{ "cells": [ { "cell_type": "markdown", "id": "39d62fc6", "metadata": {}, "source": [ "# Fundamental frequencies in the isochrone potential\n", "\n", "Here we have a more complete description of the frequency analysis presented in the Introduction. We integrate several orbits in the isochrone potential, get the frequencies and set a strategy to obtain the fundamental ones, comparing with the analytical expressions. The orbit integration uses the [agama](https://github.com/GalacticDynamics-Oxford/Agama) package, but you may prefer other packages, such as [gala](http://gala.adrian.pw/en/latest/) or [galpy](https://www.galpy.org/).\n", "\n", "The discussion and plots are based on the Appendix A of Beraldo e Silva+ 2023." ] }, { "cell_type": "markdown", "id": "c409a484", "metadata": {}, "source": [ "We start importing the relevant modules and setting some parameters for prettier plots:" ] }, { "cell_type": "code", "execution_count": 16, "id": "430e9f89", "metadata": { "ExecuteTime": { "end_time": "2023-02-01T03:46:14.400203Z", "start_time": "2023-02-01T03:46:13.931709Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "\n", "import agama\n", "import naif\n", "\n", "from matplotlib.ticker import ScalarFormatter, NullFormatter\n", "\n", "params = {'axes.labelsize': 24, 'xtick.labelsize': 20, \n", " 'xtick.direction': 'in', 'xtick.major.size': 8.0,\n", " 'xtick.bottom': 1, 'xtick.top': 1, 'ytick.labelsize': 20,\n", " 'ytick.direction': 'in','ytick.major.size': 8.0,'ytick.left': 1,\n", " 'ytick.right': 1,'text.usetex': True, 'lines.linewidth': 1,\n", " 'axes.titlesize': 32, 'font.family': 'serif'}\n", "plt.rcParams.update(params)\n", "columnwidth = 240./72.27\n", "textwidth = 504.0/72.27\n", "\n", "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "markdown", "id": "053958b6", "metadata": {}, "source": [ "## Integrate orbits" ] }, { "cell_type": "markdown", "id": "11e47818", "metadata": { "ExecuteTime": { "end_time": "2023-01-29T20:17:31.414858Z", "start_time": "2023-01-29T20:17:31.408899Z" } }, "source": [ "For the initial conditions (ICs), we generate a self-consistent sample of orbits in the isochrone model (the original units in agama are such that the gravitational constant $G=1$):" ] }, { "cell_type": "code", "execution_count": 3, "id": "98fb1e6f", "metadata": { "ExecuteTime": { "end_time": "2023-02-01T03:46:14.450057Z", "start_time": "2023-02-01T03:46:14.402945Z" } }, "outputs": [], "source": [ "M = 1.\n", "Rc = 1.\n", "n_orbs = 100\n", "\n", "isoc_pot = agama.Potential(type='Isochrone', mass=M, scaleRadius=Rc)\n", "isoc_df = agama.DistributionFunction(type='QuasiSpherical', potential=isoc_pot, density=isoc_pot)\n", "isoc_data,_ = agama.GalaxyModel(isoc_pot, isoc_df).sample(n_orbs)" ] }, { "cell_type": "markdown", "id": "a43d11e5", "metadata": {}, "source": [ "Note that self-consitency is not important here, but it conveniently generates a broad range of ICs. Now we integrate the orbits and calculate the apropriate coordinates:" ] }, { "cell_type": "code", "execution_count": 4, "id": "6707a8bd", "metadata": { "ExecuteTime": { "end_time": "2023-02-01T03:46:15.998574Z", "start_time": "2023-02-01T03:46:14.455842Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100 orbits complete (3704 orbits/s)\n" ] } ], "source": [ "n_steps = 10_000 # points per orbit\n", "int_time = 100*isoc_pot.Tcirc(isoc_data) # integration time\n", "orbs = agama.orbit(potential=isoc_pot, ic = isoc_data,\n", " time = int_time, trajsize = n_steps+1)\n", "t = np.vstack(orbs[:,0])[:,:-1] # time\n", "all_coords = np.vstack(orbs[:,1]).reshape(n_orbs, n_steps+1, 6)\n", "\n", "x = all_coords[:,:-1,0]\n", "y = all_coords[:,:-1,1]\n", "z = all_coords[:,:-1,2]\n", "vx = all_coords[:,:-1,3]\n", "vy = all_coords[:,:-1,4]\n", "vz = all_coords[:,:-1,5]\n", "\n", "r = np.sqrt(x**2 + y**2 + z**2)\n", "vr = (x*vx + y*vy + z*vz)/r\n", "phi = np.arctan2(y, x)\n", "Lz = (x*vy - y*vx)" ] }, { "cell_type": "markdown", "id": "8665d976", "metadata": {}, "source": [ "Note that the orbits are integrated for 100 circular times, which means each orbit has its own time array. We first define real time-series for all orbits." ] }, { "cell_type": "markdown", "id": "dc367f0c", "metadata": { "ExecuteTime": { "end_time": "2023-01-30T01:22:17.121297Z", "start_time": "2023-01-30T01:22:17.117635Z" } }, "source": [ "## Real time-series" ] }, { "cell_type": "code", "execution_count": 5, "id": "da48afa0", "metadata": { "ExecuteTime": { "end_time": "2023-02-01T03:46:16.006014Z", "start_time": "2023-02-01T03:46:16.002022Z" } }, "outputs": [], "source": [ "fr = r\n", "fphi = phi" ] }, { "cell_type": "markdown", "id": "b45b5a73", "metadata": {}, "source": [ "and extract the five most prominent frequencies (in a modern laptop this takes ~ 2 min. for 100 orbits):" ] }, { "cell_type": "code", "execution_count": 6, "id": "cc74aaf2", "metadata": { "ExecuteTime": { "end_time": "2023-02-01T03:48:42.248295Z", "start_time": "2023-02-01T03:46:16.009043Z" } }, "outputs": [], "source": [ "n_freqs = 5\n", "\n", "# to store the frequencies:\n", "om_r_real = np.zeros((n_orbs, n_freqs))\n", "om_phi_real = np.zeros((n_orbs, n_freqs))\n", "# to store the amplitudes:\n", "a_r_real = np.zeros((n_orbs, n_freqs), dtype=np.complex128)\n", "a_phi_real = np.zeros((n_orbs, n_freqs), dtype=np.complex128)\n", "\n", "for i in range(n_orbs):\n", " om_r_real[i], a_r_real[i] = naif.find_peak_freqs(fr[i], t[i], n_freqs=n_freqs, p=1)\n", " om_phi_real[i], a_phi_real[i] = naif.find_peak_freqs(fphi[i], t[i], n_freqs=n_freqs, p=1)" ] }, { "cell_type": "markdown", "id": "c078d4e6", "metadata": {}, "source": [ "In case you see the output \"Frequency 1 - Peak not found in first shot. Refining\" for some orbit, that means that Brent's method was not able to find the maximum around the peak, and a brute force search is done in this case (that's what the parameter `n_scan_peak` is for). If this message is shown for a large fraction of the orbits, this may indicate a problem with the time series, so check your orbits. If you want to suppress this message, you can use option verbose=False in naif.find_peak_freqs().\n", "\n", "Note that we explicitly set the parameter $p=1$, which is the standard value in the window function $\\chi_p(t)$, but other values might improve the estimates.\n", "\n", "Now we will take the leading frequencies to compare with the fundamental ones (remember that they are sorted in descending order of amplitude). For $\\Omega_r$, we simply take the absolute value, since a negative frequency for radial oscillations is not physically meaningful. On the other hand, for $\\Omega_\\varphi$ we want to retain the correct sign, since there might be retrograde orbits. It would be convenient to have the correct sign extracted automatically. However, this is not the case for the real time-series (you can try it), and we impose that the sign of $\\Omega_\\varphi$ is the same as the one of $L_z$. Unfortunately, this is still not enough to recover the fundamental $\\Omega_\\varphi$ for all orbits. This is because the orbits with large apotencer distances expend most of the time far from the potencial center, effectively behaving as precessing ellipses. In some cases, the precessing frequency has a larger amplitude than the azimuthal one itself, and taking the leading frequency completely misidentify the fundamental $\\Omega_\\varphi$. We solve this by requiring that $|\\Omega_\\varphi| > |\\Omega_r|/2$, which is strictly valid for the isochrone potential and generally valid for realistic galactic potentials." ] }, { "cell_type": "code", "execution_count": 7, "id": "404931d9", "metadata": { "ExecuteTime": { "end_time": "2023-02-01T03:48:42.262088Z", "start_time": "2023-02-01T03:48:42.250897Z" } }, "outputs": [], "source": [ "lead_om_r_real = np.zeros(n_orbs)\n", "lead_om_phi_real = np.zeros(n_orbs)\n", "fund_om_phi_real = np.zeros(n_orbs)\n", "\n", "for i in range(n_orbs):\n", " lead_om_r_real[i] = np.abs(om_r_real[i,0])\n", "# lead_om_phi_real[i] = om_phi_real[i,0]\n", " lead_om_phi_real[i] = np.sign(Lz[i,0])*np.abs(om_phi_real[i,0])\n", " \n", " # select the leading frequency which is > Om_r/2:\n", " idx_fund = np.where(np.abs(om_phi_real[i])>lead_om_r_real[i]/2.)[0]\n", " fund_om_phi_real[i] = np.sign(Lz[i,0])*np.abs(om_phi_real[i][idx_fund][0]) " ] }, { "cell_type": "markdown", "id": "b8c51d3c", "metadata": {}, "source": [ "Now we compare with the analytical expressions for the fundamental frequencies in the isochrone model (see Binney $\\&$ Tremaine 2008). For this, we need the magnitude of the angular momentum and energy, and we also calculate the apocenter distances to illustrate the difficulty raised above:" ] }, { "cell_type": "code", "execution_count": 8, "id": "162b5d18", "metadata": { "ExecuteTime": { "end_time": "2023-02-01T03:48:42.714085Z", "start_time": "2023-02-01T03:48:42.269407Z" } }, "outputs": [], "source": [ "Lx = (y*vz - z*vy)\n", "Ly = (z*vx - x*vz)\n", "L = np.sqrt(Lx**2 + Ly**2 + Lz**2)\n", "\n", "v2 = vx[:,0]**2 + vy[:,0]**2 + vz[:,0]**2\n", "pos = np.column_stack((x[:,0].T, y[:,0].T, z[:,0].T))\n", "E = isoc_pot.potential(pos) + 0.5*v2\n", "\n", "rapo = np.array([np.percentile(np.sum(orb[1][:,0:3]**2, axis=1)**0.5, 100) for orb in orbs])\n", "\n", "an_Jr = M/np.sqrt(-2*E) - 0.5*(L[:,0] + np.sqrt(L[:,0]**2 + 4*M*Rc))\n", "an_Jtheta = L[:,0] - np.abs(Lz[:,0])\n", "an_Jphi = Lz[:,0]\n", "\n", "an_Om_r = M**2/(an_Jr + 0.5*(L[:,0] + np.sqrt(L[:,0]**2 + 4*M*Rc)))**3\n", "an_Om_theta = 0.5*(1 + L[:,0]/np.sqrt(L[:,0]**2 + 4.*M*Rc))*an_Om_r\n", "an_Om_phi = np.sign(Lz[:,0])*an_Om_theta" ] }, { "cell_type": "markdown", "id": "dca31c57", "metadata": {}, "source": [ "And let's calculate the relative erros of these estimates:" ] }, { "cell_type": "code", "execution_count": 9, "id": "2a18e949", "metadata": { "ExecuteTime": { "end_time": "2023-02-01T03:48:42.723320Z", "start_time": "2023-02-01T03:48:42.719293Z" } }, "outputs": [], "source": [ "delta_om_r_real = np.abs((an_Om_r - lead_om_r_real)/an_Om_r)\n", "\n", "delta_om_phi_real = np.abs((an_Om_phi - lead_om_phi_real)/an_Om_phi)\n", "delta_fund_om_phi_real = np.abs((an_Om_phi - fund_om_phi_real)/an_Om_phi)" ] }, { "cell_type": "markdown", "id": "32242ff0", "metadata": {}, "source": [ "The plot below shows the results of these calculations:" ] }, { "cell_type": "code", "execution_count": 10, "id": "af5556a1", "metadata": { "ExecuteTime": { "end_time": "2023-02-01T03:48:44.413614Z", "start_time": "2023-02-01T03:48:42.727332Z" } }, "outputs": [ { "data": { 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mcy6aMTE/8xcAHiKBCQAepPkv258+fdrKdhalRrjNog6fu6bjWVcmk7nWKTNJBbSKfr+/MM3HJjv/5lOLzNpEJ8om27qsw2jbnT2TzopNp86ad8zn6l0d+vmwqKNznfvObRadS/1+f2tB3V3ZZod+pVJZ+Pp9OqcfwzW3bQ/pmjn0+9NjkiTJtX2VJEmUy+Vot9v3Wnc6nV54r9rW364AcCgEJgB4kOa/gC/KB70Jq47AXDaadhu5w++yjVU70Ja9f5Md5Dd16szPhFnHJvf1slGZm2jnbdLp9MZHAM869nP1Ptta16bPh3a7vbDTcFsBqUXn07HXG9jWyOmJRcdi3VkTj+Wa26aHds0c8v3psblpP900oOKuFp1Lg8Hg3usFgEMmMAHAgzRf7Ho4HF4rhLkJq3YML+royWQyGy3MusyiEaP1ev3OoyUnhTjnbbrT7KYRzvftiN/06Ol9jkDddmflMZ+rd3Xo58OiY7DNgNSi/aE47s0uLi4Wvr5OMPwxXHPb9pCumUO/Pz02N+2nTcySWRQ4OvYZawBwG4EJAB6kRZ0Q1Wp148GJyRfJu3Yc7Ws07E3b+fDhw52WX5aqYNOdJ8vSlixLm7KKXe3rXXjx4sVW13/M5+p9t3MIluUX32abF51TcpzfbNlI/OFwuHKn4mO45rbpoV0zh3x/eoxuCm5t4u+gRX9HChoB8NAJTADwIKXT6YUdRtVqNc7PzzfWcZBOp2M0GkWr1br1vcPhcOGXzPPz84205TbpdHrhF9+7ju5c9r5N5+4uFArRaDSmnQDpdDpqtdpG0nF9+eWX917Hodhm7vxjP1fv6pDPh2XpYLaZvmvRuo3Yvd2ya3GVlD6P5Zrbpod2zRzy/ekxSqfTSwdIbKIWiOMNwGMkMAHAg7Vs5H2/34/z8/M4OzvbSKqKu86WWDbjYNs50G/b1l07z5a9bz5t1iaUSqUYDAYxHo9jNBptZLZExN2P1THYZmfbsZ+rd3XI58OyDuGzs7OtbVOql/Usuweu0qn/WK65bXpo18wh358eq8kgicmxyWaz0el0tja7Rf0PAB46gQkAHqxsNhulUmnp74fDYVSr1Tg9PY18Ph/VanWrnTDLOk222cF8l20tS38x66b9ckydJ7vs5Nu2bZ43x3yuruKQz4dlKXS2eQwUx13PslkNq/x/8liuuW16aNfMId+fHrNKpRKj0SjG43H0ej0ptwDgHr6z7wYAwDY1Go0YDoe3dhB1u93odrvTGhTZbDaeP38e+Xw+stnsRjo29pFmYt6yIMKnT59uTA20LDXFLtu+CccURNmnYz5XN7GNQ7BsxPU2OyvNmFjPshkTSZJEkiR3Os8eyzW3TQ/tmjnk+xP3M0nddnl5Of33mNKmAcCmCEwA8OB1Op0ol8sLC4su0+/3o9/vT5fJZDKRy+WiXC4fRQfNMss6aAaDwY3LLetk0XHCtqx7rj4EN3Vq7qrmAHd3033w8vLyaO6Tx3zNuWY4REmSRLfbjU6nE8PhcPoAAD4TmADgUWg0GpHP5+P169drjWQcDofRbDaj2WxGLpeLWq22UoDipm3ustNq3dGdx9Ax9Zhs85w59nP1IbgpDUylUtl5kdRjDsbuwk0j8u9yvrrm7s81w6Fot9vR6XSi2+0uDELkcrnIZDJxfn4emUwmMplMPH36NN6+fTudtQsAj4XABACPRqFQiEKhEM1mM2q12tqj1rrdbpyfn0elUolarXanZQ59hNxt7VvW6SMH9sNz7OfqQ3DTZ7zrPYfduSl4MBwOb+2kPvRz+tDbF+GaYb+SJIm3b99Gs9m8FsjLZDJRKBTi4uLixnvBroNnAHAIFL8G4NEplUoxGAyi1+tFqVRaO4d3vV6PYrF4p/ceevHY29onldPjceznKhySu5yvh35OH3r7YF+Gw2EUi8U4PT2Ner1+5W+lXC4XnU4nBoPByrNsAeCxEJgA4NHKZrPRaDRiMBjEaDSKTqcTlUolcrncndfRbrcjn8/fqx27TJOx7raOOcUHm3MM5+pDcN/UQByO+xavds3djWuGXavX63F2dhbtdvvK69lsNgaDQXQ6nZX+ngSAx0gqJwCIzx3vuVzuypfI4XA4LVrY7XaXdm50u90ol8vRaDSWrv++nVPbdlv7lv3eSNqH59jP1YfATKTjclPH913S3R36OX3o7YtwzbBb+Xw+ut3utdcbjUaUSqU9tAgAjpMZEwCwRCaTiVKpFK1WK0ajUbRaraVT8ZvN5rVRc7MOpRbDurUiluU+NhL14Tn2c/UhuKkjWDDw8Nx0TO7SqX8o5/QxX3OuGXYhSZI4OztbGJTodDqCEgCwIoEJAB6k4XAYzWZzo+ssFArR6/WWFtKsVqtLl72tOOquLAsknJ2d3bjcsvbr8Hl4jv1cfeiOoRDxY3NTgPYuI/ldczfrdruRSqWiXq+vtbxr5rjc93hv08uXLxeeT9I2AcB6BCYAeJDa7XaUy+UbZzGsq1KpRKfTufb6JPXTMoeQDmlZB81to3qfP3++8HUzJh6mYz5XH4pls7Ncc4fn06dPC19fJb2Qa+7+XDNsU7lcjn6/f+31Wq0mKAEAaxKYAOBB+uabbyIiFgYQNiGXyy2sKXFTnYllX1x3OZpzWSfXbV+ql3X4RMTCL+oct2M+Vx+Ki4uLha8b/X14er3ewtdfvXp153W45u7PNcO29Pv9hbNwM5lMVCqVPbQIAB4GgQkAHrRlI1k3oVQqXeuwuakDJJ/PL3x9MBhstF3LJEmycORoNpu908jeZZ1T29zH7Mexn6sPwbLrbVvBVta3bKbcsutolfe65u7ONcO2vH79euHry1J77kqSJFGv12+crQsAh0xgAoAHbduj+ee/lN4UmCgUCgtf39UXymUBhLuOhi0Wiwtf1+nz8Bz7ufoQLOsQFgg8LEmSLL3vL7uOVnmva+7uXDNsQ7/fX/i3ZDqdXukav81kpu8qLi8vo1qtRqvV2lg7AGCXBCYAePC22bGTzWav5N++LZf1ok6eXaVCWhZAWJb+Yt6yDqpdtT9JEqMCd+iYz9WHYlEqoJs6wjctSZKF6Uv4ax8+fFj4+jod+q65+3PNsGnv379f+PoqqdruQi0UAB4jgQkAHrxtjyS7qf7CvGq1uvD1XXQ+LdpGNpu9c/szmczC0YHD4XAnnT6vX7+OfD7vy/uOHPO5+lAsOwa7CtC9fv06yuWya+4Gy+oKLTt2N3HNLbbK+eeaOX6Htu+WXX+rpGq7C7VQAHiMBCYAePCWjWjdlNkZE7fJ5XILO3qWjcjblGWzDVbNj/zmzZuFr+8iz3K73Y50On00+c6P3bGfqw9BJpOJUql07fVlneGblCTJg7jmlhV03oThcLi0Q3/dGRMP5Zp7+vTp0m2tanIM73Ieumb2Y1/HexeWBQxW+dvvPtsBgIdMYAKAB2+XKYDu8kV1UWfPtlM/LFr/Op1ny5bZVfsXdTixPcd8rj4Ui0aA9/v9rXdiPZRrbpv7aVnH/X069B/KNbfs/8J1AkWTzu1lnd/zXDO7t8/jvW27CEwsm3l6aLNHAGDTBCYAeBS2Odp69svkXTpycrnctfdtOy/127dvr7327t27tda1bF9us/2T0a7lcnlr2+C6Yz9XH4JMJhOVSuXa6+ukClrF5JpbNkvqWGxrpPxwOFx4HSy6ZlbxUK65ZbMG1ulo/eqrryLi7mkTXTO7t8/j/RConwXAYyUwAcCj0O12tzZacjaVR7FYvNMyrVbr2pf4bQVP2u32tc6BWq229pf+bDa7sK3VanUro/va7Xb0+/0oFAobT53A7Y75XH0oFu2Ddru9tc6ser0ew+EwKpXKwaRTWVe73d7KvX9RJ3c6nd5ITaOHcs09f/782mufPn1aeT2T/2NXuf+7ZnZvn8d7m5a1Y5P3lWXX3G0zTibX7tnZ2cbaAgC7JDABwKOxjdH2s+kh0un0nUfKptPp+Pjx45XXhsPhxkd0JkkSr1+/vvJaLpdbOJp0FZVKZeGo3vltbcJknY+xxsAhOPZz9aFY1FldLBY3HgycHNt0Ov1gRn7fNWB8V91uN9rt9rXXP378uJFO6YdyzS3a751OZ6V1JEkSw+FwrVkorpnd2vfxnrXJ2jLLgnSbCnJNgqe1Wu1aEOS2c3X278+72mbdHQBYlcAEAHtz0xeubXxxWtaZdB+zKTBW7TjPZrPX0ozU6/WNjuh8+fLllf2cyWQ2MqI3YnGnT7vd3mjKkUkn0qIv7OvYdIfUsvVt8vxdtI1d550+9nN1mWM6HxbtjyRJ4uXLl/de9+z68vl8RGyuk33fCoVC9Pv9qNfrG1nfcDic7qNZjUZjozN7HsI19+rVq2uvrfp/8IcPHyJivYEFx37NHNP9KWL/x3tblgWbNpEmbhIcnKRwW3QPmZ2VO2+S9mrRbBUAOApjANiTVqs1joiFj3Q6fa91VyqVpesdDAYbb382m117PY1G41obO53OvdtXKpWurDebzY5Ho9G91ztrNBqNM5nMtf3caDTuve7JMSwUCisv2+v1Fh7/SqVy73bN6nQ6C7dTq9U2to3582Py6PV6G9vGum05lnP1IZ0Pi7axzjUybzQajbPZ7MbbuyuDwWDhvh+NRuNcLjeOiHGr1brXNrZ5v1vmWK+5ZdtZdX+l0+l7/z1w6NfMQ7o/HcLxHo1GCz/nfa7TyT1k09f+5PyZXHuL/i6+aRvZbHal/bWNfQMA9yEwAcBeDAaDhR08s49SqbT2+ucDE7VabfqFbxPBidkv+JlM5t4dOos6DNb9ojjbETd55HK5e7Xvtu1Nvlxv6ovupHNjnXYv+vyznXqb6tBf9rk3dY6NxzdfJ5lMZmNBtlUc27n6kM6HiV6vN06n0xvrWJ49z44xKDEe3xyYGI/H9/58y67FTQQJbnNs19z89ubP1XQ6fadztVarbazT9FCvmYd2f9r38R6NRuNCobD0c657vJcFJSPWHyQwOe7z95D57WQymYXLT+4Ldw1g3bRv9vX3BACkxuPxOABgC/r9/pWp7peXl9P8wasUDcxms5HJZOLp06fT19Lp9I2pk6rV6jR1RyaTicFgEBERzWYzyuXydPlSqbTqx4p6vT7N9Z3JZKLT6WwkzVC/34/Xr19fmbZfKBRWSmPUbrfj9evXV1I2VCqVndRnKJfL19I45XK5aDQad27/7D4oFAq3phVpNpvR6/Ui4vP5NRwOb0x7MJHJZCKTyUQ6nZ6eVzelZajX69Nz6PLy8kptkdu2k81mr5y7y7YzKR6+6nWy6LNM1ret4qGHeq4+pPPhNsPhMMrl8pXUPuvc12bvZ41GY6174iEYDocLC8CORqNIp9ORJEkUi8XodruRy+UWpqJbpt1uX8ufv8l7/10c6jV3F91u91r6q2w2O71WF5ns89vet4p9XzOP5f60q+PdbrenNSxW2Z/zf1Pe9f/KSRq3Rfuy1WpFoVC4U7v7/X4Ui8UYDocLl1u0/+b/Hur3+9OUZKPR6No21t038+fAbX9rA8C97TsyAsDDdVOqpvs+bpu6PjtjYn402+zIyWw2O240GreOohsMBuNarXZlJOB9ZnTcpNFoXBtxmMvlxp1OZ2E7F7VtssyuR8D1er2FozILhcLSNCqj0WjcaDSujBq9a8qVZSNN13ncZNlI001uZ/743fexi1RPh3auPqTz4a5ardbCEcqVSmXpPu31euNKpXLlPnjso2VvmzExMRmVPbmH3/S5W63WtdHL6XR6r2lPDu2au6tF6Yoymcy10eKj0Wj6//d9RrjfZF/XzGO6P+3ieC9KG7XOY9VZT8tSheZyuRv/3+10OtMZC7fNUFi2jWw2O70n3TTTZVP7ZhP/RwHATcyYAGBrJiPgJqNSZ0fhrWNSoDFJkkin0wtHiU1MZkyUSqUbR6g3m83p6NHJqMTJyLnhcDgdaTY7wrRUKm11NHrE58/YbDbj/fv3C0e5zbZxXqFQiHK5HLlcbmvtu0273Y5Go7GwUGs6nY5MJnNldsDk9VKpFG/evLnzSOZ8Ph/dbvfabIG7mj2nbvqT6Pz8fLqvt7Wd09PT6fN1r5XZ7fR6vY0W413mkM7Vh3Q+rKrZbEaj0Vh4DGavudnjkM1mo1wuH+0siVm3zZiYf2+tVpvO8Jq99y8bYZ7NZuPi4iIqlcrWPsNdHdI1t4rhcBjVanVhQeT5Nq86q2Udu75mHtv9advHezJLc539OfsZO53OytdDkiTx9u3bK39DTqTT6Xj+/Pn0fpIkSXz69Gn6t+ubN2/udB9pNpvTmZTzbttf99k3EVcLot/0tzYA3JfABAAPUrvdjrdv394pJUC3241WqzVNnTP5ojz5QjeZ2p7P5/fWmdNut+Orr76aBkmGw+G042TSxmKxuNdgxCJJksSHDx+i0+ksbPvksa99y2Yd87n6UNx2DCaPcrm8szREu7BKYGJicn/q9Xrx6dOn6f6a3VcvXryIQqFwsPvqGK+5SWCl0+lMO2wj/jqNzK4DJ4/1mtmVQzvem9bv96Pb7U7Pn9nBLJNz6Pnz52tfg5NzMyLi7Owscrmc8xCAB0NgAgAAOGrrBCYAAID9Odl3AwAAAAAAgMdDYAIAAAAAANgZgQkAAAAAAGBnBCYAAAAAAICdEZgAAAAAAAB2RmACAABgi/L5fJyenkaz2dx3U7gHxxEAYHNS4/F4vO9GAAAArGs4HMbZ2dm110ejUaTT6d03aEa73Y5isRgREel0Okaj0V7bw3ocRwCAzTJjAgAAYEsuLy+nz5Mk2V9DuBfHEQBgswQmAAAAtkQn9sPgOAIAbNZ39t0AAAAAdidJkuh2u/HVV1/FcDiMJEliOBzG5eVlJEkS6XQ6nj59GplMJtLpdGQymXjx4kXkcrm9p8YCAOBhEJgAAODBSZIkLi8vr3S6fvPNN9c6Yd+9exeFQmHfzYWt63a70el0otvtRr/fn76eTqfj+fPn06DDl19+Gd988830Oul2u1dmC2Sz2cjlcnFxcRHZbHYPnwQAgIdAYAIA2Kt6vR7VanU6Qnfe7Ojcm1JpTPJ/T97T6/V0mj1Sywoh83AtuzdcXl4++hH+7XY7qtVqDIfD6WvZbDYuLi6iUChEJpO5dR39fj+63W40Go3o9/vR7/ejXq9HNpuNWq0WuVxumx8BAIAHSGACADgISZLI4c3RmszQuEsnL5v36dOnha8Ph8NHe0yazWZUq9Ur99VMJhONRmPlQEI2m41sNhuVSuVKoKPf70c+n49MJhO1Ws3sIwAA7kxgAgDYq/kRu5eXl9Hr9eLDhw+3BipyuVxks9k4Ozu7MttikhOdxymTyUSn05kGCwaDQTSbza0EvobDYRSLxWlqnHQ6Ha1WywjyHRoOh1Gr1Rb+rlqtxsePHx/VrIn5c3Ki1WptJHBQKBSiUChEs9mMcrl8ZZu5XC5ardaj2t8AAKwnNR6Px/tuBADAvCRJ4tmzZws7k9PpdPR6PcEHVnJ6enrtfLpvZ+2idUZEDAYD5+cWzM4AGA6H08dtstlsZDKZaQAznU4vDWZs2iRd3cQ2v37NBgsmJoG6bZyPw+Ew8vn8lWPwUINzuzyOAACPwcm+GwAAsEg6nY5Xr14t/F2pVNLpy8o23RHdbreXzsJoNBob3RafNZvN6aPb7d4pKBHxuUZCu92eLttut7fc0t0rFovXghK5XG6rQbJMJnOtnk+SJJHP56904gMAwDypnACAg7WsgPGXX36545bwEGy6c/amTvG7dpizukmaoNn0bXd1eXm54dYchmKxeC3YMpkpsW3pdDo+fvwY5+fnV877er0eEZsPCAIA8DAITAAAB2tZnnL5y1nHOh3ZN7kp0PHixYuNbovPRqPRvptwcMrl8rWgRDqd3klQYn5788FkwQkAAJaRygkAgEdh0wGtQqFwJYXN7HYqlcpGtwWLVKvVaDab115vtVo7T3e3bIZGvV6fBigAAGBCYAIAANbU6/WiVCpFOp2OdDodhUIhvv766303i0eg3+8v7PDP5XJ7Kzy9bNvValV6MwAArhCYAACAe2g0GjEajWI0GkWr1ZJqjJ0oFosLX9934fVlaZuWtRcAgMdJYAIAAOCI1Ov1hTMQSqXSzlM4zctms1EoFK693u/3F6adAgDgcRKYAAAAOBJJkkS1Wl34u3K5vOPWLLasHcvaDQDA4yMwAQAAcCQ+fPiw8PV0Or2wGPs+LKtxkSRJtNvtHbcGAIBDJDABAABwJJbVkNhXwetllrVn3zUwAAA4DAITAAAAR2A4HEa/31/4u4uLix235mbLil13u91IkmS3jQEA4OAITAAAAByBbre79HeHksZp4vnz50t/tywdFQAAj4fABAAAwBHo9XpLf/f06dMdtuR2mUxm6e9u+hwAADwOAhMAAABH4PLycunv0un07hpyBze1Zzgc7q4hAAAcJIEJAACAI7CsQ//QghITy9olMAEAgMAEAADAEVjWoX9T2qR9OrT0UgAAHI7v7LsBAAAAd9Xv92M4HMbl5WU8ffo0stnswXbM70qSJPtuwkI3pZ4CAOBxE5gAANix4XAY7XY7vvrqqxgOhzEcDiNJkshkMpFOpyOTycTFxUXkcrmtp2hJkiQ+fPgQrVZr2paImLYjl8tFPp+PXC631XbcVbvdjvfv30/32XA4jHQ6Pe2g3sV+m2x30jk+GAymr11eXsZwOIxSqRS1Wm2ldU6Wnazrm2++ufLz5eVlvHv3LgqFwtL1TPZPv9+Py8vLSJJkeiyfPn0a+Xw+SqXSzlP/9Pv9eP/+/fSzRHw+x168eBG5XC6y2eytyzcajfjw4cPCTvhSqRSNRmMbTT8oT58+Xfj5DzU10rKAyaGmngIAYHcEJgAAdqTdbsfbt2+j3+9HxOfOuVevXsXFxUVERAwGg/j06VO02+1ot9sREZHL5aLRaGx8RHiSJPH69evpdrLZbORyuTg7O4uIiK+++iq63W7U6/Wo1+uRTqfjzZs3e+vUfvv27bSti9o72XfFYjEiIiqVSrx582bjbS0Wi1fasQlJksTp6em91tFsNqNarUaSJJHL5ab7ZhLc6Ha70e/3o9vtRrVa3dp5NStJknj79m00m80rHdTZbHYaoJjsy2XnV5IkUa1Wo9lsRiaTiVKpFBcXF9NARr1en/7+/Pw8SqXS1j7PIchkMgcbhJh30ywOKZ4AAIgxAMCBajQa44i49mg0Gvtu2kpGo9E4l8tN25/JZMatVmvp+weDwZX3R8S4UqlsrD2tVmscEeN0Oj2uVCrj0Wh043vT6fS0Hel0etzpdDbWlpuMRqNxqVS6th8Gg8GNy1QqlXE6nb7W1sFgcO1cuuk4LFIoFBaek/OPVY7XaDS60zoXtXc0Go2z2ew4Isa1Wu3GY7noetrWtTS/rUKhsPC49Xq9K+f67DHr9XrjdDp94/Uyu41sNruVz3JftVrtSjvvY/56mH3cdOz3YdH1to372a5s8jgCADAeK34NALBF7XY7Tk9Po9vtRsTnlDODweDGdDyZTCY6nc6V1DT1ej3Oz8/v3Z5qtRrFYjFyuVx8/fXXUavVbpxVUCgU4uuvv56OUE+SJPL5fFSr1Xu35SbdbjdOT0+j2WxGxOdR9oPBIGq12o2j/NPpdNRqtfj666/j+fPnkc/no16vb6xdtVotOp1OtFqtqNVqt6Yguot0Oj1dZ6PRiEqlcqeZHsPhMJ49exYRn2eM3LZcqVSKXq935bVyuTw9NzelWCxGuVye/jz5bIuOWzabvXKuT86vfD4f5+fn8fz581uvl8fkpnvAoc2kuGnGxIsXL3bXEAAADpLABADAljSbzWlqoYjPndqr5MGfr1PQ7/fvFZxoNptRr9ejUChEp9O5c5qjdDodvV7vSid8vV6/8tk2qdlsRj6fn/5cKBSi1+utlHZo0tlfKpWiWq1uLDgxqbtRKBSiUqlEr9fbSP2NyTonx3w0Gt34eScd+JlMZqV9k81mr52D+Xx+Y8WT51NdtVqtO+2fUqkUlUpl+nO3250GLW4yuT4ymUy8e/duzVYfj5v25adPn3bYktvdFPA6lJo1AADsj8AEAMAWNJvNK6PGJx3Zq6pUKldGi/f7/bUCAsPhMMrlcmSz2Wi1WisvHxHx8ePHK8GMdru98ZkT9Xr9yn67T3sjIhqNRhQKhahWqxuvDTGxSpHrTa13cg58/Phx5fUuqhPy9u3bldczb34fT4ItdzU/G6bf7996zCqVSozH4xgMBhuZvXLoMpnM0iDUbUGcXfvqq68Wvp7NZhW/BgBAYAIAYNP6/f6VzvV0On2vzvX5keDtdnvl9DuT9txnVPkkTdKser0+LeZ9X/OBjkwms1bH+7xJGqFtpZ/aVof4svVOjn+r1Vq7g/fVq1dXfp6kzFpXv9+/Nitlnf09v0yxWDy4FEX7tizYs+mUXPe1rD0XFxc7bgkAAIdIYAIAYMPmZzTcd0R9Op2+NttilVkTw+Ewut1uFAqFe3eib2u0/XA4vPaZGo3GxkZW3ycwtC9Pnz5d+Hq1Wo1SqXSvYzmbKivic2qo+wSY5gMK6XR6rXQ9pVLp2mvbmpFyrGaDnrOSJNlYSq77Gg6HS9uy6BgDAPD4CEwAAGxQuVy+MsI7nU5vpCNuvjMySZI7pyaa1BR48eJFdLvde3dezn+edrt973XOd5Rns9mN5qHf9Pr25f379zEcDu89+2NROqB1axRMAl+z7rOv5wMuzWbzYDrcD8GkzskihzJrYlk7crmcNE4AAESEwAQAwMYkSXItJc6mRgcvyi1/10Lak07CarUa+Xw+Tk9P71VvYT6IMLuNdbTb7Wvpet68ebP2+pbZVrHuXWq325HL5VYqBL7Ios7hdTv/F51LL168WGtdERHPnz+/9tqHDx/WXt9DtCww9f79+x23ZLFlM5S2lU4NAIDjIzABALAhizrdNplPfT63/F1nPyzK0V8sFtfuiF7Ucbys0O1dLEoDtErR5Ltalhrp2CxL5bOKRftiMBista5FneH3STN1fn5+7bVer7f2+h6iXC63cB9vq8D7KpIkWRiozOVyD2LWEgAAmyEwAQCwAYtmS0RstjDyolHod5mpsCwAsW7qnkWj7dctUNxsNq8tq/PyZps4pxYdw8vLy7XWtejY3ycItGjZdc/Vh2xZ7Y19ByeWzW5RKwQAgFkCEwAAG7CoM27To/4XdUjfZabCspzu9+k8nl/nurMvFqWjWpQqis/S6fS90zht2qJjf586ApsMfD1ky2ZN7Dud06I0TsvaCgDA4yUwAQCwAZ1O59prm+5AXrS+u8yYWFSvIZPJ3KujcD6osc5o+yRJot/vX3vdjInlDi0owX69e/fu2mv7nDGxLI2T2RIAAMwTmAAA2IBFnXFnZ2cb3846MxUqlUrUarXpsoVCYWEgZdeWBVV0vi93iHUyNllIe9myzonFstnswkDeorRyu7Bou4VCwWwJAACuEZgAALinfr+/s87UdWcqVCqVGI1GMR6Po9VqHURH76KUM4fQrkN2nxRJ27KoGPq69SqWLeu8WG5ROrRFr+3Cou0umtUBAAACEwAAdzAcDhemHZr8bpFtdKZuqrbDqpIkme6Dbrd7r47niUX7TQf0zQ5xxsSiY3afmhCDweDaa+qOLJfJZK6lSur3+zuvy7Fom7MztQAAYNZ39t0AAIBjUCwWI0mShZ2myzrpt5HKaduGw2F0u93o9XoxHA6nj23YdNFk9qNcLl9L4dPr9dZe36IA4KtXr9Ze32NQqVSi0WhcuVZrtdpOZ07MbyuTyUSlUtnZ9gEAOC4CEwAAd5AkydLR/IuCFRERrVZrm02KiM105Lfb7Xj//n10u91rwYJcLheFQiHOzs7i+fPnkU6nI5PJxNnZ2b0DFouWP8QZAdwsm81GNpu9ElC4S1H2ZeaXzeVyAlZ30Gg0rsws+fDhw04DE/PBqX2lkwIA4DgITAAA3MFwOFxawHVZOqVCobDFFt1PkiTx9u3baDabV9qfTqejVCrFxcWFgrXc2Zs3b6JYLE5/nsy0WTU116KAxnyaIhabBBHb7XZEfL7G2+32Tu5D80GJQqGwsCg3AABMqDEBAHBHD6H+QZIkUSwW4/T0NOr1+jQokclkotFoxGg0ilqtJijBSgqFwrUO8Gq1uvJ65pcplUrOxRXMF5p++/btTrY7PztCwWsAAG4jMAEAcItJipovv/xy4e+X1ZLYVWHqu+p2u/Hs2bPpiOqJRqMRg8EgSqXSnlrGQ/Du3bsrwbt2u720YPwi8+/P5XLSAa0onU5fmWGyiyLYw+HwynFT8BoAgLsQmAAAuMWkY2/ZjIllnXDLimLvQ7PZjHw+fyVYkslk9hqQWLTfDmmfsZp0Oh3lcvnKay9fvrxTgK7f719JBZXNZndSo+UhqlQqV+5V2w7uzK5fwWsAAO5KYAIA4BZfffVVRCwPQCwLWBzKjIlms3mtwzidTkev19treqpF2z6UfcbqkiSJarV6Ja1TkiTx7NmzazUIZtXr9Tg/P5/+XCqVotfrGXV/D7PBgvkZUps2e2wFkwAAuCuBCQCAW0wK8i7rxF/2+iGM/u/3+9eCEhERHz9+3HvH76L9dgj7jPW8fv060ul0tFqtaLVa0el0IpvNRpIkUS6X4/T0NPL5fJTL5SiXy5HP5+P09HRaVyKXy0Wv15O+aQNyudy0+PR8qqVN6na702BioVDYeD2Q4XA4rYlzenoa5+fntwZaJrPDTk9PI5VKxdnZWRSLxa2ntAIAYDUCEwAAt5h06j19+nTh7zOZzMJO9m11Bq5iNj3ORKVSOYiCwvl8/tprOg+PU5Ik0W63r6QFmwQaBoNB1Gq1eP78eQyHw2g2m9FsNmM4HMbz58+jVqvFYDCYBjLYjNlaE+/fv9/KNmZnSMxubxP6/X6cnZ1FkiTx7t27qNVq00DFontHt9udBrqy2Wy8e/cuOp1OVKvVSJIkzs7Otj57BACAuxOYAAC4wWS2RMTyVE4RMU1dM2uSAmpf2u32wo7+TXcg3kW5XL7WKfjq1atr70uSRDqnIzRJ53NxcXHtd5O6A51OJwaDQYzH4xiPx9NgxHxNBBbL5/NXUl7dJpvNTu9L2+qQ//DhQ0R8Tr+1yjGczGK4ycuXLyOXy0Wn04lCoRClUinevHkTEZ/vy5OZNhER1Wo18vl8vHnzJkajUdRqtSgUCpHL5eLp06fT+2CxWHR/AQA4EAITAAA3mKSVuS3t0bIRvPu0KCXOogDKOlZNudRsNqPT6Vx5LZ1OL+zM/PTp073axu7dVoeF+8tms9Hv91fqWJ8EIbeRzmm2LasEO5MkieFwGC9evFj6nnq9HkmSXKtZMTujpl6vR8Tne0u9Xp8GuWa12+1raZzcXwAADoPABADAEpP0NBHL60hM5HK5a+/Z9uj/er2+MCAy2faiwMiiehPr2NTnWtSe+QDGpqhfsT2TTm+j0bdn0pG/Ssd6JpOZ1prYdKB0kh6qUCisFJCatP+mtF1v376NUql063on9Upardb0c85aFJxdlpIPAIDdEpgAAFji7du30+d3SVMym1pkYpLiZhvevn27tLN9Wefl8+fP773dRZ3P63ZIz49wjthe2hmd5tszOQ/VCNmeSUf+qjMfJvelTQf8JoGOVYOdk3YsuxdNCmovup/OX8PNZjNKpdKdZ4Jls1l1TAAADoTABADAAsPhcJoqJOJuo2wX5VmfDW5s0qTzblFO/4jlHcSbSLWz6ZHX88GJ4XC4lQ7ufdf8eMgm5/22iizz1/t41QBDLpeLdDq98eu23+9fmZGxynLpdHrpvajVakUmk1kYDJ6/htPp9MJZERO1Wi2y2Wyk0+koFArx8ePHldoKAMD2CEwAACwwnyLp7OzsTsvN51pPkmQrsyYm2ymVShtf923W7Xxe1hH55s2ba7/bdIHu2bRcbN6kE7ndbm+8lgF/LZvNrhVgmNwnNnVsJm1Yp2ZNt9u9ceZWt9tdGuyY/+y33Sey2Wz0er0YjUbRarXUQAEAOCACEwAAc/L5/LUR+3ft0CoUCteCBZvuZG+329HtdqNWqy1t17LUU/dNZzTp4J/vOLypfsNkm19++eXC36fT6WtFbpvN5kZTL21r5gqfzQbyXr58KaXTlqxbL2JyfDY1a2Iya2PZjK1lJttflk5pUhi7WCwu/P18YGUfgVkAADZDYIIHr9/vx+npqbzSAEdo1/fu4XAY5+fnCzvv7lJjYqLRaFzpeLupo21VSZLE69evI5PJLKzPMHFT/vb7qFarkcvlruV/v6nQ9yRocVNwJ5fLXetkfP369b3aOtHv96Nery/cvoLYf+0+19urV6+urOf8/Dyq1aoAxYZNCmAvqr9wk0lAY1PpzCbHddV6DZMg7fyMtIlJbZxFMybmgxKrppACAOCwfGffDYBtajabKxfkA+BwDAaDha9vI2DRbrdvDB7cpcbErFardWXmRbvdjnq9fmMw4S5evnwZSZJEr9e78X2TnOrz6Yvevn27VvqViM9BjWazGYPBYOH+GA6HCzsqJx2Kt3UkNhqN+PTp0/T97XZ7Wtx2XcPhMF6+fBmZTCaq1eq1vwuWnWOr2GQx8FmLgiab6uhf1L77BGkmuf4n+zdJkqjX61fqtNy2fMTn62xSX+Ds7Cyy2awO6BmzBbDPzs4il8vF+fn5ne5P6XR6Y+fPpL7EXdKjXV5eRq/Xi263O93+ssBpLpeL8Xi88HeToMXEsuAGAABHYgwPxGg0Gvd6vXGr1RpXKpVxOp0eR8T0MRqN9t1EAFY0fy+fPAqFwkbWPxqNxo1GY5zJZBZu577/j4xGo3E2m72ynkqlsnZ7c7ncOCLGrVbrTu8fDAYLP8s6bRgMBuN0On1l2UKhcKf15nK5cSaTufO2Jp9z8uh0Oiu3dzwej3u93jidTo8zmcx4NBqNW63WtX2xSruWqVQq19abTqfvvd5SqbTw+A0Gg620OSLGvV7vXuudP3abeuRyuXGj0bj3596HWq125bPc13324ybOy321Yf5+c99zdVWbPo4AAI9dajxeMiQFjky9Xo9qtRqZTCay2WxcXFxEp9OZFhwdjUYK3gEcoOFwOB1FmyRJXF5exmAwuLXGQKFQiIuLizvf2yfrTpIkvvrqq+j3+yuNHr7Pn0z5fP5KCqVcLrdSIdZutxvlcjmGw2F0Op2VRpD3+/04Pz+/9nqj0bjzTIRutxv5fD4qlcqVehnD4fBaUfDBYHAl7dVkJkqr1VpppkaxWLwyGrtWq60022Tyd0E2m42PHz9GOp1eOismm83GmzdvIpvN3pqyq9vtTs/L4XAYX3311dJR45lMJgqFQpydncXTp08jnU7fWNR3dr2dTmdp2q10Oh2lUunKeiezDO7b5nQ6Ha9evZqOwk+n0/H06dOVUvaUy+WtFHyftK9Wqx1VbYHJuThx369f5+fn9ypivYmvf6lUau1lc7nctEbFKuZTs+76a+ymjyMAwKO3x6AIbN3saEAzJgAO0/wo1EN8bGKUcavVujYDpFQq3Tj6vdPpTEegZ7PZtUfKDwaDazM34v8/Cv2mdQ4Gg+ko5VqttvA9i45fpVIZNxqN6bKlUmmtdnc6nSv7LJvN3jp7otVqTT/r/HYXzZhY9lg2K2Ub59FoNLr3OXrTPr7vuleZodRoNBaea+l0euFj3TZls9mj+dtu0yPtl82kuevjvu57vq47Y2v++O+aGRMAAJulxgQAwC1WrS+xSKFQiEKhEPV6PRqNRgyHw2g2m9FsNqcj3p8/fz6d1TEZLZ/JZFaeLTAvk8lEr9eLdrsdb9++nY627na70zz12Ww2zs7OIkmSGAwG03zwhUIher3e0hHzlUolMpnMlZkIs3UF5mdZrCKXy8VoNIpqtRrNZjP6/X7k8/np7MgXL15EOp2ezoKZzAzI5XI3tvm+Zush3MVdazesut7Juu9Sz2Kb6464Opp8MquhUCisVDQ+4vPMpsksqskxXTQ7YDITqNfrPboZsfl8fu0ZKasej0Um96t161VMCnivYn72kLojAADHTyonHrRqtTrtHJHKCYBD0u/34/3799OUUpNO4ElKnkwmE+VyeSud68PhMLrdbvR6vWkn8GT7k07HXC4X5XL5zh2ZSZLEhw8fpkW5z8/P49WrVxv9v7ff70+DOpPHJNVQJpOJfD5/Y2f4JJXT7DKT5+l0Or788svpz7lczt8Nd5AkSRSLxWnHcaFQiFartfFtfPjwIWq12rXO8Gw2e2sh+H2TAuj+5lO7rZrSbhMcRwCAzRKY4EETmAAA2I4kSeL8/HwaLLjP7Ji7WlS/YtX6JbumQ/v+5utL7OPvescRAGCzTvbdAAAA4Pi8fPlyGpTIZrNbD0pEfC7aPr+d2c5iHp7hcHglKDGZ6QQAwHETmAAAAFbSbrev1H7YdPqmm1QqlSspziapyXiY5muMqC8BAPAwCExwZ8ViceMj0trtduTz+Tg7O4vT09M4PT2N8/PzqNfrdy62CADAbr19+3b6PJvNbqSo8irmZ00sKpDNw9DpdK78nM/n99QSAHgchsNhVKvVOD8/j9PT00ilUnF6ehpnZ2dRLpc3NiBEnyACE9xqkj+43W5fKzi4rn6/H6enp/H69esoFovR6/ViNBrFaDSKWq0W79+/j9PT02l9CAAADkOSJFcCAfsYwf78+fMrPw8Gg523gd349OnTlZ/NmACA7UiSJMrlcpydnUW73Y5cLhe1Wi06nU7UarXIZrPRbDYjn89HPp9fe2CIPkEmBCZYqt/vR7lcjtPT042OQqvX63F+fh6ZTCZGo1GUSqUreWJzuVz0er2oVCpRrVajWCxubNsAANzP5eXllZ9fvHix8zak0+krfz/Ot4mHY/Z7yPxxBwA2o9vtxunpaQyHwxgMBjEYDKJWq0WpVIpcLhelUilarVYMBoPIZrPR7Xbj/Px85cwq+gSZJTBBRHyOitbr9SiXy5HP56fTp7rd7kZHJXW73ahWq5HJZOLjx483vrdWq0WhUIh2ux3lcnljbQAA4GF5+vTpvpvAFsynijBbAgA2r9/vRz6fj0ajEZ1O58YUnZP+vEkwoV6v33lmgz5B5glMEBF/nT/uw4cPERFRKpWi0+nEYDDYWHQySZLpulqt1p1GO7179y4iIprNpqKGAAAHYP7L6ldffbWXdszmHj47O9tLG9gu9SUAYPuKxeJ0dsRdpNPpePPmzfTnarV6a+p3fYIsIjBBRHwuWjgej2M0Gk1zx216RFK1Wo0kSSKbzUY2m73TMul0OiqVSkSE6VsAAAdi9u/Edru98+03m80rPxtJ/zCZMQEA29Vut+Py8vLO/XQThULhys+1Wu3G9+sTZBGBCXYiSZLpF8iLi4uVlp28P0kSEVIAgAMw++VzOBxeCxRs22w+41wut/KXaY7DfH2Jm1JLAACr63Q6kSTJNK37bTMfJub/T76pv06fIMsITLATkxRREbHyF8fZ998WgQUAYPuy2eyVkXLlcvlKJ/I2FYvFK2mcGo3GTrbLbs2fT2ZLAMDmzQYikiRZaSbsbHDipoCGPkGWEZhgJ2a/MK4z0mmSe67b7V75IgoAwH60Wq0rncUvX77cenCiWCxe+cJ8W4FGjtfl5eWVn1cdYQkA3G7+76i71H6YmP2/+qbl9AmyjMAEOzH7JXWdm9DsMp8+fdpImwAAuJ9OpzOdOZEkSZyfn28lrdNwOIzz8/NpUCKdTken0zGK/gHL5XKRy+Wm+aXnc1kDAPdXq9WmsxJyudydC2BHxJUgwU19ffoEWUZggq2bzw27jtmbUKfTuW+TAADYkFardWUkXLlcjrOzs43kAU6SZLq+yd+UhUIhvv76a0GJR6DT6cRoNJK6AQC2JJ1OR6/Xi/F4vFJ/23zqpmV/l+kT5CYCE2zd7JfSdafazy63q/zFAADcTalUitFoFJVKJdLpdAyHw2kRxWq1utLfb5Ni2pPlJzMwcrlc9Hq9aLVaa3+xBQDg/uZrUZTL5YXv0yfITb6z7wbw8A0Gg+nzp0+frrWOL7/8cvr8poI6AADsRzqdjlqtFrVaLdrtdrx//z7a7XbU6/Wo1+sR8fmLZTabjadPn06DC0mSxOXlZSRJEp8+fbqSFiCbzUYul4tyuayWBADAgXj//v30eaFQWPp3mj5BbiIwwdbNF667r1VuQrNfbC8vL42uAwDYgUKhMK0J0O/349OnT9Hr9eLTp0/R7/engYiIzwGNyRfVXC4XmUwmXrx4Ma0vAADA4Wi329OZC5lMJt69e7f0vfvsE+TwCUywdbM3jXW/XN51uckX3MvLy+j3+/Hhw4fp78rlclSr1chkMtMvv77sAgBsVzabnRZVBADgeCVJEq9fv46Iz0GJTqdzY9/aLvsEOT4CE2zd7KyFTa5z/sbU7/fj/Px86TLdbvdabrvZKWUAALBpvkw/DI4jAI9dkiRxfn4eSZJELpe7UyHqXfUJcpwEJjhKi9IyZbPZGI/HO23Hv/t3/y7+9b/+1/Fv/+2/jS+//DK+853NXlLf/e53N7o+AAB2a/bv0y+++CJ+/vOf77E1rMtxBFjNL37xi42u7z/8h/8Q33zzTfytv/W34r/+r//r+Bt/429sdP3z2/rLv/zLra0/YvP7Z+K73/1u/O2//bc31j81HA6j3+9Hp9OJZrMZmUwmGo1GlEqljax/HVK1PxwCE2zdJvLJrVsgZ9v+9b/+1/Frv/Zr+24GAABH4Ntvv43vf//7+24G9+Q4AuzXn/3Zn8WLFy+2tv6//Mu/POr7/M9+9rP43ve+t/by9Xo9qtXqtdcLhUKUy+XI5XJ3XtdD7hPk/k723QAeFzcTAAAAANb1b//tv913Ex60SqUS4/H4ymMwGEQ+n49qtRqpVCrK5fLKaZr0CTLPjAl2at1I6fxyh3Iz+8//8/98+vx/+B/+h/hbf+tvbXT9m07l9Itf/GI6w+PP/uzPpIoCbuSeAazCPQNYhXsGPGybTlX0P/6P/2P8N//NfxMREV9++eVG132T/9OTk/hPt7De//eGU5H/fyKi9cvtpTfPZDJRKpWiVCpNZ1R8+PAh3r17F4VC4U7reGh9gtyfwATcw2zOvl/91V+911S5Xfvud797VO0F9ss9A1iFewawCvcMeHi2eU1vur7nTf7TiPiVVGrj6930Ov9qPI6I3dRdrVQq8c0330S9Xo9isXjnQtgwTyontm4bkUxFbgAAAABg92q12rRvrtvtRrFYXPg+fYLcRGCCrXPDAAAAAODYfCc1PprHrr1582b6vN1uR7vdvvYefYLcRGCCrZuNjq5aGGfRcm5qAAAAALA/87UlqtXqtffoE+QmAhNsXSaTmT5ft9DNLEVuAAAAAGB/Zvv7IiKGw2EMh8Ol79EnyDyBCbbu7Oxs+nzd6OhgMJg+n7/xAQAAAMCmnaQinhzB42SNWtpJkkS1Wo1yuRz9fn+t/TPfRze/Hn2C3GR3Zex5tLLZ7PT5utHR2eVm1wcAAAAArOb8/Hw6w6HZbMZgMFi5438+tdJ8v58+QW5ixgRb9/z58+nzdaOjs1PBXrx4cd8mAQAAAMCjlCTJtbRLi4pX32U9s+ZTLekT5CYCE2xdOp2+EtGcv/HdxewyuVxuI+0CAAAAANZLkzQ/C2J+HfoEuYnABDtxcXExfd7tdldaNkmSaVQ1l8tdmyYGAAAAAJv2ndTxPFYx37dWKpWiUCistI7Z/rrJOhelWtInyDICE+zE7M2t0+mstOyHDx+mz4vF4sbaBAAAAACPUaFQiEKhEOPxOBqNxsrLzwcZXr16tXQ7E/oEmSUwwU5kMpnpjWjVnHWtVisiPkdeS6XSxtsGAAAAAI9JuVyOdru9VnqliLgWzKjVagvfp0+QZQQmuNXstKx1C9VEXL1B1ev1Oy0zHA6nEdh3796tvW0AAAAAWMWT1PE8VpXL5aJQKEQ+n1+5v6/f71+ZMVGr1W5Ms6RPkEUEJrjV7DSrT58+rb2eTCYzjaZWq9U73fTK5XJE/PX0MgAAAADg/lqtVqTT6Xj27Nmd6z8kSXIlrVKhUIhKpXLjMvoEWeQ7+24Ah6P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gp9OJwWAQxWJxI9tIkmS6rlarFel0+tZlJlOmms3mxoIjAAAAAMBuVavVewcjJtLp9I19i5VKJWq1WuTz+SiXyzfWsq3X65HP5yPir/tEebjMmDgw2Ww2xuPxVrdRrVYjSZKVCsek0+moVCpRr9ejWCzGaDRa+t5+vx/v37/fVHOvyOfzd4quAgAAAADX9fv9ja1r2WyJWZVKJTKZTFSr1Tg9PY1cLhfZbDZevHgRl5eXMRgMotlsTrPG1Gq1lVI/cZwEJh6ZSaqoiIiLi4uVlr24uIh6vR5JkkS3210aINhGPYyJJEkEJgAAAABgTfuYiVAoFKJQKES73Y73799Hu92Oer0eEX9dKLtcLuv3e0QEJh6ZSYqoiFi5cMzs+2u12o2BCfnfAAAAADhmqZNUpJ48zBoT+zIJUIAaE4/MbMDgLlOt5k1yxnW73RtzwgEAAAAAwCICE4/MbA65dQITs8t8+vRpI20CAAAAAODxEJh4RGaDEpOZD6uaDUzsIx8dAAAAAOzESepzOqcDf8QRpXKCCYGJR6Tb7U6frzNbYn652UAHAAAAAADchcDEIzIYDKbPnz59utY6vvzyy+nz4XB47zYBAAAAAPC4CEw8IpeXlxtd3zEEJmYLdG/68wMAAAAAsLrv7LsB7M5sIGHdGhPrLrcrk0DE5eVl9Pv9+PDhw/R35XI5qtVqZDKZ6YyRQ/88AAAAAOzHyZNUnDw5/PoNx9BGmCcw8YjMzh7Y5DoPpXO/3+/H+fn50t93u91rdTZm01sBAAAAALB9AhPcy+Xl5cEEJrLZbIzH471t/xe/+MXG1/m9731v4+sEAAAA2Kaf//znG13fNvpcgP0SmHhENlFjYd2i2Y/Br/3ar218nfsMtAAAAACs4/vf//6+m7ARqSepSB1BmqRjaCPMU/z6kRJgAAAAAABgH8yYeKTWnT0xv5wAx1/7sz/7s/jud7+772YAAAAA7NXPfvazja7vF7/4xVYyVQD7IzABG/Ld735XTQgAAADg0dM/AtxGYOIRefr0aSRJstF1HkrhawAAAADYpFQqInVy+PUbUoffRLhGjYlHRBABAAAAAIB9E5h4RGbrQaw7c2J2OYEOAAAAAABWJZXTI5LJZKbP1y1+PUvhawAAAAAeqtSTVKSeHH6epGNoI8wzY+IROTs7mz5fd8bEYDCYPp8NdAAAAAAAwF0ITDwi2Wx2+nzdGROzy82uDwAAAAAA7kJg4hF5/vz59Pm6MyaGw+H0+YsXL+7bJAAAAAAAHhmBiUcknU5fmeUwG2S4q9llcrncRtoFAAAAAIdmUmPiGB5wbAQmHpmLi4vp8263u9KySZJMZ1rkcrlIp9MbbBkAAAAAAI+BwMQjUygUps87nc5Ky3748GH6vFgsbqxNAAAAAAA8HgITj0wmk5kGJ9rt9krLtlqtiPicEqpUKm28bQAAAABwKFInJ5F6cgSPE128HB9n7RGZLVi9bvHqiIharTZ9Xq/X77TMcDicpn569+7d2tsGAAAAAOBxE5g4IrOplz59+rT2ejKZTDQajYiIqFardwpylMvliPicCmo2HRQAAAAAAKziO/tuANc1m83p8yRJYjAYxKdPn6Lf7195/fT0NF69ehVnZ2dXClG/evXq1sLUpVIpBoNB1Ov1ePnyZXz8+HHpMtVqNbrdbuRyuWk6JwAAAAAAWIfAxAFaNIshnU4vDBx8+PDh2ntzudytgYmIzymdXrx4Ea9fv45nz57Fu3fvrsyG6Pf706BEpVK5kgIKAAAAAB6y1JNUpJ6k9t2MWx1DG2GewMQBGo1GO9vWJDVTu92ORqMR1Wo1Li8vI+JzyqeLi4totVp3CnQAAAAAAMBtBCaICLUjAAAAAADYDYEJAAAAAIB5R5LKKY6hjTDnZN8NAAAAAAAAHg+BCQAAAAAAYGcEJgAAAAAAgJ1RYwIAAAAAYE7q5DhqTKRODr+NMM+MCQAAAAAAYGcEJgAAAAAAgJ2RygkAAAAAYE7qSSpSTw5/XHfqyS/33QRY2eFfWQAAAAAAwIMhMAEAAAAAAOyMwAQAAAAAALAzakwAAAAAAMz5XGMite9m3OoY2gjzzJgAAAAAAAB2RmACAAAAAADYGamcAAAAAADmnaQijiFN0skRtBHmmDEBAAAAAADsjMAEAAAAAACwMwITAAAAAADAzqgxAQAAAAAwJ/UkFakjqDFxDG2EeWZMAAAAAAAAOyMwAQAAAAAA7IxUTgAAAAAAc1JPTiL15PDHdR9DG2GesxYAAAAAANgZgQkAAAAAAGBnBCYAAAAAAICdUWMCAAAAAGDeSSriSWrfrbjdyRG0EeaYMQEAAAAAAOyMwAQAAAAAALAzUjkBAAAAAMxJPUlF6ghSOR1DG2GeGRMAAAAAAMDOCEwAAAAAAAA7IzABAAAAAADsjBoTAAAAAADznqQinhzBuG41JjhCR3BlAQAAAAAAD4XABAAAAAAAsDNSOQEAAAAAzEmdpCJ1BGmSUieH30aYZ8YEAAAAAACwMwITAAAAAADAzghMAAAAAAAAO6PGBAAAAADAvCepz49DdwxthDlmTAAAAAAAADsjMAEAAAAAAOyMVE4AAAAAAHNST04i9eTwx3UfQxthnrMWAAAAAADYGYEJAAAAAABgZwQmAAAAAACAnVFjAgAAAABg3kkq4klq36243ckRtBHmmDEBAAAAAADsjMAEAAAAAACwM1I5AQAAAADMe3IkqZyOoY0wx4wJAAAAAABgZwQmAAAAAACAnRGYAAAAAAAAdkaNCQAAAACAeWpMwNaYMQEAAAAAAOyMwAQAAAAAALAzUjkBAAAAAMxLpSJOjiBNUuoI2ghzzJgAAAAAAAB2RmACAAAAAADYGYEJAAAAAABgZ9SYAAAAAACY9yQV8eQIxnU/UWOC43MEVxYAAAAAAPBQCEwAAAAAAAA7I5UTAAAAAMC8J6njSJN0DG2EOWZMAAAAAAAAOyMwAQAAAAAA7IzABAAAAAAAsDNqTAAAAAAAzDs5khoTJ0fQRphjxgQAAAAAALAzAhMAAAAAAMDOSOUEAAAAADDvyZGkcjqGNsIcMyYAAAAAAICdEZgAAAAAAAB2RmACAAAAAADYGTUmAAAAAADmnaQ+Pw7dMbQR5pgxAQAAAAAA7IzABAAAAAAAsDNSOQEAAAAAzBk/ScX4yeGnSTqGNsI8MyYAAAAAAICdEZgAAAAAAAB2RmACAAAAAADYGTUmAAAAAADmpVIRJ0dQvyF1BG2EOWZMAAAAAAA8ct1uN4rFYpydnUUqlYpUKhWnp6eRz+ejXq/HcDjcyHba7Xbk8/k4OzuL09PTOD09jfPz86jX65EkyUa2weETmAAAAAAAeKT6/X6cnZ1FPp+PJEkil8tFrVaLSqUSmUwmut1uVKvV6Xv6/f7a2zk9PY3Xr19HsViMXq8Xo9EoRqNR1Gq1eP/+fZyenka9Xt/wJ+QQSeUEAAAAADBn/CQV4yeHnybpPm1sNptRLpejVCpFrVaLdDp97T1JksTr16+j3W5Ht9uN8/PzaeDirur1elSr1chms9Hr9a79PpfLRa/Xi2q1GtVqNb766qtotVprfy4OnxkTAAAAAACPTLvdjnK5HJ1OJxqNxsKgREREOp2OVqsVjUZj+tokgHAXkxkXmUwmPn78eON7a7VaFAqFadt4uAQmAAAAAAAekeFwGMViMRqNRuRyuTstUyqVolQqTX+u1+vRbrdvXCZJkigWixER0Wq1lgY/Zr179y4iPs/m6Ha7d2obx0dgAgAAAADgEalWq5HL5a4EGu5iPt3T69evb91OkiSRzWYjm83eaRvpdHqaJmoS1ODhEZgAAAAAAJh3ckSPFSRJEu12+86pmGal0+l48+bNtXUt206z2YyIiIuLi5W2M3l/kiRmTTxQAhMAAAAAAI/Ehw8fIp1O3zmF07xCoXDl5/fv3y/dzsRdZ0ssen+tVltpWY6DwAQAAAAAwCPR6/UiSZJIpVKRz+cjSZKVls9kMlfSOfX7/YXvmy2WnclkVm7nZBvdbnflNnL4BCYAAAAAAOaMn0SMn6SO4LHa5xoOh9Pn3W433r59u/K+efr06cL1zZoNWKwTmJhd5tOnTysvz2ETmAAAAAAAeCRmZztELA8s3MdsUGJ+e3c1G5jodDr3bRIHRmACAAAAAOCRmC9EXS6XV17HbDBj0WyI2YLV68yWmF9uWboojtd39t0AAAAAAAB2o1AoRK/Xi263G7lcbuXC1PMzLBYtPxgMps9n0z6t4ssvv1y6TY6fwAQAAAAAwLxUKuIkte9W3C61ehuz2ezKAYmJ+dkL+Xz+2nsuLy/XWvcyAhMPj1ROAAAAAADcSaPRmD5Pp9NRKpWuvWc2kLBujYl1l+M4mDEBAAAAALAjP/9//a8bXd8vLv/9Rtd3k+FweKV+RK1WW/i+JEk2vu0kSQQrHhCBCQAAAACAOeOTVIy3kMrp2f/xzze+zl2ZnS2RyWQWzpbYlsvLS4GJB0QqJwAAAAAAbjQcDqNer09/brVaS9+7iRoT6xbN5jiYMQEAAAAAsCPD/8t6RaeX+cU3/z7+d//n/8dG17lIsVicPm80Gncuni3AwCICEwAAAAAAO/K9//x/s+8mrKzZbEa/34+IiEqlslIKp3VnT8wvJ8DxsAhMAAAAAADMGZ98fhy6bbex3+9HuVyOiIhSqbS04DWs4gguLQAAAAAAdi1Jknj58mVEfJ4pMVv8+ibbmN2g8PXDIjABAAAAAMA1L1++jCRJolKprDRTQhCB20jlBAAAAAAw57Gncsrn89Hv96NWq0WlUllp2dkZE0mSrLX92eUEOh6eI7i0AAAAAADYlXK5HN1ud62gREREJpOZPl+3+PUsha8fHjMmAAAAAACIiIhqtRrNZjMajUaUSqW11nF2djZ9vu6MicFgMH0+G+jgYTBjAgAAAACAaDabUa/X7xWUiIjIZrPT5+vOmJhdbnZ9PAwCEwAAAAAAc8YnqRg/OYLHSWojn7fb7Ua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9giAIVKvVlMlkVKvVGBzcEPQTuEk8HVuxWFxoezcdV8uuaTKpj9nUYxtAsghMAACwITzPk+M4arVaqchBv6mDGeSsxSbyPE/5fH7dzcAGoQ/FqhWLRXW7XXW7Xdm2fe33jUZD2WxWlUpl4885dhX9BKTR9EqLBiWkq+DDpADEycnJwtsfNulY2dTVQACS9dy6GwBgu/i+L8dx9PjxY/m+L9/3FQSBTNOUYRgyTVMnJycL58WcRhAEOj8/V7vdjtoiKWqHbdsqFApjL9TWwXEcPXr0KHrPfN+XYRg6ODiQZVmJvG/hfn3f1+XlpXq9XvSzy8tL+b6vcrmser0+0zbD54bbevPNN0f+f3l5qbOzsxtPtMP3x/M8XV5eKgiC6LM8ODhQoVBQuVxO/CTX8zw9evQoei3S1TF2dHQk27ZvnXXkeZ6azabOz8/HXnyWy+Wl53qd1cHBwdi2beogxqSLeC6AcJNV9H+hVquV2pUSw3+bwn57E/reNKEPxbpZlqVOpyPf91Wr1a7Nvm61Wmq1WioWi3rw4MHSZ0zjdvQTmMTzvJHjYFnnExcXFyqVSnJdV9LVZ3d2drb073+v1xv7c1ZMAJAITABYEsdx9PDhwygnpWEYun//fjTjotfr6cmTJ3IcJ7oYsm17bA7cRQVBoNPT02g/lmXJtm3lcjlJ0uPHj+W6rhqNhhqNhgzD0IMHD9Y2qP3w4cORC8R4e8P3rlQqSbrKH/zgwYOlt7VUKl27UF1UEATKZrMLbaPVakWpBmzbjt6bMLjhuq48z5PruqrVais7roYFQaCHDx+q1WqNXJhZlhUNZIbv5aTjK0yl0Gq1ZJqmyuWyTk5OoouBRqMR/T6fz6tcLq/s9dzGNM2NvTCOu2lmIWkHbhd+Z8OgaCh+7A4LZ8IdHh6q0+lM3ObwduLbHrfNIAjUbrdvnRkYrkQY1+bh7YbblKR+vz/ympbd/4WDCI8fP77WT4wT9u/Tsm177Hu9TPG+9/DwUCcnJ2vte9OKPhSbwjTNaMJOvV6/Vgw7PE+3bTv6XiMZ9BOYZHiCkmEYS/teGoahTqcTTSJb1d/vMPARVygUVrI/ACkzALAWzWZzIOnardlsrrtpM+n3+wPbtqP2m6Y5aLfbEx/f6/VGHi9pUK1Wl9aedrs9kDQwDGNQrVYH/X7/xscahhG1wzCMQafTWVpbbtLv9wflcvna+9Dr9W58TrVaHRiGca2tvV7v2rF00+cwTrFYHHtMxm+zfF79fn+qbY5rb7/fH1iWNZA0qNfrN36W475Pq/ouxfdVLBbHfm7dbnfkWB/+zLrd7sAwjBu/L8P7sCxrJa9lWvFjdfh20+eyDuO+C6voa7bVLN/Z+M227aVvc5p+rNvtzrzd+HG77P5v3te76Ht9m3GfRbyv3NS+N2n1en3kdS2CPjQdlvmZp8XwueW4z9yyrJnPJ3cJ/cR29BOb/t0f/n6m8f2ddKwAwGAwGLBiAsDcHMcZmeU5TcoZ0zTV6XRG0lo0Gg25rqtut7tQe2q1mhqNhmzbVrvdvnVFQbFYlG3bOj4+lud5CoJAhUJB1Wp1rlQd03Jdd2SGiGVZarfbt85SMQxD9XpdDx48UKlUUqFQUL1eV7VaXUq76vW6KpVKNOM/TJu0iPhMnF6vN9XsYd/3lc/nZZqmer3ere9NuVzW4eHhSP72SqUSpexalvis6k6nM3H7YdqE8FgPjy/btuW6biIznpflprz4vu9vVMqHm46to6Oj5BqSUoZhqN1uS7r6bDudzsSZbtJVn14sFnV0dDTxezq8zcvLS7Xb7Ru3Oby9ab6/pmmqXq/f2tZwJV+4umLYsvu/m77bnU5HjUZj5GfVanWmmYOrmpG6qX1v2tGHYlOF55b1el2NRkMPHz4cOQY8z1OpVJJpmqrVamtdvbnt6Ccwjuu6I+/3sus/rNqk87Jl1MkAsCXWHRkBdlXaV0zE21+v12feRnx2yiKzwsP2FIvFuZ4fzg4Nb/Nu5zbjZtvPK5xZVa/Xl7JiYpz46hYtaaaOaZoT29vv9wemac51PIz7Xi1rlll8RvUs72+1Wp35WA+/H6ZpDrrd7iJNX9hNM+M2rc+K9yurOBZ2zaS/V4v02Z1OZ+w2F+23Jm13nuN0Vf1fuLJv2f31NG5aMbGpfe+6LHMGLX1oOmz6rOmkNJvNsedp0tXqz9tWUu0S+ont6Cc2+bs/fP1hmua6mzOzSStS131tA2Bz7AkAZhQv4lksFueatV+tVkdmS4Szsmbl+74qlUq08mAeFxcXIzNoHcdRrVaba1uTNBqNkfdtkfZKV/lGi8Xi2CKGy7KqlSM3bTc8Bi4uLmbe7rg6IQ8fPpx5O3Hx99i27Zlm+tTr9ZGZx57n3fqZVatVDQYD9Xq9tc+SM01z4szpTVv18fjx47E/tyyLgoxzKpfLY2e/L1J8cdJ3aNEZdLZtX+tf2u32XLN8V7lybhNtYt+7LehDkSblclm9Xk+dTufa+UdYHyubzUY1aLAc9BMYZ/h6YVlFr5M07nrHsqy1X9sA2BwEJgDMxPO8kZOi4RQd8zg7Oxv5v+M4N6biGCdsT3xbswiXsg9rNBoLpzIKxQMdpmnONfgTF6aAWnYQJbSqk8ZJ2w0//2lScU1y//79kf/HCzvOyvO8a2lX5nm/488plUqpKXIoTR4wnvX7umqT2pO2pe+bZtwxv+iA1LgL7GUMcg0HIcrl8tzBjl26aN7Evnfb0IcibWzbVrfbVbfbHRucbjQaymazqlQqqTqf2WT0ExgWH9RPW/qj+PVTaJFrdgDbh8AEgJnEVzQsOqPUMIxrqy1mWTXh+75c11WxWFx4EGlVMz5937/2mprN5tJmFC0SGFqXSfnRw/zFi3yW8TztQRAsFGCKD8gahjFX7vRxM7bTNCN70iytIAg2Zsak7/sT20Je7MXYtn2tz7qtptA82zw/P19om5JGtrloG3dBEAQ6PT3duL5329CHIq3Cmlm9Xm/swGir1VIul1OpVOI7vyD6CQwbPoexLOvWuk+bZtx19DKu2QFsFwITAKYWnxFlGMZSTkDjJ+FBEEydmig8YTs6OrpWHGwe8dfjOM7C24wP1liWtdSioMve3ro8evRIvu8vvPpj3En7kydP5tpWGPgatsh7HT8Rn6YQ+Ka4qZjtpszkm9SOcQPgmF18Rrzv+wvPko33ucsItIZtYoBkOo8ePYrSsyximX3vNqIPRdqZpql2u61erze2f3UcR/l8Xvl8fmOO6bShn0AoCIKR9zptaZwajca1axzDMFgtAeAaAhMAphIEwbW0DMsa9BmXU3XaWa7hCVutVlOhUFA2m12o3kI8iDC8j3k4jnNt4O7Bgwdzb2+SeWpzbBrHcWTb9sKzgcZdFM07+D/uWDo6OpprW5J0eHh47WfLmCGelEkDl48ePUq4JeNNGtReVaqzXTOun1n2ioRlBJjDPjttF/Hr4nnexvW924o+FNvANE01m031+31Vq9Vr333P81QoFJTL5VZWA22b0U9Aun59EJ8csskmTTSL13QEAInABIApjTu5WGYe0fjS8GkHp8bN1i2VSnMPhowbOJ5U4G0a49IArSI/6KTUSGmzjIHEce9Fr9eba1vjLgIXWX6cz+ev/azb7c69vaTZtj329W/CwEN8ZlnItu2tWFG0CcbNhlz0sx/3/EWDdWGdBFIFTG/T+t5tRR+KbRLWZ+v3+6rX69f+PoSpTLPZLDVnZkA/AWl04kfaVqOMm8jSbrc5LwMwFoEJALcat1pCWm5h0HGz0KdZqTApADFv+ohxJ33zpipptVrXnstJ+82WcUyN+wwvLy/n2ta4z36RINC456Yt1cmkuhjrvmCeNJidpjoeaTAundO8OcUnpYJaZBVGOGhCGqfZbFrfu83oQ7GNqtWq+v2+2u32tdVXQRCoUqkom82qVquxkmoK9BO7LX5ulaYVoK1W69p5YbVaTV3hbgDJITAB4FbjTkKXfXIxblBkmpUKk2aPLDJ4HN/mvBdQ4wbXxqWKwhXDMDauqNu4z36RGUvLDHyty6SZfOtOMTAutcCktmJ+42bBzfvZh31kvK/0PG/u70X492qZK/q23Sb2vduMPhTbrFgsqtfrqdPpXDt2giBQo9FQNptVpVIhQHED+ondFj8vSsugfhiEHFYsFglcAbgRgQkAt+p0Otd+tuxBjHHbm2bFxLh6DaZpLnSCHA9qzDPjMwiCsbOIWTExGQNj6TGucN06Z/FNSi3AhdDyLTOdk+M4sixL5XJ5adsMZ+sySDI9+t7k0Ydi29m2rW63q263O/bct9VqKZvNqlQqpW6CRlLoJ3bX8OecphWgx8fHI/+3bXtiTRIACBGYAHCrcSehuVxu6fuZZ6VCtVodyWtbLBbHBlKSNimowgDQZJtYJ2PZxVzHPTeNx4RlWRMHGtZh3H6LxSKD0yuyjHRO4aqIcGVDfJvzzAoNB03SMrNwU2xi37vt6EOxKyzLUqfTUa/XG9s3O46jXC6nQqEwd1rAbUU/sZviq0bHrVTdRJVKZeQ7bNv2RlyTA9h8BCYA3MjzvMQGU+ddqRDmtR0MBmNz267DuEG1TWjXJtvEom7jiqEvkjN93HPTelyMS1W2SG2ARYzb77iZhliOcbmOZw0khI8PZwLGtzlPOifSOM1nE/veXUAfil1imqba7bb6/f7YGeCu6yqfzyufz7OCYgj9xO4Zfp8Nw0jFavtGozESuCIoAWAWBCYA3DjbddLFwSoGU5dV22FWQRBE74Hruksp1jnufUvrAHRSNnHW7rjPbJEL5l6vd+1naa07YprmteX7i9QGmNe4fQ6vosLyWZZ17f2ddQZnq9Ua2c64bc6asqLZbJLGaQ6b2PfuAvpQ7CLDMNRsNtXv91WtVq8dZ57nKZ/Pr6dxG4h+YvcM13ZMQxon13VVq9Wi/29K9gIA6UFgAoBKpdLEZaKTBulzuZwymcxSb6tewu37vlqtliqVigqFQvQastmscrmc8vm8CoXCUgIiyy6ajPUYNzO82+3Ovb1xx3g8hU2aVKvVa8GbpHMNx2fwmaaparWaaBt2Ufy4nVRXZ5xwJV78+xW/AJ9lVmi4f9I4IU3oQ7GrDMPQ3bt3192MVKCf2B2u645cQ276ClDf90fGEIrFIjUlAMzsuXU3AMD6BUEwcTb/uBnekhI56VjGQL7jOHr06NG1Ez3paplpsVhULpfT4eGhDMOQaZrK5XILz0Qa93xmpaaPZVmyLGtkwHWaouyTxJ87rpBw2jSbzZFVH+fn54mmGYjP1F9XioNdU6lUxr7307z/4WPiwY2TkxM1Go3o/77vy/f9qVabhW0ZF0wENhl9KHZJEAR6+PDhSF8/LEz5hFH0E7th+H3d9BWgQRAon89H19cEJQDMi8AEAPm+P/HEZ9LqgU2elRpe9LRarZH2G4ahcrmsk5OTjT7Rw2Z58ODByGygWQZLh40LaCQ9420VwgBfmHYnCAI5jpNIHxG/UC4Wi6nIxbsNwtRLw33stAMl5+fnY1M3WZYl0zRHArvNZnOq78mjR49kmiYp85A69KHYBb7vq16vT0z7F6Ys2uTri3Win9gNwyksN32ixfHxcXQOWC6XCVYBmBupnABI2o76B0EQqFQqKZvNqtFoRCdLpmlG+Wzr9TpBCcykWCxeu/AbzqU6rfhzyuXy1hyL8eKHDx8+TGS/8YsgijAmK556KQiCW1cUTUrjFIp/16apMxHWCNr0i3hgEvpQbCvP81QqlZTL5cYGJSzLUqfTUa/XIyhxC/qJ7RY/39nk+hKFQiFaTU5QAsCiCEwAOy48qZiU5zWXy439eVKFqafluq7u3bt37aSu2Wyq1+tt9MkdNt/Z2dlI8M5xnJlqosQfb9v2Vp3EG4YxMqs9icKM4WB0iCKMyRuX+/i2ZfyT0jiF4sGF+Oc8TtjvM6iFtKIPxbZxXVeFQkH5fH5sgLlYLKrb7arb7TL7fkr0E9tt+Lpg3KrSTVEqlaJJKNVqdauuZwCsB4EJYMeFJ7STVkxMOimaVBR7HVqt1rWi1aZprjUgMe5926T3DLMxDOPagOnwEuabhLMFQ5ZlbWUO1nhxxlVfqMTz8FKEMXlh6qVh5+fnNz7n/Pz8xtoq49IxPXr06MZtNptN0jgh9ehDsQ0cx1E+n1ehUBi7gq5cLqvX66ndbm/NqtEk0U9sp/iK001dAVqr1aJAY7Va3YqUtADWj8AEsOMeP34saXIAYtJAz6asmGi1WtdO3gzDULfbXesg1bh9b8p7htkFQaBarTaS1ikIAt27d29ivmRJajQayufz0f/L5bK63e7GzoJa1PAF7DQpeBYx/L5vY6AnLeKrFG5K5+S6bpRy7ybxPv2m71hY82VTL+JXpdVqKZfL8Xdly9CHIq3CPqlUKo1d5VatVtXv96NAMuZHP7F94uc5k1aVrlOr1YqK1hOUALBMBCaAHRcOIE26SJj0802Y/T8pp/jFxcXaB37HvW+b8J5hPqenpzIMQ+12W+12W51OR5ZlRbnys9msCoWCKpWKKpWKCoWCstlsVFfCtm11u92tX+5s23aUkmGaFDzzCge4pauB8bTMunQcJ6qDk8lklM1mlc/nbxx433SzpHMKf37bBfe4YMekYyn8Tu1aGqcgCOT7Pn9Xtgx96M22sQ9Nu0ajoWw2q0qlci2tUJh6aDAYkAJoibaln/B9P/o+h9/l2wIt4Sr5sA8Ig2GrTmm1asMrQ4vF4sZ9VxzHia656/U6QQkAS0VgAthx4cnswcHB2N9PSo+xqpPgWYybdVutVjfiArtQKFz7WdpPmndVEARyHGckLVgYaOj1eqrX6zo8PJTv+2q1Wmq1WvJ9X4eHh6rX6+r1elEgYxcMX6zcloJnXsMD36u+OApngS7C930VCgWVSiU5jhNd6IcD7pVKRfl8PpWz32dJ53RbGqfQuL87k4J6juOMbQOQVvSh121zH5pG4SrSTCajWq127X03TVPNZlP9fp/UPyuS9n7C87xo1d/Z2Znq9XoUqBh3DeW6bjThx7IsnZ2dqdPpRMdfLpdb+eqRVYkHl8ZN+Fin4ZS09Xp9ad/pWq0WTeACsNsITAA7bDjdxk0DReNmooYpoNbFcZyxA/3rmMFRqVSunQyPmxEcBAEXzSkUzsQcd6EQ5tvtdDrq9XoaDAYaDAZRMCKeCziNwuKV07IsK+ozVnWRGA58l8vlmd7fcGbdtFzXVaVSWejCyXEc5XK5iemNQp7n6fj4eO79rNM06ZymTeMUiq+GGxfsCAt/btpFPDCMPpQ+dFuEafOy2WyU0mVYWENrnTXe0mrX+onj42PZtq1Op6NisahyuawHDx5Iuuo3hvuMWq2mQqGgBw8eqN/vq16vq1gsyrZtHRwcRNeDpVIplddZ8YkXm7QC1Pf9qF9dZlBCUjSRCwAITAA7LDwRum326qSZK+s0bvbssk7kZk2N0Wq11Ol0Rn5mGMbYk/gnT54s1DYk77Y6LNvOsix5njfTxV4YIFxFioHhtswSiAxT3xwdHU39nEqlIsuy5h5gcV135OLcMAyVy2U1m001m81rgSvP81I5429cSr14Hx3+f9q8ydMEO8JZopt0EQ/E0YfSh6ZdOGM6l8uNTZsVDjB3u1364zntUj/RaDQUBMG1tI/DK4vDwFdY1yCc7DMsTO02PLidxuus4T5rkwJ6QRBEK9GWHZQIJ+ulffIWgOUgMAHsqDA9jTS5jkTItu1rj1n17P9GozE2IBLue1xgZFnFT5f1usa1Jx7AWBbyjK9OeLGXxllYyxBeXM5ysWeaZpT/eNlBzOHB6FmCRWH7p02p1Wg05Pv+3MUePc+L+rCwPklY+LNcLqtcLkepvoYv9h4+fDjX/tZpXOql+OCg4zhTpXEa3mb8s4p/FqRxmpyGEZuDPpQ+NK1c141m8o8L+BSLRXW7XXU6neh4xXx2qZ94+PChyuXyrdsN67a12+2xx9e4SWpp+5sYrvwMzbIibdWOj49XEpSQvpfeeJZAN4DtRWAC2FHDF27TDOqMW4a/ymKDDx8+nDjYPumk/fDwcOH9jht8nndAetxJ3Kpm8u3qoHkSwuNwV5cbhxeXs87GC/uMZQfjwovvWQORYTum7ScePny4UCqu8OLStm09ffr0xlmk9Xo9usCOX6SmxbjXF/Z34b+zfmbxFE3D6ZzSnMZp3GDMrMHlXq+3pNZg1ehD6UPTxnEc5fN5FQqFsQPe5XJZvV5P7XZ7Z+pnrdqu9BNhWsdx15Xxa5lWq6VyuTz1KhzLslJ3PA4HVwzD2JgAX6FQkOd5qlarK6kTEx5fuzyxBMD3EJgAdpDv+yO5YaeZXTIuv+iqZqWFJ62TBpwmXXAuI9XOsmccxU/mfN9fyQXzumt+bLPwuF9VccFNF77+WS96w9nxy/5OeZ43MktwlucZhjFVP9FqtaJZYvMIZwoXi0V1Op2p9jncxy47JUMSxg1ehN+ZeVMuxVMaDK+WC7e5SWkPpjXub+6sweXw78iupphLE/rQ2e1iH7oJwkLlpVLp2ntoGIaq1Wq0aoUBxeXalX6i3W6PXWUpXb+WMQxj7KqIUL1el2VZMgxDxWJRFxcXM7V1EwxPuNiU85lSqSTXdVWtVldWuzH8rNMWSAKwGgQmgB0UT5GUy+Wmel785CQIgpWsmgj3s44TtHkHnyedgD948ODa75Z9kjeclgvLF148OY6zs4MdlmXNddEbfoeX9b6FbZgnh7XrulPP9A1ThcwjnAlo2/bMKUzCGYRpnO07KZ1T2D/NMwvQMIxrF63hIEWr1YoGJNJm3IDMm2++OdM2Li8vGRhMEfrQ6e1qH7pOjUZD2WxWlUrl2ntnGIbq9XpUdDiNfW5a7EI/4bruxPOB+Gu/7XrJsix1u131+3212+3UHZvhRLzQslISL6JWq8lxnJUGJaSr1562zwvA6hCYAHZMoVAYe9ExjWKxeO1Cc9knLY7jyHXdGy9+Jg3GLJrOaNIA2k0pNsJ93r17d+zvw7zIw8KZhMtCPuXVGg7kHR8f7+SAx7w5jMP3blkz+cKZhLOm7wn3P83MrLCI5LwXiLVabez3fhrhxfysg9SbYtx7dnp6OvF382wz/BsRBMFGXMTPwzCMa3/HZh1Q8n2fmYYpQh86vV3uQ5MUBoCy2axqtdq181LTNNVsNtXv91eSygXXbXs/ERbGnlRHIf53cFNWEKzK8GqQSatIkhQWGg/r96xKOGllGSmYAWwHAhPAmiRdE8D3feXz+bEnrbOcCDWbzZETzptOMGcVBIFOT09lmuaNF0E35S1dRDhDL5739KZC32HQ4qbgjm3b106uw8G6RXmep0ajsZSc5dtske/b/fv3R7aTz+dVq9V2KkARFqcblxP4JuFF9rJSjYXv+awDsuEFVny12Dhhiop5Bn3DVWRnZ2dzzQQL9zkp0LnpbqozMc/MS2n0+xcKBzzH/S4t4u/HLAVPPc+7Md3hJqH+0RX60Onseh+aBN/3ValUlM1m1Wg0rn1HLctSu91Wr9fb+oHhTbPt/UT4d27ciol4UGJTai2s0vBq93VPtHAcR5VKJboODq99572FqYvDQLXrunIcR7VaLboGXncgBsDmeG7dDQB21aTClau4iHcc58bgwTQ1Joa12+2RlReO46jRaCw8o+r4+FhBEKjb7d74uDCXaDx90cOHD+ce/HJdV61WS71eb+z7MWl2angifdsJdLPZ1JMnT6LHO44TFXWbl+/7Oj4+lmmaqtVq105ql1EcdZnFwIeNC5osa6B/XPsWCdKEOW7D9zcIAjUajZE6Lbc9X7r6noUzonK5nCzLSs2F13BRxlwuJ9u2lc/np+o7DMNY2mcb5jyeJnXZ5eWlut2uXNeN9j/N7KxWq6UHDx7M1b6HDx/Ksqy5+6FQWi/WwsHI+ADDIu9HWAxyOPAc9serTgOwqv5PuhqEGO5DwvoZ0/QJ4SzLed7XNPW924Q+dDq73oeukud5evjw4cTP3rbtKGc/1mPb+wnbtjUYDMb+Lh6cnyYImmbxVMjrDAJ6nheNE7iuO3WK50Xl8/lE9gMgBQYA1sIwjIGka7disbiU7ff7/UGz2RyYpjl2P8O3fr8/1/YtyxrZTrVanbu9tm0PJA3a7fZUj+/1emNfyzxt6PV6A8MwRp5bLBan2q5t2wPTNKfeV/g6w1un05m5vYPBYNDtdgeGYQxM0xz0+/1Bu92+9l7M0q5JqtXqte0ahrHwdsvl8tjPr9frraTNkgbdbneh7cY/u2XdbNseNJvNhV/3qi3yGpdxzCTRhm63u9CxYhjG3N/pweB7/doi21i3er1+7b2ftl+fpNlsXttmEt+ZVfV/ofjfGcuybn1Ov98fSBqUy+W59pnGvndd4sfyouhDb7fuPnTZn/km6Ha7N56/FIvFpXz/dxX9xHLaEP97mPTfjaS/+8PfSdu2V76/ScJr4EU+83lvaT7XBbBcmcFgQtgawMLCJYzS1UzCy8tL9Xq9W2sMFItFnZycTD0bNNx2EAR6/PixPM+badbMIt1AoVAYmckaFiuctu2u60bF9jqdzkwzyD3PGzvbYpaii67rqlAoXCvy5fv+tRkjvV5vZBZeuBKl3W7PNLuvVCqNzEKq1+szrTZpNBqq1WqyLEsXFxcyDGPiqhjLsvTgwQNZlnXrDMLhImy+7+vx48cTZ0uZpqlisahcLqeDg4NoVvM02+10OhPTbhmGoXK5PLLdm/KuztJmwzB0//79aPaZYRg6ODiYaXZgpVJZScH3sH31en1jUyfk8/mFCisu43Qjk8nM/VzbtqO8yZOE36152tpqtdRsNm9d8XWTsD/q9/upLQo4ru9c9LMPgkDZbHbkZ8t+j1bV/90kCALdu3dv5Hzgtr8H+Xxevu/r6dOnt77+bep71yHsD0KLHsf0oTfbhD502Z/5Ormuq1qtNvGYC/PIp/Vvzaagnxg1TT8xTjabHflbmPR3L8nvfvycZpbr1mW3I34OkqQ0n+sCWLJ1REOAXTFu5uim3ZYxu6bdbl+bbVEul2+cgdXpdKLZIpZlzT1bq9frXVu5oX85++SmbfZ6vWh2Tr1eH/uYcZ9ftVodNJvN6LnzzlrtdDoj75llWbfOHGm329Frje933IqJSbdJs5dXcRyFs3sXud30Hi+67VlWKDWbzbHHmmEYY2/ztsmyrLlWMa3apJnW094WteixNM1qqmKxOPfMNcuyFp7FX61Wp5o1v+mGvyfLWgW46tmFq+j/pjFutuK4Y7Xf70fvwTSzDLep712XZc+gpQ+92Sb0oduwYuKm1dLh6uBNPMdIK/qJ2fuJuPgq+HWcByX53d+UfmbcatQkbwAQosYEtp7neTo+Pp5qduEumrW+xDjFYlHFYlGNRkPNZlO+76vVaqnVakWzLg8PD6NVHeGMTdM0Z14tEGeaprrdrhzH0cOHD6NZRmGOTNu2ZVmWcrmcgiBQr9eL8qAWi0V1u92Jszar1apM0xxZiTCcEzy+ymIWtm2r3++rVqup1WrJ8zwVCoUoR/vR0ZEMw4hWwYSzU23bvrHNixquhzCNafOHz7rdcNvTzOJZ5bal0VlU4aqGYrE4cw7r4WJw4Wc6blZcuBKo2+1uVJ9VKBTmXi2yjHzfYV8ybw7lsKjkTTzPm3vmu+d5C894WyQ3+yY5OTmJju1lFWiuVCrR346baiYtYlX9301M09TTp091enoarTgIa9hYlqXDw0P5vi/XdWUYxswrC9Pc924b+tDJ6EMX12q1oqK1cZu+IhPfswv9RFx8JV9a6q/NK6wTJS1WgyvNNn3FJIBkkcoJW63VakUFa1kumBzP8/To0aMopVQ4EBGmhTBNU5VKZSUnJeEATrfbjQaBw/2HJ9u2batSqUx9Ah8Egc7Pz6P0Avl8Xvfv31/q8eR5XhTUCW9hugvTNFUoFG4cDA9TOQ0/J7xvGIbu3r0b/d+2bb4LUwiCQKVSKbpgKhaLarfbS9/H+fm56vX6tYtAy7IWSmmB2WWzWT148GDmYGmj0VCn05krfUEoTEESTxmXRkEQKJ/PyzCMpR7D+Xw+CjBvoyAIogD78N8B0zR1cnKicrlM352gbUrrk5S096Fp/cxrtdrIxJlQOAFoVwc/k5DWY2aTxFPczhqAX4akPsd4ustZ0wEDwDZixQS2Rnw28m11HLA6lmWtbSaEaZpLnxEW5t5eJcuyRmbQzKpYLHIxtEThwGoYLFhkdcxNwmOrXC5fq1/heZ4cx+GCJUFBEOjNN9+c+XnNZnPkgnYeYbA27UEJ6eq4XkXwYNsDdeGsZiCt6EPXY9zEhnq9vvUzz7Ed4ismDg8P19SS1Ru+1jMMg3N8AJC0t+4GAMvSarWUz+dVq9Xk+77Ozs5YsgxgLsfHx9GFfniBv2rNZvPafhYdqMFs5klfEAbFFxkAajQa0d8tAEgr+tD1qNfrsiwrSlHa7XYJSiAVfN8fmUgYrvjeVsMTkO7fv7/GlgDA5mDFBLZGtVq9tnT88ePHa2oNgLRyHGek9sOy0zfdpFqtRmnQpO+lJmOAIRmGYVybuXeb8/PzKN3OPDzPU61WU7FYJOcugFSjD12PsN4akDbxWmvbfL7red5IECZMNw0Au44VEwAADHn48GF0fx1pIeKrJsYVyMZq2LatIAhmKjzZbrfnvpD2fV/Hx8eSrn/uAJA29KEAZhGvK1MoFNbUktWLp3Ha1UAqAMQRmAAA4F8KgmAkELCOmVvx3LrbWuh3E52cnEi6SqE1bY0i13V1dHQ0876CIFChUFAQBGq32zuZFx3AdqEPBTCLJ0+ejPx/m1dMnJ+fR/dJNw0A30NgAgCAf+ny8nLk//MMlizKMIyR/LrxNmF1whUyQRBEs3Bv4jiOJM08IOa6ru7duyff91Uulyl+CGAr0IcCmMXwZKD4+e82cRyHNE4AMAGBCQAANtjBwcG6m7BTwqX2nucpn8/fOOs3TEEwy3L8RqMRzfK1bXtkaT8ApB19KIBpxOvRbPNqiUePHkX315EmFgA2GYEJAAD+pfiFwuPHj9fSjuGBnFwut5Y27CrbtqMl9p7nKZvNqtFojH1suCx/mgtMx3GUy+VUq9UkScVi8VpuZQBIO/pQANPYlfoSQRBEq8Ok76W8AwBcITCBqZVKpehiYFkcx1GhUFAul1M2m1U2m1U+n1ej0Zg6Ny0ALNPwjK3hC4mkxIuGbvMMsk3VbDZH3vdaraZMJqNKpRKlHfA8T0EQ3DjT1/d9NRoN5fN5lUol+b4vSapWq2q326t9EQCwJvShAG6zKysmhmtLSNSXQHr4vq9araZ8Pq9sNqtMJqNsNqtcLqdKpXLtOzwvxgTx3LobgM0X5on1PG9pOVw9z4tyz9brdd2/fz/KKem6rmq1mmq1mur1uqrV6lL2CQDTqNfryufzkq5OyFqtVqIXEcMBYNu2Z0pxgeXpdDoqlUojwalWqxUFjsIZvsMz4S4vL9Xr9eT7vjzPiwbRQoZhqF6vc1EKYOvRhwK4Sby+xLamNxpON2fb9tbW0cD2CIJAtVpNrVZLpmmqWCwql8vJNE35vq9OpxP9PbdtW/V6fa7rVcYEERkAE3S73UG5XB5Iim7FYnHh7dbr9YGkgWVZNz6uWq0uvM9wG5IG/X5/7u0A2C3FYnGk7+t2u2vZb6/XS2S/mKzdbg8Mwxj5XOa5lctl/g4BKRKer4Y3zCdNfSifOWbFMTOfbre79DGGRazqc+z3+yPbbbfbS9s2sAqdTmcgaWDb9o3Xob1eb2BZVnRsV6vVmfaT5JggNh+pnCDpKiraaDRUqVRUKBSi5VOu6y51WWUY+TRNUxcXFzc+tl6vq1gsynEcVSqVpbUBAG7TbrdH+r5w1dgqxWeWdjqdrZ09libFYlH9fl/NZnPmz8MwDJXLZXW7XTWbTWbJAdg59KEA4i4vL0f+v611F+LpWZeVfQJYBc/zVCgU1Gw2b70ODcfzwr/LjUZjYj2pOMYEEUdgApK+lz8uzIFYLpfV6XTU6/VUKpWWso8gCKJttdvtqS4uzs7OJF39UV9WDjsAmEan04kuIIIgUD6fv3aBsQy+7yufz0dBCcMw1Ol0tjbXblqVy2X1ej31er2Jn41pmlHh106nEw3GkY4LwK6jDwUQsm07SmtUrVa3dsB+OI3Ttr5GbI9SqTRTukTDMPTgwYPo/7Va7VoKxjjGBDEONSYgSbIsS4PBYKX7qNVqUZG7aS8wwpOVRqOhUqmkfr+/0jYCwLB2u61WqxXN0KhUKqrX69cKe85jOH9nqFgs6uzsjFmhGyzMrxre7/V6a24RAKQHfSgA6WoC0DaL18lhtjc2meM4ury8nHkiQLFYHKmPGF4nT8KYIMZhxQQSEQRBNPg261LN8PFBEBAhBZC4crmsfr+varUqwzDk+36U8q5Wq82U4iksph0+P+wXbdtWt9udeuYI1sf3/ehCk1m8ADAb+lAAu+DRo0fRfcMwWAmNjdbpdBQEQXSNetvKh1A83dNN43WMCWISVkwgEWGKKGn2i5Dhx9frdf6oA0icYRiq1+uq1+tyHEePHj2S4zgj+TRN05RlWTo4OIiCC0EQ6PLyUkEQ6MmTJwqCINqmZVmybVuVSoVaEikyfDJ8dHS0xpYAQPrQhwLYBcMrou/fv7/GlgC3Gw5EBEEgx3FUrVaneu7wSsibAhqMCWISAhNIxPByrnkG4AzDiKKjQRAwoxjA2hSLxShPrOd5evLkibrdrp48eSLP86JAhHTVdx0cHEi6WhVhmqaOjo6ivLpIn3a7Hd1nti8AzIY+FMC2C8csQqRxwqaLj9HNcp06XMz+pucxJohJCEwgEcOpTubphEzTjLbx5MkTIqQANsIs+TGxHYZn+x4eHq6xJQCQPvShALbdcAA2XFENbLJ6vR5NsrNte+oC2JJGgnA3jfUxJohJqDGBlRvugOaNag53XNteKAsAsJkcxxn5PzN1gO3F93v5Nr0P3bT2YPNxzGyHZX+Ow2mcwlXWwCYzDEPdbleDwWCm8bZ46qZJwQLGBHETAhNYueGZUfP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2djZUKhUSExOhUqkAAFarFTabDXa7HdXV1TCZTDCbze41+68jiiKUSiX0ev2odkjs27cPaWlp7nWcTqdXPl+aGI4ePYo5c+YAAI4cOYLZs2dLHBERERH50uuOevy0+9/oxvnXjAmIwRNRa5EsmyxhZEREREShy5/nX/of64VPL8eUWRE+O5a3nDnWjVsXvQeA56eCQXNzMwwGA0pLSwec6+7fC1mtVmP9+vXIzs5GfHy8FGH6nN8SE8DA5ASAQQmKi7kw1P5JDp1OB71eD4VCMaqYqqqqkJWV5V6PiQkaDSYmiIiIJg672IGcjp3oQM+gOZUwGb+P+uaIX9cSERER0cgxMTE8JiaCV0NDA3bs2IGKigpYrVb3eP/3FRqNBuvXr8eaNWukCNFn/FLKqY9arUZNTQ3i4+MhiiIEQXAnF0ZyA+B+DtCbqNBoNKitrcWOHTtGnZQAMOAbTkRERETkSZ3z6JBJCQCwimdxUmzxc0RERERERBTM+ppm19fXe2yabTKZoNVqIZfLccstt4RM02y/JiaA3uTEwYMH3Q2x+ycoRnLr30fCaDSisrISqampY46nrKyMV7YRERER0UV1wzHsfA+485aIiIgolDghwCkEwQ08txkKRtI0u6yszN00++677w7qptl+T0wAgEKhQFlZGSorK5GZmTnkzog+/ccVCgV0Oh1qa2tRU1ODzMzMMR2/rq4OmzZtwsKFC2EymdzHVKvV4/7ciIiIiCg0LZFN8zgXjyjMEEa/e5eIiIiIiOhCF2uabbfbYTAY3E2zN2/eHHRNsyVJTPTRaDQwGo3u7uNarRZqtRoKhcKdiFCr1dDpdCgrK4PNZsOOHTvGtEOipKQEGRkZkMvl7t0WmZmZMBgMqK2thcvlQnV1tQ8+SyIiIiIKBXNlibgtLH3IufsjViJckPs5IiIiIiIiCnVarRaVlZVoamrCjh07oFarB1zMb7VaodfrkZKSgoyMDGzfvh0tLYFfZtavza+lVFFRAZvNhvT09HGVfiLqj82viYiIJhZRFPFXx3v4u+N92MQ2zJIp8e3wK3GlfL7UoRERERGFLKmaXz//6XJMmR0Eza+PduObi/YD4PmpiaK5uRkGgwHFxcXDNs3OycnBnXfeKUWIFzVhEhNEvsDEBBERERERERGRb0mVmPjjZ8GTmPjWQiYmJqqGhgbs2LEDJSUlsNvt7vH+SQqtVovc3FzcfPPNEkQ4NElLORERERERERERERER0dgkJydDr9fDZrOhtrYWeXl5UCqVA8o9lZeXIzs7G3K5HHfffTf27NkjddhMTBARERERERERERERBbvU1FQYDAbYbDYYjUasXbsWAAYkKQwGA7KyspCUlITNmzejrq5OkliZmCAiIiIiIiIiIiK6gEsQ4AyCm6tfyR6iPpmZmSgrK4PL5UJpaSk0Gg2A80mKpqYm6PV6pKWlYeHChdi+fTsOHjzot/iYmCAiIiIiIiIiIiIiClFarRaVlZVoamrCjh07oFarAZxPUlitVhQUFCAlJQUZGRnYuXOnz2NiYoKIiIiIiIjIh0RRxCtvncXPfvkpNm89gKf/fBjNLT1Sh0VEREQTjEKhgE6nQ01NDSwWC7Zt2waVSjWg1JPZbIZOp0NYWJhPyzx5LTHx2GOPISMjA9u3b0dLS4u3liUiIiIiIiIKajv+eAhbfl2PN961obquGbv+dhz/t/l9nLV1Sx0aERERTVDJyckoKChAfX09amtrsWHDhgFNs10uF3bt2uWz43stMbFlyxaYzWYUFBQgISHBveWDSQoiIiIiIiKaqMzvN2P3v08OGj91phu/faZBgoiIiGiknELw3IjGIzU1FXq93t00W6fTQavVIj8/32fH9FpiorS0FCtWrBi05SMhIQE33ngjXnzxRW8dioiIiIiIiCgo7Pug2eOc+X3Pc0RERERSyMzMxI4dO1BaWor58+f77DheS0xoNBrU1tbCYrFgw4YNSE5OdicpjEYjtFot5HI57r77buzZs8dbhyUiIiIiIiIKWKI4tjkiIiKiUOb15tfJycnQ6/Xu2lR5eXlQKBTuJIXBYEBWVhaSkpKwefNmnzbQICIiIiLyl6Ous3jF+R7edH6EZrFN6nCIKEAsXRw3pjkiIpKeSwBcghAEN+9/7tnZ2SgsLBzXGmlpacjPz4fJZBrxc0wmE/Lz85GWljauY1PgC/Pl4qmpqTAYDDAYDKiqqsKOHTtQUVEBAGhqaoJer4der4dKpcL69euxdu1an24PISIiIiLyNlEU8UfnHpQ633SPRSEc94etwefll0gYGREFgqvUSmReOxlVb5wdMK6IC8P3vjtfmqCIiIg8sNvtyMzMhNn2v6WSAAC77UlEQVRshlarHfdaxcXFKC4uBtBbcUetViMlJcX9GIvFArvdDqvVipqaGtjtdiiVSlRVVY3r2BT4fJqY6C8zMxOZmZkAgPLychQXF7uzZRaLBQUFBSgoKIBarcb69euRnZ2N+Ph4f4VHRERERDQmL7vMA5ISANCJHhQ5KvArIQ/JsmkSRUZEgUAQBBTcnYIlKZPw+ruN6Ox0QTUvBrdrZ2PalEipwyMiIgIAmM1mGAwGdxLBF0wm00V3T2g0GpSVlUGpVPosDgoMXi/lNBJarRaVlZVoamrCjh07oFar2TSbiIiIiILSv521Q4474ITJVeffYIgoIMlkAr5+03T88uGl+N22ZXjwrhQmJYiISDJ2ux1FRUXIz89HVlYWEhISkJaWBpPJBI1GI0lMKpUKBoMBRqORSYkJwm87JoaiUCig0+mg0+nQ0NCAsrIyFBcXw2q1AgCMRiOMRiOA3rpmOp0OK1eulDJkIiIiIgohp3ocePT4Wexv60CETAaNIhZ3T0tEpGzk1+/YxVaPc03DzBERERFRYHMJApyCDxo4eJlrlDFarVYUFhZCqVQiPT0dOp0OWVlZ0Gg0A6rceIPBYIDdbkd1dTWsViusVivsdjtUKpX7lp2dLVlCJFS0tLTAZrPBbrcD6E30BHo1IkkTE/0lJye7yznt27cPf/nLX1BSUuL+YpaVlbm38eTm5kKn02HFihWSxkxEREREwetEdw++8slhnOpxuMfea+9EdWsH/rhgNsJG+AZvppCIRvHckHMzhESvxEpERERE5C191Wv8QaVSMengI3v27EFZWRlMJpP7Qv8LabVaZGVlYd26dX6O7uIkKeV0MampqdDr9bDZbDAajcjLy3OXempqaoLBYEBaWhoWLlyI7du34+DBg1KHTERERERB5pFjZwYkJfq8ca4dpY3NI14nN+xaDJXCiEcMvihPH0eEREREREREA+3ZswcLFy5EVlaWu/pQ37nzC2/l5eXIz89HUlISdu7cKXXoAwRkYqK/zMxMGAwGuFwulJaWQqPRuL+wfU2zU1JSkJGRgZ07d6KlpUXqkImIiIgoCNS2dYxp7kKpshRsCstGPKLdY/OEKdga/i0kCXHjipGIiIiIpOOEEDQ3mhjuuusuZGVlDUpGeNL/Yn+dTocbb7wxYM6fB0wpp5HQarXQarVobm7Grl27UFxcDLPZDADuptl9NdHy8/OxZs0aiSMmIiIiokAlH6ZUk3yUb+4+L78UV8gW47RoR7ggx2QoIAuCesRERERERBQcMjIyYDabIYoiVCoV1Go1srKykJiYCJVKNeCxff0mqqurYTabYTKZIIoijEYj0tPTUVNTI3kPiqBKTPTp3zS7ubkZBoOBTbOJiIiIaFSujYvBoa6hSzZdGx8z6vXCBTlmCUnjDYuIiIiIiGiA1atXo7a2FhqNBoWFhcjMzBzR89auXeu+X15ejsLCQtTX10Oj0WDv3r2+CndEAr6U08UoFAoUFBSgvr4eFosFGzZsgEKhcG9TKSsrQ1ZWFpKSknD33Xejrq5O6pCJiIiIKABsmjUFl0RHDhrPSYrHl5UswURERERERNIrKSmB0WhEUVERKisrR5yUuJBWq4XFYkFeXh5qamqwfft2L0c6OkGfmOgvOTnZ3TS7trYWeXl57iTFhU2zN2/ezKbZRERERBNYvFyOvy6ai4KZk7FaMQlfSYjDr+ZNx2Nzp0NgGSYiIiKiCc8lCEFzo9DU3NyM/Px8FBUV4cEHH/TKmgaDAXl5eSgoKJC030RIJSb6S01NhcFggM1mQ1lZGbRa7YCm2Xq93t00e/v27QHT9IOIiIiI/CdGLsP3pyfh6ZRZ+F3yTKxNUjApQUREREREAaG0tBRqtdprSYk+BoMBycnJKCsr8+q6oxGyiYn+1q5di9LSUrhcLuzYsQMajcadpKitrUVBQQESEhJw44034sUXX5Q6XCIiIiIiIiIiIqKQYrfbUVxcjOzsbKSlpSElJQVZWVkoLCx09w6mgcrLy1FUVOSTtQsKClBaWuqTtUdiQiQm+tPpdKisrERTUxO2bdsGtVrtTlIYjUZotVrI5XLccsst2LNnj9ThEhERERERERERkQSckAXNLdAVFhYiLS0NdrsdmzZtQlVVlbuqjd1udycp7Ha71KEGFKvVipUrV/pk7dzcXEkTQoH/U+sjfU2za2pq3E2zk5OT2TSbiIiIiIiIiIiIyAusVivS0tIAABaLBQUFBVCr1VAqlQAAtVoNg8GAsrIymEwmJCcnc/dEPzabzWdrKxQKSb/WYZIdOYD0Nc3W6/XYt28fduzYgbKyMtjtdnfTbIPBAKVSifz8fOh0OsyfP1/qsImIiIh8ThRF1FpF1J9wISIcyEiRYc7kCXttCxERERHRuDUe7fLqevYT3V5dz5vy8/Pd/X+Ho9VqUVBQgKKiIqSlpaG2thYqlcpPUQYuURR9tnZzczMUCoXP1r8YJiYu0Nc022AwoKqqCjt27EBFRQUAoKmpyZ3AUKlUWL9+PfLy8hAfHy9x1ERERETe53CK2PaiA28ccLnHnpY5cc8Xw3BjqlzCyIiIiIiIgte986ulDsFv9Hr9RZMS/R9bXFwMu92O7Oxs1NbW+ji6wKdSqVBXV4cVK1Z4fe2amhqkpKR4fd2R4uVuw8jMzERZWRlcLhdKS0sHNM3u23qUkJCA1atXY+fOnVKHS0RERORVf37DOSApAQBOF/DEvxz47ITLw7OIiCiUdHQ48Nd/NOCJJ9/Dzj8cgMXaLHVIRER+4xIEOH1wmyj6zp+Ohk6nAwCYzWYUFxf7Iqygkpubi61bt/pk7aKiImg0Gp+sPRKC6Mv9ICGoubkZu3btQnFxMcxmMwBA+N8flISEBNTU1LDM0wRy9OhRzJkzBwBw5MgRzJ49W+KIiIiIvOc7v+3Ciaah57KvlmOdhptviYhCma2pEw9u+i8OHT7nHpPLBTz4gxVYlTlHwsiIaKLx5/mX/sd6/NAVSJwd6fVj2HxQyumnV9UBGP/Xp7i4GPn5+QB6yyuVlZV5I8QRM5vN7p4UKpUKFovFr8cPNFarFQsWLMC+ffuwfPlyr61bUVGBnJwcWCwWyc5l893kKCkUCuh0Ouh0OjQ0NLhLPVmtVthsNlitViYmiIiIKCS0dg43x2tbiIhC3eO/eW9AUgIAnE4Rv3xiP5ZekoBZMydJFBkRUXDzRbIjVKjVavd9q9UKk8kk6VX9UlOpVMjLy8PKlSuxZ88eryQnqqqqkJOTA61WK+l5bJZyGoe+ptn19fWora2F0WjEypUrpQ6LiIiIyCvmTfG8zXzuMHNERBT8HA4X3tl7asi5HocL71af9nNERET+54IsaG6hpH/Ta6PRKGEkgaGoqAgulwtqtRrbt28f8zotLS246667sGrVKgBASUmJt0Ick9D6qZVQamoqMjMzpQ6DiIiIyGvuuCEM8iFeLc5JEnDjCja/JiIKZT09LrhcnnfHdXU5/RgNERFNJEql0n3fZDJJF0iAUCgUqK2tRXx8PAoKCiCXy3H33Xdj9+7dOHjwIFpaWoZ8XktLC+rq6vD0008jNzcXCQkJKC4uhiiK7vWkxFJORERERDSky+bKsOW2cPz23w4caRQhE4ArFspw75fCEBPJHRNERKEsOjoMs2bG4tjxtiHnF6Qo/BwRERFNFImJie77drtdukACiEqlQm1tLbKystDQ0ACDwQCDwTDocUql0uPXTBRFKJVKlJWVYcWKFb4NeASYmCAiIiIij1bMl+HpuyPQ2SMiTAaEyZmQICKaKO65exk2PfTuoJ0T135uBtLVUySKioiIQl3/HRNWq1W6QAJMXzPw/Px8j2WYmpqaBnwsCAJEsff/uEajQVlZGRSKwLi4gKWciIiIiOiiosIFJiWIiCaYdPVUFD1yNS5ZkoCY6DBMnRKNb+QuxA8L0yAI/J9ARKHPKQBOQQiCm9RfqfOsVivS0nr/T2RnZ0sdTkgyGAywWCzIy8sbkMQZiiiK0Gq1qK2tRWVlZcAkJQDumCAiIiKicXrvOPD+8d77y2YCl8+UNh4iIvKe1OWT8dtfXit1GEREFCT0ej3MZjMAoLy8HOXl5dBqtWNer38jbDovOTnZXc6poaEBZrMZVqsVjY2NSEpKglKpRHp6OlJTU6UO1SMmJoiIiIhoTEQR2PEWUL5/4Lh2ObD+8wAvpiUiIiIimli8UXqp/xoX2xFAvUmK5ORkqcMYtQmbmGhpaYHNZkNiYqLkHciJiIiIgpHp08FJCaB3bOEUQLPY/zEREREREXmLCzI4g6ASviuAYuyfSFCpVNBoNKNeo39iIjc31xthUQAKnJ9aP6irq0Nubi7kcjkSEhKgUqmgVCohl8uxcOFCbNq0CXV1dVKHSURERBQUXvnM89yeYeaIiIiIiCg0ZWRkQKPRwGKxwGKxjHrHg9Vqhd1ud388lsQGBYcJk5goKSlBWloaysvLkZycjNLSUjQ1NcHlcsHpdKK0tBSJiYnQarVYuHAhXnnlFalDJiIiIgpobd1jmyMKJDWtHbj1k6PI2G9F1geH8NQJG5yiKHVYREREREFJq9XCZDIhMTFxTM83mUzu+2q1Gmq12luhUYCZEKWcKioqkJ+fD0EQsHbtWpSWlg56TGpqKlJTU7FhwwaUl5dj7dq1WLBgAcrKyjBv3jwJoiYiIiIKbMmJwAcnPM8RBbq3Wtrxrc+OwfG/PMTpHie2HWtEfWc3Hps/DQIbpRARERGNSl/5pq1bt0Kv14/6+f2fU1JS4s3QQtLBgwdhMplQW1sLm80Gu90OpVKJxMREpKWlQaPRYP78+VKHOaQJkZjYunUrgN4aZ0MlJS6k1Wqh0WiQnZ0NtVqN8vJy3HDDDb4Ok4iIiCiofCMNeN0CNHcOHFdE9c4RBbrNh067kxL9lTeeQ85kBa6Mi/Z/UERERBQwnEHSY8KbMfYvo9T//mjo9XqkpaUhIyMDWq12xM8rKipy95fQ6XTcLTGMxx57DFu3bh3R90ilUmHjxo248847fR/YKAT+b5YXmM1mCIKA9PT0ET9HqVTCaDRi5cqV0Gg02Llzpw8jJCIiIgo+U+OAJ9YCy2cCMqH3tnxm79jUOKmjIxpes8OJg109Huffa+v0OEdEREQUqoxGo/t+TU3NmNZQq9XQ6/XIzs4eUJppOCaTCYWFhQB6+0oYDIYxHTvU7d69G0lJSSgsLERTUxPE/5UgFUVx0K1v3Gq1QqfTYdGiRdi/f7+U4Q8wIXZMKJVKNDc3jynLVlZWhqysLOh0OiQmJmLNmjU+iJCIiIgoOM1RAr9cAzhdvR/LJ8RlLxQKImXDl2mKuMg8ERERUTArLi5237fb7bBYLKipqYHZbB4wnpCQgJycHKSkpAxoZJ2TkzNsY+uCggIAcJ9X1ev1Hh9fVFTkTkrodDomJTy466673N83sV9PNFEUoVKp3CWc+ko69e0+6XtsfX091Go1iouLA2L3xIRITKSnp6Oqqsr9zRit8vJyzJ8/H1qtFmazGcuXL/dyhERERETBjQkJCjZRMhk+HxeNt851DJoLE4Dr4mMkiIqIiIgCiUOQwyHIpQ7josYSY2Fh4aAyQEqlcsjkQWlp6aDHajSaYRMTQG9yQqVSobCwEAkJCdBoNFCr1cjIyIDNZoPFYkFxcTHsdjtUKhX0ev2oSj9NJH1Jib4kg1qtRm5uLrRaLZKTkz0+b9++fTCZTDAYDLBarRBFMWAuwBfE/umVEFVcXIz169dDEAQ4nc4xrVFeXo6cnBykp6dj7969Xo6QgtXRo0cxZ84cAMCRI0cwe/ZsiSMiIiIimhhEUURFdz1Kuz9Fo6sD8+TxyI+8HFeGTx/xGse6epDzyVEc7Xa4x2QAtsybilunKHwQNREREY2FP8+/9D/WT498AQmzo3x2LG9pOtqJn8x5DUDgnp8qLy/Hrl27YDab3RePq1QqqNVq5OfnQ6PRSBxh4KqoqEB2djaA3oSQXq9HamrqqNcxmUxYv349rFYrBEGA1WrFvHnzvB3uiE2IxAQApKWloa6uDkVFRXjggQfGtUagbHch6TExQURERCSNX3WYUdL1wYAxGQT8KuYLyIyYO+J1mh1O/OlMMz7r7IZSLsfXEuOwYlLgn4AgIiKaSJiYGF4wJCZo7BITE2G321FUVIQHH3xw3Ovl5+ejpKQEq1atwksvveSFCMdmQpRyAnp7RaSlpaGgoAAajWZM5Zjy8/Oxfv16FBYWMjFBREREPuV0idhdacPre1vQ3uFC8pxIfGvNFMydESl1aESSszqbByUlAMAFEQ93vIPrwmcjXBhZfTFFmBx3z0j0dohEREQUAlwQ4ETg1yx1gb2xQlVJSQnsdjuKi4uxbt06r6xpMBigVCrx2GOPYf/+/ZK1LQj83ywvUalUqK2txfz586FWq/HKK6+Meo3c3FwAQFNTE/bs2ePtEImIiIgA9JaoKSo5jqdLT+PTg504eqobb9Scw70/PwjrkU6pwyOS3AfOsx7nbGInjrta/RgNEREREZFvlJWVISsry2tJiT595aB27Njh1XVHY8IkJoDe5ITFYsG6deug0Wiwffv2UT1foVBArVYD6P2hICIiIvKFve+14tV3WwaNt3e68JvnTkoQEQWydpsNB/75D3z44ouwHz4sdTh+EX6RtzERQdCkkoiIiIjoYmpra6HX632y9rZt22AymXyy9khMqMREH4PBgOrqarz88stYuHAhXnzxxRE/V6VSQRRF1NTU+DBCIiIimsg+tnR4nPukoQMu14RoEUYj8NHf/oZHU1R4fs0a/DknG48tXIDXinzzxiWQpIdNRxSGTj4slCkxXYjxc0RERERERN7X1NSEFStW+GRtjUYDm83mk7VHYkImJgBArVajsrISL7/8Ml544QUsXLgQmzZtQl1d3bDPU6lUAODuHk9ERETkbfIwzzVi5TIBAkvIBh1RFHFaPAaL+CGaxDNeWfPE/v34y623oLv1fNki0eVC5Q9/iP0vvOCVYwSqKbJo/CLmcwi7oJ5yghCJothrIfCXhIiIiLzAAVnQ3Cg0qVQqtLQM3k3vLQkJCT5b+2ImTPNrT1QqFUpLS9Hc3IzS0lKsW7cOzc3N0Gq1yMjIgFqtxvz58wc9z263+z1WIiIimhjSlk7Cc38duoa+emksT7oGmVaxGS/gN2jAR+6xFeI1WIN1CBcixrxuzTPPwNnTM+TcO0/9DstvvXXMaweDmyKSMV8Wjxe7LWgUOzBXFo9bIhdjmoy7JYiIiIgoNKhUKlitVp/tmlAqlT5ZdySYTvsfhUKBvLw81NTUoKamBiqVCjt27IBKpYJcLkdGRgbuuusuVFRUSB0qERERhbhLUqJx+9cnDxqfPjkc3799ugQR0Vi5RBeexy8HJCUAoA5v4u/4/bjWPnfyxDBzE6MXySVhSdgccwW2x34B90anMilBRERERCElOzsbBoPBJ2vv2bMH6enpPll7JCb8jomh9CUp8vLyAAAmkwnl5eUwGo2wWq3uqxSTkpKQnp4OtVo97O4KIiIiotH65lenYPH8aLxW3YL2ThdUsyPxNU0i4mLZ1DeYHManOIzPhpwz4zXcKN6CWCF+TGsnJiePaY6IiIiIRsYFOZwe+loFElcQxEhjk5eXhwULFuDcuXOIi4vz6tqFhYUoKyu76OMqKiqwceNGfPbZ0O9rxoqJiRHQaDTQaDQAgMTERDQ3N0MURTQ1NcFoNA7qXq5Wq6FSqbBq1SrceeedUoRMREREISDj8knIuHyS1GHQONjR6HFOhIhm2BCLsSUmrlx/F6qffhqdzc0DxgVBwHUFBWNak0KPvc2FnS914YODTkAALk8Ow52rIxEfw5JwRERERMFg27Zt0Gq1ePnll7225qZNm5CZmTmii+xtNptP+i2zlNMoNDQ0uHtLlJWVwWKxQK/XIzMzE6Ioum9msxnl5eXQ6XS48cYbpQ2aiIiIiCSjQOKw8/EXmR9Owvz5uOM/LyFRpXKPRSmVyP3Tn7EgUzPmdSl0nGsXcZ+hHcZ9DpxoEnHCJuLl2h7cV9yGtk5R6vCIiIiIaAS0Wi1WrFiBjIwMnDt3btzr5eTkwGq1Ytu2bSN6vMVi8UkvCu6YGIXy8nL3/bVr1wIANmzYgA0bNgDo3dZiNBpRWlrqTmBUV1f7PU4iIiIiCgzzsBizoMIxDL7CaKoYjghhfNcJzc7IwH0fHUDjZ5/B2d2NpIULER4dPexznD09sB8+DHlEBBSzZ7OZegj786tdOGEbnIA4dlbErte68d3VkRJERUREREQj1dLSAgD44Q9/CEEQMH/+fGzevBmZmZmjXstkMsFgMEClUkGv16Ouru6iz7FarSguLvbJe4YJk5jYvXs3br755nGtsXXrVgiCAK1WO+T82rVrsXbtWuzYsQP79u2DyWSCWq0e1zGJiIiIKHjJBBnWiLfiGfEnaBci3OPxYjuSRBtq8AQ+J/xwfMeQyzFlyZIRPfajv/0Nf737LrSdPg0AmL7scuQ89xymLV06rhgoMH16zOVx7pOjTj9GQkREFJwckMMRBP0bgiFGGhulUjkgKSCKIgrGUbZVFEVYrVakpaWN6jkJCQljPqYnE6aUU2VlJTIyMrB///4xPf+xxx6D3W6HUqlESUnJRR+fmpqKDRs2jCl7RURERESho1l8H/PFU1C5TmKu6wwWuE5gjtgIGUQcFvdAFD2fPPYmyyt78OecbHdSAgBOvv8edmZp0HL8uF9iIP8KH+YcRfiEuUSNiIiIKHipVKoBLQQADPh4tLexPN9XJszL0R07dqC4uBg33HADbrnlFuj1+hF3Mt+zZw8KCgogCALKysoQHz+2BoVERERENPH0oB0CgGj0AOgZMOdEN1xwQI6IIZ/rTa888ghE1+AkSNuZM9hbUgzNTx72eQzkXxmLw1BnHXpnxBWLJ8xbQSIiIqKg1b+3g0qlgkql8km/B0+sVivMZrNP1p5Qr0Z1Oh1yc3OxZcsWzJs3DxkZGcjPzx+2xNOmTZtQVFQEACgtLcXKlSv9FS4RERERhQCloAI8XGgUj7mQC75PSgBAY329x7l6k4mJiRD09avC8X6DE+987Bgwfs3SMHzpinCJoiIiIgoeDghwBEHBGQfYMyxUqVQq7Nu3DwUFBdi6daskMWRlZfkkOTGhEhMAoFAooNfrodfrUVFRgR07diA7OxtqtRoajQYpKSkAgNraWphMJlgsFmg0GhgMBiQnJ0scPRERUa/OTgf+Uvop3nv/LABg+fLJuCV7MSIjWVuUKNDMxjWYBjVO4cIX8wLUsu955Rg9nZ3oaW9HdEKCx8Z0k6ZOQ8uxY0POHXnnHbyy5RHcsHl8/S4osMjlAh76RhRM+xz44FBvcuLy5DCsXB4GmYwnMIiIiIgCnUqlAgDk5+dLFsOqVauYmPC2vmbVzc3NMJlMqK6uRmVlpbuXxNq1a5Gbm4vU1FSpQyUiInLr7HTgvg2v45NPm9xjde+dQXXNKfyy6DpERDA5QRRIZEIYrpdtg1l8EgdFE3rQDgXmI1V2N2YJV41r7dZTp/Di+nx88q9/QRRFKGbPxpce/xWWfv3rgx6bkZeHv919l8e1qh5+GMtvuRWJ/3vzQ6FBJhOwKi0cq9K4Q4KIiIgo2CQlJUEURSQmJkoWg1KpRFNT08UfOEoTOjHRR6FQuJMUREREge4vpZ8OSEr0+eiADbvKPsXtt10iQVRENJwwIRpXCA8iQ3wAIlyQCeNPIHa3t+OZ1atx6sMP3GPNR4/ihZxsfPPFF7HkS18e8PiMdetwrLYGNTt3DrmeKIo4Wl3NxAQRERERUYDQarVQqVSS9jzWaDQoKyvz+rpMTBARAWi2t+GVyvfReLYFM2cl4vqsZYiOiZQ6LAoxTqcLL774CWpqjsPhcOHSS6fg1luXIjp6dFex9pVvGsr+984wMUEUwARBgADv7Gra/8ILA5ISfURRROWPfjwoMSEIAq7bUOAxMQEAsnBeVU9ERETUxwU5nF567eZLriCIkcYmOTlZ8vYCvoqBiQkimvA++egoHrxrJxrPnnOP/aG4Co8X52HGLOm2ylFocTpd+PGPX8V//3u+vntt7Um89dYR/PrXqxEb65/mt0QUOs58fGDUcwnJyUhauBCNn302aC48Ohrzr7nGa/EREZF/nGvpgOml93DiWBMmT4lD5o2XI2lynNRhERFRANi4cSOqqqrcHycmJkKtViM/Px/z58+XLjAwMUFEE1xXVw82fv/3A5ISAHD44Bn8+IHnUPLCPR6biBKNxr/+VT8gKdHHarXj2Wf343vfyxjxWsuXT0bde2c8zE0Zc4xEFFyih6kz62lOJpMh97nn8cyNq9Fpt58fDwvDzU/vxKSpU70d5oTW0iVCEIC4CL6WICLfOHLoLH6Q/wxOHre7x35f/Aoe/e23sfTyOdIFRkREAWHTpk3uxtn2/73+r6mpgUajQU5ODrZs2SJZbBMmMVFSUgKr1YqMjAyo1WrJM0JEFBjeMzfg1En7kHMfvX8Ex440Yvbcyf4NikJSXd1Jj3P79p0a1Vq3ZC9Gdc0pfHTANmB86aVJyNUuGlN8RBR8lq3V4tVHHoGjq2vQnPr22z0+b1ZaGr5XXYN3nvodGi0WxE2bjrQ77sDs9HRfhjuhHGgUseW/LljtvR8vTAB++DkZFiYwQUFE3iOKIn684YUBSQkAaLa3Y/P9f0LpPx9AZBRL9BGNh0OUwyEGfpmkYIiRpKFQKKBQKAaMpaamIi8vD+np6cjKysINN9wgSWwBkZioq6uDwWBATU0NrFarO3ujVCqhUqmgUqmQkZEBnU435kYfKpUKRqMRZWVlsFqtEAQBGo0GarWayQqiCaz1XOe45olGyuUablYc1VqRkXL8sug67Cr7FPv/t3Ni+fIpyNUuQkQEX5ASTRSTFy1CznPPo+w730ZPe7t7/NKvfx2an/5s2OcmzJ+Pm/RFFz3GqQ8+wCcv/Qc9HR2YpVZj0U1fhEwmG3fsoexQs4jvG13ocJwf+6wJ+F6lC898UYZZcUxOeIvLJaLyDRveO9AKEcCyxZOw+guJkMv4NaaJ4fDBs/js4xNDzp093YL36g4h46oFfo6KiIiCRXp6Onbs2DExExO7d+9GYWEhrFYrgN5sf39NTU2ora2F2WxGeXk5CgsLodFosH79eqxZs2ZUx8rMzERmZiYAoLm5GUajEaWlpdDr9e4yLYIgwOFwDLcMEYWY5JRpHufCw+WYPTfJj9FQKFu+fCpee+3QkHPLlo2+dEpEhBy333YJG10TTXBL16zBrPR0fPrSS+huPYfpl1+OlJWZXilD+K7BgH/eew9cTqd77JKvfQ23/PkFhEWwL44nf/xQHJCU6NPaA/z5IxEbruRJc29wukT8/NcH8XZts3us6q0mvF3bjJ/elwy5nF9nCn3t7YN3zPXX1sqLrIiIaGjNzc0oLS1FRsbIy0p7mySJiYMHDyI/Px8mk2lQMuLCN1GiKA54jMlkgslkglKpRFFREe68885RH1+hUECr1UKr1SI7OxsVFRVj+0SIKOjNT5mGr6y9Ev+oeHfQ3B13ZWFSXLQEUVEo+upXF+Gtt46gtnZgSac5c+Jx550rpAmKiEKCcs4cXJGX59U1j7z7Lv7x/e8Neq1+4G9/wyuP/AJZF9mREcgqm1rxj6ZzOOd0YXF0JPKmKTE53Htviw43e94Fd2iYORqdf5jODkhK9Nm7vwUVL51BzpfYL4VC35y5kxEREYbu7qEvsExZON3PERERkT+0tLS4Kw+NVF+FosbGRpjNZphMJgBAVlaWL0IcEb8nJqqqqrBq1SoAvUmHi13NNVSiAujdTaHT6aDX66HX60e9g6LPqlWrmJggmuA2PHQzEpImoeLPb6GttRPKxFh8Oy8TObdfK3VoFELkchm2bl2JXbs+Qk3NCTidLlx66RTcfvsyTJrEK4+JKLC8X142KCnR571du4I2MbH9WCN+feJ8f55Xmtvxt8ZzKF8yG7MjvVOHPT5ybHOBQhRFvH/QhfoTLkRFAGkL5JimDLzyXXv3t3icq3mvhYkJmhAmxUVh3f9p8LvHXxo0t/bWqzBnHnvlEY2XEzI4EPjlcp0IvP/V5H11dXUoLCx0JxXGQxRFpKWl4cEHH/RCZGPj18REX1KiLyHRl3Tw9KZnKP0TFaIoor6+HlqtFmlpaSgrK8O8efNGFZNKpRrV44ko9ISFybH+3puQf8+N6OzoRlR0hFdKYBBdKDxcjm9+cxm++c1lUodCRDSsrpZzHuc6mwdfpR4Mals7BiQl+pzocWDzodP446JZXjnOTSoB7xwf+v3NTarAPmngcIp4dHcXXn3/fPmuiDDggTWRuH5ZQLQndHM4PL+H7BlmjijUfOM71yImNhLPP/MaTh63I2lyHNbechW+eecXpA6NiIi8qKKiAjk5OQBGdy7dk4KCAmzatGnc64yH315dXpiU6PsCKpVK5OTkIDs7GyqVComJiQM6hTc0NMBut6OmpgZGoxEmk8m99aR/YqOmpgYqlQqFhYXYsmXLiONKTEz03idJREFNEARExwTBpYxEREQ+Nm3p0jHNBbK3Wjo8zv33XAdcogiZFy5M0MyX4WCzC8++f/4NowAgf4WAa+cE9oUPf36tZ0BSAgC6HcCju7swf5oM86cGTmJlSUoM6j5q9ThHNFEIgoA1OVdiTc6VcDpdkMsD5/eUiIi8o6GhAdnZ2e6PNRoN1Go1kpKSoFQqAQB6vR75+fnuj/uz2+2wWCwwmUxIS0tDSUkJ4uPj/RS9Z35JTDQ3NyM7O3tAUkKj0UCv1yM1NXXY5yYnJwMAUlNTkfe/2rkNDQ0oKytDcXGxu5ZW37p6vR7FxcUoKSkZc3knIiIiIqKJLO2730X1zqdx+qOPBozLIyKw6hePSBTV+Ljg+coypygOMzt665bL8IW5It47LUIAsGKaAJUysJMSAGCqG7pOvcMJvPqeA9/RBE7pwdyvTMPbtc04fHxg89+Z0yLwja9NkygqImkxKUHkfQ7Ig6KUUzDESGPX1wdCo9HAYDC4z5f3ZzQakZ+ff9GEQ0VFBdLS0lBUVCT5uXO//NfKzs5273JQKBQwGo2orKy8aFLCk+TkZBQUFKC+vh4WiwUbNmxw77IQRRE2mw1arRY33ngjDh065K1Pg4iIiIhIEt2t1Wg98TjOHduGTttfIbp6fHq8yEmTcKfRhKVr1kAe0VvicNply/Ddl1/G3Kuu8umxfSV9UrTHudRJUZB7uYzjwgQBaxfLcPNiWVAkJQDgXIfn9EzLMHNSiI2W4/GHFuJLK5MwZ2YkZs+IxE3XJ+LXP1mEuNjAKjtFY9fd7URt7Qm8+uohHDoUnGXkiIiIxqOqqgpWqxVFRUWorKwcMikB9FYFGkkz7LVr16K6uhpPPfUUXnnlFW+HOyo+f8VWUVEBk8kEQRCQmpqKqqqqAaWaxis5OdndANtkMkGv16OqqgqiKMJoNLrLO23cuDEgtqgQEREREY1G26lidJz5vfvjrqa/o9P+EhTzH4cg83yyfbwmTZ2Kb5SWweV0wuV0IiwicK6WH4vPx0Ujd3I8dp0d2DQ5Xi7DlnlslAwAcybL8Mkx15Bzc6cE3pXYcbFhuPeOOVKHQT7y2Wc2/PjHr+LUqTb32I03puCBB65CWFjg/TwSERH5gsFgQFZW1kWbVKekpKCmpgYrVqy46JpKpRKlpaXIyMjAZ5995qVIR8/n/823bt0KQRCg0WhQU1Pj1aTEhTQaDYxGI5qamty7KERRxLZt25CQkIDt27ejpaXl4gsREREREQWA7ta9A5ISfRzt76HtlMEvMcjk8qBPSgC9pV+3zZuKn82dgismReGS6Ah8PTEOf79kDhZHB2+PKadLxPuHnDDWOWC2OuFwjn1nw7czIzDUxpFZSQJWpXIXAvlPS0sXNm7cMyApAQAvvWTBM8/USRMUERGRBMxmM/R6/UUfp1QqUVtbO+J1lUolCgoK8Nhjj40nvHHxaWKiqqoKZrMZSqUSZWVlvjzUAAqFAnq9HjabDUajEXl5eVAoFNiwYQMSEhJwyy23SL5VhYiIiIjoYrpb3hxm7g0/RhIaZIKAb09VomzJHLy0dB6eUE1HclTwJl2a20Vs+H03Hvx9Nx77Ww82PdeNuw1dONk09K6Hi0lbIMfDt0ZiiuJ8diItRY6iO6IQExkc5agoNLzxxmHYbEM3rP/rXz+BKAZWaTEiCl3O//WYCPSbkz0mQlZTU9OIdkGoVCqUlpaOau2cnBzs2rVrjJGNn08ve9Hr9RAEAVVVVZKVUcrMzERmZiYMBgNMJhOMRiOqqqqQmZkJQRCgUqkkiYuIiIiI6GJEsWtMczQx6Hd348MjA5MQh86IeHhXN57URUIuG30y4aolYbhysRznOoCIMCAqggkJ8r/GxqGTEgDQ0eFAe3sPYmODN6lIRETkbZmZmWhqasKLL7444qbWCoXC3RdaCj5NTJhMJmRlZY0oq+MPGo0GGo3G/fG+fftgtVphtVphsVigVCqlC46IiALWyZOt+PRTG8LDZVi2bComTeIbYSLyj7DoJehq+ofHOZq4TtldqLUMvTOi4ZSIA0dduGzu2K6eFAQB8THjiY5ofGbMmORxLj4+EjEx4X6MhoiISDoJCQloaWkZ0UX/arUaW7ZsGXFiAgBsNtt4whsXnyUmqqqqAGBENbCkkpqaitTUVKnDICKiACWKIv74x/fwhz+8h76KAbGx4fjhD6/B1VfPljY4IvKbVqcLJ7sdmBIuhyLMv9vko5RfQlfTv+Ho+HDAuCCLRez07/k1FgosTa3jmycKZNdcMwdz5sTjyJHBPSJvu+0yCEM1QyEi8gGHKIdDDPw+Sw6RpZxClVarRWlpKdatW3fRx+p0Otx1113YvHkztmzZctHH79u3D4mJid4Ic0x81mPCaDQiJSUlYHZLEBERjdZ//mPB739/PikBAG1tPXj44ddx6FCzdIERkV84RBG/ONyIFeaD0Lx/FCvMh/ADy2m0OcdWv38sBFkEFPOfQFSiFrLw6RDkCQifdDUUqhKERc73WxwUeKYnCBju1OzMRJ64peAVHR2OoqJMXHLJZPdYeLgMd9yxHNnZl0gYGRERkX9t2rQJBoMB586dGzD+9NNP47HHHkNLy/kkvk6ngyiK0Ov1ePHFFy+6dl5enqRtDnyW8jObzdBqtb5anoiIyOf++tdPhhzv7nbiP/+px/r1aX6OiIj86ZHDjXj21PkX+iKAvza2otXpQsnCaX67YleQx2DSzPsB3O+X41FwUMYK+FK6HP+scQ6au2qRDKppEzcx0dXtQvUH7WhscmDa5DCoL41BRLjPrskjH5k+fRKefPJGnDjRinPnujFrVhzLaRIR0YSjUCiQl5eHlStXorq6GgCwceNGPProowB6Wym89NJL7sdv2LABjz76KLRaLbKzs1FcXDyoDFRLSwvWrVuHffv2wWAw+O+TuYDPEhM2mw1ZWVm+Wp6IiMjnbDbPjReHa8pIRMHP1uPEH04NLiECACZ7Oz5s78ZlsZF+jsr7HN3dOFZTg86WZky7dCmUc+dKHRKNwl03hiNMBvy92gnX/3b3rVwmxz1fDp+wpW6One7Gj584jmOne9xjybMj8It7ZmFyQuCX4qCBBEHAzJlxUodBREQkKZ1OB4vFgoULF0Kv16O8vBxAb/lpo9E44LF6vR4mkwn79u1DWVkZysrKoFarodFokJSUhOrqaphMJjQ1NUEQBOTk5EjxKQHwYWLCbrdLWqOKiIhovKZPn+QxATFcU0YiCn5HuxwYrmDTwc6eoE9MnNi/H3/K1qKpocE9ds1992H1Nj1kMl5dHgzC5ALuuikC37pBxJkWEYmTBMTHTMyEBAA4nSJ++uSJAUkJAGg42o1HDCfwy8LZEzZhQ0REY+OAHA4Efv+GYIiRxkev1yM3Nxc5OTmwWq3u8by8vEGPraqqQlpaGhr+9zrfbDbDbDa750VRhCAI0Ov1I2qq7Ss+S0w0NDRIWqOKiIhovG677TJs3vzKoPH4+Ah85SsLJYiIiPwlKXz4N3eTLzIf6NobG/GHr3wZ506cGDD+5uOPI2byZHyhoFCiyHq5RBfeFvejXjyCMIRBLSzBpbKRv7eobm9FbUcbwiDg2tg4LI6K9mG0vtflAFo6gcQYQD5Ezig2SkBsFE+4f9zQiUPHu4ec+8jSiaOnejBnOksBERERUXBSq9Wor69HQ0MDrFYrEhMTkZqaOuhxSqUSFosF2dnZqKiogNi/ceb/6HQ6PPjgg/4I2yOfJSaG+oSJfC0lJQV6vX7Y/iZWqxX5+fnIzs6GTqfzY3REFGyuvno2Nm/+PJ54Yi/a2nqvvpwzJx4//vG1mDIlVuLoiMiXZkWG4QuKaLzWPHjX1KLocKTHRUkQlfe8V1o6KCnR560nnpA0MdEjOlDk/AP2i5+6x/6O16AVM5EjXzXsc0VRxOaTR/CHprPuMRmAh6fNxrqkqb4K2Wc6uoEnXgeqPgVcIhATDtyeAWSvAHjh/2AtrYP7bYxmnoiIiCgYJCcnIzk5+aKPKysrQ0NDAwwGA8xmM2w2GxITE5Gfn4+1a9f6IdLh+SwxoVKpYLVasWLFCl8dgmgAu90Oq9WK7OxsqFQqFBYWQqPRQKVSwW63o6amBgaDAeXl5VCpVExKENGIZGWpcO21c3H0aAsiIuSYNSsO8qEuVyWikPO4aip0n51ETWuXeywlKhwlC6cjLIDOCr9fXo49v/g5bPX1iJ06FRl5efhCQSFkcs+7OlqOH/M413b6NJw9PZCHh/si3Isqd5kGJCXOj1dhkTAPK2SLPT73D01nByQlAMAF4KFTR3FJVDQ+Hxs8tepdIvDTl4Hqw+fH2nsAw9u9c7eopYstUM0eZjeEIAAzp47vZ7q+oRUNh9sQEx2GFUsViI1lzwoiolDnFOVwiIG/U9YZBDGSNJKTk7Ft2zapwxiSz15JKZVKJiZIMn27IoaiVCpRW1vr54iIKJhFRYVhwQL2TaLA5HKJeP39Hnx82Am5HEhbFA71Ap4s84bEcDl2XTIT757rxNGuHkwND8PV8dGIlAVOUqL297/H7rx17o+bjxyB6aGH0Hz4CL7+1FMen6ec47nJddyMGZIlJQBgr+sDj3PV4kdYAc+JifLmRo9zFc22oEpMfHBiYFKiv+eqgZuXAxE8BzHAnOkRyLwqDlXvnBs097WVSiTEj+1vo9Mp4nHDZ3j5ldPusfi4MDz0wCVYvlQx5niJiIiIJjKfXfKZmJg4qCs4kdR0Oh0aGhqgVCqlDmXCOH7kDB57+Dnc8+3H8JP7DKj57wGpQyKiENTe4cTOXcdx/y8+w4Yt9fjz306iu2e41sWhweEU8dPn27HtLx3469vdqHijG5t3tuHp/wzdtJ1GTy4I+Fx8NHKmxON6ZUxAJSUcXV3494MPDDlX/XQJTuzf7/G5y3JyoJgzZ8i5a+8fek1/6cTQPQIAoFPs8jgHAHan51I9dqdjzDFJ4XCT57lOB3C21X+xBJMffGsqvnqDAmH/S9qEhwnIvSkBuuzJY17zubLDA5ISANByzoGfFH2Es43D/0wSERER0dB8djldVlYWiouLfbU8kUd6vR7V1dXu2mkqlQrp6enIz8+HWs097/708QcH8X+36dF67vwJspf+9l8U/vxbuPm2lRJGRkShpK3Dift+9hkOHu10j+0/0Ip9H7Zia0EKwsIC50Syt5W+1oV3Dww+2Vr+ejcunRuGzy2V7qp38j37oUPobG72OH9i/37MWL58yLlopRJ3/Ps/+HNuDk5/9BEAQBYWhi9s3IjP3XuvT+IdqWRhFhrFoT+vZGHmsM9dGBkFa/fQJ4oXRQZXXxDFRcKND65Px28iwmX4v29MRV72ZNhbnEhQhCF8nP8H/mU8OeR4W7sTr/33LNZ+eda41iciIqLQcvDgQRQWFsJsNgPoPU++bds2xMfHSxxZYPFZYkKj0WDjxo145ZVXcMMNN/jqMEQDKJVKFBQUSB0Gobf55MMPFA9ISvR57Kd/wlXXLcPMOVMkiIyIQs1zu08OSEr02X+gFX81noH2puBreDtSb3/YM+wcExOhLTw2dtj5iEmThp2fsmQJvm/eh1MffIDOlmZMXXIJYqdI/7/5NvlN+NBhQQcGJhjmYQayZFfBJYqQeejx8eCUGXittQWdojhgfHpYOO5MDK6/BWlzgKRYoLFt8Nw1KmBSpP9jCiYR4TJMTbp4gYCztm48+YfD2P/hObhEYNmSSbj723MxY2rvF9jlEmFv8fy31mb3vMOHiIiCnwMyOBD4tRMdviuKQ6NUVVWFVatWAeg9Nwb0lpwvLS2F1WplcqIfnyUmUlNTIYoiCgsLsXfvXl8dZswOHjwIs9kMq9UKi8UCq9WKhIQE/OUvf5E6NKKQ0HimGQ2fHR9yzulwYt/eT5iYICKveP8Tz/VMPvikDdqb/BiMn3V6PleGzh7R8ySFhPiZMzHniitwZIjX2lFKJVTXX3/RNWRyucddFVKZJUzFL8Luxu+d/0C9eAThCEOqsASzxaXIbavAEbEFCiEKXw9fgrsi0hEunD9ZsDQqBqXzFmLDicP4pKs3YXlVzCT8cuY8TAkLrkRdTATwiy8CP/oX0Nh+fvyyGcADvO7LK5pbevCDhz/G6bPnkwvv7mvGp9YDePKRSzE5MQIymYAZ06Jw4tTgBDgAzJoe7a9w6X9EUYTJ1IC33jqKri4HFi5MRE7OpZg0yXPzcyIiIn/Jzs6GKIoQBAHC/y6mEUURNpsNOp2O55778WlnxLVr12L37t148cUXsWbNGl8e6qJaWlpQWloKo9EIk8kEu90OhUIBlUqFffv2uX9g+MNB5B0u1/AnxC42TzRSb7/ZgN3l+3H2TBumz4jDrbelYXkqSypMJKFbqOniUmbIcfTM0L00UmYG/pVdND6CICDnuefxzOpVaDp40D0eERuLW/78Z8QkJkoX3DjNEabjx2F57o//3vMxftr5mvvjZrETf+iuw0lXKx6JWul+0wcA6TGT8ErKpWh1OiEXBETLgvcKwkVTgWe+Aew9BNg7gFlKIH0OIL/Ip+RwinjHAhxuFBEfDVy9QEDSpIn813Jou/5xckBSok9TswPP7z6OH6ybDwD4pnYOHn3ys0GPmzUjCtd/fuy9K2j0RFHEr361F3//+6fusXfeOYZXXjmIX/96NRISmCgiIiLpPProo2huboZer0dhYaH7NaogCBBFkf2YL+DTxMTmzZtRUVGB7OxsWCwWzJs3z5eHG9Lu3bthMBhgMpkgiiKUSiV0Oh3y8/ORnJwMs9mM9PR0v8dFFOomT1VgxuzJOHH07KA5QRCwTJ0iQVQUal6seA+/euxV98cN1ka8+99DePgXN+ELNyyQLjDyq8svmYRPG4Zu9rz8kuFL2QSCtg4XunpEKCfJIBtlY+XvrI5C7WcOtHYMTPbOnSrD1z7HOi8TQaJKhf+rrkHd88+jsb4esdOmYvkttyIxOVnq0LymR3Ti8c53hpx72VGPW12XYZl82qC5SfLQSM5NigRWLhr54891ivhRuQsHTpwf2/m6iIe+JkPqPCYn+rMcbPc8d+j8/5VV109DV7cLTz9/EO0dvQ3Wly6Ox6Z7FyEm2qdvqekC77xzbEBSos/Ro+fw5JM1+NGPrpUgKiIKZU4xDA4x8P/WO4MgxonAaDRCpVJhw4YNqKysRFVV1YALaGggn/7UpqamIjU1Ffv27UNWVhZqa2sRFxfny0MCAOrq6rB161aUl5cD6L2qQqVSQa/XY+3atQMeyx+O0FVeXg6j0Qir1QoAUKvVyM/Ph0qlkjiyiUEmk+HHRXfiB9/Zju7ugY1Z837wdcxPGb55JdHFNDa24be/en3QuMslomhrFa66ej4io/jibCK4fc107PuwdcBJJABQXxaHr2QG7pWsp2xOPPZCC9639NZjSoqX4XvaOFx92cgTCjMSZfjVXbF46h+d+OSIA3K5APXCMKz/chRiIvkaZ6KIVipx9fe+J3UYPnNGbEcLhm5oDQCfORuHTExMVE9UigOSEgDQ1gX8/G8u7LxThoRY/m3oExXlOXkVFTlwW8pXVs3A6uun4eSZTsREyZGUGMH3khIwm08MMzd0k3IiIiJ/sVqtSEtLAwCUlZUhLS0NDQ0N7nmdTidVaAHJ52ds9Ho9Vq1aBYvFgrS0NBiNRp/snOgr1aTX690novt2SOj1euTl5V1kheCRnZ3tTrR4S3l5OQwGA6xWK2w2GwBApVIhNzcXOp0OSqXSa8fyNbPZjMLCQmRlZaGwsBAqlQpWqxUGgwEpKSnQ6XQwGAxShzkhpF11CZ6u+DH+8NQ/cbjhJBIS4/HV3OuQ9eUrpQ6NQsAnB07D4Ri6hE3ruS4cOmTDosXB1eiUxiY6So5f/mgByv51Gh9+1ga5TMCKpXG4efUUhIUF5kmjc+0uFPyuCads53+GG1tc+NmzzXhEp4R68cjrZM+eIscj3x2+CTJRMIsRhu8NESsEZl355m4Rb5xwwd4tYt4kAVdPkyFslLuiRqvbIeKNT4Yul9naBey1ili9LDD/Lkrhmgwl/ltrH3Lu2isSBo1FRMgwd1aMj6MKHg6HC8+/8DH2vHIEra09mD8/HuvuWIpLL0ny2TGdTs/lYIeb8xeHw4VmewfiFVEIDw+NXVtERDRyVqsVWVlZAAClUgmLxYKKigpYrVaoVKpBF8xPdD5PTGg0GqxduxYVFRWor6+HSqVCcXEx7rzzTq+sv2fPHhgMBvfuCOB8x/P8/Hw89dRTXjlOILDb7cjMzITZbIZWq/XKmmazGZmZmQB6k0g5OTnuJITJZEJhYSEKCwuh1+tRUFDglWP6kt1uR15eHqqqqgYkU/oSOSkpKcjPz0dNTQ1qa2ulC3QCWbx0Hrb89v+kDoNCkFw+/ImV0ZbEoeAWHSXHt9bO8MnaR0924dipbiTEh2HBvCiv/GxV7u0ckJToI4rAH19qhXpx8PYGIP/pPHMKZ9/cA0dHO5TL1FAuS5U6JJ9QClG4Qj4Le53HBs3FIQJXhs2WIKrhvdfowgPvdKOp30aP5UkCHr86AvERvvv/1NYFDHdq9tzQ/ZsnLM21SThQ34Z/ms4MHL8mCV/WTJEoquAgiiJ+sXUvXn/z/O9l3f4zuG/D63h067W4fJlvdixedtlUvPjiJx7mpPueuVwi/vjsXvzlT2Z0dPQgLEyGL391Ke6+51pERnIHLxHRRNF3cXR/TEZ45pf/kGVlZUhISEBLSwtEUYROp4Ner4derx9TU+w9e/agrKwMpaWlsNvtAM4nI4Dekj0lJSVITQ2NN2dmsxkGgwHFxcVeXbeoqAiFhYVQq9VDnqTXaDSora11Jyeqq6tRVlbm1Ri8SalUQqPRoKyszOMOj76fPbPZjKKioqBIthDR0C5dOh3R0eHo6OgZNDd5cizmzeeJ3Yni2MkulP7rFI6e6EJ8XBhWX5eIq1IV4163q9uFXz5zAq/ubXGPLZofhR9/bzamJg5/BffFHD3tGGbOOa61fWX/IRcq3nXhdLOIpDgBX8+QISMlOJoKi6KIo50utDldmBMlR2xYcMQ9nBMv/Q2137sdjrZW91jyt9fj8i2/hRAEzZ5PowFncQTRiMNsXIpwDF/C7KdRN+Dujn+iwWV3j8UiHProLCiFKB9HOzot3SIevCApAQD7G0U8sq8H+it9t8NDEdN7a/bQOmH+ZCbt+xMEAfd8dx6uTlOi7sMWiCKwbEkcrlIrWKbpIvbWnBqQlOjT0+PCE7/dh52GLJ8c9/rr5+HVVw/hjTcODxhPSIjC97+f4ZNjjsTO4v/i+T/UuD92OFz46+730XKuCz/52Y2SxUVE4+cQ5XCIgb8DKhhinAhUKhVqamou/kAC4KfEBABUVVUhPT3d3YW8vr7efdW/RqNxlydKTEx09wDoKytkt9tRXV0Nk8kEs9nsXrMvGdH3ojEUyjbZ7XYUFxfDYrHAarWipqYGdrsdKpUKGo0GJpPJK8fp2w2hUqlQVVU17GP7ymOVl5cjPz8/oMsgjaS7vVardSdlgq1MFRGdFxcfhY0/0uBnD70Mp/P8leeRkWH40U9Xc/v8BPFpQzsKttSjvfP8z8BbNc1Yd8tM5HxpfKW8nnz+5ICkBAB8erATP3niCH7z4+RxlYmKj/V84ni4Oam8+pEL2/7qdF+J3XBGRI3ViR98EbhpReDF29+hdgfu/6gFH57rTQZFy4D7UibhW7ODtxzLuU8PoHr9LXB1DTzz3fCHHYiZm4yFd2+QKLKLc6AH/8avcQDnewTFYwpuxmZMg+c+YFNlsXgu5ma83GPBYbEZCUIUNGEqzJD5vn/daL19ygWbh5YYVcdcaHeIiPFRmTmZICDvCwIe+8/gfRPqeUCq9yvqhoSM5QpkLB9/QjtUnW3sxKuvH4OtqQuzZsbihutm4dPPmjw+vuFgC7q7nYiI8P5rMZlMwE9+ci3Kyw/gjTeOoKvLgYULE3HHHcsxZYo0ZQ3PtXTihefNQ87tMX6Kb34rHSkLArfnFREReY9Wq0VVVRVeeeUV3HDDDVKHE/D8lphQq9WoqalxJyeA84kFk8k0ohPu/XdFAHAnOfrvwlAoRveCsq+fQqCwWq0oLCyEUqlEeno6dDodsrKyoNFoUFxc7JXEhN1uR3Z2NgAMu7ugv5KSEpSXl6O4uBjZ2dnQaDTjjkMqWVlZKCoqAgBs3brVq706iMi/rl+5ENOmx+PvL76Ps2fbMGNmPG7WXo75yb6rbRzIRFHEp5/ZceJEGxITo7D00qSLlrwKZqIo4lHD4QFJiT7P7DqOq1LjMXfm2K6kbm13wvhW85Bz1iNd2P9JG9KWThrT2gBwgzoKu19tR88QmyNWXRFYV393dIt44j/OIcvDPPmyE59bJEARE5g/Zy09Ltyx347j/X5GOlzAls9aESsXsHZGtITRjd2R3X8alJToc/BPTwd0YuJV/GFAUgIAWnAG5fg57sRvEAXPv1fRQji+HrHE1yGOW0v38HXuW7qBGB++C1t1mQwCXHjmDRGNrUC4HNAsFbD+BgFyljmkUXrvg0b8+Gd70dp6fofqX8o+w3Wfn+7xOXK54NPXH3K5DLm5S5Gbu9RnxxiN48dbBlwkc6FDB21MTBARTRA6nQ4bN25EYWEh9u7dK3U4Ac+vxQ77khOZmZlobm4elKAYif7PEUURGo0Ger1+zGWbLqz7JTW1Wj2qr8dYFBYWwm63Q61WQ61Wj+g5SqUSBQUFKCoqQnZ2NpqaPF8hYzabsWvXLm+FO0BfkmY8EhPPl3fx1g4UIpLOJZdOwyWXTpM6DMm1tvXgZ4+8g5ra0+6xBSkK/Pzhz2Ha1OC9Mnw4zeecOHRs6ILpLhH48NO2MScmbHYHXMP8Oz5r81yKaSTmzwjDhtvisf2FFnT1q0a26oooZK8MrO/XwTMi2j1c/d3jBOpPikhTBebJzn+e7hyQlOjPcKjdY2KiydWNk85OTJVFIkk+fIkhKXSdPT2mOam54EQdXhpyrhU21GMvLsNKP0flffPjPP8+xIYBk/2Qe8y6TIasy4C2LhFR4WBCgsakvd2Bnz5SPSApAQDHT7Rjb+1ZCDIB4hD/LK+6Yjrk8sDeTedN8fHD/59QKoMzCU5EvZyQw+nf06dj4gQrBgSKjRs3YuPGjdi8eTO2bNkidTgBze+/WWq1GgcPHsS6detQUVEBAKOq39l30l6tVkOv17sbN49VWVmZe+fFRNBXKgoAcnNzR/Xc3NxcFBUVwW63w2QyeUwQ+KIfRh+73T7uxET/HSL9S4MREQWzou01A5ISAFBvacaPH34bT/0mMyR3Tlzsf/d4/rUnJYRBJgNcHi6AnJo0vh4TAHDdiihcMj8c+z7tRlePiAWzwrFkXljA1TW/2LmlQD7feaTDc7+OIx1OiKI44OvdJTrxUPOHeKHjiHuHyM3Rs7A1/jLEyALnDemklEWe51Se56TWhTY4MbgvUJ9WeL7wJZikT5HhqqkyvHN68B+Qu5aGIcyPvzSxkQH8C0oBr+79s7A3dw85Z21owR3fuhS//+OHA/5Xzpk9CffdM7KL3y5mf91xVJS9jzOn2zBl2iRos5fh8uUzvLK2N02fEY8VqbNQt29wz41ZsxRYtnymBFEREZFUCgoKsGvXLuj1eqSkpODOO++UOqSAJcllDAqFAmVlZaisrERmZqZ790Pfrb/+4wqFAjqdDrW1te6dF2NRV1eHTZs2YeHChTCZTAOSHaGutLTUfX+0n2//xw9X/shgMAz6nnrr5qm/RWFhIRISEpCfnz+qz4mIKBScbezAm28dH3Ku3tKMDz466+eI/EMZH4bZM4a+SlEQgKWLxl5rOjZaji9+QTnk3KLkKFy+2Du7GqYo5Vh1RTS+8vkYXDI/POCSEgAwf4oApYdPNyYSWDQj8GLuM2WY+uZTImSDvt6bmz/An/slJQBgd8cx3Ne830cRjs28W76L6Flzh5xb8uBPxr1+Z3Mzmg4dgrPHcxJhLKIwCZHw/HuphOfSMMFEJggouiocX54rQ19OOD4c2LA8DLkqXs1IwaO9ffjdgdd8biZ+8/gNyL55IW5aPR935V+Op36zEomJ498WVGWqx333/AOvv9aAAwdO4/VXrfjB9/+OV/dYxr22twmCgId+diMWLBxYrmn69Dg8UvRl9j0jIpqA9uzZg/nz50On02H79u1ShxOwJL30S6PRQKPRoLm5GcXFxaiurobVaoXVaoXdbodSqYRKpUJ6ejqysrKwdu3aMR+rpKQExcXFMJvNEEURarUamZmZKCgoQHp6+phLQQWb/if2+5qMj4ZSqXTvmOj7HgWCvp4RxcXFyM/PHzbpYrfb3fcDJX4iovGw2YYuZ9SnsXH4+WAlCAI26OaicJsFnV0Dr0z+jnYG5s0a34mR/FumoadHxMtvnu81cdmiaPzwrtkhuQPFk4gwAQVfk+PhMie6+52jCpMBG74sR2xU4H4tvjQtEjsOtaHFMXj7zK2zBpbWOO7sQGnH0SHX+XfnSXzWcw4LwwOj0XJEQiKuKa9CzfduR1PtO71jiZOxfOtvMT3zi2Net+3sWbyYr8OBv/8dABClUGDVLx7BlevXeyVuATJcDS1exR8GzU3BPCxAhleOEwhiwgQ8nB6BzakiWnsAZWRvwoIomKjmx3uci4qSY/q0GERFheGSJYkeHzcWra1deFT/KlwXlIlyuUQUbXsVV1w1BzExEV495nglTY7FU0/n4N3/HsKJ4y2YPCUWV109HzGxgRUnERH5h0KhQG1tLdLS0lBQUIDq6moUFxcjPt7z/9aJKCD2pCsUCmzY4NsmfYmJidDpdBMqCTGU/qWLxpKYUKlU7jVqamoCsgn2xT6v/g3P09PTfR0OEZHPTZsaA0HwXLpoxvSx7xwIdJcsiMVvf7oIu/55CkdPdiF+UhhWfyER16Qrx712RLgM9393Jm7/+hScONMNZXwY5kyPCMhdDb6WlizDb74j4G81LpxqETElDviyWo6FAbxbAgCmRcrx1DIF7vmgGY09539Bbp0ZDd28gdtADjvah13rkLM9YBITABA7PwXX/eMtdJ09DWdnB6JnzIYsbOwv7R3d3fjDl7+MY7U17rHO5mb8/fvfw/vl5bj9r39F5KSxN3zvcwXWwIFu/BdlcKI30zUHl+EruB9hCL0TeBFyAYm8WJqClCo5Hjetmov/VB4eNLfuO5cgKso3pxM++/QsOjuG3q3R3t4DS30jll0eeCWdIiLCcO0XUqQOg4i8zCnK4RAD/5+5MwhinGiUSiUsFguys7NRWloKo9GIp59+GmvWrJE6tIAREIkJfxjPbotQ0T8pMdadAv0TE0ajMWASE2q1Gvn5+cjJybno59b/65Cdne3jyIiIfE+hiMSXb0rGP/7dMGguLXUqlixOkCAq/5k7Kwob8uf5bP0pieGYkjj+nhLBbv5UAfd+Mfje8KQpI1B5VRJqm3vQ5hSxODYMqtjBL4GnXqTJ9RRZ4DXBFgQBUVOmeWWtj//5zwFJif4aXnsVz950I9ZV7UFYxPiSBwIEfB63IB1fhR0nEY04xGEyBAR2kotoorrv+5dj8uQo/OPfB2G3d2PG9Bjcdssi3LRq6HJy3nCxCwAm4gUCREQUnOrq6pCS0pu0bmpqglarRVpaGvR6PW644QaJo5PehElMEGAymdz3x7Jb4sLnBVLjaI1GM+LSUkajEUBvckan0/k4MiIi//je3SsgAvjXfxrcOyc+d9UMbNyQzjfwNOHFhslwXdLwiYVkeSw+H5GEt7obB82tCFdiWbjCV+EFhLOffjLs/JF33kHts8/iSi/184pEDKZhbK9Hich/5HIZvvPNJfjON5fA6RT9Uspw4aLJiI2NQFvb4MbbkyZFQJWS5PMYiIiIxuPgwYPIysqC1WoFcD6pLorigAo0Go0GWVlZ0Gg0WLFihVThSoaJiQnEYjnfKCwxcWx1QJOSzr8I7PvlCgR9ne61Wu2wSRez2exO0JSUlPgrPCIinwsPl+H+e9X47reX4uSpNiQlRWPK5OiLP5GIAPS+WXhSmYp1TbWo6Wlyjy8Li0dxQlrI9weInTzloo85vm+fHyIhokDlr/5KsbERKNx8PR5+yAiX83wZPrlcho0/vAExMdzFSET+4xBlQVHKySHKpA6B/qeqqgqrVq0C0JuIAM4nJgRBgCiK7nGTyTTgQvKJlqjwWWKipaUFpaWlUKlUWLlypa8OQ6PQv7eCNwRSYgLoTU5kZWXBaDQOmZwwm83IzMwEABQUFECr1fo7RCIin1MqI6FUBl7JGaLxEEUR/zrRg7fOOuB0AZcr5ciZG4EImXdPkiXJI1GRdDWqe5pwzNGOGfJoZEQkIEwI/Td6l3z1q3j5h5vRMczrxfBoJjuJyD+u+4IKv/3d17G74gOcOd2KqdMmYa12GZZcMlXq0IiIiIbVv2x8XyKiv/4VDS6cm2iJCp8lJtatW4eKigoAQGFhIbZs2eKrQ9EI9U8kjLXHxFif5w9arRZKpRJpaWnQ6XTIzc2FSqWCzWZDeXk5tm7dCrvdDoPBwBJOREREQUIURfzo/Q78/XiPe+w/J3tQebIHxRmxiPLyFbwyQcCVEYlAxNh2lwarSVOn4psVFXj2ppvg6Owc8jGXfOXLfo6KiCayS5dOw6VLvdNHh4iIyB8effRR2O1298cqlQpKpRJWq3XAONCboLiw7PJES1T47PKv8vJyAL1fUL1e76vD0Chc+AsQqGuOh0ajQUNDb/PX7OxsJCQkIC0tDbt27cKmTZvQ1NTEpAQREVEQ+efxngFJiT777E48Vd8lQUSha/411+L+Ax8jaeHCQXM3/OhHSFmZKUFURERERETBwWg0QhAEFBcXw+Vyob6+HjU1NbDZbHC5XKitrYVer4dWq4VCoXCXdepf8qn/rf+8KIowmUwoLCxEWloa5HI5Vq9ejcceewx1dXXSfuJj5JMdE/suqD8byFfZ0/jYbLaA+/4qlUro9Xq/J8ROnDjh9TVnz57t9TWJiIiCyZtnHR7n3jrbg/sWR/kxmtCnmD0b99Ttx74//hHHamsRHh2NJV/+EpMSRERENCpHjx716nq+OOcyEk6EwREELXqdQRDjRNDX2HrdunVDzqempiI1NdX9cXNzM0pLS2E0GmEymQZcAD6WHRVZWVkoLCzEDTfc4IXPxvd88lPb/wsiCAJycnK8tvbBgwdhMplgsVhgtVrdW2GUSiUSExOhVCqRkZEBtVqN9PR0xMfHe+3Ywc4bPSbG2jR7Irjiiiu8vuaFf3CIiCgwuFwiztqdAIDJSjlkXu51QOc5hvlX2OPyXxwTSVhEBDLWrUOGhzdURERERBczZ84cqUMgksRoLuBWKBTIy8tDXl4eAKChoQEmk2nMiYrKykoYjUYUFxfjzjvvHPPn4C8+SUxUV1cD6P3iCILglSvXH3vsMezatQtms3nAeP9vQN83p6+MFNBby2v9+vVYu3Yt5s+fP+44QgUTDERERGPzkaUTRc+exokzvVfyT58chg13TMVlC3jlvi9crpCj8uTgUk4AsEwp93M0REREREREQ8vMzBxwwf5oJScnD0hU7Nu3DyaTCdXV1SNOVIiiiG3btk3cxERfk2VBEFBQUDCuXQtPP/00CgsLYbfbh7x6/MJvADAwWWGxWFBQUICCggKkpaVBr9cHzXYWXxrr7okLn8cEx3l79+7FjBkzpA6DiIh86PDJbmx64gQ6u86/1jh51oHNvzqBX2+ahfmzIiSMLjTdMjcCL5/swfvNzgHj06IE3LuQySAiIiIKDtbPjuODOivkcjnUVy7CjFlJUofkU0eOHPHqeidOnPBJpYqLcYpyOMXAvxgmGGKcCDZt2oSKigrccsst+Mtf/jLu9S4s/TTSHRXeqJrjDz5NTAC935CxOHjwILKzs2E2m4fcFdGfp3I3/R8riqK7zldaWhpKSkqwfPnyMcVGNJQZM2awJwQRUYgrr2wekJTo09UjovRlOwq+O3VE6zQ2deO3vz+MfR+0wOkCli6ahO99Zy5mz+CJ9gtFygU8nRGL39V34q2zDjjE3l0UP1gUhSlRMqnDIyIiohDR0+1A2fOvo66mHoJMBvUVC7D21msRFj6+E76iKGLH43/DH576j3ssLFyODQ9/A1/LuWa8YQcsnh+hiUitVmPbtm3YuHEjrFar188/X7ijwlOiYqzn4/3NJ4kJu90+rt0SJSUlWL9+PYDz5aD665+IUKlUUKvV7v4Sfce32Wwwm80DkiR9ampqoFarUVhYiC1btow6vmCVmJg4IJPmDYHW+JqIiMiXjp0auqQQABw77Xmuv5ZzDvzg4Y9x6ky3e8z8fgvu/ckBPPnIpZg+JXLccYaamDABDy6JxoNSB0JEREQhqbu7B/d+93eoq7G4x143vYe3X/0Q2w3rx5Wc+PeL7wxISgCAo8eJbT96HvNU07EifcGY1yaiwFNQUACVSgWdTge1Wo2UlBQUFhb6pLTShYmK5uZmAL29K4KBT1u25+bmjvo5d911F4qLi93Jhwt3PQC92adNmzZBo9GM6AvdV4+rf48KURSh1+vd3csnQpNsJhGIiIjGRxnv+U2pMm5kb1gr/n1yQFKiz7lWJ56rOI4N65PHHB8RERERjd6fdu4ZkJTos/ftT7Drj6/itjszx7z238veHHJcFEX8q+JtJiaIQpBWq0VWVha2bNmCkpIS5OXlQafTISsrCxqNBhqNBitWrPD6cYMlIdHHJ/vf+06Aq1SqET/n4MGDWLhwoTsp0b8uVl/jDp1OB4vFgpqaGqxdu3bEX+zU1FRs2LABNTU1sFgs2LBhA5RKJURRRG1tLdLT09HS0jLqzzPY9O8HMdadE/2fx0QHUWDp6OjGS//cj2d2vIq/V9Si2d4udUhEIeema+LGNNef5VDHMHP8vSX/abfZ8Pavf41/3HsvXtm6BU0HD0odEhERkSSq3/7E41zNO5+Oa2277ZznuabWca1NvucUZXCI8oC/OUWWOA00CoUCer0eNpsNpaWlWLlyJSorK919kCdPnozdu3dLHaakfPJTm5aWBgAj3oVQUlKClJQUWK3WAaWb+nZIFBQUoKmpCTt27EBy8viuIkxOTnb/UGzYsAGiKMJisUCj0Yxr3WDQP1HkjSYobHxNFDhOHLPju7cU4xc/+iue2fEain7+T3xL+xQ+OXBC6tCIBrA0tED/+H7ct/Ed/Fy/D/vfb5Q6pFFJXxqDu3OTIOv3CkomADptIq5aHjuiNaKH6YsQHcmmdeQfZz/7DL9NT8O/Hrgf7/zuSZgeegi/Tl0By54qqUMjIiLyO6fT5XHONczcSMyZP83j3Nz5I+tPRkTBTavVwmg0wuVyobKyEuvWrYNSqRyyBcFE4pPERHZ2NgBg//79wz7u4MGDWL16NdavXz+gdFPfDgkA0Gg02LZtm0+2ouj1etTU1CA+Ph61tbXYvHmz148RSFJSUtz3x7pjwmI5v7VxNDtiiMh3RFHEQ4XlOHJo4AnexrOt2Hz/LnR1OSSKjGggc91Z/N/9b6Oy6hje+8CGV984gQc2v4uXq45KHdqofG2lAs/+fA4K7piCDXdMwc6fz8HaLOWIn3/tFQme5670POcLTpeI080uNLcNbuhNoUsURey67TY0HzkyYLy7tRUv3HorOv9Xm5aIiGiiWJ7m+fzGstTxXSB7x91fHLJHRbwyFjnfXjmutYko+Gg0GhgMBtTX1+PBByd2Fz2fJCZyc3OhUCiwdevWIedbWlqwadMmpKSkwGQyuXdJ9CUk8vPz0dTUhA0bNsBkMuHQoUO+CBNAb7+KhoYGzJ8/H3q9PqRLOqnVavf9se6Y6P+8/usRkXSOHWnCgQ+ODTl36kQz3q877OeIiAbr6XFh2y/3o6dn4BVnogj86skP0GTvkiiysZk+ORyZV8VBc1UcZk4JH9Vzr70yAdovDb5y7obPJeJrq/131dwbHzpw22MduH17B3L07bj/6Q6cbBrfFYEUHOyHDuH4PvOQcx02Gxpef93PEREREUnr2/mroFo4Y9D44ktn45vrxldhY+nyZPyy5PuYNuP8BSgLlszGk8/dj2kzWIki0DkRBqcYBDffthEm8gmf/NQqFAoUFxcjJycHiYmJ0Ov1iIuLQ11dHXbt2oWioiIA50s19T1Hp9Nh06ZN7t0R69evx6OPPgq9Xo/f/e53vggVQG+vhLKyMqSnp6OkpAQPPPCAz44lpfT0dPf9se6Y6L/FKCMjY7whEZEXtJ7rHNc8kT8cO96GRtvQyYfubhcOfGLH5670vM09lAiCAN1tc5CxQoG6D1rgdAFLF03CVWqFu5ylr1V/6sAjpV3o91IMHx52oeDZTjx5VzTiov0TB0mju61t+PlW1rsmIqKJJXZSFIpf+AF2/val3ibYApB25UJ89+4bERUdMe71r/j8JXjx1S04e6oZ8nA5EpPi/Pa6j4goUPksnabValFZWYmcnBwYDIYBc/0TEhqNBvn5+Vi7du2gNZKTk5GamgqDwYD8/HwsX77cV+FCrVZDo9GgsrIyZBMTSqUSarUaZnPvFXJWq3XU5Zj6JyYmQl8OomAwa04iwsPl6OlxDjmfnMK6pSQ9lzh8qaCLTIek1KXxSF06sn5c3vbHV3qG/JqfsouoNDuw9vOj2wVCwSVRpUJkXBy6zg3djHOGD19zExERBarYSdG4Z+Man60vk8kwdYZ/y3YSEQUyn7Zs12g0sNls2LVrF7Zt24a8vDzk5eVBr9cPaPgxVFKij16vhyiKyMzMxDkPb568JSsrK+SbjuTm5rrvm0ymUT3Xbre7d1poNBoolUovRkZEYxUXH4Vv664bcu7La1IxL3mynyMiGmzOrElQKoe+2iw8TIZLFiv9G9AEd6zRc8mmo8PMUWgIj47GTUWPDjl31d3/h6mXXurniMgTUQRcEzBxS0REREShzy8FyLRa7Zifq9FokJmZiaqqKmRmZmLv3r1ejGygidANXavVorCwEABgNBqh0+lG/NzS0lL3/b4G50QUGL697lpER4XjuWfehL2pHbGTInFzTgbuvOt6qUMjAgCEh8tQ8IPL8dAvauFwDDzL9v31lyIxIVKiyEbH6RTR1OJAXKwckRE+vb7DpxQxAto6hz7bqYhhWYGJIGPdOkTGxeGVrVtgq69H3IwZuEKnwzUPTOwGfIGitRt48m3g9Qag0wGoEoG7rwZSZ0odGREReUNnZzdM/6rBQcsJKJSTsPJGNWbNnSJ1WDQEhyiHXBzcvDzQOIIgRqILBUVnFIPBgAULFqC2thaLFi2C0WjEvHnzvH4ci8US8rsAVCoVtFotysvLUV5ePqrnlpWVAehN4IwmoUFEvicIAnJvvxo537wKHR09iI4OZ81SCjhXpk/Frx+9GqW7G3DyVDuSEqPw1S/ORbo68N+EiaKI3ZU2PP/3s2jvcEEmANdfGY/v3T4dsdHB9ybgRnUYnjH1DBoPDwNWLg+Kl4fkBZfn5uLyfrtpKTD0OIHCfwMfnT4/Vt8IbPgX8NiXgBVMThCRH7hcIj49cAJnTrdg+kwlFiyaxvcXXmJrbME933kC9R8fdY89/Zt/4Oe/ysN1mSynSEQTR1Bc6qdSqVBaWgpRFFFfXw+VSoWdO3d6/Tgmk2lAg+hA079h9VibVwO95bH69DUivxir1eou/VRSUjLmYxORbwmCgJiYCL5poIC1eKESPy5MxZO//Dx+9qO0oEhKAEDFyzYU7zqN9o7eMkcuEdjzTgt+9tujcAVhnRXtNeG4MW1gAiIyHNiojcTcKUHx8pAoZO2xDExK9HGKwFPv+D8eIpp4bI2t+L87nsW620qw6b5duCPXgAf+708419IpdWghYesPnx+QlACArs4e/OT+nTh9skmiqIiI/C9o3nlqtVps2LABQO9VizqdDosWLcKLL77olfUrKiqwb98+ZGVleWU9XzAaje77NTU1Y15HpVK5G5IXFhaOKMmRn58PoPf7MJ7SXERERMGmxyHi+b+dHXKu7kA73vuk3c8RjZ9cJuC+r0XiN/lRuPerEdhwcwSe/UE0rrmUuyWIpGa1jW2OiMgbXC4RP7y/FO/vPzJgfO/bFjzy0F+lCSqEdHZ248097w0519Hehf++/qGfI6KLcYkyOEV5wN9cYtCc4iVyC6p3n31X+j/6aG+zvvr6emi1WqhUKqxfvx55eXmIj48f9bp79uxBdnY2BEEIiBJFxcXF7vt2ux0WiwU1NTUwm80DxhMSEpCTk4OUlJQBJahycnIuWpJKp9PBYrGgqKjI3cPD03MKCwthMpmg0Wjc5ZyIiIgmCpvdgY4uzw2hj5zsxopLYv0YkfcsmiXHolnBV4qKKJTFhI9tjojIGz49cGJQUqLPm69+ghPH7JgxS+nfoEJIR1sXRNHzbtv2Nu5KIaKJI6gSE0BvciIlJQXr16+HIAgQRREWiwUFBQUoKCiARqNBVlYWNBoNVqxYMexaLS0tKCwsRHFxMQRBQEFBwZgSG9421C4GpVI5ZOKgtLR00GM1Gs2IemXo9XpkZGQgLy8PycnJKCkpGbAbwmw2u5MSBQUFA0pAEQWyww2nYa0/gdhJUbhcrUJkJN/FE9HYTYod/uojxSSe2Cci77k2Gfijubdk3IWuT/F/PEQ0sZw53XLReSYmxk6ZOAmTpypw9nTzkPMLFs/yc0RERNIJusQE0Hu1v0qlQnZ2Npqbm90JCqC3T0RfLwSgt2yRWq1GYmKi+2S91WqF2WyG1WoF0FsaKi0tDVu3bvX75zKUpib/1RTsK81UXl4Og8GAwsJC2Gy9e8RVKhVyc3NRVlYW8k3BKTQ4HE788hflePEvb7nHps1IwLbf3Ikll82VMDIiCmax0XJcmx6HN2rODZpLVIQh7bLg3C1BRIFJlQg8cC3wyzd6+0r0WT4DWH+ldHER0cQwfYZy+PmZw8/T8ARBwA9+mIMf3Tu4d+e1mcuRdtViCaIiIpJGUCYmgN5dAU1NTcjPz3c3Y+5r9tp/W5zFYnEnIC7U9zi1Wj0gmTERsXcEhYJnf/fygKQEAJw60YQH1hvwp39sgjJhkkSREVGw+8F3ZsDe4sT7n57vJ5GoCMPD98xGbDR3TBCRd31xCXDJVOCtQ0BHD5CSCHxBBchZPpqIfGzB4mm44uoU7P2vZdBc1k3LMHWa9FUmgp3mi+mQy2XY8cu/4XDDKcQpYvDFNVfhrgfWQCbjH/pA4xTD4BQD//RpMMRIdKGg/6k1GAzYuHEjtm3b5k5QAOeTFJ70JSUKCwsDZqcEEY2dKIoo/9PrQ87Zzp7DnpfrcPMt1/g5KiIKFZNi5NAXzMW+j9pw9EQ3FHFyXHH5JMTGMClBRL6RnNh7IyLyJ0EQ8FO9Fr/48Yt467VP3eNZNy1D4UNfkTCy0HLDajVuWK2Gy+ViMoKIJqygT0wAQHJyMgwGA4qKilBaWgqj0QiTyTSo90IflUoFrVaLTZs2QaFQ+DdYIvKJ7m4HWprbPc6fOTV0DU8iopGSywSkXzYJ6ZdJHQkRERGR78TFR0H/xK04fqwJZ06fw4yZSu6U8BEmJYhoIguJxEQfhUKBvLw85OXlAQCam5thtVrdPRMSExOhUqmYjCAKQZGR4UiaEo/GM0M3a5s5m5ccEhERERERjdTMWQmYOStB6jCIJOUUZXCKgb9L2ikyyUXBJ6QSExdSKBRITU2VOgwi8pNv5WXh8S0Vg8ZnzZ2Mlav5t4CIiIiIiIiIiCgQhHRigogmluzbr0N7eyeeefIl9PQ4AQCLL52NX/zqDsROipI4OiIiIiLA6QL+fQCoPdp7f+l04ObLgYjAvxiTiIiIiMhrmJggopAhCAK+s3411n7jWhw5dAaTJkVjzvwpEARB6tCIiIgoxLR0iNh/DOh2AAumAPOSLv56w+kCHq4E3mo4P/bWQeDNBmD7VwGHQ8RxOxAbCcxQgq9hiIiIiChkMTFBRCEnLj4Gly6bJ3UYREREHrnEHhxxlqPJWQcBAhLl6ZgtXwNB4GXzweDdBhFb/gO0d58fuzlVRP51gGyYZMK/DgxMSvT56KSIzRUiPjnswv82fWLxDGDz1+SYrmRygoiISCouUR4UPSZcQRAj0YWYmCAiIiIi8iOX2I3a7nvQ5DK7x0659uCM822siCiCTAjsl+jtB/ah1fwmAGBS2rWIWbJC2oD87GiTiJ/9E+h2DhzfvQ+YFg/cPExbq9ojQ4/LukV80OAaMPbJCWDzLieevEOO6AgmJ4iIiIgotAT2ux4iIiIiohDT4PjjgKREn7OuN3HEWYF5YbkSRDUyJ578KU4afjFgbPpdD2HGXT+WKCL/Mx4YnJTo88/3hk9MuMQhBkURsi7XEBPAsSbgzU9EZC1jYoKIiIiIQotM6gCIiIiIiCaSRte7nuecnuek1lRZPigpAQAnn/oZ7MbdEkQkDVub57mm9uGfu3T60OPCUAmL/zlpH2aSiIiIfMolyoPmRhRsmJggIiIiIvIjUfRwuT0AEZ7npGb7+/Oe5/7heS7UzFKObQ4Abl4GXDpt8PhwPa6T4rhbgoiIiIhCDxMTRERERER+pJQtG9Oc1JwtNo9zjmbPc6HmxqVAUuzQc9+4YvjnRoQBj30FuDUVWDwFWDAZ+NoyAV9PHzr5kBALXLOYiQkiIiIiCj1e6zFRV1cHk8mExsZGby0ZVJKSkqBSqXDzzTdLHQoRERERBTBV+Dqccb2NdvHQgPE4YTHmh31ToqguLip5Cdrq/jv0nGqJn6ORjjJGQNFaEVv+A1jO9I5NigS+dwPwuZSLJxGiwoG8qwaOOV0ydHS58NJ758s2TYkHfnKzHPHRTEwQERERUejxWmJi5cqVaG5u9tZyQausrIzJCSIiIiLyKFyIw5WRO1HfY4DdVQdAhkR5OlLC8iAXoqQOz6NpdxagyVgBV2vLgHF5nALTvrtBoqikMTdRwFPfEHHmHNDlAKbFAxFhY08gyGUC7vuiHGuvFHHojIjYKGDpLAGR4UxKEBFdyOl0obmpDfGKGISFs64++ZZTlEEWBP0bnCKL4lDw8VpiIjMzExUVFd5aLigplUqo1WqpwyAiIiKiABcuxOOSiOA6mR85dwEWPlOFww/loePjOgBA9JIVmPvzpxE5J0Xa4CQgCAKmxnt3zblJAuYmMRlBRNITRRHtbd2IjomATBYYf5dcLheee/oVPPf0HrS3dSE8XI6vZV+F/3vwy4iMDJc6PCIiGiWvJSbKysoAYMLumlAoFFKHQERERETkUzFLVmBJaTWcbecAAPLYOIkjIiIibxJFEbt3VeNZw2uwN7UjMioMX1mjxl0/yEJkpNdOIY3JM78z4pmnjO6Pe3qcKP/zW7A3teFnjwVuKUQiIhqa1/+r8AQ9EREREVFoG2lCwtVzBi5nK+QRMyDIArdMFRER9Sp9/h38Znul++OuTgfKX9iLxrOt+FmRFoIgze6Jcy0d+GPJniHnTP+pw+3rVmLhkpl+joomApcoh8sV+KWcXEFQboroQixARkREREREXuXqOYNmy/fQdODraP70m7B9+CV0nHkBoihe/MlERCSJrs4elDz5ypBzrxg/wscfHvdzROcdP2aDw+H0OH+o4bQfoyEiIm9gYoKIiIiIiLxGdHWhxXofHG37+g12ov3Eb9HV+KJ0gRER0bBOnmhGZ2ePx/kGyxk/RjNQvCJ62HmFMsZPkRARkbcwMUFERERERF7T3fwanF0NQ861n36WuyaIiAJUXPzwJfcuNu9L02ckIDVDNeTczNmJWJ429BwREQUuJiaIiIiIiMhrnN1HPc6JDhvgavdjNERENFKJSZOQfuXQJ/iTJk9C2hXJfo7oPEEQ8HDRbVi4eGAfiWnTldD/5g5EREjbmJtCl0uUwxkEN/aYoGDEv9xEREREROQ1srCkYSajARnLbRARBaof/eLreOD//gTLp6fcY8qEGDzyy1zExEZKGBkwZaoCJX+5B/99/QCOHWnE5Cnx+Pz1lyJ2knQ7OYiIaOyYmCAiIiIiIq+JUFyH9pPFEJ32QXNRiV+DIAj+D8qPPmpyYefHDhxqFZEYCXxtfhi+OEcW8p83EYWGyVPiUPzcOrz56sc4ctiGxMRYXLfyEigTAiOpHBERhi9olkkdBtGEkJ2dDZVKBb1e77U1y8vLYTAYYLVaYbPZAAAqlQq5ubnQ6XRQKpVeOxYFPiYmiIiIiIjIa2RhCYhLLsK5g5sgOhrd4xEKDWKm50sYme9Vn3binrd70OPq/fjgOcB8tgeHz8lx19JwaYMjIhqhyMgwZK6+TOowiAKCS5TBJQZ+JXxvxmi325GZmQmz2QytVuuVNc1mMzIzMwEAer0eOTk57iSEyWRCYWEhCgsLodfrUVBQ4JVjUuBjYoKIiIiIiLwqPGYpEhb/BT1tZojOVsgjkyGPXhTSuwZcooifmc8nJfrb+YkTq+bIkRIf+Cc2iIiIaGIym80wGAwoLi726rpFRUUoLCyEWq1GbW3toHmNRoPa2lp3cqK6uhplZWVejYECExMTRERERBPce4dFvHdYhCAAl88RsGxu6J48Jv8R5DGIiL9G6jD85mwncGKYvt7v21xMTBAREVFAsNvtKC4uhsVigdVqRU1NDex2O1QqFTQaDUwmk1eO07cbQqVSoaqqatjH6vV6WK1WlJeXIz8/HwaDwSsxUODiK2MiIiKiCUoURTxlcmLDn5147k0X/viGCw/+2QlDlROiKEodHlFQkV0knxcWwrtFiIiIKLhYrVYUFhaitLQUAKDT6WA0GmGxWJCdne2VY9jtdvdaZWVlI+ofUVJSAgAoLi72WnKEAhd3TBAREXmRyyXiyJEWdHY6MGdOPGJiWFOcApfpAxF/rRmcgNhdLWLBNBGZl/FEKtFIJUUCC+IF1LcM/p0KEwD1ZP4+ERERBRtRlEEU5VKHcVHiKHtMqNVqn1+IVFhYCLvdDrVaDbVaPaLnKJVKFBQUoKioCNnZ2WhqavJpjCQt7pggIiLykoYGO7773X/gO9/5O9av/zduvrkMu3d/LHVYRB69dsDzm5Hh5ohoMEEQ8POMcCgiLhgHULgiDDNj+daLiIiIJoa+UlEAkJubO6rn9j3ebrdz10SI444JIiIiL7DbO7FhgwmNjR3usa4uJ37zm2pMmhSBVatUEkZHNLT2bs/Jh7YuJiaIRmuhQoY/rYzEC/UOHG4VoYwU8NV5cqROZlKCiIiIJo6+ElEARrxbYqjH6/V6aDQar8VFgYWJCSIiIi+orLQOSEr09+c/f8DEBAWk+VMEfHh06ARE8lSWnSEai+kxAu67nGX8iIiIQoHLJYfLFfilnAItxv6Nq1Wq0b8XViqV7h0Tdrt9RP0pKPjw0h0iIiIvOHGidUxzE1HLuR4YXzuFsn8cxX9rGuFwuKQOacK65WoZFNGDxxUxQO5VfJlIRERERESjZzab3ffHkpjo/5yamhqvxESBhzsmiIiIvGDy5CHO7rrnYvwYSWD76NMW/ER/APaWHvfYpYvi8PONlyI+jlcY+9vUeAG/vF2OJ15yuXdOXDZbwL03yjAlnjsmiIiIiIhodPonJca600GlUrnXMRqNLOcUopiYICIi8gKNRoUXXvgQbW09g+bWrFksQUSBp7XNgZ8UDUxKAMBHn57D44Z6/OTBSySKbGKbnSjg0W/I4XT1JibkMiYkiIiIiIhobPo3rB7LbokLn9c/0UGhhYkJIiIiL5g2LRaPPHIDfvrT19HU1Okez829FGvXLpEwssBRU9cEe/PgxA0AvPluI9raHYiN4UsTqTAhQUSByHKoA3vfa4XDIWKxKhoZl0+CIPDvFRER+YcoyiCKgV/iNJBitFgs7vuJiYljWiMpKcl932q1jjsmCkx8909EROQly5dPw5/+9HV8+OEZdHQ4sGBBAmbMiJM6rIBxrtUx7HxrGxMTRER0XvlLZ1Hyl5MQxfNjX7hSgY35syGXMzlBgcvpdMH40gF89MFxyOUyXHF1Mq7+/NiuGiYiCjY2m82r6zExEbr47p+IiMiLoqPDkZ4+U+owAtKcWZ77cMREy5GUEOHHaIiIKJDtP9CK4hdODhp/7d1mqOZE4tavTJUgKqKL6+lxYtMDL2LvOwfdYxWl+7A2V4177r+BO36IKOT1TySMtcfEWJ9HwSVw9vkQERFRSLv8UgXSlyuHnPt27lyEhfFlCRER9Xrt3RaPc6++0+zHSIhG57ln3xmQlOhTscuM1175zP8BEdG4iC4ZXEFwE12B817KbrcHxZokPe6YICIiIr+QyQQ89MAlePJZC0yvn4HTKSIuNgzfyp2Lr904Q+rwiIgogLR1Oj3Pdbj8GAnR6Lz1hsXz3Gv1uH7lIj9GQ0SBynn8rHfXO+Xd8kmBxmazcRdFCGJigoiIiPwmOlqOB+9ehHvzFqC13QFFXDhkbLpMREQXmD8rCsDQOyPmz470bzBEo9DV5bmn1nBzRDSxnLriW1KH4DPe6DEx1qbZFFwCZ58PERERTRjh4TIkKCKYlCAioiF9NTMRM6cN7j0UGSHgjrXTJIiIaGQWLfb887loCX92iWhiYYKBhsMdE0RERERERBRQYmPk2L45Gb/+/XHUvN8Kp1NEyrwofP9bM5EyL1rq8Ig8yrvrGlS/exDN9o4B48kpk3FzTqpEURHRWImQQRTlXl936t7nvbqe81QjGr9yr1fX9Iax7p648HlMcIQmJiaIiIiIiIgo4CQpw/HTH8yD0yVCdAFhYdxlR4FvxkwFDM/eht88/go++uAEwsJkyLhyPv7v3usREzN4FxARTUzyGVOkDoFIckxMEBERERERUcCSywQWIaagMnOWElsfWyN1GEREkkhMTITdbvfqmmx8HZqYmCAiIiIiIiIiIiK6kCjrvQW6AIqRSQQaqcD5qSUiIiIiIiIiIiKioNW/H8RYd070fx4THaGLiQkiIiIiIiIiIiIiGjeVSuW+P9bm1/2x8XXoYmKCiIiIiIiIiIiIiMYtJSXFfX+sOyYsFov7fv9EB4UW9pggIiIiIiIiIiIiuoDokkF0Bf513YEUo1qtdt8f646J/s/rvx6FFiYmiIiIiIiIyCc6ulz49LADDpeIlJnhUMYFzokTIiIi8r709HT3/bHumLBare77GRkZ4w2JAhQTE0REREREROR1NQe6sO35FrR2iACAMDmg++okfPXaGIkjIyIiIl9RKpVQq9Uwm80AepMMoy3H1D8xodFovBofBQ5erkJERERERERedfCkAz97ttmdlAAAhxP43YutePO9TgkjIyIiGgWXDHDJg+AWWKd4c3Nz3fdNJtOonmu32907LTQaDZRKpRcjo0ASWD+1REREREREFPT+/XYHuh1Dz/3t9Q7/BkNERER+pdVq3feNRuOonltaWuq+n52d7bWYKPAwMUFERERERERe1djs8jh3ttnpx0iIiIjI31QqlTs5UV5ePqrnlpWVAegtCaXT6bweGwUOJiaIiIiIiEhyLlGEXWxDt+jhMnsKKlMTPb/VnJog92MkRERENBr9G1aPtXk1AOj1evf9oqKiET3HarW6Sz+VlJSM+dgUHJiYICIiIiIiSf3baUZO9+PI7f4VvtZdBH3P39Amsg9BMPvS1dGIihCGnFt7PZtfExFRkBBlwXPzkv6ll2pqasa8jkqlgsFgAAAUFhaOKMmRn58PoLcUVP9yUBSawqQOgIiIiIiIJq5/O814wvEf98cuiNjj+gBne85hW/g3IBd4LVUwmj01DD/PU2Dbcy1obOkt6xQVIeDumyfhiksjJY6OiIiIiouL3fftdjssFgtqampgNpsHjCckJCAnJwcpKSkDGlHn5ORctDG1TqeDxWJBUVERMjMzUVVV5fE5hYWFMJlM0Gg07nJOFNqYmCAiIiIiIkm4RBHPOF4dcu498RBqXVZcIV/g36DIa5alRODZHyXh4AkHHE5g3nQ5YqOYaCIiIgoEQ+1iUCqVQyYOSktLBz1Wo9FcNDEB9JZ0ysjIQF5eHpKTk1FSUjJgN4TZbHYnJQoKCgaUgKLQxsQEERERERFJogXtOIcOj/NHxEZcASYmgllEmIBFc8KlDoOIiGhsXPLeW6AbQ4xNTU0+CGRofaWZysvLYTAYUFhYCJvNBqC35FNubi7KyspGlOig0MHEBBERERERSSIGkZBBgAvikPPxQrSfIyIiIiIiX2HvCOqPiQkiIiIiIpJEhBCG62VLscf1waC5eETjChl3SxAR4HKJqK09gYYGO+LiInDllbOQmMjEJRERUTBjYoKIiIiIiCTzvbDVONtzDu+Jh9xj8YjGQ+FaKIQYCSMjokDQ0dGDn/zkdVRXH3ePxcaG4+GHr0N6+kwJIyMiIqLxYGKCiIiIiIgkEytEYVv4N1DrsuKI2Ih4oXenBJMSRAQAv/td7YCkBAC0tfXg4Ydfx+9//1VMnsy/FUTkQ2KQ9JgQgyBGogvIpA6AiIiIiIgmNrkgwxXyBVgbdiWy5JczKUFEAHpLOFVWWoeca2vrwZtvHvFzREREROQtTEwQERERERERUcDp6nKgu9vpcb6lpcuP0RAREZE3sZQTEREREREREQWc6OhwTJkSgzNn2oecnztX4eeIiGjCcQmAKwiu63YJUkdANGpB8JtFRERERERERBNRXl7qkONLliTh85+f7edoiIiIyFu4Y4KIiIiIiIiIAlJWlgpOpwiDoRZ2excEAbjuurm4//6rEB7OZq9ERETBiokJIiIiIiIiIgpYN96YgtWrVbDbOxEbG4GICCYkiIiIgh0TE0REREREREQU0ARBQEJCtNRhENEEI7jkEFyBnwwNhhiJLsQeE0RERERERERERERE5DdMTBARERERERERERERkd+wlBMRERERERERERHRBQRRDkEM/DJJwRAj0YW4Y4KIiIiIiIiIiIiIiPyGiQkiIiIiIiIiIiIiIvIbJiaIiIiIiIiIiIiIiMhv2GOCiIiIiIiIiIiI6EIuAXAFwXXdLkHqCIhGLQh+s4iIiIiIiIiIiIiIKFQwMUFERERERERERERERH7DUk5EREREREREREREFxBEOQSXXOowLkoQAz9GogtxxwQREREREREREREREfkNExNEREREREREREREROQ3TEwQEREREREREREREZHfsMcEERERERERERER0YWccgjOIOjfEAwxEl2AOyaIiIiIiIiIiIiIiMhvmJggIiIiIiIiIiIiIiK/YSknIiIiIiIiohDhcokQBEAQBKlDISIKejKXDDJX4F/XHQwxEl2IiQkiIiIiIiKiIPfxZ834reFjfGY9h/AwAVekT8E9+UugVERIHRoRERHRIExMEBEREREREQWxz6wteGBzDbq6XQAAp1PE62+dwqHDrfjto1cgOppv/YmIiCiwcJ8PERERERERURDb+cd6d1Kiv0NH2vCvymMSREREREQ0PF42QURERERERBTEGg6e8zhnHWaOiIiGJ7hkEFxyqcO4KIE9JigI8aeWiIiIiIiIKIjFxHi+5pBlnIiIiCgQMTFBREREREREFMS+8PlpHueuH2aOiIiISCq8dIKIiIiIiIgoiN2Wo4LlYCv+u/eMe+z/27uf3TaydVHsn3z6BmcQBJQ6uOfs4NzBLiWZBAcBSHsjwAUyMfkGZHuaO7D4BiQ8zMihXiAg/QQ2+QakJ5kEOW1xEOAOEoTswdnAxkXQUuVmkr13S8zAIA9FWxZJU8Uq8vcDiC7J9eerEmuxen1c6zs5ibj4H/6r+Mf/5nSPkQEU28nsWSGmSTqZ5T9GWCUxAQAAAAX2r/7Vs/gf3/y38b/+0/8d/8f/9R/jP/lXz+IPlf88/uv/8j/bd2gAAF8lMQEAAAAF9+zZSfzb/+5fx7/97/71vkMBAHiUcT4AAAAAAEBmjJgAAAAAAFjx7O5v4tnd3+w7jEcVIUZYZcQEAAAAAACQGYkJAAAAAAAgM6ZyAgAAAABYcXJ3Eid3+f9e98ndyb5DgI3l/84CAAAAAAAOhsQEAAAAAACQGYkJAAAAAAAgM2pMAAAAAACsOLn9m3h2+zf7DuNRJwWIEVYZMQEAAAAAAGRGYgIAAAAAAMiMqZwAAAAAAFY8mz2LZ3f5/173s1n+Y4RV3rUAAAAAAEBmJCYAAAAAAIDMSEwAAAAAAACZUWMCAAAAAGDFyd2zOClAjYkixAirvGsBAAAAAIDMSEwAAAAAAACZMZUTAAAAAMCKZ7fP4tnt3+w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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 1769, "width": 787 } }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(3,1, figsize=(8,18))\n", "fig.suptitle('Isochrone potential', fontsize=36)\n", "fig.subplots_adjust(top=0.92, bottom=0.08, right=1.05, left=0.1, hspace=0.3, wspace=0.4)\n", "fig.patch.set_facecolor('white')\n", "\n", "cmap = plt.cm.turbo\n", "vmin = 0\n", "vmax = 30\n", "\n", "cNorm = mpl.colors.Normalize(vmin=vmin, vmax=vmax)\n", "scalarMap_rapo = mpl.cm.ScalarMappable(norm=cNorm, cmap=cmap)\n", "scalarMap_rapo._A = []\n", "\n", "axs[0].set_title(r'Leading $|\\Omega_r|$')\n", "axs[0].scatter(an_Om_r, delta_om_r_real, \n", " c=rapo, s=3, vmin=vmin, vmax=vmax, cmap=cmap)\n", "#-------------------------\n", "axs[1].set_title(r'Leading $\\Omega_\\varphi$')\n", "axs[1].scatter(an_Om_phi, delta_om_phi_real, \n", " c=rapo, s=3, vmin=vmin, vmax=vmax, cmap=cmap)\n", "#-------------------------\n", "axs[2].set_title(r'Leading $\\Omega_\\varphi$ with $|\\Omega_\\varphi| > |\\Omega_r|/2$')\n", "axs[2].scatter(an_Om_phi, delta_fund_om_phi_real, \n", " c=rapo, s=3, vmin=vmin, vmax=vmax, cmap=cmap)\n", "#-------------------------\n", "\n", "# for i in range(2):\n", "axs[0].set_xlabel(r'analytic $\\Omega_r$')\n", "axs[0].set_ylabel(r'$|\\delta \\Omega_r/\\Omega_r|$')\n", "axs[0].set_xticks(np.arange(0, 1.1, 0.25))\n", "\n", "axs[1].set_xlabel(r'analytic $\\Omega_\\varphi$')\n", "axs[1].set_ylabel(r'$|\\delta \\Omega_\\varphi/\\Omega_\\varphi|$')\n", "axs[1].set_xticks(np.arange(-0.5, 0.51, 0.25))\n", "\n", "axs[2].set_xlabel(r'analytic $\\Omega_\\varphi$')\n", "axs[2].set_ylabel(r'$|\\delta \\Omega_\\varphi/\\Omega_\\varphi|$')\n", "axs[2].set_xticks(np.arange(-0.5, 0.51, 0.25))\n", "\n", "for i in range(3):\n", " axs[i].set_ylim(1e-9, 10)\n", " axs[i].set_yscale('log')\n", " axs[i].set_yticks([1e-9, 1e-7, 1e-5, 1e-3, 1e-1, 1e+1])\n", " \n", " cb = fig.colorbar(scalarMap_rapo, ax=axs[i], pad=0.02, aspect=20)\n", " cb.set_label(r'$r_\\mathrm{apo}/a$', fontsize=28)\n", " cb.ax.tick_params(labelsize=20)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "5c3cef90", "metadata": {}, "source": [ "We see that for the radial component, we are good with the leading frequency (top row). But for $\\Omega_\\varphi$, the leading frequency is not the fundamental one for some particles with large $r_\\mathrm{apo}$ (middle row). Requiring $|\\Omega_\\varphi| > |\\Omega_r|/2$ and taking the leading frequency respecting this condition, we approximately recover the fundamental one for all orbits (bottom row)." ] }, { "cell_type": "markdown", "id": "240169ff", "metadata": {}, "source": [ "## Complex time-series" ] }, { "cell_type": "markdown", "id": "e61e5a2a", "metadata": {}, "source": [ "We now repeat the frequency analysis but defining complex time-series, such that (Papaphilippou $\\&$ Laskar, 1996, 1998)\n", "\n", "$f_r = r + i v_r$\n", "\n", "$f_\\varphi = \\sqrt{2|L_z|}(\\cos\\varphi + i\\sin\\varphi)$" ] }, { "cell_type": "code", "execution_count": 11, "id": "96d61dbd", "metadata": { "ExecuteTime": { "end_time": "2023-02-01T03:48:44.706561Z", "start_time": "2023-02-01T03:48:44.416310Z" } }, "outputs": [], "source": [ "fr = r + 1j*vr\n", "fphi = np.sqrt(2.*np.abs(Lz))*(np.cos(phi) + 1j*np.sin(phi))" ] }, { "cell_type": "markdown", "id": "6779ba10-bbee-48d0-8c2c-8f61cc7892b9", "metadata": {}, "source": [ "Note that for the purpose of extracting the frequencies, the time-series\n", "\n", "fphi = (np.cos(phi) + 1j*np.sin(phi))\n", "\n", ", i.e. without the factor np.sqrt(2.*np.abs(Lz)) would equally work (if not better)" ] }, { "cell_type": "code", "execution_count": 12, "id": "06b77bc1", "metadata": { "ExecuteTime": { "end_time": "2023-02-01T03:51:02.444594Z", "start_time": "2023-02-01T03:48:44.709188Z" } }, "outputs": [], "source": [ "# to store the frequencies:\n", "om_r_cmplx = np.zeros((n_orbs, n_freqs))\n", "om_phi_cmplx = np.zeros((n_orbs, n_freqs))\n", "# to store the amplitudes:\n", "a_r_cmplx = np.zeros((n_orbs, n_freqs), dtype=np.complex128)\n", "a_phi_cmplx = np.zeros((n_orbs, n_freqs), dtype=np.complex128)\n", "\n", "for i in range(n_orbs):\n", " om_r_cmplx[i], a_r_cmplx[i] = naif.find_peak_freqs(fr[i], t[i], n_freqs=n_freqs, p=1)\n", " om_phi_cmplx[i], a_phi_cmplx[i] = naif.find_peak_freqs(fphi[i], t[i], n_freqs=n_freqs, p=1)" ] }, { "cell_type": "markdown", "id": "3a52b042", "metadata": {}, "source": [ "Now we take the leading frquencies for the complex time-series. Note that now we don't adjust the sign for $\\Omega_\\varphi$, but it is correctly extracted (as shown below):" ] }, { "cell_type": "code", "execution_count": 13, "id": "1cd81b4b", "metadata": { "ExecuteTime": { "end_time": "2023-02-01T03:51:02.459846Z", "start_time": "2023-02-01T03:51:02.447194Z" } }, "outputs": [], "source": [ "lead_om_r_cmplx = np.zeros(n_orbs)\n", "lead_om_phi_cmplx = np.zeros(n_orbs)\n", "fund_om_phi_cmplx = np.zeros(n_orbs)\n", "\n", "for i in range(n_orbs):\n", " lead_om_r_cmplx[i] = np.abs(om_r_cmplx[i,0])\n", " lead_om_phi_cmplx[i] = om_phi_cmplx[i,0]\n", "# lead_om_phi_cmplx[i] = np.sign(Lz[i,0])*np.abs(om_phi_cmplx[i,0])\n", " \n", " # select the leading frequency which is > Om_r/2:\n", " idx_fund = np.where(np.abs(om_phi_cmplx[i])>lead_om_r_cmplx[i]/2.)[0]\n", " fund_om_phi_cmplx[i] = om_phi_cmplx[i][idx_fund][0]" ] }, { "cell_type": "markdown", "id": "e4173fa4", "metadata": {}, "source": [ "Finally, the relative errors:" ] }, { "cell_type": "code", "execution_count": 14, "id": "e4075a4c", "metadata": { "ExecuteTime": { "end_time": "2023-02-01T03:51:02.471168Z", "start_time": "2023-02-01T03:51:02.463857Z" } }, "outputs": [], "source": [ "delta_om_r_cmplx = np.abs((an_Om_r - lead_om_r_cmplx)/an_Om_r)\n", "\n", "delta_om_phi_cmplx = np.abs((an_Om_phi - lead_om_phi_cmplx)/an_Om_phi)\n", "delta_fund_om_phi_cmplx = np.abs((an_Om_phi - fund_om_phi_cmplx)/an_Om_phi)" ] }, { "cell_type": "markdown", "id": "87bd478b", "metadata": {}, "source": [ "And the plot below compares the estimates for both the real and complex time-series:" ] }, { "cell_type": "code", "execution_count": 15, "id": "85b12a75", "metadata": { "ExecuteTime": { "end_time": "2023-02-01T03:51:03.434912Z", "start_time": "2023-02-01T03:51:02.475331Z" }, "jupyter": { "source_hidden": true } }, "outputs": [ { "data": { "image/png": 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Y9XngON/4Q1df+J/qfsO8JP3xd76vv/Ozv6atl74+wZwBAAAgzogvo434EgAAAAhGlOecd11X2WxWlmWNNMd8o9E4dD74/niiN/rWoDY3N/3lfD4/dL4m4c6dOyqXy8pms9rc3DywYf4gvcb6K1eujNSzvqdUKuny5cuB71cYaJwfQr1e95cvXLigxcVFPfXUU/7whL3CMj8/7xeUmzdvTjDHs6PXu2R9fV2Li4uHfm7vMCKjDCWC2fKrz9/SH//x9/f93fOkf/qPX5pAjgAAADANiC+ji/gSAAAAmA0rKysqFosjNcxLO7FDb97zvQzD8Bvo++O/QdRqNUk7w+OPmrdxsyxLiUTiwGH+hzFIY32P53kyTVONRiM2DfPSDA1r/8ILL+hTn/rUidK4fPmyEonEoU/P94ZhuHLlil5++WXZtn3oEzMIT2+4j0GG+ej1VAEO840/vHfoe3/4qju+jAAAACAyiC9nB/ElAAAAcDLbCWk7xK7C24njP3OQbDbrN6AP8qBt//2+4zi6efOmWq2WlpeXD13Hsiy/YX59fV2lUunY7TiO4z8w3D9aV9T1Ytagh5XfOwy+bdsqFou6e/euyuVyrBrle2amcf7atWu6fPmyvvSlL+mjH/3o0Ot/8YtflOu6SqVSA30Zzp07p3Pnzo2SVYzANE3lcjl/3o7DKk72VpZQuYXjnHnvDx363nvf9+4x5gQAAABRQXw53YgvAQAAgOmWz+f9BvBhe7Xvddic8733KpWKisWiyuXykfFFT7FYlLQzLP5xU21FieM4ft7DZJqm2u228vm81tfXde/ePf3Df/gPQ99ukGZmWPsrV65obW1Nn/jEJ/T5z39e3/nOdwZe98aNGyqVSkokEqrVanrooYdCzClGVavV1O12ZVnWoZ/Z2tryl6k4wSD+wn/7kzp9+uBL5afyVJACAADMIuLL6Ud8CQAAAAQjanPOl8vlEzfI9ySTyWMb2wuFgt9jfmVl5cgRt8rlsmzblmma/tD2cZFMJtXpdMa2vVqtps9+9rOqVCp6+umnx7bdIMxM47y08wW4c+eO3vOe9+iDH/ygHn/8cb3wwgtHrnPp0iVls1lJ0ubmph577LFxZBUh6Z/rIm4XNkzG2T/3w/q5n/+LetefeZv/t7m5hAr/43+llU/+2ARzBgAAgEkivgTxJQAAABA/rVYrsLSO6jXfz7Is1Wo1OY6jxcXFfQ8HtFotZbNZf+j7RqMRWB7HZWFhwR+NYFwqlYo+9alPybIsvfjii2Pd9kkkPM/zJp2JSXn++edVqVR0/fp1pdNpmaappaUlSVKz2ZRt22q32zJNU5VKRYuLixPOMU7Ctm2/IqxWqwUyHMirr76qRx99VJL0yiuv6JFHHjlxmoim+/e+q3/zO9/QDx68qR/7P31A7/8APZwAAMBouIecTsSXsyXo+JLrAgAAAEYR1fvI/nz93q9l9CPvf0do2/rDb31f/8lfaEqK1jE4TL1eV6VSkeM4fk9zwzC0uro60LD3UVUsFvWlL31Jtm3rE5/4xFi3nclkdOvWLXW73ViMTjfTjfM99+7dk23bunnzphzHkeu6SiaT/pchanP75fN5GYZx5PB6w5rWi4G0Mw9gtVpVuVz2K8IGfZrpOFH94QMAAEB0cQ853YgviS9HwXUBAAAAo4jqfWR/vv7Nr4ffOP8Tfz4+jfPT6vr168pms/rwhz+s3//93x/rth3H0Yc//GE9+eSTsZh//vSkMxAF8/PzunDhgi5cuDDprBzJdV2trKyo1WoF0utb2hkqY2VlRdLOsBoXL170K0ps21a5XFa5XJZlWf6cGHFQrVZlWZYcx/H/VqlUVCgUJpgrAAAAANOO+JL4EgAAAABmzcrKigzDULvd1qc//Wl9+ctfHtu2DcPQU089pS9+8YsqlUr60Ic+NLZtj2Km5pyPq1arpWKxqFQqFehcGOvr68pkMjIMQ91ud18PBtM01Ww2VSqVVC6Xlc/nA9t22AqFgtrttjzPU7fbVaPRkGVZSqVSWl9fn3T2AAAAAGAiiC+HR3wJAAAAjM6bC/+FaCiVSvI8T7VaTZ///OfHuu2nn35anuepWq2OdbujoMhGjOu6Wl9fV7FYVDabVSqVUiaTkW3bMk0zsO30ei0YhqHr168f+VnLspTL5VSv11UsFgPLw7gkk0m/IsgwDJXLZWWzWbmuO+msAQAAAEBoiC+DR3wJAAAAAAcrFApaXFyUtDPa2BNPPDG2bc/Pz8s0TdVqtbFtc1Q0zkeM4zgql8va3NyUtFOQG42G2u12YD0LXNf106rVagPN97exsSFpZzg/27YDyce4JZNJfz9s245VTw0AAAAAGBbxZXiILwEAAIDBeHPSdogves5HS6PRkOd5kqRr167pve99r1588cWxbNswjF3TkUXVzMw5v7GxIcdxdP78eaXT6cjON5BOp/1CG5ZyuSzXdZVOp5VOpwdaJ5lMqlQqaX19Xfl8Xt1u99DPtlotXb16Najs7pLNZk/Uw6O3z61WS7Ztq16vBza/IgAAAIDZQHz5FuJL4ksAAAAA6DEMQ1euXNGTTz6pRCKhTqejXC6nbDarSqWiD37wg5PO4sRFonH+1q1bqlQq2trakuM4/nBwyWRShmHIMAydP39ehUJBDz300EjbMAxDjUZDtVpNjuMokUjINE2l0+nIV6gEyXVdf76F1dXVodZdXV3V+vq6XNc9chjESqUS2pwOruueePhF0zT9uRXX1taoPAEAAACmCPHl+BBfEl8CAAAAx/ESnry58B4a9hLhPpCM4RUKBTWbTW1sbCiRSMjzPDUaDRmGoWw2q3K5rE984hOBb9e2bRmGEXi6QZvoYA8vvPCCzp49q0wmo2q1qmazqW63K8/z5Hmeut2ums2m6vW6yuWyUqmUHn/88ZGGP1hZWdHm5qZu376tbrerq1evan5+XpZlKZ/Pa2lpSadPR+JZhVD1hjOUNHCvhoM+b1nWoZ+rVCr+OQz6ValUht/pPZaWlvxl13VjMcQFgNnzYNtT89tv6iuvPtDXum+G3usNAIC4I74cP+JL4ksAAAAAOEilUtHa2po8z/Mb6HuN9KZp6syZM1pdXdULL7yg+/fvn3h7v/iLvyjHcYaOTSdhIo3zd+/e1eOPP658Pq92u+2fEElKJBK7XpJ2Bc+2bSuXy+nMmTN67rnnRtr+/Py8crmcNjc3deHChV3pT7v+yodRnh7pzR9o27bfAyUKstmsEonEQPP8LSws7Po/lScAouYbf7qt//43v6e1/9/3dWnrDf2Vf/F9/Y+/9X195wfT/zsFAMCwiC8nh/iS+BIAAAA4TpjzzfdeiKZKpaKnnnrKb6Dvb6Tvdruq1+vK5/NKpVI6f/68Ll26pBs3bgzdWH/p0iWVy2UlEomhR3WbhLEX2evXr2tpaUm2be86Gf2VJf32vt9/0gqFgv7cn/tzI/V06PnkJz95kt2Jnd5we9JolSf962xtbQWSp5Oq1+uybdtfrtfrE84RAIzuwbanv/nb39cf3N9dof/b/2Fb/6+X35hQrgAAiCbiy8kivgQAAAAAHMWyLG1ubh74EH3/w+3NZlPr6+vKZrNKpVI6e/asVldX9cUvflEvvPCCbt26pbt37+ru3bu6ceOGXnjhBX3uc5/TqVOntL6+rkQioXQ6rU996lMT3uPjjXWcvevXr+uTn/zkrkoTSUP1KOivYPE8T7dv31Yul1Mmk1GtVtMHP/jBofIUh7kHgtJfcdLroTAswzD8dHpDT0TNcfvW6XR2/X95eTnE3ADAcG69vr2vYb7n+jfe1B99z9P73rm/sQEAgFlDfDlZxJc7iC8BAACAo4Xdu52e89GXy+XU6XSUz+d1/fp1PxbfG5P3x/PtdluO4xz7wHR/o//GxkYIuQ/e2Irs3oqT3kGen59XoVBQo9FQu91Wt9vV9va2/2q322o2m6pUKsrlcpqfn/fX7X+yYmtrS4Zh6Omnnx4qX3uHoJtmvaf/pdErjfrX66+MmaTe/BHpdFqWZR1bodNoNPxl0zRHrkgCgDB8+/tHNyh8+3vTP0QuAADHIb6cPOLLHcSXAAAAAHC8ZDKpRqOhK1eu+LF4v70j3e3tWX/Qq9+1a9f0sY99bIx7NLqxNM7fu3dP+Xx+V8WJaZpqNpvqdDq6cuWKVlZWtLi4qPn5+V3rLi4u6ty5c1pbW9Pm5qY6nY7a7baeeeYZLS4u7noiwvM8WZal9773vScainBatdttf3nUSqMzZ874y1GZS88wDOVyOS0vL6tUKh35Wdd1dz1lY1lW2NkDgKH8yJ85vFf8nKSHj3gfAIBZQHwZDcSXxJcAAADAILbnvNBfiI9CoeDH7r04/LAR8A5qsN/beG8YhprNplZWVsa8J6MbS+N8Pp+X67qSpPn5eTUaDV27dk3nzp0bKb3FxUWVSiXdvn1b7XZbTz31lF/p4nmeOp2OcrmcnnjiCX39618Pajdib+9weycVlcoTSarVatra2lKxWDzyc2tra/5ypVLxe0UAQFT8RGpOH3/fwT/PFxZPK/l2GucBALON+DIaiC+JLwEAAABgVIVCQbdv31aj0VChUNg1st1BveP3/n1+fl6WZen27dsj1wdMSuiN888//7xs21YikVA6ndadO3cCfXphcXFRlmWp0+no2rVrftqe56nRaPhDEd6/fz+wbcZVf2XHqEPtRXmIvuvXr0uSUqmUyuWyWq2WXNeV67qybVuZTEb1el3pdFrNZlOFQmHCOQaA/RKJhH7x/Dv0X3/glP+3OUn5xdP6wkfeNrmMAQAQAcSX0UF8SXwJAAAADMJLvDXvfBgvj75MsbaysqIrV674I9tZlqVCoaBcLqd0Oq3FxUUtLi4qnU7LNE1ZluWPnPfUU09NOvsjOR32Bi5fvqxEIiHTNPWVr3wl1G2ZpinTNHXv3j39wi/8gjY2NuS6rp555hlZlqX19XWtra3poYceCjUfUdXrXRJ0mlGpUEkmk6pUKiqXy/6/juPIcRwlk0ktLy+rUqmEVmny2muvBZ7mI488EniaAKLvPW9P6O/9p+/QH313W3/0fenhdyWUegd3mQAwKa+++mqg6YVx3zgriC+jg/gyvPiS2BIAAGB6EV8Ch1tcXIxtg/swQm2cv379ulqtllKplGq1Wpib2qU3lIFlWbp+/bo2NzdVq9X01FNPqVQqKZ/Pq1gs6hOf+MTY8jStOp1OZCpPegzDmMhcfx//+McDT/OweTYAzIb3vWtO73vXpHMBAHj00UcnnQWI+HIWEF/uILYEAACYXsSXAEJtnLcsS4lEQtevX59Yb4KVlRWtrKyoUqnItm01Gg1dv35dKysrSiQSMgxjIvmahCDmBFxYWAggJwAAAAAwHOLLaCG+BAAAADCI7TlP23PhPSwaZtpAGEJtnLdtW9lsVh/72MfC3MzAesMS9rz88sv+sHTtdjtyT+iHiUqQ4L300kt6+OGHJ50NAAAABOyVV14JNL3XXnstlJ6x0474MrqIL4NFbAkAADC9iC8BhNY4f/36dUmayPDigzp37pzOnTs36WxMxKi9HPauRyXMWx5++GHm8QMAAJhC3ONNHvFltBFfBovYEgAAYHrN4n3e9tzOK8z0gTgJrcg2Gg0tLS1FplcDAAAAACCeiC8BAAAAAMA0CK1xvtVqKZfLhZU8RhBGL4RZGqoRAAAAwGQQX0YP8SUAAACAQWwnwn8BcRJa43yn01E2mw0reYyAig4AAAAAcUR8GT3ElwAAAAAQH7du3dKlS5d048aNSWdl5oU257zruswXFzH958N13ZHS6F+PyhgAAAAA40B8GT3ElwAAAAAGsTPnvBdq+jheLpfTnTt3tL6+rmQyqYsXLyqfz+uxxx6bdNZmTmhF9s6dOzIMI6zkMYL+89HpdE6cHpVjAAAAAMaB+DJ6iC8BAAAAID4WFxfleZ48z1O321W1WlU2m9WZM2f09NNP69atW5PO4swIrXHe88J7CgajWVpa8pdH7dnQbrf9ZSrHAAAAAIwD8WX0EF8CAAAAGISX6PWeD+flMef8QBqNhjY3N2WapiTtaqi3LEuZTEZnz57Vs88+q7t37042s1MutMZ5wzDkOE5YyWME6XTaXx61Z0P/ev3pAQDQ8+rNm/oX1jO68fN/V+0b12lQAQCcGPFl9BBfAgAAAEC85HI5Xbt2Td1uV88884wfh/Ua6h3HUalU0tLSks6fP6/nnntO9+/fn3Cup09ojfPJZJLKk4hZXl72l0ft2dB/Ts+fP3/SLAEApsyNn/+7+qX//D/TtZ/9WV3/uZ/TP3r8cf3qk09qe3t70lkDAMQY8WX0EF8CAAAAGMR2wgv9heHMz8+rVCppa2tL7XZbTz31lAzD8BvpPc9Tq9VSoVBQKpXS448/rhdffHHS2Z4aoTXOLywsqNFohJU8RpBMJnf1Rhilcqt/nd7QFwAASNK//fV/pus/93P7/r71j57Tv/qlXxp/hgAAU4P4MnqILwEAAAAg/hYXF2VZlm7fvq1ms6m1tTUlk8ldDfW2bSuXy+nUqVP69Kc/rRs3bkw627EWWuN8NpuVbdthJY8Rra6u+svDnh/Xdf0eEaZpKplMBpgzAEDc/c6Xrx7+3tUvjzEnAIBpQ3wZTcSXAAAAAI7z5lz4LwTj3LlzqlQq6nQ6ajQaunDhgiTtaqiv1WrKZrM6c+aMPv/5z+vWrVuTzXQMhVZkTdOU4zj66le/GtYmMIJcLucvD9vzZHNz01/O5/OB5QkAMB2+d//eEe8xNxEAYHTEl9FEfAkAAAAA02llZUW1Wk3b29va3Nz0RzvrNdK7rqtKpaJMJqOzZ8/q6aef1t27dyeb6ZgIrXH+3Llz8jxP5XI5rE2cyN27d/XCCy/oi1/8oj73uc/p8ccf16c//elJZyt0hmH4FSj1en2odWu1mqSd4QsLhULgeQMAxNsHfuInRnoPAIDjEF9GE/ElAAAAAEy/XC6na9euqdvt6sqVK0qn07t60zuOI8uytLS0pPPnz+vZZ5/VfTprHSrUwR4uXLigZrOpF198MczNDOT+/fv60pe+pNXVVZ05c0ZLS0v67Gc/qy9/+cuqVqtqNBp+5UBU9Yb827s8LMuy/OX19fWB1nEcxx+mcGNjY+RtA8C0+D/+wNOl2psq/vKb+n+++Ka+9ofepLM0cf/F//x/1/wjj+z7+zve8x499rP/jwnkCAAwTYgvg0V8CQAAAGActufCf2E85ufnVSgUtLW1pW63q2eeeUaGYexqqG+1WiqVSkqlUnr88cf13HPPTTrbkRNqkX366afleZ7y+by+/vWvh7mpQ73wwgt6/PHHlUqlVCgU1Gg0tLa2ptu3b6vT6ah6WC0VAAEAAElEQVRarcrz4tGg0j9M4NbW1sjpGIahSqUiSSqXywNVxBSLRUk7T8f0D10IALPoxea2fu5Xt9W8K935tvRbt6W/9Svb+q3b8fg9CcsPve99Wvvqb+rD2azmTp9WYm5Oj3784/rsja/qfT/2Y5POHgAg5ogvg0V8CQAAAAAY1fz8vEqlkm7fvq12u62nnnpKyWRyV0O9bdsqFAo6deqUVldX9cILL0w625FwOszEz507p3Pnzunll19WNptVs9nUe97znjA3KUm6deuWLl++7A+r53meDMOQZVm6cOHCrs8mEonQ8zOsarXqL7uuq3a7ra2tLbVarV1/T6VSunjxopaWlpRMJv33Ll68uOv/BykUCmq321pfX9fKyoquX79+6Drlclm2bcs0zcj3/gCAsH37O56qv7m/0n3bk/7eP9/WP3lyTm8/Hb3flnFJfehD+ulf/w29+eCB5Hk69ba3TTpLAIApQXw5GuJLAAAAAJPkJTxtJ8J7iNkLMW0MZnFxUZZlybIsvfzyy7py5Ypqtdquh7fr9bofVxeLReVyOT322GMTyvFkJbyQH+u3bVuf/OQnlUgktLS0pEajoQ9+8IOBb+f+/fva3NyUZVlyHEfSTqVJMpmUZVlaW1s7cL2XX35ZmUxG0k5Fyptvvhl43oaVSqX29TY4qjJk72fb7bYMwxhoW/V63T82Gxsbu3ottFotv+KkVCrtGq4QO1599VU9+uijkqRXXnlFjxwwnDOA6fH1b72pr9x6oPqWpLedkg6ogK/81Tktvi96FfOYfn/y3W39H//6u/r2vTf1/oXT+s9/8p165zsY1wuIIu4hR0d8OTziy3jgugAAAIBRRPU+sj9fX7n1k3r/n317aNv61jfe0OMf+x1J0ToGkK5fv64rV67o+eef3/X33oPtyWRSxWJRFy9e1Mc+9rEJ5HAyQm+cl6R8Pu8f+EQioWq1qs985jOBpH3jxg1VKhX/aQtJ/jCCxWJRv/RLv3Tk+lGsPJmEer2uSqUix3HU6XQk7QxPuLq6qkKhcGxPiVkV1R8+AMF6801P/+DFP9U/v/mG/zdvLiHvPX9mp5G+z5f+2px+9AyN8xivu9/4gf72P/y2vu2+dR/zyA+f1s9//r36wHtDHSgJwAi4hzwZ4svoI74cHtcFAAAAjCKq95H9+fr13wm/cf7P/ySN81FXr9dVrVZl2/auv/ca6g3D0JNPPqkLFy7oQx/60ARyOD5jaZyXdp7Wv3//vjzP83s5WJaln/qpnxo6rRs3bqhWq2lzc9N/qr9/N9LptDY2NnTu3Llj06LyBCcR1R8+AMH6X7/yXX35xvf2/d1LJOSlfkia2+md/L73SP+4MKdTczTOY3x+8MDT2t/9pl779v57mLOPvk3/oPTDkRxmGZhl3EOeHPElpg3XBQAAAIwiqveRNM7jMPfu3VOlUtHm5uau6db66y/T6bSefPJJ5fN5PfTQQ5PIZqjG1pXq+vXrWl5eViKRkOd5un37tj/EnWmayufzMgxDCwsL/pB5vafsXdfVzZs3Zdv2rhPVqzDpH/7gqCEGAQAYlud5+rXf+v6B7yU8T973H0jverve+TbpZ/4CDfMYv397940DG+Yl6Q9e+YFe+dYD/egH3jbmXAFAuIgvAQAAACAetiVth1hluh1e0gjB/Py8SqWSSqWS7ty54w9735tSTtqZFq1QKKhQKMg0TT355JMjPYwfVWNrnE+n09ra2vIrUKS3Kj9s2943jMFB9nby71XEeJ6nQqEgy7I0Pz8/VL56Q+wBAHCQHzyQ/vi7hw8y82cf2lb6xxP6S+kEw9ljIv74T48OQb5zzPsAEEfElwAAAAAAxNvi4qIsy5JlWXr55Zd15coV1Wo1f1Q7aXeMn8/nVSgU9Nhjj00ox8GYG+fGehUoDz30kD/8YH8FyHEvSf460k5limmaajabunLlytAVJ5J2PYkBAMBeb39bQgvvObzR/S//l6f1N7LMM4/J+dEPHP6s5dzcztzzADCNiC8BAAAAIPq256Q3Q3xtj7WlE2E5d+6cKpWKOp2OGo2GLly4IEm74vharaZsNqszZ87o85//vG7dujXZTI9o7EU2nU7r7t27unDhgn8wexUig7x666TTaTUaDV27dm2guf8OU6vVmIcVAHCkTz/2zgP//iPvndN/9ZHw5ksCBvEjP/w2/fn/4ocOfO+i+R7Nv/vUmHMEAONDfAkAAAAAwHRZWVlRrVbT9va2Njc3ZZqmpLca6l3XVaVSUSaT0dmzZ/X000/r7t27k830ECbyPMn8/LxqtZquXbumlZWVA3sw9PT/fX5+XoVCQc1mU1tbW1pZWRlp+7du3dKlS5d09uxZ2bbtbzOdTp943wAA0+cv/mfv0F/7v75Lb+vrgPxjj57Sz3/m3XrXO6iAx+T99YtJrX7yPXrn23fK4w+9K6Gf/osP6X/4Cw9NOGcAED7iSwAAAACIru1E+C9Mr1wup2vXrqnb7erKlStKp9O7YnvHcWRZlpaWlnT+/Hk9++yzun///qSzfaSEt7e2YgLu3bunarWqmzdvynEcOY4j13WVTCZlGIaWl5eVzWb9IQxGsbGxoWq1qlar5feMWF5eViaT0fLy8ol6R2B2vfrqq3r00UclSa+88ooeeeSRCecIQJj+5HueXnv9Tf3QOxP6wMIcPeMQOdvbnv70e55+6F0JyicQYdxDhov4EnHEdQEAAACjiOp9ZH++fvVrP6kf/pHwRh/9D3/4hv7Sj/+OpGgdA4Tn3r17qlQqqlaru6aX668PNU1TFy9e1Gc+85lJZPFIkWicH4fnn39enU6HihIEKqo/fAAAAIgu7iHjj/gSQeO6AAAAgFFE9T6yP1/P/174jfMX/hMa52fVnTt3dOXKFW1sbMh1Xf/v/Q31uVxOq6ur+tSnPjWBHO53+viPTIeT9IoAAAAAAKCH+BIAAAAAgMlbXFyUZVmyLEsvv/yyrly5olqttquhvl6vq16vS5KKxaJyuZwee+yxCeV4QnPOAwAAAAAAAAAAAAAQhHPnzqlSqajT6ajRaPgP1vfPUV+pVJTNZnXmzBk9/fTTunXr1tjzSeM8AAAAAAAAAAAAgMBtz4X/AvZaWVlRrVbT9va2Njc3ZZqmpLca6rvdrizLUiaT0dmzZ/Xss8/q7t27Y8kbRRYAAAAAAAAAAAAAMHVyuZyuXbumbrerK1euKJ1OS3qrod5xHJVKJS0tLen8+fN67rnnQs0PjfMAAEw5z/P0vz34XT31vV/V3/heTf/fN/6FXO+7k84WAAAAAAAAgCm3nZDeDPG1nZj0HiIu5ufnVSgUtLW1pXa7rWeeeUaGYewa9r7VaqlQKOj06dOhDXlP4zwAAFPM8zxdfuOafvENW7+9fUcvb7+qqw9aWvveP9W3vT+edPYAAAAAAAAAABirxcVFlUol3b59W81mU0899ZSSyaTfSL+9va2rV6+Gsu3AGue/+MUv6vz583r22Wd1//79oJIFAAAn8C/fbOs33vy9fX//pndf/583fnP8GQIAYADElwAAAAAwHbYT4b+Akzh37pwsy1Kn01Gj0VChUFAul1OxWAxle4E1zv/CL/yCWq2WSqWSUqmUPyY/FSkAAEzOre1XD3/vzT8cY04AABgc8SUAAAAAABi3lZUVXblyRZubm/rQhz4UyjYCa5zf3NzUxz72sX1j8qdSKT3xxBN68cUXg9oUAAAYkCdvpPcAAJgk4ksAAAAAmA5vKqE3EyG+RNd5xEtgjfOmaarZbKrdbuupp57S4uKiX5HSaDSUy+V06tQpff7zn9eNGzeC2iwAADjCR+ceOfy9Uz8yxpwAADA44ksAAAAAADCNAmuc71lcXJRlWbp9+7aazabW1tY0Pz/vV6RUKhVls1mdOXNGTz/9tG7duhV0FgAAwH/0fzn1YWVP/di+v/9w4t36G2/7r8efIQAAhkB8CQAAAADxxpzzwG6BN873O3funCqVijqdjhqNhi5cuOBXonS7XVmWpUwmo7Nnz+rZZ5/V3bt3w8wOAAAzJ5FI6Gff/oT+5ts+oeW5H9VH5v6sPnX6Y9p451/WD8+9Z9LZAwBgYMSXAAAAAAAg7hKe5419wtl6va5qtSrbtt/KSGLn0ZZ0Oq0nn3xS+XxeDz300LizBgzl1Vdf1aOPPipJeuWVV/TII4cPHw0AwKzpuG/oH/3KK/q93/+OTp1KKPOTSf0PFx/Ru955atJZAyaKe8hgEV9iGnBdAAAAwCiieh/Zn6//9fbH9N5H3h7atr796hv6qx++JSlaxwA4TKg95w+Ty+V07do1dbtdXblyRel02u/x0Gq1VCgUlEql9MQTT+jFF1+cRBYBAABwAl33Df31p/+NvvKbf6RXvvE93X3lu3r+n72mL/yd39P339iedPYATBHiSwBA3HzvDU+/8a++r41f+1Nd/er39M3Om5POEgAAQGzdv39fd+/e1a1bt3Tr1i3dv39/0lk60kQa53vm5+dVKBS0tbWldrutZ555RouLi35FSqPRUC6X06lTp/TpT39aN27cmGR2AQAAMKBfvvqq/uj1N/b9/fedP9Gv/sY3J5AjANOO+BIAEAev39/W3/gH9/X3X/hTPf8vv69f/uffVfHv3ddL//YHk84aAACheDMR/guz58aNG/rc5z6ns2fPKpVKaWlpSZlMRplMRqlUSqdOndLq6qq+9KUvTTqr+0y0cb7f4uKiSqWSbt++rWazqaeeekrz8/N+RUqtVlM2m9WZM2f0+c9/Xrdu3Zp0lgEAiKVveB39kwe/qf/lB/9MLz74LX3H++6ks4Qp9G9v//FI7wFAEIgvAQBR9ezmn+jf/4fdI0l9/wfSM//0j9X9DiNMAQAAHOXGjRs6e/asstmsqtWqHMfxY/29r3q9rmKxqDNnzui5556bdNZ9kWmc73fu3DlZlqVOp6NGo6G1tTX/QHa7XVUqFWUyGZ09e1bPPvus7t69O+ksAwAQC1tv/oH++htX9E/f/Bf69e0tfenNa/qf3qjoNa8z6axhypw+dfhjy0e9BwBBI74EAETFn3zXU+sPHhz43p9+X2r+Ab3n99re3tbv1uv69S/8Lf3znynr9nV70lkCAAAT8rnPfU7ZbHZfg/xh+mP/QqGgJ554IhJD3keycb7fysqKKpWKtre3tbm5KdM0/YPZbrdVKpW0tLSk8+fP67nnnovEQQUAYNw8z9PLf/Jd/eM/6mrz9Xt67Y39lTr3vT+V9eB5fV+73/sj3dP6D1448kYGGFbmo/MjvQcAYSK+BABM0p9+/+iY67vHvD9r3nzwQL+yelFf/u8+rf/97/99/ctnn9UvP/GEfqP01KSzBgAYwnZC2k4kQnxNeg8xDufPn1e1WpXneVpcXFQul1OlUlGtVlOz2dz1ajQaqtVqKpVKMk1Tkvzp7paXlyce60e+cb5fLpfTtWvX1O12deXKFaXTab8ipdVqqVAoKJVK6YknntCLL7446ewCADAWb3qevvDvv6n/5t/9e/3tV/6D/tbXv6n/89fu/P/Zu++4pu/8D+CvbwYbEqZbIbhtqwTssFMJ2n21gtpex11boHudgrZ37V2Xhtb27roEOq67BbT9dReC9rqrDO3SKgTcixH2SvL9/cERiSTMLOD1fDzyeMDnk+/n+44GyOfz/gx8XNtg9byfzJVoRpvNNvaIh1ADbjVOjnPdsok4bWZgj/JF54Zi8YXhboiIiMga+5dERORqIUECFP72MwiqcTIXRuP5vnl6A3774IOe5c88g1/5t5mIiGjUWLJkCYqLixEfH4+CggKUlZUhJycHycnJWLZsGWJiYqwe8fHxWLZsGdavX4/8/HzLBP3IyEiUlZVZEvbuMqyS810UCgVSUlJQVFSE2tparF+/HlFRUZaBlIKCAiQmJkIqlWLlypXYsmWLu0MmIiJymheO1SCn2nq2X6so4p7KI/i95WQyvhXtvbbTKvZeTzQQ3l4SZPxtFm7/0xRctCAU8eeHIe2OaKy5ayokEk5pJiLPwf4lERG5ilQi4NYr/GzWXXiGHLOnSF0ckWfrLQHP5DwR0fBhFgSYnPgwCxxnGsmys7NRUFCAjIwM5OfnIz4+flDtJCYmory8HMnJySgqKsKGDRscHGn/DcvkfHcKhQJpaWkoKytDeXk5Vq9eDYVCYRlIyc3NRUJCAkJDQ3H77bdjx44d7g6ZiIjIod6rrrNZ3i6K+KDmZNI+Whhnt40A+CBCUDo6NBrl5DIJll4yDg/eMw1r7pyKhAvCIbDDREQejP1LIiJytoUxXvjrdf6YFC6BRACUAQKWX+SDVSv8+Vn5FB3NzXbr2pubXBgJERERuUNdXR1SU1ORkZGBVatWOaTNzMxMJCcnIy0tzW3b2w/75Hx3UVFR0Gq1qKmpQXFxMZKTky0DKbW1tcjMzERsbCymTZuGBx54AJWVle4OmYiIaMhqjSb7daaTdVGSMbhUEmfzeamySyAXuEqDiIioC/uXRETkLOed7oXsVQp8sk6Jd/+mxE2X+EIuY2L+VOPOmGu/bq79OiIi8iwmCE5/0MiUk5MDtVrtsMR8l8zMTERFRSE3N9eh7fbXiErOdxcTE4PMzEzU1NQgNzcXiYmJltUO5eXl0Gq1iI6Oxvz587Fhwwa3zY4gIiIaKpW3l926qFPqbpVdgj9J4zEWwfCBHCphLB6ULcci6RnODpOIiGjYYv+SiIicgSvle6d55BH4hoT0KA+bPh3n3n2PGyIiIiIiV8rLy0NGRoZT2k5LS0NOTo5T2u6LIIqi6JY7u0lWVhby8vKg0+ksZV0fhBMSEpCamoqlS5e6KzwaZg4ePIhJkyYBAA4cOICJEye6OSIiGo2+rG/CDWUHceof9Elecnw2cwoUMq6IJyLyJPwMOXKwf0mOwt8LRNSbE43App3A/logyAfQzADiJrk7Kteo2rsXH993L/Z//z2kcjmmJiTg8qefgX94uLtDIyLyCJ76ObJ7XM9VxiJ0orfT7lV9sA13RhYD8Kx/Axq6adOmYe/evU5pu66uDnFxcU5rvzejLjnfpa6uDpmZmcjJyUFJSQkA69mqSUlJSElJwaJFi9wVIg0DnvqHj4hGn88NDXjwwDEc7+jcxv7sAF88M2UcJnrL3RwZERGdip8hRx72L2mo+HuBiOzZXwvc9z5gaLEuv+1cIHGeW0IiIiIP4qmfI5mcJ0cIDQ1FdXW109qXSqUwmewfGessI3Zb+74oFAqkpaWhqKgI5eXlWL16NaKioixbE+bm5iIhIQGhoaG4/fbbsWPHDneHTEREHqq+WcQ/P+7AzS+045YX2vHspx1obHXt3LeLlYHYflo0tp8WjZ/PmIrc6ZOZmCciInIR9i+JiMhZMgp7JuYBIPM7oLLG9fEQERENlAkSpz9oZHLm+vK6ujooFAqntd8bvmMBREVFQavVoqysDMXFxUhOToZCoYAoiqitrUVmZiZiY2MRGhqKBx54AJWVle4OmYiIPERDi4h7X+3AZ6VmHKwWcaBaxMfFZtz3agea2lyboJcIAsZ6yaDkNvY0ComiiC+/OoRH1xfhwb//iP+8uRuNjR3uDouIRiH2L4mIyFGa24Fdx2zXmUVg5yHXxkNERETkSiqVymmT24uKihAdHe2UtvvC5PwpYmJikJmZiZqaGhQUFGDZsmWW1Q61tbXQarWIjo7GtGnTsGHDBtTX17s7ZCIicqO3vzHhUE3PJPz+KhE537p+Sxyi0er5zF/w6PpifPnVYfyw7RjeeHsPbr/3K9Qa2twdGhGNYuxfEhHRUJj7mO9tMrsmDiIioqEwCwJMTnyYux0pRiPLihUrsG7dOqe0nZGRAY1G45S2+8LkfC/i4+ORm5sLs9mMnJwcaDQay0BKeXk50tLSEBwcjCVLluDll192d7hEROQGvx+yPxqy+zBHSohcYXvxcbz/YUWP8kOHm/B85i9uiIiIqCf2L4mIaKACvIHJwfbr54xzXSxERERErrZs2TLk5uZi586dDm1306ZN0Ol0SE1NdWi7/cXkfD8lJiYiPz8ftbW12LhxI9RqtWUgRafTISUlBWFhYdySkIholOltB3m5lLM2iVyhuPSE3bqSXuqIiNyF/UsiIuqvVYsAb1nP8sS5wIwI18dDREQ0UGZInP6gkUmlUiE5ORmLFi1yWIK+sLAQy5cvR2JiIiIjIx3S5kDxHTtACoUCKSkpKCoqQnl5OVavXo2oqCiIooiamhro9Xp3h0hERC4UF23/T2lcNJPzRK5g7mW/T1Nfe4ESEbkR+5dERNSXOWOBZ5cBF0YDkSHAGeOBVQuBW891d2REREREzpeRkQGz2Qy1Wo0NGzYMup36+nrcdtttWLx4MQAgOzvbUSEOmI15l9RfUVFR0Gq10Gq1KC0tRU1NDRYtWuTusIiIyIWuPkuKn/aJ2F5mvYV97FQJKpuluGcz4O8FXDgVWDwD4BFIRI43Z1YINn1gO4E1Z1Yv+4ASEXkQ9i+JiMie6DDgoYvdHQUREdHgmATA5MRBURPHW0c0hUKB4uJixMbGIi0tDWlpaUhNTYVGo4FarUZISAiCgoJ6XFdfXw+9Xo+ioiIUFBQgLy8PACCKIkpKSmxe4ypMzjtITEyMu0MgIiI3kEkF/GOFDF/sMOOX/Z0J+sljJMjdJcGPv578ZPjjPuD348DdF7grUqKR6/xzx+H8BePw9XdHrMoVQV6489bT3RQVEdHgsX9JRERERERE1EmlUqG4uBgJCQmoqKhAZmYmMjMzezxPqVTCYDDYbEMURSiVSuTm5mLevHnODbgPTM4TERENkVQi4FK1FJeqOw+gT/sQMLT0fN7//QycFwWoJ7k4QOphX2s7PqxpRK3RBJWPHEtDg+Av5Wk/w5VEIuBva2OR974e33x/BC0tRkyNVuDP18/EmAg/d4dHREREREREREREQ6BSqVBeXo7U1FS7W9LX1tZafS8IAkSx88hLjUaD3NxcKBQKp8faFybniYiIHEgUgZ8O26/feZjJeXfTGRpxh/4oWrudRf7KcQPenj4RY7340Wi4kkolWJE4FSsSp7o7FCIiIiIiIiIi+h8zJDDBeYtizE5smzxPZmYm1qxZg/Xr1yM3N9fuSnmgc7V8YmIi1q5d61E71HEEmoiIiEaN4x1G3H1KYh4Ayls7cH/FUbw9Y6KbIiMiIiIiIiIiIiKivkRFRVm2tq+oqEBJSQn0ej2qq6sRGhoKpVKJuLg4j0rId8fkPBERkQMJAnDGeKD4gO36ueNdGw9Z+7quGU2nJOa7fNvQgjqjCQqZ1MVRERERERERERERjUwmJ6+cd2bb5PmioqIQFRXl7jAGhO9YIiIiB7v3QkDp27P8ytO4pb0zdYhmvNC6E0vrP8TF9ZtxT9OXqDDVWT2n2WzutY0WO4l7IiIiIiIiIiIiIqKhGrUr5+vr61FTU4OQkBAEBQW5OxwiInKxXeUt+PLHOjQ0mTFlghcuuygYAX6OWTE9XgFsXA68XQzoqwE/OXDRNGDxDIc0TzaYRRH3Nn2JL40HLWUHzI34oeMI3gq8BFOlSgDALD9vu22EyqQIl3PVPBERDRz7l0RERERERLYZBSmMgvPG3JzZNpEzjKrk/I4dO7Bu3Trk5eUBAESxc3WcIAhQqVRITEzEihUrMG/ePDdGSUREzvbx1lo89+ZRiN0WSX/2XwOeWjMFYcFyh9wjPAC450KHNOXRWuvqYGpvh19YGARBcFsc+R37rBLzXRrRgcdbtuHVgMUAgFh/H/whJBD/V9PQ47l/nxwOqRtfAxERDS/sXxIRERERERHRQI2a5Hx2djZuvfVWAJ3nD2i1Wmg0GigUCgBAaWkpdDodEhMTIQgCsrKysHDhQneGTERETrD/cBuef8s6MQ8AR0504J//OYLH7pvsnsCGmaq9e7Hppj9j/w8/AABCVCoszcyE6iL3/O382VRlv854sk4QBGyIHINJ3jLkVNWj1miCyscL948PxcXBAa4IlYiIRgD2L4mIiIiIiPrHDMGp58KbwcU2o1VlZSV0Oh2Ki4tRU1MDg8EApVKJkJAQxMbGQqPRIDIy0t1h9jAqkvObNm1CamoqBEHAsmXLkJOT0+M5MTExiImJwerVq5GXl4dly5Zh6tSpyM3NxZQpU9wQNREROUPRL02wd+x48S9N6DCKkMtG1wc6g1gFHfJwBPsghzdOw3wswCWQCLY/NDceO4aX4heh4cgRS1mNXo//XHopkrd+iUlnneWq0C3kvXzAl5/yOuQSAasnhGH1hDBnh0VERCMQ+5dERERERERE7vPUU09h3bp1MBgMfT5XpVJhzZo1uPnmm50fWD85b6qKB1m3bh0AQKlU2hw4OVViYiL0ej0UCgXUajW2bt3q7BCJiMhFOjrsZOYBmEXAZBLt1o9E1eIxPIcHUYKvcAT7sB978Cnewrt41rI976m+f+F5q8R8F1NHB7Y89qizQ7bpPPkEu3Xny+zXERERDRT7l0RERERERP1nhMTpDxodNm/ejNDQUKSnp6O2ttYyfi2KYo9HV7ler0dKSgqmT5+OnTt3ujN8i1Hxji0pKYEgCIiLi+v3NUqlEgUFBVi0aBE0Gg1efvllJ0ZIRESuMj3K127d5PFe8PEeFX8aLT7Cf9CMnuev/4If8Su227ymas8eu+2d+P13h8U2EHGyMbjN+4we5SqJAmt957shor79sNuIf7zVgvuzmvH05lYcOGF/4ggREXkO9i+JiIiIiIiIXOu2225DUlISDAaD1aIyURShUqmgVquh0WigVquhUql6JO7LysqgVqs9oj8+Kra1VyqVqKurg1qtHvC1ubm5SEhIQEpKCkJCQrB06VInREhERK4yb5YfFp0dhC0/1FuVy2UC7r5hnJuicp99sJ9o3489OA1n9ij3DQ6xe41fSKjl65b/bSvkq1QOOr6BuNN3HubKwlHQsQ/NohEzpMG41nsm/AW5S+4/ELlft+HlL9ot3/+234Svf+nA+pv8MGOi1I2RERFRX9i/JCIiIiIi6j8zpDDBeeNdZie2TZ7htttuQ1ZWliXhrlarsWLFCiQmJiIqKsrudaWlpdDpdMjMzIRer4coih7RHx8VywO7VjTo9fpBXZ+Xl4egoCAkJiZ6zJYHREQ0OIIgYNXN4/HnZeGYPN4LIQoZYmb746n0KTh9up+7w3M5SS8fXptxzGZ5zHXXQRAEm3XqG2/E4R078FxcHB4LD8Nj4WH4d0wMDpWUOCTevpwvn4BH/BbgKf8LkOxzukcm5g+cMOGV/PYe5S3twIZNrXaPEyAiIs/A/iURERERERGRa2zatAmZmZkQRREajQbFxcUoKirC6tWre03MA0BMTAxWr16NsrIy5OfnW1bUJyYmYt++fS56BT2NiuR8YmIiRFFEXl7eoK5XKBTIzs6GKIpITk52cHRERORqUqmAlZeFIfuxaLzzzDSsXzUZM6Ptb3c/kk3AeLt1TWbb29pPWbAAf3jhRUhk1hvwnHPHnZiakICXNfE4snOHpfzYLz/jZU18r9vhjya/7DPBXv59/wkzDE1MzhMReTL2L4mIiIiIiPrPCKnTHzRydfWbMzIykJ+fj5iYmEG1o9FoUFZWhuTkZIiiiNTUVEeGOSCjIjmfkpJi+c/asGHDoNpITExETEwMiouLPeI8AiKi/qg1tKKgcD8++kSP33ZVc0Uu9TBXnAK5aOxRHiI2QIZD6BCbbF43/5ZbcO8vv+KqFzfi8n/+C7d99z0u/+c/8c2GDWitq+vx/LaGBny2Jt3h8Q9L/DEkIhrW2L8kIiIiIiIicr7s7GwYDAZkZWVh1apVDmkzMzMTq1evRkFBgdt2sxsVyXmg82y/oKAgpKWlDfofOzU1FaIoIj2dyQUi8nw/bDuC6//8BdZlbMcz/y7Fnfd+iXVPFsFoNLs7NPIgAVAgWjyKMLEOAWILgsRmTDRXYaxoACBAAtvbwrfU1mLrY4/h8zXp+Gz1Knx87z048OOPOLF7l917/f7pp6jau9c5L2QYOS1SCjunAmBSuARKfzuVRETkMdi/JCIiIiIiInKu3NxcJCQk4JZbbnFou1qtFjExMdi4caND2+2vUZOcV6lUKC4uRmRkJNRqNbZu3TrgNlasWAEAqK2txZYtWxwdItGw1tbWgW+2/or33/sO33+9C8YOk7tDGrF+/vk4XnqpFC++WIwtWyphNvdchnv4SCMeeexHNDdbr4jWFe7HG2/ZT57S6DNeOAtyyDBGrMcUsQqTxGoo0AIBwHicBang1eOajtZWvLJkCUrffAOtdXUwdXTgwLZteCl+EQSJ/Y8WosmE/2q1Tnw1w8OkcCn+nNDz39XXC1i1zAeCvcw9ERF5DPYviYiIiIiI+scIAUZInPjgWNpIVVxcDK2TxpPXr18PnU7nlLb7Iuv7KSOHSqVCeXk5UlNTodFokJGRgb/85S/9vl6hUECtVqO0tBS5ublYtGiRE6MlGj4OH6zGqtteRqX+uKVs2szxeOrFmxEeoXBjZCPPG2/8hFdesV6dlZ+vx6OPXgi5/OTZOlu/PIjWNtsTJD79vBJ/vnGOU+Ok4SNQmICzhDT8IK6HiJPvmUBMwlkS2yv5Sl57DYdLS3qUG9va0FRd3ev9Tuz6bWgBjxDLL/DGpHAJvig2or7ZjAmhEiy/wAuTwnlGFg3Mnt2H8cZLX2J/ZRUUSj9cvjQOiy+b5+6wiEYF9i+JiIiIiIiInKe2thbz5s1zStsajQY1NTVOabsvo2blfHeZmZnYvn07vvjiC0ybNg3vv/9+v69VqVQQRRFFRUVOjJBo+DCZzFhz13+sEvMAsHf3Yfzt/jd4xrkDFRcf6ZGYB4AffzyEN9742arMUNdmt526evt1NDqpJBfjYkk2Zgt/xFThCsQKd+ESSTb8hDCbzz/Sy/a9DYcPI3zWLLv1vqGhQ47XHcpqRdyjM+GSHBOWbjbh6e1mtBiH9vvtnFly/P06Xzyd4o+/LPN1S2JeFEU0NhlhsrEDB3m+HUUVSL1uI7bk/4KyPUdRvE2Pf6zNwUvPu2fWL9Foxf4lERERERGRfWZIYXLiwwwudhmpVCoV6uvrndZ+cHCw09ruzahMzgOAWq1Gfn4+vvjiC7zzzjuYNm0a1q5dix07dvR6nUqlAgDo9XoXREnk+Xb/egBle47YrPuptBL7Kk64OKKR66uv9ve7buKEALvPnTgh0GEx0cgRIkxDjORWnCVJw0zJcsgFf7vP9Q60//7yDgxEwj8esVsfNm0a/j1vHh4O8EeGKgpbn3gcZpNnH4NRVivi1i/MKDoK1LcDx5uBTb+LuL/QjA7T8Exqi6KI9784gaTbf8HVt/6CP9zyE1544yDa283uDo36SRRFPP7QJrS3G3vUvZq5BfqyY26Iimj0Yv+SiIiIiIiIyLFUKpVT+8tKpdJpbfdm1Cbnu6hUKuTk5KCoqAgqlQq33HKLZSBl8+bNqKystHmdwWBwaZxEnqq2urHXekNt7/XUfy0tPRMwJ+s6rL5PiJ+MiRNtJ1D/dMNsh8ZFo8+cpVfbPRd9ztVXY87SpYh/+OEedTMvvxzf/fvfOPbrLzC2taHuwAHoHn4Y/3fHHc4OGQCwu7kNt5Qdxvk/V+KSX/dj45EamPqxu8ezxWbY+vH76QTweYXzkvOt7SJqGswwO2FVe96nJ/Dim4dQ39g5MaK9Q8QH+VXIyNzPHU+GieqqBhw+aH/rrV922p/QRUTOw/4lERERERGRNaModfqDRqakpCRkZmY6pe0tW7YgLi7OKW33ZdQn57soFAokJyejqKjIMpCyceNGqFQqSKVSzJ8/H7fddhs2bdrk7lCpF9HR0cjLy+v1OXq9HgkJCcjKynJRVCPb5KgIu3WCIGDiZNvbYtPATZ1qf4uV6GjrOj8/OTasPx8x88ItZQqFFx5Mn48LzpvgtBhpdJh89tm49KkNPRL00fHxSHjkUQDAor/+DXdsL8JlTz+DyzY8jdRvvsG+b7+12V7Ryy/hcB8rC4fqp6ZWXLX7AAoMTdjf1oHfWtqw7lA17q841mcy+vdejh7a44RjieqbRTz6biuuerwZ1zzZghUZzfiipKPvC/uptc2M1zfb3vHkq20G7Klocdi9yHmkkt4/xksktifQEJFrsH85MrB/SURERERE5D7JyckoKChAQ0ODw9tOT0/HmjVr+nzepk2bMG3aNIfeW+bQ1kaIroGU5ORkAIBOp0NeXh4KCgqg1+styYjQ0FDExcVBrVZj/vz5UKvViIyMdGPko5vBYIBer0dSUhJUKhXS09Oh0WigUqlgMBhQVFSEzMxM5OXlQaVSISUlxd0hjwiTI8Ox+HI18j8u6VF31fKzERYe5IaoRqYrrpiGzz8vR0WFwarc11eGlBR1j+eHh/thg/YC1Ne3o7XViNBQX0ilTNaQYyy4+25MOfdc7P7kY3S0tGD8vBiclpgIifTkTNXx8+Zh/Lx5AIDqsjK01Nbabe/Ijh2W5zrDg/uOo8XGCvQPahpwdWggLlTY38bfRwY0tNuu83bwxNwOo4i/vdmK3QdPbi9f3ww8/UE7JAKQECMf8j2OV7Wjrd3+hIR9h1oxQ+U35PuQcylD/BE9bSzK9x7tUSeVSjAvLsoNURGRLexfDk/sXxIREREROYYJEhideC68ieuQR7T169cjMTERX3zxhcPaXLt2LeLj4/vV566pqXH41vpMzveDRqOBRqMBAISEhKCurg6iKKK2thYFBQXQ6XRWz1er1VCpVFi8eDFuvvlmd4Q86un1eqSmptqsUyqVKC4udnFEI9vaR5Lg7++ND/N+hMlkhkwmReIfz8Xt913m7tBGFF9fOZ55ZjGef347fvjhEDo6TJgxIwx33TUfkZFKu9cFBXkhKMjLdYHSiCSaO9BS/R46mooBiJD7zcX4mGsxITa2X9fL/e0nvwHAK8D+OfZD1WEW8XNzm936HU2tvSbnz58oYPMe28ns8yY6dsLLD7+brBLz3b2q63BIcj7Av/fOUGAf9aNBaelRbNt2GEajCTNnhuGii6ZAKvWsjp4gCPjr44m4++aX0NDQalV3T/plmDgp1E2REVFf2L8cfti/JCIiIiIico/ExERs374d8+fPx5YtWxAYGDik9pYvXw5BEPDee+/16/nl5eUOP5ueyfkBqKiogMFggCAIyM3NhVqttqx46D6AUlJSgpKSEuTl5SE3Nxeff/65G6Om7lJSUqDVah3+gzTaeXvLsfqhZbhz1eWoqW5EaFggfHyZDHYGhcIbDzxwnrvDoFFGNHegft996Gg6uUNGR+M2tDd8B0XUcxAk3n22ETh2LCaffTb2//BDjzofhQLRCxc6NObuJAIgE4AOO4vF5ULvCfbbYgTsqRHxS5V1eco8AfPG9C85324UsbPCjJpGEeNDBMyZLIHExn0PVNlOzANAdYOI5jYRft5DmxAQopQjZk4ASn9ttFEnw7zZzpsoMRy8/HIp3nzzF6uygoIKPProhZDLPWviwvSZ4/Fqzl14741vsL+yCsoQf1z2h1jEnhXt7tCIqB/Yvxz+2L8kIiIiIuqbEVKnrpx3ZtvkXvX19QCABx98EIIgIDIyEg888ADi4+MH3JZOp0NmZiZUKhW0Wi129OOYVb1ej6ysrB7Huw4Vk/MD0P2suWXLlgEAVq9ejdWrVwPoPHegoKAAOTk5MBgMAIDt27e7PM7RTqvVYvv27SgpKUFNTQ1UKhXi4uKQmpoKtbrn1t/kOL5+3pjg13eSjoiGl5bqHKvEfBdjy69oPvEa/Mf0vY2rIAhIev0NvLJkMWorKizlXv7+WPHWW/ALdd4qX6kg4PwgP2ypa+4ZF4Dzg3rfwt1PLuC5BAk+04vYU9u5lf35E/ufmD9YbcZDb7fjUM3J2QFnRErw0HIvBPpat3Hq993JZYD30BfOAwDSb52CB54sh37/yRXXyiAZ/n5vFHx9Rm+H5ocfDvVIzAPAjz92lv/5z3PdEFXvxk0Ixr1rrnB3GEQ0COxfDg/sXxIREREREbmHUqm0SoyLooi0tLRBtyeKIvR6PWL7uRts1zXBwcGDvqctoyY5v3nzZlx99dVDamPdunUQBAGJiYk265ctW4Zly5Zh48aNKC0thU6nY2fdxZRK5ZB+MIncwWwW8f33B/H779Xw8pLirLMmYNq0EHeHRWRhKzF/sq603+2EREXhjm3bsePNN1FdVgb/MRGYu2IlQlQqR4TZq3VTxiBx9wEcaDdala+ZGIbT/X36vF4uFXDltIHPkGw3inj4HevEPAD8VGnG0x+24+EV1hOaFsyS4lUd0GS9SzkAIGGeDFKJY2Zphijl+PfD0/F9aR0OH2tHsEKGBWoFggJHzUdDm77+er/dum++2e+RyXkicg/2L0cH9i+JiIiIiIbO5OSV8yaunB+xVCpVj/PeRdHO9qj9NNTrHWHUjMDm5+dj3bp1eOmllzB37sAHVp966ikYDAYEBwcjOzu7z+fHxMQgJiZmMKES0ShiNJrxyCNf4euvD1jKXnllB26/PQ6JibPcGBmNBB9VNyLnRAMMRhOifOS4Y3wwZvgN5siJ3j6w2N+G3RZfpRLn3HnnIGIYmrFeMnwyezL+c9yAPS3tCJRKcHlIIM7rY9X8UP1UacbBatv/ft/tNsPQJELpfzLhHhoowUMrffDou61o7Jagj50qRerFjj0uxMtLggvPcuysz+GutdVot66lxX4dEY0+7F8SEREREREROVf3I8RUKhVUKpVLjxXT6/UoKbG/cG2wRk1yfuPGjcjKysLChQuxcuVKaLVaBAYG9uvaLVu2IC0tzXIWYFBQkJOjJaLR4s03f7ZKzAOAKALPP1+EGTNCcfrpEW6KjIa7fx6qxT8P1Vq+/7m5HfmGZrw1YxxiA/teKd6d3G8uOhp7nhXfWTevz+uNbW2AIEDm5djk8kApZFLcM9552+fbUtvU+0zM2kbr5DwAzFNJ8fI9fti+x4iGFmBKhAQxKgkkDlo1b0tdgwk5n9eg/EAbfLwlOE8dgPizAx1+npKnmzo1BFu2VNqtIyLqwv4lERERERFR/xhFKYyi89KRRpEr50cqlUqF0tJSpKWlYd26dW6JISEhweEJeolDW/NwKSkpqKioQGBgIKZMmYIlS5Zg8+bNvV6zdu1aJCQkAABycnKwaNEiV4RKRKOEvSQQAGzdar+OqDe/N7dbJea7tJpFrK44MeCte3zDVkLme1qPcqnPNPiF32j3umO//IKN552LvwcG4O8B/si66EKc2L17QPfui1kc2Mp9V5sQYj+5LZUAEUrb9Up/AQkxcly9QI7YqVKnJuarao2487H9yMs3oHRXC77f0YQnXzmG598+4bR7eqqrrpqOyEhFj3J/fzmSk7lilYissX9JRERERERE5Dyq/x2Hmpqa6rYYFi9e7PA2R83K+S4KhQJarRZarRabNm3Cxo0bkZSUBLVaDY1Gg+joaABAcXExdDodysvLodFokJmZiaioKDdHTwORl5eHgoICy3kUarUaqamplh9mIk/Q3NwxqDqi3hQ12jiw/H/0rR2oNpoRJu//jFJB4g1F1LNoPvHG/86fFyH3OwN+4TdCkPrB1NEBqVxudU2NXo+shReh1WCwlO379ltkLbwId/y4DcrJkwf2ok7xjbkUOaYCHEMNAuGHeMmZSJIkQCZ0vi5RFPF6bRVerT2BYx0dmOjlhbtCx+JKhfO3cT9cB2zeCRyqA4L9JJg2WYq9+009nnf12TL4e7t/ZfoL7xzH8ZqeW7Z/9GUdzprrj/mn+bshKvfw9ZXjn/9cguefL8K2bYdgNJoxc2Yo7rrrTEyaxJWtRNQT+5ejB/uXRERERERErhUaGgpRFBES4r4dLZVKJWprey6EG4pRl5zvbtmyZVi2bBnq6uqg0+mwfft25Ofnw2AwQKlUYtmyZVixYoXHne2XlJQElUoFrVbrsDbz8vKQmZkJvV6PmpoaAJ0zUlasWIGUlBSXnuEwVCUlJUhPT0dCQgLS09OhUqmg1+uRmZmJ6OhopKSkIDMz091hEgEAoqKUqK5usVmnUvEsaHcwmUQcqzVDkAiIUAqQOnHFsrP0tS3OYLbNESTe8B9zi+V7U0cHdP94BD9mZqKlpgbKyZOx8MG/Iu6mmwAAX65bZ5WY79JcVYWvnnoKV/7734OIotMW83ZsNOVZvq9HE943b0WVaMCd0hUQBAFPnjiCf1YdtTynrrUFtx6qQJ3ZiOuDwwd9777sPgakfQg0tXeVCJAIcsxQSbBX3znhRiYBrj5Hhj8t8oyPYTt22/4dBAA7d7fYTc7/sqsOW76tQmOjEVMm+eGKxWMRFCi3+dzhRKHwxgMPnOvuMIhoGGL/8iT2L4mIiIiIqIsRUhjhvK3nndk2uVdiYiJUKpVbj4PTaDTIzc11aJueMSrsZgqFwjKQ4skMBgPi4+NRUlKCxMREh7RZUlKC+Ph4AIBWq8Xy5cstAyU6nQ7p6elIT0+HVqtFWlqaQ+7pTAaDAcnJySgsLLQa8OkabIqOjkZqaiqKiopQXFzsvkBdzGQy49PN32Jn0R4IgoC4c2Zh8ZVnj7qzhD1RcnIMfvrpONrbrVfVTpmiwOWXT3NTVK5hNoso+KYGpb82QhRFzJ7mj8sWhkEmc9/7snhPB57e1ILq+s5t38eFSLB6uS9mTxlefy7PCvSBBICtDd9n+nohWDb0U20+uPVWlLz+muV7w/79eD81BR3NzTjnzjtx/Ldf7V7bW11fjKIRb5g+sVn3tViKS8Rz4dMRgX91S8x39/ejh7A0KAQBUsd/aDeLwBMF3RPzXeUCyppkyLxDCkEUEaEQ4OvlOb9/ezvkwN4RCB98dhgvvKpH9+rPC49iwyNnICLM27EBEhENM+xfsn9JREREREREQxcVFeX2XeecEcOoOnN+uCopKUFqaiqCg4NRUlLisHYzMjIQGxsLlUqF2traHisYNBoNiouLkZaWhvT0dCQlJTns3s6gVCqh0Wh6DJx0l5KSApVKhZKSEmRkZLg2QDcxdhixOuVfeCz9ZXyU+zU+zPkKD92XiYfuzYTZ7NlnNY8G06eH4plnEjBjRigkEgFeXlJccMFkPPNMAvz8hv8KVHvMZhGPP1eJDdkHsOW7Wmz93oDnXz+EtRnlaO9wz/vy9wNGPPx6syUxDwBHasx48JUmHDzRc0tyT6by9cIDk3tu9RMolWCDKnzIE3OO7NxplZjvLv+vD6KjpQU+vayI662uL1WoQxPsr/TejyP4pa3FbsK5RTRD39426Pv35lhD51b2tnSYgMpaAVPCJR6VmAeA06b62K2bM80X9Y1GvP/ZMTz/2n68839HUPKzAS+ekpgHgKMn2vDMxr1OjpaIiIaK/cv+Yf+SiIiIiMgxTKIURic+TCJXzpNta9aswfz58y2PJUuWYO3ataisrHRrXMNrKeAoYDAYkJWVhfLycuj1ehQVFcFgMEClUkGj0UCn0znkPl2rFlQqFQoLC3t9rlarhV6vR15eHlJTUz16y76CgoI+n5OYmIiMjAykp6cPuy0VB+OdV/Lx7dadPcrzP/oB6rNnYuk1F7k+qBHs8KE6HD1Sj9Awf0yeEtyvJOjs2eHYuPFSmExmCIIAyTDcRn2gPv2yGl9v75nF3LmrEe99dBzXXz3W5THlftUGo40cfEs78MG37bjzKl+XxzQUt4xVYqqPF/KqGlBrNEPlI0fyWAUm+wx90sexX36xW9fe1ITaigrMveZa7M3Pt/mceddcO+h7+6H3VdnPt5XgbFNAr8/xcdLPWF/znUzdktmiKKK1A/CRw+27mNx+TQT27juA2nrrH4D4swMxKUKK29b+hhPVJ7cDkEvMMNuZ/VDykwEdHWbI5SNn/uevv55ATs5vOHKkEaGhvrjqqhk466wJ7g6LiKhf2L8cGvYviYiIiIiIhq+1a9ciNTUVQGf/GACKioqg0WiwfPlyPPHEE26Ja+SMnI4Qer0e6enpyMnJAdA5E7+goADl5eUOW1lgMBgsbeXm5vZr8CA7OxsAkJWV5bABHHdJSEiwfL1u3To3RuIa32zZYbfOVtKeBqelpQMPP/gprkl8Dffd9T5uuOZN/OWeD1BXZ3+F76mkUsmoSMwDQNFPDXbrin+ud8o9axvM+H1/B04YbK+CP1xtP7N6qJc6T3aR0g/PTR2Dt2aOw6ORYQ5JzAOAdx9n/HgHBWHeH/+I8+67r2dMa9fitCFs8xskBGCOoLJZZxIl2G80423hW/jb+YSj8vJGtJf9leJDMTYICPWzXScAmDUG6DCJyNpqxlX/MuMP/zJjxQtm/F+J2e728a4wLlyO5/46GZdeEITpkd6YO8MXd1wbjr/8KQJPPKu3SswD6HV3C7MImOxl7oeh7747gHvu+QJffbUfe/fW4IcfDmHNmi348MM97g6NiKhf2L90vtHWvyQiIiIiGigjJJZz553zYKqTbFMoFJZt6WNiYhATE4Pk5GSUlZUhPz8fW7dudUtco2blfHZ2NvR6PebPnw+1Wo3IyEh3h2STWq12+gB9eno6DAYD1Go11Gp1v65RKpVIS0tDRkYGkpKSUFtba/e5JSUleO+99xwVrpWEhARoNJohtREScnKr5+E+ENQfHe3GXuo6XBjJyJaxrhBfbimzKivefgAPP/gZnnl2qdtXxnoak8n+7zljL3WD0W4U8fymBuRva7Vsw73gNC/85Zog+Pue/OAWHGDvlHYgOID/f91FXXgh/CMi0HT8eI+6KQsWIGjCBAiCgEsynsTsq5Zi33ffQhAERJ5/ASadeeaQ73+ndAUeNb6EwzhhKTOLAo51RMAMKSQSM4JC9wLVM9DUbTl7qFSGzIlRkA7y59FoFnGwSYRZBCYFCJCfMplGKgFWLQL++ilgOuWtdPPZwLggERmfiij87eR73NAMPF8oos0ILD/Tfe+zsGAZ7rl+jFXZ4WOtKN9nY4JRL/9+kZP84OPtOVuJ7dlbix07T0AUgdNPC8XsWaH9vra93YSMjO9t/r569tntOPfciQi1NxuDiEY89i9PYv9ydPUviYj6Ui/W4ht8gmM4AB/4Yx7OxSwh1in3aq2rw8+5uajdV4mg8RNwelIS/MPCnHIvIiIiGlni4uKwceNGLFy40OX39ojk/I4dO5CZmYmioiLo9XrL1gJKpRIqlQoqlQrz589HSkoKgvpYrWePSqVCQUEBcnNzodfrIQgCNBoN1Gq1xw+oOFLXtoYAsGLFigFdu2LFCmRkZMBgMECn09kdxMjMzLTcw9EMBsOQB0+6r+Rw5BmLnmrWGVH4dafebh0N3YnjjdhSYHsVZWnxQez5/QRmzIxwcVSebUa0H37cYXuF/Mxof7vXmcwitv/UiIqDbfD3leDseYGICO19NfhzeZ2J+e6++6Udba/X47EUhWXixKVneaF4b8/JLIIAXHKmV18vCUDnquhDNZ2rpCeEADLpyEzqewcG4pK0+/Hh3/6O9paT/7Zh06dj+RtvWk1GmbJgAaYsWODQ+4cKSqyX3YUsYwE+Mv4EkyhFkykAxu4fa3wMeGnKWGxrMOOYsQOT5d5YGRyKCNngdg8orTLjr9vbcex/ueoQb+AhtRznjbNORJ85BfjXUuDtEuBIHRDsB1w+B7hwKlB+DFaJ+e5e/1bEFfNEjzqPvrXNzgp5QdL5EK3r5XIB9yRHuyCy/nn9zV34zxu/WZUlLZuGW5NP79eEqQMH6lFX12azzmg0Y/fuapx77uCS86IoYlPuTuS9twMnjjdizJhArPyjGldcdRoncxE5APuXrsP+5ejrXxIR9aZaPIpM/AONOHmM3c/4AfFiIuKFqx16rxO//47/XHYpDPv2Wcq2Pv4YbvzoY4yPiXHovYiIaGhMogxG0XnpSJMT26aRqa6uDjk5OZg/f75b7u/Wd+zmzZuRnp4Ovb4zcXjqjP7a2loUFxejpKQEeXl5SE9Ph0ajwa233oqlS5cO6F7x8fGIj48H0PmPXlBQgJycHGi1WssgqCAIMBrtrzIeCbq2MwTQ71UNtp6v1Wp7HTxx9bmB6enpyMrKwvLlyz36zEJ3uOXuP+Cbwh04erjaqjwyehyuS77UTVGNLMeO2d+iHQCOHa1ncv4Ui84JRu4nx9HSap3cGxvuhRvsnDff2mbGw/8+gB27mi1lL+Uex5qUCVigDrR5TU29qUdivkvx7+0oO2TEtImdydpz58iRfKkPXv6s1XKetlwK3HmVL06P6vvP5fZyM576yATD/8ILCwTSrpRi7hTnbKv08bFWbD7SgtoOEVF+UqRO8ceMAOf/WRfNZpTefwv2v/cfzPIFaiVAh1nAxIsW4eK3NsMn0Pb/xWCZ0IHvkIvd+AbtaEYYpuBC3ICxQjTmCafjNeMhu9dO9fbDhb6DS7p0V1Fvxl3ftqO124kINW3AX37owEsXCjg9xPr/eNZY4FEbv14rquyvXGw3AkfrgKjwIYfrMOMivOHjLemRpBcEAaJUjqRLw1G8swYNjSZETvLDjSsnY0a0Y///B+rQ4Ub8/EsN9pYZ8P7/7e1Rn7tpL6KjFFicMKXPtvrKkQ/lGJJXsn7A6//Zbvn+0KE6bMjYioaGNvzxhrhBt0s02rF/6XrsXxIRUXebkW2VmO9SiDzMFOdhgp0jygbKbDbjnZUrrRLzANB47BjeSkrEfb/+Bpm3t0PuRURERJ6lvr7eMhm/v7om7VdXV6OkpMSy61n3Y8pcyS3J+crKSqSmpkKn0/UYMDl1tZAoilbP0el00Ol0UCqVyMjIwM033zzg+ysUCiQmJiIxMRFJSUnYtGnT4F7IMNR9YEGlGvgHYqVSaVnZYDAY+nWeoCtkZGQA6DyzMDU1tdeBoa4fQgAeE78zBYcG4ZX3/4Z/r3sPO4v2QiIREHfOLNyRvhwBgb7uDm9EiIgI6LU+PMK9ySqgc3vm//tYj927ayCTSXDm/LFYdNFEt6zQbG8345F/V/RIzAPAZQtDEBRo+09T5rvHrBLzANDWLmJ91iFkParC2PCeq9uP1/Z+VvyxapMlOQ8Ay873xrlz5Nh9wAiJAMyeIkOYou/k+u+Hzfh7rgnGbreragD++p4Jz/5JQGSEY/+dn61oxPOVJ/8tdjUaUVjVhlfmKhGr7N8q/8GqfCMT+9/7DwDASwKM8QUAEdheiBMFH2HS1dc67F4izPg/PIm9+NFS1ohaHMRvuAaPQS2NglLwgUHsOQFjpiQM4wXH/Oy9U26ySsx3MYnA63uMePLs/v2bB/oIAOwn6AN8Bhmgk/j6SJF87UQ8++r+HnVXXzIGKddPBq6PdH1gduRuLkfWK7/CcpKBRNa5uv+UFf4Fhfv7lZyfNCkIYWG+qKrqubW/t7cUs2YNbrvME8cb8ebrRTbrXsn+AZddOQdKJf8+Ew0E+5fuw/7l6OtfEhHZYxSNqMRuu/Xl+BUT4Jjk/InffsOxX362WWfYtw8Ht29D5HnnO+ReREQ0dEZRCqPovGMQndk2eY4dO3YgPT3dIceJiaKI2NhYrFq1ygGRDZxzlvP1orCwENHR0ZaBE0EQrB6nOrW+azCltrYWKSkpmD59Ot5///1Bx7N48eKhvJxhp/s2e4MZPOl+TVGR7YFld+vrddXU1Fi+josbHavTQsOV+MfTqfjgq6ew+csn8cC6m6BQ9p5Qpv6LGBOICxdOtVl3xrzxmDnLvavmW1qNuG/1V3gx8yds/e9BFBTux+Prt+GpZ0qcfgapLd+X1kG/3/Zq9rzPqmzGJIoitvzQc/Y90Jmg/7bE9u4FIUG9/5kLUfT84DY2RIKL5nrhgjO8+pWYB4DcH8xWifku7Ubg/e02srpDsKfRaJWY79JmBh7Y3YB9HU34U812zD76BeYc/QLJNUU4YrL97z0Yhz7Ks1t3+GPHJiPKsN0qMd/FiHYUIAsBghcyfBLgD+vk+FghAOt8NQ6bfHKwyf7PyaFe6k51xiQg1M6v3tMnAmEe+Gv5ioQIpN0ehUnjfSCXCRgT5oVbrpmA1OsmuTs0Kz9sO4aNL3VLzON/nyElUnQeNHFSQ2N7r20dOVyPfz3zDdamfYZJE3whk1n/HpBIBPzlL2dDqRzcbIoKfTXMZtvvG6PRjH2VNTbriMg29i/di/3L0dm/JKLh54uDRtz+XSuu3dqCB4raUFbf+0T2wREh9jIZube6gWqtt31MnqW+zvb4AREREQ1PmzZtQmxsrKXvP9RHWlqaQ5L8g+XSlfOFhYVYvHix1aAJ0HO7wd50H2ARRRFlZWVITExEbGwscnNzMWVK3yuhuhvMAMJw1X3gZLAz+lUqlaWdgoKCIZ/P5yhqtRqpqalYvnx5n6+t+79DUlKSkyOj0WLNgxqYTGZ889XJrVTmxUzAPx6/xO3nB7/62q/YtbtnsuezLyoRq47Aootcm2Q7dNT2Gc4AUNdgRHOLGf5+1klzowlobbP/t6KxyXYCPCJYirPmeOHHX3sm46ZNkmHGZMf8GTxqsF93uNYht7DYUd9ht66iowV/qC5BtXjy9X7edgw/V9fj07DzECIZ+qp6Y6P9YxyMTfbr9P/9EiX/eQ1NVScQNn06Ftx9D4L7+Jt9BGV2645BDzNMiJWNx3v+ifi8owzVYjMmShS4VD4NQYLjtjAM6yUHG+bT/59vXy8BD18lwd82m1HXbX7FlFBgzeUSt/+usEdzXig054W6O4xefZa/z36lRAKYT/6OiJxi/6iDvXuqcO/dH6LJKoEv4LS5k+DlLUdYmC+uuGI6Tj998JOufHzlvdb79lFPRCexf+le7F92Yv+SiDzdi7vakf37yWNWdteZ8OURE1481xtzQxy30lAmyDFRVOEgbG8xOwXTHXav8BkzIJHJYLZzfEzE7DkOuxcREQ2dCVKYnJiONIEr50eyiooKq76WRqOBWq1GaGiopb+m1WqRmppqs/9mMBhQXl4OnU6H2NhYZGdnIyho6EehDoXLkvOnDpx0DZgolUosX74cSUlJUKlUCAkJgUKhsFxXUVEBg8GAoqIiFBQUWLa7A2A1+FJUVASVSoX09HQ88cQT/Y4rJCTEcS/Sw3WfBTLYQaPu13UfhHA3jUbT720QCwoKAHS+91JSUpwcGY0Wfv5eeFx7OfZV1uDokXqEhQdAFR3qEcm27UXHeq1zdXI+WGE/8eTtJcDXp+dqdblMwIQxXjh0zPaK1ykT7CdiV18bhMdfq0PpnpNJ7WkTZXj4zwpIh3BmdHchvax4DnXwqQa9reXvCD1slZjvcsjUghcay/HXoFlDvr9izhkw7LS9sk0x+wyb5T9u3IgP77rT8v2ezz/H988/jyuffQ5nJifbvZcM9t8rUsgg/G9F9DhJIP7sHdOf8Afl6igZPt/fDltrSxJVA/vwP3OcgJf+LME3e0XUNgHjlMC50wT4yN3/u2I4M9T1vhq+i7+fDH+8ZqbNOlEU8fijhack5gFAxG+/HMAbb6/EhAkKm9cOxMxZEYgYE4Djxxp71E2cpIQqenDb5RONNuxfuh/7l53YvyQiT7a3zmyVmO/SagL+XtKOzfE+Dh23uAq3IBuPog3WR0OdjcWIFGx/Dh8Mv9BQLHzwQRT+4x896hbcdTdCoqIcdi8iIiJyr65z4TUaDTIzMxFl4+98QUEBUlNT+0y6d63Az8jIwNKlS50Sb3+4ZFv7uro6JCUlWQ2caDQaFBcXo6amBhs3bkR8fDyioqKsBk4AICoqCjExMUhOTkZOTg5qampQXl6O9evXIyoqyjII09WuVqtFWFjYkLYiHKnKy8stXw920Cg09OTKOb3e9kxYd9BqtcjMzOwzppKSEssgUnZ2titCo1FmSmQIzjonEtFTwzwiMQ90bpM8mDpnWRCrgMLOufKXXBQKiZ2E+c2J4TbLZ6p8cG6s/T+6Ab4SPJGqxL/vC8YDNwRhw11K/PPeYIQpHTej8opY239OBQCXxTj2T22cUg6pnbeWl1/P7e67/NbR+7Z//TXjvofgFdIzeegzbgKm3ZHWo7xGr8dH997To1w0mfB/t9+GPfn5du8VjTicuiV59zrBRafzzAuV4OE4Oby73U4qAKvOkOGCcQN/Hyn8BFw2V4LrFkgQP1vCxLwDTJzQywyZ/y2gnT5NiWeeuhCTJtqeMVNb24LKCttbXZhNIn7acWSoYQIAvLxkeOSJy6A4ZVv8kBA/PPLEpT220Seinti/9AzsX7J/SUSeb2eN/WPW9jWKMPRvjmu/jRcicTsexTyci3GYgijMxlIk4wrc6NgbAVj44F9x2YanETh+PADAPzwcmkcewSVPPunwexER0dCY/nfmvLMeJp45P2IVFhZCr9cjIyMD+fn5NhPzQGeftD99ymXLlmH79u148cUXsXXrVkeH228uGf1LSkqyrEZQKBQoKChAfn4+YmIGt8otKioKaWlpKCsrQ3l5OVavXm0ZdBFFETU1NUhMTMTFF1+Mfft62eZ0lOl+Fp4jeNLgCdA5gJKQkGA3rpKSEsTHxwMA0tLSkJiY6MrwiNxm1kz7g6W91TmLIlCGR+6PQojCOkF/3nwFblkx3u5158YG4W93TMCY0M7V1FIpsPDsIDx+/2TIZb0nNwVBwPRJclwwzwdzorwctmK+y/xoCe5cIkH3nJpcCvzlcilOnzzwP7UdZhHfVXXg/YPt+LHaCFO37Xkj/WRIn9ozERkkEzDNz/629b6CYz6k+k2cjAs+/g7hFyRA6uMLqa8fxiRcjgs++g7eYT23+q746iuIJvsDQh/fc7fdujFQYRFu6lEeiolIQOrgXsAgXTZZig8v9sZTZ8uRcZYcHy7xxsqpLj0diHqxMnEqfH17vsd9vKXIfP4ifPbhVdj4XDymRivttiHaOQe+i3kA22T3ZdbsMXj1zT/itjvPQ+Lyebjj7vPx6pvXInoqV80T9Qf7l56B/Uv2L4nI8/W1aMAZawrChfFYLtyBu4R1SBb+ivnCQqcsXhAEAQvuvhtr9u3HP5qa8cDhI1i49gFIpEzQEBERjRSZmZlISEjAqlWren1edHQ0iops7/Z6KqVSiZycHLfufOb0UeVNmzZBp9NBEATExMSgsLCwx+qFoYiKioJWq4VWq4VOp4NWq0VhYSFEUURBQYFlK8I1a9a4/QwBd+s+qDDYMwEHe50rJCYmQqlUIjY2FikpKVixYgVUKhVqamqQl5eHdevWwWAwIDMzk9sN0qiSfPPpKN1xAtU1rVblp80JxRWXuedc1FlT/fHKk7NQ+msDGptNmDLBBzNUfn122M+LDcJ5sUFobjHB20sCqb0l5G5wRawUC6ZLsPuwCEEAZo0XEBww8PiOtJhxZ0kT9jSc3NXgdIUU/1b7Iex/S7dvmOiHqX4ybD7agpp2M6L8ZPjzJD/ozOOxs972yt9LfcYO7oXZEBA1Fee+94XV6kJ77J0B2KW6rAzGtjbIvG0fTTAfV2IcpmI3vkEbWhCOKZiLxfCG3+BfwCCF+gi4aDwHejzRpIkBePLxBVi/oQQHDzUBACaM90f6/TGY1ktCvrvgED+MHx+Ew4dt7zIxZ84YR4ULAAgN9cfKP6od2ibRaMD+pedg/5L9SyLyfLGhEkgAm0d0TQsS0Mupc8OKzMv+RHUiIiIavkpKSpCXl9fn85RKJYqLi3HLLbf0q12lUom0tDQ89dRTfSb+ncHpK+fXrVsHQRCg0WhQVFTk0IGTU2k0GhQUFKC2ttay2kEURaxfvx7BwcHYsGED6usds63vcNS1usTT2xwKjUaDiooKAJ0raoKDgxEbG4v33nsPa9euRW1tLQdOaNQJD/PFi88tQkL8ZEycGABVVBBWJk3Hk+vOh1zuvu2T/XylODdOiSUXhGJmtP+AZtL7+Uo9KjHfJTRQwLkzJFgwXTKoxLxZFHFvabNVYh4Afq4zIW1nsyUZDgALQrzw1GwFXpkXjL9ND8REXylu8JuCZb4TerR7vd9kXG2jfKgEQejz/23yOef0Wi/18oJE3vuI0ETMhgYpuAz34Exc5ZbEPHm+WTOD8Z+sRXjvjcV4743FeC17EebM7v/uIBKJgDUPLoSXV88JGH++OQ6RUaPnHGkiT8b+pedg/5L9SyLyfJGBEtx7Ws/+VqAceDTW22OO4yMiopHNKEqcuq29UeQRgSNVbW0t5s2b1+fzVCoVcnJyBtT28uXL8d577w0ysqFx6sr5wsJClJSUIDg4GLm5uc68lRWFQmFZ7VBYWIicnBzk5uZi9erVSEtLQ1JSElJTU7Fw4UKXxTRS1dTUeNxqB6VSafn/d6UjRxxzFm13EydOdHibNDqFhfpibdp8d4fhUCaziC0/NmJ3RRtkUiB2th/OPH14J2131ZvwW73tLeC315hQ2WRGVID9ldsSQcAzirm41GcctrXXQALgHK9QLPTpud28q4yZMwdnpqZiW2amzfo5S5dCIuEHaHIMQRAQFurT9xPtOGPuOLyQuRRvvVGKAwcMUCh8cNkVs7AofqoDo6Th6ODBgw5tzxmfG0cD9i9HPvYvO7FvSUSOdN1UOVSBEny43whDu4jIAAmunyrDBH/2w4iI3IH9SyLHi4+PR21tLd5//30sXbq0X9coFAq3TRB3anJeq9VCEAQUFha6bcu/+Ph4xMfHIzMzEzqdDgUFBSgsLER8fDwEQYBK5Z4tnd3BEWcChoRw1Zg9Z555psPbFB14vi3RSNJhFPH3F46i6NcWS9kHW+px1aIg3Lo8tMfs/7r6DpTva4FMJmBalB98fTxza/Kqtt5/5qvaRUT10YYgCFjsMwaLfRy7BfdQXPnsc4AoYlt2NtDt99p4dSyu+PezboyMqKep08Lw8CMJ7g5jVBFFETVVDRAEIDg0sF8ruI4frUXBJ0WoPlGHCZPCseTKMxEQ6Ou0GCdNmuS0tqn/2L/0LOxfOg/7lkTkaAvGSLFgjGf2g4mIRpvR2L80QQajE9ORJuef4E1uEhwcjPr6+n6NAajVajzxxBP9Ts4DjunXDoZT37E6nQ4JCQn92nLAFTQaDTQajeX70tJS6PV66PV6lJeXe9wMfWfiIAgRDWfvflZrlZjv8sGWepw2zQfnqwMsZR8WHEfmGwfQYewckFQEyrDmzijEnu68bXAHa5Jf7ysX+qr3VIIg4A/Pv4Czb78Dv76/Ga0GA8acdjrOWLkScp/Br3ImouFvZ4kej619Cwf3nQAAqKaNw0Prr8OMOfYHK3Zs34vVt76AhvpmS9lbL+Xj2dfuxYTJ4U6PmdyH/UvPxf4lEREREREROVpiYiJycnL6dZZ8SkoKbrvtNjzwwAN44okn+nx+aWmp2/qyTkvOFxYWAoDLtxYfiJiYGMTExLg7DLcY7GyQU6/jIMxJ27Ztw7hx49wdxqhTW9OExoZWjBmngJcXZ8iNFt/vbO61ris5/832Wjz36n6r+roGI/6+oRzPPz4Lkyc4b5XlYKgCpFgyVo4vjnb0qFs2UY6xPsMvOd9cXY3aykoEjB2LMXPmYMycOe4OiYg8RNnvh3D3n59He9vJ33n6vUdw55+ew6ubVmGijUR7U2Mr1t6ZaZWYB4DDB6vwt/tewst5a5xyduqBAwcc2t6RI0ecsjJ2JGP/0rOxf+lY7FsSERERjVyjsX9pEqUwic7bwcWZbZN7rV27FhqNBitWrEBgYKCl/KWXXoLBYEBKSoplVX1KSgpuvfVWaLVazJ8/v88V9MnJyW7b/c5pmayCggJER0d7zKoGImcbN24cz/FzoaoTDXjsrx+g6Ec9AMDP3wupd8Vj2UrP/iAyUrW3m/DBx/vw2+5aSKUSxMaE4WLNREgkjk+QAEBbu/1tOdu71W3+7Jid6834ZMsJ3Hb9ZIfHNlSPnu4LXynwf4c6IAKQCkDiRC+kzRpeK8xNHR34bPVq/PDiCxDNZgDAjMsuQ+Irr8KPA+9EBOD1zAKrxHyXxoYWvPOfrVj90PIedTu270VtTYPN9n77qRJHDlVj/MQwh8fKz3jux/4ljSbsWxIRERGNXPycR9R/CoUCycnJWLRoEbZv3w4AWLNmDZ588kkAnTvsff7555bnr169Gk8++SQSExORlJSErKysHlvi19fX45ZbbkFpaSkyMzNd92K6cVpyvqSkBImJic5qngYhJCQEBoPBoW2Opq0ayXO0tXbg/tvehL7suKWsuakdz6z/DHK5FFcui3VjdKNPa6sJqx78Ebt+N1jKvvz6CIpKTuCvaTFOSdBPm+KNg8d6JnQAYOpkL8vXVdXtdts4UW37+t6IogjdTiO27THBaAJmTJDgqrPl8PFy3Gv0lQp49HQ/rJ4p4kSbGRHeEgTKnTPJwZk+T0/H988/Z1X2+yef4O2kRNxUoINEMvx2ASAix9pfedx+XYXtuqbGnkeadNfc1DakmMhzsX/pedi/JCIiIiKi/jCJEhidunKe44wjWUpKCsrLyzFt2jRotVrk5eUB6ByrLygosHquVquFTqdDaWkpcnNzkZubC7VaDY1Gg9DQUGzfvh06nQ61tbUQBAHLl/dcGOIKTkvO19TUICEhwVnN0yBwoINGiv8W7rJKzHf3ysb/MjnvYm+8u9cqMd/lv98cRZz6IC5dbP/c4MH60x+CUfJbM+oazVblkePl+MPCk2fJR4R54egJ2wn6iFAvm+X2iKKIp95vh26H0VL23S4TvvrFhCdv8oG/j2MT6EFyAUHy4bklU2tdHX544XmbdRVffYX9332HyPPOc3FURORplMEBduuC7dRNm2l/hYGvnzcmTHL8qnnyDOxfeh72L4mIiIiIiMgVtFotVqxYgeXLl0Ov11vKk5OTezy3sLAQsbGxqKioANA52b+kpMRSL4oiBEGAVqvtsareVZw2ncRgMPC8OA/T/f9jsCscul/HwRhylwP77Z9pWXWiAa0tA18RTYNXVFplt664l7qhGBsmxz/XTMDZZ/hBGShFqFKKxQsC8NSq8fDtdi77skvH2rzex1uCyzU9zzLuzX9/MVkl5ruUHzXjVZ39FfqjUd2BAzCbTHbra//3wWikqmoC9DVAE98WRL26PPFsu3WXXX2WzfKoaeOxdOUFNutuX7UUvn7eDomNPA/7l56H/UsiInK2FoMBH997L/41dy4ei4jAo+FheGb2bHx8331oa7B91BEREXkeE2QwiU58OG8dMnkQtVqNsrIylJeXo6CgAMXFxdi4cWOP5ymVSpSXl2PZsmUAOpPx3R9A52r8VatWuTT+7pz2jq2oqIBKpXJW8zQI3f8/amrsJzf7i4Nj5C7BIf5263z9vODtwz/GrmQy2T//3WQy260bimNVHcj/uhb+XmYsOdsXS85XYsKYnivhz4lV4r7kKXjhtQNoa++MJUQpx9o7ozBx3MDOcC8us59sLi23XzcaBYy1PSmiS+C43uuHK0ML8MRWYPvBzu/lEmDlPOBPsYATTncgGjSTyYzjR+shl0sRGh4AQXDPG1RziRr7K44j+9+fWsqkUgnuTl+Ks86bZfe6VX+/BuFjlNj8zn9RfaIOXl5yeHnL8FHut5BIJLj62gvc9prIedi/9DzsXxIRkTO11tUh84LzcWLXLutygwFVe/dg37ffIuW//4Xc19dNERIREZE7REVFISoqqs/n5ebmoqKiApmZmSgpKUFNTQ1CQkKQmppqSdy7i9MyWF2zD8hzREdHW74e7MqG8vJyy9ccHCN3uUgzCy+9sBX1dT3Pnb3yajUH5F1s9kwlKiptz1ifPTPY4ffbVd6CB5/ej6aWk4n/Dwtr8Y97JmLuzJ4TNy5ZGI7zzwxG5YEWSGUCoif7wctr4BvHmHv5s+akOQjDln9YGE5fvhw/5+T0qIuYPRuRF1zohqicy2gG1n4O7D5xsqzDDLxRAsgkwA1q98VG1N33X++F9pGPUHWi8/d29PQxePiJq6GaGuGWeG66/WIsXDwXP5dWQJAImBc3FZOm9L6ziVQqwU13XgbV9PFYc8dGtLV1oK2tAw31B/Dk39/G4YNVuCvdvZ0scjz2Lz0P+5dERORMX657okdivrvDpSX47tl/48K0dBdGRUREg2EUpZA68cx5Z55nT8NbVFQU1q9f7+4wenDatvYqlcpq339yP7X6ZGZgsCsbul/XvT0iVwoJDcC6f66EMtjPqnzR4jlIvTveTVGNXjddPx1jx/ScqT5rhhJXXTHFoffqMIp4/MWDVol5AGhpM+OJjYfQ2mY7Sx7gL8NpMwMxa2rAoBLzADBrkv3reqsbrZZuzMT0iy+2Khsz5zRc//4HkHn13OVguCs6aJ2Y7+6dHZ3JeyJ321m6H2vufceSmAeA8j3HcHfyazhxrN5tcUVNHYcrkxbgimXn9JmY72LsMEH70Fs26956KR8Vew87MkTyAOxfeh72L4mIyJn2f/99n885uH27CyIhIiIiciynrZxXKpXQ6/WYN2+es25BAxQXF2f5erArG7oPiM2fP3+oIdEwsuvn/fgg51tUHa/DuAmhSLruAkxRjXFbPHNjJuPdD+9C8bYKNDS0QhUdgVmnjeeqeTdQKrzx/NML8Mobe7BrtwFSqYDYmDBcv3IavOSOnbVYebAVJ2p6nvsOAIZ6E36vaLG5et4RLlbL8PUvRuyosM6yhgUJuGXxyEs2D5V3YCBu+PAjHCouRk15OQLHjcXkBedCKhuZx04c7iWv2WoEapqBiADXxUNky2vZX9k8isRQ24zN720fVhPcjh6uQW21/XNGd/2yD1HTxrswInI29i89D/uXRETkTJJ+9B2lI3DiNxHRSGQWJTA5cXW7WeTCKRpenDZCHhISgoKCAlx99dXOugUNkFKphFqtRklJCYDOgZCBbh3YffBEo9E4ND7yXFs+L8VDq16DqdvSz08/+BFPZ92GeXHRvVzpXAGBPrgw3v6ZtOQ6SoU37r/zdKffp72j9y1tO4zO2/JWJhXw6PU+eO+rDmzbY0KHScSMCVLcGC9HSCA/ANoiCAImxsVhYrfB+5EqxM9+nUQAFD6ui4XIngP7qu3X7R/6edGu5OXVezdG3kc9DT/sX3oe9i+JiMiZojUaVHz1Va/Pmb7k4l7riYiIyPUqKyuRnp5u6SsmJCRg/fr1CAoKcnNknsNp2YSEhATodDpnNU+DtGLFCsvXA/3/MRgMlhURGo0GSqXSgZGRp6ozNOGxB96ySswDQEtzOx5e9RqMHSY3RUaj0ZQJ3vCS294dQSoFVJOcmwH1kgm4fpEXnr3VFxvv8MN9V3kzMU8AgLMmAWPsrIy/eDrgzTwheYDgEPs7i5x6VIynCx+rxLSZE23W+fh6QX3mdBdHRM7G/qVnYv+SiIic5fz7/wLVRRfZrZ/3x+sQc/31rguIiIgGzSTKnP4gz1BYWIjo6Gjk5eWhvLwc5eXlyMzMhEqlQn29+45U9DROyyhoNBro9Xps3brVWbegQUhMTLR8XVBQMKBrc3JyLF8nJSU5LCbybL/sqERLc7vNuuNHDdhXcczFEdFoFuAnRcpK28cp/HlZBEIU/CBG7uErB9ZdDIwLtC4/dwpw17nuiYnoVFdebfs8Z6lUwGV/mOfaYIZIEAQ88vTNCA61/qGTyaX4m/ZPCA1XuCkychb2Lz0T+5dEROQsMm9v/OnTz3DpUxsw+w9/wLh58zAhLg7zrrsOSa+9jsRXX+XRhkRERB4mKSkJoti5u60gCBAEAaIooqamBikpKW6OznM4LYsRExMDURSRnp6Obdu2Oes2g1ZZWYmSkhLo9XqUl5dDr9cjODgY7777rrtDcyqVSoXExETk5eUhLy9vQNfm5uYC6Ny+kD9Eo4fZbO613mTqvZ7I0a5YGAxloBS5n1XjeHUHwoLlWLo4BPHnMBFDrmMyA5/tBn4+0rlt/bzxQMIM4D9JwI4jQF0rMFkJTA8DOF5EnuKyq2Jw8EAN3nzlW0uZl5cU6Q9fiVmnTXBjZIMTNW083vzob9j8zlc4UHkcIWGBuGzpOZg2a5K7QyMnYP/SM7F/SUREziSVy3HuPffg3HvucXcoRERE1Icnn3wSdXV10Gq1SE9Pt0yi60rQD3RC90jm1CWGy5Ytw+bNm/H+++9j6dKlzrxVn+rr65GTk4OCggLodDoYDAYoFAqoVCqUlpZCFEUIguDRgyddW/6d+vVAabVay8BJRkYG0tLS+rxGr9dbtinMzs4e9L1p+Jk5ZzKkMkmPbe0BIFDhh8lREW6Iika78+OCcH4cz6hxBpPYiirzd2gVT8BXGIswyTmQCF7uDsulzKKID0qBrXuAlnYgKgy48RxgYnDnB0qjCfjr58C2/Sevyf/FjP98KWKyApgcCiSdLUFEELPy5FkEQcCtd2uw+NIzsOuXQ5DLpZgXF4mIMcP392louALJd1/h7jDIRdi/dCz2L4mIiIiIyBVMogQmUerU9sn9CgoKoFKpsHr1auTn56OwsJC73Njh1HfsAw88AFEUkZSUhH379jnzVnZt3rwZS5YsQXBwMFJSUlBQUIDk5GSUlZWhpqYGWVlZli0WPF33WSVFRUWDbkelUiEzMxMAkJ6e3q+BmNTUVACd2xZ237qQRr7wMQrcndZz8FMiEbD2kZXw8RldSTuikazZfADft/0RO9vX4PeODdjRvho/tN2IVrNzjq9o2fsLDq6/FxX3r8Chp9LQdqDcKfcZCFEU8WQ+8OJXwO6jwL4a4Ms9wB3vABVVnZ8Xcn+yTsxLWs2QNZtRYxCxY5+ID0tE3PGqCfurhsfnCxp9VFMjcNlVMVh82RnDOjFPow/7l47F/iURERERERE5il6vh1rdeaRibm4uoqKiIIqipY/MHdNOcurK+ZiYGMTExKC0tBQJCQkoLi5GYGBg3xcO0Y4dO7Bu3TrL7H1RFKFSqaDVarFs2TKr53rirI2srCzL1waDAeXl5SgqKkJJSYlVeXBwMJYvX47o6GgolUpL3fLly62+tyUlJQXl5eXIyMhAfHw8CgsL7V6Tnp4OnU4HjUZj2XqQRpflN1yIsROCkffW1zhxzIDxE8Nw3S3xiJk/1d2hEZGDiKIJpe2r0SwesCpvFMuxs30tzvR+2aF/M+u++hQV9y+H2N5mKava9BKiX/wYAfMWOOw+A1W0D9Dt6lne3A78awvwz+XAj93zQSYR0raeO4vUtwBPf2rCP29w6kctIqJRhf3LwWH/koiIiIiI3MksSp26ct7sxLap//R6PRISEgB0Hl9WXl6OTZs2Qa/XQ6VS9eg/j2ZOHzHWarVYvHgxysvLERsbi4KCAkyZMsXh9+naVlCr1UKv1wPoHDRRKpXQarVITk52+D2dxdZqA6VSaXNwIycnp8dzNRpNn4MnQOf/zfz585GcnIyoqChkZ2dbrVooKSmxDJykpaVBq9UO4tXQSHFB/Bm4IP4Md4dBRE5SJ+5Ck6i3U/cLmsQKBAgqh9zL1FiPfWtvtErMA4C5qQGVaddhzie/Q5DLHXKvgfrtiP263UcBk1mE0Xwy8SIx2l8duesw0NohwkfueYkaIqLhiv3LgWP/kqh/jEYzKsqOo6WlHZGqcAQpfN0dEhERERHRsKFSqSz95y5MyNvm9OS8RqPBsmXLsGnTJpSVlUGlUiErKws333yzQ9rfsmULMjMzLasYAFi2SEhNTcWLL77okPu4Um1trcvu1bWNYF5eHjIzM5Geno6amhoAnT9IK1asQG5ubr8GY4iIaPjqEA291rf3UT8QTT/9CFOD7fY6jh5Ai/43+M2Y67D7DYS0lwN/JAIgCMDMCOC3/u70Pzx2NiYiGjbYvxw49i+J+rZn9xH8bXUuDh3o/HmRy6VIvTseK6472yN3xCAiIiIaTsyi1Kmr27ly3jOoVKohHZk2mrhkr9Xc3FwEBwejvr4eoigiJSUFWq0WWq0WS5f2PMu6L1u2bEFubq7VrP7u5/qp1WpkZ2cjJibGUS9hxONZf0REo5u/0NuqQwH+kskOu5do7Oi9vqPdYfcaKPUk4LXv7dRNBiSCgOvjgO/3AUfqAVFqf7B26hjAx4uDueR5GhtaYahtRnhEILx9HLNLhSiK+Oz/ilD4+U40NbYievo43JAcjzHjlA5pn6g79i89H/uXNJxUVzXi/tvehKG22VLW0WHCcxvyERTki0v/MM99wTmZ0WjGBx/8jpKSIzCbgdNOC8fy5bPh5cUBbiIiIhrdkpKSLMeZOUrXJGa9Xt9jEnNKSsqwn8ScmJiIwsJCbN26FQsXLnR3OB7NZQehFhYWIi4uDoIgQBRFlJWVWTrrGo3G8kYPCQmBStW5bW7XG9RgMGD79u3Q6XRW5+J1DZh0zWIejlsMEhEReQI/ySSMl16Ow6aPe9RNli6HtxDmuHvNigFkMsBo7FEn8QuAj2qWw+41ULPHC7j+LBFv/GhdPiYQuGdR59cKH+D5q4HsH4CfjwhokAhobrBeIu/nBdx7CQc1ybM0N7Xhqcc/QcFnP0MUAS8vKVbesAC33L4QEsnQJpI8s+7/kPfWN5bvfyqtxNaCn5D55p2YNCV8qKET9cD+JRE5yucf7bRKzHf39mvfjdjkvMlkxtq1W1BUdPJcpx9/PITvvjuIp59OgI+Py4YMiYiIaIQziRJInLi63ST2shXmABkMBsTHx6OkpMRhE45LSkoQHx8PoPM4sOXLl1sS8TqdDunp6UhPT4dWq0VaWppD7ukOKSkpWLNmDdLT07Ft2zZ3h+PRXPZJW61Wo6ioyDKAApwc/NDpdNDpdH220X31AgDLQEz31RIKhWJAcXXNTiEiIhrtZsvXQoYAHDDlQYQREnhhsmwlpspudeh95OHjMOG+dTj05OoedRMffBbtTZ+gdd97MHecgEQ+Br7h18A79GqXbSl6wzkCpo8R8eUeoLkdiAoDlsUAQb4n76/0BVb/bwKoKEpQ+KuIwl9ENLSKmBwq4JoFEkwK5ap58hyiKOJvaXn48dsyS1l7uwmvv/Q1RFFE6l3xg267ZFuZVWK+i6GmCRn/2IRnX3Hs7xAigP1LInKcI4cNduuO9lI33L3//u9Wifkuu3ZV4c03f8Ytt3C3ECIiIho9SkpKkJmZiaysLIe2m5GRgfT0dKjVahQXF/eo12g0KC4utiTot2/fjtzcXIfG4Epr1qzBmjVr8MADD+CJJ55wdzgey6XTYLsGUOLj41FXV9djEKU/ul8jiiI0Gg20Wu2gtxjU6/WDuo6IiGikkQhyzPS6H9PFO9GOWnghBBLBMVtenyri+nshj5iAE28/j47jh+E1fgrG/HkVZFP3ofnIa5bnmTuOoOnw0zCbGuA35k9OicWWs1UCzlb177mCIEBzmgDNac6NiWgofv35kFVivrt3X/8e1990Hvz8vQfVdmmR/c/TO4srYDKZIZU6bhY7URf2L4nIESLGBNmtC++lbrgrLT06qDoiIiKigTKLUpjNnnPmvMFgQFZWFsrLy6HX61FUVASDwQCVSgWNRtOvyd790bUqXqVSobCwsNfnarVa6PV65OXlITU1FZmZmQ6JwdXS0tLw3nvvQavVIjo6GjfffLO7Q/JILh8lU6vVqKysxLJlyywDIIIg9PvRdY1arUZBQQHy8/OHdPZfbm6uy1biERERDQcSwQs+whinJea7BC9JwvTXvsScz/Zg2ssF8D9LjZbjr9t8bsuxV2A21jo1HqKR7MC+art1HR0mHD1S57R786M2ORP7l0Q0VBdfMRcBgT4265KuPcvF0biO2Wx/IlNvdURERETDnV6vR3p6OnJycgB0bsdeUFCA8vJyJCUlOeQeBoPB0lZubm6/zpPPzs4GAGRlZTlsgoA7bNmyBZGRkUhJScGGDRvcHY5HcssSFoVCgdzcXOTn5yM+Pt4yINL16K57uUKhQEpKCoqLiy0rJAZjx44dWLt2LaZNmwadTme5p1qtHvJrIyIiosExteoB2BsINMHUus+V4VgYzSLeKTPivu/acd937fjP70a0mThgScNLcIh/r/XKYL9Btx0TZ3+biXlxKkgkXDVPzsX+JRENRcSYIDz57LUICw+0lEkkAv6ceiGWLo9zY2TOdfrpEYOqIyIiIhoosyiFyYmPga6cV6vVEEURtbW1KCgogFarhUajcehrTk9Ph8FggFqt7nffUKlUWs6cd9QkAXdQKBQoLi5GZGQk0tLSsHLlStTX17s7LI/i0m3tT6XRaKDRaFBXV4esrCxs374der0eer0eBoMBSqUSKpUKcXFxSEhIwLJlywZ9r+zsbGRlZaGkpMSyMiI+Ph5paWmIi4sb0uoIIiIiGjpB0ntyUJD4uiiSk4xmEfd/34HvjpktZV8fNeOrIya8cL4XfKRcHUnDQ0xcJCZMCsahAz13oDjvohkICQ0YdNvqM6di+XXnI+fNr63Kg0MDkPbQ4D+/Ew0U+5dENFinz5uE9z6+G7t+OYSWlnZMnTZmRG9pDwCJibPw3XcH8euvJ6zKIyMVuPHGM9wUFZHnMIpmvNm2C18ZD6FdNOF0WRhSvc+AUjK4o6CIiGj06No2HwBWrFgxoGtXrFiBjIwMGAwG6HQ6h08acBWlUmnZiSAnJwcFBQV46aWXsHTpUneH5hHcmpzvolAosHr1aqfeIyQkBCkpKRwoISKiIfvtkIgvdppR2wRMCAH+ECvBWCWTtEMl850JiXwszB09z7iUeE2C1Dfa5THl6k1WifkuP9WIeHW3EbfNce7W/0SO4u0tg/Zf1yDt7ndw+ODJBP0ZMZPxwD/+MOT271lzJWbMmYjCz3egqbEV0dPG4YbkRYgYqxxy20QDxf4lEQ2Gt7cM82KnuDsMl/HykmLDBg3eeusXlJQchdks4vTTI3DDDafD39/L3eERuZVJNOPepi+x1XjQUlZqOoGtHQfxdsAlCJHYPgqDiIhsM4sSmEXn7arnzLYHo2u7fGDgO6p1f74zVvS70o4dOxAd3TmeW1tbi8TERMTGxkKr1WLhwoVujs69PCI57wpDWRVBROQuoiiistKAY8eaMWaMHyIjlTzH1M0Kfjbj6U/NsBzDWA7k/2TC+mukmDaW/zdDIUjkCJzyBOor7odoMpwsl4UicMrjEATXf2zZdrxnYt5Sd8KM21wYC9FQRarC8Ubebdj+gx7VVY2YMCkYMXGRkEqH3okVBAGXXBmLS66MdUCkRJ6P/UsiGgm8vWW46aZ5uOkmd0dC5Fk+bNdbJea7HDA34OnWYjzmd64boiIiouEiMzPT8rVKZf8oQHuUSqVl5XzXLnDDSWVlJRISEqDX6wHAks8QRRFFRUWWCQcajQYJCQnQaDSYN2+eu8J1i1GTnCciGm4aGtrwyCNfo6joiKUsLm4cHnrofAQGchs1d6hqEPGvz7sl5v+nsQ3QfmRC1i1SSDh5YkhkfjOgnP4G2gz5MHecgMRrDLyViyGRKd0ST28ny5/6PiAaDrx95DjvohnuDoOIiIiIyGMVmY7ZrzMed2EkREQ0HJWUlFi+HkxyXqVSWdronsweDgoLC7F48WIAncl44GRyXhAEiKJoKdfpdNDpdJZrR1Oy3rP2eiAiIgCdf7geffQbq8Q8ABQVHcGjj35j+QNGrvXLAREdJtt1B6qBqnrXxjNSSeQh8A1fCf/xd8E3bLnbEvMAMDfU/keleb3UERERERER0cjD6fhERAMnihKIotSJD88Zo+uemB/sivfuCf2CgoKhhuRSSUlJlq9t7QAsCILl0ZWo73rodDqkp6cjNjYWUqkUS5YswVNPPYUdO3a48BW4htNWztfX1yMnJwcqlQqLFi1y1m2IiEak/fvrsX37YZt127cfxv799ZgyReHiqOwzmUS8vfkAPik4itq6dkwY64vrkiZj0Xnh7g7NoUz2dzjvrOeciRHn2qlS/PewCb/UWv/nqgIFJM/iBkRERK7C/iURERG5ypmysfigvdxm3XzZGBdHQ0Su0t7WgR+/+Q1HDlUjfIwS51x4Gnx8vNwdFg0z3VeCD2bV/KnXdU/2e7onn3wSBoPB8r1KpYJSqYRer7cqB04m6bs7dUHiSF5Z77RR5VtuuQWbNm0CAKSnp+OJJ55w1q2IiEacEyea+qz3pOT8v7LL8FnhyW3fDhxuwbp//Y7WNhMujR/rxsgca+Z4AQJsb3UeEgBEBLk6InI2b6mAjRd44eXdRhSd6DzSYG6oBCmzZAiQD681Ex1GM44cbwcgYMIYL0ilwyt+Ihrd2L8kIiIiV7lCrsJW+QEUdOy3Ko+UBOF+H7WboiIiZzp+tBb3Jz+Hst0HLWWTIiPw9Et3YdKUCDdGNjKYzVKYzVKntu8pystPTu4KCQkZVBuhoaGWr7vObR8OCgoKIAgCMjMzccstt/SoLy0thU6nw/bt26HT6awS9qMtWe+05HxeXp5lWwKtVsvBEyKiAYiI8B9SvSuVVTRaJea7y3ytApoLIuAl95ythYZiQoiA686T4I1vrJfQSyXA/ZdKIJUw2TkS+UgF3DFH7u4whqTo5wY8lX0INXVGAEBYiAxrUifhjJme87tktNq/rwaffPgzqquaMG58EK64ai4ixgS6Oywij8P+JREREbmKRBCwwe8CvNu+B191HEQHzDhNGopkn9MRKHAVLdFII4oiHrwn2yoxDwAHKo8j/bYX8fqHf4VM5jnJX/JsNTU1Dm1vOCXni4qKoNFobCbmASAmJgYxMTGW7+vq6pCTk4OCggKHJOsTEhKQnp6OhQsXOuDVOJdTkvOlpaVW3w/2XAUiotFq8mQFzjlnAr7//lCPugULJmLyZM9ZNa/fZ3+Vf3OLCcdPtGHieF8XRuRc150nwfhg4LMdZtQ2A+OVAlYukGD2BCbmyTPtqWjBQ8/sh7HbuQtVNUY8uKESzz4cjciJPm6MbnTb9n0FHkz7P7S1GS1l7+fuwIZnEzFj1sjZdYRoqNi/JCIiIleTChL80Xsm/ug9092hEJGT7dMfw88lto+y0O89jF0/V+L0mGgXRzWydJ4577zFW5505nz3ZPpg+67Duc87kNgVCgWSk5ORnJwMAKioqIBOpxt0sj4/Px8FBQXIysrCzTffPOjX4ApOSc53n6kgCAKWL1/usLYrKyuh0+lQXl4OvV5vOatAqVQiJCQESqUS8+fPh1qtRlxcHIKCuMcwEQ1PDzxwHtat+xbffXdy1uaCBROxdu25boyqJ1/f3meO+vh4zocjR1k0R4JFc0be66KRKffTE1aJ+S5t7SI2f1GN+2+e4IaoqKmxDf/42ydWiXkAqK9vxd8f/Bhv5t4EqZS/Z4gA9i+JiIiIiMh5DLWNvdfX9F5PA2c8XOXQ9kzHHLtafShOPVvdUW0Oh4R9fHy8Vf99oKKioqyS9YPZBl8URaxfv350Jue3b98OoPMfQhAEaLXaIbf51FNP4b333kNJSYlVefeZEV3/EXl5eZYylUqFW2+9FcuWLUNkZOSQ4yAicpWAAC88/vhCHDrUgOPHmxAR4Y8JEzxvq+N5c5QI9JehocnYo272jECEBnPLNyJ3OnKiw37d8XYXRkLd/fLzYTTUt9qsO3TQgP2VNYiKDnNxVESeif1LIiIiIiJylklTwi1HaNkyOWqMiyMaeUSzBGbzyQUIR+P+5L5ghqGampphkZxfu3YtNm3ahJUrV+Ldd98dcnunboPf35X1jj5awBmcshyna9sGQRCQlpY2pNUFL730EkJDQ5Geno7i4mLLzIeuR9c/ePcZEt3ry8vLkZaWhujoaJx55pnYunXrkF8fEZErTZgQiJiYsR6ZmAeAwAAZ/vqXmfA7ZQX9uDE+WHv3jB4z2IjItYIV9udi9lZHztXe1nNCk1V9h8lFkRB5PvYviYiIiIjIWULDFUi63vYZ1Rf/4SxMUfHYOeo/RySGQ0JCHBCJ66nVaqxfvx45OTk488wzsXPnToe237WyPicnBzU1NSgvL0dmZiYSExOhUCgs/fa1a9c69L7O4JQR2e5nKgz2H6GyshJJSUkoKSmxuXqhO3szmk4dUCkqKoJGo0FsbCyys7Mxd+7cQcVGRETW1KcrkbUhBlu/rYKhrh0Txvpi0fnh8Pdj4o/I3a5YFIIfdzT0KBcE4PJFw/PD/kgwfeYYCAJg62Osr58ck6cEuz4oIg/F/iURERERETnT3WsT4ePrhXdf1aG93QiZXIqrVp6Pu9MT3R3aiCBCAlE8ubArYtubDm3fdKwa1Vfc49A2HWG4JtmHIi0tDSqVCikpKVCr1YiOjkZ6erpTtpk/dRv8uro6AJ1n2Xs6p2RNDAbDkFY1ZGdn49ZbbwVwcuvC7roPlqhUKqjVast5gF33r6mpQUlJidVATpeioiKo1Wqkp6fjiSeeGHB8RETU05hwH6y8aqK7wyCiU5w5NxB3Xj8OL759BKb/LcaWywXcfcN4nDHT373BjWJjxgbhppRz8XLmtz3q7vnLIvj68kgQoi7sXxIRERERkTPJZFLcvmopku++AtVV9QgODYS3t9zdYY1Y0nHh7g7BJQa7iv7U64Zbkj8xMREJCQl44oknkJ2djeTkZKSkpCAhIQEajQYajQbz5s1z+H2HQ1K+i1OXNK5YsWLA19x2223IysqyDJCcujoB6NwaYe3atdBoNP36xy4tLYVOp7M6U1AURWi1Wuh0Ouh0uiFtjUhERETkya7UhOIcdRB2lzdDEATMnuqLECU7me52w01nIyw8AJtzS1F9ohHjJihx7Q1n4vwLp7o7NCKPxP4lERERERE5k9xLhrHjh1cidFgQJZ0PZ7ZPHkWhUECr1UKr1SIvLw+ZmZnIz89Hfn4+BEFAcHAwsrKycPXVV7s7VLdwSnJeqVSirq4OKpWq39dUVlYiISEBer2+x2qGrkGTlJQUpKenIyoqakDxxMTEICYmBqtXr0ZFRQU2btyI7OxsGAwGFBcXIy4uDkVFRRxAISIiohErPESO8JDhM4N0NBAEAZddeTouu/J0d4dC5NHYvyQiIiIi6t3xYw2orm7GuPFBUCp93R0O0agVEhICg8Hg0Da7dnUbrhITE5GY2HlEhE6nQ25uLgoLC23uTDdaOGU6SWxsLAD0ezAiOzsb0dHRPQZOugZN0tLSUFtbi40bNw544ORUUVFR0Gq1qKmpwerVqyGKIsrLy6HRaIbULhEREZE7lPzejrTna3HDo1W45581KNjeYve8ZCKi4Yj9SyIiIiIi2+rqWpD+lw+RdNWruPXm97D0spfwr6f/C6PR5O7QiCxEs8TpD08x3BPpzqbRaJCZmYmysjKsWrXK3eG4jVPesUlJSQCAnTt39vq8yspKLFmyBLfeeqvVNoOiKFq+12g0WL9+vVPOCtBqtZYVDcXFxXjggQccfg8iIiIiZ/lqRysezDLgp/IOHK814/f9Rmx4pwFvFzS7OzQiIodh/5KIiGh4MYsm1Ih7cVzciVbR0Ofz2xob8clf7sc/Tz8NT8+aidwbb0TdoUPOD5RomDObRfx1zSf44btKq7LNuTvx4rPfui8wolGs+/nwg11B3/06JvtHJqck51esWAGFQoF169bZrK+vr8fatWsRHR0NnU5nWc3QNWiSmpqK2tparF69GjqdDvv27XNGmAA6zxesqKhAZGQktFot6uvrnXYvIiIiIkdp7xDx79wG2Fok/+YXTThSzVnyRDQysH9JREQ0fBhEPT42X4/PzDehwHwnNpuvwi/m1+3u7tXR0oKXNRp89+9/48Tu3aguK8OOt9/CiwvOQf3hwy6Onmh4+XnnYfy0w/bPyfubfkJjY5uLIyKi7sex1dTUDLm97sl+GjmckpxXKBTIyspCTk4Obr/9djQ0NAAAduzYgbVr1yI4OBgZGRlWKxgUCoVle8EXX3wRCoXCsuJBq9U6I0wLpVKJ3NxciKKI7Oxsp96LiIiIBkcURfzX9BvWd3yAf3Tk4i3j12gWR29H83C1CY0ttge4RBHYe6DDxRERETkH+5dERETDQ6towBbz/WjAAUuZCBN2itnYK35g85ofXnwBh4qLepQ3HD6M/L/+1VmhEo0IRw7bnwhqMplx4nijC6Mh6oVZApilTnx4zrb20dHRlq8Hu3K+vLzc8nX3ZD+NHE57xyYmJiI/Px/vvvsulEolpFIpYmNjewyaaDQa5Obmoqampsf2glFRUYiJiUFmZmafWxgOlVqthkajQX5+vlPvQ0RERIPzoikfTxjfx1bzr/jOvAevm77CPR3/Qb04Ordwl0v7qJcJrgmEiMgF2L8kIiLyfJViAVpQbbNul/iOzfKD27fbbe9gkf06IgJCw/x6rQ8J7b2eiBxPrVZbvh7syvnu13Vvj0YOmTMb12g0qKmpQV5eHioqKiyzPaKjo6FWqxEfH99nG1qtFosXL0Z8fDwqKioQGBjotHgTEhKQlZXltPaJiIhocLaZyvB/pp6rKfaLVcgyFmKV/Ao3ROVeY0OlmBAuxaETPbev9/UWMCdK7oaoiIich/1LIiIiz9aEo73UHbNZLpV72b2mtzoiAuapJyIyKgSVFT0TgPEJ06FQ+LohKiIbREnnw5nte4i4uDjL14NdOa/X6y1fz58/f6ghkQdyanK+S2Ji4qCv1Wg0iI+PR2FhIeLj47Ft2zYHRmZNqVRavemJiIjIMxSL9v8+F5tH599uqUTAmuuDsPZFg9X29nIpsPraIAT5e07HZLg6erQRx441ISzMDxMmOC+BR0QDw/4lERGRZ/JDeC91ETbLp198MXa+87aduiUOiYscb//hNvyub4ZMJmDuTH+EKDk53B3kcinWPXkFHkj7GBX6k7tWnLMgEqvSF7kxMqLRS6lUQq1Wo6SkBEBnon2gW9N370dqNBqHxkeewSXJ+aHKzMzE1KlTUVxcjOnTp6OgoABTpkxx+H3Ky8uhVCod3i4RERENjUk026+D/bqRbtpEOV5cFYKPv2vBkWoTggMlWHKWL1Tjh8VHPI/V0tKBJ5/8Hlu37rOUnXXWBDz44LkIDPR2Y2RE5AjsXxIREQ2dSTRDhAiZcPK8rUhhMX4V30IbDD2eP1NIstnO3GuuQXlhIUpef82qfMq552LRX//m0Jhp6ERRxKt5x/Dux1WWMm8vAfffPAELz1a6L7BRbPwEBV567Rr8+vMRVFc3YeIkJaZND4cg8Kg78iBdZ8M7s30PsmLFCktyXqfTISUlpd/XGgwGy4p7jUbDPuUINSyWVKlUKuTk5EAURZSVlUGlUuHll192+H10Op3VlhNERETkGWZJJgyqbjQID5biz5cF4IEbFLhtaSAT8w7w1FM/WCXmAeDHHw/hkUe+tpxrTUTDF/uXREREg3fc3IDVrR9A0/Is4lueRUrr2/jd3Lllva8QgoWSJ+GHMd2uEDBHuA4z7CTnBUHA1S+9hBVvvgX1DTdi7jXX4vJ//gs35RdA7sstuT3N5/+ttUrMA0Bbu4iMrIPYW9nipqhIJpNgbswELNJMx/QZEUzME7lZ993eCgoKBnRtTk6O5eukJNt/O2n4GxbJeaDzzbx69WoAnTP0UlJSMH36dLz//vsOaX/Tpk0oLS1FQkKCQ9ojIiIix1koOQ1nSab2KFfAD7fJFrshIhqpjh9vwpYtlTbrioqOoLy81rUBEZFTsH9JREQ0cPViK+5sy8EP5goYYYYZInaZj+HO1hzozZ0J21BhJq6UvI0EyfNYKHkKSyV5mCdJ7TVZKAgCzlixAstefhnLX38d59xxB2RePG/eE336pe3+kMkE5H/NvhIR2SFKT66ed8ZD9KyV8yqVypKgz8vLG9C1ubm5ADq3xx/IinsaXoZNch4AtFqtZQAFAMrKypCYmIhp06Zhw4YNqK+vH1S7W7ZsscxA4ZudiIjI80gEAQ/JEnGj9EJMF8ZhihCOeMnpeM7rJowVlO4Oj0aQY8eaeq0/erT3eiIaPti/JCIiGpi8jlIcEXv+fWyFES93fG/5Xip4IUI4A+OFs+An2D5rnoan2nqj/bo6+3VERMNF15byp349UFqt1vJ1RkZGv67R6/XQ6XQAgOzs7EHfmzzfsErOA51v6I0bN0IURQiCAFEUUV5ejrS0NAQHB2PJkiV46qmnsGPHjj7bqq+vx2233YaEhAQIgoC0tDQEBQU5/0UQERHRgMkEKa6VnYdnvW5CllcK0uRXIkJQuDssGmHCw/16rY+I6L2eiIYX9i+JiIj6Ty9W2a8z268TRZMzwiE3mDDG/o4GE8Z6uzASIhpWzAJgljjx4bijHLpvQ19UVDTodlQqFTIzMwEA6enp/Ur0p6amAujc6a371vg08gzLQ0lTUlKgUqmQlJSEuro6yyAK0HmuX9fMEqDzB0CtViMkJARKpRJA5+yTkpIS6PV6AJ3bGMbGxmLdunUufy1ERERE5DnGjg3AuedOxLffHuxRd8YZEZg2LcQNURGRM7F/SURE1D8BsJ989Resk7Zm0YhyYzYOGjejA3XwFcZDJbsFE2SXOztMcqJrrwzHzl1NMIvW5YpAKa5YxL4SEQ0fWVlZlq8NBgPKy8tRVFSEkpISq/Lg4GAsX74c0dHRlj4gACxfvtzqe1tSUlJQXl6OjIwMxMfHo7Cw0O416enp0Ol00Gg0lq3taeQalsl5ANBoNKitrUVqaqple4eus4u6BlIAoLy83DJIcqqu56nVaqsBFyIiIiIavdasORePPfY1fvzxsKXsjDMi8Pe/X9DrWZlENHyxf0lERNS3eNkMfGL61WadRjrT8rUoivit43EcNn1iKWsRD+PXjkdgRhsmyZaho+kndDT/DEGQQO4fC5nvdKfHT0M3d1YAHrp7Mv756iEY6jt3RIic6I21t05CWIjczdERkacSzFIIZuedCz+Ytm2tZlcqlTaT5zk5OT2eq9Fo+kzOA527tc2fPx/JycmIiopCdna21ar4kpISS2I+LS3Najt8GrkEsftIwzBVUVGB9evXW53B0NfAadfLTk9P54oGGrSDBw9i0qRJAIADBw5g4sSJbo6IiIiIHEEURVRWGnD0aBPCwvwwdWowE/PkMPwM6dnYvyR34O8FIhou3uzYhsyOb63KlkhnYa3XYkiFzhNU68278UPbDTavl8IP82svQ3vN+91KBfiNSYVfuO1r7GmqqkJHczMCx4+HVDZs16ANSyaTiGNV7ZDLJQgLlrGvRORGnvo5sntcEYWfQjp2jNPuZTp6DMfjLwXgWf8Gp8rLy0NmZib0ej1qamoAdO7OtmLFCqSkpPQr2U8jw4hIznepq6tDTk4OCgoKoNPp7J7hoFKpkJiYiLVr10Kh4Fm1NHie+oePiIiIiDwXP0MOD+xfkivx9wIRDSe/m49hu2kfjDBjtmQc5ksmWyVnDxk/xq8dj9i9fvZ+KXw6eiZzg6ZsgFfgOX3ev7ayErl/uhH7vu2cJOAfHo4r/vVvnJ6UNIhXQ0Q0vHnq58jucY3RfeH05PwxzRIAnvVvQGTPiJpSqFAokJycjOTkZACdgyndZ6CEhIRApVJxwISIiIiIiIh6xf4lERGRbTMkYzBDYj/JIhP8e71earZd3mb4os/kfIvBgJcXJ6C2osJS1nTiBN699hrIfH0w6/Irer2eiIiIyN1GVHL+VAqFAjExMe4Og4iIiIiIiIY59i+JiIj6J0QSBzkU6EBdj7qANl/ITR02rzObGvpsu+S116wS891teeRRJueJiIjI443o5DwRERERERERERER9U4URXSIgJdkYGeHl5r12Gr6CQ1owWQhHH+Qno0QIRBzvbTY0b4KRjRanusnTMa0pkgA39lsS+YT1ef9qvbssV+3136duzS2injxK+B7PdBuBKZGALdfCEwfwzPaiWgUMQuAWeLc9omGESbniYiIiIiIiIiIiEahRqMZ68sa8cmxVrSYgUhfKdKmBmBRmLfN54uiaDlf/n3j93jJlG+p24Y9KDTthFb+J0yQqrHA510cM+nQLtbCV5iIsdIEIPQ46up2QDQ3W7UryELgG7qyz3j9I8Lt14Xbr3OHNqOItM3A3uMny349DNyfC/xzuYipEUwmERERjUZOnKpCRERERERERERERJ7IaBZx2891yDvSmZgHgMoWE+74uQ5bqtosz2s2mfG3yirMLa7E1O0VuOSXg9hcvx+vmAp6tFmLRvzL+CEAwEeIwBTZtZgmvwMTZX+ATPCDzCcSiqjnIPWZ/r8rBMj85kIZ9SIk8rA+Y5678hrIfHxs1sXddNPA/gGc7ItfrRPzXdqMQNbXro+HiMhdBFEKwezEhyh190skGhCunCciIiIiIiIiIiIaZQqr2rDd0PP8dxGAtqwRi8K8YRRF3LL3KL6rb7XU72pux+NVuzB2gmiz3V/F/WgVO+AjyG3Wy3xnInjqfyCaWwEIECS2V+nbEj5jBla89TZyb7ge7U1NlvLYP9+EC1an9bsdV9Cf6KWuynVxEBERkWdhcp6IiIiIPJLJZEZTswmBATLL1plEREREROQYe5tMduv2tZjQZhKxpa7JKjF/ku3EfBczzH3eX5DYXgHfl9lXXon7d/+O8sJCtDc3Y/y8eZg4f/6g2nImH9tzEwAAXjKgtk2E0gvs6xDRyGeSQjA5cXW7M9smcgIm54mIiIjIo7S1mZD56h58pjuMjg4zggLluOEaFf5w6SQOXBEREREROUiAzP5na28JIJd0rpK3pbnZ/vnuU4Rw+An9Xw0/GIFjx2LeH//o1HsM1XlTgU2ltusOwIiET0yYGiTgkTg5pit5+iwREdFowb/6REREROQxRFHEExt+xoefHURHR+dqm/qGDjyX9Ts2fbjfzdEREREREY0c8WHe8LYzOnxJhA8kgoAAqe0ntDSHw1A1o0e5N2S4W3alI8Mctk6bICDl/J7lHT5mtCg6dy0oqxeR+nU7DjX1vdMAEdFwJTFLnP4gGk74jiUiIiIij7Hr9zp8+6Ptwxn/83Y52tvtb71JREREROQOjc0mfFfagC0/1KHyUJu7w+m3Sb5SZMwK6pGgVyvk+Ou0AACARukHLzsL7M9sXYg7ZZdhtjAJE4UwnCuZhQ3yWzBTMtHJkQ8fSbEC/r0C+OOZwJhxJjSGdqAxvMNqVL6hA3hrL/s5REREo4XDtrXfsWMHdDodqqurHdXksBIaGgqVSoWrr77a3aEQERERDVv7DjTZrWttNeF4VSsmjvd3YURE5A7sX7J/SUQ0XOzY1YTHXjiEhm7nt1+xMBi3/XEMpBLPP5JpSYQPZgXKUHiiHQ1GM6YFyKAJ84b8f7GrfL2QERWO1RUn0NHtmPm5/t74+5QwKKRjcIk0zulxNp04gR1vvQXD/v1QTJqIuddci8CxY51+X0eYNU7ArHFAfqEJHXWizefsb7RdTkQ0EghmCQSz886FF7hynoYZhyXnFy1ahLq6Okc1N2zl5uZyAIWIiIhokAICev94Ghggd1EkRORO7F92Yv+SiMizHavqwD+ePYjmVustyT/aWovwEBlWXBbmpsgGZrKvDH+ebP9z+FVhgTjN3xuf1zahwWjGDD8vXBYSAG8XTT44snMn/nPZpWg8dsxS9t+MDNz40ceYGDf4iQH1Ygt2mQ/CBDOmScYhXAhyRLh2Kb0EALaT8Ervk1+bzCLKjwHN7SIiwwQo/T1/kgcRERH1n8OS8/Hx8di0aZOjmhuWlEol1Gq1u8MgIiIiGrbUc0MRrPRCraG9R918dSgUQV5uiIqIXI39S/YviYiGgy0/1PVIzHf5+MvaYZOc74+pvl6409f1n8VNRiPeWbnCKjEPAM1VVXhnxXLct2s3ZF4Dj+sb0248ZfwILejsd0gg4GbpIiTKznZI3LZcGSnFthO23y9XTOlcUVp+TMSj75twxNBZLhGAP54rwR/PFSAITNIT0fAkiBKnrm4XRK6cp+HFYcn53NxcABi1qxsUCoW7QyAiIiIa9vz9ZPjHA3Px0OM7YKjrsJRPiw5E2j2nuTEyInIl9i/ZvyQiGg4M9Ua7dbV1PEPcEY7u3InqsjKbdYb9+3GoqAhTFiwYUJtl5qNYZ3wfRpxMlJshIttUiAhBgQuks4YUsz0XT5JiX4MZ2btPvjekAnDfGTKcFSGFoVnEgzkm1HY76cssAm98Y4bCT4Ir1EzOEznDbz9V4rMPfkCdoQlTosZg2R8vgjIkwN1hEdEI5rDkfBcOIhARERHRUMyeocTLzy3Ad9tOwGBox4Txfjh7fji85JwJTTTasH9JRESebFy4/RXb48J5HFN/GZub0Lh3NwQvLwROmwWJ7OSQdXtTY6/X9lVvy2emUqvEfHcfmoqclpwHgNTZcsRPkOLnGjMEAYgNk2BSQGc/Z8uvolVivru8H824Qt17f6ipVURzm4iQAAFSKRP5RP3x8abv8MQDr8NsPnnkxP/lfIMX3vwLJk4Jd2NkI4vELIXEiWfOO7NtImdweHKeiIiIiGioFEFeuEQzwd1hEBERERHZFb9Agc35NThW3dGj7torRs6W9s60P/cN7Fx7Bw5XNaKqTYBZIse4+fNx8ZNPY+L8+YiYNRsSmQxmY89dCgSJBGPmDHx3rWrYT+hXo2HA7Q3UVIUEUxU9E+0n6m2fRw8Ax+vtt2doNOPp91ux7ffOFfkBvsAtS7xxcRyPBCPqzeEDVVj/tzetEvMAcPxoLR5JfxVZ76a5KTIiGum4/IiIiIiIiIiIiIhogAL9pVi3ajKmR/pYyvx8JLjnxrFYeDZ3f+nL0cJPUXL3jdAfa8L+JgmajQJa242o+PZ7ZF10ASq++i/8w8Ox6KGHbF5/0dq1CBo/fsD3HSco7dcheMDtOUp4oP3V7uFBtsvbO0Q8+FqLJTEPAI0twD8/aIOutOekEWcSRRFNzSaIov1JBkSeZNt3u2DssH0EyU/F5WhsaHFxRCOXYBYgmCVOfHC3EBpeuHKeiIiIiIiIiIiIaBAmjPHCv/8WiePVRrS2mTE2XA5vL66H6o+9z2rR2AEcb+2ZVDG1d+D9W2/F/b/twkVr1sIvJBTfPPM0DPv2QTFpEs69+x6cfccdg7rvFdI4fG7agWa0W5ULAJbLzhlUm46wcI6A934ADM0965bNt/2e+vY3I8qP2N6i/zVdGzQxzj9ewWwW8e5Hx5D36Qk0Npvg5yvB0iXhuG7pWEglTJiR5+po77kjx0DqiYgGi8l5IiIiIiIiIiIi8hj7DzRib3kdvL2kOP20ECiCPHt7bkEQMCaMZ8wPVPOBSjT2kvuq3rsXLbW18A0OxlmpqTgrNdUh9x0vBONx+TVY3/EBjqEOABAAH9wjuxTzJJEOucdA7T0B/H5CwKVnSpFfbELV/3bXlwjAynMEXBlrO8l9sMp2Yh4ATtSJaO8Q4SV3boL8lZwjyPnkuOX75hYz3vrgGBoaTbjzxolOvTfRUMw+I9Ju3dgJoVCGBLguGCIaVZicJyIiIiIiIiIiIrcTRRGZr+xG7vsVljJ/PxkeWD0PZ8+PcGNk5Aw+Y8dDUn6g1+dI5M6Z9DBbMhGvet2OA2I1TDBjohACb8H1EyxEEXjhO2DTT10lAuRSKVZeAJwxTkRkuIDQAPvJ9SA/+3W+XoDcyaP/tXUdyPv0uM26D3VVSLw0HGPDvZ0bBNEgzZkbhauvvRCb3/6vVblUJsHax66DIHDnB0cRTFJITFKntk80nHCPJSIiIiIiIiIiInK7Dz7eZ5WYB4CmZiMeWV+CAwcb3RQVOYvqpjsR5AUIsH1G+ZQFC+Ad4LyVq1JBgkhJOKIlY/qVmG80mbC/vQ3tov3V6gP14a/dE/OdOkQBb/0kwM9PYjMxX90g4uMiI975ugNeXgL8fWy3naCWOz25eOBwG8y9HDG//3CbU+9PNFSrHl6J+x5cjmkzJyJibDDmL5iFF978C846b7a7QyOiEYwr54mIiIiIiIiIiMjtPvx0v83ytjYz8rccws03zHBxRORMk5b9EeojB1H/0IPY1yCi89T3ToHjx2PZy6/0u636b75A9fuvwlhzHN5TpiHixvvhE+WY90u9yYT0I/vxYX0tRAB+ggT3hI/FnaFjhpz8/my37XKzCOTvAWaNsS4v1ZvwaE47mrrlvCeHygCDEU2tJ8vOmSXDLUucv2I9wL/31aqBfdQTuZtEIsGKP8VjxZ/i3R3KiCYRJZCYnbdWWCJyHTINL0zOExERERERERERkdvVGuyvsq2p5QrckWj6nemYdPUf8du7b2HPf7+GWeaFiNNOwzl33ImACNtHGfz2f/+Hne++g1aDAWPmzMHpU0NR9cLDlvrG4q9R+9l7mJr1Ofznnj2k+EyiiJsPlOPb5pM7NzSLZqw7fhgAcFfY2CG1X9faS12L9feGJhGP5Von5gFgfzWwYIYXzp8pQVObiMgICU6LlLpkS+7/b+/O49u46/yPvyUfuRPZudOkSeTeJ5WT0pYe0Mhdyk2xG1i2LIWNvZQf27IUiyzLspxBZne5ClTOciwsC4nMXU4rlFKOHrFKoQc9pLRN26RtYk2a24fm94eRItmSLckaaSS9no+HH1E0mpmvZr4ez+f7me/3u2blTLlXzVR098QvsnLZDJ22drblZQAAoNKQnAcAAAAAAABQdiuWzdYjBw9kXHbS8tpJ8pmmqQd2m3pkj6kGp3TBWqdOXlS9cx/PWrFSrf/sU+s/+6b8bOgj/67bP/7x5P/33BHS0haHnOMOT/zoYT35r+/QmT98QA5n4T0q/3DkUFpiPtXnXtirroVL1OgofPsrF0jPHcy8bJUr/f93PzqqQ1mS+X94JK7N7Y1qrC9tPXE6HfrQjWv1wZ6Inn1+KPn+koUN+vBNa1VXV731FkDuHHGnHBb2nLdy24AVSM4DAAAAAAAAKLu/e/Mp+tDHBia8v7B5hq6+alUZSlR6cdPU5342qp//8cRE3k5HXDdc5dRrW2t7iPDd99yTlpiXpIWzNCExn3D8ycc0/Pyzaly2suB9Ro9n79p+xIxr7/CwTm4sfPj4v18n3feMJszb3jxbev056e8dOpZ9cndT0pHjUmMZWvtPWjpDX/7E6frdzgN6bt+QFi9s1MtaF2jO7NqurwAAZMPjJKgara2t6u3tLXcxAAAAAAAVjvjSWnfd+bA+eNNXdcN1n9en/u072v3E8+UuEmzikpcu1eb3na+5c05kGN1r5unTn3ipmlzWz59tB9+/J56WmJfGErdf/EVcD+yOl6lU9hD99e0T3pt65Pb0Y/msHtWd+pZu19f0kH6juEYnXXthffZst0NSU930suHnLJe2vEpaPOfEe6cvlv7rdWMJ+lSrF2dvyl8we+ynXGbNrJP30ma99Q3LdNVlzSTmAaRxjjrlHK2z8IdUJyoLPedRNcLhsLq6utTV1SW32y2Xy6Xm5uac1vX5fPJ6vRaXEAAAAABQCYgvrbPtG7/WZz/5veT/77v3cfX/ZEC3fP09OvPckyVJIyOjeuD+JxXbf0grT16kU05fXpK5k2EP3lecpMsvXaa9e49qxow6LVk8c8rzPzQU18ORwzp6LC73qllasqixRKUtvh0PZE7Am5Juf9DUObUxgEBm5sSe4/uOjE0DkKmONK50q2HJScn/36Mf6HZ9XakJ+z8ppHb9q+qVuc5cMWe+ltc3aM/I8IRlr5nv0ry66Seh158sffs6afCI1OCU5s888dBB3JRGRsd6xF/gdsrjdiocnVhH3ultsM118vnBYfX9IqYnnhnS3DlObXjpfL3MM7fcxSqIaZoyzbHh+wEAKBaS86gKhmGk/T8ajea1fiAQKGJpAAAAAACVivjSOruffEFf8P9gwvtHDh/XR3zf1Ld/8i969ulBfeCfvq7Io3uSyy/fcI4+/Km3aNbs2ug5DamxoU4nr8otmffw44f1sc8/oX2xseSpwyFd++olese1xX+oIx43dc8fD+jxJ45o5gynLnzJAp180qyi7iPbnOKSdPBo9mHNs7l3cETf3T2k/UOmVs926ro1jVo9pzJ7NZ98ySUT3js8LP35eem8penvO2bO0uqPfyU53/zTeli362sT1n9S9+tOfUuv0PUZ9zm3rk5fW9Wi63dH0hL0l8yeq57lJ0/j26RzOqRFKb3nDw9JX/i9dHtEGhqVTpov/eNFDv3bxkbd+vNh7fjTqIZHpea50js2NKjtJfZo5n9qz5Bu7nlaBw6dGJHgd+HDeutrmvW21y8sY8nyMzh4TJ//0p9178DzGh6J64zTXPqnG87TKS0Lyl00oCI54045LZwX3sptA1awx19tYJp27txZ8LqBQEBut7uIpQEAAAAAVCriS+vcvzOi0dHMvYKfjD6n5/bE9P4bvqInounD3P9mxwP6j499Tx/a8pZSFBMVZH9sWP/6H1EdPHwiEWia0rbbnlfTgnpd88olRdvX0HBcH/9cRHeFDyTf+8p3ntGN71ytV758UebyvRhXdM+oGuodOmNVnWY2Tv2wwKqFDj13IHMS/uRF+T1s8N3dQ/rIg0eT/cTv2i/d9uyQetfP0XmuymsWXnvZ5Xrpu27Q3V/+Utr7T40u0BXv/XeNDuzQSOwFzVh9ipa+/WbNOu3c5Gce0e+zbvcv+n3W5LwknTdrtu5oOUu/Pvyi9o+MyN04Q5fMmac6i3qqj8SlzT+X/rz3xHvPvCj92y+lj17l0Htf16h/eo2pY8PS7EbZpse8JH32G8+lJeYTvnXboC46f45OWzOzDKXKz6HDw7qp+3d65tnDyfcefDimG9//W33xM5dpzer5ZSwdAKAaVN5dGJBBNBqVx+NRMBjMuSHE5/MpGo2qs7PT4tIBAAAAACoF8aV1TE3e6/f+gV0TEvMJP/9xWDdtfoPmzS9uL2VUth2/j6Ul5lN9/xf7ipqc/0bfs2mJeUkaHTX12f9+Qqesma1T1qRP+N33m+P66i+OKf7X51Hmz3boA2+ZLc8p6c2xQyOmZEqNDWMJ1r+/wqn7nxzrFZ1qyXzpda259wzceyyujz90dMJv3eFR6QN/OqrbLpsrp42Surl67ec+p+Xnn68/fefbOnbgRS056yy94oMf1KJTT5Wuf0/W9YZ1fJJlR6fc79y6Or1mflNBZc7Xb59IT8wnmJICd0uXrpHqnA7NsdlgIkPDcT0UyT70w/2PHK2I5PwPf7wrLTGfcOzYqL76jb/oox+6sAylAiqbI+60dF54Bz3nUWFIzqMqDAwMaPPmzTk3nIRCIfX19WlgYMDikgEAAAAAKgnxpXXOvcAth8MhM8O80SedvEhDx0eyrmuapvbvO0hyHmn2x4YmWTZxjvDp+NXv9md8Px6X7rx7MC05/6v7hvTfP0tPUr54xNRHvnFYX3zPXK1cXKfd++L6zA+O68GnxrL3p61w6qY3NOq05XXa8hbpcz8b1e6/7vIlqx1676vrNH927sn0+2IjGsnyPMzuI3HtOWrqpDy2ZxcOh0Pr3/lOrX/nO/Nab4nWTLJs7TRLVVy7BrMve/rA2DD3jTadmSDD5X1Ko6Omgj9+Rr+9a5+OHY+rZc0cvf3Nq7V8aXkS+dFdLxa0DACAXJGcR1VI9GzIhWEY6ujo0I4dO+RyuawtGAAAAACgohBfWmeNe6m6bnq1bv3MbWnvz5jZoA996u80PJS5B7Qk1dU7tXgpQwkj3ZKFjVmXLV2cfVkhjhzNXj8PHUlf9oPfZ35o4Piw9IudQ3rdJTP0vq8c1YGUzrmPPhvXzV85pi90zdK5Jzv1311OHTluqs4pzWjIP4kenyJJmnmCiep1rjboT+rXc4qmvV+vRr1cb5ckxU1T/zf8Z/1o+BEdMI9pjdOlrsZWeepXTNjeA0eO6QvPDip6bFjN9XXqWDRfb1o4ryhDzM+ZpOrOrJcabNpBtLHBqdPXztAjuzKPUnD2KROT7aZp6hOf+YvuvPvEwy9PPn1E994X0+c+cZ5WnTR7wjpWmz07e8pksmW1aHQ0rt/86i969OE9mjmrQS+74nSdctrSchcLNuSIOy3t3U7PeVQa/pqgKng8npx7NXR0dGjz5s05N7YAAAAAAGoH8aW1/r7rKq1eu1Q//u4fFBs8pJPXLNF1m7xqOW2FRkfjOuclq/XAH5+csF77316qOXPsPxwySst7abOCP31eg8bEUReufXXuQ9ofOx7XD29/UY8/dVwzGh265CVzdMlL5qR9Zs3KWXrosYlDXSeWpdr/YvbU974Dpvp+N5yWmE84clz69m+G9f5rxsYrnz2j8ETvea56OZU5Cb9khkPLZ1Zer/npaNAMvVkf0w59RY/pbo1oSMvUog36By1TiyRpy/E79b3hh5Pr7Bs9ovuO7tFnZ12tS+pXJd+/++BRXffoMzqe0k38rkNHFTk2JN/KRdMu66VrpK/cO9ZDfrxXtEh2no3gprct1ft6ntaRo+k175o2l85qmTjyyW/v2Z+WmE84eHhEt3w1Kv+HzrGsrNlccdkK/fQXT2VdhjHHjw3rAzd9R/fedeKBl6/e+mvd5Ltab7x2fRlLBgD2R3IeVcHv9+f0ud7eXg0ODqq7u9viEgEAAAAAKhHxpfVeftX5evlV5094v67OKf8XrtdHfP+ne37/qCTJ6XTomjdfonf/86tLXUxUgAXz6rWlu0Ufv+UJ7X52rLduQ71Db29frlde0ZzTNl48PKru/9yjXc+c6O3e/4dDam9boE3tC5PvvfMtK9X9iUc1OpreJX3tqllqu3xh2ntLXE7tfzFzT/slTU79ZU/25P2TzxenT/uq2U7ddPpM/dcj6cPrNzikj587W/VOG2d4LTJTc/Vq3Zhx2Z9Hn0tLzCeMytQnjv1Gt8352+S0HO9/4rm0xHzCl/bG9OqmuTpnmg8SrZgvffBK6RO/Sk/Qn7dc+n8X57+9Xc/F9YeHR3RsWHIvc+qys+pUV2fN+XevnKFb/nWVvv2TQT357JDmza7TK146T96L52X8/MOPHMy6rYcfzb7MSus8S/SOt52hr37jL2nvX37pcr25/ZSylMmOer/4q7TEvDQ2RcFnPvUznXn2STrjbB5kAIBsSM6jZkSjUfl8Pu3atavcRQEAAAAAVDDiS+s0Nc/VZ7d2as8zgxrcf1ArVi5UU/PcchcLNrZ21Sz1bjlDTz1zTEePxbVqxQzNm5N7k2dvcH9aYj6hr/+ALjhzltadPTas9rlnzNMnfKfo0197QYNDM+Woq9OcGdLrXzdfM2ekTwDecfkMffR/j0zY5pyZ0tUXNuqZX47bn8MhOSSZpuYWcYCI69fO0KpZTvU9PaT9x+NaNdupd7pn6uwFNp2wvIweGn0h67K95iHFzGNqdszS/pFRPXl8OOtnOx55Wh89eYk6Fk1vGo7L10qndki/fUI6PCStbR7rUV+X58jNP905rC/cNqR4yjMfP1vr1EfeOlMzG61J0J+0pFE3X78sp89O9pBAXRmr6fJlszVzZp2OHRt7OmLevAa9/jVrVJfvCSiDY8eG9eKBY2peOEf19daV91e/eDDj+/G4qV/veIjkPNI4Rx1yjlr3UJiV2wasYP+/Jpigo6NDPp+vqNvs6+tTW1ubWlpa1NTUpKamJrW2tqqnp0eGYRR1X+XS1tYmv9/PPIAAAAAA8FfEl4UhvrTe8pOadfZ5q0nMIyd1TofWrpqls06dk1di/uixuO7+88QkesLOB9OXPbq3XjFzvhwNjZKzToeH6/T57x7Wj+5M/9wlZzfoxmtmaUbDifcWL3Do49fP0bImp648769ldDikmQ3SrEZpZqM0a4bUWK/RqSaMz4N3WYNuXTdHwZfN039dMIfEfBaNmvy4NDjGmtHrphhT/kjc1M1PPKfv7X9x2mVaPl/qOE96+zrpCnf+ifnIntEJiXlJ+uOuuL7SP/GBFEkyDsX1g98c0dYfHdQPfnNExqHijOSQjec8V9Zlrec1WbrvbAbue0Gf/HQ4mZiXpIMHh/XBD9+j3U8fKkuZcnHk8JA+/uGf6pUv/7zaXxvQa9pu0Xe+da/MDKM8FMPhw8cnLQsAIDuS8xXEMAy1traqr69P0Wh06hVyEA6H1dTUpE2bNqmjo0MDAwOKxWKKxWLy+/3atm2bmpqa1NPTU5T9lUui/J2dnWUuCQAAAACUH/Fl4Ygvgcpnmqb+90cvqOOfHtWLBzMPPy9JIymL9h8Y1Td+nnnO+f/+8SEdGjfH9tXrG/V//zJfn3nXHN3ynrn62vvn6cyTx5Lyl5xZrzdf3iDNaJCc6c2z9z3l0JYfWZsQzUX02JD6BmN6174/6U37/qC/3X+3th6KasQsf9ms8NL6lWrI0lR+Qd0yzXPMkCS56pw6e/aMKbf3n89MnEe91H770OiExHzCbx4YmfBe9JlhvevTg7r1B4f03V8f1a0/OKR3fXpQ0WeyjxQwXRec69K1rztpwvsrls3Uu9/htmy/k9n+3ceVKZ997PiofnibPUfMicdN/avvh/rlzx5S/K8P9xw5PKQvfe4OfedbOy3ZZ8upS7Muc5+6xJJ9onI5TYeccad1PyY951FZSM5XgHA4rK6uLjU1NSkcDhdtuz09PWptbZXb7VYsFlNnZ2faU/9er1cDAwPq7u6Wz+dTR0dH0fZdSoZhaMuWLerq6ip3UQAAAACgrIgvp4f4Eiid48dHtT82lEw0FdN3frJf3/zBPg2PmNIkyeYz1p5IwkafHcma6BwakZ7aOzHJP2emQ2eeXK9TVtSpftzw3auX10tZ5n3/zV9M/frh7A8NWGnENLX5qb264uHH9d7D9+q24d26Z3hQdw7t00cPPqzOWFijFvXEtcLQi3/Qi098QAce79TBpz6qkaOPZfzcCuc8fXDm5apT+jlZ6pijf5/5iuT/HQ6HPrN2qZqmGC786aERHctWYUrkyPHs5+nouI7NI6OmPvb1A4odTC9z7GBcH/v6ixoZte6cb7purT588xnacNliXbK+Wdd1rNKXPvUSNbkaLdvnZJ57/mjWZXufyz7SRjn9MbxbO+95MuOyr//37zU8XPzrybvf25Zx2PzTzlimq19zftH3BwDVhDnnbcYwDPX29ioSiSgajWrnzp0yDENut1ter1ehUKgo+wmFQvL5fHK73dqxY8ekn/X7/YpGo+rr61NXV5cCgUBRylAqW7ZskWEYam9vL3dRAAAAAKBkiC+Lj/gSsN7BQyP6bO/juvOufTJNad7cer3jb1frNW3Li7L9kRFT3/nJvhNvjI5KDufYEPMp1p09S6+48MS0Co0Nk/fKa2yYdPEEL0wy6rlD0i07TF1+hinnFMOoF9vn9+zX/+47IC3YL9VP7DHdf/w5BY8+rTfPXlXSchXi6L4+HXn2MyfeOPKghg7crvlr/1MNcz0TPv/ahtPV4mzWz4Yfk2Ee0xqnS9c0nKkm56y0z50+a4Z+etbJ+uddz+kPBzMncuc4HZpR4nM3nntZ9gcI1i5NXxZ5ekR79md+mGDP/lFFnh7R6avzrOQZ7I8Nacdv9+uF/cNavLBR3ssWqtnVoEtfukiXvnTRtLdfDIsWzsw6fP2ihTPz2pZpmnrkkRe055kXtXDRHJ19zlJL5q3f/eRg1mVHjwxr3wuHtHzFgqLu85zzV+lzW/9en+v5uSKP7lVjY70uv/JM3eh7pWbMnH5dQXVxxh1yxi2cc97CbQNWIDlvM9FoVD6fTy6XS+vWrVNnZ6fa2trk9XrV29tblMYTwzCSvRSCwWBOc+Rt3bpVfX196u3tVUdHh7xe77TLUSq9vb1yu91yu8szFBIAAAAAlAPxZfERXwLWGh019aFPPaQHHzmRuT54aESf643IIYde3bZs2vuIvTiiY2k9ik1pZEiqq5ccDi101euVl87XW17VpLqUnu2nn9wg11yHjEMTexAvbXZqzfL8mlkXz8++zJT04hEpdlhaODf754rNNE19/QVj7D+N2XsP3z203/bJ+dGhvTry7OcnLjCHdGj3x+U6Y7scjonn7Ky6xTqrbvGU21/R2KDPrl0m74NP6uDoxKR2+6L5cpQ5Of+K8+r1k3tH9Mgz6eWrc0r/cFV6r/TJetlL0tGh6fecfyRyWB/0P6YXD50YUj9421598gOn6tS1c6a9/WJ5w2vX6r779014v6HeqddcvSbn7Rw8eFwf+bd+7bz36eR7p522SB/f8kotWVrcX+z5C2ZNvnx+bg8VhH7+J33zK3dozzODWrhont70lov1pjdflLUun3/Byfrqtzs1OhqX0+koe50HgEpBct5mPB6PTIuHhvL5fDIMQx6PRx7PxKdEM3G5XOru7lZPT486OjoUi8WyfjYcDmvbtm3FKm6aRENSrvr6+mQYhq699lpLygMAAAAAdkV8OTniS8B+7g4PpiXmU339O0/qVd6l007+zJ9bJ6dTE4eoHx1LGHa2L9HLL5yYOZ/Z6NC/vG2B/v0rB9ISmfNmO/TBv18wYdj6qVx8qkOu2ZKRaZRshySHQ6XufDpsSrHR8gynX2wjRx6QlPm7xIefU3xor+pmrJzWPpY11uvL7mW6IbpXL6Yk6L0L5uhfVpa/F3hjvUOffNtM3fqzIf3u4REdG5bcS536x6sbde6aurTPrl5WJ6dDyjSLhNMhnby0buKCPAyPxPWxz0XSEvOSdODgiD762Yi+9p/nZBwivRwuvWS53vOuc/XlrQ9oZGTsgMyZXa8P3OzRKS259z7/1CdvT0vMS9Kjj+7Tv27+ub689Zqi9qC/8KI1WrhojvbvOzxh2cuvPE1z5s7IsFa6H/bdo56P/iD5/8OHjuszW36sF55/Ue+68W8mXdeK0QBQXRyjTjlHrasnDgu3DViB5HyNSQxrKEkbN27Ma92NGzeqp6dHhmEoFAplbcQIBALJfRSbYRh5NZ4khkhsaWmxpDwAAAAAUKuIL4Ha8oe79uiue/ZoeDiu009r0qteuVYNDcVtDN/9bPbe2saLwzp4aETz500vYz2j0amrXrZAP7/zwIRli5rqdeG52XvwnndKo750c7P67z2qF4y4ljbV6aqXztRiV/6Jy1mNDn3oGqdu/lZcieeoTOmviXnpgtXSnBml7YXa6HRoWUO99g6PSEOzMg5rL0kvbVxY0nLZ2WUL5uj2c1brjgNH9OJoXKfPatRF82aVfDqCbObOcujma2bofWajTFNyOjOXq3l+nd7sna3/65/4tMhb2maref70kvOPRY/o+X1DGZc998KQIk8e1ekt9uo9f/mly/XY4wdUV+fQGac3ae6c3K89zz93SL+784mMyx59dJ8eevA5nXtecabqkKQ5c2doy3+8UZtv/n5agv68l6zU+z941ZTrHzlyXF/49E8zLvvfr9yh171pvU5a2Vy08gJArSM5X2O2b9+efJ1rr4ZMn/f7/ZM2nthl3sDEMI35flcAAAAAwOSIL4Ha8aXA/er73uPJ///8l08q9Kvd6tlyqWbNLF7z4vy52bdVV+fQ7FnTSxAmvOtvl8k4OKq7/nhiXumlCxv04fesnHIfyxbW6bpXFmdI6nNWOvWha6RP/iiu4UQnb4dDK5uk919dnl6A717WrA/tfl56ceHY0PbjEvRtM5bq2lnT63FeCvWzz5VUp0y9550NS+VsLF5idFFDvd60aJJ5CmzA4XBoqucFrnvlHM2f49T37jiiF4y4FrucuuaK2Xr9ZZMPmZ6LY8czz2efcPTY1CM2PL/vuL72nd16fNdhNTY6dVFrk978hhVqsKjHfXPTTL10fX5zzCfs3z+xB3va8n2ZhsyYnjPOWqZvbn+H7vpdVAeMo1p1cpNaL1ydU6/2p5/cr6NHMz88IUmP/eVZkvOYFseoQ45R6x5asnLbgBVIzteY1EaNQubIc7lcyZ4NhmHkNJ9gufT19SVfMx8gAAAAABQX8SVgnV3R/frxDx/QvhcOaemy+Xr9G8/VylWuspTl93c9m5aYT3jwof362v88qBu6zi/avi5et1Dz5j6hg+OGvpakDZctLtqw1zNnOPXv71mpR6LHtHvvcS2YV6/zz5itGY2lT4i/7FSnet/h0K//YurFo9JJTZL3bIdmN5Yn0fD3i1w6PBrXZ/bs1/F9K6W5Mc2ZOaSzZs7Uq2Yv0/Wz19imV/hk6hqXas5J79XhZ/4jfYFjhuau+jc5HMV50KOaOBwOveHy2XrD5bNlmmZR5w9fs2pW5ukkNPbgzeqVkz8AsPf5Y3rPvz4o48CJh0UejR7Ww48d0sd8p6suy4gA5bJs+Xw5HFK22YWWr7DmYY65c2fI+zdn5r3ejCnm0Jg5s7HQIgEAMiA5X2PC4XDydSENCm63O7mNnTt35jUEYKlZNS8hAAAAAID4ErDKXX94Qh/6wE80NHSiJ+mPf/iAev7r9Trv/BUlL8/dd+/Nuuyuu/cWNTnvWtCgD998pj7yHw+nJegvOHeB3v2O4j4Y43A4dEbLLJ3RMv1ewdN1UpNDb73YHslFh8Ohdy9bqOsWu7Tr2LDm1zm1ZkZDURO1hTj0/PMK/fu/6+l77lFdY4NO/Zu/0cs/sFn1M7LPpT1z4RvlbDxJxwd/pPjwftXNWKmZi9+i+pk8ZDWVYp/vZleD/u6aFfpG37MTlr3tTSvUtGDy5PCt33gyLTGfcO8fDf3qzn1qu2Jx0cpaDE1Ns/Tq15yp23788IRl69av1GmnLypDqbJbtXqh1rgX64noCxOWLXDN1rkXrC5DqVBNnKZDzrh1f0ecpj3+hgK5IjlfQ1IbTgrtkZDaeNLf32/rxpPU79vczLA7AAAAAFAsxJeANY4cHtLHP/yLtMS8JB09MqyPfuhn+vZ3366GhtL2+B0azj4c9WTLCnX+2Qv0tc+16p77Yjp4aFgnr5ytC85xqa6OhvdSml9Xp/Pn2KN3+aHnntOXX3aJjCefTL739L336ok779T1P/u56hqyJ3Yb512oxnkXlqKYVeWxp4b0y7sOK3YwrpMW1+u1l8/VItf06sNb37hcrvn1+u5Pn9Pz+4e0dFGj3vSqZXrVlVMnqh9+7FDWZQ89dtB2yXlJ+qf3XipJ+sltDyd70F962Rr5/uUVZX/YZTyn06mPffoturHzqxrcf+JYz5r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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 1179, "width": 1011 } }, "output_type": "display_data" } ], "source": [ "# Compare analytical and naif\n", "fig, axs = plt.subplots(3,2, figsize=(10,12))\n", "fig.suptitle('Isochrone potential', fontsize=36)\n", "\n", "fig.subplots_adjust(top=0.9, bottom=0.07, right=1.05, left=0.1, hspace=0.32, wspace=0.4)\n", "fig.patch.set_facecolor('white')\n", "cmap = plt.cm.turbo\n", "\n", "vmin = 0\n", "vmax = 30\n", "\n", "cNorm = mpl.colors.Normalize(vmin=vmin, vmax=vmax)\n", "scalarMap_rapo = mpl.cm.ScalarMappable(norm=cNorm, cmap=cmap)\n", "scalarMap_rapo._A = []\n", "\n", "#-------------------------\n", "axs[0,0].set_title('Real')\n", "axs[0,1].set_title('Complex')\n", "\n", "axs[0,0].scatter(an_Om_r, delta_om_r_real, \n", " c=rapo, s=3, vmin=vmin, vmax=vmax, cmap=cmap)\n", "axs[0,1].scatter(an_Om_r, delta_om_r_cmplx,\n", " c=rapo, s=3, vmin=vmin, vmax=vmax, cmap=cmap)\n", "#-------------------------\n", "axs[1,0].scatter(an_Om_phi, delta_om_phi_real, \n", " c=rapo, s=3, vmin=vmin, vmax=vmax, cmap=cmap)\n", "axs[1,1].scatter(an_Om_phi, delta_om_phi_cmplx, \n", " c=rapo, s=3, vmin=vmin, vmax=vmax, cmap=cmap)\n", "#-------------------------\n", "axs[2,0].scatter(an_Om_phi, delta_fund_om_phi_real, \n", " c=rapo, s=3, vmin=vmin, vmax=vmax, cmap=cmap)\n", "axs[2,1].scatter(an_Om_phi, delta_fund_om_phi_cmplx, \n", " c=rapo, s=3, vmin=vmin, vmax=vmax, cmap=cmap)\n", "\n", "for i in range(3):\n", " cb = fig.colorbar(scalarMap_rapo, ax=axs[i], pad=0.02, aspect=20)\n", " cb.set_label(r'$r_\\mathrm{apo}/a$', fontsize=28)\n", " cb.ax.tick_params(labelsize=20)\n", "\n", "for i in range(2):\n", " axs[0,i].set_xlabel(r'analytic $\\Omega_r$')\n", " axs[0,i].set_ylabel(r'$|\\delta \\Omega_r/\\Omega_r|$')\n", " axs[1,i].set_xlabel(r'analytic $\\Omega_\\varphi$')\n", " axs[1,i].set_ylabel(r'$|\\delta \\Omega_\\varphi/\\Omega_\\varphi|$')\n", " axs[2,i].set_xlabel(r'analytic $\\Omega_\\varphi$')\n", " axs[2,i].set_ylabel(r'$|\\delta \\Omega_\\varphi/\\Omega_\\varphi|$')\n", " axs[0,i].set_xticks(np.arange(0, 1.1, 0.25))\n", " axs[1,i].set_xticks(np.arange(-0.5, 0.51, 0.25))\n", " axs[2,i].set_xticks(np.arange(-0.5, 0.51, 0.25))\n", " for j in range(3):\n", " axs[j,i].set_ylim(1e-9, 10)\n", " axs[j,i].set_yscale('log')\n", " axs[j,i].set_yticks([1e-9, 1e-7, 1e-5, 1e-3, 1e-1, 1e+1])" ] }, { "cell_type": "markdown", "id": "675aaffd", "metadata": {}, "source": [ "We see that for $\\Omega_r$ the complex time-series doesn't seem to offer advantages. For $\\Omega_\\varphi$, we still need to require $|\\Omega_\\varphi| > |\\Omega_r|/2$, but the sign of $\\Omega_\\varphi$ is automatically extracted if we use the complex time-series, and the precision is a little bit better in this case." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.8" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 5 }