{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The anisotropy of scattering and Legendre polynomials" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "name='Pim Nelissen'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction (and discussion on FAIR principles)\n", "\n", "When considering neutron moderation, a typical assumption is the isotropy of scattering in the Center-of-Mass frame. However, there are nuclides for which such an assumption is not accurate. This notebook explores what it means for scattering to be anisotropic, when it occurs, and to map its behaviour.\n", "\n", "An attempt has been made to adhere to FAIR principles.\n", "\n", "**F (Findable)**: The repository has a `README` and metadata (description, title) on the repository.\n", "\n", "**A (Accessible)**: The code is published in a publically available repository.\n", "\n", "**I (Interoperable)**: Data is a standard for this field and are taken from the IAEA Nuclear Data Services. It is explained how to find the data, and the code which processes the data is included in the notebook.\n", "\n", "**R (Reusable)**: The data files used are shared in the `data` folder." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part 1\n", "\n", "While discussing slowing down through elastic scattering our main assumption is typically that scattering is isotropic in the Center-of-Mass (CM) frame. Some textbooks, such as [Nuclear Reactor Analysis from Duderstadt and Hamilton](https://deepblue.lib.umich.edu/bitstream/handle/2027.42/89079/1976_Nuclear_Reactor_Analysis.pdf) (see page 318) will go one step further and mention (often between lines) that the average scattering cosine in CM can be given as \n", "\n", "$$\\bar\\mu_c=0.07 A^{2/3} E[MeV]$$\n", "\n", "Based on this one expression however it is difficult to imagine how the distribution of $\\mu_c$ looks like in case of anisotropy. It is still worth visualizing in which regions this average cosine is less then some threshold (0.1 in this example) to illustrate the energy and nuclide mass range when isotropy is a fairly acceptable assumption. Note however, that assigning a threshold for isotropic behaviour is somewhat arbitrary." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "As=np.linspace(1,250,250)\n", "Es=np.logspace(np.log10(0.025e-6),np.log10(20),1000)\n", "\n", "eps=0.1\n", "\n", "Avalid=[]\n", "Evalid=[]\n", "\n", "Anotvalid=[]\n", "Enotvalid=[]\n", "\n", "for A in As:\n", " for E in Es:\n", " muc=0.07*A**(2/3)*E\n", " if abs(muc)<=eps:\n", " Avalid.append(A)\n", " Evalid.append(E)\n", " else:\n", " Anotvalid.append(A)\n", " Enotvalid.append(E)\n", " \n", "plt.figure()\n", "plt.semilogy(Avalid,Evalid,color='gray',marker='x')\n", "plt.semilogy(Anotvalid,Enotvalid,color='lightgray',marker='x')\n", "plt.axhline(0.1)\n", "plt.xlabel('A',fontsize=12)\n", "plt.ylabel('E (MeV)',fontsize=12)\n", "plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the figure, the gray region illustrates the energy-mass number pairs, for which the average cosine is below 0.1, and the light gray regions illustrates the energy-mass number pairs for which the average cosine is above 0.1. It is clear that for heavy nuclei assuming isotropic scattering is above 0.1 MeV neutron energies is not valid.\n", "\n", "Also, we have to mention again that from this exercise we have not gained any knowledge about the distribution of the cosine. \n", "\n", "Therefore the goal of this notebook is to review how such distrubition can be be obtained from the raw data files, and how it can be reconstructed. Since the reconstuction of the angular distribution requires the use of the Legendre polynomials, this will allow us to gain further insights into reactor physics methods, which often make use of Legendre polynomials.\n", "\n", "We have to note that in this notebook we work with CM data, and when we describe scattering as isotropic or anisotropic, we mean the CM frame. In an [earlier notebook](https://github.com/ezsolti/RFP/blob/master/Datalabs/Datalab04/4-Scattering_MCintro.ipynb) it has already been illustrated that in the laboratory frame (LAB) scattering may be anisotropic even if it is isotropic in the CM frame, espescially for light nuclei such as hydrogen." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Representing angular distributions\n", "\n", "The angular distribution data is stored in file MF=4 of ENDF evaluations. A detailed, and very straightforward description of the format can be found at the [Nuclear information service of LANL T2](https://t2.lanl.gov/nis/endf/intro20.html) (also hit \"NEXT\" since the next page is also important). Here our intention is to demonstrate how one can reconstruct angular distributions from scratch without relying on nuclear data processing codes.\n", "\n", "Angular distributions are given either in tabulated formats, or by Legendre coefficients. In this notebook we are going to look at examples where the distribution is given by coefficients in the center-of-mass frame. In this case the angular distribution can be reconstucted as\n", "\n", "$$f(\\mu_c,E)=\\sum_{l=0}^{NL}\\frac{2l+1}{2}\\omega_l^c(E)P_l(\\mu_c), \\: \\text{with} \\: \\omega_0^c\\equiv 1$$\n", "\n", "where $P_l(\\mu_c)$ are the order $l$ [Legendre-polynomials](https://en.wikipedia.org/wiki/Legendre_polynomials), and $\\omega_l^c(E)$ are the energy dependent coefficients in the CM. In some textbooks you will find that the definition is slightly different, and the $2l+1$ multiplier is also incorporated in the coefficient. \n", "\n", "If the angular distribution is known, the coefficients can be obtained from\n", "\n", "$$\\omega_l^c(E)=\\int_{-1}^{1}f(\\mu_c,E)P_l(\\mu_c)d\\mu_c \\quad (l=0,1,2,...)$$\n", "\n", "In reactor physics we love Legendre-polynomials because they can be used to expand a function within the domain $[-1\\leq \\mu \\leq 1]$, and the scattering cosine happens to take values within this domain, therefore angular distributions can be expanded with Legendre polynomials. It has to be mentioned, that in the majority of this notebook we are going to work with angular distributions in CM, however similar Legendre-expansion can be applied for angular distributions in the LAB. Note that throughout this notebook we will refer to CM scattering with sub or superscript \"$^c$\" and to LAB scattering with sub or superscript \"$^0$\", superscript for Legendre-coefficients and subscript for angle cosines.\n", "\n", "One can use the `eval_legendre` function from the `scipy` package to evaluate the Legendre polynomials. Let us visualize the them." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.special import eval_legendre\n", "\n", "style=['k-','k--','k-.','k:','lightgray']\n", "\n", "mu=np.linspace(-1,1,1000)\n", "plt.figure()\n", "for l in range(5):\n", " plt.plot(mu,eval_legendre(l,mu),style[l],label=r'$l={}$'.format(l))\n", "plt.xlabel('$\\\\mu$')\n", "plt.ylabel('$P_l(\\\\mu)$')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Legendre coefficients\n", "\n", "We are not going to directly parse the ENDF-formatted files since that is a little bit of a headache. Instead one can access from the [IAEA NDS](https://www-nds.iaea.org/) an interpreted format. If one visits NDS, after selecting the target and MF=4 (DA), clicking on \"Interpreted\" will provide a table (given for the Center-of-Mass system) as below. This example is for H-2 from ENDF-B/VIII.0. Notice that we have truncated the table below, but you can find the same values in the file `data/H2-legendre.dat`. The first column gives the energies and the following columns give the coefficients for $l=1,2,...$ (note that $\\omega_0^c=1$, hence not given in the tables).\n", "\n", "```\n", " LTT=3. Part-1:\n", " Legendre polynomial coefficients given\n", "\n", " Interpolation table:\n", "\n", " 341 2 \n", "\n", " Angular distribution:\n", "\n", " eV Coefficients\n", " ---------- --------------------------------------------------\n", " 1.000000-5 0.000000+0 \n", " 1.000000+2 -9.318808-5 4.139603-9 0.000000+0 \n", " 2.000000+2 -1.863621-4 1.626384-8 0.000000+0 \n", " 3.000000+2 -2.795222-4 3.637436-8 0.000000+0 \n", " 4.000000+2 -3.726684-4 6.447279-8 0.000000+0 \n", " 5.000000+2 -4.658003-4 1.008565-7 0.000000+0 \n", " 6.000000+2 -5.589182-4 1.452314-7 0.000000+0 \n", " 7.000000+2 -6.520216-4 1.975991-7 0.000000+0 \n", " 8.000000+2 -7.451109-4 2.582570-7 0.000000+0 \n", " 9.000000+2 -8.381860-4 3.266150-7 0.000000+0 \n", " 1.000000+3 -9.312468-4 4.032664-7 0.000000+0 \n", " 1.900000+3 -1.768135-3 1.455050-6-5.92085-10 0.000000+0 \n", " 2.800000+3 -2.603811-3 3.157936-6-2.073497-9 0.000000+0 \n", " 3.700000+3 -3.438233-3 5.510596-6-4.742082-9 0.000000+0 \n", " 4.600000+3 -4.271359-3 8.511335-6-9.192788-9 0.000000+0 \n", " 5.500000+3 -5.103148-3 1.215869-5-1.572500-8 0.000000+0 \n", " 6.400000+3 -5.933558-3 1.645141-5-2.493537-8 0.000000+0 \n", " 7.300000+3 -6.762548-3 2.138730-5-3.682754-8 0.000000+0 \n", " 8.200000+3 -7.590076-3 2.696498-5-5.229629-8 0.000000+0 \n", " 9.100000+3 -8.416101-3 3.318241-5-7.134595-8 0.000000+0 \n", " 1.000000+4 -9.240581-3 4.003777-5-9.457530-8 2.97407-10 0.000000+0 \n", " 1.400000+4 -1.289158-2 7.821230-5-2.581372-7 5.96160-10 0.000000+0 \n", " 1.800000+4 -1.651634-2 1.288544-4-5.461083-7 1.493732-9 0.000000+0 \n", " 2.200000+4 -2.011459-2 1.918304-4-9.928290-7 3.592867-9 0.000000+0 \n", " 2.600000+4 -2.368609-2 2.670057-4-1.631714-6 6.901327-9 0.000000+0 \n", " 3.000000+4 -2.723058-2 3.542440-4-2.495530-6 1.202810-8 0.000000+0 \n", " 3.400000+4 -3.074781-2 4.534068-4-3.616379-6 1.988843-8 0.000000+0 \n", " 3.800000+4 -3.423753-2 5.643532-4-5.025983-6 3.080091-8 0.000000+0 \n", " 4.200000+4 -3.769951-2 6.869416-4-6.754758-6 4.569137-8-3.02592-10 0.000000+0\n", " 4.600000+4 -4.113350-2 8.210280-4-8.833612-6 6.579576-8-3.03206-10 0.000000+0\n", " 5.000000+4 -4.453926-2 9.664667-4-1.129120-5 9.144767-8-6.07626-10 0.000000+0\n", " 5.500000+4 -4.875714-2 1.164022-3-1.494040-5 1.330946-7-9.13693-10 0.000000+0\n", " 6.000000+4 -5.293043-2 1.378806-3-1.928148-5 1.877621-7-1.526521-9 0.000000+0\n", " 6.500000+4 -5.705871-2 1.610525-3-2.436750-5 2.573730-7-2.142225-9 0.000000+0\n", " 7.000000+4 -6.114162-2 1.858884-3-3.024966-5 3.447849-7-3.067482-9 0.000000+0\n", " 7.500000+4 -6.517878-2 2.123585-3-3.697724-5 4.519543-7-4.304327-9 0.000000+0\n", " 8.000000+4 -6.916984-2 2.404324-3-4.459820-5 5.823908-7-5.854723-9 0.000000+0\n", " 8.500000+4 -7.311443-2 2.700798-3-5.315785-5 7.383936-7-7.720552-9 0.000000+0\n", " 9.000000+4 -7.701222-2 3.012697-3-6.270074-5 9.235124-7-1.021311-8 0.000000+0\n", " 9.500000+4 -8.086288-2 3.339711-3-7.326867-5 1.141009-6-1.333607-8 0.000000+0\n", " 1.000000+5 -8.466609-2 3.681526-3-8.490257-5 1.393542-6-1.709295-8 0.000000+0\n", " 1.100000+5 -9.214095-2 4.408860-3-1.115347-4 2.019348-6-2.746138-8 0.000000+0\n", " 1.200000+5 -9.942885-2 5.191999-3-1.428831-4 2.830047-6-4.198232-8 3.13301-10\n", " 0.000000+0 \n", " 1.300000+5 -1.065286-1 6.028481-3-1.792126-4 3.856073-6-6.227081-8 3.14499-10\n", " 0.000000+0 \n", " 1.400000+5 -1.134392-1 6.915825-3-2.207587-4 5.130018-6-8.964590-8 3.15655-10\n", " 0.000000+0 \n", "```\n", "\n", "This format is still not the most straightforward to parse, therefore we have witten some helper functions to do that. Execute the following code block." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def floatify(x):\n", " \"\"\"\n", " Helper function to convert strings containing an \"ENDF-number\" into float.\n", " eg. 3.302550-2 to be converted as 0.0330255\n", " -2.207587-4 to be concerted as -0.0002207587\n", " \n", " Parameter\n", " ---------\n", " x : str\n", " Number to be converted as a string. Eg. '3.302550-2'\n", " \"\"\"\n", " if x[0]=='-':\n", " i=max(x[1:].find('-'), x[1:].find('+'))+1\n", " else:\n", " i=max(x.find('-'), x.find('+'))\n", " return float(x[:i]+'e'+x[i:])\n", "\n", "def breakLine(line):\n", " \"\"\"\n", " Helper function to break the lines containing the coefficients in the interpreted table.\n", " \n", " Parameter\n", " ---------\n", " line : str\n", " String containing the coefficients\n", " \n", " Example\n", " -------\n", " >>> breakLine('-9.214095-2 4.408860-3-1.115347-4 2.019348-6-2.746138-8 0.000000+0')\n", " ['-9.214095-2',\n", " ' 4.408860-3',\n", " '-1.115347-4',\n", " ' 2.019348-6',\n", " '-2.746138-8',\n", " ' 0.000000+0']\n", " \"\"\"\n", " values=[]\n", " segment=line[0:11]\n", " i=1\n", " while len(segment)>2:\n", " if segment[2]!=' ':\n", " values.append(segment)\n", " segment=line[i*11:i*11+11]\n", " i+=1\n", " return values\n", "\n", "def coefficientReader(filename):\n", " \"\"\"\n", " Function to read the coefficients from a file. The file is expacted to have the same \n", " format as the interpreted tables from IAEA-NDS, without the header information.\n", " \n", " Parameters\n", " ----------\n", " filename : str\n", " The name of the file storing the interpreted table\n", " \"\"\"\n", " import textwrap\n", " E=[]\n", " coeffs=[]\n", " file=open(filename,'r').readlines()\n", " coeff=[]\n", " for line in file:\n", " x=line.strip().split()\n", " xc=breakLine(line[12:])\n", " if line[1].isdigit():\n", " if len(E)!= 0:\n", " coeffs.append(coeff)\n", " coeff=[]\n", " E.append(floatify(x[0]))\n", " for ci in xc: coeff.append(floatify(ci))\n", " else: \n", " for ci in xc: coeff.append(floatify(ci))\n", " if len(coeff) != 0: coeffs.append(coeff)\n", " maxN=max([len(c) for c in coeffs])\n", " coeffsN=np.zeros((len(E),maxN))\n", " for i,c in enumerate(coeffs):\n", " for j,cj in enumerate(c):\n", " coeffsN[i,j]=cj\n", " return np.array(E),coeffsN" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So let us read the data for Deuterium. The function `coefficientReader` returns an array containing the energies for which the coefficient is given, and a matrix containing the coefficients (the matrix has as many rows as the length of the energy array, and as many columns as the distribution given with the highest Legendre orders).\n", "\n", "Let's try to visualize the coefficients." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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Cx8cHp0+fxtmzZ/HkyZMMfWxtbdGsWTPpVrduXejq6mqg2pKHYYpkXr16hbCwMLi4uKhtm7GxsRgwYAA2bNiAefPmqW27RETF1atXr+Dj4yMFqKdPn8qeVygUqF27tiw8OTg4QKFQaKjiko1hqgDFxcUBAIyMjKQf+OTkZKSkpEBHRwf6+voZ+hoaGkqnoKakpCA5ORna2towMDD4aN/c/EXi7+8Pc3NzVKpUSda+YMECLFiw4IOvvXfvXqZnfYwfPx5dunSBu7s7wxQRUSaCgoKk8OTj44PHjx/LntfW1kbDhg3RunVrtGrVCk2aNIGFhYVmiqUMGKYKkImJCYD3i6KlrQ67ZMkSfP/99xg5ciQ2bNgg9bW2tkZ8fDyePXsGBwcHAICXlxcmTZqE/v37Y+vWrVJfBwcHhIWF4c6dO3BycgIAbN68GaNGjcpxjf7+/pmOSo0ZMwa9e/f+4Gvt7OwytO3YsQN+fn64evVqjmshIiquwsPD8e+//+LEiRM4ffo0Hj16JHteS0sLDRo0QJs2bdC6dWs0a9YMZmZmGqqWPoZhimSyClOWlpY5Pl02MDAQX3/9NU6cOCEbSSMiKmmSkpJw8eJFnDhxAidOnMD169chhJCe19LSQv369dG6dWu0bt0aLVq0YHgqQhQi/XeTsi06Ohrm5uaIiorK8AOfmJiIZ8+eoVKlSpkejivMh/mqVq2Kb7/9FsOHD5e15+Yw3/79+9GzZ0/ZxS2VSiUUCgW0tLSQlJSU5YUvs/oaEhEVBUII3L59GydPnsSJEydw9uzZDNe0c3Jygru7Oz755BO0aNGCh+0KyIc+v3OLI1MFyNjYOEObnp5eptc0yqyvrq5upgEpq745FRMTg6dPn6Ju3boZnsvNYb5PPvkEt2/flrUNGzYMNWrUwDfffFOsryBORCVPcHAwjh07hhMnTuDkyZMICQmRPW9jYwN3d3e0a9cO7u7umU6NoKKp2IQpLy8vLFmyBMHBwXBxccGqVavg6uqaad+9e/diwYIFePz4MVJSUlCtWjVMnjwZgwYNKuCqC5ebN29CW1tbmneVXm4O85mamqJ27dqyNmNjY1hZWWVoJyIqalJSUnDp0iUcPXoUR48ehb+/v+x5Q0NDtGrVCu3atUO7du1Qu3Ztnm1XTBWLMLVz5054enpi7dq1cHNzw/Lly9GhQwcEBARkukCZpaUlvvvuO9SoUQN6eno4dOgQhg0bBmtra3To0EEDe1A4+Pv7o0aNGrLDjURE9D+vXr2Ct7c3vL29ceLECURHR8ueb9CgATp06AB3d3c0bdqUv09LiGIxZ8rNzQ2NGjXC6tWrAby/JpG9vT0mTJiA6dOnZ2sb9evXR5cuXfDjjz9mq39u5kxR9vFrSESFQXJyMi5cuCCNPt25c0f2vJWVFTp06IBOnTqhffv2XGG8COCcqUwkJyfj+vXrmDFjhtSmpaUFd3d3+Pr6fvT1Qgj8+++/CAgIwOLFi7Psl5SUhKSkJOnxf/8aISKiok8IgYcPH+LEiRM4fvw4Tp8+jdjYWOl5hUIBNzc3dOzYEZ06dUKDBg04/5OKfpgKCwuDUqlE2bJlZe1ly5bN9ArZaaKiolCuXDnpjLJff/0V7dq1y7L/woULMWfOHLXVTUREhcPbt29x6tQpadmCwMBA2fPW1tZSeGrXrh2srKw0VCkVVkU+TOWWqakp/P39ERsbi1OnTsHT0xOVK1dG69atM+0/Y8YMeHp6So+jo6Nhb29fQNUSEZG6JCYm4sKFC9Lo040bN2TP6+npoXnz5mjXrh3at2+PunXrSsvOEGWmyIep0qVLQ1tbO8MpqCEhIbCxscnydVpaWqhatSoAoG7durh//z4WLlyYZZjS19fnREIioiJICIFbt25JI09nz55FYmKirE+dOnWks+5atGgBIyMjDVVLRVGRD1N6enpo0KABTp06hR49egB4PwH91KlT8PDwyPZ2VCqVbE6UOhSDuf0aw68dEeVFUFAQTp48iePHj+PkyZMIDQ2VPW9nZyeFJ3d39wxTRYhyosiHKQDw9PTEkCFD0LBhQ7i6umL58uWIi4vDsGHDAACDBw9GuXLlsHDhQgDv5z81bNgQVapUQVJSEo4cOYI///wTa9asUUs9aQtmxsfHw9DQUC3bLGnSVgrOzeKjRFTyJCcn4/z58zhy5AiOHj2Ke/fuyZ43NjaWrflUq1YtrvlEalMswlSfPn3w9u1bzJw5E8HBwahbty68vb2lvzRevnwpO94dFxeHcePG4dWrVzA0NESNGjXw119/oU+fPmqpR1tbGxYWFtJfQukvH0MfJoRAfHw8QkNDYWFhwbNkiChLr1+/xtGjR3HkyBGcOHECMTEx0nMKhQKNGjWSwlOTJk0yvdoEkToUi3WmNOFj61QIIRAcHIzIyMiCL64YsLCwgI2NDUMoEUmUSiUuX76MI0eO4MiRIxkmjpctWxadOnVCp06d4O7unuOrNlDJwHWmihCFQgFbW1tYW1sjJSVF0+UUKbq6uhyRIiIAQHh4uDT65O3tjfDwcOk5hUIBV1dXdO7cGZ07d0b9+vV51h1pBMNUPtPW1mYwICLKgcDAQOzfvx/79u3D2bNnoVQqpecsLCzQsWNHdO7cGR06dOCK41QoMEwREZHGPXjwAPv27cO+fftw9epV2XPOzs7o2rUrOnfujMaNG0NHhx9dVLjwJ5KIiAqcEALXrl2TAlT6K1YoFAo0a9YMPXv2RI8ePVC5cmUNVkr0cQxTRERUIJRKJc6ePYu9e/di//79ePXqlfScrq4u3N3d0bNnT3z66adc94mKFIYpIiLKN0qlEufPn8fff/+N3bt3yxbPNDExQefOndGzZ0907txZbWdWERU0hikiIlIrlUoFX19f7Ny5E7t378abN2+k56ysrNC9e3f07NkT7u7uMDAw0GClROrBMEVERHkmhMDly5exc+dO7Nq1C0FBQdJzFhYW+Oyzz9C7d2+0bduWVzagYodhioiIckUIgevXr2Pnzp34+++/8fLlS+k5MzMz9OjRA71790a7du24+jgVawxTRESUIwEBAdi2bRu2bt2KJ0+eSO0mJib49NNP0adPH7Rv356H8KjEYJgiIqKPevPmDXbs2IGtW7fi+vXrUruRkRG6du2KPn36oFOnTry4O5VIDFNERJSp6Oho7N27F1u3bsW///4LlUoF4P2VHdq3b48BAwage/fuMDEx0XClRJrFMEVERJLk5GQcPXoUW7duxT///IPExETpuSZNmmDAgAH44osveBkXonQYpoiISrjExEScOnUK+/fvx549exARESE9V6NGDQwYMAD9+/fnSuREWWCYIiIqgcLDw3H48GEcOHAA3t7eiIuLk56ztbVFv379MGDAANSrVw8KhUKDlRIVfgxTREQlxNu3b7Fnzx78/fffOHv2LJRKpfRcuXLl0L17d/Tq1QutWrWCtra2BislKloYpoiIirHw8HDs3bsXO3fuxOnTp2UBytnZGd27d0f37t3RoEEDjkAR5RLDFBFRMRMVFYX9+/dj586dOHHiBFJTU6XnGjRogD59+uCzzz5DlSpVNFglUfHBMEVEVAzExMTgn3/+wc6dO+Ht7Y3k5GTpuTp16qBPnz7o3bs3qlatqsEqiYonhikioiIqOTkZhw4dwtatW3HkyBHZMgY1a9ZEnz590KdPH9SoUUODVRIVfwxTRERFSNr18LZs2YLt27fj3bt30nPVqlWTApSTkxPnQBEVEIYpIqIi4M2bN/jrr7+wZcsW3L17V2q3tbXFwIED0a9fP9StW5cBikgDGKaIiAqpxMREHDhwAFu2bMGxY8eky7no6+ujZ8+eGDJkCNzd3aGjw1/lRJrE/4FERIWIEAKXLl3Cli1bsHPnTkRGRkrPNW3aFEOGDEHv3r1hYWGhsRqJSI5hioioEAgLC8OWLVuwYcMGBAQESO329vYYPHgwBg8eDEdHRw1WSFR0CSGgUqnybTFahikiIg0RQsDHxwfr16/H3r17peUMjIyM0KtXLwwZMgRt2rSBlpaWhisl0hyVSoXY2FhERUUhOjoaUVFR0q1SpUpwc3MD8H6B2kmTJsmeT/+aYcOGYd26dflSI8MUEVEBCw0NlUahHj16JLU3aNAAo0ePRt++fWFmZqbBConUIyUlBdHR0dDR0YG5uTmA94vKHjx4MEPYSbt169YNY8eOBQC8ePEClSpVghAi0+1/+eWXUpgCgD/++CPLWqKiotS4Z3IMU0REBUClUuH06dNYv3499u3bh5SUFACAqakpBgwYgFGjRqF+/foarpLof5KTk/Hy5UvExMQgOjpa+jftvqurK1q1agUAeP78OUaNGpUhICUkJAAAvvnmGyxatAgA8O7dOwwePDjL961QoYJ039TUVApSaYEs/a1atWpSX3Nzc/z0008wMzOTnk9/v1SpUmr/GqVhmCIiykfBwcHYvHkzNmzYgKdPn0rtrq6uGD16NPr06QMTExMNVkjFRUpKCmJiYjKEn6pVq0or37948QIrV66UPZ8+JE2aNAlfffUVAODu3bsfDPjTp0+XwpRKpcLJkyez7BsfHy/dt7S0RLt27TINPGZmZqhdu7bU18LCAm/evIG5uTkMDAw+uPSHtrY2pk6dmr0vlpoxTBERqZkQAufOnYOXlxf27t0rXRvPzMwMAwcOxKhRo1C3bl3NFkmFQtp8oJiYGJiamkqHd1+/fo3jx49nOSo0YsQIfPrppwCA8+fPo3379tIo0H8tXLgQ06dPB/B+VGjZsmVZ1hMcHCzdNzMzg4mJiVSXmZmZ7H69evWkvra2tvjzzz9lwSh9QEq/fIeFhQWOHz+era+PlpYWbGxsstVXkximiIjUJDY2Flu3boWXlxdu374ttTdu3BijR49G7969YWxsrMEKKS+EEEhKSoK2tjZ0dXUBvJ//dvPmTcTExEihKP2//fr1k+b0nD9/HhMmTJA9HxcXJ21/zZo1GDNmDADgwYMHGDZsWJa1NGvWTApThoaGsiBlYGAgCz5WVlbSc+XKlcPUqVMzBKO0++kPsVWpUgUxMTHZ+toYGhpi4MCB2epbHDFMERHlUUBAAH799Vds3rwZ0dHRAN5/uAwYMADjx4/nKFQhEBERgadPn0oh5r/B54svvkDNmjUBAP/++y/mz5+faThKTU3Ftm3b0K9fPwDvA1KvXr2yfN+aNWtKYSopKQn+/v6Z9tPW1kZSUpL02NbWFh07dswQetJu6Sdd165dG0+fPpX66unpZVlP2bJl8dNPP2X760bZwzBFRJQLqampOHToELy8vGRzRapWrYpx48Zh6NCh+TrhtbgQQkAIIS3/EBoaimfPniEuLi7DLTY2Fv3794eDgwMA4NixY/j1118z7RsTE4Pdu3ejU6dOAID9+/dj+PDhWdbh6OgohamIiAj8+++/WfaNjY2V7pctWxYuLi4wMTGRDomlv58+SNetWxdHjx6V9TExMYGZmVmG+UA1a9bE0aNHs/U11NfXR6VKlbLVl/IHwxQRUQ68ffsWv/32G9auXYuXL18CABQKBbp27Yrx48ejXbt2xWpdKJVKhcTERCQkJMDc3Fya+/LixQs8fvw40yATFxeHcePGoVy5cgCAnTt3Yv369Zn2i4+Px7lz59CsWTMAwLZt2zBp0qQs66lfv74UpoKCgnDw4MEs+6YPPVZWVihfvrwUZP77b/ow4urqiq1bt2baL+3fNM2aNctytOm/rKys0LFjx2z1paKFYYqI6COEELh8+TK8vLzw999/S4trWllZYeTIkRgzZoz0AV9Q9aSkpCA+Ph7x8fFISEiQ3W/atKl0qOfcuXO4fv16pv3i4+OxatUqlC1bFgCwbNkyrF27VtYvMTFRet87d+7AyckJALB582bMnj07yxq7du0qhamgoKAPjvSknzdUpkwZODg4wNjYONNb+snIzZo1w/r16zPtZ2pqKuv76aefSnOMPsbe3h79+/fPVl8igGGKiChLCQkJ2L59O7y8vODn5ye1N2rUCGPHjkX37t0BvL8g8dOnT5GUlCQdKgKA69ev4+XLl0hMTMz09sMPP0gjPWvWrIGPj0+Wfa9cuSItevjll19iw4YNWdYdGBiI8uXLAwD27duHX375Jcu+c+bMkcJUZGSkbBHR/0p/enu5cuVQu3ZtGBkZZQgyJiYmKFOmjNS3U6dOsLGxkZ77b39LS0up74ABAzBgwIAsa0ivevXqqF69erb6EuWnYhOmvLy8sGTJEgQHB8PFxQWrVq2Cq6trpn03bNiAP/74A3fu3AHwftXhBQsWZNmfiAqOEAKpqalITk6GUqmUrQT+7NkzxMbGIjk5GcnJyUhJSZHu6+jooH379lLfffv2ISgoSNYn7b6enh7mzp0r9Z0/fz5u3rwpPR8VFYUXL17gzZs3UCqVAN7PS+nbty9evnyJ8+fPZzn/RqVSSXNfFi9ejF27dmW5r1OnTpUOGV29ehV///13ln3TDrMB7ye3p9HS0oKRkRGMjIxgaGgIIyMjqWbg/e+3fv36yZ5P+9fIyEgWeoYNG4b27dvLnk//mvTXNRs5ciRGjhyZZb3p1axZUxYyiYobhchqjfYiZOfOnRg8eDDWrl0LNzc3LF++HLt27UJAQACsra0z9B8wYACaNWuGpk2bwsDAAIsXL8a+fftw9+5daVj6Y6Kjo2Fubo6oqChe9oEKNZVKhaSkJOlMIQsLC+m5W7duZQgaaf9aWVmhRYsWUt/169dLQea/AcXe3l42z2X06NEICQmR9UvrW6VKFVloaNy4MR4+fCjrk6ZatWp4+PCh9NjFxQW3bt3KdD/t7OwQFBQkPW7WrBkuXryYaV9zc3NERkZKj9u3b48TJ05k+TVcvHgxhg8fjtKlS6Nnz57Yv3+/7HktLS0YGhrCwMAAr169goGBAQBg5syZOHXqlPTcf2+LFy+Wlko4ceIEHjx4kGk/Q0NDNGrUCPr6+gCAmJgYKJVKGBkZQVdX94MLGRKRXH58fheLMOXm5oZGjRph9erVAN5/eNjb22PChAnSQmUfolQqUapUKaxevTrLJe7TfxgB778Z9vb2DFP0QUqlUjqtWl9fXxoFSExMxNGjR5GcnCz9bKXdT05OhpOTE7p16yb19fT0lIJJWv+kpCQkJiaiVatWmDVrFoD3KyBXrlxZei4xMVEWTrp16yabsKuvry/N//mvtm3b4tSpU9JjKysrhIeHZ9rX1dUVly9flh5XqFABgYGBmfZ1cnKSRoWB96MWDx48yLSvg4MDnj17Jj3+5JNPcPfuXejq6kJPT0+66erqwtraGkeOHJH6fv/99wgICMjQT09PD8bGxvjxxx8BvL84qqenJw4dOoR3795Jr3dxccGnn36KZs2aoX379lJgCQ4ORmpqqizspF+QkIgKt/wIU0X+N0BycjKuX7+OGTNmSG1aWlpwd3eHr69vtrYRHx+PlJQU2XH7/1q4cCHmzJmT53qpaBFCSBNxIyMj8e7dO9nNxcUFbdu2BQC8fPkSPXr0kC7nEBMTI5tj4uHhgVWrVgF4/5/5s88+y/J9Bw8eLIUplUqFNWvWZNk3/c+tjo4OgoKCsrwo6H+DU/ny5ZGSkiILJ2n3a9WqJevbq1cvxMfHZ+inp6eHihUryvrOnz8fiYmJmW437VBVmoMHD0KlUmXYZtr99NKHu4+ZN2/eB5/38/ODl5cXtm3bJk2ytrCwwLBhwzB27FjZNb/SKwqrMRNRwSryYSosLAxKpVKaQJmmbNmyWf61+1/ffPMN7Ozs4O7unmWfGTNmwNPTU3qcNjJFRU9sbCwuXryIN2/e4M2bNwgODkZ4eDgiIyMRERGBfv36Ydy4cQCAJ0+eZPmhCgATJkyQwpS+vj5u3LiRaT9dXV3ZPBYjIyPpjCt9fX3o6+vL7jdt2lTqq6+vj1mzZkFXV1cKGGkjIvr6+rIgo1AocO3aNamPvr6+7N+0VZvTPHnyJNtft/Xr12e776BBg7Ld90NfX3VLTk7Grl27sHr1aly6dElqd3FxgYeHB/r168cVyokox4p8mMqrRYsWYceOHfDx8ZHmOWQm7UOOCi8hBF6/fo0nT57g+fPnslufPn3w5ZdfAng/gtShQ4cst5P+elNGRkbSfVNTU1hZWUk3S0tLNGjQQHreysoKhw8fllYrNjU1le7/92fHxMQEFy5cyNZ+aWtrf/AU9P/60IVJS6qIiAisW7cOq1atwuvXrwG8D7iff/45xo8fj6ZNm3LeERHlWpEPU6VLl4a2tjZCQkJk7SEhIR8djl+6dCkWLVqEkydPok6dOvlZJqlRZGQkHj58CFNTU+kMoQcPHqBhw4ay9WrSc3R0lO7b2dnB2dkZtra2sLGxgY2NDaysrFCqVClYWFjIzjqysbFBbGwsDA0NP7oQo46ODjp37qyGPSR1efbsGZYvX46NGzdKPxu2trYYO3YsRo0axUN2RKQWRT5M6enpoUGDBjh16hR69OgB4P0ck1OnTsHDwyPL1/3000+YP38+jh07hoYNGxZQtZQTCQkJ8Pb2xsOHD2W30NBQAMCYMWOkuUTly5dHXFwctLW1UbFiRVSqVAkODg7SzcXFRdquhYVFlmeE/ZeWlhYP+xRBly5dws8//4y9e/dCpVIBAJydnTF58mT069fvg9cuIyLKqSIfpgDA09MTQ4YMQcOGDeHq6orly5cjLi5OuuL24MGDUa5cOSxcuBDA+9OcZ86ciW3btsHBwQHBwcEAIF0niQpWfHw8rl+/jhs3bsDGxga9e/cG8H5+S1aTtG1tbWVr7ZiYmODhw4eoWLEiPyhLKKVSiYMHD+Lnn3+WHULt0KEDJk+eDHd3dx7KI6J8USzCVJ8+ffD27VvMnDkTwcHBqFu3Lry9vaVJ6S9fvpQdolmzZg2Sk5Px+eefy7Yza9asHM1Nodx5+/YtLly4gPPnz+P8+fO4fv06UlNTAQDu7u5SmDI3N0f79u1RunRpODo6wtHREdWrV0e1atVgamqaYbsFOZGZCo+4uDhs3rwZy5cvx+PHjwG8nw81YMAAeHp6wtnZWcMVElFxVyzWmdIELtqZfbGxsdKIn0qlgqWlJaKiomR9bG1t0ahRI7Rq1Up21iRRVoKDg7F69WqsWbNGWv+qVKlSGDt2LDw8PGBra6vhComoMOI6U1QkpKSkwMfHB/v378fJkyehUqmk631paWmhWbNmeP78OVq0aIHmzZujefPmqFixIg/BULbcuXMHy5Ytw9atW6V1sypXroxJkyZh2LBhnONGRAWOYYrUIjExEcePH8eePXtw8OBB2aU6tLS0EBISIh12PXDgAFeMphwRQuDUqVNYunQpjh07JrU3bdoUkydPRvfu3WXXjSMiKkj8RCO1+PLLL/HHH39Ij62trdGjRw907twZrVq1kl0PjkGKsis5ORk7duzAzz//LJ2BqaWlhZ49e2Ly5Mlo0qSJhiskImKYolyIj4/Hjh070KpVK1SpUgUAMHDgQPz777/o1asXPvvsMzRr1owjBZRrERERWL9+PVauXCktsmlsbIzhw4dj4sSJqFy5soYrJCL6H4YpyragoCB4eXlh3bp1CA8Px5QpU7BkyRIA7y9A+/z5cwYoypOsFtn86quv8OWXX6JUqVIarpCIKCOGKfoof39/LF26FDt37pSWMKhUqZJsdOBjq4MTfcjly5exdOlSLrJJREUSwxRlSQiBIUOG4M8//5TaWrZsiYkTJ+LTTz/lKBTliRAChw8fxuLFi3H+/HmpvX379pgyZQoX2SSiIoNhirKkUChgbW0NhUKBvn37YvLkybIL+xLlRmpqKnbt2oWFCxfi9u3bALjIJhEVbVy0M5eK46KdiYmJWLJkCbp164a6desCAMLCwhAcHIzatWtrtjgq8hITE7Flyxb89NNPePr0KYD3lwEaO3YsJk6cCDs7Ow1XSEQlARftpHxz6NAhfP3113j69CmOHTuGc+fOQaFQoHTp0ihdurSmy6MiLCYmBuvWrcOyZcvw5s0bAICVlRUmTpyI8ePHc1I5ERV5DFMl3Nu3bzF27Fjs2bMHAGBnZwcPDw8NV0XFwbt377By5UqsWrUKERERAIDy5ctjypQpGDlyJFcqJ6Jig2GqBNu/fz9Gjx6Nt2/fQkdHB56envjhhx+k6+gR5UZ4eDiWLVuGlStXIiYmBgDg6OiIb775BgMHDuSZeURU7DBMlVC7du1C7969AQC1a9fGH3/8gXr16mm4KirKMgtRLi4u+O677/DZZ5/x7E8iKrYYpkqoHj16oHXr1nBzc8OcOXOgr6+v6ZKoiAoPD8cvv/yCFStWSCGqTp06mD17Nrp37841yIio2GOYKkFOnz6N5s2bQ1dXF7q6ujh58iRHCyjXIiIipBAVHR0N4H2ImjVrFnr06MEQRUQlBn/blQBCCPz4449o27Ytpk2bJrUzSFFuREREYNasWXBwcMCPP/6I6OhoODs7Y8+ePbhx4wY+++wzBikiKlE4MlXMpaSkYOzYsdi4cSMAQKVSQQjBlaUpxyIiIrB8+XIsX75cGolydnbGrFmz0LNnTwYoIiqxGKaKsbi4OHz++efw9vaGlpYWVq9ejbFjx2q6LCpisgpRM2fO5CgUEREYpoqtuLg4dO3aFT4+PjA0NMSOHTvw6aefarosKkIymxPFkSgioowYpoohIQQ+++wz+Pj4wMzMDN7e3mjSpImmy6IigiGKiChnGKaKIYVCAQ8PD/j5+eHQoUNwc3PTdElUBDBEERHlDsNUMdWtWzc8e/aMq5nTR0VGRmLZsmUMUUREucTfksWEEAKzZs3C8+fPpTYGKfqQmJgYzJ8/H5UqVZItcbB79274+/ujV69eDFJERNnA35TFxA8//IC5c+eiRYsWiI+P13Q5VIjFx8fj559/RuXKlfH9998jMjISTk5O2LVrF0MUEVEu8DBfMbBt2zbMnz8fADB79mwYGRlpuCIqjJKTk7FhwwbMnz8fb968AQBUq1YNc+bMQe/evbmIKxFRLjFMFXHXrl3DiBEjAADTp0+X7hOlEUJg9+7dmDFjBp48eQIAqFixImbNmoVBgwZBR4e/BoiI8oK/RYuwN2/eoEePHkhMTESXLl0wb948TZdEhczFixcxZcoU+Pr6AgBsbGwwc+ZMjBgxAnp6ehqujoioeGCYKqKUSiX69u2LoKAg1KhRA1u3buVhGpI8fvwY06dPx549ewAARkZGmDZtGiZPnswTE4iI1IxhqogKCwtDdHQ0TExMcODAAZibm2u6JCoEwsLC8OOPP+LXX39FamoqtLS0MHz4cMydOxe2traaLo+IqFhimCqiypYtC19fX9y6dQuOjo6aLoc0LDExEStXrsSCBQsQFRUFAOjUqRN++ukn1K5dW8PVEREVbwxTRYwQAgqFAgBgYGAAV1dXDVdEmiSEwIEDBzBp0iRpjbG6deti6dKl+OSTTzRbHBFRCZHtxWRevXoFpVKZn7VQNgwZMgSzZ89GcnKypkshDbt//z46duyInj174vnz5yhXrhy2bNmC69evM0gRERWgbIepzp07IzY2VnocERGBK1eu5EtRlLl9+/bhzz//xLx583D//n1Nl0MaEh0djcmTJ6NOnTo4fvw49PT08N133yEgIACDBw/mgptERAUs2791dXR0ZJOczc3NMXbs2HwpijJ69+6d9PWeNm0aXFxcNFwRFTSVSoXNmzfD0dERy5YtQ2pqKj799FPcu3cP8+bNg7GxsaZLJCIqkbIdpsqXL49z587974VaWjzUVIAmTpyIkJAQ1KpVC7NmzdJ0OVTArl69iqZNm2LYsGEICQmBo6Mjjh49igMHDqBKlSqaLo+IqETLdphavXo1xo4di1GjRmHDhg346quvULFiRQDvP+g3bdqE69evIykpKd+K/RAvLy84ODjAwMAAbm5uHzwEeffuXfTq1QsODg5QKBRYvnx5wRWaC8eOHcNff/0FLS0tbNq0Cfr6+pouiQrIw4cPMWzYMLi5ueHy5cswMTHBkiVLcPv2bXTs2FHT5REREXIQpipUqIAbN26gXbt2ePnyJRwdHbFjxw4AQNu2bREUFITFixejfv36qF27Nvr06YP58+fjn3/+ybfi0+zcuROenp6YNWsW/Pz84OLigg4dOiA0NDTT/vHx8ahcuTIWLVoEGxubfK8vL5KSkjBhwgQAwNdff82z90qIK1euoFevXqhRowY2b94MIQQGDx6Mhw8fYsqUKVy9nIioEFEIIYS6N5qYmIg7d+7g1q1buH37Nn755Rd1v4WMm5sbGjVqhNWrVwN4P7fE3t4eEyZMwPTp0z/4WgcHB0ycOBETJ07M0XtGR0fD3NwcUVFRMDMzy23pH3X+/Hm0a9cOFhYWCAgIyNf3Is27cuUKZs2aBW9vb6mtW7du+O677+Dm5qbByoiIiof8+PzO1TpTP/30E/z9/REcHAxDQ0PUqlULn332GZo0aQLg/fpHDRs2RMOGDdVS5IckJyfj+vXrmDFjhtSmpaUFd3d36Xpk6pCUlCQ7hBkdHa22bX9I8+bNce/ePbx48YJBqhi7e/cupk+fjkOHDgEAtLW1MXDgQEydOhVOTk4aro6IiD4kV+dQr1q1CmFhYbC2tgYA7NixA82bN0fHjh2l1ZcLSlhYGJRKJcqWLStrL1u2LIKDg9X2PgsXLoS5ubl0s7e3V9u2P6ZSpUpo3bp1gb0fFZy3b99i7NixqFOnDg4dOgQtLS0MHToUAQEB2Lx5M4MUEVERkKuRqcDAwAxtly5dwtixYzF+/Hj89ddfeS6ssJkxYwY8PT2lx9HR0fkaqPz8/JCSksJDO8VUUlISVq5ciXnz5kmjnJ999hkWLlzIywMRERUxalvdr3Hjxti0aRMOHjyork1mS+nSpaGtrY2QkBBZe0hIiFonl+vr68PMzEx2yy9CCIwfPx6NGzfGhg0b8u19qOAJIbB7927UrFkT06ZNQ3R0NOrVqwcfHx/s2bOHQYqIqAjK87X5Nm3aBFNTUxgYGGD//v2wsrJSR13ZpqenhwYNGuDUqVPo0aMHgPcT0E+dOgUPD48CrUVd9u7di0uXLsHY2BjdunXTdDmkJs+ePcOXX36JEydOAABsbW2xYMECrlpORFTE5TlMXb58Gbt27UJkZCS6dOlS4CNTAODp6YkhQ4agYcOGcHV1xfLlyxEXF4dhw4YBAAYPHoxy5cph4cKFAN5PWr937550PygoCP7+/jAxMUHVqlULvP70UlJSpMn0kydPLvRLN9DHpaamYsWKFZg5cybi4+Ohr6+PadOmYdq0aTAxMdF0eURElFdCDVQqlThy5IhwcnISmzdvVscmc2zVqlWiQoUKQk9PT7i6uopLly5Jz7Vq1UoMGTJEevzs2TMBIMOtVatW2X6/qKgoAUBERUWpcS+E8PLyEgCEtbW1iI6OVuu2qeD5+fmJBg0aSD9jrVu3FgEBAZoui4ioxMqPz+9crTPVsmVLLFmyJMPkaH9/f3Tu3BmvX7/OY8Qr/PJjnYqEhARUrlwZwcHB8PLywrhx49SyXSp48fHxmDNnDn7++WcolUpYWFhg6dKlGD58OBQKhabLIyIqsQrNOlNOTk5o1qwZXF1d0atXLzg7O8PExATbt29HQkKCWgoridatW4fg4GA4ODhg5MiRmi6HcunatWsYOHAgAgICAABffPEFVq5cyUO2RETFVK7C1Jo1a+Dh4YElS5Zg7ty5iImJAQAoFAosWLBArQWWJFZWVihXrhy+++47Xi6kCEpNTcXixYsxe/ZspKamws7ODmvXruVJBERExVyeLyejVCrx5MkTREZGomLFihkWzyyu8utyMomJidDW1oaurq7atkn57+nTpxg0aBAuXrwIAOjduzfWrFkDS0tLDVdGRETpFZrDfOlpa2tzbRw1MjAw0HQJlANCCGzatAlff/01YmNjYWZmBi8vLwwYMIBzo4iISog8hynKu23btkEIgb59+0JbW1vT5VA2RUZGYuTIkdizZw+A9ydm/PHHH6hYsaKGKyMiooLEMKVhSUlJmDJlCt68eQMhBAYOHKjpkigbrl27ht69e+PZs2fQ1dXFvHnzMHnyZIZhIqISiGFKw7Zu3Yo3b96gXLly6N27t6bLoY8QQmD16tWYPHkyUlJSUKlSJfz9999o2LChpksjIiINYZjSIJVKhaVLlwIAJk6cyDP4CrmoqCiMHDkSu3fvBgD07NkTv//+OywsLDRbGBERaRQvCKZBR48exf3792FmZobRo0druhz6AD8/PzRo0AC7d++Grq4uli9fjj179jBIERERw5QmLVmyBAAwevRotS6vQOoTEhKC8ePHw9XVFU+ePEHFihVx/vx5fP311zxbj4iIAPAwn8ZcvXoVZ86cgY6ODr7++mtNl0P/kZiYiKVLl2Lx4sWIjY0FAPTq1Qvr16/n2lFERCTDMKVBLVu2hIODA8qXL6/pUiid06dPY8yYMXj48CEAoGHDhliyZAlat26t2cKIiKhQYpjSkEaNGuHMmTNISkrSdCn0/yIjI+Hp6YlNmzYBAGxsbPDzzz+jb9++0NLiEXEiIsocw5SG6evra7oEAuDj44PBgwcjMDAQCoUCY8aMwcKFC2Fubq7p0oiIqJDjn9sF7N27d5g7dy7evn2r6VIIQHJyMr755hu0bdsWgYGBqFKlCs6dO4dff/2VQYqI6D+EEFAqlUh/Wd/k5GREREQgOjpa1jcoKAhPnz5FYmKi1BYZGYmbN2/i0aNHsr5+fn7w8fFBeHi41BYSEoJ//vkHZ8+elfU9ceIEtm7disDAQKnt9evXWLt2LXbs2CHru2vXLvz000+4d++erC61E5QrUVFRAoCIiorK0evmzp0rAIimTZvmU2WUXYGBgaJJkyYCgAAgRo4cKWJiYjRdFhGpmUqlEikpKSI1NVVqS0lJEaGhoSIkJETWNygoSNy9e1eEhYVJbfHx8eL8+fPiwoULsr5+fn5i3759IiAgQGqLjY0Vv//+u9i4caOs74kTJ8RPP/0kzp07J9vu9OnTxdSpU2W17d27V3z55Zdi165dsnr79+8v+vTpI2JjY6X2rVu3ik6dOonVq1fL3q9Vq1aiSZMmIjQ0VGr7/fffRa1atcT06dNlfZ2cnISdnZ148uSJ1LZ+/XphYmIiBg4cKOtra2srAIgbN25IbZs2bRIARKdOnWR9q1atKgCI8+fPS207d+4UAESrVq1kfevUqSMAiGPHjklthw4dEgBEw4YNZX3Tfm/v3btXajt9+rQAIGrWrCnr265dOwFA/PXXX1Lbv//+m6vP7w/hyFQBSkxMxKpVqwAAHh4eGq6mZPv3339Rv359+Pr6wtzcHHv37sWGDRtgYmKi6dKINOa/Iw5xcXF4/vw53rx5I+t37do1+Pj4yEYiXrx4ge3bt+PEiROyvps3b8aiRYvw4sULqe327dv46quvpEWL00yfPh3du3fH1atXpbYrV67Azc0N/fr1k/UdOHAgKleujEOHDsn6lipVCnXr1pX17dq1K3R1dbFlyxap7e7du7C2toaLi4us78SJE+Hk5ITt27dLbUFBQWjevDk6deok67ty5Ur07NkT+/btk9qioqIwfPhwjBo1StZ3//79mDZtGo4fPy61paSkYNGiRViyZAlSU1Ol9kuXLmHdunXw9fWVbWPbtm3YuXOnbK7t48ePcfToUdy5c0fW19fXF76+vrJRoXfv3uHevXt49eqVrO/r16/x+vVrJCcnS22pqamIjY1FfHy8rG/a/FGVSvXBNgAwNjaGsbFxhjYbG5sMZ0VXqVIFNWvWhJGRkdRWqlQpNGrUCE5OTrK+rq6ucHd3R5kyZaS2MmXKoEePHnB3d5f1bdeuHYYMGYJKlSpJbdbW1lA7tcWyEiY3I1Pr1q0TAESFChVEcnJyPlZHWVGpVOLnn38WWlpaAoCoW7eu7K8xovymVCpFSkqK7PG9e/eEn5+fbHTi9u3bYuvWreLy5cuy18+ZM0d89913Ijo6Wmo7fPiwGDx4sFi3bp2sb+fOnUWzZs3Eq1evpLbNmzeLihUrirFjx8r6po043Lp1S2r77bffBADRrVs3Wd/KlSsLAOLixYtS2/bt2wUA0aZNG1lfZ2dnAUCcOHFCajt48KAAIBo1aiTr27hxYwFA7N+/X2pLG0VwcnKS9f3kk08EALFt2zap7dKlSwKAcHBwkPXt1q2bACDWr18vtd2+fVsAEGXLlpX1HTlypLCyspJ9LQMDA0XVqlVFvXr1ZH3nz58vmjRpIrZs2SK1hYeHi86dO4tu3boJlUoltf/xxx9iyJAhYs+ePVJbYmKimDhxopg8ebLsM+HEiRNizpw5slEalUolli1bJlasWCHi4+Ol9hs3bohNmzYJX19fWW379u0T+/btE3FxcVLbixcvxL///ivu3bsn63vjxg3h5+cnEhISpLbIyEjx+PFjERwcLOsbFhYmwsLCZD/DqampIjk5WfbzW5jl9sjShzBM5VJOvxlKpVI4OjoKAOKXX37J3+IoU8nJyWLUqFHSYb1hw4bJfilRyaNUKkVYWJgICgqStd+9e1ccOXJEPHr0SGqLjo4WCxcuFHPnzpX13bx5s+jTp4/YsWOH1BYVFSVcXFxE9erVZR8606ZNEwDE1KlTpbakpCTpZzIyMlJqnzVrlgCQIfTo6uoKACIwMFBqW7JkiQAgBg8eLOtrYWEhAIgHDx5Ibb/++qsAID777DNZ3/LlywsA4vr161LbX3/9JQwNDUXPnj1lfdu3by9q1qwprl27JrX5+PiItm3bCk9PT1nf77//XgwbNkzcvn1banvw4IH49ttvxdq1a2V99+7dK9atWyeePXsmtYWFhYmDBw+KM2fOyPreuXNH+Pr6irdv30pt8fHxIiAgQDx//lzWNzIyUrx7904kJiZKbSqVShZ2qORgmCpEcvrN2LdvnwAgLCwsOC9HA8LDw0Xbtm0FAKGlpSWWL1/OX6SFmEqlkv2VGxsbK3x9fWUjIUK8/381b948WQB48eKF6Nmzp+jfv7+s74QJE4Stra1sdOLx48cCgDA2Npb1HT58uAAgFixYILWFhIRIoSf9z87XX38tAIgZM2ZIbXFxcVLf9P/fv/vuOwFATJgwQbavpUuXFnZ2drL5LX/++af45JNPMvzx9dVXX4mvvvpKvHv3Tmq7cuWKWLJkiThy5Iis7969e8WePXtkv6eCg4PFlStXMozIhoaGZhhxICqOGKYKkZx+M5o2bZrhFy4VjJcvX4qaNWsKAMLExEQcOnRI0yUVWzExMcLPz0/4+fnJ2v/44w/x7bffyg4h3bp1S7Rt21b07dtX1jftkMwff/whtV27dk0AEOXKlZP1/eyzzwQA4eXlJbUFBAQIAMLc3FzWd/DgwQKAWLx4sdQWFBQkAAh9fX1ZQJo3b56oX7++LHjFx8eLoUOHijFjxsgCh4+Pj1ixYoUs6CmVSnH8+HFx9uxZWd+oqCgRGhrKEVEiDWKYKkRy8s1ITEwUI0aMEKampuL169cFUB2luXPnjnT4oly5cuLmzZuaLqlQu3nzpvD29pYdOrl9+7YYO3asmDNnjqxvjx49ROnSpcXRo0elthMnTggAonbt2rK+afNb0p9Rc/nyZWkO4X+3C0CsWbNGanv06JFwcHDIcBbsr7/+KkaMGCFOnjwptUVFRYk1a9aIP//8U9b3yZMnws/PTzb6k3aWFxGVHAxThUhuvhk8vFewLly4IEqVKiUAiBo1aogXL15ouqR8FRcXJwICAsTDhw9l7WvWrBFTpkyRzf85duyYqFixoujcubOsb/369QUAcfjwYant+PHjAoBwdnaW9U07bJp+AvC1a9eEra1thknIK1euFBMmTJBNpn737p3YunWrLIwJ8f5wWkhIiEhKSsrhV4CI6OPyI0xxBfQCxNPuC87p06fRrVs3xMXFoXHjxjh06BCsrKw0XdYHCSEQExMDQ0ND6OrqAnh/2vOxY8dQpkwZ9O7dW+o7YMAA3LlzB5s2bUL9+vUBAIcOHUKfPn3QsmVLnDlzRuq7YcMG+Pn5oU2bNqhatSoAQKFQ4MWLFzAzM5PVUL16daSmpkrvDwCOjo6YOXMmKlSoIOvr5eWF1NRUWXuDBg3w+vXrDPs2YcKEDG2Wlpbo379/hvZ8OW2ZiCgfMUzls99//x3169fPsO4J5R9vb2/07NkTiYmJaNeuHfbt25dhrZOC8u7dOwQHB6Ny5cowNDQEAFy9ehVbtmxBpUqVMHnyZKlv9erV8ejRI/j6+qJx48YA3q8K7OHhgRYtWsjC1IMHD3Dr1i0EBwdLbZaWljA1Nc1wiaJ+/fqhTZs2stDj6uqKS5cuydZpAd6vY/NfFStWxJw5czK016hRIydfCiKiYothKh+FhIRg3LhxSEpKws2bN1GnTh1Nl1Ts/fPPP/j888+RnJyMrl27YteuXTAwMFDreyQkJCA4OBi2trbSti9fvoyNGzeicuXKmD59utS3fv36ePnyJS5dugQ3NzcAwPPnz+Hl5YUWLVrIwlTa5WvevXsntVWpUgWfffYZnJ2dZTUsXboUycnJaNCggdTm7u6e4XIOADBlypQMbebm5lI9RESUNwxT+WjVqlVISkpC48aNM3wYkvodOnQIvXr1QkpKCnr16oVt27ZBT08vW68VQuDdu3cwMzOTXuPn54c//vgDFSpUgKenp9S3Zs2aePHihWwEKTAwEBs2bECzZs1kYcrGxgaxsbGIiYmR2pydnfHdd9+hevXqshqOHDkCY2Nj2QrADRo0wJ49ezLU26ZNm2ztFxER5T+GqXwSGRmJ1atXAwCmTp0KhUKh4YqKN29vbylI9enTB3/99Rd0dDL+eD969EiaPzV48GCpPbNDbM+ePcOKFSvQtGlTWZiysbFBcHAwIiMjpba6detizpw5GQLSxYsXoa2tLWurUaMG5s2bl6G2/x5yIyKiooFhKp+sWLECUVFRcHJyQo8ePTRdTrF24MABfPHFF9KI1J9//gkdHR18+umnuHz5Mg4cOCAFpFu3bsHT0xNNmjSRhanSpUvj0aNHCAkJkdqcnZ3xzTffZJgbdPr0aRgYGMgCctWqVTFz5swMtf03SBERUfHDMJUPIiMj8csvvwAAZs2aJV0EknJOCCELLatWrYK/vz+mTJmCmjVrwtfXF71790ZKSgpKlSqFbdu2SWeivXv3DqGhobKLetaoUQN9+vTJMH/twIEDMDMzk03ednR0xKJFizLUlDaRnIiICGCYyhcrV66URqV69eql6XIKvefPn+PJkydwdnaWTov38fHBkCFD4ODgIDvNf+fOnbhw4QI6duwIlUqFLl26IDk5GYaGhmjTpo1sjtSqVaugpaUlLQcAAE5OTtixY0eGGniIjYiIcothKh/Y2trCxsYGM2fO5KhUOk+fPsWGDRugp6cnO9V+wIABuHjxIv7++2988cUXAABjY2O8fPkSqampsm0MHToUHTt2hLm5Odq3b4+IiAg0btwYJ0+ezLD8Qdr6S0RERPmJn/T5YNSoUXj69Ck+//xzTZeS75KSknDnzh1cuHBB1j569GiULVsWu3fvltrCwsKwaNEi/Pbbb7K+NWvWzDAvycnJCRcvXsS1a9dk7SNHjsTo0aPh4eGB169fw8nJCYcPH9bYOlJEREQcmconxXFeze7du3Hx4kV88cUXaNKkCQDg5s2bcHNzQ7ly5WRzk2JjYxEaGornz59LbVWrVsX48eNRuXJl2Vyo/4YrADAyMpLeI73o6Gh06tQJjx49QsWKFXHs2DFYWlqqeU+JiIiyjyNTaqJSqfDFF19g165dmi4lR8LDw3Ht2jUEBQVJbQ8fPkSdOnXg5OQk67tnzx788ssvuHjxotTm4OCAUqVKwcbGBiqVSmr//vvv4efnhy+//FJqs7S0xOrVq+Hp6ZmrpSISExPRvXt3+Pn5oUyZMjh+/DjKlSuX4+0QERGpE0em1MTLywu7d+/G0aNH0bJlS5QtW1bTJcmEh4dj3bp1iIyMxOLFi6X28ePHY8eOHVi6dKm0Gre5uTlu374NhUKB5ORkaVJ3t27dUL58eTRq1Eh6vbW1NcLDwzO8X61atdRaf2pqKvr37w8fHx+YmprC29sbjo6Oan0PIiKi3Cg2I1NeXl5wcHCAgYEB3NzccOXKlQ/237VrF2rUqAEDAwM4OzvjyJEjuX7vCxcuSEFk8eLFBRakUlNTcffuXfz777+y9jlz5sDBwQErVqyQ2pKTk/Htt99iyZIlSElJkdorVaoEW1tb2eutra1x9OhR3Lt3T7bwZf/+/bFkyRK0bNkyn/Yoc0IIjBkzBvv27YOenh4OHDjAyeVERFR4iGJgx44dQk9PT/z+++/i7t27YtSoUcLCwkKEhIRk2v/ChQtCW1tb/PTTT+LevXvi+++/F7q6uuL27dvZfs+oqCgBQPj4+IjSpUsLAKJXr15CqVTmaV9SU1PFw4cPxeXLl2Xt27ZtE3369BHbtm2T2kJDQwUAoaWlJZKTk6X2b775RgAQEyZMkNpUKpUYNmyY+OGHH0RsbKysvbBL2x8tLS2xd+9eTZdDRERFWNrnd1RUlNq2WSzClKurqxg/frz0WKlUCjs7O7Fw4cJM+/fu3Vt06dJF1ubm5ia+/PLLbL9n2jcj7VapUiWxfft28csvv4gpU6aIkydPSn3j4+PF1KlTxcSJE2XhZcWKFaJRo0ZizZo1Ult4eLi0zcTERKl9+vTpAoD4+uuvZftZtmxZ4ezsLAuOjx49EhcvXhShoaHZ3p/CaunSpdLX47ffftN0OUREVMTlR5gq8nOmkpOTcf36dcyYMUNq09LSgru7O3x9fTN9ja+vr+xaawDQoUMH7N+/P8v3SUpKQlJSkvQ4Ojpa9vyzZ8/Qr18/6fHy5cvRoEED1K1bFy4uLliyZAkAYNGiRdIq269fv8bVq1fRtGlT6XXm5uYwNzdHqVKlEBMTI/Xt2rUrbGxs4OrqKtvP4ODgDLVWrVpVtlBlUbV9+3ZMmTIFwPuv24gRIzRcERERUUZFPkyFhYVBqVRmmKdUtmxZPHjwINPXBAcHZ9o/s2CSZuHChbKFJtNYWVnBzc0NycnJiI6OxqNHjxAZGYnU1FRcvnwZly9flvW9ceOGdJ24QYMGoUWLFqhcubLUR0tLS3YB3TTNmjVDs2bNsqyvuDl//jyGDh0KAJg0aRKmTZum2YKIiIiyUOTDVEGZMWOGbDQrOjoa9vb2uHTpUoZRIKVSiSdPnuDGjRvw8/ODj48Prl27htjYWNlyA2/evEHZsmUzLFhZ0j169Ag9evRAcnIyevbsiaVLl+ZqKQUiIqKCUOTDVOnSpaGtrY2QkBBZe0hICGxsbDJ9jY2NTY76A4C+vr7sIrhpMlsWQFtbG46OjnB0dESfPn0AABEREbh37x5MTU2lft988w38/PywefNmDBkyJOudLEHCw8PRpUsXvHv3Do0aNcJff/3FS/IQEVGhVuQ/pfT09NCgQQOcOnVKalOpVDh16lSmK2gDQJMmTWT9AeDEiRNZ9v+Qd+/eZatfqVKlZIfpUlJSUL16dZiZmaFr165S+4ULF+Dr6wshRI5rKeqUSiX69esnrW5+8OBBGBkZabosIiKiDyryYQoAPD09sWHDBmzZsgX379/H2LFjERcXh2HDhgEABg8eLJug/vXXX8Pb2xs///wzHjx4gNmzZ+PatWvw8PDI8XtnNjKVHbq6uti2bRuCg4NhZWUltU+dOhVNmzZFw4YN8fvvvyMhISFX2y+Kvv32Wxw/fhxGRkY4ePDgB0cKiYiICotiEab69OmDpUuXYubMmahbty78/f3h7e0tTTJ/+fIl3rx5I/Vv2rQptm3bhvXr18PFxQW7d+/G/v37Ubt27Ry/d27DVJr01/BLTk5GjRo1oK+vDz8/P4wYMQLly5fH1KlT8fTp0zy9T2G3c+dO/PTTTwCATZs2oU6dOhquiIiIKHsUoiQeT1KD6OhomJubY9asWZg9e7Zatx0WFobff/8da9askS4UrFAo0LlzZ4wfPx4dOnQoVvOIbt++jcaNGyM+Ph7ffPMNFi1apOmSiIiomEr7/I6KioKZmZlatll8PpE1JK8jU5kpXbo0pk2bhsePH+PgwYPo0KEDhBA4fPgwOnfuDEdHRyxdujTb87UKs5iYGHz++eeIj49H+/btMX/+fE2XRERElCMMU3mUH2Eqjba2Nrp16wZvb28EBARg4sSJMDc3x5MnTzB16lSUK1cO48aNy7f3z2/i/6+59/DhQ5QvXx5bt26Ftra2pssiIiLKEYapPMrPMJWeo6MjfvnlFwQFBWHDhg2oX78+kpKSZGf9CSEQGxtbIPWow4YNG7Bt2zZoa2tjx44dKF26tKZLIiIiyjGGqTwq6ENtxsbGGDlyJK5du4YrV65g6tSp0nOXL1+Gra0tJk+eXKA15cbNmzfx1VdfAQAWLFhQolZ3JyKi4qXIL9qpaQU1MvVfCoUCjRo1krXt3bsXsbGxspqEEB9dkLSgJSQkoF+/fkhKSkLnzp2l6+8REREVRRyZyiNNhanMLF68GKdPn5aFkxs3bqBcuXLo1KkTdu7cicTERA1W+N60adNw//592NjYYMuWLcXqzEQiIip5+CmWRxEREVCpVJouA8D70arWrVvLrv935swZqFQqeHt7o2/fvrCxscHw4cNx/PhxpKamFniNR48exerVqwEAmzdv5jwpIiIq8rjOVC6lrVMBvJ83ZWlpqeGKsvb48WP88ccf2LJlC16+fCm1ly5dGr169ULfvn3RokWLfD+TLjQ0FHXq1EFISAi++uorrFixIl/fj4iI6L/yY50phqlcSh+mHj58iGrVqmm4oo9TqVQ4d+4cdu7ciV27diEsLEx6zsbGBp9//jm6d++OVq1aQVdXV63vLYRA9+7d8c8//8DJyQlXr16Vrf5ORESUV0IIxMfH4927d7JbeHg4EhIS4OnpyTBVmKQPUxcvXszVRZI1KTU1FadPn8aOHTuwd+9eREZGSs/NnTsXP/zwg1rfb926dRgzZgz09PRw9epVXi6GiIiy5cmTJ3j9+jWqV68Oa2trAMDVq1exfv16hIeHZwhOycnJmW5HR0cHycnJiImJUXuY4tl8alAUVyLX0dFBu3bt0K5dO6xZswbHjx/H/v378c8//6Br165SvwMHDsDLywsjR45E7969c/VeAQEBmDRpEgBg4cKFDFJERCWIEAJRUVGyUaLMRo7S7isUCly9elV6/YgRI3DmzBls374dffv2BQC8evUKv/32W5bvqaurCysrqwy3lJSUfNlHhik1KIphKj09PT107doVXbt2hUqlgkKhkJ7bs2cPTpw4ARcXFylMJSQk4OjRo/jkk0+k0bmsJCcnY8CAAUhISIC7uzsmTpyYn7tCRET5KCEhQXbYzM3NTXpu2bJluHXrFr7++mvUq1cPAPDXX39h6NChUCqV2X4PHR0dCCGkz6JKlSrh9evX0NH5X2RxdnbG3LlzpZBkaWkpC03Gxsayz7L08uOsdoYpNUg/96io++8yBT/88AOcnZ3Rpk0bqe3cuXPo1asXtLW10bhxY7Rv3x5t2rSBq6sr9PX1Za+fM2cOrl+/DktLS2zevJnLIBARFQJpZ3OnBZTHjx/j/PnzWY4WpQ9QacqUKYPQ0FDp8T///AMfHx906NBBClMmJiZSkDIyMsoy/Py3LX2Y2rRpU4b6q1atqvbpKHnBMKUGRX1k6kOqVasmW2UdAOLi4uDo6IiHDx/iwoULuHDhAmbNmgV9fX00btwYLVu2RKtWraCnp4fFixcDeD9nqly5cprYBSKiYispKQkREREIDw/P8qanp4fly5dLr2nevDkuXLiAo0ePomPHjgCAs2fPYsSIEdl6Tx0dHVhaWqJs2bKy0DNs2DB06NBBNpWjXbt2ePXqFaysrGBgYKC+HS9kGKbUoDiHqcz07NkTPXv2xPPnz3H8+HGcOHECZ8+eRWhoKM6cOYMzZ87gxx9/lPrXqFEDxsbGGqyYiKjwEkIgISEBsbGx0gRrANi5cydevHiBvn37okKFCgCAv//+GwsWLJCCUlxc3Ee3X7p0aVmY0tPTA/B+ncQ0VatWRceOHTOMEP13BMnS0hJmZmaZHkIbPHhwhjZjY+MS8fufZ/PlUvqz+Xr16oXdu3druCLNEkLg4cOHOHv2LM6ePYuDBw8iOjpaer5Lly44dOiQ9HjZsmVwdnaWRrCIiIqToKAgPHjwQDpU9qGRo/DwcCQlJaFatWp4+PChtI169erB399fNoK0adMmDB8+XPZeCoUCpUqVkoKPpaWl7Fa6dGl4eHhI/d+8eQNdXV2UKlUq39cXLIzyY2kEjkypQXGaM5VbCoUC1atXR/Xq1eHq6ort27cDAMaNG4fU1FTZdQSDgoIwefJkaGlpISoqSgpTZ86cga6uLmrXrq22H3AiopxSKpWIjIxEREREpofQjI2N4enpKfV3d3fH7du3cejQIel33c6dO3N80fn0f4AC7/8IrVOnDsqUKSO1tWvXDt7e3rKwZG5unqP5qLa2tjmqiz6OYUoNGKb+R6lUYsSIEVAqlejZsydWr16dYTg4KSkJ/fr1Q0xMDExMTKT26dOn49KlSwCAihUrwtnZGXXq1IGzszOcnZ3h6Oio9sVEiah4UqlUSEhIkB1iOnDgAIKDg9GrVy/pUlY7duzAb7/9hvDwcCk8RUVFfXDbVatWlYWp8PBwhIaGyj4L7O3tUbt27QyjRB+6pf99CADz5s3L8N7ly5dH+fLlc/U1ofzDw3y5lP4wn7W1NUJCQjRcUeGwcuVKfP311zA3N8f9+/ez/ReQEAK9e/eGr68vgoKCMu2jp6eH6tWrw8nJCbVq1YKTkxOaNGnCv7KISoCXL1/i0aNHUuBJGzFK/zj9LTIyEg0bNsSVK1ekbVSqVAnPnz+Hr68vGjduDOD9lIOsRpCMjY1RqlQp2dwhS0tL2Nvb4/vvv5f63bx5E1paWqhcuXKJmB9U1PEwXyEVFhYGpVJZIo89pxcUFCT9glm0aFGOQo5CocCuXbsAvP8r7/bt27LbnTt3EBMTIz1Os2bNGowZMwbA+8v67Ny5E66urujQoYMa94yIckOlUiEmJgZRUVGIjIxEVFSU7H7av3Z2drI16Bo0aIAXL17g4sWLcHR0BABs2LAh05GaD0k/wRoA2rZti7CwMFng6dSpE8qWLSvNOSpVqhRKlSoFCwuLbM/ndHFxyVFdVPwwTKmBSqVCeHi47Lh2STRp0iTExMSgcePGGD16dK63Y2lpiVatWqFVq1ZSmxACL168wN27d3H37l3cu3cPd+/elf0SO3/+PGbOnIl27drJwlT37t1RunRpVK1aFdWqVUPVqlVRpUoVmJqa5rpGouIu7Qyz9AHI0NBQ9n9u5syZCA8Px48//ohSpUoBeP+H1Jo1axAVFYXo6Ghk5+BHo0aNZGEq/aTtNBUqVECtWrWksPPf8JPZ47Sa0mzcuDHDe9esWRM1a9bM6ZeHSIZhKo9KlSqFiIgIhIaGlugwdfToUezatQva2tpYu3at2hfnVCgUcHBwgIODA7p06ZJpn0qVKmHw4MFwdnaW2qKjo3Hw4MFM+5cqVQr29vYoX7487O3tpVv58uVRv359WFhYqHUfiApK+rV/VCoVLl26hKioKLi7u0vzDvfs2YMzZ85IYSk6Olq6nxae0hZ2TNOuXTscP35cerxy5UpERUVhwoQJUnCJi4vDy5cvZa/T09ODhYUFzM3NYW5unuF+lSpVZP337t0LPT09VK5cWWobNWoURo0apb4vEpEaMUzlkZWVFSIiIvD27VtNl6IxiYmJ0mm3EydO1NiQd5s2bWQrtQPvF5fbunUrHj9+jMePH+PRo0d4/PgxwsLCpLkVt27dyrCtkydP4pNPPgHw/qyc1atXo2vXrvjmm28AvP+w2r17N6ytraVbqVKluMI75ZoQAtHR0YiNjYWdnZ0Uhvz8/PDkyRPExsYiNjY20/Dz3/udOnXCjh07pG03b94cQggEBwejbNmyAAAfHx+sXr36o3VpaWlJwSf9GkgA8PXXX0OlUskuKzVy5Eh069ZNFppyulhj2urZREUFw1QelSlTBo8fP5YtqV/SLFu2DE+fPkW5cuUwe/ZsTZcjY2RkhP79+2doj4qKwqtXrxAYGIjAwEDZ/cDAQFSsWFHqGxAQgPPnz8sOBcTExGS48LO2tjbKlCmDMmXKyEJW+luzZs1gZWWVfztM+U6pVCIkJARJSUmoVKmS1H7lyhW8ePECsbGxiIuLk/2b1f2uXbtKVwmIiYmRRkMTEhKkALJ8+XL8+eefOaoxMjJSuq+lpYU6depAS0tLdpHXDh06wMzMDObm5hn+TQtBFhYWMDExyfIaZ3PmzMnQVrFiRdn/H6KSgGEqj9IO7ZXUMBUUFIQFCxYAAH766acMp/YWVml/aTs5OX20b9++fVGzZk1pBWIAiI+PR4sWLRAaGorQ0FBERERAqVQiODgYwcHBWW7rzJkzaNmyJQDgt99+w9y5c9G3b1/89NNPAICUlBQMGjQIxsbGMDIyklYP/u/N0NAQRkZG0q1ixYrSpNr0h3iKG6VSiaSkJCQnJ2f4Nzk5GdbW1rCzswPwPjCfPn0aWlpa+PTTT6VtbNmyBY8fP0ZCQgLi4+M/+G/a/ZEjR2LhwoUA3i94aG9vD11dXSQnJ0vbnT9/fpaHlLOS/pB02vdPW1sbsbGxUpiqVasWWrZsCRMTE5iYmMhCT1b3LS0tZe/j7++f4b3TLm5ORHnHMJVHJT1MzZgxA3FxcWjatCn69eun6XLyhaOjo3RGURobGxucPXtWepycnIywsDC8fftWCliZ3dI+6AFIo2HpzziKi4vDzp07c1zjkSNH0KlTJwDvV0geM2YMunfvLp0hCfzvjCMdHR3o6upCR0dHdj+zQ5TTpk2TTgS4ePEiFi5ciFq1akmjKQAwZMiQDGdNAcgQ6IQQSE1NRUpKCjw8PNC9e3cAwLVr1zB8+HA4ODjIwkjLli1x584dpKSkSDeVSvXBr8OsWbOk0dHAwED07NkTpUuXlh2G37RpE86cOfPB7fxX+v0zNDSElpYW9PX1kZqaKl0o1tnZGREREVLoMTY2/uB9Y2Nj2fUqtbW1kZiYCD09PdnXbvr06Zg+fXqO6iWigsUwlUdpC7+VxDlTly5dkg4/rFixotiOhmSHnp4e7OzsZGHpY8aPH4/OnTvLzjjS09PDihUrEBcXl+UtPj5eNoISHx8vOzMxISFBdjgnze3bt7N1ZlV6AwcOlO4HBwfj0KFDskNIAHD8+PEPjsZlJv2ISEJCAm7fvo2kpCRZn6ioqExDWnp6enrQ19eX/jUyMpKeMzMzQ5MmTTKM0vTo0QPOzs7S6J6hoaHsfmb/pj+5xNLSEqmpqRl+3nN62n5m9PX187wNIip4DFN5lBamStrIlEqlwldffQXg/ZXCGzZsqOGKip60+VXpGRkZSV/X3Bo2bBi6d+8uWy1eCIF///1XGhlK/2/a/cyClpubm3S/fv362LhxozSBOc3PP/+MhIQE6X3SS/9YCAFdXV3o6urKfl6cnZ1x4sSJDIeI9+zZg9TUVOk1urq6suCko6PzwQBfoUIFXLx4MUN7+lPwc6Mk/9FARJnjCui5lLaC6ubNmzF06FA0b94c586d03RZBWbz5s0YNmwYTE1N8fDhQ9jY2Gi6JCIioo/KjxXQeR53HpXEOVPR0dHSHI4ffviBQYqIiEo0hqk8KolzphYtWoSQkBBUrVo1z4ekiIiIijqGqTxKG5mKiIiQnSZdXL169Qq//PILAGDp0qWcMEtERCUew1QepV/1OiwsTMPV5L/Zs2cjMTERzZs3l63dQ0REVFIxTOWRlpZWiTmj7969e9i0aRMAYPHixTyriYiICAxTapF2variPm9q+vTpUKlU6NmzJ5o2barpcoiIiAoFhik1SAtTISEhGq4k/5w7dw7//PMPtLW1pctqEBERUTEIU+Hh4RgwYADMzMxgYWGBESNGIDY29oOvWb9+PVq3bg0zMzMoFIoMKzrnVNrSADldBbqoEEJg2rRpAN5fEb569eoaroiIiKjwKPJhasCAAbh79y5OnDiBQ4cO4ezZsxg9evQHXxMfH4+OHTvi22+/VUsNtra2AN5fALU42rdvHy5dugQjIyPMmjVL0+UQEREVKkX6cjL379+Ht7c3rl69Kl2eYtWqVejcuTOWLl2a5XXS0i4n4ePjk+33SkpKkl07LDo6WrqfNjJVHMNUamqqFDo9PT2l4EhERETvFemRKV9fX1hYWMiu8+Xu7g4tLS1cvnxZre+1cOFCmJubSzd7e3vpubSAURwP823btg0BAQGwtLTE1KlTNV0OERFRoVOkw1RwcLA0+TuNjo4OLC0t1R5sZsyYgaioKOkWGBgoPVdcD/OlpKRg7ty5AIBp06ap7RpGRERExUmhDFPTp0+HQqH44O3BgwcFWpO+vj7MzMxktzTFdWTqzz//xJMnT1CmTBl4eHhouhwiIqJCqVDOmZo8eTKGDh36wT6VK1eGjY1NhoUyU1NTER4eXqAX3017r8jISCQkJMDQ0LDA3ju/JCcnS6NS06dPh7GxsYYrIiIiKpwKZZgqU6aMdM27D2nSpAkiIyNx/fp1NGjQAADw77//QqVSwc3NLb/LlFhYWEBfXx9JSUkIDg5GpUqVCuy988umTZvw4sUL2NjYYMyYMZouh4iIqNAqlIf5sqtmzZro2LEjRo0ahStXruDChQvw8PBA3759pTP5goKCUKNGDVy5ckV6XXBwMPz9/fH48WMAwO3bt+Hv74/w8PBc1aFQKIrVob6kpCTMmzcPwPu5YkZGRhquiIiIqPAq0mEKALZu3YoaNWrgk08+QefOndG8eXOsX79eej4lJQUBAQGIj4+X2tauXYt69eph1KhRAICWLVuiXr16OHjwYK7rKE7LI2zYsAGvXr1CuXLlPrpmFxERUUlXKA/z5YSlpSW2bduW5fMODg4QQsjaZs+ejdmzZ6u1juJyRl9CQgIWLFgAAPjuu+9gYGCg4YqIiIgKtyI/MlVYFJfDfOvWrcObN29QoUIFDB8+XNPlEBERFXoMU2pSHEamkpKSsGTJEgDAt99+C319fQ1XREREVPgxTKlJcbjY8R9//IHXr1+jXLlyH12agoiIiN5jmFKToj4ylZqaisWLFwMApkyZwlEpIiKibGKYUpO0MPX69WsNV5I7u3btwpMnT2BlZSWd5UhEREQfxzClJuXLlwcAhISEICUlRcPV5IxKpZLO4Js4cSJXOyciIsoBhik1KV26NPT09CCEKHKjU4cPH8adO3dgamqK8ePHa7ocIiKiIoVhSk20tLSk0alXr15puJrsE0Jg/vz5AIBx48ahVKlSGq6IiIioaGGYUqO0MBUYGKjhSrLPx8cHly9fhoGBASZNmqTpcoiIiIochik1sre3B1C0RqbS5kqNGDECZcuW1XA1RERERQ/DlBoVtZEpf39/nDx5Etra2pgyZYqmyyEiIiqSGKbUKG1kqqiEqWXLlgEAvvjiCzg4OGi2GCIioiKKYUqNitIE9KCgIGzfvh0AOFeKiIgoDxim1KgojUx5eXkhNTUVzZs3h6urq6bLISIiKrIYptQo/cKdycnJGq4ma3FxcVi7di0AYPLkyRquhoiIqGhjmFKjMmXKQF9fv9Av3Ll582ZERESgSpUq6Natm6bLISIiKtIYptRIoVAU+nlTSqUSy5cvB/B+rpS2trZmCyIiIiriGKbUrLAvj/DPP//g8ePHKFWqFIYOHarpcoiIiIo8hik1S5uE/vLlSw1Xkrm05RDGjBnDCxoTERGpAcOUmlWqVAkA8Pz5c80WkomrV6/i3Llz0NXVhYeHh6bLISIiKhYYptQsLUw9ffpUw5VklDYq1bdvX9jZ2Wm4GiIiouKBYUrNKleuDKDwhamXL19i165dAABPT08NV0NERFR8MEypWdrI1IsXL6BUKjVczf+sXLkSSqUSbdu2Rd26dTVdDhERUbHBMKVm5cqVg66uLlJSUhAUFKTpcgAA0dHR2LBhAwAu0klERKRuDFNqpq2tLV00+NmzZ5ot5v/9/vvviI6ORo0aNdCxY0dNl0NERFSsMEzlg8I0CT01NVW2SKeWFr/lRERE6sRP1nyQNgm9MIxM7du3Dy9evEDp0qUxaNAgTZdDRERU7DBM5YPCMjIlhMDPP/8MABg3bhwMDQ01Wg8REVFxxDCVDwrLyJSvry8uX74MfX19jBs3TqO1EBERFVcMU/mgsIxMpS3SOWDAAJQtW1ajtRARERVXDFP5oEqVKgCA4OBgxMbGaqSGp0+fYt++fQC4SCcREVF+YpjKBxYWFtJIUEBAgEZqWLlyJVQqFTp06AAnJyeN1EBERFQSMEzlkxo1agAAHjx4UODvHRkZiY0bNwLgqBQREVF+Y5jKJ5oMU7/99htiY2Ph5OSEdu3aFfj7ExERlSQMU/kkLUzdv3+/QN83JSUFK1euBPB+VEqhUBTo+xMREZU0RT5MhYeHY8CAATAzM4OFhQVGjBjxwUnf4eHhmDBhAqpXrw5DQ0NUqFABX331FaKiotRal6ZGpvbs2YPAwEBYW1ujf//+BfreREREJVGRD1MDBgzA3bt3ceLECRw6dAhnz57F6NGjs+z/+vVrvH79GkuXLsWdO3ewefNmeHt7Y8SIEWqtKy1MPXr0CKmpqWrddlbSL9I5fvx4GBgYFMj7EhERlWQKIYTQdBG5df/+fdSqVQtXr15Fw4YNAQDe3t7o3LkzXr16BTs7u2xtZ9euXRg4cCDi4uKgo6OTrddER0fD3NwcUVFRMDMzy/C8SqWCiYkJEhIS8PDhQ1SrVi37O5ZL586dQ8uWLaGvr4/AwECUKVMm39+TiIioKPnY53duFOmRKV9fX1hYWEhBCgDc3d2hpaWFy5cvZ3s7aV/QDwWppKQkREdHy24foqWlherVqwMouEN9aYt0Dh48mEGKiIiogBTpMBUcHAxra2tZm46ODiwtLREcHJytbYSFheHHH3/84KFBAFi4cCHMzc2lm729/Ue3XZDzph4/fowDBw4AACZNmpTv70dERETvFcowNX36dCgUig/e1BFQoqOj0aVLF9SqVQuzZ8/+YN8ZM2YgKipKugUGBn50+7Vq1QIA3L59O8+1fsyKFSsghEDnzp1Rs2bNfH8/IiIiei97E4QK2OTJkzF06NAP9qlcuTJsbGwQGhoqa09NTUV4eDhsbGw++PqYmBh07NgRpqam2LdvH3R1dT/YX19fH/r6+tmqP42LiwsA4ObNmzl6XU5FRETg999/B8BFOomIiApaoQxTZcqUydacnyZNmiAyMhLXr19HgwYNAAD//vsvVCoV3NzcsnxddHQ0OnToAH19fRw8eDDfznqrW7cuAODevXtISkrKcRjLrvXr1yM+Ph516tRB27Zt8+U9iIiIKHOF8jBfdtWsWRMdO3bEqFGjcOXKFVy4cAEeHh7o27evdCZfUFAQatSogStXrgB4H6Tat2+PuLg4bNy4EdHR0QgODkZwcDCUSqVa67O3t4eFhQVSU1PzbfHOpKQkaZHOSZMmcZFOIiKiAlakwxQAbN26FTVq1MAnn3yCzp07o3nz5li/fr30fEpKCgICAhAfHw8A8PPzw+XLl3H79m1UrVoVtra20i0786ByQqFQSKNT/v7+at12mr/++guvX7+GnZ0d+vXrly/vQURERFkrlIf5csLS0hLbtm3L8nkHBwekX0qrdevWKMilterWrQsfH598CVMqlQpLliwB8H6uVH4dRiQiIqKsFfmRqcIubWTqxo0bat/2gQMHEBAQAAsLi48u7UBERET5g2Eqn6VNjL9+/bpaLysjhMDixYsBAOPGjYOpqanatk1ERETZxzCVz2rVqgUzMzPExcXh7t27atvu2bNncfnyZejr6+Orr75S23aJiIgoZxim8pmWlhZcXV0BvL/8jbosWrQIADBs2DCULVtWbdslIiKinGGYKgCNGzcGAFy6dEkt27t8+TK8vb2hra2NKVOmqGWbRERElDsMUwWgSZMmANQXptIufTNo0CBUqVJFLdskIiKi3GGYKgBubm5QKBQICAjAw4cP87QtX19faVTq+++/V1OFRERElFsMUwXAysoKHTp0AADs3r07T9tKG5UaMmQIR6WIiIgKAYapAtKjRw8AwKFDh3K9jfPnz+P48ePQ0dHhqBQREVEhwTBVQLp06QLg/bypsLCwHL9epVLB09MTADB8+HBUqlRJrfURERFR7jBMFZDy5cvDxcUFQgh4e3vn+PVbt27F1atXYWpqirlz5+ZDhURERJQbDFMFqGvXrgCAXbt25eh1cXFxmD59OgDg22+/5bpSREREhQjDVAHq378/AODIkSMIDQ3N9utmz56N169fw8HBARMnTsyn6oiIiCg3GKYKUK1atdCoUSOkpqZiy5Yt2XrNzZs38csvvwAAVq1aBQMDg/wskYiIiHKIYaqAffnllwCAZcuWISEh4YN9ExMTMWzYMCiVSnz++efSYUIiIiIqPBimCtigQYNQoUIFBAcHY82aNR/sO3nyZNy4cQNWVlZYsWJFAVVIREREOcEwVcD09PTwww8/AAB+/PFHvH37NtN+v/76K3799VcAwF9//QU7O7sCq5GIiIiyj2FKA4YNG4a6desiMjISAwcORGpqquz5jRs3YsKECQCAefPmoWPHjpook4iIiLKBYUoDtLW1sWXLFhgaGuL48eNo1aoVDhw4gHPnzqFLly4YOXIkVCoVRo8ejW+//VbT5RIREdEHKIQQQtNFFEXR0dEwNzdHVFQUzMzMcrWNw4cPo1+/foiJiZG16+rq4vvvv8cPP/wAhUKhjnKJiIgI6vn8/i+OTGlQly5dcPPmTUyePBn29vawtrbGwIEDcefOHcycOZNBioiIqAjgyFQu5UeyJSIiovzFkSkiIiKiQoZhioiIiCgPGKaIiIiI8oBhioiIiCgPGKaIiIiI8oBhioiIiCgPGKaIiIiI8oBhioiIiCgPGKaIiIiI8oBhioiIiCgPGKaIiIiI8oBhioiIiCgPGKaIiIiI8oBhioiIiCgPdDRdQFElhAAAREdHa7gSIiIiyq60z+20z3F1YJjKpXfv3gEA7O3tNVwJERER5dS7d+9gbm6ulm0xTOWSpaUlAODly5dq+2YUBdHR0bC3t0dgYCDMzMw0XU6B4X5zv0sC7jf3uySIiopChQoVpM9xdWCYyiUtrffTzczNzUvUD2EaMzMz7ncJwv0uWbjfJUtJ3e+0z3G1bEttWyIiIiIqgRimiIiIiPKAYSqX9PX1MWvWLOjr62u6lALF/eZ+lwTcb+53ScD9Vt9+K4Q6zw0kIiIiKmE4MkVERESUBwxTRERERHnAMEVERESUBwxTRERERHnAMPUBXl5ecHBwgIGBAdzc3HDlypUP9t+1axdq1KgBAwMDODs748iRIwVUqXrlZL83bNiAFi1aoFSpUihVqhTc3d0/+nUqrHL6/U6zY8cOKBQK9OjRI38LzCc53e/IyEiMHz8etra20NfXh6OjY5H8Wc/pfi9fvhzVq1eHoaEh7O3tMWnSJCQmJhZQtXl39uxZdOvWDXZ2dlAoFNi/f/9HX+Pj44P69etDX18fVatWxebNm/O9TnXL6X7v3bsX7dq1Q5kyZWBmZoYmTZrg2LFjBVOsGuXm+53mwoUL0NHRQd26dfOtvvySm/1OSkrCd999h4oVK0JfXx8ODg74/fffc/S+DFNZ2LlzJzw9PTFr1iz4+fnBxcUFHTp0QGhoaKb9L168iH79+mHEiBG4ceMGevTogR49euDOnTsFXHne5HS/fXx80K9fP5w+fRq+vr6wt7dH+/btERQUVMCV501O9zvN8+fPMWXKFLRo0aKAKlWvnO53cnIy2rVrh+fPn2P37t0ICAjAhg0bUK5cuQKuPG9yut/btm3D9OnTMWvWLNy/fx8bN27Ezp078e233xZw5bkXFxcHFxcXeHl5Zav/s2fP0KVLF7Rp0wb+/v6YOHEiRo4cWeSCRU73++zZs2jXrh2OHDmC69evo02bNujWrRtu3LiRz5WqV073O01kZCQGDx6MTz75JJ8qy1+52e/evXvj1KlT2LhxIwICArB9+3ZUr149Z28sKFOurq5i/Pjx0mOlUins7OzEwoULM+3fu3dv0aVLF1mbm5ub+PLLL/O1TnXL6X7/V2pqqjA1NRVbtmzJrxLzRW72OzU1VTRt2lT89ttvYsiQIaJ79+4FUKl65XS/16xZIypXriySk5MLqsR8kdP9Hj9+vGjbtq2szdPTUzRr1ixf68wvAMS+ffs+2GfatGnCyclJ1tanTx/RoUOHfKwsf2VnvzNTq1YtMWfOHPUXVEByst99+vQR33//vZg1a5ZwcXHJ17ryW3b2++jRo8Lc3Fy8e/cuT+/FkalMJCcn4/r163B3d5fatLS04O7uDl9f30xf4+vrK+sPAB06dMiyf2GUm/3+r/j4eKSkpKj1ApL5Lbf7PXfuXFhbW2PEiBEFUaba5Wa/Dx48iCZNmmD8+PEoW7YsateujQULFkCpVBZU2XmWm/1u2rQprl+/Lh0KfPr0KY4cOYLOnTsXSM2aUBx+p6mDSqVCTExMkfqdllubNm3C06dPMWvWLE2XUmAOHjyIhg0b4qeffkK5cuXg6OiIKVOmICEhIUfb4YWOMxEWFgalUomyZcvK2suWLYsHDx5k+prg4OBM+wcHB+dbneqWm/3+r2+++QZ2dnYZfgkXZrnZ7/Pnz2Pjxo3w9/cvgArzR272++nTp/j3338xYMAAHDlyBI8fP8a4ceOQkpJSZH4B52a/+/fvj7CwMDRv3hxCCKSmpmLMmDFF6jBfTmX1Oy06OhoJCQkwNDTUUGUFa+nSpYiNjUXv3r01XUq+evToEaZPn45z585BR6fkRIOnT5/i/PnzMDAwwL59+xAWFoZx48bh3bt32LRpU7a3w5EpUptFixZhx44d2LdvHwwMDDRdTr6JiYnBoEGDsGHDBpQuXVrT5RQolUoFa2trrF+/Hg0aNECfPn3w3XffYe3atZouLV/5+PhgwYIF+PXXX+Hn54e9e/fi8OHD+PHHHzVdGuWjbdu2Yc6cOfj7779hbW2t6XLyjVKpRP/+/TFnzhw4OjpqupwCpVKpoFAosHXrVri6uqJz585YtmwZtmzZkqPRqZITP3OgdOnS0NbWRkhIiKw9JCQENjY2mb7GxsYmR/0Lo9zsd5qlS5di0aJFOHnyJOrUqZOfZapdTvf7yZMneP78Obp16ya1qVQqAICOjg4CAgJQpUqV/C1aDXLz/ba1tYWuri60tbWltpo1ayI4OBjJycnQ09PL15rVITf7/cMPP2DQoEEYOXIkAMDZ2RlxcXEYPXo0vvvuO2hpFb+/S7P6nWZmZlYiRqV27NiBkSNHYteuXUVqpD03YmJicO3aNdy4cQMeHh4A3v9OE0JAR0cHx48fR9u2bTVcZf6wtbVFuXLlYG5uLrXVrFkTQgi8evUK1apVy9Z2it9vADXQ09NDgwYNcOrUKalNpVLh1KlTaNKkSaavadKkiaw/AJw4cSLL/oVRbvYbAH766Sf8+OOP8Pb2RsOGDQuiVLXK6X7XqFEDt2/fhr+/v3T79NNPpbOe7O3tC7L8XMvN97tZs2Z4/PixFB4B4OHDh7C1tS0SQQrI3X7Hx8dnCExpgVIU08ubFoffabm1fft2DBs2DNu3b0eXLl00XU6+MzMzy/A7bcyYMahevTr8/f3h5uam6RLzTbNmzfD69WvExsZKbQ8fPoSWlhbKly+f/Q3lafp6MbZjxw6hr68vNm/eLO7duydGjx4tLCwsRHBwsBBCiEGDBonp06dL/S9cuCB0dHTE0qVLxf3798WsWbOErq6uuH37tqZ2IVdyut+LFi0Senp6Yvfu3eLNmzfSLSYmRlO7kCs53e//Kqpn8+V0v1++fClMTU2Fh4eHCAgIEIcOHRLW1tZi3rx5mtqFXMnpfs+aNUuYmpqK7du3i6dPn4rjx4+LKlWqiN69e2tqF3IsJiZG3LhxQ9y4cUMAEMuWLRM3btwQL168EEIIMX36dDFo0CCp/9OnT4WRkZGYOnWquH//vvDy8hLa2trC29tbU7uQKznd761btwodHR3h5eUl+50WGRmpqV3IlZzu938V1bP5crrfMTExonz58uLzzz8Xd+/eFWfOnBHVqlUTI0eOzNH7Mkx9wKpVq0SFChWEnp6ecHV1FZcuXZKea9WqlRgyZIis/99//y0cHR2Fnp6ecHJyEocPHy7gitUjJ/tdsWJFASDDbdasWQVfeB7l9PudXlENU0LkfL8vXrwo3NzchL6+vqhcubKYP3++SE1NLeCq8y4n+52SkiJmz54tqlSpIgwMDIS9vb0YN26ciIiIKPjCc+n06dOZ/l9N288hQ4aIVq1aZXhN3bp1hZ6enqhcubLYtGlTgdedVznd71atWn2wf1GRm+93ekU1TOVmv+/fvy/c3d2FoaGhKF++vPD09BTx8fE5el+FEMV0jJqIiIioAHDOFBEREVEeMEwRERER5QHDFBEREVEeMEwRERER5QHDFBEREVEeMEwRERER5QHDFBEREVEeMEwRERFRoXH27Fl069YNdnZ2UCgU2L9/f45eP3v2bCgUigw3Y2Pj/CkYDFNERGr17t07WFtb4/nz52rd7r1791C+fHnExcWpdbtEhU1cXBxcXFzg5eWVq9dPmTIFb968kd1q1aqFL774Qs2V/g/DFBFpxNChQzP967Fjx46aLi1P5s+fj+7du8PBwSFb/bt165blPp87dw4KhQK3bt1CrVq10LhxYyxbtkyN1RIVPp06dcK8efPQs2fPTJ9PSkrClClTUK5cORgbG8PNzQ0+Pj7S8yYmJrCxsZFuISEhuHfvHkaMGJFvNTNMEZHGdOzYMcNfkNu3b8/X90xOTs63bcfHx2Pjxo05+qU9YsQInDhxAq9evcrw3KZNm9CwYUPUqVMHADBs2DCsWbMGqampaquZqKjx8PCAr68vduzYgVu3buGLL75Ax44d8ejRo0z7//bbb3B0dESLFi3yrSaGKSLSGH19fdlfkDY2NihVqpT0vEKhwG+//YaePXvCyMgI1apVw8GDB2XbuHPnDjp16gQTExOULVsWgwYNQlhYmPR869at4eHhgYkTJ6J06dLo0KEDAODgwYOoVq0aDAwM0KZNG2zZsgUKhQKRkZGIi4uDmZkZdu/eLXuv/fv3w9jYGDExMZnuz5EjR6Cvr4/GjRtnu8auXbuiTJky2Lx5s+w1sbGx2LVrlyyYtWvXDuHh4Thz5kw2v8JExcvLly+xadMm7Nq1Cy1atECVKlUwZcoUNG/eHJs2bcrQPzExEVu3bs3XUSmAYYqICrk5c+agd+/euHXrFjp37owBAwYgPDwcABAZGYm2bduiXr16uHbtGry9vRESEoLevXvLtrFlyxbo6enhwoULWLt2LZ49e4bPP/8cPXr0wM2bN/Hll1/iu+++k/obGxujb9++GX45b9q0CZ9//jlMTU0zrfXcuXNo0KCBrO1jNero6GDw4MHYvHkz0l93fteuXVAqlejXr5/Upqenh7p16+LcuXO5+EoSFX23b9+GUqmEo6MjTExMpNuZM2fw5MmTDP337duHmJgYDBkyJH8LE0REGjBkyBChra0tjI2NZbf58+dLfQCI77//XnocGxsrAIijR48KIYT48ccfRfv27WXbDQwMFABEQECAEEKIVq1aiXr16sn6fPPNN6J27dqytu+++04AEBEREUIIIS5fviy0tbXF69evhRBChISECB0dHeHj45PlPnXv3l0MHz5c1padGu/fvy8AiNOnT0t9WrRoIQYOHJjhPXr27CmGDh2aZQ1ExQkAsW/fPunxjh07hLa2tnjw4IF49OiR7PbmzZsMr2/btq3o0aNHvtepk79RjYgoa23atMGaNWtkbZaWlrLHafOFgPcjRmZmZggNDQUA3Lx5E6dPn4aJiUmGbT958gSOjo4AkGG0KCAgAI0aNZK1ubq6Znjs5OSELVu2YPr06fjrr79QsWJFtGzZMsv9SUhIgIGBgawtOzXWqFEDTZs2xe+//47WrVvj8ePHOHfuHObOnZvhNYaGhoiPj8+yBqLirF69elAqlQgNDf3oHKhnz57h9OnTGaYG5AeGKSLSGGNjY1StWvWDfXR1dWWPFQoFVCoVgPfzirp164bFixdneJ2tra3sfXJj5MiR8PLywvTp07Fp0yYMGzYMCoUiy/6lS5dGRESErC27NY4YMQITJkyAl5cXNm3ahCpVqqBVq1YZXhMeHo4qVarkan+IioLY2Fg8fvxYevzs2TP4+/vD0tISjo6OGDBgAAYPHoyff/4Z9erVw9u3b3Hq1CnUqVMHXbp0kV73+++/w9bWFp06dcr3mjlnioiKrPr16+Pu3btwcHBA1apVZbcPBajq1avj2rVrsrarV69m6Ddw4EC8ePECK1euxL179z4676JevXq4d+9ermrs3bs3tLS0sG3bNvzxxx8YPnx4psHtzp07qFev3gfrICrKrl27hnr16kk/556enqhXrx5mzpwJ4P3cxcGDB2Py5MmoXr06evTogatXr6JChQrSNlQqFTZv3oyhQ4dCW1s7/4vO9wOJRESZGDJkiOjYsaN48+aN7Pb27VupD/4zX0IIIczNzcWmTZuEEEIEBQWJMmXKiM8//1xcuXJFPH78WHh7e4uhQ4eK1NRUIcT7OVNff/21bBtPnz4Vurq6Ytq0aSIgIEDs3LlTlC9fXgAQkZGRsr79+/cXenp6omPHjh/dp1u3bgkdHR0RHh4utWWnxjQjRowQpUqVEtra2iIoKCjD9p89eyYUCoV4/vz5R2shooLDkSki0hhvb2/Y2trKbs2bN8/26+3s7HDhwgUolUq0b98ezs7OmDhxIiwsLKCllfWvt0qVKmH37t3Yu3cv6tSpgzVr1khn8+nr68v6jhgxAsnJyRg+fPhH63F2dkb9+vXx999/56rGESNGICIiAh06dICdnV2G7W/fvh3t27dHxYoVP1oLERUchRDpzsUlIiqh5s+fj7Vr1yIwMFDW/ueff2LSpEl4/fo19PT0Prqdw4cPY+rUqbhz584HA11OJScno1q1ati2bRuaNWumtu0SUd5xAjoRlUi//vorGjVqBCsrK1y4cAFLliyBh4eH9Hx8fDzevHmDRYsW4csvv8xWkAKALl264NGjRwgKCoK9vb3a6n358iW+/fZbBimiQogjU0RUIk2aNAk7d+5EeHg4KlSogEGDBmHGjBnQ0Xn/N+bs2bMxf/58tGzZEgcOHMh0aQMiIoBhioiIiChPOAGdiIiIKA8YpoiIiIjygGGKiIiIKA8YpoiIiIjygGGKiIiIKA8YpoiIiIjygGGKiIiIKA8YpoiIiIjy4P8A20Ovu6a7EfEAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "E,coeffs=coefficientReader('data/H2_legendre.dat')\n", "\n", "style=['k-','k--','k-.','k:','lightgray']\n", "\n", "plt.figure()\n", "for i in range(4):\n", " plt.plot(E,(2*(i+1)+1)*coeffs[:,i],style[i],label='$l={}$'.format(i+1)) #2l+1 multiplier in the coefficient!\n", "plt.xlabel('Energy (eV)')\n", "plt.ylabel(r'$(2l+1)\\omega_l^c$')\n", "plt.xlim(0,16e6)\n", "plt.legend()\n", "plt.show()\n", "\n", "plt.figure()\n", "for i in range(4):\n", " plt.plot(E,coeffs[:,i],style[i],label='$l={}$'.format(i+1))\n", "plt.xlabel('Energy (eV)')\n", "plt.ylabel(r'$\\omega_l^c$')\n", "plt.xlim(0,16e6)\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us investigate the coefficients for an other nuclide as well, Iron-55. We have also downloaded the coefficients for this nuclide, and are places into 'data/Fe55_legendre.dat'." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "E,coeffs=coefficientReader('data/Fe55_legendre.dat')\n", "\n", "style=['k-','k--','k-.','k:','lightgray']\n", "\n", "plt.figure()\n", "for i in range(4):\n", " plt.plot(E,(2*(i+1)+1)*coeffs[:,i],style[i],label='$l={}$'.format(i+1)) #2l+1 multiplier in the coefficient!\n", "plt.xlabel('Energy (eV)')\n", "plt.ylabel(r'$(2l+1)\\omega_l^c$')\n", "plt.xlim(0,16e6)\n", "plt.legend()\n", "plt.show()\n", "\n", "plt.figure()\n", "for i in range(4):\n", " plt.plot(E,coeffs[:,i],style[i],label='$l={}$'.format(i+1))\n", "plt.xlabel('Energy (eV)')\n", "plt.ylabel(r'$\\omega_l^c$')\n", "plt.xlim(0,16e6)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is your conclusion? In terms of isotropy for higher than 1 MeV neutron energies? Is $\\bar\\mu_c$ typically positive or negative?\n", "\n", "> **Conclusion:** For Deuterium, we see that some of the coefficients actually are negative ($\\omega_{1,3}^c$). So there is actually some backward scattering bias. As we go above 1 MeV, the overall contribution from all coefficients seems positive. With Fe-55, the story is different. Above 1 MeV there is only forward bias, and the magnitude of the coefficients is also higher than with Deuterium. Again, overall $\\bar\\mu_c$ seems positive like with Deuterium. At least our approximation in the beginning, $\\bar\\mu_c = 0.07A^{2/3}E$ captures this, since it is strictly positive and growing with energy, so even if not all coefficients are always positive, $\\bar\\mu_c$ seems to be for Deuterium and Fe-55." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reconstructing the angular distribution\n", "\n", "We are familiar now with the Legendre polynomials and with the coefficients, so let's reconstruct the distribution. We are going to do this for yet an other nuclide, Cu-63, mostly because its distribution will show some interesting structure, and because we can compare it with the results at LANL's T2. The data is in file `data/Cu63_legendre.dat`, and is accessed from ENDF/B-VIII.\n", "\n", "We have implemented parts of `reconstructAngularDistribution()` to perform the reconstruction. The function has an option to plot (if parameter `plot=True`) the distribution and its components. If parameter `single=True`, the components are plotted, otherwise the sum of the components up to the given order are plotted (ie. with this option one is able to see how the distribution converges to its final shape by adding higher and higher orders). Let's define this function." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def reconstructAngularDistribution(coeffs,N=100,plot=False,single=False,out=None):\n", " \"\"\"\n", " Function to reconstruct angular distribution from the coefficients.\n", " \n", " Parameters\n", " ----------\n", " coeffs : list\n", " List of Legendre coefficient in increasing order\n", " N : int\n", " Number of cosine values where the distribution is evaluated at. Default: N=100\n", " plot : bool\n", " Option for plotting. If True the angular distribution is visualized. Default: plot=False\n", " single : bool\n", " Option for plotting. If True, the various orders is plotted. If false, the sum of the various\n", " orders is plotted. Default: single=False.\n", " \"\"\"\n", " from scipy.special import eval_legendre\n", " mu=np.linspace(-1,1,N)\n", " f=np.ones(N)*0.5 #omega_0^c=1, therefore (2l+1)/2*omega=1/2\n", " if plot:\n", " # plt.figure()\n", " plt.plot(mu,f,label='$l=0$')\n", " for li,cf in enumerate(coeffs):\n", " if li == 0:\n", " continue\n", " term = ((2*li+1)/2 * cf * eval_legendre(li, mu))\n", " f += term\n", " \n", " if plot and cf != 0.: #do not plot for coefficients which are zero.\n", " if single:\n", " plt.plot(mu, term, label=f'$l={li}$')\n", " else:\n", " plt.plot(mu, f, label=f'$l={li}$')\n", " if plot:\n", " plt.plot(mu,f,'k',lw=2,label='total')\n", " plt.legend(bbox_to_anchor=(1, 1))\n", " plt.xlabel('$\\\\mu_c$')\n", " plt.ylabel('Angular distribution')\n", " if out is not None:\n", " plt.savefig(out,dpi=300)\n", " plt.show()\n", " return mu,f" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now we will test it at E=1.8 MeV. This is the 70th row (with python indexing) in the list of coefficients." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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3+jsOJx7GTe/GWy3esmWIopSSBFIIIYSooH796VeS01MAaB5Wl8AG9a3u40bWDWZGzQRgRMQIfF19bRmiKKUkgRRCCCEqqOkffGx5/FLfwtV+nBk1k5ScFOpWrssz9Z6xVWiilJMEUgghhKiAkpKS2Bm9FwB3F1f6vjva6j4MVw38EPMDAGPvG4uDVvYnqSgkgRRCCCEqoK/mzCfXpG5d2KVhM5ysrP2Ya87lg78/AODxWo8T4Rdh6xBFKWbXBHL79u307NmToKAgNBoN69atu+vx33//PV26dMHX15dKlSrRunVrNm7cWDLBCiGEEOXIgvnzLY/ffO9Nq89fcXwFJ2+exNPJk9ebv27DyERZYNcEMj09nfDwcObMmVOg47dv306XLl349ddfiYqKomPHjvTs2ZODBw8Wc6RCCCFE+RETE8PJC2cAqFrFnzaPPWbV+fHp8cw2zAZgZPOReDtbv1+zKNvserNCt27d6NatW4GPnzlzZp7nU6ZM4ccff+Snn36iadOmNo5OCCGEKJ8+mTDV8rjPAx2trv348d6PyczNJMI3gl61etk4uopp1KhRxMTE3HM2trQo0/dAms1mUlNT8fa+818+2dnZpKSk5PkSQgghKiqz2cx3v6gLXzQaDW9M+8Cq87dd3MamC5vQaXSMaz0OraZMpxKlhsFgICIiwiZ9ffHFFzRp0oRKlSpZbvnbsGGDTfr+V5n+v/7pp5+SlpZG796973jM1KlT8fT0tHyFhISUYIRCCCFE6fLnpj+5nnwTgPBqdQiuWbPA52bmZjJ1rzp62b9Bf+pUrlMsMVZE0dHRNksgg4OD+eijj4iKimL//v08+OCDPPbYYxw9etQm/UMZTiBXrFjBpEmTWL16NX5+fnc8bsyYMSQnJ1u+Ll68WIJRCiGEEKXLx+PetzweNvA5q86df2g+l9IuEeAWwLDwYbYOrcKKi4sjMTGR8PBwm/TXs2dPunfvTu3atalTpw4ffvgh7u7u/P333zbpH+x8D2RhrVy5kiFDhrBmzRo6d+5812OdnJxwcnIqociEEEKI0is5OZltB3YD4OrkQv+3C776+kzSGZYcWQLAmFZjcNVbV/anpCmKgpKZaZdra1xcrLqv1GAw4OnpSfXq1fO0T5kyhSlTptzhLNWxY8cIDQ294+smk4k1a9aQnp5O69atCxzTvZS5BPLbb79l8ODBrFy5kh49etg7HCGEEKLM+GLGHIy5RgAeahqJi4tLgc4zK2Ym755MrpJLh+AOPBj6YHGGaRNKZiYnmzW3y7XrHohCY0VdTYPBkO/o47Bhw+56mx5AUFBQvu2HDx+mdevWZGVl4e7uzg8//ECDBg0KHNO92DWBTEtLIyYmxvL87NmzGAwGvL29CQ0NZcyYMVy6dIlly5YB6rT1gAEDmDVrFpGRkcTHxwPg4uKCp6enXd6DEEIIUVYsXHCr9uOYjycX+LwfTv/AgasHcHFw4d3Id4sjtArtTgmkt7f3XRcK303dunUxGAwkJyezdu1aBgwYwLZt22yWRNo1gdy/fz8dO3a0PB85ciQAAwYMYMmSJVy5coULFy5YXp8/fz65ubkMHz6c4cOHW9r/PV4IIYQQ+Tt06BBnLp8HoJpfEK3a31+g8xIzE/ks6jMARkSMINA9sNhitCWNiwt1D0TZ7drWMBgMdO/e/bb2okxhOzo6UqtWLQCaN2/Ovn37mDVrFl9++aVVsd2JXRPIDh06oCjKHV///0nh1q1bizcgIYQQopz68K0JlseDn366wOd9uv9TUnNSqe9dn2frP1scoRULjUZj1TSyvaSmphIbG5vvCuyiTGH/f2azmezs7MKEmK8ydw+kEEIIIayTk5PDr3/9AYCDzoERk8cX6Lxdl3fxS+wvaDVaJrSegINW0gZbi46ORqfT0bBhw9teK+wU9pgxY+jWrRuhoaGkpqayYsUKtm7datPtn+UnQQghhCjnViz5mrTMdADa1o8oUFKSlZvF+7vVkj996/Wloc/tCY4oOoPBQL169WxaMebq1av079+fK1eu4OnpSZMmTdi4cSNdunSx2TUkgRRCCCHKuf9+Mt3y+O3J7xXonPmH5hOXFoefqx8jIkYUV2gV3ogRIxgxwrbf36+++sqm/eWnzBYSF0IIIcS9xcXFYThzDACfSpV5+LFH73nOqZunWHxkMQDvRr6Lu6N7scYoyh5JIIUQQohy7KPRkywLVnt3ewSt9u4f/SaziUm7JpGr5NIxpCOdQjuVRJiijJEEUgghhCinzGYzq3/9AQANGkZP++Ce56w6uYpDiYdw07vxXmTBprtFxSMJpBBCCFFO/bruF64lXQcgvEbdu255BxCfHs+sA7MAeL3Z6/i7+Rd7jKJskgRSCCGEKKemjJtoeTzqvbfveqyiKHz494dk5GYQ4RtB77p3rz8oKjZJIIUQQohyKD4+nj0nDABUcvOg9/PP3fX4P87/wda4rThoHZjYZiJajaQI4s7kp0MIIYQoh6a8OQ6z2QzA0w8/gl6vv+OxydnJTN07FYAhjYdQ06tmicQoyi5JIIUQQohyxmw2s/KXHyzP3/vkw7sePyNqBomZiYRVCmNI4yHFHZ4oBySBFEIIIcqZH1d9x7VkdfFMRM36VK9e/Y7H7r2yl+9OfwfAxDYTcdLZbkcUUX5JAimEEEKUM9MmT7U8fnvCmDsel5mbycTdEwHoU7cPzf2bF3doopyQBFIIIYQoRy5fvszeU9EAeLp58NQzz9zx2LmGuVxMvYi/qz+vN3u9hCIU+Rk1ahS9evWydxgFJgmkEEIIUY58+Oo7lsUzvXv2uuPimaOJR1l2bBkA41uPl+0K7cxgMBAREWHzfj/66CM0Gg2vv/66TfuVBFIIIYQoJ8xmM6s3/QyoO8+MmTIp3+OMZiPjd43HrJjpVr0b7YPbl2SYIh/R0dE2TyD37dvHl19+SZMmTWzaL0gCKYQQQpQb3y9bQWLyTQAi6jS44+KZxUcWc+rmKbycvHin1TslGaLIR1xcHImJiYSHh9usz7S0NPr168eCBQuoXLmyzfr9lySQQgghRDkx7cNplsdvjX8332Nik2KZFz0PgNGtRuPt7F0isZU0RVEwZpvs8qUoilWxGgwGPD09b0v4p0yZgru7+12/Lly4kG+fw4cPp0ePHnTu3LnQ38O7cSiWXoUQQghRos6ejmH/mSMAeLlX4qneT992jMlsYtyucRjNRu6vej89qvco6TBLTG6OmfmvbbPLtV+c9QB6J12BjzcYDPmOPg4bNozeve++pWRQUNBtbStXruTAgQPs27evwDFYSxJIIYQQohwY95+RlpGv/n375bt45pvj33Do2iHc9e6Mbz0ejUZT0mGKfNwpgfT29sbb27oR4osXL/Laa6/xxx9/4OzsbKsQbyMJpBBCCFHGZWdns37PnwBotVremTTutmMupFzg84OfA/BmizcJcAso0RhLmoOjlhdnPWC3a1vDYDDQvXv329qnTJnClClT7nrusWPHCA0NtTyPiori6tWrNGvWzNJmMpnYvn07s2fPJjs7G52u4KOjdyIJpBBCCFHGzR33IakZ6QC0bxpJYGBgntfNipnxu8aTZcoiMjCSJ2s/aY8wS5RGo7FqGtleUlNTiY2NzXcFdmGmsDt16sThw4fztA0aNIh69eoxevRomySPIAmkEEIIUeZ98fUyy+Px+ex7vfrkaqISonBxcGFi64kydV2KREdHo9PpaNiw4W2vFWYK28PDg0aNGuVpc3Nzo0qVKre1F4WswhZCCCHKsJ0bfuf0lfMAhPgF0aFDhzyvX0q7xPSo6QC83ux1gj2CSzpEcRcGg4F69erh5FS29iCXEUghhBCiDJs8ZqLl8SuvvZpndFFRFCbtmkRmbibN/JrxTL07b2so7GPEiBGMGDGiWK+xdetWm/cpI5BCCCFEGXU9Pp4tR/cD4OzoxLBXXs7z+trTa9l9ZTdOOicmtZmEViMf+8I25CdJCCGEKKM+fPltjLlGAB57qDseHh6W1y6nXebTfZ8C8GrTVwnzDLNHiKKckgRSCCGEKINMJhMrtmywPB//8QeWx4qiMH7XeDJyM2jq15R+9fvZI0RRjkkCKYQQQpRBKz6aQUJSIgBNatanQYMGltfWnFrDnit7cNY5837b99FpS385G1G2SAIphBBClEGfLlhgefzu5FuFwy+lXeKz/Z8B8GqzV6lWqVqJxybKv0Ktwt68eTObN2/m6tWrmM3mPK8tWrTIJoEJIYQQIn9RG37n0PlTAPh6efNUH7XYtKIoTNg5gYzcDJr5NZOpa1FsrE4gJ02axOTJk2nRogWBgYFSjFQIIYQoYePGTLI8fnnYS5bdRVadXMWeeHXqenLbybLqWhQbqxPIefPmsWTJEp5//vniiEcIIYQQd3Ht3Dk2H9sHgJPekddHjwLgYspFS8Hw15q9JlPXolhZ/adJTk4Obdq0KY5YhBBCCHEPE//zJjlGtXRPr66P4OXlhclsYuzOsWTmZtIyoCXP1n/WzlGK8s7qBHLIkCGsWLGiOGIRQgghxF0YMzJYuftPy/NJn04B4OvjX3Pg6gFcHVx5v+37MnUtip3VU9hZWVnMnz+fTZs20aRJE/R6fZ7Xp0+fbrPghBBCCHHLl6PGcyM1CYCWDSKoW7cusUmx/PfAfwF4q+VbVHWvascIRWGNGjWKmJgY1q1bZ+9QCsTqBPLQoUNEREQAcOTIkTyvyYIaIYQQongoisLsH7+3PJ/w8fvkmnN5d8e75JhzaFu1LU/WftKOEYqiMBgMtGvXziZ9TZw4kUmTJuVpq1u3LidOnLBJ/1CIBHLLli02u7gQQgghCmbL/CWcvHwWgCCfALr36MH8Q/M5ev0oHo4eTGo9SQZyyrDo6GhGjBhhs/4aNmzIpk2bLM8dHApVufGOitRbXFwcAMHBwTYJRgghhBD5mzxjtuXx62+8xvEbx5kXPQ+AMa3G4O/mb6/QSiVFUcjNzrbLtR2cnKxK5uPi4khMTCQ8PNx2MTg4EBAQYLP+buvf2hPMZjMffPABn332GWlpaQB4eHjw5ptv8t5776HVyo27QgghhC2d/nMrO05HA+Dm7MoLI15k8J+DyVVy6VKtC4/UeMTOEZY+udnZ/HfAU3a59qtL16J3di7w8QaDAU9PT6pXr56nfcqUKUyZMuWu5x47dozQ0NDb2k+fPk1QUBDOzs60bt2aqVOn5ntcYVmd7b333nvMnj2bjz76iIMHD3Lw4EGmTJnC559/zrhx4+7dwf/Yvn07PXv2JCgoCI1GU6AbR7du3UqzZs1wcnKiVq1aLFmyxNq3IIQQQpQp7709CZPZBMDzffqy8ORCziSfoYpzFcbdN06mrss4g8GQ7+jjsGHDMBgMd/0KCgq67bzIyEiWLFnCb7/9xhdffMHZs2e5//77SU1NtVnMVo9ALl26lIULF/Loo49a2po0aULVqlV5+eWX+fDDDwvcV3p6OuHh4QwePJgnnnjinsefPXuWHj16MGzYML755hs2b97MkCFDCAwMpGvXrta+FSGEEKLUSzx+gl+O7AHAQaej5+tPMDp6NACT206msnNle4ZXajk4OfHq0rV2u7Y17pRAent74+3tbfX1u3XrZnncpEkTIiMjqVatGqtXr+aFF16wur/8WJ1A3rhxg3r16t3WXq9ePW7cuGFVX926dcvzJu9l3rx5VK9enc8+UzeJr1+/Pjt27GDGjBl3TCCzs7PJ/p97IFJSUqyKUQghhLCn918ZQ0Z2JgAPtX+QGTEzAHiqzlO0D25vz9BKNY1GY9U0sj0ZDAa6d+9+W3tRprD/l5eXF3Xq1CEmJqZIcf4vq6eww8PDmT179m3ts2fPtunNn/nZvXs3nTt3ztPWtWtXdu/efcdzpk6diqenp+UrJCSkWGMUQgghbCXr2jW+2bfN8rzqgDDi0+MJ8QjhrRZv2TEyYSupqanExsZaSiT+r8JOYf9/aWlpnDlzhsDAQJvFbfUI5LRp0+jRowebNm2idevWgJrYXbx4kV9//dVmgeUnPj4ef/+8q8z8/f1JSUkhMzMTFxeX284ZM2YMI0eOtDxPSUmRJFIIIUSZMPvVd7mechOAiPoN2c1utBotU9pNwVXvaufohC1ER0ej0+lo2LDhba8Vdgp71KhR9OzZk2rVqnH58mUmTJiATqejb9++tggZKEQC+cADD3Dq1CnmzJljKUj5xBNP8PLLLxcoCy5pTk5OOFl5L4IQQghhb6aMDOb++Zvlee5j6kKZwY0GE+EXYaeohK0ZDAbq1atn01wlLi6Ovn37cv36dXx9fWnXrh1///03vr6+NrtGoepABgUFWbVYxlYCAgJISEjI05aQkEClSpXyHX0UQgghyqq1E6Zw9uo/9ZYDAlHqKjSs0pCXw1+2c2TClkaMGGHTAuIAK1eutGl/+SlQAnno0CEaNWqEVqvl0KFDdz22SZMmNgksP61bt75tmvyPP/6wTKULIYQQ5YFiNPLJ2lvbFrp0d8XFwYWp909Fr9PbMTIhVAVKICMiIoiPj8fPz4+IiAg0Gg2Kotx2nEajwWQyFfjiaWlpeVYEnT17FoPBgLe3N6GhoYwZM4ZLly6xbNkyQL2ZdPbs2bz99tsMHjyYP//8k9WrV/PLL78U+JpCCCFEabdz9jyizh0HwMvDE8c2zoxqMYoanjXsHJkQqgIlkGfPnrXMm589e9ZmF9+/fz8dO3a0PP93scuAAQNYsmQJV65c4cKFC5bXq1evzi+//MIbb7zBrFmzCA4OZuHChVIDUgghRLmhmM2Mn7fE8jzgQV/aV2tP77q97ReUEP9PgRLIatWqWR6fP3+eNm3a3LYpd25uLrt27cpz7L106NAh35HMf+W3y0yHDh04ePBgga8hhBBClCVHlq9gW4wBABdnZ7x7+TG57WTZbUaUKlbXgezYsWO+BcOTk5PzjCYKIYQQwjqKovDep3Mwm80AVG8XwgcPfoCPi4+dIxMiL6sTSEVR8v0r6Pr167i5udkkKCGEEKIiOrd+PRtPRgGgd9DzyBuP0zFUBmdE6VPgMj7/7lWt0WgYOHBgnnpFJpOJQ4cO0aZNG9tHKIQQQlQAiqIwdtJ0coxGABq3rsfEhybaNygh7qDACaSnpyeg/oB7eHjkqbvo6OjIfffdx9ChQ20foRBCCFEBXN22jXXH9wGg1Wr5+L/TcXGQGseidCpwArl48WIAwsLCGDVqlExXCyGEEDY0bvQHZGRlAtC6VQs6R3S2c0RC3JnVO9FMmDChOOIQQgghKqyre/9mzbF9ludz5y+wYzRC3JvVCWT16tXvWkogNja2SAEJIYQQFc3k194hKS0FgNYRLWnSuPh2dROl06hRo4iJiWHdunX2DqVArE4gX3/99TzPjUYjBw8e5LfffuOtt96yVVxCCCFEhbD9jyWsOXHU8vzT2TPtF4ywG4PBQLt27WzW36VLlxg9ejQbNmwgIyODWrVqsXjxYlq0aGGT/q1OIF977bV82+fMmcP+/fuLHJAQQghRUVzLuMY34+ZyNSkRgPA6DWnTViqaVETR0dGMGDHCJn3dvHmTtm3b0rFjRzZs2ICvry+nT5+mcuXKNukfCpFA3km3bt0YM2aMZbGNEEIIIe7MrJj57Jvh/HTqvKXtszkz7RdQOaMoCorRbJdra/Raq3YOiouLIzExkfDwcJtc/+OPPyYkJCRPTla9enWb9P0vmyWQa9euxdvb21bdCSGEEOXaoiOLSF54lis3rwLQqGY9OnWWlde2ohjNXB6/yy7XDprcBo2jrsDHGwwGPD09b0vypkyZwpQpU+567rFjxwgNDc3Ttn79erp27crTTz/Ntm3bqFq1Ki+//LJNyy1anUA2bdo0T1atKArx8fFcu3aNuXPn2iwwIYQQoryKvhbNT7/MIurMNUvbtFmf2TEiYU8GgyHf0cdhw4bRu3fvu54bFBR0W1tsbCxffPEFI0eO5N1332Xfvn28+uqrODo6MmDAAJvEbHUC2atXrzzPtVotvr6+dOjQgXr16tkkKCGEEKK8SslJYfT20dT40ZH11xMAqBdWi4e7d7NzZOWLRq8laLJ97ifV6K3bKfpOCaS3t3ehZnfNZjMtWrSwjF42bdqUI0eOMG/ePPslkFIHUgghhCgcRVGYuGsiupiL/BKTZGmfNuNTq+6ZE/em0Wismka2J4PBQPfu3W9rL+wUdmBgIA0aNMjTVr9+fb777ruiB/uPQt0DaTKZ+OGHHzh+/DgADRo04LHHHsPBwWa3VAohhBDlzuqTq/nj/B90XO/Er4mXAagVUp1HHnvUzpEJe0lNTSU2NpaIiIjbXivsFHbbtm05efJknrZTp05RrVq1IsX6v6zO+I4ePUrPnj1JSEigbt26gLrax9fXl59++olGjRrZLDghhBCivDhx4wTT9k0j7LKZn2Nu3fv40acfy+hjBRYdHY1Op6Nhw4a3vVbYKew33niDNm3aMGXKFHr37s3evXuZP38+8+fPt0XIAFg3SQ8MGTKERo0aERcXx4EDBzhw4AAXL16kSZMmvPjiizYLTAghhCgv0o3pvLXtLXLMOTTZUJmzV+MAqB4UwhNPP2Xn6IQ9GQwG6tWrh5OTk836bNmyJT/88APffvstjRo14v3332fmzJn069fPZtfQKIqiWHOCi4sL+/fvvy1TPnLkCC1btiQzM9NmwRWHlJQUPD09SU5OplKlSvYORwghRDmnKApjdozhl9hfuO+aF5s+Ocu5q5cA+Hb5Nzzz3LN2jrBsuNvnd1ZWFmfPnqV69eo4OzvbKcKyz5rvo9UjkHXq1CEhIeG29qtXr1KrVi1ruxNCCCHKtR9ifuCX2F/QaXSE/eRqSR6rVw2lT7++do5OiMIpUAKZkpJi+Zo6dSqvvvoqa9euJS4ujri4ONauXcvrr7/Oxx9/XNzxCiGEEGXGyRsnmbJHXUU7RvsI844esrz26YzP5N5HUWYVaBGNl5fXbcXDe/fubWn7dxa8Z8+emEymYghTCCGEKFvSjemM2jaKbFM27YLacnrSfuKuxwNQJ7Qmjz/1pJ0jFKLwCpRAbtmypbjjEEIIIcoNRVGYtGsS51LO4e/qz3u53Wh17NZC0+mzZ8rooyjTCpRAPvDAA8UdhxBCCFFurDm1hg3nNuCgceDT+6fxZa/Rlj2vG9SoQ/dHetg5wmKSmQTR34JHIDTsZe9oRDEqUAJ56NAhGjVqhFar5dChQ3c9tkmTJjYJTAghhCiLjl0/xkd7PwLg9eavE7L/MvNPHLS8PuuL2eVv9DHhKOxdAIdWgTED/BpCg8egvL1PYVGgBDIiIoL4+Hj8/PyIiIhAo9GQX/UfjUYj90AKIYSosFJyUhi1bRRGs5EOIR14vnZfxvTvytXk6wCE12lI54e62DlKGzEZ4fhPsG8hnN95q923PrQcDGYT6GSHuvKqQP9nz549i6+vr+WxEEIIIfJSFIWxO8ZyMfUiQW5BfND2A+K/XcXC0wbLMZ8vmGu/AG0lNR6ilqhfqVfUNo0O6j8CLYdCWDsZeawACpRA/rt3otFoZNKkSYwbN47q1asXa2BCCCFEWbL46GK2XNyCXqtnesfpeJj0jP7sS26kJgHQslFT7m/f3r5BFpaiwIXd6jT18fVgzlXb3fyg+UBoMQgq3b4nsyi/rBpb1uv1fPfdd4wbN6644hFCCCHKnH3x+5h1YBYAYyLH0LBKQ2Kmz+DrGPXeRw0a5i1daM8QCycnHQ6tVqepE47cag+5D1oNhfqPgoOj/eITdmP1zQm9evVi3bp1vPHGG8URjxBCCFGmXM24ylvb3sKsmHm05qM8Vfspcm/eZOyClaRnZgDwULsONGvWzM6RWuH6Gdj3FRz8GrKT1TYHF2jyNLQcAoHh9o2vHBo1ahQxMTGsW7fO3qEUiNUJZO3atZk8eTI7d+6kefPmuLm55Xn91VdftVlwQgghRGlmNBt5a9tbXM+6Tu3KtRl731g0Gg1Hpn3GD2fU0UedVsfcsjD6aDbB6T9g73w4s/lWe+XqatLYtB+4VLZffOWcwWCgXbt2NukrLCyM8+fP39b+8ssvM2fOHJtcw+oE8quvvsLLy4uoqCiioqLyvKbRaCSBFEIIUWHMjJrJgasHcNe7M6PDDFwcXMiJu8SY7zaQYzQC0Lvn49SoUcPOkd5Fxg04uFwdcUz6N+nQQO2H1Gnqmp1AW6Cdj0URREdHM2LECJv0tW/fvjxVcY4cOUKXLl14+umnbdI/FCKBlFXYQgghBPx29jeWHVsGwPtt36daJXXB6e5J7/P7GQMATnpHZnw5214h3t3lg7B3IRxZC7lZapuzFzR7Hlq8AN5le7GsoigY/0niS5per7eq1mdcXByJiYmEh9vm1oB/K+f866OPPqJmzZo23RjG6gRy8uTJjBo1CldX1zztmZmZfPLJJ4wfP95mwQkhhBCl0embpxm/S/28G9xoMJ2rdQYg69gx3t28E7PZDMCLAwfj7+9vtzhvk5sNR9fBvgUQt+9We0BjaPUiNHoKHF3veHpZYjQamTJlil2u/e677+LoWPDFRQaDAU9Pz9sq3EyZMuWe7+HYsWOEhobe8fWcnBy+/vprRo4cadMC9lYnkJMmTWLYsGG3JZAZGRlMmjRJEkghhBDlWmpOKm9sfYPM3EwiAyN5pekrgDri9cvb49h1Vl2t7O7qxgeffmzPUG9JjoP9iyBqKWQkqm1avbrdYMuhENJKajfakcFgyHf0cdiwYfTu3fuu5wYF3b180rp160hKSmLgwIFFCfE2VieQiqLkm8FGR0fj7e1tk6CEEEKI0sismHl3x7ucTzlPgFsA09pPw0GrfpSm/rmF8QcNlmPffuNNKlWqZKdIUWs3nt2m1m48+Sso6qgoHkHQYjA06w8epWh01Mb0ej3vvvuu3a5tjTslkN7e3kXOrb766iu6det2z0TTWgVOICtXroxGo0Gj0VCnTp08SaTJZCItLY1hw4bZNDghhBCiNFl4eCFbL27FUevIzA4z8XZWP9wVo5EF733IscuxAPhV9uHtcfZJXshKUfek3rsAEk/eag+7X10UU7dHhdhiUKPRWDWNbE8Gg4Hu3bvf1l7UKezz58+zadMmvv/+e5vE+b8K/BM0c+ZMFEVh8ODBTJo0CU9PT8trjo6OhIWF0bp1a5sHKIQQQpQGf8X9xeyD6oKY9+57j4Y+DS2vXf1mBZ+eOmx5/tn0T3FycirZAK+dVJPG6G8hJ01tc3SH8GfUMjx+9Us2HlEgqampxMbGEhERcdtrRZ3CXrx4MX5+fvTo0aOoYd6mwAnkgAEDAKhevTpt27bFwaH8//UihBBCAJxPOc/ov0ajoPBk7Sd5ovYTltdMKSl8+NmXxN+8BkD96nXoN6B/yQRmyoVTG9TajWe332qvUlsdbQzvC852nEYX9xQdHY1Op6Nhw4a3vVaUKWyz2czixYsZMGBAseRsVvfo4eHB8ePHady4MQA//vgjixcvpkGDBkycOLHMDBcLIYQQBZFuTOe1P18jNSeVcN9w3o3MOzV9ZsZMFp85ZHm+cPkim652zVfaNTiwFPYvhpQ4tU2jhbrd1cSx+gOyKKaMMBgM1KtXz+Yj1ps2beLChQsMHjzYpv3+y+rKoP/5z384deoUALGxsfTp0wdXV1fWrFnD22+/bXUAc+bMISwsDGdnZyIjI9m7d+9dj585cyZ169bFxcWFkJAQ3njjDbKysqy+rhBCCHEvZsXMezve40zyGXxdfJnRYQaOulsDJTlxcYxZsZ60zHQAurR5gDZt2xZPMIoCF/fCd0NhRgP48301eXStAu1GwmuH4JlvoEYHSR7LkBEjRnD48OF7H2ilhx56CEVRqFOnjs37hkKMQJ46dcoyT79mzRoeeOABVqxYwc6dO3nmmWeYOXNmgftatWoVI0eOZN68eURGRjJz5ky6du3KyZMn8fPzu+34FStW8M4777Bo0SLatGnDqVOnGDhwIBqNhunTp1v7VoQQQoi7WnBoAZsvbEav1TOj4wx8XfMWaN47diLr/yka7qBzYMGKpbYPwpgJR75Tp6mvRN9qr9pCHW1s0Av0zra/rhB3UagyPv8WSN20aROPPPIIACEhISQmJlrV1/Tp0xk6dCiDBg0CYN68efzyyy8sWrSId95557bjd+3aRdu2bXn22WcBda/Hvn37smfPHmvfhhBCCHFX2+O2M8eg7hv8XuR7hPvmLbOS/vceRm/7m9x/towb+Ew/qlWrZrsAbp5Ttxc8uBwyb6ptOido/JS6KKZqM9tdSwgrWZ1AtmjRgg8++IDOnTuzbds2vvjiC0Dd4tCaavs5OTlERUUxZswYS5tWq6Vz587s3r0733PatGnD119/zd69e2nVqhWxsbH8+uuvPP/883e8TnZ2NtnZ2ZbnKSkpBY5RCCFExRSbFMvo7eqimd51evNknSfzvK7k5rLmrbHsOncUUIuGfzpnVtEvbDbDmT/VnWJObQQUtd0rVN1esOnz4Fal6NcRooisTiBnzpxJv379WLduHe+99x61atUCYO3atbRp06bA/SQmJmIymW5LOv39/Tlx4kS+5zz77LMkJibSrl07FEUhNzeXYcOG3bVQ6NSpU5k0aVKB4xJCCFGxJWcn88qfr5BmTKOZXzPeaXX7jFjiypVMPHnM8nz8u+/lKW9ntcybYFgB+xbCjdhb7TUfVLcYrP0QaHWF718IG7M6gWzSpEm+N3t+8skn6HTF+8O9detWpkyZwty5c4mMjCQmJobXXnuN999/n3HjxuV7zpgxYxg5cqTleUpKCiEhIcUapxBCiLIp15zLW9ve4kLqBQLdApneYTp6Xd5dRUxJSXz80RzOX7sMQFhgCCPfsX4RKQDxh9XajYfXgDFDbXPyhIhn1Wlqn1pFeTtCFBubFQZydrbuBl4fHx90Oh0JCQl52hMSEggICMj3nHHjxvH8888zZMgQABo3bkx6ejovvvgi7733Hlrt7YvKnZycSr6YqxBCiDJpetR0dl/ZjYuDC/998L9Ucbl9uvjUR9P4MvbWQMqiZUusG0DJzYHj69XRxgv/c8uWX0N1UUyT3uDoVpS3IUSxK1AC6e3tzalTp/Dx8bFsaXgnN27cKNCFHR0dad68OZs3b6ZXr16AWvRy8+bNjBgxIt9zMjIybksS//1HqyhKga4rhBBC5OfHmB9Zfmw5AO+3fZ963vVuOybr5Cne+u43S9mezq0foGPnBwt2gZQrELUYopZA2j+DJ1oHqN9TnaYObS3ld0SZUaAEcsaMGXh4eABYVabnXkaOHMmAAQNo0aIFrVq1YubMmaSnp1tWZffv35+qVasydepUAHr27Mn06dNp2rSpZQp73Lhx9OzZs9inz4UQQpRfhqsGJu1W75cfFj6MrmFdbztGURQ2vzWGDWfUUjp6Bz2LVi2/e8eKAud3qSV4TvwM5ly13d0fmg+C5gOhUqAt34oQJaJACeS/2xj+/8dF1adPH65du8b48eOJj48nIiKC3377zbKw5sKFC3lGHMeOHYtGo2Hs2LFcunQJX19fevbsyYcffmizmIQQQlQsl9Mu89qW1zCajXQK7cRL4S/le1zKhg2MPmDArKil7F4ZOuzO99Rnp8Hh1er9jVdvLbYhtA20GgL1eoKD7Nwmyi6NUoC5X2tK31SqVLr33ExJScHT05Pk5ORSH6sQQojilWHM4PkNz3Pq5inqVq7Lsm7LcNW73nacKS2NT9o9xJho9Z5FX68qnL98ERcXl7wHJsao9zYavoHsfz479a7Q+Gn1/saAxsX9lsqtu31+Z2VlcfbsWapXr271moyKZODAgSQlJbFu3bp8X7fm+1igEUgvL68C7+tp+qegqhBCCFGamRUzo/8azambp6jiXIXPH/w83+QR4Nwnn/FJ7HHL85kzZ9xKHs0mtWbj3vkQu+XWSd41oOVQdUW1i1cxvhNRlnXo0IGIiAirbhEszDm2VqAEcsuWW/8gzp07xzvvvMPAgQNp3bo1ALt372bp0qWWexWFEEKI0m7WgVlsvbgVR60jsx6cRaB7/vciZp08ydvfrudGahIALRqE07f/c5B+HQ4ug32LIPnCP0droE5XNXGs+SDkUx1EiHJBsdKDDz6orFix4rb2b775RnnggQes7a7EJScnK4CSnJxs71CEEELYybrT65RGSxopjZY0Un4+8/MdjzObTMr6ro8oWq1WARQHnYNyYttaRfl+mKJM9lWUCZXUr4+qKcrGsYpy42yJvYeK5m6f35mZmcqxY8eUzMxMO0RWeAMGDFBQtxuyfJ09e1bZunWr0rJlS8XR0VEJCAhQRo8erRiNxruek5ubqwwePFgJCwtTnJ2dlTp16igzZ8687XqPPfbYHeOx5vtodR3I3bt3M2/evNvaW7RoYanPKIQQQpRW++P3M3H3RABebPIiPWr0uOOxSd//wFuHDmM2qwtnXupYj7p/Dr51QGC4WoKn0ZOgd7lDL8JeWrRoQXx8fIlfNyAggP3799/zuFmzZnHq1CkaNWrE5MmTAfVWwO7duzNw4ECWLVvGiRMnGDp0KM7OzkycODHfc3x9fTGbzQQHB7NmzRqqVKnCrl27ePHFFwkMDKR37942f49WJ5AhISEsWLCAadOm5WlfuHCh7PAihBCiVDufcp7Xt75OrjmXLtW6MDxi+B2PNSUl8dmkaZy8ch4Af6/KTIs8DzonaPi4Ok0d3EJqN5Zi8fHxXLp0yd5h3JGnpyeOjo64urpaNlF57733CAkJYfbs2Wg0GurVq8fly5cZPXo048ePz/ccUOti/+/WzdWrV2f37t2sXr26dCSQM2bM4Mknn2TDhg1ERkYCsHfvXk6fPs13331n8wCFEEIIW0jKSmL45uEkZyfTxKcJU9pNQavJ5x5FRYHYrZx4ewz/jT1qaZ7/hBfOD70MzQaAu28JRi4K604725Xm6x4/fpzWrVvnWbzctm1b0tLSiIuLIzQ09I7nzpkzh0WLFnHhwgUyMzPJyckhIiKi0LHcjdUJZPfu3Tl9+jRffPEFx4+rK9J69uzJsGF3qYclhBBC2JHRZOT1ra9zPuU8QW5BzHpwFs4O/69MSVYKRH8LexeQceI8b0YHkZqh7jjTsWkzHp2/B3Q22wFYlICCTCOXFytXrmTUqFF89tlntG7dGg8PDz755BP27NlTLNcr1L+E4OBgKd4thBCiTFAUhYm7JxKVEIW73p05nebg4+Jz64Crx9WC39ErwZiO2QTfbw/k9zPqftdOjk4s/2m9JI+iWDg6OuYpgVi/fn2+++47FEWxjELu3LkTDw8PgoOD8z3n32PatGnDyy+/bGk7c+ZMscUt9QWEEEKUa18e+pL1Z9aj0+j49IFPqVW5FpiMcHQdLHkE5t4H+78CYzr41OVyVi9GX7qJgrrPxjuvv0nVqlXt+yZEuRUWFsaePXs4d+4ciYmJvPzyy1y8eJFXXnmFEydO8OOPPzJhwgRGjhxp2Z3v/59jNpupXbs2+/fvZ+PGjZw6dYpx48axb9++YotbEkghhBDl1voz65ljmAPAu5Hv0tazNmz7BGY2gTUD4NxfoNFB/Z7Qfz3ZD69gzPojXL55FYDaIdUZN2WyPd+CKOdGjRqFTqejQYMG+Pr6YjQa+fXXX9m7dy/h4eEMGzaMF154gbFjx97xnAsXLvCf//yHJ554gj59+hAZGcn169fzjEbaWoG2MixPZCtDIYSoGPZc2cOwP4aRq+QyKPRhRl6/Acd+BLNRPcDNV10Q02IQeAajmM1sePRxHt3wCyazCa1Gy759e2nWvLl934gAZCvDkmDzrQz/pSgKFy9exM/PT/4HCSGEKLVibsbwxpbXyVVyeThXz+vb5t96MbiVui91g8fAwcnSfGPVal7ffxCTWb23bEi/AZI8CnEHVieQtWrV4ujRo9SuXbu4YhJCCCEK7drlKF7e/BKp5kyaZWXxQfwFtA7O0PgptXZjUMRt5xivXuWD9z/jdMJFAAKq+DFz/pwSjlyIssOqBFKr1VK7dm2uX78uCaQQQojSw2yGmE2k753H8IyjXHFyJCzHyKwsZ5w6vw9NnwNX73xPVRSF/W++xbx/Vl0DLPtmOS4usrOMEHdidU2Cjz76iLfeeosvvviCRo0aFUdMQgghRMFk3ADDN7DvK4w3zzLS35fjri54o2Nu5Bi8GvUBre6uXST/9DPDt+4iKycbgF5detCl60MlEb0QZZbVCWT//v3JyMggPDwcR0fH2/5Cu3Hjhs2CE0IIIfJ1JVqt3Xh4LeRmogAT/APY5eqIi86JOQ8vIcTn3oMcuYmJTHt3MgfjYgDwcq/E4tVfF3PworhUsHXBNmfN98/qBHLmzJnWniKEEEIUXW4OHF+vJo4X/77V7t+I/4bW46fEveg0Oj7rMINGBUge1anrt5lx+oilbf78L/Hy8iqG4EVx0uv1AGRkZMitB0WQkZEB3Pp+3o3VCeSAAQOsj0gIIYQorJTLsH8xRC2BdLU+I1oHdRV1y6F8m3GOhXunADCh9QTuD76/YN1u2MCwzdvJyskCoPsDXXi67zPF8Q5EMdPpdHh5eXH1qvrz4erqmmcvaXF3iqKQkZHB1atX8fLyQqe7+20fUMitDP+VlZVFTk5OnjaprSiEEKLIFAXO7YC98+HEL6D8s22be4Bat7H5QPAI4I/zfzB171QARkSM4PHajxeo+9wbN5j69gSiL6lbvXl5ePLNutXF8U5ECQkICACwJJHCel5eXpbv471YnUCmp6czevRoVq9ezfXr1297/f/vzSiEEEIUWHYqHFoFexfCteO32qu1VWs31nsEdOr02t4rexm9fTQKCk/XeZoXm7xYoEsoisL+UW8x6/StVddfLVwoU9dlnEajITAwED8/P4xGo73DKXP0en2BRh7/ZXUC+fbbb7Nlyxa++OILnn/+eebMmcOlS5f48ssv+eijj6ztTgghhIBrp2DfQjCsgJxUtU3vCk36qImjf8M8hx+/fpxXt7yK0Wykc2hn3ot8r8BTlsk//cyLG7daVl0/0rErT/R+yqZvR9iPTqezKhEShWP1VoahoaEsW7aMDh06UKlSJQ4cOECtWrVYvnw53377Lb/++mtxxWoTspWhEEKUEqZcOPWbOk19dtut9iq1oOUQCO8LLl63nXYh5QLPb3ieG1k3aBnQki86f4GTzum24/JjvHKFtzo9wqzjBwDwruTFmfNnZfSxDJDP79LF6hHIGzduUKNGDUC93/Hfsj3t2rXjpZdesm10Qgghyp/0RDiwVF0Yk6zu/IJGC3UeVkcbq3cArTbfU69lXOM/f/yHG1k3qOddj1kdZxU4eVTMZja9NJy5pw9Z2hYtWiTJoxCFYHUCWaNGDc6ePUtoaCj16tVj9erVtGrVip9++kn+EQohhLizuCh1tPHo92D6ZwGmizc06w8tBkPlanc9PSUnhZc2vURcWhzB7sF80fkLPBw9Cnz5hCVLeWnn3xhzcwF45tGneOzJgi26EULkZXUCOWjQIKKjo3nggQd455136NmzJ7Nnz8ZoNDJ9+vTiiFEIIURZZcyEI9/DvgVw+eCt9qCm0OpFaPgE6J3v2U2GMYPhm4Zz8uZJqjhXYX6X+fi4+BQ4jOwzZ3h16kzOJ14BoKpvIItWLrP67QghVFbfA/n/nT9/nqioKGrVqkWTJk1sFVexkXsohBCiBNw8D/u/ggPLIfOfHcp0jtDoSWg5FIKbF7gro8nIK1teYeelnXg4erC462Lqetct8PmK0ciyzt0YtP1PFBR0Wh17/v6b5i1bWPuuhB3J53fpUqQ6kADVqlWjWrW7TzsIIYSoAMxmiN2i7hRz6jfgn/EJzxC1dmOzAeBW8FFDAJPZxDt/vcPOSztxcXBhbqe5ViWPADGffMrIg1Eo/8Tz1itvSPIoRBEVKIH873//W+AOX3311UIHI4QQogzKSlbL7+xbCNdjbrXX6KCONtbtBlrry6ooisL7f7/P7+d/x0HrwIwOM4jwi7Cqj7TdfzP4y6XcSE0CoHGt+nzwmZScE6KoCjSFXb169YJ1ptEQGxtb5KCKkwyBCyGEjSQcVUcbD60GY7ra5ugBEc+qZXh86xS6a0VR+Gz/Zyw9thStRssn7T/hobCHrOoj9+ZNxj/wEFMP7wfAxcmZE6dOEhoaWui4hP3I53fpUqARyLNnzxZ3HEIIIcoCkxFO/Kwmjud33mr3rQ+thqiFv50KvjL6Tr6I/oKlx5YC6v7W1iaPiqKw+T8v8+nxaEvbnFmzJXkUwkaKfA+kEEKICiA1HqKWQtRiSFVXMqPRQf1H1GnqsHZQwJ1g7mXxkcV8Ef0FAKNbjuaJ2k9Y3celJUt4YfOfGHPVLe2e7Poog/7zgk3iE0IUIoEcPHjwXV9ftGhRoYMRQghRiigKXPhbLcFz7Ecwq/UTcfOD5gOg+SDwrGrTS648sZLpUWpJuFebvspzDZ6zuo+sk6cY8v6nXLpxFYDQgGCW/7DSpnEKUdFZnUDevHkzz3Oj0ciRI0dISkriwQcftFlgQggh7CQnHQ6vUaepE47cag+JVGs31n8UHBxtftl1Mev4cM+HAAxtPJShTYZa3Yc5I4OZzw9m49ljADjq9fy66TdcXFxsGqsQFZ3VCeQPP/xwW5vZbOall16iZs2aNglKCCGEHVw/A/u+AsPX6spqAAcXaPyUusVgYHixXfrX2F+ZsGsCAM/Vf45Xmr5idR+KorDj1deYFL3f0jbtg49o2LChzeIUQqiKXEj8XydPnqRDhw5cuXLFFt0VG1nFJYQQ/8NsgphN6haDMZtutVcOU1dSR/QDV+9iDWHjuY2M3j4ak2LiydpPMqH1BDSFuJ/y8jffcN9rb3LxegIAD7V9kN/+2lSovkTpI5/fpYvNFtGcOXOG3H/2FxVCCFHKZdyAg8vVEcek8/80aqBWZ3WaulZn0GqLPYzNFzbzzvZ3MCkmHqv5GONbjy9Uwpd5/DjPvfe+JXkM8glg7YZ1kjwKUUysTiBHjhyZ57miKFy5coVffvmFAQMG2CwwIYQQxeCyQb238chayM1S25y9oOlz0PIF8K5RYqFsu7iNUdtGkavk8kiNR5jUZhJajfVJqyktjYl9B7Hl/EkAnByd2LjlDzw8il5OSAiRP6sTyIMHD+Z5rtVq8fX15bPPPrvnCm0hhBB2kJutrqLeOx/i9t1qD2isjjY2egocXUs0pB2XdvDG1jfINefycNjDvN/2fXSF3K3mp8FDmX7k1n2Pc2b8l0aNGtkyXCHE/2N1Arlly5biiEMIIYStJcfB/kVq/caMRLVNq4eGvdTajSGtbFa70Ro7Lu3gtT9fw2g20jm0M1Pun4KDtnB3VMXMncsLv20g12QC4NlHe/PCyy/aMlwhRD6K/waXe5gzZw5hYWE4OzsTGRnJ3r1773p8UlISw4cPJzAwECcnJ+rUqcOvv/5aQtEKIUQppygQuw1W9oOZjeGvz9Tk0SMIOr4HbxyFJxdCaKRdkse/4v7i1T9fJcecw4MhDzKt/TT0Wn2h+kretYunPvyUG6nqivH6YbVZsvZrW4YrhLgDq//ka9q0ab43JWs0GpydnalVqxYDBw6kY8eO9+xr1apVjBw5knnz5hEZGcnMmTPp2rUrJ0+exM/P77bjc3Jy6NKlC35+fqxdu5aqVaty/vx5vLy8rH0bQghRvmSnQvRK9f7GxJO32sPuV0vw1O0OusIlarbyV9xfvLZFHXnsFNqJT9p/gr6QMRmvXGHwgP9w6Mo5ACq5ebBp51b0evu+RyEqCqsTyIcffpgvvviCxo0b06pVKwD27dvHoUOHGDhwIMeOHaNz5858//33PPbYY3fta/r06QwdOpRBgwYBMG/ePH755RcWLVrEO++8c9vxixYt4saNG+zatcvySyIsLMzatyCEEOXHtZNq0hi9EnJS1Ta9G4Q/oyaOfvXtG98/tsdt5/Utr99KHh/4pNAjj+bsbKY83ofvY9Qi5zqtju+/X0tQUJAtQxZC3IXVCWRiYiJvvvkm48aNy9P+wQcfcP78eX7//XcmTJjA+++/f9cEMicnh6ioKMaMGWNp02q1dO7cmd27d+d7zvr162ndujXDhw/nxx9/xNfXl2effZbRo0ej0+V/83V2djbZ2dmW5ykpKda8XSGEKH1MuXBqg7oo5uz2W+1VaqtJY/gz4Oxpv/j+n60XtzJy60jLPY/THij8tLWiKKwb8h8+2L/L0vbh+Ml0eughG0UrhCgIqxPI1atXExUVdVv7M888Q/PmzVmwYAF9+/Zl+vTpd+0nMTERk8mEv79/nnZ/f39OnDiR7zmxsbH8+eef9OvXj19//ZWYmBhefvlljEYjEyZMyPecqVOnMmnSpAK+OyGEKMXSrsGBpbB/MaTEqW0aLdTpBq2GQI2Odrmv8W7+OP8Hb297m1wlly7VuvBx+48LnTwCHJs7l8E/fG9ZNPPUw70YPeFdW4UrhCggqxNIZ2dndu3aRa1atfK079q1C2dnZ0Dd2vDfx7ZkNpvx8/Nj/vz56HQ6mjdvzqVLl/jkk0/umECOGTMmT+3KlJQUQkJCbB6bEEIUC0WBuP2wbwEc/QFMOWq7axVo1h9aDAavUPvGeAe/xv7KuzvexaSY6BbWrUirrQESt23n0UlTSE5Xp+ob16zPivWrbRWuEMIKVv9LfuWVVxg2bBhRUVG0bNkSUO+BXLhwIe++q/4VuHHjRiIiIu7aj4+PDzqdjoSEhDztCQkJBAQE5HtOYGAger0+z3R1/fr1iY+PJycnB0dHx9vOcXJywsnJyZq3KIQQ9mfMhCPfqfc3XjHcaq/aQp2mbtAL9Lb/Q91Wfoz5kfG7xmNWzDxa81Emt5lcqDqP/8o6e5Ze/YcQe+0yAD5e3vz593ZZNCOEnVidQI4dO5bq1asze/Zsli9fDkDdunVZsGABzz77LADDhg3jpZdeums/jo6ONG/enM2bN9OrVy9AHWHcvHkzI0aMyPectm3bsmLFCsxmM9p/ttg6deoUgYGB+SaPQghR5tw8p24veHA5ZN5U23RO0PgpdW/qqs3sGl5BrD21lsm7J6Og8GTtJxnfenyhdpj5lyklhRd6PMnOC6cBdaeZ3/74HR8fH1uFLISwkkZRFMVeF1+1ahUDBgzgyy+/pFWrVsycOZPVq1dz4sQJ/P396d+/P1WrVmXq1KkAXLx4kYYNGzJgwABeeeUVTp8+zeDBg3n11Vd57733CnRN2YxdCFHqmM0Q+6c62nhqI/DPr2XPUHV7wabPg1sVu4ZYUEuPLuXT/Z8C0LdeX8a0GlOk/aiV3FwmdHyI93eom1hoNBq+XbaCPs89Y5N4Rdkhn9+lS6FvRsnJyeHq1auYzeY87aGhBb8Xp0+fPly7do3x48cTHx9PREQEv/32m2VhzYULFywjjQAhISFs3LiRN954gyZNmlC1alVee+01Ro8eXdi3IYQQ9pOZBIYV6v2NN2JvtdfspE5T134IijDtW5IURWFe9DzmRs8FYFCjQbzR7I0iJY8Aywe+wIc7t1meT3hrnCSPQpQCVo9A/jvqt2vXrjztiqKg0Wgw/bMyrrSSv2CEEHYXf1gdbTy8BowZapuTJ0Q8q05T+9S6+/mljKIofLr/U5YdWwbAq01fZUjjIUVOHv+aMpWHJk0iK0ctxda3Z29WrF9V5HhF2SSf36WL1SOQAwcOxMHBgZ9//pnAwMAi/4IQQogKwWSE4+th70K48D9/gPs1VEvwNO4NTu72i6+QTGYT7//9Pt+d/g6Ad1q9Q7/6/Yrc74lVq3j8o2mW5LF1k5Ys/2FFkfsVQtiG1QmkwWAgKiqKevXqFUc8QghRvqRcgagl6ldavNqm0UH9nuo0dbW2pa52Y0EZTUbG7BjDxnMb0Wq0TGw9kcdrP17kfi//9RddXn6V66lJANQIqsYfu7bcccMIIUTJszqBbNCgAYmJicURixBClA+KAud3qfc2Hv8JzLlqu7s/NB+oflUq29vuZRgzeGPrG+y6vAsHrQMf3f8RXcO6Frnf5FOn6PT0s8TduAqAX2Ufdkb9jZubW5H7FkLYjtUJ5Mcff8zbb7/NlClTaNy48W01uOS+BCFEhZWdBodXq9PUV4/eag9trY421usJDmW/5FhSVhLDNw/nUOIhXBxcmNlxJm2C2hS536xr1+japQcnEtRddjxc3dm2a8cdawMLIezH6gSyc+fOAHTq1ClPe1lZRCOEEDaXGAP7FqorqrOT1TYHF2jSW00cAxrbNz4bik+P5z9//IfY5Fg8nTyZ22kuTXybFLlfU0YGT7TrxJ4LMQA4Ozqx8fffqVevbpH7FkLYntUJ5JYtW4ojDiGEKFvMJjj9u7qa+szmW+3eNdSV1BHPgktl+8VXDGKTYhm2aRhX0q/g5+rH/C7zqelVs8j9mrOz6d+mAxtOHQZAp9WxasVKWrdtXeS+hRDFw+oE8oEHHrjja0eOHClSMEIIUepl3IADy2D/V5B04Z9GDdTpCi2HQs0HQVv4XVdKK8NVA8M3DyclJ4WwSmF82eVLgtyLfh+nYjLxUocurIjeB4AGDbM//S+PPtmryH0LIYpP4Xe1/0dqairffvstCxcuJCoqSqawhRDl06UD6jT1ke8gN0ttc/aCZv2hxWDwrm7X8IrTlgtbeGv7W2Sbsmni04TZnWZT2bnoo6uKovDmQ92Z//dflrZJoycw7I2Xi9y3EKJ4FTqB3L59O1999RXfffcdQUFBPPHEE8yZM8eWsQkhhH3lZsPRH9Rp6kv7b7UHhqujjY2eBEdX+8VXAtacWsMHf3+AWTHzQPADTGs/DVe9bd7zhF5PMePP3y3P3x4+inEfTbBJ30KI4mVVAhkfH8+SJUv46quvSElJoXfv3mRnZ7Nu3ToaNGhQXDEKIUTJSroI+xepU9UZ/5Qt0+qh4ePqopjglmW2dmNBKYrCbMNs5h+aD8ATtZ9g3H3jcNAWeeIKgI/7DeT99d9bnr/cfxgfz/7EJn0LIYpfgX8T9OzZk+3bt9OjRw9mzpzJww8/jE6nY968ecUZnxBClAxFgdit6jT1yV9BMavtlapCi0HQbAC4+9k1xJJiNBkZv2s8P8f+DMCw8GG8HP6yzXYe+2TgC4xZsczyfMAT/Zi9ZK5N+hZClIwCJ5AbNmzg1Vdf5aWXXqJ27drFGZMQQpScrBSI/lZNHBNP3WoPux9avQh1u4PONqNuZUFydjJvbH2DffH70Gl0TGg9wSa7y/zrowFDeHfZYhQUAJ7q+jiL1y6XbXGFKGMK/Ftxx44dfPXVVzRv3pz69evz/PPP88wzzxRnbEIIUXyunlB3ioleCTlpapujO4T3Vcvw+FW87VovpV3i5U0vE5sci5vejekPTKdN1aIXCP/X1IFDeHfZV5bnTz7Ui9UbvpPkUYgySKMoimLNCenp6axatYpFixaxd+9eTCYT06dPZ/DgwXh4eBRXnDaTkpKCp6cnycnJsmuOEBWNKRdO/qIuijl3a+UvPnXU0cYmfcC5Yv5eOHztMK/8+QrXs67j5+rH3E5zqettuyLeHwwcwrilt5LHp7s9yapf1kjyKApMPr9LF6sTyP918uRJvvrqK5YvX05SUhJdunRh/fr1tozP5uQHUIgKKO0qHFgK+xdDyiW1TaNVp6dbDYXqD5T7RTF389u53xi7YyzZpmxqV67N3E5zCXCz3faB454dwAff3rrn8ZkevVnx00pJHoVV5PO7dClSAvkvk8nETz/9xKJFiySBFEKUDooCcfvU0cajP4DZqLa7+kDzAdB8EHiF2DdGO1MUhfmH5jPbMBuA9sHtmdZ+Gm56N5v1P+KRx5n764+Wtn49+7L8x28keRRWk8/v0sUmCWRZUlw/gIqikGmUIupC2J0xE92x79HvX4g24ZCl2RTUnNwWQzDVewwcnOwYYOmQY8phyt7JbDj3CwB96/bjlYg30Gl1NunfbDYztEs3Vu7409LW//HnmfvtV5I8VhAuep1N/19LAlm6SAJpIxk5uTQYv9Fm/QkhrBOiSeA53Sb66LbipUkHIEvRs97UhmWmLhxRatg3wFJEo0vFJXg5OtcLKIqW7PhHMSbdZ7P+FbMJvx8msD/GYGlren8/brTpa7NriNLv2OSuuDraroKBJJClS8WpTVECHKtsITetPuZs2907JIS4Mw1mHtAe4nndH3TUGtBq1L+HL5p9WW7qzGpTB5Io/Yv7SpLW+RIuwcvQ6pNRTM5kXuqHKd12pdkUYzZe349l/7njAGg0GsI7v8iNZj1tdg0hhP1JAmkjW+I24uS3Ea+g7Uy47306hnSyd0hClF+ZN3E4tAKHA4vR3jxraTbVeBBj8yFUqdmZ17U6XrdfhKXSH+c38v6eBWSbsqjmEcan7WcSWqmazfpPvHaNhyNbc+jSeQB0Wh2fTZnJ0DeG2ewaouxw0dvmdghROkkCaSNtg9oSGRDJnvg9vLNjFMPCh/FS+EtoNVp7hyZE+XHlkFq78dAayM1U25w8oWk/aDkEXZWayEfW7cyKmdkHZ7Pg8AIA2lVtx7T20/BwtN3obMyJEzzQtj2Xb1wDwEnvyOIvl9J3kNQLFqI8knsgbSjXnMtn+z/j6+NfA9AhpANT203F3dHdptcRokLJzYHj69XV1Bf/vtXu30gtwdP4aXC0zarh8iglJ4V3tr/DX5fUupeDGg7itWav2WyxDMDuP7fwcM9HSclQC7JXcvPgxx9+pkOX9ja7hhByD2TpIglkMVh/Zj2Tdk0ix5xDDc8azOo4izDPsGK5lhDlVspltW5j1BJIv6q2aR2g/qNq4hjaukLXbiyImJsxvLblNS6kXsBJ58SE1hPoWdO29yKu/mox/V8aRrYxB4BAb3/+3L6Neg1tV4RcCJAEsrSRBLKYHL52mNe3vs7VjKu46d34sN2HdAqV+yKFuCtFgfM71dHG4z+B8k9pLPcAaDEImg8ED1mkVhC/n/udsTvHkpmbSaBbIDM7zqRBlQY2619RFN4dNoKP539h2de6Xkgttu/fja+fj82uI8S/JIEsXSSBLEaJmYm8ufVNDlw9AMALjV7glaav2HTqSIhyITsNDq2CfQvh6rFb7dXaqvtS1+8JOr394itDcs25fH7wcxYdWQRAZEAknzzwCZWdK9vsGtnZ2TzR8SF+3b3d0ta2USR/7N2Ci4uLza4jxP+SBLJ0kQSymBnNRmZEzWD5seUA3Bd4Hx+3/xhvZ+9iv7YQpV7iaTVpNKyA7BS1Te+q7kndaij4N7RvfGVMYmYib29/m33x+wAY0GAArzd/HQet7dZLxsfH07FVG05cvLX6ffDj/Vn43RIpEC6KlSSQpYskkCVkw9kNTNg1gczcTALcAvik/SdE+EWU2PWFKDXMJjj1mzpNHbvlVrt3TTVpDO8LLl52C6+sikqI4q1tb3Et8xquDq5MajuJh8Metuk1du/YySM9HuFGShIAegc9n074hFfHvmbT6wiRH0kgSxdJIEtQzM0YXt/6OudTzuOgceCN5m/wfIPn5a92UTGkX4eDy2DfIki+8E+jBuo8rCaONTqCVspeWUtRFJYdW8aMqBmYFBO1vGrxWYfPqOFpu513FEXhs0kfMuaDieSa1PtSK3t4sWbVD3Tq1sFm1xHibiSBLF0kgSxhaTlpTNw9kY3n1G0PO4V2YnLbyVRylH8MopyKi1JrNx75HkzZapuLNzTrDy0GQ2XbFbKuaJKzkxm7cyxbL24FoEeNHoy/bzyuelebXSMzM5Pe3Xry87bNlrbaQTX4Y8dWqlUPsdl1hLgXe39+i7wkgbQDRVFYeXIl0/ZNI9ecS7B7MJ92+JSGVeR+L1FOGLPg6PfqNPXlA7fag5pCqxeh4ROgd7ZffOWA4aqBt7e/zZX0K+i1et5u+TZ96vax6YxGTEwMD93fkbPxcZa2R9s8zOrN63BydrLZdYQoiNLw+S1ukQTSjo4kHmHUtlFcSruEg9aBN5rJlLYo45IuwL6v4MAyyLyhtukc1YSx1YsQ3Ny+8ZUDZsXM0qNL+e+B/5Kr5BLqEcqnD3xK/Sr1bXqdRV8uYPhrr5KVnQWAo17P+69P4O1p79n0OkIUVGn6/BaSQNo7HJKzk5mwawKbL6jTQ+2D2/N+2/dllbYoOxRFXQyzdyGc2gCKWW2vFAwtB0OzAeAmdQFt4XrmdcbuHMuOSzsA6BbWjfGtx9t0t6v09HSee+wp1m3+zdLmX9mX71b/QNvObW12HSGsVdo+vys6SSBLAUVRWH1yNdP2TSPHnIOviy8f3f8RrQJb2Ts0Ie4sKxkM36pleK6fvtVe/QF1tLHOw6CzXfmYim7npZ28t+M9rmddx1HryDuR7/BU7adsOmNx8MBBenbtxqXEBEvb/Q0j+WHrr1TxkT9qhX2Vxs/vikwSyFLk5I2TvLX9Lc4mn0WDhkGNBjEiYgR6KaAsSpOEY+qimOhVYExX2xw9IKKvWvTbV7aws6UcUw6zDsxi2bFlANTyqsW09tOoXbm2za5hMpmYNGYsU6d/Sq4pFwAnvSNjBr/BhHkf2ew6QhRFaf78rogkgSxlMowZfLzvY74//T0A9b3r81H7j2xakkMIq5mMcOJndZr6/I5b7b711BI8TfqAk4f94iunYpNieeevdzh+4zgAz9R9hjdbvImzg+0WIMXExPD4w49w5MxJS1s1v6qsWrGayE5tbHYdIYqqtH9+VzSSQJZSm85vYuLuiSRnJ+Osc+atlm/xdJ2nZYGNKFmpCRC1BKIWQ+oVtU2jg3o91GnqsHYgP5M2Z1bMfHviW2ZEzSDblI2Xkxfvt32fDiEdbHYNRVH4bOo0xk4cT7YxBwANGh6L7MLXm3/Azc12pYCEsIWy8vldUUgCWYolpCcwdudY/r7yN6AusJnYeiK+rr52jkyUa4oCF/5Wp6mPrQezUW1384XmA6H5IPCsatcQy7OE9ATG7RzH7iu7AWgb1JbJbSfj5+pns2ucPXuWpx/pRdSxQ5Y2H09vPh87lWdGvWiz6whhS2Xp87sikASylDMrZpYfW86sA7Mwmo14OnkyNnIsD1e37RZlQpCTDofXqNPUCYdvtYdEQsuh0OBRcJDaf8VFURR+O/cbH/z9ASk5KTjrnHmzxZs2re2Ym5vL++9N4KMZn5BjNFraOzduy7cb1uJTNcAm1xGiOJS1z+/yThLIMiLmZgzv7njXci/Uw2EP817ke3g5e9k3MFH2XT+j1m40fK2urAZwcIHGT6n3NwaG2ze+CuB65nU+3PMhf5z/A4BGVRox5f4pVPesbrNr7N+3n75PPE1M3DlLW2UPTz4YOoqXPxtrs+sIUVzK6ud3eSUJZBliNBuZf2g+Cw4twKSY8HHxYdx943gw9EF7hybKGrMZYv5Qd4qJ+eNWe+UwdSV1RD9wlbItJWHjuY18+PeH3My+iYPGgaFNhjK0yVD0WttUX0hKSuKVIcNY8f0azP/U6NSg4eEm97P0+6X41gyzyXWEKG5l+fO7PNLaOwCAOXPmEBYWhrOzM5GRkezdu7dA561cuRKNRkOvXr2KN8BSQq/VMzxiOF93/5rqntVJzEzktS2v8fb2t7mZddPe4YmyIOMG7PocPm8KK3r/kzxqoFYXeHYNvHIQ2rwiyWMJuJF1g1HbRjFq2yhuZt+kduXarOixgpcjXrZJ8mg2m5kzcxbVgkP5+rtVluSxapUAVk6aya/R2yR5FEIUmt1HIFetWkX//v2ZN28ekZGRzJw5kzVr1nDy5En8/O580/i5c+do164dNWrUwNvbm3Xr1hXoeuXlL5hsUzZzDXNZcnQJZsWMt7M370a+S9ewrvYOTZRGlw3qopjDayFX3ZoOZ09o+jy0fAG8pUxUSVEUhV/O/sLHez8mKTsJnUbHC41fYFiTYTar+bp3zx4GPPM8J87dKvCud9DzTIuHmPvdQtyD5F5HUfaUl8/v8sLuCWRkZCQtW7Zk9uzZgPpXc0hICK+88grvvPNOvueYTCbat2/P4MGD+euvv0hKSrpjApmdnU12drbleUpKCiEhIeXmB/BI4hHG7RxHTFIMAJ1COzGm1Rj83fztHJmwu9xsOPajOk0d9z+j+gGN1RI8jZ4CRynVUpKupF1h8t+TLVsR1qlch8ltJtPQp6FN+j9//jzD+g/mt+1/5mlvVaMJcyePp3m/J21yHSHsQRLI0sWuU9g5OTlERUXRuXNnS5tWq6Vz587s3r37judNnjwZPz8/XnjhhXteY+rUqXh6elq+QkJCbBJ7adHIpxGrHlnFsPBhOGgc2HxhM4/9+BgrT6y0TFmJCib5Evz5AcxoCN8PVZNHrV5NGAdvhP/8Bc36S/JYgkxmE9+e+JZeP/Zix6Ud6LV6Xmn6CisfWWmT5DEpKYmh/QZSq2atPMljoLcfcwe8we5jeyV5FELYlF03qk1MTMRkMuHvn3e0zN/fnxMnTuR7zo4dO/jqq68wGAwFusaYMWMYOXKk5fm/I5DliaPOkeERw+lSrQuTdk3iUOIhPtzzIT/H/syE1hNsuuWZKKUUBc79pY42nvgFFJPa7hEILQZDswHgIaPS9nD8+nEm757MketHAGjq15SJrSdSw6votw1kZGQwdcJkZs6ZTVpmuqXdzdmVfk0fZNpXn+JZX7aWFELYnl0TSGulpqby/PPPs2DBAnx8fAp0jpOTE05OFaN2XZ3KdVjWbRmrT61m1oFZRF+LpvdPvXm+4fMMazIMV72MOJU72akQvRL2LYRr//NHV7V2agmeej1A9lK3i3RjOnMMc/jm+DeYFTPuendebfYqfer2Qasp2uRPVlYWn344lU9nziA5LdXS7qBzoEf91nw26S1qPP6I7FwlhCg2dk0gfXx80Ol0JCQk5GlPSEggIOD2m7zPnDnDuXPn6Nmzp6XNbFanaR0cHDh58iQ1a9Ys3qBLOZ1WR996fekY0pGpe6by58U/WXxkMRvObmB0y9F0Cu0kHyrlwbWTatJo+BZy/kkg9G4Q/oxahse/gX3jq8AURWHThU18vPdjEjLU320Phz3M2y3fLvIuUpmZmcz6ZDrTPvuUmylJlnYNGtrUDOfjQf1p89ZwNI6ORbqOEELcS6lYRNOqVSs+//xzQE0IQ0NDGTFixG2LaLKysoiJicnTNnbsWFJTU5k1axZ16tTB8R6/OCvaTbhbL27lo70fcSntEgDtqrZjTKsxhFYKtW9gwnqmXDi1QZ2mPrvtVnuV2upoY/gz6spqYTexybFM3TPVsv1osHsw7933Hu2qtitSv8nJyUwZP5l5Xy0gJT01z2stqzdmXNeH6fbhOzh4S/klUX5VtM/v0s7uU9gjR45kwIABtGjRglatWjFz5kzS09MZNGgQAP3796dq1apMnToVZ2dnGjVqlOd8Ly8vgNvahapDSAciAyNZcGgBi48uZselHfT6sRf9G/TnxSYvyrR2WZCeCAeWwr5FkBKntmm0UOdhdTV1jQ4go8p2lW5M58voL1l+bDm5Si6OWkcGNhrI0MZDcXZwLnS/ly9fZuLo9/h6zUoys7PyvNYsrCHv3v8Aj059F31V2ZtcCFGy7J5A9unTh2vXrjF+/Hji4+OJiIjgt99+syysuXDhAlptqah3Xma5OLjwarNX6VmzJ1P3TGX3ld18deQr1p9ZzxvN3+CRGnKvVKmjKHApCvbOh6M/gClHbXfxhuYD1IUxXjKKbG9mxcxPZ37ivwf+y9XMqwB0CO7A2y3fJqRS4Rfr7d69mwlvvcvm3dstt+kAaDQaWlVvzBvNW9Lrw9E41ZYFckII+7D7FHZJq+hD4IqisOXiFj7Z9wlxaepoVrhvOG+3fJsmvk3sHJ3AmAlHvlcTxyuGW+1BTaHVf6Dh46Av/IiWsJ0DCQeYtm8aR68fBSDEI4R3Wr1D++D2heovOzubFUuXM23qx5w4l/dWHQedjvY1mvJW65Z0ePd1nOvWKXL8QpQ1Ff3zu7SRBLKCyjZls/zYcuYfmk9mbiYA3cK68Vrz16jqLtNhJe7medj/FRxYBpn/bEupc4JGT0DLoRDc3L7xCYtLaZeYETWDjec2AuCmd+PFJi/yXP3ncNRZv3jl5MmTTB03ie9+Xp+nFA+Am4srXcMieKNdc1qOfg2nCr5IUFRs8vldukgCWcElpCfw+cHPWX9mPQoKeq2e5+o/x5AmQ6jkqH5/zOnpGK9exXQzCeON66TEJ5Acf4W06zfITEkhIzWFzNQ0MtNSyc3OwWjMwZRjJDcnG3OuCRQFjdms/lcx46DR4qDV4uigw0Grw1Gnw9nRERdnZ5ydnXFxdsbd1RXnSh7oXN3QurigdXVF6+GOzsMDrbsHukoeaCtVQuflhc7TC52XF1o317I1FW82Q+yfsHchnPoN+OefomeIur1g0/7gVsWuIYpbkrKSWHB4Ad+e+Baj2YgGDU/WeZLhEcPxcSlYWbF/paSk8PXipcz9fA5Hz5y87fVgn0CeDqzL8CcfJOSFwTgGyx91Qsjnd+li93sghX1V0njQT9ONejed+H3XOpIuJrE5/Ut+zv6SjBwzqdnZpGRnkZadRWZONtnGnBKLTavR4uToiLPeCWe9HjdHJ9z1jnjoHPDQavFEwUcx45OTTRWNmcqOTvhUqYKvvx/e/gHofaqgq+KDg6/vrS8/X/T+/mhd7bh4KDMJDCvUMjw3ztxqr9FRXRRTpytodXYLT+SVlZvFihMrWHhoIalGdQV0ZGAkb7V4i7reBS/SbTQa+eWnn/h82kz+itqNMTc3z+sOOgdahTWkXxVfnh7SB+8+vdHJh6QQopSSBLKcUxSFy5cvc/LECQ5s+pPofVGcu3yZ+Js3uZqSREpGmr1DvCOzYiYzO+u21ad3dTYWULfE9HBxw9PFDS8nV7wdnfDV6fA3GQnNTiPAw52gwECCQqvhGRKMPjAQfUAg+qBA9IGBOAQFobV1Lb34I7BvARxaDcYMtc2pEoT3Vcvw+MiCiNIk15zLjzE/Mu/QPOLT4wG1WP/I5iNpE9SmQKPdRqOR3zduZMGsufy5azupGem3HRPo7ccjAbV5MbwWdQb1w6NjRzQO8qtZCFG6yW+pckJRFC5duoTBYGDXpi1E/b2H0+fPc+l6AjlGY5H61js44ObshouTMy6Ozrg4uuDi5IKzowtOjk44Ojnj5OiMk6MTer0jDg56dA4OOOj16LRaFBQUsxlFUVAUhdxcI0ZjDsbcHIxGIzk5WWRlZ5Gdk012ThY5xhyyctTEMSsni6ycbDJz1NcLymw2k5yeSnJ6KhfudNBJderQ2dEJb3dPvF3c8XFyxV/nQEiukZpueqoFBxBSoya+NWviGBKMY3Aw+uBg9AEBaPQF2OHFZITj69Vp6gu7brX7NVALfjfpA07uBX5foviZFTMbzm5grmEuF1LVn54AtwBeafoKPar3QHeP0eG0tDR++/VXFs9dwLY9u0jPyrjtGDcXV9qFNKSPqxPdevfAu+8zOIaFFcfbEUKIYiEJZBl16dIldv61g80/b2Df/ihiLp4j1YrRRA0aPN0rUaWSNz6ePvhU9icgIJjgatUJqRZKYNUAfPy9OZCzn9WXvyXRlICiUahTuQ4vh7/Mg6EPlvj9hrm5uaSkpJCUlMT1xBskXLlG/JUELp29wJW4OBKvXiXxRiJJKUkkpSaTnJ5KakYaJrPprv1m5WRz+cZVLnP19hfV7Ytx1Oup4lEZH7dK+Dm5E6jTE+bsRO3AKtSuGUpYowa4Va+BY7VQHENC0JpTIWoJ7F8MaeroFRod1H9Enaau1lZqN5YyZsXMlgtbmBM9h9M3TwPg7ezNkMZD6F23N066O2+JGhsby7dLl/P96u84dPoYuabbf+Yc9XqaBtejl7MrT7eLwPepJ3Dv0MH2I91CCFECZBFNGWAymTh06BAb1v3MH79u5PDpY1xPvnnP8zQaDX5ePgR6+xMSEErdBhE0bhZBg8Z1qV2/BpUquxUoCUzNSWX5seUsP7acNKOapNb3rs9L4S/RIaRDqV64oigKN2/eJD4+noSEBM6dPcep6GOcP3OOy/GXuXYjkevJN7mZmkxOEe7vVBNyD3zcvfB19STAyYUwB4U6LpnU8TVRN7IV3l0G4NigudzXVsqYFTObzm/iy0NfcurmKQA89B4MbDSQ5+o/l2+x/WvXrrHh51/47ptV7I7ax7Wk6/n27eToRPPgOnRzcKJXo2oEPdqTSo88gkMVWRwlhLXK4ud3eSYJZCmkKArHjh3ju6/X8OvPv3A45igZWZl3PcfdxZXqfiHUrVqTZq1a0aZbJ1q0aYqbu5vN4krOTmbp0aV8c/wbMnLVabm6lesypMkQuoR2uefUXmmmKArJycnExcURFxfHqWPHORF9jHOxZ7mcEM/VG4lcT7lZpCTT3cUNH4/K+Lp74e/mRTVvX2oHB1OnYW0a3NeUqk0b4fDPzkqi+JnMJv648AdfRn9JTJJad9FN78az9Z5lQMMBeDqp20IqisKFCxfYvPEPfl67jv3RB7l49fId+/X28KJ5QA0eUhR6NK6OX48eeHTtKiuphSiisvD5XZFIAllKpKSksPbbdaxZupy/D+8jKS35jsc66vXU9AshvGp12t/Xkk7PPUHtFi1KbCTwZtZNlh5dyrcnvrUkkmGVwhjaZCjdqndDry3AvYFlkKIo3LhxgwsXLnD2bCzH/97Byai/OXfpGldSMrmakkJKeuEXJTk7OlHFozK+Ht74eXgTXMWfGtXCqNOoHvVahVO7ZROcXe48jSoKJseUw8+xP7P4yGLOpZwDwF3vTr/6/Xi+wfOY0k3s2bOHTT9tYPfO3Zw4e5qbqXf+9+ig01HbvxotPXx4hExatWmJx4MP4tGxg2wxKIQNldbP74pKEkg7OnnkDAv/u5DfNv3I8fOn7nivnpuzK40CQrg/KIiuXR7gvr59catT2+5Tx8nZyaw4voKvj39NSk4KAIFugTxX/zmerPMkbnrbjX6WGmYTnP4d9i6AM5tvtVeuDi2HkFX/SS5cS+XcuXMcP3SYY9FHOBt7lrgrl0m4nsjN1CQK+09Oq9Hi5V4Jb4/K+Hh44+/lS9XAYGrWq0/t8AbUqFuTGnVDcXGVJDM/6cZ01p5ay7Kjy7iaeRWz0YzjTUeaZUdgPmzk2JFjxF46T2Lyjbv2o9VoCfUNpJlXAB1zM2kf7Itv+/txa9sOt3Zt0bnLoighikNp+vwWkkCW6LVNRjN7th5i6YKF/LnzV2Iun833OL2DAw0DQrnfxZlH2rSk1TPPUKl9e/vWLryLdGM6q06uYunRpdzIUj98PRw96F2nN/3q98PX1dfOEdpAxg11l5j9X0HSv+u6NVD7IXVRTM0HoQB7thuNRuLi4jh//jynjh3nyIFoYs/EEnf5EvGJ17iefCPfBRgFpUGDh5s7ld298Hb3okqlKvj5BhBcvRbVatYkNCyY4GpBVKsRjFcVD7v/EVLcMjIy2H98P8v+Wsa+v3eju6Al82om16/fJDH5ZoGSeWdHZ2r6ViXCzYt2xjQi/Srj27Ilbm1a49amDfrQ0HL/fRSiNJAEsnSRBLKYZablEL0zhuVfLeGPXd9z+tKZfI/z8fCidRVfuuu1dHn8MfwffRS3Vq0KViqmlMg2ZfPTmZ9YenSpZWrQQetAt7Bu9GvQj4ZVGto3wMK4fFAtwXNkLeT+U4/S2QuaPQ8tBoN3DZtezmw2k5CQwIULF4iNOcMxwyFOnzjFhYsXib+WQGLSTatW29+Ns6MTlVw9qOTqgYerB54eXlT2qoKPjx++AYH4BwbhF+CLn78PPv5VqOJbGR9/b5yc7LtqODc3l+TkZK5du8a1a9e4cukK506d5eypGC5evEDC1QQSk29wPdn675WzoxOhVQKo4+5N89xsWpJNnbp1cGvaFNfmzXBt3hx9tWqSMAphB5JAli6SQBaD9ORsTu67zKrla/hj57ccOns43+npYG9fOlXy5HFHHc27d8ez5yO4tWtX5st6mBUzWy9uZcnRJRy8etDSHuEbQb8G/egU2ql03yeZmw1Hf1CnqS/tv9UeGK7uS93oSXC032hwVlaWZbHP2dNnOH7oCGdPnuLS5ctcvXmD6ylJJKenFnqq/F70DnpcnJxx1jvhpHfEydEJJ0f1uV6vx9HBCUdHPY6OTugd9Oh0OnQOOvQOerRaHWbFjAbU+qCKQm5u7j+1Qf+pD2o0qvU/s7PJNmaTnZNNRnYmmdmZZGRl2mQ3JCe9IwFePgS7e1Fbp6dpdgoNnBwIq10bl3p1cW7YCOfGjXBu0ECmpIUoJSSBLF0kgbSRjJQcYqKusvOPA/z0+xJ2ndhMcnrKbcdVrexD90qe9NKaqd+8BV5PPkmlHt3ReXjYLJbS5EjiEb45/g2/nfuNXLO6dZuviy9P1H6Cp+o8RYBbgJ0j/B9JFyFqMUQthYxEtU2rh4aPqzvFBLcsM7UbTSYTCQkJXLlyhSuXL3PGcIjYYyeIi7vE1Rs3uJGaws30NJLTU8mwZqefMkKr0VLJ1R1fDy/8nd0I0TlQIyedGoqRmpU8CK5ZC6ewMByrVcOpdi2c6tTBsUaNMv/HmxDlmSSQpYskkDby+dQvmTdvFscuHL/tNS83D7r4BtBHMdLQxwevxx/H66mncK5bx2bXL+2uZVxjzak1rD65mutZas08rUZL++D2PF3nadoGtbVPGSBFgbPb1NHGk7+CYlbbPYKg5WBoNgDc/Uo+rhJkNBq5nphIQmwsV8+c4cqZWOLjLpEQf43EpCRupKaSkpVFWnY2aTnZZOTkkGFU90XPNhrJNeXe+yJF5KR3xPWfnZDc9I646Z3w0jtSWavBz2zCLycTf0z46PW4VtLjExiAX9WauAZXU7eprBqk/jc4GAc/PzQFuF9VCFG6SAJZukgCaSPN6jfm4IkjludarZbIqtV4XmPmfmdnXOvUpnK/5/B8tGepXQxTEowmI5svbmbNyTXsjd9rafdz9eOxmo/Rq1YvQiuFFn8gWSkQvRL2LYTEk7faw+5XRxvr9gCdbNSUH0VRUDIyMKWmYkpOIefmDVKvXSPjxg2yUlLISEkhKzWVzNRUjFlZmLKzMWZnk5udgyknB41iBrMZzAoakwmdVoNeq8NBq0Wv06LXOeDq4oyriwuuzi44u7jg4OKC1tUVrZsrKVojR9JPsyf9KFd0qaQ5a0hzgVrVmvJos350DCvlt0gIIQpFEsjSRRJIG1m2aDEDXhiMn2dlelWuQj8d+Do44P7gg3j3749rZCu58f7/iU2OZc3JNfwU+xPJ2bfq7DX3b85jNR+jc7XOeDjaeGr/6gnYt0BNHnP+WWChd4OIvure1H71bXs9YRMpOSlsPLeR9THrMVwzWNq9nb15rOZjPFH7CcI8w+wWnxCi+EkCWbpIAmkjV1ev4ec33yTS1RWtoyOePXtS5YXBONWsabNrlFc5phy2XNzCDzE/sPvybsz/TCM76Zx4IPgBHqnxCO2qtkOvK+SokikXTv6iTlOf++tWu08ddVFM+DPgLL+MSptsUzY74nbw69lf2XpxKzlmdfGMVqOldWBrHq/9OA+GPFj4nwshRJkiCWTpIgmkjZgzMoh99DE8HnoI7wH90fv726zviiQ+PZ6fzvzEz7E/E5sca2n3dPLkwZAHeSjsISIDIws2RZl2FQ4shf2LIeWS2qbRQt3u6jR19QfKzKKYisJoNrLnyh42nN3Anxf+tOy9DlDLqxaP1nyUHjV64Odavu9LFULcThLI0kUSSBtSTCY0urK7H3RpoigKJ26c4OfYn9lwdgPXMq9ZXqvkWIkHQx+kS7UuRAZG4qRz+t8TIW6fOtp49AcwG9V2Vx9oPgCaDwKvkBJ+N+JusnKz2HV5F5svbGbLxS2k5qRaXvN39efhsIfpXqM79b3ry20gQlRgkkCWLpJAilLPZDYRlRDF7+d/Z9P5TZZV3AAuDi60CWpDx6C2tE+5SeUDX8OV6FsnV22h7hTTsBc4yBZ/pUViZiI7Lu1ge9x2dlzaQWZupuU1b2dvHqr2EN2qdyPCLwKtRlZMCyHk87u0kQRSlCkms4kDVw/w+7nf2XJxCwkZCZbXtIpCo+wc2mUZaVe1HQ3uew1dcAs7Riv+ZTKbOH7jOH9d+ou/4v7icOLhPK8HugXSKbQTnat1JsI3wj4lnYQQpZp8fpcukkCKssdshjObUfbM59iFrWx1dWGLqwsn/98We15OXtwXeB+RgZFEBkQS7BEsU6AlRFEU4tLi2H15N39f+Zs9V/aQkpO3sH6DKg1oH9yeDiEdaODdQP7fCCHuSj6/SxdJIEXZkXkTDCvU2o03bi2woWYnaDWU+KAm7LzyNzsv72T35d15FmCAOsrVKqAVzf2bE+EXQVilMElabERRFM6lnCMqIYr9CfvZH78/z+gwgLvencjASNoHt+f+qvfj6+prp2iFEGWRfH6XLpJAitIv/rC6KObQavj3XjknT4h4Vq3d6FPrtlOMZiOHrh1iz5U97Lmyh0OJhyxbKf6rslNlwv3CifCNoLFPYxpUaYC7o+x7XBDpxnSOJB7h0LVD6lfiIW5k3chzjIPGgSa+Tbgv6D5aB7amkU8jHLRSnF0IUTjy+V26SAIpSqfcHDi+Xk0cL/59q92/kZo0NukNjm4F7i7DmIHhqoG98Xs5ePUgRxKPWOoK/kuDhjDPMBpVaUQ973rU8a5D3cp1qexc2VbvqkxKykri5M2THL9+nGM3jnHixgnOJZ9DIe+vDketI018m9AioAXN/ZvTxKcJrvqKu+uSEMK25PO7dJEEUpQuKZchaon6lfbPFKjWAer3VFdTh7a2Se3GHFMOx64fw3DVwKHEQxxNPMrl9Mv5Huvn4kftyrWp7lk9z1cV5yrlZgpcURSuZV7jfMp5zqec50zSGU4nneZM0hkSMxPzPSfQLZBw33Ca+DahiW8T6nvXx1HnmO+xQghRVPL5XbpIAinsT1Hg/C7YOx+O/wSKSW13D4AWg6D5QPAIKPYwrmde5+j1oxxNPMrJmyc5dfMUF1Mv3vF4N70bVd2rEuweTLBHMEHuQQS4BuDv5o+fqx9VnKuUmtXEueZcbmbd5GrmVeLT4rmcfpkr6Ve4knaFi6kXuZB6IU8pnf+vqntVGlRpQH3v+tTzrkf9KvXxcfEpwXcghKjo5PO7dJEEUthPdhocWqUuirl67FZ7aBtoNQTqPwp23qYu3ZjO6ZunOZ10mnPJ5zibfJbY5Fgup12+bQr3/9NpdFR2rkxl58p4O3lT2bkyXk5eeDh64O7ojrte/XLVu+Koc8RJ54STzgm9Vo9Oo0Oj0ahfaFBQMJlN5JpzMSnqfzNzM8nIzSAzN5PM3EzSc9JJyUkhOTvZ8t/rWddJzEzkZtbNe8ar1WgJcguiWqVq1PSqSS2vWtTyqkUNrxq46Qt+u4AQQhQH+fwuXSSBFCUv8bSaNBpWQPY/pV30rup9jS2HQkAj+8ZXANmmbC6lXSIuNY641DgupV3iUtolrmZcJSEjgcTMRMue3qWFVqOlinMVAt0CCXALUEdM3QIIdg8mtFIowe7Bsq+0EKLUks/v0kWWRIqSYTbBqY3qNHXsllvt3jXVRTERz4KLl93Cs5aTzokanjWo4Vkj39dNZhPXs65zPfM6N7NuciP7BklZSdzMvklaThppxjTLfzNzM8k2ZZNjyiHHlEO2KRsFBbNixqyYURQFNFhGJh20DjhoHXB2cMbFwQVXB1dcHFxw07vh6eRJJcdKlv9Wca5CFZcq+Lj44OXkVWqm1IUQQpRtkkCK4pV+HQ4shf2LIfnCP40aqPMwtBoKNTqCtvxtVafT6vBz9cPP1c/eoQghhBA2JwmkKB6XomDvQjjyHZiy1TaXytCsP7QYDJXD7BqeEEIIIQpPEkhhO8YsOPqDOk19+cCt9sBwaPUfaPQE6F3sF58QQgghbEISSFF0SRdg/yI4sAwyrqttOkdo+Li6KCa4hU1qNwohhBCidJAEUhSOoqiLYfYuhFMb4N8Vx5WC1dqNzQaAu+x1LIQQQpRHkkAK62QlQ/RKdYvB66dvtVd/QF0UU6cb6OTHSgghhCjP5JNeFMzV42rSGL0SjOlqm6O7Wn6n5RDwrWvf+IQQQghRYiSBFHdmMsKJX9Si3+f+utXuU1cdbQx/Bpw87BefEEIIIeyiVBTgmzNnDmFhYTg7OxMZGcnevXvveOyCBQu4//77qVy5MpUrV6Zz5853PV4UQmoCbJsGM5vAmgFq8qjRqVsLDvgJhu9RE0hJHoUQQogKye4jkKtWrWLkyJHMmzePyMhIZs6cSdeuXTl58iR+frcXYd66dSt9+/alTZs2ODs78/HHH/PQQw9x9OhRqlataod3UE4oClzco05TH/sRzEa13c0Xmg+E5oPAU76/QgghhCgFe2FHRkbSsmVLZs+eDYDZbCYkJIRXXnmFd955557nm0wmKleuzOzZs+nfv/89j5e9NP+fnAw4slat3Rh/+FZ7cEto9SI0eAwcnOwXnxBCCIF8fpc2dh2BzMnJISoqijFjxljatFotnTt3Zvfu3QXqIyMjA6PRiLe3d76vZ2dnk52dbXmekpJStKDLi+tn1NqNB7+GrCS1zcEZGj+l1m4MirBndEIIIYQoxeyaQCYmJmIymfD398/T7u/vz4kTJwrUx+jRowkKCqJz5875vj516lQmTZpU5FjLBbMZYv5Qp6ljNgH/DD57VVNXUjd9DlzzT8SFEEIIIf5l93sgi+Kjjz5i5cqVbN26FWdn53yPGTNmDCNHjrQ8T0lJISQkpKRCLB0yboDhG3U19c1zt9prdVEXw9TqDFqd3cITQgghRNli1wTSx8cHnU5HQkJCnvaEhAQCAgLueu6nn37KRx99xKZNm2jSpMkdj3NycsLJqYLew3clWh1tPLwGcrPUNmdPiHgOWr4AVWraNz4hhBBClEl2TSAdHR1p3rw5mzdvplevXoC6iGbz5s2MGDHijudNmzaNDz/8kI0bN9KiRYsSiraMyM1RV1HvnQ9x/1PeyL+xOtrY+GlwdLVffEIIIYQo8+w+hT1y5EgGDBhAixYtaNWqFTNnziQ9PZ1BgwYB0L9/f6pWrcrUqVMB+Pjjjxk/fjwrVqwgLCyM+Ph4ANzd3XF3d7fb+7C75EsQtRiilkD6NbVN66Cuom71IoREgkZj1xCFEEIIUT7YPYHs06cP165dY/z48cTHxxMREcFvv/1mWVhz4cIFtNpb9c6/+OILcnJyeOqpp/L0M2HCBCZOnFiSodufoqhFvvcuUHeMUUxqu0cgtBgMzQaAh//d+xBCCCGEsJLd60CWtHJRRyo7Vd2Tet9CuPY/q9WrtYNWQ6DeI6DT2y8+IYQQwsbKxed3OWL3EUhhhWunYN8CMHwLOalqm94NwvuoZXj8G9o3PiGEEEJUCJJAlnamXDi1QZ2mPrvtVnuVWmrSGPGsurJaCCGEEKKESAJZWqUnwoGlsG8RpMSpbRot1OmmTlNX7wD/c2+oEEIIIURJkQSytImLUkvwHP0eTDlqm4s3NOuvLoypXM2+8QkhhBCiwpMEsjQwZqkJ4975cPngrfagZmoJnoaPgz7/nXaEEEIIIUqaJJD2dPM87P8KDiyHzBtqm84JGj0BLYdCcHP7xieEEEIIkQ9JIEua2QyxW9RFMad+A/6pouQZ8k/txv7g5mPXEIUQQggh7kYSyJKSmQTR36qJ440zt9prdFS3GKzzMGh1dgtPCCGEEKKgJIEsbglH1aTx0CowZqhtTpXU8jsth4BPbfvGJ4QQQghhJUkgi4PJCMd/UneKOb/zVrtvfbUET5M+4ORhv/iEEEIIIYpAEkhbSo2HqCXqV+oVtU2jg/qPqKupq7UFjcaeEQohhBBCFJkkkLZy7EdYOxjMuepzNz9oMQiaD4RKQXYNTQghhBDCliSBtJXQ1oAGQu5TF8XUfxQcHO0dlRBCCCGEzUkCaSvufvDqQfAKsXckQgghhBDFSjZTtiVJHoUQQghRAUgCKYQQQgghrCIJpBBCCCGEsIokkEIIIYQQwiqSQAohhBBCCKtIAimEEEIIIawiCaQQQgghhLCKJJBCCCGEEMIqkkAKIYQQQgirSAIphBBCCCGsIgmkEEIIIYSwiiSQQgghhBDCKpJACiGEEEIIq0gCKYQQQgghrOJg7wBKmqIoAKSkpNg5EiGEEEIU1L+f2/9+jgv7qnAJZGpqKgAhISF2jkQI8X/t3WlMVPfXB/DvgDCAMCxBWapSUYsLo2AsKGnFVKIotSY2qUuj0BrtYmtbrVVr1bo0xUpsUkNbYxD7oi1R45YU1NhIWg1q1QHZtICISwuNYgcQN/D8X/ThPl4HgQvDDDN+PwmJ87tnLufcw505Hbi3RERa1dfXw9fX195pPPV08pSN8g8fPsRff/0FHx8f6HQ6q+67rq4O/fv3x9WrV2EwGKy6757A2esDnL9G1uf4nL1G1uf4uqtGEUF9fT1CQ0Ph4sK/wLO3p+4TSBcXF/Tr169bv4fBYHDaFwbA+esDnL9G1uf4nL1G1uf4uqNGfvLYc3CEJyIiIiJNOEASERERkSYcIK1Ir9dj7dq10Ov19k6lWzh7fYDz18j6HJ+z18j6HN/TUCM9hRfREBEREVHX8BNIIiIiItKEAyQRERERacIBkoiIiIg04QBJRERERJpwgNTgiy++QFxcHLy8vODn59eh54gI1qxZg5CQEHh6eiIhIQFlZWWqmNraWrz++uswGAzw8/PD/Pnz0dDQ0A0VtE9rLpcvX4ZOp2v1a/fu3Upca9uzsrJsUZJKZ471hAkTLHJ/++23VTFXrlxBUlISvLy80LdvXyxbtgxNTU3dWUqrtNZXW1uL999/HxEREfD09MSAAQOwePFimM1mVZw9+5eeno5nn30WHh4eiI2NxenTp9uM3717N4YOHQoPDw8YjUZkZ2ertnfknLQlLfVt374dL774Ivz9/eHv74+EhASL+JSUFIteJSYmdncZbdJS486dOy3y9/DwUMU4cg9bez3R6XRISkpSYnpSD3/77TdMmzYNoaGh0Ol02L9/f7vPyc3NxejRo6HX6zF48GDs3LnTIkbreU09kFCHrVmzRrZs2SJLliwRX1/fDj0nNTVVfH19Zf/+/VJQUCCvvPKKDBw4UO7cuaPEJCYmyqhRo+TkyZPy+++/y+DBg2X27NndVEXbtObS1NQkf//9t+pr3bp14u3tLfX19UocAMnMzFTFPXoMbKUzxzo+Pl4WLFigyt1sNivbm5qaJDIyUhISEsRkMkl2drYEBgbKypUru7scC1rrKywslBkzZsjBgwelvLxcfv31VxkyZIi8+uqrqjh79S8rK0vc3d1lx44dUlxcLAsWLBA/Pz+pqalpNf7EiRPi6uoqX331lZSUlMhnn30mbm5uUlhYqMR05Jy0Fa31zZkzR9LT08VkMklpaamkpKSIr6+vXLt2TYlJTk6WxMREVa9qa2ttVZIFrTVmZmaKwWBQ5V9dXa2KceQe3rx5U1VbUVGRuLq6SmZmphLTk3qYnZ0tq1atkr179woA2bdvX5vxly5dEi8vL1myZImUlJTI1q1bxdXVVQ4dOqTEaD1m1DNxgOyEzMzMDg2QDx8+lODgYNm8ebOy9u+//4per5eff/5ZRERKSkoEgPzxxx9KTE5Ojuh0Orl+/brVc2+LtXKJioqSN998U7XWkRee7tbZ+uLj4+WDDz544vbs7GxxcXFRvcl99913YjAY5N69e1bJvSOs1b9du3aJu7u7PHjwQFmzV/9iYmJk0aJFyuPm5mYJDQ2VL7/8stX41157TZKSklRrsbGx8tZbb4lIx85JW9Ja3+OamprEx8dHfvjhB2UtOTlZpk+fbu1UO01rje29vjpbD7/++mvx8fGRhoYGZa2n9bBFR14HPvnkExkxYoRqbebMmTJ58mTlcVePGfUM/BV2N6qsrER1dTUSEhKUNV9fX8TGxiIvLw8AkJeXBz8/P4wZM0aJSUhIgIuLC06dOmXTfK2Ry9mzZ5Gfn4/58+dbbFu0aBECAwMRExODHTt2QGx8C9Ku1Pfjjz8iMDAQkZGRWLlyJRobG1X7NRqNCAoKUtYmT56Muro6FBcXW7+QJ7DWz5LZbIbBYECvXr1U67bu3/3793H27FnV+ePi4oKEhATl/HlcXl6eKh74rxct8R05J22lM/U9rrGxEQ8ePEBAQIBqPTc3F3379kVERATeeecd3Lx506q5d1Rna2xoaEBYWBj69++P6dOnq84jZ+thRkYGZs2ahd69e6vWe0oPtWrvHLTGMaOeoVf7IdRZ1dXVAKAaLFoet2yrrq5G3759Vdt79eqFgIAAJcZWrJFLRkYGhg0bhri4ONX6+vXr8dJLL8HLywtHjhzBu+++i4aGBixevNhq+bens/XNmTMHYWFhCA0Nxfnz57F8+XJcvHgRe/fuVfbbWo9bttmKNfp348YNbNiwAQsXLlSt26N/N27cQHNzc6vH9sKFC60+50m9ePR8a1l7UoytdKa+xy1fvhyhoaGqN+PExETMmDEDAwcOREVFBT799FNMmTIFeXl5cHV1tWoN7elMjREREdixYwdGjhwJs9mMtLQ0xMXFobi4GP369XOqHp4+fRpFRUXIyMhQrfekHmr1pHOwrq4Od+7cwa1bt7r8c089w1M/QK5YsQKbNm1qM6a0tBRDhw61UUbW19Eau+rOnTv46aefsHr1aottj65FR0fj9u3b2Lx5s1UGkO6u79Fhymg0IiQkBBMnTkRFRQUGDRrU6f12lK36V1dXh6SkJAwfPhyff/65alt39o86JzU1FVlZWcjNzVVdZDJr1izl30ajESNHjsSgQYOQm5uLiRMn2iNVTcaNG4dx48Ypj+Pi4jBs2DBs27YNGzZssGNm1peRkQGj0YiYmBjVuqP3kJ4OT/0AuXTpUqSkpLQZEx4e3ql9BwcHAwBqamoQEhKirNfU1CAqKkqJ+eeff1TPa2pqQm1trfL8rupojV3NZc+ePWhsbMS8efPajY2NjcWGDRtw7969Lv//Um1VX4vY2FgAQHl5OQYNGoTg4GCLKwhramoAwCo9tEV99fX1SExMhI+PD/bt2wc3N7c2463ZvycJDAyEq6urcixb1NTUPLGe4ODgNuM7ck7aSmfqa5GWlobU1FQcPXoUI0eObDM2PDwcgYGBKC8vt/nw0ZUaW7i5uSE6Ohrl5eUAnKeHt2/fRlZWFtavX9/u97FnD7V60jloMBjg6ekJV1fXLv9MUA9h7z/CdERaL6JJS0tT1sxmc6sX0Zw5c0aJOXz4sF0voulsLvHx8RZX7z7Jxo0bxd/fv9O5doa1jvXx48cFgBQUFIjI/19E8+gVhNu2bRODwSB37961XgHt6Gx9ZrNZxo4dK/Hx8XL79u0OfS9b9S8mJkbee+895XFzc7M888wzbV5E8/LLL6vWxo0bZ3ERTVvnpC1prU9EZNOmTWIwGCQvL69D3+Pq1aui0+nkwIEDXc63MzpT46OampokIiJCPvroIxFxjh6K/Pc+otfr5caNG+1+D3v3sAU6eBFNZGSkam327NkWF9F05WeCegYOkBpUVVWJyWRSblNjMpnEZDKpblcTEREhe/fuVR6npqaKn5+fHDhwQM6fPy/Tp09v9TY+0dHRcurUKTl+/LgMGTLErrfxaSuXa9euSUREhJw6dUr1vLKyMtHpdJKTk2Oxz4MHD8r27dulsLBQysrK5NtvvxUvLy9Zs2ZNt9fzOK31lZeXy/r16+XMmTNSWVkpBw4ckPDwcBk/frzynJbb+EyaNEny8/Pl0KFD0qdPH7vdxkdLfWazWWJjY8VoNEp5ebnqtiFNTU0iYt/+ZWVliV6vl507d0pJSYksXLhQ/Pz8lCve586dKytWrFDiT5w4Ib169ZK0tDQpLS2VtWvXtnobn/bOSVvRWl9qaqq4u7vLnj17VL1qeQ2qr6+Xjz/+WPLy8qSyslKOHj0qo0ePliFDhtj0P2a6UuO6devk8OHDUlFRIWfPnpVZs2aJh4eHFBcXKzGO3MMWL7zwgsycOdNivaf1sL6+XnmvAyBbtmwRk8kkVVVVIiKyYsUKmTt3rhLfchufZcuWSWlpqaSnp7d6G5+2jhk5Bg6QGiQnJwsAi69jx44pMfi/++W1ePjwoaxevVqCgoJEr9fLxIkT5eLFi6r93rx5U2bPni3e3t5iMBjkjTfeUA2lttReLpWVlRY1i4isXLlS+vfvL83NzRb7zMnJkaioKPH29pbevXvLqFGj5Pvvv281trtpre/KlSsyfvx4CQgIEL1eL4MHD5Zly5ap7gMpInL58mWZMmWKeHp6SmBgoCxdulR1Gxxb0VrfsWPHWv2ZBiCVlZUiYv/+bd26VQYMGCDu7u4SExMjJ0+eVLbFx8dLcnKyKn7Xrl3y3HPPibu7u4wYMUJ++eUX1faOnJO2pKW+sLCwVnu1du1aERFpbGyUSZMmSZ8+fcTNzU3CwsJkwYIFdn9j1lLjhx9+qMQGBQXJ1KlT5dy5c6r9OXIPRUQuXLggAOTIkSMW++ppPXzSa0RLTcnJyRIfH2/xnKioKHF3d5fw8HDVe2KLto4ZOQadiI3vpUJEREREDo33gSQiIiIiTThAEhEREZEmHCCJiIiISBMOkERERESkCQdIIiIiItKEAyQRERERacIBkoiIiIg04QBJRERERJpwgCQiIiIiTThAEhEREZEmHCCJyCEdP34cbm5uuHv3rrJ2+fJl6HQ6VFVV2TEzIiLnxwGSiBxSfn4+hg0bBg8PD2XNZDLB398fYWFhdsyMiMj5cYAkIodUUFCA6Oho1Vp+fj5GjRplp4yIiJ4eHCCJyCHl5+cjKipKtWYymSzWiIjI+jhAEpHDaW5uRlFRkcUnkOfOnVMNkFVVVZg2bRqio6MRGRmJK1eu2DhTIiLn1MveCRARaXXx4kXcvXsXoaGhylpeXh6uX7+uDJD379/H1KlTkZ6ejgkTJuDWrVvw9va2U8ZERM6Fn0ASkcPJz88HAGzduhVlZWXIycnBvHnzAPw3OALAvn37MHbsWEyYMAEA4O/vDzc3N3ukS0TkdDhAEpHDyc/Px+TJk3Hp0iUYjUasWrUK69atg8FgwDfffAMAKCwsRExMjJ0zJSJyTvwVNhE5nIKCAjz//PPYuHGjan3OnDnKv4OCglBUVATgv7+ZNJvNCAgIsGmeRETOip9AEpHDKSgogNFobDMmJSUFFRUViIyMxJgxY/Dnn3/aKDsiIuenExGxdxJERB1VXV2NkJAQFBcXY/jw4fZOh4joqcQBkoiIiIg04a+wiYiIiEgTDpBEREREpAkHSCIiIiLShAMkEREREWnCAZKIiIiINOEASURERESacIAkIiIiIk04QBIRERGRJhwgiYiIiEgTDpBEREREpMn/AJ3CgoSkRpioAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "E,coeffs=coefficientReader('data/Cu63_legendre.dat')\n", "\n", "_,_=reconstructAngularDistribution(coeffs[70,:],plot=True,single=True)\n", "_,_=reconstructAngularDistribution(coeffs[70,:],plot=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Conclude how many orders could we disregard to arrive to a reasonable distribution? In many applications we consider a linearly isotropic distribution, does it seem as a good choice?\n", "\n", "> **Conclusion:** A linear approximation would certainly not be appropriate here, since we have a local minimum at ~$\\mu_c = 0$ which would not be captured by a linear function. An approximation using up to the third order seem to give a distribution that actually captures the shape of the total one including all 8 of the orders, so the 4 highest orders could be disregarded." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Energy dependence of the angular distribution\n", "\n", "We have studied the energy dependence of the coefficients and the shape of the angular distribution. Now we will visualize how the angular distribution depends on the incident energy of the neutron.\n", "\n", "For this we will create an \"NJOY-like\" plot as in the T2 page (NJOY is a nuclear data processing code widely used for similar tasks). We will visualize the angular distribution at 17 energies. The plot is based on the code at [Matplotlib's documentation on polys3d](https://matplotlib.org/3.1.1/gallery/mplot3d/polys3d.html). Everything is already written, you just need to execute the cell. It does depend however on function `reconstructAngularDistribution()`, so make sure that you have not altered the `return` statement of that." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D \n", "from matplotlib.collections import PolyCollection\n", "from matplotlib import colors as mcolors\n", "\n", "def polygon_under_graph(xlist, ylist):\n", " \"\"\"\n", " Construct the vertex list which defines the polygon filling the space under\n", " the (xlist, ylist) line graph. Assumes the xs are in ascending order.\n", " \"\"\"\n", " return [(xlist[0], -2.), *zip(xlist, ylist), (xlist[-1], -2.)] #here 0.0 is changed from original code to\n", " #-2.0 to modify reference level\n", "\n", "\n", "fig = plt.figure(figsize=(20,5))\n", "### NOTE: this line does not work for me on matplotlib==3.10.3, which is a rather recent version\n", "# ax = fig.gca(projection='3d')\n", "\n", "# this works with my version\n", "ax = fig.add_subplot(projection='3d')\n", "\n", "# Make verts a list, verts[i] will be a list of (x,y) pairs defining polygon i\n", "verts = []\n", "\n", "# Set up the x sequence\n", "xs = np.linspace(-1, 1, 100)\n", "\n", "# The ith polygon will appear on the plane y = zs[i]\n", "indices=[0,3,7,10,20,40,60,64,67,70,72,75,77,79,83,85,89] #index for some of the energies to include\n", "zs=[E[i]/1e6 for i in indices]\n", "\n", "for i in indices:\n", " mu,f=reconstructAngularDistribution(coeffs[i]) #reconstract angular distribution at a given energy\n", " ys = np.log10(f) #we will plot in a log scale\n", " verts.append(polygon_under_graph(-xs, ys))\n", "\n", "poly = PolyCollection(verts, facecolors=['white' for _ in indices],edgecolors=['black' for _ in indices])\n", "ax.add_collection3d(poly, zs=zs, zdir='y')\n", "\n", "ax.set_xlabel('cosine')\n", "ax.set_ylabel('Energy (MeV)')\n", "ax.set_zlabel('log10(Prob/Cos)')\n", "ax.set_xlim(-1, 1)\n", "ax.set_xticks([-1.0,-0.5,0.0,0.5,1.0])\n", "ax.set_xticklabels(['1.0','0.5','0.0','-0.5','-1.0']) #we need to swap the labels\n", " #since we introduced a '-xs' above. \n", " #This is just for aesthetics\n", "ax.set_ylim(0, 20)\n", "ax.set_zlim(-2, 1.5)\n", "\n", "ax.azim = -35\n", "ax.elev = 41\n", "\n", "x_scale=1\n", "y_scale=1.5\n", "z_scale=1.1\n", "\n", "scale=np.diag([x_scale, y_scale, z_scale, 1.0])\n", "scale=scale*(1.0/scale.max())\n", "scale[3,3]=1.0\n", "\n", "def short_proj():\n", " return np.dot(Axes3D.get_proj(ax), scale)\n", "\n", "ax.get_proj=short_proj\n", "ax.xaxis.labelpad = 20\n", "ax.yaxis.labelpad = 25\n", "plt.title('Cu-63 (n,el) ang. dist.')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the [LANL T2](https://t2.lanl.gov/nis/endf/intro20.html) site provides a very nice explanation on the shapes we can observe, here the same explanation is quoted:\n", "\n", "> At low energies for elastic scattering, the angular distribution will be isotropic in the center of mass reference frame. As the energy increases, the scattering typically becomes more and more forward peaked, and higher and higher Legendre orders will be needed. If the energy goes through a resonance, dramatic swings from forward scattering to backward scattering may be seen. At the highest energies, the scattering is basically the diffraction of a wave around a hard sphere, and the results are similar to diffraction patterns for light. The forward peak is like the bright central spot in a diffraction pattern, and the oscillations at larger angles are analogous to the fringes seen for light." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part II\n", "\n", "### Comments on slowing down due to anisotropy\n", "\n", "When discussing neutron transport theory, we might recall that scattering is taken into account through the double differential cross section $$\\Sigma_s(E'\\rightarrow E, \\mu_0)$$ where $\\mu_0$ is the scattering cosine in LAB. However most often we can assume that the scattering kernel does not depend separately on the energy and the angular variable. We can recall the relationship between energy in LAB before and after the event and scattering cosine in the CM: $$E_l'=\\frac{1}{2}E_l[(1+\\alpha)+(1-\\alpha)\\mu_c]$$\n", "\n", "Thus sampling the cosine according to the angular distributions studied here can be used to determine the energy after the scattering reaction.\n", "\n", "We also have to highlight that as discussed in an [earlier notebook](https://github.com/ezsolti/RFP/blob/master/Datalabs/Datalab04/4-Scattering_MCintro.ipynb), scattering is typically anisotropic in the LAB, even if scattering is isotropic in CM. The conversion for the scattering cosine from CM to LAB can be given as:\n", "\n", "$$\\mu_0=\\frac{A\\mu_c+1}{\\sqrt{A^2+2A\\mu_c+1}}$$\n", "\n", "Let's evaluate this relationship:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "muc=np.linspace(-0.9999,1,1000) #low boundary at -0.9999 to avoid dividing with zero for A=1\n", "style=['-','--','-.',':']\n", "plt.figure()\n", "for i,A in enumerate([1,2,12,238]):\n", " mul=(A*muc+1)/np.sqrt(A**2+2*A*muc+1)\n", " plt.plot(muc,mul,'k'+style[i],label='A={}'.format(A))\n", "plt.legend()\n", "plt.xlabel('$\\\\mu_c$')\n", "plt.ylabel('$\\\\mu_0$')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can clearly notice that the LAB scattering is going to be anisotropic (as we have already observed). This is espescially true for Hydrogen, for which one will always observe forward scattering.\n", "\n", "\n", "### Task\n", "\n", "Finally, you will investigate how neutrons loose energy in scattering if it is anisotropic in CM. Let's consider for simplicity that scattering is linearly anisotropic:\n", "\n", "$$f(\\mu_c)=\\frac{1+3\\bar\\mu_c\\mu_c}{2}$$\n", "\n", "where $\\bar\\mu_c$ is the average of the cosine in CM. One can see from the Legendre-expansion above that in fact $\\bar\\mu_c=\\omega_1^c$. Also from the figures showing the energy-dependence of the Legendre coefficients, we could notice that usually $\\omega_1^c$ is a positive value.\n", "\n", "Instead of doing the math (although you are encouraged to do it and compare it with your numeric results), let us try a Monte Carlo experiment and sample scattering cosines according to this distribution, then study the ratio of energies before and after the scattering to evaluate the logarithmic slowing down decrement ($\\xi=\\overline{\\ln\\big(\\frac{E}{E'}\\big)}$, the average of the logarithm of the ratio).\n", "\n", "The distribution has the following shape:\n", "\n", "$$p(\\nu)=c^{-1}(c_0+c_1\\nu)$$ within some domain $(a,b)$, and $c_1 \\neq 0$, $c=(b-a)[c_0+(c_1/2)(b+a)]$. We can find this distribution in the the [Monte Carlo sampler](https://mcnp.lanl.gov/pdf_files/la-9721.pdf) [Note: URL not found. [This](https://mcnp-green.lanl.gov/pdf_files/TechReport_1983_LANL_LA-9721-MS_EverettCashwell.pdf) seems to work.] as rule C12 (see p61). If $c_1>0$ (thus $\\omega_1^c>0$):\n", "\n", "$$\\nu=a+max\\Big\\{(b-a)r_1,\\: (b+a+2c_0c_1^{-1})r_2-2(a+c_0c_1^{-1})\\Big\\}$$\n", "\n", "where $r_1$ and $r_2$ are uniform random numbers between 0 and 1. Implemented this sampler for our linearly anisotropic distribution as `sampleLinear()`. Then visually test whether the sampler works as intended (hint: you can renormalize a histrogram of sampled values to get an empirical probability density function)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def sampleLinear(mubar,N=1):\n", " \"\"\"\n", " Function to sample a linear distribution given with\n", " p(x)=(c0+c1*x)/c; x in (a,b), c=(b-a)*(c0+(c1/2)*(b+a))\n", " for c1>0.\n", " \n", " This sampler can be found as rule C12 in LA-9721-MS.\n", " \n", " Parameters\n", " ----------\n", " mubar : float\n", " Average cosine in CM\n", " N : int\n", " Number of samples to be drawn\n", " \n", " Note\n", " ----\n", " The function does not need to be a general implementation in the sense that a,b,c0 might be hard coded to represent\n", " the linearly anisotropic probability density function.\n", " \"\"\"\n", "\n", " # since x \\in (a,b), and we are sampling \\mu_c we have that:\n", " a = -1\n", " b = 1\n", " \n", " # and with linear anisotropy formula described above, we have\n", " c_0 = 1/2\n", " c_1 = 3*mubar/2\n", "\n", " # MC algorithm:\n", " result = np.zeros(N)\n", " for i in range(N):\n", " r_1, r_2 = np.random.rand(2)\n", " \n", " p = (b-a)*r_1 # first term in max()\n", " q = (b+a+2*c_0/c_1)*r_2 - 2*(a+c_0/c_1) # second term in max()\n", " \n", " nu = a + max(p, q)\n", " result[i] = nu\n", "\n", " return result" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "<>:3: SyntaxWarning: invalid escape sequence '\\m'\n", "<>:3: SyntaxWarning: invalid escape sequence '\\m'\n", "/tmp/ipykernel_74095/3669534454.py:3: SyntaxWarning: invalid escape sequence '\\m'\n", " plt.title(f\"Emperical PDF for scattering angle in CM, $\\\\bar\\mu_c=${muC_test}\")\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, 'Probability density')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "muC_test = 0.33\n", "result = sampleLinear(muC_test, N=10_000)\n", "plt.title(f\"Emperical PDF for scattering angle in CM, $\\\\bar\\mu_c=${muC_test}\")\n", "plt.hist(result, density=True)\n", "plt.xlabel(\"$\\\\mu_c$\")\n", "plt.ylabel(\"Probability density\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now you will investigate the impact of anisotropy in the CM on the scattering. Use your `sampleLinear()` function to study the average cosine in LAB ($\\bar\\mu_0$), the logarithmic decrement ($\\bar\\xi$). Compare it with simulations you perform with assuming an isotropic CM scattering. Perform this for various mass numbers (eg. $A=2,12,238$), tabulate and conclude your results. Is elastic scattering more or less efficient at high energies where anisotropy is present? Is there some other reaction which might compensate the changed efficiency of elastic scattering at this energies?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Let's set up some functions which will be needed later." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def calculate_mubarC(E, A):\n", " return 0.07 * A**(2/3) * E/1e6\n", "\n", "def cm_to_lab(muC, A):\n", " muL=(A*muC+1)/np.sqrt(A**2+2*A*muC+1)\n", " return muL\n", "\n", "def energy_after_scattering(E, A, muC):\n", " alpha= ( (A-1) / (A+1) ) ** 2\n", " E_after = E/2 * ((1+alpha) + (1-alpha) * muC)\n", " return E_after\n", "\n", "def logarithmic_decrement(E, E_after):\n", " return np.log(E/E_after)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Now, let's create an energy space and write some MC simulations for sampling both isotropic and anisotropic scattering in CM, and immediately use those simulation results to calculate the mean scattering angle in LAB as well as the logarithmic decrement." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "E_vals = np.linspace(1, 16e6, 100)\n", "A_list = [2, 12, 238]\n", "\n", "def sim_iso_scattering(E, A, N=10_000):\n", " muC=np.random.uniform(-1,1,N)\n", " mu0 = cm_to_lab(muC, A)\n", " \n", " E_after = energy_after_scattering(E, A, muC)\n", " xi = logarithmic_decrement(E, E_after)\n", "\n", " mubar0 = np.mean(mu0)\n", " xibar = np.mean(xi)\n", "\n", " return mubar0, xibar\n", " \n", "def sim_aniso_scattering(E, A, N=10_000):\n", " mubarC = calculate_mubarC(E, A)\n", " muC = sampleLinear(mubarC, N=N)\n", " mu0 = cm_to_lab(muC, A)\n", " \n", " E_after = energy_after_scattering(E, A, muC)\n", " xi = logarithmic_decrement(E, E_after)\n", "\n", " mubar0 = np.mean(mu0)\n", " xibar = np.mean(xi)\n", "\n", " return mubar0, xibar\n", "\n", "results = []\n", "\n", "for j, A in enumerate(A_list):\n", " for i, E in enumerate(E_vals):\n", " mubar0_iso, xibar_iso = sim_iso_scattering(E, A)\n", " mubar0_aniso, xibar_aniso = sim_aniso_scattering(E, A)\n", " # append in dict format for later DataFrame usage\n", " results.append({\n", " 'A': A, 'E [MeV]': E/1e6,\n", " '$\\\\bar\\\\mu^{iso}$': mubar0_iso, '$\\\\bar\\\\mu^{aniso}$': mubar0_aniso,\n", " '$\\\\bar\\\\xi^{iso}$': xibar_iso, '$\\\\bar\\\\xi^{aniso}$': xibar_aniso})" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "df = pd.DataFrame(results)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for A in A_list:\n", " plt.figure()\n", " \n", " plt.plot(\n", " df[df['A'] == A]['E [MeV]'],\n", " df[df['A'] == A]['$\\\\bar\\\\mu^{iso}$'],\n", " label=\"isotropic in CM\"\n", " )\n", " \n", " plt.plot(\n", " df[df['A'] == A]['E [MeV]'],\n", " df[df['A'] == A]['$\\\\bar\\\\mu^{aniso}$'],\n", " label=\"anisotropic in CM\"\n", " )\n", "\n", " plt.legend()\n", " plt.title(f\"Average cosine of LAB scattering angle v.s. energy for A={A}\")\n", " plt.xlabel(\"E [MeV]\")\n", " plt.ylabel(\"$\\\\bar\\\\mu_0$\")" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for A in A_list: \n", " plt.figure()\n", " \n", " plt.plot(\n", " df[df['A'] == A]['E [MeV]'],\n", " df[df['A'] == A]['$\\\\bar\\\\xi^{iso}$'],\n", " label=\"isotropic in CM\"\n", " )\n", " \n", " plt.plot(\n", " df[df['A'] == A]['E [MeV]'],\n", " df[df['A'] == A]['$\\\\bar\\\\xi^{aniso}$'],\n", " label=\"anisotropic in CM\"\n", " )\n", "\n", " plt.title(f\"Average logarithmic decrement in LAB v.s. energy for A={A}\")\n", " plt.legend()\n", " plt.xlabel(\"E [MeV]\")\n", " plt.ylabel(\"$\\\\bar\\\\xi_0$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Let's tabulate some values:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
AE [MeV]$\\bar\\mu^{iso}$$\\bar\\mu^{aniso}$$\\bar\\xi^{iso}$$\\bar\\xi^{aniso}$
020.0000010.3333970.3356400.7252180.722819
100120.0000010.0541350.0569780.1580070.157532
2002380.0000010.0004460.0021120.0084000.008386
620.9696980.3342820.4253470.7243470.622757
106120.9696980.0512330.4170310.1584910.097356
2062380.9696980.0043390.8793270.0083670.001014
62210.0202020.3237260.8734000.7360110.129416
1621210.0202020.0567040.9247540.1575770.012545
26223810.0202020.0018820.9877790.0083880.000103
\n", "
" ], "text/plain": [ " A E [MeV] $\\bar\\mu^{iso}$ $\\bar\\mu^{aniso}$ $\\bar\\xi^{iso}$ \\\n", "0 2 0.000001 0.333397 0.335640 0.725218 \n", "100 12 0.000001 0.054135 0.056978 0.158007 \n", "200 238 0.000001 0.000446 0.002112 0.008400 \n", "6 2 0.969698 0.334282 0.425347 0.724347 \n", "106 12 0.969698 0.051233 0.417031 0.158491 \n", "206 238 0.969698 0.004339 0.879327 0.008367 \n", "62 2 10.020202 0.323726 0.873400 0.736011 \n", "162 12 10.020202 0.056704 0.924754 0.157577 \n", "262 238 10.020202 0.001882 0.987779 0.008388 \n", "\n", " $\\bar\\xi^{aniso}$ \n", "0 0.722819 \n", "100 0.157532 \n", "200 0.008386 \n", "6 0.622757 \n", "106 0.097356 \n", "206 0.001014 \n", "62 0.129416 \n", "162 0.012545 \n", "262 0.000103 " ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# We don't have nice numbers in our energy linspace. Let's find the closest values to these energies:\n", "target = [1e-6, 1, 10] # MeV\n", "\n", "col = df[\"E [MeV]\"].values # list values\n", "closest_values = [col[np.abs(col - t).argmin()] for t in target] # find closest values by minimal absolute difference\n", "selection = df[df[\"E [MeV]\"].isin(closest_values)] # select only the rows where we have those closest values\n", "selection.sort_values(by=[\"E [MeV]\", \"A\"], ascending=[True, True]) # sort by E, then A" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> First, some observations from the plots. We can clearly see the deviation in LAB observations when comparing isotropic and anisotropic scattering in CM. While both are anistropic for low $A$, the isotropic CM assumption results in $\\bar\\mu_0$ tending to $0$, which would indicate isotropy in LAB for heavier elements. But, when we account for anisotropy in CM, the relation between cosine of the angle and energy is drastically different. We get more like an asymptotic approach towards $\\bar\\mu_0 = 1$, meaning that with increasing energy there is more of a forward bias. This even seems to be so for the lighter elements. As the mass number increases, $\\bar\\mu_0$ for anisotropic CM seems to approach $1$ quicker. Considering that on top of the fact that with isotropic CM the anisotropy in LAB disappears for higher mass numbers, it becomes clear that anisotropic scattering in CM could be important for accurate modelling in nuclear reactors, where we have lots of heavy elements in the fuel.\n", "\n", "> Now, let's come back to the questions from before:\n", "\n", "\"Is elastic scattering more or less efficient at high energies where anisotropy is present?\"\n", "\n", "> It seems to be less efficient, and that's directly related to the forward bias that we see at higher energies. This means it would take more collisions to slow neutrons down to thermal. However, the absolute difference in $\\bar\\xi_0$ seems to become smaller as we go towards higher mass numbers.\n", "\n", "\"Is there some other reaction which might compensate the changed efficiency of elastic scattering at this energies?\"\n", "\n", "> Inelastic scattering occurs also in this energy range, which will reduce the neutron energy by transferring to excitation energy (and eventually a $\\gamma$-decay). Also, we could have neutron producing reactions and fission at these energies." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Acknowledgment\n", "\n", "Unfortunately many textbooks do not discuss in great detail the anisotropy of elastic scattering, therefore students might found themselves puzzled and confused about the validity of approximations often encountered in reactor physics. Among possibly many exceptions, the books of Z. Szatmáry ([Introduction to reactor physics](https://oktatok.reak.bme.hu/kdp/wp-content/uploads/sites/19/2019/09/Bevrf.pdf) - pp153-155 - and [Reactor physics calculations](https://oktatok.reak.bme.hu/kdp/wp-content/uploads/sites/19/2019/09/rfszam-2.pdf) - pp5-20 -) are known to the author, which place a great emphasis on discussing anisotropy in elastic scattering, therefore helping the reader to gain a physical insight in the topic. Unfortunately, these books are written in Hungarian, nevertheless, the mathematics and the graphs can be still appreciated by foreign readers. This notebook was greatly motivated by the books of Z. Szatmáry, and several of the figures created here are based on the figures in the referenced books. These books also include derived analytic formulas for $\\bar\\mu_0$ and $\\xi$ for linearly anisotropic scattering in CM, which can be used to compare the results empirically observed in this notebook." ] }, { "cell_type": "code", "execution_count": null, "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 4 }