{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 1 - An isolated two state system"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this tutorial we are going to look at a single two state system that doesn't talk to the environment around it. We'll look at two examples\n",
"1. When the system is in a stationary state\n",
"2. When the two states are coupled together"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# RUN THIS IF YOU ARE USING GOOGLE COLAB\n",
"import sys\n",
"import os\n",
"!pip install qutip==5.2.0\n",
"!git clone https://github.com/project-ida/two-state-quantum-systems.git\n",
"sys.path.insert(0,'/content/two-state-quantum-systems')\n",
"os.chdir('/content/two-state-quantum-systems')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"from qutip import *\n",
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"\n",
"## note, if you start getting errors when using pandas with complex numbers then update Pandas\n",
"## - there was a bug that's been recently fixed https://github.com/pandas-dev/pandas/issues/27484"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1.1 - Stationary state"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We begin with a description of our two state system.\n",
"\n",
"We will call the two states **|+>** and **|->** and represent them as\n",
"\n",
"$$\n",
"|+> = \\begin{bmatrix}\n",
" 1 \\\\\n",
" 0 \\\\\n",
" \\end{bmatrix}, \n",
"|-> = \\begin{bmatrix}\n",
" 0 \\\\\n",
" 1 \\\\\n",
"\\end{bmatrix}\n",
"$$\n",
"\n",
"At any time, the state of the system can be described by\n",
"\n",
"$$\n",
"\\psi(t) = \\psi_+(t)|+> +\\,\\ \\psi_-(t)|->\n",
"$$\n",
"\n",
"where the complex numbers $\\psi_+$ and $\\psi_-$ are [probability amplitudes](https://en.wikipedia.org/wiki/Probability_amplitude) (a.k.a quantum amplitudes or just amplitudes) whose modulus squared gives us the probability to find the system in that particular state. \n",
"\n",
"For this tutorial we will assume that the two states have the same energy. The hamiltonian matrix will therefore take the form\n",
"\n",
"$$\n",
"H = \\begin{bmatrix}\n",
" E_0 & 0 \\\\\n",
" 0 & E_0 \\\\\n",
"\\end{bmatrix} = E_0 I\n",
"$$\n",
"\n",
"where $I$ is the identity matrix.\n",
"\n",
"In this example we will set $E_0=1$.\n",
"\n",
"We will now use QuTiP to find out how this system evolves in time. It should be noted that $\\hbar=1$ in QuTiP so energy and frequency are interchangable."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"E0 = 1\n",
"H = E0*qeye(2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's initialise the 2 state system. In Qutip, this can be done in several ways (cf QuTip [intro notebook](https://github.com/jrjohansson/qutip-lectures/blob/master/Lecture-0-Introduction-to-QuTiP.ipynb) and [intro docs](http://qutip.org/docs/latest/guide/guide-basics.html))\n",
"\n",
"For the $|+>$ state: `Qobj([[1], [0]])` or `basis(2, 0)`\n",
"\n",
"For the $|->$ state: `Qobj([[0], [1]])` or `basis(2, 1)`"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"plus = basis(2, 0)\n",
"minus = basis(2, 1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We'll go with $\\psi(t=0) \\equiv \\psi_0 = |+>$"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"psi0 = plus"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, let's evolve the state $\\psi$ over time by solving the Schrödinger equation\n",
"\n",
"$$\n",
"i \\hbar \\frac{d}{d t}\\psi(t) = \\hat H\\psi(t)\n",
"$$\n",
"\n",
"Qutip has many [solvers](http://qutip.org/docs/latest/apidoc/functions.html#dynamics-and-time-evolution) that can do this. We will start with [sesolve](http://qutip.org/docs/latest/apidoc/functions.html#module-qutip.sesolve) as demonstrated [here](http://qutip.org/docs/latest/guide/dynamics/dynamics-master.html#unitary-evolution)."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"times = np.linspace(0.0, 10.0, 1000) # simulation time\n",
"result = sesolve(H, psi0, times) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"QuTiP returns a list of the states for different times. We'll transform this into a dataframe to make things easier to visualise. We'll make a function for this so we can reuse it later."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"def states_to_df(states,times):\n",
" psi_plus = np.zeros(len(times),dtype=\"complex128\") # To store the amplitude of the |+> state\n",
" psi_minus = np.zeros(len(times),dtype=\"complex128\") # To store the amplitude of the |-> state\n",
"\n",
" for i, state in enumerate(states):\n",
" psi_plus[i] = state[0][0]\n",
" psi_minus[i] = state[1][0]\n",
"\n",
" return pd.DataFrame(data={\"+\":psi_plus, \"-\":psi_minus}, index=times)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"df_stationary = states_to_df(result.states, times)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(15,6))\n",
"df_stationary.plot(title=\"Real part of amplitudes Re($\\psi$) (Fig 1)\", ax=axes[0]);\n",
"(df_stationary.abs()**2).plot(title=\"Probabilities $|\\psi|^2$ (Fig 2)\", ax=axes[1]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The probability to find the system in the $|+>$ state (i.e. $|\\psi_+|^2$) state remains constant throughout because the system is in what we call a **stationary state**, i.e. a state of constant energy.\n",
"\n",
"The amplitude oscillates at a frequency determined by the $E_0$ parameter which we set to equal 1 at the start and so we have a period of $2\\pi$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1.2 Coupling between two states of the same energy"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"When the two states are coupled, e.g. the case of the [ammonia molecule](https://www.feynmanlectures.caltech.edu/III_08.html#Ch8-S6), the hamiltonian matrix will contain off diagonal elements\n",
"\n",
"$$\n",
"H = \\begin{bmatrix}\n",
" E_0 & -A \\\\\n",
" -A & E_0 \\\\\n",
"\\end{bmatrix}\n",
"$$\n",
"\n",
"By using common two-state operators such as the [Pauli matrices](https://en.wikipedia.org/wiki/Pauli_matrices):\n",
"\n",
"$$\n",
"\\sigma_x = \\begin{bmatrix}\n",
"0 & 1 \\\\\n",
" 1 & 0 \\\\\n",
"\\end{bmatrix}\n",
"$$\n",
"\n",
"$$\n",
"\\sigma_y = \\begin{bmatrix}\n",
"0 & -i \\\\\n",
" i & 0 \\\\\n",
"\\end{bmatrix}\n",
"$$\n",
"\n",
"$$\n",
"\\sigma_z = \\begin{bmatrix}\n",
"1 & 0 \\\\\n",
" 0 & -1 \\\\\n",
"\\end{bmatrix}\n",
"$$\n",
"\n",
"The hamiltonian can be re-written as:\n",
"\n",
"$$\n",
"H = E_0 I - A \\sigma_x\n",
"$$\n",
"\n",
"QuTiP allows us to conveniently reference the Pauli matrices using `sigmax()`, `sigmay()` and `sigmaz()`."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"psi0 = plus\n",
"\n",
"E0 = 1.0\n",
"A = 0.1 # coupling \"strength\"\n",
"\n",
"H = E0*qeye(2) - A*sigmax()\n",
"\n",
"times = np.linspace(0.0, 70.0, 1000) # simulation time\n",
"\n",
"result = sesolve(H, psi0, times)\n",
"df_coupled = states_to_df(result.states, times)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(15,6))\n",
"df_coupled.plot(title=\"Real part of amplitudes Re($\\psi$) (Fig 3)\", ax=axes[0]);\n",
"(df_coupled.abs()**2).plot(title=\"Probabilities $|\\psi|^2$ (Fig 4)\", ax=axes[1]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now the situation is more complicated.\n",
"\n",
"Although we again initialised the system in the $|+>$ state, the probability to find the system in that state at a later time is no longer constant - it slowly oscillates. These oscillations (often called [Rabi oscillations](https://en.wikipedia.org/wiki/Two-state_quantum_system#Rabi_formula_for_a_static_perturbation)) tell us that $|+>$ is no longer a state of constant energy (same for $|->$). What's going on?\n",
"\n",
"This behaviour is identical to a system of two coupled pendulums - each state in the quantum system is analagous to one of the pendulums. If you displace only one pendulum, then its maximum amplitude oscillates slowly as it transfers energy to the second pendulum and then back again (as you can see in this [video](https://youtu.be/CjJVBvDNxcE?t=56)).\n",
"\n",
"In the language of classical physics, this slow oscillation of the maximum amplitude results from the [beating](https://en.wikipedia.org/wiki/Beat_%28acoustics%29) of two frequencies that correspond to different [normal modes](https://www.physics.utoronto.ca/~sandra/PHY238Y/Lectures/Lect4_Coupl_osc.pdf). These modes can be distinguished when you displace both pendulums, first in phase and then out of phase (see [this video](https://youtu.be/CjJVBvDNxcE?t=14)). \n",
"\n",
"In the absence of coupling, there are also two frequencies in the system, but they are identical because the pendulums are identical. In effect, the coupling splits the two frequencies apart and that is also what's happening in our quantum system.\n",
"\n",
"Instead of our two states |+> and |-> having the same energy $E_0$, we can now expect to find that the states:\n",
"\n",
"$|+> + \\,\\ |->$ - in phase\n",
"\n",
"$|+> - \\,\\ |->$ - out of phase\n",
"\n",
"should be our states of constant energy - our stationary states (we will of course need to normalise these states).\n",
"\n",
"We can also expect to be able to describe the above Rabi oscillations in probability with something like $\\cos^2(\\Omega t/2)$, where $\\Omega = \\Delta E$ (the Rabi frequency) is given by the difference in energy (c.f. beat frequency) between the two new stationary states.\n",
"\n",
"Let's use QuTiP to see this."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"QuTiP allows us to easily combine states together and make sure they are normalised using the `unit()` function"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"in_phase = (plus + minus).unit()\n",
"out_phase = (plus - minus).unit()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"E0 = 1.0\n",
"A = 0.1\n",
"\n",
"H = E0*qeye(2) - A*sigmax()\n",
"\n",
"times = np.linspace(0.0, 10.0, 1000) \n",
"\n",
"# First let's get the evolution of the state when initialised as \"in phase\"\n",
"result = sesolve(H, in_phase, times)\n",
"df_coupled_in_phase = states_to_df(result.states, times)\n",
"\n",
"# Secondly let's get the evolution of the state when initialised as \"out of phase\"\n",
"result = sesolve(H, out_phase, times)\n",
"df_coupled_out_phase = states_to_df(result.states, times)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ZGUuXLuXVV19l0aJFrFu3jpCQEKvjNanKhsW1115Lu3btGmy927dvZ+fOncyePZtf/epXDbZeK1111VVceumluN1uoPGOndUa4/VxtMZUXRzZqPnNb35jWS+7Y+1H5bE7Uv/+/YHqz5+G9Nvf/pYRI0ZUmXbkL8zN5fiJiMjxO/vssxk+fDgAv/rVr2jfvj1PPvkkH374Ya2fS8XFxYSHhzdlzONmt9ux2+0nPM/xzNsSVP4AnZaWxr333mtplldeeYULLrigxnbhkc/TmjT041JQUMDVV1/Nueeey3vvvXfMH2OnTJnCY489xoIFCzj99NMbLIdIQ1FPMrHE2WefzZVXXsmvfvUrXnrpJe644w62b9/ORx99ZHW0JlNcXNyo68/OzgZoVcUju91OSEhIqy8wNMbr42iNqbqaMmUKO3fuZMGCBce9jhN1rP2oPHZH3gYPHgw07vNn7Nix1bYbFxdXZZ7mcPxERKThVH7BT09PB34aqmHDhg1cfvnlxMTEcMoppwCwevVqzj77bKKiooiIiOCMM86o0uP453Jzc5kyZQpRUVG0b9+e3/3ud5SVlQXv37lzJ7fccgu9evUiNDSU9u3bc8kll9Q6pMCx1gd1G5bg5/Pcf//9/PGPfwSge/fuwd7UGRkZta5v7969XHfddSQkJOB2u+nXrx8vv/xylXkKCwu57bbbSE5Oxu1206FDB84880xWrVpVa7ajMU2TiIgI/vCHPwCwZcsWDMPg3XffBeC1117DMAy2bt1a4/KBQICrrroKwzD417/+ZWlbND09nR9//JEJEyYc1/I1PS4LFy5k+PDhhISEkJqayosvvljnoUfefPNN9u/fz1/+8hdsNhvFxcVHHRJj2LBhxMbG8uGHHx5XfpHGpiKZNAtjx44FKno/HakuH6L1bSQcS+UHwqZNm47ZmKjrtmtrNB2tYXE0x2poXXvttYwbNw6ASy65BMMwGD9+fK3rq+9+bNmyhSuvvJLo6Gji4+O55557ME2T3bt3c+GFFxIVFUXHjh3561//etzHtiZHfqgf69hde+21JCcnV1tHTR/4ixYtYsSIEVUaBrWxomFX2+ujrnlqa0zVt8FodaOmMRqFcGINwyMVFhbi8/lqvd/q4yciIg2r8nO5ffv2VaZfcskllJSU8PDDD3PDDTewfv16xo4dyw8//MCdd97JPffcQ3p6OuPHj+f777+vcd1TpkyhrKyMmTNncs455/DMM8/w61//Onj/8uXLWbx4MZdeeinPPPMMN910E/Pnz2f8+PE1nv55rPUdr1/+8pfBXnSVw3u8/vrrxMfH1zj//v37GT16NPPmzWP69On87W9/Iy0tjeuvv56nn346ON9NN93ECy+8wEUXXcTzzz/PHXfcQWhoKBs3bjyunDt27KC4uJgBAwYAsHbtWoAqf4eGhpKamlrj8jfeeCP79u3j3XffxeGw9mSsxYsXAzB06NAa78/Pzyc3N7fK7WhWr17NWWedxYEDB3jggQe4/vrrefDBB/nggw/qlGfevHlERUWxd+9eevXqRUREBFFRUdx88821tu+HDh3Kd999V6f1izQ1nW4pzULll9aYmJjgtMoPUcMwmD59OvHx8Xz++edcf/31FBQUcNtttwFVGwldunQhIyODF154gfHjx7NhwwbCwsKOK9OUKVNITk5m5syZLF26lGeeeYZDhw7x2muvBeep77YvueQSevTowcMPP4xpmpxyyils2bKFt956i6eeeirY86S2hgUQbGhFRUVx55134nQ6efHFFxk/fjxff/01o0aN4sYbb6Rz5848/PDDwdPAEhISal1nffdj6tSp9OnTh0ceeYRPP/2UP//5z8TGxvLiiy9y+umn8+ijj/LGG29wxx13MGLECE499dR6H9tj+eUvf1nvY1eTtWvXMnHiROLj47n//vvx+Xzcd999NR6vuj4nb7rpJt577z2mT59O3759OXDgAIsWLWLjxo21NmiOpqbXR33y1NaYOp4Go5WNmmM1CuGnhuGRft6j60iVDcPExEQeeOAB/H4/Dz74YL2fR9OmTaOoqAi73c7YsWN5/PHHazzVQY1CEZGWq/IzpqysjO+++44HH3yQ0NBQzjvvvCrzDRo0iDfffDP49y9+8Qu8Xi+LFi0iJSUFgKuvvppevXpx55138vXXX1fbVvfu3YM/qtx6661ERUUFi0UDBw7k3HPP5eKLL66yzPnnn8+YMWP473//y1VXXVWv9R2vgQMHMnToUN566y0mT55c4w+UR/q///s//H4/a9euDRYXb7rpJi677DLuv/9+brzxRkJDQ/n000+54YYbqvzgeueddx53znXr1gFV2zhut5sePXoE7+/Xr1+Npwru3LmTl156iZCQkCptis8//zz4Q2ZT2rRpE0C14SUq1fRj4tHG/7rvvvuw2+189913dOrUCahoq/fp06dOebZu3YrP5+PCCy/k+uuvZ+bMmSxcuJBnn32WvLw83nrrrWrLpKSk8Prrr9dp/SJNzhRpQq+88ooJmPPmzTNzcnLM3bt3m++9954ZHx9vut1uc/fu3cF5r7/+ejMxMdHMzc2tso5LL73UjI6ONktKSkzTNIP/HmnJkiUmYL722mvVtp2enn7UjPfdd58JmBdccEGV6bfccosJmD/88ENwWl23XbnOyy67rNr8jz/+eJ1yVZo8ebLpcrnM7du3B6dlZmaakZGR5qmnnhqctmDBAhMw33333WOus7778etf/zo4zefzmV26dDENwzAfeeSR4PRDhw6ZoaGh5jXXXFNt+boc25oer59PO9qxu+aaa8xu3bpVm16ZodLkyZPNkJAQc+fOncFpGzZsMO12u/nzt8i6Piejo6PNW2+9tdq2j6U+r4/65Pl//+//mYBZWFhYZb4PPvjABMwVK1YEj43b7TZ9Pp9pmqZ51llnmcOHD6+yzK9//WszNDS03vvWEGrbD9P86djVdPv5PEc+X84//3wzLCzM3Lt3b3Da1q1bTYfDUe3xr8l3331nXnTRReY///lP88MPPzRnzpxptm/f3gwJCTFXrVpVbX4rj5+IiByf2j5junXrZs6ZMyc4X2Ub4+uvvw5O8/l8ZlhYmDllypRq673xxhtNm81m5ufnV1vHF198UWXejRs3moA5c+bMauvxeDxmbm6umZOTY7Zr18687bbbjmt9P/+crEtbzDRrb4/9fN5AIGC2a9fO/PWvf23m5ORUuVXOu2jRItM0TbNbt27m8OHDq3w+11W3bt3M++67r8q0P//5z6bNZgu2jS666CJz8ODBwfu7dOliTps27ajraC5uvvlm0+FwVJteeQyfe+4588svv6xyq2m+9PR00+fzmaGhoebll19ebX3nn39+ndpCKSkpJmDedNNNVabfeOONJmBu2bKl2jIzZswwAbO4uPiY6xdpajrdUiwxYcIE4uPjSUpK4uKLLyY8PJyPPvqILl26ABW/dvz3v//l/PPPxzTNKt2FJ02aRH5+fvDUtdDQ0OB6vV4vBw4cIC0tjXbt2h336W1Q8SvbkX7zm98A8NlnnwWn1XfbN91003HnAfD7/cydO5fJkycHf4kESExM5PLLL2fRokUUFBTUe7313Y8jLwRgt9sZPnw4pmly/fXXB6e3a9eOXr16sWPHjmrL1+XYNgW/388XX3zB5MmT6dq1a3B6nz59mDRpUpV56/OcbNeuHd9//z2ZmZnHletYr4/65jlw4AAOh4OIiIgq21m3bh02m42+ffsG/+7Tp09wMNd169YFf3GtFBMTQ2lpqSVX8qptP4703HPP8eWXX1a51cbv9zNv3jwmT54c/OUUKgbcP/vss+uU6aSTTuK9997juuuu44ILLuCuu+5i6dKlGIbB3XffXW1+K4+fiIicmMrPmAULFrBhwwZ27NhRrb0AVXv45OTkUFJSQq9evarN16dPHwKBALt37652X2UPp0qpqanYbLZg7/LS0lLuvfdekpKScLvdxMXFER8fT15eHvn5+fVeX1PIyckhLy+Pf/zjH8THx1e5TZs2DfhpTN3HHnuMdevWkZSUxMiRI7n//vtrbFPW1dq1a0lNTQ22edeuXRts4+Tn57Nnz55qbZ6WauTIkUyYMKHKrTbZ2dmUlpZWudhQpZqm1aTymP784hWXX345AEuWLKm2jHm4Z1trH2dYWiYVycQSlY2M9957j3POOYfc3NwqV5yrz4dofRsJdVWXxkR9t11bt+i6Ot6G1rHUdz+OLCgBREdHV+uCXjn90KFD1ZZvDg01qDiepaWl1fIA1Y5xUzbsjvX6qG+e2hxPg7G5N2qaumFYk7S0NC688EIWLFiA3++vcl9zP34iLck333zD+eefT6dOnTAMo87j5zTW9rxeLzNmzGDAgAGEh4fTqVMnrr766uP+wQQqxkysHHPzyFtWVtYJ7k3t1q9fz0UXXURycjKGYVQZJ6qtq/yMGT9+PH369Kn1Kn5H/vjYUH7+ufGb3/yGv/zlL0yZMoX//Oc/zJ07ly+//JL27dsfddD02tbXFCpzXXnlldV+0Kq8nXzyyUDF6X47duzg2WefpVOnTjz++OP069ePzz///Li2vX79+uDVrsvKyti+fXvw75+fitnctW/fHp/PR2FhodVRAII/NP58qJIOHToA1Phd4NChQ4SFhTXKa0XkRGlMMrHEyJEjg+P1TJ48mVNOOYXLL7+czZs3ExERUeVD9JprrqlxHZXjJ/zmN7/hlVde4bbbbmPMmDFER0djGAaXXnppnRoJdVVTY6K+226uHwT13Y+aLhtd26WkK4sCR9MYDbXa1vnzokVd1ec5OWXKFMaOHcv777/P3Llzefzxx3n00Uf53//+V6ceSsd6fdQ3z5GNqcjIyOD9NTUYK3sD1tZgtLJRU9t+NEdJSUl4PB6Ki4uJiooKTlejUKThFBcXM2jQIK677jp++ctfWr69kpISVq1axT333MOgQYM4dOgQv/vd77jgggtYsWJFjevMyMige/fux/ys3Lx5c5X3ksovn42hpKSElJQULrnkEn7/+9832nbaivj4eMLCwti8eXO1+zZt2oTNZiMpKanafVu3bq3y4+q2bdsIBALBMb/ee+89rrnmmipjdpWVlZGXl1djjmOt70TUtR0XHx9PZGQkfr+/ThfhSUxM5JZbbuGWW24hOzuboUOH8pe//KXOvb2PtGPHjuD4YRs2bMDv9wfbOPPmzcNms9U4lmhz1Lt3b6DigkYnMp4cVLyXhISEsG3btmr31TStJsOGDePLL78MDtxfqfIHgprGeU1PT6/zmGciTU1FMrGc3W5n5syZnHbaafz973/nrrvuqteHaH0bCXVVl8ZEQ2y7PgWi421oHUtjHcPaNFRD7WjHLiYmpsb8O3fuDP4/Pj6e0NDQGi/3/fNjbFXDrqbXR33z1NaYOp4Go5WNmoZsFELDNAxrs2PHDkJCQqqdGqpGoUjDOfvss4/6nlpeXs7//d//8dZbb5GXl0f//v159NFHj3q15xPZXnR0dLVTvP/+978zcuRIdu3aVa0Xdn106NCBdu3a1XhfIBDg0Ucf5R//+AdZWVn07NmTe+65p9qg7nU1YsQIRowYARD8zJHjZ7fbmThxIh9++CEZGRnBts7+/ft58803OeWUU6oUQCs999xzTJw4Mfj3s88+CxB8Dtrt9mrF1WeffbbWHwOPtb4TER4eDnDMdqPdbueiiy7izTffZN26dcEf6irl5OQQHx+P3++nqKiI6Ojo4H0dOnSgU6dOlJeXH1dGn88XvLBP5Q+B/fv3Jz8/n1deeYUJEybU+hprbsaMGQPAihUrTrg9ZLfbmTBhAh988AGZmZnBXmHbtm2rc6+9KVOm8Mgjj/DPf/6T008/PTj9pZdewuFw1Pieu2rVKq644ooTyi7SWHS6pTQL48ePZ+TIkTz99NOUlZUFP0T/+9//Bj/IjpSTkxP8f30bCXX13HPPVVsnVG1MNMS269qwqNzekQ2tSsdqaNVlvY1xDGtTl2NbF0c7dqmpqeTn5/Pjjz8Gp+3bt4/3338/+LfdbmfSpEl88MEH7Nq1Kzh948aNfPHFF1XWV9fnpN/vr3aK6ok27H7++qhPHqjamDrS8TQYV61axUknnXRc+3GiatuP4/XzhmGl+jQMjzzOlX744Qc++ugjJk6cWO1UHCuPn0hbM336dJYsWcLbb7/Njz/+yCWXXMJZZ51V4w8jjSU/Px/DME74y/fgwYNJTEzkzDPPrHaF3JkzZ/Laa68xa9Ys1q9fz+9//3uuvPLKGq+YKNb485//jMPh4JRTTuHhhx/mscce46STTqK8vJzHHnusxmXS09O54IILeP7557nqqqt4/vnnufzyyxk0aBAA5513Hq+//jq33XYb//jHP5g2bRrPPPNM8IqR9V3fiRg2bBhQceXK119/nbfffpvi4uIa533kkUdITExk1KhRweyPPPIIU6ZMCfZCKiwspHPnzlx77bU89dRTzJ49m6lTp7J8+fJq417V1cknn8wHH3zAM888w7fffktYWBjr1q1j4sSJZGdn8+ijjx7fzlsgJSWF/v37M2/evAZZX+XV3U8++WQee+wxZs6cybhx46oVMWszZMgQrrvuOt58802mTp3K888/z5QpU3jrrbf44x//WGXcV4CVK1dy8OBBLrzwwgbJL9LQ1JNMmo0//vGPXHLJJbz66qvcdNNNPPLIIyxYsIBRo0Zxww030LdvXw4ePMiqVauYN28eBw8eBH5qJERHR9O3b1+WLFnCvHnzam0k1FVlY+Kss85iyZIl/Pvf/67WmGiIbR/ZsLj00ktxOp2cf/75wQLQz/35z3/myy+/5JRTTuGWW27B4XDw4osvHrWhdSyNdQxrU5djWxdHO3aXXnopM2bM4Be/+AW//e1vKSkp4YUXXqBnz55VLkbwwAMPMGfOHMaOHcstt9yCz+fj2WefpV+/flUKbECdnpOFhYV06dKFiy++mEGDBhEREcG8efNYvnx5lZ569fXz10dd80DVxtR1110XXOeRDca1a9cGG4z3338/2dnZ1cbbsbpRU9t+nIj777+fuXPncvLJJ3PzzTfj9/v5+9//Tv/+/VmzZs0xl586dSqhoaGcdNJJdOjQgQ0bNvCPf/yDsLAwHnnkkSrzWn38RNqSXbt28corr7Br167gF7Q77riDOXPm8Morr/Dwww83eoaysjJmzJjBZZdddlw/YEFFr+RZs2YxfPhwysvLeemllxg/fjzff/89Q4cOpby8nIcffph58+YFf0hISUlh0aJFvPjii4wbN64hd0mOU79+/fj222+5++67mTlzJoFAgFGjRvHvf/+bUaNG1bjMO++8w7333stdd92Fw+Fg+vTpPP7448H7//a3v2G323njjTcoKyvj5JNPZt68eTVeSKAu6zsRI0aM4KGHHmLWrFnMmTOHQCBAenp6jfMmJCSwbNkyHnzwQf73v//x/PPP0759e/r16xcsVIWFhXHLLbcwd+5c/ve//xEIBEhLS+P555/n5ptvPq6Ms2bN4qKLLuJ3v/tdcNo555zDySefzKJFixg8ePBxrdcq1113Hffeey+lpaUnPITDsGHD+Pzzz7njjju45557SEpK4sEHH2Tjxo1s2rSpTuuYNWsWXbt25ZVXXuH999+nW7duPPXUU9x2223V5n333Xfp2rVrlV5nIs1K019QU9qyyksOL1++vNp9fr/fTE1NNVNTU02fz2eapmnu37/fvPXWW82kpCTT6XSaHTt2NM844wzzH//4R3C5Q4cOmdOmTTPj4uLMiIgIc9KkSeamTZvMbt26mddcc021bf/88tQ/V3mp7A0bNpgXX3yxGRkZacbExJjTp083S0tLq8xb121XrjMnJ6fGbT700ENm586dTZvNVqeMq1atMidNmmRGRESYYWFh5mmnnWYuXry4yjwLFiwwAfPdd9896roaYj+uueYaMzw8vNp6x40bZ/br16/a8nU5tnW97PjRjt3cuXPN/v37my6Xy+zVq5f573//O5jhSF9//bU5bNgw0+VymSkpKeasWbNqnM80j/2cLC8vN//4xz+agwYNMiMjI83w8HBz0KBB5vPPP1/r8f/5/tX19VGXPJWefPJJMyIiInjpc9M0zc2bN5v9+/evdkn7k08+2Vy5cmW1DDNmzDC7du1qBgKBY+5LY6lpP0zz6Mfu5/P8/PU1f/58c8iQIabL5TJTU1PNl156yfzDH/5ghoSEHDPP3/72N3PkyJFmbGys6XA4zMTERPPKK680t27dWm3e5nD8RForwHz//feDf3/yyScmYIaHh1e5ORwOc8qUKaZpmubGjRurvf/9/DZjxow6be/nPB6Pef7555tDhgwx8/Pzq9zXt2/fYJ6wsLBqOc8666yj7uupp55qXnnllaZpmua6detq3E+n02mOHDnSNE3TLC0tPeZ+Tp06tcZtdevWzXzqqaeOmkekuenWrZt53333VZseCATMpUuXmpGRkea5555r7ty5s97raC7y8vLM2NhY86WXXmq0bVx44YVmWlpag66zrKzM7Nixo/n000836HpFGpJhmnUYVVukDbn//vt54IEHyMnJqXa1RjkxOrbWyc/PJyUlhcceeyw4OD9UXFhh2bJlnHnmmZx66qk8//zzNY6bU15eTnJyMnfddVeVX2GbWm370dAmT57M+vXrG+y0rOZy/ERaK8MweP/995k8eTJQ0WvmiiuuYP369dUuLBMREUHHjh3xeDzHvPJw+/btaxx0+ufbO5LX6w1eme+rr76q1it7586deL1eAPbu3cv48eOrvNeEhobSuXPnWjP98Y9/ZNGiRSxZsoTvv/+e0aNHs3DhwmrLuN1ukpKSME2zxrFMjxQVFVXtlCiA5ORkbrvtthp7g4g0V8nJyVx77bXcf//91e7Ly8sjJiaGZ599lunTpx/XOpqLRx99lFdeeYUNGzbUeqXVuvp5j7StW7fSr18/rrnmGmbPnn2iUYNmzZrFww8/zNatW6tduV2kudDpliIibUB0dDR33nknjz/+ONOmTQs2pgzDoFevXhQWFnLWWWfVOrD0K6+8gtPpDJ7qaZXa9uNE1NQw/Oyzz2q9aujxaC7HT6StGDJkCH6/n+zs7OAFSn7O5XIFLwjSUCoLZFu3bmXBggU1DlvQrVu34P8djoqmeFpaWp23sWbNGhITEwHo27cvbrebXbt21XpqpWEYDb6fIi1VbVfvbolmzJjBjBkzGmRdKSkpXHvttaSkpLBz505eeOEFXC4Xd955Z4Osv9JNN92ktpA0eyqSiYi0EbU1purSYGxOjZqGbBRC0zQMm9PxE2ktioqKqlyJNj09nTVr1hAbG0vPnj254ooruPrqq/nrX//KkCFDyMnJYf78+QwcOJBzzz23QbfXtWtXvF4vF198MatWreKTTz7B7/eTlZUFQGxsLC6Xq97bfPrpp+nevTv9+vWjrKyMl156ia+++oq5c+cCEBkZyR133MHvf/97AoEAp5xyCvn5+Xz33XdERUUdV7Hf4/GwYcOG4P/37t3LmjVriIiIqFcxT6Q5Wrt2LdA6imQN6ayzzuKtt94iKysLt9vNmDFjePjhh+nRo4fV0USanrVne4o0P8caP0yOn45t8/T888+bgHngwAGro1ji2muvNbt162a63W4zKirKnDRpUo1jsolI81I59ubPb5VjaXo8HvPee+81k5OTTafTaSYmJpq/+MUvzB9//LFRtpeenl7rmF8LFiyocZ2Vy9Tm0UcfNVNTU82QkBAzNjbWHD9+vPnVV19VmScQCJhPP/202atXL9PpdJrx8fHmpEmTzK+//vq49rO2/Rg3btxxrU9ERKQl0ZhkIiIiIiIiIiLS5p34YC4iIiIiIiIiIiItXKsbkywQCJCZmUlkZCSGYVgdR0RERFoI0zQpLCykU6dODXJRCGl4aueJiIjI8ahrO6/VFckyMzNJSkqyOoaIiIi0ULt376ZLly5Wx5AaqJ0nIiIiJ+JY7bxWVySLjIwEKnY8KirK4jQiIiLSUhQUFJCUlBRsS0jzo3aeiIiIHI+6tvNaXZGssut9VFSUGk8iIiJSbzqNr/lSO09EREROxLHaeRpwQ0RERERERERE2jwVyUREREREREREpM1TkUxERERERERERNq8VjcmmYiIiNSP3+/H6/VaHaPROZ1O7Ha71TFEREREmozaefWjIpmIiEgbZZomWVlZ5OXlWR2lybRr146OHTtqcH4RERFp1dTOOz4qkomIiLRRlQ2nDh06EBYW1qoLR6ZpUlJSQnZ2NgCJiYkWJxIRERFpPGrnHR8VyURERNogv98fbDi1b9/e6jhNIjQ0FIDs7Gw6dOigUy9FRESkVVI77/jbeRq4X0REpA2qHJsiLCzM4iRNq3J/28LYHCIiItI2qZ13/O08FclERETasNbc9b4mbW1/RUREpO1qa+2ehthfFclERERERERERKTNU5FMRERERERERETaPBXJRERERERERESkzVORTERERFq08ePH8+qrr1odQ0REREQaWFO381QkExERERERERGRNs9hdQARERFpHkzTpNTrt2TboU57m7sCk4iIiEhTUTuvblQkExEREQBKvX763vuFJdve8OAkwlxqloiIiIg0BrXz6kanW4qIiEiL8vDDDxMRERG8ffvtt9x0001Vpu3atcvqmCIiIiJST1a381pGKa8ZWTL7NtplL6PMGY0nNB4jcTAJ/cbRtdcQDJtqjiIilfbu2EjmmrkEMn/AVbIPl68Yv81Bubs9vphUonqMJXXoeEJCw62OKoeFOu1seHCSZduuq5tuuokpU6YE/77iiiu46KKL+OUvfxmc1qlTpwbNJyIiItKSqZ1XNyqS1VPooU308a4HL1ACHPgQ1kGGrStZ3X9BvwtuIzI61uqYIiKWKCsp4oeP/077Lf8hzb+dzjXOBOQDGS9Q8GUYP8ROIP706aT0H9W0YaUawzBaRFf42NhYYmN/+qwNDQ2lQ4cOpKWlWZhKREREpPlSO69umv8RambCJ/4fKzO34Ss+QODQTiIP/EjPsnUkB3aRvP1vFDz1EkuTr2XIpf8Pd0iY1XFFRJqE3+djxXuPk7bpBUaRD4DPtLHF3Y+CmP4YcWnYQ6MwfR58Bftx5aylW+Fq4shj1MGP4L2PWDlnPAmT/0KXtP4W742IiIiIiLRFKpLVU4/BY2Hw2CrT8g/lsuar10lY/xLdAnsYnfEcOx/7kNJJT9F71ESLkoqINI3ta5cS+OBWRvm3AbCPeHb2mkbPM66lb4ca+5IBEPD7WbfkUzxLX2Jo0dcMK1pI2evjWdrjVkZceg92hz6iRERERESk6RimaZpWh2hIBQUFREdHk5+fT1RUVJNu2+/zsfqzl0heNZM48vCbBstSf8PoKx/QeGUi0uqYgQDL/vskg9c9gtvwUkAYG/vcxtBf3IbT5a7XutLXf0/RRzMYUL4agPWugXS8/i3aJ3RpjOgClJWVkZ6eTvfu3QkJCbE6TpM52n5b2YaQutFjJCIicmxq5x1/O0+VmwZkdzgYfsFNOH+7guXRE7EbJmN2PMPqv15AWUmR1fFERBqMz+th+d+vZtT6h3AbXtaEjsZz0zJGTZ1R7wIZQPd+o+g/4yuWDXiAYjOEfp4f8b4wjm0/fNcI6UVERERERKpTkawRRMfGM/x37/B9v3vxmA6GFn/LjqcmkX8o1+poIiInrLS4kHVPXcDIgx/jNw2WpvyWgXd8RlzHpBNar2GzMfKi28i99DN2G53oSC4J/7uIDUvnNFByERERERGR2qlI1kgMm41Rl/yBrZNep9AMpa93HTl/n6hCmYi0aGWlxWx75gIGlyyhzHTy48l/Z/TVD2Gz1/2yzsfSrc8won77LRtcA4g0Skn5/ErWfvN+g61fRERERESkJiqSNbJ+J51D9sUfcIBo0vzb2ffceRQX5lkdS0Sk3ryecjY+ezEDyldRYrpJP+cNhky8slG2FR0TR8ptc/ghdBQhhpfU+Teyafm8RtmWiIiIiIgIqEjWJFIHjCb/4nfJJ5zevo1sf+6X+Lweq2OJiNSZGQjww98vZ0jJYspMJzsm/pM+oyY16jZDwiLo/bsP+DFkOGFGOZ0+vZqMjSsadZsiIiIiItJ2qUjWRFL6j2L/BW9SYroZWLaSlf+42epIIiJ1tvS1PzG8YB5e087mcc/T/+Tzm2S77pAw0qb/j43OvkRRjPM/l5OXm9Uk2xYRERERkbZFRbIm1HPoeDaf9DgAo3Le4/t3n7A4kYjIsa2e+2/GZLxQ8f8B/49Bp09p0u2HRUSTeOP77DUS6GzuZ+8/puD1lDdpBhERERERaf1UJGtiQyZdw5Lkil5kQ9c9rDF2RKRZ27lpFT2/+wMA38ddxMiLb7ckR7u4jngueYNiM4R+nh9YOftWS3KIiIiIiEjrpSKZBUZf/TArI8bjNPxEf3qTrngpIs1SWWkx/v9MI9woY71rEEN//YKlebr3HcGWk/8KwOicd1kz7y1L84iIiIiISOuiIpkFDJuNHr96mUwjgURy2PbP6zEDAatjiYhUsebl35ESyOAgUSRc92+cLrfVkRgy8UqWJlwGQLdFfyQnM8PaQCIiIiIi0mqoSGaRqHbtKTr/H3hNO8OKFrLig2etjiQiEvTDV/9hdM67AOw+9a/EdexqcaKfDJn2JNvsqcRQyP5/XUPA77c6koiIiIiItAIqklmo59DxrEitGFen9w8zyd6bbnEiERHIP5RLp2/uBGBphylNPlD/sbhDwnBNfZkS003/8jUsf08XQRERERERkROnIpnFRl5+H5sdvYg0Ssl842addikiltv82u+I5xC7jU4Mnva01XFq1LXnYNb2+T0A/Tc8SdbubRYnEhERERGRls5hdYC2zu5w4L7oeTxvT2RwyRJWfPYSw8/7tdWxRKSNWvfdx4w89AkAhZOeIik03OJEtRtxyZ1smvkhvX0b2fbmLST8cQ6GTb/9nBDTBG+JNdt2hoFhWLNtERERkdZO7bw6UZGsGUjuM5wlyTcwZucsUlc8RP5JvyA6Nt7qWCLSxpSVFNFu3h0AfN9+MqNGn2VxoqOz2e2EXvQcnrcnMqj0e1Z8/k+Gn3uD1bFaNm8JPNzJmm3/KRNczbcoKyIiItKiqZ1XJ/rJvZkYfsWDZNi6EkMBm96cYXUcEWmDVr/zEF3MLLKJpe/VT1kdp0669RnGym7XA9B1+cMUF+ZZG0ga3RtvvEFERETw9u2331odSUREREQaQHNo56knWTPhdLkpOv0vMO8qhuf8j/T1N9K93yirY4lIG7F/z3YGZbwCBuwafjfDo2OtjlRnQy67j72PfUBncz9L3rqXMb9+xupILZczrOKXPqu2XQcXXHABo0b99PnYuXPnxkokIiIi0nqonVcnKpI1I/1PuYBVS09laNE3lHz4B8w+32h8HRFpErv/cyfDjXI2Ovsy7JxfWR2nXkJCw8kecy+dF9/KsL1vsHfHjXRO6Wd1rJbJMJp9V/jIyEgiIyOtjiEiIiLSsqidVyeqwDQziZc8Qanpop9nLau/+JfVcUSkDdi07EuGF8wjYBo4zn2sRRbnB0+4nB9DhuEyfGS/d4fVcUTalOeee47k5GRCQkIYNWoUy5Ytq9Nyb7/9NoZhMHny5MYNKCIiIlJHLe+bUCuX2K0Xa7peA0D8ssfwesotTiQirVnA78c+924AVsSeQ4/BYy1OdHwMm43oyU/gNe0MKVnMhiWfWx1JpE145513uP3227nvvvtYtWoVgwYNYtKkSWRnZx91uYyMDO644w7Gjm2Z7zkiIiLSOqlI1gwNuOT/OEgUSWYmqz581uo4ItKKrf7iNXr4tlJshpAy9VGr45yQbr2HsirufABsXz2IGQhYnEik9XvyySe54YYbmDZtGn379mXWrFmEhYXx8ssv17qM3+/niiuu4IEHHiAlJaUJ04qIiIgcnYpkzVBEVAxbet0MQOr6Zykpyrc4kYi0Rj6vh7gVTwDwY9eriOuYZHGiE5dy0QOUmi56ezfww1fvWB1HpFXzeDysXLmSCRMmBKfZbDYmTJjAkiVLal3uwQcfpEOHDlx//fXH3EZ5eTkFBQVVbiIiIiKNRUWyZmroL28n00ggjjx+fK9l9+4QkeZp1Scv0i2whzwi6H/xn6yO0yDiOyWzpvOlAEQvnonf57M4kUjrlZubi9/vJyEhocr0hIQEsrKyalxm0aJF/POf/2T27Nl12sbMmTOJjo4O3pKSWn4xX0RERJovFcmaKZc7hMwhtwPQL/1l8nJrbmyKiByP8rISkn74GwCbUq8nMjrW4kQNp+/F91JAON0DO1n9Wd2+iItI4yssLOSqq65i9uzZxMXF1WmZu+++m/z8/OBt9+7djZxSRERE2rImKZLV96pHeXl53HrrrSQmJuJ2u+nZsyefffZZU0RtVoaeewM7bMlEGqVs/EC9yUSk4az58BkSySGHGAb98o9Wx2lQ0bHxrO8+DYBOq5/SBVBEGklcXBx2u539+/dXmb5//346duxYbf7t27eTkZHB+eefj8PhwOFw8Nprr/HRRx/hcDjYvn17tWXcbjdRUVFVbiIiIiKNpdGLZPW96pHH4+HMM88kIyOD9957j82bNzN79mw6d+7c2FGbHZvdTv6oit5k/Xe/Rf6hXIsTiUhrUFZaTMrGWQDs6HsLoeGRFidqeIMvvouDRNHJ3M+az16yOo5Iq+RyuRg2bBjz588PTgsEAsyfP58xY8ZUm793796sXbuWNWvWBG8XXHABp512GmvWrNGplCIiImK5Ri+S1feqRy+//DIHDx7kgw8+4OSTTyY5OZlx48YxaNCgxo7aLA2acCUZtq5EGqVs+OBxq+OISCvwwycvEM8h9tOeIRf+1uo4jSI0PJLNKdcC0OHH5zU22VEE2thVQNva/ja222+/ndmzZ/Ovf/2LjRs3cvPNN1NcXMy0aRW9Oa+++mruvvtuAEJCQujfv3+VW7t27YiMjKR///64XC4rd0VERKTVaWvtnobYX0cD5KhV5VWPKhtHcOyrHn300UeMGTOGW2+9lQ8//JD4+Hguv/xyZsyYgd1urzZ/eXk55eU/nUrT2q56ZLPbyR36G5JX/JE+O/9NUcFdRETFWB1LRFoon9dD0oZ/AJDe63oS3CEWJ2o8/S/8PQVP/ZNugT2snPs6w86ZZnWkZsXlcmGz2cjMzCQ+Ph6Xy4VhGFbHajSmaeLxeMjJycFms6kg00CmTp1KTk4O9957L1lZWQwePJg5c+YEB/PftWsXNpuGwBUREWlKaucdfzuvUYtkR7vq0aZNm2pcZseOHXz11VdcccUVfPbZZ2zbto1bbrkFr9fLfffdV23+mTNn8sADDzRK/uZiyFnXsXvlUySZmSz94ElGX/2Q1ZFEpIVa8/nLDDf3c4goBl3QOnuRVYqMjmVJ0uWM2T2bdiv/hnnWNRj6sh5ks9no3r07+/btIzMz0+o4TSYsLIyuXbuqcNOApk+fzvTp02u8b+HChUdd9tVXX234QCIiIm2c2nnH385r1CLZ8QgEAnTo0IF//OMf2O12hg0bxt69e3n88cdrLJLdfffd3H777cG/CwoKWt2YFnaHg30DbyHph/9Hjx3/orT4zlY5hpCINK6A30/cmucA2Jx8FaPbwPtI38l/pPiZ10n1p7NmwX8YfMalVkdqVlwuF127dsXn8+H3+62O0+jsdjsOh6NV/5IqIiIiAmrnHa9GLZLV96pHAImJiTidziqnVvbp04esrCw8Hk+1bnNutxu3293w4ZuZIef+mn0//I1Ecvj+01mMmtK6rkYnIo3vh/lvMSSwi0IzlD4X3n7sBVqB6PYJLOl0MWP2/ZvQJU+BimTVGIaB0+nE6XRaHUVEREREGpDaefXXqOca1PeqRwAnn3wy27ZtqzLg2pYtW0hMTGzT44c4XW529rwWgE4bXybQBirBItKwwpY9C8C6zlOIjomzOE3T6XHhDDymg16+TWxaPs/qOCIiIiIi0kw1+oAc9bnqEcDNN9/MwYMH+d3vfseWLVv49NNPefjhh7n11lsbO2qz1/+8WykgjCQzkx8X/MfqOCLSgmxaMZ9evk14TAc9LmhbPVHjOnZlTcxEAEq+fsbiNCIiIiIi0lw1epFs6tSpPPHEE9x7770MHjyYNWvWVLvq0b59+4LzJyUl8cUXX7B8+XIGDhzIb3/7W373u99x1113NXbUZi8iKoYNHX8BgHPZ8xanEZGWpPjril5kP8ScSVzH1jVuY13En3kbAIMKvyEzY7O1YUREREREpFkyTNM0rQ7RkAoKCoiOjiY/P5+oqCir4zS4/Xu2Ezt7BE7Dz7ZffEraoFOsjiQizVzWrq3E/XMkDiPA9ou+IHXAaKsjWWLtzNMYUL6KpQmXMvrmF62OI81Qa29DtAZ6jEREROR41LUNoeuftzAJXVL5Ifo0APLmP2VxGhFpCdI/fxqHEWCde3CbLZABBEbfAkD/rA8pzD9ocRoREREREWluVCRrgdqd8XsABuUvICczw9owItKsFRfm0W/f+wD4RtxkcRprDTj1l+y0JRFhlLL+k79bHUdERERERJoZFclaoLRBp7DB2b/ilMs5z1kdR0SasXWfvUgUxewxEhl42hSr41jKZreT1afiojFdtr2hqwSLiIiIiEgVKpK1UCWDrwUgbde7eD3l1oYRkWbJDARI2Pw6AHt6Xo3Nbrc4kfUGnP0rCgiji5nFum8/sDqOiIiIiIg0IyqStVADJ1xFLu2I5xBr579pdRwRaYY2fv8FyYHdlJhu+p3Ttk+1rBQWEc2G+HMB8C97yeI0IiIiIiLSnKhI1kK53CFs7fJLANyrX7Y4jYg0RyWLZwOwrv1EIqNjLU7TfCSeUTGA/8DiJWTt3mZxGhERERERaS5UJGvBUs6ajs+00c/zIxkbV1gdR0SakQP79zCwYCEAMafeaG2YZqZb76Gsdw3Ebpikf6FxHUVEREREpIKKZC1YQpdU1kacBMD++fqiJyI/2frFi7gMP1scPekxeKzVcZqdssPjOvbY8z+N6ygiIiIiIoCKZC2eY9SvAeiX8zklRfkWpxGR5iDg95OU/g4Aef2usjhN8zTgjCvIpR1x5PHjPI3rKCIiIiIiKpK1eP1POZ89RkcijFLWffma1XFEpBlY9+0HdDb3U0AYAyZOszpOs3TkuI4ha16xOI2IiIiIiDQHKpK1cIbNxp5uFwEQueEti9OISHPgX/ZPADbEn0toeKTFaZqv7pNuxW8a9PP8wO6tP1gdR0RERERELKYiWSuQcuYN+E2DPt717Nqyxuo4ImKh3MydDCheAkDi6TdbnKZ565iUxrrQ4QDsWfBPi9OIiIiIiIjVVCRrBTp07s66sJEA7F0w2+I0ImKlbfNewmEE2OTsS7c+w6yO0+z5B10BQGrmx/h9PovTiIiIiIiIlVQkayX8gysG5+6x7xNdqU2kjTIDARIz3gegoNclFqdpGfqdNpU8IujAQdZ9+77VcURERERExEIqkrUSA06bwgGiiSOPdQvftTqOiFhgy6qFdAvsptR00efMa62O0yK4Q8LYFH82AP6VuviJiIiIiEhbpiJZK+F0udna8TwAjNWvW5xGRKyQt+RVANZHjyMyOtbaMC1I/Km/AqB/4XccytlncRoREREREbGKimStSOJpvwZgQMn35GRmWBtGRJpUWUkRfQ58CUDIyKstTtOypA4YzTZ7Ki7Dz+Z5L1sdR0RERERELKIiWSvSrddgNjn7YjdMts/XFz2RtmTdV28SRQn7iKfvmHOtjtPiHOhRMYZb/Lb3LE4iIiIiIiJWUZGslcnveREAHdI/tDiJiDQl99q3AMhIuhCb3W5xmpan95nX4TEdpPp3sO2H76yOIyIiIiIiFlCRrJXpfcY1eEwHKYEMdqz73uo4ItIEsnZtpV/ZagC6nX6DxWlapuj2CayLPBmA3O/+ZXEaERERERGxgopkrUx0bDzrIsYAkL1IX/RE2oL0Ba9iM0zWuwbQqXtvq+O0WLbBlwGQlv0FPq/H4jQiIiIiItLUVCRrjQZOBSAl63P8Pp/FYUSksXXc+TEAxb0utjhJy9Z37C/II4I48ti4+BOr44iIiIiISBNTkawV6jfuIvIJpwMH2bD4U6vjiEgjSl//Pd0DO/GYDnqdfqXVcVo0lzuEze0nAFC26m2L04iIiIiISFNTkawVcoeEsan9mQCUrXzT4jQi0piyvvs3AOsjRhMdE2dxmpYveuQVAPTN+5rS4kKL04iIiIiISFNSkayV+umL3kJ90RNppQJ+P8mZnwNg9teplg2h14gJZBodCDfK2LDwHavjiIiIiIhIE1KRrJXqNWICe40Ewo0y1i94y+o4ItIItqyYTyI5FJmh9B13idVxWgXDZmNnp3MBsK971+I0IiIiIiLSlFQka6UMm41dXc4HwLleX/REWqP8ZW8AsDFmPCFhEdaGaUU6jb0agH4lyzmUs8/iNCIiIiIi0lRUJGvFOp1yFQB9S1aSf2C/xWlEpCF5PeX0PDAfgJChUy1O07p06z2UbfZUnIafLQtetzqOiIiIiIg0ERXJWrFuvQazw5aM0/CzeaFOuRRpTTYs+pAYCsmlHX3GnGt1nFYnN+VCAKK2vm9xEhERERERaSoqkrVy2V0rvjyHbP3I4iQi0pC8ayoGld8WfyYOp8viNK1PyviKUy77eDeQvTfd4jQiIiIiItIUVCRr5bqccjkAfUtXczB7r8VpRKQhlBTl0zf/WwBiRl1ucZrWqUPn7mx09gNgx9dvWJxGRERERESagopkrVyXtP5ss6fiMAJs/VqnXIq0Bhu/eY8wo5y9RgI9h463Ok6rlZ9S0RO3XfqnFicREREREZGmoCJZG5DbreKLXoROuRRpFYwNHwCwK3EShk1v440l5dTLCZgGvb0byNq9zeo4IiIiIiLSyPTtqg3oeuqVAPQu/5HcrF0WpxGRE1FSlE/vwu8BiB+lq1o2pg6du7PJVXHKZcY3b1qcRkREREREGpuKZG1Ap+RebHb0wm6YbF+osXVEWrJN3/6PMKOcTCOB1AEnWR2n1StMPQ+AGJ1yKSIiIiLS6qlI1kYc6l7xRS9q+8cWJxGRE2Gu/wCAnR3P1KmWTSD18CmXvXyb2Ldzs9VxRERERESkEekbVhuRfGrFFfD6eNezf892i9OIyPEoLS6kT+ESAOJG6lTLphDXqRub3P0B2PmtLn4iIiIiItKaqUjWRnRMSmOjsy8A6V/rlEuRlmjTospTLTuQNugUq+O0GZWnXMZm6JRLEREREZHWTEWyNiQ/peKLXnTGHIuTiMjxCKz7AIBdCTrVsimljqs45bKnbwuZGTrlUkRERESktdK3rDYk+ZSK07N6eTboKpciLUxZSRG9CxYDEDP8YovTtC1xHbuy0T0AgF3fqieuiIiIiEhrpSJZG9IxKY0tjp7YDJPt3/7H6jgiUg8bF31AuFFGFnH0HDre6jhtTlHlVS53qieuiIiIiEhrpSJZG3MgaSIAods/tziJiNSHf937AGQkTNCplhbofsoUAHr5NpO9N93iNCIiIiIi0hj0TauN6XJSxRe9PqWryT+Ua3EaEamLstJieud/B0C74ZdYnKZt6tC5O5sdvQBIX6SeuCIiIiIirZGKZG1MUo9BZNiScBp+tn77rtVxRKQONi/5lAijlGxi6Tn0NKvjtFkHu04CIGyHeuKKiIiIiLRGKpK1Qfs6nQmAffMnFicRkbooX/cRAOlx47HZ7Ranabu6jKm4YELvsh/JP5hjcRoREREREWloKpK1QfEjDn/RK1pGSVG+xWlE5GgCfj8pB78FIGzA+RanadsqeuJ2xWn42aKeuCIiIiIirY6KZG1Q6oAxZBodCDU8bP7uA6vjiMhRbFm1gDjyKDRD6TX6HKvjtHn7Ok0AwLHlU4uTiIiIiIhIQ1ORrA0ybDZ2dTgDAP/6jy1OIyJHc2hVxVUtN0edhMsdYnEaiR9xEVDRE7e0uNDiNCIiIiIi0pBUJGuj2g39JQA9C77DU15mcRoRqU2XrK8AMHqrF1lzkDrgJPYRT6jhYdN3H1odR0REREREGlCTFMmee+45kpOTCQkJYdSoUSxbtqxOy7399tsYhsHkyZMbN2Ab1HP4GeTSjihK2LRYA/iLNEc7N68hyczEY9rpecovrY4jVPTE3dmh4gqjvvUfWZxGREREREQaUqMXyd555x1uv/127rvvPlatWsWgQYOYNGkS2dnZR10uIyODO+64g7FjxzZ2xDbJZrezPfZUAErX6ZRLkeYoc2nF4PCbQocSGR1rcRqpFDn4FwD0zF+E11NucRoREREREWkojV4ke/LJJ7nhhhuYNm0affv2ZdasWYSFhfHyyy/Xuozf7+eKK67ggQceICUl5ajrLy8vp6CgoMpN6iak/7kAJB/4FjMQsDiNiPxc7O4vAShNPcviJHKk3iMncogooilm8/dzrI4jIiIiIiINpFGLZB6Ph5UrVzJhwoSfNmizMWHCBJYsWVLrcg8++CAdOnTg+uuvP+Y2Zs6cSXR0dPCWlJTUINnbgl6jz6PUdJHAAbavrf3xEJGml5OZQS/fZgBSTr7Y4jRyJLvDwdZ2pwBQ/KNOuRQRERERaS0atUiWm5uL3+8nISGhyvSEhASysrJqXGbRokX885//ZPbs2XXaxt13301+fn7wtnv37hPO3VaEhEWwKXw4ADkrNQC1SHOy47v3ANjs6EV8p2Rrw0g1zr4VPXGTcr9RT1wRERERkVaiWV3dsrCwkKuuuorZs2cTFxdXp2XcbjdRUVFVblJ3vrSK07ji9s63OImIHCl0e8VpfAeTzrQ4idSk10nnU2466WRmk7FppdVxRERERESkATRqkSwuLg673c7+/furTN+/fz8dO3asNv/27dvJyMjg/PPPx+Fw4HA4eO211/joo49wOBxs3769MeO2Sd1P+iUB06CHfxvZe9OtjiMiQGH+QXqXrgKg0+hLLE4jNQmLiGZT6GAAspZ/YGkWERERERFpGI1aJHO5XAwbNoz583/qpRQIBJg/fz5jxoypNn/v3r1Zu3Yta9asCd4uuOACTjvtNNasWaPxxhpBXMcktjp7AZC++L8WpxERgC2L/ofL8LPb6ES3XoOtjiO1KEuZCEDMnq8sTiIiIiIiIg3B0dgbuP3227nmmmsYPnw4I0eO5Omnn6a4uJhp06YBcPXVV9O5c2dmzpxJSEgI/fv3r7J8u3btAKpNl4ZzqMsZkLGJkB1fAHdYHUekzTM3V5xquTfhNPTTQPPVbcwvYcNf6OnZyMHsvcR26Gx1JBEREREROQGNPibZ1KlTeeKJJ7j33nsZPHgwa9asYc6cOcHB/Hft2sW+ffsaO4YcRcLIXwDQu2Q1JUX5FqcRadv8Ph+pBUsBiBx4nsVp5Gg6JqWx3Z6CzTDZvvh9q+OIiIiIiMgJavSeZADTp09n+vTpNd63cOHCoy776quvNnwgqSK59zAyjQ50IpvViz9myMQrrY4k0mZtXbWA3hRSQDg9h59hdRw5hpzE00jdswP71i+Amj/nRERERESkZWhWV7cUaxg2G7vixgHg3fCpxWlE2rZDP3wCwNbIkThdbovTyLHEDr0QgF5FyygvK7E4jYiIiIiInAgVyQSAiIHnA5Ca9x0Bv9/iNCJtV8K+hQCYPSZZG0TqJG3QKeTSjnCjjC3fz7E6joiIiIiInAAVyQSAniMnUWiG0p58tqxeaHUckTYpa/c2UgIZBEyD1DGTrY4jdWCz29kRcwoAJWs/sTiNiIiIiIicCBXJBACXO4QtUaMBOLTqA2vDiLRRO5dUDP6+xdWHmPhEi9NIXbn6ngtA19xvMAMBi9OIiIiIiMjxUpFMgsweZwGQkPWNxUlE2iZ3+jwA8jqfZnESqY+eY86l3HSSSA4Zm1ZaHUdERERERI6TimQSlDrmQgKmQUogg/17tlsdR6RNKSspolfJKgA6DL/Q4jRSH2ER0WwKGwJA1vL3LU4jIiIiIiLHS0UyCYqJT2SrsxcAO5d+aHEakbZl89LPCDU87Kc93fuOsDqO1FNZ94kAxOz+yuIkIiIiIiJyvFQkkyoOdh4PgHPHPGuDiLQxZRs+ByCj/VgMm96aW5puY34BQA/vJvJysyxOIyIiIiIix0PfxKSKuCHnAdCzeCWe8jKL04i0DWYgQLfcbwFw9z3b4jRyPDompZFu64bdMNm29COr44iIiIiIyHFQkUyqSB1wEgeIJtwoY8vyuVbHEWkTMjatpCM5lJlOeo0+1+o4cpz2dzgFAHPrlxYnERERERGR46EimVRhs9vZET0GgKK1n1mcRqRtyFr+AQCbw4YQGh5pbRg5bhEDKnoBpuYvJeD3W5xGRERERETqS0UyqcbWq2IA6sScRRYnEWkb2u1ZAEBZ8gSLk8iJ6Dn8TIrMUGIpYPuP31kdR0RERERE6klFMqkmbfQF+Ewb3QK7yczYbHUckVYt/8B+eno2ANB19GRrw8gJcblD2BoxDIDcNZ9anEZEREREROpLRTKpJjo2nq2uPgDsXvahxWlEWretSz/Cbpik27qR2K2X1XHkBHm7nwFAzN6vLU4iIiIiIiL1pSKZ1Civy3gA3OnzrQ0i0sqZW+YBPw36Li1bt9EXAtDTu4m83CyL04iIiIiISH2oSCY16jD0AgB6layirLTY4jQirZMZCNA9fykAEf0mWZxGGkJCl1TSbd2wGSbbln5kdRyRJvHcc8+RnJxMSEgIo0aNYtmyZbXOO3v2bMaOHUtMTAwxMTFMmDDhqPOLiIiINCUVyaRGKf1Gkk0soYaHLd/PsTqOSKu0Y/0y4sijxHTTY8SZVseRBpKVMBYAc+uXFicRaXzvvPMOt99+O/fddx+rVq1i0KBBTJo0iezs7BrnX7hwIZdddhkLFixgyZIlJCUlMXHiRPbu3dvEyUVERESqU5FMamTYbGTEnARAyQYVyUQaQ/bqisHdt4QNwR0SZnEaaShR/c8BIDV/KQG/3+I0Io3rySef5IYbbmDatGn07duXWbNmERYWxssvv1zj/G+88Qa33HILgwcPpnfv3rz00ksEAgHmz9fwDiIiImI9FcmkVs7eEwHonLPI4iQirVPUnoUAlCefZm0QaVA9R0ygyAwllgK2//id1XFEGo3H42HlypVMmDAhOM1mszFhwgSWLFlSp3WUlJTg9XqJjY2t8f7y8nIKCgqq3EREREQai4pkUqu00efjNe0kmZns3rbW6jgirUpRwSF6lq8HoMuI8y1OIw3J6XKzNWIYALlrPrU4jUjjyc3Nxe/3k5CQUGV6QkICWVl1u3DFjBkz6NSpU5VC25FmzpxJdHR08JaUlHTCuUVERERqoyKZ1CoyOpYt7v4A7F2uAahFGtLWpZ/iNPzsMRLpnNLP6jjSwLzdzwAgdu9Ca4OINGOPPPIIb7/9Nu+//z4hISE1znP33XeTn58fvO3evbuJU4qIiEhboiKZHFVhl3EAhO5aaG0QkVbGs7liUPe97cdYnEQaQ7fRFwLQw7uZvNy69agRaWni4uKw2+3s37+/yvT9+/fTsWPHoy77xBNP8MgjjzB37lwGDhxY63xut5uoqKgqNxEREZHGoiKZHFX8kHMB6FHyA+VlJRanEWkdzECApIOLAXD3mWRxGmkMCV1SSbclYzNMti1VT1xpnVwuF8OGDasy6H7lIPxjxtT+A8Bjjz3GQw89xJw5cxg+fHhTRBURERGpExXJ5KhS+o0kl3aEGeVsXTHP6jgircKe7WvpZGbjMR30GHmW1XGkkWQlnAKAufVLi5OINJ7bb7+d2bNn869//YuNGzdy8803U1xczLRp0wC4+uqrufvuu4PzP/roo9xzzz28/PLLJCcnk5WVRVZWFkVFRVbtgoiIiEiQimRyVIbNRnr0SAAK1+uLnkhD2LviEwC2hPQnPLKdtWGk0UT2ryiAds9fhhkIWJxGpHFMnTqVJ554gnvvvZfBgwezZs0a5syZExzMf9euXezbty84/wsvvIDH4+Hiiy8mMTExeHviiSes2gURERGRIIfVAaT5M1LPgFVz6ZC9yOooIq1C6M4FABQljbc2iDSqHsPOoGSumzgjjx0blpPSf5TVkUQaxfTp05k+fXqN9y1cuLDK3xkZGY0fSEREROQ4qSeZHFP3UecBkOrfQW6WriolciLKSoroWfoDAAlDz7M4jTQmd0gYW8MGAZC95jOL04iIiIiIyLGoSCbH1D6hC9vsqQBkLPvE4jQiLdvW5XMJNTxkE0ty72FWx5FGVppUcYXg8N3fWJxERERERESORUUyqZOcDicDYG7/yuIkIi1b8Ya5AGS0G41h01twa5c49BwAepatpaxEA5OLiIiIiDRn+oYmdRLZfyJQMQB1wO+3OI1Iy9Uxp2JsP3vPiRYnkabQtedg9tMet+Fl6/K5VscREREREZGjUJFM6qTHsDMoMd3EkUf6huVWxxFpkbJ2bSU5sBu/aZA2WuORtQWGzcbOdhUD9lf2IhQRERERkeZJRTKpk4oBqAcDkLP6U2vDiLRQu5Z9DMBWVx+iY+MtTiNNxd5zAgAJOUssTiIiIiIiIkejIpnUWWnX8QBE7NUA1CLHw5GxAIBDiWMtTiJNKXXkuQRMg+6BDHIzd1odR0REREREaqEimdRZp2GVA1Cvo6Qo3+I0Ii2L3+cjtWglADEDNB5ZW9IuriPbnD0ASD/cm1BERERERJofFcmkzpLSBrKPeFyGTwNQi9TT9h+/I5piCs1Q0gafanUcaWIHEiquEGzsWGBxEhERERERqY2KZFJnhs3G7tjRAJRuVJFMpD4OrP0CgG3hQ3A4XRankaYW3X8SACkFukKwiIiIiEhzpSKZ1Ivj8ADUibkagFqkPqL2LgLA022cxUnECmlDT6PYDCGWAnasW2p1HBERERERqYGKZFIvqaPOw28adAvsJmv3NqvjiLQIpcWF9ChfD0CnoWdbnEas4HKHsDV8CAA5P8yxOI2IiIiIiNRERTKpl+iYOLY6ewOwa9knFqcRaRm2LvsCl+Eji3i6pA6wOo5YpLxrRS/CSF0hWERERESkWVKRTOrtUKexADjSv7I4iUjLULJpHgC72o3AsOltt63SFYJFRERERJo3fVuTeosZcHgA6qKVGoBapA465FSM4WfrcbrFScRKXVIH/HSF4GVfWB1HRERERER+RkUyqbe0wadSZIbSjiJ2rNMA/iJHk5u1m5RABgApI86xNoxYyrDZ2BU7BoDSTV9anEZERERERH5ORTKpN4fTFRyAOvcH9YYQOZqMZZ8CsM2eSmyHzhanEas5e54B6ArBIiIiIiLNkYpkclzKkyrGJQvfu8jiJCLNm7ljIQC58aOtDSLNQurIc4NXCM7em251HBEREREROYKKZHJcEoecBUCPsrWUlRZbnEakeTIDAbrlfQ9AeN8zLU4jzUF0bDw7nGkA7Fz+mcVpRERERETkSCqSyXHp2nMw2cQSYnjZtnK+1XFEmqVdW9bQgYOUm056DFeRTCrkdqgYl4z0r60NIiIiIiIiVahIJsfFsNnYGT0cgMIN8yxOI9I87Vv9OQBbQvoTEhZhcRppLiL7TACgW/5yzEDA4jQiIiIiIlJJRTI5ft3HA9A+WwNQi9QkZPe3ABR1HmtxEmlO0oadQbnppAMH2bX1R6vjiIiIiIjIYU1SJHvuuedITk4mJCSEUaNGsWzZslrnnT17NmPHjiUmJoaYmBgmTJhw1PnFOt1GnANAqncr+QdzLE4j0rx4PeWkFa8BIH7QJGvDSLMSEhbB1pB+AGQd7m0oIiIiIiLWa/Qi2TvvvMPtt9/Offfdx6pVqxg0aBCTJk0iOzu7xvkXLlzIZZddxoIFC1iyZAlJSUlMnDiRvXv3NnZUqacOnbuz05aE3TDZvnyO1XFEmpVtqxcSYZRyiChS+o+xOo40M4WdTgHAtesbi5OIiIiIiEilRi+SPfnkk9xwww1MmzaNvn37MmvWLMLCwnj55ZdrnP+NN97glltuYfDgwfTu3ZuXXnqJQCDA/PkaHL45ymo/CgDv1q8sTiLSvOStmwvAjshh2Ox2i9NIc9N+wEQAUkvW4PN6LE4jIiIiIiLQyEUyj8fDypUrmTBhwk8btNmYMGECS5bUbRyrkpISvF4vsbGxNd5fXl5OQUFBlZs0HXfPMwDodGCpxUlEmpeYfd8B4E8eZ3ESaY5SB55MAeFEUcL2HxZZHUdERERERGjkIllubi5+v5+EhIQq0xMSEsjKyqrTOmbMmEGnTp2qFNqONHPmTKKjo4O3pKSkE84tdZcyYhJ+0yDJzCRr11ar44g0CwV5B0jzbgYgafg5FqeR5sjucLA9fAgAh9bpCsEiIiIiIs1Bs7665SOPPMLbb7/N+++/T0hISI3z3H333eTn5wdvu3fvbuKUbVtUu/Zsc/YCYNdKDUAtArB92ec4jAC7jU4kdutldRxppjxdTwUgMlM9yUREREREmoNGLZLFxcVht9vZv39/len79++nY8eOR132iSee4JFHHmHu3LkMHDiw1vncbjdRUVFVbtK0DnY8CQBb+tcWJxFpHjxbKsZQzGw/2uIk0px1GnoWAD3K11NaXGhxGhERERERadQimcvlYtiwYVUG3a8chH/MmNqv9vbYY4/x0EMPMWfOHIYPH96YEaUBRPU9E4DkghWYgYDFaUSs1/HgMgCcPU63OIk0Z11SB7Cf9rgMH9tW6pRLERERERGrNfrplrfffjuzZ8/mX//6Fxs3buTmm2+muLiYadOmAXD11Vdz9913B+d/9NFHueeee3j55ZdJTk4mKyuLrKwsioqKGjuqHKe0oeMpMd3EkUfGppVWxxGxVE5mBt0CewiYBqkjzrI6jjRjhs3GrnYjASjaqCKZiIiIiIjVGr1INnXqVJ544gnuvfdeBg8ezJo1a5gzZ05wMP9du3axb9++4PwvvPACHo+Hiy++mMTExODtiSeeaOyocpzcIWFsC604JXb/mjkWpxGx1s6VXwCww5FCdGy8xWmkuTNSxgMQl60rBIuIiIiIWM3RFBuZPn0606dPr/G+hQsXVvk7IyOj8QNJgyvpcgpsW07o7m+tjiJiqcCOirH5cuNHk2ZxFmn+koefDatmkOrbTl5uFu3ijj5ep4iIiIiINJ5mfXVLaTniB04EoEfJGryecovTiFinS94KAEJ7nWZxEmkJ4jp1I8PWFZthsmO5rhAsIiIiImIlFcmkQXTvN4pDRBFmlLNt9UKr44hYIjNjM53M/fhMG6nDJlgdR1qIrPajAPBuW2htEBERERGRNk5FMmkQNrudHZHDAMhb96XFaUSssWd1xXhk25y9iIiKsTiNtBQhvc4AoPPB7y1OIiIiIiLStqlIJg3GnzwOgHZZ31mcRMQatvRvADiUMNriJNKSpI6YhM+00cXcx76dm62OIyIiIiLSZqlIJg2my7BzAEjzbKao4JDFaUSalhkI0LVgJQCRvTUemdRdZHQs25y9ANizUlcIFhERERGxiopk0mA6Jfdir5GA0/CzfeU8q+OINKk929fSgYN4TAdpw86wOo60MHkdTwLASP/a4iQiIiIiIm2XimTSoPa2GwFA6eYFFicRaVqZq+cCsNXdl5CwCIvTSEsT1e9MALoXrsAMBCxOIyIiIiLSNqlIJg3KlloxLllczlKLk4g0LeeubwEo6DjG4iTSEqUNPY0S00178snYuNzqOCIiIiIibZKKZNKgkodOAiDFt4P8A/stTiPSNAJ+P8lFqwFo10+nWkr9udwhbAsdAMD+H3W6uoiIiIiIFVQkkwYV16kbO21J2AyT7SvmWh1HpEns3LSCWAooMd2kDh5ndRxpoYo7VYxL5t69yOIkIiIiIiJtk4pk0uCyYivGJfNu1bhk0jbs/+FLALaFDsDlDrE4jbRU7ftPACC1ZA1+n8/iNCIiIiIibY+KZNLgXD3GA5BwcJm1QUSaiHvPd8BPPYFEjkfKgDEUEEYUJexYu9jqOCIiIiIibY6KZNLgug+bRMA0SA7sJjdrt9VxRBqV3+cjtWQN8FNPIJHj4XC62BE2CIAD6zQumYiIiIhIU1ORTBpcu7iO7HCkAJCxco7FaUQa1461i4mihALCSBmgK1vKiSnrcjIAYXvVk0xEREREpKmpSCaNIjduJACB7V9bnESkcVX2+NkRNgiH02VxGmnpOgycCEBa6Y94PeUWpxERERERaVtUJJNGEdrrdAA6HVpucRKRxlXZ46eyB5DIiUjuM5xDRBFmlLN9zTdWxxERERERaVNUJJNGkTr8THymjS5mFvt2brY6jkij8HrKSSv9EfipB5DIibDZ7aRHDAbg0HqNSyYiIiIi0pRUJJNGEREVwzZnLwB2r5prcRqRxrF9zTeEGeUcIpLkPsOtjiOthLfrWACi9i2xOImIiIiISNuiIpk0mkMJowAwMnTKkLROlT190iOGYLPbLU4jrUXi4MPjkpVvoKy02OI0IiIiIiJth4pk0mgie1eMS9YtfwVmIGBxGpGGV9nTp7Lnj0hDSEobSA4xuA0v21Z9ZXUcEREREZE2Q0UyaTRpw87AYzrowEH2bF9rdRyRBlVWWkxa+QYAOg7SeGTScAybjZ1RwwAo3KgimYiIiIhIU1GRTBpNSFgEW919Achc86XFaUQa1rZVX+E2vOQQQ9ceA62OI62MmXwqADH7l1qcRERERESk7VCRTBpVQeJJADh2fmtxEpGGVdnDZ2fUMAyb3kqlYXUeehYAqZ7NFBfmWRtGRERERKSN0Dc7aVQxfc8AoHvRKgJ+v8VpRBpOu8M9fALdNB6ZNLxOyb3INDrgNPxsXzHP6jgiIiIiIm2CimTSqFIGn0qJ6SaWAnZuWmF1HJEGUVyYR5pnMwBdDvf4EWloe6KHA1CyWeOSiYiIiIg0BRXJpFG53CFsC60Yr2n/DxqXTFqH7Svm4TT8ZBod6NS9t9VxpJWypYwDoH3O9xYnERERERFpG1Qkk0ZX0rliXDL3nu8sTiLSMIq3LAB+6ukj0hi6Da/opZji207+wRyL04iIiIiItH4qkkmjaz/gTADSilfj83osTiNy4uIO9+yxpZxqcRJpzeI7JbPL1hm7YbJjxRdWxxERERERafVUJJNGl9J/DAWEE2mUsmPtEqvjiJyQ/EO5pHi3AdB1mMYjk8a1L2YEAOVbF1obRERERESkDVCRTBqd3eFge9ggAA6s01XapGVLXzEXu2Gyy9aZDp27Wx1HWjlH6ngAEg4stzaIiIiIiEgboCKZNInypFMACM9cbHESkRNTtrViPLLKHj4ijan78IkV/wYyOLB/j8VpRERERERaNxXJpEkkDKr4opdWuhZPeZnFaUSOX0LuMuCnHj4ijSm2Q2d22JIByFipcclERERERBqTimTSJJJ7D+MgUYQZ5Wxf87XVcUSOy8HsvXQPZAA/9fARaWzZcaMA8G3Xe6eIiIiISGNSkUyahGGzkR45DIC89fMtTiNyfNJXzK3415ZMbIfOFqeRtiKkx3gAOh3UuGQiIiIiIo1JRTJpMr6uYwGIytK4ZNIy+bYvBGB/3Ehrg0ib0n34RPymQZKZyf49262OIyIiIiLSaqlIJk2m85BJAPQo30hpcaHFaUTqr9PBivHIQnqcZnESaUuiY+LY7uwBwC6NSyYiIiIi0mhUJJMm0zmlL1nE4TJ8bFs5z+o4IvWSvTedJDMTv2loPDJpcgfiD/deTP/G2iAiIiIiIq2YimTSZAybjd3RFeOSFW1aYHEakfrZtXIOADucaUTHxFmcRtqa8F6nA5CUtwIzELA4jYiIiIhI66QimTSt7qcCEJv9vcVBROonsKOiB09u/CiLk0hblDZ8Al7TTkdyyMzYbHUcEREREZFWSUUyaVJJQyvGJUv1bqGo4JDFaUTqrkv+CgDCe2o8Mml6YRHRbHP1BmDv6jkWpxERERERaZ1UJJMm1bFrD/YYHXEYAbav+NLqOCJ1kpm+iU5mNl7TTurwCVbHkTYqP2E0ALadiyxOIiIiIiLSOqlIJk0uM2YEAKWbv7I4iUjd7FlV0XNnm6sX4ZHtrA0jbVZknzMASC7QuGQiIiIiIo1BRTJpcrbUcQDE5S6zOIlI3dh2fgtAfsIYi5NIW5Y6dDxlppM48ti1ZY3VcUREREREWh0VyaTJJQ+rGJcsxbeD/AP7LU4jcnRmIEC3gpUARPTReGRinZDQcLaF9AMg6wedri4iIiIi0tBUJJMmF9exKxm2JGyGyfYVc62OI3JUu7b+SDyHKDedpA093eo40sYVJlb0ZnTu0rhkIiIiIiINTUUyscT+2IpxybxbF1icROTosn6oKORuDelHSGi4xWmkrYvpWzEuWUrxKgJ+v8VpRERERERaFxXJxBKuHuMBSDi43NogIsfg3FUxHllhx9EWJxGB1MGnUmK6aUcR6Rv0/ikiIiIi0pBUJBNLdB82iYBpkBzYRW7WbqvjiNQo4PfTvWg1ADH9JlicRgScLjdbQwcCkPOjTlcXEREREWlIKpKJJdrFdSTd0R2AjJVzLE4jUrOMjSuIoZAS003q4FOtjiMCQGnnkwAI2bvY4iQiIiIiIq1LkxTJnnvuOZKTkwkJCWHUqFEsW7bsqPO/++679O7dm5CQEAYMGMBnn33WFDGlieXEjQLAv/0bi5OI1Cz7cE+dbaEDcbrcFqcRqdB+wJkApBavwef1WJxGRO08ERERaT0avUj2zjvvcPvtt3PfffexatUqBg0axKRJk8jOzq5x/sWLF3PZZZdx/fXXs3r1aiZPnszkyZNZt25dY0eVJhbaazwAnQ9pXB1pnkL2fAdAyeGeOyLNQUr/MRQQTqRRyo616k0m1lI7T0RERFoTwzRNszE3MGrUKEaMGMHf//53AAKBAElJSfzmN7/hrrvuqjb/1KlTKS4u5pNPPglOGz16NIMHD2bWrFnV5i8vL6e8vDz4d0FBAUlJSeTn5xMVFdUIeyQNpTD/IKFPpuIwAmRdv5KOSWlWRxIJ8nk9lP65K5FGKVsnf0KPwWOtjiQStPqxsxlSspglKb9lzNUPWR2n1SgoKCA6OlptiHpobe28Ja/dQ9yuzzExADCxYcOP1xZCuSOSMM8BfLYQfHY3Yd5DBLBjYuBxhGNi4PIXA+C3ufDawwj35FJuD8cRKMcZKMcgQMBwgGliGjYMTHyGEwCPI4IQbwE2/ASwYze9GJgUO2MI9RVgmAG8thC89hBMw47TX0q5IxKHvxS/PQSnrxi3vxiDQEVu049p2AgYdryGGwMTR6Acrz0Urz0Uvz0EtycfV6AkuP+ljmhspg+3rwiPPRSfPQx7oByvPQyXrxhHoAwTGx5HBC5fEXZ8wWNlYGKYAcockTj9ZRgEKLeHAwYh/kJKHVG4fcXY8FPqaIc94KHcFR3MEMAOmLgC5fgNO37DQbkjCtMw8NvcRJTvx256AYNSRxSG6ccZKMdnc+Pyl1DijMHlK8ZrDyXEV4Df5sJjD8cwffjtIQRsToyAD4e/DK8zAru/HLe3AAwDTJNyZyThngN4bBXHJ9SXj0HF16Ryezj2gBefzY3d9OIIlGNgBve9xBlLwO4CwOUtwGsPx+3Nx2mWE8BGuSMKl68Ip1lGsTMWALevGIfpwTAD+G3O4GNQZo/EGSjDMP147aE4/aWUOaII9eXjs7nx2VxEeA7gtYVgw0+ZPaJi30w/od58TMOG33AElw0+VmbFY+Wxh2EadkJ8BVX2wWe4KHPF4vIV4PSXYcNPuT0cny0Et68Au+nDbnrx2kIpd0Tg8JcS4i8igJ2AYcfApNQRTZgvDxMDv+HEaw8j1JdHqSMat68QGwEC2LCbPsrtYfgOv0Y8tlC8jnAc/lJMw4bDX44NPybG4deIC9Ow4wqUVBwvw0mZIxJHoAx7wIfTLAOoeA4ZBgHsh19HNkpdFcfb6SvBESin2B2PaXNimD4cvlKc/mI89nBc/hLAxG768BtObKaPUlcsYZ4D2E1fxbqcMfgcoTh8Jbh9hZQ5orCZPkJ9BZQ4Ywj15WNiUOqIxhHw4AhU7Eflc8Rvd+PyFmCYfspdMRXPFUcEJjbCPLmHn99Q6miH21dAwHDgtzlx+4sPH1MHAA7TS5k9suI9wvRX5DMclDsiCdicOHwV70M+eyimYcfhL8HpL8VrD8XhL8cVKKXcHkbAcOD0lxEw7JS5YzECPkK8edhNX/Cx9OOg3BGBARXHyhGJPVCO+/B7ndcWgttfTAAbZY5IDExspp9QXyF+w47X5sZvcxEw7IR7D+EznHjtobj9xXhsoYCJM1BOuT08+Ly0m14ChoMAFe+RBubh55kt+Pg4AuWUHz52AZsDt7cQA5NyRwQhvgK8ttDD77d2fPZQ3N4CvIePh8tXiM0MBB+bivd6g2JXPKbNDiaEenJxmN7ge3yJOx6nr5AQfxHlh58vpc52uHxFOExvlcfHbvqCmSs/P+wBL2XOaAKGg4jy/ThMH4HDr9XK90+PLYRQXyHl9nBKQjoQWpaDjQAeexiGWbEvbl8RNvwYmPgNJ6XOGFy+Itz+Ikqc7QjxFVZ8BhkOHAEPhSGdsJleHP5SHP6Kz9LK/fYbDsqc7QCCj3vAcGACpe547L6SiueA4cQEyp3RBGxOnN5CHIGfPpdtph8bgeB7SeVnZ+VnkUEAn81NiK8Qv81JABseezjOQNnhmU1MwyBgOHD7iyl0JzDkzs9//vHcIOraznM0ytYP83g8rFy5krvvvjs4zWazMWHCBJYsWVLjMkuWLOH222+vMm3SpEl88MEHNc4/c+ZMHnjggQbLLE0nMjqWzc4e9PJtZvfKL1Qkk2Zlx9ol9DRKKSCclP5jrI4jUkV50imweTHhmd9ZHUXasNbYzrPl76KHb2vNdx7t7Gbfcd53JG8t0/0/+/+R8x3PGdf+o9x3ZNa6zne09fuO8f9j5a9tOzVlq5zmO+Lv2o5peQ3TjrbcsR7D+tzvT69+f6CWeX01TPv5MrVt2/uzf2taf23LHG3eox3Xn8/vrWV65Xrqss7a1PV19fP5fJuqz1PX/fn5866210tN2X4+rfK5f7Tn4tHUNM+xjuGR9/98X4722PuOMt+Rjva6rG3dR5t2LHVdd6VjHR/flqPct7H6Nuqbua7zBwDv+p/+Plruoz2mAMXbjr6t2tZd0/T6vkZrcqz3LWBPaUntdzaRRi2S5ebm4vf7SUhIqDI9ISGBTZtqeIMCsrKyapw/KyurxvnvvvvuKo2tyl8YpWU42GE0ZG6G9G+AW62OIxJ0YN08ALaHDWKIo1HfKkXqLWHgBNj8GGml6/CUl+Fyh1gdSdqg1tjO63DGdH7IOhtvaSGGYSPgLcew2fGX5AFgONyYvjIw7Lhju+AtOoDhcOEvyQdMDHtFjyAz4IeAH1e7jnjy92PYHLhjuxDwluL3efAX52FzuHBGxuMpyAZMTJ8HDANXdAK+0iJcUe3xe8rwFmRjOENxRycQ8JbiKysm4CmBwOFvRIYNzACG3YmrXSJ2p5uA3wcE8OTtxxnVAV9JHgG/D3d0Ar6yYvzlRZjlRZgBH46IOJwRMZgmePL2gWniju2Er6wUf3khps8LAS/YHNhDowh4yzG9ZdjD2+EMjcRbWojN5iDg92JzuAh4SjFNE2dYO3ylBfjLCsA0ARMMO46IWHxFByt6cAV8GK5w3NHxeAoPgt+Lq10ihmHDW5qPr+gAhw8ozuiOOEOjKC86gL8kH5szBEdoJN6SAgj4MH3l2MNj8ZcW4giPxbA78JfmE/CWHT5WJmCAzQ6Bym9oBobDhc0djr+0kJD2nSv2u+QQjsh47M7Dvfzy9mM43AS8pZiBAI7wdjhCwoPPE1/RATAPf/uzOSDgwx4ajTMiBl9ZKb6iHAxnCO7oDpTlVlzV3eYOr3hMfR58pQU4w6ODj4HNGVrxGB+ez19agDMqHn95Cfi9uGO7UJ6/H2dYOzwF2Zj+ioqLPawdgfJibM5Q/GWFGHYHpt+LYXdiD22H6fdUPD6+MgxHCM7IOLyFOdjc4Zg+D/7SAhzhMZimiSM0Cm/xQUxPKYbDBTY77ugOlOdnY3rLMOwuQmK7YJo+vEV5GA43vqIcXO06YQZ8+IoPYQb8uGM6U35oL47w9tidbsoP7cFwhlS8vsqLccV0xvR78ZcWgM1OwFuOPSyKQFkxZsCHYbNXvO4CfpzhMfjLi7G7wyuy+bwYNhuOsHY4QqMwA17MgIm36CCOsGg8h/ZiBnzYXGHYQiKwO1yUH9wDpolhs4PNjmF3Bo8RgCMiDn9pQcXrvjQPe3gsrvBYAgFfxbIBHxgVvR5Nvw9HeAx2dxjlB/fiik2CgA9vYS6G3YnNefiz2TDwl+ZXvE5dYYf3vSj4XAGwh8fiDIvCNKH84B4c4e0xfeUE/B5sDjf+siIMmw0wcEV1wFOwHzMQwLDZKl6XZUUEfOVgBjADfgybI7htmzui4vlaeODw8yQaM+DHX1qIzek+vK/5wdeDPTQKX9FB3LFd8BTmYnpLK1Z1+FjZHG5c7RII+Hx4iw9hmIGKx7/44OE87XC3SyDg9+EtOoi/5NDhdbsJlOZhC4/FMOyYph/TU4ojoj1+TwmBsiJsIRG4ojrgKz4Ehg2bKwy704mn8CCmz4M9NBLT58EZEYO3KA9/eTGYfhwR7bE53HgLc3BExOEryas4zp4SDJsde1g0vsIcDEcI9tBoAp4SnJHtMQ53fvJ7vXjz9gY/C+xhMTjCoiseS4cLf/FBDEcIrugEyg9lYg+NxF+Sh2F34YrqQMBXju/w54Q9NAq7Kwxv0UEAAp5i7CFRh48xuGI64wgJxwwE8JUWYJpg+srxlxcTGp+MpyAbX9EBDGcozohYvEUHMX1l2N0RGK5QDMOGIzQCT8EBAuVF2MNjsLvC8ORl4oiIx1d8EJszBLu7YprNFYbNHV7xvlBagOF0YRg2/KWFmL7y4GebPTQaX1Hu4ed2Ra9dd/uu+IoOYJqBis8oTLA5Kl4/h9lCInCGRuIrKz78fm3iLyuq+Bw0/djD2mH6PITEdMJbVkzAW1rxPuUOJ1Begukrx7A7MWx2XO0SsTmcdKn9Y7pJtPhvfm63G7dbA2q3VBG9T4PMf5GUvyL4Ri/SHIRnVoz1VJ50isVJRKrr1ns4B4ki1ihg45qv6TNqktWRRBpFU7fzuvcdAX1HNNn2REREpHlp1IpEXFwcdrud/fv3V5m+f/9+OnbsWOMyHTt2rNf80rKlDZuAx7TTkVwyMzYeewGRJuApLyOtdC1wuMeOSDNjs9tJjxgKQN76+RankbZK7TwRERFpbRq1SOZyuRg2bBjz5//UgA8EAsyfP58xY2oe42fMmDFV5gf48ssva51fWrbQ8Ei2ufsCsHfVFxanEamwfc3XhBnlHCSKbr2HWx1HpEa+rhW9HKOyah77SaSxqZ0nIiIirU2jn9t2++23M3v2bP71r3+xceNGbr75ZoqLi5k2bRoAV199dZUBX3/3u98xZ84c/vrXv7Jp0ybuv/9+VqxYwfTp0xs7qlgkP2E0APad31qcRKRC3oavAEiPGIrNbj/G3CLW6DRkIgA9yjdQVlJkcRppq9TOExERkdak0cckmzp1Kjk5Odx7771kZWUxePBg5syZExy0ddeuXdiOGIfqpJNO4s033+T//b//x5/+9Cd69OjBBx98QP/+/Rs7qlgkuu8ZsHs23QpXaVwyaRai9lWMR+brNtbiJCK165I6gGxi6WAcZN3K+fQfe6HVkaQNUjtPREREWhPDNE3T6hANqaCggOjoaPLz84mKirI6jtRBeVkJ5syuhBhedk79im59hlkdSdqwspIibI92w2X42H3FNyT1GGR1JJFarXjyYoYXfMmSztMYc8PTVsdp8dSGaP70GImIiMjxqGsbQl12xHLukDC2hlT8gpz1w1yL00hbt23VV7gMH9nE0iV1gNVxRI4q0P1UAGL2L7U4iYiIiIhIy6cimTQLRZ1OAsC5+zuLk0hbV7ixYjyyndHDdeqvNHtdhkwCINW7haKCQxanERERERFp2fQNUJqFmH5nAJBavIqA329xGmnLKnvkmMkaj0yav07Jvcg0EnAafravnGd1HBERERGRFk1FMmkW0gaNpcgMJZpidqzTaUNijaKCQ6R6twCQNHSSxWlE6mZPu+EAlG5eYHESEREREZGWTUUyaRYcThfbwwYCkLtOvSHEGttXzsNp+NlrJJDYrZfVcUTqxHZ4XLL2Od9bnEREREREpGVTkUyajdLOFeOShe7RuGRijcqeOHsP98wRaQm6DT8LgFTfdvIP5licRkRERESk5VKRTJqNuAFnApBa8iM+r8fiNNIWxeVUnOprSxlncRKRuovvlMwuW2dshsmOFV9YHUdEREREpMVSkUyajZT+o8knnAijlO0/LLI6jrQx+QdzSPHtACB52FkWpxGpn30xIwAo37rQ2iAiIiIiIi2YimTSbNjsdnaEDwHg4HqNSyZNa8eKL7AZJjttXYjr1M3qOCL14kwbD0DCgWXWBhERERERacFUJJNmxZN0CgARmUssTiJtjWdrxXhkWbEjLU4iUn/dD49L1j2wkwP791icRkRERESkZVKRTJqVjoMmApBWto7yshKL00hb0uHAcgCcaRqPTFqemPhEdtiSAchYqXHJRERERESOh4pk0qx07TWEXNoRanjYvvprq+NIG3Fg/x66B3YC0H3YJIvTiByf7LiKXpC+7d9YnEREREREpGVSkUyaFcNmY2fkUADyN35lcRppKzJWzAFguz2FmPhEi9OIHJ+QHqcB0OmgxiUTERERETkeKpJJs+PrWjEuWXSWxiWTpuHbXtFrMSdulMVJRI5f9+ET8ZsGSWYm2XvTrY4jIiIiItLiqEgmzU7nIRWnu6WVb6C0uNDiNNIWdD5UMR5ZaK/x1gYROQHRMXHscKYBsGvlHIvTiIiIiIi0PCqSSbPTOaUvWcThMvxsW6lTLqVxZe3aShdzHz7TRsqwiVbHETkhufEVvSEDOzQumYiIiIhIfalIJs2OYbOxO3oYAEWb5lucRlq73asqrgS43dmTyOhYi9OInJjwXqcDkJS33OIkIiIiIiItj4pk0jx1PxWA2OylFgeRVi+9osfNwYTRFgcROXGpw87Aa9pJJIfM9E1WxxERERERaVFUJJNmKWloxbhkqd6tFOYftDiNtFZmIEDX/BUARPY+3eI0IicuPLId21y9ANizSuOSiYiIiIjUh4pk0ix17NqDPUZHHEaAHSvnWh1HWqk929eSwAE8poO0YWdYHUekQeQd7hVp2/mtxUlERERERFoWFcmk2cqMGQFA6eaF1gaRVitzdUUBdqu7LyFhERanEWkYkX0qekV2K1iJGQhYnEZEREREpOVQkUyaLVvqOADicpdZnERaK+euip42BYknWZxEpOGkDT2dctNJPIfYtfVHq+OIiIiIiLQYKpJJs5U8rGJcshTfDvJysyxOI61NwO+ne9FqAGL66lRLaT1CQsPZ5u4LQNYPOl1dRERERKSuVCSTZiuuY1cybEnYDJP0lV9YHUdamYyNK4ihgBLTTcrgU62OI9KgChLHAD/1lhQRERERkWNTkUyatf2xIwHwbP3a4iTS2mT/WNHDZlvoQFzuEIvTiDSsmH4TAOhetIaA329xGhERERGRlkFFMmnWXD0qxiVLOKhxyaRhhez5DoCSzhqPTFqf1MGnUmK6iaGAjI0rrI4jIiIiItIiqEgmzVr3YZMImAbJgd3kZu2yOo60Ej6vh9TiNQC0H3CmtWFEGoHT5WZb6EDgp16TIiIiIiJydCqSSbPWLq4j6Y7uAGRoXDJpIDvWLibSKCWfcFL6j7E6jkijKOlU8dx271lscRIRERERkZZBRTJp9nLiRgEQ2K5xyaRhHFj7JQA7wodgdzgsTiPSOCp7SaaWrMHv81mcRkRERESk+VORTJq90F7jAeh0aLm1QaTViMis6FnjSTrF4iQijSdlwEkUEEYUJexYq95kIiIiIiLHoiKZNHspwybiM210MbPI2rXV6jjSwpWXlZBW9v/bu/PwKus77+Of+2Q5SSALgYQQkpAVEhJAIBBZVARks1RHp9ZH2rpQ7XTEfTqDM5fTzuNYpp1afbSOLWOts0i1rRugoggKgpCwCLIkIQlbSAghhORkgWznfv6IpcWyBMjJ7yzv13Wd64KTnJw3Jxp+58t9/+7dkqSEMbMM1wCeExQcrIqIqyT96ehJAAAAAOfHkAxeLzI6VhUhWZKkyu3sS4YrU/H5OoVb7apTjFJGjDWdA3hUW9IUSVJENUeSAQAAABfDkAw+oT7+6u5fHFhvNgQ+r3HvR5Kkg5HjZTn4EQj/Fj+6e1+yzFO71N522nANAAAA4N14hwif0D/7eklScuM22W634Rr4spiaTZIkd+o1hksAz0vNyddJRSnCatP+HfwjAwAAAHAhDMngEzLHz1S7HaQE1alq/17TOfBRrc2NymwvkSQNHTvHcA3geY6gIB3o331a8cm9awzXAAAAAN6NIRl8Qni/SJU7R0qSqnd8aLgGvqp860cKsbp0VHFKTB1hOgfoEx0p3VdxjTq6yXAJAAAA4N0YksFnNA7u3pcs6NCnhkvgq1pK10qSKmMmsB8ZAsaQq7qv4prZtlenT7UYrgEAAAC8F+8S4TOiR86QJA1r2s6+ZLgsg44XSpIc6dcaLgH6TnLmaNUqVk6rQ+Xb15rOAQAAALwWQzL4jIyx1+mUHapBatDh0s9N58DHNNYfV3pHuSQpZTz7kSFwWA6HDkeNkyQ1FTMkAwAAAM6HIRl8hjMsQuVhuZKkmp3sS4ZLs3/rBwqybB12DFX80DTTOUCfslO7j54ccGyz4RIAAADAezEkg09pTpwsSQqt3GC4BL6mrewTSdLRARPMhgAGDB07W5KU0V6qlqYGszEAAACAl2JIBp8yILd7X7L0ls/l7uoyXANfMvhEkSQpJHOa2RDAgMS0bFVb8QqxulSx9SPTOQAAAIBXYkgGn5I55ho12+GKVov27+a0IfRMXU2l0tyHJElp+exHhsB0JDpfktRayr5kAAAAwLkwJINPCQ4JVUXEaElS3a7VhmvgKw5ufV+SVBGUpgFxQwzXAGY40q+TJA388iqvAAAAAM7GkAw+59TQ7n3Jwqs+M1wCX+Eu/1iSdDxusuESwJzUifMkSRmdFWqoqzFcAwAAAHgfhmTwOYNG3SBJymzdqY72NsM18Ha2262Uhu79yCKyZxiuAcwZlJCiA45hcli2KoreN50DAAAAeB2GZPA56XlX66Qi1c86rYod603nwMsdqdilBNWp3Q5W1oRZpnMAo44NulqS1FnOvmQAAADAVzEkg89xBAXpQP9xkqSTuz80XANvV719lSSpzJmr8H6RhmsAs8Kzp0uSkk6yLxkAAADwVR4dktXX12vBggWKiopSTEyMFi5cqObm5gt+/gMPPKARI0YoPDxcKSkpevDBB9XY2OjJTPigztRpkqSYoxvNhsDrhR7uPtqwKXGq4RLAvIz82eqwgzTUPqaq/cWmcwAAAACv4tEh2YIFC7Rnzx6tXr1aK1eu1Pr163Xfffed9/Orq6tVXV2tn/3sZ9q9e7deeeUVrVq1SgsXLvRkJnxQ0vjuDagz20vU7DppuAbeqquzUxkt2yVJsaM51RLoHzVAZaE5kqQj294zXAMAAAB4F48NyYqLi7Vq1Sq99NJLKigo0NSpU/X888/rtddeU3V19Tkfk5eXpzfeeEPz589XRkaGpk+frqeeekorVqxQZ2enp1LhgxLTsnXESlCI1aXyLR+YzoGXqvhig6LUKpcilDGaI8kASWocMkWSFHJoneESAAAAwLt4bEi2adMmxcTEKD8//8x9M2fOlMPhUGFhz/dCaWxsVFRUlIKDg8/58ba2NrlcrrNuCAxVsQWSpNMlHxkugbeq/6J7z7qKfuMUdJ6fIUCgGZDXfYXg9OZtcnd1Ga4BAAAAvIfHhmQ1NTWKj48/677g4GDFxsaqpqamR1+jrq5OTz755AVP0VyyZImio6PP3JKTk6+oG74jJKt7A+qEE5sNl8BbRVZ/KklqH3ad4RLAe2Rcda2a7XDFqFkVuz4znQMAAAB4jUseki1evFiWZV3wVlJScsVhLpdLN954o0aOHKkf/ehH5/28xx9/XI2NjWdulZWVV/zc8A0ZE+bKbVtKdVeqtuqA6Rx4mdbmRmW17ZUkJY6ba7gG8B4hoU6V9RsrSar7gisEAwAAAH90yecfPfbYY7rrrrsu+Dnp6elKSEhQbW3tWfd3dnaqvr5eCQkJF3x8U1OT5syZo8jISL311lsKCQk57+c6nU45nc4e98N/RA8crH0hWRreuU+Htryn+KH3m06CFynf+pFGW52qUZyS0nNN5wBepS35Gqn0M/Wv+tR0CgAAAOA1LnlIFhcXp7i4uIt+3qRJk9TQ0KBt27Zp/PjxkqS1a9fK7XaroKDgvI9zuVyaPXu2nE6nli9frrCwsEtNRAA5ET9Jqt4na//HkhiS4U9aS9ZIkg7HTFCCw6MX8gV8zpCxc6TSn2j46d063dqssIj+ppMAAAAA4zz2zjEnJ0dz5szRvffeq6KiIm3cuFGLFi3S7bffrsTERElSVVWVsrOzVVRUJKl7QDZr1iy1tLTo17/+tVwul2pqalRTU6MuNhfGOUTmdm9AneraItvtNlwDbxJ3fJMkyZF5veESwPukDL9KtYqV0+pQ2dY1pnMAAAAAr+DRwyteffVVZWdna8aMGZo3b56mTp2qpUuXnvl4R0eHSktL1draKknavn27CgsLtWvXLmVmZmrIkCFnbuw1hnPJGj9Dp+xQDVKDDpZsM50DL1FfW6WMrv2SpLQJ8wzXAN7Hcjh0KHqCJKm5mCsEAwAAANJlnG55KWJjY7Vs2bLzfjw1NVW2bZ/5/bRp0876PXAxzrAIfRE+WqNPb9WxHauUNnKC6SR4gf1b3lOspIqgNGUMTjKdA3glK+N6afsHGlTLFS4BAAAAycNHkgF9oTVpqiQpvHK94RJ4C3f5x5Kk44OuNlwCeK/U/O6jLDM6K9RQV2O4BgAAADCPIRl8XtyYuZKkrNadam87bbgGptlut1JOdu9zGJE903AN4L0GJQ7TQUeKHJat/VveN50DAAAAGMeQDD4vbeQE1StKEVabyrd/bDoHhlXt36sEHVe7HazMCTeYzgG8Ws2XR1t2lK01XAIAAACYx5AMPs8RFKT9kd17kbn2rDZcA9OqtncfEVPmHKmI/tGGawDvFp49Q5KUdLLQcAkAAABgHkMy+AU77TpJ0oCajYZLYFrIoe696VyJUwyXAN4vI3+2OuwgDbWPqWp/sekcAAAAwCiGZPALyV9uQJ3ZUSpXwwnDNTClq7NTGS3bJEmxebMM1wDer3/UAJWHZkv601GYAAAAQKBiSAa/kJCSpUorUUGWrYoi3ugFqoovNipaLXIpQhljpprOAXxCw5Duoy6DD35iNgQAAAAwjCEZ/Eb1wO4NqNv3rTFcAlPqv/hAklQRMVbBIaGGawDfMCC3+wIX6c3b1NXZabgGAAAAMIchGfxG6PDuDaiH1LMBdaCKqu7ej6w9dZrZEMCHZIy9Tk12uGLUrIovNpjOAQAAAIxhSAa/kTFxrrpsSynuKtUcLjOdgz7W1FivrLa9kqSk/PmGawDfERLqVHn/8ZKkEzs5XR0AAACBiyEZ/EZUzECVhXRvQH14y7uGa9DXygvfU4jVpSPWEA1NzzGdA/iU9tTrJUkxXx6NCQAAAAQihmTwKycTr5EkBR9gX7JA0166WpJUNXCS4RLA9yRP6D76Mqu9hCsEAwAAIGAxJINfGTB6jiQps3mbOjvaDdegLyXVb5IkObNnGS4BfE9i6ghVWokKttyqKFxpOgcAAAAwgiEZ/ErWVdepUf0UpRaV7+C0oUBxpHy3htrH1G4HKatgrukcwCdVD5osSWov/chwCQAAAGAGQzL4laDgYJX3nyBJOvkFG1AHiqpt3Ue+lDlz1S8yxmwM4KPCcm6QJKXUb5LtdhuuAQAAAPoeQzL4HXf6dElS7NFPDZegrzgPfSJJcg291mwI4MOyJs5Vux2sITquyvIvTOcAAAAAfY4hGfzOsIKvS5KyOvapoa7GcA08rb3ttLJaPpckxV01z3AN4Lsi+kdrX1ieJKl6G1cIBgAAQOBhSAa/Ez80TQccw+SwbDagDgBlW9eon3VaJxSt9LyrTecAPq35y6Mxww9/YjYEAAAAMIAhGfzSsfipkqSusjWGS+Bprj2rJEkHoibKERRkuAbwbXFjb5QkZbXuVNvpVsM1AAAAQN9iSAa/1G/kbElSasNmNqD2c3HHNnb/InOG2RDAD6TnTlSdYhRhtalsy2rTOQAAAECfYkgGv5Q1YaZabafiVa+DxVtM58BD6moqldlVIUlKK5hvuAbwfZbDoQPRBZKk5j0fGK4BAAAA+hZDMvilsPB+KosYI0k6tp0NqP3VwaLuPefKgzI0cHCS4RrAP1hfHpUZX7vRcAkAAADQtxiSwW+dSrlektT/yDrDJfCY8u49544PnmI4BPAf6QVfk9u2lO4+qLrqQ6Zz4MXq6+u1YMECRUVFKSYmRgsXLlRzc/MFP/+BBx7QiBEjFB4erpSUFD344INqbGzsw2oAAIDzY0gGvzU0v3sD6uGnd6u1mQW4v3F3dSnNVSRJisqdY7gG8B+x8UNVEZwhSTpQtMJwDbzZggULtGfPHq1evVorV67U+vXrdd99953386urq1VdXa2f/exn2r17t1555RWtWrVKCxcu7MNqAACA82NIBr+VlDFK1Va8Qq1OlRW9bzoHvWz/7s0aqEa12GHKymfTfqA31SV0XyHYqlhruATeqri4WKtWrdJLL72kgoICTZ06Vc8//7xee+01VVdXn/MxeXl5euONNzR//nxlZGRo+vTpeuqpp7RixQp1dnb28Z8AAADgLzEkg9+yHA5Vxk6WJJ0u5ipt/ub4jvckSWX9xirUGWa4BvAv0XndR2dmNG2Ru6vLcA280aZNmxQTE6P8/Pwz982cOVMOh0OFhYU9/jqNjY2KiopScHDwOT/e1tYml8t11g0AAMBTGJLBr4WOuEGSlFj3meES9LaoqvWSpLZh08yGAH4oa/x0NdvhGiCXynduMJ0DL1RTU6P4+Piz7gsODlZsbKxqamp69DXq6ur05JNPXvAUzSVLlig6OvrMLTk5+Yq6AQAALoQhGfxaZsE8ddhBSrarVbW/2HQOeomr4YSGt+2RJCVNuMlwDeB/QkKdKus/XpJ0YgdXCA4kixcvlmVZF7yVlJRc8fO4XC7deOONGjlypH70ox+d9/Mef/xxNTY2nrlVVlZe8XMDAACcz7mPbQf8RGR0rPY6R2pk+y4d2bpCQ9NzTCehF5RvWq5xVpcOOZI0jO8p4BEd6TdIuzZoYPXHplPQhx577DHdddddF/yc9PR0JSQkqLa29qz7Ozs7VV9fr4SEhAs+vqmpSXPmzFFkZKTeeusthYSEnPdznU6nnE5nj/sBAACuBEMy+L3GoddKB3bJeXCtpL83nYNe0Fn6oSTpaNw1Gma4BfBXaZNulnb9UJkdZTpx7IgGDk4ynYQ+EBcXp7i4uIt+3qRJk9TQ0KBt27Zp/Pjuow7Xrl0rt9utgoKC8z7O5XJp9uzZcjqdWr58ucLC2FMSAAB4D063hN8bPL77dLzhLdt1+lSL4RpcKXdXl9IbuveY658313AN4L/iElNVHpQhh2Vr/+blpnPgZXJycjRnzhzde++9Kioq0saNG7Vo0SLdfvvtSkxMlCRVVVUpOztbRUVFkroHZLNmzVJLS4t+/etfy+VyqaamRjU1NeriAhEAAMALMCSD30sbOUHHNFARVpv2bX7fdA6uUMWuzzRIDWqxwzR84mzTOYBfO55wrSTJUf6h4RJ4o1dffVXZ2dmaMWOG5s2bp6lTp2rp0qVnPt7R0aHS0lK1trZKkrZv367CwkLt2rVLmZmZGjJkyJkbe40BAABvwOmW8HuWw6GDA6dq8Il3dGrPe9L1f206CVegbvsKZUna1z9fY52cpgN40oAxN0pVv1FWU5E6O9oVHBJqOgleJDY2VsuWLTvvx1NTU2Xb9pnfT5s27azfAwAAeBuOJENAcOZ0n5aXfGKDbLfbcA2uRGz1J5KkjvSZZkOAAJA17no1qL+i1KJ929aazgEAAAA8iiEZAsLwq+epzQ5Ron1Mh/ftMJ2Dy1RfW6Wsjn2SpLRJf2W4BvB/QcHBKo+6WpLU+MW7hmsAAAAAz2JIhoAQ0T9apeFjJElHt75juAaXq2LTO3JYtiqC0hWXmGo6BwgMWbMkSQk16w2HAAAAAJ7FkAwBo3XYDElS5GFOGfJVjvLVkqTaLzcTB+B5mZNuUpdtKc19UDWV5aZzAAAAAI9hSIaAkVzQfXre8LY9cjWcMFyDS9XZ0a6spkJJ0oAxXzNcAwSOmEEJKgvNkSQd2syRuAAAAPBfDMkQMIam5+iQI0khVpfKPltuOgeXqGz7x4pSixrUX1njrjedAwSUk0OvkySFHvjIcAkAAADgOQzJEFCOxl0jSXKXrjJcgkvVsLN70/DyqKsVFBxsuAYILPHjvi5JGtGyTW2nWw3XAAAAAJ7BkAwBpf/oGyVJ6Y2b5O7qMlyDSzG4Zl33LzJvMBsCBKD0vKt1XAMUYbVpXyH/yAAAAAD/xJAMAWXEhFlqssM1UI0q3/mp6Rz00LEjFUp3H5TbtpQx6SbTOUDAsRwOHRgwWZLUsud9wzUAAACAZzAkQ0AJCXWqLHKCJOnE5ysM16CnDm56W5K0LyRbA+KGmI0BAlRw9lxJUtJx/oEBAAAA/okhGQJOZ8YsSdKg6k/MhqDHnPs/lPSnzcMB9L3hk76mdjtISfZRHd63w3QOAAAA0OsYkiHgpE+6WZKU1VWuuupDZmNwUa3Njcpu3SZJSph4i+EaIHD1jxqgkvCrJEnVhW+ajQEAAAA8gCEZAs6ghGTtCx4uSdq/6S3DNbiY0s9WKMzqULUVr9ScCaZzgIB2Km22JCn68GrDJQAAAEDvY0iGgHRi6HRJUmgFV2nzdh1735UkHY6bJsvBjyzApGGTb5UkjWgvVn1tleEaAAAAoHfxjhMB6Y+n7WW3bFVrc6PhGpxPV2enMhs2SJL6j55vuAZAQnKmyoMy5LBslW98w3QOAAAA0Ks8OiSrr6/XggULFBUVpZiYGC1cuFDNzc09eqxt25o7d64sy9Lbb7/tyUwEoNScCaq2BivM6lDpZ1zl0luVbVurWLnkUj+NmDjbdA4ASceHzpAkhZRxJC4AAAD8i0eHZAsWLNCePXu0evVqrVy5UuvXr9d9993Xo8c+++yzsizLk3kIYJbDocNx0yRJnXsYknmrkzvekSTti5qkkFCn4RoAkhQ3/mZJ0oiWrTrd2rN/+AIAAAB8gceGZMXFxVq1apVeeuklFRQUaOrUqXr++ef12muvqbq6+oKP3bFjh55++mm9/PLLnsoDFDnmJklSZuNGdXa0G67BuSQe+0SSZI2YazYEwBkZoyapRoMUYbWpZNNK0zkAAABAr/HYkGzTpk2KiYlRfn7+mftmzpwph8OhwsLC8z6utbVVd9xxh1544QUlJCRc9Hna2trkcrnOugE9MWLiDWpQfw1Qk/ZtXWM6B19RWbZTw9xH1G4HKWvKX5nOAfAly+HQoUHXSpLad3MkLgAAAPyHx4ZkNTU1io+PP+u+4OBgxcbGqqam5ryPe+SRRzR58mTddNNNPXqeJUuWKDo6+swtOTn5iroROIJDQlUWPVmS5PrytD54j6rCNyVJpWFjFBUz0HANgD8XMfrrkqT0kxvk7uoyXAMAAAD0jkseki1evFiWZV3wVlJSclkxy5cv19q1a/Xss8/2+DGPP/64Ghsbz9wqKysv67kRmIJybpQkJdV+LNvtNlyDPxd9aLUkqTVtluESAF81omCumuxwDVKD9n3+iekcAAAAoFcEX+oDHnvsMd11110X/Jz09HQlJCSotrb2rPs7OztVX19/3tMo165dq4qKCsXExJx1/6233qprrrlGn3zyyV88xul0yulkQ29cnhFTblbbpr9Tkmp0sHS7UnPyL/4geFx9bZWGt++VLCll0i2mcwB8RagzTLuirtb4po91cvs7Uv4M00kAAADAFbvkIVlcXJzi4uIu+nmTJk1SQ0ODtm3bpvHjx0vqHoK53W4VFBSc8zGLFy/Wd7/73bPuGzVqlJ555hnNnz//UlOBi+oXGaOdEeM05lShagrfZEjmJSo+e0sTLFsVQenKGDbCdA6Ac7CHz5W2fawhNR+bTgEAAAB6hcf2JMvJydGcOXN07733qqioSBs3btSiRYt0++23KzExUZJUVVWl7OxsFRUVSZISEhKUl5d31k2SUlJSlJaW5qlUBLi2jDmSpNgjqw2X4I+Cy96XJNUmTjdcAuB8sqbcok7boVT3YVXt32M6BwAAALhiHhuSSdKrr76q7OxszZgxQ/PmzdPUqVO1dOnSMx/v6OhQaWmpWltbPZkBXFD61L+W27Y0vHOfjlcfNJ0T8E61NGlE8xZJUlw+V7UEvFV0bJxKwkZLkio/+53hGgAAAODKXfLplpciNjZWy5YtO+/HU1NTZdv2Bb/GxT4OXKlBCSkqDRmhEZ0l2r/h94q77QemkwJayYY3NdZqU7UVr4xRk03nALiAlvS5UvEOxRz8QNK/mM4BAAAArohHjyQDfEV98kxJUvj+VYZL0LVnuSTpcPwMWQ5+RAHeLG3qNyVJ2Z3Fqq06YLgGAAAAuDK8AwUkJU2+TZKUc+pzNdYfN1wTuNpOt2pE40ZJUsz4Ww3XALiY+KFpKgnOkSQd+PQ1wzUAAADAlWFIBkhKzhqjA45UhVhd2rf+ddM5Aavks+WKtE6pVrEaPp5N+wFf0JDaffGT/vvfM1wCAAAAXBmGZMCXapJmS5JCSlcYLglcbV+8I0k6MGiaHEFBhmsA9ETKlNslSdltu1RfW2W4BgAAALh8DMmALw2Z1H3K5cjWrWpqrDdcE3g62ts0vGG9JKnf2FsM1wDoqcS0bJUHZSjIslXOkbgAAADwYQzJgC8NGzFOhxxJCrU6Vbr+96ZzAk5p4SrFqFknFaXsibNN5wC4BHXJ3adchpW/a7gEAAAAuHwMyYAvWQ6HqhNnSZKCSpYbrgk8LTvelCSVDbhWwSGhhmsAXIrEP7/4yck6wzUAAADA5WFIBvyZ+IJvSpJymgvV0tRgNiaAuLu6lHHiE0mSc/TNRlsAXLqU4VfpoCPly4uf/M50DgAAAHBZGJIBfyY9d6KOWEMUZnWo5NM3TOcEjNKtH2mQGuRShHImzzedA+AyHB3afSRuMBc/AQAAgI9iSAb8GcvhUGXCDd2/3vuO4ZrA0biteyC5L2qKQp1hhmsAXI74id+QJOW0bOFIXAAAAPgkhmTAVwz68o1edtNmnWppMlzj/9xdXUqvXS1JCsq72WwMgMv250fiFnPxEwAAAPgghmTAV2SOmaqjilOE1abiDW+bzvF7JVtWK171cilCI6+9xXQOgMtkORyqTOy+ymXQnjcN1wAAAACXjiEZ8BWWw6FDg2dKkuzd7EvmaU1bX5cklcZcJ2dYhOEaAFciYcoCSVJuS6Ea648brgEAAAAuDUMy4BwGXn2HJGmkayN763hQZ0e7suo+kiQ5r/qG4RoAVypt5AQdcAxTqNWl0nW/NZ0DAAAAXBKGZMA5ZI6ZqiPWEIVb7Sr+5HXTOX6r+LOVipVLJxWlnMlfM50DoBfUpMyTJIWVvm02BAAAALhEDMmAc7AcDh0Z2v1GL3gve+t4yqnPuzf33jdwukJCnYZrAPSG5KnfkiSNPPW5Thw7YrgGAAAA6DmGZMB5DPnyjV5u6xY11NUYrvE/badbld3wiSSp//hvmo0B0GuSMvNUFpylYMut8nXLTOcAAAAAPcaQDDiPYdnjVBGUrhCrS6Ufv2o6x+8Uf/q2otSqWsUqe+Is0zkAetGJtPmSpMiydwyXAAAAAD3HkAy4gOPDuvfJ6l/2ttkQP9T5xR8kSfvjb1BQcLDhGgC9Ke26L0+57NitY0cqDNcAAAAAPcOQDLiA1GnfkSTltO1SbdUBwzX+o7W5USNdGyRJAybebrgGQG8bnJShvSF5kqQD6/7XcA0AAADQMwzJgAtISMlScUiuHJat/Z/8t+kcv1G8/g+KsNpUbcVr+LhppnMAeEBT5tclSbEHVhouAQAAAHqGIRlwEa7MmyRJAw+sMFziPxy7u0+1PDRkjiwHP4YAf5Q5bYE6bYeGd+5TZdlO0zkAAADARfHuFLiIrOu/pU7boazOMlWW7zKd4/Pqa6uU11IoSUq85i6zMQA8ZuDgJO2JyJckHVn3itkYAAAAoAcYkgEXERs/VHvDx0vijV5v2LfmvxRidaksOEvDcsabzgHgQZ1535QkpR5ZIXdXl+EaAAAA4MIYkgE90J53myRp2JHlvNG7QgMr3pQknci4xXAJAE/Lvf52NdnhGqLjKi78wHQOAAAAcEEMyYAeyJt+h5rscCXatbzRuwKHircpq7NMHXaQhs+403QOAA8Li+iv4tgZkqSWov8xXAMAAABcGEMyoAf+/I1eaxFXubxc1Z++Ikna3a9AsfFDzcYA6BP9C74tSco9uVanWpoM1wAAAADnx5AM6KGoq7uPfMo9uVYtTQ1mY3xQV2en0qvflSTZo79puAZAX8mecIOqrcHqZ53WnrXLTOcAAAAA58WQDOihERNm6og1RBFWm/auedV0js/Z+9m7GqwTalQ/5U67zXQOgD7iCArSoaSvS5JC9/zOcA0AAABwfgzJgB6yHA5VptwkSQov5o3epTq97X8lSSUDb5AzLMJwDYC+lHL93ZKk3FPbdLz6oNkYAAAA4DwYkgGXIHX6PZKkvLYdOnqo1HCN72hqrFduwzpJUvTV3zZcA6CvDU3PVXHISAVZtspX/6fpHAAAAOCcGJIBl2DIsBHa7bxKknRw7ctmY3zI3g9+rQirTYccyRoxfrrpHAAGNGV370WYfPAN2W634RoAAADgLzEkAy7RqZzu/bSGHX5T7q4uwzW+YWDpbyVJRzNuk+Xgxw4QiHJn3aUWO0xJ9lHt2fSu6RwAAADgL/BuFbhEeTd8Ry5FKNGu1Z4N75jO8XrlOzcos6tC7XawRsy613QOAEP6RcZo96DZkqTTm39juAYAAAD4SwzJgEsU3i9SxYPmSpI6ijjl8mJOrO/ef2hX1LUaEDfEcA0Ak2Kv6R6Uj3atU0NdjeEaAAAA4GwMyYDLED/9+5Kk0c0bVVd9yHCN92ptblRu3QeSJGfB3YZrAJiWddU1Kg/KUKjVqZIP2cAfAAAA3oUhGXAZ0kZOUEnISAVbbpV/+CvTOV5r9+r/Un/rlI5YCRo56UbTOQC8wIkRt0uSEspfZwN/AAAAeBWGZMBlaspdIElKOfR7NvA/j6g9yyRJlam3yhEUZLgGgDfImbVQrbZTqe5KlW5dYzoHAAAAOIMhGXCZRs26Sy71U6Jdq93r3zKd43UO7N2i7M5iddoOZd3wPdM5ALxEVMxA7RkwXZLUtPElwzUAAADAnzAkAy5TWER/7Y2bJ0nq2sqV2r6qds0vJEm7+k/WoMRhhmsAeJPIKd+VJI1uWKOTx48argEAAAC6MSQDrkDC9L+RJI1q/ky1VQcM13iPxpN1GlX3viQpZPLfGK4B4G1GjJ+usqBMOa0Olbz3C9M5AAAAgCSGZMAVSc3J197QUQq23Kp47/+ZzvEaxe+/qAirTQcdKcplw34AX2E5HGoY1X3F27QDr6mzo91wEQAAAMCQDLhip8d1nzaUXfWGTp9qMVxjnrurS0llr0qSjmV/R5aDHzMA/tKo2XerXlFKUJ2+WLPMdA4AAADAkAy4UqNn3KEaxWmAXNr1PptQ71r/ppLso3IpQnlz7zWdA8BLhYX3U+nQWyVJzu387AQAAIB5DMmAKxQcEqqDGXdIkgbuflm22224yLCipZKkvfHz1S8yxmwLAK+WPvcBddoO5bbv0v7dhaZzAAAAEOAYkgG9IGfe/Tp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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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iIiJt9OSTTxopKSkGcNDLwIEDja+++uqQ23vrrbcMl8vV6DZiYmKMt99+25gyZYoBGD179mx0G4sXLzaioqIa3caUKVNa/Bh37dpljBs37pCPb+PGjU1uw1rvtttua/H+6+rZs6fvccycOdNwu92NxhMZGWm8/vrrjW5jzpw5vvXmzJlz0P0dLO5PPvnEiI6ObvI5GT9+vLF8+XLf7y+88EK9+1t/x0Ndrr76asPj8TQa3wcffNCs15/T6TS++OKL5jzFIiIiEoY03FJERETa7Oqrr2bdunU89thjnHLKKWRlZREdHU18fDx9+vThggsu4PXXX2fZsmWNzmh5oPPOO49vv/2Ws846i9TUVCIjI8nKymLKlCksXLiQc88995DbyMnJYf78+Vx44YX06NGjzcMfU1JS+Oqrr3jppZc45ZRT6Nq1KxEREXTu3Jnx48fz+OOPk5ubS8+ePdu0n5b61a9+xddff83kyZPJyMggMjKS7t27c9lll7F48WIuuOACv+5/4sSJ/PDDD1xyySVkZGQQERFBamoqxx13HM888wyzZ88mLi6uyfs/8sgjvPLKK1xxxRWMHDmS7t27ExkZSUxMDP369WPKlCl8/fXXPPnkk76ZTw90+umns2HDBh566CFOOOEE398mJiaGXr168ctf/pKHH36YjRs3cvzxx/vrqRAREZEg5zCMJjriioiIiEhAys7OZtOmTUyZMqXJXmAiIiIi0jKqJBMRERERERERkbCnJJmIiIiIiIiIiIQ9JclERERERERERCTsKUkmIiIiIiIiIiJhT0kyEREREREREREJe5rdUkREREREREREwp4qyUREREREREREJOwpSSYiIiIiIiIiImFPSTIREREREREREQl7SpKJiIiIiIiIiEjYU5JMRERERERERETCnpJkIiIiIiIiIiIS9pQkExEREREREWlEZWUlV1xxBT169CAxMZEjjzyS+fPn2x2WiPiJkmQiIiIiIiIijaipqSE7O5t58+ZRVFTE9ddfz+mnn86+ffvsDk1E/EBJMhERERERkQBw++2343A4KCws7PDtvfjiizgcDjZu3Njo701d19ztdZTs7Gxuv/32dttGXFwct956Kz169MDpdHLBBRcQGRnJzz//3PZg2+CBBx5gwIABeL3eFt3Prr8LwFNPPUWPHj2orKzs8H2LNJeSZBI27PxAsMvChQs56qijiIuLw+FwkJuba3dIzdbWA7O2sg4qQ0lrD6YgsA5qdFAoIiIdyfr8sC7R0dH069ePadOmsWPHDrvDs923337L7bffTlFRkd2hdIg1a9awe/du+vbta1sMJSUl3H///dx88804neYp/YGv07qXP//5z36NZ82aNVxwwQVkZmYSGxvLgAEDuPPOOykrK6u33uWXX05VVRVPP/20X+MRaQslyaRDHfjm7Xa76d69O5dffjl5eXl2h2cLfx1YVFdXc95557F7924eeeQRXn75ZXr27Nmu+7BbqB2U+fP/o7GDqZYIlIOaph6HXQeGl19+eZP7dTgcvr9boDx/IiLSenfeeScvv/wyjz/+OEcddRRPPvkkY8eObZAICFaXXnop5eXlBz1ebGydb7/9ljvuuKPB8VhzthdsysvLueSSS5g+fTpJSUm2xfH8889TU1PDhRde2OA263Va93LBBRf4bm/vv8uWLVsYPXo03333HdOmTePRRx9l7Nix3HbbbQ3ii46OZsqUKTz88MMYhtEu+xdpb267A5DwdOedd9KrVy8qKir47rvvePHFF5k3bx7Lly8nOjra7vA6lHVgcfnll5OcnNxu2123bh2bNm1i5syZ/OpXv2q37drp0ksv5YILLiAqKgrw33NnN3/8fxzsYKo56h7U/Pa3v7Wtyu5Qj8N67uoaMmQI0PD10x5+85vfMGHChHrXGYbB1VdfTXZ2Nt27dwcC5/kTEZHWO/XUUxk5ciQAv/rVr+jcuTMPP/ww77//fpOfS6WlpcTFxXVkmK3mcrlwuVxtXqc16wYD6wvovn37cuutt9oaywsvvMAZZ5zR6HFh3ddpY9r77/Lyyy9TVFTEvHnzGDx4MAC//vWv8Xq9vPTSS+zZs4dOnTr51p88eTIPPPAAc+bM4YQTTmi3OETaiyrJxBannnoql1xyCb/61a949tlnufHGG1m3bh0ffPCB3aF1mNLSUr9uv6CgACCkkkcul4vo6OiQTzD44//jYAdTzTV58mQ2bdrEnDlzWr2NtjrU47Ceu7qXnJwcwD+vn7FjxzbYX69evSgrK+Piiy+ut24gPH8iItJ+rBP8DRs2APtbNaxYsYKLLrqITp06cfTRRwOwePFiTj31VBITE4mPj+fEE0/ku+++a3LbhYWFTJ48mcTERDp37szvf/97KioqfLdv2rSJa6+9lv79+xMTE0Pnzp0577zzmmwpcKjtQfPaEhy4zu23386f/vQnAHr16uWrpN64cWOT28vLy+OKK66ga9euREVFMXjwYJ5//vl66+zdu5frr7+e7OxsoqKiSEtL46STTmLRokVNxnYwhmEQHx/PH//4RwBWr16Nw+Hg7bffBuCll17C4XCwZs2aRu/v9Xq59NJLcTgc/Otf/7L1WHTDhg0sXbq0wZd0zdXY32Xu3LmMHDmS6Oho+vTpw9NPP93s1iMlJSUAdO3atd716enpOJ1OIiMj610/YsQIUlJSeP/991sVv4i/KUkmAeGYY44BzOqnuprzIdrSg4RDsT4QVq1adciDiebuu6mDpoMdWBzMoQ60Lr/8co477jgAzjvvPBwOB+PHj29yey19HKtXr+aSSy4hKSmJ1NRUbrnlFgzDYMuWLZx55pkkJibSrVs3/v73v7f6uW1M3Q/1Qz13l19+OdnZ2Q220dgH/rx58xg1alS9A4Om2HFg19T/R3PjaepgqqUHjHYf1PjjoBDadmDYmNdeew2Hw8FFF11U73q7nz8REWlf1udy586d611/3nnnUVZWxj333MNVV13FTz/9xDHHHMOSJUu46aabuOWWW9iwYQPjx4/n+++/b3TbkydPpqKignvvvZfTTjuNf/7zn/z617/23b5w4UK+/fZbLrjgAv75z39y9dVXM3v2bMaPH9/o8M9Dba+1zj77bF8VndXe4+WXXyY1NbXR9Xfs2MGRRx7JrFmzmDZtGv/4xz/o27cvV155JY8++qhvvauvvponn3ySc845hxkzZnDjjTcSExPDypUrWxXn+vXrKS0t5fDDDwdg2bJlAPV+j4mJoU+fPo3e/ze/+Q3bt2/n7bffxu22dzDWt99+C8ARRxzR6O3FxcUUFhbWuxzM4sWLOeWUU9i1axd33HEHV155JXfeeSfvvfdes+KxzjGuvPJKcnNz2bJlC2+++SZPPvkkv/vd7xqtpDziiCP45ptvmrV9kY6m4ZYSEKyT1rqluNaHqMPhYNq0aaSmpvLxxx9z5ZVXUlJSwvXXXw/UP0jIzMxk48aNPPnkk4wfP54VK1YQGxvbqpgmT55MdnY29957L9999x3//Oc/2bNnDy+99JJvnZbu+7zzzuOwww7jnnvuwTAMjj76aFavXs3rr7/OI488QpcuXQCaPLAAfAdaiYmJ3HTTTURERPD0008zfvx4vvzyS8aMGcNvfvMbunfvzj333MPvfvc7Ro0a1eDbnbpa+jjOP/98Bg4cyH333ceHH37I3XffTUpKCk8//TQnnHAC999/P6+++io33ngjo0aN4thjj23xc3soZ599doufu8YsW7aMk08+mdTUVG6//XZqamq47bbbGn2+mvuavPrqq/n3v//NtGnTGDRoELt27WLevHmsXLmyyQOag2ns/6Ml8TR1MNWaA0Y7D2oOdVAI+w8M67JeG42xDgzT09O544478Hg83HnnnS1+HVmqq6t56623OOqooxpN0uqgUEQkeFmfMRUVFXzzzTfceeedxMTE8Mtf/rLeesOGDeO1117z/X7WWWdRXV3NvHnz6N27NwCXXXYZ/fv356abbuLLL79ssK9evXr5vlS57rrrSExM9CWLhg4dyi9+8QvOPffcevc5/fTTGTt2LP/5z3+49NJLW7S91ho6dChHHHEEr7/+OpMmTWr0s6+uv/71r3g8HpYtW+ZLLl599dVceOGF3H777fzmN78hJiaGDz/8kKuuuqreF6433XRTq+Ncvnw5UP8YJyoqisMOO8x3++DBgxvt27pp0yaeffZZoqOj6x1TfPzxx74vMjvSqlWrABq0l7A09mXiwfp/3XbbbbhcLr755hsyMjIA81h94MCBzYrnlFNO4a677uKee+6pN+rhr3/9K3fffXej9+nduzcvv/xys7Yv0uEMkQ70wgsvGIAxa9YsY+fOncaWLVuMf//730ZqaqoRFRVlbNmyxbfulVdeaaSnpxuFhYX1tnHBBRcYSUlJRllZmWEYhu9nXfPnzzcA46WXXmqw7w0bNhw0xttuu80AjDPOOKPe9ddee60BGEuWLPFd19x9W9u88MILG6z/4IMPNisuy6RJk4zIyEhj3bp1vuu2bdtmJCQkGMcee6zvujlz5hiA8fbbbx9ymy19HL/+9a9919XU1BiZmZmGw+Ew7rvvPt/1e/bsMWJiYowpU6Y0uH9zntvG/l4HXnew527KlClGz549G1xvxWCZNGmSER0dbWzatMl33YoVKwyXy2Uc+BbZ3NdkUlKScd111zXY96G05P+jJfH83//9nwEYe/furbfee++9ZwDGDz/84HtuoqKijJqaGsMwDOOUU04xRo4cWe8+v/71r42YmJgWP7b20NTjMIz9z11jlwPXqft6Of30043Y2FgjLy/Pd92aNWsMt9vd4O/fHP/9738NwJgxY0ajt9v5/ImISOs09RnTs2dP45NPPvGtZx1jfPnll77rampqjNjYWGPy5MkNtvub3/zGcDqdRnFxcYNtfPrpp/XWXblypQEY9957b4PtVFVVGYWFhcbOnTuN5ORk4/rrr2/V9g78nGzOsZhhNH08duC6Xq/XSE5ONn79618bO3furHex1p03b55hGIbRs2dPY+TIkfU+n5urZ8+exm233VbvurvvvttwOp2+Y6NzzjnHyMnJ8d2emZlpTJ069aDbCBTXXHON4Xa7G1xvPYdPPPGE8fnnn9e7NLbehg0bjJqaGiMmJsa46KKLGmzv9NNPb/ax0Msvv2xMnDjReOaZZ4z//Oc/xhVXXGE4HA7jsccea3T9m2++2QCM0tLSZm1fpCNpuKXYYsKECaSmppKVlcW5555LXFwcH3zwAZmZmYD5bcd//vMfTj/9dAzDqFcuPHHiRIqLi31D12JiYnzbra6uZteuXfTt25fk5ORWD28D81u2un77298C8NFHH/mua+m+r7766lbHA+DxePjss8+YNGmS75tIMMf8X3TRRcybN8/XF6AlWvo46k4E4HK5GDlyJIZhcOWVV/quT05Opn///qxfv77B/Zvz3HYEj8fDp59+yqRJk+jRo4fv+oEDBzJx4sR667bkNZmcnMz333/Ptm3bWhXXof4/WhrPrl27cLvdxMfH19vP8uXLcTqdDBo0yPf7wIEDfc1cly9f7vvG1dKpUyfKy8ttmcmrqcdR1xNPPMHnn39e79IUj8fDrFmzmDRpku+bU4C+ffty6qmntirG1157jYiICCZPntzo7XY+fyIi0jbWZ8ycOXNYsWIF69evb3C8APUrfHbu3ElZWRn9+/dvsN7AgQPxer1s2bKlwW1WhZOlT58+OJ1OX3V5eXk5t956K1lZWURFRdGlSxdSU1MpKiqiuLi4xdvrCDt37qSoqIhnnnmG1NTUepepU6cC+3vqPvDAAyxfvpysrCxGjx7N7bff3ugxZXMtW7aMPn36+I55ly1b5jvGKS4uZuvWrQ2OeYLV6NGjmTBhQr1LUwoKCigvL6dv374Nbmvsusa88cYb/PrXv+bZZ5/lqquu4uyzz+a5555jypQp3HzzzezatavBfYzayrZQ7zMswUlJMrGFdZDx73//m9NOO43CwsJ6M8615EO0pQcJzdWcg4mW7rupsujmau2B1qG09HHUTSgBJCUlNShBt67fs2dPg/sHwoEamM9neXl5g3iABs9xRx7YHer/o6XxNKU1B4yBflDT0QeGde3bt4/333+fiRMnNuhPYwn0508kmHz11VecfvrpZGRk4HA4mt0/x1/7q66u5uabb+bwww8nLi6OjIwMLrvsslZ/YQJmz0Sr52bdS35+fhsfTdN++uknzjnnHLKzs3E4HPX6RIU76zNm/PjxDBw4sNGheVD/y8f2cuDnxm9/+1v+9re/MXnyZN566y0+++wzPv/8czp37ozX623x9jqCFdcll1zS4Ast6zJu3DjAHO63fv16HnvsMTIyMnjwwQcZPHgwH3/8cav2/dNPP/lmu66oqGDdunW+3w8cihnoOnfuTE1NDXv37rU7FABmzJjB8OHD632ZC3DGGWdQVlbG4sWLG9xnz549xMbG+uV/RaSt1JNMbDF69Gjf1MSTJk3i6KOP5qKLLuLnn38mPj6+3ofolClTGt2G1T/ht7/9LS+88ALXX389Y8eOJSkpCYfDwQUXXNCsg4TmauxgoqX7DtQPgpY+jsamjW5qKmkrKXAw/jhQa2qbHo+nVdtryWty8uTJHHPMMbz77rt89tlnPPjgg9x///288847zapQOtT/R0vjqXswlZCQ4Lu9sQNGqxqwqQNGOw9qmnocgeK9995rdFbLunRQKNJ+SktLGTZsGFdccQVnn3227fsrKytj0aJF3HLLLQwbNow9e/bw+9//njPOOIMffvih0W1u3LiRXr16HfKz8ueffyYxMdH3e1paWtsezEGUlZXRu3dvzjvvPP7whz/4bT/hIjU1ldjYWH7++ecGt61atQqn00lWVlaD29asWVPvy9W1a9fi9Xp9Pb/+/e9/M2XKlHo9uyoqKigqKmo0jkNtry2aexyXmppKQkICHo+nWZPwpKenc+2113LttddSUFDAEUccwd/+9rdWVXuvX7/e1z9sxYoVeDwe3zHOrFmzcDqdvmOvQDdgwADAnNCoLf3kwHwviY6OZu3atQ1ua+y6xuzYsaNB31wwvzgAqKmpaXDbhg0bmt3zTKSjKUkmtnO5XNx7770cf/zxPP744/z5z39u0YdoSw8Smqs5BxPtse+WJIhae6B1KP56DpvSXgdqB3vuOnXq1Gj8mzZt8i2npqYSExPT6HTfBz7Hdh3YNfb/0dJ4mjqYas0Bo50HNe15UAjtc2BY16uvvkp8fDxnnHFGk+vooFCk/Zx66qkHfU+trKzkr3/9K6+//jpFRUUMGTKE+++//6CzPbdlf0lJSQ2GeD/++OOMHj2azZs3N6jCbom0tDSSk5Mbvc3r9XL//ffzzDPPkJ+fT79+/bjlllsaNHVvrlGjRjFq1CgA32eOtJ7L5eLkk0/m/fffZ+PGjb5jnR07dvDaa69x9NFH10uAWp544glOPvlk3++PPfYYgO816HK5GiRXH3vssSa/DDzU9trCmr3wUMeNLpeLc845h9dee43ly5f7vqiz7Ny5k9TUVDweD/v27SMpKcl3W1paGhkZGVRWVrYqxpqaGt/EPtYXgUOGDKG4uJgXXniBCRMmNPk/FmjGjh0LwA8//NDm4yGXy8WECRN477332LZtm6/9xNq1a5tdtdevXz8+++wzVq9eTb9+/XzXv/766zidzkZjXLRo0UG/VBSxk4ZbSkAYP348o0eP5tFHH6WiosL3Ifqf//zH90FW186dO33LLT1IaK4nnniiwTah/sFEe+y7uQcW1v7qHmhZDnWg1Zzt+uM5bEpzntvmONhz16dPH4qLi1m6dKnvuu3bt/Puu+/6fne5XEycOJH33nuPzZs3+65fuXIln376ab3tNfc16fF4GgxRbeuB3YH/Hy2JB+ofTNXVmgPGRYsWcdRRR7XqcbRVU4+jtQ48MLS05MDQsnPnTmbNmsVZZ5110Bl17Xz+RMLNtGnTmD9/Pm+88QZLly7lvPPO45RTTmn0ixF/KS4uxuFwtPnkOycnh/T0dE466aQGM+Tee++9vPTSSzz11FP89NNP/OEPf+CSSy5pdMZEscfdd9+N2+3m6KOP5p577uGBBx7gqKOOorKykgceeKDR+2zYsIEzzjiDGTNmcOmllzJjxgwuuugihg0bBsAvf/lLXn75Za6//nqeeeYZpk6dyj//+c8mh/sfanttMWLECMCczfDll1/mjTfeoLS0tNF177vvPtLT0xkzZowv9vvuu4/Jkyf7Wl3s3buX7t27c/nll/PII48wc+ZMzj//fBYuXMiFF17YqhjHjRvHe++9xz//+U++/vprYmNjWb58OSeffDIFBQXcf//9rXvwNujduzdDhgxh1qxZ7bI9a3b3cePG8cADD3Dvvfdy3HHHNUhiNuVPf/oTHo+HY445hrvuuosZM2Zw2mmn8d5773HFFVfU6/sK8OOPP7J7927OPPPMdolfpL2pkkwCxp/+9CfOO+88XnzxRa6++mruu+8+5syZw5gxY7jqqqsYNGgQu3fvZtGiRcyaNYvdu3cD+w8SkpKSGDRoEPPnz2fWrFlNHiQ0l3UwccoppzB//nxeeeWVBgcT7bHvugcWF1xwAREREZx++um+BNCB7r77bj7//HOOPvporr32WtxuN08//fRBD7QOxV/PYVOa89w2x8GeuwsuuICbb76Zs846i9/97neUlZXx5JNP0q9fv3qTEdxxxx188sknHHPMMVx77bXU1NTw2GOPMXjw4HoJNqBZr8m9e/eSmZnJueeey7Bhw4iPj2fWrFksXLiwXqVeSx34/9HceKD+wdQVV1zh22bdA8Zly5b5Dhhvv/12CgoKGvTbsfugpqnH0Ra33347n332GePGjeOaa67B4/Hw+OOPM2TIEHJzc5u9nTfffJOampqDfitq9/MnEk42b97MCy+8wObNm30naDfeeCOffPIJL7zwAvfcc4/fY6ioqODmm2/mwgsvbNUXWGBWJT/11FOMHDmSyspKnn32WcaPH8/333/PEUccQWVlJffccw+zZs3yfZHQu3dv5s2bx9NPP81xxx3Xng9JWmnw4MF8/fXXTJ8+nXvvvRev18uYMWN45ZVXGDNmTKP3efPNN7n11lv585//jNvtZtq0aTz44IO+2//xj3/gcrl49dVXqaioYNy4ccyaNavRiQSas722GDVqFHfddRdPPfUUn3zyCV6vlw0bNjS6bteuXVmwYAF33nkn77zzDjNmzKBz584MHjzYl6iKjY3l2muv5bPPPuOdd97B6/XSt29fZsyYwTXXXNOqGJ966inOOeccfv/73/uuO+200xg3bhzz5s0jJyenVdu1yxVXXMGtt95KeXl5m1s4jBgxgo8//pgbb7yRW265haysLO68805WrlzJqlWrDnn/Y489lm+//Zbbb7+dGTNmsGvXLnr16sXf/vY3brrppgbrv/322/To0YMTTjihTXGL+E3HT6gp4cyacnjhwoUNbvN4PEafPn2MPn36GDU1NYZhGMaOHTuM6667zsjKyjIiIiKMbt26GSeeeKLxzDPP+O63Z88eY+rUqUaXLl2M+Ph4Y+LEicaqVauMnj17GlOmTGmw7wOnpz6QNVX2ihUrjHPPPddISEgwOnXqZEybNs0oLy+vt25z921tc+fOnY3u86677jK6d+9uOJ3OZsW4aNEiY+LEiUZ8fLwRGxtrHH/88ca3335bb505c+YYgPH2228fdFvt8TimTJlixMXFNdjucccdZwwePLjB/Zvz3DZ32vGDPXefffaZMWTIECMyMtLo37+/8corr/hiqOvLL780RowYYURGRhq9e/c2nnrqqUbXM4xDvyYrKyuNP/3pT8awYcOMhIQEIy4uzhg2bJgxY8aMJp//Ax9fc/8/mhOP5eGHHzbi4+N9U58bhmH8/PPPxpAhQxpMaT9u3Djjxx9/bBDDzTffbPTo0cPwer2HfCz+0tjjMIyDP3cHrnPg/9fs2bON4cOHG5GRkUafPn2MZ5991vjjH/9oREdHNzuuI4880khLS6v3tzlQIDx/IqEKMN59913f7//73/8MwIiLi6t3cbvdxuTJkw3DMIyVK1c2eP878HLzzTc3a38HqqqqMk4//XRj+PDhRnFxcb3bBg0a5IsnNja2QZynnHLKQR/rsccea1xyySWGYRjG8uXLG32cERERxujRow3DMIzy8vJDPs7zzz+/0X317NnTeOSRRw4aj0ig6dmzp3Hbbbc1uN7r9RrfffedkZCQYPziF78wNm3a1OJtBIqioiIjJSXFePbZZ/22jzPPPNPo27dvu26zoqLC6Natm/Hoo4+263ZF2pPDMJrRVVskjNx+++3ccccd7Ny5s8FsjdI2em7tU1xcTO/evXnggQd8zfnBnFhhwYIFnHTSSRx77LHMmDGj0b45lZWVZGdn8+c//7net7AdranH0d4mTZrETz/91G7DsgLl+RMJVQ6Hg3fffZdJkyYBZtXMxRdfzE8//dRgYpn4+Hi6detGVVXVIWce7ty5M6mpqYfcX13V1dW+mfm++OKLBlXZmzZt8jW0zsvLY/z48fXea2JiYujevXuTMf3pT39i3rx5zJ8/n++//54jjzySuXPnNrhPVFQUWVlZGIbRaC/TuhITExsMiQLIzs7m+uuv5/rrrz/o/UUCSXZ2Npdffjm33357g9uKioro1KkTjz32GNOmTWvVNgLF/fffzwsvvMCKFSuanGm1uQ6sSFuzZg2DBw9mypQpzJw5s62h+jz11FPcc889rFmzpsHM7SKBQsMtRUTCQFJSEjfddBMPPvggU6dO9R1MORwO+vfvz969eznllFOabCz9wgsvEBER4RvqaZemHkdbNHZg+NFHHzU5a2hrBMrzJxIuhg8fjsfjoaCgwDdByYEiIyN9E4K0FytBtmbNGubMmdNo24KePXv6lt1u81C8b9++zd5Hbm4u6enpAAwaNIioqCg2b97c5NBKh8PR7o9TJFg1NXt3MLr55pu5+eab22VbvXv35vLLL6d3795s2rSJJ598ksjIyEaHS7bF1VdfrWMhCXhKkomIhImmDqaac8AYSAc17XlQCB1zYBhIz59IqNi3b1+9mWg3bNhAbm4uKSkp9OvXj4svvpjLLruMv//97wwfPpydO3cye/Zshg4dyi9+8Yt23V+PHj2orq7m3HPPZdGiRfzvf//D4/GQn58PQEpKCpGRkS3e56OPPkqvXr0YPHgwFRUVPPvss3zxxRd89tlnACQkJHDjjTfyhz/8Aa/Xy9FHH01xcTHffPMNiYmJrUr2V1VVsWLFCt9yXl4eubm5xMfHtyiZJxKIli1bBoRGkqw9nXLKKbz++uvk5+cTFRXF2LFjueeeezjssMPsDk2k49k72lMk8Byqf5i0np7bwDRjxgwDMHbt2mV3KLa4/PLLjZ49expRUVFGYmKiMXHixEZ7solIYLF6bx54sXppVlVVGbfeequRnZ1tREREGOnp6cZZZ51lLF261C/727BhQ5M9v+bMmdPoNq37NOX+++83+vTpY0RHRxspKSnG+PHjjS+++KLeOl6v13j00UeN/v37GxEREUZqaqoxceJE48svv2zV42zqcRx33HGt2p6IiEgwUU8yEREREREREREJe21v5iIiIiIiIiIiIhLkQq4nmdfrZdu2bSQkJOBwOOwOR0RERIKEYRjs3buXjIyMdpkUQtqfjvNERESkNZp7nBdySbJt27aRlZVldxgiIiISpLZs2UJmZqbdYUgjdJwnIiIibXGo47yQS5IlJCQA5gNPTEy0ORoREREJFiUlJWRlZfmOJSTw6DhPREREWqO5x3khlySzSu8TExN18CQiIiItpmF8gUvHeSIiItIWhzrOU8MNEREREREREREJe0qSiYiIiIiIiIhI2FOSTEREREREREREwl7I9SQTERERERERERHweDxUV1fbHYbfRURE4HK52rwdJclEREREREREREKIYRjk5+dTVFRkdygdJjk5mW7durVpEiYlyUREREREREREQoiVIEtLSyM2NjakZ+82DIOysjIKCgoASE9Pb/W2lCQTEREREREREQkRHo/HlyDr3Lmz3eF0iJiYGAAKCgpIS0tr9dBLNe4XEREREREREQkRVg+y2NhYmyPpWNbjbUsPNiXJRERERERERERCTCgPsWxMezxeJclERERERERERCTsKUkmIiIiIiIiIiJhT0kyEREREREREREJe0qSiYiIiIiIiIhIwBk/fjwvvvhih+1PSTIREREREREREQl7brsDEBERERERERER/zEMg/Jqjy37jolwBc1Mm0qSiYiIiIiIiIiEsPJqD4Nu/dSWfa+4cyKxkcGRftJwSxERERERERERsd0999xDfHy87/L1119z9dVX17tu8+bNftt/cKTyAshDn/7Mgg276RQXwWFpCYzt05kje3fG5QyO0kHxE081rJ8Lm76BglVQtQ8i46BTNmQfA32ON3+XsGUYBos2F/Ht2kJWbC+hqKyaSLeTjOQYRvbsxPj+qXSOj7I7TLFb4Rr4+WPIXwalBWAYkJQJ6TnQ72TzPUVEREREpIViIlysuHOibfturquvvprJkyf7fr/44os555xzOPvss33XZWRktGt8dSlJ1kIrt5ewYONuAD79aQePz1lLRlI0Vx7Tm0uP7EmkW8V5YaWqFL5/GuY/AWWFja/z/VMQnQQjLoej/wAxnTo0RLGXx2vw7uI8ZsxZy/rC0kbXeX3BZiJdTn45LJ0/TOhHVkpsB0cptls7G758ALZ81/jtua/Cx3+CvifBcTdB1uiOjU9EREREgprD4QiKIY8pKSmkpKT4fo+JiSEtLY2+fft2yP4D/xkKMNdP6MfZR2Syc28FS/OK+WJVAduKK7jrfyt45btN/H3yMI7ooSRIWFg3B96fBiVbzd9ju0D/UyF9mJkIqyyBHStgzadQtBm++QcsfgVOfQAOP9fe2KVDrC3Yxw1v5bJ0azEAsZEujh+QxvCsZFIToqis9rKucB9frS5k5fYS3lmUx/+Wbud3J/TlmvF9VaEaDvYVwId/hJUfmL873dB7PPQYC0lZgAF7NsGGr8xK1bWfm5fhl8Ip90JUgp3Ri4iIiIiEFCXJWujwzCQOz0zy/V5R7eGdRXk8Mms1GwpLOe+p+Uw/dQBXHt0raGZvkBYyDPjqIZhzt/l7cg84/q8w5FxwNfIv5X0AVn8Cs++AnavgP1eaJ7ynPQTuyI6NXTrMh0u3c8NbuVTWeEmIdnPd8X255MiexEc1fI1MPxVytxTx4Ker+GbtLh76bDXfrN3FjIuPoFOcXiMha1suvH4h7N1mJsdGXQVHXw8J3RquO/5m2LUOvv67WVW2+GXY/B2c/wqkDejoyEVEREREQpLDMAzD7iDaU0lJCUlJSRQXF5OYmNhh+y0ur+aW95bzwZJtAFx+VDa3/nIQTlWChBZPNXzwO1jymvn7yCvg5Lub12/MUw1fPWgOqcKAPifC5JcgKt6vIUvHm/nVev720UoAjjmsCw+eO4xuSdGHvJ9hGLyzKI9b3l9OWZWH3qlxvHTFaDI7afhlyPn5E/j3VKgugy794JznIH1o8+676Vv4z6+gJA+ik+HitzX8sp3YdQwhzae/kYiIyKFVVFSwYcMGevXqRXT0oc9DQsXBHndzjyHUQKudJMVE8I8LcvjraQMBePHbjdz5vxWEWA4yvHm98N41ZoLM4YJfPAy/fKT5DfldEXD8X8wT2ohYWDcbXr8Aqiv8G7d0qKe+XOdLkF1+VDYvTh3drAQZmH0CzhmRyXvXjSM9KZr1O0u5aOb3FJToNRJS1syCNy8xE2R9ToBfzWp+ggyg51Hwm68gczRUFMFLk2DrD/6KVkREREQkbChJ1o4cDgdXHdubh84bBpiJsoc/X21zVNIuDMNsmr3sbXNY1PmvwKgrW7etw06CKf+FyATY+LU5/NJT077xii3eXLiZ+z5eBcCfJvbnttMHtaqvWL+uCbxz7VH0SIll8+4yLnnue/aUVrV3uGKHTd/CmxeDtxoGTYKL3jYn9mipuC5w2Xtm/7LqUnj1PHNmTBERERERaTUlyfzg3BGZ3HXmYAAe+2It7+fm2RyRtNn3T8PCZwEHnPU0DDitbdvLHAkXvgauSFj1P/j8lnYJU+zz7dpCpr+zDICrj+vDdcf3bVNfwvSkGF65cgxpCVGs3rGPaa8vwuNVZWpQK9psVpDVVEC/U+DsmY33MWyuyDg4/1XIOALKd8PLZ0PZ7vaLV0REREQkzChJ5ieXjs3muuP7AHDzf5ayYluJzRFJq22aD5/91Vw++e72m5my17HmSTLAdzNg+Tvts13pcNuLy/nt64vxGnD28O7cfEr/dtluj86xvHTlaGIiXLUN/X9ul+2KDarLzQRZ2S5zBtzzXmyfiTui4s0h3Cm9oXgzvPNrc2i4iIiIiIi0mJJkfnTDSf05rl8qFdVern7lR0orNaQu6JQWwttTwFtjzl459rr23f7gSTDuenP5/WkaLhWEajxernt1EbtKqxiUnsg9Zx/erjPbDuiWyAPnmv2qnpy7jlkrdrTbtqUDfTIdti+B2M7mcO2ImPbbdlwXmPwyuKNh7efmDJgiIiIiItJiSpL5kcvp4J8XDKd7cgybd5f5mnlLkDAM+N8fYN8OSB0IZ/wT2jH54XPCLZB9jNlX6N2rwetp/32I3zz15ToWbS4iIdrNU5eMIDrC1e77OH1YBleM6wXAn99Zym71Jwsuaz6HH18wl895DpJ7tP8+ug0xJxMBmHsv5C1q/32IiIiIiIQ4Jcn8LCk2ggfPM6tAXvt+M3N+LrA5Imm25f+BlR+YjfrPfrr5s1i2lMtt9jmLSoK8H+Dbx/yzH2l3K7eX8I/ZZvXfXWcOoUfnWL/t66ZT+nNYWjyF+6q45f3lftuPtLOy3WaVKMCR10Kf4/23r+EXw5BzwPDA+9dBTaX/9iUiIiIiEoKUJOsAR/XpwuVHZQPwl3eWUValYZcBr7QQPvyjuXzczWYPIX9K6g6n3GMuz7kHdmpW1EBX4/Fy49tLqPYYnDSoK2fmZPh1f9ERLh6enIPL6eDDpdv5eNl2v+5P2slnt8C+fOjSD0681f/7O/VBiO0CBSvgq4f8vz8RERERkRCiJFkHufmUAWR2imF7cQX/nL3W7nDkUGbdDhVF0PVwOPoPHbPPnIuh70ngqYSP/2QO95SA9er3m/lpWwlJMRH87awh7dqHrCmHZyZxzXHmhCB3/W8F5VUamhvQNn8Hua+Yy2c+0b59yJoS1xl+UZscm/cIFOrzRkRERESkuZQk6yAxkS5uP30wAM9+vZ61BXttjkiatPUHWPyyufyLv4MromP263DAaQ+CKwrWz4WV/+2Y/UqL7dpXyd9rZ5q8cWJ/0hKiO2zf1x3fl+7JMWwrruCJOUqABCxPzf5q1OGXQtbojtv34LPgsJPBWw2fTu+4/YqIiIiIBDklyTrQhEFdOXFAGjVegzv+u8LucKQxXi98dKO5POwi6DGmY/ef0gvG/c5c/vSvUFXWsfuXZnnos58pqahhUHoiF432QxP2g4iJdHHLLwcB8MxX69m0q7RD9y/NtOhF2LEcopNhwu0dv/+J94IzAtZ8Bqs/7fj9i4iIiIgEISXJOtitpw8iwuXg6zWFzFtTaHc4cqAV78G2xRCZACfdYU8MR98AiZlQvBkWPG1PDNKkNTv28ubCLQDcceZgXE7/D7M80MTBXTnmsC5Uebw89Jn61wWcqlKYe7+5fPxfIa5Lx8fQpS8ceY25/OlfzMo2ERERERE5KCXJOljPznFcPKYnAPd/sgqvV32nAoanGr6421w+ahrEp9kTR2QsnPB/5vK8R6B8jz1xSKMe/nw1XsNMVI3KTrElBofDwfRTBwLw3yXbWJ5XbEsc0oTvnoTSAuiUDSMuty+OY/8EsZ1h11pY8rp9cYiIiIiIBAklyWzw2xP6Eh/lZlleMR9qhrrAkfsq7F5nnlSOvc7eWIZOhtSBUFEM3/zT3ljEZ+nWIj5eno/DAX88ub+tsQzKSPTNqHn/J6tsjUXqKNsN3/zDXD7+/8AdaV8s0YlmZSrA3PugptK+WERERETEXoZhjniw4xJEk9K57Q4gHHWOj+LXx/bm4c9X8+is1fzi8HScNgzZkjqqy/cPjzrmjxCVYG88TheceAu8cRF8/5Q5bMquyjbxsYY2npXTnX5dbX6NAH88qT8fLt3O12sK+X79Lsb07mx3SDLvEagsga5DYMg5dkcDo66E+U9AyVb44fn9QzBFREREJLxUl8E9Gfbs+y/bIDLOnn23kCrJbDJ1XDaJ0W7W7Szlk5/y7Q5HFr0Ee7eZvcBGXml3NKb+p0H3keab2fwn7I4m7C3cuJuvVu/E7XRw/YR+docDQI/OsUwelQXAE3PX2RyNULoLFj5rLp94KzgD4CM2IgaOu8lcnveoqslEREREJGC9+uqrxMfH+y5ff/11h8egSjKbJERHcPm4Xvxz9hqemLOWU4d0w+FQNZktPNXw7WPm8jF/gIhoe+OxOBxw7I3w+gWw8Dk4+g8Qk2x3VGFrxpy1AJw3MosenWNtjma/q4/tw5sLt/DV6p0s3VrE0Mxku0MKXwueNpPa6cPgsJPtjma/nIvhqwehJM/sTWZnnzQRERERsUdErFnRZde+m+GMM85gzJgxvt+7d+/ur4iaFABfc4evqUdlExvp4qdtJcz9eafd4YSv5f+B4i0QlwY5l9gdTX2HTYS0QVC1FxbOtDuasLUqv4Q5P+/E6YDfHNvb7nDq6dE5ljOGmWXTM+aomsw2lXvh+9rZaI++wUxyBwp3JIydZi5/8w/weuyNR0REREQ6nsNhDnm049LMY+OEhAT69u3ru8TExPj5SWlISTIbdYqL5JIjzZkuH/tiDUYQNbMLGV6vOQQJzF49gVJFZnE69zfe/u5JqCqzN54w9fSX6wE4dUg62V0Cbyz9teP7APDJT/ms2bHX5mjC1I8vQkURdO4LA0+3O5qGRkyBmE6wez2seM/uaCTEPPHEE2RnZxMdHc2YMWNYsGBBs+73xhtv4HA4mDRpkn8DFBEREWkmJcls9qtjehHpdrJocxGLNu+xO5zws+ZT2LkSohLNBteBaPBZ0CkbynaZvdOkQ23ZXcYHS8yy5KuP62NzNI07rGsCEwd3BeCp2oSedKCayv19A8f93px4I9BExsGYq83lrx8JqhmGJLC9+eab3HDDDdx2220sWrSIYcOGMXHiRAoKCg56v40bN3LjjTdyzDHHdFCkIiIiIoemJJnN0hKimZRjDpV6/puN9gYTjr75p/lz5BUQnWRvLE1xueGo35rL3z9lVr9Jh3lu3gY8XoNxfTtzeGaAvkbYn8D775JtFO5Tc/YOtfwd2LsdEtJh6Pl2R9O00b+GiDjYsQzWz7U7GgkRDz/8MFdddRVTp05l0KBBPPXUU8TGxvL88883eR+Px8PFF1/MHXfcQe/egTWEXURERMKbkmQBYOq4XgB8sjyfbUXlNkcTRrYvhc3fgtO9v8IiUA270Ezi7dkAaz+3O5qwsbeimrd/2ALAb44NzCoyy/AenRiWlUyVx8vr32+2O5zwYRhmw36AUb8Cd5S98RxMbArkXGQuL1CPQ2m7qqoqfvzxRyZMmOC7zul0MmHCBObPn9/k/e68807S0tK48spDV3BXVlZSUlJS7yIiIiLiL0qSBYCB6Ykc2TsFj9fg5e822R1O+LAa4Q88AxLT7Y3lUCLjYPil5rLVHFz87t3FeZRWeeidGscxh3WxO5xDmnpUNgAvf7eJao8qDjtE3o+wbTG4ooJj1sjRV5k/V38Me/R5I21TWFiIx+Oha9eu9a7v2rUr+fn5jd5n3rx5PPfcc8yc2bxE7b333ktSUpLvkpWV1ea4RURERJqiJFmAsKrJXl+wmfIqzTzmd2W7Yenb5vLoX9sbS3ON+hXggHWzoXCN3dGEPMMweGm+mUS49MieOAJptsImnHZ4OqkJURTsreTj5Y2foEo7s5LWQ86BuMBPpJLaH3odB4YXfmh6OJyIP+zdu5dLL72UmTNn0qVL8/5fpk+fTnFxse+yZcsWP0cpIiIi4axDkmQtnfWoqKiI6667jvT0dKKioujXrx8fffRRR4RqmwkDu5KVEkNRWTXv5+bZHU7oy30Vasqh6+HQ40i7o2melF7Q/1RzecEz9sYSBuav38Xagn3ERro4Z0Sm3eE0S6TbySVjzBlzX/xmg83RhIG9O+Cnd83lMUGSbAcY8xvz56J/QbWG+EvrdenSBZfLxY4dO+pdv2PHDrp169Zg/XXr1rFx40ZOP/103G43brebl156iQ8++AC32826desa3CcqKorExMR6FxERERF/8XuSrKWzHlVVVXHSSSexceNG/v3vf/Pzzz8zc+ZMunfv7u9QbeVyOrj0SPPk9vUF6ifkV14PLHzWXB59FQRBhZCPVfWW+xpU7rM3lhD30rdmFdlZw7uTGB1hczTNd9GYHkS4HCzaXMSKberd41eL/gXeasgcDRnD7Y6m+fqdAkk9oHwPLPu33dFIEIuMjGTEiBHMnj3bd53X62X27NmMHTu2wfoDBgxg2bJl5Obm+i5nnHEGxx9/PLm5uRpKKSIiIrbze5KspbMePf/88+zevZv33nuPcePGkZ2dzXHHHcewYcP8HartzjkikwiXgyVbi3Vy60/r58CejWYj/MPPszualuk9Hjr3hap9+ytYpN3lF1fw+UqzMuKysdn2BtNCqQlRnDzIrOB4c6ES7n7j9cKil81lq89XsHC6YNQV5vKif9kbiwS9G264gZkzZ/Kvf/2LlStXcs0111BaWsrUqVMBuOyyy5g+fToA0dHRDBkypN4lOTmZhIQEhgwZQmRkpJ0PRUREJOR4veHVp7g9Hq+7HeJokjXrkXVwBIee9eiDDz5g7NixXHfddbz//vukpqZy0UUXcfPNN+NyuRqsX1lZSWVlpe/3YJ71qHO8eXL74bLtvLFwM3eeOcTukELT4lfMn0MvgMhYe2NpKYcDhl8Cs26HRS/BEZfaHVFI+s+irXi8BiN7dqJ/twS7w2mx80dl8eGy7by7OI/ppw0kOqLhe6e00YYvoXizmWwfeLrd0bTcsItg9l2wdSEUrIK0AXZHJEHq/PPPZ+fOndx6663k5+eTk5PDJ5984mvmv3nzZpxOtcAVERHpSJGRkTidTrZt20ZqaiqRkZFB0WO5tQzDoKqqip07d+J0Otv0xZtfk2QHm/Vo1apVjd5n/fr1fPHFF1x88cV89NFHrF27lmuvvZbq6mpuu+22Buvfe++93HHHHX6J3w51T27/opPb9le2G1Z9aC4Pv9jeWFrLd3K7QCe3fmAYBv/+cSsAk0cG59Cfo/t2oXtyDHlF5XyyPJ9Jw0N7uLotrGT74edBRIy9sbRGQldz2OXPH8Lil2Hi3+yOSILYtGnTmDZtWqO3zZ0796D3ffHFF9s/IBERkTDndDrp1asX27dvZ9u2bXaH02FiY2Pp0aNHm76g82uSrDW8Xi9paWk888wzuFwuRowYQV5eHg8++GCjSbLp06dzww03+H4vKSkJ6p4WR/ftQmanGLbuKeejZds5+4jgaBgeNJb9GzxV0O1wSA/SIbwJXc0G/qv+p5NbP/hx0x42FJYSG+nitKHpdofTKk6ng/NHZfHw56t5fcFmJcnaW/keWPlfc3n4JfbG0hZHXGomyZa8DifeBm4NdRMREREJFZGRkfTo0YOamho8Ho/d4fidy+XC7Xa3uWLOr0myls56BJCenk5ERES9oZUDBw4kPz+fqqqqBmVzUVFRREVFtX/wNnE6HZw/Mou/f76aNxZsUZKsvS2u7SE0PMiHKQ6/1EySLXkdTrwV3KHzP2C3t38wq8hOOzyd+KiA+x6h2c4dkcmjs1bz/YbdrN+5j96p8XaHFDqW/Rs8ldB1CKTn2B1N6/U9CeK7wb58WP0xDDrT7ohEREREpB05HA4iIiKIiAieicjs5tcmES2d9Qhg3LhxrF27tl7DtdWrV5Oenh42DV3PG5mFwwELNu5my+4yu8MJHduXQv5ScEUGX8P+A/WdAAnpULYLfv7Y7mhCRllVDf9bapYjnzciuBPUGckxHNcvFcA3fFTayaKXzJ/DLw2u2XEP5HJDzoXmsjUJgYiIiIhIGPN7J9WWzHoEcM0117B7925+//vfs3r1aj788EPuuecerrvuOn+HGjC6JUUzrk8XAN5bnGdzNCEk91XzZ//TIDbF3ljayuWGYReYy0vfsjeWEPLRsnxKqzz07BzL6F5B/hoBXyXq+7nb8HoNm6MJEduX7E+2D51sdzRtZ1XVrpsNe/PtjUVERERExGZ+T5Kdf/75PPTQQ9x6663k5OSQm5vbYNaj7du3+9bPysri008/ZeHChQwdOpTf/e53/P73v+fPf/6zv0MNKFYPoXdz8zAMndy2WU0VLH3TXA72oZaWw2tP0Nd8Zk5IIG329g9bALOKLBRmf5kwsCvxUW7yisr5cfMeu8MJDUveMH+GQrIdoHMfyBwFhheWv2N3NCIiIiIituqQObmnTZvGpk2bqKys5Pvvv2fMmDG+2+bOndtgZqOxY8fy3XffUVFRwbp16/jLX/5Sr0dZOJg4uCvREU7W7yxlWV6x3eEEv7WzzGbb8d2gz/F2R9M+ug6CroeDtxpWvGd3NEFv654yvt+wG4eDkOkFGBPp4pQhZv/Hd1WV2nZeDyz/j7lsVXKGAivhvuxte+MQEREREbFZhyTJpOUSoiM4aZBObtvN8n+bP4ecDc4QSrgOre2ttlQnt231v6VmReuYXilkJMfYHE37mZRjVqV+uHQ7VTXeQ6wtB7Xxa9i3A6KToc+JdkfTfgafBQ4XbFsEu9bZHY2IiIiIiG2UJAtgZw3PAOC/S7ZR49HJbatVle5vbj/kXHtjaW9DzgUcsPlbKNpsdzRB7b9LzIb9ZwzrbnMk7Wtsn86kJURRXF7N3J8L7A4nuC2rTbYPOhPcITSRTHzq/gpb9TgUERERkTCmJFkAO+awVFLiIincV8XXawvtDid4/fwxVJdBp17Q/Qi7o2lfSd0h+2hz2TqBlxZbt3MfP20rwe10cGrt8MRQ4XI6OGOYmXB/L1dVqa1WUwkrPzCXDw+xZDvUH3KpPpgiIiIiEqaUJAtgES4npw9NBzTLZZtYPYSGnAMh0Iy9gcNrh1yqn1CrWVVkxxzWhU5xIVQhVMuaCGTWygJKKqptjiZIrZ0FFcWQkA49x9kdTfsbcBq4Y2D3OnPYpYiIiIhIGFKSLMCdaZ3crthBRbXH5miCUPkeWPO5uRyK1R9gDv1yRULBCshfbnc0QccwDD6oTZKdXltxFWoGZyRyWFo8VTVePl2eb3c4wcmq1BwcYn0NLVEJZqIMVJUqIiIiImFLSbIANzwrmYykaEqrPHy1eqfd4QSflf81Z39MGwxpA+2Oxj9ikuGwk81lzXLZYiu2l7B+ZylRbicnDepqdzh+4XA4+OVQMwH4iZJkLVe5b39fw1BNtsP+IZfL3wGv+mCKiIiISPhRkizAORwOThliDrn8WCe3LWdVRBx+jr1x+NugM82fK963N44gZFWRnTAgjYToCJuj8Z/TDjd7rX29plBDLlvq54+hphxSekPGcLuj8Z8+x0NUEuzLh60L7I5GRERERKTDKUkWBH4x1Dy5nbViB5U1GnLZbKWFsPFrc3nw2fbG4m/9JppDLgtXQ8Equ6MJGoZh8L8l2wF8ze1D1WFdE+ibFk+Vx8sXKzXLZYusrE0+Dz4rNPsaWtxR0P8Uc3nFB/bGIiIiIiJiAyXJgsDwrE50TYxib2UN89Zolstm+/kjMLyQPgxSetkdjX9FJ0Hv481lVZM12/K8EvKKyomJcDG+f5rd4fjdabUzd360bLvNkQSRqjJYM8tcHniGvbF0BOsxrvxAs1yKiIiISNhRkiwIOJ0OTq0dcvnRMg25bLaV/zV/Djzd3jg6ioZcttinP5n/T+P7pxITGYLN2A9w6uHm+8jc1TvZV1ljczRBYt1sc6hlcg8z4R7q+p4IEXFQvEWzXIqIiIhI2FGSLEicVnty+/mKfKpq1FD5kCqKYf1cczkcqj8A+p8KTjcU/ASFa+2OJih8UpskO6W2wirUDeiWQK8ucVTVeJmzSkMum8UadjjwjNAeammJiIF+1kQgGnIpIiIiIuFFSbIgMaJnJ1IToiipqOGbdRpyeUhrPgdPFXTpB6n97Y6mY8SmQK9jzeWVqiY7lLUF+1hbsI8Il4PjB4T+UEswJwI5tTYh+PFyDbk8pJoqWP2JuRwuFamgIZciIiIiEraUJAsSLmedk1v1Ezq0lbUVEAN+aW8cHU1DLpvNGmp5VJ8uJIbwrJYHsqpS56zaSVmVhlwe1IavoLIE4rtC5mi7o+k4h50M7mjYvR52LLc7GhERERGRDqMkWRA5ZbCZJJu9sgCPV9/uN6m63Kwkg/Cq/gAzKehwwvYlsGej3dEEtM9qk2QTB4fHUEvL4IxEslJiKK/28NVqVaUelFWROeCX4Ayjj8uoeOhzormsIZciIiIiEkbC6Kg/+I3qlUJCtJtdpVXkbtljdziBa90XUF0GiZmQMdzuaDpWXBfocZS5/PMn9sYSwPKKylmytRiHA04a1NXucDqUw+HgpIFWwn2HzdEEMK8HVn1oLodbsh1gUO2Qy1X/szcOEREREZEOpCRZEIlwOTm+v9k76fMVarrdpJW1J3UDTw+PRtsH6n+q+fPnj+yNI4BZVWSjeqaQmhBlczQdb8Ig833ki1WqSm3S5vlQtguikyH7aLuj6XiHnQwOFxSsgD2b7I5GRERERKRDKEkWZKyql1mqAGmc1wOrPzaXB4ZZPzKLlSTb9I05y6c0YPUjO3lweFWRWUZlqyr1kKyG/f0mgit8etb5xKZAjyPN5dWqShURERGR8KAkWZA5rn8qbqeDtQX72FBYanc4gWfrQijfY1Z/ZB1pdzT26NzHnNXTWwNrZ9kdTcApLq9m4UYzMXTyoPDqR2ZRVWozrP7U/NnvFHvjsJOqUkVEREQkzChJFmQSoyM4sndnAGatUDVZA1bFw2Engcttbyx28p3cfmxvHAHoq9U78XgN+qbF06NzrN3h2GaCqlKbtmsdFK4Gpxv6nGB3NPbpV/s+svEbqCixNxYRERERkQ6gJFkQmjCwtgJEJ7cNWdUfh020Nw67WSe3az4DT7W9sQSYOavMyqkTBqTZHIm9juunqtQmrfnM/NljLMQk2xqKrbr0hc59wVsN62bbHY2IiIiIiN8pSRaErAqQHzbuZk9plc3RBJCizWaTaYcT+p5odzT2yhoNMSlmT7LN39kdTcDweA3mrt4JKEmWFBPBmN4pgGa5bMDXjyyMh1parOdAs+WKiIiISBhQkiwIZXaKZWB6Il7DnJ1OallVZFlHmk2nw5nTZTYcBzXdriN3SxG7S6tIiHYzomcnu8Ox3YSBZsL9cw3d3q+ixBxeCEqSAfQ/zfy55lPw1Ngbi4iIiIiInylJFqSsIZdf/KwkmY+v0fbJ9sYRKOo23TYMe2MJENZQy+P6pRLh0tuflSRbuHE3RWWqSgVg/RxzeGFKH3O4YbjLGmNOhFK+B7YusDsaERERERG/0llikBpfOzPdvDWF1Hi8NkcTAKpKYcNX5rKqP0x9TgBXJOxeD7vW2h1NQJitfmT1ZKXEclhaPF4Dvl5TaHc4gUGzWtbncsNhtV88aCIQEREREQlxSpIFqZysZJJiIigur2bJ1iK7w7Hfhq/AUwnJPSB1gN3RBIaoBLPxOMBaNd3eXlzOyu0lOBz7k8wC4/unAvBlba+2sOb11kmShfnkH3VZz8XaWfbGISIiIiLiZ0qSBSmX08Exh3UBYO7POrmt12jb4bA3lkDSd4L5c+3n9sYRAKz+fcOzkkmJi7Q5msBxXD8zYfjl6p14vWE+LHfbIigrhKhE6HmU3dEEjj4nmBOiFKyA4jy7oxERERER8RslyYKYVQ0T9kkyw9hf/XGYqj/qsZJkG+dBdbm9sdjM6kd2Ym0fLjGN6tWJ2EgXO/dWsjK/xO5w7GUl2/ueCK4Ie2MJJLEp0H2EubxOVakiIiIiErqUJAtix/Uzh0ktyytm595Km6OxUf4y2LsdImIh+2i7owksaQMhsTvUVMCmb+yOxjYV1R7mrTV7bh2voZb1RLldHNWnM6CEO2tqKy4P0+QfDfiqUjXkUkRERERCl5JkQSw1IYoh3RMB+HpNGJ/cWpUNvY6FiGh7Ywk0DodZFQOwJnxPbhds2E1FtZduidEMTE+wO5yAYyXcw7ovWWkhbF9iLvc5wd5YApGVJFs3Fzw1toYiIiIiIuIvSpIFOevkNqwrQNZ9Yf7sc6K9cQQqVYDwVW3y59h+XXCoZ10DVl+yHzftoaSi2uZobLJuDmBA1yGQ0M3uaAJPxnCI6QSVxZD3g93RiIiIiIj4hZJkQc7qS/bVmp14wrHpdlUpbP7OXFb1R+N6HQcOF+xaA3s22h2NLb5eYw61PLY2qSz19egcS+8ucXi8Bt/WDksNO75ku95HGuV07X9uwjjhLiIiIiKhTUmyIDc8K5nEaDdFZdUs2Vpkdzgdb+M34KmC5B7QuY/d0QSmmGTIGmMurw2/pts7Sir4ecdeHA4Y16eL3eEErOP6h3FVqmHsT5L1VUVqk1SVKiIiIiIhTkmyIOd2OTnmsDA+ubX6kfU5wey/JY2zTvzD8OTWqiIb2j2JTnGRNkcTuOoO3TaMMKtK3fET7MsHdwz0GGt3NIHLqiTbthj2heHnjYiIiIiEPCXJQoBVAfLlzwU2R2ID9SNrHqsCZP2XUFNlbywdzOpHZiWTpXFH9u5MlNtJfkkFq3fsszucjmW9j2QfDe4oe2MJZAndoNvh5vL6OfbGIiIiIiLiB0qShQCrAmRpXjFFZWGUACnaAoWrzX5bvY61O5rA1m0oxKVCdSls+c7uaDqM12swb636kTVHdISLI3t3BuDL1WGWcLcqUjXU8tA05FJEREREQpiSZCGga2I0h6XFYxgwf90uu8PpOFb1R+ZIs++WNM3p3F9tF0Z9yVZsL2F3aRVxkS6G90i2O5yAZyUS560No/eRqjLYNN9cVkXqofmSZLPB67U3FhERERGRdqYkWYgY19dsSD4vnGamq9uPTA6tz/Hmzw1f2htHB/pqjTnUcmyfLkS49HZ3KEfXvo8s2LCLyhqPzdF0kE3fgKcSkrKgy2F2RxP4MkdDRByUFcKO5XZHIyIiIiLSrnTWGCKsk9tvwiVJ5vXA+rnmsqo/mqfXcebPbblQttvWUDqK1Y/suH6a1bI5+nWNp0t8FBXVXhZtKrI7nI7h62t4vCb/aA53JGSPM5fDKOEuIiIiIuFBSbIQcWSfzricDjbuKmPL7jK7w/G/vEVQUQzRSZAx3O5ogkNiOnTpDxiwcZ7d0fhdaWUNP27aA6hpf3M5HA7G9TX7koVNwt0afqxke/NZCXfriwoRERERkRChJFmIiI9yMzwrGYBv14XBya1V/dF7PLjctoYSVHqPN3+Gwcnt9xt2Ue0xyEqJoWfnWLvDCRrW0O1vwuF9pGQbFP4MDif0Ps7uaIKH9T6y6duwmy1XREREREKbkmQhxDq5/XpNGJzcWsN8rJM1aZ4wSpJZ/wfHHJaKQ8Poms16H1mypYiSimqbo/GzDV+ZP9NzIKaTraEElbRBENsFqstg60K7oxERERERaTdKkoWQow8zT26/XbcLr9ewORo/qiqDLQvM5V6q/miR7HFm1czudVC0xe5o/Mqa6dXq1yfN0z05ht5d4vAa8F2oz5ZrJcl6HWtvHMHGWafyTn3JRERERCSEKEkWQnKykomLdLG7tIqV+SV2h+M/W74DbzUkZkJKb7ujCS7RSdB9hLkcwie3hfsqWZW/F4Aje3e2OZrgMy4cJgIxDCXJ2kJ9yUREREQkBClJFkIiXE7G9A6Dptt1T2w1jK7lwmDI5XfrzQqoAd0SSImLtDma4GMlyeaF8vvIng1QvAWcEdDjSLujCT7W+8jWH6AihL+UEREREZGwoiRZiNl/chvCw6RU/dE2viTZl2Y1TQj6tnaY4FF9NNSyNcb27ozTAet2lpJfXGF3OP5hvY9kjoLIOHtjCUadekKnbDA8ZgN/EREREZEQoCRZiLH6Ly3YsIvKGo/N0fhBRTFsW2wu9zrG3liCVeYocMdAaQEUrLQ7Gr+Y70uSaahlayTFRnB4ZjIQwlWpSra3nZVwD+Gh2yIiIiISXpQkCzH9usaTmhBFRbWXRZuK7A6n/W36FgwvpPSBpEy7owlO7ijoeZS5HIJDLrcXl7OhsBSnA0b3TrE7nKB1dN8QHrqtfmTtQ33JRERERCTEKEkWYhwOh696xurLFFJ0Yts+QrgvmVVFdnj3JBKjI2yOJniNqx2q+s26QoxQG5ZbsBJKd5oVlZkj7Y4meFlJsoIVsHeHvbGIiIiIiLQDJclCkDWb33wlyaQpvWtPbjfPB0+NvbG0M6sf2Vj1I2uTI3p2ItLlZEdJJRt3ldkdTvuy3kd6jjUrK6V14jpDt8PNZes5FREREREJYh2SJHviiSfIzs4mOjqaMWPGsGDBgmbd74033sDhcDBp0iT/BhhirCRZ7uYiKqpDqC9ZaSHsWG4uZ6sfWZt0HQLRSVBZAvlL7Y6m3RiGoX5k7SQ6wkVOj2QgBKtSlWxvP1Y12aZ59sYhIiIiItIO/J4ke/PNN7nhhhu47bbbWLRoEcOGDWPixIkUFBQc9H4bN27kxhtv5JhjlAxpqezOsXRNjKLK42XR5j12h9N+Nn5t/kwbDPGp9sYS7Jwu6FHbl2xj6Jzcbt5dRl5ROREuByOzO9kdTtCzEu4hlSTzeva/5pUka7vso82fIfQ+IiIiIiLhy+9JsocffpirrrqKqVOnMmjQIJ566iliY2N5/vnnm7yPx+Ph4osv5o477qB3794H3X5lZSUlJSX1LuHO4XDUObndbXM07chX/aHEabuwTm43fWNvHO3IGmqZk5VMbKTb5miC35G1Ex98t35X6PQl254LlcUQlQTdhtkdTfDrMRZwwK61sDff7mhERERERNrEr0myqqoqfvzxRyZMmLB/h04nEyZMYP78+U3e78477yQtLY0rr7zykPu49957SUpK8l2ysrLaJfZgF5IVIBoi1b58SbJvzeqaEDBf/cja1RE9QrAvmfU+kj0OXEqktllM8v6+ZKomExEREZEg59ckWWFhIR6Ph65du9a7vmvXruTnN/6N87x583juueeYOXNms/Yxffp0iouLfZctW7a0Oe5QMDbU+pIV55mVCg4n9BxndzShodvhZjVNiPQlMwzDV0mmfmTtIyT7kinZ3v405FJEREREQkRAzW65d+9eLr30UmbOnEmXLs2rBImKiiIxMbHeRaBn51i6JUaHTl8yqx9Z+jCzckHazumCnqHTl2xtwT4K91US5XYyvDaxI20XUlWpnmrY/J25rMk/2k8IDt0WERERkfDk1yRZly5dcLlc7Nixo971O3bsoFu3bg3WX7duHRs3buT000/H7Xbjdrt56aWX+OCDD3C73axbt86f4YYUsy9ZbT+hdSFwcmudfFknY9I+smur8kIgSTa/NokzMrsTUW6XzdGEDut95Pv1u4O/L9n2JVBdBtHJkDbI7mhCh9WXrHA17N1xyNVFRERERAKVX5NkkZGRjBgxgtmzZ/uu83q9zJ49m7FjxzZYf8CAASxbtozc3Fzf5YwzzuD4448nNzdX/cZaKKSa92/61vzZU0mydhVCfcm+32C+zsf00lDL9mT1JcsvqWBTsPcls5LtPY8CZ0AVUge32BToOsRcVjWZiIiIiAQxv3ctvuGGG5gyZQojR45k9OjRPProo5SWljJ16lQALrvsMrp37869995LdHQ0Q4YMqXf/5ORkgAbXy6FZSbLcLUWUV3mIiQzS6pq9O8x+ZDigxxi7owkt3YZCVGJtX7JlkJFjd0StYhgGC2qTZKN7pdgcTWix+pIt2LCb79bvIrtLnN0htZ4v2a6+hu0u+2jYscysSh1ytt3RiIiIiIi0it+/Sj///PN56KGHuPXWW8nJySE3N5dPPvnE18x/8+bNbN++3d9hhKW6fckWB3Nfss21J7Zdh0BMJ3tjCTUh0pds064ydu6tJNLlJCcr2e5wQk5I9CXzemBT7azK1mte2o/6komIiIhICOiQ8SbTpk1j06ZNVFZW8v333zNmzP5qoLlz5/Liiy82ed8XX3yR9957z/9BhqB6fcmC+eTWV/2hE1u/CIGZ6awqsmFZSURHBGnFZADb/z4SxH3JClZAZTFExpsVlNK+rPfnnatg3057YxERERERaSU1ZQlxIdGXTEky/wqBvmTfa6ilX4VEXzLrfSRrDLj83mkg/NTrSxa8CXcRERERCW9KkoW4sX3MJNniLXsorwrCBEjZbtjxk7msJJl/+PqSFZt9yYLQgo1mpeRoNe33C6svGQRxVapVKan3Ef/xVaVqyKWIiIiIBCclyUJcjxSzL1m1x2DxliDsS7b5O8CAzodBfJrd0YQmpwt61M42G4T9hLYVlbNldzlOB4zoqZ51/mJVpc4PxiSZYahpf0ewntsgHrotIiIiIuFNSbIQ53A4GFU7BO2HjUGYJLOSNqr+8K8g7ku2cKM51HJwRhLxURpG5y9jgvl9pHANlBWCOxq6H2F3NKHLSpLtXAmlhfbGIiIiIiLSCkqShYFR2WZ1jZVMCCqq/ugYVhJy83fg9dobSwupH1nHyMlKxuV0kFdUTl5Rud3htIyVbM8cBe4oe2MJZXGdIW2Qubx5vr2xiIiIiIi0gpJkYWBUtpk8WLRpDzWeIEqAVO6F7UvMZVWS+Ve3oeCOgfLdsGuN3dG0yAIlyTpEXJSbIRmJAPwQbAl3Tf7Rcayh25u/szcOEREREZFWUJIsDPTrmkBCtJvSKg8rt++1O5zm27IADA8k9YDkLLujCW3uSMgcaS5bCYUgULivkrUF+4D9yWDxn5G1z7GVmAwKhqFh2x3J198weN5HREREREQsSpKFAZfTwcjahuYLgqkCRNUfHSsIK0CsiqZ+XeNJiYu0OZrQZyUig6ovWdFmKMkDp9scbin+1eNI8+f2JVBVam8sIiIiIiItpCRZmBjpO7lVkkyaYJ3cBlEvoQUbzGSNhlp2jJG1/Q1/3rGXorIqm6NpJut9JGM4RMbZG0s4SM6CxEyzCnjrD3ZHIyIiIiLSIkqShQkribBw424Mw7A5mmaoroC82hMsNe3vGFmjweGEok1Qss3uaJplwcZdAIzu1dnmSMJDl/goeqeaiaYfNwVJNdmm2hlblWzvOL6Ee/BUpYqIiIiIgJJkYWNoZhKRbieF+6rYuKvM7nAOLe9H8FRBXBp07mN3NOEhKgG6HW4uB0E1WUlFNSu2lQAwWv3IOsyonrV9yYKlKtVXkXq0vXGEk57W0O3Afx8REREREalLSbIwEeV2MSwzCYCFwdB0u+5QS4fD3ljCSRD1Jftx0x68BvTsHEu3pGi7wwkbo3oFUV+yvfmwez3ggB5j7I4mfFjvI1sXgqfG3lhERERERFpASbIwYjXdDooKEN9sdBpq2aF8M9MFfgWINcOiZrXsWKNq+5It3VpERbXH5mgOwapk6jYEopPsjSWcpA6EqCSo2gc7ltkdjYiIiIhIsylJFkZGBUvzfm+dhs9WbxvpGNbzvWM5VBTbG8shWBWRGmrZsXqkxJKWEEW1x2DJliK7wzm4zd+bP7P0PtKhnM79lXtBUJUqIiIiImJRkiyMHNGzEw4HbNxVRsHeCrvDadqOn6BqL0TGQ9fBdkcTXhK6QadegAFbFtgdTZMqazwszTOTeNaMi9IxHA6HL+G+MNAT7lusJJmGWna4IJwtV0RERERESbIwkhQTwYBuiQAs3BDA/YSsE9vMkeB02RtLOLJmAQzgk9vleSVU1XhJiYukV5c4u8MJO1ZicmEg9yWrKoP8peay+pF1vB617yOb5kMwzKgsbfLEE0+QnZ1NdHQ0Y8aMYcGCpr9kmTlzJscccwydOnWiU6dOTJgw4aDri4iIiHQkJcnCzCjfyW0AV4Bs0RApW/kqQAJ3mNSPm8zX7xE9OuHQxA4dzqokW7RpDx5vgCZA8n4Ebw0kZEBSlt3RhJ+M4eCKhNKC2skTJFS9+eab3HDDDdx2220sWrSIYcOGMXHiRAoKChpdf+7cuVx44YXMmTOH+fPnk5WVxcknn0xeXl4HRy4iIiLSkJJkYSYohklZSTJVf9jDNzPdD1BTaW8sTfhxk1nBpKGW9hiYnkh8lJu9lTWsyi+xO5zGbalN8vYYoxly7RARDRlHmMsBnHCXtnv44Ye56qqrmDp1KoMGDeKpp54iNjaW559/vtH1X331Va699lpycnIYMGAAzz77LF6vl9mzZ3dw5CIiIiINKUkWZqwk2crtJeytqLY5mkaUbIeizeBwQveRdkcTnjr3hdgu4KmEbbl2R9OAYRj7k2Q9lSSzg8vp4Ija5/6HQB1yqab99lNfspBXVVXFjz/+yIQJE3zXOZ1OJkyYwPz5zfu7l5WVUV1dTUpK45OwVFZWUlJSUu8iIiIi4i9KkoWZbknRZKXE4DVg0eYiu8NpyKr+SBsM0Yn2xhKuHI6APrndvLuMwn1VRLqcDOmeZHc4YWtUbZJsQSBWpXq9sLW2x5EqUu1jVaUG4PuItI/CwkI8Hg9du3atd33Xrl3Jz89v1jZuvvlmMjIy6iXa6rr33ntJSkryXbKyNHxaRERE/EdJsjBkVZP9EIgnt1t0YhsQAvjk1qpcGtI9kegITexgl1G9aodub9iNEWiN2Qt/hopiiIiFrkPsjiZ8We/ju9bCvp32xiIB6b777uONN97g3XffJTo6utF1pk+fTnFxse+yZcuWDo5SREREwomSZGFoRG0FyKLNAThMyupdoyFS9uppJcm+M6tyAsgPtUMtR2iopa1yspJxOx0U7K1k655yu8Opz3of6T4CXBH2xhLOYjpB2iBzeYv6koWiLl264HK52LFjR73rd+zYQbdu3Q5634ceeoj77ruPzz77jKFDhza5XlRUFImJifUuIiIiIv6iJFkYOqKHmVzI3VwUWDPTVZVB/lJzOWu0vbGEu25DwR0DFUWwa43d0dSzyJcka7x/jXSM6AgXgzPMk9WAS7j7Jv9Qst12QTBbrrReZGQkI0aMqNd032rCP3bs2Cbv98ADD3DXXXfxySefMHKk+o+KiIhI4FCSLAz165pAfJSb0ioPP+fvtTuc/bYtAm8NJKRDcg+7owlvrgjoXjsznTUENgAUl1ezusB8zaqSzH5W834rcRkwVJEaOLJqh1wG0PuItK8bbriBmTNn8q9//YuVK1dyzTXXUFpaytSpUwG47LLLmD59um/9+++/n1tuuYXnn3+e7Oxs8vPzyc/PZ9++fXY9BBEREREfJcnCkMvpYHiPZAB+DKQKEN+J7RizebzYK3OU+dOqygkAizfvwTCgZ+dYUhOi7A4n7FlVqQH1PrKvAPZsAByQNcruaMSqCt6eCzWVtoYi/nH++efz0EMPceutt5KTk0Nubi6ffPKJr5n/5s2b2b59u2/9J598kqqqKs4991zS09N9l4ceesiuhyAiIiLi47Y7ALHH8B6d+HpNIYs27eHSI3vaHY5JQ6QCi1UBsnWhvXHU8aP6kQUU6++wcvteyqpqiI0MgI8U630kbRBEa/ZT23XqBbFdoKwQti/RUPoQNW3aNKZNm9bobXPnzq33+8aNG/0fkIiIiEgrqZIsTAVc836vd/9wHJ1EBQarkmznKigPjNeJlSQbqX5kASEjOYZuidF4vAZLthTbHY7JqkjVDLmBweHY/54eQFWpIiIiIiKNUZIsTOVkJQOwaVcZhfsCYAhM4WqzSXxErNk0XuwXnwopvc3lrT/aGwtQ4/GSu6UIUCVZIAm4hLuViMlSkixg+JJk6ksmIiIiIoFNSbIwlRQTQb+u8UCANN3eUlv90X2E2TReAkNm4FSArMrfS1mVh4RoN4elxdsdjtQKqOb91eWwLddcVpIscFjvI1sXghFAMyqLiIiIiBxASbIwZlWABETTbd9QS53YBhSrAmSr/RUgP2zcDZjN4p1OTewQKI6onQRk0eY9GHYnQLYtBm81xHeFTtn2xiL7ZQwHpxv2bofiLXZHIyIiIiLSJCXJwtjwHgFUAVJ3ZksJHL4k2Q/g9dgayg++fmQaahlIBmckEel2sqesmg2FpfYGU3eopWbIDRyRsdDtcHNZQy5FREREJIApSRbGrEqypVuLqarx2hfIvp2we525nDXKvjikobRBEBkPVfugYKWtoVjJ3BHZSpIFkki3k6HdzVkkF20usjeYzZohN2DVHXIpIiIiIhKglCQLY727xJEcG0FljZcV20vsC8Qaypc6EGKUAAkoTpfZJw5sHXK5raicbcUVuJwO36QTEjh8Q7ftrEo1jDqVZEqSBRzNcCkiIiIiQUBJsjDmcDg4IhCGXPqGWo62LwZpWgDMTGclXwalJxIb6bYtDmlcQAzd3r0eyneDO3r/0D4JHNb7SP4yc4IFEREREZEApCRZmAuI5v1bfzB/qh9ZYLL+LgGQJBuhfmQB6YieyQCsLthLSUW1PUFYw/jSc8AdaU8M0rSkLIjvBt4ac4IFEREREZEApCRZmBtuzUxnVwWIp3r/CVOm+pEFpMyR5s/d66C00JYQFm8pAva/XiWwpCVEk5USg2FArl19yawkmfV6lcDicOzvOakhlyIiIiISoJQkC3PDMpNxOR1sL65gW5ENQ2B2/AQ15RCdBJ37dvz+5dBiOkGX/uayDU23K6o9rNhWDOAbHiyBZ4Q15NKuqlSr0lHJ9sDlq0pV834RERERCUxKkoW5uCg3A9MTAJtObq2kS/eR4NTLMWDZWAHy07YSqj0GXeIjyewU0+H7l+Y5ws7m/VWlZsIdlCQLZL4ZLheYEy2IiIiIiAQYZSXEV51jy8mt1Y9MJ7aBzcYKkMW1yducrE44HI4O3780j/U+kru5CK+3gxMg23LB8EBCBiR179h9S/OlDwNnBJTuhD0b7I5GRERERKQBJcnE1wx9kR29hHx9hJQkC2hWBUjej2YfuQ6Uq35kQWFAtwRiI13sraxhTcG+jt25+pEFh4hoyMgxlzXkUkREREQCkJJk4qsA+SmvmIpqT8ftuGy32QweoPsRHbdfabku/cy+cTXlsGN5h+56cW3yVkmywOZ2ORmWmQzYMHRbyfbgUXfIpYiIiIhIgFGSTMjsFENqQhQ1XoOlW4s7bsfWUMvOh0FsSsftV1rO6dyfgOjACpCCkgryispxOGBobQJGAtcRPZOBDh66bRhKkgWTrNokmWa4FBEREZEApCSZ4HA4GJ6VDEDulg48udWJbXDJ7PiT28W1Qy37d00gPsrdYfuV1tk/dLsD30eKt8K+HeB0mz2vJLBZSbIdP0FlBw/LFRERERE5BCXJBIDhVtPt2qREh1AfoeBindxu7bhKMg21DC45Web7yPqdpRSXdVDvOuv12HUIRMZ2zD6l9RIzIDETDK/Z41BEREREJIAoSSYA5NRWki3uqOb93jonSKokCw7djwAcULQJ9u3skF1aM1sOr02+SGBLiYukZ2czUZW7tahjdqoZcoNPVu3fKu8He+MQERERETmAkmQCwNDMJJwO2F5cwY6SCv/vcNcaqCyBiFhIG+T//UnbRSeZDfyhQ05uazxeX488VZIFDyvhnttRCXcN2w4+3Wurh7cqSSYiIiIigUVJMgEgLspNv64JQAdVk1knthnDwaVeU0Ejs+NObn/esZfyag8JUW76pMb7fX/SPnI6sr9hTSVsX2Iua9h28Kj7PmIY9sYiIiIiIlKHkmTiY1XrLO6Ik1v1IwtO3UeYPzugksxK1ub0SMbpdPh9f9I+6vY3NPydAMlfDp5KiEmBlN7+3Ze0n/Rh5kQLpQVQvMXuaEREREREfDokSfbEE0+QnZ1NdHQ0Y8aMYcGCBU2uO3PmTI455hg6depEp06dmDBhwkHXl/bTocOk1EcoOFl/r7xFZl85P/I17a99XUpwGJieQKTLyZ6yajbtKvPvzuoOtXQokRo0ImLMiRZAQy5FREREJKD4PUn25ptvcsMNN3DbbbexaNEihg0bxsSJEykoKGh0/blz53LhhRcyZ84c5s+fT1ZWFieffDJ5eXn+DjXsWRUgy/KK8Xj9WAFSuRcKVpjL3VVJFlTSBpl95CpLoHC1X3dlVTRar0sJDlFuF4MyEoEOmC1X/ciCl1VFrBkuRURERCSA+D1J9vDDD3PVVVcxdepUBg0axFNPPUVsbCzPP/98o+u/+uqrXHvtteTk5DBgwACeffZZvF4vs2fP9neoYa9PajzxUW7Kqjys3rHXfzvathgMLyRlQWK6//Yj7c/lhvQcc9mPQy6LyqpYv7MUgGGqJAs6+/uSFfl3R1trq4w1bDv4qHm/iIiIiAQgvybJqqqq+PHHH5kwYcL+HTqdTJgwgfnz5zdrG2VlZVRXV5OSktLo7ZWVlZSUlNS7SOu4nA6GZiYBfm7er35kwS2zti+ZH09ureRKdudYUuIi/bYf8Y/9/Q2L/LeTvTugaDPggO5H+G8/4h/W+//2XPBU2xqKiIiIiIjFr0mywsJCPB4PXbt2rXd9165dyc/Pb9Y2br75ZjIyMuol2uq69957SUpK8l2ysrLaHHc4s05u/ToznfqRBTerAsSPlWS+fmQaahmUhmeZf7cV24qpqPb4ZyfW6y91AEQn+Wcf4j8pfcy/W00F7FhudzQiIiIiIkCAz25533338cYbb/Duu+8SHR3d6DrTp0+nuLjYd9myRTNltUVO1v6Z6fzCMNRHKNhZf7cdK6Cq1C+7sF5/VtJWgktWSgwpcZFUewxWbPdTda8qUoOb07l/tlwNuRQRERGRAOHXJFmXLl1wuVzs2LGj3vU7duygW7duB73vQw89xH333cdnn33G0KFDm1wvKiqKxMTEehdpPauX0JqCfeyt8MMQmKJNULoTnBHQrem/qwSwpO6QkA6GB7bltvvmvV5jf5IsS5VkwcjhcPh/tlxVpAa/7mreLyIiIiKBxa9JssjISEaMGFGv6b7VhH/s2LFN3u+BBx7grrvu4pNPPmHkSFUJdKTUhCi6J8dgGLB0a3H778A6sU0fChGNVwdKELAqQPww5HLDrlKKy6uJcjsZkJ7Q7tuXjjHcn837PTWQt8hcVpIseGWqeb+IiIiIBBa/D7e84YYbmDlzJv/6179YuXIl11xzDaWlpUydOhWAyy67jOnTp/vWv//++7nlllt4/vnnyc7OJj8/n/z8fPbt2+fvUKXW/r5kRe2/cQ21DA1+PLm1+pENzUwiwhXQI8LlIHJ8zfv90N9w50qoLoWoRLMnmQQnq5Js1xoo92MfTBERERGRZvL7Gej555/PQw89xK233kpOTg65ubl88sknvmb+mzdvZvv27b71n3zySaqqqjj33HNJT0/3XR566CF/hyq1rGFSizf74aRFSbLQ4MdhUtbrTk37g9vQzGQAtuwuZ9e+yvbduPU+0v0Is7eVBKe4ztCpl7lsVQaKiIiIiNjI3RE7mTZtGtOmTWv0trlz59b7fePGjf4PSA6qbiWZYRg4HI722XB1BWxfai6r2XZwyxgODieU5EHJNkjMaLdN+2a2rE3WSnBKiomgT2oc63aWkruliBMHdj30nZpL/chCR+ZI2LPBTLj3PdHuaEREREQkzOkreGlgcEYSES4Hhfuq2LqnvP02nL8UvNUQlwrJPdtvu9LxouIhbZC53I5DLsuqaliVb86GqEqy4Gf9Ddt96Lb1muuuZHvQs/6GVnWgiIiIiIiNlCSTBqIjXAxMN2cJXdyeJ7d1T2zbqzpN7OOH5v1LtxbjNaBbYjTdkjSxQ7DbP3S7qP02WlEMhavNZes1KMGrbn9Dw7A3FhEREREJe0qSSaOsk9vc9jy5tfpX6cQ2NPhObtuvL9mS2qRsjoZahgTr77hkSxFebzslQLblAgYk9YD41PbZptin2+HgioTy3eawSxERERERGylJJo3a35esHZv3+5JkR7TfNsU+1jCpbYvB62mXTS7ZWgTAMCXJQsKAbglERzjZW1nD+sJ2mqFY7yOhxR1lJsqgXRPuIiIiIiKtoSSZNCony+wltHxbCVU13rZvsKxOlUDG8LZvT+yX2h8iE6C6FApWtssml2wpBmBYVlK7bE/s5XY5Gdo9GWjHIZfbamdBVEVq6LAmYGjHodsiIiIiIq2hJJk0KrtzLMmxEVTVeFm5vaTtG7RObFN6Q2xK27cn9nO6oHttwrMdmm7v3FtJXlE5Dgcc3l1JslCRU1uV2m79DfOsJJkqyUJG9zp9yUREREREbKQkmTTK4XDs70vWHie3ear+CEnWyW07VIAsrR1q2Sc1noToiDZvTwJDu/Y3LNkOJXngcEJ6Ttu3J4Ehs/ZzIX8p1FTaG4uIiIiIhDUlyaRJ+2ema4e+ZGraH5rasXm/1bR/WGZym7clgcN6H/l5x17Kq9rYu86qSE0dAFHxbduWBI5OvSC2M3iqIH+Z3dGIiIiISBhTkkya1G6VZIahSrJQZVWS7VwFFW0blpu71exHlqN+ZCElPSmarolReLwGy/KK27YxNe0PTQ7H/s8GDbkUERERERspSSZNspJkG3eVsae0qvUbKt4KpQXgdO+fxUxCQ0JXSOoBGOYsl61kGIZvuKVmtgwtdYdut7kqVcn20NWOQ7dFRERERFpLSTJpUnJsJL26xAGwtC0VIFb1R9ogiIhph8gkoFj9hNrQvH/z7jKKyqqJdDkZ0C2xnQKTQGHNltumqlSvd/9wywxVkoWcTFWSiYiIiIj9lCSTgxqaaQ59W9KWk1v1IwttVgVIGyrJrOTJwIxEIt16Wwo1w2qH0C7d2oZk++71UFEMrijoOridIpOAYX0+7NkApbvsjUVEREREwpbORuWgrCbq1lC4VrGSJ0qShSarP1Re65v3L9lS248sU/3IQtHh3ZNwOCCvqJyde1s5e6H1+kofBi7NfhpyYjpB577mslUxKCIiIiLSwZQkk4OyKkBytxRjGEbLN+D11EmSaYhUSEofBg4n7N0OJdtatQn1IwttCdER9Ek1Z6NsdcJ9m/qRhTzrb5unJJmIiIiI2ENJMjmowRlJuJwOCvdVsq24ouUbKFwNVfsgIg5SB7R/gGK/yDiz3xy06uS22uNl+TazkkxJstBlVaUuae2QSw3bDn0Zba9KFRERERFpCyXJ5KCiI1wM6JYAwNLW9CWzTnYycsDpare4JMBkDDd/tuLkdvWOvVRUe0mIctOrc1w7ByaBwqpKbVV/w5oq2L7UXFZFauiyEqDbFkFrKpdFRERERNpISTI5pKG1FSC5rRkmZVUW6cQ2tNU9uW0hqx/Z0KwknE5He0YlAWR/JVlRy4duF/wEnkqIToKU3u0fnASGboeD0w2lO6F4i93RiIiIiEgYUpJMDimnLRUgGiIVHnzN+xeD19uiu/r6kdUmUSQ0DUhPINLlpKismi27y1t257w6/cgcSqSGrIjo/TOXasiliIiIiNhASTI5JKtP1PK8EjzeFlSAVFfAjuXmcoYqyUJa2iBwR0NlMexe16K75tYmX9WPLLRFuV0MTDeHbre4KjVPTfvDhq8vmZr3i4iIiEjHU5JMDqlvajwxES72Vdawfue+5t8xfxl4ayC2CyT38F+AYj9XhDnLJbTo5LasqobVO/YCqiQLB1YitMX9DVWRGj40w6WIiIiI2EhJMjkkt8vJ4d1rh1y2ZGa6bRoiFVZaMTPd8rwSvAZ0TYyiW1K0nwKTQDG0Tl+yZqvcCztXmcuqSA19VpJsey54PbaGIiIiIiLhR0kyaZZWzUyn6o/w0orm/epHFl6s/obL8oqp8TSzd922XMCAxExI6Oq32CRApPaHiDio2geFq+2ORkRERETCjJJk0iytqgDxJclU/REWrL/z9qVQU9Wsu6gfWXjp3SWe+Cg3FdVe1hQ0c+j2Ns2QG1acLsjIMZc15FJEREREOpiSZNIsObVJjJXbS6isacYQmPIi2LXWXNYQqfCQ0huik8BTCQUrmnWXJaokCytOp2P/0O3mVqWqIjX8ZAw3f2qGSxERERHpYEqSSbNkdoqhU2wE1R6Dldv3HvoO2xabPztlQ1xnv8YmAcLhqNN0+9Ant7v2VbJldzkAh2cm+TMyCSBW1WCz+xvmqZIs7LRi6LaIiIiISHtQkkyaxeFw7D+5bU4FiKo/wpOvef+hT26X5plJkt6pcSTFRPgzKgkgOS3pb7ivAIq3AA5Iz/FnWBJIrIRo/nKoqbQ3FhEREREJK0qSSbMNa0lfMitJoqGW4aUFFSBWkiRHQy3DitXf8OcdeymvOsTQbet9JLU/RCf6NzAJHMk9IbYzeKvNRJmIiIiISAdRkkyarUUzXKqSLDxZFSA7V0HlwRuzW6+joRpqGVbSk6JJTYjC4zVYsf0QQy71PhKeWjh0W0RERESkvbjtDsAuHo+H6upqu8Pwu4iICFwuV7tsy6oAWV9YSklFNYnRTQyRK9kG+/LB4YL0oe2ybwkSCd0gsTuU5MH2JZA9rtHVDMPw9aTSzJbhxeFwMCwziVkrC8jdUsyInilNr6wZcsNXxhGw5jMlyURERESkQ4VdkswwDPLz8ykqKrI7lA6TnJxMt27dcDgcbdpOl/goMjvFsHVPOcu3FnNU3y6Nr2id1KQNgsi4Nu1TglDGcDNJlvdjk0myrXvK2V1aRYTLwcB0DaMLN8Myk5m1soClBxu6bRj730s0bDv8qHm/iIiIiNgg7JJkVoIsLS2N2NjYNieOAplhGJSVlVFQUABAenp6m7c5LDOZrXvKyd1adOgkWffhbd6fBKHuI2DV/w5aAWL1tRuYnkh0RPtUOkrwaNYkILvXQ0URuCKh65COCEsCiVU9WLgaKoohWsOyRURERMT/wipJ5vF4fAmyzp072x1Oh4iJiQGgoKCAtLS0Ng+9HJaVxIfLtrN0y0F6CamPUHhrRgWIlRwZpqb9YcnqQ7dxVxlFZVUkx0Y2XGnbYvNnt6HgbuR2CW1xXSC5BxRthm250Ps4uyMSERERkTAQVo37rR5ksbGxNkfSsazH2x492A45w6XXa57QgJJk4Sojx/xZtBlKCxtdZUltklVN+8NTcmwk2Z3N96WlW5tIuCvZLtYwW/UlExEREZEOElZJMksoD7FsTHs+3iHdk3A6YHtxBQUlFQ1X2LUWKkvAHQOpA9ttvxJEopOgSz9zOa9hNVmNx8uyPDMxkqOm/WHLmgikySGXSpKJ+pKJiIiISAcLyySZtF5clJvD0hIAfLMT1mOd2KYPA1dYjeaVug5SAbJ25z7Kqz3ER7npnRrfwYFJoPD1JWvsfcRTbc6OCprZMpxZf/tGku0iIiIiIv6gJJm0mDVErtEKEFV/CBy0AsR63RzePQmXM7yqOmW/nCzzfSR3SxGGYdS/sWAl1FRAVBKk9LEhOgkI6TngcJqz5e7NtzsaEREREQkDSpJJi+2vAClqeKOVFFH1R3izkmR5P8IBCZBcqx9ZlvqRhbNB6WaStHBfJduLDxi6XXeGXKc+psJWVDykDjCXVU0mIiIiIh1AZx/SYlYfqSUHVoDUVEL+MnNZlWThrdsQcEZA2S4o2lTvpqW1ydUczWwZ1mIiXfTvag7dXnpgwl0VqWJR834RERER6UBKkgWp8ePH8+KLL9qy7/7dEoh0OympqGHjrrL9N+xYDp4qiEmBTtm2xCYBwh1lJsqgXgVIRbWHVfl7gf0ViRK+rNeAVV3oY71mMlSRGvasqmQ17xcRERGRDhD2ndUNw6C82mPLvmMiXEE502aEy8ngjEQWby5i6dYienWJM2/IqzPUMggfl7SzjCNg22KzAmTI2QD8tK0Yj9cgNSGK9KRomwMUuw3LTOL1BQdUklWVws6V5rIqyaRu837D0GeLiIiIiPhV2CfJyqs9DLr1U1v2veLOicRGBuefYFhmMos3F5G7pYgzc7qbV/qSZDqxFczXwQ/PmYmyWlbF0LDMpKBMEEv7sirJlm4txus1cDod5qyWhhcSMiAx3d4AxX5pg8EVBRVFsHs9dNZEDiIiIiLiPxpuKa0yLKuRGS7VR0jq8s1wuRg8NcD+iqFh6kcmwGFp8URHONlXWcP6wn3mlb73EQ21FMAdCd0ON5fVvF9ERERE/Cw4y5jaUUyEixV3TrRt3811zz33cM899/h+Ly8v57vvvmPatGm+61asWEGPHj3aNcamWEmOn7aVUO3xElG9FwpXmzeqj5AAdDkMIuOhah8U/gxdB/uSqupHJgBul5PDuyexcOMelmwppm9agpLt0lD3EZD3g9mXbOh5dkcjIiIiIiEs7JNkDocjKIY8Xn311UyePNn3+8UXX8w555zD2Wef7bsuIyOjw+LJ7hxHYrSbkooafs7fy5DKXMCApB4Qn9phcUgAc7ogYzhs/BryFlGUcJhvooehmUk2ByeBYlhmspkk21rEOSMyVUkmDXXXDJciIiIi0jECPzskAKSkpJCSkuL7PSYmhrS0NPr27WtLPE6ng6GZycxbW8jSrcUMqa7TtF/E4kuS/ciS+FMAyO4cS3JspM2BSaAYWltVuGRrMZQWQtFm84aM4fYFJYHFqircvhQ81eCKsDceEREREQlZ6kkmrVavL5mGSEljfH3JFrFUQy2lETm1Q7dXbiuhessP5pVd+kG0qg2lVkofiEqCmnIoWGl3NCIiIiISwpQkk1YbWntyu2RrkWa2lMZZr4cdP/HT5gJATfulvqyUGDrFRlDl8bLr5/nmlXofkbqcTsjIMZe3qXm/iIiIiPiPkmRBau7cuVx++eW2xpBTWxG0Z8dmKMkDhxPSh9kakwSYpEyISwVvDRVblwCqJJP6HA6HL+HusSrJlCSTA1mvCfUlExERERE/6pAk2RNPPEF2djbR0dGMGTOGBQsWHHT9t99+mwEDBhAdHc3hhx/ORx991BFhSgt1TYymW2I0hzvWm1ekDoCoeHuDksDicPhObrMrVuJ2OhickWhzUBJozMSpQfKeZeYVmiFXDuRr3q9KMhERERHxH78nyd58801uuOEGbrvtNhYtWsSwYcOYOHEiBQUFja7/7bffcuGFF3LllVeyePFiJk2axKRJk1i+fLm/Q5VWGJqZxDDnOvMXNe2XxtQmPIY519G/WwLRES6bA5JAMywziUzHTuI8xeCMgG5D7A5JAo1VSVawEqpK7Y1FGtCXoSIiIhIq/J4ke/jhh7nqqquYOnUqgwYN4qmnniI2Npbnn3++0fX/8Y9/cMopp/CnP/2JgQMHctddd3HEEUfw+OOP+ztUaYVhWckMc1hJMg2RkkbUvi6GOtZrqKU0amhmMjm17yOerkPAHWVzRBJwEjOoie0KhofX3v+v3dFIHaH2Zajh9dodgoiIiNjI7c+NV1VV8eOPPzJ9+nTfdU6nkwkTJjB//vxG7zN//nxuuOGGetdNnDiR9957r9H1Kysrqays9P1eUlLS9sCl2XIykxhiVZJpiJQ0prbCsI9zO6O6qg2iNJSaEMW4mE3ggYLEIaTbHZAEpILEwWSU7aBq04/ABXaHI7XqfhkK8NRTT/Hhhx/y/PPP8+c//7nB+nW/DAW46667+Pzzz3n88cd56qmnGqzf0cd5C966n66rX6XUnYzX4SbSU4bX4cJl1FDhTiC6Zi8ODAwcAL5lj8MNOCiP6oy7ppzImn0AlEd2wnC4cHvKiPSUg2EAUOOKwsCJ0/BQ5Y4nrmonpZFdiKzZS4S3knJ3Eg4MIj1lOI0aX3wehxuPM5IITzkODJyGh2pnFNWuWAwcODCoccfi9FaTUJmPUft9eI0zihpnJDXOaBIr8/E6XHgdLkqj0oip3EWkt5xydyLRHjNu6zHVOKOJ9JZh4DCvc0bi9lbiwKDcnUSEpxzD4aQyIom4ygJcRjUOw8DjjDD/fq44XN5q3EYV5e5E3J5K3EZV7WOJoCIimbiqnVQ7ozEcTqpdcURXF+EwvFRGJFDjjsddvRe3t5Jozz6qnNFUueJweyuI9FbU2UcVTsOLAy8V7iSqI+LBMEio2GY+J44Iql0xxFYXUeWMododi9tTTkTtY7Eer8uowWl4cBoeHEBN7eMwcOB1uHF7K6lxRlHpiiO6Zi9OPAB4ceJ1mJXybqMaAwelUWk4vdVE1uyl2hVDTHUxNc4oqtxxRNaUYjicuLzVVLrjiKwpw4EXl1FDtTOaalcsYBDhKcNhGLioodoRRUVUCpHVJUTX7MXrcFHtjKHaFUOEpwyPM5KYmmI8jgiqndFEe/bixen7WzmNGpyGF6dRjduoNv8GuKlyxxHhKaMiohORNftweytx4sFp1OAwDKqcMVS644mtKcKLCwMHZVGpgEF85Q7KIlIwHE7iqgopdycRU1NMpSuemJriOo/FS2RNWe3/jJcIbyVehwuPIwKXUU2VM4aqiASiqouJ8FbiNDx4HG72RXUlrmonDgyqnNF4HW6iPfuodMXhdUTgMDy4vRU4AAOocsfjdUYSV1mAA4MydzKRnlKqXTG4vFV4nNFEeEqpdsURWbOv9lXt9f1vWarc8Ti95nOUUF2IA4PiyHRc3koqI5KJqSrEaXh87w0eh5sIbyWVrjiqXbHE18bscbipcCfi8lZRFZFITNVuXLXPfbUzmoqITkRV78HlrcGJh31RXYmtLMSJBwfme0WZOxmXUU21K44ITymRnjIchpfyiGQMhxMMA48rmqjqYjzOCAyctevHElmzlyhPGRXuBKJq9mE4nNQ4IqlxRRNTU4yBw/e/F+UppcoZQ40rGrenghpXDDHVe/A43Bg4zd9riva/zzgicRhecDgoj0gmqrqEyogkvK5IDJy4a0qJ8JQR5Sml0hWP1+EkwlNBeWRK7fthGU68VLgSiPBWEOEtN/+XHG7K3clE1xT7/oYxtcuVrjiq3InEVBXiNqrx1L4Gql0xRNXso9L9/+3deXxcd3X//9edVbtk2dpteU28706MnUBCErI2kC+BwA8DAUKgLWFJ+LZNaCn0yxdSWlLyJaVA2NsmpBRICGkxNXH2OF7jNd5XWbIk21pGu2a5vz+u7khOvEiWZj6zvJ+Phx5zPZqZezySru49Oud8CrDsqHNktjx4Y86xxmtHnO9dyxo4ckNPoJRAuIO+wJmrqXui/eSHT8d/7vu8+QPHPIh4AnhiEXqDpfgHjkvOscI+4/vHtrwDP08hYpafiC8Xf7iT4MDxNWr58NlhYnjj3382nvi2e8zy2M6/+715hP0FeKN95IVbiOGlz5fv/B4YOD5EBo6ntseJwxMLEwy3E4j10ustJOoJEIx0EPbmELX8BKJdeO0INhaeeAwWXYEycsOt8e9T93jiHvt8A8dd9//dFSzHG+3DM/D4QLSbzmAF/kgXOdGO+HsSw4OHGGEriN/ui//8dORUu+8avkgXMctPX341y+/5KSYlNEl26tQpotEoFRUVZ9xfUVHBnj17zvqcxsbGsz6+sbHxrI9/8MEH+bu/+7uxCVhGbEHeaQqtbvpsP535MxhvOiBJOdGccdTbFdRaTSz1Hwbmmg5JUtBl/sMQhd2eS5Qkk7Pa7bmEatayzH/YdCgyIBl/DE32eV7g2ItMidVBf91bPxl5611vER7mc4be3+/et29k+3JFz7Lfsz3mrHEM2Wf/OR5zLmf7P7hiZ3nM2f5P54v7bI8/2//1zY+LAL3n2ddw3i/X2QoLh/v8oe/t+fb95vjP9/rDjfstsQzjc+d67dhZnh/ZffbXjrzpdrjv1bke133g7I8/1//nXO/tm++/UExn+3zvcef2fD8nZ/s5c2M42/PefN/Q75k3P384+zqXNz/2Yr6Pzvec8AUeM3T/Z/t5fbNzHTciQB9vNfT7bbjcWC903Bvpccs10uPphWJ48/97JHGd7/1/y77O8j040seP5DU697/lrobe8pHFkAAJTZIlwwMPPHDGyVYoFGLSpEkGI8ouhae3A7DTnkKosZt3Fmtwv5zp0MlOdsemUettYmL3HuBPTIckqSYaYXK/80vypa5JXGM4HElNL3ZN4lpgSv/Z/8gmyZeMP4Ym+zyv9s4fsuX1PxLuOI3l8eIJ5BLr78abW0Kkoxk8PoIlVcQifdixKL7cAiI9nUR7O7C8fqI97XhyivAGC4j2dWL3d4Nl4QkW4MvJJ9LTgeUPEu1scXbo8UIsgq+wjEjHKedxuQX0tzcBFt6cQmLhHjzBfCyPHzvajx3uxfLnEO0J4S+uBCDa20Gsv9upVLOjYHnJmTAZLItwdxux3k7sWBRiUYITJuPx+Ij0dRJub8SbX0ogv5SeU0fxF47Hl1OIbccId5wiFo0ANp5ALsRi2NEwlseH5fUR6W539mXbgE2gpApvsIC+9ia8wTy8gRz625qwfEF8+SX0tdRjWRae3EJivZ14/DlEe9oJlFQR6ekgFu6FWARvbgmxaD+xnnbAwvIFsLwBguOqiYV7CHeHsCyLQNEEAPrbmohF+rC8Abw5BUS627Ajfc77WlKN159LuOMkdjRMoKQaOxom2hMiFo3gyys+42voyx+HL1iA5fUSi/QR7mrHn19MtL+XSFcr3pxCPD4/4c5WvLmF+HLyAQh3tTvvP+AvLAM7Sn/bCbA8WF4/djSML78Uy+Ml0t3mfO1t532N9jrVFpbHR6CkCjvaT6Snk1i4B8vjBY+PQFEZka5Woj3t4PHhzSnEl1dMtLeTqPu1xSZYOpFIT4hYX5fzvna3Y3kDRDpPApazoJJt480pwF8wjnBnK5GuVjw5hdjhHrx5JRCL4s0pxBvIJRbuoz/UhB2NECydSLjz9MD3r1Np4yssI9J5GuxYfNtXMJ5IZwvB8ZOIhXuJ9nYSC/di+YJ4/EEsj59AQQmxSJhw52l8eSWEQ81Ee0N4AvkESyfi8fro72wh0nkKf1EF3mAu/aHTxPo6sAL5gI3d14Ud7cebPx7bjkEsih0Ngx3DX1yJ5fHR39aA5fUT6+sCOwYeL5YvB+wo3vxx2OF+LH8Ay/IQ7emAgeotO9KPHYvizS0mWFxBf8dJ5+tkeSAWwZNTBNEwth3DjsXw+IMEisoJ97QT7Q4RLKki3HESb14x0e525+coFgbLg6+gDF9OLuGuduf9KpyAHenHl1tI3+k6vHklzvdqcSXYNn2tx7GjESyvH29uEb7cIsJdrc7/aSBe5//mi/8s2tEIli+AL68Ej88f/1705o8j1tOBbdsES2uI9HYQ7Q7h8foIlFTQHzo1+LqWB1/BeKI9IbBt7Gi/8/MYyCVQMIG+tgawY1j+XOc4NxCHbceceABPsCD+fRjtaXceMnBM8RVMwJdXTH/bCTw5BQQLxhPuCWHHokQ6W/AXlcW/hoGSajw+n/OzHu7BmzfOeW6oGaIR5+ersBw70ocdc7JAsXCv8/MDeHIKiPU7xxc8XufY09XivGexN2WNLA/BcRPB46E/1Izd34PlC8S/Bh5/0Pm/WF4srw9PIA+PP0ikq3XwNYa8XwN3OC8dyMOfV0x/ezOeQJ4TWyAHbNuJ1x/E4/Hh8QXpDzXj8TvjR6J9XU6cA1+TSFer8957/c7xoWC8E2ukb/B7AgvLFyQ4rpK+1hPYsSj+wgmE2xvjx1V/QSnRvh68OQV4fD5ikQj9LXXg8eIrGI8vJ59wt3M88fhzB37PDVSq+XOdn8u2E87/NxbFVzAePF6iXS1YviCBkiosC2KRCNHeTvwFJYQ7W53vv6Jy+jtPEwk1gceH5fGA5QU7hidYQDVmJTRJNmHCBLxeL01NTWfc39TURGVl5VmfU1lZOaLHB4NBgkHNrzGmfjMA22PTaK9r450zzWd+JbVsrWtjT2w67/auw9OglenkLE7uwR/rpcPO5X8aC/mK6Xgk5fRHYjx9uobG2L38zcdWoT/HZI9kn+eNr5jI+Bs/lrT9iYiISGpJ6ICgQCDA0qVLefbZZ+P3xWIxnn32WVasWHHW56xYseKMxwOsWbPmnI8XwwaSZFtj09lW12Y2FklJ24+3sy02zfnHwPeLyBkGvi922FOpD/XTHDpbn4xks72NHbRGgrwWXMnEyTNMhyMDkvHHUBEREZFkSvgU7fvuu48f/vCH/PznP2f37t382Z/9GV1dXfEBrx/96EfPmGXx+c9/ntWrV/PQQw+xZ88evvrVr7Jp0ybuueeeRIcqIxUNwwmn3XKbPZ1tx9uxbfsCT5Jss+14G7vsKc5A285GCDWYDklSzUCF4bHc2QBsO95uMhpJQVuPtwGwYGIxlmWd/8GSNPpjqIiIiGSahM8k+8AHPsDJkyf527/9WxobG1m0aBGrV6+Oz6M4duwYHs9grm7lypU8/vjj/M3f/A1f+tKXuOSSS3jqqaeYN29eokOVkWraBdE+7Jxi6sNVhLv6Od7aw6TSPNORSYroi0TZfSJEmBwi42cROLXLqRoqMt1pLilloJKsr3wRtMP24228a07F+Z8jWWX7QKXyokklRuOQt7rvvvu48847WbZsGZdffjkPP/zwW/4YWlNTw4MPPgg4fwy96qqreOihh7jlllt44okn2LRpE48++qjJ/4aIiIgIkKTB/ffcc885K8Gef/75t9z3/ve/n/e///0JjkpGbaD6w6pewuxQsdNWd7xNSTKJ232ig3DUpjQ/gL92GbhJstm3mg5NUkW4B5reAKBw2nLYf4qtat2WN9kWryQrMRqHvJX+GCoiIiKZJO1XtxSD3PlSNUtZWFTiJMnq2viTBaoSEoc7p27hxGKsmiWw5eeaSyZnOrHdWR2toIJLL5kJfzjFtro2bNtWW50A0NkXYX9zJ+AcSyT16I+hIiIikimUJLNtCHeb2bc/z1mKOV3VD6xUWLOEBZ3Ohcu2Os0SkkFnVH/ULHXubNgKsRh4Ej4SUdKBmzStXsLMqiICPg+h3ghHTnczdUK+2dgkJeysb8e2oao4h/KiHNPhiIiIiEgGU5Is3A3fMFT59KUGCKTpRWBfJ5zc42zXLGVRt/P/2FHfTiQaw+dVAkQGK8kWTSqBslLw5UJfCE4fgLJLjcYmKaLBTbYvxe/1MLe6iNePtbGtrk1JMgGcGXUAC9VqKSIiIiIJpkxGGnjssccoKCiIf7z00kumQ4IT28COQVENFFYyrayAgqCPnnCUAyc7TUcnKSDUG+bgyS7AWZEOrw+qFzmfVMuluOJt20uAwUSIW4Uo4lYoL9TQfhERERFJMFWS+fOcii5T+x6Gd7/73Sxfvjz+75qamkRFNHzxFqnFAHg9FvNrill36DTb6tqYVVlkMDhJBTuPOxe2E8flMr4g6NxZsxSOrXO+fxb9fwajk5TQ3QIth5ztgWOJu3rhNg3vlwHb4pVkmkcmIiIiIomlJJllpXzLY2FhIYWFhabDONOQFinXgklOkmxrXTsfuMxQXJIytp6tRWogEaJKMgGg4XXntnQa5JUCg9VCOxtChKMx/GrdzmqnOvs43tqDZcE8JclEREREJMF09SEX500tUgCL3DYpVYAIsD3eIjXkwtZNqjbthEifgagkpbiLf1QPHkemjM+jKMdHfyTG3sYOQ4FJqnDnkU2bkE9Rjt9sMCIiIiKS8ZQkk5HrOgVtx5xttzKIwQqQvU0d9IajBgKTVLLtbJVk46ZAbilE+51EmWS3s1SkWpYVP5ZoLploHpmIiIiIJJOSZDJybvXHhEshZ7BKqKo4h7LCINGYza6GdkPBSSpoDvVyor0XjwXzaoZUklnWYELE/T6S7GTbcHyTsz0kSQZDhverKjXrnTXZLiIiIiKSIEqSycjFh/YvOeNuy7LiFzJb65Qky2bbBob2X1JeSH7wTaMP3RZdzSXLbqF66GoGywuV88/4VLySTMeRrGbbNtuPq5JMRERERJJHSTIZubO0SLnc1cdUAZLd3K//grMN2lYlmcDg179iDgTOXOnXPY7sa+6gsy+S7MgkRRxv7aGlqx+/12J2VYotXiMiIiIiGUlJMhkZ2x4ytP8sSbKBv/Zv1yyhrBZvkTpb9YdbgXhqH/SqUihrnaMiFaC8KIeq4hxsG3bW63skW7nHkdlVRQR9XrPBiIiIiEhWUJJMRqbtKHSfBo8fKue95dNu5dCR0920dfcnOzpJAbZtxyvJFp0tSVZQBiW1gA0NW5MYmaSU81SkwuAMKiXcs5d7HNE8MhERERFJFiXJZGTcFqnKeeALvuXTJXkBpk7IBwbnUkl2OXK6m1BvhIDPw8zKc7RIVWsuWVaLxaD+dWf7XEkyzSXLeu7X/qxt2yIiIiIiCZCVSbJYLGY6hKQa0//veVqkXAs0lyyruZU/c6uL8HvPcYhxEyMNmkuWlU7vh/4O8OVC2ayzPmThJOc4slXHkawUicbYMdBqe9aKVBERERGRBPBd+CGZIxAI4PF4aGhooKysjEAggGVZpsNKGNu26e/v5+TJk3g8HgKBwOhftP78LVLgtMb8dmuD2qSy1NbhtEhpeH92c7/u1YvAe/ZfQ/NrirEsqG/r4WRHH2WFb61clcx14GQnPeEo+QEv08oKTIcjIiIiIlkiq5JkHo+HqVOncuLECRoaGkyHkzR5eXnU1tbi8YyycDAagRNbne3zJckG/uq/ta4d27YzOhEpb7V9oM3WrQQ6q6qFYHkgVA+hE1BUlaToJCUMoyK1MMfP9LICDjR3sv14G9fOrkhScJIKtg+0Ws6fWIzXo98hIiIiIpIcWZUkA6earLa2lkgkQjQaNR1Ownm9Xnw+39gkqk7thXA3BApgwiXnfNjc6iJ8HotTnX00tPdSU5I7+n1LWghHY/HVCBecr5IsWOC02TW/4bRcFt2SnAAlNcRXyD13kgycasQDzZ1sO96uJFmW2equkKuh/SIiIiKSRFmXJAOwLAu/34/f7zcdSnqJV38sBo/3nA/L8XuZWVnIroYQ2+ralCTLInsbO+iLxCjM8TF1fP75H1yzxEmS1W+BWUqSZY1IHzTtdLbPU5EKsGhSMb/eclzzDbOQ266/UPPIRERERCSJsnJwv1yk+Dyy81d/wJCV6TSXLKvEWy0nluC5UItUfC6ZVrjMKk07IdoPuaUwbsp5H+pWI2473oZt24mPTVJCbzjKnhMdgFa2FBEREZHkUpJMhm8Yc4Rci9yLW1WAZBX36z2sC9uhK1xm2YqzWW1osv0CbeCzqgoJeD20dYc51tKdhOAkFbxxIkQkZjOhIKBKZBERERFJKiXJZHjCPU5rHFywRQoGK8l2HG8nGlMFSLbYNpIWqfI54MuB3nZoOZTQuCSFxFe2vHCyPejzMru6CIBtA1WKkvkGk+0lWvhFRERERJJKSTIZnsYdEItAfjkUT7zgw2eUF5AX8NLVH+Xgyc4kBCimdfdH2NfktEgNa9i21w+VC5xttVxmj/jQ/gsn2wEWDVQlqio1e7hfaw3tFxEREZFkU5JMhmfoanTD+Mu+12Mxr8a5uN2qi9ussLM+RMyGiqIglcU5w3vS0JZLyXy9ITi1z9kexmxDGDLfUMeRrBGfbThJ88hEREREJLmUJJPhic8RGl71B8CigYvb7RrenxXiq9GNpPpDw/uzy4mtgA3Fk6CgfFhPcYf372xoJxzV7LpM194T5tCpLmDway8iIiIikixKksnwjGBov2thfHi/ZgllA7dicFjzyFxuNdGJ7RDpH/OYJMWMYIVc17QJ+RQGffSGY/F2XslcOwaqyGpL8yjNDxiORkRERESyjZJkcmE9rdBy0NkewcWtu8Lh7hMhesPRREQmKSTeIjWS6o/SaZBTDNE+aN6VmMAkdVxEst3jsVgw0Ha3XcP7M567+MewVsgVERERERljSpLJhTW87tyOmwp5pcN+2sRxuYzPDxCJ2bxxIpSg4CQVtHT1c6ylG4D5I7m4tawhLZeaS5bxLqJtG4ZWpbaNbTySctyv8aKRVKSKiIiIiIwRJcnkwoYO7R8By7LirXfbdXGb0dzqj2kT8inO9Y/syUqSZYeOJggdByyoXjSip7qzqbQISOYbrCQrMRqHiIiIiGQnJcnkwi6y+gOGVICoTSqjba9zV6MrGfmT3dY7De/PbO4KpmUzIVg4oqe6VUX7mjro7o+McWCSKhrbe2kK9eGxYF5NkelwRERERCQLKUkm52fbQyrJRp4kc2cJqU0qs41qjpBboXhyD/RpMHvGGkWyvbI4h4qiIDEbdtardTtTuceRSysKyQv4zAYjIiIiIllJSTI5v1ADdDaB5YXKBSN+ultJduhUF+094TEOTlKBbdtsH7i4vahKssJKKJoI2HBi21iGJqnkItu2Xe6xxP1ek8zj/jFlRIt/iIiIiIiMISXJ5PzcFqnyORDIG/HTS/MD1JY6z9uhlsuMVN/Ww6nOfnweizlVF9kiVaOWy4xm24PHkhGsbDmUm4DVXLLMFV8hV0P7RURERMQQJcnk/OLVH4sv+iXcC55tqgDJSO6F7ayqQnL83ot7ESXJMlvrYehpBW8AKuZd1EsMzjdsG7u4JGXEYvbo2rZFRERERMaAkmRyfqOYR+ZaOHDBowqQzOR+XUe1Gp1WuMxs7te1cj74Ahf1EvMHjiN1LT2c7uwbq8gkRRw61UVHb4Sgz8PMypEt7CAiIiIiMlaUJJNzi8WgYauzPZokmVtJpiRZRtp6rA0YXIHwolQtAixor4PO5jGISlLKGCTbi3P9TCvLBwarFyVzuMn2+TXF+L06NRERERERM3QmKud2ej/0hcCXC2WzL/pl5lYX4fVYNHf00djeO4YBimmRaIwd9U7CYvFokmQ5RVA209lWNVnmOb7Rua1ZNqqXWaSWy4y1ta4VgMW1JWYDEREREZGspiSZnNvxTc5t9WLw+i76ZfICPi6tcNpn1HKZWfY2ddATjlIY9DG9rGB0L1atuWQZKdIPJ7Y72xNHlyRzZ1WpKjXzuL8bFk0aZzYQEREREclqSpLJubnVHxMvvkXK5c4lUwVIZnEvbBdOKsHjsUb3Yhren5madkC0D3LHQem0Ub3U4CIg7di2PQbBSSro6Y+y+0QHAItUSSYiIiIiBilJJudWP1BJNsoWKdBcskw1JvPIXO68qoYtoARI5jjuziNbBtboEqmzq4rwey1auvo53tozBsFJKtjZ0E40ZlNWGKS6OMd0OCIiIiKSxZQkk7Pr74KmN5ztiZeN+uUWDswS2nG8nVhMCZBM8Xq8Rapk9C9WMQ+8AehphdbDo389SQ3xitTRJ9tz/F5mVxUBqkrNJEOT7dYoE6kiIiIiIqOhJJmcXcNWsKNQWAXFNaN+uUsrCsjxe+joi3DoVNfo4xPjQr1hDp7sBMaoRcoXgMr5zraG92eOMaxIhcGEu6pSM8fWsUy2i4iIiIiMgpJkcnbxC9vRzyMD8Hk9zKvW0O1Msr2uHduGieNymVAQHJsXdb/fNJcsM3S3QMshZ9udOTdKg8P728fk9cQ8N0k2qhVyRURERETGgJJkcnbuypZj0GrpGhy63TZmrynmbK1rBWBx7RiuRqckWWZxv47jZ0Be6Zi8pFtttKO+nUg0NiavKeY0d/RS39aDZcECJclERERExDAlyeTs4kmysWmRgsEk2VZVkmWEhLRIuS15J7ZBpH/sXlfMcOeRjVGrJcC0sgIKgj56wlH2N3eO2euKGe48skvLCykI+swGIyIiIiJZT0kyeatQA3Q0gOWBqkVj9rJuK80bDSF6w9Exe11JPtu2eX0sV7Z0jZ8OOSUQ6YWmnWP3umJGApLtXo/F/Bqn5VIJ9/Q3pot/iIiIiIiMkpJk8lbuhW35XAgWjNnLurOrIjGbXQ2aJ5TOjrf2cLqrH7/XYm510di9sGUNtvi634eSnmx7sN1yDJNkAIsHFopwq5AkfcVXthyLxT9EREREREZJSTJ5K7dFauLYDO13WZYVv7h9XRe3ac2t/phdVUSO3zu2Lx5Pkm0c29eV5Dp9EHrbwJcDFfPG9KXdOXivD8zFk/QUjdlsH5hRqUoyEREREUkFSpLJW7nVH2M4R8ilJFlmcKs/ErIanVt1pCRZenO/flULwesf05d2Eyr7mzsJ9YbH9LUleQ40d9LVHyUv4OXSikLT4YiIiIiIJDZJ1tLSwqpVqygqKqKkpIS77rqLzs5zD1puaWnhs5/9LDNnziQ3N5fa2lo+97nP0d6u1rykiUag4XVnewxXtnQtnjRQAXJMFSDpzF3ZMiEtUu4Kl62HoevU2L++JEf9QLtsApLtZYVBJpXmYtuwvU6/H9KVexyZX1OM12MZjkZEREREJMFJslWrVrFr1y7WrFnDM888w4svvsinPvWpcz6+oaGBhoYGvvWtb7Fz505+9rOfsXr1au66665EhilDndwN4W4IFsGES8f85RdMLMZjQUN7L43tvWP++pJ4/ZEYOxtCACwaSHqOqdwSmDDT2dZcsvSVgKH9Qynhnv7chRfc9lkREREREdMSliTbvXs3q1ev5kc/+hHLly/nyiuv5JFHHuGJJ56goaHhrM+ZN28ev/71r7n11luZPn0611xzDV//+tf53e9+RyQSSVSoMpTbIlW9GDxj/+2RH/Qxs9IZ9L5V84TS0u4TIfojMUry/EwZn5eYnajlMr2FewZXJ01UkmyginGLkmRpKyEr5IqIiIiIjELCkmTr1q2jpKSEZcsGL5Cuu+46PB4P69evH/brtLe3U1RUhM/nO+vn+/r6CIVCZ3zIKBx3V6Mb+1ZLl+aSpTe3+mPhxBIsK0EtUkqSpbcT2yAWgfxyKJ6UkF0MDu9vw7bthOxDEqerL8K+pg5g8HeCiIiIiIhpCUuSNTY2Ul5efsZ9Pp+P0tJSGhsbh/Uap06d4mtf+9p5WzQffPBBiouL4x+TJiXmgixr1Ce2RQoGh70rSZaeBlukShK3EzdJW78FYtHE7UcSY2irZYISqXOqigj4PLR1hzlyujsh+5DE2X68nZgNVcU5VBTlmA5HRERERAS4iCTZ/fffj2VZ5/3Ys2fPqAMLhULccsstzJkzh69+9avnfNwDDzxAe3t7/KOurm7U+85ave1wcq+znYBh2y63AmR7fRvhaCxh+5HEcJNkCW2RKpsN/nzo74BT+xK3H0mMJCTbAz4P86qd1m3NJUs/STmOiIiIiIiM0Nl7GM/ji1/8Ih/72MfO+5hp06ZRWVlJc3PzGfdHIhFaWlqorKw87/M7Ojq48cYbKSws5Mknn8Tv95/zscFgkGAwOOz45TzqtwA2lNRCQVnCdjNtQj6FOT46eiPsbexgXk1xwvYlY6u1q5/Dp7qABF/cen1QswSOvOS0XJbPTty+ZOy5bdsJTLaDk3DfcqyN14+18d4lExO6Lxlb8RVylSQTERERkRQy4iRZWVkZZWUXTqCsWLGCtrY2Nm/ezNKlSwFYu3YtsViM5cuXn/N5oVCIG264gWAwyNNPP01OjtowkiZe/ZG4eWQAHo/FokklvLT/FK8fa1WSLI1sPd4GwNQJ+ZTkBRK7s4nLBpNkSz6a2H3J2OlogvZjgOUsAJJA8fmGWgQk7aiSTERERERSUcJmks2ePZsbb7yRu+++mw0bNvDKK69wzz338MEPfpDq6moA6uvrmTVrFhs2bACcBNn1119PV1cXP/7xjwmFQjQ2NtLY2Eg0qrlECefOEUpw9QcMGbqtuWRpZWsyV6Nzk7Xu96WkBzfZXjYLcooSuqslA8eR3Sc66OnX74h0caK9h6ZQH16PxfyJ+iOJiIiIiKSOEVeSjcRjjz3GPffcw7XXXovH4+H222/nO9/5Tvzz4XCYvXv30t3tDF3esmVLfOXLGTNmnPFahw8fZsqUKYkMN7vZ9pnDthPMrQBxqwkkPSRlaL/LTdY274beUMITLjJGkngccYa+B2kK9bGjvp3Lp5YmfJ8yem6yfWZFIXmBhJ6GiIiIiIiMSELPTktLS3n88cfP+fkpU6Zg23b831dfffUZ/5YkajsK3afA44fKBQnf3aKJJQAcOtVFa1c/4/IT3Lono2bbNtsG2i2TUklWWOHMx2s7Bg1bYNrVid+njF4Shva7LMti8aRxrN7VyOvHWpUkSxPxVstkJNtFREREREYgYe2Wkmbc6o/K+eBP/By4cfkBpk3IBwbnXElqO3K6m7buMAGfh1mVSarqirdcbkzO/mR0YtGBBUBISts2DJlLptbttPF6Mtu2RURERERGQEkycSSxRcq1SBe3aeX1Y85w9HnVRQR8STp0aC5Zejm5F/o7wZ+ftBVJ3fmGW461qhI5DYSjsXhFqjtTTkREREQkVShJJo4krWw51ODwfq1Mlw42H3W+TksnJ/HCdmiSTAmQ1HfcWYSFmiXg8SZll/NrivF6LJo7+jjR3puUfcrFe6MhRF8kRnGuP15NLCIiIiKSKpQkEwj3woltznYSK8kWD7TabK1rIxZTAiTVbRmo+Etq9UflfPAGnHl5rUeSt1+5OHUDbbGTLk/aLnMDXmZXFQKqSk0HWwb+KLKktgSPxzIcjYiIiIjImZQkEydBFu2H/DIYNzVpu51VWUiO30NHb4RDpzqTtl8Zuc6+CHsbQwAsSWYlmS8IVQudbbVcpr46Z3ViJiYvSQaweJKqUtOFkWS7iIiIiMgwKUkmZ17YWsn7y77P62HBwCqXW1QBktK21bURs6GmJJeKosQv7HAGdwC8hventu4WOL3f2U5i2zYMGd4/sGqipK4tA23bSU22i4iIiIgMk5JkMjhHKIktUi6tTJcejMwjc01UkiwtuF+f8TMgf3xSd+3ON9xR305/JJbUfcvwNYV6qW/rwWPBQq1sKSIiIiIpSEmybGfbUOcmyZYnffdqk0oPQ+cIJZ1bldS4HcI9yd+/DI/B48iU8XmU5Pnpj8TYfSKU9P3L8LhVZDMriygI+gxHIyIiIiLyVkqSZbu2o9DZBB4fVC9K+u7dSrJ9TR109kWSvn+5sFjMNtsiVVIL+eUQi8CJ7cnfvwxPvG07ua2WAJZlxRcCUcI9dbkVqUaS7SIiIiIiw6AkWbZzV6OrWgj+3KTvvqIoh5qSXGI2bD/elvT9y4UdOtVJqDdCjt/D7Kqi5AdgWYOJF7c1WFJLNAL1W5xtA5VkMNhyqblkqcutSDXSti0iIiIiMgxKkmU7t/rD0IUtwCLNJUtpbvXHgokl+L2GDhmaS5bamndBuAuCRVA2y0gImm+Y2voiUXbWD6yQq5UtRURERCRFKUmW7dzKHAMtUi73gslNxkhq2XK0DTBc/VH7Nuf22Hpnjp6kFnce2cRl4DHza2XhpBIsC461dHOyo89IDHJuO+tD9EdjlOYHmDw+z3Q4IiIiIiJnpSRZNuvrhMadzrbBSrJlA8mXLcdaicWUAEk1g0P7DSbJqheDxw+djc4cPUktBof2u4py/FxaXggo4Z6KXh9yHLEsy3A0IiIiIiJnpyRZNmvYAnYUimqguMZYGHOqi8jxe2jrDnPoVKexOOSt2rvD7G92viZGh237c525eTCYkJHUYXBo/1BLpwwm3CW1xIf2Ty4xG4iIiIiIyHkoSZbN4tUflxsNw+/1sHBiCQCbjujiNpW8Xud8PaaMz2N8QdBsMG6V0rHXzMYhZ+poGqjuswZnxxniVqVuOtJiNA45k23bg0P7NY9MRERERFKYkmTZLAVapFzLBipANqlNKqVsiVd/pMCFbe3A96lbtSSpwZ1rWD4bcoqNhuLOzdtZH6I3HDUaiwxqaO+lKdSHz2OxYOAPIiIiIiIiqUhJsmxl20OG9putJIPBi9stSpKllC0DKwWmxGp0bjK3aRf0hszGIoNSpCIVoLY0jwkFQfqjMXbUt5sORwa4rZazq4rIDXgNRyMiIiIicm5KkmWr0wegpxV8OVA533Q08STMoVNdnO7UynSpIBqzzxi2bVxhJZRMBmw4vtF0NOKqS51ku2VZQ1oulXBPFe4fP4yukCsiIiIiMgxKkmUrt2Wtegn4AmZjAUryAlxSXgBoZbpUsa+pg67+KPkBLzMrC02H46h9m3Or4f2pIdIPDa872ynQtg2Drdubj2ouWapwk+2LTS7+ISIiIiIyDEqSZSs3STbJ7Gp0Q7lVBpu1Ml1KcJOVi2pL8Hosw9EMcFv66jS8PyU0bodoH+SWwvjppqMBhhxHjrZi27bhaKQ3HGVXg9MenRIVqSIiIiIi56EkWbaqG2hXS5HqDxhycas2qZSQkqvRTRqoJDu+CaIRs7HImfPIrNRIpM6tLibo89DaHebQqS7T4WS97cfbicRsyguDTByXazocEREREZHzUpIsG/W0wcndznYKzBFyLZtSCsD2+nb6IlqZzjR3jtDiVJojVD4bgkXQ3wnNb5iORtyK1ImpU5Ea8HlYOLCCohLu5m0ZMtfQSpFEqoiIiIjIuShJlo3qNzm346ZCQZnZWIaYMj6P8fkB+iMxdmplOqNOd/Zx5HQ3AEsmpVCSzOOFicucbTdBI+YcT72KVIClA3PJNmkumXGbjjhfAw3tz0wtLS2sWrWKoqIiSkpKuOuuu+js7Dzv4z/72c8yc+ZMcnNzqa2t5XOf+xzt7fqdLyIiIqlBSbJsFG+RSq0LW8uyWDJknpCYs2ng/b+0ooDiPL/haN7Ebbk8prlkRrXVQageLC/ULDEdzRniK1zqOGJULGbHvwaXTS01HI0kwqpVq9i1axdr1qzhmWee4cUXX+RTn/rUOR/f0NBAQ0MD3/rWt9i5cyc/+9nPWL16NXfddVcSoxYRERE5N5/pAMQAN7mQQkP7Xcsmj2PNG01sOtLKp95hOprstfGwU/3htsCmlPjwfq1waZR7HKlaAIF8s7G8iVu1dOhkFy1d/ZTmm1/BNxsdPNlJW3eYHL+HudVFpsORMbZ7925Wr17Nxo0bWbbMqfB95JFHuPnmm/nWt75FdXX1W54zb948fv3rX8f/PX36dL7+9a/z4Q9/mEgkgs+n01IRERExS5Vk2SYaHmyRql1pNpaz0Mp0qWGjW/0xJQVbpCYuA8sD7ccg1GA6mux17FXnNgWPIyV5AWaUFwCDs/Uk+TYOzIRbPGkcfq9ONzLNunXrKCkpiSfIAK677jo8Hg/r1w+/Hb69vZ2ioqJzJsj6+voIhUJnfIiIiIgkis5as82J7RDuhpwSKJtlOpq3mFdTTMDr4XRXf3wmliRXd3+EXQMz4S5LxUqyYCFUzHW2NZfMHLeSrPZtZuM4B3dVVrVcmrNxYB5ZSibbZdQaGxspLy8/4z6fz0dpaSmNjY3Deo1Tp07xta997bwtmg8++CDFxcXxj0mTJo0qbhEREZHzUZIs2xxb59zWvg08qfflz/F7mT+xGNBcMlO2HmsjErOpKs6hpiTXdDhnF59LpiSZEd0tg6uL1q4wG8s5uMP7N2t4vzHxJJnmkaWV+++/H8uyzvuxZ8+eUe8nFApxyy23MGfOHL761a+e83EPPPAA7e3t8Y+6urpR71tERETkXDT8IdvEk2SpeWELTsvl5qOtbD7awvuWTjQdTtZxW6Qum1KKZVmGozmHScth4w+hTsP7jXDnwY2fkVIr5A7lDu/fdrydvkiUoM9rOKLscqK9h+OtPXgsWFyrSrJ08sUvfpGPfexj533MtGnTqKyspLm5+Yz7I5EILS0tVFZWnvf5HR0d3HjjjRQWFvLkk0/i9597gZhgMEgwGBx2/CIiIiKjoSRZNrHttEmSAWw6okoyEzYdTYMWqdqBlVlPbIf+rpQbHJ/x0uA4MnVCPuPzA5zu6mdnfSh+XJHkcI/fc6qLKAjqVCOdlJWVUVZ24eT3ihUraGtrY/PmzSxduhSAtWvXEovFWL783Ktnh0IhbrjhBoLBIE8//TQ5OTljFruIiIjIaKVev50kzqn90H0afDlQvdh0NOfkXszub+6kvTtsOJrsEonG4oPOU3JlS1fxJCisBjsK9VtMR5N90iBJZlkWSyar5dKUTQOtlssmp/BxREZl9uzZ3Hjjjdx9991s2LCBV155hXvuuYcPfvCD8ZUt6+vrmTVrFhs2ONWnoVCI66+/nq6uLn784x8TCoVobGyksbGRaDRq8r8jIiIiAihJll3cC9uaZeALmI3lPCYUBJkyPg+Azcd0cZtMu0900NUfpTDHx8yKQtPhnJtlDVaTHVPLZVKFewYTk5NTN0kGZ66WK8m1YaCS7HLNI8tojz32GLNmzeLaa6/l5ptv5sorr+TRRx+Nfz4cDrN37166u52FeLZs2cL69evZsWMHM2bMoKqqKv6hWWMiIiKSCtQDkU2GDu1PcZdNKeXI6W42HG7lmlkVpsPJGhvj1R/j8HhSdB6Za/IVsOtJOPoK8Bemo8ke9VsgFoaCChg31XQ057VsSOu2bdupO2Mvw4R6w+xpDAGDXwPJTKWlpTz++OPn/PyUKVOwbTv+76uvvvqMf4uIiIikGlWSZZOjrzq3KV79AYPVBxsOnzYcSXaJJ8lSudXS5bb61W2AqNpyk2Zoq2WKJ53mTywm6PNwuqufgye7TIeTNbYcbcW2YfL4PMqLNG9KRERERNKHkmTZItQAbUfB8sDEy01Hc0HLp44HYPvxdnr6NackGWzbjq9smRYtUuVzIKcYwl3OAH9JjjSYR+YK+rwsri0BYMNhtW4nizu0X/PIRERERCTdKEmWLdwL24p5kFNkNpZhmFSaS2VRDpGYzevHNE8oGY6e7uZUZx8Br4f5NcWmw7kwjwdqVzrbR18xG0u2iEWdyj1Ii4pUgMsHEu6qSk0etyL18qlqtRQRERGR9KIkWbZwh5tPXmk2jmGyLCtezbReFSBJsWHgwnbBxGJy/F7D0QyT+/3sthJLYjXtgr4QBAqdhHsaWD7kOKJZSInXF4myta4NSJO2bRERERGRIZQkyxZH02dov2twLpmSZMmwaSBJdlk6tFq6Jl/h3B5bB7GY2ViygZtsn3Q5eNIjkbq4tgSfx+JEey/HW3tMh5PxdtaH6IvEKM0PMG1CvulwRERERERGREmybNDTBk07ne3a9Kgkg8EKkC3HWumPKAGSaO4cocumpFGLVNUC8OdDbxuc3G06msx3bKBiLw3mkbnyAj7mT3Tah1WVmnibhqyQq9VERURERCTdKEmWDY5vBGwonQaFFaajGbYZ5QWU5gfoi8TYUd9mOpyMdrKjj0OnurAsWFqbRpVkXr9T1QRquUw02x7Stp0+STIYXAhEc8kSL60W/xAREREReRMlybLB0fSr/gBnLplb1aQKkMTafNR5f2dWFFKc5zcczQi5LZca3p9YbUeh4wR4/FCz1HQ0I7JcrdtJEYvZbBo4liydnEYVqSIiIiIiA5QkywZu9UeaJclg6Mp0urhNJDcJuSydWi1dQ4f3azB74rhzDasXgT/XaCgjtXTKOCwLjpzupinUazqcjLW3qYO27jD5AS/z0mGFXBERERGRN1GSLNOFe6F+s7OdhkkytwJk05FWojElQBLltUNOkmzFtAmGI7kINUvBG4DOJmg5ZDqazHXkZefWrdxLI0U5fuZUFQFKuCfSa4ecdtalU0rxe3V6ISIiIiLpR2exme74Roj2QUEljJ9uOpoRm11VREHQR2dfhN0nQqbDyUht3f3saXTe2+XT0nCOkD9nsP1PLZeJc+Ql53bK283GcZG0Wm7iuUmyt6XjcUREREREBCXJMp9b/THlSkjDlca8HiveAqi5ZImx/nALtu0slDChIGg6nIsztOVSxl7bMWcmmeWF2uWmo7koblXqeg3vT4hYzI4nIN82bbzhaERERERELo6SZJluaJIsTQ1WgOjiNhEyovojniRTJVlCHBl4X6sXQ7DQbCwX6bIpzvf3vqZOWrr6DUeTefY1d9DaHSYv4GW+5pGJiIiISJpSkiyThXuddktI2xYpOHNlOluD2cfc+kMZUP0xaTlYHqfiqf246WgyTwYk28cXBJlRXgDAxiOqSh1rrx0cmEc2eZzmkYmIiIhI2tKZbCZz55EVVqXlPDLX/JoSgj4Prd1hDjR3mg4no7R197PbnUc2NY2TZMFCqFrobLurMMrYOeomydI32Q5nJtxlbK1Xq6WIiIiIZICEJslaWlpYtWoVRUVFlJSUcNddd9HZObwkh23b3HTTTViWxVNPPZXIMDNXms8jcwV8HpbUai5ZImwYMo+srDBN55G53FUX3YSOjI22Omg9ktbzyFwa3p8YsZg9JEmWxm3bIiIiIpL1EpokW7VqFbt27WLNmjU888wzvPjii3zqU58a1nMffvhhrDRO7KSE+Gp06dsi5bo8PnRbF7dj6bWBVku3wiatuUmyI0qSjamj6T+PzOUeR3Y1tNPRGzYcTebY3+zMecv1e5lfU2I6HBERERGRi5awJNnu3btZvXo1P/rRj1i+fDlXXnkljzzyCE888QQNDQ3nfe7WrVt56KGH+MlPfpKo8DJfuCcj5pG5Vkx3WnjWHTytuWRjaHBofwa0SE1e6cwlO30AQuc/xsgIZFCyvao4l9rSPGK25pKNJXfF0KWTxxHwaYqDiIiIiKSvhJ3Nrlu3jpKSEpYtWxa/77rrrsPj8bB+/fpzPq+7u5sPfehDfPe736WysvKC++nr6yMUCp3xIQzMI+t35pGVTjMdzagtrnXmkp3q7NNcsjHS3h0enEeWCS1SuSWDc8kOv2Q0lIxyJDPmkblWDkm4y9jIiBVyRURERERIYJKssbGR8vLyM+7z+XyUlpbS2Nh4zufde++9rFy5kve85z3D2s+DDz5IcXFx/GPSpEmjijtjZMg8MlfQ5+WyKc4F2Ku6uB0TG44488iml+VTXphjOpyxMfUdzu3hF83GkSkyaB6Zy61K1XFkbNi2HV8hd3kmVKSKiIiISFYbcZLs/vvvx7Ks837s2bPnooJ5+umnWbt2LQ8//PCwn/PAAw/Q3t4e/6irq7uofWecDKv+gKEXt6cMR5IZMqrV0hVPkr0AassdvQyaR+ZyjyNvnAjR2tVvOJr0d6C5k9Nd/eT4PSyYWGw6HBERERGRUfGN9Alf/OIX+djHPnbex0ybNo3Kykqam5vPuD8SidDS0nLONsq1a9dy8OBBSkpKzrj/9ttv5+1vfzvPP//8W54TDAYJBtN8Vb6xdsY8svSfI+Ry26ReO9RCNGbj9aR/hZxJGZkkq10BHh+0D1RAlU41HVF6y6B5ZK7ywhwuKS9gf3Mnrx06zU3zq0yHlNbc48iS2nEEfV7D0YiIiIiIjM6Ik2RlZWWUlZVd8HErVqygra2NzZs3s3TpUsBJgsViMZYvP3vbzv33388nP/nJM+6bP38+3/72t7n11ltHGmr2is8jq86IeWSu+TXFFAR9tPeE2X0ixLwaVS1crPbuMG+cyKB5ZK5APtQsg7rXnASPkmSjk4EVqeAk3Pc3d/LqQSXJRstdITejku0iIiIikrUSNpNs9uzZ3Hjjjdx9991s2LCBV155hXvuuYcPfvCDVFdXA1BfX8+sWbPYsGEDAJWVlcybN++MD4Da2lqmTtXF7rBl2Dwyl8/rYflUdy6ZWi5HY/3h09g2TJuQQfPIXJpLNjbaj2fcPDLXiukTAB1HRisWs+PvodvGKiIiIiKSzhK6Vvtjjz3GrFmzuPbaa7n55pu58sorefTRR+OfD4fD7N27l+7u7kSGkX0OZ16LlEtDt8eG+/5dMWOC4UgSYGiSTHPJLt6hF5zbDJpH5loxbTyWBQdPdtEU6jUdTtra3RiitTtMfsDLokklpsMRERERERm1EbdbjkRpaSmPP/74OT8/ZcoU7AtcxF7o8/ImfZ2D88imZlaLFMDKgQqQjYdbCEdj+L0JzfNmrJcPONUfV8zIwOqPiZeBLwc6m+DUPiibaTqi9HR4IEk27WqjYSRCcZ6fedXF7KhvZ93B09y2uMZ0SGnplYHjyOVTS3UsFhEREZGMoLPaTHP0VYiFoWRyRs0jc82qLGRcnp+u/ijbj7ebDictNbb3cqC5E8uCFdMysJLMnwOTBtoD1XJ5cWwbDj3vbGdgkgwGFwJRy+XFe+VABlekioiIiEhWUpIs02T4ha3HY8VbLtfp4vaiuEmBBTXFFOf5DUeTIJpLNjon9ziVeL5cmHS56WgSQq3bo9MfibHhsDO0X0kyEREREckUSpJlmgxPksHQodu6uL0Ybqvlyky+sHWTZEdegljMbCzpyD2OTF4BvqDRUBLlsiml+DwWx1t7qGvRXMyRev1YKz3hKBMKAsysyKyZdSIiIiKSvZQkyyQdTdC8C7Bg6lWmo0kYt01q09FWesNRw9GkF9u243OErszkJFn1YggUQE8rNO00HU36yYJke37Qx+LaEmBwtpYMn/uerZg+AY8nc1ZRFhEREZHspiRZJnFby6oWQH4GDmQfMG1CPhVFQfojMbYcazUdTlo5eLKTplAfQZ+HpZPHmQ4ncbx+mLzS2VbL5chEw3DkZWc7g5NkoKrU0Xhl4D27MhMX/xARERGRrKUkWSbJguoPAMuy4qtcqgJkZNxB28umjCPH7zUcTYK51ZSHnjMbR7qp3wz9nZBbChXzTUeTUCuHzCXTSsrD19EbZmtdGzC44rCIiIiISCZQkixT2PZgMiDDk2QwOCj65f1Kko2EO48sKwZtT7/GuT3yCoR7zcaSTuLJ9qvAk9m/IhbXlpDj93Cqs4+9TR2mw0kbGw63EI3ZTB6fx6TSPNPhiIiIiIiMmcy+Asompw9AqB68QahdYTqahHvHJU6SZ3t9Oy1d/YajSQ+RaIzX4i1SWZAkK58NhVUQ6YG610xHkz6ypCIVIOjzsnyqU0320j4l3IcrvviHqshEREREJMMoSZYp3Avb2uXgzzUaSjKUF+Uwq7IQ2x68YJPz217fTkdfhKIcH3Ori02Hk3iWNVhNdnCt2VjSRV8HHN/obGfw4h9DvePSMgBe3H/ScCTp49UDWZRsFxEREZGsoiRZpsii6g+Xe3H70j5d3A7Hq0OqP7zZshqdmyQ7oCTZsBx9FWIRKJkMpVNNR5MUV13qJHrWH26hp1+r5V5Ic6g33pq6YrqG9ouIiIhIZlGSLBNEI3D4JWd72jvNxpJEbx9ouXxx/0kN3R6GFwfmt11xSRZVf7hJ46Yd0NFkNJS0kIXJ9ullBVQX59AfibH+sFa5vBD3OLJgYjGl+QHD0YiIiIiIjC0lyTJBwxboa4ecEqhaaDqapLlsSilBn4emUB/7mztNh5PSQr1hNh9tBeCqS8oMR5NE+RMGfybcBJCc24E/OrfTsyfZblkWbx/4mXhJC4Fc0AsDlbtXXZpFxxERERERyRpKkmWC/Wuc2+nvBI/XbCxJlOP3snya0+7zolouz+vVA6eIxmymTcindnyWrUY3/Vrn9uCzZuNIda1H4dQ+sLxZVZEKQ+aS6ThyXtGYzUv7lSQTERERkcylJFkmODCQJJvxLrNxGPCOeMulKkDOx63+eEc2XtjGh/c/B7GY2VhSmVtFNulyyC0xGkqyXTljAh4L9jd30tDWYzqclLX9eBtt3WEKc3wsmlRiOhwRERERkTGnJFm66zwJDa872zOuNRuLAW7SZ/2h0/SGNXT7bGzb5oW9TpLs6plZmCSbdDn486GrGZp3mY4mdblJsiw8jhTn+Vk4kPR5SatcnpObbH/7JRPweXX6ICIiIiKZR2e56e7gwKp9lfOhsNJsLAZcUl5AZVEOfZEYG4+0mA4nJe1v7qShvZegz8PbpmXhanS+IEy50tk+qFUuzyrSD4decLazsCIViM8lU1XquWkemYiIiIhkOiXJ0l0Wt1qCO3R7oOVS84TOyq0iWz5tPDn+7JlZdwa3OuqA5pKd1bF1EO6C/DKoXGA6GiOuutQ5jry835nfJ2dq7epnW10bkKVt2yIiIiKSFZQkS2ex6OBF/yXZmSQDeHt86LYqQM7Grf64OpsvbN25ZMfWQZ9WQn2LeKvldeDJzl8LCyeWUJjjo70nzPbjbabDSTkvHzhFzIaZFYVUFeeaDkdEREREJCGy82ooUzS8Dj0tECyGiZebjsaYtw8M3d7b1EG9hm6foasvwobDThvqVdk4j8w1fgaMmwrRfjj0vOloUs/QJFmW8nk9XDnDqSZ7fq+qUt8s3mqZzccREREREcl4SpKlM/fCdvrV4PUZDcWkcfkBlk4eB8DaPc2Go0ktrx06TX80xsRxuUybkG86HHMsCy69wdnet9psLKmmvR6a3wCswYq7LPXOWeUAPLdXx5GhbNvWPDIRERERyQpKkqWz/e48suyt/nC5F7drdzcZjiS1DL2wtSzLcDSGuUmy/WsgFjMbSypxk+01SyGv1Gwshr1zpnMc2X68neZQr+FoUsfuEx2c7Ogj1+9l2ZRxpsMREREREUkYJcnSVddpqN/sbCtJxrWzKgB49eBpevqjhqNJDUOrP64euPjPapOvAH8+dDZC4zbT0aQON0mWxXMNXWWFQRZOKgFUTTaU+16smD6eoC9LF/8QERERkaygJFm6OrgWsKFiHhRVm47GuEsrCqgpyaUvEuPVgxrgD3DwZBdHT3fj91qsmD7edDjm+YIw/Z3O9r7/MRtLqoiGB2e0KdkOwLUDVanP7laSzPXsQIXuNbOUbBcRERGRzKYkWbra/wfnVhe2AFiWxbWzBy5uNZcMgD8OXNiumD6BgmD2zqw7g+aSnenoK9AXgvwyqF5sOpqU4CaCXj5wit6wqlJPdfbxel0bQPwYKyIiIiKSqZQkS0fRMOwfqISZebPZWFLI4FyyZmzbNhyNeW71x3W6sB10yfXObcMW6FQylb2/d24vvQE8aqMDmFtdREVRkO7+KOsHVobNZmv3NGPbMK+miKriXNPhiIiIiIgklJJk6ejYOuhth7wJMHGZ6WhSxopp48n1e2kM9fLGiZDpcIxq6epn89FWAK6dXWE4mhRSWAlVi5zt/VnecmnbsPe/nW0l2+Msy+KagRmHWghkMNnuzn0UEREREclkSpKlo3j1x42q/hgix+/lihkTAHguy1sun9vTTMyG2VVF1JSo+uMMl97o3O77g9k4TGveDW3HwJcD0642HU1Kic8l25PdVam94Sgv7XdmPF6nZLuIiIiIZAElydKNbcOe/3K2Z95kNpYUdM0szSWDwXlk71Kr5VtdOtByefA5iPSbjcUkt4ps2tUQyDcaSqq5YsYEgj4Px1t72N/caTocY147dJru/igVRUHm1RSZDkdEREREJOGUJEs3zbuh7ahT/eGu1CdxbpJsa10bpzr7DEdjRl8kyov7TgJw3RxVf7xF1WLIL4f+Djj6sulozHErUpVsf4vcgJeVAyvCZvMql26y/drZFViWZTgaEREREZHEU5Is3aj647wqi3OYV1OEbTsD/LPRa4da6OqPUl4YZF51selwUo/HAzMHWi7dqsxs09EE9Zucbbf9VM5wzUB74R+zdC6ZbdvxY6gW/xARERGRbKEkWbpR9ccF3TCnEoDVuxoNR2LGH98YrP7weFT9cVaz3+3c7n4GYjGzsZiwb7VzW7PUWcxA3sJNDG051kpzqNdwNMn3xokQDe295Pg9rJw+wXQ4IiIiIiJJoSRZOuloVPXHMNw4z7nof3n/KTp6w4ajSS7btuOr0an64zymvgMChdDZCPWbTUeTfEq2X1BVcS6LJpVg2/CHN7KvmuwPu5z/89svKSPHrwViRERERCQ7KEmWTtwLW1V/nNeM8gKmleXTH43x3N6TpsNJqm3H22lo7yU/MLjSp5yFLwiX3uBs737abCzJ1tcBB9c62zNvNhtLinMT7n/YmX1Vqb/fcQKAm+bpd42IiIiIZA8lydLJG791bmf9idk4UpxlWdw4Nzsvbt0L22tmV6j640JmD/wc7XnGWTU2W+z7A0T7YPwMKJ9jOpqU5h5H1h06TVt39qyEeqC5k/3Nnfi9FtfO1uIfIiIiIpI9lCRLF90tcPhFZ3vOe8zGkgbcCpDn9jbTG44ajiY5bNvmv3eq+mPYZrwLvEFoOQTNb5iOJnncZPuc94BWLDyvKRPymVVZSDRm88csWghk9cBx5IoZEyjO9RuORkREREQkeZQkSxd7ngE7CpXzYfx009GkvPk1xVQX59DdH+Wl/adMh5MUuxpC1LX0kOP3cPXMMtPhpL5gAcy41tne/TuzsSRLfxfsX+Nsu4sXyHm5CXc3cZQN/nuHU4GrZLuIiIiIZBslydLF0OoPuSDLsrh+rntxmx0tl78fuIh/58xy8gI+w9GkCbd1efczZuNIlv1rINIDJZOhaqHpaNKCmyR7cf8pOvsihqNJvGOnu3njRAivx+Jdc5QkExEREZHsoiRZOuhugUPPO9tzbjMZSVpxL27/uLuJcDRmOJrEsm2b3w9Uf9yo6o/hm3kTWF5o2gGnD5qOJvHUajliMysKmTI+j/5IjOf3Zn7LpZtsXz61lNL8gOFoRERERESSS0mydLD39xCLQPlcmHCJ6WjSxmVTSplQEKC9J8wrBzK75XJfUyeHTnUR8Hm4Zla56XDSR14pTH2Hs73rN2ZjSbRwjzO0H5RsHwHLsrhxXhVAPBGdyX4/UHl70/wqw5GIiIiIiCSfkmTp4I2nnFu1Wo6I12Nx08DF7dPbGgxHk1j/PbCq5TsuKaMwR4O2R2T++5zbnRmeJDvwLIS7oGgi1CwxHU1auWUgYfTH3U0Z3XLZ0NbD1ro2LAtumKtVLUVEREQk+yhJlup62uDgc862kmQj9u5F1QD8z66mjF3l0rZt/muHVrW8aLP+BLwBZ4XLpgxe5VKtlhdtXk0RUyfk0xeJseaNzK0m+93AHxMum1xKeWGO4WhERERERJJPSbJUt+e/IBaGCTOhfJbpaNLO0tpxVBfn0NkX4bk9mTlPaFdDiAPNnQR8Ht6l6o+Ryy2BGe9ytnf+2mgoCdPf5RxLAObeZjSUdGRZFu9e6CTcf7s1c6tS3f/bexZXG45ERERERMQMJclS3fb/cG7nv99sHGnK47G4deDiNlNbLp96vR6A62aXU6RWy4sz773O7c5fgW2bjSUR9vy302o5bgpMvMx0NGnJrUp9ef8pWrr6DUcz9vY3dfDGiRB+r8XN8zSPTERERESyk5JkqSzUAIdfdLYXKEl2sdwk2bN7munoDRuOZmxFY3Y8+XfbohrD0aSxmTeBPw9aj0DDFtPRjL14sv0OtVpepOllBcytLiISs+MzADOJW0V21aVljNOqliIiIiKSpZQkS2U7fgXYULvCqQCRizK3uohpZfn0R2KseaPJdDhj6rVDp2nu6KM418/VM7Wq5UUL5DuJMoAdGdZy2XkSDq51thfcYTaWNPeegWqypzOs5dK2bX67zalIfY+S7SIiIiKSxZQkS2Xbf+nc6sJ2VIbOE8q0lku31fLm+VUEfPpxHpV5A6tc7voNxDJokYddvwE7CtWLYcIlpqNJa3+ywDmObDjSQkNbj+Foxs6WY23UtfSQH/By3WzNNRQRERGR7KWr6lTVtAuadoDHD3NuMx1N2nOTZC/tP0VzR6/haMZGbzjK6p3OSnu3LdKg7VGbcS3klEDHCTj8guloxk482f4Bs3FkgOqSXC6fWgpkVsL9t1udZPsNcyvJDXgNRyMiIiIiYo6SZKnKvbC99AbIKzUbSwaYVlbAokklRGN2vPoq3a3d00xHX4Tq4hwum6LvkVHzBWH+QDXZ6/9uNpaxcvog1G8CywNz32s6mozgzv779ebj2BmwyEM4GuO/tjsz1t6tZLuIiIiIZDklyVJRLAY7/tPZVqvlmLlj2SQA/nNTZlzc/maLk+x796IaPB4NYx8Tiz/s3O5+BnpazcYyFtxk+7R3QqHa6MbCnyysIsfvYX9zJ6/XtZkOZ9Se29PM6a5+JhQEuHLGBNPhiIiIiIgYlbAkWUtLC6tWraKoqIiSkhLuuusuOjs7L/i8devWcc0115Cfn09RURHveMc76OnJnNkvw3L4BQjVQ7AYLrnBdDQZY+jF7dY0v7htDvXy3N5mAN63VIO2x0zVIiifC9E+2JnmA/xjUdj6mLO98INmY8kgRTl+bp5XBcB/bqozHM3o/XLg/3D7kon4vPq7mYiIiIhkt4SdEa9atYpdu3axZs0annnmGV588UU+9alPnfc569at48Ybb+T6669nw4YNbNy4kXvuuQePJ8tO3Lf83Lld8H7w55iNJYMU5fi5aeDi9pebjhuOZnR+teU40ZjNssnjmFFeaDqczGFZsHiVs53uLZeHnof2Osgphtm3mo4mo9xxmVOV+rttJ+jujxiO5uI1hXpZu8dJtr9/oNJWRERERCSbJST7tHv3blavXs2PfvQjli9fzpVXXskjjzzCE088QUPDuYcd33vvvXzuc5/j/vvvZ+7cucycOZM77riDYDB4zuf09fURCoXO+EhrXaedVi+AJR81G0sGev+yiQA8s62Bnv70XMHQtm1+udGp/nAv1mUMLfgAeHzQ8Do0vWE6mou35V+d2wUfAH+u2VgyzPKppUwen0dnX4T/3tFoOpyL9qvNx4nZDCTbC0yHIyIiIiJiXEKSZOvWraOkpIRly5bF77vuuuvweDysX7/+rM9pbm5m/fr1lJeXs3LlSioqKrjqqqt4+eWXz7uvBx98kOLi4vjHpElpnjTY9guIhZ22r6qFpqPJOG+bOp5Jpbl09EVYveuE6XAuyvrDLRw53U1B0Mct86tMh5N58ifApTc62267YrrpOgV7/svZVrJ9zFmWxfuXOgn3X6Zpy6Vt2/F20TtURSYiIiIiAiQoSdbY2Eh5efkZ9/l8PkpLS2lsPPtf3Q8dOgTAV7/6Ve6++25Wr17NkiVLuPbaa9m/f/859/XAAw/Q3t4e/6irS88LFgBse7DVcumdZmPJUB6PxfuWOBeE/7ExPb9X3LhvXVhNftBnOJoM5Q7w3/YLiPSZjeVibHvCSbZXL4HK+aajyUi3L52Ix4INh1s4fKrLdDgj5ibb8wNeblmgZLuIiIiICIwwSXb//fdjWdZ5P/bs2XNRgcRiMQA+/elP8/GPf5zFixfz7W9/m5kzZ/KTn/zknM8LBoMUFRWd8ZG2jr0Gp/aBPw/mvc90NBnrfcuci9vXDrVwoLnDdDgj0tbdz3/vcCrgPqBWy8SZ8S4orIbu07DrKdPRjIxtD7ZaqoosYaqKc3nHpWUAPLHhmOFoRu6x9U7Mf7JAyXYREREREdeIkmRf/OIX2b1793k/pk2bRmVlJc3NzWc8NxKJ0NLSQmVl5Vlfu6rK+Uv2nDlzzrh/9uzZHDuWfhcgF2XzT53bee+FnDRO9qW4mpJcrptdAcC/rjtqOJqR+eWmOvoiMeZUFbFwYrHpcDKX1wfLPu5sb/yh2VhG6shLcGov+PNh3u2mo8loH14+GYAnNtal1YzD5lAvvx9Itn9kxWTD0Ug6u9iVzMFp+b3pppuwLIunnnoqsYGKiIiIDNOIkmRlZWXMmjXrvB+BQIAVK1bQ1tbG5s2b489du3YtsViM5cuXn/W1p0yZQnV1NXv37j3j/n379jF5chacxHc0ws7fONvL7jIbSxa4c+UUAH69+TgdvWGzwQxTNGbHk3ofWzkFy7IMR5ThltwJHj8c3wgNW01HM3zrf+DcLvr/lGxPsHfOKmfiuFzae8L8dmu96XCG7fENx4jEbJZOHse8GiXb5eJdzErmrocffli/x0RERCTlJGQm2ezZs7nxxhu5++672bBhA6+88gr33HMPH/zgB6murgagvr6eWbNmsWHDBsAZhPwXf/EXfOc73+FXv/oVBw4c4Mtf/jJ79uzhrruyIGm06SfODKFJy6FmieloMt7K6eOZXpZPV3+U32xJj4vbZ3c3cby1h3F5ft69qNp0OJmvsALmvMfZTpdqstYjgwP7Lx/ehapcPK/H4qMDlVg/X3cU27YNR3Rh/ZFYvNXS/WOByMW42JXMAbZu3cpDDz103nEaIiIiIiYkJEkG8NhjjzFr1iyuvfZabr75Zq688koeffTR+OfD4TB79+6lu7s7ft8XvvAFHnjgAe69914WLlzIs88+y5o1a5g+fXqiwkwNkT4nSQaw/E/NxpIlLMuKXyD+fN2RtLi4/dmrRwD44OW15Pi9ZoPJFpff7dzu+BV0t5iNZTg2/BCwYfo1UDbTdDRZ4Y5lk8jxe9h9IsTGI62mw7mg1bsaOdnRR1lhkBvnnn38gchwXMxK5gDd3d186EMf4rvf/e45R3AM1dfXRygUOuNDREREJFESliQrLS3l8ccfp6Ojg/b2dn7yk59QUFAQ//yUKVOwbZurr776jOfdf//91NXV0dXVxauvvsqVV16ZqBBTx85fQ9dJKKqB2beajiZrvHfJRAqCPg6d7OLF/adMh3Ne+5o6ePXgaTwWfPhtWdB+nComLXdWh4z0DiayU1VfJ2z5N2dbyfakKckL8L8W1wDws1cPG47mwn4+kGxftbyWgC9hpwCSBS5mJXOAe++9l5UrV/Ke97xnWPt58MEHKS4ujn9MmqRFa0RERCRxdIZsmm3Da99zti/7JHj9ZuPJIgVBH3csc062v//8QcPRnN+PXjoEwPVzKqkpyTUcTRaxLFhxj7O9/vsQ7jEbz/ls+wX0tcO4qc7qnJI0blXq6p2NHDnVZTaY89h4pIXNR1sJeD186PJa0+FIikrkSuZPP/00a9eu5eGHHx72cx544AHa29vjH3V1dRe1bxEREZHhUJLMtINroXE7+HJh6cdMR5N1Pvn2qfg8FusOneb1Y6nZKtXQ1hOfm/apq6YZjiYLzbsdiic51Z5bHzcdzdlFw/DKd5ztt/05eHRoT6ZZlUVcPbOMmA0/ePGQ6XDO6XsDfwy4fWkN5UU5hqORVJXIlczXrl3LwYMHKSkpwefz4fP5ALj99tvf0lngCgaDFBUVnfEhIiIikii6kjLtxW85t8s+DnmlZmPJQtUlubxnkdMq9f0XUrOa7IcvHSISs1kxbTxLaseZDif7eP2D1WSvPgKxqNl4zmbHf0L7McgvgyUfMR1NVvrzq2cAzoq5zaFew9G81e4TIdbuacZjwaffkeFzPmVUErmS+f3338/27dvZunVr/APg29/+Nj/96U+T8d8TEREROS8lyUw6+iocexW8AVj5WdPRZK0/HajO+sOuJg40dxiO5kynO/v4xQZnJbo/f6cubI1Z8hHILYXWw/DGb01Hc6ZYFF76J2d7xWfAr3ZcEy6fWsqyyePoj8b48cupN5vM/SPAzfOrmDIh33A0kgkuZiXzyspK5s2bd8YHQG1tLVOnTjX2fxERERFxKUlmkltFtmgVFFWbjSWLXVJRyLvmVADwLyk2m+ynrxyhNxxjfk0xV86YYDqc7BXIh8s/5Wy/9BDEYmbjGWr37+D0fsgphmV3mY4mq7mJ7H9/7Sjt3WHD0Qw6drqb321rAOBPr1KyXcbOxaxkLiIiIpLKlCQzpX4zHHwWLC9c+QXT0WS9z7zTaZV66vV69jelRjVZa1d/fCW6P796OpZlmQ0o2y3/NASLoGkn7PqN6Wgcsdhgsv3yT0OOZvWY9M6Z5cyqLKSrP8oPXkydhPvDz+4jZsPVM8uYV1NsOhzJIBe7kvlQtm1z2223JT5YERERkWFQksyUZ/+Pc7vgDhg3xWgoAosmlfCuORXEbHjof/aZDgeA771wkI6+CLOrirhh7tmHIEsS5ZXCys852899A6IRs/GAk6xr2gGBQlj+p6ajyXqWZfG/r58JwE9eOZwSs8n2NXXw5OvOwh9ffNdMw9GIiIiIiKQ2JclMOLgWDj0PHj9cfb/paGTAX9wwE8uC1bsa2VbXZjSWE+09/Gygiuwvb5iJx6MqspTwtj+FvAnQchC2GV7pMtIPa7/mbF/xecgfbzYeAeDa2eUsnTyO3nCM76zdbzocHvqfvdg23DSvkvkTVUUmIiIiInI+SpIlWywGa77ibF/2SVWRpZBLKwr5X4udlS6/9T97jcby//64n/5IjMunlHL1zDKjscgQwUJ4+33O9vPfhHCPuVi2/Bxaj0B+Obztz8zFIWewLIu/unEWAE9sqOPIqS5jsWw51sofdjXhseC+d11qLA4RERERkXShJFmybf8PaNzutEe943+bjkbe5N7rLsXvtXhp/ynW7mkyEsPO+nb+Y1MdAH9540zNIks1y+6CohoIHYdXHzETQ3cLPP+gs33VX0Kw4PyPl6S6fGop75xZRiRm8/e/32MkhljM5qtP7wLg9iUTuaSi0EgcIiIiIiLpREmyZOppgzVfdrbffh/ka7XCVDOpNI9PXOEsQ//Vp9+gNxxN6v5t2+YrT+/CtuHdC6tZNqU0qfuXYfDnwPUDbY4vPQRtx5Ifw3PfgO7TUDYbln4s+fuXC/qrm2bh9Vis3tXIC/tOJn3/v9p8nO3H2ykM+vjLgco2ERERERE5PyXJkum5b0DXSRh/Cay4x3Q0cg6fvfYSKoqCHGvp5tEXDyV130++Xs/mo63kBbx86ebZSd23jMDc98KUt0OkF/7wpeTu+8R22PRjZ/vmfwCvP7n7l2GZVVnEnSumAPDVp3fRF0lewr29O8w//MGpYPvctZdQVhhM2r5FRERERNKZkmTJUr8FNv7Q2b75H8EXMBuPnFNB0Mdf3zIHgO8+d4CDJzuTst+THX187Zk3APjsNZdQWZyTlP3KRbAsuOmbYHlh9+9g9zPJ2W80Ar/7PNgxJ1E39R3J2a9clHvfdQnlhUEOn+riX547mLT9/p9n3uBUZz/Ty/K5c+WUpO1XRERERCTdKUmWDOEeePLTzoXtvNth+jtNRyQXcOuCKt5+yQT6IjG++MttRKKxhO7Ptm2+/NROWrvDzK4q4q4rpyZ0fzIGKuY6q0oCPPMF6Dqd+H2+8m1o2AI5xXDD1xO/PxmVwhw/f3vrYMJ9+/G2hO/zub3N/HrLcSwL/uF9Cwj49GteRERERGS4dPacDM9+DU7tg4IKuPlbpqORYbAsi2/evoDCHB9b69r4QYLbLp/e1sDqXY34PBbfer8ubNPG1fc7c8G6TsJ/fxFsO3H7atzhrKgJcNM/QlF14vYlY+aW+VXcMr+KSMzmvl9uS+icw9aufh749Q4APnHFVJZO1kxDEREREZGR0JV4ou37A7z2L872u/8Z8nTRki6qS3L5yq1zAfj2mn1sPNKSkP0caO7kS79xLmzvuWYGc6uLE7IfSQBfEG77F6ftcteTg7PCxlpvO/znxyAWhll/AgvuSMx+ZMxZlsXXbptHWWGQA82d/N3v3kjIfmIxm3t/uZXGUC9TJ+Tzv6+fmZD9iIiIiIhkMiXJEun0Qfj13YANl30SLr3edEQyQrcvqeHWhdVEYjZ//tgWmkO9Y/r6XX0R/uzfN9PVH2X51FLueeeMMX19SYKaJXDdV53t398PxzeP7evHYvDkn8HpA1A0EW79f85MNEkbpfkB/vF9C7As+MWGY/xiw9iviPovzx/g+b0nCfo8/MuqJeQGvGO+DxERERGRTKckWaJ0t8ATH4K+dpi0HG540HREchEsy+Lv3zufSysKONnRx6f+bTPd/ZExee1wNMbnfvE6+5s7KS8M8siHFuPz6kcyLa38LMy+1an0+o9V0Hp07F77ua/D3v8CbwA+8K+QP2HsXluS5uqZ5XzxXZcC8JXf7mLD4bGrTP3dtgYeWrMPgK/dNo/ZVUVj9toiIiIiItlEV+SJ0NcBj70PTu6Bwiq441+1mmUayw/6+MFHllGc62drXRuf/rfN9EVGN1coFrP5q19v59k9zQR9Hr734SWUF2o1y7RlWfCef3Hmk3WcgH+7DTqbR/+6r/4zvDQwx/CWh6Bm6ehfU4z586tncOPcSvqjMT7xs41jMsj/lQOnuO+XW7FtuHPFZO5YNmn0gYqIiIiIZCklycZaTxs8dgfUb4bccfDh30BhpemoZJSmTsjnpx+/jLyAl5f2n+LT/7aZrr6LqyiLRGM88Jsd/GZLPV6PxXc/tEQDtjNBThF85EkoqYWWQ/DzW6Gt7uJfb92/wP/8tbN9zZdhyUfHJk4xxuOx+PYHFrF8aimdfRE++pMNbK1ru+jXe25vM3f9fCPhqM0tC6r424EZiiIiIiIicnGUJBtLpw/CT26AY69CsMhJkFXMMR2VjJElteP44UeXEfR5eH7vSe74wTpOtPeM6DXauvv55L9u4j821eGx4FvvX8B1cyoSFLEkXVEVfOQpp4L05B740XVQv2VkrxHph9//FfzhAeffV3we3v7FMQ9VzMgNePnxxy5j0aQS2rrDfOAH63h6W8OIXsO2bf5t3RHu/vkmesMxrp5Zxj/dsRCvR7PqRERERERGQ0mysRCNwMYfwfffPtBiWQ0f/29noLdklCtmTOAXn3obEwoC7GoIcePDL/GbLceJxewLPvfZ3U3c/P9eig/X/sFHlvG/Fk9MQtSSVOOnwyf/COVzobMRfnw9vPCPEB7Gog8ntsFProf133f+fd1X4bq/06D+DFMQ9PHvn1zOtbPK6Ys4swn/8lfbaOvuv+BzT7T38Kf/vpkv/3YXkZjNexZV8+hHlhH0aVC/iIiIiMhoWbZtX/jqPo2EQiGKi4tpb2+nqCjBw4u7TsPu38L6HzjJMYDJV8LtP4Si6sTuW4yqa+nmzx/bwo76dgDmVhfxsZVTuGFeJUU5/vjjOvsivLTvJD979QjrBwZ1T52Qzz9/aDFzq4uNxC5J0tsOv/0M7P6d8+/iSbD80zDvfU7FmSvSD8fWweafwa4nARtySuC2f4FZtxgIXJIlGrP5xz/s5QcvHsS2oTDo4yMrJvO/Ftcwo7wAayA5GovZ7GoI8avNdfxy03F6wlG8HosHbprFXVdOjT9ORi+p5xByUfQ1EhERkYsx3HMIJclG6tn/A4degK5maDs2eH/uOLjqfrj8bvDoL/rZIByN8eiLh/je8wfpHDKfbPL4PIpz/XT0Rqhr6SYyUGXm91p84sqpfPaaSygI+kyFLclk27DjP2HNV6BjSEtdUQ3kl0Gk11kJMzKkbXf+++Fd/0eJ9iyy6UgLf/PUTvY0dsTvK8nzU1OSi21DXWs3Hb2Dx5ilk8fxtffMY061EgRjTQmY1KevkYiIiFwMJckSdfL0yzvhjacG/10xDxZ9yPnIHTf2+5OU19LVz2OvHeWprfUcPNn1ls9PKs3llvnVfHTFZKpLcg1EKMaFe2DbL2Dr486iHnbszM/nTYBZN8Nld0PVAjMxilGxmM3/vNHILzcd56X9JwlHz/zVnBfw8o5LyvjIismsnD5e1WMJogRM6tPXSERERC6GkmSJOnk69hp0nYK88VA2E/K0KqEMOt3Zx/7mTrr6IuQFfNSOz6NGiTEZqq8Dmt6A3jbwBqB4IoyfobljEtcbjnKguZNTnX3YNlSV5DB1Qr7mjiWBEjCpT18jERERuRjDPYdQz9dI1b7NdASSwsYXBBlfEDQdhqSyYCHULjcdhaSwHL+XeTWaWSgiIiIikmxa3VJERERERERERLKekmQiIiIiIiIiIpL1lCQTEREREREREZGspySZiIiIiIiIiIhkPSXJREREREREREQk6ylJJiIiIiIiIiIiWU9JMhERERERERERyXpKkomIiIiIiIiISNZTkkxERERERERERLKekmQiIiIiIiIiIpL1lCQTEREREREREZGspySZiIiIiIiIiIhkPSXJREREREREREQk6ylJJiIiIiIiIiIiWU9JMhERERERERERyXpKkomIiIiIiIiISNZTkkxERERERERERLKez3QAY822bQBCoZDhSERERCSduOcO7rmEpB6d54mIiMjFGO55XsYlyTo6OgCYNGmS4UhEREQkHXV0dFBcXGw6DDkLneeJiIjIaFzoPM+yM+zPpbFYjIaGBgoLC7Esa8xfPxQKMWnSJOrq6igqKhrz15fz0/tvnr4GZun9N0vvv1mJfv9t26ajo4Pq6mo8Hk2kSEU6z8t8+hqYpfffLL3/Zun9NytVzvMyrpLM4/EwceLEhO+nqKhIPzgG6f03T18Ds/T+m6X336xEvv+qIEttOs/LHvoamKX33yy9/2bp/TfL9Hme/kwqIiIiIiIiIiJZT0kyERERERERERHJekqSjVAwGOQrX/kKwWDQdChZSe+/efoamKX33yy9/2bp/ZdE0/eYefoamKX33yy9/2bp/TcrVd7/jBvcLyIiIiIiIiIiMlKqJBMRERERERERkaynJJmIiIiIiIiIiGQ9JclERERERERERCTrKUkmIiIiIiIiIiJZT0kyERERERERERHJekqSjdB3v/tdpkyZQk5ODsuXL2fDhg2mQ8oKDz74IJdddhmFhYWUl5dz2223sXfvXtNhZa2///u/x7IsvvCFL5gOJWvU19fz4Q9/mPHjx5Obm8v8+fPZtGmT6bCyQjQa5ctf/jJTp04lNzeX6dOn87WvfQ0tDp0YL774IrfeeivV1dVYlsVTTz11xudt2+Zv//ZvqaqqIjc3l+uuu479+/ebCVYyjs7zzNB5XmrReV7y6TzPHJ3nJV+qn+spSTYC//Ef/8F9993HV77yFbZs2cLChQu54YYbaG5uNh1axnvhhRf4zGc+w2uvvcaaNWsIh8Ncf/31dHV1mQ4t62zcuJEf/OAHLFiwwHQoWaO1tZUrrrgCv9/P73//e9544w0eeughxo0bZzq0rPDNb36T733ve/zzP/8zu3fv5pvf/Cb/8A//wCOPPGI6tIzU1dXFwoUL+e53v3vWz//DP/wD3/nOd/j+97/P+vXryc/P54YbbqC3tzfJkUqm0XmeOTrPSx06z0s+neeZpfO85Ev5cz1bhu3yyy+3P/OZz8T/HY1G7erqavvBBx80GFV2am5utgH7hRdeMB1KVuno6LAvueQSe82aNfZVV11lf/7znzcdUlb4q7/6K/vKK680HUbWuuWWW+xPfOITZ9z33ve+1161apWhiLIHYD/55JPxf8diMbuystL+x3/8x/h9bW1tdjAYtH/xi18YiFAyic7zUofO88zQeZ4ZOs8zS+d5ZqXiuZ4qyYapv7+fzZs3c91118Xv83g8XHfddaxbt85gZNmpvb0dgNLSUsORZJfPfOYz3HLLLWf8HEjiPf300yxbtoz3v//9lJeXs3jxYn74wx+aDitrrFy5kmeffZZ9+/YBsG3bNl5++WVuuukmw5Fln8OHD9PY2HjGMai4uJjly5frd7GMis7zUovO88zQeZ4ZOs8zS+d5qSUVzvV8SdlLBjh16hTRaJSKiooz7q+oqGDPnj2GospOsViML3zhC1xxxRXMmzfPdDhZ44knnmDLli1s3LjRdChZ59ChQ3zve9/jvvvu40tf+hIbN27kc5/7HIFAgDvvvNN0eBnv/vvvJxQKMWvWLLxeL9FolK9//eusWrXKdGhZp7GxEeCsv4vdz4lcDJ3npQ6d55mh8zxzdJ5nls7zUksqnOspSSZp5zOf+Qw7d+7k5ZdfNh1K1qirq+Pzn/88a9asIScnx3Q4WScWi7Fs2TK+8Y1vALB48WJ27tzJ97//fZ08JcEvf/lLHnvsMR5//HHmzp3L1q1b+cIXvkB1dbXefxGRMabzvOTTeZ5ZOs8zS+d58mZqtxymCRMm4PV6aWpqOuP+pqYmKisrDUWVfe655x6eeeYZnnvuOSZOnGg6nKyxefNmmpubWbJkCT6fD5/PxwsvvMB3vvMdfD4f0WjUdIgZraqqijlz5pxx3+zZszl27JihiLLLX/zFX3D//ffzwQ9+kPnz5/ORj3yEe++9lwcffNB0aFnH/X2r38Uy1nSelxp0nmeGzvPM0nmeWTrPSy2pcK6nJNkwBQIBli5dyrPPPhu/LxaL8eyzz7JixQqDkWUH27a55557ePLJJ1m7di1Tp041HVJWufbaa9mxYwdbt26NfyxbtoxVq1axdetWvF6v6RAz2hVXXMHevXvPuG/fvn1MnjzZUETZpbu7G4/nzF+XXq+XWCxmKKLsNXXqVCorK8/4XRwKhVi/fr1+F8uo6DzPLJ3nmaXzPLN0nmeWzvNSSyqc66ndcgTuu+8+7rzzTpYtW8bll1/Oww8/TFdXFx//+MdNh5bxPvOZz/D444/z29/+lsLCwng/cnFxMbm5uYajy3yFhYVvmQuSn5/P+PHjNS8kCe69915WrlzJN77xDe644w42bNjAo48+yqOPPmo6tKxw66238vWvf53a2lrmzp3L66+/zj/90z/xiU98wnRoGamzs5MDBw7E/3348GG2bt1KaWkptbW1fOELX+D//t//yyWXXMLUqVP58pe/THV1Nbfddpu5oCUj6DzPHJ3nmaXzPLN0nmeWzvOSL+XP9ZKyhmYGeeSRR+za2lo7EAjYl19+uf3aa6+ZDikrAGf9+OlPf2o6tKylpcGT63e/+509b948OxgM2rNmzbIfffRR0yFljVAoZH/+85+3a2tr7ZycHHvatGn2X//1X9t9fX2mQ8tIzz333FmP93feeadt287S4F/+8pftiooKOxgM2tdee629d+9es0FLxtB5nhk6z0s9Os9LLp3nmaPzvORL9XM9y7ZtOznpOBERERERERERkdSkmWQiIiIiIiIiIpL1lCQTEREREREREZGspySZiIiIiIiIiIhkPSXJREREREREREQk6ylJJiIiIiIiIiIiWU9JMhERERERERERyXpKkomIiIiIiIiISNZTkkxERERERERERLKekmQiIiIiIiIiIpL1lCQTEREREREREZGspySZiIiIiIiIiIhkvf8fQum3omMF9h4AAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## First plot the In phase solution\n",
"fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(15,6))\n",
"df_coupled_in_phase.plot(title=\"Real part of amplitudes Re($\\psi$) (Fig 5)\", ax=axes[0]);\n",
"(df_coupled_in_phase.abs()**2).plot(title=\"Probabilities $|\\psi|^2$ (Fig 6)\", ax=axes[1]);\n",
"fig.suptitle('In phase', fontsize=20)\n",
"\n",
"## Secondly plot the Out of phase solution\n",
"fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(15,6))\n",
"df_coupled_out_phase.plot(title=\"Real part of amplitudes Re($\\psi$) (Fig 7)\", ax=axes[0]);\n",
"(df_coupled_out_phase.abs()**2).plot(title=\"Probabilities $|\\psi|^2$ (Fig 8)\", ax=axes[1]);\n",
"fig.suptitle('Out of phase', fontsize=20);\n",
"\n",
"# Use the following to remove the y-offset from out of phase probabilities if you find there is one\n",
"# axes[1].get_yaxis().get_major_formatter().set_useOffset(False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In both cases, the probabilities to find the state in either |+> or |-> is 0.5 (note any offset that can sometimes appear in the y axes of the plots). The amplitudes can also be seen to evolve with the same frequency - just like we saw in the coupled pendulum problem."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What about the energy of our newly found stationary states?\n",
"\n",
"We can use QuTiP to help us out. If we supply a list of operators to `sesolve` in the 4th argument, e.g. `sesolve(H, psi0, times,[sigmax(), sigmay()]` then instead of returning the evolution of the state we get the evolution of the expectation value of the supplied operators.\n",
"\n",
"Since the hamiltonian is an operator, we can supply `H` and then find how the energy of our state changes over time.\n"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"result_in_phase = sesolve(H, in_phase, times, [H])\n",
"result_out_phase = sesolve(H, out_phase, times, [H])"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7,6))\n",
"plt.title(\"Expectation value of energy (Fig 9)\")\n",
"plt.plot(result_in_phase.expect[0], label=\"in phase\")\n",
"plt.plot(result_out_phase.expect[0], label=\"out of phase\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that the energies of our new stationary states are:\n",
"\n",
"$E_0 - A$ for $|+> + \\,\\ |->$ - in phase\n",
"\n",
"$E_0 + A$ for $|+> - \\,\\ |->$ - out of phase\n",
"\n",
"So, there is energetic price to be paid for the states to be out of phase with each other.\n",
"\n",
"Returning to the Rabi oscillations, we can now calculate $\\Omega = \\Delta E =2A$ which gives an oscillation period of $2\\pi/2A \\approx 31$ - this matches very nicely with what we saw in Fig 4."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Although it is fun and insightful to go through the process of solving the Schrödinger equation, there is another way to get at the stationary states and their corresponding energies - we simply need to find the eigenvectors and eigenvalues of the hamiltonian.\n",
"\n",
"QuTip gives us a easy way to do this using `eigenstates()`."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([0.9, 1.1]),\n",
" array([Quantum object: dims=[[2], [1]], shape=(2, 1), type='ket', dtype=Dense\n",
" Qobj data =\n",
" [[-0.70710678]\n",
" [-0.70710678]] ,\n",
" Quantum object: dims=[[2], [1]], shape=(2, 1), type='ket', dtype=Dense\n",
" Qobj data =\n",
" [[-0.70710678]\n",
" [ 0.70710678]] ],\n",
" dtype=object))"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"H.eigenstates()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The first part of the output gives the eigenvalues `[0.9,1.1]` - these are the energies we found above\n",
"\n",
"The second part gives the two normalised eigenvectors `[-0.70710678 -0.70710678]` (in phase) and `[-0.70710678 0.70710678]` (out of phase) that we also discovered earlier.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Next up...\n",
"We'll introduce an external force field to our coupled two state system and in the process discover how we can use this force to create transitions between different energy states "
]
}
],
"metadata": {
"jupytext": {
"formats": "ipynb,src//md"
},
"kernelspec": {
"display_name": ".venv",
"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": "3.11.2"
}
},
"nbformat": 4,
"nbformat_minor": 4
}