{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Inefficient photon detection: Mixing stochastic and deterministic master equations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Copyright (C) 2011 and later, Paul D. Nation & Robert J. Johansson" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from qutip import *\n", "from qutip.expect import expect_rho_vec" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from matplotlib import rcParams\n", "rcParams['font.family'] = 'STIXGeneral'\n", "rcParams['mathtext.fontset'] = 'stix'\n", "rcParams['font.size'] = '14'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Direct photo-detection" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we follow an example from Wiseman and Milburn, *Quantum measurement and control*, section. 4.8.1.\n", "\n", "Consider cavity that leaks photons with a rate $\\kappa$. The dissipated photons are detected with an inefficient photon detector,\n", "with photon-detection efficiency $\\eta$. The master equation describing this scenario, where a separate dissipation channel has been added for detections and missed detections, is\n", "\n", "$\\dot\\rho = -i[H, \\rho] + \\mathcal{D}[\\sqrt{1-\\eta} \\sqrt{\\kappa} a] + \\mathcal{D}[\\sqrt{\\eta} \\sqrt{\\kappa}a]$\n", "\n", "To describe the photon measurement stochastically, we can unravelling only the dissipation term that corresponds to detections, and leaving the missed detections as a deterministic dissipation term, we obtain [Eq. (4.235) in W&M]\n", "\n", "$d\\rho = \\mathcal{H}[-iH -\\eta\\frac{1}{2}a^\\dagger a] \\rho dt + \\mathcal{D}[\\sqrt{1-\\eta} a] \\rho dt + \\mathcal{G}[\\sqrt{\\eta}a] \\rho dN(t)$\n", "\n", "or\n", "\n", "$d\\rho = -i[H, \\rho] dt + \\mathcal{D}[\\sqrt{1-\\eta} a] \\rho dt -\\mathcal{H}[\\eta\\frac{1}{2}a^\\dagger a] \\rho dt + \\mathcal{G}[\\sqrt{\\eta}a] \\rho dN(t)$\n", "\n", "where\n", "\n", "$\\displaystyle \\mathcal{G}[A] \\rho = \\frac{A\\rho A^\\dagger}{\\mathrm{Tr}[A\\rho A^\\dagger]} - \\rho$\n", "\n", "$\\displaystyle \\mathcal{H}[A] \\rho = A\\rho + \\rho A^\\dagger - \\mathrm{Tr}[A\\rho + \\rho A^\\dagger] \\rho $\n", "\n", "and $dN(t)$ is a Poisson distributed increment with $E[dN(t)] = \\eta \\langle a^\\dagger a\\rangle (t)$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Formulation in QuTiP\n", "\n", "In QuTiP, the photocurrent stochastic master equation is written in the form:\n", "\n", "$\\displaystyle d\\rho(t) = -i[H, \\rho] dt + \\mathcal{D}[B] \\rho dt \n", "- \\frac{1}{2}\\mathcal{H}[A^\\dagger A] \\rho(t) dt \n", "+ \\mathcal{G}[A]\\rho(t) d\\xi$\n", "\n", "where the first two term gives the deterministic master equation (Lindblad form with collapse operator $B$ (c_ops)) and $A$ the stochastic collapse operator (sc_ops). \n", "\n", "Here $A = \\sqrt{\\eta\\gamma} a$ and $B = \\sqrt{(1-\\eta)\\gamma} $a." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "N = 15\n", "w0 = 0.5 * 2 * np.pi\n", "times = np.linspace(0, 15, 150)\n", "dt = times[1] - times[0]\n", "gamma = 0.1" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "a = destroy(N)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "H = w0 * a.dag() * a" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "rho0 = fock(N, 5)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "e_ops = [a.dag() * a, a + a.dag()]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Highly efficient detection" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "eta = 0.7\n", "c_ops = [np.sqrt(1-eta) * np.sqrt(gamma) * a] # collapse operator B\n", "sc_ops = [np.sqrt(eta) * np.sqrt(gamma) * a] # stochastic collapse operator A" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "result_ref = mesolve(H, rho0, times, c_ops+sc_ops, e_ops)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total run time: 1.22s\n" ] } ], "source": [ "result1 = photocurrent_mesolve(H, rho0, times, c_ops=c_ops, sc_ops=sc_ops, e_ops=e_ops, \n", " ntraj=1, nsubsteps=100, store_measurement=True)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 1.64s. Est. time left: 00:00:00:14\n", "20.0%. Run time: 3.66s. Est. time left: 00:00:00:14\n", "30.0%. Run time: 5.50s. Est. time left: 00:00:00:12\n", "40.0%. Run time: 7.16s. Est. time left: 00:00:00:10\n", "50.0%. Run time: 9.53s. Est. time left: 00:00:00:09\n", "60.0%. Run time: 11.08s. Est. time left: 00:00:00:07\n", "70.0%. Run time: 12.43s. Est. time left: 00:00:00:05\n", "80.0%. Run time: 14.05s. Est. time left: 00:00:00:03\n", "90.0%. Run time: 15.81s. Est. time left: 00:00:00:01\n", "Total run time: 17.52s\n" ] } ], "source": [ "result2 = photocurrent_mesolve(H, rho0, times, c_ops=c_ops, sc_ops=sc_ops, e_ops=e_ops, \n", " ntraj=10, nsubsteps=100, store_measurement=True)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZKv2M7Nz1Nxd3rsrrbIRIIywsDC8vL1xdXSUYiSJHKYWrqyteXl6EhYXZuzgp2Cse/f33di4Grc3rbIRIQWKRKOpsHY9s1nOktU4AOiqlTEAfYAbwBTDKVnmklnA9mNrr/Sim43h7RzgNHnmKzg97Us7dOa+yFMIqPj4eFxcXexdDCLtycXEpcEN57BGP4sJOUf+3niht5s0dX9Go2RN0ftiTsm55XicTRZzEIiEMtopHNp+QQWtt1lr/ALwF9E1vH6XUYKVUkFIq6OrVqznO646LJ8fKtqG4iufDiE/5fu02HvliM4PmB/HroUvEJiTmOG0hskJa6URRV5C/A/kaj1x9OF76CdxULO+Hf8L0NX/S/PNNvLogiA2HJR6JvFWQv4dC5BdbfQ/ycirv1UDp9DZorb/XWjfVWjetUKFCjjMo5VqM5sMDSPR9ggoqgmUlvsGVaDYdvcLQRXtp/vlm/rPqEHvO3UCewxUifyQmJrJ79257F8Nurl+/bu8i5EhMTAwRERHW99euXbNjaWwuz+NRGXdnmoz4gUTvFlRS4SwtOZViOoaNR64wZKHEIyHyW1GJRbdv3yYuLs7exciRy5cvZ3nf/IxJeVk5cgCO52H6llyccHhhAZSrgU/8GXY/tISPOtakTqWSRETHs2jnefxm/EWbr7by380nuRAuM7mKou3o0aO0bdsWf39/6tevj1KKFStW2CTtmJgYBg8ejL+/v03SS23y5MmMGDEiW8csXrzYOh4/PDw8zfbQ0FAcHR3x9PRk9erVBAUF0aZNG5RSvPLKK4wYMYKhQ4fSoUMHHnzwwUzzmj59OhcuXMhW+bKrUaNG/PXXXzZLz2w2ExAQQM2aNVP8RyImJoaJEyeSmHhf9HjkTzxydMbBfzGU8aVq3An21lvOmI610o1HUzdJPBJFW2GIRVFRUVStWpXg4OAsH3PixAlee+01lFK899576e4zZMgQlFIMHjyYc+fO8e2332Iymahbty4jRoxgxIgR9O/fH29vbwICAjLM68yZM0ybNg0nJ6dsnlnWLVu2jC5dutg0zbNnz9KnTx969eqVZtvq1at5//33mThxIiNGjLBW/P78809+//13m5YjQ1prm7yAZsAgwMHy/gvghXsd16RJE20T105p/WUVrT8pqfWvH2ittT5yMUJ//ssR3XT8Rl3l/XXWV8/v/tLLdp3XkdFxtslbFElHjhyxdxFypGXLlnrmzJlaa60TExP1wIED9fTp063bZ8+enav0AwMDdbVq1XKVRpI7d+7oJUuWWN/v3r1bb9q0Kdvp9O7dWzs6OuqJEyem2TZ27FhdoUIF3bt3b+tns2bN0sbtMaUPPvggwzz++9//6mXLlmWpPBs2bNAXLlzI0r6pzZkzR4eFheXo2PRcuXJFnz9/XgN648aNKbYdOHBAjxs37p5pZPZdAIK0jeJMVl92j0dhx7X+wseIRxs/0VrfjUfNUsejGX/pJTvP6QiJRyKHJBalL6exKHW+U6dO1VFRUdlK48SJE9rR0VGXLVtWR0dHp9gWGRmpq1atqgF94sQJ6+deXl76k08+SbHv0aNHdUBAQLp53Lx5U3fr1k3Hxd373pGYmKjnzZuXrXNIcvLkSb18+fIcHZuR4OBgPXz4cN2qVasUnwcFBemqVavq+Ph4rbXW7777rv7Pf/5j3T5mzBh99OjRTNO2RTyyZc9RJWA8sEUpNRrYpbVeZsP0M1euGrywCExO8M//YPccalcqyeiOtfn7g6eYP6A5zzf0pLiTiV1nw3lvxUGajt/EyCX72Ho8jIREc74VVQh72rdvHwkJCQCYTCa+/vprbt26BcDGjRuZMGGCPYtnpbVm2LBhHDt2zPpZ06ZNadu2bbbTcnJyolu3bsyYMQOz+e53PTExkcOHD1OnTp0ULW+OjunPVTN69Oh0Pz99+jRLly5NtxUstZCQEAYMGGD9HWTXgAEDyM3wr9Q8PDzw8fFJd1uDBg04duwYhw8ftll++cS+8ahCTeg1H5QD/Pk17Ft4Nx592JYFA5rTtaEnLk4O7AoO54OVh2g6fhPDF+8lKDht76YQ96OCGIsOHjzIm2++meKzkSNHZnvCi6SYEx4ezuLFi1NsW7RokTVW3CvuPPTQQ3Tv3j3dPN555x0GDBiQpV6jsWPHsnXr1mycwV3Vq1fHz88vR8dmpEqVKpQvXz7N51OmTKF169bWa9G1a1e+++47YmJiAHjrrbcYOnSoTcuSHptVjrTWa7TWD2itW2utv9Bar7ZV2lnm2wq6fGv8vP5dOLUZAEcHE61rVmDqi43Y/Z92TOrRgEceLEtsgpk1By7Sf95uHv1yC5//coSjlyLzvdhC5KfGjRvzwQcf8PPPPwNQokQJ+vfvD8DatWu5fv0648eP59SpUyQmJjJhwgRmzJjByJEjGTJkCFFRxlCgxMREJk6cyJQpU3jxxReZNGlSiny+++47GjduTO3ata1DEi5dusSwYcOYO3cufn5+7Nu3D4DY2FjeffddlixZQuvWrdm6dSunTp3i4MGDbNu2jSlTpgCwY8cOZsyYYc3j7NmzjB49msmTJ/P0008TFBSU4XmPGDGC4OBg1q1bZ/1s7dq1dO7cOUvXberUqRkOMZszZw5t2rSxvt+wYQOPPvoo8+fPp1OnTlSsWNGa786dO7l48SLTpk1j8+bN1nP+9ddf8fb2ZsaMGRw5coTXX3+dOXPm0LVrV86dOwfAlStX+Pbbb3Mc5HLiySefTHHNC4MCEY+qtYHn/s/4ee2bEPwnAA4mxRM1K/DNi43YPaYdX/V8mJbVyhGfaOaXg5fwn/UP567fyffiCpHfCmIs2rhxI7dv32b8+PEEBQURHh7OjBkzOHr0aIr0Jk2axKBBg3j77bdTNLglV6dOHdq0acP06dNTfL5p0ybat29/z+uTNLS5RIkSabZFRETw008/WRsLw8PDeeedd+jduzdffPEFNWvW5JlnniEhIYGrV6+yY8cODh48yPjx4zl37hyjRo3io48+YuDAgVSpUoWEhAQ+/fRTpk2bxrvvvsuXX34JGMOuAwMD+fjjj+9ZXlvYsWMHDz30kPV9zZo1uX79OgcPHgSgbNmyxMXF5fmzZLZeBNb+GvrD9ZOw/f/gp/4wcCN43L3QJYo70aupD72a+nAhPIrV+0JZuS+Us9fuMGv7WWZtP0vtSiXxa+xFt0ZeMi24yBbfD36xS77BXz6X5X3nz59P586d6dq1Kz169GD69OlUrFgRgO7du7NmzRrGjBkDwKRJk7hz5w4ffvghAD179uSNN95g1qxZjBkzhrp169K3b1+OHDlCgwYNGD58OGCsu9GgQQP27t2Ln58f8+bN49NPP+W///0vWmsGDBhAXFwcn332GStXruTXX38lNjYWf39/WrVqRXBwMDVq1KBBgwb4+vry9ttvc+7cOWbNmkVwcDBDhw4lOjqaXr16sXnzZkqWLMm1a9eYPHkyy5al30HwxBNP0KBBA6ZNm2YdP/3TTz8xZ84c5s6dm+4xSYE6PDyc9evX069fv3T3W79+Pe+++671/bPPPssrr7zCuXPnWLduHd9++y0TJ06kU6dO1ha4ESNG4OvrS3h4OL1796Z///4sX74cFxcXPvvsMxo2bMjAgQM5efIkU6dOZcqUKYSGhjJp0iQ+++yzNGUICAjglVdeyfD3XqVKlWyNm09St25dxowZkybAiyxo+gpcPwV/T4NlfWHQZmOUg4W7syM9mnjTo4k3F29G8+HKQ/xx4ior9oby9tM17VhwUZgVhjgEBTMW+fn5MWrUKGu+69evZ9SoUfzyyy/Url2bmTNncu3aNcaMGUN4eDje3t68+uqr1K5dO91zHDFiBH5+fvz111+0bNmSf/75h0ceeSTDWdVWr15NcHAwZrOZv//+m+eeS/+aBgYG4uHhYe3RKlu2LDVr1mTVqlVMmDCBd955h6pVq/LHH3/Qtm1bHn/8cYKDgxkzZgxms5mEhATWrVvHunXreOKJJzh9+jQTJ04kKiqKmJgY3NzcGDJkCAkJCWzdupUFCxYwbty4NOXw9fW1Nt6lZ968edY4mhWXL1+mVKlS1velSxvz6ISEhNC8eXPAiEnLly+nWbNmWU43u/JyQgb7aTMG6jwPsZGwuBfcSX+GC5+yrrzetgZb3mnNymEt6duiMqVcnDh6KZLxvxzlkS8289oPQWw6ckWG3Yn7RrVq1di3bx9ffPEF69ato2HDhpw6dSrdfWfPns0jjzxiff/KK68wf/58EhISmD59Op06dQKMFrLr16/j5uYGgKurKy1btgSMG1lISAgAr7/+Ov/5z38IDw/n0KFD3LhxAzD+4z579mwCAgKoXLkyjz32WJqyVKlShSeffNL6fu3atXh5eVlXwv78888zrOQkGT58OJs2beL48eOcPXsWLy8vihcvnuH+AQEBBAQEsGbNmgwfrAU4f/58ihs6gLOzM0888QQA9erVs67cnVrZsmUBo4emRYsWPPzww4wfP55XX32V0NBQTp48ab1OjRs3plq1aumm079//0zHUOekYgTGSuNhYWHcvn07R8cXeU+Pg5odIPoGLOoJUekPm/Ms7cJrT1QFYOXeEMxmmdFO3N8KYixKrWPHjimGMU+dOtWaV9myZbl06VKGFSOA559/Hh8fH7791hjVdK9GrK5duxIQEMCCBQvYtWuX9TxSyyjmVK5cmSpVquDs7Ez16tXTjTsmk4nSpUvToEEDvLy86NevHzVq1GD79u2YzWa2bduG2WwmIiKC8uXLpxgVkVpwcHCmcSc7FSMwhhYmHyaY1Cunk83wWbJkSU6fPp2tdLPr/us5AjCZoOt3cPMCXNwLS3vDy2vAKf3/BCmlaFy5DI0rl+GjTnXYcjSMn/aEsPV4GL/9e4Xf/r1CeXdn/Bp70bOpN9U90nZxCgHZbznLb4mJiTg4OODs7MyHH35I+/btadu2LaNGjWL16rQjj0JCQqxDF8BoJYqPj+fq1avcunUrRetX6ht1EpPJZB2O5uHhweeff07VqlVp2LAh//77L2DMwDZlyhSGDBnCjz/+yMKFC62VhoycPn06Rf6Ojo4ZPiuUpG/fvrz//vtMmzaNEiVKMHjw4Ez3T87f3x9n5/R7kmNjY3FwcMjwWKVUhkMvku+TpGLFiowfP54WLVpQt25dzp8/n+Vy2lpS5TEyMhJ3d3e7laPQMjmA32yY+yxcOQQ/vgx9V4Jj2sVhW1Qth2ep4oTciGZ3cDiPVC1nhwKLwq6gxyEouLHoXlLHnYzySuLg4MCQIUMYO3YsR48exWw2p/usTXrKlCnD888/n+62e8UcuHfcSX4eJpOJsLAwxo4dy2uvvQakrJDkl0qVKqVYUuLmzZsAeHl5WT8rXrw4kZF5+wjM/dlzBFDMFfyXQElvuLAT1oyALPyinR0d6FC/EnP7N+PvD9vy/rMPUbWCG9duxzJz2xnaTdlG1+k7WLzzPJExBWtVeCHuZc2aNezfv9/6vkmTJvTr148zZ86ku7+vry8nT560vo+NjcXV1ZWyZcvi4OCQ4tmX6OhoLl68mGn+7733HgkJCbz00kspWodCQkIYMmQIBw4c4OLFiymGqGXEw8ODf/75h9jYWOtnGbU6JnF1dbW2OJ4/f57q1avfM58k9evXx8XFhW3btqXZ5uPjk+KGnlsvv/wyNWrUoGvXrphMWbtNBwQEoJTK8OXr65ujskRGRuLo6MgDDzyQo+MF4OwOvZeC+wMQvB1+eSvdeGQyKbo1Nv4TsGJvSH6XUoh8U1Bj0b14eHikyMtsNnP27NlMj3n11VcxmUx07tw52z0pzZs3Z+fOnSniHNg+5uzZs4eRI0cyduzYFBWRe/H19c007mQ2DXl62rRpkyKOHzt2jFKlStGoUSPrZ5GRkXh7e2cr3ey6fytHACUeMAJSMXc49BMEfp6twyuWLM7QJ6ux+e3WrBjaEv/mPrg7O7L/wk1GrzpE88838ebSfew4dU2GQIhC4cEHH2TQoEHWGYEAzp07Z3041M3NjRs3bpCYmMiVK1cYNmwY8+fPt7a2BQYGMnz4cJydnenSpQsjRoxg48aNHDt2jAkTJlCxYkXMZnOK1iqz2Wxtgdq4caO1u321qoW5AAAgAElEQVTPnj1ERESQkJDA5s2bOXnyJLVq1WLs2LHW8rm5uXH16lWio6OJjIxMkfZzzz1HZGQk/fr148iRI2zcuDHD9X/u3LljHRY2fPhwbt++nWL2nbi4OOLj7zZ2JM2glLrVbe7cuemuY/Too4+m6d1JPStecq6urly9epUrV65Yr03yVrqk65SQkMD+/fut1ykzuRlWl1nr4uXLl3n44YezXEkTGSjlbTTYObrAvoWw/at0d+ve2Aj66w9dJjruvlhjSog0CmosShrGlnR/TjouKZ2ePXsyduxYli9fzqlTpxg3bhzlyqXt4U0ecypUqECvXr1wc3OzDvFLWrsnddxJfS+OjIxk4sSJaUYttGjRgosXL6aILamPTb4tKZaazWauXbuWfNkDALZu3UpCQkKKhXNv3rx5z7iTm2F16cWdgQMHsmHDBmvZ169fT58+fVKc/+XLl2ncuHGm5cq1rMz3nZcvm60rkZnjv2k9toyx5kTQvFwlFRWboFfsuaBfnPl3irUqWk7YrKf8flyfv37HNmUWBV5hXFsiMjJSA9rT01MPGjRI9+nTRw8ZMsS6hkNsbKyuX7++fvLJJ/Xhw4e12WzW48aN0/3799dffvmlfuedd3RMTIzW2lgf57nnntPu7u66devW+syZMzoqKkoPHTpUm0wmvXr1an327FndsmVLXbt2bX3y5Ek9efJk7ebmpjt06KBXrlypS5curf/v//5Pz5s3Tzdq1EjPnj1bDx8+3HptN27cqMuVK6fffPNNferUKe3n56crVKig//jjD6211uvXr9c1atTQpUuX1qNGjdJmsznNOQcEBGh3d3c9cuRIffHiRa211q+++qp1HYVZs2ZpV1dXXalSJb169WodFBSkn3rqKQ3ozp0765EjR+pXX31Vt27dWptMJmsayQUGBuouXbpY32/ZskU7OTnpN998U1+7dk0PHDhQOzs768DAQGv+tWrV0qtWrdLTpk3TgB4zZox1/aKRI0dqd3d33atXLz1//nxdpkwZvXTpUq211q1bt85w3YucuHLliv788881oPv375/m73rMmDH622+/zTSNgrbOUU5f+RKPjqzR+pNSRjzatzjdXZ6f9qeu8v46/czXf+hZ207rsMiYvC+XKLQkFtkuFmmtdfv27XWTJk30tm3b9PLly7WTk5MeMmSIvn79ur59+7bu27evLlmypG7cuLHes2dPmnM7evSo7tmzp/b19dXr1q3TWmu9c+dOPWPGDK211ocPH9bdunXTgB48eLAODg7W06ZN00op7eXlpYcOHapff/117e/vrx944AE9ePDgdK9h69at9d69e7XWxppHfn5+ulKlSnr37t16165dunTp0rpXr1765s2b+vDhw7p8+fK6X79+ev/+/bply5a6Ro0a1lj677//ah8fH12rVi09f/583apVK/3UU0/pyMhIHRgYqH19fW3429d669atukGDBrpMmTJ6+fLlOjY21rpt/vz5+o033tCTJ0/WgwcP1rdv305xbPXq1fW1a9cyTNsW8UhpO4wpTK5p06Y6s+l3bWZPAKx9w1h3wn8J1Hwm10leCI9i+Z4Qlu8JIfRmtPXzR6uWo1czb56tWwmXYpmPCRWF19GjRzN9EFMULT169ODLL7/M1lC9nGjdujWjRo3K8hTkuREVFUXPnj1ZuXJlhs9bQebfBaXUHq1107wqoy3lWzza+T38+i6YHKHPT1DtqRSb/zlznSEL93AzymhVdjApWtesgF9jb9rW9qC4k8QVcZfEoqJp9+7dfP/998yaNStP8wkMDGTUqFHs2bMnT/PJilWrVnHixAnef//9DPexRTwqOuMkmvSHJ94DnWhM8R26N9dJ+pR15a2na7L9vTYsGvQIXRt64uxo4u8z13lr2QGaf76JD1ceZM+5G3Z5sE0IkX9mzJjBV199lWZsuC1ER0fz+++/A8baF02aNLF5HumZNGkS33zzTaYVI5EDjwyGliPBnADLXobLh1JsblG1HDtHt+W7vo1pV7siCthyLIzhi/fS/PNN/GfVIfael7giRFHWrFkzGjVqxPr16/Mk/X/++YcrV65w69YtWrRokSd5ZEdISAi7du3KdOZYWyk6PUdgPAC7ehgcWAxuFYw1kMo+aNMsImPiWXfgEj/tucC+8zetn1er4MYLzXzo3tib8rJ20n1BWutEapGRkRw4cIDHH3/cpumeP3+etm3b0q1bN2rXrp3pVLC2cujQISpWrIiHh8c995Weoxwwm2HlIDi8AkpUMuJRaZ90d712O5Y1+y+yYm8I/168O0tT1fJu+DXxplsjLzxLu+RPuUWBI7GoaNu4cSOtW7emWLG0M2DmxkcffcRvv/1Ghw4dGDZsmHUNKnvZvHmzddHbzNgiHhWtyhFAQpyx9tGZQChbzQhIbnkzXeqpsFv8FBTCyn2hXL1ltCY7mhRP16nIC818eLxGBRxM6S8EJgo+CUhCGKRylEMJsfBDdzj3J1R4CAZsAJcymR5y7HIkK/eGsipZXFEKWlYrR/dG3nSo/wCuxe7PVTpE+iQWCXGXVI5yKiYS5nU01pzwbg791oBT3rW6JSSaCTx+lWW7LxB4PIxEy8x2nqWK07OpD72a+eAlrX6FjgQkIQxSOcqF6BvGGkhXj0GVx+ClleB479EFCYlmtp+6xoo9Ifx+5ApxCcbMT67FHOhQrxJ+Tbxo8WA5TNIAd9+TWCTEXbaIR0Wzeal4SeMh2NntIGQXrBgEvRYYi/XlAUcHE0/XqcjTdSpyJTKG5XtCWLb7AufDo5i6+ST/3XKSJ2pU4MVmPrStXZFijkXnUTAhhCjSXMpAn+VGPDr3J6weCt1nG4uZZ8LRwUSbWh60qeVBRHQ8vxy8xIq9Iew5d4MVe0NYsTcEr9IudG/shV9jb3zLu+XTCQkhROFWNHuOkoQdhbnPQEwENH8NOkw0xifkA7NZ88+Z6yzdfYENhy8Tl2i0+pVzK4ZfE296NfWhuoesRl+QSWudEAbpObKBSweNEQ1xt6DVG/D0uBwlc/baHVbuDWHl3tAUs6g2qVIGv8bedHq4EiWLZ33RS1HwSSwS4i4ZVmcLwX/CD90gMQ7aj4eWr+d7EW7ciWP1/lCW7rrA8St3F0Rr5luGF5pVpqOMIS+QJCAJYZDKkY2c3gKLehqz2HWYbMxql0Nms+afs9dZsSeUXw9fIsqyoGxxJxMd61WiR1NvGXZ3n5BYJMRdUjmylcMrYPkA42e/OVC/h12KobXmQEgEy3afZ83+i9yxBLMSzo50aejJi80qU8+rJCqferdE5iQgCWGQypEN7V8Cq4cAyhjuXadLrpO8E5vAhsOXWb4nhL/PXLd+7lPWhZ5NfPBr4i3PvRZiEouEuEueObKVen4QeRF+HwOrXoPipaFGu3wvhlKKhj6laehTmjHP1eGXg5dYuvs8e8/fZNHO8yzaeZ46lUryYnMfnn/Yi1KuMjRCCCHuKw39ITIEtoyHFQOh+HKo2jpXSbo5O+LXxBu/Jt6cvx7F8j0XWL4nhAvh0UzZeIKvN53gserl6dnUh/Z1Ksois0KIIk2e/E/S8vW7i/L9+BJc2GXX4rg5O9KrmQ8rh7XitzefYECrBynt6sSRS5F8/PO/NP9iE5/8fFgWARQFypkzZwgLCwMgLCyMU6dOpbuf2Wzmr7/+ynb6N27c4MSJE7kqoxAF3uOjjOdgE+NgaW+4uM9mSVcu58rb7Wux/f2n+GFgczo/7ImTg4ntJ68xcsk+mn++iY9WH+ZgyE2JL6LQklgkckMqR8k9PQ4a9oX4KGPcd9hRe5cIgFoPlODjznXYObot3/o34rHq5YlNMDP/73Ncjoyxd/FEIbJmzRp8fHxwd3dn1qxZxMfHp9lnx44dNG7cONtpr169moceeogjR45w8OBBHn30UVavXp1mv5s3b/L666/TqlWrbKV/4MABmjdvzuLFi9Ns27ZtG61bt0YpleFq4bVr18ZkMvH1119z7tw5hg0bhlKK9u3bM2LECIYPH84LL7yAu7s7wcHB2SqbEDalFDz7JdTvCXG3YWEPuJb+f+5yysGkeLxGBb71b8Tu0e347Pm61PcqRWRMAj/8c44u03bQYep25vx5luu3Y22atxASiyQWFWhaa7u+mjRpoguUhHitF/tr/UlJrb96SOsb5+xdonS1+SpQV3l/nT55JdLeRSmyjhw5Yu8i5EifPn10q1atMtx+5coVPXfu3BylXaVKFR0YGKi11vrll1/WkydPTne/M2fOaOP2kz39+vXTn3zySbrbvv/+e+3o6Kg7dOiQZltgYKCuUKGC9vT0tH528uRJDVjLm+S7777TZ8+ezXbZirLMvgtAkLZznMnqq8DFo/hYrX/obsSjKXW1jgjN8yyPXIzQn675Vzf89Ddd5f11usr763T10b/o1xYE6c1HL+v4hMQ8L4PIHolFaUksKrpsEY+k5yg1B0foMQeqtIJbF42Z7G5ftXep0nCzzF53JzbRziURhY2joyOOjhk/bujh4cErr7yS63wymzgkLyYVcXJyolu3bmzYsIHTp0+n2LZgwQL8/f1xcrr7nF5G16Bfv354eXnZvHxCZJtjMWNSBu/mEHHBiEdR4XmaZe1KJS0jFdrxXd/GPPWQB4lmzYZ/LzMgIIiWX25h0oZjxMRL7BG5I7HIILGo4JHKUXqcXMB/CTxQH66fgkV+EBNp71Kl4FLMeGA2aXpWIWzl1KlTfPLJJwCEhIQwcOBA3njjDd555x2qVKlC//79rfvevn2boUOHMnnyZCZMmMDt27dTpBUaGsrjjz9OyZIl8ff3T7M9yfbt23nnnXeYOXMm3bt358aNG9Ztn332GR9//DFTpkzh4MGDmZb95ZdfpkSJEkyfPt36WVhYGMWKFaNMmTL3PPcDBw6wYcOGFIFLCLsq5ga9l0GF2nD1GCzuBXF38j5bRxPP1qvE3P7N+PvDtrz/7ENULe9G2K1Y/rf1NF9vkuctRN6SWCSxyF5ktrqMFC8FfVfCnPZw6YDxUGyf5eBU3N4lA8DNWjlKsHNJRApjS9kp3wibJHP79m3WrFnDuHHj+PTTT/H29sbDw4NNmzbx22+/MXr0aDw9Pfnoo4+oVq0ab731Fk899RT+/v7ExMQwYcKEFOnt3buXtWvXcvXqVdq0acNHH33E119/nSbf9957jzfffJMXXniBwMBAfvjhB0aOHMmiRYsICQlh5syZAPz666+Zlt/d3Z1+/foxb948PvvsM9zc3Jg7dy4DBw7kl19+SfeYL7/8koCAAGJiYvj999+ZO3duDq+eEHnEtSy8tBLmPAMhu2HZS+C/1OhZygcVSxZn6JPVGNK6KhsOX2boor2s2BPCqPa1cHKQNtYCp5DHIZBYJLHIvuSulhl3D3hpFbhXhODtsHIQmAtGT03SorDScyRsyd3dne7du6f4zNnZmbp161K2bFnKlSvHAw88QGhoKBEREQQEBNCunTHtffHixSlbtmyKY9u0aUPp0qWpUaMGw4YNY/ny5enmO2vWLDp37szJkye5ePGitbVu6tSp1vSBLA0xGD58OBERESxcuBCtNXv37qVZs2YZ7v/BBx8QEBDA0qVLWbp06T3TF8IuSnoa8ci1PJzeDKuHgtmcr0VQSvFsvQeo7uHOtdtxbD4alq/5i6JDYpHEInuSnqN7Kfug0YM0ryMcXQvr3oTO/zVmE7IjV+k5Kphs2HJWUCmlMJvNnDp1ioSEBFxcsrZ4ZN26dbl582a628qXL89HH31Ep06dqFq1qnUK4aNHj2Y5/SS1atWiXbt2TJ8+nSpVqvDMM89k+djHH388wylfhbC78tWh73II6AyHlxs9Sh0m5Ws8UkrxQlMfPl9/lB+DLvBsvQfyLW+RRUUgDoHEIpF3pOcoKx6oZ4z5diwOexfApk/Azus/uDlLz5GwrTNnznDy5Mks7+/u7g7A8ePHs7R/XFwcderUSXdbx44d6dixI23atEmTR1bTT27EiBEcOnSIMWPG4O/vn+XjXFxcqF+/Ptu2bct2nkLkC89G4L8YHIrBru9h64R7H2Nj3Rp74eSg2Ho8jMsRspyEsC2JRRKL7E0qR1lV5VFj1iCTI+yYCtsm27U4MiGDyKn4+Pg0izsmJCTw/vvv4+npidkyVCf1v0kSE42/uerVq1OrVi0mTJiA2WwmPDycGzducPnyZWv6yY/97bff+PDDD9N8fv36dfbt24fWmujoaP79918iIiJISEigU6dOfPfdd4SHh2M2mwkODubq1askJKTtMb1z5471IdtOnTrh6+tLq1atcHV1BYyAmHwtjaQ0Up/f4cOHWbFiRZaupRB28eAT4DcHlAn+mGjEpHxU3t2ZdrUrYtYwc9tpYhMkDonsk1h095zTOz+JRfYjw+qyo+Yz0P17WDEIAj8HJ1doOcIuRUmakOFOrAyrE1m3du1atm7dyo0bN+jXrx8uLi5ERUXx559/4unpSUJCAgsXLgSMsdddunQhMDCQiIgIjh8/ztmzZ7l06RIrV66kZcuW/PjjjwwcOJAaNWrQo0cPHn30UU6ePElkZCT9+vXjiy++4N1338XBwYFmzZrRtWtXbt26ZX2ode7cufTr149u3brRs2dPevbsSZ8+fZg4cSJdunRh4sSJDBo0iLp16/LUU09RrVo1AIKDg6levbr1vAIDA5k5cyaVKlXC29ubhg0bMmzYMDp16gTApk2b+Pnnn7l06RJTp07Fz8+Pb775BjAewG3ZsiWJiYmEhISwadMmZs+enZ+/FiGyr04XeP5/sHoIbPzYiEfNX8237P2bV+bXw5eZtyOYVftC6drQi55NvanraafJAEShIrFIYlFBplLX2vNb06ZNdVBQkF3LkG37FsHPw4yfn5sCzQbmexHm/HmWz9YdoX9LX8Z2qZvv+QtjDHLt2rXtXQwh7C6z74JSao/Wumk+FylHCmU82j0Hfnnb+Pn56dCob75l/VPQBebuCObopbtLXdT1LEmvpj4839CT0q75M5teUSexSIi7bBGPpOcoJxr1gfgoWD/KCEpOrtAw62NJbUGm8hZCCEGzgRAfDb//B9a8bqzTV88vX7Lu2dSHnk19OBwawU9BF1i9/yL/XozkkzX/8vkvR3m6bkV6NfXhserlcTDZdxIjIYTIKqkc5VTzV40K0saPjV4kJxeo2zXfspdnjoQQQgDG8O74KGO498rBRoNdrQ75ln09r1LU8yrFhx1rs+noFX4MCmH7yav8cvASvxy8RKVSxfFr7E2vpj5ULueab+USQoickAkZcqPVG9D6A9BmWDEQTvyWb1m7yTpHQgghkjzxLrR6E8wJ8OPLcHpLvhehuJMDnRp4smBAc3a8/xTvPF2TymVduRQRw7TAU7T/5g+OXY68d0JCCGFHUjnKrSc/gJavGwFp2UtwZmu+ZCvrHAkhhLBSCtqNheaDITEOlvSGc3/ZrTiepV14vW0Nto56kqWDW/Bo1XLExJuZ/9c5u5VJCCGyQipHuaUUPP0ZNB0IibGwxB/O/5Pn2brKOkcFgr0nNBHC3uQ7UIAoBc9OhIZ9ISEaFvWCkD12LZLJpGhRtRzjnjcmDlqzP1RmWc0D8j0UwnbfA6kc2YJS0PEreLi3Me57UU8I3ZunWbrKM0d25+TkRHR0tL2LIYRdRUdH4+TkZO9iiCQmE3T5rzEpQ9wtWNgdLh+yd6moUbEETaqU4U5cIusOXrR3ce4rEouEMNgqHknlyFZMJujyLdTpCrGR8EM3uHQgz7KzVo6kBc5uPDw8CA0NJSoqSlrtRJGjtSYqKorQ0FA8PDzsXRyRnMkBus2EWs9BzE1Y8DxcOWLvUvFiMx8Aluy6YOeS3F8kFomiztbxSGarsyUHR/CbDYnxcPwXIyC9vAYqNbB5VtYJGeKl58heSpYsCcDFixdTrHYtRFHh5ORExYoVrd8FUYA4OEHPebC0N5zaBPM7Q7+1ULGO3Yr0XINKjFt7hP0XbnI4NIJ6XrJgrC1ILBLCtvFIKke25uAEPQPgp35wfD0s6JInFSTrVN6xUjmyp5IlS8p/DIUQBZOjM7ywCJb1uVtB6r8OPOyzYKhrMUe6NvLih3/O0f1/f9Gujgc9m/jweI3yODrIQJbckFgkhO3I3SgvOBaDnvOhZgeIvmFUkGw85tvZ0YSDSRGXaCY+0WzTtIUQQtwnnIobFaRqT0HUNaOCFHbMbsV5s10NnnrIgwSzmfWHLvNKwG5afrmF/24+KUPChBAFglSO8opjMeg1H2o8Y1SQ5neBy4dtlrxSClcnmZRBCCHEPTgVhxcXQ9U2cOcqzO9ktwpSOXdn5vZvxl8ftOXdZ2rxYHk3wm7FMmXjCQ6HyhpIQgj7k8pRXnJ0hhd+sFSQwo0epCv/2ix5V2ejchQtlSMhhBCZcXIB/yXJKkid4epxuxXngVLFGd6mOlveaU2nBpUA2Hfhht3KI4QQSaRylNesFaT2EHXdCEg2qiC5WiZluCMLwQohhLgXawXpSbgTBgGd4OoJuxZJKcUjD5YFYP/5m3YtixBCgFSO8oejM/T6Aao/nayClPtpVV1lUgYhhBDZ4eQCLy6BB1sbFaT59q8gNfQpA8C+C1I5EkLYn1SO8otTcXhhIVRvZ7MK0t2FYKXnSAghRBYVcwX/pfDgE3D7ilFBunbSbsV5qFIJnB1NnL12h5tRcXYrhxBCgFSO8pd11qC2d2cNysUsdknD6mRCBiGEENlSzBX8l4Hv40YFKeA5u03S4ORgor5lzaP90nskhLCzPKkcKaVMSqlApdSTeZF+oZY0a1BSBSmgE4TuzVFSd3uOpHIkhBDpkXiUiWKu0Dt5BamjzZedyKqGPqUB2CfPHQkh7Cyveo6GAg/nUdqFn1Nx46HYWh0h5iYseB7O78x2MjIhgxBC3JPEo8wUc4M+P90d8h3QCUL35HsxGlU2njuSniMhhL3ZvHKklHocCAZkwYLMODpDrwVQpyvERsIP3eDs9mwlkdRzJFN5CyFEWhKPssjJxRjRUOs5S4NdVzj/T74WoWFlo+do/4WbshisEMKubFo5UkqVA1pqrX+xZbr3LQcn8JsDDV6E+DuwqAec2pTlw5PWOZKeIyGESEniUTY5OhsLl9ftZmmw6w5nt+Vb9p6lilOhhDMR0fGcvXYn3/IVQojUbN1z9BYw1cZp3t8cHKHrDGjcDxJiYIk/HFufpUPdLMPqpOdICCHSkHiUXUkNdg/7WxrsesLJrDfY5YZSikaW5472ynNHQgg7slnlSCn1KrBIax2ThX0HK6WClFJBV69etVURCi+TCTpPheavQWIc/PgS/LvqnoclDau7I+scCSGElcSjXDA5wPP/gyb9jQa7pf5wLH8631pWKwfAz/tD8yU/IYRIjy17jgYD+5RSMUqpGKAK8LtS6sfUO2qtv9daN9VaN61QoYINi1CIKQUdJkKrN8CcAMsHwIGlmR6SNCFDdLwMqxNCiGQkHuWGyQSdvoFHhlga7F6GwyvzPNuujbwo5mhi+8lrnL8elef5CSFEemxWOdJaN9NaF096AeeA9lrrXrbK476nFLT7FJ78ELQZVg2BPQEZ7i49R0IIkZbEIxtQCp79Eh57y2iwWzEQ9i/J0yxLuxajU/1KACzZfT5P8xJCiIzIIrAFjVLw5AfQbiygYe0b8Ne36e4q6xwJIYTIM0pB20/gydFGg93qIbDz+zzNsk+LygD8FHSBuARznuYlhBDpkcpRQfXYW9BhkvHz72Ng8zhINb1p0rC6KJmtTgghRF5QCp58H57+zHj/67uwdWKaeGQrjSuXoVbFEly7Hcdv/17OkzyEECIzeVY50lr7aq235lX6RcIjr0G3maAcYPv/wbq3wHy3lyhpKm/pORJCiIxJPLKBViOh839BmWDrF7DhAzDbvmdHKUXvR4zeozeX7WdAwG7+On3N5vkIIURGpOeooHv4RXhxETg4w555sGIQJMQByYfVSc+REEKIPNakH/QMAIdisPM7WD0UEuNtnk2vpj50amA8e7TlWBgvz9lFyA2ZoEEIkT+kclQY1OoAL62EYiXg35Ww5EWIu2Nd50gmZBBCCJEv6jwPvX8EJzc4uBSWvQTx0TbNwqWYA9N6N2bn6La0qVWBBLNm6a4LNs1DCCEyIpWjwsL3Mei/DlzLw+nNsKArruZbAETHS+VICCFEPqnWBvqtgeKl4cSvsNAPYiJsnk15d2eGPlkdgKW7LxCfKBM0CCHynlSOChPPhjBgA5T0hpBdlFnWlQrc4E6sDKsTQgiRj7ybGvGoRCU4twMCOsFt2y+i28y3DDUrunPtdiwbj1yxefpCCJGaVI4Km/I1YOBvUL4mpqtHWO78KR6Jl0g0583MQUIIIUS6PGobFaQyD8LlgzDvWbhp2+FvSin6PFIFgEU7z9k0bSGESI9UjgqjUt7wyq/g2YgqKowVxT4lJuSAvUslhBCiqCnjCwN+g4r14fopmPsMhB2zaRbdGnvh4uTAjlPXmbH1NJcibPuMkxBCJCeVo8LKrTz0W8tuVQ8PdROXhZ3gzB/2LpUQQoiipkRF45lYnxYQGQpz28O5v2yWfMniTtbpvSduOEbLL7fwwsy/WbzzPJExtp8tTwhRtEnlqDBzLsFol49Zl/gIprhbxkOxh5bbu1RCCCGKGpfS8NIqqPWcMTnDgq5w5GebJT+6Y22+69uYjvUfwMnBxM6z4YxedYieM/4mQSZqEELYkFSOCjlHZ1dej3+d6/UGgDkeVgyEv77Ns9XLhRBCiHQVc4UXfoCmAyAxFn7sBzu/t0nSDibFs/Uq8b8+Tdgzph1f9XyYB0oW5/iVW2w5FmaTPIQQAqRyVOi5FnNAY+JMkzHQfrzx4e9jYMOHebJ6uRBCCJEhkwM8NwWe+gjQ8Ou7sPFjm8ajEsWd6NHEm0GPPwjAwp3nbZa2EEJI5aiQcy3mAEBUvFresXcAACAASURBVBlavg5+c8DkBDtnwPJXID7GziUUQghRpCgFT4yC5/8HygF2TIVVr0FCnE2z6dHEG2dHE9tOXCX42h2bpi2EKLqkclTIWStHSWsd1e8BfVeAc0k4shoWdofoG3YsoRBCiCKpUR/o/SM4ucGhH2FxT4iJtFnypV2L0flhTwAW75LeIyGEbUjlqJBzK+YIwLaTVwm9aZnetGprY6rvpMX55naAiBA7llIIIUSRVKMdvPILuFWAM1thXke4ddlmyb/UwlgD6cegCwQFh2OWNf+EELkklaNCzrusKwBLdl2g1Zdb6DLtT6YHnuKUyRcGboTyteDqUZj9NFz5176FFUIIUfR4NjLiUdlqcOWQEY+uHrdJ0g/7lKZR5dLcjIqnx3d/8/ikQCasP8rh0Ai0TEwkhMgBZe+bR9OmTXVQUJBdy1CYxSeaWX/oEr/9e5nAY1eJjk+0bqvu4U7Xmi68cmE0bld2Q7ES0DPAaMkTQoh8oJTao7Vuau9yZIXEozx25xosfgFCg8C5lDGzXdXWuU427FYMc7afZe2Bi1yMuPuc7QtNfZjYo0Gu0xdC3B+yGo+kcnQfiYlPZPvJa2w4fJlNR68QEW0sjudMHNPdZtMu8U/j4diOk6DZIDuXVghRFEjlSKQQFwUrX4Vj68DkCJ2+gcYv2SRps1mz9/wN1hy4yNJdF4hLNLPlndZUreBuk/SFEIVbVuORDKu7jxR3cuDpOhX5v14PEzSmHQsHPsJLLapQskQJXr0zhC0VXgadCL+8AxtGgznx3okKIYQQtlLMFXr9YMyuak6ANSNg01ibTPVtMima+pZl3PP16NrImKhh4T8yUYMQInukcnSfcnIw8ViN8nzWtR5jnquNxsSqsgOMqVVNTvDPdFjWF2Jv27uoQgghihKTyViXr9M3xmiGP7+G5f0hPtpmWbz8qC8AP+25QFRcgs3SFULc/6RyVAQkzWgXFZtgTK360iooXgqOr4d5HSDykp1LKIQQoshp+gr0+cmy9MTPEPAc3A6zSdL1vErRqHJpbsUksGb/RZukKYQoGqRyVAS4OhtrId1Jaj178HEYtBnKPAiXD8Ksp+DSQTuWUAghRJFUvS0M+A1KVf5/9u46vu7q8P/468SljadpqpG6u9FSWtwZNhgMW7GNMdiYfJn82MbGGGzMN1w3YMCwoi3UoO7uSSWppHFp9H5+f5wbK5WkuZbk/Xw88oCPn3ube0/en88RyFkFT58Nh7d45NQ3TbbDfD//ZXbjVBciIqegcNQJRNU/Oapu0scoqb8NSL0nQWkuPHcBbP/ETyUUEZFOK2UI3P4Z9BwLxXvh2fNg1+dtPu2Fw1JJ6hLGtkOlnPG7z7n6n4t54cssDpdWnvpgEem0FI46gegw95OjqmPaXUcnwk3vwvBroKYcXr0Olv4LNDeEiIj4UpducPNsGHI5VJXAK1fDimfbdMqI0GBevG0CFw3vTnhIECv3FPLQ+5uZ9NvPuP6ppfxn2V4Kyqs99AJEpKNQOOoEosLtk6Oj1ccZnS40Aq58Gqb/BBwXfPxjeP9eqFWFISIiPhQWBVe/AFPvd4+s+n344AGoqzntUw7tEcs/bhjLqp+fy5+vG8U5g7sRHGRYsjufB9/ewITfzOXm55bz5qr9lFSe/nVEpOMI8XcBxPsanhwdLxwBGAMz/s82tXv3O7D6JTiyww632iXZhyUVEZFOLSgIznkIkgbA+9+DFU9D3la49iWISjjt03YJD+HyUT25fFRPiitq+GTzQWavP8CXO4+wYHseC7bnEfa/IKYPTOaSEamcMziF6HD9iSTSGemT3wlEusPRKYczHX41JGTAazfA3iXw9Ay47j+QqhnGRUTEh0Z9AxL72fooexE8dRZ843XoNrjNp46NCuXacb25dlxv8suq+HjTQd5fl8uyrALmbD7EnM2HiAgN4uzBKVw6IpWzBnYjIjS47a9JRNoF4/i5f4lmJPc+x3Ho/9OPqHU5bH/4QsJCTtGasvSgrZByVkJoFHztX7YduIhIK7V0RvJAoPooABXnwGvfgANrIawLXPUMDLzQK5c6VFLJhxsO8P66XFbvLWpY3yU8hHOHpHDpyFSm9ks+dR0qIgGppfWRPuGdgDGGqJY+PQLo2h1u+QBGXg81FfDfm2DeIx6ZwVxERKTFYnvCrR/BsKugugxevR4W/cErAwelxERw6xnp/O/bZ/DFj2fwfxcOYnjPWMqqanl7TQ63vbCS8b+Zy4/fXM8XO45QW6c6UaQjUrO6TiI6PISSyloqquuIi2rBAaERcMU/IWUYzPk5LPgdHN5snyKFRXu9vCIiIoAdqOGqZyFlKHz2a/jsV3BoM1z+NwiN9Mole8VHcef0TO6cnkn2kXJmr8/l/XUH2HaolNdX7uP1lftIjA7jouGpXDIilfFpCQQFGa+URUR8S0+OOolWPTmqZwxMuQe+8QaEx8KW9+DZ86For5dKKSIichzGwLQf2H6wYV1g45t2fr6SXK9fOi0pmntm9ueT+8/k0/vP5N6Z/chIiia/vJqXl+7h608t5czH5rHzcJnXyyIi3qdw1EnUTwRbXnWCEetOpv85doK+hEw4tMF2jN29wLMFFBEROZVBF8GsuRCfZvshPTkd9iz22eUHpHTl++cN5LMfTGf2d6dy1/RMesZFsr/wKE/M2e6zcoiI9ygcdRJRDcN5t+LJUVNJ/W1AyjwbKvLh5Svgy79owlgREfGtboPh9nmQfiaUH4YXL4VlT/q0PjLGMKxnLD+5cBBv3T2FkCDDx5sOklN01GdlEBHvUDjqJOrna6g4nSdH9SLj4YY3YNoDdsLYOT+HN2+FKjUlEBERH4pKgBvfhinfBVctfPQjePtOqK7weVG6x0Zw0fBU6lwOLy3J9vn1RcSzFI46iYY+RzVtCEcAQcFw9s/h6/+GsK6w6W145hw4stMDpRQREWmh4BA472G4+nkIjYb1r8Oz50FBls+LctvUdABeXba3dX17RSTgKBx1EtFh9U+OPPSlPfgSuGMeJA2EvC12wtitH3rm3CIiIi017Mqv9ovdMdenRRjVO47RfeIoqazliTnbKSyv9un1RcRzFI46iciGPkdtfHLUVH0/pMGXQVUJvHY9fP4bcHnwGiIiIqfSbTDc/jkMuBAqi+DfV8OCx3w6P9/t0zIAeHpRFuN/M5ebn1vOGyv3UXy0xmdlEJG2UzjqJKLD3c3qPPXkqF54V7j2JTjnl2CCYOHv4T9fh6OFnr2OiIjIyUTG2aG+Z/zULs97GF6/ESqLfXL5i4an8pfrRzOtfxIOsGB7Hj98cz3jH57LrBdX8M6aHMo8XQeLiMdpEthOomEob08+OapnDEy9D1JHwpu3wc45tlnDNS9Cj1Gev56IiMjxBAXB9B9B6ij43yzY9gE8NcPexOs+zOuXv2xkDy4b2YP8sio+2niQD9YfYGlWPnO3HGbulsOEhwQxY2A3LhmZysxB3RrqZhEJHHpy1ElEu5vVHfVmR9HMGXDnAlspFWbbjrErntVw3yIi4lsDzoM75kPKMCjYBc+cDWte8dnlE7uEc+Okvrx6xySWPXg2v7xsKOPT4qmqdfHxpoPc8581jP31XO75z2o+3niQyrYOliQiHqNw1El49clRU3F94LZPYNxtUFcFH3wf3poFVaXeva6IiEhTCRnwrTkw+kaorYR3vwNv3w3V5T4tRreuEdw8JY037prCkv+byc8uHsyo3nEcralj9voD3PXKKsY9PJf7XlvD3M2HqKpVUBLxJz3P7SSi6vsc+WKI0dAIuOQJ6DMF3v8ebHwTDqyDa1+ElKHev76IiAhAWBRc/ndbH33wA1j3H8hdY+uj5IE+L05qbCSzpmUwa1oG+woq+GDDAWavz2VjTgnvrM3lnbW5dI0I4fyh3blkRCpn9EsiNFj3sUV8SeGok6gfyru8LZPAttaIa2w/pP/e5B7u+2y4+A8w+gbflUFERGT0DbYP7H9vtvXRUzPg0j/bespPeidEcdf0TO6ankn2kXJmr89l9voDbD1Yypur9vPmqv3ER4VywbDuXDy8B5MyEghRUBLxOn3KOomGSWB9PTld8gA7vOqoG6D2KLz7bXjnO36ZxVxERDqxlKF2fr5hV0NNuR2w4f37oKbS3yUjLSmae2b25+P7zmTu98/kvnP6069bFworanh1+T5ufHYZkx75jJ+9s4Glu/Opc6kvr4i3KBx1EtHh7klgvd3n6HjCouCKf9imDSERsPYV2zn2yA7fl0VERDqv8K5w1TO26XdwGKx6Hp49Bwp2+7tkDfp168p95wxgzv1n8vF907hnRj/SEqM4UlbNK0v3ct1TS7n+6aUKSCJeonDUSUQ2PDnyY0fP0TfCrM8gsR8c3myH+173uv/KIyIinY8xdtCgb82B+DQ4uAGenA4b3/J3yZoxxjCoewwPnD+QeQ+cxezvTuWu6ZnERYWyPKuATzcd9HcRRTokj4YjY8xoY8xiY0yRMWauMSbJk+eX09fY58jPE9B1H2aHVx12FVSXwdt3wP/u1Gh2IuJRqo/klHqMgjsXwuBLoarEztP37j0+H82uJYwxDOsZy08uHMR9Z/cH4MmFu3E0VYaIx3ksHBljwoFrgXOBXkAX4PueOr+0TeNodQEwRGh4V7jqWbjsrxASCetfgyfPhJzV/i6ZiHQAqo+kxSJi4dqX7WBBweGw5mXbquHgBn+X7ISuHd+buKhQ1u4rYuWeQn8XR6TD8eSTo3jgIcdxyh3HKQMWAC4Pnl/aICrUhqPy6trAuNNkDIy5yU4amzLMtvd+9jxY/Fdw6ddGRNpE9ZG0nDEwfpYdrCF5EBzZDk/PhGVPBuQk5lFhIXxzUl8AnlwQOH2lRDoKj4Ujx3EOOo5TBQ137VKAJzx1fmmbkOAgwkOCcByoqg2gvxGSB9p+SBPuAFcNfPoz+M81UHbY3yUTkXZK9ZGclpShcPs8GHsr1FXDRz+CV6+H8nx/l+wrbpqcRlhIEHO3HOK+19bw6aaDVNYEQMsQkQ7A4wMyGGMuA5YD5wCa8TOA1A/n7fd+R8cKjYCLHoPrXoXIeNg5F/55Buz8zN8lE5F2TPWRtFpYFFz6J7jmRdvkbvtH8K8zIGuhv0vWTHLXcO6Z0Q+Ad9bmcsfLqxj38Fzue20NWw6U+Ll0Iu2bN0arex+4AlgIvHK8HYwxdxhjVhpjVubl5XmhCHI8UWF+HM67JQZdBHcvhrRpUH4YXrkSPv051Fb7u2Qi0j6pPpLTM/QKuOsL6D0JSg/Ai5fBZ7+GusC5uXjv2f2Z/8BZ/OiCgQztEUNZVS3vrM3lhmeW+X5OQ5EOxOPhyLGygG8BScaY5OPs85TjOOMcxxmXnPyVzeIl0eGN/Y4CVkwPuOldmPkzMMGw+C92Doq8bf4umYi0M6qPpE3i+sAtH8D0H9t+SYseh+fOg/xd/i5Zg7SkaL59Vj8+uHca8x84i6E9Yigor+b1Ffv8XTSRdstr8xw5jnMUyAcKvHUNaZ2ohuG8A/TJUb2gYDjzh3DrR7ZyOrDOjmYXoJ1jRSSwqT6S0xYcAjMehJvfh5hekLMK/jUVVj4XcPVRWlI0351ph/l+ZlEWNXUB1L9YpB3x5FDeicaYS40xxr08HXjZcZwA/0u886h/cnQ0UJvVHavPRLjrSxh1A9RW2s6xr1wJJQf8XTIRCWCqj8Tj0qbC3V/C8GugpgJm3w+vXhdwgwedNySFjORocoqO8v66XH8XR6Rd8uSTo3TgGWCBMeZeIBP4mQfPL20UGep+chTIzeqOFREDV/wDrn3JDtaw63P452TY9I6/SyYigUv1kXheZBxc9Yydpy8iFrZ/DP+YDFs/9HfJGgQFGe6angnAvxbswuUKrKdbIu2BJ4fyXuk4TorjOGc6jvMXx3GecxxHz3QDSHTDRLDtKBzVG3I53L0EMs+Go4Xwxs3w9t1QqVF5RKQ51UfiVcOvtoMHpZ8JFUfgtevhve9CVZm/SwbAFaN60j0mgu2Hyvh8a2A92RJpD7zW50gCT7vpc3QiMalw41tw0eMQEgHr/mOH/N6z2N8lExGRziS2F3zzXTj/txAcDqtfsn2R9i33d8kICwli1rR0wD49EpHWUTjqRKLD2vGTo3rGwITb4c5FkDoKivfC8xfZIb9rKv1dOhER6SyCgmDyd+CO+ZAyDAqz4Lnz7ZDftVV+Ldp1E/oQGxnKyj2FrMjWOCQiraFw1IlENYSjdvrkqKnkAfCtOTDtARuYFv/FjmiXs8rfJRMRkc4kZQjc/jlMudeOYLfocXhqhh1p1U+6hIdw8+S+APxzvp4eibSGwlEnEhUe4JPAtlZIGJz9c7jtE0jsB0e2wTPnwme/8vtdOxER6URCwuG8X8OtH0J8OhzeBE/PhPm/g7oavxTp5ilpRIQG8fnWw2w9qP65Ii2lcNSJ1DerK69qx83qjqf3BDuT+eR7wHHBoj/AU2dB7lp/l0xERDqTvlPskN8T7gRXLcx/BJ6eAQc3+rwoiV3C+fq43gA8uWC3z68v0l4pHHUi9QMydJgnR02FRsL5v4HbPoaEDDi82d61m/dbqK32d+lERKSzCIuGi34PN8+GuL5wcIO9YbfwMajz7c3JWdMyCA4yvLcul30FFT69tkh7pXDUidQP5d3hnhw11WeSnTh24t32KdKCR21IOrjB3yUTEZHOJH2aHfJ7/Cxw1cDnD8MzZ8PhLT4rQu+EKC4dkUqdy+HZL7J8dl2R9kzhqBOJdD85OlrTAZ8cNRUWBRf+Dm75AOLT4JD7rt38R/UUSUREfCe8C1z8B7jpXYjtDQfW2sGDFv3BZ32R7jrLTgr72oq95JepP67IqSgcdSIdts/RiaSdYe/aTbjD3fb7t/DUdNivEe1ERMSHMs6y9dHYW6Cu2g4c9PQMn/SNHdQ9hpmDulFZ4+LBtzewIruAOpfj9euKtFcKR51Ih+5zdCJh0XDRY7btd31fpGfPgY8fhOpyf5dOREQ6i4gYuPTP8M23Ia6Pbe799EyY8wuoOerVS39nRj+CgwyfbDrENf9awuV//4LKjt6KROQ0KRx1IvV9jvYWVPDbD7fw2ZZDFB/1zxCjPlff9vuM7wEGlv4d/jEZds3zd8lERKQzyZwJ314Kk74DOPDln+GfUyBrkdcuObZvPG9/ewrfmppOUpcwNuaU8N+V+7x2PZH2zDiOfx+tjhs3zlm5cqVfy9BZVNbUMf2xeRwqaWxzbAwMSY1hYnoiE9ITmJieQHx0mB9L6QO5a+G9exoHaRh1A5z3MEQl+LdcIh2QMWaV4zjj/F2OllB9JD63f5Wtjw5vtstjboZzfwWRcV675EcbDnD3v1fTMy6S+T88i9Bg3SeXzqGl9ZHCUSdTUV3LiuxClu3OZ1lWAev3F1FT1/x3YGBKVyZmJDQEpuSu4X4qrRfV1cDiv7on6KuC6G526NUhV9jEKCIeoXAkcgq11fDln9xDfVdDl+52EIfBl3jlci6Xw7lPLGBXXjmPXzOSq8f28sp1RAKNwpG0yNHqOtbsLWRpVgHLduezZl8R1bWuZvtkJEczMT2RSe7A1D02wk+l9YIjO+H9e2HPl3Z54MU2JMWqshDxBIUjkRY6vNXWR/uW2eUhl8MFj0JMqscv9daq/fzgjXVkJEcz5/7pBAfppqB0fApHclqqautYt6+44cnSqj2FXxn6u09CFBPTE5iYkcjE9AR6J0T5qbQe4nLB6hdgzv+DqhII6wIzHrQznAeH+Lt0Iu2awpFIK7hcsOIZ+OyXUF0G4TEw8+cw/lsQFOyxy9TUuTjrsfnkFB0lJSacmYNS+N7Z/TvWzU+RYygciUfU1LnYkFPMst0FLMvKZ2V2IWXHDAXeMy6yob/SxIxE0hKjMO2xaVpJLnz0Y9jynl3uPhwu+TP0Guvfcom0YwpHIqehaB989CPY9qFd7jEaLvkT9BjlsUt8seMID7yxjoMllQCM6RPHW3dPaZ/1t0gLKByJV9TWudhyoJRlWfks3V3AiuyCr4x4161ruA1LGYlMSk+gX7cu7evLdvsn8OEDULQXMDDuNjj7F17tICvSUSkcibTB1g/gwx9ByX4wQXbevhk/tcOCe4DjOGzMKeGm55ZRWFHDf2ZNZEq/JI+cWyTQKByJT7hcDtsOlTY0w1ueVUB+eXWzfRKiw5iQlsCkjAQmZybRv1sXggK9fXN1BSx4FJb8zU4g2yUFzv8tDLtKAzaItILCkUgbVZXB/Edg6T/BqYOuqXDhozD4Mo/VR3/7fAePf7qdyRmJvHrHJI+cUyTQKByJXziOw87DZSzLKrA/u/M5XFrVbJ+E6DAmZSQwKSORyRmJgf1k6dAmmH1/YwfZzJlw0eOQmOnfcom0EwpHIh5yYD3Mvg9yVtnl/ufZSc7j09p86pLKGs743eeUVtby5l2TGZemqS2k41E4koDgOA7Z+RUs253P0t35LNmd32yeJYCkLmG2CZ47LGUmRwdWWHK5YM3LdhbzyiIIDoep98HU+yE00t+lEwloCkciHuSqg1XPw9xfQVUxhETCtB/AlO9CaNsGU/jjp9v4y+c7mT4gmRdvm+ChAosEDoUjCUj1YWnp7nyW7LJhKe+YJ0vJXcOZlGGHDp+ckUh6UoCEpbI8+PRnsP41uxzXB85/BAZdrKZ2IiegcCTiBaWH4JP/g41v2eX4dNvUbsD5p33KwvJqznj0cyqq63jvnjMY0Uv9bKVjUTiSdsFxHHYfKW8IS0t3F3CkrHlYSompD0v2yVJff4+Gt2cxfPhDOLTRLvc7x85FkdTPf2USCVAKRyJelLXQ1kd5W+3ygAvggkcgIeO0TvfIh1t4cuFuzhuSwlM3tYuPrUiLKRxJu+Q4Drvyyliyu4Clu2xTvGMHeOgeE+Ee3MEGpj4JfghLdbWw8jn4/GHbtCEoFKbcA2f+EMKifVsWkQCmcCTiZXU1sPwpmPcIVJfapt9nfM82/Q5r3TyEh0srmfboPKpqXXx83zQGdffMqHgigUDhSDoEx3HYcbisyZOlfAormg8d3iM2wj5ZyrRPlnw6KW1ZHnz2EKx5xS7H9ITzHoahX1NTOxEUjkR8pvSQ7Rtb3/Q7tg9c8FsYdEmr6qOH3tvEC4uzuWREKn/7xhgvFVbE9xSOpENyuRy2Hy5lqbu/0rKsAoqOCUs94yJtE7xM22+pV7wPwtL+lfDBD+DAWrucNg0u/D2kDPH+tUUCmMKRiI/tWeJu+r3BLmfOhAt+B8kDW3R4btFRpj82j1qXw5n9kzlrYDLTByQHTv9fkdOkcCSdgsvlsPVgacNIeMt251NSWdtsn94JkUxKT2xohtcjzksjzLnqYPVL8Nkv4WihnbBv7K12wr7oRO9cUyTAKRyJ+IGrzt30+9dQWQwmGCbcDtN/DFGnHqa7ft6jpvokRDF9gA1LkzMTiQoL8VbpRbxC4Ug6pTqXw5YDJSx1Dx2+LKuA0mPCUt/EqGZhqXts24Y//YqKAjth34pn7YR94bFw1o9h/O0QEubZa4kEOIUjET8qP2L7xq5+ERwXRMTBjAdh3G0QHHrSQw+XVrJw+xEWbM9j0Y68Zq00esRG8M49Z9Ctq4frTxEvUjgSwYalzbklDU+WlmcVUFbVPCxlJEczJTORKZlJTMpIJCHaQwHm8Fb45EHY9ZldTsiE839jRxNS0wTpJBSORALAwY126O+shXY5aSCc/1vof06LDq9zOazbX8T8bXm8uzaHPfkVzJqazs8uUdNxaT8UjkSOo7bOxSZ3WFq8K58V2QVUVNc122dQ965MyUxiSmYiEzISiIk4+d21k3Ic2DHHhqT8HXZdxgxbKak/knQCCkciAcJxYNuH8MlPoTDLrut3rq2Pkge0+DQbc4q55K9fEBEaxKIfzSS5a7iXCiziWQpHIi1QU+di/f4iluyyYWnlnkKqa10N24MMDO8Zy2R3WBqXFn967azramDFM7a5XWWx7Y807jY460H1R5IOTeFIJMDUVtmhvxf8HqpKICgExs9qcX8kgFkvrmTulkPcPi2dn16sG33SPigciZyGypo6Vu8tZMkuO3T42n1F1LoaPyOhwYbRveOZlJnIlMxERveJIzwkuOUX+Ep/pBiYeh9MvLvV81GItAcKRyIBqiwP5v2mSX+kWJj2A5hwJ4SevC/Rhv3FXPo3+/ToP7dPYlSvOIKC1FxcApvCkYgHlFfVsiK7wIal3flsyCmm6UcmPCSI8Wl2QtrJmYmM6BlLSHDQqU98eCt8+jPYOccud+1hO8mO+gYEtSJsiQQ4hSORAHdwI3z6U9g93y7H9oaZP4Ph10LQieuzWS+uYO6WwwAkRIcxtV8S0/oncc7gFOI91XdXxIMUjkS8oLiihmVZtgne0t35bD1Y2mx7l/AQJqQnMMU9Et6Q1JiT303bPd9O2ndgnV3uNgTO+SX0P1eDNkiHoHAk0k7s/MzWR4c22uWU4XDer+w8SceRX1bFH+ZsZ8G2PHKKjjasT4kJ55P7ziQuSgFJAovCkYgPHCmrahjcYcmufLKOlDfbHhcVyqT0RKb0s83wMpO7fHUSPZcLNr4Fn/8KivbadWnT4NxfQU/NTi7tm8KRSDviqoP1/7XDf5fst+syZtj6KHXEcQ9xHIfdR8pZtD2PV5btZefhMr47sx8/OK9lk86K+IrCkYgfHCg+2jC4w5Jd+c3upgEkdw1nckZiw9DhvRMiG8NSbZUdtGHB76GyyK4bdhXM/DkkpPv4lYh4hsKRSDtUcxSWPQmL/ghVxYCBEV+HmT+FuD4nPGzVngKu+ucSosOC+eLHM9W8TgKKwpGInzmOw96CioawtHhXPkfKqprt0zMuksnuwR0mZyaSGhsJRwvhiydg6b+grgqCQu3M5mf+sMUjCYkECoUjkXasogAWPg4rnoa6aggOh4l32IEbIuOPe8jNzy1nwfY87j4rkx9fMMjHBRY5MYUj0ChGDAAAIABJREFUkQDjOA678spsUNppB3goPlrTbJ+MpOiGkfCmJB0lYdljsO41wLEj202+ByZ/G8K7+udFiLSSwpFIB1CYbZvabXjDLkfEwpR7YeJdEN6l2a5r9xVxxd+/JCosmIU/mkFSF82DJIFB4UgkwLlcDpsPNE5Iu2x3PuXHmZD2iu75XF34DEmHvrArIxNg6v32aVJopB9KLtJyCkciHUjuGjtoQ9ZCuxydDFO/b+ftazL897deWMFnWw9zx5kZPHjRYD8VVqQ5hSORdqamzsWGnOKGOZZWZBdQ1WRC2slBm/lF1FsMrt0CgKtLCkFn/hDG3AwhatctgUnhSKSDcRw70urnv4acVXZdTE/b9Hv0jRAcysacYi75q50HaeGPZtCt68nnTRLxBYUjkXauqraONXuL7LDhu/JZs6+QmjoXZwWt5YGQNxgWlA1AcXgqeWPvp9f0W4gIV/MFCSwKRyIdlOPAto/sRLL1w3/Hp9s5+4ZdxR2vrOHTzYe47Yx0fnHpEP+WVQSFI5EOp6K6lpXZhe6wlEfPA3O4L/hN+gflALDL6cHshFsIHnYFk/t1Y0SvWEJbMiGtiBcpHIl0cC4XbPofzH8E8nfadcmD2Tfqfqa9H01YSDCLfjSDlBg9PRL/UjgS6eBKKmtYvjOP0pWvMnHvU/RwHQRgk6svf6i9hmUh4xifnugeOjyJIT1iCD7ZhLQiXqBwJNJJ1NXCuldhwaNQvA+APeED+EXp11gdNoaJ6UkNI7MOTOl68gnSRbxA4UikM6mroWzp8wR/8TiRRw8BsNaVyZ9rr2SeaxRgiIkIYWJG47DhA7qpchLvUzgS6WRqq2D1S7DwMSiz9dFK1wD+Uvs1FrpGAIaMpGj+c/skusfqaZL4jsKRSGdUcxRWPmcn7qs4AsD+iIH8zXUlr5UMAxrDUGJ0GJMyEhvmWUpPim6ckFbEQxSORDqp6go7P9IXf4KjBQDsiRjCH6q/xnsVQ7h+Qh8euXKEnwspnYlfwpExZjrwFyADWALMchxn78mOUWUk4gXV5bDyefjyz1B+2K5KGsaKvrN4q3wkX+4u4FBJ8wlpU2LCmZKZxGR3YOqdEOWPkksH469wpPpIJEBUlcKKZ2HxX6AiH4B1rgz+WncVP7vvPtKSu5ziBCKe4fNwZIzpBjzu/ukBPAnscBznnJMdp8pIxIuqK2D1i/bOXZntk0TKMJwzf0hW8kyWZBU2jIaXX17d7NBe8ZF2MtrMJCZnJqozrZwWf4Qj1UciAai63LZs+PLPUJ4HwL6IAfS+4iEYeBGo5YJ4mT/C0fXAh47jFLuXbwX+6TjOSf+iUmUk4gM1R2H1y/DFE1Caa9clD4bpP4QhV+CYILYfKmPxriMs2ZXP0t35lFTWNjtFRnJ0w+AOkzISSNSs59ICfgpHqo9EAlV1BYWLnqJm4RN0M0UA1CYPJWTGT2DQJRCkUVbFO/ze58gYcyHwZ8dxBpxsP1VGIj5UUwlr3CGpxA4BTtJAOPMBGHolBIcAUOdy2HKgpCEsLc8qoLy6rtmpBnXvyuRMOxrexIxEYiNDff1qpB0IhD5Hqo9EAs+v3l5F3coXuTvkPbqbQruy2xA7meyQyyEo2L8FlA4nEMLRT4GjjuP88WT7qTIS8YPaKlj7bztwg3vIVeLTYMq9MOoGCG1+g72mzsX6/cUs3Z3P4l1HWJldSFWtq2F7kIGhPWKZkpnIpMxEJqQlEB0e4sMXJIEqQMKR6iORAFNZU8ezX2SxbHsuGfv+xx3B79LD2IEbSMiEM74HI6+DELVSEM/wazgyxkQDzwE3OI5Te5ztdwB3APTp02fsnj17PF4GEWmB2mpY/5p9klSw266L7gaT7obx34KI2OMeVlVbx5q9RSzZlc+SXfms2VdITV3jd0lIkGFEr1imZNp5Lcb0jSciVHcBOyN/hyPVRyKB75GPtvD8gm38pPsqbuNdKHJ/Drt0h8nfgXG3QnhX/xZS2j1/h6OHsO27D51qX92pEwkArjrY8p59knRwvV0XHgPjboNJ34auKSc9vKK6llV77OAOS3bls35/Ea4mXy1hIUGM6RPH5IwkpvRLZGSvOMJC1K68MwiAcPQQqo9EAlpRRTXTfj+P0spa/nPbWKZUfWFv2h3aaHeIiIXxt9sbd9FJ/i2stFt+C0fuu3DzHMfZ4V4Ocxyn+kT7qzISCSCOA7s+t5VS9iK7LjgcRt8AU74LCRktOk1pZQ0rsgtYvDOfJbvz2XyghKZfNZGhwYxLi28YCW9YjxhCghWWOiJ/hiPVRyLtx98+38Hjn25ncGoMPzx/AGP7xBObs8DetNu72O4UEgljvgmT74H4vv4tsLQ7/prn6BagDljhXpUCpDuO88KJjlFlJBKg9q+0IWnrbLtsgmDo1+CM+yC1dRP3FZZXsyzLPlVavCufHYfLmm3vGh7ChPQEO8BDZiKDu8cQFKRhXTsCP85zdAuqj0TajfKqWs56fD55pXYOPmNgUPcYJqTFc37MHsbue4Hw3Z/anU0wDL/a1kcpQ/xYamlP/DGU9wXAbODYjgUDHcfZfqLjVBmJBLi8bXZeivWvg8vdZSNzpm0Hnnn2ac1Ncbi0kqW7C9x9lo6QnV/RbHt8VCiT3JPRTslMJDO5C0ZzYLRLfhrKW/WRSDu0J7+c11bsY0VWAev2FzXrywowI/4I94TNZnTJZwQ57hFU+50LU+6B9OmaK0lOyu+j1bWUKiORdqJ4Pyz5O6x6AWrcYSZ5sA1JI65t04hCuUVHG54qLdl1hNziymbbk7uGM7lJWOqTEKWw1E74u89Ra6g+EgkclTV1rN1XxPKsAlZkF7BqTyEV7iklepk8ZgV/wHUh84nAtpStTBxC2NTvEjT8aggJ82fRJUApHImId1QUwKrnYdlTUHbQrovuBhNuh3HfgujENp3ecRz2FlQ0hKXFu/I5UlbVbJ+ecZFMyrBBaXJmIj3iItt0TfEehSMR8YSaOhebc0tYnlXA8mwbmExFPjcEf8bNIZ+SbIoBKAlJJHLqtwmdcBtEJfi51BJIFI5ExLtqq2HjW/Zp0qENdl1IBIy83o5wl3zS+TZbzHEcduWVNYyEt2R3PkUVNc32SUuMYlJGYsNP99iIE5xNfE3hSES8weVy2JlXxvKsAlbvOkD87ve4puY9BgW55+4LjYJR37D1UWKmfwsrAUHhSER8w3EgayEs+Rvs+LRxff/zbTvwtGkebQfucjlsPVjK4l1HWLo7n2W7Cyitaj59jcJS4FA4EhFfcByH+VsP89zLz3Fn6EdMNevcWwwMvMg2Ae87Rf2SOjGFIxHxvbxtsPQfsO41qHX3G+o+HCbcaUcWCvV887faOhcbc0tYtjufpbvzWZFdSJnCUsBQOBIRX7r1+eXM25bHA6PquCfyE1j/X6hzj+CfOgom3glDr4RQ1QOdjcKRiPhP+RFY8SyseBrK8+y6yHgYcxOMnwVxfbx26do6F5tyS1jawrA0MSOB1Fj1WfIWhSMR8aXth0q54E8LCTKGR68awZTuLlK3vQwrnoGjBXanqEQYe4vtJxvb06/lFd9ROBIR/6uphE3/g2VPwoG1dp0Jsk0cJtwB6Wd6vYmDwpJ/KRyJiK/95K31vLZiX8NyamwEk3pH8a24VQzb/xocdPeTNcEw6GL7NKnvGWpy18EpHIlI4HAcO6ns8idh0zvgcg+okDzIjnI34joI7+KTotTWudh8oD4sFbA8q+ArYalvYhST0hOZlJnApIxEhaU2UDgSEV+rrKnjxcXZLNmdz+o9hZRUNn7HvzprIpNDd8Dyp2DLe43z93UbChPvgOHXQliUn0ou3qRwJCKBqfSQnStp5XONQ4GHx8LoG2yTOx+PKqSw5F0KRyLiTy6Xw47DZbywOJtXl+9lWM8Y3vvOVIKCDJTkwsrn7fQU9U3AI2Jh9DdtfZSQ7t/Ci0cpHIlIYKuttnftlj8N+5Y2rs88G8bdCgMuhOAQ3xdLYcmjFI5EJBAcra5jxuPzOVhSyR+vHcmVY3o1bqytgs3v2ibgOfXfAQb6nwtjb4X+5/mlPhLPUjgSkfYjd60NSRvegDr3hK9dU+3duzE3QVxvvxWttWFpYrompW1K4UhEAsWbq/bzwBvr6B4TwUvfmkC/5C72CVJTOatsfbTxrcZR7mJ62rpozE0Q08P3BRePUDgSkfanosAOA77yOcjfYdeZIHvXbuyt9i5eULBfi3hsWFqR9dV5lnrFRzIhPYGJ6TYs9U2MwnTSjr4KRyISKFwuh0v/9gWbcksA6Boewqg+cYzuE8/oPnGM6R1PbFSo3bk8H9b+2zYDL9hl15lgGHCBbd2QOdPv9ZG0jsKRiLRfjgN7vrQhafN7jQM4xPSCsTfbJ0oxqf4to9tXwlJ2AaWVzcNSt67hDWFpQnoi/bsd525lB6VwJCKBZE9+OY9/up1V2QXkFld+ZXtmcjSj+8Qzxh2YBnSLJnjPF7Y+2jq7cQCHuD4wxl0fdU3x8auQ06FwJCIdQ/kRe/du5fNQmGXXmWAYeKF9mpQ5I6Du3tW5HLYeLGF5VkHDT355dbN94qJCGZ9WH5YSGJIaQ0hwkJ9K7F0KRyISqA4WV7JmbyGr9xayZm8R63OKqa51NdsnOiyYkb3jGNMnnkndahhT8CFRG16Gor12h6AQOxz42Fsg/SwI6pjf5R2BwpGIdCwuF2QtsKMKbf2g8e5dTC8Y9Q37E4AjCzmOw668Mpa5g9Ky3QUcLGl+t7JLeAhj+8Y3PF0a3iuW8JDACXxtoXAkIu1Fda1tCWADUxFr9hayv/DoV/YbkBzFU2eUkpb9Omz7CJw6uyG2jx15ddQ3vDrZuZwehSMR6bhKD8Gal+1PYXbj+rRptsPs4EshNDAHRXAch/2FR91hKZ/lWQVk51c02yc8JIjRfeKYkJ7IxPQExvSJJzKsfYYlhSMRac8Ol1SyZl+Rfbq0p4j1OUVU1rgYmNKVD+6dSkj5QVjziq2P6p8mYSBjum1yN+gSCI3w62sQS+FIRDo+l8v2TVrzih2GtdZ9hy88FoZfZSumHqMDftbzg8WVLM9uDEvbD5U12x4SZBjRK7YhLI1NiycmItRPpW0dhSMR6Ugqa+o474mF7C2o4JeXDeXmKWl2g8sF2Qvd9dF7jSOvRsTaiWXHfBNSR/qt3KJwJCKdTWWxHXp1zSt2KNZ63YbC6BthxNchOtF/5WuFgvJqVmQ39lnalFuMq8lXdZCBwakxDc3wxqclkNgl3H8FPgmFIxHpaD7ddJA7Xl5FTEQI8384g4TosOY7HC2EDW/a+ujA2sb13Yfbm3bDr4GoBN8WWhSORKQTO7TZVkrrX4OKfLsuKBQGnA8jr7dDg4eEnfwcAaS0soaVewobwtL6/UXU1DX/7s5MjmZCegLj+tqw1DshMiCGD1c4EpGOxnEcbnpuOYt2HKFfty5M7ZfEqN5xjOwdR9qxUzcc3OCuj163oQkgOMwOKjTyeuh3DgS3j5YA7Z3CkYhIbTVs/9i2Bd85Fxz3KESR8TDsKhhxHfQaF/DN7o51tLqONfsaw9LqvYVU1jQfYSklJpxxaQmM7xvP+PQEBnWPIdgPw4crHIlIR7TzcBnX/GsxhRU1zdbHRoYyolesDUu9bGBK7hoOtVWw7UNY/TLs+hxw//0dlQjDroaRX4ceY9pdfdSeKByJiDRVcgA2vGHv3h3a2Lg+IRNGXgcjroX4NL8Vry2qa11szC1mZXYBy7MKWbmngKJjKuwu4SGM6RvfEJZG9Y4jItT7gzwoHIlIR1VSWcO6fUWs21fE2n3FrN1XxJGyqq/s1zMukpG9YzmzfzLXjutNUGmurY/WvQZ5Wxp3TBpgm4CP+DrE9fbhK+kcFI5ERE7k4AZbKW14A8oONa7vM8UGpaFX2E607ZTL5bD7SBkrsgtZkVXAij0F7CtoPhxtaLBhWM9YJqQlMC4tgXF944k/tt28BygciUhn4TgOB4orbWDaX8y6fUWs319EeXVdwz6/uGQIt01Nrz8ADq5vrI/K8xpPljbN1keDL4OIGB+/ko5J4UhE5FTqaiFrvq2YtsxuHO0uONy2Bx9+NfQ7t0MMw3qwuJIV2QWszC5gRXYhWw6WcOzXf79uXRiflsD4tHjGpyXQK77t/ZYUjkSkM6tzOezOK2POlkP8/uNtdAkP4fMfTKdbzDH1Sl2tbW637lXb/K7WPR9eSCQMusg2vet3TrvqLxtoFI5ERFqjqtQOv7r+NchaREN78PBYGHyJ7aOUPh2CQ/xaTE8pqaxh9Z5CVmYXsjy7gHX7iqg6Zmb4e8/uz/fPHdCm6ygciYhYs15cwdwth7lsZA/+cv3oE+9YWWynp1j3Ouz5onF9RKx9kjT8avtkKah9zn/nLwpHIiKnq3i/HRZ8w5u2yUO96GQYcoWtmHpNgKAg/5XRw6pq69iYU+J+slTAyj2FPHrVCM4f2r1N51U4EhGx9hVUcO4TC6iscXHLlDTG9o1neM9Y+h47wl1ThXtsfbTxreb9ZbukwNCv2Rt3vcZrIIcWUDgSEfGEIztsSNr4JuTvbFwf2xuGXWkrpu4jOlzF5HI5uByHkOC2BUCFIxGRRv+cv4tHP97abF3XiBCG9ohheM9YhvWMZXjPWNISowk6doTRw1ttXbThTSjMalwf18fWRcOuhpShHa4+8hSFIxERT3IcOLDOVkwb/wclOY3bkgbYO3hDLoduQ1QxNaFwJCLSyHEcFu04wsrsAjbmlrAhp5i80q+OcNclPIQh7sBkQ1MM6Uld7JQMjgO5a9xPlP4HpbmNByYPctdHV0C3QT58ZYFP4UhExFtcLti3zAalTe9AxZHGbYn9bEgacnmHfKLUWgpHIiInd6ikkg37i9mYW8zGnGI25BRzqOSrgSkqLJihPWIY2sMGpuG9YslMiiJ43xL7NGnzu3C0oPGApIGN9ZGeKCkciYj4RF0tZC2wldLW2VCR37gtPs1dMV0BPUZ3yopJ4UhEpPUOl1ayKcc+Wdro/sktrvzKfpGhwQxO7WrDUmoUE9lAz9w5BG2bDUcLG3dMyGwMSqkjVR+dbD+FIxERD6mrhT1f2qC05X0oP9y4LbYPDLnMBqWeYzvUYA4no3AkIuIZR8qq2JhTzKbcEjbst0+YcoqOfmW/8JAghnWP4tLYXUyr+ZK+h+cRUtnkxl1cXxuShl4BPcZ0mqCkcCQi4k+uOti71B2U3oPSA43bYnra4ViHXA69J3To4VgVjkREvKewvJqNucVNnjCVsLegotk+wdQxJXQ710evZlrtErrWNml6F9vb1kWDL7Oj3nXgG3cKRyIigcLlgv3LbVDa/G7zwRyikmDgBTDwYsicAaGR/iunFygciYj4VnFFTbP+SxtzisnOt4EpCBdjzXYuCl7GhcHL6W4am97VRCZjBl5IyJBL7Lx+HWAC9KYUjkREApHLBbmrYfM7dtLZoj2N20KjIHMmDLwIBlwA0Yn+K6eHKByJiPhfSWUNm3JKGgNTbjHZR0oZxU4uCl7GBcEr6GUaBxeqMpHkJk2mdsBFpIy5nJjEbn4svWcoHImIBDrHgcNbYOsHsO0DOzRrPRMEfSbboDToIkjI8F8520DhSEQkMJVV1bIpp5iNuSVs2l/E0f3rGVC0kHOCVjI8KLthv1oniPXBQ9gRfyYV6efTO2MwQ3vG0D0m4sST1wYghSMRkfamOAe2f2TDUtYicNU0bkseDIMutkEpdXS7aReucCQi0n5U1tSx7WApWbu2EbzjI3ofnsfQ6g2EmrqGfba4+vCpayzLwyYR1GMUQ3rGMrRHLEN7xJB+vMlrA4TCkYhIe1ZZDDvnwtYPYcccqCpu3NalO/Q/FwacDxlnQXhXf5XylBSORETat9ryQvLWzKZu82ySDy4k3NU44MMBJ4F5dSOZ5xrNl65hEBbN4NQY93xMdk6m/ildCA/x/8BDCkciIh1FbTXs+cIGpW0fNh/QISgU+k6B/ufZsJTYL6CGZVU4EhHpQGqrIHsRztYPqdv6ISFljSOxVhPC0rrBzHONYp5rFNlOKgChwYZ+3bo2C0yDU7vSNSLUp0VXOBIR6YgcBw5thO2f2CdK+5eD42rcHp8G/c+3YSltqt9HG1I4EhHpoBwHDq6H7Z/Cjk9g/0qgMVccDu3FIkbzTvkwlrkGUU3zMJSWGMXQHrEMcYemIT1i6NbVe3WWwpGISGdQUQC7PrdhaedcONpk/oqQSMiYboNS//MgrrfPi6dwJCLSSZTn23pox6f2v5VFDZvqQqLISZjIipBxvFcxlCV5EVTXub5yiqQu4QzpEcOQ1BjOHtyN8WkJHiuewpGISGfjqoOcVe6nSp/aO3pNJQ+CzLOh30zoe4ZP5lRSOBIR6YTqaiFnZWN9dGhjs82u5MEUpk5jY+Q4FlX1Z/3BKrYcKKG0qrbZfi/eNoHpA5I9UiSFIxGRzq7kAOycYyun3fOhuqxxW3C47auUORP6nQ3dhnilr5LCkYiIUJxjQ9KOObY+qilv3BYSAX3PwMmcycHkM1hX2Z1Ptxzif6tzSIwO46PvTaNbTNub2ykciYhIo9pq2LfMNsHb9RkcWNd8e5fuNihlzoTMGRCd5JHLKhyJiEgztVWwd2ljfXRwQ/PtXXvgypzB3/f24dncNIb2S+Ol2yYS3MYhwhWORETkxMqPwK55jZVT2aEmGw2kjoQp34XhV7fpMgpHIiJyUqWH7NOkXZ/ZOqk8r2GTC8N6VzoHht3Fhdfe2abLtLQ+CmnTVUREpH2KToIR19gfx4HDm2Gnu2LasxgOrIXq8lOfR0REpC26psDIr9sfl8v2T6q/cbdnCaPYTXJKuM+K45VwZIyJAMIdxyk+5c4iIuJfxkDKUPtzxr1QXQF7F0P3kf4uWZupPhIRaUeCgiB1hP2Zeh9B1eXU7V5Ezz4TfFcET57MGBNkjLkF2A6M9+S5RUTER8KioN850MUzIwT5g+ojEZEOICya4EEXQJTnhvQ+FY+GIyAJ+Azw/WQaIiIijVQfiYhIq3m0WZ3jOIcBjBeGgxUREWkp1UciInI6PP3kSEREREREpF1SOBIREREREcFP4cgYc4cxZqUxZmVeXt6pDxAREfEC1UciItKUX8KR4zhPOY4zznGcccnJ7Xc0JBERad9UH4mISFNqViciIiIiIoIXwpExRoFLRET8TvWRiIi0lkeH8jbGdANmuRdvMMbkOI6z5WTHrFq16ogxZk8bL50EHGnjOQKdXmPHoNfYMeg1tlxfD5yj1VQfeZVeY8eg19gx6DW2XIvqI+M4jgeu5V/GmJWO44zzdzm8Sa+xY9Br7Bj0GuVEOsP7ptfYMeg1dgx6jZ6nJgciIiIiIiIoHImIiIiIiAAdJxw95e8C+IBeY8eg19gx6DXKiXSG902vsWPQa+wY9Bo9rEP0ORIREREREWmrjvLkSEREREREpE0UjkRERERERFA4EhERERERARSOREREREREAIUjERERERERQOFIREREREQEUDgSEREREREBFI5EREREREQAhSMRERERERFA4UhERERERARQOBIREREREQEUjkRERERERACFIxEREREREUDhSEREREREBFA4Om3GutEYs8gYs8QY85ExZo8xxnH/XOHvMraGMWaUMeYxY8wWY0zfNpxnnTHmL54sWyuuHWyMuc8YM98Y8zV/lOF0GWMSjTE/NcYsNcZM93d5AIwxfzbGrPN3OQCMMdcYY+J9fM13jTHv+OA66caY540x045Zf6UxJtLb1xffU/1xwvP4rf4IBMaY0caYfxlj5vq7LK1ljDnfGPOCMeYtf5cFwBiTZozJN8ZcEwBlSTXGXOrja042xhQaYyZ5+TpBxphvGmOeO8H264wxfzfGPGiM+a8xJvOYbcHeLN/pUjg6De5/zH8DfwN+6TjOZMdxLgTSgO8DLj8W73StBzYBgwDT0oOO88fbcmCzB8vVYo7j1AGvA9OBNn3gfP1HqeM4+cDnwETa9v6ftuOcaxuw1FPnP13GmMeBYsdxCltxjCfel/XAWg+c54SMMZcAfwVuAcKP2fwJ8EdjTDdvlkF8S/VHo0CqPwLEWsABurf1RH64sTIXSAESW3qAp8t4zPlKgWXAfk9eo7WMMcOAR7Df5y09JsQYE9LGS+djX/+RNp7nhIwxacB3gH8CA46z/VrgYeB+x3F+CzwLzDXGxLh3mQf8PRBvAiocnZ4fA9cDsxzHabjD41hPAE/4rWSnyXEcF5DdmmOMMSnAL485z+2O4/zLg0VrFcdxDnjoVE966Dyt0aqyG2OGAPd64sLGmCDgH03XOY7zD8dx7vTE+U+XMeZBoMhxnE9bccxXfi9Ph+M4P3cc56G2nucU15jNCb4vHMcpx1aq/zDGtPgPTgl4qj8IzPrD3xzHcYBDbT2PJ+uGlnLfnGxt2T1WzxpjzgEanhI5jpPvOM5FjuMs8dQ1TqNMycBLwA8cx6luxaG/AHq15dqO42x3HOcCx3F2tuU8p7hGtuM4fwXWHLvNfRPo98Ar9a/dcZxPsDeuv+tePoQNTH/0VhlPl8JRK7kT70+AXY7jvHmC3f4O1PquVL7nTvqvA1+5qx2oj0lbyhhzN/BNf5fjZIwxicCbgKfuuDwCzDjOdfz2b2mMGQDcB/yhFcec8PfyNMvgi1BSd6INjuPsBQ4Dd/mgHOJlqj+sjlx/+JsX6gav8GQ9a4xJB17mOH/T+vn36XHgDXfLkBZxtyb4qacK4Mc6bBzQF1hxzPoVwNfrFxzHWQH0NcZc6L3itZ7CUevNALoCC0+0g+M4WY7jzDbGjDHG7DTGzAcwxmS42xM77vawEcaY+40xi40x1xtjnjbG5BhjdhljRhhjzjXGzDXGFBtjGpK1MeYOY8wcY8z3jDGPGmOyjDEHjDHnuK/5vvuYV43thxNkjLnHfd1b3OeYaYzZVl+2E3Ff69fucs4xxgx1bzoPyARjhckSAAAgAElEQVTGGWMeN8YMNcZcbIx5E/cTCGNMijFmtvu6/6/JOR8yxmw07rbpxpizjDF/M8a8Zmyb9ZtOUJYexpifucs9zhizwhhz1P0e9Txm9yhjzHPGtrndZIwZ0eQ8ocaYh40xvzO2X81SY8zl7m09gUvd//94k/frZMd0NcZ83xizyv1v9qoxptRdrhhOwFgPuv/dfwrcc5x9rjLG/NUY87YxZoMx5gL3psuAnsB57nL2OMX+9eX8pTHmF8aYf7t/Yo197D8NiHef6zJjzEhjzN+wzVyalmeiu7y/MsZ8bIx51hgT5942xRjzojHmFWP7CO0wxuQZY25ocnyGMeYPxphZ7vfnTyd6f7DBaKHjOEebHP8NY/tn3O8uQ57796H+3/d4v5eXGGPedL83/zb2szHcGNPTGPOUMeZOY9vKP9zkOmcYY54G3j5J+XzlI+AnxujpUQeg+sPyef3h3jfGGPMPY8y33cc8ZYwJdW+rf42LjTGp7nVjjTGHjW0eVH+OG9zv25vu/Q8bY96pP88p3o9LjO138VP3OQqMMQeNMd8+zr7nG2PWG2NKjDFPHLPthN/DnLhuaNN39wlez2D378nDxpjfAP2O2Z5gjPm9+7rrjK2To8yJ69nj7t/kfGcb27ftIWPMF8aYK92bvoZtivh19/kija1jvgBubHJ8m+txY8wPjDHfMcb83BhT1uR9P/a96QHcALzfZF26+999k7Gf0S/d1/hzfRmA67B/mz9o7Oemj/v35V3373quMeYl9/7H/XwZY+KMMd81xiwHzjzZv6EXjXT/d98x6/cBQ4wxYU3WfQQ86JNStZTjOPppxQ/wQ2yb4N+0cP+XgPlNlme4j0/Dts3u615+A/uFFgR8CWwFLnUfc6F7nwHu5RigBJjfZN2r2F+6W93nHYptu36ue3uQ+xy3NCnLi8eU7az6srmXR7qXe7mX/wJ81mT/+cALTZZ7ANuPWdcLqAG+3WTdjcCV7v9PB1465v11AcOO814mYJucOMD9QDJwFXAU+KjJfg4wB/tFHQmsBP7XZPsrwGNNli92X/Ni9/ItuFs4tOQY93s7zn3d59zvQxpQBtx3kt+NXwCvNVm+2n2Os9zLZwC/a7L970AFkOxezgYearL9hPu7y7gAGNvkd6gS+K17+SEgu8mxicALx6wbDuQBKe7lUGAxtl9SEPZx+Wx3ua5xb/8rUAAENfk8XOb+/yjg/07y/uwFfnXMunCgEPsZGes+x3LgneP9XgIRwBT3+/qW+9/pn9jP2tvAM01+txxgmnu5D/AFTT4fXvxOOct97XNOsD3DvX2it8uiH6//W6v+aNy/4XPqXvZq/eHe/gQwt8lrKgS+2WT7R8DyJsuRwL+bLE8EdjZZ/gzY24p//+HYvjDLgfHu75n3m36+sd/FhdimRyHY71IHGNHkHCf8Hnavy6Z53dDm7+7jvJZkIBcY0uT9XHfM78RbTa6Zin0i+ph7+Ra+Ws+ebP8LsU/EjHv5t+7fjWj3csPvJ7aeGMZXf2fbVI9jv4tXNzn+B0DcCd6f27BPVEKarAsGHnCX+/tANI31/qgTfI5SgdeAg+737Eb378YJP1/Yz3izvye8/L02H/jimHX/575+5jHrH3avT22ybqb736G7t8va0h89OWq9+ke0Le0sd2znWqfhf6w97sUPHMfJcWzb7YVAhOM49XccPnf/d6j7uBLsl9Z8x3G2u7fNx35InnefdxO2/e8w9zHH6+TrHGddU/uA39HYjrgcWxkdl+M4udgvy6br9gP/w36o650HvOf+/x8Dye47Ob/Dfvksxn4pHXv+AuyXL8CfHMfJcxznLWyb1Qvq75C5/dtxnJ2OfeowBxgMYIzpj72b81aT834ArAb+3/Fe16mOcb+39Z0eX3IcJ9dxnGxsJ+XBJzhnPPbL4/kmq1ces9vP4f+3d/fxklX1ne8/XxoRA043CggKCFECMYoIrULwCdHIoHnZNw8zTlBEnhIyUSIZr2bMJepVbyAhRmOidgQURY25RkaviRIbNJMbFZvRICOCY3xE1CYMxBFBWn7zx9pHqos659Q5p+rUqerP+/Wq1zl716qq366qvVf99lp7LQ7ueW8e0L3mQYOec5Hym2iVyjVd/P/arbtk0BNV6wbwtb7VLweuqdZPmKq6m1ZBPRE4sVqf81toCdVfdfd/GNiLdqEutErrnCT/pqruoFVCg96fBwIH0rqU9cZ1F3A78HdVdU33HB9nnve5qu6sqn/sFv+uqrZW1dlVdROton1fd98Pur+HdI/7BrBgX+0kVyS5c4jbwxd6niHM7X9Hr/B5NHnWH/MYd/3R+Sjw9u7/DIjpTcDj067ZgXaM/Mue+3+ZHY9J76MlCUOpqi/QLpT/26r6bHecOYuWBJzeU/T2qvrTqtres61zx7gFj8PzvPQojt39fgf4elV9sXvOe+i59iRtlLQnAi/tPptzaN+zn7rvUw1V/nzgz6v7NU3rsvbCatdm7qCq7qqq6/qefxT1+P2Bx+Te0SQv5t66o9/PAf+z+wznXm/ufd61qv64i73/8+3flptpJzuoqndU1burXecz7/7V7eP9vyd2kOQpQ9Zff7HQ8yxg7hqr/uNE9d1Ptw0Bjlrma43cSkfD2BnNNRGu6GK5RdzVu1BVd6X1qJm3i1b/Y3rWLfSYBXXJyO+mdbM6lDYayXIS6rcBW9K6b90KfLvngPE44KKq2rzE2Hp3uE/SRkw5hL7KtXMX9/a/ntv5+g9onwNeOM/LLecx0Hb+/hHI5vw8rVVjoZF0Hkc7qznsYATzlk/yfO77w+OjQz7vnKO570hSc5Xh44C/GfCYuQPg3Pvwf9N+vF2f5MVV9dfzvNb6vscvZKH3udedvQtVdVmS/ZKcSzubC0v7fp/BPBV9n0HfyaWY61Y49I8wrVnWH0s3svqjqj6W1pX4xbQfabv2xfQx2kmh02k//p9JS17m3I92AipdHfRN4J+XsU29Se7NSW5knsSx5/Obq8OWcxwexbG73wksPAjH42itaq9YoMxQ5ZOsp7V+/eRY2n2/3jPkc8MI6vGquj7JJcAHk7ybNgrb3fM8bj1D1F9V9aPu812sDuuvv1a6f20Fjhyi3O1LeM5ecycR9uhbvwdwV+14Hdaaq+NsOVq6K2lneZ6SNsLXalrONQfLvk4hrW/wx2jNnxcCX1jO81TVlbTuEqfTzty8o+fun2JApZBkmB+7c+Z+2P7rEGXnLhzs/3FyC/NfBL2cxyxmz+7vwP7KnaW+NwuVvx+tC85K/JjB7wG0bgKL6s7mHUVrAfxAeq6F6DNXge05z/0r1p39+yDwzqpa8tmxqvpGVX1piNtQ780C5lob7lywlKaB9ccSjbL+SHIs7eTMh6vqzdz3B+c9wF8Az09yEHBz75l/2kX/DwLmrnV5DK1FY6W+z3D1FyzvOLziY/cAe7J4/XVw/8q0YaoHfffnLc+9icNK6rBR1eO/DpxN64r3hbSBgwb5AeOtv1a0f1XVHUPWX8sdAXhuGoz+9/sA2rD/vdZcHWdytETdF+Ui2gc838ABD0jy+LmHsOP7POmReJYSyzm0ftBzw232f1+K4SvPt9H6yh5WVV/qWf9l4OTseNHlA2kHn2EdQuuPO8z8GFfTuqoc17f+obTuGNCd1Ut+cgH8MI9ZqrkuWwtdLPll4PTeiiTJAcCv9cSZIctfDzwxyeN6XyD3TpY7zGf5aeDnurN4c+a6Mg71PiR5ZrXhP0+i9bn+7SQP6i9XbU6jbSxc+c5n0W1Jsjvtmom/rKp/Wc4P1SRbkmwf4rbSpHRu8tuvrPB5NGHWHzuYRP3xDuCqrrvUoJigfT570RKhd+4QcNV/ow2R/e+T/A5wfVVdOuQ2DNTVMw/n3u6PixnmONz/3q742D3A/6ANqDFf6/mXgUGTn76Uluz017MLlf8+LYnZYdTOtEENHtG7aoF4V1yPpw38s2+14eYfRUto7zOYRucGYM8sfbS8uVbFxfaNxfavBSV56pD110VLjB/4SRfSL3Pf7uCPB97ft27N1XEmR8vzUtrkVX+e5IV9P0YfTeuHOtf8+zXgyLRRXQ6kjUQC3RmSeXacXejp8thTpndn6X/cLl3ZXfvK9D7ma8CmtFFZngEcATyk+6FIz2vOPfdDgT3SRhLan3bR3F5J9u7OzN0KHJY2mtFck/X9gN5RSOa8g3YWpf8g9Ge0a0v+NskvpA1j+T7a9SDzSpt8jLQRT84A/nNV/bhn+3tHDrrf3LZ1fbzfDpyVdt3PXJP9s7j3mqNbu7+Hd8nEt4Z4zNzr9r7fuzH/PvbfaAfr30nyxG7dM7u/x3YJw5/RDiR/leT4tJm+38a9782tXYz36w7aC5V/F62v+8fSRtp5dnfQ+3LPcz0kbZSbuYNZ/2d5Pu3A3Tuq3snA31TVP/S8D/3vAT3vw+lJ5s6mXUKr9L7PYFfQXSfRZ9Br9L7PO3wve/bP3n1jD1qXoaO779DzaRXn/kn2nieefi+iXZOx2G2xbnVzZ0Xn+64cQjvr+ckh49LaZv0xufrjocBjuwT0RFor0A77fHddzuW0azRv7H1wWmvzL9BanG/qtm9jz/2PThvp7YR5Xn/OwT3//zJwG/def7krPfVX7h0Fb+79HeY43F83jOLY3e8ttJNXb+zez71pXeMOSvIY2uAWXwXemTZy3JPTegr8a7Vrgfvr2Y8tUv6Pad+/v0yyKclZwClVNfeDem6b90xyWM/7thsMXfcvVo8/iO6kRlV9p9vG+Y7vf9c9z6P61u/avXa6v/3vc+/78jNdsr/DPt1ZbP9azGcZrv76vSGe6/4M/p78P8ALcu+IkCfQ6t7+hOsQ2naPddL1Jak1MCrENN5oB6/fov3A/RrtrM/lwGuAB/aU24f2o+aO7v6nAP+VdrZhPW3kkqIdzH+GdnD5B9qPoTNpP+Be0ZX5MHAY7eLU7bTuAUd26/66K/Ofu+c9vSvzaeCoLpZfpB3Qt9H6U/8+7QfqM2g78OXdc1xIO7P5GNrZodtps7k/nXYQfx/tgPGsbvm/0i6EPZl2JuXbwL8f8J69gW5kmb71Z9NGJvsB7UfDYxd430/tYvxj2sWzHwTO7PlMXtnd/4lum54AXNe9n6d05XaljZhyVff37cDxPa+xB3ANLSk6dbHHdOXnRtF7B+2g9dzuM/9n4AnzbMv+3Xt+O61J/EW079OLaQfh0CZJ/G73vv4XuhFsusefRkss/j9g7yHKb+ye/4e0/sZP7rnvYbSzNl+mjQr0NNqB6h7amdL1Xbmju/d2M/C67nN4QHffMd3neCvtu7Yf7eLXAv6Q1m3iE7TRtP4j8CfAsxb4rJ9MaxFMz7oXdJ/l1bR95bG0FsPtwH/oyvR+Lx9Lu86paPvh03qe643dZ/R52n55efeZz43Q9Q7GPFod7YfWlV18/wU4YUCZ/wS8f9LHPG8j/dytPyZTf7yMdsz8Mi0peWO3PS/oK3fCPDEcTztOfovWBai62yu6+5/Ybe+mBWL4Gu2H81/QjqPvAx7W3Xck9x53f5NWt7yqe40twEFduXmPw939O9QNiz2GIY7d82zL6bQuj/+Tdrx8E61unBv189G07+Od3Xfh7J7HDqpnFyo/N6nov9Bakd4I3L/n/t+njSx3KS1hnvst8PfAz3dlVlSP0+rFH9IGs/gtWnK++wKf9RZ2HGnx4d1nX7R9d09anV20ROsgWj3+sW4bX07b57/QfSdeTGu5gsX3r4MZ82h13Xt0Dq1r5g9ox5z9+8qcTUuGXkFrMRo0EvGbgQsmfVzuvc0NiShNhbT5EC6pKud82QkkeQdtJK6/mtBr71NVz17t1+6J4f60H6j/R93bFUjSBCS5gDbU+Be75XW0E0uvq6qhJjRN8rXuOV41rji1NqSNengR8KRqI9Wt5msfTGuJe0K1iVbXpLRJiz9Be4+WO/jDyNmtTtJa9h+BM7puA6ttHe1s6iS9lnZW+msTjkPaqaUN5vALc4kRtKGZq3XXWjvdgbRmdN+Vt9FasVbbXPfW/klY14yuS/Ef0Vpu10xiBCZHmj7rYId+2Jph1eaB+BXgzOx4MfFYJDkuydxFv/tw3wtHV03XSvrBqvrYpGKQ9BO70QY1+PUkD+quszmia0364BKeZx07XhOrGVZV7wA+m+SXFis7CklemzbS4j7A31e7Nmqt+m1ad7o1d3LBbnWaGkmOpPVpfjLtAtNLquqGyUal1ZL8ZG6Rcb7GJtqF0e+njUT1xnG+3iKxjH17JQ0vyZm0660OoV2r9BHgNdUmlV7sseto12/+Ee06nddU1XvHGK7WkFWqv3ahXee0H+27+ea13OtgLddxJkeSJEmShN3qJEmSJAm477jpq27vvfeugw8+eNJhSJLG4JprrrmlqvaZdBzDsD6SpNk1bH008eTo4IMPZuvWrZMOQ5I0Bkm+PukYhmV9JEmza9j6yG51kiRJkoTJkSRJkiQBJkeSJEmSBJgcSZIkSRIwZHKU5KlJ/inJ95Nc0c2+O6jcpiTnJ3l5kjcn2W204UqSJEnSeCyaHCXZFzgdeAHwq8BhtBnk+8sdDVwIvLKqzgfuAM4babSSJEmSNCbDtBydALy4qq6tqo8CrwKeNKDcucAnq2p7t3w58BtJdh9JpJIkSZI0RovOc1RV7+1b9R3gGwOKHgf8ec/yjcCDgSOAq5cboJbvRZdczVU3bJt0GJKm1Nf+4NmTDkGStBOZ77fratZHyxmQ4SjgrQPW7wfc3rN8W/f3gP6CSc5KsjXJ1m3b/PE+LiZGkiRJmhZr4bfroi1HvZLsQWsJOnnA3duBu3uW5xKv9Besqs3AZoCNGzfWUmLQ0nn2V5IkSdNikr9dl9py9DLgJT3XFfW6GVjfs7yh+3vTcgKTJEmSpNU0dHKU5Czgsqr6brfcP0z3VcAje5YPp3Wz+9xKg5QkSZKkcRuqW12SU4EfAuuSHA48BDgkyXrguqraAlwEvCfJuqr6MXASLZm6azyhS5IkSdLoLJocJTkReDuwru+uw4ALaK1PW6rqM0leDVyY5FvAXrThvSVJkiRpzRtmKO+PLlBuU1/ZS4FLRxCXJEmSJK2qJY1WJ0mSJGk4zjk5fZYzz5EkSZKkRZgYLd3xh+0z0de35UiSJEkaI+ecnB62HEmSZl6SAycdgyRp7TM5kiRNjSRPTfJPSb6f5IokB81T7tAk9ySpJAWcssqhSpKmkN3qJElTIcm+wOnAC4CHAm8DLgaeMaD4mcBTgDuBAq5dpTAlSVPMliNJ0rQ4AXhxVV3bTTPxKuBJ/YWSbOjK7g/cUFXXVNXdqxqpJGkqmRxJkqZCVb23qm7vWfUd4BsDih4F3A28C/h2kuevRnySpOlntzpJ0rQ6Cnhr/8qquhI4JsnewB8BlyS5rqo+v9oBSpoNzle087DlSJI0dZLsARwBvGm+MlV1C3Aa8GngefM8z1lJtibZum2bP3wkDbaSxGjS8/ZoaWw5kiRNo5cBL6mq7QsVqqp7knwIeMQ8928GNgNs3LixRh6lpJnifEWzz5YjSdJUSXIWcFlVfbdb3m2Rh6wDbhh7YJKkqWfLkSRpaiQ5FfghsC7J4cBDgEOSrAeuq6otSc4EvlBVn06yJ3Ai8EsTC1qSNDVMjiRJUyHJicDbaS1BvQ4DLqD1htgCHAu8IcnFwDbg1Kq6dTVjlSRNJ5MjSdJU6OY2mq/e2tRT7jTaQAySJC2J1xxJkiRJErYcSZIkaUY5P5GWypYjSZIkzaRRJkbOV7RzsOVIkiRJM835iTQsW44kSZIkCZMjSZIkSQJMjiRJkiQJMDmSJEmSJMDkSJIkSZIAR6uTJEnSFHMuI42SLUeSJEmaWoslRs5PpKWw5UiSJElTz7mMNAq2HEmSJEkSJkeSJEmSBJgcSZIkSRJgciRJkiRJgMmRJEmSJAGOVidJkqQJcH4irUW2HEmSJGnVjTIxci4jjYotR5IkSZoY5yfSWmLLkSRJkiRhciRJkiRJgMmRJEmSJAEmR5IkSZIEmBxJkiRJEuBodZIkSRoz5zTStFhSy1GS3ZOsX0L5A5cekiRJkmbJfImR8xNprRmq5SjJLsApwGuA04CPz1PuUOAGIN2q3wNet/IwJUmSNO2c00hr3bDd6vYGtgCXLFLuTOApwJ1AAdcuPzRJkiRJWj1Ddaurqu9V1TcXKpNkA3ACsD9wQ1VdU1V3jyBGSZIASPLUJP+U5PtJrkhy0DzlNiU5P8nLk7w5yW6rHaskafqMcrS6o4C7gXcB307y/BE+tyRpJ5dkX+B04AXArwKHARcPKHc0cCHwyqo6H7gDOG8VQ5UkTamRJUdVdWVVHQMcAHwAuCTJkaN6fknSTu8E4MVVdW1VfRR4FfCkAeXOBT5ZVdu75cuB30iy++qEKUmaViOf56iqbqEN2vBp4HmDyiQ5K8nWJFu3bXNYR0nS4qrqvVV1e8+q7wDfGFD0OOBLPcs3Ag8GjhhjeJKkGTCWeY6q6p4kHwIeMc/9m4HNABs3bqxxxCBJmnlHAW8dsH4/oDeJuq37ewBw9biDknZWzmWkWTDylqMe62jDekuSNFJJ9qC1BL1pwN3badfAzpmr69Jf0J4M0ugslhg5p5GmwdAtR91cR/3rzgGuq6otSc4EvlBVn06yJ3Ai8EujC1WSpJ94GfCSnuuKet0M9E5YvqH7e1N/QXsySKPnXEaaZsNOArsvcEa3eHKSm6rqeuB42hm5LcCxwBuSXAxsA06tqlvHELMkaSeW5Czgsqr6bre8W1X9qKfIVcAje5YPp3Wz+9zqRSlJmkZDJUdV9T3g9d2td/2mnv9Pow3EIEnSWCQ5FfghsC7J4cBDgEOSrKfryQBcBLwnybqq+jFwEi2ZumtScUuSpsNYBmSQJGnUkpwIvJ12TWuvw4AL6HoyVNVnkrwauDDJt4C9aMN7S5K0IJMjSdJU6OY2mq/e2tRX9lLg0rEHJUmaKeMcrU6SJEmSpoYtR5IkSVo25zfSLLHlSJIkScvWmxg5l5GmnS1HkiRJWjHnN9IssOVIkiRJkjA5kiRJkiTA5EiSJEmSAJMjSZIkSQIckEGSJEmLcLhu7SxsOZIkSdKCFkuMHMJbs8KWI0mSJA3F4bo162w5kiRJkiRMjiRJkiQJMDmSJEmSJMDkSJIkSZIAkyNJkiRJAhytTpIkaafmHEbSvWw5kiRJ2okNmxg5l5F2BrYcSZIkyTmMJGw5kiRJkiTA5EiSJEmSAJMjSZIkSQJMjiRJkiQJMDmSJEmSJMDR6iRJknY6zm0kDWbLkSRJ0k6mPzFyDiOpseVIkiRpJ+XcRtKObDmSJEmSJEyOJElTKMnuSdYvofyB44xHkjQbTI4kSVMjyS5JTgVuBB6/QLlDk9yTpJIUcMpqxShJml5ecyRJmiZ7A1uASxYpdybwFOBOoIBrxxyXJGkGmBxJkqZGVX0PIMm8ZZJsAE4APgt8tKq+vzrRSZKmncmRJGnWHAXcDbwLuDvJ2VX17gnHJE2U8xpJw/GaI0nSTKmqK6vqGOAA4APAJUmOHFQ2yVlJtibZum2bPxw1uwYlRs5tJN2XLUeSpJlUVbckOQ14BPA84PMDymwGNgNs3LixVjdCafU5r5G0MFuOJEkzq6ruAT4EbJh0LJKktc/kSJI069YBN0w6CEnS2mdyJEmaKknuU3clOSfJCd3/ZyY5pvt/T+BE4J2rG6UkaRp5zZEkaWok2Rc4o1s8OclNVXU9cDzthN8W4FjgDUkuBrYBp1bVrRMJWJI0VZaUHCXZHbh/Vd0+pngkSZpXN8/R67tb7/pNPf+fBpy2yqFJkmbAUMlR14XhFOA1tArn4/OU20Q7Y3crcCBwblX9aDShSpIkaTHOaSQt37DXHO1N66pw4HwFkhwNXAi8sqrOB+4AzltxhJIkSRrafImR8xpJixuq5ajrxkCShYqdC3yyqrZ3y5cDH0ry2qq6c0VRSpIkaUmc00haulGOVncc8KWe5RuBBwNHjPA1JEmSJGksRjla3X5A70ANt3V/DwCuHuHr7NTsRyxJkiSNxyhbjrYDdw947vv0xUtyVpKtSbZu2+YP/aVYamJk/2JJkiRpOKNsOboZWN+zvKH7e1N/waraDGwG2LhxY40whp2G/YglSZKk0Rply9FVwCN7lg+ndbP73AhfQ5IkSZLGYuiWo26uo/515wDXVdUW4CLgPUnWVdWPgZOAy6rqrpFFK0mSpIG8LllauWEngd0XOKNbPDnJTVV1PXA8rfVpS1V9JsmrgQuTfAvYiza8tyRJksasNzHymmNpeZYyz9Hru1vv+k19y5cCl44sOkmSJC2J1yVLyzfKa44kSZIkaWqZHEmSJEkSJkeSJEmSBJgcSZIkSRJgciRJkiRJwBLmOZIkSdLa4/xG0ujYciRJkjTFnN9IGh1bjiRJkmaA8xtJK2fLkSRJkiRhciRJkiRJgMmRJEmSJAEmR5IkSZIEmBxJkiRJEuBodZIkSWuecxlJq8OWI0mSpDVuscTI+Y2k0bDlSJIkaUo4l5E0XrYcSZKmTpLdk6yfdBySpNliciRJmhpJdklyKnAj8PgFym1Kcn6Slyd5c5LdVi1ISdLUMjmSJE2TvYEtwIHzFUhyNHAh8MqqOh+4AzhvdcKTJE0zkyNJ0tSoqu9V1TcXKXYu8Mmq2t4tXw78RpLdxxudJGnamRxJkmbNccCXepZvBB4MHDGZcCRJ08LR6iRJs2Y/4Pae5du6vwcAV69+OJpFzjskzSZbjiRJs2Y7cHfP8lxdl/6CSc5KsjXJ1m3b/KGr4U0iMXIuI2n8bDmSJM2am4HeYb43dH9v6i9YVZuBzQAbN26s8YemWeO8Q9JsseVIkjRrrgIe2bN8OK2b3ecmE44kaVqYHEmSpkqS+9RdSc5JckK3eBFwYpJ13fJJwGVVdddqxShJmk52q5MkTY0k+wJndIsnJ5boGlcAABAVSURBVLmpqq4Hjqed8NtSVZ9J8mrgwiTfAvaiDe8tSdKCTI4kSVOjqr4HvL679a7f1Ld8KXDpKoYmSZoBdquTJEmSJGw5kiRJM8K5hyStlC1HkiRpJqx2YuS8Q9LsseVIkiTNFOcekrRcthxJkiRJEiZHkiRJkgSYHEmSJEkSYHIkSZIkSYADMkiSpCnicN2SxsmWI0mSNDUWS4wcXlvSSthyJEmSpo7DdUsaB1uOJEmSJAmTI0mSJEkCTI4kSZIkCRhzcpTkwHE+vyRJkiSNylDJUZKHJXlLkrOTXJrk0fOUOzTJPUkqSQGnjDRaSZIkSRqTRUerSxLgQ8DvVtUVST4JfCTJoVW1va/4mcBTgDuBAq4ddcCSJGm2OZeRpEkZpuXoGcCjgE8AVNUXgbuBTb2FkmwATgD2B26oqmuq6u6RRitJkmaecxlJmpRh5jk6DvhqVf2oZ92NwNOB/7dn3VG0pOldwN1Jzq6qd48sUkmStFNxLiNJq22YlqP9gNv71t0GHNC7oqqurKpjuvUfAC5JcuSgJ0xyVpKtSbZu22azuSRJkqTJGyY52k5rEep/XAYVrqpbgNOATwPPm6fM5qraWFUb99nHpnFJkiRJkzdMcnQzsL5v3QbgpvkeUFX30AZx2LD80CRJkiRp9QyTHF0F/HSS3rKH0w3QsIB1wA3LjEuSJEmSVtUwydGngK8DTwNIcjiwB/DhJOckOaFbf2aSY7r/9wROBN45jqAlSZIkadQWHa2uqirJc4Hzkvws8ATgOVX1gyTH0xKsLcCxwBuSXAxsA06tqlvHGLskSZpyzmkkaS0ZZihvquorwAu7xT/rWb+p5//TaAMxSJIkDWW+xMi5jCRNwlDJkSRJ0jg5p5GktWCYa44kSZIkaeaZHEmSZl6SAycdgyRp7TM5kiRNjSQPS/KWJGcnuTTJo+cpd2iSe5JUkgJOWeVQJUlTyGuOJElTIUloE4z/blVdkeSTwEeSHFpV2/uKnwk8BbgTKODa1Y1WkjSNbDmSJE2LZwCPopuEvKq+CNwNbOotlGQDcAKwP3BDVV1TVXevbqiSpGlkciRJmhbHAV+tqh/1rLsReHpfuaNoSdO7gG8nef4qxacleNElV3PwKz4y6TAkaQcmR5KkabEfcHvfutuAA3pXVNWVVXVMt/4DwCVJjhz0hEnOSrI1ydZt25yIdDX1zm/knEaS1gqvOZIkTYvttBahXrsAGVS4qm5JchrwCOB5wOcHlNkMbAbYuHFjjTRaDcX5jSStJbYcSZKmxc3A+r51G4Cb5ntAVd1DG8RhwxjjkiTNCJMjSdK0uAr46SS9ddfhdAM0LGAdcMO4gpIkzQ6TI0nStPgU8HXgaQBJDgf2AD6c5JwkJ3Trz0xyTPf/nsCJwDsnErEkaap4zZEkaSpUVSV5LnBekp8FngA8p6p+kOR42gm/LcCxwBuSXAxsA06tqlsnFrgkaWqYHEmSpkZVfQV4Ybf4Zz3rN/X8fxpw2iqHJkmaAXarkyRJkiRMjiRJkiQJMDmSJEmSJMDkSJIkSZIAkyNJkiRJAkyOJEmSJAkwOZIkSZIkwORIkiRJkgAngZUkSWPyokuu5qobtk06DEkami1HkiRpLBZLjI4/bJ9VikSShmPLkSRJGquv/cGzJx2CJA3FliNJkiRJwuRIkiRJkgCTI0mSJEkCTI4kSZIkCTA5kiRJkiTA0eokSdIinK9I0s7CliNJkrSglSRGzmUkaZrYciRJkobifEWSZp0tR5IkSZKEyZEkSZIkASZHkiRJkgSYHEmSJEkSYHIkSZIkSYCj1UmSNFHOISRJa4ctR5IkTdC0JEbOVyRpZ2DLkSRJa4BzCEnS5NlyJEmSJEkM2XKU5GHA7wHXAscCF1TVdQPKberuvxU4EDi3qn40unAlSTsz6yNJ0jgt2nKUJMCHgA9W1VuAPwA+nGTXvnJHAxcCr6yq84E7gPNGH7IkaWdkfSRJGrdhutU9A3gU8AmAqvoicDewqa/cucAnq2p7t3w58BtJdh9NqJKknZz1kSRprIZJjo4DvtrXHeFG4OkDyn2pr8yDgSNWFKEkSY31kSRprIa55mg/4Pa+dbcBByxS7rbu7wHA1cuKbggHv+Ij43pqSdLaYn0kSRqrYVqOttO6LfQ/LouUm3vu/nIkOSvJ1iRbt22bjvkd1hLnmpC0k5rZ+sjjuiStDcO0HN0MPLlv3QbgGwPKre8rA3BT/xNW1WZgM8DGjRtrqEjn4bwQkrTTsD6SJI3VMC1HVwE/naS37OF0F8T2lXtkX5nbgc+tJEBJkjrWR5KksRomOfoU8HXgaQBJDgf2oA2fek6SE7pyFwEnJlnXLZ8EXFZVd402ZEnSTsr6SJI0Vot2q6uqSvJc4LwkPws8AXhOVf0gyfG0BGtLVX0myauBC5N8C9iLNpyqJEkrZn0kSRq3VK2oi/WKbdy4sbZu3TrRGCRJ45HkmqraOOk4hmF9JEmza9j6aJhudZIkSZI080yOJEmSJAmTI0mSJEkCTI4kSZIkCVgDAzIk2UYbmnUl9gZuGUE4a5nbOBvcxtngNg7v4VW1zwieZ+ysj4bmNs4Gt3E2uI3DG6o+mnhyNApJtk7LaEjL5TbOBrdxNriNms/O8L65jbPBbZwNbuPo2a1OkiRJkjA5kiRJkiRgdpKjzZMOYBW4jbPBbZwNbqPmszO8b27jbHAbZ4PbOGIzcc2RJEmSJK3UrLQcSZIkSdKKmBzNgCQHTjqG5UryoCR7TDqOtSDJAZOOYTFJdk+yftJxjNsot3Ot7p+LbWOSByTZezVj0vRbq9/3YVgf3cv6aO2wPlr9+mhqkqMkD0vyliRnJ7k0yaPnKbcpyflJXp7kzUl2W+1YlyvJU5P8U5LvJ7kiyUHzlDs0yT1JKkkBp6xyqCuS5B96Yv80cMeAMmcl+f0kr0ry2tWPcnmSHJjkx3Pb13P72QFln9FbBnjqBEIeSpJdkpwK3Ag8vmf9+iR/muQ3k1yUZN5tSPKkJH+S5LeTXLwWK7UFtvMxSf4xyf9K8qkkj1ngOTZ0+/Dc53re+CMf3nzb2N337p64b2bAvtmVm9rj7ChYH+1QzvpojbI+sj6yPlqmqlrzNyDANcAvdMuPAr4K7NpX7mjgK3PrgQuA1046/iG3cV/gUuAI4ETaRIQfn6fsBcCTgI3dNt9v0vEvYTuPpu2cG7vbfgPKPBf4x57l9wNnTDr2Ibfvt4BnAgd3t8OA/z5P2bf2vA9H0l0DuBZv3ffzQKCAZ/Ss/2vgrO7/B9MOYA8e8PgDu/s2dMu/Cbx70ts1zHYC9wfe031OTwE+D3x5gec4F/jFns92j0lv15Cf5f7Am3riPmiex0/tcXZE75/10Y5lrY/W6M36yPrI+miZcU36jRnyzXsm8ENgt551NwK/0lfuMuDinuWfp82ou/ukt2GIbfwPwPqe5RcBdw4ot4FWMf8q8MBJx72M7XwX8H8CP7NAmf8fOK9n+deA6yYd+5Dbt3/f8knAnwwod2i3nb8I3H/ScS9h+3oP0od2ywf13H8F8J8GPO51wJU9yw8F7u5/v9bKrW87nwk8oue+47v7B/2QWgd8FngBsM+kt2PYbeyWXwv8IXDkIo+b2uPsiN4366N711sfreGb9ZH1kfXR8m7T0q3uOOCrVfWjnnU3Ak8fUO5LfWUeTDv7taZV1Xur6vaeVd8BvjGg6FG0nfhdwLeTPH814huFJLvSPo9zgRuS/GV/82e3/Hju+zn+XJJ9Vy3YZaqqm/tWbQI+NKDoRmB34IPAN5M8c9yxjcFxwA+rqvd7Omi/nCv7k8+0qr4N3AU8eawRjkBV/V1VfaVn1XeAHwC3Dih+OG273gJ8K8nLViHEUTkQ+HfA55JsSbLXPOWm9jg7ItZH97I+WsOsj6yPsD5almlJjvYDbu9bdxvQf8Fgf7nbur9r/sLCAY6iNXPvoKqurKpjaNv0AeCSJEeudnDLUVXbq+ok2lmaU4BnA6/vK/Yg4H7MwOeYZBfawfbv++/rfnwcDRwCbAX+Osn+qxziSg27Xy617Fp3FO1M1Y/676iq/15VT6Jt7xuAC5I8Z7UDXI6qemFVPZy2Xz4a+It5is7ScXY5rI861kfTw/po2WXXOuujMeyf05Icbaedneq1C63v90Ll5ravv9yaljZazhG0/pYDVdUtwGm0C0ift0qhjURV3VNV7wJeCvSfadze/Z36zxF4IvC5qto+X4Gq+ibwK7SzP89drcBGZNj9cqll16zuB8YvAv/XQuWq6n9V1StofcOn5mw6QFX9DS3mX0ryUwOKzMRxdgWsj/pYH00F66PllV2zrI+AMR1npyU5uhnoH0lkA3DTIuU2dH/7y611LwNestBBDNpBndZEvmGhcmvY5dw39n+hfdFn4XOcrwvDDqrqDlrf6Gn7HIfdL5dadi17MfCqvi5HCxn0HZ8GH6d11fg3A+6blePsclkfDWB9tOZZHy2v7FpmfTSm4+y0JEdXAT/dZclzDgc+MaDcI/vK3A58bqzRjVCSs4DLquq73fJiQxKuA24Ye2DjcZ/Yq11R9wnu+zl+qaq+s3qhjcRJwN8OWXYaP8dPAA9Msk/PukH7JfTtm92wwPdnQBePtSrJLwOfqaovdcvDDBc6jZ8rtLrhdmDbgPum/ji7QtZH85vW7ztYH/Waxs/xE1gfLWYaP1eYQH00LcnRp2hDiT4NIMnhwB7Ah5Ock+SErtxFwIlJ1nXLJ9EO7HetcrzL0o31/kNgXZLDuzH6f613G5OcmeSY7v89acOsvnNSMS9FkscnOaPn83kJXR/vJK9NMncB3dtpTcVzTgIuXr1IV66bR+K7vWd0ercxyblzc00k2Y82xOpHJhLskPp+DFJVNwEfpfusugsmH0truifJryWZ62JzGfD4nrkkTgI+2l0Iu6b0b2e37lm0C0Rv6/bNJwK/3t33k+1M8u+6snMXfL8A+NNVC35I/duYNlfNS5I8oFt1BvCmqvpxd//MHGdHwPrI+sj6aMKsj6yPuvvGcpzddSUPXi1VVUmeC5zX7cBPAJ5TVT9IcjwtydtSVZ9J8mrgwiTfAvaijUSz5iU5kXYQXtd312G0cdt3AbYAxwJvSHIxLYs+taoGjVKyFu1PG57xBUk+BlxdVZd39/1b2nj911bV+5M8PMnraJXzN4E/nkjEy/dc7tuF4d8Cn09yHfAs2vf5rbSzHL866ILKtSJtZKYzusWTk9xUVdfTLmT+w+6H0WOA5/eMFvRE2vCc76uqryc5BTg/yfW0i0hPXdWNGMKg7aSdUfwA7QfwG3qKP6v7+5PtpF04+tIkHwD+GfjdqvofqxH7sObZxgcCvwOcluT9wLer6oKeh83EcXYUrI+sj7A+mijrI+sjxnycTWs1liRJkqSd27R0q5MkSZKksTI5kiRJkiRMjiRJkiQJMDmSJEmSJMDkSJIkSZIAkyNJkiRJAkyOJEmSJAkwOZIkSZIkwORIkiRJkgD43yp3wE1QDlrbAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2,2, figsize=(12,8), sharex=True)\n", "\n", "axes[0,0].plot(times, result1.expect[0], label=r'Stochastic ME (ntraj = 1)', lw=2)\n", "axes[0,0].plot(times, result_ref.expect[0], label=r'Lindblad ME', lw=2)\n", "axes[0,0].set_title(\"Cavity photon number (ntraj = 1)\")\n", "axes[0,0].legend()\n", "\n", "axes[0,1].plot(times, result2.expect[0], label=r'Stochatic ME (ntraj = 10)', lw=2)\n", "axes[0,1].plot(times, result_ref.expect[0], label=r'Lindblad ME', lw=2)\n", "axes[0,1].set_title(\"Cavity photon number (ntraj = 10)\")\n", "axes[0,1].legend()\n", "\n", "axes[1,0].step(times, dt * np.cumsum(result1.measurement[0].real), lw=2)\n", "axes[1,0].set_title(\"Cummulative photon detections (ntraj = 1)\")\n", "axes[1,1].step(times, dt * np.cumsum(np.array(result2.measurement).sum(axis=0).real) / 10, lw=2)\n", "axes[1,1].set_title(\"Cummulative avg. photon detections (ntraj = 10)\")\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Highly inefficient photon detection" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "eta = 0.1\n", "c_ops = [np.sqrt(1-eta) * np.sqrt(gamma) * a] # collapse operator B\n", "sc_ops = [np.sqrt(eta) * np.sqrt(gamma) * a] # stochastic collapse operator A" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "result_ref = mesolve(H, rho0, times, c_ops+sc_ops, e_ops)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total run time: 2.02s\n" ] } ], "source": [ "result1 = photocurrent_mesolve(H, rho0, times, c_ops=c_ops, sc_ops=sc_ops, e_ops=e_ops, \n", " ntraj=1, nsubsteps=100, store_measurement=True)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 1.90s. Est. time left: 00:00:00:17\n", "20.0%. Run time: 3.15s. Est. time left: 00:00:00:12\n", "30.0%. Run time: 4.02s. Est. time left: 00:00:00:09\n", "40.0%. Run time: 5.06s. Est. time left: 00:00:00:07\n", "50.0%. Run time: 6.68s. Est. time left: 00:00:00:06\n", "60.0%. Run time: 8.26s. Est. time left: 00:00:00:05\n", "70.0%. Run time: 9.78s. Est. time left: 00:00:00:04\n", "80.0%. Run time: 11.29s. Est. time left: 00:00:00:02\n", "90.0%. Run time: 12.80s. Est. time left: 00:00:00:01\n", "Total run time: 14.29s\n" ] } ], "source": [ "result2 = photocurrent_mesolve(H, rho0, times, c_ops=c_ops, sc_ops=sc_ops, e_ops=e_ops, \n", " ntraj=10, nsubsteps=100, store_measurement=True)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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Kz7BGR2dmMSKXunHjBu7u7jg7O0vCErmKUgpnZ2fc3d25ceOG2eHcx4x8c+bIXo7tXJOZRYhcSPKMyO0yOt9kq8qR1jpaa/0SUBJ4FWgFfJqZZR7/piMNT0zgzzmvIa0pREaLiorCycnJ7DCEMI2Tk1O2bOqT1fnm3zOHKbm6DY//MoiTh/7KrGJELiR5RghDRuWbbFU5iqW1tmqtFwMjgB5JLaOU6q+U2q+U2h8QEJDmshwaDyJK2/Hk9SVsXT4lzdsRIjlyJU/kZtn98/+wfJNRuca9bHVOFngSZxVB/nU9ueB3IR1RC5FQdv+eCZEVMup7kC0rR/GsBwomNUNrPVtrXU9rXa9YsWJpLqD6k204Ved9AJqd+pgtmzekeVtCiJSJiYlh3759Zodhmlu3bpkdQpqEh4cTFBQU9/7mzZsmRpPhksw3GZVrLHYWag5exPk8lSlJAEELvbhy80564hVCPEBuyTMhISFERkaaHUaaXLt2LcXLZmW+ye6VIzvgVGYXUv3lEZwu8wqOKpp6u4fwy+4DmV2kENnaiRMnaNmyJV5eXtSoUQOlFGvWZMyzEuHh4fTv3x8vL68M2V5in3/+OUOHDk3VOsuWLYtrsx8YGHjf/MuXL2Nvb0/JkiVZv349+/fvp3nz5iil6NWrF0OHDmXQoEG8+OKLPP744w8sa/r06fz777+pii+1ateuzZ9//plh27Narfj6+lKxYsUE/2yEh4czceJEYmJiMqwsE2V6vnHI60KJgWu5ZSlCLX2CQzN7ExgSkZlFCpFt5YQ8ExoaStmyZfHz80vxOqdPn2bAgAEopXjzzTeTXGbgwIEopejfvz8XL15k6tSpWCwWqlWrxtChQxk6dCg+Pj6UKlUKX1/fZMs6f/4806ZNw8HBIZV7lnIrV66kbdu2GbrNCxcu0L17d7p06XLfvPXr1/PWW28xceJEhg4dGlfx++OPP/j5558zNI5kaa2zzQuoD/QF7GzvPwW6Pmy9unXr6nSLjtSXvnpW6w/z62Mf1NC7jl9M/zZFrnf8+HGzQ0iTJk2a6FmzZmmttY6JidF9+vTR06dPj5s/d+7cdG1/+/btuly5cunaRqx79+7p5cuXx73ft2+f3rZtW6q3061bN21vb68nTpx437yxY8fqYsWK6W7dusVNmzNnjjZOoQm9/fbbyZbxzTff6JUrV6Yoni1btuh///03RcsmNm/ePH3jxo00rZuU69ev60uXLmlAb926NcG8Q4cO6XHjxj1w/Qd9D4D9OofkmwzJNVrr4PN7ddiHRbX+ML+eO2mkDgmPypDtitxJ8kzS0ppnEpc7ZcoUHRoamqptnD59Wtvb2+vChQvrsLCwBPOCg4N12bJlNaBPnz4dN93d3V1/+OGHCZY9ceKE9vX1TbKMO3fu6Pbt2+vIyMiHxhMTE6MXLFiQqn2IdebMGb169eo0rZscPz8/PWTIEN20adME0/fv36/Lli2ro6KMc+Lo0aP1e++9Fzd/zJgx+sSJEw/cdkbkm+x256gEMB74VSn1LrBXa70yS0q2c6BU/5XccixFVXWRuyv6cujS/VeQhcgN/v77b6JtPThaLBa++uor7t69C8DWrVuZMGGCmeHF0VozePBgTp48GTetXr16tGzZMtXbcnBwoH379syYMQOr1Ro3PSYmhqNHj1K1atUEV+fs7ZMeCeHdd99Ncvq5c+dYsWJFklfKEvP396d3795xf4PU6t27N+lpApaYm5sbpUuXTnJezZo1OXnyJEePHs2w8rKIafkm3+P1iWg9HQCfkLl8O2cGEdGPxN03IVIsO+aZw4cP8/rrryeYNnz48FR3eBGbTwIDA1m2bFmCeUuXLo3LAw/LKZUrV6ZDhw5JljFy5Eh69+6dortGY8eOZceOHanYg/+UL1+ejh07pmnd5Hh4eFC0aNH7pk+ePJlmzZrFHYt27doxc+ZMwsPDARgxYgSDBg3K0FiSkq0qR1rrDVrrx7TWzbTWn2qt12dl+cq5MIX6rCXM4sLzag+754/m7I2QrAxBiGyhTp06vP3223z//fcA5MuXDx8fHwB++OEHbt26xfjx4zl79iwxMTFMmDCBGTNmMHz4cAYOHEhoaChgVCwmTpzI5MmTeeWVV5g0aVKCcmbOnEmdOnWoUqVKXLOFq1evMnjwYObPn0/Hjh35+++/AYiIiGD06NEsX76cZs2asWPHDs6ePcvhw4fZuXMnkydPBmDXrl3MmDEjrowLFy7w7rvv8vnnn/O///2P/fv3J7vfQ4cOxc/Pj40bN8ZN++GHH2jTpk2KjtuUKVOSbWI2b948mjdvHvd+y5YtNG7cmIULF9K6dWuKFy8eV+6ePXu4cuUK06ZN45dffonb582bN1OqVClmzJjB8ePHGTZsGPPmzaNdu3ZcvHgRgOvXrzN16tQ0J8K0eOaZZxIc85zA7HxToF4X7tR/AzulGRDwCZMWf0+MVXpMFblHdswzW7duJSQkhPHjx7N//34CAwOZMWMGJ06cSLC9SZMm0bdvX954440EF9Piq1q1Ks2bN2f69OkJpm/bto3nnnvuoccnttlyvnz57psXFBTEqlWr4i4EBgYGMnLkSLp168ann35KxYoVef7554mOjiYgIIBdu3Zx+PBhxo8fz8WLFxk1ahTvv/8+ffr0wcPDg+joaD766COmTZvG6NGj+eyzzwCjSfX27dv54IMPHhpvRti1axeVK1eOe1+xYkVu3brF4cOHAShcuDCRkZGZ/ixZdhwE1lQWt0o4dPXFurwrA1jN+7PLMHjYm5QoIN1kivTzfPtHU8r1+6xVqpZfuHAhbdq0oV27dnTq1Inp06dTvHhxADp06MCGDRsYM2YMAJMmTeLevXu88847AHTu3JnXXnuNOXPmMGbMGKpVq0aPHj04fvw4NWvWZMiQIYAxNkfNmjU5ePAgHTt2ZMGCBXz00Ud88803aK3p3bs3kZGRfPzxx6xdu5bNmzcTERGBl5cXTZs2xc/PjwoVKlCzZk08PT154403uHjxInPmzMHPz49BgwYRFhZGly5d+OWXX8ifPz83b97k888/Z+XKpG8QPP3009SsWZNp06bFtbFetWoV8+bNY/78+UmuE5vMAwMD2bRpE97e3kkut2nTJkaPHh33/oUXXqBXr15cvHiRjRs3MnXqVCZOnEjr1q3jrtINHToUT09PAgMD6datGz4+PqxevRonJyc+/vhjatWqRZ8+fThz5gxTpkxh8uTJXL58mUmTJvHxxx/fF4Ovry+9evVK9u/u4eGRqrb1sapVq8aYMWPu+ydAPFjBF98n6OZJClzYRM8Lb/PZWjfe7dhUeh4T6SJ5Ju15pmPHjowaNSqu3E2bNjFq1Ch+/PFHqlSpwqxZs7h58yZjxowhMDCQUqVK0a9fP6pUqZLkPg4dOpSOHTvy559/0qRJE3bv3k3Dhg2T/Y6vX78ePz8/rFYrf/31F61aJX1Mt2/fjpubW9wdrcKFC1OxYkXWrVvHhAkTGDlyJGXLluW3336jZcuWPPXUU/j5+TFmzBisVivR0dFs3LiRjRs38vTTT3Pu3DkmTpxIaGgo4eHhuLi4MHDgQKKjo9mxYweLFi1i3Lhx98Xh6ekZd2EuKQsWLIjLkSlx7do1ChQoEPe+YEGjjxx/f38aNGgAGPlm9erV1K9fP8XbTa1sdecou7Cv9BzRzxr/WLwXNZWPZy/l9r2c2ROIEGlRrlw5/v77bz799FM2btxIrVq1OHv2bJLLzp07l4YNG8a979WrFwsXLiQ6Oprp06fTunVrwLiKduvWLVxcXABwdnamSZMmgHGy8/f3B2DYsGG89957BAYGcuTIEW7fvg0Y/7jPnTsXX19fypQpw5NPPnlfLB4eHjzzzDNx73/44Qfc3d3jRsv+5JNPkq3kxBoyZAjbtm3j1KlTXLhwAXd3d/LmzZvs8r6+vvj6+rJhw4ZkH74FuHTpUoKTPoCjoyNPP/00ANWrV48b3TuxwoULA8YdmkaNGvHEE08wfvx4+vXrx+XLlzlz5kzccapTpw7lypVLcjs+Pj4PbGedlooRGKOR37hxg5AQudOeKhYLBbzmcq9wNTwt12l+aDRTfj7x8PWEeARkxzyT2EsvvZSgifKUKVPiyipcuDBXr15NtmIE8PLLL1O6dGmmTp0KPPwCVbt27fD19WXRokXs3bs3bj8SSy6flClTBg8PDxwdHSlfvnySOcVisVCwYEFq1qyJu7s73t7eVKhQgd9//x2r1crOnTuxWq0EBQVRtGjRBC0eEvPz83tgTklNxQiMpoXxmwnG3pXT8cYhzZ8/P+fOnUvVdlNL7hwlI0/TIURcP07eI0v5IGQ8b8xzY9qAl3BxlEMm0i61V9bMEBMTg52dHY6Ojrzzzjs899xztGzZklGjRrF+/f0tj/z9/eOaN4BxJSkqKoqAgADu3r2b4ApZ4pN5LIvFEtcczc3NjU8++YSyZctSq1Ytjh07Bhg9sE2ePJmBAwfy3XffsWTJkrhKQ3LOnTuXoHx7e/tknxWK1aNHD9566y2mTZtGvnz56N+//wOXj8/LywtHR8ck50VERGBnZ5fsukqpZJtnxF8mVvHixRk/fjyNGjWiWrVqXLp0KcVxZrTYymNwcDCurq6mxZEj5XHBxXsVETOa0ST8OOd/H4Ovyxf4PFnW7MhEDiV5Ju155mES55TkyoplZ2fHwIEDGTt2LCdOnMBqtSb5rE1SChUqxMsvv5zkvIflE3h4Tom/HxaLhRs3bjB27FgGDBgAJKyQZJUSJUokGC7izh1juAN3d/e4aXnz5iU4ODhT45A7R8lRCseXvybSvRGPqdu8dvNDhizaRXiUPDQrHm0bNmzgn3/+iXtft25dvL29OX/+fJLLe3p6cubMmbj3ERERODs7U7hwYezs7BI8+xIWFsaVK1ceWP6bb75JdHQ0PXv2THAFyd/fn4EDB3Lo0CGuXLmSoIlactzc3Ni9ezcREf91l5zclclYzs7OcVclL126RPny5R9aTqwaNWrg5OTEzp0775tXunTpBCf99Hr11VepUKEC7dq1w2JJ2anc19cXpVSyL09PzzTFEhwcjL29PY899lia1s/1Crjj2GMFMZY89LD/hfObv2b1AX+zoxIi02TXPPMwbm5uCcqyWq1cuPDgAZ379euHxWKhTZs2qb6T0qBBA/bs2ZMgh0HG55MDBw4wfPhwxo4dm6Ai8jCenp4PzCkP6oY8Kc2bN0+Qo0+ePEmBAgWoXbt23LTg4GBKlSqVqu2mllSOHsQ+D3m6LSUqXylqWc7T6dKnDF92gKiYB1/dFSIne/zxx+nbt29cr0EAFy9ejHuA1MXFhdu3bxMTE8P169cZPHgwCxcujLsit337doYMGYKjoyNt27Zl6NChbN26lZMnTzJhwgSKFy+O1WpNcEXLarXGXaXaunVr3C35AwcOEBQURHR0NL/88gtnzpyhUqVKjB07Ni4+FxcXAgICCAsLIzg4OMG2W7VqRXBwMN7e3hw/fpytW7cmO/7PvXv34pqFDRkyhJCQkAQ99ERGRhIVFRX3PraXpcRX5ubPn5/kOEaNGze+7+5O4l7x4nN2diYgIIDr16/HHZv4V/Jij1N0dDT//PNP3HF6kPQ0q3vQFchr167xxBNPpLiSJpJQqh527Yxntj6wX8zGNYvYfOSqyUEJkTmya56JbcYWe+6NXS92O507d2bs2LGsXr2as2fPMm7cOIoUKXLf/sXPJ8WKFaNLly64uLjENfGLHbsncU5JfJ4NDg5m4sSJ97VIaNSoEVeuXEmQNxKvG39ebJ60Wq3cvHkz/pAGAOzYsYPo6OgEA+feuXPnoTklPc3qksopffr0YcuWLXGxb9q0ie7duyfY/2vXrlGnTp0HxpVuKenvO7u/MmrsiWRdO6ajP3HX+sP8evp7PfTw5Qd1dIw1c8sUj4ScOP5EcHCwBnTJkiV13759dffu3fXAgQPjxnmIiIjQNWrU0M8884w+evSotlqtety4cdrHx0d/9tlneuTIkTo8PFxrbYyP06pVK+3q6qqbNWumz58/r0NDQ/WgQYO0xWLR69ev1xcuXNBNmjTRVapU0WfOnNGff/65dnFx0S+++KJeu3atLliwoP7lZZmSAAAgAElEQVTyyy/1ggULdO3atfXcuXP1kCFD4o7t1q1bdZEiRfTrr7+uz549qzt27KiLFSumf/vtN6211ps2bdIVKlTQBQsW1KNGjdJW6/3fXV9fX+3q6qqHDx+ur1y5orXWul+/fnFjLcyZM0c7OzvrEiVK6PXr1+v9+/frFi1aaEC3adNGDx8+XPfr1083a9ZMWyyWuG3Et337dt22bdu497/++qt2cHDQr7/+ur5586bu06ePdnR01Nu3b48rv1KlSnrdunV62rRpGtBjxoyJG79o+PDh2tXVVXfp0kUvXLhQFypUSK9YsUJrrXWzZs2SHRsjLa5fv64/+eQTDWgfH5/7PtdjxozRU6dOTXb97DjOUVpemZ5rtNZ62zitP8yv737gplu/+63+9eT1zC9T5GiSZzIuz2it9XPPPafr1q2rd+7cqVevXq0dHBz0wIED9a1bt3RISIju0aOHzp8/v65Tp44+cODAfft24sQJ3blzZ+3p6ak3btyotdZ6z549esaMGVprrY8eParbt2+vAd2/f3/t5+enp02bppVS2t3dXQ8aNEgPGzZMe3l56ccee0z3798/yWPYrFkzffDgQa21MeZRx44ddYkSJfS+ffv03r17dcGCBXWXLl30nTt39NGjR3XRokW1t7e3/ueff3STJk10hQoV4vLksWPHdOnSpXWlSpX0woULddOmTXWLFi10cHCw3r59u/b09MzAv77WO3bs0DVr1tSFChXSq1ev1hEREXHzFi5cqF977TX9+eef6/79++uQkJAE65YvX17fvHkz2W1nRL5R2oQ2hRmtXr16+kHd82aIs7+gl3ZG6RjejuqLquvDp+2rS69C4oFOnDjxwIc1Re7SqVMnPvvss1Q11UuLZs2aMWrUqBR3QZ4eoaGhdO7cmbVr1yb7vNWDvgdKqQNa63qZGWNGyZJcozV6TV/U0dVc1YXpEjOez3u/QKOy91+dFgIkz+RW+/btY/bs2cyZMydTy9m+fTujRo3iwIEDmVpOSqxbt47Tp0/z1ltvJbtMRuQbaQORUuVbolp/BcB4+/n479/Ip5tOmPLAmhAiZ5oxYwZffPHFfe3HM0JYWBg///wzYIyPUbdu3QwvIymTJk3i66+/TrZiJFJJKVS7b9FlGlNCBTLTMpHhC3/n0L93zI5MCJGN1K9fn9q1a7Np06ZM2f7u3bu5fv06d+/epVGjRplSRmr4+/uzd+/eB/YKm1GkcpQadb3hyRHYKyszHKaw84/f+OaXBz/cLYQQsYoVK8akSZPYu3dvhm87ICCAIUOG8OabbzJw4EBKliyZ4WUkduTIEQYPHkyFChUyvaxcxd4R9coydOFyVLNc5DPrV/Sa9xcnr2VuD01CiJxl8ODBODg4xD3DlJF+/PFH2rRpw4EDB7JsENgHOXXqFBMmTMiSFlvSrC61rFZY0xuOreOKLsLLEeMY0KoJfZ+SblfF/aS5gxDSrC7Nbp1Dz30WFRbIouj/8Y3jAFYNasLjRZMe+0TkTpJnhPiPNKszg8UC7WZAqQaUVLeYl+cLvvzxb1bsNW+MESGEEI+gIuVQXsvRdo68ar+Vl8PX0X3Obi7fCTM7MiGEeGRJ5SgtHJzAazkU8qSm5QLfOEzjvXWH2HDowf3qCyGEEKlSphGq/QwA3nNYRo27v9N9zm5u3A03OTAhhHg0SeUorVyKQvfVkLcg/7M7yBi7xbyx8h9+PnbN7MiEEEI8Sqp3hJYfYEEzJc+3FAg8TM+5ewm8l/HPGQghRG4nlaP0KFoBXlkGdnnoZf8TPdRmhiw7yK8nr5sdmRBCiEfJk29A7Z7kJQLfvF9y78Y5eszdw51QqSAJIURGkspRenk2hZeNUc0/dFhMc72XgYsP8tvpAJMDE0II8chQClp/BWWbU0gHsTTvF1y+eoVX5+8lODzK7OiEEOKRIZWjjFCzCzQfg0Iz3XE6Nawn6L9oP7vO3jQ7MiGEEI8KOwfoshDcquKh/VniPJlT/gF4z99LSES02dEJIcQjQSpHGeXpUVC3Fw46ksXOkykdc4k+C/ex+/wtsyMTIls5f/48N27cAODGjRucPZv0WGFWq5U///wz1du/ffs2p0+fTleMQmRbeQsYz7vmL0UN60nmOk/n8KVb9Fqwl9BIqSAJAZJnRPpI5SijKAWtvoTKrXGOucsq1y8oGBVAb9997PcLNDs6IVJsw4YNlC5dGldXV+bMmUNU1P1Ndnbt2kWdOnVSve3169dTuXJljh8/zuHDh2ncuDHr16+/b7k7d+4wbNgwmjZtmqrtHzp0iAYNGrBs2bL75u3cuZNmzZqhlEp2RPEqVapgsVj46quvuHjxIoMHD0YpxXPPPcfQoUMZMmQIXbt2xdXVFT8/v1TFJkSGKeAOPddC3oI8Zd3HF86L2OcXSB/f/YRFxpgdnRAPJXlG8kx2JpWjjGSxg45zoXQjCkXdYF2BydhHBuGzYB8HL902OzohUqRt27Y0a9aMWrVq0a9fPxwcHO5bpkKFCgwbNizV227Xrh0lS5YEoGbNmjz55JNJLlewYEFGjRqV6u0/8cQTySa6p59+mh49emBvb8+0adPum79jxw5u3bpFiRIlGDFiBB4eHrzxxhsAvPvuu0ybNo3p06ezcuVKvvzyy1THJkSGKlYJun0H9nlpb93KO84b+Ov8Lfov3k94lFSQRPYmeUbyTHYmlaOMFjsGUtFKlIi4wNpC04iKCMV73l4O+98xOzohUsTe3h57e/tk57u5udGrV690l6OUStO8tHJwcKB9+/Zs2bKFc+fOJZi3aNEivLy8EiTp5I6Bt7c37u7uGR6fEKlSpiF0WgDKwgDrSvo6/cbvZ24ybuNxsyMT4qEkzxgkz2Q/UjnKDM6FoccayFeS8mGHWVFkHvciIukxdw9HLweZHZ0Q6Xb27Fk+/PBDAPz9/enTpw+vvfYaI0eOxMPDAx8fn7hlQ0JCGDRoEJ9//jkTJkwgJCQkwbYuX77MU089Rf78+fHy8rpvfqzff/+dkSNHMmvWLDp06MDt2//djf3444/54IMPmDx5MocPH35g7K+++ir58uVj+vTpcdNu3LhBnjx5KFSo0EP3/dChQ2zZsiXJK51CZLnKLxm92AHvMYfnLPvY8M8VIqLl7pHI2STPSJ4xS/JVdpE+BUsbFaT5L1D73u/McytErxtd6TlvD0v7NqJqyfxmRyjMMLaASeVmXKU8JCSEDRs2MG7cOD766CNKlSqFm5sb27Zt46effuLdd9+lZMmSvP/++5QrV44RI0bQokULvLy8CA8PZ8KECQm2d/DgQX744QcCAgJo3rw577//Pl999dV95b755pu8/vrrdO3ale3bt7N48WKGDx/O0qVL8ff3Z9asWQBs3rz5gfG7urri7e3NggUL+Pjjj3FxcWH+/Pn06dOHH3/8Mcl1PvvsM3x9fQkPD+fnn39m/vz5aTx6QmSCuj5w9zpqx6dMzTOd7hH5+OtcbZ6p5GZ2ZMIMkmckz4h0kTtHmal4VaOJnZ0jzYM3MPmxbdwOjaLb3N0cuyJ3kETO5OrqSocOHRJMc3R0pFq1ahQuXJgiRYrw2GOPcfnyZYKCgvD19eXZZ58FIG/evBQuXDjBus2bN6dgwYJUqFCBwYMHs3r16iTLnTNnDm3atOHMmTNcuXIl7orelClT4rYPpKgZwpAhQwgKCmLJkiVorTl48CD169dPdvm3334bX19fVqxYwYoVKx66fSGyXLM3oW4vHIlkXp4v+OfgX2ZHJESaSZ6RPGMmuXOU2TybGp00fPcqHe4s4I57EcZdrkO3OXtY2rch1d1NusIjzJGBV9ayM6UUVquVs2fPEh0djZOTU4rWq1atGnfuJP1sXtGiRXn//fdp3bo1ZcuWRWsNwIkTJ1K8/ViVKlXi2WefZfr06Xh4ePD888+neN2nnnoq2W5hhTCNrcfU4JtXKHDxJ7xOjcB6py6WgqXMjkxkNckzDyR5RjyM3DnKClXbQqsvAOgV+BUjPc4RFBZFtzm7pZMGkaOcP3+eM2fOpHh5V1dXAE6dOpWi5SMjI6latWqS81566SVeeuklmjdvfl8ZKd1+fEOHDuXIkSOMGTMGLy+vFK/n5OREjRo12LlzZ6rLFCJTWezI192XQ6oyxblFhG87CJWhJETOInlG8ozZpHKUVer3hadHo3QMQ2+OZ1jZqwSHR9N97h7++VcqSCJ7iYqKirtiFis6Opq33nqLkiVLYrVaAe77GSsmxngYvHz58lSqVIkJEyZgtVoJDAzk9u3bXLt2LW778df96aefeOedd+6bfuvWLf7++2+01oSFhXHs2DGCgoKIjo6mdevWzJw5k8DAQKxWK35+fgQEBBAdff+AmPfu3Yt7ELd169Z4enrStGlTnJ2dASNpxh9vI3Ybiffv6NGjrFmzJkXHUoispPI4s6XG15y2uuN05wws7QQRd80OS4j7SJ75b5+T2j/JM+aRZnVZqfl7EBqI2j+PN25+SFT5Scw8W5Cec/ewsE8D6pR5eA8mQmS2H374gR07dnD79m28vb1xcnIiNDSUP/74g5IlSxIdHc2SJUsAo31227Zt2b59O0FBQZw6dYoLFy5w9epV1q5dS5MmTfjuu+/o06cPFSpUoFOnTjRu3JgzZ84QHByMt7c3n376KaNHj8bOzo769evTrl077t69G/fg6/z58/H29qZ9+/Z07tyZzp070717dyZOnEjbtm2ZOHEiffv2pVq1arRo0YJy5coB4OfnR/ny5eP2a/v27cyaNYsSJUpQqlQpatWqxeDBg2ndujUA27Zt4/vvv+fq1atMmTKFjh078vXXXwPGQ7pNmjQhJiYGf39/tm3bxty5c7PyzyJEij31RAV67n2HdU4fU/LyAVjuBd1Xg0Nes0MTApA8I3kme1OJa+05Ub169fT+/fvNDiNlrFZY1x+OrEI7FWJ8scnMO+2Iq6M9C3vXp65H4YdvQ+QYJ06coEqVKmaHIYSpHvQ9UEod0FrXy+KQ0iSn5JroGCvNv9yBuu3H907jKGS9DZVaQZeFYCddAz9qJM8I8Z+MyDfSrC6rWSzQbgZUfAEVdpsxt9/Fp4oiJCKaV+ftZZ+ftA8XQgiRdvZ2Fpb0aUhMAU+6hr3NXeUKp36E74cYF+iEEEIkSypHZrBzgM6+4PEk6u5VPrzzDj2rO3IvMgbv+XvZc/6W2REKIYTIwTyKuLByQCPCC1WiZ/ibhJEXDq+ELW/BI9BiRAghMotUjszi4GSMgVSyNuq2H+OC36dHzXyERsbgs2Aff569aXaEQgghcrBShZz5bkBjgos8Qe/IkUTiAHtnw/ZPzA5NCCGyLakcmSlvfui+BopWQt04zsf3PqJbrcKERcXg47uPX09eNztCIYQQOdhjBfKyYkAjbhVryJDIYcRggZ2fw59TzQ5NCCGyJakcmc2lCLy6HgqWQV3ezycRE/CuX5zIaCsDFh9g85GrZkco0ulR6PREiLSSz7/53PLlZUX/xlwu3oJRkQOMiT+PgYOLzA1MZBj5ngmRcd8DqRxlB/lLQs/14OKGuvAbY6Mm069paaJiNEOWHWTtQX+zIxRp5ODgQFhYmNlhCGGasLAwHBykhzSzFXbJw/J+jThfsjUfRHkDoH94DY6tMzkykV6SZ4QwZFS+kcpRdlGknHEHKW9B1MkfeTfyG15rURarhpGrDrF0z0WzIxRp4ObmxuXLlwkNDZUreyJX0VoTGhrK5cuXcXNzMzscARRwdmBJ34YcL/UKX0R1Rmkrek1fOLXZ7NBEOkieEbldRucbGQQ2OyleDXqsgUUvo46sYkStPDi9MILPtpzmvXVHCYuMoe9TZc2OUqRC/vz5Abhy5UqCEbGFyA0cHBwoXrx43PdAmC9fXgcW9m5AX1/FzH/DGGi/EevKV7F4LYcKz5odnkgDyTNCZGy+kcpRdlOqnjGS+ZIO8M9SBtZ1wLnt63yw4TjjfzxBWGQMQ1uURylldqQihfLnzy//HAohsg0XR3sW9G7AgEXDyXMhmt72W7Cu8MLSfRWUfcbs8EQaSJ4RIuNIs7rsyKMxeK0A+7xwwJdX73zLpI41sCj4cutpJv10Sm6dCyGESLO8DnbM9q7H3oqjWRLdEktMJNZlr4DfLrNDE0IIU0nlKLsq2wxeWQp2eWDvbLoEzmJK11rYWxQzdpxj7IZjWK1SQRJCCJE2jvZ2TOteh589R7My+hks0WGwtDNc2mN2aEIIYRqpHGVn5Z+FLovB4gB/TaPNzbnM6F6HPHYWFv51kdGrDxMdYzU7SiGEEDmUvZ2Fbo0e553ovvzq2AKi7sHSTnD5gNmhCSGEKaRylN1VegE6LwBlB39M5n8BvszzqYeTgx1rDvozcMlBwqNizI5SCCFEDvVMpWI45XGgX1AvQiu0hYhgWNwerh4yOzQhhMhyUjnKCaq0gY5zQVlgxwSeuraYpf0aUsDJgW0nruM9fy/B4dJDjRBCiNTL62BHiyrFicGOpSXfg8qtITwIFr0M14+ZHZ4QQmQpqRzlFNU7QLuZgIJfPqKO/1JWDWxM8fyO7LkQiNfs3dwMiTA7SiGEEDlQqxqPAbDx2E3otAAqPA9ht2FhWwg4ZXJ0QgiRdaRylJM80RXaTjV+//k9Kl5YwuqBTfAs4syxK8F0nvkX/rdDzY1RCCFEjtOsohtODnYc8g/i3+Bo6LIIyrWA0JuwsI1UkIQQuUa2rRwppSxKqe1KqWfMjiVbqdMTWk02ft/yNqVPzmfVwCZUKZGfCzfv0WnGX5y5ftfcGIUQIoeQXGNwymNHiyrGyPJjNxwjTDvAK8vg8WYQch18W8GNEyZHKYQQmS/bVo6AQcATZgeRLdXvA62/Nn7/+T2KHZrBiv6NqO9ZiGvB4XSe9Rf//HvH3BiFECJnkFxjM7R5eQo4OfDLyRv0mLeHO1F2xph7ZZvDvQDwbS3PIAkhHnnZsnKklHoK8AOCTQ4l+6rXy9bETsG2Dymw/xsW9W5Ii8pu3AmNotuc3fxx5qbZUQohRLYluSahKiXys2ZQY0oWyMuBi7fpPPMvroQq8FoO5VoaTex8W8O1I2aHKoQQmSbbVY6UUkWAJlrrH82OJdur8yq8PB2jk4ZxOP31JbN61qV9bXdCI2Po7buPjYevmB2lEEJkO5JrklbeLR9rBjehYnFXztwIoeOMPzkdGG00savwHIQFGs8gXfnH7FCFECJTZLvKETACmGJ2EDlG7e7QbgagYPsnOPw+iS87P4FPE08iY6wMW/438/+4YHaUQgiR3UiuSUaJAk6sGtCE+p6FuBoUTqcZf7L/cih0XQIVXzR6sVvUFi4fNDtUIYTIcNmqcqSU6gcs1VqHp2DZ/kqp/Uqp/QEBAVkQXTZWyws6zI4bB8my41M+bF2Ft16ojNYwbuNxPt10AqtVmx2pEEKYTnLNwxVwdmBxn4b8r2pxgsOj6T53Dz+fum30Yhc3DlI78D9gdqhCCJGhslXlCOgP/K2UCldKhQMewM9Kqe8SL6i1nq21rqe1rlesWLEsDzTbqdkFOswBZQc7J6F+/ZhBzcoyucsT2FsUs3ee543v/iEy2mp2pEIIYTbJNSmQ18GOGd3r4NWgDBHRVgYuOcDyg9egsy9UaQsRQbC4Hfy7z+xQhRAiw2SrypHWur7WOm/sC7gIPKe17mJ2bDlCjU7QaZ5RQfpjMmz7kA613ZnvUx/nPHas/+cKvX33cTc8yuxIhRDCNJJrUs7ezsKn7avzWssKWDW8s/YIU7b7oTvOg6rtICIYFreHS7vNDlUIITJEtqociQxQrb1xVc9iD7umwJa3ebp8EVb2b0xR1zz8cfYmXWft5sbdh7YmEUIIIVBKMeJ/FRnfrjoWBV9tO827G04S3X4OVO8IkXdhcQc4/5vZoQohRLpJ5ehRVLWt0S7cLg/smQkbhlGjpCtrBzXFs4gzx68G0+HbPzkXEGJ2pEIIIXKIHo08+LZ7XRztLSzf+y99Fv9DSKtv4QkviLoHSzvDqc1mhymEEOmSrStHWmtPrfUOs+PIkSq3Mgbvs3eCf5bA6t6UKWDPmkFNeKJUAfxvh9Fpxp8cvHTb7EiFEMJUkmtS7oXqj7GsXyMKu+Tht9MBdJm9j+stJkP9vhATASt7wJHVZocphBBplq0rRyKdyreEnuvAMT8cXw8re1DE0cry/o1oXqkYt22Dxf587JrZkQohhMgh6noUYu2gJnEtEdp/+xen6nwITV8HazSs6QsHFpodphBCpIlUjh51Ho3BewM4FYYzP8HSzjjrMOa8Wo8u9UoRHmVlwJIDMhaSEEKIFPMs6sLawU2p61GIK0HhdJr5F7seHwYt3gc0/DAc/vrW7DCFECLVpHKUG5SsDb02getj4Pc7LGqHfWQQEzvWZOT/KsaNhTR2wzFiZCwkIYQQKVDYJQ9L+zbkpRqPcTciGu/5e1nt8gq8OMlY4Kd3YMdE0JJXhBA5h1SOcgu3KtB7MxQoA5f3g29r1L0AhrWswJRXapHHzoLvn34MWLyf0Mhos6MVQgiRA+R1sGOaVx36P12WaKtm1KpDfH23ObrtNNvA5J/C1velgiSEyDGkcpSbFC4LvbdAkQpw/SgseBGC/Hm5ljuL+zSgoLMD207coMusv7gRLF19CyGEeDiLRfHuS1UY93I1LAq+3naG0edqEtV+Hlgc4M+psPF1sMaYHaoQQjyUVI5ymwLu0GszFK8Bt87C/Bfh1jkali3C2kFN8CjizNHLwbSbvouT14LNjlYIIUQO8WpjT2b3rIeTgx2rD/jTc3cJQtovBPu8cMAX1g2A6EizwxRCiAeSylFu5FoMfH6AUvUh6BLMew6u/E3ZYq6sHdSEOmUKciUonM4z/uL3MwFmRyuEECKHeLZqcVYOaESxfI7sPh9Im59cuNJ6CeRxhSOrYPkrECFj7Akhsi+pHOVWToWg53oo1xJCb4Jvazi/gyKujizr14hWNUpwNyKaXgv2sXLfJbOjFUIIkUPULFWQ74c0pUqJ/Fy4eY8Xv9ccarkYnIvCuV9gUVu4d8vsMIUQIklSOcrNHF2NgWKrd4LIEGN082PryOtgx1Sv2gxsVo5oq+atNUeYsOmE9GQnhBAiRUoWdGL1wMY8W6U4QWFRdPw+nI31faFgGbh8AOY/D3fkwpsQIvuRylFuZ58HOsyBhoMgJhJW9YK9c7BYFG+/WJkJHWpgb1HM2nmeAYv3ExIhPdkJIYR4OBdHe2b1rMsAW092Q38KZorHNLRbVbh1BuY9DzdOmB2mEEIkIJUjARYLvDABWn4IaNg0CrZ/Clrj1aAMi/o0oICT0ZNdpxl/4n871OyIhRBC5AB2FsU7L1VhYkfjQttXe0IY5vgpMaUbw90rxh2kS7vNDlMIIeJI5UgYlIKn3oC2U42xKX6bCBtHgDWGJuWKsn5IU8oWc+Hktbu0m76LAxcDzY5YCCFEDtG1fhkW92lIAScHNp4JpX3wSMLKvgDhQbDoZTi1xewQhRACkMqRSKzOq9B1ia3r1QWwygeiwnm8qAvrBjflqQpFuRkSidfsPaw54G92tEIIIXKIxuWKGBfairpw+Hokz1zszc2KXSE6HFZ0g7+Xmh2iEEJI5UgkoXIr6LkOHAvAiQ2wtBOEB1HAyYEFPvXxbuxBZIyVkasO8dnmk1ilowYhhBApEHuhrUm5Ily/F02TY+04Ub4/6Bj4fjD88RVoySlCCPNI5UgkzaMJ9NoEro+B3+8w/wUI8sfezsJHL1dnfLvq2FkUM387x4AlB7gnHTUIIYRIgQLODizs3YCejTyIjNG8ePQZfio9wpi5bazx3GuM5BQhhDmkciSS91h16PMzFK0IN47D3Gfh6mEAejTyYFFvo6OGrcev03HGn/wbKB01CCGEeDgHOwsft6vOJ+2rY29RDDhTn6lF3kPb5YF9c2Fld4i8Z3aYQohcSCpH4sEKeRgVJI+mcPcqLHgRzm4DoGn5oqwb3ISyRY2OGl6evos/z900OWAhhBA5RfeGHizt25DCLnn48nI1XsszlhjHAnB6C/i2grvXzQ5RCJHLSOVIPJxTIeMZpOodbYPFdoGDiwAoW8yVdUOa0qxiMQLvRdJz3l4W7LqAljbjQgghUqBh2SJ8P6QplR/Lx4bbnrQL/4gwl1Jw5W+Y9ywEnDI7RCFELiKVI5Ey9o7QYS48OcJ4cHbDMPh1PGhNAScH5vvUZ9Az5Yixaj764TijVx8mPCrG7KiFEELkAKULO7N2cBNerP4YRyLceOb2e0S41YI7l2De/8Bvl9khCiFyCakciZSzWODZsdD6K2MspJ2fw7qBEB2JnUXx1guVmdatNk4Odqw+4E/X2bu5FhRudtRCCCFyAOc89kzvVodWNUtw3VqAaWW+hkovGWMhLW4HR1abHaIQIheQypFIvXq9wWsFODjD4RWwtCOE3QGgdc2SrBnUBPeCThz69w6tp/7Bfj8ZMFYIIcTDWSyK3k09AVhx6BbRnRZBg/4QEwlr+khX30KITCeVI5E2FZ8Hnx/BxQ0u7DS6+r59EYCqJfPzw7AnaVy2CDdDIvCas5tley6ZHLAQQoicoE6ZQpQt5kLA3Qi2nwmEFyfBc58YM7eNhY0jICbK1BiFEI8uqRyJtHOvA323QdFKEHAC5raEf/cCUNglD4v7NKBXU0+iYjTvrjvCe+uOEBltNTloIYQQ2ZlSiq71SgOwct+/oBQ0GQqdF4KdIxxYAEs6QthtkyMVQjyKpHIk0qeQB/T5Cco+A/cCwLc1HP4OAHs7Cx+2qcYXnZ8gj72FpXsu0XX2X1wNCjM1ZCGEENlbhzqlsLcotp+6wY1g27Or1dqBz0ZwKQYXfjPG3rt1ztxAhRCPHKkcifRzKgTdV0O9PhATAWv7GT3ZWY27RJ3qlmLVgMaULJCXvy/dofU3f/DnWRkPSQghRNKK5XOkRWU3YqyanvP2cj4gxGsH7LEAACAASURBVJhRugH0+xXcqsGtszCnhdG0WwghMohUjkTGsHOAVl8abcNje7Jb7QORoQA8UbogG4c/xVMVinLrXiQ95u1h5m/nZDwkIYQQSRrTqipli7pw6vpd2k7bxeYjV40ZBcsYLRYqvgDhd2Bxezjga2qsQohHh1SORMZRChoOgG6rwDE/HP8efF+CYCOhFXbJg2+vBgxtXh6rhs82n2TgkgMEh8uDtUIIIRIqU8SZ74c25aUajxESEc2gpQcZv/E4UTFWcMwHryyDJsPAGg0/vAZb3gWrjK8nhEgfqRyJjFfhWeizFQp6GCOcz2kBV/4BwM6iGPV8Jea+Wo98ee356dh1Xp62i1PX7poctBBCiOwmX14Hpnerw/utq2JvUcz94wLd5uzmenA4WOzgufHQdipY7GH3dFjuBeHBZocthMjBpHIkModbZaNdeJnG/J+9+w6Pqsr/OP4+M+mBhB46ofcqRbpIR5q9t7X3uuuu67rouuuu664/ey9YVlFUlCbSOwKhCqHXhBICJJCQPuf3xx1SkKEnM0k+r+fJo3PbfO9kMofP3HPP4ege+HgorP8xf/WAVjFMfLAXLWpWZHtyOqPfXMgPqxL9WLCIiAQiYwx39GrIV3dfTExUKMt2HOay1+azeOtBZ4NOt8AtPzj3v26eBh8Nzp9aQkTkbCkcSfGJrOY0WO1vgJxj8PXNMOdf+QM1xFaL5Pv7e3J5xzpk5OTxyFerGPPjOg33LSIiv9E5tgqTH+5Nj8ZVSU7L5sYPlvDWnC14PBZie8GdM6FaM0haD+/3gx0L/F2yiJRCCkdSvIJCYfRbMGAMYGDOP+CbWyDL6UYXHuLmv9e052+jWhPsNnyyaAdXv7uY3YeO+bNqEREJQNUqhPLZHd3y71196aeN3P3ZclKP5UDVxk6X7saXwrGD8Oko+OU90MA/InIWFI6k+BkDvR6DG76G0GiInwgfDMyfn8IYw83dYxl3T3fqVApn9e4ULnttPj+v2+fnwkVEJNAcv3f1w1s7ExUWxIz4JIa9Np+Vuw5DeCVnaomejzgDNUz9Pfz4IORk+rtsESklFI6k5DQb5NyHVK0ZHIh3uj1smZm/ulP9ykx+uBf9W9TgSGYud38WVzAykYiISCH9W8Yw+eHetK8bTWJKBle/s5j3523DgwsGPg9XfghB4bDyc/jksvyRU0VETkXhSEpWtSZOv/DmwyAzFb64Cha+lt/toVJECO/f0pmnh7XA7R2Z6Jp3F5OYkuHnwkVEJNDUqxLBN/f24I5eDcn1WP4+JZ47P13O4fRsaHuVMx9SdD1IXA7v9YXdS/1dsogEOIUjKXlhUXDtF9D3KbAemP4X+PbO/AljXS7D3X0a8/U9F1MrOoyVu1IY9up8Zsbv93PhIiISaEKCXPxleCvev6Uz0eHBzNrgdLNbtuMQ1GoPd8+B2N6Qth8+HgZxY/1dsogEMIUj8Q+XC/o9Ddd8BsGR8Ot4Z/jVlF35m1zUoApTHu5Nv+bVSc3I4Y6xy/nHlHh1sxMRkd8Y2CqGyQ/3olP9SuxNzeS695bw5uwteMKrws3fQ7d7wZMDEx+GyU9Abra/SxaRAKRwJP7VaiTcOQMqx8K+NfDeJbBtTv7qypEhfHhrF/441Olm9968bVz33hISDms0OxERKapu5QjG3dOde/o2Is9j+fe0jdz68VKSMzww9F8w6i1wh8KyD+DTkXBUA/+ISFEKR+J/Ma3grtkFw69+djnM/0/+fEgul+Hevo356u6LqRkVRtzOwwx7dT5T1urmWhERKSrY7eJPQ1vy8W1dqBwRzPzNyQx7dT4LtyRDxxvh9qlQsRbsWgzv9NZ8SCJShMKRBIaIKs7wq31+79yHNPN5GHcjZKTkb9IltgpTHunNgJbOaHb3f7GCP323hozsPD8WLiIigahfixpMeaQ3XWOrkHQ0i5s+/IV/Tt1Ads2OcM985z6k9CQYO7LIwEAiUr4pHEngcLnh0mec+ZDComHjFKeb3b61+ZtUiXRGs3tuZGtCglx8uXQ3I95YQPzeI/6rW0REAlKt6HD+d1c3Hh3QFAO8M3crV72ziO2ZEXDzBGcOPpvnDAz09c3OKKoiUq4pHEngaTYY7p4LNdvB4e3wwQBY9b/81cYYbu0Ry4T7e9K4eiRbktIY9eZCxi7agdU3fyIiUkiQ28WjA5rxtXei8TUJqVz22ny+WbkX2/+vcN3/CiYof68f7F/n75JFxI8UjiQwVWkId/wMHW+C3EyYcB9MfKTILOetakcx8aFeXN+1Htm5Hv764zru+nQ5h9I1ApGIiBTV2ds1e0T72hzLzuP349fw0JcrSW0wCO6eDTFt4NBWeL8/rB7n73JFxE8UjiRwBYfDqDdh5OvO6EJxn8DHQ4oM9x0REsSLV7TjzRs6UTEsiBnxSQx9dR6Ltib7r24REQlI0eHBvHZdB/5zdXsiQ9xMWrOXYa/OZ9nRynDHdGh/PeRmwPd3e4f7zvJ3ySJSwhSOJPB1usW5ilSpPuxZCe/2gU3TimxyWbtaTH2kNxc1qMz+I1nc+MEvvDg1nqxcDdYgIiIFjDFceVFdJj/cm3Z1o0lMyeDadxfzytwEcke8CcP/D9whznDfHw2Bwzv8XbKIlKCAC0fGmI7GmEXGmBRjzAxjTDV/1yQBoHYH5z6kpoMh4zD87xr4+RnIy8nfpG7lCMbdfTEP93duvH137jYuf3MRm/Yf9V/dIhKw1N6Ub7HVIhl/bw/uu6QxFnh15mauencJ22Ovgd9Ng+j6sGcFvNMH1v/g73JFpIQEVDgyxoQC1wADgbpABeBxvxYlgSOiClz/FQx4DowbFr3u/VZvZ/4mQW4Xjw9sxjf3dqd+lQjW7z3C8NcX8PHC7Xg8GqxBRBxqbwQgJMjFU0Na8MUd3agVHcaq3SkMe3U+XyRUxd4zD1oMh6xU+PoWmPxkkfteRaRsCqhwBFQGxlhr0621acBcwOPnmiSQuFzQ61FnEr+oupC4HN7tDfGTimx2UQPnxttrOtclO9fDcxPXc+vHS9l/RA2biABqb6SQHk2q8dOjfRjdoTYZOXn8+ftf+d24zSQN/QCG/AtcwbDsffhwIBzc6u9yRaQYBVQ4stbus9ZmQf63ejHAK/6tSgJS/W5w73xoPsyZl2LcjTD1qSI3z1YIDeKlq9rzzk0X5c+SPvj/5jFl7V4/Fi4igUDtjZwoOjyY/7uuI2/c0JHo8GBmbzzA4FfnMzVylHPfa+VY2LfGue917Xh/lysixSSgwtFxxpiRwFJgANDaz+VIoIqo4sxPMfhF51u9X96BDwfBoW1FNhvSpibTHu1D32bVSTmWw/1frOCJr1dzNDPHx4FFpLxQeyMnGt6uNtMe7UPvptU4fCyH+75YweMLXRy5dRa0vhyy0+DbO+DHhyEnw9/lisgFZgJx0kxjjAFigb8Dvay19U+yzd3A3QD169e/aOfOnSduIuVJYhx8czuk7ISQijDyNWhzRZFNrLV8vmQnL0yOJyvXQ93K4bx8dXsublTVT0WLiDEmzlrb2Y/Pf8r2Rm1N+WWt5bMlO/nHlHgyczzUqRTOf65ux8WHf4Spf4S8LKjRCq7+BKo393e5InIaZ9reBGQ4Os4YEw4cBBpYaw/42q5z5852+fLlJVeYBKaMFPjxIYj/0Xnc8WYY8k8IrVBksy1JaTw2bhVrE1MBuL1nLH8Y3ILwEHdJVyxS7vk7HBWq47Ttjdqa8mlLUhqPf72KNQmpGAO39YjlqQ65hE34HRzcAkHhMOQfcNHtYIy/yxURH860vQnIbnXHWWszcBqrQ/6uRUqB8Epwzacw7GVn0tiVnzl9wxNXFNmsSY0KfHd/Dx7p35Qgl+HjhTu47LX5xO087KfCRcTf1N6IL01qVODb+3rwcP+muIzTZgz56hBxQyYUTBo76TH46kZIP+jvckXkPAVUODLGVDXGjPB2c8AY0xf4zFqrmTzlzBgDXe+Cu+c43R0ObXVGF1rwCngKBqIKdrt4bGAzJjzQk2YxFdiWnM7V7yzin1M3aOJYkXJA7Y2cjWDvNBET7u9J85iK7Dh4jKs+WsPzQQ+TPep9CI2GjZPh7R6wdba/yxWR8xBQ4QhoCHwAzDXGPAw0Bp7xb0lSKsW0grtmQ7d7wZMLM8bApyMhNbHIZm3qRDPxoV7cd0ljAN6Zu5URry9gbUKqH4oWkRKk9kbOWtu60fz4UE8eurQJLmP4aOF2Bs+swZoRk6B+d0jbB5+Nhml/LjJ6qoiUHgF9z9GZUj9wOaXN02HCfZB+AMIqwcjXodXI32y2Ytdhnvx6NduS03G7DA/0a8KD/ZoQEhRo3yGIlB2Bcs/RmVBbI4WtTUjlyW9Ws3H/UYyBO3rU46nIKQTPfwlsHtRsB1d+CNWb+btUEaGM3HMkckE0HQj3LYImAyEzBb6+2Rm4ITu9yGad6ldm8sO9+V3Phnis5bWZmxn95kLW7dFVJBERKer4VaQH+zlXkT5YuJtBKy4mfujXUKlBwZxIyz+CMvBFtEh5oXAk5UOFGnDjNzD0JWewhhWfOo1WQlyRzcJD3Dw7ohVf3XUx9aqEs37vEUa+sZB/T9tAZo5uRRARkQKhQW6eHNyc7+/vQbOYCmxPTmfY91n8q+GH5La5ttBgDTdAWpK/yxWRM6BwJOWHMdDtHrh7tjNYw8EtzmANs/4OeUUnhO3WqCo/PdKH23rE4rGWN2dv9Y5op4GsRESkqHZ1KzHxoV480K8xLmN4e3ESA3fcwNY+r3oHa5gCb10M63/0d6kichoKR1L+xLR2Bmvo/iBYD8x7CT7oD0nxRTaLDA1izMjWjL+3O42rR7L1QDpXvbOYMT+uIz0r10/Fi4hIIAoNcvP7wS2KXEXq/3N1Xmr0IbkN+sCxg0637u/uceblE5GApHAk5VNwGAz+O9w2CSrVh72r4d2+sOiNIkN+A1zUoAqTH+6d36/8k0U7GPTKPOZt8jkvsYiIlFPHryI9fGkTgt2Gt1Zm02vPQ6zv8IwzYeyarzTkt0gAUziS8i22lzNYQ6dbIC8Lfv4zjB0Bh3cW2Sws2OlX/uODPWldO4rElAxu+WgpT36zmtRjOT4OLiIi5VFokJvHBzVn8sO96Vi/EvuO5jBsSSv+Wuttcmp2hCOJzpDfU34P2cf8Xa6IFKJwJBJa0Rne+/pxEFkDdi5wvtVb8elvRhhqXTuaHx7oyVNDWhAS5GJ8XAIDXpnLT7/u9VPxIiISqJrFVGT8vT14bmRrIkPcjN0cQpd9f2B10wexriBY+h682xsSNES8SKBQOBI5rvkQuH8JtBwJ2WnOcN9fXgdH9xXZLMjt4r5LGjP1kd50ia3MgaNZ3Pv5Cu7/Io6ko5l+Kl5ERAKR22W4tUcs0x/vS/8WNUjJtIxa24M/Vn6F7CrNCwYHmvm8Jo4VCQAKRyKFRVaFaz6FK953Rhja9BO82RVW/e83V5EaV6/AuLu787dRzjeCU9buo/9/5vLZkp14PJrTQkRECtSuFM4Ht3bmjRs6Uq1CCOMSq9Jp/59ZUedmrLUw/z8nnWJCREqWwpHIiYyBdtfA/Yuh6SDITIUJ98EXV0NqYpFNXS7Dzd1jmfZYHy5tUYOjmbn8ZcKvXPH2ItbvOeKnExARkUBkjGF4u9rMeLwv13SuS1peEFdsHcoTkS+SGdUIDmyADwfAz3+BnAx/lytSLikcifgSXQdu+BpGvwNh0bBlujNPRdwnv7mKVLdyBB/e2pm3b+xETFQoq3anMOKNBfx98noN+y0iIkVUigjhpava87+7uhFbNYLvDtanfdKzzKt2HRZg0WvwTi/YtcTfpYqUOwpHIqdiDHS4Hh5YCs0vg6wjMPERZ5ShE0a0M8YwtG0tZjzel9t6xGKt5f352xn437lMX7/fTycgIiKBqkfjavz0aB8e6NcYjzuUWxJGcqt5gdQKjZ17kT4aAlP/CNnp/i5VpNxQOBI5ExVrwnVfwJUfQngV2DYH3uoOS9//zbxIFcOCGTOyNRMe6EmbOlHsSc3krk+Xc/eny9mTom4SIiJSICzYmTx26iN96N6oKvOOxdIl+Vm+jbwWa1zwy9vOCKrb5/u7VJFyQeFI5EwZA22vcq4itRoNOekw5UlnXqTkLb/ZvF3dSky4vyfPDm9FZIibn9fvZ+B/5/LB/G3k5nlO8gQiIlJeNalRgf/d1Y1Xr+tAVIUKPHFwFKOy/8b+8CZweAeMHQ6THnPugxWRYqNwJHK2KlSHa8Y6o9pFVi+YF2nevyE3u8imQW4Xv+vVkBlP9GVI65qkZ+fxwuR4Rr25kFW7U/x0AiIiEoiMMYzqUIeZT/Tl1u4N+NUTS6/Dz/K++1o8JgiWfwRvdIX1P/q7VJEyy1hb+occ7ty5s12+XBOoiR8cOwQ/PwOrvnAe12gFI16Fel1PuvnM+P08+8M6Er3d667tXI8/DGlO1QqhJVWxSEAxxsRZazv7u44zobZGStrahFSembCW1QmpNDO7ebPiWJpmr3dWthgOQ19yBg8SkdM60/ZGV45EzkdEFRj9FtzyA1RuCEnr4cNBMPlJyPztUN79W8Yw/fE+3Nu3McFuw7jlu+n38hzGLtqhrnYiIlJE27rRfHd/T14Y3YZ9oQ0ZdORpxuT9jix3JGyYBG928977mufvUkXKDF05ErlQcjJg7kvOEKyeXKhYG4b9G1oOP+nmWw+kMebHdczfnAxAy1pRPD+qNV1iq5Rk1SJ+pStHImcmOS2LF6ds4NsVCcRwiJciPqOv5xdnZd0uTq+FmNb+LVIkgJ1pe6NwJHKh7fsVJj4Mid5ZzlsMd0JSVO3fbGqt5ef1+3l+4vr8rnaXd6zDn4a2oEZUWElWLeIXCkciZ+eXbQcZM3E98XuPMNi1jBfDPqWK5yC4gqDno9Dn9xCs9kPkRApHIv7kyYNlH8DM5yE7DUIqwqXPQJc7wR30m80zsvN4Z+5W3p67lexcD5Ehbh4d0IzbesYS7FbvVym7FI5Ezl6ex/Ll0l28/PNG8o6l8ofgcdzonoEL63TxHvYyNB3g7zJFAorCkUggSE2AKb+HjVOcxzXbwmWvQL0uJ91818FjPD9pPTPinUljm9SowJgRrenVtFpJVSxSohSORM5dyrFsXpm+ic+W7KQDm3gp9EOasNtZ2XIEDPknRNf1b5EiAULhSCSQbJgCU5+C1F3O4063wIDnnAEdTmL2hiSem7iOHQePATC0TU3+NLQl9atGlFTFIiVC4Ujk/G3Yd4TnflzPsm37ud39E48Hf0c4mRAcCZc8BRffD+5gf5cp4lcKRyKBJvsYzH8ZFr4GnhwIrwIDn4MON4Hrt13nsnLz+GD+dt6YtYWMnDxC3C5u7xXLg/2aUDFMjZyUDQpHIheGtZafft3HC5PjyUtJ4C/Bn3GZe6mzsnoLuOw/ENvLv0WK+JHCkUigOrAJpjwB2+c5j+t2heH/dbrcncTe1Az+/dNGvluZCEC1CiE8PrA513aph9tlSqpqkWKhcCRyYWXm5PHu3G28PXcLXfNW8nzwWGLNPmdlu+tg0N+gQg3/FiniBwpHIoHMWvj1W5j2NKTtB+OCrvdAvz9BWPRJd1m1O4W/TVpP3M7DALSoWZG/DG9Fzya6H0lKL4UjkeKRmJLBP6bEM2PNTu5xT+KB4B8IJQcbGoW59BnofMdJBwgSKasUjkRKg8xUmP0iLH0XrAciqsGAv/rsametZfLavbw4ZUP+0N8DWtbg6WEtaVS9QklXL3LeFI5EitfyHYd4YXI8hxI2MiZoLJe6VzkrarRyBmxo1Ne/BYqUEIUjkdJk7xqY+gfYtdh5XLsjDH0J6nU96eaZOXl8uGA7b83eQnp2HkEuwy3dY3mkf1OiI3Q/kpQeCkcixc9ay8Q1e/nXlHhaH53PM0GfU991wFnZciQMegEqN/BvkSLFTOFIpLQ53tXu57/A0T3OsnbXwYAxEFXrpLskHc3kvz9vYtzy3VgLlSKCebR/U27o1oCQIM2PJIFP4Uik5GTm5PHJoh28P2s91+b+yINBPxBhsrBBYZiejziTyIZoVFQpmxSOREqrrDRY8Aoseg3ysiGkAvR50hmKNSj0pLus25PKC5PiWbztIAANqkbw+8HNuaxtLYzRoA0SuBSOREreofRsXp2xiRm/rOQP7v8xyr0IAE9UHVyD/w6tRoPaDiljFI5ESrtD22DaM7BxsvO4SiMY/CI0G3zSRstay/T1+/nnTxvYdiAdgPZ1o/nj0JZ0b1y1JCsXOWMKRyL+s/VAGi9O2UDqhrmMCR5La9dOAGyDnpih//I5iqpIaaRwJFJWbJkJP/0Rkjc5jxtd4vQP99Fo5eZ5+Hp5Aq/M2MSBo1kAXNK8On8c2oIWNaNKpmaRM6RwJOJ/i7ce5MXJa2m9/0d+HzSOKiYNi4EONzoj2/no2i1SmigciZQleTmw9H2Y+09nhDsMdLwR+vlutI5l5/Lh/O28O28baVm5GANXdKzL44OaUadSeMnWL+KDwpFIYPB4LD+u3sO7P8dx9dEvuNk9nWCTR15QOO5ej0KPhyAk0t9lipwzhSORsujYIZj7Eix7Hzy5EBwBPR85ZaN1MC2L12dt4YtfdpKTZwkJcnF7j1juv6SJRrYTv1M4Egks2bkevly6iwkz53FP9qcMcS8DICcihuCBz0L768Hl9nOVImdP4UikLDu4FaY/CxsmOY8r1oJLnzllo7XzYDr/nraRSWv2AhAdHswD/RpzS/dYwoLV0Il/KByJBKb0rFw+XLCduHmTeNx+SnvXNgCyq7UiZOg/oHE/P1cocnYUjkTKgx0LYdrTsNc7qV9MWxj8gnNfkg9rElL459QNLNrqjGwXExXKQ5c25ZrO9TT8t5Q4hSORwHYoPZs3Z20i5Zcvedz9JXWM03ZkNRpA6JC/Q40Wfq5Q5MwoHImUFx4PrP0GZj4PRxKcZU0Hw6C/QfXmJ93FWsvcTQf497SNrNtzBIB6VcJ5pH8zLu9YB7dLQ7hKyVA4EikdElMyeH3aWqqu/YB73T9S0WTgwU1Oh5sJHfAMVKju7xJFTknhSKS8ycmAJW/B/Fcg+ygYN3S8Cfo+BdF1TrqLx2P5ad0+/jt9E1uS0gBoXD2SxwY2Y1ibWrgUkqSYKRyJlC6b9h/lnSlL6LT1ba53z8JtLNmuCDzdHyCs98MQplFRJTApHImUV2lJMOdFiBsLNg+CwqDr3dDrMYioctJd8jyWH1Yl8n8zNrPr0DEAWtaK4slBzbi0RQ1NJCvFRuFIpHRasesw46ZMZ1DiW/R3rwQgI6gSrr6/J/TiOyE4zM8VihSlcCRS3iVvhlkvwPoJzuPQaOj5MFx8n8+R7XLyPHy9fDevz9zCviOZAHSsX4knBzWnZ5NqJVW5lCMKRyKl29Lth5gyaTzDD7xPZ5czH9/R0JqEDPwzoZ1u1Mh2EjAUjkTEkbjCuR9p22zncWQN6PsH6HQrBIWcdJfMnDy++GUXb83ewsH0bAC6N6rK44Oa0SX25FefRM6FwpFI2bBoywHmTvqMyw99RAvXbgAORzYicsgYQtqMBPVAED9TOBKRorbNgRnPwZ4VzuPKsc4ksm2uBNfJR6lLz8rlk0U7eHfuVo5k5gJOSHpkQFMublS1ZOqWMk3hSKTssNYyf+N+4ia/z1WpY6nnOgDAgag2RI/4OyFNL/FvgVKuKRyJyG9ZC/ETnStJBzc7y2LaQP+/QtOBPr/ZS83I4cMF2/l44XaOekNSt4ZVeGRAU7o3qqp7kuScKRyJlD3WWuasT2Dj5Ne5Mv1LqhtnVNSEKt2pNurvhDW4yM8VSnmkcCQivuXlwuovnYEbjiQ6y+p1g0v+5MyRdIqQ9PHC7Xy0YHv+laQusZV5pH8zejZRSJKzp3AkUnZZa5m5ZhuJU//L5RnfEmUyANherR81R44hvH4HP1co5YnCkYicXk4mLPsA5v8HMg45y+r3gH5/goZ9fO52JDOHsQt38MGC7aRm5ABwUYPKPNy/KX2aVlNIkjOmcCRS9nk8lrmr4kn5+SWGZkwizDjtxpaql1Jz1Bgq1G/v5wqlPCi14cgY0xd4DWgELAbutNbuOtU+arBEzlPWUfjlXVj0OmSmOMtieztXkmJ7+tztaGYOny7eyQfzt3H4mNPYdahXiUcGNOWSZtUVkuS0/BmOzra9UVsjcn6stSxavY7D015i4LEphHpD0saq/ak5cgzRDdr5uUIpy0plODLG1ABe9v7UBt4FNltrB5xqPzVYIhdI5hH45R1Y/AZkpjrLGvaBS56GBt197paWlcvnS3by3rxtHPKObte2TjT3X9KYwa1rajJZ8clf4ehc2hu1NSIXhrWWuLXrSJ72L/qlTSHU5OKxhg3VBlBzxF+pEtvW3yVKGVRaw9H1wBRrbar38e3A29baU84kpgZL5ALLSPGGpLcgyxuSGvWDfk9Dva4+dzuWXRCSktOckNSoeiT39m3M6A51CAk6+ah4Un75MRyddXujtkbkwlu1bh3JU1+kz9EphJg8PNawvtogml/7AsE1mvm7PClDSmU4OpExZijwqrX2lH8darBEiknGYScgLXkbso86y5oMcLrb1fX9+ZKZk8fXy3fz7txtJKY4N+DWjg7jzt6NuK5rPSJCgkqieikFAuWeozNpb9TWiBSf9fHrSJryD3ocmeqEJFy42l0DfZ6Eak39XZ6UAWUlHP0ZyLDW/vdU26nBEilmxw45Xe1+eRey05xlDfs6jVZsb5+j2+XkeZi4eg9vz9nK5iRnv8oRwdzesyG3do8lOiK4pM5AAlQAhaOTtjfGmLuBuwHq169/0c6dO/1Rnki5sShuBTu+f56r3fMINnmAgdajofcTUFPd7eTclfpwZIyJBD4CbrTW5p5kvRoskZKWftAJSUvfL7iSVLerE5KaDvIZkjwey4z4/bw1ZyurdjsDPkSGuLnx4gbc2ashNaJO2XNWMnyiDgAAIABJREFUyrBACEena2+O0xdxIiXjT9+tYf6yOP4SNZVBObMwHmfgBpoOdtqbU3TvFvGlLISjMTj9v/efbls1WCIlLOOwE5CWvOX8P0BMW+j9OLQaBS73SXez1rJ420HenrOV+ZuTAQhxu7jyojrc2bsRjatXKKkzkAARIOFoDGfQ3qitESkZRzNzGPzKPPakZtKrRhZ/rTqTJru/xeQ63bSJ7e2EpIZ9fX4pJ3KiUh2OvFeFZltrN3sfh1hrs31trwZLxE+y0iDuY2cI8DTvvyurNoVej0G7a8Dtu9vcmoQU3p6zlZ/W7eP4x9CAljW4q3cjujasomHAywl/h6OzaW/U1oiUnKXbD3H/FytITssCoEXFTP5Raz4d943HHO+5UKezE5KaDVFIktMqteHIGHMbkAcs8y6KARpaaz/xtY8aLBE/y8mEVZ/Dglch1TtNTHR96PkwdLwZgn13m9uSlMaHC7bx7YpEsnM9ALSrG81dvRsxtE1Ngtwa4a4s8/M8R7dxFu2N2hqRkpWZk8ePq/bw/vxt+fetxoRk8mLdJfQ99A3uzOM9F9o4X8q1vtxnzwWRUhmOjDFDgEnAie/s5tbaTb72U4MlEiDycmDtNzD/v3Bws7OsQgx0uwc6/w7CK/vcNTkti08X7+TzJTvz50qqUymc3/VqyLVd6lEhVCPclUV+HMr7rNsbtTUi/mGtZc6mA3wwfxsLtxwEINJk8lzd5YxM/5aQY96eC5UbQvcHoMONEBLhx4olEJXKcHSu1GCJBBhPHsRPhPkvw761zrLgSLjoVrj4PqhU3+euGdl5fLsigQ8XbGd7cjoAFcOCuKFbfW7v0ZCa0Rq8oSzxd7e6s6G2RsT/1u1J5YP525m4eg+5HksIOTxRI46b874nIn23s1FEVehyF3S9CyKr+bdgCRgKRyLif9bC1lmw6DXYNsdZZtxO14eeD0Ot9j53PT7C3Qfzt7N0xyEAglyGEe1r87ueDWlbN7oETkCKm8KRiJyLvakZfLJoB//7ZRdHM3Nx4eHm6NU8GDqF6kfWORsFhTlXkbo/AFUb+7dg8TuFIxEJLHtXOwM3/Pod2DxnWaNLoMfD0PjSU95Mu2p3Cu/P38bUtXvxeD+yOjeozG09YxncuibBui+p1FI4EpHzkZaVy7hlu/lowXbvpOOWviGbeLrSdJofWeTdykDLEU57U6+LP8sVP1I4EpHAlLILlrwNcWMhx+k2R0xb6PEQtLnilCPc7T50jLGLdjBu+W6OZjrT0dSKDuOmixtwfdf6VIkMKYkzkAtI4UhELoQ8b2+DjxduZ8k2p7dBE5PAs1Vm0itjFq7jcyXV7+6EpGZDwKUv1soThSMRCWwZh2H5R/DLuwXDgEfVcfqId7oVIqr43DU9K5fvVibyycLtbD3gBKyQIBejO9Tm1h6xtK6tLnelhcKRiFxo8XuPMHbRDr5fmUhWrocaHObRirO4yv5MSK53GPCqTaDbvdD+egjVHHvlgcKRiJQOuVmwZpzT5S7ZO0hYUDi0v85puGq08LmrtZYFW5L5eOEOZm1Iyl/etWEVbu8Ry8BWMRoKPMApHIlIcTmcns1Xy3bz2eId7EnNJJIMbg2dyz0h04jO8X4pFxoNnW52vpirHOvPcqWYKRyJSOni8cDWmU6Xu60zC5Y36ueMcNdk4Cm7QGxPTufTxTv4ZnkCaVlOl7s6lcK5oVt9ru1Sj2oVQov5BORcKByJSHHLzfMwff1+Pl64g6U7DuEmj8GuZTxaYQbNstc7GxkXNB/mtDcNempS2TJI4UhESq8DG+GXd2D1V5BzzFlWpbEzX1KHGyC0os9d07JyGb98N2MX78wfCjzYbRjSphY3datP14ZVMGr0AobCkYiUpF8TUxm7aAc/rt5DVq6HtmYb94dPZ5BdiNs6X6wR0xYuvhfaXHXKScyldFE4EpHSL+MwrPgUlr4Pqd75K0KjoKO3C0SVhj539Xgs8zYf4PMlu5i1YX/+KHfNYipw08UNuLxjHSqG+R78QUqGwpGI+EPKsWzGxyXwv192sS05neoc5pbgmdwaMpuovMPORhHVoPPt0PkOiKrl34LlvCkciUjZkZcLGyY5V5N2LfYuNNBsMHS5Exr3P2WXu8SUDL5auosvl+4mOS0LgIgQN6M61OGmi+trAAc/UjgSEX+y1rJo60E+W7yT6fH7cXuyGeFazL1hP9PUs83ZyBXkDAXe5U51uSvFFI5EpGzas8oJSb9+C3nZzrLKsdD5d9DhJois6nPX7FwPP6/fx+dLduYP9QrQsX4lburWgMva1SIs2F3MJyCFKRyJSKDYl5rJV8t28eXSXew/kkkXs5E7Q35igInDjXd+vuotnCtJ7a+FMH2xVpooHIlI2ZZ2AFZ+Bss/htRdzjJ3qDNXUuc7oG7nU367tyXpKJ8v2cW3KxLy50yKDg/m8o51uK5rPVrUjCqJsyj3FI5EJNDk5HmYGb+fz5fsYsGWZGpykOuDZnNT8GyqWm+Xu+BIaHe1czWpZlv/FixnROFIRMoHTx5sng7LPoAtMwDvZ1rNdk6j1fYqCIn0ufux7Fwmrt7D50t2sTYxNX95+3qVuL5LPYa3r02F0KBiPonyS+FIRALZtgNpjFu2m/FxCaSmH2OgK45bgmbQ3bWuYKN63Zz2ptUoCNLIqIFK4UhEyp9D2yHuY1jxGWR4u82FRjsj3HW+Hao3P+XuvyamMm7ZbiasSsy/mhQR4mZk+9pc26UeHepV0kh3F5jCkYiUBtm5ztWkr5btZt7mAzQikZvcM7g6aD4V8I6qGlEVOt7kTGRetbF/C5bfUDgSkfIrJxPWT4BlH0LC0oLl9S6Gi26FVqMhJMLn7hnZeUz9dS9fLd3N0h0F9ya1qFmRa7vU4/KOdagUEVKcZ1BuKByJSGmTcPgY3yxP4JvluzmcmsIo9yJudk+ntWtnwUaxveGi26DFcA0HHiAUjkREAPaudkLSr99CdpqzLDQK2l7tBKVa7U+5+1Zvl4pv4xI4mO4MABES5GJw65pcfVFdejaphtulq0nnSuFIREqrPO+UEeOW7mZG/D7a2s3cGDST4e4lhOEdMCi8MrS7DjrdAjGt/FtwOadwJCJSWFYarPsO4sZCYqHPi1rtnS4Qba865chD2bkeZni7VMzffIDjH501o8K4vFMdruxUlyY1KhTzSZQ9CkciUhYcOJrFdysSGLd8NwcOHGCUeyHXumfT1rWjYKO6XZyQ1PoKCFV7UdIUjkREfNm/zplcdvVXkJniLAuOgNaXOw1XvW6nHOku4fAxvluRyLcrEth58Fj+8o71K3Flp7qMaFeb6AhNMHsmFI5EpCyx1rJqdwrj4xKYuHoP9bI2c517NqPdC6loMpxtQipg2lzpfDFXp5PmTSohCkciIqeTkwnxE2HFWNgxv2B5tWbOIA7troWo2j53t9ayfOdhxi9PYPLavaRlOYM4hAS5GNQqhqsuqkvvptXV7e4UFI5EpKzKzMljZnwS4+N2s2xzAoP5hWuDZtPVtTF/G1ujFab99U57UzHGj9WWfQpHIiJn4+BWZ96klV9AepKzzLigUT8nKLW4DILDfe6ekZ3HtHX7GB+XwMKtyfnd7mpUDOXyjnUY3bEOLWtp7qQTKRyJSHmQdDSTH1buYXxcArlJG7jWPYcr3fOoao4CYI0b06S/0940G6pBHIqBwpGIyLnIy3HmS1r1P9g4FTw5zvLQaGhzOXS40ek3fopuEIkpGXy/IoFvVySyPTk9f3nzmIqM6libUR3qUKeS76BVnigciUh5Yq1l3Z4jjI9LYPLKHXTIWs5V7nlc6lpJsMlztgmNxrS9ymlv1O3uglE4EhE5X8cOOaPcrfoC9qwsWF6lsfPtXvvrILquz92ttcTtPMz3KxOZvHYvKcdy8td1ja3CqI61uaxtrXI9LLjCkYiUV9m5HmZvTOLbuARWb9zCUBZylXsebQoN4uCp2hRXxxtP281bTk/hSETkQkqKd64mrfka0vZ5Fxpo2MdptFqOgDDf3eaycz3M23SACasSmb5+P1m5HgCC3Ya+zWowqkNtBrSMITzEXQInEzgUjkREIPVYDlN/3csPq/aQsmMlV7jmMdq9gOrmCADWuKBhX0y7a5y5k07R3sjJKRyJiBSHvFzYNtsJShsmQ16WszwoDJoNgXbXQJOBEOT7alBaVi7Tft3HhFWJLNySjMf7MRwZ4mZwm5qM7lCHHo2rEuR2lcAJ+ZfCkYhIUftSM5m0Zg+TVu6iyr75XOmexwDXCkKNM+iPxx2KaTEM0/bq07Y3UkDhSESkuGUchvU/wJpvYOeCguVhlaD1aGh7DdTvDi7fISfpaCaTVu/lh1WJrE5IzV9erUIow9vV4rJ2tbiofmVcZXTEO4UjERHfth5I48dVe5i1cgNtUucw2r2Qbq4N+evzQqNxtb7cuaJ0mvamvFM4EhEpSakJsHY8rP0G9v9asDyqLrS90glKNduc8hDbk9P5YVUiP6zaU2Qgh5ioUIa1rcXwdrXoWK9sBSWFIxGR07PWsjYxlQkr97B09Wp6ZcxhlHsRLV278rfJqVCHoPZXO1eUTtPelEcKRyIi/rJ/Paz92glLqbsLltdoBW2ucGZHr9rY5+7HG8HJa/Yyac1eElMy8tfVig5jWNtaDGtbi471KpX6oKRwJCJydvI8liXbDjJx9R62/LqUS3PmMtK9iLomOX+brMrNCGl/FabNFVCtqR+rDRwKRyIi/ubxwO4lziAO6yc43fCOq9kOWl/udL+r0sjnIay1rE5IZfKaPUxes5c9qZn562p7g9Jl7WrRoV4lTCkc7lXhSETk3OXkeViy7SBTVieyf91c+ufMZZj7FyqbtPxtMqu0JLT9lZjWl0O1Jn6s1r8UjkREAkluNmyd5YSkDZMh60jBulodCoJS5Vifh7DWsnJ3ClPW7GXy2r3sLRSU6lQK57J2zhWl9nWjS01QUjgSEbkwjgelaat3kbJuBn1zFjDYvZwocyx/m8yqrb1BafQpezCURQpHIiKBKjcLtsyEdd/DximQXfANH7U7FQSlSvV9HsLjcYLS5DV7mbJ2L/uOFASlWtFhDGoVw+DWNenasEpAj3qncCQicuEVBKWdpK6bziW5CxnoWk6UKeimnV61DeEdrsLVejRUaejHakuGwpGISGmQk1EoKE2FnIKBGKjT2QlKrUZBpXo+D+HxWFbsOsykNXv56dd9RYJSpYhg+reIYXDrGPo0q05YcGDNo6RwJCJSvHLzPCzZdoifVu8gbf10+uQsYKArjoqFgtLRKk5QCmoz6pRdvUszhSMRkdImJwM2T3eC0qafIKegKwS1OkDL4dBiBFRvDj66zVlrWZOQyk/r9jFt3T62HSgIW+HBbvo2q87gNjFc2iKG6PDg4j6j01I4EhEpObl5HpbvPMyMtTs5+us0umc6cyhVMAVfqh2JakZo25GEthkFNdv6bG9KG4UjEZHSLPsYbP7ZCUqbpxe9olS1iTNDessRTje8U8xrsSXpKNPW7Wfaun2sKTSPUpDL0L1xVQa1rsngVjHUiAorzrPxSeFIRMQ/rLWs33uEmWt2krJmKu2PzqGfa2WRrndp4XVwtRpORLvRUK8buAKr98HZUDgSESkrcjJg2xyIn+Tco5RxqGBdxVrQ4jInLMX2Arfvq0GJKRn87L2itHT7ITzej39joH3dSvRvUYP+LWNoWatiiQ3ooHAkIhIYdh5MZ+avu9m7ajoNk2cx0BVHdVPwpVpGcGWymwwhquPlmEaXQFCov0o9JwpHIiJlUV4u7FrkBKUNk+FIQsG6sErQbIjT/a5xfwiJ8HmYQ+nZzIjfz8/r9jFvczLZuZ78dbWjw7i0pROUujeqWqz3KSkciYgEnuS0LGat38PWFXOosWc6A1hGA1dS/vpMVwRH6vajUqfRhLQYAmFRfqz2zCgciYiUddbCnpWwYZITlpI3FqwLCodGfZ2w1GwwRNX2eZj0rFwWbklmZnwSMzckkZyWlb8uPNhNr6bVGNCyBv1a1KBGxQvb/U7hSEQksKVl5TJ/YxLxq5cQuX0qvXN/oZVrZ/76XIJIrtaZyDbDqdhueMCOfKdwJCJS3iRvhviJTlhKjCu6rmY7aD7UCUq1Ovq8T8njsaxNTGVm/H5mbkhi3Z4jRda3rxtN/5YxXNqiBq1rR5139zuFIxGR0sPjsaxJTCVu5Qo88ZNon76Ai8wm3KYgTxwMb0hek0FU6zQSV/2LwR3kx4oLKByJiJRnR/Y6AzpsmgbbZhcd+S6yBjQbBM2GQqNLILSCz8PsTc1g1oYkZsYnsXBLMlmFut/Vig7jtes70iW2yjmXqXAkIlJ67U3NYNGaTRxeM4Va++fS26wuMunsMXdFDtfuS6X2I4hsPRjCK/utVoUjERFx5GTAjgXO8OAbfyp6n5I7BGJ7O1eVmg6Cyg18HiYjO8/pfrdhPzPjk0g6msUvT/cn5jxGulM4EhEpGzJz8liyeR9b42YQsWM6XXOW09i1N399Hi72RnXAtBhCzc6jcVdvVqLDhCsciYjIb1kLSesLglLCMqBQO1C9JTTpD00GQIMePkcjstayJSmNpjEVz6schSMRkbLHWsuGfUdZtWo5OfE/0TRlPp3NRoJNXv42B4NrklK7L1XbD6VS6wEQen7tyekoHImIyOmlJzvzKG36CbbMhOyjBeuCI6BhHycoNelfLLOmKxyJiJR9aVm5LIvfTtLKKUQnzKJr7nKqmLT89TkEsadiO2gygNqdRxBc+8JPPqtwJCIiZyc3GxKWwpYZsHkG7F9bdH2VRt6gNMCZUykk8ryfUuFIRKR8sday48BRfl0+l9xNM2hweBHt2VxkUIcUd1WSYnoR1WYIMR2GYCLO/d7W4xSORETk/BzZC1tnOWFp6yzITClY5w5xut0NfB5qtT/np1A4EhEp3zJz8li5cQd7Vk4hctdcOmQvp6Y5nL8+DxfbKlxEk8d/xvgYafVMnGl7Exhj64mISOCJqgUdb3R+PHnO8OBbZjg/iStg2xwI8T3SnYiIyOmEBbvp3qYxtHkIeIh9KRlMW7GIzPhp1E5eSHtPPEdy3ecVjM5GwIYjY0wYEGqtTfV3LSIi5Z7LDfW6Oj/9nob0g7BzYbHch1TS1N6IiASOmpXCqXlpf7i0Px6PZdOuvYSlJ5fY85dMBDsLxhiXMeY2YBPQxc/liIjIyURWhVYjS3QY1gtN7Y2ISGBzuQwtYmvTunW7knvOEnumM1cNmAnU83chIiJSpqm9ERGRIgKuW521NgnAlOJvI0VEJPCpvRERkRMF4pUjERERERGREqdwJCIi4oMx5m5jzHJjzPIDBw74uxwRESlmpTYcqcESEZHiZq19z1rb2VrbuXr16v4uR0REilmpDUdqsERERERE5EIqteFIRERERETkQgrIcGSMCci6RESkbFF7IyIihQXcUN7GmBrAnd6HNxpjEq218afaJy4uLtkYs/M8nrYaUHJT75Y8nV/ppvMrvcryucGFOb8GF6KQc3G27c0FaGtA74nSriyfX1k+N9D5lXYl1t4Ya+15Pk/pZ4xZbq3t7O86iovOr3TT+ZVeZfncoOyfX3Eo66+Zzq/0KsvnBjq/0q4kz0/dCURERERERFA4EhERERERARSOjnvP3wUUM51f6abzK73K8rlB2T+/4lDWXzOdX+lVls8NdH6lXYmdn+45EhERERERQVeOREREREREAIUjERERERERQOFIREREREQEUDgSEREREREBFI5EREREREQAhSMRERERERFA4UhERERERARQOBIREREREQEUjkRERERERACFIxEREREREUDhSEREREREBFA4EhERERERARSOREREREREAIUjERERERERQOGoRBnHTcaY+caYxcaYqcaYncYY6/0Z7e8az4YxpoMx5t/GmHhjTIPzOM5qY8xrF7K2s3hutzHmUWPMHGPM5f6o4VwZY6oaY/5sjFlijOnr73oAjDGvGmNW+7sOAGPM1caYyiX8nD8YYyaUwPM0NMZ8bIzpfcLyK4wx4cX9/HJhqW3weRy/tQ2BwBjT0RjzjjFmhr9rOVvGmMHGmE+MMd/6uxYAY0ysMeagMebqAKilljFmRAk/Z3djzGFjzMXF/DwuY8zNxpiPfKy/zhjzpjHmaWPM18aYxiescxdnfWdK4aiEeH/hXwBvAM9Za7tba4cCscDjgMeP5Z2rNcA6oAVgznSnk/zjbSmw/gLWdcastXnAOKAvcF5/lCX9j1Jr7UFgFtCN83v9z9lJjrURWHKhjn+ujDEvA6nW2sNnsc+FeF3WAKsuwHF8MsYMB14HbgNCT1g9DfivMaZGcdYgF47ahgKB1DYEiFWABWqe74H88KXJDCAGqHqmO1zoGk843lHgFyDhQj7H2TLGtAFexPmsPtN9gowxQef51Adxzj/5PI/jkzEmFngAeBtodpL11wAvAI9Za/8BfAjMMMZEeTeZDbwZCF/wKRyVnKeA64E7rbX53wJZxyvAK36r7BxZaz3AjrPZxxgTAzx3wnHusta+cwFLOyvW2r0X6FDvXqDjnI2zqt0Y0wp4+EI8sTHGBbxVeJm19i1r7T0X4vjnyhjzNJBirf35LPb5zfvyXFhr/2KtHXO+xznNc0zCx+eFtTYdp+F9yxhzxv8oFb9S20Bgtg3+Zq21wP7zPc6F/Nw/U94vHs+29gvWhhpjBgD5V4mstQettcOstYsv1HOcQ03VgU+BJ6y12Wex67NA3fN5bmvtJmvtEGvtlvM5zmmeY4e19nVg5YnrvF8CvQR8fvzcrbXTcL6Ufsj7eD9OYPpvcdV4phSOSoA3Ff8R2GqtHe9jszeB3JKrquR5vw0YB/zmW+1AuZR6rowx9wE3+7uOUzHGVAXGAxfqW5kXgX4neR6//S6NMc2AR4H/nMU+Pt+X51hDSYSSPF8rrLW7gCTg3hKoQ86D2gZHWW4b/K0YPveLxYVsQ40xDYHPOMm/cf38fnoZ+Mbb6+OMeHsK/PlCFeDH9qkz0ABYdsLyZcC1xx9Ya5cBDYwxQ4uvvNNTOCoZ/YCKwDxfG1hrt1trJxljOhljthhj5gAYYxp5+xxbb5/ZMGPMY8aYRcaY640x7xtjEo0xW40x7YwxA40xM4wxqcaY/PRtjLnbGDPdGPOIMeZfxpjtxpi9xpgB3uec6N3nS+Pch+Myxjzofd7bvMe41Biz8Xhtvnif62/eOqcbY1p7Vw0CGgOdjTEvG2NaG2MuM8aMx3sFwhgTY4yZ5H3evxY65hhjzK/G23/dGHOJMeYNY8xXxunXfouPWmobY57x1t3ZGLPMGJPhfY3qnLB5hDHmI+P0y11njGlX6DjBxpgXjDH/NM59NUuMMaO86+oAI7z//3Kh1+tU+1Q0xjxujInz/s6+NMYc9dYVhQ/G8bT39/5n4MGTbHOlMeZ1Y8z3xpi1xpgh3lUjgTrAIG+dtU+z/fE6nzPGPGuM+cL7E22crgG9gcreY400xrQ3xryB0xWmcD3dvPU+b4z5yRjzoTGmknddD2PMWGPM58a5R2izMeaAMebGQvs3Msb8xxhzp/f1+T9frw9OMJpnrc0otP8NxrmH4zFvDQe874fjv9+TvS+HG2PGe1+bL4zzt9HWGFPHGPOeMeYe4/Snf6HQ8/Q0xrwPfH+K+krKVOCPxujqUYBT2+Ao8bbBu22UMeYtY8z93n3eM8YEe9cdP8dFxpha3mUXGWOSjNM96PgxbvS+buO92ycZYyYcP85pXo/hxrnv4s/eYxwyxuwzxtx/km0HG2PWGGOOGGNeOWGdz89YfH/un9fnso/zael9n7xgjPk70OSE9VWMMS95n3e1cdrbCOO7DT3p9oWO198497aNMcYsMMZc4V11OU5XxGu9xws3TvuxALip0P7n3UYbY54wxjxgjPmLMSat0Ot+4mtTG7gRmFhoWUPv732dcf5GF3qf49XjNQDX4fxb/Wnj/N3U975ffvC+1/cYYz71bn/Svy9jTCVjzEPGmKVAn1P9DotRe+9/d5+wfDfQyhgTUmjZVODpEqnKF2utfor5B/g9Tr/hv5/h9p8Ccwo97ufdPxan/3YD7+NvcD70XMBCYAMwwrvPUO82zbyPo4AjwJxCy77EeWPe7j1ua5z+7QO9613eY9xWqJaxJ9R2yfHavI/bex/X9T5+DZhZaPs5wCeFHtcGNp2wrC6QA9xfaNlNwBXe/28IfHrC6+sB2pzktayC0y3FAo8B1YErgQxgaqHtLDAd58M8HFgOfFdo/efAvws9vsz7nJd5H9+GtxfEmezjfW07e5/3I+/rEAukAY+e4r3xLPBVocdXeY9xifdxT+Cfhda/CRwDqnsf7wDGFFrvc3tvjXOBiwq9hzKBf3gfjwF2FNq3KvDJCcvaAgeAGO/jYGARzn1JLpxL6pO8dV3tXf86cAhwFfp7GOn9/wjgT6d4fXYBz5+wLBQ4jPM3cpH3GEuBCSd7XwJhQA/v6/qt9/f0Ns7f2vfAB4XeWxbo7X1cH1hAob+PYvxMucT73AN8rG/kXd+tuGvRz3n9HtU2FGyf/zfofVysbYN3/SvAjELndBi4udD6qcDSQo/DgS8KPe4GbCn0eCaw6yx+/21x7oVZCnTxfoZMLPy3i/M5exin61EQzuekBdoVOobPz1jvsh0U/dw/78/lk5xLdWAP0KrQ67n6hPfEt4WesxbOFdF/ex/fxm/b0FNtPxTnipjxPv6H970R6X2c//7EaQPa8Nv37Hm10TifsysK7f8EUMnH6/M7nCsqQYWWuYEnvXU/DkRS0KZ38PF3VAv4Ctjnfc1u8r43fP594fyNF/m3QjF/rs0BFpyw7E/e5298wvIXvMtrFVp2qff3ULO4a/X1oytHJeP4ZdwzvaHuxBtwbf7/OHZ6H0621iZap3/3PCDMWnv8W4lZ3v+29u53BOeDbY61dpN33RzajuOKAAAgAElEQVScP6SPvcddh9NHuI13n5PdCGxPsqyw3cA/KehrnI7TYJ2UtXYPzgdq4WUJwHc4f/jHDQJ+9P7/U0B177c9/8T5gFqE88F14vEP4XxAA/yftfaAtfZbnH6tQ45/i+b1hbV2i3WuOkwHWgIYY5rifOPzbaHjTgZWAH892Xmdbh/va3v8xshPrbV7rLU7cG5kbunjmJVxPmA+LrR4+Qmb/QWILfTahHufs/7Jjnma7UfjNDxx3vqPeJd9fLIDWaerwI4TFj8FxFmnLzHW2hycRqwbMMQ6/dKTcQLVN971E4HKODfzgtOwPWKMibLWHsNpqE72+lQE6uF0KStcVxaQCky31sZ5jzEDH6+ztTbTWrvI+3C6tXa5tfY+a20iTmP8lXdd+v+3d+fhkpXlvfe/P2ihDRpAaMUwiEZDQxAHWoyihknlIB76zXzigCMRjUHRGI28RBNNgBw0GgnaimArOUaTyJHXRD1BIMkJgm2IiWHyEAbFNlcbpOMBGVrv949nFVQXtfeu7q69a+/q7+e69lV7rbpr1b1qWE/daz3rWd3tY7vH3QrM2p87yReT3D3C32NmW84Iet+/Q7dxOZpftg0zmO+2ofN54CPd/xmS0/uBp6WdswNt+/dnfff/PJtvbz5JKxJGUlX/QjtR/q+r6ivdNuQkWhHwyr7QjVX1x1W1qW9de9uvWbexMzz1OLbLg94E3FJV13TL/BF9556kjZL2dOCN3XtzCu1z9mMPXtRI8WcCf1Ldr2lal7UTq513uZmquqeqvj6w/HG00TsDT8wDo0l+lAfahUE/DXyvew97z9d7nZdV1Xu63Aff38F1WU/b2UFVXVBVn6h2ns+M36/uOz74W2EzSZ4zYtv04dmWM4veOVaD24kauJ9uHQI8dSufa5tt6+gXGk3vMOI2nVA3h3v6J6rqnrQeNTN20Rp8TN+82R4zq64YeVtaN6sn0EYs2Zoi/EPAJWndt24Hvt23UXkKcF5VrdnC3Pq/lJfTRlV5LAMNcOceHuij3fuCDm70rgZOnOHptuYx0DYQgyOQ9TyTdlRjttF2nkLb8znqYAQzxid5MQ/+cfL5EZfbcygPHm2q12A+BfirIY/pbSR7r8Pv0X7gXZvk9VX1lzM8164Dj5/NbK9zv7v7J6rqwiR7JTmVtscXtuzz/Spm+DEwYNhnckv0uhWO/ENNE2HbsOXG1jZU1RfSugm/nvYjbdlATl+g7fB5Je3H/3NpxUvPQ2g7l9K1L98E/m0r1qm/yF2f5AZmKBz73r9e+7Q129hxbJcHHc3sg3A8hXZU7a2zxIwUn2RX2tGv+7eT3efrT0dcNoyhja6qa5OcD3wmySdoo7DdN8PjdmWEtqmq7u3e37nap8G2aVu/X+uAJ48Qt3ELltmvtxNhl4H5uwD31ObnYU28/fLI0cL4Em1P0HPSRvhaSFtzzsFWn6eQ1n/4C7RDpGcD/7I1y6mqL9G6VLyStnfngr67f4whDUeSUX7s9vR+2P7nCLG9kwsHf8B8l5lPlN6ax8zlYd3t0D7NnS19bWaLfwitm862+CHDXwNoXQnm1O3xeyrtCOBfpO98iQG9Ru5hM9y/zbo9hJ8BPlZVW7wHrapurarrRvgb6bWZRe+IxN2zRmnSbBu20DjbhiTPoO14ubiqPsCDf3D+CPgw8OIk+wHr+/f80076fwTQO9flibQjGtvq+4zWNsHWbWO3ebs8xMOYu23af3Bm2jDVwz77M8bzQOGwLe3TuNroXwNOpnXF+5e0QYGGuZP5bZu26ftVVXeN2DZt7ei+vUtcDL7e+9CG/e838fbL4mgBdB+m82gfgpkGDnhokqf1HsLm782kR+vZklxOofWV7g3JOfgZK0ZvYD9E6097QFVd1zf/G8CLsvmJmQ+nbaBG9Vhan91RrqFxFa07y+ED83+C1mUDuj1/yf0nwI/ymC3V67I12wmV3wBe2d/YJNkH+NW+PDNi/LXA05M8pf8J8sDFckd5L78M/HS3p6+n15VxpNchyXOrDRF6HK1f9huSPGIwrto1jTYwewM9kznXJcly2nkVf1ZV/7E1P2aTXJJk0wh/21qU9i5+e+M2LkfzyLZhM5NoGy4ALu26Sw3LCdr7szutEPrYZglX/SNtiOxfTvIm4NqqWjviOgzVtSGP4YHuj3MZZRs7+Npu83Z5iP9DG1BjpiPj3wCGXfz0jbRiZ7ANnS3++7QiZrMROdMGNfjJ/lmz5LvNbXTaoD6PrDbc/EG0gvZBg2l0rgceli0fLa93VHGu78Zc369ZJfnZEdum87Ywf+D+LqTf4MFdvZ8GfGpg3sTbL4ujhfNG2gWu/iTJiQM/Rg+m9VXtHSK+GXhy2sgv+9JGK4FuL8oMX64d6Osm2RfT/4UafNwOXeyygZj+x9wMrE4bueUY4BDgUd0PRfqes7fsnwB2SRtt6NG0E+t2T7Jnt/fuduCAtBGPeoe1HwL0j1TScwFtT8vghuoc2rklf53keWlDXX6Sdj7IjNIuUEbaqCivAn67qn7Yt/79ows9pLduXT/wjwAnpZ330zus/3weOOfo9u52ZVdMfGuEx/Set//13omZv5f/SNugvynJ07t5z+1un9EVDOfQNjafTnJk2tXAP8QDr83tXY4P6Tbss8V/nNYf/gtpo/G8oNswfqNvWY9KGwmnt8EbfC/PpG3c+0fVexHwV1X1932vw+BrQN/r8MokvT1u59Maxu8z3BfpzqUYMOw5+l/nzT6Xfd/P/u/GLrRuRYd2n6EX0xrXRyfZc4Z8Br2cdt7GXH9zdavr7Tmd6bPyWNqe0ctHzEuTY9swubbhJ4AndQXosbSjQJt9n7vzci6inX95Q/+D044kP492NPm2bv1W9d1/cNpIb0fP8Pw9+/f9//PAHTxwbuUy+tqmPDAKXu/1HWUbO7jdH8d2edC5tB1T7+tezz1pXeP2S/JE2uAWNwEfSxs57tlpvQD+s9p5voNt6BfmiH8P7fP3Z0lWJzkJeGlV9X5Q99b5YUkO6HvddoKR2/W52uhH0O3UqKrvdOs407b7f3XLOWhg/rLuudPdDr7O/a/LT3XF/mbf6c5c36+5fIXR2qbTRljWzgz/nPwB8JI8MCLk0bR2dbDgeixtvef1guqzqgmNBLE9/tE2cL9O+4F7M23P0EXA7wIP74tbQftRc1d3/3OAv6PtkdiVNrpJ0Tb4P0XbAP097cfQq2k/4N7axVwMHEA7gXUTrQvBk7t5f9nF/Ha33Fd2MV8Gntrl8kLaRn8Drc/179B+oB5D+5Jf1C3jbNrezyfS9iBtpF3x/Sjahv6TtI3K87vpv6OdLPsi2t6WbwO/POQ1ey/d6DMD80+mjUx2J+2HxZNmed1f1uX4HtoJtp8BXt33nry9u/+ybp0OA77evZ4v7eKW0UZVubS7/QhwZN9z7AJ8lVYUvWyux3TxvVH0LqBt2E7o3vN/Aw6bYV0e3b3mG2mHzV9O+zy9nrahDu1Civ/eva7/k26Um+7xr6AVFv8fsOcI8au65f+A1if52X337U3bs/MN2shBR9A2Zj+i7U3dtYs7tHtt1wDv7t6Hh3b3/Uz3Pt5O+6ztRTtBtoA/pHWtuIw24tbrgD8Cnj/Le/1s2hHB9M17SfdeXkX7rjyJdsRwE/Dfupj+z+WTaOc5Fe17eETfst7XvUf/RPteXtS9571RvC5gnkero/0Y+1KX3/8Ejh4S82bgU5Pe5vk38ntq2zCZtuE3advDb9CKkvd16/OSgbijZ8jhSNo28Fu0LkDV/b21u//p3fquniWHm2k/nD9M20Z+Eti7u+/JPLBNfS2t3XhH9xyXAPt1cTNuY7v7N9vuz/UYRtguz7Aur6R1efwebVv4flq71xvR82Da5/Hu7rNwct9jh7Whs8X3Lir6H7SjSO8Ddu67/3doI8utpRXMvXb+b4FndjHb1EbT2rwf0Aaz+HVacb58lvf6EjYfafEx3XtftO/uw2jtcdEKrf1obfQXunX8Ldp3/l+6z8TraUeuYO7v1/7M82h13Wt0Cq1r5p20bc6jB2JOphVDb6UdMRo2yvAHgLMmuU3uDYEoTa20ayacX1Ve82U7kOQC2mhdn57Qc6+oqhcs9HP35bAz7Ufs/1MPdBeSNGZJzqINNX5NN70jbafRu6tqpAuaJrm5W8Y75itPLQ5pox6eBzyr2kh1C/nc+9OOxB1W7UKri1LaRYsvo71GWzv4wzazW52kafM64FVd14KFtiNtj+skvYu25/rmCechTa20wRye1yuMoA3NXK271uS6A2nR6j4rH6IdxVpove6tgxdhXTS6LsX/nXbkdmKFEVgcafuwI2zWV1tTrNq1In4BeHU2P+F4XiQ5PEnvxOAVPPjk0gXTHSX9TFV9YVI5SNuJnWiDGvxakkd059kc0h1N+swWLGdHNj/fVVOsqi4AvpLk5+aKHYck70obaXEF8LfVzo1arN5A60438Z0LdqvTVEvyZFq/52fTTkI9v6qun2xWWijJ/dcfmc/nWE07efpTtNGq3jefzzdHLvO+vpKaJK+mnW/1WNq5Sp8DfrfaBaPneuyOtHMz/zvtPJ3frar/MY/pahFZoLZpB9p5TnvRPpsfWMw9ChZT+2VxJEmSJEnYrU6SJEmSgAePk74k7bnnnrX//vtPOg1J0hb66le/+t2qWjHpPEZhWyNJS9eo7c1UFEf7778/69atm3QakqQtlOSWSecwKtsaSVq6Rm1v7FYnSZIkSVgcSZIkSRJgcSRJkiRJgMWRJEmSJAEWR5KkKZJk7yTnJjk5ydokB88R/9NJrlmo/CRJi9tUjFYnSVKSAJ8F3lZVX0xyOfC5JE+oqk1D4h8KvBv4sQVOVZK0SHnkSJI0LY4BDgIuA6iqa4D7gNUzxL8ROH9BMpMkLQkeOZIkTYvDgZuq6t6+eTcARwF/3h+Y5OeALwHLFy49STN5+flXcen1Gyadhhaxm894wYI8j0eOJEnTYi9g48C8O4B9+mckeSywV1V9ea4FJjkpybok6zZs8IebNF8sjLRYeORIkjQtNtG60fXbAUhvIslDgJOAt4+ywKpaA6wBWLVqVY0nTUkzWaijA9JMPHIkSZoW64FdB+btBtzWN30QcCpwV5K7gS8Cj0lyd5IXLkyakqTFyuJIkjQtLgUel6S/bVtJN0ADQFV9rap2rqrlVbUceB5wSzd98cKmK0labCyOJEnT4grgFuAIgCQrgV2Ai5OckuToCeYmSVoCPOdIkjQVqqqSnACcnuRA4DDg+Kq6M8mRtB2Cl0w0SUnSomZxJEmaGlV1I3BiN3lO3/yh1zqqqsuA/ec9MUnSkmC3OkmSJEnC4kiSJEmSAIsjSZIkSQIsjiRJkiQJsDiSJEmSJMDiSJIkSZIAiyNJkiRJAiyOJEmSJAmwOJIkSZIkwOJIkiRJkgBYNq4FJdkbOA34Z+AZwFlV9fUhcau7+28H9gVOrap7B2L2Ar5WVY8aV36SJEmSNJuxHDlKEuCzwGeq6lzgDODiJMsG4g4FzgbeXlVnAncBpw/E7AC8A3jkOHKTJEmSpFGMq1vdMcBBwGUAVXUNcB+weiDuVODyqtrUTV8EvCbJ8r6Y1wB/Oqa8JEmSJGkk4yqODgduGugedwNw1JC46wZi9gAOAUjyTODbwK1jykuSJEmSRjKu4mgvYOPAvDuAfeaIu6O73SfJ7sCRVXXRmHKSJEmSpJGNqzjaROtGN7jszBHXe/4AbwLeO+oTJjkpybok6zZs2LCF6UqSJEnS5sZVHK0Hdh2Ytxtw2xxxu3W33wXeAtye5G7geoAkdyf59WFPWFVrqmpVVa1asWLFtuYvSZIkaTs3ruLoUuBx3UhzPSvpBmgYiHv8QMxG4MtVtVNVLa+q5cABAN30B8aUoyRJkiTNaFzF0RXALcARAElWArvQhvM+JcnRXdx5wLFJduymjwMurKp7xpSHJEmSJG2VsVwEtqoqyQnA6UkOBA4Djq+qO5McSSvCLqmqK5O8Ezg7ybeA3WnDe0uSJEnSRI2lOAKoqhuBE7vJc/rmrx6IWwusnWNZN/PgwRwkSZIkad6Mq1udJEmSJC1pFkeSJEmShMWRJEmSJAEWR5IkSZIEWBxJkiRJEmBxJEmSJEmAxZEkSZIkARZHkiRJkgRYHEmSJEkSYHEkSZIkSYDFkSRJkiQBFkeSJEmSBFgcSZIkSRJgcSRJkiRJgMWRJEmSJAEWR5IkSZIEWBxJkiRJEmBxJEmSJEmAxZEkSZIkARZHkiRJkgRYHEmSJEkSYHEkSZoiSfZOcm6Sk5OsTXLwDHFvTHJjktuTnLbQeUqSFqdlk05AkqRxSBLgs8DbquqLSS4HPpfkCVW1qS/uecA3q+onkzwd+N9JPlVVN0wodUnSIuGRI0nStDgGOAi4DKCqrgHuA1YPxF1fVX/exVwJfBeohUtTkrRYWRxJkqbF4cBNVXVv37wbgKP6g6rqlt7/SZ4JfKiqvrEwKUqSFjO71UmSpsVewMaBeXcA+wwGJtkFeHP3d3mSH6+q/5z/FDWTl59/FZdev2HSaUjaznnkSJI0LTbRutH12wHIYGBV3Qn8AfBfgScCvzlsgUlOSrIuyboNG/zhPp8sjHTkASsmnYLkkSNJ0tRYDzx7YN5uwK3Dgrvud5cm+R3gF2eIWQOsAVi1apXnJS2Am894waRTkLQd88iRJGlaXAo8Lkl/27aSboCGWXwXuG2+kpIkLR0WR5KkaXEFcAtwBECSlcAuwMVJTklydDf/GUkO7HvcC4APLHCukqRFyG51kqSpUFWV5ATg9K74OQw4vqruTHIkbYfgJbRi6JQkHweuBS6oqn+eWOKSpEXD4kiSNDWq6kbgxG7ynL75q/v+Pw04bYFTkyQtAWPrVpdk7yTnJjk5ydokB88QtzrJmUl+K8kHkuzUd9/rktya5PYkH0qy87jykyRJkqTZjKU4ShLgs8Bnqupc4AxaH+9lA3GHAmcDb6+qM4G7gNO7+54PPAo4FngL8DJmGFpVkiRJksZtXEeOjgEOohsRqKquoV1rYvVA3KnA5VW1qZu+CHhNkuXAY6vq9Kq6pqo+AnwSeNaY8pMkSZKkWY2rODocuKm7ZkTPDcBRQ+KuG4jZAzikqj44EPsdZrg2hSRJkiSN27iKo72AjQPz7gD2mSPuju52MA7gyXQX3hvGq5ZLkiRJGqdxFUebaN3oBpedOeJ6z79ZXJKnAFdX1bqZnrCq1lTVqqpatWLFiq3LWpIkSZI64yqO1gO7DszbjQdfcXwwbrfu9v64JA8Hfgl4+5hykyRJkqQ5jas4uhR4XJL+5a2kG6BhIO7xAzEbgasButHt3gD8blX9sJu3E5IkSZI0z8ZVHF0B3AIcAZBkJbALbTjvU5Ic3cWdBxybZMdu+jjgwqq6pxsO/A+ALwGPSbIyya/QrnAuSZIkSfNq2dwhc6uqSnICcHqSA2kFzfFVdWeSI2lF2CVVdWWSdwJnJ/kWsDtteG+A3wPe3P313AbsN44cJUmSJGk2YymOAKrqRuDEbvKcvvmrB+LWAmuHPP404LRx5SNJkiRJW2Jc3eokSZIkaUmzOJIkSZIkLI4kSZIkCbA4kiRJkiTA4kiSJEmSAIsjSZIkSQIsjiRJkiQJsDiSJEmSJMDiSJIkSZIAiyNJkiRJAiyOJEmSJAmwOJIkSZIkwOJIkiRJkgCLI0mSJEkCLI4kSZIkCbA4kiRJkiTA4kiSJEmSAIsjSZIkSQIsjiRJkiQJsDiSJEmSJMDiSJIkSZIAiyNJkiRJAiyOJEmSJAmwOJIkSZIkwOJIkiRJkgCLI0mSJEkCLI4kSZIkCbA4kiRJkiTA4kiSJEmSAIsjSZIkSQIsjiRJkiQJGGNxlGTvJOcmOTnJ2iQHzxC3OsmZSX4ryQeS7NR337OS/FGSNyT5aJJdx5WfJGn6jdIWpfm9JN9J8u9J3jWJXCVJi8+ycSwkSYDPAm+rqi8muRz4XJInVNWmvrhDgbOBA6pqU5KzgNOB05LsC3waOLCq7kjyWuAc4MXjyFGSNN1GbYuAVwLrgaOB44EzklxXVZ9Y+KwlSYvJuI4cHQMcBFwGUFXXAPcBqwfiTgUu72ukLgJek2Q58Brg2qq6o+++X07y6DHlKEmabqO2Rcuq6k+q6l+r6kzgb4FnLWSikqTFaVzF0eHATVV1b9+8G4CjhsRdNxCzB3DI4H1V9W3gHuDZY8pRkjTdRmqLquqDA4/7DnDrPOcmSVoCxtKtDtgL2Dgw7w5gnzniekeJ9unuu2KEZYzV/m/93HwuXpKm2s1nvGDSKfQbtS0adADwpnnJaBF7+flXcen1GyadhiQtKuM6crSJ1nVhcNmZI673/NmCZbQHJCclWZdk3YYNbtwlSVvWjgAk+a/Ah6vqWzPcP7VtzWIsjI48YMWkU5C0nRvXkaP1PLj72248uJvCemDXgRiA24bc17v/tmFPWFVrgDUAq1atqi1PuVlkez0lSVtv1LYIaCPbAYdU1Yyj1Y2rrVnMbAcl6QHjOnJ0KfC4JP3LW0l3UuxA3OMHYjYCVw/el2Q/YGfaibKSJM1l1LaIJA8HXgb8ft+8nQbjJEnbl3EVR1cAtwBHACRZCewCXJzklCRHd3HnAccm2bGbPg64sKruAS4EntZ3baPjgM93AzNIkjSXkdqirgg6A/gc8FNJDkzyOmC/iWQtSVo0xtKtrqoqyQnA6UkOBA4Djq+qO5McSSvCLqmqK5O8Ezg7ybeA3WnDe1NVtyR5KXBmkmuBp9L26kmSNKdR2yLgo8CLgNf2PfyKqjpnwZOWJC0q4zrniKq6ETixmzynb/7qgbi1wNoZlvF54PPjykmStH0ZpS2qqhfjBcYlSUOMq1udJEmSJC1pFkeSJEmShMWRJEmSJAEWR5IkSZIEWBxJkiRJEmBxJEmSJEmAxZEkSZIkARZHkiRJkgRYHEmSJEkSYHEkSZIkSYDFkSRJkiQBFkeSJEmSBFgcSZIkSRJgcSRJkiRJgMWRJEmSJAEWR5IkSZIEWBxJkiRJEmBxJEmSJEmAxZEkSZIkARZHkiRJkgRYHEmSJEkSYHEkSZIkSYDFkSRJkiQBFkeSJEmSBFgcSZIkSRJgcSRJkiRJgMWRJEmSJAEWR5IkSZIEWBxJkiRJEmBxJEmSJEmAxZEkSZIkARZHkiRJkgTAsnEtKMlq4BnA7cC+wKlVde+QuJ2A3wduBQ4ALquqT3f37Q58EHg+8F3grVX15+PKUZIkSZJmMpYjR0kOBc4G3l5VZwJ3AafPEH4GcG9VvR94A3BmkgO7+94BXAD8LPAV4MIkjxtHjpIkSZI0m3F1qzsVuLyqNnXTFwGvSbK8PyjJw4GTgc8DVNV9wN8Ar0vy48CVVfXXVfU14BVAAYeNKUdJkiRJmtG4iqPDgev6pm8A9gAOGYg7FFg+JPaoqvrPqvrT3syq+gGwkdb9TpIkSZLm1biKo71ohUzPHd3tPkPiGBI7GEeSfYD1wBVjylGSJEmSZjSu4mgTcN+Q5WZIHENiB+MAXgu8sqpq2BMmOSnJuiTrNmzYsBUpS5IkSdID5hytLsm+wNWzhHyWdoRn1755u3W3tw3Eru9udwW+1xe7WVySo4F/rKqvzvSkVbUGWAOwatWqoQWUJEmSJI1qzuKoqr4J7DlbTJI1wOP7Zq2kdZ0bLKrWAd/vYr/SF3tZ37IOBvapqo9108uAH850BEmSJEmSxmFc3erOA45NsmM3fRxwYVXdk+RhSdYk2aWq7gE+AbwQ7i98jgY+2k3vC7wKuDLJyiSHAL89phwlSZIkaUZjKY6q6krgncDZSd4M7A68pbt7D1qxtEc3/WZgRZI3Ae8BTq+qq7phvr8AnAJc2/19DVjuUSNJkiRJ823ObnWjqqq1wNoh82+hbzS6qrqLdq2jwbjvAweNKx9JkuaSZK+q+s6k85AkLQ7j6lYnSdLEJdk7yblJTk6ytjuPdVjcI5N8APiHBU5RkrSIje3IkSRJk5QktBFU31ZVX0xyOfC5JE+oqk0D4Q8FbgF2Wug8JUmLl0eOJEnT4hha9+zLAKrqGtp19VYPBnZdvr1IniRpMx45kiRNi8OBm6rq3r55NwBHAX8+mZTm38vPv4pLr7fOk6Rx8MiRJGla7EW7xl6/O+gbFGhLJTkpybok6zZsWJwFyLYURkcesGKMmUjS0ueRI0nStNhE60bXbwcgW7vAqloDrAFYtWrVor6sxM1nvGDSKUjSkueRI0nStFgP7DowbzfgtgnkIklagiyOJEnT4lLgcUn627aVdAM0SJI0F4sjSdK0uII2PPcRAElWArsAFyc5JcnRA/G2gZKkzdgwSJKmQlUVcAJwYpLXAW8Djq+qO4EjgUN6sUkOBV4EPCrJS5P8+CRyliQtLg7IIEmaGlV1I3BiN3lO3/zVA3FfBQaPJEmStnMeOZIkSZIkLI4kSZIkCbA4kiRJkiTA4kiSJEmSAIsjSZIkSQIsjiRJkiQJsDiSJEmSJMDiSJIkSZIAiyNJkiRJAiyOJEmSJAmwOJIkSZIkwOJIkiRJkgCLI0mSJEkCLI4kSZIkCbA4kiRJkiTA4kiSJEmSAIsjSZIkSQIsjiRJkiQJsDiSJEmSJMDiSJIkSZIAiyNJkiRJAmDZuBaUZDXwDOB2YF/g1Kq6d0jcTsDvA7cCBwCXVdWnh8S9AnhOVb1sXDlKkiRJ0kzGUhwlORQ4GzigqjYlOQs4HThtSPgZwN1V9f4kDwGuT/L1qrq2b3kHAr8B/NM48pMkSZKkuYyrW92pwOVVtambvgh4TZLl/UFJHg6cDHweoKruA/4GeF1fzHLgl7tlSJIkSdKCGFdxdDhwXd/0DcAewCEDcYcCy4fEHtU3/UbgfWPKS5IkSZJGMq7iaC9gY9/0Hd3tPkPiGBK7D9x/3tLfV9X35nrCJCclWZdk3YYNG7Yua0mSJEnqjKs42gTcN85sEIEAAAw8SURBVGS5GRLHkNgkeQywX1X93ShPWFVrqmpVVa1asWLF1uQsSZIkSfebc0CGJPsCV88S8llgPbBr37zdutvbBmLXd7e7At/ri70NOAE4qxvMoZdbkvwK8Kiq2ogkSZIkzZM5i6Oq+iaw52wxSdYAj++btZLWdW6wqFoHfL+L/Upf7GVV9X7g/X3LfAewv0N5S5IkSVoI4+pWdx5wbJIdu+njgAur6p4kD0uyJskuVXUP8AnghQBJlgFHAx8dUx6SJEmStFXGUhxV1ZXAO4Gzk7wZ2B14S3f3HrRiaY9u+s3AiiRvAt4DnF5VV40jD0mSJEnaWmO5CCxAVa0F1g6Zfwt9o9ZV1V20ax3Ntbx3jCs3SZIkSZrLuLrVSZIkSdKSZnEkSZIkSVgcSZIkSRJgcSRJkiRJgMWRJEmSJAEWR5IkSZIEWBxJkiRJEmBxJEmSJEmAxZEkSZIkARZHkiRJkgTAskknIEnSuCTZGzgN+GfgGcBZVfX1IXGru/tvB/YFTq2qexcyV0nS4uORI0nSVEgS4LPAZ6rqXOAM4OIkywbiDgXOBt5eVWcCdwGnL3S+kqTFx+JIkjQtjgEOAi4DqKprgPuA1QNxpwKXV9Wmbvoi4DVJli9QnpKkRcriSJI0LQ4HbhroHncDcNSQuOsGYvYADpnf9CRJi53nHEmSpsVewMaBeXcA+8wRd0d3uw9w1fykBvu/9XPztWhJ0ph45EiSNC020brR9dsByBxxvbZwMI4kJyVZl2Tdhg0bxpbouB15wIpJpyBJU8EjR5KkabEeePbAvN2AW4fE7ToQA3Db4AKrag2wBmDVqlW1LcndfMYLtuXhkqQF4JEjSdK0uBR4XJL+tm0l3QANA3GPH4jZCFw9r9lJkhY9iyNJ0rS4ArgFOAIgyUpgF9pw3qckObqLOw84NsmO3fRxwIVVdc8C5ytJWmTsVidJmgpVVUlOAE5PciBwGHB8Vd2Z5EjaDsFLqurKJO8Ezk7yLWB32vDekqTtnMWRJGlqVNWNwInd5Dl981cPxK0F1i5gapKkJcBudZIkSZKExZEkSZIkARZHkiRJkgRYHEmSJEkSAKnapmvaLQpJNtCGb91aewLfHVM6i5Hrt7S5fkvXNK8bjGf9HlNVK8aRzHwbQ1sDfiaWumlev2leN3D9lroFa2+mojjaVknWVdWqSecxX1y/pc31W7qmed1g+tdvPkz7a+b6LV3TvG7g+i11C7l+dquTJEmSJCyOJEmSJAmwOOpZM+kE5pnrt7S5fkvXNK8bTP/6zYdpf81cv6VrmtcNXL+lbsHWz3OOJEmSJAmPHEmSJEkSYHG03Uuy76Rz2BpJHpFkl0nnMUlJ9pl0DnNJsjzJrpPOY76Mc/0W23dxrnVL8tAkey5kTlq6Ftvne1S2Nc1ib29sa7ZoWYvuu7jY2pvtpjhKsneSc5OcnGRtkoNniFud5Mwkv5XkA0l2Wuhct0aSn03ytSTfT/LFJPvNEPeEJD9KUkkKeOkCp7rVkvx9X95fBu4aEnNSkt9J8o4k71r4LLdMkn2T/LC3Xn1/Bw6JPaY/BvjZCaQ8kiQ7JHkZcAPwtL75uyb54ySvTXJekhnXIcmzkvxRkjck+ehiavhmWb8nJvmHJP83yRVJnjjLMnbrvq+99/P0+c98bjOtW3ffJ/ryXc+Q72AXtyS3o+Myze2Nbc39MUuqrYHpbG9sa5ZuWwOLuL2pqqn/AwJ8FXheN30QcBOwbCDuUODG3nzgLOBdk85/hPV7JLAWOAQ4lnaRwr+ZIfYs4FnAqm59HzLp/Edcx0NpX+hV3d9eQ2JOAP6hb/pTwKsmnfsc6/XrwHOB/bu/A4B/nSH2g33r/2S6cwYX41/3mdwXKOCYvvl/CZzU/b8HbYO3x5DH79vdt1s3/VrgE5Ner9nWD9gZ+NPu/XkO8E/AN2ZZxqnAC/ve010mvV5zvHePBt7fl+9+Mzx+SW5Hx/j6TW17Y1tzf8ySa2u6PKeuvbGtWbptzRzv30Tbm4m/MAv04j8X+AGwU9+8G4BfGIi7EPho3/QzaVfjXT7pdZhj/f4bsGvf9MuBu4fE7UZrtH8RePik897Cdfw48Bbgp2aJ+d/A6X3Tvwp8fdK5z7Fejx6YPg74oyFxT+jW74XAzpPOewvWr3+D/oRuer+++78IvHnI494NfKlv+ieA+wZfr0n/Dazfc4Gf7LvvyO7+YT+udgS+ArwEWDHp9Zhr3brpdwF/CDx5jsctye3oGF+3qW1vbGvuj1lybU2X59S2N7Y1S7etGVy/bnqi7c320q3ucOCmqrq3b94NwFFD4q4biNmDtpds0aqq/1FVG/tmfQe4dUjoU2lf+o8D307y4oXIb1slWUZ7H04Frk/yZ4OHTbvpp/Hg9++nkzxywZLdQlW1fmDWauCzQ0JXAcuBzwDfTPLc+c5tHhwO/KCq+j+bw76Hvdj738uq+jZwD/Dsec1wG1TV/6qqG/tmfQe4E7h9SPhK2vqcC3wryW8uQIrbal/gl4Crk1ySZPcZ4pbkdnSMpra9sa1Zum0NbFftjW3NA5ZiWwMTbm+2l+JoL2DjwLw7gMETDAfj7uhuF/WJiEM8lXZIfDNV9aWq+hna+vwFcH6SJy90cluqqjZV1XG0PTovBV4A/P5A2COAh7CE378kO9A2yH87eF/3o+RQ4LHAOuAvkzx6gVPcVqN+D7c0drF6Km2P1r2Dd1TVv1bVs2jr+V7grCTHL3SCW6KqTqyqx9C+fwcDH54hdFq2o1tre2pvbGuaJffeTXl7Y1vTWYptDUy+vdleiqNNtL1Y/Xag9Q2fLa73+gzGLVppo+ocQuurOVRVfRd4Be1E019ZoNS2WVX9qKo+DrwRGNwTuam7Xcrv39OBq6tq00wBVfVN4Bdoe4pOWKjExmTU7+GWxi463Q+PFwL/72xxVfV/q+qttP7jS2LvelX9FS3Xn0vyY0NClvx2dBttF+2Nbc3Sfe8609ze2NYMWIptDUyuvdleiqP1wODoI7sBt80Rt1t3Oxi3mP0m8BuzbfCgbfxph9N3my1ukbqIB+f9H7QvyFJ+/2bq4rCZqrqL1n96qb13o34PtzR2MXo98I6BLkizGfaZXsz+htaN48eH3DcN29Ftsb20N7Y1D1hq7x1Md3tjWzOzpdbWwATam+2lOLoUeFxXYfesBC4bEvf4gZiNwNXzmt2YJDkJuLCq/r2bnms4wx2B6+c9sfF7UN7VzsS7jAe/f9dV1XcWLrVtchzw1yPGLsX37jLg4UlW9M0b9j2Ege9iN1zwzgzpArLYJPl54Mqquq6bHmVY0aX2fu5A2zZuGHLfkt6OjsHUtze2NUu+rYHpbm8uw7ZmJkvtvYQJtDfbS3F0BW3I0SMAkqwEdgEuTnJKkqO7uPOAY5Ps2E0fR2sA7lngfLdYN078D4Adk6zsxvT/1f71S/LqJD/T/f8w2lCsH5tUzqNK8rQkr+p7X36Drh94kncl6Z149xHa4eWe44CPLlymW6+7zsS/9+/96V+3JKf2rkWRZC/aEKyfm0iyIxr4cUhV3QZ8nu496k6wfBLtMD9JfjVJr+vNhcDT+q43cRzw+e5k2UVhcP26ec+nnUh6R/c9fDrwa919969fkl/qYnsngb8E+OMFS34Og+uWds2a30jy0G7Wq4D3V9UPu/unYjs6JlPd3tjWAEu4rYHpa29sa5ZuWwOLs71Zti0PXiqqqpKcAJzefeEPA46vqjuTHEkrEi+pqiuTvBM4O8m3gN1po9YsakmOpW2sdxy46wDamO87AJcAzwDem+SjtAr8ZVU1bHSTxebRtGEdX5LkC8BVVXVRd99/oY3x/89V9akkj0nyblrj/U3gPRPJeMudwIO7OPwX4J+SfB14Pu3z+0HaXpFfHHby5WKRNmrTq7rJFyW5raqupZ3k/IfdD6YnAi/uG1Ho6bThPD9ZVbckeSlwZpJraSecvmxBV2IWw9aPtrfxL2g/hN/bF/787vb+9aOdYPrGJH8B/Bvwtqr6PwuR+1xmWLeHA28CXpHkU8C3q+qsvoct+e3ouExze2NbMxVtDUxRe2Nbs3TbGli87U3aEWJJkiRJ2r5tL93qJEmSJGlWFkeSJEmShMWRJEmSJAEWR5IkSZIEWBxJkiRJEmBxJEmSJEmAxZEkSZIkARZHkiRJkgRYHEmSJEkSAP8/39Nmbw2jbc0AAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2,2, figsize=(12,8), sharex=True)\n", "\n", "axes[0,0].plot(times, result1.expect[0], label=r'Stochastic ME (ntraj = 1)', lw=2)\n", "axes[0,0].plot(times, result_ref.expect[0], label=r'Lindblad ME', lw=2)\n", "axes[0,0].set_title(\"Cavity photon number (ntraj = 1)\")\n", "axes[0,0].legend()\n", "\n", "axes[0,1].plot(times, result2.expect[0], label=r'Stochatic ME (ntraj = 10)', lw=2)\n", "axes[0,1].plot(times, result_ref.expect[0], label=r'Lindblad ME', lw=2)\n", "axes[0,1].set_title(\"Cavity photon number (ntraj = 10)\")\n", "axes[0,1].legend()\n", "\n", "axes[1,0].step(times, dt * np.cumsum(result1.measurement[0].real), lw=2)\n", "axes[1,0].set_title(\"Cummulative photon detections (ntraj = 1)\")\n", "axes[1,1].step(times, dt * np.cumsum(np.array(result2.measurement).sum(axis=0).real) / 10, lw=2)\n", "axes[1,1].set_title(\"Cummulative avg. photon detections (ntraj = 10)\")\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Efficient homodyne detection" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The stochastic master equation for inefficient homodyne detection, when unravaling the detection part of the master equation\n", "\n", "$\\dot\\rho = -i[H, \\rho] + \\mathcal{D}[\\sqrt{1-\\eta} \\sqrt{\\kappa} a] + \\mathcal{D}[\\sqrt{\\eta} \\sqrt{\\kappa}a]$,\n", "\n", "is given in W&M as\n", "\n", "$d\\rho = -i[H, \\rho]dt + \\mathcal{D}[\\sqrt{1-\\eta} \\sqrt{\\kappa} a] \\rho dt \n", "+\n", "\\mathcal{D}[\\sqrt{\\eta} \\sqrt{\\kappa}a] \\rho dt\n", "+\n", "\\mathcal{H}[\\sqrt{\\eta} \\sqrt{\\kappa}a] \\rho d\\xi$\n", "\n", "where $d\\xi$ is the Wiener increment. This can be described as a standard homodyne detection with efficiency $\\eta$ together with a stochastic dissipation process with collapse operator $\\sqrt{(1-\\eta)\\kappa} a$. Alternatively we can combine the two deterministic terms on standard Lindblad for and obtain the stochastic equation (which is the form given in W&M)\n", "\n", "$d\\rho = -i[H, \\rho]dt + \\mathcal{D}[\\sqrt{\\kappa} a]\\rho dt + \\sqrt{\\eta}\\mathcal{H}[\\sqrt{\\kappa}a] \\rho d\\xi$\n", "\n", "Below we solve these two equivalent equations with QuTiP" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "rho0 = coherent(N, np.sqrt(5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Form 1: Standard homodyne with deterministic dissipation on Lindblad form" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "eta = 0.95\n", "c_ops = [np.sqrt(1-eta) * np.sqrt(gamma) * a] # collapse operator B\n", "sc_ops = [np.sqrt(eta) * np.sqrt(gamma) * a] # stochastic collapse operator A" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "result_ref = mesolve(H, rho0, times, c_ops+sc_ops, e_ops)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.7%. Run time: 27.01s. Est. time left: 00:00:03:46\n", "20.0%. Run time: 50.10s. Est. time left: 00:00:03:20\n", "30.7%. Run time: 68.35s. Est. time left: 00:00:02:34\n", "40.0%. Run time: 86.92s. Est. time left: 00:00:02:10\n", "50.7%. Run time: 109.52s. Est. time left: 00:00:01:46\n", "60.0%. Run time: 128.93s. Est. time left: 00:00:01:25\n", "70.7%. Run time: 149.73s. Est. time left: 00:00:01:02\n", "80.0%. Run time: 173.65s. Est. time left: 00:00:00:43\n", "90.7%. Run time: 199.11s. Est. time left: 00:00:00:20\n", "100.0%. Run time: 227.05s. Est. time left: 00:00:00:00\n", "Total run time: 227.09s\n" ] } ], "source": [ "result = smesolve(H, rho0, times, c_ops, sc_ops, e_ops, ntraj=75, nsubsteps=100, solver=\"platen\",\n", " method='homodyne', store_measurement=True, map_func=parallel_map, noise=111)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values([result, result_ref]);" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,4))\n", "\n", "M = np.sqrt(eta * gamma)\n", "\n", "for m in result.measurement:\n", " ax.plot(times, m[:, 0].real / M, 'b', alpha=0.025)\n", "\n", "ax.plot(times, result_ref.expect[1], 'k', lw=2);\n", "\n", "ax.set_ylim(-25, 25)\n", "ax.set_xlim(0, times.max())\n", "ax.set_xlabel('time', fontsize=12)\n", "ax.plot(times, np.array(result.measurement).mean(axis=0)[:,0].real / M, 'b', lw=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Form 2: Combined homodyne with deterministic dissipation for missed detection events" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\displaystyle D_{1}[A]\\rho(t) = \\mathcal{D}[\\kappa a]\\rho(t) = \\mathcal{D}[A]\\rho(t)$" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "L = liouvillian(H, np.sqrt(gamma) * a)\n", "def d1_rho_func(t, rho_vec):\n", " return L * rho_vec" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\displaystyle D_{2}[A]\\rho(t) = \\sqrt{\\eta} \\mathcal{H}[\\sqrt{\\kappa} a]\\rho(t) = \\sqrt{\\eta} \\mathcal{H}[A]\\rho(t) \n", "= \\sqrt{\\eta}(A\\rho + \\rho A^\\dagger - \\mathrm{Tr}[A\\rho + \\rho A^\\dagger] \\rho)\n", "\\rightarrow \\sqrt{\\eta} \\left((A_L + A_R^\\dagger)\\rho_v - \\mathrm{Tr}[(A_L + A_R^\\dagger)\\rho_v] \\rho_v\\right)$" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "n_sum = spre(np.sqrt(gamma) * a) + spost(np.sqrt(gamma) * a.dag())\n", "def d2_rho_func(t, rho_vec):\n", " e1 = expect_rho_vec(n_sum.data, rho_vec, False)\n", " return np.vstack([np.sqrt(eta) * (n_sum * rho_vec - e1 * rho_vec)])" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "result_ref = mesolve(H, rho0, times, c_ops+sc_ops, e_ops)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.7%. Run time: 121.70s. Est. time left: 00:00:16:59\n", "20.0%. Run time: 178.67s. Est. time left: 00:00:11:54\n", "30.7%. Run time: 238.98s. Est. time left: 00:00:09:00\n", "40.0%. Run time: 300.75s. Est. time left: 00:00:07:31\n", "50.7%. Run time: 384.11s. Est. time left: 00:00:06:14\n", "60.0%. Run time: 447.18s. Est. time left: 00:00:04:58\n", "70.7%. Run time: 524.70s. Est. time left: 00:00:03:37\n", "80.0%. Run time: 587.57s. Est. time left: 00:00:02:26\n", "90.7%. Run time: 668.02s. Est. time left: 00:00:01:08\n", "100.0%. Run time: 738.23s. Est. time left: 00:00:00:00\n", "Total run time: 738.28s\n" ] } ], "source": [ "result = general_stochastic(ket2dm(rho0), times, e_ops=[spre(op) for op in e_ops], \n", " ntraj=75, nsubsteps=100, solver=\"platen\",\n", " d1=d1_rho_func, d2=d2_rho_func, len_d2=1,\n", " m_ops=[spre(a + a.dag())], dW_factors=[1/np.sqrt(gamma * eta)],\n", " store_measurement=True, map_func=parallel_map, noise=111)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " array([[],\n", " []],\n", " dtype=object))" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values([result, result_ref])" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,4))\n", "\n", "for m in result.measurement:\n", " ax.plot(times, m[:, 0].real, 'b', alpha=0.025)\n", "\n", "ax.plot(times, result_ref.expect[1], 'k', lw=2);\n", "\n", "ax.set_ylim(-25, 25)\n", "ax.set_xlim(0, times.max())\n", "ax.set_xlabel('time', fontsize=12)\n", "ax.plot(times, np.array(result.measurement).mean(axis=0)[:,0].real, 'b', lw=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Versions" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
SoftwareVersion
QuTiP4.4.0.dev0+ea5344d9
Numpy1.16.0
SciPy1.2.0
matplotlib3.0.2
Cython0.29.3
Number of CPUs1
BLAS InfoOPENBLAS
IPython7.2.0
Python3.6.7 (default, Oct 22 2018, 11:32:17) \n", "[GCC 8.2.0]
OSposix [linux]
Wed Jan 30 12:04:42 2019 JST
" ], "text/plain": [ "" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qutip.ipynbtools import version_table\n", "\n", "version_table()" ] } ], "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 1 }