{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy\n", "from matplotlib import pyplot\n", "\n", "import calibr8" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Exponential Model\n", "The exponential function is a rather simple formula that can be applied to quite a number of real-world problems.\n", "This example demonstrates how the `calibr8.exponential` model can describe four commonly seen trends in real world data.\n", "\n", "It is available through base models such as `calibr8.BaseExponentialModelN` and `calibr8.BaseExponentialModelT`, but this example won't go into detail with these and just look at the underlying `calibr8.exponential` function.\n", "\n", "A picture says more than a thousand words, so before the details let's see how it looks like:\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "B = 4\n", "x = numpy.linspace(-B, B)\n", "\n", "fig, axs = pyplot.subplots(\n", " ncols=2, nrows=2, figsize=(8, 8), dpi=150, sharex=True, sharey=True\n", ")\n", "\n", "for ax, theta in zip(\n", " axs.flatten(),\n", " [\n", " (1, 2, 0.5),\n", " (1, 2, -0.5),\n", " (1, -1, 0.5),\n", " (1, -1, -0.5),\n", " ],\n", "):\n", " ax.axhline(0, color=\"black\", lw=0.5)\n", " ax.axvline(0, color=\"black\", lw=0.5)\n", " ax.plot(x, calibr8.exponential(x, theta))\n", " I, L, k = theta\n", " ax.axhline(L, ls=\"--\", lw=0.5)\n", " ax.annotate(\n", " f\"Limit=${L}$\",\n", " xy=(0, L),\n", " xytext=(1, L),\n", " va=\"center\",\n", " arrowprops=dict(arrowstyle=\"-|>\", color=\"black\"),\n", " )\n", " ax.annotate(\n", " f\"Intercept=${I}$\",\n", " xy=(0, I),\n", " xytext=(1, I),\n", " va=\"center\",\n", " arrowprops=dict(arrowstyle=\"-|>\", color=\"black\"),\n", " )\n", " ax.text(s=f\"k=${k}$\", x=0.1, y=3)\n", " ax.set(\n", " ylim=(-B, B),\n", " xlim=(-B, B),\n", " )\n", "fig.tight_layout()\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see from the code and figure above, all flavors have the shape of a simple e-function, but it's shifted, scaled and flipped around depending on:\n", "* Is the y-axis intercept `I` above, `or` below the asymptotic limit `L`?\n", "* Is the rate parameter `k` positive `or` negative?\n", "\n", "We can have exactly four combinations of answers to these two `or` questions, that's why we got four shapes.\n", "\n", "The `calibr8.exponential` model is implemented as...\n", "\n", "$$ I + (L-I) \\cdot (1-e^{-k \\cdot x}) $$\n", "\n", "...because this way, the most common shape (approaching a limit from below) is obtained from all-positive parameters.\n", "\n", "But as we saw above, each paramter has a real-valued support:\n", "\n", "| parameter | interpretation\n", "| ----- | -- |\n", "| $I \\in \\mathcal{R}$ | y-axis intercept |\n", "| $L \\in \\mathcal{R}$ | asymptotic limit |\n", "| $k \\in \\mathcal{R}$ | exponential rate parameter |" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Wed, 15 Apr 2026\n", "\n", "Python implementation: CPython\n", "Python version : 3.13.12\n", "IPython version : 9.11.0\n", "\n", "calibr8 : 7.2.0\n", "matplotlib: 3.10.8\n", "numpy : 2.4.2\n", "platform : 1.0.8\n", "\n", "Watermark: 2.6.0\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.12" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "00216450da264e2187a91104f2391d67": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "00766dfa75e7468ab5362038ffb12ce4": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "00f0dd0f205e4d4b9cb43b684477089b": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "0b0f35b8f7d14d249f74084898b3cbc2": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "L_U", "layout": "IPY_MODEL_9a32c0acde334e95aa894c458ad28e96", "max": 5, "step": 0.1, "style": "IPY_MODEL_a9f1216b2fa641fab1ea0a95d45bbc44", "value": 1 } }, "0df1a1e8bba44bc48c7a3a87acc96b8a": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "0f18c4d8b2de4b669018d7d7a2b40a64": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "L_L", "layout": "IPY_MODEL_43ec8072cd4644e9ae94f01d4891a5a4", "max": 0, "min": -5, "step": 0.1, "style": "IPY_MODEL_b1626998f89d4cbb9e528f6aab5289e3" } }, "0f56434c9314403b8beaaa39fd6ba4f8": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_2deea9d9b3bb4468885c514b520c313b", "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA7AAAAFpCAYAAAClE8QMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOzdeXxV1bn/8c/KHJIQIBCmAEmYZ5CAoigo2IItah0KtvSq1WK92MF77b3aVr3VttrqvW1/VVvQqu3FW2iVKihohYCizAgkYc4JQ0JIyEQSMidn/f7YARISxpzknJN836/XcufZa++1H8KC+LDX3sdYaxERERERERHxdQHeTkBERERERETkUqiAFREREREREb+gAlZERERERET8ggpYERERERER8QsqYEVERERERMQvqIAVERERERERv+CRAtYY87ox5oQxJu08/dOMMcXGmJ317akGfTONMfuNMenGmMc9kY+IiIiIiIi0P8YTnwNrjLkBOAX8xVo7qpn+acBj1tqvnrM/EDgA3AxkAVuBe6y1e1qclIiIiIiIiLQrHrkDa639FCi8glMnAenW2gxrbTWwBLjNEzmJiIiIiIhI+9KWz8BONsbsMsasMsaMrN/XF8hscExW/T4RERERERGRRoLa6DpfAAOstaeMMbcA7wKDAdPMsc2uaTbGzAfmA0REREwYNmxYa+UqIiLiO9xuZxvgg+9dLC+Ek0egxzAIDvd2NiIi0o5s374931rb49z9bVLAWmtLGny90hjzijGmO84d134NDo0Dss8zxiJgEUBSUpLdtm1bK2YsIiIiF/XOdyBjLfx7qm8W2CIi4reMMUea298mP22MMb2MMab+60n11y3AeWnTYGNMgjEmBJgLLG+LnERERPzC4sVO8zVut1O8Jt6o4lVERNqMR+7AGmP+CkwDuhtjsoCngWAAa+0fgbuAh40xtUAFMNc6rz+uNcY8AnwEBAKvW2t3eyInERGRduG115ztvHnezeNcuWlQlgcDb/J2JiIi0oF4pIC11t5zkf6XgJfO07cSWOmJPERERNqdjz/2dgbNcyU724E3ejcPERHpUNrqJU4iIiJyJYKDvZ1B81zJEDsSonp5OxMREelA9NCKiIiIL3vzTaf5kupyOLpRd19FRKTNqYAVERHxZb5YwB7ZAHXVev5VRETanJYQi4iI+LJ167ydQVOuZAgMhQHXejsTERHpYHQHVkRERC6PK9kpXoPDvZ2JiIh0MCpgRUREfNmrrzrNV5RkQ95eLR8WERGvUAErIiLiy5YudZqvcK11tipgRUTEC/QMrIiIiC9bvdrbGTTmSoaIWOg50tuZiIhIB6Q7sCIiInJp3G7IWOvcfTXG29mIiEgHpAJWRETEl73yitN8Qc4uKC+AQdO9nYmIiHRQKmBFRER82YoVTvMFrmRnmzjNm1mIiEgHpmdgRUREfNmqVd7O4CzXWug1GiJjvZ2JiIh0ULoDKyIiIhdXdQqObtLbh0VExKtUwIqIiPiy3/3Oad525HNw16iAFRERr1IBKyIi4svWrHGat7mSISgc+l3j7UxERKQD0zOwIiIivmz5cm9n4HAlQ/x1EBzm7UxERKQD0x1YERERubCTmZB/QMuHRUTE61TAioiI+LIXX3SaN2WsdbYqYEVExMu0hFhERMSXbdzo7Qyc5cNRvaHHMG9nIiIiHZwKWBEREV/2zjvevb67DjLWwdBbwBjv5iIiIh2elhCLiIjI+R3fCRVFWj4sIiI+QQWsiIiIL3v+ead5S3oyYCBxmvdyEBERqaclxCIiIr5s507vXt+VDL3HQkR37+YhIiKCClgRERHftmSJ965dWQJZW+Da73svBxERkQa0hFhERESad/gzcNfq+VcREfEZKmBFRER82bPPOs0bXMkQHAH9Jnnn+iIiIufQEmIRERFftn+/967tSob4KRAU6r0cREREGlABKyIi4ssWL/bOdYsOQ6ELJs33zvVFRESaoSXEIiIi0pRrrbPV868iIuJDVMCKiIj4sqeeclpbcyVD5zjoPrjtry0iInIeWkIsIiLiyzIz2/6adbVw6BMYfisY0/bXFxEROQ8VsCIiIr7sjTfa/prZO6CyWMuHRUTE53hkCbEx5nVjzAljTNp5+r9pjEmpbxuMMWMb9B02xqQaY3YaY7Z5Ih8RERFpAVcyYCBxmpcTERERacxTz8C+Ccy8QP8hYKq1dgzwLLDonP4brbXjrLVJHspHRESkfXjiCae1JVcy9BkPnbq17XVFREQuwiMFrLX2U6DwAv0brLVF9eEmIM4T1xUREWn3Cgqc1lYqiyFrq5YPi4iIT/LGM7APAKsaxBb4pzHGAguttefenQXAGDMfmA/Qv3//Vk9SRETEJyxq9sdi6zn0Kdg6GDS9ba8rIiJyCdq0gDXG3IhTwE5psPs6a222MSYW+NgYs6/+jm4j9YXtIoCkpCTbJgmLiIh0NK5kCImEuInezkRERKSJNvscWGPMGOA14DZr7Zm1UNba7PrtCeAfwKS2yklERMTnPfaY09qKKxkSboDA4La7poiIyCVqkwLWGNMfWAZ8y1p7oMH+CGNM1OmvgS8Bzb7JWEREpEOqqHBaWyjMgKLDev5VRER8lkeWEBtj/gpMA7obY7KAp4FgAGvtH4GngBjgFeN8IHpt/RuHewL/qN8XBPyftfZDT+QkIiLSLrz8cttdy5XsbFXAioiIj/JIAWutveci/Q8CDzazPwMY2/QMERERaXOutdClP3RL9HYmIiIizWqzZ2BFRETkCvzwh05rbXU1zhuIB94EzsooERERn6MCVkRERODYdqgq0fJhERHxad74HFgRERG5VL/9bdtcx5UMJsB5A7GIiIiP0h1YERERcQrYvhMgvKu3MxERETkvFbAiIiK+bMECp7WmiiJnCbGWD4uIiI/TEmIRERFfFh7e+tc49ClYtwpYERHxeSpgRUREfNmLL7b+NdLXQGhnZwmxiIiID9MSYhERkY7MWufzXxNugMBgb2cjIiJyQSpgRUREfNn8+U5rLQUuKD6q5cMiIuIXtIRYRETEl8XEtO74rmRnqwJWRET8gApYERERX/bcc607visZuiZAt4TWvY6IiIgHaAmxiIhIR1VbDYfX6+6riIj4DRWwIiIivuz++53WGrK2QvUpFbAiIuI3tIRYRETEl/Xr13pju5LBBELC9a13DREREQ9SASsiIuLLnnmm9cZ2JUPcRAiLbr1riIiIeJCWEIuIiHRE5YWQvUPLh0VExK+ogBUREfFl8+Y5zdMy1gFWBayIiPgVLSEWERHxZUOHts64rmRn6XCf8a0zvoiISCtQASsiIuLLnnzS82NaC661kDAVAvW/AiIi4j+0hFhERKSjyT8AJVlaPiwiIn5HBayIiIgvmzvXaZ7kSna2KmBFRMTPaN2QiIiILxs3zvNjupIhZhB0HeD5sUVERFqRClgRERFf9vjjnh2vtgoOfwbjW+HNxiIiIq1MS4hFREQ6kszNUFOu5cMiIuKXVMCKiIj4sjvvdJqnuJIhIAjip3huTBERkTaiJcQiIiK+bPJkz47nSoZ+V0NolGfHFRERaQMqYEVERHzZY495bqyyfDi+C276qefGFBERaUNaQiwiItJRZKxztnr+VURE/JQKWBEREV92661O8wRXMoR3hd6t8NE8IiIibUBLiEVERHzZ9OmeGcdap4BNnAYBgZ4ZU0REpI2pgBUREfFlP/iBZ8bJ2welx7V8WERE/JqWEIuIiHQErmRnm3ijd/MQERFpAY8UsMaY140xJ4wxaefpN8aY/2eMSTfGpBhjrmrQd68x5mB9u9cT+YiIiLQbs2Y5raXS10D3IdClX8vHEhER8RJPLSF+E3gJ+Mt5+mcBg+vb1cAfgKuNMd2Ap4EkwALbjTHLrbVFHspLRETEv82e3fIxairhyOcw4f6WjyUiIuJFHilgrbWfGmPiL3DIbcBfrLUW2GSM6WKM6Q1MAz621hYCGGM+BmYCf73Q9TLyyvj7tkzuTupHTZ2bea9tZu6kfnxtfBwV1XXc98YW5l0zgNlj+1BSWcN3/ryN+6+LZ+ao3hSWVfPw4u185/pEZozoyYnSSr73fzt4eNpApg2NJftkBY8u3cn3bhrMlMHdOVpQzo/e3sWjNw/hmsQYXHmn+PGyVP5j5lAmDOjG/pxSnnovjR/fMpyx/bqwO7uYZ1bs4anZIxjZJ5pdmSf55cq9PHPbKIb2imL7kUJ+/eF+fnnHaAb2iGRTRgG/+fgAL9w1lv4xnfjsYD6/Tz7Ib+aMo0+XcNbtP8Ef1rn4/TfGExsVxuo9uby6PoM/zJtAt4gQPkw7zhufH+bVe5PoHBbMil3ZLN50hDfvn0R4SCD/2JHFki2ZLH7waoIDA/j7tkze3p7F0ocmA/DXLUd5PyWbtx68BoD/3XiY1XtP8OdvTwLg9c8OscGVz2v3TgRg0acuvjhykj9+awIAr6xLZ092CS99w7mp/v/WHCQj7xS/nTsegP/5536yiyt58e6xAPzqw32cLK/muTvGAPCLD/ZQWePm2dtHAfCzFbsBeHr2SACefDeNsOAAfvKVEQA8sSyFLp1C+M+ZwwB47O+76BMdxr99aSgAP1yyg8QekXx/+mAAHvm/LxjRpzP/Om0QAN/93+1cNaAL828YCMCDf97KtQO78+0pCQDc+/oWZgyP5VuTnen8zdc28dUxfbhnUn8A5izcyF0T4jT3NPc09zT32m7u9ZrizD248rkXWcD82koYeFOrzr3iimoe/PM27poQx6SEGI4VVfCLlXuYPqwng2IjKSirYvGmo1w/KIaEHpEUllXz7s5jXJMYQ1yXThSWVfHx3lwmxnejT5dwisqq+eRAHpPiu9EzOoyCU1V8nl7ApIRu9IgKJb+0is2HCpmU0JWYyFDySqrYeqSQaxJi6BoRwomSSrYfLeLagd2JDg8mp7iSHZlFTBnUnaiwYLJPVrAr6yQ3DO5BRGgQWUXlpB4rZuqQHnQKCSKzsJy07GJuHBpLWHAgRwrK2HO8hOnDehISFMCh/DL25ZRw8/CeBAUG4Mo7xYHcUr48ohcBAYaDJ0pJP3GKWaN6A3Agt5RD+WV8eWQvAPYdLyGzqIKbR/QEYE92CceLK5g+3InTjhWTV1rFjcNiAUjJOklhWTXThjrxrsyTFFfUcMOQHgDsOFpEWVUdUwZ3B2D7kSKqauu4dqATbz1cSJ3bck1iDACbDxUAcHWCE2/KKCAwwDAxvhsAG1z5hAYFMmFAVwA+O5hPRGgg4/s78acH8ogOD2Zsvy4ArNt/gm4RIYyJc+K1+07QIyqUUX2jAVizN5fe0eGM6NMZgI/35NKvazjDejvxR7tzSOgewZCeUQCsSjvOoNhIBsdG4XZbPtqTw5CeUQzsEUltnZuP9+YyrFdnErpHUF3rZs2+XEb07syAmAgqa+pYu/8Eo/pE069bJ8qra/nkQB6j+0YT17UTZVW1fHowj7FxXejTJZzSyho+S89nfL+u9IoOo7iihg2ufCb070ps5zCKyqrZdKiAiQO60T0qlIKyKrYcKmRSQjdiIpy5qLmnuae55/m515y2eolTXyCzQZxVv+98+5swxswH5gNE9h7YOlmKiIi0RwXpEBAM8dfBxj0tGsoCucWVvJ+Sze5jxRzILeWZ9/fw43+kcqqyFgtsPdx4IdXe46WN4kP5ZY3izMKsRvH7u7IJCDBgodZtWZl2nMD6uLrOzcd7cgkMMNS5LdW1dazec4LAQCeuqqlj9d5cggIDqK1zU1l79vjT8T935xLQIP4wLYeAAENNnZuqWjer0nIIMGfjD1KPN4rfT8nGGEN1rZvqOjfLdzWO3915rFH8jx3HAJrEVbV11NbZ88c1ddS6z8aVNXW47cXjvB1VjeLcEieuqKkDC8eLK524ug6A7JMNYgNZRRUAlFfXEmAMRwvLG8WHC87Gx04aMup/P8urazleXIkrz4nLqmrJLank4IlTZ+K8U1Xszy09ExeUVbE3x4lPVdVysryG3dklZ+KSipOkHSvBWktZdR0lFUWkZBWfibccKmRn5skz8eZDhXxx9CRuaymvrmNjRgHbjhSdiTe4CggOLMLttpTX1PF5ej5BgQFn4vUH8wgKDKDObamoqeOTA43jtQdOEBTQIN6X58wtt5vKGjdr9p1oNNc09zT3NPdaNveaY5yboi1Xfwf2fWvtqGb6PgCes9Z+Vh+vAf4DuAkItdb+vH7/k0C5tfa/L3StpKQku23bNo/kLSIi4tNmzHC2q1df+Rh/mALhXeC+9y/rNGstWw8Xse1IIQdyStmXU0pGXhnVdW4AAgxn7lr07BxGZGgQEaFBRIYFERkaSGRoMBGhgUTVb0ODAwkKMAQGmAbbgDNxQIC58l+jiIi0K8aY7dbapHP3t9Ud2Cyg4Vsj4oDs+v3Tztm/ro1yEhER8X1z5rTs/NJcyE2F6U9f1mmpWcU8t2ovG1zOUr8+0WEM7RXF1KE9GNYr6sxyurBgfaasiIi0nbYqYJcDjxhjluC8xKnYWnvcGPMR8EtjTNf6474EPNFGOYmIiPi+73ynZednrHO2l/j5r5mF5bzw0X6W78qmW0QIT88ewR1XxREdHtyyPERERDzAIwWsMeavOHdSuxtjsnDeLBwMYK39I7ASuAVIB8qB++v7Co0xzwJb64d65vQLnURERMQDXMnQKQZ6jbngYYVl1fw++SCLNx0hMMDwyI2DeGhqIlFhKlxFRMR3eOotxPdcpN8CC87T9zrwuifyEBERaXemTXO269Zd/rnWOgVs4o0Q0PxHv1dU1/H654f44zoXZdW1zJnYjx/OGELPzmFXnLKIiEhraaslxCIiInIl7rvvys/N3Q1lJ867fPi9ncf45cq95JZUMWN4T/5z5lAG13+MhIiIiC9SASsiIuLLWlLAupKd7cAbm3R9djCfHyzZydh+Xfj9PVcxKaHblV9HRESkjaiAFRER8WU1Nc42+AqeRXUlQ4/h0LlPo90llTX8x9u7SOwRwdL51+hNwiIi4jeafyBGREREfMPNNzvtctVUwJENzS4ffmbFHnJLq/ifr49T8SoiIn5Fd2BFRER82YMPXtl5Rz6HuqomBezHe3J5e3sW37tpEOP6dfFAgiIiIm1HBayIiIgvmzfvys5zrYXAUBhw7ZldhWXVPLEsleG9O/O9mwZ7KEEREZG2owJWRETEl5WXO9tOnS7vPFcyDJgMIc551lp++m4qxRXV/O8DkwgJ0lNEIiLif/TTS0RExJfdcovTLkfJcTixp9Hy4RUpx1mZmsOjNw9heO/OHk5SRESkbegOrIiIiC97+OHLPydjrbOtL2BzSyp58t00xvfvwvzrEz2YnIiISNtSASsiIuLL5sy5/HNcyRARC7Ejsdby+DspVNXW8d93jyUoUIuvRETEf+mnmIiIiC8rLnbapXK7nRc4DbwRAgJYujWTtfvzeHzmMBJ7RLZeniIiIm1Ad2BFRER82W23Odt16y7t+NxUKM+HgTeRWVjOs+/vYXJiDP8yOb61MhQREWkzKmBFRER82fe/f3nHu5IBcMdP5bEluzDG8MLdYwgIMK2QnIiISNtSASsiIuLL7rjj8o53JUPPUbyZWsnmQ4X8+s4xxHW9zI/gERER8VF6BlZERMSX5ec77VJUl8HRTVQNmMoLH+3npmGx3J0U17r5iYiItCHdgRUREfFld93lbC/lGdgjG6Cums0B46ioqWPBjYMwRkuHRUSk/VABKyIi4sv+/d8v/VhXMgSF8ees3sR1reGq/l1aLy8REREvUAErIiLiy2bPvvRj09dQHXcN6w6U8tANibr7KiIi7Y6egRUREfFlOTlOu5jiLMjfz67QCdS5LbeO69P6uYmIiLQx3YEVERHxZXPnOtuLPQPrWgvA/+UPYkjPSIb16ty6eYmIiHiBClgRERFf9vjjl3acK5m6iJ7841hnHvuS7r6KiEj7pAJWRETEl82cefFj3HWQsZb06ClQYJg9VgWsiIi0TypgRUREfFlmprPt1+/8xxzfBRVFvBcwlLH9ujAgJqJtchMREWljKmBFRER82be+5Wwv9AysKxmApQUD+dfJuvsqIiLtlwpYERERX/bTn178GNdaciOGUlgVzVfH9G79nERERLxEBayIiIgvmzHjwv1VpdjMzawJnM01CTH07BzWNnmJiIh4gT4HVkRExJdlZDjtfA5/jnHXsKJsuD77VURE2r12cwe2pqaGrKwsKisrvZ2KXwgLCyMuLo7g4GBvpyIiIhfy7W872/M9A+tKpiYglBQzlD+M6tVmaYmIiHhDuylgs7KyiIqKIj4+HmOMt9PxadZaCgoKyMrKIiEhwdvpiIjIhfzsZxfstq5ktjKSyUP60KVTSBslJSIi4h3tZglxZWUlMTExKl4vgTGGmJgY3a0WEfEHU6c6rTknj2IKDrK6aqQ++1VERDqEdlPAAipeL4O+VyIifmL/fqc1p/7jc7YEjOPmET3bMCkRERHvaDdLiEVERNqlhx5yts08A+tOT+YEMSQMv4pOIfqRLiIi7Z9HftoZY2YCvwMCgdestc+f0/8b4Mb6sBMQa63tUt9XB6TW9x211t7qiZxERETahV/+svn97jrq0tfySe1V3Dqub9vmJCIi4iUtXkJsjAkEXgZmASOAe4wxIxoeY6191Fo7zlo7Dvg9sKxBd8XpvvZQvGZlZbF06VJvpwH4Vi4iInKFrr3WaefK3kFwTQnbgsZxw5DubZ+XiIiIF3jiGdhJQLq1NsNaWw0sAW67wPH3AH/1wHV90po1a/jiiy+8nQbgW7mIiMgVSktz2jlqDqzGbQ2Rw6YTGhTohcRERETanicK2L5AZoM4q35fE8aYAUACkNxgd5gxZpsxZpMx5vbzXcQYM7/+uG15eXkeSNvzPvvsM/7t3/6Nt99+m3HjxvHCCy9wzTXXMHbsWKZMmULDvL/2ta/x05/+lOuvv55evXqxevVqAPbu3csNN9zAmDFjeOGFFxg0aBAAhw4d4rbbbiMpKYlJkyaxv/6FHucb59xcDh061MbfDRER8YhHHnHaOUp3/5NUm8CMpBHNnCQiItI+eeIZ2OZeZ2vPc+xc4G1rbV2Dff2ttdnGmEQg2RiTaq11NRnQ2kXAIoCkpKTzje9Y9TjkpF7wkMvWazTMev6Ch0yZMoWJEyfy4osvMmrUKAoKCvjRj34EwM9+9jP+9re/sWDBAgDS0tK47rrrWL9+PcuWLeOtt95i2rRpfPOb3+RPf/oT48eP5+GHH2bUqFHU1NTw4IMPsmjRIgYOHMjKlSt5/vnneeONN5odZ8aMGU1yERERP/XCC033VZYQXbCDd4Nu597EmLbPSURExEs8UcBmAf0axHFA9nmOnQssaLjDWptdv80wxqwDxgNNClh/sX//foYOHQrAm2++ydKlS6mqqiInJ4df1r+Io7y8nOLiYh599FEAamtr6dKlC8uWLWPs2LGMHz8egBEjRhAbG8u7777L7t27ufPOO88cf/311593nOZyERERPzVxYpNd5QfW0gk3AYOmExigj0UTEZGOwxMF7FZgsDEmATiGU6R+49yDjDFDga7Axgb7ugLl1toqY0x34Drg1y3O6CJ3SltLQUEB0dHRBAcH85e//IUtW7aQnJxMZGQkN9xwAyNHjgRg9+7dTJgwgcBA55mllJQURo0aRUpKCuPGjTszXlpaGjNnzmT79u384he/4IEHHmh0va1btzY7zrm5iIiIH9u509k2+PmQvX0lvW0o4ybf7KWkREREvKPFz8Baa2uBR4CPgL3A36y1u40xzxhjGr5V+B5gibW24fLf4cA2Y8wuYC3wvLV2T0tz8pZDhw7Rp08fAFJTU7n22muJjIzknXfeYcOGDYwePRpwCtOGhWpKSgpjxowhJiaGAwcOALBz504WL17M2LFj6d27Nx999BFut/vM2Nba845zbi4iIuLHfvhDpzUQeexTdgaOZmx8rJeSEhER8Q6PfA6stXYlsPKcfU+dE/9XM+dtAEZ7IgdfMGzYMPLz8xk1ahSvvPIK999/P2+//Ta33HILiYmJREREAE4BevXVV585Ly0tjVGjRpGQkMBXvvIVJk6cyOTJk4mPjycxMZFvf/vbrF27luHDhxMeHs6oUaNYvHjxecc5N5dFixZxbXMfwSAiIr7vt79tFJZkH6RXbTZp8fdgjJYPi4hIx2Ia3xD1D0lJSXbbtm2N9u3du5fhw4d7KSPPOHXqFJGRkQC88MILFBcX8/Of/7zVrtcevmciIh1N6ru/YfTO/yLtjtWMGtP0+VgREZH2wBiz3VqbdO5+T3yMjnjIb37zG0aOHMm4ceM4fPgwTz75pLdTEhERb9u61WmnZawlm+4MG3GV93ISERHxEo8sIRbPePLJJ1W0iohIY/Ufx8a6ddi6GuJLtrKr8zT6BAV6Ny8REREvUAErIiLiy1566cyXWWmf0Y9yGDjdiwmJiIh4jwpYERERX1b/cj6AvJ2r6GMNA6++xYsJiYiIeI+egRUREfFlGzY4DYg6tp4DQYPp3UsfkyYiIh2TClgRERFf9uMfw49/TGVpIYlVe8mLvc7bGYmIiHiNlhCLiIj4soULAUjf/AGjjCVq5Je9nJCIiIj36A6siIiILxs6FIYOpXLfak7ZcIYn3ejtjERERLxGd2BFRER82SefgLX0LdjA/k7jmBAW5u2MREREvEYFrIiIiC97+mmqK8vpPfMEGf0f8HY2IiIiXqUlxB62cOFCvvvd73o7DRERaS9ef51985xlw30n6ONzRESkY1MB62EpKSmMHj3a22mIiEh7kZiIuyKVY/RkwKBRFz9eRESkHVMB62GpqamMGTPG22mIiEg7UbdqJUNTN5LZ9RpMgH5si4hIx9Z+fxJOmwZvvul8XVPjxIsXO3F5uRMvXerExcVOvGyZE+fnO/GKFU6ck3PJl01LS9MdWBER8Ziqnz5O+KelBA+Z7u1UREREvM4/C9j9+5sWp6dOOXFdndNfW+vEtbWN45oaOHCgcXzw4Nm4uhrS051xAKqqnLi01IkrK53xTl+vosKJy8rIzMwkMiKCLrm5TpEMUFbm9FdUOPGpU05cWenEpR4cVK8AACAASURBVKVOXFXlxCUlTlxd7cTFxU5cU+PEJ082jouKGv/6Cgud+HT+BQVO7HY7cX6+E5/26qswY8bZ+JVXYNass/Hvfge33no2fvFFuPPOs/Hzz8PcuWfjZ5+FefPOxk89BffffzZ+4gmYP/9s/NhjsGDB2fiHP3TaaQsWOMecNn++M8Zp99/vXOO0efOcHE6bO9fJ8bQ773R+Dafdeqvzazxt1izne3DajBnO9+g0T//DyLRp8OGHTpyZ6cSrVztxRoYTf/KJE+/f78QbNjhxWpoTb93qxDt3OvHOnU68dasTp6U58YYNTnz69/+TT5w4I8OJV6924sxMJ/7wQyc+/Q84K1Y4cX6+Ey9b5sTFxU68dKkTn577ixc78em5+uabTnya5p7mnuae4yJzrzyoGnePQAZd/RVnh+ae5t5p+ntPc09zz6G5137nXjP8s4C9FMuXw333OV8HBzu/Gaf/oIWHw/vvw5w5ThwVBR98AHfc4cRduzrx7NlO3KPHJV0yJSWF0SNHkldYyP0PPURWVhbffvhhak7/hoqIiFymIHcBRZ1iiO7W3dupiIiIeJ2x1no7h8uWlJRkt23b1mjf3r17GT58uJcycjz//PMUFxfz3HPP8fTTT7Nv3z7+9Kc/ERkZ6dW8zscXvmciInJ+J/Nz6fyDRPbHzmL4b972djoiIiJtxhiz3VqbdO7+9nsH1gtSU1MZPXo0p06dIiMjg6CgIJ8tXkVExPelb/mAgM+rGPDpQW+nIiIi4hNUwHrQW2+9xde//nW+//3v8/Of/5xx48axbt06b6clIiJ+qvbAGkrv6kboe+97OxURERGfEOTtBNqboKAgXn/9dQB+9KMfeTkbERHxV9btZsDJTaT3msT4uH7eTkdERMQn6A6siIiIDzp0YBe9yScyP/bs2yxFREQ6OBWwIiIiPih7+0oABnySBv/9317ORkRExDdoCbGIiIgP6pT5CccCetN3xUpvpyIiIuIzdAdWRETEx5RXlDO0YifHu0+G7t2dJiIiIipgRUREfM3+rWuIMFWED7sZli1zmoiIiGgJsYiIiK8p3f1Pam0AAyfNgq9+zdl5xx3eTUpERMQHqIAVERHxMbF5G3CFjWBoZFd47z1vpyMiIuIztIRYRETEhxw7lsmQOhen+t7g7IiOdpqIiIiogBUREfElh7Z8QICxxI6/xdmxdKnTRERERAWspy1cuJDvfve73k5DRET8lHGtpYRI4kZMdnb84Q9OExEREc8UsMaYmcaY/caYdGPM483032eMyTPG7KxvDzbou9cYc7C+3euJfLwpJSWF0aNHezsNERHxQzW1dQwq3cLh6ImYwPrXVKxc6TQRERFpeQFrjAkEXgZmASOAe4wxI5o5dKm1dlx9e63+3G7A08DVwCTgaWNM15bm5E2pqamMGTPG22mIiIgf2rljMz1NIUGDp5/d2amT00RERMQjd2AnAenW2gxrbTWwBLjtEs/9MvCxtbbQWlsEfAzM9EBOMG0avPmm83VNjRMvXuzE5eVOfPqZouJiJz79OXv5+U68YoUT5+Rc8mXT0tJ0B1ZERK5I7herAEi8ZvbZnYsXn/35JSIi0sF5ooDtC2Q2iLPq953rTmNMijHmbWNMv8s81y9kZmYSGRlJly5dvJ2KiIj4mTq3pWvOenKC+xHWPf5sx2uvOU1EREQ88jmwppl99px4BfBXa22VMea7wJ+Bmy7xXOcixswH5gP079//4lmtW3f26+DgxnGnTo3j6OjGcffujeNevS5+Pc4+//rGG2/Qq1cvZs6cyQMPPMDLL79MeHj4JY0hIiId0zbXca5y7yan/9cbd3z8sXcSEhER8UGeuAObBfRrEMcB2Q0PsNYWWGur6sNXgQmXem6DMRZZa5OstUk9evTwQNqed/r51xtuuIHPPvuMP/3pT8yZM0fFq4iIXNS+LR8Tbqrpffrjc04LDnaaiIiIeKSA3QoMNsYkGGNCgLnA8oYHGGN6NwhvBfbWf/0R8CVjTNf6lzd9qX6fX0pNTWX06NEMHDiQHTt2sHPnTr785S97Oy0REfFxbrfFZKylliDCBk9t3Pnmm2ff6SAiItLBtXgJsbW21hjzCE7hGQi8bq3dbYx5BthmrV0OfN8YcytQCxQC99WfW2iMeRanCAZ4xlpb2NKcvOWtt94683VQUBBPPfWUF7MRERF/kXKsmKtqdlDUYzw9QiMbd54uXu+7r63TEhER8TmeeAYWa+1KYOU5+55q8PUTwBPnOfd14HVP5OELiouL+clPfsK9995LbGyst9MRERE/8MmO3fwg4DCVI77ZtLPhOxlEREQ6OI8UsHJWdHQ0L730krfTEBERP2GtpWS386KmsGEzvJyNiIiIb/PEM7AiIiJyhfbllDKifBuVwV2g99imB7z6qtNEREREBayIiIg3rUo9zvUBqZiBN0JAYNMDli51moiIiGgJsYiIiDftS9lErDkJQ8+zfHj16rZNSERExIfpDqyIiIiXuPJO0b9osxMk3ujdZERERPyAClgREREv+TAthxsCUqjpNgSi+zZ/0CuvOE1ERERUwIqIiHhLcuoRrg7cT/CQC7x9eMUKp4mIiIiegRUREfGGrKJywnO2EhpSDQNvOv+Bq1a1XVIiIiI+TndgRUREvODDtByuD0jBBoTAgGu9nY6IiIhfUAHrYQsXLmTBggXeTkNERHzch2k53ByyGzPgGgiJOP+Bv/ud00REREQFrKelpKQwevRob6chIiI+7ERJJUePZpDoPnzh5cMAa9Y4TURERPQMrKelpqbyjW98w9tpiIiID/toTy7XmTQnuFgBu3x56yckIiLiJ3QH1sPS0tIYNWqUt9MQEREf9lFaDrd02ovt1B16atWOiIjIpWq3BeychRv5+7ZMAGrq3MxZuJF/7MgCoKK6jjkLN7JiVzYAJZU1zFm4kQ/TjgNQWFbNnIUbWb0nF4ATpZWXdM3MzEyioqKIjo4+s6+iooI5c+aciW+//faW/+JERMRvFZVVsykjj8kmBTPwRgi4yI/iF190moiIiGgJsSc19/zrrl27GD9+PABVVVWEhoZ6IzUREfERH+/NZYg9QmRN4cWXDwNs3Nj6SYmIiPiJdlvALn1o8pmvgwMDGsXhIYGN4s5hwY3ibhEhjeLYqLBLumZqamqTAnb79u1MnDjxvP0iItKxfJSWw1ci9kEtl1bAvvNOq+ckIiLiL9rtEmJvSE1NZdGiRcTHxxMfH8/kyZNJT09nwIABALz//vtMnz7dy1mKiIi3lFbWsP5gPrPC90DsSIjq5e2URERE/Eq7vQPrDW+99VaTfZ988gmPPvoo8fHxdO3alcmTJzdzpoiIdATJ+04QUFdBfFkKjJp/aSc9/7yzffzx1ktMRETET6iAbWVTp05l6tSp3k5DRER8wEe7c/hShIuAuupLWz4MsHNn6yYlIiLiR1TAioiItIFTVbWs3ZfHa70OQmEoDLj20k5csqR1ExMREfEjegZWRESkDSzZcpSKmjquqtnhFK/B4d5OSURExO+ogBUREWllNXVu3vj8MF/u7yb85IFLXz4M8OyzThMREREtIRYREWltK1OPc+xkBYtGZ8EJLq+A3b+/1fISERHxNypgRUREWpG1lkWfZjCwRwQjKrZBRCz0HHnpAyxe3HrJiYiI+BktIRYREWlFG10F7M4u4TtT4jEZa527r8Z4Oy0RERG/pAJWRESkFS1an0H3yBC+1rsQygsub/kwwFNPOU1ERES0hFhERKS17M8pZd3+PP795iGEHlnh7EycdnmDZGZ6Oi0RERG/pQJWRESklby6PoPw4EDmXTMA/p4MPUdDVM/LG+SNN1onORERET+kJcQetnDhQhYsWODtNERExMtySyp5b+cxvp4UR9egaji6CQZd5vJhERERaUQFrIelpKQwevRob6chIiJe9sbnh6lzWx6YkghHPgd3zeU//wrwxBNOExERERWwnpaamqoCVkSkgztVVctbm48wa1Rv+sd0AlcyBIVDv2suf7CCAqeJiIhI+30Gds7CjU32fXVMb741OZ6K6jrue2NLk/67JsRxd1I/CsuqeXjx9kZ9Sx+afEnXTUtLY9SoUVeWtIiItAtLt2ZSWlnLg9cnODtcyRB/HQSHXf5gixZ5NjkRERE/5pE7sMaYmcaY/caYdGPM4830/5sxZo8xJsUYs8YYM6BBX50xZmd9W+6JfLwlMzOTqKgooqOjG+2fPXu2lzISEZG2VlPn5vXPDjEpvhvj+3eFk5mQf+DKlg+LiIhIIy2+A2uMCQReBm4GsoCtxpjl1to9DQ7bASRZa8uNMQ8Dvwbm1PdVWGvHtTSPc13ojml4SOAF+7tFhFzyHdeGmnv+9fDhw8THx1/2WCIi4p9Wph7n2MkKfnbrSGdHxlpne6UF7GOPOdsXX2x5ciIiIn7OE3dgJwHp1toMa201sAS4reEB1tq11try+nATEOeB6/qc5p5//eKLL7jqqqu8lJGIiLQlay2vrs8gsUcENw2LdXa6kiGqN/QYdmWDVlQ4TURERDxSwPYFGn7Kelb9vvN5AFjVIA4zxmwzxmwyxtx+vpOMMfPrj9uWl5fXsoxbSWpqKosWLSI+Pp74+HgmT57M9u3bmTBhgrdTExGRNrDRVUDasRK+c30iAQEG3HWQsc65+2rMlQ368stOExEREY+8xKm5n8i22QONmQckAVMb7O5vrc02xiQCycaYVGutq8mA1i4CFgEkJSU1O763vfXWW032zZo1i4KCAoKCgrj77ruZOnVqM2eKiEh7sGh9Bt0jQ/ja+Pp/xz2+EyqK9PyriIiIh3iigM0C+jWI44Dscw8yxswAfgJMtdZWnd5vrc2u32YYY9YB44EmBay/WrVq1cUPEhERv7c/p5R1+/P495uHEBYc6Ox0JTvbxGlXPvAPf+hsf/vblqQnIiLSLnhiCfFWYLAxJsEYEwLMBRq9TdgYMx5YCNxqrT3RYH9XY0xo/dfdgeuAhi9/EhER8Quvrs8gLDiAedcMOLvTtRZ6j4WI7t5LTEREpB1p8R1Ya22tMeYR4CMgEHjdWrvbGPMMsM1auxx4AYgE/m6cZ4COWmtvBYYDC40xbpxi+vlz3l4sIiLi89JPlPLezmPcM6k/XSNCnJ1VpZC5Ga79XssG151XERGRMzyxhBhr7Upg5Tn7nmrw9YzznLcBGN1cn4iIiD+oqXPz6NJdRIYG8chNg852HFoP7lo9/yoiIuJBHilgRUREOqqXktNJPVbMH755FbFRYWc7XMkQHAH9rm7ZBRYscLZ6E7GIiEj7KmCttZgr/ZiCDsZan3yRs4iIX9mVeZKX1qZzx/i+zBrdu3GnKxnip0BQaMsuEh7esvNFRETakXZTwIaFhVFQUEBMTIyK2Iuw1lJQUEBYWNjFDxYRkWZV1tTx6N92EhsVytO3jmzcWXQYCl0waX7LL/Tiiy0fQ0REpJ1oNwVsXFwcWVlZ5OXleTsVvxAWFkZcXJy30xAR8Vu/+nAfGXllLH7gaqLDgxt3utY6Wz3/KiIi4lHtpoANDg4mISHB22mIiEgHsCE9nzc+P8x918YzZXAzH5HjSobOcdB9cMsvNr/+Lu6iRS0fS0RExM+1mwJWRESkLZRU1vDY33eR2D2C/5w5rOkBdbVw6BMYfit44pGWmJiWjyEiItJOqIAVERG5DD9bvofc0ireefhawkMCmx6QvQMqiz23fPi55zwzjoiISDsQ4O0ERERE/MWHaTm880UWC6YNZFy/Ls0f5EoGDCROa8PMREREOgYVsCIiIpcg/1QVP/lHKqP6duZ70y/wbKsrGfqMh07dPHPh++93moiIiGgJsYiIyMVYa3liWSqlVbUs+fo4ggPP8++/lcWQtRWmPOq5i/fr57mxRERE/JwKWBERkYt4e3sWH+/J5adfGc7gnlHnP/DQerB1nv34nGee8dxYIiIifk5LiEVERC7gi6NF/GzFHq5O6Ma3r7vIx7W5kiEkEuImtk1yIiIiHYwKWBERkfP47GA+817bTExkCL+dO46AgIt8LI5rDcRfD0Ehnkti3jyniYiIiJYQi4iINOefu3N45P92kNgjgr88MInYqLALn1CYAUWHYfIjnk1k6FDPjiciIuLHVMCKiIicY9kXWfzo7RTGxEXzxn0T6dLpEu6oupKdrSeffwV48knPjiciIuLHVMCKiIg08JeNh3nqvd1cOzCGV/8liYjQS/xR6VoLXfpDt8RWzU9ERKQjUwErIiKC81E5r6xz8cJH+7l5RE9+f894woIDL+3kuho49CmMugPMRZ6TvVxz5zrbJUs8O66IiIgfUgErIiIdnrWW51ftY+GnGXxtfF9+fdeY83/Wa3OObYeqEs8vHwYYN87zY4qIiPgpFbAiItKh1bktP303lb9uyeRfJg/gv2aPvPjbhs/lSgYTAAk3eD7Bxx/3/JgiIiJ+SgWsiIh0WCWVNTyxLJUPUo6z4MaBPPaloZgrWQLsSoa+EyC8q+eTFBERkTNUwIqISIdjreW9ndn8YuVe8k9V8cSsYTw0deCVDVZR5CwhvuFHnk3ytDvvdLbvvNM644uIiPgRFbAiItKh7M8p5cn30thyqJCxcdH86d4kxsR1ufIBD30K1t06z78CTJ7cOuOKiIj4IRWwIiLSIZRW1vDb1Qd5c8NhosKCeO6O0cxJ6nf5z7uey5UMoZ2dJcSt4bHHWmdcERERP6QCVkRE2jVrLct3ZfPzD5zlwnMn9uc/vjyUrhEhnhgc0pOdlzcFBrd8PBEREbkgFbAiItJuHcgt5cl309h8qJAxcdG8+i9JjOvXguXC5yrMgOKjMOUHnhvzXLfe6myXL2+9a4iIiPgJFbAiItKuVNXW8fGeXJZuzeSz9Hyiw4P55ddGM2diPwJbulz4XOlrnG1rPf8KMH16640tIiLiZ1TAiohIu7Anu4S/bcvk3Z3HOFleQ5/oML534yDuuy6Bbp5YLtwcVzJ0TYBuia0zPsAPWvHuroiIiJ9RASsiIn6ruKKG5buy+dvWTFKPFRMSGMDNI3syJ6kf1w3q7vk7rg3VVsPh9TBmTutdQ0RERBpRASsiIn7DWsvRwnI2Hypk/cF8/rk7h6paN8N6RfH07BHcPq6vZ17OdCmytkL1qdZdPgwwa5azXbWqda8jIiLiB1TAioiIz7LWkpFfxuaMQjYfKmBzRiE5JZUAdIsI4etJ/fh6Uj9G9e2MMa14t7U5rmQwgZBwfeteZ/bs1h1fRETEj6iAFRERn2CtJa+0ivS8UxzIKWXrkSI2ZxSSf6oKgB5RoVyd0M1piTEMjo1s+6K1IVcyxE2EsOjWvc6//mvrji8iIuJHVMCKiEibqqlzc7SwHNeJU7jyykg/cQpXntNKK2vPHNc7Oowpg2K4OjGGqxO6kdA9wrsFa0PlhZC9A6Y94e1MREREOhSPFLDGmJnA74BA4DVr7fPn9IcCfwEmAAXAHGvt4fq+J4AHgDrg+9bajzyRk4iItK2q2jqKy2s4UVrFidJKckuqOFFSRW5pJSdKTu+rJP9UNXVue+a8np1DGdgjktvH9WVgjwgGxUYxMDaCXp3DfKdgPVfGOsC2/vOvADNmONvVq1v/WiIiIj6uxQWsMSYQeBm4GcgCthpjlltr9zQ47AGgyFo7yBgzF/gVMMcYMwKYC4wE+gCrjTFDrLV1Lc1LRESaV1vnprrOTXVtg22tm4qaOiqq66ioqaO8uo7K+rj8zL5aSitrKa6ooaSixtk2iKtq3c1eLyYihB5RofTsHMbQnlH07BxGQvcIBsZGktgjgs5hwW38HfAAV7KzdLjP+Na/1hy95VhEROQ0T9yBnQSkW2szAIwxS4DbgIYF7G3Af9V//TbwknH+Wf02YIm1tgo4ZIxJrx9v44UuuC+nlCm/Sm60b0jPKMb160JNnZt/7DjW5JyRfTozsk80FdV1rEjJbtI/Nq4LQ3tFUVpZw6q0nCb9EwZ0ZWCPSArLqlm9N7dJ/9UJ3RgQE8GJ0krW7c9r0j9lUHf6dAkn+2QFn6XnN+mfNrQHsVFhHCkoY/Ohwib9M4b3pFtECK68U2w/UtSkf9aoXkSFBbM/p5RdWSeb9M8e04fwkEB2ZxezO7ukSf/XxvclODCAnZknOZBb2qT/60n9ANh2uJCM/LJGfUEBhjuuigNgU0YBRwvLG/WHBQdy69g+AKw/mMfx4spG/ZGhQdwyujcAa/efIK+0qlF/104h3DyiJwAf78mlqLy6UX+PqFBuHBoLwMrU45yqqm3U3zs6jOsH9wBg+a5sKmsa//tI/26duCYxBoBlX2RR2+DOEEBi9wiS4rsB8LdtmZyrpXNvTN+zc+/DZubeVQ3m3ppm5t6kBnPvk2bm3nUN5t7nzcy9qQ3m3pZm5t70BnPvi2bm3swGcy+lwdw7/V386pje9XOvhD3NzL3bx/chODCAXZknOZB7qkn/XROcubX9SBGHzp17gYbbx/XFAlsOFZBZWNHo6mHBgXylfm597sonp37unc4tMjTozNxafzCf/HPmXnSnYKYOcebWugMnKC6vadQfExFyZu6s3X+CsqrTc8tigdioMK7q3wVb319V07jAi+0cyojenXFb589Gndti7dlfQWxUKPExEdRZy9bDhWCd/bb+oG71hWF1rZv0E6fO9DlbCA8OJCw4kOo6586o2579tV+pwABDUH1L6B7BkJ6R1LktKVnFBAUYAgMMwYEBhAQF8L2bBnPTsFhSj53k1x/up7KmjqOF5RwtLGfr4UKemj2CzmHBfHYwn98nH2xyrV/eMZqBPSJZvSeXV9dnNOn/zZxx9OkSzopd2SzedKRJ/x/mTaBbRAh/35bJ29uzmvS/ef8kwkMC+d+Nh3k/5XiT/qUPTQZg0acu1uw90agv7FgCfx45FQKD+H9rDjb5s9W1Uwh//NYEAH714b4mf3Z6R4fx27lO8fuzFbub/NlI7BHBc3eMAeCJmKvJyCuDhWd/NI7o05mnZ48E4IdLdjT5e/WqAV35z5nDAPju/25v8vfmdYO68/3pgwG49/UtTf5enD48lvk3DARgzsKmP5K/OqY335ocT0V1Hfe9saVJ/10T4rg7qR+FZdU8vHh7k/551wxg9tg+ZJ+s4NGlO5v0f+f6RGaM6Ikr7xQ/XpbapP97Nw1myuDu7M4u5pkVe5r0/8fMoUwY0I3tRwr59Yf7m/Q/NXsEI/tE++fcCw7kz9+eBND6c29ZijP3GtDc09wDzT3Nvbade+fyRAHbF2j4f/VZwNXnO8ZaW2uMKQZi6vdvOufcvs1dxBgzH5gPENJrEFlFFY36s4oqSN53/l9sVlEFH+1u+j//Dfs/SG36zWzYfyFZRU0Ll4aWbG1a+DS0eNPRC/a/ueHwBftfXX/ogv1/+MR1wf7fJ6dfsP9/Pj7Qqv37cpoWzadlFVWQeqz4gv07jjYt2hv2bz3ctPBq2L/BVXDB/k8PNi38Gva3dO6tTLvA3Dt5kbnXTNHc0NJmiu6G3tp84bn3542HL9j/2mcXnnsLP236l2BDL6+98Nz83Zqmf8leTv/v1zpz2zZTuRnAlVeGAad4rN93Wk5JJa76H6C1de6zYxjnuBOlVWTkO+dX1rqx1jY6v6ismqOF5QQYOFVV2ygHY6CsupaCU9UEGMPJBsWxqf9PXim4rSXAGKpr3Wf2G8BgsEBQQADBoQEEBwac7TMGA8R3j2BQj0hq3G4+T88nwBiM4cx2Unw3xvXvSkVVLUu3ZRJgnAI0wBgCAmDOxH7MGN6T3OJKfrlyb5PlvBf7YdojKoSQoIAL/v74pZoKqK1sm+XDIiIi0oixzf1f3eUMYMzd/7+9ew+6qyrvOP59QhIEucnNcAmQRLQoOrF9QRQrCQlttFwcB5V2oMlgBnGkyhSoKEwZHHHoOCrj2EEZtFBgBqyXIbZUCzmJOlKQiEREQTkvMQkJlxBulXvy9I+9oyG815yXd+3znu9nZs3aZ599sn5/7IE8WWvtDfx1Zi6uP58GHJmZ/7DVNffU16ytP7epZlo/C/xvZl5bn/8GcFNmfmeoMfv6+vL2n93RUW6pSRq6y69jY7V9sbH7INWbbvsa/OBT8MmV8LpDXv3x5syp+uXLX/2xJElqiIj4eWb2bXt+LGZg1wLTt/p8ILDtOskt16yNiMnA7sDGEf52QDtM8i+0kqQC2i3Yc9b4FK8AixaNzziSJHWBsVjbdQdwaETMiIipVA9lWrLNNUuAhfXxyUArq6nfJcApEbFjRMwADgVeuahckqQmeOl5WPWT8V0+vGiRRawkSbWOZ2DrPa1nAT+keo3ONzPznoj4LLAiM5cA3wCuqR/StJGqyKW+7ltUD3x6Cfi4TyCWJDXWmtvhxWfgDfPGb8wX6/3RU7rwac2SJI2xMXkPbGbeBNy0zbl/3ur4OeCDg/z2EuCSscghSdKrqt2CSZPhkHeP35jHHVf17oGVJGlsClhJknpCuwXT3wE77jp+Yy5ePH5jSZLUcBawkiSNxB82wPqVcOyF4zvuqaeO73iSJDXYBHxBnyRJr4L+5VU/3u9/feaZqkmSJGdgJUkakXYLdnod7Dd7fMd93/uq3j2wkiRZwEqSNKzMqoCdOQcm7TC+Y3/sY+M7niRJDWYBK0nScB69F55eP/7LhwE+/OHxH1OSpIZyD6wkScNpt6p+5tzxH/vJJ6smSZKcgZUkaVjtFuz9Rthj+viPfdJJVe8eWEmSLGAlSRrSi8/Bqp/CXywsM/4nPlFmXEmSGsgCVpKkoay5DV56tsz+V4APfKDMuJIkNZB7YCVJGsr9S2HSFDj46DLjb9hQNUmS5AysJElDai+Dg46CHXcpM/7JJ1e9e2AlSbKAlSRpUE8/DA/fDfMuKpfhnHPKjS1JUsNYwEqSNJj+5VVfav8rwAknlBtbkqSGcQ+sJEmDabdg571g2tvKZXjooapJpgyfCQAAC41JREFUkiRnYCVJGlBmVcDOnAuTCv577ymnVL17YCVJsoCVJGlAD98Df3ik7PJhgPPPLzu+JEkNYgErSdJA2q2qnzW3bI4FC8qOL0lSg7gHVpKkgbRbsM9hsNv+ZXOsWVM1SZLkDKwkSa/w4rPw+1vhiMWlk8Bpp1W9e2AlSbKAlSTpFX5/K2x6vvz+V4ALLyydQJKkxrCAlSRpW+0W7DAVDn5X6SQwf37pBJIkNYZ7YCVJ2lZ7GRz0Tpi6c+kk0N9fNUmSZAErSdLLPLUeHrmnGcuHAU4/vWqSJMklxJIkvUz/sqp/w7yyOba4+OLSCSRJagwLWEmSttZuwWv3hX3fUjpJ5ZhjSieQJKkxXEIsSdIWmzdX+19nzYVJDflf5H33VU2SJDkDK0nSHz18NzyzoTn7XwE++tGq9z2wkiRZwEqS9EftVtXPnFMyxct9/vOlE0iS1BgWsJIkbdFuwesPh12nlU7yJ+9qwLtoJUlqiIZs8JEkqbAX/gCrb6v2vzbJr35VNUmS5AysJEkA/P5W2PRCs/a/Apx1VtW7B1aSpM4K2IjYE7gBOARYBXwoMx/f5prZwOXAbsAm4JLMvKH+7irgGODJ+vJFmXlXJ5kkSdou7RZMfg0c9M7SSV7uC18onUCSpMbodAnx+cDSzDwUWFp/3tYzwN9n5luABcBlEbHHVt+fl5mz62bxKkkqo92Cg98FU3YqneTljjiiapIkqeMC9iTg6vr4auD9216Qmb/NzN/Vx+uAR4B9OhxXkqSx8+SD8Oi9zVs+DHDXXVWTJEkdF7Cvz8z1AHW/71AXR8SRwFSgvdXpSyLilxHx5YjYcYjfnhERKyJixaOPPtphbEmSttK/rOqbWMCefXbVJEnS8HtgI+IWYKD3CVwwmoEiYj/gGmBhZm6uT38aeIiqqL0C+BTw2YF+n5lX1NfQ19eXoxlbkqQh3b8UdpkG+765dJJXuuyy0gkkSWqMYQvYzJw/2HcR8XBE7JeZ6+sC9ZFBrtsN+C/gwsy8bas/e319+HxE/Btw7qjSS5LUqc2bqhnYN74XIkqneaXZs0snkCSpMTpdQrwEWFgfLwRu3PaCiJgKfA/498z8j22+26/ug2r/rC+6kySNr/Ur4dnHm7l8GOCOO6omSZI6fg/spcC3IuIjwGrggwAR0QecmZmLgQ8B7wH2iohF9e+2vC7nuojYBwjgLuDMDvNIkjQ67VbVz5xTMsXgzjuv6n0PrCRJnRWwmfkYMG+A8yuAxfXxtcC1g/y+of/cLUnqGe1lMO1tsEtDH5D/1a+WTiBJUmN0OgMrSVL3ev5pWHM7vPPjpZMM7vDDSyeQJKkxOt0DK0lS91r1U9j8YnP3vwLcemvVJEmSM7CSpB7WbsHkneCgo0onGdxnPlP17oGVJMkCVpLUw9otOOTdMHnH0kkG9/Wvl04gSVJjWMBKknrTE6vhsd9B3+mlkwztTW8qnUCSpMZwD6wkqTe1l1V9k/e/AvzoR1WTJEnOwEqSelS7BbvuD/s0fIbzoouq3j2wkiRZwEqSetDmTdC/HP7seIgonWZo3/xm6QSSJDWGBawkqfes+wU89wTMmls6yfBmziydQJKkxnAPrCSp97RbQMDMLihgb7mlapIkyRlYSVIPardg/9nw2r1KJxne5z5X9fPnl80hSVIDWMBKknrLc0/Bmp/Bu88unWRkrrmmdAJJkhrDAlaS1FtW/QRyU/Nfn7PF9OmlE0iS1BjugZUk9ZZ2C6a8Fg48snSSkfnBD6omSZKcgZUk9Zh2C2b8JUyeWjrJyFx6adUvWFA2hyRJDWABK0nqHRsfgI398I4zSycZueuvL51AkqTGsICVJPWO/mVV3y37XwGmTSudQJKkxnAPrCSpd7RbsPt02OsNpZOM3Pe/XzVJkuQMrCSpR2x6Cfp/DG85CSJKpxm5L36x6k84oWwOSZIawAJWktQb1t0Jzz/ZXcuHAb797dIJJElqDAtYSVJvaLeAgBnHlE4yOnvvXTqBJEmN4R5YSVJvuH8pHPDnsPOepZOMzne/WzVJkmQBK0nqAc8+AQ+ugFnzSicZva98pWqSJMklxJKkHvDAjyE3d9/+V4AbbyydQJKkxrCAlSRNfO0WTN0VDuwrnWT0dt+9dAJJkhrDJcSSpIktE9pLYcZ7YIcppdOM3g03VE2SJFnASpImuI398MRqmDW3dJLtc/nlVZMkSS4hliRNcO1W1Xfj/leAm24qnUCSpMawgJUkTWztZbDHwbDnzNJJts/OO5dOIElSY7iEWJI0cW16sXoC8axjIaJ0mu1z7bVVkyRJzsBKkiawtSvghae7d/kwwJVXVv2pp5bNIUlSA3RUwEbEnsANwCHAKuBDmfn4ANdtAu6uP67OzBPr8zOA64E9gTuB0zLzhU4ySZL0R+0WxKTqCcTd6uabSyeQJKkxOl1CfD6wNDMPBZbWnwfybGbOrtuJW53/F+DL9e8fBz7SYR5Jkv6k3YID+mCnPUon2X5TplRNkiR1XMCeBFxdH18NvH+kP4yIAI4Fvr09v5ckaUjPbIR1d3b38mGAq66qmiRJ6riAfX1mrgeo+30Hue41EbEiIm6LiC1F6l7AE5n5Uv15LXBAh3kkSao88GPIzRawkiRNIMPugY2IW4BpA3x1wSjGOSgz10XETKAVEXcDTw1wXQ6R4wzgjPrj/0XEfaMYX6O3N7ChdAhpDHgv97qLjyqdYCzsTYT3sSYC/5usicD7eHwcPNDJYQvYzJw/2HcR8XBE7JeZ6yNiP+CRQf6MdXXfHxHLgbcD3wH2iIjJ9SzsgcC6IXJcAVwxXF6NjYhYkZl9pXNInfJe1kTgfayJwntZE4H3cVmdLiFeAiysjxcCN257QUS8LiJ2rI/3Bo4Gfp2ZCSwDTh7q95IkSZIkQecF7KXAcRHxO+C4+jMR0RcR9YvrOAxYERErqQrWSzPz1/V3nwL+MSLup9oT+40O80iSJEmSJqiO3gObmY8B8wY4vwJYXB/fCrx1kN/3A0d2kkGvGpdra6LwXtZE4H2sicJ7WROB93FBUa3klSRJkiSp2TpdQixJkiRJ0riwgNWwIuLciMj6IVxSV4mIL0TEvRHxy4j4XkTsUTqTNBoRsSAi7ouI+yPi/NJ5pNGKiOkRsSwifhMR90TEJ0tnkjoRETtExC8i4j9LZ+lFFrAaUkRMp3pA1+rSWaTtdDNweGa+Dfgt8OnCeaQRi4gdgH8F3gu8GfjbiHhz2VTSqL0EnJOZhwFHAR/3PlaX+yTwm9IhepUFrIbzZeCfADdLqytl5v/U75oGuI3qndNStzgSuD8z+zPzBeB64KTCmaRRycz1mXlnffw01V/8DyibSto+EXEg8DfAlcNdq1eHBawGFREnAg9m5srSWaQxcjrw36VDSKNwALBmq89r8S/+6mIRcQjwduD2skmk7XYZ1eTO5tJBelVHr9FR94uIW4BpA3x1AfAZ4K/GN5E0ekPdx5l5Y33NBVTL2K4bz2xSh2KAc66IUVeKiF2A7wBnZ+ZTpfNIoxURxwOPZObPI2JO6Ty9ygK2x2Xm/IHOR8RbgRnAyoiAatnlnRFxZGY+NI4RpWENdh9vERELgeOBeem7w9Rd1gLTt/p8ILCuUBZpu0XEFKri9brM/G7pPNJ2Oho4MSLeB7wG2C0irs3MUwvn6im+B1YjEhGrgL7M3FA6izQaEbEA+BJwTGY+WjqPNBoRMZnq4WPzgAeBO4C/y8x7igaTRiGqfwm/GtiYmWeXziONhXoG9tzMPL50ll7jHlhJE91XgV2BmyPiroj4WulA0kjVDyA7C/gh1YNvvmXxqi50NHAacGz93+G76hksSRo1Z2AlSZIkSV3BGVhJkiRJUlewgJUkSZIkdQULWEmSJElSV7CAlSRJkiR1BQtYSZIkSVJXsICVJEmSJHUFC1hJkiRJUlewgJUkSZIkdYX/BwGaEM+PtLNQAAAAAElFTkSuQmCC\n", "text/plain": "
" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ] } }, "109ddf2a99b14c4baeddc4bdb107b354": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "L_U", "layout": "IPY_MODEL_8ba81d8dc62c4ef89154542507ee668b", "max": 5, "step": 0.1, "style": "IPY_MODEL_490c38c0a68a49a78b2e9f52fd9d181c", "value": 1 } }, "10e1c651c4ca4debada582734ad1209e": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "L_L", "layout": "IPY_MODEL_b2b93ac11cec48369d020a6405231d8e", "max": 0, "min": -5, "step": 0.1, "style": "IPY_MODEL_d7b2108dca76404287a6cfcec1729842" } }, "141436e285814569a8025ff2ffbabb5e": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "c", "layout": "IPY_MODEL_c64c5dd0deaa4fea9b9deff09ccc6582", "max": 2, "min": -2, "step": 0.1, "style": "IPY_MODEL_4bbf209788e04b97b27be11f246f5eec", "value": 1 } }, "1fa529a6331640359707d4f627406612": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "S", "layout": "IPY_MODEL_d3748f06bf484df3b8bc6b57b2c9eb0f", "max": 3, "min": -2, "step": 0.1, "style": "IPY_MODEL_c54690c3a9ec49a297aea87d3676f9ff", "value": 1.1 } }, "241e5492188348ab9ea1931752653dbb": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "298ea6ccf59e4129b1d49e84f6fd0bf3": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "L_L", "layout": "IPY_MODEL_b75ddfd216b141b7bdf23b71ce97be9c", "max": 0, "min": -5, "step": 0.1, "style": "IPY_MODEL_907461938616468ea15f4a49de893bd9" } }, "29a6ee0cf29144a49fbbc00c51e844f0": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "c", "layout": "IPY_MODEL_732b3bb575fa42ffba6060b19b1f8c2d", "max": 2, "min": -2, "step": 0.1, "style": "IPY_MODEL_dab1c31cfd484f53a4dc2655fc099c6d", "value": 1 } }, "2deea9d9b3bb4468885c514b520c313b": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "2eaaf58c1da6439aa82150b45e0de023": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "L_U", "layout": "IPY_MODEL_b190b9dcae7141548c69ae95776e7d99", "max": 5, "step": 0.1, "style": "IPY_MODEL_f126b9517af6476b8da448d2cb8aa35d", "value": 1 } }, "2f71eed750654913af3e65a36ffc0e1f": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "VBoxModel", "state": { "_dom_classes": [ "widget-interact" ], "children": [ "IPY_MODEL_298ea6ccf59e4129b1d49e84f6fd0bf3", "IPY_MODEL_2eaaf58c1da6439aa82150b45e0de023", "IPY_MODEL_ebb800db294d4db78877513bb35d9da7", "IPY_MODEL_5cf6336f5c1a4b7db3fecb0109022b8e", "IPY_MODEL_d690e198955d4353aea63df4daceb024", "IPY_MODEL_edc9fbf0d3d0414dbb3cc44bc1aa6e89" ], "layout": "IPY_MODEL_4c6108a595794aba9b88f2e3820322ea" } }, "35337c2e01e148868f5e9e66b95f8de8": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "39386552edf34b989f6b78a588d7ad53": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "VBoxModel", "state": { "_dom_classes": [ "widget-interact" ], "children": [ "IPY_MODEL_10e1c651c4ca4debada582734ad1209e", "IPY_MODEL_109ddf2a99b14c4baeddc4bdb107b354", "IPY_MODEL_b895acc7b1694f0f95d9e5f6edf514b1", "IPY_MODEL_1fa529a6331640359707d4f627406612", "IPY_MODEL_a7745f18c1b040c8993eea5fcde4c29f", "IPY_MODEL_3c926ac10dcf40d59fae947cbdd114a2" ], "layout": "IPY_MODEL_00216450da264e2187a91104f2391d67" } }, "3ad4c9962b344f999147f417f6b61239": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "3c926ac10dcf40d59fae947cbdd114a2": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_44b9d217730d431b89e5ea0fd8a7ede4", "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA7AAAAFpCAYAAAClE8QMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOzdeXhV5bXH8e+bGZIQhjDKPE9hDJMioKKCirMFrV5rVdRiW2211dtKb9UqKlZt1RYcq6DggBZUsKKCWECZkzDPJIQhAyRkzjnnvX/sBAIkEOAk+yT5fZ5nP/usPS7oMc1i7ffdxlqLiIiIiIiISKALcjsBERERERERkcpQASsiIiIiIiI1ggpYERERERERqRFUwIqIiIiIiEiNoAJWREREREREagQVsCIiIiIiIlIj+KWANca8aYw5aIxJqmD/KGNMljFmbckyucy+McaYzcaYbcaYR/yRj4iIiIiIiNQ+xh/vgTXGjABygHestb3L2T8KeMhae9UJ24OBLcClQAqwArjZWrvhnJMSERERERGRWsUvHVhr7XdA5lmcOhjYZq3dYa0tAmYB1/gjJxEREREREaldqnMM7DBjzDpjzHxjTK+SbecByWWOSSnZJiIiIiIiInKckGq6z2qgnbU2xxhzBfAp0AUw5Rxb7jPNxpiJwESAyMjIgd27d6+qXEVERETEDT6fsw6qw/OM5h+GQzuhUXuo18jtbERcs2rVqnRrbdMTt1dLAWutzS7z+QtjzKvGmFicjmubMoe2BlIruMZ0YDpAfHy8XblyZRVmLCIiIiJSzXw++Mf5YBvBL5ZDULDbGYm4xhizu7zt1fLPW8aYFsYYU/J5cMl9M3AmbepijOlgjAkDJgBzqyMnEREREQkwM2Y4S121cS6kbYSRv1fxKlIBv3RgjTHvA6OAWGNMCvAnIBTAWvtP4EbgPmOMB8gHJlhn+mOPMeZ+4EsgGHjTWrveHzmJiIiISA3z+uvO+tZb3c3DDT4fLH4GYrtCr+vczkYkYPmlgLXW3nya/S8DL1ew7wvgC3/kISIiIiI12FdfuZ2BezbNg4Mb4PrX1X0VOYXqmsRJREREROTUQkPdzsAdPh8segaadIHe17udjUhAq8NTvImIiIhIQHn7bWepazZ9BgfXw4iH1X0VOQ0VsCIiIiISGOpiAevzweJnoUln6H2D29mIBDw9QiwiIiIigWHRIrczqH6bP4cDiXDdNAjWr+Yip6MOrIiIiIiIG6x1Zh5u3Al63+h2NiI1ggpYEREREQkMr73mLHXFps9hf6Iz9lXdV5FKUQErIiIiIoFh9mxnqQuOdl87QtxNbmcjUmPon3pEREREJDAsXOh2BtVn83zYnwDX/kPdV5EzoA6siIiIiEh1shYWPQ2NOkDcT9zORqRGUQErIiIiIoHh1VedpbbbssDpvmrsq8gZUwErIiIiIoFh3jxnqc2Odl/bQ5/xbmcjUuPon3xEREREJDDMn+92BlVvy5ewbx1c/bK6ryJnQR1YEREREZHqYC0sngIN20HfCW5nI1IjqYAVERERkcDw0kvOUltt/Q+kroERD0FwqNvZiNRIKmBFREREJDB8/bWz1EbWwqIp0LAt9L3Z7WxEaiw9eC8iIiIigWHuXLczqDpbv4LU1TDub+q+ipwDdWBFRERERKrS0bGv6r6KnCsVsCIiIiISGKZOdZbaZttC2LsKLvwthIS5nY1IjaZHiEVEREQkMCxb5nYG/lc69jWmDfS9xe1sRGo8FbAiIiIiEhg+/tjtDPxv+9ewdyVc9aK6ryJ+oEeIRURERESqQtnua7+fup2NSK2gAlZEREREAsOUKc5SW2z/BlJWwIW/UfdVxE/0CLGIiIiIBIa1a93OwH9Ku68NWkO/W93ORqTWUAErIiIiIoFh1iy3M/CfHd9Cyo9w5fPqvor4kR4hFhERERHxJ2th0TPQ4Dzof5vb2YjUKipgRURERCQwPPGEs9R0OxZB8nIY/iCEhLudjUitokeIRURERCQwbN7sdgbnzlpY/AxEt4IB/+N2NiK1jgpYEREREQkMM2a4ncG527kY9iyDK6aq+ypSBfQIsYiIiIiIP5SOfY1uqbGvIlVEBayIiIiIBIbJk52lptq1BPYsheG/gdAIt7MRqZX0CLGIiIiIBIbkZLczODeLpjjdV419FakyKmBFREREJDC89ZbbGZy9nUtg939h7LPqvopUIb88QmyMedMYc9AYk1TB/p8aYxJKlqXGmL5l9u0yxiQaY9YaY1b6Ix8RERERkWq1aApEtYABt7udiUit5q8xsG8DY06xfycw0lrbB3gCmH7C/oustf2stfF+ykdEREREappHH3WWmmbnEtj9vfPeV3VfRaqUXx4httZ+Z4xpf4r9S8uEy4HW/riviIiIiNQiGRluZ3B2Fj8DUc1hoLqvIlXNjTGwdwLzy8QW+I8xxgLTrLUndmcBMMZMBCYCtG3btsqTFBEREZFqNr3cXwMD267/OrMPX/40hNZzOxuRWq9aC1hjzEU4BezwMpsvsNamGmOaAV8ZYzZZa7878dySwnY6QHx8vK2WhEVERERETmXxFKf7Gn+H25mI1AnV9h5YY0wf4HXgGmvt0edDrLWpJeuDwCfA4OrKSUREREQCyEMPOUtNsXsp7PwOLvi1uq8i1aRaClhjTFtgDnCbtXZLme2Rxpjo0s/AZUC5MxmLiIiISC2Xn+8sNcWiKRDZDAaq+ypSXfzyCLEx5n1gFBBrjEkB/gSEAlhr/wlMBpoArxpjADwlMw43Bz4p2RYCvGetXeCPnERERESkhnnlFbczqLzdy2DnYrjsLxBW3+1sROoMf81CfPNp9t8F3FXO9h1A35PPEBEREREJYIunQGRTiP+525mI1CnVNgZWREREROSUHnjAWQLdnuWwY5Ez9lXdV5FqpQJWRERERORMLJoC9WPVfRVxgRvvgRUREREROdmLL7qdwent+QF2fAuXPgFhkW5nI1LnqAMrIiIiIlJZi0u6r4PudDsTkTpJBayIiIiIBIZJk5wlUCWvgO3fwPm/VPdVxCV6hFhEREREAkO9em5ncGqLp0D9JjDopJdriEg1UQErIiIiIoFh6lS3M6hYykrYthBG/x+ER7mdjUidpUeIRUREREROZ9EUqNcYBt3tdiYidZoKWBEREREJDBMnOkugSVkF275yxr6q+yriKj1CLCIiIiKBoUkTtzMo3+IpUK8RDFb3VcRtKmBFREREJDA8/bTbGZwsZRVs/Q9cMhnCo93ORqTO0yPEIiIiIiIVWfxMSfc1AB9tFqmDVMCKiIiISGC44w5nCRR7V8PWL2HY/eq+igQIPUIsIiIiIoGhTRu3Mzje4mcgoqG6ryIBRAWsiIiIiASGxx93O4NjUtfAlgVw8R8hooHb2YhICT1CLCIiIiJyokWl3dd73M5ERMpQASsiIiIigeHWW53FbalrYct8GDZJ3VeRAKNHiEVEREQkMHTr5nYGjsXPQkQMDFH3VSTQqIAVERERkcDw2GNuZwD71sHmz2HU/zpFrIgEFD1CLCIiIiJSSt1XkYCmAlZEREREAsOECc7iln0JsOkzGPoLqNfQvTxEpEJ6hFhEREREAkO/fu7ef/EzEB4DQ+51Nw8RqZAKWBEREREJDI884t699yc63deRj6j7KhLA9AixiIiIiMjiZyC8AQxV91UkkKmAFREREZHAcMMNzlLd9ifBxnkw9D6o16j67y8ilaZHiEVEREQkMAwb5s59j3Zf73Pn/iJSaSpgRURERCQwPPRQ9d/zwHrYOBdGPKzuq0gNoEeIRURERKTuWvwMhEU7r84RkYCnAlZEREREAsPVVztLdTmwATb8G4bcA/UbV999ReSs6RFiEREREQkMl1xSvff77lmn+zpsUvXeV0TOmgpYEREREQkMv/519d3r4EZY/ylc+Bt1X0VqED1CLCIiIiJ1z+JnISwSht3vdiYicgb8UsAaY940xhw0xiRVsN8YY/5mjNlmjEkwxgwos+92Y8zWkuV2f+QjIiIiIjXQ2LHOUtUOboL1n8Dgieq+itQw/nqE+G3gZeCdCvaPBbqULEOAfwBDjDGNgT8B8YAFVhlj5lprD/kpLxERERGpKcaNq577fPcshNZX91WkBvJLAWut/c4Y0/4Uh1wDvGOttcByY0xDY0xLYBTwlbU2E8AY8xUwBnj/VPfbkZbLhyuTuSm+DcVeH7e+/gMTBrfhuv6tyS/y8rO3fuTWoe0Y17cV2QXF3P2vldxxQXvG9G5JZm4R981Yxd0XdmR0z+YcPFLAL99bw32jOjGqWzNSD+fz4Oy1/PLiLgzvEsuejDwe/mgdD17alaEdm7A9LYf/nZPI78Z0Y2C7xmzef4TJ/07if6/oQd82DVmfmsXj8zYweVxPerWKYV3yYZ76YiOPX9Obbi2iWbU7k2cXbOap6+Po1DSK5TsyeOGrLTx3Y1/aNqnP91vT+fs3W3lhfD9aNazHos0H+cei7fz9lv40i45g4YYDvLZkB/+4dSCNI8NYkLSPt/67i9duj6dBRCjz1qUyY/lu3r5jMPXCgvlkTQqzfkxmxl1DCA0O4sOVyXy0KoXZ9zgvCn//xz18lpDKzLuGAvDusl0s3HiQf/18MABvfr+TpdvTef32QQBM/247q3cf5p+3DQTg1UXb2JCazcu3OE31v329lR1pObw4oT8Af/3PZlKzCph6U18AnlmwicN5RTx9fR8A/vL5BgqKfTxxbW8A/jxvPQB/GtcLgMc+TSIiNIg/XNkTgEfnJNCwfhi/H9MdgIc+XEermAh+c1k3AB6YtYaOTaP41SVdALj/vdX0bNWAX4zqDMC9765iQLuGTBzRCYC7/rWC8zvF8vPhHQC4/c0fGd2jGbcNc77OP319OVf1acXNg9sCMH7aMm4c2FrfPX339N3Td0/fPX339N2riu9e/FVV/91rfIjUxEU8WO95fplqGd6Fav/uLdmaxktfb+UPV/QgMjyEZdsz+GBlMvdf1JnI8BB+3JnJl+v3c/v57QkLDmJN8iGWbc9gwqA2hIYEk5SSxco9mdwwoDXBxpCUmkXS3myu7dcKYwwb9mWxad8Rrul/Hj5r2Ziazfa0XK6IawHA+tRs9mTmcXkvJ07am0Xq4QIu7dkciyVxbxZpRwq5uHszrIWElMNk5hYxqlszANYlHyYrv5gRXZsCsGbPIXILvQzvEgvAqt2HKPR4Ob+TE6/YlYnXZxnasQkAP+zMAGBIBydeviOD4CDDoPZON3zp9nTCQ4IZ2M55L+/3W9OJDA+mf1sn/m5LGjH1QunbpiEAizYfpHFkGH1aO/G3mw7SNDqc3ufFAPD1xgO0jKlHz1YNAPhqwwHaNKpH95ZO/OX6/XSIjaRr82gA5ifto3OzKLo0i8bns3y5YT9dm0fTqWkUHq+PrzYeoHuLBnSIjaTI4+PrTQfo2bIB7ZpEUlDs5dvNB+ndKoY2jeuTV+Rh8ZY04s6LoXWj+uQWevhuaxp9WzekVcN6HCko5vtt6fRv04gWMRFk5RezdHs6A9s2olmDCA7lFrF8ZwaD2jUmNjqcjNxCftyZyeAOjWkSGU76kUJW7M5kaIcmNIoM42B2Aav2HOL8TrHE1Atlf1YBa5IPMbxzLNERoaQezmddymFGdGlKZHgIKYfySNybxciuTakfFkJyZh5JqVlc1K0ZEaHB7M7IZcO+bC7p3pywkCB2pueyaX82l/ZoTkhwENvTcthy4AiX92xBUJBh68EjbDuYw9jeLQHYcuAIO9Nzj37XNu3LJvlQPpf2bA7AhtRs9mXlc0mP5ke/i2lHCrmou/NdK091TeJ0HpBcJk4p2VbR9pMYYyYCEwGiWnaqmixFREREpHZb/CyE1IOYcn/lPCeFHi8b92WzdFsGew/n89f/bAYMezLz2JGWw4TXlpFf5CUrvxifheteXXrc+ffNXH1c/MdPjx+dN2XB5uPiFxduPS5+ZdF2gozzWKO18PqSHRhj8PksPmuZsXwPxkCx14fPZ5n14x6MMRR5fHit5cOVzq/lRV4fXp/lo1UpTuxx4jmrU0r+nM75pXFBsRcLHFxdcFx8ILsQgPxiL1jYl+Xszy/yApB6uExsIOVQPgB5RR6CjPP3VjbelXEs3nvYsCM992i8L6uA7WlOnFvo4UB2AVsP5hyN03IK2XzgyNE4I7eQjfudOKfQw+G8YtanZh+Ns/MPk7Q3G2stuUVesvMPkZCSdTT+cWcma5MPH41/2JnJ6j2H8VlLXpGXZTsyWLn70NF46fYMQoMP4fNZ8oq9/HdbOiHBQUfjJVvTCAkOwuuz5Bd7Wbzl+PjbLQcJCSoTb0ojOMjg8fkoKPbx9aaDTuz1UeDx8dWGA8fF/1l/gKAy8YKk/QQFGYq9Pgo9PuYn7SfIHIs/T9x3XPxZQurR70qR18fcdcfHn67de1z8yZq9R787ZeNCjxeP11YcF3vx+I7F5TFOU/TclXRgP7PW9i5n3+fA09ba70vir4HfARcD4dbaJ0u2PwbkWWufP9W94uPj7cqVK/2St4iIiIgEiNGjnfXChVVz/bQt8MpguODXcOmfz/oyOYUe1iUfZntaDjvSco+uU7PyKfurdZPIMGLqhxJTz1kaRJSs64Uc3RYZHkJ4SDChwYawkCDCQ4IICw4mNMQQFhxEWEgQocFBBAcZgo0hyBiCgiA4yPl8dHuQ8cNfkEjgMMasstbGn7i9ujqwKUCbMnFrILVk+6gTti+qppxEREREJJCMH1+11//uWQitB+f/8oxPLSj28s2mg8xbl8o3mw5S6PEBUD8smI5NIxnYrhE3NW1Nx6ZRdIyNpENsJJHhemOliL9V139Vc4H7jTGzcCZxyrLW7jPGfAk8ZYxpVHLcZcCj1ZSTiIiIiASSu++uumunb4Wkj52JmyJjK3VKocfLki3pfJaQylcbDpBb5CU2KpwJg9owumdzujSLpnmDcIxR91OkuvilgDXGvI/TSY01xqTgzCwcCmCt/SfwBXAFsA3IA+4o2ZdpjHkCWFFyqcdLJ3QSEREREfGb756DkAg4/1enPMzrsyzdns68daksSNpPdoGHhvVDubpfK8b1acWQjk0I1uO6Iq7x1yzEN59mvwUmVbDvTeBNf+QhIiIiIjXYqFHOetEi/143fRskfgjDJkFU0woP25GWwwOz15KQkkVUeAiX9WrOuL6tGN45ltDgIP/mJCJnRQ/mi4iIiEhg+NnPqua63z0HweFw/q/L3W2t5f0fk3nisw2Ehwbx/E19ubJPSyJCg6smHxE5aypgRURERCQwVEUBm74NEj+Aob8ot/uakVPI7z9OZOHGAwzvHMvUm/rSIibC/3mIiF+ogBURERGRwFBc7KxDQ/13zSVTne7rBSd3X7/dfJCHP0wgO7+YP17Zg59f0EGvoxEJcCpgRURERCQwXHqps/bXGNiM7ZDwAQy9D6KaHd1cUOzl6S828q9lu+nWPJp37xxMj5YN/HNPEalSKmBFREREJDDcdZd/r/fdVAgOPW7m4fWpWTwway1bD+ZwxwXt+f2Y7hrrKlKDqIAVERERkcBw663+u1bGdkiYDUPuhejmAHy8KoVH5yQSUz+Uf/18MCO7VjwjsYgEJhWwIiIiIhIY8vKcdf36536tJc873deSsa8/7szk9x8nMKh9Y1756QAaR4ad+z1EpNqpgBURERGRwHDFFc76XMfAZu6AdbNgyD0Q3Zx9Wfn8YuYq2jSuzz9vG0hMPT9OEiUi1UoFrIiIiIgEhvvu8891vjvWfS0o9nLPu6vIL/Ly/t1DVbyK1HAqYEVEREQkMIwff+7XyNwJ696HwXdjo5rzhw8TSEjJYvptA+nSPPrcry8irgpyOwEREREREQCyspzlXCx5HoJC4IIHeOu/u/h4dQoPjO7CZb1a+CdHEXGVOrAiIiIiEhiuucZZn+0Y2EO7nO5r/J0sPRjKX75Yw2U9m/Ori7v4K0MRcZkKWBEREREJDL/61emPOZUlz4MJJrX3PUx6ezUdYyP56/h+BAUZ/+QnIq5TASsiIiIigeH668/+3EO7Ye17ePrfwZ2fpOLxWab/TzxR4fp1V6Q20X/RIiIiIhIY0tOddWzsmZ+75HmsCeL/Mi9l0/5s3vrZIDrERvo3PxFxnQpYEREREQkMN97orM90DOzhPbB2JutbXs+MjR5+P6Y7o7o183t6IuI+FbAiIiIiEhh++9uzO2/J8/gw3L3jQq7q05J7R3b0b14iEjBUwIqIiIhIYBg37szPObwHu2Ymn5hLiGrajmdv7IMxmrRJpLZSASsiIiIigWH/fmfd4gze2brkr/isZWrelTx/Sy/qh+nXW5HaTP+Fi4iIiEhgmDDBWVd2DOzhZOyaGXzou4i4nj05v9NZTP4kIjWKClgRERERCQyPPHJmx3//Al5redVzNe9c0aNqchKRgKICVkREREQCw5gxlT82KwXf6neY7RnJ2AsG0V6vzBGpE1TAioiIiEhgSE521m3anPZQu+QFfD7Le6E38v7Fnas4MREJFCpgRURERCQw3Habsz7dGNisvfhW/4sPPCP46bjhNIgIrfLURCQwqIAVERERkcDwxz9W6jDPd38Fn48vG93Cm4NO360VkdpDBayIiIiIBIbRo09/TNZezOp/MdszgnuuuYjgIL3zVaQuCXI7ARERERERAHbscJZTyPt2Kj6fj4QOd3F+Z702R6SuqTUd2OLiYlJSUigoKHA7lRohIiKC1q1bExqqMSMiIiISIH7+c2dd0RjY7FRC181gjnW6ryJS99SaAjYlJYXo6Gjat2+PMXqU5FSstWRkZJCSkkKHDh3cTkdERETE8ec/n3J3xpfP0MDnJa3f/XTQa3NE6qRaU8AWFBSoeK0kYwxNmjQhLS3N7VREREREjhk5ssJdNjuV6PUz+SxoFLeNrfg4EandatUYWBWvlae/KxEREQk4mzc7Szl2//spgqwXc+FviamnIVAidVWt6cCKiIiISA13zz3O+oQxsAWZe2m5fTZfh13MVSOHVX9eIhIw/FLAGmPGAC8BwcDr1topJ+x/ASgdaV8faGatbViyzwskluzbY6292h85iYiIiEgN89RT5W7eMudJeloPTcb+LyHBteoBQhE5Q+f8E8AYEwy8AowFegI3G2N6lj3GWvugtbaftbYf8HdgTpnd+aX7akPxmpKSwuzZs91OAwisXERERERO6/zznaWMnPRkuqZ8yLKo0cQPGOhSYiISKPzxT1iDgW3W2h3W2iJgFnDNKY6/GXjfD/cNSF9//TWrV692Ow0gsHIREREROa2kJGcpY+snTxFivcRe8QeXkhKRQOKPAvY8ILlMnFKy7STGmHZAB+CbMpsjjDErjTHLjTHXVnQTY8zEkuNWBursud9//z2/+c1v+Oijj+jXrx/PPfccQ4cOpW/fvgwfPvy4WX+vu+46/vjHP3LhhRfSokULFi5cCMDGjRsZMWIEffr04bnnnqNz584A7Ny5k2uuuYb4+HgGDx7M5pIJDiq6zom57Ny5s5r/NkRERETO0P33O0uJI+kp9Nj7IT9EjaZHr34uJiYigcIfY2DLm87WVnDsBOAja623zLa21tpUY0xH4BtjTKK1dvtJF7R2OjAdID4+vqLrO+Y/AvsTT3nIGWsRB2OnnPKQ4cOHM2jQIKZOnUrv3r3JyMjg4YcfBuDPf/4zH3zwAZMmTQIgKSmJCy64gCVLljBnzhxmzpzJqFGj+OlPf8obb7xB//79ue++++jduzfFxcXcddddTJ8+nU6dOvHFF18wZcoU3nrrrXKvM3r06JNyEREREQl4zz13XLj1k6foaz3qvorIUf4oYFOANmXi1kBqBcdOACaV3WCtTS1Z7zDGLAL6AycVsDXF5s2b6datGwBvv/02s2fPprCwkP379/NUycQEeXl5ZGVl8eCDDwLg8Xho2LAhc+bMoW/fvvTv3x+Anj170qxZMz799FPWr1/PDTfccPT4Cy+8sMLrlJeLiIiISMAbNOjox+z0vU73NXo056v7KiIl/FHArgC6GGM6AHtxitRbTjzIGNMNaAQsK7OtEZBnrS00xsQCFwDPnnNGp+mUVpWMjAxiYmIIDQ3lnXfe4ccff+Sbb74hKiqKESNG0KtXLwDWr1/PwIEDCQ4OBiAhIYHevXuTkJBAv37HfkAnJSUxZswYVq1axV/+8hfuvPPO4+63YsWKcq9zYi4iIiIiNcLatc66Xz+2fvIU/WwxsVf80d2cRCSgnPMYWGutB7gf+BLYCHxgrV1vjHncGFN2VuGbgVnW2rKP//YAVhpj1gHfAlOstRvONSe37Ny5k1atWgGQmJjI+eefT1RUFB9//DFLly4lLi4OcArTsoVqQkICffr0oUmTJmzZsgWAtWvXMmPGDPr27UvLli358ssv8fl8R69tra3wOifmIiIiIlIjPPAAPPAA2emp9Nz7AT9Gj6ZrT3VfReQYv7wH1lr7BfDFCdsmnxD/XznnLQXi/JFDIOjevTvp6en07t2bV199lTvuuIOPPvqIK664go4dOxIZGQk4BeiQIUOOnpeUlETv3r3p0KEDV155JYMGDWLYsGG0b9+ejh078vOf/5xvv/2WHj16UK9ePXr37s2MGTMqvM6JuUyfPp3zT5iSXkRERCTgvPgiAFvm/IX+tpgmYzX2VUSOZ45viNYM8fHxduXKlcdt27hxIz169HApI//IyckhKioKgOeee46srCyefPLJKrtfbfg7ExERkdolOz2VkJf7kRA1nKEPzXE7HRFxiTFmlbU2/sTt/niNjvjJCy+8QK9evejXrx+7du3iscceczslERERkeqzYgUpL/yacFuksa8iUi6/PEIs/vHYY4+paBUREZE6y/PAr+m2dyWr7r+KwT0HuJ2OiAQgdWBFREREJCBsvLQ9Zmw4TdR9FZEK1MwCdvNmePtt53NxMYwaBTk5Tuz1OvszM53Y43HiQ4eOHb95Mxw+fHycleXERUVOnJ3txIWFTnzkiBMXFDhx6f3y8504N9eJ8/KcOC/PiXNznTg/34lzcpy4oMCJjxxx4sJCJ87OduKiIifOynLi4mInPnz4+PjQISf2eJw4M9OJvV4nzshw4pIZjB7O2l4AACAASURBVElPd+JSr70Go0cfi199FcaOPRa/9BJcXWYy6alToeR9tABMmQITJhyLn3gCbr31WDx5Mtxxx7H40Udh4sRj8UMPwaQyrwYumX3wqEmTnGNKTZzoXKPUHXc49yh1661ODqUmTHByLHXDDc6fodTVVzt/xlJjxzp/B6VGj3b+jkqNGnXyd2/GDCfOy3Pi2bOdOCvLieeUjN9JT3fiefOceP9+J16wwImTk5144UIn3rHDiRcvduLNm5146VInTkpy4hUrnHjtWicufQXBihVOnJTkxEuXOnHp//6LFzvxjh1OvHChEycnO/GCBU68f78Tz5vnxOnpTjxnjhOX/rcze7YTl373Z8xw4tLv6ttvO3Epfff03dN3z6Hvnr57per4d88z8kK6rprHqk6j6dRzgL57+u4di/Vzr+5+98qhR4hFRERExHW5B3cR7SmiVatxbqciIgFMsxDXYfo7ExERkUBwOG0fYS/3xTvDR3Sb3rBokdspiYjLKpqFWB1YEREREXHVpk+fZjBFpP7tDaI793Y7HREJYCpgRURERMQ1h9L3E5cym9UNRhF/5anHvomI1MxJnERERESkVtg452nqUei893Xx4mOT2YiIlEMdWBERERFxRfrBffTZO5u1DUYxoEc83DfK2aExsCJSAXVg/WzatGnce++9bqchIiIiEvA2zHmaKJNP0ytL3vv65pvOIiJSAXVg/SwhIYG4uDi30xAREREJaPv2pzJg3wckxIyiT/eSiUY7dnQ3KREJeOrA+lliYiJ9+vRxOw0RERGRgLZhzjNEmXyajZt8bOPChc4iIlKB2lvAjhoFb7/tfC4uduIZM5w4L8+JZ8924qwsJ54zx4nT05143jwn3r+/0rdNSkpSB1ZERETkFJL37mXwgdmsbziKFl0GHtvx5JPOIiJSAT1C7EfJyclERUXRsGFDt1MRERERCVgbPnmGy00+La6efPyOd991JyERqTFqbwFbdva60NDj4/r1j49jYo6PY2OPj1u0qNQtS8e/pqWl8bvf/Y4nnniCyZMnM23aNEJDQ8/8zyAiIiJSy2zbk8ywtA/Y1HgU3TsOPH5nmzbuJCUiNUbtLWBdUDr+tWnTprRt25bf/va3vPHGGypeRUREREps+uRZOpt8uPpPJ+9csMBZjxlTvUmJSI1Re8fAuiAxMZG4uDhycnLYsWMHISEhREVFuZ2WiIiISEBYv30PIzI/YmvjUTToMODkA6ZMcRYRkQqoA+tHM2fOxOPxMHHiRJ588kk++OADFi1axKhRo9xOTURERMR1W+Y+Ry+TR/A15XRfAWbNqt6ERKTGUQHrZyEhIbxZ8gLuhx9+2OVsRERERALD6s27uPjwR+xsehEd2pXTfYVKzzsiInWXHiEWERERkSplrWXrvKnEmDxaljf2tdS8ecdeYygiUg51YEVERESkSi3bsJMxRz5mT7OLaNu2f8UHPv+8sx43rnoSE5EaRwWsiIiIiFQZay07P3+e800e9U587+uJPvqoepISkRpLBayIiIiIVJlv1m3nytxP2Nt8FOe1qWDsa6nY2OpJSkRqLI2BFREREZEq4fNZkhe8QEOTS/NTjX0tNWeOs4iIVEAdWBERERGpEvNXbeHa/E/Y33IULVqfpvsK8Le/Oevrr6/axESkxlIBKyIiIiJ+V1DsJeXLl2hocvFdVYnuK8C//121SYlIjacCVkRERET87q1vEplQ/G8yW19E48p0XwFiYqo2KRGp8VTAioiIiIhf7T2cT/5//0GjoBy44rHKnzh7trMeP75qEhORGk+TOPnZtGnTuPfee91OQ0RERMQ1z3+2ijvM5+S3vwTOG1j5E//xD2cREamAXwpYY8wYY8xmY8w2Y8wj5ez/mTEmzRiztmS5q8y+240xW0uW2/2Rj5sSEhKIi4tzOw0RERERVyzbnkHzje/SyByh3ug/nNnJX3zhLCIiFTjnR4iNMcHAK8ClQAqwwhgz11q74YRDZ1tr7z/h3MbAn4B4wAKrSs49dK55uSUxMZEJEya4nYaIiIhItfN4fTwzdyVvh36Ot9NoglufQfcVoH79qklMRGoNf3RgBwPbrLU7rLVFwCzgmkqeeznwlbU2s6Ro/QoY44ecYNQoePtt53NxsRPPmOHEeXlOXDrOIivLiUvfO5ae7sTz5jnx/v2Vvm1SUpI6sCIiIlInzfxhD0PT59CQIwRf9OiZX2DGjGO/r4mIlMMfBex5QHKZOKVk24luMMYkGGM+Msa0OcNza4Tk5GSioqJo2LCh26mIiIiIVKvM3CJe/c86fhE+H9vpEmgdf+YXef11ZxERqYA/ZiE25WyzJ8TzgPettYXGmHuBfwEXV/Jc5ybGTAQmArRt2/b0WS1adOxzaOjxcf36x8cxMcfHsbHHxy1anP5+HBv/+tZbb9GiRQvGjBnDnXfeySuvvEK9evUqdQ0RERGRmmjqfzZzvWc+DUKyYNRJU6JUzldf+TcpEal1/NGBTQHalIlbA6llD7DWZlhrC0vC14CBlT23zDWmW2vjrbXxTZs29UPa/peYmEifPn0YMWIE33//PW+88Qbjx49X8SoiIiK1WtLeLD79cQv3RyyAThdDm8Fnd6HQUGcREamAPwrYFUAXY0wHY0wYMAGYW/YAY0zLMuHVwMaSz18ClxljGhljGgGXlWyrkRITE4mLi6NTp06sWbOGtWvXcvnll7udloiIiEiVsdbyf3PXMzHiWyI9h2DkWXZfwZm/pHQOExGRcpzzI8TWWo8x5n6cwjMYeNNau94Y8ziw0lo7F/iVMeZqwANkAj8rOTfTGPMEThEM8Li1NvNcc3LLzJkzj34OCQlh8uTJLmYjIiIiUvXmrktl/e59zGjwObS+CNoOOfuLlRavP/uZP1ITkVrIH2NgsdZ+AXxxwrbJZT4/CpQ7FZ219k3gTX/kEQiysrL4wx/+wO23306zZs3cTkdERESkyuQWenjqi4083Pi/RORlnv3Y11Jl5yARESmHXwpYOSYmJoaXX37Z7TREREREqtzL324jKzub2xr+GzqOgrZD3U5JRGo5f4yBFREREZE6Zmd6Lm8s2ckz7VYQWpB+bmNfS732mrOIiFRABayIiIiInBFrLZP/nUR0cBFXHfkQOoyEdsPO/cKzZzuLiEgF9AixiIiIiJyRGct3s2RrOh/1TSB4c9q5j30ttXChf64jIrWWOrAiIiIiUmk70nL4yxcbuaRzAwbufRc6jIB257udlojUESpgRURERKRSPF4fD36wjvCQYF7svBqTc8A/Y19Lvfqqs4iIVEAFrIiIiIhUyivfbmdd8mGevroz0StfgfYXQvsL/HeDefOcRUSkAhoDKyIiIiKnlZBymL99s5Vr+rXiisL/QM4BuOEN/95k/nz/Xk9Eah11YEVERETklAqKvTw4ey1No8J5/IrO8P0L0G44dLjQ7dREpI5RAetn06ZNY9KkSW6nISIiIuI3U+ZvYntaLlNv6kvMxvcgZ7//Zh4u66WXnEVEpAIqYP0sISGBuLg4t9MQERER8Yvvt6bz9tJd/Oz89gxvH1XSfb2garqvX3/tLCIiFdAYWD9LTEzklltucTsNERERkXOWlVfMQx+uo1PTSB4Z2x1WvwFH9sF106rmhnPnVs11RaTWUAfWz5KSkujdu7fbaYiIiIics8lzk0jPKeSF8f2IoNjpvrY933n3q4iIC2ptATt+2jI+XJkMQLHXx/hpy/hkTQoA+UVexk9bxrx1qQBkFxQzftoyFiTtAyAzt4jx05axcMMBAA4eKajUPZOTk4mOjiYmJubotvz8fMaPH380vvbaa8/9DyciIiJSxT5LSOXfa1P55cVd6NO6Iax5F46kwqjfgzFVc9OpU51FRKQCeoTYj8ob/7pu3Tr69+8PQGFhIeHh4W6kJiIiIlJpB7IL+MMnSfRt05BJF3UCTyEs+Su0HQYdRlbdjZctq7pri0itUGsL2Nn3DDv6OTQ46Li4XljwcXGDiNDj4saRYcfFzaIjKnXPxMTEkwrYVatWMWjQoAr3i4iIiASSYq+PB2atpdDj5YWf9CUkOAh+fMfpvl77atV1XwE+/rjqri0itUKtfYTYDYmJiUyfPp327dvTvn17hg0bxrZt22jXrh0An332GZdcconLWYqIiIhU7M/z1rNsRwZPXhtHx6ZRTvf1+xegzRDoOMrt9ESkjqu1HVg3zJw586Rtixcv5sEHH6R9+/Y0atSIYcOGlXOmiIiIiPveWbaLGcv3cM+Ijtw4sLWzcc27kL0Xrnm5aruvAFOmOOtHquAdsyJSK6iArWIjR45k5MgqHCsiIiIi4gdLtqbx53kbGN2jGb8b093Z6CmEJS9A68HQ8aKqT2Lt2qq/h4jUaCpgRUREROq47Wk5TJq5mi7NonhxQn+Cg0o6rWtnQnYKXP23qu++AsyaVfX3EJEaTWNgRUREROqww3lF3PWvlYQGB/Ha/8QTFV7S3/AUOTMPtx4EnS52N0kRkRIqYEVERETqqGKvj0nvrSblUB7/vG0gbRrXP7Zz7UzISoZRj1RP9xXgiSecRUSkAnqEWERERKSOenzeBv67LYPnbuzDoPaNj+3wFMGS5+G8eOhUjW9Q2Ly5+u4lIjWSClgRERGROujdZbt4d/luJo7oyE3xbY7fue49p/t61QvV130FmDGj+u4lIjWSHiEWERERqWO+35rO/83bwCXdm/H70hmHSx3tvg6EzqPdSVBEpAIqYEVERETqkB1pOfxi5io6N43ipZvLzDhcat37cHgPjKzGsa+lJk92FhGRCugRYhEREZE6Ijkzj/9580dCgoN4/fYyMw6X8hbDkqnQagB0udSFBJOr/54iUqOogBURERGpA5Iz85gwfTk5hR5m3Dnk+BmHS5V2X6+YWv3dV4C33qr+e4pIjaJHiP1s2rRpTJo0ye00RERERI7ak5HH+GnLyC3yMPOuIcS1jjn5IG8xfDcVWvWHLpdVf5IiIpWgAtbPEhISiIuLczsNEREREQB2pecyfvoy8ou9zLxrCL3PK6d4BUiYDYd3uzP2tdSjjzqLiEgFVMD6WWJiogpYERERCQg703OZMH05hR4f7909lF6tKihevcXw3XPQsh90vbx6kywrI8NZREQqUGvHwI6ftuykbVf1acltw9qTX+TlZ2/9eNL+Gwe25qb4NmTmFnHfjFXH7Zt9z7BK3TcpKYnevXufXdIiIiIifrI9LYdbXluOx2t57+4hdG/RoOKDEz6AQ7vg5lnudV8Bpk93794iUiP4pQNrjBljjNlsjNlmjHmknP2/McZsMMYkGGO+Nsa0K7PPa4xZW7LM9Uc+bklOTiY6OpqYmOP/dXPcuHEuZSQiIiJ10baDOUyYvhyvz/L+xKGnLl69npLua1/oOqb6khQROQvn3IE1xgQDrwCXAinACmPMXGvthjKHrQHirbV5xpj7gGeB8SX78q21/c41jxOdqmNaLyz4lPsbR4ZVuuNaVnnjX3ft2kX79u3P+FoiIiIiZ2PbwSNMmP4DAO/fPZQuzaNPfULiB3BoJ0x4z93uK8BDDznrqVPdzUNEApY/OrCDgW3W2h3W2iJgFnBN2QOstd9aa/NKwuVAaz/cN+CUN/519erVDBgwwKWMREREpC7ZcuAIE6YvxxiYNbESxavXA4ufhRZx0O2K6knyVPLznUVEpAL+GAN7HlD2rdMpwJBTHH8nML9MHGGMWQl4gCnW2k/LO8kYMxGYCNC2bdtzSriqJCYmsmDBAt5//30AWrZsycUXX8z48eNPc6aIiIjIuVm8JY1fvreaiNBg3p84lE5No05/UuKHTvd1/Ez3u68Ar7zidgYiEuD8UcCW99POlnugMbcC8cDIMpvbWmtTjTEdgW+MMYnW2u0nXdDa6cB0gPj4+HKv77aZM2eetG3s2LFkZGQQEhLCTTfdxMiRI8s5U0REROTsWGt5bckOpszfRNfm0bz2P/G0aVz/9CeWjn1tEQfdr6z6REVE/MAfBWwK0KZM3BpIPfEgY8xo4A/ASGttYel2a21qyXqHMWYR0B84qYCtqebPn3/6g0RERETOQkGxl0fnJPLJmr1cEdeCqTf1pX5YJX+9S/oIMrfD+BmB0X0FeOABZ/3ii+7mISIByx8F7AqgizGmA7AXmADcUvYAY0x/YBowxlp7sMz2RkCetbbQGBMLXIAzwZOIiIiInML+rAImvruShJQsfntpV+6/uDOmsoVoafe1eRx0U/dVRGqOcy5grbUeY8z9wJdAMPCmtXa9MeZxYKW1di7wHBAFfFjyg3WPtfZqoAcwzRjjw5lQasoJsxeLiIiIyAlW7T7EvTNWkVfoYfptA7msV4szu0DSx5CxDX7yLgT55a2K/qHOq4ichj86sFhrvwC+OGHb5DKfR1dw3lIgrrx9IiIiInKyD1Yk88dPk2jZMIKZdw2h6+lmGj6Rz+t0X5v1gu5XVU2SIiJVxC8FrIiIiIhUrWKvj798vpG3l+7iwi6x/P3m/jSsH3bmF0qaAxlb4SfvBFb3FWDSJGet2YhFpAK1qoC11lZ+7EcdZ21ATuQsIiIi5didkcvDHybw465M7hregUfGdick+CyKT58XFj8DzXpC93H+T/Rc1avndgYiEuBqTQEbERFBRkYGTZo0URF7GtZaMjIyiIiIcDsVEREROQWfz/LOsl08s2AzIcGGF8f349r+5539Bdd/4nRfb/pX4HVfAaZOdTsDEQlwtaaAbd26NSkpKaSlpbmdSo0QERFB69at3U5DREREKrAnI4+HP1rHDzszGdWtKU9fH0fLmHPoUJbtvva42n+JiohUo1pTwIaGhtKhQwe30xARERE5Jz6f5d3lu5kyfxMhQYZnb+zDTQNbn/sTZus/gfQtcONbgdl9BZg40VlPn+5uHiISsGpNASsiIiJS0+3JyON3H69j+Y5MRnZtypQbzrHrWqp05uGm3aHnted+varSpInbGYhIgFMBKyIiIuIyn88y4wen6xpsDM/e0Ieb4v3QdS214VNI2wQ3vhm43VeAp592OwMRCXAqYEVERERctGbPIf7y+UZW7j7EiK5NmXJ9HK0a+nE2Xp8PFj8b+N1XEZFKUAErIiIi4oJd6bk89+VmPk/cR2xUuP/Gup6otPt6wxsQFOzfa/vbHXc467fecjcPEQlYKmBFREREqlFGTiF//2YbM3/YTWhwEA+M7sLdF3YkMrwKfi0r7b7GdoVe1/n/+v7Wpo3bGYhIgFMBKyIiIlIN8ou8vPnfnfxz0Xbyir2MH9SGBy7pQrMGVfhe9o3/hrSNNaP7CvD4425nICIBTgWsiIiISBXy+iwfr07hr//Zwv7sAi7t2Zzfj+lG52bRVXvjmtZ9FRGpBBWwIiIiIlWgoNjLJ2v28vqSHWxPy6Vvm4a8NKEfQzpW06tiNs2Dgxvg+tdrRvcV4NZbnfWMGe7mISIBSwWsiIiIiB9l5BTy7vLdvLtsNxm5RfRq1YBXbhnAFXEt/D9BU0V8Plj0DDTpAr2vr557+kO3bm5nICIBTgWsiIiIiB9sO5jDG9/vZM7qFAo9Pi7u3oy7LuzAsI5Nqq9wLbXpMzi4Hq6bXnO6rwCPPeZ2BiIS4FTAioiIiJwlay3LdmTwxpKdfL3pIGEhQdww4DzuHN6h6se4VsTng8XPQJPO0PsGd3IQEakiKmBFREREztDBIwXMXZvKR6tS2LT/CI0jw/j1JV24bVg7YqPC3U1u8+dwIAmumwbBNexXvQkTnPWsWe7mISIBq4b9VBMRERFxR0Gxl682HODj1Sks2ZqO12fp26YhT10Xx/UDziMiNAAe1bXW6b427gS9b3Q7mzPXr5/bGYhIgFMBKyIiIlIBay0rdx/i41UpfJ6wjyOFHlrGRHDPiI5cP6A1nZtFuZ3i8TZ9DvsT4dp/1rzuK8Ajj7idgYgEuBr4k01ERESk6vh8loS9WSzccIC561LZk5lH/bBgxvRuwY0DWjO0YxOCgqp5UqbKsBYWT4HGHSHuJrezERGpEipgRUREpM7LL/Ly/bZ0vt54gK83HSTtSCFBBoZ1asIDo7twea8WRIYH+K9Nm78o6b7+o2Z2XwFuKJl06uOP3c1DRAJWDf3pJiIiInJuDmQX8PXGgyzceID/bkun0OMjKjyEkV2bckmPZlzUrRmNIsPcTrNyrIVFU6BRB4j7idvZnL1hw9zOQEQCnApYERERqRMO5xXxw85MftiRyfIdGWzYlw1A60b1uHlwW0b3aM7gDo0JCwlyOdOzsGUB7E+Aa16tud1XgIcecjsDEQlwNfgnnIiIiEjFMnOL+HFnBstLCtbNB45gLYSHBNG/bUMevrwbo3s0p2vzKIwJwDGtlWUtLHoaGrWHPuPdzkZEpEqpgBUREZEar9jrY+uBHJL2ZrEu5TArdmWy5UAOABGhQQxs14jfxHVlSMcm9G0TQ3hIALzyxl+2fAn71sE1r9Ts7ivA1Vc767lz3c1DRAJWDf8pJyIiInWN12fZnpZDQkoWiSmHSdibxYbUbAo9PgCiw0Po17Yh1/Q7j6EdGxN3XsOa+VhwZZR2Xxu2qx3d10sucTsDEQlwKmBFREQkIFlrOZBdyNaDR9hyIIetB46w5cARNu0/Ql6RF4D6YcH0Pi+GW4e2o0/rGOLOi6F9k8jAfM1NVdj6H9i3Fq7+OwSHup3Nufv1r93OQEQCnApYERERcVWRx8few/nszshl28Ecth3MYcuBI2w9mMORAs/R4xrVD6VL82h+Et+GPq1j6NM6hg6xUQTXlWL1REe7r22h781uZyMiUi1UwIqIiEiVyy4oZk9GHnsy89hdst6TmcvujDxSD+fjs8eObRwZRpdmUVzTrxVdm0fTuVkUXZtHExsV7t4fIBBt/QpS18C4v9WO7ivA2LHOev58d/MQkYClAlZERETOmrWWnEIP+7MKSM0qYH9WPqmHC9iXlc++rAL2ZRWwP6uAnELPcec1qh9K2yaRDGjbiOv6n0fbxvVp1ySSjk0jVahWhrWweErt676OG+d2BiIS4FTAioiIyHE8Xh+H84s5nFfEobxi0o8Ukp5TSNqRQtJyikgrE6fnFB6dPKmUMRAbFU6rmAg6NY1keOdYWsZE0LpRfdo1qU/bJvVpEFFLOoZu2bYQ9q6CcS9BSJjb2fjPL37hdgYiEuBUwIqIiNRCXp8lp8BDdkExWfnFHCn5nJ1fTHaBhyMFxWTne0qK1CIy80oK1twisgs85V7TGGgSGUZsVDhNo8PpEBtJ0+hwYqPCaN4ggpYx9WgZE0HzBhG1d9bfQGAtLJoCMW2g7y1uZyMiUq38UsAaY8YALwHBwOvW2ikn7A8H3gEGAhnAeGvtrpJ9jwJ3Al7gV9baL/2Rk4iISKDzeH0UeHwUFnsp8PgoKPZSWOwjv9hLfpGXvCJPmc/e4z7nFXnIKfSQW+ght9DrfC5yPucWOuedTlR4CDH1QmkUGUqj+mG0a1yfRvVDaRQZRqP6YTSs72xvEhVG0+hwGtcPIyRYhanrtn0Ne1fCVS/Wru4rwOjRznrhQnfzEJGAdc4FrDEmGHgFuBRIAVYYY+ZaazeUOexO4JC1trMxZgLwDDDeGNMTmAD0AloBC40xXa21p/9/XRERqbOstfis02X0WYvXZ/Fai9frrH0lscfr7Pf4nGM83jLH+nxH42KfxeP1UVwSe3zOZ4/Xh6fMvmKfj2KPpdjro9jro6hkXbqt0OujyFNmKYkLPd6j2wpLC1WPc+0zFWSgXmgw9cNDiAoPITI8mMiwEFrGRBAZHkJkeAhR4cH/396dR8lZ1/kef3/T6U53ls5GVhIjICCLyBICAooXggYHRDkgzr0gDDIoIyqO+3J15KqTgA4ex3tUxo0L3gOIcAEHcdjSBFkT2QIhZN/3naSzdPK7fzzVsdPV1Umnu/NUd96vc548VfV7nqpPkl8q9e1v/aro06sn/aorqa3uSW1NJbXVlfSrzgrW2upK+lb3PHg/vbcra1z72n80nPg/8k7T8S7rBt9lK6lTdUQHdhwwO6U0FyAi7gQuApoWsBcB/1K4fA/w04iIwu13ppS2AfMiYnbh/p5p7QHfWL6JsyY9vsdtRw3rx4mjB7Bj5y7ue3FJ0TnHjazluJH9qd++kwdfWVo0/u5RAzh6eD82bd3Bn6YvLxo/ZcxAjhjSl7Wbt/PojBV/Gyi89hh32CDGDO7Dyk1bqZu5quj8M99xCCMH1LB0fT1/mb26aPzso4cwtF81C9Zs5vl5a4vGzz1mGIP6VDFn1Vv8dcG6ovEJxw+nX3UlM5dv4pXF64vGLzhhJDVVFby2NPuy9+Y+ctKhVFb04OVF63lzxaai8UvHjgZg6oK1zFu1eY+xnhXBR08aBcCzc9ewaO2WPcarKyu48N0jAXhq9iqWrd+6x3jf6p6cf/wIACbPXMmqTdv2GB/Qp4rzjhkGwCMzVrB+8/Y9xof068X7jx4KwJ+mL+OtZm99GzGgmrPeMQSAB19eytZmXYnRg3pz+uGDAbjvxcU07NzzBeVhQ/owdswgAH4/ddHu2xuPOmpYX95dmHv/78XiuXXsyFqOG1lL/fad/PGVZUXjJ4zqv3vuPTx9RdH4KWMGcHhh7j02Y2XR+GmHDeJtg3uzcuM26t4snntnHDF499x7es6aovGzjxrCkH69WLh2S4tz75x3DmVgnyrmrnqLFxc2zq2//Rl94Nhh9Kuu5M0Vm3h1yYai888/fgQ1VRXMWLaRGcv2nHsJuPCEkVRW9ODVJRuYtbJ47n30pEMBeHHheuav2dz0oelZEVxwwkgSMHX+Wpasq9/j3F6VFUw4fjgAz85Zw/KNe869Pr16cu47s7nzlzmrWfPWnnOrf00l7z3yEACmzFrNhvodpCaPP7hvFacdls2dujdXsrnwITWNhwztV80pYwaSUuKJmavY1tBk7iUY3r+ad43qD8BjM1ayBC6QlAAAE2lJREFUs1kxM3JADceM6AfAozNWNvm9ZxdGDezNEUP7smPnrqLnlZTgbYN6M3pQb7Y27GTq/ObPG4m3DerN8Noatuxo4NXFG/52z4XHGT2ohsF9e7F5W8Pu54Wmv/+RA2qoralk89YGFuz+d59238ew2mpqqirYvK2BFRu3FY0P7FNFZUUPtmxvYGP9jt2/vcbHqKmqALKvWNmxcxcp7fHXn7vqyh5UVvSgYWdW8EYEPQKCoKpncNSwflRX9mDVpq1s2tpAjwgioKJHMLx/NR88bjjVlRVMmbWKVZu20aPx/AhGDqjh+nPeQU1lBT+bPIel6+vp0SMb7xHBsSNr+c6FxwFww50vsqzwIUmNH5R08piB3DD+KAA+ffs01m3Zc26f+Y5D+Ny5RwJw5a+fL3pePPeYoVz7viMAuOwXxf8lX3DCCK54z9up376Tq37zfNH4JaeM4tKxo1m7eTvX3TGtaPzy08dw4btHsnR9PV+466Wi8X987+GMP3YYc1a9xTfufbVo/LPnHMlZRx7Ca0s3cOODrxeNf2XC0ZwyZhDTFqzlpodnFo1/+8JjOW5kf56atZp/f3xW0fgPLn4XRwzpy6Ovr+A/pswtGr/lshMZOaCGB19eyh3PLiga/9nlpzCoTxW/n7qIe6YtLhr/7T+Mo6aqgtufmd/i/wt3feo9ANz65Jyi5/3qHeu5bfULcMEt/KRuQdG//YG9q/j5FacAMOnhN4peM4zoX82PP34SAN998LWi1wSHD+nDv158AgBfv/cV5jb7P7+ludfUyWMG8tUJ7wT2d+6d49wr17lXWcFtV48D4CePzeqGc8/nvXKde811RAF7KLCoyfXFwGmljkkpNUTEBmBw4fZnm517aEsPEhHXAtcCVA1/B4ubvVBdvK6ex98o/ZtdvK6eP79WXBw0Hf/PV4v/MJuOt2ZxC0VzU3dNXdTq+O+eW9jq+G3PzG91/JdPzWt1/OdPzml1/KdPzG51/JZH3+zU8TeWFxcujRavr2d6C4VR0/EXFxUX7U3HXyh68b7n+DNziwu7puNTZhX/0KHRkvX1PNHCDy2ajj/yeum5t2R9fYs/NGk63pp79zL3ft/Ck0hT//f51ufe7S08STX1m6cXELFnYdPUr56at3u8pUP+Y8pcIoJdKbV4Hz+vm0sAuwodN4Bodj7Arl3ZMUWPPyX7t9Gwa1fR/UfAorVbiIAdO3exK+153ys3bmNhoTDb1rCL1OwO1mzexoI1WwigfsfOovF1m7fvPn/L9oai/Bu3NrBoXT1B9hUjzfO9ta2BJeuz8fXN/iMOYHvDW6zYuJUEbKxvgNgz/8K1W1i3ZTu7EmzZ1rDnILB8w1a2bN9Jw87E1h27dv+ZNNpY30BE7O4URpP0Qfb3GWQFWWMjL/vZZHal8S2oG+qzNZi7zy78cvSwfgzsU8WqTVt5Y/kmgtjj8c84YjADelexZF0905du2H1+FM4///jhDOhdycwVm3h50XoonN94F5efPoba6kr+unAdU+evLWSjcEzwpQ8eRZ+qnjw6YwXPzVu7+74bc/z7359Mz4rgzhcW8pfZa3aP94jokBdyXym80Fq3ZXvRC7mRA6o59e3ZD85qa3qy+i3ftquCtXOhdhSceDnUtf78LEndUTR/wdXmO4i4FPhgSumawvUrgHEppc82Oea1wjGLC9fnkHVabwSeSSndUbj9V8BDKaU/tPaYY8eOTc89/0K7cnck34B18Ioy+8uPcgskSeo4cx6H2z8Kf/dvcOon807TOd7//mw/eXKeKSSVgYiYllIa2/z2jujALgZGN7k+Cmj+PsrGYxZHRE+gP7B2H89tket2JEnSQaPxk4drD4WTLs87Tee56qq8E0gqcx3xnqQXgCMj4rCIqCL7UKYHmh3zAHBl4fIlwOMpa/0+AHw8InpFxGHAkUDxm8olSZIOZnMnw6Ln4KwvQM9eeafpPFddZRErqVXt7sAW1rReD/yZ7Gt0fp1Sei0ibgSmppQeAH4F3F74kKa1ZEUuhePuJvvApwbgM34CsSRJUhMpQd0k6DcSTv5E3mk6145svTyVlfnmkFS2OuR7YFNKDwEPNbvt200ubwUuLXHu94Hvd0QOSZKkbmdeHSx8Bj70w+7dfQU477xs7xpYSSV0SAErSZKkTpASTC50X0+6Iu80ne+aa/JOIKnMWcBKkiSVq3lPwsKn4fybobI67zSd7/Ju/AFVkjqEXywnSZJUruomQb8R3X/ta6MtW7JNkkqwAytJklSO5k2BBX+B8286OLqvAB/6ULZ3DaykEixgJUmSytHkidB3OJx85d6P7S6uuy7vBJLKnAWsJElSuZk3BRY8BRMmHTzdV4DLLss7gaQy5xpYSZKkclM3CfoOg1MOou4rwIYN2SZJJdiBlSRJKifzn4L5U+CD/wqVNXmnObAuuijbuwZWUgkWsJIkSeVk8sSs+zr2H/JOcuB97nN5J5BU5ixgJUmSysWCpwvd1x8cfN1XgIsvzjuBpDLnGlhJkqRyMXki9BkKpxyE3VeA1auzTZJKsAMrSZJUDhY8A/Pq4APfh6reeafJxyWXZHvXwEoqwQJWkiSpHNRNhD5DYOzVeSfJzxe/mHcCSWXOAlaSJClvC5+FuZPhA987eLuvABdemHcCSWXONbCSJEl5mzwReh9ycHdfAZYvzzZJKsEOrCRJUp4WPgdzn4Dz/hdU9ck7Tb4+/vFs7xpYSSVYwEqSJOWprtB9PfWTeSfJ39e+lncCSWXOAlaSJCkvi56HOY/DeTfafQWYMCHvBJLKnGtgJUmS8jJ5IvQeDKdek3eS8rBoUbZJUgl2YCVJkvKweCrMeQzG/4vd10ZXXJHtXQMrqQQLWEmSpDxMngg1g+DUf8w7Sfn41rfyTiCpzFnASpIkHWiLp8HsR+Dc70CvvnmnKR/jx+edQFKZcw2sJEnSgVZX6L6Os/u6h7lzs02SSrADK0mSdCAtngaz/gvO/Tb06pd3mvJy9dXZ3jWwkkqwgJUkSTqQ6iZBzUAYd23eScrPd7+bdwJJZc4CVpIk6UBZMg1m/RnO+Z92X1ty9tl5J5BU5lwDK0mSdKDU3QTVA+y+ljJzZrZJUgl2YCVJkg6EpS/Cmw/DOd+C6tq805SnT30q27sGVlIJFrCSJEkHwuRJhe7rp/JOUr5+8IO8E0gqcxawkiRJnW3pS/Dmn+C/fdPua2vOOCPvBJLKnGtgJUmSOlvdJKjuD6fZfW3V9OnZJkkl2IGVJEnqTMtehpkPwfu/kRWxKu3667O9a2AlldCuAjYiBgF3AW8H5gMfSymta3bMicDPgFpgJ/D9lNJdhbHfAmcDGwqHX5VSeqk9mSRJkspK3U12X/fVzTfnnUBSmWvvW4i/BjyWUjoSeKxwvbktwCdSSscBE4AfR8SAJuNfTimdWNgsXiVJUvex7BV4449w+j9BzYC9H3+wO/XUbJOkEtpbwF4E3Fa4fBvwkeYHpJTeTCnNKlxeCqwEhrTzcSVJkspf3STo1R9O+3TeSbqGl17KNkkqob0F7LCU0jKAwn5oawdHxDigCpjT5ObvR8QrEXFLRPRq5dxrI2JqRExdtWpVO2NLkiR1suWvFrqv19l93Vc33JBtklTCXtfARsSjwPAWhr7ZlgeKiBHA7cCVKaVdhZu/DiwnK2pvBb4K3NjS+SmlWwvHMHbs2NSWx5YkSTrg6iZBr1o43e7rPvvxj/NOIKnM7bWATSmNLzUWESsiYkRKaVmhQF1Z4rha4D+Bb6WUnm1y38sKF7dFxG+AL7UpvSRJUjlaPh1mPAhnfxVqBuadpus48cS8E0gqc+19C/EDwJWFy1cC9zc/ICKqgPuA/5NS+n2zsRGFfZCtn/WLvyRJUte3u/t6Xd5JupYXXsg2SSqhvd8DOxG4OyI+CSwELgWIiLHAp1NK1wAfA94HDI6IqwrnNX5dzu8iYggQwEuA77GRJEld24rXYMYD8L6v2H1tqy9/Odv7PbCSSoiUut5y0rFjx6apU6fmHUOSJKnY3Z+A2Y/DDa9A70F5p+laphfejHf88fnmkJS7iJiWUhrb/Pb2dmAlSZLUaMXr8Pr98N4vWbzuDwtXSXvR3jWwkiRJalQ3Car6wXs+k3eSrunpp7NNkkqwAytJktQRVs4odF//2e7r/vrGN7K9a2AllWABK0mS1BHqboKqPvCe6/NO0nX94hd5J5BU5ixgJUmS2mvlG/DafXDWF+y+tsfRR+edQFKZcw2sJElSez15E1T2tvvaXnV12SZJJdiBlSRJao+Vb8D0e+GsG6DP4LzTdG3f+U62dw2spBIsYCVJktrjyZsL3dfP5p2k6/v1r/NOIKnMWcBKkiTtr1VvwvQ/wJmft/vaEQ4/PO8Eksqca2AlSZL215M3QWUNnGH3tUM8+mi2SVIJdmAlSZL2R2P39YzPQp9D8k7TPXzve9l+/Ph8c0gqWxawkiRJ++PJm6FnNZzxubyTdB+33553AkllzgJWkiSprVbPhun3wHs+Y/e1I40enXcCSWXONbCSJElt9eTNUNELzvh83km6l4cfzjZJKsEOrCRJUlusng2v3g2n/xP0HZJ3mu5l4sRsP2FCvjkklS0LWEmSpLaY8sOs+3qm3dcOd+edeSeQVOYsYCVJkvbVmjnwyl2F7uvQvNN0P8OH551AUplzDawkSdK+evKHUFHlJw93lgcfzDZJKsEOrCRJ0r5o7L6e9mnoNyzvNN3Tj36U7S+8MN8cksqWBawkSdK+mPIjqKh07WtnuueevBNIKnMWsJIkSXuzdi68fCec9im7r53pEL9TV1LrXAMrSZK0N2vmQu1Iu6+d7d57s02SSrADK0mStDdHjofPvww9KvJO0r395CfZ/uKL880hqWxZwEqSJO0Li9fOd//9eSeQVOYsYCVJklQe+vfPO4GkMucaWEmSJJWHu+7KNkkqwQ6sJEmSysPPfpbtL7ss3xySypYFrCRJksrDQw/lnUBSmbOAlSRJUnno3TvvBJLKnGtgJUmSVB7uuCPbJKkEO7CSJEkqD7/8Zba//PJ8c0gqW+0qYCNiEHAX8HZgPvCxlNK6Fo7bCbxauLowpfThwu2HAXcCg4C/AleklLa3J5MkSZK6qEceyTuBpDLX3rcQfw14LKV0JPBY4XpL6lNKJxa2Dze5fRJwS+H8dcAn25lHkiRJXVVlZbZJUgntLWAvAm4rXL4N+Mi+nhgRAZwD3LM/50uSJKmb+e1vs02SSmhvATsspbQMoLAfWuK46oiYGhHPRkRjkToYWJ9SaihcXwwc2s48kiRJ6qosYCXtxV7XwEbEo8DwFoa+2YbHeVtKaWlEHA48HhGvAhtbOC61kuNa4NrC1bciYmYbHl9tdwiwOu8QUgdwLqs7cB6ru9i3uRzR+Umk/edz8oExpqUb91rAppTGlxqLiBURMSKltCwiRgArS9zH0sJ+bkRMBk4C/gAMiIiehS7sKGBpKzluBW7dW151jIiYmlIam3cOqb2cy+oOnMfqLpzL6g6cx/lq71uIHwCuLFy+Eri/+QERMTAiehUuHwKcCbyeUkrAE8AlrZ0vSZIkSRK0v4CdCJwXEbOA8wrXiYixEVH4Ii+OAaZGxMtkBevElNLrhbGvAv8cEbPJ1sT+qp15JEmSJEndVLu+BzaltAY4t4XbpwLXFC4/DbyrxPlzgXHtyaBO49u11V04l9UdOI/VXTiX1R04j3MU2Tt5JUmSJEkqb+19C7EkSZIkSQeEBaz2KiK+FBGp8CFcUpcSETdHxBsR8UpE3BcRA/LOJLVFREyIiJkRMTsivpZ3HqmtImJ0RDwRETMi4rWI+HzemaT2iIiKiHgxIv6Yd5aDkQWsWhURo8k+oGth3lmk/fQIcHxK6QTgTeDrOeeR9llEVAD/GzgfOBb4+4g4Nt9UUps1AF9MKR0DnA58xnmsLu7zwIy8QxysLGC1N7cAXwFcLK0uKaX0X4XvmgZ4luw7p6WuYhwwO6U0N6W0HbgTuCjnTFKbpJSWpZT+Wri8ieyF/6H5ppL2T0SMAv4O+OXejlXnsIBVSRHxYWBJSunlvLNIHeRq4E95h5Da4FBgUZPri/GFv7qwiHg7cBLwXL5JpP32Y7Lmzq68gxys2vU1Our6IuJRYHgLQ98EvgF84MAmktqutXmcUrq/cMw3yd7G9rsDmU1qp2jhNt8Roy4pIvoCfwBuSCltzDuP1FYRcQGwMqU0LSLen3eeg5UF7EEupTS+pdsj4l3AYcDLEQHZ2y7/GhHjUkrLD2BEaa9KzeNGEXElcAFwbvK7w9S1LAZGN7k+CliaUxZpv0VEJVnx+ruU0r1555H205nAhyPiQ0A1UBsRd6SULs8510HF74HVPomI+cDYlNLqvLNIbRERE4B/A85OKa3KO4/UFhHRk+zDx84FlgAvAP89pfRarsGkNojsJ+G3AWtTSjfknUfqCIUO7JdSShfkneVg4xpYSd3dT4F+wCMR8VJE/DzvQNK+KnwA2fXAn8k++OZui1d1QWcCVwDnFJ6HXyp0sCSpzezASpIkSZK6BDuwkiRJkqQuwQJWkiRJktQlWMBKkiRJkroEC1hJkiRJUpdgAStJkiRJ6hIsYCVJkiRJXYIFrCRJkiSpS7CAlSRJkiR1Cf8fPtVHsiehW3AAAAAASUVORK5CYII=\n", "text/plain": "
" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ] } }, "3ccd26e1b71142d7a0be2fda7ba28100": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "3cd31fbcf32e4f21aaff30e8d2abc0e9": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "L_U", "layout": "IPY_MODEL_d5597c241d6d495baf5a7dffd11c81bf", "max": 5, "step": 0.1, "style": "IPY_MODEL_53e1af85ed584b40a3344664adfad741", "value": 1 } }, "4082686f438143219b3284a5b5822db5": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "43ec8072cd4644e9ae94f01d4891a5a4": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "44b9d217730d431b89e5ea0fd8a7ede4": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "490c38c0a68a49a78b2e9f52fd9d181c": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "4a44ee7fc4a54af0963b69e993e48df2": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "4bbf209788e04b97b27be11f246f5eec": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "4c6108a595794aba9b88f2e3820322ea": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "53e1af85ed584b40a3344664adfad741": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "5671f9b565a04250bcbe7ca2581ee906": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "L_U", "layout": "IPY_MODEL_00766dfa75e7468ab5362038ffb12ce4", "max": 5, "step": 0.1, "style": "IPY_MODEL_bda6670e0ffb463783b5300c6ccca281", "value": 1 } }, "599cc7f561424335b4118fb195494f14": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "5cf6336f5c1a4b7db3fecb0109022b8e": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "S", "layout": "IPY_MODEL_d817c26487c840eeb15ab7885627c28e", "max": 3, "min": -2, "step": 0.1, "style": "IPY_MODEL_bdd3c365bb9441a58331f4bcd6b5c342", "value": 0.5 } }, "5dbc012e56e74961bce74300894d8bcd": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "5e1bf45dbe2b4d41be5cd22cb37c53ce": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "66b80b954ae94e3c97d36d508be4c581": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "I_x", "layout": "IPY_MODEL_88f25dba720c43d6b6e37abca59c0e10", "max": 5, "min": -5, "step": 0.1, "style": "IPY_MODEL_f23fb9a9bd5d4dad8a9eb4b9e0ff16cf" } }, "70fa72c17794476d8e0d9ebcb10362bc": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "732b3bb575fa42ffba6060b19b1f8c2d": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "7480d17e07c548cea08cdb642150c1ba": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "L_L", "layout": "IPY_MODEL_8606c17ff3ef4689971e978d294de19b", "max": 0, "min": -5, "step": 0.1, "style": "IPY_MODEL_ff77751fd4a64cc4a2e927bee5ba968c" } }, "750e64c74d6c42769023488bf9c20548": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "76ad4dda3fd748498c7553a7351b8d3f": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "77b7a06032764d15a1b8c7bfc8712c85": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "7d5e19da4e934d79819dca8836bac3c0": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "8067e82519e64e4888cb771ae0abaa97": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "I_x", "layout": "IPY_MODEL_c3a61bb5d11f4b19adb2d4e021b43fb2", "max": 5, "min": -5, "step": 0.1, "style": "IPY_MODEL_d4a25415903443c9a3e17cf140340a94" } }, "8069bbe2b6ae4b50b60042d4f1d67d24": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "8318c6f61d2248e8b01b7ffe9867ca3e": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "VBoxModel", "state": { "_dom_classes": [ "widget-interact" ], "children": [ "IPY_MODEL_0f18c4d8b2de4b669018d7d7a2b40a64", "IPY_MODEL_3cd31fbcf32e4f21aaff30e8d2abc0e9", "IPY_MODEL_66b80b954ae94e3c97d36d508be4c581", "IPY_MODEL_af98cee3d8e349848a0a6585dd7c2f18", "IPY_MODEL_29a6ee0cf29144a49fbbc00c51e844f0", "IPY_MODEL_adc9e7d43fdd4cadb1f888c3c3f10089" ], "layout": "IPY_MODEL_241e5492188348ab9ea1931752653dbb" } }, "84c7f509ea9b4cefb3a5799dd96b5c97": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "8606c17ff3ef4689971e978d294de19b": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "88f25dba720c43d6b6e37abca59c0e10": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "8ba81d8dc62c4ef89154542507ee668b": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "907461938616468ea15f4a49de893bd9": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "9649f27a3d8147a69a2907091041d7dd": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "96509e8ebba742759086cfc44dcd40b0": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "VBoxModel", "state": { "_dom_classes": [ "widget-interact" ], "children": [ "IPY_MODEL_d2bfe5059d26470f86c3ca7e595e0f2b", "IPY_MODEL_0b0f35b8f7d14d249f74084898b3cbc2", "IPY_MODEL_8067e82519e64e4888cb771ae0abaa97", "IPY_MODEL_ce7ce5fe53e04039ba91658956eeefa3", "IPY_MODEL_141436e285814569a8025ff2ffbabb5e", "IPY_MODEL_0f56434c9314403b8beaaa39fd6ba4f8" ], "layout": "IPY_MODEL_35337c2e01e148868f5e9e66b95f8de8" } }, "9a32c0acde334e95aa894c458ad28e96": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "9bb44ccc0a604dffbcc792cd97e33dec": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_3ad4c9962b344f999147f417f6b61239", "outputs": [ { "data": { "image/png": "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\n", "text/plain": "
" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ] } }, "a309bdef4af84d5cbb687be103918795": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "a7745f18c1b040c8993eea5fcde4c29f": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "c", "layout": "IPY_MODEL_e6bd68c59dff47e9b971815f06efd3db", "max": 2, "min": -2, "step": 0.1, "style": "IPY_MODEL_8069bbe2b6ae4b50b60042d4f1d67d24", "value": 1.5 } }, "a8bda0f5c2044c188ac0daed2af02efb": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "a9f1216b2fa641fab1ea0a95d45bbc44": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "aaed0ba483554d4a9d40a9b187ee18d3": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "c", "layout": "IPY_MODEL_70fa72c17794476d8e0d9ebcb10362bc", "max": 2, "min": -2, "step": 0.1, "style": "IPY_MODEL_3ccd26e1b71142d7a0be2fda7ba28100", "value": 1 } }, "ab1b74fed6514fcd85ac5d73026a5045": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "ab1f134d17574b52b2e2d293876b2d24": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "adc9e7d43fdd4cadb1f888c3c3f10089": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_00f0dd0f205e4d4b9cb43b684477089b", "outputs": [ { "data": { "image/png": "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\n", "text/plain": "
" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ] } }, "af98cee3d8e349848a0a6585dd7c2f18": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "S", "layout": "IPY_MODEL_9649f27a3d8147a69a2907091041d7dd", "max": 3, "min": -2, "step": 0.1, "style": "IPY_MODEL_7d5e19da4e934d79819dca8836bac3c0", "value": 0.5 } }, "b1626998f89d4cbb9e528f6aab5289e3": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "b190b9dcae7141548c69ae95776e7d99": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "b2b93ac11cec48369d020a6405231d8e": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "b59544868979425da3d036e8c966f3cb": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "I_x", "layout": "IPY_MODEL_a8bda0f5c2044c188ac0daed2af02efb", "max": 5, "min": -5, "step": 0.1, "style": "IPY_MODEL_84c7f509ea9b4cefb3a5799dd96b5c97" } }, "b75ddfd216b141b7bdf23b71ce97be9c": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "b895acc7b1694f0f95d9e5f6edf514b1": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "I_x", "layout": "IPY_MODEL_d61c83d57fa848d5993e4906f5c17f92", "max": 5, "min": -5, "step": 0.1, "style": "IPY_MODEL_5dbc012e56e74961bce74300894d8bcd", "value": 2.1 } }, "bda6670e0ffb463783b5300c6ccca281": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "bdd3c365bb9441a58331f4bcd6b5c342": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "c3a61bb5d11f4b19adb2d4e021b43fb2": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "c54690c3a9ec49a297aea87d3676f9ff": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "c64c5dd0deaa4fea9b9deff09ccc6582": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "ce7ce5fe53e04039ba91658956eeefa3": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "S", "layout": "IPY_MODEL_599cc7f561424335b4118fb195494f14", "max": 3, "min": -2, "step": 0.1, "style": "IPY_MODEL_4082686f438143219b3284a5b5822db5", "value": 2 } }, "d2bfe5059d26470f86c3ca7e595e0f2b": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "L_L", "layout": "IPY_MODEL_5e1bf45dbe2b4d41be5cd22cb37c53ce", "max": 0, "min": -5, "step": 0.1, "style": "IPY_MODEL_750e64c74d6c42769023488bf9c20548" } }, "d3748f06bf484df3b8bc6b57b2c9eb0f": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "d4a25415903443c9a3e17cf140340a94": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "d5597c241d6d495baf5a7dffd11c81bf": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "d61c83d57fa848d5993e4906f5c17f92": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "d690e198955d4353aea63df4daceb024": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "c", "layout": "IPY_MODEL_db015cc20d0443e984d11d6ecab25809", "max": 2, "min": -2, "step": 0.1, "style": "IPY_MODEL_ab1b74fed6514fcd85ac5d73026a5045", "value": 1 } }, "d7b2108dca76404287a6cfcec1729842": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "d817c26487c840eeb15ab7885627c28e": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "dab1c31cfd484f53a4dc2655fc099c6d": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "db015cc20d0443e984d11d6ecab25809": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "e6bd68c59dff47e9b971815f06efd3db": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "ebb800db294d4db78877513bb35d9da7": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "I_x", "layout": "IPY_MODEL_0df1a1e8bba44bc48c7a3a87acc96b8a", "max": 5, "min": -5, "step": 0.1, "style": "IPY_MODEL_ab1f134d17574b52b2e2d293876b2d24" } }, "edc9fbf0d3d0414dbb3cc44bc1aa6e89": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_76ad4dda3fd748498c7553a7351b8d3f", "outputs": [ { "data": { "image/png": "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\n", "text/plain": "
" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ] } }, "f126b9517af6476b8da448d2cb8aa35d": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "f23fb9a9bd5d4dad8a9eb4b9e0ff16cf": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "f333bd55624e4851a478cd09a6ea2d61": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "VBoxModel", "state": { "_dom_classes": [ "widget-interact" ], "children": [ "IPY_MODEL_7480d17e07c548cea08cdb642150c1ba", "IPY_MODEL_5671f9b565a04250bcbe7ca2581ee906", "IPY_MODEL_b59544868979425da3d036e8c966f3cb", "IPY_MODEL_fb7cd98bb02a4971b7cc16c71940ec51", "IPY_MODEL_aaed0ba483554d4a9d40a9b187ee18d3", "IPY_MODEL_9bb44ccc0a604dffbcc792cd97e33dec" ], "layout": "IPY_MODEL_77b7a06032764d15a1b8c7bfc8712c85" } }, "fb7cd98bb02a4971b7cc16c71940ec51": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "description": "S", "layout": "IPY_MODEL_a309bdef4af84d5cbb687be103918795", "max": 3, "min": -2, "step": 0.1, "style": "IPY_MODEL_4a44ee7fc4a54af0963b69e993e48df2", "value": 0.5 } }, "ff77751fd4a64cc4a2e927bee5ba968c": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } } }, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }