{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "[![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/stammler/dustpy/HEAD?labpath=examples%2Fexample_ice_lines.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Example: Ice Lines\n", "\n", "In the example we want to implement several ice lines into a `DustPy` simulation. \n", "Ice lines are locations in protoplanetary disks where the temperature drop below a value where a chemical species can freeze out.\n", "\n", "It has long been speculated that different chemical compositions of dust particles can influence their collisional behavior depending on the different surface forces these species have. This can to first order be implemented by changing the fragmentation velocity depending on the temperature in the disk.\n", "\n", "The example here will be similar to [Pinilla et al. (2017)](https://doi.org/10.3847/1538-4357/aa7edb):\n", "\n", "Above $150\\,\\mathrm{K}$ all volatiles are evaporated and only the bare silicate grains are left. He we use a fragmentation velocity of $1\\,\\mathrm{m/s}$. Below $150\\,\\mathrm{K}$ water freezes out onto the grain. Due to the dipolar nature of the water molecule these grains are more sticky and we use a fragmentation velocity of $10\\,\\mathrm{m/s}$. At about $80\\,\\mathrm{K}$ ammonia $\\left(\\mathrm{NH}_3\\right)$ freezes out which has slightly weaker dipolar forces than water and we therefore use a fragmentation velocity of $7\\,\\mathrm{m/s}$. At $44\\,\\mathrm{K}$ carbon dioxide $\\left(\\mathrm{CO}_2\\right)$ freezes out and we expect the fragmentation velocity to go back to $1\\,\\mathrm{m/s}$.\n", "\n", "However, note that [Musiolik & Wurm (2019)](https://doi.org/10.3847/1538-4357/ab0428) that these differences might not exist at all. We'll use them here anyway for demonstration purposes.\n", "\n", "The method described here can also be used to implement sintering effects as described by [Okuzumi et al. (2016)](https://doi.org/10.3847/0004-637X/821/2/82)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-11-30T11:29:10.799298Z", "iopub.status.busy": "2023-11-30T11:29:10.798560Z", "iopub.status.idle": "2023-11-30T11:29:11.908250Z", "shell.execute_reply": "2023-11-30T11:29:11.907208Z" } }, "outputs": [], "source": [ "from dustpy import Simulation\n", "import dustpy.constants as c" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-11-30T11:29:11.914812Z", "iopub.status.busy": "2023-11-30T11:29:11.914273Z", "iopub.status.idle": "2023-11-30T11:29:11.919714Z", "shell.execute_reply": "2023-11-30T11:29:11.919028Z" } }, "outputs": [], "source": [ "sim = Simulation()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-11-30T11:29:11.924453Z", "iopub.status.busy": "2023-11-30T11:29:11.924169Z", "iopub.status.idle": "2023-11-30T11:29:12.251397Z", "shell.execute_reply": "2023-11-30T11:29:12.250419Z" } }, "outputs": [], "source": [ "sim.initialize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this point the fragmentation velocity is constant with the default value of $1\\,\\mathrm{m/s}$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2023-11-30T11:29:12.268421Z", "iopub.status.busy": "2023-11-30T11:29:12.268025Z", "iopub.status.idle": "2023-11-30T11:29:12.721660Z", "shell.execute_reply": "2023-11-30T11:29:12.720434Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "fig = plt.figure(dpi=150)\n", "ax = fig.add_subplot(111)\n", "ax.semilogx(sim.grid.r/c.au, sim.dust.v.frag/100.)\n", "ax.set_xlim(sim.grid.r[0]/c.au, sim.grid.r[-1]/c.au)\n", "ax.set_xlabel(\"Distance from star [AU]\")\n", "ax.set_ylabel(\"Fragmentation velocity [m/s]\")\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now have to write a function that constructs the fragmentation velocity according the prescription above." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2023-11-30T11:29:12.788744Z", "iopub.status.busy": "2023-11-30T11:29:12.787867Z", "iopub.status.idle": "2023-11-30T11:29:12.797308Z", "shell.execute_reply": "2023-11-30T11:29:12.795615Z" } }, "outputs": [], "source": [ "import numpy as np\n", "\n", "def vfrag(sim):\n", " vfrag = np.where(sim.gas.T<150., 1000., 100.)\n", " vfrag = np.where(sim.gas.T<80., 700., vfrag)\n", " vfrag = np.where(sim.gas.T<44., 100., vfrag)\n", " return vfrag" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can assign the return value of this function to the fragmentation velocity." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2023-11-30T11:29:12.802245Z", "iopub.status.busy": "2023-11-30T11:29:12.801419Z", "iopub.status.idle": "2023-11-30T11:29:12.808495Z", "shell.execute_reply": "2023-11-30T11:29:12.806919Z" } }, "outputs": [], "source": [ "sim.dust.v.frag = vfrag(sim)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also update the whole simulation frame to update the fields that depend on the fragmentation velocity." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2023-11-30T11:29:12.813871Z", "iopub.status.busy": "2023-11-30T11:29:12.812888Z", "iopub.status.idle": "2023-11-30T11:29:12.983466Z", "shell.execute_reply": "2023-11-30T11:29:12.982101Z" } }, "outputs": [], "source": [ "sim.update()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fragmentation velocity now changes at the introduced ice lines." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2023-11-30T11:29:12.989861Z", "iopub.status.busy": "2023-11-30T11:29:12.989013Z", "iopub.status.idle": "2023-11-30T11:29:13.387021Z", "shell.execute_reply": "2023-11-30T11:29:13.385973Z" } }, "outputs": [ { "data": { "image/png": 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5c+dq8uTJiV4mIsR0YsSTpRLLdmIAAADHSJpKbCgU0s0336xwOKzJkydrxYoVeuuttzRv3jytXr1atWvX1htvvKH58+cneqmIQGGhIVMhlkosbJduGuyUx2AnAAAAx0iaELt+/Xrt2LFDJ5xwgq655hrLcyeddJKGDBki6eh2Yzhf+Jit30wnht0yTEfsHGI7MQAAgGMkzU/+aWlpEV1Xp06dOK8EdjD3w0pUYmE/SyWW7cQAAACOkTQhtkWLFmrZsqU2bNigN954w/LcunXr9Prrr6tWrVoaMGBAglaIyggVHluJJcTCXtaeWCqxAAAATpE0Idbv92vSpEmqWbOmfve736lz5866+uqr1atXL51yyilq0qSJPvroI9WuXTvRS0UEzGfESpKfI3ZgM8t0Yo7YAQAAcIykmk7ctWtXLVy4UAMGDNDKlSu1cuVKSVIwGFTv3r3VokWLiF6nXbt2pT6+ceNGtWzZ0rb1omzmycQSlVjYL51KLAAAgCMlTSVWkqZMmaLTTz9dTZs21dKlS3XgwAF98803uv766zVhwgT16tVL+fn5iV4mIkBPLOItg55YAAAAR0qaSuy3336r6667TvXr19fs2bOVmZkpSWrdurWef/55/fjjj5o9e7Zefvll/f73vy/3tdauXVvq42VVaGG/kj2xSfX7GFQBSyWWI3YAAAAcI2l+8n/zzTd15MgR9e3btzjAml155ZWSpEWLFlX10hCFYyuxFGJht4w0KrEAAABOlDQh9ocffpAkHXfccaU+X/T4nj17qmxNiJ65EutP8cnnI8XCXsf2xBrHnE0MAACAxEiaENugQQNJ0vLly0t9ftmyZZKkrKysqloSYhA2DXaiHxbxYK7EhgsN5YcKy7kaAAAAVSXqnthevXrZsgCfz6ePPvrIltcqz2WXXaa//e1vWrRokZ599llL3+tnn32mJ554QpI0aNCguK8FsTNXYplMjHgwV2Il6VBBWNUC/jKuBgAAQFWJOsQuWLDAlgVU1TbQTp06acyYMfrHP/6hm2++Wc8884zatm2rH3/8UUuWLFFhYaFGjhyp888/v0rWg9iEwtbtxIDd0oPWt8e8gpBqZQQTtBoAAAAUiWk68aBBgzR+/PioP3/MmDGaPn16LEuolPHjx+vss8/Wc889pxUrVmjDhg2qUaOGevTooREjRmjw4MFVthbEJkwlFnHmT/GpWiBFh48c3UbMWbEAAADOEFOIzczMVPPmzWP6/Ko2YMAADRgwoMrvC3tZBzslTWs3qlhGMFWHjxRIkvLymVAMAADgBFGH2FtvvVVnnHFGTDfv06ePatasGdNrIDlRiUVVqB70S3lH/0wlFgAAwBmiDrFFg5BiMXjwYLbwIiohphOjCmSY+mKpxAIAADgD+zDhSqYMq1Q/IRbxkZ5mPSsWAAAAiRdTT2yk1q1bp7Vr16pp06Yxb0EGJCqxqBqWSmwBlVgAAAAnsK0S+9Zbb6lXr15aunSp5fE77rhDJ598sq666iqdffbZGjBggMJhKhqIDT2xqArms2IP5vO+BQAA4AS2hdjXX39dq1atUseOHYsfW7x4sSZMmKAaNWro6quvVlZWlt59911NnjzZrtsiSTGdGFUhI+3XSizbiQEAAJzBtp/+v/rqK51yyikKBoPFj7322mvy+Xx6++23NXnyZC1btkyZmZn6z3/+Y9dtkaSoxKIqWCqxbCcGAABwBNtC7I4dO9S4cWPLY/Pnz1f9+vXVp08fSVLt2rXVvXt3fffdd3bdFknKWoklxCI+zJVYemIBAACcwbYQW716de3fv7/4423btumbb75Rjx49LNfVrFlTe/bsseu2SFJh02AnKrGIF3piAQAAnMe2ENuiRQt9/PHH2rt3ryRp8uTJ8vl8xVXYItu3b1f9+vXtui2SVChMJRbxZw6xVGIBAACcwbYQe/3112v//v3q3LmzLr/8co0dO1aZmZm67LLLiq85cuSIli9frjZt2th1WyQpS08s58QiTtKDDHYCAABwGtvOiR0xYoTmz5+vadOmafPmzcrIyNDzzz+vOnXqFF8ze/Zs7du3T7169bLrtkhSTCdGVchIM1Vi86nEAgAAOIFtITYQCGjq1KnKycnRzp07deKJJ6pGjRqWa377299qxowZOvPMM+26LZIU04lRFajEAgAAOE/UIXbSpEm6+OKLLZVWScrKylJWVlapn9OhQwd16NAh2lsCxZhOjKqQEWQ6MQAAgNNEvQ9z2LBhatCggc455xyNHz9e69ats3NdQLmYToyqkG7aTnyISiwAAIAjRB1iX3vtNV1++eVau3at7rrrLp188slq3bq1/vSnP2nBggUKh/mBD/FDJRZVwVKJ5YgdAAAAR4g6xP7ud7/Tm2++qZ07d2ru3Ln6wx/+oMLCQj3xxBM677zzVL9+fQ0ZMkRvvfWW5fxYwA7hMD2xiD/zETuHjoQtvdgAAABIjJjHuqampqpXr1568skntXHjRq1Zs0YPPfSQ2rRpozfffFPXXHON6tWrp/PPP19PPfWUNm3aZMe6keSYToyqkJFmHRtw6AjVWAAAgESz/af/du3a6e6779aSJUu0bds2vfjii+rXr5+WLl2qP/7xj2rdurVOPvlk3XPPPfr222/tvj2SBNOJURXMlVhJOsgxOwAAAAkX1xJWvXr1NHz4cM2YMUO7du3S7NmzNWLECO3bt0/jxo3TlClT4nl7eJilEusnxCI+0lJTZP4dSR7DnQAAABLOtnNiK5KWlqZ+/fqpX79+kqSVK1cy/AlRYzoxqoLP51NGMFW//F8FNo9KLAAAQMJVWYg9VqdOnRJ1a3iAuRKb4iPEIn7S0/zFIfYglVgAAICEszXE5ufn680339TChQu1bds25efnl3qdz+fTRx99ZOetkWToiUVVOXrMztH3srwCKrEAAACJZluIzc3N1fnnn6+NGzfKMMo/hsJH5QwxoicWVSU9zXTMDpVYAACAhLMtxN5yyy367rvv1KtXL916661q0aKFMjMz7Xp5wIJzYlFV0oO/vk3SEwsAAJB4toXYjz76SK1bt9acOXOUmpqwVlskCc6JRVXJMB2zQ08sAABA4tn2038wGFSnTp0IsKgSTCdGVUlPM1Vi6YkFAABIONtC7Nlnn63vvvvOrpcDymWtxBJiET/pAVMlNp9KLAAAQKLZFmIfeOABrVu3Ti+++KJdLwmUienEqCoZVGIBAAAcxba9v506ddIHH3ygIUOG6PXXX1efPn3UuHFjpZTRrzh06FC7bo0kRCUWVSU9SCUWAADASWxtYP3www+1Y8cO5eTk6JNPPin1GsMw5PP5CLGISSGVWFQRKrEAAADOYluIHT9+vB544AGlpaVpwIABHLGDuLKeE8t0YsRPOtOJAQAAHMW2EPvss8/qN7/5jZYuXaoTTjjBrpcFSkVPLKpKhumc2INUYgEAABLOthLW9u3b1aNHDwIsqkTIdMQOPbGIp/Q0KrEAAABOYluIbdmypQpNwQKIJyqxqCrmSmxePpVYAACARLMtxI4aNUrz589XTk6OXS8JlInpxKgq9MQCAAA4i20hdvTo0Ro5cqS6deumiRMnauvWrXa9NFCCtRLLYCfETzqVWAAAAEexbbCT33+0WmEYhm644YZyr/X5fAqF+GEQ0QuFqcSiahzbE1t0TBgAAAASw7YQ27RpU36wQ5WhJxZVxdwTGyo0VBAuVFqqv5zPAAAAQDzZFmLphUVVskwn9hNiET/mSqwkHcwPE2IBAAASiGZCuBKVWFSV9IA1sOZxViwAAEBCEWLhSkwnRlVJ9acoLfXXt8pDTCgGAABIqKhD7MqVK5WbmxvTzXNzc7Vy5cqYXgPJienEqEoZaaYJxYRYAACAhIr6p//TTjtNDzzwQEw3v++++9SlS5eYXgPJiUosqpLlrFiO2QEAAEiomEpYhmFUfBEQB/TEoiqZJxRTiQUAAEismKYTz5kzR7169Yr689evXx/L7ZHEQmHTdGJCLOKsurkSy2AnAACAhIopxG7fvl3bt2+PaQGcLYtoWCqxHLGDOMswHbOTl08lFgAAIJGiDrGbN2+2cx1ApYTYTowqlG7aTkwlFgAAILGiDrHNmze3cx1ApYQtg52YToz4yghSiQUAAHAKfvqH6xiGYZ1OzJZ0xFl6GpVYAAAAp4ipJxZIhMJjhmL76YlFnJkrsXsOFmhPXkECVwM3qx70q1rAX/GFAACgTIRYuE6osNDyMT2xiDdzT+zby3/Q28t/SOBq4GYZQb/uv7SdrjitaaKXAgCAa7GdGK4TPqYUyxE7iLe6mcFELwEekVcQ1vOLNiV6GQAAuBohFq4TOibEUolFvF1yaiO1bfibRC8DHrH/0JFELwEAAFdjOzFcJxymEouqVTM9qPduOUd5BUwmRnTWbt2nq174TJJ0JFxYwdUAAKA8hFi4TslKLBsKEH8+n0+ZabxlIjq/qR4o/vORY34RBwAAKse2n/6HDRumzz77zK6XA8pETywAtwn4f/3fbQGVWAAAYmJbiJ00aZK6du2q9u3b66mnntKePXvsemnAgunEANwmaAqxbCcGACA2toXY119/Xd27d9fatWt12223qXHjxrr22mu1aNEiu24BSJLMGdbnk1IIsQAcLpD66/uUYZTcUQIAACJnW4i95pprNH/+fH377be64447dNxxx2ny5Mk699xzddJJJ2nChAnatWuXXbdDEjNXYqnCAnAD83ZiiWosAACxsH0iTsuWLTVu3Dh9//33ys7O1gUXXFAcbJs0aaKrr75aH330kd23RRIxVzDohwXgBseGWPpiAQCIXtzGuqampmrgwIF6//33tXnzZo0ePVoFBQWaOnWq+vTpo1atWumJJ57QwYMH47UEeJR5OjGTiQG4QfDYSmyIEAsAQLTingDmzZunO++8U//5z38kSdWrV1fXrl21ZcsWjRkzRm3bttVXX30V72XAQ6jEAnCbgN/6XsUxOwAARC8uIfann37SuHHj1Lp1a/Xu3VtvvfWWWrVqpaeeeko//vijFi1apM2bN2vUqFHKzc3VLbfcEo9lwKOslVhCLADn86f45DO9XdETCwBA9FLteiHDMDRnzhy9+OKLeu+993TkyBGlpaVp8ODBGjVqlM455xzL9U2aNNEzzzyjDRs2cL4sKiVsGuxEJRaAG/h8PgX8KSr4v23E9MQCABA920JsVlaWfvjhBxmGoVatWmnkyJEaNmyY6tSpU+HnzZ8/365lIAmEwlRiAbhP0BRiqcQCABA920Lsjz/+qAEDBmjUqFE6//zzI/68O++8U9dee61dy0ASsPTE+gmxANwh1fR+dSRETywAANGyLcR+//33atCgQaU/r02bNmrTpo1dy0ASYDoxADcyH7PDdmIAAKJnWwK455579PLLL1d43cSJEzV8+HC7boskxHRiAG5kPmaH7cQAAETPthA7ceJEffLJJxVe9+mnn2rSpEl23RZJiOnEANzIfMwOIRYAgOhV+V7MgoIC+f3+qr4tPITpxADcKEAlFgAAW1RpiDUMQytXrlS9evWq8rbwGCqxANzI0hPLYCcAAKIW02CnXr16WT6eM2dOiceKhEIhbdy4Udu3b2caMWJCTywANwqkUokFAMAOMYXYBQsWFP/Z5/Np+/bt2r59e5nXBwIBXXzxxfrHP/4Ry22R5KznxDKdGIA7BOmJBQDAFjGF2M2bN0s6uk24RYsWGjRokMaPH1/qtcFgUHXr1lUgEIjllgCVWACuRE8sAAD2iCnENm/evPjP9913nzp27Gh5DIgHS0+snxALwB2s58TSEwsAQLRiCrFm9913n10vBZSL6cQA3MhSiQ1RiQUAIFo0FMJ1zJVYv48QC8Adgqm/vl+FCgmxAABEK+oQm5KSotTUVH3zzTeSJL/fH/E/qam2FYCRhOiJBeBG1p5YthMDABCtqNNks2bN5PP5igc1NW3aVD6qYqgC9MQCcCPrObFUYgEAiFbUITYnJ6fcj4F4sVZi2REPwB2YTgwAgD1IAHAd6zmxVGIBuAPnxAIAYA9CLFyH6cQA3IieWAAA7GFbiJ0+fbo6deqkjz76qMxr5s6dq06dOumdd96x67ZIQpaeWEIsAJcIpJrPiaUSCwBAtGwLsa+88oq2bNmic845p8xrunXrppycHL388st23RZJiOnEANwoYHq/4pxYAACiZ1uI/fLLL3XqqacqLS2tzGvS0tLUoUMHrVq1yq7bIglRiQXgRgx2AgDAHraF2B07dqhRo0YVXtewYUPt2LHDrtsiCTGdGIAbmbcT0xMLAED0bEsANWvWVG5uboXXff/998rMzLTrtkhCYc6JBeBClnNiqcQCABA120Ls6aefriVLlmjNmjVlXrNmzRotWbJEXbp0seu2SEIhemIBuBBH7AAAYA/bQuzNN9+scDisiy66SNnZ2SWez87O1kUXXaTCwkLdfPPNdt0WSch8xA49sQDcgp5YAADskWrXC/Xt21e33XabnnjiCV111VWqWbOmWrRoIUnatGmT9u7dK8MwdMstt+jiiy+267ZIQlRiAbiRJcSG6IkFACBatk7FmTBhgl599VWdcMIJ2rNnj1asWKEVK1Zoz549OvHEEzVp0iT985//tPOWSEJhphMDcCHOiQUAwB62VWKLDBkyREOGDNG2bdv0/fffS5KaNm2qhg0b2n0rJKkQ04kBuBA9sQAA2MP2EFukYcOGBFfERThMJRaA+9ATCwCAPeISYrdu3apPP/1UW7dulSQ1btxYXbt2VePGjeNxOyQZemIBuJE1xNITCwBAtGwNsTt37tTo0aM1Y8YMFRZaf8vs8/l0+eWX61//+pfq1atn522RZCzTiTknFoBLUIkFAMAetoXYffv2qXv37tqwYYOqV6+uPn36KCsrSz6fTzk5Ofrf//6nqVOnavXq1frss8903HHH2XVrJBkqsQDcKJhKTywAAHawLcSOGzdOGzZs0BVXXFFqtXXXrl36wx/+oLfffluPPvqo/v73v9t1ayQZphMDcCO2EwMAYA/bRrvOmDFDTZs21euvv17qduG6devqtddeU9OmTTVt2jS7boskxHRiAG5kPSeWSiwAANGyLQFs2bJFXbt2VSAQKPOaQCCgrl27Kjc3167bIglRiQXgRuYQyzmxAABEz7YQW716de3atavC63bt2qXq1avbdVskIXpiAbhRkMFOAADYwrYQ27lzZy1cuFDLly8v85oVK1ZowYIFOu200+y6LZKQZToxIRaAS5inqRca1l0lAAAgcraF2Ntuu01HjhzReeedp3vvvVfr1q3ToUOHdOjQIa1fv1733Xefzj//fIXDYd1222123RZJKBSmEgvAfczbiSWqsQAARMu26cT9+vXTww8/rHvvvVd///vfS50+7PP59NBDD+nCCy+067ZIQpaeWM6JBeASwWNCbEG4UNUC/gStBgAA97J1tOvdd9+tzz77TEOGDFFWVpaCwaCCwaCysrJ07bXXasmSJbr77rvtvCWSUJjpxABcKJBq/aUbE4oBAIiObZXYIqeddpomTZpk98sCxSyDnXxUYgG4Q8ntxPTEAgAQjaQsY+3cuVNjxozRCSecoOrVq6t27drq1KmT7rjjjkQvDREIM50YgAsdO4iOnlgAAKKTdCF2xYoVOumkkzRhwgQFAgFddtllOvPMM7V792498cQTiV4eIhAyTyemJxaAS/h8PktfLGfFAgAQnai3E7do0SLqm/p8Pm3cuDHqz4/Wzp071bdvXx06dEjvvPOOLr30Usvzn3/+eZWvCZVHJRaAWwX8PhWEj/6ZSiwAANGJOsTm5OTYuIyqcd9992nXrl165plnSgRYSTr99NMTsCpUlrknlnNiAbhJIDVFRSn2SIieWAAAohF1iC0sdNdvkA8dOqTXX39dGRkZGjZsWKKXgxiEOScWgEsF2E4MAEDMbJ9O7FTLly/XL7/8onPOOUfVq1fXf//7X3344Yc6fPiw2rRpoyuvvFKNGjVK9DIRAWslNunaugG4mLknlu3EAABEJ2lC7Ndffy1Jql+/vvr376933nnH8vw999yjl156SYMHD07E8lAJ9MQCcKuAaRgdIRYAgOjYXsb6+uuvddttt6lr16464YQTdOeddxY/t3jxYj311FPavXu33bet0J49eyRJ7777rubMmaNnnnlGO3bsUE5OjsaMGaNDhw7puuuu06pVqyp8rXbt2pX6TyKGVSUjy3RiQiwAFwlQiQUAIGa2VmIff/xx/fnPf1YoFJJ0dArxrl27LNfcdtttSktL00033WTnrStU1MMbCoX08MMP6+abby5+bvz48dqyZYumTp2q8ePHa/LkyVW6NkTOMAyZCrFUYgG4ijXEMtgJAIBo2FaJfe+99zRmzBg1bdpU06dP144dO2QY1v9Bn3322apXr16JrbxVITMzs/jPpQ12Knps4cKFFb7W2rVrS/2nZcuW9i0YpTJvJZY4JxaAuwRSqcQCABAr2yqxjz/+uDIyMvThhx+We4Zshw4dtGHDBrtuG7HmzZtLktLT01WvXr0Sz2dlZUmSduzYUZXLQiWFjgmxVGIBuEmQnlgAAGJmWyV2xYoVOvPMM8sNsJJUt25dbd++3a7bRqxjx46Sjh61k5+fX+L5oj5dc8UWzlOiEst0YgAuYtlOzDmxAABExbYEUFBQoBo1alR43Y4dO5SaWvVDkZs1a6ZTTz1VhmGUumW46LGisAtnohILwM04JxYAgNjZFmJ/+9vf6ssvvyz3moKCAq1evVpt2rSx67aVUjQpecyYMdq2bVvx46tWrdKECRMkSaNGjUrI2hCZkpVYQiwA9+CIHQAAYmdbiL300kuVk5Ojxx9/vMxrHnvsMe3cuVMDBw6067aVcs011+i6667TmjVr1LZtW1100UXq1auXzjzzTO3evVsjRozQFVdckZC1ITLm43UkKrEA3IUjdgAAiJ1t+3rvvPNOTZ48WXfccYeWLl2qAQMGSJJ++uknzZgxQzNmzNDkyZP129/+Vn/4wx/sum2lvfLKK+ratauef/55LViwQD6fT506ddJNN92k6667LmHrQmSoxAJwM47YAQAgdraF2Fq1amnu3LkaNGiQpk6dquzsbEnSnDlzNGfOHBmGobZt22rmzJkR9c7Gi8/n04gRIzRixIiErQHRC4XpiQXgXpae2BCVWAAAomHrhKU2bdpo1apVmjVrlj744APl5OSosLBQTZo0Ue/evXX55ZfL7/fbeUskGXMl1p/ik89HiAXgHsFUemIBAIiV7WOCU1JSdNlll+myyy6z+6UBy3RiqrAA3IaeWAAAYmfbYKfZs2crHA7b9XJAqcyVWPphAbgNPbEAAMTO1unEjRo10h/+8ActXrzYrpcFLMzTianEAnAbzokFACB2toXYAQMGaP/+/fr3v/+tbt26qWXLlvrrX/+q9evX23ULgEosAFcLms+JZbATAABRsS3ETps2TT/99JNefPFF9ejRQ1u2bNFDDz2kdu3aqUuXLvrnP/+p7du323U7JClrT6xt374AUCXoiQUAIHa2poDf/OY3uuGGGzRv3jzl5ubqscce0ymnnKIVK1bo9ttvV9OmTdWnTx+9+uqrdt4WSYRKLAA3C6TSEwsAQKziVspq1KiRxowZoy+++EJr167VPffco2bNmmnu3LkaPnx4vG4LjzOfE0tPLAC3oScWAIDYVcl+zObNm6tt27Y64YQTJEmGwW+fER1LJdZPiAXgLpaeWEIsAABRsf2c2CLhcFhz5szRG2+8oXfffVcHDx6UYRhq3ry5rrnmmnjdFh7HdGIAbkZPLAAAsbM9xH766aeaPHmysrOz9fPPP8swDNWuXVtDhgzRkCFD1LVrV7tviSRirsT6fYRYAO7CObEAAMTOthB79913680331Rubq4Mw1C1atU0aNAgDRkyRBdeeKFSU+NW9EUSsU4nJsQCcBfrYCcqsQAARMO2ZPnoo48qJSVFvXr10pAhQzRw4EDVqFHDrpcHJNETC8Dd6IkFACB2toXYCRMm6Oqrr1bDhg3tekmgBM6JBeBmlu3EIbYTAwAQDdtC7G233WbXSwFlCpsGO3FOLAC3SWWwEwAAMaOUBVfhnFgAbhYwbSfmnFgAAKJDiIWrWHpiCbEAXCZIJRYAgJgRYuEqTCcG4GYcsQMAQOwIsXAVKrEA3Mw62IlKLAAA0SDEwlXCTCcG4GLBVHpiAQCIFSkArkIlFoCbBeiJBQAgZoRYuIqlJ9ZPiAXgLuYQW2hYfzEHAAAiY9s5sUUOHjyo5cuXa9u2bcrPzy/zuqFDh9p9ayQBzokF4GbmECsdrcb6U/wJWg0AAO5ka4j961//qieeeEIHDx4s8xrDMOTz+QixiArTiQG4WfCYEFsQLlS1ACEWAIDKsC3EPvbYY3rooYfk9/t10UUXqU2bNqpRo4ZdLw9IoicWgLsFUq3vW0woBgCg8mwLsS+++KKqV6+ujz/+WJ06dbLrZQGLENOJAbhYye3E9MQCAFBZtqWA77//Xj169CDAIq6oxAJws2Pft5hQDABA5dkWYhs0aKCMjAy7Xg4oVShMTywA9/L5fJa+WM6KBQCg8mwLsVdffbUWLFigvLw8u14SKIHpxADcLmA6HizEdmIAACrNthB7//3366STTtKll16q7777zq6XBSw4JxaA2wVSf/1fL9uJAQCoPNsGO/Xr10+FhYVasGCBTjrpJDVv3lxNmjRRSinDd3w+nz766CO7bo0kQk8sALcLsJ0YAICY2BZiFyxYUPzncDisTZs2adOmTaVe6/MRPhAdphMDcLuA6RdwHLEDAEDl2RZiN2/ebNdLAWWiEgvA7azbiemJBQCgsmwLsc2bN7frpYAyWSuxhFgA7mPeTkxPLAAAlcd+TLgK04kBuB09sQAAxMa2SmyRn376SS+//LI+/vhjbd26VZLUuHFjde/eXcOGDdPxxx9v9y2RRDgnFoDbBU2T1anEAgBQebaG2GnTpmn48OE6cOCADOPXsLFmzRr973//07hx4/TSSy/p8ssvt/O2SCL0xAJwO7YTAwAQG9u2Ey9fvlyDBw9WXl6eBgwYoBkzZuiLL77QqlWrNHPmTA0cOFAHDhzQNddco+XLl9t1WyQZemIBuJ0lxIYY7AQAQGXZVol95JFHFA6HlZ2drQEDBlieO+WUU3TppZdqxowZuvzyyzVu3DhlZ2fbdWskkTBH7ABwOfN0YnpiAQCoPNtSwCeffKKzzz67RIA1GzBggLp27aqPP/7YrtsiyYQY7ATA5eiJBQAgNraF2H379qlZs2YVXtesWTPt27fPrtsiyYTZTgzA5eiJBQAgNraF2AYNGuiLL76o8LpVq1apQYMGdt0WScbcE5vqJ8QCcB9riKUnFgCAyrItxF5wwQXasGGD7rnnHoXD4RLPG4ahsWPHav369erbt69dt0WSoRILwO0s58SGqMQCAFBZtg12uvfeezV9+nQ9+uijmjJliq688kplZWVJkrZs2aKpU6cqJydHderU0dixY+26LZKM+ZxYemIBuFEwlZ5YAABiYVuIbdKkiebNm6ff/e53+uqrrzR+/Hj5fEf/R110Zmz79u01efJkNWnSxK7bIskwnRiA29ETCwBAbGwLsdLRkLp69WotWLBAH3/8sX788UdJUqNGjdStWzf17NnTztshCTGdGIDb0RMLAEBsbA2xRXr27ElgRVyYCrH0xAJwJUtPLJVYAAAqjf2YcBUqsQDcznxObIgQCwBApUVdiV20aJEk6fTTT1e1atWKP45U9+7do701klg4zHRiAO7GdmIAAGITdYjt2bOnfD6f1q1bpzZt2hR/HKnSjuEBKsI5sQDcLpXtxAAAxCTqEDt06FD5fD4dd9xxlo+BeGI6MQC3C5h+AXeEc2IBAKi0qEPsxIkTy/0YiAdLJZbtxABcKJjKETsAAMSCUhZcxVqJJcQCcB96YgEAiI1tIbZFixa66667Krzu7rvvVsuWLe26LZIM04kBuB1H7AAAEBvbQmxOTo527txZ4XW7du1STk6OXbdFkqESC8DtLD2xhFgAACqtyrcT5+XlKRAIVPVt4RHWnlh2wwNwn6CfnlgAAGIR9WCnyiosLNSGDRs0f/58NWvWrKpuCw8pLDRkmNrH/ByxA8CFLD2xIXpiAQCorJhKWX6/v/gfSZo0aZLlMfM/gUBAJ598sn766ScNHjzYlsUjuZirsBI9sQDcKcB0YgAAYhJTJbZp06bFZ8Pm5uYqPT1ddevWLfXaYDCoRo0a6dJLL9Utt9wSy22RpMLHhFh6YgG4kbknlsFOAABUXkwh1jygKSUlRVdccYVefvnlWNcElMo8mViiEgvAneiJBQAgNrb1xM6fP18NGjSw6+WAEqjEAvACzokFACA2toXYHj162PVSQKlK9sQynRiA+1gHO1GJBQCgsuIynXjt2rX69ttv9csvv8gwSv8t89ChQ+Nxa3gYlVgAXhBMpScWAIBY2Bpi586dq5tvvlkbN24s8xrDMOTz+QixqDSmEwPwggA9sQAAxMS2ELt8+XJddNFF8vl8uuaaa7RmzRqtWbNGf/7zn7Vx40bNnTtXe/bs0bBhwzgnFlEJm3rHfD4phRALwIXMIbbQOLrLhJ0lAABEzrYQ+8gjjygUCmnOnDnq3bu3hg0bpjVr1ujhhx+WJO3du1c33XSTZs+ereXLl9t1WyQR83Riv48f+AC4kznESkersf4Uf4JWAwCA+9g2GWfx4sXq2LGjevfuXerzNWvW1KuvvqqUlBSNHTvWrtsiiZh7YqlaAHCrYCkhFgAARM62ELt79261bt26+ONgMChJysvLK34sLS1N3bp104cffmjXbZFEzD2x9MMCcKtUv/X9i2N2AACoHNtCbL169bR//37Lx5K0adMmy3WHDh3Svn377LotkgiVWABeUNp2YgAAEDnbQmyrVq20efPm4o9PP/10GYah559/vvix7777TvPmzVOLFi3sui2SiKUS6+eMWADuFDimElvAWbEAAFSKbUmgX79+2rBhg9atWydJ6tu3r5o3b65nn31WZ5xxhi6//HJ16dJFhw8f1g033GDXbZFEwubBTlRiAbiUz+ezBFkqsQAAVI5t04mHDh2q4447ToX/FzSCwaDeffddXXnllVq2bJmWLVumlJQU3Xjjjbr11lvtui2SSChMTywAbwj4U3QkHJZETywAAJVlW4ht0KCBbrrpJstj7du317p167R+/Xrt2bNHrVq1Ku6VBSqLnlgAXnG0L7YoxFKJBQCgMmwLseU58cQTq+I28DimEwPwCvNwpwJCLAAAlWJbT6zf74+o13XEiBFKTa2S7AyPCRtUYgF4Q9DcE8tgJwAAKsW2EGsYhgwjsr6eSK8DzMKWnlimEwNwr0Dqr+9h9MQCAFA5VZ4E9u3bp7S0tKq+LTwgRE8sAI8wbyemJxYAgMqJaV9vbm6u5eMDBw6UeKxIKBTShg0b9MEHH6hly5ax3BZJKmw5J5YQC8C96IkFACB6MYXYrKws+Xy/holp06Zp2rRp5X6OYRgaMWJELLdFkgpxTiwAjwhyTiwAAFGLKcR27969OMQuXLhQ9evXL3MScTAYVKNGjXTppZdqwIABsdwWSSrMdGIAHsF2YgAAohdTiF2wYEHxn1NSUnThhRfq5ZdfjnVNQKnoiQXgFZYQG2KwEwAAlWHbWTebN29WZmamXS8HlGCtxDKdGIB7macT0xMLAEDl2BZimzdvbtdLAaWiEgvAK+iJBQAgeraF2CILFizQokWLtG3bNuXn55d6jc/n00svvWT3reFxYdMPevTEAnAzemIBAIiebSF23759uuyyy/Txxx/LMMrv7yHEIhpUYgF4RaolxNITCwBAZdgWYu+66y4tWrRIrVq10qhRo9SmTRvVqFHDrpcHOCcWgGcE2E4MAEDUbAux77zzjo4//nh99tlnql27tl0vCxSzVmIZ7ATAvYJsJwYAIGq2JYF9+/apa9euBFjEDefEAvCKANuJAQCImm0htnXr1srLy7Pr5YAS6IkF4BXmEFsQohILAEBl2BZi/9//+39asGCBvvvuO7teErAIFzKdGIA3BFLpiQUAIFq2hdgbb7xRt9xyi3r06KFXXnlFP/zwg10vDUiiEgvAO+iJBQAgerYNdvL7/ZIkwzB04403lnutz+dTKBSy69ZIEuEwPbEAvIGeWAAAomdbiG3atKl8PoIF4ofpxAC8wtITSyUWAIBKsS3E5uTk2PVSQKnClhCbwIUAQIws58Qy2AkAgEohCsA1qMQC8IpgKj2xAABEK25JID8/X9u2bdPu3bvjdQskGaYTA/AKemIBAIie7SH2hRdeUMeOHZWRkaEmTZpozJgxxc9Nnz5dAwcO5BgeRIXpxAC8gp5YAACiZ1uIDYfDGjBggH7/+99r3bp1Oumkk2QY1t8un3rqqZo5c6beeustu26LJGLuiaUSC8DNLD2xhFgAACrFthD7r3/9S++8844uvPBCbdmyRWvWrClxTcuWLdWqVSv997//teu2SCKWSqyfEAvAvTgnFgCA6NkWYidOnKjjjz9eb731lo4//vgyr2vbtq22bNli122RRDgnFoBXWHpiQ/TEAgBQGbaF2A0bNuiMM85QRkZGuddlZGRo586ddt0WSYTpxAC8IsB0YgAAomZbEggEAjp8+HCF1+Xm5qpGjRp23RZJhOnEALzC3BPLYCcAACrHthDbrl07rVixQr/88kuZ1+zYsUOrVq1Shw4d7Lotkoj5FAqmEwNwswA9sQAARM22EHvttdfq559/1qhRo1RQUFDi+XA4rNGjR+vgwYO67rrr7LotkgiVWABeYQ6xIc6JBQCgUlLteqGRI0dq6tSpmjJlihYvXqwLLrhAkvTll1/q1ltv1ezZs7V582b16dNHv/vd7+y6LZKI+Qc9KrEA3IztxAAARM+2Sqzf79f777+v3//+9/rxxx/1wgsvSJK++OILPf3008rNzdWIESM0c+ZM+XzOCCA///yz6tevL5/Pp1atWiV6OaiA5ZxYjtgB4GIcsQMAQPRsq8RKUrVq1fTMM8/o/vvv14IFC5STk6PCwkI1adJE5557rho1amTn7WL2pz/9Sbt27Ur0MhAhphMD8AprTyzbiQEAqAxbQ2yRevXq6YorrojHS9vmo48+0qRJkzRy5MjiqjGczVKJZTsxABczH7ETLjQULjRokwAAIEJJWc46dOiQbrrpJrVt21ZjxoxJ9HIQIWsllh/2ALhX4JiWCLYUAwAQOdsrsQsXLtTChQu1bds25efnl3qNz+fTSy+9ZPetI/bAAw9o06ZNWrhwoQKBQMLWgcphOjEArzD3xEpHQ2y1gD9BqwEAwF1sC7G7d+/WgAED9Mknn8gwyu/vSWSIXb16tSZMmKBhw4apW7duysnJScg6UHlUYgF4RaBEiKUvFgCASNkWYm+77TZ9/PHHateunUaOHKkWLVooMzPTrpe3RWFhoW688UbVrFlTjz32WKKXg0qy9sQm5U54AB5RMsSynRgAgEjZFmJnzZqlJk2aaMmSJY4Lr0WefvppLVu2TK+88orq1KkT9eu0a9eu1Mc3btyoli1bRv26KB/nxALwimN7YgtChFgAACJlWzkrHA7rrLPOcmyAzc3N1dixY9WjRw9df/31iV4OosA5sQC8wufzWYIslVgAACJnWyW2c+fO2r59u10vZ7vRo0eroKBAzz33XMyvtXbt2lIfL6tCC3vQEwvASwL+FB0JhyXREwsAQGXYFmLHjh2rvn37as6cOerbt69dL2ub2bNnq2bNmho1apTl8cOHD0uStm7dqp49e0qS3nzzTTVo0KCql4gKMJ0YgJcc7YstCrFUYgEAiJRtIbZXr1564403NHToUPXr10+9e/dW48aNlVLGAJ7u3bvbdeuI7d27VwsXLiz1ucOHDxc/VxRs4SxUYgF4iXm4UwEhFgCAiNl6TuyBAwcUCAT02muv6bXXXiv32vD/baGqKmUd+5OTk6Pf/va3atmypb777rsqXRMqh+nEALwkaO6JZbATAAARsy3ETpw4UTfccIMMw1DHjh0decQO3I1KLAAvCaT++ss4emIBAIicbSH2scceU1pamt5///3i3lLATtZKLCEWgLuZtxPTEwsAQORs25OZk5OjHj16EGARF4ZhWEIslVgAbmf+ZRw9sQAARM62Smzjxo2Vnp5u18tVmaysrDL7ZeEc5gArEWIBuF/QtJ04xHZiAAAiZlsldujQoZo/f752795t10sCxULHhFi2EwNwO7YTAwAQHdtC7D333KNzzz1X5557rhYsWEB1E7aiEgvAawJ+thMDABAN27YTt27dWpK0ZcsWnXfeeQoEAmrQoEGp58T6fD5t3LjRrlsjCZSsxHLEDgB3oxILAEB0bAuxOTk5lo8LCgqUm5tr18sjyZWoxPqpxAJwt6A5xHJOLAAAEbMtxBYW8j9gxE/omO8vemIBuJ21EksLDgAAkWJPJlyBnlgAXhMwTSemJxYAgMgRYuEKxx4/4fcRYgG4m3mwEz2xAABEzrbtxIsWLYroumAwqDp16qhVq1byEUQQIXMlNsUnpVCJBeByQQY7AQAQFdtCbM+ePSsVSjMzMzV48GA9/PDDqlOnjl3LgEeFTUc2MZkYgBfQEwsAQHRsC7FDhw7V3r179e677yolJUUdOnRQs2bNJEnff/+9vvjiCxmGoYsvvliHDh3SqlWr9MILL2jevHlaunSpatWqZddS4EHmSiz9sAC8wBxiC5hODABAxGwraY0fP16rV6/WBRdcoHXr1mn58uWaPn26pk+frmXLlmn9+vW64IILtGbNGr3++uvavHmzrr76am3cuFHjx4+3axnwKHNPLJOJAXhBIJWeWAAAomFbiL377ruVn5+vGTNmqHXr1iWeb9WqlaZNm6b8/HzdfffdysjI0HPPPadatWrp3XfftWsZ8ChLJZYzYgF4AD2xAABEx7YQ+95776l79+6qVq1amddUr15d3bp10/vvvy9J+s1vfqOOHTtq8+bNdi0DHmU+J5ZKLAAvoCcWAIDo2BZi9+3bp3379lV43f79+y3X1a1b164lwMPoiQXgNZaeWCqxAABEzLYQ27p1a82fP1/r1q0r85p169Zp/vz5atOmTfFj27ZtI8iiQqFCphMD8BbLObEMdgIAIGK2pYHRo0crPz9f3bt31yOPPKJvv/1Whw8f1uHDh/Xtt99q3Lhx6tGjhwoKCjR69GhJ0qFDh7RixQp17tzZrmXAo6jEAvCaAD2xAABExbYjdkaOHKl169bpySef1NixYzV27NgS1xiGoT/+8Y8aMWKEJGnLli0aMmSILr/8cruWAY+yVmIJsQDcj55YAACiY1uIlaQnnnhCgwYN0rPPPqvFixdr27ZtkqSGDRuqa9euuummm3TOOecUX3/iiSfq2WeftXMJ8KiwabATlVgAXmDeTkxPLAAAkbM1xEpS165d1bVrV7tfFknOfE4sIRaAFwRTf63EhgixAABEjAk5cAVzT2wq58QC8AC2EwMAEB1CLFwhZBnsxLctAPdjsBMAANGxNQ0cPHhQDz30kLp06aKaNWvK7/eX+k9qqu27mOFxYQY7AfAYemIBAIiObWly37596tatm9auXSu/369gMCjDMNSwYUNt375dhnE0hDRv3tyuWyKJhDhiB4DHBKnEAgAQFdsqsePGjdNXX32lkSNHav/+/Ro0aJB8Pp+2bt2qvLw8TZw4UQ0aNNAZZ5yhTZs22XVbJAnzdGIqsQC8IGAa7HQkRE8sAACRsi3Ezpw5U40aNdJTTz2latWqyef7NWhUq1ZNQ4cO1dy5czVjxgxNmDDBrtsiSVCJBeA19MQCABAd20Lsli1b1KlTJwUCgaMv/H/Dd44cOVJ8Tdu2bdWjRw9NnDjRrtsiSdATC8Br6IkFACA6toXYatWqqVq1asUf/+Y3v5Ekbd++3XJd7dq1tXnzZrtuiyRhPSeW6cQA3I+eWAAAomNbGmjatKm+//774o9PPPFESdLChQuLHwuFQlq2bJnq1Klj122RJMKW7cQJXAgA2IRzYgEAiI5tcaBbt25avXq1fvnlF0nSJZdcotTUVN1yyy167rnnNGvWLA0aNEg5OTnq0aOHXbdFkghZthOTYgG4n3mwU7jQsPyyDgAAlM22NHD11VfrlFNO0eLFiyVJjRo10iOPPKK9e/dq9OjR6t+/v959910df/zxevTRR+26LZKEeToxg50AeIG5J1ZiSzEAAJGy7ZzYc845R0uWLLE8dvvtt6tr166aMWOG9uzZozZt2mjYsGGqXbu2XbdFkggx2AmAxwSP6Y04Ei5UtYA/QasBAMA9bAux+/fvl8/nU40aNSyPn3HGGTrjjDPsug2SVJgjdgB4TKBEiGU7MQAAkbBtO3HNmjXVp08fu14OsLBUYv2EWADuVzLEsp0YAIBI2BZijzvuOLVo0cKulwMsqMQC8Jpje2ILQoRYAAAiYVuI7dixozZu3GjXywEW5nNimU4MwAt8Pp+lx59KLAAAkbEtDdx1111atmyZsrOz7XpJoBjTiQF4EWfFAgBQebYNdqpevbpuvPFGXXXVVbr44ot1ySWXqFmzZqpWrVqp13fv3t2uWyMJhA2mEwPwnoDfp0NHjv6ZSiwAAJGxLcT27NlTPp9PhmFo1qxZmj17drnXh8Nhu26NJEBPLAAvCqaaK7GEWAAAImFbiB06dKh8PsIF4sPaE8v3GQBvYDsxAACVZ1uInThxol0vBZRgrcQy2AmAN1hDLJVYAAAiEXUa6NWrlx577LFSn8vNzdXu3bujXhRwLM6JBeBF5mN2CgixAABEJOoQu2DBAq1fv77U537729/qjjvuiHpRwLHoiQXgRZZKLOfEAgAQkbjsyzQMQ4ZBbw/sEzIdsUNPLACvsA524v+bAABEguZCuAKVWABeRE8sAACVR4iFK1h6YgmxADyCnlgAACqPEAtXYDoxAC+iEgsAQOWRBuAKnBMLwIuCDHYCAKDSYgqxkyZNkt/vL/GPz+cr8zm/36/UVNuOp0WSoCcWgBdZK7EMdgIAIBIxpcloJxAzuRiVZZlOzDmxADwiYJpOTE8sAACRiTrEFhbyP1tUHSqxALzIPNiJnlgAACJDTyxcgenEALwoyGAnAAAqjRALV2A6MQAvSrVUYmm1AQAgEqQBuAKVWABeZB7sVMB0YgAAIkKIhSvQEwvAi9hODABA5RFi4QqW6cSEWAAeESDEAgBQaYRYuELY1CuWQogF4BHmEBuiJxYAgIgQYuEK9MQC8KJA6q/vZ5wTCwBAZAixcAV6YgF4ET2xAABUHiEWrmCtxPJtC8AbrD2xbCcGACASpAG4ApVYAF7EYCcAACqPEAtXsEwn9hNiAXhDwPR+xjmxAABEhhALV6ASC8CLgqlUYgEAqCxCLFyB6cQAvIieWAAAKo8QC8crLDRkmH62oxILwCvoiQUAoPIIsXC8sGGtTjCdGIBXWHpiCbEAAESENADHM/fDSlRiAXgH58QCAFB5hFg4Xqjw2EosIRaANwTMg51C9MQCABAJQiwcL3zMsBM/R+wA8Ah6YgEAqDxCLBzPfEasRCUWgHeY38/oiQUAIDKEWDgePbEAvIpzYgEAqDxCLByvZE8s37YAvIFzYgEAqDzSABzv2EoshVgAXmE+YidcaJR4vwMAACURYuF45kpsaopPPh8pFoA3mI/YkdhSDABAJAixcLywabAT/bAAvCRAiAUAoNIIsXC8YyuxAOAV5nNiJSlEXywAABUixMLxzD/UUYkF4CWBY869phILAEDFCLFwPPOgk1Q/37IAvCNwzLR1zooFAKBiJAI4nnk7MZVYAF6SkuKztElwzA4AABUjxMLxwvTEAvAw61mxVGIBAKgIIRaOF2I6MQAPM/fFFoQIsQAAVIQQC8ejEgvAy4KpVGIBAKgMQiwcj55YAF5m3U5MTywAABUhxMLxwmFzJZZvWQDeQk8sAACVQyKA45krsSlUYgF4jKUnlhALAECFCLFwPHpiAXiZpRLLYCcAACpEiIXjMZ0YgJdZBzvREwsAQEUIsXA8KrEAvMz8vkZPLAAAFSPEwvGYTgzAy8zbiemJBQCgYoRYOJ6lEusnxALwFs6JBQCgcgixcDxrJZZvWQDewmAnAAAqh0QAxwubKhP0xALwGvMROwx2AgCgYoRYOB49sQC8jJ5YAAAqhxALxys0mE4MwLuCphAbohILAECFCLFwPCqxALzM0hNLJRYAgAoRYuF44TCVWADeFUjlnFgAACqDEAvHYzoxAC+jJxYAgMohEcDxLOfEUokF4DFBthMDAFAphFg4nqUS6yfEAvAW6zmxDHYCAKAihFg4XriQc2IBeBeDnQAAqBxCLByP6cQAvMw82ImeWAAAKkaIhePREwvAy+iJBQCgcgixcDymEwPwMut2YnpiAQCoCIkAjsc5sQC8jJ5YAAAqhxALx6MnFoCXBUxT1wtChFgAACpCiIXjMZ0YgJdRiQUAoHIIsXA8zokF4GX0xAIAUDlJE2IPHjyomTNn6oYbbtAJJ5ygatWqKSMjQ6eeeqr+9re/6cCBA4leIsrAdGIAXmbeTkwlFgCAiiVNiH3jjTc0YMAAvfzyy/L7/br00kvVrVs3bd68Wffdd5+6dOmiHTt2JHqZKAXTiQF4WSD11/c1zokFAKBiSZMIAoGARo4cqa+//lpff/213n77bc2ZM0cbNmxQx44dtX79ev3xj39M9DJRCiqxALyMc2IBAKicpAmx1113nZ5//nmddNJJlscbNmyoZ555RpI0ffp0FRQUJGJ5KAfTiQF4maUnNkRPLAAAFUmaEFueU089VZKUn5+vn3/+OcGrwbGYTgzAy+iJBQCgcgixkjZt2iTp6Jbj2rVrJ3g1OFbINK0zhRALwGM4YgcAgMohxEp68sknJUl9+/ZVWlpagleDY9ETC8DLgqkcsQMAQGWkJnoBifb+++/rpZdeUiAQ0IMPPhjR57Rr167Uxzdu3KiWLVvauTyInlgA3kYlFgCAyknqSuz69es1ZMgQGYah8ePHF/fGwlmsldik/pYF4EHmnthQoaHCQqqxAACUJ2krsVu3blXfvn21Z88e3X777br11lsj/ty1a9eW+nhZFVrEhkosAC8zH7EjSUcKC5WW4k/QagAAcL6kLGvt3r1bffr00ZYtWzRs2DD94x//SPSSUA6mEwPwssCxIZa+WAAAypV0IfbAgQO68MIL9fXXX2vgwIF68cUX5fMRjJzMUon18+8KgLcEUo8JsSH6YgEAKE9Shdj8/Hxddtll+vzzz3XBBRdoypQp8vvZsuV0TCcG4GWBY345x3AnAADKlzQhNhwOa/DgwZo3b566deum6dOnKxgMJnpZiID5nFh6YgF4TeCYgXUFhFgAAMqVNIOd/vWvf2nGjBmSpLp16+rmm28u9bp//OMfqlu3blUuDRUoNJhODMC7UlJ8Sk3xFbdO0BMLAED5kibE7tmzp/jPRWG2NPfffz8h1mGYTgzA6wL+FIUKw5LYTgwAQEWSpqx1//33yzCMCv/JyspK9FJxDHpiAXhdqqkvtoDBTgAAlCtpQizcK2SqSlCJBeBF5rNiqcQCAFA+Qiwcz1KJ5YgdAB4UsIRYemIBACgPIRaOF2I7MQCPC6T++t5GJRYAgPIRYuF4YctgJ75lAXiPuRLLETsAAJSPRABHMwyDSiwAz7P0xDLYCQCAchFi4WiFx7SGMdgJgBfREwsAQOQIsXC0UKG1IkElFoAXBUxD64593wMAAFaEWDha+JhSLJVYAF5k6YllOzEAAOUixMLRQseE2FQGOwHwoGAq24kBAIgUiQCOFj7mhzk/58QC8CBrTyyVWAAAykOIhaOVrMQSYgF4j7knlhALAED5CLFwNHpiASQDzokFACByhFg42rFTOv0+QiwA77GeE0tPLAAA5SHEwtHMldgUn5RCJRaAB9ETCwBA5AixcDRzTyyTiQF4VSCVnlgAACJFKoCjmSux9MMC8Cp6YgEAiBwhFo4WChNiAXgf24kBAIgcIRaORiUWQDKwHLHDYCcAAMpFiIWjmacTc0YsAK+iEgsAQOQIsXA0KrEAkgE9sQAARI4QC0ezTicmxALwpiCVWAAAIkaIhaNZKrF+QiwAb7L0xIbpiQUAoDyEWDga58QCSAaBVCqxAABEilQARwubBjvREwvAqyw9sSFCLAAA5SHEwtHM58TSEwvAq+iJBQAgcoRYOFqhwXRiAN5nrsSa2ygAAEBJhFg4GtOJASQD82AnthMDAFA+QiwcjXNiASQDBjsBABA5QiwczdoTy7crAG+y9sSynRgAgPKQCuBoVGIBJIMAg50AAIgYIRaOZumJ9RNiAXiTuSeWEAsAQPkIsXA0zokFkAw4JxYAgMgRYuFoTCcGkAyCqfTEAgAQKUIsHI2eWADJgJ5YAAAiR4iFo1krsXy7AvAm806TUKGhwkKqsQAAlIVUAEejEgsgGZi3E0vSkUKqsQAAlIUQC0eznhNLiAXgTebtxBJ9sQAAlIcQC0djOjGAZBA45gixI0woBgCgTIRYOBrnxAJIBiUrsYRYAADKQoiFo9ETCyAZHBtiCwixAACUiRALR2M6MYBk4E/xWX5RR08sAABlIxXA0ajEAkgW5r5YthMDAFA2QiwcLWQa7MR0YgBeZt5SXMBgJwAAykSIhaNRiQWQLIKmEEslFgCAshFi4Wjmc2IJsQC8zFyJNc8DAAAAVoRYOBqVWADJIpBq6ollOzEAAGUixMLRrNOJCbEAvMvSE8t2YgAAykSIhaNZK7F8uwLwLmtPLNuJAQAoC6kAjsZ0YgDJIsBgJwAAIkKIhaPREwsgWXBOLAAAkUlN9AK85mBBWJ98uyvRy/CMnQcKiv+c6ifEAvAucyV27Y/7VScjLYGrAQAgfg4WhJUe9Ef9+YRYm23dc0hDXlqa6GV4EpVYAF4WTP01xL6waJNeWLQpgasBACB+ftxzSK2Pz4z689lODNeolR5M9BIAIG4a/KZaopcAAIArUIm1WSDVp+Z10hO9DE/xSerUvJZ6nVg/0UsBgLj5fc+W2nkgX5t35SV6KQAAxNXO1Nh2WPoMw2COv03atWsnSVq7dm2CVwIAAAAAzhRrbmI7MQAAAADANQixAAAAAADXIMQCAAAAAFyDEAsAAAAAcA1CLAAAAADANQixAAAAAADXIMQCAAAAAFyDEAsAAAAAcA1CLAAAAADANQixAAAAAADXIMQCAAAAAFyDEAsAAAAAcA1CLAAAAADANQixAAAAAADXIMQCAAAAAFyDEAsAAAAAcA1CLAAAAADANQixAAAAAADXIMQCAAAAAFyDEAsAAAAAcA1CLAAAAADANQixAAAAAADXIMQCAAAAAFyDEAsAAAAAcA2fYRhGohfhFTVq1NCRI0fUsmXLRC8FAAAAABxp48aNCgQC+uWXX6L6fCqxNsrIyFAgEEj0MlyvsLBQO3fuVGFhYaKXEhMnfR1VvZZ43s/O1471tWL5/Gg+d+PGjdq4cWOl74WyOem/01g56WvxynuOk95vYnkN3m+cw0n/ncbCaV9HVa4nWX7GieU1Ivm8QCCgjIyMqNcmA3CYzZs3G5KMzZs3J3opMXHS11HVa4nn/ex87VhfK5bPj+Zz27Zta7Rt27bS90LZnPTfaayc9LV45T3HSe83sbwG7zfO4aT/TmPhtK+jKteTLD/jxPIaVfHvg0osAAAAAMA1CLEAAAAAANcgxMJxatasqfvuu081a9ZM9FJi4qSvo6rXEs/72fnasb5WLJ/vpO+PZOalfw9O+lq88p7jpPebWF7DSd8byc4r/y6c9nVU5XqS5WecWF6jKv59MJ0YAFyiXbt2kqS1a9cmeCUAvI73GwBORiUWAAAAAOAaVGIBAAAAAK5BJRYAAAAA4BqEWAAAAACAaxBiAQAAAACuQYgFAAAAALgGIRYAAAAA4BqEWAAAAACAaxBiAcBjli9frqFDh6pVq1by+XwaO3ZsopcEwMPefvttXXTRRWrYsKGOO+44de/eXZ988kmilwXAwwixAOAxn376qT777DOdc845Ou644xK9HAAe989//lN169bVM888o6lTp6px48Y677zz9OWXXyZ6aQA8ymcYhpHoRQAA7FNYWKiUlKO/o8zKytKQIUP00EMPJXhVALzq559/Vp06dYo/LiwsVPv27dW1a1e98MILCVwZAK+iEgsAHlMUYAGgKpgDrHT0Pejkk0/W5s2bE7QiAF7HTzoAUIVWrFihcePGaeDAgWrSpIl8Pp98Pl+Fn3fo0CH99a9/VZs2bVStWjU1atRIw4cP19atW6tg1QDcKhHvOeFwWMuWLVOrVq3s+BIAoITURC8AAJLJgw8+qHfeeadSn3P48GH16tVLn332mRo2bKjLLrtMOTk5euWVVzR79mx99tlnatGiRZxWDMDNEvGe869//Uu5ubm6+eabY10+AJSKSiwAVKGzzjpL9957r959911t27ZNaWlpFX7OQw89pM8++0xnnXWWvvnmG7311ltaunSpJkyYoJ07d2r48OFVsHIAblTV7zlLly7Vn//8Z40dO1bt27e380sBgGIMdgKABKpWrZry8/NV1ltxQUGB6tevr3379mnlypXq2LGj5flTTz1Vq1ev1vLly9W5c+cSn89gJwBm8XzPycnJ0Zlnnqnu3bvrrbfeimjbMgBEg0osADjYp59+qn379qlly5YlfpiUpEGDBkmSZs2aVdVLA+BB0b7n7N27VxdddJGysrI0adIkAiyAuKInFgAcrOicxU6dOpX6fNHjq1evrrI1AfCuaN5zCgoKNHDgQB08eFDz5s1T9erV479QAEmNEAsADpabmytJatKkSanPFz2+ZcuW4sd27typhQsXSpIOHjyo9evXKzs7WxkZGbrwwgvjvGIAbhbNe87NN9+shQsX6sUXX9TmzZuLj9ZJS0srtZoLALEixAKAgx04cECSlJ6eXurzGRkZkqRffvml+LG1a9fqiiuuKP542rRpmjZtmpo3b66cnJz4LRaA60XznjN37lwVFhbqhhtusFzLew6AeCHEAoDH9OzZs8yhLQBgN4IqgKrGYCcAcLDMzExJR7cFlyYvL0+SVKNGjSpbEwDv4j0HgBsQYgHAwZo1ayZJ+uGHH0p9vujx5s2bV9maAHgX7zkA3IAQCwAOduqpp0qSVq5cWerzRY+fcsopVbYmAN7Few4ANyDEAoCDde3aVccdd5w2btyoVatWlXg+OztbknTJJZdU8coAeBHvOQDcgBALAA4WDAb1hz/8QZI0evTo4n40SXr88ce1evVq9ejRQ507d07UEgF4CO85ANzAZzDCEgCqzHvvvacHH3yw+OPPP/9chmHojDPOKH7s3nvv1UUXXVT88eHDh9WzZ08tXbpUDRs2VLdu3bRlyxYtXbpU9erV02effaYWLVpU6dcBwB14zwHgRRyxAwBVaOfOnVq6dGmJx82P7dy50/JctWrVNH/+fD3yyCN64403NHPmTNWuXVvXX3+9HnzwQTVp0iTu6wbgTrznAPAiKrEAAAAAANegJxYAAAAA4BqEWAAAAACAaxBiAQAAAACuQYgFAAAAALgGIRYAAAAA4BqEWAAAAACAaxBiAQAAAACuQYgFAAAAALgGIRYAAAAA4BqEWAAAAACAaxBiAQAAAACuQYgFAAAAALgGIRYAAAAA4BqEWABIcj6fz/JPIBBQ3bp11b59e11//fWaNm2aQqFQuZ+flZVVdQv2qLy8PN1yyy1q2rSpUlNT5fP5dP/99yd6WUlt4sSJlv82MjMzy73+888/L772b3/7W7nXZmVlyefzacGCBRXev2fPnpbHZ86cWeK/WwBIJoRYAIAk6brrrtN1112nwYMHq2vXrgqFQnr11Vc1aNAgnXTSSfr888/jct+iH9STPbDdfffdevrpp1WtWjVdeeWVuu6669ShQ4dEL6tKOfV74dRTT9V1112nIUOGlHvda6+9VvznyZMnx209zZo1K/7vNSMjI273AQCnSk30AgAAzjBx4sQSj23cuFH33HOP3n77bZ177rn69NNPSwSrdevWKRAIVM0iPWzmzJmqXr26vvjiiworfqha/fv3rzBYHzlyRG+++aYkqUGDBvrmm2+0dOlSnXHGGbavp1OnTsX/vS5YsEB5eXm23wMAnIxKLACgTC1bttRbb72lG264QQcPHtTw4cNLXHPiiSeqZcuWCVidt/zwww+qX78+Adal5syZo127dqlr1666+eabJVkrswAA+xBiAQAVmjBhgjIyMvTFF1/ok08+sTxXVk/s4sWL1b9/fzVv3lxpaWlq0KCBTj/9dP35z3/WgQMHJEk9e/bUsGHDJEkPPPCApcevqNJkGIamTJmiq6++Wm3atFFGRoZq1Kih008/Xf/+979VWFhY4t73339/8WusWbNGl156qWrVqqWMjAz16NFDixcvLvNrXbp0qa6++mo1btxYaWlpatiwoc477zy9+OKLJa49ePCgHnnkEXXs2FGZmZnKzMzUmWeeqUmTJkX6V6uePXvK5/PJMAxt2bKl1D7Hor/jgoIC/e1vf9OJJ56otLQ09e/fv/ia77//XjfddFPx33f9+vU1cOBALVu2rMQ9c3Jyinst8/LydPvtt6tp06aqXr26OnXqpFmzZhVfO3XqVJ1xxhnKyMjQ8ccfr1tuuUWHDh2K+OuTnPO98Pnnn+viiy9WnTp15PP5tGrVqkp9HeV5/fXXJUlDhgwp3nb81ltv6ciRI7bdAwBwFNuJAQAVOu6443ThhRcqOztb8+fP1znnnFPu9bNmzVL//v1lGIZOP/10nX322dq7d6++/fZbPfrooxo1apQyMzPVt29fhUIhffrppzr11FMtW5VbtWolScrPz9c111yjOnXqqG3bturUqZN+/vlnLV68WKNHj9bnn39e6lZoSVq+fLlGjx6tli1b6oILLtD69eu1aNEinXfeeVq2bJlOPvlky/VPPvmkbr/9dhUWFqpz587q3r27du3apdWrV+uOO+7QiBEjiq/dsWOHevfurdWrV6tBgwbq0aOHDMPQ4sWLdf3112v58uV6+umnK/y77du3r7KysjRp0iRlZGRo0KBBpV5XWFio/v37a9GiRerRo4dOOeUU1alTR5K0Zs0a9erVS7t27dIJJ5yggQMHKjc3VzNmzNCsWbP0xhtv6IorrijxmgUFBTrvvPO0efPm4q910aJFGjBggObMmaM1a9bozjvvVI8ePXTBBRdo0aJFevrpp/Xzzz9H3PPplO+FRYsWaeTIkWrTpo369OmjH3/8USkp9vwuf9++fXr33XcVDAZ15ZVXqnbt2jr77LO1ePFizZkzR5dccokt9wEA/B8DAJDUJBmR/O/goYceMiQZgwcPLvH5zZs3tzzWvXt3Q5KRnZ1d4nU+//xzY//+/cUfv/LKK4Yk47777iv1vkeOHDFmzJhhFBQUWB7fsWOHcdpppxmSjIULF1qeu++++4q/rieffNLy3B//+EdDknHttddaHl+4cKHh8/mMGjVqGHPnzi2xhvfee8/yWL9+/QxJxq233mocPny4+PHt27cXr+u///1vqV9TaUr7ezQ/J8lo1aqV8cMPP1ieKywsNNq3b29IMu68806jsLCw+Lns7GwjJSXFyMzMNH788cfixzdv3lz8mr169TIOHDhQ/FzRv49WrVoZtWrVMpYtW1b83NatW4369esbkoyNGzdG9HU56Xvh0UcfjWjNka6nyH/+8x9DknHZZZcVP/bvf//bkGRcccUVpX5O8+bNDUnG/PnzK7x/jx49yrym6HUAIJmwnRgAEJG6detKkvbs2VPhtTt37pQknX/++SWe69Kli2rUqBHxfVNTU9W/f/8Sw6Pq1aunRx55RJL0zjvvlPq5Xbt21S233GJ5bOzYsZKOVubMxo0bJ8Mw9Je//EXnnXdeiTX069ev+ONVq1bp/fffV5cuXfT4448rLS2t+Lnjjz9eL7zwgiTp2WefjfjrjMQjjzyixo0bWx5bsGCB1qxZo2bNmumhhx6ybEO+/PLL1b9/fx04cEAvv/xyiddLSUnRs88+a5lwO3ToUNWtW1ffffedRo8erdNOO634uUaNGul3v/udpJJ/f2VxyvdC+/btdccdd0R8r8oo6n01Ty++8sorFQgENGvWLO3bty8u9wWAZMV2YgBARAzDkKSIzqTs3Lmz1q1bp2uvvVb33nuvOnfuHPPWzVWrVumDDz7Qli1bdPDgQRmGoV9++UWS9O2335b6OX369CnxWJ06dVS7dm1t27at+LFQKFR8XufIkSMrXMsHH3wg6ejU2tK+rqIeWTuPJfL5fKVuS/34448l/RqajnXttddq+vTpxdeZZWVlqU2bNpbHUlJS1Lx5c+3atavUv78WLVpIkuXvrzxO+V64+OKL43Keam5urhYtWqSaNWta/v3UqVNH/fr10zvvvKOpU6fqxhtvtP3eAJCsCLEAgIjs2rVLklS7du0Kr/373/+uNWvWaNasWZo1a5Zq1aqlc845R5deeqmGDBmiatWqRXzfgoICXX/99ZoyZUqZ1xQFmGM1adKk1Mdr1Kih3bt3F3/8888/69ChQ6pdu7Zq1apV4ZpycnIkSX/5y1/0l7/8pczrDh8+XOFrRap+/fqWim+RH3/8UZJKHa5lfnzr1q0lnju2qlukaEJyac8XPZefn1/hmiXnfC80a9Ys4vtUxuTJk2UYhgYNGlTi38+QIUP0zjvv6PXXXy8RYiMJ1JX5xREAJBNCLAAgIl988YUkqW3bthVe27RpUy1fvlzz5s3T7NmztXDhwuIQ89hjj2nJkiXFQ4kq8vjjj2vKlClq3769HnvsMXXq1Em1atVSIBDQN998oxNOOKH4h/1j2TW451hFU3DPOeecKjteqDJhz6y8AFTR348df39O+V6I9u+vIkVbiRcsWFBi4FlBQYGko1uvt2zZoubNmxc/l56eLunohOuyFD1n3u4NACDEAgAisG/fPv3vf/+TJJ177rkRfU5qaqr69OlTvCV1y5YtGj58uObNm6dHH31Ujz32WESvM2PGDEnSlClT1K5dO8tzmzZtivRLKFfdunVVvXp17d69W3v37lXNmjXLvb6owtu/f3/96U9/smUN0WrUqJGko3+/pSmqGpdVda0KbvpeqIwVK1Zo3bp1kqTvvvtO3333XanXGYahyZMn65577il+rEmTJvr666/LXXfRc2XtKACAZMVgJwBAhf70pz8pLy9PXbp00VlnnRXVazRv3lx33XWXJOmrr74qfjwYDEo62pdamqJBUqX9IP/2229HtZZj+f1+9ezZU5KKhzKVp3fv3pJ+DVWJ1K1bN0lHz3MNh8Mlni86v7ToOidw8vdCZRT93Y4ZM0aGYZT6T1GvddG1Rbp37y5Jeu+990p97cLCwuLnnPTvDgCcgBALACjTpk2bdNVVV+mll15SRkaGXnrppYg+74knntD27dtLPP7+++9LOrrFtEhRJXHDhg2lvlbR4KHnnnvO8nh2drZeffXViNYTibvuuks+n08PP/yw5s+fb3kuFAoVr12SzjjjDPXu3VuffvqpRo8erf3795d4vS+//FJz5syxbX1l6dmzp9q3b6+cnBz99a9/tWynnTFjhqZPn67MzEwNHz487mspjRu/FyIRDoeLe3MHDx5c5nXdunVT48aNtW7dOq1YsaL48eHDhyszM1Nz5szR888/X+K1//KXv2jDhg1q0qSJLr/88vh8EQDgUmwnBgBIkq6//npJRytA+/fv1zfffKP169fLMAy1bt1ab7zxhtq3bx/Raz3wwAMaM2aMTj31VLVu3VqGYejLL7/UN998o9q1a2vMmDHF15555pmqX7++srOz1bNnT7Vo0UIpKSkaPny4zj77bN15552aM2eO/vznP2vq1Klq06aNvv32Wy1fvlxjxozRP/7xD1u+/h49euixxx7TnXfeqV69eum0005T69attWvXLn355ZfKz8/X3r17i69//fXX1bdvX/373//WG2+8oQ4dOqhRo0bat2+fVq9ere+//1633nqr+vbta8v6yuLz+TR58mSde+65+vvf/64ZM2aoQ4cOys3N1aeffqrU1FS99NJLatiwYVzXURY3fi9E4oMPPtBPP/2kNm3aqFOnTmVel5KSoquuukqPP/64XnvtNXXu3FmS1LBhQ7366qsaPHiwRo0apSeeeEIdOnRQOBzW559/rtzcXNWsWVNvv/123Pp5AcCtqMQCACRJkyZN0qRJkzRlyhR9/PHH8vv9Gjp0qKZPn65169ZZzgutyNNPP62rr75aBw8e1H//+1/NmTNHqampuv3227V69Wq1bt26+Npq1arpvffeU+/evbVq1SpNnDhRL730kr755htJR7ddfvLJJ+rVq5c2bdqk2bNnKxgMatq0aRo9erStfwdjxozRwoULNWDAAOXm5io7O1tfffWV2rdvrwkTJliurV+/vhYvXqynnnpKbdu21RdffKHs7GytXr1aLVq00Pjx4y0BLZ7at2+vlStXasSIETpw4ICys7O1YcMG9e/fX59++qmuvPLKKllHadz6vVCRooFO5VVhixRdM2XKFMtW6QEDBmjlypW64YYbdOTIEc2cOVPvvfee0tPTdeutt2r16tVRb98HAC/zGWWN8QMAAEhiEydO1LBhw3Tffffp/vvvT/RySpWVlaUtW7aUOZUZALyI7cQAAADlmDlzpnJyclStWrUS/biJsHLlSj311FOSfj2/GQCSCSEWAACgHF9++aW+/PJLZWRkOCLE5ubmatKkSYleBgAkDNuJAQAAAACuwWAnAAAAAIBrEGIBAAAAAK5BiAUAAAAAuAYhFgAAAADgGoRYAAAAAIBrEGIBAAAAAK5BiAUAAAAAuAYhFgAAAADgGoRYAAAAAIBrEGIBAAAAAK5BiAUAAAAAuAYhFgAAAADgGoRYAAAAAIBrEGIBAAAAAK5BiAUAAAAAuMb/BzlCR38+JjCxAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "fig = plt.figure(dpi=150)\n", "ax = fig.add_subplot(111)\n", "ax.semilogx(sim.grid.r/c.au, sim.dust.v.frag/100.)\n", "ax.set_xlim(sim.grid.r[0]/c.au, sim.grid.r[-1]/c.au)\n", "ax.set_xlabel(\"Distance from star [AU]\")\n", "ax.set_ylabel(\"Fragmentation velocity [m/s]\")\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we do not assign out function to the updater of the fragmentation velocities. Since the temperature profile is constant in the default model, the fragmentation velocity would not change. It's therefore not required to update it at every time step.\n", "\n", "We are now ready to start the simulation." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2023-11-30T11:29:13.393213Z", "iopub.status.busy": "2023-11-30T11:29:13.392921Z", "iopub.status.idle": "2023-11-30T11:29:13.397734Z", "shell.execute_reply": "2023-11-30T11:29:13.396712Z" } }, "outputs": [], "source": [ "sim.writer.datadir = \"example_ice_lines\"" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2023-11-30T11:29:13.402525Z", "iopub.status.busy": "2023-11-30T11:29:13.402255Z", "iopub.status.idle": "2023-11-30T14:55:51.400804Z", "shell.execute_reply": "2023-11-30T14:55:51.399480Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "DustPy v1.0.5\n", "\n", "Documentation: https://stammler.github.io/dustpy/\n", "PyPI: https://pypi.org/project/dustpy/\n", "GitHub: https://github.com/stammler/dustpy/\n", "\u001b[94m\n", "Please cite Stammler & Birnstiel (2022).\u001b[0m\n", "\n", "\u001b[93mChecking for mass conservation...\n", "\u001b[0m\n", "\u001b[93m - Sticking:\u001b[0m\n", "\u001b[0m max. rel. error: \u001b[92m 2.75e-14\u001b[0m\n", " for particle collision\n", " m[114] = 1.93e+04 g with\n", " m[116] = 3.73e+04 g\u001b[0m\n", "\u001b[93m - Full fragmentation:\u001b[0m\n", "\u001b[0m max. rel. error: \u001b[92m 5.55e-16\u001b[0m\n", " for particle collision\n", " m[55] = 7.20e-05 g with\n", " m[55] = 7.20e-05 g\u001b[0m\n", "\u001b[93m - Erosion:\u001b[0m\n", "\u001b[0m max. rel. error: \u001b[92m 1.78e-15\u001b[0m\n", " for particle collision\n", " m[110] = 5.18e+03 g with\n", " m[118] = 7.20e+04 g\n", "\u001b[0m\n", "Creating data directory 'example_ice_lines'.\n", "Writing file \u001b[94mexample_ice_lines/data0000.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0001.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0002.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0003.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0004.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0005.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0006.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0007.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0008.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0009.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0010.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0011.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0012.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0013.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0014.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0015.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0016.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0017.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0018.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0019.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0020.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_ice_lines/data0021.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_ice_lines/frame.dmp\u001b[0m\n", "Execution time: \u001b[94m3:26:37\u001b[0m\n" ] } ], "source": [ "sim.run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is the result of our simulation." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2023-11-30T14:55:51.406637Z", "iopub.status.busy": "2023-11-30T14:55:51.406383Z", "iopub.status.idle": "2023-11-30T14:55:52.535467Z", "shell.execute_reply": "2023-11-30T14:55:52.534038Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from dustpy import plot\n", "\n", "plot.panel(sim)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the inner disk is enriched in dust. The reason for this is the so-called \"traffic jam\" effect. Dust particles outside the water ice line grow to larger sizes, which drift rapidly. After crossing the water ice line the fragment down so slowly drifting particles. Therefore, dust accumulates inside the water ice line." ] } ], "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": "3.12.0" } }, "nbformat": 4, "nbformat_minor": 4 }