{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# ePSproc function defn tests\n", "13/08/19" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wigner D\n", "\n", "Compare existing ePSproc_wignerD.m (Matlab, matches Zare defn.) to Moble's quaternion-based version (matches Wikipedia defn.).\n", "\n", "Defns....\n", "\n", "See:\n", "\n", "- [Wikipedia defn.](https://en.wikipedia.org/wiki/Wigner_D-matrix#Definition_of_the_Wigner_D-matrix)\n", "- Moble's notes:\n", " - [WignerD defn.](https://moble.github.io/spherical_functions/WignerDMatrices.html)\n", " - [Note on Euler angles](https://moble.github.io/spherical_functions/#euler-angles)\n", " - [Comparison with Mathematica and Sympy definitions](https://github.com/moble/spherical_functions/blob/master/Notes/conventions.ipynb)\n", " \n", " \n", "Summary:\n", "- Moble's WignerD defn. matches wikipedia.\n", "- Euler angle defns. also consistent, $(\\alpha, \\beta, \\gamma) \\equiv (\\phi, \\theta, \\chi)$.\n", "- Zare defns, eqns. 3.54-3.55, as used in ePSproc, is *conjugate* form (as compared to wiki defn.).\n", "- Python calcs should match Matlab conj(ePSproc_wignerD.m), either defined numreically or via algebraic defn.\n", "- Python calcs ~2 orders of magnitude faster than (admittedly unoptimized) Matlab ePSproc codes.^\n", "\n", "^ Benchmarks run on a [Threadripper 1950X](https://www.amd.com/en/products/cpu/amd-ryzen-threadripper-1950x) machine. The python calcs. barely troubled one core; the Matlab calcs were highly inefficient (lots of loops) and used ~30 - 50% of a single core... for much longer. On an [Atom-based cheap laptop](https://www.asus.com/us/2-in-1-PCs/ASUS-Transformer-Mini-T102HA/specifications/) the python numbers were still ~1 order of magnitude faster. See below for details.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Basic test" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Imports\n", "import numpy as np\n", "import spherical_functions as sf\n", "import quaternion\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(-0.2647616388657892-0.14463994252750317j)\n" ] } ], "source": [ "#%% Basic test with Euler angles\n", "\n", "alpha, beta, gamma = 0.1, 0.2, 0.3\n", "ell,mp,m = 3,2,1\n", "wD_euler = sf.Wigner_D_element(alpha, beta, gamma, ell, mp, m)\n", "print(wD_euler)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(-0.25825267558041726-0.0653537383101466j)\n" ] } ], "source": [ "#%% With quaternion\n", "R = np.quaternion(1,2,3,4).normalized()\n", "wD_quat = sf.Wigner_D_element(R, ell, mp, m)\n", "print(wD_quat)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(-0.2647616388657892-0.14463994252750317j)\n", "0j\n" ] } ], "source": [ "#%% With quaternion defined by Euler angles\n", "R_euler = quaternion.from_euler_angles(alpha, beta, gamma)\n", "wD_eQuat = sf.Wigner_D_element(R_euler, ell, mp, m)\n", "print(wD_eQuat)\n", "\n", "# Check\n", "print(wD_eQuat - wD_euler)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Benchmark vs ePSproc_wignerD.m (Matlab)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "lines_to_next_cell": 2 }, "outputs": [], "source": [ "#%% WignerD bench\n", "# Adapted directly from Matlab code\n", "\n", "# Set QNs for calculation, (l,m,mp)\n", "Lmax = 6\n", "QNs = []\n", "\n", "for l in np.arange(0, Lmax+1):\n", " for m in np.arange(-l, l+1):\n", " for mp in np.arange(-l, l+1):\n", " QNs.append([l, m, mp])\n", " \n", "QNs = np.array(QNs)\n", " \n", "# Set a range of Eugler angles for testing\n", "Nangs = 1000\n", "pRot = np.linspace(0,180,Nangs)\n", "tRot = np.linspace(0,90,Nangs)\n", "cRot = np.linspace(0,180,Nangs)\n", "eAngs = np.array([pRot, tRot, cRot,])*np.pi/180\n", "\n", "# Convert to quaternions \n", "R = quaternion.from_euler_angles(pRot*np.pi/180, tRot*np.pi/180, cRot*np.pi/180)\n", "\n", "#****** wignerD vectorised for QN OR angles\n", "wD_QNs = []\n", "for n in np.arange(0, QNs.shape[0]): \n", " wD_QNs.append([QNs[n,:], R, sf.Wigner_D_element(R, QNs[n,0], QNs[n,1], QNs[n,2])])\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "#%% Compare with Matlab results\n", "from scipy.io import loadmat\n", "x = loadmat(r'wignerD_bench_090819.mat')\n", "wD_QNsMatlab = x['wD_QNs']\n", "\n", "def wD_sortf(wD_QNs, conjPy = True):\n", " # Sort to array for comparison\n", " wD_sort=[]\n", " if conjPy:\n", " # With conjugate on Python results\n", " [wD_sort.extend(np.c_[np.tile(wD[0],(wD[2].shape[0],1)), wD[2].conj()]) for wD in wD_QNs]\n", "\n", " else:\n", " # For QN looped case\n", " [wD_sort.extend(np.c_[np.tile(wD[0],(wD[2].shape[0],1)), wD[2]]) for wD in wD_QNs]\n", "\n", " # For angle looped case\n", " # [wD_sort.extend(np.c_[wD[0], wD[2]]) for wD in wD_QNs] \n", "\n", " return np.asarray(wD_sort)\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/plain": [ "(4.773959005888173e-15+8.326672684688674e-16j)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "conjFlag = True\n", "wD_sort = wD_sortf(wD_QNs, conjPy = conjFlag)\n", "\n", "# Subtract and plot\n", "wD_test = wD_sort - wD_QNsMatlab[:,0:4]\n", "\n", "# Set plot params\n", "pRange = np.arange(1,10000)\n", "sPlots = 4\n", "colPlot = 3 # Set as index into python results\n", "\n", "fig, ax = plt.subplots(2, 1, sharex='col', dpi=180)\n", "ax[0].plot(np.c_[np.real(wD_sort[pRange,colPlot]), np.imag(wD_sort[pRange,colPlot])])\n", "ax[0].set_title('Moble (Wikipedia) Wigner D, conjFlag = ' + str(conjFlag))\n", "\n", "ax[1].plot(np.c_[np.real(wD_QNsMatlab[pRange,colPlot]), np.imag(wD_QNsMatlab[pRange,colPlot])])\n", "ax[1].set_title('ePSproc (Zare) Wigner D')\n", "\n", "fig, ax = plt.subplots(2, 1, sharex='col', dpi=180)\n", "ax[0].plot(np.c_[np.real(wD_test[pRange,colPlot]), np.imag(wD_test[pRange,colPlot])])\n", "ax[0].set_title('Difference')\n", "\n", "#plt.subplot(sPlots,1,4)\n", "ax[1].plot(np.abs(wD_test[pRange,:]))\n", "ax[1].set_title('Abs Difference')\n", "plt.show()\n", "\n", "# Check values\n", "wD_test.max()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**> For conjugate version, differences on order of 1e-15. OK.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Timings" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Timings pretty consistent for list comp vs. loop." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Try timing as wall clock for more flexibility...\n", "# https://www.techbeamers.com/python-time-functions-usage-examples/\n", "# Get similar results for time.time(), time.clock() and time.perf_counter()\n", "import time\n", "\n", "tS = time.perf_counter()\n", "tBench = []\n", "fEvals = []\n", "\n", "# Set QNs for calculation, (l,m,mp)\n", "for Lmax in np.arange(0,11):\n", " QNs = []\n", "\n", " for l in np.arange(0, Lmax+1):\n", " for m in np.arange(-l, l+1):\n", " for mp in np.arange(-l, l+1):\n", " QNs.append([l, m, mp])\n", "\n", " QNs = np.array(QNs)\n", " \n", " tQN = time.perf_counter()\n", " \n", " #****** wignerD vectorised for QN OR angles\n", " wD_QNs = []\n", " for n in np.arange(0, QNs.shape[0]): \n", " wD_QNs.append([QNs[n,:], R, sf.Wigner_D_element(R, QNs[n,0], QNs[n,1], QNs[n,2])])\n", " \n", " tLoop = time.perf_counter()\n", " \n", " wD_QNs = []\n", " [wD_QNs.append([QN, R, sf.Wigner_D_element(R, QN[0], QN[1], QN[2])]) for QN in QNs]\n", " \n", " tBench.append([tQN, tLoop, time.perf_counter()])\n", " fEvals.append([Lmax, len(wD_QNs)*len(R)])\n", " \n", "tBench = np.asarray(tBench)\n", "tDeltas = np.c_[tBench[:,1]-tBench[:,0], tBench[:,2]-tBench[:,1]]\n", "# print(tDeltas)\n", "\n", "# Plot\n", "fEvals = np.asarray(fEvals)\n", "plt.figure(dpi = 180)\n", "plt.plot(fEvals[:,1], tDeltas)\n", "plt.xlabel('Array size (func evals)')\n", "plt.ylabel('t/s')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**> Compare with Matlab code - massively faster...**\n", "\n", "(Benchmarks on a [Threadripper 1950X](https://www.amd.com/en/products/cpu/amd-ryzen-threadripper-1950x) machine. On an [Atom-based cheap laptop](https://www.asus.com/us/2-in-1-PCs/ASUS-Transformer-Mini-T102HA/specifications/) the python numbers here topped out at 1.4s, so were still massively faster (Matlab benchmarks were not tested on that machine).)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Check fEvals for consistency:\n", "[ 0. 9. 34. 83. 164. 285. 454. 679. 968. 1329. 1770.]\n" ] } ], "source": [ "# Compare with Matlab benchmarks (not even funny...!)\n", "x = loadmat(r'wignerD_bench_t_090819.mat') \n", "wDBenchMatlab = x['wDbench']\n", "\n", "plt.figure(dpi = 180)\n", "# plt.plot(fEvals[:,1],np.c_[tDeltas[:,0], wDBenchMatlab[1:,3]])\n", "plt.plot(fEvals[:,1], tDeltas[:,0])\n", "plt.plot(wDBenchMatlab[1:,2], wDBenchMatlab[1:,3])\n", "plt.xlabel('Array size (func evals)')\n", "plt.ylabel('t/s')\n", "plt.show()\n", "\n", "print('Check fEvals for consistency:')\n", "print(wDBenchMatlab[1:,2] - fEvals[:,1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note slight difference in overall fn. evals (probably an extraneous extra loop in Matlab code), but won't make a significant difference here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wigner 3j" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Should be consistent...\n", "- [Moble's functions](https://github.com/moble/spherical_functions/blob/master/Wigner3j.py) based on Sympy.\n", "- Sympy matches Zare defn.\n", "- ePSproc matches Zare defn." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic test" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.18698939800169143\n", "0.0\n" ] } ], "source": [ "#%% Basic tests\n", "# See https://github.com/moble/spherical_functions/blob/master/Wigner3j.py\n", "# Syntax Wigner3j(j_1, j_2, j_3, m_1, m_2, m_3)\n", "# Integer values only, and single values only?\n", "\n", "print(sf.Wigner3j(2, 6, 4, 0, 0, 0))\n", "\n", "print(sf.Wigner3j(2, 6, 4, 0, 0, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Benchmark vs. ePSproc_3j.m (Matlab, Zare defns.)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "lines_to_next_cell": 2 }, "outputs": [], "source": [ "#%% Test set of values\n", "\n", "Lmax = 6\n", "QNs = []\n", "\n", "for l in np.arange(0, Lmax+1):\n", " for lp in np.arange(0, Lmax+1):\n", " for m in np.arange(-l, l+1):\n", " for mp in np.arange(-lp, lp+1):\n", " for L in np.arange(0, l+lp+1):\n", " M = -(m+mp)\n", " QNs.append([l, lp, L, m, mp, M])\n", " \n", "QNs = np.array(QNs)\n", "\n", "# Test vector compatibility - NOPE... but pretty fast anyway\n", "# test = sf.Wigner3j(QNs[:,0], QNs[:,1], QNs[:,2], QNs[:,3], QNs[:,4], QNs[:,5])\n", "\n", "# LOOP OVER QNs and calculate\n", "w3j_QNs = []\n", "for n in np.arange(0, QNs.shape[0]): \n", " w3j_QNs.append([QNs[n,:], sf.Wigner3j(QNs[n,0], QNs[n,1], QNs[n,2], QNs[n,3], QNs[n,4], QNs[n,5])])\n", " " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/plain": [ "(4.773959005888173e-15+8.326672684688674e-16j)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#%% Test vs. Matlab reference\n", "from scipy.io import loadmat\n", "x = loadmat(r'wigner3j_bench_L6_130819.mat') \n", "w3j_QNsMatlab = x['QNs_3j']\n", "\n", "# Sort to array for comparison - WORKS, but UGLY. Should be a better way?\n", "w3j_sort=[]\n", "[w3j_sort.append(np.r_[wD[0], wD[1]]) for wD in w3j_QNs]\n", "w3j_sort = np.array(w3j_sort)\n", "\n", "# Subtract and plot\n", "w3j_test = w3j_sort - w3j_QNsMatlab[:,0:7]\n", "\n", "# Set plot params\n", "pRange = np.arange(1,1000)\n", "sPlots = 3\n", "colPlot = 6 # Set as index into python results\n", "\n", "\n", "fig, ax = plt.subplots(sPlots, 1, sharex='col', dpi=180)\n", "ax[0].plot(w3j_sort[pRange,colPlot])\n", "ax[0].set_title('Moble (Wikipedia) Wigner 3j')\n", "\n", "ax[1].plot(w3j_QNsMatlab[pRange,colPlot])\n", "ax[1].set_title('ePSproc (Zare) Wigner 3j')\n", "\n", "ax[2].plot(w3j_test[pRange,colPlot])\n", "ax[2].set_title('Difference')\n", "\n", "# plt.subplot(sPlots,1,4)\n", "# plt.plot(np.abs(w3j_test))\n", "# plt.title('Abs Difference')\n", "plt.show()\n", "\n", "\n", "# Check values\n", "wD_test.max()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**> Differences on order 1e-16. OK.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Timings" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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bVcawpVK0IxADAAAAiCirdxVq0rxs7SgocdTbpSfq6RszNaxLM5cmQ6ghEAMAAACIGAu/2aH7F69RRZXPUb+gV0vNHJehFk0SXJoMoYhADAAAACDslVZ49cDi1Vq0PM9RN0a65ZJeumVEL8V4WCINJwIxAAAAgLC2Nf+IJs5drvV7ixz1ZslxmjEuQ8P7tHZpMoQ6AjEAAACAsPXu6j2atmilisqrHPWMTk01OytTHZomuTQZwgGBGAAAAEDYqfT69MS76/Xcp1uDej89p4vuHdVf8bEeFyZDOCEQAwAAAAgr+w6X6eb52fpm20FHPTk+Ro9dO1ijh7R3aTKEGwIxAAAAgLDxxeZ83fJijvKLKxz1nq2b6NkJmerZOtWlyRCOCMQAAAAAQp7PZzXn482a/t4G+ayzd1VGez1yzSClJBBvUDf8GwMAAAAgpB0qqdBtL63Qh+v3O+rxMR7d/+P+mnB2ZxnDlkqoOwIxAAAAgJC1Mu+QJs3LVt7BUke9Q9MkPZOVqSGdmro0GSIBgRgAAABAyLHWav7XO/TQG2tV4fU5esP7tNKM6zPULCXepekQKQjEAAAAAEJKSUWV7n1ttV7L2eWoGyPddmlvTb64pzwelkjj9BGIAQAAAISMzQeKNXHucm3cV+yot0iJ15/GD9X5vVq6NBkiEYEYAAAAQEh4a+Vu3fXySh2p8Drqw7o009M3DlW79CSXJkOkIhADAAAAcFVFlU+PvLNOf/tiW1DvF+d3090/6qu4GE/jD4aIRyAGAAAA4Jrdh0o1eX62cnYcctSbJMTqD9cN1o8GtXNpMkQDAjEAAAAAV3z67QFNWZCrgiMVjnrftql6JitT3Vs1cWkyRAsCMQAAAIBG5fNZzfpwk2Yu3Shrnb0xmR30+6sHKSk+xp3hEFUIxAAAAAAaTcGRCk1dmKtPNh5w1ONjPXpo9ACNP7OTjGFLJTQOAjEAAACARpGz46Amz8vW7sIyR71T8yTNyRqmgR3SXZoM0YpADAAAAKBBWWv1939t18Nvr1Wl17lG+tJ+rTV9bIbSk+Ncmg7RjEAMAAAAoMEcKa/S3a+u0psrdjvqHiNNG9lXv7ywuzwelkjDHQRiAAAAAA3i231Fumnucm0+cMRRb9kkQbNuGKpzerRwaTLAj0AMAAAAoN4tzt2lu19ZpdJKr6N+VrfmevqGoWqdlujSZMD3CMQAAAAA6k15lVcPv7VO//hye1Dvlxd217SRfRQb43FhMiAYgRgAAABAvcg7WKLJ87K1Iq/QUU9NjNWTY4do5IC2Lk0GHBuBGAAAAMBpW7Z+v6YuzFVhaaWj3r9dmuZMyFSXFikuTQYcH4EYAAAAwCnz+qxmfrBRsz7cFNQbd0YnPXTVACXGxbgwGXByBGIAAAAApyS/uFxTFuTo803fOeoJsR797uqBuv6MTi5NBtQOgRgAAABAnS3fXqDJ83K093CZo961RbKeyRqm/u3TXJoMqD0CMQAAAIBas9bqr59t1WNL1qvKZx29kQPa6A9jhygtMc6l6YC6IRADAAAAqJWiskrd+fJKLVm911GP8RjdfXlf/dcF3WSMcWk6oO4IxAAAAABOav3ew5o4N1tb84846q1TEzQ7K1Nndm3u0mTAqSMQAwAAADihV5bn6d7XV6ms0ueon9O9hZ66YahapSa4NBlwegjEAAAAAI6prNKrh95coxe/3hnUm3xxD916aW/FxnhcmAyoHwRiAAAAAEF2fFeiifOWa83uw456WmKsZozL0Ih+bVyaDKg/BGIAAAAADh+s3afbXsrV4bIqR31Qh3Q9k5WpTs2TXZoMqF8EYgAAAACSpCqvT9Pf36g5H20O6mWd3Vn3X9lfiXExLkwGNAwCMQAAAADtLyrTLS/m6MstBY56YpxHj1wzSGMyO7o0GdBwCMQAAABAlPtqy3e6+cUcHSgqd9S7t0zRnAnD1KdtqkuTAQ2LQAwAAABEKWut/vLJFj3xzw3y+qyjN2pQOz1+3WA1SSAyIHLxbzcAAAAQhQpLKzVt0Qq9t3afox7rMfr1Ff30s/O6yhjj0nRA4yAQAwAAAFFmze5CTZqXre3flTjq7dIT9fSNmRrWpZlLkwGNi0AMAAAARJGF3+zQ/YvXqKLK56hf0KulZo7LUIsmCS5NBjQ+AjEAAAAQBUorvHpg8WotWp7nqBsj3XJJL90yopdiPCyRRnQhEAMAAAARblv+Ed00d7nW7y1y1Jsmx2nmuAwN79PapckAdxGIAQAAgAj27uq9mrZohYrKqxz1IZ2a6pmsTHVomuTSZID7CMQAAABABKr0+vTEu+v13Kdbg3o/PaeLfj2qnxJiY1yYDAgdBGIAAAAgwuw7XKab52frm20HHfXk+Bg9du1gjR7S3qXJgNBCIAYAAAAiyBeb83XLiznKL65w1Hu2bqJnJ2SqZ+tUlyYDQg+BGAAAAIgAPp/VnI83a/p7G+Szzt5VGe31yDWDlJLAj/9AdfwXAQAAAIS5QyUVuu2lFfpw/X5HPS7G6IEr+2vCD7rIGLZUAmoiEAMAAABhbGXeIU2al628g6WOeoemSZqdlamMTk1dmgwIfQRiAAAAIAxZazX/6x166I21qvD6HL3hfVppxvUZapYS79J0QHggEAMAAABhpqSiSve9tlqv5uxy1I2Rbru0tyZf3FMeD0ukgZMhEAMAAABhZPOBYk2cu1wb9xU76s1T4vXU+KE6v1dLlyYDwg+BGAAAAAgTb63crbteXqkjFV5HfViXZnr6xqFql57k0mRAeCIQAwAAACGuosqnR95Zp799sS2o94vzu+nuH/VVXIyn8QcDwhyBGAAAAAhhewpLNXletrJ3HHLUmyTE6onrBuuKQe1cmgwIfwRiAAAAIER9+u0BTVmQq4IjFY56nzapmjMhU91bNXFpMiAyEIgBAACAEOPzWc36cJNmLt0oa529MZkd9PurBykpPsad4YAIQiAGAAAAQkjBkQpNXZirTzYecNTjYz16aPQAjT+zk4xhSyWgPhCIAQAAgBCRs+OgJs/L1u7CMke9U/MkPXPjMA3qmO7SZEBkIhADAAAALrPW6u//2q6H316rSq9zjfSl/Vpr+tgMpSfHuTQdELkIxAAAAICLjpRX6e5XV+nNFbsddY+R7hjZRzdd2EMeD0ukgYZAIAYAAABc8u2+It00d7k2HzjiqLdskqBZNwzVOT1auDQZEB0IxAAAAIALFufu0j2vrlJJhddRP6trcz1941C1Tkt0aTIgehCIAQAAgEZUXuXVw2+t0z++3B7U++WF3TVtZB/FxnhcmAyIPlERiI0xqZJul3StpG6SvJI2SlogaZa1tuIEX16b87eVNFnSFYHzJ0naL2mdpI8kTbfWVp7OewAAACD85R0s0eR52VqRV+iopybE6snrh2jkgLYuTQZEJ2Nr7vQdYYwxXeQPpV0DpRJJMZISAq9zJI2w1h48xfOPk/QXSWmBUoWkUknV74nfzFp76FTOf4z3s5L/ToQAAAAIH8s27NetC3N1qMR5naRfuzQ9OyFTXVqkuDQZEF6O7sNtrT3tu81F9FoMY0yMpDflD8N7JF1mrU2RlCxpvKQiSUMlzTvF84+VNF/+MLxQ0lBrbYK1tqmkVEkXSJohiavDAAAAUcrrs5r+3gb97H+/CQrD487opNcmnUsYBlwS0VeIjTG/kPR84OW51tp/1ejfIH+glaRLrbVL63DudpLWSGomaYa19rZ6GLk278sVYgAAgDDxXXG5pizI1Web8h31hFiPfnf1QF1/RieXJgPCV31eIY70QPyJ/Fdpl1lrLzlG30jaLP/nfv9urf1pHc79qKS7JeVJ6nG6n0Ouw/sSiAEAAMLA8u0FmjwvR3sPlznqXVok65msTA1on36crwRwIiyZrgVjTLKk8wIvlxzrGOtPle8GXv6wjm/xk8Dj3MYKwwAAAAh91lr99bOtGvfnL4PC8MgBbfTmr84nDAMhIpLvMt1P3wf+1Sc47mivrTGmubW24GQnNsZ0k9Q+8PJjY8xQ+a8WXyT/Eur9kj6X9Keay7QBAAAQuYrKKnXXKyv1zqq9jnqMx+juy/vqvy7o9p+rWwDcF8mBuH2157tOcFz1XntJJw3EknpXe36WpPskxUkqk/8O0x0ljZN0vTHmXmvto7WaWN8viQYAAEB4Wb/3sCbOzdbW/COOeuvUBD19Y6bO6tbcpckAHE/ELpmW/y7PR5Wc4LjqvdTjHuXUrNrz30jaJ+lySSmBO0z3k7RUkpH0iDHm6lqeFwAAAGHoleV5unr250Fh+JzuLfTWLecThoEQFclXiBuSp8bzsdbaL48WrLXrjTFXSdoo/1XnByW9XpsTn+yD4VxBBgAACB1llV499OZavfj1jqDepOE9dNtlvRUbE8nXoIDwFsmBuKja8+QTHFe9V3Tco45/7s+qh+GjrLVHjDHPSHpY0hBjTBtr7b5anh8AAAAhbmdBiSbOW67Vuw476mmJsZoxLkMj+rVxaTIAtRXJgXh3tecdJK08znEdjvM1J1L9c8frTnBc9V4X+ZdWAwAAIMx9sHafbnspV4fLqhz1gR3SNCdrmDo1P9H1GAChIpID8TpJPvmXNA/UcbZeCvQkaW9t7jAdsFaSV1KMpBMtYa6+/JmlzgAAAGGuyuvT9Pc3as5Hm4N6N57dWQ9c2V+JcTEuTAbgVETsBxqstSXyb30k+W94FcT473k/MvDyvTqcu0zSJ4GX/U9waL+jXyJpW23PDwAAgNCzv6hME/76VVAYTozz6I/XD9Ej1wwiDANhJmIDccALgceLjTFnH6M/VlL3wPO/1/Hc/xt4PN8Yc07NpjEmWdLEwMuvrLUH6nh+AAAAhIivtnynK5/6TF9ucS4o7N4yRYsnn68xmR1dmgzA6YiGQLxK/qXLrxhjRkiSMcZjjBkr6bnAcUustUurf6Ex5kFjjA386nqMc8+T9HXg+UJjzEhjjCfwtX0lvSH/HaZ9ku6t328LAAAAjcFaqz9/vFk3Pv+V9heVO3qjBrXT4pvPU5+2td25E0CoieTPEMtaW2WMGS1pmaSukj4wxpTI/xcBiYHDciRlncK5fYGtlZbKv2z6XUmlxpgKSemBwyolTbbWfnha3wgAAAAaXWFppaYtWqH31jrvixrrMfr1Ff30s/O6yv8JPADhKqIDsSRZa7cZYwZLukPSGEnd5A+qayS9KGmWtbbiFM+91xiTKelmSeMk9ZaUJP/nhT+UNMNau/q0vwkAAAA0qjW7CzVpXra2f1fiqLdNS9TsrEwN69LMpckA1CdjLTc/DifGGCv5l+8AAACg/i38ZofuX7xGFVU+R/2CXi01c1yGWjRJcGkyAJL+szLDWnvaSzQi/goxAAAAUBulFV49sHi1Fi3Pc9SNkX51SS9NGdFLMR6WSAORhEAMAACAqLct/4humrtc6/cWOepNk+M0c1yGhvdp7dJkABoSgRgAAABR7d3VezVt0QoVlVc56kM6NdUzWZnq0DTJpckANDQCMQAAAKJSpdenP/xzg/7yyZag3k/O6aJ7R/VTQmyMC5MBaCwEYgAAAESdfYfLdPP8bH2z7aCjnhwfo0fHDNJVGR1cmgxAYyIQAwAAIKp8sTlft7yYo/xi586bPVs30bMTMtWzdapLkwFobARiAAAARAWfz2rOx5s1/b0N8tXYwXL0kPZ6dMwgpSTw4zEQTfgvHgAAABGvsKRSt72Uq6Xr9zvqcTFGD1zZXxN+0OU/e5sCiB4EYgAAAES0lXmHNGletvIOljrqHZomaXZWpjI6NXVpMgBuIxADAAAgIllrNf/rHXrojbWq8PocvYt6t9LMcRlqlhLv0nQAQgGBGAAAABGnpKJK9722Wq/m7HLUjZFuvbS3br64pzwelkgD0Y5ADAAAgIiy+UCxJs3N1oZ9RY5685R4PTV+qM7v1dKlyQCEGgIxAAAAIsbbK/fozpdX6EiF11HP7NxUs7My1S49yaXJAIQiAjEAAADCXkWVT48uWaf//XxbUO/n53XTPVf0VVyMp/EHAxDSCMQAAAAIa3sKSzV5Xraydxxy1FPiY/TEdUM0anA7lyYDEOoIxAAAAAhbn357QFMW5KrgSIWj3qdNqp6ZkKkerZq4NBmAcEAgBmgKmlMAACAASURBVAAAQNjx+axmfbhJM5dulLXO3pihHfTwNQOVHM+PugBOjP9LAAAAIKwUHKnQ1IW5+mTjAUc9PsajB0cP0A1ndZIxbKkE4OQIxAAAAAgbuTsPadLc5dpdWOaod2yWpDlZwzSoY7pLkwEIRwRiAAAAhDxrrf7x5Xb97q21qvQ610iP6Ntaf7w+Q+nJcS5NByBcEYgBAAAQ0o6UV+nuV1fpzRW7HXWPke4Y2Uc3XdhDHg9LpAHUHYEYAAAAIevbfUWaOC9bm/YXO+otm8TrqRuG6tweLV2aDEAkIBADAAAgJC3O3aV7Xl2lkgqvo35W1+aadeNQtUlLdGkyAJGCQAwAAICQUl7l1cNvrdM/vtwe1Pvlhd11x8g+iovxuDAZgEhDIAYAAEDIyDtYosnzc7Ri5yFHPTUhVk9eP0QjB7R1aTIAkYhADAAAgJCwbMN+3bowV4dKKh31fu3SNCcrU11bprg0GYBIRSAGAACAq7w+qz99sFGzlm2Sde6opOvP6KjfXjVQiXEx7gwHIKIRiAEAAOCa74rLNWVBrj7blO+oJ8R69LurBur6Mzu5NBmAaEAgBgAAgCuWby/Q5Hk52nu4zFHv0iJZz2RlakD7dJcmAxAtCMQAAABoVNZa/c/n2/ToO+tU5XOukf5h/zZ68vohSkuMc2k6ANGEQAwAAIBGU1RWqbteWal3Vu111GM8Rndf3lf/dUE3GWNcmg5AtCEQAwAAoFGs33tYk+Zma0v+EUe9dWqCnr4xU2d1a+7SZACiFYEYAAAADe7V7Dz9+rVVKqv0Oeo/6N5cT90wVK1TE12aDEA0IxADAACgwZRVevXQm2v14tc7gnqThvfQbZf1VmyMx4XJAIBADAAAgAays6BEE+ct1+pdhx31tMRYzRiXoRH92rg0GQD4EYgBAABQ7z5Yu0+3vZSrw2VVjvrADmmakzVMnZonuzQZAHyPQAwAAIB6U+X1afr7GzXno81BvRvP7qwHruyvxLgYFyYDgGAEYgAAANSL/UVluuXFHH25pcBRT4zz6JFrBmlMZkeXJgOAYyMQAwAA4LR9vbVAN8/P1v6icke9e8sUPTMhU33bprk0GQAcH4EYAAAAp8xaq+c+3aLH390gr886elcMaqvHrx2s1MQ4l6YDgBMjEAMAAOCUFJZWatqiFXpv7T5HPdZj9Osr+uln53WVMcal6QDg5AjEAAAAqLM1uws1aV62tn9X4qi3TUvU7KyhGtaluUuTAUDtEYgBAABQJy99s1P3L16t8iqfo35+z5b60/gMtWiS4NJkAFA3BGIAAADUSlmlV/e/vlqLlucF9W65pKemXNpbMR6WSAMIHwRiAAAAnNS2/COaOC9b6/YcdtSbJsdpxrgMXdyntUuTAcCpIxADAADghN5dvVfTFq1QUXmVoz6kY7pmZ2WqY7NklyYDgNNDIAYAAMAxVXp9+sM/N+gvn2wJ6v3knC66d1Q/JcTGuDAZANQPAjEAAACC7Dtcpl/Nz9HX2woc9eT4GD06ZpCuyujg0mQAUH8IxAAAAHD4YnO+bnkxR/nFFY56z9ZNNCcrU73apLo0GQDULwIxAAAAJEk+n9Wcjzdr+nsb5LPO3o+HtNdjYwYpJYEfHwFEDv6PBgAAABWWVOq2l3K1dP1+Rz0uxuj+K/vr//ygi4xhSyUAkYVADAAAEOVW5RVq4rzlyjtY6qh3aJqk2VmZyujU1KXJAKBhEYgBAACilLVW87/eoYfeWKsKr8/Ru6h3K80cl6FmKfEuTQcADY9ADAAAEIVKKqp032ur9WrOLkfdGOnWS3vr5ot7yuNhiTSAyEYgBgAAiDKbDxRr0txsbdhX5Kg3T4nXn8Zn6IJerVyaDAAaF4EYAAAgiry9co/uemWlisurHPXMzk01OytT7dKTXJoMABofgRgAACAKVFT59OiSdfrfz7cF9X52Xlfd86N+io/1NP5gAOAiAjEAAECE21NYqsnzspW945CjnhIfoyeuG6JRg9u5NBkAuItADAAAEME+/faApizIVcGRCke9d5smmjNhmHq0auLSZADgPgIxAABABPL5rJ5etkkzPtgoa529MUM76OFrBio5nh8FAUQ3/i8IAAAQYQ4eqdDUhbn6eOMBRz0+xqMHRw/QDWd1kjFsqQQABGIAAIAIkrvzkCbNXa7dhWWOesdmSZqTNUyDOqa7NBkAhB4CMQAAQASw1uofX27X795aq0qvc430iL6tNf36IWqaHO/SdAAQmgjEAAAAYe5IeZXueXWV3lix21H3GOn2H/bRxIt6yONhiTQA1EQgBgAACGOb9hfpprnZ2rS/2FFv2SReT90wVOf2aOnSZAAQ+gjEAAAAYWpx7i7d8+oqlVR4HfWzujbXrBuHqk1aokuTAUB4IBADAACEmfIqrx5+a53+8eX2oN5/X9hd00b2UVyMx4XJACC8EIgBAADCSN7BEk2en6MVOw856qkJsfrD2CG6fGBblyYDgPBDIAYAAAgTH23Yr6kLc3WopNJR79cuTXOyMtW1ZYpLkwFAeCIQAwAAhDivz+pPH2zUrGWbZJ07KmnssI763dUDlRgX485wABDGCMQAAAAh7Lvick1dmKtPv8131BNiPfrdVQN1/ZmdXJoMAMIfgRgAACBELd9eoMnzcrT3cJmj3qVFsp7JytSA9ukuTQYAkYFADAAAEGIqvT7N+nCTnv7wW/lqLJH+Yf82+sPYIUpPinNnOACIIARiAACAELI1/4huXZir3Bp3kY7xGN11eR/9vwu6yxjj0nQAEFkIxAAAACHAWquF3+zUb99aq5IKr6PXOjVBs24YqrO7t3BpOgCITARiAAAAl31XXK67X12l99fuC+pdPqCtHh0zSM1S4l2YDAAiG4EYAADARcs27Ne0RSuVX1zuqKfEx+g3owdo7LCOLJEGgAZCIAYAAHBBaYVXjy5Zp7//a3tQL7NzU80Yl6EuLVJcmAwAogeBGAAAoJGt3lWoKQtytPnAEUc9xmM0ZUQvTRreQ7ExHpemA4DoQSAGAABoJF6f1V8+2aI/vr9BlV7nfkpdWyRr5vihyujU1KXpACD6EIgBAAAaQd7BEt320gp9vbUgqHfDWZ1036j+SkngRzMAaEz8XxcAAKABWWu1OHe37n99tYrKqxy95inxemzMIP1wQFuXpgOA6EYgBgAAaCCFJZW6b/Fqvblid1BveJ9WeuK6wWqdmujCZAAAiUAMAADQIL7YnK/bX1qhPYVljnpCrEf3jeqnCT/ownZKAOAyAjEAAEA9Kq/yavp7G/Xcp1tknffN0sAOaZo5LkM9W6e6MxwAwIFADAAAUE827ivSlAW5WrfnsKNujDTxoh6aemlvxceynRIAhIoGDcTGmKaSBksqstbm1Oi1kzRL0mWSvJLelnS7tXZ/Q84EAABQ33w+qxf+tU2PLlmviiqfo9ehaZJmjMvQWd2auzMcAOC4jK25lqc+T27M7ZKekPSMtfZX1eqxknIk9Zd09MMzVtJaScOstRUNNlSYM8ZYyX/HSgAA4L59h8t0x6IV+vTb/KDeNUM76KGrBigtMc6FyQAgMh29/4K19rRvxNDQS6Z/GHh8sUZ9nKQBkkol/THwOE3+gPzfkp5u4LkAAABO27ur9+juV1fpUEmlo56WGKuHrxmk0UPauzQZAKA2GjoQ9ww8rqpRv17+K8K/sdY+KUnGmE2SFki6TgRiAAAQworLq/TQG2u0aHleUO+c7i00/fohat80yYXJAAB10dBLpgslyVqbXqN+UFKapI7W2j2BWrz8V4oLrLWtGmyoMMeSaQAA3LV8e4FuXbhCOwpKHPX4GI+mjeyjX5zfTR4P2ykBQEMJpyXTiZIcnwc2xvSRlC5p49EwLEnW2opqQRkAACCkVHp9mrX0Wz29bJN8Nf5eunebJpo5bqj6t+fHGAAIJw0diPdLam+MaWut3RuoXRp4/OIYxydJKmzgmQAAAOpka/4RTV2YqxU7DwX1fnZeV911eV8lxsW4MBkA4HQ0dCD+RtJVkm6TdKcxJlnSTfJ/fnhp9QONMR3kD8SbGngmAACAWrHWasE3O/XbN9eqtNLr6LVOTdCTY4fowt580gsAwlVDB+I/S7pa0u3GmB9LSpXUXv4rx6/WOPbiwGPNG3ABAAA0uu+Ky3XXK6v0wbp9Qb3LB7TVo2MGqVlKvAuTAQDqS4MGYmvtP40xD0p6QFKfQDlfUpa1trTG4TcGHpc15EwAAAAns2z9fk17eaXyi8sd9ZT4GD04eoCuG9bxPzd1AQCErwa9y/R/3sSYzpLOlnRI0tfW2sIa/XhJd0nySPpztc8bowbuMg0AQMMprfDqkXfW6R9fbg/qDevSTDOuz1DnFskuTAYAOKo+7zJdr4HYGJNsrS05+ZE4VQRiAAAaxupdhZqyIEebDxxx1GM8RlNH9NLE4T0UG+NxaToAwFGhvO1SvjHmfUlvSHrTWru/ns8PAABQr7w+qz9/sll/fG+jqmrsp9StZYpmjMtQRqemLk0HAGhI9X2FuEr+Zc828OtLSa9LesNau7He3iiKcYUYAID6s7OgRLe/tEJfbysI6t1wVmfdf2U/Jcc39D1IAQB1EcpLpptLulL+O0tfJilF/mAsSRvlD8eLrbVf1tub1m6uVEm3S7pWUjdJ3sA8CyTNstZW1ON7PSvpl4GX2621Xevr3IHzE4gBADhN1lq9nrtLD7y+RkXlVY5e85R4PX7tYF3Wv41L0wEATiRkA7HjxMYkyB+Kr5Y0StLRP1Ws/NsuvRH49YG1tvyYJ6mfObpI+khS10CpRFKMpITA6xxJI6y1B+vhvYZL+lDS0X8wBGIAAEJMYUml7n19ld5auSeod3GfVnr8usFqnZrowmQAgNoIi0DseBP/xD+QPxyP1vdbMFn5A+q78ofjt621wWuWTv19Y+QPvIMk7ZH0E2vtB8YYj6Sxkp6Tf2/kJdbaK07zvZIlrZTUWdIKSWeIQAwAQEj5YlO+bl+0QnsKyxz1xDiP7h3VXxPO7sx2SgAQ4sIuEAe9qTF95A/HV0k6S99/7tgr6XN9v7R622m+zy8kPR94ea619l81+jdImh94eam1dulpvNcMSVMl/V5SR0k/FYEYAICQUF7l1ZP/3KDnPt0a1BvYIU0zxw1Vz9ZNXJgMAFBXYR+IHQMY01r+q8ZXS7pEUqK+/9zxHdbaGadx7k8kXSBpmbX2kmP0jaTN8n+u+O/W2p+e4vv8QP4gv0nSEEnPikAMAEBI2LC3SFMW5Gj93iJH3Rhp0vAemjKit+Jj2U4JAMJFKG+75GCM6SzJa63ddbxjAlszPS/p+cDx10oaKukK+Zczn+p7J0s6L/ByyXHe2xpj3pU0UdIPT/F9EiT9j/yfG/6ltbaMpVYAALjP57P62xfb9Ni761VR5XP0OjRN0oxxGTqrW3OXpgMAhIKG3kdgm/yf3e1Qy+M/ltTJWhsb+Jxvi9N4737yL8WWpNUnOO5or60xpvkpfIb5gcB7PW+t/aiOXwsAABrAvsNlumPRCn36bX5Qb8zQDnrwqgFKS4xzYTIAQChpjI316nq51EiStdYn6cBpvG/7as+Pe4W6Rq+9pFoHYmPMUEl3StoXeDxtR5dEAwCAU7Nk1R7d89oqHSqpdNTTEmP1+2sG6cdD2h/nKwEA0SbUdppPlFR10qNqp/py65ITHFe9V+sl2saYWPmXSsdKuqU+tm0CAACnrqisUg+9uVYvL88L6p3bo4WmXz9E7dKTXJgMABCqQiYQG2PaS2ol/x7F4eBuSRmS3rLWvlRfJz3ZB8O5ggwAQLB/byvQrS/lamdBqaMeH+PRnZf30c/P6yaPh3t8AACc6jUQG2MulDS8RrmJMeaBE32ZpKby30TLSPqqnsapfivJ5BMcV71XdNyjqjHG9Jd0v6RiSZPqPhoAAKgPlV6fnlr6rWYv2yRfjb8y7tMmVTPHZ6hfuzR3hgMAhLz6vkJ8saTf6PttkyQpJVA7GSOpTNKj9TTL7mrPO0haeZzjqt/wa/dxjqlptqR4+b+vg8aYmhsXHv19NdV65dbaSgEAgHqx5UCxbl2YqxV5hUG9n5/XTXde3keJcTEuTAYACBf1HYi3yX+n6KMuklQp6V8n+BqfpMPy3+35BWvtpnqaZV3g3B5JA3WcrZcCPUnaW4c7THcLPD6qEwf4zvr+qvOtkmbW8vwAAOA4rLV68eud+t1ba1Va6XX02qQl6MmxQ3RBr1YuTQcACCf1GoittS9IeuHoa2OMT1KBtfbi+nyfWs5SYoz5XNIFki6X9Ieaxxj/hsEjAy/fa8TxAADAKcgvLtfdr6zUB+uCbznyo4Ft9cg1g9QsJd6FyQAA4aihb6r1M0mlJz2q4bwgfyC+2BhztrW25ueTx0rqHnj+99qe1Frb9UR9Y8zfJP1U0vaTHQsAAGrnw/X7dOfLK5VfXOGop8TH6KGrBurazA7y/103AAC142nIk1trX6jPOzCfghckrZL/88mvGGNGSJIxxmOMGSvpucBxS6y1S6t/oTHmQWOMDfzq2ogzAwCAakorvLrv9VX6+d/+HRSGh3VppiVTLtR1wzoShgEAdRYy2y41BGttlTFmtKRlkrpK+sAYUyL/XwQkBg7LkZTlzoQAAOBEVuUVasrCHG05cMRRj/UYTb20l266qIdiYxr07/cBABEsogOxJFlrtxljBku6Q9IY+W+IVSlpjaQXJc2y1lac4BQAAKCReX1Wz368WTPe36iqGvspdWuZopnjMjSkU1OXpgMARApjrT35UQgZxhgr+e+wCQBAJNpZUKLbXsrVN9sOBvVuPLuz7hvVT8nxEf93+gCA4zj6ERlr7Wl/VoY/TQAAQEiw1uq1nF16YPEaFZdXOXotUuL1+LWDdWn/Ni5NBwCIRARiAADgukMlFbr39dV6e+WeoN4lfVvr8WsHq1VqgguTAQAiGYEYAAC46vNN+br9pRXae7jMUU+M8+i+Uf2VdXZn7iANAGgQBGIAAOCK8iqvnvznBj336dag3qAO6Zo5PkM9WjVxYTIAQLQgEAMAgEa3YW+RpizI0fq9RY66x0iThvfULSN6KT6W7ZQAAA2LQAwAABqNz2f1v19s0+PvrldFlc/R69A0STPGZeisbs1dmg4AEG0IxAAAoFHsLSzTHYtW6LNN+UG9MZkd9ODoAUpLjHNhMgBAtCIQAwCABvfOqj2659VVKiytdNTTk+L0+2sG6srB7V2aDAAQzQjEAACgwRSVVeqhN9fq5eV5Qb3zerbQk2OHqF16kguTAQBAIAYAAA3k39sKdOtLudpZUOqox8d4dOflffTz87rJ42E7JQCAewjEAACgXlV6fXpq6beavWyTfNbZ69MmVTPHZ6hfuzR3hgMAoBoCMQAAqDdbDhRr6sJcrcwrDOr94vxumjayjxLjYlyYDACAYARiAABw2qy1evHrnfrdW2tVWul19NqkJWj62Ayd36ulS9MBAHBsBGIAAHBa8ovLdfcrK/XBuv1BvSsGtdUj1wxS0+R4FyYDAODECMQAAOCUfbh+n+58eaXyiysc9SYJsXpo9ACNyewgY7hxFgAgNBGIAQBAnZVWePX7d9Zq7pc7gnpndGmmGeMy1Kl5sguTAQBQewRiAABQJyvzDmnqwlxtOXDEUY/1GE29tJduuqiHYmM8Lk0HAEDtEYgBAECteH1Wz368WTPe36iqGvspdW+ZohnjMjSkU1OXpgMAoO4IxAAA4KR2FpTo1oW5+vf2g0G9rLM7695R/ZQcz48VAIDwwp9cAADguKy1ei1nlx5YvEbF5VWOXouUeD1+7WBd2r+NS9MBAHB6CMQAAOCYDpVU6N7XV+vtlXuCepf0ba3Hrx2sVqkJLkwGAED9IBADAIAgn2/K1+0vrdDew2WOemKcR/eN6q+sszuznRIAIOwRiAEAwH+UVXr15D836PnPtgb1BnVI18zxGerRqokLkwEAUP8IxAAAQJK0fu9hTV2Qq/V7ixx1j5EmDe+pKZf2UhzbKQEAIgiBGACAKOfzWf3P51v1xLsbVOH1OXodmyVpxrgMndm1uUvTAQDQcAjEAABEsb2FZbpj0Qp9tik/qDcms4MeHD1AaYlxLkwGAEDDIxADABCl3lm1R/e8ukqFpZWOenpSnH5/zUBdObi9S5MBANA4CMQAAESZorJKPfjGWr2SnRfUO69nCz05dojapSe5MBkAAI2LQAwAQBT5ZluBbl2Yq7yDpY56fIxHd17eRz8/r5s8HrZTAgBEBwIxAABRoNLr058++FbPfLRJPuvs9W2bqpnjM9S3bZo7wwEA4BICMQAAEW7zgWLdujBXK/MKg3q/OL+bpo3so8S4GBcmAwDAXQRiAAAilLVW877aoYffXquySud2Sm3SEjR9bIbO79XSpekAAHAfgRgAgAiUX1yuu15eqaXr9wf1rhjUVo9cM0hNk+NdmAwAgNBBIAYAIMIsXbdPd72yUvnFFY56k4RYPTR6gMZkdpAx3DgLAAACMQAAEaKkokq/f3ud5n21I6h3RpdmmjEuQ52aJ7swGQAAoYlADABABFiZd0hTF+RqS/4RRz3WY3TrZb1100U9FMN2SgAAOBCIAQAIY16f1ZyPNmnmB9+qqsZ+St1bpmjm+AwN7tjUpekAAAhtBGIAAMLUzoIS3bowV//efjCol3V2Z907qp+S4/mjHgCA4+FPSQAAwoy1Vq9m79Jv3lij4vIqR69FSryeuG6wRvRr49J0AACEDwIxAABh5FBJhe59bbXeXrUnqDeib2s9du1gtUpNcGEyAADCD4EYAIAw8dm3+bp9Ua72HS531BPjPLr/yv668azObKcEAEAdEIgBAAhxZZVe/eGfG/TXz7YG9QZ3TNeMcRnq0aqJC5MBABDeCMQAAISwdXsOa+qCXG3YV+Soe4w0aXhPTbm0l+JiPC5NBwBAeCMQAwAQgnw+q//5fKueeHeDKrw+R69jsyTNGJehM7s2d2k6AAAiA4EYAIAQs6ewVHcsWqHPN30X1Ls2s6MeHN1fqYlxLkwGAEBkIRADABBC3l65R79+bZUKSysd9fSkOD1yzSCNGtzOpckAAIg8BGIA/7+9+w6Tqjz7OP67t7EsWwDpoNI7YgVLrGCJ8U009tgVk/gmsURjyptCTLckGhM1ir0k1mgSe40tQUVAQQRBEGHpZXfZZfvz/nHOsDOzM7Oz9ezMfD/Xda6ZecqZe2aeKfecc54DoBuoqK7Tz/6xWE+8v7ZZ3RdG99P1p07VoJL8ACIDACB9kRADABCwd1dt1RUPL9CabTsjyvNysvT948brgoOHKyuL0ykBANDRSIgBAAhIbX2jbnp5mW59bYUaXWTd+EFFuvGMvTV+UHEwwQEAkAFIiAEACMDyjTt0xcML9OHasmZ1s74wQlcdO075udkBRAYAQOYgIQYAoAs55/Tg3NX65dMfqbou8nRKg4rzdcNpU3XI6H4BRQcAQGYhIQYAoItsqqjR9x//QK98vLFZ3ZemDNavTpqs3gV5AUQGAEBmIiEGAKALvPTRBn3/8Q+0pbI2orywR46u+coknbTPUJkxcRYAAF2JhBgAgE5UVVuvXz69RA/NXd2s7oDhffT70/bW7n0LAogMAACQEAMA0EkWfr5dlz+8QCs3V0aU52SZrjh6rL55+ChlczolAAACQ0IMAEAHq29o1K2vrdBNL3+i+qjzKY3s10s3nrG39hrWO6DoAABACAkxAAAdaPWWKl3xyALN+2xbs7qzD9xDPzp+ggry+PoFAKA74BsZAIAO4JzT4++v1ex/LNaOmvqIun6Febr2lL101PiBAUUHAABiISEGAKCdtlXW6v+e/FDPfLi+Wd3MCQP025P3Ur/CHgFEBgAAEiEhBgCgHd74ZJOuenShNpTXRJT3zM3WT06YqDOn7c7plAAA6KZIiAEAaIPqugZd+9xS3fXWymZ1U4eV6A+n762R/QsDiAwAACSLhBgAgFZasq5cl/9tgZZuqIgozzLpW0eO1qUzxig3Oyug6AAAQLJIiAEASFJjo9Ndb63Utc8tVW1DY0Td7n176g+n7a39h/cNKDoAANBaJMQAACRhXdlOXfnIQr29YkuzulP2G6af/c9EFeXnBhAZAABoKxJiAABa8K8PSvWjJz5UeXXk6ZRKeubqN1+douOnDA4oMgAA0B4kxAAAxFFeXafZTy3WE/PXNqv7wuh+uv7UqRpUkh9AZAAAoCOQEAMAEMM7K7fqiocXaO32nRHleTlZ+sFx43X+wcOVlcXplAAASGUkxAAAhKmtb9RNLy/Tra+tUKOLrBs/qEg3nrG3xg8qDiY4AADQoUiIAQDwLd+4Q1c8vEAfri1rVnfxoSN05THjlJ+bHUBkAACgM5AQAwAynnNOD8xdrV89/ZGq6yJPpzSoOF83nDZVh4zuF1B0AACgs5AQAwAy2qaKGl392EK9unRTs7ov7TVYvzpxsnoX5AUQGQAA6GwkxACAjPXSRxv0/cc/0JbK2ojyoh45uubESTpx76EyY+IsAADSFQkxACDjVNXW65dPL9FDc1c3q5s2vK9uOG2qdu9bEEBkAACgK5EQAwAyysLPt+vyhxdo5ebKiPKcLNMVR4/VNw8fpWxOpwQAQEYgIQYAZIT6hkbd+toK3fjyJ2qIOp/SyP69dNPp+2jKsJKAogMAAEEgIQYApL3VW6p0xSMLNO+zbc3qzjlwT/3o+AnqmcfplAAAyDQkxACAtOWc02Pz1mj2PxarsrYhoq5fYZ6uPWUvHTV+YEDRAQCAoJEQAwDS0rbKWv3fkx/qmQ/XN6ubOWGAfnvyXupX2COAyAAAQHdBQgwASDtvfLJJVz26UBvKayLKe+Zm6ycnTNSZ03bndEoAAICEGACQPqrrGnTtc0t111srm9VNHVaiP5y+t0b2LwwgMgAA0B2REAMA0sJHpeW6/OH5WrZhR0R5lknfPnK0vjNjiFXQJAAAIABJREFUjHKzswKKDgAAdEckxACAlNbY6HTnmyt13fNLVdvQGFG3e9+euvH0vbXfnn0Dig4AAHRnJMQAgJRVun2nrnxkof7z6ZZmdafuN0w//Z+JKsrPDSAyAACQCkiIAQAp6Z8LS/V/f/9Q5dX1EeW9C3L165Om6PgpgwOKDAAApAoSYgBASimvrtPspxbriflrm9UdOqafrjtlqgaV5AcQGQAASDUkxACAlPHOyq264uEFWrt9Z0R5Xk6WfnDceJ1/8HBlZXE6JQAAkBwSYgBAt1db36gbX1qmW/+9Qs5F1o0fVKSbzthH4wYVBRMcAABIWSTEAIBubfnGHbr84flatLa8Wd3XDxupK48Zqx452QFEBgAAUh0JMQCg22lsdFq1pVIvL9moG15cquq6yNMpDSrO1+9Pm6qDR/cLKEIAAJAOSIgBAIGqb2jUik2VWrS2TItKy7R4bbkWl5apsrYhZvsv7TVYvz5xikoKOJ0SAABoHxJiAECXqalv0CcbduxKfhetLdeSdeWqqW9ssW9Rjxxdc+Iknbj3UJkxcRYAAGg/EmIAQKfYWdugJevLtXitl/guKi3Tsg0VqmtwLXeOMm14X91w2lTt3regEyIFAACZioQYANBuO2rq9VFpuT5cW+YlwKVlWr5xhxpbn/tKkvboW6DJQ4s1aUiJ9t2jj6aP6MvplAAAQIcjIQYAtMr2qlotLi33d3v2tgB/urmyTesyk0b066XJQ0o0eWixJg8t0aTBJRwfDAAAugQJMQAgrk0VNf5EV027Pa/ZtrNN68rOMo0ZUKhJYcnvhMHFKuzBVxEAAAgGv0IAAHLOaV1ZdcRW30WlZdpQXtOm9eVlZ2ncoKJduz1PHlqi8YOKlJ/L+YIBAED3QUIMABnGOafVW6t2bfFdtLZMi0vLtbWytk3ry8/N0sTB3hbfyUNKNGloscYMKFJeTlYHRw4AANCxSIgBII01NDqt3LzDS35D5/ktLVdFdX2b1lfYI0eThvjJ79BiTR5SohH9eiknm+QXAACkHhJiAEgTdQ2NWr5xR9hMz+X6qLRcO+sa2rS+3gW5u7b4Th5SoilDS7RH3wJmewYAAGmDhBgAUlB1XYOWbajYtdvz4rVlWrK+QrX1jW1aX7/CHpoSmuXZn/RqaO+eMiP5BQAA6SsjEmIzK5J0paSTJY2Q1CBpmaS/SbrZOdfqA+fMbKikr0g6UtI+kob6Vesl/VfSHc65V9ofPYBMV1VbryXrysN2ey7XJxsqVN/Gk/wO7d2z2W7PA4rzOzhqAACA7s+ca9sPqlRhZntKek3ScL+oSlK2pB7+7fmSZjjntrVinbtL+kxS+KaTKv92z7CyuyR93TnXtv0VY9+3k7xJcQCkn7KddfqotFyL/cmuFpWWa8WmHWrrW374bgWa5E92FZrxuW+vvI4NGgAAoAuF9mBzzrV7V7a03kJsZtmS/ikvGV4n6Vzn3EtmliXpVEl3yNu6+6Ck41ux6mx5ye/Lku6T9JJzrtRf73hJv5a39fhCSaWSftIhDwhAWtlaWds00ZW/6/NnW6ratC4zaVT/Qk3eteW3RBOHFKs4P7eDowYAAEgfab2F2MwukjTHv3mwc+4/UfVnSnrIvznTOfdykustkTTKOfd+nHqT9Iyk4yTtkNTfOVfdhocQa91sIQZSjHNOGytqvOQ37Jjf0rK2fSzkZJnGDCwKS36LNWFwsQry0vo/TgAAAEkdu4U43RPi1yUdKulV59xRMepN0gp5xxXf55w7rwPv+1RJj/g393XOze+g9ZIQA92Yc05rt++MOM3RorXl2ryjpk3ry8vJ0oRBRRG7PY8dWKT83OwOjhwAACA1sMt0EsysQNIh/s1nY7Vxzjkze07SJZKO6eAQwjf98MsVSEONjU6fba1qttvz9qq6Nq2vZ272rsmuQpejBxQql3P8AgAAdIq0TYglTZAU+hW5KEG7UN0gM+vrnNvaQfd/hH9ZK29GawAprL6hUZ9urozY7fmj0nLtqKlv0/qK8nN2bfENnepoRL9eyuYcvwAAAF0mnRPiIWHX1yZoF143RFK7E2IzGyHpm/7Nh51z5a3oy77QQMBq6xu1bEOFP9Ozl/wuWVeu6rq2neO3b6+8ptMc+UnwHn0LOMcvAABAwNI5IS4Ku55o2tbwuqK4rZJkZj0lPSqpQNIWST9s7zoBdJ7qugbvHL+l5Vrs7/q8dH2F6hra9t/UwOIemjykxD/m10uCB5fkk/wCAAB0Q+mcEHc5M8uRN2v1fpLqJH3NOZdo63QzLR0YzhZkoO121NTro9LyiGN+l2/aoYbGtr2thvXp2XR+X/+43wFF+R0cNQAAADpLOifEFWHXCxK0C6+riNuqBf45jx+QdKKkennJ8AttXR+A9tleVavFu5Jfb+vvyi2VausE7SP79YrY6jtpSLF6F+R1bNAAAADoUumcEJeGXR8q6YM47YbG6ZO0sGT4dEkNks52zj3WlnUBaL3NO7xz/IYS4A/XlmnNtp1tWleWSaMHFPpbfr1lwuAiFeXndnDUAAAACFo6J8RLJDXKm2l6suKcesmvk6T1bZlh2k+GH1RkMvxw68MFkIzNO2o0f/V2PwH2Jr1aX17dcscYcrNNYwcWRez2PGFQsXrmcaY0AACATJC2CbFzrsrM3pJ0qKTjJF0X3ca8WW6O9W+2evfmOMnw39ocNIC4nHO65bUVuumlT1Tb0PrZnnvkZGnC4GLvNEf+1t8xAwvVI4fkFwAAIFOlbULsu1deQnykmU13zs2Nqj9V0kj/+n2tWbGfDD8k6TR5xwyzZRjoJM45/erpJZrz5sqk2vfKy9akISWaFJb8jurfSznZWS13BgAAQMYw19YZZlKAP+vz+5KmyDvf8HnOuZfNLEvSyZLmSCqW9Kxz7viovrMl/cy/OcI5tyqsLlvS/ZLOVNMEWo927qPZdd9O8hIEIBM0NDr9398/1N/e/TxmfUnP3F1bfUOTXg3frZeysjjNEQAAQDoKnc6ypTP0JLWudE+szGy4pFclDfeLquQdVxw6N8p8STOcc9ui+s1W/IT4MEn/9m/WSWrp2OPLOmrrMQkxMkldQ6O++8hC/XNh5Hx300b01QUHD9fkoSUa1qcn5/gFAADIIB2ZEKf7LtNyzq0ys70kXSXpq5JGyEtiF0v6q6SbnXO1rVxt+H6XuZIGttC+ZyvXD2S86roGffuh9/XSko0R5UeNH6BbztpX+bkc+wsAAID2SfstxOmGLcTIBJU19br4vvf09ootEeVf2muw/nDa3srL4VhgAACATMUWYgBpq6yqTuff847mr94eUX76/rvr11+domyODQYAAEAHISEG0G1s3lGjc+58R0vWlUeUX3jICP3khAkcKwwAAIAORUIMoFso3b5TZ8+Zq083V0aUXzpjjK6YOYZkGAAAAB2OhBhA4FZtrtRZc+Zq7fadEeU/On68vn7YqICiAgAAQLojIQYQqKXrK3T2nXO1qaJmV5mZ9KsTp+hr0/cIMDIAAACkOxJiAIFZ+Pl2nXf3O9peVberLDvL9PvTpuorew8NMDIAAABkAhJiAIGY++kWXXTve9pRU7+rLC87S3/62j46ZtKgACMDAABApiAhBtDlXlu6Ud+4f55q6ht3lfXMzdYd5+6vL4zpF2BkAAAAyCQkxAC61DMfrtNlf5uvuga3q6woP0f3XHCA9tuzb4CRAQAAINOQEAPoMo++97m+//gHamzKhdW3V57uu3CaJg8tCS4wAAAAZCQSYgBd4t63V+ln/1gcUTaoOF8PzJqu0QMKA4oKAAAAmYyEGECn+/Ory3Xd80sjyvboW6AHZ03X7n0LAooKAAAAmY6EGECncc7pd88t1W3/XhFRPmZAoR6YNV0Di/MDigwAAAAgIQbQSRobnX76j0V64L+rI8qnDC3RvRdOU99eeQFFBgAAAHhIiAF0uPqGRl392Ad6Yv7aiPIDhvfRnecfoOL83IAiAwAAAJqQEAPoUDX1Dbr0r/P1/OINEeWHjumn28/ZXz3zsgOKDAAAAIhEQgygw1TV1usb98/TG59sjig/btIg3XTm3uqRQzIMAACA7oOEGECHKK+u00X3vKt3V22LKP/qvkN17cl7KSc7K6DIAAAAgNhIiAG029bKWp1711wtWlseUX7OgXvq51+epKwsCygyAAAAID4SYgDtsqG8WmfPmatPNu6IKL/kiFG6+thxMiMZBgAAQPdEQgygzT7fWqWz5szV6q1VEeXfO3acvnXk6ICiAgAAAJJDQgygTZZvrNBZc+ZqQ3lNRPk1X5mkcw8aHkxQAAAAQCuQEANotUVry3TuXe9oa2XtrrIsk649ZapO2W9YgJEBAAAAySMhBtAq763aqgvueVcV1fW7ynKzTX88Yx99ccrgACMDAAAAWoeEGEDS3vxksy6+7z3trGvYVZafm6Xbzt5PR4wbEGBkAAAAQOuREANIyguL1+vbD81XbUPjrrLCHjm687z9NX3kbgFGBgAAALQNCTGAFj05f62ufHShGhrdrrLeBbm678Jp2mtY7wAjAwAAANqOhBhAQg/O/Uw/fnKRXFMurP5FPfTARdM1blBRcIEBAAAA7URCDCCuv/x7hX7z7McRZUN799SDs6ZreL9eAUUFAAAAdAwSYgDNOOf0hxeX6Y+vLI8oH9m/lx6cNV2DS3oGFBkAAADQcUiIAURobHT6xdMf6e63VkWUTxhcrPsvmqZ+hT2CCQwAAADoYCTEAHZpaHT64RMf6JH31kSU77tHb919/jSVFOQGFBkAAADQ8UiIAUiSausbdcUjC/T0B+siyg8etZvuOHd/9erBxwUAAADSC79wAai6rkGXPDBPry7dFFE+c8IA/elr+yo/NzugyAAAAIDOQ0IMZLgdNfW66J53NXfl1ojyL08dohtOm6rc7KyAIgMAAAA6FwkxkMG2V9XqvLvf1cLPt0eUnzltd/3yxCnKzrKAIgMAAAA6HwkxkKE2VlTr3Dvf0cfrKyLKLz50hH50/ASZkQwDAAAgvZEQAxlo7fadOnvOXK3cXBlRfsXMsbp0xmiSYQAAAGQEEmIgw6zcXKmz7vivSsuqI8p//KUJmnXoyICiAgAAALoeCTGQQZasK9c5d76jzTtqdpWZSb85aYrOmLZHgJEBAAAAXY+EGMgQ81dv0/l3v6uynXW7ynKyTL8/fW99eeqQACMDAAAAgkFCDGSA/6zYoln3vqvK2oZdZXk5Wbr1rH01Y8LAACMDAAAAgkNCDKS5Vz/eqG8+ME819Y27ygrysjXnvP118Kh+AUYGAAAABIuEGEhj//qgVJf/bYHqG92usuL8HN1z4TTtu0efACMDAAAAgkdCDKSpR979XD944gOF5cLqV5in+y6crolDioMLDAAAAOgmSIiBNHTXmyt1zb8+iigbXJKvB2ZN16j+hQFFBQAAAHQvJMRAGnHO6U+vLNcNLy6LKN9ztwI9OGu6hvUpCCgyAAAAoPshIQbShHNOv3n2Y93++qcR5eMGFun+i6ZpQHF+QJEBAAAA3RMJMZAGGhudfvzUIj00d3VE+dRhJbrngmnq0ysvoMgAAACA7ouEGEhxdQ2N+t6jC/XkgtKI8mkj+urO8/ZXUX5uQJEBAAAA3RsJMZDCqusa9J2/zteLH22IKD9iXH/detZ+6pmXHVBkAAAAQPdHQgykqKraen39vnl6c/nmiPLjpwzSjafvo7ycrIAiAwAAAFIDCTGQgsp21unCe97VvM+2RZSfst8w/farU5STTTIMAAAAtISEGEgxW3bU6Jw739FH68ojys8/eLh+esJEZWVZQJEBAAAAqYWEGEgh68p26uw5c7ViU2VE+bePHK0rjxkrM5JhAAAAIFkkxECKWL2lSl+b81+t2bYzovwHXxyvbx4+KqCoAAAAgNRFQgykgE82VOisOXO1saJmV5mZdM1XJuucA/cMMDIAAAAgdZEQA93ch2vKdO5dc7Wtqm5XWXaW6fpT99JJ+wwLMDIAAAAgtZEQA93YOyu36qJ73lVFTf2usrzsLP3xzH103ORBAUYGAAAApD4SYqCben3ZJn39/vdUXde4qyw/N0u3n7O/DhvbP8DIAAAAgPRAQgx0Q88tWq9L/zpftQ1NyXBRjxzddcEBOmB43wAjAwAAANIHCTHQzTzx/hp977EP1NDodpX1KcjV/RdN1+ShJQFGBgAAAKQXEmKgG7n/P6v0k6cWR5QNLO6hBy6arjEDi4IJCgAAAEhTJMRAN3Hrayv0u+c+jigb1qenHpp1oPbYrSCgqAAAAID0RUIMBMw5p+tfWKo/v7oionxU/156cNaBGlSSH1BkAAAAQHojIQYCtHlHjX777Md6bN6aiPJJQ4p134XTtFthj4AiAwAAANIfCTEQgPLqOs15/VPNeXOlqmobIur237OP7jz/AJX0zA0oOgAAACAzkBADXai6rkH3/WeVbnlthbZX1TWr/8Lofrr93P1UkMdbEwAAAOhs/OoGukB9Q6MenbdGN730idaXVzerzzLpjGl76KcnTFR+bnYAEQIAAACZh4QY6ESNjU7PLFqnG15YppWbK2O2OW7SIF15zFhOqwQAAAB0MRJioBM45/TvZZt03fNLtbi0PGabQ0bvpu8dO1577967i6MDAAAAIJEQAx1u3mdb9bvnluqdlVtj1k8dVqLvHTteXxjTr4sjAwAAABCOhBjoIB+vL9f1zy/VS0s2xqwfPaBQVx0zVsdOGiQz6+LoAAAAAEQjIQbaafWWKv3+xaV6amGpnGteP7R3T102c4y+us9Q5WRndX2AAAAAAGIiIQbaaGN5tW5+Zbn++s5q1Tc2z4R365Wnbx05WmcduId65DBzNAAAANDdkBADrVRWVafbXl+hu99aqeq6xmb1hT1ydPGhI3XRoSNU2IO3GAAAANBd8WsdSNLO2gbd/fZK3fbaCpVX1zerz8vJ0nkH7alLjhitvr3yAogQAAAAQGuQEAMtqK1v1MPvrtYfX1muTRU1zeqzs0yn7jdMl84YoyG9ewYQIQAAAIC2ICEG4mhsdPrHwlL9/sVlWr21KmabL+01WN89eqxG9S/s4ugAAAAAtBcJMRDFOadXPt6o655fqo/XV8Rsc9jY/rr62HGaPLSki6MDAAAA0FFIiIEwcz/domufX6p5n22LWb/PHr119bHjddCo3bo4MgAAAAAdjYQYkLRobZmue36p/r1sU8z6cQOLdNWx4zRzwgCZWRdHBwAAAKAzkBAjo63cXKkbXliqf32wLmb9sD49deUxY/XlqUOVnUUiDAAAAKQTEmJkpPVl1brp5U/0yHufq6HRNavvV9hDl84YrTMO2EN5OVkBRAgAAACgs5EQI6Nsq6zVrf9eoXvfXqWa+sZm9UX5Ofrm4aN0wSHDVZDH2wMAAABIZ/ziR0aorKnXXW+u1O2vf6qKmvpm9T1ysnTBISP0zcNHqndBXgARAgAAAOhqJMRIazX1DXpo7mr9+dXl2ryjtll9Tpbp9AN216UzxmhgcX4AEQIAAAAICgkx0lJ9Q6OeXFCqP7y4TGu374zZ5it7D9EVM8dqeL9eXRwdAAAAgO6AhBhppb6hUf9YWKqbX1mulZsrY7Y5avwAXXXMOE0cUtzF0QEAAADoTkiIkRbqGxr11IJS3fzKJ1q1pSpmmwOG99HVx43XAcP7dnF0AAAAALojEmKktPqGRv19/lr9+dXlcRPhCYOLdfWx43TEuP4y41zCAAAAADwkxEhJdWGJ8GdxEuGxAwt16YwxOn7yYGVlkQgDAAAAiERCjJRS19Cov7+/Vn96dblWb42dCI8bWKTLZo7RcZMGkQgDAAAAiIuEGCmhrqFRT7y/Rn96dbk+3xp71ujxg4p02YwxOpZEGAAAAEASSIjRrdXWNyXCa7bFT4QvnzlGx0wkEQYAAACQPBJidEu19Y16/P01+tMry+OeR3ji4GJdOmOMjpk4kEQYAAAAQKuREKNbqa1v1KPzPtctr65ImAhfPnOMjp44kFmjAQAAALQZCTG6hZr6Bj363hrd+lr8RHjSkGJdPnOsZk4YQCIMAAAAoN1IiBGoUCJ8y6vLVVpWHbPNlKElumzGGM0gEQYAAADQgTIiITazIklXSjpZ0ghJDZKWSfqbpJudc7XtWPdASVdLOkHSHpJ2Slos6V5JdzrnXPuiT0+19Y165L3PEybCew0r0eUzx+jIcSTCAAAAADqepXu+ZmZ7SnpN0nC/qEpStqQe/u35kmY457a1Yd37SXpe0m5+0Q5J+Wr6o+EFSV92ztW0JfY49+kkKVVft9r6Rj02b43+/Gr8ybKmDivR5TPH6ohx/UmEAQAAAEQI5QjOuXYnC2mdEJtZtryEd4qkdZLOdc69ZGZZkk6VdIekIknPOueOb+W6SyR9LGmQf3mOc+49M8uTdLGkP0jKlXSrc+5/O/AxpWRCXNfgJcKJZo3ee/feumzmGB0xlkQYAAAAQGwkxEkys4skzfFvHuyc+09U/ZmSHvJvznTOvdyKdf9C0o/l7SI9yTm3Mqr+h5J+LW/37InOuWVtexTN7jelEuK6Bu88wje/Ev88wlOHlejyo8eSCAMAAABoEQlxkszsdUmHSnrVOXdUjHqTtELeccX3OefOa8W6P5N3zPDdzrkLY9QXytsqXSjpGufcz9r2KJqtt9smxLX1jdpeVaveBXnKMumJ+Wt18yuf6POtsRPhvYaV6Ap2jQYAAADQCh2ZEKftpFpmViDpEP/ms7HaOOecmT0n6RJJx7Ri3ePkJcOJ1r3DzN6Q9EV/3R2SEHdHN760TLe//qmqahskSd84fKRe/GiDPt1UGbP9lKHeZFlHjWeyLAAAAADBSduEWNIESVn+9UUJ2oXqBplZX+fc1iTWPTlG/3jr/qKkiUmsM2Vlme1KhiXpL//+NGY7ziMMAAAAoDtJ54R4SNj1tQnahdcNkZRMQtzadRebWaFzbkcS6045vQtyE9ZPHFysy2eO0dETB5IIAwAAAOg20jkhLgq7XpWgXXhdUdxWHbPuFhPi0DHCqaSkZ+yEeGT/XrrqmHE6btIgZWWRCAMAAADoXtI5IUYXOWjUbsrNNtU1eLn80N49ddnMMfrqPkOVk53VQm8AAAAACEY6J8QVYdcLErQLr6uI2yrxuss7at0tzZTWHbcgDyjK10MXH6h/LizVpCHFOnGfoeqRkx10WAAAAACQUDonxKVh14dK+iBOu6Fx+rRm3fES4tC6y9P1+OGQA4b31QHD+wYdBgAAAAAkLZ33Z10iqdG/PjlBu1Dd+iRnmJYiZ5ZOZt0fJbleAAAAAEAXSduE2DlXJekt/+ZxsdqYN+Xxsf7NF1qx7qWSVrew7l6SDm3tugEAAAAAXSNtE2Lfvf7lkWY2PUb9qZJG+tfva+W6Q+3PMLPhMeq/JalQUoOkB1u5bgAAAABAJ8uEhPhDSSbpcTObIUlmlmVmp0q6w2/3rHPu5fCOZjbbzJy/DI+x7uslrZc3cdbTZraf3y/PzC6R9Au/3e3OuWUd/LgAAAAAAO2UzpNqyTlXb2ZflvSqpOGSXjKzKnl/BOT7zeZLOqsN6y4zsxMkPS9poqT3zKzCX2/oxLwvSLqiXQ8CAAAAANAp0n0LsZxzqyTtJekaeZNhOUl1kuZJukrSgc65bW1c9zxJkyT9QdIn8hLhSklvSrpY0hedczXtfAgAAAAAgE5gznW709oigdB5iHndAAAAAGQib25kyTln7V1X2m8hBgAAAAAgFhJiAAAAAEBGIiEGAAAAAGQkEmIAAAAAQEYiIQYAAAAAZCQSYgAAAABARiIhBgAAAABkJBJiAAAAAEBGIiEGAAAAAGQkEmIAAAAAQEYiIQYAAAAAZCQSYgAAAABARiIhBgAAAABkJBJiAAAAAEBGygk6ALSNmQUdAgAAAACkNLYQAwAAAAAykjnngo4BacDMnCQ559h0jZTFOEY6YBwj1TGGkQ4Yx6mDLcQAAAAAgIxEQgwAAAAAyEgkxAAAAACAjERCDAAAAADISCTEAAAAAICMREIMAAAAAMhIJMQAAAAAgIzEeYgBAAAAABmJLcQAAAAAgIxEQgwAAAAAyEgkxAAAAACAjERCDAAAAADISCTEAAAAAICMREIMAAAAAMhIJMQAAAAAgIxEQgwAAAAAyEgkxGgXMysys9lm9qGZ7TCzMjN718yuNLO8oOND92Zm55uZS2KZmWAdo8zsL2a20syqzWyjmT1vZicnGcO+ZvaAma0xsxozW2dmfzezo5Lsf6Tffp3ff42/vn2T7P9VP96Nfvwr/cczOpn+6HxmVmBmXzSzH5vZE2b2WdjYnJ3kOgaa2Q1mttTMdprZVjN7w8xmmZkl0Z9xjjZrzxj2v+OT+ZxO+Fqm8hg0z0X+e3armVWZ2TIz+72ZDUzm/tF+ZrabmV3gv+4fmVll2Fh40sxOSmId7frdmumf5WnLOcfC0qZF0p6SVkpy/lIpqTrs9vuS+gQdJ0v3XSSd74+VBknrEyyHxul/vD/uQmOuzF9X6PZdkizB/c+SVBfWfrukxrDbs1uIf3ZY20a/f+h2naRZCfqaH1+ofYMff/j76figXyMWJ0lHhL0u0UvCMeL330/S5rA+FVHj7nlJPRL0Z5yzBDaGw17/2jifz6FleDqOQUk9JD0XdX8VYbc3S9ov6Nc4E5aoMeQk7ZS0I6rsGUkFcfq363erMvizPN2XwANgSc1FUrakD/w3UamkmX55lqTTJZWHPpiCjpWl+y5qSohXtaHviLAvwjcljfXLCyX9POxD/uo4/Q+SVO+3+bukYX75bpJuC+t/Wpz+p4W1uU3Sbn75MH99zl//QXH6Xx3+JSap0C8fJ+ktv3yHpBFBv06ZvshLJrZKeknStZLOkLQuyR8gJWFtl0ja3y/Pk/QteUmGk3QL4zz41zpdl3aO4dl+u9faeN8pPQYl3aKmPwS+JSnPL9+u+9RiAAAam0lEQVTff087/7ksDvp1TvfFf67nSrpE0siw8uGS5oS9zvfH6Nuu363K8M/ydF8CD4AlNRdJF4W9sZq9eSSdGVY/I+h4WbrnovYlxPeH/RDpHaP+L2r6B7bZP76S3vDrP5CUG6M+tEVglaTsqLpsv9xJei5G37ywL943YtT3CfvyvS1OfeiLt9kXO0uXj9PsGGWh1392C31/4berUowf3JJ+GPZDZGyMesY5S9BjeLbalxCn7BiUNFZNScgPYtSP9N/bTtIvgn6d032RdGQL9eGJ4e5Rde363ZrJn+WZsAQeAEtqLpJe9984r8SpN0mf+m3uDTpelu65qI0JsaReYT9CfhqnzfCwL7cLoupGhtWdG6f/4WFtjoyqOyqs7rA4/c8LazMyqu7CsLo94/T/WdiXb6+gXyuWZq9P6MfF7Bbafea3uytOfaGadr/8eVQd45ylO4zh2WpjQpzqY1DSNX5dRbzxKelutfGPXZaOXSQdEPZ6nxRV167frZn8WZ4JC5NqodXMrEDSIf7NZ2O1cd676zn/5jFdERcyyhck9fSvxxuDq+Tt1iQ1H4NHh11/TrG9Ke/LLVH/Cnm73MUSHtfRUXWh2x855z5roX9PeY8XKcbMxknaw78Zb5zukPfPv9R8nDHOkepSfQyG+r/unKtsof+e/nsewakOu54dutLe3618lqc/EmK0xQQ1jZ1FCdqF6gaZWd/ODQkprr+ZzfNnfNxpZp/6sx4eEaf95LDrixOsNzQGJ8Xpv9E5tzFWR+dcg6SPW+i/xG8Xq/9GSZta6J/M+ydWf6SG8HGazGs9MUF/xjmCNsnMFvmf0Tv8WXbvMLN9EvRJ9TE4KUab1vRH1zoi7PqHYdfb+7s10z/L0x4JMdpiSNj1tQnahdcNidsKkAok7StvUooseZNPnCXpVTO7y8xyotqHxtM251xVgvWGxmD0+BsSVd/t+vuPa3uc/kgNrf2sLDazwhj9GefoDvrJSyyq5M28PFberLfzzOyXcfqk7Bg0syJJRUncP791ugEz6y3vOF7JOw52aVh1e3+3ZvpnedojIUZbFIVdT/TGDq8ritsKmaxU3uyKUyXlO+f6ykuOD5E3G6okXSDpD1H9QuMp0fgLr48ef6neH6mhvZ+VQY+zoPuje/hE3kzN4+R9Tu8m75jIYyXNk3fs5f+Z2ZUx+gY9htrTn986KcLMsuRNWjVYUo2k70Q16ajP4vb2T8X3QUYgIQYQGOfcC8652c65D5xzNX5Zg3PubXk/tp7ym/6vmY0JLFAAyFDOuQedc9c555Y55+r8slrn3Avyjo18128628xKAgs0OC7oAKCbJJ3gX/9f59zCIINB6iEhRltUhF0vSNAuvK4ibisgBudco6Sr/JtZkv4nrDo0nhKNv/D66PGX6v2RGtr7WRn0OAu6P7o551y1pB/5NwslzYhqEvQYak//ZN+/veL0QRcws+slfdu/eYVz7q4YzTrqs7i9/VPxfZARSIjRFqVh14cmaBdeVxq3FRCHc265pM3+zZFhVaHx1MefPTKe0BiMHn+lUfXdrr//uHrH6Y/U0NrPynJ/ptLo/oxzdGf/Cbs+MqouZcegc65CTYkBv3W6ITO7VlJoV/3vOedujNO0vb9bM/2zPO2REKMtlkhq9K9PTtAuVLfeObe1c0NChkl2Vs/QGIye1THUf4CZ9Y/V0cyyJY1vof8Ev12s/gMkhdYdr38y759Y/ZEawsdpMq/1Rwn6M86RilJ9DC6O0aY1/dFJzOw6Sd/zb17tnLs+QfP2/m7N9M/ytEdCjFbzZ8gLncfsuFhtzMzkHQMqSS90RVxIP2Y2St7MppK0MqzqTUk7/evxxuCe8mZElZqPwRfDrsfsL29ir9DEEvH6F0k6OE7/8PW+GFUXuj3BzPZQbKH+O+U9XqQYf5bT1f7NeOO0l6RD/ZvR44xxjlRwYNj1lVF1qT4GQ/0PTbBlL9T/s6iZjdFJ/N2kQ4dUXe2cuy5R+/b+buWzPAM451hYWr1IukjeRBKNkqbHqD/Nr3eSZgQdL0v3WyRZS/WSnvDHUIOkcVH19/t1pZJKYvS/xa8vl9QnRv0bfv0CSbkx6p/x61dJyo6qy/bLnaSnY/TNlbTQr38jRn0fPy4n6ZYY9b39x+Uk3R/0a8USc3yGXv/ZLbT7hd+uUtLwGPVX+/X1ksbGqGecswQ2hpP4nO4h6b/+enZI6p1OY1DeqaXq/fqrY9QPlzczr5P0i6Bf00xYJF2vpt+XV7aiX7t+t2byZ3kmLIEHwJKai6QcSR/4b541oQ8PeXsdnCqpzK97JuhYWbrn4v+QeEfSN+Qdd2Z+eZa8LQ7PhX05xfohM0LeDzAn6XVJY/zyXpJ+6n/pxfwR47c7KOyHzuOShvrlfcO+mJyk0+L0D//yvEVSX798qL++0BfjQXH6h748G/14e/nlY8O++HZIGhH0a8Wy64d1v7Bltf8aXRtVXhjVr0TSOr/tYkn7+eV5ki6Rd4qQmGOccc4S9BiWdLi8U+CdLWlYWHmuvAm03gkbH2k5BsNirPHfs3l++X7+e9r57/FmSQ5Lh4/h34WNhSta2bddv1uV4Z/l6b4EHgBL6i7yEpqVYW+wSnm7hIRuv68Y/3KxsDi3a/y4sKVa0ib/Mrz8Lkk5cdZxvD/uQm23h31hOEl3K8EWDkmzJNWFtd8W9qXk1PLWv9lhbRv9/qHbdZJmJehr/mMLta/34w9/Px0f9OvEsuv1WhU1LuMt98Tou5+8yeFCbcol1Ybdfl5SjwT3zThnCWQMSzoiqq5K3ud0+PhtkPSrFu47ZcegvK3g4X/Q1qppq7Pz39v7Bf36pvsiaY+oMbe+heWqGOsYrnb8blUGf5an+xJ4ACypvcg7HuHnkj6U989XuaT35M36lxd0fCzdd5HUU96pEh6U92/rRv8DuULeBBh3SjokifWMknS7/yVX439ZvSDp5CTj2NePYY3ff72kv0s6Ksn+R/nt1/v91/jrS+oHkqST/XhDfwas8h/P6KBfI5aI12lV2A+HViXEfv+Bkn4vaZn/A2ybvK1TsyRlJXH/jHOWLh/Dknbzv88fk7RU0hb/c7pM3q6bN0uaku5jUF5SPct/z27z38PL/Pf0wKBf20xY1PxP9JaW2XHW067frZn+WZ6uS2gXRQAAAAAAMgqzTAMAAAAAMhIJMQAAAAAgI5EQAwAAAAAyEgkxAAAAACAjkRADAAAAADISCTEAAAAAICOREAMAAAAAMhIJMQAAAAAgI5EQAwAAAAAyEgkxAAAAACAjkRADAAAAADISCTEAAAAAICOREAMAAAAAMhIJMQAAAAAgI5EQAwDQxczsHjNzZnZP0LG0lpm94cc+PU79FDN7xMzWmVm933ZBV8eJxMzsCP+1cR20vgP99b3eEesDgK5CQgwASMjM+phZdejHs5mNCTomBMPMTpb0BUnPOOfmxqgfIektSadKGiSpTNIGSZu7Mk50PefcfyU9L+lQMzsp6HgAIFkkxACAlpwlqUfY7QuDCiSNrJO01L9MCWaWK+m3/s3ZcZp9Q1KRpOWSdnfO7eacG+Scm9kFISJ4s/3L35pZTpCBAECySIgBAC25yL+82b88z8yygwomHTjnfuicG++c+2HQsbTCyZJGS3rPOfdunDZT/MunnHNruiYsdBf+VuKFksZKOjHgcAAgKSTEAIC4zGxfSXtL2i7pakmfShos6YtBxoVAfNO/fCBBmwL/ckcnx4LuKzQ+vhFoFACQJBJiAEAioa3DDzvnqiXdH1UeU/ikUeaZZWZvmtkWv/x8v13ExD5mto+ZPWhma8yszsxeC1vnADO70MyeMLMlZlZmZjvNbLmZzTGzSTHiyPbX5czs6hZivshvV2Fmhck+QWaWY2ZfN7PXzGyzH/cWM1tqZg+bWbNdzONNqmVms8OO1W5pGR5jvflmdqmZ/duPpdbM1pvZk2Z2XLKPKcZ6x0g6XJKT9LcY9av81/AIv+hnUbEeEfX4XktwX3Ene4rub2YzzOxpM9vkH+e+xMx+Zmb5LTye3czsp2Y218y2+n1XmdnzZvZNMytJ6olpvt5RZnazH8cOM6vyr99oZnvEaP8P//E8kcR6Q8/lF8LKe5rZl83sDjNb4D8PNWZW6r/mbf7jyszGm9ntZrbMfxw7zexzM/uvmf3azMbH6fqQfznDzEa29f4BoKtwfAcAICY/qfiaf/O+sMufSjrBzAY65za0tBpJj0g6RVKjvEmWGuPc38mS/iopV1K5pPqoJtdKOi/sdrm877FR/nK2mZ3lnHs81MA512BmcyT9TNIsM7vOORdvVt2L/cu/OueS2sJp3q7jz0g6Oqy4TFIvSX3l7Tp6mqS7klmfvC2riZ7TAnnH6MaKZYykpyWFJj1z8p6jgZK+IukrZnarc+5/k4wlXCiZXhbnNd8kKV/eY86VVKnIrcS1bbjPhMzse5J+598sk5Qnaby841gPN7OjnXMNMfodIy+p7+MX1fux7ukvx0haL+nJVsZzsaQ/y3v8klQjb6yP95cLzOwU59yLYd3uk/Q/kr5kZn2dc1vjrP5s/3KlvEnLQk6XdHfY7Z3+4xmsptf8BufcVa18LEdL+qea5g6ok/eaDvOX6fJe09nRfZ1zpWa2Qt578lhJt7bmvgGgq7GFGAAQz8mSekta7px7W5Kcc59KelNeInpOEuv4qrxjCa+S1Mc511dSibzZaKPdI+lFSROccyXOuZ5qSlIlLxn4paR9JBU650rk/WCfLOlB//q9ZjYkar13yEsSxqhpC2YEM5si70e+JP0liccVcqa8ZLha0ixJRc653pJ6yktEvyrp8fjdIznnrvcnoWq2SBonKXRc7vsKm5DLzHpLekHeY3xF0mGSevqx9Jb0XXlJ3yVmdlkrHl/IYf7lO3HiPsCP8W2/KPpxvB2rXztMlTfB128lDXDO9ZH3OK/x649U5J8nkrw9ECQ9JS8ZXizpeEkFfv9ekg6QdIOkitYEY2YnSrrdv/lbScPljYFe8pLhRyUVS3osakvxPyVtk5fMn5bgLkIJ8f1Rf+hs9+/3SEn9nHMFzrlekobI+xOoTtKVZvbl1jweSbfIez+9IGmKcy7Pf456yjtOfLakzxL0D81Afngr7xcAup5zjoWFhYWFpdkiL7Fykn4SVT7LL1+SoO89fhsn6TsJ2h0R1m6upOx2xPsvfz0/jlH3d7/ur3H63uzXz2vlfd7i9/tLK/uFnp97kmyfI+klv88aSUOj6q/z616WlBNnHSf5bTbFa5Pg/lf7fa9sod1rfrvZcepn+/WvJTMmEvRPdB+P+/Uvxqh7w69bJqmkrWMtap15/mviJF2YoN1Tfpsbo8pv88vfjtPvoLDHPLqVsV3l93sp2edZ0oCw+xvcxuckdL+fdcRzzMLCwtKZC1uIAQDN+Mf+HSHvR+39UdWPyNs1c7yZHdzCqrYp+S2u17kYu7i2wtP+5Rdi1IV22zzJzPqFV/i7hoe2wLVm67DkbaGTvHPudqZbJc2Qt9vql51za0MVZmZqOhXWDc656F3NQ56Utwt1P0n7JXvH/voH+zc3tTLuzlIj6fo4dU/5l3uFF/q7lIfGxo+cc2UdFMsXJQ2Vt6v73QnahQ47ODaqPPT+OsjMRsfoF9oT4z/OueWtjC30njjIkp8ZvkJNhzUMTtQwgdB5p9vaHwC6DAkxACCWC+Ud//uGc25VeIVzrlxNx1e2dE7id51zyR4/+lZLDcxsqpndYmYfmFm5mTWGTcB0i99sWIyuL0paIW830HOj6k6Vt7vtDjVNCJSsZ+T9afBlM3vWzM6Msct2u5jZ9+VtlW+UdLZz7v2oJhPlHbsrSff4k2g1W+TtYh2aLGzPVoTQW01zjsQ7xrWrLXbxj/Mu9S/7RpWH/rxpkPRsB8YSSrL7SFqX4Pm/w28X8dw7596SNzalpj9mJElmlifvOGGpKaFWVJuBZvZzM/uPeZO51Ye9Jz7ymxWo6ZjphJxzO+XtaSBJz5nZNWY23Y8lWaFxkuvvzg8A3RYJMQAggpllqen4y5g/wiXd61+ebolnZN7YirtO2NbMvi3v2NlL5B3HWChvMqUN/lLuN+0V3dc559R0jOfFUdVf9y8fSpBkxeSce1PS9+VNMHScvIR6rT8b791mdmRr1hfNn2jsN/7N7zvnYk30FJ6A95d37HK8JfS9X6Dkhc/YXNOKfp0p0TG+oS3k0ROHhrbib3bOVXZgLKHnP0+Jn/tQQtozxjpCW4mjj8s/Xl5iXyPp4ehOZnaQpI/lTXR3oN92p7z30gY1bamVYrwvEpgl73zC/SX9RNJ/JVWYN1P898ws+s+GaDvDriec8RsAgkZCDACIdqyatrLOsRin/JH0nF9fqMSTASW9C3Si3aXNbIKkG+V9bz0qaZqkfOdcH9c06dR3Q83jrOYueYnFeDM7zF/veDVt4bs9Tr+W4r5O0ghJV8jbcr5R3vN3vqRXzOxRM8uNv4bYzGyavETJJM1xzsXbRTh8V9hBzjlLYrmnFaFsCbue1FbGbi7eLONtFXr+n0vyuY81PkMJ8UgzOySsPJQg/8s5ty28g5nlyJuVvbekBfKS52LnXJFzbqD/njgwvEuyD8g5t1rSvvL+5PmjpHny3nuHyJvtfbmZHZVgFeEJ85a4rQCgGyAhBgBES3iO4Rha2m26I5wiL/FYIukM51ysXbETHsfrnNusphmfL466nOecm9fW4Jxzpc65G51zJznnBso7fnVOWOyXtGZ9ZranpH/I25r4qqREp0paH3Z9SmvuJxn+8xza+t7SlsGWhLbeJtpq2KZzACchNCt3fzNrzdbSloSe/zY/986bvT10yMA5kmRmfSR9yS+LPo5f8ibb2lPen04nOOeedc5Fbzlv87HtzrlG59zzzrnLnHP7y3vtz5I3wVofSQ8l2I06NE7KnHN1bY0BALoCCTEAYBcz6y8pdIqWU+Sd8zbeMs1vd4i/pbUz7e5fLnTOxTyPsaSZSawnNLnWKWY2SE3HE7dp63A8zrkPnXMXqynJOTpR+3BmVixvxuyB8mZDPrmFpGKRmhLWM9oQbjJCx6KObOd6Qls5d0/QZnqCuvYInfopW95EWB0l9BoPNbNYE7olK3R4wmlm1kPenhc95O32/EyM9qHncFP4JGtRknlPJMU5V+Gce0hNf5gNVPw/AUb4l0s66v4BoLOQEAMAwp0jKVfesbn/dM7tSLC8K+/4RanztxKHZgSe4s96HMHMvqg45xgO5x/zu0jeFsqH5c243JbJtEL326OFJqFjKZPaddzfDfYReedW3iLpS9G7ykbzZ5W+y795XktJWRLHf8byun85LWGrli30L4eY2YHRlWY2QM2P8e4Q/gzNocfxa/+Ph47wTzVtfb7JzBIen53g+X9E3i79fSSdoKbdpf8W5w+R0HtioJkNjHE/wyRd2kLsseJrafKs8OOD443r0J8a/27t/QNAVyMhBgCECyW2TyU5O/Sj/uW5fjLXWULHLE+S9OdQUmFmvczsG5IeU/LHKoZOrXSYf9nqybTCPGlmd5nZF8Nn0zWzvmb2Y3mnSpJib+GL5SZ5x3DXytsynOxpdn4hb6biHHkzA3/X39ofiqfEzI4zs3vlnYu3tV7zL/dvxel7Ynlb0mf+9XvMbH/zZJnZEf79dOZvk8skVUsaI+kt/znJlSQzK/BnU77NzJLesuqcq5a3S7uTd9ztW2Z2bHhiaWYjzOwbZvaO4uz+7pzbLi+5lqQfyjteV4q9u7QkvSnvNFwm6REzG+vfV7aZHaumc0K31sH+LO5XmNkEf5I9+a/TwWray2KNpA+jO/vjI3RaLxJiAN0eCTEAQJLkb7Gb5N98NFHbMKF2A9V0vGOHc869LOlv/s1LJG0xs23ytpLdJm/XzNlJru4+eYlESHt2l+4p6QJ5Ce82MyszszJ5yfkv5CUrj6npeOKWhJ5Dk/RwvFP4+Muu3Y6dc1vl7Za9UN5swjdI2mhm2/x4tss71dC58mZDbq2X5Z2DuJekRJMpJeTv7v4NSXWSxkl6V94W+kp5x0rnSPpWW9efxP0vkPQVeeNmsrznpNLMtvox/NePL9HM6bHW+6S8LbpVkvaW9wdOpZltNrNqSZ/KG6cHKHGSGtptOpRQLnXOvRPnPsskXeXfPEzSUjOrkPd8PifvWOwLWvM4wkyR9Ht5u8pXm9lmeX/SvOXXlUv6WpyJ8GbIGycb1XT6JgDotkiIAQAhoWMDyyS9kEwH59yHajpOsLWTcbXWWZIul/SBvF1Ls+VtoQptTUtqK69/HuXQ42vXZFqSviPvtEvPSPpEXiLbU965cP8hbyvvqQmOe44nV4lP4TNQkbNLyzm3UtL+8pLef8nbjbeXvAR4paS/y9sD4KDWPkh/b4G7/ZtntbZ/1Lqel3SoH+M2eY/jc0m/lZcIro/fu/2ccy/I20L8K0nz5e0C3FPSKknPy0uIX2nDeh+UNFrSLyW9J2889pa3RXqBpD/JO6b3dwlW86y8Px5C4p32LHSft8n7E+U1//5yJK2VdLOkqYqxBTcJ78o7fvlWebNLb5aXXIcex7WSJjjn4u1pEBofd7fiHOQAEBjzTs0IAEBm8I/7XStpN0nfcM516IRa6crMRsqb5KtK0uAOPpcv0oA/e/c6eee5HuvPng0A3RpbiAEAmeZMeclwudo4mVYm8pObO+XNMN5puzUjpX1b3viYQzIMIFWwhRgAkDHMbJS83UuHSbrWOff9YCNKLf5sxsvl7WY8gq3ECDGzQnm75udLGu2c2xBwSACQlM6cERQAgG7BzN6Ud27UQfL2jloj6TeBBpWCnHMbzOwceRNHDZe0ONiI0I0Ml/RnSfNJhgGkErYQAwDSnpmtkrSnvNmfX5d0dStOaQQAANIUCTEAAAAAICMxqRYAAAAAICOREAMAAAAAMhIJMQAAAAAgI5EQAwAAAAAyEgkxAAAAACAjkRADAAAAADISCTEAAAAAICOREAMAAAAAMhIJMQAAAAAgI5EQAwAAAAAyEgkxAAAAACAjkRADAAAAADISCTEAAAAAICOREAMAAAAAMhIJMQAAAAAgI5EQAwAAAAAyEgkxAAAAACAj/T9z3CNC8WCcjQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Try timing as wall clock for more flexibility...\n", "# https://www.techbeamers.com/python-time-functions-usage-examples/\n", "# Get similar results for time.time(), time.clock() and time.perf_counter()\n", "import time\n", "\n", "tS = time.perf_counter()\n", "tBench = []\n", "fEvals = []\n", "\n", "# Set QNs for calculation, (l,m,mp)\n", "for Lmax in np.arange(0,11):\n", " QNs = []\n", "\n", " for l in np.arange(0, Lmax+1):\n", " for lp in np.arange(0, Lmax+1):\n", " for m in np.arange(-l, l+1):\n", " for mp in np.arange(-lp, lp+1):\n", " for L in np.arange(0, l+lp+1):\n", " M = -(m+mp)\n", " QNs.append([l, lp, L, m, mp, M])\n", "\n", " QNs = np.array(QNs)\n", " \n", " tQN = time.perf_counter()\n", " \n", " #****** LOOP OVER QNs and calculate\n", " w3j_QNs = []\n", " for n in np.arange(0, QNs.shape[0]): \n", " w3j_QNs.append([QNs[n,:], sf.Wigner3j(QNs[n,0], QNs[n,1], QNs[n,2], QNs[n,3], QNs[n,4], QNs[n,5])])\n", "\n", " tLoop = time.perf_counter()\n", " \n", " tBench.append([tQN, tLoop])\n", " fEvals.append([Lmax, len(QNs)])\n", " \n", "tBench = np.asarray(tBench)\n", "# print(tBench)\n", "tDeltas = np.c_[tBench[:,1]-tBench[:,0]]\n", "# print(tDeltas)\n", "\n", "# Plot\n", "fEvals = np.asarray(fEvals)\n", "plt.figure(dpi = 180)\n", "plt.plot(fEvals[:,1], tDeltas)\n", "plt.xlabel('Array size (func evals)')\n", "plt.ylabel('t/s')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**> Compare with Matlab code - massively faster...**" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Check fEvals for consistency:\n", "[ 0. -12. -42. -98. -188. -320. -502. -742. -1048. -1428.\n", " -1890.]\n" ] } ], "source": [ "# Compare with Matlab benchmarks (not even funny...!)\n", "x = loadmat(r'wigner3j_bench_t_090819.mat') \n", "w3jBenchMatlab = x['w3jbench']\n", "\n", "plt.figure(dpi = 180)\n", "plt.plot(fEvals[:,1], tDeltas)\n", "plt.plot(w3jBenchMatlab[1:,1], w3jBenchMatlab[1:,2])\n", "plt.xlabel('Array size')\n", "plt.ylabel('t/s')\n", "plt.show()\n", "\n", "print('Check fEvals for consistency:')\n", "print(w3jBenchMatlab[1:,1] - fEvals[:,1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note slight difference in overall fn. evals (probably an extraneous extra loop in Matlab code), but won't make a significant difference here." ] } ], "metadata": { "jupytext": { "formats": "ipynb,py:light" }, "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 4 }