{ "cells": [ { "cell_type": "markdown", "id": "bb162714", "metadata": {}, "source": [ "# Physical benchmarks: Doppler temperature\n", "\n", "In this notebook we benchmark ``atomsmltr`` simulations on simple physical examples. We focus on the effect of fluctuations in the temperature of a collection of atoms in a three-dimensionnal optical molasses, and check that we do reach the so-called Doppler temperature." ] }, { "cell_type": "markdown", "id": "0b8b3519", "metadata": {}, "source": [ "## Formulaes and orders of magnitude\n", "\n", "We consider an atom of mass $m$ illuminated by six pairs of counter-propagating laser beams aligned with the axes of a Cartesian frame. For the sake of simplicity, we will treat the laser beams as plane waves, and focus on the evolution of the atom's speed. We will not consider any magnetic field, and model our atom as a two-level system. In this setting, there laser polarization has no effect.\n", "\n", "The lasers have a wavenumber $k$ and are detuned by $\\delta$ with respect the atom's optical transition, which has a natural linewidth $\\Gamma$. We denote $s_0 = I_0 / I_\\mathrm{sat}$ the saturation parameter for one laser beam, where $I_0$ is the intensity of the laser and $I_\\mathrm{sat}$ the saturation intensity associated to the atom's transition.\n", "\n", "For a red-detuned laser beam ($\\delta < 0$), the atom will undergo Doppler cooling until it reaches a minimum temperature, known as the Doppler temperature $T_D$, given by:\n", "\n", "$$\n", "T_D(\\delta) = \\frac{\\hbar}{2k_B} \\frac{\\delta^2 + \\Gamma^2/4}{|\\delta|}\n", "$$\n", "\n", "Which reaches a minimum of $T = \\hbar\\Gamma / 2k_B$ for $\\delta = - \\Gamma/2$." ] }, { "cell_type": "code", "execution_count": 1, "id": "05955e81", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ">>> Ytterbium (main)\n", "+ transition Γ : 2π x 28.900 MHz\n", "+ transition λ : 398.91 nm\n", "+ transition k : 0.016 nm^-1\n", "+ Doppler limit : 693.49 µK\n", "\n", ">>> Ytterbium (intercombination)\n", "+ transition Γ : 2π x 0.182 MHz\n", "+ transition λ : 555.80 nm\n", "+ transition k : 0.011 nm^-1\n", "+ Doppler limit : 4.37 µK\n", "\n", ">>> Strontium (main)\n", "+ transition Γ : 2π x 32.000 MHz\n", "+ transition λ : 460.86 nm\n", "+ transition k : 0.014 nm^-1\n", "+ Doppler limit : 767.88 µK\n", "\n", ">>> Strontium (intercombination)\n", "+ transition Γ : 2π x 0.007 MHz\n", "+ transition λ : 689.45 nm\n", "+ transition k : 0.009 nm^-1\n", "+ Doppler limit : 0.18 µK\n", "\n" ] } ], "source": [ "# imports\n", "from atomsmltr.atoms import Ytterbium, Strontium\n", "import scipy.constants as csts\n", "\n", "# display examples\n", "\n", "for atom in [Ytterbium(), Strontium()]:\n", " for tr in [\"main\", \"intercombination\"]:\n", " transition = atom.trans[tr]\n", " print(f\">>> {atom.name} ({tr})\")\n", " print(f\"+ transition Γ : 2π x {transition.Gamma / 2 / csts.pi * 1e-6:.3f} MHz\")\n", " print(f\"+ transition λ : {transition.wavelength * 1e9:.2f} nm\")\n", " print(f\"+ transition k : {transition.k * 1e-9:.3f} nm^-1\")\n", " print(f\"+ Doppler limit : {transition.Doppler_temperature * 1e6:.2f} µK\")\n", " print(\"\")" ] }, { "cell_type": "markdown", "id": "330e2470", "metadata": {}, "source": [ "## Test: laser cooling of ytterbium\n", "\n", "We will benchmark Doppler cooling with ytterbium. In this example, we use a set of six laser beams to cool an ytterbium atom. For the sake of simplicity, we will model the laser beams as plane waves with infinite spatial extent, so that we do not have to take care of polarization issues or spatial diffusion." ] }, { "cell_type": "markdown", "id": "f7907123", "metadata": {}, "source": [ "### Setup configuration with ``atomsmltr``\n", "\n", "Let's define a configuration with a set of six laser beams." ] }, { "cell_type": "code", "execution_count": 2, "id": "28b2cfd3", "metadata": {}, "outputs": [], "source": [ "# - IMPORTS\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import constants as csts\n", "from atomsmltr.simulation import Configuration\n", "from atomsmltr.atoms.collection import Ytterbium\n", "from atomsmltr.environment import PlaneWaveLaserBeam\n", "\n", "# - GENERAL CONFIGURATION\n", "# set laser saturation parameter\n", "s0 = 0.05 # I/I_sat\n", "main = Ytterbium().trans[\"main\"] # 399nm transition of Yb\n", "\n", "# create laser list\n", "lasers = {}\n", "for axis, direction in zip([\"x\", \"y\", \"z\"], [(1, 0, 0), (0, 1, 0), (0, 0, 1)]):\n", " for head, mult in zip([\">\", \"<\"], [1, -1]):\n", " dir = np.array(direction) * mult\n", " tag = axis + head\n", " laser = PlaneWaveLaserBeam(wavelength=main.wavelength)\n", " laser.direction = dir\n", " laser.tag = tag\n", " laser.set_power_from_I(s0 * main.Isat)\n", " lasers[tag] = laser\n", "\n", "# generate config\n", "config = Configuration(atom=Ytterbium())\n", "config += [*lasers.values()]" ] }, { "cell_type": "markdown", "id": "4688af64", "metadata": {}, "source": [ "### Checkout Doppler temperature at optimal detuning\n", "\n", "We start with a detuning of $\\delta = -\\Gamma/2$ to check optimal cooling." ] }, { "cell_type": "code", "execution_count": 3, "id": "62bd308c", "metadata": {}, "outputs": [], "source": [ "# - PREPARE SIMULATION\n", "# update config parameters\n", "delta = -0.5 * main.Gamma\n", "config.reset_atomlight_coupling()\n", "for laser in config.list_lasers():\n", " config.add_atomlight_coupling(laser=laser, transition=\"main\", detuning=delta)\n", "\n", "# initial conditions and time\n", "u0 = np.zeros(shape=(2_000, 6)) # a set of 2e3 atoms at zero speed and position\n", "t = np.linspace(0, 0.5e-3, 500) # integrate over 0.5ms" ] }, { "cell_type": "code", "execution_count": 4, "id": "e07b4955", "metadata": {}, "outputs": [], "source": [ "# - SIMULATE\n", "from atomsmltr.simulation import RK4St\n", "\n", "sim = RK4St(config)\n", "res = sim.integrate(u0, t)" ] }, { "cell_type": "code", "execution_count": 5, "id": "589ecb05", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAxYAAAHqCAYAAACZcdjsAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAhdJJREFUeJzs3Xd4FPXaxvHvbrLppJOEQBJC7xB6pEjvCoodATkc9fWABax4LIAKyrFgwY4I9l5RICCgQOggvZdQUiAhnWQ3u/v+kcMeI6BZSLIp9+e6uC53ZnbmmeUJ7p2Z3/wMdrvdjoiIiIiIyGUwuroAERERERGp+hQsRERERETksilYiIiIiIjIZVOwEBERERGRy6ZgISIiIiIil03BQkRERERELpuChYiIiIiIXDYFCxERERERuWzuri6gMrDZbJw8eZJatWphMBhcXY6IiIiISLmx2+3k5OQQGRmJ0Vh21xkULICTJ08SFRXl6jJERERERCrMsWPHqFevXpntT8ECqFWrFgCHDx8mODjYxdVIZWexWFiyZAkDBgzAZDK5uhypAtQz4iz1jDhD/SLOysjIIDY21vEduKwoWIDj9qdatWrh7+/v4mqksrNYLPj4+ODv769/wKVU1DPiLPWMOEP9Is6yWCwAZT4EQIO3RURERETksilYiIiIiIjIZVOwEBERERGRy6ZgISIiIiIil03BQkRERERELpuChYiIiIiIXDYFCxERERERuWwKFiIiIiIictlcGizq16+PwWA478+ECRMAKCgoYMKECYSEhODn58fIkSNJTU0tsY+kpCSGDh2Kj48PYWFhPPjggxQVFbnidEREREREaiyXBosNGzaQnJzs+JOQkADA9ddfD8CkSZP44Ycf+OKLL1i5ciUnT57k2muvdbzfarUydOhQzGYza9asYf78+bz//vs88cQTLjkfEREREZGayqXBonbt2kRERDj+/PjjjzRs2JArr7ySrKws5s6dy4svvkifPn3o0KED8+bNY82aNaxduxaAJUuWsGvXLj788EPatWvH4MGDeeqpp5gzZw5ms9mVpyYiIiIiUqNUmjEWZrOZDz/8kH/84x8YDAY2bdqExWKhX79+jm2aNWtGdHQ0iYmJACQmJtK6dWvCw8Md2wwcOJDs7Gx27txZ4ecgIiIiIlJTubu6gHO+/fZbMjMzue222wBISUnBw8ODwMDAEtuFh4eTkpLi2OaPoeLc+nPrLqawsJDCwkLH6+zsbAAsFgsWi+VyT0WquXM9ol6R0lLPiLPUM+IM9Ys4q7x6pdIEi7lz5zJ48GAiIyPL/VgzZ85k2rRp5y1fvnw5Pj4+5X58qR7OjQkSKS31jDhLPSPOUL9IaeXn55fLfitFsDh69ChLly7l66+/diyLiIjAbDaTmZlZ4qpFamoqERERjm3Wr19fYl/nnhp1bpsLmTJlCpMnT3a8zs7OJioqit7duhISElQWpyTVmMVSxC+//EKfPn0wmSrFj5BUcuoZcZZ6RpyhfhFnpaefKZf9VorumzdvHmFhYQwdOtSxrEOHDphMJpYtW8bIkSMB2Lt3L0lJScTHxwMQHx/PM888Q1paGmFhYUBxWvf396dFixYXPZ6npyeenp7nLfd5oy0mT0NZnppUQyZgGMA2FxciVYZ6RpylnhFnqF/EWT6F9nLZr8uDhc1mY968eYwdOxZ39/+VExAQwPjx45k8eTLBwcH4+/tz9913Ex8fT9euXQEYMGAALVq0YPTo0cyaNYuUlBQee+wxJkyYcMHgICIiIiIi5cPlwWLp0qUkJSXxj3/847x1L730EkajkZEjR1JYWMjAgQN5/fXXHevd3Nz48ccfueuuu4iPj8fX15exY8cyffr0S6rFcs8OCAm55HORmsFisbB48RIGDhyAyWRydTlSBahnxFnqGXHGpfTLtuNZ1AvyJtjXo5yrk8rIkp4Oz8aU+X5dHiwGDBiA3X7hyzFeXl7MmTOHOXPmXPT9MTEx/PTTT2VTjIdv8R+Rv2KwYHXzLO4V/Q9fSkM9I85Sz8h/7U7O5uvNxymy2WkZGcC1cXUxGv902/Z/+8Xq7sPeU2fxMrkR7OvB0t2pdIkNJibkf99tCixWnvxuJ59tPEa4vydzx3bi+Jl8vD3caVsvgEAfD+x2OwbD/45ht9spstnZdPQMT3y3g5OZBUQF+/Cf69rQqm5ARX0U1Za5yMazP+/B19ONf/ZogMnNwJebjpORZ2ZYm0gahfmV/UE9Csp+n1SCYCEiIiJSEx1NzyPEzxM/z/O/jtntdqb9sIv31xwpsfy7rSeYMrg5IX4efL7hGJ9tPEZYLU+Kco08vmU52QVFABgMYLdD3UBvlk6+Eg93I3OWH2De6sOcyS9+1GhqdiHDXl3l2Le/lzv/Htqc/yzei8nNSIeYIGx2O+sPn+F0bmGJOnYnZzN67jo+GN/lguFiT0o2h07l4W1yo3vjUExulzd12qFTufy4LZnYUF+ualv+TxAtLzkFFk7lFNKg9v/Cwju/HeK91YcBeHPlQYwGA4VFNgBmL93Po0OacUfPhi6p11kKFiIiIiKlcNZs5ZVf9vPz9mRu7hxN5lkLW5MyaRnpzw2domgSXqvU+/p683Hu/+J3Qnw9eXBgE8JqedG1QQjeHm5A8ZfN99ccwWCAwa0iiPD35uP1R/lt/2l+2/9biX0dP3OW4jmPi6jl6U6h1Ya5yIbJzcCJzLPM+Gk3GXlmFm5PBorDxkODmjJ76X4On86jQW1fCsxWTmYV8PBX2x37/XFbconjGAxwQ4co/tE9loe+2sbvxzK5+rVV3NIlmkcGN8fP052ssxam/bCTrzefcLyvdi1PHh3SDKPBwA+/J3Nz5yj6NAsrcVXkQnIKLCzclsyXm46z8ej/nmK082Q2Dw1sev6Vm0rAbrdz76dbWb4nje6NQ+nfIpxaXib2JGeTkW/mq03HyS4oomeT2lzZpDYebgZeWbYfgAh/L1KyCwA70cE+NKjty4q9p5jx0x5CfD255kJXqyoZg/1i9yHVINnZ2QQEBHD69GlCNMZC/obFYuGnn35iyJAhuvdZSkU9I85Sz1Q+OQUWRr6xhn2puRdc7240MKBlODYbeJqM2Ozg5W5kdHwMbeoFlth2xd40bl+wEYu15FewAS3CeWt0B37Zk8Y/F2zEboepV7Xgtm6xAOxPzWH20v0s2ZWC1WaneR1//tEtltwCM5t+38GYwVfQLjoYi9VORr6Z7cez+L8PNzn2b3Iz8MyI1ozsUA83o4G8wiLScgqpH+JDTmERN721ll3J2VzRMITbezTg4Knic20R6U+zCH/c3Qz4exX3Y2a+mUe+2s6incUTEseE+DBlcHNmL93HnpQcDAaIiwokKePseVc7AIa1qcNLN7bD3Wjg5x0p5JutDGtTBy+TG0VWG/MTj/LCkr3km60AGA3QLiqQzUmZAEzo3ZAHBzZz8m+x/K3Ym8Zt8zY4/b4rGobwwfgunMw8S5HNTlSQN+5uRqZ+v9Nx1apuoDdXNAyhU/1gujcOJTLQ+5LrTE9PJzQ0lKysLPz9/S95P3+mYIGChThH/8MXZ6lnxFnqGdfLyDPz3M97OJ1bSFSwD0fS81ix9xShfp7c0jmK+YlHCfXzYHTXGFYdOM3S3WkX3deglhEMbh3B7uQcDqTlOLYd3CqChrX9+O3AaXadzMJitXNHzwZ8tPYoeWYrt3SJ5pkRrc77zX6+uQgDBsfVjYv1i91u59FvtrNi7ynqh/hyd99GXNEw9KJ15hYWsf5wOt0aheLp7laqz2nNwdM88PnvnMz63z37YbU8eePW9nSICcZitTFn+QFeXrYfAzCgRQTL9qRisdrp2aQ2VpuN1QfSAajl5Y4BHLdzATSs7cv1HaO4Nq4uYf5efLwuiUe/Kb6q8tKNbbkmrl6p6ixPNpud2cv289Wm45itNk7lFHJtXF3qBXmzdHcaFquN1vUC8Pcy0bF+EC0jA/hswzGOZeRTWGQj1M+Du/s2pu4FgkKR1cZzi/bw6fpj5BT+73PxcDcyf1xn4hs6973VbrdzIC2X1FPp9Ggdq2BRHhQsxBn6H744Sz0jzlLPuNaR03nc8cHG865OmNwMfH5nPHHRQRRZbbgZDY4v/b/tP8XOk9n4erhRWGTDYDCw40QW3249wYW+aY3qEs3jw1rgZSr+Av/y0v28tHSfY33XBsF8ML5LqcYmuLpfsvItvLR0Hx+tO0qQjwcf3971vAHHO09m4W400jSiFkt3pfJ/H26iyFb8wXi4Gwn28fjvbUDF/L3ceXhwM27pHH1esHpu0R7eWHEQL5OR7yd2/8tb0Ox2O59uOEaRzc7NnaL4/XgWJjcDLSMDcHPytqL9qTnsSs5mYMsIx9/bWbOVR77exndbT5ao/deHehPoU3ZP3DprtpJ46DQbj5xh+d5T7E7OJsDbxLPXtubKprXx8bj46Aa73U5hkY1f953ind8OseHIGWyF+RybfUOZBwuNsRAREZEazW63czQ9n9UHT7NoRwqrDpzGbodwf08m9G7EvtQctiRlMr57LHHRQQC4/+kLf4/GtenRuPZ5+76rV0NeWbafo+n5tK4XQGyIL51jg2kbFVhiu3/1bsiu5CyOnzlL98ah/KtXo8se8FxRAnxMTL26Jff0bYyHu/GCg9FbRv5vgHe/FuF8fHtXFu1IoZaXO1e1jSQ62Ic9Kdn4eLgR5ONBoI/HRb/4PzigKTtOZPHb/tOMencdresGcHXbSK5qG3nee9757RAzftoDwEsJ+8jIMwMQ6ufBnT0bsu1EFpn5ZuIbhjC6awye7m6kZhdQN9CbLcfO8EHiUVbuO0UtLxNJGflA8S1JU69uSWyoL3d/soXdydm4Gw1MHtCEnIIiejQOLdNQAeDt4UafZuH0aRbOPX0bc/M7a9mSlMldH23G38udf/ZowP9d2RAP95I9896qw8xavIcCi82xzMPNiH8tD46VaYXFdMUCXbEQ57j6N0NS9ahnxFnqmbJjt9s5fuYsEQFeji/qBRYrn6xPYsORDKKCfFi+N+28qxM9m9Tm6eGtiA7xcUXZTqmJ/XI6t5Bhr6wqcZWjdd0A5o7tiJ+XO1O+3s6SnamctRSP0fBwM2K22vA2ueFuNJS4reicpuG1yLcUcSzjLH6e7uT+aRuDAQK9TY6narkbDRTZ7IT6efDKzXF/eZtZWTuTZ+a15QdYvDPlv4P34YaO9bh/QFMW70zh92NZ+Hq6sSDxqOM9Ef5eXN0ukn90i8VUlFcuYyx0xUJERESqpZ+3J/OfJXs5dCqPlpH+/Oe6tqw/nM7rKw6SllNyQLGHm5E29QLo0zyMoa3rlJj7QSqfUD9PlkzuydqD6exOzuG91YfZfiKLq19bjbeHG4dP5wHFYeCOHg24pUs0v+xJY2ibOgT5eLAg8SjzVh+mc/1g2tQLYM6Kg+xNzXHsP7ewCE93I8PbRXJdhyiKrDbqBflQu5YnLy/bz9u/HqTIZufKJrV5bmQbIgK8KvT8g3w9eHxYCx4d0pyvNx/n4a+28fnG43y1+QRWW8lrBrddUZ/7+jUmwNvkuK0sPT2vXOpSsBAREZFqochq45c9aSQeSsfdaODdVYcd4xt2nsxmyCv/e0xr3UBvru9Yj5SsAhqF+XFDpyjHE4+kavD3MjGgZQQDWkYwIi6S0XPXO25XCvIx8crNcbSKDCDov7OLj/vv07UAxnePZXz3/73u2zycKV9vp16QNw8MbMrxM2epH+JzwVuaHhncjOHtIknJLqBXk9p/+9jc8uRmNHB9xyhO5RYya9FerDY77aMD6dYolEOn8wiv5cWjQ5qdd+teeVGwEBERkSrNZiseoDtn+QFOZJ4tse7mztGM7hrDvZ9u4cCpXJpH+HNLl2hu6Bh13v3oUnXFhPjy4z3d+XXfKYqsdq5oFEJYrdJfRYgK9uHDf3ZxvA718/zL7ZvX8ad5nbK7hehy3XVlQxqE+hLm70X7/44DcgUFCxEREan07HY7W49l4uPhTmyoryMU2O12/v3tDj5ZnwRAsK8Hg1pFkJZdSMtIf+7r1xiDwcBP9/bAXGTD9wIDi6V68PcyMaxN1Z2V+3IYDAYGtarj6jIULERERKTym7vqME8v3A1AvSBvXrqxHe/8eoi9qTkcTc/HaCi+RWVMfH3Ho0D/yORmrDJPWRKpqhQsREREKjmrzU7iwXSahPsR5l+xg0Qrg2MZ+bywpHiOBy+TkeNnznL9m4mO9QYDPHNNa27uHO2qEkUEBQsREZFKJSPPzMdrj/DpNjee2bESX093imw2jmWcJdSvePKxv5oQrCo7fiafDxKPcibfjK+nO9HBPtjs8NHao5y1WOnaIJiXb4rjhrcSOZqeT4Pavjx5VUsahPoSFVz5HwsrUt0pWIiIiFQCZ/LMzFq8h683n6CwyAYYgEL4w2NRT+eauenttXw3oVu1+CJdYLGyNyWH1nUDWLwzhYe/2kZ2wfnzC0DxU35mXNOacH8vvrgznqW70xjaug4BPnqSk0hloWAhIiLiYpuTznD3x1scTzRqUacWbX0yuXFAN3LNdjLPmmkfHcTtCzay82Q2Ez/Zwhd3xmO22tibkk376CCXPvLyz6w2O2k5Baw/nEHTiFo0izj/6TlZ+RZueXctO09mUy/I2zHJV9uoQAa0CCcz38yJzLNYrHbaRQVya5cYR4gI8/fili667UmkslGwEBERqUCFRVZMRiNWu509yTks25PKa78coMhmp36ID8+ObEP7erX4+eefaRnpX2Im5Tdv7cDQV37j92OZ3PR2IslZBSRnFXB3n0bcP6DpZdVlt9v5cVsy+9Ny6RIbzIYjGQR6m+jbPJyvNh/Hz9Od+iG+rD+SQaHFys6T2RzNyOfmztF0rh/M+iMZbD56hj0pOZzO/d9Vllqe7iya1JPEg+nUC/Kmc/1gzuSb+cf7G9h5MhuA42fOYjAUPzJzUv8mGmQtUkUpWIiIiFSQ5XvSuPPDTbgZDNixU2CxOdYNbV2HZ0e2ppaXCYvFcsH3RwX78NKN7bjro81sTsp0LH99xUEGtoygVd2AC75v45EM3vntEEdO5+Pt4Ua7qEAeGNgUXw83jp85y/YTWSzclszC7cnnvXfqD7v+8pxeWbb/gssNBvDzdCenoIhBL/1KTmHxLU6hfp64GSE1u5AgHxOvj+rA1mOZtI8OpEuDkL88lohUbgoWIiIiFeBAWi53f7IFc9H/woS/lzvtooMY1qYO13eoV6rbmfo2D+fXB3szP/EIJjcje1OyWbwzlX/O38izI1vTq2nYeccd+9568sxWx7KtxzJZujsVc5GNtD+M4XAzGujaIJg9yTm0qRfAzpPZpOUU0qZeAF7ubqTlFBDfMJQQXw/CA7zwMbnxyi/7KbLa6RwbTMf6QbSMDKBekDe1vNzZn5rL1a+tIqewCE93Ix5uRsfVjKhgb+bd1plGYX7EN1SgEKkOFCxERETKWdZZC3cs2EhuYRGd6wcz49rWGA1QP8QXo9H5sRERAV48PKgZAKdyCtmXmsvh03ncNm8DDw5sSpHVzvYTWZy1FLE/NZc8s5XO9YP5V++GZJ21MOOn3Y4xDe5GA83q1KJNvUBu6BhFu6hAx3HyCovYk5JDXFTgResc2aHeRetsVTeAKYOb89Xm40wf3oo29QLYeiyT/Wm5DG1dh2BfD6fPXUQqLwULERGRclRgsXLPJ1s4dDqPyAAvXr+1PaF+nmW2/9q1PFl4T3dm/rSHD9Ye5T+L9563Tbi/J6+NiiOsVvEcGFc0DOW7rSdoXsefDjFBF5xQDsDX050OMUGXVd/tPRtwe88GjtddG4TQVbc8iVRLChYiIiLl5FhGPrcv2MielBy8TEbeHtOxTEPFOT4e7jw1ohURAV48v2QvjcP8GNUlhkAfE94mN7o0CCHA+3+DwGvX8uSfPRr8xR5FRJynYCEiIlJOHv9uB3tScgj18+CVm+IuOri6rEzo3YhbOkcT4G26pFusREQuh4KFiIhIGbHa7GSftRDk68GelGxW7D2F0QCf3RlPw9p+FVJDkMYtiIiLKFiIiEiNsj81hxk/7Sav0EpMiA/dG4eSXVBEvSBvejaujdsl/qY/YVcqT/24i6SMfCIDvBzjFga3qlNhoUJExJUULEREpNpLzS5gytfb8TIZ2XDkDKf++4jV9Ucy+GLTccd2Ib4e+Hq6M7xdJD2b1ObzDcfo2zycgS3DL/oo2AKLlek/7uLjdUmOZSezChz/fUdPjWUQkZpBwUJERKqFfHMRXu5uJcYWWG121h1K5+Gvt3Es46xjebOIWkzo3YjNSWfYfPQMwb4ebDp6hvQ8M+l5Zl795QCv/nIAgC82HadZRC2ubV+XqCAfAn082HLsDAu3JRPs68Guk9mk55kxGIpDxPjusRxIzWXT0TNEBnrT9g+PbxURqc4ULEREpNKz2+0AF7xqYLfbmf7jLuavOYLBYCAy0ItGtf2oXcuTX/edJiW7+OpBTIgPA1tGcDq3kEeHNCfUz5Or2kY69nPWbGVvag77UnJ48vudnLVY6dE4lE1Hz7AnJYcZP+25aH11A72ZeW1rejapDUBYLS+uaBRalh+BiEilp2AhIiKV0i97Utl45AxWu51vNp8g3N+L126JIybE17FNToGFV5btZ97qI8UL7HaOZZwtcXXC38udoW3qMKl/E8c8Dhfi7eFGu6hA2kUFckWjEDLyzLSpF0hmvplvt5xg9cF0MvLMnMk34+fpzi2do7EDQT4e9GsehrubsZw+CRGRqkHBQkREXMput593JWLNgdP8c/5GbPb/LUvLKWToK6vo3iiUfi3COZ1byCvL9pNvtgLw1PCW9G8RwdH0PA6eyuP4mXzaRgXSq2ltPN0vPAHcxdQL8qFekA8AgT4e3NYtltu6xV7eiYqIVHMKFiIi4hIWq41R76xjy7EzhPt74eFuxM1gwM1o4FhGPjY7dI4Npl6QN90ahvLx+iQ2HT3Dop0pLNqZ4thPw9q+/N+VDbm+YxQAEQFedNHMziIiFU7BQkREXOLDtUdZfyQDgONnzp63vm1UIAv+0dnx2NYRcXXZnHSGNQfS+XLzMXIKivj3kOZc16HeRZ/YJCIiFUfBQkREKkR2gQV/LxMAyVlneTFhHwBTBjejY/1giqw2rHY7NhsYjdCpfjCmP4xbcDMa6FQ/mE71g7mnbyOsNrvGNYiIVCIKFiIiUq7sdjtTv9/J/MSjjOoSTfvoIGb8tJucgiJaRvrzzx4NnJ6UzmAw4O6mqxQiIpWJgoWIiJQbu93O/DVHmJ94FICP1iXx0X8nkmtex583RnW45JmuRUSkclGwEBGRcnEi8ywPffk7qw+kAzCyfT1W7E3Dz8ud69rX4/aeDRzjJ0REpOpTsBARkTJ3LCOfm99Zy/EzZ/FwM3J7z1geGNAUuPAkdyIiUvUpWIiISJk6nVvIqHfXcfzMWeqH+LDgH12IDvFxdVkiIlLOFCxERKTMnMg8y78+3ERSRj5Rwd58ekc8EQEXn+1aRESqDwULEREpE59tSOKJ73ZSWGQj0MfE++M6K1SIiNQgChYiInLJiqw21h7KYEvSGV7477wUXWKDeWpEKxrW9nNxdSIiUpEULERExGlFVhurDpzm2Z/3sCclx7F8XLf6PDGshQZoi4jUQAoWIiJyQUfT80jJKiDc34v6ob6kZRfw0tL9JOxKJafAQmGRDYAAbxOt6wbQo3Eod/RsoFAhIlJDKViIiMh5Pl2fxJRvtmO3F7+uH+LDsTNnsdrsjm2CfT24qk0d7unbmBA/TxdVKiIilYWChYiIlLDteCZPfLcTux2igr05mVnAkfR8ADrEBHFfv8ZEB/tQN9Abdzeji6sVEZHKwuX/Rzhx4gS33norISEheHt707p1azZu3OhYb7fbeeKJJ6hTpw7e3t7069eP/fv3l9hHRkYGo0aNwt/fn8DAQMaPH09ubm5Fn4qISJWTV1jEqZxCTuUUcvxMPt9sOc6od9Zhttro1zycXx/szdopfXlrdAd+e6g3X911BT0a1yYmxFehQkRESnDpFYszZ87QrVs3evfuzc8//0zt2rXZv38/QUFBjm1mzZrFK6+8wvz584mNjeXxxx9n4MCB7Nq1Cy+v4scYjho1iuTkZBISErBYLIwbN4477riDjz/+2FWnJiJSqRVZbby8bD9vrDhI0R9ubzqnU/0gXrihLQaDgdq1PBnYMsIFVYqISFXi0mDx3HPPERUVxbx58xzLYmNjHf9tt9uZPXs2jz32GMOHDwdgwYIFhIeH8+2333LTTTexe/duFi1axIYNG+jYsSMAr776KkOGDOH5558nMjKyYk9KRKSSK7BYuX3BRn7bf7rEcnejgehgHwa1imBS/yaYdEVCRESc4NJg8f333zNw4ECuv/56Vq5cSd26dfnXv/7F7bffDsDhw4dJSUmhX79+jvcEBATQpUsXEhMTuemmm0hMTCQwMNARKgD69euH0Whk3bp1XHPNNRV+XiIilVFeYRGLdqTw5abjJB5Kx8fDjedGtuGqtvoFjIiIXD6XBotDhw7xxhtvMHnyZB599FE2bNjAPffcg4eHB2PHjiUlJQWA8PDwEu8LDw93rEtJSSEsLKzEend3d4KDgx3b/FlhYSGFhYWO19nZ2QBYLBYsFkuZnZ9UT+d6RL0ipVUZembnyWzu+ex3kjLOAuBlMvL2rXF0iQ1WL1dClaFnpOpQv4izyqtXXBosbDYbHTt2ZMaMGQDExcWxY8cO3nzzTcaOHVtux505cybTpk07b/ny5cvx8fEpt+NK9ZKQkODqEqSKcVXPpOTDC9vdMNsMBHrYaRtip3PtItJ3r+Wn3S4pSUpJ/86IM9QvUlr5+fnlsl+XBos6derQokWLEsuaN2/OV199BUBERPFgwdTUVOrUqePYJjU1lXbt2jm2SUtLK7GPoqIiMjIyHO//sylTpjB58mTH6+zsbKKioujduzchISGXfV5SvVksFhISEujfvz8mk8nV5UgV4KqeMRfZ2H4ii5e/3YnZlk+n+kG8cUs7ArzVt5Wd/p0RZ6hfxFnp6enlsl+XBotu3bqxd+/eEsv27dtHTEwMUDyQOyIigmXLljmCRHZ2NuvWreOuu+4CID4+nszMTDZt2kSHDh0A+OWXX7DZbHTp0uWCx/X09MTT8/zJnEwmk34gpdTUL+KssugZm81O1lkLbm4G/L1K7stcZGPb8UzWHkpn7aEMNh7NoMBSPDt2nQAv3ry1gyayq2L074w4Q/0ipVVefeLSYDFp0iSuuOIKZsyYwQ033MD69et5++23efvttwEwGAzcd999PP300zRu3NjxuNnIyEhGjBgBFF/hGDRoELfffjtvvvkmFouFiRMnctNNN+mJUCJS5dlsdnanZJN4MJ3Eg+msP5xBTmERbkYD9/VtzC1dojFbbexLzeWhL38nNbuwxPtDfD3o2iCESf01O7aIiJQvlwaLTp068c033zBlyhSmT59ObGwss2fPZtSoUY5tHnroIfLy8rjjjjvIzMyke/fuLFq0yDGHBcBHH33ExIkT6du3L0ajkZEjR/LKK6+44pRERMpEUno+7/x2iIXbk8nIM5+33mqz80LCPl5I2FdiebCvB/ENQujaIJiuDUJoFOaHwWCoqLJFRKQGc2mwABg2bBjDhg276HqDwcD06dOZPn36RbcJDg7WZHgiUi3YbHaSMvK57s01nM4tDhQ+Hm50jg0mvkEI8Q1DaBbhzzdbjjP9h13kma24GQ0YgBs7RfHY0BZ4e7i59iRERKRGcnmwEBGpKXIKLLgVUWLw9FmzlZ93JHMqp5CV+06ReCgdo8GA1WanWUQtpgxpzhUNQ86brO7GTtFc274eUDyxXZHNrgntRETEpRQsREQqwOEcePLFVeSbrXRrFEKe2Yqfpzt7U3I4kXm2xLZWu50GtX1ZML4zYbW8LrJHSgQJk5tudxIREddSsBARKWfrDmfw+i43zLbiCYmW7z1VYn3dQG86xwZTP8SXYW3rYABiQnxxMyosiIhI1aFgISJSTrLyLWw5doaJH2/FbDPQvVEIk/o3YeuxLEL9PMgtLMLNYGB4u7oaFyEiIlWegoWISBk7mp7HnOUH+HrzCYpsdgAa1rLz5i3t8PPxokNMsIsrFBERKXsKFiIiZcRmszP1h518tC4J638DRWSAF3FRgXT3Po6nSVclRESk+lKwEBEpI59uOMaCxKMA9Gpam7v7NKZDTBAWi4Wffjru4upERETKl4KFiMhlOn4mn8SD6Tz7824AHhvanH/2aODiqkRERCqWgoWIyGX4cdtJHvxiG2ctVgBa1fVnXLdYF1clIiJS8RQsREQu0XdbT3Dvp1sBaFHHn7ZRgUzs00iPiRURkRpJwUJE5C/YbHZ2nMzC5GbE3WhgS1ImW49nYjIa+GJT8biJMfExPDGsBe6a+VpERGowBQsRkYsoLLLy4Bfb+P73kxfdplujEJ68qqWuUoiISI2nYCEicgGZ+Wbu+GAT6w9n4G404GVyo8hmo029QOKiAym02MgpKOLRIc0UKkRERFCwEBEpochqY+H2ZF5K2MeR9Hxqebrzxq0duKJhCABGhQgREZELUrAQkRrLbrfzxabj7DiRxe09GrA7OZv/LN7L/rRcAOoEeDFvXCeaRfi7uFIREZHKT8FCRGqc5XvTeHvlIaw2O+uPZAA4JrYDCPIxMb57LKO71ifAx+SqMkVERKoUBQsRqVHScwuZ/NlWzuRbAHAzGmgWUYudJ7MJ8DZxS5do/u/KhgR4K1CIiIg4Q8FCRGqUp37cxZl8C80ianFDxyg6xwbTMtKf3ck5xIb64u3h5uoSRUREqiQFCxGpMT7fcIxvt57EYIBnR7ahXVSgY12LSI2jEBERuRyazUlEaoR1h9J57NsdANzbt3GJUCEiIiKXT8FCRKq9DUcyGPf+BsxWGwNbhnNPn8auLklERKTaUbAQkWotOessty/YSL7ZSvdGobx8U5zmohARESkHChYiUm1ZbXYmfbaVzHwLrer6886YjniZNDhbRESkPChYiEi19ezPu1l7KAMfDzdeuSlOT3wSEREpR3oqlIhUaXa7neV70zBgoH6oL5GBXqw9lMEPv5/ky03HgeInQDWo7efiSkVERKo3BQsRqdLmrznC1B92OV4bDWCz/2/95P5NuLptpAsqExERqVkULESkyjqZeZb/LN4LQGyoLyczz1JYZKN2LU/6twhnaOs6XNEwxMVVioiI1AwKFiJS5eSbi3jn18N8vP4oeWYrHWKC+OLOeKx2OylZBdQN9NaTn0RERCqYgoWIVCmr9p/mwS9/JzmrAIBwf0+eG9kao9GAEQNRwT4urlBERKRmUrAQkSpj7qrDPLNwFzY7RAV788CApgxqFYGnu572JCIi4moKFiJSJSzakcJTPxYP0r6hYz2mD2+lOSlEREQqEQULEan0th3P5MEvfwfgH91ieXxYcwwGjaEQERGpTBQsRKTS2peaw1ebjvPe6sNYrHY6xAQxZUgzhQoREZFKSMFCRCqVrccy+Xl7Mr/tP82u5GzH8kEtI3juujaY3IwurE5EREQuRsFCRCqNhF2p/N+Hm7D+d4Y7k5uBXk3DuK5DPQa0CNeVChERkUpMwUJEKoWtxzKZ8PFmrDY7VzapzbA2dejXPJwgXw9XlyYiIiKloGAhIhXObrdzIvMsGXlmWtcNwG6HJ7/bgbnIRt9mYbw1ugPuuuVJRESkSlGwEJEKdeR0Hv/34Sb2pOQA8MSwFgT7evD78Sx8PdyYObK1QoWIiEgVpGAhIhUmYVcqD3+1jYw8M0YD2Owwa/EeTMbiIPGv3o0Iq+Xl4ipFRETkUujXgiJSIaZ8vZ3bF2x03P6UOKUvVzQMocBiI6ewiC6xwYzvHuvqMkVEROQSKViISLlbsTeNT9Yn4WY0cFevhnx+Zzzh/l48N7INzev4c12Hesz/R2fNpC0iIlKF6VYoEbls+eYi9qTkUGS1UzfIm7qB3tjtdk5mFbAnOZtnFu4G4LYr6vPwoGaO90UF+/DzvT1cVbaIiIiUIQULEblk2QUWpn2/i2+2HOe/U08A0DEmiMOn80jPMzuWhfp5cG+/xi6oUkRERCqCgoWIlNr+1By+2HScQ6dyyS0sYndyDllnLQCE1fLEx8ONoxn5bDx6BgB3o4FGYX40jajF7T0a4O9lcmX5IiIiUo4ULESkVL7efJz7v/gdu73k8qhgb166oR0d6wcDcPh0Hqv2n6JJeC3iooPwcNdQLhERkZrApf/Hnzp1KgaDocSfZs3+d/91QUEBEyZMICQkBD8/P0aOHElqamqJfSQlJTF06FB8fHwICwvjwQcfpKioqKJPRaRa252czaPfbMduhyub1OaZa1ox+8Z2fDehG8sm93KECoDYUF9Gx9enS4MQhQoREZEaxOVXLFq2bMnSpUsdr93d/1fSpEmTWLhwIV988QUBAQFMnDiRa6+9ltWrVwNgtVoZOnQoERERrFmzhuTkZMaMGYPJZGLGjBkVfi4i1Y3FauPnHSk88d0OCiw2ejapzbzbOmE0GlxdmoiIiFQyLg8W7u7uREREnLc8KyuLuXPn8vHHH9OnTx8A5s2bR/PmzVm7di1du3ZlyZIl7Nq1i6VLlxIeHk67du146qmnePjhh5k6dSoeHh4VfToi1cbCbck88vU2cgqKrwC2rhvA7BvbKVSIiIjIBbn8PoX9+/cTGRlJgwYNGDVqFElJSQBs2rQJi8VCv379HNs2a9aM6OhoEhMTAUhMTKR169aEh4c7thk4cCDZ2dns3LmzYk9EpBo5lpHPQ1/+Tk5BESG+HtzdpxFf3XUFwb4K6yIiInJhLr1i0aVLF95//32aNm1KcnIy06ZNo0ePHuzYsYOUlBQ8PDwIDAws8Z7w8HBSUlIASElJKREqzq0/t+5iCgsLKSwsdLzOzs4GwGKxYLFYyuLUpBo71yPVtVfsdjsPf/k7eWYrHWMC+fAfnXAzGsBuxWKxurq8Kqm694yUPfWMOEP9Is4qr15xabAYPHiw47/btGlDly5diImJ4fPPP8fb27vcjjtz5kymTZt23vLly5fj4+NTbseV6iUhIcHVJZSLzacNrDnkhslgZ2DQaRYv+tnVJVUb1bVnpPyoZ8QZ6hcprfz8/HLZr8vHWPxRYGAgTZo04cCBA/Tv3x+z2UxmZmaJqxapqamOMRkRERGsX7++xD7OPTXqQuM2zpkyZQqTJ092vM7OziYqKorevXsTEhJShmck1ZHFYiEhIYH+/ftjMlWveRnyzUU8+8oaoIC7ejfitt4NXV1StVCde0bKh3pGnKF+EWelp6eXy34rVbDIzc3l4MGDjB49mg4dOmAymVi2bBkjR44EYO/evSQlJREfHw9AfHw8zzzzDGlpaYSFhQHFad3f358WLVpc9Dienp54enqet9xkMukHUkqtOvbL3OWHSM4qoG6gN//q3RiTyc3VJVUr1bFnpHypZ8QZ6hcprfLqE5cGiwceeICrrrqKmJgYTp48yZNPPombmxs333wzAQEBjB8/nsmTJxMcHIy/vz9333038fHxdO3aFYABAwbQokULRo8ezaxZs0hJSeGxxx5jwoQJFwwOInJxxzLyefPXQwA8NrQ5XgoVIiIi4gSXBovjx49z8803k56eTu3atenevTtr166ldu3aALz00ksYjUZGjhxJYWEhAwcO5PXXX3e8383NjR9//JG77rqL+Ph4fH19GTt2LNOnT3fVKYlUSScyzzLps62Yi2xc0TCEQa0ufiuhiIiIyIW4NFh8+umnf7ney8uLOXPmMGfOnItuExMTw08//VTWpYnUGKsPnOaOBRvJM1vxMhl58qqWGAyaq0JEREScU6nGWIhIxdl2PJOftqfw3urDmItsdIgJ4tlrW9M4vJarSxMREZEqSMFCpAZavieN8fM3YLMXv+7fIpzXbonD013jKkREROTSKFiI1AB2u51TuYUcyzjLpqMZvLx0PzY79Ggcyoh2dbm6XSQmN6OryxQREZEqTMFCpBrbeTKLOcsP8MueNAosthLr4huEMHdsJzzcFShERETk8ilYiFRTB0/lcs3razAXFQcKowHqBHjTMMyPfs3DuL5DlEKFiIiIlBkFC5Fq6sWEfZiLbLSPDmT68FY0Ca+lICEiIiLlRsFCpBraeTKLhduSMRjgmWta07yOv6tLEhERkWpOv74UqWayzlq499OtAAxtXUehQkRERCqEgoVINVJktTHx480cSMslwt+Lx4e1cHVJIiIiUkMoWIhUE3a7nak/7OS3/afxNrnx7tiOhPt7ubosERERqSEULESqie+2nuTDtUkYDPDyTe1oVTfA1SWJiIhIDaJgIVINZOabeerHXQDc17cJA1pGuLgiERERqWn0VCiRKqzIauO15Qf4dssJ0vPMNA7z465eDV1dloiIiNRAChYiVdj8xKPMXrofAB8PN54d2VpzVYiIiIhLKFiIVDEHT+Xy2YZjnMkzs3B7MgCT+jXh1q7RhPh5urg6ERERqakULESqkIRdqdz5wUZs9v8t61Q/iLv7NMJoNLiuMBEREanxFCxEqojcwiIe+3Y7Njtc0TCEDjFBJGcVcG/fxgoVIiIi4nIKFiJVgN1u55mFu0nNLiQmxIf3buuEl8nN1WWJiIiIOChYiFRyVpudB7/8na83nwBg2tUtFSpERESk0tHjY0QquflrjvD15hO4GQ08N7I1vZqGubokERERkfMoWIhUYscy8nl+yV6g+ErFjZ2iXVyRiIiIyIVd0q1QSUlJHD16lPz8fGrXrk3Lli3x9NRjLkXKSkaembmrDjF/zVHyzVY61Q/ils4KFSIiIlJ5lTpYHDlyhDfeeINPP/2U48ePY7f/73mXHh4e9OjRgzvuuIORI0diNOpCiIizsgssPPHtDn7Zk0a+2UrRf58p2yyiFs9f31ZPfhIREZFKrVQJ4J577qFt27YcPnyYp59+ml27dpGVlYXZbCYlJYWffvqJ7t2788QTT9CmTRs2bNhQ3nWLVCsnMs9y9aur+HbrSbILiiiy2WkZ6c9bozvw0z09iAnxdXWJIiIiIn+pVFcsfH19OXToECEhIeetCwsLo0+fPvTp04cnn3ySRYsWcezYMTp16lTmxYpUR6dzCxn73nqOpOdTN9CbWde1ISbEh7qB3hgMukohIiIiVUOpgsXMmTNLtbPk5GQGDRp0WQWJ1BTHMvL5z+K9LNqZgrnIRp0AL768K546Ad6uLk1ERETEaaUeDDF58uS/XJ+cnEyvXr0utx6Ras9ut/Pub4fo++JKvv/9JOYiG80iajH/H50VKkRERKTKKvXg7Xnz5hESEsK///3v89adCxW1a9cu0+JEqhO73c6iHSm8t/owG46cAeCKhiE8MrgZresG6LYnERERqdJKHSy+//57Bg0aRHBwMHfddZdjeUpKCr179yY4OJhFixaVS5EiVZ3dbufZRXt4a+UhADzcjTw+rAW3dolWoBAREZFqodTBokePHnz++eeMHDmSoKAgbrrpJkeoCAgIYMmSJfj5+ZVnrSJV1txVhx2h4s6eDRh7RX0iA3Xbk4iIiFQfTk2QN3ToUN577z3GjRtHQUEBs2bNws/PjyVLllCrVq3yqlGkSkvLKeCFJfsAeHRIM+7o2dDFFYmIiIiUPadn3r7lllvIzMxk/PjxtG/fnqVLlxIQEFAetYlUC68uO8BZi5V2UYHc3qOBq8sRERERKRelDhZxcXEl7gU3mUxkZmbSu3fvEttt3ry57KoTqeLWHDjNJ+uTAHhkcDONpxAREZFqq9TBYsSIESVeDx8+vKxrEalWtiSd4fYFGymy2bm6bSRdG5w/waSIiIhIdVHqYPHkk0+WZx0i1cqv+07xfx9uIt9s5YqGIfzn+jauLklERESkXJV6gry/s2/fPq6++uqy2p1IlWS323lz5UHGvb+BfLOV7o1CeXtMRzzd3VxdmoiIiEi5cnrwdmxs7AXvEz9z5gweHh5lUpRIVfXWr4d49uc9AIxsX48Z17ZSqBAREZEawelgcd9995V4bbVaOXjwIB9++CFz5swpq7pEqpytxzJ5fvFeAP49pDn/7HHhEC4iIiJSHTkdLO69994LLu/Tpw9PPvkk11133WUXJVLV/LQ9mYe/3EaRzc7QNnUUKkRERKTGcTpYXEz79u05dOhQWe1OpMr4busJ7v10KwAdY4KYcU1rhQoRERGpccosWHz00Ue6WiE1zrpD6Tz4xTYAbu0azZNXtcTkVmbPRBARERGpMpwOFn+eKA8gNTWVlJQUWrVqRfv27R3LNVmeVFd5Fli2O437v9yO2WpjUMsIpl/dCqNRVypERESkZnI6WPx5ojyRmuSs2cqzP+9hwUY37Bu3AtCtUQizb2qnUCEiIiI1mtPBQhPlSU2VlW/h1rnr2H4iCzAQ7u9J90a1eXpEK7xMeqSsiIiI1GylChZ5eXn4+vqWeqfObi9S2Z01Wxn9XnGoCPY1cUNUAfePuhKTyeTq0kREREQqhVKNMm3UqBHPPvssycnJF93GbreTkJDA4MGDeeWVV5wu5Nlnn8VgMJSYJ6OgoIAJEyYQEhKCn58fI0eOJDU1tcT7kpKSGDp0KD4+PoSFhfHggw9SVFTk9PFF/sobKw+y7XgWwb4efDCuI82D7K4uSURERKRSKdUVixUrVvDoo48ydepU2rZtS8eOHYmMjMTLy4szZ86wa9cuEhMTcXd3Z8qUKdx5551OFbFhwwbeeust2rRpU2L5pEmTWLhwIV988QUBAQFMnDiRa6+9ltWrVwPFk/MNHTqUiIgI1qxZQ3JyMmPGjMFkMjFjxgynahC5mOSss7z960EAnh7RiibhtTjg4ppEREREKptSBYumTZvy1VdfkZSUxBdffMFvv/3GmjVrOHv2LKGhocTFxfHOO+8wePBg3Nycu9c8NzeXUaNG8c477/D00087lmdlZTF37lw+/vhj+vTpA8C8efNo3rw5a9eupWvXrixZsoRdu3axdOlSwsPDadeuHU899RQPP/wwU6dOxcPDw6laRP4sr7CI+z7dSoHFRuf6wQxuFaErYiIiIiIX4NQD96Ojo7n//vv59ttv2bJlC3v27GHVqlW8+uqrDBs2zOlQATBhwgSGDh1Kv379SizftGkTFoulxPJmzZoRHR1NYmIiAImJibRu3Zrw8HDHNgMHDiQ7O5udO3c6XYvIH2Xmmxn73nrWHc7Az9OdacNbauI7ERERkYsoswnyLsWnn37K5s2b2bBhw3nrUlJS8PDwIDAwsMTy8PBwUlJSHNv8MVScW39u3cUUFhZSWFjoeJ2dnQ2AxWLBYrFc0rlI9ZGWU8j3vyfz+cbjHE7Pp5aXO++NaU+jUO8SPaJekdJSz4iz1DPiDPWLOKu8esVlweLYsWPce++9JCQk4OXlVaHHnjlzJtOmTTtv+fLly/Hx8anQWqRyKbTCjK1uZJqLr0wEedi5o2kBJ7ev4eT2ktsmJCS4oEKpytQz4iz1jDhD/SKllZ+fXy77dVmw2LRpE2lpaSVm6rZarfz666+89tprLF68GLPZTGZmZomrFqmpqURERAAQERHB+vXrS+z33FOjzm1zIVOmTGHy5MmO19nZ2URFRdG7d29CQkLK4vSkinp52QEyzYeI8PdkVOcoru9QlxA/zxLbWCwWEhIS6N+/vx43K6WinhFnqWfEGeoXcVZ6enq57NdlwaJv375s317yV8Djxo2jWbNmPPzww0RFRWEymVi2bBkjR44EYO/evSQlJREfHw9AfHw8zzzzDGlpaYSFhQHFad3f358WLVpc9Nienp54enqet9xkMukHsgY7fiafd1cfAeDJq1oyuHWdv9xe/SLOUs+Is9Qz4gz1i5RWefWJy4JFrVq1aNWqVYllvr6+hISEOJaPHz+eyZMnExwcjL+/P3fffTfx8fF07doVgAEDBtCiRQtGjx7NrFmzSElJ4bHHHmPChAkXDA4iF2O12Zn82e/FT3+KDWZQq4tf8RIRERGR8zn1VKhzfvvtN2699Vbi4+M5ceIEAB988AGrVq0q0+Jeeuklhg0bxsiRI+nZsycRERF8/fXXjvVubm78+OOPuLm5ER8fz6233sqYMWOYPn16mdYh1d9rvxxg/ZEMfD3ceP66tnr6k4iIiIiTnL5i8dVXXzF69GhGjRrFli1bHE9XysrKYsaMGfz000+XXMyKFStKvPby8mLOnDnMmTPnou+JiYm5rGOK/Lw9mZeW7gNg+vBWRIdoAL+IiIiIs5y+YvH000/z5ptv8s4775S4P6tbt25s3ry5TIsTKW/bj2cx6fOtANx2RX1Gdqjn2oJEREREqiing8XevXvp2bPnecsDAgLIzMwsi5pEKsTxM/n8c8EGCiw2rmxSm8eGNnd1SSIiIiJVltPBIiIiggMHDpy3fNWqVTRo0KBMihIpbwm7Uhn6yipSswtpEu7Hq7fE4e52SUOORERERIRLCBa333479957L+vWrcNgMHDy5Ek++ugjHnjgAe66667yqFGkzBRYrLy36jB3fLCRrLMW2tYLYN64zvh76fF8IiIiIpfD6cHbjzzyCDabjb59+5Kfn0/Pnj3x9PTkgQce4O677y6PGkXKxFsrD/KfxXspstkBGNUlmievaomHu65UiIiIiFwup4KF1Wpl9erVTJgwgQcffJADBw6Qm5tLixYt8PPzK68aRS7b9uNZPLdoDzY7hPh6cHvPBtzZs4EeKysiIiJSRpwKFm5ubgwYMIDdu3cTGBj4l7Nbi1QWVpudf3+7HZsdrm4bycs3tVOgEBERESljTt8D0qpVKw4dOlQetYiUi683H2fb8Sxqebnz2LDmChUiIiIi5eCS5rF44IEH+PHHH0lOTiY7O7vEH5HKpMBi5cWE4snv7u7TiLBaXi6uSERERKR6cnrw9pAhQwC4+uqrS/zm1263YzAYsFqtZVedyGV659dDJGcVUDfQmzHx9V1djoiIiEi15XSwWL58eXnUIVLmDqTl8ury4jlXHhrUFC+Tm4srEhEREam+nA4WV155ZXnUIVKmrDY7D3+1DXORjV5Na3N120hXlyQiIiJSrTkdLH799de/XN+zZ89LLkakrCxIPMKmo2fw9XDjmWtaa8C2iIiISDlzOlj06tXrvGV//NKmMRbiascy8pm1aC8AjwxpTt1AbxdXJCIiIlL9Of1UqDNnzpT4k5aWxqJFi+jUqRNLliwpjxpFSs1utzPl6+2ctVjpHBvMqM7Rri5JREREpEZw+opFQEDAecv69++Ph4cHkydPZtOmTWVSmMil+Hh9EqsOnMbT3chzI9tgNOoWKBEREZGK4HSwuJjw8HD27t1bVrsTcdobKw4ya/EeAO4f0ITYUF8XVyQiIiJSczgdLLZt21bitd1uJzk5mWeffZZ27dqVVV0iTlm0I5nnFhWHilu7RjO+ewMXVyQiIiJSszgdLNq1a4fBYMBut5dY3rVrV957770yK0yktHILi5j6/S4A7uzZgClDmru4IhEREZGax+lgcfjw4RKvjUYjtWvXxsvLq8yKEimtM3lm7v1sKynZBcSE+DCpfxNXlyQiIiJSIzn9VKiVK1cSERFBTEwMMTExREVF4eXlhdlsZsGCBeVRo8gF5RUWce0ba/h13yk83Y08e20bza4tIiIi4iJOB4tx48aRlZV13vKcnBzGjRtXJkWJlMbspfs4fDqPOgFefPOvbsQ3DHF1SSIiIiI1ltPBwm63X3AW4+PHj1/wUbQi5WHXyWzeW30EgBnXtqZFpL9rCxIRERGp4Uo9xiIuLg6DwYDBYKBv3764u//vrVarlcOHDzNo0KByKVLkj6w2O49+sx2rzc7Q1nXo3TTM1SWJiIiI1HilDhYjRowAYOvWrQwcOBA/Pz/HOg8PD+rXr8/IkSPLvECRP/tw7VG2Hsuklqc7T1zVwtXliIiIiAhOBIsnn3wSgPr163PjjTfqKVDiEh+sPcq0H3YC8OCgpoT7qw9FREREKgOnHzc7duzY8qhD5C/ZbHaeW7SHt349BMCNHaO4tUuMi6sSERERkXOcDhZWq5WXXnqJzz//nKSkJMxmc4n1GRkZZVacCBQ/MODx73bw0bokAO7v34SJfRpd8CECIiIiIuIaTj8Vatq0abz44ovceOONZGVlMXnyZK699lqMRiNTp04thxKlpvtg7VE+WpeEwQAv3tCWu/s2VqgQERERqWScDhYfffQR77zzDvfffz/u7u7cfPPNvPvuuzzxxBOsXbu2PGqUGuzzDceY+n3xmIpHBjXj2vb1XFyRiIiIiFyI08EiJSWF1q1bA+Dn5+eYLG/YsGEsXLiwbKuTGu2bLcd56Ktt2OxwS5do7ujZwNUliYiIiMhFOB0s6tWrR3JyMgANGzZkyZIlAGzYsAFPT8+yrU5qrEOncvn3NzsAGNetPs+MaKXbn0REREQqMaeDxTXXXMOyZcsAuPvuu3n88cdp3LgxY8aM4R//+EeZFyg1T0aembs+3Ey+2UrXBsE8NrSFQoWIiIhIJef0U6GeffZZx3/feOONxMTEsGbNGho3bsxVV11VpsVJzZN11sIt76xlb2oOtWt5MvvGONyMChUiIiIilZ1TwcJisXDnnXfy+OOPExsbC0DXrl3p2rVruRQnNc8T3+1gT0pxqPjk9q5EBGgCPBEREZGqwKlboUwmE1999VV51SI13HdbT/Dd1pO4GQ28eWsHGoX5ubokERERESklp8dYjBgxgm+//bYcSpGa7PdjmTz81TYAJvRuRIeYIBdXJCIiIiLOcHqMRePGjZk+fTqrV6+mQ4cO+Pr6llh/zz33lFlxUjMcP5PP+PkbKbDY6N20Nvf0aeTqkkRERETESU4Hi7lz5xIYGMimTZvYtGlTiXUGg0HBQpySXWBh/PsbOZ1bSPM6/rx6S3vc3Zy+kCYiIiIiLuZ0sDh8+HB51CE11ItL9rE3NYewWp68d1tH/DydbkkRERERqQQu+VfDZrOZvXv3UlRUVJb1SA2SnlvIpxuSAHj++rbUCfB2cUUiIiIicqmcDhb5+fmMHz8eHx8fWrZsSVJS8RfDu+++u8QcFyJ/Z/6aIxRYbLSuG0CPxqGuLkdERERELoPTwWLKlCn8/vvvrFixAi+v/80x0K9fPz777LMyLU6qr81JZ3h3VfFtdXf1aqiZtUVERESqOKdvaP/222/57LPP6Nq1a4kvgy1btuTgwYNlWpxUT0dO5zFu3gbyzVZ6NA5lYMsIV5ckIiIiIpfJ6SsWp06dIiws7LzleXl5+q2z/C273c6j32wn66yFdlGBvHlrB9yM6hsRERGRqs7pYNGxY0cWLlzoeH0uTLz77rvEx8c7ta833niDNm3a4O/vj7+/P/Hx8fz888+O9QUFBUyYMIGQkBD8/PwYOXIkqampJfaRlJTE0KFD8fHxISwsjAcffFADyiuxrzafYM3BdDzdjbxyUxy+egqUiIiISLXg9Le6GTNmMHjwYHbt2kVRUREvv/wyu3btYs2aNaxcudKpfdWrV49nn32Wxo0bY7fbmT9/PsOHD2fLli20bNmSSZMmsXDhQr744gsCAgKYOHEi1157LatXrwbAarUydOhQIiIiWLNmDcnJyYwZMwaTycSMGTOcPTUpZyv2pvHoN9sBuKdvY6JDfFxckYiIiIiUFaevWHTv3p2tW7dSVFRE69atWbJkCWFhYSQmJtKhQwen9nXVVVcxZMgQGjduTJMmTXjmmWfw8/Nj7dq1ZGVlMXfuXF588UX69OlDhw4dmDdvHmvWrGHt2rUALFmyhF27dvHhhx/Srl07Bg8ezFNPPcWcOXMwm83OnpqUo93J2dzxwSbMRTYGtgznjp4NXF2SiIiIiJShS7oPpWHDhrzzzjtlWojVauWLL74gLy+P+Ph4Nm3ahMVioV+/fo5tmjVrRnR0NImJiXTt2pXExERat25NeHi4Y5uBAwdy1113sXPnTuLi4sq0Rrk0hUVWJn22FXORjSub1ObVm9tj0uzaIiIiItXKJQULq9XKN998w+7duwFo0aIFw4cPx93d+d1t376d+Ph4CgoK8PPz45tvvqFFixZs3boVDw8PAgMDS2wfHh5OSkoKACkpKSVCxbn159ZdTGFhIYWFhY7X2dnZAFgsFiwWi9PnIH9tzi8H2ZOSQ7CvieeuaYHBbsVisbq6rEt2rkfUK1Ja6hlxlnpGnKF+EWeVV684nQR27tzJ1VdfTUpKCk2bNgXgueeeo3bt2vzwww+0atXKqf01bdqUrVu3kpWVxZdffsnYsWOdHqvhrJkzZzJt2rTzli9fvhwfH933X5ZyLfDWZjfAwNWRBaz7dZmrSyozCQkJri5Bqhj1jDhLPSPOUL9IaeXn55fLfp0OFv/85z9p2bIlGzduJCgoCIAzZ85w2223cccdd7BmzRqn9ufh4UGjRo0A6NChAxs2bODll1/mxhtvxGw2k5mZWeKqRWpqKhERxfMeREREsH79+hL7O/fUqHPbXMiUKVOYPHmy43V2djZRUVH07t2bkJAQp+qXv/bc4n0U2o7Qok4tHh3dtVo8kthisZCQkED//v0xmUyuLkeqAPWMOEs9I85Qv4iz0tPTy2W/TgeLrVu3lggVAEFBQTzzzDN06tTpsguy2WwUFhbSoUMHTCYTy5YtY+TIkQDs3buXpKQkx2Nt4+PjeeaZZ0hLS3PMrZGQkIC/vz8tWrS46DE8PT3x9PQ8b7nJZNIPZBlKyyngw3VJADwwsCkeHh4urqhsqV/EWeoZcZZ6RpyhfpHSKq8+cTpYNGnShNTUVFq2bFlieVpamuPKQ2lNmTKFwYMHEx0dTU5ODh9//DErVqxg8eLFBAQEMH78eCZPnkxwcDD+/v7cfffdxMfH07VrVwAGDBhAixYtGD16NLNmzSIlJYXHHnuMCRMmXDA4SMV6Y8VBCiw24qID6d30/EkVRURERKT6cDpYzJw5k3vuuYepU6c6vuCvXbuW6dOn89xzzzkGQgP4+/v/5b7S0tIYM2YMycnJBAQE0KZNGxYvXkz//v0BeOmllzAajYwcOZLCwkIGDhzI66+/7ni/m5sbP/74I3fddRfx8fH4+voyduxYpk+f7uxpSRlLzjrLR2uLr1bc379ptbgFSkREREQuzulgMWzYMABuuOEGx5dFu90OFM9Lce61wWDAav3rJ//MnTv3L9d7eXkxZ84c5syZc9FtYmJi+Omnn0pdv1SM6T/swmy10Tk2mG6NNG5FREREpLpzOlgsX768POqQamTxzhR+3pGCm9HA1Kta6mqFiIiISA3gdLC48sory6MOqSYsVhtPL9wFwB09G9Ai8q9vhxMRERGR6uGSJsgrKChg27ZtpKWlYbPZSqy7+uqry6QwqZq+23qSYxlnCfXz4J4+jV1djoiIiIhUEKeDxaJFixgzZgynT58+b11pxlVI9VVktfH68gMA/LNHA7w93FxckYiIiIhUFKOzb7j77ru5/vrrSU5OxmazlfijUFFzmYtsTPx4C4dO5xHoY+LWrjGuLklEREREKpDTVyxSU1OZPHky4eHh5VGPVEEFFiv/+mgzv+xJw8PNyAvXt8XP85LushMRERGRKsrpKxbXXXcdK1asKIdSpCqy2uzc8cEmftmThpfJyLtjO9K3uUKniIiISE3j9K+VX3vtNa6//np+++03Wrdufd6U4Pfcc0+ZFSeV35srD/LrvlP4eLjx3m2d6NpAc1aIiIiI1EROB4tPPvmEJUuW4OXlxYoVK0rMUWAwGBQsapCdJ7OYvXQfANOHt1KoEBEREanBnA4W//73v5k2bRqPPPIIRqPTd1JJNVFgsTLps61YrHYGtgxnZPu6ri5JRERERFzI6WBhNpu58cYbFSpqsGMZ+Ty3aA/7UnMJ9fNkxjWtNbu2iIiISA3ndDoYO3Ysn332WXnUIlXAvtQcBs7+lR+3JQPw3MjWhPh5urgqEREREXE1p69YWK1WZs2axeLFi2nTps15g7dffPHFMitOKp/Xlx8g32ylZaQ//x7anCsahrq6JBERERGpBJwOFtu3bycuLg6AHTt2lFin22GqtxOZZ/nhv1cqnr22Da3rBbi4IhERERGpLJwOFsuXLy+POqQKeGvlQaw2O/ENQhQqRERERKSESx6BfeDAARYvXszZs2cBsNvtZVaUVD6bjmbwwdqjAEzo3cjF1YiIiIhIZeN0sEhPT6dv3740adKEIUOGkJxcfGvM+PHjuf/++8u8QHG9XSezmfTZ79jtMLJ9Pbo31rgKERERESnJ6WAxadIkTCYTSUlJ+Pj4OJbfeOONLFq0qEyLE9f7cdtJrn5tFUkZ+UQGePHEsBauLklEREREKiGnx1gsWbKExYsXU69evRLLGzduzNGjR8usMHG9bcczuf/z3ymy2enXPJwZ17YiwMf0928UERERkRrH6WCRl5dX4krFORkZGXh6aj6D6qLAYuVfH22msMhGn2ZhvDW6A25GPfVLRERERC7M6VuhevTowYIFCxyvDQYDNpuNWbNm0bt37zItTlxn7qrDHD9zljoBXsy+qZ1ChYiIiIj8JaevWMyaNYu+ffuyceNGzGYzDz30EDt37iQjI4PVq1eXR41SwdKyC5iz/AAAjwxuhr+Xbn8SERERkb/m9BWLVq1asW/fPrp3787w4cPJy8vj2muvZcuWLTRs2LA8apQK9p/Fe8k3W4mLDuTqtpGuLkdEREREqgCnr1gkJSURFRXFv//97wuui46OLpPCxDW2H8/iy83HAXh8WAvNpi4iIiIipeL0FYvY2FhOnTp13vL09HRiY2PLpChxjQNpufzr403Y7TCiXSTto4NcXZKIiIiIVBFOX7Gw2+0X/C12bm4uXl5eZVKUVLzU7AKue3MNmfkWooN9mDKkuatLEhEREZEqpNTBYvLkyUDxU6Aef/zxEo+ctVqtrFu3jnbt2pV5gVIxnlm4m8x8C83r+PPh+M6E+OnRwSIiIiJSeqUOFlu2bAGKr1hs374dDw8PxzoPDw/atm3LAw88UPYVSrlbc/A03/9+EoMB/nNdG4UKEREREXFaqYPF8uXLARg3bhwvv/wy/v7+5VaUVByL1caT3+0E4NYuMbSqG+DiikRERESkKnJ6jMW8efPKow5xkfdXH2F/Wi7Bvh48MKCpq8sRERERkSrK6adCSfWRW1jEK8v2A/DIoGYE+GgiPBERERG5NAoWNdg3m4+TU1hEg1BfrutQz9XliIiIiEgVpmBRQ9ntdhYkHgVgdHwMRqMmwhMRERGRS6dgUUP9uv80+9Ny8fFwY6SuVoiIiIjIZVKwqIEKi6xM+6H4SVA3dYrG30tjK0RERETk8ihY1EBvrzzEoVN5hPp5cm+/xq4uR0RERESqAQWLGmZvSg6v/nIAgMeGNifAW1crREREROTyKVjUIEVWG/d/sRWz1UbfZmEMbxfp6pJEREREpJpQsKhBPt1wjB0nsgnwNjHz2tYYDHoSlIiIiIiUDQWLGiKvsIjZS4snw5vUrzFh/l4urkhEREREqhMFixpi3urDnM4tJCbEh1u6xLi6HBERERGpZhQsaoC8wiLeXXUYgMn9m+Dhrr92ERERESlb+oZZA3yyPonMfAv1Q3wY1kYDtkVERESk7ClYVHOFRVbe/vUQAHf1aoibUQO2RURERKTsKVhUc19tOkFaTiF1Ary4Jq6eq8sRERERkWrKpcFi5syZdOrUiVq1ahEWFsaIESPYu3dviW0KCgqYMGECISEh+Pn5MXLkSFJTU0tsk5SUxNChQ/Hx8SEsLIwHH3yQoqKiijyVSqnIauPNlQcBuKNnA42tEBEREZFy49JvmitXrmTChAmsXbuWhIQELBYLAwYMIC8vz7HNpEmT+OGHH/jiiy9YuXIlJ0+e5Nprr3Wst1qtDB06FLPZzJo1a5g/fz7vv/8+TzzxhCtOqVL5cVsySRn5BPt6cFOnaFeXIyIiIiLVmLsrD75o0aISr99//33CwsLYtGkTPXv2JCsri7lz5/Lxxx/Tp08fAObNm0fz5s1Zu3YtXbt2ZcmSJezatYulS5cSHh5Ou3bteOqpp3j44YeZOnUqHh4erjg1l7PZ7Ly+4gAA47vH4u3h5uKKRERERKQ6c2mw+LOsrCwAgoODAdi0aRMWi4V+/fo5tmnWrBnR0dEkJibStWtXEhMTad26NeHh4Y5tBg4cyF133cXOnTuJi4s77ziFhYUUFhY6XmdnZwNgsViwWCzlcm4VLWFXGvtSc/HzdOfmjpHV5rwqg3OfpT5TKS31jDhLPSPOUL+Is8qrVypNsLDZbNx3331069aNVq1aAZCSkoKHhweBgYEltg0PDyclJcWxzR9Dxbn159ZdyMyZM5k2bdp5y5cvX46Pj8/lnorL2ezwwnY3wEB8qJnffklwdUnVUkKCPldxjnpGnKWeEWeoX6S08vPzy2W/lSZYTJgwgR07drBq1apyP9aUKVOYPHmy43V2djZRUVH07t2bkJCQcj9+efti0wmOr92Jn6c7T43uTohvzbwdrLxYLBYSEhLo378/JpPJ1eVIFaCeEWepZ8QZ6hdxVnp6ernst1IEi4kTJ/Ljjz/y66+/Uq/e/x6JGhERgdlsJjMzs8RVi9TUVCIiIhzbrF+/vsT+zj016tw2f+bp6Ymnp+d5y00mU5X/gcwtLOLFpfsBuK9fYyICfV1cUfVVHfpFKpZ6RpylnhFnqF+ktMqrT1z6VCi73c7EiRP55ptv+OWXX4iNjS2xvkOHDphMJpYtW+ZYtnfvXpKSkoiPjwcgPj6e7du3k5aW5tgmISEBf39/WrRoUTEnUonMW3WY07lmYkN9GRNf39XliIiIiEgN4dIrFhMmTODjjz/mu+++o1atWo4xEQEBAXh7exMQEMD48eOZPHkywcHB+Pv7c/fddxMfH0/Xrl0BGDBgAC1atGD06NHMmjWLlJQUHnvsMSZMmHDBqxLVWdZZC+/8VjzL9qT+TTRvhYiIiIhUGJcGizfeeAOAXr16lVg+b948brvtNgBeeukljEYjI0eOpLCwkIEDB/L66687tnVzc+PHH3/krrvuIj4+Hl9fX8aOHcv06dMr6jQqjTdWHCS7oIgm4X4MbV3H1eWIiIiISA3i0mBht9v/dhsvLy/mzJnDnDlzLrpNTEwMP/30U1mWVuWsOXCat34tnmX7/gFNcTMaXFyRiIiIiNQkulemGtidnM3dn2zBbocbO0YxsOWFB62LiIiIiJSXSvFUKLl0e1KyufGtRLILimgZ6c/Uq1u6uiQRERERqYF0xaKKe+7nPWQXFNE+OpCPb++Kt4ebq0sSERERkRpIwaIK23Eii+V7T2E0wIs3tCPAW8+uFhERERHXULCowl79pXgivKvaRlI/VBPhiYiIiIjrKFhUUcv3prF4ZypGA0zo3cjV5YiIiIhIDadgUQXlFRbx2Dc7ABjXLZYm4bVcXJGIiIiI1HQKFlXQ0wt3cSLzLHUDvZncv4mryxERERERUbCoapbsTOGT9ccwGOA/17fB11NPDBYRERER11OwqEKyCyw89m3xLVB39GzAFQ1DXVyRiIiIiEgxBYsq5IXFe0nLKaRBqK9ugRIRERGRSkXBoopISs/ng7VHAXhqRCs83TURnoiIiIhUHgoWVcSCxCPY7NCzSW26NdItUCIiIiJSuShYVAH55iI+33gMgHFX1HdtMSIiIiIiF6BgUQV8t/Uk2QVFxIT4cGWT2q4uR0RERETkPAoWlZzdbmf+miMAjO4ag9FocG1BIiIiIiIXoGBRya0/nMGelBy8TW5c3yHK1eWIiIiIiFyQgkUlNz/xCAAj4uoS4GNybTEiIiIiIhehYFGJbTqawU/bUwAYe0WMi6sREREREbk4BYtKymK18e9vimfZvrFjFM0i/F1ckYiIiIjIxSlYVFLzVh9mT0oOQT4mHhnczNXliIiIiIj8JQWLSuj4mXxeStgPwKNDmhPk6+HiikRERERE/pqCRSU0a9FezlqsdI4N5roO9VxdjoiIiIjI31KwqGQy8sz8vCMZgCeGtcBg0LwVIiIiIlL5KVhUMt9tPYHFaqdVXX9a1Q1wdTkiIiIiIqWiYFHJfLHxOIAmwxMRERGRKkXBohLZknSGXcnZeLgZGd4u0tXliIiIiIiUmoJFJfL6ioMAXN0ukkAfPQlKRERERKoOBYtKYm9KDgm7UjEY4P+ubOjqckREREREnKJgUUm8sqx43oqBLSJoFObn4mpERERERJyjYFEJbEk6w8LtyRgMcG+/xq4uR0RERETEaQoWlcCzP+8BYGT7ejSv4+/iakREREREnKdg4WJbks6w7nAGHm5GJvdv4upyREREREQuiYKFi81ddRgofhJUZKC3i6sREREREbk0ChYudDLzLD/vSAHgH91iXVyNiIiIiMilU7BwoddXHMBqsxPfIIQWkRpbISIiIiJVl4KFixw5ncen648BMEljK0RERESkilOwcJHZS/dRZLPTq2ltOscGu7ocEREREZHLomDhAknp+Xz/+0kAHhjQ1MXViIiIiIhcPgULF3h31SFsdujZpDat6ga4uhwRERERkcumYFHBMvLMfL6xeGzF/13ZwMXViIiIiIiUDQWLCvblpmMUWGy0qutPfIMQV5cjIiIiIlImFCwqkM1m5+N1SQDc2iUGg8Hg4opERERERMqGgkUFSjyUzpH0fGp5unNV20hXlyMiIiIiUmYULCrQR+uOAjAiri6+nu4urkZEREREpOy4NFj8+uuvXHXVVURGRmIwGPj2229LrLfb7TzxxBPUqVMHb29v+vXrx/79+0tsk5GRwahRo/D39ycwMJDx48eTm5tbgWdROmk5BSzZmQrALV2iXVyNiIiIiEjZcmmwyMvLo23btsyZM+eC62fNmsUrr7zCm2++ybp16/D19WXgwIEUFBQ4thk1ahQ7d+4kISGBH3/8kV9//ZU77rijok6h1L7YeJwim5320YE0r+Pv6nJERERERMqUS+/HGTx4MIMHD77gOrvdzuzZs3nssccYPnw4AAsWLCA8PJxvv/2Wm266id27d7No0SI2bNhAx44dAXj11VcZMmQIzz//PJGRlWMcQ5HVxifriwdt39IlxsXViIiIiIiUvUp7o//hw4dJSUmhX79+jmUBAQF06dKFxMREbrrpJhITEwkMDHSECoB+/fphNBpZt24d11xzzQX3XVhYSGFhoeN1dnY2ABaLBYvFUubnsnB7CsfPnCXIx8TA5qHlcgypOOf+/vT3KKWlnhFnqWfEGeoXcVZ59UqlDRYpKSkAhIeHl1geHh7uWJeSkkJYWFiJ9e7u7gQHBzu2uZCZM2cybdq085YvX74cHx+fyy29BLsdnt/uBhjoElzALwmLy3T/4joJCQmuLkGqGPWMOEs9I85Qv0hp5efnl8t+K22wKE9Tpkxh8uTJjtfZ2dlERUXRu3dvQkLKdtK63w6c5vjazXibjEwf3YsgH48y3b9UPIvFQkJCAv3798dkMrm6HKkC1DPiLPWMOEP9Is5KT08vl/1W2mAREREBQGpqKnXq1HEsT01NpV27do5t0tLSSryvqKiIjIwMx/svxNPTE09Pz/OWm0ymMv+BfOe34kfM3tw5hrAA3zLdt7hWefSLVG/qGXGWekacoX6R0iqvPqm081jExsYSERHBsmXLHMuys7NZt24d8fHxAMTHx5OZmcmmTZsc2/zyyy/YbDa6dOlS4TX/2ZakMyQeSsfdaOCfPWJdXY6IiIiISLlx6RWL3NxcDhw44Hh9+PBhtm7dSnBwMNHR0dx33308/fTTNG7cmNjYWB5//HEiIyMZMWIEAM2bN2fQoEHcfvvtvPnmm1gsFiZOnMhNN91UKZ4I9ebKg0DxhHiRgd4urkZEREREpPy4NFhs3LiR3r17O16fG/cwduxY3n//fR566CHy8vK44447yMzMpHv37ixatAgvLy/Hez766CMmTpxI3759MRqNjBw5kldeeaXCz+XPDqTlsPi/E+L935UNXFyNiIiIiEj5cmmw6NWrF3a7/aLrDQYD06dPZ/r06RfdJjg4mI8//rg8yrssb608BMCAFuE0Cqvl4mpERERERMpXpR1jUZWdzDzLt1tPAPB/vRq6uBoRERERkfKnYFEO5q46jMVqp0tsMO2jg1xdjoiIiIhIuVOwKGOZ+WY+WZ8EwF26WiEiIiIiNYSCRRlbkHiUfLOV5nX8ubJJbVeXIyIiIiJSIRQsylC+uYh5qw8DxVcrDAaDiysSEREREakYChZl6PMNxziTbyE62IchrS4+87eIiIiISHWjYFFGLFYb7/xWfLXijp4NcHfTRysiIiIiNYe+/ZaRH34/yYnMs4T6eXBdh3quLkdEREREpEIpWJQBm83OmysPAjCuWyxeJjcXVyQiIiIiUrEULMrAL3vS2Jeai5+nO7d2jXF1OSIiIiIiFU7Bogy88d+rFaO6RhPgbXJxNSIiIiIiFU/B4jJtOJLBpqNn8HAzMr5brKvLERERERFxCQWLy/TmiuKrFSM71CPM38vF1YiIiIiIuIaCxWVIzjrLL3vTALi9h65WiIiIiEjNpWBxGb7dchK7HTrXD6ZBbT9XlyMiIiIi4jLuri6gqrLb7Xy1+TgA17av6+JqRERE5Byr1YrFYnF1GRXGYrHg7u5OQUEBVqvV1eVIJWAymXBzq/jpDxQsLtHWY5kcSMvF093IkDZ1XF2OiIhIjWe320lJSSEzM9PVpVQou91OREQEx44dw2AwuLocqSQCAwOJiIio0J5QsLhE7/52GIChberg76VHzIqIiLjauVARFhaGj49PjfmSbbPZyM3Nxc/PD6NRd7nXdHa7nfz8fNLSiscB16lTcb8AV7C4BEdO5/HzjmQA7ujZwMXViIiIiNVqdYSKkJAQV5dToWw2G2azGS8vLwULAcDb2xuAtLQ0wsLCKuy2KHXfJXj7t0PY7NC7aW2aRfi7uhwREZEa79yYCh8fHxdXIlI5nPtZqMjxRgoWTjqVU8iXm4oHbf/flQ1dXI2IiIj8UU25/Unk77jiZ0HBwknvrzmMuchGu6hAOscGu7ocEREREZFKQcHCCbmFRXyQeBQovlqh34qIiIhIeTty5AgGg4GtW7e65PgrVqzAYDDUmKdtGQwGvv32W1eXUSUpWDjhg8SjZBcU0aC2LwNahLu6HBEREREpBavVis1mq9Bjms3mCj1eZaBgUUpnzVbmrjoEwIRejTAadbVCRERELt+iRYvo3r07gYGBhISEMGzYMA4ePOhYHxsbC0BcXBwGg4FevXoBxU+Dmj59OtHR0YSHh9O+fXsWLVrkeN+5Kx2ff/45PXr0wNvbm06dOrFv3z42bNhAx44d8fPzY/DgwZw6deqCtR05coTevXsDEBQUhMFg4LbbbnMcf+bMmcTGxuLt7U3btm358ssvHe89d6Vj8eLFxMXF4e3tTZ8+fUhLS+Pnn3+mefPm+Pv7c8stt5Cfn+94X69evZg4cSITJ04kICCA0NBQHn/8cex2u2ObwsJCHnjgAerWrYuvry9dunRhxYoVjvXvv/8+gYGBfP/997Ro0QJPT0+SkpLYsGED/fv3JzQ0lICAAK688ko2b97seF/9+vUBuOaaazAYDI7Xt912GyNGjCjx2dx3332Ov4s/1n3fffcRGhrKwIEDAdixYweDBw/Gz8+P8PBwRo8ezenTpy/4eVd1Chal9OmGJE7nmqkX5M3V7SJdXY6IiIj8DbvdTr65qML//PELcGnk5eUxefJkNm7cyLJlyzAajVxzzTWO37CvX78egKVLl5KcnMzXX38NwMsvv8wLL7zArFmzWLVqFQMGDODqq69m//79Jfb/5JNP8thjj7F582bc3d255ZZbeOihh3j55Zf57bffOHDgAE888cQFa4uKiuKrr74CYO/evSQnJ/Pyyy8DMHPmTBYsWMCbb77Jzp07mTRpErfeeisrV64ssY+pU6fy2muvsWbNGo4dO8YNN9zA7Nmz+fjjj1m4cCFLlizh1VdfLfGe+fPn4+7uzvr163n55Zd58cUXeffddx3rJ06cSGJiIp9++inbtm3j+uuvZ9CgQSXOPT8/n+eee453332XnTt3EhYWRk5ODmPHjmXVqlWsXbuWxo0bM2TIEHJycgDYsGEDAPPmzSM5OdnxurTmz5+Ph4cHq1ev5s033yQzM5M+ffoQFxfHxo0bWbRoEampqdxwww1O7beq0DwWpVBYZOXtX4uvVtzVqyEmN+UxERGRyu6sxUqLJxZX+HF3TR+Ij0fpv2KNHDmyxOv33nuP2rVrs2vXLlq1akXt2rUBCAkJISIiwrHd888/z8MPP8xNN91EdnY2zz77LCtWrGD27NnMmTPHsd0DDzzg+O35vffey80338yyZcvo1q0bAOPHj+f999+/YG1ubm4EBxc/rCYsLIzAwECg+IrBjBkzWLp0KfHx8QA0aNCAVatW8dZbb3HllVc69vH000+XONaUKVM4ePAgDRoUzwV23XXXsXz5ch5++GHHe6KionjppZcwGAw0bdqU7du389JLL3H77beTlJTEvHnzSEpKIjIy0nGOixYtYt68ecyYMQMofszq66+/Ttu2bR377dOnT4nze/vttwkMDGTlypUMGzbM8Vmfm7XaWY0bN2bWrFklzj0uLs5RExT//UZFRbFv3z6aNGni9DEqMwWLUvh68wmSswoI9/fkug71XF2OiIiIVCP79+/niSeeYN26dZw+fdpxpSIpKYlWrVpd8D3Z2dmcPHnS8YX9nG7duvH777+XWNamTRvHf4eHF48Rbd26dYll52ZpLq0DBw6Qn59P//79Syw3m83ExcX95fF9fHwcoeLcsnNXZc7p2rVriYfkxMfH88ILL2C1Wtm+fTtWq/W8L+WFhYUlJkf08PAocWyA1NRUHnvsMVasWEFaWhpWq5X8/HySkpKcOv+L6dChQ4nXv//+O8uXL8fPz++8bQ8ePKhgUdPYbHbeXFl8n+MdPRvi6V4xMxeKiIjI5fE2ubFr+kCXHNcZV111FTExMbzzzjtERkZis9lo1apVmQ3+NZlMjv8+92X9z8ucHdicm5sLwMKFC6lbt26JdZ6enn95/D++vpTj5+bm4ubmxqZNm86bUfqPX+C9vb3Pe4Ln2LFjSU9P5+WXXyYmJgZPT0/i4+P/9rM2Go3n3eJ2oYnnfH19z6v1qquu4rnnnjtv2zp16vzlMasiBYu/sXL/KY6m5+Pv5c7NnaNcXY6IiIiUksFgcOqWJFdIT09n7969vPPOO/To0QOAVatWldjGw8MDKH6y0Tn+/v5ERkayevVqx/sAVq9eTefOncu0xgsd/48Dov9421NZWbduXYnX58ZDuLm5ERcXh9VqJS0trcS5l8bq1at5/fXXGTJkCADHjh07byC1yWQqca4AtWvXZseOHSWWbd269byQ9Gft27fnq6++on79+ri7V+5eLAsaLPA3PvzvvBXXdYiq9P84iYiISNUSFBRESEgIb7/9NgcOHOCXX35h8uTJJbYJCwvD29vbMfA3KysLgAcffJDnnnuOzz77jP379zNlyhS2bt3KvffeW6Y1xsTEYDAY+PHHHzl16hS5ubnUqlWLBx54gEmTJjF//nwOHjzI5s2befXVV5k/f/5lHzMpKYnJkyezd+9ePvnkE1599VXHeTVp0oRRo0YxZswYvv76aw4fPsz69euZOXMmCxcu/Mv9Nm7cmA8++IDdu3ezbt06Ro0ahbe3d4lt6tevz7Jly0hJSeHMmTNA8diMjRs3smDBAvbv38+TTz55XtC4kAkTJpCRkcHNN9/Mhg0bOHjwIIsXL2bcuHHnhZfqQMHiLxzLyOeXvcX3HI7qGu3iakRERKS6MRqNfPrpp2zatIlWrVoxadIk/vOf/5TYxt3dnVdeeYW33nqLyMhIhg8fDsA999zD5MmTefDBB+nWrRuLFy/m+++/p3HjxmVaY926dZk2bRqPPPII4eHhTJw4EYCnnnqKxx9/nJkzZ9K8eXMGDRrEwoULHY/HvRxjxozh7NmzdO7cmQkTJnDvvfdyxx13ONbPmzePMWPGcP/999O0aVNGjBjBhg0biI7+6+9rc+fO5cyZM7Rv357Ro0dzzz33EBYWVmKbF154gYSEBKKiohzjRQYOHMjjjz/OQw89RKdOncjJyWHMmDF/ex7nripZrVYGDBhA69atue+++wgMDMRorH5fww12Z5+JVg1lZ2cTEBDA6dOnSwz6mbVoD6+vOEj3RqF8+M8uLqxQKhOLxcJPP/3EkCFD/vYSqAioZ8R56hnnFRQUcPjwYWJjY/Hy8nJ1ORXKZrORnZ2Nv79/tfiy2qtXL9q1a8fs2bNdXUqV9lc/E+np6YSGhpKVlYW/v3+ZHbPqd185KSyy8tmGYwDc2jXGxdWIiIiIiFRuChYXsWhHCul5ZiL8vejXPOzv3yAiIiIiUoNpNPJFfPDfQds3d47GXRPiiYiIiFSIFStWuLoEuUT6xnwBu5Oz2Xj0DO5GAzfpEbMiIiIiIn9LweICPlxbfLViYMsIwv1r1gAwEREREZFLoWDxJzkFFr7ZcgLQI2ZFREREREpLweJPvtlygnyzlYa1fYlvEPL3bxAREREREQWLP7Lb7Y7boEZ3LZ5lUkRERERE/p6CxR9sPpbJvtRcvE1uXNuhnqvLERERERGpMhQs/uCLjcVjK0bEReLvpZlORUREpGbq1asX9913n6vLkCpGweIPlu05BWimbREREak4t912GwaDAYPBgMlkIjw8nP79+/Pee+9hs9lcXV6ZWrFiBQaDgczMTFeXUiEMBgPffvutq8uoMAoWf1Bks9M+OpCWkQGuLkVERERqkEGDBpGcnMyRI0f4+eef6d27N/feey/Dhg2jqKjI1eU5zWq1VrtQdI4rzs1sNlfo8S5VtQkWc+bMoX79+nh5edGlSxfWr19/SfsZHa+rFSIiIlKxPD09iYiIoG7durRv355HH32U7777jp9//pn333/fsV1SUhLDhw/Hz88Pf39/brjhBlJTUx3rp06dSrt27XjrrbeIiorCx8eHG264gaysLMc2t912GyNGjGDatGnUrl0bf39//u///u8vv7wWFhbywAMPULduXXx9fenSpUuJGbLff/99AgMD+f7772nRogWenp4kJSWV2MeRI0fo3bs3AEFBQRgMBm677TYAbDYbM2fOJDY2Fm9vb9q2bcuXX37peO+5Kx2LFy8mLi4Ob29v+vTpQ1paGj///DPNmzfH39+fW265hfz8fMf7evXqxcSJE5k4cSIBAQGEhoby+OOPY7fbL/vcNmzYQP/+/QkNDSUgIIArr7ySzZs3O95Xv359AK655hoMBoPj9bnP/4/uu+8+evXqdV7d9913H6GhoQwcOBCAHTt2MHjwYPz8/AgPD2f06NGcPn36on9vFa1aBIvPPvuMyZMn8+STT7J582batm3LwIEDSUtLc2o/gd7uDG5Vp5yqFBEREZcw51XcnzLUp08f2rZty9dffw0Uf/kePnw4GRkZrFy5koSEBA4dOsTNN99c4n0HDhzg888/54cffmDRokVs2bKFf/3rXyW2WbZsGbt372bFihV88sknfP3110ybNu2itUycOJHExEQ+/fRTtm3bxvXXX8+gQYPYv3+/Y5v8/Hyee+453n33XXbu3ElYWFiJfURFRfHVV18BsHfvXpKTk3n55ZcBmDlzJgsWLODNN99k586dTJo0iVtvvZWVK1eW2MfUqVN57bXXWLNmDceOHeOGG25g9uzZfPzxxyxcuJAlS5bw6quvlnjP/PnzcXd3Z/369bz88su8+OKLvPvuu5d9bjk5OYwdO5ZVq1axdu1aGjduzJAhQ8jJyQFgw4YNAMybN4/k5GTH69KaP38+Hh4erF69mjfffJPMzEz69OlDXFwcGzduZNGiRaSmpnLDDTc4td/y5O7qAsrCiy++yO233864ceMAePPNN1m4cCHvvfcejzzySKn3M7xdJF4mt/IqU0RERFxhRmTFHWtq1t9v44RmzZqxbds2oDgMbN++ncOHDxMVFQXAggULaNmyJZs3b3b8xrugoIAFCxZQt25dAF599VWGDh3KCy+8QEREBAAeHh689957+Pj40LJlS6ZPn86DDz7IU089hdFY8vfOSUlJzJs3j6SkJCIjiz/LBx54gEWLFjFv3jxmzJgBgMVi4fXXX6dt27YXPBc3NzeCg4MBCAsLIzAwECi+YjBjxgyWLl1KfHw8AA0aNGDVqlW89dZbXHnllY59PP3003Tr1g2A8ePHM2XKFA4ePEiDBg0AuO6661i+fDkPP/yw4z1RUVG89NJLGAwGmjZtyvbt23nppZe4/fbbL+vc+vTpU+L83n77bQIDA1m5ciXDhg2jdu3aAAQGBjo+d2c0btyYWbNmlTj3uLg4R00A7733HlFRUezbt48mTZo4fYyyVuWDhdlsZtOmTUyZMsWxzGg00q9fPxITEy/4nsLCQgoLCx2vs7OzARjRJhyLxVK+BUuVd65H1CtSWuoZcZZ6xnkWiwW73Y7NZjvv/veKvD3jUu69t9vtjtovtD+DwYDNZmPXrl1ERUVRt25dx7bNmjUjMDCQffv2ceWVV2K324mOjqZOnTqObbp06YLNZmP37t2EhYVht9tp27YtXl5eJbbJzc3l6NGjxMTEOOqy2Wz8/vvvWK3W8764FhYWEhwc7PjMPTw8aNWq1V9+BufW/fHvad++feTn59O/f/8S25rNZuLi4kps+8f9165dGx8fH+rXr+9YFhYWxvr160vU0KVLF8dnfO71Cy+8gMViuaxzS01N5fHHH2flypWkpaVhtVrJz8/n6NGjJbb7c09e6O/7XG1/XNa+ffsSr7du3cry5cvx8/M773Pdv38/jRo1Ou+zttvtWCwW3NxK/uK8vP5tqfLB4vTp01itVsLDw0ssDw8PZ8+ePRd8z8yZMy94uW/flkSO7/Uplzql+klISHB1CVLFqGfEWeqZ0nN3dyciIoLc3NzzxwpM2F1xhfz3l5XOsFgsFBUVOX7R+Uc7d+6kXr16ZGdnU1BQgM1mO2+7c19Kc3JyKCwsPG+bc/+dn59Pdnb2BY+Xm5vr2Ed2djZFRUWYzWays7M5deoUbm5uLF++/LwvqL6+vo7avLy8HLcBXcy58Q85OTmOKyPnxoh89tln1KlT8pZ0Dw8PsrOzHe8rKChw1F1YWIi7u3uJ8zCbzVgsFseyoqKiEq8Bzp496/hcLufcRo8eTUZGBs888wxRUVF4enoyYMAAsrOzzzveH19brdbzasrLyyvxd1JUVITJZCqxTWZmJoMGDWLq1Knnfa7h4eHn9YXZbObs2bP8+uuv5z0A4I/jUMpSlQ8Wl2LKlClMnjzZ8To7O5uoqCh69+5NSEiICyuTqsBisZCQkED//v0xmTTfifw99Yw4Sz3jvIKCAo4dO4afnx9eXl5/WuvvkppKy2Qy4e7ujr9/yTp/+eUXdu3axeTJk/H396ddu3acOHGCrKwsx61Qu3btIisri6ZNm1KrVi08PT05fvw4ubm5jlt7EhMTMRqNxMXF4e/vj8lkYufOnZhMJry9vYHiQcF+fn60aNECo9GIu7s7Hh4e+Pv7c8UVVzh+G9+jR48LnoOXlxcGg+G8c/izc7c/+fj4OLbt1KkTnp6enD59msGDB1/wfT4+xb/4rVWrluN9Fzqmp6cnbm5ujmXu7u5s2bKlxDbbtm2jcePGBAUFXda5rVu3jtdee43rrrsOgGPHjpGeno6Xl5djW5PJ5Pgcz4mMjGTfvn0llu3evRuTyVSi7j+/r3Pnznz99de0atUKd/e//wpfUFCAt7c3PXv2PO9nIj09/W/ffymqfLAIDQ3Fzc2txBMRoDj9Xux+Nk9PTzw9Pc9bbjKZ9A+4lJr6RZylnhFnqWdKz2q1YjAYMBqN540RqOwMBgNms9lxO01qaiqLFi1i5syZDBs2jNtuuw2j0ciAAQNo3bo1o0ePZvbs2RQVFfGvf/2LK6+8kri4OMdcGF5eXowbN47nn3+e7Oxs7rvvPm644QZH0Dh3vNtvv53HHnuMI0eOMG3aNCZOnFjiC+u5z7NZs2aMGjWK2267jRdeeIG4uDhOnTrFsmXLaNOmDUOHDnV85n/32cfGxmIwGPjpp58YMmQI3t7eBAQE8MADD3D//fcD0L17d7Kysli9ejX+/v6MHTu2xP7/fKw/HtNgMJy3LCkpiQceeIA777yTzZs389prr/HCCy9c9rk1btyYjz76iM6dO5Odnc2DDz6It7e343OD4idDLV++nB49euDp6UlQUBB9+/bl+eef58MPPyQ+Pp4PP/yQHTt2EBcXd965/PH1xIkTeffddxk1ahQPPfQQwcHBHDhwgE8//ZR33333vCsuRqPRMTfKn/8dKa9/V6rWT94FeHh40KFDB5YtW+ZYZrPZWLZsmWMAkIiIiEhltmjRIurUqUP9+vUZNGgQy5cv55VXXuG7775zfGE0GAx89913BAUF0bNnT/r160eDBg345JNPSuyrUaNGXHvttQwZMoQBAwbQpk0bXn/99RLb9O3bl8aNG9OzZ09uvPFGrr766gveYnPOvHnzGDNmDPfffz9NmzZlxIgRbNiwgejoaKfOs27dukybNo1HHnmE8PBwJk6cCMBTTz3F448/zsyZM2nevDmDBg1i4cKFxMbGOrX/CxkzZgxnz56lc+fOTJgwgXvvvZc77rjjss9t7ty5nDlzhvbt2zN69Gjuueee856E9cILL5CQkEBUVBRxcXEADBw4kMcff5yHHnqITp06kZOTw5gxY/72PCIjI1m9ejVWq9URMu+77z4CAwMrTZg22P/4IN8q6rPPPmPs2LG89dZbdO7cmdmzZ/P555+zZ8+e88ZeXEh2djYBAQGcPn1at0LJ37JYLI7ftOg3iVIa6hlxlnrGeQUFBRw+fJjY2NgL3ApVvZ0bU+Hv78/06dP59ttv2bp160W3v+2228jMzKwRM0L36tWLdu3aMXv2bFeXUuH+6mciPT2d0NBQsrKy/vb2NWdU+VuhAG688UZOnTrFE088QUpKCu3atWPRokWlChUiIiIiInL5qkWwAByzKoqIiIiISMWrNsFCREREpKabOnXqX46VAHj//fcrpJbKYMWKFa4uoUapHCM9RERERESkSlOwEBERERGRy6ZgISIiItVGNXjYpUiZcMXPgoKFiIiIVHnnHsubn5/v4kpEKodzPwsV+chqDd4WERGRKs/NzY3AwEDS0tIA8PHxcczCXN3ZbDbMZjMFBQWVZqI0cR273U5+fj5paWkEBgaeNyN3eVKwEBERkWohIiICwBEuagq73c7Zs2fx9vauMWFK/l5gYKDjZ6KiKFiIiIhItWAwGKhTpw5hYWFYLBZXl1NhLBYLv/76Kz179tRM7QIU3/5UkVcqzlGwEBERkWrFzc3NJV+qXMXNzY2ioiK8vLwULMSldCOeiIiIiIhcNgULERERERG5bAoWIiIiIiJy2TTGgv9NIJKTk6N7E+VvWSwW8vPzyc7OVr9IqahnxFnqGXGG+kWclZOTA5T9JHoKFkB6ejoAsbGxLq5ERERERKRipKenExAQUGb7U7AAgoODAUhKSirTD1eqp+zsbKKiojh27Bj+/v6uLkeqAPWMOEs9I85Qv4izsrKyiI6OdnwHLisKFuCYpTIgIEA/kFJq/v7+6hdxinpGnKWeEWeoX8RZZT1TuwZvi4iIiIjIZVOwEBERERGRy6ZgAXh6evLkk0/i6enp6lKkClC/iLPUM+Is9Yw4Q/0iziqvnjHYy/o5UyIiIiIiUuPoioWIiIiIiFw2BQsREREREblsChYiIiIiInLZakywmDNnDvXr18fLy4suXbqwfv36v9z+iy++oFmzZnh5edG6dWt++umnCqpUKgNn+mXnzp2MHDmS+vXrYzAYmD17dsUVKpWGMz3zzjvv0KNHD4KCgggKCqJfv35/+2+SVD/O9MzXX39Nx44dCQwMxNfXl3bt2vHBBx9UYLXias5+jznn008/xWAwMGLEiPItUCodZ3rm/fffx2AwlPjj5eXl9DFrRLD47LPPmDx5Mk8++SSbN2+mbdu2DBw4kLS0tAtuv2bNGm6++WbGjx/Pli1bGDFiBCNGjGDHjh0VXLm4grP9kp+fT4MGDXj22WeJiIio4GqlMnC2Z1asWMHNN9/M8uXLSUxMJCoqigEDBnDixIkKrlxcxdmeCQ4O5t///jeJiYls27aNcePGMW7cOBYvXlzBlYsrONsv5xw5coQHHniAHj16VFClUllcSs/4+/uTnJzs+HP06FHnD2yvATp37myfMGGC47XVarVHRkbaZ86cecHtb7jhBvvQoUNLLOvSpYv9zjvvLNc6pXJwtl/+KCYmxv7SSy+VY3VSGV1Oz9jtdntRUZG9Vq1a9vnz55dXiVLJXG7P2O12e1xcnP2xxx4rj/KkkrmUfikqKrJfccUV9nfffdc+duxY+/DhwyugUqksnO2ZefPm2QMCAi77uNX+ioXZbGbTpk3069fPscxoNNKvXz8SExMv+J7ExMQS2wMMHDjwottL9XEp/SI1W1n0TH5+PhaLheDg4PIqUyqRy+0Zu93OsmXL2Lt3Lz179izPUqUSuNR+mT59OmFhYYwfP74iypRK5FJ7Jjc3l5iYGKKiohg+fDg7d+50+tjVPlicPn0aq9VKeHh4ieXh4eGkpKRc8D0pKSlObS/Vx6X0i9RsZdEzDz/8MJGRkef9QkOqp0vtmaysLPz8/PDw8GDo0KG8+uqr9O/fv7zLFRe7lH5ZtWoVc+fO5Z133qmIEqWSuZSeadq0Ke+99x7fffcdH374ITabjSuuuILjx487dWz3S65aREQu27PPPsunn37KihUrLmmgnNQctWrVYuvWreTm5rJs2TImT55MgwYN6NWrl6tLk0okJyeH0aNH88477xAaGurqcqSKiI+PJz4+3vH6iiuuoHnz5rz11ls89dRTpd5PtQ8WoaGhuLm5kZqaWmJ5amrqRQfaRkREOLW9VB+X0i9Ss11Ozzz//PM8++yzLF26lDZt2pRnmVKJXGrPGI1GGjVqBEC7du3YvXs3M2fOVLCo5pztl4MHD3LkyBGuuuoqxzKbzQaAu7s7e/fupWHDhuVbtLhUWXyXMZlMxMXFceDAAaeOXe1vhfLw8KBDhw4sW7bMscxms7Fs2bISyeyP4uPjS2wPkJCQcNHtpfq4lH6Rmu3/27v70Br/P47jr7M7zhyZ+22yLbLNSBsykVi5F7mZJotQ/DFSmAgxRG4mN/8IZVuk84dFEcOWLawkjQ7T6GiOu6FM5qbhnM/vj1/f83W+fH1/53dtO36/PR91/XGufa7P+/O5+nTV61zXtfPfrpk9e/Zo+/btKisr0/Dhw9tiqPhNtNR1xufzqbm5uTWGiN9IsOslNTVVLpdLd+7c8W8zZsxQVlaW7ty5o759+7bl8BECLXGN8Xq9crlciouLC6645de//wc4nU7ToUMHU1xcbGpra82yZctMTEyMaWhoMMYYs2DBArN+/Xp/+xs3bpiIiAhTWFhoHjx4YLZs2WIiIyONy+UK1RTQhoJdL83NzaampsbU1NSYuLg4k5+fb2pqasyjR49CNQW0sWDXzK5du0xUVJQ5ffq0efnypX9ramoK1RTQxoJdMzt37jSXL182brfb1NbWmsLCQhMREWGOHTsWqimgDQW7Xv6K/wrV/gS7ZrZu3WouXbpk3G63uX37tpk3b57p2LGjuX//flB1/+8fhZKknJwcvXnzRps3b1ZDQ4PS09NVVlbmf6nF4/EoLOzPmzejRo3SqVOntGnTJm3YsEEDBgzQ2bNnNXjw4FBNAW0o2PXy4sULZWRk+D8XFhaqsLBQY8eOVWVlZVsPHyEQ7Jo5fPiwvnz5ouzs7IB+tmzZooKCgrYcOkIk2DXz8eNH5eXl6dmzZ7Lb7UpNTdXJkyeVk5MTqimgDQW7XoBg10xjY6OWLl2qhoYGde3aVcOGDVN1dbXS0tKCqmszxpgWnQkAAACAdod4CwAAAMAyggUAAAAAywgWAAAAACwjWAAAAACwjGABAAAAwDKCBQAAAADLCBYAAAAALCNYAAAAALCMYAEAAADAMoIFACBAZWWlbDab3r17F5L6FRUVGjhwoLxeb6vVGDlypEpLS1utfwBoj2zGGBPqQQAAQmPcuHFKT0/XgQMH/Pu+fPmit2/fqnfv3rLZbG0+pmHDhmn16tXKzc1ttRrnz5/XqlWrVFdXp7AwvmMDgJbA1RQAECAqKkqxsbEhCRXXr1+X2+3WnDlzWrXOlClT1NTUpIsXL7ZqHQBoTwgWANBOLVq0SFVVVTp48KBsNptsNpvq6+t/eBSquLhYMTExOn/+vFJSUhQdHa3s7Gx9+vRJJSUlSkpKUteuXbVy5cqAx5eam5uVn5+vPn36qFOnTsrMzFRlZeUvx+R0OjVhwgR17NjRv6+goEDp6ek6fvy4EhIS5HA4lJeXJ6/Xqz179ig2Nla9evXSjh07/McYY1RQUKCEhAR16NBB8fHxWrlypf/v4eHhmjp1qpxOZ8ucTACAIkI9AABAaBw8eFAPHz7U4MGDtW3bNklSz549VV9f/0PbT58+6dChQ3I6nWpqatLs2bM1a9YsxcTE6MKFC3r8+LHmzJmj0aNHKycnR5K0YsUK1dbWyul0Kj4+XmfOnNHkyZPlcrk0YMCAn47p2rVrmj9//g/73W63Ll68qLKyMrndbmVnZ+vx48dKTk5WVVWVqqurtWTJEo0fP16ZmZkqLS3V/v375XQ6NWjQIDU0NOju3bsBfY4YMUK7du2yeBYBAH8gWABAO9WlSxdFRUUpOjpasbGxv2z79etXHT58WP3795ckZWdn68SJE3r16pUcDofS0tKUlZWlq1evKicnRx6PR0VFRfJ4PIqPj5ck5efnq6ysTEVFRdq5c+dP6zx58sTf/ns+n0/Hjx9X586d/bXq6up04cIFhYWFKSUlRbt379bVq1eVmZkpj8ej2NhYjR8/XpGRkUpISNCIESMC+oyPj9fTp0/l8/l4zwIAWgBXUgDAP4qOjvaHCknq3bu3kpKS5HA4Ava9fv1akuRyueT1epWcnCyHw+Hfqqqq5Ha7/7bO58+fAx6D+kNSUpI6d+4cUCstLS0gEHxff+7cufr8+bP69eunpUuX6syZM/r27VtAn3a7XT6fT83NzUGeDQDAz3DHAgDwjyIjIwM+22y2n+7z+XySpA8fPig8PFy3b99WeHh4QLvvw8hf9ejRQ42NjZbr9+3bV3V1dSovL9eVK1eUl5envXv3qqqqyn/c27dv1alTJ9nt9l9NHQDwHyJYAEA7FhUV1Sq/F5GRkSGv16vXr19rzJgxQR1XW1vbImOw2+2aPn26pk+fruXLlys1NVUul0tDhw6VJN27d08ZGRktUgsAQLAAgHYtKSlJN2/eVH19vRwOh7p169Yi/SYnJys3N1cLFy7Uvn37lJGRoTdv3qiiokJDhgzRtGnTfnrcpEmTVFJSYrl+cXGxvF6vMjMzFR0drZMnT8putysxMdHf5tq1a5o4caLlWgCAf+MdCwBox/Lz8xUeHq60tDT17NlTHo+nxfouKirSwoULtWbNGqWkpGjmzJm6deuWEhIS/vaY3Nxc3b9/X3V1dZZqx8TE6NixYxo9erSGDBmi8vJynTt3Tt27d5ckPX/+XNXV1Vq8eLGlOgCAP/HL2wCA38ratWv1/v17HTlypNVqrFu3To2NjTp69Gir1QCA9oY7FgCA38rGjRuVmJjofxG7NfTq1Uvbt29vtf4BoD3ijgUAAAAAy7hjAQAAAMAyggUAAAAAywgWAAAAACwjWAAAAACwjGABAAAAwDKCBQAAAADLCBYAAAAALCNYAAAAALCMYAEAAADAsn8BReWx4C3bLlkAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# - CHECK RESULT\n", "# extract temperature from speed\n", "v = res.y[:, 3:6, :] # we take only the speed vector\n", "v_norm = np.linalg.norm(v, axis=1)\n", "T = Ytterbium().mass * np.mean(v_norm**2, axis=0) / csts.k / 3\n", "# compute Doppler temperature\n", "T_Doppler = main.get_Doppler_temperature(delta)\n", "# plot\n", "plt.figure(figsize=(8, 5))\n", "plt.plot(res.t * 1e3, T * 1e6, label=\"atom temperature\")\n", "plt.hlines(\n", " T_Doppler * 1e6, 0, res.t.max() * 1e3, color=\"C1\", label=\"Doppler temperature\"\n", ")\n", "plt.xlim(0, res.t.max() * 1e3)\n", "plt.grid()\n", "plt.legend(loc=\"lower right\")\n", "plt.xlabel(\"time (ms)\")\n", "plt.ylabel(\"temperature (µK)\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3856d6bd", "metadata": {}, "source": [ "### Scanning the detuning\n", "\n", "We now scan the detuning to see the evolution of the atom's temperature. Since the scattering rate is also impacted, we need to adjust the integration time accordingly." ] }, { "cell_type": "code", "execution_count": 6, "id": "7d618a0e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "+ delta = -0.2 Gamma | Tmax = 0.80 ms\n", "+ delta = -0.4 Gamma | Tmax = 1.12 ms\n", "+ delta = -0.6 Gamma | Tmax = 1.65 ms\n", "+ delta = -0.8 Gamma | Tmax = 2.39 ms\n", "+ delta = -1.0 Gamma | Tmax = 3.34 ms\n", "+ delta = -1.2 Gamma | Tmax = 4.50 ms\n", "+ delta = -1.4 Gamma | Tmax = 5.87 ms\n", "+ delta = -1.6 Gamma | Tmax = 7.46 ms\n", "+ delta = -1.8 Gamma | Tmax = 9.26 ms\n", "+ delta = -2.0 Gamma | Tmax = 11.27 ms\n" ] } ], "source": [ "# - PREPARE SIMULATION\n", "delta_list = -np.linspace(0.2, 2, 10) * main.Gamma\n", "v0 = np.array([0, 0, 0])\n", "N_samples = 2_000\n", "N_photons = 3_000 # number of scattered photons per beam\n", "N_steps = 600\n", "\n", "# - RUN\n", "u0 = np.zeros(shape=(N_samples, 6))\n", "T_list = []\n", "for delta in delta_list:\n", " # simulation settings\n", " scatt_rate = main.get_scattering_rate(main.Isat * s0, 0, [1, 0, 0], delta)\n", " Tmax = N_photons / scatt_rate\n", " # print\n", " print(f\"+ delta = {delta / main.Gamma:.1f} Gamma | Tmax = {Tmax * 1e3:.2f} ms\")\n", " # update config\n", " config.reset_atomlight_coupling()\n", " for laser in config.list_lasers():\n", " config.add_atomlight_coupling(laser=laser, transition=\"main\", detuning=delta)\n", " # simulate\n", " t = np.linspace(0, Tmax, N_steps)\n", " sim = RK4St(config)\n", " res = sim.integrate(u0,t)\n", " # compute temperature\n", " v = res.y[:, 3:6, :] # we take only the speed vector\n", " v_norm = np.linalg.norm(v, axis=1)\n", " T = Ytterbium().mass * np.mean(v_norm**2, axis=0) / csts.k / 3\n", " # store\n", " T_list.append(T)\n", "\n", "\n", "T_list = np.array(T_list)" ] }, { "cell_type": "code", "execution_count": 7, "id": "8b94cfac", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# - PLOT\n", "# theory settings\n", "delta_plot = -np.linspace(0.1, 2.2, 1000) * main.Gamma\n", "T_mean = np.mean(T_list[:, -150:], axis=1)\n", "T_std = np.std(T_list[:, -150:], axis=1)\n", "\n", "# figure\n", "fig, ax = plt.subplots(1, 2, figsize=(9,4), tight_layout=True)\n", "# plot temperature evolution\n", "ax[0].plot(T_list.T * 1e3)\n", "ax[0].set_xlabel(\"integration step\")\n", "ax[0].set_xlim(0, N_steps)\n", "# plot final temperature\n", "ax[1].plot(delta_plot / main.Gamma, main.get_Doppler_temperature(delta_plot) * 1e3)\n", "ax[1].errorbar(delta_list / main.Gamma, T_mean * 1e3, yerr= T_std * 1e3, fmt=\"o\")\n", "ax[1].set_xlabel(\"detuning (units of $\\Gamma$)\")\n", "# final setup\n", "for cax in ax:\n", " cax.set_ylabel(\"temperature (mK)\")\n", " cax.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7dde003f", "metadata": {}, "source": [ "### Bonus : test vectorization overhead\n", "\n", "Let's check how adding more atoms impacts the simulation performances" ] }, { "cell_type": "code", "execution_count": 8, "id": "a8f1d19c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "+ N = 10\n", " > done in 2.2 seconds\n", "+ N = 31\n", " > done in 2.5 seconds\n", "+ N = 100\n", " > done in 2.9 seconds\n", "+ N = 316\n", " > done in 4.0 seconds\n", "+ N = 1000\n", " > done in 6.0 seconds\n", "+ N = 3162\n", " > done in 13.3 seconds\n", "+ N = 10000\n", " > done in 35.7 seconds\n", "+ N = 31622\n", " > done in 114.9 seconds\n", "+ N = 100000\n", " > done in 418.4 seconds\n" ] } ], "source": [ "import time\n", "# - PREPARE SIMULATION\n", "# update config parameters - back to optimal conditions\n", "delta = -0.5 * main.Gamma\n", "config.reset_atomlight_coupling()\n", "for laser in config.list_lasers():\n", " config.add_atomlight_coupling(laser=laser, transition=\"main\", detuning=delta)\n", "\n", "# initial conditions and time\n", "t = np.linspace(0, 0.6e-3, 600)\n", "sim = RK4St(config)\n", "\n", "# scan atom number\n", "N_list = np.logspace(1, 5, 9, dtype=int)\n", "T_mean = []\n", "T_std = []\n", "duration = []\n", "for N_samples in N_list:\n", " print(f\"+ N = {N_samples}\")\n", " # define sample\n", " u0 = np.zeros(shape=(N_samples, 6))\n", " # integrate\n", " t0 = time.time()\n", " res = sim.integrate(u0, t)\n", " tf = time.time()\n", " # get temperature\n", " v = res.y[:, 3:6, :] # we take only the speed vector\n", " v_norm = np.linalg.norm(v, axis=1)\n", " T = Ytterbium().mass * np.mean(v_norm**2, axis=0) / csts.k / 3\n", " # store\n", " T_mean.append(np.mean(T[-100:]))\n", " T_std.append(np.std(T[-100:]))\n", " duration.append(tf - t0)\n", " print(f\" > done in {tf-t0:.1f} seconds\")\n", "\n", "T_mean = np.array(T_mean)\n", "T_std = np.array(T_std)\n", "duration = np.array(duration)" ] }, { "cell_type": "code", "execution_count": 9, "id": "8ead330d", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# figure\n", "fig, ax = plt.subplots(1, 2, figsize=(9,4), tight_layout=True)\n", "# time\n", "ax[0].plot(N_list, duration, \"o\")\n", "ax[0].set_ylabel(\"integration time (s)\")\n", "# result\n", "ax[1].errorbar(N_list, T_mean * 1e3, yerr=T_std * 1e3, fmt=\"o\")\n", "ax[1].axhline(main.Doppler_temperature * 1e3, color=\"C1\")\n", "ax[1].set_ylabel(\"T (mK)\")\n", "for cax in ax: \n", " cax.set_xscale(\"log\")\n", " cax.grid(which=\"both\")\n", " cax.set_xlabel(\"atom number\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "atomsmltr-KmviZRuT-py3.12", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }