{ "cells": [ { "cell_type": "markdown", "id": "a1a45121-ebd8-4666-a885-d068aeb11839", "metadata": {}, "source": [ "# Coagulation Kernel Tests" ] }, { "cell_type": "markdown", "id": "a948cfff-64ba-46ff-9020-73f7e89d7a03", "metadata": {}, "source": [ "The Smoluchowski equation has analytical solutions for the constant, linear and product kernel and we test `mcdust` against the solutions for these kernels. To run the simulations use the following commands. \n", "For the constant kernel,\n", "\n", "`make kerneltest SETUP_FILE=kernel_constant`\n", "\n", "For the linear kernel,\n", "\n", "`make kerneltest SETUP_FILE=kernel_linear`\n", "\n", "For the product kernel,\n", "\n", "`make kerneltest SETUP_FILE=kernel_product`\n", "\n", "To remove the compilation\n", "\n", "`make clean SETUP_FILE=kernel_linear` \n", "\n", "(replace `kernel_linear` with the respective kernel setup directory for other kernels.\n", "\n", "We refer the reader to Drazkowska et al. 2013 for more details of the benchmark of the monte carlo method implemented in `mcdust` \n" ] }, { "cell_type": "code", "execution_count": 1, "id": "299f6584-a7e5-4d99-93fd-a3aebd3dd708", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import os as os\n", "import numpy as np\n", "import h5py\n", "from scipy.special import gammaln" ] }, { "cell_type": "code", "execution_count": 56, "id": "e80cc056-198d-4cf7-a209-8a169b89e16d", "metadata": {}, "outputs": [], "source": [ "# The solutions from Tanaka & Nakazawa 1994\n", "\n", "def analytical_constant_kernel(t, m, a=1.):\n", " \"\"\"Function to compute the analytical solution for the constant kernel\n", "\n", " Args:\n", " t: dimensionless time\n", " m: mass grid\n", " a: constant for the constant coagulation kernel\n", " Returns:\n", " N*m**2: mass density for the given mass grid and time\n", " \"\"\" \n", " m0 = m[0]\n", " N0 = 1./m0\n", " N = N0/m0*4./(a*N0*t)**2 *np.exp((1.-m/m0)*2/(a*N0*t))\n", " return N*m**2\n", " \n", "def analytical_linear_kernel(t,m,a=0.5):\n", " \"\"\"Function to compute the analytical solution for the linear kernel\n", "\n", " Args:\n", " t: dimensionless time\n", " m: mass grid\n", " a: prefactor for the linear coagulation kernel\n", " Returns:\n", " N*m**2: mass density for the given mass grid and time\n", " \"\"\" \n", " m0 = m[0]\n", " N0 = 1./m0**2\n", " g = np.exp(-a*t)\n", " k = (m / m0)\n", " \n", " # compute it with logarithm because large numbers give numerical problems\n", " logN = np.log(N0*g) - k*(1.-g) + (k-1.)*np.log(k*(1.-g)) - gammaln(k+1.)\n", " N = np.exp(logN) \n", " return N*m**2\n", "\n", "def analytical_product_kernel(t, m):\n", " \"\"\"Function to compute the analytical solution for the product kernel\n", "\n", " Args:\n", " t: dimensionless time\n", " m: mass grid\n", " Returns:\n", " N*m**2: mass density for the given mass grid and time\n", " \"\"\" \n", " # compute it with logarithm because large numbers give numerical problems\n", " logN = (m-1)*np.log(m*t) - m*t - gammaln(m+1.) - np.log(m)\n", " N = np.exp(logN) \n", " return N*m**2\n", "\n", "def analytical_fragmentation_sol(t,m, gamma=1.e4):\n", " \"\"\"Function to compute the analytical solution for the distribution of fragmentes\n", " Taken from Lombart et al 2024\n", "\n", " Args:\n", " t: dimensionless time\n", " m: mass grid\n", " gamma: size distribution parameter \n", " Returns:\n", " N*m**2: mass density for the given mass grid and time\n", " \"\"\" \n", " N0 = np.exp(-m)\n", " \n", " loga = gamma*t\n", " a = np.array(np.exp(loga),dtype=np.float128)\n", " b = np.exp(-1*gamma*m)\n", " c = gamma*( a - 1) * b\n", " d = (a-1)/gamma\n", " N = (N0 + c)/(1+d)\n", " return N*m**2" ] }, { "cell_type": "code", "execution_count": 25, "id": "4d452d1f-7d53-48f9-b2bb-9e928e3cb096", "metadata": {}, "outputs": [], "source": [ "def read(type='linear',repeat = 5,nmbins=250):\n", " \"\"\"Function to read the simulation data for the kernel tests\n", "\n", " Args:\n", " type: the kernel type used in the simulation, defaults to linear\n", " repeat: number of times the simulation is repeated\n", " nmbins: number of mass bins to build the mass grid\n", " Returns:\n", " result: a dict that containts the mass density, m2fm, values of the mass grid mgrid_cents, the output times t_arr\n", " \"\"\" \n", " if type == 'constant':\n", " filedir = 'kernel_constant'\n", " ntime = 6\n", " timearr = [1,10,100,1000,10000,100000]\n", " elif type == 'product':\n", " filedir = 'kernel_product'\n", " ntime = 3\n", " timearr = [0.4,0.7,0.9]\n", " elif type == 'frag':\n", " filedir = 'fragtest'\n", " ntime = 10\n", " timearr = np.linspace(0,3e-3,10)\n", " else:\n", " filedir = 'kernel_linear'\n", " ntime = 5\n", " timearr = [4,8,12,16,20]\n", " m2fm = np.zeros((nmbins,ntime,repeat))\n", " mgrid_wall = np.zeros((nmbins+1,ntime,repeat))\n", " for i in range(repeat):\n", " \n", " for j in range(ntime):\n", " #fname = os.path.join('../outputs/',filedir+str(i+1),'out-00'+str(j+1)+'.dat')\n", " fname = os.path.join('../outputs/',filedir+str(i+1),f'out-{j+1:03d}.dat') \n", " data = np.loadtxt(fname)\n", " mgrid = data[:,0]\n", " m2fm[:,j,i] = data[:,1]\n", " result = {\n", " \"m2fm\" : m2fm,\n", " \"mgrid_cents\" : mgrid,\n", " \"tarr\" : timearr\n", " }\n", " return result\n", " " ] }, { "cell_type": "code", "execution_count": 4, "id": "e9bf7bf2-23ed-4a42-9009-e01cfbaf8a64", "metadata": {}, "outputs": [], "source": [ "def plot(result,type='linear'):\n", " \"\"\"Function to produce plot of mass density to compare the analytical kernel solutions with the simulations\n", "\n", " Args:\n", " type: the kernel type used in the simulation, defaults to linear\n", " \"\"\" \n", " start = 1\n", " colors = plt.rcParams['axes.prop_cycle'].by_key()['color']\n", " f,ax = plt.subplots()\n", " ax.set_xscale('log')\n", " ax.set_yscale('log')\n", " ax.set_ylim(10**-2,2)\n", " ax.set_ylabel('$m^2$f(m)')\n", " ax.set_xlabel('m')\n", " if (type == 'constant'):\n", " ax.set_xlim(1,10**6)\n", " ax.set_ylim(10**-2,2)\n", " elif (type == 'product'):\n", " ax.set_xlim(1,10**3)\n", " ax.set_ylim(10**-2,1)\n", " else:\n", " ax.set_xlim(1,10**10)\n", " ax.set_ylim(10**-2,4e-1)\n", " c = colors[0 % len(colors)]\n", " ax.scatter(result[\"mgrid_cents\"][start:], \n", " np.mean(result[\"m2fm\"][start:, 0,:], axis=1),\n", " marker='o',s=4, c='k',label='mcdust')\n", " if type == 'constant':\n", " ax.plot(result[\"mgrid_cents\"],analytical_constant_kernel(result['tarr'][0], result[\"mgrid_cents\"],a=1),\n", " c='k', ls='--',label='analytical')\n", " elif type == \"product\":\n", " ax.plot(result[\"mgrid_cents\"],analytical_product_kernel(result['tarr'][0], result[\"mgrid_cents\"]),\n", " c='k', ls='--',label='analytical')\n", " else:\n", " ax.plot(result[\"mgrid_cents\"],analytical_linear_kernel(result['tarr'][0], result[\"mgrid_cents\"],a=0.5),\n", " c='k', ls='--',label='analytical')\n", " for it, time in enumerate(result[\"tarr\"]):\n", " c = colors[it % len(colors)]\n", " ax.errorbar(result[\"mgrid_cents\"][start:], \n", " np.mean(result[\"m2fm\"][start:, it,:], axis=1),\n", " yerr=np.std(result[\"m2fm\"][start:, it, :], axis=1),\n", " fmt='none', marker='.', c=c, capsize=3, ls=None)\n", " ax.scatter(result[\"mgrid_cents\"][start:], \n", " np.mean(result[\"m2fm\"][start:, it,:], axis=1),\n", " marker='o',s=3, c=c)\n", " if type == 'constant':\n", " ax.plot(result[\"mgrid_cents\"],analytical_constant_kernel(time, result[\"mgrid_cents\"],a=1),\n", " c=c, ls='--')\n", " elif type == \"product\":\n", " ax.plot(result[\"mgrid_cents\"],analytical_product_kernel(time, result[\"mgrid_cents\"]),\n", " c=c, ls='--')\n", " else:\n", " ax.plot(result[\"mgrid_cents\"],analytical_linear_kernel(time, result[\"mgrid_cents\"],a=0.5),\n", " c=c, ls='--')\n", " ax.legend()" ] }, { "cell_type": "markdown", "id": "d855c410-94a3-4ed3-8f94-8da7cbf3a5ee", "metadata": {}, "source": [ "## Constant Kernel\n", "\n", "\n", "$$\n", "K (m,m')= 1.\n", "$$\n", "\n", "From the figure below it can be seen that the Representative particle approach does not have the issue of artifical particle growth" ] }, { "cell_type": "code", "execution_count": 5, "id": "89402b40-1e2d-4574-8f6c-e92f9cb7b1cb", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlQAAAG1CAYAAAA/aGqTAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAADOz0lEQVR4nOydd5hU9fX/X9Nne++NpXeWLiogICoWrFhiFDXRqNhj/GmMRv1qNNGoiWKNLWoUsSvFRhEV6b3Dsmxhe2+zU39/XKaxM1unz+f1PPtw5947955ddmfecz7nvI/MYrFYEAgEAoFAIBD0Gbm/AxAIBAKBQCAIdoSgEggEAoFAIOgnQlAJBAKBQCAQ9BMhqAQCgUAgEAj6iRBUAoFAIBAIBP1ECCqBQCAQCASCfiIElUAgEAgEAkE/EYJKIBAIBAKBoJ8o/R1AMGI2mzl+/DgxMTHIZDJ/hyMQCAQCgaAHWCwWmpubyczMRC73bE5JCKpesHjxYhYvXoxer+fIkSP+DkcgEAgEAkEfKCkpITs726PXlInRM72nsbGR+Ph4SkpKiI2N9ck9tx88ym/fP4jFbOLX+2cRExXhk/sKBAKBQBAqNDU1kZOTQ0NDA3FxcR69tshQ9QHrMl9sbKzPBNXpE8Yge28/8ogYNuw/xiWzpvjkvgKBQCAQhBreKNcRRelBglwuR6uvA+CnXYV+jkYgEAgEAoEjQlAFEZkR0ursrpJ6P0ciEAgEAoHAEbHkF0SMyornaBWUtoqyN4FAIPAkZrMZvV7v7zAE/USlUqFQKPxybyGogojTRg3g66p62lTx/g5FIBAIQga9Xs/Ro0cxm83+DkXgAeLj40lPT/e5rZEQVEHEWaeM4b+r32fssCSMRhNKpX9UuEAgEIQKFouF8vJyFAoFOTk5HvcmEvgOi8VCW1sbVVVVAGRkZPj0/kJQBRFJcTGseOpmf4chEAgEIYPRaKStrY3MzEwiIyP9HY6gn0RESJZCVVVVpKam+nT5T0hxgUAgEIQtJpMJALVa7edIBJ7CKowNBoNP7ysyVEHG8eo6Pl61mQ6DkT/99lx/hyMQCAQhgRgjFjr46/9SZKiCjLeW/cSz2wy8/Mtxf4ciEAgEAoHgBEJQBRmzJwwHwBSVTJuuw8/RCAQCgUAgACGogo6powdj0bchU6j4YeNuf4cjEAgEghDluuuu46KLLvJ3GEGDEFRBhlwuR9NeC8CPO4/4ORqBQCAQCHrGgAEDeP755/0dhtcQgioIyYiQzOd2ldT5ORKBQCAQCAQgBFVQMiIjFoCSZuHqKxAIBOHIGWecwe23385dd91FQkICaWlpvPbaa7S2tnL99dcTExPDoEGDWLFihe05e/bs4bzzziM2NpaYmBimT5/OkSPSSofJZOKee+4hPj6epKQk7rvvPiwW5zFnrjJMBQUFPPLII7bHjzzyCLm5uWg0GjIzM7njjjts8R47doy7774bmUwWkl2VQlAFIdNG5gLQooz1cyQCgUAgsPLll19y99138+WXX/rkfu+88w7Jycls3LiR22+/nVtuuYUFCxZw6qmnsnXrVs4++2yuueYa2traKCsrY8aMGWi1WlatWsWWLVu44YYbMBqNAPzzn//kzTff5I033uCnn36irq6Ozz77rFfxfPzxxzz33HO8+uqrHDp0iM8//5wxY8YA8Omnn5Kdnc1jjz1GeXk55eXlHv95+BvhQxWEnHtqARv3f8XpowdiNpvFqASBQCDwM19++SUXXnghCoWC559/ni+++IL58+d79Z7jxo3jL3/5CwAPPPAATz31FMnJydx4440APPzww7z88svs3LmTL7/8kri4OD788ENUKhUAQ4cOtV3r+eef54EHHuDSSy8F4JVXXuGbb77pVTzFxcWkp6dz5plnolKpyM3NZcqUKQAkJiaiUCiIiYkhPT293997ICLeiYOQlIRYFv/xaq46+1QhpgQCgSAAWL16NQqFApPJhEKhYM2aNV6/59ixY23bCoWCpKQkW0YIIC0tDZDGsGzfvp3p06fbxJQjjY2NlJeXM23aNNs+pVLJpEmTehXPggULaG9vZ+DAgdx444189tlntgxYOCDejQUCgUAg6CezZs2yiSmTycQZZ5zh9XueLI5kMpnTPmudktlsts246w9yubxTXZXjeJecnBwOHDjA4sWLiYiI4NZbb2XGjBk+HwHjL4SgClI27D7EH/7xLn98YYm/QxEIBIKwZ/78+XzxxRfccccdPlnu6y1jx45l3bp1LsVNXFwcGRkZ/Prrr7Z9RqORLVu2OJ2XkpLiVPvU1NTE0aNHnc6JiIhg/vz5/Pvf/2bNmjWsX7+eXbt2AdK8ROvsxFBE1FAFKSt+3cM3dYkom8r4p7+DEQgEAgHz588POCFl5bbbbuOFF17gyiuv5IEHHiAuLo5ff/2VKVOmMGzYMO68806eeuophgwZwogRI3j22WdpaGhwusbs2bN5++23ueCCC0hISOChhx5CoVDYjr/99tuYTCamTp1KZGQk7777LhEREeTl5QFSl+CPP/7IlVdeiUajITk52Zc/Aq8jMlRByqzxUjGhITIFXYfez9EIBAKBIJBJSkpi1apVtLS0MHPmTCZOnMjrr79uWyL84x//yLXXXst1113HtGnTiImJ4eKLL3a6xgMPPMCMGTM4//zzOffcc7nooosYNGiQ7Xh8fDyvv/46p512GmPHjuWHH37gq6++IikpCYDHHnuMoqIiBg0aREpKiu++eR8hs5y8ICrolqamJuLi4mhsbCQ21j/WBUajiUH3fY5MreXVC7M5e9o4v8QhEAgEwYxOp+Po0aPk5+ej1Wr9HY7AA3T1f+rN92+RoQpSlEoFal0NAGt3HPZzNAKBQCAQhDdCUAUxaRqpHXXHsRo/RyIQCAQCQXgjBFUQMywtBoDipvDx+RAIBAKBIBARgiqImTYiB4AmuRhBIxAIBAKBPxG2CQFKVZOOquYOt8dTYzRcOGMiJtNmzpp6lg8jEwgEAoFAcDJCUAUo728o5l8/HHJ7/M45Q7h77lD+cMlsH0YlEAgEAoHAFUJQBShXT81l7sg0dAYTl72yHoDrhpi47JyZgJShEggEAoFAEBiIGqoAJTVWy+isODav/8m27809Bjb+vJbRWXGkxkreGp+s2sjc+17m2ife9lOkAoFAIBAIhKAKcFZsPmDblqu1LNu43+n41kMlHJLnsr7Mfb2VQCAQCAR94YwzzuCuu+7q1zWKioqQyWRs377dIzGBNPj5888/99j1PIEQVAHOvEnDbNtmvY7zpgx3Oj55WC4AepXo9BMIBAKBf7nuuuu46KKLnPbl5ORQXl7O6NGj/ROUjxCCKkCpatKxu6yRSdNOt+27YZSKKafNZHdZI1VNOgAmjRgIgCwilqq6Rr/EKhAIBAKBOxQKBenp6SiVoV22LQRVgPL+hmLOf+EnW0E6wNuHFJz/wk+c/8JPvL+hGIDstCQsuhYANu494pdYBQKBQOB7Vq5cyemnn058fDxJSUmcf/75HDkivQ9Yl9k+/fRTZs2aRWRkJOPGjWP9evt7Sm1tLVdddRXZ2dlERkYyZswYPvjgA7f3e+yxxxgzZkyn/RMnTuThhx/mkUce4Z133uGLL75AJpMhk8lYs2aNyyW/PXv2cN555xEbG0tMTAzTp0+3xb5p0ybmzp1LcnIycXFxzJw5k61bt3rop+Y9QlsuBjHWLj93OHb5KfVNmLTR7DxSxvmnT/BFeAKBQBDStLa2uj2mUCichu52da5cLiciIqLbc6OiovoU4z333MOYMWNobW3l4Ycf5uKLL3YSLg8++CDPPPMMQ4YM4cEHH+Sqq67i8OHDKJVKdDodEydO5P/9v/9HbGwsy5Yt45prrmHgwIFMnTq10/1uuOEGHn30UTZt2sTkyZMB2LlzJ9u2bWPp0qWkpqayb98+mpqaeOuttwBITEzk+PHjTtcpKytjxowZnHHGGaxatYrY2Fh+/vlnjEZp6kdzczMLFy7k3//+NwD//Oc/Offcczl06BAxMTG9/jn5CiGoApTUWK2tk687YuR6GoBDx+u8GpNAIBCEC9HR0W6PnXvuuSxbtsz2ODU1lba2Npfnzpw5kzVr1tgeDxgwgJqazvNXLRZLr2O89NJLnR6/8cYbpKamsnfvXlv89957L+eddx4Ajz76KKNGjeLw4cMMHz6crKws7r33Xtvzb7/9dlauXMnSpUtdCqrs7GzOPvts3nrrLZugeuutt5g5cyYDB0rlJxEREXR0dJCenu427sWLFxMXF8eHH36ISqUCYOjQobbjs2c7+yu++uqrJCQksHbtWs4///we/3x8jVjyCwFSIqX/xtJ613/QAoFAIAg9jhw5wm9+8xsGDhxIbGws+fn5ABQXF9vOGTt2rG07IyMDgKqqKgBMJhNPPPEEY8eOJSkpiejoaL799lun55/MjTfeyAcffIBOp8NgMPD+++9zww039Cru7du3M336dJuYOpmqqipuvvlmhg4dSlxcHHFxcbS0tHQZVyAgMlQhwL9uvgCLxcKI/Hn+DkUgEAhCgpaWFrfHFAqF02OrQHGFXO6ctygqKupXXI5ccMEF5OTk8Prrr5OZmYnZbGb06NHo9XrbOY6iRSaTAWA2mwFpKe25557j+eefZ8yYMURFRXHXXXc5Pd/VPTUaDZ999hkajYaOjo5OmbLucFwCdcV1111HdXU1zz//PHl5eWg0GqZNm9ZlXIGAEFQhwMiB2f4OQSAQCEKK3tQ0eevcrqitrWXfvn28+uqrTJ8+HYCffvqpm2c5s27dOi688EJ++9vfApLQOnToECNGjHD7HKVSycKFC3nrrbfQaDRceeWVREZG2o6r1WpMJlOX9x07dizvvPMOBoPBZZZq3bp1vPTSS5x77rkAlJSUuFwmDTTCdsnv66+/ZtiwYQwZMoT//Oc//g5HIBAIBIIek5CQQFJSEq+99hqHDx9m1apV3HPPPb26xuDBg/nuu+/45Zdf2LdvH3/4wx+oqKjo9nm///3vWbVqFStWrOi03DdgwAB27tzJgQMHqKmpwWAwdHr+bbfdRlNTE1deeSWbN2/m0KFDvPvuuxw4cMAW17vvvsu+ffvYsGEDV199dbdZrUAgLAWV0WjknnvuYdWqVWzdupW///3v1NUFb0G30Whi7n0vU3DbYkora/0djkAgEAi8jFwu58MPP2TLli2MHj2au+++m6effrpX13jooYeYMGECZ599NmeccQbp6emdTDldMWTIEE499VSGDRvWqXj9xhtvZNiwYUyaNImUlBR+/vnnTs9PSkpi1apVtLS0MHPmTCZOnMjrr79uy1a9+eab1NfXM378eK655hruuOMOUlNTe/W9+QOZpS+tBUHOL7/8wtNPP81nn30GwJ133skpp5zCVVdd1aPnNzU1ERcXR2NjI7GxgeFQnnfnB8giYnn27BQumTXF3+EIBAJBUKDT6Th69Cj5+flOVggC91gsFoYPH84f/vCHXmfFfEFX/6fefP8OygzVjz/+yAUXXEBmZqbbeT4vvfSS7Yc5ceJE1q1bZzt2/PhxsrKybI+zs7MpKyvzReheQ2VoBmBX4fFuzhQIBAKBoG9UVVXx7LPPUlZWxvXXX+/vcAKKoBRUra2tjBs3jhdffNHl8SVLlnDXXXfx4IMPsm3bNqZPn868efNsLZeuknLW7odgJVYurVMfLq/3cyQCgUAgCFXS0tJ46qmneO2110hISPB3OAFFUHb5zZs3j3nz3FsEPPvss/zud7/j97//PQDPP/8833zzDS+//DJPPvkkWVlZThmp0tJSlyZmVjo6Oujo6LA9bmpq8sB34VnSohXUAaX17f4ORSAQCAQhShhWCfWYoMxQdYVer2fLli2cddZZTvvPOussfvnlFwCmTJnC7t27KSsro7m5meXLl3P22We7veaTTz5pMxeLi4sjJyfHq99DX8hNlFpxa3Til10gEAgEAl8TcoKqpqYGk8lEWprzHLy0tDRbO6hSqeSf//wns2bNYvz48fzpT38iKSnJ7TUfeOABGhsbbV8lJSVe/R76wrDsZABaLaKoUiAQCAQCXxOUS3494eSaKIvF4rRv/vz5zJ8/v0fX0mg0aDSa7k/0I2MHZ8POYkyqSMxmcyd3XoFAIBC4RyxlhQ7++r8MOUGVnJyMQqHoZE5WVVXVKWsVSpw+bhjLkuIZlpcpxJRAIBD0EOsYGb1eHxTmkYLusQ6qdjcr0FuEnKBSq9VMnDiR7777josvvti2/7vvvuPCCy/0Y2TeRatRM2pQ4NV2CQQCQSCjVCqJjIykuroalUolPpAGMRaLhba2NqqqqoiPj+80c9HbBKWgamlp4fDhw7bHR48eZfv27SQmJpKbm8s999zDNddcw6RJk5g2bRqvvfYaxcXF3HzzzX6MWiAQCASBhkwmIyMjg6NHj3Ls2DF/hyPwAPHx8aSnp/v8vkEpqDZv3sysWbNsj61OrQsXLuTtt9/miiuuoLa2lscee4zy8nJGjx7N8uXLycvL81fIPuH/vbSUb/dWMWd4Cs/cdrm/wxEIBIKgQK1WM2TIEPR6vb9DEfQTlUrl88yUlbAcPdNXFi9ezOLFizGZTBw8eDCgRs8AnP/Aq+y2ZJOrP8aPz97q73AEAoFAIAgoxOiZAGHRokXs3buXTZs2+TsUl+QlRwNQp/NzIAKBQCAQhBlCUIUQw3NSAGiVCS8qgUAgEAh8iRBUIUTBEKnLzxwRj9ls9nM0AoFAIBCED0JQhRDjh+VjMZuQKTXsO1rW/RMEAoFAIBB4BCGoQojoSC20NwKwef9RP0cjEAgEAkH4IARViKE1tWIx6imtbvB3KAKBQCAQhA1B6UMlcM/qRy8nNSEOpdI/PhwCgUAgEIQjIkPVCxYvXszIkSOZPHmyv0NxS2ZKohBTAoFAIBD4GGHs2Qe8aQwmEAgEAoHAOwhjT0GP+Wn7fsbftphxixb7OxSBQCAQCMIGUUMVYqiUCuqjB2AxGdAbjKhV4r9YIBAIBAJvI95tg5SqJh1VzR2d9iujEyUvKoWK3UeKmTB8oB+iEwgEAoEgvBCCKkh5f0Mx//rhkMtjMrlUlL71wDEhqAQCgUAg8AGihipIuXpqLl/ffjof3zzNtu+6ISa+vv10NC3lAOwrrvJXeAKBQCAQhBVCUAUpqbFaRmfFsXn9T7Z9b+4xsPHntSQqpKXAwqomf4UnEAgEAkFYIQRVkLNi8wHbtlytZdnG/WTGqQGoaNL7KyyBQCAQCMIKIaiCnHmThtm2zXod500ZzsDUOCxGAybhMCYQCAQCgU8QRem9YPHixSxevBiTyeTvUGxce+m5PLXjGwD+PFnFDZfPp03XwZNKpXBMFwgEAoHARwin9D4QCE7pVtsEncHEZa+sB+Djm6ehVUkiKjVGQ2qs1i+x9YiOFjj0Dez5HGqPwNgFMPVmUEX4OzKBQCAQhCjefP8WgqoPBIKgeu67g25tEwDunDOEu+cO9WFEveCn52HNU2Bsd94fmwWzHoRxV4JcZNcEAoFA4Fm8+f4tlvyClKun5jJ3ZJrb47c9/yGLP1vDn+cN44YLZvowspMwm2DfV5A9GeKypH2xmZKYSsiHURdDXDasexaaSmHdMzD2ckAIKoFAIBAED0JQBSmpsdoul/SqW00YY/PYfuS4dwJorpC+3BGTDhGJ8NG1cHAFnPkonH6XdGzYuXDTWsgYBzKZtK/gatj4KiQNAYVK2mcyQOUeyCzwzvcgEAgEAoGHEIIqREnUWGgFirzlRbX5LVj7lPvjM+6DmoOSmFKoQRVpP6aJ7iySVFo47U7nfVvehuX3wujL4ILnQRPjoeAFAoFAIPAsQlCFKJlxWkp0UNFi9M4NJl0Pw+ZJS3dvniPtu2ElKCPAYoafn4e9X4BcBVf+D4bM7f096o4CMtj9MWjj4PxnPfkdCAQCgUDgMYQPVYgyKD0egAaDl2qRYtKlLFP6WPu+9LHSMt7WdyQxJVPAgrf6JqYAzvkbXP2xtL35TSjb0u+wBQKBQCDwBkJQhSgj86SC9Q5llG9v/O1fpKU6ZFLHXlwOHN/u/NVV7RVIx63nRiXD4LmABT67BUq3dP98gUAgEAh8jFjyC1EmjciHtdshMp7m1nZionzg71R/DPJnwIZXwGyEVY9JXycz836Y9YD767irz6o5AP+Z3f3zBQKBIMhoqa+jtb7O7fGohESiExJ9GJGgtwhBFaIMzc3A0vEzMn0rhWVVjBua550b1R+zb78+G25dDzeuAotFqoH6+DrpmEIDC96WLBNi0ru+pqv6rGmLYP1iUEefsFUQCASC0GHn9ytY//EHbo9Pu+wqTl1wtQ8jEvQWIah6QSCOnnGHXC7n6D8vQy738qpuyQb7trEditdDwW+kx8e32Y+ZOkDXAMPP7f6aMenSl77Vvm/m/dDeABOvh6RBnohcIBAIAoaxZ85j0MSpGPV6PvzrfQBc+eg/UKqlYfdRIjsV8AhB1QsWLVrEokWLbE6rgY7XxRSArtG+rdBC7jT745yp9m1lhPOx3tJYChe91PfnCwQCr9La2EFbo97t8cg4NVFxGh9GFFxEn1jSM+h0tn2pAwai0gbwCDGBE0JQCfpOa61kj2DlptWQmG83/XQcLXPRy5L4Or7dnoHqDlfLiYn50uO6QojNBqXaE99JQFHdVk11e7Xb4ykRKaREpvgwotDBUFWFsdr9z1aZkoIqNdWHEQUP3QmmAxsr2PF9idvjk88bwJQLBnojNIEgIBCCKoT52ztf8eaGcjK1Rn589lbP3+C7h6C93v444USdlquicmstFfS8qNzVcmJiPvz6Mnz3Vzjjfph+T5/DD1SWHlzKyztednv82pHXct7A89weF4LLPQ1LPqJm8WK3x5MXLSLl9tt8GFHwsOfHMjYtK3J7fNycbC7/82SMehOfPrMVgEvunYBSLVm3RMaF3ocfgcARIahCmA69EWNsFuVNpZ6/+NF1sP19QAacNF/bWlTujp5kp8D9kmFEglSTtfYfMOYyiM/tTeQBz4KhCzgj5wx0Rh0LVy4E4J1z3kGrlFL/ywqXccXXV7h9/i3jbuHWAi8I6BAg/orLiZ49C4tOx7GrfwtA5nPPos6VfoeUKUKIumPUjCzyx6V0KZii4jQYOuw1psk5Mag0Yi5nX2moqiQlV/qgKroAAx8hqEKYUfkZcKQWvcrDI1uMHfDl7dL28PNg/9fSdsVOSfhAz5f1uiLBoTPxxlX25b6xV8DW/8Kxn2HF/XDV//p3nwAjJVLKMLUZ2mz7hicOJ/LE+J6UiBQyozNRyBQ8seEJAO6deC/PbHkGpVzJ14Vfs6VyC1nRWWRGZzI5fTIRSrttRjhnsFSpqahSU9EdPGjbd/yBPzPoqy9R5+TY9lmMRnT79qNMTECVleWPUAOOqDiNEEw+oKGq0rb9/oN3c90zLxGfli66AIMAIahCmMkj8uH7WmQRcdQ3tZAQG+2ZC2/6D9QflbatYgrsFgfgea8oR3Elk8F5/4RXTocDy+DAiq4zYiFEva6ef275J8sKl5ERlWHb/69t/0ItV6M36ylpLqGk2X0ti8hgQdu27fYHOh2NX3xJ1GmnEjl+PABmnY6iBQtALif55ptJvvUWZErxctkdJqOZvT/ZB7I31bQTFaehcEc1A8YkExkbvst+Pc0wHT+4z7bPpNdzbOc24ufOY+yZ81CoVBRt30rpvt0AnHfn/yMhPcP2fIF/Ea8QIUxeRgoWfRsydSQb9xzh7GnjPHPhiddDfRHEZMCg2a7P6So7ZS1ad0dPslupIyRvqp//BSvug/yZoI7s+jlBjMViYcXRFTy54UnqO+qRy+TkxeZR3loOgMFs4LFTH2NKxhS2V21nX+0+ipuLWV2yGoDbCm5jevZ0QMpQhTsRBc5/CzUvvkjrr+vJevZZW9G6MjMT4/Hj1Lz0Ek3ffUfKXXcSMWaMKFp3oKmmnaSsaMxmC4c2VbLxq0Kaauxdakuf2sSUCway/tMjIIP0/FgGjE0mf2wKCRmRyGQy27mh3iXYkwzTtEuvouroEaf9McnS71t0QiJmk8kmpgCWv/A01z/3KgnpGbTU11FZeNjt9cWSoPcRgiqEkcvlKHSNmNWR7DxS5jlBpY6Ec5/u+/PdOaFbmXYbjFng3CXoajlxxn2w6xNoKIbdn8CEa/oeU4Bz26rb2Fy5GYDB8YN57NTH0Cq1XPLlJQBoFBompU8iKzqLrOgszht4Hm2GNqb+T6pDu2bkNbYlw3DGUFWFobKSutf/47RfHh2NTKGk9s23qH/77U7P0x86RNmi24iePZvsxS86CYFwo6nG/nf50ZMbmX75MHatKaXuuOQbp9IqMOikZUGTwUJzrY7UvBiqjjVTUdhERWETv35eSGySlmmXDCYuRfq7DvUuwe58ptQRkXz57JMc3rTe9pyMIcOJS7EL+PyCSdSWlXLg57UAWMxmVr70LJc//DexJBgACEEV4kTLOmgCDpbV9P9iNYcgcSDI+1kz4coJ/YaVdsG0cym8NtP5Oa6WEzXRMPE6ybqh3X0qPVgpaymzbW+u3IxSpuSmcTfx+9G/R6VQOdVYfXDeB+TE5Li6jBMGswGVXOWVeIOB+v99QO0rr3Tab25poW3DBrQjRjDgk4+ditaz/vU8Na++RsfevbSsWkXZ3feQ9czTYbsEWHHE7j1nNsLa/x0AQBOpZPxZuWQPS+Djv0uDzBUqGQVn5hKXEsFPHx1kxyp7g0xTrY5vXrdnW0K9S7Arn6nGqko+f/r/qCkuQq5UYjYaAVjwl8edfKjSBw1h6kWX2wQVwPED+/j0qUeZc8MtwhjUz4TnK0IYkRGtoKmlGmVyP/+r2+rgzbMhYQBc8Z40QqavuHJCTx8L6ij78bELun6+lal/gFNvA5UPZhX6mO1V250e31JwCzeNvcnmU6Uz2l+Ym/XN7K3dC7guOi9rKSNGHcOiHxZx/ejrOX/g+V6PPxDRjhoJJwxvk2+/jegZM5yOW32ozG12sarOzyd/6UfU/ucNql94AWViQtiKKYD0Qc6mxgqVnHFzchg/NxdtlMqpaH3B/ZNtGajxZ+cx7JQMGqra+PY/e6QTZHDOTaOJTYoI6y7Bb197gZriIqLiEzj39j+x9P/+3Okcaw2WUW9fFp184WVsW/ElpXt3UXe8lMGTpgpjUD8Svq8KYcI3f7/ZMxf67mFoq4WoVIhM9sw13dGbDkFtrHdj8SMFqQW2bbVczbx8qfDelU+V1V4B7EXnjhmuq5ZdxYKhCzhYf5CHf36YtMg0JqdP9u434Ae6M+6MGDeOjMcfR5EQT8ysWW7P05faMylHL7+CQV99SfIfbiLq9NPQDAzeZSdPEJts//AyfFoGp1w00G1tk+O51i7BqqIm+wkWMOhMpOR6uBM5yDj7D3fw/X8WM/em29FGuW4ecrWkt+mLj23bVUcPM3jS1JOfJvAhQlD1gmCa5edRjv0C296Vti94PjDdyS0WaCwJCU+qBl0DHx38iCuHXWnb9+H5H9qW9Kw+Ve6wFp07Zrg6TB0MTRjK3Ly5fHfsO+5afRfvnvsuA+NCSxx4yrjz5C7Ats1bUOfkoExJoaOwEABTYyMNHy0l6rRT0Y4cCYS+03pjdRvaaPvf/4wrh/Y4g2QtOldH2t925EpQRyqpKGxErpCRmuf8Acla9B7qxKakctbNd9JaX0dTdZVtf1VRoW3JbtDkaQya6F4wWZf0akvd16EJvIsQVL0g2Gb5eQSjHr66S9qesBByT/FrOC5pb4D/nClZOfzpsGT8GcB0NVrGbDHz3Jbn2FixkcLGQtv+rGi7F5LVp6o7HDNc1qL1efnzqGyrZGf1Tm79/lbeP/d9kiKS+v7NBBiujDtVmZlYgIzH/w/N4ME9uk7k+AL7A62WyEkTAdeCrXnlStt2sDutd9Vp19rQwQ/v7CM1r2/ZJFdO62YjrHh5FwARMSqueeJUp6L3pU9t4qqHT7EtG4YCRn2HbXvX6u+YMO8CwHUGyloLBT0rKm+pr+OLfz5he+xoDCrwPkJQhTj7i8o47x/LMcnVFP77mt4PTN70OtQcgKgUOPMRr8QISHP70kb27bkR8aBQS6/O+5fB+N96NDRP091oGQCtQsuVw65kWeGyPt/HUYQ5Fq2/MPsFrl52NaUtpdyx6g7+c/Z/nIw/gxmrcadjDZTh+HGU6emo0jN6nD1SZ2fbtvM/WmIz/XQl2ABS/nQvUaecEvRO692NlwFobXIjuE6IMaPensGvKWm2FZXnF6SQP67zz0fXYuDbN3bT3mzgpyUHnbJUJoOF8sMNISWoVr39mm177XtvMHDCZOLT0m1dgO7oSVG5NiqaxKxsWuqkJqT3/nwX1//zZeLT+mmyLOgRQlCFOGmJcZhOFJCXVtWRm96L+ieDTvJ5Apj9F4j0cJdIV8OPe8uoi6BqD+z5POAFlbvRMvvr9vPUxqewYOGhaQ8xNGGox+7pKK5MZhN/nPRHHvr5IXbW7OShnx7ihjE32I6HgpO6ud2e5VDl5pL31pt9djx3FFeunNYBGj74kKRrr0WmCu4OSlfjZS6+Zzy/fllI+eFGNJFKJp83gJWvSt15joLJle2B9RrQte3BWTeO5st/bWfvz+XEOognhUpGxuB4T36LfqVox1b2O3TomY1GyvbvIT4t3dYF2B+UajWDJp1C8a7t0vUNBtv1Bd5HCKoQJyE2GktHGzJNJAeLy3snqJrLJfNOhRrG/cbzwbkbftwXRl4Eq5+AwjXSwOYAXvZzNVomVh3LSztewoKFCwZewOD4weyv2287vr9uv22WX38Fz8kZsm+OfcM3x76xPQ4FJ/XqF1+0bee+8Z8eiylrUbvFoVNKt28fshOdUtYaKacaK8BQWkrDJ5+QcOWVBDOuxssc3lpF+eFGZHIZHW1Gm5gCZ8FktT1wR1e2BznDE5k0bwCblxexZYX9g5Zjl2Cw097SzDcvP++0T6FWkzV8lEfvkzNyjNPjjCHDPXp9gXuEoAoD5PoWLJpIjpRWc+aUXjwxMR9uWiMJK28UorsbftwXUoZC6kio2gv7l8P44DKwu3ftvTR2NDI6aTQZURmdhh+76uJzhytbBUdBNjtndpfDlwPZSb27Lj5lSgqGkhIaPlxi2+eYreoOVzVSjkt71hoppxorpRKMRqpfXEzcBRcgj4rq8f2CgV1rpG7RGVcOJW2A+67a/jqZTz4/n+OHGjh+qMG2z7FLMJixWCx8//piWurrSMjIor5c+ple/cRzHs8exaemOT2uPHKQxEwxj9IXCEEVBqgtHXQAx6rqe/9kmax/nlNd4W74cV8ZeZEkqPZ+HhSCytHW4EjjEWLVsTx7xrMo5Urm5M1x+7zuBE9PbRXcDV8OZHrSxde2caPU9XkCq+2B4/Bjd1hrpNwik9O+Z49TBivjyb9R/cw/MVZWUv3yK6Td+8eefTMBjGNhOMDY2dmMnuHdN2W5XMZZvxvFh/+3EV2rwav38jUle3Zy8NefkCsUnPWH21nyyP1AZ/HjDX797COGnzYTWW/rZwW9RgiqMCBKbqIDOF7X0rMnmIzSAOSC3/jO5ynBA50ooy6CNX+DI6sDftkPOht3Lhi6gIxoadBpf5b0emqr4Mhff/krC4YuYEpGb1KYvsdVUXje++85LcklXnsNpXfeRduvv0pPcrA96A5rjZQ7ql94sZOgK/+TvRMLs7mX31Fg4uiGDpCc7Rvrgqh4DbOuGc6KV3b55H6+ImfUWM66+Q46WlpIy+9Zp6kniE5MYuCEyRgNelQaYfDpbYSgCgPiNDLqgKqmHi597P4YVv4/qcNv0Sabs3TAkzIMpv9RWjpUB753zcm2BpcOvdQj1+2prYJjhmxl0UoaOhoCXlC56uLTjhiBPNI5u5b25wc4Ov/CEyfYbQ/6S3cZrGDv8rPi6IauUMnIHOL9DyfWLsGIaHthv2PRezAPR5bJZIyZdRaAk5O5t1n49GK00YH/WhgqCEEVBmQnRHC0vIronoyfMZtg3T+l7YKrg0dMWZnzsL8j6NJnCuxF5Y6WCD2dxedJTs6QbSjfQHlLuS1LFkyY9XpaVq8h5qy5yGQyt7YH/aW7DJYtno4O5JrgfPM/frgBudw+/NlXheGuLBt62iUYCFhHwzhSum83KQMGoomIJMoDXXy9RRHGI5L8gfhphwHv/uX6np+89wuoOQjaeJj8e6/FFMp05zN1y7hbOC3rNN7Y/YZtn6Otga9wzJDJkGHBwtKDS7ljwh0+j6U/6EtLaVq+nNpXXiXu0kvIfOIJp+OO4srbtG7cSNU//4kiOoaUe+7udDzQndRNBjM/vLOPZocaKl8VhlstG6w0VLVxZEsVSdnRDBiTHPDDkV0ZczrSE2PO/uBq1p/Vab3y6BHKDx/grJtuRyaTdXEVQX8Qgkpgx2yGH5+Rtk+5JXjn5FXugZ1LIHsKjPD9EGB3PlPWLjqZRcZDvzzk9BxP2iL0FEcRd++ke3l689N8cugTbh53M2pFYL95Oc3au2wBGI0ARJ9xhp8ikmj6ehm6HTsBaP35507HA91JfceqEpqq24mMVdPmxsDTW1gtG6yUHaznyLZqmus7mHxePxtWfIDVmNOo1zs5nOeMHMOM396ATKGgsvCwS8ED9DuD1Z3TOsDwaTPIG1vQ53sIukYIKoGdgyskc0x1DEz9g/fu01whfRkdaroqdkrWCdC74ciu2PeVZEg65Cy/CCpXPlOOXXT3rrmXA/UHnJ7TG1sEb3DR4It4Z887VLVX8e2xbzl/oO9/br3ByQfqxBtUzLxziJ071z8BnSD5tkUYKipo/fFH276Ti+YDldbGDjYtOwrAiNMybH5Q/qpjGjolnfWfHqGqqIna4y0kZQZ2LZDVmNOxRkobHcP5d99PZGwcvyx9v9+jZbqiK6f1TV99yoFffuTXzz4UgsqLCEEVBhwtq+TMJ77EqNBy5LnfoFS6GGZqscCPT0vbU270bofc5rdg7VPO+948x749836Y9UDfrz/yIljz5IluvwZpNE2AYDAZ2F0rGSNeOuRSLh92eadzvO0D5cqn6nDDYWbmzGTpwaW8t/e9gBdUTj5QgDwujvSHHuqxMae3UKWmkv7wwxTOm4fFILX+y2Ni0A71nOu9t/j18yMY9VKXoqO5pr/qmCJj1eSNSeLojhr2/1LOaZcN8cl9+8uRrZts23pdO/r2diJj4zwyWqYrunJan/nbGzi04WdK9+5m1w/fkJo/yOX9fV3jFWoIQRUGpCXFY4rNRAYUllUyNM+Fr5ShDZKGQM1hmLbIuwFNuh6GzXN/vLvslDXD1dXzU4ZD9X44sFyyfwgQPjr4EWUtZSRpk/jT5D8RpfK9CWR3PlUahQaj2YhSHrgvDyfXRWX89WGUiYkubQ1cGXN6N7YsYs6dR9MXXwK988HyF5VFTexfL/1NzVk4gqQs19kgX9cxDZ+WwdEdNRzYUMEpFw9CoQj8JplfP7FnoTw9WqavxCQlk5w7gKqjR/j2tRdcnuPtGq9wIHBfMQUeI1KrwdLehCwiloMlFa4FlToKLn3dNxmd/i7pucpwOTLzfhh1sZSl2vN5wAiqZn2zTcjcWnCrX8QUdO1TZbaYSYtMC2gxBZLztJXoWWcQM08S6IFia6AZPgJOCKre+GD5A4vFwrol0mzCYVPTGT4tcLo888YkERGjor3ZQPHuWpfDlQOJ0r27qS0ttj32xmiZvjLnd7fy4cN/wuLglXblo/9wquES9I/AftUMMBYvXszixYsxmUzdnxxgKAxtmCNiKSyr6frEAFoec4s1w2Vsty8VXva23WldJoe6Qmn7yA9wdB1oYuzP76+g6yNRqigenPogXx35ikuGXOLz+1vpzqequq2avbV73T8/wIYnp91/v61zqae2Bt4m+rRTsRlnKJUe88HyBhYLDJ2SRmtDB9Mu7rwU5E8UCjnDpqaz/fsS9v1SHvCCKi4tnVEz57Bn7Q+Ad0bL9JXMIcMYOX2WLTaA1AEDUWmF4aenEIKqFyxatIhFixbR1NREXFxc908IIDToaQeKqxs6H1z3LIy4AJKDo0bBJogqHd70P78Fbj0xXHn1k/YMltkI75xUD9TfGq0+UNZSxpCEIczLn8e8/C6WOwOAjw58xCs7X3F73J/Dk13VSBlrajC1SFMAAsWWwHFJMu+9dwM2OwXSyJexs3IYNSMrIJfUhp+awaHNVT5za+8PMUnJzLnhFpto8cVomd4w5aIFlB3YR0PFcQAaqipJyfXAlAoBIARV2BCtMNOOi/EzJRvhh0dhzVPwx/0QGURp35IN9m1jOxSfEFTWDNbG12D7+9JxxwyWj7JTjk7kV359JZ9f9LnPzTv7QpxG+rCQFplGZVslEDjDk3s6vNhfuBJ8mEy079kDBI7gs2KxWGzZvUAUUwBJmdEs/NupyOSB7Z/UlQ8UBEbRd2JmNhfc82fevU/6G3n/wbu57pmXAiaLFuwIQRUmxGvlVAM1LR3OBzacyESMWRBcYgogx6FjRhkhjZwBewZr0u/sgsoxg+UjHJ3I9WY9r+54lcdPf9xn9+8rlwy5hBe3v2gTUxA4w5PjLl9A6y8/oxk+nNjzzkMe4Ww66W9bgkAXfNbxLgAt9Tp+/vgwY87IJmNwHDKZLGDHu8jkMqfYXeHP2A9u+JmfP3yXuuOlTvs9aYvgKcoP7bdtm/R6W9G8oP8IQRUm5CRFcrikipgkh//ylirYe6JwdsqN/gmsPzgOVL5xVWexVLHTvu2YwfIRjk7kAC2GHg6n9jORqkjmD5rPB/vduz77i459+2jfth3d/gOk3HYbyqQkf4fkxMlF8cbaWlpWrcKs05F4zTV+F3yuxrv8tPSQbTuQx7vsXlPKZgc7h5PxduyuRssAmM1m1r77Bk3VVYyZfTbj5rpe0g+Uou/MoSNs23KVKmCK5kMBIajChDfvX9h559b/gtkA2ZMhs8DnMfUZV8agHY1wfLu0bc1QOWawFFp7BstHODqRq+Vq7p9yv0/v3x+uHHZlwAkqi8VCzYtS9ifhN1cFnJiCzkXxun37aPhwCTKtloxHHkHu5wJg63iX8iMNrFsiCSlHm4RAHu/SVCstow4sSKZwu9Rcc8m9E5xMR71Jd6NlFCo1M6+5AU2kf7p3e4pjXde4M88V2SkPIgRVuGI2SfYDEHwz+7ozBj3lNhi7wFlwJQ0E3QnR5aMuP6PZaNu+avhVpEcFzwvXwPiBTEybyJbKLf4OxUbLmjXodu9GFhFB0u9+5+9weoRm+HCUmRkYj5fT+st6YrqwdPAF1vEuP39sz0ql5Ma49Z0KJIafksHBjZWUHmiw7UvOiUGlcWFU7AVcjZZZ8NDfWP7iM7TW1zHp/IsDXkydTNXRQ92fJOgxQlCFKwe/gaZSiEiUnMWDie6MQXcthddmOu+r2mvf56MuvzUla2zb14661uv38zTn5Z/nc0FlLeo+GYvFQtUz0pzJxKt/gzIxMJZPukMmkxEzazb1779Py+pVfhdUAFXHmig72GB7vPSpTVz18CnEpfhmCHJfyRqeQHSChpb6ju5P9gKuRstUHyuktb6OqPgEpl68wC9x9YfyQwfoaGtDE+n/+shQQAiqMKG0spaZj36KURnBvn8sIFLXAJFJUHA1qILMh6S7DFNMulRkD5JtwlvngqkDFrwDCQN8kp2yWCy8v+992+NoVeBnAE5mUtok2/axpmOMSBrRxdmewVVRtxNKJYlBkp2yEj17FvXvv0/z6jWkm83I5P7tptv6TbHTY5PBQvnhhoAXVHK5jOHTMti8vMjfodjY+MXHAEy95ApUmsB+HXXVhWg2mdj5w0pyR40NiC7EYEcIqjAhNTEOY3QaMrmCQ8UVjCv4DYy+FBzmuYUMJwuurAlSQbqhzWe1YgfqD7C3zr05ZjBgtNiXLK9ZcQ2fXfiZ120frEXdFp3O1h2X9/57lP/1EfSHDxN/xRUoE7w4Z9ILRE2ejDw6GlNNDbqdO4koKPBbLE017RRuq3Lap1DJyBgc75+AesnwaekBJajaGhuITUlj7Jyz/R1Kt7irAfvxvTeBwOlCDGYC03hE4HHUKiXomgE4WHJiDp5SA9rgMijtE1knXKrLfLd8NTxxOO+c847P7ucNHG0fOkwdbK3c6v5kD6FKTSVi1Ci0I+zZMO2IEWS/8G/iLr2ElNu8PGfSC8jUaqJnTAegedVqv8YSk6TlvEXjKJiba9u34P7JAZ+dshKXEknGIPtrVlNNexdne5+J51/MjKuvQ6FU+TWOnjD2zHn89snnbV+zrrsJgMi4eK7+23OMPTOwDYeDASGowgilsQ0Neji8ChzmOYU8VkFVutknt3M1umV/3X721u5lb+1eqts61wgFIo62D2q5mglpE/wWiyY/n8wnngi67JSV6NlzkEdHg8W/f3dtTXoiY9UMHJds26dvN1Jd3Ex1cTOtjf6pT+oNOaPsy1JLn9pEY7VvRVVDld2fbfu3y0gbGBwTJqITEkkbONj2NWbO2ShVatoaG9BGRYvlPg8glvzCCC0GzpH/yoLyV+Dd9bDwS3+H5BusgqpyNxh0Xq8Z+2D/B7y+63WnfQtX2m0r/Dm6pTc42j6oFCqbg7qg98ScNZfYs+ZibGiwuaa7wptO6hazxaUP1afP2DOPgexDZUWjtb9t+aP+q3S//f8vmI0xVWoNF933MCl5A4iMi/d3OCGBEFRhRIzKwjXK7wBoyTqdorJGt+emxmhIjQ3sIsseE58Lw86FpMGSlYIXBVWdro4P93/I7JzZXD/6etSKzt44/hzd0ldaDa1sqdjCrFzfd6mV3vNHMh57NKBGtvQW+YnxI90V3XvLSV2vM7LkiU3kj03ikj9NRKlyvTgRyD5UVrKG2bOU/qj/aqwst99frQ5qY8y8sQX+DiGkEIIqjJgSWU6B/AgGi4L3Ombw1As/uT33zjlDuHvuUB9G50VkMrjKNyaVSw4sodnQTEVbBeNSxtnmpIUCGys2+kxQ6UvtIzxa16zBWF0d1ILKStzlC9CMHoUyNtap6F52wvDTW07qe386TlN1O8d213HqpUOQB/hcvK6ITbZno3xd/2U2mzj068+2x1c/8VxQZqcE3kEIqjDiiqjNYIRfLGO5ZHoBpxd0oDOYuOyV9QB8fPM0tCrJJC81JvDmeQU6OqOOD/d/CMB1o64LKTEFsLnSNzVoAK1btzk97jh4iIhRwZsJADC1tFJ8zbUYysoY/N23tv3aESOQe9EHyGQ0s/37EgDGz80NajF1Mstf3sVvHzvFZ4OTj2zeQFONvUvS0XU8WNm9+jv2rlvN5PmXkl8w0d/hBDVCUAUr1vEr7jjZOqC9ntPYDsDM3z8FsVpSY7W06e2t8SMzY4lUh/CvRHsDVO6BAad55fJfF35Nna6OjKgM5ubN9co9/MmBugM0djT6pJZK4SgwNBoiJwX/C70iOkoa5mwy0fLTz90/wUMc3FhJa0MHkXFqhk0NrWxKU007deWtPnN637biK5/cx5dUHDlEyZ6dJGXnCEHVT0L43TPEcTV+xZGT3cC3fyDVD6WNdp5x547eCrZAR9cIfx8AWOC+oxDp2Y4Ws8XMO3skm4TfjvgtSnlo/WkNiB1AUVMRmys2Mydvjtfv17Labi+Qv/Qj1Dne9b/yFdGzZ9Fx4AAtP6617dOXlqId6p3ldYvZwrbvJCPPcbNzULipnQpmyo80+kRQVR87SsneXcjkciwh1CU9oGAiO75bztHtW7BYLCGXWfclofWqH05Yx68Y2+1z7C57GxLzpe2Txc6xE5+IJ/9OqilywX8/Wc7NV82XHvRWsAU62jhIHAh1R6BsKww506OXX1e6jqKmIqJV0Vwy5BKPXjsQmJg2kaKmIjZWbPS6oDLW1ND83Xe2x+rsbK/ez5fEzJ5N7cuv0PqzPUN19PIrGPTVl14RjUW7a6kvb0WtVTBqRlb3TwhCyg83MNoD35vVSdwd6z+RlvOzR4ymZM9OAKqKClGeaDgIVqfx3FFjkCuUNFZWUF9+nMTM0Pw98QVCUAUr1gxRpYPf0ee3wK3r7aLKkSveo2HP95z+8kGa//s+O5+4iLiYKP77yXJAqpv62yYDasWX3HD5fNeC7YaVoIyw3z/YyJ50QlBt8big+t/+/wGwYOgCotXBN2bGkeq2aqrbq9E5uOhnx2QzKmkU0epoqtuqSYn0Xqdiw9KlYDR2f2IQoh01CmVqKsYqB7dynY62zVu8Iqi2fXsMgFEzstBEhObL/fHDDR65jjsncRsnPohaxRRgG5IMwes0ro6IJHvESIp376RoxxYhqPpBaP6FeYnFixezePFiTCaTv0OxU7LBvm1sl0asuBJUMhmxI+fQHNGKTKli/7HjTB09hBWbD4BqJABytZZlG/dIgsoq2PSt9mukjwV1cE1TdyJrIuxc4hXH9L+d/jc+PPAhlw651OPX9jVLDy7l5R0vO+3719Z/AbCndg8KmcKrPloJV10FcjnVzz3vtXv4C5lcTvSsWTQsWWLfqdV6rUZs9jUj2PZ9MePmBP+SaWtjB22Neox6++uvTAYtdR0U7aohJTeGqLi+N9OMPXMegyZOxajX24TSlY/+A6VajcVspuzQAcoP7GXSBZe4XBaLCsLslJUB4yZSvHsnR7dvYcK8+f4OJ2gRgqoXLFq0iEWLFtHU1ERcnJ9NDq01Ttp4+z6FRnp8fLtdEOkaQaYATTRyuRw6mkCZROmRfUxNbOWa0RqMB48CYDHouXaM1vn5oYTjCBqLxe3SZ19IikhiUUHwjUVxxYKhCzgj5wy3x73to6WIjyfxmmtCUlABxMyZ7SSo8j9a4rHslFV0ODJ6ehZtjXraGvVExqn7JTr8iStTUotF+nfZ4p39NiWNPrFkZ9DZM7OpAwaiOmFpkT54KMy7oM/XD2TyCyby4/tvUbpnFwZ9Byp1cP6O+BshqIIVVzVOpg748Cpp21rjtPF1+PlfMOdhmHIjKpMOI5BS+Cls+4zLgMusfzsa4CjwGsFXI9UT0seAXAVtNdBwDBIG9PuSJrMJhVzR/9gCiJTIFLdLevW6eirbKr225GeoqsJYXY3F4U1Nt2+fk09TsPtRRU6dSvzll9Pw0UeAZ2vEXIkOR4LBCd0do2ZkkT/O+fdu5+oSakpbGDY1nSGTg9/CwF8k5eSRkJFFfHoG7U1NqJKDz3w4EBCCKlix1ji5IyZd+vi24wMpK6WS2tAjZAaagWWGycy46S7a21uIePc8ANqvWUZERLT9+SdTfwzSRnr4G/EhSo0kqo5vlbJUHhBUz255ln11+7hj/B1Os+9CkV/KfuEP3/+BQXGD+Pyizz1+fd3+/ZT84WaMlZVO+60GmOA9J3FfItdoSLv//9kElSexio4NXxVybFetdD8lnH3jGGIStEHhhO6OqDhNp+zanIXefz367B+PkZqXz4TzLiIiOsbr9/MHMpmM6599GZk89LpAfYkQVMFKT5bkSjdD7WFJTI2U1sVjVdAMHGxWQ2YBlhb7+BlL2hiIPmkps/6Yffv12e6L3oOFU24FfTNkT+n3pdoMbXxy6BNaDa0065s9EFxgMzJpJDJkHGk8Qk17DckRyd0/qRfUv/8+xspKIk89ldQ/3uPyHG85iYcKUXEa1BFKSvfX2/aZjaBvM5IyLjTFgDcpP3yQwi0bObZjKwVnn+/vcLyKEFP9RwiqUGa71HnGiAtAI72YJkUqKTNDVauJ3WWN6NuamXDi9P3lzahP+CnaZvn1tOg9WBi7wGOXWlm0klZDK3mxeZyedbrHrhuoxGvjGZowlAP1B9hcsZlz8s/x2LVNDQ00fvU1ACm33hL0rujdYbEW/wDm9naPOaW3NnawZ91xTAa7T5JcCepIJdXFzUFdQ9UVHW0GzCYLETGezcDt+HYZAMNPm0lUfEI3Z4cGTTVVqLWRaKODu1vZHwhBFaoYO2D3J9L2uCttuwekxrLrUCWGmDjOf+EnItCx78Ss4Kvf2EA70gPbLD9HE1BlBORO89V3EPB8clD6+V4yxHXXTygyOX0yB+oPsKlik0cFVcOnn2HR6dAMH07ExNB1a3ZVI9b0zbdEjBsL9L9GzFUNldkIK17eBQR3DZU7fv3iCFtWHmPC2XlMu2iQR699aJM0lmt8GHS+tdTX8d2rL1C4bRNTLryMoac4f0gMVp8tXyIEVahycCXoGiAmE/Jn2nb/+66r+DdQ1aSjqrkDmaEN3paOffybAViSBgMOs/wS8uzXvHFVcGenrFTugeJfYfCcPtdRHaw/yM6anShlSuYPCv0XWyuT0yfz3r732FixsU/PtwoKRywmE3XvSC7zsfMvCGlx2rDkI2oWL3baV/nYY7bt/taIZQyJB0Aml3HBbePQRqucjgdzDZU7YpMjwCIZfHqChip7DZ/FbCZt0BDS8j0r1AKRnd+voHDbJgA2fvExG7/42Ol4sPps+RIhqEKVHZKrL2MvBxddaKknZvlRWWbbN+rL87qukXIUV8HMNw9C4Wo4/zmYdEOfLvHZoc8AOCPnDI/XEgUyE9MmIkNGUVMRVW1VpEb2LpviSlA4Ym5odHssFIi/4nKiZ88CoH7JEho/WkrUGTNJuf12oP81Yke3SWJ1YEEyOSPDI5uQOTgegKqiZkwGc7/H6xw/uM/pccbgYf26XrAw9sx5JGRksfyFZ2z7rD5cENw+W75CVKGFKmc9DjPug4JuPlG4qpEKdax+VKV9M/jsMHXwVaE0JPXSocFv5Nkb4jRxDE8cDsCmik29fn78FZcz4JOPyXv/Pds+7dgxgJSdSvhtaH8CVqWmEjFqFBGjRhFzhiSsjGVltn39We4z6E0c2CDN3xx1evi4XcelRhARo8JkNFN1rKnf18scOsLp8fhzQtN76mSiExIZftpMIuPibftSBwwkbeBg0gYOFst9PUBkqEKVpEEw+8FOu5tb2xn3p/cxqSLZ8NA80sOxRsrR4LMPyJFz3+T7WFOyhmkZYfDzOonLhl5GTXsNCZoE9tbu7XQ8JcK9j5UqNRVVairmtjbbvsRrrqHh409Iue22oPeY6g3aE4X3HUcKMbe19bsw3WK2MOncfEr315E9PDwKqEFq+c8YHE/htmrKjzSScSJj1VfiU+1+VlMuWhBWo1hkMhl5YwrY99Maf4cSlAhBFWbEREVg0iYgU2s5cKyc9DFuaqSsTuzGdvvxip3Os/yC1UndKqiq90NHs60DsqeoFCrmD5ofVrVTjtS013QaTePILeNu6dVompg5c4i7IDyyAI6o0lJRpCRjqq5Bt/8AkRPG9+t6aq2S8WflMv6sXA9FGDxkDIqTBNXhBjjbc6UJp1x8hceuFSxkDBkmBFUfEYIq1KjaB6sehwnXwtCzXZ4i0zeDWsvhsipmOgoqxxopV07sbzp0dQWzk3pMGsTlQGOJNGYnf7q/IwoqrKNpdEYdC1cuBOCdc95Bq5Q6RL09miaUiBg5ipa1a9Ht2dNvQRXOWLNS5UcasZgtyOSh29jgbVJy7TW0jvYegu4RgirU2PEB7Jf8fNwJKrVJhx4oqqhzf52eOLEHM1kTJUFVtqWToKpuq6a6vdrl01YeXYlGoeE3I35DgjZ8llUcSYlModnQzPrj9nq74YnDiVT1bcmqffduoqb032g1GEm58w5S7rkbzaCedZG5mtUHcGhTJeoIBUOmpBOXHOHpMAOelJxohp+aQXp+LGazBUUfBZWhQ8eqt1/1cHTBRVK2fa5kfWUFaQNCoLPbRwhBFUqYTbDzxDgLB++pk4lUmNADx+ta3F8rmJf0ekLWRNj7OZRt7nRo6cGlXS5pAQxLHMaZeWd6KbjA5/NDn/PWnrf6/Hx9aaltu/iG3zFoxXKPDQgOJrQjezc6pbtZffUVbcy9IbRNUV0hV8iZc+2I7k/shkMb17N79XceiCh4aWlosG1/8NAfue6Zl4hPC+H3Ag8iuvxCicI10FwOEQkw5Cy3p8WppU9vVU3tbs8JaZorIHkInPtPmPIHadnP4WtB5kyWnL+Ed855x/aUd855h3sn3QtAgiaBmTkzXV46XJicPrlfz29csdL+wGikbXPfGgTCjVEzsrj8z5O55N4Jtn0TTtQMRcVrmHZx6PsleZM9a8JbTIGzbYRJr6ds/x4/RhNciAxVKLHjA+nf0ZdJg4DdkBSlos1QT3LHManQ3EqoFJ13h6v6MAdSZt5PyqwHaDPYO9GGJw7njd1vAHDRkItQyVXunh4WTEibgEKmwGQx9en5xuN2/zO0WiInha47enc0fPY5bRs2kHjdQrTDh3d5rnVAsKHD/nMv3S8t3Y+dlU10gtarsQYyFrOF2uMtVB1rZuRpmb1+fmNVBcW7d4JMJg2WD1McbSPkSiVZw8Mv49lXhKAKFXRNsO9E7dS4q7o8dWBaHDOOLeWumG/hTQeTxVApOu8Oa32Ysd3+Pd+w0llMnkRlWyU/lf0EwKzsWS7tAqx0ZRsQKkSpohiROILdtbt7/VyLwUDrj+tsj/M/WhKWy31WmlYsp/XHdWjHjO5WULmi6lgzcrmM4dMyvBBd8GDQm/job5uxmC3kjEgkJrF34nLrSun1My1/MJWFhwCoKip0MrYMBy8mR9uImMQksdzXC4SgChX2fiEJhOShkDWhy1Ofue1yaJ4hLX25I1SzU2DPvh37xb4vfSyoo9w+5esjX2O2mJmUNon15es9ahsQrIxPHd8nQdWybh2m+nrbY3V2tifDCjq0o0bR+uM6dHvdi/TuyC9IJjI29MbK9Aa1VklydjTVxc2UH2kgJrHnr2EWs5ndq78FsIkpgA//ep9tOxxHrzRWV2HQ6VBpwzfz2RuEoAoVIuIhYxyMvFBKWXdHKC/p9ZSKnosBR2f0qelThW0AMDh+sG27rKWMIQlDevS8xs8+81ZIQUnECYNP3Z6+C6pR08PHfLIrMgfHS4LqUCNDJ/f89a149070bW2otRFc8udHUao6i9OwHL1isVBTcoyMIeExfqe/CEEVKoy4QPoy962mJSzJcvD9sZi7PDU/Lh+9Sc+ZuWeiVWpJiUzpVGPVV9uAYCVaHW3bvvLrK/n8os/Jiel66c5isSCPiUWm1WDRdXg7xKDA5ph++DDmjg7kGvf1j1aaapwbSnq7vBWqZAyOY8eqEsqPNPTqeXpdG7EpaeQXTCRrWO86L0OdqqJCIah6iOjyCzVcDEI+GV2HnoG3/oe8O//H0bLKbs8PWZKH2rdrj3Q6XNZiL5zeUrmFN85+w5aF6urccKGu3e5jpjfr2Vq5tdvnyGQyMv/2BIO//96boQUVyvR0FAkJYDTSceBAj55TccR5iHRFYWgPle4JrY0dqLRSjqC2rJWyA/VUFzfbvlob3Qv4IVNO5ff/fp0ZV1/no2iDh+pjR/0dQtAgMlSBinX0izusS3YWC+z6WDLx1Mb26NJajRqTJhaZJoqDxRXkZ6V1/6RQRO7w6193BDILnA5vr9pu2+4wdbC7ZjeD4u1t6Y4i6qplV/HZhZ91m6EJJSam2zvzNAoNE9K6rt0DMFRVYayuxqLT2fbp9u1DdqJGQ5mSElbz/EASmdpRo2j96Sd0e/YQMXZst89JHxRn21aoZP2eXxcKnOzR9flz25yOTz5vAFMuGOj2+TK5HHVEeGWZe0LVsUJ/hxA0CEEVqHTT2m/rwivdBJ/+HiKT4Y/7QdGzdn65vgWLJoojZa4dwcOOus4vGgWpBbZtV4LhZMG1tXJrWAmqrGh73c4H533Q7fduKCuj5rXXaViyxGn/sat/a9tOXrSIlNtv82ygQYB21Chaf/4ZQ0XPMsaObukL7p9MXEr4uaOfzKgZWeSPS2HDl4Uc210LwCX3TkCplrL2kXGui/aLdmwlZ9QYFMrwtkJpqa+jtb4Oo97Zib+6qJDywweJSUoOiy7H/iAEVaDS09b+3Z9I/w6a3WMxBaCxdKADjlXVd3tuWFDXOa2dGWX3srlzwp2dBEN3giucWFW8qtui9Lr//peGJUuInT+fxIXXujxHmRIeBf0nk3T9dSTfdCPyKPedplbMZgvfv20vYI8Nw1EzrrB6dE08J88mqJJzYlBp3JdBVBcX8cnfHiY6IZHfvfAGSlX4iqqd369g/ccfdNpv1Ov534P3hGWXY28RgipQsS7p6Vvt+05u7TebYM/n0vboS3p1+SiFGR1QXt/a7blhQVPnGqh9dXbH4LMHdJ6L2NsMTSizumQ1fxj3B7fHLXo9jV9KnZKx886xdbYJJBTx8T0+t2x/PW1Nnef5CSSSc2J6fK7VGT1jyPCwFlMAY8+cx6CJU90eD8sux14iBFUwU7weWipAEydlqHpBnEZGLVDdrOv23LDgivc77VpZZB+PEq2K7nTcEUdxFY4cbTyKxWJB5sayw+o9pUhOJnr6dJfnCHrGgY1d1FYKeozJaGDvj6sBGD1rrp+j8T/RYWJc6k1El18ws/tT6d8R53c5asYVKdHS+XXtwmYB6OTdZTQb+e6YmOvVU9qMbVS0un+jbzjhPRU3fz4ypfgc54r6Dz+k6DdX0/Cpe5+uhuo2jmypctpXU9KzTrZwpOyA+5KGwq2baG9uIiohkQHjwne5vitaG+rZtepbdny33N+hBAXila0XLF68mMWLF2My+UmE1B+DtBMeKSaj5I4OMKp3y30Ag9Lj2birgsSY7m0WwpGN5Rup09W5PFbdVk11ezU6oz27t79uv5OxZ6iPnnHFoYZDZER3Hn9irKujZc1aAOIuutDXYQUNhrLjtG/dimbQIOIvudjlOes/OYzR4OyZ9ukzdruK7jrZwo3SA/UMGJvs8tju1dIHppEzZiNXiNdBVzRUlPPtq/8mOjGJcXPP9Xc4AY9HBJXBYKCiooK2tjZSUlJITAzNtOGiRYtYtGgRTU1NxMXFdf8ET1B/zL79+my4dT0k5kPFDmirhYhEGDiz15f9282X8jcPhhn0fPJ7mPx7GDyH6rZq3t/vvAToKJiWFS7jv3v/63Tc6pgO4TN65mSONBxhmno4xmrnztGmr5eB0Yh60KBe1QqFG1qbY/oet+d0nMgojzw9k9EzOi8zu+tkC1caKttc7m+pr+Poti0AjD7jTF+GFFSk5A0AoKWulramRiJjffS+F6T0WVC1tLTw/vvv88EHH7Bx40Y6Ouyp5uzsbM466yxuuukmJk+e7JFAw5aSDfZtY7tUN5WYD1kT4Z69UH2gV919AjccWC7NQBw8hyUHlvBj6Y9Ohx0F07Ujr2XJ+UtOvoKNcBk9czKHGw7TsPojahYvdnlcf+QIDUs+CktbhJ6gHX1CUB06hFmvR652Fkd6nZHKEwae4+fmEp8mPJO6w52gKtqxFYvFTObQESRmhvcsya5QR0QSn5ZBQ2U51ceOkjemwN8hBTR9ElTPPfccTzzxBAMGDGD+/Pncf//9ZGVlERERQV1dHbt372bdunXMnTuXU045hRdeeIEhQ3o250twEjkOXRfKCMidZn8cmyl9CfqGY/YPoHwHAFcMu4LpWdPZWbOTCakTOhVah+uSnhVXS54Ax5qOUX3WuSSc+jpxRNj8pXLfeRvdvn1ohg9HM1AsR7lDlZWFPC4Oc2MjHQcPETHauRNSrVWy8KnTKN1fL8RUD2mqacdkMKNQOZcLjz7jTNIHDcGgE0053ZEyIF8SVEWFQlB1Q58E1S+//MLq1asZM2aMy+NTpkzhhhtu4OWXX+bNN99k7dq1QlD1lYQ8+/aNq6TslMXSswHIXWA0mhh6x1uYVFGsuHM6IweG4ac0x+wfQKW01JISKQmmcanj/BBU4LP04FJe3vFyp/07qndwRfXN3DLuFm4eep1tf8SYMURNdd+OLZCQyWTIRk2keechjm/YT2xsbqdzIuPUDJ4YXk7yvcVxzqHFItVR5Y1O6nReck5ep32CzqTmDeTQhl+oEiNouqVPgmrp0qU9Ok+r1XLrreFXS+I1rOLqqzugsVRyS8/t2xuVUqnApIpCFhHLoZKK8BRUOSf97NrqMZqNKGQKt+3/AlgwdAFn5Jzh9ni4Lnl6grK0U9k76VLYBGza1Om4KDrvnpPnHBbtqnESVGazCXkPZp4KJFIGSL9vYqZf93ikKF2n07Fz506qqqowm507UObPn++JWwisGDtgzxfQ0Qgz/tSvSykMrZgjYik8XuOh4IKMhJM+oerq+XTPe7x96CNuGH0Dlw29zD9xBTjWDF5XmNvstSvVixeT9qf+/a6GC0OHq4h5ZzHqcRNZ134KAOdemsDhfe1UVxqJ1hr8HGHg4zjnEEChlJb7WurraKmt4cvnniQxI4uJ51/sVGQdJXyYXJJ6QlDVlZVgNBjC3gC1K/otqFauXMm1115LTU3nN2WZTOY/i4FQ5fAPkpiKyYCcU/p1KS162oCS6gaPhBbURKdDSwXLjnxFSXMJzfpmf0cUVCwrXMaXR75kds5srhh+BfrSUtuxurffIeHKK1HnhK+TfE9RNVYSdXwvporDMEP6+26583qKJ/8ZXUQy7Rs2wNxhfo4ysHEcxXPBHePIGSGJJMfRKs011Rzbtd3peWK0imuiE5O47MHHSckbIMRUN/RbUN12220sWLCAhx9+mLS0NE/EJOiKPSdM/0ZeBPL++bJGKy20IcbPAJCYz3FDE1sbDyJDxrz8ef6OKKgoby3nl+O/kKBN4IrhV9Cy/lf7QZOJts1bhKDqAQlXXkHMnNnom9vh7SYAtE++gm5FGyqVjJHXneXnCIOLjEHxtuX7sWfOo6bkGIc2/GI7fuWj/0B5optSjFZxjUwmI29sgb/DCAr6Laiqqqq45557hJjyNM0V0pfRXmBJ6SbYL81D64v31MnEa+VUATUtYi4Yl73J8qPLYPu/mZQ+ifSodH9HFFQMjh8MwOH6w9IOx+4pjYbISRP9EFXwoUpNRZWaiqyuCdgMQHFtFNDGoElpRGSL38u+EhETS8ne3U77UgcMRKXV+ikiQajR79Ezl112GWvWrPFAKAInNr8Fr82EN8+x7/vvhWA4IbDKtvX7Fikx0gtJvc7czZmhj0UTy7IiabzCefnn+Tma4MMqqI42HsVoNtLmUFCdv/QjkZ3qBQ2ffMLR+XZH+aO7JMf+YVOFmOotW785xspXd9Fcp6N413Z0zU1ECHPKXtNYVcm6/73N2vfe9HcoAU2/M1QvvvgiCxYsYN26dYwZMwbVSWusd9xxR39vEZ5Muh6GnbTs9P0jULgaxl4Jk2/o9y0Gp8ezflsFidFipOPBhsMcbjiMSq5i7gAxKLW3ZEZnEqGMoN3YTnHpXjp+XW87ps4Oww7SfiDTajHV2ccedbSbiIrXkDk0wY9RBSdHtlVTX97K8FMz2PezNP5oyJRT2fn9Cj9HFlzo29vY+MXHaCKjmHH19aIL2g39FlT/+9//+Oabb4iIiGDNmjVOP2iZTCYEVV+JSZe+HBl7BVhMcMrNnY/1gUdvvJhH+32V0GDZ4c8BmGGUE6uK8W8wQYhcJmdg3ED21O6hYvnnJBhFM0pfiRg1qtO+oZPTkMvFm1hvSUiLpL68lZrSBg5vkur6hp1ymk1QNVRVkpIr/Ki6IzErG7lCSUdbK03VVcSlihIfV/Q7NfGXv/yFxx57jMbGRoqKijh69Kjtq7Cw0BMxCqwUXAULv4LM8f6OJOSYnTOLi5tbuKSqBFqru3+CoBOD4wcT32LhuKmO6DlzbPt1+/bRvmcP7Xv2YKiq8mOEwYEqNxdZpL1TLbF+HwMH+C+eYMbqKF9f0cwpl1zBwAmT0cbG246//+DdNFRW+Cm64EGhVJGUIxnNVh0T7+vu6HeGSq/Xc8UVVyDvZ8eZQOBPCtInUWCMhvY6qD0C0cKNurcMjh9MzE4Vo9Z+Q4vDfusIGoDkRYvELL9ukMnlKFLsv39jdr2GtjgLJg72Y1TBSXy6JKiaqs3Mvf4yuPAydny/0nbcpNdTtn8P8WmiPq07UvMGUl1USHVRIUMmT+v+CWFIvwXVwoULWbJkCX/+8589EY/AFbom2PEhjLwQYjyXajWbzQy57Q2Mqmg+u2UqE4aHuQNz4iBoKIbaw5AnXjB6y9Ujr4bHzsVY4z7Dp0wRLuo9IWLsGLAafmu1okuyjyTYMlStWCwWZDIZmUNH2I4r1GqyhndeYhV0JiUvHxCO6V3Rb0FlMpn4xz/+wTfffMPYsWM7FaU/++yz/b2F4MAKWPEn2PwGLNrQ/fk9RC6XY1REIIuI5XBpVVgKKj3wYkI8Z9XuZVTiIGSFq6HuiL/DCkpUchW1y5YRUTCOiIICZCJr3XdGTYITdklJL7whuiR7QEt9Ha31dRgNZszGSgD0bccxdmzH0K6j/FAumUMHEO9Q/3P1E8+J7FQPSR0gCaqqIiGo3NFvQbVr1y7Gj5dqenbvdvb4EJ0AHmLPp9K/Iy/s+rw+oDS1YyKBo+W1Hr92MLAuMoK34mNZtu7/8W3OpShAWvIT9BrD8eNU/eMfIJMxeM1qVMKbrs8UtaYBkpfXV++VccXQQcSlRHT9pDDH0QndytL/e9+2veqtBn775D+cjseL4uoek5InfeDuaG3BoNMJ/y4X9FtQrV692hNxCNzR3iCNmwEYdYnHLx+BgRagpLqx23ODheq2aqrb3S87yZFjxgyGdj6IjQZgStpEDmgjQa0ipe4QYmGq9zStkGpTDg9QU9y+nbM5288RBS/Hiu3ecEajmfLDDUJQdcPYM+cxaOJUdK3tfPz4AwCcf9ef+fpfT4LFwqzrrvdzhMGNNjqaG198k5jkFJEscYNHhiMLvMjBlWA2QMoISB3u8cvHqCy0AJWNbd2eGywsPbiUl3e87Pb4pLRJbK6UXKiJkN6kvi5aydeshKwMbjGauNViAfGi0SualkvGqKuHGhhYf4izBwhB1ReaatpprrdPL1Aq5WQMjvdfQEGCTB6FXKlCrrCP0ircthcsFpJyBhGfHn4lDZ7CupwK0N7c1Om4GCwt0SdBVVxcTG5ubo/PLysrIysrqy+3Euw7MWpm5HyvXD4xUkm5JbTGzywYuoAzcs5AZ9SxcOVCAN455x20SilFbc1QrSn6jpd3/weAt+e8QoQ2HiwWUqLShJjqJfqiInR79mCRy/h1uAxzw2F/hxS0HN7ibC1x4S3DRHaqB+z5sYxNy4qwWAy2fft+kmpOG2uy2fNjGVMuEKKqL7haTnVEDJaW6JOgmjx5MvPnz+fGG29kypQpLs9pbGzko48+4l//+hd/+MMfuP322/sVaFiib4XD30vbIy7wyi1SYrTQBI0dFq9c3x+kRKaQEplCm8GedRueOJxIVaTTea9sW2zbHpE4jMjIZOlBcwUc3+7+Bq5MV8OcphWSUaJx4iiaI/dzpEHUofUFQ1UVh34+5rSvY8lbtCsuB6QuSVWqsPRwxagZWeSPS+Hghp/59WNpn8VUDkDOqKkc211C3igzRr39w2NVUaHTcGSRZXGNdTm17ngZy194GhCDpV3RJ0G1d+9ennzySc455xxUKhWTJk0iMzMTrVZLfX09e/fuZc+ePUyaNImnn36aefPmdX9RQWeObwezERIGQNpor9xiSGYCP5aWkxgVXh1ZbYY2fqlw0zG5+S1Y+5T7J8+8H2Y94J3AghTrcl/CeRdAx36Km4vpMHWgUWj8HFlwUfruZ9RUDQGLGWTS32TTZ5/T+slHgPDx6oqoOA1RcRpghE1QAaQNGkb5ESOG9l9474FfnZ7z4V/vs22LLIt7ok+ITYXS3sWflJ2LNjraj1EFHn0SVElJSTzzzDM8/vjjLF++nHXr1lFUVER7ezvJyclcffXVnH322Ywe7R0REDYMOA3+dBjqi7y2BPXgdfN58DqvXDpwaa7gWNmvRMnVdJg6pH2Vu0ETDwe/gT2fwYRroeA39uHUN6wE5YllF5GdcsJYV4epuQWZSkXGvAuJXf4qTfomjjYeZXii5+v+QhnjpDkojxaTnKahokxaulIPG0rO448AwserK2y2CXrn8oUBYwvYu74Os3EwZ910AUkZUS6fL7Is3RObbP/9qy8vI2PIMD9GE3j0SVDt3LmT0aNHo9VqueSSS7jkEs93nwlOEJEgffmYqiYdVc0dbo+nxmhIjQ3SttnNbzFi7VN8LZNx6oAT/j7/vQgsDsueifmQPtb+OH0sqF2/EIc7ysREBq/6AX1hIcq4OAbHD2Zr1VYO1R8SgqqXDJk5mAHT8mmqaefDxzYCYKqtcznfT+CMuzqfDZ8tAUChPQW5YiZpAzN8HVrI4OgtV1N8TAiqk+iToBo/fjzl5eWkpqYycOBANm3aRFJSkqdjC2/MJpAr/Hb79zcU868fDrk9fuecIdw9d6gPI+ofZS1lDEkYIj2YdD0Mm4fCpINVN0r7blgJCi2UboblfxReVL1EJpejGSyNRhmTPAaD2SCW+/qISq0gNslehG6qqcHc1oY8MrKLZwmsdT6u2LLyGIXbW6kvD51uZn9TW1bs7xACjj4Jqvj4eI4ePUpqaipFRUWYzebunyToHcvugYrdMPtBGDTba7epqKln2l8/w6zUsu/vlxKpld4Er56ay9yRaegMJi57ZT0AH988Da1KEnmpMYH/ZlnWUmbbvmrZVXx24WfkxOTQqI4gOn0MmBwycOljQRUJkUmSoKovkurXBF1iamlBrtUiU9pfSu6dfK8fIwpeOtqNaCJcvyTrS0rRDgueDzD+wFrnY7FY6GhtdarvyR6h4ejOQ9RXtHZxBUFvaKoWg85Ppk+C6tJLL2XmzJlkZGQgk8mYNGkSCoXrbEphoZhM3WvMJtj3NbTVAN5t30+Mi8EcnYJMJqe4oobhAyR7i9RYLamxWtr0dlExMjOWSHXwWJdtr9pu2+4wdbC1cis5MTk8/uvjbK7czJ8m/cl23JbBis0CpRaMOmgs9UPUwUXN4pdo/OILUv/4R+IvvaRbU9WUCKkDU9CZL57bhslo5szrRhKf5pyNMpQUC0HVQ6qPHeX9P99N/vhJXHjvX5DJZCSkScv19RUiQ+UphKDqTJ/eHV977TUuueQSDh8+zB133MGNN95ITEyMp2MLX4p/lcSUNh4GnO7VW6lVStC3gyaKkopam6AKBQpSC2zbGoWGCWkT0Bl1rC1dS7ux3elcxwwWiQOhai/UOcysqj8GaSN9FHlwYDGbaVqxAlNdHYr4OKB7U9Vbxt3CrQW3+irEoKGxuo3q4mZkchnRCc7Z37hLLkYprBJ6zKGNv2A2mZDJZDZH74SMSORyGXKFDIvZgkwufOb6i+Kkub2Cfjiln3OO1P20ZcsW7rzzTiGoPMn+r6V/h80Dhfd/aWUGSVCV1TR4/V6+JCvaLg4/OO8DcmJy+OHYD7Qb28mIyqBF32I77pjBsgmqsi32i70+G25dLxWrCwBo37YNY0UF8uhooqZPB+ymqn/9+a/sr98POJuqpkSI7JQrrGaeWUPjiYhRY+gw2Y6lP/QQKo3/6ikDBUe3bldYfaQObZCmSg+Zepr9WLyGm16YiUIRXvYw3uTMG4V9x8n0WlC1t7dTV1dncz5/6623ANizZw+jRCdK/7FY7O7oXjLzPBmluQMjUF7XeaRAqGAVV98c+waAuXlzGZ823nbcmsECIHUEVO+HxhL7BYztUCwEFUjmk8bqaurekwbPRkyaSMchqYEhGohPSSFaba9fcWWqKnDGKqgGTxSZKHf0xK172LQZ1JYWI1coGThhsu2YTCZDoRBZqf7SUFVp237/wbu57pmXiE8TNjJWeiWoPv74Y+6++24SE6XCv9dff52pU6WuimuuuYatW7d6Jciwony79EauivRqMbojaowYgeqGlm7PDWY6TB2sLVkLwFkDznKZwQJg9l+kr8q9sGuptE8ZAbnTfB1yQNKw5CNqFttd5lvXrKV1zVrb4+RFixg4aaBtXqJTh6WgEw1VbdSUtCCTyxg4vnMGz9zeTkdZFZqB4T02xdrFZ9TrbYacJ7t17171LQB5YwvQRgnTSU9z/OA+27ZJr6ds/x4hqBzolaB6/PHH2bp1KykpKWzevJmFCxfy4IMP8pvf/AaLJXRGl/iVfSeW+wafCSrfzO+KUFhoA2pbdF2e999PlnPzVd6ZKegLfi77mTZjG2mRaYxJHoPOaP9+HcWVjYQ8+/aNq0R26gTxV1yOMjuLigf+bNuX9/57yLTSsp4yJYWEso9sx5zq0wSdOLJVyk5lD4snIlrd6fihU09DITMxfPs2ZGFct2Lt4jPo7H+3qQMGotLa/fAObrQu953a6flFu2rY9PVRUnJjOONq4Y/WFzKHjrA/kMlorq3xXzABSK8ElcFgIOWEU++kSZP48ccfbcXpMjFM1jPkTJWW+kZf6rNbZsYoqW8oJzat87LMfz9ZDkj1G3/bZECt+JIbLg9OUfXdse8AablPLutBLYXjhwRHcRXmqFJT0R9yHn6sHTHCySepo9huSeFUnxbmtDZ20Nbo7OS9f30FAKkD4qguaQYLGPX2GqqWxIHIda2Ubz1K3PC8E+NVBCfTUFFOdVEhMrmcwZNO6XTcbLJQdawZs1l8+O8r8alp9gcWC22NDX6LJRDplaBKTU1l586djB0rOUgnJSXx3XffsXDhQnbu3OmVAMOOoWdJXz7kq7/9we2xFZsPgErqbpOrtSzbuCfgBZW1dd8xA7W/bj/TMqdhwcLpWT3onHxnvrT8GoZYa6TcoUxJIW7+BWAxU/fW2y7PmZM7h7f3SMfUcrW9Pi3M2fNjGZuWFbk8tmVFEeWH6zl+qNF5/2hpsPymt0qZfJ6SKReE99KfO7QxMcz53a00VVcSERPb6XjiiZEzDRVtotPPQzRWVfg7hICiV4Lq3XffRal0fopareaDDz7gtttExX8oMm/SMHbskLbNeh3nnRL4qXJXrfsLVy60befG5HJa1mknP80ZXQPoGrs+J0Q5uUbqZKwDetW5uW4F1dAEu2fSI6c+IrJTJxg1I4v8cSkY9SY+fUaqOb3k3gko1Se6+GTASQmUiqf+TvvGjSTe+DsyZnTzexvGaKOiKTjrXLfHY5O1yJUyjAYzzXU6YpN9U1IRyjQ6FKkLeimosrOz3R477TTxh95vtr4rFT4nD/Z3JDauvfRcntohdcb9ebIq4LNTYG/dd0ePWvcTB0H5Ds8FFUTEX3E50bNnYdHpOHb1b4HONVK9ITva/etGuBEVpyEqTuNki5CcE9OlLYI5N4a6VSXE1B0Vy339QK6QE58aSd3xVuor2oSg8gCNVZVYLBZR8nOCftteNzQ08MYbb1BRUUF+fj4FBQWMGzeOqCgxSLZXNJTAl7eBTA5/OgKRvpt8/p8vVvPEt0eJsujY/ZJ708VrL3X/6S+QSIl0duM2mAz8fdPfmZ0zm6kZU1H0ZEZiUuCIWl+jSk1FlZqKuc3uKu1YI1X17HNETBhP5Hi77YS+tBTt0KEul1stWNhbuxcQTumuqCltIWNQnNvj6rxcAPQlJW7PCXcObfyF1vp6hkw9lah498PkE9KtgqqVvNFi/mx/kMnkGPUdtDU2dPkzDyf6LaguueQSdu3axeTJk1mxYgUHDx7EbDYzcOBACgoK+Oijj7q/iMBu5pk7zadiyoolJo2W5tAcJbC+fD1LDixhVfEqvl/wffdPaK4A+Ul/GhU7JesEgJh06SsM6SgspPa110ClIvedt237j15+BYO++pKltV91udwqnNI7s+HLQi66e7zb46qcE4Kq+JivQgo6tiz7nLL9ezGbTUyY5z6LnpAeBVRTXy5m+vWX6MREmmtraKisEILqBP0WVBs2bGDt2rVMmjQJgI6ODvbs2cOOHTvYsSM8l0z6hI/NPB3JTI4H2rD4yKbB13xbJHnTzMmd07Puvs1vwdqnnPe9eY59e+b9MOsBD0YYPDR/K3VKRp1yCh2OnX46HW2bt7DgbOflVrPFTIu+hViNVCQsnNI7M8iF95QjmsGDiLvsUjSDwjdr2hUt9XWUHZD8kYZM6WyX4EhiZhSxyVo0UeFrP+EpkrJzUUdEYjIY/B1KwNBvQTV69GjkcvublEajYcKECUyYILp6ekxLNRyT/FMYfr7Pb5+TlgQcB3UkRqMJpTJ0xlwYTAZWlawCJDNPcN8FaBuPMmo+KXmnwX9PiNvrVzp7goVpdgqg+TtJUMWcNZeIcePsB7RaIidNRO2w3Hqg7gBXL7uaBG0Cqy5f5Y9wA5bGavssyaSsrssjVOnpZD7+uLdDCloOb1wPFgsZQ4YRk5Tc5blDJqUxZFJal+cIesb8e/7s5AEm8ICg+vvf/85DDz3EJ598glb8cPvGgeWABTIKIN733VC5aVItgUyuoKK2gey00Kkt2FCxgWZ9M0naJCakSiK/uy5A27JU5niITJIMPcNYRFnRl5ah27MH5HJi5sxB7vD3nv/REtQ5zr+7yRHJGC1Gqtur0Zv0qBWdTSvDlf3ry23bX/57O1c9fApxKaGZIfYmDVWVHNr4M+A8u08g8Af9FlT5+fk0NzczYsQIrrrqKqZOncr48ePJzc31RHzhgR+X+wDiYqKwGHTIVFqKK2pCSlBZl/vOzDvTVoze4y7Am9Z4Obrgovl7KTsVOWkSysREp6J1tYsO4ERtIlqFFp1JR2VrJTmxwjrBytEddp8vk8FC+eGGLgWVWafDUFqKPDISVWamL0IMWBznyb3357uwGI0ADHXhju4Oi8WCxQJy4UUl8CD9FlSXXnoptbW1zJo1i40bN/Laa69RX19PfHw848aNY9WqwEz1X3zxxaxZs4Y5c+bw8ccf+y8QYweUbpS2R/jRkkDfDiotpdX1/ovBwxjNRlaXrAYkd3QrJ3cBCrpHX1pqq5+KmTu3m7MlZDIZ6VHpFDUVcbz1uBBUJ2ht7KCpxr7crFDJyBgc3+Vzqv7xD+r/9wFJN91E6j13eznCwMZxnpz5RP1Oav4g4lJ7lkX++ZPD7PvlOKdcOIjRM1yMnBJ0oqW+jtb6Oox6u8v/4c2/sv7jD7BYLFzxyFNEJ/i+mSrQ6Leg2rt3L7/++qvNPR2guLiYbdu2sX379v5e3mvccccd3HDDDbzzzjv+DUSpgXv2Q/F6SBna/fleIsrUhK5Jh9ks/VFUNemoau5AZ7D75ew93oRWJWV5UmM0pMYG9hJvRWsF0apoLFiYmDax7xcy6EAV2N+rN9CXltq2jy64HFWaVHsSc1bPBBVAZnSmJKhajns8vmClvqINTaSSjjYps7Lg/sndLvfZOv1Kir0eX6DjOE9OJpcDMob2YLnPOvanrbGDjlYjxw81kDbA7qgeGacWPl9u2Pn9CtZ//IHTvuUvPGPb3v7t15x+xbW+Divg6Legmjx5Mi0tLU77cnNzyc3N5cILL+zv5b3GrFmzWLNmjb/DkFBHwuA5fg1h70n+U+9vKOZfPxxy2nfZK+tt23fOGcLdc/0nAHtCdkw2yy9ZTnV7NcqTbRB6wpHV8PENkDwEfvet5wMMcNq2bbc/6Ogg+ZZbiJw00SasekJGVAYA5a3l3ZwZGria1edIZJya7GEJXPP4qfznnh8BemQwafWiMhQLLyrHeXLX/P0FohN7lhk5eezPoU2VHNpkXz6cfN4AMdbHDWPPnMegiVOd9lksFj78632YDAbyCyb7KbLAot+C6q677uKRRx5hyZIlJCR4xovixx9/5Omnn2bLli2Ul5fz2WefcdFFFzmd89JLL/H0009TXl7OqFGjeP7555k+fbpH7u8zLBYIUIfZq6fmMnek+zfO1Jjg+CQnk8lIjUzt25MjE6G9DmqPeDaoICFyfIH9gbWLL6d3y3ZWQRUuGaquZvWB/U1brujd3731564vLhbO1A7Ep6b1uNPMOvan8mgjaz84CDiP/YmME00T7ohOSHS5pBeflkFtaTGGDp2LZ4UfHqmhAhgyZAjz58/nlFNOYfz48YwdOxaNpm9vuq2trYwbN47rr7/edn1HlixZwl133cVLL73Eaaedxquvvsq8efPYu3evrRh+4sSJdHR0dHrut99+S2Yvizo7OjqcrtXU1NTL78gNRetg+X1QcBWcdqdnrukhUmO1Ab+k1xUt+hY0Cg0qRT/8ZhJPfFptq4H2BoiI90RoQYNjoXnee+/2WkwBjE4ezTkDzqEgtcCDkQUu3c3qU6rlWCyWri7hEtWJn725uRlTQwNKD314DSesY3+00So4IajiUiOJjBVCqq/EpaZRW1pMY6UYkgweEFRHjx5l+/bt7Nixg+3bt/P3v/+doqIiFAoFw4cPZ+fOnb2+5rx585g3b57b488++yy/+93v+P3vfw/A888/zzfffMPLL7/Mk08+CcCWLVv69g254Mknn+TRRx/12PVsHFgB1fug+qDnr91LbnjqHVaXmClINPLZ/93o73D6zX/3/pd3977LLeNu4dpRfVzb18RItglttdBYGnaCypHiaxeSeM01pN59F4aqKozV1Vh09k+lun37nGb9qVKlrOBpWad1P4g6hOhuVt/K13ZTebSR0y4b0qvryrValGlpGCsrMZSUCEF1go8e+zOXPvgY2qjoHj9H62Dq2VTTLgRVP7A2AjRWiyHJ4AFBlZeXR15enlO9VHNzM9u3b++TmOoOvV7Pli1buP/++532n3XWWfzyyy8evx/AAw88wD333GN73NTURE4fPq07YbHA/mXS9jD34tFXtLQbsMRkUNFU5O9QPMKq4lW0GFqI07ifkdYjYjIlQdVcDumjPRNcEGJpa0Omkd54GpZ8RM3ixU7HrUOUAZIXLSLl9tt8Gl8wYDSYKN5Ti6HDRERM7zOn6pwcjJWV6I8VE+HQBBTO6Fpb0ET2fW5sa0PnVQxBz4k7Uc8mMlQS/RZUroiJiWH69OleqWmqqanBZDKRdlJhbFpaGhUVPf9PPfvss9m6dSutra1kZ2fz2WefMXmy68I6jUbT5+VLt1Tvh4ZjoNDAoFmevXYfSIjSQAecaDwKakqbSzlQfwC5TM7M7Jn9u1hsBlTugqbwqAHqitgTdgnxV1xO9Gz3v7PKFGdLCpPZRHV7NYnaxLA29yzdX4+hw0R0goaU3JhePz/u4ouJOv00NMMCuxnElwyeNLVf9WTWpVhB30jIzCIxM5voxNDxLuwPXhFUvuDkP6LeFmp+8803ng6pdxxYLv078AxQ9/0TlqdIjouEOtBZgv8Fxuo9NTFtIvHa+P5dLEYqqqY5PLrU3KEekId6sDRLTpWaalvS6wnnf3Y+pS2lvHfue4xLGdf9E0KUwu2SmWf+uJQ+iYD4Sy/xdEhBiaMX0qBJU7s4s3syh8T3M5rwZuD4yQwcLzr8rPRgUmxgkZycjEKh6JSNqqqq6pS1CmgOrJD+DYDlPoC0eOkTs4HgHxq6qlgyk52dM7v/F8ssgEFzID68nf+jZ83ucybA2mVZ3hK+otRstlC0swaAxIwoakqabcdqSpqpLpa+WhvFElR3lOzdZdtOHTDIj5EIBM4EXYZKrVYzceJEvvvuOy6++GLb/u+++y6gfa+caK6E0s3S9tBz/BvLCTKS44AaTIrgsENwR72unq1VUnfVrFwPLKVOukH6CkPMDkXnMXP6Lk4zojOgCo63hu+yacWRBtqbDShUctZ+cMDpmLUbELr2QrKYTOiPHcNQdpzo6ad7Nd5ApnDrJtt2f+0jTEazrWFA0D+EnUeACqqWlhYOHz5se2ztJExMTCQ3N5d77rmHa665hkmTJjFt2jRee+01iouLufnmm/0YdS8w6qDgN9BSJdXoBABZyfFAjWQyGsSsLV2L2WJmeOJwsqLFWIn+0LrebuSqGTGiizO7JjNKsikJFy8qVxRuk7JTA8YkMfGcAW7P68oLydzSQuG55wEwbMtm5FH+LxXwNRazmaPbN3vsekse38jCJ8OnC9UbrHjxnxzZupGzb7mLIZOn+TscvxKQgmrz5s3MmmXPLlg77BYuXMjbb7/NFVdcQW1tLY899hjl5eWMHj2a5cuXk5eX56+Qe0dCHlz0kr+jcCI3PRlL60YUpg7adB1EaoMzUzUhdQK3FtxKWqSHl38N7aDq3tE6FLDaIsgU9k/uHfv3u7RF6AkZ0dKHhorW8O0EGjwpFbPFQv6Y5D4VpAMo4uJQxMVhamxEX1qKdtgwD0cZ+JjNZk6/4lq+fe3ffb5GU027bbulvoOGyjbi04L7g6Q/MRqNdLS2ik4/AlRQnXHGGd2a3916663ceuutXZ7jaRYvXszixYsxmUzdnxxkZKclceyFa/wdRr/Jjc3llnG3eO6CukZ4fizoGuAvVdLsxRDH07YItgxVmC75NdW0kz4wjvSB/bTwAFS5uZh27UJ/7FjYCSrrgN7ELLvhbFVRIUq1lNWLcuPmfTIVRxqdHh/bUysEVT+wjgJqrBJeVAEpqAKVRYsWsWjRIpqamoiL6+OLY/UBMLRBRkHAjp0ROKCJlbJTIHX6JQzwazi+oLe2CN1hm+cXRkXpjlmQpU9t4qqHT+l2AHJPUOfkoNu1C0NJ+M30czWg98O/3mfbnnbZVZy64Opur5M+yPm1OyYxeCdCBAI2c88qkaESgsrXrH8Rtv4XTr8bznzE39GEFB8d+Ig4TRzTs6YTqfLQJ06ZTKpzqy+CpvAQVKrUVNo2bASZjOiZM1DE9G2JykpGdAbnDDiHjOgMjGZj3wZVBxmOWRCTwcKedWWccuFA5Ir+NVarTgxJ1ofhkOQB4yaia2khe+Ro4lI6L+lH9SA7BS6GUfd+EpDAAbugEhmq0H9lCyTMZjiwUtrO76fhpBc47a7FHDdEctup6fzx6sCwc+gpRrORf2/7N40djbx59ptMTvegN0pMpiSomsNjycpisVDz4ovojx0j6/nniT3n7H5dL0IZwdMzn/ZQdMHByVmQ7d8XM+HsPLRR/RNU6hyroDrWr+sEI6X7drNt5VfUHS/lsgf/z2PXba4Tg337g9UtvamqMuw7/YLOhyqoOb4VWqukZaS8wOssadTLsMSkcqy6wd+h9JptVdto7GgkXhPP+NTxnr24tROzKTyWrPSFheiPHUOmUhF1evi25/eHk7MgmUMSnGbI9RV1rjTyyhCGGaojmzcA/TfzPJmWeiGo+kNMcgoymRyjQU9rQ72/w/ErIkPlS6zu6IPPBGXgjeCIUFhoAepagu8FxmrmOTN7pueXlMLMLb15lfSzjDzlFBTRnmnNt46fUcqVJEcke+SawcTAgt7VnblDPWgQyXfcjmbAAI9cL1hobajn+KH9AAya6DlBlT08gbhUUZDeHxRKJTmjRiNXqpxc7MMRIah8ic0d/Vz/xuGGKLWMaqChNbj+KCwWCz8U/wDA7FwPuKOfTKzUpRYu8/xafpAEVUwXhem95ZnNz/Devve4btR1/HHSHz123WAhf5xnRKQyIYEUH3c3BwKFWzeBxULawMHEJntGnAKce8tYYezpAebddi+t9XV0tLZQWXi40/GedmAGO0JQ+Yq6o1C1F2QKGHKmv6NxSZxWCSZo6gguW4j9dfspby0nQhnBqZmnev4GKcOl8TMZYz1/7QDDWFND+44dAETP9pw4tXb6haO5Z0pOjOgk6yeHN/8KeH65T+AZXHVgOtLTDsxgRwiqXtAvH6pD30r/5p0KEQmeDcxDxEepoQlaDcHV9rKqRMqonJp5KlqlF964Bs+RvkIEq3GnK5q//wEsFrSjR6Py4GzMzGgpy1feGh7Lpo4MGJvk0esZKiroOHAAZXp6WHhRGXQ6induB2DwpFM8f329CaVSjkwevsXU/WXsmfMYNHEqHW1tLP2/PwNw5aP/cPIICweEoOoF/fKhmnQDpI4MaO+p5JgIaIJ2U+DG6IpjjVLHk1eW+0IQV8adJ9OVD1VfsLqlh0uGymyyfygZMNazNWN17/yXurfeInHhtWgfeMCj1w5EqouLQC4jNiWN5NwBHr32ew+tp61Jz7V/O1VkEftBdVEhy194hqQc+xD51AEDUWnD62cqBJWvUKggf7q/o+iSrKRYLAdriFQEV4bqHzP/wZ0T7yReE+/dG+nbQKEGRXD/2ViNOy06nc0BPe/992yjZbBYUGV4dsak1S29VldLh6kDTZAP4e4OucL+ocTTLtzqMPOiyhw6nFv/8z8aKys83pKvUEmN7i11OiGo+oEmKgpdawuNVVX+DsWvBPc7g8Cj3PObedzzG39H0Te8Pgj53xOg7gjc/BOkj/HuvbyMKjUVVWoq5rY22z7tiBHII73X7RSviSdCGUG7sZ2K1gryYoNk7qYH8LQIUOVI1gn64mKPXjeQUak1JOf073emtbGDtkY9Rr29ZEMToaQZOH6ogdiUCKLiQlvoewuruWdLfa2fI/EvQlD5gm8eBJMBptwEyYP9HU3QU91WTXW7VAPkynk7JSKFlEjPdQIBYHVebyoPekHlDovBgEzVf68kV8hkMjKiMihsLOR4y/GQFlQWswWz2XtZXnWulKEylJRgMZuRyUPXTtBkNKJQeuZtas+PZWxaVuS0r6a0BYBfvyjEZDQz5YKBHrlXuBEZF49So8HY0eHvUPyKEFTexqiXRs10NMGYBf6OJiRYenApL+942e3xW8bdwq0FHm4tj82Ayl0h65ZuMZk4cu55aAYPJuNvT6BKTfX4PS4YdAFN+iZSIz1/7UCivLCRFS/v8tr1VRkZoFRi0esxVlZ6fHk2kFj3v7cp2rGVUxf8hqGn9M9kdtSMLPLHOX/Q2rm6hP3rKxg8MZVRM7yc5Q5hZDIZcSlp1JaGT9bUFUJQeZvi9ZKYikqBrIn+jqZLjEYTI+74D0aZmlV/Ppf8LM91eXmSBUMXcEbOGawqXsWrO18F4J1z3rF1+KVEeDg7BXZzzxB1S2/ftQtjRQXmtjaUCd7pQv39mN975bqBRtHOGnStBq9dX6ZUosrKxHCsGH1xScgIqpb6Olrr62yPLRYLB9b/REtdDY1VlbTU1/XLyygqTtNpSS81L5b96yswGc1iua+fxKUKQSUElbex2iUMOQsCPDWvVCrQa5OQqSMorqgNWEGVEikt6b2+83XbvuGJwz03ENkVVnPPEM1QtaxZC0D0jBleW/YLF4p21nj9HurcPAzHijGUFMPUKV6/ny/oysvox/ffwtCh87iXUfSJQvSW+vBeqvIEcWnp/g7B7whB5W0OnhiGPOQs/8bRUwxtoI6grDqwZzIZzAZ+Lf/Vdze0jZ+p8N09fUjrj5KgipnjPesJ6/iZZn0zQxKGeO0+/qShqo36ijZkchkWL9ZRJf72auIuOJ+ICYGd9e4NVi8jo17Ph3+9z7Y/c9hIZl93k1e8jOJTI8gZmUhSpmdGLIUz6QOHkDumgOJd2/0dit8QgqoX9NrYs/YI1B4GuRIGedbXx1soTR2YgPLaJn+H0iXbKrfRYmjx3Q1t42dCc8lPX3QMVCqipnvP2mNH9Q4WrlxIdnQ2Ky5d4bX7+JODGyXBnZwdTXVxMwA1Jc0o1dJ4k8g4tUeWlqJnzuz3NXzNyUt6JxOVkEjawMEYdM6zREfNmE3aQO808ySkRzH/jgKvXDvcGDljNkOmnMq/F17m71D8hhBUvaDXxp7W5b7caaDtpRGon1BjpB2obPChWOkDa0rX+PaGCfnS+JmU4b69rw+JmjIFRXS0167v6Ja+u2Y3clnnJXCvdGj6kP2/SILKKqYAPn1mq2178nkD+tVJ1pXLPYAyJcUrDQWeoK/jSQZODI0lTUHoIwSVN5ErIS4Hhp7j70h6jFZuph2obW73dyhusVgsrC1Z69ubJg+Gaz717T19jKfd0U8mOSIZGTJMFhNXLbvK5Tle6dD0EbpWAy0NUnbl3FvGEJ3Q2SgyMk7dr3t053KfvGgRKbff1q97eAtXS3rdjSdJHzTUJ0N1DXoTMrBlEgX9p6GqkpTc0LVHcYUQVN5kyo0w+fdgNvo7kh4TpYJ6oL41cIs0TRYTlw+7nLUla9lUucnf4QQt+tJS+wO5HO1w72bflHIlqZGpVLZV8pepf+HxDY8DPujQ9BEWs4UJZ+VRX9nWqT3fU1hd7g3l5ZTddjsAue/+12bKqkwJ3J9fdEIi0QmJTkt63Y0nGX6a95c2V7yyi8Lt1cxZOILh00KjY9JfvH3vItv2+w/ezXXPvER8GBWrC0HlbWQyaexMkJAcpaKksQ5NcuB2JCrlShaOWsiCoQuY+j8fT5/Xt4JMAargH1PRtm27/YHZjL64hMiJ3i1yzo7JprKtErXCnqnxeoemj4iIUXPKRYO8eg+ry736hFs6gCotzWb2GWqMnXO21++hiZTeBlvqdd2cKegNJr2esv17hKASeIDaIxCfF3Rz3z5//CZ/hxC4vHcpHP4eLn0DxgR/4WXk+AL7A62WyEne7xjLjMpkC1uobKv0+r1CGZmDe7ixujpkBZUviE6QmgSahXVCv0nMzKapWvrbVqjVZA0f5eeIfEtwvdsHC2YzvDUPjB1w/XJIC69fqv7iOFrmZFr0Leyv2895A88jQhnh28CsjQUhYp2gTE62bed/tMQp6+EtMqKlJZWK1tD4GVqpO95KY0072cMTUPm4DsdY433fK19SuNW3y/g2L6o6kaHqL8k5uRTt2ALA1U88F1bZKRCCyjtU7ICWSlBFQZKY3ddbuhstA/D5kc95b957PoroBDYvqtCwTmjbsNG2rcryzdiNKelTMJgMjE4ezSeHPvHJPT2JdcDuyWz/vpiDGysZMimVs34/2qcxddX1F2xYzGZWv/Oa7bEvCputGSph7tl/YlPsHabxqYFpDO1NhKDyBgdP2CUMmgXK4Bpn8MXazdy7ZAsaTOx+yT/dVtbRMjqjjoUrFwL2wuV/bf0Xvxz/hRlZM3wfmM2LKjTc0lvWrbNty2Qyn9xzasZUpmZMpc3QZttX1lIWNEafrgbsOuLNocjuCKUMVVVRIa0NdlNhXxQ2W7sxRYaq/8SlhJ+IckQIKm9gdUcf6v2CSk9jsVgwxGajb2/s8ryqJh1Vze4/0aXGaEiN7VvhtnW0jOOb7vDE4agUKnZVS0Nnz8g5w+k5PnlTDqEMlcViodVBUPmaspYy2/ZVy67isws/IyfG+0uO/cU6YNeoN9n8peZeP5Lv3tqLXCHzelG6K4zVoSOojmzZ6PTYF4XN1gyVXmdC325EHSHeFvtKrIOgspjNfozEP4jfHE/TUgXHTxj5Bcu4GQeyUxOBKlBHYjabkbuZP/j+hmL+9cMht9e5c84Q7p471KOxbavcRrOhmQRNAmOSx1DYWGg75pM35RDKUHXs2+e3paLK1kq+PPKlPRZTB1srtwaFoLIO2DV02KclNNZKnm3ZwxKIT/V9t2L8ggU+v6e3OLl+yheFzWqtkoEFKWiilJhM4ScCPEl0YpJt22gw0D/XteBDCKpe0KPRM4e+k/7NKICY4CvIy02XCpVlChW1jS2kJMS6PO/qqbnMHZmGzmDislfWA/DxzdPQqqSC3NQYzy91Wt3Rp2dPRyFXsL1qu+2YT96UHef5WSySJUaQ0rLWx8aoDlz+9eXU6ewjSDQKDRPSJvgtnv5SvLsWgAFjk7s50zvII33cnOElWupqqSx0/pDmq8LmeTeP8fo9wgGFQ/epShNc5S6eIHDNhgKQRYsWsXfvXjZt6qIL5dA30r9BuNwHkBwfg8VkAOBYufsMRmqsltFZcYzMtAuukZmxjM6KY3RWXJ+X+7rix9IfAftyX0Fqge2YT96UYzJg8Jkw9nKpgzOIaV6zxm/3zohyNk/84LwPgiI75Y7Ko9LcS18KKkdT1qOXX4G+pMRn9/YkDVV2+4zCbZsBnOb2hWNhsyB4EYLK05x+D8z8fzDyQn9H0ifkcjnopdql0ir3g0x9TUVrBcVNxSjlSqZlTAMgK9remeaTN2WlGn77CVz4YlAbe5qamtDt2eu3+1tn+llx/H8MRiwWSMqOJibRd78TTqasOh2tG4NnYoCjiHr/wbtpqJQsNIp37wAgv8D7fmiuMOhN6FoNfrl3KNLR2urvEHyOWPLzNJkF0lcQIzfqsBBHeW2Tv0OxkR6VzurLV7Ovbh/R6s4DfIP9TdmXKGJjGbLuR9p+3UDZ3Xf7/P7pUcG3FN4Vlz84GWNHF2UAXsDJlBXQDPZ9MXxfOX5wn23bseh83qJ7GDd3HpGx8fz66RKfxrTtu2J++eQww09JZ851I31671Dl18+WcObvg3MuZ18RgkrQiQiLjtbWOgzGwEq3J0UkcXrW6f4OAzpawGIGrev6smBAmZBA9Ew/WE8guaWHEvGpkag0vjXzVGdnOz12dE4PdDKHjrBtOxadK5RKckaOcZr15ysiY6TxYMIt3XM42l+EC8HzVxgMfP8IZE6QuvuCeElor5/8p4KC5ffBxldh5v0w6wF/RxOUWN3SBZ4jmMw9HeuiAsVN2+ZFJeb5eYy2xgZ/h+BzRA2Vp6g9Aj89Bx9fDybxKcfT3PDNDXx15Ct/hwGRidK/zcFpndC6YSNFv7ma+g8+8FsMoZahqjjatWebLzBWVfk7hD4Rn5qGxWJhyaP388Obr9DW5J+fpW38TH0HFovvzVlDkXAUVCJD5SkOnXBHz51mn/km6BeO5o97avewrWobFwy6wI8RYbdOaApcc09DVZXbjEXD0qW0b92KIi4OzVC7T5hu3z5kWulNRZmSgio11eXzPUF2TDa/HfFb3tvn49FBHsTxTbcjAAqZjVXBk6E6mdqSY5Tu3U3FoYPMuPo68IOeiY6XWvxNBjO6VgMR0eHmoOR5WhvFkp+grxwMbrsER+5bvJTP9tQxMkHGF0/c5Lc4HH2mABI0Cf4JxBGruWcAu6U3LPmImsWLuzynZfVqWlavtj0+dvVvbdvJixaRcvttXonNOvh6bt5cm6DaX7cfrVIScykRkkt+oFNfbnfxzxrq/9/LYFryO5kjJ8w8c8eMQ6XR+qWGSqGSExGrpr1JT0tdhxBUHsCg06HXtaPWhoZPWk8QgsoTdDRD0U/S9tBz/BuLB6hpbsMQm01xY5Ff43D0mQK4YLCfs1PgkKEK3CW/+CsuJ3r2LCw6nU0o5b3/Hsa6OspuvwOUSnLfehN5pGtXb2WK9wSNq8HX1nmNALeMu4VbCwK/hq94b61tW6n2bUG6K4J1yQ/s7ugDJ0z2axwxCRram/Q01+lIyY3xayzBRkt9Ha31dRj1zoPDi3ftICYpmaiERKITEv0Une8QgsoTFK4BswES8iFpcLenBzrJMZHQADqzf0vsHK0QZuXMYkDsAP8FY8WaoWqvA4MuIJsPVKmpqFJTMbfZsyjaESOo/+gjACInTyJqsn/evKyDrxs7GqlorSBOE+dko5ASEfjZKYDivYHj0ZbxxONohg7zdxh9or25ifKD+wFIGziEysLDTm/KVUWFKNVStsjbb8pZQxOIiteg1xmpLm7udDwyTk1UXPi5f/eEnd+vYP3Hnesyv3jmcQCmXXYVpy642tdh+RwhqDyB43JfEI8jsZIWHw0lZvQB9OsxN2+uv0OQiEgAhUZqPGguh8R8f0fUY6zjZmLOOMNvMVgHX//f+v/jo4MfcdPYm5idO9tv8fQFXauBygAoRLcSO2+e22xjoFO0cxsWi5mUvHwKt27s9Kb84V/vs217+01ZqZZzdEcNR3e4HjY9+bwBTLlgoNfuH8yMPXMegyZOdXs8KgyyUyAElWeoL5L+DcJhyK5IS4wBGjEp/PtprKTZPk5jarr7P1afIpPBmAUgl4M8eP58TC0ttG2SRntE+1FQWbFaJ1S0Vvg5kt5Tsq8Oi5ih6xGKtm8BYOCEKX5/Ux41I4v8cSkY9SY+fUYacH/JvRNsS7qRcaKuyh3RYbKk1x3B844QALgdjnzd11BXCLGh4dadlZIANGJR+beYsMPBfsKVO7rfuKjrgu9AxNzURPTMmRjLy1Hn5fk7HJt1wvGWwK1Fc4dSJSd1QAxVRZ2XhbyNtYPT4lC4Xf/BB5iamok67VTUAwZ4tUPT08SlpRObksrACZP9/qYcFadBHaGkpc7+s03OifG5aWuooG9vw2QyEREdPvVoQlD1gkWLFrFo0SKampqIizvJGiExdFLBuelJQBEydSRtug4itf7JVA2OD9B6tOYK6csdMenSVwChyswkZ/GLAeOxY53nV94auN2S7sgfl0L28EReu3Otz+/tqoOz6ulnAKh99VWvdmh6g1Mv+w0zrr7e32EA0pDrj/++megEUSfVXzZ+8THr/vc2o2fN5eyb7/R3OD5DCCpBJ3LSkrHo28DQTmVtA/lZgTWCxu9sfgvWPuX+eAC6qOtLS9EOHYosQGr8rIXola2VmMwmFHKRBegJ1g5OR47/6T70hYWkPnA/sfPm+SmyvhMov5NR8dKSXmujMGbuLxGx0liu1vrAad7wBUJQCTqhVik59uwCv8ZQ1lKGzhigYyAU0twv8mfA0R+l7RtWgvLEEmmAZKf0paW27aOXLWDQsq9R5+T4MSI7KREpKGVKjBYj1e3VQTMwufZ4C9HxGuQK/3TAWjs4HVHn5qIvLEQeERFUy30A5pPLJ/xIZJwGmVyGxRwYWdxgJipe8mZrbWjwbyA+RoyeEQQkb+56k4u+uMjfYbgmaZD0r6Hdvi99LGQWSF8BIqjatm23P9DrKf/rI/4KpRMKuYK0KCnzGUx1VD+8vY837v2J4j213Z/sI6y+YcHolv7GXTdhMvrfaR5ALpfZslSC/hEVZxVUIkMlEPgVi8XCurJ1bo9b3bYdM1g+dduOsbqlB3aHWuT4AqfH0aef5p9A3HDD6Bswmo22eqpAp7Wxw+ZPlJxjL7RtqmknKct/TRPKE1mpQHdLd2X+GJucSk3xMcD7PlM9ISZBS0udWPLrL9aOzLbGRsxmE/IwWdIXgkrgkvMfeJUDjXDdlAwevG6+T+99uOEw5a3laBQap04/K35324494ZbeUum9e3gAdXa2/YFMRtxFF/ktFldcPuxyf4fQK47tlrJSqXkxGPX2paqlT23iqodPIS7FP12x9gxVYLuluzJ/rCw8xHsP3AUEhvmjKEj3DJGxcSCTYbGYaW9qsi0BhjpCUAlcUt5ixBA7gEPHXZvcueK/nyzn5qv6L76s2akJqRNYX76+03Gr27Y7vO62HX1iSc+k7/q8AEI7ejTKROET0x+sgipvdBIVR+zGniaDhfLDDf4TVEGSobL6TOl1Oj5+/EHMJhMX/vFBYpKlv9dAMH+MTgy8yQfBiFyhIDI2jrbGBlob6oWgEoQ3kUqoBepbu05///eT5YCUzv3bJgNqxZfccHn/RNWq4lUADIofZBNUJy/pjUwa2a979AulGiKToa3nYtPfRE+f7u8QOtHY0UhhYyFquZpRyaP8HU6XmIxmSvZJ9SB5Y5JRquzlpwqVjIzB8X6KDLSjR5H59NOosgPbB8/qM3Vo4y+YTSbi0zMYPGWav8NyImNwPO3NevavD+zl/GBg2KnTMekNqLThI1KFoBK4JFarBAs06Yxdnrdi8wFQSeJGrtaybOOefgmqJn0TO6t3AvDevvds+wNugG5sRsALKrOD+WPUjMATVGtK1vCXn//CqZmn8urcV/0dTpeUH27AoDMREaMiNTcGo8Fulb7g/sl+y06B1PkXd8H5frt/bzl6wh09f/wkP0fSmfyxyWQPSxCCygPMvu4P/g7B5whBJXBJfKQaWqFF33UL8bxJw9ixQ9o263Wcd8rwft13/fH1WLCQGZ3Jc2c85/KcgBigO/x8qbNv+/v+jsQtbVu22LY1Q4b4MRLXJGqlJZ46XeB3AhVZl/tGJSGTO/smxSb7d6JAoGAtOndHVEIiUfEJHN0mjUAaWBB4gkog6A9CUAlckhSjhVZoN3Vtunftpefy1A5pOPSfJ6t6lJ2ydum5vK82ib9O+yvRqmj/Lut1xxn3g741oAVVZEGBbTtQzBMdSYpIAqC2PXAsCNxRMCeH+NRIEjOj/B2KS1p/+QV9cQnRs2ahSvOPF5WronNHpl12FdMu+w0X/vFBjm7fQvbIMT6MrucYOgLHGyuYsVgs6NvbMRkNUpF6GCAElcAlqXFRUAEd9Lzd9dpLz+3Rea669By5ZdwtXFZwWY/vK3CNPCow3/ytOGaozBYzcpn/bfFaGztoa3TdbJA2IDZgB+RWPfNPdHv3kp2e5jdBZS06N+r1fPjX+wC48tF/oFRLP7OohERkMhnpg4eSPnioX2LsDovFwn8f/MXfYYQE27/5mlVvvcrQU07ngrvv93c4PkEIKoFL0hNjsOhrkWPu/uReYu3S0xl1ttqod855x6noPCjQt/o7Ape4GqCr27cP2YniUGVKSkA4aidppQyVyWKiqaOJeG28fwMC9vxYxqZlRW6PTz5vAFMuCLy5ncrUVNi716/WCdaic4PD713qgIFBVZQsk8mIitPQVNPe/cmCLomMi4f/3959h8dRXvsD/27vRb1ZkmVbLnKT5V6xiSmGYKoBx9j0UASEADcXwu+GkHBpF24gQYZwufQSg4NJboAYQww2tsG9G9wlWb2vtrf5/THeXUnWalfa2Z2Z3fN5Hj3PlpnZ4/Fq9+id9z0HgK2zg99AEogSKtKv2y5fhNsuj8+xs7Rs4U27xx58bGz6WKw/vR6N9kZcPPxiZEHgSdWJfwHvXMl3FP3qr4Fu9YobgreF0kBXIVPAoDSg292NNmebIBKq8QsKUDI5C163Dx8/txsAMHZWLjRGJYrK0pGWJ8xRPzFUS3darfj6ndcwYso0lM6cK8jL0ABbiyqQUPFdtFXMAtXS7V2UUJF+VFVVoaqqCj4B9Z9KJh8d/QgHWg8gR5uDElMJ3+EMTN+nYXRHNZAjjDlf5uuuhfXbb+Hctw9pN66CaWnveW2BL18hyFBnsAmVow0jzSP5Dgc6kwo6k6rXPJpjO5vg8zIYOysPOpMwCz+KoRZV9YE9OPT1l2g49iNGz5rHdzhhKTWhr0W+i7aKmS6NTaisHZRQkX5UVlaisrISFosFJlNqTLJLlHZnOw62HgQAzCsQ7odtkCGv9/3/OR+4exuQzn8iKNPr4TpyBACQdu21UI3kP1EJ5+YJN8PpdaLQIIymzf3xeRkYMtRIy9PyHUpYwYRKwNXSA6v7hFguoSfGF1rZzHfRVjELFPP0OB1wOx1QqpP/HFJCRcKaXFkFOyPHmvsuQMXY+M4b+a7+OzBgMDZ9LLK1/M/viUiTBkgVgP9sY1evA6gRRkJl+/57MG43FPn5UI4Q3nyfnq4qvYrvEKJSPCFDsJeogB6X/AQ6QsX4/cH6UyMEnlBlDTeg+mzza76LtoqZQq2BXKWC1+WCrbMDytzkT6j4X1ZDBKtTZoLHOAwn6uL/Ib2lfgsAYH6B8ApQ9ksiAfQ9Ej+5BigSRtVn22a2dY/uvAWCTgLEpHhCBt8hDEjoI1TNp0/C3tUJhVqDgrHCuDQeTlaPxtd8F20VM4lEAr2ZXcmbKhPTaYSKhCXzuuAH0NDaFXHbWH3f8D0AYMGwBXF/Lc6YCgFLHXv79n8JYnSKYRhYv9kEANDPF/657HB24FTXKajlasHWHZMppBg2Rti9yJTDi5H//HNQ5ORE3pgHJ/fsAAAUT5wMmVzBczQDM2eHLu1S0dbYlM6aC5fNCo3eEHnjJEAJFQlLAQ9cAJq7rIPab6DCnQBbFiFL23tidLenGyaVCRMzhVnsr1+G3NDttGL+4ujBffIkPHV1kCgU0M2ayXc4EW2o3oDff/d7LCxciD+d/ye+w+lXQakZcmX09dj4INPrYbr0Ur7DCEss86cAwJAhnjIPQrfgZzfxHUJCUUJFwlJJfHABaO2yR9y2p2gKd/btxadT6DA3fy5kUmF/cfVSMh84/AnfUfTirqmB1GSCZvx4SLXCnUQdEKiW3u4QbvuZwrJ0vkMQNZ/XA4+LbbJeQu1mSBKjhIqEpZMDFgDtVmfEbXsaSuHOL67+Aj5GZOUoJi8HPn2Q7yh6MSxahNFbvoWvs5PvUKISKO7Z5hRu+5nS6cK8jNaXfccOuE6cgHbGTKhG8H/5OUAmV+DG/3oJ3e2tMKRn8h3OoLidXihUIvojT2DY9jN2eN3u4Kq/ZEaT0klYehX79uhyege1X5Y2C2UZZRibHmqUPDZ9LMoyylCWUXbO5T4AkEvlSFMn/y9cIkjkcsgzxfHFFUiohNwgWakWx9+dbf/7Ohp/+zjsO3fwHUq/xJZMAUDD8U6+QxC1g19vwEs3X4f1r7zIdygJQQkVCcusUYBxD+5yH+GP3+kEwzCRNxSQdA17Oc3hdfSqnM83r1tko6XoudJPOKUTGL8fXnf/vRHFwGH18B2CqAWqpdMqP5Ly1jx2C6TSxOTc2+q34SfFP0nIa3Gm60zodgITmUCvvr5a//xnOHbvQWZlJdKXX5+weGKhlWuhlqnh9DnR5myDVsH/vC+GYbDmie18hzFoQqxF1XjyONY98zhKZ87BJfcI6/J4NJzdlFDFInCZjxIqkvLinUx5fKEPK1Fe7utZh8rRAagS0/Orv159PTl27gREklBJJBJkaDJQZ61Dm6NNEBXTW89YYesS36iKEGtR/bhtM7xuF3zewU0bEAoaoYpNIKGyd3XC7/dBKqZFR0NAl/wIb/a17gveHp02msdIhkimDN12JO4vMPN112L4X9ei+L13g4/lPfM0AECiVCLzF/clLBYu3DLhFvx65q+Rr8/nOxQAQM0h4U6QH0ioQTK/CVVnc1Pw9v6v/glA+NXRw3FYxZdYC4nWZAYkEjB+P5zd3XyHE3c0QkXC2rrvR/z8z19BImFwoKqS8+N/V/9d8LZUIvLcPoHL/hXZ2VBkZ8NvD8058jY0AAC0M2dCVVSUsFi4cO2Ya/kOoZeaQ73/Ly2tDmQUJGb0MRZCaZBcf/RI6M7ZS+HDJ1fwFE1snDRCFROpTAat0QR7VyesHe1sgpXERP4tRuLJzzCwGothUedG3ngItjVsi8txeWHnd5Wa7Vu2dY9+gfCrowuZy+FFw4nenQE+enoHulocPEUUveAIVWsrGB9/k+rzR4/rdT+zsFi0S+bpkl/sdGeTKHsKzKOiESoSVlFuJoATkCjU6LY5YNBx14ahydaE453HOTse73guTGnfuxcAoF8gkl6IPbQ723Gq6xR0Cl2vUht8OHOkHYyfgcaohMPCXu7xeRg0HO8UfE83eWYG234mm9/m4ubs3nW7Rs0QRo/LoSidJoJG7QI3asYc5I8ZB61Ik+rBoISKhJWfmQbG74NEKkNNYyvGjwxNGA60l3F6fJCq2X52P7QfgVrBTjrM0mRBp9CFPXagGXLS4HmECl4vlMXFUBYLowXOYHx+6nM8vf1pXFh8IZ5f+HxMx7J1uWAfYEK51qSEzqQK+3xg/lTh2DQc3c7OBZIpJMgbZY4prkSQyGSCbD8j5urokxbxv0hC7OYs+xnfISQMJVQkLLlcBrjtgNqA2qa2XglVz/YyurNFmW9cH+rFdtfku3DT+JvCHntM2hhcU3oN1h5bG5fYEy478Y193Wd6lG2QyaBfvDjhMXAhXc3WouKiuOehTXXY8enpsM9Pv3Q4Zlw2IuzzxRMy4XH7MXpGbjChWvbwdMGPTglVSfk05I4q5TsMQhKCEioyIInXCcCAutbOXo8H2st0Oe34+Zc3AwBeXfwGTGq2jlB/7WV6Gp85HiWmkuRJqEYuSvhL2vfsDd3x+aAaNSrhMXCBy/Yz4xcUoGRyFrxuHz5+bjcA4KqHKoLNjbUm5UC7Y8SULIyYkgWPKzQHyZgpnmTKsXcvnEeOQD1hIjQTJ/AdDi775cOiXirf2WxHWo5W8M2xhYxhGLjsNnhdLujTM/gOJ65oUjoZkNzPXj5pbLf0ejzQXmZ02pjgY6PTxoRtL1NnrRvwdSI9T86lnVIeuqNWQzttKm+xxCIwQtXmiD2h0plUyCoyILPQEHwss9CArCL2Z6DLfcmg8+N1aHz8d7B+8w3foSSFD/9zB1pqrXyHIWo/btuMqluux6d//C++Q4k7SqgGoaqqCmVlZZg+fTrfoSSMCl4wbjvsrsGvdumZJC3/dDlqu2sBAFvrt2Jn405UW6r7fV6ULPUJf0nlsGHB28PfexfKQnHO98jQsH+1WtyWXsVeE+3ojka01VlF176nJyHUorJbuiJvJCKObqpFFYtUqpZOl/wGobKyEpWVlbBYLDCZTHyHkxD7/ngHO5dqCPY27w3edvlc2N20G4WGQryw6wUcaT+CK0Ze0e/zgtfdyP54eyylf3spcP0H7G1DLvuTQPYdO6AZPz6hr8kVk8oEmUQGH+NDu7MdObqcyDtxzO3w4qs3jsDvZ3DD72dDaxz40qBQCaEWVfX+Pby9djxQQhUbnZkdgba2t6LpZP8ru3Vp6dCnpScyrLighIoMaKjJFACUZ5cHb6tkKlTkVKDV0Yoj7Wzhv6Ujl+KTE5/0el4Udr4BfPN078cs9cCr57G3z3sYWPRI3MPw9ag8rJszJ+6vFy9SiRRp6jS0OlrR5mzjPKGKpjDnmR864PczMGVrYMrS9JpDJSbybP5HqJIuoaJaVDEJjFB5XC68+8j9/W4z+5rlmLNsRQKjig9KqEjcFOgLgrc/uPQDFBoK8fcTfwcAjEsfh/GZ4895XhSm3QyMWcLednYCb1/O3r7tK0AqT9jolH17qIFvz8t/YnTHpDsAANlabur+WFpDo4cfPb0Dy38za8CVetWH2flbRePFPWlWnsXvCJXf70PNwX2RNxQRGqGKjVKjgVyhhNfjxqW/+Hd8+uIzAIDrH38WciU7EqxLgtEpgBIqEsEz73yKt7dVozRdjk+e+PmQjxNIrr498y0AYF7BvH6fF4Wel/T8PgASAAxgLgb0A69u5IKnuRnelhZYPv0s+JjzyBFI1GoA7Dwavos7Dtb1Y7lt5tzYo9p5pMKcDMOg5iCbUBWLPaHK7l0tXSJL7Oq0phPH4bQl1yRuRzeNUMVCIpFAl56OrqZGaPShxSLZw0dAcfYzK1lQQkUGVNvSBZuxGCc6Tsd8LJ/fh60NWwGcm1CJllQGaNLYSun2toQkVJ1rPkRrVVWvx6pX3BC8nVlZiax774l7HEKWOzI0xzFSYc72BhusHS7IFFIUjA6/HRAqHOp1hy4JttZ29yrLwOdKQnlGBiCVAn4/fO3twUnqXLB2tMPWEb5WmC4tHaf27uTs9RKtv/9bALC0ONBS0837/62Y6Uxp6GpqhL2rk+9Q4ooSKjIgk479AHEzsS8IPdh2EF2uLhiUBkzKmgS3L0mG0rUZoYQqAczXXQvlqFGo/+UvIVEqUfjmG5CqQh/0XH6JJkqroxWnu07DoDRgTPqYyDtE0LN2VKTCnIFmyAWl5oj1hvorHBqodwVELhwabxKZDMP++CJkJhOkRiOnx97/5efYtvaDsM/PvmY5Tu/dHfZ5oQtXFLbptAUfPrmD9/9bMRs5bSayiktgyMjkO5S4ooSKDChdrwXgh7fPW6XZ4kRztwtdztDw/g8NFpjUfgBAtkEFfZ/vsO8bvgcAzM6bDblUnlwJVduxhCVUiuxs+M7OkdHOmAFdhUgm8w/g7yf+jj/s+gN+OuKneGr+U5weO1JhzjM/sAlVNPOnAoVDw4lUODQRDHGqmD9p8RKMnDoTXrcbf3nsVwB6z4ORq9X47uM1cXntRBDD/61Yzbj8GgCAx+nkOZL4ooSKDCjDpAPQDZ9U0evx976vwYtfHQMkbhjO9rNd8dp2gGE/dH7xk1LcsbD3ROlbJ9yKOflzIJMkWdXhMUuAnDLAlLh5YGk3rIBmagXgE+dqtL4C1dK5aD8zWEvumIj6Y50RVwICbOHQVL3soz+7tL3nl2LfeTB3vPwWag7uw2d/eo6PEGOSyv+3hBuUUJEBZRjZhIqR9f7rbMXMIlxQlgOnz4GbN7KPrb1rNtQydjQg26AC4O+1j0wqw4RM/tthcG7e/Ql/SYlUKtq6U/3hslr6QMI1T9YYlLBb3IAEov9SdR45AsfevVCWjIBu1syEvrbOnIZR02Yl9DXjyWnzwNHthjFLA5mM6mAPFcMwcNlsNIeKpLbsdCOARkDeezVGtlGNbKMadk9o5KoszwitQhu8b/fYExUmEblAtfR4j1DF2jxZDLq/+hdaX3oJ5muvTXhClWzeeXQr3E4fVjw+C+YcbeQdSL9O7dmJdc88jqxicf9uRUIJFRlQdtrZia0MA6fLDbVqaPMIXtz9IhxeB1aMW8HJpGNB8fsBVxfg8wD62MsVBMoihGP5x6fwtbcjbcXPoJk0KebXE4LACFW7sx1+xg+pZGijAZFW4ZWUZ53TPLl0WjbK5hVApZUnxTyZYPuZBNaiaj59Et+8+zpKp8/G+PN+krDXjTe1QQm30wFHt5sSqhgEinvSCBVJacV5WTj6+4ugVMT2Vvn81OfocHXgspGXcRSZgOx7H/hbJTBqMXDDX2M+XH9lEXqSmkzwd3XBcEF8Jh/zITCHysf4YHFZYFabh3ScaFfh9ayEfmJPCxatHAeFKjnm9vFRLf3Unp2oObAXcqUyqRIqrUEBS4uDalHFKJhQWTr5DSTOKKEiA5JKpVBKY5870OHqgFauRXlWeexBCY327Oowjlb5ma+7FvrzF4FxOoP1pYrfexcStRqexkbUVd4DyOXQzkqeuSoKmQJGpREWtwVtzrYhJ1RDWamVN8qcNMkU0KNaegITqtP72KS1ZPLUhL1mIqj17PvFTtXSY6IxmgCJBIzfH3ljEaOEiiTMrLxZUMgUkTcUG44TKkV2NhTZ2fDbQ3PQ1OPGQarVwrGPbeuhnTIFMn3kVWlicnf53ZBJZEhTpw35GENZqVU4LjnaXgQER6ja2hJSLd1lt6H+KNufc3h5ciVUGgP7eeW0UkIVC5lcDo3BCIelK/LGIkYJFYno/IdWo9kOPHX9TFy2YOgfmHML5nIYlYAEE6r4L/m3bWZb9+jmz4/7ayXainGJa47ac45V4bihJ3BC1LNauretLe5tiGoO7oPf54MpOwcum7VXNfXm0yd79WvTi6xnm8YQGKGiS36x0pnTKKEipNqugM+Yj6O1sV1CmF+QfEkAgFBC5bYCHiegiE9/Kr/bDdv3bHFU/bwkTU4TpP54Z/C2VCbhL5A4kMhkkGdkwNvSAm9zS9wTqkB1dI3RhHcfub/Xc4ECoABbSX3OssQlzVzQ6M+OUNElv5jpzGlorTnNdxhxRQkViUgOH3wAOmyOIR+jxFSCPH0ed0EJidoESGQA42Nb0Cjy4/Iyjt27wdjtkGVmQjV2bFxeg0+B9jMmlQmlaaVxfa2Te0Ir4NY+sxPLfzMLpiyN4Hv1RSvvqacg1aihKhke19dhGAan9u0CAEy5+DJkFBSG3VYnstEpAMguNmLCeQXIKeG2jU8qGlExHcbMbBz413q+Q4kbSqhIREqJDy4Andahtw2YnTebu4CERiJhR6lszew8KmN8Eiq/0wnV6NFQjxsHCQcLBYRm7dG1qNpbhatLr8Zv5/w2rq/lsnmDt30eBg3HO2HK0gi+V1+0EjWC6XY6kDGsCG6HHaUzZkOhis/oLF/yS83ILzXzHUZSqFiyFB6nkxIqktpUUqAbgMUR3bB3i70FLY4WOL2hBGxx0WIcbjsMAMjSZCFLK74GvgOauAzwOgBl/CaKGxYuhGHhQjBeb+SNRShYLd0Z/56Is68aiepD7OvIFBLkjTIDoH5ug+Xo7sbVjzwOn9cLmZy+Tkj0OpubkFVUzHcYnKLfABKR5uy7pNsZ3cTMj45+hJf3vdzrsVu+uCV4+67Jd+Hu8rs5i08QLn4yYS8lSdIvrmC1dEf8J/f3bJi87OHpMGWx95Oln5vrxAnYvvsOipwczpsldzY3BW+/9+gvcdNzq2HOyeX0NYSCbZnihcPqhjlbC4k0uebbJRLDMGg6fTJ4PxnfO8n5yUw4pVGwl5dsruhGRpaNXoaFhQvR6miFUWmEsk8fwCxNko1OJYC3pQXynBxI1cl1SaWnQHHPeI9QWVodUOtC5Tt6JlfJwr5zF5p+/wT0ixZxnlAFSiQAgM/tRt0Ph5LqS7Env4/B/z60GQBw63PzodYnYdmXBDlz+AA+/N2vg/eT8b2TfBMxCOf0KjbvdnmZqLbP0mahLKMM7x5+F7d/cTsarA0oyygL/iTd5T6AbT9jb49b6YTm5/8bR2fOQue6T+JyfCEIJFTx7Ofn8/mx5onteOc/tsXtNYRAls6WgvB1dHB+7PzR43rdP/j1Bs5fQyhkcilUWvbzz0G1qGLSd1GCTKlEwdjkafAO0AgVicLbj6yEUiEfVPsZh9eBXU274Pa7UWIqiWN0ArHxCWDz88CMnwOX/Bfnh7d99x0YlwvK4ck156CnwCU/h9cBu8feq9E2V5pOWeB2+qDSJfelG7nZDADwdXZyfmxzdk6v++n5wzh/DSFR6xVw2b1wdLuRlqvjOxzRCrSfCVjxn39IqtEpgEaoSBT0WvWge/ntbNwJt9+NXF1uaiRUHFdL78tvsUBqNEIzcWJcji8EGrkGahl7STNel/1qzk5EHzYmuYp59iWLY0LVV7JVR+9Le7a4J/Xzi41So4VMEZr+0TcxTwY0QkXiYmv9VgDA3Py5kEiSezQAQNwTKgDQzZmTtBPSAUAikeC+ivugkqlgVMan7k/tYfZy4rCx6TixuyXC1uIVTKi6uuLafkYqk6Fo/OS4HFsoAvOmHFTcMyYSiQQ6sxmWlsT1mEy05P10Jpz559a9ePSDLTAoJfj6+ehW522p3wIAmJM/J56hCUcCEir9/HlxO7ZQrCxbGbdjO6xuNNd0AwC0xtBfymIs3BmJzGRibzAMfBYL5GnxGZHLKx0DlZb7S7NCojn7XnFYaYQqVloTJVQkxTW2W9CmG44268B/0ddZ61CaVooGawNOdZ2CVCLFzLyZCYqSZ9qzEy7j2M9PNy/5E6pADbNwYqlhVnukHTi7ruLzVw4EHxdj4c5wPM3N8Law50+i0YBxOGDfuROKfLbYrDwri9NWNMUTp3B2LKEKtJ9xWGiEKlY6k5nvEOKKEioSUaZZD6AbjOzcv9zrrHXB28s/XY51l6/DlyfZBr4jjWWobQVq0bshZrZBhWxjki3/7zlCxTBs9XQOKUeNgiIn+eYc9PXmoTfx9uG3wz4fSw2zmkNssjtmVi4mn99/ixSxF+7sXPMhWquqej1Wd+99wduZlZXIuveemF7D5w2N1BRNTO7LfQCQN9KMCed5kT86uefdJULxpCk4sWs732HEDSVUg1BVVYWqqir4fL7IGyeRLLMBQAOgODeh2tu8N3jb5XNhd9Nu1NQXwNm0BPvrjPjpd9+es88vflKKX14wOo4R8yCQUHmdgMcOKLldDZT2s+WcHk+ofH72d2tx0WJ8WfMlAOCti9+CWs4m4LHUMJuwoAA6kwojyrOQVWSIPVgBMl93LfTnLwLjdKJ6xQ0AgOL33oXkbP0yeVbsJUuYHtVTsgqHx3w8oSuekIHiCRl8h5EUJiy8AP964898hxE3lFANQmVlJSorK2GxWGAKzFFIAbkZZgCARK6C3emCVh1KrMqzy4O3VTIVKnIqMDs7C1dPmgynx4drXmHr/ay9czbUCnaeSrZB/HNUzqHUAxOuBtRmwD9wAdSel2X6099lGe20aVxEKXiFxnNHjsamj+WkhELuCBNyRyT3760iOxuK7Gz47fbgY+px4yDlcJ6TXBEqbpmMPSUJGSpKqEhEOemhL6Gmtk6UFIQuPRXoC4K3P7j0AxQa2C/EbKMadncosSjLN0KrTOK3m0QCXPN6VJv2d1mmp8BlGfeZM8HHTl17HUb+39+hLOz/UlWyCPTzi2dxz1Tj2Lcfutmz+A5DtHq2n6E6VLFhmOiKQ4tVEn/DEa6oVUowHhckChUa27p6JVQ9FegL8FX1V7B77ZhbMBdqaXyWvotdtJdlOv6yJrST0wn7zl1Jn1DFq1r6/o21MGZqMGxMWnBFX6qwbt7MWUJlt3Rh7z//wcmxxMJucePNf98CSIC7qhZBSv38hqylRy+/ZEQJFYmO1wkoVGjt7B5ws9cPvo79rfvxuzm/w0XFlyUoOIHw+wFnJyBTAKrwc3SivSzjPHQodEethnZachdQBHo0SOYwoXI7vdiy9jj8PgYrHp8Fc05yL/Pvy9fVFXmjKFXv241tf/2As+OJQbB/HwO4bB5oDOJeuMAnbY9Vfozfz18gcUIJFYnKll9fhEyzAWpV+A+TLlcXDrYdBADMzp+dqNCE46+3Aoc+Bi5+Bph1Z0yH8jsccB0JNaEt+XBN0o9OAaFLfha3hbNj1h/thN/HwJiphik7+RohR+Lr6uTsWKf37+HsWGIhk7H9/Fx2L+zdbkqoYqAxhqaPOKzdUCZZDTOaUUiiMiwnY8BkCgB2NO6An/FjlHkUcnXJ1aMpKsFaVLEX97Tv3AnGHap7oxyW3P3SAkwqE2QSbi/JBdrNFJZlpEbV/j78ndyMUDEMg+oUTKgABJMoJ7WfiYmsR6cHO4eJvlDQCBXhzHcN3wGIXB09ULzR6XUGH/uh/YdeS+OHWryRVxxWS7d9uyXmY4iRVCLFL6f+EjKJDM/seAZAqGDsUNWcbTdTVJYeYcvkxNUlv5bqU7B1dkCuVMHrdnFyTLHQGBTobALs1H6GM5RQkZR169NvY29dN26YMxK/XH5xv9sEEqq5+XMHPNZHRz/Cy/te7vXYjf+8MXg7luKNvOIyodqamgkVANw4/kYc6zgWvB8oGBtYQToYXS12dLU4IJVKkr4hcjhcJVSn97EV5YeNGx+8nSqCI1TUfoYzNkqoSKraV9eNNt1w7D7REHabFkdLsBbVQJaNXoaFhQvDPh9L8UZeBRKq7gagfm/47Qy57E8YnqYmuI4dZ0sxJPky43D6Kxg7lIQqUB09d6QJSk1qftz5OjvBMEzMlzur97NJVNGEyamXUJ2dmE4jVNxxWgde4CRGqfkJQwYt8F1kdQ1ctHJazrTgpbtwsrQivaQXSWAOVftJ4NXzwm933sPAokfCPu08cACQSKAeXwbnwUNht0tWjbZGyKSheVTRJOnhtJxthlw0PjUv9wHAsNWrYz6Gz+tFc/VpAEDxxPKYjyc2BWPSIJVKkDOcSsFwJXNYEd8hcI4SKhIV7dnaPQMlVJ9d+Rk8/hQeEtf2aE/x828ArwN4/ezl0Vv+CcjPrjAbYHQKAAyLF6N0y7fw1Nbi9HXXxylY4Xr38Lt46/Bbwfs9C8YO1qKVYzHlwqKUHZ0CAG3FlJhHp2RyOW546gXUHNgLtzM097H59EnIlezlMF1aOvRpyZm4lk7LQem05O+lmUiF4yfxHQLnUvdThgyKTikDPIDDE752SIYmg5MWIaJlyAPGXwnoc4D8csBtCz2XO2lQ/f3k6emQqpOsgXSU0jW9v5R7VuMfLIlEQtWtOXLo6w3YtrZ3Daq/PPar4O3Z1yzHnGUrEh0WIYJBCRWJikGjYBOqga/4pTZ9NrDsTb6jEL1AtXTCjY6/rIHhgsUx1zGbtHgJRk6dGfZ5XZKOTgEA42fgtHvgdnhhykrhPxo51N3ehvT8of+xJESUUJGoGDVKwAK4feG3+a7+O5xffH7igkpCba+/AevGjUi74Qbo58/jOxxeBKql98fW5YK9K/zEYK1JCZ2Jbb79txf2QKWVY/aVI1P6S7D52WehyM0ZckJlaW3G2if+H0qmTMfCVbelZC2v9gYb/vL77VDrFLj1+fl8h5MUPv3js1j59It8h8EpSqhIVMw69vKTmwlfdNHmtYV9LmUE2s8M8dKn9euvYd+xA4aLL+I2LhEJVEvvz6FNddjx6emwz0+/dDhmXDYCjm43zvzQAQBYcP0YrkMUvJ6NtQHAderUkI91et9udDTUQ2M4mpLJFNCjbILdA7/PD6mMamLHymm18h0C5yihIlF54PoLcUu3DTkZi3s93mRrCt6enjs90WEJz2vnA/V7gJ99BAwfuB5XX36bDfY9bCVq/dzB7ZtMBrrkN35BAUomZ8Hr9uHj59il+1c9VBFseKw1sV98tT+w5RIyhumhNaZeqxD7nr297juP/DDkYwVKJBRPmhJLSKKm1isACQAGcNq8Kfme4prLRgkVSVFpRj3SjPpzHg8U8wQAo5KWFEMz9PYzth07AI8HioICKIqLwTgcHAcnDgONUOlMKuhMKnhcoWvPmYUGKFS9R05rA9XRxyXvvJ6BaKeU97ovM4Rv1j0Qv8+HmoP7AADDJw+tdEUykEolUOsUcFo9cHS7KaEaJGtHO2wd7fD2aKflstvQcPwopFJp0qwQpYSKxOT7xu/5DkFYYqiWbtuyFQCgmzsXEokEqVnSE1DIFKgsr0TV3qoh7c8wTDChKkzRdjN9ez8yvqGtJmk8cRQumw1qnR65o4be/icZaPShhIoMzv4vPz9nhSgAvP/oAwCSZ4UoJVQkKmea2rD86b/A5QO2/7ESAODz+7CjcQfPkQlMTAkV225GNy91L/cFrCpbNeSEqqPBDluXGzKFFHmjTJF3SAG+zs4h7Re43Fc0sRxSKbdNq8VGY1Cio9EOBzVIHrS+K0TX/PZheFxOLH3g1zBmZSfNClFKqEhU/AyDWtVwAIDV7oReq8aR9iOwuC38BiY02qFd8rPv2QP3yZOAVArdrFlxCEwcuGicXXuEHZ3KLzVDrkjtJCDA1zm0fn6BhCqVL/cFaAxs+xmHlUaoBkvf55KexmiCp8UJXVo6ckaM4jEyblFCRaKSnRaaH9XU3gm9NhcMw2B23mxsa9jGY2QCM4iEqudKrNq77oZ21kxIpDLIjKk7F42LxtlqvQI5JUYUj6d6VgCQ//xzUBYVD3o/hmGQPXwkbJ0dKT0hPaBofAa0RhXS88+dS0oGZ9y88+Cy26HWD21un1BRQkWiolYpwXickCjUaGrrwshhuZiYNREvLHoBM98PX+wv5QQv+bVH3LTXSiy3G6bLr4DpisvjE5dIBBpnv37gdayvXo8rR12J68eG2u9E0zh7zMxcjJnJJvwEMCxaBKl28GU8JBIJFt92NyeNlZNB2dx8vkNIGvOuX8V3CHFBCRWJntcFKNRo6Uy+LuGcSR8JjL8KyC6LuGmvlVhqNbTTpqb8F1egcfaotFFYX70eUokUZRmRz2V/Uv1ccoXOIyHRoYSKRE3idQEAWrusaLQ1AqBSCefImwQse4O97R640GnPlVjDXvpTzK1BkkmgdEKbc3Bz0dobbNCZVVClcDPkvizr18NvtcF05ZWQ6aPra8gwDBqPH0XOiFGQymgeGgD4/QycVg+8bh+MmRq+wxE1n9cLl80KiVQKjSF5vkOo3CuJmoxhl163W+x489CbuGDtBXhl3ys8R5Ucztx2Oxp/93u+wxCMQPuZdkfkS6c9ffnGYfzvg5tRfXDwqyyTVdOTT6HpP/8T3uamyBuf1V53Bu//vwfx6t03we8boN9UCmk41ok3fvUt/u9P+/gORfS2rf0AL//8Bmz96H2+Q+EUJVQkagqwCVWH1YFt9exE9NFpo/kMSZj8PsDWBvgHV/tHNZrOZUCgWvpgRqgc3W601HaD8TPILKSJwwEyE1s6wtfREfU+1fvZ1X2ZRcNphOqsQPsZqkMVO7We/f10WpNr+giNi5OoffzQZVAp5ZBp3bjs/34LqUSKabnT+A5LeJ4dwfbzu2PzoHaj+lMhgYSq3Rn9CNWZHzoABsgo0AcbJBNAZjbBc+bMoGpRnd7PtkCi1X0hGiNbNsFl98Ln80NG/fyGLLC6z5lk7WcooSJRKxvBzvlZd2wdAGBCxgSaQ9UfTRqbUA3icpWisPCc6tapLHDJz+F1wO6xQxtFs+maI6ldHT0cmckMIPrinl6PB7WHDwAAhlNCFeTz+CGRAAwD1P3YAY2+d/sZrUlJiXyUggkVjVCRVBe43Dc7f3bU+7z9189w5/Kl8QpJWLTpQMepqEonBKRyMc/+aBVa3DflPpjV5qhWmfVqNzMuLd7hiUrwkl+UCVX9j0fgdbmgNZmRWTQ8foGJzOFv6xGoxPF/fzx3HtX0S4djxmUjEhyVONElP5Lynn33U/x91ynYJ38NSCInVG//9TMA7PyLJ3d4oJT9HbdcmwJJVaAW1SBGqLSzQwmVp7kZ3pYWMM5QtXDnkSOQqNlq4fKsLCiys7mJVcBun3R71Nt2NNph63RBJpcif5Q5fkGJ0GATqsD8qeGTplDJhB7GLyjAj983wdIaalp+1UMVkCvZzzitiRomR0ujZ69sOLspoSIp6vuj9ag3KaCTOKCVazEpaxI8vvB9rT7f+SOgYGsISZVqfLr9UGolVBFGqNx1daFdpoXmonWu+RCtVb372FWvuCF4O7OyEln33sNBoMkjMDqVX2oKfsERltQ8uISK5k/1T2dSwZCh6pVQZRYaoFDR+22wgiNUdhv8fl/S9ImkhIpEzaBWwm/VQ3ZiMe5bPg0KqWLAhGrJtDHYd3Zk3O924tJZYxMUKc+iHKGSp4fm+sj0oVVp5uuuhf78ReH3y4pcLTwZ1FpqUW+rxzDDMBToCwbcdsSULMgUUmiNNErQl2HxYmgmTICyOLr2Mz+55S6c3rebEqp+lEzKgjlHh0Ob6iJvTMJS6/UYO/c8qPUG+L0+SJPkjyBKqEjUjFolYFHD21qKFeNWRNx+1dWX4Ol96wEAv56uSI3RKaBHP7+BEyqppv/igIrs7JS4pBdJ1b4qfHryUzw49UHcNOGmAbc1pKsxYcHASVeqUpWUQDN+fFTbWjvaIZPLMXLqDFjb22Bt7122QtenyW2qmfyTQnhcPkqoYiSTK3Dpff/Gdxico4SKRC1Nx87hcTODXy686upLuA5HuHImAhOuBvIrgP1r+I5GtAIrSC1uC8+RpI79X36ObWs/CPv87GuWY86yyH9MEZKKKKEiUXNrW6DM+BF+bybfoQjb6AvZH7cN+Oe/97uJ88ejsHz+WYIDE5doE6pjO5vg8/hRMjkT+jR1IkITFb/Nhu6v/gW/04G0ZcvCbscwDGxdnViw4mbkjCjFR7//NQDg+sefhVzJXkrVpfDoFMC2n6HCntzw+3xwWruhUKmhUCfH7y0lVCRqjYpDUGX/C27JRL5DEb3uDRvQ9sqf+Q5D0IIJlWvghOrA12fQWmuFQi3D2Fl5iQhNVHwWC+r/7d8AhQLma64Ju3Kvve4M9m/4HDKFAnesfjP4ePbwEUnzhRerU3tb8M9XD/IdRlL461OPoebAXlxyz4MYNz/8nFExoVKvJGpnfEcBAN7uUTxHIgJ+34BzqGxbtiQwGHEyqqIboWo9w1ZbLhyX2qMn4cjMZvaGxwO/zR52u0C5hGHjJkCupAKV/Qm0nyGxCxT3dFiTp1o6jVCRqDTbm9HoPgMJJFh70w2Rd0hhnuqj8D4/5+w9tl0FDv8AKNi/8iVqNRz79/MTnIhEPYeKATIKdFSlGv3XMHOdOgWJUgnG7YbrxHFoJ0/ud99guYSJ5YkIVZQ0BgXfISQNTbC4Z/LMkaSEikQlUB19fMZ4TCmhJr4D6fzbP9H6RZ/SBl+EklDDkiWAzwfl8GK4T1cnODrxGMykdBqdYvVXw6zmhpWh59f+td+Eqme7GSqXEB6NUHEn1H6GRqhIitnWMPh2M6nKfP310Ne+AMZuQfVXbGJV/OZrkBjMAID2t98GAGhnzaKEagDFxmL8ouIXyNZGLiFBCRUrXA2zugcehKe6GtqZM/rdr+FoqN1MVtFweN008bo/Ko0cEinA+PmORPzUuuRrP0MJFYnIz/iDI1T/+KwNa99djVfuWRpslkx6U2RnQ1GUDn9TaA6VeuwYSM3s6kjHbvbSim7WLHT+hcoq9GTrcsHeFfgyV+Ny03UAgJYa9kO3vwa0UpkEeaXmBEYpXOFqmClyc+GproaE6X+/ntXRJVKaWhuORCqBWq+Ew0IJZ6ySsUFySiZUtbW1WLlyJZqbmyGXy/Ef//EfWDbAcuJU12BrgNPrhEauwY8tIyHRZOBoTQMlVAPRZgA4HrrfWQOYM+Fta2NbgCgUvdrNENahTXXY8enpsM8HGtD2bP/h9zOwd7lhyuq/UCoJTUwP136mo54tVDmcLvdFpNEpKKHigNrAXtJ3UEIlbnK5HC+88ALKy8vR3NyMiooKXHLJJdDpdHyHJkgF+gJ8u/xbnO46jQu2fgsAaLPYeI5K4ALtZwLevAS4bxvkGSUYvW0rXCdPQqrV8hObgI1fUICSyVnwun34+Dl21dmYm9UYnVUKjVwdbEDbeKIrtBMDNBzvpIRqAOk33gjT5UuhHjOm3+eXPvhrdDU3BUcNSHgjKrLQ/il9/sXKnJ2DsXPPQ3pB8vxhnpIJVV5eHvLy2Ho12dnZSE9PR3t7OyVUA1BIFShNK4Wc2QgvKKGKSNtnTo/XCdRsA9JLIJHLoR49Gn57+CXsqUpnUkFnUsHj8gUf+7dD9+IvV7yPovRQMpA70hS8LVNIkDfKnMgwRUdbEXnkyZSdk4BIxK/iwmLsHGAUlUQns2h40rWfEeTF8k2bNuGyyy5Dfn4+JBIJPvnkk3O2Wb16NUpKSqBWqzF16lRs3rx5SK+1c+dO+P1+FBYWxhh1cmmxt+Bw22Ecaj2Ew22Hgz9ybSOk6jo0dDfzHaKwFc4ARpwfui9XgymcBYYJM4mFDKjvSj9DRqjQ5LKHp9PoVAzoPUkINwQ5QmWz2TB58mTcfPPNuPrqq895fs2aNbj//vuxevVqzJ07F3/+85+xZMkSHD58GEVFRQCAqVOnwuVynbPvF198gfz8fABAW1sbVq1ahddeey2+/yAR+ujoR3h538vnPK6YyFZWOmqfC+DmhMclGhWrgBGXAM/OZ+/f9Bkc1Z2ov+5CGJcsQfaDD/Abn8j0rZa+6/PTwdvGTEqmIvE0NcG+fTukGg0MixcHH2cYBm8+eDfMuXlYfOvdMGRQW6lI/D5KQLni83rhslmh1hsglcn4DidmgkyolixZgiVLloR9/r//+79x66234rbbbgMAvPDCC1i/fj1efvllPPXUUwCAXbt2DfgaLpcLV155JR555BHMmTMn4rY9k7OuLnb+hsWSPAXJ+ro492JMM0/De4ffw4aaDQCAVxa/gl+89Dk6NLlQyl2wWCywe+zwOdjLMxaLBV6FN3gMu9sLv8seek4pyLdb3Pgt3bD6zp4baRrav/wIHdXV8J48AbXFAr/dHnreYoHU6x3ocCnF4/LB4WYvK/scPjS2N8KSFvp9+3FPbfB5i8UChUr8H8bx1L1zJ+ofeBCqceMwfEaodEJ73RnUnz6JprpaLLjlruBnmsfphNPjAXD2/FIZhaCDm87Qe48jr9yxCh6XAyuf+RPMObkJec3AezwuI7OMwAFg1q1bF7zvcrkYmUzGfPzxx722u++++5gFCxZEdUy/389cf/31zGOPPRbV9o899hgDgH7oh37oh37oh36S4OfEiRPRpiFRE92QQWtrK3w+H3Jyek+gzMnJQWNjY1TH2LJlC9asWYNJkyYF52e98847mDix/6a/jzzyCB54IHSJprOzE8XFxaipqYHJZBraPyQK06dPx44dO+K6b6Ttwj0/mMf7PtbzvsViQWFhIWpra2E0GiPGO1RDPZeD2S/e53Kgcyv08ziYfYd6HsM9l2zvycHsS7/f3O1Hv9/c7Mv373dXVxeKioqQns59MWDRJVQBfTumMwwTtot6X/PmzYPfH32pW5VKBZXq3D5hJpMprm9umUw25ONHu2+k7cI9P5jH+z7W3zZGo1GQ53Iw+8X7XEZzboV6Hgez71DPY7jnku09OZh96febu/3o95ubfYXy+y2NQwFbQa7yG0hmZiZkMtk5o1HNzc3njFqJXWVlZdz3jbRduOcH83jfx2L5dw3VUF9zMPvF+1xGc27jTcjvyXDPJdt7cjD70u83d/vR7zc3+ybz77eEYYS9ZlYikWDdunW44oorgo/NnDkTU6dOxerVq4OPlZWV4fLLLw9OSo8ni8UCk8mErq6uuP61kAroXHKDziN36Fxyh84lN+g8ciee51KQl/ysViuOHw+17Th16hT27t2L9PR0FBUV4YEHHsDKlSsxbdo0zJ49G6+++ipqampw5513JiQ+lUqFxx57rN/LgGRw6Fxyg84jd+hccofOJTfoPHInnudSkCNUX3/9NRYtOrdj+o033og333wTAFvY89lnn0VDQwMmTJiAP/zhD1iwYEGCIyWEEEIIEWhCRQghhBAiJqKblE4IIYQQIjSUUBFCCCGExIgSKkIIIYSQGFFCRQghhBASI0qoOPaPf/wDY8aMQWlpKV577TW+wxG1K6+8Emlpabjmmmv4DkXUamtrsXDhQpSVlWHSpEn46KOP+A5JlLq7uzF9+nSUl5dj4sSJ+J//+R++QxI9u92O4uJiPPTQQ3yHImpyuRzl5eUoLy/Hbbfdxnc4onXq1CksWrQIZWVlmDhxImw226D2p1V+HPJ6vSgrK8PGjRthNBpRUVGB77//Pi49g1LBxo0bYbVa8dZbb2Ht2rV8hyNaDQ0NaGpqQnl5OZqbm1FRUYEff/wROp2O79BExefzweVyQavVwm63Y8KECdixYwcyMjL4Dk20Hn30URw7dgxFRUV47rnn+A5HtDIzM9Ha2sp3GKJ33nnn4YknnsD8+fPR3t4Oo9EIuTz6cp00QsWh7du3Y/z48SgoKIDBYMAll1yC9evX8x2WaC1atAgGg4HvMEQvLy8P5eXlAIDs7Gykp6ejvb2d36BESCaTQavVAgCcTid8Ph/o79GhO3bsGH744QdccsklfIdCCA4dOgSFQoH58+cDANLT0weVTAGUUPWyadMmXHbZZcjPz4dEIsEnn3xyzjarV69GSUkJ1Go1pk6dis2bNwefq6+vR0FBQfD+sGHDUFdXl4jQBSfWc0lCuDyXO3fuhN/vR2FhYZyjFh4uzmNnZycmT56MYcOG4Ve/+hUyMzMTFL2wcHEuH3rooYS0ChM6Ls6lxWLB1KlTMW/ePHzzzTcJilxYYj2Px44dg16vx9KlS1FRUYEnn3xy0DFQQtWDzWbD5MmT8dJLL/X7/Jo1a3D//ffj0UcfxZ49ezB//nwsWbIENTU1ANDvX6sSiSSuMQtVrOeShHB1Ltva2rBq1Sq8+uqriQhbcLg4j2azGfv27cOpU6fw/vvvo6mpKVHhC0qs5/Jvf/sbRo8ejdGjRycybEHi4n15+vRp7Nq1C6+88gpWrVoFi8WSqPAFI9bz6PF4sHnzZlRVVWHbtm3YsGEDNmzYMLggGNIvAMy6det6PTZjxgzmzjvv7PXY2LFjmYcffphhGIbZsmULc8UVVwSfu++++5j33nsv7rEK3VDOZcDGjRuZq6++Ot4hisZQz6XT6WTmz5/PvP3224kIU/BieU8G3HnnncyHH34YrxBFYyjn8uGHH2aGDRvGFBcXMxkZGYzRaGQef/zxRIUsWFy8Ly+++GJmx44d8QpRFIZyHrdu3cpcdNFFweeeffZZ5tlnnx3U69IIVZTcbjd27dqFCy+8sNfjF154IbZu3QoAmDFjBg4ePIi6ujp0d3fjs88+w0UXXcRHuIIWzbkk0YnmXDIMg5tuugnnn38+Vq5cyUeYghfNeWxqagr+5W+xWLBp0yaMGTMm4bEKXTTn8qmnnkJtbS1Onz6N5557Drfffjt+85vf8BGuoEVzLjs6OuByuQAAZ86cweHDhzFixIiExypk0ZzH6dOno6mpCR0dHfD7/di0aRPGjRs3qNcZ3IyrFNba2gqfz4ecnJxej+fk5KCxsREAu3T1+eefx6JFi+D3+/GrX/2KVgD1I5pzCQAXXXQRdu/eDZvNhmHDhmHdunWYPn16osMVtGjO5ZYtW7BmzRpMmjQpOK/gnXfewcSJExMdrmBFcx7PnDmDW2+9FQzDgGEY3HPPPZg0aRIf4QpatL/fJLJozuWRI0dwxx13QCqVQiKR4MUXX6SV5X1E+/395JNPYsGCBWAYBhdeeCF++tOfDup1KKEapL5zohiG6fXY0qVLsXTp0kSHJUqRziWtkIzeQOdy3rx58Pv9fIQlOgOdx6lTp2Lv3r08RCVOkX6/A2666aYERSReA53LOXPm4MCBA3yEJTqR3pNLlizBkiVLhnx8uuQXpczMTMhksnP+wmpubj4n6yUDo3PJHTqX3KDzyB06l9yhc8mNRJ1HSqiipFQqMXXq1HNm/W/YsAFz5szhKSpxonPJHTqX3KDzyB06l9yhc8mNRJ1HuuTXg9VqxfHjx4P3T506hb179yI9PR1FRUV44IEHsHLlSkybNg2zZ8/Gq6++ipqaGtx55508Ri1MdC65Q+eSG3QeuUPnkjt0LrkhiPM4qDWBSW7jxo0MgHN+brzxxuA2VVVVTHFxMaNUKpmKigrmm2++4S9gAaNzyR06l9yg88gdOpfcoXPJDSGcR+rlRwghhBASI5pDRQghhBASI0qoCCGEEEJiRAkVIYQQQkiMKKEihBBCCIkRJVSEEEIIITGihIoQQgghJEaUUBFCCCGExIgSKkIIIYSQGFFCRQghhBASI0qoCCGEEEJiRAkVIYQQQkiMKKEihKS0hQsX4t5778X999+PtLQ05OTk4NVXX4XNZsPNN98Mg8GAkSNH4vPPP+c7VEKIgFFCRQhJeW+99RYyMzOxfft23HvvvbjrrruwbNkyzJkzB7t378ZFF12ElStXwm638x0qIUSgJAzDMHwHQQghfFm4cCF8Ph82b94MAPD5fDCZTLjqqqvw9ttvAwAaGxuRl5eHbdu2YdasWXyGSwgRKBqhIoSkvEmTJgVvy2QyZGRkYOLEicHHcnJyAADNzc0Jj40QIg6UUBFCUp5Coeh1XyKR9HpMIpEAAPx+f0LjIoSIByVUhBBCCCExooSKEEIIISRGlFARQgghhMSIVvkRQgghhMSIRqgIIYQQQmJECRUhhBBCSIwooSKEEEIIiRElVIQQQgghMaKEihBCCCEkRpRQEUIIIYTEiBIqQgghhJAYUUJFCCGEEBIjSqgIIYQQQmJECRUhhBBCSIwooSKEEEIIiRElVIQQQgghMfr/8SAroEXawCkAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim = read(type='constant')\n", "plot(sim,type='constant')" ] }, { "cell_type": "markdown", "id": "96a1d76e-0e16-4196-b1c8-ec129bab7ce8", "metadata": {}, "source": [ "## Linear kernel\n", "\n", "$$\n", "K(m,m') = 0.5(m_1 + m_2)\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "28323b13-f9fd-47c6-a56e-16bfd701cbc0", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim = read(type='linear',repeat=10)\n", "plot(sim,type='linear')" ] }, { "cell_type": "markdown", "id": "4f9ba000-e0aa-432c-b4de-56397e3892d8", "metadata": {}, "source": [ "## Product Kernel\n", "\n", "$$\n", "K(m,m') = m_1 m_2\n", "$$" ] }, { "cell_type": "code", "execution_count": 55, "id": "80d600bb-a9be-4474-821e-a79d2b6cce93", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim = read(type='product',repeat=10)\n", "plot(sim,type='product')" ] }, { "cell_type": "markdown", "id": "45dde499-a0c5-475e-b4bd-66d66d9585ad", "metadata": {}, "source": [ "## Fragmentation test\n", "\n", "We test the fragmentation distribution with the test described in [Lombart et al. 2024](https://ui.adsabs.harvard.edu/abs/2024MNRAS.533.4410L/abstract).\n", "\n", "The number density per mass bin after fragmentation is taken to be, $n(m;m_1) = \\gamma^2(m_1)e^{-\\gamma m}$ where $m_1$ is the sum of the masses of the colliding particles and $\\gamma = 1e3$. This is the form that has an analytical solution given by,\n", "\n", "$$\n", "N(m,t) = \\frac{N(m,0) + \\gamma(e^{\\gamma t} -1)e^{-\\gamma m}}{1 + \\frac{\\gamma(e^{\\gamma t} -1)}{\\gamma}}\n", "$$\n", "\n", "where $N(m,0) = me^{-m}$\n", "\n", "To run this use the command\n", "\n", "`make kerneltest SETUP_FILE=fragtest`\n", "\n", "`./test2 setups/fragtest/setup.par`" ] }, { "cell_type": "code", "execution_count": 86, "id": "08afc1a4-44c1-4237-822a-2ab70f39680e", "metadata": {}, "outputs": [], "source": [ "sim = read(type='frag',repeat=1)" ] }, { "cell_type": "code", "execution_count": 82, "id": "bcd9429f-42eb-4822-ae90-69de3307c763", "metadata": {}, "outputs": [], "source": [ "def plot_frag_dist(sim, time):\n", " \"\"\"Function to plot the distribution of fragments\n", "\n", " Args:\n", " sim(dict): simulation data\n", " time: dimensionless time \n", " Returns:\n", " N*m**2: mass density for the given mass grid and time\n", " \"\"\" \n", " it = np.array(sim['tarr']).searchsorted(time)\n", " f,ax = plt.subplots()\n", " ax.scatter(sim[\"mgrid_cents\"][start:], \n", " np.mean(sim[\"m2fm\"][start:, it,:], axis=1),\n", " marker='o', c='k',s=3,label='mcdust')\n", " ax.plot(sim[\"mgrid_cents\"][start:],analytical_fragmentation_sol(sim['tarr'][it], sim[\"mgrid_cents\"][start:],gamma=1e3),\n", " c='b', ls='--',label='analytical')\n", " ax.set_xlim(1.e-6,1e3)\n", " ax.set_ylim(1e-22,1e4)\n", " ax.set_xscale('log')\n", " ax.set_yscale('log')\n", " ax.set_xlabel('m')\n", " ax.set_ylabel('$m^2$f(m)')\n", " ax.set_title('t = {:e}'.format(sim['tarr'][it]))\n", " ax.legend()" ] }, { "cell_type": "markdown", "id": "75cf3cda-9787-4079-b240-6e6014769270", "metadata": {}, "source": [ "Now we follow the evolution of the distribution. Shown blow are the plots at t = 0, $t = 1.6 \\times 10^{-3}$ and $t = 3 \\times 10^{-3}$. This simulation was run with 50000 particles as an example. " ] }, { "cell_type": "code", "execution_count": 90, "id": "15ac18ce-0b8a-4c30-86dc-c655c02098aa", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "time = 0\n", "plot_frag_dist(sim,0)" ] }, { "cell_type": "code", "execution_count": 91, "id": "11542ae4-678b-4b6d-a2dc-f759237b92e2", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "time = 1.66e-3\n", "plot_frag_dist(sim,time)" ] }, { "cell_type": "code", "execution_count": 92, "id": "aebd1d6c-e741-4e56-90c1-2fae21cfe6e2", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "time = 3.e-3\n", "plot_frag_dist(sim,time)" ] } ], "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": "3.11.7" } }, "nbformat": 4, "nbformat_minor": 5 }