJXFhu0kzhkyWOku5azKz/m3WkDr/R7PIyqkTl5cwD4StFXqGqv4rPWz2hyNbG5ZjPplnRm585mTNoYVEWm7Akhhgf5r50QYTAj5TAWxQso3GpYAcDUg5vJaq2OWUypllTOLDqT70z6DifknIBZNdPibuG1ytd4svRJSptL0XQtZvEJIUS0SM+OEGFgVv1MsR7iQ2cJbzeP4W+5F3JF239Y+OG/ePqMlWiG8PxTC2Vi85fbJJmSmJs/l5k5M/mk8RM+bviYNncbr1e9TrIpGUCSHiHEkCbJjhBhkmNqD369umkZJyXsYLL9ICd9+hpbppx9XNfunsh869u3DvicbhaDhdm5s5mWNY3dTbvZUb+DDm8HAD956yfceOKNnFl4pmxCKoQYciTZESLMClI6qG5P5n/0m3lZv56Z+96iMnc81Vmjj/maaZY0Lpl4CV6/N6T2/U1+NhvMzMqZxdTMqWyu2czupt1UtVdx3RvXMS1rGitnrWR+/nxJeoQQQ4YkO0KE2TnjK3hy9wSqHSl8N/F2nvLfxuL3/8kzZ6ygIzHtmK8brpVb3UwGE5MyJrG7aTcLChewuXozuxp38f1Xv8/kjMlcPPFiJmZM7HVevNXl6fR1YvfY6fB04NW86LqOoigkGhNJMiXh1/yxDlEIEWOS7AgRZklmHxed3sA/X89lh7OYlZZV/Mn1W5Zse4JnT7sa/3HU1gm37qGuN6ve7HF8T/Mefvbez454Xizr8tQ7A/uPba7eTKun9ajL5hUCPVSP7nqUpWOWclL+SViN1ojHKYSIH5LsCBEBeRkelp3awDNv5fCqeybXGq/lnpYHWbj9aV498WL0fqorR1Nfw2NOr5O9zXspt5ejowMwInkEUzKm4Mcfk7o8jZ2NvHTwJZ4/8DylLaUAHHYcDn6eZEoi2ZSMxWBBURQ0TcPpc9Lh7Qhulvpyxcu8XPEyVqOVhUULWTp6KfMK5skSfCGGAUl2hIiQUXkuzpvXyPrNWbzom4ddS+Thw/ewUH2ajbO/iR4nv2T7Gh4rTi2mzd3G+7Xvs691H4c7DlPdUU1RSlHE4qiwV/RIojx+D9vrtvPWobfY0bAjuGJMRUVDY2rmVMakjSHLmoXZYO7zmrquU2mv5KXyl5ibN5cDbQdo7Gxk/cH1rD+4nvykfM4edTZnFJ4R7O2Jt2E6IcTxk2RHiAiaWOTEbKrnuXeyeds/nQs8d3F/5QMs0p/i9RO+HldDWl+WakllUfEiZuXM4v269ylrK6OivQKAP3z0B1bMWsGUzClhuVeFvYLz1oVWgFEjkPRMy5521HlMiqKQmpAKwNbarb0+r3HUsGb3GtbsXtPjuGyfIcTQIsmOEBE2Ot/FxWfVse7tbPa5RnK+5y5uqvgXS9sfYePcS2hPSo91iP3KtGZy9qizqXfW887hd6hz1vH24bd5+/DbTMuaxgVjL2DJqCWkWlKP6fq6rrO7aTcACYYEXH5X8DOr0UpRShHFtmJsZlvw+EC22jjSSjaf5qPCXsG+1n3BJfgKCjo6e5r2SLIjxBCi6LquxzqIWLPb7aSmptLW1obNZjv6CSHa8M6z/GC9iUUpH5KeGLbLijjV7jKyoW06P5r/MQnFab0+d7pUXtqWycHqwF+GUUot11nWkTYtg09L5sTNPJ7+NDgbeGbfM5w24jQ2V2/Gp/sAMCpGTsg9gdNGnMaMnBlMyphEgrHvfcF0XafGUcOepj1srdnKlpotlNvLg5+bVBMlqSVMSJ9AQXJBxOfU6LpOZXslOxt2cqjjUPD4aSNO43tTv8fs3NmyDF+IOBXq72/p2REiShITNC46rYGdB5N5d6eNcnceN7iuIf/9Jr76yQekFSfQOGL0Eastm00aGSm+KEfdt5WzVnLnKXfy0sGXeO7Ac3zW8hnbarexrXYbENiRPScxh7zEPJJMSaiKisfvocnVRK2jNtiT0s2kmvBqXublzWNa9jSMavT+06QoCsW2YoptxXzW/BkbqzaioAR7r6ZnT2f51OUsKFwgk5mFGKQk2REizOodVszNfU+YBchN97DghFZe3JyJGR81ZPKXziXwKYz4tIEcpQUHVsr1XDz0vM7/fPVw3CQ8WdYsLptyGZdNuYwqexWbDm1ia+1WdjXsCiY1tY7aPs81qkZGp47mhJwTmJc/j1RLKle+fCUjU0ZGNdH5svSEwJDivWfey7uH3+XZ/c+ys2En171xHYUphXxz/De5YOwFpCWkxSxGIcTASbIjRJgYlUDxuid3joedoZ2zUNmOkwQaSaNUH8lhsjmsZ/dok4CbdNrRUHn/XQVLRjLmRAOJCX4SLX4SE/wYvzQCFsleoCKvl8aDGzlYX9rj+MlKEifnn4WedyYt3g4aPK20oZGYMRq/5sdkMJGZkEm2NZtiW3GP7Sz2NO2JSKzHKi8pj9vm38Y1M6/hib1P8NSnT1HVXsXvt/+eBz56gLNLzuYb47/BjOwZMsQlxCAgyY4QYWIzuLhMfZlPC2bgMif12zbB42Bi9cdgs+IzQAG1TNFqMLo9OL0mavzpVGnZVJOJCws1WACoawVae1/PiptknJjw48WAnUS+fXYj2WnhTXhyXO28eKgGDv005HMOX/kCI4pPD2sc0ZJlzeK6E67jqmlX8d+y//JU6VPsbd7L8wee5/kDz1OQVMCSUUtYUrKEyRmTJfERIk5JsiNEGKUrHdgsXowJ/W9RkKh4SVc6aDDY8BotweMecwJGoFDvZKq+hzxfPWavC69PpcNrpl1JpEVLppZMavQMavUMnCTQiYVOLD3usXZDNtNN5UxPPMSE1EZGpHfiSkqhw5qKy5yE22TFbUoI3D/EX9KZauAee7LH4jT3X4XY5GpjRlMlbmdTSNeOZ4mmRC4afxEXjruQXY27eKr0KV6teJVqR3Vw6frI5JEsKFzAvPx5nJh3Ikmm/hNeIUT0SLIjRJhZPUevLnzUNopCm5JCmzkFzGDwe8ltOUSS7iJV6WAaB0lRO0nWOzEoGu1YqdUzqCKHMi2fT/UiWkjhfe943m8bD21grXRxovoZp6ifcLK6mylKOQZFR0PBY7KgqUb8qhGfwdj1tQF/1zG/IfCnwe8BIMfdQaeu4zOa8RlMeIwWXOYktC+sKAtty9LBRVEUpmdPZ3r2dH4676e8fehtXi5/mbcOvcWhjkP8Y+8/+Mfef2BUjEzLnsacvDnMyJ7B1KypZCRkxDp8IYYtSXaECBOta6XO6OrdAz7naPwGE3XpI1G7qgjX9NM2x9vJTruBImoxKz5cupkmUukkgbe16bytTQfAhoN56h5OUXdzkraXsUo1iUpom2Zm2fueeOw2JtBpScJlTsIxxEd0rEYrEzImMDJlJJdOupQd9TvY2biTTxo/oc5Zx0f1H/FR/UfB9rmJuczKmcWkzElMzJjIpIxJwQnRfflyRen+SNVnIfonyY4QYfLlhORoNEUdUAVlv8FEKKmI2QgLDJ/h1z5PpHS9lg4tgSZfEk2+FFp8SdhJ4hVtDq9ocwAwKBr51nYKE1sptLaSZ7aTaeogy9BOpqEdk+4nqbOViYd20GjLBVSMfg9GvxeLtxOT34vF58Lic4Hj86GrkS/dAvvfhFGnwegzISkz5GeOZwOp+gxQ56xjQ/kGNpRvCB7LTMhkVOooRtlGUZJawijbKLKsWdQ76/nRGz8aUDxS9VmII5NkR4gwCjUhibREswb0TLpsdFBAB1CHpkOrL5EKZxr7XXkk4sKpJ3DImcohZyqb6flL04CfbFrJVVrJVs7C6LFgs3jIsDpJM3WSbeqg0NBAiq8dq8eJ1d1BSkcjiT4X5vZa2P63wAsFRsyGsYtg3FegYBYMgmKKfenudVlYtJB0S/9VsFvcLWys3NjreJOriSZXE9vrtvd53vSs6eQm5pJiTjlijZ/ua0d7c1YhBhNJdoQYhlQFMkxOlESd/a48rsl7g2SDm2pPGtXeNKo9abT4k2j1JWL3W/FjoJZMavVM0OlzRZiCTobJQY65gxxzO/mmas52bWbi7CnkaX44/AE0Hwz8efgD2PT/wJIKI08kK3M0012u3heNkYNtB0Nuk25JJzsxu9+22YnZ5CTm9Niywuv30upppdXdSqsr8KfdYw/uNA+wszFQw8CgGMi0ZpKVkEWWNfDKsGZgUuN3bzUh4okkO0IMY0Yl0Pvz+9pzjvtaOgpN3mSavMnsdeQB43iSMzBv9TJJqWSyamOyMprJagWTlEoSFTe42+DARnIObOQJoN7+GFUjplGZM56GtBH4jH0XZ2xuN+Lxhl7NONS6Q921f259+9aQr20KcSiyr728Cijo8d6v+Wl2NdPY2fj5y9WIT/NR76yn3lkfbKugkGZJI8WcAsAnjZ8wyjaKRJPsTSPEl8neWMjeWGJ4a/dZ8OnHtw2CroNHN+Lwm3H6zXT4LbR4rTi0vpenK+iUJDiYbGlkilrGRPfHTPV/SrZi//yaKLQmZ9GQVkBjagEtKdl0JKRySMvkgVfGAQObAR1q9elWd2uvTUOPZCAbkh4rXddp87TR6Pw8AWpwNeDy9e4JMygGRqeOZnLmZCZlTmJC+oReyY9MZhZDieyNJYQISYrRHZHr1rtNbGqdxtWFO7AYkqjoTKKiM5HKzkRavGYOupI56EpmPaOAMwFIUjvJVDvI1lvI1lvJaLFjbvFhQEPFh0oDCg0sN+zDoVjxKCY8mPFgwq0Y0RQDRkVDMYCuKGAw4MXAvrZMbPXVZPk8R60p5HXZaDLnhPSMBpMGlshu36EogR6cNEsaY9PHAoEEyOFz0NTZRFV7FbsadwHg1/3sa93HvtZ9PHfguSNeUyYzi+FGkh0hRESYu4bI/lw1M+RzHFqgN6iS/ufAHIuH3k9ihNLISKWRYqWOQqWeYqWu6+sGrIqHMi2PMz13D+i6sdivTFEUkk3JJJuSKbYVMzVrKh6fB6fPSUNnAw3OBho7G3H4+p60/OBHD7J41GJm587ud/m7EEOFJDtCiIhIM/v5SvrHeEIYImv3WfmwYyxXZL1NssFFhz+BDi2BDr8Fv66ioaCjoOkK7X4Lpc48xplrSFZcmHQfZryY8IGu49FNuHUjLt1Mh55AvZ5OQ1edof36SPbrI/uMIYcW8tQWpioHSTBr+KxWOswpKCYDJqOGQe3ZKdTpVtl3OGlAc4ciJc2SRncB7VGpo4LHOzwdVDuqqe6optpRTZu7DYD/lv+X/5b/F4CxaWOZnTubE3NP5MS8E8myZkU5eiEiT5IdIUTEpJn9EMJifKtBhQ74W+NpIV87N8X1hSE4Fbp2iE8AAsvuXYCLPK+b15rTuDLvHRJx0+4x0+ZJoMmbRL3PRrU/gw4SqSedeq2rl8Pd9foCs+IlyejBZALFbAhmPrXNZpIS/CRb/aHuuhE1yeZkxpvHMz59PACV9kpeLHuRxcWLOdh2kP2t+4Ovp0qfAmCUbRTTs6czNWsq07KmMT59PGZD3xPFhRgshkyy8+CDD/Lb3/6W2tpaZsyYwQMPPMBJJ50U67CEECFIMbo5O3N3yBOljYoW8lyjwIozhTW1px65DT4KaCRXaSFFcZJicNOhJdCgpVKtZ9FIKh7dhMdrCuyD4fz83Fc+CBRJNKl+0pN9pNl8pKf4SE/2kZ7iJT3FR1JCfCRCVmNgwviZRWeyPHU5dredvc172du0l73Ne6mwV1BuL6fcXs7zB54HwKgaGZ8+nnFp4xiXPi74Z5Y1SzY+DaemA+BuD62tJQUyx0Q2niFmSCQ7Tz31FKtWreLhhx9m7ty53HvvvSxZsoTS0lJyckKbaCiEiK1ITZQeSCKlaj7y7I2kax0AWFUX2UobNhzoioIHIw7dSi0ZVOtZVOuZVOk5HNKz8GpG6u0G6u2WXte1Km5yTXbSE1ykml0kmX0kmXwkmP1YLRoJFg2TWcFvMOHt2o/M5rOTY3WgKQZ0tf/Ya1w2msxHr0zd4bWheTIHtLTep/nY07SHPU17ej6T0crIlJGMSB7ByOSRFCQXkG3NDtQD6qoFlGxKPnJCFMFf7pHaauNwxVv9b2yrayh+L4rPTYI5ibyc6eB1gs8V+NPb/Wdn4JjPDejgaIR37w0phqBv/ROyJ4A5CUyJgT+jXKBzMG1pMiSWns+dO5c5c+bwhz/8AQBN0ygsLOTaa6/llltuOer5svRcCNHN4Pf2u+WHqvvJ0luxedpwu1UuNbyGFQ+H9SzK9DzK9HzK9TzK9DzK9TwO61loHD3RMuAnmc7ASwn8maB4UdEwdL2++LWOgg8VHwba9CT8GPARWH3mR+16r6LpX/gaFT8qBqOOQdEwqX6MwZeGUdEwGPyYFD8m1Q96J+3uBsakFaLqXly+dlxeOx5fR+DOih8j3S8No65jIPBSAYOuY1EMmBQFEwomRcWEgkHXMbrbu9rpGABVBwMa6KArgYFIXQE/Chrgt6Z1bVCr4EdFU0BTFPwo+Lva+RUFt+6jydUWONZ1HALlDropX/hTASyquSteDYOmBf7UdYy6jhEw6oHPzLqGSQeTrgdegFkPPLdZh1iXePQpKr6uTXx9BmPg664/NYMRn2oKfA+NJjTVhKZ2z4cj+NIUBV0JHOv+GWhf+Bw9UPbS43dTZi/vcf+jJRM3LFvF/DGhD1WHYtgsPfd4PGzfvp1bb/38/1RUVWXRokVs3ry5z3Pcbjdu9+f/F9nWFpi0Z7fb+2x/rBwOJ5rbRIui4XF5wnptIUSsqFSSQau/iB2dY/kkKYdCUyMABt1Hit7JGH0fU9iDWfdg0PzU+dL4zDcSv2qgg0TadSt2PZE2PYlWPRk7yWhACyotJAFJkX0EN4CB0H49j+WTfjozoqYt1gGI3k4eUOv9+z9lSvaMsEbQ/Xv7aP02gz7ZaWxsxO/3k5ub2+N4bm4un376aZ/nrF69mjvuuKPX8cLCwojEWBWRqwoh4sEfYx2AEIPEZfcCXB2Ra7e3t5OamnrEzwd9snMsbr31VlatWhV8r2kazc3NZGZmyoS7MLHb7RQWFlJVVRXWoUERPvIzin/yMxoc5OcUO7qu097eTkFBQb/tBn2yk5WVhcFgoK6ursfxuro68vLy+jzHYrFgsfScRJiWlhapEIc1m80m//jjnPyM4p/8jAYH+TnFRn89Ot1iXw3rOJnNZmbPns3GjRuDxzRNY+PGjcyfPz+GkQkhhBAiHgz6nh2AVatWcfnll3PiiSdy0kknce+99+JwOLjyyitjHZoQQgghYmxIJDsXX3wxDQ0N3H777dTW1jJz5kw2bNjQa9KyiB6LxcLPfvazXsOFIn7Izyj+yc9ocJCfU/wbEnV2hBBCCCGOZNDP2RFCCCGE6I8kO0IIIYQY0iTZEUIIIcSQJsmOEEIIIYY0SXZEWP385z9HUZQer4kTJ8Y6rGHtrbfeYunSpRQUFKAoCs8++2yPz3Vd5/bbbyc/Px+r1cqiRYvYt29fbIIdpo72M7riiit6/bs6++yzYxPsMLV69WrmzJlDSkoKOTk5XHDBBZSWlvZo43K5WLFiBZmZmSQnJ3PRRRf1KngrYkOSHRF2U6ZMoaamJvh65513Yh3SsOZwOJgxYwYPPvhgn5//5je/4f777+fhhx9m69atJCUlsWTJElwuV5QjHb6O9jMCOPvss3v8u/rnP/8ZxQjFpk2bWLFiBVu2bOHVV1/F6/WyePFiHA5HsM0NN9zACy+8wNNPP82mTZuorq7mwgsvjGHUotuQqLMj4ovRaDziVh0i+s455xzOOeecPj/TdZ17772Xn/70p5x//vkAPP744+Tm5vLss8/yrW99K5qhDlv9/Yy6WSwW+XcVQxs2bOjx/m9/+xs5OTls376d008/nba2Nv7617+ydu1azjrrLADWrFnDpEmT2LJlC/PmzYtF2KKL9OyIsNu3bx8FBQWMHj2aSy+9lMrKyliHJI6grKyM2tpaFi1aFDyWmprK3Llz2bx5cwwjE1/25ptvkpOTw4QJE7jmmmtoamqKdUjDWltbGwAZGRkAbN++Ha/X2+Pf0sSJEykqKpJ/S3FAkh0RVnPnzuVvf/sbGzZs4KGHHqKsrIzTTjuN9vb2WIcm+lBbWwvQq9p4bm5u8DMRe2effTaPP/44Gzdu5Ne//jWbNm3inHPOwe/3xzq0YUnTNK6//npOOeUUpk6dCgT+LZnN5l6bSsu/pfggw1girL7YFT99+nTmzp1LcXEx//rXv1i+fHkMIxNi8PricOK0adOYPn06Y8aM4c0332ThwoUxjGx4WrFiBZ988onMRxxEpGdHRFRaWhrjx49n//79sQ5F9KF7DsiXV4zU1dXJ/JA4Nnr0aLKysuTfVQysXLmS9evX88YbbzBy5Mjg8by8PDweD62trT3ay7+l+CDJjoiojo4ODhw4QH5+fqxDEX0oKSkhLy+PjRs3Bo/Z7Xa2bt3K/PnzYxiZ6M+hQ4doamqSf1dRpOs6K1euZN26dbz++uuUlJT0+Hz27NmYTKYe/5ZKS0uprKyUf0txQIaxRFjdeOONLF26lOLiYqqrq/nZz36GwWDgkksuiXVow1ZHR0ePHoCysjJ27NhBRkYGRUVFXH/99fziF79g3LhxlJSUcNttt1FQUMAFF1wQu6CHmf5+RhkZGdxxxx1cdNFF5OXlceDAAX7yk58wduxYlixZEsOoh5cVK1awdu1annvuOVJSUoLzcFJTU7FaraSmprJ8+XJWrVpFRkYGNpuNa6+9lvnz58tKrHigCxFGF198sZ6fn6+bzWZ9xIgR+sUXX6zv378/1mENa2+88YYO9Hpdfvnluq7ruqZp+m233abn5ubqFotFX7hwoV5aWhrboIeZ/n5GTqdTX7x4sZ6dna2bTCa9uLhYv+qqq/Ta2tpYhz2s9PXzAfQ1a9YE23R2duo//OEP9fT0dD0xMVFftmyZXlNTE7ugRZCi67oe/RRLCCGEECI6ZM6OEEIIIYY0SXaEEEIIMaRJsiOEEEKIIU2SHSGEEEIMaZLsCCGEEGJIk2RHCCGEEEOaJDtCCCGEGNIk2RFCCCHEkCbJjhBCCCGGNEl2hBBCCDGkSbIjhBBD1J/+9CdGjhzJwoULqa+vj3U4QsSM7I0lhBBDUHt7OxMmTOA///kPTz75JBaLhV//+texDkuImJCeHSFESBYsWMD1118f6zDElyxYsABFUVAUhR07dgSPWywW0tLSGDt2LCNGjCAjI6PXuVdccUXw3GeffTZ6QQsRZZLsCDGIXXHFFVxwwQXHfH5fCcyRkpr//Oc/3HXXXcd8r+EqGkniVVddRU1NDVOnTg0eM5vNXHnlleTm5vKb3/ymzxjuu+8+ampqIhqbEPFAkh0hREgyMjJISUmJdRgD4vF4Yh1C2PT3LImJieTl5WE0Gnscf++997j22mtxOBx89tlnvc5LTU0lLy8v7LEKEW8k2RFiiNqwYQOnnnoqaWlpZGZmct5553HgwIHg51dccQWbNm3ivvvuCw5l9HWsvLwc6NlDoWkav/nNbxg7diwWi4WioiJ++ctfBq+taRqrV6+mpKQEq9XKjBkzeOaZZ/qNd8GCBaxcuZKVK1eSmppKVlYWt912G1+cVni0Z+q+xvXXX09WVhZLliwJ6bzuc6+99lquv/560tPTyc3N5ZFHHsHhcHDllVeSkpLC2LFj+e9//xvycx7p+xnK9+dIzxKqhoYGXnzxRa655hq+9rWvsWbNmgGdL8RQIsmOEEOUw+Fg1apVfPDBB2zcuBFVVVm2bBmapgGBIYz58+cHh0Bqamr6PFZYWNjr2rfeeiv/7//9P2677Tb27NnD2rVryc3NDX6+evVqHn/8cR5++GF2797NDTfcwHe+8x02bdrUb8yPPfYYRqORbdu2cd9993H33Xfzl7/8JeRn6r6G2Wzm3Xff5eGHHw75vO5zs7Ky2LZtG9deey3XXHMN3/jGNzj55JP58MMPWbx4Md/97ndxOp0hPeeRvp+hfn/6epZQ/eMf/2DGjBlMmDCB73znOzzxxBP4fL4BXUOIIUMXQgxal19+uX7++eeH1LahoUEH9F27dgWPnXHGGfp1113Xo11fx7543G636xaLRX/kkUf6vI/L5dITExP19957r8fx5cuX65dccskR4zvjjDP0SZMm6ZqmBY/dfPPN+qRJk0J+pjPOOEOfNWvWEdsf6bzuc0899dTge5/PpyclJenf/e53g8dqamp0QN+8eXPIz/nl7+dAzgvlWY7085o2bZp+77336rqu616vV8/KytKfffbZPq8B6OvWrTvqvYQYrKRnR4ghat++fVxyySWMHj0am83GqFGjAKisrDyu6+7duxe3283ChQv7/Hz//v04nU6+8pWvkJycHHw9/vjjvYaOvmzevHkoihJ8P3/+fPbt24ff7w/5mWbPnt3ruqF+L6ZPnx782mAwkJmZybRp04LHunuv6uvrj/k5B3JeX88Siu3bt7Nnzx4uueQSAIxGIxdffLEMZYlhy3j0JkKIwWjp0qUUFxfzyCOPUFBQgKZpTJ069bgn7Vqt1n4/7+joAODFF19kxIgRPT6zWCzHde9QnikpKemYzgMwmUw93iuK0uNYdyKmadoxP+dAzuvrWUKxZs0a/H4/BQUFwWO6rmMwGGhoaCA7O/uYrivEYCXJjhBDUFNTE6WlpTzyyCOcdtppALzzzju92pnN5mCvSX/HvmjcuHFYrVY2btzI//zP//T6fPLkyVgsFiorKznjjDMGFPfWrVt7vN+yZQvjxo3DYDCE/ExfdqznHU2oz/nl7+fxfH9C4Xa7Wbt2Lb///e9ZvHhxj88uuugi/vGPf3DDDTeE/b5CxDNJdoQY5Nra2noUkwNIT08nMzOTP//5z+Tn51NZWcktt9zS69xRo0axdetWysvLSU5OJiMjo89jqvr5iHdCQgI333wzP/nJTzCbzZxyyik0NDSwe/duli9fTkpKCjfeeCM33HADmqZx6qmn0tbWxrvvvovNZuPyyy8/4rNUVlayatUqvv/97/Phhx/ywAMP8Pvf/35Az/Rlx3re0YT6nH19P4/1+xOK5557DofDwfLly0lNTe3x2de//nXWrFkjyY4YdiTZEWKQe/PNN5k1a1aPY8uXL+fJJ5/kRz/6EVOnTmXChAncf//9LFiwoEe7G2+8kcsvv5zJkyfT2dlJWVlZn8e657h0u+222zAajdx+++1UV1eTn5/PD37wg+Dnd911F9nZ2axevZqDBw+SlpbGCSecwP/+7//2+yyXXXYZnZ2dnHTSSRgMBq677jquvvpqAFRVDemZvuxYzwtFKM/Z1/fzWL8/oVizZg2LFi3qlehAoGfnV7/6Fdu3bz/m+UBCDEayN5YQIi4sWLCAmTNncu+998Y6lEElHN83RVFYt27dcVXjFiKeyWosIYQY5P74xz+SnJzMrl27BnTeD37wA5KTkyMUlRDxQ3p2hBBxQXp2js3hw4fp7OwEoKioCLPZHPK59fX12O12APLz84959ZcQ8U6SHSGEEEIMaTKMJYQQQoghTZIdIYQQQgxpkuwIIYQQYkiTZEcIIYQQQ5okO0IIIYQY0iTZEUIIIcSQJsmOEEIIIYY0SXaEEEIIMaRJsiOEEEKIIU2SHSGEEEIMaf8f9pV0l7kyQAQAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aplot.lattice_parameter_histogram(structures, bins=40, kde=True, alpha=0.5);" ] }, { "cell_type": "markdown", "id": "40aa4a18", "metadata": {}, "source": [ "### `lattice_angle_histogram`\n", "\n", "Lattice angles $\\alpha$, $\\beta$, $\\gamma$. `kde=True` is especially\n", "helpful here — angles cluster sharply near 90°." ] }, { "cell_type": "code", "execution_count": 6, "id": "446f385c", "metadata": { "execution": { "iopub.execute_input": "2026-05-04T23:33:50.099532Z", "iopub.status.busy": "2026-05-04T23:33:50.099069Z", "iopub.status.idle": "2026-05-04T23:33:50.497395Z", "shell.execute_reply": "2026-05-04T23:33:50.496724Z" } }, "outputs": [ { "data": { "image/png": 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SJH744QdcLhdTpkyhbdu2JCQk8OKLL7J161ZuuOGGRq1FgUhERKQ1a6yVqutwnZUrV9K+fXvi4+M588wzSUxMZNiwYXzxxRdkZzfuUgEKRCIiIq1RQmZw5egfPmy8a9riarUI5MqVKxk8eHCjT7E/HAUiERGR1iitU/AxGs34WWYrV65k6NChDVhQzSkQiYiItFZpner8sNXGsGrVKm655ZamLgNQIBIREZEmsnfv3qYuIUzT7kVERCTmKRCJiIhIzFMgEhERkZinQCQiIiIxT4FIREREYp4CkYiIiMQ8BSIRERGJeQpEIiIiEvO0MKOIiEgrtadsD4Xuwka7XroznfZJ7RvtetGkQCQiItIK7SnbwyXvX4Lb7260azqtTj689MMWGYoUiERERFqhQnchbr+b4Z2Hk+5Mb5Trzds+j0J3oQKRiEhzFTBhdUk8HeK8tHX6mrockUaT7kynbULbpi7jiHr27ElmZiaff/458fHxAJimyZAhQzj33HOZOnVqo9ShQdUiEhO2VTj4cl8KX+5LbupSRKSaN998k+XLl/PNN9+Et82aNYtt27bx+9//vtHqUCASkZhQ6A02iJf6rE1ciYhUN2DAAPr3788PP/wAQEVFBffffz+PPvooycmN9w8YBSIRiQnF3mAQqvDrY0+kuenZsycbNmwAYNq0abRp04brr7++UWvQGCIRiQmhQOQzDbwBsCsXiTQbvXr1YsGCBezcuZM//elPfPTRR1gsjfs/qT4SRCQmFFfrKqvwq9tMpDkJtRDdd999nH/++ZxzzjmNXoNaiESk1QuYUOKtHogspNr9TViRSONprIUZ63Odnj17smPHDt555x3Wrl0bxapqToFIRFq9Mp+FAEb450qNI5IYkO5Mx2l1Mm/7vEa7ptPqrNOaRz179gRg/PjxdO/ePdpl1YgCkYi0esUHzSzTwGqJBe2T2vPhpR+2iEd3uFwuTNPk2muvbYCqaqZZByK/389DDz3Ev/71L3Jzc8nJyeG6667jgQcewDCC/9ozTZMHH3yQl19+maKiIoYOHcqLL75Ijx49wucpKCjgtttu48MPP8RisXDFFVfw3HPPkZSU1FRvTUQaUbFXgUhiU/uk9i1i1ehVq1bhcDg44YQTmqyGZv2p8MQTT/Diiy/y5z//mfXr1/PEE08wbdo0nn/++fAx06ZNY/r06cyYMYMlS5aQmJjIyJEjcblc4WPGjBnDunXrmDt3LnPmzGHBggXcdNNNTfGWRKQJFHsj/+2nLjOR5mXVqlX06dMHu93eZDU060+FhQsXMmrUKC6++GK6du3KL3/5S84//3y+/fZbINg69Oyzz/LAAw8watQoTj75ZF577TV2797N+++/D8D69ev5+OOP+dvf/sbgwYMZNmwYzz//PG+88Qa7d+8+7HXdbjclJSURXyLScpVUdZklWYMDqdVCJNK8TJgwgRUrVjRpDc36U+GMM85g3rx5bNy4EQgmyK+//poLL7wQgC1btpCbm8uIESPCr0lNTWXw4MEsWrQIgEWLFpGWlsapp54aPmbEiBFYLBaWLFly2OtOnTqV1NTU8FenTp0a6i2KSCMoquoyax/nBaDCbxztcBGJQc16DNF9991HSUkJvXv3xmq14vf7eeyxxxgzZgwAubm5AGRlZUW8LisrK7wvNzeXdu3aRey32WxkZGSEjznY/fffz5133hn+uaSkRKFIpAULTbnPjvOyqTyOSj2+Q0QO0qwD0VtvvcWsWbN4/fXXOfHEE1m5ciUTJkwgJyeHsWPHNth1nU4nTqezwc4vIo3H7TdwBYKN4dnhFqJm3TguIk2gWQeiu+++m/vuu4/Ro0cD0LdvX7Zt28bUqVMZO3Ys2dnZAOTl5dG+/YFR9Hl5efTv3x+A7Oxs8vPzI87r8/koKCgIv15EWq/QlPsEq59UW3AMUWXAIGCCRT1n0sKZptnUJTS5aN2DZv3PpIqKikOeZWK1WgkEAgB069aN7Oxs5s07sOhUSUkJS5YsYciQIQAMGTKEoqIili1bFj7m888/JxAIMHjw4EZ4FyLSlEJT7lNtfuKtAcAEDFwaRyQtWGg2VkVFRRNX0vQ8Hg8QzAf10axbiC655BIee+wxOnfuzIknnsiKFSt4+umn+e1vfwuAYRhMmDCBRx99lB49etCtWzcmTZpETk4Ol156KQAnnHACF1xwATfeeCMzZszA6/Uyfvx4Ro8eTU5OThO+OxFpDKFAlGL3YzEg3mJSGTCo8FtIsOnxHdIyWa1W0tLSwj0gCQkJ4fX5YkkgEGDv3r0kJCRgs9Uv0jTrQPT8888zadIkbr31VvLz88nJyeH//u//mDx5cviYe+65h/Lycm666SaKiooYNmwYH3/8MXFxceFjZs2axfjx4xk+fHh4Ycbp06c3xVsSkUZWVtVlllIVfuKtASoDlqoHvCoQScsVGvZx8LCQWGOxWOjcuXO9A6FhqgPymEpKSkhNTaW4uJiUlJSmLkdEjmHtym/5+Rt7uardDlZWtmF9aTxDM0o5Nb2Cd3els9Pl4IJ2xfRKdpFf6uHf+Z2YM7otJ/U/ralLF6k1v9+P1+tt6jKajMPhOGR4TUhtfn836xYiEZH68gaC/2q0W4L/9kuwBccgai0iaS2sVmu9x89IMx9ULSJSX14zGHxsRjAQBQdW6/EdIhJJnwgi0qr5Dm4hsoZaiPQvahE5QIFIRFq1UAuR/aAWIi3OKCLV6RNBRFq1Q8YQhbvMNIZIRA5QIBKRVu3gMUQJaiESkcPQJ4KItGoHjyGK1xgiETkMBSIRadUOHkMUaiHymQbeQJOVJSLNjAKRiLRaARP8ZmQLUSgYwYGwJCKiQCQirZavWuAJBSHDAGvVn0PdaSIiCkQi0modCEQm1mrZJxSOfGohEpEqCkQi0mr5zeBHnN0wqf7cR1tV95m6zEQkRIFIRFot30Hjh0Ls6jITkYMoEIlIq+U7aIZZiE1dZiJyEAUiEWm1jtRCFO4yUwuRiFRRIBKRVsvHgTFE1WlQtYgcTIFIRFqtUOCxHdxCZGhQtYhEUiASkVbLf6QxRBYNqhaRSApEItJqHXmWWfC71zz4FSISqxSIRKTV8plHGEOkFiIROYgCkYi0WscaQ6RB1SISokAkIq3WsdYh0qBqEQlRIBKRVuuIY4jUZSYiB1EgEpFW60hjiNRCJCIHUyASkVbLf6wxRGohEpEqCkQi0mqFuswcR+oyUwuRiFRRIBKRVivUZWZTl5mIHIMCkYi0WhpULSI1pUAkIq3Wsabdq8tMREJsTV2AiEhDCQUen7+CCq/3wHa/HcjEGzBxB9xNVJ2INCcKRCLS6uyr3AcceFbZluKN7LFUhve7AglAJ9wB2Fm6C+gefo2IxCYFIhFpdVx+D2DHxApAu/g0nJakA/sDdqiEAFYSbIngDr1GRGKVApGItHrxNgs2wx7+2TBCwycNDMPaNEWJSLOiQdUi0sqZWIkcVG01AuE/B/QxKCIoEIlIK2c1AhgHTSazGGAQDEV+Ux+DIqJAJCKtnK1aa9Dhtvv1MSgiKBCJSCt3pEAU6jYLqIVIRFAgEpFWzqoWIhGpAX0SiEirZjP8h90eCkoaQyQioEAkIq3csbrMFIhEBBSIRKSVO9agak27FxGoQyCqrKykoqIi/PO2bdt49tln+fTTT6NamIhINBxpDFFobSK1EIkI1CEQjRo1itdeew2AoqIiBg8ezFNPPcWoUaN48cUXo16giEh9HLPLTC1EIkIdAtHy5cs588wzAXjnnXfIyspi27ZtvPbaa0yfPj3qBYqI1Mcxu8zUQiQi1CEQVVRUkJycDMCnn37K5ZdfjsVi4fTTT2fbtm1RL1BEpD6O2GWmFiIRqabWnwTdu3fn/fffZ8eOHXzyySecf/75AOTn55OSkhL1AkVE6uNI0+7VQiQi1dX6k2Dy5MlMnDiRrl27ctpppzFkyBAg2Fo0YMCAqBcoIlIfGkMkIjVhq+0LfvnLXzJs2DD27NlD//79w9uHDx/OZZddFs3aRETqzYrWIRKRY6vTJ8GmTZt46qmnGDp0KLt27QJgw4YN7Nu3L6rFiYjUlx7uKiI1UetPgnfffZeRI0cSHx/P8uXLcbvdABQXF/P4449HvUARkfrQw11FpCZq/Unw6KOPMmPGDF5++WXsdnt4+9ChQ1m+fHlUixMRqS/NMhORmqj1J8GGDRs466yzDtmemppKUVFRNGoSEYmaI3aZoTFEInJArT8JsrOz2bx58yHbv/76a4477rioFCUiEi3HaiHSs8xEBOoQiG688UZuv/12lixZgmEY7N69m1mzZjFx4kRuueWWhqhRRKTOLMcaVG0ajVmOiDRTtZ52f9999xEIBBg+fDgVFRWcddZZOJ1OJk6cyG233dYQNYqI1JnVMI+wXWOIROSAWgciwzD4wx/+wN13383mzZspKyujT58+JCUlNUR9IiK1ZlbLQMccVG1aG6MkEWnmavVPI6/Xy/Dhw9m0aRMOh4M+ffpw2mmnKQyJSLPirZaBjrQwo01jiESkmlp9EtjtdlavXt1QtRzWrl27+M1vfkNmZibx8fH07duX7777LrzfNE0mT55M+/btiY+PZ8SIEWzatCniHAUFBYwZM4aUlBTS0tK44YYbKCsra9T3ISKNx1vt8WXHaiEy0RgiEanDoOrf/OY3/P3vf2+IWg5RWFjI0KFDsdvt/O9//+P777/nqaeeIj09PXzMtGnTmD59OjNmzGDJkiUkJiYycuRIXC5X+JgxY8awbt065s6dy5w5c1iwYAE33XRTo7wHEWl8oRYiAxPLEfLOkYKSiMSmWo8h8vl8vPLKK3z22WcMHDiQxMTEiP1PP/101Ip74okn6NSpEzNnzgxv69atW/jPpmny7LPP8sADDzBq1CgAXnvtNbKysnj//fcZPXo069ev5+OPP2bp0qWceuqpADz//PNcdNFFPPnkk+Tk5EStXhFpHkItRJYjdJcF95mACWohEhHq0EK0du1aTjnlFJKTk9m4cSMrVqwIf61cuTKqxX3wwQeceuqp/OpXv6Jdu3YMGDCAl19+Obx/y5Yt5ObmMmLEiPC21NRUBg8ezKJFiwBYtGgRaWlp4TAEMGLECCwWC0uWLDnsdd1uNyUlJRFfItJyeEKB6CitQIZx5EUbRST21LqF6IsvvmiIOg7rp59+4sUXX+TOO+/k97//PUuXLuV3v/sdDoeDsWPHkpubC0BWVlbE67KyssL7cnNzadeuXcR+m81GRkZG+JiDTZ06lYcffrgB3pGINAZfINjqE2wFOjKrEcCnWWYiQh2fdt9YAoEAp5xyCo8//jgDBgzgpptu4sYbb2TGjBkNet3777+f4uLi8NeOHTsa9HoiEl2hFqKDZ5ilBkqwmd7wz2ohEpGQWrcQTZky5aj7J0+eXOdiDta+fXv69OkTse2EE07g3XffBYKPEQHIy8ujffv24WPy8vLo379/+Jj8/PyIc/h8PgoKCsKvP5jT6cTpdEbrbYhIIwsNqq7eZdbFt4tbyt9klb0X/064GDjylHwRiT21DkSzZ8+O+Nnr9bJlyxZsNhvHH398VAPR0KFD2bBhQ8S2jRs30qVLFyA4wDo7O5t58+aFA1BJSQlLliwJP0ZkyJAhFBUVsWzZMgYOHAjA559/TiAQYPDgwVGrVUSajwODqg90mQ3zLMdKgN7en4IrNxqGZpqJSFitA9GKFSsO2VZSUsJ1113HZZddFpWiQu644w7OOOMMHn/8cX7961/z7bff8tJLL/HSSy8BwVWzJ0yYwKOPPkqPHj3o1q0bkyZNIicnh0svvRQItihdcMEF4a42r9fL+PHjGT16tGaYibRSoRaiUOBJCFRwkjf4UOoE3GQGitlvTVMgEpGwqIwhSklJ4eGHH2bSpEnROF3YoEGDmD17Nv/+97856aSTeOSRR3j22WcZM2ZM+Jh77rmH2267jZtuuolBgwZRVlbGxx9/TFxcXPiYWbNm0bt3b4YPH85FF13EsGHDwqFKRFofz0HT7k/xrsfGgdUaO/iDEyoUiEQkpNYtREcSGoAcbT//+c/5+c9/fsT9hmEwZcqUo45tysjI4PXXX496bSLSPHn9VbPMDBNMk8Ge4Ar75UYciaaLjv48VtP7iA9+FZHYU+tANH369IifTdNkz549/POf/+TCCy+MWmEiInUV7jIjQBf/HrID+/Fg43PnYC5xfUlHf154v4gI1CEQPfPMMxE/WywW2rZty9ixY7n//vujVpiISF15qy3M2NcbnJix2t6TzbbOAHTw54FpqstMRMJqHYjmz59Pp06dsFgihx+ZpsmOHTtITk6OWnEiInURnnZPgIxAcKX5HdZs8ixt8GEND6xWl5mIhNR6UPVxxx3Hvn37DtleUFAQ8ZwxEZGm4g0vzGiSYpYBUGJJxm9Y2WNtAwQHVquFSERCah2ITPPw/6IqKyuLmNklItJUqj/LLDUQDERFRhIAO63BBVk7+vMUiEQkrMZdZnfeeScQnNU1efJkEhISwvv8fj9LliwJL44oItKUvFXPMrPiJ7laCxHATmvw2Ycd/XlYj/GsMxGJHTUORKEFGU3TZM2aNTgcjvA+h8NBv379mDhxYvQrFBGppVCXWQJurJj4MSg1gv+I21UViDr487Da/Ec6hYjEmBoHotBT7q+//nqee+45UlJSGqwoEZH6CA2qTqYCgFIjEdMIjhDItWQCwbAUj7tJ6hOR5qfWs8xmzpzZEHWIiERNqIUoFIhKLEnhfX7DFl6gMQFXU5QnIs1QrQdVT506lVdeeeWQ7a+88gpPPPFEVIoSEamP0KDqVMoBKDYilwMpq+o+S6KyUesSkear1oHor3/9K7179z5k+4knnsiMGTOiUpSISH34qrrM0ggOqC6u1kIEBwJRslnRqHWJSPNV60CUm5tL+/btD9netm1b9uzZE5WiRETqw1P1LLMMSoFDA1GpJRGAlKoWJBGRWgeiTp068c033xyy/ZtvviEnJycqRYmI1EdoUHUoEJUcocssWYFIRKrUelD1jTfeyIQJE/B6vZx33nkAzJs3j3vuuYe77ror6gWKiNRWaFB1JsHHdhypyyzVVCASkaBaB6K7776b/fv3c+utt+LxeACIi4vj3nvv1cNdRaRZCLUQtaUIOMygakswEKWZpY1Zlog0Y7UORIZh8MQTTzBp0iTWr19PfHw8PXr0wOl0NkR9IiK1FmohSqmadn9oC1FwDFFGVQuSiEitA1FIUlISgwYNimYtIiJREWohijM8VODEa9gj9odWrU5XC5GIVKl1IJoyZcpR90+ePLnOxYiI1JfXHyBgBmeZxeGNWJQxJNRllmEWh7f59ZxXkZhW60A0e/bsiJ+9Xi9btmzBZrNx/PHHKxCJSJNyeQ88n8yJh1xL20OOCbUQhbrU4ECrkojEploHotBDXqsrKSnhuuuu47LLLotKUSIideX2HUg2TrwUG4e2EHkNBx5sOPGGt3n0nFeRmFbrdYgOJyUlhYcffphJkyZF43QiInUWaiGy4cMwDh1QHVJqJGIYYCV4vFeBSCSmRSUQARQXF1NcXHzsA0VEGpCrqu/LgQ84dFHGkNA4IlsoEKnLTCSm1brLbPr06RE/m6bJnj17+Oc//8mFF14YtcJEROoi1EIUR3CdtCO1EIUWZ3QYPtymQy1EIjGu1oHomWeeifjZYrHQtm1bxo4dq4UZRaTJhcYQxeEGDgygPlhp1VpEjqpxRN6A0QjViUhzVatA5PV66datGzNmzKBnz54NVZOISJ25q5p6EoxgIKqwxB/2uFCXWaglSYOqRWJbrcYQ2e121qxZg8UStaFHIiJR5fIFk018VdCpMOIOe1yoyyw000xdZiKxrdbJ5je/+Q1/+9vfGqIWEZF6c3tDXWYeAhi4OfxjhUKBKNSSpEHVIrGt1mOIfD4fr7zyCp999hkDBw4kMTExYv/TTz8dteJERGor1EIUZ3goJw7TOPzYoNKqLrMEXIBaiERiXa0D0dq1aznllFMA2LhxY8Q+4wgfPCIijSU07d6Jl3IO310GBx7wmlgViDSGSCS21ToQffHFFw1Rh4hIVIQGVTvxUGYcfkA1VOsyC7UQaZaZSEyr9Rii7du3Y5rmEfeJiDQll+/AGKKjtRBVGnH4sYRnmanLTCS21ToQdevWjb179x6yff/+/XTr1i0qRYmI1FVoYUancfQuM9MwKDPiiTNC6xA1Snki0kzVOhCZpnnYsUJlZWXExR35w0dEpDG4q7cQHaXLDILjiNRCJCJQizFEd955JxAcOD1p0iQSEg6s/ur3+1myZAn9+/ePeoEiIrVx4NEdR28hguAaRaF1iDSoWiS21TgQrVixAgi2EK1ZswaHwxHe53A46NevHxMnTox+hSIitRCeZWYcfQwRBANRnFHVQqRB1SIxrcaBKDS77Prrr+e5554jJSWlwYoSEakrd7UWoqPNMoPgwGp1mYkI1GHa/cyZMxuiDhGRqKg+hmg/R/+HW6XhPBCINKhaJKbVeFD1okWLmDNnTsS21157jW7dutGuXTtuuukm3G531AsUEamNA2OIPJQf4TlmIZXVxhCphUgkttU4EE2ZMoV169aFf16zZg033HADI0aM4L777uPDDz9k6tSpDVKkiEhNhR7dcaxp91DVZWboafciUotAtHLlSoYPHx7++Y033mDw4MG8/PLL3HnnnUyfPp233nqrQYoUEakpt8cHhBZmPNYYIidOdZmJCLUIRIWFhWRlZYV//vLLL7nwwgvDPw8aNIgdO3ZEtzoRkVpyeYIBx256qcRx1GMjB1VrlplILKtxIMrKymLLli0AeDweli9fzumnnx7eX1pait1uj36FIiK14KpqIfIaNjjGA6crDGe1afcNXpqINGM1DkQXXXQR9913H1999RX3338/CQkJnHnmmeH9q1ev5vjjj2+QIkVEasrtDQYij3nsSbSVWphRRKrUeNr9I488wuWXX87ZZ59NUlIS//jHPyIWZ3zllVc4//zzG6RIEZGaCj7c1cDDsVustQ6RiITUOBC1adOGBQsWUFxcTFJSElarNWL/22+/TVJSUtQLFBGpDZfPBAxcNQpETuKqWoh8AbOBKxOR5qzWCzOmpqYedntGRka9ixERqS93VUtP5TGm3AOYhgXTCAYhjwZVi8S0Wj/tXkSkuQoETDyB4MdahXn0GWbh11R9DPpNA79aiURiVp0C0fjx4ykoKIh2LSIi9RJ6bAdAmXn0NYhC/Bzo/ndpIJFIzKpxINq5c2f4z6+//jplZWUA9O3bV+sPiUizUD3QHGtRxhCfceBjsHqgEpHYUuMxRL179yYzM5OhQ4ficrnYsWMHnTt3ZuvWrXi93oasUUSkRkKBxoaPEhJr9BqX4cSBFw92tRCJxLAatxAVFRXx9ttvM3DgQAKBABdddBE9e/bE7XbzySefkJeX15B1iogcU2VVoInHQyE1m/VagTO8FpECkUjsqnEg8nq9nHbaadx1113Ex8ezYsUKZs6cidVq5ZVXXqFbt2706tWrIWsVETmqSk/oSfduiswaBiIjLvw8M5eWqxaJWTXuMktLS6N///4MHToUj8dDZWUlQ4cOxWaz8eabb9KhQweWLl3akLWKiBxV6En3cYaXYpJoT+ExX1NB1RPvTXD71EIkEqtq3EK0a9cuHnjgAZxOJz6fj4EDB3LmmWeGn2tmGAbDhg1ryFpFRI7KVVEBQDxuCmvYQlSOM7xatVqIRGJXjQNRmzZtuOSSS5g6dSoJCQksXbqU2267DcMwmDhxIqmpqZx99tkNWauIyFFVlhUDEIeH8hoszAihLrOqMURqIRKJWXVemDE1NZVf//rX2O12Pv/8c7Zs2cKtt94azdpERGrFVRlcDsRp8QM1W3m6nAPPM3NrULVIzKpTIFq9ejUdO3YEoEuXLtjtdrKzs7nyyiujWpyISG1UVpQDoUBUM8ExRMEWIq1DJBK7av0sM4BOnTqF/7x27dqoFSMiUh+VlcExRE5LzYNNhVF9DJFaiERiVYt6ltkf//hHDMNgwoQJ4W0ul4tx48aRmZlJUlISV1xxxSFrIm3fvp2LL76YhIQE2rVrx913343P52vk6kWkoblclQA4LDV/Jln1LjOXR58LIrGqxQSipUuX8te//pWTTz45Yvsdd9zBhx9+yNtvv82XX37J7t27ufzyy8P7/X4/F198MR6Ph4ULF/KPf/yDV199lcmTJzf2WxCRBuZyuQFwWGseiCqrL8xYWd4gdYlI89ciAlFZWRljxozh5ZdfJj09Pby9uLiYv//97zz99NOcd955DBw4kJkzZ7Jw4UIWL14MwKeffsr333/Pv/71L/r378+FF17II488wgsvvIDH4zns9dxuNyUlJRFfItL8VbqD/0/brcc4sBq/YcVKsKvMVdXlJiKxp0UEonHjxnHxxRczYsSIiO3Lli3D6/VGbO/duzedO3dm0aJFACxatIi+ffuSlZUVPmbkyJGUlJSwbt26w15v6tSppKamhr+qj5kSkearsuofOXZb7T7aDCPYouSu6nITkdjT7APRG2+8wfLly5k6deoh+3Jzc3E4HKSlpUVsz8rKIjc3N3xM9TAU2h/adzj3338/xcXF4a8dO3ZE4Z2ISEMLjQGyWWv50VbVw+Zyu6JckYi0FHWaZdZYduzYwe23387cuXOJi6vZImvR4HQ6cTqdjXY9EYmO0Cwxu60WfWaAaQTXLKqsGoMkIrGnWbcQLVu2jPz8fE455RRsNhs2m40vv/yS6dOnY7PZyMrKwuPxUFRUFPG6vLw8srOzAcjOzj5k1lno59AxItI6VPqCTT322gwiAsxQC5HHG+2SRKSFaNaBaPjw4axZs4aVK1eGv0499VTGjBkT/rPdbmfevHnh12zYsIHt27czZMgQAIYMGcKaNWvIz88PHzN37lxSUlLo06dPo78nEWk4lVWz5q322jV++6s+Cis17V4kZjXrLrPk5GROOumkiG2JiYlkZmaGt99www3ceeedZGRkkJKSwm233caQIUM4/fTTATj//PPp06cP11xzDdOmTSM3N5cHHniAcePGqVtMpJVxVa2raLM7avU6H8EWpQqPFmYUiVXNOhDVxDPPPIPFYuGKK67A7XYzcuRI/vKXv4T3W61W5syZwy233MKQIUNITExk7NixTJkypQmrFpGG4PIHg421joHIpUd3iMSsFheI5s+fH/FzXFwcL7zwAi+88MIRX9OlSxf++9//NnBlItKkfB4qzeBHmsVRu9ZfN3YAKjSESCRmNesxRCIiNeYqopJgELI6atdC5DaDgajSb0S9LBFpGRSIRKR1qCzCVRVsHLbaBRtXVZCq9NdudpqItB4KRCLSOriKw8HGXstPtgqzKhAFFIhEYpUCkYi0Dq4iKgl2lTlqmWvKCS78WlnVwiQisUeBSERaBW95Eb6qeSK1D0TxALhwEPBp6r1ILFIgEpFWwVVeHP5zbQNRCQnVzlMUpYpEpCVRIBKRVqGyogQAA5NaPuweLwe6yipKC6NZloi0EApEItIquMrLAIi3BjDqMHs+Dg8AlWVFUaxKRFoKBSIRaRVcleUAxFnNOr0+zgiuylhZVhK1mkSk5VAgEpFWobKyEoD4Os6cDwei8tJolSQiLYgCkYi0CpWuYCCKq+0iRFXiLMHZZRUVZVGrSURaDgUiEWkVKl1uAOLsdWsiclYFIldFedRqEpGWQ4FIRFoFtyc4KDreUbdnVjstwSfdh1qaRCS2KBCJSKtQ6fYBEO+o22rTjqrB2BUuV9RqEpGWQ4FIRFq+gJ9Kb7DLK85Zuyfdhziretoq3e5oVSUiLYgCkYi0fO4SXFXPMYtzOut0CrstuHhRqKVJRGJL3TrbRUSak8oDD3aNd9axy6xqeetKjwJRQ9pWso1yb80GrifaE+mS0qWBKxIJUiASkZbPVYTLDLYMxddxlpmtKhBVePVw14ayrWQbP5/981q9Zs5lcxSKpFEoEIlIy1ethaiu0+7tVa9zeeu20rUcW6hlaHjn4aQ70496bKG7kHnb59W4NUmkvhSIRKTlcxUfGENU1xYie7CrrcIHmCZ1eiCa1Ei6M522CW2bugyRCBpULSItn6uISrNqDJGjfoGo0nSAW4/vEIk1CkQi0vJVFOCifmOI7LaqLjMc4CqKVmUi0kIoEIlIy1dZWG0MUd0+1kILXFfghMqiKBUmIi2FApGItHyVhfUeQxTqaas0nWohEolBCkQi0vJVFgaDDHXvMgsHIrUQicQkBSIRafmqdZnVdVB1+NEdOMBVHK3KRKSFUCASkZavshB3vbvMqh7uqi4zkZikQCQiLV9l4YFp9/XsMnOpy0wkJikQiUjLV1kYHPtD/QdVV+DEVCASiTkKRCLSsnkrweeq97R7Z9W0ez9WvBUaQyQSaxSIRKRlqyggYBp4iE6XGUBlpZ6fJRJrFIhEpGWrtgYR1H2WmdUAqxEcWF1ZURGV0kSk5VAgEpGWrdqUe4A4W90CkWFAgj34QNdKlwKRSKxRIBKRlq1aC5HDZsFiqftT6kNhqqKiMiqliUjLoUAkIi1bZUG9V6kOSagaWe1yeyAQqHdpItJyKBCJSMtWrYWovoEo3mEHoMK0a3FGkRijQCQiLVvEGkT1+0iLr2ohCj7PrLDepYlIy6FAJCItW2UhLjPYslPXRRlDQi1MlTigoqDepYlIy6FAJCItW7UWorpOuQ8JByLTCZUKRCKxRIFIRFq2impPuq/3GKJQC5FTLUQiMUaBSERatsrCGs0yK7UWsyl+Lftt+Uc8JvT6CpxQsT+6dYpIs2Zr6gJEROqlspAyugCQHHfoR1qptZh1Cd9RZA8GnB/jv6drZU96VvbFQmSASqhqIXKpy0wk5qiFSERatspCSs14AJIOCkR+w8eKpG8osu/HMA1SfZkAbI3fyLfJ8wkQudZQnKN6C5ECkUgsUQuRiLRc3krwVVJGVSBy2iN270hZTYW1DGcgniHFw4kzE8i372J14rcU2fez3bmZ1Iqe4eMT7KFp9w6oVJeZSCxRC5GItFxVawWVkQBEdplZEzaTl7wZgJPKBxFnBo9p5+1Az8qTgWD3mc9wh18T7wh+JFaaaiESiTUKRCLScoUCkTUVgKSqhRVN08SZ/R8AOrmOo603O+JlHd3dSPKl4rV42JnyfXh7vEMLM4rEKgUiEWm5qkJLqZEMHAhEmyt/wurciyVgC7cGVWfBQu+K/gDkJ23GsO8DtDCjSCxTIBKRlqsqtJQZwe6w0KDqhSXfAtCmogt203HYl7bxZdHGk41pmDjSg8drYUaR2KVAJCItV6jLrGqWWbLTRm55Lt+X/wBAVln3o768k/s4AGypK/Cb/vC0+0qc4HOBp6KhKheRZkaBSERarnAgigOCLUTvbnqXAAF85d1I8KUe9eVtve2x+Z1YbKVsrNgcfhZaOXFV51crkUisUCASkZYrNIbIH5xu77TDuxvfBcBbePoxX27BSpuKzgAsLV0enqVWZiQGD9A4IpGYoUAkIi1XZQGmCWX+YMvOjyXr2Fu5l0RLAr7SE2t0ijYV3QD4vnwDhqUSgJKqKfpqIRKJHQpEItJyle+nAicmBgBL8r4E4MTEE6jpurOJ3jT8rvb48bMo73MAXKYdj2lVC5FIDFEgEpGWqzw/vEq1xYCvds0D4KTEPrU6jbf4FAC+yf0svK2UBLUQicQQBSIRabnK8imt6t6KdxjsdeWTaE+kR8JxtTqNrzQYoFbkLyfRGex+KzET1UIkEkMUiESk5Srfe6CFyOoB4MwOZ2IzaveYRtObSZa9HX7Tj8PmB6CEBAUikRiiQCQiLZO7DLwV4TWIPGYJAMM7D6/T6fok9gIgYCkDqgZWq8tMJGY060A0depUBg0aRHJyMu3atePSSy9lw4YNEce4XC7GjRtHZmYmSUlJXHHFFeTl5UUcs337di6++GISEhJo164dd999Nz6frzHfiohEW/leAMqsaQB4KcVusTOsw7A6na5PYm8AKgPBEFSCusxEYkmzDkRffvkl48aNY/HixcydOxev18v5559PeXl5+Jg77riDDz/8kLfffpsvv/yS3bt3c/nll4f3+/1+Lr74YjweDwsXLuQf//gHr776KpMnT26KtyQi0VIViEodbQEwLG4Gtx9MkiOpTqfr7OxIRlwGfiPYQlRqxquFSCSG1K6jvZF9/PHHET+/+uqrtGvXjmXLlnHWWWdRXFzM3//+d15//XXOO+88AGbOnMkJJ5zA4sWLOf300/n000/5/vvv+eyzz8jKyqJ///488sgj3HvvvTz00EM4HId/zpGINHNl+cFv9jYAGBYXQ3OG1vl0FsPCmR3O5I0fXUCohWhb/esUkRahWbcQHay4uBiAjIwMAJYtW4bX62XEiBHhY3r37k3nzp1ZtGgRAIsWLaJv375kZWWFjxk5ciQlJSWsW7fusNdxu92UlJREfIlIM1MeDESltjQADGuwhag+zu10Loa1KhBpDJFITGkxgSgQCDBhwgSGDh3KSSedBEBubi4Oh4O0tLSIY7OyssjNzQ0fUz0MhfaH9h3O1KlTSU1NDX916tQpyu9GROqtLNhlll/1NPt4u0H3tKM/zPVYBrcfjMXqBqpaiFzF4Nd4Q5FY0GIC0bhx41i7di1vvPFGg1/r/vvvp7i4OPy1Y8eOBr+miNRSVQtRXlVe6ZzWDsMw6nXKJEcSHVLSgaoxRACuonqdU0RahhYRiMaPH8+cOXP44osv6NixY3h7dnY2Ho+HoqKiiOPz8vLIzs4OH3PwrLPQz6FjDuZ0OklJSYn4EpFmpmoMUa7XBKB7RsejHV1jPdsEW4QLjOSI64hI69asA5FpmowfP57Zs2fz+eef061bt4j9AwcOxG63M2/evPC2DRs2sH37doYMGQLAkCFDWLNmDfn5Bz7U5s6dS0pKCn361G55fxFpRqpmme3zBn/s07Z2q1MfyclZPQDYT9UDXssO37UuIq1Ls55lNm7cOF5//XX+85//kJycHB7zk5qaSnx8PKmpqdxwww3ceeedZGRkkJKSwm233caQIUM4/fTTATj//PPp06cP11xzDdOmTSM3N5cHHniAcePG4XQ6m/LtiUh9VLXcVJhxAHRIyYzKaU9sexxQQHHoifeleUc9XkRah2YdiF588UUAzjnnnIjtM2fO5LrrrgPgmWeewWKxcMUVV+B2uxk5ciR/+ctfwsdarVbmzJnDLbfcwpAhQ0hMTGTs2LFMmTKlsd6GiDSEqhYid9VYn6S46HycpScE/6FUqhYikZjSrAORaZrHPCYuLo4XXniBF1544YjHdOnShf/+97/RLE1EmpLXBe7gchjeqhaiJGd0Ps5S4uwAVIQGVZcqEInEgmY9hkhE5LCqZph5gEAg2KKTHKUWopT4YCDymPH4TAu+kl1ROa+ING8KRCLS8lStQVRgtUKgqsssSi1E1YNVGfGUF/wYlfOKSPOmQCQiLU/V+KFcixPTtALRG0Nkt1qItwfPWWImEijdHZXzikjzpkAkIi2OWRac+bXTkhjeluiI3pDIlPjguUqIJ95VAjUYzygiLZsCkYi0OAX7NwCQZw0unpjosGK11G+V6upCA6tLzETiAgHyCtVtJtLaKRCJSIuzd2/wwcz+hM5A9LrLQkIDq/dZgoFr9ZZPo3p+EWl+FIhEpMUpL9wKgD0p+DDXaA2oDgkNrC6wtwHgxx0Lo3p+EWl+FIhEpEXxBXzhaffxKb0ASKrq4oqWUJdZuaM9AHn5qwiYgaheQ0SaFwUiEWlR1u5bS5rPA4AjoSsAyVFuIQoNqnY7gw+ATnCV8EPBD1G9hog0LwpEItKiLN6zmLZ+PwDl1lQg+l1moRaiUmsaAG38fhbuVreZSGumQCQiLcrqHQtICQSnwZcZwUHPDTWouoQkANr6/CzevTiq1xCR5kWBSERajApvBQW5KwHwx2dQ5g9+hDVUC1FJ1QNe2/j9LM9fTqWvMqrXEZHmQ4FIRFqMZXnLyPK4AbCkd6XM5QOi9xyzkND5SvwOANqbBt6Al2V5y6J6HRFpPhSIRKTFWLJnCR18wRBkpHehtCoQRb2FqKrLrNQXPG87f7CLbtHuRVG9jog0HwpEItJiLN6zOByISOvM3rJga1FmkjOq10kJtRB5g6tfx/vcOAMBDawWacUUiESkRdhfuZ8NhRvI8QVnmJHWhfySYCBqlxzlQBQaVO3ygy0OgLb+AJuLNrO3Ym9UryUizYMCkYi0CIv2BLurjgsEn0RPWhfyS10AtEuJdgtRVZeZ20cgMbgW0aDEzhF1iEjrokAkIi3Cwl0LwTRp7w0uyuhJ6UxhhReAdslxUb1WaFC1aUJ5YicABid3ATSOKJr2V+7n2z3f8s7Gd/jwxw9ZuHshu8p2NXVZEqOiOxJRRKQBBMzg+J20QACHPxiI9lnbAZuwWw3SE6L76I44u5U4uwWXN0BhYjeS+Yq+tuAikIt2L8I0TQzDiOo1Y4k/4Gfe9nlsLNwYsX1n2U5W7V3FCRkn0DO9ZxNVJ7FKgUhEmr2NhRvZ79rPKWbVR1ZSNvlVSwK1TXI2SDhpnxrPln3l7HYeT2egg8dFvC2e/a79bCzcSK+MXlG/ZqyYv3M+he5CDAy6pnSlW2o3/KafPeV72Fi4kfUF69leur2py5QYoy4zEWn2vtn1DQBnJQa7rUjrTH5JcPxQ25TodpeFtE8NnnePrSMA1oItDMwaCKjbrK7KPGUAFLoLcVqd/Py4n3NBtwvoldGLPpl9GN55OKOOH0WyPZlybzkApZ7SpixZYogCkYg0e6Hp7qc4M4Mb0ruQXxqcYdY2ylPuQ3LS4gHYbbYJbij4iTNyzgA0sLoufAEfz614DoAEWwJX9LiCjskdDzkuJymHy3pcRoItuEr4tKXTcPlcjVqrxCYFIhFp1iq8FSzPXw5Ad4IrR5PWORyIoj3DLCSnqoVoty/4PDNKdnFGm/5AcMVst9/dINdtrZ5b/hyr964G4IycM0h1ph7x2ER7IsNyhgHB7tI/fvvHRqlRYpsCkYg0a0tzl+IL+OiQ1IGk8oLgxrTO7A1NuY/yGkQh4RaisgDEpQFwXADaxbfD7XezPG95g1y3NVq4ayGvrns1/HOaM+2Yr0lxpoT//O6md/l619cNUJnIAQpEItKszd85H4BhHYZhFFUNtI1YlLGBxhBVBaI9xS7I7A6AUfATp+ecDqjbrKYqvBU8vOhhAC7oekGtX39htwsBeHDhgxS7i6Nam0h1CkQi0mwFzADzd8wH4LyO50I4EFXrMmugFqIOacGgtauoEjKPD27c/2N4HNHCXXqMR008t/w5dpfvpkNSB67qfVWtX39V76voktKF/Ip8pi2d1gAVigQpEIlIs7V231r2Ve4jyZ7EoOSu4KsEDEjt1GCrVIe0Tw22EJW6fJSm9AhuLPiRITlDsBgWNhRuYGfpzga5dmuxMn8l//7h3wBMHjKZOFvtW/OcViePDn0UA4MPfvyAlfkro1ylSJACkYg0W59v/xwIdpfZC34MbkzrhN9iZ19ZcIHGhuoyS3Tawg953eM8Lrhx/49kxGVwatapAHy27bMGuXZrEDADTP12KiYmo44fFW5Zq4v+7fpzWY/LAHh8yeP4A/5olSkSpkAkIs3WFzu+AOC8zufB7pXBje37UVDuwR8wMQxok+RosOuHB1Zb2wc37A+GsvO7nA/A3G1zG+zaLd1/Nv+H7/d/T5I9iQkDJ9T7fL8b8DuS7cmsL1jPe5vfq3+BIgdRIBKRZmlr8VZ+Kv4Jm8XGsA7DYM/K4I72/cPdZZmJDmzWhvsYCweiQNX6R+X54CpheJfhGBis3reaPWV7Guz6LVWZp4znlgfXHLq53820iW9T73Nmxmdya/9bAZi+fDolnpJ6n1OkOgUiEWmWQq1Dg7IGkexIPtBClDPgwKKMDdRdFpJTNbB6TwWQ2Da4seAn2sS34ZSsUwC1Eh3OS2teYr9rP11SunB176ujdt4re1/JcanHUeQu4m+r/xa184qAApGINFOhoHFe5/PAVQyhMUQ5A9jbwDPMQkIDq3cVVUJG1Uyzqjp+1uVnEXVK0LaSbfzz+38CcM+ge7Bbo/fgXbvFzl2n3gXAv9b/S4PaJaoUiESk2dlSvIU1+9ZgNazB4LFnVXBHamdIyGi0QNQhtBZRkSti6j3AiM4jAFi5d6W6zap58rsn8QV8DM0Zypkdzoz6+c/scCaD2w/GG/Ayffn0qJ9fYpcCkYg0O3N+mgMEH/GQGZ9ZrbusH0D4wa4NNeU+JPSA193F1dYi2rsBgKzErPBss//8+J8GraOlWLh7IfN3zMdqWLln0D0YhhH1axiGwcRTJ2Jg8L+t/ws/DkSkvhSIRKRZMU2Tj376CIBLjr8kuLHagGqg2qKMDT2G6MBq1YGqa7NjSXj/5T0uB2D2ptkEzECD1tLc+QI+pn0bXDjxqt5XcVzacQ12rd4ZvfnF8b8Agi1Spmk22LUkdigQiUizsiJ/BbvKdpFoT+ScTucEN4ZbiPoDNPgq1SFZKXEYBnh8AfanDwDDCsU7witm/6zLz0i2J7O7fDeL9yxu0Fqau7c2vMWPxT+S5kzj5n43N/j1bhtwG3HWOFbkr+Cz7VoPSupPgUhEmpUPf/oQCI7RibfFRw6obj8AgLxG6jJz2Cy0TQpeY0+lBdoHu+zYFnyOWZwtjouPuxiA9zbF7to4Ra4iXlj5AhAMKkd7kn20ZCVmMfbEsQA8s+wZvH5vg19TWjcFIhFpNiq8FXyy9ROgendZ1RiR1M6QmEmJy8vOwkoAumYmNnhNoW6zXYWV0KVqteXtB55jdkXPKwCYt30eha7CBq+nOXph5QuUeEromd6TK3pc0WjX/e1JvyUzLpMdpTt4/YfXG+260jopEIlIs/Hhjx9S6imlU3Kn8IBltlWFj6oB1Wt2Bp943ikjnsykhm0hAujRLgmAVTuLDwSibQcCUe+M3vTJ7IMv4OPdTe82eD3NzYaCDby18S0A7h10L1aLtdGunWBP4LYBtwEwY9UM9lXua7RrS+ujQCQizULADPCv9f8CYMwJY4K/WE0T1laFjF4XAbByRxEA/TqmNUpdZ3QPrlK98Md90HlIcOO+jVC2N3xMaPHBf37/T1w+V6PU1Rz4Aj4eXPggATPAz7r8jNPan9boNVza/VJOzDyRMm8ZT3/3dKNfX1oPBSIRaRa+3vU1W0u2kmRP4tLulwY35q2DfRvA6oTewbE6q6oCUf9OaY1S19Djg4+dWLOrmCKSoO0JwR3bF4WPuei4i+iQ1IECV0FMtRLNWj+LdfvXkexI5veDf98kNVgtVv4w+A8YGHz404csz1veJHVIy6dAJCLNQmh14yt6XEGivWps0Np3gt97/AziggN1V+0sAqBfIwWidilx9MxKwjRh0Y/7q40jOhCI7BY7vz3ptwDMXDszJgb47ijdER5IfdfAu6LyvLK66tu2b3gJhEcWPxIT91+iT4FIRJrc+v3rWbxnMRbDwlUnXBXcWL27rO8vAcgtdpFX4sZqMTgxJ6XR6jujqpXo6837DgSirV9FHDOq+yjaxrclryKv1S/U6A14uf+r+6n0VXJq1qnhMNKUbj/ldtKd6Wwu2syM1TOauhxpgRSIRKRJmabJU8ueAmBk15F0SOoQ3LHzu+B6P44k6DESODB+qGdWMgkOW6PVOKx7MBAt/HE/dDsLLDbIXXNgfSTAaXVy3YnXAQdmXbVWf1n5F1btXUWyPZlHhj7SICtS11Z6XDp/OP0PAPx9zd9Zt39dE1ckLY0CkYg0qa93fc2SPUuwW+z8bsDvDuxYVTWNutdF4EgIbqrqLuvfqeHXualu8HEZWC0GW/aVs9ObBCdeFtyx+C8Rx43uPZquKV3ZV7mP55c/36g1NpaFuxfy9zV/B+ChMx6iY3LHJq7ogJFdR3J+l/Pxm34e+PqBmBrgLvWnQCQiTcYX8PHUd8HWoTEnjDnwy3XXMlj2avDPA34TPn5VI88wC0mOs4cHcS/cvB9OvzW4Y+27UHLgwa4Oq4MHTn8AgDc3vMmavWsatc6GtrlwMxO/nIiJya97/przu57f1CUd4g+n/4GMuAw2F23msSWP6bEeUmMKRCLSZN7c8CY/Fv9IqjOVG0++MbjR54b3x4EZgL6/guPOBiAQMFm9I7jwYb+4vGB31RG+7CW7o17r0Kpus1cXbsXVrl9wCn7AB0tfjjhucPvB/Py4n2Ni8tCih6j0VUa9lqaQV57HLfNuodRTSv+2/bl70N1NXdJhZcRl8MRZT2AxLLy/+X3e2fROU5ckLYQCkYg0iU2Fm3hm2TMAjO8/nhRH1SDpL5+AveshoQ1c8ET4+CWr1lDmCRCPix7vng8vnX3Er6zFfwXAjOLYlqtP60xGooPv95Tw0AfrDrQSffcKVBREHDvx1ImkO9PZWLiRB795sMW3UuRX5HPzZzeTW55L15SuPH/e88TZGvbBuvVxevvTwws2Tl0ylWV5y5q4ImkJGm9UoohIFZfPxT0L7sHtdzOswzCu7HUluMvgvxNh1b+DB138JCQGF0U0TZMn5ucCcFnmDmy9rj3q+UsKgfXgs9iA6EzBzk6NY/roAVzzyhLeWLoDp7Ubv0vqRWbZBsr/8Uu2XvRvzHBIsDH+pCk8vnwC/9v6P7pbE7npuFHHvogzGTKPj0q90fJT0U/c/NnN7CnfQ9v4trw44kXS4tKauqxjuuGkG1i7by3zts9j/Lzx/G3k3zgx88SmLkuaMQUikdZi/4/gLq358Q31y/cYdQTMAI9+/ze2F2yilzWRP2acjjFvCqx5B4q3g2GBc38PfS4Nv+Z/a3NZmeclARcTuu2C5OyjluCvrP1g2u3FBmt3FR/1mLQEO6P65fD+yt38Y/F2XmMyg431HLdzN66/Ps0HgTPwVftYtaf9grj2s3n+x3dwfvsy15aUcsw2q9uWN8l/lwhVfzc+3fopDy96mBJPCV1TuvLiiBeb1SDqozEMg6lnTuWWz25hWd4y/m/u//HKyFfomd6zqUuTZkqBSKQ12P8jPH9K7V8X7V++x6jDBEotFn5vmjwa6kb6qdrMspSOcMXLB9b6Abz+ANM+/gGA/2f9iHaO5OjVC9gMPwCPf2WDr76u8esSnVbK3X4Wm31Y7O8TsS/JDm1TEkiyDOOHvArisj7hycx09uT05e74HlgP15VXsR9++LB2obamavn3Y5/Fwp+GXM1/dy8A4OS2J/Pn8/5Melx69GtrQPG2eF4Y/gI3fnoja/atYez/xjLtrGmc2fHMpi5NmiEFIpHWIPRLtPclkBDsZiLgg+KdUJYH5fnBLim/O7jPsAQHLb/zW+g0GHL6B79nHAe1HXdjmsH1gnZ9Bz/8L/L8BzGA1EDgoC0mHHcu9L8ael0YbJ2o8uPeMh6YvZat+ytoE2/hpsBHFLpH4rMd/QGiJZ6aj9lJtrq41vIJ+48fQUpa1xq9xm6zkBZvZ3+5h9wSF9bCLVj3/cBmfxY/me0p81op219RdfS5tC06ifa2rWyz7+ABZx7DUtM4OSODrPRkHNYD93tLIJvyfA+YR2+pAkh02ujWJrFmb/Jwfz8OIzfg4p9lm3jLm4dr9wIshoUbTrqBW/rdgt1qr9m1mplEeyIvjniR27+4nWV5yxj/+XgmnDKBa/tc26gPopXmT4FIpDVJyAwGkd3Lgw8g9XsOf1worOxZGfwCvKaVbY7ubEg5g83OE9hqZrHbk0TA6sBhd9A1M4FebRz0SfXQz7ET+771sHMZ7FwaDFwHn98eD8k5EJ9GiS2O1z27WB0op8hiYWzmKYxM7UWgvJC1yxaQ1+YaSvdmU7prFWWeALtL/Wwu9LFsjwdfAJxWGHP8frZuzObTHzdSZN181Nuw39ceAMuxO6gASDfKsBpFpBhFNToeP1AGbYA2yUByNtaOmVxe+Dk99v2dLRXxLAn0ZlHgRNaY3dgdaMtuT1vwDIJy+HcBsCV07XLS7V4SrB1Z6/kZvLEX2HvES1f3xcRzjhyK3GWwZ1Xw78K2hcFtP30Ofm/w74XFjmm143ImszMunq9s8JrDy36rFSwWTk49nnuHTuHktifX7J40kJ+Kf6rRcYn2RLqkdDnsvlRnKi//7GUeXfIo7216j6eXPc1n2z9jyhlTOD6teY3ZkqZjmC19+kMjKCkpITU1leLiYlJSGu9xASI1tmsFuX+9jKTERGwVeSwP9GCz2YFNlm4U2trhsiXjs8RhWKxYLQZej4s1JYkk4MJm+Kk0newjFT81+xdzIpWcZvmBoZa1DLWspaclF3fbPlQmdcX/43za9R0OmT0oN33MKtnI3wu2U+LKxObJoS8nUe5qw/YKB8VeK4Eahpa6uCBzHck291GPMb0VdCjOi+p1LQRIpwwPNhYGTmRYRjF7zVQ2uRLZ6bVR6E+mIJCOl9q3usTbLThsFoorfYzqn8PJHdPISTTI8e+mfcV62uxfjrFnOez9AeMwrXRHEwA2xSWC30PP38zB6HJ6res7mu/3f8+Vc67klz1+SduEtkc9tshdxL9/+Hetzj/nsjlHDEUQHJz/zqZ3eOq7pyj3lmM1rFxy/CXc2PdGOqd0rtW1pGWoze9vBaIaUCCSZsvvg/X/wTX3cb4tiOdt/9l8HhhAOfF1Op0dH+0opJORT3djFz0tO4nDixcrO822bDQ7sTzQnUIO/v/AhHCwMRmQtou9pp88D3g9bcB/9K4dKwEcFj8OI/g9zuIj3eYmw+Yi3ebGMMDr85Dr2ktCXAZ2y7Ebt21G4JhhCMDj91JakUfnxA44bc5jHl8bxT4Hb+w9dBCvJW4HztSFHO/8gT6VFnpW2sn2OCgLJFFIMkVmEvtJZpeRRr6RQkEgjWJ/CoEaNOrb8dGGYtoaRSRbSjBspQTsJfgd+6iMK8Dj3I/b5sFpmiQFAvT0+jnDZ3BaZSXtXNXGL8WlwuCb4bT/C8/2q6/aBCIIhqKaPKi10F3IvO3zePPnb9Ins88xj88tz+XxJY/zxY4vALAYFs7IOYNR3UdxdsezibfV7f8faX4UiKJMgUiaHU85rHoD85vn+Wx/On/2XcYq80DTf7wlQIbDR7LNj9MSwGKER+sQAEzTwBLwkmr1Emfxk2TzkWbzkmjxRw4hMk2s/nJc+T/hxoYLG24MCo0kcskk38xgfyCzBr+oQx8zh28NGhD/BfGW8hq99ayEdthqEIhqyhfwkVeRf+wD66gykEi31N44bY5D9nlwsc+2jX3WrZSznT7eXIa6KhhW4aKLzxdxbMA02E8ye8xMdpuZ4e+hP++kDXvNNMwaLC9nt5SSbNtLpi2P9tbdZNt2kG3fThvKGOBy09dzIIQEbE4KTxxFQf/ReFPaH3Kuo3VVHay2gaim9lbs5Z1N7zD1zKkcl3rcMY8P1bx672pmrJrBV7sOPKjXaXUyKHsQp7c/nZPbnswJGSc06zWX5OgUiKJMgUiaBdMMjgdZ9Qb+lW/ycWVvnvddyg9m6JeRyfFxxZyUWk5bhzscbPz4qTDKqDQqcBuVuA0XLsOFx3DhxYvf8OHDi8/w4ccX/u7HT8DwE8Af/DOBw+YZ07QQ8GQScGdj+pIxA04spp0UEmlDBh0tmaTZTayHea3LV8nW4k3kJDiwGccOORbDiGoYCvEFfAQa4KPQZ/oodBVyXOpxxB/jl6q3spDkgi18ldMBV7yTtr49dPfkcZx3H+18paQE3CQEvHgMK14sVHos7LalsdOaxhajDUVGMkbATsCfgM+fgC8QhzfgwGM6KPEnsM+fRrzFTWXgSK1gJtmOIo637+Ay99dsbbOOiyrK6FMVjrzA/5ISmJmawmZHZLg7VldVSEMForp0r00/dzpZiVkA7Cnbw4JdC/hq51fsrYwcv2U1rHRL7cbArIH0TO/J8WnH0z2tO6nOxn2entRNbX5/a1C1SHO241vYtgj2rIDti/CW7GVO4HT+7HuAH83gU+ET7XBGdgHz9pZhS/yatZYiPLjwWl14bG68VveRGmbqxTANrAEbVr8de8CHw9hHHOUkeFM4KfFk4qyhAFB0xHNYLS7iLeXYjAQcTTiLqSFCFoAlELzxNRkYnBAIcCIG2f4kfP40MNqywwk7DpNf4j3lHLd7HXvjc/DanKQCkb+efUBZ+KdSn5OP96cdJQwBGOR60sn1pPMNJ+PY6+OjrGJOSfyRq0s+YWDxen5RVsEvyirY0OY4lnfsy9LkNObu/IJyb81a9xpKmjONq3pfVaPutTJvGR9v/ZjfffG7Yx4L4Df9bC7azOaiyIH8ac40OiZ3pFNSJzomdwz+ObkT7RLa1bjFTJqXmGoheuGFF/jTn/5Ebm4u/fr14/nnn+e000475uvUQiR1ZppVs3rc4PNUfXcHZ/lU/+4qhtLdwQeFlu4JTpfPWwsV+wmYBuvMrnzoH8K7/jPZX/Wrz2ZUkJH2Fd7MRfjsR1+I0GJacfrjcJhO7AEn9oADu+nAZtqxmlYsphWracNa9d1iWrFgqfbdgmFawn+2YMU4TMrym34KXAWHqeDoot0N1pzUtPXJHvDWenB3XnpH/DUMkqU+Jz7zyN1p7oCVQm8Cee5k9voObf1oH1/CAGMT/T3r6W7sJssoJNleyRpnOW0H30xKzwsJOI4+Vuyn4p+4/6v7o95CVFs1HZtkmib7XPv4cueXtTr/CRkn0CO9B11SutA5pTNdkoPfE+01XCZBokZdZofx5ptvcu211zJjxgwGDx7Ms88+y9tvv82GDRto167dUV+rQBQD/D7wlAXXa/GUBacse0qDP7vLDtp30DZ3KbiKDgQcvzf4FfCGp70HTAMvVnxY8WKr+rMNr2mL2O7GTqGZzD4zhS1mNpvNDnwb6EUpSeFSDWsp9oxvcKQvwrAGBw0bpoHfm0aK6SCVBBL8icQHgl8J/kQcZtxhA0xDqG33U0N1g7VEVr8XSw1nhgUMS43DUG0Uu+18WtSXCdZ32G1mstTsxRYz54jH26oN4k60FoO1DL+tEpfNTbHVpMhqwRWIx/QnYvoTCXjTSLJm4fXacPss4eFlDluAOGeAxDg/yQl+kuN9pCd76dTWTWJ8AKc9UOslsg7LNEkvySPeU47V78Ma8GLz+7AGgl+YVc/AMwxMDAKGhULDT35cCj6LDZ/VSiUmhb4KCrzlFHtLKfGUUOIpOeaDfJPtyWQlZtEuoR1ZCVlkJWaRlZBF2/i2pDhTSHFUfTlTcFqjO8C/VkL/kAu9H8MKFmvVdxtYWs5jUBWIDmPw4MEMGjSIP//5zwAEAgE6derEbbfdxn333XfU1zZUICos3cff/vMyLl8l/qrF6gxMIv+DVA2FrdpoMazBAX6H+a8W2hT6T+r2ufBX/Tl4XuOg10UOdLVgCf9PGFmFEfwfJOKVxoHXm9W3V6u66ge330PADFRtODATyWKaYJpYqPpuBsCEgNeHaVrxBwwCpgW/GfweMA38poG/6l+5BiZWC9isFixG8DwWw8QwCP4c3hbAHvBh97uwBTzBP+PDFvDiCHhxBDw4TB8WAlgJBD8EMQhgwY8l+Gcz+D34s4UK4ig34yglnjLiKTfjKSWecjOOCuKowEmFGfzuxl7j6exHZHFhjd+KNeEnDFsJpi8d05NBwJtOwJuB6U0FrPwsfRVpDn/9riUxLdi9VpNnfh19oHy0WQhgN3xYQ/9fE8BqmFjxYzMC2An+fx1neInHTaJRSaLhJgEXSVSSZFaQRCXJgQoceDEIfUYEF34I/h9/4Nw1fVcBw8BvWDENCz7DoML0YnMk4TcsuE0TN34qTT9uM4DXAL8BXgy8hhExN9MwqaojyArYLVaCbbQGFiP4GW01wMDAahjB7RgYGOEQFzqLYbFhdyQCFjAMLIAl4Mdq+qvCnx9LwIfF78Pic2MJeKu2VW0/SjQIGFb8FiuBiC8bASNym99ixQ14bU78Fiu+qu0+w0rAYsGk2u8tA+Kd8dx99QO1+ntxLBpDdBCPx8OyZcu4//77w9ssFgsjRoxg0aJFhxzvdrtxuw9M1y0uDq4aW1JSEtW6ftq2ieeXdY/qOaW5CQBHmvrtAyMAhh+MAEZoDpjFH/xu+MG0kGUpItP0YK2wQUUOUP1f62XBLwPs+HGXuYnuijoSe1wMtK7Aax47xLt8Nn7wdgUghTLaG/tIxhUMLviJw4sDH8lGBemUkW6UkmaUkU4p6UYZqUY5VgIEMCgxE9hnprLbzGSH2Y4dZju2m23ZZbahjEQCBEdGRTI48Gvs0Fl80rJkGkVceNbaqK4JFfq9XZO2n5gIRPv27cPv95OVlRWxPSsrix9++OGQ46dOncrDDz98yPZOnTo1WI0iR7K9qQsQqaF1TV2AtGg7gL7PNMy5S0tLSU09+szAmAhEtXX//fdz5513hn8OBAIUFBSQmZlJaWkpnTp1YseOHRpPVKWkpET3pBrdj0i6H4fSPYmk+xFJ9+NQdb0npmlSWlpKTs6Rx8GFxEQgatOmDVarlby8yM6EvLw8srOzDzne6XTidEYOaEtLSwPAqBrVl5KSor+oB9E9iaT7EUn341C6J5F0PyLpfhyqLvfkWC1DIS1nqHg9OBwOBg4cyLx588LbAoEA8+bNY8iQIU1YmYiIiDQHMdFCBHDnnXcyduxYTj31VE477TSeffZZysvLuf7665u6NBEREWliMROIrrzySvbu3cvkyZPJzc2lf//+fPzxx4cMtD4Wp9PJgw8+eEiXWizTPYmk+xFJ9+NQuieRdD8i6X4cqjHuScysQyQiIiJyJDExhkhERETkaBSIREREJOYpEImIiEjMUyASERGRmKdAdARTp05l0KBBJCcn065dOy699FI2bNgQcYzL5WLcuHFkZmaSlJTEFVdcccjij63VH//4RwzDYMKECeFtsXY/du3axW9+8xsyMzOJj4+nb9++fPfdd+H9pmkyefJk2rdvT3x8PCNGjGDTpk1NWHHD8vv9TJo0iW7duhEfH8/xxx/PI488EvEModZ8TxYsWMAll1xCTk4OhmHw/vvvR+yvyXsvKChgzJgxpKSkkJaWxg033EBZWVkjvovoOdr98Hq93HvvvfTt25fExERycnK49tpr2b17d8Q5WtP9gGP/Hanu5ptvxjAMnn322Yjtreme1OR+rF+/nl/84hekpqaSmJjIoEGD2L79wAONovl7R4HoCL788kvGjRvH4sWLmTt3Ll6vl/PPP5/y8vLwMXfccQcffvghb7/9Nl9++SW7d+/m8ssvb8KqG8fSpUv561//ysknnxyxPZbuR2FhIUOHDsVut/O///2P77//nqeeeor09PTwMdOmTWP69OnMmDGDJUuWkJiYyMiRI3G5XE1YecN54oknePHFF/nzn//M+vXreeKJJ5g2bRrPP/98+JjWfE/Ky8vp168fL7zwwmH31+S9jxkzhnXr1jF37lzmzJnDggULuOmmmxrrLUTV0e5HRUUFy5cvZ9KkSSxfvpz33nuPDRs28Itf/CLiuNZ0P+DYf0dCZs+ezeLFiw/7uInWdE+OdT9+/PFHhg0bRu/evZk/fz6rV69m0qRJxMXFhY+J6u8dU2okPz/fBMwvv/zSNE3TLCoqMu12u/n222+Hj1m/fr0JmIsWLWqqMhtcaWmp2aNHD3Pu3Lnm2Wefbd5+++2macbe/bj33nvNYcOGHXF/IBAws7OzzT/96U/hbUVFRabT6TT//e9/N0aJje7iiy82f/vb30Zsu/zyy80xY8aYphlb9wQwZ8+eHf65Ju/9+++/NwFz6dKl4WP+97//mYZhmLt27Wq02hvCwffjcL799lsTMLdt22aaZuu+H6Z55Huyc+dOs0OHDubatWvNLl26mM8880x4X2u+J4e7H1deeaX5m9/85oivifbvHbUQ1VBxcTEAGRkZACxbtgyv18uIESPCx/Tu3ZvOnTuzaNGiJqmxMYwbN46LL7444n1D7N2PDz74gFNPPZVf/epXtGvXjgEDBvDyyy+H92/ZsoXc3NyI+5GamsrgwYNb5f0AOOOMM5g3bx4bN24EYNWqVXz99ddceOGFQGzek5CavPdFixaRlpbGqaeeGj5mxIgRWCwWlixZ0ug1N7bi4mIMwwg/NzIW70cgEOCaa67h7rvv5sQTTzxkfyzdk0AgwEcffUTPnj0ZOXIk7dq1Y/DgwRHdatH+vaNAVAOBQIAJEyYwdOhQTjrpJAByc3NxOBzh/3lDsrKyyM3NbYIqG94bb7zB8uXLmTp16iH7Yu1+/PTTT7z44ov06NGDTz75hFtuuYXf/e53/OMf/wAIv+eDV0JvrfcD4L777mP06NH07t0bu93OgAEDmDBhAmPGjAFi856E1OS95+bm0q5du4j9NpuNjIyMVn9/XC4X9957L1dddVX4wZ2xeD+eeOIJbDYbv/vd7w67P5buSX5+PmVlZfzxj3/kggsu4NNPP+Wyyy7j8ssv58svvwSi/3snZh7dUR/jxo1j7dq1fP31101dSpPZsWMHt99+O3Pnzo3ov41VgUCAU089lccffxyAAQMGsHbtWmbMmMHYsWObuLqm8dZbbzFr1ixef/11TjzxRFauXMmECRPIycmJ2Xsix+b1evn1r3+NaZq8+OKLTV1Ok1m2bBnPPfccy5cvxzCMpi6nyQUCAQBGjRrFHXfcAUD//v1ZuHAhM2bM4Oyzz476NdVCdAzjx49nzpw5fPHFF3Ts2DG8PTs7G4/HQ1FRUcTxeXl5ZGdnN3KVDW/ZsmXk5+dzyimnYLPZsNlsfPnll0yfPh2bzUZWVlZM3Y/27dvTp0+fiG0nnHBCePZD6D0fPNuhtd4PgLvvvjvcStS3b1+uueYa7rjjjnCLYizek5CavPfs7Gzy8/Mj9vt8PgoKClrt/QmFoW3btjF37txw6xDE3v346quvyM/Pp3PnzuHP2G3btnHXXXfRtWtXILbuSZs2bbDZbMf8nI3m7x0FoiMwTZPx48cze/ZsPv/8c7p16xaxf+DAgdjtdubNmxfetmHDBrZv386QIUMau9wGN3z4cNasWcPKlSvDX6eeeipjxowJ/zmW7sfQoUMPWYZh48aNdOnSBYBu3bqRnZ0dcT9KSkpYsmRJq7wfEJw5ZLFEfqRYrdbwv/Ri8Z6E1OS9DxkyhKKiIpYtWxY+5vPPPycQCDB48OBGr7mhhcLQpk2b+Oyzz8jMzIzYH2v345prrmH16tURn7E5OTncfffdfPLJJ0Bs3ROHw8GgQYOO+jkb9d/DtR6GHSNuueUWMzU11Zw/f765Z8+e8FdFRUX4mJtvvtns3Lmz+fnnn5vfffedOWTIEHPIkCFNWHXjqj7LzDRj6358++23ps1mMx977DFz06ZN5qxZs8yEhATzX//6V/iYP/7xj2ZaWpr5n//8x1y9erU5atQos1u3bmZlZWUTVt5wxo4da3bo0MGcM2eOuWXLFvO9994z27RpY95zzz3hY1rzPSktLTVXrFhhrlixwgTMp59+2lyxYkV41lRN3vsFF1xgDhgwwFyyZIn59ddfmz169DCvuuqqpnpL9XK0++HxeMxf/OIXZseOHc2VK1dGfMa63e7wOVrT/TDNY/8dOdjBs8xMs3Xdk2Pdj/fee8+02+3mSy+9ZG7atMl8/vnnTavVan711Vfhc0Tz944C0REAh/2aOXNm+JjKykrz1ltvNdPT082EhATzsssuM/fs2dN0RTeygwNRrN2PDz/80DzppJNMp9Np9u7d23zppZci9gcCAXPSpElmVlaW6XQ6zeHDh5sbNmxoomobXklJiXn77bebnTt3NuPi4szjjjvO/MMf/hDxC64135MvvvjisJ8ZY8eONU2zZu99//795lVXXWUmJSWZKSkp5vXXX2+WlpY2wbupv6Pdjy1bthzxM/aLL74In6M13Q/TPPbfkYMdLhC1pntSk/vx97//3ezevbsZFxdn9uvXz3z//fcjzhHN3zuGaVZbRlZEREQkBmkMkYiIiMQ8BSIRERGJeQpEIiIiEvMUiERERCTmKRCJiIhIzFMgEhERkZinQCQiIiIxT4FIREREYp4CkYg0O6+++ippaWlNXUZUnHPOOUyYMKFe5zAMA8MwanxPXn311fBr6nttkVihQCQiNXLddddx6aWX1vn1Rwo5Xbt25dlnn43YduWVV7Jx48Y6X6s1mjlz5iH35OGHH6Zjx44MGzYsYt+VV17Jnj17Wv1Dc0WiSYFIRJqd+Ph42rVr19RlNCtpaWkR9+Sbb77ho48+4j//+Q9XX30148ePD++Lj48nOzsbh8PRFKWKtEgKRCISFU8//TR9+/YlMTGRTp06ceutt1JWVgbA/Pnzuf766ykuLg535Tz00EOcc845bNu2jTvuuCO8HQ7fmvThhx8yaNAg4uLiaNOmDZdddll4n9vtZuLEiXTo0IHExEQGDx7M/Pnz61xv9Ro++eQTTjjhBJKSkrjgggvYs2dP+Bifz8fvfvc70tLSyMzM5N5772Xs2LFHbUmrS62HU1hYSE5ODieffDIDBw6kqKio1ucQkQMUiEQkKiwWC9OnT2fdunX84x//4PPPP+eee+4B4IwzzuDZZ58lJSWFPXv2sGfPHiZOnMh7771Hx44dmTJlSnj74Xz00UdcdtllXHTRRaxYsYJ58+Zx2mmnhfePHz+eRYsW8cYbb7B69Wp+9atfccEFF7Bp06Y61RtSUVHBk08+yT//+U8WLFjA9u3bmThxYnj/E088waxZs5g5cybffPMNJSUlvP/++0e9T3Wp9XBGjhyJy+UiISGBCy64gKlTp9bq9SJyEFNEpAbGjh1rjho1qsbHv/3222ZmZmb455kzZ5qpqamHHNelSxfzmWeeidh28LFDhgwxx4wZc9jrbNu2zbRareauXbsitg8fPty8//7761UvYG7evDm87YUXXjCzsrLCP2dlZZl/+tOfwj/7fD6zc+fOEffp7LPPNm+//fZ61QqYs2fPPuy+vLw80+12H3Zf9WuLyNHZmjqQiUjr8NlnnzF16lR++OEHSkpK8Pl8uFwuKioqSEhIqNe5V65cyY033njYfWvWrMHv99OzZ8+I7W63m8zMzHrVm5CQwPHHHx9+Tfv27cnPzweguLiYvLy8iJYqq9XKwIEDCQQCUa31aDTWSiQ6FIhEpN62bt3Kz3/+c2655RYee+wxMjIy+Prrr7nhhhvweDz1DkTx8fFH3FdWVobVamXZsmVYrdaIfUlJSfWq1263R7zOMAxM06zz+6hLrSLSOBSIRKTeli1bRiAQ4KmnnsJiCQ5NfOuttyKOcTgc+P3+Q157pO3VnXzyycybN4/rr7/+kH0DBgzA7/eTn5/PmWeeGbV6jyU1NZWsrCyWLl3KWWedBYDf72f58uX079//sK+pS60i0jgUiESkxoqLi1m5cmXEtszMTLp3747X6+X555/nkksu4ZtvvmHGjBkRx3Xt2pWysjLmzZtHv379SEhIICEhga5du7JgwQJGjx6N0+mkTZs2h1z3wQcfZPjw4Rx//PGMHj0an8/Hf//7X+6991569uzJmDFjuPbaa3nqqacYMGAAe/fuZd68eZx88slcfPHFh5yvJvXWxG233cbUqVPp3r07vXv35vnnn6ewsDA8W+5gdalVRBqHZpmJSI3Nnz+fAQMGRHw9/PDD9OvXj6effponnniCk046iVmzZh0y6+mMM87g5ptv5sorr6Rt27ZMmzYNgClTprB161aOP/542rZte9jrnnPOObz99tt88MEH9O/fn/POO49vv/02vH/mzJlce+213HXXXfTq1YtLL72UpUuX0rlz58Oeryb11sS9997LVVddxbXXXsuQIUNISkpi5MiRxMXFHfE1ta1VRBqHYdanQ1xERMICgQAnnHACv/71r3nkkUeidl7DMJg9e3atVwo/55xz6N+//yErgYvIodRCJCJSR9u2bePll19m48aNrFmzhltuuYUtW7Zw9dVXR/1aV111FR07dqzRsbNmzSIpKYmvvvoq6nWItFZqIRIRqaMdO3YwevRo1q5di2manHTSSfzxj38MD7KOls2bNwPBaf3dunU75vGlpaXk5eUBwUd+HG5clohEUiASERGRmKcuMxEREYl5CkQiIiIS8xSIREREJOYpEImIiEjMUyASERGRmKdAJCIiIjFPgUhERERingKRiIiIxLz/D+N+AxDeGKA/AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aplot.lattice_angle_histogram(structures, bins=40, kde=True, alpha=0.5);" ] }, { "cell_type": "markdown", "id": "e8497f6d", "metadata": {}, "source": [ "### `aspect_ratio_histogram`\n", "\n", "Ratio of longest to shortest lattice vector — a quick check for very\n", "elongated cells. `histtype='step'` draws an unfilled outline; useful when\n", "overlaying multiple datasets." ] }, { "cell_type": "code", "execution_count": 7, "id": "4ceadc60", "metadata": { "execution": { "iopub.execute_input": "2026-05-04T23:33:50.502830Z", "iopub.status.busy": "2026-05-04T23:33:50.502671Z", "iopub.status.idle": "2026-05-04T23:33:50.644319Z", "shell.execute_reply": "2026-05-04T23:33:50.643592Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aplot.aspect_ratio_histogram(structures, bins=40, color='mediumseagreen', histtype='step', linewidth=2);" ] }, { "cell_type": "markdown", "id": "2f978f03", "metadata": {}, "source": [ "## Composition" ] }, { "cell_type": "markdown", "id": "d58475ab", "metadata": {}, "source": [ "### `concentration_histogram`\n", "\n", "Per-structure concentration of each element. Pass `elements=` to restrict\n", "which species are shown." ] }, { "cell_type": "code", "execution_count": 8, "id": "34c46a68", "metadata": { "execution": { "iopub.execute_input": "2026-05-04T23:33:50.647003Z", "iopub.status.busy": "2026-05-04T23:33:50.646665Z", "iopub.status.idle": "2026-05-04T23:33:50.829143Z", "shell.execute_reply": "2026-05-04T23:33:50.828581Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aplot.concentration_histogram(structures, elements=['Cu', 'Zn']);" ] }, { "cell_type": "code", "execution_count": 9, "id": "81ff02e6", "metadata": { "execution": { "iopub.execute_input": "2026-05-04T23:33:50.832285Z", "iopub.status.busy": "2026-05-04T23:33:50.832002Z", "iopub.status.idle": "2026-05-04T23:33:51.003478Z", "shell.execute_reply": "2026-05-04T23:33:51.003048Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aplot.concentration_histogram(structures, elements=['Cu']);" ] }, { "cell_type": "markdown", "id": "cc3616eb", "metadata": {}, "source": [ "## Distances and neighbours" ] }, { "cell_type": "markdown", "id": "3d885b36", "metadata": {}, "source": [ "### `distance_histogram`\n", "\n", "Per-structure neighbour-distance summary. By default the *minimum* neighbour\n", "distance per structure is binned; pass `reduce='mean'` for the mean or any\n", "custom callable. `rmax` sets the neighbour cutoff." ] }, { "cell_type": "code", "execution_count": 10, "id": "706cb113", "metadata": { "execution": { "iopub.execute_input": "2026-05-04T23:33:51.006879Z", "iopub.status.busy": "2026-05-04T23:33:51.006668Z", "iopub.status.idle": "2026-05-04T23:33:59.722672Z", "shell.execute_reply": "2026-05-04T23:33:59.721083Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aplot.distance_histogram(structures, rmax=5.0, reduce='mean', bins=60, color='slateblue');" ] }, { "cell_type": "markdown", "id": "0376fade", "metadata": {}, "source": [ "### `radial_distribution`\n", "\n", "All neighbour distances pooled together and weighted by 1/(4πr²) — useful\n", "for spotting preferred bond lengths. Increase `rmax` *and* `bins` together\n", "for finer resolution at larger distances." ] }, { "cell_type": "code", "execution_count": 11, "id": "b80aa23e", "metadata": { "execution": { "iopub.execute_input": "2026-05-04T23:33:59.725129Z", "iopub.status.busy": "2026-05-04T23:33:59.724921Z", "iopub.status.idle": "2026-05-04T23:34:13.036706Z", "shell.execute_reply": "2026-05-04T23:34:13.035469Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aplot.radial_distribution(structures, rmax=7.0, bins=120, color='darkorange');" ] }, { "cell_type": "markdown", "id": "37d0f1d8", "metadata": {}, "source": [ "## Energy" ] }, { "cell_type": "markdown", "id": "b4d43bb0", "metadata": {}, "source": [ "All energy plots require an attached calculator (e.g. a\n", "`SinglePointCalculator` from a relaxation or an ASE calculator). Use\n", "`density=True` when comparing datasets of different sizes." ] }, { "cell_type": "markdown", "id": "89a4ccfc", "metadata": {}, "source": "### `energy_histogram`\n\nEnergy per atom. `density=True` normalises to a probability density; `log=True`\nswitches the y-axis to log scale, which is useful when a handful of high-energy\noutliers would otherwise compress the main peak." }, { "cell_type": "code", "execution_count": 12, "id": "8367d78d", "metadata": { "execution": { "iopub.execute_input": "2026-05-04T23:34:13.039079Z", "iopub.status.busy": "2026-05-04T23:34:13.038839Z", "iopub.status.idle": "2026-05-04T23:34:25.971584Z", "shell.execute_reply": "2026-05-04T23:34:25.970317Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aplot.energy_histogram(structures, bins=60, color='crimson', density=True);" ] }, { "cell_type": "code", "id": "66879ced", "source": "aplot.energy_histogram(structures, bins=60, color='crimson', log=True);", "metadata": {}, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "id": "d918682f", "metadata": {}, "source": [ "### `energy_distance`\n", "\n", "Energy per atom against neighbour distance. With ≥ 1000 structures the\n", "function automatically switches from a scatter to `hexbin`." ] }, { "cell_type": "code", "execution_count": 13, "id": "8d74fab9", "metadata": { "execution": { "iopub.execute_input": "2026-05-04T23:34:25.974387Z", "iopub.status.busy": "2026-05-04T23:34:25.973844Z", "iopub.status.idle": "2026-05-04T23:34:56.078783Z", "shell.execute_reply": "2026-05-04T23:34:56.078032Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aplot.energy_distance(structures, reduce='mean', rmax=5.0, alpha=0.4);" ] }, { "cell_type": "markdown", "id": "abd5e97e", "metadata": {}, "source": [ "### `energy_volume`\n", "\n", "Energy per atom against per-atom volume. Same hexbin behaviour for large\n", "datasets." ] }, { "cell_type": "code", "execution_count": 14, "id": "69ec37ef", "metadata": { "execution": { "iopub.execute_input": "2026-05-04T23:34:56.081217Z", "iopub.status.busy": "2026-05-04T23:34:56.080775Z", "iopub.status.idle": "2026-05-04T23:35:09.407393Z", "shell.execute_reply": "2026-05-04T23:35:09.406300Z" } }, "outputs": [ { "data": { "image/png": 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", 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