{ "cells": [ { "cell_type": "markdown", "source": [ "# Wigner Functions" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Although the ZPG method is based on time-integrated photon-counting probabilities, it is also capable of simulating the time-integrated Wigner function $W(x,p)$ of a photonic state. The algorithm is based on the principle demonstrated in this paper [[K. Banaszek et al., Phys. Rev. A 60, 674 (1999)](https://journals.aps.org/pra/abstract/10.1103/PhysRevA.60.674)] that the Wigner function at the origin of phase space $W(0,0)$ is equal to the parity summation over all photon number probabilities:\n", "\\begin{equation}\n", "W(0,0) = \\frac{1}{\\pi}\\sum_n(-1)^np_n.\n", "\\end{equation}\n", "Naively, we could imagine computing this by using photon_statistics() and summing over the result similar to how they implemented this in the paper. However, there is a remarkable similarity between this parity summation and the loss formula to determine the vacuum probability:\n", "\\begin{equation}\n", "p_0(\\eta)=\\sum_{n}(1-\\eta)^np_n\n", "\\end{equation}\n", "By choosing to use an unphysically high detection efficiency of $\\eta=2$ while simulating the vacuum probability, we can obtain the Wigner function at the origin $p_0(\\eta=2)=\\pi W(0,0)$ by computing just a single probability instead of all $p_n$ necessary for the parity summation to converge. This can provide a remarkable speed improvement for the direct simulation of time-integrated Wigner functions. Let's exploit this idea using ZPGenerator.\n" ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 18, "outputs": [], "source": [ "from zpgenerator import *\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-09T14:05:59.453252Z", "start_time": "2024-02-09T14:05:59.269860Z" } } }, { "cell_type": "markdown", "source": [ "## Parity detector" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "By default, there are post-processing steps in the backend that prevent such a direct exploitation of the ZPG method by the user. However, we can specifically ask for this unphysical behaviour by using a special parity detector when building a processor. This detector indicates that we wish to use an unphysical $\\eta=2$ to get a parity summation at the detector. See [Detectors](detectors_catalogue.ipynb) for more detail on this detector type.\n", "\n", "Let's test this using an ideal single-photon source." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 19, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pattern | Expectation\n", "p | -1.00000\n", "\n" ] } ], "source": [ "p = Processor()\n", "p.add(0, Source.fock(1))\n", "p.add(0, Detector.parity())\n", "pn = p.probs().display()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-09T14:05:59.488916Z", "start_time": "2024-02-09T14:05:59.291747Z" } } }, { "cell_type": "markdown", "source": [ "As expected for a single photon, we obtain the parity ('p') expectation value of $-1$ at the origin of phase space, corresponding to the Wigner function value of $-1/\\pi$, as expected. We can try again for other Fock states to convince ourselves it is working." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 20, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1: -1.0\n", "2: 1.0\n", "3: -1.0\n", "4: 1.0\n", "5: -1.0\n" ] } ], "source": [ "for i in range(1, 6):\n", " p = Processor() // Source.fock(i) // Detector.parity()\n", " print(\"{n}: {p:.4}\".format(n=i, p=p.probs()['p']))" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-09T14:05:59.492424Z", "start_time": "2024-02-09T14:05:59.304164Z" } } }, { "cell_type": "markdown", "source": [ "Here, we can see the alternating pattern from the parity summation formula." ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "## Shaped lasers" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Of course, it is not very interesting to simulate the Wigner function just at the origin. To compute the Wigner function at any point in phase space with complex amplitude $\\alpha$, we need to displace our light in phase space using a local oscillator (a laser pulse) before measuring $W(0,0)$ using the parity detector. This is the same approach as used to measure the Wigner function in [[K. Banaszek et al., Phys. Rev. A 60, 674 (1999)](https://journals.aps.org/pra/abstract/10.1103/PhysRevA.60.674)].\n", "\n", "As simple as it sounds, displacing the light emitted by the source requires interfering its emission with the laser pulse at a beam splitter, and this beam splitter will cause photon loss for our signal and hence alter the measured Wigner function, just like it would if we performed this experiment in the lab. To get around this, we can use a beam splitter with a very high transmission and a laser pulse with many more photons than the signal. This way, the loss is minimized and yet the displacement is nearly perfect. However, simulating the exact quantum dynamics of a laser cavity with many photons would require many energy levels, which would in turn slow the simulation down immensely. Luckily, because a laser is in a classical coherent state, we need only simulate the quantum fluctuations induced on the laser cavity when measuring the displaced signal. In essence, we can get around simulating the full quantum dynamics of the laser cavity by it moving into a displaced frame defined by the time-evolution of the laser cavity would experience if we were not measuring the quantum signal.\n", "\n", "Fortunately, ZPGenerator has this exact `displaced local oscillator' component as a catalogue source called shaped_laser(). See [Sources](sources_catalogue.ipynb) for more detail about this source type. For now, let's make it and compute its photon statistics for an amplitude of $\\alpha=5$." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 21, "outputs": [ { "data": { "text/plain": "
", "image/png": "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" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": "
", "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "laser = Source.shaped_laser(shape=Pulse.gaussian(), parameters={'amplitude': 5})\n", "laser.plot_lifetime(label='Coherent state').show()\n", "laser.photon_statistics(truncation=50).plot(label='Coherent state').show()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-09T14:06:02.677169Z", "start_time": "2024-02-09T14:05:59.385256Z" } } }, { "cell_type": "markdown", "source": [ "We can see that we are still able to simulate the time-integrated photon statistics of a coherent pulse up to $n=50$ without actually simulating the full time dynamics of a 50-level laser cavity system. By default, the \"quantum\" part of the oscillator() source is truncated at just 2 energy levels, which can capture critical single-photon fluctuations of the local oscillator during homodyne measurement, while the \"classical\" part takes care of the coherent statistics that performs the displacement.\n", "\n", "Note that, unlike other catalogue source types that take a pulse keyword, the oscillator takes the shape keyword. The difference being that the keyword 'pulse' is reserved for the excitation pulse of a quantum source, which then dictates the 'shape' of the emitted light. In the case of the oscillator, the shape keyword directly determines the temporal shape of the light emitted by the laser. This comes in handy if we want to shape our laser to interfere with the emission from another source." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 22, "outputs": [ { "data": { "text/plain": "
", "image/png": "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" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": "
", "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source = Source.fock(1) # make the source we want to characterise\n", "lifetime = source.lifetime()\n", "\n", "# make the shaped laser pulse to perform homodyne tomography\n", "laser = Source.shaped_laser(shape=lifetime, parameters={'amplitude': 5})\n", "laser.plot_lifetime(start=-1, end=6, parameters={'amplitude': 1}).show()\n", "laser.photon_statistics(truncation=50).plot(label='Coherent state').show()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-09T14:06:04.204511Z", "start_time": "2024-02-09T14:06:02.673515Z" } } }, { "cell_type": "markdown", "source": [ "Now we can see that the classica pulse has an exponentially-decaying temporal profile, yet it retains the Gaussian-distributed photon statistics of a coherent state." ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "## Unbalanced homodyne" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Let's take a look at doing homodyne tomography now. Since we have constructed our source and shaped our laser, we interfere the emission from these sources at a highly-transmissive beam splitter with a parity detector at the output." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 23, "outputs": [], "source": [ "# build our unbalanced homodyne setup\n", "R = 0.001 # beam splitter with reflectivity of 0.1%\n", "theta_BS = np.arcsin(np.sqrt(R)) # turn that into a beam splitter angle\n", "p = Processor()\n", "p.add(0, source)\n", "p.add(1, laser)\n", "p.add(0, Circuit.bs(theta_BS))\n", "p.add(0, Detector.parity())\n", "\n", "# simulate the wigner function while tuning the local oscillator amplitude from -100 to 100\n", "wigner = []\n", "alphas = np.linspace(-100, 100, 100)\n", "for alpha in alphas:\n", " wigner.append(p.probs(parameters={'amplitude': alpha})['p'])" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-09T14:06:08.392816Z", "start_time": "2024-02-09T14:06:04.210024Z" } } }, { "cell_type": "code", "execution_count": 24, "outputs": [ { "data": { "text/plain": "
", "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(alphas, wigner)\n", "plt.xlabel('Laser pulse amplitude, $\\\\alpha$')\n", "plt.ylabel('Parity summation')\n", "plt.show()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-09T14:06:08.468629Z", "start_time": "2024-02-09T14:06:08.398351Z" } } }, { "cell_type": "markdown", "source": [ "We can see that the shape looks correct for a single photon, but that the x- and y-axis scales are way off! To fix the y-axis, we must multiply the parity summation by $1/\\pi$. The x-axis scale is off because the amount of laser that actually interferes with our source emission is limited by the high transmissivity of the beam splitter. Thus, we must correct for it by scaling the x-axis accordingly by the factor $\\sqrt{2 R/(1-R)}$. With this correction, let's now compare our numerical simulation of unbalanced homodyne detection with the analytic solution:\n", "$$\n", "W_{|1\\rangle}(\\alpha) = \\frac{2|\\alpha|^2 - 1}{\\pi} e^{-|\\alpha|^2}\n", "$$" ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 25, "outputs": [ { "data": { "text/plain": "
", "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "scaled_alpha = [a * np.sqrt(2*R/(1-R)) for a in alphas]\n", "plt.plot(scaled_alpha, [w/np.pi for w in wigner], label='ZPG')\n", "plt.plot(scaled_alpha, [np.exp(-a**2) * (2*a**2 - 1)/np.pi for a in scaled_alpha], label='Analytic', ls='dashed')\n", "plt.legend()\n", "plt.xlabel('Effective laser amplitude, $\\\\alpha$')\n", "plt.ylabel('Wigner function, $W(\\\\alpha)$')\n", "plt.show()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-09T14:06:08.538014Z", "start_time": "2024-02-09T14:06:08.471190Z" } } }, { "cell_type": "markdown", "source": [ "### Wigner method" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Since the above procedure for characterising a source is the same for any source, it is bundled together as a characterisation method of the SourceComponent class called wigner(). Let's take this opportunity to check what $|2\\rangle$ looks like:" ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 26, "outputs": [ { "data": { "text/plain": "
", "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source = Source.fock(2) # make our source we want to characterise\n", "\n", "# simulate the wigner function while tuning the local oscillator amplitude from -100 to 100\n", "alphas = np.linspace(-4, 4, 100)\n", "wigner = source.wigner(alpha=alphas, pseudo_limit=0.001)\n", "\n", "plt.plot(wigner.alphas, wigner.points, label='ZPG')\n", "plt.plot(alphas, [np.exp(-a**2) * (1 - 4*a**2 + 2*a**4)/np.pi for a in alphas], label='Analytic', ls='dashed')\n", "plt.legend()\n", "plt.xlabel('Effective laser amplitude, $\\\\alpha$')\n", "plt.ylabel('Wigner function, $W(\\\\alpha)$')\n", "plt.show()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-09T14:06:12.669125Z", "start_time": "2024-02-09T14:06:08.539608Z" } } }, { "cell_type": "markdown", "source": [ "## Imperfections" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Now that we have verified that the numerical approach matches the analytic solution, we can look at what happens to our Wigner function when we use an imperfect single-photon source. Now that we have imperfections, the result may not be symmetric. Let's look along both the X and P axes of the Wigner function." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 27, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number | Probability\n", "0 | 0.09943\n", "1 | 0.87399\n", "2 | 0.02645\n", "3 | 0.00014\n", "4 | 0.00000\n", "\n" ] }, { "data": { "text/plain": "
", "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source = Source.two_level(pulse=Pulse.gaussian({'width': 0.1, 'dephasing': 0.1, 'detuning': 0.1}), efficiency=0.9)\n", "source.photon_statistics().display()\n", "\n", "alphas = np.linspace(-4, 4, 100)\n", "wignerX = source.wigner(alpha=alphas)\n", "wignerP = source.wigner(alpha=[1.j * a for a in alphas])\n", "\n", "plt.plot(wignerX.alphas, wignerX.points, label='Imperfect X')\n", "plt.plot(wignerX.alphas, wignerP.points, label='Imperfect P')\n", "plt.plot(alphas, [np.exp(-a**2) * (2*a**2 - 1)/np.pi for a in alphas], label='Perfect', ls='dashed')\n", "plt.legend()\n", "plt.xlabel('LO amplitude, $\\\\alpha$')\n", "plt.ylabel('Wigner function, $W(\\\\alpha)$')\n", "plt.show()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-09T14:06:30.408927Z", "start_time": "2024-02-09T14:06:12.671262Z" } } }, { "cell_type": "markdown", "source": [ "With this approach, it is also straightforward to simulate the Wigner function of light produced by multi-pulse sequences. To demonstrate, let's look at the time-integrated Wigner function of the photon-number encoded Bell state $|\\psi_2\\rangle = (|00\\rangle + |11\\rangle)/\\sqrt{2}$ in back-to-back time bins produced by the $N=2$ Fibonacci pulse sequence (see the [Fibonacci States](fibonacci_states.ipynb) tutorial). In this case, the pulse of light is in a superposition of vacuum and two photons that arrive back-to-back, rather than two photons in a perfect Fock state." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 28, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number | Probability\n", "0 | 0.50000\n", "1 | 0.00000\n", "2 | 0.50000\n", "3 | 0.00000\n", "4 | 0.00000\n", "\n" ] }, { "data": { "text/plain": "
", "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sequence = Pulse()\n", "sequence.add(Pulse.dirac({'delay': 0}))\n", "sequence.add(Pulse.dirac({'delay': np.log(2)}))\n", "\n", "source = Source.two_level(pulse=sequence)\n", "source.photon_statistics().display()\n", "\n", "alphas = np.linspace(-4, 4, 100)\n", "wignerX = source.wigner(alpha=alphas)\n", "wignerP = source.wigner(alpha=[1.j * a for a in alphas])\n", "\n", "plt.plot(wignerX.alphas, wignerX.points, label='X')\n", "plt.plot(wignerX.alphas, wignerP.points, label='P')\n", "plt.legend()\n", "plt.xlabel('LO amplitude, $\\\\alpha$')\n", "plt.ylabel('Wigner function, $W(\\\\alpha)$')\n", "plt.show()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-09T14:06:47.015414Z", "start_time": "2024-02-09T14:06:30.410917Z" } } }, { "cell_type": "markdown", "source": [ "Let's compare that to the state $(|0\\rangle + |2\\rangle)/\\sqrt{2}$ by manually setting the initial state of a fock(2) source." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 29, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number | Probability\n", "0 | 0.50000\n", "1 | 0.00000\n", "2 | 0.50000\n", "3 | 0.00000\n", "4 | 0.00000\n", "\n" ] }, { "data": { "text/plain": "
", "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source = Source.fock(2)\n", "source.initial_state = (source.states['|0>'] + source.states['|2>'])/np.sqrt(2)\n", "source.photon_statistics().display()\n", "\n", "alphas = np.linspace(-4, 4, 100)\n", "wignerX = source.wigner(alpha=alphas)\n", "wignerP = source.wigner(alpha=[1.j * a for a in alphas])\n", "\n", "plt.plot(wignerX.alphas, wignerX.points, label='X')\n", "plt.plot(wignerX.alphas, wignerP.points, label='P')\n", "plt.legend()\n", "plt.xlabel('LO amplitude, $\\\\alpha$')\n", "plt.ylabel('Wigner function, $W(\\\\alpha)$')\n", "plt.show()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-09T14:06:55.218324Z", "start_time": "2024-02-09T14:06:47.019052Z" } } }, { "cell_type": "markdown", "source": [ "As we can see, the two cases both have $p_0=1/2$ and $p_2=1/2$ but their Wigner functions are not identical! This is because the correlations in the arrival time of the photons for the Bell state necessarily restricts a certain amount of coherence with the laser pulse." ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "## 3D plotting" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Of course, we can also generate some 3D plots of the Wigner function in phase space if we are willing to wait some minutes. It's important to recognize that this is a fully general and direct numerical simulation of a time-integrated Wigner function produced by a pulsed quantum emitter. There are faster ways to simulate a Wigner function for continuous wave systems (those that are not pulsed) and also for states that can be easily written in terms of a single pulse mode, such as a perfect single photon. However, the ZPG method can broadly capture physical phenomena and imperfections that those more specialised approaches cannot." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 30, "outputs": [], "source": [ "sequence = Pulse()\n", "sequence.add(Pulse.gaussian({'delay': 0, 'width': 0.03, 'area': np.pi})) # let's see what happens if we apply pi\n", "sequence.add(Pulse.gaussian({'delay': np.log(2), 'width': 0.04, 'area': np.pi/2})) # then pi/2 with a slightly different width\n", "\n", "source = Source.two_level(pulse=sequence, parameters={'dephasing': 0.1, 'detuning': 0.2}, efficiency=0.95)\n", "mag = np.linspace(0.1, 4, 30)\n", "phase = np.linspace(0, 2*np.pi, 30)\n", "wigner = source.wigner(alpha=[m * np.exp(1.j * p) for m in mag for p in phase])\n", "wigner = [[wigner.points[j + i * len(phase)] for i in range(0, len(mag))] for j in range(0, len(phase))]" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-09T14:08:43.999448Z", "start_time": "2024-02-09T14:06:55.221463Z" } } }, { "cell_type": "code", "execution_count": 31, "outputs": [ { "data": { "text/plain": "
", "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsYAAAI+CAYAAAC/qczBAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy88F64QAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOz9eXQc6X3ei3/eql6wbwT3DSSH6+zkcDgE7ejI0cnEPlexcx1fW3JiLb7ydWIlx1F8LTmOFi+yLEuR51qWZ2zpjGPnXsfLL4njRMdyorG1jkajmSEAglgIkiAJEiQIAo2tG91dVe/7+6O6CtWNbqABVKOb5PvxGY8GaLz1dlV31VPfet7nK5RSCo1Go9FoNBqN5iHHqPYENBqNRqPRaDSaWkALY41Go9FoNBqNBi2MNRqNRqPRaDQaQAtjjUaj0Wg0Go0G0MJYo9FoNBqNRqMBtDDWaDQajUaj0WgALYw1Go1Go9FoNBpAC2ONRqPRaDQajQbQwlij0Wg0Go1GowG0MNZoNBqNRqPRaAAtjDUajUaj0Wg0GkALY41Go9FoNBqNBtDCWKPRaDQajUajAbQw1mg0Go1Go9FoAC2MNRqNRqPRaDQaQAtjjUaj0Wg0Go0G0MJYo9FoNBqNRqMBtDDWaDQajUaj0WgALYw1Go1Go9FoNBpAC2ONRqPRaDQajQbQwlij0Wg0Go1GowG0MNZoNBqNRqPRaAAtjDUajUaj0Wg0GkALY41Go9FoNBqNBtDCWKPRaDQajUajAbQw1mg0Go1Go9FoAC2MNRqNRqPRaDQaQAtjjUaj0Wg0Go0G0MJYo9FoNBqNRqMBtDDWaDQajUaj0WgALYw1Go1Go9FoNBpAC2ONRqPRaDQajQbQwlij0Wg0Go1GowG0MNZoNBqNRqPRaAAtjDUajUaj0Wg0GkALY41Go9FoNBqNBtDCWKPRaDQajUajAbQw1mg0Go1Go9FoAC2MNRqNRqPRaDQaQAtjjUaj0Wg0Go0G0MJYo9FoNBqNRqMBtDDWaDQajUaj0WgALYw1Go1Go9FoNBpAC2ONRqPRaDQajQbQwlij0Wg0Go1GowG0MNZoNBqNRqPRaAAtjDUajUaj0Wg0GkALY41Go9FoNBqNBtDCWKPRaDQajUajAbQw1mg0Go1Go9FoAC2MNZqaRSmFlBKlVLWnotFoNBrNQ0Gk2hPQaDTLUUphWRbpdBqAaDSKaZpEIhGEEAghqjxDjUaj0WgePLQw1mhqDCkllmXhOI5fMbZt2xfEnkCORCKYpqmFskaj0Wg0ISGUfk6r0dQESikcx8G2baSUCCGwLAsAIQRKqTx7RSmhbBjaIaXRaDQazXrQwlijqQE864TjOAB+BTibzeb9d+HflBLKnvVCC2WNRqPRaMpHC2ONpso4joNlWUgpMQzDF8G2bTM+Pk5jYyNNTU2r2iUKhTKAYRh51WQtlDUajUajKY0WxhpNlfC8w7Zto5TKE8Xz8/P09vZi2zaWZWEYBm1tbbS3t9Pe3k5DQ0PZQvnevXtcv36dp556SgtljUaj0WhWQC++02iqgJQS27Z964QnipVSjI2NMTw8zP79+9m7dy8ACwsLJBIJJicnuXz5MpFIJE8o19fXLxPKQWuFlJJIJOIv7At6l4NC2Uu90Gg0Go3mYUQLY41mE/GsDpZl5fmCASzLor+/n5mZGU6ePElHR4fvMW5tbaW1tZWuri6klMzOzjIzM8PExASXLl0iFovR3t7ui+X6+np/m57g9kRysblks1l/LlooazQajeZhRVspNJpNQinFwsIC09PTbNu2LU8UJxIJent7aW5u5vHHHycWi6GUWnHxnYfjOMzOzpJIJJiZmWFubo54PO4LZSEE165d47nnnlt1fp4/2RPShmEsW8ynhbJGo9FoHlS0MNZoNgGvMnv37l2Ghob4e3/v7wGuGL169SpXr17l8OHD7N+/3xee5QrjQmzbXiaUhRDs3LnTryjH4/FVxykllAs9ylooazQajeZBQVspNJoKUphNHLQypNNpLly4wOLiIs8++yytra3L/t6zQayFSCTCli1b2LJlCwD37t1jcHAQ0zS5ceMGAwMDNDQ0+P7ktrY2YrFY0W178/XmIKUkm82SyWS0UNZoNBrNA4cWxhpNhSjMJvYW2EkpmZyc5MKFC3R2dvL0008TiVTuq+iJ1sOHDwOul3lmZoZEIsHo6CjJZJLGxsY8oRyNRvPG8MSuFsoajUajeZDRwlijqQCeYCzMJvbEck9PDydOnGD37t2bMp9g1TkajbJ161a2bt0KuE1EPKF85coVUqkUTU1NeUK5ULivJJQzmYxvAdFCWaPRaDT3E1oYazQh4lknvNSJoChOJpMMDAwgpeTcuXM0NTVtypxWE6KxWIxt27axbds2ADKZjC+UR0ZGSKfTeUK5tbV1RaFsmqbvS1ZKkU6n6evr48SJE9TV1fkL+SKRSN7+0Wg0Go2m2mhhrNGERCnrBMD4+DgDAwN0dnaSzWY3TRQH51Yu8Xic7du3s337dsD1QnsL+YaHh8lkMrS0tPgL+VpbW/O800Be4oZhGMzNzfnzSKfT/msMwyAajfoVZS2UNRqNRlNNtDDWaEIgWCUOikLbthkcHOTu3bs88cQT1NXVMTU1talz26jQrKurY+fOnezcuROAxcVFXygPDg6SzWZpbW3NE8rBbnpBgVyqouy9TgtljUaj0VQTLYw1mg0QbOsM+ZXSubk5ent7icVinDt3jrq6Oubn59ecMhHWPMOivr6e+vp6du3ahVIqTyiPj49j2zatra2+9aK5uXnZGMH9tJJQ9iwXWihrNBqNZjPQwlijWSdeNrGUEsCvkiqluHHjBpcuXeLAgQMcOnTIF3PriV/bKJUUkkIIGhoaaGhoYPfu3SilSKVSJBIJEokEY2Nj/v65efMm27Zto6mpKa+i7I1TTCh7i/nS6TSGYSxbzKeFskaj0WjCRAtjjWaNBFspF6ZOZLNZ+vv7mZub49SpU3R0dOT9bbWE8WZtUwhBY2MjjY2N7NmzB6UUyWSS119/nYWFBcbHx1FK+baL9vZ2mpqalonboFAGfKHsOA6O45SMh9NCWaPRaDQbQQtjjWYNrLTAbnp6mr6+PlpaWuju7i7ZNGOtItXzLd+PCCH8hYbHjh0jHo+zsLDgV5RHR0cRQuQJ5cbGxpJCOViVDzZP8X7vWS+8fxcKbI1Go9FoVkILY42mTLwqseM4y7KJr1y5wujoKEeOHGHfvn0lxZgnjDdT7FajSl0M7z03NzfT3NzMvn37kFL6QnlqaoqrV69iGEaeUG5oaChbKNu2jWVZy4SyJ5a1UNZoNBrNSmhhrNGsQmFb56AoTqfT9Pb2ks1mOXPmDC0tLSuOpUVZPoZh0NLSQktLC/v370dKyfz8PIlEgsnJSS5fvkwkEskTyvX19WsWyslkkmQyye7du/0cZc96odFoNBqNhxbGGs0KeB5ZT3QFRfHdu3e5cOEC27Zt49SpU2W1dQ5WmR+minG579UwDFpbW2ltbaWrqwspJbOzsyQSCSYmJrh06RKxWMzvyOcJ5WLbCwrlVCrFxMQE27dvz6soF3bl00JZo9FoHm60MNZoSuBlE7/22mscPXrU7wwnpWR4eJibN2/y6KOPsmvXrrLHDApjzeoYhuFXisE9Jp5Qvn37NsPDw8Tj8TyhXFdXV3QsTwjDUkXZsqwV21droazRaDQPF1oYazQFFGYTB8VRMpmkt7cXgHPnztHQ0LCmsashjGuhYhwWpmnS0dHhp33Ytu0L5Vu3bjE0NERdXV2eUI7H48vGKWa98Dzk2WxWV5Q1Go3mIUULY40mQGE2sSeQlFLcunWLgYEB9u7dy5EjR9YlkqpVMX5QhHEhkUiELVu2sGXLFsAVyjMzMyQSCW7cuMHAwAANDQ3EYjFf9JZKCwm2tQ4KZcuy/NcEhbKXeqHRaDSaBwctjDUa8oVQYVtngGvXrpFMJnnqqafYunXrurdTrYrxw0IkEqGzs5POzk4ALMtiZmaGmzdvkk6n+da3vkVjY6Nvz2hrayMajS4bZyWh7FWUvRbXhakXGo1Go7l/0cJY89BTmE0cFMWzs7MsLCzQ0NBAd3d3Sf9quaxFGIcVLVaNBX/FqEbVOhqNsnXrVl/Mnjhxwq8oX7lyhVQqRVNTU55QLraIci1COZh6oYWyRqPR3F9oYax5qFkpm/j69etcunSJeDxOV1fXhkUx6MV31SYWi7Ft2zZ/IWUmk/GF8sjICOl0Ok8ot7a2riqUvWNZTCgXepS1UNZoNJraRgtjzUPJStnE2WyWCxcuMD8/z+nTp7l8+XJo262mlaKaFeNaEITF5hCPx9m+fTvbt28H3FzqRCLBzMwMw8PDZDIZWlpa/IV8ra2teZXj4LjFhHI2m/XbV0sp/ZbZWihrNBpNbaKFseahY6W2zlNTU/T19dHW1sa5c+eIRqMYhuEvxguDBykl4kGjrq6OnTt3snPnTgAWFxd9oTw4OEg2m6W1tTVPKBcuwiwllO/cucPdu3d54okngOLxcFooazQaTXXRwljzUOFlExdWiaWUXLlyhWvXrnH06FH27t3r/y5sIbvZwljbN9b/3uvr66mvr2fXrl0opfKE8vj4OLZt09ra6lsvmpubSwrloA/Zy1HOZDJ5OcqePzkSieR9PjUajUazOWhhrHkoCGYTK6XyRMfi4iK9vb3Yts1zzz1Hc3Nz3t9WUxhrYVQ7CCFoaGigoaGB3bt3o5QilUqRSCRIJBKMjY0hpcwTyk1NTXlC2VtQGawqeyJZKUU6nfZf5wllr6KshbJGo9FUHi2MNQ88Ukps2y5qnbhz5w79/f3s2LGD48ePL/OPQnWFcRjb1RVjl7BFpecXbmxsZM+ePX77cE8oX79+HaWUb7vIZrNFj4EWyhqNRlM7aGGseWBZKZvYcRyGhoa4ffs2jz32GDt27Cg5jrdwKiweVo/xg/6ehRA0NTXR1NTE3r17UUqxsLDgC+VEIoFSir6+Pr+i3NjYuEzcliuUCzOUtVDWaDSajaOFseaBpLCtc1BsLCws0NPTg2madHd3r9rW2TAM7TG+z6nGexdC0NzcTHNzM/v27ePGjRvcu3eP1tZWpqamuHr1KoZh+BXl9vZ2GhoayhbKUkpfKBuGsWwxnxbKGo1Gs3a0MNY8cASzib1H0OCKo5s3bzI0NMT+/ft55JFHymrrXC0rxezsLL29vSilfOHU3t5etKVxOVRTGGuB5hKNRtm/fz/79+9HSsn8/DyJRILJyUkuX75MJBLJE8r19fVlC2XHcXAch3Q6rYWyRqPRrBMtjDUPDJ44uHr1qp896wkBy7K4ePEi09PTPP30037L4HLYbGHsNRcZGRmhq6uLhoYGZmZmuH79OhcvXiyrU1vh9jS1sR+CczAMg9bWVlpbW+nq6kJKyezsLIlEgomJCS5dukQsFvOPsyeUi41ZeAMYFMpejnJh6kVYnRU1Go3mQUILY80DQTCb+M6dO0QiEdrb2wGYmZmht7eXxsZGzp07RzweX9PYm+kxtiyL/v5+ZmdneeaZZ2hqasJxHLZu3Qq4zUe8Tm2XL19mcXGR5ubmvE5txRYQwsNtpagFVtv/hmH4xxFcH7wnlG/fvs3w8DDxeDxPKBfrxriSULYsi8HBQY4dO0Y8Hs+rKGuhrNFoNFoYax4AvA5jXjax5wlWSjE6OsqVK1d45JFH6OrqWteFf7Mqxp6Ab2pqoru7m1gs5nukPQpbGnud2hKJBIODg1iWRUtLCx0dHX6urhY7tcFaOw+apklHRwcdHR0A2LbtC+Vbt24xNDREXV1dnlAudtMXFMqO4zA1NeV78C3L8n9vmqZfUfasFxqNRvOwoYWx5r4lWAULZhMLIbAsizfeeINUKsXp06dpa2tb93Y8QREWhcI4aJ1Yq4APdmoLNqAI5up6731hYYFYLPZQCuVaqJZvtCV3JBJhy5YtbNmyBXCFsvf04MaNGwwMDNDQ0JBnsyn0o3v7wbNTeD/TQlmj0WhctDDW3Jes1NbZsiwuX77M1q1bOXfu3Koe3NWoZMU4m83S39/P3NwczzzzjP8Yfb3jFjag8OLCpqamuHDhAqZp5i3kK7a4q1LUgjh9kIhEInR2dvp+ecuyfKE8OjpKMpmksbExTyh7FGs6Umi98ISy9/rC9tVaKGs0mgcRLYw19x3BKnHQFymlZGRkhLm5ObZv386TTz4ZiuirlDCemZmhp6eH5uZm3zoRJsG4sCtXrnD69Gls22Z6epqJiQlGRkaIRqN5QrmYZ/VBodqV8o1WjFcjGo2ydevWon70K1eukEqlaGxsBGBqaoqOjo6iN42lhLJlWWSzWf/3WihrNJoHES2MNfcNK2UTp1Ipent7kVKyZcsWWlpaQhMhhmGEuvgO3I57ExMTHD58mP3795eca5hCKpiCcODAgbzFXZ5ntb6+fsVH8eul2qK0VtjM/VDoR89kMkxOTnLp0iWuXLmyLOGktbW1bKHsRSJ6FeVCoeylXmg0Gs39hhbGmvsC70LsCdRgder27dtcvHiRXbt2cfToUS5evFizDTmy2SyLi4uk0+kNe5/XQrH3UGxxV+Gj+LVGw9UqtWDjqPYc4vE4nZ2dXLp0ieeee45MJkMikWBmZobh4WEymYwfc7hSwonnP/YICuViFeVg6oVGo9HUOvfnVU7z0BC86HqpE8G2zoODg0xMTPD444+zfft2IPwKb1jCOJFI0NvbC8CRI0c2TRR7rPYeCj2r2WzWX8g3MjJCOp2mubnZT7xoaWkpGQ2nWU6lrRRrmYMQIm/hJuAv3JyZmWFwcJBsNktra2ueUC5mlyhHKBuGsWwxX7X3hUaj0RRDC2NNzbLSArv5+Xl6e3uJRqN0d3fnNT6oVqe6UgRj4w4fPsydO3fKFpSev3OjrEeExGIxtm/f7t9weNFw09PTjI+PY9s2ra2tfkW5ubm5pn2mtSDEqj2HlcR5fX099fX17Nq1a1nCyVqOdzlC2ftcNzU1aaGs0WhqCi2MNTVJsK1zUBArpRgbG2N4eJiuri4OHTq07OIcdsV4I+Nls1n6+vpIJpM8++yztLa2MjExUZXH6hvdZmE0XCqV8oXTjRs3lrWubmxsrBmxU20bQ63MQUpZ1jEplnASPN5eFGBQKDc1Na0qlL19cPfuXa5du8bJkyf9inLhYr5a+exoNJqHCy2MNTWFl01s2/Yy64TXFW5mZoaTJ0/6ea6F1ErFOJFI0NPTQ1tbG93d3USjUQC/AclmErbIEELQ2NhIY2Mje/bsyYuGm56e5urVq3md3Lyq4cNMLVkp1kqx451MJn2hfP36dZRSvu3CE8qF2/L+2xPLnmfda9ITbF+thbJGo6kGWhhraoaVrBOeP7e5uZlz586tmJZgGIa/Wj4M1iqMlVJcvXqVq1evcuTIEfbt27fson4/VoxXIhgNt2/fPqSUzM3NkUgkmJiYwHEc+vr6/MV+pbq0PehUW9yFJc6FEDQ1NdHU1MTevXvzboy8xZtCiDyhHHyC4FWuvf8OVpS9fzKZDNlsFiieo1ztfanRaB5MtDDW1AReNnFhlTgoMleLNvOoZsW4mHWikAehYrwahmHQ1tZGW1sbBw4c4Bvf+AZdXV1kMhnGxsaWdWlrb2/3K+qVotpCqhasFJWqWhe7MQo2l/GeIHhCubDVeXCcoFguFMrBirK3kC8SieSdMzQajWYjaGGsqSqF2cTBC1w6naavr490Ol1SZBajEqkU5Yw3PT1Nb28v7e3tedaJYjxoFePVEELQ2tpKc3Mzhw4dWtalrb+/n6amJr+aXCpTd708yKK0FudgGAYtLS20tLSwf/9+pJTMz8+TSCSYnJxkZmYGgP7+/hW7MK4klNPptP8aTyh7FWUtlDUazXrRwlhTNaSUpFIpenp6ePrpp/Mej05OTtLX18fWrVs5efLkmkRSuUK2XFar8Aar2kePHmXv3r0rXpQfhorxahTr0ub5k4OZusHmE7WceFEu1T4O1RLnweYyXV1d3Lhxg8nJSRoaGpiYmODSpUvEYjE/L9sTyoWUK5S9SrIWyhqNZq1oYazZdAqziaempoAlQXvp0iXGxsY4ceIEu3fvXvP4YQvPlawUmUyGvr4+FhcXOXPmDC0tLWWNWe78wryY10LVtBSF0XArRYV1dHTQ3Nx83wmdWtj/tVC1BvdzHYvFOHjwIEBeF8bbt28zPDxMPB7PE8rF2pWXEspSSl8oG4axzKOshbJGoymFFsaaTaXYAjtwq8fJZNJvgNHd3U1jY+O6trFZHuOpqSn6+vpob2/n6aefLruqXY0Lci2IgLUck8JM3cJoOKDkwq5SVHsf1IIorYU5wPLYuGJdGIPtygcHB/125d5xL7Z4cyWhnMlkSKfTWihrNJoV0cJYs2mUyiYGt63zpUuX2LNnD0ePHt3QY/NKd75TSnHlyhVGR0fLsk4UG68a0WW1ULFcD8Wiwjy/6tTUFFeuXME0Tb+aXOwx/P363sOmVoSxUmrF73gkEmHLli1+JGOwXfmNGzeWLd5sa2srmlQTFMredr1ISMdxmJ+fZ3Jykn379uUt5iv8O41G8/CghbGm4qyUTexVjkdGRnjyySfZtm3bhrcXdsU4KLQzmQy9vb2k0+k1WScK51eJ1642zoMiDoUQyxZ2edFwhY/hvX9qgVoQpasJ0s2i3EYjHoXtygsXbyaTSRobG/OEcrHFr57g9fZBMplkbGyM3bt3Y9u2//tCj7IWyhrNw4MWxpqKslI28dzcHD09PQCcPHnSf4y6USpVMZ6amqK3t5ctW7aseUFg4XhrmV9YubPVpJLbL4yGcxzHF01eNFw0GiUajTI5OVlSNFWaWhHG1Z6DN4+NCPRiize9Y37lyhVSqRRNTU15QrnY99W7Ufd+51WUbdvGsqw8oexVlD3rhUajeTDRwlhTMVbKJr5+/TojIyMcPHiQK1euhCpUKmFVyGazvPXWWxw7dow9e/ZsSFxUS5g8KBXj1TBNM+8xvGVZDA0NkUqluHr1Kslkkubm5jzR5DWYqDTVFqW1IozXWjFejVgsxrZt2/wnTplMhkQiwczMDCMjI6TT6Tyh7MUBFgr0woqyFsoazcOHFsaa0AlmE3sXHu8imM1muXDhAvPz8zzzzDO0t7dz7dq1TY1XWwvpdJqhoSGklHR3d9Pc3LzhMavhMa4FMVQtotEoDQ0NRKNRjh075oumRCKxLBquo6ODlpaWigidWrgxqRVhXGlLRzweZ8eOHezYsQNwv8eeUA4e83g8jpQSx3GK3hytJpSheFc+LZQ1mvsXLYw1oSKlxLbtotYJrwFGa2sr3d3d/mKZSsSrhSE87927R19fH62traRSqVBEMeiKcbUpFE3BaLj+/n5s285LvAgrGq4WRGktzAHc88RmVekB6urq2LlzJzt37gSWjvmdO3fIZDJ84xvfoLW11T/upXKzSwlly7LIZrP+77VQ1mjuX7Qw1oRCMJvYu/h6F2ApJVeuXOHatWtFUxzC9gRvVGhLKbl8+TLXr1/n+PHjtLS08Prrr4c2v4e1YlxtYV5qHxRGwyWTSV8oX79+HXCj4bzEi4aGhnXvz2ofh1oRxtVeBOgdc+/cc+LEiZK52d7NUblC2TsPehXlQqHspV5oNJraRAtjzYYpbOscFMWLi4v09fWRzWZ57rnnilZdwxaKG0lgSKfT9Pb25s13YWFh0xqGVJJqC9P7ASEETU1NNDU1sXfv3rxouMnJSS5fvkwkEslLvCjWoa0YtbD/a0UYh+0x3sg8TNOkoaGBhoYGdu/evSw3e2xsDCllnlBuamoqKZSDlfCgUC5WUQ6mXmg0mtpAC2PNhghmEwcrJwB3797lwoULbN++nVOnTpVMcahExXg943ltqLdt25Y330oI94exYlxN1itKi0XDlerQ5nmUi+XpBserJrUiSKtdMfbwFgYHKZabXfgUQSmVZ7dpamoqul/LEcqGYSxbzFcLx0ijeVjRwlizLlbLJh4eHmZ8fJxHH33U9/WVYjNbOBdDSsnIyAg3btwo2oa62vMLi2pWLB+UC71hGHnZyMEObV40XKk8XV0xXqJWBHoxYVxIsacICwsLvlAeHR1FCFFWJ8aVhPLw8DCtra1s3bp1mUe5FvaVRvOwoIWxZs2slE28sLBAb28vhmHQ3d1NQ0PDquNVs2LsWScsy+Ls2bM0NTUte00wZi6sTOHNFkn6wlqZfVDYoc2yLF8weXm6XjRcNputujiuFWFcyxXj1RBC0NzcTHNzM/v27UNK6Qvlqakprl696mdre0K5lC89KJQXFhZoampCKUU2myWTyfgVZS2UNZrNQwtjzZqQUpLNZotmE9+6dYvBwUH27dvH4cOHy77gVKIhRznjBa0TJ06cKLlK/kEQxlAbFcsHnWg0WjRPN5FIkEwmuXTpEnfv3vUFU6Wi4UpRK8L4fqoYr4ZhGMvsNvPz80xPT+f50oNCub6+ftn79/zO3nnI+75651wtlDWazUELY01ZeNaJ4eFhOjs7aW1t9U/Gtm1z8eJFpqameOqpp/xuVOUStud2NetD0Drx6KOPsmvXrlXnB+EJy3KFseM4DA4O+t3avFSEurq6dW3zYaZaNwXBaLhUKkVnZyeRSIREIsHNmzf9RV3esS3lVQ2LWhHGtVIxrsQ8DMOgtbWV1tZWgDxf+sTEBJcuXSIWi/lWG08oF4p07zgVE8qZTIZsNutvTwtljSY8tDDWrErQOnH37l0aGxtpa2sDYHZ2lt7eXurr6zl37hzxeHzN429mxXhxcZHe3l5s2y5pnSg2Pwgve7UcYZxMJunp6cEwDI4cOcL8/Dy3bt1iaGiI+vp6f6FXue2Nq1WlDlLt7dcCnlD20g+Ci7o8r2ow8WIj0XDFqBVh/CBVjFej0JfuOE7RBZyWZTE7O0tzc3PRm9+gUDZN089QVkqRyWTyKsreQr5IJJL3ZE+j0ayOFsaaFSls6xw8IV+7do3Lly9z6NAhDhw4sO6Tb9iL24KZosE5BVMyjh8/XrbI3eyK8Z07d+jv72f37t0cPnwY27bZunUrBw8exLbtZR5Wr2ub15ig1Pt62IVpLYiD4BwKF3V5j+BLRcN1dHSs62lBkFoRxrVSMZZSlkzLqRSmadLR0UFHRwewtICzv7+fe/fucePGDf/m16soFys4BGMxC4VyOp32X+MJZa+irIWyRrMyWhhrilKYTeydTA3DIJvN8uabb5JMJjl9+rRfPV4vlVh8B0siQErJpUuXGBsbK8s6UchmCWMpJcPDw9y6dYvHHnuMHTt2LNsvkUiErVu3+naVTCbD9PQ0iUSCgYEBvzGB92je69qmL4TVZ7XPT/ARfFdXF47jMDc35zedGB4epq6uLq+ivFI0XKk51MJnoVbmsRkV49XwFnAahsGJEydoaGhgZmaGRCLBjRs3GBgYoKGhIS/ppNhxL1coe5VkLZQ1muJoYaxZhhcf5Imy4IXDtm0uX75MZ2cn3d3dZT3GX41K5ATDkhevp6cHKSXd3d00Njaue7xKCmPP4uE4DmfPni17nvF43G91G2xMMD09zbVr1/xH896j1moJkmpfeGtBiK11DqZp+mLIe1rgCabr169z8eJFPxrOs9WsVv2spUptrcyj2p8LD8+qFYlE6OzspLOzE3CTTrzjPjo6SjKZLBkJGKSUUJZSaqGs0ayAFsYan2CmZmHqhNcmeW5uju3bt/Pkk0+GdvKshMcYYGJigqGhIXbs2MGxY8fW7Q/2LjBhzbFQGHvpGGu1eBQbN9iYILg63rNe3Lp1yxdS66k4ajbGRr4zhYIpm836guny5cssLi760XClbDW1JIxrQXzVikD3FjcXm0s0Gs17ShQ87p6dqqmpKU8oF7tBWkkoZzIZ0uk0hmEsW8ynhbLmYUMLYw2wcjZxKpWir68P27bZsmWL/3g+LMIWxh4DAwM89thjqzYYKYcwF695YymluHz5MteuXSvaWGSjBB/Nz8zMsHXrVurr6/Mqjt4FtaOjg9bW1k33W24m1b64h+3xjsViedFw6XTa958PDg6SzWb9NsYdHR00NzfXROUcakug18I8vM9GOXMpPO5eJODMzAwjIyOk0+k8oVzqe11osfLOSY7j8Oabb9LV1UV7e7sWypqHjgf3Kqgpm2Bb58KTnrcQbOfOnRw7doyBgYHQRWyYi+9SqRS9vb0AnDx50m+8sFHCFsaO4/DGG2+QTqd57rnnaG5uDmXslbZpGEZeM4psNusLqeHhYTKZDC0tLf7CoObm5lBFw8O++K/SorSuri7PVrO4uOgfXy8aLhKJ0NDQwPz8fMWj4VaiVgR6rQhj75y6nqdFwUhAWLpBmpmZyfteewv5Si3Q9YSyYRhkMhk/9s3rcOr9vtB6odcwVJff+q3f4uWXX2ZgYKBqn+WXXnqJ3/iN32BkZGRdyVS1hhbGDzGrtXUeGhri9u3b/kIwcE/clRDGlmVteJyJiQkuXLjArl27mJ2dpb6+PoTZuYQpjFOpFDMzM2zfvp2nn35606q0hfOPxWJs376d7du3A67P2bNdeEIqmJ9cqs2tpnw2a/8JIWhoaKChocGPhltYWGBoaIh0Os1bb72V152to6OjaNOJSlFLgrQW5hF8UrdRgjdIQN4NUvBJQlAoF27Xu4nyrBWwVFG2bRvLsrRQ3iB/+Id/yPvf/36++93v8uyzz/o/V0px5MgRLl++zJtvvsnJkyf93zmOw/79+zly5Ah/+7d/y9zcHJ/+9Kf57Gc/W9XP8Xvf+14+8YlP8Pu///v8q3/1r6o2j7DQwvghZSXrxPz8PL29vUQiEc6dO5cnMMNeKBfGmMXSHG7dulW1NtOl8CLuRkdHqaurC9WnvRrlbKe+vp7du3fnCSmvze2VK1f86LCNNBqpFrVQra7mHLw2xo2NjTQ0NLBv3z4/Gu7u3btcvnyZaDSal3hRyeOrK8bL5+FVa8Omvr6e+vp6du3atexJwvj4uJ9k4x335ubmon7nYEUZVhbKXo6yZ73QLMdrADM3N5f38//5P/8nly9fLvq7v/qrv+LWrVu88MILALz88svYts273vWuyk94Berq6njPe97D5z73Of7lv/yXNfHd3ghaGD+EFGYTB1MXbt68ydDQEPv37+eRRx5ZdlIzDMOPcAuLjYjOVCpFT08PAN3d3TQ0NADhN7TY6HiWZXHhwgXm5uZ45JFHmJyc3NSTx1rn7wmp5uZm9u3bl9e9ayONRh5makEMenMoFg1XeHy9aDjv+Ia5ULNWFt89bF7nYk8SvCSbRCLB2NgYUkqklNy+fZtt27bR1NRUdG6rCWVY6so3OTnJnTt3OHv2bMXf4/1CKWH84osvcuLECQYGBor+bteuXfzIj/wI4Fad/9E/+kc1UaT4P/6P/4Pf+q3f4u/+7u/4gR/4gWpPZ0NoYfwQUSqbGFzhdvHiRRKJxIreXNM0/VakYbFej7Hnf961axfHjh1b1k417KSL9Qrj2dlZenp6aGpqoru7m+npae7evRva3DaDYPeu1RqNdHR00NLSkudjrAURpOdQWpAWazrhJR9cu3aNhYWFspIPysETUA+TIF2NUokUlaYwyUYpxdzcnJ9T39PTg1LKt12s1La8lFC2LIuvfOUr/Mmf/Anf/OY3N/st1iyeMJ6fn/d/NjY2xv/4H/+D3//93+dnf/Zn8353+fJlvvrVr/Kxj32MSCTC6OgofX19fOhDH8ob99atWxw6dIh3v/vdvPzyy/7Pv/rVr/KDP/iDfPCDH+S3f/u3y5rjD/3QDzEwMMC1a9fyfq6U4tSpUzQ2NvrH9NSpU3R0dPDf/tt/08JYc39QmE0c9IHNzMzQ29tLY2Mj3d3dK5rnK5EgsdYxHcdheHiY8fHxPP9z4ZjVrhgrpRgbG2N4eDivO+B6qrcbrTaGXUFfqdHIxYsX8xqNdHR01ISVodrUwj4o93NULBrOuxHykg9Wi4ZbaQ4Qjp92o9SKMK6VeQghfOvc448/jhDCt1QF25YHhXKptQdBoZxKpdaVIf8g09LSAuRXjP/gD/6AlpYW3v3ud/N//9//d97vXnrpJUzT5Gd+5mcAePXVVwHyPMgAu3fv5v/8P/9P/uAP/oCPf/zj7N+/n6GhIX7sx36MH/zBH+Tf//t/X/YcT58+zV//9V+TSCT8luYAf/qnf8r58+f51re+lff6kydP8u1vf7vs8WsVLYwfcILZxN5FMWidGB0d5cqVKzzyyCN0dXWtetGstjBOJpP09vYihMizThRSiYrxWsazbZuLFy8yPT3t30kHx1qLSKqFR/CrUazRiCeUr127huM4jI6OkkqlaG9v39SFXnB/idJanEPhQs1gNFyw42LQp1pK6HnHotr7AmpHkHrNPWoBx3H860QxS1Vw7cHVq1fzFnG2t7fT0NCw7Ngmk0mampqq9I5qk0IrhWVZfOlLX+L9738/9fX1NDc3+79Lp9P84R/+IT/8wz/sd24dGhoC4MCBA8vG/qVf+iW+9KUv8elPf5pf+7Vf43/73/43urq6+E//6T+t6fP+zDPPAHD+/Hm/CmxZFh/96Ed55zvfyblz5/Jef/DgQf7jf/yPa9kNNYkWxg8whQvsgqI4k8nQ19fH4uIizz77rP8lXY1KCONyReft27e5ePEiu3fv5ujRoyt+wcOuGK9lvIWFBc6fP088Hi9agQ+7elsOm7nN4OPZvXv3IqXkO9/5DnV1dUxMTHDp0iXi8fhD2Wik2mIwLHFeGA0X9KneuHEj7/F7R0dHXlUx+NSq2tSKMK6WlaIYxWI7PQzDoKWlhZaWFvbv35/XRGhycpLLly8TiURoa2ujtbWVubk5jh8/7nfrWw9f+MIX+MxnPsOdO3d48skn+fznP5+X4hDki1/8In/8x39Mf38/4D7e/43f+I1lqQ8f//jH+eIXv8jMzAznzp3jxRdf5PDhw+ua33opFMb/5b/8FyYmJvjn//yfA+QJ4z//8z9nenqan/u5n/P/fmpqikgkUvSGY/fu3XzgAx/gi1/8Im+99RaLi4t8/etfX/MxOH36NABvvfWWL4z/4A/+gNHRUf7yL/9y2evb29tZXFwklUqVLFrdD2hh/IAipWR6epp4PE40Gs07yU1OTnLhwgW2bNmy5riwalSMg9Fxjz/+uF+12siYa6VcYTk+Ps7FixdLLl5cy1gPCl7k044dO+jo6MBxnGWtjTej0Ui1hVgtHPNKVK2L+VQLH78HPerehbwWhGCtLAKsFYEO7vm23Op1cBEnkLdI9/z587z3ve+lra2NgwcP0tTUxPXr19m/f3/Zc/mzP/szPvShD/HSSy9x5swZXnjhBZ5//nmGh4f9BidBvva1r/Gud72L7u5u6urq+PSnP80/+Af/wC+ogJv7+zu/8zv80R/9EQcOHOCjH/0ozz//PAMDA5u6iK2uro5YLOb7iF988UX+4T/8hxw6dAhwhXHwd8ePH+ftb3972eP/wi/8Ar/7u79LX18f3/zmN9fVQGrHjh3s3r2b8+fPA27l/9d+7df4p//0n/LYY48te30tPQ3aCFoYP2AEs4lff/11Tp06RVtbG+CetEZGRrhx4wbHjx9n9+7da/4AV0oYlxIN3gIQwzBWtE4UstmpFJ54v3PnDk899ZTvvd2MuZVDtcV48HNmmuaqjUYKO7ZtVDQ8qKK0FudQ7PH73NwciUTCf2IA7qNg7xhXoymAZzOrBUFaa1aK9c6lcJHu9evX+drXvsYXv/hFhoaGeOSRR9i7dy9vf/vb/X9WEmyf+9zn+MAHPsD73vc+wPXZfvnLX+bll1/mIx/5yLLX/3//3/+X999f+tKX+M//+T/zyiuv8FM/9VMopXjhhRf4d//u3/HDP/zDAPzxH/8x27dv5y//8i/5iZ/4iXW97/XS0tLC3NwcAwMDfP3rX+fLX/6y/zuvYtzb28trr73G7/zO7+T97ZYtW7Btm/n5+aINoj75yU8Crq0vaOVbK6dPn/aF8ec+9zkSiQS/+qu/WvS1iUSChoaGUHsIVIPqnxE0oeFZJzw/sWmaviBIpVJ897vf5d69e5w9e5Y9e/as6wK5mRXj8fFxXn31VbZs2cKZM2fW9GhmMyvG3r6dm5uju7t7RVG82liVpBbEYTE8/+qxY8fo7u7mueeeY/v27SSTSb/a0dfXx9jYGAsLCzX7PsrhYRDGhXge1AMHDnDy5En/8Ww8HufWrVt8+9vf5rXXXmN4eJi7d++G0uynHGppEWAtWSnCFOnNzc28853vZOvWrfxf/9f/RSKR4MUXX6Szs5Pf+Z3fWbEZRDab5c033+Qd73iH/zPDMHjHO97Bd77znbK2n0qlsCzLF4ajo6PcuXMnb8zW1lbOnDlT9phh4tlNXnzxRQ4ePMg//If/0P+dJ4xffPFFGhsbec973pP3t8eOHQPc91TIZz7zGb70pS/xu7/7u0QiEV8kr4fTp08zPDzMjRs3+OxnP8s//+f/vGTVf3R0lOPHj697W7WCrhg/IBTLJvbEoefN3bVrF0ePHt3QSW8zPMaO4zA4OMjExARPPvlk0Udm5YwZtse42PsOdtsrjIwLY25hiZhqC7K18KA2GqkFQV8LMWneucl7ZGxZlm+tGR0dpb+/P7RouJXwvs/V3h9Qe1aKsOfipVI0NTXx/PPP8/zzzwOseC25d+8ejuMss85t377dX3i2Gh/+8IfZtWuXL4Tv3Lnjj1E4pve7zaS1tZXbt2/z9a9/nY9+9KN5+725uZnBwUH+1//6X/zkT/6kn2Lh4WVCv/HGGzzxxBP+z//yL/+Sj3zkI/zar/0aP/dzP8fIyAi/93u/xy//8i8XXai3Gs888wxSSt797nejlOKXf/mXS772rbfe4id/8ifXvI1aQwvj+5xgNrF30fNEkGEYXL16lbm5ubK9uathGIa/mC8sgqJzYWGB3t5e3zqx3kcylc4xllJy6dIlxsbGePzxx4tGxpU7VjmvD4NaEGZrJcxGI9W+OXhYrBTlzCEoAKLRaF70X9Bac+nSJTKZjJ+R3d7eviwje73UmjB+EKwUpfBysAup5L7/zd/8Tf70T/+Ur33tazV789za2srf/d3fUV9fz/vf//683zU3N/P6668D8C/+xb9Y9rcHDx7kscce46tf/ar/t2+++SY/+ZM/yU/+5E/6AvYXf/EXeemll/jkJz/Jl770pbwxhBC87W1v42tf+1rJOXrJFN/+9rf5xCc+UfKJ6Jtvvsn09LRvUbmf0cL4PkZKiW3bJds6p1IplFKcO3cutBNDJa0U3sK1ffv2cfjw4Q2dNCuZY5xOp+nt7cWyLLq7u9e80rdaHuMHgUIPY7DauFKjkVq5Kaj2cagFYbzagrfCaLiVWhh3dHSU7My2GtpKUZxKCONUKlXUB7sSnZ2dmKbJxMRE3s8nJiZWLUR89rOf5Td/8zf56le/mldN9f5uYmKCnTt35o351FNPrWl+YeAtWnzXu961zAfs7a/u7m6efPLJon///ve/n4997GMsLi4yNTXFO9/5Tp5++mm++MUv+q/ZtWsX73//+/nSl76UVzVeWFgAyNsPxejo6KCrq4tkMsm/+Tf/puTr/uIv/oJ9+/bd9809QAvj+5LVsom9phKxWIwDBw6EercctuCEJW/04ODguq0ThYQt4L3x7t27R19fH1u3buXEiRPruoA8rB7jSmy/sNpYqtGIZVn+Z7dawrDa+9+bQ7WF8VrtHPX19dTX17Nr166S0XDezdJKDScKCeb1VptaslJUonqdTCbXHN8Vi8U4deoUr7zyit8CWUrJK6+8wgc/+MGSf/dbv/VbfPKTn+Rv/uZv/Gqnx4EDB9ixYwevvPKKL4Tn5ub47ne/68ekbSb/9b/+15K/+43f+A1+4zd+Y8W/f//738+v//qv8yd/8if89E//NOPj40Vf93u/93v83u/9Xt7PvvGNbyCE4N/+23+74jauXr3K2NgYn/vc50pmUWcyGf7oj/6Ij3zkIzXxfdooWhjfZxS2dQ6e2LPZLBcvXmRmZoZTp05x9erV0C/GpmmGaqVYWFigv78fKSXf//3fH9pq1rCtFAB3794lkUhw/Phx9uzZs+5xdMW4cpRqNHLjxg1u377N5OQkbW1tvj95sxuNVPs41IIw3khEWrFouPn5+TwPummaeUK51DGuBb+1h5SyIj7q9RB29VopRTKZXHPFGOBDH/oQ73nPe3jmmWd49tlneeGFF0gmk35KxU/91E+xe/duPvWpTwHw6U9/mo997GP8yZ/8CV1dXb5vuKmpyW9l/fM///P8+q//OocPH/bj2nbt2uWL7/uJ1tZWfvEXf5HPfOYzvO9971vTcfu7v/s7fuInfoLHH398xdf90i/9El1dXfzsz/5sydf84R/+IdFodMXX3E/UxjdRUxZeldirdAS/BIlEgt7eXpqbmzl37hyxWIxr165VrRlHOdy6dYuBgQF27tzJ4uJiqBEvYVa2s9kss7OzKKU4c+bMskUQa+Vhj2vbzG16Imp+fp76+no6OjqYnp6uSqMRXTFemkNYwksIsazhRGE0XCwW849ve3u7Hw1XS1Vax3FqpslNJawU6+189+M//uNMTk7ysY99zI/C/MpXvuLbbG7cuJF3DF988UWy2Sz/5J/8k7xxPv7xj/OJT3wCcD23yWSSn/mZn2FmZobv+77v4ytf+UrN+pBX48Mf/jAf/vCH1/x3n/nMZ0r+bmZmhr/+67/ma1/7Gn/xF3/BX//1X6/4+fzZn/3ZB0YUgxbG9wXBbOJg6oT3uytXrjA6OsqRI0fYt29f3uK7sBfKmaaJlHJDF1jbthkcHOTu3bs89dRTNDY2cvPmzVDnGZYQTCQS9PT0IIRg3759GxbFHrUgkh4mvM+r14zgwIEDqzYaaWtrC1Ug1IoorfYcKtlUw4uG8+Lhgsd4bGyMgYEBGhoafIFc7X3hUWsivdQC1vXipVKshw9+8IMlrROFi8auXbu26nhCCH71V3+1ZBavBl555RXe/e53s2fPHn7/93/fTxF5WNDCuMYpbOscFMXpdJq+vj7S6XTRSqYnYsPEO3mv9wK7sLBAT08P0WjUXxSYTqc3NGapeW7kvSuluH79OiMjIxw+fJiZmZlQ5/awVYxrkc1sNFIrHaFqQRhvpoWh8BgHF2uOj4+TzWb53ve+51eTK9V1cTVqKZUi7Lk4jkMqlVpXxVhTHX70R3/0ob5eaGFcw0gpyWazy6rE4PpdL1y4wLZt2zh58mTRk3mlotW8ua314nbz5k0GBweXtUsOjhnWCXkjQtCyLPr7+5mdneX06dO0tbVx4cKFUE8UD/NJp1YplobgLeS7efMmUkpfQHV0dNDQ0LBmkVltUVoLLZCrOYfgYs0tW7Zw6dIl9u7dm3czFIyGa21t3RQR/yCnUiSTSYB1eYw1mmqghXEN4lknvNSJoCiWUjI8PMzNmzd59NFH2bVrV8lxKhWt5s2jXGzbZmBggHv37vH000/T2dlZcsywTsjrfe9zc3P09PTQ0NBAd3e376sKs+K60ar7eqiFinG1t7/WfV2s0cj09PS6Go1U+717PGwV45Xwzjc7duzwY7xKRcN5x7i5ubki+6/WrBRhzsUTxrpirLlf0MK4xljJOpFMJunt7QUoKz/XNM3Q26uuVRjPz8/T09NDLBaju7u7qHhYj9hejbUuElRKcfPmTYaGhjh48CAHDx7MuwBWQlhutkipFXFWDTb63oONRrxFXrOzs0xPT5fVaERbKZaohaq1N49CAVgYDZdMJn2hfP36dQDa2trWHA1XzlxqxUoRdsU4lUoRi8VC9y0/jKTTabLZ7KZtLxaL3beLEjeCFsY1RLG2zh5egsPevXs5cuRIWXf0lbBSePFwq4lOpRS3bt1icHCQrq4uDh06VHLOwWp4WKzlvQcr2idPnvT9iIVzDLtivJnUQsX4QSLYaARY1mhkcXGR5ubmvCYUoIWxN4daqI6uVqUVQvgxX3v37i0aDec9NQhGw62HWrJShC3SFxYWQruBeJhJp9N0HWhj4k5m07a5Y8cORkdHHzpxrIVxDVCYTRwUxZ5om5yc5KmnnirZjrEYlVh8581vpXFt2+bixYtMTU0VtU4U4ontsDvVlfPeg4sBS1W01zLeWijn8an3CL+urm7DFZeHLa5tM+dQTqMRcH32nZ2dfqbqZlMLwriWK8YrUSwazmtPfvv2bYaHh/34v8JouLDnUknCrhh7wlizMbLZLBN3Mgxdfp7mlspLt/k5m2OP/A3ZbFYLY83mIqVkcnKSdDrNtm3b8k6Os7Oz9Pb2UldXt662zpXwGK827vz8POfPn6eurm5FobmWMdc7x9WE4O3bt+nv7y+rBXWY1fdyL4DeDcbExARKqWWtjtd6UddsHoWNRubn53njjTeYm5vzs1eDC/nCzPBeiVoQxrVSMd7oPAqfGti27QtlLxqusbHRf02hvSZIrVkpwjw+XiJFtT93DwrNzVFamjfBlqIe3uOlhXGVCLZ1np6eZnZ21l8AEowKK+Z3LZdKWCm8cQtFbNCj29XVxSOPPLKmOYctjFeqQEspGRoaYnx8vOwW1JWwIqz0fpPJJOfPnycajXL27FmklCQSCd/T6iUkdHR0+MJqtf39MFspql0t94Tvo48+imEYzM/Pb3qjkVrxOd+vFePViEQiy6LhPH/ylStXSKVSvr3GE8qeGK4lK0UlUinW2g5aswIq989mbOchRQvjKlC4wC4SifgiKZvNcuHCBebn53nmmWf8asR6qKSVIii4bdumv7+f6enpkh7dcsYMu2JcbLxUKkVvby9KKbq7u8s+YYcpjFcTBRMTE1y4cIE9e/Zw+PBhHMdBKcWuXbv8RUFeQsLk5CSXL18mGo36IrmYsKoFIfIwExSlhmFUpdGIN4dqC7BaqFpD5e0L0WiUbdu2+TfemUzGF8pDQ0Nks1k/J7sSBYz1UgmPsU6k0NxPaGG8yQTbOnteYtM0cRyHqakp+vr6aGtr49y5cxv2lG6GlcKLN6uvr+fcuXNle+oKCdvDW0zIetnPO3fu5NixY2u6KIa5L0stNpRSMjIywo0bN3j88cfZsWOHH91X+PfBhIRiwiq48Ku1tRWofsW42tuvBTFWbA6b1WiklirG1Rbn1ZhHPB73o+GUUnnRcABvvPFGXuJFpaLhVsJ7khl2xVh7jMNDSIGQlf9cbMY2ahUtjDeJldo6CyFIJpO89dZbHD16lL1794ZyQqyUlcKrRN+4cYPh4WEOHDjAoUOHNjTnsLvBBYVsUHCulv1cikpXjDOZDL29vWQyGc6ePbumCksxYTU9Pc309DSDg4NYlkU8HicSiegV4lViLZ+dSjUaqRVhXCse42oKdCEEDQ0NNDQ0sH37du7evctTTz3lp15cu3YNIUTeQr71NJRZK8GY0LDYSDtozXKEcv/ZjO08rGhhvAmslE28uLjIlStXsCyLs2fPhtodqFJWCoCrV6+STqfXbZ0opBIeYykl6XSa3t5ef/+u95FeJYSx934TiQQ9PT20t7eX7GK4FmKxWF5lKpVKMTIyQjKZ5M0338Q0zTx/8nqr/PcT1a5Wb0SUltNoxLPQrNRopJaEcbXnALXldQa3M1xbWxt79+5FSumLZM8uFVY03Ep41yhtpahhZO6fzdjOQ4oWxhVmpWziiYkJ+vv7aWtrQ0oZesvMSlgpZmdnWVhY8DvDhSWqKuExzmazvPrqq3R2dnLq1KkNCc5KxMl5iywvXbrE4cOH2b9/f+gXaiEEjY2N/or448eP+yvnvZxpb+W852fdqDAvNQ/NxvfDao1GBgcHaWho8IVyMAmhVoRxrSQwSClroumEd94LVmmDPvSuri4cx2Fubq5oNFyYCzYdx/F98GGhrRThoivGlUcL4wqxUjax4zgMDw8zPj7Oo48+Sl1dHT09PaHPwfMuh4FSihs3bnDp0iXq6urYt29fqJXGMD3GSikmJyeZn5/n0UcfZc+ePRsWA5W4yRgaGmJubm7DiyzXQjBi6uDBg/7K+enpaS5duuT7Wb1qcjV8jpWimu+jUhXrtTQa8W68q308a0mQ1oKlI7jepBTeU55gNFzhuoJyo+FWohI3LalUyk9c0mwcLYwrjxbGFcBbYOcJKa+BBbiPlXp7ezEMw09FmJubq0ojjnKxLIv+/n5mZmY4deoU165dC/1CH5bH2Ev1mJ2d9TtWhUGYFeNkMolSikwmU3bVfaOPn0vNv3DlvOdnnZ6e5saNGwDLYuE0a2ez7AMrNRoZHx8HoKenxz+e1ciXrSUrRS0I4/XMIxKJ0NnZ6TdPymazeTdEqVTKzz1vb2+ntbW1LMFbidg4XTEOGancfzZjOw8pWhiHSDCb2Dv5exeAYIvkwoYSYVZ2g4QhjGdnZ+np6aGxsZFz584Ri8W4ceNG6EI+jLnOzMzQ09NDS0sLR48e5fr16yHNLjxh7EWxCSF49NFHN83fW64QKfSzFsvbDcbC1ULlrxyq7TGG6lRqg41GUqkUr732Gp2dnf4Cr2o0GtGL75bPY6NV2lgslneDm06n/cSLwcHBvGi49vb2kg2Cws4wBlcYa49xyFT/dPZAo4VxSBQusAuKYsuyuHjxItPT00VbJHuiMOxKimmavlhf6wUg2GTk0KFDHDhwwJ9bJWwFGxkzaPN45JFH6Orq4t69e5vWMKQcCqPYLl68WJVK3VoItsDt6uryH99OT08zOjpKf38/LS0tvkhubW1d8XNWC+K0WtTCe/cE6d69e/MWeG12o5FaWfRWKwK9ElXaurq6vM6LwWg4L9kkGA3nPTmohDDWi+9CRjf4qDhaGIdAsWxiD6/i2tDQUDLn1zsRhe3v8k62axXGnnVidna2qP+1loSx11wkkUjkzbUSucjrHa9YFNvAwMCmiqUwhEjh41vvMf309DTj4+M4jkNbW5tfUd6MeKn7hVqwDxTOoVSjkenp6Yo3GnlQBel6qHTlOhgNF0w28YTy6OioHw3nHd8wP69eS2hNOAjp/rMZ23lY0cJ4A6yUTayU4tq1a1y+fHlZxbWQYFvQMIVxUHCXy8zMDL29vTQ1NdHd3V20YlQJYbwe4Tk/P8/58+f95iLBuVYiF3k945WKYqtEi+nVCHt7wcf0SimSyWRejFg0GqG9vZGOjiaktEPd9nqotjCt9vZXEzulGo1MT0+H2mhEV4zz2eyUjmCyyb59+/Ki4e7cuUMqleLb3/52WRGA5aA9xiGj49oqjhbG62SlbOJMJsOFCxdIJpOcPn2atra2FcfyTs5h+4yDKRirEbROeHaEUhevSlWM1yLcbt68yeDgYMnmIpvRSW8lgvaOYlFsmy2MKy1EhBA0NFk0tP4Rew5+F0iglEQpkNKkubWB6XvPcPnyu2lv3xla9fF+oVasFGv5HAQbjRQ+jh8bG0Mpte5GI7UiSGthHtWuXAefHJimyfT0NHv37vUjHYeGhqirq8vLUC7XYuPdMIcdRfowI3L/bMZ2Hla0MF4HK2UT37t3j76+Pjo6Ouju7i5rcZKXG1mJKmw542azWfr7+8uODjMMA8uywpxq2e/fcRwGBga4e/duUb92cLxK5A6Xg23bvqe81P58ECrGHpJ7YH4GjFdxjWkWqDqEsNzPoBAQX2T37q8j5WtMTj7Gd77zD2hs3L1p6QjVFqa1aKVYC6Uex5dqNLJS45haqRjXijCulXmAe371jmNHRwdQPBrOs9h40XArZZ/rinHI6IpxxdHCeA0Es4m9qkewi5m3uOr48ePs3r17TSf/SiVTrDaul+TQ3Nxc0jpRSCVaTZcjjJPJJD09PZimyblz51Z8vFetinEymeT8+fNEo9EVo9gelIqxZBEiHwTGAQv3lCJAZEDGQBhAFmEqcEwiEYsdO86zY/swM1P/O2O3z+alI3gX5I08uq1Vqi0GwxTnhY1GvAYUpRqNtLe3++KplirG1T4m3jxq5elJMTtfsWg478nByMgI6XTaz8ouFg2nPcaa+w0tjMtESsn09DSpVIqtW7fmieJUKkVvby+O46y77XAlxKY3bjGBGPRAr2adKHfMjbCakL1z5w79/f3s2bOHI0eOrHphrYTHeLX37EWxlTPHcoVxMN1ko4QtxCUOmP8SxLXcBlpBzC69wBAgHSCKkhIpGzFUBoEBIsuW5v9BR+tOHONtzC0opqen/a5e9fX1RUXVRngQG3ysdQ6V2geFDSi8RiPT09PLGo1ks9ma2B+1IkirbaUIUs4+CVpsID8abmBgANu2+da3vkUymeQHfuAHyGaz67omfuELX+Azn/kMd+7c4cknn+Tzn/88zz77bNHXXrx4kY997GO8+eabXL9+nd/+7d/m53/+5/Ne84lPfIJf+ZVfyfvZ0aNHGRoaWvPcqolefFd5tDBehWA28dTUFFNTU/4JAZYE265duzh69Oi6T7SmaW5akw+vCcb8/HxZHuhiY1aiwYfXJTCIlJLh4WFu3brF448/nrfvV2IzK8aFUWzldHmqRsU49O0ZHwZjOLCRBVAxEFkgBhKELcCwMJAYpHCfz8VAWSiSGNnPIMzfpqO+nY49R5F7fwZbPOkv+vJElRcLt95FX7UgxKpdndzMSm1hoxFPPE1PT5PJZBgYGOD27dv+U4JqNBqppYpxrQhjx3HWnE1eGA2XSqW4du0a//W//lf++I//GMMw+MAHPsDzzz/P3//7f5/HH3981ff7Z3/2Z3zoQx/ipZde4syZM7zwwgs8//zzDA8P+1nNQVKpFAcPHuTHfuzH+Nf/+l+XHPfRRx/lq1/9qv/fYdxwbz46r63S3I+fik2jsK1zJBLxq7qO4zA4OMjExMSaBFspNstKkUgk6O3tpaWlhXPnzq2rQUOlrBSF4mVxcZGenh6UUn6XwLWOF1aVrJSwLBbFtpHx7hcUfwZcAJUFIYAokMvwztaDuQhOE8KyXEtFNAOmhXKiCK8UIdyRhOOgmALjm5jpHqj/TbZufTJPVHmxcF4Ga2E3vloQOCtRC8e6mj7noHianZ2lq6sLx3Gq2mikVgRprVSuwb2ubcTGJISgsbGR9773vbz3ve/lxo0bPP300/z9v//3eeWVV/j4xz9OXV0db3/72/mt3/oturq6io7zuc99jg984AO8733vA+Cll17iy1/+Mi+//DIf+chHlr3+9OnTnD59GqDo7z0ikch9355aV4wrjxbGJQhmE3uL2DxhPD8/T29vL5FIhO7u7lBO4pWwJwTHVUoxOjrKlStXiqYkrGfMSszTY3Jykr6+PrZv387x48fXfOEIxuZVShiXimJb73iVJMztKW6C+A8I0ihVB9iAQEgJZEEYmHN1CJF2ty0jkAZVF0OYBojckwHDm49EOAZKRIBFIsmfx274FYj9PcAVVbt27WLXrl153fgmJycZGRnJa0rR0dFRk9347vfFd2HT0NBAW1vbio1GglaaSjUaqQVhXImmGusl7Lmk02lM0+QXfuEX+MVf/EUsy+J73/sef/u3f0tra2vRv8lms7z55pv80i/9kv8zwzB4xzvewXe+850NzWdkZIRdu3ZRV1fH2bNn+dSnPsW+ffs2NOamoxffVRwtjAtYKZtYCEE6nea1116jq6uLQ4cOhXZirWRb6Ewmw5tvvkkymeTZZ58teUJay5iVEsZKKS5fvsy1a9d49NFH2bVr17rHg/AqdcH3vFoUWzncr4vvFArER3Afs9kIGUPYdahIys/3MRejCOqAhdzfCAwFImOhRCOywQGhUHklCYmwYyAcIEsk9e9w1C+g4v9o2fsIduMr1pSiubnZF1VtbW3+Z6HaHuNqi9JamAMstzCU22gkeEw3Kt68p0m1IIyllDVzMxd29XphYYHGxkb/eHuLkru7u0v+zb1793AcZ9lT2O3bt2/ID3zmzBn+w3/4Dxw9epTbt2/zK7/yK3z/938//f39Ok5Ok4cWxgFWyia2LItr166RyWQ4ffq0H4IfFpUSxlJKLl26xJYtW8qOj1uNSvihhRDYts33vvc9MpkMzz333IZOVsGuf2Gc6D0hW04U21rGK/e1YRCOEP894CYgwDERZFFGDGFHURELYUcxbAclAoJDLG3XwECkDJxGCcJBEczLtMHx/svBXPwMUiWQde8pOZvCphSZTMb3snoLgdra2lhcXCSdTldVHFZblNaKMF5NkG5GoxHvu1ArwriWKsZh7hNPGNcCP/iDP+j/7yeeeIIzZ86wf/9+/vzP/5yf/umfruLM1oiuGFec6p8VagQpJZlMBtu2feuEdxFJJBJ8+9vfRilFNBoNXRRD+L5dpRRXr15lbm6Ozs5OnnrqqdCqEpWoGC8uLjI9PU08Hufs2bMbvoMPWinCwFvM99prr5FOp+nu7l63KPbGK3duYbyHMASRYgjEX4DdBjKLIPB5NRyEHcNMeZ+LLKglq8QSDmY2i5HJfRaFCZgIFUNIA8OOIJwGIAZEMNL/ASP5ebAuQxnd8+LxODt27ODEiROcO3eOZ555hi1btmDbNteuXePb3/42Fy9e5Pbt22QymY3ukrJ52D3GQda66M1LQTh+/Dhnz57lzJkzbN++nWQySW9vL9/85jfp6+tjbGyMZDJZ1r72zl+1IIxrKZUibCtFKpXKqxiXQ2dnJ6ZpMjExkffziYmJUP3BbW1tHDlyhMuXL4c25qYgN/GfdfCFL3yBrq4u6urqOHPmDK+//nrJ1168eJEf/dEf9VOxXnjhhWWv+cQnPuGnM3n/HDt2bH2TK5OHvmLsWScsy1qWTeyJy6tXr3L48GE6Ojr47ne/W5F5hFmFzWaz9PX1kUwm6ejooLW1NdQLYpjC2PM+37hxg4aGBp544onQPMGwtnbYKzE1NYWUks7OzrLi4lbjfmvwobCBT2Bk68CxUGYEIq5Q9QWyAqHMnB3CyzR2ClZx2CgEZspCma0gbYSTzL0uCsrGyEpk3ZIINjN/ipn8LwjZTrb9UxA/WtachRA0NTXR1NTE5OQkO3bsoL6+Pi9rt7GxMc/LWqnKXS2I0lqYgzeP9X5/wmo0UkvCuFa8zhB+9Xo9zT1isRinTp3ilVde4Ud+5Ef8eb3yyit88IMfDG1uCwsLXLlyhX/2z/5ZaGNuBiL3f5uxnbXyoKSJPNTCeCXrRDqd5sKFCywuLvq+3FQqheM4FbnAhGWlmJ6epre3l7a2Nrq7uxkcHKz4Qrn1YlkWfX19LCwscOjQIaampkJtQAAbr9QFo9iA0O5U7zuPsf3vMZx7buMOFcVwFFIYYCr8NArbcKsMpgMqJ3Rzv5OYmEjAAFWPcFJEZ2Zw4oEV8EKAUAhpgRNxx/F+pUA4c9RN/SzZ9k8i60t7FEsRTD4A9/PnPaK/dOmS/4g+GAsX5ve82qK0loRxtRuNeOevWtgftWalCNtjvJ4M4w996EO85z3v4ZlnnuHZZ5/lhRdeIJlM+ikVP/VTP8Xu3bv51Kc+BbjFoIGBAf9/37p1i56eHpqamnjkkUcA+IVf+AXe+c53sn//fsbHx/n4xz+OaZq8613vCundbhKKzbE5rOPy9KCkiTy0wnilts6Tk5NcuHCBzs5Onn76af/uxDthVOICs1ErRbC6ffToUfbu3VuxVtNhjDk7O+ufuLq7u5mammJycjKkGS41xtjIPINRbCdPnuR73/texePfKsl6t6fsVzHsV8BI58Su+5zNsE2kiLg/BwwHBNL9mbIJGoiljGOqLEJkEdLMJbUpjEUHVSTUxcgKZPDnMpduYaSITX+YbOuHkE3/eEPvPRqNsm3bNr+SkUqlfKHs3QgVxsKtl1qwUtRCbm+lF72V22jEu+mphZuFh8FKsVZ+/Md/nMnJST72sY9x584dnnrqKb7yla/4C/Ju3LiRt8/Gx8d5+umn/f/+7Gc/y2c/+1ne9ra38bWvfQ2Amzdv8q53vYupqSm2bt3K933f9/Haa6/5sZD3DZvsMZ6bm8v7cTweL/oU5kFKE3nohHFhNnFhW+dLly4xNjbGiRMn2L17d97feicM27ZDjw8yTRPLstb1t5lMhr6+vrzqtke12jeXQinF2NgYw8PDHDp0iAMHDoQiYkvNc72CpDCKzduH96swXu+clUpiyM+Dkcr9xMCNZwNwMKxGZCztdoG2c5ViVZ97jQMIhIpi2llERLpCWRh+NcJQCulEUGa+f1goC+zokl1DKYSTRBEBwyY2+1ls+zZ2279Y1/sqRvARfbEIsbq6urzK41o9+9UWYLUgAje7Uluq0cjdu3dRSvGNb3yDtra2qjcaqSVhHOZc1mOl8PjgBz9Y0jrhiV2Prq6uVc+nf/qnf7queTzs7N27N++/P/7xj/OJT3xi2esepDSRh0oYe9nExfxl3kIOgO7u7qJfZk8YVyJv2DRN0un0mv9uamqKvr4+2tvb86rbwXFrRRjbtk1/fz+JRIJTp07R0dGRN2YluumtdZ6lotiCUW1hcL9UjI3Mx8G8G3is5uSlTCBSGNkYMmohpOc1joFIAybCAkQWYQgUBgJJvnVNYaQEjnd+CyZYWCAj/stc0S1juSXDikjy/0U4d7A6fiXXZCQ8CiPEbNv2K49Xr171K49eNbmlpWVFQVELFeNaEMbVToPwGo00NjYyOzvLyZMn/XbG1Ww0UgtWCi8uM2yP8XqsFJrSbHaDj7GxMVpaWvyfF6sWV5JqpIk8FMI42Na5mHVifHycgYEBdu/ezdGjR0uetD1rQrHWxRtlrZVdpRRXrlxhdHQ0zzpRbNz1VqJLEcwcLvdCOz8/T09PD/F4nO7u7mVfrkpYPtYqPleKYqtU/Fu5rw1je2vGuQ3iDXxVLAzXIrE0as5LrDAycSB3Y6dAEAXHAhl1zzKmA8o93SihlrSxUIhMFtEQRRV87fKqxlKAiIMUKNWKEG57aTP9VcTkXbKdnwdj5QruRvZjJBKhs7OTzs5OIL/F8YULF5BS0tbW5gvlhoaGvO3ViiithTlA9avn3vfYW5xZzUYjtWKl8M6/lcgx1ty/eLnxq/EgpYk88MJ4pQV2tm0zODjI3bt3eeKJJ4qumiykEhm+ax03aJ04c+bMih/aSlkpoPwL7a1btxgYGKCrq4tHHnmkpICvphc6mUxy/vx5P4C+ULhXIv6t1ivGRvqPUTFc8QtABBwHIXL/LSK46RMglLefYxiZJCqaW5CHcGW1ACVjwGJ+uUMod411WqCK6FrDrkOaGUTWtWkII4rILKJi3s2ewMgOEL/9fpRxDKfucZz2f7RsnLD3dbDFsZeMkEgk/GSEaDSa50+uFVFa7TnUShpEMftCsacEs7OzFW00Umou1SB4jQyLVCqV92RQEwKKdS2MW9d21sCDlCbyQAvjYFvnwirx3Nwcvb29xGIxzp07V3Z/+Eo14ih33KmpKXp7e9myZUtR60SxcSshOGH1E7rjOAwODjIxMcFTTz214iKHalaMJyYmuHDhAnv27CkZxVYtYZxOp+nt7cW2bV9ktba2rvnitWZBpBTCeRWFCcpGOFGEqgc1CyqGimbJi0GXBjjNCJVy49qUgRIqTwSrXMWYgo53IDAWs8jGJhDeuDkRbi8gVDQgzgWQBTsGkSyg3Ii3zC3I3CRifgVrcRBr14fX9n43QDAZYd++fTiO4wuqGzduMDAwQDweRynF9PQ0ra2tVXl0XkvCuBbmsdp3KBKJVLzRiDeXWrBSOI7jPxUNi414jDUlUML9ZzO2s0YelDSRB1IYr9TWOeghPXDgAIcOHVrTSdo0zapYKYKtko8dO8aePXvKmnclBGc5XutUKkVPTw9CCLq7u1f16lVi8d1qY3pRbGNjYzz22GMrPu6phjCenp6mp6eHLVu20NraSiKRoL+/HynlsrSE1T4La61Qi+wrCOYQ2TiGsnArw/PuL7MZVCQSELgRRDaKkc6g6ky3smtHUFELJeylE6w3R6GW/Ma4vxZKYCzWIWMGOPOgluw/RlYtS9QUUrn9Q7xfWOQ0tiSy8BW4bWLt/IVl+2AzME3TPzbgnvCvXr3KvXv3GBwcxLKsvFi4zVrwVQvCuFbaMK9nHl6jke3bt6OUYnFx0RfKY2NjKKXy/MmFdppS86ilinHYAj2ZTOp2y2FTw53vHpQ0kQdOGCulSKXcFfSGYeSJ4mw2S39/P3Nzc8sWf5VLNawU6XSavr6+dbVKrkSF29ufpcb1KrCrebaDVGrxXakxvSi2bDbLc889t+oCkbCTM1YSqkoprl+/zsjICEePHmXXrl3Yts2uXbvyGhpMTk4yMjJCPB5ny5Yt/iPeMMLPjcxfgKrDUHO46tMEv9OdgZERyDoHiCPsLMLJgszlFBfiRNwsNyP4eTHwz7zCBGViLMyjminyCE+5/mQRvCG1wYlDJAPKAMtybRsqDiiis38JwsTaUTo0frOIxWK0trayuLjIU089lRcLF1zw5Qnlcp9erZVaEcbVngNs3Ne7UqORe/fu3beNRiohjHXFOGRq1Erh8SCkiTxQwtjLJn711Vc5fvx43h3F9PQ0fX19tLS00N3dve5FFJttpbh37x59fX10dnZy8uTJNYueSlkUiolEL+7u5s2bq1ZgN2OepcYsjGIrd5+G6QsuNZbjOFy8eJGpqSl/AWDwc1GsoYEnsryc1paWlry0BO94lT13mcBwLqOMGH5JVphLdgZDIByFyLSAOev+TAFY+KHEwsYLMvY6KAkju3Sy9SLbhIly4ghnEWFGMNJFLsxKgB2BaEGkm3RQEnCiS933pEI4FhiC6Mx/dsXx9n9V9VSI4KKzxsZGGhsb2bNnD1JKvyHF+Pg4w8PD1NfX+8evra0ttC5PtVCtrZXqaNj7YqONRmrFShH2PFKplE6lCJsatlI8KDwQwrgwmzh4wgmmNxw5coR9+/ZtqGJRKWFcKOKklFy+fJnr169z/Phxdu/eva55V0JwwvIKdzqdpqenB8dxOHv27JqrBF51N+yuWEFBVCqKbb3jhTk3cC8i58+fxzRNzp49W1bl0DTNZWkJ09PT/uNdwK9Wlfs5MBb/GLBBKrdQDCgCdgZVj3AsDGsGWZ/rUKdcCa2cSO5vJEJGUIaDVxkWwkZJAyEkCIFSMYRtIwJJFyJjQWFhTQmEpYosznPAqUNYS/tRKAelYiAEQmWIJv7cFfU8W9Z7rxSlPteGYdDW1kZbWxsHDx7Etm3/RmdkZIR0Op13o7NeH+tKc9hMamEOUHmBXm6jkXJW+28WlUjH0KkUFUAL44pz3wvjwmxiIYQvXr2FS9lsdtX0hnLZjIpxcN5rtU6sNG6YBAX3vXv36O3tZdu2bZw4cWJdVYew49AK57hSFFu5VFIYe/tw586dHDt2LO8C5d0wlENdXR27du3ybRde1eru3btkMhlee+01X2S1t7cX3deG9S1A5ny+7jyE5/lVMUQ6CxEQQmGkBbLRbcABIBwblRtSOCbKcFxxrMD9f5HcvxsRdsLbG0v7BYFyYmBmlyakBMJycov38veDUBZkDXeeIoJSICyBEo7738Igmvhz9kfvIkR4K6PXQzmCMBKJ5DWkKPSxAnmxcOX4yz1qQZTWQvc9bx6bWbku1WjE6/b5zW9+0z+u7e3tVWk0EnbFWCmlPcYVYLNzjB9G7lthHMwm9k743okkEomQSCQYHBxk27ZtnDp1KrTHkZUUmo7jMDk5SV9fH1u3bg1l3pWqGHvzHRkZ4dq1axw/fpw9e/ase7ywF7d5Y3on55Wi2NYyXtgeY6UUo6OjXLlyZcP7sNg2vPip9vZ2+vv7OXToENPT01y6dMlfVe/5k5uamhDWawh1F4gghEQpw7U9ADgKIbMIEfNtFYIsIh3HVaQGyICg9VdvKBw7TsTMgqgDZxGsVGCi+K8DhciYqIbgr3MvcCLgd8gTrvCVdQhpgpoHrKWhnAYwFnyLxZ7o35GcbYSW90F881vArvdzXV9fT319vX+j4+Xs3r171/eXB290VurGVwtWilqYA1RfoHtxf83NzX7DI6/RyOjoaFUajVTKSqErxiGjK8YV574UxoXZxEFRLKUkmUwyNTXFY489xq5du0LddqUrsD09PaEKpErNVwjB0NAQtm1vuKoN+RXjsDAMg5mZGQYHB9m7dy+HDx/e0EU57AWCjuPQ09PD7OzsslbeYeN9R4JVq1Qq5dsuvEVgJw/+R1rrLRDRnMg03cVtdtZLJMZNHg74nu1srkWdicBCySgYdt5iOZWNorL1RDIOstlBmWLp14UCZVFCQBj7/UWyChUzgBhI242Rsy3IKojmjyHsNMSE/8eGcmjJ/hUMfxUV68Juezt25w9DpIHNIIxqrRDCD9vv6urCcRz/8fzo6KjfIrVUrF+tVIxrRRjXwjw8MVoLjUYqtfhOe4xDpsYX3z0I3HfCeKVs4oWFBXp7e7Esi71794YuiqEyQtOzTgChC6RKVIwTiQTpdJq6ujqeffbZcFIQQhbG3g3S9PQ0TzzxRCidd8K0UjiOw8TEBM3NzRtaDLoWCufurar3F4HN3qbZueSGS5BxBe58BKNeIiKBvzWi+F3ucC0VwjHAlK7XWBq5LnYKYUdRERtjMk6dPQcihrDrcdrTOd+yWFYxNqTCcaJgevYN4Ypny4SsA0agKm0bCMuBZYVSiaQFg9nADgCRFhiLI5hzl4lO/HcWH/9DMDanxWnYotQ0zbyc3Uwmw/T0NIlEgosXL2Lbdp7totpVUqgNcQ61I4xrqdFI2B7jbDZLNpvVVoqwUWxOXJsWxrXPStnEsNRdbe/evX5QeSUwTZNMJhPaeEHrxOzsbOiPzMIUxkoprl27xuXLl4nH4+zfvz80i0qYcWjBKLb9+/eH1o4yLGF89+5dxsfHaWxs5JlnntmUC/Rq3wfDMOiI/w/MjAXUge2g0gKcLCKVRUkDKUxETIBhLivyIgWYnuVB+mcWoUxINhPJ2GCCQGLOKFQ0jopmcoY5b5+qpRCMrImqt3I/jaOcLELZqEwU6gPC2BGgJEpFESK/9blwpGuRzo2p7DjCtlGROIIsRuY28ZFfI3P019e0L9fDZqRixOPxvG583o1hIpHg6tWrgHsz5KVerNdStBFqQZx786gVYbyaqN2sRiNhWymSySSArhiHjbZSVJz7Qhiv1tZ5YGCAe/fu+d3VhoeHK9KEA8KrGHvNJW7cuMGJEyfYtWsX4+PjFWnGIaXccKXGsiwuXLjA3Nwcp0+fZmhoqCK5wxt9/8Eoti1btoRaid2oMA42adm6dSvRaHTTLs6rzl0uYma+jHAibte7rOEugDMbXEFqKBQ22IpMJkOkUeZuZnKBbEotnUj9RXsCZUeITC5iez7lXKc7c9LB7oxCPIMSwQYeuTmmFdTjVpjTNsLzNNughAFeC2rva26bEC0QxiqDknGE6d7ICs/WLFVuTaHAnPsu0Vv/L9buf7rmfboWNrtSKoTwH8/v27cPKSW9vb0opbh58yaDg4M0NjbmxcJtRmRYLXmMayUirRYajXhzqYQw1h7jkNFWiopT88LYyyYuViWenZ2lt7eX+vp6uru7/XirSCQSalU3SBjCeHFx0W/ze/bsWf+OerXud+shjLSHubk5zp8/T1NTk//Yv5otnItRLIrtwoULoXuW1zueZVn09fWRTCZ57rnnuHPnDul0evU/3CTMhS8irCn3P5wYvuI0HJSdq+gDCEFdnYGy48hoFiUVEoV0HMAkElW5ZIl6wEJYFkZWYRCsChsIBcZ8DBXPLFWMA8deOAbKbnTVbDCnzcm6zT5wq8bClkv/LrRTKAehBBjgZGJEpHItGdJGGREEruCO3v5TnKbHkK1PhbU7i1LNSqlhGESjUT9n17KsolXHYCxcJeZbSxXjlRYqbuY8aqHRCLjX2jCfIiSTSRoaGmriRkijWQs1L4yllEXbOnudwQ4ePMjBgwfzTraVWnAWxth3797lwoULbN++nePHj+eJ1UrM2zspraca4FWXhoaGlu3nzWzIsRqlotjCbjO9XuE+Pz/P+fPnaWxs5OzZs0SjUe7evVv2WGEIiRXnrhTm4qs5y0HUtSCIpUQJVBQCNgUhMog07uI2Q7iVBdNAWQ7SVEglUGmJ0WAjrDqUEq7AxkD4zmKFSAuUHQ1YKXJbFLl845RANZJXuRAIpFOPMLOA4VZ/AaREqQgi2B1PKTAEyqnDSBc8QZIGGLkGJDJD3eVfIfXEf4BoZRZAVrvBiDcH77MUjUbZtm0b27Zt86uOnu3ixo0bAHliKiyLVy1VjGtlHmFWaYs1GpmdnSWRSKzYaMSbS5j7xMswroUboQcKbaWoODUvjIUQy9o6X7hwgfn5+ZJ5tKZp1pyVwusKNzY2xqOPPlp0YWAlxKZ30l3ruEGLysmTJ31/m0elqttrnedKUWxhp0isRxjfvn2b/v5+urq6eOSRR/IuErUglgCM5LcRizNuRJrdACK4YM2tBAdeDVhuRJoVg1g2l5wWx8ymUGYcIyuRwnIryYsSbIGIShSGK4JzVgiBQszFUG25yrkwQJpgWYCAjIQCYQxuTrHbobrg9OVEIBJIwhBRUAbKakDZCyjTWNLgjoMyoyC8BiRp6ob/HelHf2d5SkYI1MKis1JzCFYdvYWYXirCnTt3uHTpEnV1dXm2i/VWW2ulYlwrAr0STTWCmKbpHzco3Wiko6ODdDodqh9Yt4OuDEoKlKz8d2gztlGr3BfC2DuRTk1N0dfXR1tbG+fOnSt5co5EIjVVMV5cXKSnpwcpZZ51IoyxV2M9i9oWFhbo6enxxWaxDmxhi05vzLXM886dO/T395eMYgszRWKt4wXbYz/55JNs27atonNbjZW2F5n7SwwriczEIZIKtG0Wy4SxEiYCB2UYGGmJjOJWmg3TjWxbVBBxMEwFMoZBNOfntXNpFw7KcTCEBBRiVqJaAREF2wFl43kiDFvi5DzPee/FyqLiBjgGearZVhDJCWKpcs1GYpC0cmkZMthLBCVjCNPx/gNz/iLx/g+TOfIRiHesb0evQLUFYbnivFgqQikx5bUdL1fc1YograWKcS00GpmenmZubo65uTkSiUQojUY8K0W1P/cPHoK8E1lFt/Nwcl8I42B75GPHjrFnz54Vv2y1ZKXwrBM7duzg2LFjKz42q3TzkHIYHx/n4sWL7Nu3b8Xc30pUjMsV8MGFi48//njJ1ImwrRTlCvdsNktvby/pdJrnnnuu6I3QWoRxRS8s0sFID+T+Nzlh6m044i6kMwLHWeSsE8LAcCxkrmqsiLixacRQEdd2IewIwlIIEUEJVxAZwnQrx9LBcWwMR5GdaSZmLLhi2v3Lpc1lYksL7YLYsZwwDsxNmiinHhGIkkMpREahzIibrRxAqGwuCk65ucjCILLwJsb5n8ba+8+wd//va92bJamFpwPrrVpHIpGibccTiYTv4y93sVetVIxrSRhXcxGg12hk586dpFIptm3bhmEYfjb2RhqN6AzjCiHZnLg23fmudkmlUrz55ptraiRRC8JYSsnw8DA3b97kscceY+fOnav+TaW61HnJFCshpWRwcJA7d+4UrXAWUimP8WoCIhjFtlL13RsvzM9BOWJ2dnaW8+fP09raytmzZ0vG2W22OCg1d3PhfyHUIkpEEbKw9bSXneagpECIwHLonCZ1q8Z1YOV+7gT+XkqwhG9N8OschkAoAxGJIKVBbNrCaTdQwkIgMKQb2yaEgBJraIUlvOZ7KBFbqhCLKASDSOyYW3F2RJGsY5WrGrsbUUYEIS2EWiB27UUid79K+tjHoX77Sru2LGrZSrFWCtuOFy72ikajef7kYDJMLVWMq308oPJWirWglKKxsZHOzs5ljUY8S81aGo14HmNNyOhUiopT88LYsixaWlo4evRo2XfWkUikqh7jVCpFb28vUkq6u7vLPjlUuqteKVKpFD09PQghOHv2LA0Nq3cDq8biOy+KraOjg5MnT66aoWwYBpZlrfiatbCaMPaytA8dOsSBAwdWvPCutZodxkW82Nwj8192q6qG7bZYtmMQ8XKCA69XEXcBnle99cSuE4F5A6K5z6203E55QgJZDCeGMrz3KfPGVaIeYadcsSybMAwbhXLXlqhcs5CMgzINv8dHbuNgZYEWlMoinMB3vfDrk3Ff76VXLN8pTq4Cjm/ZEEKijChmcoiG8+/D2v0urH3/dMPe42oLsUqI81KLvaanp7lx4wYDAwN+M4qOjg5s2676foDaqhjXwjxguUjfaKORVCqlK8aVQC++qzi18Y1cgdbWVk6cOLGmx03VrBhPTEzw6quv0traynPPPbemO+ZqWCnu3r3Lq6++SltbG2fOnClLFEN5Vei1UkoYeykkb7zxBgcOHOCJJ54oq7FIJVIpio0npWRgYIChoSGefvrpZSkppcbaTIpuT2YwMkO4KcI5IRqs+AZtFW4rOz9PGEO4GcGWjZFRQM4+Ae6iPMhlT5iAdCvOAWGsRAyRDVge0lH/bwzDwDTM3KJbA2mZSOngOG5CjXRySRlJiZD5n2shLZQKeKKzBggzp3uXr0kQOCiVW7ApbdfmASAFMt2IWhREr/4Z8e/9K7DXHwF5P1sp1oK32OuRRx7h2Wef5fu+7/vYt28flmUxODjI2NiYL6zm5+ertl9qRZBW20oRZLXkIq/RyOHDh/1j60X/DQ0N8Y1vfIPvfe97fPSjH+VrX/sa8/Pz664Yf+ELX6Crq4u6ujrOnDnD66+/XvK1Fy9e5Ed/9Efp6upCCMELL7yw4TFrGk8Yb8Y/Dyk1XzFez4ncE5iVuBB4j/sLT6yedeLWrVs8+uijZVknio29WVaKoE+3XKtHkLCrsd6YhfMsFcVW7nhhXniLjZdOp+np6cFxnLKr7RC+aC+Hwrmbc/8DlIXwKrrKRiiFcqIQkW41VRqIbBQcgWqIIUQGMFBOBMN2ha2BhcospYEIW6Bi5E6uJgiVE6veQr6omzwhAotIFg1oEwSr1F67aFPF/WqyVFGkLVHSwUnHiNSpXCFXLBV07RhEF0EJRFbmWliDcozipQApl35uRFCOjVowwDAQWOCAOTdC7OJnyT75y+ve99WulFbDxhCLxdixYwc7duxAKcXg4CDpdJqZmRmuXbvmdlwM2C6KLfStBLUijGvJSrFWkV6s0cjVq1fp6+vj5ZdfxnEctm3bxu/+7u/yjne8g6NHj5b1HfizP/szPvShD/HSSy9x5swZXnjhBZ5//nmGh4eLWvxSqRQHDx7kx37sx/jX//pfhzJmTSNxO41uxnYeUmrjGxky3pe7EtVXr1IZHDuVSvHaa6+RSCQ4e/bsukQxbJ6VIp1O873vfY/Jycl1z7dSDT6CYyaTSV577TXS6TTd3d1rEsXFxgtjfkFxmUgk+M53vkNDQwPPPfdc2aLYG2szKba9yPxXUKIecHIL7XJWgqxAZFowklGMRYVwsggsRKoBRQRlmxBY4KaEicgG7Qy29wu/0uxVH6RqylVeC0SwEpDNieuCqaqM56OIY0hJxDQxjSiG9KIIlZ93LqVC2jkbnh0HFdhKia+WwEbJXDVZSlTK/Tsce2n+QGTy25jjrxQfpAxqQRhXcw5CCCKRCC0tLTz55JN8//d/P48//jj19fWMj4/zne98h9dee41Lly5x7969itnhoHaEca3MAzbW+c6L/Hvsscf4b//tv3H9+nX+8T/+x+zevZu/+qu/4umnn2bPnj285z3v4b//9/++4lif+9zn+MAHPsD73vc+Tpw4wUsvvURDQwMvv/xy0defPn2az3zmM/zET/xEyQYlax1T83BT8xXj9RAUr+U8cl8LwYYZ0WjUjwzbtWsXx44d29BJrhJJD4XjTk1N0dvbS2dnJ6dOnVr3/qm0x3i1KLZyx6tEXJtSirGxMYaHh/0ue2sVHJtdMQ42xxFCgJPEyI5AriqLWEp4EI4AlWap3zKARNgKphtRTQsgQBLBQIIQGMLJVYcdhJIoJwIIlPQksIGUUYRt5dLfzNz4BuTGUItRRCxNoWgma7rCVXqCG5Amhi0wDOFaQZRXEVdgZZFRhUwLTKWWBL8jUbhxc4E9gxImSjQhRBKZqgfLnY/I+Z2XUi4k0ZE/wOl4Auq2rmn/V1uU1socglVJwzBoa2ujra2NgwcP5mXsjoyMkE6naWlpyevGF5aIrBVBWitWCiklSqnQ5uJdV972trfxyU9+knQ6zauvvspXv/pVhoaGeOc731n077LZLG+++Sa/9Eu/5P/MMAze8Y538J3vfGddc6nEmNVE5xhXnpoXxus5kXsNQSolMoUQWJbF1atXGR8f57HHHisZGbYWKlUx9sa9cuUKV69eLSvybjUqKYyHh4cZGxvb8H6tRI6x4zj09/czOTnJqVOn/OD89YxVTSKz/8X1+ZJ0f+DtJhkFsiia82PPRAxlmxjOHHKhHtW0iC9qESAkyo4jcovwhBVFmY7bRQ+QVgwzkgLh+o+VMnLWhyVhLBYEFDSeUyKGskBmTIyoJ9QVShquLdrrduelWCBQCpSsQ2Td4y/trJuooUA5MYxITpArBdLBbTYyh5T1kMqCGUU4rk1IORGIRXNCWWJkZ4n1/jrZZ19Y82K8ah/zWhDGK9k5CjN2vW5809PTjI2NASyLhavEPDaTWrFSeNedMOcSjGurq6vjB37gB/iBH/iBFf/m3r17OI7D9u35STDbt29naGhoXfOoxJhVRadSVJyaF8brpdIL8Hp6ejBNk+7u7g2doAvHDdu363H9+nWUUpw5c4aWlpYNj1cJYexVYk3TLJn/uxbCnqPjOIyNjVFXV1ey8Um5VLtibC78LzBiID1hnPMfSCencxdzlgbhLnSzbDdxAjDsjFtZFSr/5BmMRLOVq3mV+3NT5pIuCqKKlch1ozNwEyTsQLSXiKGybiMQ7ChEc4vflHJbOgM40bxud+57BRwT08H1CQsT25Guf3pBQkMW15Ms8oSiWowUVJNBKDuXl2y7UxcmRvI25tDLOMd/evUd7439kCy+W421xKTV19eze/dudu/ejVLKjw67e/cuIyMjfnSY51FeSze+WqoY18o8gFCr18lksqx4Vc0a0akUFee+EMbrqfxVKrLt9u3b2LZNZ2cnTzzxRKgnNdM0SafTq79wDXiPJj0f7HpbuRYStuhMJBJMTk768wzDAhOm+JyamuLevXs0NjZy5syZDR/3qgoUO4FhXV9aYSAiriB2YkA25ze2UTQgnGyu+YUJhuX7dEU2g6I+dwbJ7eOgppQWqDqUNF0Ls+GKWiHylbG3F5S71A61GEMIhSICto3XdU9lDfB6CyiFcnJC3zYQRT4qynKf7HjjCMAU+EJZoXK2GLfirWQUtQhmHe6+CI4lI26cXW7bwlogevNvEGYD9pF3lbXLa0GU1soc1vPdEULQ0tJCS0sLXV1dOI7jn9tGR0fp7+/P68bX2tq64nZqSZDWgpXCq1yH+flIpVJrTqXo7OzENE0mJibyfj4xMbHup4eVGFPzYHNfCOP1EHbF2HEchoaGuH37NrFYjD179oR+Yg1TbHoRZyMjIzQ3N9PZ2RmaKIbw5hqcZ0tLC21tbaH5wsPwGCuluHbtGpcvX6a1tZX29vZQjns1WkKD+36is3+OMuoQaiH3SyO3ytnLLzZcy0NKQNQ9xkoYiIgFtglCuiLWFhBhKYZNgJJRhGEhMJCpBoSTAWm6nmQZxTQLvpO5Tnq+YF6Mo+K2+3fuht1/W8F9pRBSuBVcCygo3CsEymkDewHPJ61837JCqTjCyOTtEycdA8tBRqWbwWxGMHBcua5st0odEA1CpoiM/v/AiGE/8qOr7v9aEKW10NQirDmYpsmWLVvYsmUL4Db+8WwXFy9exLbtPNtFY2Nj3vGuFStFrQj0Slg6FhYW1vzULxaLcerUKV555RV+5Ed+BHD30SuvvMIHP/jBdc2jEmNWFV0xrjhaGJdBMpmkp6cHwzDo7u7m/PnzFYtVC2POlmXR39/P7OwszzzzDOPj45vejKMcCqPY7ty5E7oneCNztG2b/v5+EokEp0+fZnx8PLT5bbYw9lBKYcx9m7w2cMEWoyKCcgyEnUWYgfnlBKwigsgJaIGDcmJ+NRgDsCIQd9xKcdoCIye6TVz7Q8TC9WooPzHCc2xgRGFBogzprgXE+wUgVV7lVsrcIjpb4bd1xrVf4EjUfBZlRDEKhTiAY+bl8QghMDJRMBTCiANZpAKZa2YikEgRxRTW0nyQYEaJjvwhyojgHPzhNRyF6lAL4rxSgjQej/utjZVSJJNJXyhfvXqVSCSSV02GcP2066WWPMZhVq69Y7CeHOMPfehDvOc97+GZZ57h2Wef5YUXXiCZTPK+970PgJ/6qZ9i9+7dfOpTnwLcxXUDAwP+/7516xY9PT00NTXxyCOPlDXmfYUSmxPXpoVxbbMeEWGaZihWitu3b9Pf38+ePXs4evSo23wgpLELCSOVYm5ujp6eHurr6+nu7iYWizExMVFzwjiZTHL+/HlisRjd3d3E43Hu3r0bapV/IxXjVCrFW2+9RTQa9ed3+/bt0PZjtSrGZKYwZmcRYhEVi0PcQjlRdwGbEwXHcf83gHBQVh0imkb43eqMpTQ1wwarecn7awCWiYqauUVtCkTgGKic6VhF3KpssFKsTJSVO/bZKNTlvPaBk7OyYoi4nZuaZ1LGbdxhKFfc576XKisganhOjIACB2yZd1+gnJgrsAFUBGFYmIaBUJ7lAqStEKb0F/kJBMKZQxn1xIa/RMaIIrt+qOT+rxVRWu05bEbVWghBU1MTTU1N7Nu3Dyml37FtbGzMF1FXr16ls7NzWce2zaSWrBRhz2O9HuMf//EfZ3Jyko997GPcuXOHp556iq985Sv+4rkbN27k3UyMj4/z9NNP+//92c9+ls9+9rO87W1v42tf+1pZY95PBIJ2Kr6dh5X7Qhivh0gksiGR5TgOg4ODTExM8OSTT+aFgFei61sY4968eZPBwUEOHDjAoUOH/AvQZjXjKJdSUWyVaOG8njlOTk7S29vL7t27/Zshb35hCfdqVYxjd/8aYVlgCkTaQGUbQWRckQuurUIF9pkvXL2Od9KvLgvDQS0q8NaemibMA7GcgMRdVSek7clq9/8rc8mziwIRRzlqyW9sRXx7hApWLSwTvJhS78+FiXQaMOR04F0KlJW7GYh5byPwnpT0o+UAVCaw4M8WbnCGtFGGQOQcFIYAjAggc41G3P1gCUVUOcQGXyQrIsj9/6Dkvq+2KK0FYVyNORiG4dsqDh06xMLCAq+//rqfgJPJZGhtbc2LhdusOdZKxbgSAj2VSq17YfoHP/jBkjYHT+x6dHV1lXUuXWnM+wvBsrD3im3n4aT638gKsRFbwsLCAq+99hrz8/N0d3cv64xTqYrxeufsOA4XLlzg0qVLPP300zzyyCN5J/ZKJHSsRyRKKRkaGqK/v5/HHnssT3RC+EkNa60YK6W4cuUKPT09nDhxguPHjy+b3/1qpfA+D9HEa2BKcBy3uurEEBmJ18hCGfkXR2FmUCrii2URKbhxMU1Utg4wUNJdxOf+NyDc1s9urprAV9RqKTNZGQ0oyyYYbyEzgX1OsGLseURN3PzhGMpWkMqfk3KibiXZVoFx8j3CygmI4WTgAmA7+BeEvFV9CkXMjW0TBoZhYpgGMbGIQxTp2JgX/h/GX/uP3L59m0wmv320TqVYmkO1haAnAI8fP87Zs2c5c+YM27ZtY25ujvPnz/Otb32L/v5+xsfHWVxcrNg8inVQrRZhC3TPSqFTKSqA3MR/1sGD0M77vqgYr7ct9HrE6/j4OBcvXmTv3r0cOXKk6Mmikh3q1jquZ0nwHvkXixCrdDOOcshkMvT29pLNZktGsYU9z7UIbdu26evrY35+vmSkXTWEsVKKkZERbt++TXt7O1u2bFlzNJWHobIY2ZtuRdcdHVhECMdt6Vy3SNEqgWoCZnITlygV9e0WyhSIbBQVccBxvcfKMhFxctXmXDtmGVny++aq0JImyLopLCJwFha2QEkDYcj8x3mWK+AVDW5751x8HHb+flR2bt84yhXhwltAaCK8yrfjLhxUdl3+BUCBe1p0/cSudST37FKqJWtGbtYABu0gFxDCoWvqzxnK2nzb3k9TU5NfhayFhW+1IIxrQQgG5+B1bGtoaGDPnj1IKf1YuNu3bzM8PExdXV1eLFxYi4O97/+DaKXIZDLYtq2FcSWo4cV3D0o77/tCGK+HtYrXlawTxcauBSuF539eScRDZYTxWuaaSCTo6emho6ODkydPlrywhN2prtzxFhYWOH/+PHV1dZw9e5ZYLFb0dWHux3KEsWVZ9Pb2+ieP+fl5RkdHuXjxot8RbMuWLWU9+hVCsFv0IwzLjyNTKo7b4Q4EWWSmAeqzy/5Wgduy2VvgRgTheRkMYF6hooJccLDbIQ/cirHKxbBJA0zbTagAFDFU1kEITywH96tAWXFEfLlQl6oNtZjN/7GUrj0jN5a0li7wSkYRple9DfxR7twgM4EbDCFARHCow1AzYOeyj8G1mAhQZgNCWO7/ViCzbZBJI0yR63US4bjzN+w/+W+4F93H9PQ0g4ODZDIZkskkQgi2bNlCQ0PDpovUWhDGtTCHlcS5YRi0trbS2trKgQMHsG2bRCJBIpHgypUrLC4u5sXCtbS0rFvoV6KpxnoJWxgnk24++kaz6DVFqGFhHGy9DfDSSy/x5S9/mZdffpmPfOQjy15/+vRpTp8+DVD09+sZMwweWGEciUTK9qsuLCzQ09NDJBKhu7ub+vr6FV9fbSuFZ0kYHx/niSeeWHUBQaWsFKuJxGAU25EjR9i3b9+KF8VqVIwnJibo6+tj3759HDlyZMX5bWbFeGFhgbfeesvPTVZK+Zmb6XSa6elppqamGBsbQwjhX6g7OjqIx+NFx9xuDLri1dsnkShCLglhgzQyG1tqmKGAdAOmYaGyDdCUccWt4TX2MFCOREiJWqxD1KcBA6FslGO6QtpW7llGeTaIqNtxz0mCiiFMB+V30PNQqGwU4otLJ2dhgDKRcxIM07c++39hxxDR3GNva0loSCeCaebbGvxtOHFIR1GGcKvBtgM4KJmGutx8TNPdXwpQEpURiIiNUgKZagLbFQBOpBXTmHer2FaG+p4X2f6Of8/27cdRSvkNgbyUhGg0mnfMwoxSLEWtiNJqz2Etdo5IJJLXjc/77k1PT3Pr1i2klH4kXHt7+5pueLxz04MqjL1qvCZkNlkYz83N5f04Ho8XvcY8SO287wthvF4rRTnNMm7dusXAwAD79u3LWwi22tiV6FBXjpVicXGRnp4elFJld92rlJXCywMtdnwKo9ja29s3fZ4rVYw9i8L169d5/PHHywp63yxhPDExwYULF/zPpFKKbHZJwNbV1bFr1y527drlP/qdmpryF182NTWxZcuWvEYHAmg177gCEye3+Cy/OqxEBGE5YETc9s+WcBfmqQgQRcyZqIYIIuKAbaKk6XbIQyAyEtHo4J9SrDhEs2Bb7o+k6/GVTgOGmMutbvBSKgL+Y3fnoDICvKewIuKu/ZMOyjCLNvTAMf2kCRXUwfbSAjy39G26/yiFPR9DZJZ/39w21rncY2Hmzw0LJUEuNvkJGO7fOChpu+2kcRDZGaLf/HWsd3zW7TRomrS3t7N3714cx/FTEq5fv87FixfX1JxiPXiftWqLsFrwGG/ETxv87imlWFhYYHp6msnJSS5fvpx3w9Pe3l7y6RMs3SRUe394cwlbGAezozXhoZTIX5Rcwe0A7N27N+/nH//4x/nEJz6x7PUPUjvv+0IYr4fVqqSO4zAwMMDdu3d56qmn/IpAuWOH3aHOG1dKWVJsTk5O0tfXx44dOzh27FjZJ7JKCWMofkL1KvDBKLZyCHvxXanxstksfX19pFIpzp49W/bjvkoLY2/x3+joaJ5YX2mbwUe/Bw8eJJvN5jU6cByH9vZ29tTdZIe56ApiXDsEBe2PEQZCWMhkPYbptYQGlJPT0xKRBFnfgLIzbnOPiA1EEEqisnF3DCVdn3FMIaQNuEkXUppua+k65XqE/awKAwOZ111apXO5yUYjylpaACVslR8Z52EJqMstzAu8LW8BniSC4Yjce85tNxNFUKKaLKMII4tC5W1LIHEWWxB2/o2xyCYhYoBjo4RAmFHEwhjmm7+H88zPua/JfadN0/TFE+Q3p+jv78+rQnZ0dFBfX79hgeF9hqotVGrBYxyWOBdC0NzcTHNzM/v37/e78SUSibwbHu9Ytra25p0rayWRAsKfy8LCghbGlWIDC+PWvB1gbGwsb81Nudfz+5kHVhiv1BLaE27RaJRz584VXbC2EpVafOedNAvFppSSy5cvc/36dR599FF27dq15nErYaUoNtdSUWzljlnpirG38ry5uZmzZ8+u6RF2mMK9UBjbts2FCxeYm5vjueeeW/eilVgsxo4dO9ixY4df0ZqamiI6/grCtJG249ZCzQyiaEi8wBBZlFOHMNO5iqmTi3OLu00wFiwcWYfRmnEX42EikKh01M0lVhLh2O7PlEQRd8u4tlpaCKeigSg4b4FcYD5K4MgWVKrA8ywlZCOunSNI7vOt7MIKXcTdvpN2C9Sm4Qd0ypSBUeIc7zYTybrjek3zAKUirugXhU+MFCrajLBmQSmUbUGkDnP066htj6NUa/ENsbw5RbAKOTIyQjwe958ArHfxV60I41qxc1RCkBZ24wvepA4ODmJZFm1tbf5xrIWbBA/HcUIVPOtpB62pTbxW7KvxILXzvi+E8XqtFMXEoPe4ef/+/TzyyCPrOjFVMpUC8v1eXppDJpNZU3WzcNxKVoy9f1+6dImbN2/y+OOPrys4PezFd5749C7GXuLIwYMHOXjw4Jo/V2HOLyiMvWSReDy+4uK/9WzDq2jVT0/g2Ibr5nWiKMNCyFzL41zTClSuoYdIu13lEDlvb050RushnXKj26ylDnjKMBBSYlg2UkTclE0lUSoGwkBm48Ai0o5gRnM3q9JAGN7Cu3yPsTKjKOmg5mVeXw7/97YJ0QJhqtyFdsrOndKMiPso0HJwMoFOd4YJju2mW6SBeKG/OTdcLrUCpcCMuH8DyHSdn2ixDKvgnGCnUSqG+ebLxHb9U4ToLPJH+RSrQiYSCaanp/3FX97CS2/xVzmf41oRxrXgMd4sQVp4k5pKpXyhPDo66t9o3759e8W1AZtB2B7jhYWFqiwwfRhQUqA2ofPdWrfxILXzvi+E8XooFK+2bTMwMMDk5OSarROrjR0WwYoxwPT0NL29vaumOaxGmI0pPLwTnpQyL4rt7Nmz664UVKJiDO5Jf2RkhFu3bm3o2FfCSuE1E9mzZ8+KySIbInkd4dwF5UagGREBkRg4Wf/9OFKBJTHUYk4o2+DUuYv1FCCiKCuD8LyqwkFmmjCimUA+sHIXvuWur8pp9L3BxHA9yYa1tHgk1/3OjXggl/xgotIKpERmIhjx5U99pG1iRKwigjmKkvUooVyR6ne6iyz5jHM/lFYcECgVQYjlSRzCdiDulYqF/7cyKdxqdVGfcwaiEZCBOQuFyCxw6Mafc2/Px4sdnRUxTZPOzk46O11RHVz8NTY2BuDH+HV0dJR8+lUrwrgWPMbVEOdCCBobG2lsbGTv3r1IKRkbG+P69evcunWLwcFBGhsbfdtFW1tbaLFw5VAJj7FOpHj4eFDaeT/QwtizUszPz/ue1/VYJ4qNXQlh7C3EsG2bK1eucPXqVY4ePcrevXs3dCKvRLycN9dEIsHw8PCGxTtUJpUC4I033sC27Q2Jdm+8MCvaUkp6enrKssd4217P5yA68dc58ZcTgmYWRdRta5wbT5jugjshMiipULmMY2VHMYwIWNL13Mo4wrAQkSxy3oQOwFRLvt6chxlhuskSKoPKtelwnRMK6bg2CmHY4AjfWyyNekRmkSUPsILY8verLAPqCo6DYSJlPXLOcfOLg66MgEb2NiazXr6y6bpFlm8ll9ecRSmJAGS23h1AKhRGXvYy4GYki3qW2vKBwEKJKA3WPVqu/Q3sfn+xjZVN4eKvubm5vMzd+vr6vMVfntipFWH8MFWMV8IwDBoaGqirq+OZZ57Bsiw/Fu7SpUt+Nz5PKJf7ZGC9VMpjrKkANRzX9qC0874vhPF6Tgiex9izTnR1dXHo0KFQvvyVEsbgnjAvXrxIOp3m2WefpbW1tDdxLWOGLYy9C21/fz9Hjx5dNYqtHMJefDc/Pw+4j2OeeeaZDVdgwhLGjuMwPDwMUPYx3og301x4C4SBoWw3Kg3bzzJeGr8ew1iAgFhWSmHZ9URULq5HCJQy3IKwcBC2g8rUu530/HFwRbEjECqNEgJD2rkVzp4qjbg2CkFOqJso5UA2Z4/wEtoc19KQ/66Fu9BOKtceYZgoZbiL+uwM2MtVbr4wzll/0rlOf3Kpwr387yKISM5nbAiclLn0HogARTKfHZm7DQh8TgwDHGi99bc4yXdC4/qfVgURQhTN3J2ens4TV1u2bPGrd9UUpZ6tqdqitBaEsTcP78YlGo2ybds2Pz9/cXGx6JOB4ILMMAnbSqE9xpVjs1Mp1sqD0M77vhDG68W2bb9NsvcoMgwqJYxnZ2f9Knd3d3do2aaelSKshS+2bfur5x977DH27NkTwizD9fDevHnTf0Rz4sSJUB5LhnGDsbi4yPnz5/3jUM6ihg1hzWJkbiBFK85CCjNioOrawEjmFtS5CGe5UBBmHTEnhVJ1bpVZKaSZQTpubJpCIRYiGG3pQHVB4CzmFq4ZCpmJYRgSmREYEQtlOciMhXIM7IktmFsyYFqYsaz7GtNBZuxcZBrIeYjElva5lCYy7aAc6Ypa6WYPI9wECuVIfx7+v6QDtgER5apkw/D6mqBs/Ji3QpSXPicEjmhHeQvxAlkVy75NUrp2CmfJAy3IIhEYziLiO5/HfsevrnTE1k1h5m7Q03rt2jUABgYGVs27rhS1VLWuBWG8UpW2vr6e3bt3s3v3bpRSfje+iYkJLl26RDwez3sysNFrRSVyjLWVokLUcMX4QeGBFMaedcLL+t2odaKQsIWxUoobN25w6dIlotEohw4dCjXwP/g4daMXpWAUWzweD7UqEIbwlFIyODjInTt3OHnyJG+88UZIs9t4xXh6eprz58+zY8cODh48yNe//vWKr9I3b/9PmANwwDHceLWsgXAEyqiDqABDIsT80h8JA6UiOUeAQlkGQrhSMGLaOJkowpQox4KMxIlaGFkDMHBSaVQ2QqRZgqOQFoioQmUNRNR2bRBSYk81oDIG6bEm4nsSEJEoqVy/heP46+FkxkBFAhXprIG0BXbSxIzn+4ydReHqXnP5Z0imDYwGC6XAXoygLMetgDugYjLnqwYQboXXiACm6612HJyFGMpOLW0rbWJGDffa4R0/IVzbtIzk1hN64lghhYmBRExfQlz6n6gj/2Ajh7Usgq2OFxYWeP3116mvr8/Luw5mJ1e6NXGtZCnXijAudx5CCD8ZoKurC9u2/Vi40dFR+vv7aWlpyYuFW+v7q8TiOy2MK4Qi74FURbfzkPJACWOlFDdv3mRoaIh9+/YxOjpakQUMYQpjr/qaSCQ4deoUAwMDFU2Q2MgFoTCK7Vvf+lboi+U2Ml46neb8+fP+DZH3uHEz2zgXI3jjc+zYMfbu3es37AjTs1wMc/J7bp8K5biL0hSuR1Yqd5GYpdzotZiFiDgoaYIjgQxKGQghESKFsxDBqHeFnrJACIVh2m6jj2QcB4VAIUzH7Z6nclYHhKsbXQWJdKIIQyKT9SDBkCbOfCORessVmJ7Q9KLcbHNJeCqBbcfdBArHBGETPHsr23RXUhcTxrbhv9RJx3IXl1xsWza3oM63e9huKocA23abfMi5lBtF583P+0wFxiHnzFbSxIgqwESYJigLQ9igBELaRC7+Kdb+sxBfXyTfevDWBHiJLJZllYwS6+joqEgGrfc91BXjpXmsR4xGIpG8BZnBHGwvuzwYC1fOsQx78V0qlar807CHFKUCp5wKb+dh5b4QxuWcSL1Oa1NTU5w8eZL29nZGR0dxHCd0cbxaI45ymZ+f5/z589TX1/uNMCqxUM474a13X5SKYgs77WIjHuPp6Wl6enrYunUrJ06c8N9zpSLWykVKycWLF7l3715eB8Cgj7cSSMvGunmXuqkhpAThZDEjjmsdkJIlv69w84qzCnuxHrOuWMMLclm+bvc6EZcgBEbMQWYiCNvAEQaRSAYRlTh+zI9yvycyJzqVAkdgOzG3mpz7mZOIwlY3/9gXmv4iOTd3WCkz17bZLZdIy6CwohEUv4Uox1sU6CZSCE8DS4WTjWDGraV9Qm5BoHIrzcqKgO24jTu8UrYQKEMijFxqRbByjHBj4WzL7YYnBEqYSKKYWAgrifnq/4Pz9n9XxpEMh8JzVTQaZfv27Wzfvj0vSmxqaqpiLat1xTifsBa8FeZgJ5NJ/1heuXKFSCSSdyyLxUGGvfgumUyyc+fO0MbTBNBWiopzXwhjWFmUzM3N0dPTQ319PefOnfO9c0KIisaqbUR0e62ou7q6eOSRR/K6YlUyWm2tZDIZenp6sCxrWapDpRpyrOWGI1iNLZbgEeaCvrW+X6+CDXD27Nk8S89ahPFq+0JZDtk702TH7pG5NUX25j2siRkamq/T+lTazb1E5Jpv5Lc4lspEoFAqgoHESdVhNmZy212amxG3cVJxzMYsRszCScYQMYUjTTfCLWNAbg2hAKQVxayzvDwKhHCrqZYVQWRzi0eUG9MmhIGTLBEzZhtIJ+ILUiVzi+YcI7elpTlKu0hHPH8gkNJw98Wiygla/LE8F8UyHNNtK50bY6kboCvOjWh+1dqdYwol5VJ2MgbOYgyIoJqaMVQK495F5I3XUfueLTXjUFnpO1UYJVapltW1UjGuhQWAUBmBLoSgqamJpqYm9u3b5x/LRCLB2NgYAwMDNDU15cXCeQWOSrSE1lSCTRLGpc+mDzz3jTAuhlKKsbExhoeHOXDgAIcOHco76a7U/W4jbEQYO47D4OAgExMTRTN1K5U5vJ5xE4kEPT09dHR0cOrUqWXvNezqtneRKFcYO47jPyUIVmMLx6xGxXhmZobz58/T2dmZV8EOjgXlV4z919sO2dsJsrfukRm7R/bWFNbETGDR2RKtnTddAWkoMF2BqgKpEyiBdCIYwvKFp2FI7Lk4ZlMmTxi7c3Cj0kRU5jSpgXQMTMNhKaZNQEQgs3WY9RYiKlzPrWnjZGKYQmJbMaQUvtAUKOz5OJHmzNIYwq0SS2kirQhmLOfXVUbuOBgBb29ugo7pTiPw2VEY7kVEOihpIDMxCj9aShp+hbgQmXZvHJaijANjy4hr5yj4O2EoHMvEiDo4mShYriUFaaFmMzhCoKL1mK/9PlbnoxgNlRcQa7nZrFTLam8O1RbGUspNzQheaR6V9nUHj+WhQ4fIZrN+csnQ0BCWZfmWh8XFRerq6kI5PnrxXQXRFeOKU/2zwzoJenNPnjzpt+EMUsm84fVUo5PJJD09PZimmeeBDVIJK8Vax1VKcf36dUZGRjhy5EjJKLZKNeQop5KSSqU4f/48pmkuq8ZWao7lCmNvcdPhw4fZv39/0X1XjjBWjiRze5r0jbukrk+QvTmFNZFA2Su8H9Mg0tKA0RClYctUbhyBiDjgZ/Ca7qIzyyiwEOSGiFrY801EW5cW5Ml0DOEInGQjotlCRCXKERgRd6GcEI6bgxxxUEpC1sx5myVONoIRc18fachi2SZLsXDue3HmY0Sa3AxjpVSuIuxaKmTGxIzmPNkOOUsGKKl8S4RSAmULhMz9vfJsFW6raaFApiM4ixH39ULkBK9XtQ7u+KU9YqejROuy5CvnXM5ywJESOLC530Wwkg2YZMBwXysMt2oulEJkU9jTJosv/lvmYu+g7uAO4gd2UHdgG0Z9+GkRG7F9hdWyuhYyjGttHpst0GOxWJ6FZnFxkcnJSWZmZrhw4QKGYeTd9Kx34bqOa6sctdr57kHivhHGQVEStE543txiVFIYr3Vsb+Ha7t27OXr0aEnhV8l20+UIxOANR6kq7FrHXMscYXXLx7179+jt7WXnzp0cO3ZsRRFdiW51pZBSMjQ0xO3bt0verAXHgiVhrBxJ9k6C9NgkmbFJMjfvkb09jbKd3GKLIts1hSuCc0JKLmZxZpPYiQXqs3cxu5IgDaRtYEZtpOMJUlckSSIooQKNKpT/LzOWxpmrw2xO48zHMQwJwu2ap+ZNHNPEiNgYcQu1GHWro8k4kdaU20U696BGmQbSimPGLKRyWzMrO4IQBl4raoErJKUTcyvLtomZE7SAO29fyBhL+05GIeJWmaUVAWEgpbv4LegX9hwX0jZRWa8tX26Bn1Igly808bYms1FU3HHfP56gznUDLPZR8DoJJiNEYtmc8PYW7eFXz90itKK+7h6L0+eZ/fpe+Ho/whBEd7RTd2AH8YPbqTuwHbNp45m1YaWfbKRl9YNsYVgPjuOE1v59PQghaGhoYPv27Vy5coXv+77v82Phgg1jPKG80k1PIbpirLmfuW+EMeT7Sb3V1Sud7IPd78KmXAErpWR4eJhbt27x2GOPsWPHjhVfXwkrRbnjBqPYVrrhCI5ZiU51pcZUSjE6OsqVK1c4fvx4WfnJYc5xpbGy2Sznz5/3O+w1NDSUHEdJReb2FHWjCaZnXsO5PUP29hTKXuH4GDkR3JATwekszmwKO5GERHLZy1u2XssVQwUiIpYqo+BXUo2I5S5oE0UVHkbMwrrXSKTBW5AnIKqw03VERRo7VUe0LYlUhptVnM2dTgyJwMDJxFBOLn4N5aZdKMAWuWqvAkO6eRYSrJkGIltmAwnBrnCVGeFWoRHgKF/EOhkD03TtEtZi3N0WIuf9Xb4vlWOCNMDwstncbQhcf7IRjIUD1wYhc95lb7yAz9i1mogCK57CSUchlwvtdshz8ovNCncRIwozIulou0w63YZtNaOkIjs+TXZ8Gr7t5nBHt7VRd3C7X1WOtJb+bJWiUrGAa2lZHY1Ga6ZSWwvCeDOsFOXgLbwzTZO2tjba2toA8hrGFLvpaW5uLrofvQWAWhhXBpV7QrYZ23lYuW+EsWVZ9PX1MTMzw6lTp3z/20pEIpGKdagrRxgvLi7S29uL4zhltyOulpXizp07XLhwgX379nH48OGyLhybWTG2bZsLFy4wOzu7po6AYS6+K1Uxnp2d5fz587S1tRX1YoNbEV4cGWe+5wqpgRuYTfU0D99ioXl22b5WQhBpacRsjIMQyFQGa2YBeyYJM8tFMLBMODd1TrpjSYkRtSBnL/B8w042ilmf60hX1OpBrnLsuE064lnXi+vZJpRCOLlqq8xZjG1yKRcSpYS7QC/iuIvzlPC3LZXhjm/gVpcdgXJM1GL+tnGbVoM08PrfKRlIcsuaROrcFyvLE7puhTlPGHuF8IyRc27kfhBcgGdHENH8TnZONpaLZgseH08Z52welplbgBf4u1QsT0AH3lBAIOeeFOTi4bbvuMCk84OgDOy5FDK5lA5i3Z3BujvD/Gtut8TolmbiB3dQd8AVy5GO1WPfNqtaW9iyen5+nqmpKW7fvs3s7CxCCC5durSsZfVmUivCOOwkiPVSSqAXNowJ3vTcvHlzRa/5wsICzc1rjyP8whe+wGc+8xnu3LnDk08+yec//3mefbb0AtW/+Iu/4KMf/SjXrl3j8OHDfPrTn+aHfuiH/N+/973v5Y/+6I/y/ub555/nK1/5yprnVjNI4f6zGdt5SLlvhHFvby9SSs6dO1f246dKtm5ebezJyUn6+vrYvn07x48fL/sCYJomlmWt/sI1UkrEBqPYnnjiiTX1H69Eq+lii+WSySTnz5/3K9lrefxYaSvF+Pg4Fy9e5NChQxw4cCCvIqakYvHyOAs9V1i4cA2ZTPu/c5Jp7PZ6lA1mqyeCDeRiBns2hTO7gDO74I5TaKUQEGltwGhw/X9+9TgnnGPxGSIH5l3frWMi4nbe37pVTiPnrZXLLAEKt5opUzGMqI0QEjsTxzAtQBCpX0QuRjFiNtZ8PcLMOQUiBk66DhXJLYyTpttQRAgcy8SM2ShHuP5gpTBQ7hyl+yaVlcshDmYTA0IJlDQQZq7dsjBRUqHsJVEhbdMXokou/e+l0QSOHcMUXuW3MEnCWFYhsVIxkAIrG8WILX0nlRCIXAXbsSNEI0v70FqsQzomwjBwbNeCEWgKiAguDlSejSVCRCzQmv06k/eeAsBsqsNsbnCL5POLOPOLS/OamseammfheyMARNoaqTuw3fUoH9pBdOvym8ZKN5IpRrAxxYEDB7h37x6Dg4MopZa1rO7o6KCpqWlT5lgrwrhW5lFuIkXhTc/CwgJTU1O+1/zrX/86ly9f5u1vfzv8/9n78xhJrvvOF/2cc2LJPWvtql64iaRESaR2iWyOl2ebY9JjvWfCHsEWMJBGGGj+MATYICDDFmR5bAkQ7BnryR4Jj1fvQYZ8ZwTp+j5czpsnWR4O/WhbV22tZHMT96232rMq91jOOe+PE7lVZnVXV1e1mmL/gCa7IyNPnIiMjPzGN76/7xcuWmP89a9/nfvuu4/777+f22+/nc9//vPcfffdPPPMM/2o7OH6zne+wwc/+EE++9nP8v73v5+vfvWr3HvvvfzoRz/i1ltv7a93zz338Fd/9Vf9f1/uxMf9rqs+xgdfrxlg/La3vQ2l1EVdOA8SGO8kTbDW8vzzz/Pyyy/zlre8haNHj+7LuJdak8Y9nxXbbsc8CGA8PObKygqPPfYYx44d441vfONF/5AclCuFtZZnnnmG06dPj7iLWGPpvHCO5qMv0HrsZXSrMz6Qp/Dnq4hzS/hHZtBLm+ityUywBbxqEfLuMbTpJuh6i3SzDZvtie+pLryUKSdU340CcCAsA6IyiDMA3NvKcEkQ2qW3CeHG0dKN1XOMQCIwmI6PP9VxiXZCkzZzeJWma35LLQgno3DOEqnTAltntWYzYGjswCM37Uz+0TKxhwh0ZteWQd3h0zkd+mwSnEQE4TZlAWvRXYUMDL2gDktm+SacXtmS9H91rJYQZ9cave2XSPcOqXVa6v5rAtP1MoLYRVZbYehPQoCLxrO91QGB8AUiFRQKq5TKr9BsXIdudtHNwY2ULIR4lQJIgWl1SbcGn3262aL5yIs0H3kRcKA6d8Mi4Y2L5G85hj9T/okA4+0lpcT3fd70pjcB45HVUsoRv92DAjBXCiC9UuaxF+Z6WGt+/fXX939bVlZW+M//+T+zsrLCv/k3/4b3v//9/Mt/+S/5F//iX1ywke9zn/scH/3oR/nIRz4CwP333883vvENvvzlL/P7v//7Y+v/xV/8Bffccw8f//jHAfj0pz/Ngw8+yBe+8AXuv//+/nphGF5Qwni1rtZwvWaAcRiGFw0YD8qurTf2JKD52GOP0e12ueOOO/b0KOlySSkuZMW2mzpIYDx8g3Hrrbfu2Sx+v6UUxhjiOObkyZN0u12nJ84X+mC4efIldHMyGA7mqmAt8Vqd5NwGXr1LojfIXzNPdNY5SHiVAqqYBwEmSlwz3VYLu7kDuBegyoWB7CJKKE0vAWBTgwycz66zN8ukDImP8uNMXWud5rYH1jL3BdPxkSpr2LMG6cekrRxeMXLbzEeYrucYUZNFIePApPQ1GpBSYLWf6ZsdqLbaw4oASZz1pSmEkPSmp6PQ+R/3PG8BKxRpksdTnTH7iIH1nBoQsQxZuQ25SejYQ0pQXprtr3CMOWBTO0izIwPofTs4uW27A6XE8NKkmeuPa7MwE8cQD916GBdwovw0Y50tkghtPaSwzE4/jyldR9wukm41+1sw7Yi4PZBXyHyAqhYQMnvKsNnqb0Q3u3RfOEd0bp3af/tncjcdRr9xARH+ZCmg7W4Qw5HVxhjq9Xr/Mf1BRlZfSYD0StEYX+o8lFL8wi/8Ar/wC79Aq9XiyJEj/PZv/zbf+973+NCHPkStVuPnfu7n+OIXv8iNN9449v44jvnhD3/IH/zBH/SXSSm56667OHHixMRtnjhxgvvuu29k2d13380DDzwwsuzhhx/m0KFDTE9P84u/+It85jOfOW9j9JVeWcboZdnO67VeM8B4L3U5GeONjQ1OnjzJ9PQ073znO/dsw3PQrhS7tWLb7ZgH4bkcxzE/+tGPaLVae77B6NV+Msa9H9MTJ05QLpV45+INtP/uUVYeexldn8D4KoU/X0EgSNa2iJc2tq0gEDkfBOSuPUS8vImut9H1yUywxeKVC8hSDiElNkqc7GLoPcprE7yp7ohP7fSxNlUYHWLT1MkSMr2vyG2zarNDf9HSScyG2FC/EJFEefxCy4E963TKup3DSpB+gulK0m44pOsVffYWCzpW2DQFYTFa9vrr6KXembZCBVG2TGBMxkx3LUYNAXg3IjrNAkaG73223QtbKzFaYGKJ9gTK6zXNDbHpwtJ3qgDXQNfbVDrh2aWQIAxS9G46MlZbuKcGQBasQqbvzrYhMn2gzRh9nJzFWA8hEkBT0f/M0tYdyDBATRURnnLgt9bsz8l0YkxnoImWoYeaKiE858msN5roNWe313nuHOmPT1EQho0VKL3vjQSL0xPPsYOs8+mcpZT9xq+Djqy+6o4xWvsN0NvtNtZaPvzhD/Pbv/3bWGt56qmnePDBB3cEpGtra2itx6R8CwsLPP300xPfs7S0NHH9paWl/r/vuecefv3Xf50bbriBF154gU984hP8yq/8CidOnLgibkr2VFc1xgderxlgvJeL4EHpdXtja+2akF5++WWef/75SwaacDAsLAyOxcmTJ3dlxbabklIeyPF94oknqFQqHD9+/JKjaPfzeK6uruKttZlvR+TPnWZp64fjKynpZBJCkKxukSzVxueUC/BmymgbY7sJ8RnHFvvzVdJNg00cslOlPKqUAynR3Zh0qzWmNx0ty9Sx0whl0XEeE0mUThBYpDMAxlpQvoZUYBpZQmROI4d0yDZV4FnnZtZX6bo2MaVi5/rgGWQYYRNJ2vYRQYKf02gLph0OtLypchpb45LnHEPr9Ly29z2R0vkPZ+DSSuXArTV9EYg1KrNhGy0T+4yiYgCZ6XwHgFZHvhtH9/yNrXO6GNL/mtTJPax1f6ev2si02mq4oW8AlE2i0JHfB8Uik0hYIfpubSPvM3aEybYIFyGNBgxh0KCQO0O7exSzvDnYq8BzQNn3MN3IOZJkINxEKWa5RnB0juTsBl61gDddIl1vYCJ3AySilPq3n6L+7acIr52n9L43Unz7Dcjw0uOed1MXI+fYKbJ6Y2NjLLJ6enr6ovoOrhRAeqW4Uuz3PJrNJlLKvnRCCMFb3/pW3vrWt+7bNnZbv/Vbv9X/+2233cbb3vY2brzxRh5++GF+6Zd+6bLPZ1+q52xzObbzOq3XDDDeSyml6Ha7F15xj2P3LLrq9Trvfe97+zY3lzruQTDGWmteeeUVSqXSrqzYdlP7DeLPnTtHFEUcPnyYt73tbfvmu3qpc+y8vMzL//N7NB97ielWjF+poIenpiT+XBUhBclafSIYFmGAP1vGJinJWp347DqqEWELgx8k000Ij85hkoRkrY5udtDNzo4+xrKUwyvlQQlsnKLrbUqll9GdgLSh8AoxDtAOWtBcY5rBopA98BpJdCcETyCChLSVx8t1Jl4XpZc6WzalEcqSNF3znU0DEInrLtMC6xukyfS6ODBqIuWkHcZirOg7nVmRXemtwGhF2lL4QZIxFj0LiowB31Ym9bJtZHINenIRhQrTvo43jb2MIe55Ig8U1hl9i44F0rMOROthWwlcwp+37TzKxtGJ524mekxxD3jrITmxACsVwppxExALiq4D31IilGVq+hXi+GbSzU42FzBxilnZGmzeV3izJUTgYeIEIWX/JqvXiCmUJFicRjdbsDI4L6NXV4leXaX2379H4W3XU3rvG8ldP97gtJ+112CN/Y6svlKA8ZXiSrHf8+jFQV/MZz03N4dSiuXl5ZHly8vLO+qDFxcXL2p9gDe84Q3Mzc3x/PPPv4aBce9adxm28zqtn3pgfFAaY601y8vLTE9PX7RTwvnqIIDx0tISa2trVKtV3vOe9+zbRXC/pBTGGJ577jlOnTpFLpfj8OHD+9YotFcpRffVVZqPvkDj0Repn1nBGEM5n6dFBjaFJJifQijhXAKWJ4DhwMefq2BTTbK6RZzpiEfmV8oRzladS8VmE91oo8oFhO9howEbL4shqpR3j8pjja63Mc0u8VCDFiLFE11M23NP+iU4cKdwvmrQA4H90In+cXIOEaYVQCwhFNn7B2URTj4QpKStIirfRfoRWInpBNnQFqk1veA5F8PsGGadeA6sZhIDIexgStajhyRN14cgGdG4CXAxy6NHDx1Lpw0eYmDBuVT0Y6SxmMgBaJOOrofosdhg8UHEJN0g0xAPjacVyo4+HXENiM63WPVkEoL+cRi9s8iYYqxjnsUQ8LZkMdICKSwYgRIdSvEjbIk3482XEYGPjROSjabzgwZs4s4rb6qI1QZrLMHRWdKtFiY7L3rBMSZJoBAQHJ0h3Wj2ZRgmSmh+/zma33+OYGHKscjvuhFV3Fvi2flqvwDppUZWXynA+EqZx35LKZrN5kU7jARBwLvf/W4eeugh7r33XsAdn4ceeoiPfexjE99z/PhxHnroIX73d3+3v+zBBx/k+PHjO27n9OnTrK+v77ln5Uqoqxrjg6/XDDDeC1A6CB9jay2nTp1ieXmZSqXCu971rn3t9t5P3e6wFdvc3BzFYnFfL8T7wRgPN7LdcccdPPbYY/seGrLb8bqn11wD3aMvkW7U0drQbreRUlIqFbFCkJYD/MUZ9GaTZGUCGPY9B4a16TPD20uW8njVItZEmGaXqDsKuHSjjb84gzdXwbYj0nob3YpGvG23l8qHVObPIIxwgM0buB9YaxzIszZrxsMBs6HT1lqFTS0myeHl2uh2gFAGmRuem0N91kpkGJG2A7xCTBrlQLj4ZFTmfKFDrEycg4XwQMQZWy0wVvSDRqzIdLaYLJEPF8TR296w/V2SyRt6zW0WQGYWb2IwxWx/ht9rUjem3X4q2MFzSZtmHh2RnxnW0R8jNeD17xTE4OYCSRoXkEGbgWDalczAspNq97aTWeGlCqmGJiMA6Zr8rHWOIMX8ORqta0lWB+sJJfFmy8hcgIlT8D3S5Ro2A8u61QUhnJxHSuLVzT6TLToJ8ZkNl663MAVYkpWtPoCPlzfZ+O/fo/a3P6Tw1mspvfdmcjcf2bfr20Fpey82svpKAaRXipTiIDTG5ws42qnuu+8+PvzhD/Oe97yH973vfXz+85+n1Wr1XSo+9KEPcfToUT772c8C8Du/8zv8/M//PH/+53/Or/7qr/K1r32NH/zgB3zpS18CHED/4z/+Y37jN36DxcVFXnjhBX7v936Pm266ibvvvnvf9vey11WN8YHXawYY76X2m31N05Qnn3ySjY2Nvpfjflsg7ZcrxXYrttOnT+/7TcKlAuNeMEa1WuX48eN4nncgaXoXYoxbT77CxoOPgDZESzXQmiRJ6XTa+EFA5ZoFhO+RrNfxVurEbCDl0Ofes18zznEiPre9yQ5EIcSfLmM6MelGnbjZQbZiyA9+kLzpErKQQ2+1SJY2EL6HN1UcabICkDkfVclY5VQ73XE7oiBedLICY1GhA7Q9T2IEaK3wZEoPnPUbuYwcADrjzhHla6wVpM08XqmbSR6EA7nWAVgZGOdaEVhMLLAd53tM6mEigcr3HB/ISOsMOGaA2BqNEAYhBb1Yamvpxzb3/Y0zmYSOPWTeMfb9Sgw2lQN2t/c/PRD3WiPpa1+syKj0YT7YrWutk2CYJLNxGxpPJKIvaRgshNSEmAgIyNKohoC8FZBYlOeCVIQUWCERtmc7lzUcaichMSmIQDviWVjwfObmn2el9k5snGb7ZUjWG6AkwcIU6foW/sJU1pzX6m2YZNVJLmQ+wJspkaxtwmZ2ThhLkmmXVTFETZVGWeZU0zr5Eq2TL+HNlCi952ZK773Z2QZeQl0Oy7jdRFZbazlz5gyLi4sjkdWXs3qN0D+NAH0vUgqA3/zN32R1dZVPfepTLC0t8Y53vINvfetb/Qa7V199deR43XnnnXz1q1/lk5/8JJ/4xCe4+eabeeCBB/oexkopHnvsMb7yla+wubnJkSNH+OVf/mU+/elPv6a9jK/6GB98/dQD4/2SUjSbTR555BHCMOTOO+/k7NmzbG5u7svYw7UfYH6SFdtBNMpdCog/c+YMTz311Fgwxn66SFxovPazZ9j42x/QfWWgU5OFHB2laG11qV63iN9J+yBjZJie/RqWeNXZr41tOx/iTZcwUUK63iBur21bQyAqeYLpKrrRdq4DtWb/VZukJBsNwuvmidtd9+C+2UW3I0x3a9tYmrCQzVPIIRnFAICJjOXsqWutlQMGVQBIZKCHNLgWL0hI6zlUMXL2xkOUq5QpaTfEK3QxLR+bKkQ+hWRURiAyiYHMwi2MCBEmRXrWgWIFQmdAMrN0c2yx5xjlPvPtOR3z6BF0zIbc9iNsoGcTl3Rzzjmid6RiiRxqpLNZPLME4nZ+zJqtf4CGE+yyZXHDw2rbd6Iga7hz83UhJLbHcmvIdBMk7QDrq34aoMg+FR37rrFRaYSJ8UyNgGX09HXIQohNNSZOEdZFRwP9/3szJWQuIFnbwsZu/0wnJj6zAXGMreQJ5qZJVuv9+HHditAtZ8Hnz1cRShKvbvXlGulGk83/8Qhb//NRcm88Svl9byT/5msQ6uIB3V41xpdS2yOrO50OJ06coNvtcvLkSWAQWT0zM3NBr939qt5180oAxlrrPbsoTaqelGIv9bGPfWxH6cTDDz88tuwDH/gAH/jAByaun8/n+bu/+7s9zeNKLps5C12O7bxe6zUDjH+SUopeutl1113HTTfd1M+VPwj3iEthTM9nxXYQ2uW9zNUYw9NPP825c+d45zvf2f/BupQxL3aOnZeW2fjb79N5/uzIcmstDR2RNrrMTE/jCUXaHVinCaXQ1RBvvoqttSbYrznHCX+2jIlSkvXJUgpVKeKV89RfjTBbHeL2du0q+HNVZOiTrNfZeuYU7aLCq3VQSuF5Hp6nkFIhAg+vWqCYfzHTCUuk1ENgcsh4oR+T7EI7nCuD6LO4OlF4Ydx74t8vL5eQdnIgDF4+GgWORhFtVJF5g+kq/MBgOk4mYBIvi0s2WO00y0nHx6aJUw2QuU70YpqtcKytliSdwIFGPQCiOmGMxtCJwmgPOUjdcASw7skmXLBHJmp2bmnGQ4400vV22JI2/X7k9EgZy8iB6YHf1B89WBnz3D/ORg6eWmTHOmoW3fy83pxtr0fQfYZGYaxAeimplkwVX2C5Ng01iX94GtuOkNMl/HlFslbvY/V0o5l9zorg8Awmdjdk/T2sd4mTGjLw8I/MYNqZ/3G2Qp9lzvl4i9OYZqcfJGKNpfP0aTpPn0aVcpTefROl971xYsreTnUlSBh6TOEtt9xCEAQjkdXPPPMM+Xx+xO3ioKQOvWvST6OUotVq7RkYX62rdSXUawYY76UuFQxqrXn66af7j3V66Wa9sQ+isW/YBu5ibgbSNOWJJ57Y0YrtcqTUXah68o40TV0wxgQd2kFIKXrjRafXWP/b79P+8anx9WbL1Nc3kOsx5UIB6h1SBP5h1+AjLCTrdVQtItGbqCHGbLvjRHRmAhguF/CqBXQza7KrtxDtBHKZbMCCP1tB5gPSjQbp2hbGOJsqsEwlPt4bryFqtIiNph1FqCjB74LX7jJ77fPON9eCyg3OSyejyACan2S2Z4KBxdlwg5nsvcn9J2sQM1YifY3AkjSK+GUHpnQUIE0KCuKGB6SkLR+sQCpN0g0I/BSkII1CvFyETXzHPCvHFiMtUtkskln245x16uMFyTbMORy04WQLWocYq5AMNSFmGNRohVQaHXv9F5wVmwB/FP1a6Vh0k4Yob9uTlQxUm1Qhe2DWgkmlk4mAc/mQjpm3vQ8Ui9bg9cNTLDr2+wy3oAfencTCGpHdLGislegkcHpgv0OxukJSfEufHTaZ84kq5VDVArrWQmcBIDbRfTmPVy0gS3ni0yuQXQtNnA5Y5ukSMh+QrNX7cg0zZCHozZSROZ9kZWvAMje7bP3DE2z9wxPkbligfPwWCrddf0EW+UpI3xtmardHVqdp2pddHHRkde936Sd9POBggPFeNMZXa3dljciu4Qe/nddrXQXGO1S73ebRRx9FCMGdd95JPp8fG/ug/Ibh4nRfzWaTRx99lCAIdrRiO4gwjosBscPyjltvvXXHfdvPpLr+HNcanPvOg7Qef5nRR+HgzVWIo5jmS2fxfZ9csdgnUYOMndOtLsHC9JBH7W4dJ/JOI9zqktac48TovoKcKhBMVUg3m6Qb9f5rrvGvhfI8ytcu9q3gCvNVvHMbFKyPFoJUaKKoRa6wgTECKwWeyjwVevZlVpDGAZ4cMJRjE0GgvOz8yBwerJCDx/8ZUPZyEUkjjwxTbCwdyBUaaUK0lY4lFikIg9EBELu/Jx7kXIObxAFCYwUoCSZ1YFBnTWrGYroe1kuG5iIcEO2fGhnwjDJwqcZpXhMrZF4772IxACHWKtfo1pcMZ8coVc45Q02+4bXGZ0AnW5J+fLULK+m5W/SOqUvPHoBFqwVJO0BKgzGKHoncG8MiMVZmy7K4bO3MlMvey6y1byA4MjMGUnUza7hbmAIgWdkcsMhbbdhqO2nETBG/VMqY4aypsNaEGghPufM9SUmyYBCAdMP9XfgewZEZTDfuM9My52PihLX/7dv4f/8YM/feQe4NO1tlXQma2vNJGDzPY35+vk+AHGRkdY89/2kFxlcZ44MsJxG7LNt5ndZrBhhfipTiYpmK5eVlHn/8cY4cOcItt9wy8SJ6kAl1sPuL1dLSEo8//jjXXnstN998844/PAcB5HcDjHsuHs888ww333wz11133Xk/i/1kjJO1OuZ/PIF55hytbdpBb6aMUJLm6VWiqEsulycIXNCBf2jKWWENSSWiM2vIYo5ktoAql7GbnYlgWBRCgukyuhORbjSIJ8RDq6kSXilH4+UIs9kibo0218VpSlNpSkdmCSNLurLV10nHZzcIFqeJN+qExRL5fEBRPoNUPTmEQKdZvrLNNMbWImTWvCUG7r0MMZlGS2QwYEptTxPbuxEYllbkE+J6ESl1ltYGfrEDrQAdKWTexUTrrsCWDUKagQexFSDBmABhNQKD9TKpA8LJDqTAaB9kipWyD1xFJk0YdnMwxgORAd3eRLNYZkOI0RarldMAZ1PQscDq7UDaksR5jBajtw1D/0hjifQHxy3t+IPUO+ujGDiBILK0OzMYIG4XUcq42wzj4qCHZRe9psYeQ22RSOVYZuV1yTefoLF54wCkdmIHbLPPsNdQJwtO267rLXSj2ztQiFqLpGNccEy1iK41ByxzqonPORbascw5Fw6SOabYZMAy+wtVZCFHdGrV6ZeBeKnG0v1/S/HtNzD9/vfhVccZw5+Exnh79b5HuwHoBxlZfaU4UsDBNN9dBcYHWFd9jA+8XjPAeC/V+7LvtrmgZ2926tQpbr311vN6HR4UMB5mjM9Xw1Zsb3vb28aiMbfXT0JKobXmqaeeYnV1lXe/+91939ELjXmpzXdJrUntwR9R/96z2HZnBNyoagmZ94nP1eh0OqRpSqFQxPMU3lwVQca4DVWPPTbtGH+9A/ky3lSxz6bJfIg3U3Zs2nqDaKzJDrxqEVXOO+u1zSZ6s4nophA6/+uerrgdd2kvtyjbAL8Rj4I0pQjmK2AtftU5CaS1JrNHn8MxjgovTDIrNIFBIqxBpxKvF/9szEQiQCc+KrNys6hR4GiBIQ2vaxMzGRD3UH7qlvoCaQTa+nikyAzgOj2ve6/AOrAa49aHPivd09Za7fTEfmLcZslkHta6CGg5JP9IJBiLzfUm2tcyYLoWmwWADPTBmQfoBICWtuVQMt54WaOyHsWMvc7YXCyY2GIzbCGEyBb3/EYl3WYOmSXtCchkJIo+BZ7NsXfu925fDM7b2BqPYn6ZVnQMkww13E0XkYUcyerWQArRjojbvYa6CihFdHq5b7+0W5ZZSIG/OO1cWtbqqHyImi6RLNWwegtvxoGfHoMM0Dr5Ep2nT1P9pbdT+dm3jsgrrgTGWGuNEOKiAfp+R1ZfCXrrXh1EwMdurvVX62pdqfWaAsa7sd4arosBxr0u5SRJuPPOOykWz29NdFDAWAhxQdnDdiu2C80VLn/zXafT4dFHHwWcrc5uu70vBcCnjY4DxP/8dP9RMwDWosoFVClHvFQjqZlMuwulUolgroLw1Bgghh57nI6k2aUbTaynyN+wiIkT4rMbxGfGwbAqF1CVQtbE1CLdam1bwyKmigTVMkmtQf3Vc2itKRcKAwZHSYK5CtZCsrZFPDQPb6qI9TS5wia9hjrlR72hBw4SRgGZZVgf9YmBlhiLyPSxxsoMrIn+OPRYW+FAs+6qPog2iYdOPZSnUUEMiUfSyUEICEPa8fFL3QGI9gygnNeytFjl9a3bbI8JEY4dNsZzRLAFYxXWCnTi4QXauVAIAV6A8DxELkVIiTUZa2tAeJ5TUvsCkxrUsHOFGNq/7JgkUa+RTg51LA4+q+EEwrgdbgPXvfzo4WuUg8ZJN4DUyU4ccy0wRoEZPCkQwjHpPVN92/dkEphMh6y8hKnp02zUbx64RtRaUGshPJlJIRyI7e1bslrvn0diuogn/X5D3XaW2Z8ukW610dlTDmssyVINWQwJjs2BNn3tMWSAWEBwZIZ0Y8Aumyih9s0f0PzBc8z82h3kbz7ill8BLOl+gfNLjay+UlLv4GCkFNdcc82+jXe1RutqwMfB12sKGF9s9TRcaZqeVw+2trbGY489xvz8PG95y1t2dZE4KGAM5weHk6zYLnXMvdZOY66vr3Py5EkOHTrEW97ylov6AdjLPHU7ovb3j7L1T09ik2360EKAzXkuXrnRJk017XYb3/coLcwhC8HECGdvruqAwzawLASoQ1V8bem+tOS0mUdm3WNoo/vhHWYoyW5s7JkyMh/CKxGm1qLb6GZAXVAslhBK4h9yAQ3JWp14aXPshlCGPrIQUiw9i1DWsYFW91k/Z0+WhW1Y4ZrapAVh+uv0DDGtFaggdn7Gbi8HgNDSlwdY40Cz7uSQOQfApZeQJgFpLFChxivFJHHghggEOsnhWxdrrSMnCTBpNqfUMacWi5AKBy59BB42tVAsIHUH4SlEYRZqkLtxFtXOmieFwvcqiEIOPxj/HohyEa0KiLN1uo0GuaHmqWC2DDp1QFobLB6qW0YGHjIn3bI0hVS7myzTkz041jlN8tk9hTs27tj1QH2v3HuSVuD020MfoVN8uLGE6I2dSb6GxMfWWpx5iCWNfXyxhBQLeEeuHXGVsKnpSyFUJe+eTgxJIYg1rDVIw9zEhjrTjojao7ZtaTvCK+VIlmrEp9yNnz9XwSZ6cJNnHXstQ5/gyIxr+sv2M1nZYvn/+XcUbruOmfe/74pgjA+Cqd1LZPWVcJPQq4MAxrsha67W3soaGAsqOqDt7KW++MUv8h//439kaWmJt7/97fzn//yfed/73rfj+n/zN3/DH/7hH/Lyyy9z880386d/+qf8q3/1r/qv/9t/+2/5yle+MvKeu+++m29961t7m+Au6qcaGMP5Ldustbzwwgu89NJLvPnNb+bYsWO7Hnev7hEXM/b2ue5kxbabuhzNd8NzvOWWW/bEGlxM853pxmw+/Dib//A4JtoWgpF5CEevLEGzA4UCcRzT7XbJzVQpzk+TLNXQ9VEW15spn5c9NjZGr2whvMxNItVEZ9YIr51HSkX35eUddcWqmEPX25kEo4GIUozyaDa7+L5H+ZpFZOCCRHpM3ugEJMFcFasN6Vqd+OwG89e86B7bC4nM3BSsVqRxHpsAxqCCFNv2+sDO2ow3tg4Ap8ZHBgl+ruNkCsO6V3DgWcg+YHP5GA4EWuuYTJ0EmMSgPAhLLdJ2AWzWoCcEVklSrfBtBMpD+AF+JYcsB6hSAZnLYaWHNR4mdrrq4MZ55OorbibladJmIwvGyKYVlN2+t7oQij5I7b/e6qB3kkYERYjqDpB7CltYRK2koBReeVwfawGrDSqQ6BjY8IDs+88A5FpjexJhnGuGjxAS0IO+R9vzPc5uOJBOmiJU1uA5eM0xyS7SW2LQVlKWz3HmWZz8Z6ZMrlJCbzT63sW63kHXO4OEO2uJTi33P8+xhroRrbJjfFUxRFjbj5ruVbJWR0hBcHQmk29kwDpyT0686ZJzIVkfNPC1H3+F7jNnsLfMwe03T/gwLl9dDgnDbiKrC4UCaZrSbrfHIqsvd13VGL/GanB5OPjtXGR9/etf57777uP+++/n9ttv5/Of/zx33303zzzzDIcOHRpb/zvf+Q4f/OAH+exnP8v73/9+vvrVr3Lvvffyox/9qB/UAnDPPffwV3/1V/1/H3RAy2sKGF+slAJ2ZnZ7UcSdTofbb7+dSqVy0ePCwTwe3D7nC1mx7XbMg2CMrXW6SK11PxXwve99L1NTU3se80I2eCZO2fr2k9T+/iSm3R15TQQ+/nyVZLnmmuMypq/T6RJJw9QbjsJ6cyyQw6sWEbmAZHkSe1xBIEhWNpHNGPIDWYi/MI2NEuJXV926sxWwkG7U+37FaaPT1xWP7IcxRDlDeXGeoGtI17YmHBBFcKiCMYZ0td5nBd1LbcK8e1RuUonQIbpNJpfQmR1YL0TCuUoILP1kYxxbTCTwfINp5dBaIfzU+RVLS08iIHoSgMSxy9Yy4u2rwhSTBqQ6JSy2SVo5pGfQCIwOsIEP+QL+4Tylt9xCenoN5afIUoDI5UF5kGYAM6MqTMeFbriZur+ZaCiYQ+WhZ9MW5CHaxs57OQfMJ5T1coho4AKS6hzQdJZmfgDJ6I2WAISSyJlZCOcItPssrbXYboyVEmFTSLQbI8M5STtwYR1ZyMfAbU7QZ+atcbptm9m9DcVkO+21ye5DBEpYglzKVLlNu1slXtuis1xD+gpvvkogFKKeJdgNJdyRC6CcQ6ViyNYtHdUql/PYWJMsb6Lr7ljqRscl67W7/UY+ayzxmQ1kPsA/XBk5J9PaDvKKOEV87yX082t0fitH/pbdkxD7WT+JBsBJkdWvvPIKnU6H7373u2OR1fsZtnGh6l279/Nmod1uX2WMD7IuU8DHXprvPve5z/HRj360H+N9//33841vfIMvf/nL/P7v//7Y+n/xF3/BPffcw8c//nEAPv3pT/Pggw/yhS98gfvvv7+/XhiGLC7u7Hiz3/WaAsZ7qUl+wz05wtTUFMePH8f3/T2NC/v/GApGmdjtiXt7vVM6KCkFuDk+9thjeJ53SXPsjbnTzY/Vhq0TP6b24CPj1me+R3Boinhlc1Tvay2JsMhqSCURMGRFBbgO/XLeaXe3aYC96RLC90lWRsGyte5xs9V2DEgna3WCwzME18yTrNeJJmmPp0u00gjdkeRjgb/ZHbk5t0IQZI+zkzUHhsekFDmf6fkVkJB2Q0wk8XKxkyaYIUu2jN21QvbjngfhHxJrcYEggJAWT7lH/rqZI9UB0k/wC50+t5l08/hh0sPDA5bWGKSKSZMQnfrk59skySEozOHfPIVd7SLrXUTP1cFoCHKAAZM4VlQMYDA4UD+0x24z3cTplwGLTw8YWz+P2AaMTVBxKXzR6M2TO8bBiIIuaQwdXz8/BowHrxVJ24N5CSEQ+RBRLuKLXgw32CjGdBNsN4fwum4fET3ZsHPSYLtswt0Y9JwsrBCZ24aTxdhM561sQrW4hJi/yaXYGYtOU9LVOq1UY/IeXqWA307xDI6x7sTQTdC5HP6hKgjRb7jzZssIpYhfXUNV8vjzFZKVwU1asryJUJLg6Azx0mZf32w6MXEn7tsWDoeFOHmF595z1skrrAW72Wb5yw9SeMs1zPzfbsebKU8+zgdUP+mmt15k9fT0NFprbr31VjY3N1lfX+9HVlcqlT7jfNCR1QcRNHKVMT7Yutwa43q9PrI8DMOJv/FxHPPDH/6QP/iDP+gvk1Jy1113ceLEiYnbOHHiBPfdd9/IsrvvvpsHHnhgZNnDDz/MoUOHmJ6e5hd/8Rf5zGc+w+zs7F52a1f1Uw+Mh6UUw4/6d2Mddr4atlXb7+oxxru1YttNHZSUAuC73/0uR48e5U1vetMl/+jsBODTRoelrzxIdGYDf66C8JV7JKwUweJ0FqwxCkK1FLSKEq8O5WiIrcPZqvlTJeJzG/1mo16pSgFVyGWNbtsez5dDVLnUTwkbru02b8JTBEfniM/VUOU8qpQj2WxSP72CMQZPCJTvjpcFB4b9TEoxQcohApWBEEOyWicvXkG3A0ykkEE/aWLIFcEivTRDJEOSF0QWJgEIhRcO3ThmmmMhwPMSBBbdLKCNRIYpJhHYXjiGcI1qQgLKQwYBYSFE5OeRmy8i8hEmKWPTAOF1EVpDWHFaaOlBWACVgNUIq12U9dD+miFg3O8jbGayCayzpeuVHG1uAtAmBG8nGdXQe4UiWRucA1YFO/7sGFUgXW2MLbdRDNmDBAGIMIC5a/FNi2AxR+vcyxSkh2l1sFGC7X0XbQ8bZ9IUIZwfco+M1xZjBMLrHRuNUAbRifDWn8IU3oCack1zXrObHTdNWuuSGE2roJBCoXSKzFwwHOi1BEdnEb5PdGqlnzDYk2H4i1PoRgfTythlbYjPbKBKOWdbOCT1SdbqIATB0dlRd4woJT6zgTddRChF51Sn/x1sP3WKzrNnqf7CbVT/L29D+JdHb/uTBsa96rG0SilmZ2f7P/Ldbrcvuzh1ymnpDzKyuvebsF/A2FpLq9WiXL68Nzyvq7rMdm3bJZF/9Ed/xH/4D/9hbPW1tTW01mMOWQsLCzz99NMTN7G0tDRx/aWlpf6/77nnHn7913+dG264gRdeeIFPfOIT/Mqv/AonTpw4MJ3+awoY7wXE9kBmkiQ88cQTbG1tXdKj/uG5HKSX8enTp9nc3NyVFdtuSinVlz3sBwNhreXll18G4KabbuL666+/5DFhssa4++oq5/7qf6AzRrfHCIfXOs1SvLblgEmvPIWuhDRPrZATEjMg5ZBhgD9XIVqqjfkQy1IeL2OPe4+Se6WmisgwQL5wCp0IpD/46gxLLYbLphqbpvjzjvXpvLpCu91GSkmpVKTdbiOmCgTTVdKN5kSw3ZNSWGOzIBHHUHveFkKnGK1ACKRv+hdMi3tcbFKJH8Q48y+nfTWoASMJ6Eji5QfA2GmJe5+FW0tIgxIWUgGpT9qVTmqhFCbnk/oSpMRTCs9TKJtgtUKyjggFuhlnsgwwXgmhDeRLIH1QONSrUweWBYgeo51YUAq0zizdcCgyKELcxHSH/IxRbL9Epm2Qgc8ksVwW2OeGzE33WVAAK/0dgXEa50GPA2PiBPKS4RuQNOo9iXKgV5byqFIBsKSph2icxcYxPUmx1dbpsH3bP/bOXYRMEmQRSrl0PGEoeEt02/OY4aY5TxGvbBJIRQAUjCVNNZ2cTxIq4k4Hr1IkMBJzas2Bs0oeGQYj51+ytJnd2M266PMecM6s3vxDVUwnRjc6/c8lPrOeySums+S9TNNcc99bM1OAeGDBZ1PN5oOP0vzh88z8X2+n8NZrdzjq+1dXCjDeaR65XI4jR45w5MgRrLUHHll9vsCTvVa73b7KGB9kGdG3Xjzw7QCnTp0akZoetL53e/3Wb/1W/++33XYbb3vb27jxxht5+OGH+aVf+qUD2eZrChjvpZRStFotTpw4QaFQ4M477xyzzrmUsfcbGEdRRKPRQCm1ayu23VTvwrcfmug0TXnsscdoNBxAmCSq32ttZ4zr33uG1f/92yP2a9ZCeGyO6NVVMorUgQLfAyHYenWJ5OVNivk8xlriOB5oj1c2x5jlng9xfG5jrHFuWGqhbYtBBxWo6TLSn9yo13e1yJi1JHGhHfmZMsViEVXM0T51DrPZJu6MSn0GUgrlLNomSCkqlSWw0gHZoWCJYbsvodzxcPpVnMTC2iGyIbM8EzBwrxhsRwDIzNPYWnTq4+cTZC5EHH4jXthBpE3nOGE0Ok2J4xhtDEUM0kh8/SRR/QaYdpcaq5VjRP28u1FDIZTv0u+syZjcgZTA+iVEZ2v08/fyiLiJHgpG6QeIDFVSSwgO5SeCXNsdxE2nFIGBjGaETd5WOj7PtSPIDXTOQY60x6qKkf8BAn+uiix2nQyi2SFtaJIt8PyYpBtircbPRUhpnTUduM/SuBRAhFOeVHKnqXff4HTtmUZdhT7eYsXFj2+18TwPz0JYKhJ4edJQES9v0o0ThBB43S6e55E7MottddGtodCPM+sOOOeCUXnFylYmr5h1T1a2ySu8uQpo0wfFAGK9hSjk3FOUs+v9+5V0o8nKVx4i/6ajzPzaHfhzF9fvcTF1pQPj4bockdU9KeB+yjWuulIcbPWdHC/DdoD+OXihmpubQynF8vLyyPLl5eUd9cGLi4sXtT7AG97wBubm5nj++eevAuO9lLWWKIpYW1vjpptu4g1veMO+XgD2Gxj3tM+e53Httdfu68XlYhP1dqqe5jmXy3H8+HH+4R/+Yd8jnG3WDb/2306w9e0nR1fwFOFcdUxHrJtdyPs0zq6RlgKm5xbRGy2MNZjMZWC717ADyxWS5c3x184jtRClHP501blabGMjvekyYggsW+u0V1HUpXxkjlyYQ4Y+6UYD0U1c0xkD3bIMPdK1xgjY7p+ynnLa5kSTY9U1v1k7kFFA1s8lsicDmYxCZI2XPVeJzBLMuSeYrJHOSS/6sck9P15tQEjnFVxdJCinDqilNaxWmMp1yOgsngBPKcIwxBgLugW6g9LrdNs52vmjFLRBNzt4JQ9rFTbtuihnpUBoFz7SD+jI/qryCLZcU1tvsQwRQmGaUX+ZSbadg0EB3YoxOj/GJAPoTgyZ+UTaHgUo5wPGaSQnjgdgVYgga1oL54Ct/rEcXzlznZACefRmvI1NvGuKmOXTiHYXm1hsEhBr98Qj8LP9z25ijFFIqfFMjaDQhemjpOt1TDfJHCLWQQjC6+dBCDo/fhVWGhAEeN2EcKaKKOWIzqyTak0URXReOI0KPLxDU6jNDirTfA/LK0yjMwDOma/xJHlFutaYKK8gcWDbmyo695ee5zLQeeYMZz/3AJWfeyvVX3w7coIF36XWlQKM93IdPojI6v1uvDPGXNUYv04rCALe/e5389BDD3HvvfcC7nx46KGH+NjHPjbxPcePH+ehhx7id3/3d/vLHnzwQY4fP77jdk6fPs36+vp5A9gutX5qgXGapjz11FM0m00WFxe58cYb930b+wWMt1uxbW5uXnL62/babaLe+aoXlX3NNdfwxje+sR9Gst/A2LQizvw/vkH3xXMjr6lyASGFe7Q7VN5MmaTVofnKGkopKonA1Frkrp3HdruwtI5VQ+DEUwQL006acGZUTiFyPv5shXhpc1xqUcxhQ6dzTaLRz93pkkPXnNRjPC10Ox2inGRqYRE226RNx3IK38POl7GpJZibIa01J7tSKOnAsHG64vjsBoG/jpqNM8BlXbJcZp3WA7zWOF9hY3qP3kU/AM72kKexyEBDFmssbC95LWNthUAEAars0tW88iLUzwzmZjVi6wzWL2CKC6jO6ewzFNggj+h0ERKqxXXa8VG01tTPLSHm8pgm5P0YKQLwfIf+e+B96GbDWN+1nsVDcg+jsOGohtF2Exj6fTdBBUgxiZ0MZLsRlBxTHa+ONufZ7SC7tzwsolt6R2CMGjTxppvJhBWGzkFrsSrAhIewK87RRFTzqEoRVSlijUE32ohWh6QtSFMfr6cXxzgmH2ftlus+R/1MgJAe/uJ01sMoXST5Kytue1M5J2HIpqVbEbQicodnMVGCrrex1pCmmnRpk24gsJ4k7GiU8vA8b0heMZOxxBchrzgyQ/u5Vv8ur9eoFxyeRm+1R6KpG997lvjUGlN3v4vw2vmdjvae6krwUob9eXK3H5HV+9083m63sdZe1RgfYNnL5Eqxl23cd999fPjDH+Y973kP73vf+/j85z9Pq9Xqu1R86EMf4ujRo3z2s58F4Hd+53f4+Z//ef78z/+cX/3VX+VrX/saP/jBD/jSl74EOCLuj//4j/mN3/gNFhcXeeGFF/i93/s9brrpJu6+++7929lt9ZoCxrtle5vNJo8++ii+73P48OE9uU7spvYDGA9bsfW0z41GY98dJHoxqHsZ11rLc889xyuvvMJtt9028phjv4GxWd7Cf+BRumL0M/MPTZFutrDxKOAIDs/SOr1Cp9UiCFy3rBCZ1OL0GjpOEN0Y7/o5ROgjpXBOD9sZ4hFXi22AOBc4qcXyJrLecnZevdeKObxq0THLQ7pkYywtUmwlpBIL2NymWS7nEc0mIjVYbUZs50Ya8dbqLoLX9kIgoBic6ze+IYdYVtuTUUi0DlBkCWY2+8/wI30pSZIATw2BQjnQF8tCHlUt9/2aAUjG3R3c8jZis43OzyMCiewuQ5DDtmWmNdbM6+dp+0cJgoCkWKK11KZjt+hEEq9SIMznCKQ3+pzQOhs6ABsNPneTWEQwZNWGC3lhiKTSJgRSTLSz9Z8NCk5CEo2eUybaoWEvrGIaO5/rVnjuVqUwgz4zHuwysg0kpEVoro4s7ZWQEq9agrlZZKONrnfRnRZKahCyb+EG4IWWotogLt5IulHPdO1TrqEtO0Ris40IfMJrFoiXB9KUZHWr7ziRLG/hC4nv++QBnWr0XJFoq0m32UQpiVIe6asxwVTJySuGdcmZvCI8Oku8vDkID+nExJ0NTDlE5vLQHhzv+FzNffeunXOeye2ItNai89xZoldXOfThXyJ30/4xQ1cKY2yM2TdJH+w9snq/7UZ7iaJXpRQHV1cyMP7N3/xNVldX+dSnPsXS0hLveMc7+Na3vtXvk3r11VdHvn933nknX/3qV/nkJz/JJz7xCW6++WYeeOCBvoexUorHHnuMr3zlK2xubnLkyBF++Zd/mU9/+tMHqnV+TQHj3dS5c+d44okn+k4Ozz//PEkyib259LpUYLyTFdtBNvVd7LhxHPPYY4/Rbrc5fvz42COy/QTG9R88R/O//COinbF5WQVHZzPLpwGTaIUgPDxD/cWzxHFEPl/A9z3HBs9ViU474Nv7autWB08IolqTIGNg49UthHBRusna1pj2WPge/qEpkpVh9tixsjIX4M1WnC65NQoYTeixpbuEjZS88Id8g3GMYCEgOldDdDpYKUmWNvDnquBJlzhWa01uxPMlwWxIXtcwWiJEj/EVmfQh25C1YF34xHAC9ODYSay2zkEs7IFp52ShykVkdYJWUUhEd3OHTy5bpVODDujyUaTfgK1VbNex2j5NcmoFK68hnytjvTp+eRabEyQiptXpsNWN8AjxrY/UBgGYyDq5ydA5ZmKN9AdWbYCTWng+pO67nmS41HTSvlvEWKk82vrAqFRGD1nCDVcS+4653gHP9LjpVJSA2tDyCev6VcTmK6ML4/FgGIpVZJQg53ysP49eXsK2Ww5DK+lYex3hRedISkexWfNfsrqJkJLg2CzxuU0AhLbEZ530QRTLJEtued9xophDzg2WK6VQzYQwV0QdW6RzehWdJHQ6HTqdNkp5+AtTeLGBbtIfK+rJK0qDsQBEI8Ikgtw18yRrdbxKHhH46EaH+NU1giMzJJsDTbKJEpa//CDz/+YXKLxlfyKGrxRgfNCR0LuNrD4IfbHneZe9Qev1VC757jIA4z3+rH/sYx/bUTrx8MMPjy37wAc+wAc+8IGJ6+fzef7u7/5ubxO5hPqpAcbGGJ5++mnOnj3L29/+9n5DmFKKTmfCD84+1KUA2PNZse0m5GIvdbEhH/V6nUceeYRyubyj3/N+AGOrDWv/n39m65+ecFG8PSShFMGh6kS5gyrlqT13CmMMxWIJpSSylEd6alRqIcAUfYTySDKpQu/14MgsUknSRmeUNVSKYHFqIrOMpxALVWwzHntNhgFp0afxyhKFICDI5QduGMUcXqVIvLSBrrf6+Q7gJCJ4imS5RnB4ZgQEWiA4NIUVgmR1k6D2BKLqwLBOBTJ0DWvOp9j03+WFzje3F+5hM1bZ4gCwQIxIMGQhxJupDhq9tn9GuSlEe2Pia9tLNJaxQqLjKZTedKBaGAJvi8QWsEn2eDxfxstBoGJKvodOEqJGRNSM6bYj2ukKOWMRC7hEuGxuptVFhxMe1QZFSDcBSDacZMV2Ysj39ml036zwSTvjl0DbiSEnxjpc4o0UE+udgbGxIBXpSnPbC6P/NPkqbP9+KwXtUb9QIEu9y2afdPGuvQ7brKFXE2zd3dghQckY78xj6OnbkIU8ycqmu/k7u4Ys5DB+HhruHNfNLjS7BAtT6PZA+qBbXXRrXBJhk5T0XI3cTAUReKSrdWcJl2ripRptDEwVCJsJnlQoT02WV0hQc+5zk8UcJkrRQ77i8dkNgsVp4pXNLDzGSStW//oh5n7r5yi+4w2TD/xF1E8i4GOneVwugH6+yOrl5WWiKOL73//+iOxir3NrNpsUi8Ur4ubjal2tvdZrChjvdEFrt9ucPHkSay133nknhcIg0vV8kdCXWnsBxsYYnn32WU6fPr2jFZtSiiiKJrz70upiQOzZs2d58sknueGGG7jxxht3PPaXCox1s8vSX/9POs+fBQbQpQ9ytyXUqakSaRRTf+ls3/ZMZK4Uab1Duq1Rzjs0hTi1jJGjy7ez0N5UCVkMsQL0enMMjCMVwZFpWi+dwSxvYcMBOuoxy/VXzhGvdij02Gt6muUq8VKNuLVtzNBHVAvoZqcfWBKfXUf4HuG181hjSdddI56TUhiKRffo3QqB8ES/0W4YTOvUJ8hFfb0x9MBxdoStxRiJymnwffyZzNHjfOXlz//69rIG/BCTBAhrMm9eQSDOEterQAVUAMK4xjtrUUqRCwN8AtLEJ8hPEZ9boxUb0mYTqaRzWEg1Njfe3OOa34CggBl6XO+CRCZ4DxtBUpsQ5GEt+LkRBteGBdKz2XeyNHAmGanUYoqHsOvbgPE2QG4oI802YFwsQ3P8xsN2t93UN7cQ1XnCmQB95gzpet1Zvnmgogi58Sppa8EB0q7TDpt2F9FuIw5No4SH3nLnWrKymUkfZkblFSuj8ore8t77gsVpdL2NbEeZHMCStjVp3qdlDWKr6Wz7lIetNQnnq3jzFZpPvoRZaxArN47MB3jVIulQsE68VMNfcDelPacLayxrX/tHTJRQvv1N48f9Iuogkkpfa/MYjqzO5XKsrq6yuLg4Elk9PT3dX+diIqt7wPhqXa3Xcr2mgPGkWllZ4fHHH+fw4cPccsstY3eqByVL2MvYURTx6KOPkiTJea3YDiK+uTfuheZrjOGZZ57hzJkzvOMd7+h3QO9UlwKMo9NrnPurB0lrQ6BFCHQlxCZ6DOQGizO0z63RbjRH9MQTpRZAeHSO9ivLIx61KEmwMD0GfHWriwh9kpVN/Pmq0w2vbmKNJTzsmuPi02uIRPedJFCSYHGGeHWL2rOvYozus9d4WfDIJMeLzA2j89JZ7Godhkz7ZT6HN10kOuWYPjVV7Dcm5YIVvDByPl3aIv00a6TrNctBD4T1D4XFNWqZnnbXOrmGLZGb85D5XT7y3EMzqMhVHdgTBtO3uRME3afp+u92TLfWWC+zcBPCMdbZMzzf8xBBSHF+jqi5TqpT0jSlE3fonFkjrzWe56GU5xr+Mo1vr/GuP3Vv8j7qWKDrk29ArZ9DDAPjYArIQLTvT0zGs6kh1ecHOzZXwayvo2ZH9R3Cn6D38ANoTmCRt9Zh/lqE7+MvzmKiGL2xBRJCs4G1ZdJVBq4QmVuErTUxYUhwzC2ziXYyirPrqGIOUdpBXjFbHnGciJcyXfDRGRcHbRwB4WnIIZFvupao2yWut4hqm7RqW3ieR1oJoDvUWNmJwVi8mRLpxuBmIlnexJ+vuJ6CzI3EGsv6//s7mCih+nO3nvcYn6+uFMb4oKUUuy1jTL8XZziyemNjg9XVVZ577jnCMGRmZobZ2dkLRlZfjYO+DHWZAz5ej/WaBcbGGJ577jleffVV3vrWt3LkyJGJ602KhN6vuhhg3LNim52d5d3vfvd5Ly4HqTE+H4iNooiTJ08Sx/GuPZT3CowbP3yOla//E3bbZ+Mfnka+eAZbHsg2HMidpfHCWaI4Ip/L4wf+jiBX+B7+TJn4zNpI2p3Mh8hCOOY2ocoFEKIf79yzSvPnpxA5H9OKMJ0egHKyhODILOlmi+6pFVqtNlIKisUS0neAOF1vEJ/eJsPopfT13DD0kGdw4BPMV0eCR0yrg2l1CI/NYT1BafURwGJNJn/wUzJ/tsGBwiI97Xx9pYdJBVZbrJUYKQFFMDNHeOxaRLQCSWN3oDfezoJeuGxxCpEBNKwL4ZCpQXiaUu5J2p0KNjQQqoEnnXC62cH+uEY6IQW+9J2cR3n4qozeWCWOE7TuopQkqXuUtEbrgGFgPOwWMVxpcp6mXDWql0jjgD4wVpOBsY40pj5+nIaPrpZVsKvYTnOMRx6r4hRE45HiALbVhulDUFtxwTOH57HdkOT0Cn7nFOq6dxGttkjOriNzAWa6gG0kA3lFPsSbq5Ccc+e8bnWh1SVYqKLbya7kFfGZDbxqARsoJAIReM7a7WyNfLVALsijSwKdalKtURsdtqZy5BqZt7JSEDnQ689VRqzbktU63mwZ0+xihmROtf/v97GdmKm73zXxuFyoekDwJ11XktZ5mLnuRVaXy2Wuu+46tNYXFVnd8zC+Em4+flrrSm6++2mpn/w38yKq92Xrdrt8//vfZ3V1lePHj+8IiuEnL6XoJcT94Ac/4A1veAO33XbbeUEx7L/Tw27G3dra4sSJEwRBwB133LHru/6Lnas1lrX/doLl//r/GwXFUhEcniVdqo0giV4wx+Zzp4iTmGKxiB/4jlmtFsdBbqWIzAd9kNsL5PBmKiAgXR9l4PxDU5ldVWtkeXB4hmSjQXxqlXSjjqoUCI/NwWwJkYHruN6i2XTNJoVikdyxWWQuJD6zjukOhU8I4fTMgUd8Zq3vrCEAKwXB0TkQuOa/ofNJ5sOMDV/HvPIcfi6zu7Iu9EFkQmUTS5JWjqhRoLtVwMYhaTNPshWgWz42CiAJwOahMo2wHrbewmxE6GYObWbR/lFM4VpM8Rg2fwjrD33+KkREE5jLC5QQAtu7xFgyVhiM8ZF0yMXfx7abkKSZq0ZmETdkJwdgtmPQfAkvzBOGIcVigXK5RBAEpLGm0+mwdGqddqdDHCcYYzHCG5wKQ5XqneUhVox+R6PakDTDmywytsF5LKpExhavrSEKBYTZdt2Y1HgnJl8nrOdjNjehvgXhgGn256fxF2fwigHi1JME1Tz+XAXTjZG1Ft5MEW/azdF0IpLlDbz5Mt7U4LNOVrawnS7h0ZkRR5JkZQvTjgiPziI8hSrnXaR0LsBsthGBR3xmow+c0602ZLp/lTVjCQHVSBAenUHrlHanTbPZpNNo0F6p9fXHvUrXG8h8gMyNAtnNh06y8d++uydLyysFkF4pko4LMde9yOo3vvGN3HHHHRw/fpzDhw/TarU4efIk//RP/8Tjjz/Of/kv/4UXXniBZrO5Zw/jL37xi1x//fXkcjluv/12vve97513/b/5m7/hlltuIZfLcdttt/HNb35z5HVrLZ/61Kc4fPgw+Xyeu+66i+eee25Pc7uSqmfcczn+vF7rJ3+FuMhaX1/nO9/5Dvl8njvuuOOCX8KDlFJcyOUhTVNOnjzJSy+9xHvf+16uu+66Xd1JH9Scdxr39OnTfO973+O6667j7W9/+wWB+3BdDDDWrS5n/5dvsvkPj4+OUczhVQvE59YZTpbzqkWsJ6m9eAZrbSZTUA7kYkk3RnWj/sIUphuPxTkn1RzpVstF5w7VIHxgAHp6Eoz43MYISE0bHdcAttGCQJFUQlrdNrlcSOWGw/jVIvHZDUxr6PG7dfIPr5R34LYTjWxHzJehB5aHm/88RXh0LmPl1sFaisFppEzBSneMjCCq54m28qSdALTM+uY8jLY9jOls+nI5vMNz2ErBHV7lI9qb2UQMtJtQW8OuLGOXVzGrW5haiu4USJlHh9c4wHw+4DepoiYobwCOIfNL1ljr46k6Aa9ie+ePVLiIvqEDCJh0FEBYL8ewO7EQAt/3KedLlEolSqaAkpIkSdxj4XW3rzodjWOJajtf+YdDPmxQIN0cOnfkZECjzQ6AOUPkji22iMI2accOjXc23sEerzTtXk9ixHATohJOG7xYReUUsnWOtNUmWKhicz52s4XebBAcnkHm3FzT9Tppo0VwdAYR9NIJM3lFzsNfnHJDl/P4C1NYY1DTRcjCPXqSjPjMBsHRmdHj0eggrHsvZPc9UqJqXapvOEqxVM70q5Kk22Xz5bM0AkMURf3rVLrZQgQeqjh6zOr/51Os/+//50hS427qSgHGV4qU4mJ9jHuR1bfeeis/+7M/yzve8Q4KhQJf+tKXePe7381nPvMZlpaW+OY3v0mr1brwgFl9/etf57777uOP/uiP+NGPfsTb3/527r77blZWViau/53vfIcPfvCD/Lt/9+945JFHuPfee7n33nt54okn+uv82Z/9GX/5l3/J/fffz3e/+12KxSJ333033e4O36vXSPUY48vx5/VaP/lv5kVUq9XiRz/6ETfffPOumFc4WGB8Pja62Wxy4sQJ4jjmzjvvZGpqatfjXi4phTGGJ598kmeeeYZ3vetd3HDDDRf9CGy3wDg6s86p//v/Qee5MyPLvblqFh07ALnWgr8wTXerSX1pzTGyhSJSikzC0BwBmeDAbLIyDnKDIzN4m90RkIuSBIdn+6CzV8L3CBamxyOjcwHBbCVjpy3J6had02uUD81SvvkYNtYjDUQA3vyUk3MsbfQb63rlL0zjVYrYtWbf5goyZvnoHNLziM6s9ZueBBG5XB0QJG2fqBm6sAYkUvaYWYHJLHwcIAZ8H3VoBu/Q9KgfcbHCrrx4tEY0606LurqC2YzQzGIK12ILCyDO84Pq5SHtOna1d4EdxjDWyTsUa8juOaxU8N5/nYHOrGWwF3O9jTm1Rk2cvm7HEBQQsR1hk3OBa8btdDs0G006nQ5xqmmd7ewIcu3Q6WLDqdHXdmBy482dJVuJzGHW3HklvW3bLJbH6RnPh8bm5MHs4P1mcw0x4xp4+99da8jfchQVNfB0EyEttujhHZsBX5EsbYAxBEdm+08g4nPrCE/iH5lBVQr4i9OoqSLCWsJjs+hmh/jsBvG5GulqHaRAlkZ10Q4cz44s060uNtV9Vro3xfhcjXBxGhU4NrlQKFIqlsi1DWa6QKfTodls0Ol06K7X0cb0AXavmt9/jrX/+vBIXPiF6koBxlfKPC4l4KMXWX3jjTfyj//4j7z44ovcfffdGGP42Mc+xszMDL/4i7/In/7pn/LYY4+dd6zPfe5zfPSjH+UjH/kIb3nLW7j//vspFAp8+ctfnrj+X/zFX3DPPffw8Y9/nDe/+c18+tOf5l3vehdf+MIXAHft+PznP88nP/lJfu3Xfo23ve1t/PVf/zVnz57lgQce2NP+XjklBjrjg/wzKbHzdVI/+W/mRVSpVOLnfu7nuOaaa3YN4A5SY7wTY7y0tMSJEyc4dOgQ73nPey7a0/GgpBTDgLvb7fLd736Xra0t7rzzTmZnZy/w7sm1G2/ktNHh7Jf+FptogsOzhEdnUdNlgqOzWYzt6LPyZCpH89Vl2vUGuVyOfD4HUvRlBcMODChFcHjGgdlhkBv4BPNTfQ1l7yVRCLNAjnGdscyHQxKMbPl0GZQiWdvCGEuSpBhjqV67iGcE0SsrA6nF0Vm8Q1XnkLG6OdpUCHhzFbzZCslybUi64SbWZ5bPrGG6A9Av8znKlRWsMUTNAjZ1YLh3zbIWpzk2gFB4fgxCIqeq+Ifn+syg23m3OeHv4De2Uw0f73YDu7aEWauhuzl0cNSxyf7ok5vev4Xv90GswAxYCDdhBBYvehlsAtVDiMqhAVjNtmvTUdCoE7B6nCm07QgdVEeWCSEIMr1wqViiUMgjpaJpA5r1BvVul24UkaZ6BJsOR0ynyfbjNeGyWag4z+RJZSGypaGTcHTuNihjCrPY0iFsZRFbPYyZvgarJgNwUx89r0xtA3JFhu887OYG+XfcROB1MRtryG6MPbeGn/fwZsrInI/txgQLU/iHZ1DlAlZrkqV1VDnnXFTOrDsP7zNrBAtTI1Z+utlFWIuqFEbmEp9ZHwPHphOjOzG64DP8Yxsv1fBnK86PmYz59zzyHc3Mm66lUCiglCJJEhorG2xt1Ig80Gna39fW4y+z8pWHMMnurvE/Tcl3V9o8ZmZmmJub42d+5md48cUXefLJJ/nX//pfc+LECf7Tf/pPO74vjmN++MMfctddd/WXSSm56667OHHixMT3nDhxYmR9gLvvvru//ksvvcTS0tLIOtVqldtvv33HMV8rdVVKcfD1mmu+u1iQ6XkexhistfveELCd2d2NFdtext2v6gHuWq3GI488wvz8PG95y1su6cJ4IRBvrWXlaw/3WdPe/4PDM677fLaCCH1sqtGtDjLn479whijz3lRKIcMAVc6PJ9IV80h/3NLNqxaxxpKsbo4un6lgOtG4BGOnVL3FGZI1Z1eltaHddv7D3uI0tt4ZSAAAXW+jynnStQb+XCVzq9gEbVBTRWQYjIFuACp5vHJ5LOYaTxEuThOfW0ely1jpITJXCRVoeoEc1mbNd1JgEoFfyeHNVnf0IwYck3sxlbQnL9cJbK46eTBgi3PIfAFhu1iVfU/9sA+C3YQz5wl6fzQCjb98gvTV2+HQDXDaRUv3NMa6OxrDnLYSp3OdtGumCGyOLLO9JDuRhVYohSwdJSl1CYsBpr5JJ+mAtSjPxR+LTkyQbSDaGD0vLHKMSzF+2YH7CWWER9BsQU/2pQc3Pmb6GGL9HOh0oCBRPnghIqxg4yYiHbpxLFaxtW2PqHUKXhm7rYHP1lZQ1QJ+V+A1O8i5Q+hGG5nXoIL+jZss5rBCYDNwGZ9bJzwy44JBsl/HZLnmkiHXGn2XF92KJluuZeDYubFkLilRgoxS1LFZzMZg3WRlC3+uQro1cKDAOvY5d80hN1bPEi7VpFFCywPRGFjCmR+fwv6//geHPnLX6I3ghLpSJAxXEmO8n/PoNd8B3HTTTdx000389m//9nnfs7a2htZ67PdyYWGBp59+euJ7lpaWJq6/tLTUf723bKd1XrN11ZXiwOsn/828yLpYcNsDfQet2e01BK6trXH8+PE9g+Lt4+5nCSHY2NjgBz/4ATfddBO33nrrJbMFF7KW2/rHJ2j/+NTIMlnKk6w3sKkmWdsiPrPmQGMuYHN5nbQaMnXTNQSzVdRMyYVfZOEcvXISDE26OeoCECxMo9tRH4D3Thf/yIzTGXd2oTO2EBydI17acHNMUlqtJl4Q4B+egbXmaAiHlARHMmmGMY5lW9pwEbw3LCKkGmeiqyXkbAm71RkB6k7+MevkFKfXCPRZpNBOpysGj/GdMwUDFlgpwrfcgDc/tSMoFgiskC6hbrclFaI77gE8cfxW3bHJ65uYJMQUrsGWD7sI4+xSM2AhLBjTDxzBJHjf/kvEmX8eHItsZd3ILOqyvdBbEaY7mSGMJ/QI6s6g2bG/XksihCAsFsnnc5RKJQqFIko6hnJzZZ1Wq0VbQ7TeYoSNnZA6lXTkjhSLjsXItkXXAUNbXUBY7YDt8OvVeei2sY1NrJfHBgMJgQ1GGdr+8noN1DbSIE1Q01W8okLJBNFpuGbTTgRxF2/GARjT6iJSjaoOmvDipQ38hWqfzQXn1uLPlhDeYJnpxJhujDc9+sQgPrOeSTX6M0Roi9nq4M9XRtZN1uruiU3oj40R9tlnged55JRP1c9RuWYBT3londJqtVh7/AWe/Y//G8uvnD7vE8IrgTG21l5RwHg/methYHy1DqYs4rL9eb3Wa44xvtjqfenTNL2oprLdjq21ZmNjg5MnT+7Kim03dRBSip7tThRFvOc972F6enpfxhVC7DjX6Mw6698Y7Sy2gAz9MY9i5spsvngG3/OwSYK2NWQxhxASVQjwporYNCXdbOPPZXrfYd9iC+GxuYxVtiPbS6dyxGfWkcOAUUmCQ+NWby5SuuIa4izEUeQs4iplCvNTNE6NNoPIXIAs5sbcMUQhROUCopccO6EqBVS5QNqJ8HIB8bkN7LYmEH9hGtOJB2NZg2/XQEpHulpA6hFADAI1VUZViyjVnej6NVw6VwKzAwM8oWyugujsLvFudEMJYsvtu0kLGFJ8r5M5t0knq0CAsQhpAQkmRZx+Eq8dk9hrhlwpUqjkodOCfBG7bpwH7gSMaNIJSXbdpB993atoNbsRym40BKCURKmAkABrLUEupSmLdDodrAXPU86PN0lH2WohiVfa4O0AdJKhm9zAh6SFLc5guglye8x2aQq7sTz4d6uBzRUgX0J0mtjuhECSXqUaUSxhW0M3i0mELBbQMwVUpCFqERyecU9ZrMWfK5OsNTDdGGEs3nS5zyQnKzX8+SmStWZfo5+ubuHNVkjrHWzsAKiJEjfWbJlkfXKSXV/6ojXpRtOFeAx5I6cbDadDFmCGdPfRJPY50Yhml8KxeZKVLcA6S7i1Jiv/y7d4+meupbQwy+zsLDMzM5TL5T6hciUA0t718kqQUhwEML7hhhsu6j1zc3MopVheXh5Zvry8zOLi4sT3LC4unnf93v+Xl5c5fPjwyDrveMc7Lmp+V1pdtWs7+PrJ37IecEkpd6WD3evYURTxwx/+kBtvvHHXDYEXqh7g3osd0aRqt9t897vfRWvN4uLivoFi2BnEmyRl6X/9+7HGmNzRuRHLNGshCSRbL58lF4bk8o4dMxa8Qg7T6mS+v2uZ9KKMbrQJFmcIjsyiphyjHB6eyX48t+mMD0255rvhOedDvGppTGcsS3m8Yo5kqYa1uCatJKa8OE+uVCBZ7bHWmWvGdBmkHLOA82YrCMMIE6zrbWycYltdTDd2bFrOPSL2Zsr4c9Vt2mPIBet4fuwawYzFWFChoaddEPkQ/+ghVLWIqExDcmGJhLlQwt32CiYET+ymhh//S4HUGptKdByiozB7TGczE4qhy5CxYBPyPI+XnnE3BVECvZCOjD21qXENasNVKI+4VYxMZ8jL2ObLpG0H6nZaXwiBVyxTzM9nbHIBmeldV5cdm9zXJhenXFT0hK+rLUxBMqQZLxawYQHTipChx3AXoe031WwbqNvGxgZbmcNsjT45GS7TicDzR5ge4Un0ygpCGoSnkCbGmpTg6Cw2STFbjkUGsHGCabobz14lq5t4M0WEPzhO6XodrxSOMLwmTkm32mNscLxUw5+vgurNSWC1IV3dIlgcvQ71HSi2uXaMs8/u80/X6tkYom8JV04VNzxa41C+QqPR4JFHHuHb3/42Tz75JEtLS1eElKJ3vfxJzwP2X+u8l4CPIAh497vfzUMPPTQyr4ceeojjx49PfM/x48dH1gd48MEH++vfcMMNLC4ujqxTr9f57ne/u+OYr5m6HI13l0uucYXWa44xFkJcNGA8CGlCmqa8+OKLJEnCHXfccVGuExeq3oVqPy5aa2trnDx5ksXFRTzPI0km6yD3Wkop4nicxVr7P06QrIw+svfmKkRDzKq10I27RAZKuQKep/qYIDgyQ7K0TX5QduDUJumIJZu/OIPVmuDonGOVt1qoMHA645VhMCuczrgbkW5s8zOer5LW26RN533bbrcAwdQNxzBbLXQGbgQOuwWHZ4hXtkbdLnAyiHipNtqwRibNyFjuNEqABjZNMYcqyHyIiWIX82yts68revjnTjo9aIaFjZDO1FcpvNmpkdQ6EQawC+mwNBf5+e9Rly+SwRMBoXxs3MUikVJjEjB4WAPCM0g5fKxsxnpb8vIFfH+LiDdhVeCOvQjo72iYg3RIAhOUsdFksGHk4FJnvDKZrQfWip0fGHq5jFkWfW0yQYg/XUDFbdI0pdvt0FhtIDoSXxoKOYMYAjzGKyGaQ+dxEGA6KSInYWt19JjNLGLXR1mwfsVdTHkWwgiiCZ7HYR5Tc+e0OnQIs+rGEUIgLPjdDt6ROezSFr5vMRjCa2aJTq2j1zecS8u5mtPTbzbx56v9G8F0fQtvuoxuRH3JUVprOumFFI69B2w6mQ1OljdRsyVsY0gyZCzx8ibBkRmXWpmVrndQpRyqnEM3Bif0MPvce5LQG8M/Mo1txch8AEpikxT50NPc+tu/ihUOEK2vr3Pq1Cna7TbPPvsshw4dYmZmhmq1etkBau+36EoAxgehMd6Lj/F9993Hhz/8Yd7znvfwvve9j89//vO0Wi0+8pGPAPChD32Io0eP8tnPfhaA3/md3+Hnf/7n+fM//3N+9Vd/la997Wv84Ac/4Etf+hLgzvvf/d3f5TOf+Qw333wzN9xwA3/4h3/IkSNHuPfee/dtf38SZQ27MhXaj+28Xus1B4z3UvsNjJvNJo888gie5yGl3FdQDIML5qUAY2stL730Ei+88AJvfvObOXbsGC+88AJRNDkCd681iTFuPvYS9X/+8cgy4XuYTtJnwxz4bGNmClS6FtnvTAdd8EnObSCHQJkVAuF72G3WZ8HRubHIZVl0LhaqkENV8uiXO067e3jW/bBuB7NDkdJpqmm32/ieR/WmY9mP9pA0Q4CdL401/FkhyB2ZIdouzVCK4FB14hylVojlOnHTsZfCU+Sucf7F3spjqMD0+9VA4PkGU8iR5nziNEF1jEsQ8zzErpLpBF7cgOAivvbpHs4XoUbZa9+HDlgrBzhbCBf4YSSmqxClHIKOuxq7njwQAk+uM1f9Id30vQCYZJgN9UdI2iT2+m/fXnrIWi6JQ8CdR/Y8lwXjFUhrE0CodnHVfu/pkJmhoxrEUUSz1UJKiacUyvOwkUYNa4hTg201kLNT0B46r8ICbG47d4arPI1ZWkJMzWK77fFei0LVRUUDZn0dUShi263+wZBpioi7UMqj19ahOoPpxORuWKD70jLp8jrhkVmiszXH6K7X8Rem+9r4tNbAq5YwUvRdZPRWC1UuIGSIbkXZ8RywwfHQjW26WscUAkSgsHGvyc4Sn9vIpBKDfdfNLrIQoiqFkRvgeKlGcHQWk6ZIzwNtXDPtSh1VDEe2B9D87jOU73wzU1NTTE1NceONN/Ltb3+bhYUFOp0OTzzxBMaYforbzMwM+fzOoS/7VT05x5WQDncQUoq9AOPf/M3fZHV1lU996lMsLS3xjne8g29961v9Xp1XX311BMDfeeedfPWrX+WTn/wkn/jEJ7j55pt54IEHuPXWQVz47/3e79Fqtfj3//7fs7m5yc/8zM/wrW99i1xuj0/Brtbrpl4XwNjzvH2zbFtaWuLxxx/n2muv5dixY3z729/ed8eL4YbBvcSXpmnKE088webmJu973/uoVp2F1UFol7ePmW62WPn6P46t589V+mCyBz69+QrFrkWMaH8VInZs0ODxK+SOzhJti1hWleLYj6G1oAphxnY5sOh1ErybF7FpSrA43WeVTayd80P2oxzHCd1uh7BQoHxsflw37HvIko9Z2YLCQODac83YDoplKY/0xl0z/Pkqut6B+hCrGvj400W6Ly0hTJvAriDyaRZgILB+SO7I4PG11po0TYnjhEZqKa6dw/M8lKdQUk1Eh2muiJ9ucjFf+9023o1UkIfukHOCH+I6B21mVSYcSO4Loo3TzkqJVTkMIG0bi0AIi1QRhdZ3iO0CUWegObTbop7jWoosTHarMFbRY4mj2pCTjBY7iCkgTfLAODA2kYbeb6vyMOsJQRCQy3kUCgk6TUl1SivWdJrLVHMRFtDWIjbXkNPT42xxvoztro5ty23Dx3QzhntzHTl3GLsx2lnfB5vgbvyCENtuDVIEAep1giNHiZodJClpu4Ntd502f6NNsrRGeHSe6Ex2k7hSc+4qmWNKutV0TXIy7Ifl6EZ7jOEdsMHTxGcH30+vFaNmZ13Eei/Qxg67WAx9f7RBVguoagG0wcYputGevC4gwvHr5OaDj1J85xtGnqxYa5mbm6NSqWCtpdlssr6+zvLyMs8++yz5fL6vTZ6amjoQHfCVIOfo1ZXUfPexj32Mj33sYxNfe/jhh8eWfeADH+ADH/jAjuMJIfiTP/kT/uRP/mRP87lSq+cCdDm283qt1xww3gsA3Q/G2BjDM888w5kzZ/pWbFEUYa3dd2AshIv73cucW60WjzzyCEEQcOedd2ZWR64OQms9DIytsSz/178fd37oNfswBD4rJfIywIht6y5MoZ7ehOJg3t5sZQx0WikRSoyxv+Gx8R9NE3jo1fpYSlZ4zRykluDILFsr6yT1DsXZacJSfgxwq3IBhMCubls+VcImesw1w0kzOmNNhkGvQdDaPnj1ZsrYOCHO2Lm8OQ2BdHIMIVGlIuFbboTaIByl92g/DKE4M4+pveqActuxeT0mWXmqf27aIISLuT8Mi7ArJnq0rJdHMADGwvcxAoQZmEtYbQdGE+D21Q8h7iKMwWoPY0H4AiliwBDKsxBHxLwJUFjUAP8HIfG5iHAHDXW/kcQLiNaH7NKSnb8PSXcHH+E46QNjW5zB6ri3EadN9n083ycoHyEXx9BoYrSm3o0IiVE+hBkgEQBTh7C1HUAxYMtz2NVB06fZWEMWK9iWk04IPyDdGD3/bK2GOrQw0Pj3et+Wz6EWFtDLGwSL8yRLNfTSGv78LKaQA50SHJ0hOr2OEIJkecPJg7KbRN1oo4p5ZCmHaTogPJHhtZb4XG1IKuEmkG40R5rsZM5HlXJgLeEbFjCNDroVYdoR5lxtRNLRq3Stjgz9Abgms307VB2STrlwkc2HTjLz/vcNjt1Q850QgnK5TLlc5vrrrydNU2q1Guvr6zz99NMkScLU1BQzMzPMzs5SKBT25Tp/JTQAwsAdY7+AsbWWVqtFuXyRCZlX6+Lqql3bgddrDhjvpS4VGHe7XU6ePEmSJBw/frx/RzzM7O73he5CNmiTamVlhccee4xjx47xxje+cWxOexnzQjUMjGsPPUrnhXOj2ywXSNbqTk/c7ZIkCYVCgcLCbB8I9spfmO7/APezEHzPNV9t05UPmu2GtjVVIl7aHFlmARt6zqN16AcgODJDfGoNay3tdgdjDOVDswRTJYRS+IGP3mxhonjM57ivgx7yOR6Z29E5p6UenrOnCOaqxCOst8DOFtBbTWzmDev7LaRuo0QCno8/P43MhdBax2Jd0922H2dFgvJ993TBDtjkKIowHffD53keVp3H0WBC2bC4S4nGtpoYTCHBDkUyZ8l3YshGw6Z6kKYnQGJBg7Y5pJcghCHwNpif+gG1xluwZqoPjG2+CmjXBDdpX3TmSpCfGqFCdGR3bEHW6eSnNTbW/cQ4bXPAABiPvD8RBPkA2/HQScJ0TpFMLWIb69StQGvwcnnCZptwJ7A0dQizOuqEgtFO/yfdzZMtTUNj3DnEbGwgpl1Mc8/IRFg3TzU3jWk1sEoitMG22qStxDG1YUDuhnlMR6PbXeKzawRH5gbguNVB5kNUtYDeckDYtCNkzuJNF0l7PssWknMbBMdmibaaaN8SLM6CtchCSLLRwHSTvguF8D2EEiOuFMnqOOA1UUJwdIb4zDY5U5wOubW4anznx5TvuKXfUHg+UOp5HvPz88zPz2fXhTYbGxusr6/z4osv4vt+n02emZnZc6P1lQKMD8IdYy/Nd1fr4uqqK8XB11VgfIEatmJ7z3veM3IRuVTJw/nqYuZsreX555/n5Zdf5tZbbx2xpxmug5RSdF9ZYePvfjg6LyEQvkJvJXQ6bYyxlEpF8tfMj8sO8iHppvtBHcZ9/lx1zD3Cn6uOyRxQmY/sdgb56Bzqxy9hh6UPpTzJaj0L7WgjpaRUKhJMlcYa/sJrDmHSFH++iulERCsbjmWeoG1GKoKF6liktEsHE6MhHp5CVXOIs2vY7IfEW6jin34CKwWqXMSfrYIQyJlpaGY3HEJgvNBFLavA2Y0JEOWj/aEFAh/wAW0MUTeiEXWJ2xEdWSZvfXK+cgEWJkGk0bgTAuwAcHdRE370rVTOs3dI42HJGt/66LYvqO4DT/dyClpiJVgjkDJhtvoYnahLijt22jrdsOmmbse3V5ael5o8w12KJkphkqzU80la7ORZ4Y5/EpGMxEAPa+Il6XqD4JqCE3BYCzohF7fB88kDaWmadLNGolNa1pJPO1nAiHsaIHIF9NZkKYttNRBzC7CxhN3pKUCagrFjj0SFcg11slohrATEZzaw7Q7hovtemijGvLqCqpaxjTYqUBA7PbKJso1ZnI6/nM+a4UQ/s0WW8thOjIkSTCdyT0iKIWqrS6wH39vg8DTxucH3zSYp/vxoMx7gboy3Ad7kXA1VzqMbgycy6WZrrJnPpobaN3/AoQ/9Yv/p3m5AqcgChorFItdcc03f7nJjY6Of6lapVCZawl2o9lu+sNc6iCbAvWqMr9bu6yowPvh6zQHjvUopLlZjbK3llVde4bnnnuNNb3rTxBhqIcSBWcHtFhgnScJjjz1Gq9XijjvuOO9jrAOTUnRjlv7Xvx9zYgiPzNJ5dZl2u41SilKpgD9VItrO6lpQpfxQUp0DRcHizBgoFoGP7owDuXBxZhyQTrkmueGPzQIqF9CpNWh32gR+QJjLZUlfoz/IMheQrG6NRDQLBPqQO8bBkVl0O3IuGIUQGfjjeuLFGdL1ej9VDHCPko0lWXP7KzyJnC0RvfI4oW8ovOkYXrWClT7GgEEg1CFsHGM7EWCxNgFixNwccm2pf9hED6AMVQCEpQpJq4E2GtlO6KSaljEoT+EpDy9fQIY5x9p5XgZuc4jyMYSJIe049ng3jjAT1rFSgWYkBM81Fg67QvRCS8b3wVqLQIIwWCvBCHI8j5YFOun1xPUsDKSTgr8NRUFfQhJvw5mmk2LzYlSLC9hCFdPcCRjjgLEQxKcHzWEjUp3SLGy2wCZYY8glDWQSgA7cDcHMAmp9GaUEofIpKo/En8JurdPtdrHWkpqQXLeL56mJ4MWurSBmD6GH2NTxkqiFeWg0+necQgrXuFZvoKoVRC7AdmP0Rm1IomARXibBSTTpeh1Rb2GlNxLh7s9PkSxvkxEtTpOsbUtaUZLtl25d77gbWj24bsTnanjVAunW4LimW+1xwGssqpgbAcbg3DKErwYpekD7iVfovnAO//pD7ojsAQgqpZiddd7IN998M91ul/X1dTY2NnjllVeQUvYlFzMzMyMStu11pTDG+w2MtXa9I1eB8QHXVSnFgddrDhjvpTzPuyhAONy89t73vve8rhMHHd98vur5dBaLRY4fP35B1vqgpBT+d14i3dgWVjFfpfnyEt1OmzAICcLQJWaJcV1w7tjcGKglH5BsjLNl/mx5YjPbuBuEdBHKZhiJObDeeOkcUdQll8sTBL4D5dt/yAFVLY4l1snZMursGnFrcBxVMYcqBEjfQxXnnG1VO8KvFIlOj2pHgyMzJCubffmFKQVwqMjmmVPMiITwrW9Hb62hW3UHBot5lG4MYFtGsYpsl5Q0TvucrWGtHTw3H2JkRT4PdZBCkgtzELof6FSnTnaxuYmU0gFlz8NTClEqYztDn4HIQz6PCEOEp0BahE0gaSPi1sDfR4/fhFrPxyZdhOlPLntBZM/3h0p4IMa/U70Y7L4mwIC0HUL9Ap1NgEOAhDCAbe4rInLHqbscbxvTInwfktHl2uYx+jw3AcrD9yvS6QABAABJREFUBkVGPPKGbggcg92CqI1XXwJhEJVD2DCPCApjtmxCpwRY5OI12M1V0so88bmlTBLTRUjpbmCyGGQHMi1WBo6N3+EaZGKDXq+R5MLxF1ONrjfwF+aJX1mFJMVfmHLNd2Q2bQszpJn1mk00/uEpoiGAmqxu4h2aIh0C58lyLQsKGchwzHoDXc2PaNx1qzveSGctIhfA1qj7zCTAGy/V8OcqI99d04knNudt/PfvMf/b/wrYHyCYy+U4evQoR48exRgzYgn31FNPUS6X+0C5UqmMbPNKAsZKqX3rj2m13BO/qxrjg62rzXcHX68LYHwx4LVnxRaG4Vjz2qWOfTF1oXF77hjXX389N910064ubgchpYifeBX14hqUByyBCHwaqzXiTpt8voCfNUTtxOpG24CuECDyPrYxCm78w+Osrgj8zCpq9GscLI5qkK1129p68QxJnFAoFJ1vMq6j3W5rkguPzo7LPYo57FZ7hBC1FrxijnibZ3N4bI7o9IoLVcgFiMDDnyqgm228SoiJU6wfIJfXaD77ErNTltzRo9DaysbNQkSqReyEGwS37wE0NlyzJkPguPdfmy2xgB7XF0spCWRA4AfYXnpYmtLtdNEIgriDl+mTpZQO+LZb2HZrwkUzgHwBkQtB5BFlH6G7iKgOOsX6PnR6NyjZ/60Du0JmYD4DzCbRmX3ftvO/p0sWg3NYAMpLmS49y1TxRRJdxMhDRJQYFg/L1GALM5hkwvnvB2PAOGpKTLLzT4OVHmnis5N5dFrrIE0LcfYVICUuVPGqc9BpYes7JAlqjdlch/ljiKUVwiCAwKXwpVqj07TPJivPQ1Rn8U6dw1tYHNchA4Qhem0TsEhjwPPcTemwQWmSYlbXkNNlTK2BXllHlQsDJjaKRu5dkuWN7PUh4JqmjNzuWJDe6PXI4j4DhBr5qqarW8icP6orXt7Em6+Qrm4HvBN0xaYXCTnYXrJUG2kOBOeD3Pzhc8D++wf3LDt7lnBxHPe1yY8//viYJdyVIqU4iHAP4CpjfMB1VUpx8PW6AcaTQii2Vw9sXnfdddx88827ApsHyRhPGtcYw3PPPcepU6f67hiXOuZeK1mr0/rmIwz/0llraZJgG22KxRIq8yf2D02Ns7pSDbG6gzKzJcx6ExUMGHBZzJOuT2CQZ8qj2l3c491hxkgIsBI2N2qINKVUKvXjocNjc9sa4pwmeEzuAah8CJujcwivmSPezgovTPf31aYa3ewQHpul+8rAYsubLtFdXsGmKfM3TuGnbYLZEnp1sI7wfNjaxqQPz3NqCjYHzY49GUWfHx/IdKG1iTVOY2n72Whi5L09JwuANF/GNldJ04Qo6mbevJ7TwCrF2HNxgE4b22mDamD7rLGCQoVuWCFM2ngkjs1nKJjDDg3XY7ylDyQjIKoH+K2RiF4oiAWRoTYhUgKvjrB18qElNQUSPUPHTLt98qr0/ItHaluCnhWC9lKCV/YmmyIDCEW8se2aks3V5iqojVOELCGswSqPTnWeXL12YSnK1CHM6gbkC9BqZPslRnyTtTGkQtGtteh2u8iXX4KpKXLdjmOTe1MsT0N93T1ZiBPU0Sp2bQPM6DXAxgmq6iEXZ0mX1vFKQR8Y63qL4PAcSY8lNhZVDEaAcbrZJDg8QzKkF07W6gQLU8RDMgvZjgluWhiRRJg4ncjwkk4AvMubqOLAMxmcy4VzvRnSKmuDX8oTN0dvWur/41HEHfMH7h8cBAGLi4ssLi6OWMItLS3x7LPPOrcYpVhfXz8wS7jd1EGEewRBsO/9NldrW5nsz+XYzuu0XnPAeC8XNc/z6HQmGPVnNcmKbbd1kIzxdnY3jmNOnjxJt9vljjvuuOg78/2WUqx943uoYojpKKwQmFTTCC1+LaJYKvY/Kxn2fmi3sbqHp8Z+EL2pEvLsCnYIrDhQGpC0tlmfHRlv1HEM8ui2rIVmYMk1EvLFUh+EeTOVse1bIRBKTWzicwz0QJbhz1ZIzm4D1eU86eaoFjc4VCVZHmxHVgrUV1bQGLyjOfy0jZquoNeGH68LvENT2I1Rl4/Rye6cYtdT7goBolIlqp0hTVMXYGAHIDNbme35b36+AHFIEIRYa0gzNjnpuLAUL2sS8zwPMey7prxxKUW7hRd1IRUYK7GJD0ZghQIJSmlUTmcaYnd8TayzOfWO4/D8BsyxHfl3tk8mO36yhSdb5P3TlLwAvSaAaca68+ToZVAUKujIIEMLExQIAEbmSOubowstYAyidprQrmYSF0iO3URYW4PzdOtbqRCV+T7zK/J5eiKg7aWUQhbn8JIa1vdIU02cJHS6EZhBA59sjT5xMWvrqEOHsJ0JLLcQpOfWUQsz6PWtEYmC2WyAryCTMaTLNbzZysiNqmm2x/TCZqRpzoHcdLOF8NSIk0tybmO8ka42AfCmBjVfGAHG4OLWx7TKSzW82fLIHHWjQ/HZdcTdl48Jm2QJ98wzz1Cv10cs4Xra5P2yhNtN7Tdz3Ww2KRaLl23+r9u6TIzxVY3xT3mdD7zuZMW2H2NfSm0fd2tri0ceeYRqtcrx48f3ZBW0n1KKZK1O6+SLaG0QUUqqElppRK5QpnzDLCLzz7XWIkIPnVk46U6EAPxD0+MskVJYYxyLPARsc5NkDZmzxPbaziAnSUJc9Mg3UvL5woCZ9BQ2TccYvNyR2TG5hz9bGQ/7CHwX4zzUcCWUQnhq5AfeqxTQzdZgvVLI1voq/kyRynSOdOlVp9tVeijqPKN9O+P719+WH2Dr6zvHGWdlrWWz0yFMNcViESll3/bNAUoyoDwMkjPpb29bQuL7MmOCLFqbfrhIt9tFStUHyipfhs4OTgpCDg2cNbxpF7IByjG3IiBNeny2QokIpBn1PHY7hu1JJfoyjKHj13O4EAKEIfC6ED/D0RlIdIF2d444qRCbotNOD5XxioDBxGZHYJx0/f48JB08Gni2jdxqYa3JgLqAIIdIoskMe68KFTACszaQQ9j6JnJ+Ebu6NL7+9CJmaZXeUfQ9Dx8Q17+BdPmc+2yQxKfOIqUagB8LZqOGrIxrQHvT08sbyHIBmff6nL7pRgSH50ZkDNubFXWr65Ilh9bRWy0Hbs/W+l8z047GGGJrLLIYjjXSTWzOW6rhTZdG9Mu6FU2UWUw64vln10g3W64B9idQnueRz+eRUnLLLbeMWMK98MIL+2YJt5u6ksI9rtbuyyL6z/wOejuv13pdA+PzWbFd6tiXWsOyhzNnzvDUU09x4403csMNN+z5jrw35n4EkrSfHYRNWAuddpvy4TlUKyZZ2ey/JnzPsUM96y0hkPkQIQX+4jRCyr41lwh994MXeH0ZpDddJhpijYC+s0SyPTzj8GzfxcJaiKKIrknxrcyYzaF1D02NgV1vrur8h4dK+J5jvoYAtLXgz5TGJBzBwtTI+2Xog7T9IAITKupxg3IxoOApZFRHa423MI2t9dhiN0lvfgZbH23QGi41VYXNCbKAoTLG0O60kZ4cYXIGzhWuia8HlAf/x0U6ZxYSbtU+TB4KF+mxyWmWZhgTaY+i7vSB8iibrLAm7YNaMfKsLltP66xBD9AWIxQI6f5kWdFCWCelEE6y6oI1djgIdrtwxOKrNpXCq+jEcwBvRWGtxAoPi0+8GVMIQpKkwvbH+cJ28WwDb2UZ39aQIkFgsoYY5RhjbNYgqJClEng+ZqdH1tMLmI2NsScUAHZ9FQolaA9AoJiaJ12aHAZi1lfxqlOoRp3c7AKxXifNPK3BMXouGVFgBahhbDt0fptGG9PuElx3iPjUOhhNulpD5sN+eI/eaGSpeIPvZrpeRwR+3+8bHDgWnoIk6X9GycoEXfHSJv5smWSY4Z3YnAdCjR/LZKWOzAeYzkDekqw3RqOprUVoS+1vf8D8B39+4jG8HDUcCX1QlnC7ncdBAOOrjPHB1lWN8cHXaw4Y71VKMWzXZq3l5Zdf5vnnn9/Rim23ddCM8VNPPcW5c+d45zvfydzc3CWPCewPMH7mNNZaul0HTovFIvmpCnFrlG31Zsqjzg6ZoHQ7qLQWZM7HRgki0eD7yGIOVcohQy+zexKOXQp9kloTmQvQnRghMgZ5bdC41ul00FozfcMRmq8sjTw99xfGQbEIfPejv41B3u6jLATomfzY/MOj25w1pMCbyuakJGlR0WluMmUknu+RO1QgPrOGFtCprRBs61QXJOfvCj6PjAIg1ZpOu43n+1R8EHrnz3ugTRZYkSHjfqRzr4HPMg6Se2xygCOTLbnSNGajSxzHdLsaJRXK85y+WXmuyU1YRlI1hMCa7WIOMuJXIkTvxqoH3AVWOzBr8JGkGGv7DhxS2RGw7AwsHIoWpNkF3yKVwWoAg0Rnx7SDihvkp4fnoNAmAJMiSd3CruNM3Vguulpg3G6Z7IdLKEQuh+w00DnHQvdFLMqD0ix2defEO4xGeP5AUpErOJnOTp+jyRxKBJhu2tcmKyldsE6x6FwukpS2hbDZ7evKxXY7S20QaYoMPdTUNMlyDX+uQDyUamna3f5NLbhEQMcsrw+tE+EfmSV+eXATu5Nf8aSaCKLX6vgLUySZW8bImJ3RMXVzwDr3vk/tR18k+hdvIbx2/oLbP4jaCZBut4TrdDpsbGzsyRJuN3WVMX5tlrUXblXYr+28Xusn7xlzGWoYvKZpysmTJ3nllVd473vfy7XXXntJIPGggDE4prhWq3H8+PFLBsUw6Ma+VDmFNZbmM6doNlv9L4+UyhnxbyvhjV94vcp4ooI3XRp6vwBjMN2Y6OwG8VKN+Mw60ek14rPrpLUmerOJ6cYIKZCFHP5sBW+6hFqYoh6Cni4wfeuNKCugEGA9t+8yF6C3xvXm/mwZ09pmOXd43EdZVouobe/3ZspjEdK56+aQoSJcqBB3m7S7Tap4+LmA3JFp0noH5fvkj85jOm1arRbNZpNut0OaD7Fb22Qmw8c0CLH1nV9P0oR2u00QhhQWFhET7NN2HBuByBWROkEI6f70khtwjXtOKmAya7ihq6cQ+GGOMMxlTFgJP/AxWpOkCXHPp9ha1/813Finh/Kih2ZjTSaJ2OEqLaxLgevDauukGUZLdCrRqSJNFTrx0KkiiXPo1MMYmTG7buzerlgrMEZgjMQYiTUCY0HaKNM0SwzSeRELixQma/7rSTkcyMfiHDqyCjp15Kzz0aVUBVVwjPAFytZryLlFEBIjcxCf/4bI1rdQC0cwGxPsB6UkDAKqs4eYRZK/xgUBdbtdNpad33gcx2iTgUghMJ2I5NwaMvBACGR1EJRjGm2Cw9Mj20hWasjS6Pc7Xd3CBj4jjXRLtSz4Zui9GcM7sj9JijczLv0wnQjk6HXbeSCPAjPd7A6Nafs4fuO/f29szMtVu216y+fzHD16lNtuu42f/dmf5bbbbiOXy3Hq1Cm+/e1v8/3vf58XXniBzc3NPV3T97v5rtlsXnWkuFp88Ytf5PrrryeXy3H77bfzve+d/7v2N3/zN9xyyy3kcjluu+02vvnNb468bq3lU5/6FIcPHyafz3PXXXfx3HPPHeQuvPYY471UD7z2rNhyudyurNguZuz9rFqtxrlz5wjDkDvuuGPf7uqHk/ouRbu29PizNNY2CPyAIAxpNBqg5ETfYd2c1PQ4fiPiFXPoITbMyRXKJKtbI+uJMOgn5PVWNO0uyRrEWy0HCH2fXC6H6CYk63VoJ86qqhDgL0yh621UJe8eyUqJCH2IYoIjM47ZTF1Cm40SZDHvYne1cWBICawSqFLeBSX4ClUMUcUAAZhUIwNJemYJYwyddhtrLbPFqtvGTIFk2QGi4JpDFOINbL4A2H6DWzNtk7QaWROVcyMQQz9gaqoCtRbbywJxFBHFMfl83r0vDCcaMZy38kVImoNPSfTa4DJw3G+mmsAmDwFYKSVSBvh+QNTtopWBTsu9z4BVbpi+XtULQQ81VvWwbo81HqvBeWSMQspJNwADpZywpg+yrZHonhn0COYWQ81i7p9O2mH7EgmnnR//TlrkwKdXCGRhFKSZRg0Wr8ecPT3mxHK+srU1zMxh7LmdpTX9dYXAdA2iVMQ2W/T2pH+kpCDZaCCEwNusE15/jHRpDRP4REnUjxIXQiC3fGSa4ikP040w5yKCo4cweQf4040mulZ3cqkswMZqjV/JETdHGWJZzaHbgxtPaywyH7jGuaHSrS4oAUMe0j0QPbyurnfGm2+zfobt1bOES5tp/0hEr6zQevRFiu94wwWP6X7XXnyML9YSLp+fFOc4WvvNGLfbbQqFwoVXvFqXVldwwMfXv/517rvvPu6//35uv/12Pv/5z3P33XfzzDPPcOjQobH1v/Od7/DBD36Qz372s7z//e/nq1/9Kvfeey8/+tGPuPXWWwH4sz/7M/7yL/+Sr3zlK9xwww384R/+IXfffTdPPfUUuVzukndzUr3mgPFek+/iOObEiRMXZcW227H3Cxhbazl16hTPPPMM09PTBEGwrxeu3j7vlTG21vLSSy9x9uHvM5OFY/RwkDdTQm8LyXDs7DgqS7fGQZ0Z6lLvfTQyHLf98aaLY7HNspSnu7FFt9slF+YIwgAL/Qad/ketNbrZHWncARf6EW1zlxiTRuC8jdunlxFpim67H/7gyAzxmVHmL3dstp8CJaWkes0iIu7iVQPSteyHXApEFJFsJshyFVXJE1hNEHcopVuY7LF3miRE3cwuLQPK3gRPYoul2+mS6pRisYCS7rwRE9a9UE1i+aEHKXq65Eyx2wfCDiTbNHEAdLvsQgikFAihEJhssQRMD1eTdFPUCIzrbcOtKzDbeuxE31JIYDBGIqXZBnSz9exglv1vfk8CYAOkSKEvWhjSk2dzHK/hjbhmGGuGAKiQTm8LpIVput2EsGtg6RxW+QgTjQ85qYIcJqxCd3fXGDm7QHJmHTFVHQXEvY9hahqWB99TvbyKWpiDlQ38wCfIfJO11sTaEHW7dKxFZX7WIooxK9n7pcCbLuNXiqSNDqbZdRHQSzXUdAk99D2za3VEMRg5lMny5lhAh250JjfnTQDR6UYDEXjYuHc3Ykk3m/iHp7HtGOFLZwmpBKIQojcbmFaTYHoGa81PFBhf6nV9uyVco9FgY2OjbwmXz+f7koudLOEOQmN8lTE++BpIuA5+Oxdbn/vc5/joRz/KRz7yEQDuv/9+vvGNb/DlL3+Z3//93x9b/y/+4i+45557+PjHPw7Apz/9aR588EG+8IUvcP/992Ot5fOf/zyf/OQn+bVf+zUA/vqv/5qFhQUeeOABfuu3fmvP+3e+es0B44stYwyvvvoqWmve+c53XpQV225KKUUU7fJH7jyltebHP/4xKysrvPvd72Zra4utra0Lv/Ei6lIirLXWPPHEE9RqNa6zBXSwDfBOkkxMjTeoqUoRXR8Fxhb3Izc0U8CO6Ar7r2xjWqyFlk1IuhGFQqHPhPsjnevZ81OlxkAxMBpW0Bs3mcA+Wuvg3rB6YMIj/u7aBq2m8/QMc6GTjjS6pLUBAAiPzGBWHANoGm1MNgf/6BxpN0XmQ/zAI/Ak1hriuEvcbdGMugRLpwkFI77DnXYbi9N6y54kQUpojt5E7KrMhc+PPnQVvZa27BibAUgZZpP7B81T7thm+mEpzGDARKOl7acVjkR5G+Ea7YZqVMVhsVpgxWgAyOj649HPbuyedEC69/e1wDtIOCxOVmGdHMM1w2THoge2vRx2+gimXofNOr5OIe+ePsi5BezahdlfqrPoeoRtuO+QnJnF1s4jsZmeI+n5Z29uoRYOYZZXGAH6YvySb1bXUbNT6I0uxE6b7HkeQS5HXLIYY9CpS0jcWFvDa8VZCp+HXd/C9z3S7MmO8D1UKY+sFFGFMDvulqjeAE/iy3BwXlgLeR9vuuie3AjhNNLW4h+eHjSJZuLx8LpD7twx1gV7GIss5UjXXOS6iTU21ggpSbbdfPtzFfTSJipJiLvueJr6zhaeB1n7nXwnhKBSqVCpVPqWcLVajfX19fNawl3qk8PtdVVKcZnqMjPG9foo4RWGIWE4btcTxzE//OEP+YM/+IP+Mikld911FydOnJi4iRMnTnDfffeNLLv77rt54IEHAHjppZdYWlrirrvu6r9erVa5/fbbOXHixFVgPFw9G7ALVc+KrRfuMYnKv9TaD8a40+nw6KOPAnDnnXeSy+VoNBqXzR95N/P70Y9+hOd53P6e93L2m1/rv9YDL9v1ucCYBhBAlXJjwNifqZAOaSIFYOVkaYZpDzX/GEun0yb185RLxZEfG1nIwTBjhXOS2C7NkIWQdDswzh43b6+0Ps50p7XR9ZKcIl5bI5fPE/g+/sI0tOvoxuC9/uIAFA+XKBYwa6tgDDoaZXolkENSWrwWvXqaNElpYkkwGE/h+VUq01OIMMg+FA2+B0nDgdUkgjTeXUdFdLHaix52EYgkcrZs9NhkFypiek4TSkGSkbjGgif64FlKifQURqcZbsrEG9YibE9SMQDSVo+KcqwVOEHwNulFf5dH2eD+UmF6yhAHuhCZtRxI1Yf4A9bZSkQWBDhi7GBApx4WiQyDiZ8xgN1Yc3KVzvj55CYkYXqB9NzoEwsbJ85ne9JnWCyRboyOZ1bXEJUy1DbdvitJOiH6HGsxWw1UdRq9ujlY3HXnoJQSGQT4QUBpqkQ3rpPqlG7UxXYsQoEXO8mFJCWtNfCsHZ1PFCECj1RsIxE2m1ipRizZIHsytE0u5B+eHgkRAQhDH70tyGPYI7l/LLrx2Cev2xEmSiY+mTrI2m9t7/byPI/5+Xnm5+ex1u5oCddut6lWq/u23Xa7fbX57jLU5XaluOaaa0aW/9Ef/RH/4T/8/9n78yBJsvy+D/y851fcERl5VlXfx3TPhTm6Z7qrAYLUDMBpgLtaCiOQMGJ5QCDGRKIB4jKKIkURAiTSYKQIkdTAQNpCXFLL0axgtiYjFlwIY4OFieQOhoPpqp6ePqq7p48684zMjNuP997+8Tw8Ls+srKrM6i50/YDqqYpwf+7h4eH+9e/7/r7fX5xbfnt7G6XUHPm4urrKq6++mruN9fX13OXX19ez90evHbTMSdQdCYyPUpNWbB/72Mf4/d///WN/QoZbB8Y7Ozu88MILrKys8KEPfSi7YB53GMeobtTLeGdnh/Pnz3Pq1Ckef/xxhq9dnbvxGM8h2e/hzFzsZ6c+gVxtpSzO3JiEgGoA4fSyk/pipXQmVWj4RUwyfcM1al6aIfwcaUajTNSfabpbqFpt8uRy9TJJp8ckYew1K2NgbAzD4ZCh51Ivl/HrZdxqgXhzh+BME7DjOZUSdPJZXLdWQG/newBnnyXsZnZpTpJg+gNcbSBSdPevZGyf67r4Z07NgCUf4XkI30ZUC8dJddYibSAzGK2QIoaiQCQhJonygVhOGSEhDqfYZIMgDIeoJKFYKkLspY4NgLZMs2DcxGdUqlceaXm1TuOIDVrbZ60pKcQkq5wywkaTWnrpbLGcxbOSUqNVyliOpMUmZYLnftojjbIVUCjlWWCpZNo7aO3aZHlS+zZz/LRClMqYPGBcLKNFET0DigFMt4NcWcFszQBu17OAPJoBnelvzaQPqGKhCdf2co4AyGKBqNXGXWmSbKaMahRjI5wnGOcoGc9UBJb9TKQkSlSqTbaSH68jkDPuNyJKoODOPZw5JR/Vmf4NCn/+Oi1yHrRNzvXE5DQo6n5oZTQzQyStDv6pZs4RObk6bgnDYXWYJVyn02Fvb4+9vb1jsYTr9XrHPiN7t+brdrtSXLp0iVqtlr2exxb/Uas/csA4z4ptxC4nSfKeAcbGGN555x1ef/11Hn/88bmnstsVHHLY/l28eJHXXnttav/6r12eX7bsQzL9S5WV4lzjnTHMsUAAJs7ZH9eBcFrOMNIXx3HCYNDH9wNKi/U5ttoYSKa2kzaN5blm5EAlWZxvynSqBQuM7Rbsa8WAZLeTsTLGGJrlBoVTJeKtFvFmHwzErS5SCowQuEWB3p/fD1mvWrb4kHIW6pjUDm8UrlEoFPBTwG+MZaNGMc6dq5cpqjgDMtKRmDjGxDEcQFbKah3VnQDnIkiBtA++a4NbpEhBoLE0qY4RKqWB+2NG3mAlHtpoyhUr8VC+P3LsS7VyYz/jEUPMRPJgNjskRpplB4yaArsw1j9n29bCAqlJkviwm4mYFlnkmdsbDRoHHUs7tkk/vzAIabJtGSGRMw9hs6OZnS3rTtGdmMFYWCHZ7kJysIRK7+6B5yPi8YyCqTQxG/nWZ6bdQTSbiF4fc4hlH8UytFokmy3cU0sk17YR2N/C5CyNGUapTtuOJaUkQOKWbKJiohQqSRi2u+hkrE0eyQdmx4NRMuYMMM4FjjnfSc61Y3Z8SGcnCh50p5cfJezdzjpuKcWN1KQl3Igx9jzvWCzh7mqMb0/dbmA8kulcr5aWlnAch42N6Qf3jY0N1tbWctdZW1s7dPnR/25sbHDq1KmpZT7+8Y8f9aPccN2RwPggKUWSJHz7299mb2+PT33qUzQajWz5m9XWXq9uBsCO9LqtVmtqP2fHfbcY45F/8vb2Nk8++SQLCwvZe5PBHuNBxdwP1a2VpjrTwVqyqRkfViPEjL44JRPDmNkboZCSMAwJw5BioYjne3Y7M8DYXSij9mZ0zEIQ5+mLc1wzxs08E69lU70TTghhZEM0ej2kI2k8ci9O1Ce+tkWWLidADyK8U4s4vkZvbs6NDeAEEn0dBYMsOJguDMOQOI5STfUYQAhBGtPsgB9gkh5JYlKngaFl87y0gc9xmKPPABEEmMnDZAwmDDFH0NGL+gKm10d4PtpzaPf64C6w0GzacA8JQick6/sIR6Jj29omnGSUBG3lc0gE+b8po0fa4+l9N6lkIzvoo2UdmNBA5FPGo+FGi2lQ2sMoYzXtZhTaYRcQQpPtgjBo5SCytAxxAKib+yQIzzbn4ThQWyFZn2eJ5yqOplnjpTXUbILk7Ja2d4jKZZKdHBlFWslEk2xybRt3dZF4q4UMvGlgrDWyEGAm9P8mVvazxEl2/gUE4PtE7V76sJa6VsQhbpLgOM44cMabP155rOVBEom518IE4TuYaHp5EXgwI7vI6zk46TppKcWN7EcQBJw6dYozZ86gtabdbrOzs8OlS5d4+eWXqVarGVCu1WqH7vddYHy7KhPe34btHL183+eJJ57gq1/9Kn/6T/9pwD4EfvWrX+W5557LXefs2bN89atf5Wd+5mey177yla9w9uxZAB588EHW1tb46le/mgHhdrvN17/+df7KX/krN/yJjlp3JDDOq+tZsb3bDOyo+v0+586dw3VdnnnmmQOnJU4KyF8PGA+HQ86dOwfYk3bSDkV1B7mm/HKQgJw5lXIeXGYt2cD6B8/qHo3rQGdom5Umhttb30JFEeVyeTwVmXMDdcrFKWAsBJhaAcLp4ymLwbxuOM92Toy1xAKs9tR3GWzu2hjsMwuUFeiNbWStMAWKxx/Uw/TyWT1nqYE+pKkKbFOT3t1mMBigtaJcKiNzEsCyz1avY3YH+L5vfwvGpAl1CcPBAGNGIDoNeBjd8G7leutallSFQ/q7fXzHpVgsoLd2pnwddOJCAjoCHYN2AwvAPRfpu8RDF9dzrCwiUehEjeUZjkB6HmiFju0+CzmSgUhUwliqYVEnQiq0FggjMh/b7O0R4+yATibS+IyxoR1i1nD5gM+efd9iyr/40FV2t2H5NHq/jz4KKB4dv60tZKUKnp812x1eBuX6oGRuwp6s10i2px8Qk40d3GbdJg/OLl/wUDONsbLgoWYaVp1igJ8uNxwO7YyA5xLu9TI5geu6iJxmz3yJxPwDq+6HudJxp1QgiWYejl2ZI6W4/cD4dkopDqtZu7ZbtYS7C4xvT72Xk+9+7ud+jr/4F/8iTz75JJ/+9Kf5H/6H/4Fer5e5VPyFv/AXOHPmDH/v7/09AP7aX/tr/PE//sf57//7/54/9af+FF/+8pf5wz/8Q/7ZP/tngH1A/pmf+Rn+2//2v+XRRx/N7NpOnz6dge+TqD8SwPjatWt8+9vfPtSKzXGcqfS746obAcZbW1t861vf4vTp0zz22GOHPn2/G0B+d3eX8+fPs7S0xIc+9KG5i3f/9avM3oFkpYi81sUUxqfSvJTBls5xepDB/FSdbJRQE6lWWht68RARa8rlCnJCa5irY1azN1WRL81olIkGs2xzZQ6oewtV4r1ONpT2JXHdpxe3qSDxu2HWuyWqJej2pwCmf2qR5OoGSEFwajVrsCNdR5ok1xBsqhZq9C6/mWkGr6cDtGEUUy/geh6u54EBrS2LF8VWkiGlBSlet3PzFwUpSRKVylz8Ax/6hONMsX8GB4GyhGyiEMqAJ+wyExpjAKMsthNirP812jIoRkkLfiEFS5ZFNioF0CPGd7QfE/+wEutJRnm64W60hpn4+8ifTUqFNo51xtDglPO8NcXU30VjEaUkpptgOgfoWg4qY6BYIdk8WHIxtXh9AffSNvK+e1Gt1vyzT1AA5mdOVGsfUa/jrTWJJ9xlpO/N8fky8FCdwcxrbracSS3fKgt1on6SOl0oEpXQ2tnB7YZjO0LXOTI7bLTBKQaowfSMRp5GOX1n6l+HJQmeVL2XGOPDAPpRLOGSJGFzc5M/+Sf/5LEB41arxU/91E/xW7/1W0gp+fznP88/+kf/6NCxh8MhP//zP8+Xv/xlwjDkc5/7HL/2a782pXnOu2b+L//L/3JizgYnVe9lYPxn/+yfZWtri//6v/6vWV9f5+Mf/zi/8zu/k30PFy9enDr3n3nmGb70pS/xX/1X/xV/82/+TR599FH+t//tf8s8jAH++l//6/R6Pb7whS+wt7fH93zP9/A7v/M7J+ZhDHcoMJ70471w4QJXrlzhYx/72KGuE67rnhgDe71xjTG8+eabvPnmm3z4wx/m9OnTxzLuzdRBjPHly5d55ZVX+MAHPnBgGmD/wry+2K2VEDPNoQdJGfKmLfN0v3JiajVJrB+wu1KjOJhunpHlQq4UItnLARo5WsS8Zh6n4DML32WlQFB0ENIhbndxuvv0r21RcyyzmYElk1rMTYHiJmokn1CG8HILp17DDUDv7eGtLqJb+fKKUSml6G1epeg4NrjkOtcrA5jO3sELCJCOg+84+EGA0YZEWTa5v72JMHoCpLhHbsYZ9PtE/T7FYgHPO6TT33EhHoctGJVKhxkfOqMFUoy0vjP0uwGdWqVNfazZ3Zz0L9bCSjnEpEBvspNvND05S/VPjscYKE9uTAhMIhFS5+qLs3J9qDXR7QF6YwxqRb2B2d/LXydvNxZXia7t4iwsYLYPZ5pFpULSGiAQqJ1d3LVl1Makll0Qt/KBuaxXiVO3GG+pjo6UdZTJmanI874Wh81oSIn0JR4e1cUGw+EOibINfIOBRpLgRcZq40eJnYMoi3ee2k7Jh1lgnCPPMCan+W7n8GbXk6h3U2M8WTcS8HGQJdy/+Tf/hl/+5V/mC1/4AmfOnOGrX/0qn/jEJ3jsscduuonvR3/0R7l27Rpf+cpXiOOYH/uxH+MLX/gCX/rSlw5c52d/9mf57d/+bX7zN3+Ter3Oc889xw/90A/x7//9v59a7p//83/Os88+m/07T8b4Xq/3MjAGeO655w6UTvz+7//+3Gs//MM/zA//8A8fOJ4Qgl/6pV/il37pl25qf26m7khgDGMrtiRJOHv27HVtYk6Kgb0e4E6ShBdffJF2u81TTz11JBE7nKzGeHJ/tda8+uqrXLt2jU9+8pMsLi4euO4gT1+sUyAxIZ2YlTKAZV2T2ZhaR+bqfhnGgEkbzAYEQYFqs0l0dXra2K2V5/TFeT7JSIHpDFJmbFxqYl3hOshiAK5LcI89BiZKUL0BAk200cqa7AAqjo9fK9o0rwlGM97p4BU9dBTjn15EbcyDXrXfQwHemTUEw0N7wuIkoYOmbhRBoXAkqYPTWMB0jzLFnn52KfCkh7/QRPT2UUoRJwlhFDEYDO2Ut2cT+A66oYdhSEftszCje87dnuthsMc+kwU7o3+kYDnS4Iv8z2tgxN7OtswdDGxF2pBnYGTPNpK8jIbM/pszN0/+S9noabCI9HJ8goMSkfDxQg3X5r8X4TiHngNZeR6m3CRJ5Uy618c4DuKg64/vkcQOTLCvyfo2zsoiesvuh1xokGzms6aiUADse8nOPkiJf3oRbXKAcc5DZt4TnNE5nzRROK6L47oEQYAxmkQbEhVmKXyZ00qljO7ONO/lgODcim2i5WTNXqdOuqx14XsDGN+KpGNkCfcX/+Jf5M//+T/PCy+8wH/2n/1nfOtb38ryAj73uc/x7LPP8v3f//1HZpJfeeUVfud3fodvfOMbPPnkkwD8k3/yT/jBH/xB/sE/+Ae5pNL+/j6/8Ru/wZe+9CU+85nPABYAf/CDH+QP/uAPePrpp7NlG43GgY1gd0rd7ua792O9+7/Om6hWq8XXvvY1isUiTz/99JG8E09KSnEYs9vtdvna176WgfejgmIYA/mj+DXfSE0C7jAM+cY3vsHu7i5nz549FBRHW/tz045WMmFfm4InOdOgTmleMuE1q/OaR9dBtwcopRkOBxSLJYJgvpPdjDCN6yACD1ksICtF3IUyzkIVd7GKt1zHW20gT9UxjRL+mUWC9I9/qokMXNxaCem7mEShOn1MFBFe3SG8ukO0vY8aRKiBbbLrdcc3USkkTq2SfvYUjKXOCc5CDf9MPiieLAGE6210oYFYXkPMeIpaYDqgvrxAEPhH1v+KHHnKUUoWrGbQcRwKQUClXKZSreD5HipJ6PZ6dLtdhsMhSZJk3/lgMCCOYxbrteuC4qn9mySBjZh6wDCAkS5zH3qij87okS46beISM/YTs5gZ0EpgjEwJYpGuKyYWurm7jpCaJJaIwuizCVhYQZeX0PsRcrczBVAnS7d2ENXq4ePXF1CmgJpwnzD9Ac4Bv1kjBKZYR3f6c9cQ1dq3/saAcfPZbUOOzEBr4mvbCEfgnVlCliakMnnn5syDvUDkHoNZiYQQEk86lBt1qtUKxWIBIQRhGNLqtun3+0RRNCYO8phpNf8dmiiZ203VD3MlGidVo31+r2iMjwOgSyn5+Mc/zt7eHv/j//g/0mq1+Kf/9J9SKpX4m3/zb/L8888feayvfe1rNBqNDBQDfN/3fR9SSr7+9a/nrvPNb36TOI6nQiAef/xx7rvvvrlgiZ/8yZ9kaWmJT3/60/xP/9P/dOz319tSo4CP2/HnfVp3JGPc6/V4+OGHuffee488XXNSUgrHcXJZgI2NDV588UXuvfdePvCBD9zwtNJoLDPjBXqrNZJS7O/vc+7cuewidL0LdbTewj+d3oRTZk+40tolmQhZKOAXixYieg7eSoNJJll4Lt5SfXwhMgZZKuAuqBSLpEjXdwiHfXTgUK/VrTeySaGn51rGSVuXAGH9oTCJwmAlGaZaQu3ONs8ZRK9PNJj+/r1mlWRGozybrAcw2N5n2O/hux5BIaDdbmMw6FTDmiV0keKvgo+6dvXQ4+ku1lGbdkpbtXsZyy0KZdxGhU67hen1KNeqBOENslrRTSZ65ZxmUgh8z8NPHRRGCWjD4RCd2qsJISgWizhaHYn5HAP3MTNrzLxxnknmp76n3tdg5MR62XAp6zy1MxNstMKGgEgLUkYR11Ka6elDkxqTCWbGS/XFU6M7GC2R9Ro011B7XcxMdPlhJYICppMzrS8EorlKfG0nl7FWW9vIShnTnT5H5NIK0ZWJZs/JA5ko+ycIiA/wzXYWavnvSUm8vm+9gqXAW13AKJ3LBJsJyYNJ9ds6RzqlB1FuA50s+ugwxnFcHMeyyXKlRnhlmyTzTRY4+y5ekqQPZanMLi+5chjnnp+307JtBIzfbcZ4dM86iUjoYrHI5z73OT73uc/xq7/6qzcEPtfX1+ckka7r0mw2Dwx0WF9fx/f9OVnEbAjEL/3SL/GZz3yGUqnE7/7u7/JX/+pfpdvt8tM//dNH/5B3631RdyQwvu+++26Y/T3JZjYYP30bY3j99dd55513+OhHP3rT0zaz4x5XSSnZ29vjzTff5OGHH+bBBx88EvB265U5KYNtapOI/T7KjYgCOz3urTaIN/eml/SXiLfnm4Umdcej0A5ciZNoRBhnTWlerYTam/nOc46LHuTYig1jyGnGkcUAmL75z7JHcRQxGA4przXxhvH45m0gafenQLEsFXDLPvE71/CWGphuOz9a2nUgGZKHdPQgZG9nFwyUag28U6tghgidYAZ9GF4HJPsB+jB98WEVH86cCcYx1Fqn35UQCAS9Xg8RDvEcJ2ugOnAcKcZsbWYRIVJwNT4XdaJxfAdII+6msGgKgJTEkZMATE4wx6PXxstnr2m7rJSGaSzsjDckRGYjN2XnxhhnGi2IkwJK+QgUShdywzmu9wvTO9tQKkF//KAmCkW0WyaZ+91NrmjAD5g0phZLy9OgOGf7ujfAOXMKc3knX3hygH+tu1gnWm9n2443LPj37l3GP72ECSPr6mLMwSB4tkzaQNefYY5zfrOu56E9n5GEXamExJhMmzxyujDdwfyDltI2EXPmZ/d+BMaje+FxAWOlFMPhMFcyIYTgb/yNv8Gv/MqvHDrGK6+8ciz7clD97b/9t7O/f+ITn6DX6/H3//7fv+OA8XtdY/xHoe5IYHwzdTuAMcALL7xAv9/n7Nmzt9ShOznuoY1MN1Ajn8put8snPvEJlpeXj7yuv9rIedXY5rv2jA9xTohKHkBU7X4W9pAkCf3+wMYoL9Xpr0+DgTztZl7CVdLuzzfoCNBFD2YXz/PC3usxcjQYDkPiKKJcKlFuNoiuWIZXCEGv38OLIvxGCSeM8U810fttkpYFNvH2Pk6jgnCGmOE0WPdXx2zxZGml6Q9sml+xVAQNemePZBIseSVktYxTcK1eNgox/Q4oe3xlvYbZvQnG2BhM72iNSErZhkjP9ymkzhPaC1CDLkmSMBgMAHN4A59wmEQoRo8a46YWAiHnQfEku2hSMJz6H2TQ2kx1yuUzz8ZKK4Q7Xl8biRTTbHBmXyFGQNgdcc8Y42ASkG6M9C1jbFr5tnyHljHIcgWdfteiuUzS6mLC+YfJ2dI7uzjLS+jtbUStRrRxsF/xqGStQnSlhbtQI9ltI2Z+L3mR6AAmx74NwIQJUeokIzwXd6EKnoNAkLQH6bACEycIz5kL5hDFAGaBcd7D1WxqnuMS+EWSsrLa5MS6rYQ7u1ab7Njzb3Q9lUUP+tPXottp2aaUynz13806bklHt2uPYfUASdDP//zP85f+0l86dIyHHnqItbU1Nme83pMkodVqHRoSEUURe3t7U6zxYcESAE899RS//Mu/TBiGd1Sa211gfPJ1RwLjm5EWnKTGWAhBu93mlVdeoVqtcvbs2VsGs0IIhBDHBuajKOKFF15gMBiwurp6Q6AYrB2T26jM6Q6t3dp08x0506pqpkkOwCQKp1pksLNPGA4pFIr4vocp+MzSOnm+pqMb7lRpbS3Xppr6BMaREM9oLXPYZZMonEaJzvoWWqWJbdJBJyrVEkOlUrFWU0nCvgqRrqb4zuUJT2B7fqq9Lk6liCw76J4FPO7qQi4oHgFKz/MoBLbJzltdRG9P3yRMrFCt9rRdlpE41YaNIfYCxMKaNQiOQ8xwADk+sbMlyhUYXB8Yx6kPchAEU17hTqGITIZ46QPMKNQhmmzgc0cgRYJ0gAQrYrAtdJatnS6djOzaZmrydFOC7P6e9YJOrnT49UInBiEdpMjxyVUSowUaN9WtpqEkUmTvgT0/teMSRhHejPzpqBPJemcHiiUo1qx04gZK9/pQKhH39Zxrw+xUtvB9VGT1vmp7D3epMQWOnWYDlWMFJxyHeHsedAvPIZp43cQJ8eYu3vJC+qAp0CUPuVDDL1m5le4ObExzCpDzXCRym/fyNMrp71gIiefJ7NqrA4e43ScMQ7TWdoJCK6RWSDnhfHMbQz7eK413I4B+XDK9Xs/OWBxEBi0vLx/pnnP27Fn29vb45je/yRNPPAHA7/3e76G15qmnnspd54knnsDzPL761a/y+c9/HoALFy5w8eLFLCgir86fP8/CwsIdBYrhLjC+HXVHAuObKdd1CY+Q3nUzJYTg/PnzPPTQQzz88MPHdrE5LmeKTqfD888/T7Va5Z577iGKbq7ZxF9tzDfkSDHpigUckEbVG1qN8ARzbAz0kpA4DCmVytn0u8jrpckD1mGEKAWY2YjZYgCzNzulmetI359nl7XW7A+6eAbKlUr6XRp7g8967ASu71G6b5WqSlD7e8ROQhRHDIcDpOPguZ6NH+8OMMUAp1bBhBHksLJxFDMYDtJ4Zws2DcDwOlF4oxIC1R3YRsE9A1MPgC4iKCKLBUTgpuyosULbJIJoiImGiGLpusA4jCKiMKRYLM5Hq88w+o7j4DhO6jJgiFNtctQPAYGXErqTymKtc7S7Ckh9jg8sY9BaIqX9jm0K3iSuyhGwZm8J0GASiI2PNg4qbTwRjDTOBsHIFzp96FGO1boLuz0hgGJAtLPNIEpw5dhJ4UjNfNJBLCyhhIe+snH95XM+h6k1MRfzdZhTn7dUQU8AWbW9ZzXve13bDHsAi+g066j1ecDsLtZR1+b11Jle3xhEL0InbZKaskA2PSQi8HBKAU4xQJxujr+0RCN8B7dexsQJOkpsL0FeyMcwzrVxC2plZKgyp4t+v48ilQAhsoCbaOf6rPxx1Xsp3GNE6hxH9Xo9CoXCLX+2D37wgzz77LP8xE/8BL/+679OHMc899xz/MiP/EjmSHHlyhU++9nP8i//5b/k05/+NPV6nR//8R/n537u52g2m9RqNX7qp36Ks2fPZo4Uv/Vbv8XGxgZPP/00hUKBr3zlK/zdv/t3+YVf+IVb/uy3u0beO7djO+/Xet8A45OQUmitee2119Ba89hjj/Hggw8e6/jHsc/r6+u8+OKLPPjggzz88MO89dZbDIfzIPMo5a0uwIyXscn8aMc/I9Xp55pmOdVSZtmmtbU+04USlUp5mkWJ1RyWUJ1B7s3PrZSIZ4DxLNMkBDCIrY/s5L5rjdesZtPGI4lAUFugUBbjz2Usu+xVi6jeAH+tie4PiFO5h7dUt25j2jYhjRLmMqupwRC3GFB5aBl9daIpz8AwHBLHcRrvPP45eitN9M48s3xYOc0GpjW/jgljVI7eMytZxNUlRLAMnotwRPbAk+oN6LT3iI2ivrCIY3Qm3RiVkO6BF1Ix0cAH1ps6iRLbMJmtZFL2NaeJK6cxb24ZjQWHxiBSUDwaTSuBVrY5DpFqmUdsiBSgzUR6nkBpFyfVHguM9Vg2I8gtrPxitEOjRlQpCCplCoBZO0W8uZnJg8BGS8dxPC8rCQqISoNkp4O52rIPGL4HOTKhg0ouLxFtdWF/3YLXVg7QS7cpl5eIr86DWLWzb9ft9ogP8vY9AETpPAs2R+ayy26jnD4c2TJhbM+HTjgnt/JPN0n2J7TTjkQUPJxaEeE6NnrbERaAO9LOVE0094qCjwcYZSzg1wnFSgU3Eqg4lVyEEZ0Lb3Hlm99kcXGRxcVFKtkD8fHXnRLucaPV7XaPFDx0lPpX/+pf8dxzz/HZz342C/j4x//4H2fvx3HMhQsXMutMgF/91V/Nlp0M+BiV53l88Ytf5Gd/9mcxxvDII4/wD//hP+QnfuInbnl/b3vdLseIu4zxH/06bmAcRRHnz58niiIKhcINWbEdtW4l5MMYwxtvvMHbb7/Nd33Xd2XJM9eLhD6s/LWFudd0PxxJcsfbThRupTgXviELaWRwCkAdx2Gh0SQOp2/UupPTmGYMbr1CMqN9lH7O9PscYy0Qwxi5WJ5rCBo14MVxzGBgWduSG5Ck0/z2/y3SclcaiJYk3pjWkMbbbYJTTZKtHYQEz/fwfJswNwrO6Lqa4Ytv4NTKFBolvE7HOjtonRvvLOLwhp/YhTQ395SvNaY/QO3naFMN9Ad9jDaUSyVUR6BwENJHBB7C86xmVBShfjplUJl2Qcu4Vuvi4WEQbofh/mXQBikVGINKRoYJDkLIdCyBjhLcSamEFCShN+sGBsIgHQV6lHRnVzBaTsiNbdRzps8QYuL6P5JFOCCT9Lu3CXvjBr6JhkFExkyLCcZcug6e5+F5HsbAcDhAa00URTZl0HGQlRpeuW5nNtoTsok4wVmdDeE4oDwXas2pmHYdRmlz54yGF3BWlolyQPGoVGsf95414o29ufNIOA7RVo6MwndzAbDXrBNPpFeCfUDSOYyvuzi/bDZLM/mK0ghHomYkVG6zkqsTdqrF6TS+YYxjAI315S4FCMdBnmrA2hqtVot33nkHx3FoNpssLi7SbDaPrccD3ltSiuN2pCiVSscyVrPZPDTM44EHHpiTBxUKBb74xS/yxS9+MXedZ599dirY406uu1KKk687Ehi/2xrjSauzT37yk3z9618/sca+mwGxSZLwwgsv0Ov1ePrpp6caIm4FbPur88BYdYeYnBvxQal0IwAa+AF+EOR2qZsoQeUAXlmY75Q3yfzxmWzqy5Yz4NTL6Bm3DGMM4TAkiqOMtU32+whPomOFWy/hVAqo3S7xtVauzAMgvLZLcM8SyfoEoBFWwlO6b5XS+ha6XCYJE4aXW7RdAeUC1SSxwHuCYneXFtC7hyeazZUr0Xt7110sr4wQmM48uDEpqy+kjaGe8h3WCjNQkEZqO46H3j66LtYojYmF1RWnWNMoBxW56FikNz5tpRYalHIRo6Y4aVnfOe2xAS0LOGKkOWX0bDO1zOw64xL5y4zfYU66bOwKIvBSSzKB2W1hpIPQKjXfEDiuSyEIMLUGg35CvL3HcKs73SDm2mY1tbtnQW+eo8lo0/UaamjQ69MPaaY3wF1dItkYnz8GUJUS4freocy7bFQJL28jPdfqjrf3svecxTrq2jwT7TRrh8soRvtg7DHKS5rLCwdxF2u5y86CYgCnGJAwDYzdenmKbc72Y/Qgrw0mTICE6iNnaJw5w5kzZzIry52dHd5++21efvllarVaBpSr1eotsaLvFSnFSVm1nRTTfrfGZbTIehtOejvv17ojgfHN1HH5GI+ikx955BEeeOABe9M7QceLGx232+1y7tw5isVibhPgreiWD3KmkJUAtTvjozrTTGMMdHb3CAc2tCNr0urM63yFAJ0DjPOmclU/R3scJ7i1kh2bMajJc7bYXd/EJDHl8ljOIUsB7moNvdcl2euiJ5L03KUaDMNc8BReblG4Z5l4Ahx7a02SlP2T0sFxrFa3oF3cgSByPLoe+P0enpRWl6puXAPuNBcwNyi9yNat1zDtGdY+tc5zXddm0l/vGpkcfeofSOOCBVqBnPhaBAIpJMgULBtjPaM10w12EzVpn6ZCcNJ+0PECecKe1Oxi0t1i9LrM2UD2P7nI2NqAkTa6JQmiuYzZ2QYERkp0tYEWPnqrhw+p57fJmhSHYYgZaBzXwY1dvFNriO0cdwsBcnnVssQHaJeTjW2cpQXUdvqdBj6mrxHOwfMJouCjBjEohVYKHUZ4p5eIrm6nM0L5J4DJCdI4SEbhLFQws6yzFHOzQDCeXZost1Ei2ZvX3ec9gMtKADPAWBVcTDec01CXPnTveD0pWVhYYGFhgUceeYThcEir1WJnZ4eLFy8ipcyY5MXFxRtmk99LUorj3I9er3ekoK27dRxlZ9Jux3ber/W+Aca3Cl611rzyyiusr6/PRSefFDC+UdnD1tYWL7zwwqGhIrfCGDulAKc6BpyjEr7HLFqZZHKNMQwGA5IQyuWKdSUYv4lbK8+5SOBKjJphfXN0sqozyJ06dsqF8X6m1OFkCIExxnrvSkl5oUHQrCA8h6TdJ+n0EDsC3R/OXRqS7Tb+mWXia/kgdHC5ReFUk2SrhbfUQG2Pgxms80Qf3w+yTmgPKMUGFdRRVY9e2Ce6fDlrDHJd70g3MCFuUkYBiCCYWjdJEgb9CeeJI1wfzc00to6cQoS0ImEp0YnOtjdiW0cMyci/ImuuY5JoT/8rNNo4SDGyb5vSdEzv80TX6OTnl1IdEKwzo4EebVwKnNRJZeQ4J9AYP4BKg/jKJnKrg0q/c5HtccoWOy4E9hozkt4MLl1GIvDSJj7HcZCFIjooE125PjOvu30IfEgUiZGIqA/FA0CclBAU0JMA1Rjiq9t4zbp1mciTUQQu8dY8i5wnowByLRu9xRrR5vzYan8eAMtyAWaAsVMtkuQsq/s5M1EFF2aeo91m5VAP40KhwOnTpzl9+vQUm3zx4sWMTR5pk4/CJv9RlVJ0u91bsie9W0evu5HQJ193JDC+3VKK4XDI+fPn0VrzzDPPUCwWj23sw+qogNsYw5tvvsmbb77JRz7yEU6dOnXomLfidOGvLTCYBcY5kawjnW8WBIGgUijhloI5DbAsBDAzFZpn+ZZ0clwaRsC6NXNzdWancsfOFqbgsR8NKKw1qAQlnJJPeGUr0xMLBKrdxz+zSHx1XtIQXdnGX2sSb84zegIINzsU7lm20oL0c0RRlFnSzbNMAkeD3I8pNRuYco2YhLDXYdjpIFMm2Rv5sc6e/66D3j1YO3q9EhN2bnEUMxwOKRSLGat/vTIIawt3o9t1JAiF1gIpBEYZqyP1nOmr8kjhYCRCpDZTjCGqBaI2tU4IkzXiMeeLzCSSzvsgdnMCVOLiuIf/9kZR4GO/Xev4IIsVdAJKxcSXN1HDIV6hMAHCzRj8T+yMlBJf+vieb9nkRp1kY5PhcEhYLOK2+njGsvjXA1dmGOIsN+0xe2fDPgQcUHKpeaA9XNLaxz29ilcyROstxMTv0m3WUVdzfgN5wTuuRO/2kDnn7mw5CxVUjoWa7s7PDjm10rSOGJCVQr4FW6wQYpYtvm9+uQNqkk0GCMOQnZ2dKTZ5xCQfxCa/V6QUxw2M+/3+sWmM79bhZbhNwPjkN/GerTsSGEPKJN3A2XGzUord3V3Onz/P0tISH/rQh3IvJsdlq5Y37vX2OUkSvv3tb7O3t8dTTz113SbAW2m+A/BXGgxevzL9otJzP9SkMyBOFIN+33rzFgoIYRmeuea4GY2hECAiBd40ijFhjCwX0DPWbXnTriZWGCltAIknULsGp+ATCUXv0ialQgFfJyTdNmrfQZaLqG5/CqhEV3bw1xaydK/Jinc6OJUSqjsP1v1mlWSrjbvYJNnaZtjvkcQJpVL50JtRcGqRZMP6FruAi4eoraFKLlE8JGzvIwf9meAMad0oblJGAaD71oouDEOi1CHDOSS5brZkoQDREa3lJko4NtXORjtD5kPkODOWc2LsJpHmgszjWytUFlhgrJC4UuVOOU5Igw+sTDowSufLXcgup7wGLJxCd3rovQHsWfY8LJeJhsOxvd2okXP0OTkYJAsE3nCIW60gak28y1skRmVuJ1JKHNfFTW3xZskCEQToRIDjHvos4Kwu5SRajstdWSS6ZB8OnWoRWQpIUjZYxznXpgNkFEnZS2cHJn7P5IdruKVgDhgfyAzn9Ci49RLRDIiWRR+51YHS9HT/jQDj2QqCYIpNbrfb12WT3yuM8UlpjO/Wydfd5ruTrzsWGN9o3ajcwRjDxYsXee2113jssce49957D2SqT1JKcdi4/X6fc+fO4XkezzzzzFTgws2Oeb3Kc6ZgEDGLMqLBkD4xpSDAD8b7JfIS7OamWAXOMMH48zZdTmUeGCMl7lLNaoilxCQKHca4lQJqr2NvAt0enV7CwDFUKmXcCYN/nWqS8+BDvNdDFgvowfQ2TZxgSoEFcRPHMzjdtI1PxhBdHtIzCbpYoOabQ2+IohCgclhfE0bIMKIA4FShXiSSmv6gi+h2cKSD2wvwb5YBKgSYfp/BYIDSinKpNOeQcb0ShQLmZoBxCr5HuHPc4JZjz5YKiUcX66n3hZj6X60ljlFoM354nlorJZOnJyVmtpix1DPvaEgSD4MLSiMdjaM1yfrkzIJt6OyrhFqpNP5eRAp+s7GndRyZGEbYzyLKdXAD4svrmS80vo8xqSVgGsNrjJkIT3FwlxdJ2iFma98+LzQqiN15Ha+z2CC6dnBKn6xXiLbG6+nOAN0Z4DSr4DrEORKIg2QUIpmXpnhLNeKt+f1KOjkNdrMOE1hpV5LzuWxT3XS5CxXY3JmabHFKAcGDq3PL3kxJKWk0GjQaDR5++OGMTW61Wly6dAkhBM1mMw0aefcBx0lojO8C49tTd4Hxydf7ChhrrY/0xK6U4qWXXmJnZ4cnn3wymzo7bOzb7Uqxs7PD+fPnOXXqFI8//viRL3LHIaWYLTOIMCnra+2prDdv/YE1RGu+M3y2Zm94diBwakVM2/oXO6WCZX2qRXzXtU1CwxjVG1pG13NI+tM3am+5jmIMQOI4puaVKN63Qnh5O91f+55qdQjO2Gajqd0YxsjlOmowrzdW+z38U03ijR0QKShOtccjCYmUkrIo4q42MWEf08uXHHiNEsnmdZwoDNAZ2OYtPCgvo6oBYTKgZ8AbDvEhk1wc6QZcKtHbtYxhuVTOdQi4XgnPualpN+G5aQecBYsjFlcnBmdyN7L3DNpInMnmODGyTJsQV5gRwywRaMaQcwKIzqTSGDPK30uHlelvRBsS7aJjB2OwcdECpFCY1B7PKfuTAzEYDlEqoeH7OOUyepD/nWffT+aeYTDSRSw0Uft9kmstq9/3PIjjqfVGdnAwkTKYxPRdl+DNa7hpwIx0HESnj6kUIZn4fOUi8V7/QDZcBD46NHPafbC/FXe1iduoIAs+0eZe9nCYJ6MQgYe73YHK9MyOyJEauPVSPjM8nO8vcBYqqNlwn8DL9WEeJ+aNT6zi4/fkysCOow5ik69du0YURfzhH/5hJruo1Wq3HSyfhF3b3ea7u/VHpe5YYHwzUgq4/pPyYDDg3LlzSCk5e/as7ci/TjmOQxzfWFf+USoPcBtjeOedd3j99df54Ac/yD333HNDY96ylCLHmUIg0AVrV9Xv99HasrJBsUjENDDOu8GpMMZdqCBdJwVLguRKhKyXMYlB90NUp4/q9BGtjr1pzwBMr1mdC/qIt/ZxVxt0v2NDSUYG9NHVFk5j3PA3uinF67s49TJqpps93trHP7OUrze+1sK7ZwmZRBkoTtRYQhIUCggg2dwFR+KvrZBsb0+5cLhL9euD4ryKFcVCGW+jD6ZAojxiDF0M2kBQ8Cm6Ek8lyBwNvNaavb1dSkJY3fzN3ptvknmSgTfp65C9bpQBXzJlVGzGoHfMrIoDcN2Y7tVIJHpSkJO+ZcgMjCfYYa0cG/VsBImx4NlxNELmRFMLQEhk4GYD9AcDTOpNLaRE1qsHAuOpoQoFZG2BeGsPvb6bXdtMFOOsLqE2ps+PSSDlOA5evYbGw9/toHzScJF+qkJJA0lKZUh9jo1wMNEBQT9CIEplVI4kAsA9NS2/EL6Ht9pADaL8UI9mBWYcNgz5UcyyUoQZYHwgM5zriVyZ82oWnkO8M79fxVuQUdxITbLJWmuUUtTrdXZ2drh8+XLGJo/cLo4y83erpZQ6Vn/mXq/HmTNnjm28u3VwmdvkSnF7nC/em3XHAuMbrdHT8WEXhO3tbV544QXW1tb44Ac/eEMs7M2myR1Ws7KHSSb7U5/6FI1G45bHvNFyKsVcna/2JN3dHlJKKpWSvXGPwJ/j4JQLyIKHDDyc8rKVO0QJehCiBxFOqUB0ZXzz99pD4kvbeNUSk9SeSRRuszAHjOONXfy1JtGEr6tSivbbV23DX3eQgQmjtR1SSsQEsjJKI4TESDHVZAQQre/iNqqovekbtLfaQO93kfUSxpEkw5DBcEhh5OgwWUoTXdlGVko4Cz5qu2X11fHNRXQbQPdSEC/SCGKgiEHHmngQMkgSukohAg+/XqFQLeH5LnG/S297i1Kjdmug+BZKeM4YlDKZJgdIG7lsDOMHuRQIW+9jc7D0d+J1rQTCGbPBdnpQkiQOJhFjllpLHEcxkvwKYVDGQYgR+Jp2pEjb7jDSAUQaOTzA4s9xApjpHy4xEeUKFCokm7uYzlgnPgl89VYLWS6he+OxJkkBd3WFaHMfkhApBDILFzForW2QzGDIrtH4iUYuNHBbnQMlM+7K0lRoyNR7y/PyCxPFRFd38E8tQWJwKnV0PyLe7dgJgRwA6y3WiLfnwa7OsV90GuVcZjjJAbt59nHeYo0w3eeMpHcdio/dfiA3uv+cOnWKU6dOTbHJly5d4uWXX6ZarWba5JNik+9qjO/gMnB7ku9OfhPv1XrfAGMhxIGg0BjD22+/zRtvvHFTLOxJSimiyIKm4XDI888/jxDiyEz2QWMaYw6wozpa+asLDN+8lv1bOYIITX21QXWhbgFDYv1QnVoJ1e6j2j1Ueh/zzyzN3Vyja60ZU36BUQpZ8Ofs4eLNeRAMkOz1EL6HiWLiKGYwHBAEBUqrS+x2L2XLGWNQ+z0rnbgyzcQlu12CM4tzkgqUtoA61RSLgo+3UM5S8KLegNAVhMJQHTVbHVC620d3+7gri7hll+TK1QOXPay8pYUD3CgE0nEIHIcgCMaa1N0u7a3d9BiAFxRxkwBVKCN9D+FKRBYFrW0DnEowUZjasR1wpVQ36cgibJSyUaOGtBErbNAKRArsxFQ6HegjbM6yvg7hwAcDfhAjhEGgrVxEk/6bVPs7alEzWYOc1nPmJuP9JgXHnpvJZhwp04eMCVDb6SJrNXR7GsTJRhODS7y1C+Y6D9XG4FRKmP4g/Wd6nDwXUaszvNKaeq4Z/a5HHuvScXCFS9kNiFfrxBc3CeMEIZgIF3Htv1cPBsWyerD8wltrZjZyoxkXp+jjLtdRYYT25NT1RgTz5IRTLZDs5oRy5DHDzercNUS4Ti5YnhGkA1B4eA2Zsw8nXbNSvjxt8sg3eZJNHjHKx8Umn4TGeDJI6m6dXBlt/9yO7bxf630DjCHfVm3S1eHTn/409Xr9psY9yYCP3d1dzp07x8rKCh/60Idu6YI2WvdWGIPyh+5DdYfoMKLf2ifs9gk8h2Jz3mPVP72Iak8D2+jqDu5CdXp6VGs7xTvRuG4MxFt7+KebczfrSRCcDTEM8U416bx1jSgKsyCReGOfpBqMG7HSDcyD8dH+teb3D+ut6p9ZRKBJWu1xNHTq06yUolKpEJxZIlnfvC4Ja5QiuryH01hEFlz07i4mOjp7fFR95FiT6hKGkigKcV2XKHBJtrZwUnDkHWYDJjxk4EPgI30H4ToIKa09mufAgms/bxrIYbG1vbIaoxFGWwYYQCuEMRijMdLD6MiCXQNaCxLjYvoOwlFI4SOEgxrGdgpxxBhDqh9Od08CxkomtJbg2tQ5V9rfu9EC6aT7c9Bxsgcr3eexdUS+ZCvljAOHfq+H66VBKDnfuiwWUmAskItLqFBbhvcGKtncwW3WSVr7FvAuNEj6CcnG/rhpMdu1CS1x6qphSgWccg2z2aZwzxrJXgc1jDKXCz0cQL2Cd3ETVzrz54HnYMiXXziNKsnG/OfRkUJ3BiStDjLWOMtFnErRqr5jlR3DbJxaCdWZd5zJ1QznyMHcxep8458gDRCZ/g5LH749MorZup62NwiCKTa50+lkIPmVV145Njb5vRwJfbcOr7vNdydfdywwvpkLwqxlW6/X49y5c/i+f2RXh7w6SVeKbrfLH/7hH17XGeOoNSkpudkLY/27P8Te//EinfUdkiShWCwyHA5xFyrzTPDVFu5SjWRSe5iCjlkbqWSnnbK1093jyU4XUfAww2kQ7J9enNI6GgP737lMVPKoejZIZIQR5FDRFQM8ZNa9L7S28cKpS8HkQEaZqUQ+g9VX68EQpxhg0u/baE0/1ZCWKyMN8w7e4oJlWnv5U+miEMAwxGhN0rKgQkgHd3kFgUbttqZ0yLMly0XUztEjmEdNYUkyto1zTy0RXzMkcZICpGHmmWyPkTv+fkzqTT2MmN0r6UvMTfp4q8TDBv0ZhDRIodFaoNH4JR+hdAZ4BbbxbfSvLCKaEZ6dBj+TGjmjQQkHRyYHIOPpF4UQOGkDnpjRMmf6XwMRCb5fJAhm4/bGpft9xPIquj0kyolPPmoZuzM4qyuEV3ZSiXOmRbEs9mjfJvY1aVRx2yFJ1LFAcXsPZ6GGkBInigkIIPAZDhOSeECYDBFyHFUtHQevUSOeiVMHG9NuwgSTc676K3Wia61xg2tngOoM8E4vEm3uW1lVrYTwXVAGrUcPI+Pj6Darcw/FBzHDeY2j1vmiPW2LLaD4wXcHGN+IXZuUknq9Tr1e56GHHiKKoszp4oUXXgCY8k2+kfvXSfgY32WMb0/d1RiffN2xwPhmahLAbm5u8q1vfYt77rmHD3zgA7fEwp4EMNZas76+Tq/X41Of+hTN5sHpTDdSk4zxzVZkFFuPNfCvblGpVDJ2LbrWwluuz6RhGYgVRogpPW+y2yWYAbYA8XYbWQyg02V0e9dhhH+qmQO6d7LtaW3SIBFYKFXszTqxrJQQUAuKmGaF6No2gxTIuq6LG8cU71shmQEsar+Hf2aR8Oo2/toCJoxsAx2gdru4CxWSMKS3tYPjuhQLhakp9HinjfAcvLUl1PqM04UQeNUCSWtv+nWtMhZa+AW8lRrEQ9Tu9HIATr2C2jhaqIZNHuxjjJmKvjaDIVJIfN/H922oRJIokiS2x8iAkzLJ1jN5/kIpCgEmuvFwj2x91wERp3hIAlayIlOPZkYwfFrii1YC54Crlxg95cwAYKNACwcpzNSbBzMjBqUcpNQzg6WSCwPGs/KsKIrxXDdzZRDVGgQl9DAh3m3jLpZRnes7tBxWBolz+gzRxfX5W9ZIOzuSURgwroMul9EXr4EfYFI3D4FAtdo49TLGkegwQQRF/H4Xv1iy4SKJIlEJw3BIWCtSePtaJrmQMtsYslScfuhNa/ahdVTeqSbRFXuO6zBBp4l6/plFkis7CM/DqRXHMgfHsa4nE57J7lKVeH1v7vPneSKP7SFN9vP0zyzh1t8ddvNWfIx938/YZGNMpk2eZJMnnS4O285xa4y73e5dV4rbVHcZ45Ov9x0wTpKEN954g7feeuu6KXE3Mu5xAuMwDDl37hxhGGYXu+Mq26EubhoY7+/v8/zzz7P44ftYbEsGFy6j1LgRSofxFNMKkByg54239hGlADPRWGOiGG+tCZs7UyxPPui2LhcKQ6/bxXVdisUiph/in1kivLyVSTOEkIjdPtX7TpFs7aESRZzEhGFI//WLOOUCfmRwvVRO4FktduH+FaKLG3PHYbi1Rz8OKawuEvRD8thCEyuiq7t4q0uYdhsTWplEcHqReP3wQA4TRUTX0mCFSg2nVkJ3O5hez0Yn7+U7BszWpG1cqVQaAyffQ7enp6gFAi8FwgBKK5I4IYoiBsOBZZlHbHLqAy1LRfQtAGPpu5nDjDYCOeGioJWxXhU512crSZZj1niGERx9ornjoSQIg2Dy9zqDuideM0bMv22MnWVwHSrlMnGSECnNngAHlyA2uP0OjjM5W3CTnSxC4CwuoiNNvNVG+qGN8L5OBLfTrBN1hnTfuYbne/hpw7GN07b7kux1kdUScm2J5NL4tykQ4xCZexcYXmuRuA5xEjMM7cOU67r4p5dyQbG7VJvX/wqBs1AhzpFceMs14nR5EyckqXTCP90kumR/J065gCwHCM+19m8LZVRnmNmwuUs1kpzY6ixa2tLtwLsno4DjY2qFEHNs8kib/OKLL2KMmXK6GEXQT+7HcWmMR25Edxnj21N3gfHJ1x0LjG9GUiCl5M033yRJEp5++ulj+yEfJzAeAc9ms8n999/PW2+9dSzjTtbN7u/Vq1d56aWXeOSRR3jggQdIzjzIxV/5TYS2gM8YUO0+wZklwhkQHK3vIitFdHcMokyc5NqsRestTKMIw2kwoYdx6lYw3vdha59OAcqBj+8HWVBZeGV7Ilp2ohmqF4Ln4ECW7qa1RpU84kGbnquQvk8wiEguhziOk/kbj0aJoohhGFIsFPC6Md6ZZeL1ndymJLCOGbLo4y41kS7XBcWzpbr9LGHPbS7i1kuY/V30cHjo70ApRb/fx/NcCsE0o+3Uq6jtwy3iHOngBLaBT48a+JKYMIwQqQuGrxXurCbmBkr6TtZ3ZwxW2pLKAnRskH6qkTWQtbyN3j+ANbZg+WDXCpUIHEeMmeWcmsLBBwHnoIKzeg9iGCN32/hKkYSxtUpLEhDguh6e62K2WlZf2z3iQ4Tj4CwtodoDogndrI4i3JUmyWY+MDaAt7pC/9IGg14fPwgIpqbYU92QAVEuYqRHcnUHd22B5FprzDwjcOpl4p2ujaoezSoYUElCXC/Qe3t9KlzEdV2bbNkdTv8WDGjPwYRqTnLhlAJUd2hTDSfKXahM6YVVb4jqDfFPLxC+uZ59FKdSQJYCZKWI9Fz7oNztYyI1FS1tGJ/+xQ/de7Tv4ATqpJLvfN9nbW2NtbW1KTb5ypUrvPLKK1QqlSlt8l2N8Z1b2bXyNmzn/Vp3LDC+0ep0OrTbbQqFAs8888yxejgeFzC+cuUKL7/8cgY8d3Z2Tky7fCOMsTGG119/nYsXL/Lxj3+c5eVlALzFKgvf/wm2f/s/TC0fru/iVEvTbhJK4ZQKc8Ag3tjFW23MNc2IMMHI6dNTdfoE9ywRXt62+s4wJIxCqqJEYXWRZLeb/phtLLAwpBKOiTF6Q4IzzalpXrdWolAvI1YWGVzcQA1ikjhhkOpmh28M8FcWcMKYsNMlTmOT3fTGEl3ZwV2sYcIhup8PWPQgwpSL1hasuYBq3ZzWNG7tY5IE3R4i/CJOvYL0HVAxutPJgiBGcgjfD/L1rzcYbCCFwPcs82gApRKSOGG/08bvdnCcCcnFjYSE+O5EOt3EPo3A9mQ89BgX20VGtkU5ANdoObXO6O9GA9L6FTtOkk8WM37Ncca/E6MFsXLR2kVog1+SRFemLdbygjfCMEQPBhjfoRBFVrd7ADgSvo9caJK0OgdGNSebLdyVRZLN6fdFoYAsFOm9s85g0KdQKGZMcbZM+l/31BLRVhsT9xAGkvUW7kqDZK8LUYLxHVSsbSrlxNcpBBRWmnh7PUylglaaRCXEccwgCpFS4Q1VpuMH0BhMwUPNJlY6ElHwUDMSCFnwMNG8bnmOcTagukOcWmkMlkfLlgPcegmnFIAxhL0+ZivCbVbwTx3fDNyN1u2IhD4Km6yUotVqUSwW59jkm6m7rhS3r+4yxidf7wtgvL6+zosvvkixWOTUqVPHCorh1oGx1poLFy5w9epVPvGJT7C0tHQs4x5UN+JlnCQJL7zwAr1ej6effnrOq3LhP/ou2n/4GnRGnd8CbtBmTXWG4DpTKVtimODc14SZ5Lzwyg5OvUzn2jZKJZTLtpFMyJHh1sh5wjpXBGcW55wywistvNNNpBTofkiy2yXq2pt2sNwg6fTwQgswlVLEScJgfZvEleBKisJHzjC1yU4bUfBxlxskW3tzx9FbqqH2OlnTnlOr4VYLJDutMfA7QvmriyQb9vOYKJnelgCnWmOAptfr0Fhcwj3A5cJ05/WYRy1BavPluFSWmsQpAIzjmOFwiHTkVETxQaWVpj/op1KX1MQiy8qwdoJG58RDT+yJ1hLpqLlGzkwCMbfno/dBacd6F0+9P3ai0FqilSRRDkbZxkAhBGiBEAqndHiz0yjGObPMixWxVoS9MGPcR39EqYis1ok390hygmRmS+11kIUAPbQPYu7yInGrS7i7zXA4tI4seZaBnoPTbBJOgm6R6o6393GKAdRLoCXxdgpCzWgxgSz69iEvBa3SkfiOZZPd1QaDy1skWmc6fsdxkCt15NXdueQ7f7Uxbw0nbPxzPCOLkIEH8TxYdpuV3Ahqp1YifHtzfLySBBFr6t//idzjebvquJnao9Qsm9zpdPjmN7/J9vY2b7/99hybfKPAPY5joii6C4xvV023SJzsdt6ndbKPridYR5FSGGO4cOEC3/72t/mu7/quLHnouGsUs3wjSXyjGsWD7uzscPbs2QwUw62n1B1UR42F7vf7/MEf/AFaa86ePZtr4C5ch+XPfw8wPfUSb+3lMjPJfm+iIcaW7g/xVxemxxWgNvZwGtPb1Eqz195Ha0W5XEl9mW2zm396tD3BCATF67s4tRJGWB2if2YRp14i2e5YYDmTvhVv7SM9H6dWyo6V79sbuqcMRVySWoFut0u322U4DEmUBWZmGBFvtvFOL09dU9zl+hQoBlDtHuGVHctcrq4gy0eYhpQS3T2kgcsYepstwitb1CKB6Gq0CaC2iFxeRTYXLSNZLk6FRdxKmSjOptpL5RKVagXf9zNtc6fTYTAYksTTbhAqUfT6PTzPR04BBcmkwYSOR2xyyvYimDQ1Pug0HrMdE2B4dhktUIlEKUEceUSxTzj0iaKAOPLRiYMxEp2MoqAFSeJm7hCycHReQQiBZ6B2/71Uq9XMh7wLbClob7bpvn0NFR0tQdNEEbJaBungriwTXdtl2OkRDoeUSsVcUOwsVMEvEl07zM1EIHFxfA+3XECk/wdgJBD4qN5w7lrnn1kk2djD8zyKxSKVSoVisYhcqRNf2011qD2iKEQrhXd6Idcv2T+9OAeKEamVW3fGyi3IZ5bdhQpxjh1e8tgK1SceOeSzn3zdDsb4sBJCUK1WMcbwsY99jO/5nu/hvvvuYzgc8uKLL/Lv/t2/48UXX+Tq1auE19Gxj6qbPmTfbb67PTVijG/Hn5OqVqvFj/7oj1Kr1Wg0Gvz4j/94dh4dVMPhkJ/8yZ9kcXGRSqXC5z//eTY2pvt/Rj1Uk3++/OUv3/D+/ZFljKMo4oUXXmA4HGZMZ6vVmvMxPo6atEA7LNhhtjqdDs8//zy1Wo1PfvKTc+ueJGN8PWC8s7PD+fPnOX36NI899tihF/PSo6cZ3t+g2kqYBCLJbo7X8MA2xs024s17GwvQZoIJHmtmHcel/uh9xNdak5kQJFv7aSqfvaDLcgG3Xkr9fs1co1C01bE34pkpa9XpI3wXb7nBcH2H/qCP547jnYMheI89SP/SOiq28c8wdnAwl7bwlhuYfh+nWkTttnPtrMDqrEeMtreyiBCGZLtF3nOft9IkWc9nEw3WS1krPe08ESuS7WmQ4N27BH7JBnoIm9qGSiCyfrbiEJu4ue3OxB0fJicYDAY4roMQgiROKBQLeJ7HQKYPMsbMXYyNNuBJEGrWyWu0RYyWCKmZ101MHh+IQxelHBA2VU8IkzpOCITUOMKk+uRpZtk+ZwlU4mI0SBeEe5PgJrbXn2B5GV+4eJu7Vo4gHZIR455a5nkjxv2A5kOQuGu2OXQYhsRRRKlUmmMkDeCdsuA5z/93VN5yk2S/N25wdR2Ce5aJNnchVvir037iI3DsLdXmZmUA/MUaTmeIExQYhkM8z7f6a0/hvnEZV0pc18N1bXqgv7aQP87p+VkfBDj10hwAloGHyWGW5Vqd5OkHD/zst6uO2w3iZmp0T5FS4nneHJu8s7PD1atXefXVV6lUKlkTX71ez70P9NL0zbvA+PaUNgJ9G2QOJ7mNH/3RH+XatWt85StfIY5jfuzHfowvfOELfOlLXzpwnZ/92Z/lt3/7t/nN3/xN6vU6zz33HD/0Qz/Ev//3/35quX/+z/85zz77bPbvm0kI/iMJjNvtNs8//zz1ep2zZ89mgNN13SM/Bd9I3QwwHsk7HnroIR566KFcBnwEjG8lpS6vDpNSGGO4dOkSFy5cOHIKoBCC3sdOsfK1DZhIqcrzGoYUBDerqfF+tmGY8DYWKa5JWh2CM0v03ra6ycAP8IOAZLttHS16w8x5AiHwVuppsEDfNi6lukanYkFyst+f2mZ0pUVwepHw2s70VHyU0L+6QycwVNR8vHN8tUVpbRnV7qGjeAwAo8gCwMEA78wiRTntgXtYjXxinWoVt1pAtXbH/sCOgzrAicLGEfdBCMoTccQHlRkOUTt7B7wrEYUishggfdfqQDEYrSCJYThEh6E9Vr6Hia7jjjAhJ7DxxCFxHCMQhGGEUjbYZXTejB90TMZUIh0gTQCZ//AkicRxDCCzxhRtJEnkYeXOGulYcbIjNQg91iULYZOklF1XylF89Lh5T0rLFE90ps3NehylRLmM8QLkyimia1vZWJkcIfAx2mTynf5gADPNbcJ1cZcXSfZ71vlBCvq+RHXjqQeibJvFAFkqE+YAzqwcibcytlHLKlE2wrzo492zQvjOZsbCZLrwUoDqDKYYZCEEIvAwscYkeiRuwvM8glqZMhDrwcQDk0bWikRXt3CRU5/BW23kaq1vBCw7pQD3P34COTiak8tJ1rvNGMMYGM8CdCEEtVqNWq3Ggw8+SBzHmW/yt7/9bbTWU77JI23yqPHuVgF/q9Xip37qp/it3/otpJR8/vOf5x/9o390aNT0P/tn/4wvfelLPP/883Q6HXZ3d+eA0M2Me7dOrl555RV+53d+h2984xs8+eSTAPyTf/JP+MEf/EH+wT/4B5w+fXpunf39fX7jN36DL33pS3zmM58BLAD+4Ac/yB/8wR/w9NNPZ8s2Gg3W1tZuaR/vWGB80M1/1MCWBzhPioEd3SyOMvZkI9vHPvYxVlZWDlw2Y/2OGRgfJKXQWvPKK6+wsbHBk08+ycLCQs7aB+xrOaD6Jz9O9//9h1OvR9da+SDY5AR85HgbGwOdi+sMVEi5WMyYSB0leItV25Huu+h+RLLXJXxrE2+5Zh0sJkp1hykLPG/5Fl5t4a00rNwh9UsNw5AwDKmZEqX7TxFttkBNA7N4ax9ZKeKUAsRe1zbjBQEKg24Uia9us5coKHj4izW8foirRyj+4FKdvmWtXQdvZQXT7+NWC8TX5tlirccserGYn7w2WaLoo1rz08yTZYYhahhy4NksfXvc61ULllN7NSsWntgWk71xhk57nxCHhUYDx5FEYUg0DBnuatxEQWJQykNpgdEeTtHKFrSSVlKhLGBNklSrasyEZ7FASnteWSwscJ2EkU3JwdOCM7pjJW3jpjAWTCNQiSCJHVwvDfzA4BSO0KcgJbLRQHg+qjMgafegHeKtHNz8JaTAlS6u59rmstEDl9bsCUPQG+J1rqTBG5JBb4CSUF1ZhJnGT2e5SbLfR+do3rNlUjnGHCge7Y/n4tQqhG+uIws+7lqNZHvf2jJKiRP4JP1Odn2ytnsGt1Ik2Wrb88KkHsJSIMsByXZnWn/tSpSEuN8jTBI76+C6eAsVe92YeR46GCzPg3shBUt/7o+zUzLI8N0FpCO53XsBGAshrrsfB7HJ165d48KFC3z5y1/G930+8pGPUK1Wb/kedTMsYr/f59lnn+XZZ5/lv/wv/8tjG/e9XLe7+a49E2cfBMEtNWx+7Wtfo9FoZKAY4Pu+7/uQUvL1r3+d/+Q/+U/m1vnmN79JHMd83/d9X/ba448/zn333cfXvva1KWD8kz/5k/zlv/yXeeihh/jP//P/nB/7sR+74XPzjgXGs6W15tVXX+XatWtTzgmTlRcJfRw1ushcDxjHccy3vvWtAxvZZmuSiT7Oi2nevkZRxLlz50iShLNnz1IsFm94zMInHyJ58RLDdyZ0P5a+ywfBh3gb07cs1HAwIE4SGg+cgv0BXrOC8D1UPyTe2LM3yWu7MGH3FG+1ceoljO9a66jRrkQJ8XY7N2I63tzHrZfQvqK/vUuSjBv7oqst3MUaut+fA9y6O7AAdq1JvN5ClgLcUkCys49XKoGxDYzJZpueUSTVgGKi8TQHhmZk+5sooqs7NvDEVTirK5BEljlO3QAG/T6+76cXquv/+N1GlWRjPtb3hkprdHeArJRINvMB1dTnMFiZh1bUSiXMdpcE2+BQAJygSKQjwMZGSyMwIkKoBCkEuoeNlE5BsHQ06BlLNSPhIG9iAXNxfdmKB+2zBcSQeiprx0pO0g/klPKBsSwUEPUaRtnZDpXjrRtv7uJUK6jOdRogBbjVMkHNps4VopgEQ6ITwn4fayQnrMTHcTCea6UajsRdXpxusMspb22ReLOdeQHPlrtYRQ8V8bp1UNHDiOjKNsKReGeaCMchurg1dQ4LIfBOLxJe3smsE0cP4e5qPQ3SmZqbwV+sEW/s4RaLMAoXwdDr96Eb4roOrmPDRbx62Vqw5YLl+XOx/n0fp/iBM+iLF991QDo6Du+2lOJm5Bx5bPK1a9f41//6X/Pf/Xf/Hd1ul89//vP8wA/8AD/wAz9wpJnGyboZFhHgZ37mZwD4/d///WMd926N6957p+0N/87f+Tv84i/+4k2Pt76+PkcIuq5Ls9lkfX39wHV835+bDVhdXZ1a55d+6Zf4zGc+Q6lU4nd/93f5q3/1r9Ltdvnpn/7pG9rHO7b5brLCMOQb3/gGu7u7nD17NhcUw3wk9HHW9cbudrt87WtfAziwkW22Rhfy497nWca40+nwta99Dd/3eeqpp24YFIPdV2MMy//p98wxosmeBcGzFW/uIcuFqddMnOBWbSNapGPiqs/CB+7DFRL/1ALhxh7h5S2SVhu0Ib62i7dYtbGyE6X2+5AovMWZTmljiK628M805zBRvNels7tPXPIzUJx9hp02OC5OY15HZxJFdG0X/8FTCFeS7EwwsgJcz6VQLFAtlW1TXAK9gsdeNKTX6xGFEfoQXa9TLZJs7xNd2SbaaKMSSVgssusIguVF/ML1meLxvh7ng+H1t2kTCXvMpu5NllNwUxcJO/PCBPuotEYrGxOdVQ6YtdbWkwBtcqGZ/TS5f7VWcIfpXsbqC2TBy16SjQbO6hqiukDcU0RXW8QbLUx8UCOdQZYKB7xny6lWcJaXUb2Y6Mo2Jk4yy7xioYCUEikdPM8jCkP2r67TISF0JbpQPBQUC8/FW10kurqbC4qNwIZ37PRyfZdFwccMY6KLW7jNKv6pZiYt8dYWiK600lk0SZIkRHFE4Z5l4qu76WTRKGTE4J9ZnHGVEDiuS+WeFarC/g5dxyVRCd1hn732PoNOFzVxHjvVAmpvHiwXH7+H+mc/Brw3JAyja+67vR/HQbR4nsef+3N/ji9/+cv82q/9Gvfffz9PPPEE/+Jf/AseeOABPvrRj/J3/s7fOfJ412MRb7ZOatx3s253892lS5fY39/P/hzEzP+Nv/E3cpvfJv+8+uqrJ3ps/vbf/tt893d/N5/4xCf4L/6L/4K//tf/On//7//9Gx7njmeM9/b2OHfuHM1mk4985COHPgmflJQCDtftjuKn77vvPh599NEj0/pSyltKqTts3NGYGxsbfOtb3+LBBx/k4YcfvunpsNGYwZlF6n/sI+z/Hy9OvT8CwXrCy9TECW6zmr0mPBe3WUGh6dd9gt0BlcRBre9mek9/bcHaSKnrM8R6GGNihbe2kLFeo4qutPBXG8Q7bUj0hCTBoRx4+GcaWRpXNl53aGOeVxeIN8bjiYKHt1AlfHMdEXh4p5dJtnatB+xMZVPIMRi3iFosEnV7DNvdnKYrgbe2ONdwF/YHRHv71IpFnERhfB+nWUW4EjPoo9v5zhUi8FAzMdS3VAcwjaMap+45FIvFAxUk0hWW+zTGPqobq/MVCKRj9axGpQywsWDbnqeT8xACjURmEdLj946i8bZNdnabeYu7bmIlTVLY8I3lZQwStdcl3uli/SWOXvHGDrJSnnMZcRYaIBzirV0w884h2mj6vT7SSY/p6PWCT+y7DIcR/SsbtrHK9dIY5/E10W3W0EP7IJdXshTglIq5TXCQ/v5aHZL0N5tJpByJ/+Aquh+DtI2zUWTlSJVTS8h2iJnS2xuc5brVPk88cIDAPzOWREgpkb6Ph09trcHg8jaJ0QyG1hnD9T28ooszjNII8dHnrLD0I9+bXc/eC8B4dH84Tlncze7HcbLWg8GAxcVF/tbf+lv8rb/1t9jd3eUrX/kKly9fPvIYN8MivpvjvptlblPz3QgYj2YKrlc///M/z1/6S3/p0GUeeugh1tbW2NzcnHo9SRJardaB2uC1tTWiKGJvb2+KNd7Y2DhUT/zUU0/xy7/8y4RheEPyjzsWGAshuHTpEq+++iqPPvoo999//3UvOCcJjPPGNsbw5ptv8uabb950/PRJ7LOUlsn5zne+w5tvvslHP/rRWxarT4LtxR94ku4Lb6L2xzf9WRAMIFIbtMLDp0haXZK9Lv3L2zacQDo4awvQjclCO0waCLJUI+kMMeGYkVP7fZsuN6NnNkoTr+/i5/gZxxt7uAsVwm6Pfqs3liRoQ3R1Nw0TmZ4qNrEiXt+zzhrXdvDWFkh2O1kErgljoss7iMDDP71AfABABnsOu+0hLg7uA/cRhUPi7d206co2DPobW7jGLmuA4WBAohSlchlnpEGPkimgLktFnHoZIUF3epi+Zf3cZpVk4/oeuUct3T84xW2cuucRBIXryapByAwgjcDTuD8uZS/S4JAU7qa4eAxjtRKIUfOcESglcVxzoFwiG2bCp3dq0bQDVGmJUi7R0MH1wSkaovV8YHn0MjjlArrbwxhwl5uYWM9blU2U1ppev2+jz1O7N1mvIIICemMXt59QAdxH7mdwbRsV2ZAXg8F1HNzTy6jtzsgQb668lQXUpCvFZEmJv5YvVzBAsNYkfGsTDIjAJQwk/XZItdzANdI2WaayFACnWkK3B7bBUpisadJdqhJeGTXCjvdz1MQ7akIcHQ+1UCC6tpexoK7r4hZ81v6vf8KGe0wcu3cbGI8kDH/UgHGv15typFhYWODP/Jk/A1gW8Vd+5VcOXf+VV145tn15P9R7NflueXn5wNn6yTp79ix7e3t885vf5IknngDg937v99Ba89RTT+Wu88QTT+B5Hl/96lf5/Oc/D8CFCxe4ePEiZ8+ePXBb58+fZ2Fh4YY10XcsMI7jmIsXL/LEE0/QbB4tych13RPRGMM8gE2ShBdffJF2u81TTz11pCeuo4x7HCWEYGNjA6XULe3bZE0CYxl4LP/pZ1j/F1+ZWkbt9wjuX8XEiQ3W2OsRb+wSb1iWKFwPCcMhxUIRpRVmq4P/wCmizX2MUhmjFG93cGpF8B0bDpKWHkSYOLG2T3MM8Y7VFq9P65H7Gy0GJqa8soA7mD7O4eUd/LUm8XYbZr4D3Q/x77GuFGY4P2VuwtjqLI8AkAGS7X0kUDm9Bq4kvLaFKhcIt3cZpDdUow0Ia4s0GzAyu2+TCXyyWsGtFsFzkY06ZjDAhPnBH0cu35uzahtVHCcMBoO0SePwEIxRCVdiIgtNjbFxzVPOFAY7xz/JEovRG+kiymBE1u2XMh6HXd1H7goitQN0SGIHbSQjECeFwnEMjtQI4eI6EbJw60lhAMluB/f0KmqvT7y+d+iyoweN0cObs9jACJk6mUwzy8nmLqVTS8Q7+6A0xneJHEl4aRullZVgTAawOAJ/NcflIS2nXgJELigWpQC3WCC8PFrXMNi36ZD1tSX8UoDwXGQ5IN7pgNLgSmvDGCUpSLTftywF6N6QtF+P0XfnLlbnQoEACvcuEV1p4ZVKVnajEpIkYftDTa68+QrNvY3MQeG90PT2XgDncPLAeLJOkkU8Sp3UuO9qGQG3gTE+qW188IMf5Nlnn+UnfuIn+PVf/3XiOOa5557jR37kRzLN95UrV/jsZz/Lv/yX/5JPf/rT1Ot1fvzHf5yf+7mfo9lsUqvV+Kmf+inOnj2bNd791m/9FhsbGzz99NMUCgW+8pWv8Hf/7t/lF37hF254H+9YYOx5Ht/93d99Q+vcLsa43+/z/PPP4/s+Z8+enbP6upE67pCPwWDA5qa1XXrmmWeOJQ4U5vez8rEHKX/sQWudJASqO7ShFpe28NfS6Nm0jDHsv3GZYdWj6pZxHQc11GA00XorZZpD2wmflmoPkAUPb7Fqb7ijsRJNdABDHF1t4S3XSfZ7mCjOrMMqxSJuDG5ONHW0vofbrGCGEXoQ4lSLOOWCBdi7XRACf61J0hugO/NA8UYBcrxjGcPiA/eAUphCgeHWLsPhINPA9ns9XM/FdT3LQF3nu9GdPokxmPVBRgMIP0CWisiCh3AsgDRRjBkMMeH1m/Occgm9Nw+uoyhOk9eKeDdgaSY8FxNFEzTFjA+xAa0FU7hiZHsx8W+tJY6jU3eEfKs86zwhLROcOEgJUiqkYyOgnUyOMV7fGNKUPHPdxLvDyqlWoFRChzHJTgcxVKgDpC+jSlRCv28fNMr3nEJFCdEhzDLYBj9vqY5xHVSrh9+L8ctljDG2GTRJ6Pf7qIKL7xSJ317PbQb1Ty8SbexaQDtT3mqDZLdvHxwBMAwGQ5RKaDx8Bt3qEffGD2jCc3BXFpBFn+jSzMyF4yALPrrVRQiZPhhZmZLuh1O+xEKA06xOPUzYJEGPhWc+zGOffyZzULhy5QqvvPIKnudRKpXY39+nVqu9K6ztcTdR32wdN0Dv9XoH9sycJIt4lDqpcd/NMtwmV4oj9q3cTP2rf/WveO655/jsZz+bWej943/8j7P34zjmwoUL1oY0rV/91V/Nlg3DkM997nP82q/9Wva+53l88Ytf5Gd/9mcxxvDII4/wD//hP+QnfuInbnj/7lhgDKMp1qPz/bcDGG9vb/PCCy8cKRjjRsY9jtrd3eXcuXMEQUCtVjs2UAz5AH71R/4E6//3r9C/MKE10zptfrOOFLY5y3bY16MCwemmZbqwgCCKIvR2G69ewgk8VHv8QzlcQ7xjWegrramfd7y1j6wV6YZ9TOo8IaXEJIp4cy8XUCetLu5ilWCtTvj2FmoSABtj9ZpC4J9aJGn3puQi2WKzAHl7byr4ZLK85TrRpc2UBVP0YkWwvES1WiZp7ZMMhyRJkgWLTPncHnDDd2olkom0OxMlqKiTb8nmBTilAqLgIV0Hg4Y4Rg+HmIFl9GTgTRk9GGObYKPYhky47o0xUk7RJelPShlSbbEe93KasfdbJoEQNrslXQObjiclBgeVSLSRmJG7hDRIaZDC2rw5jkYKkxHQh95sDLiuQht5NKu2UUkHZ6EOjova7xPtDmB3fP7Em7s2uOUAd484iekPh5TuWcNLBOERJRzeygI6MZhebCVL6azGZACLt7bAcH2PuDskTCzL7ziO1bmXCgRL+bZoOBJvdWHGGs0GzCgM9YfOoDbngbssBphBRHhtF6TAW64hPJek3cetlWYYaQESvGqReLudacqNAQIPPYjQiZqQ6AiCexZp/l+ennNQiKKIF198MYu3F0JkTHKz2cwsIE+63gvhHnAyjPGtegLfDIsIVkO8vr7OG2+8AcCLL75ItVrlvvvuo9lsHmncO620mZr0PNHtnFQ1m81D7fIeeOCBOWxXKBT44he/yBe/+MXcdUa2fcdR7ztgrLU+kSktKSXb29u89tprfOhDH+LMmTPHMu5xAePLly/zyiuv8IEPfIA4jqeexI6j8oCxDDxO/eVn2fzNf0vnP1yYei+6so1cqdP5zmUcx6FYLCGEIFrfxV2oEEiJ6Nhpr+EwRPb79ma9UIH9AZnS9BANcXSlhb9SJ9ntYGK7b1prule3EAWP2r2r6N0Jts6MJRfhVQuonVoRp1Ig3thFtdp4y3V0oqxl1GSlbhdIaTv69zpTcoZssRFA9l3bpDcDkJ1qCdXuW2YvThgMBxSCAL8XE/X2EEIQrKxQDFx0r0+8206DRUIGQwtsRk1X2TnuSFTrBsIN4gS134U8u2PHw6kU0V4BsbSSaZ87+/uEQtI8fRrPdcYOD0bbK6zRlvXTykZjK41JEmvDBjglj3jbegRrLVDaSQGsA0KShHY5v6gJhzYpbfTbl461c5MOdjsCCwqNiydj8Kxd4Og/WSDMdWqSvM70z07humYcolDAqVfRsSHZaaM2DveN1r2hDTmZaWaMjKLtOdS8BnJ3cLCvdLZhgbfaRPUjovXxNoXnTj88eg7+YoPoWgsHcFK9stbaukgUXQb9Hs4b7akGPiEETrUIzrTvsTEWFCdlj3qpkguK/dML09Zw2lg9tSvxVxro3hD/TBMdxsTbHZswmfkSj7TJ1ifbq5eJN/czOzgAWfRo/Nk/hpYgZq7vvu9TKBQol8vcd999tNttdnZ2eOedd3j55Zep1WoZUK5UKifGJr8fpRQ3UjfDIv76r/86/81/899k//7e7/1ewIY/jCQc1xv3Tqv3qsb4j1Ld0cD4RmvUtHHcU1pKKdrtNlEUZXqY46pblVJorblw4QJXr17lk5/8JIuLi7z11lsn4nSRB+CFI1n9kT+Ot1Ch9b9/M3s9jhMGb1wiWG0SxAYSlekK41YHp1KgtLxAst8fT/+GEe2rW+hakUI3xvVcHMeypAcyxJv7uI0yOoqJOwPbEOa6FFwf0xnk65GvtgjuW0JoQ3R1B90ZX4hHjUne6gK6P5xmj8Ey4ld2bJf+6SXi1n6+BjlKbJNeCpDV9t54iDAmiiLCMKRYKNqwh9F6xlhXjrScSo2gXsIoRby9SxKG9mEiHCKFxPVcgtPL6Fb7eCbGlEbt9xCuQ7LbBmPop57T9VIJvbnP0bMlJeAgHImsBSRxB0cIjHZAC4RjzwshNa6TXqW1wXNHGuLxSGJ0nxegIsskT1q2ZaoLk/5LTDTlpbJlY66DeQW4xfnrhgHcRh0RBKheSLLXJele3995VKo3sOfKVZuGJ4oBA89hcHWHml+wDYSH7Zbr4i4v2DS8q/OMsomT7OFRDWKIkqxZdGocKak8eIroagvjF1GOys4lPdDI5TreXncqnc4Ya8enFytUQzC96W9feBJvKb9pz21YaUf2XppK6RQ8/NNNdD9C+C5mIk0zSB+AJ7XJCMHij3yvdbSZuAZZSzuZXUNHf280GjQaDR5++GGGwyE7OzsZUHZdNwPJCwsLR04yPUq9V6QUJwGMl5bm7ThvtG6GRfzFX/zF63rqXm/cO67ucI3xnVDvK2A8GZhxXNNng8GAc+fOobXm9OnTxwqK4dYY4ziOOX/+PMPhkKeffjp7qj9KGMmN1sjH+KBqfu4J3IUKm//rvyUcDAnDIYVCEX+Q4DYq6DBG9cfxzroXYgIXd7lGstXOpn+LGJJIkazUGF5rofU4Mtdc3sZfXZhiiAGSvR6JK+gSU/Jt9C6IOT2ywdpRmTghuriNcCXeqSbJdntO9hBvjOQTTZJ2f14+oSxAFp5jQc/WXq62OAPIRR9/dQHV6TEYDlFxcqSYVdUboHoWnAvHpXC6ifQkyX6HuN0hSRL2t7dxemFmBXe9YJHrlZES1e5iUhmMkIJyqXQ0GnZ+NIxSSDmx+gQTiLFNdaPSKn8bRqfGFunXrrVEivE5YJ+57MmVQqocDV3++Tv5qudrKwlIDLJRAyNIdrtE2zdu2TZZ0XoLd7kJUtJ5Z504jKiUSkjnYCAlCz5Os0681T6wcW5UTqOCSYwNOsmRuchigFMpZONYzW7qAOFKRKPC8PI2cZIwzBwgHGJhEAtlKoP5dE6nUbYPijkg3D/dJN7Ym9IOAwjfxW2UGb6ZhgQJcJdqOIGHEWIuEAgEC9//CeoffTDzR1ZKZSlzo2br0fVulrUtFAqcOXOGM2fOoLVmb2+PnZ0dvvOd7zAYDGg0GhlQLpVKt/S7ea8wxsct6TgOKcXdOnppBPoE9b+T23m/1h0NjG/0IjVKqDsuZ4pWq8X58+dZXV09MGb5VutmgXG32+X555+nXC5z9uzZKebjJPb1KGC78uSjXNzZIPzX36RcKuO6jrVg2+1a/9R6ObV4S2USYYLa6eCfWpjwXRW4jovbifE/cD+Dy1skcUIc26Yvp9/Ha1bxAgcR2u85DCOiTkilWqF4asE2BE5UvLVP8NAqaq83pVU2ibZhBYGLd2bJ+hpPHjdjiK61EI7EP7NIst2eahAEa+8WXRlpi5eINnfn/X89B6dcZPj2OoP+AOVKGg/diwPErf3cxqe8MkoRb473319oUlqoYKKQqNMj2u8QRpHVkk7okp0bvFm79Qpxa49+ah1WKFxfXnC9ElIiHGH9ikXKiEzOlY8+oz7IaZgpBKuUxHOTCYA9BsXTG579ixn/N11ZJbZJz+AQLC8hFhvEb6/D4NYs2wzgNuvIwEd1B6hI0VtfJ4kTSuXSgSBKlos4tQrxxh7q8uGA2F2uIxDEm/soUtmQEPZh8NouaG3j0Nv9XJs2Z6GCSTRqq4MfBPhBYGct4pieb5DDBLnTYTilc5f4Z5rE6znA13PwFmv5DHKzioliokmHDgPxdht5ZpHoyjZOuYBTL9uegO02pUdP0/i+T6QfS0xFHY9kczs7O+zv73P69Ons2j/JJmfHVUqazSbNZpNHH32Ufr9Pq9Vie3ubN998E9/3WVpaYnFxkUajccPg8riZ2put4ySGwDabV6vV6y94t46l7kopTr7uaGB8M3Uc6XfGGC5dusSFCxd47LHHuO+++3jjjTeOXbcLNyel2Nra4oUXXuDee+/lAx/4wNwDxHE7XRxlzCiKOH/+PHHN4SO/8Gdo/c+/T7LfYwREdH+I8D285fqUl6vRtrntIJeJwlozY4iN0RYk7/YYOAbhOci+DWYolUo4SOKt/SwS2l0oIwsB8eYe4ZsbCM8hONMk2tybYpxNaFldWQpwG2Wi9Z1J+1zMJDt8Zol4cxcTz3hahzHRlR1kwcddaWSd/sJ3cKploq1d+v0BQggqXoDa2Ecx7uQXElSrjT6gYS+vkv0eMvCIt/YA8N0CTn0BE7hEKiYcDun2B3iRwkeOtaTXG9eBXn/C9/kYSkhhLdvUCLwa8uI2bMPdPGC2a4z+d+Q/7FgbMKFyQfHYv9jKoJWW6NSxwmDpZynTP0KD0CTdPYabBjnhGndDnzPwcBs1jLHhGJmjg7GzT1G9QC0M7GecKadeQRYKRBu7qM7BgNgI8FcXMKEiydH7YgzRlR3cZhWnXiZ8Kz/owDu9SHxt19oETpQ2hkHFodCOKAQltJdqk6OIfhwh6yX8N6+ldnDW+g5s6IaJkjnpksEQnF6ylmwz25IFD6dayn77qjtEpSE+pY/cz/Kf/WO5xwrsNanVavHSSy/x2GOPsbKykoHlSTZ5BKYnQTVAqVSiVCpxzz33oJRid3eXnZ0dLly4QBRFLCwsZGzyUdJC3yuMsVLKPsweU/V6PUql0rGNd7fu1rtd7ztgfKvNbFprXn75ZTY3N3nyySdZWFjIxn23GWNjDG+//TZvvPEGH/7whw/suj0pKcVBn7/X6/HNb36TSqXCJz/5SVzXpfTX/mOu/NP/D9H6btZYY6KEeI4htpU1xV1rTYHSSQ2x7kd4vo/n+zZ1LRqSVHycTpixm47v4yqNf98SyVaHZHcyhEQRXmkhiz7ecmXO81j3Q6J+iFMr4ZQDyxbPhH9EV7YtO3ymYdefYcz0MCK60rIMebMCccxwvUW/P8B1HQqF4hTesoEi6bGQAm9xAeE7qP0uun+4rZrbrGWg2A4GqjuArv3hu4ARBZRIiB1BT2iMMBQKPoHj4iUKhtOWbHGc0GntUg0KeP4xdvMLgfQckmE85RKRB3mMSFPyrmNTrBS2GdKdnhRUSmCEQxzaJj7rbKGQ0uAIDY5OrdomRcxYRhtDb30bVQ4IInVdNxCwIRxOqYgeRMS7HdSstMBY1s1gqEVY7+wJ5t9daoCQqZXgIQ/fjrRynPaQ+NrewftTLuA2ysQbeyStDt5qAz2IMscXEXi49cqM60S6q4FLN+wTtHUKrkSW5lg5vUQyCIn2usRKEUUhIHBdh+CeZZLWfGyzLLg4tUqu+4W3XEd1B3NMtnAkCz/wJPU//pFDj/vm5iYvvvgiH/7whzPP2hFjq7VGKWVt/dK/Z/uUwyY7jsPS0hJLS0uprrrPzs4Om5ubvP7665RKpQwk1+v1XAD8XgLGx8lcd7vdu4zxbazJuOaT3s77te4C4xuo4XDI+fPn0VrzzDPPTD11n5QV3FFBrFKKl156iZ2dHT71qU9NxSbO1kmA+IM+/87ODufPn+eee+7J2GtjDKJaZO2v/CBb/4//L8M3ro1XuA5DPOsyAVZDPGJzk71eGu88sI02wsd/bI1wr0PsCqKtfYavX7TuDQWf4pkl9E53iuHVg4ho0MKpFpGVggXAE9BKtQeo9gC3WUM4kmR7+sadscPpPs2CeQDhOuj9AWG7S0dqyqcWCUI11Wg0V9pMgQR3oYZTClD9gXWRmKmDmLSpZYTA9TxcoIhBhYqk12eQJHS1xin4+PUKQaVMFId09/dpNOp4kXWVMEkyLS+5yRJSIv3Jm7VIrdfGr5i0cU4rgXPARxs5WkSRY32MpQt6yChmWkoNqV2b646O9bzfccYmj85XAdJzKZaKYAxmqU50ZZMwDBkMBjZZbuQG4nu4zbo9N/Z6JLu9qQew6e2kOm0hKBfLtnlwv4ssF6xXdKSI81jfySPlOXjLCyStbi6YHZVTL+OUAqL1XaIJTXy8sWflFacX0Uqj2gOiGT9vALFYpn1lk4JwCAoBTHD7wZklK48wJns4BYOSgrjg0H9nA601rutkDxP+ygK6H6YhJRPHBOzMzdXWHJB2mxVWfvQ/onD/dMzvbK2vr/PSSy/x0Y9+dC4SGJgCviMGeaRNHv0ZLTcr0RBCUC6XM5eLUWDEzs4OL730Ekopms1mBpRHsyrvFSnFcWqMjTHH5kpxt45Wd4HxydcdDYxvphHiZgHs3t4e586dY3FxkQ9/+MNzF5aTAsZHGTcMQ55//nnAGppfb5rspKQUcTw9zX/x4kUuXLgwZV83eQNyywVO/eXPsfW//lu6z39nat3rMsRhgh6MO+B1P8TECaZepHd5A8/zCYoFvNUFTKzwa2XcfoQfFNFekLlc7L52yTK8y3Wc/QGuGE/9qs4A1RngLVQRrjPHXCUtC0a95QZGJXMWbiOG2a2WkBMMs7fcINnvEnb7DIdDKsUiXjvCSIG3vIBwJfFuO9fNYmr7u12SdJtOtYxTK2HCiKS1j7dUJ9k53CZsvgSO6+K4LgFj+654Z5/BhgVcQamA2mgjHGfcLSddhOsgPBfhSoRjnSaQAjHqqpv8EnUqktN6bN3muziNCvF6jBGCcOCAFPhBMrZK06BxCYeCUmHEZFuQa/9gQauxSXUOEEYu0jcIOfsbGtPN+Vq6Ca1xurwYAXchkO0+QblMkJ7Lie8QOoJOP8TbD/E6g0yaclAZbej1e6ldYdH6Ay/UwPOsPGenDfHBv3374FUl3tw/tPnOXawiHId4c28qpn16mRo6ViR7PfyVOlEcjx8+pYDFMu03r1Lwrc4424eCh1Mr5W7fXaoj+yFOP4RKJTufkiSmWxT4b1+d8OC27L0s+chSIRfgj6QTTvFw+c7Vq1d59dVX+djHPnYkt4QR4J1lk0eAeXStPEhy4bouKysrrKysYIyh2+2yvb3N1atXuXDhAuVymcXFRQaDwW3zTD6sjtsd467G+PbWXY3xydcdDYxvpm4mFnrkAfzoo49y//335wLykwTGUXRwfO/+/j7nzp1jYWGBj3zkI0diAk5iXyfBttaaV199lWvXrmVyk8mO8dHyQghwHVb+3J/AXaiw99UXpsY8jCF2ymOGOFu+N2DQ2qX4wBqVQpG41ZkO/hAC/3STZLeLHET4vj+2gtvYZ+iCKbgE3QQvBYhCiAx8Wg/jBDXD/o0As7/WRPcHcxZuqtNHdWxToNMoE17aZtjtEcdxGoaR/gy1GbNnQuAtNRC+e6An8vQ2xtsVhQBRLOCd8jCJQvcG15Vd5JWUEt/zUEmClALfD1DVAoOtPWzghZsm8LkW5N6A/nm2vCAApRAoMALP09Y3V+rU61iANGg0whc4rs65Q4wUySL7r5QapSSuO/MgONd0d0BNDO8UxpdLISXeqUVMnJC0+9Dp42Io45N4tsF3MBhgMBPgbyy50ErT7/dxKiVqp1cwiSZpdYgm2GFvuU7caoOavkM51RKyUiTZ2DsQEBtjrMNKokgmkiFnP5q/toAOkyldf3h5Bxl4eGcWUL0BcZzQe/MqQVCYSvHMpA4zzayW8V208oiJXZdSUqhXcCpFipt7qEBkxwkMcrGKPxjidIdTwE04kub/6dPU/9iHcz/HZF2+fJnXXnuNj3/84zSbzesun1eHscl5kovR38GC52q1SrVazcJFRmzy1taWvZ4kSRYuciupqDdbJ2HXdldjfPvqLjA++XrfAeMbAYWTAG/kAXwc495IHTbutWvX+Pa3v83DDz/Mgw8+eGQG/SSb70YWcWEYcvbsWUqlUsa6TDIvs/va/IEncRsVtv9f/7+pX+RBDLHqhQgvSZv19hhGIYNA0lhZRez0UYsOTilADyYeKlLPVOE6+GcWrY4z1lNWcCpUJLUiPRUj9jrp1K+dIh8D4AWS7gDdnQab0fpuNiWtdrtT+yt8D+F7DN9cZxBHxBWPRn0Js9fPd50wE7IJIXCbNWTBJ9nv5ibrTZbXrBJd3Jx6TXiW2ZOBZ+3QohjV6R8KZkfT/ADlctm6DSw0iAcKpazH7UhKMBUscojF2IElBMKRCCnm0u5ydca5jXnjRI7ROq6boDUYIxET9m2MF53XKWevGRLlYlJNcvW+FRxfoLp9kkEMe92paPPRuq7nZt7TWmnixPpSDwdDpCORjSoDqSkt1Akic6D8Id7ax1tbINrYRRhwF6oI37NuFO35+HGw+utgbQHVD+fizbOSAm91AdUdEh2gRRa+Y38v/SFtFVIpl/Gkk24DCqcXCXNAuSz5OOViLmCf1AxnEh7PIxDgLNcYXN4iipMUuNlm0GCpwakf+34K9x0unQA7Q/Wd73yHT37yk4dKyW6krscmX6+Bz/d91tbWMo2zlJIgCLh06RKvvPIK1WqVxcVFlpaWTjRcZLJOQkpxlzG+fXVXSnHydUcD45OUUmQuCnGcAbzjGPdGKw/EGmN4/fXXuXjxIh/72MdyNXQ3OuatlpSSKIr4gz/4A0qlEk8//bT1Fk7Zliyl7JApvNrZx3EbZTb+59+b0tpmDHG9nDpZ2DKxQg1DejUPvT2krhzEngUMI5bMX2ug+uEUkDCJSh0iPLzlxkSTXSoliCHAQ9zfIOwPiFsdawXnSFzXQ13ZxvFcyz63OuhJyYOxQEe4qX/x9h5OtYgexkTrrQxo1mIfs9O1qWQrDZvgt9M+ECRPsn5us4Ys+iSdHnqGnZalYE7zbI9VQrKTE9NbKuBUigjPBa2sn3Snh44T+v0+UkpKxWKGVHVnAAIc18FxHQKC8RR5nAaLSDlmSSclF4dVuoxwJaQpd9bPWEyRuiPsqxIxZcd7kEmEFIY4dhEywZtgjc0I/Ro7aKIdtHGtz68UCKNtZLTUdtekxnTaTD5GJHtd/JUFa8F3QElHUixWcJo1lNL0ru0QbbVxBERCYCaT5XI+QbzTpvjgKVR7vgltqjwHf6VBstfL9Q3OllluEO/mB4EAOAtlnMAj2thj2OowHA6oFor41QLuYg3VHSJcmQuKvZU6qjO/nxZI2/CdueNTLiALHslmm8APCPzAusskivi+Bu98dImLb77MUnszs0rLkyO89dZbvP3223zyk588di/5qf2dYZMn/1yvgW/kjnP//ffz0EMPEYZhFi5y8aLte5iMqj7OcJHJOk7GOIoikiS5C4xvY91ljE++7mhgfDPlOM51pRTtdpvnn3+eRqORuSgcZdzbwRgnScK3vvUtut0uTz/99E0Zq4/GtE1Fx/NUOBgM2N3d5f777+exxx7LmpZG7EomnbhOlT54L6f/yp9i/Tf+98yWCVKG2Fd4yzXinY71Xo1jOhfXAUFtdRGvUpxPsVvfA0EmoZhkkPUwJrp6cJOd2e3hA5VH7iFu94n2OsRxknXbe/0+XiGgmAV4TACvRDG8ukNwzxJog0kUvW4XmepJR8fCxOMUMuG5eMv1NN3uAJCMtfkaldOo4pQDVLePavdxa0UbPnLE0v1wTqahtKarY4KlBrWFBiiN7g8xRqO6864IUkp835+WpoymyGckFwedA1m2hyshGomKDUYLcEbmbWQBHkYDrrVty0DxyPd48oJuQCkHzyTWvs0YtJEY6WNihcHqkaUARybgpKNN/I890PkPdPqA37xTryBLRXQYk+x0UFd3LXM8GFAsFnFTiYqNPB+ijbb+3J6L36ji16uZS8vwO+v4pxdzwb8MPNzFGvHOwSEfsuDjNmtE2/u54BTAW6qBHPkdkyYvDikWU6mPI+2xThKcagVZcNFDex01AoLT882yALIcIAt+7nb9VQvkk53pGRDpeZz6/PdQe+aDaK3Z399ne3ubt956i29/+9vU63WWlpZYXl6mVCrx1ltvcenSJZ588snbCtDyJBeH2cHNAtIgCDh9+jSnT5/OPufOzg5vvfUWL730EvV6PWOTbzVcZLKOU2Pc61mi4m7z3e2ruwEfJ1/vO2B8PR/jkTzhoYce4qGHHjryxeh2uFL0+32ef/55giDg6aefvml92mSc63FcbC9dusQ777xDqVTi8ccfz8a+UVA8quDeJU7/9H/M+v/tf5/SL8rAQwQewT1LDC5v0tvv4rouxWIB0x0SdYe20QiIJ3WVhjkJxSSIzZrsmlWElGNv2bSia7sgBeUHTpHstNHDiCSxUoJBt0f/QhenVCBYriNafSQCt14CKYkubaNUQr8/wKuVqZ1exgwj4p323DEx8djj9aggWe11Uel0vn//MiQK7/QSOkztt3LS9g6rJEnoDwYUggC/r4j6Y7DjnVlEaWEb7VzHNtqNmutkqkDQBs8YjNagFPEgJBoOCPvDwyUX6bGQngTr4AwYi3PTSDuDtVpTiURriRYGodV0ip2BMPam2A6lJDL2cLXC8xIcoTEiAu9wQ40x4LbOD7nHa6eNt1gn2e/hNqvgOKkTRR92xw8RURwxHIaUimNNeZbYKAWyXiZUCdFel+HVbeR6KztOjusQXd0hWGsSbthmVFku4NbLRBu7uVZnALJSxKmWiDf2chleAwRrCzYufeKcD8OQKAoplUoEzRqyFBCt7xGlcc9RL0x/S03UMEIg8qUTqw3UXm9e4yyFtWTMAcveUo2VP/8ZgjNWtialZGFhgYWFBR599FGGwyHb29tsbW3x5ptvZg/gH/jAB95VnWue5GLyz0h2NPp7XrjI6HM+8sgjDAaDjE1+66238H1/Kqr6Vhjf42SMu90uQoi7GuPbWHcZ45OvOxoY36yUIgznG5mMMbz22mtcunTppuQJJ8HCjsYdpTedP3+eU6dO8fjjj9/SE/9kNPatjGOM4dVXX+Xq1as89NBD7OzsZE12oxvCjYLiUXnNKqef+z+z8S++iuoNQWnirX1UZ0CSxPSSiOI9S3jtcIohHN2EZ71ZYUJCUfTxVipp8td45cxlYqWOiZKpxj60yUI8gjNLsLGLm7hAgFL2Zje8tEXsCWSzSrDfwdOglGY4HNjGJeNkYMApl6x2ejDMmvumju0sSF5pYLQ+ECTLaoF4fXfO7k1WSjiVAtJxrHNGd4jqDXK5gChNDywWCvnd87G6rr45r3xc/KCCDgwJhlArOkmClC5BoUBQLGB8H3d1CdF3Cbf3UYlAitSrWCokKtUUC6QDUiowBtfROTTqNGscRR6uM4oEdnCkOtT/OKsJZOxONN7JYoAsFRGpj7NwJKbVI1rPlzqEUUgURrbRMv3tWUeJStZ0Z1p2dsIXHqbqZqx7f2DPX9d1iS5vUH7wtH3guDZtuTZZTqOCLPhE67uoTs4yUuCvLaC6g5kZFpOC4pjaPau4hcDqlPdzZgmKHhjQ7QHeUh2nVhzLlQ4Bvk61gHDd3Pcqn3iIpf/0e6wO/oAqFArcc889nDlzhldffZWNjQ0WFxd55513eO2112g2m5nf8FFCN06qJoGvUoqXX34ZpVTmg3w9bXKxWOSee+7JwkVGUdWvvfYaURTNRVUftUZs9nEB45FV23vBn/l9UwY7TXM7tvM+rTsaGN9M5Ukp4jjmhRdeYDAY3JI8AY4/h95xHIbDIc8//zyPP/4499577y2POTn9d7OVJAnnz59nMBhw9uxZOp0Om5ubuR6gN1tOKeDUF56l8/UL7P7u84BJp3hDSoUi3n6IUyviFIM539WxN2uOhGJgQzacahFZDojXZ9bd3Lfyi1NNknYP3Rs/SNkQEAuu3ZUK4bVWFnBQXllACxhu7pFoRa8oQUJBe2ns8ngyXPWGFvADTrWIWytbP+K9eTutObnFLEiWAum7JN35hizdHaBnXhf+RCOeMehhRG+rRTQcpoxmzvnru3NM+o2WROAj8KWkJFySUJH0unSTXfYWihS6ETISeG6MI8YMsGDsN5G9CGAkRpj5iOhZ71svYXTslRLI1N/5QEYka7xzABelJKUzSzhVJ32wiFG96aZFb7WR2+w2DIfEcUyxXKKwtIAs+KheiNrrEvXyZQ1CiKwhVAQeuhIQDoeEO22GL30H2SjjIfD0tGbfXarZIJDNfWD+PBKexFtZINnt5kQyG4bDkLAoaayuYvb6xPvz55PTKOMUp0H36Nz0VhuWuY/jfDb41ALJdhsTT4N14Tks/umz1J56LPd4zJYxhldeeYVWq8VTTz1FsVjMmsC2t7fZ2NjgwoULlEqlDCQ3Go13BbyN9rXdbvPkk09SKBRuKlxkBIJHUdU7Oztsb2/zxhtvUCwWs/ev9zlH1+bjBsa3o2nwbtkyZi4g8sS2836t9x0wnpVSdDodzp07R7lc5umnn75pn8lJFva4Ljpaay5evEgURXz605++afuh2coso24SGI8kHYVCITtm3W4XpaxbwSz7cUv76khqz3yQ0ice4rX/51eIv/EmpVJ5fLxHYRu5Eop5F4o8CYXbrIIUJJPAz9gbvnCkXXdrf4qNHYWAuLUislxASJHF5/q+hx4ovHZE4PsoKekEBkxCMFC40pnS26rOMAMZTq2EWy1a4JzjOZsHkmXRJ9raO7ABbW6MKMk+q8EG1yRJQmV1maBWBikwSYLuDNEDu19es0a8fnB4xI2WBX8unudiKCAWqoT9LWIZp4BBMMonMRpw7M7OBXEgrcXbeOS5bUlpSGIvC/RIlMR1UpmGMSjlorWVhEhhAIPjGKQwCEcBChn2SKKDj64eWB9qocf+x8MkIix5NJurmP3BgbZpU5/HGLxmFVkqoAchSauDCGMKQKFQQvuaZJgQu9BXCq+f4KwsEAg3tVzL+fyFVIe8ne93bDAMiw6xFlSVa51SZspdqtlzfHM/9+HNrZft++t7eItVvJX6WAblSPzVRg4Yt7Mzq3/+M/injnZtGyWP7u/vZ0AT7PlUqVSoVCo88MADxHFMq9Vie3ubF198Ea11ptddWlq6LTZpWmteeuklOp0OTz75ZBb0cdzhIqOo6ldeeYUkSaaiqmc97SftMo+j7lq13f66K6U4+bqjgfGtulJsbGzwrW99iwceeIBHHnnklp56J6fNjqNGrhjD4RDP844NFIM9bjeriW61Wpw7d47Tp0/z2GOPIaXEGEMQBERRxL/7d/+O5eVllpeXaTabx/KQEMcx33r520SPLfLRHzjL4P94hc5/eG3ql5u5UKymLhSdHBeKNOp5NjRk1MzmrdYxw5hkYurYKG3XDTy8M4tzMc/SczH9EBUneKesTVbnyiZam6kpxqKyN7/YdRgUJEkcURgkuE6qtx2dPynQB5tU5laL1ge5PQ9WTJxYAPbmerovHk7dMsHGGAus2r0MrM2tj2HQH6CNplwuIXphpiPNPl8xsK4VxQD/9DImRadGpeEcicJECh3FaQbzjZcAfNeDICAIAtrOPkliAaoxFhjbwzPvsTbrWnHAByWKJVp7qTZZIgQEXoQjExsGInUmm7A0tbVEiiOJ513/WqPafYIzi6heiCwG7G1uY7oJNeGhr5tc5+IuVkEI1Ci0JUdeA/Y643kexYUqohwQRjHRO5t0E8uKT3omO9USbs1qjHMb8xyJt9pg/8oGeqtHtVxCiAkXBQz+auqFfMBsgbdYBddJJRcWMI9mFtxGGadaJOkOckFx5YlHWPqhZw6VTkyW1ppvf/vbdLvdKaCZu1+ex+rqKqurqxhjaLfbbG9vc+nSJV5++WVqtVoGkqvV6rEznpP7+sQTTxy4r8cRLjK63k6y5uvr67z22mtZuMji4iK1Wu3YiYtut3uXMb7NZSZ7Kk54O+/XuqOB8c3USErx+uuv8/bbb/PRj34085i8lboVsDlbnU6H559/nlqtxmOPPcZ/+A//4ZbHnK2bsWwbBZ089thj3HfffQCZXq5UKvG93/u97O/vs7W1xauvvkoURVn3+M2yNP1+n/Pnz1MsFvnUpz6F67pUfvh7qP+xD9P6N9+g//KlqeWjSQnFjJVaxvJWizYad05+sT92sNjrovsT8os05tkpF2zS184+/lJ96oY/7G7beN9ywMLpFatxztg1geO4OEAhttHFScElKjr0BiFeN8bzXFzXw3Fs+p7a76P+/+y9eXxbZ50u/pxFu2V5d5zEju3E2ePdSVOgUFqYtFkLF+hA6bRwC3OhhSkdfrR3FmCYmVLgzrDMDB2YyzZDL0uSNl0onZamLaWdTmPLjp3Yjh3bsePYluRNu872/v44ek8kWbItW7LlRA+fArXlc14dHb3neb/v832eMEnnbSrJkN0+jfTzRblRDhRElOYQGIZlweeZwZr0AKO+D8ntgyJIV6OIzYkfbEpAAFEIyJQnYQOgdi6OC/s189HNeSxzlctGkWoFiiiChMJSB44Dy3NQOD0EUQHHAURWya9EJLAg8Af0V/V1jGobYTaJYKCOjbAMJIHV0vBYVk3EYxgWOp1K+gkYKISBLBMwDAsu0t+YurgRBoLIgmUBVh9NIggDcBYTWLMRLM8BCoEiiJBmAiCyDPdl1UPaMo+TAGczg8u56lohxripzIGOg65QlUpIM141YnraBxaAbctGBEddUKjWXcdAZCQYHJPgJ2dVksxdTXRk9Gpjpzjpxmz/CAgh6sKIkmKWgb40T41rTuCFrCuxhS0G41fBKWEOjbjAWYxqxPvENCApYHQcij7wDlhbauZ/zxFQFAVnz55FMBhEc3NzUnMJwzCw2Wyw2WzYvHkzQqEQXC4XXC4XhoaGwHGcRpILCwuXbZNGSbHP50t6rMsNF4lXNZ+cnERnZycIIcjNzQXDMBAEISVVc5/PtyTpYRZZZDLWPDGmXcnJwOdTU8duuOGGlNr7pIIYx1axA4FAWpr6It0uFgJtTLx8+XJU0EmkNRGdqAsKClBQUICtW7fC6/XC6XRqVRqbzYbi4mKUlJQsavttenoaHR0dKCsrw9atW6Pev35dPtZ94v0IXBzD1LP/jdCIK3LAqoRCp0ooYqu8moRiXgeLsITCMQMSEcsr+4KqJthqBhhGazqSZRl+vx86noeR4SGOqUSHyzWphNYTjKr6siyrNlsFAQI95FwDBCMLvy8A3hNSHQl0PDgunL4369cq2Xx+DlirGUQQ1FKqMs/nqCjhCmTkj1Q7Nr4wF7aCPECSIbv9UILxExZ1RbnzRg5rl05WQAIhIDB/Sl/cYUoAEQlkUQLLEvCsosodGNWOjeUIOIbAZBA1DTCtaHA8ARv2cSMMC8Sm3IHRmu8AhKUi6s8liYHCMuA5JUKrzEAQWMgyA4XwMORYoF9fCMgK5ICg6rY9QSgxjW2EEHh0BDzDRFnyqedkoSvKBcNzkGZ9UYueROCsZnBWM5SQCHHKkzCMIzQ6CV1JHsAQGIkqdyCKAokHRCnCXjDHBEORDZgNInTZpXlqm+nCKCx5kGf9amNqDDQXi6AwJ+2OQldiUxMcIxZoVE/PGnQw7apA/vsboS/Nn/e9R0KWZXR0dEAURTQ1NS07VtlgMGDDhg3YsGEDFEXBzMwMnE4n+vv70dnZifz8fI0oJ2tDpigKOjs74ff70dTUtCzyudxwkdiqucfjwejoKAgheP3115Gbm6tVk5daNc9KKVYeWSlF+rHmiXEy8Pl86O3tBSEE+/fvT7nObDnEmBCCgYEBDAwMRFWx6aSYLreLhSBJEjo6OuDz+XDDDTfAYrHMSbKL12QXGY1aXV2NYDAIp9OpPYDMZrO2BWiz2eb8/djYGM6fP4+tW7fO23Bo2lyG9Z87Al/HAKZ+0xrl8UvEsITCrAefl4PQlamozaHoEJBYBwslIgTEBmF8OiwrMM7xSpbNOrhDIiz6HOhlIHJvP1IawedZwFqMkGZ9Ual5DMOAVwDer8DM6KEUmiAYOPg9PsDtAc/z0IW9gBmGVau4kqJWjhmAy7WAMxnAcAwUQYTs9s9xp9DGI8nwB/zQ63QwBhSIEU1SrMkIzmoCo+NAFBmyNwDZG4xOD0wTSMS9yPAsCJFogTlcxWUBRtYKz5oPNFEVHAxLpRVxlNaMmoAnSRx4Xp5j0SYIHAKyHgajukkZEniAyOB5GTpegoETFlwYKIoa8cyzLGxVGyBOTGuWamoss/tq3HcicKwa3qLjILn9kNwBSAkS7gC1aY0vzAXDqCE4DMuAMapzGsOw0On10On1YK1GyHoOobEp+C6NQ1GuVtHNZhNYgw764lyILk9cyYNGmD3+Ofc+oH4e+rJ8kEBiwmzaugF5t9TBtLls/msQA9rkSwhBU1NTykMvIhfz27Ztg9/v16rJfX19MBqN2o5Xfn7+go1ttKq9XFKcaKxLDRdhGAa5ubmQJAmzs7NobGzU7OBGRkbAMExUuMhiFx/ZivHKI0uM04/rhhg7nU50dHSgpKQEDocjLc0XSyXGsiyjs7MTMzMz2LdvH3Jzc6OOSV+Tyq7qxUgpAoEAWltbYTAYsH//fuh0uqSS7CJhNBpRXl6O8vJySJKEyclJOBwO2O12sCyrkeT8/HwMDQ1hZGQE9fX188ZwUzAMg5z6zbDsroT7jW5Mv2iPdqHwCxD8U9DZzGCMOlUyEQE1BCSB/CIoIjQ2BUN5MaCQORHAgiAg5HEjx2iCTseAL7CqqXRT0ZHQgEpeEJZW8AU5YE0GSNOeKMkGwIAVFBgFBUboQEotEA0sgjNeELcXnJ6HzpADflZNmANh4lYfuRwTuBwjwHEgogTF40fI40MgEIDRaIx7/yuB0Jwx64psgCSDL7Spkc1c2Lc4nBpHiAIiKareWZSgCBIgLWFxKEXotvUcAAYkXAVmoMZEg40wnLgqM4YiM2A4deco3lyuKACROYQEHorCwy+wYBkGLGToeFmtTrOKmnrHAHqdogWJAAS6nPmnSVmR4ZVFGIpz1UAUlgVfnAvJ6U5oqaa917A0BzKBOOlJSCwpeJsZbI4JJCSqr49dpPkF6DcUIjTqUn259TzEiRkwBDDqDVB4Hfx+n/pGjTrM6GToZ93QebxhyQUHTXKh46ArzYM0uRBhDmg7JFFgGFj2VCLvvbVq0E2SEEURdrsdHMehoaEhpW4/iWA2m1FRUYGKigrIsqy5P5w7dw6SJEXZwUU2tsWS4uVWtRdCsuEikSEjNJCnrKwMZWVlUeEiQ0NDURrswsLCeTXEWWK88lBWyJViJc6RqVjzxHghKQUhBIODg7h48SJ27doFm82GsbGxtIxlKcSYWrGxLIv9+/fPadKIbOpL5WS7kJRienoadrsdpaWl2LFjh9Zkt1x/YkBtGKFbfJFbmT09PQgGVcJXVVWVtMyF4TnYbtqNnJYazPyuA+7Xz4NEkDRp1g/MqtIAoiiabzGAKPmFYWMhQuOqHlJXaFUb8IadV8dfYAVr1MF9xQkxpAYhcJz6VdIq1ox6HkbPQ5pyaylh2limvADU8/OFVrAG3dx4aTBgAiL0AUAPHZiNuRANLEIeP/xyCLxPBq/ThZutrhIaAKqtWERVWhAEBIgI68ZSGHMsgKR6Giv+BYibXgchSZs2VWvMq3pjHRdDqNVrTRRF1S6HCTVhGLA5JvW1EofARRm8kQErK2HJBAOdQUbQr15nlgtXTsLVT5aXwcoSFIaDLEHTGDMIV0dZBRxDoONFWBgGDMvEnfljC84sy4RDRwBwHDirEaxRr3oXywoEjx8+xySMvA6GgAIhELYuK8mLu8tDGEBXmAtGr4PiDUKa9UP2ziM94VjoCq1geA6yOyynmUeCweWoZM1YXgzROQNlKsJJRVHg9/vAWc2wrSuGODENRVIg8QwkSQxLKxjwZgMMxflgPUEIl+dWyhkdC11xPqSZ+ISZ4VjkNG1B3s210BXbEr+3eSCKItra2qDX61FbW7sipDgWHMehpKQEJSUlIITA6/XC5XLhypUr6OnpQU5OjkYeBwcHUyb1SBaJJBfx7OBEUZxzLWPDRYLBYFS4iE6niwoXiazae73eLDHO4prDmifG8yGyErt3717YbDaEQiFtwki1r2Uyul0AmJmZQVtbG4qLi7Fr166446EEdDmew/Ewn5RidHRUkzFs2rQJABDZBLJcf+JI0K1Mi8WCmZkZ8DyPoqIiLdmK6pKLi4sXrffjTAYUHtoL2zt2Yur5M/DaB6L2haj+UV+WD8kTiJI1EFFG6PIkOJtJtbgan5kTmSxOuhEIqG4Otk3r1CAElztavkCungcMA12JWnEVXe4ozTJwVdIBBtAV28DouDnHIwygMxlAJmbAAyC8CXIuIOkZeGUJRBFhBAcuJEPH6yI+H9WfVhRF5JhNYGeDEGavvl/WoAdnM6vJbgqB4gtAcqtNeYyeX3j7Pw5UrbEAJCHBYPQKiCBCEASIgSBMRhIO8lAijSJgMshqEl04rplWdhkF4DhVaoEYDkWTonV6GQplvnEW0wzDgCgEosxCEHgohEGumYWu2AbZH4LiC0Ke8UEOewRLktrAGK8CLzpmYNhQBOHKJFijHlx+DqAA4rQHonN+2zY2xwg+1xwO/3DPX0VmmTDR5lTZTlg/D4RDRIrNkJxuKIoMDyPBUJIHY0C+avkX4ZnM5hihGHkExybhH56Aoijgee6q04XZCL7QCsnliZu2x+h55O7bBtu794DPW3pEsCAIaG1thclkQm1tbUaER0RKw6qqqiAIAiYnJ+F0OjE0NAQAKCkpweTkJAoLC1ecHEdivga+6elpcBwHQRASapONRuMcDfbk5CT6+/sRDAaRk5ODl156CYcOHYLf709Jn87U1BQeeOABPPPMM2BZFh/84Afxne98Z17S/YMf/ABPPPEE2tra4PF4MD09jby8vKjXVFZW4tKlS1E/e/TRR/Hwww8ve8yrBQUrVDFO/ykyFtcsMfb7/bDb7eB5PqoSmy5pArBw3HQkKPmsqanBpk2b5iWa6YibjielIISgr68Pw8PDaGhoQFGRuv0ZqWVLJSmm8Hg8aG9vR15eHnbu3Kl9RsnqkmPB5+eg5KPvge3dezD17H8j0Hcl6vfC2DQYloF+QwFElwckpFZr9WX5kGZ8CA1MhMlqLhgdD3HSAyUYgt+vEg+L2QxlygcBPpWgaOR3NsovGYRo5IYJbz8ThoHonI12eiBQfwaoxyvNA8MyEFyzMBTZohqiGIYBTwA+BBjBQZbVqp+gKPBxCnQmIwx6PQSPH0QSYbGYwbJzq25KSIQSQ7wYnQ58rhlcvgUkqPoKQwlLJiQJRJShhMSlSSYSgIhSOHVNgNlihsD7QWRy1UKNuVrNjfexKzIAjgFRIjQWV98RGKgOFQFBDx0rgRBAEDlIEgdCGDAMwOsJeFZSpRVGQVUbGLirn0kERFFEIBCAyWSKIkFMWIfO6NSpVb+xGKERF+RAYtcJEt5dYPU6KN4ApFk/BG/iSj7VzBNZTc2LNz4AUPwhKIIIdkM+ZkbHYQoBBkZCrAabyzOrITnj04AXMOoMgM6gxReLPODlZeinZ8DPeObsULAmPWzv2oXcd+wEZzHOHUgSoDtoOTk52L17d0aQ4njQ6/UoKSnB2NiY1kcxMzODwcFBdHV1wWazaY48q2lnFulcceHCBczOzqKurk4rjCykTY7UYNNwkZ6eHvzud7/Dt771LRQUFGDTpk144YUX8O53v3uOb/Ji8bGPfQxjY2N48cUXIYoi7r33XnzqU5/CE088kfBv/H4/Dhw4gAMHDuCRRx5J+Lq/+Zu/wX333af9eyob7lcDWbu29GPNE+N4E8588cmRxDjVq/rFVIwJIejt7cXly5ejyOd8WGyjXDKIHaskSejs7ITH49HS/2i8c6QpfKoneGrAX1FRgerq6qjjx9MlO53OObrkhfySDRsKUfbp2+DvuYyp5/47imAShUAYnQKj52GoKFYb9sYitocJwsEJgAICD69AV5QDs8hE6WKhRJBfnoVuXR4YMBBiyC+RFc0mjuE56Mry1Sqlcza6DKAQiBMzICAwbCiEEhSh31AIEALZH4I064vwYma09D0D1IWMOBtCUHCDEIDlOYhGHoZcSzh8RFC35BP5G4syhCkP+KAA2Zd4m5/hODAGHVgdB0bHg+FZQLtHVA9iyAoUWQZECUSQIIeEKA9pAADLIujzQ5TEsCyFA6tjIYlS1AxFQKAQFkRRNccErKofJowqq+B4yBILRYwuCDOcWl6WFQJR4UBYQK+XYdCp/4Q/5kilB4AwWTbNnSJDkogAIyG3Yh0MZjOgKFBCImRPAIpfiNKMczlGMHp+blS3UQe+wKpJeiRnYrkKAaAvtIIx6qH4gpBmfBD8icNWOKuqWyaijODENDw9l2ApzYfBoouK9OYLrepCzjELOU6ohz4/B0az2mxqlhXIPANJkhAIBAAQcDYLcm7cgXW3NMJoXXqFmIL2NOTn52Pnzp0Z7Y0ryzLa29shy7LWFFhcXIyamhoEg0G4XC5t10uv12u65FR5uycD6irkcDjQ1NSkuUgkGy4CqBrsxsZGvPTSS3C73bj33nvhdrtx3333YXJyEu9973tx8OBBHDlyBOvXr1/U+Lq7u/Hb3/4Wb7/9NpqbmwEA3/ve93D77bfjW9/6VsLj/Nmf/RkA4JVXXpn3+FarNSWWrJkCgrlL/3Sd53rFmifGkSCEYHh4GBcuXEgYn0z9hmNjoVOBhSq7kdHT+/fvX7Q0IFmJxmIQSbYDgQDa2tqg0+lwww03QK/XL7nJLhkMDw+jv78fO3fuXHDiSqRL7u3tRSgUQmFhIUpKSub1SzZv3wjT1g3wtvZj+rdnrgZ5cCx0xbkQLrvULfc4sgeVEPhh1OthkDkwPAc+EfmVFC1mmtFx0JUUgMiyKq2IIKNEkjWSzhh46Apz1WQ7pzusHiAwrC+MG6/Lcqwa5mHSAwRhsuvTjq9qCXmYTEZIkgxp1g/P5CwARnW50OtgKMgFZzYCLKOGgcz6tfdhWJcf17IrEkRWQPyhJLfcGEDHgTWofsdgWcwGPJBZPfJsJWp0tqyAGGSEZoJgWAWAqhcGWDWZjiGqlTEjR83eLCGq93Esn6KyCwKwkg48K6mki0S9JNyvQJ0tCGSZhWzTgxTmqN8JSYFvahYhdwg5JhOY6QCE6cSuEYCq9daV5iE0Pg19oRWc2aAubKbixTJHjEfPq17ABJCmvQn9gtU3zkBXaAWr10Hy+MOSiqB2zxoMRuj8MoiBga4sX71HJDnhMfkCqyrnmZjR9MwMw6h6dp0O1qJc6G/YAs/6HExMT6H/rTe1Zq3i4mLk5OQkTWr9fj9aW1tRVFSE7du3rwlSrCgKGhsb5zhlGI1GbNy4ERs3boQsy5ienobL5dLmqsgGPpPJlNax0l3AiYkJNDc3R1mrLTdcJDc3F4QQfPzjH8dnPvMZnD9/Hr/5zW/wi1/8Ajk5ObjrrrsWNcY333wTeXl5GikGgFtvvRUsy+Ktt97CHXfcsaxr8PWvfx1f+9rXUFFRgY9+9KN48MEHU+5uspLIEuP0Y+3eHTGQZRnnz5+Hy+VCc3Mz8vMT+2SmQ5oAzC+l8Pl8aGtrg9lsTjp6Op1SCqpzLikpwc6dO1PaZJcIiqLgwoULGB8fR2Nj4xxd2GLGvhi/5Hi6ZIZlYG2pQU59NWZ/3wXv2SHIs74o8hkle1iXh0AgCP+oA0bDVS3pXPKbr1aDnbNRFdHICjRr0IEvtEIRJIgud9RGFQlJGlHiTHrw+TlgDDzEsfjkSd1Gj3bIYFgGxGqEO+CF0WqDRW+E7A5Ax7Dh+y1MkiUJwUAA/hF/VFIay7HgbWYwZgMYvQ769QWq7liSAVGGIopqc+AyBW5ElCGL6qLL7/eDmHSwMjwUl0cj2Qa9BEkngeUYVUhMwi7DCZrmAFVOwbKI0FqEXxfWDgOqbZsQ1MFglLRXSCIPSeagcCygAAwU8JwEvYGAlULwDI5DJecsCFFgNpnBzfNgZU16cBa1Ukzfr2lTCULDzjmfWSS4PAs4ixFKUIA05Zl3YcKG7xEoasiGGFNxjpR66M0G6ApyAU4NB+FtORBm51aodcWqG07ssSj0GwqQ9946WPZUgWEZlALYAswJzKDV08VWSH0+H1pbW1FaWjrHrzzTIMsy7HY7CCFoaGhYkGBFhodEJtNNTEygt7cXZrNZ+31eXl5KCxCEEPT392N8fDyqUpwIyYaLsCwLn8+nSUV27dqFXbt24Ytf/GJS4xwfH0dJSUnUz3ieR0FBAcbHx5M6Viw+97nPobGxEQUFBXjjjTfwyCOPYGxsDP/wD/+wrOOuJq4FV4p0acqXctx4WPPEmGEYBINB2O12AMD+/fsX1Dmlixgnquy6XC60t7ejvLx8SRN/OirGLMtidnYWAwMDUTrndDXZUUiSpNka7du3b9kVk6X6JTM6DnnvrYPtXbvh7x2B1z4A//nhqMY4IsvwXJqAIIRgsVphKisEkeUE5Dcc6DEP+VVC4lXyazaAz7eold4YsqQEBKAACA2qCWqcxQjOetV6TQ3jEBELURARmJ2FSW+AQZIg+1TtM59nAWtWNfZ8SIA04wfCn7EkShBFEcFgEBzHgg+GYCwrBBmbwhw/YHrNacVXx2uuE6qEIlxtlcPpdpIERZRBQkK05hpXfX9ZlkVuUT7kKV/U73lT2L+bjoLKHCJGxQBQCIFCGEBhoYABeAZEClvJhSM7WJaBIqsVY4mwEAUOMjhw1K4t/A9YJsKmDWB5BiaTGYQQBAL+cJwuC5/fD47noLPlwJhrAW80RMspAsJc72cG0JXmRSfJ8azaOMexkGZ8amPfTPR1oCAg0BVYwZoMUPwhSNNezQEjFqIowAcJtuoy6Bke0qQ7KuVR8E+ByzWB4TiI017o1+WBhKSEhNhYvQ55762DefvGuL+PDcyYnp6O2s2hFdLi4uI5czNN+dywYQM2b96c0aRYkiTY7XYwDIPGxsakJRGJkumonExRFBQWFmpEeTmWooQQXLx4EVeuXEFzc3PSQSWLDRcZHx9PWOR5+OGH8dhjj817nu7u7qTGlSy+8IUvaP+/trYWer0en/70p/Hoo4/OGymeybgWKsbp0pQv5bjxsOaJ8fT0NM6cOYOioqKoxq35kC5izHEcRPEqYSGE4NKlS+jr68POnTuxYcOGJR83lRpjmoLkdrvR2NiI4uJiAOlvsgsEArDb7TAajWhpaUlL53ayumRGx8GyuxKW3ZVQQiJ8XZfgax+Av/cyAr4AZFmC2WwBB0ar/GrkV1TJxPzkN0eVKcSSX38IQtjtgssxgreZIfmCkGf8alpfRKAETQ6LBGs2qGEcvEqW/a4ZBPx+mExG6HQRD1SFRPknA1ADL2wWsGajKjMIiRBmfJCCQYiihGmXC7xfBM/Ht4KjFd9koIZP6MDqeMgs4HG7oS+1ITfPBlavB2cyXD0HIeAKZYz3SOAA6KCeS2ZVTbGOyGAYBUzYAY5jALAKWAAKy4DTRX9XGIYB4Un4cjAIMToYDNLckkjMv3I6Foyeh08JQdYbUVBUCEYBJG8AoRkPpFkvZiZnwbJsROU9+lpFHlua9oIvsYHluXDohydh5DIQGeDBqDHQERZ/cxB2p/CLIfidAeQwejAuH+Yun1SSzfAcWLMBxlwTgpccYOKEoph3VCDvvbUwVpYmHOOcYbCsZu0VWSEdHx9Hb28vLBaLVk1mGAZ2u13rL8hkUFLMsizq6+tTohOOTaZzu91wuVzazheVpxQVFSWdTHfx4kWMjo4uiRTHQ7xwkePHj2N4eBheb/x78qGHHsI999wz73Grq6uxbt06OByOqJ9LkoSpqamUa4P37dsHSZIwNDSEbdu2pfTYK4W1HvCRLk35Uo8bD2ueGAuCgOrqalRUVCx64uB5Pu0aY0VRcO7cObhcLrS0tCQtF0h03OWCWtj5fD6UlpaiuLh4RZrsZmZm0NHRoW2XrkS3ebK6ZNagg7VpC4y1mzD6ditInwOlHgbiJWfULLEk8ms1gcs1a64DkYj0HDZsUhsA9RsKrjbJyXMXRYo/FLaRIwiFBLWqXZgHYzg5TRFlyB5/THhIGARz/HAZBjAW5SGn0AolKEIQQggFgvAFglAkAQaOg46w4AjAMsl/dkQhIH4BouyH3x+AUa+DQeYg+qagL4uvZzab1bHzrHp/sgwLiQAcTbmLcx45LKdIdPcSAuh1IgSJh569OgeIEg+RcFAk9S85ToHJzMM7rcpqrGYzpIhIZr1OD70urMWXJIgRTWm8QQ+dzQKjNQesjler80ERsjegBnNMe+dY9lEsFOARCdak7jpQOYX3sgOCEEKO2TKHuMUl2eH7VV+cF044DAEsg5z6auTdXAt9WUHCcy8G8SqkVHLR1tYGWZZhtVphsVggiuKqWpzNB0mS0NbWBo7jUkaKY8EwDGw2G2w2GzZv3jxHnhIpySgsLJxXwkFJcVNTU0pIcSxYlsXTTz+Nz33uc3jyySdx+PDhuK+jRYiFsH//fszMzKC1tRVNTU0AgJdffhmKomDfvn0pHXt7eztYlp0j3VhLWOsV43RpylN53DVPjEtLSxeVjhaJdFaMZVlGKBSC3W6HoiiLknYs9rjLBbVC4jgOGzduhCiKc5rsaCdyKjE+Po7z589jy5YtqKioSOmxF4vF6pJzc3PR09MDk8mEPR+7XV1Ezfrg6xiE134RoRFX1HEXTX4j/GUp+YmNhtZvKETokjPq72KlEEowkiwTBMNVXrPZAk5U5lQgWbMenNWsVpal+cmyPOsHo+MhhSUgRgBG8JCJAikoQZCCkBUFnEEPncUIg8UM3qDXwjsYqLsRRFFARFn9RxAhh0QwBJAkVfdqMMT4/ia43zgdC0lQrk7Q9InARATfMSrpVggLhbAQZAYSy4HXUvDUMA8lHNUtiOq5FHCQGQ4cp8opdDoZOkYGodyMAQirSidMJnPc7wRr0oO1GGHQ8+rrBQmC2w/B7UXQOQv/hOoZS+O8WZaDPOuHrjQPwsRM2HN58QEeBICuUE1MVHxUThFCpFe1OYIUc7kmcFYziDA/yRads9CV2GDdtxW5N+6AriA9dlY6nQ5lZWUwGo1wOBwoLy8Hx3G4ePEiOjs7kZ+fr5G/dBC6pYCm7/E8r9mcrQRi5Sl0Ud/f3z/vtRoYGMDIyAiam5vTFrzx7LPP4r777sO///u/JyTFyWDHjh04cOAA7rvvPjz++OMQRRH3338/7rzzTq3KNzo6iltuuQU/+9nPsHfvXgDqc2V8fBz9/f0AgM7OTlitVlRUVKCgoABvvvkm3nrrLdx8882wWq1488038eCDD+Kuu+6atwcpi2i43dESK4PBsCwZSro05ak87ponxkshcekkxoIg4M0330R+fj52796dkol0MfHNC2F2dhZtbW0oKirCrl27MDQ0hGAwmFY9MSEEAwMDGB4exp49exZVPVgJJNIlj42Noa+vTwsZ8Xq9sNls4G0W2G7aDdtNuyG63PC2D8Bnvxil2wRiyG+eBazFOIf8AtHVWhoNzfBs/C3tuFIIBlyeGe5QAJLegDxzIYgnmKCyLMwhwqxJr8ow9HyYLAeg+ELQFeVeDSW5erKrVnCGq9620qwPwUm3JiPQ8Ty4BDICBoAIBT5FhLW0EMYci2qhRj1WTXrVii4ShEAeVBBwCzCYCCApEAkDSSYgPAlXkRW1OswAHEPAQIGeVf9Wz12td0RKKXS8Oj5J4aGLqBgzDBOhrAi/1sLBZDGDt5rBmfQAHw5BCQnhCutcLTEDwGAwwmDA1WsliQiGQuq1yjGCBIMwVpWqWuHJ+QM8GD2v2qqBgTTtgTQZK6cgCAaCkGQJltwcGIrzwOhUki27A5DdCVwzGAbGimKYdpTDvKMchtjrnyZMTk6io6MD27dv16RlNTU1CAQCcDqdcLlc6Ovrg8lk0nTJqW5KWywyIX0PiF7Ub9u2DX6/X6sm9/X1wWg0ori4GJIkweFwpJUUv/DCC/jEJz6BH/3oR/jABz6QsuP+/Oc/x/33349bbrlFa5r67ne/q/1eFEX09vaG0xlVPP744/jqV7+q/ftNN90EAPjxj3+Me+65BwaDAb/4xS/wla98BaFQCFVVVXjwwQejdMdrEQQrE75Bp8NYd68vf/nL+MpXvjLn9ZmgKU8V1jwxXgrSJaXweDyYnZ3F1q1bUVVVlTKiuVwiPz4+js7OTmzZsgWVlZWa7Y4gCJAkCTzPp5wUU5eQmZkZNDc3Z7SputFohMFggNfrxZYtW2AymeByuTRNYVFREUpKSlBQUABdUS7yb61H/q31EMam4LUPwNt+cY6MIpLM8gVWsCY9pGnPHJIqTXmh32BA6JITrF6nukLodYCsQPYFIXn8c8gyUWS4R9XKcq7ZDCL4ASaisswAJChCnPHFJ8txCB1r1IEx6aEvy1eZJo2LUyIa6QQZCAnQs6xm6acSPwn+QHhBEOFyQf2MqdQjx2QG5xch+meizq1fXxg3Sc1oCIEYBXAcVE2xwoJjAI5TiXAiiTAhgAIGbMxmYKRhvY6XEQrpYNCpKlwZHEICC1lSCbLewmD9unxV5uL2Q3YnjmGeA44Fn2MCY9LByHGAokAOCAjNeCAGQvB6nPBedoAryYMuEJrz/Zsjp0joTkEQUCQIuXoU2EqgzPjnJdmsSQ/Ttg0w76iAefvGZYdxJAun04mzZ89i586dKCsri/qdyWRCRUUFKioqNH1pOprSFotIUlxXV5dRQSNms1m7VrIsa9HNbre6UL148aJ2rZa7WxmJ06dP4+Mf/zi+//3v48Mf/nDKjgsABQUF8zZIVVZWaruaFF/5ylfiEjSKxsZG/Nd//VeqhnjdYmRkBLm5udq/J6oWr7amPJXHvS6JcaorxtQWZ2RkBEajMeWNJEt1paCdyYODg6irq9O2GRRFQU5ODgYHB/H73/9eI36pijIVBAEdHR1QFAV79+7N+O5f6qe8a9culJaqjUbr1q1LqEum2jl9WQEKygpQcHszgpcc8NovwtcxqFWNKaSpyMjncIpeOPLZsKEQoXCjHRHmOgOwOh58nkUjy4LbB9/EJDieCzt6XG1Yi99kZw432TEgISEhWeZyTBBiZCKJwHCsGuyh56HnVU9nsAwESUQoEEQgGIQkCDCwvEqoJRGWOLrXq4ivZtOZOATUtwaG+gszDBQF6sylBvIBhIFCGIgKC4mwkGUCVmRgZFUZBsOxUCQChWEgiywAApZjIIqs6lvNy+B4GUa9DMITMAygz+HnfI6xYA082BwTWIMOAKO+V39IXdDM+oAYjsqDBW8yQfVIViC5gwjoGMDrAZufA4PZBJ2gLCin0BdawRh0mB53gnhDyGXMkF3xPYn1pXlaVdhYWarKXlYBExMT6Orqwu7du7XvWCLwPI+SkhKUlJRojcKRsqfleiYvBEEQ0NbWBqPRmDGR1InAcRz8fj/8fj/27t0LlmXhcrlw5coV9PT0ICcnRyPJi0kLTYTf//73uPPOO/Gd73wHd911V0a7h1zrULAyFWN6jtzc3ChinAirrSlP5XEZErsMW2MghEAQ4mgm50FPTw8IIdixY8eyz08T49xuNzZv3oyBgQFtSydV6O3thSzL2Llz56L/hjbZzczMoKmpCVardU6THQB4vV44HA44nU74fD4UFBRoN/hSqg1erxft7e3Izc3Frl27Vm37cTGgKYTj4+NoaGiAzWab97U+n0+7Vh6PJ65fMlEIgv1XVLlF59Bc264wGI6FoaIYCk2ES2DBFglZluH3+6EzG5FTWgDOoAdRFMi+ECS3b64MI+6JAT43TJbZcGV51gc+LwfSHBnF0qEoMvz+wNUkLZ6DzmyEwWICbzKA5TlQHQRr1EW/93DbdcgjYuRVJxiWQM/KCIqquJhjCQx6tZJNi9sggEQYKIDmWaxKf4lmQ0hAtcaqS4YksuC5cLNs+NIxYeGypUSPnDITCADeagJr1oPheIAQKIIIxRtUY7GTAAFRrffMBi0ymsgKJE/Y5UISIUnyHJcLRq+LklPIAQGBgB+EqNXDSJLC8BxMW8o0MpwuvXAyGBsbQ3d3d0rkVJFNaZOTk0l7Ji8EQRDQ2toKs9mMPXv2ZDQpBoBLly5hYGAATU1Nc8iLIAiYnJzUrhfDMFENfIstgrz55pu444478Nhjj+FP//RPs6R4leB2u2Gz2fB39Sdh5NKvwQ/KPvxF+wcwOzu7KGKcDG677TZMTExomvJ7770Xzc3N2q7BfJryM2fO4L777sNrr70WpSlfzHEXi+u2YhwKJY66XSz8fr+23bZ//374/f60apcXC+rrzDAM9u/fD4PBEBXaAVxtsqOrwS1btsDv98PpdGrWSlarFSUlJRrxW2hCnJycxNmzZ1FeXp7xnqR04UArLQuZ30d22FNdssvlgsPhmOuXXLMepq0bUPSBG+HvvQyffQC+88NRscC6dfkIDk5EnSPWgi2SLEc1rnE6SC4PIsVArI4Hb7OAMejUrXtfEJI7MJcqx3Gk0BXbIHsDYRkHD3AsGCreBQBFCcspZCiCBBISE7oqAOoiIhgMgmEAqzUHgBolLAVC8Hh8ABjodCrx4zgeuuJcSHEqngwITAYBRCHgOQLVkA1akTz29qIVZQqZADwT+fvo1/OcjEBID5NRgCQBMtFDlliAAPlleeBtrKYbX6h6HIUIKQXDhXXJwRBkTxCKLwQlJmabL8iB3mSEXo5wuTBw8HAKGEGAYTYI3hfQnAj8fj8Y5iop5m1mjQibajaA1WfOtD46Oore3l7U1dUl3SQdD8vxTF4Ia40UDw8PY2BgAI2NjXGJi16vR1lZGcrKyqAoCmZnZ+FyuTA4OIiuri7YbDbtWiWa38+cOYMPfvCD+Nu//dssKc4QrHVXCiA9mvLFHHexuC4rxoODg5idnUV9ff2Szzs1NQW73Y6ysjJs374dLMvC4/Hgrbfewq233rrk48bDwMAA3G73osbrdrvR1taGgoICrWIbGdoRG+uZCIIgaEEZk5OTWoNHSUlJ3C25kZERXLhwATt27EjKL3A1EAqF0N7eDo7jUFdXt2z5SKRfcmRlhuqSOY6DEhLh7x6Gt20AsjeA0LBz4QNDJcsCD7h9XuRZrOAFecHKMgWj48DZLOpW/zxkmS+0QpovcjjuwBiweh1YA68GffBqyIeiKJiamgLHsrDl5KoaZUGEopFpoqXvSZLqisLlWqAT5LDWNvrenOxxQwop0OmAULhiTMJVXYYARGHUCGiFhV9i1HhriYZ7EFj0CjiWBVEUiAoLIqvcmeUAKASixMJkFsAxChiWUZPvWKB4V6767/NdgnmkFMk+VfQbCkBEWXOnUO37wpILSYQoSler7xwLW005cmurYd5ZAcP65dmqpQsjIyPo6+tDfX29VtFJFyI9k51OJ2ZnZ6M8kxeSEVBSbLFYsHv37ownxSMjI+jv70djY+O8O12JQBf2TqcTU1NT0Ov1KCoqwvj4uNYT0t7ejoMHD+Iv/uIv8NBDD2VJ8SqDVoy/toIV479KU8U405E5pYUlYjVcKUZGRtDT04Nt27ZF2Y/R4xJCUjqJLDbgY2JiAmfPnsXmzZu15r+lJtnp9XqtMkMbPBwOB9rb28EwjFYdzc/Px8WLFzE2NobGxsaMt8Hxer2w2+3Iz8/XIrCXi8X4JRcXF6N4ZznW1W8GUQjEiWmELrsQuuyCcHkSoSuTcaqwBIHpWQiCCJvZBFYOQsH8leWovxblOfIINoYsg2MhOWejEuUWBYVACQpQglcXpWqanQ86jofJZIQUjJFmMAxYox5GvUqmwbGQiIygKCLoC6hetjwPg14Pg04PjmGg6ASIPgEMT6AQEpZGqNeGZwkQ3jlnIIedLgCiu8pKeV6tGhNCoFcYrWrMhKOl9Tr1byLLMCzPaKR4ISmFElr8gkKVUpjAWcJSCkJUGY03CGF0ak6wS5QjSC6PqRwAm4rAVhahz++ByeRDkceJ4imsmnNDItAt/qVEvi8F83km090zWh0tKCiIWgyHQiG0trbCarVi165dGXUd44GS4oXkX/PBaDRi48aN2LhxI2RZ1irvn//85zEyMoK6ujoMDQ3hk5/8ZJYUZxhWWmN8PWLNE+OlYKnEWFEU9PT0YGxsDE1NTXOqILQ6mw5iPN94qS3awMAAamtrteaWVMU7cxynNcNEEr+enp5wlDCH6urqtFkEpQpU6kGTttIx2cf6JVNd8uXLl9Hd3R2lS7a2bIW1ZSsAzCHLoREXZi5ehiyKsFjMYNmr2smr4R4R510iWeYLcqCEJLWKqteB0SrAnCqnYCP8iWUFRJZBwnIKOSRpZFrTP+t0MBojUuyiTk7iOmIYORYGmQEhPESfBGk2iKAkgWUZcJzaHKfudMRebOZqeh3LAHG+IrKskuPw6aPGAgAcR+ARDDByAmRFB0liYc41QL8uD0pAWLKUgrMawRoNYDkGRFYXEbI3CMWn/hMPwugk9OvyIYT9hvWleTDvrABTWYSuyREUFRdj+/btakhHuNva6XRqzg1UP1pUVLSqYRnUojGe7nWlQD2TY2UEsZ7JNpsN58+fXzOk+PLly+jr60vpgiMyPKS9vR3PPvssvvGNb8BiseA73/kOfvvb3+LgwYM4ePAgbrzxxnnDRbJIP64FKUWm45q4w2lldLHgOC5puzZBENDe3g5BELB///64mlTa+CHLckon2Pl8jGVZxrlz5zA1NYV9+/YhNzdXI+fpiHemxM9sNmNychK5ubmagXZ/fz/y8/M14qe6JmQGrly5gu7u7hWVeiTSJTudTly8eBEmk+mqLtlmg76sAPqyApgaqtHR0QGxpRi711eBONxXq8tXpuLqe+cjyyzPQYlDlnWlNogTYesEoib6IYmGMgYAa9BBYgg8/iAsZQWwWK0qSQXUimhs2EdQjKbMHAsiU927agNHreBkSYKkU0mkKBHIEqtKJAgLhQCcngEjEtW1gufgDxCAY6HIJGpWz8kBIMqqfphRHyssC7AgYDlAURhwOgKeE2HgAbORQBifWfD9s0adKqXQ86rrh3hVSiHP+CFj8RZvrEkPfUkedOvyYb1xB8zbN0JXYIXH40FbWxvWr1+PLVu2aN/jWOcGt9sNp9OJoaEhnDt3Dnl5eVH60ZUAdcG5fPmy1vCbCWBZFvn5+cjPz4/yTHY4HLhw4QI4jkNhYSFmZmYyrvIeidHRUVy4cAENDQ1pq8L39/fjwQcfxJ/8yZ/g0Ucfhdvtxn/+53/iueeew4c+9CHccsstSTcyZZFaZIlx+nFNEONkwfN8UhVjj8cDu92OnJwcNDY2JlwxRxLjVFZsElWMacIeISRhk106gjtmZ2fR3t6O4nAFi2XZuA+cnJwcTZecDlulxYA+rEdGRtDQ0JB2reN8iNy+jNQlU3lKUVER8vLycOnSJRiNRjS3tKj32qZ1VyvLsgJhYgbCZRdCo0snywzPgtHx0BXbws4YIpSQFNfKbT6EvH4EAgFYTCbovCIE79S8r6dkmtHzYPQ8WKMeRJLVyq+iqERaVgCZgJNlmAQWIZcXHAuAC4+NyCCqnBi8Ku8FYSRwJqhSihiDY55jwLEEcsTXlkopwDLI4WRIEgsdDQExX33hVSmFQbWlI0SVUHiDUILiovXe9M3z+TkqAS62QVeSB12JDfqSPHDWuYtIGspTWVmp+Y/HPWxEnPCWLVsQCAS0BVh/f/+KhGUQQnDhwgVNo5rJu0cmkwklJSUYGRnBunXrUFJSgsnJyVXzTF4Mrly5gt7eXjQ0NKRNrjYwMIBDhw7hj//4j/H3f//32n31oQ99CB/60Ie03cIsVhdZKUX6cV0S42SkFA6HA2fPnsWmTZuiKjbxQBvbUu1MEW+8Ho8Hra2tUQl7sfHO6XgATkxM4Ny5c9i8eTMqKiqirkekSb8oilrz3tDQEAwGg1YdXamqjKIoOHfuHGZmZtDS0pJRD+t4umRa1QbUazkxMaH6JUc8nBmOhWF9AQzrC2BFHLIcWVmWEpNlfWkeQqOOOb9neA6MgVdlFdSjmIHm9kBkBZBkKJKEgNuLYCgIs9mc1PZqZGWayzNDnklcWdUZVQEwYVQmrPkZQ5VIE0atDiu4OsZYyLLaUDf3zYYlIgTwhfQwKQSywmJ9TQk4hkAOClCWIKVgdFyY+KqkV1dig65Y/V9Wt7jrNDU1hfb29iXFqJtMJpSXl6O8vHxFJBeEEPT09MDlcqGlpWVBh5fVRjAYxJkzZ1BQUIAdO3aAYRiUlpauimfyYkA9ievr69NGii9duoSDBw/i2LFj+Na3vhV3fqa7hVmsLkj4PytxnusV1wQxXoqUYiHySgjB4OAgLl68iN27d89JalrOsZNFLNl2OBzo6OhAdXW1ppVNlZ44EQghGBoawuDgIHbv3j0nkzwWOp0O69evx/r16yHLMqamprRFBnDVDLywsDAtXseiKKK9vX1NhIzQh5DT6URlZSVKS0vhcrni6pLjbYtHkeW9C5NlApLQg5dIsmrL5pvPzpAgGAxBFEVYzGbwBr2anEe1yRwL0CAJQtQKbphMk5AERbhamWYSEGoCAobjwBlYSOAhSgxkRdURE4WBDECRAZMeqrsEYUDXAdS1jfJ5lgNYKOBBwIZ9jzmOgGUIqAmcnldg0EtgeQayYzqeXHkOuBxjVNVXV6JWgfm8nAUdLeYDJbHbt29ftuwn3ZILQgjOnz+P6elpNDc3Z5R8Kh4CgQBaW1ujSDFFpH3l5s2bozyTh4aGUu6ZvBiMjY2hp6cHdXV1aSOlo6OjOHjwIA4cOIDvfve7GSslyUJFVkqRflwTxDhZLBQJLcsyurq6MD09jb179ybV+ZsOYkxdKSg57e/vx549e7SYw8hKcTpIsaIo6O7uxuTkJJqbm5NuqOE4TiN2hBCtee/ChQuaa0NJSUnKti79fj/sdjssFgv27NmT0SEjgGpcfu7cOWzfvh0bNmwAAFitVlRVVc3RJRuNRs1bej4LqoRkeXwawvgUpGkvFJ+qh9V0seHGMCU0n/6eIBAIQpYlrSmQSDJkb3L3PMNzYI06cBYDIFlUCYWkALIc/l/1HyIrMBgJGFEG4QCw6nTNMAyIQqDTMWAUohJlwgARFeWrJ1MneY5hwIZ/p7lOhJ8yJr0IQeQxhxsyDHSF1rgEmDOnfrFF74XFJMQli1RLLuiOjMfjQXNzc0rjh9OBQCCAM2fOoKioSGtinA/p9ExeDGgwSqo8oONhfHwct99+O9797nfjX/7lX7KkOIsscJ0SYyo7oNXVSASDQbS1tYFlWU23m+yx00GMJUlCV1cXXC6XRtbT2WRHQeOdZVnG3r17l/0AYBgmqhGGujbQrUubzaYRv6Vsyc7MzKC9vR1lZWXYunVrRtsMEUI0W6u6ujoUFRXNec1idMmLrbwzHAvDhkIYNsz/kCWSHCbKISi+IGS/Gkwhevy43D8IxRdCcW4emKCovsa/EJlOcA6vDC7XrEZZzwPOwEIJqQbETIyvnALVsY0SXIRT8OacD4CgKNCzDNiw/7GsMJAIA1lmISsMQoIB7BYb8g9shT5MfnVFuaqcZAVw+fJlXLhwIeG9kGosJLmgNoPxJBeKomgBOU1NTRm9IwOoi+XW1lYUFxdj27ZtSc8LLMuisLAQhYWFUZ7JNAwpGc/kxWB8fBzd3d2ora1NGyl2OBw4ePAg9u7dix/+8IcZX0DIQkW2Ypx+XBPEONlJKJF7xMzMDOx2O4qKipZs3ZMOYixJqrm/x+PB/v37YTQaV6TJzufzwW63w2q1ajrmVCKeawNt3uvr69MeNiUlJbBarQu+P6p/Xoouc6VB46gnJiYWXYVP5JccWXmnlfnlVN4ZngNvs4C3XS2fCoKAbrsd/A1VqKurm6MpJqJ8teocrkCrpDri/4dJtByuVBNBitYFM+FKctjnmNHzYHQcGLcB46MeSAoDTmZBwEEBC1EAGI6DhVEwK/EIhRgwHA8hRCApLCQJIIQFq9dhSpThFwFJAtbpWVhZFqIESAYWTIiBomcgBRXc9qV65N+6ccnXbqmgC6R0NlfNh2QkF0ajEWfPnkUoFEJTU1PGNKglAiXFJSUlKVksL8czeTGg81g6F0gulwuHDx/G7t278ZOf/CRrwbaGkG2+Sz+uy29DPPeIK1eu4Ny5c6ipqcGmTZuW5fmbSmLs8XjQ3t4OAGhpaYFOp1uRJrupqSl0dHRg48aNCzYdpgpGo1GrYNGHjdPpxJkzZ6DT6aJCRSLfc2Tldc+ePSguLk77WJcDKtXxer3Yu3fvknSZ8fySnU7nonXJySAQCKCtrU1bIMW73xgdBz7PAj5v8eciogw5EFLJsE4lwfHgfnEcrz/zNkSRoMDAq8HQBJBEAp5nUGyS4QqwkCVAb+QgBMJa+3DsuQ4cZkMCwoF5GBMJzCU6YFKEJMkghMGYqKCY5bH5xpUlpdSDfGRkZFV9fyOxkOSCYRjwPI8dO3ZkPKHy+XxobW1FaWlp2naQFuuZXFRUtOB30eFwoKurC7W1tWkjxdPT0zh69Cg2b96Mn//856vqeZ3FEsAgyTSmZZznOkVmz2ppAsMwmjyB2gyNjIygvr5+2aQqlcTY6XSio6MD5eXlGBwcBJC60I75MDo6ip6enijN60oj9mFDm/e6urqgKMqc5D2Hw7Ek/fNKg/phA+pCJxXVtsgKVlVVFUKhkOYIkowuOR6oj25paemStqDnHbeOA69bWC5T/Y4wQWAAxsSCCRFIglrPkCQFAsNCllQdhSjLIMxVUgwArI4BieglZI0cBjwSNuhZsAyDy4oEhQDEQtDW9SbyLudp91c6HRbo3EN3DTLJNSUSVHJRVlaGtrY2iKIIm82G7u7uBSUXqwlKitetW4eampoVWdwn8kx2uVzo6+ubV8ftcDjQ2dmZ1sX97Owsjh07hvXr1+OXv/xlxlf7s5gLgpWp5malFGscS42FDoVC6O3thc/nw/79+1NihJ8KYkwroH19fVoTzuDgIGRZTQBLp/NEf38/Ll++vOqev5FgWVaruBBCMDs7q1Wv/H4/OI5DVVVVxuscaeU1JycnLdIUCoPBkFCXDCzeEYTuGizko5tuGM08cvL0mJ4MgegYIEigKAQcy0BRGIgsB0AGUQhkWQHDsuAYVvMzZnRXx83xDIKCDL2ew3BIBq8HQjKBSceheEse3vGOZq062tfXB7PZHBXCkqprEOvmkOkWZ6Iowm63g+M4NDU1aX0amRAsEg9erxetra1zglFWGpEWllTH7XK55ngmMwyD8+fPY8+ePQs6/iwVHo8HH/jAB5CXl4cTJ05k/HyZRXxkNcbpxzVBjJcChmHQ2dmJnJwc7N+/P2WVjuUSY0VRcP78eTidTrS0tGgJRwzDQBAEsCybFlJMt/c9Hg/27t27qg+1+cAwDPLy8mA0GjE5OQmbzYbCwkKtOpqbm6tVRzPpPbjdbtjt9rRUXufDUnXJExMT6OrqWtVdg0gUlpsxOy1AUojmLMFyDBSFIKQQKOFGVI7jIIkE0DOAoHocE0691gzDQGTCSXlQqy4+QQEDBiwDFG7LmdOQlmhRUVBQsGQZgaIompRmLbg5CIKAtrY2GAwG1NbWaoupTAgWiQdKijds2IDNmzdnTANurI6beiYPDAwgEAjAbDbD6/XCZDKl3DPZ5/PhQx/6EAwGA5566qmMv+eySIysj3H6cV0SY5fLhVAohJKSEjQ0NKR0AloOMabb7KIo4oYbboDJZNKa7CwWi9ZVXVJSMkdnuxwEg0G0t7eD53ns3bs347fXaBJhYWEhduzYAZZlNd9R2rzX398Ps9mskeTc3NxVe0C6XC6cPXsW1dXVy9KvLxeJdMmjo6Po7u7WFhWSJGF4eBi1tbUZo9cu227FYNcsgiEZOiVMdFmV3gpQIHAKjOBAbSkEQYbRwEEOKtr0zhgYSKGrm5Asz4CR1GNxDLC+LtqWMXZRQXcq+vr6EAwGl2TXJcsyOjo6IAgCmpubM/67FgqF0NbWBrPZjD179sw75yzH5SJV8Hq9OHPmDMrLyzWP90wE9UwWBAFDQ0Oap3I6PJMDgQA+8pGPQFEUPPfccxlVMMgieWSb79KPa4IYL3byi5QomEwmlJWVpXziXGryndfr1RqcaOx0ZJNdS0sLZmdn4+psi4qKljxxut1utLe3R5HMTAbdhty0aROqqqqiPr9YCQGtXrW1tWleyqleVCwEqtfetWuX5judCYinS3Y4HLh06RICgQCMRiOmp6eh0+lSKiFYKsrrbGBOXIYiE8gRH52iEIiSDFHHwqggav8vGFLJsUQIOCOLQCj6e8lwDBB2mZMZYMe7Ei8CIrWjkYsKatdF48+Li4sTOqhIkoT29nYQQtDU1JRRetx4CAaDaG1tRW5ubtIuPekOFokHmgZaXl6OzZs3p+SY6cTk5CTOnj0bNTek2jM5GAziox/9KPx+P1544QVYrdZ0vZ0sVgiqlGIlKsbXL64JYrwYUIkCbdLq7+9Pua0aoD4QQqH5UsPmwuVyob29HRUVFVqTSKw/Mc/zmo/m9u3bo3S2XV1dSwrJoCS7qqpqVTWki8Xly5fR29uLnTt3LphEyPM81q1bh3Xr1mkPGofDgXPnzkGW5ajrlY7Oeuo2MDw8nFF67UTQ6XRwu90ghGDv3r2adV6yuuR0YfP+AjCMGgMtMYCOZdSQHkIggoVbkpAL/ZxwD0FSAIZFUIj+rsdO+oyRRWnN4pvfLBYLLBYLKisrIQiCtgi7dOkSdDpdlF0Xy7IQBAF2ux06nQ51dXUZ7xlLE+Ly8/Oxc+fOZc0NKyG5oKS4oqIC1dXVSx7rSmFychIdHR3YsWPHnAVzqjyTBUHA3XffjcnJSbz44otJBVVlkbnIaozTj+uCGIdCIbS3t0OWZezfvx8mk2nB9LulItmK8aVLl3DhwgXs2rVLi39dyHmC6mzz8vKwZcsWLSRjeHgY58+fR15enlatiVddiLQ327VrV8oTtlIN2hQ4OjqKxsbGpH1eIx8027dv16pXAwMD6OrqQkFBgUb8UqG9o0mBU1NTaGlpyVi3AQpZltHZ2YlAIICWlhYYjUbYbLYoCYHD4Ui5X3IyKNuRC72JQ8AnQWQAjqj6YZZjIcgywAEyz4ARo6dzRSHwhUTMSYwnAIn4WuVvMC2Z/On1ei3+nDqoOJ1OdHd3QxRF5Ofnw+12Izc3F3V1dRm/K7PcMIyFkGrJhdvtRltbm7aLlOmgTa07duxYcIGfjGdyXl6e1lAniiLuuecejIyM4OWXX14Vb+ws0gPCRM9d6TzP9YprnhjTSTMvLy8qHjgdQRzJHFdRFPT09GB8fBzNzc3axEWrxIt1nogXkuFwODQiY7Vao5rRCCHo6emB0+lEU1NTxlcRZFnGuXPn4Ha70dLSsuxt19jqld/vh8Ph0Koxubm5Uf6/yZICSZK08ANKMjMZ1G2AYRg0NzfPISKJJASxuuR0NzsyDANbqRG+Pg9CsgQzy4PIDBgwEBQFLM/AT2SYY2ZzwgCyEC8Kj2jhOGCA4urUjD3WQcXlcqGrqwsMw2ByclIjnJnWHEpBG9fKyspWxOJsIcnFQn7cs7OzaGtr03a9Mh1TU1Nob2/H9u3bFyTF8TCfZ/JDDz0EjuNwyy23oK+vD/39/Xj55ZfTlpyXxepAAYGyAvXclThHpuKaIMaJJu/x8XF0dnaiurp6TiNGuogxz/MLHlcURbS3tyMUCmkVbBrvTP92qc4TRqNRsweiW7wOhwMDAwMwGAwghIBhmCUHS6wkIj1/09UUaDabNTsyQRC05r2BgYGk/X9DoZC2Xd7S0pLx4Qc0/pw2Vi0YKb0Iv2Sq406HLtm2Xo+RbhlgAd7IQZAVcBwQkhUYdBxmBQlG6KJ86RUeCY3qRUl1pOB0LDbtykvpWAG18trd3Y2ysjJs27YNoVBIkxBEXi96f612JZnKETZu3Lgqbg7zSS7o9YqsjlKPbdrUmumYnp5Ge3s7tm3bpu0OLgexnsk/+clPcPLkSZw8eRI9PT2orKzE17/+dRw6dAjvfOc7M77RM4vFISulSD8y+8m9RNCt96GhIdTW1saVCqSLGC8kpaCm8xaLBTfccMOcJjtAfUCk4qEUucVLHyIMo2oz33777VVpRlssaBw1bfxZCU2mXq/Hhg0bsGHDhiirLrvdDpZlo6y6Ysfj8/nQ1tamaTIz7XrGgjZ7FhUVaR3xySJVfsmLgcfjgWx2g2EYsDwLGFggqIA1sYBf1R4rIBD1BPrQ1fdC2PgTPMszYMSwuwUH7LgxtSljdKcqkmQajcao60UlBB0dHQCgkb7CwsIVX1TRymtlZWXGyBHmk1xQqdm6detSQjLTjZmZGdjtdmzdujVt9odbtmzByMgIBEFAT08Puru78eyzz+Kuu+6Cz+fDRz7yEfzgBz9Iy7mzyOJawjVHjCVJQmdnJ9xuN2644YaEXbgcxyEYDKb8/PNVjCcnJ9He3o6NGzdq8aSxTXbpqNJMT0+jo6MDZWVl2Lp1Kwghc5rRUuFwkerxbtiwYdXM+eP5/zocDvT09EAUxajmPa/Xq8VnZ5JvaiLQhzRtVErFeONZm0XqkgsKCrTrlWywAB1vzQ0l6H1uFCzLQOHDY9arxFiW1LQ7P6NAj6v3r6y6t80Fe/U9MxyDyubUaTDpeOfb3o+VENBmWhojHOlCkO6dHTreTK68Rl6v6elp2O12FBQUwOPx4NVXX01pBHqqEUmKN27cmJZzKIqChx56CK+++ipeeeUVbNq0CTU1NThy5AgIIbDb7RgYGEjLuefD17/+dTzyyCP4/Oc/j29/+9srfv5rEVkf4/TjmiDG9MFOk8V4nsf+/fvn3TpajORhKUhUMR4eHkZvby927NihTY4rEe985coVdHd3Y9u2bdp5GYaZ04xGvX+X6nCRKoyPj+PcuXNR411tRPr/btu2DV6vFw6HA0NDQ+jq6gIAlJaWYuPGjRlPiqkTSU1NDcrLy9NyjsXokuluxUIkhlYIa2pqkLu7CL/58igYlkFIVMABkDl18lYUAl7HwiNKsDEcmPCcroDMbbwDtN0ZVscgp0gPnk9NhZ+6DSRzfSObaWtqauD3+zVJz4ULFzQXgnT4cVPNazrvh1SCkuLI8S4kuVjN3ZvZ2VnY7XZs2bIlraT44Ycfxm9/+1ucPn16zuKGYRg0NjaisbExLedPhLfffhv/+q//itra2hU977WOrI9x+nFNEGPg6oRZWlq6KD/elWq+UxQFvb29uHLlyrKa7JIFIQQXL17EyMgI6uvrEzZgROr6ampq4PV64XQ6MTIyEuVwke7KFSEEQ0NDGBwcRF1dHYqKUru1nSowDAOr1Qqr1QqdToe+vj6UlZXB7/fj9ddfR05Ojna9Up1etVxcvnwZFy5cwO7du9MWOxuL+XTJVMdNSV9eXl7U9RobG8P58+ejfF5zCvUIeCQEQxIsYBBSrk7fDAcoIqLkFDIB4pWMZTksW+IYlFSmpsJIFx2LcRuYD2azGZs2bcKmTZs0FwLqx72QpCcZ0OCZbdu2ZUS64UKgc3xs5TUTgkXigcpTNm/enLZFh6Io+Ou//ms8+eSTOH36dMb4N3u9XnzsYx/DD3/4Q/zt3/7tag/nmkJWY5x+XBPEmBrnb9myBRUVFYv6G47j0mLXxnGc1u0uiiI6OjoQDAaxf/9+mM3mlDXZzYdYJ4dk7MIiSQx1uKARwpT00UpfqsZN7c0mJyfR0tKS8Sb0hBD09fVpix3q7BHpZzs4OAiDwaBVRmNJ30qPd3BwEJcuXUJDQ8OqWjdF6pJlWcbk5CQcDoems6Wkz+/3Y2BgYM4iqbDSjMudboRCCqwcHx3aEb68kXIKSSZzbIdUP2T1OyrLBBW7lu/MMjY2hu7u7pQvOmJdCGjwQ09PDwRBiCJ9yUhUHA4HOjs7F+UJngmgle2F5AjLdblIFajGfPPmzYt+JiULQgj+7u/+Dk888QRefvllbN26NS3nWQo++9nP4uDBg7j11luzxDjFyNq1pR/XBDHmeR7vete7kmpYSZeUghJu6gVqNpvT3mQXCerZzLLssp0cEjlcDA4OJu3YkAiiKOLs2bMQBAF79+7NeHuzyEXH3r17YTabtd9FNjtS0hfZXLUaIRmR9nzNzc0ZtejgOE4jMZG65HPnzkGSJOTl5SEUCiEUCmmkr2xHLi6fdQMMwJhZBEICGJYBUQho8dgbllOAqMSX5WJ9wFVHCpZjIUgytrYsz85qZGQEfX19qKurS6s1VqQf97Zt2xJKVBayGpyYmEBXVxd2796d8R7mwFV5SrKV7WRdLlIluXC73WhtbUV1dXVaSfE3vvEN/Nu//Rtefvll7Ny5My3nWQp+8YtfoK2tDW+//fZqD+WaBFkhu7asxvgagE6nm5N6NR/SKaUghODNN9/E+vXrsX37dq3JjuqJGYZJi+7N4/Ggvb09Lc4I8Uifw+HQHBsowUnG4SIQCKC9vR0Gg2FN2JtRmz2aDjffoiOS9BFCtOa9yJCMdOu4ZVlGV1cXvF4vWlpaMtqej2VZ5OXlYWJiAizLoq6uDj6fbw7pK91lvPo91zMI+QlYnoGsqA0pLAvIiiqn4CUGUDBnXuD0LOQgAadjwEkMds4TBb0QBgcHMTQ0hMbGRuTl5S3jCiSHRBIVl8ulWTNGSlTod5JWtmtra1FcvPT3vVKgpHj79u3Ldp9YCckFdf+pqqpKWyMjIQTf/va38b3vfQ8vvfQS9uzZk5bzLAUjIyP4/Oc/jxdffDHjixxrF1kxRbqR2UwkCVDyuVikixhPTEwAUK1z6MS4Ek12dIKndkvp3LaPrfTR7V3qcFFUVKSRvkSVUbfbDbvdjuLiYmzfvj3j7c0CgQDsdjtMJhNqa2uTqvgyDDOnGS02qZBKLlJFXqmMR1EUtLS0ZLyHqaIoOHfuHGZnZ6M8tmN1yQGzA5IsgyhACAoUQsCzLGQAYFTSqwQV+BkFVo4LE+Poc7E6BggCMiEw5+thsiZPgiLTGDOhEh8rUYklfUVFRWBZFuPj4/P2HGQSqAZ6uZrteEiH5IL6QG/atCltYSOEEPzzP/8zvvWtb+GFF15Y8Ya6hdDa2gqHwxE1LlmW8dprr+Gf/umfEAqFVt31aK3jWmi+m5qawgMPPIBnnnkGLMvigx/8IL7zne/MK/v8wQ9+gCeeeAJtbW3weDyYnp6eU4yorKzEpUuXon726KOP4uGHH05qfNcMMU4WqZZSEELQ29uL0dFRANC2KNNNigkhGBkZQX9/P3bu3Kk1Ka0UYrd3Yx0uqE1XZHwwfWBTe6hMalCLB1oFKikpwbZt25ZF4uMlFVIHgr6+PlgsFu16Wa3WJV2bYDAIu90Oo9GIhoaGjH8QybKMjo4OCIKAlpaWOVrZSNJXWyvjta/8Fh6XALcQhKzIkMNVYUIAQZbBMgy8ogSzTn3fc4gxzwAsIAoKNlSYkSzod93hcKQkjTHV4DhOI3WU9PX392NqagoMw2BoaAg+nw9FRUVRUqBMQjpJcSxSIbmgiYEVFRVp84EmhOCHP/wh/u7v/g7PP/889u7dm5bzLAe33HILOjs7o3527733Yvv27fjSl76U8XPRWsC1kHz3sY99DGNjY3jxxRchiiLuvfdefOpTn8ITTzyR8G/8fj8OHDiAAwcO4JFHHkn4ur/5m7/Bfffdp/37UooW1y0xTmXznSRJ6OjogN/vxw033IDXX39dI8PpbLKjjhd0hb6SW7nxEOtwQSujly9fRnd3N/Ly8qDT6eByudaUvvHs2bNaOl6qP0Oj0aht70Y6EFy6dAk6nS6qeW8xhJwGjRQUFCzKnWW1ERlJ3dTUtOAWNsdxKNqUA//sLKZYAbxGfgkEUYQoE5j0PGSRIMAoYJi5xBgMwOlYiIKEDdtzkxqvoig4f/48ZmZmMl6eAqjfyenpaU0Tr9frter7hQsXYDabo9L3MmGR6nQ6cfbs2Sg3kpVEspILr9eLM2fOoLy8HNXV1WkZEyEEP/3pT/HXf/3XePbZZ3HjjTem5TzLhdVqxe7du6N+ZrFYUFhYOOfnWVyf6O7uxm9/+1u8/fbbaG5uBgB873vfw+23345vfetbCSVTf/ZnfwYAeOWVV+Y9vtVqXfa8cc0Q42QndKoFppXcpcLv96OtrQ0GgwE33HADdDodOI6DKIpahTQdTXaiKKKzsxOhUChj450tFguqqqpQVVWFQCCAc+fOwel0AlC1mT6fL+UOF6kE9YBeqc79SAeC2O1wQohWtUokUaGeqasZjJIMQqEQ2traYDKZFhVJTVFUY8HlQQ/8AQm5Oj0YmVG1xQwBAwWiLAMKMKkEYGMM6p4gA/pfUCKcKmqSCPZQFAWdnZ3w+/1xK9uZBkIIBgYGMDIygqamJuTmqosA2lAriuKcdMfI9L3VqO5Rt4xMWTgvJLmwWq3w+XwoKytLKyl+4okn8KUvfQmnTp3CTTfdlJbzZLE2sNYrxm+++Sby8vI0UgwAt956K1iWxVtvvYU77rhjWcf/+te/jq997WuoqKjARz/6UTz44INJ9y9dM8Q4WdBJX5blJRPj6elptLW1oaysTNPJEkLAcRwcDgc2btyYlocn1bsajcY10bQmy7LWdHbjjTdCp9Np8gFqa0YfPplQtYq0N1stPWbsdjhNRkskUaFbz8lYFq4m6IIyLy8v6UbR8gYbXnxuCIpMEGJkGCQ2bMFGwLAMFAIYDRxcSgC8kYXBw4FBePHMMBAFGaKoKuj2vHtx5IvKPURRRHNz84r64S4FVANNLQXjafd0Oh3WrVuHdevWaemOtJJM0wrpQmwlGqkoKd6zZ8+K+Wwng1jJBbWQ0+v1uHLlCiYnJ+M2PC4Xx48fx4MPPojjx4/jve99b0qOuZJYqMKXRXJYaY2x2+2O+rnBYFgWrxkfH5/z/eZ5HgUFBRgfH1/ycQHgc5/7HBobG1FQUIA33ngDjzzyCMbGxvAP//APSR0nsxlVGkGJsSRJS3rIjY6O4vz589i2bZtGRKieePPmzbh8+TIGBweRn5+vkb5UkOSZmRm0t7dj3bp12Lp1a8ZvlUfax0U2gS3kcEEDDFb6/SmKgp6eHrhcroxoqgLmJqNRiQp1bDCZTAgEAqipqVkTpJhqtuk9nOxCqOnAejz+t3YQAgRlGQaw4HQsiBgR9qFnIPmBKVlEmVkHJhjWITMKFJFAkgBDMYeCsoUJH3UjoXKPTF+IEkJw4cIFTExMoLm5eVEa6Mh0R9og6nK5MDY2hp6eHlitVo30pSO4hlrIZSopjoXP50NnZyfKy8uxZcuWuA2PqXC5eOqpp/CZz3wGv/jFL3DgwIEUv4ssslgYseE0X/7yl/GVr3xlzusefvhhPPbYY/Meq7u7O5VDm4MvfOEL2v+vra2FXq/Hpz/9aTz66KNJ8a/MnuGTQLITNcMwS3KmoA+dy5cvo7GxUasmRjbZrV+/Hhs2bEAgEIDT6cT4+Dh6e3uRm5urkeSlNL3QJLC1QoC8Xi/sdjvy8vKwa9euuCQ3kcPF+fPnoxwuCgsL005IZFnG2bNnEQgEMtpTmUpUKisrcfHiRVy6dAlWqxV9fX0YHR3VFhapjg9OBaanp9He3r4szXbJBgvySgxwDPvBcGp6HcMygHj1NX5ZVJvsGGBc8mMDZwGjMODNDERFgQIR7CYZr7zyilYZLS4unjN5CoKgSaWSdSNZDRBCtLCc5ubmJc0zkQ2ilZWVUcE1Q0NDmva9uLg4KXvGRKCkeK1YyFGP+rKyMk2ylIzLhdlsXtR9/+yzz+K+++7Dv//7v+Pw4cMr8M6yWAtYaSnFyMiIJsMCkJBgPvTQQ7jnnnvmPWZ1dTXWrVsHh8MR9XOq5U91T8G+ffsgSRKGhoawbdu2Rf/dNUOMl4JkibEkSTh79iy8Xi9uuOEGWCwWLckuXryzyWTS9HzUcoo6NlD3gdLS0gU1tlQrODw8nNFxyZGYmppCR0cHysvLsXnz5kU9CBI5XFy8eDGhw0WqIAgC7HY7OI5DS0vLmtgqv3DhAsbHx9HS0oLc3FxIkhQVH0zlGMn6S6cLtJq2UHrZYlCx3YbJ8QAYhoFMyJyJTGLCtmwKIBIFM3oBRbIBQU4Gz7MYkwJ4+J4bsW/fOjidTly5cgU9PT1RIRkcx8FutyMnJwe7d+9e9eu3EAghOHfunNYYmKqFXayHeaQ9oyRJUdr3ZL834+PjOH/+/JoixWfOnEFpaSlqamrizmuxkgvqPENdLhJ5TEfihRdewL333osf/ehH+MAHPrASby2LLOIiNzc3ihgnAr2nF8L+/fsxMzOD1tZWNDU1AQBefvllKIqCffv2LXu8kaC71cnuQl3XxJjn+UU7UwQCAbS1tUGv12P//v1aoAglxMD8zhORllPUfcDhcGBoaEhLkSspKZlT5ZNlOaoLPpl459UCbVrbvn17UklVkViMwwUlycttPPT5fLDb7cjNzV0TBCjS87elpUWrCvI8H6UZnZ6e1pLkaPWdEpiVlgPQ3Y5UNVU13FiK1lfHwDMMApIEnS76MxOJjJAowxh2rfByEhgG4EUGTn0QjI7BLR+ogk7HzQnJcDqdGBgYACEEFosFGzduzLjKeywURYkKc0lXYyDHcSgqKkJRURG2b98Oj8ejuagk6/8bGTayFhb7gUAAra2tKC0tTUoCFOk8E5mIGSm5OH/+PN773veipKQEp0+fxsc//nE8/vjj+PCHP5zmd5XFWsNab77bsWMHDhw4gPvuuw+PP/44RFHE/fffjzvvvFNzpBgdHcUtt9yCn/3sZ5ot4fj4OMbHx9Hf3w8A6OzshNVqRUVFBQoKCvDmm2/irbfews033wyr1Yo333wTDz74IO666y7k5y++yRoAGJJMKkYGQ1EUiKK48Asj8Ic//AE1NTULriamp6dht9tRWlqqWWDFxjsvlUxFamydTmeUtMBisWhxwnV1dWumC354eBi1tbVpa1qL9P6dnp5GTk5O1DVLhsRQzfZacXKg1oCiKKKxsXFRlfPIrV2HwwG/3x9VfU/3fTU8PIz+/v6URiY7r/hx9/5T0HMcZEWBUebAiOGsJgJM8SEoCoHJxENSCEIhCWAAPc8iKMnYvqcQ//bCobjHpvZbNptNsxcEVifSezFQFEWTADU1Na1amEtkZXRqagpmsznK/zfyu0Ur9OmO0U4VAoEAzpw5g+LiYmzbti0l8wT9Xl65cgUf/ehH0d/fjx07duDy5cv44he/iEceeSTjF+lZrBzcbjdsNhs+2vQf0HPp9x8XZD+eaL0Ls7Ozi6oYJ4OpqSncf//9UQEf3/3ud7XC39DQEKqqqnD69Gm85z3vAQB85StfwVe/+tU5x/rxj3+Me+65B21tbfjMZz6Dnp4ehEIhVFVV4eMf/zi+8IUvJP2Mu66J8X/9139h06ZN81pxXblyBefOncPWrVtRUVExJ945lf7EkVW+iYkJiKIIo9GIrVu3zpsilwmg/q7T09NoaGhYscq2KIraw9jlciXlcOFwONDV1bVmnBxCoRDsdjt0Oh3q6uqWXPX1+XzaNaOTHpVcpDKsghCCixcv4vLly2hoaIDNZkvZsQHgoy1PYtoZRDAkw6rXwUJ4iIICcIBLCQIA9EYOwWB4V4gFJEYBIzP4nw/V494/r5tzTGp5Rz1p6fedOjY4nU4Eg8F5dckriUi3jMbGxoyRAEmSpFVG6cKCkmRBENDX17emSHFraysKCwuxffv2tC2en3zySTz22GNQFAX9/f0oLy/H4cOHcfjwYbzzne/MmM82i9UBJcZ/3PTvK0aM/1/rx9NCjDMd17WUYj6NMSEEfX19GB4eRn19vaadIYRo8otUh3ZQjS2gbjOWlZVBp9PhwoULOHfuXFTUciZ1xtP4YUmSsHfv3hUlCjqdLq7DBXURoIQv1uFiZGQEfX192L1795rogqf2ZjabLWEj42JhsVhgsVhQWVmJUCikyXoGBgY0Wc9yAx8IIejp6YHT6UxoF7ZcbN6VjzdfHAXDACLUMA8AUDiieQ1FrvpZHQOOsCAKwaGPbplzPNoYSBMZKSIjvamsJ5EueSU9uWVZRnt7O2RZzihSDKiyntLSUpSWlmoLC5fLhZ6eHgiCgNzcXPj9flgsloxtcgXUKnhraysKCgrSSorffvttfPazn8Xf/M3f4IEHHoDf78dLL72EZ555Bn/8x3+Mm266Cb/61a/Scu5IfP/738f3v/99DA0NAQB27dqFv/7rv8Ztt92W9nNnsTisdSnFWsA1UzEmhEAQhKT+xm63Iz8/f06uvSRJ6OzshMfjQWNjI3JycuZtskslRkZGcOHChahQCUIIPB4PHA4HHA4HAoEACgoKUFpaiqKiolXbOgWueirTkIZMIezUl5Ves0iN7ezsLMbGxlBfX7/qaYGLgdvtht1uX7K92WIRWeVzOp1gWTbhwmI+UL0r/f6kK3zmyX/rwT/91RnwehaiqKCQMQAyEDIocIfnAl7PQhDUxS9jVK9bSZEZv377g1HHoj7Q27ZtS0oXH6lLnpqa0nYs4skHUglJkrTEwPr6+oz53s2Hy5cv48KFC9i+fbvmdDEzM4OcnBxtYbHUGPR0IBgM4syZM1qKZLrGZbfbcejQIfzFX/wFHnrooTnnoTuJK1Fdf+aZZ8BxHGpqarS0vW9+85uw2+3YtWtX2s+fRWLQivGHm34GPb8CFWPJj1+13n1dVoyva2J89uxZWCwWbN68WftZMBjUOvobGhqg1+vnNNmlI8mOugyMjY2hrq5uXrE4bURzOBzweDyaV3JxcfGKVl9mZ2fR3t6O0tLSlOnu0gGq5XM4HBgZGYEsy8jPz0dZWVlaHC5SicnJSXR0dKC6unrOAi6diFxYOJ1OiKK4KPcBurUvCMKiNdBLxeS4H3/c8hQ4nkEoKMOm08NIOEwzIQTFMBnmGciS+r2VeQU6nsOBY9V4+B/foR2H2oUtN4I4srGKJjxG2g2mSgoliiLa2to0SU0mS6wo6A5NQ0ND1NwmCEKU5ILn+SgruNV6b6FQCGfOnNECaNI1t3V2duL222/HQw89hEceeSQj59CCggJ885vfxCc/+cnVHsp1DUqMP9T0M+hWgBiLkh+/vk6JceaXGdKIWCnFzMwM7HY7iouLtTSuVDXZzQdaoab+uQt5j8ZGLTudTkxMTKTEK3mxWEv6XIZhYDab4Xa7YTabsW3bNszMzGgBGTabTbtmmRStPT4+jnPnzmHHjh0J8+PThcjAh23btmnuA9SXNd5iTBRFLaSlubk57VXMwnVmFJQYMe1S9cQiq8BEeIRo0AcDyHJ4McsxkEQCHQvc9pGrMorR0VH09vamxC4ssnE2Upfc19eHzs7OlOiSqa+y0WhEbW3tmmjOGhkZQX9/PxobG+fs0Oj1ei0GPdLHvLu7G6IoRoVkrNQClpJim82WVlLc3d2Nw4cP44EHHshIUizLMn7961/D5/Nh//79qz2cLMIg4f+sxHmuV1zXFeOenh4oioKdO3dibGwMXV1dqKmpwaZNm7SmG0VRtNjodJdtfHoAAFsiSURBVExcgUBAixWtra1dlk5QEATNeWByclLzSi4pKUlZWhUhBMPDw7h48eKa0ecGg0EtQjtW7hHP4YLKB9KR8LVYXLp0CRcvXsxIK6tAIKBVkmdmZmC1WpGfnw+HwwGLxbKiQRj/+09O460Xr4CAQMczsHEGOIIBAADHMxDD1WLWwCAQklBcaMIznR8BwzCaW0Z9fT0KCgrSOk66y+N0OuF2u5ekSw6FQmhtbV0zvsoAtLmioaEhKdkSIQRer1ervns8nhXRctNrnJubi127dqXt+3/hwgXcdtttuOeee/D3f//3GUWKOzs7sX//fgSDQeTk5OCJJ57A7bffvtrDuu5BK8YfbPrJilWMT7Tec11WjK8ZYgyok1oy6O/vh9/vh8lkwqVLl1BbW6sRvXQ5T0SCShGKi4uxffv2lD7oIr2Sk3VrSARCCHp7ezExMYH6+vqUuwykAx6PB3a7XfNdne8ap+OaJQtCCPr7+zE6OpoWJ4dUQxAEjI6Oar6/kc176dTYUpz4t278y1+1qjrjkAKLiYdfliGLCnR6FqGwvhgGQBBkvOs95fjGz2/B4OAghoeHV+UaRzY8LlaXTJvAaBVzLZDiS5cuYWBgAI2Njcu+xsFgUAuvoddsoZCMZCEIAs6cOQOr1Yrdu3en7d4dGBjAgQMH8OEPfxjf+ta3Mu6zFAQBw8PDmJ2dxfHjx/Fv//ZvePXVV7Fz587VHtp1DUqM72j68YoR4ydb780S47UOQRCQzNu5ePEiRkZGwDAMGhsbYbVaAUDTE6eTFE9MTODcuXPYvHmzZgOXLsznlbzYh0qk3KOhoSGjJAeJQNP3Nm3ahKqqqqSucaxedD6Hi1Qh0vKusbExpdZp6YLH40FbWxvKyspQXV2NqampKI1t5DVLRxXZNeHHnY0nodNzCIZksAaABQsxKENn5BAKW7WJrAKOZfDIYzeipplgbGwMTU1Nqx6YsxhdMvXQLSwsTGsTWCoxNDSEwcHBlJDiWEReM5fLBUVRNP17YWHhknbdBEFAa2srLBZLWqvxly5dwoEDB3D48GF897vfzThSHA+33norNm/ejH/9139d7aFc16DE+FjTj1aMGD/V+onrkhhftxrjYDCIkZERSJKEm266SWuyo5ViIPV2bIBaEaQPjZWSIkQS4Uiv5M7OThBCFiQv1D+X5/k1EZcMXE1aW6o+N/aa0Ua07u5uSJKEwsLClFrn0aa1UCi04pZ3SwW1N6usrERlZSUYhom6ZrOzs3A4HOjt7UUoFNLIS3FxccruoaJSM2zFRgRCEqblIBSJoJiNXrQxPANFIjCZeWzcEcLExHRUYuBqYiFdss1mg8fjQUlJyZohxYODgxgaGkJTU1NaHqix12x2dlZLK+zq6kJ+fr52ny1mAb9SpHh0dBS33347Dhw4sGZIMaAu2JPdjc0ifVCguVGm/TzXK65LYjw7O4u2tjaYzWYQQjRSnO4mO1oRnJqaQktLi1ahXklQr2RqVh9JXgRBmOOV7PV6NVu7tbCFSwjRtnDr6upSos+N14hGfX/PnTsXlSK3lAYhQRBgt9vBcRyam5vXxMKDRtpu3boVGzdunPN7lmU179+tW7dqetHh4WGcP38+pZHeO28qwpMnL4BA/fyDvAwDz4Eo6neZ4QBIQPF6Hl6/GqOdid65kX7JW7du1a4xz/MYGxuDz+dbFb/kZDA4OIhLly6ljRTHgmEY5OXlIS8vDzU1NfD7/Zrk4sKFC7BYLNo1y83NnXPNqMOH2WxOKykeHx/H7bffjve85z34l3/5l4ydRx955BHcdtttqKiogMfjwRNPPIFXXnkFL7zwwmoPLYswsj7G6cc1JaUQRVGzVEuE8fFxdHZ2YsuWLTCZTBgYGMD+/fvT3mQnCAI6OjogyzLq6+sz7sFMm12oDZzf70dOTg68Xi/Ky8tRU1OTkQ/iSERqoBsaGlbkwRzbVJWsw0UgEEBbWxtycnKwZ8+ejH1gRuLKlSvo7u7G7t27UVpamvTfUycVp9OZkobHSVcA79v7BBRCIAgyGDCoyMlF0C+pVm0GQJIl/I9PrcP9X7o1o+35KDweD1pbW7UEPur7G6lLptfMZrNlxH1D4+CbmppWZdEfC1EUoyQX1Je7uLgYBQUFUBQFra2taXf4cDgcuO2229DY2Iif/exnGW2v98lPfhK/+93vMDY2BpvNhtraWnzpS1/C+973vtUe2nUP+nw51PR/V0xK8WzrJ69LKcV1Q4wJIRgYGNAqiSUlJXC5XOju7taIcbpIsc/ng91u15o6MnlipKDXymg0IhgMahW+kpKSjCP1gCpF6OzshN/vXzUNdKzDxUKuIFSfm+k+0JGgbhmpivONbHicnJyETqeLakRbLFn56y+8imdP9Wvxz8W5ZnA+BizHwB0KYs87rHj8iTvWRDWe7mhVVlaiqqpqzu8T6ZKpxnalwz7o3DoyMpIxpDgWVA5Fr1koFALLsjAajaivr0/bfOFyuXDw4EHs2LEDTzzxxJoIYskiM0GJ8cHmlSPGz53JEuM1j0TEWJZldHV1YXp6OmrinpqaQmtrK2pqalBSUpIWXSdtANu4cSO2bNmS8eSHEKI1JdbV1aGgoADBYFCrJM/MzGheyXRLd7UhCIIWAV1fX58R5CeRwwUlfNPT0+jo6IjS52Yy6H1x+fLltDk5yLIc1bxHCFl0QIbPI+B9N/w/zMyonsYGAweTzIPICvLX6/Dk7z8CgyHzK8VUt02bchcC1djSXYtgMJgSv+TFgt4Xo6OjGdHMuBhQ9wlCCHiej7KCKyoqSplN4/T0NA4dOoRNmzbhV7/61ZrYqcgic0GJ8W3N/7ZixPj5M/8zS4zXOuIR41AohLa2NjAMg4aGBhgMBq3JTpIkDA8Pz0mQSxVJHh0dRU9PD7Zv355UzOxqQVEUnDt3DjMzM2hoaIj7kFsJr+Rk4Pf7YbfbNW/XTKzGx1b4qJ5948aN2Lp1a0Zsg88HQgh6enrgdDq1iPSVOGcs4aNhD4m03F//qzfwHz/pAscxECQZDAHW5Znwy5c/iOLSzCdsNOUwkW57MfD5fNr3c6l+yYsFtRa8cuXKmiHFkiShra0NPM+jvr4eLMtq9nlOpxOTk5PQ6/VR6XtL+X7Ozs7i8OHDKC0txcmTJ9dEM20WmQ1KjA80/3DFiPFvz9yXJcZrHZIkRSXZud1utLW1oaCgALt27QLHcXOa7Gi8Mw0tcDgcmJ2dhc1mQ2lp6ZKkA4QQ9PX1YXR0VKu6ZjqoBlpRFNTX1y9qIpckKaoqqtfrV9T3l/pAr1u3Dlu3bs34qiugBh709fWhoKAAXq9Xi1pOpcNFKqEoCrq6uuDxeNDY2LgqEhVCSBTh83g8mpa7uLhYc5cIBES8/4b/B7cnhNx8Frvr8vG5P38XduxcXqLdSsDlcuHs2bPYvn17ylIOYwlfKnXJkaS4ubk5I3aOFkIkKU4UpR27a6EoSlT63mJ2ozweD44ePYrc3Fw8/fTTGSk9y2LtgRLj9zX/YMWI8YtnPpUlxmsdkcR4YmICZ8+eRXV1Naqrq7Uku8WEdoRCIY0kT09Pw2q1aiR5IYsnqnX1+Xyor69fEw+MVFRd6QOFVvgirbuWWnWZD7Rjf/Pmzdi0aVNKj50OREpUaAoYIURzuKANj/QhXFJSsupbr5Ik4ezZsxAEAY2Njas+Hgqq5aZhD9R5oKSkBEMXZ+GYHMCGDSXYvn37mlgsUevEXbt2Yd26dWk5Ryp1yXThPz4+jqampjUxx0mSpMWV19fXL2qOI4TA7XZr18zn8yEvL0+rJsd7Fvh8Pnzwgx8Ex3F49tln18S1yWJtgBLjW1eQGL+UJcZrH5IkQZIkDA4O4uLFi9izZ4/2oFlqkl086QAlybFbh8FgEO3t7VpFIhO0rgthZmYG7e3tKCsrS1nVNdIr2eFwQFEUjbgspBVdDC5fvowLFy5g165dS3JFWGkoioKenh64XK55pQix2+DJOlykElS3TYlEplWyKajzAN21kGUZVqsVW7ZsSVsQSyoxPj6Oc+fOYc+ePSsWr74cXTIhBBcuXMDExASam5szwgt6IciyjLa2tqRIcTwEAoGo9D2z2YzZ2VnodDq85z3vgSiK+B//439AkiT85je/ycgmxCzWLugz4ZbmH4Dn0/88kKQAfpclxmsfVA4wNTWFxsZG7cNMVZJdbEOVyWSKMprv6OjQ0qky/YEMXE3fq6mpQXl5eVrOEfkQdjgccb2SkzkWrbrW19cjPz8/LWNOJSLdMhobGxe9rUp3LSKroiul5Q4Gg2hra9MCDzJRtx2LmZkZtLW1oaSkBBzHaQuyyOa9TCP3V65cQU9PD2pra1Pit71ULFaXTO0QnU4nmpqa1gwpttvtAICGhoaU3cuSJGFychI//OEP8U//9E9gWRYbN26EIAh45ZVXUiaHySILCkqMb255fMWI8em3/zRLjNc6ent7MTY2hoaGBhiNxjlJdlRPnArIsgyXy4WJiQlNi5aXl4ctW7YgLy8vo7dwI0Mw9uzZg+LildFgxnol+3w+LUFuoXCMyLjkRI2BmQZRFNHe3g4Ay3LLiLU0o81BNNI7lfeaz+fTdPlrZYE3NTWF9vZ2bNmyRXNyoNvgdHERKVNZCbeGhUB3Perr6zOqB4HukMXqkouLizE+Po7JyUk0NzeviUh4WZbR3t4ORVHQ2NiYtgWe1+vFvffei97eXgDqZ3vLLbfgyJEjOHTo0JpovM4i80GJ8U0t318xYvza2/8rS4zXOgRBgCRJWpMdrRIDqSXFFJRgXrx4ERUVFQiFQnA6nVGRpfn5+RlFkum2vtPpXLEQjESIrVQl8kqWJAkdHR0QRTEjw1HigVZdzWYz9uzZk7KHcjwtNyUuhYWFyyKytFl1w4YNa8JaELiqNV+oaS1eVXS1LAeHh4dx8eJFTWueqYjUJY+Pj0NRFJSUlGDdunUZWYGPRCQpbmhoSNtYRVHE3XffjUuXLuF3v/sdCgsL0dvbi6effhrPPPMM3njjDbS1taG2tjYt54/Eo48+ipMnT6Knpwcmkwk33ngjHnvsMWzbti3t584i/aDE+J0rSIxfzxLjtQ9FUSCKYpSemGGYtMU7U4JZX1+v+bpSfS2tJBNCNLK32ppH2kwVCoW0qnqmIDYcw2q1ahXR3t5e6PV61NbWZvTDmMLr9aKtrQ1FRUXYvn172j7zyNACh8OxLIcL6rddVVWFysrKtIw31RgbG8P58+eTTuCjC1gqUzGZTFoFPl5scCoxODiIoaEhNDY2psULOtUghKC7uxuTk5PYunWrVoVfab/kZCDLMjo6OiBJEhobG9M2Z0iShE9+8pPo7u7Gyy+/HFcj7nK5VmzeP3DgAO688060tLRAkiT87//9v9HV1YXz589nmwCvAVBivK/p/4Dj0k+MZTmAt1ofyhLjtQ5FUSAIwpKa7JKBKIo4e/bsghVMQkhUE5osyyltQksGwWAQdrtdI5iZ3BhIt3PHxsYwPT0NnuexceNGrFu3blW8kpPBzMwM7HY7KioqNDeUlUCkwwXtoC8oKNCqovMRF4fDga6uLmzbtm3NbPtSKcJy9blUK0qJMsuy2jVLJaFZC+lwsSCEaPKl5ubmqHmOVuCdTidmZ2e1hWw6/JKTgaIoaG9vTzsplmUZf/qnf4q2tjacPn06bW4iy4HT6URJSQleffVV3HTTTas9nCyWiWAwiKqqKoyPj6/YOdetW4fBwcGMKqKtBK4pYvz222+jsLAQRUVF4DguLZMztTajW+SLnXgTNaGVlpamfVvS4/HAbrenvYKZStAEsA0bNiA3NzfKK7m4uBilpaUr4pWcDCjBTGcz42IRz+GCLsoim6ZoA9ju3btXzBVhuRgaGsLg4GDKGzDpbg+9bpIkRTXvLXUxSe3NxsbG1kwQBiEE586dw+zsLJqamuZ9MM6nS04m1nu5UBQFHR0dmr1guhb/sizjgQcewB/+8Ae88sorGbuY7O/vR01NDTo7O7F79+7VHk4WKUAwGIQgCCt2Pr1ef92RYuAaI8b/83/+T/zkJz/B/v37cfToURw9ehTr169PGXmiMb7LtTaL9a8NBAIoLCxEaWnpok3kFwsaHEC3yDOJSCYCdcuITQBbaa/kZDA6Oore3t6MtJCj0gGHwxHlcCFJEkZHRzOuASwRImOpI11n0nWueBV4SvgW+7CIdHJobGxcE1vakaS4ubk5KZlEKv2Sk8FKkWJFUfDggw/id7/7HU6fPp2xHuqKouDIkSOYmZnB66+/vtrDySKLNYVrihgTQjAyMoKTJ0/i5MmTeOONN9Dc3IyjR4/i2LFjqKioWDIxvHLlCrq7u7Ft27Ylx7UmQqRTg9frRUFBAUpLSxd0algIdLt5586dGbnVFw+0mXEhtwyqr11tmQohBIODg7h06dKaSDmkDheDg4Pw+XwwGAyaL3cmu6lE+ueuVCx1JPx+v7a4WKx0gOpzp6am0NTUtCacHGgsvMfjQVNT07K0w3SXjF63dOmSFUXB2bNnEQwG0dTUlFZS/PDDD+Ppp5/GK6+8gurq6rScJxX4X//rf+H555/H66+/nvLnVRZZXOu4pohxJAghGBsbw5NPPokTJ07g97//PWpra3Hs2DEcPXoUmzdvXhQJiPTOra2tRWFhYVrH7ff7NbLndruRn5+vVUUX+yChca00knot+P1S4jM+Ph7VzLjYv6VNQRMTEwiFQlFNaOl6UNJqICVra0U3Spup6uvrEQwGtaooAG1xUVBQkDH+xZFa10wgmIIgRNnnGY3GqKhlhmE0e8HFSBEyBTT+2+v1LpsUx0M6dMmKoqCzsxOBQCDtpPiv/uqv8Ktf/QqvvPIKampq0nKeVOD+++/HqVOn8Nprr6Gqqmq1h5NFFmsO1ywxjgQhBC6XSyPJp0+fxvbt2zWSnCg6VpZldHV1wePxoL6+fsWrVJS0TExMYHZ2dlFJaLIs49y5c3C73WhoaFgTW7f0Onu9XjQ0NCwrOCCeVzJtQktlzHLkmBsbG1edrC0GlET4fL45YSOKokRp4JfjcJHqMUde50wjmFQ6QDXwDMOgqKgIfr8fgiAkLUVYLdB7w+/3o6mpKe3x36nQJdN7w+fzpXXMhBB87Wtfw09+8hOcPn0aO3bsSMt5lgtCCB544AE8+eSTGU/es8gik3FdEONIUKeIU6dO4cSJE3jppZdQXV2NI0eO4I477sCuXbvAsiwuXbqEP/3TP8WDDz6I97znPWl/UCwEqhOdmJjA9PQ0cnJytC1wSn5pjC+gBkqs9pgXAxqCQQhJy5hjK/A2m02TqSyVzIqiiI6ODsiyjIaGhjVxnakXtCRJC455OQ4XqQS13aK60Uy/zrR5r7u7G8FgUCPJ6d65WC5WmhTHYim65JUkxY899hi+//3v4+WXX8aePXvScp5U4DOf+QyeeOIJnDp1Ksq72GazrYmFexZZZAquO2Ici9nZWTzzzDM4efIkfvvb32L9+vV4z3veg1OnTqGlpQX//u//nnGTiiiKGkmenJyExWJBXl4enE4nbDbbmonxDQQCUQ4f6R5zIq/kyMXFQgiFQmhra4PBYEBdXd2auM6CIMBut4PnedTV1SVd/Y1dXNBwjFiHi1RCkiQtync5qYEriUj/3Pr6+qhYb6/Xi/z8fK0qmilzSqQ+NxMWH5G6ZJpYSBdlRUVFWqIp3clrbm5OKyn+9re/jf/zf/4Pfve736GhoSEt50kVEklRfvzjH+Oee+5Z2cFkkcUaxnVPjCPh8Xjwta99Df/4j/+I6upqBINBrXGvpaUlI0mQJEkYGhrC0NAQAMBkMmmkJd1hBcuB2+2G3W5HaWkptm3btuLjjNWJRl43q9Uadzw0Ljk/Px87d+5cE7Z3NIHPYrFgz549yx5zIoeL4uLihNctWVAir9Pp1sziQ5IkbecjXtJaIBDQyB7d8aG65NXy5qZODqFQKK363OUgni5ZURTIsjzHWzmVIITgn//5n/Hoo4/ihRdewN69e9NyniyyyCLzkCXGYRBC8J3vfAd/+Zd/iR/96Ec4dOgQXnjhBZw4cQLPPvsscnJycOTIERw7dgz79+/PmIc1Tf/atm0bysrKNLLncrnA8zxKSkoyzvOXWshVV1dj06ZNqz4uGvIwMTEBl8sFnU6nkWTq1DA7Owu73b6m4pIpkS8sLMSOHTtSPmbqcOF0OhNet2SRaiK/EhBFEXa7HRzHob6+fsG5ge740Ou2Gr6/sizj7Nmzabc3SyVCoRA6Ojrg9XpBCEnbdSOE4Ic//CG+/OUv4/nnn8eNN96YkuNmkUUWawNZYoyrTQvHjx/HqVOnsG/fvqjfB4NBvPTSSzhx4gSefvpp6HQ6HD58GMeOHcM73/nOVXmoRNqE7dmzZ076l6IoWlNQpOdvaWnpiprux4La3u3cuRNlZWWrMob5EO+6Wa1WTE9PY8uWLRnrWxoLt9uNtra2FSPysR7TQPIOF4FAAK2trcjPz8eOHTvWDClua2vTEiWTXTAnum5UX5uOBXik5KOhoWFNkGLqTDIzM6NVt+l1c7lcIISkxC+ZEIKf/vSnePjhh/Hss89mE+OyyOI6RJYYh/Gzn/0M7373uxckPqIo4vTp0xqJlmUZhw8fxtGjR1esSU9RFM1yq6GhYUGbMNoURHWihBAtPS6VsbfzYa35/QLqdbt48SKGhoa0B+1qRXong6mpKXR0dGihLisNQkiUxzR1uCguLk7YhObz+dDa2oqSkpJVkdYsBYIgoLW1VdPIL/d7FJuOGQqFUFhYqOlrUzG3rFVSTP2g48knFqNLXux5fv7zn+Ohhx7C008/jZtvvjkdbyeLLLLIcGSJ8TIgSRJ+//vf49e//jVOnToFv9+P22+/HUePHsWtt96aFv2bKIo4e/YsRFFEfX190ueIJS2SJKWd7CmKgp6eHrhcrkUR+UwBjR6ura1FQUGB5pVMwwoy0XGAxlJv27YtI6Jq57PPow4XtLq9cePGRfuLrzao5CMnJwe7d+9O+eKSEBIV6+3xeJCXl6dVk5fS9CjLMtrb2yHLMhobG1fNgi8ZLESK4yGeLpnOcfOFsfz617/G/fffjxMnTuCP/uiP0vF2ssgiizWALDFOEWRZxhtvvIETJ07gySefxPT0NA4cOIBjx47hfe97X0r8hKmLg8lkwp49e5b9YIsNxhAEIeXetZIkobOzE8FgEA0NDRnnQxsPkWEjDQ0Nc6KHKWmJTStcaTuzWNBY6t27d6OkpGRVxrAQqMMFJS0WiwV+vx/l5eXYunXrag9vUYiUfOzcuXNFiDx1VHE6nVrTIyV7i2l6lGUZdrs9YXNgJoIQgp6eHkxOTi452CWRX7LVao2qwj/55JP41Kc+hV/+8pc4dOhQqt9KFllksYaQJcZpgKIo+O///m+NJI+NjeH9738/jh49ittuu21JFVPq4kC3mtNRoaKVvYmJCQQCgaho6qVUREOhUJRNWKZUVecDjcSdnZ1FY2Pjoipz8bySFwpiSTVodXutyFQAYHx8HF1dXTCbzfD7/UmTvdWA3+9Ha2srioqKEgYDpRvxmh7pdYvXP0AdMwDV+m6tkOLe3l44nU40Nzen5HsUqef+j//4D/zoRz/CO9/5TuzcuRPf//738fOf/xx33HFHCkafRRZZrGVkiXGaoSgK2tvbcfz4cZw8eRKXLl3CrbfeiiNHjuDgwYOLcotwOp3o7OxcURcHWhGdmJiIqoguNj3O5/PBbrfDZrNpoSmZDhqCIYoiGhoallT5pd611Cs5JydHu27pSE6MjP9ubGycU93OVFDJx44dO1BWVgZJkqIcVajDRXFxMfLz8zOCJFMddGlpKbZu3ZoRY1IUJap5T1GUqOY9ALDb7WAYBg0NDRmri48E3bFxOBwpI8WxkGUZr7zyCn7yk5/g5Zdfhtfrxfve9z4cOXIER44cwfr161N+ziyyyGJtIEuMVxDUmP748eN48skn0dvbi5tvvhlHjx7FoUOHUFBQMOdh29XVBYfDgV27dqG0tHRVxh0IBDAxMaFVRPPy8jSyF08aMTMzg/b29jVlbSYIAtra2jTv3FRU1agtVzJeycmA6i8nJyfR2Ni4JuK/AdWZpKenJ6Hkg1b26LUDkne4SDU8Ho/m8pGpOuhIaZTT6UQgEADLstDr9WsmtpyS4omJCTQ3N6ctQAYAXn75Zdx55514/PHHsXfvXjzzzDM4deoU3njjDTQ2NuJb3/rWirlSvPbaa/jmN7+J1tZWjI2N4cknn8SxY8dW5NxZZJFFNLLEeJVAtwpPnDiBkydP4uzZs3jXu96FY8eO4fDhwygoKMBnPvMZtLW14aWXXkJ+fv5qDxmAqnWkFdGZmRktBa20tBQmk0mrBNbU1KC8vHy1h7so+P1+tLW1pbW6Tb2SYz2ml+r5S2N8fT4fGhsb14R2GwBGRkbQ19eHuro6raI5H+I5XEQ6NayEPIc2B1ZUVKC6ujrt50sFRFHEmTNnoCgKeJ6Hx+OBzWbTqsmZuIgihKCvrw/j4+NpJ8WvvfYaPvShD+E73/kO7r333qjvn9PpxG9+8xvceOONqKmpSdsYIvH888/jD3/4A5qamvCBD3wgS4yzyGIVkSXGGQBCCAYGBrRK8ttvv43KykoEg0H83//7f/Gud70rIytUgiBohGVqagp6vR6CIGDr1q2oqKhY7eEtClS7vW7duhXbHo/c/qYVUUqSF2OfRyUf1HJrtWN8F4vBwUEMDQ2hoaEBeXl5Sf99IocLWk1OR9PjzMwM7Hb7qlnfLQU0cIRq+zmO0xILaROa2WzWpCqZkJBJJUFXrlxBc3NzWon7m2++iTvuuAPf+MY38OlPf3rV33ssGIbJEuMsslhFZIlxhmF8fBwHDhyA1+vFxo0b8frrr6OlpQVHjx7F0aNHUVFRkXETOa1+X7lyBVarFW63W5MNlJaWrlrk7UKYnJzE2bNnUVVVtWoJfIqiRFVEZVmOcgaJlQ3QuGRKetZKIxUlPY2NjSmz6/P7/ZrcYnZ2Vtu9SFVFdHp6Gna7fU3tfiwmcCR294LjOG1xkZ+fv+L9AIQQXLx4EaOjo2knxW+//TaOHj2Kr33ta7j//vszcl7KEuMsslhdZIlxBuH8+fM4ePAgbrzxRvzoRz+CXq/HlStX8OSTT+LEiRN4/fXXUVdXp5HkTNA6Rro4NDQ0wGKxzGmk0uv1KC0tRUlJSUZUpwB1AXLu3Dns2LEjYxptIjWi1CuZygaKi4shy/Kai0umlltOpxNNTU1pIz2JKqJL1XNPTk6io6MjY/ygFwNRFNHa2gqDwYC6urpF3R80/IcuMGRZjpKqrMTC6+LFi7h8+TKamprS0qBKYbfbcejQIfzlX/4lvvCFL2TEPBQPWWKcRRariywxzhBMTU2hpqYGn/3sZ/HVr351zqRNCIHT6dRI8iuvvIIdO3bg6NGjOHbs2KqkhYmiiI6ODsiynHBLX5blqIjl5WprU4Hh4WH09/ejtrZ2TpR2piCeVzLDMMjNzcWePXvWhKZYUZSoGN+Vav6K53Axn51ZLKgLDHXMWAugzaNGoxG1tbVLWjQRQuDxeLTvaqRUpbi4OC333MWLFzEyMoLm5ua0kuLOzk7cfvvt+PM//3M8/PDDGUuKgSwxziKL1UaWGGcQzp07h127di34OkIIpqamcOrUKZw8eRIvvfQSqqurcfToUdxxxx3YuXNn2quJNPnLZDIl3LKNRay2lmEYjSSvxBZupLVZQ0MDbDZbWs+XKszOzqKtrQ25ublQFAWzs7Or4pWcDGhzoN/vR2Nj46qFnsTamdE49EQOFxMTE+jq6sLu3btXzQUmWaQ6mpoinlQlsnlvueRyYGAAw8PDaSfF58+fx2233YbPfvaz+PKXv5zRpBjIEuMsslhtZInxNYCZmRk888wzOHnyJF544QVs2LABx44dw7Fjxxa9pZoMPB4P7Ha7FnKwlONHamsnJiaiCEthYWHKx6woihYtu5aszaamptDR0aF5WANXZQO06THSKzkVhGW5oNHDkiShsbExY4JdIh0unE4nBEGIkg24XC50d3djz549KC4uXu3hLgqUFFsslrREU0eeJ1KqYjQaNYnPYrzYYzE4OIhLly6hqakprRHxvb29uO222/CJT3wCf/d3f7fq343FIEuMs8hidZElxtcYPB4PnnvuOZw8eRLPP/88ioqKcOTIERw7dgwtLS3LfnDShrXKykpUVlam5EFDCMHs7KzmlSyKokaS4zWgJQtZlnH27Nk1FUsNqCEYdEs/kQ461iuZEpbV0nNTRwSWZTM6ZS3W4cLr9QIAysvLUVlZuSbukVAohNbWVuTk5KSVFMciUh7lcrnAMIxWSV6Mz/TQ0BCGhobSToovXryIAwcO4M4778Q3v/nNjNbke71e9Pf3AwAaGhrwD//wD7j55ptRUFCwZhx+ssjiWkGWGF/D8Pv9+O1vf4sTJ07gueeeg9VqxZEjR3D06FHs378/acI5NjaG8+fPp7VhjeocKUkOBoOaS0NxcXHSREsQBLS3t4Nl2TUTSw0Ao6Oj6O3tTRiCEQ+yLEdpa3mej3IbSDdJpjpXg8GwaHlNJmBkZAQXLlzA+vXr4fV60+JwkWpQUmy1Wlc1WZLu/NDF2UI+05cuXcLAwACamprSmtI4NDSE2267DYcPH8Z3v/vdjCbFAPDKK6/g5ptvnvPzP/mTP8FPfvKTlR9QFllcx8gS4+sEwWAQL774Ik6cOIGnn34aBoMBhw4dwh133IF3vOMd8xJGQohW5amtrV1UMEMqQBvQKEn2+XxRLg0L+fcGAgG0tbVpFbW1QtSGhoYwODiIuro6FBQULOkYy/VKThbBYFAjaitZvVwuKFGL9Fam/typcrhINei1poE0qz0eisgqvNPphNfrRX5+vrY4m5iYWBFSPDo6ive///14//vfj+9///tr5l7MIossMgNZYnwdQhAEnD59GsePH8epU6dACMHBgwdxxx134N3vfncU4ZQkCadOnUJRUVFKPWiXgkiXBo/Hg/z8fI2wxDZ3UR10cXExtm/fnjHkYT5ENgc2NjamjDzES4+L1HMvV+7g9/vR2tqKwsJC7NixY01ca+Bq89d813q5DhepRqaS4ngIBAJaJXl6ehoAsGHDBpSXl6fN23xsbAwHDhzAu971Lvzwhz9cM4vhLLLIInOQJcbXOSRJwmuvvYbjx4/jqaeeQiAQwMGDBzVN8l133YXx8XH84Q9/SGvneLIIBAIa0aMuDdQrORAIoL29HZs2bUJVVVVGkweKlWoOjLTkcjgcCAQCUVX4ZKUmXq8Xra2tK5ocuFzQQAnqnbvYxV4ih4vi4mIUFhamnYQFg0GcOXMG+fn52Llz55q41sDVGPBNmzbB6/XC5XLBYDBELTBS8V4mJiZw++23o6mpCT/96U+zpDiLLLJYErLEOAsNsizjD3/4A06cOIHjx4/D5/OhpKQEX/ziF3HHHXfAbDav9hDjIhQKRUVTA6psoKamJmPHHAlZltHV1QWfz4fGxsYVbfzyer1wOp2YmJjQtr4TVeFjMTs7C7vdjvLyclRXV68JokYIwYULFzAxMbGswBHaMErvu1AoFJVYmGoteyAQQGtrKwoKCtZUVf7y5cvo6+uLkqrIshy1wACw7AWGy+XC7bffjp07d+KJJ57I2KbPLLLIIvORJcZZzAHt5t60aRN2796NZ555BhMTE3j/+9+Po0eP4sCBA6sqqUiEyCaqYDCIyclJWCwWrZKcSRVvCkmStJCU+vr6BXXT6URsFZ42oJWUlMxZYMSzkct00BQ+l8uFpqamlC2aEmlraRV+uQsdSooLCwvXjCwIUEnxhQsX0NjYqJHiWFCZD5Vc0AVGcXExioqKFvV9mJqawqFDh1BVVYVf/vKXq/odyiKLLNY+rntiHAqFsG/fPnR0dMBut6O+vn61h7Sq+O///m8cOnQId999N77xjW+AZVkoigK73Y7jx4/j5MmTGB4exq233oqjR4/i9ttvX5KPaSpBCNH0opGVKVEUo/ShJpMpo5qoBEGA3W4Hz/Ooq6vLqCrXfF7Jfr8fXV1dayoumRCC8+fPY3p6Ou0pfPEWGFQ2kGyFOhAI4MyZM5pn+Grfs4sFdVVpaGhAfn7+ov4mMu3R6XTC4/EgLy9Pu3bxPrPZ2VkcPnwYpaWlOHny5KoFyWSRRRbXDq57Yvz5z38efX19eP755697YiwIArZt24Y/+7M/w+c///m4ryGEoKurC7/+9a/x5JNP4sKFC7j55ptx7NgxHDx4EAUFBSv68CaEoLu7Gy6XC42NjQmrwtTKbGJiAi6XC3q9XiN6q0HsqWPGWnBxiFxgRGprq6qqVsUrOVkoioJz587B4/GsuFSFBmPQBQZdnBUXFy947WhTY3Fx8apEvi8VV65cQU9PD+rr65fsqgKomurI5j2LxYKxsTGUlpZi//798Pl8OHr0KHJzc/H000+vCe/pLLLIIvNxXRPj559/Hl/4whdw4sQJ7Nq167onxoCaopdo2zMWdGv6xIkTOHnyJDo7O3HTTTfh2LFjOHz4MIqLi9P6MJdlOSp2eLEPRqpxnJiYgNPpBMdxUdHU6SYgXq8XbW1tKCoqWlN60dHRUfT09KCiokKrKEdeu9VwaVgImRJNDaiymchgjEif6dhr5/f7cebMGZSWlq6ZpkYgdaQ4FnRx9thjj+E//uM/kJOTg9LSUvA8j9OnTy96zsoiiyyyWAjXLTGmzTdPPfUUioqKUFVVlSXGywDt9Kckua2tDfv378exY8dw5MgRlJWVpfThLooi2tvbQQhBQ0PDkpudFEXB9PS0RpIJIWn1+6UNaxs3bsTmzZvXDOGhfr+R3sqJXBrSFeudLGjiYSgUQmNjY0ZpT+NdO9q8ZzQa0d7ejnXr1qGmpmbN3CNjY2Po7u5GXV1dWr3OJycn8YlPfAIXL16Ez+eDKIo4dOgQjh07hj/6oz/KyECWLLLIYu3guiTGhBDcfvvteMc73oG//Mu/xNDQUJYYpxCEEAwPD2sk+b/+67+wd+9eHD16FEePHkV5efmyHvbBYBB2ux1GozGlCWuEEExPT2v6UFmWo4jecs8zOTmJjo4ObN68eU01rA0ODmr6bZvNlvB1sV7JRUVFKC0tTYlXcrKQZRnt7e2QZXlZC6eVQKTDxcTEBILBIMxmM6qqqpZkobcaGB8fx/nz59NOioPBIO688054PB688MILyMnJwVtvvYWnnnoKTz31FC5duoTW1lbs2rUrbWOIxT//8z/jm9/8JsbHx1FXV4fvfe972Lt374qdP4ssskgtrili/PDDD+Oxxx6b9zXd3d34z//8T/zqV7/Cq6++Co7jssQ4jSCE4MqVKzh58iROnDiBP/zhD6ivr9dIcrI2X16vF3a7XbOtSldVMtaOSxCEZRG9iYkJdHV1pTVOO9UghKCvrw9jY2NoampatKvHfF7Ji3UaWA4kSYLdbgcANDQ0ZFRT43zwer04c+aMZpWXDoeLdGBiYgLnzp1DbW0tioqK0naeUCiEu+66CxMTE3jxxRfjNvV1d3dj69atK+Zh/Mtf/hJ33303Hn/8cezbtw/f/va38etf/xq9vb2LjnLPIossMgvXFDGmEa7zobq6Gh/+8IfxzDPPRBEyWZbBcRw+9rGP4ac//Wm6h3pdghCCiYkJPPXUUzhx4gReffVV7Ny5E0ePHsWxY8cW1FLOzMygvb19xWUIiYheaWnpojxrqW3Vnj17UFxcvCJjXi5oU+Pk5OSyrc0SJRamg+iJogi73Q6O41BfX79mQh5oUMqGDRui7m3qcOF0OjEzMwOr1apJfTJBMkAXfLW1tWm9t0VRxN13341Lly7hd7/73YrF0i+Effv2oaWlBf/0T/8EQJXIlJeX44EHHsDDDz+8yqPLIossloJrihgvFsPDw3C73dq/X7lyBX/0R3+E48ePY9++fdi4ceMqju76ACEEU1NTeOqpp3Dy5Em89NJL2LJlC44ePYo77rhjTjX41KlT4HketbW1KC8vX8WRQ/OsdTgc8Hq9KCgoQGlpKYqLi+dUQwcHBzE0NIT6+vpF21atNhRFQVdXFzweD5qamlJKXmlM8MTExIJeyclCEAS0tbXBYDCkVGKTbng8HrS2tqK8vBybN29O+LrlOFykAw6HA52dnWknxZIk4ROf+AR6enpw+vTpjFlcCoIAs9mM48eP49ixY9rP/+RP/gQzMzM4derU6g0uiyyyWDKuS2Ici6yUYnVBZQtPP/00Tp48if/8z//Exo0btUrya6+9hq9+9av48Y9/jKNHj672cKPg9/s1kux2u6OqocPDwxgbG0NjY2NGBqLEw0o2rAmCEJVYaLFYNJKck5OTFNELhUJoa2uD2WzGnj17Vr3xb7GgpLiiogLV1dWL/rtYh4uVdgehpHjPnj1plQzIsoxPf/rTsNvtOH36NNatW5e2cyWLK1euYMOGDXjjjTewf/9+7ef/3//3/+HVV1/FW2+9tYqjyyKLLJaKtSG+y+KaBsMwyMvLw9133427774bHo8Hzz33HI4fP45bbrkFDMPgIx/5CMrKyqAoSkaRHrPZjMrKSlRWViIYDMLhcGB8fBw9PT1gGAabNm1aMxpXSZLQ3t4ORVHQ1NSU9qYvvV6PjRs3YuPGjVFeyUNDQzAYDFpi4ULV0GAwiNbWVuTm5mLXrl0ZdX/MB7fbjba2NmzatAlVVVVJ/S3P8ygtLUVpaWmUw0VnZ2eUw0UqmkZj4XQ6V4wUP/DAA3j77bfxyiuvZBQpziKLLK5drI0ndppRWVmJbOE8c2C1WvHhD38Yb7zxBvLy8vDFL34Rra2tOHr0KGw2G44cOYKjR4/ihhtuyKjtcqPRiA0bNmBqagpmsxnr16/H1NQU/vCHP2i+q5miDY1FpDa3qalpxa+rTqdDWVkZysrKIMuyVg1ta2ubtxpK45JpM+ZasTZzu91obW1FZWVl0qQ4FizLoqioCEVFRVFNoxcuXIiKWE6Fw4XT6cTZs2exe/futJJiRVHwhS98Aa+99hpOnz6dkQmLRUVF4DgOExMTUT+fmJjIkvgssljDyEopVhFHjhxBe3s7HA4H8vPzceutt+Kxxx5bM64F6UIoFMLdd98Nu92OF154QSMOgUAAL774Ik6cOIFnnnkGBoMBhw8fxh133IF3vOMdq16Zjay4RlqEiaKo6WonJyeXJRlIB6gMwWQyYc+ePRm12KA+01RyEemVbDKZYLfb11wy3OzsLNra2lBVVYXKysq0nScyYpnq4ZfT+OhyuXD27Fns3LkzrcRPURR86UtfwjPPPINXXnklKYnJSmPfvn3Yu3cvvve97wFQx15RUYH7778/23yXRRZrFFlivIr4x3/8R+zfvx9lZWUYHR3Fn//5nwMA3njjjVUe2eri8ccfx49+9CM899xzCRttBEHAyy+/jOPHj+PUqVNgGAYHDx7EHXfcgZtuumnFwxxo45der0ddXV1CcilJktZA5XK5YDQaNZK8Gg1UNJraZrNh586dGS1DoNXQiYkJTExMIBQKwWw2o7q6GsXFxau+MFoMKCmu/v/bu/ewqOu0f+BvRMkj56MHPGFiEnJSxDWFzUIEmbG1VjtI5mP7uNpTPrtP2q62a1ttppUb7hptTw/utm0pM4hR4AkED6UcFQFJQeUkw/l8GJj5/v7oN99L8AQ4w3cG3q/r6o+Q+N5wUb3nM/fnvqdNG/BZ1rqLj5WVlX2ecKGbwT0QoXjbtm04ePAgTp48iRkzZhjsWfrw9ddfIyIiAlFRUZg3bx727NmDAwcO4PLly3BycpK6PCLqBwZjI3L48GHI5XJ0dHSYxFB/Q9FqteKSg97o6upCSkoKYmJicOjQIXR0dCA0NBRyuRxBQUEGn/2qC5fjxo2Dh4dHr8OlRqMR+2p1K4IdHR3h5OQEKysrg4fklpYWcTW1u7u7yZy4NjU1dZv3qxuhZ2trK56GGtOWO536+npkZWVh+vTpcHV1lbSWO0240J3E93yBpgvFs2bNgouLi8FqEgQBb731Fvbv34+TJ0/C3d3dYM/Sp71794oLPry8vPDxxx/D399f6rKIqJ8YjI1EbW0tNmzYgLKyMpw+fVrqckyWRqPBmTNnEBMTg9jYWDQ2NiIkJAQymQxPPPHEA48E66m5uRmZmZlwcHB4oHCp1WrFvtqqqiqYmZmJIdkQUwaampqQmZmJ8ePHw83NzWRCsW6lds8LawM5K7k/dKHYzc1N8nGDPd1twoXu3ZoLFy7A3d3doC1egiBg586d2LdvH5KTk+Hh4WGwZxER3QuDscS2bNmCvXv3orW1FfPnz0d8fLzRDK83dVqtFufOnRNDcmVlJYKDgyGTybB06dJeb3K7G11ImzRpUp83+N2v7jv11To5OcHW1vaBQ7IupOnj4tdA0tV9vzaEni0D+pyV3B91dXXIysrCjBkzjC4U93Tr755KpUJnZyesrKwwZcoUg0y4AH4KxR999BE++ugjnDhxgiMziUhSDMZ61tu11Lq3Caurq1FbW4sbN25gx44dsLKyQnx8vMmc4JkKrVaLzMxMxMTEQKlUorS0FEuWLIFMJsOyZcv63N+re3vZzc3NoG+LC4KA+vp6MSR3dXWJb3n3J6jo6jaFkHar2tpaZGdn97nuW1sGpLj4qKv74YcfNqnFQXV1dcjMzBR/tysrK9He3i6u9tbHhAvgp9/vvXv34r333sPRo0cxd+7cB/6aREQPgsFYz3q7lvpOPZClpaWYNGnSbQPjSb90m90OHjyI2NhYXLlyBT//+c8hk8kQFhYGGxubewYm3RrcRx55xKA9lz0JgoDGxkbxNE+tVovzau3t7e97+Uw3f9bQb4vrm24awoPWfeus5JqaGlhYWIgh2RA93bpQPHPmTKMcN3Y39fX1yMzM7Bbm7zbhQvcirT/tKoIg4NNPP8WOHTuQkJDA/+YRkVFgMDYixcXFmDx5MpKTkxEYGCh1OUOCIAjIz88X2y1yc3OxaNEiyOVyhIWFwcHBoVtgiomJgbW1NebMmSPpalpBEMTV1CqVSrx8pltN3fM07+bNm8jLy4OHh4dJ3ZbXLa2YPXu2Xqch3DoruaqqCsOGDRNDso2NzQO3q+hO5k3tRUhve6HvNuHCwcGhVy1KgiAgOjoab7zxBuLj47Fo0SJ9fhsmq6KiAi4uLtizZw+io6ORn5+P6dOnIyoqCgsXLpS6PKIhgcFYIufOnUNaWhoWLlwIGxsbFBYWYvv27VCpVMjNzcVDDz0kdYlDjiAIuHr1KhQKBZRKJbKysrBgwQLxJPlvf/sbPvvsMyQmJsLHx0fqcrvRneapVCo0NzeLExocHR3FZQ9z5swxqf513cm8oTes3a2n28HB4YHaVUwtFOtGyfX1gqBare52En+/EYSCIOBf//oXfvOb3+Dw4cMICgrS97dishITExESEgJPT098/PHHcHJywubNm5GXl4dr164Z9ThFosGCwVgiOTk5ePXVV3HhwgW0tLTAxcUFS5cuxbZt20zqbdfBShAE3LhxAwqFAgqFAllZWbCwsMDLL7+MdevWYdKkSUbbB97W1gaVSoXKyko0NDQAACZNmoQpU6YYxYSG3igvL8fly5fx6KOPDujJ/K2b4yorK/vcrqJr+zD0aDN904XiBx0ld6cJF2PHjkVxcTFCQkJgYWGBgwcPYtOmTVAoFAgODtbjd2H6du7cie3bt+PHH38Ul79kZGTAz88PxcXFJnUvgMhUMRgT3UNXVxfWr1+PpKQkREREIDU1FWfOnIG3tzdkMhlkMhmmTp1qdCFZEAQUFhaipKQEEyZMQGNjY7cJDU5OThg1apTUZd5RaWmpUZxw39quUllZiZaWlm6Xz3reE9D1cBt6CYa+6dZT63vpiO4kPjU1Ff/1X/8FtVoNHx8fnD9/Hv/85z+xcuVKvT1rsFi9ejUEQcBXX30lfuzKlSt4+OGHGYyJBgiD8RB2/fp1/OlPf0JSUhIqKiowfvx4PP/88/j9739vlAsSBlp7eztWrVqFwsJCHDlyBOPHj4cgCFCpVIiNjYVSqcTJkyfh4eEhhuSHH35Y8pAsCAIKCgpQWVkJHx8fsedTrVaLIa+2thZjx44VQ/L9Np8NlOLiYhQWFsLLyws2NjZSl9NNS0uL2Ffb2NgIa2trsWWgqakJFy9eNLkebl0oNvR6ao1Gg8jISERHR6OlpQV1dXV48sknsWLFCixfvhy2trYGe3ZvvfPOO/j222+RnZ0NCwsL1NfXD3gNs2bNQkRERLd10v/4xz/wm9/8BiqViq0URAOA/5YNYZcvX4ZWq0VUVBRyc3Px0Ucf4ZNPPsHvfvc7qUszCjt27EBVVRVSU1PFXlEzMzM4Oztjw4YNOHr0KG7evIlNmzbh/PnzmD9/Pvz9/fHOO+8gLy8PUrzm1Gq1yMvLQ3V1NebOndvtIpSFhQUmTpwIHx8fLF68GK6urmhsbMQPP/yAs2fP4urVq2hqapKkbuCnF2qFhYXw8fExulAMAGPGjMGUKVMwb948LFy4UOzfPnXqFLKzs8URcKZCt+TF0KEYAI4dO4Z3330Xb7/9NkpLS5Geno65c+ciMjISTk5O3YKgVNRqNZ5++mls2LBBkue3tbXhypUr0Gg04se0Wi327NmDiIgIhmKiAcITY+pm165d2LdvH4qKiqQuRXLNzc0wMzPr1Wmqbt7wN998A4VCgaNHj8LV1RUymQxyuRyenp4G/x+bVqtFTk4OWlpa4OPj0+t+4q6urm6rqS0sLODk5HTXy1P6JggCioqKUFJSAh8fH1haWhr0efqkUqmQk5ODCRMmoL29HTU1NRg9erR4Ej8Qs5L7o6mpCRkZGbdtEDSEpKQkrFq1ClFRUXj22Wdv+3mUlJSgvr4ejz76qEHr6K3o6Gi89tprA35ifP78efzsZz+Dm5sbPv/8c1hbW+PNN99ERkYGMjMzYW1tPaD1EA1V975JQkNOQ0ODUbytaQz6cvpnZmYGGxsbrFmzBmvWrEFjYyO+/fZbKBQKPPnkk3B0dER4eDhWrFgBX19fvYdkjUaDCxcuQK1Ww8/Pr0+tMMOHD4ezszOcnZ27jTHLzMwU1wPrVlPrO+TpJoGUl5fDz8/PpE5cdVMzPD09xakZt77ISEtLM/is5P5obm5GRkYGXF1dDR6KU1NTsXr1akRGRt4xFAM/XQxl7yyQnZ0Nd3d3vP766/jFL36BhoYGBAcHIyUlhaGYaADxxJhEV69eha+vL3bv3o3169dLXc6g0dLSgoSEBCgUCnz33XewsrJCeHg45HI5/P39H3jNbldXF7KysgAA3t7e952c0FtarRa1tbViX7KZmZm4mlofs34FQcCPP/4IlUoFX19fo+lz7o2Kigrk5ubC09PzrlMzNBqN+POrqqqCmZmZXmcl94cuFE+cOBHTp0836LPOnj2Lp556Cu+//z5+9atfGcWLgt6Q6sR448aNqKurw5dffjmgzyWi7ti0NAht3boVZmZm9/zr8uXL3f6ZsrIyLF26FE8//TRDsZ6NGTMGK1euxL///W9UVFQgMjISTU1NeOaZZzBz5kxs3rwZqamp6Orq6vPXVqvVSE9Ph7m5OXx8fPQWigFg2LBhsLe3xyOPPIJFixbh0UcfxbBhw3Dp0iWkpqYiNzcXVVVV0Gq1ff7ausUqlZWV8PPzM6lQrFuWcr8lL+bm5nBwcMDs2bPFn5+ZmRlyc3ORkpKCS5cuobKysltPqSG1tLQgIyMDEyZMMHgoTktLw8qVK/HOO+9IGor7899CqWRnZ8PT01PqMoiGPJ4YD0J9XUtdXl6OwMBAzJ8/H9HR0bzkMUDUajWOHz8OpVKJuLg4mJmZISwsDCtWrMBjjz1233aI9vZ2ZGZmYsyYMWJoHQi6Wb+6WcmdnZ3iamB7e/v7noALgoDc3FzU19fDz8/PZGYrAz+F4vz8fHh6esLe3r5fX6PnrOSOjo5us5J7bi3Uh5aWFqSnp4uh2JBBNSsrC2FhYdi2bRv++7//W9KT4r7+txCQ5sRYEARYWVnhq6++wrJlywbsuUR0OwbjIa6srAxBQUHw9fXFF1988cBv61P/dHZ2IiUlBTExMTh06BDUajXCwsIgk8nw85///LZNiLrLavb29pg1a5ZkL2YEQUBTU5MYktvb28WQ5+DgcNsJtlarxaVLl9Dc3AxfX1+T2vCoWzqiz/nKd5qVfOvWQn2MTdSdFLu4uMDNzc2gQTUnJwfLli3Db3/7W/G01tRI1UpBRMaBwXgIKysrQ2BgICZPnoz9+/d3C8WmtKBgsNFoNDh9+rQYkpuamhASEgKZTIYlS5YgPz8fK1aswObNm/Haa68ZTfgQBAEtLS1iSO65EGP48OG4ePEi2tra4Ovra1KzssvKylBQUAAvLy+DXk5tbW0VQ3LPWcn9OVlvbW1Feno6nJ2dMWPGDIP+ruTl5SEkJASbNm3Cm2++aTS/l71VXFyM2tpaHD58GLt27cKpU6cAAG5ubiZ1KZSIHgyD8RAWHR2NtWvX3vHP+GthHLRaLX744QcxJOuG/AcHB2Pv3r1GPdqspaVFDHlNTU0YPnw4zM3N4e3tbVJBQ7eJz9ChuKf29nZxoUhdXR3GjRsnhuTe9GS3trYiIyMDjo6OBl88U1BQgJCQELz00kt45513TC4UA8CLL76I/fv33/bx5ORkBAYGDnxBRCQJBmMiE5GamorQ0FDMmzcPJSUlKC0txZIlSyCXyxESEgIrKyupS7wjjUaDjIwMdHR04KGHHkJjYyOsrKzEWcnG3GOsC8Xe3t6SLh1Rq9Worq6GSqVCbW0tRo0aJYbkcePG3RZE29rakJ6ePiCh+OrVqwgJCcHq1avx/vvv844CEZk0BmOSnDGsYjV2R44cwcqVK/HBBx/g5ZdfhlarxcWLF6FQKKBUKnH16lU8/vjjkMlkCA0NhY2NjVGc2ulGyZmZmcHLywvDhw9HR0eHeJKsOwnVheTRo0dLXbKopKQEV65ckTwU99RzIcuIESPEkGxtbY329nakp6fDwcEBM2fONOjvwfXr17F06VLIZDL85S9/YSgmIpPHYEyS+8Mf/gBra2uUlpbif//3fxmMezhz5gyefPJJfPbZZ1i9evVtf64bfRYTEwOlUom8vDwsXrwYcrkcYWFhsLe3lyQkd3Z2IjMzEyNGjMCcOXPueLFTrVaL7QI1NTUYM2aMGJKlbLcoLi5GYWEhvL29jXq5Qs9ZycBP7Tc2Njbw9PQ06GXa0tJSBAcHIzg4GH/7298YioloUGAwJqPB2+B31tHRgbS0NCxcuPC+n6vbJKcLydnZ2fjZz34GmUyG8PBwODs7D0hIVqvVyMzMxMiRI3u9Druzs7PbSej92gUMxVRCcU9tbW04f/48RowYga6uLmg0GnGMnp2dnV5D8s2bN7F06VI89thj+Pvf/85pNkQ0aDAYk9FgMNYvQRBw/fp1sd3i/PnzmD9/PsLDwyGTyTBx4kSDhM2Ojg5kZGRg7Nix8PDw6NdJokajEXtqq6urB2y18o0bN1BUVAQfHx+j7dm+E137hK2tLWbNmgUAaGxsRGVlJVQqlV5nJatUKoSEhMDPz++2aTZERKaOwZiMBoOx4QiCgNLSUiiVSiiVSpw5cwY+Pj6Qy+WQyWSYMmWKXsJme3s7MjIyYGVlhdmzZ+vla+raBVQqFaqqqmBubt5ttbK+QvL169dx7do1kwvFHR0dSE9Ph7W1NR555JHbfh53GqPX31nJ1dXVWLZsGWbPno1//etfet20SERkDBiMySC2bt2KnTt33vNz8vPz4e7uLv49g/HAEAQBFRUViI2NhVKpREpKCjw8PMSQ3N95t7pJCHZ2dpg1a5ZBTnW1Wi3q6urEkCwIghjwbG1t+93neu3aNdy4cQM+Pj5GPQKvJ10o7ssLkZ6zkq2srMSf4ahRo+76z9XW1iI0NBTTpk3DgQMHDLKhj4hIagzGZBCmsop1qBMEATU1NYiLi0NMTAySkpLw8MMPQyaTQS6X9zrg6rarOTo6GnwSwq2119XViSGvvz21RUVFKC4uhq+vL8aNG2fgqvVH17JiaWnZ79P5nrOSx44dK15+vHVWcn19PZYvXw4XFxcoFAqT2lhIRNQXDMZkNBiMpSUIAurr63H48GEoFAocO3YMkydPFkPyo48+escT2aamJmRmZmL8+PEGXzl8r9obGxvFdgG1Wg17e3s4OTnBzs7urm/5FxYWoqSkxORCsVqtRnp6OsaNGwcPDw+9/Mx1s5IrKyuRnZ2N9957D8HBwQgLC8O7774La2trxMXFGfXcaSKiB8VgTJLjKlbj1NjYiPj4eCgUCiQmJsLZ2Rnh4eFYsWIFfHx8MGzYMJw9exYbN25EdHQ0PD09jWJ2siAIaG5uFkNyW1sb7Ozs4OTkJF48EwQBRUVFKCkpgZ+fn0n9nqnVamRkZGDMmDH9vtx4P42NjVAoFDh06BBOnz4NAFi3bh1++ctfYsGCBbxwR0SDFoMxSY6rWI1fc3MzEhISoFAo8N1338HGxgaLFy+GUqnEyy+/jLffflvqEu+qublZbLdobm6Gra0tzMzM0NDQYLKhePTo0Xc9wdeX1tZWrFy5El1dXdi8eTMSEhIQFxeHYcOGQS6XY9WqVQgKCjLY83vj+vXr+NOf/oSkpCRUVFRg/PjxeP755/H73/++T5cKiYh0GIyJqE/a2trw0Ucf4Y9//COmTJmClpYWLF++HHK5HAsWLDDqSQUtLS3Iz88X23Wsra3h5OQEBwcHo28R6OzsREZGBkaNGmXwUNze3o5f/vKXaGlpQWJionghsaurC6dPn4ZSqYSFhQV2795tsBp6IzExEV9//TVWr14NNzc3XLp0CevXr8cLL7wgeW1EZJoYjGnI+utf/4pdu3ahoqICc+bMQWRkJObNmyd1WUbvxIkTkMvl+PDDD/HCCy/gxIkTUCqV4mmiLiQvWrTIqCYXCIKAK1eu4ObNm/Dz84O5ubk457ehoQGWlpbixbN7TWeQgi4U92VhSn91dHTgueeeQ1VVFY4dO2ZSS04AYNeuXdi3bx+KioqkLoWITBCDMQ1JX3/9NdasWYNPPvkE/v7+2LNnDw4ePIiCggI4OjpKXZ7RSkhIwNNPP419+/bhhRde6PZnnZ2dSElJQUxMDA4dOoTOzk6EhYVBJpMhKChI0kkGgiDgxx9/hEqlgq+vb7eJC8BPYbCqqgoqleqe0xmkoFutbWFhgTlz5hg0FHd2dmLNmjUoLi7G8ePHYWdnZ7BnGcq2bduQmJiI9PR0qUshIhPEYExDkr+/P+bOnYu9e/cC+Gk+7qRJk/DKK69g69atEldnvD799FNYW1vjmWeeuefn6d5y14Xk5uZmLFu2DDKZDEuWLBnQE9lbQ7Gfnx9Gjx59z8/v7OwUQ3JNTQ3GjBkjzvkdO3bsgF4wHMhQ3NXVhZdeegkFBQVISkqCg4ODwZ5lKFevXoWvry92796N9evXS10OEZkgBmMactRqNUaPHo2YmBjI5XLx4xEREaivr0dcXJx0xQ1CGo0GP/zwgxiSq6urERwcDLlcjuDgYIOeyAqCgIKCAlRVVcHX1/e+obinrq4ucc5vdXU1Ro4cKYZkS0tLg4bkrq4uZGZmYvjw4ZgzZ45BJ0FoNBr86le/QnZ2NpKSkuDs7GywZ/VGfxYElZWVYfHixQgMDMRnn31m6BKJaJBiMKYhp7y8HBMmTMDZs2cREBAgfvz1119HSkoKzp07J2F1g5tWq0V6ejpiYmIQGxuL8vJyLFmyBHK5HCEhIXrdOicIAi5fvozq6mr4+fk98Cm1RqMR5/xWV1dj+PDhcHR0hJOTE6ysrPQakgc6FL/yyis4e/YskpOTMWHCBIM9q7f6uiCovLwcgYGBmD9/PqKjow16sk5EgxuDMQ05DMbGQavV4sKFC1AoFFAqlSgqKsLjjz8OmUyG0NBQWFtb9ztsCoKA/Px81NbWwtfXV++tG1qtFjU1NaisrERVVRXMzMzEkGxtbf1AwayrqwtZWVkYNmwYvLy8DBqKtVotXnvtNSQlJeHkyZNwdXU12LMMpaysDEFBQfD19cUXX3zBGctE9EAYjGnIYSuF8REEAXl5eYiJiYFSqUR+fj4CAwMhk8kQFhYGe3v7XofkW0Oxn5+fwcewabXabqupBUGAg4MDnJycYGtr26eQrNFokJmZOWCh+PXXX8e3336L5ORkTJs2zWDPMpSysjIEBgZi8uTJ2L9/f7efl9TtIERkmhiMaUjy9/fHvHnzEBkZCeCnkODq6opNmzbx8p3EdGPVdCH5woULWLhwIWQyGcLDw+Hk5HTXkKwL2PX19fD19R3w2cS6tdq6kNzV1QUHBwc4OjrCzs7unkFXo9EgKysLAODt7W3wULxt2zbExMQgOTkZM2bMMNizDCk6Ohpr166945/xf21E1B8MxjQkff3114iIiEBUVBTmzZuHPXv24MCBA7h8+TKcnJykLo/+P0EQcO3aNSgUCsTGxuL8+fMICAhAeHg4ZDIZJkyYIIbkrq4ufPjhh1iwYMGAnBT3pvbGxkZxVrJarYa9vT0cHR1hb2/fbRGKRqNBdnY2tFotfHx8DBqKBUHAW2+9hX/84x9ITk7udoGNiGioYzCmIWvv3r3igg8vLy98/PHH8Pf3l7osugtBEFBSUgKlUonY2FicOXMGvr6+kMvlWLZsGbZs2YK8vDykpKQY3YsbQRDE1dQqlQptbW2wtbUV2y1yc3Oh1Wrh7e1t0M2BgiDgvffeQ1RUFJKSkuDh4WGwZxERmSIGYyIyOYIg4ObNm4iNjUVMTAzOnTsHKysrvPjii1i1ahXc3NwGdN5wX7W0tIghuampCcOHD8f06dPh7OwsTlrQN0EQ8OGHH2LPnj04ceIEvLy8DPIcIiJTxmBMRCars7MTzz//PHJycrBu3TocO3YMSUlJcHd3h0wmg0wmw6xZs4wyJOumcnR0dMDR0RHV1dVobGyEtbW1OCtZX+0ggiAgMjIS77//Po4cOYK5c+fq5esSEQ02DMZEEkpNTcWuXbuQkZEhnoDeOimD7q6zsxOrV6/GlStXcPz4cTg4OEAQBNTV1eHw4cNQKBQ4duwYpk6divDwcKxYsQIeHh5GMeNWF4rVajV8fHwwYsQIAEB7e7t4ca++vh6WlpbiGLj+jpwTBAGffvopduzYgYSEhG4jComIqDsGYyIJJSQkiL2yTz31FINxH7z11luIjY3FsWPHYG9vf8fPaWhoQHx8PJRKJRITE+Hi4iKGZG9vb0lCslarxcWLF9He3g5fX18xFPekVqvFkFxbW4uxY8eKIbm32wIFQUB0dDTeeOMNxMfHY9GiRfr8VoiIBh0GYyIjYWZmxmDcB83NzVCr1bC1te3153/33XdQKpX47rvvYGtri+XLl2PFihWYO3fugCyG0Gq1yMnJQVtb2z1DcU+dnZ3iauqamhqMGjVKDMljx469Y6uIIAj44osv8Nvf/haHDx9GUFCQvr8dIqJBh8GYyEgwGA+c1tZWHDlyBEqlEvHx8Rg9ejTCw8Mhl8sREBBgkMkQulDc2toKX1/ffl+y6+rq6raa2sLCQjxFdnZ2xrBhwyAIAg4cOIBXXnkFCoUCwcHBev5uiIgGJwZjIiPBYCyN9vZ2HD9+HEqlEnFxcRg+fDiWL18OuVyOxx57rNenuvei1Wpx6dIltLS0PFAo7kmj0Yirqd99912cOXMGS5YsgZubGz744AMcPHgQoaGhenkWEdFQIP0tFCIiCY0cORJhYWH4/PPPUVFRgS+++ALm5uZYt24dpk2bhl//+tc4cuQIOjo6+vX1DRWKAcDc3ByOjo7w8PDA559/jt27d6Oqqgq7du3CQw89hG+++QbHjh1DZ2en3p6pD+Hh4XB1dcXIkSPh4uKCF154AeXl5VKXRUTEYExEpDNixAg88cQTiIqKQllZGRQKBcaMGYNNmzZh6tSp+I//+A/Ex8ejra2tV19PEATk5uaiublZ76G4p5EjR2LcuHH4/vvvER0dDYVCAXNzc0RERMDZ2Rlr164VV05LLSgoCAcOHEBBQQEUCgUKCwuxcuVKqcsiImIrBZGxYCuF8dJoNPj+++/F1dS1tbUIDg6GXC7Hk08+eccpEVqtFnl5eWhsbISvry8eeughg9Z44sQJrF69GlFRUXj22WfFC3larRbff/89lEolwsLCjPIS3uHDhyGXy9HR0aGX1hUiov5iMCaSUHNzM65evQoA8Pb2xocffoigoCDY2trC1dVV4uroTrRaLdLS0sSQXF5ejieeeAJyuRxLly6FpaUlNBoNnn32WUybNg1//OMfDR6KU1NT8fTTTyMyMhIRERFGudDkbmpra7FhwwaUlZXh9OnTUpdDREMcgzGRhE6ePHnHE7yIiAhER0cPfEHUJ7pFHTExMVAqlbh27Roef/xxtLa24sqVKzhy5AimTp1q0BrOnj2Lp556Crt378b69etNJhRv2bIFe/fuRWtrK+bPn4/4+HjY2dlJXRYRDXEMxjQo/Pvf/8ZLL72EoqIiuLi4AADWrl2LjIwMnDp1ClZWVhJXSIOdIAjIycnB2rVrUVBQgFGjRsHHxwcymQxhYWGws7PTe2g9f/485HI53n77bWzcuFHSULx161bs3Lnznp+Tn58Pd3d3AEB1dTVqa2tx48YN7NixA1ZWVoiPjzeZYE9EgxODMQ0KgiDAy8sLixYtQmRkJP7whz/g888/xw8//IAJEyZIXZ7R+/Of/wylUonLly9j1KhRWLBgAXbu3ImZM2dKXZrJEAQBv/71r3H06FGcPHkSra2tUCgUUCqVuHDhAh577DHIZDIsX74cTk5ODxwAMzMzsXz5cmzfvh2bN2+WPFBWVVWhpqbmnp8zbdq0O15ALC0txaRJk3D27FmurCYiSTEY06ARHx+PlStXYvv27fjggw9w6tQpzJ49W+qyTMLSpUuxatUqzJ07F11dXfjd736HS5cuIS8vr9frh4cyQRCwadMmJCQk4OTJk936wwVBQFFRkdiTnJaWhoCAAMhkMshkMowfP77PofbixYsIDQ3F//zP/2DLli2Sh+IHVVxcjMmTJyM5ORmBgYFSl0NEQxiDMQ0qPj4+yM3NxdGjR7F48WKpyzFZVVVVcHR0REpKChYtWiR1OUavoaEBzz33HP76179i8uTJd/08QRBQUlICpVIJpVKJs2fPws/PDzKZDHK5HK6urvcNuXl5eQgJCcGmTZvw5ptvmlwoPnfuHNLS0rBw4ULY2NigsLAQ27dvh0qlQm5ursEvKhIR3QuDMQ0aiYmJeOqpp6BWq3Hp0iWxl5H67urVq5gxYwZycnLg4eEhdTmDkiAIuHnzJmJjY6FQKHDq1Cl4enpCLpdDJpNh+vTpt4XegoIChISEYN26dXj77bdNLhQDQE5ODl599VVcuHABLS0tcHFxwdKlS7Ft2za2PRGR5BiMaVDIzMxEYGAgoqKiEB0dDUtLSxw8eFDqskySVqtFeHg46uvrOT5rgAiCgOrqajEkJycnw93dXQzJ7u7uKCwsREhICFavXo33338fw4ZxPxMRkb4xGJPJu379OgICAvDqq69i69atOHfuHAICApCeng4fHx+pyzM5GzZsQEJCAk6fPo2JEydKXc6QIwgC6urqEBcXB4VCgePHj2PSpEmoqqrCmjVrsGfPHoZiIiIDYTAmk1ZbW4sFCxYgMDAQn3zyifjx0NBQaDQaJCYmSlid6dm0aRPi4uKQmppq8Pm71DsNDQ347LPPEB8fjxMnTjAUExEZEIMxEUEQBLzyyiuIjY3FyZMnMWPGDKlLIiIiGnDDpS6AiKS3ceNGfPnll4iLi8O4ceNQUVEBALCyssKoUaMkro6IiGhg8MSYiO463eD//u//8OKLLw5sMURERBLhiTERga+PiYiIAN7iICIiIiICgzERGZl9+/bB09MTlpaWsLS0REBAABISEqQui4iIhgD2GBORUfnmm29gbm6OGTNmQBAE7N+/H7t27UJWVhZmz54tdXlERDSIMRgTkdGztbXFrl27sG7dOqlLGfI6Ojrg7++PCxcuICsrC15eXlKXRESkN2ylICKjpdFo8NVXX6GlpQUBAQFSl0MAXn/9dYwfP17qMoiIDIJTKYjI6OTk5CAgIADt7e0YO3YsYmNj8cgjj0hd1pCXkJCAo0ePQqFQsO+biAYlBmMiMjozZ85EdnY2GhoaEBMTg4iICKSkpDAcS0ilUmH9+vU4dOgQRo8eLXU5REQGwVYKIjI6FhYWcHNzg6+vL/785z9jzpw5+Mtf/iJ1WUOWIAh48cUX8Z//+Z/w8/OTuhwiIoNhMCYio6fVatHR0SF1GYPO1q1bYWZmds+/Ll++jMjISDQ1NeGNN96QumQiIoPiVAoiMipvvPEGQkJC4OrqiqamJnz55ZfYuXMnjhw5gieeeELq8gaVqqoq1NTU3PNzpk2bhmeeeQbffPNNt9XhGo0G5ubmeO6557B//35Dl0pENCAYjInIqKxbtw4nTpzAzZs3YWVlBU9PT2zZsoWhWELFxcVobGwU/768vBzBwcGIiYmBv78/Jk6cKGF1RET6w2BMRER9cv36dUydOpVzjIlo0GGPMRERERERGIyJiPrkvffeg5mZGV577TWpS5HMlClTIAgCT4uJaNBhMCYi6qW0tDRERUXB09NT6lKIiMgAGIyJiHqhubkZzz33HP7+97/DxsZG6nKIiMgAGIyJiHph48aNCA0NxZIlS6QuhYiIDIQroYmI7uOrr75CZmYm0tLSpC6FiIgMiMGYiOgeSkpK8Oqrr+LYsWMYOXKk1OUQEZEBcY4xEdE9HDp0CCtWrIC5ubn4MY1GAzMzMwwbNgwdHR3d/oyIiEwXgzER0T00NTXhxo0b3T62du1auLu7Y8uWLfDw8JCoMiIi0je2UhAR3cO4ceNuC79jxoyBnZ0dQzER0SDDqRRERERERGArBRERERERAJ4YExEREREBYDAmIiIiIgLAYExEREREBIDBmIiIiIgIAIMxEREREREABmMiIiIiIgAMxkREREREABiMiYiIiIgAMBgTEREREQFgMCYiIiIiAsBgTEREREQEgMGYiIiIiAgAgzEREREREQAGYyIiIiIiAAzGREREREQAGIyJiIiIiAAA/w/5MgUenKusXwAAAABJRU5ErkJggg==" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=plt.figaspect(0.5)*1.5)\n", "ax = fig.add_subplot(projection='3d')\n", "\n", "R, P = np.meshgrid(mag, phase)\n", "X, Y = R*np.cos(P), R*np.sin(P)\n", "Z = np.array(wigner)\n", "surf = ax.plot_surface(X, Y, Z, cmap='plasma', alpha=0.8)\n", "\n", "ax.set_zlim(-0.15, 0.2)\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$p$')\n", "cbar = fig.colorbar(surf, shrink=0.5, aspect=10)\n", "cbar.ax.set_title('$W(x, y)$')\n", "plt.show()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-09T14:08:44.155442Z", "start_time": "2024-02-09T14:08:44.007535Z" } } }, { "cell_type": "markdown", "source": [ "The result looks like a mixture between a single photon and a superposition between vacuum and a single photon. Although, we would find that it is not exactly this!" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [], "metadata": { "collapsed": false } } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }