{ "cells": [ { "cell_type": "markdown", "id": "80c768da-a30a-4829-92a3-983041613824", "metadata": {}, "source": [ "# ADM M-R and M-Tidal Example\n", "\n", "To run this tutorial, you should install NEoST following the install guide. \n", "\n", "The following block of code will properly import NEoST and its prerequisites, furthermore it also defines how to compute the mass-radius and mass-tidal deformability relations with ADM." ] }, { "cell_type": "code", "execution_count": 1, "id": "9026c71d-b2dc-4a91-8585-7a7e09841eb3", "metadata": {}, "outputs": [], "source": [ "import time\n", "import neost\n", "from neost.eos import polytropes\n", "from neost.Prior import Prior\n", "from neost.Star import Star\n", "from neost.Likelihood import Likelihood\n", "from scipy.stats import multivariate_normal\n", "from neost import PosteriorAnalysis\n", "import numpy\n", "import matplotlib\n", "from matplotlib import pyplot\n", "import timeit\n", "import neost.global_imports as global_imports\n", "from matplotlib.patches import Ellipse\n", "\n", "start = time.time()\n", "c = global_imports._c\n", "G = global_imports._G\n", "Msun = global_imports._M_s\n", "pi = global_imports._pi\n", "rho_ns = global_imports._rhons" ] }, { "cell_type": "code", "execution_count": 2, "id": "130737b6-b6fe-47bb-8dd9-ef5022447e0d", "metadata": {}, "outputs": [], "source": [ "EOS = polytropes.PolytropicEoS(crust='ceft-Hebeler', rho_t= 2e14,adm_type = 'Fermionic',dm_halo = True,two_fluid_tidal = True)" ] }, { "cell_type": "code", "execution_count": 3, "id": "9103b1f4-46f9-4c75-a072-b0138667e009", "metadata": {}, "outputs": [], "source": [ "EOS.update({'gamma1':2.3, 'gamma2':4., 'gamma3':2.6, 'rho_t1':1.8, 'rho_t2':4, 'mchi': 4.5*pow(10,4), 'gchi_over_mphi': pow(10,-1), 'adm_fraction': 4.7, 'ceft': 2.6}, max_edsc=True)" ] }, { "cell_type": "code", "execution_count": null, "id": "869af963-508b-4281-aada-d11709aab9f8", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 4, "id": "d9d79d13-5a53-4ed9-b94d-0a0ac2c7fbd5", "metadata": {}, "outputs": [], "source": [ "central_densities = numpy.logspace(14.5,numpy.log10(EOS.max_edsc), 75)\n", "MR = numpy.zeros((len(central_densities), 6))\n", "\n", "\n", "#print('ADM energy density in units of g/cm^3')\n", "for i, eps in enumerate(central_densities):\n", " epsdm_cent = EOS.find_epsdm_cent(EOS.adm_fraction,eps) \n", " star = Star(eps,epsdm_cent)\n", " star.solve_structure(EOS.energydensities, EOS.pressures, EOS.energydensities_dm, EOS.pressures_dm,EOS.dm_halo, EOS.two_fluid_tidal)\n", "\n", " #Just to get the purely baryonic Tidal def\n", " star2 = Star(eps)\n", " star2.solve_structure(EOS.energydensities, EOS.pressures)\n", " MR[i] = star.Mrot, star.Req,star.tidal, star2.Mrot,star2.tidal,star.Mdm" ] }, { "cell_type": "code", "execution_count": 5, "id": "37e80e9b-148a-4104-851d-b954edf940ac", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Execution time of the MR is: 11.475404024124146\n", "ADM mass-fraction: [4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7\n", " 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7\n", " 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7\n", " 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7\n", " 4.7 4.7 4.7]\n" ] } ], "source": [ "end = time.time()\n", "\n", "print(\"Execution time of the MR is: \" + str(end-start)) \n", "\n", "print('ADM mass-fraction: ', MR[:,5]/MR[:,0]*100)" ] }, { "cell_type": "code", "execution_count": 6, "id": "ddced6a6-4f8d-40de-a8fe-b55c147a908c", "metadata": {}, "outputs": [ { "data": { "image/png": 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AAJ3G2sJiHb98ZajLaJVlE47VxJQubfJY//73v1VaWqr+/ftrzJgxkqT4+HidccYZevXVV/XCCy9o1KhRrXqOXr16SaqaobwpF198sT7//HO99NJLuvnmmyW1vmu5JCUmJmr69On19iclJenxxx/Xm2++qVdeeUVPPfWUHI6qX6WLior0f//3f5KkuXPnasiQIYHrRowYoccff1znnHNOk8+bmpqqZ555RjExMZIkm82mP/7xj3r22We1Zs0aHX300XrwwQcDXZLdbrf+/Oc/6+2339a7777b7NeXnJys5557TlOmTNGvf/1rnXDCCfriiy/08ssvB2qo7dlnn9WWLVt09tln69FHHw06NnjwYC1YsEAjR47UX/7yF1199dWSqrojP/TQQ5Kke++9VxMnTgxck5mZqfnz57fq74nX69X8+fM1YMCAwL5x48bp8ssv11/+8hctXLhQU6ZMCRx76KGHlJeXpxtuuEG/+93vgh7ruOOO09///nedeeaZevjhh3XGGWcccl2H4sorr9QvfvGLwHb136m5c+eqsLBQI0eO1COPPBI4brPZdNttt2n58uV655139OCDD+r555+v97gpKSmaN2+eYmNjA/uuuuoqPf3001q1apU+/PBDnX322Qetb8uWLfL7/TrppJM0YcKEoGNRUVE6//zzW/qSJUmXXnppvX0Oh0OXXXaZlixZohdffFErVqzQcccd1+B5//rXv9SjR4+gWsIZY7oBAADQLNWh9sILLwzaf9FFF0mSXn755SbXz26O6pDQ0CRptV1wwQVyOBx68cUXJUkej0evvPKKUlNTgwLXofrggw90ww03aNq0aZo0aZImTpyoiRMnqqCgQKWlpUFjnpctW6bS0lL16dNHp59+er3HOuussw46i/gFF1wQCNzVEhMT1bdvX0k144NrGzhwYGCd9Nzc3Ga/ttNOO02/+tWvVFxcrPPPP19XXXWVJOnJJ59Ut27dgs597bXXJEmXX355g481fPhwZWZm6vvvvw+M7f3mm2+0Y8cORUVFNTjW9phjjtG4ceOaXW9dI0eO1OjRo+vtr/4i6Pvvv2/Ra5gyZYpcLpc++eSTVv/9bamGwqekwJJ411xzTYPHr7/++qDz6rrggguCAne1xt6jxlR/CbZy5cpDniyxMRs3btTs2bN1zjnn6IQTTgj8G6seE75mzZoGrzvllFOCAnckoKUbAAAAB5WVlaUPP/xQUv3Qffrpp6tLly6B9bOnTp16yM9TPelYQkJCk+d17dpVp512mt555x2tWbNGW7duVV5enq6++upWrU3t8Xj085//XG+88UaT5+Xl5QXuf/vtt5KkQYMG1QvGUlXr5IABA5SVldXo4/Xr16/B/V27dtU333zT5PEdO3aouLhYKSkpTdZc25///GctWrRIX3zxhaSqCbgaavmsXjf9rrvu0h//+McGH6t6crmsrCz17Nkz8H706dOn3hcJ1Y466qhGJwM7mMbei7S0NEkKmriuuLg4MDHZFVdc0eTjlpeXKzc3V+np6YdU16E46qijGtxf/R4OHjy4wePVvSn27NmjwsLCev9eWvIeNSUjI0PnnnuuXn31VfXv318nnniiTjjhBB1//PEaN25coGW+pf70pz/pjjvuaHQSPin431htjb1n4YzQDQAA0IhhCXFaNuHYUJfRKsMS4trkcV566SX5/X4dc8wxgbWyq7lcLp177rl68skn9cILL7QqdFe3plWHg6Zccskleuedd/Tiiy9q69atgX2tcd999+mNN95Qt27d9MADD2jSpEnq1q2b3G63JGnixIlavny5KisrA9dUB5iuXbs2+rgHC3KNhdPqEH+w48aYJh+/rujoaI0bN06bNm2SJM2aNavB8woKCiRJX3755UEfs6ysTFLbvB9NaagFV6r6ckMKfi+q65ek5cuXH/Sxq1/D4dLYa6l+Dxv7d1D7/SsqKqoXulvyHh3M888/r8GDB+vpp5/W+++/H2hd79q1q26++WbdeOONgcdtjo8++ki33Xab7Ha7/vSnP+nHP/5x4Asay7J0xx136A9/+EPQv7HmvLZwRugGAABoRKLT2WbjoSNdddfyVatWNdiaW+3NN99ssOWtuT7++GNJ0tixYw967llnnaWEhAS98MIL2r9/v4488kgde2zrviSpXvps3rx5+tGPflTv+M6dO+vti4ur+mKjoWW4qh1sjPrh9t///lfz58+XzWaT3+/XVVddpS+//DLw5UK1uLg47d+/X5s3b1b//v2b9djh9H5U1yJV9WJoSS+Ig32h0dTyZK0VFxengoIC5eTkNNhqXXvZtfj4+HarQ6oaLz1nzhzNmTNHGzdu1EcffaT//Oc/+u9//6vf/va3kqTf/OY3zX686n9jv/3tb3XrrbfWO97Qv7FIx5huAAAANOmrr77SunXrZFmW0tPTG725XK5G189ujt27d+utt96SJE2bNu2g50dHR+ucc87Rnj17VFFR0aoJ1KpVd0VuaAKn3NzcBruIV0/otWnTpgYDmt/vD7Qoh4N9+/YFxjc/++yzOvbYY7V+/Xrddttt9c6t7t68bt26Zj9+9fuxY8cOlZaWNnjON99809KyD0liYmJg/G9j6z83prpFtbEvD7Zs2dLg/qa+lGqu6vdww4YNDR6vfi3p6emH/AXXoRg0aJCuuOIKvfXWW5o7d64k6amnngo652Cvv6l/Y1LjY7kjGaEbAAAATapu5Z40aZKys7Mbvd10001B57dEWVmZLrnkElVUVGjAgAH66U9/2qzrrrjiCp188sk6+eSTW921XKoK8lJwS2K1hx56SD6fr97+iRMnKiYmRtu2bdN7771X7/hbb73V5Hjuw+3KK69Udna2fvazn2n69Ol64YUXFBMTo4cfflhLliwJOrd61vXHHnus2V2SBw0apF69eqmsrKzBmbVXr16tTz/9tNWvo7mqX0PtWcCb44gjjpAkff755/WO/fvf/1Z+fn6D11X/HWpNV/XqXhZPPPFEg8cfe+yxoPNCoXoyvF27dgXtP9jrb+rf2Pvvv0/oBgAAQOfi8/n08ssvSzr4eOnqluYlS5Y0u4toWVmZXn/9dR177LFavHixYmNj9corr8hutzfr+vHjx2vRokVatGhRYKbv1qhe3uqmm24KjKs1xuj555/Xgw8+2ODSRAkJCYFln371q18FteJ+/fXXuu6661o1uVtbmjdvnl577TV1795df//73yVJRx55pB588EEZYzR9+nQVFhYGzr/yyit1xBFH6MMPP9RFF12k3bt3Bz1ecXGxXnnlFd14442BfTabLbB9++2365NPPgkc2759u6ZPn35Y349bbrlFycnJmj9/vm688Ubt378/6HheXp6effZZ3XvvvUH7q2eif+CBB4Jmq//888+b/JlWh/WPPvqoxWPtq1111VVKSEjQ6tWrdcMNN8jj8Uiq6jXxwAMP6L///a+cTmfgi672snjxYv32t7+t1+JeXFysP//5z5KqZqOvrfr1V89CXlf1v7H77rsvMBeDVPW+zpo1K+yX/zoUhG4AAAA06n//+5+ys7MVFRWln/3sZ02eO3jwYB199NEyxgTGbda2cOHCwLJA48eP16BBg5SYmKhzzjlHa9eu1ciRI7VixQqNGDGivV7OQd19991yu9166623lJGRodGjR6tnz56aPn26zj///EbHjN97770aNWqUtm7dqiFDhmj48OEaNmyYRo4cqa5duza75b49bd++PbDU1DPPPBM02/lVV12l008/XTt27NC1114b2B8XF6f//ve/6tu3r15++WX17NlTgwcP1rhx4zRw4EAlJSXp5z//eVCwlqRrr71WU6dOVV5eniZMmKCjjjpKRx99tPr376/9+/fryiuvPDwvWlLPnj311ltvKTU1VQ8//LDS0tI0fPhwjRs3Tv369VNqaqouu+yyel3oZ86cqSFDhmjHjh0aPHiwhg0bpoEDB2rs2LGaNGlSo92jzz77bLlcLv3jH/9Q3759NWnSJJ1wwgmaN29es2vu0aOHXnjhBblcLj3yyCPq1q2bxo4dq+7du+uWW26RzWbTE088oeHDh7fmrTmooqIiPfjggxoyZIjS0tI0ZswYjRw5Uunp6XrppZeUmJiohx9+OOian//855Kk+++/XwMHDtTkyZN1wgknBNaTv+KKK3TEEUdoy5YtGjRokIYPH65BgwZp7NixSkxM1K9+9at2fU2hQOgGAABAo6q7ip955plKTEw86PnVrd0NdTHPycnR8uXLtXz5cq1evVr79+/XMccco6uvvlqLFi3SV199paFDh7btC2ihUaNG6aOPPtKpp54qv9+vjRs3Ki0tTY899pjmz5/f6HVxcXFasmSJbrnlFvXu3VubNm1SUVGRbrjhBi1durTeBGWHm9/v16WXXqrCwkJdeeWVDa4n/uyzzyolJUXPP/980Lj8QYMGac2aNbrvvvs0ZswYZWVlafXq1fJ4PJo8ebIefPBB/eMf/wh6LLvdrjfeeEN/+tOfNGDAAH3//ffas2ePpk+frs8++6xFy5u1hQkTJmjDhg26/fbbNXjwYG3dulVff/21bDabpkyZorlz5+rRRx8NuiYqKkoffPCBLrvsMiUnJ2vz5s2y2Wx68MEHG/xSqVq/fv309ttva/LkycrPz9fHH3+spUuXBsYyN9ePf/xjffnll7rooosUFRWl1atXyxijs88+Wx9//PFBl0BrC8cff7wee+wxnXnmmYqLi9OGDRu0bds29e/fXzfffLM2btxYr6X7+OOP14IFCzR27FhlZWXpo48+0tKlS5WdnS2pqmfIxx9/rEsvvVQJCQnatGmTPB6PbrzxRn366aftPjFcKFjmUPs8dCKFhYVKTExUQUHBYZ2oAAAAtL/y8nJt3bpVffv27ZDdGgGgs2vJ//Ptkf1o6QYAAAAAoJ0QugEAAAAAaCeEbgAAAAAA2gmhGwAAAACAdkLoBgAAAACgnRC6AQAAAABoJ4RuAAAAAADaCaEbAAAAAIB2QugGAAAAAKCdELoBAAAAAGgnhG4AAAAAANoJoRsAAAAAgHZC6AYAAAAAoJ0QugEAAAAAaCeEbgAAAAAA2gmhGwAAAGhHlmXJsqxQlwEgRAjdAAAAOKjMzMxAeKx9i4uL0/Dhw/W73/1Oubm5oS4TYW7evHmaM2eOtm3bFupSQuKRRx7RnDlztH///lCXgsPIEeoCAAAAEDmOPPJIpaWlSZL8fr92796ttWvXau3atXrhhRf08ccfKzMzM7RFhpmBAweGuoSwMW/ePC1dulQnnHBCp/x78sgjj2j79u2aMWOGkpKSQl0ODhNCNwAAAJrttttu04wZM4L2ffXVVzrjjDOUlZWlm2++Wa+88kpoigtTGzduDHUJAEKI7uUAAABolaOPPlq33367JGnRokUhrgYAwguhGwAAAK3Wp08fSZLH46l3LDs7W48//rh+9KMfKTMzU1FRUerSpYsmT56sF154ocHH27ZtmyzLCnRBfuqppzRmzBjFx8fLsizt379f0dHRcjqd2rNnT6N1nXHGGbIsS3/961+D9ldWVurxxx/X2LFjlZCQoNjYWI0YMUJ/+MMfVFpaetB6XnzxRY0ePVoxMTFKTk7Wueeeq++//77BGpqaSM0Yo1dffVVTp05VWlqa3G63evfurdNPP13z5s1r9HXVNWfOHFmWpTlz5qigoEC//vWv1bt3b7ndbvXv31/33HOPvF5vo9dv3LhRs2bNUmZmptxut1JSUjRt2jR98MEHLX5NUs0cANVjt5csWSLLsrR06VJJ0oknnhg0N0D1az3Yz722Tz75ROecc47S09PlcrnUs2dPXXrppfrmm28arOmEE06QZVlasmSJNm7cqHPPPVepqamKjo7WqFGjDqmHhtfr1aOPPqqxY8cqPj5ebrdbPXr00HHHHafZs2cHxm7PmzdPlmVp+/btkqS+ffsGvf4lS5YEHvN///ufrrnmGo0YMULJycmKiopSv379dNVVV2nHjh0N1jFjxozA+7h161bNmDFDGRkZcjgcmjNnTotfF9qYwUEVFBQYSaagoCDUpQAAgDZWVlZmNmzYYMrKykJdSljr06ePkWSee+65Bo/PmTPHSDKjRo2qd+yee+4xkkx0dLTp16+fGT16tOndu7eRZCSZX/7yl/Wu2bp1q5Fk+vTpY375y18aSaZXr15m9OjRJikpyRhjzAUXXGAkmYceeqjBmrKzs43D4TAul8vk5uYG9peWlpqTTjop8PxHHXWUGT58uLHZbEaSGTlypNm3b1+j9dx6662B+yNGjDBut9tIMt27dzd79+6tV0f189RVUVFhzj777MDx7t27mzFjxpiMjAxjWVaD1zRm9uzZRpL59a9/bY466ijjcDjMyJEjTWZmZuDxL7/88gav/ec//2lcLpeRZOLj483IkSNNt27djCRjWZZ57LHHmv2aqlX/fdm6dasxxphVq1aZCRMmmISEBCPJDB061EyYMCFwe+edd4wxzfu5G2PM3LlzA+9RWlpa4LgkExUVZf7zn//Uq2ny5MlGknnwwQdNXFyciY+PN6NGjTJdu3YNvJ4XXnih2e+5Mcb89Kc/DVzbr18/M2bMGNOrVy9jt9uNJPPVV18ZY4x55513zIQJEwJ/V0aPHh30+letWhV4TLvdbizLMmlpaWbkyJFm6NChJjY21kgyKSkpZv369fXqmD59upFkbr31VpOUlGTcbrc55phjzKBBg8ycOXNa9Jo6opb8P98e2Y/Q3QyEbgAAOq6mfhkrq/Ca7XvLIvpWVuFtk/epodDt8/lMVlaWmTt3romOjjaWZZl//etf9a5dtmyZ+eCDD4zXG1zLmjVrzFFHHWUkmSVLlgQdqw5fdrvdxMbGmjfffDNwrLS01BhjzP/+9z8jyQwfPrzBmh966CEjyfzsZz8L2n/TTTcZSaZHjx7myy+/DOzfvHmzGTRokJFkzjvvvAbrcTgcJiEhIRASjTFm9+7dZvjw4UaSueWWW+rV0VhA/fWvf20kmdTUVLNw4cKgY1lZWWb27NkNvq6GVIdup9NpJk2aZLKysgLH3nrrrUAI/Oabb4KuW7NmjXG73SYqKso8+eSTxufzBV2XkJBg7Ha7Wb16dbNeU7W6obtadfD98MMPG7yuOT/3r776yjgcDiPJPPDAA4Gay8vLza9+9SsjySQmJppdu3Y1+NxOp9Ncc801gX/zfr/f3HLLLYG/E3X/njbmiy++CHwpsGHDhqBjBQUF5qmnnjI7duxo1vtS2//93/8F/fyqX/sf/vAHI8mccMIJ9a6pDt12u938+Mc/DvqSiS8UQx+6mUgNAACgETmFlXp26a5Ql9Eqsyb3UO9Ue5s93syZMzVz5sx6+8eMGaN7771Xp512Wr1jEydObPCxhg8frscff1ynnHKKXnrpJU2ePLneOT6fT7///e/14x//OLAvOjpaknTyyScrMzNTX3/9tVavXq2RI0cGXTt//nxJCpr4rbCwUH/7298kSX/96191zDHHBI71799fzz//vMaOHatXX31Vf/zjH9WvX7+gx/R6vZo9e7ZOP/30wL5u3brp3nvv1Y9//GMtXLhQ9913X4Ovt7Zdu3YFury/9tprOv7444OO9+jR45C6BTscDr300kvq0aNHYN+ZZ56ps846S6+99poWLlyoQYMGBY7dfffdqqio0KOPPqpf/OIXQY915pln6g9/+IOuvfZaPfbYY3rmmWdaXM+haurn/uCDD8rr9eqss87Sb3/728Bxt9utJ554QkuXLtX69ev1t7/9Tb///e/rPfbgwYP16KOPymarGmlrWZbuuecezZ8/X7t27dLXX3+to48++qA1bt68WZL0s5/9TEcddVTQsYSEBF1++eUtf+GSrrjiinr7oqOjddttt2nhwoVasmSJsrKylJGRUe+8rl27asGCBYqNjQ3si4qKOqQ60HYY0w0AAIBmO/LIIzVhwoTAbeDAgXK73fryyy81d+5c5efnN3hdUVGRnnrqKU2fPl2nnXaajj/+eE2cOFG33nqrJGnNmjWNPuell17a4H7LsjR9+nRJNQG72urVq/X111+rW7dumjJlSmD/xx9/rNLSUvXu3VtnnXVWvcccM2aMxo8fL2OM/ve//zX4vJdddlmD10lqdFx3Xe+8844qKys1bty4eoG7NaZMmaKePXs2qz6Px6N33nlHdru93oz01apDb/VY7MOpsZ/7+++/L0m69tpr6x2zLEvXXXdd0Hl1zZo1KxC4qzmdTo0YMUJS83+GvXr1kiQtXrxYeXl5zbqmub744gvdeuut+vGPf6zJkydr4sSJmjhxor799ltJ0tdff93gdT/96U+DAjfCAy3dAAAAaLaGlgzbv3+/rr/+ej3//PM67bTT9NlnnwVNelW9pNiuXY33GmgstKSmpio1NbXR62bOnKnf//73WrBggf785z/L4aj69bY6hF988cWy22ta+qtDy6BBgxqdCGzIkCH69NNPA+fWrScxMbHe/uq1y4uLixuttbbqyb7GjRvXrPObq27LfLWG6vv2229VXl4ul8ulqVOnNnidMUaSlJWV1aZ1HkxjP/f9+/dr7969kqparBsyZMgQSWrw5ye17D1qyvjx43Xsscdq5cqV6tWrl0499VRNmjRJkydP1jHHHNPkRHONMcbommuu0dy5c5s8r7F/L3Vb3BEeCN0AAACNSEtwatbkHgc/MYylJTjb/TmSkpL05JNPavHixfriiy/05ptv6ic/+Ymkqm7C5513nnbt2qWpU6fqlltu0ZAhQ5SUlCS73a7vvvtORx55pCorKxt87IO12vXp00cnnXSSFi9erIULF+rMM8+U1+vVggULJKneFwTVgao6YDUkPT1dUlXrfHPrqdtyejCFhYWSqt67tnSw+qpDtCQVFBRIqmrxXr58eZOPW15e3kYVNk9jr6N2IG7sZ9jUz6+px27oPWqKzWbTwoULdffdd+vFF1/Um2++qTfffFNS1d/LOXPmNNqDoDEvvPCC5s6dq9jYWP35z3/WqaeeqoyMjEDX+osvvlgvvfTSIf97QWgQugEAABoR5bK36XjojsztduuYY45RVlaWPvvss0Do/uyzz/Tdd9+pT58+eu211+R2u4Ou27lzZ6ufe9asWVq8eLHmz5+vM888UwsXLlROTo5Gjx4daPWsFhcXJ0nKyclp9PGqlyCLj49vdW2NqX7s6iWlQqH6vcjIyNAPP/xwSI9hjGmwRbekpKRVtTWmumap6mfYvXv3euccjp9ftS5duuiRRx7Rww8/rDVr1uijjz7SG2+8oQ8//FAzZ85UXFycfvaznzX78V566SVJ0kMPPaQrr7yy3vG2+PeCw48x3QAAAGgTfr9fUnDX1+p1mkeNGlUvcEtNj+VurnPOOUdJSUl6++23lZeXF1jzuaFWxgEDBkiq6t7dWIvm+vXrg85tD9VfBqxYsaLdnuNgjjzySDmdTu3evbvFY5KrW1Sru3rXVlBQoH379jV43aF0ua4tKSlJXbt2lSRt2LChwXMOx8+vLsuyNHLkSF133XX64IMPAnMVPPXUU/XOa0r1v5fjjjuu3rHKyspG1yBHeCN0AwAAoNXKy8v11VdfSZKOOOKIwP7qbrHVrY+1VVZW6pFHHmn1c0dFRemCCy6Qx+PRE088of/85z9yuVy64IIL6p07ceJExcTEaOfOnYGuwLV98cUX+vTTT2VZlk499dRW19aYqVOnyul0asWKFQft2t1eYmJi9KMf/Uh+v1+PPfZYi66t/hl//vnn9Y49/fTTjV5X/fehrKysRc9X249+9CNJ0uOPP17vmDEmsL/6vFCoHqtfdx6Dg73+pv69PPfccw1+yYHwR+gGAABAq+Tn5+sXv/iFdu3aJZfLpfPOOy9wbNy4cXI4HFq+fLmef/75wP6CggJddNFFDYaLQzFr1ixJ0j333COPx6Mf//jHSk5OrndeQkKCrrrqKknSNddcE/iiQJK2bNkSmA39vPPOa3TCrbbQvXt3XXPNNZKqWurrzrS9a9euBpe7amv33HOP3G637r33Xt133331wuDu3bv16KOP6u9//3vQ/uol0+64446gn+G7776r3//+94EJ7eqqDuutmQ39pptuksPh0JtvvqmHHnoo0MPC4/Ho+uuv17p165SYmBj4ObeXl156Sffcc0+gdbpabm5u4EuM2kvSSQd//dXL691xxx1BAfvdd9/Vb3/7W5b/ilRttuJ3B9YeC6QDAIDwUFZWZjZs2GDKyspCXUpY69Onj5FkjjzySDNhwoTAbdCgQcbtdhtJxuFwmOeee67etb/5zW+MJCPJ9O7d24waNcpER0cbp9Np/va3vxlJpk+fPkHXbN26tcH9TRk+fHjgef7zn/80el5paak58cQTA+cOHjzYjBgxwtjtdiPJjBgxwuzbt6/F9VQ/XnP3l5eXm7POOitwvEePHmbMmDGmZ8+exrKsBq9pzOzZs40kM3v27AaPP/fcc0aSmT59er1jr732momJiTGSTFRUlBk5cqQZO3as6dWrV6C2W265JeianJwc061bNyPJuN1uM3LkSJOZmWkkmVtvvTXw92Xr1q1B13300UeBxxwwYICZNGmSmTx5slm4cKExpvk/97lz5wbeo/T0dDNmzBiTlJQUqKehn//kyZONJPPhhx82+JjTp083khr8O9yQhx9+OPBaMjIyzJgxY8zQoUONy+UK7Nu+fXvQNc8//3zgmqFDh5rJkyebyZMnm6+++soYY8z27dtNcnKykWSio6OD3tcTTzzRXHTRRQ3W2NLaO5uW/D/fHtmPlm4AAAA02+bNm7V8+fLAbevWrcrIyNDMmTP1xRdfNDiO+oEHHtAjjzyiQYMGKTs7W9u3b9cpp5yiZcuWBa2h3VrVz113be66oqOj9d577+nRRx/V6NGjtX37dn377bcaPHiw7r33Xn3yySdKSUlps7oa43a79frrr+ull17SySefrPLycq1Zs0Y2m01Tp04N6hnQns4++2xt2LBB119/vTIzM7Vp0yZt2LBBMTExOvvsszV//vzAGOVqXbt21fLly3XuuecqJiZGmzZtUpcuXfTcc8/pT3/6U6PPdfzxx2vBggUaO3assrKy9NFHH2np0qXKzs5uUc1XXXWVli1bpp/85Cfy+/1avXq1YmJidPHFF2vVqlWaNm3aIb0XLfHTn/5U999/v0499VTZ7XatXbtWu3fv1tChQ3Xvvfdq3bp16t27d9A1l1xyiR599FENHz5cW7Zs0dKlS7V06dLAhHq9e/fWp59+qnPOOUcul0sbN25UVFSU7r77br377ruN9iBAeLOMaeac+J1YYWGhEhMTVVBQoISEhFCXAwAA2lB5ebm2bt2qvn370nUzwt166626//779Zvf/EZ//vOfQ10OgDDRkv/n2yP70dINAACAiFdZWRloGZ45c2aIqwGAGoRuAAAARLzHHntMu3fv1uTJkzV48OBQlwMAAQwKAAAAQETKzs7W+eefr9zcXK1bt042m01/+MMfQl0WAAShpRsAAAARqby8XEuXLtWmTZs0ZMgQvfLKK5owYUKoywKAILR0AwAAICJlZmaKOYEBhDtaugEAAAAAaCeEbgAAAAAA2knEhe4PPvhAs2bN0qBBgxQbG6uMjAydddZZ+vLLLw967bx582RZVoO37Ozsw1A9AAAAAKAzibgx3X/729+Um5ur66+/XoMHD9bevXv10EMPady4cXrvvfd00kknHfQxnnvuOQ0aNChoX0pKSnuVDAAAIgBjgwGgYwr1/+8RF7r/+te/Ki0tLWjflClT1L9/f/3xj39sVugeOnSoRo8e3V4lAgCACGK32yVJlZWVio6ODnE1AIC2VllZKanm//vDLeK6l9cN3JIUFxenwYMHa+fOnSGoCAAARDKn0ym3262CgoKQt4YAANqWMUYFBQVyu91yOp0hqSHiWrobUlBQoFWrVjWrlVuSzjjjDO3du1eJiYk64YQT9Pvf/15Dhw496HWDBg2SzVbzPcWNN96oG2+88ZDrBgAA4SE1NVVZWVn64YcflJiYKKfTKcuyQl0WAOAQGWNUWVmpgoICFRcXKyMjI2S1dIjQffXVV6ukpES33357k+d169ZNt99+u8aNG6eEhAStXbtW9913n8aNG6fly5drxIgRTV6/e/fuoO3CwsJW1w4AAEIvISFBkrRv3z5lZWWFuBoAQFtxu93KyMgI/D8fChEfuu+880699NJLevzxxzVq1Kgmz50yZYqmTJkS2J40aZKmTZumYcOG6a677tKbb77Z5PXdu3cPaukO5Q8OAAC0rYSEBCUkJKiyslI+ny/U5QAAWslut4esS3ltER267777bt177736wx/+oGuuueaQHiMzM1MTJ07UihUrDnruxo0bCdoAAHRwTqczLH5JAwB0DBE3kVq1u+++W3PmzNGcOXN02223teqxjDFBLdgAAAAAALSFiEya99xzj+bMmaM77rhDs2fPbtVjbd26VcuXL9e4cePaqDoAAAAAAKpEXPfyhx56SHfddZemTJmiadOm1esWXh2eL7vsMs2fP19btmxRnz59JEmnnHKKJk2apOHDhwcmUnvggQdkWZbuueeew/5aAAAAAAAdW8SF7rfffluS9O677+rdd9+td7x6fU2fzyefzxe03uawYcP0z3/+Uw8++KDKysqUlpamk046SXfeeacGDBhweF4AAAAAAKDTsEztVIoGFRYWKjExUQUFBUykBgAAAAAdVHtkv4gc0w0AAAAAQCQgdAMAAAAA0E4I3QAAAAAAtBNCNwAAAAAA7YTQDQAAAABAOyF0AwAAAADQTgjdAAAAAAC0E0I3AAAAAADthNANAAAAAEA7IXQDAAAAANBOCN0AAAAAALQTQjcAAAAAAO2E0A0AAAAAQDshdAMAAAAA0E4I3QAAAAAAtBNCNwAAAAAA7YTQDQAAAABAOyF0AwAAAADQTgjdAAAAAAC0E0I3AAAAAADthNANAAAAAEA7IXQDAAAAANBOCN0AAAAAALQTR6gLAAC0n3U7i7V9X7ksS7JkyWaTLEmWZclmqd5+l8Mmt9Mmt8OmKFfVn26npagD+xx2S5ZlhfplAQAARAxCNwB0YNv2luuLrYVt9ng2y1KM266EaLsSoh1KiLYrMdpRcz/Gofhoh+w2gjkAAIBE6AaADs208eP5jVFxuVfF5V7tyq9o8BxLluKi7EpLcCot0aX0BJfSE11KjXfK6WBUEwAA6FwI3QDQgUU5bUqIdsiYqsBsTFUQ9/uNjFS1bYz85sD9NojpRkZF5V4VlXu1JacssN+SpZR4p9ISnEpPdKlboku9UqIU47a3+jkBAADClWWMaeuGkA6nsLBQiYmJKigoUEJCQqjLAYB2YYxRpc+ootKvCq9f5Z6qPysqjcorq+/7VVLhU0GpV4VlPhWWeVXq8R3yc1qylJ7oUmbXKPXtGqU+qVGKchHCAQBAaLRH9qOlGwAgqWpyNZfDksthU3wLrqv0+gMBvCqMe5VX4tWeAo/2Fnrk9Tf+3a6RUXZBhbILKrTiuwJZstS9i0uZqVHqmxat3ilRcjvpkg4AACIXoRsA0CpOh00p8TalxDvrHfP7jfJKKrWnwKOcgkrtKfQop8Cj/BJvg13ZjYx25VdoV36FPtlcIIfN0oDuMRrWK05HdouWw04ABwAAkYXQDQBoNzabpdR4l1LjXRrSs2a/x+vXD3kV2ppTpm37ypWVVyF/A6OdvH6jDVkl2pBVIrfDpqMyYjWsV6z6do2WjRnSAQBABCB0AwAOO5fDpiPSonVEWrSkqhC+Y1+5tu4t17a9ZdqV76nXEl7h9Wv19iKt3l6kWLddQ3rGanivOGUku1k7HAAAhC0mUmsGJlIDgMOr3OPT1r3lWvdDiTbtKmlyXHivlChNHJCoAd1jCN8AAKBV2iP7EbqbgdANAKFTUenXxl0lWvdDibbsKWuwG7okdY13aeLARA3tFSc7Xc8BAMAhIHSHCKEbAMJDSblPG7JKtO6HYm3fV97gOYkxDo3vn6hj+sbL5WDiNQAA0HyE7hAhdANA+MktqtQnmwu0enuRfA10P4922XXckYkaf2QCs54DAIBmIXSHCKEbAMJXUZlXK74r1BffF6rC6693PCXOqTOOTlXfA5O2AQAANIbQHSKEbgAIf+Uen77YWqQV3xWquNxb7/iI3vE6bViyYqPsIagOAABEAkJ3iBC6ASByeH1+rd5erA835Kukwhd0LNpl1ylDu+iYzHhmOgcAAPW0R/ZjkBsAoENx2G0afUSCrjmtp0b3Df6wLPP49PaqfXp26W7tKfCEqEIAANCZELoBAB1StMuuM45J1WUn9FB6oivo2M7ccj35QZZWbS0KUXUAAKCzIHQDADq0XilRuuKkDJ02LEXOWrOY+/xGb63aq4Wrc+VvYPZzAACAtkDoBgB0eHabpeMGJOrqUzM0oFtM0LGVWwr04vJslXl8jVwNAABw6AjdAIBOIynWqQuOS9cpQ5NlqWYite9zyvTUB7u0t5Bx3gAAoG0RugEAnYplWZo4MEkXHJcut6PmYzCvpFJPf7hL3+4uDWF1AACgoyF0AwA6pQHdY3T5iT2UHOsM7Kvw+vXyJ3u08ruCEFYGAAA6EkI3AKDT6prg0i9O6qEj0qID+4yMFq7J1ZrtzGwOAABaj9ANAOjUol12XTyhm8b1Twza/+aX++hqDgAAWo3QDQDo9Gw2S1NGpGjSoKTAPr8xenVljnbsKw9dYQAAIOIRugEAOODEwV00qm9CYLvS59eCT7K1p4BZzQEAwKEhdANAB5Tn8ejdnL0q8npDXUpEsSxL00am6KgesYF95ZV+vfhxtvaXVIawMgAAEKkI3QDQAb2/N1enr/hSXRYu1tiPPtVv1m/U29k52l9JcDwYm83ST8d2Vd+uNZOrFZV79fyybJWU+0JYGQAAiESWMcaEuohwV1hYqMTERBUUFCghIeHgFwBAiF21Zr3+vn1nvf02SWO6JOrUrqk6JTVF45OT5LLx/WtDKir9mvfRbu3eXxHY1z89RhdNSJdlWSGsDAAAtJf2yH78pgUAHdCyvPwG9/slrcwv0L3fbtEJn3ymbu99qMtXr9Oivfvk9fsPb5Fhzu206aIJ6UHreH+3p1RfbSsOYVUAACDS0NLdDLR0A4g0+Z5KfZyXr6W5eVqam6dV+wt1sEid5nLp5xnddEnPDI1OSqA194C9hR793+Isef1VH5duh01XnZKhpFphHAAAdAztkf0I3c1A6AYQ6Qorvfo4L1+L9+Zq0b5cfV1Y1OT5A2JjdGmvDF3eu6fSo9yHqcrw9cm3BXp/bW5gu2/XaF16fDe+mAAAoIMhdIcIoRtAR7OnvELv5OzVP7OytWhfrnyNfBQ4LUs/69FNV2f21nHJSZ02ZPr9RvM+2q0duTVrdk8dmaqx/fhMAACgIyF0hwihG0BHtrfCo3/tytaCrN36uJGx4JI0vkuS7hrYTz/qmtopw3decaX+tihLlb6qjvpOe1U38+Q4upkDANBRELpDhNANoLP4vqRUC7J267kdP+j70rIGzxmdlKA5A/tralrXThe+P9tSqHdW7wts906J0oxJ3WWzda73AQCAjorZywEA7eqI2BjdMaCfNp88Se8cO0rT0ruqbpz8Yn+hzli5SpOWf6bluY23jHdEY46ID1q/e0duub7c2vT4eAAA0LkRugEA9dgsS6end9V/jh2lzSdP0uW9e8pRp1X747x8TVy+Umd9tkpbSkpDVOnhZVmWzhqVKpej5uPzo4375fWx3BoAAGgYoRsA0KR+sTF6auRQfXfyJF2V2UvOOuH7rewcDfnwY83ZuFllPl+Iqjx8kmKdmjQoKbBdVO7VKtbuBgAAjSB0AwCapU9MtOYOH6KNJx2vizK6B3U7r/D7dfe3WzTkw4+1eG9uo4/RUYztl6AYlz2w/fEmWrsBAEDDCN0AgBY5IjZGL44aoa8mH6cTUpKDjm0tLdMpn36uq7/eoGKvN0QVtj+Xw6bxRyYGtgvLvPqK1m4AANAAQjcA4JCMSEzQB8eN0YJjhqu72x10bO62HRqxZLk+y98fmuIOg7H9EhRdu7X7W1q7AQBAfYRuAMAhsyxLF/TsoY0nHa+rMnsFHfu+tEzHL1+pp7fvDFF17cvttOm4Wq3dBaVerd5OazcAAAhG6AYAtFqC06G5w4fof+NHq1d0VGC/x2/0izXrdcWadarogK3AdVu7l23aL5/fhLAiAAAQbgjdAIA2c0rXVK09YYLO7dEtaP9T23/QaSs+V67HE6LK2ofbadP4/gmB7arWbtbtBgAANQjdAIA2leh06p+jRujPgwcGfch8lJuv8ctWaHNxSchqaw91W7tXflcoY2jtBgAAVQjdAIA2Z1mWftO/r94fP0ZdnM7A/s0lpRq3bIW+2F8QwuraVpTLrtF94wPbOYUe7SnoWC36AADg0BG6AQDt5uSuKfr0+GPVLyYmsC+vslKnfvp5hwreI/rEBW2v2cGEagAAoAqhGwDQrgbGxWnF8eM0ITkpsG9/pbdDBe/UeJcyutQsm7Z2Z4n8TKgGAABE6AYAHAapbpfeHzdGJ6YmB/btr/TqtE+/0PrCjjHx2Ig+NV3Mi8u9+j6nLITVAACAcBFxofuDDz7QrFmzNGjQIMXGxiojI0NnnXWWvvzyy2Zdn5OToxkzZig1NVUxMTEaP368Fi9e3M5VAwBiHHb9Z+yooOCdX1mpH634QttLIz+gDu0ZK5tlBba/3kkXcwAAEIGh+29/+5u2bdum66+/Xu+8844effRR5eTkaNy4cfrggw+avLaiokInn3yyFi9erEcffVRvvvmm0tPTNWXKFC1duvQwvQIA6Lyqg/eklC6BfVnlFTrt08+1tyKyJx+Lcdt1ZLfowPY3WaXyeDve2uQAAKBlLBNh65rk5OQoLS0taF9xcbH69++voUOHatGiRY1eO3fuXF199dX65JNPNH78eEmS1+vViBEjFBcXp5UrVzZ4XWFhoRITE1VQUKCEhIQGzwEANF9BZaUmL/9Ma2p1LZ+U0kWLxo+R0xZx3wcHrP+hWK+uzAlsnz26a1C3cwAAEN7aI/tF3G82dQO3JMXFxWnw4MHauXNnk9e+/vrrGjhwYCBwS5LD4dDFF1+szz77TFlZWW1eLwCgvkSnU++NG63+sTWzmn+Um6+bN2wKYVWtN7B7jKKcNR+tzGIOAAAiLnQ3pKCgQKtWrdKQIUOaPG/dunUaPnx4vf3V+9avX9/k9YMGDVLPnj0Dt7/85S+HXjQAdHLpUW4tPHaUEh2OwL5Hvt+uBT/sCmFVreOw2zQ4IzawvTWnXIWl3hBWBAAAQq1DhO6rr75aJSUluv3225s8Lzc3V8nJyfX2V+/Lzc1t8vrdu3crKysrcCssLDz0ogEA6h8Xq5dGBX8ZesWa9fquuCREFbXeiN41a3YbGa1lQjUAADq1iA/dd955p1566SU9/PDDGjVq1EHPt2rNLNuSY5LUvXt3ZWRkBG6M7waA1puWnqY5A/sHtkt8Pl381dfy+iNzErLeqVFKinEGtpnFHACAzs1x8FPC19133617771Xf/jDH3TNNdcc9PyUlJQGW7Pz8vIkqcFW8No2btxI0AaAdnDngH5ampunD/dV/X+8Mr9Af9z8ve6qFcYjhWVZGt47Vh9t3C9J2lPgUfb+CnVLcoe2MAAAEBIR29J99913a86cOZozZ45uu+22Zl0zbNgwrV27tt7+6n1Dhw5t0xoBAM1jsyzNGzksaHz377/donW1ZjePJMNrdTGXpK+ZUA0AgE4rIkP3Pffcozlz5uiOO+7Q7Nmzm33d2WefrY0bNwYtDeb1evXiiy/q2GOPVY8ePdqjXABAM/SOidZfhw8ObPuM0Q3rNirCVraUJKXGu5TRpaZl+9vsshBWAwAAQiniQvdDDz2ku+66S1OmTNG0adO0YsWKoFu1yy67TA6HQ9u3bw/smzVrloYMGaJzzz1XCxYs0KJFi3Teeedp06ZNuv/++0PxcgAAtVyY0V1T07oGthfty9V/9uwNYUWHbkD3muXQ9hV5VFzOLOYAAHRGETem++2335Ykvfvuu3r33XfrHa9uEfH5fPL5fEEtJG63W4sXL9bNN9+sa6+9VqWlpRo5cqQWLlyoyZMnH54XAABolGVZ+svQgXr/w33yHvj/+8b1G/WjtFS5bJH1PXFmalTQ9ra95RraK66RswEAQEdlmUjst3eYFRYWKjExUQUFBUykBgCHwQ3rvtEj39f0VHpoyEDd2K9vCCtqOa/Pr/vf3qFKX9Us7KP7JuiMY1JDXBUAAGhKe2S/yGo2AAB0CncN6K8UV82yW7/ftEV7KzwhrKjlHHabeqXUjOveupdx3QAAdEaEbgBA2Onicur3A48MbBd4vZq9aXMIKzo0tbuY5xZXqqiMcd0AAHQ2hG4AQFi6ok9PDYmvGQP9f9t2amNRZC29ldk1Omh7297yEFUCAABChdANAAhLDptNDw8ZFNj2S/rzlq2hK+gQZCS75bTXfNTSxRwAgM6H0A0ACFunpqVqUkqXwPYLO3cpqyxyWovtNku9a43rpqUbAIDOh9ANAAhrt/Q/InC/0hg9/P220BVzCGp3Mc8rqVRhKeO6AQDoTAjdAICwdnpaqobVGdtdWBk5wTWza531uvfR2g0AQGdC6AYAhDXLsnRzrdbuYp9PL/6wK4QVtUyPLm65HLXGdecwrhsAgM6E0A0ACHvnZXRTmssV2J67bYeMMSGsqPmqxnXXtHbT0g0AQOdC6AYAhD2XzaZf9OkZ2F5fVKyPcvNDWFHL1O5inl9SqQLGdQMA0GkQugEAEeGKPr2CPrT+vn1HyGppqczUOuO6WToMAIBOg9ANAIgIvWOidWa3tMD267tztL+yMoQVNV+9cd0sHQYAQKdB6AYARIyZvTIC9yv8fr2SlR3CaprPZrPUp1Zr93bGdQMA0Gk4WnLyrFmz2qWIxMREPfzww+3y2ACAjuP09K5KdTm1z1PVwj1/Z5auyOwV4qqap2eyW5uzSyVVjev2eP1Brd8AAKBjalHonjdvnizLatMZYy3LUnp6OqEbAHBQLptNF/XsoUe/3y5J+iR/v74rLlH/uNgQV3ZwXeNdQdt5xZXqluQOUTUAAOBwaVHolqSoqCidd955bVbA/Pnz2+yxAAAd36W1QrckvZGdo9/07xvCiponJd4ZtL2viNANAEBn0OLQnZiYqOeee67NCiB0AwBa4ujEBGXGRGtbadUM4G/viZDQHeeQJUtGVb3F9hVFxiRwAACgdRhMBgCIKJZl6cz0roHtj3PzlevxhLCi5nHYbUqKrfmum9ANAEDn0KKW7uuuu06JiYltWkB7PCYAoGP7cbc0Pb61ap1uv6R39uzVJbVmNg9XqfFO5ZdUhe3cYkI3AACdQYtC9yOPPNLmBbTHYwIAOrZJKclKcDhU6PVKkv4TIaE7Jc6pzQfu7yuqlDFGlmWFtCYAANC+6F4OAIg4LptNp3ZNCWy/v3efvH5/CCtqntRak6lV+vwqLPOFsBoAAHA4ELoBABHp9LSacd37K71amV8QwmqaJ7XODOZ0MQcAoOMjdAMAItKUtNSg7YU5e0NUSfPVDd1MpgYAQMdH6AYARKSM6CgNT4gPbL+bsy+E1TRPrNsut6Pmo3dfUfjPug4AAFqH0A0AiFin1RrXvbqwSGW+8B4jbVlWUGs3Ld0AAHR8hG4AQMQa1yUpcN9njFbtLwxdMc2UGu8K3GdMNwAAHR+hGwAQsY6tFbol6bP9kTWZWkGpVx5v+M+6DgAADt1hCd0bN27UpZdeqvT0dNntdqWnp+vSSy/Vpk2bDsfTAwA6qIwot7q73YHtz/bvD10xzZQSV2cGc7qYAwDQobV76P73v/+to48+WtnZ2br//vv17rvv6v7771d2draOPvpovfbaa+1dAgCgg7IsS2O7JAa2I3HZMMZ1AwDQsTna88HXrFmjSy65RA8++KCuvvrqoGMzZszQE088oYsvvlgrV67UsGHD2rMUAEAHNTYpUW9m50iStpaWKc/jUbLLdZCrQic5ziFLloyMJMZ1AwDQ0bVrS/cdd9yhiy++uF7grnbNNdfooosu0u23396eZQAAOrDRSYlB21+G+WRqDrtNSbE133kTugEA6NjaraW7vLxc//vf//Tll18G9pWVlenzzz+XJE2aNEmSdP3112v06NGqqKiQu9a4PAAAmmNUUkLQ9hcFBTo1LTVE1TRPfJRd+SVVYbu0IryXOQMAAK3TbqF7z549qqys1IABAwL7duzYoRNOOEGWZcl3YC3VgQMHyuPxKDs7W3369GmvcgAAHVSKy6W+MdHaWlomSfoizFu6JSnaVdPRrKyS2csBAOjI2i10x8fHyxij/Px8paWlSZKSk5N13XXXybKswHl5eXmyLEsJCQmNPRQAAE0anZQYCN1fRsCyYTEue+B+mYfQDQBAR9ZuY7qTk5M1cOBAvfHGG4F9Xbt21SOPPKKHH344sO+NN97QwIED1aVLl/YqBQDQwQ1PiA/c315WrjJfeHfZDmrp9oR3rQAAoHXadSK1m266SXfccYe+//77Bo9/9913uvPOO3XTTTe1ZxkAgA5uQGxM0Pbm4tIQVdI80bVaussr/fL7TQirAQAA7aldQ/fll1+uk046Sccdd5xefvlleTweSZLH49GCBQs0ceJEnXLKKbrsssvaswwAQAc3MC42aPvbkpIQVdI8tVu6JbqYAwDQkbVr6Jakl19+Wb/85S91+eWXKzExUb169VJSUpKuuOIKXXXVVXrppZfauwQAQAfXv05L97fF4R26a4/plqSySrqYAwDQUbXbRGrVLMvSnDlzdNNNN+mjjz5STk6O0tLSNGnSJMXHxx/8AQAAOIhYh0M9o6L0Q3m5JFq6AQBA+Gj30F0tPj5e06ZNO1xPBwDoZAbExQRC96Ywb+muG7pZqxsAgI6r3buXAwBwONQe1/1tBE2kJtHSDQBAR0boBgB0CANia0J3XmWlcg9M3hmOYup2L68kdAMA0FERugEAHcIRdSZT215aFqJKDs5ht+SwWYFt1uoGAKDjInQDADqEPtFRQdvby8pDVMnBWZYV1MW8tIKWbgAAOipCNwCgQ+gTEx20vS2MW7ql4MnU6F4OAEDH1eLZy3fs2NEmT9y7d+82eRwAACQpyelUgsOhQq9XkrS9LLxDd+21uuleDgBAx9Xi0J2ZmSnLsg5+YhMsy5L3wC9FAAC0lcyYaH1dWCQpvMd0S3Vaupm9HACADuuQupcbY1p9AwCgrdUe1x3OY7olQjcAAJ1Fi1u6paqW6szMTM2YMUOTJk1q65oAADgktcd1h/+Y7loTqdG9HACADqvFofv000/X+++/r61bt2rOnDk64ogjNHPmTE2fPl0ZGRntUSMAAM3SJ7omdOdXVqrI61W845C+X253tVu6PV6/fH4ju611w7cAAED4aXH38v/+97/asWOH/vjHP+rII4/Uli1bdOeddyozM1Onn366Xn31VXk8nvaoFQCAJvWIcgdt760I388jR52A7fcz9AoAgI7okMZ0d+/eXbfeeqs2btyoZcuWacaMGYqOjtZ7772n888/X927d9d1112nVatWtXW9AAA0KsXlDNrO9VSGqJKWI3IDANAxtXqd7gkTJuiZZ55Rdna2nnnmGU2YMEH5+fl64oknNGbMGI0YMUKPPfaYcnNz26JeAAAaleJyBW3vC+OeV61cCAQAAESIVofuajExMZo5c6Y++ugjbd68Wb/73e+UkZGhtWvX6oYbbtD999/fVk8FAECDUiO5pZumbgAAOqQ2C9219evXTzNnztSFF14oV51WBwAA2kvdlu7cynBu6aapGwCAzqBNp3QtLS3VK6+8omeffVbLly+XVLWm97Bhw3TyySe35VMBAFBPnN0up2Wp8kCz8b4wbumuG7kNTd0AAHRIbRK6P/74Yz377LP617/+pZKSEhlj1KVLF11wwQWaOXOmRo0a1RZPAwBAkyzLUqrLpd0VFZKk3DAe010XkRsAgI7pkEN3VlaW5s+fr3nz5mnLli0yxshms+nUU0/VzJkzdfbZZ9O1HABw2KW4nLVCdxi3dNO7HACATqHFofuVV17Rc889p0WLFsnv98sYo379+mnGjBmaPn26evbs2R51AgDQLLWXDQvn0F0XvcsBAOiYWhy6zz//fFmWpZiYGJ177rmaOXOmjj/++PaoDQCAFotz1Hy0lfp8IaykabR0AwDQORxy9/KYmBgtWbJES5YsafG1lmVpy5Yth/rUAAA0KsZuD9wvCePQXRct3QAAdEyHFLqNMdq7d6/27t17SE/KMikAgPYSWyt0h3VLd735ywEAQEfU4tA9e/bs9qgDAIA2ERMpobtO5jbMXw4AQIdE6AYAdCgxdlvgfok3fEN3XXQvBwCgY7Id/BQAACJH5HQvBwAAnQGhGwDQodTuXl5pjCr9/hBW03y0dAMA0DERugEAHUqMwx60XeYLz9DNnKIAAHQOLQrdb731lt5///02LaA9HhMA0HlF24JDd7h2Ma+7kgcN3QAAdEwtmkjtJz/5ibp3766srKw2K6A9HhMA0Hk5bcFhttKEZ0s3AADoHFrcvdy0w6Cz9nhMAEDn5KzTglzpD8/PmLq9y/ksBACgY2rxkmFlZWV6/vnn26MWAABazWkL/j45XFu6K33BIdthZ5A3AAAdUYtDd2FhoWbOnNketQAA0Gp1W7q9YdrS7fEGfxngcjC3KQAAHVGLQnfv3r3rTfzSFtLS0lp0flFRke655x6tXr1aX331lfbt26fZs2drzpw5B7123rx5jX5psHv3bnXr1q1FtQAAwkv9lu7wD92WLDlp6QYAoENqUejetm1bO5XRMrm5uXryySc1YsQI/eQnP9HTTz/d4sd47rnnNGjQoKB9KSkpbVUiACBEImVMt6dW93KXw2qXL7UBAEDotbh7eTjo06eP8vPzZVmW9u3bd0ihe+jQoRo9enQ7VAcACKVImb28dks3XcsBAOi4IjJ00xoAAGiM06rTvTxMW7orKoNbugEAQMfUab9aP+OMM2S325WcnKxzzjlH69atO+g1gwYNUs+ePQO3v/zlL4ehUgBASzjqtHT7ImBMNy3dAAB0XBHZ0t0a3bp10+23365x48YpISFBa9eu1X333adx48Zp+fLlGjFiRKPX7t69O2i7sLCwvcsFALRQ3ZBtD9PeUcGhOzxrBAAArdfpQveUKVM0ZcqUwPakSZM0bdo0DRs2THfddZfefPPNRq/t3r27bLVmxU1ISGjXWgEALeeNlNAdNJEaLd0AAHRUnS50NyQzM1MTJ07UihUrmjxv48aNBG0ACHP1W7pDVMhB0L0cAIDOgU/5A4wxQa3YAIDIFDndy2vqdNO9HACADouUKWnr1q1avny5xo0bF+pSAACtFCmhu6KSlm4AADqDiO1evnDhQpWUlKioqEiStGHDBv3rX/+SJE2dOlUxMTG67LLLNH/+fG3ZskV9+vSRJJ1yyimaNGmShg8fHphI7YEHHpBlWbrnnntC9noAAG3DV2ey8nAN3UykBgBA5xCxofuqq67S9u3bA9uvvvqqXn31VUlVLdeZmZny+Xzy+XwytVo9hg0bpn/+85968MEHVVZWprS0NJ100km68847NWDAgMP+OgAAbSsSWrr9fiOvn4nUAADoDFoduj0ej7Kzs+VyudStW7egY8XFxZozZ47+97//yW63a9q0abrtttsUHR3d2qfVtm3bDnrOvHnzNG/evKB9Dz/8cKufGwAQviIhdNdu5ZYI3QAAdGStDt1PP/20rr32Wk2fPl3PPvts0LFp06bp448/DrQ0r1mzRsuWLdOHH34oKwx/CQIARL76S4aFqJAm1J5ETZJc4VgkAABoE63+av29996TJF144YVB+9966y0tW7ZMlmXpoosu0uWXXy6n06lly5bphRdeaO3TAgDQoDKfL2g7xm4PUSWN8/ho6QYAoLNo9af8N998I0kaNWpU0P4FCxbIsizdcssteuGFF/Tkk0/qkUcekTFGCxYsaO3TAgDQoJJICN11W7qZSA0AgA6r1aF77969iomJUZcuXYL2f/jhh5Kkyy+/PLDvkksukVTVzRwAgPZQ4g0O3bFhGLprLxcmSW4nLd0AAHRUrf6ULykpkc0W/DDbtm3T3r171atXL/Xt2zewPzY2VklJScrLy2vt0wIA0KDaLd02SW5b+AVaJlIDAKDzaPWnfHJysoqLi7V///7Avg8++ECSdNxxx9U73+v1Ki4urrVPCwBAg2qH7liHPSwn7qygezkAAJ1Gq0P3McccI0l65plnJEl+v1/PPPOMLMvSiSeeGHTu3r17VVxcXG9pMQAA2krt7uWx9lYv0tEuSivqjDt3hV8XeAAA0DZaHbpnzJghY4xuvfVWnX766Ro7dqw+/fRTxcXF6dxzzw06d9myZZKko446qrVPCwBAg4JausNwPLckldQK3Q6bRUs3AAAdWKtD93nnnaeZM2fK5/Ppvffe06pVqxQVFaW///3vSkpKCjr3n//8Z4Mt4AAAtJXSOt3Lw1Ht0B0bFZ5d4AEAQNtok353zzzzjGbNmqVPPvlESUlJOuWUU4ImUJMkj8ejxMREXXrppZo6dWpbPC0AAPVEWks3XcsBAOjY2myw24QJEzRhwoRGj7tcLj355JNt9XQAADSoyOsN3A/X0F3qqZm9PNYdnjUCAIC2wRolAIAOpbCyJnQnOsNzIrWS8lqt8YRuAAA6tFaHbo/Hox07dig7O7veseLiYv3mN7/RiBEjdMwxx+jOO+9UWVlZa58SAIBGFdZq6U5whGnorj2m28333wAAdGSt/m3k6aef1rXXXqvp06fr2WefDTo2bdo0ffzxxzKmaj3SNWvWaNmyZfrwww+ZNAYA0C4KvOHd0u31+VXhpXs5AACdRau/Xn/vvfckSRdeeGHQ/rfeekvLli2TZVm66KKLdPnll8vpdGrZsmV64YUXWvu0AADUY4wJ6l4eji3dJRX+oG1CNwAAHVurQ/c333wjSRo1alTQ/gULFsiyLN1yyy164YUX9OSTT+qRRx6RMUYLFixo7dMCAFBPhd+vygO9q6RwDd2+oO3YKEI3AAAdWatD9969exUTE6MuXboE7f/www8lSZdffnlg3yWXXCKpqps5AABtrfZ4bklKCMPu5aV1Qzct3QAAdGitDt0lJSWy2YIfZtu2bdq7d6969eoVtF53bGyskpKSlJeX19qnBQCgnoLKOqE7Alq6Y1xMpAYAQEfW6k/65ORkFRcXa//+/YF9H3zwgSTpuOOOq3e+1+tVXFxca58WAIB66rZ0h+NEaozpBgCgc2l16D7mmGMkSc8884wkye/365lnnpFlWTrxxBODzt27d6+Ki4vVrVu31j4tAAD1RFpLt8thk9NBSzcAAB1Zqz/pZ8yYIWOMbr31Vp1++ukaO3asPv30U8XFxencc88NOnfZsmWSpKOOOqq1TwsAQD25lZVB28lOZ4gqaVzwGt20cgMA0NG1OnSfd955mjlzpnw+n9577z2tWrVKUVFR+vvf/66kpKSgc//5z3822AIOAEBbyPV4grZTXK4QVdI4QjcAAJ1Lm/S7e+aZZzRr1ix98sknSkpK0imnnBI0gZokeTweJSYm6tJLL9XUqVPb4mkBAAiS5wlu6e4ShmO6S4NCN13LAQDo6Nrst5EJEyZowoQJjR53uVx68skn2+rpAACoJ7dW6E50OOSwhV+orT2RGi3dAAB0fOH32wgAAIcot7Kme3mKK/zGc0vB3ctjCN0AAHR4hG4AQIdRu6U7HMdze7x+Vfpo6QYAoDNps9C9Zs0aXXHFFRo8eLASEhJkt9sbvTnCcAkXAEDkCw7d4dfSXbuVWyJ0AwDQGbRJ+n3iiSd04403yufzyRjTFg8JAECL1Z69PCUMlwsrKgsO3XFRhG4AADq6Vrd0r1y5Utdff718Pp9+9atf6Z133pEkJScna9GiRXrxxRc1Y8YMuVwupaamasGCBfrggw9aXTgAAHXVXqc7HLuXF5cHh+54QjcAAB1eq1u6H3vsMRlj9Otf/1p/+ctfAvtdLpdOOukkSdKFF16o6667Tj/60Y905513atWqVa19WgAAgnj9/qAlw1LDsHt5Ubk3aJuWbgAAOr5Wt3QvX75clmXp+uuvD9pft5v5yJEj9fjjj2vLli3685//3NqnBQAgyD5PpWp/8nSLcoeslsbUbul22CxFOZnPFACAjq7Vn/Z79uyR2+1Wnz59ah7UZlN5eXm9c88++2w5nU699tprrX1aAACCZFdUBG13c4df6C6qFbrjox2yLCuE1QAAgMOh1aE7JiZGzjqT1cTHx6uwsFAVdX4BcjqdiomJ0fbt21v7tAAABNlT5zMn3R1+Y7qLymq6l9O1HACAzqHVoTsjI0PFxcUqLCwM7OvXr58k6fPPPw86d9euXSooKGCGcwBAm8su9wRth2NLd3GtJcOYRA0AgM6h1aF7+PDhkqRNmzYF9p1wwgkyxuj3v/99oJu5x+PRddddJ0kaNmxYa58WAIAgdVu608KypbsmdNPSDQBA59Dq0H3GGWfIGKN//vOfgX1XX3213G63Fi9erJ49e2rChAnKyMjQ66+/LsuydM0117T2aQEACFJ7THeS06Eoe3iFWp/fqNRTu6W71QuIAACACNDq0D116lTNnj1bRx55ZGBf3759tWDBAsXHxysvL0+ffvqpcnNzZVmWbr75Zl100UWtfVoAAILsqajpXp4ejl3LWaMbAIBOqdVfsyckJGj27Nn19p999tmaPHmy3nnnHe3cuVOJiYk67bTT1L9//9Y+JQAA9dQO3d3Csms5a3QDANAZtWvftuTkZF188cXt+RQAAEgK7l4eli3dFXVauqPpXg4AQGfQ6u7lAACEg5yg7uXh2NIdHLrj3LR0AwDQGbT4a/YdO3a0yRP37t27TR4HAACfMdrnqQndaeHY0l1rTLfNshTj5ntvAAA6gxaH7szMTFmW1aontSxLXq/34CcCANAMuR6PTK3tNFcYtnSX13zuxUXZW/1ZCgAAIsMhDSgzxhz8JAAADpPaXcul8Fyju3ZLNzOXAwDQeRxS6LYsS5mZmZoxY4YmTZrU1jUBANAikRC6i2qHbiZRAwCg02jxp/7pp5+u999/X1u3btWcOXN0xBFHaObMmZo+fboyMjLao0YAAJqU46kTusOye3lN6GYSNQAAOo8Wz+Ly3//+Vzt27NAf//hHHXnkkdqyZYvuvPNOZWZm6vTTT9err74qT51ffgAAaE85tZYLk8JvIjW/36gkqKWb0A0AQGdxSFOndu/eXbfeeqs2btyoZcuWacaMGYqOjtZ7772n888/X927d9d1112nVatWtXW9AADUU7t7udtmU7wjvEJtSYVPptZUb3GM6QYAoNNo9XolEyZM0DPPPKPs7Gw988wzmjBhgvLz8/XEE09ozJgxGjFihB577DHl5ua2Rb0AANSTE7RcmCvsZgavPYmaJMVHMaYbAIDOos0WCY2JidHMmTP10UcfafPmzfrd736njIwMrV27VjfccIPuv//+tnoqAACC7KnV0h2O47lLKoJDdyxjugEA6DTaLHTX1q9fP82cOVMXXnihXGH4yw8AoGPJLq8Z090tKrzGc0sNhe52+fgFAABhqE37t5WWluqVV17Rs88+q+XLl0uqWtN72LBhOvnkk9vyqQAACNhTayK1bmE2iZoklVT4g7Zp6QYAoPNok9D98ccf69lnn9W//vUvlZSUyBijLl266IILLtDMmTM1atSotngaAADqMcYou1b38vQwXKO71FPT0u1y2OR00NINAEBnccihOysrS/Pnz9e8efO0ZcsWGWNks9l06qmnaubMmTr77LPpWg4AaHcFXq8q/DUtyWHZ0l1rIrUYF63cAAB0Ji0O3a+88oqee+45LVq0SH6/X8YY9evXTzNmzND06dPVs2fP9qgTAIAG7amzRne4j+lmPDcAAJ1Li0P3+eefL8uyFBMTo3PPPVczZ87U8ccf3x61AQBwUNnlnqDtcOxeHhy6aekGAKAzOeTu5TExMVqyZImWLFnS4msty9KWLVsO9akBAAjIrtvSHYbdy0s9Nd3fCd0AAHQuhxS6jTHau3ev9u7de0hPalnWIV0HAEBddbuXh3tLdwyhGwCATqXFoXv27NntUQcAAIek9szlUTabEhxtuhpmq1V6/fJ4aekGAKCzInQDACJa7ZbudLcr7HpT1W7llphIDQCAzoZPfgBARNsTtEZ3+I3nLqnwB23T0g0AQOdC6AYARLS6Ld3hptRTt6Wb0A0AQGdC6AYARLSwb+kuDw7dTKQGAEDnQugGAEQsY0zYt3QzphsAgM6NT34AQMQq8Hrl8ZvAdli2dNcK3W6HTQ47H70AAHQmfPIDACJWJKzRXephuTAAADozQjcAIGLVHs8thX9LN+O5AQDofAjdAICIVT90h19Ld+3QzXhuAAA6Hz79AQARK9cTHLq7hn3opqUbAIDOhtANAIhYRd7gmcETHI4QVdI4j7dmoje3k49dAAA6Gz79AQARq9DrDdyPstnktIXfx5rXVxO6HTYrhJUAAIBQCL/fTgAAaKbCyprQHY6t3JLkq7WkmcNO6AYAoLMhdAMAIlbtlu74MAzdfr+R39DSDQBAZ0boBgBErKJaoTvBGX6h21urlVuS7IRuAAA6nYgM3UVFRbr55pt12mmnqWvXrrIsS3PmzGn29Tk5OZoxY4ZSU1MVExOj8ePHa/Hixe1XMACgXdRu6U5whN/M4LXHc0t0LwcAoDOKyNCdm5urJ598UhUVFfrJT37SomsrKip08skna/HixXr00Uf15ptvKj09XVOmTNHSpUvbp2AAQLsI9+7lvjot3XQvBwCg8wm/31CaoU+fPsrPz5dlWdq3b5+efvrpZl/7zDPPaN26dfrkk080fvx4SdKJJ56oESNG6Oabb9bKlSvbq2wAQBsL94nU6nYvp6UbAIDOJyJbui3LkmUd2i8ur7/+ugYOHBgI3JLkcDh08cUX67PPPlNWVlZblQkAaGe11+kOx5buut3LGdMNAEDnE5GhuzXWrVun4cOH19tfvW/9+vWNXjto0CD17NkzcPvLX/7SbnUCAA6u2FfT0h3HmG4AABCGwq9ZoJ3l5uYqOTm53v7qfbm5uY1eu3v37qDtwsLCti0OANAiJbVauuPs4Re6GdMNAAA6XeiW1GTX9KaOde/eXTZbTeeAhISENq0LANB8Hr9flbXWwI4Lx+7ljOkGAKDTC7/fUNpZSkpKg63ZeXl5ktRgK3i1jRs3ErQBIEwU15q5XJJiw7ClmzHdAACg043pHjZsmNauXVtvf/W+oUOHHu6SAACHoMTnC9oOxzHddC8HAACdLnSfffbZ2rhxY9DSYF6vVy+++KKOPfZY9ejRI4TVAQCaq9hbN3SHX+ctupcDAIDw+w2lmRYuXKiSkhIVFRVJkjZs2KB//etfkqSpU6cqJiZGl112mebPn68tW7aoT58+kqRZs2bpr3/9q84991zdd999SktL09y5c7Vp0yYtWrQoZK8HANAydUN3JHQvp6UbAIDOJ2JD91VXXaXt27cHtl999VW9+uqrkqStW7cqMzNTPp9PPp9PptZEO263W4sXL9bNN9+sa6+9VqWlpRo5cqQWLlyoyZMnH/bXAQA4NCW+4DHd4di9vG5LN2O6AQDofCI2dG/btu2g58ybN0/z5s2rtz89PV3z589v+6IAAIdN3THdMWHY0u3zB2/TvRwAgM6n043pBgB0DHV6bsvRxJKPoVKvezmhGwCATofQDQCISLWHDklSOMbZurOX07scAIDOh9ANAIhIdRq6ZYVhS7fbGfwxW17pb+RMAADQURG6AQAdQvhFbinWHfwxW1Lha+RMAADQURG6AQARqW5LdziKdQdP7lZSTugGAKCzIXQDACJSJIzprhe6K+heDgBAZ0PoBgBEpPpjukNSRpPqh25augEA6GwI3QCAiFQvdIdhW3e0yyZbrW8DCN0AAHQ+hG4AQESqG7FNGI7ytixLMbVauwndAAB0PoRuAEBEirHX6brtDc9AG0foBgCgUyN0AwAiUrzDEbRd7AvPQFt72TBCNwAAnQ+hGwAQkeIdwS3dRV5viCppWmxU7ZZuZi8HAKCzIXQDACJSXJ2W7qIw7V4eS/dyAAA6NUI3ACAiRUxLd63QXebxyecPvwnfAABA+yF0AwAiUr0x3RHQ0i1JpbR2AwDQqRC6AQARKcpmk73WGtiR0NIt0cUcAIDOhtANAIhIlmUprtayYYRuAAAQjgjdAICI1cXlDNzP9VSGsJLG1V4yTJKKywndAAB0JoRuAEDE6uF2B+5nlZeHsJLGxdRr6WbZMAAAOhNCNwAgYmVERwXuZ5VXhLCSxrkcNrkcNR+3ReXh2Q0eAAC0D0I3ACBiZUTVtHT/UBaeLd2SlBxb0w1++77wrRMAALQ9QjcAIGJlRNW0dBd4vSoJ08nU+neLDtzflV+hYlq7AQDoNAjdAICI1bNW93IpfLuY90+PDtr+LrssRJUAAIDDjdANAIhYtbuXS+HbxbxXSpTctcZ1f7eH0A0AQGdB6AYARKza3cul8J3B3G6z1K9Wa/eWnDL5/SaEFQEAgMOF0A0AiFg96rR0f18avi3I/dNjAvfLPD79kBeeXeEBAEDbInQDACJWlN2uI2Nrwuzn+wtCWE3TjuxWZ1z3ntIQVQIAAA4nQjcAIKId2yUpcH9l/n4ZE57dtuOjHeqWWNMyv5nJ1AAA6BQI3QCAiHZsl8TA/X2eSm0N4y7mtVu7d+9n6TAAADoDQjcAIKIdm5QUtL0yf39I6mgOlg4DAKDzIXQDACLaiMR4uW01H2crw3hcd6+UKEU5a2rdzNJhAAB0eIRuAEBEc9lsOjoxPrAdzi3dNpulfrVmMd+yp5SlwwAA6OAI3QCAiFd7MrWvCork8ftDV8xB1O5iXl7p187c8FxbHAAAtA1CNwAg4h2bVDOZWoXfr0/y8kNYTdPqjeumizkAAB0aoRsAEPFOTE0J+kB7OWt3yGo5mPhoh7onsXQYAACdBaEbABDxukW5dVJqSmD71V17IqaLeXZBhYrKWDoMAICOitANAOgQLuzZPXA/v7JS7+XsC2E1TTuyW0zQ9hffF4WoEgAA0N4I3QCADuGc7ulBS4e99MOuEFbTtJ7JbsVHOQLbH3+7X7lFlSGsCAAAtBdCNwCgQ0h0OnVGetfA9lt7clTkDc9u2zabpdOGJQe2fX6j/67eJ2NYPgwAgI6G0A0A6DAuzKjpYl7m8+vN3TkhrKZpQ3vF6oi0mrHd3+eUad3OkhBWBAAA2gOhGwDQYUxN76pER0237RfDuIu5ZVmaNjJVDpsV2Pfu17kq8/hCWBUAAGhrhG4AQIcRZbfrpz3SA9vv7d2nrwvCd5KylHinJg5MCmyXVPi0eF34rjEOAABajtANAOhQftmnd9D2vZu3hKiS5pk4MFEpcc7A9pdbi/RDbnkIKwIAAG2J0A0A6FDGdEnUlLTUwPa/dmVrfWH4tnY77DZNO7qmXiOj/3yVK7+fSdUAAOgICN0AgA7nrgH9AveNwr+1+4i0aA3vHRfYzi6o0MothSGsCAAAtBVCNwCgwxmf3EWnpKYEtv+Zla2NRcUhrOjgThuWrChnzcfyhxvyVVAankueAQCA5iN0AwA6pNkD+wfuG0l/2Px96Ipphrgoh04ZWrN2t8fr17trckNYEQAAaAuEbgBAhzQxpYtOTK0JsQt+2KVvi8N7HexRfePVMzkqsP3NrhJt2hXeNQMAgKYRugEAHVbtsd1+SVd/vUF+E74TlFmWpTOOTpHNqlm7+501ufJ4/SGsCgAAtAahGwDQYU1OSdbklC6B7UX7cvW3bTtCWNHBdUty69j+CYHtglKvln6zP3QFAQCAViF0AwA6LMuy9H8jhijaXvNx99sNm7Q5zLuZnzi4ixKiHYHtTzcXaE+BJ4QVAQCAQ0XoBgB0aAPj4nTfUQMC22U+v6Z/tVa+MO5m7nLYNHVkzezrfmP08id7tK+I4A0AQKQhdAMAOrxr+vYJmlTt0/z9+vN3W0NY0cEN7B6jgd1jAtv7Syv1zJLd2plbHsKqAABASxG6AQAdns2y9NzIYYp32AP77tq4WV8XFIWwqqZZlqUzj0lVarwrsK/M49P8j3brm6zw7h4PAABqELoBAJ1Cn5hoPTb0qMB2pTG65KuvVe7zhbCqpsVFOXTZCd3VO6VmGTGv3+iVFTn6bEthCCsDAADNRegGAHQa03tl6Mfd0gLbXxcW6aJVX8vrD98luaJddl16fDcNzogN7DMyemf1Pv1vbZ5MGI9NBwAAhG4AQCdiWZaeHD5EqS5nYN9ru/fol19vCOvw6rDbdO6xaRrXPzFo//Jv9+u1z/fK6wvfLw0AAOjsCN0AgE4lPcqt18ccoyhbzUfgMzt+0M0bNoV18LYsS1NGpOhHw1OC9q/dWayXlu9RuSd8u8kDANCZEboBAJ3OxJQu+teYkXJYVmDfg1u26f4wn9FcksYfmaifjU2T3VZT+9a9ZXp26W4VlHpDWBkAAGgIoRsA0ClNS0/T/KOHyaq173fffKsnt+0MWU3NNbRXnC6Z2E1RzpqP8ZxCj55Zskt7CljLGwCAcELoBgB0Whf27KHHhx0VtO+XX6/Xq7uyQ1RR82V2jdasyT2UGOMI7Css8+rZJbu0NacshJUBAIDaCN0AgE7t6r59dPfA/oFtI+miL9fon1m7Q1dUM6UlunTZ5B5KT6xZy7vC69eLy7O1dkdxCCsDAADVCN0AgE7vzgH9dF3fPoHtSmN0/pdr9KfNW8J6cjVJSohxaOak7joiLTqwz+c3+vfnOVq+aX/Y1w8AQEdH6AYAdHqWZenhoYM0vVePoP23fbNZv1izXpVhvI63JEW57LpoQjcN7x0XtP9/6/K0cE2u/H6CNwAAoULoBgBAks2y9OzIYbqlf9+g/c/s+EFTV3ypgsrKEFXWPHabpbNHd9XEgUlB+z/bUqh5H+3Wztzy0BQGAEAnR+gGAOAAm2XpvsED9eSIIbLXWk5s0b5cTfh4pbaXhvcEZZZl6ZShyZo2MlVWrXnZd+SW65klu7Rgebay91eEsEIAADofQjcAAHX8ok8vvXPsKMU77IF964uKNW7ZCn2xvyCElTXPmH4J+vn4NDntwR/z32aX6u+Ls/Tvz3KUVxzeLfcAAHQUlmGGlYMqLCxUYmKiCgoKlJCQEOpyAACHydrCIk1b+aV2ltV0zY622zR32GBN75Uhy7KauDr08oor9eGGfK3bWSKj4I97m2Xp6Mx4TR6UpIRay44BANCZtUf2I3Q3A6EbADqv3eXlOnPlKn1ZUBi0/5TUFP19xBD1i40JUWXNt6fAow/W52nT7tJ6xxw2S2P7JWjiwCTFuO0NXA0AQOdB6A4RQjcAdG4lXq8uXPW13srOCdofbbdpzoD+urFfphy28B+xtTO3XIvX5Wvbvvpj090Om44bkKhx/RPldob/awEAoD0QukOE0A0A8BmjP3+3VXM2faeKOkuIjUyI19Mjh2pUUmKIqms+Y4y+zynT4vX52pVff1K1GJddxw9K0pgj4uWwE74BAJ0LoTtECN0AgGqbi0t05dfr9eG+vKD9Nkm/PiJTvx/UX7GO8B8jbYzRN1ml+mBDvvYVeeodT4xxaPKgLhrZJ042W3iPXQcAoK0QukOE0A0AqM0Yo+d2Zuk36zcpv8763X2io/T3EUM0Ja1riKprGb/faM2OYi35Jl8Fpd56x1PinDppSBcNzogN+4njAABorfbIfhHZb6y4uFi//vWv1aNHD0VFRWnkyJH6xz/+cdDr5s2bJ8uyGrxlZ2cfhsoBAB2BZVma1bunvjlxon7eo1vQse1l5Tp9xZc69/OvtKGoOEQVNp/NVjWL+bWn9dTpI1IUW2cytdziSr26MkdPfrBLm7NLxXf1AAC0TPj3f2vAOeeco88//1z33XefBgwYoAULFuiCCy6Q3+/XhRdeeNDrn3vuOQ0aNChoX0pKSnuVCwDooNKj3PrH6JG6ZE+Orvp6Q9DSYv/avUf/3r1HF2Z01+yB/XVkXGwIKz04h92mY/sn6ujMeK3YXKDl3xaowlszdn33/gq9tDxbfVKjdPKQZPVOjQphtQAARI6I617+zjvvaNq0aYGgXe20007T+vXrtWPHDtntDS95Mm/ePM2cOVOff/65Ro8e3eznpHs5AOBgirxe3fHNZj2+dbvqfrDaLUuX9OyhOwf00xERsMSYJJV5fPp4U4FWflcgr7/+rwpHdovRcUcmqk9qFGO+AQAdBt3LJb3++uuKi4vTueeeG7R/5syZ2rVrl1auXBmiygAAnVm8w6FHhx2llceP16ldg3tP+YzRvJ1ZGvjBMl2xZp12lNZfsivcRLvsOnVYsq6f0kuj+ybIVmc89+bsUs1ftlt/WbhT//1qn7btLZO/gXAOAEBnF3Ghe926dTrqqKPkqDMz7PDhwwPHD+aMM86Q3W5XcnKyzjnnnGZdI0mDBg1Sz549A7e//OUvLX8BAIAObUyXRL0/foyWThirySldgo55jdFT239Q/8Uf6eqvNyirVnf0cBUf7dAZx6TqmtN6anjvOFkKDt/F5V59/n2h5n1EAAcAoCERN6Y7NzdXRxxxRL39ycnJgeON6datm26//XaNGzdOCQkJWrt2re677z6NGzdOy5cv14gRI5p87t27dwdtFxYWHsIrAAB0BpNSkvXhcWP1wb483blxsz7N3x84VmmM5m7boWd2/KBfZvbSb/v1VUZ0eI+RTo5z6pwxaZowwKMPN+Rr065SmTod6asD+OffFyouyqHBGTEakhGrXil0QQcAdF4RF7olNblkSVPHpkyZoilTpgS2J02apGnTpmnYsGG666679Oabbzb5vN27d5fNVtM5gPHdAICmWJalk7um6KTUZL23d5/u2vidPt9fEDhe4ffr0e+364mtO3RGelf9MrOXTuuaWq8rdzhJT3Tp/PHpKi736pusUm3IKtG2veUNBvDPthTqsy2Fio9y6KgDAbx3ahRLjwEAOpWIC90pKSkNtmbn5eVJqmnxbq7MzExNnDhRK1asOOi5GzduJGgDAFrMsixNSeuqH3VN1X/27NVdGzdrdWFR4LjPGL2ZnaM3s3OUGROtX/TuqVm9e6pblDuEVTctLsqhMf0SNKZfQiCAr/+hRNv31Q/gRXUC+OCMWA3pGateKW4COACgw4u40D1s2DC9/PLL8nq9QeO6165dK0kaOnRoix/TGBPUgg0AQHuwLEtndkvTtPSuemP3Hs3e9J3W1VnLe1tpmW7fuFmzN32nn3RL05WZvXRSakpYt363NICv3FKglVsKCOAAgE4h4pYMW7hwoaZOnap//OMf+vnPfx7Yf/rpp+vrr79ucsmwhmzdulXDhw/XKaecotdff73Bc1gyDADQHowxWpKbp//btlOv7d6jykY+kvvFxOiKPj01s3dPdXW7DnOVh66ozKtvdpVq/Q/F2rGvol4Ary0huiqAD84ggAMAQqc9sl/EhW6pak3uL774Qvfff7/69++vl19+WU899ZRefPFFXXTRRZKkyy67TPPnz9eWLVvUp08fSdIpp5yiSZMmafjw4YGJ1B544AEVFRXpk08+abSVnNANAGhvORUVem5Hlp7cvlPfN7KkmMtm6Zzu6bqiTy9NSkmWPYKC6aEE8CE9Y9UzmQAOADh8CN0HFBcX6/bbb9crr7yivLw8DRo0SL/73e90/vnnB86ZMWOG5s+fr61btyozM1OSdMMNN+j999/Xzp07VVZWprS0NJ100km68847NWDAgEafj9ANADhc/MZo8d5c/X37Tr2ZnSNfIx/T6W6XftItXed0T9eJqclyRtAwqaIyrzZklWj9DyXakdv0smkJ0Q4N6VnVAk4ABwC0N0J3iBC6AQChsLu8XM/uyNJT23dqexNreic5Hfpxepp+2qObTu2aougWDLMKtcJSr77Z1bwAnhjjUL+0aPVKiVKvFLdS4pyEcABAmyJ0hwihGwAQSj5j9F7OPv3f9p36T3aO/E2cG2u3a1p6V53TPV1T07sq3hE5c6YWlh5oAc8q0c6DBHBJinHZ1SvFXRXCk93q0cUtpyNyWvwBAOGH0B0ihG4AQLjYXV6uN3bn6LXde/Rhbl6j3c8lyW2z6bSuKfpp9246s1tXJbsiZxK2glKvvmlBAJckm2Wpe5Ir0BLeKzlKCTGR86UDACD0CN0hQugGAISjXI9Hb2fn6N+79+j9vfvk8Tf+ke6wLJ2YmqyfdEvXaV1T1C82JmK6ZhccaAHfnF2qH/Iq5PE21dYfLDHGoV7JUYEW8fREl+y2yHjdAIDDj9AdIoRuAEC4K6z06p2cvXpt9x69s2evSny+Js/vEx2lU7qm6uTUZJ3cNUVpbvdhqrR1/H6jnEKPduZWaGdeuXbmVii/pLLZ1zvtNmV0catXilu9U6PUM9mtaFfkjIEHALQvQneIELoBAJGkzOfT+zn79O/de/RWdo4KvN6DXjM8IV6npKbolK4pOj6li+IiaCx4cbm3KoTnlmtnXoV25VfI10Srf11d4101Y8OZoA0AOjVCd4gQugEAkcrj9+vDfbl6bfcevbE7Rzkez0GvcViWxndJ0ildq0L4mKTEiFqSzOvza/d+TyCI78gtV0lF0y3/tUW77OqVXBPCM5igDQA6DUJ3iBC6AQAdgd8YfV1YpMV7c7VoX64+ys1X6UG6oUtSvMOuySnJVSE8NUWD4+MiqiXYGKP8Em9VS/iBbuk5BZUyat6vQDbLUrckV9DY8EQmaAOADonQHSKEbgBAR1Th82tF/n4t2perxXtz9dn+giZnQ6/WxenUsV0SNa5LksZ1SdTYpCR1cTkPQ8Vtp6LSrx8OjAnfmVuuH/IqVNHCCdp6JLmVnugK3LrEOiLqywgAQH2E7hAhdAMAOoOCykotzc3Xor37tGhvrr4pLmn2tYPiYmsF8SQNjY+TI4K6pPv9RnuLKmtaw3PLldeCCdokyeWwKS2hJoSnJziVluhiojYAiCCE7hAhdAMAOqOssnJ9sC9Xiw50R99VXtHsa2Psdo1JSgiE8GO7JKp7VFQ7Vtv2isu9+iGvQjtzK7Qjt7zFE7RVS4xxKL12GE90KSXOKRtLlwFA2CF0hwihGwDQ2RljtLG4REtz87Qyv0Ar8vdrYwtawiWpd3RUIISP65KooxMTFGWPnFbg2hO0/ZBXrj0FHuUVe5s9Nrw2u80KtIpX/elUeqJLcVGMFQeAUCJ0hwihGwCA+vI9lfps/36tyC/QyvyqP/Mrm98l22FZOiouViMSEzQiIV4jEuI1PCFe6VGRsWa4JHm8fu0trNSeAk/NrdCjMk/zZ0uvLdZtV3qiS6nxTqXGV/2ZEudUQrSd8eIAcBgQukOE0A0AwMEZY7S5pFQr8vcfuBXo68KiZk3OVlu623UghCdoRGJVGB8YFxsxy5YZY1RU5tOeQk9QGN9XVCn/If7a5XLYlBLnPBDGnYH7KXFOljMDgDZE6A4RQjcAAIemxOvVlwWFWpFXFcJX5O/X7ormjw2v5rJZGhIfr+EJcVVhPCFeIxLjleJytUPV7cPr82tfUd1W8UoVl3tb9bhJMU6lxDkCLePVYTye1nEAaDFCd4gQugEAaBvGGP1QXq5P8/ZrVUGh1hQWaU1B0SEFcUnKiHIHWsSHJ8RrSHycjoyNiaix4iXlwa3iewurWsVbsoRZQ1wOWyCEp8Y5lXKgy3pKnEMOO63jANAQQneIELoBAGhfeys8WlNYqK8PhPA1hUXaUFSsykP4NcWS1CcmWgNjYzUwruY2IC5GPaOiIqL11xijkgqf9hVVBm65xVV/7i85tMnbqlmylBjjUJfY6psz6M9oly0i3iMAaA+E7hAhdAMAcPh5/H5tLCrRmsKqFvHqQJ7j8RzyY8bY7RoQGxMUxqsCeaziHZExc3il16+8Eq/2FXmUW1SpfcU1wdzTytZxSXI7bLWCeHAoT4yx00oOoEMjdIcIoRsAgPCRXV5RFcQPtIh/XVikb4pLWjxhW109otwaUKd1fGBcrDJjomWPgJZfY4yKy4Nbx/cVeZRb7NX+0ubPKt8US5bio+0NtpB3iXUo1s04cgCRjdAdIoRuAADCW4XPr2+Ki7WpuKTerdh3aMt3VXPZLB0RE6O+MdHqe+DPI2Ki1Te26n6S09lGr6L9VHr9ge7pucWVyiv2Kr+kUvklXhW1ciK32px2WyMt5A4lRNsV5aTrOoDwRugOEUI3AACRyRij3RUVDYbxbaVlan1nbCnJ6VDfmJiqIF4rmPeNiVZmTHTYT+pW6fVrf6lX+SU1QbzmT68qfW3xLlVxOWxKiK4K4InRjqr7MTX3E2Mccjvpvg4gdAjdIULoBgCg46nw+bWltLTBQJ5X2TbdsaWqbut1w3h1y3lGdFRYd12vntCtOoDnl1RN5JZf4lV+aaUKS32tmtStIe4Dwby6dbzqz+D7LtYmB9BOCN0hQugGAKBz2VfhqQrgJVUh/PuSUm0tLdPW0rI2DeROy1Lv6Kog3is6qs6tal84T/Dm9flVUOprsIU8r6RtJnZrSJTTFgjgiQcCeU1Qr9p2EswBHAJCd4gQugEAQLXCSq+2llaF8O9La8J41a1UZW3YHVuSEh2O+mE8qma7Z3SUosOwC7sxRmUev/JLvCosq7oVlHpVWOZTwYHtojKf/O30q2iMyx4I4HFR1TeH4tw12/FRhHMAwQjdIULoBgAAzWGMUU6Fp4FAXnV/R1l5q2dZb0iqyxloGe8VFaUeUW5lVP8ZXfVnosMRdpOY+f1VM65XhfKaMF4dzquDeVt3Ya/N7bA1GMrjo2qHdbtiXHbZbOH1/gFoe4TuECF0AwCAtuD1+/VDebm+LwkO49vLyrSzrFxZ5RXtEsqlqjXKe0S5gwN5nT97RLnDbuI334FgXhXED4Tz0lqt52U+FbfhDOyNsWQpNsquOLdd8dH2oBbzuKjqbYfiouxMBgdEMEJ3iBC6AQDA4eAzRtnlFdpZVq6d5eXaeSCM175lV1S0Y7uv1MXpVDe3S92i3Ormdqub26XuUVFV+9zuwP4Ul1O2MGk59/lNVQiv0329sMynojKviit8Ki73yec/PL/2uhy2BkN57IEW8xiXTTHuqvvRLhst6EAYIXSHCKEbAACEC4/fr13l5fXC+M4D+7LKypXj8bR7HXbLUnp1EHe71S3Kpe4HQnmay6U0t0vpbrfS3C51cYY+oBtjVF7pV3F5VQAvOvBncXlNKK++lXpat7Z7S1iyFOWyKdZdO4zXhPL6+2xys9450G7aI/uF73SYAAAAqMdlsykzJkaZMTGNnuPx+5VdXqFd5RXKKi9v9M8i76GHS58x2nXgOQ7GblnqeiCIVwfy6lu62x28z+VWjKPtu7hblqVol13RLru6HuT36Oou7Q2F8qJyX9Axbytbz42Myjw+lbUg6NssSzFuu2LdtqpgXh3KXXbFuOv+WXWMCeOA0CF0AwAAdDAum029Y6LVOya6yfOKvF7trh3ED3Rf311Roexyj7IrKpRdUaH9la0bM+0zJvBYzRFrtyvN7VKqy6WuLpe6up3q6jqw7T6wz+VSqsuprm6XEtp4kji7zVJiTNUSZJK70fOMMaqo9AdCeVGZr06reU1gL6lou9ZzvzFVj13e/Guc9gOt6XVDee1WdbdNUc6qW7TLLpfDokUdaAN0L28GupcDAIDOrNzn056KAyG8vCo87y6vUHZFTTDPPrBd4W+ftbmb4rJZgYCeWiukV2+nul1KcTqV7HIq2elUisupGLv9sAZKv9+o1ONTaYW/zp8+lXrq7qv6s73WOW+u6q7v0U6bolw1Ybzqz9oBvfq+PWg/Y9URieheDgAAgMMuym5Xn5ho9TlIy7kxRvsrvdrr8WhPRYVyKjxVN8+BPysqAvf3VHiUX1nZJvV5/M3v6l7NZbOU7HQp2eWsF8ir7ye72i6s22zWgdnNm39NpdevMo9fJRW+hgO7x38gtNfsa8vJ4oK6vpe0/Hq3o1ZYd9obDfANhXiHne7w6DgI3QAAAGgTlmWpi8upLi6nBsTFHvR8j9+vfYFAXh3QKwKhfJ/Ho70ej/ZWeLTPU6lCb9stDebxt6zLe7XqsN7F6VAXZ9Vr7eJ01mxX31z190XbWzYBmtNRNRY7IaZ5v7IbY+TxBreol5TXbkmvHdSr/izz+NttHfQKr18VXr8KDuFah81SlMseCOlBYf1AgK8O6G5H1eRyVX9acjtsctjpGo/wQegGAABASLhsNvWIilKPqOY1/1b4/IEgvu9AGK+6Xxm4X3s71+NRW3fQPtSwLlUF9qBgXh3WDwT3JKdDiQ6nEp2OoPuJDocSnY6DrqFuWVZV6HTa1OXg33lIqur2Xl5Z1Zpe5vGrvLLqVubx1bp/YL/Hr7JKX2Bfe3Z/9/pbPm69Nks170VwKLfJ7bDkctTaPhDUq89xOYKvs9NNHq1E6AYAAEBEcNttyoiOUkZ080K6zxjleyqVW+lRnqdSeZWVyvVUBu7nNXKsoA1b1Gvz+I32HGjFPxRumy0QwBMPhPKkwH3H/7d351FR1f0fwN/3zrAMIIuAJFBaYokmPBWVaSpGuFCmlJZhKSqaW/1sI5+0RKWj1jkuZblbPpapqVSPhrmh5zE06zxW4vpY4l6a7Dtz5/v7YxYZZoABmRlG369z5syd790+c74H5c333u+Fn5sb/NSGwG5YNq7zd3ODr5sa7rL5ZduyrJ8J3cuj8TPGGwP79bBeO7jXH+DtNcIO6C+Nr6jW13ej1LJ5CHdXS1aD/PXQbhnkjftx9P3WxNBNRERERDcllSQhyEM/kVpjaHU65FdrkWcI5NdqhHRjOM+vrvGqqkZ+tRb51dXQ2nGO4kqdTn9P/A08h91DluGrVutfbmr4qlW1Plsu+9VsN6zzlOUbCuzGmd8twrhp2XqAN4b45rx3vSFanYC2snlmoDcbYVdbjsQbR9ndVPrR+Nrv7mrJrI2X0bsGhm4iIiIiohrUsqx/NFkjw7oQAqWKYgjiWvNgXm0I5rUDe422agc8VKhSpzNdhn8j1JJkEc5bqVXwMb6rGvhc4z3A0w0hsu3hUQgBrXJ9lL1Sq0NltQ5VWmFavv4uDOuMbebbODK8A0CVVl9LcRMvm69NggQ3w+Xy7qrry9ZDe33rGOjtiaGbiIiIiKgZSJIEH7UaPmo1bq9/oncLQghU6HQorNaioFp/iXthtRaFWsNnw3KhYbmgxrJ+G/1nRz1kTCuEfvS/mWagV0sSWqnV8FGr9O8qVf2f1Sp4qwwvtQo+7mp4e6ngp1LBW+UOb7UKXioV5AZCo1apFdZrBHWbwrxi3E/Y9XL5ugjoJ8+zx/31tgb62mHdch0DPUM3EREREZGTSZIEjUoFjUqF2zw9mnQM40h7XcG9WKugSKtFUbVW/1572fC5RLnxy6gbSyuEafS/OXnVDOaGd2NY91GrTev0n43r1Po29+ttbWoEeW9DP9UM9EIIVCs1w7qoMbpuGeQrtYYwbyXIVyvOfT67kaMDvZtKhlrWL5u9q/Sz0RvD+vX3Wtsb2q2tc/Yz4xm6iYiIiIhuAjVH2m2dbM4aRQiUWA3lSp2BvbBai2KtPrCXaLUo1iooUbQod3KALFMUlCkKrt7Y1fRWecoyvFSGIG4I5F6qGm0qlWnZSyXDW62Gl0aGl8/1dj+V2mwbL5UKGlmGG2SoIUFRgGpFH3yN71VagWrDCH21VocqRaDaEI71y7W2Me2ng9bBl9PXxZ6B3hqVbAzysllAN3/Xj8JXlZU0+/kZuomIiIiIyEQlSfrZz93cgEZeJl+bVqdDqaLoQ3iNMG78XKJVTGG9uL7PNfZTHHDvuy0qdDpU6HTNdom9NR6ybBhZNwRyw7JGVhk+y9AYArvGUx/YNSrzdYEqtandQ5LgDhlqyFALCWohQSUkyEICBKwG+iqtTh/qrQT6KkVnCvwtJdBbo+gEFJ3+NoGGVJYVN/v5GbqJiIiIiMgu1LIMP1nWB/hmYLz3vVSroNQwql6q6JdLtQpKDO+lij6om6/TmvbT73t9XalhRLylqdTpUKnTAfbL9SYqSdKHd7lmmL8e8jUqGZ4eKnhqZHiqZHjKMjxlFTwMy96Q4CbJcBP6UXqVToIagErIkIUEWQCyToKsAyAkyDp90Jd0gKIDqg3BvVrRT5SnVQzLOmFa5+iJ75oLQzcREREREbmEmve+BzXzsXVCoKxGCC8xhHfjsvFSdf1LP4JfVqu9tMZ602ft9XUtOTIqQqBYq6AYjv/jg0qS4CEbgrwx0Lup4OlRs00Fd0mCuyTDXchwlyW4GwK+8XJ8tZCghgwVjKP4gAzJEPwByRD+je/Q6ZehAyAArSJQIpo/IjN0ExERERHRLU+ucU+8PQghUKUTKFW0plBuCuta80BvHuD168t1CsoVHcoV/XuZoqBcp/9cplxfV6YoDpvFvrkohj94lCmKQ0b16+IuS/BAMz3PrQaGbiIiIiIiIjuTJAkeKgkeKne0tuN5hBCoFsIUzk2hXFcrsBvaagb2ckPorxnwjesrdAoqFJ3pXvaKWm03gyqdQJVW2+zHZegmIiIiIiK6SUiSpL8MW5bh1zy30jfIGPRrB3HTZ9OyDhWKgkqz4K5vM/tc6xiVVtoqDH8YMN73rm0hE+xZw9BNRERERERETVYz6Ps6KWIqQqCyRkCvNAvshnCuXF+uqBHYa25fVFSEhc1cG0M3ERERERERuTSVJMFLrYIXVACaPsRvj9AtN/PxiIiIiIiIiMiAoZuIiIiIiIjIThi6iYiIiIiIiOyEoZuIiIiIiIjIThi6iYiIiIiIiOyEoZuIiIiIiIjIThi6iYiIiIiIiOyEoZuIiIiIiIjIThi6iYiIiIiIiOyEoZuIiIiIiIjIThi6iYiIiIiIiOyEoZuIiIiIiIjIThi6iYiIiIiIiOyEoZuIiIiIiIjIThi6iYiIiIiIiOyEoZuIiIiIiIjIThi6iYiIiIiIiOyEoZuIiIiIiIjIThi6iYiIiIiIiOyEoZuIiIiIiIjIThi6iYiIiIiIiOyEoZuIiIiIiIjIThi6iYiIiIiIiOyEoZuIiIiIiIjIThi6iYiIiIiIiOyEoZuIiIiIiIjITtTOLqApSkpKMH36dGzcuBF5eXno1KkTpk6dimHDhjW475UrV5CamoqtW7eirKwM0dHRSE9PR1xcXJ37LF682PT+9ttvN9v3IMeYP38+ioqK4Ovri9dee83Z5VAjsf9cG/vPtbH/XBv7z7Wx/1wb+8912SP7SUII0SxHcqC+ffvip59+wty5c3H33Xdj3bp1WLlyJb744gskJSXVuV9lZSViYmJQUFCAuXPnok2bNvj444+xbds27Nq1C71797a6X2hoKC5fvoy2bdvi0qVL9vpaZCfh4eG4ePEiwsLCcOHCBWeXQ43E/nNt7D/Xxv5zbew/18b+c23sP9dlj+znciPd3333HXbu3Il169bh+eefBwD06dMHZ8+exZtvvonnnnsOKpXK6r6rVq1CTk4OsrOz8cgjj5j2jY6ORmpqKn788UeHfQ8iIiIiIiK6+bncPd0ZGRnw8fHB0KFDzdpHjRqFS5cu1RucMzIycM8995gCNwCo1Wq88MILOHToEC5evGi3uomIiIiIiOjW43Ij3Tk5OYiMjIRabV56VFSUaX337t3r3Ldnz54W7cZ9jx49irCwMIv1xivwL1++jNDQUFP75MmTMXny5KZ9EXIYnU5nei8qKnJyNdRY7D/Xxv5zbew/18b+c23sP9fG/nNdxr5rzruwXS50X7t2DXfddZdFe+vWrU3r69vXuF1j9h07dixmz54NQB+8jaZNm4Zp06bZXjw51eXLl+Hn5+fsMqiJ2H+ujf3n2th/ro3959rYf66N/ee6xo4d22zHcrnQDQCSJDVpXVP3TUtLAwCsWLHCbBuOdBMREREREd08hBAoLi42u8L5Rrlc6A4MDLQ6Ip2XlwcAVkeyb3RfWZYxa9YszJo1qyklExERERERkYto7qsTXG4ita5du+L48ePQarVm7UeOHAEA3HvvvfXua9yusfsSERERERERNZbLhe7ExESUlJRg8+bNZu1r1qxBaGgoHn744Xr3PXHihNkM51qtFp9//jkefvjhZr2EgIiIiIiIiMjlQveAAQMQHx+PCRMmYMWKFcjKysK4ceOwfft2vP/++6ZndI8ZMwZqtRpnz5417Tt69Gh06dIFQ4cOxbp167Br1y48++yzOHnyJObNm2dxrsOHD2Pw4MEIDQ2Fl5cXOnXqhFmzZqGsrMxh35ea7tChQ+jXrx9atWoFHx8f9OnTBz/88IOzy6JaiouLkZqair59+yI4OBiSJJnmUajtv//9Lx5//HH4+PjA398fTz/9NP744w/HFkxmbO2//fv3IyUlBQ888AA8PDwgSRJyc3MdXi+Zs6X/FEXB/Pnz0b9/f4SHh8PLywuRkZGYOnUqCgoKnFI36dn68/fhhx+iW7duCAoKgoeHB+644w4MGzYMR48edXzRZNKY//+MhBDo1asXJEnivEJOZmv/JScnQ5Iki1enTp0cXzSZNObnr7q6GvPnz0fXrl2h0Wjg7++P7t27Izs72+bzuVzoBoAtW7bgxRdfxLvvvov+/fvjxx9/xJdffonhw4ebtlEUBYqimE317uHhgd27d6NPnz54+eWXMXDgQFy+fBmZmZno3bu32TmOHTuG7t27Izc3FwsXLsTWrVsxbNgwzJo1C88//7zDvis1zU8//YRevXqhvLwca9euxdq1a1FRUYG4uDgcOHDA2eVRDdeuXcPy5ctRWVmJwYMH17ndiRMnEBsbi6qqKmzcuBGrV6/GqVOn0LNnT1y9etVxBZMZW/tv9+7d2LVrF+644446H+tIjmdL/5WXlyMtLQ3t2rXDwoUL8d1332Hs2LFYvnw5evTogfLycscWTSa2/vxdu3YNAwYMwMqVK7Fjxw7MnDkThw8fxsMPP4yTJ086rmAyY2v/1fTxxx/j9OnT9i2MbNKY/tNoNDhw4IDZa8OGDY4plKyytf8URUFiYqIpA2ZmZuKLL75A//79UVpaavsJBVk1bdo0AUCcPn3arH3cuHECgMjLy3NSZWSLfv36iZCQEFFaWmpqKyoqEkFBQaJ79+5OrIxq0+l0QqfTCSGEuHr1qgAgZsyYYbHd0KFDRVBQkCgsLDS15ebmCjc3N5GamuqocqkWW/tPURTT8gcffCAAiDNnzjioSqqLLf2n1WrF33//bbHvV199JQCItWvXOqJUssLWnz9rjh07JgCId955x44VUn0a239nzpwRPj4+YsuWLQKAmDRpkoMqJWts7b+RI0cKb29vB1dHDbG1/xYsWCBkWRYHDhy4ofO55Ei3I7i5uQGwnLnO398fsizD3d3dGWWRjX744QfExsbCy8vL1NaqVSv06tUL2dnZZs9bJ+cyXmZVH61Wi61bt+KZZ56Br6+vqb1du3bo06cPMjIy7F0m1cGW/gP0T4GglseW/lOpVAgMDLRof+ihhwAA58+ft0tt1DBbf/6sCQ4OBgCo1S73IJubRmP7b9y4cYiPj0diYqIdqyJb3cjPHzmfrf23aNEi9OrVC926dbuh8/G3oDqMHDkS/v7+mDBhAv744w8UFxdj69atWLZsGSZNmgRvb29nl0j1qKqqgoeHh0W7sc3aLPbUcv3+++8oLy9HVFSUxbqoqCicPn0aFRUVTqiM6Na1Z88eAECXLl2cXAnZSlEUVFZW4sSJE0hJSUGbNm0watQoZ5dFNli5ciUOHTqExYsXO7sUaoLy8nLcdtttUKlUCA8Px+TJk02PLKaW6/z588jNzUXXrl3x9ttvIyQkBGq1Gl26dMGaNWsadSz+ebMO7du3x4EDB5CYmIgOHTqY2l955RUsXLjQeYWRTTp37oyDBw9Cp9OZRti0Wq1p5nprz2unlsvYX61bt7ZY17p1awghkJ+fj7Zt2zq6NKJb0sWLFzF16lTExMTgySefdHY5ZCNvb29UVlYCAO6++27s3bsXt99+u5OrooZcvHgRb7zxBt5//30+accFRUdHIzo62vRo4n379mHBggXYvXs3fvrpJ/j4+Di5QqrLxYsXAeifkhUeHo7FixfDz88PK1asQHJyMqqqqjB27FibjsXQXYfc3FwMHDgQISEh2LRpE4KDg/Hjjz8iPT0dJSUlWLVqlbNLpHq8/PLLGDNmDCZPnoxp06ZBp9Nh5syZptnseamra6rvMiBe4kXkGHl5eUhISIAQAhs2bOC/py4kOzsbVVVV+P3337FgwQL06dMHu3fv5tUKLdz48eMRHR1t8y/31LK8+uqrZp/j4+Nx3333YciQIVixYoXFemo5dDodAKCiogLfffcd2rVrB0DfhzExMZg1axZD942aOnUqioqK8Msvv5guJe/VqxeCgoIwevRojBgxwmLGc2o5Ro8ejatXryI9PR1LliwBADzyyCN44403MG/ePISFhTm5QmoM4/2k1q5QyMvLgyRJ8Pf3d3BVRLee/Px8xMfH4+LFi9izZw/uuusuZ5dEjXD//fcDALp164annnoKERERePvtt/HNN984uTKqy6ZNm7B9+3bs378fhYWFZuuqqqpQUFAAb29v01xE5BoSExPh7e2NgwcPOrsUqofx989OnTqZAjegH+jp168f5syZgytXrqBNmzYNHot/nq7DL7/8gs6dO1vcu/3ggw8CAHJycpxRFjXCW2+9hb///htHjhxBbm4usrOzkZ+fD29vbzzwwAPOLo8aoUOHDtBoNFbvxT9y5AgiIiLg6enphMqIbh35+fl4/PHHcebMGezcudPqHAvkOlq1aoVOnTrh1KlTzi6F6pGTkwOtVotu3bohICDA9AKAFStWICAgANu2bXNyldQUQgheKdTCdejQwWxS5pqE4bHUtvYhe7oOoaGhOHr0KEpKSszajc94Dg8Pd0ZZ1EgeHh6499570a5dO5w7dw4bNmzA2LFjodFonF0aNYJarcbAgQOxZcsWFBcXm9rPnTuHrKwsPP30006sjujmZwzcf/zxB3bs2IH77rvP2SXRDTL+UToiIsLZpVA9kpOTkZWVZfECgMGDByMrKwuPPvqok6ukxtq0aRPKyspueEZssi+1Wo1Bgwbh+PHjyM3NNbULIbB9+3Z06NABQUFBth3LTjW6vClTpmDw4MGIj4/Hq6++iqCgIBw8eBBz5sxB586dMWDAAGeXSPXIycnB5s2bERMTAw8PD/z666+YO3cuOnbsiNmzZzu7PKolMzMTpaWlpkB97NgxbNq0CQCQkJAALy8vzJw5Ew8++CCefPJJTJ06FRUVFXj33XcRFBSE119/3Znl3/Js6b+rV69i3759AK4/PSAzMxPBwcEIDg7m7TpO1FD/GS+jO3z4MBYuXAitVmt2SWRwcLDZhKPkWA31X3V1NeLj45GUlISOHTtCo9Hg1KlTWLRoESorKzFjxgxnln/La6j/2rdvj/bt21vdNywsDLGxsQ6qlKxpqP+uXr2KpKQkDBs2DBEREZAkCfv27cPChQvRpUsXpKSkOLP8W54tv7/Mnj0bmZmZ6N+/P9LS0uDr64uVK1fi119/xcaNG20/2Q095fsmt2fPHtG3b19x2223CY1GI+6++27x+uuvi7///tvZpVEDTp48KXr16iVat24t3N3dRUREhJg+fbooKSlxdmlkRbt27QQAq68zZ86Ytvv5559FXFyc8PLyEr6+vmLw4MHi9OnTziuchBC29V9WVlad2/Tu3dup9d/qGuq/M2fO1LkegBg5cqSzv8ItraH+q6ioECkpKSIyMlL4+PgItVotwsPDxQsvvCCOHj3q7PJvebb+/1cbADFp0iTHFUpWNdR/eXl5IjExUbRv315oNBrh7u4uOnbsKFJTU0VBQYGzy7/l2frzd+TIEfHEE0+IVq1aCU9PT9GtWzfx73//u1HnkoQwXJBORERERERERM2K93QTERERERER2QlDNxEREREREZGdMHQTERERERER2QlDNxEREREREZGdMHQTERERERER2QlDNxEREREREZGdMHQTERERERER2QlDNxEREREREZGdMHQTERERERER2QlDNxERUQuWlpYGSZIQGxtrsS45ORmSJCE5OdnhdTVF+/btIUmS2evrr7+22M64bu/evQ6vsSH+/v4W36El1klERC0HQzcREd2yjIG29svDwwOhoaHo168fVq5cierqameXelPx9fVFSEgIQkJC4Onp6exyGsVYd0hIiLNLISIiF6F2dgFEREQtQc0QVVxcjMuXL+Py5cvYsWMHli1bhh07diAgIMCJFVpq27Yt7rnnHrRt29bZpTTKokWLXGZ0vraTJ0+aliVJcmIlRETkKjjSTUREBODPP/80vUpLS3H27FmMHTsWAPDzzz/jlVdecXKFlubMmYMTJ05gzpw5zi6FiIiI6sDQTUREZMUdd9yB5cuXIy4uDgCwceNGlJSUOLkqIiIicjUM3URERPXo168fAKCqqgr/+9//LNZfuXIFq1evxtNPP43IyEj4+flBo9EgIiICKSkpOHr0aIPnyMzMRHx8PPz9/eHj44Po6Gi8//77Dd5LXt9EasZJyz777LMm7a/VarF8+XLExsYiKCgIbm5uCAwMxD333IPnnnsOq1evbvB72YNOp8OECRMgSRK8vLzwzTffmNbVnnTu22+/RVxcHAIDA+Hr64vu3btbTNy2du1a9OjRAwEBAfDx8UGvXr2we/duB34jIiK62TF0ExER1UMIYVpWFMVifWpqKsaMGYOMjAycOHECgD6w/v7771i1ahUeeOABbN68uc7jp6WlISEhAbt27UJhYSHc3Nxw7NgxvPXWW3j88cdRVVXV/F+qAYqiICEhAS+99BL27duHa9euwdvbG6WlpTh16hQ2btyIMWPGOLyuiooKDBkyBEuXLkVAQAB27tyJQYMGWd12xowZGDRoEPbu3QtFUVBcXIwDBw4gMTERS5cuhRACycnJGDFiBA4dOgRFUVBaWor//Oc/6NevH7Zt2+bgb0dERDcrhm4iIqJ6fP/99wD0k2bdeeedFuvvvPNOTJ8+HYcPH0ZJSQkKCwtRWVmJnJwcDB8+HJWVlRg5ciQuXbpkse+3336LmTNnAgCGDh2Kc+fOIT8/H0VFRfj4449x8OBBLFmyxL5f0Iovv/wSO3fuhKenJ1auXIni4mIUFBSgvLwcf/31F7Zs2YJnnnnGoTUVFBSgb9++yMjIQHh4OPbv348ePXpY3faXX37Be++9h/T0dOTl5aGgoAAXLlwwXbWQmpqKtLQ0bNiwAUuXLkVhYSGKiopw6tQpxMTEQFEUTJw4ETqdzpFfkYiIblKcvZyIiMiKc+fOIT09HXv27AEADBw4EIGBgRbbzZgxw6JNlmV06dIFn3/+OQoKCrBt2zasXr0a06dPN9vun//8JwCgd+/eWL9+PWRZ/7dwjUaDiRMnQqVSYfz48c391RqUnZ0NABgxYoTZiLYkSWjTpg0SExORmJjosHouXLiAAQMGICcnB507d8b333+P8PDwOrcvLCxEeno6pk2bZmoLCwvDxo0bERoaiuLiYsyaNQuff/45hg8fbtqmY8eOWL9+PSIiInDu3DlkZ2fj0Ucftet3IyKimx9HuomIiADcdtttppe3tzfatWuHFStWAAA6deqETz75pEnHfeKJJwAA+/fvN2v/7bffcOzYMQDA9OnTTYG7prFjxyIsLKxJ570R/v7+APQzujvbsWPH0L17d+Tk5KBHjx7Yv39/vYEbADw9PTFlyhSLdl9fXzzyyCMA9BPlJSUlWWzToUMHREREAND3ERER0Y1i6CYiIgLw119/mV5lZWWm9hEjRuDw4cP1ht9ff/0VEydORFRUFHx9fSHLMiRJgiRJmDhxIgD9aG1NP//8MwBArVajZ8+eVo8ry7JpUjBHSkhIgCRJ+PbbbzFgwAB8+eWXVi+Pt7fs7Gz07NkT58+fx6BBg7Bz506bnpXeuXNneHt7W11nfB57TExMnc/ZNm6Tn5/fxMqJiIiuY+gmIiKCfsI0IQR0Oh0uXbqEpUuXwt/fH//617/w0Ucf1bnf4sWLcf/992PJkiU4cuQISkpK4Ofnh5CQEISEhMDX1xcAUFpaarbflStXAABBQUHw8PCo8/gNjeraw6OPPop58+bB3d0d27dvR1JSEsLCwnD77bdj1KhRyMrKckgd06ZNQ15eHqKiorB582ZoNBqb9mvVqlWd69Rqtc3bNDR7PBERkS0YuomIiGqQJAlt27bFSy+9hIyMDEiShLfeest0b3dNx48fx5QpU6DT6TB06FAcOnQIFRUVyM/Px59//ok///wT8+fPB2A+C3rt87VEb775Js6cOYMFCxZg8ODBaNOmDS5cuIDPPvsMjz32GIYOHWr3UDp8+HBIkoTffvsN77zzjl3PRUREZC8M3URERHWIjY3Fiy++CCEEJk+ebPHIsE2bNkFRFERGRmL9+vV48MEH4e7ubrZNXfdFt2nTBgBw9epVVFZW1lnDxYsXm1S7cbS2oqKizm0KCwvrPUZoaCimTJmCjIwM/PXXX/jtt9+QkpICQP/d7T2zekpKCpYvXw5JkjBnzhykpqba9XxERET2wNBNRERUj3fffRcqlQrHjx/HmjVrzNadP38eABAdHW11IjQA2LVrl9X2mJgYAPpneteeZM1Ip9Nh7969TarbeO+zsUZrxzbeV26rrl27YsWKFaZHde3cubNJtTVGSkoKVq1aBVmW8cEHH+C1116z+zmJiIiaE0M3ERFRPTp06IDnnnsOADB79myzS6r9/PwAAEeOHLF6+XhmZmadoTkqKgqRkZEAgPfee8/qM6FXr15tMQGbraKjowEAGRkZVmtbs2ZNnceub+QdgOneapVK1aTaGmvUqFH47LPPIMsyFixYgP/7v/9zyHmJiIiaA0M3ERFRA/75z39CkiTk5uZi1apVpvb+/fsDAI4ePYpJkyYhLy8PgH7StGXLlmHIkCFWn+1t9N577wEAsrKykJSUZArBFRUVWLp0KSZPnmx6fFdjPf/88wD0952PGzcO165dAwAUFRVhwYIFGD9+PFq3bm1138GDB2P06NHIzMxEQUGBqT0vLw/p6enYvXs3AP0s547y4osvYu3atVCpVPjwww8xadKkOu+TJyIiakkYuomIiBpw77334qmnngKgD8rGkeC4uDgMGzYMALBkyRIEBgYiICAAfn5+GD9+PCIjI5GWllbncRMTEzFt2jQAwIYNG3D77bejdevWaNWqFSZMmICHHnoIEyZMaFLNcXFxGDFiBABg5cqVCAoKQkBAAAICAvDaa69h3LhxGDhwoNV9y8vL8emnnyIhIcH0ffz8/BAYGIh33nkHQggMGTLEdH+3oyQlJWHdunVQq9X45JNPMGHCBAZvIiJq8Ri6iYiIbGAMxxcuXMCyZctM7V988QUWLlyIqKgoeHh4QFEUdO3aFXPmzMEPP/wAHx+feo+bnp6OrVu34rHHHoOvry8qKysRGRmJuXPnYvfu3RYTszXG6tWrsWjRIvzjH/+ARqOBTqdDjx49sGHDhnofg/bRRx9h3rx5SEhIQMeOHSGEQHl5OUJDQ/HUU09h8+bN+Oqrr+q8j92enn32Waxfvx5ubm5YtmwZxo0bx+BNREQtmiT4PxURERE5QPv27XH27Fl8+umnSE5OdnY5N8z4uLesrCzExsY6txgiImqxONJNREREREREZCcM3URERORQo0aNgiRJkCQJX3/9tbPLaRR/f39T7URERLZQO7sAIiIiujUEBwejoqLCrM3T09NJ1TRNSEiIRc03ct89ERHd/HhPNxEREREREZGd8PJyIiIiIiIiIjth6CYiIiIiIiKyE4ZuIiIiIiIiIjth6CYiIiIiIiKyE4ZuIiIiIiIiIjth6CYiIiIiIiKyE4ZuIiIiIiIiIjth6CYiIiIiIiKyk/8HadmOXhjij1MAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = pyplot.subplots(1,1, figsize=(10, 6))\n", "lns1 = ax.plot(MR[:,1], MR[:,0],label='ADM admixed neutron star', lw=2.5,color = '#00B1B7')\n", "lns2 = ax.plot(EOS.massradius[:,1], EOS.massradius[:,0], label='Baryonic neutron star', lw=2.5,alpha = 0.5,color = '#005ABD')\n", "ax.set_ylim(0.,3.)\n", "ax.set_xlim(8,16)\n", "\n", "\n", "ax.set_xlabel(r'Radius [km]', fontsize=18)\n", "ax.set_ylabel(r'Mass [M$_\\odot$]', fontsize=18)\n", "ax.tick_params(width=2, labelsize=12, direction='in')\n", "lns = lns1+lns2\n", "labs = [l.get_label() for l in lns]\n", "ax.legend(lns,labs,loc='best', fontsize=16)\n", "#ax.legend(bbox_to_anchor=(1.05, 1), loc='upper left', borderaxespad=0.,fontsize=22)\n", "\n", "#for axis in ['top', 'bottom', 'left', 'right']:\n", " #ax.spines[axis].set_linewidth(1.5)\n", "pyplot.tight_layout()\n", "pyplot.show()" ] }, { "cell_type": "code", "execution_count": 7, "id": "10d82c7a-fd1a-49dc-ab30-ca6dd9124ecd", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = pyplot.subplots(1,1, figsize=(10, 6))\n", "lns1 = ax.plot(MR[:,0], MR[:,2],label='ADM admixed neutron star', lw=2.5,color = '#00B1B7')\n", "lns2 = ax.plot(MR[:,3], MR[:,4], label='Baryonic neutron star', lw=2.5,alpha = 0.5,color = '#005ABD')\n", "ax.set_yscale('log')\n", "ax.set_xlim(0.,3)\n", "\n", "\n", "ax.set_ylabel(r'$\\Lambda$', fontsize=18)\n", "ax.set_xlabel(r'Mass [M$_\\odot$]', fontsize=18)\n", "ax.tick_params(width=2, labelsize=12, direction='in')\n", "lns = lns1+lns2\n", "labs = [l.get_label() for l in lns]\n", "ax.legend(lns,labs,loc='best', fontsize=16)\n", "#ax.legend(bbox_to_anchor=(1.05, 1), loc='upper left', borderaxespad=0.,fontsize=22)\n", "\n", "#for axis in ['top', 'bottom', 'left', 'right']:\n", " #ax.spines[axis].set_linewidth(1.5)\n", "pyplot.tight_layout()\n", "pyplot.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "88c22f17-df02-4bd5-8217-cac863bc0d9f", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 5 }