{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The Effects of Interlaced Painting\n", "\n", "In this notebook, we'll outline the effects of using the \"interlacing\" technique when painting a density field to a mesh. Interlacing is designed to reduce the effects of aliasing in Fourier space, which is caused by the finite sampling of the mesh. See Section 3.1 of [Sefusatti et al. 2015](https://arxiv.org/abs/1512.07295) for an introuction to the interlacing technique. Aliasing leads to spurious contributions to Fourier space statistics, and the effects become worse as one approaches the Nyquist frequency, defined as:\n", "\n", "$$\n", "k_\\mathrm{nyq} = \\pi \\frac{N_\\mathrm{mesh}}{L_\\mathrm{box}}\n", "$$\n", "\n", "Interlacing is designed to remove the odd, high-frequency image multiples, thus reducing the overall aliasing contribution at $k < k_\\mathrm{nyq}$.\n", "\n", "Here, we will consider the effects on interlacing on the power spectrum when using a mesh of size $N_\\mathrm{mesh}=256$, as compared to the \"truth\", computed using a mesh with 2x resoluton, i.e., $N_\\mathrm{mesh} = 512$. We consider the effects when using Cloud in Cell (CIC) and Triangular Shaped Cloud interpoaltion methods. \n", "\n", "We correct the measured power spectrum for the effects of the interpolation window using equation 18 of [Jing et al. 2005](https://arxiv.org/abs/astro-ph/0409240). This amounts to dividing the power spectrum by:\n", "\n", "$$\n", "W^2(k_x, k_y, k_z) = \\Pi_i^{x,y,z} \\left [ \\frac{\\sin[\\pi k_i / (2 k_\\mathrm{nyq})]}{ \\pi k_i / (2 k_\\mathrm{nyq})} \\right ]^p,\n", "$$\n", "\n", "where $p = 4,6$ for CIC and TSC windows, respectively. To accomplish this correction in nbodykit, we use the ``CompensateTSC`` and ``CompensateCIC`` functions. \n", "\n", "**Note**\n", "\n", "We do not apply any additional corrections for aliasing outside of turning on interlacing. An additional approximation to correct aliasing is often used (see equation 20 of [Jing et al. 2005](https://arxiv.org/abs/astro-ph/0409240)), but we do not use that correction in order to focus on the effects of interlacing. See the functions ``CompensateTSCAliasing`` and ``CompensateCICAliasing`` for more info on these additional corrections.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from nbodykit.lab import *\n", "from nbodykit import style\n", "from scipy.interpolate import InterpolatedUnivariateSpline as spline\n", "\n", "import matplotlib.pyplot as plt\n", "plt.style.use(style.notebook)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initalizing a Log-normal Mock\n", "\n", "We start by generating a mock catalog of biased objects ($b_1 = 2$ ) at a redshif $z=0.55$. We use the *Planck* 2015 cosmology and the Eisenstein-Hu linear power spectrum fitting formula. We generate the catalog in a box of side length $L = 1380 \\ \\mathrm{Mpc}/h$ with a constant number density $\\bar{n} = 3 \\times 10^{-3} \\ h^{3} \\mathrm{Mpc}^{-3}$.\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "redshift = 0.55\n", "cosmo = cosmology.Planck15\n", "Plin = cosmology.LinearPower(cosmo, redshift, transfer='EisensteinHu')\n", "BoxSize = 1380.\n", "Nmesh = 256 \n", "\n", "cat = LogNormalCatalog(Plin=Plin, nbar=3e-4, BoxSize=BoxSize, Nmesh=Nmesh, bias=2.0, seed=42)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generating the \"Truth\"\n", "\n", "We generate the \"truth\" power spectrum by using a higher resolution mesh with ``Nmesh=512``, using the TSC window interpolation method. With a higher resolution mesh, the Nyquist frequency is larger, decreasing the effects of aliasing at a given $k$ value." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# use a high-resolution mesh to get the truth\n", "mesh = cat.to_mesh(window='tsc', Nmesh=512, compensated=True)\n", "\n", "# compute the 1D power of this mesh\n", "r = FFTPower(mesh, mode='1d') \n", "\n", "# create a smooth interpolation \n", "truth = r.power\n", "truth = spline(truth['k'], truth['power'].real - truth.attrs['shotnoise'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Effects of Interlacing\n", "\n", "In this section, we use a mesh of size $256^3$ to compute the 1D power $P(k)$ using the CIC and TSC windows and while using and not using the interlacing technique. We will then compare this $P(k)$ to the \"truth\", measured using the higher resolution mesh of size $512^3$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.9, 1.2)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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QNVXl5e72sdO3asDMPQxo0bdfJk7UnBfv36qXPnzjpy5Ig2btxY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\nG+pP//RP9eijj0qSfvu3f1u/8zu/syH7rdVqHZ351Wp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D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3h7GxMSwtLeHu7g4PDw+153727JnMdr9+/eTS2NrayvRRiB3AID37a+XKldGkSRNR+zGm\nKyW9nVYyXxVjTKssLS3RunVrXWeDFbJSpUoJj5XdhZKcnKywU2HevHnCEgmnTp1CVlaW6B9OT09P\nODg4YOnSpfnItfbcvn1b5o6RVq1aqd0nMjJS6bHCw8Mxbtw4GBkZYebMmfjxxx8B5FyUWblypaiG\ncmxsLDp37oyLFy8KU0gPHz4cixYtwps3b5Camorg4GB06dJFzEvEhQsX4OHhIdPhNH36dOzevRtA\nziAGIhJ9R4rYQQ0jRoxA165di3T9QFUjsksSCwsL4U5edZ2DmZmZou6q6dChA1q2bInr168DAI4f\nP46JEyeKys+LFy/QuXNnxMTEiFoXs6gMGzZMaCzv27cPBgYGGDZsmFxZt7CwQP/+/eHv748rV67g\n1atX2LNnj9zU7MVJx44dUa9ePTx+/BhEhGvXrqFz586i9hX7HZ8zZw7c3d0BQKN1lCMjI4VOx9Kl\nS2PSpEmi9ivKz9Pb2xsLFy4sssEyRkZGMoPR9E1gYCAiIiJUzjigzL179wAA1atXlxmMosjAgQOx\naNEiLFmyBADw22+/wcPDAzVq1NA80//n9u3buHLlisyFLsaKu8+pndasWTMsXrwYCxcuBACNBz7m\n5eTkhG7duuGff/5Beno6duzYAWdnZ2RnZ8t0eKtStWpVdOnSBWfOnAGQM4jtxx9/hJGRkdp9NR3Q\nK90GU1fnIyI8ffpUo+NrIjAwUNQFjrp168LGxgYfP35UOmVxQdqgxZGTkxOGDBkizMBw/PhxtG3b\nVtS+iYmJ6NSpE+7cuYNatWoByLkAvWTJEqHO5u/vj/nz54s6niZlUEz5k45Ht2/fFnXcadOmYeXK\nlfj06ROePXuGZ8+eoXbt2qL23bNnD7Zt24bLly+LSq8NZcuWxdixY4W6RGBgIGbMmCFq30ePHqFr\n166IiopSW9ezsrKCh4eHcOODj48PJk2ahNu3b+Po0aMFexGFaPbs2cLSDZcuXYJEIhHV75Geni58\njoaGhvjuu+8KNZ+61qtXL4wfPx6+vr4ACv57pkva7gt88eIFHj9+jPr166vdP3fmvLy/L0VRN+rY\nsSPu3bun0Y0+BWVjY6M2zbFjxzBt2jR07NgRR48eFdUnExoaqnA2v86dO+Pjx4+4efOm6D7Cq1ev\nCo9btWqFli1bKkw3evRoHDx4EEDObEgTJkxQe2zpes348ePzvVwtY0WlpLfTSubwP8aYVhERsrKy\n9OoOVKZ90mvYKVtD+e3bt3B0dJT7/+7duwsXql6/fo0jR46IOmdUVBT2798vs86crkiPfgWg9m7W\n8PBwhIWFiTr2N998I6xn9uzZM5w4cULUfuvWrYOTk5PM9GFmZmb49ddfhW1N7mxds2aNcPEvV5s2\nbdC/f38AOZ+v2Lw9ePBAZkpTVR2cRkZGsLOzg4ODQ4H/7O3tYWdnB3t7e5XppDspSzLpNevUTRXu\n7+8vc4eTss5bAwMDrFixQugEWrdunej4v27dOvTp00dhAzYxMRFDhgyBjY0NOnfurHRgTmEYNGiQ\n8HpOnDiB48ePy02bn0v6O/LTTz/hyZMnwnekODIyMpKJGdJ3gqtCRMLSMIDq7/jQoUOFwVjBwcFy\ndyoo4+fnJxx3/vz5oi+oF+XnaWZmpjDeiI1Fmv5VrlxZr0e0Z2dnY8yYMRoPFIuPjxeWo5g/f76o\ni26LFy/G2LFjAeTEt86dOyMiIkLzTCNnoN6oUaOwZ8+eEnNxijGgeLXTcuN9QaZq9/T01OpSJtLT\njfv4+GDDhg2YNGmSRkuheXl5CZ3bT58+lVkPXRU/Pz+N8qpJnS84OFhmMKmqpQvyw9/fX9TyShkZ\nGUhOToaVlRWqVq2qME1B2qDF1S+//CK0VbZu3Sp6OQRfX1/Uq1dPGFQA5AzWy71rF8hp74lZ2/7j\nx48aTR8upvxJxyPpO7IB5WWwYsWK+OGHH4RtsW1biUSCtWvXyrVti8KCBQuEO4CDgoKE2QTU8fLy\nQvfu3UXXd6Xjk5+fH37//XcMGzYMZcuW1TzTRaRt27bCsmVhYWE4f/68qP2OHDkiLJ0w4QTQWwAA\nIABJREFUYcIEUReVdUkbv2erV68uEXGtMPoCpWcSVSW3Dy/vlPhFUTcyMDBApUqVtNoOVPeXO4uJ\nMjdu3MDQoUPh6uqKY8eOiRpUEBkZiQcPHqBBgwZyz40ZMwaPHj0SBk+qk5ycLLT3cvuUlF3879Wr\nlzAw5PTp02q/Sx8+fBAGrNna2pb4wUesZChO7bT84IEFjDG1EhMTcfLkSSQmJuo6KyVGfn5UpPcR\ns7+m52jevLnQ2f706VOFUxfevHlTuHNemoGBAXbv3i10GM2ZM0ftmopEhClTpmDatGkya4Arew0F\n+SEWc5zGjRvLbF+7dk3lMX/77TeZRr30RZaEhATY2toK21ZWVjhw4IDQSTljxgy136eYmBisX78e\nq1evlhvlP2LECGG6vOPHj4vqwDx8+DBCQ0OFu7ykbdu2DdWrVwcAzJ07V21HYVJSEtzd3WXey7wD\nMwpLUcajvGVFm5VBbZXt9u3bC49VTXmblZWFFStWyHS+xcbGqjzu8uXLAeQMIlm7dq3avFy/fh27\nd+/G6tWrFT7v5eWFv/76CwkJCQgKChI6nYqCnZ0dOnbsCCBnmtjq1asrjTudO3cWZrz4888/0atX\nL5QpU0bjc2r6ueanTIhN169fP3zzzTcAgIMHD+LcuXNq9/nll1+EWSsA1d9xQ0ND/PXXX8LdIlOn\nTlV7EeP169fC3Sm9evXCvHnz1OYply4+z7z0vW5UmPHr7NmzmDt3rkadqUuWLEFMTAw6d+4sevpy\nQ0ND+Pr6CgNjXr58CTc3N43vwo2KikL//v0xd+5coQOLsZJC32ORtNx6h6r6hzrGxsbw8/ODubm5\nVvLUq1cvof0SFhaGc+fOibprTlqzZs2wYsUKYXvJkiVIS0tTuc/BgwexY8cOjc4jts5HRFiyZAnG\njBkj/J+Y91yT34nIyEhRs81dunQJWVlZ6NOnj9KLC9Kv69atW3LPf/r0CY8fP1Y7001+5bdOXpC6\nfJ06dYRl82JiYuDp6al2n/DwcCxbtkzhANGlS5fiyy+/FI6nrt4ukUgwevRojdpvtra2wsW7+Ph4\nhWUqNx6Fhobi2rVrwtJVgOoy6OnpiR49egDIGWihrh0O5AxAMDU1xeTJkxU+n596kNjPsVq1ati5\nc6ewPXHiRLV3LT99+hT79++XiRXqNG7cWJjNIjk5GQEBATKDDYqKpmX9jz/+QL169QDk9HuoG+iS\nmJiI77//HkBOn5S68qutdnRBaOP3rEyZMhr/DuQqaPnW5vehMPoCN23ahPv376s9d1BQEADIzTIk\nXTcq7H5UffHixQvhYv3Ro0eVDqSWSCTIzMxEcnIyQkND4eXlBTMzM4WzwlWuXBkLFizAmDFjRC1X\nsGDBAqEvcfny5TLLZORlaGiILVu2wNjYGK9evcKff/6p8thLly4V2p5+fn56PcCKsVzFqZ2WHzyw\ngDHGdCAhIUF4LPYOBel9pB+LSZ+RkaE2fenSpYXpzokI69atk3n+4cOHuHnzptK7QitWrIigoCDU\nqlULr169Qo8ePRAVFaUwbUZGBqZMmYK3b98K0xwrkjtqHYCoOy+UkX4vlP2gOzs7y6wZNnv2bIUX\n2HPfm8DAQOzbt0/4f+k7FZ4/fy53N1WrVq3w999/w9LSEmFhYejTp4/M65MWGRkJV1dXDB06VOky\nB+vWrcP48eMBAKNGjVI5JeKJEycwadIk7Ny5U+H6auXKlcOpU6fg5OSER48eYdCgQUrLWFRUFPr2\n7Yu6devCzs5O+P8VK1YU6yn8FMnb2abs88oPbZXt6dOnw8zMDACwa9cuhWmys7Mxbdo09OvXT+jk\nAXLWmj916hTi4+MVdobNnTsXixcvBgB8//33KqcPv3HjBvr3748NGzYIs3PklXcN2cuXL+PJkyeq\nX6AWSceu4cOHK+3gNjExkRn0MHz48HydT9M4r2mMz5tOXZxftWoVxo4dCyLCkCFD8O+//ypMJ5FI\n4OXlBR8fH5n3Yf/+/bh69arSi8lVq1ZFUFAQqlevjqCgIEycOFHphZXw8HB069YNycnJ6Nu3L/bu\n3avxOqpF/XkWN4UZvzw8PHDo0CF069YNr1+/VpmWiODj4wNvb280b94cAQEBomYryGVgYABPT0+c\nOHECtWvXxtOnT9GkSRP8+uuvau/YlUgkOHToEFxdXeHp6YlRo0aJPi9jTPu2bt0KIOeiU0GWx6pb\nt67MTDwFYWRkJLMMT79+/fK11MusWbOEwbsPHjzAiBEjlP72Hzp0CFOmTMGiRYs0OseYMWOEjvTd\nu3crHMBHRFi2bBns7Ozg5uYm/P/Zs2exb98+xMbGKq0vaFpvWbVqlcr2R2xsLCZPnoyyZcsKg1UV\nad++PZo2bQogpz556dIlmed37tyJFi1aiJ4eX1P5rZMXtC4/bNgwbN26FUZGRli3bh1++uknpRe0\nnj9/jq5du2Lu3LkyM9nlsrCwwNGjR4XBBYsWLcKePXsUHis1NRWTJk0SBt1pYs6cOQByfl8DAgIU\npklOTsb48eOxZs0amQFAq1atwu3bt5GUlCRXdo2MjLB//3706tULmZmZ6Nu3r8x02tKICNu3b4eX\nlxf+/PNPpXWKvHVpbfefDBgwAL6+vjAyMsLVq1cxYsQImZnhpD1+/Bhubm746aefNL4TX3ogQfPm\nzbU6Y4tYmpb1MmXK4PTp02jatCkePXqEIUOGKK2HxsbGomfPnnjz5g3atGmDkydPqp15UFvt6Pwi\nIuH3bMuWLQW6EN2xY0d8++23Gu9X0PKt7e+DtvsCs7OzMWLECHz48EHpOf/++2/4+/tj4MCBKpf5\nk+7/K4x+VH0QExODHj16IDo6GkFBQbC0tISBgYHCPyMjI5iamsLKygpNmzaFt7c36tatqzSW/vDD\nD2jfvj26dOmicPAfkPOdWLNmjTDjzMKFC0XdNNCoUSOhbfjNN98gJCREYbojR45g/fr1MDQ0hI+P\nD3r37i3ynWGMFSpirARp3bo1AZD5a926ta6zVex9/PiRAgMD6ePHj7rOSrGWkZFBSUlJ9ObNG1q0\naJFMOd2+fTtFRUVRUlKSkD4rK4uSk5MpKiqKNm/eLJO+Z8+e9PjxY0pMTKTU1FRhn5SUFPr48SNd\nv36dqlevLqSvWLEinT59mp4/f06xsbGUnZ2tMI/JycnUqVMnAkClSpUif39/ev/+PZ09e5aqV69O\nu3btUvs6Y2JiaMyYMWRgYEDlypWjpUuX0t27dyk+Pp6ePn1Ka9euJWdnZxowYADFx8fL7Z+SkkIJ\nCQkUGhpKX3zxhfAa7OzsKDAwkN6+fUsJCQmUlpamNA8SiYQ+ffpEsbGxdPbsWbKxsRGO07t3b3ry\n5Ince0dElJaWRpMnTxbS1qxZk/bs2UPh4eH06tUrOnLkCLVu3Zpq1qxJT548IYlEQv369SMAZGNj\nQyEhIXT+/Hnq1KkTpaenK8xbaGgotWvXjgBQ5cqVadWqVXT9+nWKi4ujhw8f0i+//EIODg70ww8/\nUFZWlsr3WiKR0NatW6l8+fJkYGBAQ4cOpaCgIIqMjKT379/TwYMHadCgQVS9enW6ePGi2s/uw4cP\n5O7uTgCoevXqtGnTJvrvv/8oLi6O7t69S4sXL6aKFSvS7NmzKT09nezt7eVirqmpKbm7u6s9V34V\nRjxKS0sTvjsRERF07949WrduHVlYWMi8NgsLC1q7di2FhobS27dvKT4+nlJSUuTKkSLSZfLMmTNk\nbW0tHNfFxYWuXLlCUVFRlJycTBkZGRrlf+/evUJex44dSydOnKBXr15RVFQUBQYGUrt27WjChAmU\nnZ1Nv/zyi9xnBoAcHR2VHv/w4cNCPOnWrRsdO3aM3rx5Q7GxsXTy5EkaN24cVapUiQ4ePKgyn/Pm\nzZM7r5iYoi2xsbFkbGxMAOjJkycq0168eJEAUOnSpSklJUX0OXLj171796hFixbC66xbty7duHGD\nYmNjZWJXeno6JSYm0tOnT6lPnz4y783GjRspMjKSkpKSKDMzk4hU/y4MGDCA7t69S69fv6bk5GSF\n+ZNIJLRx40aytbUlExMT+vrrr+natWsUExNDL1++JH9/f2rdujV9+eWX9OzZM/rxxx/lPjNDQ0Oy\nsrJS+h388OEDjRo1igwMDKh+/fq0detWevbsGcXGxtLNmzdp/vz5ZG1tTdbW1rRixQq1cU6Zovg8\nVdGHupFEIqHU1FRKSUmh2NhYev36NYWEhNCsWbPkPjdnZ2fy9/enp0+fUmRkpPAbqOy3Kq+wsDCh\nXp2RkUFxcXH0/fffU8WKFWnAgAH0559/0uXLl+m///6j+Ph4evPmDR0+fJi6dOlCAGjMmDGUmJhY\noNebkZFB69evJwcHBwJAZcqUocmTJ9POnTvp6tWrFB0dTRERERQSEkLLli2jJk2a0MiRIykiIqJA\n52VMn+lDLFImJSWFHj58SEePHqURI0bIxKTmzZtTQEAAXb9+naKjozU+dnZ2NnXo0IEA0Pnz5wuU\nz3fv3gm/J2fPni3QsQ4dOkSOjo4EgBo0aEB79uyhiIgIioyMpLNnz9Lw4cPJ3t6erl69SmfOnBHe\njw4dOog6/vnz56lcuXIEgPr06UNHjhyhZ8+eUXR0NAUFBVHv3r2pZ8+elJqaSrt27VJY55PuBsyt\nh7x8+ZImTpwoPG9mZkaBgYH04cMHmTrF+fPnCQB9+eWXdOLECbKzs6OxY8dScHAwffjwgaKioujy\n5cvk5eVFtra25OjoSLdu3VL7up48eULVqlUjAFSrVi0KDg6mqKgo8vX1JXt7ewoNDdX4s1AlNTWV\nEhMT6fHjx9SrVy+Zun5AQAC9evWKPn78KFPHz8zMpKSkJIqMjKSNGzfKvJ+TJ0+mBw8eUHR0NH36\n9Emjus2FCxeoUaNGBIBatWpF+/fvp5cvX1J8fDwFBwfTt99+S+XLl6dNmzapPVZKSgrNnDmTTExM\nCACNHDmSQkJCKDY2lp49e0a+vr5Ur149GjBgACUmJsp8L3fs2KH2+BKJRKhjmJmZ0c8//0zBwcH0\n/v17Cg8Pp3Xr1lHFihWFvLq5uSksf6NHj1Z4/MzMTFq2bBlZWlqSiYkJTZo0iS5fviz8vvv7+1Pn\nzp2pUaNG9ODBA7n9c/tbwsLCZMozAPrxxx/p9evXlJSUJLS1JBIJJScnU0xMDB08eFB43wBQu3bt\n6MaNGxQeHk4JCQlK35Pg4GBq0KABAaA6deqQj48PhYaGUmxsLN25c4fmzp1LlStXJm9vb7XvryKp\nqanCd37btm35OkZ+z6vpdySvpKQkoTxWq1aNVq9eTY8ePaK4uDgKDQ0lLy8vsrOzI3Nzc/rhhx+U\nHqsw29FiJSUlUWhoKB06dIi6d+8uU7bc3NzowIEDdPv27Xz9Fn/69Inq1KlDACgsLExputwY9Pbt\nW7n+xHHjxtGLFy8oMTFRpm7/6dMniouLo3Pnzsn0iVWrVo1CQkIoPj6ePn36JKRX1Tb19fWlJ0+e\n0Pv375W+zwXtCxw9ejQBoN9++408PT2pUqVKtHLlSnr06BHFx8fTs2fP6MSJE0Kf1dChQ+XavVlZ\nWRQREUF+fn7k7e1dJP2ouiRdH8rv34gRI1SeIysri+bPn09mZmY0ZswYOnz4ML148YIiIyPpn3/+\nEb4TNWrUoCNHjmj8Go4ePUpVqlQhY2NjWrBggVA2b926RV9//bXQN3vq1Kn8vk2smDA1NVVYRk1N\nTXWdtXwpqnaarq6H8sACVqLwwILCoc8dVsXJ4sWLRVXqcuV23Kj7k+6Iyu3IUvenrsFy4MAB6tq1\nK1WoUIHMzMyocePGdODAAY1e7/3798nT05OaNWtGZcuWJXNzc6pZsya5u7ur7LQT+xpUXQjNvQCi\nyXuXd//ff/+dXFxcqGrVqmRqakqVK1cmFxcX8vHxkWl8ffr0iaZPn05VqlShsmXL0tSpUykmJkbl\neyORSOjkyZM0ZswYqlOnDllYWFCZMmWoYcOGNGPGDLp//77K/fP6+PEj+fj4UNeuXcnBwYFMTU3J\nzs6O2rdvTxs2bJAZsCLGnTt3aPbs2dS4cWOysbEhCwsLatCgAU2ZMoXu3bsnpHNycqIqVapQ48aN\nyc3NjYYOHUrTp08nf39/jc6nicKIR2LLnJjvrTJiyySgvLNN3fEXLlxILVq0IDs7OzIxMSE7Ozvq\n0qULHTt2jCQSCRERLVu2jMqVK0fOzs701Vdf0YABA2jSpEn0+++/qzx+amoq+fn5Ub9+/cjR0ZFM\nTU2pfPny1LJlS/Ly8hJ1USA+Pp769+9PpUuXpi+//JK6dOmi9rzaNmXKFOrRo4fadNnZ2dS6dWvy\n9PTU6PhiypL055vbeaLuL7ezNz+/C4rExcXRunXrqFOnTlSlShUyNTWlatWqUY8ePWj//v1CZ9HC\nhQuF8tKuXTvq168fjR8/nubNm6d2QM2DBw9o/vz59MUXX1D58uXJ1NSUqlatSl26dKENGzaojZNi\nFPbnqYo+1I00iSv5LSu5YmJiyNHRUa7+EB8fT3v37qXx48dT8+bNhd8ga2tratCgAX333Xd0+/Zt\nrb5uiURC165dI09PT+rUqRM5OzuTlZUVWVhYUO3atcnNzY1WrVpF4eHhWj0vY/pIH2KRMmLbPqrq\n9KqEhYVR1apV6dGjRwXO6//+9z+qU6eOUF8qiLS0NNq1axf973//o+rVq5O5uTlVqlSJXFxcyNvb\nW7gIkp+BBUQ5A/iWL19O7dq1I3t7ezIzM6Ny5crRV199Rbt37xYGI/r7+5ONjQ3Vrl2b2rRpQ337\n9qXx48fL/BaKqYdIfz737t2jjh070ocPH4iIKDIykubPn09NmzYlW1tbMjU1pSpVqlDPnj3Jx8dH\n1ODbXB8/fqR169bRF198QWXKlCFLS0vq1KmTTNtDWzS5CJNrx44dovcRc5FeWlZWFh08eJCGDx9O\nNWvWpFKlSpGtrS01bdqUFi5cSK9evdLoeGFhYbR06VJq06YNVaxYkUxNTal27do0cOBAOnfunFDO\nNR1YkOvff/+lqVOnUv369alcuXJkYmJCNWrUoCFDhtC6deuEeNS9e3eys7OjRo0aUceOHWnIkCE0\nffp0tYORo6KiaNWqVdS+fXuqXLkymZiYkL29PXXt2pX+/PNPpYMixcacxYsXC++TNmJUZmYm/fXX\nXzRkyBBycnIic3NzKlu2LDVt2pTmz59PL1++FP3eKjJr1iyytrZWOnC4MOTnO6JMWFgYLVu2jNq0\naUOVKlUiExMTqlKlCrm4uNDvv/9Ob968Ubt/YbajxRDbZtMklku7fv06Va5cWeVvudgYJP0eaPoZ\nato2VSa/fYGenp60fPlyIUZdvHiRBg8eTLVq1SIzMzOysrKiOnXq0Pjx45XeOKOrflRdeffunejP\nWdnf8uXLRZ3rv//+o3nz5gn9hObm5lSjRg0aOHAg+fv7q7z5S52EhARatWoVtWvXjsqWLSv0T/Tt\n25d27txZoGOz4oMHFuSPrq6HGhAV08VjGFOgTZs2clOmtW7dWul0OkychIQEXLx4Ee3bt4e1tbWu\ns8M+Q0QEiUQCiUSC7OxsSCQSEBEsLS11nTVWxAojHuWuF2diYgJjY2PhL3fbyMgI2dnZyMrKEv4y\nMzNltp2cnDQ+L+UM8BTKdu6foaGh1tYO1mffffcd7O3thWlVGStO9KFulJmZiTdv3sjEq7zxy9DQ\nUGXsMjExQZUqVXSSf8ZYwelDLCoJWrZsCXd3d8ycObPIznn27FlhybMOHTogODi4yM7N5Cmqk0sk\nEpXtzbx1+dx2qqmpKUxMTIow9/nj4eGB3bt3AwB27NiBMWPGFOh4HI8Kx5AhQ1ClShWsXbtWp/nI\nz3ekMPPyObejmWocixgrnszMzBQuQWJqaqp0uSF9VlSxSFfXQ40L9eiMsRLBysoK3bp1g7Exhwym\nG7lrgRkZGRWLThpWeAojHjk6OqpNY2hoqPWyl7vOnaZry5cU7969E9bUZay40Ye6kYmJiahBTaam\npjA1NS2CHDHGipo+xKLi7saNG3jw4AFGjx6t66wwHZJub2qyz+dcl8+L45H2vXv3DkeOHMG9e/d0\nnZV8fUcKMy/83WPKcCxijOmDkh6L+BeYMaaWoaEhTE1NudLOGNM5jkclx/3799GoUSNdZ4OxfOFY\nxBjTBxyLCm7Dhg0YNmwYbG1tdZ0Vxoo1jkfat2XLFnz11VeoW7eurrPCWLHBsYgxpg9Keiwqma+K\nMaZVnz59wvXr1/Hp0yddZ4Ux9pnjeFQyPH/+HO/evUPjxo11nRXG8oVjEWNMH3AsUi0zMxN///03\nVq9ejY8fP8o9Hx0djb1792Lq1Kk6yB1jJQvHI80QEYKCguDl5YV3797JPZ+RkYEtW7ZwfGJMQxyL\nGGP6oKTHIh5YwBhTKysrC+/fv0dWVpaus8IY+8xxPCoZdu3ahQkTJpTYKcFYycexiDGmDzgWqfbL\nL7+gf//+mD17Njw8POSe37hxI1xcXNCiRQsd5I6xkoXjkWZ27NiBzp07w9PTE127dpV7PiAgANbW\n1hgwYIAOcsdY8cWxiDGmD0p6LOLeXMYYY4wxVmTi4uKwYcMG3L59W9dZYYwxxlgJdvfuXeHx48eP\nZZ57+/YtVq5cidOnTxd1tgDk3K3MmC5xGdQt6fj07NkzZGZmwsTEBACQnJyM+fPnY9WqVTwQmzHG\nGGN6h2csYIwxxhhjRcbT0xN9+/aFo6OjrrPCGGOMsRJMeiaCsWPHCo+TkpIwYsQIfP3112jbtq0u\nsobY2FjhcWJiok7ywD5vXAZ1Szo+jRw5UhhUkJmZifHjx8PFxQXDhg3TVfYYY4wxxpTigQWMMcYY\nY6xI7N27F+fOncPatWt1nRXGGGOMlXAzZ85EvXr10KFDBwwbNgwZGRm4evUqOnfuDHt7eyxdurRI\n85OWloakpCQ8fPgQW7duFf7/wYMHOHDgAKKjo/Hp0ydkZ2cXab7Y54GIkJKSgri4OJw4cQKXLl0S\nnvP398e9e/eQmJiI1NRUHeby8zF8+HC4urqiYcOG+Oabb5CZmYl79+6hf//+iI6OxrZt22BgYKDr\nbDLGGGOMyeH5lBhjapmbm6NBgwYwNzfXdVYYY585jkfFFxHBx8cHhw8fhrW1ta6zw1iBcCxijOkD\njkWqWVlZ4d9//8WSJUvQo0cPfPjwAV988QWmTp2K0aNHF/lFu+7du+PChQty/5+ZmYnBgwcL2+fP\nn4erq2sR5ox9Dl69eoUaNWoofO7GjRto0qQJAMDR0RHh4eEaH5/jkWaMjY1x8uRJrFixAu7u7nj9\n+jUaN26M//3vf5g5cyaMjIx0nUXGiiWORYwxfVDSY5EB8aJarARp06YNrl69KvN/rVu3RkhIiI5y\nxBhjjDHGGGOMMcYYY4wxxhjLy8zMDBkZGXL/b2pqivT0dB3kqHjQ1fVQXgqBMaZWZmYm3r17h8zM\nTF1nhTH2meN4xBjTBxyLGGP6gGMRY0xfcDxijOkDjkWMMX1Q0mMRDyxgjKmVkpKCW7duISUlRddZ\nYYx95jgeMcb0Accixpg+4FjEGNMXHI8YY/qAYxFjTB+U9FjEAwsYY4wxxhhjjDHGGGOMMcYYY4wx\nphQPLGCMMcYYY4wxxhhjjDHGGGOMMcaYUjywgDHGGGOMMcYYY4wxxhhjjDHGGGNK8cACxphaRkZG\nsLa2hpGRka6zwhj7zHE8YozpA45FjDF9wLGIMaYvOB4xxvQBxyLGmD4o6bHIgIhI15lgTFvatGmD\nq1evyvxf69atERISoqMcMcYYY4wxxhhjjDHGGGOMMcbyMjMzQ0ZGhtz/m5qaIj09XQc5Kh50dT2U\nZyxgjDHGGGOMMcYYY4wxxhhjjDHGmFI8sIAxplZCQgKOHz+OhIQEXWeFMfaZ43jEGNMHHIsYY/qA\nYxFjTF9wPGKM6QOORYwxfVDSYxEPLGCMiSKRSHSdBcYYA8DxiDGmHzgWMcb0Accixpi+4HjEGNMH\nHIsYY/qgJMciHljAGGOMMcYYY4wxxhhjjDHGGGOMMaV4YAFjjDHGGGOMMcYYY4wxxhhjjDHGlOKB\nBYwxxhhjjDHGGGOMMcYYY4wxxhhTyljXGWCM6b/SpUvD1dUVFhYWus4KY+wzx/GIMaYPOBYxxvQB\nxyLGmL7geMQY0wccixhj+qCkxyIeWMAYU8vIyAhWVla6zgZjjHE8YozpBY5FjDF9wLGIMaYvOB4x\nxvQBxyLGmD4o6bGIl0JgjKmVmpqK0NBQpKam6jorjLHPHMcjxpg+4FjEGNMHHIsYY/qC4xFjTB9w\nLGKM6YOSHot4YAFjTK2MjAy8fv0aGRkZus4KY+wzx/GIMaYPOBYxxvQBxyLGmL7geMQY0wccixhj\n+qCkxyIeWMAYY4wxxhhjjDHGGGOMMcYYY4wxpXhgAWOMMcYYY4wxxhhjjDHGGGOMMcaU4oEFjDHG\nGGOMMcYYY4wxxhhjjDHGGFOKBxYwxtQyMzNDrVq1YGZmpuusMMY+cxyPGGP6gGMRY0wfcCxijOkL\njkeMMX3AsYgxpg9Keiwy1nUGGGP6z9zcHPXq1dN1NhhjeiIjIwOxsbGIjY1FTEwMYmJi0L17d5Qu\nXbrQz83xiDHdysrKQlxcnPDdj42NRZs2bWBnZ6frrBWp4hqLnjx5gsOHD+POnTuIiIhAREQETExM\n4OjoiOrVq6NPnz7o2bMnTExM5PadMWMGmjdvjjFjxhR9xv9Pcc8/Y9pWXGMRY6zk4XjEGNMHHIsY\nY/qgpMciHljAGFMrKysLCQkJsLa2hrExhw2m/5KSkuDr6ytc+Jb+d8uWLWjdurWus1gs3bp1Cx07\ndkRSUpLcc2FhYUUysIDjUY6dO3ciPDxcZoBHbGwsRo0ahRkzZug6e6wE+vDhA5ydnfHx40e5586f\nP//ZDSwoTrEoKysLf/75J1atWoUnT57A2toagwcPhqurK5ydnVGtWjVER0fj/v05V9iCAAAgAElE\nQVT7WL9+PaZMmYJFixZh8uTJMDTMmeDO398f69evx+LFi2WO/e7dO2RnZ8PExAQmJiYwNTUVHgNA\nZmam8JeRkYHMzEwYGRmhSpUqepF/xoq74hSLGGMlG8cjxpg+4FjEGNMHJT0WlbxXxBjTuk+fPuHf\nf/9F+/btYW1trevsFHsSiQRz587F9u3bYW9vjz/++IMvdGtZbGwsvvvuO4XPpaWlFXFuSo6KFSti\n6tSpiI+Pxz///IM3b94UeR4KEo8MDAwKKVc5Nm3ahKlTpxbqOXItXrwYr169kvv/3r17F8n5Wf6d\nPXsW06dPR2xsLGbOnIkFCxboOkuilCpVCpMnT0ZiYiLOnTuHp0+f6jpLOlVc6kZnz57FzJkz8fDh\nQ1haWmLNmjWYNGkSLCwsZNLVrl0bbdu2xeTJk3HlyhVMmTIFf/31F/bu3YvExESlsc3d3R0XLlzQ\nKE8dOnRAcHCwXuSfseKuuMQixljJx/GIMaYPOBYxxvRBSY9FPLCAMcaKWEBAAFatWgUAiI+Px9Ch\nQxEeHl7oFz0/J46OjkhNTUViYiJOnTqFsWPHIjs7W9fZKvaqVq0KLy8vAEBcXBxq1KiBxMREHedK\nvNTUVKSnpyMxMRF37tzBpEmT8P79e+H51q1bY9euXbCzs1M4mjR338jISNy8eRMHDx7EuXPnhOfD\nwsKK5HUAwLNnz5CcnIy7d+9i7NixCgcZMP2TmJiIwYMHC3f9L1y4EO3atUPHjh11nDP1rKys8Ntv\nvwHIWQ6lXr16ePnypY5zxZQhInh5eeGHH34AALRo0QL79u1DjRo11O7brl07/Pvvvxg0aBBatWoF\na2trJCcnK0x7+vRpZGZmIikpCVFRUVi/fj22b98uk2b8+PH4+uuvYWdnBysrK4XLFOgq/4wxxhhj\njDHGGGNMPENdZ4Axxj43ISEhMtuvX79GbGysjnIjb8OGDXB1ddV1NgrEwMAA5ubmqFixIkaOHAk3\nNzddZ6nEKVu2LGrXrq3rbGjE3Nwc1tbWqFq1Kvr27Qt3d3eZ593c3FCrVi2ULl0a5ubmcn+5+7Zs\n2RLTpk1DUFAQzpw5AxsbGwBFO7DAxMQEtra26NixIyZPnlxk52UF8/TpU7mlBG7duqWj3OSfqakp\nmjVrputsMCWysrIwZswY4aJ848aNcerUKVEX5XNZWVnhyJEjsLGxQWhoqNJ0pqamsLS0hJ2dHZo2\nbYo1a9bIpVmzZg2aNm0KOzs7WFpawtTUVG/yzxhjjDHGGGOMMcbE44EFjDFWxL788kuZ7apVq6Jc\nuXI6yo28qKgoXWdB6ypWrKjrLJRIlpaWus5CgVhZWcls52fNq86dO+PQoUMAinZggTQu38VHnTp1\n5Mpdcb1AX9y//yXZvHnz4OfnByAnPpw+fRq2trYaH6dUqVI4cOAAzM3NRe+Tt3wDQOnSpTU6ry7z\nzxhjjDHGGGOMMcaU44EFjDG1cu/+5qn6tWPUqFGYMWMGrK2t0aBBA+zbt0+v3lvpqeFLCiMjI11n\noUTSRbnVZjzSVv47duyI/v3762xgAZfv4sPa2hr79u2Dk5MTbG1t8fPPPxfbGVX06XdLF/S1buTn\n54fVq1cL20uXLkWlSpXyfbyaNWvim2++EZ1e0fuhyXuk6/wzVtzoayxijH1+OB4xxvQBxyLGmD4o\n6bGIBxYwxtQqU6YMunTpgjJlyug6KyWCkZERvL298fHjRzx48ABt2rTRdZZk3L17V9dZYEwpfY1H\nY8aMQVxcHBITE3WdFabnevTogRcvXiAuLg6LFi3SdXZYPuljLIqMjMTUqVOF7YYNG2LcuHEFPu68\nefNgYmJS4OOoU9zzz5gu6GMsYox9njgeMcb0Accixpg+KOmxiAcWMMYYE7x+/Ro3b97UdTYYK3ba\ntWsHQHfLITDG2JIlS5CSkiJsf/vtt1qZ0aRcuXLo2bNngY+jTnHPP2OMMcYYY4wxxlhJxwMLGGNq\nJSYm4syZM3wn7mfg8OHDus4CYyrpazwqX7487OzseGABY58JfYtFL168wLZt22T+r0ePHlo7/sCB\nA7V2LEWKe/4Z0xV9i0WMsc8XxyPGmD7gWMQY0wclPRbxwALGmFpEhLS0NBCRrrPCClFKSgq8vb11\nnQ3GVNJlPCIiPH/+HJmZmQqfb9SoEQ8sYOwzoW91o4CAAGRlZQnbTZs2hb29vdaO36pVK60dS5Hi\nnn/GdEXfYhFj7PPF8Ygxpg84FjHG9EFJj0XGus4AY4wx3cvOzsakSZO0dlGUiHD58mUEBATgzp07\nePv2LcqUKQNHR0f07t0bw4YNQ7ly5bRyrsIUEhKC3bt34/Hjx3j27BksLS1Ru3ZtdO/eHR4eHgVa\nJ+nhw4fYu3cvLl26hLdv34KIUKNGDdStWxdjx47FF198IfpYb9++xZ49e/DPP//g9evXyMjIgL29\nPdq2bQsPDw80bdo03/lk/19qaipq166NsLAwVK9eXe75IUOGqF3HWyKRYP/+/Th9+jQeP36M169f\no1y5cmjWrBn69u2L/v37a2Xqb1XevXuHnTt34sKFC3j16hU+fvwIW1tb1K5dG0OGDMGwYcPw119/\n4dChQ9i/f7/a4/33338ICAjA+fPn8fr1axgaGsLe3h4dO3aEh4cHateuXaivR58REQwMDHSdDb3z\n33//Yd++fQgODsabN2+Qnp6OqlWrokWLFhg6dChatWqll++bPn+egYGBMttdunTR6vFr1aoFa2vr\nQotPxT3/jDHGGGOMMcYYY58DHljAGGNFJDMzE1FRUYiOjkZMTIzwb1ZWFmbPni2XPiIiArt27UJ0\ndLTMX1xcHF6+fCmke/nyJby9vREaGooXL17AysoKtWrVQt++fTFq1CiYmpoqzVN6ejpu3LiBRYsW\n4fz581p5nc+fP8fUqVNx9uxZNGjQAPPnz0fTpk0RFRWFv//+G99++y0WL16MTZs2YciQIXL7+/r6\n4uXLl/jw4QOio6OFf7ds2YL/x959h0VxvW8Dv5cq2AuKgIpgwxoUI5bYS8ASjRp77zFfE0tsUbDH\nHmvsJZrYosaODbtR0FixRYMVRRCRJn3P+wcv82NhG7CwA96f6+K6ZnbOnHN2d/Zh4TxzTsuWLQEA\nJ0+exLJlyxAQEIDSpUujW7duGDt2LCwtLQ3yHN68eYPRo0fj5MmTGD58OLy8vGBra4u7d+9i06ZN\nGD16NLy8vLBw4UIMHjw403VPmDABO3bsQPny5TF69Gi4u7vDxsYGQUFB8PPzQ58+fVC6dGls3boV\nTk5OGuuKj4/H/PnzMW/ePJiammLKlClo06YNLCws4O/vjzlz5mDJkiUYMWIEli5dCmtra736GBMT\ng8OHD+PQoUN49OgRgoODUbJkSdSqVQv9+/dH27ZtZTu4lpMiIiK0Hh86dKjW41evXsXIkSPx4cMH\njBo1CqNGjUKBAgVw7do1LFiwANu2bUP16tWxceNGNGzY0JBdB5AyKLp48WJMmzYN1atXx4gRI1Cp\nUiWUL18ekZGRuHPnDpYtW4YZM2bgyZMnqFChgtb6IiMj8dNPP2H16tUoVqwYvLy80LRpUyQmJuLi\nxYuYN28e5s2bh0mTJmHmzJlGHdArVaqUzjLv3r3D5cuX8dVXX2ktt3LlSvTq1Uvad3V1xcuXL6V9\npVKJ+Ph4xMXFYfr06ZgxYwYASDE8Nf6nbvfq1QvOzs4Z2kmNhallU2PhvHnz0K1bNwBAXFwc1q9f\njzNnzuDBgwdISEiAnZ0dWrRogaFDh6pNgNElISEBPj4+OHjwIAICAvD69WsULVoUVatWRe/evdG5\nc2eYmWXtT4jQ0FBMnjwZmzdvRr169TBixAi4ubnBwsIC9+/fx5YtW9CwYUO0bt0aK1euRLVq1dTW\nI4f3U07evHmD69evqzxWvnx5g7ZhYmKC1atXo06dOgatF8j7/SciIiIiIiIi+lQwsYAoFzX4owES\nleqn0JY7pVIJk0N5d/UUcxNz+PXxM2ofDh48iO7du2d4vEKFCmoTCx4/fowpU6ZkeDx1cE4Igdmz\nZ2PdunUYOnQopk6dilKlSuH8+fPw9vbG4cOH8csvv+DUqVOws7PLUM+LFy9QsWJFKJXKDMcuX76s\nceDmxo0bGv/h7+fnBw8PD4SHh+P777/HggULpMH+6tWro2XLlvD09ET79u3Ro0cPxMTEYNCgQSp1\nzJ49G8+fP89Qd0JCAoQQmDNnDnbu3IlJkyahX79+GDx4MP755x/8+++/2Lx5s9p+ZUZsbCw6deqE\nuLg43Lp1C5UqVZKOVa1aFV27dsW8efMwbdo0DBkyBPfu3cPixYv1GmgPCAhA27Zt8ebNG3h6emLP\nnj0oWLCgdNzFxQWtW7fGjz/+iCFDhqBJkyb4559/ULZs2Qx1xcTEoEuXLjh16hRq1qyJAwcOqAxO\n1q1bF7169ULjxo2xbt06PH36FIcOHdKafKFUKrFhwwZ4e3vj3bt36NmzJ7y9vVG5cmXExcXh77//\nxvjx41G+fHls3bpVz1c0/3j8+HG2zvX09ETr1q2xadMmFC5cWDpWq1YtfPPNN+jTpw8OHTqE5s2b\n4/fff1cbL7Ljjz/+wMSJEzF16lTMnj0bJiaqMd3NzQ39+/fHsGHD8OTJE611hYSEoF27drh16xaa\nN2+OXbt2oUyZMtLxBg0aSHeez507F0FBQdi8ebPRElLOnz+Ply9f4uDBg1i7dq30eO3atbFgwQIp\niaJevXq4ePEigoKC8NNPP8Hf3x8AYGZmhtWrV8PNzS3DDAy7du2Cj48PpkyZgri4OABAjx49MHLk\nSNSuXVsqV7FiRcTExGToW5MmTdQmFmiKhaltXL16VfqMd+vWDZ999hkCAgKwcuVKzJ07F4sXL8a2\nbdvUJnBpsnfvXkyePBn//fcfOnbsiIkTJ6Jq1aoQQuCff/7B0qVLsXjxYvzxxx9615nq/v37aNeu\nHV69eoW5c+di8uTJKtdgjRo10L17d+zatQuDBw9GvXr1sHfvXnh4eGSoSw7vp5w8fPgww2OlS5c2\neDt9+vQxeJ1A3u8/EREREREREdGngokFRLkoUZmYZxMLACBZmWzsLuRpn3/+OTZt2oTg4GD89ttv\n+Pfff7WW/+KLLxAWFoZ3795h9erVWLFihcrx2bNn4+zZs/D391dZh7hu3bpwcXGBh4cH7t+/j2HD\nhuHIkSMZBvTs7OxUBq327NkjJTi4ubnhzz//VNsvW1tbtY8/efIEbdq0QVRUFNq1a4elS5dmGLgE\ngHbt2mHChAlYsGABRo4cicaNG6NKlSrS8YCAAERGRuLmzZsYPnw4Xr9+LR3btm0bTp8+DT8/PxQu\nXBjdu3eXBn5+++03rFixAoUKFVLbP339+OOPePz4MW7cuKF2tgCFQoGpU6fi2LFj+Pvvv7F06VLU\nrVtX54DF06dP0bRpU4SHh8PFxQX79u1DgQIF1JYdOHAgdu7cCQD4+eefM7z3SqUS33zzDU6dOoUC\nBQpkSCpIVbRoUezevRu1atXCyZMnsWDBAnh5ealtMzo6GgMGDMD+/ftRrlw5XL16FW5ubiplXF1d\nMWzYMEydOhWtWrUyyiBxwYIF0ahRI5WEjNyS1WQKpVKJr7/+Gs7Ozti+fbva5I5ChQphw4YNOH/+\nPCIiIjBw4EDUqVNH5bORHe/fv8f333+PSpUqYdasWWo/m0DKgOuvv/6KgwcPaqwrLi4OX375JW7d\nugVbW1vs3btX7dIm5cqVw+bNm+Hh4YGtW7eiRYsW6N+/v0GeT2bVqFEDNWrUQNu2bXHx4kXcu3cP\nANCvXz98+eWXUrkCBQrAxcUFLi4ucHBwgIuLC4CU5I/hw4errbtq1aqoWrUqwsPDMWvWLHz77bdY\ntWpVhs/H+vXrER4eDl9fX/z11186+3z37l1ERkbi6tWrGDhwIKKjo6Vjt2/fRt++fbFixQp07NhR\nerxmzZrw8PBA/fr18fjxYwwaNAiff/65zpkLEhMTMW7cOKxatQrFihXD8ePH0a5dO5UytWvXxoAB\nA7B8+XI0b95cbczRJDAwEF988QXev3+Pn376CVOnTtVYtmfPnkhKSkK/fv3QsWNHHD9+HK1bt1Yp\nI4f305ixKL20vydT2djYGKEnWZPX+09kTHKKRUT0aWM8IiI5YCwiIjnI77Eo795+TESUx5QvXx6D\nBw/G1KlTNQ7ap2VqaooSJUqgSpUqWLJkicpg5OXLl3H8+HGcPHlSJakg1ZdffindaX/s2DHcvXs3\nQxkzMzM4ODhIPyVKlJCOWVpaqhxL+6NuCuzk5GT06tULUVFRAIA5c+ZoHLgEgAkTJsDExAQJCQn4\n6aefVI4VKlQIdnZ2aN++PUaNGiU9HhYWhhkzZmDXrl3S3d5pB+bNzc11rm+vS3JyMn777TdERkbC\n09MTR48eVVtOoVDg559/lvanTZsGIYTGepOSktC7d2+Eh4cDAFatWqUxqSAwMFBKKgBS7sxNb9Wq\nVTh27BiAlOn3tQ3w1ahRA506dQIAzJs3D2FhYWr717VrV+zfvx/FihXD6dOnMyQVpLKwsMCiRYvQ\nuHFjtddVTjMzM0PJkiWzPBV7ZkVGRuLu3buYOHEitmzZkqU6rl+/joCAANy5cwetWrXSOPNB6dKl\nMW7cOADAx48fVa6x7Lpy5Qrev3+POnXq6FySwMrKSu1d4qmmTp2KmzdvAkj5LKtLKkjVrl07aerx\nyZMnIzHRuMl1JiYmGDhwoLR/7tw5jWWrVauG5s2bAwDu3buHyMhIrXVXqlQJRYoUwdy5c9Um3fTu\n3RujR4/Gvn374OrqqrOvhQsXhr29Pbp27YqePXtKjyclJWHgwIHYvXu3SlJBqqJFi2LAgAEAUq6j\n9IlJ6QkhMGrUKKxatQrm5uY4cuRIhqSCVCYmJhg7dixGjx6tNjapk5CQgG+++Qbv379HxYoVMXPm\nTJ3n9O3bF61bt0ZycjJ69+6NN2/eaOyPsd7P3I5F2qh7ffLSwHxe7z+RMckpFhHRp43xiIjkgLGI\niOQgv8ciJhYQERlBZu9CNjMzk5YmEELgxx9/xPr167UOpDdp0kTaPnv2bNY6qqe9e/dK6yNXrlxZ\n46B0qlKlSqFu3boAUpaIePfundpyaWdH2LJlC9q3b6+yLMCMGTPwxRdfwNXVFdu2bdM6zb8+QkND\nER0dDSEEHj16hLFjx2osm/Y5Pnv2DPfv39dYdufOnbh69SqAlMGtFi1aaCybPkGhSJEiKvvR0dGY\nNWuWtJ92bXBN2rRpAwCIj49XO4X59OnTcfLkSQApSRK6rk+FQoFFixbp/Xrv3r0btra2KFWqlEF+\nihcvrvV46dKlVQYb9bVw4UKVegoXLoyiRYuidu3aWLRoUabrSxUYGAggZYD18uXLWuv6/PPPpe0j\nR45kuc30Uq/Pf//9V2sSTKr69eurffzly5dYuXKltK/r+lMoFNL19+bNG/j4+Ojb5RyTdmmAkydP\nSgk/6nzxxRcAUt67AwcOaK330qVL6Nu3L4oVK6a1nEKhyPTvgLTLTGzcuBGtW7dGvXr1NJbPTPxf\nv349Nm3aBAAYMWIEGjdurLM/P/74I8qVK6ezHABs2rQJ//zzDwBg0KBBOhNbUo0cORJASlzWloxg\nrPczNjYWn332mcHimj4/5cqVk5J60lL3mdb3dZaDvN5/ImOKi4vDgwcPpBm8iIiMhfGIiOSAsYiI\n5CC/x6L8mS5BRCRzmu5W1yY1w02pVMLKygo1a9bUWj7tXcQRERGZbi8zli5dKm2nDtzo0rx5c1y/\nfh2JiYm4ffs2WrVqlaFM2qw+X19fzJ8/X+W4s7MzLly4kMVeZ1SyZEkULFhQWgdd3XroqaytrVGh\nQgVpOYmQkBDUqFEjQzkhBBYsWCDtd+jQQesSAs7Ozpg+fToWLVoEGxubDHetb9++XZp1oECBAjqT\nOABId+kCwLVr11SOBQYGYsmSJdJzGjFihM76gJS7qUuUKKHxTuK0unbtiiZNmug1oK1LZGQk/Pz8\n0KBBgwxJF2mlnYFDXyNHjpRmDABSvgS+ePECz549w7Zt2/S+Qzu91PXeU2m7rqpVqyZth4WFITk5\n2SADbKmzfKTOvjB//nyt9To6OqqdCWPVqlVISkoCADg5OcHOzk5n282bN8fixYsBpFx/qTNoGEv5\n8uXRuHFjXL58GYmJiTh48KDGRJRDhw5J2zt27NC4lENiYiL27dunc7A6VWZ/B6SNhZcvX1aZ1UQd\nfeN/RESEyqwxaa9/bUxNTeHg4ICXL19qLZeUlKQSw5o1a6ZX/enLbt68GdOmTYODg0OGcsZ6PxMS\nEjB58mTUrl1baywyJHNzc5QuXTrD42kT7lKFhoZKSz/IXV7vP5ExxcfH48mTJ7Czs8vS3xdERIbC\neEREcsBYRERykN9jERMLiIjyoLZt2+osk3YNn48fP+ZYX0JDQ+Hv7y/tV6xYUa/z0iZGPHnyRG1i\nQVqOjo5a79A1BHNzc6xduxZjx46FpaUlVq9erbV8+fLlpcSC9+/fqy3z5MkTaf1vAGjQoIHOfsya\nNQszZsxQu5xE6hIIAGBvbw8LCwud9bm4uMDExARKpRJPnjxRObZ8+XJpevoGDRqgUKFCOutLpW25\ni7TMzMzULtmRFREREShVqhTs7e1RtGhRg9SZqkiRIhkGLlOXFBkwYABat26tdap1Tdzd3TFmzBhs\n3rwZlStXhpeXl8ay5cuXl7aFEPjw4YPWpQb01a5dO+kaWLx4Mc6ePYuhQ4eic+fOKjODpOrcuTM6\nd+6c4fG0119WP+ty0LNnT1y+fBlAyowa6gaiHzx4gIcPH6Jly5Y4c+YMTp8+jZCQELUDu6dOnYKV\nlRUaNWqU011HtWrVdM4WoG/837x5s5SoVLFiRb3fU0C/z7+fn59K8kH16tX1rr9UqVKwtbVFcHAw\nEhMTcfjwYZXlcdIy1vtZsGDBHIlFmaVuYD4kJMQIPcmavN5/IiIiIiIiIqJPBZdCIMpF5ibmefbH\nFKZG70N2f/ITdXcSp5f2rvicTCxIHcxJpe+d4mkHS/UZbHR2dtZ6p7+h9O3bF6GhoXj16hW++uor\nrWXTDqxFRUWpLePr66uyr897l77utC5evCht6/tam5iYoHjx4gBUX2shBP766y9pn3eHamZqaorh\nw4dn6VyFQoHly5cjKioKN27cQNWqVTWWTf++a7quMqtixYoqSzD8888/GDVqFMqWLQtnZ2cMGDAA\nW7ZswdOnTzXWER4ejoCAAGk/pz7ruaFbt27Sa3369GlpcD2tXbt2wdPTU5qSPzk5GX/++afa+nbt\n2oWePXvqnWyTHYaM//v375e2c+Lzn7rESqrM3tmfdsD+xIkTGsvl5ffTECpXrpzhsbw0MJ/X+09E\nRERERERE9KngjAVEucivj5+xu5AlERERuHDhApo2bWr0u/IoReogsb60Tb2eXUFBQSr7EydO1HpH\ndqqEhARpW5/BG0Pd8Z5ZQUFBOHLkCG7duoUHDx4gMjISMTExiImJwdu3b3WenzqjQarMvndpxcTE\nqExrfuPGDZQqVUqvc1NnVEj7Wr99+1blbmJ+vrXTZ+15fd2+fRunT5/GrVu3EBgYKF1TOflZHTt2\nLF6+fIlly5apPB4YGIjAwEBs27YNAODh4YEVK1ZIszWkev36tcr+wYMH9br+0i6BIZeBWltbW7Ro\n0QK+vr5ISkrC/v37MWzYMOm4EAI7d+7EnDlz0L59exQqVAjR0dHYuXMnRo8erVJXbGwsDhw4kKXZ\nLLLCUPFfCKGyNEpOfP4DAwOlbTMzM71mWEkr7Qwq2pJe8vL7aQjly5dHrVq1cPfuXemx9L+bDWHi\nxImoV68eevToYdB683r/iYiIiIiIiIg+FUwsICKdLCwsUL58+UwPCFDOyeya68nJyTnUE+DDhw8q\n+7t27cJnn32m9/lmZmZqp6JOT5+13A3p0qVLmDlzJnx9fSGEQO3atdGmTRs0aNAA9vb2KF68OAYN\nGgQ/P+0JQ+/evVPZz8xSA+mlf6179+6NefPmZaqOtHePpx8ozq11wrPDmPEou6+PUqnEtm3bsHTp\nUty9excKhQKtWrVCu3btUK9ePdjY2KB48eKoUqWKgXqsSqFQ4JdffoGnpyeWLl2Ks2fPIj4+PkM5\nHx8fuLm54fjx43B3d5ceT3/9TZgwQePU9Jro81nPLT179pRmFNmzZ4/KQPTNmzcRFBSE9u3bw9ra\nGl26dMH27dtx+fJlPH/+HBUqVJDKHj16FGXLloWrq2uu9Duz8V+pVKp9PDw8XOX9z4nPf9q7zrOy\nppyVlZW0rSuRK7ffT7l9N/rqq69UBuZ9fX0xd+5cg7Zx8uTJHPtdnNf7T2QscotFRPTpYjwiIjlg\nLCIiOcjvsYiJBUSkk5WVFerUqWPsbpBMpV//3draOsM69YZgaWlp8DrViYqKwvfff48tW7YAAOrX\nr49ly5ahYcOGGZZi0GegLP1gXXR0tN6zDKSnbur57LzWSUlJKvuZHbA0BmPGo8KFC6NPnz4q69fr\n699//8WgQYPw999/A0hZcmPmzJlwcnIydDd1atOmDdq0aYP4+Hhcv34dly5dwqVLl3Dx4kVpRoyI\niAh069YNN2/ehI2NDYCMn3VTU9Mc+aznlq+//hqjRo1CUlISzpw5g5CQECnxYefOnfjqq6+k97pX\nr17Yvn07gJTkqUmTJkn17Ny5Ez179syVpVoMKTc+/2k/K7GxsRBCZOp1io2NVVuXOrn9fsrtu1HP\nnj0xd+5caYYQf39/ldfAEN68eZNjn/m83n8iY5FbLCKiTxfjERHJAWMREclBfo9F8piPlohkLTk5\nGVFRUTl61zvlDc+ePcP58+dVHku/RIGh1oQ3hri4OHTq1ElKKujXrx8uX76MRo0aZXnQsGzZsir7\n4eHhWe6flZWVSnJBdl9rW1tblf3o6Ohs1ZcbjBmPTE1N8fvvv0sD7fp6+hm/XicAACAASURBVPQp\nmjdvLiUVrF27Ftu3b8/VpIK4uLgM685bWlqicePGmDRpEg4fPow3b95g48aN0lT7QUFB+OWXX6Ty\n6a/lvPxZB1ISddq1awcg5a7+ffv2Sdu7d+9Gz549pbKtW7eWEoJ27NghPR4ZGYmjR4+iV69eudhz\nwyhZsqRKMkFOfP7TXjPJyckqS+Do4+PHj2rrUie330+5fTeqUaMG+vTpI+0LIeDj42Ow+kNCQvDu\n3TuDLgmTVl7vP5GxyC0WEdGni/GIiOSAsYiI5CC/xyImFhCRTtHR0Th37lyeGHSknHXu3Dl4e3ur\nPNa4cWOVddN1TVctZ1OnTpXW1a5Tpw42bdoEc3PzbNWZfhAj7ZrjWdGsWTNpO7uvtZ2dncp67Xnh\nM57X4pEQAt26dcObN28AAKNHj8aIESNyvR/Lly9XmRpeHSsrKwwZMgQXL16Ukk4OHjwoHS9atKjK\n9PB5+bOeKu1g8+7duwEAf//9NyIjI6VBagAwNzdH9+7dAQB37tzB/fv3AQAHDhyAi4sLqlWrlou9\nNgxTU1PUqFFD2s+Jz1SjRo1U9tMvp6HL+/fvpW19BoRz8/2UYyyaNWuWyu+s1atXa1wKI7OOHj2K\n+vXr60zwyI683n8iY5BjLCKiTxPjERHJAWMREclBfo9FTCwgIqJsKVGiBL744gtp//r165k6Pzg4\nGE+ePDF0tzLt/fv3WLt2rbQ/fvx4nUkFiYmJah8/dOgQNm/eDAD4/PPPVe5wv3z5cqb6deXKFZU7\nwzt16iRt37p1S2Mf1BFCqLRvZmYGT09Paf/ly5eZ6pu+tm3bBhsbG5QqVSrbP05OTujTpw+cnJw0\nlrGxsZHNHeQnTpzAjRs3pP20U66ro+39XLRoUaavn1SxsbE4ceIE4uLidJatUaOGlED07NkzlWNp\nr7/Mftbj4+Nx7dq1TJ2T0zp16iQtaXLhwgW8efMGu3btwtdff51h+ZXevXtL26l3uadOm59XdezY\nUdrOic+/h4cHzMz+b+W11AF8fYSFhakkr6S99jTJzfdTqVRizJgxWmORoX8cHBxw9epVjX2qWLEi\n5s+fL+1fu3YNf/zxh17PRxshBDZt2oQff/wx23Vpk9f7T0RERERERESU35npLkJERJ8CKysraVvT\nND3R0dGwtrbO8PikSZOkJRJOnDiBpKQklcEkbSZPngwHBwfMmTMnC702nBs3bqis592gQQOd56Te\nha6urmfPnmHw4MEwNTXFDz/8gJ9++gkAcOTIESxevFhllgdNwsLC0Lp1a1y4cAH16tUDkLI2uJeX\nF16+fInY2FicO3cObdq00ecp4vz58+jbty9evXolPTZ69Ghp4ObKlSuZWgNd36SGPn36oG3bthnW\ndM+KyMhI+Pn5oUGDBihSpIjGciVLlsx2W4Zw6dIlabts2bIoV66c1vKarikg5Y5bGxubLE/l/fHj\nR5w5c0YlmUSThg0bAgDKlCmj8vi3336LxYsXIyYmBo8fP8bjx49RuXJlvdrfuXMnNm7cqPKaGFuR\nIkXQvn177Nu3D0II7N69G3/++Se2b9+eoWyjRo1Qrlw5vHz5Ejt37sT3338PX19flYSkvGbo0KFY\nuHAhEhMTcevWLXz8+FFtjFdHn89/iRIlMHjwYKxfvx5AymB/ixYt9Krf19dX2nZ3d88w+4E6ufl+\nmpiYYP78+ahVq5bWWGRIFhYWOpdiGTt2LG7fvo1t27YBSPkd26FDB5XZaTLrwIEDSEhIQJcuXbJc\nh77yev+JiIiIiIiIiPIzzlhAREQAVNevfvfundoyr169QoUKFTI8/uWXX6J169YAgBcvXuDAgQN6\ntRkcHIw9e/agR48eWeixYYWHh6vsp66/rcmzZ8/w9OlTver+3//+BwcHBwDA48ePcezYMb3OW7Fi\nBZycnFSmn7e0tMTPP/8s7S9fvlyvugDgl19+UblLF0gZQO7cuTOAlPdX374FBAQgNDRU2tc2XbWp\nqSlsbW3h4OCQ7R97e3uUKlUK9vb2WsulTZQxprTXla5rCgDOnj2bk93Re9A0td81a9ZUebx06dKY\nMmWKtK/v9adUKrFs2bIM11+qBw8ewN3dHSVKlMDw4cMzNRNHdqW9Q33WrFlQKpVo2bJlhnImJibS\nTBiBgYGYOHEi6tevrzYm5hWOjo4YPXo0gJREgS1btuh1XkhICO7duyfta/v8e3t7o2jRogCALVu2\n6L2+XGpfTExMsGjRIr0TnnLz/bS2ttYZiwz5U7p0aZ2vg0KhwLp166SlH16/fo0vv/wSkZGRej+v\ntAIDAzFp0iTs3LlTr4S47Mrr/SciIiIiIiIiys/43xUi0gv/GWtYQohsnaPP+Zlto27dutKdqo8e\nPVKZfj/V9evXpTvn01IoFPjjjz+ku7EnTJigsja2pv6NHDkS3377LWrVqqXzOWTlNctMPbVr11bZ\n9/Pz01rn/PnzUaJECWk/7d34ERERKndXFi5cGHv37pWWVhgzZozOQZJ3795h5cqVWLp0aYbPX58+\nfTBy5EgAKXex79+/X2tdAPDXX3/h9u3bmD59eoZjGzduhKOjIwBg4sSJOtd/ioqKQu/evVVey/SJ\nGTnJUPEo/bWQnWtMkzp16kjb9+/f1/q+JyYmYvHixXpfV6ky8zk5fPgwjh8/rrPfqXeLp50qP9Xk\nyZPh4eEBAFi/fr3OzwqQkoBgYWGBESNGqD0+dOhQ+Pn5ITw8HBs2bMCsWbN01mkonp6eKFSoEICU\n67h79+4aZ1xJu8TG1q1bs7wMQmavtZyM/z///DPq168PAJg9e7bWWTOAlGuyT58+iImJkR7T9vm3\ns7PD7t27YWJigufPn+s1O82BAwek63T+/Plo0qSJPk8FQO6+n3L9blSgQAEcOXIE3333HQDA398f\nHh4eeP36dabqefz4Mbp164bVq1fD2dlZr3PUXXuZvd6N2X+ivEiusYiIPj2MR0QkB4xFRCQH+TkW\n5d9nRkQGU7RoUbRv316645CyLyIiQtpOO/2+vuek3danfEJCgs7yhQoVwrBhwwCkDAKsWLFC5fi9\ne/dw/fp1jQMvpUuXhq+vLypVqoTnz5/Dw8MDwcHBassmJCRg5MiRePXqldYBxA8fPkjbaQexMivt\na6FpYLdq1aro27evtD9+/Hi1A+ypr82hQ4ewe/du6fGAgABp+8mTJ9JAXaoGDRrg4MGDKFiwIJ4+\nfYqOHTuqPL+03rx5g+bNm6NHjx4alzlYsWIFhgwZAgDo378/Dh8+rLYcABw7dgzDhw/Hb7/9hsKF\nC2c4XrJkSZw4cQJOTk64f/8+unXrpvEaCw4ORqdOnVCtWjXY2tpKjy9atCjTgz5ZYch4lP79zYnk\niH79+klLBSQnJ+N///uf2kG22NhYDBo0CPb29pg6dar0eOp1lZSUhBcvXqhN7NHn+k5r2LBhePLk\nicbj165dw8KFC+Hu7o4BAwZkOG5qaoo9e/agffv2SExMRKdOnTSu+y6EwObNm7FgwQJs3boVpqam\nasvdvHlTZX/Tpk1639meXdbW1vjqq6+kfW2Dy3Xq1EG1atUApPyB0L179yy1mdnfAdmJ/4D23wEF\nChTA4cOH4ebmhrdv36Jjx44aP8uRkZHo06cP4uLiVGZSWblyJQIDAzW20a5dO+zevRsFChTAzJkz\nsXbtWo2DzadOnUL//v0BpMw4MGHCBI31qpNb76fcvxuZmZlh5cqV2LZtG8qWLYu///4b1atXx/r1\n63XOCJKYmIhNmzahQ4cOWLt2rd7L7QBQm5SoK1lNTv0nymvkHouI6NPBeEREcsBYRERykO9jkSDK\nR9zd3QUAlR93d3djd4tICCFEQkKCiIqKEi9fvhReXl4q1+nmzZtFcHCwiIqKksonJSWJ6OhoERwc\nLNauXatS3tPTUzx48EBERkaK2NhY6ZyPHz+KDx8+CH9/f+Ho6CiVL126tDh58qR48uSJCAsLE8nJ\nyWr7GB0dLVq2bCkACCsrK/H777+Lt2/fitOnTwtHR0exfft2nc/z3bt3YuDAgUKhUIiSJUuKOXPm\niFu3bonw8HDx6NEjsWzZMlG1alXRpUsXER4enuH8jx8/ioiICHH79m1Rr1496TnY2tqKQ4cOiVev\nXomIiAgRFxensQ9KpVLExMSIsLAwcfr0aVGsWDGpng4dOoiHDx9meO2EECIuLk6MGDFCKuvs7Cx2\n7twpnj17Jp4/fy4OHDgg3N3dhbOzs3j48KFQKpXiq6++EgBEsWLFxJUrV8TZs2dFy5YtRXx8vNq+\n3b59WzRu3FgAEGXLlhVLliwR/v7+4v379+LevXti9uzZwsHBQUyZMkUkJSVpfa2VSqVYv369KFWq\nlFAoFKJHjx7C19dXvHnzRrx9+1bs27dPdOvWTTg6OooLFy7ofO9CQkJE7969BQDh6Ogofv31V/Hv\nv/+K9+/fi1u3bglvb29RunRpMX78eBEfHy/s7e0zxFwLCwvRu3dvnW0ZQ2xsrIiIiBCvXr0Shw8f\nFra2tip9L1y4sFi3bp14+PCh9HmMjY3V+HnR14sXL0SzZs2kdlq1aiVOnTolgoODxYMHD8T69euF\ng4OD8PT0FJGRkSIiIkI4ODgIAKJBgwbiyZMnYv78+WLKlClSnamfkzt37oj69etLdTs6Ogo/Pz8R\nHh4uYmJipPLe3t4CgBg9erRYvny5KFGihPD29hY3b94U79+/F8+ePROnTp0So0ePFqampqJly5Yi\nJCRE6/NKTEwUc+fOFQULFhTm5uZi+PDh4tKlSyI0NFQEBQWJ33//XbRu3VrUqlVLBAQEaK2rQYMG\nGa6lly9fZut1z4zDhw8LAMLOzk7n+z1r1iwBQLRu3Vrv+rXFpG7duolHjx6JDx8+iMTEROkcTfG8\naNGi4uTJkyIsLEzExMQIpVIphPi/3zFPnz4Vw4YNU3ktZ8+eLe7fvy9ev36tMTZFR0eL7777Tpia\nmgobGxuxYMECERAQIMWmxYsXi/Lly4t+/fqJyMhIKY6l/TE3NxdNmjTR+DrcvHlTOq9du3bi4MGD\n4uXLlyI4OFicPXtW9O3bV5iamorKlSuLI0eO6P36ppfT72deEx0dLWbOnClKlSolfScYN26c2LFj\nh7h+/bp4//69ePHihTh//ryYNm2aqFq1qvjhhx/U/o5OLz4+XkRHR4uQkBBx+/ZtMWTIkAzXxdCh\nQ8Xt27dFSEiIiI6O1ngNGqP/RERERERERGRcFhYWGf6XkPp/ZtLMWOOhTCygfIWJBTkjKipKnD9/\nXmXQmzIvdWBP10+qs2fP6lW+WbNm0jkVKlTQ65ynT59q7GdiYqLYu3evaNu2rbCxsRGWlpaidu3a\nYu/evZl6vnfv3hWTJ08Wrq6uokSJEqJAgQLC2dlZ9O7dW5w+fVrjefo+hwoVKmis4+nTp5l+7dKf\nv3DhQvHFF1+IcuXKCQsLC1G2bFnxxRdfiDVr1qgM2MbExIjRo0cLOzs7UaJECTFq1Cjx7t07ra+N\nUqkUPj4+YuDAgaJKlSrC2tpaFClSRNSsWVOMGTNG3L17V+v56X348EGsWbNGtG3bVjg4OAgLCwth\na2srmjZtKlatWpXpz+7NmzfF+PHjRe3atUWxYsWEtbW1qFGjhhg5cqS4c+eOVM7JyUnY2dmJ2rVr\ni1atWokePXqI0aNHi99//z1T7WVGduKRPteEup+zZ89mu99KpVL4+/uLCRMmiLp164oyZcoICwsL\nUbFiRdGhQwdx5MgRlQHQZ8+eiY4dO4qiRYuKChUqiAULFqgkmuj7OUn166+/iu+++04auL5165YY\nNGiQqFatmrC2thbW1taiYsWKonfv3uLw4cPSYLU+goODxZIlS0TTpk1F2bJlhbm5ubC3txdt27YV\nW7du1WsQ8e7du6JevXqiUKFConPnzsLZ2Vn4+/vr3YfsSkhIELVr1xY///yzzrIvXrwQ9vb24uDB\ng3rXr29M2rJli3ROZuO5vr9jvL29tfb133//FV5eXsLNzU2ULFlSFChQQFStWlX069dPXL58WSrX\nvHlzYWtrK2rWrCmaN28uunXrJkaOHClWrlyptX6lUilOnTolhg8fLqpVqyaKFCkirKyshLOzs+jR\no4fYvXt3pgee08vp91OIvPndKDExUZw9e1aMGTNGNG3aVFSqVEn6/VOtWjXh6ekp1qxZI96+fat3\nnWmTpvT90fS71xj9J8rr8mIsIqL8ifGIiOSAsYgob8pviQW5FYuMNR6qECIHFhQmMpKGDRtmmI7Z\n3d0dV65cMVKP8oeIiAhcuHABTZs2zb/Tt5CsCSGgVCqhVCqRnJwMpVIJIQQKFixo7K5RLstOPAoM\nDIS5uTnMzc1hYWEhbZubm0MIgcTERJWfpKQkJCYmwtbWFlZWVjn0jEgdV1dXbNiwAW5ubsbuCpFa\n/G6U4vXr10hKSsoQVy0sLFTiakJCgrRtZmYGOzs7Y3edKF9gLCIiuWA8IiI5YCwiypssLS3VLuNp\nYWGB+Ph4I/Qoe3IrFhlrPNQsR2snIiIyAIVCAVNTU5iamsLc3NzY3aE8ysnJSetxMzMzJhDIxOvX\nr2FjY2PsbhCRDroSBBhXiYiIiIiIiIjyDxNjd4CIiIiIKNXbt2+RkJCAcuXKGbsrRERERERERERE\nRPT/MbGAiIiIiGTj8OHDaNKkCUxM+DWViIiIiIiIiIiISC74H1si0sna2hr16tWDtbW1sbtCRJ84\nxqP8TQiB7du3Y8SIEcbuCpFWjEVEJAeMRUQkF4xHRCQHjEVEJAf5PRaZGbsDRCR/5ubmOtfQJSLK\nDYxH+duZM2cQHBwMT09PY3eFSCvGIiKSA8YiIpILxiMikgPGIiKSg/weizhjARHpFB8fj8DAQMTH\nxxu7K0T0iWM8yr9iY2Mxbtw4TJ06lcsgkOwxFhGRHDAWEZFcMB4RkRwwFhGRHOT3WMT/2hKRTnFx\ncbh37x7i4uKM3RUi+sQxHuVfY8eORZUqVdC/f39jd4VIJ8YiIpIDxiIikgvGIyKSA8YiIpKD/B6L\nuBQCERERERnVf//9h8ePH2P//v1QKBTG7g4RERERERERERERpcPEAiIiIiIyKmdnZ/j6+hq7G0RE\nRERERERERESkAZdCICIiIiIiIiIiIiIiIiIiIo2YWEBEOpmZmaFMmTIwM+MkJ0RkXIxHRCQHjEVE\nJAeMRUQkF4xHRCQHjEVEJAf5PRblz2dFRAZVsGBBfP7558buBhER4xERyQJjERHJAWMREckF4xER\nyQFjERHJQX6PRZyxgIh0UiqVSEhIgFKpNHZXiOgTx3hERHLAWEREcsBYRERywXhERHLAWEREcpDf\nYxETC4hIp6ioKJw4cQJRUVHG7goRfeIYj4hIDhiLiEgOGIuISC4Yj4hIDhiLiEgO8nssYmIBERER\nERERERERERERERERacTEAiIiIiIiIiIiIiIiIiIiItKIiQVERERERERERERERERERESkERMLiIiI\niIiIiIiIiIiIiIiISCOFEEIYuxNEhtKwYUNcvXpV5TF3d3dcuXLFSD3KH4QQSE5OhqmpKRQKhbG7\nQ0SfMMYjIpIDxiIikgPGIiKSC8YjIpIDxiKivMnS0hIJCQkZHrewsEB8fLwRepQ9uRWLjDUeapaj\ntRNRvqBQKGBmxnBBRMbHeEREcsBYRERywFhERHLBeEREcsBYRERykN9jEZdCICKdYmJicPXqVcTE\nxBi7K0T0iWM8IiI5YCwiIjlgLCIiuWA8IiI5YCwiIjnI77GIiQVEpFNSUhJCQ0ORlJRk7K4Q0SeO\n8YiI5ICxiIjkgLGIiOSC8YiI5ICxiIjkIL/HIiYWEBERERERERERERERERERkUZMLCAiIiIiIiIi\nIiIiIiIiIiKNmFhAREREREREREREREREREREGjGxgIh0srKyQq1atWBlZWXsrhDRJ47xiIjkgLGI\niOSAsYiI5ILxiIjkgLGIiOQgv8ciM2N3gIjkz8LCAo6OjsbuBhER4xERyQJjERHJAWMREckF4xER\nyQFjERHJQX6PRZyxgIh0SkxMxKtXr5CYmGjsrhDRJ47xiIjkgLGIiOSAsYiI5ILxiIjkgLGIiOQg\nv8ciJhYQkU4fP37EzZs38fHjR2N3hYg+cYxHRCQHjEVEJAeMRUQkF4xHRCQHjEVEJAf5PRYxsYCI\niIiIiIiIiIiIiIiIiIg0YmIBERERERERERERERERERERacTEAiIiIiIiIiIiIiIiIiIiItKIiQVE\npJOpqSmKFy8OU1NTY3eFiD5xjEdEJAeMRUQkB4xFRCQXjEdEJAeMRUQkB/k9FimEEMLYnSAylIYN\nG+Lq1asqj7m7u+PKlStG6hERERERERERERERERERpWdpaYmEhIQMj1tYWCA+Pt4IPcobjDUeyhkL\nctjDhw8xZswY1K1bF2XLloWzszO6du2K/fv3Izk5OUfafP36Nby9veHu7g57e3vY2dmhadOmWLFi\nBeLi4jJVlxACZ86cQc+ePVGjRg2UKVMGLi4u+PbbbzNcsERERERERERERERERERElP8wsSCHCCHg\n5eUFFxcXhIaGYuvWrQgKCsLly5fh6uqK/v37o23btnj79q1B2125ciUqV66MPXv2wMvLC//99x8e\nP36McePGYcmSJahTpw4CAgL0qisqKgrt27eHh4cHKlWqhFOnTuHNmzf466+/EB8fj4YNG2Ls2LFq\nM4kof4mIiMDhw4cRERFh7K4Q0SeO8YiI5ICxiIjkgLGIiOSC8YiI5ICxiIjkIL/HIjNjdyC/Gjp0\nKDZv3oxJkyZh/vz50uO2traYNm0a3Nzc0KFDB9SrVw+3b99GyZIls93mxIkTsWjRIlSpUgV+fn4o\nUqSIdKxz586oXbs26tevj9atW+Py5ctwdnbWWFdUVBSaNGmCO3fu4OjRo/D09JSOVatWDZs2bYKd\nnR3mzJmDR48e4ejRo1AoFNl+DkREREREREREREREREREJC+csSAHHDlyBJs3b4aTkxNmz56ttsyX\nX36JH374AUFBQRgzZky229y6dSsWLVoEANi8ebNKUkEqJycnTJ8+HW/fvsWwYcMghNBY38yZM3Hn\nzh30799fJakgfRk3Nzf4+Phg48aN2X4OREREREREREREREREREQkP0wsMLC4uDgpUWD48OEwNzfX\nWLZfv34AgB07dsDHxyfLbb579w7ff/89AMDV1RWNGzfW2ebZs2dx4MABtWXu3buHZcuWAQC+/fZb\njXWZmJigb9++AIDx48cjODg4S/0nIiIiIiIiIiIiIiIiIiL5YmKBgR06dAhPnz4FALRs2VJr2dq1\na6Ny5coAgHXr1mW5zRUrViAyMhIA0KRJE61lS5YsCRsbGwDA+vXr1ZZZvXo1kpOTUahQIbi5uWmt\nr3v37gBSlk7YtWtXZrtOREREREREREREREREREQyx8QCA/vzzz+l7Ro1amgtq1AoULVqVQCAj48P\nPnz4kKU2Dx06JG07ODjoLJ/a5qlTp/D27VuVY8nJydi3bx8AwMXFBaamplrrsrOzQ6FChQCAiQX5\nWOHChdGyZUsULlzY2F0hok8c4xERyQFjERHJAWMREckF4xERyQFjERHJQX6PRUwsMCAhBM6ePQsA\nsLa2hrW1tc5zypQpAwBISEiAv79/pttMTk7GnTt3pH0rKyud5xQtWlQ699y5cyrHHjx4gJCQEACQ\nZjbQJfU5XLt2DbGxsXqdQ3mLiYkJChYsCBMThgwiMi7GIyKSA8YiIpIDxiIikgvGIyKSA8YiIpKD\n/B6L8uezMpLQ0FCEhYUBSFlyQB+lS5eWtgMCAjLdZlhYGIQQ0r4+iQXm5ubSdtqkBAC4f/++tJ3Z\n56BUKvHgwQO9zqG85ePHj7hx4wY+fvxo7K4Q0SeO8YiI5ICxiIjkgLGIiOSC8YiI5ICxiIjkIL/H\nIiYWGFBgYKC0re+gfNpZAf77779Mt5k2qUBfZmZm0vbt27dVjhnjOZD8JSYmIigoCImJicbuChF9\n4hiPiEgOGIuISA4Yi4hILhiPiEgOGIuISA7yeywy012E9BUTEyNtW1pa6nWOhYWFtJ2V7JWSJUtC\noVBICQbx8fE6z/nw4YO0/fz5c5VjxngODRs2zPQ5mly/fj3DYwEBAQZt41OUnJyMyMhIFClSBKam\npsbuDhF9whiPiEgOGIuISA4Yi4hILhiPiEgOGIuI8iZNA/CJiYl5cmwvt2KRulnw0948nlOYWGBA\ncXFx0ra+F0vacrGxsZlu08zMDJ999hlu3ryZoQ+avH79WtqOiopSOWaM53D16tVMn5MZ0dHROd4G\nEREREREREREREREREWWfEIJje5mUG8svcCkEA0o7KG9iot9Lm3ZZgqwMygOAh4eHtK1rKYK4uDg8\ne/ZM2o+MjMxwPFVuPgciIiIiIiIiIiIiIiIiIpInJhYYUNpBdX0H5bN7tz8AjBo1Cubm5gCAS5cu\naS177NgxlYyV9IkFxnoOREREREREREREREREREQkT0wsyCFKpVKvcsnJyWq3M8PBwQFTpkwBkLKm\nxosXLzSW3bZtG9q0aSPtW1tbayybm8+BiIiIiIiIiIiIiIiIiIjkyUx3EdJX2kF6fQfY05azsrLK\nctvTp0/HP//8g6NHj2L48OHw8fGBQqFQKXPgwAEAwOeff45Tp04BAIoXL65SxhjPwd3dPdPnaHLr\n1i0kJCQA+L/nYm1tDScnJ4O18SkJCAhAdHS0ymOFChVCzZo1jdQjIvpUMR4RkRwwFhGRHDAWEZFc\nMB4RkRwwFhGRHOR2LAoMDFSZoR4A7O3tc6SttJhYYEDZHZQvUKBAlts2MzPD/v378cMPP2DNmjX4\n+uuvsXDhQlSqVAmhoaHYsmUL9uzZA19fX3h7e0vnlShRwujP4cqVK5k+h3JHw4YNcfXqVZXHatas\nyfeMiHId4xERyQFjERHJAWMREckF4xERyQFjERHJwacSi7gUggEVKEIpmgAAIABJREFULFhQ2s7t\nGQsAwMLCAr/++iuuX7+OsmXLokuXLnBwcICHhwdiY2Nx6dIlFCtWDJGRkdI51atXl9VzICIiIiIi\nIiIiIiIiIiIieeGMBQaU9m7/tIP32qQtl50ZC9KqV68e6tWrp/F4eHi4tN2gQQOVY3J5DkRERERE\nREREREREREREJA+cscCAypcvL22HhITodc7bt2+l7QoVKhi8T+o8fPhQ2m7UqJHKsbzyHIiIiIiI\niIiIiIiIiIiIKHcwscCAbGxsYG9vDwCIiIhAXFycznOCg4OlbRcXlxzrW6qPHz/i8ePHAIAqVapk\nmNnA1dVV2k6bMKBNbj8HIiIiIiIiIiIiIiIiIiLKPUwsMLC0SwuEhobqLJ86eK9QKODu7p5j/Url\n7+8PpVIJABg6dCgUCoXKcScnJ5QqVQqAfjMWJCUl4d27dwCAqlWromTJkgbuMRERERERERERERER\nERERGRMTCwysf//+0nZAQIDWsklJSbh79y4AoHHjxtJsB1kxe/ZslC5dGi1atEBUVJTGcjt37gQA\nlCxZEkOGDMlw3MTEBH379gUAvHz5EhEREVrbvXv3LoQQAIDu3btntftERERERERERERERERERCRT\nTCwwME9PT9ja2gIA9u/fr7XslStXEB4eDgAYNWpUltuMjIyEl5cXQkNDce7cOezYsUNtufDwcOzZ\nswcAMH/+fJQoUUJtudSEg8TERBw5ckRr26nHLS0tMWjQoKw+BSIiIiIiIiIiIiIiIiIikikmFhiY\nubk5li9fDgD466+/tM4esH37dgBAmzZt0KtXL7VlUhMAqlWrBj8/P7VlChQoAEtLS2m/UKFCast5\neXnhw4cP6Ny5MwYPHqyxXzVr1pQSHbZv3y7NSJBeQkICdu3aJdXt5OSksU4iIiIiIiIiIiIiIiIi\nIsqbmFiQA7755hsMGjQIYWFhGDJkiNqBeR8fH2zYsAElSpTAmjVroFAoMpR5/PgxpkyZgvDwcDx6\n9Ajjxo1T256FhQWaN28OS0tLeHh4oGPHjhnKbNq0CatWrUKTJk2wY8cOmJhof+sXL16M6tWr48SJ\nE1izZo3aMl5eXrh//z7c3NwwYcIErfUREREREREREREREREREVHexMSCHLJu3TpMmjQJf/75Jzp3\n7oz79+9DCIGwsDAsWLAAXbt2RY0aNeDv7w9nZ2e1daQf/DczM9PY3ubNm+Hq6orevXsjMTERQggk\nJCTgypUrGDZsGIYNG4YffvgBp0+fhpWVlc7+W1tb49y5c/Dw8MD333+PSZMm4e3btxBC4OnTpxg0\naJD0PM6dOwcLC4vMvUBERERERERERERERERERJQnMLEgh5ibm2P+/Pnw9/eHra0tOnTogOLFi8PF\nxQU+Pj5YvXq11qQCAHB2dsaiRYtQvHhxVK9eHcuWLdNY1s7ODidPnsTr16/RoUMHODo6okyZMhgy\nZAjMzMxw584d/PLLLypLJuhiY2ODI0eOYM+ePXj06BFcXV1RvHhxNGvWDFFRUfDx8cGePXtQsGDB\nTL02RERERERERERERERERESUd2i+BZ4Mon79+qhfv36Wz58wYYLeywwULlwYEydOxMSJE7PcXnom\nJibo0qULunTpYrA6iYiIiIiIiIiIiIiIiIgo7+CMBURERERERERERERERERERKQREwuIiIiIiIiI\niIiIiIiIiIhIIyYWEBERERERERERERERERERkUZMLCAiIiIiIiIiIiIiIiIiIiKNmFhARERERERE\nREREREREREREGjGxgIiIiIiIiIiIiIiIiIiIiDRSCCGEsTtBRERERERERERERERERERE8sQZC4iI\niIiIiIiIiIiIiIiIiEgjJhYQERERERERERERERERERGRRkwsICIiIiIiIiIiIiIiIiIiIo2YWEBE\nREREREREREREREREREQaMbGAiIiIiIiIiIiIiIiIiIiINGJiAREREREREREREREREREREWnExAIi\nIiIiIiIiIiIiIiIiIiLSiIkFREREREREREREREREREREpBETC4iIiIiIiIiIiIiIiIiIiEgjJhYQ\n5XMPHz7EmDFjULduXZQtWxbOzs7o2rUr9u/fj+Tk5BxpMzQ0FPPnz0ejRo1Qrlw5ODg4oEWLFli7\ndi0iIiJypE0ikjdjxCIiInUYj4hIDowRi65du4bvvvsOrVq1Qvny5eHi4oKvv/4a8+bNQ3h4eI60\nSUTyxu9FRCQXuRmPjh49ips3b+osl5CQgD179uD9+/cGbZ+I5MuY340iIiKwdu1atG3bFk5OTqhQ\noQI8PT2xevVqWX0vY2IBUT4lhICXlxdcXFwQGhqKrVu3IigoCJcvX4arqyv69++Ptm3b4u3btwZt\n9+DBg3B0dMT+/fvh5eWF//77Dw8ePMDQoUOxYMEC1KlTB9euXTNom0QkX8aKRer4+vri2LFjOd4O\nEcmTMePR+fPnMWDAAFSvXh02NjZwdnZGu3btsGTJEoSFhRm8PSKSL2PEotDQUPTt2xd9+/ZFnTp1\nsH37djx//hynT5+Gk5MTpk+fjooVK+Lnn3+W1T+siCjnyOnvtLQGDx6Mvn375mqbRGRcxohHixcv\nRt26deHm5oZff/0V/v7+ePv2LeLj4/H69WucOXMG06ZNg6OjI8aNGwdzc3ODtU1E8mTM70ZCCPzx\nxx9wdHTEypUrMXDgQJw/fx4PHz7ETz/9hOPHj6NFixaIi4szeNtZIogoXxo8eLAAICZNmqT2uI+P\njzA1NRX29vbi3bt3Bmlzy5YtQqFQiKZNm4rY2NgMx1+8eCFsbW2Fubm5uHDhgkHaJCJ5M0YsSi8p\nKUnMmDFDKBQK0apVqxxpg4jkzxjxKCYmRvTs2VNUqlRJ/PXXXyIsLEzEx8cLf39/8c033wgAolCh\nQmLZsmVCqVQapE0ikrfcjkUJCQmiWbNmonfv3iImJkZtmfHjxwsAAoAYMGAA4xHRJ0AOf6eld+jQ\nIQFANGvWLFfaIyJ5MEY8atasmfTdR9uPg4ODePDggUHaJCJ5M9Z3o+TkZDFixAgBQHTp0kXEx8er\nLdO6dWvh7e1tsHazg4kFRPnQ4cOHBQDh5OQkEhISNJZL/QdS7969s91mUFCQKFy4sFAoFOLx48c6\n++bs7KzxH1tElD8YIxalCg8PF1euXBHTpk0T5cqVk/4o5D+piD5NxohH8fHxomnTpqJFixZqv/Mo\nlUrh7e0txadhw4ZxMI8onzNGLJo6daqoU6eO2sTvVJGRkcLS0lKKR7t27cp2u0QkX8b8O02TiIgI\nYW9vz7/ZiD4xxopHuhILFAqFGDhwoAgKCjJIe0Qkb8b8bvS///1PABCurq5q2w4NDRWtWrUSVlZW\nwt7e3mDtZgeXQiDKZ+Li4jBmzBgAwPDhw7VO1dSvXz8AwI4dO+Dj45OtdidMmICoqCi0a9cOlSpV\n0liuXbt2KFWqFP777z/MnDkzW20SkXwZKxb5+fnB3t4en332GWbMmAEzMzPMmjUrW3USUd5mrHg0\nc+ZMPH78GLt27YK1tXWG4wqFAt7e3qhVqxYAYMOGDfj111+z1SYRyZcxYpFSqcTatWtx//59NGjQ\nABcvXlRbrnDhwip/w61atSrLbRKRvBnre5EukyZNQlBQUI62QUTyYux45ObmhmbNmsHOzg7m5uYo\nUqQIatSogdGjR+POnTvYsmUL7OzsDNIWEcmXMWPRvn37sHLlSigUCmzcuFFt2/v374evry9iY2MR\nFBSEDx8+ZLvd7GJiAVE+c+jQITx9+hQA0LJlS61la9eujcqVKwMA1q1bl+U2g4ODsWvXLr3aNDc3\nR5cuXQAAmzZtQmJiYpbbJSL5MkYsAoAGDRogKCgIz549w/Hjx+Ht7Y3mzZtnq04iytuMEY9CQkLw\nyy+/YNKkSShdurTGcgqFAuPGjZP2p0+fjoiIiCy3S0TyZYxYFBoaivfv3yMxMRF37tzB9OnTNZZN\nbQ8Abt++neU2iUjejPV3mjYXLlzQmPhERPmXseNR+/btce7cOQQFBSEhIQEREREICAjAqlW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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 632, "width": 1035 } }, "output_type": "display_data" } ], "source": [ "for interlaced in [True, False]:\n", " for window in ['CIC', 'TSC']:\n", " \n", " # convert catalog to a mesh with desired window and interlacing\n", " mesh = cat.to_mesh(Nmesh=256, window=window, compensated=False, interlaced=interlaced)\n", "\n", " # apply correction for the window to the mesh\n", " compensation = mesh.CompensateCIC if window == 'CIC' else mesh.CompensateTSC\n", " mesh = mesh.apply(compensation, kind='circular', mode='complex')\n", "\n", " # compute the 1D power P(k)\n", " r = FFTPower(mesh, mode='1d')\n", " Pk = r.power\n", "\n", " # compare P(k) to the hi-resolution mesh P(k)\n", " label = 'interlaced=%s, window=%s' %(interlaced, window)\n", " plt.plot(Pk['k'], (Pk['power'].real - Pk.attrs['shotnoise']) / truth(Pk['k']), label=label)\n", " \n", "\n", "# plot Nyquist frequency\n", "k_ny = numpy.pi * Nmesh / BoxSize\n", "plt.axvline(x=k_ny, c='k', label=\"Nyquist frequency for Nmesh=256\")\n", "\n", "# format the axes\n", "plt.legend(loc=0, ncol=2)\n", "plt.xlabel(r\"$k$ [$h \\ \\mathrm{Mpc}^{-1}$]\")\n", "plt.ylabel(r\"$P(k) / P(k)^\\mathrm{truth}$\")\n", "plt.ylim(0.9, 1.2)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "In this figure, we see clearly see the effects of aliasing on the lower-resolution mesh results, causing the results to deviate from unity. There are two trends to note in this figure. First, TSC interpolation performs better than the CIC window, since it is a higher-order interpolation scheme. Second, for a fixed window, turning interlacing drastically reduces the contributions from aliasing. When using TSC and interlacing, $P(k)$ is recovered almost perfectly up to the Nyquist frequency." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 2 }