From 709e1dc1337bc27686d195bbd0f5edc53db94e5c Mon Sep 17 00:00:00 2001 From: ilan-tz <57886357+ilan-tz@users.noreply.github.com> Date: Mon, 20 Jan 2020 15:59:05 -0500 Subject: [PATCH 1/4] GKPstates The file contains a tutorial for optical state prep of GKP states. --- docs/gallery/gkp.ipynb | 402 +++++++++++++++++++++++++++++++++++++++++ 1 file changed, 402 insertions(+) create mode 100644 docs/gallery/gkp.ipynb diff --git a/docs/gallery/gkp.ipynb b/docs/gallery/gkp.ipynb new file mode 100644 index 000000000..be5e4a769 --- /dev/null +++ b/docs/gallery/gkp.ipynb @@ -0,0 +1,402 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# GKP states" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "ExecuteTime": { + "end_time": "2020-01-20T19:40:13.314552Z", + "start_time": "2020-01-20T19:40:13.305550Z" + } + }, + "source": [ + "Ilan Tzitrin and J. Eli Bourassa\n", + "\n", + "In this tutorial, we numerically simulate the preparation of an approximate Gottesman-Kitaev-Preskill (GKP) state using an optical circuit. The state we target is\n", + "\n", + "$\\left|0_\\Delta\\right> \\approx S(0.196)[0.661\\left|0\\right> - 0.343\\left|2\\right> + 0.253\\left|4\\right> - 0.368\\left|6\\right> + 0.377\\left|8\\right> + 0.323\\left|10\\right> + 0.365\\left|12\\right>]$,\n", + "\n", + "which has 96.9% fidelity to the normalizable GKP state $\\left|0_\\Delta\\right>$ for $\\Delta = 10 \\text{ dB}$. \n", + "\n", + "For more on GKP states, including the notation and terminology, see \"Towards practical qubit computation using approximate error-correcting grid states\" (arXiv:1910.03673) by I. Tzitrin, J. E. Bourassa, N. C. Menicucci, and K. K Sabapathy." + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "metadata": { + "ExecuteTime": { + "end_time": "2020-01-20T19:49:01.369843Z", + "start_time": "2020-01-20T19:49:01.353114Z" + } + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "from qutip import wigner, Qobj, wigner_cmap\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import matplotlib as mpl\n", + "from matplotlib import cm\n", + "\n", + "import strawberryfields as sf\n", + "from strawberryfields.ops import *\n", + "from thewalrus.quantum import state_vector, density_matrix" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Ideal Preparation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we setup some basic parameters, like the value of the photon-number-resolving detectors we will use to herald and the amount of squeezing and displacement to use. The origin of these parameters is discussed in the reference above." + ] + }, + { + "cell_type": "code", + "execution_count": 190, + "metadata": { + "ExecuteTime": { + "end_time": "2020-01-20T20:11:02.845377Z", + "start_time": "2020-01-20T20:11:02.838377Z" + } + }, + "outputs": [], + "source": [ + "m1, m2 = 5, 7\n", + "params = np.array([-1.38155106, -1.21699567, 0.7798817, 1.04182349, \n", + " 0.87702211, 0.90243916, 1.48353639, 1.6962906 , \n", + " -0.24251599, 0.1958])\n", + "sq_r = params[:3]\n", + "bs_theta1, bs_theta2, bs_theta3 = params[3:6]\n", + "bs_phi1, bs_phi2, bs_phi3 = params[6:9]\n", + "sq_virt = params[9]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we setup a 3-mode quantum circuit in Strawberry Fields and obtain the covariance matrix and vector of means of the Gaussian state." + ] + }, + { + "cell_type": "code", + "execution_count": 204, + "metadata": { + "ExecuteTime": { + "end_time": "2020-01-20T20:45:42.013639Z", + "start_time": "2020-01-20T20:45:42.001652Z" + } + }, + "outputs": [], + "source": [ + "nmodes = 3\n", + "prog = sf.Program(nmodes)\n", + "eng = sf.Engine(\"gaussian\")\n", + "\n", + "with prog.context as q:\n", + " for k in range(3):\n", + " Sgate(sq_r[k]) | q[k]\n", + "\n", + " BSgate(bs_theta1, bs_phi1) | (q[0], q[1])\n", + " BSgate(bs_theta2, bs_phi2) | (q[1], q[2])\n", + " BSgate(bs_theta3, bs_phi3) | (q[0], q[1])\n", + " \n", + " Sgate(sq_virt) | q[2]\n", + "\n", + "state = eng.run(prog).state\n", + "mu, cov = state.means(), state.cov()" + ] + }, + { + "cell_type": "code", + "execution_count": 185, + "metadata": { + "ExecuteTime": { + "end_time": "2020-01-20T20:08:40.384809Z", + "start_time": "2020-01-20T20:08:40.378807Z" + } + }, + "outputs": [], + "source": [ + "# Here we use the sf circuit drawer and standard linux utilities\n", + "# to generate an svg representing the circuit\n", + "file, _ = prog.draw_circuit()\n", + "filepdf = file[0:-3]+\"pdf\"\n", + "filepdf = filepdf.replace(\"circuit_tex/\",\"\")\n", + "filecrop = filepdf.replace(\".pdf\",\"-crop.pdf\")\n", + "name = \"cubic_circuit.svg\"\n", + "# !pdflatex $file > /dev/null 2>&1\n", + "# !pdfcrop $filepdf > /dev/null 2>&1\n", + "# !pdf2svg $filecrop $name" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now inspect the covariance matrix and vector of means. Note that the vector of means is zero since we did not use displacement gates in the circuit above. This is due to the symmetry of the GKP wavefunction about the origin in phase space." + ] + }, + { + "cell_type": "code", + "execution_count": 205, + "metadata": { + "ExecuteTime": { + "end_time": "2020-01-20T20:45:44.912712Z", + "start_time": "2020-01-20T20:45:44.906722Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0. 0. 0. 0. 0. 0.]\n", + "[[ 5.00170445 0.15101176 -3.12729025 -3.93663741 -0.57864296 0.45079939]\n", + " [ 0.15101176 4.88633214 -3.69458049 -1.32442707 3.78723601 -0.30858687]\n", + " [-3.12729025 -3.69458049 4.798272 3.42705308 -2.38393578 0.05410287]\n", + " [-3.93663741 -1.32442707 3.42705308 5.56202806 1.90025335 2.97323959]\n", + " [-0.57864296 3.78723601 -2.38393578 1.90025335 6.15012337 3.65219485]\n", + " [ 0.45079939 -0.30858687 0.05410287 2.97323959 3.65219485 5.4342486 ]]\n" + ] + } + ], + "source": [ + "print(np.round(mu, 10))\n", + "print(np.round(cov, 10))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We now use The Walrus to obtain the Fock representation of the Gaussian state emerging in the 3rd mode when modes 1 and 2 are heralded in the values $n_1=5$ and $n_2=7$. We also calculate the probability of success in heralding the state." + ] + }, + { + "cell_type": "code", + "execution_count": 206, + "metadata": { + "ExecuteTime": { + "end_time": "2020-01-20T20:45:46.916980Z", + "start_time": "2020-01-20T20:45:46.891976Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The probability of successful heralding is 0.00106.\n" + ] + } + ], + "source": [ + "cutoff = 25\n", + "psi = state_vector(mu, cov, post_select={0: m1, 1: m2}, normalize=False, cutoff=cutoff)\n", + "p_psi = np.linalg.norm(psi)\n", + "psi = psi / p_psi\n", + "print('The probability of successful heralding is {:.5f}.'.format(p_psi ** 2))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We now plot the photon-number distribution of the heralded state. Note that the state has zero support on the odd Fock states due to its symmetry, and the support tapers off after $n=8$." + ] + }, + { + "cell_type": "code", + "execution_count": 207, + "metadata": { + "ExecuteTime": { + "end_time": "2020-01-20T20:45:49.472496Z", + "start_time": "2020-01-20T20:45:49.292043Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.bar(np.arange(cutoff), np.abs(psi) ** 2)\n", + "plt.xlim(-1, 22)\n", + "plt.xticks(np.arange(0, 22, 2))\n", + "plt.xlabel('$i$')\n", + "plt.ylabel(r'$p_i$')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now plot the Wigner function of the heralded state:" + ] + }, + { + "cell_type": "code", + "execution_count": 208, + "metadata": { + "ExecuteTime": { + "end_time": "2020-01-20T20:45:53.872155Z", + "start_time": "2020-01-20T20:45:52.219528Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "grid = 300\n", + "xvec = np.linspace(-5,5, grid)\n", + "Wp = wigner(Qobj(psi), xvec, xvec)\n", + "wmap = wigner_cmap(Wp)\n", + "sc1 = np.max(Wp)\n", + "nrm = mpl.colors.Normalize(-sc1, sc1)\n", + "fig, axes = plt.subplots(1, 1, figsize=(5, 4))\n", + "plt1 = axes.contourf(xvec, xvec, Wp, 60, cmap=cm.RdBu, norm=nrm)\n", + "axes.contour(xvec, xvec, Wp, 60, cmap=cm.RdBu, norm=nrm)\n", + "axes.set_title(\"Wigner function of the heralded state\");\n", + "cb1 = fig.colorbar(plt1, ax=axes)\n", + "fig.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "and a cut of the Wigner function along $p=0$." + ] + }, + { + "cell_type": "code", + "execution_count": 209, + "metadata": { + "ExecuteTime": { + "end_time": "2020-01-20T20:45:56.313743Z", + "start_time": "2020-01-20T20:45:55.791153Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(xvec, Wp[grid//2,:])\n", + "plt.title(r\"$W(x,0)$\")\n", + "plt.xlabel(r\"q\")\n", + "plt.show()" + ] + } + ], + "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": "3.6.8" + }, + "toc": { + "base_numbering": 1, + "nav_menu": {}, + "number_sections": true, + "sideBar": true, + "skip_h1_title": false, + "title_cell": "Table of Contents", + "title_sidebar": "Contents", + "toc_cell": false, + "toc_position": {}, + "toc_section_display": true, + "toc_window_display": false + }, + "varInspector": { + "cols": { + "lenName": 16, + "lenType": 16, + "lenVar": 40 + }, + "kernels_config": { + "python": { + "delete_cmd_postfix": "", + "delete_cmd_prefix": "del ", + "library": "var_list.py", + "varRefreshCmd": "print(var_dic_list())" + }, + "r": { + "delete_cmd_postfix": ") ", + "delete_cmd_prefix": "rm(", + "library": "var_list.r", + "varRefreshCmd": "cat(var_dic_list()) " + } + }, + "types_to_exclude": [ + "module", + "function", + "builtin_function_or_method", + "instance", + "_Feature" + ], + "window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From f5edb9c0488f54be5748f7ace29550a08a713022 Mon Sep 17 00:00:00 2001 From: Nicolas Quesada Date: Mon, 20 Jan 2020 16:26:48 -0500 Subject: [PATCH 2/4] Updates acknowledgements and gallery files --- .github/ACKNOWLEDGMENTS.md | 4 ++ docs/gallery/cubic_circuit.svg | 122 +++++++++++++-------------------- docs/gallery/gallery.rst | 5 ++ docs/gallery/gkp.ipynb | 55 +++++++++------ docs/gallery/gkp.png | Bin 0 -> 41122 bytes docs/gallery/gkp_circuit.svg | 91 ++++++++++++++++++++++++ 6 files changed, 183 insertions(+), 94 deletions(-) create mode 100644 docs/gallery/gkp.png create mode 100644 docs/gallery/gkp_circuit.svg diff --git a/.github/ACKNOWLEDGMENTS.md b/.github/ACKNOWLEDGMENTS.md index 4b280f8e1..67a5ec847 100644 --- a/.github/ACKNOWLEDGMENTS.md +++ b/.github/ACKNOWLEDGMENTS.md @@ -29,3 +29,7 @@ * [Guillaume Thekkadath](https://www2.physics.ox.ac.uk/contacts/people/thekkadath) (University of Oxford) - :smiley_cat: Master cat herder * [Trevor Vincent](https://github.com/trevor-vincent) (Xanadu) - :apple: master of gravitation + +* [Ilan Tzitrin](https://github.com/ilan-tz) (organization) emoji title + +* [J. Eli Bourassa](https://github.com/elib20) (organization) emoji title diff --git a/docs/gallery/cubic_circuit.svg b/docs/gallery/cubic_circuit.svg index 186f90057..ab5db2665 100644 --- a/docs/gallery/cubic_circuit.svg +++ b/docs/gallery/cubic_circuit.svg @@ -1,5 +1,5 @@ - + @@ -9,9 +9,6 @@ - - - @@ -26,92 +23,69 @@ - - - - - - - - - - - + - - - - - - - - - - + + + + + + + - + - - - - - - - - + - - - - - + + + + + + - + - - - - - - - + + + + + + - + - + - - - - - - - - - + + + + + + + - + - - - - - + + + + + + + - + - - - - - - - - - + + + + + + diff --git a/docs/gallery/gallery.rst b/docs/gallery/gallery.rst index 741cd8eb7..fdff71212 100644 --- a/docs/gallery/gallery.rst +++ b/docs/gallery/gallery.rst @@ -94,6 +94,11 @@ If you develop a new circuit and measurement scheme to prepare a non-Gaussian st :description: :doc:`Four-headed cat states ` :figure: gallery/four_cat.png +.. customgalleryitem:: + :tooltip: GKP states + :description: :doc:`GKP states ` + :figure: gallery/gkp.png + .. raw:: html
diff --git a/docs/gallery/gkp.ipynb b/docs/gallery/gkp.ipynb index be5e4a769..6b4cea6ca 100644 --- a/docs/gallery/gkp.ipynb +++ b/docs/gallery/gkp.ipynb @@ -16,7 +16,7 @@ } }, "source": [ - "Ilan Tzitrin and J. Eli Bourassa\n", + "Authors: Ilan Tzitrin and J. Eli Bourassa\n", "\n", "In this tutorial, we numerically simulate the preparation of an approximate Gottesman-Kitaev-Preskill (GKP) state using an optical circuit. The state we target is\n", "\n", @@ -24,12 +24,12 @@ "\n", "which has 96.9% fidelity to the normalizable GKP state $\\left|0_\\Delta\\right>$ for $\\Delta = 10 \\text{ dB}$. \n", "\n", - "For more on GKP states, including the notation and terminology, see \"Towards practical qubit computation using approximate error-correcting grid states\" (arXiv:1910.03673) by I. Tzitrin, J. E. Bourassa, N. C. Menicucci, and K. K Sabapathy." + "For more on GKP states, including the notation and terminology, see \"Towards practical qubit computation using approximate error-correcting grid states\" [arXiv:1910.03673](https://arxiv.org/abs/1910.03673) by I. Tzitrin, J. E. Bourassa, N. C. Menicucci, and K. K Sabapathy." ] }, { "cell_type": "code", - "execution_count": 129, + "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-01-20T19:49:01.369843Z", @@ -66,7 +66,7 @@ }, { "cell_type": "code", - "execution_count": 190, + "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-01-20T20:11:02.845377Z", @@ -94,7 +94,7 @@ }, { "cell_type": "code", - "execution_count": 204, + "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2020-01-20T20:45:42.013639Z", @@ -123,7 +123,7 @@ }, { "cell_type": "code", - "execution_count": 185, + "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2020-01-20T20:08:40.384809Z", @@ -138,10 +138,18 @@ "filepdf = file[0:-3]+\"pdf\"\n", "filepdf = filepdf.replace(\"circuit_tex/\",\"\")\n", "filecrop = filepdf.replace(\".pdf\",\"-crop.pdf\")\n", - "name = \"cubic_circuit.svg\"\n", - "# !pdflatex $file > /dev/null 2>&1\n", - "# !pdfcrop $filepdf > /dev/null 2>&1\n", - "# !pdf2svg $filecrop $name" + "name = \"gkp_circuit.svg\"\n", + "!pdflatex $file > /dev/null 2>&1\n", + "!pdfcrop $filepdf > /dev/null 2>&1\n", + "!pdf2svg $filecrop $name" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here is a graphical representation of the circuit. It is always assumed that the input is vacuum in all the modes.
\n", + "![img](./gkp_circuit.svg)" ] }, { @@ -153,7 +161,7 @@ }, { "cell_type": "code", - "execution_count": 205, + "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2020-01-20T20:45:44.912712Z", @@ -189,7 +197,7 @@ }, { "cell_type": "code", - "execution_count": 206, + "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2020-01-20T20:45:46.916980Z", @@ -222,7 +230,7 @@ }, { "cell_type": "code", - "execution_count": 207, + "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2020-01-20T20:45:49.472496Z", @@ -232,7 +240,7 @@ "outputs": [ { "data": { - "image/png": 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rgA9U1VULtp8K/Hfg54BvAK+rqsPdtncAlwIPAb9aVTcOMWdJI+5A1XtQJFkB7ATOB+aAfUlmqurOsW6XAvdX1U8m2QK8B3hdkg3AFuBFwN8FPpXkzKp6qO95S09E7rR1MgxxRLEROFhVhwCS7AE2A+NBsRn4t93y9cB/TpKufU9VPQB8NcnB7v3+zwDzlqRePVmCP1XVb4HkEmBTVf1yt/4vgJdW1baxPl/p+sx16/cAL2UUHjdX1Ye79g8Cn6iq6xfUuAy4rFv9KeDAY5zu6cBfPcaxj5U1f7hqnqy61rTm4/X8qpqatGGII4pMaFuYTifqs5ixVNUuYNfSp7ZgEslsVU0/3vex5lO35smqa01r9mmI22PngDVj66uBoyfqk+QU4NnAfYscK0nq0RBBsQ9Yn2RdkpWMLk7PLOgzA2ztli8BPlOjc2IzwJYkpyZZB6wHvjjAnCVJnd5PPVXVsSTbgBsZ3R67u6r2J9kBzFbVDPBB4EPdxer7GIUJXb/rGF34Pga8pec7nh736StrPuVrnqy61rRmb3q/mC1JenLzER6SpCaDQpLUZFB0kmxKciDJwSTbB6i3Jslnk9yVZH+St/Zdc6z2iiS3JfnDgeo9J8n1Sf6k+3n/wQA139b9vX4lye8leVoPNXYn+Xr3PaCH256b5KYkd3d/njZAzWu6v9svJ/n9JM9Zzponqju27deTVJLTh6iZ5F91/1b3J7m675pJzkpyc5Lbk8wm2bjMNSfuC/r+LC1JVT3lX4wust8DvABYCXwJ2NBzzZ8AfrZb/lvAn/Zdc6z25cC1wB8OVO93gV/ullcCz+m53irgq8CPdevXAW/soc45wM8CXxlruxrY3i1vB94zQM1XA6d0y+9Z7ponqtu1r2F0o8qfAacP8LP+I+BTwKnd+vMGqPlJ4IJu+ReBzy1zzYn7gr4/S0t5eUQx8v3HjFTVg8DDjxnpTVXdW1W3dst/DdzFaAfXqySrgQuBD/Rdq6v3LEb/+D4IUFUPVtX/HaD0KcCPdd/LeTo9fP+mqv4Xo7v0xm1mFIx0f17cd82q+mRVHetWb2b0faNldYKfFeDfA/+GCV+E7anmm4GravRYH6rq6wPULOBZ3fKzWebPUmNf0OtnaSkMipFVwJGx9TkG2Gk/LMla4GzgCwOU+21G/7C/N0AtGB2lzQP/rTvd9YEkz+izYFX9OfBbwNeAe4FvVtUn+6w55m9X1b3dPO4FnjdQ3Yf9S+ATQxRKchHw51X1pSHqdc4EXpnkC0k+n+QlA9T8NeCaJEcYfa7e0VehBfuCk/1Z+j6DYmRRjwrppXDyTOAG4Neq6ls91/ol4OtVdUufdRY4hdGh/H+pqrOB/8foMLo33bnczcA6Rk8dfkaSN/RZ84kgyRWMvm/0kQFqPR24Ariy71oLnAKcBrwM+NfAdd0DRPv0ZuBtVbUGeBvd0fFyG3JfsFQGxchJeVRIkh9l9MH4SFV9rO96wMuBi5IcZnR67dwkH+655hwwV1UPHy1dzyg4+nQe8NWqmq+q7wIfA36+55oP+8skPwHQ/bmsp0ZOJMlW4JeAf17dSe2evZBREH+p+zytBm5N8nd6rjsHfKxGvsjoyHhZL6JPsJXRZwjgo4xOVS+rE+wLTspnaRKDYmQxjxlZVt3/BX0QuKuq3ttnrYdV1TuqanVVrWX0M36mqnr9P+2q+gvgSJKf6ppexSMfMd+HrwEvS/L07u/5VYzO+w5h/HE0W4H/2XfBjH4x2NuBi6rq233XA6iqO6rqeVW1tvs8zTG6IPsXPZf+A+BcgCRnMro5ou+nrB4FfqFbPhe4eznfvLEvGPyzdEIn6yr6E+3F6G6GP2V099MVA9R7BaPTW18Gbu9evzjgz/sPGe6up7OA2e5n/QPgtAFqvgv4E+ArwIfo7pJZ5hq/x+gayHcZ7SgvBX4c+DSjncmngecOUPMgo2tsD3+O3jfEz7pg+2GW/66nST/rSuDD3X/XW4FzB6j5CuAWRndDfgH4uWWuOXFf0PdnaSkvH+EhSWry1JMkqcmgkCQ1GRSSpCaDQpLUZFBIkpoMCklSk0EhSWoyKKSBJPn5JO862fOQlsov3EmSmjyikAaS5KNJXnGy5yEtlUEhDedngDtO9iSkpTIopAF0v7P7R6vqmyd7LtJSGRTSMF5E/49Xl3phUEjDeDGjx0hLTzoGhTQMg0JPWt4eK0lq8ohCktRkUEiSmgwKSVKTQSFJajIoJElNBoUkqcmgkCQ1/X+XPdihk3nUowAAAABJRU5ErkJggg==\n", + "image/png": 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" ] @@ -261,7 +269,7 @@ }, { "cell_type": "code", - "execution_count": 208, + "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2020-01-20T20:45:53.872155Z", @@ -271,7 +279,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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A+vYL6ipzAXNVodkaj70JqCQD0XTdV2xfU95ZV1y3Xzc6alygxLYW7XUeXIW6ChXXQ+8GnhvjurpofLtKfC7E96OYzaU2jt+J9Fcu0d7kVdn0uCsgbwQ+VkQ+SkRmmBHs1eUBIvKxxc/PBt4Wv78aeJGIHIjIR2HZwn/9IpW5qzhczf/dOWLGm7CZtpqphGZimlj4mU5dZcWMYJNrqrolrlKIixXWaHerhgVdySew1vrfbz/HTS41XqsEkb+4iN0wUgsBdX6SQrlMSe/D1arV7RVVbUXkpVgKIw/8sKq+RUS+GXiTqr4aeKmIvABz632YSCfE434cS4vUAl85ka15K7mrAPdOkzRrlk3uYV6ua6CbQXbS+FUA6wVVrxJQSq5SBByrDZCr+DzB6IiparlIJ7iVYBzphvM0pCyk/Bzx/7sclPZyNURVX4MlUi23fVPx/WVrzv0WLF/gTmQPuJckvVfCBlTC4EQ3ocXuDmAnJQLKWJvNbRiBrkX3soPH+LPOMJO021VgDGxGvWwj+WLnL7U0oF0pMvcOFBFHdXj9sqtxy2QPuJckW60mSyckK7ptKLbfWlnnBrXKaDRFJ6yDtnXa7SZBfLJpSFy2uufrRvogf06WcEGJBrS9lruXdbIH3EuQrBl2W/pKZh5ytZR87kDrhMxbngdwDHQ71PduUCWtMKiDTi9eWIdDU9qtEN3AVNd6cCjmBiUxtu7S/tRvrt/vVriJnVf2Wu5eNpE94F6C9Fzkbl7M5FsbItUw5fZDse28YCPopKFMJlRcWeE2pqroyDAmE9rtpmALZGf7M32sU0QyAXUeVTtvyl/1XLLXcvdyhuwB9zbLubXbCVFAxRuASc+ZTi5bTppdBJugDn+O1UhJy03ljakD1T5s4yrMsVCMveEsUw2ldptAeIM6JsDd2J0p/pcySSR/1Ytm1BBANFzF1VZ3jIjzWy18uNNkD7i3WXah3ZZAm34nkJ2azZZAFtQ0VZdWmY1PyKENtT95ACBDZ//x5YxqmF5lBrbUNzHRK92/Mme7AdjG600NMmX9Rsz3wHFfUnt8ZeEhLxBbNgHuKpe4vTyxZWdDsYh4EXmziPzMrsq8G0VELGXLOc41oBULUBI5WnNwt882WHCYAIO/caSuHF1KpqJL6RCEy6XETINkoi4Sd3tWJLHsYK/971KMcb3YFD9p2tZHNkhorJsy7Jf+z65Z9u+2MqWt72UvSXap4b4MeCtw3w7LvKtk43gJE1IahtIy5aTBGa/aa7tacJmZs4zHpeDeKS7B0mKAVLcUvjAbgZYXK5TGsTGVMADTqM6WdVFVOrD6AOL6+AoiYqPIOaWsy2TqpJLLjf3iECRe32gXSyp6Ltol+i3vjWd7GctONFwRuR9bEveDuyjvbhXj+LbX3CxzbAyYHpQuarRdobF1aXsolmpmQLbzygDeCfTGLlR2ka6PtDBa7pqm8KmgFFc4T+2JgJe0x6A5wWRQaLv4PR6ftF3KzwsAVQm2Q/e14Z8tC+8BWekTWeb+4pzhDuOMYK/k7mUsu9Jwvxv4e8C9qw4QkS8DvgzgGc94xqrD7lrJxrIt1+urCEH6NN0JUBJYhdBraTBcWKBJc4sVCNETIGmSVv5U2po1EFNo0lmjLTTtBLak331lMoh3QfFOCPR5zFLgcYmq8MbpdCarOOR0M10wEejIkfojeheAabqkVXF95K1NSQbh7GXPe5kWcW6rFDt3mlxYwxWRzwHer6q/se44VX2Fqj5XVZ/7lKfcUankdyKJTtjGlKLizK+TIlhPfIPbzjTaTnWgIaYg35mr1D7od+Jux14EyzUauQsUEqRPKW/AljRDpSvAtkv1CMVfce0yoJAdx4AWma7XBn0GGbxTv/Xfta9X1oLTb+LMQQd91gf29lt5H9wV+cX2snPZBaXw6cDnisg7sdBmnykiP7qDcu862TQrgwJBXHTf6imEBBxjoM2GsgIgErSH4piB1T7TshM1iqlaLAymo1xIIVFDTiCbqIFOe0+JLtY5T8+Lv1R3a4eBdE9F6BB8NwK4IUiXBrvEMad6lgCe+iZtz2AcrI5ln+U+dd7uyya1mtCo97KXCwOuqn69qt6vqs/CQp/9O1X9Gxeu2V0mKebAWaLE6XQE2xCgLbXVUHKUBliJG01aY9uNvBIoF0Msc6fDgOTxu6v6wDjp3KjdhkK7tTpp1mxbLTXXXtPtyu0j0E3a70DLVd0M3CYwbawhD7JOZI62p2jG6YDa2M/WhoLXVbXBaCPQ1VXV28sTWPZ+uLdBtvK9nQBbFznJrtRytdfgkqTptDDiDqU3kEk8plx5puLwOdWMsBSzIQF0/MyAH49IQNoW1EUXB4O+/ZBCYHsRAzSnVM7RYQ+ibTLvBYLgnWUGWecpoPTLdfNgUnDIg2Mj5ZGWAEu8I6qaM0mk6Lidal+HyPU6IKA459EgsMa9b8/jnk/Eear9wofNRFVfB7xul2XeDTJ2tl8lKpJphGQMG4NtyHyjLmuqqRxsSuuKJbTpXEHQiMhpCDCwkX5AGMVsUCi8JCKFkLRS7XnPUGiFCWyVaPsaLHfVDLpCsDY6c08LQfA+AWF0XVthQMuzgYntk98Lzrjc4CgGLycxRsQQdFPfQQJdZ8C+hiYSXeEFspcnrOzXIN4GSYsd1okiA4NU5mB1GmxhyOMul0cuq6wH9JpgedzaFNviMnebj0+0QjypNIB1xbb+HJaoBpFlLTnk8hMtopPc6WAQKMB9nayK3RvoteEu9G5ruT0jeqEH5/X0grDncfcylD2lsKWUhifonflXSd61Zl5p4DF0/cpeBmEabDe1gY/5zL46PcUQFHPTmsj2agOBIy22KL0fBkYpTa5i5Hbk69C7xQWNCwugBy+XKADTcrsgVL5fSSdxGh/UZR5ci8Fj3K7zSBrgHIXb2oSm26ktHoGeXrBRYuKO7LmEvYxkr+FuIYmbzIDD2VpVz9+uKJOhppauAQxcrs4DtrBMY5QAnEDTrhXLLvJ8qbjBQGDtkUwrKOVnryWmawTtvQNSO/pr91rusJyeV03106LtKjJY1pzbo/31V7W/pFhWSdZsR5rulCEtDzjOr6AOdKkOe3liy17D3VBC8UKnl9/RO+uv1XLX+GRqnK6nF7y33g+NUxkYN6xv0ihXve2JH03aZ9I4UzSx8sCBq9kEqA00/mJVbu/rauV2qlQRYUvqtRwELDDOUBNOTVgX8jCBdbngYZxZWGJDzfi1WlKAnaTpqsTU7vSzgdxvasZAFR9jZAwruS7N/F6WRUSoD2aXXY1bJnsNdwMZOs8Pt5/F0a1zB1MMcEvNsORKe21vNf84eU0SGKxfRpy19FGbBpmQzwEUF9XoVmnhk8dqPxjqqI9SPXJieDGwLLetkvHS41LjHvfbYHHExPX3Gu7lioi8UER+T0TeLiJfN7H/q0Tkd0Xk/xGR/1tEnjnaf5+IPCAi33vRuuwB9wwZ85TbyLrVZSWVMJiellzp6MXe5PIOciBv7yZizo7alhYbbEs39q5YOihbC5XUkkVKrIfgi8okxW+qbtmzQnvQG167WEhRUDvj+yPS12EKdP0ZFIOq+QiPjWhT/daDbjUC3c07NrUrPQ97ubiIiAdeDnwW8Gzg80Xk2aPD3gw8V1U/AfhJ4DtG+/8h8Mu7qM+lAa4T+1sz6710GfCpZ0xnp0RgdbCaCAQlmE4FgrFrr3/7kudsArQEKiXYZo13VJnSu+CslzzRFDnHWAGsRkfYvhI4XfmZ6ke6/5KBNwH4VLyD/vsQZMvAPavq7qR/yH0EXpf6J9bFF4A86JtRfcoZSJrdlJdNA8SQL9kMOQf2ATa7H5ctIv177J0NrO7qvczPA96uqu9Q1QW2GvbzygNU9RdV9Tj+fANwf9onIn8a+HDg53dRmUsD3DTNFoxLTDfrqnjRbAq268TydE37j2YXMIbabfl9ZbkMQTZPndODL+BluN+VGuZItgHdBNo+DhhV0l4d2X811UWSdhk/03ZIAAzOJaC2eg80Zhm6so2jo5Wr6dZJrm+uW+wjNxyYEvBK8TdoO71mm/qipDwy9VC4imUu/QwZLHcujKPnffZulaTBMg1YYDYKCS3StbgU1vP2yVNE5E3F35eN9j8deHfx+4G4bZV8KfCzACLigO8EvmZXlb0Uo5lgCfcoHtS8wkkkW64vc4RP2sxkPNUNJHsnTDZCBgae8bXG+cBcjBVbmLKycSmBSQKyMpGiyyC33qgHvWGrYAQm2+SxbA7e2RJiJxbI29ynIngmY6IuG9QSKCftthppy6ktS9o5578fQl+eS6vLYh9XMW9acImvFQbxhU1tzWWl/kk0Q2lAK/sxudht8hBPUUbZHa4wIF62pEFUVQ1gz7ARnEfECQdH9TanPKiqz93JtUX+BvBc4Plx01cAr1HVB3blT30lvBQEQBWhM/5KPOLstb2MET4Zrc6ayieZuhXrDCYhBqdOpY+X55afUPitFmVKBqYhwAr20CaL/Lbdl0I4ltcuwSfNSzpVZk5oglI7oQlQOVv04BQaNe01+RGn6WfStgEqB865gcaUNF5VjVp03yEZ7DZsSwLaqZfFZhMGZh0ROFVRAdHi+NFgpfQeC4kKse/9capphZxsXNmpNEEG6lcDdPOA3rVsFr7nysh7gDIe7P1x20BE5AXANwDPV9V53PypwJ8Xka8A7gFmInJDVZcMb5vKlQDcUoz37NAQwFUIt5fLKqmEi1x3VezbMaAm3m8y8eOgvJ4PzVpG5tAkZm9IZUZYdD1QbjJwjbXbXGSMBavicc68LjSYu5RXbIFALL8NBhAVEXwL0qqcqqd6G4dqdawKXnVKKy9zqW0iOetvsS0BtorF462c4OKg0GJauR8NcEv9VGjAyU1ssD8eY65i7eC6k+WtaYMN/pu5H94qyTTQBXK9XaK8EfhYEfkoDGhfBLy4PEBEPgn4fuCFqvr+tF1Vv6A45iWYYe3cYAtXEHCT2Evd4ZxfmZDwVshFeVsoQGvK/zb63ZZ0QvlZlpEAsOc0I4CUIBtf/oGxKr4hIZAXHmySultG323QaDMt4rW1BRHO4wWaYHWxuA4GCM7FWLkIHs0+xKV2mwYKMHADIhdM1mqTMTVRSzbgRCPVBs+DiyBeUhTLmq7dh+CNqjhwLsetSPnN4Gzf56nU79lfd8MYuus4+9KP2d9m0E39toss05chqtqKyEuB12Ks3A+r6ltE5JuBN6nqq4H/GdNgfyI+I+9S1c+9FfW5soALRsYHdRuBxS5kU20zyTquc5UPrBYUQH/d/rewPK3X+NtLD6bJIyBrthpD0ajBtIrDe7HoW8EogE36MV13wEEP6qc4BXXVQLvNsXEZDh4jCjRvS/WWOHhMUQqpP0QSp5n6Zn07MuUyKk+6Rb8qA0NhF+kr72NcCGfAbqv87HpeyowU0xTF+J5ZO9UG2HUdvqFcFugm2uR20QgiUB/4sw/cQlT1NcBrRtu+qfj+gg3K+BHgRy5al6sNuJDTTt9qGVAJOyhvyqCQjDLryk+GqVKckzw99tEjAEBCZ7SFlqVK3wbxqK/s+A1At3TbylqN6rKmHkBlfVkpAwQw4B/TdNxCIrps+Ou1UaNiUrB2JRqgJK0AO1vLTeURyyN0uK7pezVRPSJmNwhiwOgqnIvAGwezBLylIbOcdaSqJMNmCYRTdMNkX515xLC8MfVzq6R8DvayG7nSgAsGXHF+eEuv0xuwtjipeLEHm0WQFdHBynitK4tNnJkMaYS8SqprQQ2UCF0ERC20S0FcZdpaGwjVDO8w3pVI10xcM2nS+buGHmwTSDmPoLGMQgsngmwYgm32Kohuf4GCI9U+VQ+YNpqv23cxLrQZdFXP1nIlccOpvAS2oYWl4DxGf+A8EjrUOcTXOG9ZLFTMk0IBp9vDXB5gzjhmU5nKS3fLJM/U7igj2ZWWKw+4PYTsRvOcvIKuN5KcJeWD3/O3U6UV2ufg/OGAMnC/oec3XWihaw3MwwhwjThFcOArCA2qwcCja9BqhhOlDdOGp54nLg1+SUXtYwRo/E/jS5/8UlPIRVCauL0p3Ny6LmQf4TbQA7AONeAcdyJRGYkbDh3qK+OI1wwcJXcrIkgbwbZr+kGwnecOMLB1oBZqUXJ/9JUAACAASURBVLSCEBDnwdc4Jzk8pjJMU5Rv9cSdThISCb0jSUa0nGL+FoKuafK7d/16IsuVB9zE290qxL2IV8Lkg5i0w8l9y2eUvKQdMgRa52xKLG1jIBja/JlBNwId4mK22848PLxpteIqQgh58cOYWig5z37ACEV/D6mWpOjZqq/03Rz2F9Ho1HYhgyn07QsimY7oYtQxH/VMo59jsPEMvETQVTSErL1OZVPIU2B6bbkfnOyTrrFju7ZvUXAxiJAD34HzoDVOA+prnPd0QWkzdTD0+igpjNshm/hM70Js4N0nw9ylXHnATXKrNFxlO0PZWWK883RZaRo9OD5ytiUDKyLZnUraRQTYxoCja4aACxmcVLy98zIKJu4qXLcgVAcGRKFPJ5NwIgPGYMAYzS5S7If4mVZFNZ3SdIEmGKXQqrLoehCGZOQL1N6hUWMXB06VkPxhtZ++D4A/pvwROlQq65uCk+770njWOmu3i0glNHFkbQxAQpNviNkI4kq4BPbOo14R9aZFO4/zNXWh7Sa/3fG9vF2SZmS3HudvL50gTpgd3DGwtLXcES0T9JZMbBIfCBehE6b42+20guQCBQWdEAKuW1hZXYOEBtoGSUAbPwfl0JiWW82QuJBPnEe7BeJnpuVJb5JTGBjjUj2G8G85z1J8ABVHwNGGFFmMglIwV7F5G1h0oV9+G9vlEyD60vAUEFz+7UWitqkGfoXBNBlRzbWuH6hKY1YVB6vMBSfOtl1YIaExoG1PexqFfkBR1xn/HTqoZnG2MbOBoZpRCYQwXK22SZzdXcttoxb29O1O5Y4A3FslSbs97/JdWDGlOydnV67mkUQddIu8Tp1uYZ8habkjY1n0SpB2gVYzUG9TaLEjpGvRysccXZG/BMarqfrGJXWzAFtf52hmbfoLGrVa5bQJnLYdiy7Qhj5WRHJhs3gINn13TnDa87hBoVWonUMlubkVdYHstZLqK/SubGUfujYuFgotlndMM+hKe2r7uibPDiRmtSC04AOoRf0SH4wLrw5w7Rz1Nd732YvHrmC3U26318JeLi5PWMBN2u0uB/De/3a7UoXCM6FrojGsNc22awqwjRpu10+RCZ1lG3AVeJAugJ9l8FARi2nQtWZAi8YnSbz4hKQWSFqBoObYH1xloNiZQaykEhadabanbcdJ09n+0AfhkehHnMIdJv9bJ+BCwIn5WxsAm9eAC8vRzZKWKzHZZtnTSyuisnbb9L6kjQGxZEBOs4QQgTkSwy7xyGa8M/CNa/wTzVDw4JclU0uLd3yFW1HoE1aeuICbPi/wPC3RCaPPpePJhGneNnD9ahd2TGiRromAG8G2XRit0LWmqUWg0BAQ5yAsQBWpagJaaLYYeAtAbSDs/MolsklrCq7KiS9VfPZKaCNN0GlvNGs6ZdEEThsD23kE4XnbL0oFZeYKQ10GXKMTXKIWYsVmfjrHGtAviCl41NyHyYsjtTsNgKExHE19A9DG/ixBpZ7RDzkhAq3t6vP2Ru7ZVxuv4Ev9PXVoGQ9jW7ldBrTbJZbx4e6FpTuiZbvmb8/SbtOLkbjBHBRmohrLYLDmxVHNPrXlCyKRk01gm7XbUIBt19j2xSmg6OKUmFzMptgHh9A1aFUbdRDXzEroDCh8hYbWnPu7huDrlWARkutYDpBuINuDrRnD2hAs11fkbsu/01bpQk8rVJJgNWSu2AvUzkI8dpCz5wbpg+IY8Cfts+9zF1qjOiLtIdohIfT8ede7g2m8LxLS94CEgAYDW42O/VLV0CzAdYN7qcW9Nw8NMYNfp2v7MT8Tkgbn6bggFzUIp2f11mi5t8pc/cSUOwJwdy3rtNuxT275vXyWpynP1Qse0jkudATXG65cilWQ/iJfK9GFKdMIGWxBT24OKyyKNgsDjK4FX8UpdUAlRKMjVoYzOsFpsNxlE52QeFcbIPoXOmm4bYgeCtFo1rSBpjND2aILGWxP2954GAQ67aByVoYzf9wmKFWMyeAIOLE6Od+DrjqPqhsAb/LOkPJm5kUavZabfJWtP4oVbNGdTrs2L/fVxdz47Arr69lhBMomxkqQDOC2ZDfkwcs7mUwHlLnmYO5mU77DF5XsacL0c7mXqyN3TIqdXT2kZ2q39ACTAr+kQNPrpHdjOus4xQUL1OzDaOlsN7ffIRrGusLntpkDmsFWuxZtG4uqtvKaZdltBh1Q435HblVlEzRTBr3hq4n8axdC9EzQ3E+JYkg1mccUt8mwFqJxLQSl7ZL2O/RkyMAezxOR6NMbNU3nc1bhyQrH9uUobdkzoRu7FK8WVbSNxrR2kXlyo3aa3ve5i1ywGugS/ZzH/Wmcs5qxT5c56XzcGtW0HI9XHgOTgH9h2SP4TuXKA+7OtQESZzaxT4cv/bgOg3OSgUyGvzeR3iWqKDT5jGa/25CBl84s7bqIoNu1Wa0RF6fVCYT88qTFtNu0kCBa5dEl97USZNP0HnptNgHguOzkopRWYkHfl0lSUO8AOZNBHthGmrRNz4Wu6/OVdaFIle78CHTjUWmBQ/yOhqXnR10MwxL7SSb6K2u+iWpIdE7MbNDfqx50zavEjk/ZS9JS7KRtO+3WAuuUNEFzn63LyJH7favSN5E94u5S7ghKYZP4A5tI0m5X7VsVvEZZdv9Z4m5XbD+zQgkoCL0BJ728GmMWdG127YIEEgW3Vs0Q72P84J57HdYmvZH90tnSiDduf7kQZAkcJ5oi6V/2NBsbB1Ns2tV8eK9Zx1RDYrF3c98rMYCN+Qa7xOtq0bZMK4RMq/SVjHUSZxpnVZtvc32ANnMGEoIF82vmtl8V6YxaQLyBbjUzHjjGbUbV4t+KrdkTDZnCSA2cium7iiVVhTLVu7A+Wli6R7vicsuIbbdLzGi222hhV0muvIabbveuRu6UqHEsadM2SxbGIOx0m7MZcI7pM0+H49RY43HadYC5S2XxFXJ0Hakq09jqGSlerX0OFutisKgD0M1Voe+bEgx6AFwGWtXkB9v/Je39IBrtaueoncOJUHuHOKH2ZiizyGcp59ny8BBUTdEPvaabtPB+ZVhBJaQadkUciDiomK3L+k59jWJBaqgPrGfqmfVhOWWJjVSIA6Atd87fy3sXRwujEIJpsyXYUri0MS3j7RZLuMhKHLev0nQ19stOtdxL9DO+G+Xqa7g7vN+rApmfxevm44rqTK0w28opcwIokiEITd81FW4ph6o6vlUzoxLAQMLX0c+qMkMYoBFIBhlkQ5eCDCz161jzL6f40L/sfaxayQsoKmdgWgflQBUloK3jqIrcLuaRUDlH5Ww1mZcedJ2AaIpdO+pT+nrkWL1EIBKHpzBSagGyCSjjGYlGEDHDF1Vt7ZDGBrHOlk0PUlQAuKgNpzqFFpX42rQNUtVo19g9SNarNSJx6fDYeKbpnuhw2/iJSgudV2m6u/TLvf367d0vVx5wlfP7KA7KWcFxraMSzpIefCOfu1UJoyl+ijmqofd0iECk3rwPJKUucM4WOkjUeBOnKc6+Jy04bhOwqXC+5jK4FjXK33utdzmTbuUMSYODygt1EGZOaMU+pYJF53AFAMwcVN5xUDkOK89B5ZhVzoDX9Rl+UzByVS3SBCWeOOrp0uOTlLWeCrYiAnhynARnK8UkuZZpQFxng5cqaJuW4iEpIFDWeHuqQh1AHQ1iode41yCdkPjswXi69PBlbXXi2U8U17DtJpvG4N1IFGS/km2ncvUBd0fBx7PuM4GJ4yy5Z8nu+Ft6kA5hoJHZRwQGb5SBWmXJUcGct2MSdZA+o3+qJrAdmumm2zTiycvMtaVWLxgItiH50SZwdgOQtlVi0d0qluUFZt5xEMH2oHI5pXvyyfXRLzfFdyilBBPVlDViRbsi/1uQyoA3yFaAwi2uDHMZOkQ9adl0X156DnvySXBodPcyztcxHgKmZMolL3HeSwrBxPnKek1W1WIsVBdUcYvarajJunPOJ87B0eGVh6Vzy6W0TIkal65f0qCjz3NfT6eNZefWbiVNAfvabxuwxi5anpMnrQagIdIIbkZfQwduBLbJiDOeCqd2SQQlKcFphaZbfPelBlW0M2nKMy8swFbERsVOq74Ovgs4XOyrxPGKAa13zLxQRz63dsLMS46XK8QsvvE9nwKhXKPkgLokMZLreMAWX/RFLDwmLc3xhTNfGwfBMutI+swPZyCF0dHUp2fhnAZU3VDLZbtnsI+htny5tG0DhuNMSc/5ugU9WXUQF5+PqyUi8kLgezAz6A+q6reN9n8G8N3AJwAvUtWfLPZ9B/DZWHf/AvAyvcCU+9KGEnWVaT5jS+5AbJq5i9CJq8rZVrsdntuXIRetY9bIPGiLVgfFOn+J8RIideCq4rsfgYqSPRDANK8E7Dnm46reLmB/ZMQq4/WmtDMzDwsiNuUquHxc5c33VtU0WCdiYFtFwPVGP8y8o/ZGJ1TCcMlu1miH+tbqfiSp2eQ1uWAcK9qD8AB0TcvV0MYVaCmMY9vTBXHAUz/yACl546TtbkArjPs79RlbKADKtFdCuvyuqABNYSsn6yC2kEf6vG9XSUTEAy8H/hLwAPBGEXm1qv5ucdi7gJcAXzM699OAT8eAGOD1wPOB1523PpcGuCnTa5oej5dvAoQVK6G2lXIKlrftgLsdfj9vPROSOXuxvUcCBgC+pwZSJLBsGEugm7VXq4MtnOiiWt9GLC5zlY/9V5M2pJNqlkjh0hWv450NDkF7f+agSie2r3aCVI6bTccsJmBTVQ4rh3cGtr2G63qPhXi+F7uw3bdEWYz7u6hg/kwa7cgVzMX4wP5gMHBpAZqCmldI9BTRuPBEk29v+WyKWff63hv253lohW013PIqqwxou3ARS9TNuEU2S3V5gEmeJFdQnge8XVXfASAirwQ+D8iAq6rvjPvGo4oCh8AMa34N/NFFKnOpZEl6mZzQL9+MwUrSy7ArOmGqnItot9klLNIL52KaxUGysmeDTReNXqa5ajKKuQpcbRG7xOUFAjaNjXXCMkQ4X/VO9sEyQPR8pvRKYOybVI3xS58C66QpfvoNpjg3QamcLWao1OIkBFU05gM7ist4ramCj14KLhnHBt4KMPNDcJB4XlDdLJ9Y9rONn0mrFW+GR+fppLJFBEXoyDSTcuLw9QynARfaDLop+HtJL2R2e5VD7Aa0QkoXOtBy2e6Zt/dn+WI9x30xycpKEUgoabWkfZeLtE8RkTcVv1+hqq8ofj8deHfx+wHgUzYpWFX/vYj8IvA+7NZ8r6q+9SKVvRLsdFBs+aNAiE7kGXB3cDOn6ISLZOgtXcIMws5RSjKSiCB40A6qGhtEY70kWtR9TZCKTi0kYqcpfU0f6lCie5UPUDmonMdVLkYgqww8liqRAzEOUu+UeCFYeQbewfyERRBxMRarpU0v33nz5bUgNqnbQ1Bq199XoQ/P6J0ZzEToI6al2vkKifFvJ1mbTIIWngTZV7kHW+tDZ/0Xs1IE7Rd4JE3eiQ0ilavxvsb7Fk0xLbQzI1nmdKXgzmUrsBSWvRXOIwkQx4HIM1DKxYOjZy03zhTSPbwVoSm9E+7dzmj2oKo+d/c1ARH5GODjgfvjpl8QkT+vqr9y3jKvBOACWduwB2Z3NzQ9eINtejHtdvki54JtQI0iCF3/O77EiiP4ChVPE5S2CxFsoQ0RcIuSHOCdw4sSvEFW7QT8zDJHjOEgZU7QYCulxKalXWHIHKZkb3vDSfQ6kGJQ7GJchDYoizZw0nQ5OHkq67jpOMLjncbYC6blQQS8LkZMK4KC2+oun0MhpuckJYvsJ7vp4fG5nRo5V42zgqazuL2pH7sQcrwMYh86Sf7CQuVg5iuqusK5GG0tRXUb3EqXKZCtnoDCGCeCeYkUt2lT28xKLZcd0QpFOen3JWu128h7gGcUv++P2zaRvwq8QVVvAIjIzwKfClwe4IrIM4B/Dnw4di9eoarfc97yEs2wC1lFJ1xEu02SNcAzLLirC4gwGX1Dc31EUFfR4WK+MAPaJkCTQE37mAOR7jTuM3QWXSsZrhTqSvryy9iyibMNISd1DAxdiZLmLKEbtDFpOSkYeRv6EI2nbeA4xsVdxIECzP+2TrEFAC+OzkkMXtNz0GgfYlHTYKAdrrOg30gfB9dpt8QrihRzDleBeILzGWwXMWh6B1kDL7Vc7wTfdXkxR6c2cNWuxsdptbmPNXng6XlxGXyc+QikQWJkEDwPlzup5a7gX88ju3wvb7O8EfhYEfkoDGhfBLx4w3PfBfwtEflWrAufj3kznFt2oeG2wFer6m+KyL3Ab4jIL4ysgJcmYzohK2mj41Qt9GDW7ty0VjD54J53uI+ga0DrMi9mGpjmTAopq0ITlEVr0be6UeaEmTd+1DS2Pk8YHeAqPB3ianICxWTyUc0hI8eZfJ1IHx1rUG+rcxs12qazUIwnTeDmvOPxRcNJaxkg0uDmJHDghTaEot5xBVoQ2g6c89krIJrA+lgFGpAAKgGbvhcuhWPlHWuzInSuipkp+gwVi9iXbQwtaYkhTYOr4uKMyimzoHRB6LwNDrUXaj/L/LgQB4XM64yA9ywZGcwuEoh8NZerK/c9EURVWxF5KfBabPrzw6r6FhH5ZuBNqvpqEfkzwKuAJwN/RUT+J1V9DvCTwGcCv4N18c+p6r+5SH0uDLiq+j6MVEZVHxeRt2JE9aUD7iSdMPqENCXuc4MJ9nsV6CbZ9hFOGmzP+gpaGDa6WI+mSGGzCCGmr1HmXWDepuy4BoIucqkzFzisHESgdRLwztsNFqJzfpfb12OUxrX/EMQvpWsv40PkgSFOz3NqnajZPn7a8uii5cai4+aiY952NDG8WO2Fg8qz6HyMOKZ4qalEqZxGDwULbVPSHyXomqeAm+j4RCn0g5cCoZrlXGmdGm9bpgNadNanKURkGgRmTphVnrZydECngc67TD/UziPe4xMvXtYnu5xt+EwU3iGbaLeZsh5dotRyy1lKJlx0q2rdVaKqrwFeM9r2TcX3N9LztOUxHfC3d1mXnXK4IvIs4JOA/zCx78uALwN4xjOeMd69c5miE9K28XEp7F+CFmXk+B8lvVzTKcXX1AWiU7jLBrdyIAjRiKOQNbFF1MQWnXISOdHTpmOepsQJIOiYVY7GCYqP02IfuV7Fd9YWcRUudEjpU5mBTGNQ8jYbgyR6NsigDbbQYpHraIB10gQei2D7yEnLY/OGG/OW43mXOdzKCUcHnnsPKrpghkHvHN6llWbG7Tpfm85f0B9j0IUVoFZomMlfNlEeTUjJLmER6zzv7K/p+njHLnpNHHZK0zm64AiVi/uTZd7aI76OmnekNrZEtEH70vc1VrSsGIitChwrBEmTLcF1l7TC7RAnwj2H9WVX45bJzgBXRO4B/jXwd1X1sfH+6KrxCoBP/uRPvi100JR3gkRrfK5XOm4JiKORYMVTOl4YsE6Sv6JGf8X+Gr1BIkQOtJz2nnbKycI40eOm4yRqjCkQeKpDq0QfV9MW607zsts+rm3Ua6O/b9ZyixgAUyney8FCtRwQlHnbcdopNxYdj88NbB8+aXj4eM5jJy0nixHgzj3zwy4PFpUItSPGUgjRB1eoU5jJJdBNCwtGoJsWOSRuPvoutyHFkcWMjmE0ULQdp21vjEzXqZzQdB1N8HTq431KLnz9YgpFqMQh3tlgdg6WU6InwVkyUAziQDiehSUtd+yZMF4VuZfLk50ArojUGNj+S1X9qV2UeVGZohPCaJsWBpOpVyWoJiY0y/ixPeslU8xoNY7Gr2rGuxTUuxuB7TyC7c2m47hpOW6MJ11EXjRBaBlBK/m0zjqh9p42BGr1eVrtnO/DCeaKJMAdglgJtNYXBrZJW1x0gXmnHM8NbB9bdDw6b3j45pwPHjc8dtJwsmhZtD2lcG1W5ewNPnKis8pRVy7mNovUQm3RtKxaZTQ1HWq6ynAKH2clwVUZoNJfyG2wPkz0zGnbc+SpHw1w7b6U90xwOEmLamP3iRnV1Jvbnp9IerlOJFIhqA403bEkxaA0+DqmQXfsmWAMTmSp97h7qbILLwUBfgh4q6p+18WrtBuZDDc4QTGMNd68j9Xc1yA04xojh738pnlNgS3YlNcMZBF049+8MQ3MtFubAp+23cAQBabZnrbJcBboQtTs4gvWBSU48ygIzuOLCFkw0hyLeneuyivMUraFxIUmumPeKjebjhuRt33spOXRk4ZHjxc8etJysmjzgOYiFRFQvINZ5Tn0nmt1x7XGgtlUXcCLwzll5ip8iKA7ymVmyR9lWtvFFjGk5JVpsAna52NL9MLAINmF7BJn3gn9PTbTpi3ccE6RaJQEA9smKJWaS+6qTMOrH5LVz09JL0wtS88UAr0ikLaNL7GLRRB7ubjsQsP9dOALgd8Rkd+K2/6HSFRfimQ/23L6zpA6WOUyVsqqdChS7Jd1BbAcC6IE2y6kDLhWlzYaPZoOTltLO34ap72nrbla5RVmaprNaRu4PnN00efV2qQZZJLGU67cG/C4eWveC2IrwUJ090rAlYxOrSYXsI6TqCUeLzqO5y035i035y3H85a26XLRKSS4d3BQOa7NWo4PW44bx3HTca12HDihVRuEbEVyje+afgl4BLLUEi046F679Wjsh5Rnzb7r4HsbeXAD38C87fI9bbuOgxiIx2YO0XOhDTjnMJY7JrxELSwlig8xRnDiyzeiGHrNOvO44yN0eJfKM9NKLym13Cnj2QTVcBXFO+GefZr01aKqr+eK8fE6+kzfB3QC09ztuAw4q3GrX6qs3aYjJ8DW3NF6t6/eYBbdl+LvpgvZFStbqtXAIL10mtvJ4Jp922XJWyG1T2NTVMxbAe3B1nKa9ZSHuYLBvNU+U2/TZspj3iohnhwihSAOQheYN4HTSI+cNh2njYHdvPUcVo66C3TO5zxeUtW4rskLNDQmwRx6WvR3SkR6rjMCbxpYNQ1COjwv8czmUaHUXph3xim3DhYB5m1g5jpqZ14KKceYU8m+umlgcmL3fitN9wxZ5TJmwd2Xtdyp2VkZxH0vlyN3QIqd88mYq9UR8IWg5/J5XNJ6VxSRAH1AJRTb0vcEaukveRe0cdFAG3qD2pgHHnhQCIX2t1y1BAZLYQbL46IbRooIFqKRrw29Fp7KyZl7g+Y6qib/YI00ShwIkoYWB4uUsqfM+NvGCGQdREC37L6qEHzd1zsuftClekdjWaHN5u3TtyiLi/ci3drSONWGEBd29L67be6TpEVrBvcE6hC55DOubcCoaWLRu4lNyKqykjG21ITHqXbSrO8cj/xedih3JeBOaa3jB3B3uZ9WlBIBYgDyGWiGL2nmGWP+rtLQMyiy+PPOAtXkoN0iVDF3mItTRymunTXdFAMg+azmku3TvBH6a+fU6GU9lUH23pzPTITKm1+weHOB85UYRorg4r7K9d62xaR3oH2WA5CIFGEohZTJYqijkz0pYFqTzYstXB8wJ60oA3LkspLv7AcYLVLD994f6X6m/kgzmAS6WoaIXCMy+r6NHhqYAtjhc6mjz71cjtx1gDs1kvdT6v6YbWN3linRN3khQgSuUsoElilleNqWptAJjNN10itykEAhWvVTGMTauxxPti6CeC8ZTij6Jjckgm6xtFhTfZKWCIN6phYlrTCFVqwrowQOa89h7TioHb62ZbjOCb5y1LWL+zwHtWNWeQM4yIkkYchZhqg1hxTcWnr3trGhL9XR+nZ4f82jowfbOvVZHLCu1T6DrWBpg2whRk9daO6XqMnCgBsOo2cv9eeZWm7xnGybRj23X3XJZrHsGbOH28uWu5adLh+tMALbTRJGnilx+jf1ekxpEyXol/tDCIYhgxCukv+8OGbOLPHXXM85p4y3M+84rBxHtWVSOMyAnLTOEViEuIQ2KGbdL4KSp4UZ0bk+FE72RbPNh9ZbvWpv177eeeaHlbmthZC13RRLwTnhqHbcc1hxz0HF9YMq1/mg8lTO0u0kTE1aubgIYEIMixj6AwojX+nOlr6kgTU5zknUaGfOluvmwQ9onWaLf38fyEumc90oZgza96uIlecK41TiUFV8n6du8lFSVrmGLfPU06IMFz2k32O56jyuk62jhd1Rcte1bEqbTduTnDeH2dRjusqPYeydsLzqTZfepKyFRWA48C5q1g4fp7TphTI3MNPQDqN2eVR709giMKBDbTyvcovBtyW9zZG7TaC1FNs/Hpdm2p7C2yD4yHOSuVznzL/2dNGZsU+hiokjr888H3J9xpOOKu49qLlWG2CnFDvOOmcACglay0UbWdPNx/RGpTRQQF+OE439atQBUaNO/d0EaFzIWryQNPiedqhcGgiX73iI/rDpXic/WI11XUPNMn4QJN+YzSU996Wv7dgzQTVl02CyDXu59XLXAe4q/rZ0Bzv31CobNc5wr5nwgxxriqm8tD29/CkDbhsE9QJ4KhcylwoJJBKdkPKERV/WGFu2kj4Tbvn6Jov6VLr0ErTGKW2CGmApQu1jX+DidLqHaIctcjisHKcHwQxfGEAfVo7rhxX3HdbcO6u498Bzz6ziWu05qEzzTMCWykrXJ2q7q6RfoFFOz0GwGLdebXovlUNEqYLGVW0dB96x6AJtcNEYGDVEbPlxph4iABt/Xt7uHmhVRxxwBLleK5+q/O6m+kEV0R50S412TyhcvtxVgDulzQ6m8joNyJvIIOh4okBXlLVpavekRSVA6Ogjf0HKYKt06gg5/Xef2TZzkXHVVuVNQ6xdoiP6AWLgOqY2zXU6dFvSQRstIlcCWpzQBajFXNokxpBxM4dzNT5mQagcHNSmyZ62IVMK3hmvexS13Htn3kD3sDIf3MrF6bu1IaVOz/Uf9Nqwb8cUjpZHagw9KUItSqeC+Ki1OuVAXY41nNzzyn4qed8y9xpqg4gUfTyuQ69ZWiB0r6NVflPPQzpXyAP0pk/smEZIdSg12jvFH/dulbsKcGFZkxwD7JhOKMFYZLXRTrPTkgAAIABJREFUYjiBjYC0KrHeGfO1BLQSrdw+AYIDCWpr8535g3Zd7w+bKQdnQbJ9TFeTEi+aRtZ7KcAwzGQqowumSbO0AKJ4SbH+SEHJExCml9oXK7+cxHTncbpeu47Dyg1WxZk2Gfne2nPPgeeeWTS0RbCd+V6LJJctJUXLNPxE/9tueF8l9ouoYGY0wWuxIMQb7RMqH928fPZGSF4OVncrJxnVakdM4S69Fr7m2Rn06YrnIaTZRsErbytjWmEVj3uVNV3vhHv2HO6dJVnLGGm848/0PbsSBfBOV744MH6pNn90x0kak+ZVOaENUDuljVNBF0EhOBncIZE+K4EXie5YbuCWtVTzkjJIHB69ocdF4FSGg1XWDEmZt/opvaKoRpANio9GMpu+G2gedIF5FehSwmCxnGWHleN6XXF95jmaOWaRq05ZfJ30HHTZ1Tlc5PRNGRyXZh5pgFJAXL9yLPvnJmAluuPp0O2rpNlTfQRbwZW0eRlRN5NyBh2S677htrOkjAGyxOPaxj2Je0lyVwHupO5TaLTj9egarfZgL5hj+lkc5zBbe8GJXQaUkg1npebooxtSp6YxGy9qulAIvStaCawO8H7CnSpeLy/r1X7wGExvARksQ23zPiKolPVbFgO/RpJm57AoCS67cSWPgEWKh+uMVjiKHhWzyNkmsE2Am64mGkAlD1JSZIJY7utlCid5HLjUpoIXThpzmTImhD7ATY4bEfpl0kk7FelnEtBnGS6zGi/Xr++3VQ9NihqWqYQz8DAnb5S+Xula4xCNA8+ECP57zL0cuasAF4bGnoEmO8HvdgXYJgl6tnPykCXbTNI5rgBHY0lBnaWOVE2LEeILURU0QtJoseDiLmXiVcuAkAKDq8ToYCgh9H6/Zfu861OQm0HHZTAb0wmDgaP4rmIcKNhgkZYhJC2wX7wRBzsVfNzvXO+RUDnJPsROgyVrLK845BMmZUzhDKbuUbtLg1W6rmhnwdVDl4/T2IdBLdh4G0E4PSdaXCAZOZPm7Quvh5Xgu8ZwVrqG9YdP2wJSQKHszCDFgDrqgzGPe6vphD2Ir5fLAdyR5XxXMmUQ09ED3HsrxCzBxSmmHQw1w2G147Z0zJq6jNtXAlhQHViyqwkNTYj8qypCh+ta6FLa7tay52bCz9Kpez9DfY2rDgjiaCfamNrea0KKJmqhSGqY6ixFfaQAmAxCUZNOwXNOm8Bx28eabeNxlYOjykcaJTDzlu0ix3hQerCNmYF7AIrfJ2SKJhrXPa+Cc1hQmW6BdA20C+tHjbkcxOGcA2dZfmd+hjpPqHxe+ZdphhLoEs9MT+uMH590f1c/M8v3f9U7kvq+i4qwcev9M5u0X+fj7GYFj7trbNyANXnCy+UArl48PfREkfZZbBsYxxiC75LWwvTDvU62fb7SS5mnfPQvpiSyEc1ZBGgiwEaAkHZhYNu1kB3pHfjKUoFXB1Af2tbqEOeihjvq6MzlRq7SR7elBLhOhvxlqcmhvY+rkuL4Wrqam/OOR08bHlt0PL6wDBUpzmzthKPaAt0oKctD1HCD2g8ENEbZUiUlkbT6h5WgOxVoPkmqe+2wYDLtHJpTpJ3bX9dA18a2iwWKdxXqZ1DNUD/DVTMqX1tshJgqPNEM4wE9URZbS1H9dbnNphbPqBr4JvtDqdVmvrr/ulKhuKiISFQEzi/OsTea7Vqy1rRj0B0afWxb5jXLZY+jh3YsZ43+Zz2qZ0XxH09HJXRIsOmtaGcaXrdA2iYCwhxp5tDMoV2gzcIsfALiK5gdIrOjOD1O5JzDVwfGTU9o8mU7rT8cjg4XWuN1o/aZX/6URsb5HNAmpwDqAo/POz54suCh44ZHTlsePp5zcxFoGnsBZ7Xn3sOKk6Pa4g6oxmSNIbq4aUwDZDRJ1vDKEIy5baPOnLg/abYCUIlRCNIuDGybE9ziBGlO0cUxupijXew755F6hpsdotUhWs/Q6gCtDvDVDHW1RS3zVUyZ5AYud+eXXgM+a/a3amY2/F0QXxMAu+sVZ3lmuIJnv0wRkRcC34Ot2flBVf220f7PwLLxfgLwIlX9ybj9E4F/CtyHeW1+i6r+Hxepy6UOJbeCVhhO42WwnnwANBNTbaBfCzB+r5c+V9d8io9LMgDadhGNQQohUQWtTXXbBunmBgrzE/T0GJ3fJMxPoG1jRR1S18jhddw999l1nTOA8jVCHWF0qp3Dl1AjwScQjWiSST+J/CbYwJXS/MzbwHHb8fhpx0PHDR84bnj/jTnvf/SUDx4vuHHSMo9TiYPacd9hzYden9F0gRAOosFplrVdVztmo5TuQ9ANMAoGMzaYJcNf0oVrZ9y3NHHgaue45hRZHKPHjxGOHyecHkO7SAQ3Uh8gs0Pk8DpydB2ZXUPrA7Q6RKLWK6G2tO1RI04D1ApFe2cSJxmjPui13Mr3/VB6J4wXQJS87i4kabdXjVUQEQ+8HPhLwAPAG0Xk1TrMKv4u4CXA14xOPwa+SFXfJiJPwzKSv1ZVHzlvfS4NcJ0Ge2B3pOKOS1nm9Mqln+vL2sRwtnak0N6ZKh1mWm0C2gaXKIEEtJmjbWza285hcUw4vkk4fhw9uUk4vYnOT9G2sam9r5CDQ1y7ABTnKsTVNh3uGsTPcN4RQvT5XWpnHz+gfFHya6lKcFVubihCE847y9R73CgPnzQ8eLzgvY+e8N5HTvjDR055+OaC+WmbfWN9JXzwsOLG6aHFnVXL/FA7R+1rvKglkawqKjFtdwC6uoJSGLiERbqkMGQ5J8bZaod0LdI20MzRkxt0Nx4l3HgUPX4cbRZo20YNt0YOj3CH13HX78Fduw93dC86a9FwCFULegC+Bq1xMWOGuiq7oZ3nsR67Dk4es2b72P4QguK8LAOsspGb2qaSS7qC2i3wPODtqvoOABF5JfB5FFnFVfWdcd+gAar6/xXf3ysi7weeCtx5gLtTLiEXOeYqp/iu9XTCFldbuUdIfq7kWbAFhenMaJMezG5hVEK36DXbZo60p+ipAW24aVqY3rxBd3KT7nRBWLSA4mY11bVIJTiPzI5ws0OjIUJngOXqvlKjaej4lRvwfJDBNi0CSGCbEkgeN4FHTxseOmn4o5tz3vfIKQ988JiHHplzenPBYt4RWqM+vHcsjioWi462C+Yx4FPwGhezKojxkK7GdwsDXQ1Zm5++C8O5Rs5yIBJXLyvSddA1cUAzWiGc3EBvPk648SjdjcfpTk6tX53g6prq2gF67Rht5mjb4roWd+0+mEV+mUgd+YD4A7u3qqirEOcsWtmIl121MjHdnsHv+PCUaXZg9WuTQL7wpBuA7GA2s7IW55QE9DsoyolFbttCniIibyp+v0ItYW2SpwPvLn4/AHzKtvUSkecBM+D3tz23lEukFHrOahcPwNhDYfBbh0C7ik7I+ye2DzTADfxrlrjQrs3GIMBefl0NtnrzMQPbG48RbjxC8/gxzc0T2pNTtO1AHH5WEbqOmXPIwSE6P0bbe5DQWvJFDQjmBB8Z0JWNHms8Xcycm8A2LQhIOc3mnaXVefik4eHThg88esr7HjnhoUfm3Hz0lNObDYvTBW1jPr5VXTFbzGhbWyQxqx3XZhX3HlRcO2ksypnr8oo2/MxAN60hhiXQVYa8vd2b4T2TaIQT7cygExpoTtH5KWFuM4jmsZs0N07omsZo3LqiOjmgni+ou85Ue7USXXZHGNaD6iAaO1sUj3Oe5MM7PHC9bAJa64oJoY9aWfrmps+y/LNsFZvKmG67zfKgqj73Vl5ARD4C+BfAF6teTI2/NMBNWuAuidxVtMIy+G5Q1hkE15mGM8gLCvL7mQw/yTjWRfeuRCV0C3QRtduTG6bh3niU5rGbzB+7SXPjmHbeoE2LeE91OEO8ozo8MMNPs4DWtFujKmLyRfEIqy2Uy/3W5zQrwTblNDP+VrnRdNxYdDx63PDBmwsevrng9GbD6c2G48ePaU+PCW0DQFvVdN11BKGqHQ8deD7kqObJ1yqLqdB0HFS2UCItpZVqZul1cqcu6YGT9e8PF6SLvrYhROqmIzSNaa7zU7rTU5qbJyxuntDNF2gXcLOKbtGgkX+uU+xd7xDvEUlZJ8z7WJxH2zlUh9bfKnEljceR0vuMdfHtJbkyrtNyE61AAbaSz11vSLuI7Cqc/y2Q9wDPKH7fH7dtJCJyH/B/Ad+gqm+4aGXuCv8L1aGmk39PGMw2MWps9hyeXdBSMWlwTKnKQ2vgG7rojdDA4pQwP0FPzVDWnZzQHJ/Q3DyhOT4lnC4IXcB50/z8oiY0Ldq2aHRxQk271fjpnMUKKF/W6SaKaWVFLrY0VbWUP5b2JyWQtIzCHY+ftjx+0jI/bWnmLYt5Q3t6TDs/plucAEI1OwQR5nVNfeo5Pe149LTlsdOW48YSZDaziqYLzLyn6xRfCer82pgVq9ynpLSaa4CQjJM20NFZn3WLlq5p6eYLupM5GgIhgq04wVUeN7uJ1DU6O4iudwfmHeJaUI92jRnTCo8KIWTQzRTTmc9LjIPA+XSQsSZrIC/5Zq/i8HciVxZveSPwsSLyURjQvgh48SYnisgMeBXwz5PnwkXl0jM+3I5pSOkQfjtW20xKAoaUzbVrI5pFbVQ7tDXNi2ZBaBfoYkG3aOjmDaFpCfOGrunQLqAhxE9FQwIV812VZMqOK6ksItnyWv+x65BGb4Sc3UHJeccgZjiAmO3W0u8YnxuYd8EC7XSBrm3RriW0i1Q6XbuwbU1HaJWu7SyhZGtlLDqliXnS2k7jSi9i7N4VXbqC14V+RmGfYfVfXAetXSB0gdAGQtsRYr+38zlh3tjsYTG3NjVzoybigEnimdNAGu+1aDAqKXSWnv7MZ+TsQ84sYsQdTQVq2tGlxlfeeYm7EFVtgZcCrwXeCvy4qr5FRL5ZRD4XQET+jIg8APw14PtF5C3x9L8OfAbwEhH5rfj3iRepz12h4SZZRSms+76xJI3JrVAXzpSkaqcVF4lb1DjdDQbCIZhPaNeCBrSNQGorGPICCXEOqTzOOwvMUnKdav9JfPtUAz6CaA7mMgHAifzLq/HoZw45R5gmjOpTy5SrqMxA48A5m2pHR3ixxGbJLy6Wb4OFJaMMMVEleVmti/55wVVLgJXqtmrBA5gnTALdpSmviPWhT3/WlyFOxzW2SzsDY20jL962/f0qBjcNHeJT0siCU96Uw5qQ82q6ycum5GjHRrQku3QN24Wcw2h2pqjqa4DXjLZ9U/H9jRjVMD7vR4Ef3WVd7grAvZVAu7NnUUdfkgZKr42xZNqSDAi+9ujhAbIwTtTVNdVBjT+ocXVt3KKLkcHTm5XKDQFxHi8WkMZF/+QyMI29pD0lk2urfZrxUgRytLOUV81XlrvM1xV+doh2Hc5VNlH2FX52RD2r8BX4ylv828rFADw955hpj/EgMajAMEnnWMywmXTzdFQEe+/NpauqcbOK6rCmm88MnJvYv7Ma530czMp7F/LIk8JrZm0ZssfI+ZDs4masMWebcqyNPRV27Rq2l83krgDcKcnTJx1/v7QaAQxCB478hkjxA8R7qGqkqvAHM6qj1l4g7wkHMwADtaMD6utH+MMD5OAQ6hlSVX1ZEcBFA0iFiOZQi1NRwJZiLhTfsyVa+iW5Mycc1p7rB557jyoeOapZzFuOuqSNe/MZBqSqmR0dcHCt5uCw5uiw4t7Dmmu1j5HCYnxfJjSwUcYEBcKKhSVlXZfm10I0ftVIPUMOjqiuHaFtZ/67tRnLiH1dHc2ojg5ws8qOjwsdhkB66x6o88Jhqt46ZeNqEgB3v1w64O7qxm+SYeG815oKc3iu0grjT56ug01v4zp+fAV1jasPCIdH+LiE19WVGce6+Luq8IczqutHuHvuRQ6v4WaHtv4/x+4ia9JlfNtNJUF2WkiQQ0M6S+tzVHuu1R33HdV82LUZp4uOrkgaOTus6WL0Gu8d9YHn4FrF9fsO+NB7Zzz5Ws19R5bX7NB7au9y1ty8UCWDWznBjgHHV9EJif5BSe5cObW6q5D6AHdwhF6bQ2ipMXqmOlpYH6sizpmf8+GM6ugachCNZVVt9ynTOGW69ouJMSgXc9s568yL69CrZK8tbyKXBri7HGE3phS2uOiSA9JOHBbdUFMTj0jL/8/e24bK0mXnYc9ae++q7j7n3vt+zGj0NWCDJIIM+aFM5D8hFshSFEiYP3asGMIkURCGiPxwwJFQcIwcg5QEB4P9Z5AFivMhJ07AEzIwlmVMfkRKNP4RBwlCFMdGo89533nf+3W6u6r2Xvmx1t61q0716T739H3PvXfu4p7bXd3VVbt27Xr22s/6yiW/KbQlOEItyKzaWLuC7zukYUBOx0hBtTRu16D1BXijoEteM1yNPqvGYc4ygZ3cZNIkklo5QdNEehK0Xis37BuPfiMlmxYR8IFjXLXqsZA5VmaCbx0u1gGfetjiWx+t8emHLR61Hg/bgE2j5Wu8ac+W6GrMEVAbfBZK0E/aXL8asawl1p0CbrMCNpeWK9eBfANaaR/L0MPqnYO83hNq1+DVGrRa629DowmDrHS72MrkZcmLQPASf3tsvzvJ3eaJbxq531wKM6f1F5VDEWb1+3NEmN3Nb1FHZHb7AXsNeDBQFUkgB1ADgBjsNfsXrdeQXt29OMWsGoNyCKoBAq02oGYN8Q3EB9XAKt9bSoNmvqLTXONyi5XrVZwPDIgQgliaycaZxmygSlpi53IV8PG2x9VuQG8ar3eMTePwzqbBexcNPv2wxac2Dd7bBDyykukNaxmekruWaHTvqsxRQse9PssepQy8ZVWTBoAGX7BNZrK+AHd79RCJUb0+oLSCAnQDCivr5zUorDSJjQvjJOrsURqjDkp7c8Qep+EIuM3G7QuCWP7pqOnT+P4l+eKeJ85M7/u5jWavktwj4I4D8hxyipa75DReLOwv21RbTm7ncZorAE5Db8m3qoEyg1wAhTVkbX61MVo2KyMEMs/rvAKCD5q9ioOCrQt2rHHgEjQXbGJ3MugSoUSpOdK2Nw4AGEQJZIVcGE0pfrkODo/WAU93A666AV0OHnCMTXB4sA54Z+3xzrrBO63Hu+uAy5XDymn1h2DVH5i0IgVwHahOmqhLX1sYbp7UfGN9EzQ6bLUBDwNk6NQ3Nw2Wu7NYmkAuAL5ROsEFCHtL3ehL9jBAVyyl4zAFW9j7U9zD5qzCi4zMk/KBnElEUEo3vSUWbpZ7A9x0xsQ1h+TY4UXGpNIOJ872RWt4QXEeEjXUFGGl6RZd5gU9ILH41VJOjC2YaHgAFXAGsb43H1pdNrNpXzTyxAIQSQFdx9NMaoek5MYlzbwVLcqVDYqVetYKDsENaJiwaTwebQbsB62EC2jRy9bpd5fB4dHK42HrcdEq2K68K6V2XE0pHNAKb2p2yVtQstl49ZH1LUSigmVKUB9o6+sUx+3sUldzyMxI5LR/nUWa8TjpCbhMnvlu1bkoCCeA0pkeh/k5JjXOXsIpyzEWipK+lancC+Bmg9FNPpQnH+uaxloZXDB9n8+dJY5KzEGhE96fJKS6ICSplhQJkAHk1R1J25hKA0d4rfjBzBeaXjlvxOSRMrCgGbdIEHAaSi7Xm/JK1E3P1SqYgNYReiJwEnAiABHUKogHZqz6iG3v0Cet+CACBAer2utK1d5N0Iq9pYhkroxLKDXMrvfzzT0/9VAwYa9aqfkE50lrNOdnb4aZfy3MMbheMJcBwyN3mydLwCZAQmRfwqPzOZUm4IORc0tyzBh80wptKTx9/tmxEPbbtFOI7z+S6hWX+9NwF3w7X1ROWWJem9llLD+z6Of5MmQCuh6A+qhmFVQN6up2lIghsIoNOfILuDZJEde1zgAS0dSPVTVeu+LxNzAjmmgY703x+XXTFeoVeANLed86B5GI5Nnaq23pIpWKD435624McFdes4Tl8uiNG8GWczTeYkOOt1PEqvuW/tZikPANEpwCYg7cSAKp7j+V+AxtC0TApBwyZ60XqIjSimq1VUciN+aimLVPbqEFHnOT1dJG1t4ZH1u7hh0ynp1zzOfnKN3RePgyAh9eJbk/L4WXyyZMz3XDZyLFDnX2c+alfnaSR6EtckoTKlSAgK1qrD5EMWoqRH2f9DvIBHCzC5UjBavABO8IgYN+HntQ7Qg202YyqB2zzZTgutxkjA/YvNJATEnzLVjZHTP4o0tqfIsydU2brxpyhrPDcvxGTTRI69/EWlxTc0Ik9FH7dkgJmp5X6p8ohwyCc1r80jkuLnFcA3J93kpjXnJZO851jvfjFKnHbRStbDEe5fq5X7aZ4mUnX38T5N79cF+WXLv3ch3k6+0MIOc6d20sySGt8/pXel6xkFaxfLM572wqmbmGpADci1gGLwGbNd8zleV44whNYkTbhgtwqS9gr5oVT0H3iLvYNEBCSnivyJjQposRXRJc7bWW2eNdj6s+YTekAjyeGZtc00wSmAIcK0g4YoglylaXryUqIbfghoQ11q9Ul1MCIbEzcB1zP3QxoUuCPkJzOCQgpexDrH0brKJwdlPTZOmZYxYD37Eq8FKS92nb65a+ODrVv8z3ouT+XUDVqeb7tkT6fcobA7g3abFLMq8JpavH44azk8apJYCZaDlGYZTzR8FgwBGTpT6MWpCxt3phuyFh1yfs+oi9fZ6r4DIpWLXBYRMc1oGxzkv67D3AamF3sa+WwnPQvfmKSlUIGfMpRNPgtPKD5sZ9uov4cNvho22Pj/cDnlz1eL6P6A3EWs+4bD0erT32Q4OYBCKh0BTMutRoveZOOGgsu+H+zF3IADXOikAnBqsqvI8JOyt6masL72MqhUV1IgMa59A6jaZbeUbjBE3KXDMjuPE+5ArE2ZXtkJQxdmSJd1MhyXJtE75/mTK4UUQpqbcA/MnJGwO4t5FrPrmCs/mtCw6HneaPxqQvwCB1JQUDg16w7SOe9WMKxF2vWtmQAwlIAWHlIy4ahweNQ1qZixkAAmvJmnoJu1Sm5ihPqABbv9dsYaopboeEJ7sBX7/q8PXnHf7g6R5ff9bhG8/2eLaP6PoIImAVHB6sAt6/DPjMw4g+tcV6r5opQJ5BEWjcMujqEvqwsXVeVyvvn/u3j4IuaYayp/sBH+96POu0f/c22eW+Ck69KtZejXubxuEieGwah8YDjSQIGJ6ARIAXwLHSJSTjNS32KRYSB91Sig2iKle/dNC3q/xXS944wD00wOafE422i3MPykOgkPlisfd9kmqpq0vw3ZDwrIt4shvwrFPQfbZXn9ZtFzWiS5RK0DwGHrvoi/sVc9AquHZczzS66xRDz/h0nurglsE286CqJWq13g+3Pf7gaYfffbLF73xjh999vMXTZ3vsdwPSoOd0ntGuPT560OL5PmI/SNGsdAmfkDOYiVSgK7HMVEJOreFLfV4aOmWIRcYouCFZOfdOwfbj/YDHux5Pd9q33aBaLjPQ5NDlVt3YLoaEfiWIItiI0ygQJMAxPNQIJ8lKBNnZHZa13Vyw8xxSa7e1ilsHP8z3fZVFAx/eXF+HNw5wD8nS6uy2NMRJUjm9Lx1bDUuqcSVBSejdWRWF5wa2T7oBT3YRH287PN32eLYfsO3VICUYAffByqOPAUCL4Bir3qn1PyZE5xCTco1UtS0/mJOH9QbJYJsniZy/diwg2eP3n+zwzz64wm9/+BxPH+9x9XSP/XZAjOqK5YNDuw7Y7wbsek3J6Fn50MYxPAWLLlMLf58EgQnCfurid1C7rbwTqg/rPs+VKp7nShW7Ht+46vH4ea/aeIyIKYFJudq19e9+HTBIM+knJgJ5gJA0o5soL0uJMmV/ay8ANUbKSRTvko2CbuBxTzrGW3np8toD7o2DRrDIg92kBd95qXfAqJO125xHFpguz/uoWuNVn0ZA2Hb4+KrH422Pp7seuy6ii2o0y4CQQ2eDd1g5xiZEXASHwalmJ24scb7Em5zqUkdE6lcbjfpIgmf7AU/2Az54vsfvPd7idz66wsff2OLZxztsHz9Hd/UUcejUjzessLt4iNhr0nQmQusc2sDYeOWfgyeEaNV7QYjaYWWeWHKzmlzLgrtV7vcoKH297SOedxFPtwMeP9fyQM/2A3ZDRIwKWK3XII0umseBeSU4IvMKYTjS1JJs/ReYJkUctcrDVMu9yxi7LUDK7P1bmvb+5SyAS0Q/AuCvAXAAfl5EfvYcxz233GbAvvDsv+iAPvKgKY2gKzJWVIgJ2A8JuyFiN2iBRi1do4D7bDdgux/MD18TkfdWgjw4xqYZ8KDx2JuBbSOcixkY6GSvWVRP3mFtvJbMN4tY1Yck6IakoNVFfPS8xx8+3ePJkz22TzpcffwU24++jv7qMdKwB0DgpkXYXwHp02AmPG4cvr7xeO8y4J1VwIMuYh0cGifwUQGZzNf3FKCYeyfU15VLLUWjbroIbAelap7uB33dDdj3EZIUcPeO0A9ihrCR0209YxUT+hgxCCOUCZSMvx0Z2pcd7lrP62+11ddD7gy4ROQA/A0APwQtQfzrRPQlEfnNm395v/Ky/IAPcaK110K2QGewzdRCNuz0MRn4Jmz7iG034Go/aHmdqt1baGnxte2zHyK65NV/N1UVY7MFR+oP9LPjkUxj27OxLwLoBuVwtzYxPLnq0W0HbK/22D39CN3zj9BfPUXs9+oT3LRAEux9g91qhdVFgydXA55sBzzvInZDLNpk5AySo8Z4kyx5J1RXaRNbKpNF9hHuBsGuH3DVRez7iKGL5bcxWg4JR2hCxMbc3EaXMvOPdq5oswyaLOfPXajxFKkB/pP0dT+XvOmBD+dgp78fwG+JyD8RkQ7ALwH4/BmO+4nKOQfn/FCqlMrku2JAk6wBj9puds7PRRsHoxFE1J0smWaboqAfRleyPnPDaXpuAKZ504RWuMnF6pDkSr4ZfLukbmvDIIhD0mKM3Rax2yF2W0iKSCli2O8Q+x3ifouu69H3EftetUpt+3jVEhh5AAAgAElEQVT9FhdWAkGOyWkObgDKhKH+zEPSAIjBapmJCGI0X+ek/Zy/72KySUf9poubHKbeLq+DvCbNPJsQ0Y8Q0f9NRL9FRD+58H1LRH/bvv/fieiPVN/980T0q0T0G0T0fxHR6i5tOQfgfgeA3662v2afTYSIfpyIvkpEX/3ggw/OcNrXR041zh0y7BUL9MJ+GbRrC9hkU3KCGrJkN1QZ9m5f3HqK0bfx+hT7l8q+maKoa6gVd2G7iOyof7Rd9Q9TmnXK2NyjGufsZzJpm0w8TV5E3vKon6xUK/B/FcD3Avg3ieh7Z7v9GICPROS7APyXAH7OfuuhNc3+nIj8MQA/AKC/S3s+Mf8LEfmiiHxORD73qU996pM67UGZP3eftON30cqoBKJp5BL01THBMyxUl0r9KXYE56v3lvClhJzmignl+DQ9oUk2hB1DjrJcL+1kc+XS9ImBGavA8N7CYJsGLqzAvoELrSXIIbhmBfYB7Fu4ELQChNU1C84S1phhqhiaaNnoeb2NNJs6BNkNLrc7c8EMNXq5ErxA8I61GCdp37Ib+0wjy1jzPDCXTGY5rHn0I77uArZYqPNEeQvMZ5NTVuCfB/CL9v7vAPhB0gfnhwH8YxH5PwFARD4UkYg7yDmMZr8D4LPV9nfaZ6+cnOBt89LPm9/neH2CGNjCUhxqkpeVdxrhFDzWjfK7W0DLoouG9jaesW4c2qDW/saxWdCXNLn51Z9mMANyOXUpVLAD0DrGyvLfXrYBl+sGT9Yd2osW+6tHSMNeAbTfAwBcaBEuHiFcPMR63SCsHC7XHhetx9o7Tc9oE46drmgDJ02GE9V4+hkTge3Y3iaJ1utEsQoO6xAxRD1bSkk9EpiwbvQetJZop/Ws4b1lkuMqqY9VyjWDJufJYinU9p7J1TcMzD9FRF+ttr8oIl+stpdW4H98doyyj4gMRPQYwPsAvgeAENFXAHwawC+JyH92l8aeA3B/HcB3E9EfhQLtjwL4s2c47klyI4iaZjNfk54CvIcG5YtYnYsGZE77xV9UpDys3jFap6VrVi5h3Thcrjy6IZUgCu8InVnOvWOsA+OydbhsPdYFGBSwJxoY4VofyAkGs6Ic226eNWvZwITGEy4ajwftgHcvAz79oMXTbYehi4jDIw12CGukYQ+BwIUVwuYhLt55iNWDBg8eNPjUZYN3LwIuGoe1dwieipbPPGrrx/rWrmj2ikKUE8HAVvum9YSVZ2xah8suoBs06OLKxWLYDF6NNw9WAZetx+Uq9zGVLGe56CWbdlsmURq12+XJ4jyASwsDmebfv2bCABp3q4X3ByLyuZfUHA/gXwLwLwK4AvArRPSPRORX7nLAO4nNCD8B4CtQ5ecXROQ37nrcc8tS+PqyzvdypCzLoRFIiQAnDEEyK7fmEdgk9a2N4hCTOv07JgTP2HYD+qiGm8CExqtj/sN1wIOVx8Zi/r0bl735nJO2ADcmrCGYS5N1mGOARN3QiouUCC4bh3daj+1Fi6t3Buz6iLzgCo1Dd3WJYYg6QQSPdtNgfdHg0btrfNu7G3zm0QrvbRo8aj0uWkabgyCY4CkXrjxyV6iawK59VfV5CbJQIM1gOrrW9dg0Dn3U33gmbFqPB43Hw43Hw5XHZaNhvuvgSnWKou1aOwsAY3k8LbmvnSr3tUJ7zeWUFXje52vG2z4C8CFUG/5fReQDACCiLwP4PgD3B7gAICJfBvDlcxzrrnJoUM4/L7Hn8vKXWLoM1/BPpjHe3jMg0OxY4oAkXDwA8u88O7Shx2bvFXAHdW9yRGg843Ll8aD1eLQKBgiacCUYwBwKJ7s5J4GBmJWDEXJwXHk3AIiJsQ6Cd9cBXUroH65LxjUfGM+fBey3LYbBIs28Q7P2uLxo8G3vrvDZdy/w7Q/X+NQm4B2r3JuzngWnWuKxRDDA0r2zm2p5I0gSHDEcCTypZr4JDg9bj0FstcCEdWDsB0E0F4/Gcwmdvmw9HrSar+JBE3Bhmm5OYuOMe85cehI91zVOd9KDd5NTlIXXUMF9GXLKCvxLAL4A4FcB/CkA/0BEMpXwF4hoA6AD8CegRrUXltc+0uwmOQi+pu6W72kE4HMM0qXz1qDrOGs5hMDmb5oErSMQNHpJ0y5GrFzEJjC2bcJ+iJpgRQBiQsOENjhcBofLxuHRKmATnIHtmL9VZWxRrnp7aGIiIlDsR8ObREhMYHYIZlCSoDl9UwskaYo27Jlw2Xp8eNnj6bZHZ4DbeKVI3r9s8JmHK3zmwQrfchHw/rrBw1aj5Bqn/CifCLalzfXSZdb5JAnMqvWHRGgS4aLVkGcB4EkT1GxXGlWWLKOOBjoosF4ExmXjcdF4XDQ8Jk83PleNh1S06SWwzWPgkDZ+0nUe+TKPi1N/+80AyIdW4ET0MwC+KiJfAvA3AfwtIvotAN+AgjJE5CMi+qtQ0BYAXxaR/+Uu7XljAPfociuDqe3EVGmSeZczkF4kctC/NYNuNpp5ApLovo4dXBI4SnAsCJ6w9oyLxmHbR+yHiH0MGFIqBQKdI7SsIb6b4JQLDWPJmrrceA27N9IJB0Ahl+YBewTLXZucauRYeQ0SMGPUZevx/qXmf+gG7eTGKRA/3AS8t2nw3tor2K691TS7DrYZwGp3sWWZ63qC4m9sEytDQbH1DoIIrD0ca+HKiyaW+mvR+tZb/6288svroEa2xlGpXpHpBG+nypruvEVj32o2s3NK7p9TRu7rALBESvucU5ZW4CLyF6v3OwB/+sBv/2uoa9hZ5I0B3LkcA+DRmKTbJycfNy3i0CCn/LAfQIjRqk1lf2KCB+AI8MQIopmtWiZsAqNrnAY1RK0RluzcYwJyNQQpGEzrgxFpyZq6hcfqyR2quUVAAV1vSWMF2h5Z+eJ21XrGg1XAzoIaAAW7lWniDxuHd4x3XjsFQV/Aa0z+UldQONRaNUbOOjiXMYJOgJwigkWE6XU4OErwBKw8o08evfVtvk7HKG5jefIKxtUW7tbpXSx12BbDukttD+XxTyyvc9SoS5YD48AYzm51b+XVkjcWcGvJY28+iEVQSnEfGps1sJ7EvB2x/OeHYlz6jcm9g9MQWk0n6DBEizyLY3RUlKmLWZ1QJVcnyK8MgGVaHyx7J9wMYDeAsbYYjtTwlwE/JsGm9Zo60jTWffQYLLmOt1wEGwPdi9abkcyN7eVxKS5VX97UpSWT2PQiMPJEAkoRDEFgX/WZUhgrrxFkUVw5b56Mi080jZOBo9EAV7xAJIFSmqmaqqILcfnoUFL120o9louGe4AOO0ZDvJVPVu4NcJe8Bl74OLOZ/lRn+VxZTCYPyl1FikfCnFoc3azsAU0GCECxxgciJGew5ggJNElYHjEedwkcMtASEihGEGVyeixhc8Il3PAVLUaoMRM4CoJjNDYxMEUMrEDmGQjOAh1KIMEsk5YIBFT67tThsViWhxjFZcJA10F5aO91FRAFSIlQ9qqMlZmGyP672sdWTDJX883JzicXYedWlRbuNhV6UWmuJ0imxcpYm43hU4Z09hs+h9Rj/K0sy70BLhMhQc4CurXUNEEB4/p7TLUDsjfnSjJC1etEEzU3K06DapAl+7kAaUBJEC6CsvjNjYMmcQGchefyWC6dRmpC3Qek8JbaAbkRtt8ROsEatfwJMRJpFrI+Skkr2cUxqct20AoK2yGijyhWf+8Y0arx5kgvJgYjgcCAafjZDe7Uhzd7RmiFiIVqv5LKHwGgqHXIBIRQ1t1ZPZRyDwDRg8c01oQDKlQ2WojyGXO5dIel2nEvSwrPLeMYnp+1DsA4J8BO2gEd46dWJP5mlXsBXAKApM7m58LbOWVwiEKY/OaWD4TcYBCrhSVC2JcT1m5WE7AdOhAMEOKgGpNEy+EYVUPTtfV4Vaz6qzBDa3orAE/yJFitbwEADgYCoq8L/YLx6MvXDQW0DNY12O6sUsVVn0ri9OddxFWvXhVDkqJ9r4LDZnBWKsgjwSMZDyxQrZBJ1TZm1fRO8VbIoCvOQ1ICyVhmB8SgekJLg05IGYiTsdBiwLqUmCL3awZRq8Ys1vfETsveJ02AA+czAt7c8BvkpFVa1dJjdqZFr4lbt+rm44vx5Xc6DnB2o9mrJPdHKUgC2B+tdHrSsejmqClCBtdzqtM3HM/8O10VPDDyd/abXMI8DkAaQHEAUg8aet1OAzB0kBQ1WW5ZHhPADsQMcgHivD7g7CHsABcU7NmBfANJgwHtGOV20yWJTBNMZrAFjEsWKVUf9ga2T/cRj/cDPt72+Hg34EkuW9NrQm8ACJ6xCYzLtea/3Q8arhxbb4EfAhGHwFYjDAoiUeRgqZpalFXSdIhCuR6a3aMMpMNevQTiAEr9pO/FJryS/CavLpitvxVUJWuxzuvE5rz2rSTAN+pCJzYJ3hF05zK/c0QEPnA/l9wcXyaMqSvheTjqN1nu0WgmttTBnXFwfggmKhmo6vdL+54qWYs6tT2cIpJplBNjSdZ6M4DaA0+pB/o9KHaQfg/ZbyHdDqnfA31ngGAtZwZ5D/INqF2BGvsLK4hrAN8AvtXfOLvFcpy/pdlrDbbRyrfX1Sky2H7jqseH2w4fXvX48NkeHz7f4/G2x7bT1JJE6teqVXsDnl0GvH/Zavl3W7lj5aAMtXosUNLVhOfTQTfzvoVikA4kOtVQijrJxw7U70HDHtLttI/3W8jQAUOvfZaBkhjkg/Zz04BCC4RWX1PQyc16TMvGWUG0FM0aezfjQMo0wU3KxA2dcqxk+rHfnypKabxI7rlvPrk/Dbd6/aRuU+17e0wm9MQLDMritwpcA1vkZVd+uCUCQw9Kg4LA7jnS9jlk9xyy2yr4Dj3E6oMpEHhQswKvVqDVBXh9CVpfglYXeipWuoGcn3J4x9o9K8KYaYRoK5EkQJ8SuiTY9gmP9wM+3GrF3t9/vMPvPd7iw2cdnl/1GLpYcvc6T2haj8tNwLP9CvtB8/bmFTszAQ2DKIForBEWk7pf3UZE7HjFcGaglSJo6BVst8+Rrp5Ats+0r7u9TnRRtVxiBpwDBQVaWq1B7Qa82igd1tq4IFLPD3ZKV3Az9vKt8fa0e3TaUUapw6Pn351FI6UzHusNl3t1CyPVPc5zrJkmULazcaO8x3kQ/oSZ4uCVFYOZal0kohpvVC1X9jsDhKeQ7TPEqy3ivkPqei0BwwxuPNyqhdtswBcdEAcNVnC25DV/2XLKvNw+FM4LXIvzzy5kWdOKSWmAwYxmz60Q48e7AX/4eIff/egKv//xDs+edeiuevQTwGX41mG/H7C3IpI5S5pnjc4KHKyeWQKE4DK/a9z5qSOl/IY9XIoollRJQBogQwfZPUN6/gTp2ROkq6eI2y3irkMaBkAAcgzXeLi2Ba/XoDiAk4VVGxhnAya5AEi65qp1LlXimi3ihN+8BLvYQXkLtKfL/frh3m3FdZLUuPgi2rRUb4jrZNhn0M2zQawYdCJkGCD9zoB3i/j8Cv2zK/TPd4hdj9RHkGNw8AibFqHvEZKoNhdauKYFhZWBuoycrdEJBw1mhb89xAmOFQ5ybbBtNpZttfrtB087PHvaYfu0w/b5Hv2+g5gfLnuPZt0gRVVrv26+uptGk+6sfcSmcWgSIVnWndvQOGM7x67VmmJVVTQRtRl0e6RuB9ldIT1/gv7JU/TPrjBsO8R+sPY6uLZBuOgRJMERQZwH+QDpG6UWUgKx9XGmx6a9ervGn1Oy1lk56L4MOmE83XkmF6K3RrNXXk7xULgr8J5VsrvWNf8dFKNNihHS94hdj/5qj/75DoNpuUQEagJkMMrCO4S2VToiDmoYusb73TyIc9jpxMgiGfEyUznypDEB3RCxGxKe7SOe7Hpc7Qbst53WNXt+hbi7Qho0QT6HBnG4AOgCzjtcNQOebDT8dxcDBhHLhDbauIDl+5RBeK6sZ3/lfL0MGKdK2npR46OkqBTCfou43aJ/tsX+yRWGqz3SoHw7BY8wqB8zew9uOsjQmwdJwk3uTy88tsZ5QcHwRbOKzW71TXf+zYW2V1PeCMDNcgh4a8v8Ofx+F6ObbiX5l2zvKxKsPC2KOhITJEakISJu90iWDIaHiJ4I3AT4blAwiAMQ4wQM8uXelP+2aLfXQMSSnZMat6bf5Aq+CUNM2PcRsYuIfcKwHxD3W/0bLAF5iiBiDPsGce/R9wN2fUI3WO22NNZty20au2SkE5Q2Jftu3H8eKBFFwMkqVBQuySa6FG010SN1PYbdHsOuQ9zukGICewdKCdE7uD5BhhzoIGOjMt+a3e+ye964w9nQ7DZDdm74PPT9W7kf+cRK7LxskdmSroBi9dkhx/Abjzt7vVWbAEwW6bkxbKENVRCDkLkfOXU1ImZz/cq+n3bMlEYQ7gekIUKGaC5NY72w0uZs2OHDlVAPPaQE9SnOicBzcm3G+JfBLAOwuhmrFhjjWP4pxQGSElJM6gKG6UTIsKoMlC9XyvvJfkQGmNPIsny8jItEWrZ8KUhEGySlPTIkSD/o+5gQu2EyfsixJa7Ifs9uDHIoPrmkn9s5l3v0mJwHDqWeFw4c+S3w3o/cr4Z7prs+d7HN2/njbEATnOapcFqo7/HGZxDNDuGa2CYb8JwCFZH6eLL60sIHcGggoQWaFtwEuLYBb/fgRh3qU0wjIBenfEKBQdIg1Kx1HZs0bsxiVfkUJ0jJJeCdJkBvrPpB4xjOkRr0nPqtOheKhss2ibBzYKc12oJnzbrlGIE1e5pjgoNqpshXlIHewJct122dJCiD+NhszUOhgSIKulQHiLBuE+w9a12zBIAdg0NQKqEN4OBAoQW7AISgngs+6PnZjUDrnPY7O1wD+BeQg/fryHfAqFzUkWWTkj80235FhAhoPkmL3ycs9wq45/JQyFIPxNr/dsLfZmXxmIfBGR4WqQGB3dQZ3wWIRJBFJYmLQPKg0EKaNajdg1d7uG6PsO+QenUhG5hB/VCs6Owd2JsDvnMT63kdiXYopLdc5RLdYEEQHHvAhZLisCdC6zR95CZontsHq4C29Whah24VMHRr9YzodYhxaODaNULrERqHttXE6Zetw9qSfbfewZOGAav3wphjtlAL5lx/jCbKPKhkFy/WftEJTgND4B24cXDewbVB8zHEBPYeft0gXLQImxXcegVq10C7AjdroFnp/asDIbJHSH59gfEz1/pfVHjE1CI1JbO0fVc597P8psq9c7jnMl7NAxxq0YeWypP5IvEW1/Y9egAyVyqx9tXx/tDlvz2cwgnEAeItxHS1AUflZTkO8OZ/q+5ge6RuAAjwKwOEVQNq2qJ5jSBgGq5p2QeaueydUIUgEwBOPTwHJGCSyPvBnvHOOuC9i4BvXATs94OW1Ukb9N5jMKOZ9wHNpsXqwqO9CHjnosG7Fw0ebbRSRV1FQdNUXs+Nq3l6l/X1uctbfhcFthJwELCCrQ/qWxtWcKsW/mKt7nbeaVhx4xFWLcKDNfyDC/DlQ/DGfJ1XG50UXdAgE7b+dr6saLJ2KxgDR4DzZQu7ScqCJ5+z2piXKzqXl8JJC8K3AuAeATcv9U/NjHSK1L64NNvOn4EITKOL07VjHDnH+Lgf2XM2mMckKw4sAEXRcFwAcJkvtExjrbovucqCRM6Dm4Bhu4f0g9IjwcNfrMDrC3C7ATUrILQFBIScZtKi7M96vXkHjSzZgJaicsspwVGPxgXERBgSY+MFD9uAd9cJ3/Johed7rbkG0VwI3coh9SudHDzDrzw2lw3ee7TCZx61+JaHK7zTBryz8rhonObztZpmNdhmjS0Hkky6ubon80lQaQUaNX7TSDm04HYFWa0h6416IziH0PelX926hd+swRcPwRcPwJuH4IuHoNUFJLRK+bgAcRZODQJco+e1KLVUueKx8fQ358Od3oVrfiZHnhfV/MfD1C5hx892BxHcmCP6rYxyjxqu8UpnPNpBACVMBuoxWuEYhXTKwFpaHpYkK+wR4eBipxpX1i8r4w5BeUXnPCioRsarFdx+B+l7Xe47Vm14fQG6uACvLoDQqublguVYcKppWx6EUk227qO59ltM/0k9AdIAQMNXXRrQOIckjCElPFp5dDFiP7To3tXyP0yAbzy6nWq7RATnGO3K49FlwLc9WuPb39ng05ct3t8EPLKaZivvJoUZs9EMwLgymDRTlyoELAKRWM8KCGKGLnINxDeqqW4uwUMPzw6u3WqUGREoBHC7Aq1Vq+XNA9DmAahdQ/wK4luID1XeCq/9DaWRkgtlss/NShDQUhrJWu6IVjV/O59I68/y9rlkqtKcT4F6E+X+NNwb3JTuIvUtn1u3a8OKiBpk5voGzdHoTi25LkkU4IiA5BuNNIMacCQNyrvmhCnOg73RBe0GsrsA73eQvlNfUGb9bnUBvngAWl8WMBDnVcNlX0Jzc59kjUuvl65rXcVPuAaIDLxaCaF1hOgdogBDatBFdcUCAcE7fGO1w9PdWGInBMKjVcD7Fy2+5VGLb324wqc3Ae+tAy6sLFAufhmYzLZFo5EM04luqXfnj7tqexpAQc6DYoC4APgG3F6CL2wiaVaQ9U61erJw3rYFtRc6mbUbSFghhRbijUbwYTR05hWECyVfRUpzI56FG98ASlJ6+mY5qFzM6IRsFDs0nM+pjZZz3fGZ1jLpb66efI+Ae36PtDoZztxTARWPS0RglmkmvkqWjA35+GRgdHQJdcOYyct7BXeNENO0gllb8hDXgFwD8i3Ir1R77XaQ/VaTrJhXAYWgiWvaC0izhgTVwOCMZwRKmZucrJrq8wPLVqdCx4yPNwFAGqzmV4vGEVaJMTSC9zcBAi1r3nrGw7XH833Evo8AAa1nXLQe7140eH/T4FObgPc3TWU041Kxt2RZS7Fw0Ln/ucpti6p1hzh8EUEEwbHTzGq+AdIKIkk1aB8g6wv1YxZRI6bzoHatXG1YIZlWDN+oRus05aWYUTKxK505p24O9+vhsXGTHPKyyfe0NpgRVRU0qhv+suAsJ4J/1YSIfgTAX4MWkfx5EfnZ2fctgP8KwL8ALY/+Z0Tkn9p3PwXgx6CZlf4DEfnKXdpyjxUfRoPSeY6HKcBi2VOhfs3FGPMQmXNgL0uyk/7oL2kBqOQ1KY00YB8hvgPFFRA6UNyDmh606YDYg1MuwKWAlLzyiuJXminMKY/bZyq2sjVlN6HxMg+RMaLAkiKy/qVUTIJLPRrnkYQRJVfv1WV1cIRN47HrI7pB8x43nrEJHpct41Hr8d464IGBbS56mROTa25aIOfxzeOECHqtwnBpAEkqE/cSZ5/7mgjm7qUrChHNiUCWwpLXg6VkNH9oFyAckHwAXGNacYCQH1M0UpVgvPgVH7vvOriWhtfJT8IBOoyASV21GmxHWmHc+dwuYUmsQvRLUKTuIkTkAPwNAD8E4GsAfp2IviQiv1nt9mMAPhKR7yKiHwXwcwD+DBF9L7SC7x8D8O0A/j4RfY+IHPChPC73ArhL/OY5ZCkVYymJbjxuAdxKyyWZLVdnA7FotrntkzMcuI4DwD0NPx0/y5+Qkc4MDxcCyCdwM2iWq7bX9IIxAjKU4okFJCpNLJEvYHuwqyl7KCx9R0Auxpg1zDRmK4MkOKclwhvH6JPg0mqaMWkxy11MsNQJCKxarhaR9LhsPVozkpUKD+XcWvyojjzL15HMIAejQoS4KI05Kq6ex/NYGxIhsFPtH6TUjWsgYcA813DWYoUVaFM2PhrXrucCgHStb7nmT0/hPSZdPhrFDkYFLvycMKUTlmiXpYxh53bBTaI89Ssm3w/gt0TknwAAEf0SgM8DqAH38wD+kr3/OwD+OukD/3kAvyQiewD/n5VR/34Av/qijbk3DfeMyu1ElrScQ8vOrOVm7QDV6yGZO48fVk2uI65UYJtzBgwV4M21JCIxx38PH9QP1sEqGli0VeFPiAH2SOSRKNfrGr0x8kM575f69Zpk0IU1tqoYIc7bxKV97klz1648Y0i6X5MYvSWvCY7RMOEiOKUPTKNl+8uS8+ceZDlgPDQ5OBkm18aY3t/8NgrgWNAngiPzXTY/6JJ0nEYXukSMpDnLEJPxsSKoWdk8AZdCkpTHkxTueSmH72HvlnFCn+y/SJNMh16hiKrBO6EQFpB17iJ2DjnH6pAABLnujXKDfIqIvlptf1FEvlhtfweA3662vwbgj8+OUfYRkYGIHgN43z7/tdlvv+M2jZvLvfvhnlPm+Je12nq79sclIjjTcvWhXB6cp59x+s0cObJmHVM+pxTQHyqeVbW7GtcJPOR0hgoajgI4TMe3Arpec5SpZp4OAMAhN6VCxDCPBwfGMGRoisYh5irDUwAoPKzTqrWhuHuxAZLun0QQU+53qU8+uRc1gNXPtUuD+jdXXV003qpNMQqc5bFRbdpbAMQ40cWkOXpjFCSkSfqE0l8VwDqC1ZobNVsiaGn2O7hJ3aSL5H4qKzU756REOkZKYWlSPaeHwlxewsL1mHwgIp/7xM/6gvJGAS4wLpHzfb/unTD9Pg/MYwuh/PAWbfQGPs52ONi+fDwi0jIzSRR4TAPOrxkI8oOTq8dqZd5Zqe6Fh0isHfn6BJjwdzeVRJfsLTFruwKTan251E4fNSH5ftAqEPuqqGQGrD4mtN7ppDEQHFmuBGVXIQAijWG8ADQ3bwVwS5UfCCg15Ji07/L9TXVfQwF1KNeir0nGDGVRUun7vDKoJ5E8kTDUR1gM5QJTAd587rk3yNjeg3zCpJ9vEsfGmdZtqykDmvbREl/78iD3lZPfAfDZavs77bOlfb5GRB7AI6jx7JTf3kreKMAthrPZkrTmcYEjTMAB0ZynNObEJdX2bqYUDp8rg0G05aqWm1H3LU1OpZpfrnqbr4+JFay4yjtQSqPDEs1QMaCU2mo0arlApREtLVkBgLmUZq+1UW0zSjrFvYHttkt41kU877WI5G5I6NPoh+qI0EXBkNg0SYckDhIYgoQkXBKSOxoBJBeSzG5Ps3QAACAASURBVCXLD9wc5NL0jhTCqQLbZNrr2PdAqsA1Zu3Wri2mVK4596lSH4AXMw5BtWFPQBQqtflopoVfw7oD4yWD9GR7eVe1P0DHB/NMez30StPtbyL5dQDfTUR/FAqWPwrgz872+RKAL0C52T8F4B+IiBDRlwD8t0T0V6FGs+8G8H/cpTFvFOACyzytVK+cAfOOa59jy8WRzzt8qowBefmfqykMMVWVcVNFD+gD7VmBxTt1pfJuDBRgARyp1wOzwEFBhHi6xDxuMBuNQ4Oou1d+HxNMu1WNNtc2e7rv8dQq9l6Zh0KmTQIz2sDYDTwWkLTjJ0+ILPBMCGBE6ISQ/6LNcIeqhBE0Ck0rCytIVw4EZVKLRuOkch020dmkMVifT8YPETyNlEgbWO8nEwILkq0Soug9KO2TKac6ys0a7tRIeHiMEhH8QgI4st8VTxSarsKIpt+/6WKc7E8A+Ap0UfALIvIbRPQzAL4qIl8C8DcB/C0zin0DCsqw/f57qIFtAPDv38VDAXgDARcYNdosMgPgNKMVjkkN2PWHx3xxa7elfO6lUkCCkQNNYtUUegUlLSmel7hStFdHZFFZjNabD6tnLVdjWqKu1glhvpysLemHLrgSNt45t2MJbB/vejzOoLsbcNVF7PuEIZlbmCOsGo+L1qG3QIyY1BCVNV3V5VPhfxMpbeIXwGHOPZN9xsTXJ91M3YgCap4w9oPm493HhD7pJKearpSVkmcDWhE0zlzQAoOhmi0S4D0VDZUqVXK+lFcKZ6nDp8a0u4a8X6cxbv7+lRJJIMswd7ZDinwZwJdnn/3F6v0OwJ8+8Nu/AuCvnKstbxzgzoGxtl4LcCdaIct0uXf4SLliQl0KPmuq+ZeTY4oabHI121wZd7BKufmhztxtYHWr2kdC6x1WArSOkByhccYwJ0BILCfs9LyH4/pHOiTvUXOxvfG3e6tr9mSvYPt41+Ojqx5PtlrJYd9HTQQOwDnGJgzYrrxqvknzDtTc4yo47RuLgfY1r1n3awauDKqZk8boJqZ5ejMlokDaG13T2USxHRJ2Q8R+iOgiMKRUtO68GmicTmCZLvCsE4+W3DnQfXUfz7HtBq116ZvbjNE8oU/G+ALov5X7kzcOcIER1JZ4XODFaIVsWb/+BW7kceu2FI4ZpjWKYIm3i0YldDHZq24P1XmcLXOVdqACFIDm2WWy3Acza+DEMT5VgDXuMKFD6mtLNmMlKOh0g+CqT3jeJTzd93h81eOjZ3s83vV4to/YdVG5U9JgiG3jsY9JYwwAMDdgUl/ewAzvzJPAJooMdLmbgcq4mZOtV6BrRXVKMAuDCoWQnVOGpLzzdlDqY9tH1XStz+vzZU1QQHAxWaFLncyWONY5mE18XwuFc32wCK5rtS+iDMwB9hDov4Xc+5M3DnBrUKsfHpm93pZWyDIJgiieCgc0XIwW9KzlMmUaQl2HyDRAwnWNV5fvQGc8bm/0AkGBVD0cGMkzgGggAThy8JwgYDP+0ARAGNXDL4JpfS6NoOIUIc6rcaZqU+F1k7ZnP0TsogLX0/2Ap/toGm5E1yet/gACO8IQLZk5Ke/cNg4r59ANCZ1PaBMjpanmmEGEOee2tVepwDZXKJYEToNG2Q1VmSED3ZiAfhipkN0QsR2yR0VEN6sjtPaM3QAQuYnr22QSmK1WRpCbcaez10MyroRGo+dtpPbyyNulDQs0x1v5ZOWNA1xgwXCWDSnI2sR1d7G5zMEPB7ePDF6ZabmwaClSTZZJE7VwNorlv+oQmiBGwW38jNBb5BeTBhGEzI0KIFI9aJPmyEJoLxR0LYJMQTcDnQYjZANWff3Zq6KPgm5I2HYR227Atkvouog4pDJBpQhsoRb+NphW2Sf0TcKQw4MrDa9Udyga+QgmVGfcsixiUoFu/h2RlJks8+ODabnaZuWi90MsxrLcBseELglW11YI4+RIGCcvzuBo3gyL/O2hqhrImvSLyxKdcBD0X2W8lQT0u/tuxUuTVy4O7xySB1st15MvXx+Qp8qEBjgyegmaWlDbgOK6xGy5AwjIJpNsDMs5Bbh6uLPGM0Qpxp1sgc+GtWgeBNkHtH6Aa8DMoGUXY69JNUV7T5K00gMwpkoErk0GmSPNrmyDGddiVOBLEYjGhSTzBBiKIXD0gS3torGtOR9u4FEzL77D5R6MfDOA4g5WA2O+ZzmsOpqRLHsq9ElK2+pgh7mxlQ30nWUzGz0paOI6RkRTf+IMwIc489kQepGw90InHDnOK20w+yaQNxJwgalxCrg+44+c2i2Pe+D9TULQLFcl+qdob/q9J4ZnNqCFVT1Q67zL/rY8+tQCo19prMBV6QOZLnkx8s8jiNUpGUfAIqACXV22cxpGoCHzhyWYN0QGn5xO8TrQTRpSNqmApx4rXysXYM/cbjm+rQQURGT50HliS7FMbkv4kvuqzmExXxERjROiIy37kz0W6omQYBFnNpaWxtVxOuHwN3Ljt9URDPRrDXdOL7yogvFWzidvJODWg66W+YPgmG4chHPQnoCtPfdEB2OHpm2SBEqxaEFZeyv+s/nBNveu7OrVsOWHJfVIYDZ3MMsZ6nm+bJwmgskhpzlogBcAob62Aro5Q1iK4BTV1YyhPr+m5eXikY3T9raO0XiGd6SlxongPMFZW5kJwetfXXwycE7NaNfvNNcCG+BlUCMisFxPRH7tKqyi78go0CSpzNhXU444a7HZDa0UuHR6HxoeK1IEa6dnLquWbKB0dH1pzwfphDwByOQ+3EbyNUzGwZxOILyQ5vxWzitvJIcLjMYpVEvMeXITXVpj0XiWH5RrInhhp3GSZG5aWiQRSc/sDVWyDTuyoHWE3rviIlYAMSZECwfW3LEKALmarlb0HkG9aIrV0pfqUjWZXGZfEoyTXWjmRclqcQXn1PjkCD5pouiVZ6w9Ye0dNq3DRRewbzWkdw+jNwRgR1g3Dhetx0XrsWk91o3DypP9OQ3iMMBTDd/ajBEwSiiy3bRaAxzvo9ViYwLSyI2XiY0ZjrIWrPl790NC8Fy6ZOVdmURWntHadvZxrvuWD4Dt2L3L3gmTnUxuDHbAMiDXeRzKfnMO+fqp3so9yJ0Al4j+cwD/OoAOwP8L4N8RkY/P0bC7Sh6c9SAttEJlLCPbYV79YR6PnmWZUjj0KCy0SxJYBImdJssRgkS13Adm9RllQfJc+MSaJnCkAJwlL8eDRZvlrF2ZA66Xv2XpO3moaSSJc1FLA1iy9yAGpQFsNIdq3ozBCy6CwzY4XLYe2z6gGwQxJRABW/NMACk4b1qPh6sGD1cBD1cel8HhsvHYBF8KSAZmLZdeaY2l8sOkCGO+cb60F4Aa0diVIAilQaRo+Vk7D47RpJGvdRbKnANLVt5h5RmboJWJN8GhtSxnuQRQMLD1N4At0Vhp+JDM1xtz/h04DMTFaMfTnpnTCcBrwt+KnD3w4VWSu2q4vwzgpyx87ucA/BSA/+juzbq7EKGEeNZGmdpbIX/mWCOp6tDR2kJ+2slOX64RFDxU0zUfqCgQUm60cRa5BC6AQFCNrGeNmsrt1AoLZCVqdEkfnHKhjJH/dcbvcRoqLdFUv9IjMtF2CzUhqVyfd40GViRCFMamBR6moH6sOSyWdDl+FYZS2ic4xqZxeLgKeO+ywcOVx4PW4UGr0We5gGSTy+w4Gl3B4gCaw1Jut8ynVVvRpAR2POacSEYXOEbDCZ0BpjjNYJazteVQ3tYz1gVsPdZBSwBlWqGxyhSO9Ix+AWyZyLwojo+NzCsvjpdac52Mo1ExmFMYtLTf0Va8lZctdwJcEfl71eavQRM/vDKyVHYlJzfBjFoooGsj95DBJUsNzMDtBzNBtV2JAmYtEU6F5lN9mwBQw8Ui7hklCCJr4xriq8veGqw0xwIrlQD9rfLIVSJFoTEjWA28VsK91hwJAqQIRo/gGkRHVkhStdyucRhiAtDCWbjxrvOaD5egFR8ajwcrj0etxzurgIetVutdOaUUGuOmc00riv3EyCCganLL3sUCrUpRaeUAIBEQX3hZx4wgCQMLGs9YiYNA8+T6NGY1Y1LwbD0rTRIcVg1jZWAbDGzrysLzBDLanaRc8pGSM9eoLFoO610ay0uKwRKdAFr47K3ci5yTw/13AfztQ18S0Y8D+HEA+OxnP3tot7PKEoUA2CDFnELIWaDG7VPl5qxhSz+QCjRgzvoegTWX11gBQUCUQKTA2TjGzhLC5IxWmcNtnGm5notlPS99sxGIzM2ruCcRA9ceTgJKpYfZch0CkggnuXIvNPtXEEQJI2hBNcR9TJpQHKpZrgNj4x0erjwetfq6CWOJnfxH5pZG5azKe+cE6NqFmWKwthYfYhRagZG0f0R9bx004m1VRaQFJxgsUo9Is39559A6Uq3Ws2m1Sndkg2X2YMhaOOx+GdqD0hHetpJTcifU1FfNW+eVSy3XvBMWPnsr9yNHAZeI/j6Ab1346qdF5O/aPj8Nzabz3xw6jmVh/yIAfN/3fd8nZi6dh/lm41ltUMty6oCcRJthyhef8OMRGOyViG3ZHEEc7CFiMAs4EpiS8bSC1hP6OObLzQAd5tqtuViVv6EzDwRd4gqAef2pkWaplutV5V7VnpJqus4jOBRqIQYgRm9aoxrT9uYvnCez1mnFh4vG4+HKaz0zHoE2GNjyTCvMYJvTRZLdq8TeKBJM2llohTiAXVM8D5JjJOTwXe2fxvyH87yj5YGA4CvvhJyVjVH48rxCoSFd802+ndQtxrX3ZS8D95TGIIs52NLsdfztWzrhVZGjgCsif/Km74no3wbwrwH4QXnF/E6WPBMAHZBpQcu9jRTGULLL1ZxhO/LLmttLEQIBkWplTB7M3hJdA44YPoomTnE0Zg8zxM1cbbbwN5XGGBxpwUWjBK5rXXoQASGxunIlEXCKIIkFlGvQBaDlbdgXN64mCTatg9jDHZygjxE5wjawuoKtvcNl47AORoE4Ll4JGcQmrSOagG1ucfYrTuzhyiSm94AAyEzLDfl3FV3j2VkJeT1unpyy10eowdYmMoaAo9ZBo7GRxzmoQ1J7KBzZlQmjh8yCxrqkyRZ3sNdFvZUEGt7cSLO7ein8CIC/AOBPiMjVORqUtRfgPHXPlmiFm7TcU+U6T0anHasYwTJ6VGW/zW0MNIDZI7gA553yjCwIFpIa2eL6J1o7LHgCZdnrmVRb1HCv8Zx1u0XxItlyveSYcF7BMw6gXO+r9iVV5VeBXhScIoB1YAABfojoI2FIKP7GgQnrXNOMR2u/dxZMMPMlFRASaeXelEbrfZneKLv/mQY3uQdZy+3BrjUvkNz3DEeWGczRYj/W2qwnTaTKqddJq54UiEZqxvJQ3EZ08riFwfXA4cs4X/j8XHRCPsarpVa9XnJXDvevA2gB/LItsX9NRP7cix4s+0XmAWhulHeSJW8F4G5a7pw+KCVrTmprtVOtmQ0dsnamBSEHuKTAyy7Ae8YghMaNYbQ5UioDULaaZ7B1EFDs1Y+2LswnBGI3toQ0ACRHrxWdlxjiG122p4i6iGRyfgQqqJbvBCVSDl5rmbV+7Km1t8CI4jkxRpZps6qMbMRIpl3HhOLtMOnBRCAWgFkrGVeiWu4AYg+XOoAbgMck7J7HhDTlGmjsw8x9syRw0j4swSD1WYghJBN++TYic1rnBdGM7LdzH/Fz0Qn1YTNvfQ6F6JtN7uql8F3naESt1VLltpSLA971xs6DIIA7armCUmpntJedWjSwph7sNfam5ZoWLkkfcOoBdnAxgF2AcwHinSWNGQsx5qMSoQQMUIral7FXagAAYsxk4EQTFFzPSpWPzQSIC1pNwTQ7Ic1CVuceqMHXsS7dk5NynGy447z6rnogmVErMEFcGNuQxvpuwHQcOB7JkQJa2XBWGSQl9iAX4GIH9gFOzWy2QpjesxIYQRoeTH2nfZcG9e6o3OPAHnDODHaV6ncLVVIOvN5WsnY7Dxs9F52Qf8424YAIQs6iFl+83d+Mcu+RZrVWO3VsR0lteNc1TNZm76rlHhq2t+dxTYsspKQtli38t/YiIGII9SCnVWbFeTgOSgEQK8eZJyuBGt4GW/bGzrjbVBnqbOmb3b9o/phOgU2NVJo1LANtqsA2ZwzTvLNiCWy0LlgXRwMPAXBOtWhHhEhW1JE0vWXjCH0SOLH7gqrkOK4PgTFBT3YOq9NkSrleAiCDGiMxCBwxmJ3BMVX3wYx1UScqRFsVxAjCCLRiniQaEKKTF4moMXGhL49J7aFwV+12DqznohMIme4ZxyuLVUs2bfdcwEsioP5t4MPZpQbarNVeGxcyTW34opJdauZw+KJa7tKeI61w5DjlYuZsJSbAqMA7jBxhUoBV0HVwHPTzDLr5iJIw4YVjXG7xgXbmB6e4OmWKZ5YKINcH680vuE/5vXom7CwjepcsSU8CclpwZgGLHoNThkrVcOfgkNJyCs3cg5I0bHjyeZ5covYfsQNSr382iU107EztpMEmqsE022qiykvzHO7MTnP9cnbUegGpPF1qg+CtDoFRu517LJyLTlhKLUnQEvUCgrAbgfcM5/ukhIjeg7qy/hEA/xTAvyEiHy3s9wUA/7Ft/qci8ov2eQOlVX8AOrh/WkT+x5vOea8a7kGgzd9jXKjf9UYuBTzkc5yNy524Jh2RbNWetMf6IvZjntdyDuNdmUHRQ2ivvCE71fGyK1cNIBN1nkYNbKaN5VJAqB6YEuFmfliqRcEq21ohRtNiM9h2cax11lnOh/H06iecWVMt9A4A6meMpLCby9fkJgPXLyN3/oSvzJ2Vd84AIQIMPYouTHlnjH2VEiC2KpjQB1NfYLADXNBjs8MLA205Jk+02hepZXZQuz0jnXBTLogcNZn57NfGG0LlJwH8ioj8LBH9pG1PImUNlP8TAJ+D3vB/RERfMmD+aQB/KCLfQzqLv3fshPcCuHl2PGlfc8A/h2k0p0RMswfYYSytvXSWpSE0KRiIW9AKRFA3Iq6s65l7vK6hUS4lYwOamCFgkHMQdgC5caBX2u6104pytYV0zgiqavHB5or9l+kDdRub1jYbZCzKmCsp9JYXN4ujXPp9pBhysjpCAhxDkkZ5pQwWGfQrDf7w47zQ7zbxFG4cMDCVkcbJXgeZTpA4TlilATwCrQvXziN5n1vqk0v36jaj/JB2C4za7TnohPr18D4aFPOaeTB8HqqdAsAvAviHuJ6a4F8B8Msi8g0AIKJfBvAjAP47aLDXPwcAIpIAfHDshPfO4R6VvLTF3fSJm+gDosx/Hj7HkraglRvqZaEoKB6rpJw1W2JAIuC8LVV5BASgPPSU4nh+cba0ZdV4iRV0nb4vC9wMALl9nA087rp2VvXxEt8tMnoJDJapbJBMK6BUT8hgm6Ph+qjcbk6zOCSBeAeQgCmVlIjafwkNE3oyFyw6Al8GyiNoLU6LescrbjxrhLodLfzWePNkLnR5dUAM+KbQDHBWUaIY6WbnvgW4CRQUc4WJFxnbx7TbcyWrmQeiHGvTJyyfIqKvVttftCCrU+QzIvJ79v73AXxmYZ/vAPDb1fbXAHwHEb1j23+ZiH4AmrzrJ0TkD2464asPuMiDCnddwR00nuXvgOtZw+rvZu6r1waX2E5FcTzYENMy2UFsKSsgpQfSoKAoOR9tUv/XWK8ISB9+51X7YwexvAF52VuOuegber31uY/1F9fLD+WAiGgJasTeazHJDLSx0AldkuJlwCSIRIgJAGLxpnCs0VLONOhegJZz4h7rouoe1C1euifTb1AoEqq52GEPzhpu6vXEZiTL+0hKIGYACr4SWuTBVyY4QO9B7vP5uY/KOFGPzT19gN+o3ebXM6Cf5oT4BNVWSaB+e5tffCAinzv05U2RspPTigjRaY6dJh7AdwL430TkzxPRnwfwXwD4t4796JWWWoe4623PWu5SLbNMLeSy3nPQPaQt1ApGoRVOsfJlGoFM83QeFHulGWq/UkLhI2UYYOSlam6xV7olNOYn60eAcWbYMXAl5CVs1sZG7ZcA42qvu0ld81gwrSxmPlcwltUxb4XRgJYq2kWw9owuAkyp5CII2SdXdDCmpL9hRxOw5TmoHDIIFT89HTFU6AGY9VuKUUziYP7PgAw9kPuXWcuth2YE6orFlDqnQ+Yu87lPFKn8zfU4t5N8J5fAdslF7EWkIszOcLT7kZsiZYnoD4jo20Tk94jo2wD84cJuv4ORdgAUZP8hgA8BXAH4n+zz/wHAjx1rz2tR8eHuJrP6WIcf1qx5ATPNaml/AWjhARMRjY6a7qqLW6quJIMfOwjYXglwAZLfs586xuelboqQvlMATgOw1yA/SoMlC7d9tEGYTFsuBy9MgYJyCaB5P5T5Y6FKhMDAV0phxj5qfbBccnxICTEpaGn1YdWQo0hx/RJJEEixco/tGOuElW5Dtu8tpWvEqG3mLGi59y2smSxkWQG2g8QBsr0C+m7s3xjHCdPaIs6Nxya9N3oee72lS9ixgIeboJtv2KcYy97KKfIlAF+w918A8HcX9vkKgB8moneJ6F0APwzgK5bG4H/GCMY/COA3j53wtQDcczLxBTwOjOgabHJW/6UBfJjrRfEdzfsl858V9hAXEE0TLY3wjW77xvxqGfBh1KRyMMC80ZIgvWUA67Z6jAy0VQuF2azsVYDATCsjjC54S6Cbq0UIDnuVCEZel4hKvbUMrIOBv2C0W43sMco7BdWx5A3RGAWWE23Pk32PXhqoWkiqqQLjGEqDnjP2StX0GuEncYAMPaRErNkxLMQZIPUJZ49M6eSJEhVXforI/FWm27XMj5onomvXn78nOovvbT7Zi9T9e43kZwH8EBH9PwD+pG2DiD5HRD8PAGYs+8sAft3+fiYb0KAGtr9ERP8YSiX8h8dO+MpTCoANulOW6SdKdhE76JVg9EL9waEBPGdDR+OZU03KgC37k2YwS+y1PleCalYcIKlXGiBb17N1HABiD/IB0nfXWiAxgpwr7krK31ZuX0CV3lCjhJZ4R04zZ3b7PorAkXoiOCIIY1rWHeMrV9hTUzMKWdNOzL/R91RWDLkyRV08czzG9fuhxjOt7qC8jlPN34ySud8zJyyZD9cSx+pPm89hKwBq2lGT5aCvxDoJVhNkuZBbCU0MZvn65y5hS1rvvJzO5Hs6r7HsPoBWJCFtn39C55IPoZrp/POvAvj3qu1fAPALC/v9MwD/8m3O+VoA7svgkI4FVNxlzI7GM9WwsgEof1fcXtlDEEFR1DlfRE30kgAEA17NiYuwBrorUGgWQLdclFK+xID5uUrOmWDgMAHbmd8kAcWnMjuzkwgoEQaIhucmQczmOMrGr7HKsGdCtFptzqKw8hlKYnH7LQNjRV7krGdalDEHQRSQueF+ZO68uNnlPL6FCx+RfQZpgHHmApihDECz0u/CSqkedqrduqDbRArC1odCdp9tcp1HTF6TQ/aA2S7zTHc5Cbk/8PtT+uq2ck467628NpTCeQ+Xl8t3jcQ5xJWVJaJZsZd20xwEqo0l3xh/a5ytaxQYnVdtynmlA5o1AFJjTlWXnJwzrY/HrsrWfgsBBqBab26TAUT5y30Dfcic5WEANCQ3WIUDXc6OZd2ZYHXUaCxmSYSVJdDJ2lhraRhbN1b7LakZ2dJQ8lh+ncpxYYUarxvOSn/bvUhl+Q+95jzZkGr1Be5rvjf3nfUTrS+0P5u1gW3Q/A7GrcMFgPy4WmBWyqjiZFOmjA7IPHfFoX2LVp61Wlwv5VP2pfE3Z5W3eHtWeU003Jcj5wgbPnhsPcHND56MbmrJN+BhD3INBB3IN5BBSU7yIx2Bdg3kZOK1sIewcrMEIHGoDD5hpuUykgsTo58Ig2VaEqZovBYOqwloxPxyray7IwRhtNkQpgQpKDJYBI0bh1jrqkTp9ucKsLIVvlQQD1zVNKuS5hxKZpTEEtqwenvABWDYGw3gjWaBAmv29HDmuSFT0EVotT9dgPhmArZ5IhSQTYSWPjLb2ADwoZkh9zWdpjcSAb7yKrlJc30Z2u1bOb980wJu5mlv4nJPkZuMZ6ccs6YYkm/BsatAtx0NQN5Y0DToXfON+Y6KXYxpri7ofmSgmzW6XJGXHJLtW+cpIDJtOE7DOAkAJGnlW/ZIolqoAEiiFRSSA2IkRDcWvWRKJYWkbo/J0VfBYRUcGquC62jM0pVTIxLhWvFIkaRZyw5Mkjp5mUuX+SGTCyiuXcVtblDaoN/bsc2IaL7NOnn5EWyd11WH0QoCQvJN8U2u2zLxQjlgbD2Fr60Pc0xemnYL4K2Ke175pgVcwIxXC7ly70NSBl3XgGNvoNuDPDQSOBoMRkbJ/+rGh0xAChAAxLfIhhnxpt0a2BSwnV2vThCi3G3mIMXY5+J5EeGZERPGahTQuSBYWXddAo8+vFmDzyXWG6dVH1o/JiEPjqdJ0wnaB1XimHw9wLjUrtue7yERkFzQ1QJ7DW7ILnaARu35FjR0oNBa35mYNgzzKIFTOidTCtlNL5khM94YEDBvZf35rP03HOUUucmQdnf5hFXmlCC7s9QyeCXl9QDcl3jPvbkvnSPv7m1lrgWLWC5Z30DiMHpnAChaGDFIHIQ0Mupak10AaNR0lcs0kPUKMDl/7dSDQLfdPHCjeqUEiIEjkWnn0IQ0ktsIWCivFmZMSfPF5jI6rc/8bVXxgfSvGM9KDomqYxbQRKmN0afK2VJdg08ctL7kUOgZShESWlC/1z6GRvKNaS65gO0EeH2rPLd9VlMItxZayj384gMv+ySfyzPhrbxceT0A9yUibrYGZ871k5RBqnyxeXmaCEwC5zwSM3igcZmczLglxjVmfjNHiRWnf28EYDNqt8TFFSlrouVBt0nHmzFHyIGlsrRbdjESrXWGXF2Y1ODlZQq6/3971xoz3VWVn2ef+YomCEJasaFfhEQMIeKFNMSEGI3lUrGx/DJBJTVQ0UQTMChBMPqXpEb8ZI2GNwAAGslJREFU4YU0xKSJNYpBU0KwWBoTMdFqrVRFxRKDWGyBqoQGQb539vLHXmvvdc6c21zemXnn3U/yfTNz5lz22e+cZ6/97HUJy5Rq8VoUiCTry6o7WMWHRZYQmBfFFgQCYslFYQmONHmRLYiZDGNka/r2Uv18KQJpFghnS7C5Dliqlru4Djz7WiJdzZkgAeloy0sRFkWvDY0uYIaWhGDlfqx/1uG66BbXPDbn7/O0bjFsqFdshAtBuC1yOAcQlohmf1Zu0m2dBmiLZ1KqKDRMWmFY+vR3QWP/0zAhsR0VJc2V7BoFdV9KUsIVQFJIrgAt7ZEi6lZVFp+SZ4MxSztqC7CKCymvrbmHLYgkczAFazWBmRSLFwNzGR6TEszflgR4piSrskb3z+H1TxtArFWBSrox1UlDSEmBhAFcXAecJcuWUf2jRZQ1g3P3WqwskMWQygmdaR4Jtohf0KBvsapfv+3/ZjPsw7o96bCHA+BiEO4GmfTXgS2gLc/Ra2EIrQUXsUWV9Hotqu+r5kXAUjOExSYlIo9LgN06WyonhKb43DJV410uJft1dhd6rHgks5WrXgu06hCSPSCcx2sOhACSphmUeCUkgeG6XPVXVJ9NxRwtii9ZyhowgbJgV+7HrQhl97a2dWswHdyIMOvRzXWQs/8DF88AlmfaW1LOb0Rri4tKulmrFWi599QWH8Qy6JEw8BvqLpht+ltLHoH9yWt2BW/FV+wGR0+4u7YKhuClheUOGbcJHKxaMASbLieLLb1fkKBaZ2QAQkqWDYmgLnj5J080Si0vlEnKXeCLRXavSWchNkGj4eIZSuJu3ddZdGTxj210inCNqUS7v04IadFroURhxRrNOiuLdIkM85EuIi6qVSpSrNuV+0DJu9sE9fxQspXltWSBO1e1TO95gArJ95bMtdaMaLv9lomdxZ+bnTO34AaM1uYer4UpmO5+rtKtINXuwx6JN+4v0uwQOHrCtdXpvodr91daX1oY+yHm5a7QT3JdmIVre0YBAlI9sWs6dVxo5JMRb66nZR4FzgUMSNYuSa1BNt4Gi9jy70VTRdq9CJmt5XyfTCTZEJBALDRf7qIhoquxmIIbSjIaHwacXt2CnbsHmIbN9uDVdzd+4GAkmoaFdJsr8BF8dvG0YNZAmpQ0KIqRa/r+rHWvo11Ywmv72obVBbNNYP133iSYW3oMbjwngqMn3Gghr3uAlxZ2oue6J6LvN9sNvDCy9YtZZyKA6qFWmjrpoFrxQbTESae0j9CSrTSZaKcGLrv20hovghACouhClJKtOGtZorSjptT6bKC5cFUqbQh4t67W/oEqB1CtxdDSpUHm38FKH/Xdhw4WKf1uGrDi4hkpI5pfZNRIMWtRqRCcBgrLamZ9l4i0k72sh4H76tqJ/U1G+n4OiD0slDnYImoj8yq0VIzjqAnXlMl9jq1GuhFJU9yW63PKQbTvQ43C1nYjklgOLi5bKi0Y8S6VoAKZEo6zHXdvBCG6qt6nefa3t23l2uBjHgLm5WCLbvZq17cBJOmLad8+YkjtA6L2cVQiyzKGl0c6s5ypYoUmKwSmv6NYrcecwEfPIcgLlEbgdm99i2Plffue/O2RHKz4sYl0sHqO818o88gzHfiqyBWb4mgJV6DWLfY/myEBivMiGNxv4kev1ltYXuuNkApm8YxZa/rPksB0iVcCcaaVcZMOjWSc2uq92ELcPFnGW7mWJMUf5snWZtpLJSzz7zXCS9ct56W2JyIFTES9Rjq/0101FJeS9IjIYt3OhQ0GtrhUJJDVQclIN5dl12sNSTB2L0Z+dpP2ubdyM0PvQLHOPWWtnPsL4bXfQysg5lwvuIR8tWq4e0Ui2/6IqH3B9FyzRAdJd+751Je1ZeW6a0jH2u3CiBeqDxrxBp2uayCrWnQDU9qZbfXkmAlT2uco7mWFYP17I3uzcJNEU4pQxhghusouTG5iS0hesEuJZ5p88U1+B9ka1c7NOrSSvjg3L7NgzzoXGiM2dvZZXTgrGPK/nQsbOPYlJXjkKEhNKWozr4r1cVSEm3SupkxfDziD6bqKdUm3a930wdlSKba/k3ylKytkfc5ZQiK6Uu7Oa2kTjcQEaapqKQ8ZHLlg/RmClxUAl9kMhUTNyj1TDfcs2r6FHO3VkzUhOQrtSmi/Lli8JEgZHYDGvuvei++DllRgbRVp3aP/3vyD7Zqt1453Aklwuap1+r/lpjBpaSIvzrkhu9yFRZI0OmXkK+bhYISrP+00/QXzKrRNu/YtI/ShtYgW2olKutbN5LkABFlq5qpCqN1k6JZh399+cP2Sp+U67W8c+Qo0ei1ubgl1p8pmtQIlJNj0YKvscKaD0lJrndm+HvbALgUwR6NljEm2UU+GqF4F+T4H2pj7bERj99KGJ1DAWeMdGQFwU2ikwWsZJQVRWJu0X7pBB1lO6HUH44rGvg725ZUwhaizBRIa1dio/7Y4q/cIHtwjxkEIVwCN9dfP9iCs6a+6DxjpCkxzLQ9oM5ttVTOQUsYmE7fqrdQpbzfMOJOdvtp3fjEtW2IwnVfyAs0cvc+Ts783spw/W6u6j0VdWairb2OxbJ2Nr+TdhLSfySJGwgsiDzzp3obb3dLYB0h36YjW6/AiJYjBE/Cc352f0rfe23cDGqdp0JvgELrtGLIxZARr/6k3Sa2nNo6DWbjHSK5DsIdKBFnumJt7tFseJpexcdJCmmJLJpJoOi3acoPvrzxFl7KYFjUyLZ0nbV/KUOgpWuRh1hqRFvr8Pv660Q0EdhxpYa9++iyZ9FL4a/FMSNKRI3O9UhRBEOYw47Hute/6SFfECL5NtOLaN5dkzYINKBbtoHXbQzbSeV0Hx0a2XYj+l+9tB2QrMZ70otnBKj5cFLL1sMUf77A/+0B7C6QEMHBTRRYXL7JdjaJMVfshQC7SSCTrLU+ndZ+lrFqBgcjEFoCcFrF7X9l667lwd9XdW+5ZdoiFoIGyEJctfRTrNxPyjAc3W5Yo6Ql9n3SvufQWOaZ/f/m+neVvZOsLNdr3IS4H/kbM9zV0ncH74w4LQlasgORzST5A8jF9fc7AfveT/CLJD3W230vykyT/keTvkLzSd7zHxSixc4GRLNH2E0OI5iloL8iIFPeu6Ei2CcXKGrtOJthYCDYHKLSuX0j0Shh/oD05boOufjlGeF13Oxvoms6gUGYeq+3rlrCxPpg70BuZk8W67RsAA7XE/MCZZeY02zc/sAwih1okuyR4B4AHReRFAB7Uz324C6kqbxf3AngxgJcC+Hq4wpNDqIS7J6w8chIBXTSyB9mXJTcfWEtOYrkIpp6/PoJdqf46YDXbAx7YJgBvcQc3QvRGWelr0GMabbc/TqTfsmtpvvk8SnyS8tn6dtq99NWn822L6kkxl2ztoTCyBUoaSXtvg4AvAbRyP8Bk4iU/oFnfd++x4txwO4B79P09AF7Xt5OIPAjg6Z7tHxYFgL8GcNPUBY/KLewkIW1N1EAAkGUKmzUSYolyC0GAqB4SeoCFv07pjxZFFRpHOtKOTupOVbtNzKXSVUzNC3s69Q/qJREAaF1cJxesEmorSQ2KfGCEY25oKRRYdGVfj43LbEE2Wjonhibr4HTt21ZGzAQbinxAbZfPzpXzQUwEA8wJOLHE6fY3sgH4UmL95DXXk3zYfb5bRO6eeezzROQJff8kgOetc2GDSglvAPCWqX0r4Z4z8qPWwwbE6iKakVoggQ7pCtMJzU2s367qb0PX+utOYYE2eQgACYvkDheltbBnPr9nmo7RXhtIXuhLfgZtlEWgYsEVnbJUpjWtNJApSQ+6/SYr/eaj9oieGcUMdMm2nT6yEGHpryHd1hranx1sZTeW+65YG0+JyM1DX5L8KIBv7vnqXf6DiAjJTYfr3wLw5yLysakdK+HuAaJmYp/O10u6+l0w9lVf4IZAZPGH1Uy1vQ+0f3hbZLuyn752LDXfrkwISmXmB9uE1JZFSIEPDc3bobgPGdnbAlMiMLavzeLaBrf/2HSdAILEnMDHSNaTrb1P1joGzV8jemCVbEM+XtxCWf9A0IWlk6w4HETklUPfkfwcyRtF5AmSNwL4/LrnJ/krAG4A8FNz9q8a7p4wpuUZuQHFAyJbe4EIwZEUygKSEUyjU137B/R4G7Q01I7FOBAxtNIu3Z7douBcpULRU60NISRSDrohwOmfoXhmGMFlArbpux8Esl+X9/+KWf/0WmhXoyZKe/22TKhqHfscvYVskf2Src3Q8jxj2MYdrGJv+CCAO/T9HQDuW+dgkncCeA2A14tM/CAUlXD3gDkP3yjpsp90rTxNtrqUwHw4KtCWEIqG6r4bscJSu5Z6bmsLlYBS2RwgJaMxmaChEhfKP6tfZsSdFwWNZLUtjbU16iAgglREzP+T3DZK22MA7n1OB0nn6aHXKF4ALH1ZxqTUZt3QJts4OEB1e27MHaziKPBuAK8i+RiAV+pnkLyZ5PtsJ5IfA/CHAG4h+TjJ1+hX70XSff+S5MdJ/vLUBXciKZB8G4BfBXCDiDy1i3OeFAYWzrroygtpISV9F0hQNV1ffDKa5Tlw+mzdeYmhs4A1ZYcRluQFOTCjCSkxt1nbUQiJMfm4ShkcVvXjQra5lhmKJWkLfTnFoahoYkQbmvSejbYtItWSN7ctumAQF0DClBC9RYAmEaDo4p5co6RKG22yndBtrUc1O1jFepAYcfa/X93PtUT+C8AtPdsfhnPxEpHvHTh+bf7c2sIleRXAqwF8ZttznSpaC2cTaFm6wR52rzEm31nvruSnyivnyotS1oRp17I+dK1ckoU4aVZkaFXhtTYAJoMksmW2kt1U31u3dpwj2+zrGj0Ro2Xtpo9FVvAzAm/Z28KXWeE2kyhtZ7bCvYwwm2yB0WTjFZcXu5AU3gPg7ahy1SiSH+i87s6kG5dO4ywE0jhd10+nG5suo3xn/9DzuuYdqLuWs5pDId/iLuXkhqb8MxkCMDIsJGvWrUkjFonnOm+0r3K72CMlZOmi9I9JCq3tqjcDXid3nhJrZcaqckJFP7aSFEjeDuCzIvLoVDJukm8G8GYAuHr16jaXvZAQANCHcM6Dm/TJmGbSltYRJZEOkQhBsptYuQ4dmbS13OLjui4Scau3BZPHQvRTd5brL6V4LJRrsyTZoden0SLsdsateUtP1HuyfvF16cjUZ92zUDsk6+V+gKKz0Jdnk94IXVQ5oWIIk4Q74cf2TiQ5YRLqjHw3ALzsZS+7dL9GEahzP7HOZIASEUSyo7/QAgtK2kgRcdv70SW2jW/C6b9poU5KCksktzXzoACKOxVYBoDsSYH2ILBqgVtfpVcBUKr4uj7yOi7bdelWSNZdFygDgfWLWckislGFgyonbAeJgmtf/sqhm3FumCTcIT82ki8F8EIAZt3eBOARki8XkSd32soTQSaWNa0fc/QXNmAIEA0wWKhla5FeRr5A2xcV7v3GZItV1zafw8CnlTQLtm81L2vRzvoeTNBCZczQQLRiRt7uD5B22ksj3Ry91bNg2c2O1uqbuEy5LuZ0ykqbS3XhioouNpYUROQfAHyTfSb5aQA3Vy+FYSRZIUA2eJiTxLCELJOzf67ii0K8Jif4xDdAO0qqe1Kz7ma13b2yY6jnqTwwGgHXbcvkIp4FD3iy7SHxbgmjIlu05YR8JJ20QWfpblG3S1CDHSrGUSPN9ohNZQUPs3bBAGFoEa9fQJt3rnkQlBpzQ1xiVqWvXtGFD5TovY4Uo9YTY8t0HYAvYWSDjx0OtO+1T1IwrXaLCQBssaxatxVD2BnhisgLdnWuU4ZIqoDaxNXaV3NBAJCY6kp1iHckgrX/XDMipqRnmpz4r132m0waXN9wYprvmIYsUP2UYbVdU4uycD7Mob1g1z6NWrwaNswYd+Kqkwal9asLV1wuVAt3zzArtxsQsAlaxAtCQjOo5fo5tZHfWK4COyTlUljNUDbkPzBU+p1QkuvTU1H6QlQ+2FR2aeJZslPVMjabNdXd0gFGz71t/3evXq3b7SEx4tqX9xP4cAhUwt0zkgUqkLDYysr1MJUykY1uMUvR9gnFsgMw6VvqZYRuOSSR1YTivi1DlNMnJXTd1FoluTfUUwktd7MO9/Xdz0xpplq3FXNRCfcAyFNn7NrKKuSbCCfm6xnmLpBlsu1hEFucW/Z8uS7hmDUsKJ4KeRbQJy3sEjmSLbekDa66oPWC1bqtmIdKuAdAMr62sHK71tgMfXP2qTFBtiPWbdmn//tuEnQ7X1diMXcuagDBTrxac5sGCDYnxZFEtOtYt6zWbcU8VMI9EArR9OfJHT2wa/UlfzO/9L5V28astVHrVoar4ebwhR5nA1vsY8fKJdNUfSNpYYpgAc3LkEWY3M4+17PBy6gVXI3bijk4ScJl982act4+ULTcDQnF5xsITTpjju/dhnzbfqsrl52wbm0xbui7PhR3uaHta7jRifXDiAWLETpt+ftOXAoEwsUI4/V3c8ytlWXEWV00O05YIFPLx9K5/eRtG7pMnTeiaJ5WhlWrdQqhAU2O6CyWoeV8z7J9S/h8DaP7zdzmv0vhyavlzs1rIadrHL1wbP+B1YKd72+sfTejv1oLZUf0m/IogR3D99IdLGTwA6aN/iM0bI4NByPcUnV1OyLIq+5q4VEtHD8pTNPEkB5cHtf0z7TK2aGkNt21haaWxSZKABoGoYSgy3QzSbecr6+bur63u8TQWcWiIUYPdmS7YQ6EnKdhjnV7xFJCK7BDIhh7LP7WoMLUx+gYL51Zx5QlzxH/54qEg1q4lJhKdvU/2j3buiZWm1gHr6PXEpcE5lgelKJVruMGpXQYGkhvkUUAEEg8QyFeJeGJst2pTbLWLL57bF94r0WZjZFZ3/ezPDmyjIAtyFYfBU4PTMLjlRK8H/b476kYJvaxZ48Wpn45s/5WlxwHIVxzUB/H7n/MfdVejwFZq5wrLZAAdN8B0gU6xBsWbhV++LGge+2VBkbIOGUCSy0JbvHMprXe8poNUcsJMx7mjciWzrKdQbZwXglH8vsxGNlGST7Z25LfZur/djj1bGGXrqYZUaoX7EDW3AnMDSoyzFccTasFEum6xC0ruwKADXAzWGKwUq5NU0eODSw/Kqs2YcdMVRnqzbEwqzvWZ7409GxAtiMuc4eGpbrcBdleBpB8LskHSD6mr88Z2O9+kl8k+aHO9ltIPqL1zP6C5LdOXfPSES6geq9WUzgW5BlxaObTRyZdfQ2LQcIuW+cQrgxq676iwlizfCVhKx45fsy41LDLv1SWEIKWvpxJtses2w6Vu68YxTsAPCgiLwLwoH7uw10A3tCz/bcB/JiIfBeA3wPwS1MXvJSECxRNd0Ztx70hZtJdrEe6IbStXSVeWyrJ1lw6YMZJS37ZlcsBs/rNknx1U9f27rtGy0bPMNFviTSD02tnNhDQAS0cnYwAVLLdArcDuEff3wPgdX07iciDAJ7u+wrAs/T9swH859QFL7Rb2DZI0sIJ6LkG03XNH7enMkLZb+JU7nVlbdvptENpGNeFTYX7Etus67mBsIC4gIZCxr4/1iBapMEqatTbkfxMMiyXb0oveSlxPcmH3ee7tbrMHDxPRJ7Q908ilTxfB3cC+DDJrwD4EoDvmTrg0hIuoKQrKaH3rshjW5iem1zF1gxrzRFSdoy4pWO6faZh/dJn0jG3cXu/ZmtOM9KuWX1A9Y2YHGzmEy2gZKvnO0brNunzcTfhz0eADbKFPSUiNw99OVEirFxXREiu24k/B+C1IvIQyV8A8Gtw5dX7cKkJFwAgESJhJ+SxK2wd1ur8Kzc2e0Y6w5KNW92wTWcHaSFthvfC3PMzdHZ2vg0b6PU5uAHHMwPyyL7sc4JCLimGSoQBAMnPkbxRRJ4geSOAz889L8kbAHyniDykm/4AwP1Tx11aDddg0gKw0TN5bthIz90phnVcoCyMAdPeB73Ho/iLTh++ppWf/4W1pIPuFY/dI8FKyh/Rz/ai4YMA7tD3dwC4b41j/wfAs0l+m35+FYB/njroIBbusf1+CazUxDoGWG7YJRdYyG5y585FfohHOmQbSzdF/AkWM9zzDkEoy7BQ6eQAF58Bk3UONRyfCN4N4P0k3wTg3wH8CACQvBnAT4vInfr5YwBeDOCZJB8H8CYR+QjJnwTwAZIRiYDfOHVBHiJahuQXkG7wPHE9gIte0PIU7gGo93FM2Mc9fIuI3LDJgSTvR2rjXDwlIrducq1D4CCEuw+QfHhMTL8IOIV7AOp9HBNO4R4uMi69hltRUVGxL1TCraioqNgTTplw5zo/HzNO4R6Aeh/HhFO4hwuLk9VwKyoqKo4Np2zhVlRUVBwVKuFWVFRU7AmXgnBJvo2kkFzHv+8oQPIukv9C8u9J/jHJbzx0m+aC5K0kP0nyUySHUt8dNUheJflnJP+J5CdIvuXQbdoUJBuSf9fN61qxP5w84ZK8CuDVAD5z6LZsiAcAfLuIfAeAfwXwiwduzyyQbAD8JoAfBPASAK8n+ZLDtmojnAF4m4i8BCkb1M9c0PsAgLdgRvhpxfnh5AkXwHsAvB3HF1E8CyLypyI5rvevANx0yPasgZcD+JSI/JuIfA3A7yPlH71QEJEnROQRff80EmE9/7CtWh8kbwLwQwDed+i2XGacNOGSvB3AZ0Xk0UO3ZUd4I4A/OXQjZuL5AP7DfX4cF5CoPEi+AMB3A3hofM+jxK8jGR5rJFmu2DUufHrGiXyX70SSE44aY/cgIvfpPu9Cmt7eu8+2VSSQfCaADwB4q4h86dDtWQckbwPweRH5W5Lff+j2XGZceMIdyndJ8qUAXgjgUa2XdROAR0i+XESe3GMTJzGWsxMASP4EgNsA3CIXx3H6swCuus836bYLB5JXkMj2XhH5o0O3ZwO8AsAPk3wtgK8D8CySvysiP37gdl06XJrAB5KfBnCziFyobE8kb0XKJP99IvKFQ7dnLkgukBb5bkEi2r8B8KMi8omDNmxNMI3W9wD4bxF566Hbsy3Uwv15Ebnt0G25jDhpDfdE8BsAvgHAA1qO+b2HbtAc6ELfzwL4CNJC0/svGtkqXoFUsfUHtP8/rpZiRcXauDQWbkVFRcWhUS3cioqKij2hEm5FRUXFnlAJt6KiomJPqIRbUVFRsSdUwq2oqKjYEyrhVlRUVOwJlXArKioq9oT/B5WXf/C+TIRIAAAAAElFTkSuQmCC\n", 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" ] @@ -307,7 +315,7 @@ }, { "cell_type": "code", - "execution_count": 209, + "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2020-01-20T20:45:56.313743Z", @@ -317,7 +325,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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Tzitrin, J. E. Bourassa, N. C. Menicucci, and K. K Sabapathy." + "For more on GKP states, including the notation and terminology, see \"Towards practical qubit computation using approximate error-correcting grid states\" [arXiv:1910.03673](https://arxiv.org/abs/1910.03673) by I. Tzitrin, J. E. Bourassa, N. C. Menicucci, and K. K Sabapathy and the blog post [Riding bosonic qubits towards fault-tolerant quantum computation](https://medium.com/xanaduai/riding-bosonic-qubits-towards-fault-tolerant-quantum-computation-95b92c78cb43).\n", + "\n" ] }, { @@ -342,13 +343,6 @@ "plt.xlabel(r\"q\")\n", "plt.show()" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From 04cf87aa1d00d680d91c36616f2427294fe8250c Mon Sep 17 00:00:00 2001 From: ilan-tz <57886357+ilan-tz@users.noreply.github.com> Date: Mon, 20 Jan 2020 16:46:34 -0500 Subject: [PATCH 4/4] Update ACKNOWLEDGEMENTS.md Add Ilan and Eli to acknowledgement list. --- .github/ACKNOWLEDGMENTS.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/.github/ACKNOWLEDGMENTS.md b/.github/ACKNOWLEDGMENTS.md index 67a5ec847..d00f565d4 100644 --- a/.github/ACKNOWLEDGMENTS.md +++ b/.github/ACKNOWLEDGMENTS.md @@ -30,6 +30,6 @@ * [Trevor Vincent](https://github.com/trevor-vincent) (Xanadu) - :apple: master of gravitation -* [Ilan Tzitrin](https://github.com/ilan-tz) (organization) emoji title +* [Ilan Tzitrin](https://github.com/ilan-tz) (Xanadu, University of Toronto) 🚞 local optimist -* [J. Eli Bourassa](https://github.com/elib20) (organization) emoji title +* [J. Eli Bourassa](https://github.com/elib20) (Xanadu, University of Toronto) 🏄 GKP surfer