{ "cells": [ { "cell_type": "code", "execution_count": 353, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "%matplotlib inline\n", "\n", "plt.rcParams['figure.dpi'] = 120" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The Model\n", "\n", "'Assimilation and Fractional Crystallisation Model' describing the trace element and isotope evolution of igneous rocks (DePaolo, 1981).\n", "\n", "$$ \n", "\\begin{align}\n", "\\epsilon_m &= \\frac{\\frac{r}{r - 1}\\frac{C_a}{z} (1 - F ^{-z}) \\epsilon_a + C_m^0\\ F^{-z}\\ \\epsilon_m^0}{\\frac{r}{r - 1}\\frac{C_a}{z} (1 - F ^{-z}) + C_m^0\\ F^{-z}} \\\\\n", "z &= \\frac{r + D - 1}{r - 1}\n", "\\end{align}\n", "$$\n", "\n", "All parameters are measured/known (with a degree of uncertainty), except $r$ and $F$. See the paper for the meaning of the parameters.\n", "\n", "For our purposes, we have a relatively complex model, and want to work out how uncertainties in input parameters propagate through to uncertainty in calculated values." ] }, { "cell_type": "code", "execution_count": 354, "metadata": {}, "outputs": [], "source": [ "# first, define the model as a function\n", "def eps_calc(r, Ca, D, F, eps_a, Cm0, eps_m0):\n", " \n", " z = (r + D - 1) / (r - 1)\n", " \n", " A = (r / (r - 1)) * (Ca / z) * (1 - F**-z)\n", " \n", " return ((A * eps_a + Cm0 * F**-z * eps_m0) /\n", " (A + Cm0 * F**-z))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model Form\n", "First, we'll take a look at the general form of the model across the entire feasible range of $F$ and $r$ values (0-1)" ] }, { "cell_type": "code", "execution_count": 355, "metadata": {}, "outputs": [], "source": [ "# define possible ranges of F and R (0-1)\n", "F = np.linspace(0.001, 0.999, 100)\n", "r = np.linspace(0, 0.999, 100)\n", "\n", "# create a 2D grid.\n", "gF, gr = np.meshgrid(F, r)\n", "\n", "# Define nominal parameters for Sr and Nd systems\n", "Sr_params = {'Ca': 191,\n", " 'D': 2,\n", " 'eps_a': 0.72407,\n", " 'Cm0': 570,\n", " 'eps_m0': 0.7039}\n", "Nd_params = {'Ca': 57,\n", " 'D': 0.01,\n", " 'eps_a': -10,\n", " 'Cm0': 30,\n", " 'eps_m0': 5.2}\n", "\n", "# define observed Sr and Nd isotopic compositions\n", "obs_Sr = 0.71458\n", "obs_Nd = -3.19\n", "\n", "# calculate epsilon_m across all F and r values\n", "eps_Sr = eps_calc(r=gr, F=gF, **Sr_params)\n", "eps_Nd = eps_calc(r=gr, F=gF, **Nd_params)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Python note: \n", "The `**` syntax used here expands a dictionary into named arguments of a function. i.e. instead of seeing the `Sr_params` dictionary, it sees the *contents* of `Sr_params` as individual arguments. \n", "\n", "This is a useful shortand for keeping parameter sets in one place, and minimising the opportunities for typos. If I need to change one of the input parameters for Sr, I can change this in the `Sr_params` dictionary, and this update is propagated through the entire code.\n", "\n", "### The Functional Form:\n", "\n", "Let's see how the observed isotopic compositions ($\\epsilon_m$) vary with $r$ and $F$:" ] }, { "cell_type": "code", "execution_count": 356, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,1,'$\\\\epsilon_m$ from Nd')" ] }, "execution_count": 356, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot epsilon as a function of r and F, with the measured epsilon value contours.\n", "fig, (srax, ndax) = plt.subplots(1, 2, figsize=(8, 3), sharey=True)\n", "\n", "csr = srax.pcolormesh(gF, gr, eps_Sr, cmap=plt.cm.Blues)\n", "srax.contour(gF, gr, eps_Sr, [obs_Sr], colors='k')\n", "fig.colorbar(csr, ax=srax, label='$\\epsilon_m$')\n", "\n", "srax.set_ylabel('r')\n", "srax.set_xlabel('F')\n", "srax.set_title('$\\epsilon_m$ from Sr', loc='left')\n", "\n", "cnd = ndax.pcolormesh(gF, gr, eps_Nd, cmap=plt.cm.Reds)\n", "ndax.contour(gF, gr, eps_Nd, [obs_Nd], colors='k')\n", "fig.colorbar(cnd, ax=ndax, label='$\\epsilon_m$')\n", "\n", "ndax.set_xlabel('F')\n", "ndax.set_title('$\\epsilon_m$ from Nd', loc='left')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The contours here show the *observed* isotopic composition of the samples.\n", "\n", "In a single isotope system, the observed value can be explained by a range of possible $r$ and $F$ pairs, along the contour lines.\n", "\n", "Considering two isotope systems constrains the possible solution to a single pair of $r$ and $F$ values (the intersection of the contours):" ] }, { "cell_type": "code", "execution_count": 357, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'r')" ] }, "execution_count": 357, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "\n", "ax.contour(gF, gr, eps_Sr, [0.71458], colors='k')\n", "ax.contour(gF, gr, eps_Nd, [-3.19], colors='k')\n", "\n", "ax.set_xlabel('F')\n", "ax.set_ylabel('r')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visually, it's really easy to see where the intercept is, but how do we do this programatically?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1. Numerically\n", "Calculate $\\epsilon_m$ for the entire parameter space, work out the contours, and then find their intercept.\n", "\n", "Pros:\n", "- Simple (don't have to think much).\n", "- Applicable to very complex systems that evade algebraic solutions.\n", "\n", "Cons:\n", "- Computationally expensive - have to calculate the entire parameter space every time. Quickly becomes unmanageable in multi-dimensional cases.\n", "\n", "Let's do it!" ] }, { "cell_type": "code", "execution_count": 358, "metadata": {}, "outputs": [], "source": [ "# a few packages to help working out the intersections of contours\n", "import matplotlib._cntr as cntr\n", "from shapely import geometry\n", "from scipy import stats\n", "from tqdm import tqdm" ] }, { "cell_type": "code", "execution_count": 359, "metadata": {}, "outputs": [], "source": [ "def get_contour_verts(x, y, z, c):\n", " \"\"\"\n", " Calculate vertices ([x, y] coordinates) of contour across a matrix.\n", " \"\"\"\n", " contour = cntr.Cntr(x, y, z)\n", " return contour.trace(c)[0]\n", "\n", "def get_intersect(v1, v2):\n", " \"\"\"\n", " Calculate the intersection of two sets of vertices.\n", " \"\"\"\n", " p1 = geometry.LineString(v1)\n", " p2 = geometry.LineString(v2)\n", " intersect = p1.intersection(p2)\n", " return intersect.x, intersect.y\n", "\n", "def calc_rF(gr, gF, Sr_params, Nd_params, obs_Sr, obs_Nd):\n", " \"\"\"\n", " Calculate the intersect of the Sr and Nd contours.\n", " \"\"\"\n", " # calculate eps based on Sr and Nd\n", " eps_Sr = eps_calc(r=gr, F=gF, **Sr_params)\n", " eps_Nd = eps_calc(r=gr, F=gF, **Nd_params)\n", "\n", " # get vertices of contour\n", " v_Sr = get_contour_verts(gF, gr, eps_Sr, obs_Sr)\n", " v_Nd = get_contour_verts(gF, gr, eps_Nd, obs_Nd)\n", "\n", " return get_intersect(v_Sr, v_Nd), (v_Sr, v_Nd)" ] }, { "cell_type": "code", "execution_count": 360, "metadata": {}, "outputs": [], "source": [ "# F and r space to consider\n", "F = np.linspace(0.001, 0.999, 100)\n", "r = np.linspace(0, 0.999, 100)\n", "gF, gr = np.meshgrid(F, r)\n", "\n", "eps_Sr = 0.71458\n", "eps_Nd = -3.19\n", "\n", "(F, r), verts = calc_rF(gr, gF, Sr_params, Nd_params, obs_Sr, obs_Nd)" ] }, { "cell_type": "code", "execution_count": 361, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'r')" ] }, "execution_count": 361, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(verts[0][:,0], verts[0][:,1], label='Sr')\n", "plt.plot(verts[1][:,0], verts[1][:,1], label='Nd')\n", "plt.scatter(F, r, zorder=3, marker='o', s=100, facecolor=(0,0,0,0), edgecolor=(0,0,0,1), lw=2)\n", "\n", "plt.legend()\n", "\n", "plt.xlabel('F')\n", "plt.ylabel('r')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It works! But this isn't very elegant, and will be relatively slow later one... So:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2. Optimisation\n", "\n", "Use an optimisation algorithm to calculate the intersection of the two contours.\n", "\n", "Pros:\n", "- Simple\n", "- Computationally Fast\n", "\n", "Cons:\n", "- System has to be algebraically manageable, i.e.\n", "- Can't apply to very complex sytems.\n", "\n", "To do this, we first need to re-arrange our equation to solve for one of the unknowns ($r$ or $F$). $F$ is simpler, so:\n", "\n", "$$\n", "F = \\left[\\frac{\\frac{r}{r - 1}\\frac{C_a}{z} (\\epsilon_a - \\epsilon_m) + C_m^0 (\\epsilon_m - \\epsilon_m^0)}{\\frac{r}{r - 1}\\frac{C_a}{z} (\\epsilon_a - \\epsilon_m)}\\right]^{\\frac{1}{z}}\n", "$$" ] }, { "cell_type": "code", "execution_count": 362, "metadata": {}, "outputs": [], "source": [ "def F_calc(eps_m, Ca, D, r, eps_a, Cm0, eps_m0):\n", " \"\"\"\n", " Calculate F as a function of r and known inputs.\n", " \"\"\"\n", " \n", " z = (r + D - 1) / (r - 1)\n", " z[z==0] = np.nan\n", " \n", " R = (r / (r - 1)) * (Ca / z)\n", " \n", " top = (R * (eps_a - eps_m) + Cm0 * (eps_m - eps_m0))\n", " bot = (R * (eps_a - eps_m))\n", " \n", " frac = top / bot\n", " frac[frac < 0] = np.nan\n", " \n", " return (frac)**(1/z)" ] }, { "cell_type": "code", "execution_count": 363, "metadata": {}, "outputs": [], "source": [ "r = np.linspace(0.01, 0.98, 100)\n", "F_Sr = F_calc(eps_Sr, r=r, **Sr_params)\n", "F_Nd = F_calc(eps_Nd, r=r, **Nd_params)" ] }, { "cell_type": "code", "execution_count": 364, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 364, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(F_Sr, r)\n", "plt.plot(F_Nd, r)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The point where the contours cross is the solution, or when one minus the other is zero:" ] }, { "cell_type": "code", "execution_count": 365, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 365, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(r, F_Sr - F_Nd)\n", "plt.axhline(0, ls='dashed', c='k')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use a zero finder to work out the R value where both F values are equal:" ] }, { "cell_type": "code", "execution_count": 366, "metadata": {}, "outputs": [], "source": [ "import scipy.optimize as opt" ] }, { "cell_type": "code", "execution_count": 367, "metadata": {}, "outputs": [], "source": [ "# Write a function to return the difference between the two contours\n", "def calc_r(r, Sr_params, Nd_params, eps_Sr, eps_Nd):\n", " F_Sr = F_calc(eps_Sr, r=r, **Sr_params)\n", " F_Nd = F_calc(eps_Nd, r=r, **Nd_params)\n", " return (F_Sr - F_Nd)**2" ] }, { "cell_type": "code", "execution_count": 368, "metadata": {}, "outputs": [], "source": [ "# optimise for R\n", "opt_r = opt.minimize(calc_r, 0.5, (Sr_params, Nd_params, eps_Sr, eps_Nd), bounds=[(0.001, 0.999)]).x\n", "\n", "# calculate corresponding F value\n", "opt_F = F_calc(eps_Sr, r=opt_r, **Sr_params)" ] }, { "cell_type": "code", "execution_count": 369, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 369, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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WOQbxOIU3ERGRJs40TZZtPcjClSnkFJQB4ONl8PPRPfnd2D4E+7nh17ndBl++COufAHuF1dZtGFz5GrTrXf/ri9sovImIiDRhOw4X8NhHiXyTketsG94zgoVXJNC3Y4h7bnJ0F3z0K9j/jfXe8IZLHoLR94K3okJTo/9FREREmqDCskpeWruTN7/IoNIxR9o+2JdHJvfnyiFd3TNFarfDd3+3Nt2tKLba2sXAla9Dt6H1v740CIU3ERGRJsQ0TVZuP8TCFSlk5ZcC4GXALSN78IfxfQkNcNP2HMcPwNJfw+7PXW0j7oaxc1UpoYmrc3gzDCMYWAhcA0QAqcBTpmm+cw7nXgo8AgwCAoHdwBvAX03TtNW1TyIiIs1ZenYhc5cl8mX6UWfbeVFhLLgigfguoe65iWnCj/+Gjx+BsnyrLbQ7zPgr9BrjnntIg6rPyNsSYBjwELADuAH4r2EYXqZpvn26kwzDGAd8DGwE7gKKgOnAi0Bv4J569ElERKTZKSqr5OV16fz9i91U2Kwp0oggXx6a1I+rz+uGl5ebVnkez4Tl90D6p662wTfBxCfA303hUBpcncKbYRiTgfHADaZp/tfRvN4wjGjgWcMw3j3DCNptQAUw1TTNIkfbZ4ZhxDo+U3gTEZFWwTRNVm3PYuHKZA4dt6ZIDQNuGhHN/ZfHEhropilS04Sf/mOVtypzlM8K7mTt2xY70T33kEZT15G3K4FC4L2T2hcDbwMjgM2nObcCKAdKTmrPA0rr2B8REZFmJT27kMeXJfFF+hFn2+DuYSyYkcCAbm4cBcvbDyv+UH20bdD11t5tAeHuu480mrqGtwQgxTTNypPat1X5/HTh7VXgeuAlwzCeAIqBaViB8OE69kdERKRZqGmKNDywDQ9N6sfPhnZ33xSp3Q7fvwmfzoXyQqstuBNMewFiJ7nnHuIRdQ1v7bAWGZwst8rnNTJN8xvDMC7DGrX7taPZBjxsmubzZ7uxYRiRQIeTmrV7oIiINGmmabI6MYsFK6pPkd4wPIoHJsQSFujrvpsd3WUVk9/7patt0A3Ws20abWv26rNgwazLZ4ZhDAU+BL4Bfom1YOEyYKFhGP6maS44y31nAXNr2VcRERGPSc8uZN7yJDbtdE2RDuoexoIZ8QzsFua+G9kq4eu/WlUSKh1PIoV2h6kvQJ9x7ruPeFRdw9tRah5dO1GtNreGz074K3AYuLLKoob1hmHYgccNw/iPaZo1jeqd8AqnPmvXG1h69m6LiIg0nqKySl5aZ22026BTpAAHf4Rlv4Osba62YXfBuLng56ZKDNIk1DW8bQeuNwzD56Tn3gY4XhPPcO5g4L81rEb9FvAC+lPzlCwApmlmA9lV29yyy7SIiIib1LTRboNNkZYXWSNtX78Cpt1qaxcD01+G6FHuu480GXUNbx9i7dF2FfBulfZbgYNYU6KncxA43zAM75MC3EjH64E69klERMTj0rMLmLssqdpGuw2yihQg/TNrJWnePuu9lw+M/gNcdD+08XfvvaTJqFN4M01ztWEYnwJ/MwyjLZCOtYJ0InDTiVBmGMbfsQJdb9M09zpO/zPwErDcMIzXsFabjgXuAz4zTXNrfb6QiIiIJ9RUizQiyJeHJvbj6qFu3GgXoCAL1jwMSUtcbd2GW/u2dYxz332kSarPgoWZwCJgPq7yWNefVB7L2/Hj/BtrmubLhmFkAn/AKokVAOwB5mEFOxERkWbDNE2WbT3IopUpZBeUAVYt0psuiOa+8W7caBfAboPv3oS1812lrXxDrOfazr8DvLzcdy9psuoc3kzTLMSqhnDaigimad6GVTXh5PYlWOW1REREmq3UrHzmLE1iS4Zrnd7Q6HDmTY8noaubp0gPbbWmSDO/d7X1nw4Tn4LQru69lzRp9Rl5ExERaZWOl1Tw50938K+v92JzTJG2D/bj4Un9mHleV/cupCvNh8+fhG9edS1ICI2CKc9B3wnuu480GwpvIiIi58huN/nghwM8vSaVI4XlAHh7Gdw6sge/H9+Htv5unCI1Tdj+PnzyKBQettq8fGDkb2DMH8E3yH33kmZF4U1EROQcbD9wnDnLEvlxX56zbUTPCObNiKdfp7buvVl2Kqy6H/ZscrVFjYQpz0PHePfeS5odhTcREZEzOFZUznOfpPH2ln2YjvpBHdv68eiUOKYN7OzeKdKyAtjwjLVnm92xjWpQBxi/AAZdZ20WJ62ewpuIiEgNbHaTd77dx7Mfp5FXXAFAG2+Dn4/uyW8v60Ownxt/hZombH8PPnkMCrOsNsMLht0Jlz4KAW4soSXNnsKbiIjISb7fe4y5yxJJzMx3tl3Upz1zp8UTExns3psd2gar/wj7vnK1dRsGk5+DLoPdey9pERTeREREHHIKynhqdSof/OAq9tM1LIDHpsYxIb6je6dIi3Nh/SJr37YTq0iDImH8PBh4nfZsk9NSeBMRkVavwmbnn5v38OJnOykos5418/Xx4ldjenP3mN4E+Hq772a2SiuwrV8EpY7FD14+MOJuaxWpv5v3h5MWR+FNRERatc3pR5i7LImd2YXOtvFxHXlsShxR7QLde7P0tfDxI5CT6mrrdQlMegY6xLr3XtJiKbyJiEirlJlXwhMrU1i5/ZCzrWf7IOZMi+PS2Ej33uxIurVf2441rrbwHnD5Iug3RatIpVYU3kREpFUprbDxxqbd/HX9LkoqbAAE+nrz28v68PPRPfDzceMUaXEubHwWtrzu2vrDNwQuvh8u+BX4+LnvXtJqKLyJiEirYJomn6Vks2BFMvtyi53t0wZ14ZHJ/egcGuC+m1WWw7f/Z+3ZduK5NgwYchNc9hiEdHTfvaTVUXgTEZEWb3dOIfOWJ7NhR46zrV+nEOZOi2dk73buu5FpQspy+Gwu5O52tfe4CC5fqK0/xC0U3kREpMUqLKvk5XU7efOLDCpsVnmEtv4+3Du+LzddEI2Ptxu34zjwnbXJ7r7NrrZ2MVZ1hNhJeq5N3EbhTUREWhzTNFn600GeWJVCdkEZYGWna8/vzgMTYmkX7MZnzY7ugrXzIfkjV1tAOFzyMJz/c/B2Y7F6ERTeRESkhUnMPM7jy5L4bu8xZ9vg7mHMnxHPwG5uLDNVmAMbn7H2bDuxGMHbF4b/wlqQEBDuvnuJVKHwJiIiLcKJAvL/3bIPu6OAfPtgPx6a1I+ZQ7ri5eWmacvyIvjqFfjyBSh37Q3HwGutOqTh0e65j8hpKLyJiEizZrObvP3NXp77ZAfHS6wC8j5eBreN6sHvxvWhrb+bpi0ry+GHf1orSIuyXe09x8D4+VqMII1G4U1ERJqtb3Yf5fHlyaQcchWQHx3TnsenxxETGeKem9jtkPg+rFsIeXtd7R0HwPjHofdYLUaQRqXwJiIizc6h4yU8sSqV5VsPOtu6hQcwe4obC8ibJuz8xFqMcDjR1R4WDZfNhoSrwMuNG/qKnCOFNxERaTZKK2z8/YsM/rIu3Vkdwb+NF7MuieEXF/fCv42bwlTGJmukbf/XrragSKtw/Hm3go+ve+4jUgcKbyIi0uSdrjrClAGdeXhyP7qFu6mA/P5vYf1C2P25q82vLVx4j1XOyjfIPfcRqQeFNxERadJ25RQy/6TqCLEdQ5g7PY5Rvdu75yaHtsH6RdULx/sEwIhfwIW/h8AI99xHxA0U3kREpEkqKK3g5XXpvPlFBpV2V3WE+y6P5cYRUe6pjpCdAp8/VX2DXW9fa3Pd0feqBqk0SQpvIiLSpNjtJh/8cICn16RxpNBVHeH64VHcN76ve6ojZKfChqch6UPAsSmcl49VOP7iByC0W/3vIdJAFN5ERKTJ+HHfMR5fnszW/XnOtvOjw3l8ejwJXUPrf4PsVKsqQuISnKHN8IIB18AlD0JEr/rfQ6SBKbyJiIjHZReU8syaNN7//oCzrWNbPx6Z3J/pg7rUf+uPnDRrc93ED6ge2n4GF/8R2sfU7/oijUjhTUREPKa80s7iLzN4eV06hWVWfVBfby/uvKgnv740hiC/ev6aykqEjc9C8lKqhbaEq61tP9r3qd/1RTxA4U1ERDxifaq19cfuI0XOtnH9O/LY1P5Et6vnlhwHf4SNz0HqiiqNBgy42hpp69C3ftcX8SCFNxERaVQZR4pYsCKZdamu+qC9OwQxZ1o8Y/p2qN/F92+xpkfTP3W1Gd7W9OhF9ym0SYug8CYiIo2isKySl9ft5M0vMqiwWVOYIX4+3DOuD7eO6kGbum79YZqQsQE2/cl6PcHLBwZdDxfdq4UI0qIovImISIOy202W/JjJ02tSySlwbf1xzdDu3D8hlg4hddz6w26HtFXwxZ8g83tXu7evteXH6D9AWJQbvoFI06LwJiIiDean/XnMXZZUbeuP86LCeHx6PAO7hdXtorZKa9XoF3+CnFRXe5tAq+7oqN9CaNd69lyk6VJ4ExERt8vOL+WZj6tv/REZ4sfDk/txxeCuddv6o7wYfvoPbH4J8va52v1DYfgvYcTdENTODb0XadoU3kRExG3KKm0s/nIPL6/dSVG5DXDD1h/FubDl/2DLa1B81NUeFAmjfgNDbwf/tm76BiJNn8KbiIjUm2marHNs/bHnaLGzvV5bfxzbC1/9FX78F1S4rklYNFx4Dwy+Edr4u6H3Is2LwpuIiNTLrpxC5i9PZsOOHGdbTGQwc6bGcXFdtv44tBW+fMmqO2raXO2dB1mhrf8M8NavL2m99LdfRETqJL+0gpc+28k/Nu+h0u7Y+sPfhz+M68vNI6Nrt/WH3W7tzbb5ZdizqfpnvS+zQlvPMdYyVZFWTuFNRERqxWY3ee+7/Tz7cRpHi8oBK1NdNyyK+y/vS7vgWmz9UVEC2961pkeP7HC1G94Qf6UV2joPdPM3EGneFN5EROScfbsnl3nLk0jMzHe2De8RwZxpcSR0DT33CxXmwLdvWD/FR1ztviFw3i0w4pcQHu3Gnou0HApvIiJyVgfzSnhqdSrLth50tnUJ9efhyf2ZOrDzuW/9cTgJvv4bbPsf2Mpc7W27wQV3W8HNvxYhUKQVUngTEZHTKq2w8dqG3fxtQzqlFXYA/Hy8uHtMb+4e05sAX++zX8Rugx1rrNB28vNsXYbAyN9A3AzwbtMA30Ck5VF4ExGRU5imyartWTyxKoXMvBJn+5SBnXl4Uj+6hQee/SKl+fDjv6392Y7tcbUbXhA7GS6YBdGjtAhBpJYU3kREpJrkg/nMW57ENxm5zrb+ndvy+LQ4RvQ6hwoGR3Zam+r+9B8oL3S1+7W1pkWH3wXhPdzfcZFWQuFNREQAOFpYxvOf7uCdLftw7PxBRJAv918ey7XDuuPtdYYRMrsNdn4CW16HXeuqfxbR2ypdNfh68AtpuC8g0koovImItHIVNjtvfbWXFz7bQUFpJQA+XgY3j4zm92P7Ehp4hmfRinOtCgjfvlG93ihAr0utqdGYceBViz3fROSMFN5ERFqxDTtymL88iV05Rc62i/t2YM7U/sREnmGU7NBWa2p0+3tQWepq9w2BITfCsDuhfZ8G7LlI66XwJiLSCu3OKWTRyhTWpmY723q0C+SxqXFc1i+y5q0/KkogcQl893fI/L76Z+1jrWfZBl2nqVGRBqbwJiLSiuSXVvCXdeks/jKDCpv1YFuwnw+/GxvDbaN64utTw/TmkZ3w3WJrAUJpnqv9xKrR4b+Anhdr1ahII1F4ExFpBWx2k/e/t0paHSl0lbS6Zmh37p8QS4eQk0pa2SogdaU1ypaxsfpnwR2tVaPn3Qph3RvpG4jICQpvIiItXE0lrc6PDmfutHgGdDupmkFuBvzwljXKVni4+mc9LoJhd0C/qdpQV8SDFN5ERFqoTEdJq+VVSlp1dpS0mla1pFVlOaSthO//CbvXV7+IfygMvhGG3g4d+jZi70XkdBTeRERamJJyG69u2MVrG3dVK2n1yzG9uXtMLwJ9Hf/0H90FP/wTfvxP9eLwAN2Gw9BbIX4m+J5DNQURaTQKbyIiLYRpmizfdoinVqVw8Lhr+46pAzvz8OT+dA0LsFaMbltiTY2eXGfUPxQGXW89y9YxrpF7LyLnSuFNRKQJKC4uZs2aNezdu5fCwkKCg4OJjo5m4sSJBAaefeRr+4HjzFuexHd7jzmE+ej2AAAgAElEQVTb4ru0Ze60eIb3CIdDP8EX/4Lt70PZ8eonR42CobdB3HRoE+DmbyYi7lbn8GYYRjCwELgGiABSgadM03znHM+fAdwLDAG8gT3Ai6Zpvl7XPomINDc7duzg1VdfZfHixeTl5Z3yeVhYGLfffjt33303ffue+sxZdkEpz32cxnvfH8B0lLRqF+TL/RNiuSYuCO/E/8Gaf8HhxOonBkRYo2xDb4UOsQ3x1USkgdRn5G0JMAx4CNgB3AD81zAML9M03z7TiYZhPAQsAl4FngQqgH6Abz36IyLSbJimyZw5c1i0aBHmidRVg7y8PP785z/zwgsvMHv2bObNm4dhGJRV2vjHl3t4eV06hWVWSas23gY/HxXF73pmEpQ0Bz5eCbZy18UML+g9Fs67GfpOAh/9kyvSHNUpvBmGMRkYD9xgmuZ/Hc3rDcOIBp41DONd0zRtpzl3KFZwe9g0zWeqfLS2Ln0REWluTNPkzjvv5M033zzls4iICNq1a8fRo0fJzc2tds6CBQs4cOAA1967iCdWp7L3aLHz85t7l3Bfxx8IS10C3x6qftHwHjDkJhh0A4R2baivJSKNpK4jb1cChcB7J7UvBt4GRgCbT3Pub4Ay4OU63ltEpFmbO3duteDm7e3Nddddx6xZsxg5ciSGYWCaJl999RWvvPIK77zzDjab9d/DixcvZklaCWEX3UQohdwR9gO3BX1F28ytkFnlJj4BEDfDCm3RF6owvEgLUtfwlgCkmKZZeVL7tiqfny68XQykAFcZhvEYEAMcAv4NzDFNs/w05wFgGEYk0OGk5t616LuIiMfs2LGDhQsXOt+3b9+elStXMnz48GrHGYbBqFGjGDVqFLfd9StmTJ9Gcb61GOH45nf583n7uaV9Kt6lFVClLjzdL4DB10P8ldbqURFpceoa3toBu2toz63y+el0xQpfLwGPAcnAWKxn57oDN57l3rOAubXprIhIU/Hqq686n3Hz9vauMbidUGmz859v9vGn9YUMueLnbP7XnxznmiR+9y3eE/ytA0O7WwXhB10P7fTfsiItXX0WLJz+Cdszf+YFhADXV1mZut4wjCDg94ZhzDVNM/0M57/CqdO1vYGlZ+uwiIgnFRcXs3jxYuf766677rTBbeOOHF5ftp5Bxz7lA+8viOl5kBsTvHl7uzXhsXhrBQvuuYnAEbdC9GhNi4q0InUNb0epeXQtwvGaW8NnVc/tBHx8Uvtq4PfAecBpw5tpmtlAdtU2Z4kXEZEmbM2aNdW2A5k1a9Ypx+w9kMmGD18nNmcN//ZKhSolRH91vp8zvB0rMVnjO4WZPS9u8H6LSNNS1/C2HbjeMAyfk557G+B4TazhnBO2YYW3k51IYPY69klEpEnbu3ev888RERGMHDnSelNRQnHSKvZv+Cc9c7/kFqPSmqNwsEfG4zXoOi5MuIrwjwZw7Jj17Nu+ffsas/si0kTUNbx9CNwFXAW8W6X9VuAg8M0Zzv0AuByYhLUy9YTJWMHt2zr2SUSkSSssLHT+uV27CIz0tdi3v4cteTmBlUXEgvM/Y4/7tMdn8LUEnX8DXp0SOPFRu3btnOGtoKCgcb+AiDQJdQpvpmmuNgzjU+BvhmG0xZrmvB6YCNx0Yo83wzD+jhXoepumeeI/ORcDvwReMQyjPdaChXHAr4FXqhwnItKiBAcFOf98NHM35r9n4mUYzkG2fDOA7wMuJPrSn9Nr2ETw8q52vmmaHD161Pk+JCSkMbotIk1MfRYszMTabHc+rvJY159UHsvb8eN8KM00zQrDMMYDTwCPOM7NwFpt+qd69EdEpOkxTcjaBokfEL39H87m3GI7Xx2wMbRbAGvtQ9jkdwmjJ9/A5CE9Tvsc7+bNm52jbgBRUVEN3XsRaYLqHN5M0ywE7nH8nO6Y24DbamjPBe52/IiItCymCdnJkLgEkj6E3F0ATOxiEuYPeY592e74pgeBXeZzy5iBzLm4FwG+3me4KLzyyivOP4eHhzNx4sQG+woi0nTVZ+RNRESqyk61wlrSEjiy45SPd/j2J3ZgOd9s+QmAtJQ0lr/YgSlj+5z10lu2bOGdd1wTG7fffjuBgYHu67uINBsKbyIi9XFkpyOwfWiNtp2kqP0g3i0Zxt+PDiCTDlQMyoRv7wbTxLTbuO26q864US9YwW3KlCnY7dZifMMwuPtuTVyItFYKbyIitWGakJMKycsgeSlkJ516TOdB5PeexgsH43kz2bVneYcQPx782WS2dnzUWSLryJEjjBo1imuvvZZZs2YxatQoZ23TzZs3O2ubnghuALNnz6ZPn7OP1olIy6TwJiJyNqYJWdutsJayrMYpUToOgPgrKIudwWuJ8LfPd1FSYRWT9/Xx4s7RPZl1aQzBfj5cdd58Dh486CxOb7PZePvtt3n77bcJDw+nXbt2HD16tNrihBPuuOMO5s2b16BfV0SaNoU3EZGamCYc/MEKbMnL4FjGqcd0HABx0yH+Ssx2MazYdoinFqeSmVfiPGRifCcemdyfqHau59MMw+CNN96ga9euLFy40FnrFODYsWM1hjbDMJg9ezbz5s1TVRmRVk7hTUTkBLsN9n0FqSshZTkc33/qMV3OswJb/+nOIvCJmceZ/9rXbNnjqgzYr1MIc6fFM7J3TZUErTA2f/58br75Zl599VXefPPNaqWzTggPD+f222/n7rvv1lSpiABgVP0vvubKMIx4IDExMZH4+HhPd0dEmpOKUti9HlJXQNpqKD566jHdR0DcDOg/DcJce6vlFJTx3Mdp/O/7/Zz4pzQiyJf7L4/l2mHd8fY69xGy4uJi1qxZw759+ygoKCAkJISoqCgmTpyoVaUiLUxSUhIJCQkACaZp1vDg7Jlp5E1EWp+SPNj5KaQuh52fQUVR9c8NL4ga5QhsU6Ftl2ofl1XaWPzlHv6yLp3CMqu8s4+XwW2jevDbsX0IDWhDbQUGBjJz5sw6fyURaT0U3kSkdcg/aI2spa6AjE1gr6j+uY8/9L4M+k2BvpMg6NTpTtM0+TT5MItWpbD3aLGzfWy/SB6d0p9eHYIb+luIiCi8iUgLdWKFaNpqSFsFh3469Rj/UOg70QpsvceC3+nDV1pWAfNXJPFlumtaNSYymMemxjGmb4eG+AYiIjVSeBORlqOyDPZ84QhsqyH/wKnHBHeywlr/qdDjIvA+8xRnblE5f/50B//5Zi92x3NtoQFt+MO4Ptx4QTRtvL3OeL6IiLspvIlI81acaz2/lrYK0tdCecGpx3RMgNhJ1k/nIeB19sBVYbPz76/38udPd5Bfaj3X5u1lcOOIKP4wri/hQb7u/iYiIudE4U1EmpcTRd93fAw7P4H934Bpr36Mlw/0GA2xk61p0fDoWt3i87RsFq5MIT270Nk2OqY9j02NI7ZTiDu+hYhInSm8iUjTV14MezbBjjXWKFtN+6/5h0Kfy63RtZhx1vta2pVTyKKVKaxLzXa29WgXyKNT4hjXP1Kb44pIk6DwJiJNU94+1+haxkaoLD31mHYx1shan8shetRZn187neMlFby0dif/3LyHSseDbcF+Pvz2shhuu7AHfj7e9fkmIiJupfAmIk1DZTns/9oaWUv/zJoaPZm3L0RfCH0nWIHNUeGgrmx2k3e+3cfzn+wgt6gcAMOAa4Z25/4JsXQI8avX9UVEGoLCm4h4Tt4+R1hbCxkboLzw1GOCO0Gf8dYIW69LzridR218teso81ckk3Io39k2rEc4c6fFk9C19lOuIiKNReFNRBpPRSns/dIKa+mfwpEdNRxkQNehrtG1TgPPaXXoudqfW8wTq1JYnZjlbOsaFsBDk/oxdWBnPdcmIk2ewpuINBzThKO7YNc6K6xlbILKklOPC+pgLTKIGWdVOQiMcHtXisoqeeXzdP5vUwblldbq1IA23vzqkt784uJe+LfRc20i0jwovImIexXnWgsMdq2DXevh+L5TjzG8oftwiBkLMePdPrpWld1u8uGPmTy9JpXsgjJn+xWDu/DgpH50Dg1okPuKiDQUhTcRqR9bBRz41hHW1sHBH0/ddw0gpLMrrPW6BALCGrxrP+w7xrzlyWzdn+dsG9QtlDnT4hkaHd7g9xcRaQgKbyJSO6YJubtdYS1jU81VDXz8rZWhvS+zfiL7W0s5G0HW8VKeXpPKhz9mOtsiQ/x4cGI/rhzSFS8vPdcmIs2XwpuInF3BYWs16O4NsPvzmmuGAnQaYAW1XpdC1Eho49+o3SytsPF/G3fzyue7KKmwAeDr48VdF/Vk1iUxBPnpnzwRaf70L5mInKr0OOz50hXYclJqPi64o2tkrdclEBzZmL10Mk2T1YlZLFqZQmaea0HEpIROPDK5P90jAj3SLxGRhqDwJiJQWQb7t1ijahkbIPMHMG2nHtcmCHpcCD3HNPpU6OkkHTzOvOXJbMnIdbb16xTC3GnxjOzdzoM9ExFpGApvIq2RrcJaWLBnk/XM2r6va97Cw6sNdBsGvcZYga3rUPDxbfz+1uBoYRnPfbKDd77dh2lVtCIiyJf7Lu/LdcOi8NZzbSLSQim8ibQGtkrI2moFtT2OsFZTNQOwnlvrOcaaBo0a6baKBu5SXmnnra/28OLanRSUVgLg42Vw66ge/G5sH0ID6lbfVESkuVB4E2mJ7DbI2m4FtT1fwN7NUJZf87ERvaDHRVZY63kxBLVvzJ7Wyvq0bBasSGZ3TpGzbUzfDjw2NY6YyKYVMkVEGorCm0hLYLfB4UQrpGVsgr1fWIsOahIWDT0vsgJbj9EQ2q1x+1oHu3IKWbgimfVpOc62Xu2DeGxqHJf288wiCRERT1F4E2mObBVwaKtrVG3f11B2mrDWtpsrrPW8CMKiGrev9XC8pIKX1+7kH5v3UGm3HmwL8fPhnnF9uGVkD3x9GqYqg4hIU6bwJtIcVJRC5vdWUfe9X1orQyuKaz42pLMrqPW4CMJ7eHxFaG3Z7Cb/+24/z32cxtGicsD6Ctee3537J8TSPtjPwz0UEfEchTeRpqisEA5ssfZa27sZMr8DW3nNx4ZFQfRoiB5l/UT0anZhraotGbnMW55E0kHXM3rDe0QwZ1ocCV1DPdgzEZGmQeFNpCkoyLKmPvd9Dfu+shYb1LTPGkC7PtZea9EXWqtBw7o3bl8bSGZeCU+uSmHFtkPOti6h/jwypT9TBnTGaMaBVETEnRTeRBqbacKRHdXD2rGM0xxsQMcE16ha9CiPVTFoKCXlNl7buItXN+yitMIqaO/fxotfjYnhFxf3IsDX28M9FBFpWhTeRBpaZZm1uGDfV67AVpJb87FebaDreRB1AXS/wHoNjGjc/jYS0zRZse0QT65K4eDxUmf7tEFdeGhSP7qGBXiwdyIiTZfCm4i7FeZYz6vtd/wc/AEqS2s+1i8UokZYIS1qJHQZAm1afmhJzDzO/OXJbNnjCrHxXdoyd1o8w3u2zLAqIuIuCm8i9WG3QXYy7P8G9n9rvZ52ChQIjaoe1jr0B6/Ws93F6UpaPTAhlmvO766SViIi50DhTaQ2inPhwHeukbXM709fZsrwgo7x0H2EFdSiLmgWG+I2hAqbnbe+2ssLn+1QSSsRkXpSeBM5HbsNclKrhLVv4Uja6Y/3D4Puw62fbsOtIu5NrC6oJ2zckcP8FcmkZ7tCrkpaiYjUncKbyAkFWVZQy/zOej344+lH1cCa8uw+zBpZ6zYc2sW0qinQs9lzpIiFK5P5LCXb2dazfRCPTe3PpbGR2vpDRKSOFN6kdaoogYM/uYJa5vdwfP/pj/cNgW7nu0bWup4PAWGN199mpLCskr+uT+fvmzIot1lbfwT7+fDby2K4/cKeKmklIlJPCm/S8tntkLvLMf35rRXYDieBvbLm4w0viIyzpj27nQ/dhkH7vuCl/cbOxG43+einTJ5anUp2QZmz/eqh3fjjxFgiQ/w92DsRkZZD4U1aFtOE4wes7Tkyf7BeD249fdF2gOBOjpB2vjWi1mWInlWrpa3783h8eRI/7stztg3uHsbj0+MZ3F0jlCIi7qTwJs1b0RFXSDvxWpRz+uN9Aqxw1m2oFdS6nQ9tuzbrWqCelFNQxrMfp/Le9wecW390CPHjoYn9uHJIV7y09YeIiNspvEnzUXrcek7NGdR+PPNzaoY3RPa3wlrX86xp0Mg48Na2FPVVXmnnn5v38NLanRSUWdPPbbwN7hjdi99cFkOwn/5pERFpKPoXVpqm0nzI2maFtUNbraB2dOeZz4nobYW0LudZr50Ggm9g4/S3FdmwI4d5y5PYnVPkbBvbL5LZU+Po2T7Igz0TEWkdFN7E80qPOwKaI6gd+gmOpp/5nLZdXSNqXc6DLoMhILxx+ttK7T1axIIVKXyWctjZ1qt9EI9Ni+PS2EgP9kxEpHVReJPGVXLs1KCWu/vM5wR1gM6DHUFtiBXWQjo2Tn+F4nJr64//26itP0REmgKFN2k4hTmQtRWytjvC2k9wbM+ZzwnuaAW1LoNdryGdtaDAA0zTZPm2QzyxMoWs/FJnu7b+EBHxLIU3qT/TtIqxZ22HQ9usZ9WytkPBoTOfF9K5elDrPAjadm6cPssZJR/M5/FlSWzZk+tsG9QtlMenxzMkStPTIiKepPAmtVNZbtX3rBrSsrZDWf6Zz2vb9dSgpqnPJudYUTnPf5rG29/sw+7Y+qNdkC8PTuzH1UO7aesPEZEmQOFNTq8036pEkOUIaoe2WYXabeVnOMmA9n2g0wBrtWfngdZrUPtG67bUns1u8vaWfTz/SRp5xRUA+HgZ3DqqB/eM60Nbf22vIiLSVCi8iVU+Km8PZCXC4URHYNsOeXvPfJ63H3SMqx7SOsaDr7aLaE62ZOQyd1kSKYdco6ejY9ozd1ocfTqGeLBnIiJSE4W31qasAA4nw+HtjpCWCNnJUF545vP8Qx0hbZBrVK19X/DWX6HmKut4KU+uTmHpTwedbd3CA5g9JY4J8R0xtEhERKRJ0m/elsput0bODidWGVFLPPtqT4DwntApATo6fjoPhNDuWvHZQpRV2njziz28vG4nxeU2APx8vJh1SQy/HNML/zbeHu6hiIicSZ3Dm2EYwcBC4BogAkgFnjJN851aXmch8CiQZJpmQl3706oV51qjZ4eTITvJ8ZoC5QVnPs832Jrm7BhvhbROA6xyUn6aKmupPk/LZv7yZHYfcVVHmJTQiUen9KdbuKpRiIg0B/UZeVsCDAMeAnYANwD/NQzDyzTNt8/lAoZhDAbuBw6f7VgBKkogJ80R1JJcga0w6+znhvdwjaSdGFULiwYvbbDaGuw7Wsz8FcnVqiPERAYzb3o8F8ZoMYmISHNSp/BmGMZkYDxwg2ma/3U0rzcMIxp41jCMd03TtJ3lGj7AYuA1YBCg3yAn2G2Qm2GFs6pBLXc3mPYzn+vX1ho9i4xzhDTHaJp/28bpuzQpJeU2/vZ5Oq9u3E15pfV3J8TPh3vG9eHWUT1o463wLiLS3NR15O1KoBB476T2xcDbwAhg81mu8RDWdOujwIo69qN5M03IPwg5KdY0Z3aKFdRy0qCy5MznerWxFgx0jLOCWsd4K6Tp2TTBqo6wJjGLhStTyMxz/V1SdQQRkeavruEtAUgxTbPypPZtVT4/bXgzDCMOmA3MNE2zsDar2gzDiAQ6nNTc+5wv4AmmCYWHrXCWk+oKajlpUHb87OeHRUFkvCuoRcZZe6l5a+8tOVV6dgGPL0vmi/QjzraErm2ZNz2BodGqjiAi0tzVNby1A2qqJp5b5fMaGYbhBbwJLDFNc1Ud7j0LmFuH8xpH0RHHdGeqY0TN8Vpy7OznBkQ4RtDiHEEtHiL7aQGBnJPCskpeWruTN7/IoNJRHiEssA1/nNCPa4d1x1vVEUREWoT6LFgw6/jZvUAfYHod7/sKp07X9gaW1vF6dVOce9IomuPPxUfOfq5fqOO5tH7QocprcKSmPKXWTNNk6U8HeWJVCtkFZYD11+jGEVHcNz6W8CBfD/dQRETcqa7h7Sg1j65FOF5za/gMwzCigPlYz7uVG4YRVqUfXo73ZaZpnvaBL9M0s4Hsk65bu97X1/ED8Of4sx/nGwIdYh1BrT906Ge9hnRWSBO3SM3KZ87SJLZkuP4vd15UGPNnJJDQNdSDPRMRkYZS1/C2HbjeMAyfk557G+B4TTzNeb2AAOBFx8/Jjjnaf1/HfjWOtl2tPdJOVCVoE2iFtBOjaJFxVlAL7aaQJg0iv7SCP3+6g7e+2ovNMUXaPtiPhyf148ohXVVAXkSkBatrePsQuAu4Cni3SvutwEHgm9Oc9xNwaQ3tLwChwO3AgTr2qfEYBkx6BgIjHCs8o7RfmjQK0zRZ8kMmT65O5UihNUXq7WVwy8ho/jC+rwrIi4i0AnUKb6ZprjYM41Pgb4ZhtAXSgeuBicBNJ/Z4Mwzj71iBrrdpmntN08wDPj/5eoZh5AE+pmme8lmTNeRGT/dAWpnkg/nMWZrId3tdi1+G94xg/ox4+nXSPn4iIq1FfRYszAQWYT3DdqI81vUnlcfydvxoDkekjo6XnJgi3YNjhpTIED8endKf6YO6qIC8iEgrU+fwZppmIXCP4+d0x9wG3HYO17qkrv0QaansdpMlP2by1OoUjhSWA9YU6e2jenDPuD6EaIpURKRVqs/Im4g0kJqmSC/oFcH8GQn07ah9/0REWjOFN5EmJL+0gj99cuoU6eypcUwb2FlTpCIiovAm0hSYpslHP2WyaGX1VaS3j+rB78f3JdhP/1cVERGLfiOIeFhaVgGPLU2sttHuiJ4RLLhCU6QiInIqhTcRDyksq+TFz3bw5pd7qm20O3tKf2YM1ipSERGpmcKbSCMzTZNV27NYsCKZrPxSALwMuHVUD220KyIiZ6XwJtKIMo4UMWdpIpt2HnG2DY0OZ8GMBOK6aKNdERE5O4U3kUZQWmHjlfXpvLphN+U2OwARQb48NLEfVw/tplqkIiJyzhTeRBrY+rRs5i5NYl9uMWCVxr1+eBR/nBBLWKCvh3snIiLNjcKbSAM5mFfC/OXJrEnKcrbFd2nLwisSGBIV7sGeiYhIc6bwJuJmFTY7i7/M4IXPdlJcbgMgxM+H+yfEctMF0XhrilREROpB4U3Ejb7bk8ujHyaSdrjA2TZjcBcendyfyLb+HuyZiIi0FApvIm5wrKicp9ek8s63+51tvdoHseCKBC6Mae/BnomISEuj8CZSD6Zp8v73B3hydSq5ReUA+Pp48dtLY/jFmF74+Xh7uIciItLSKLyJ1NHOwwU8+lH1slZj+nZg/ox4otsFebBnIiLSkim8idRSaYWNl9ft5PWNu6mwWWWtOrb1Y87UeCYP6KSyViIi0qAU3kRq4fO0bOZU2bPNy4BbRvbgvsv7EqKyViIi0ggU3kTOQXZ+KfNXJLNi2yFn24CuoTxx5QAGdAv1YM9ERKS1UXgTOQO73eQ/W/bxzOpUCsoqAQj28+H+y/ty88ge2rNNREQancKbyGmkZuXz8JLt/Lgvz9k2KaETc6fF0ylUe7aJiIhnKLyJnKSk3MaLa3fyxqbdVNqtBQldwwKYPyOesf07erh3IiLS2im8iVSxcUcOj360nf25JQB4exncMbonvx/Xh0Bf/d9FREQ8T7+NRIAjhWUsWJHM0p8OOtsGdQvliZkDiO+iBQkiItJ0KLxJq2aaJu99d4BFq1I4XlIBQJCvNw9MiNWCBBERaZIU3qTVyjhSxMNLtvH1bleFhPFxHZk3PZ4uYQEe7JmIiMjpKbxJq1Nhs/P6xt28uHYn5ZV2wKqQMG96AhMTOnm4dyIiImem8Catyo/7jvHwku2kZhUAYBhw04hoHpgYS1tVSBARkWZA4U1ahaKySp77JI1/bN6Dae3+QZ/IYJ66agBDoyM82zkREZFaUHiTFu/ztGwe/TCRzDxr+w9fby9+fWkMd1/SCz8fbw/3TkREpHYU3qTFyi0qZ8GKZD78MdPZNqxHOE/OHEhMZLAHeyYiIlJ3Cm/S4pimybKtB5m3PJnconLAqkf64KR+3Dg8Ci9t/yEiIs2Ywpu0KIeOlzD7w0TWpmY728b1j2TBFQl0DtX2HyIi0vwpvEmLYLebvPPtfp5clUJBWSUA7YN9eXx6PFMGdMYwNNomIiItg8KbNHt7jxbx4AfVN9udeV5XHpsSR3iQrwd7JiIi4n4Kb9Js2ewmi7/M4LlP0iitsDbb7RLqz6KZA7g0NtLDvRMREWkYCm/SLKVnF/DA+9v4cV+es+2WkdH8cWI/gv3011pERFou/ZaTZsVZ2uqznZTbrNG2Hu0CefqqgYzo1c7DvRMREWl4Cm/SbKQcyueB97eSmJkPgJcBd4zuyb3jYwnw1Wa7IiLSOii8SZNXYbPzyvpd/GX9TipsVm2rmMhgnrl6IOdFhXu4dyIiIo1L4U2atOSD+dz/3laSD1mjbd5eBr+8uBf3jOuj0lYiItIqKbxJk1Rhs/PX9en8ZV06lXZrtC22YwjP/mwgA7uFebh3IiIinqPwJk1OalY+9/1vK0kHXaNtsy7pzW8ui9Fom4iItHoKb9JkVNrsvLZxNy98tsP5bFtsxxCe+9kgBnQL9XDvREREmgaFN2kS0rMLuO9/W9l64DhgrST91SW9+d1YPdsmIiJSlcKbeJTNbvLmFxk8+0ka5ZXWvm29OwTx/DWDGdxdz7aJiIicTOFNPGZ/bjH3vbeVLRlWTVLDgLsu6sW94/vi30ajbSIiIjVReJNGZ5om73y7n4UrkikqtwEQFRHI89cMYliPCA/3TkREpGlTeJNGlV1QykMfbGddaraz7aYLonh4Un+CVJNURETkrPTbUhrN6u2HeOTD7RwrrgCgU1t/nr56IGP6dvBwz0RERJoPhTdpcPmlFTy+LIklP2Q622YM7sL86QmEBrbxYM9ERESaH4U3aVBf7z7Kff/bSmZeCQChAW1YdGUCUwd28XDPREREmieFN2kQ5SmYOU4AABQqSURBVJV2nv80jdc37sa09tvl4r4dePbqgXRs6+/ZzomIiDRjCm/idjsPF3DPOz85i8n7t/Hi0cn9uemCaAzD8HDvREREmjeFN3Eb0zR566u9PLEqhTLHhrsJXdvywrVDiIkM9nDvREREWgaFN3GLI4VlPPDeVtan5QDWhru/GtP7/9u79zir6zqP468PjCAC4oIg5SIKpYCYiIqUaz7My0NazdJaAU28ltmaWVZu1nqptrJSU7M2L2BSqGxarqVlpuaWGSJXLyQqiaKiogbKyAzz3T9+B5qmAWbOOTO/c3k9H4/f48D3nO+Zzznfx5nznt/l++XTh+xKr4YeOVcnSVLtKPpbNSL6RcRlEbEiIhojYn5ETO5Av6MjYlZELI2ItRGxLCJ+HBHvLLYW5eveJSs5/LLfbQxuO27XhxtPm8jnDx9lcJMkqcxK2fN2C7AvcC7wZ2AqMCsieqSUfrKZfl8AXgC+BjwFDAO+CDwcERNTSo+UUJO6UWPTei6+cwnX/f7pjW1H7vl2vvrBsQzo4xQgkiR1haLCW0S8HzgUmJpSmlVovicihgPfioibUkrrN9H9yJTSytYNEfFbYBlwNnBqMTWpey1duZozZ83nscJFCX179eSio8Zy9PgdvShBkqQuVOyetw8Ba4DZbdqnAz8B9gP+0F7HtsGt0LYiIp4l2wunCpZS4uaHlnPBbY+ytinL53sO247LJ49j+KC+OVcnSVLtKza8jQUeSyk1t2lf2Or+dsNbeyJiBDAc+FkHHjsEaLue0siO/iwV76+NTXzxlkXcvvB54G8XJZx96K5s1dNz2yRJ6g7FhrdBZOertbWq1f0dEhENwLVke/Iu7UCXM4DzO/r8Ko95z7zKp26cx/JV2UoJQ/r35tJjx7H/O7bPuTJJkupLKRcspCLv2yiyk6OuBQ4AjkkpLe9At6v4x8O1I4Gfd+RnqnNSSlxz/9N8887HaW7JhvWg3Qbz7Y/syaB+vXOuTpKk+lNseHuF9veuDSzcrmrnvr9TCG7XAMcD01JKHQpfhXPm2l7w0JGu6qRX31jHObMXcPfj2du9Vc/gC4eP4uT9d6FHD99zSZLyUGx4WwRMiYiGNue97VG4Xby5zq2C20nAKSmlmUXWoS7y0LJVnDlrHs+/3gjAsIF9uHLKePYctl3OlUmSVN+KPcv8VqAfcEyb9mnACuDBTXUsBLeryYLbx1NK04usQV0gpcQP7nuSY3/4x43BbdLYodx+5gEGN0mSKkBRe95SSndExF3A9yNiW2ApMAU4HDh+wxxvEXEtWaAbmVL6S6H75cApwHXAooiY2Oqp30opzSvupahUr7/ZxGdnz+c3j2WHSXv17MGXj3BBeUmSKkkpFywcTbZKwkVk57o9DkxJKd3Y6jE9C1vrb/4jC7cnF7bW/gLsXEJNKtKC5a/xyZ88zLOvZleT7jRwG646bjxjdxyQc2WSJKm1osNbSmkNcFZh29RjTgRObNO2c7E/U+WXUmLmg8/wlf99lHXrWwA4bMwOfOsje7rElSRJFaiUPW+qcmvXree8Wxdxy7znAGjoEZw7aRSn/MsuHiaVJKlCGd7q1LKX3+D0mXN5/IXVAOywbW+uOm48ew8fuIWekiQpT4a3OnTXoy/ymZvns7oxm+Vl4oiBXDFlPIP7O+muJEmVzvBWR1paEpfd/QSX3/3ExraPHziCzx22Gw2uTSpJUlUwvNWJ19c28Zmb5m9cLaFf7wa+/ZF3cfjYt+VcmSRJ6gzDWx144sXVfOyGuTz98hsAjBjclx9+dG/eMaR/zpVJkqTOMrzVuF8/8gJn3zSfN9atB+CQ0TtwybF7su3WTgMiSVI1MrzVqJQSV/52Kd+5688b284+ZFfOfN87XFRekqQqZnirQW+ua+Zzsxfyi0XPA9C3V08uPXYch+0+NOfKJElSqQxvNWbFa2s59fqHePT5vwLZMldXn7APuw31/DZJkmqB4a2GzF/+Gqf96CFeWv0WAO8ZOYjvTR3PP/XtlXNlkiSpXAxvNeL2hSv47M0LeKs5W5/0hHcP58tHjGEr52+TJKmmGN6qXEqJK367lEsKFyb07BGcf+QYTnj3zvkWJkmSuoThrYqta27hP25ZxE8ffhaA/ls38L2p43nvroNzrkySJHUVw1uVen1tE6ffMJcHnnoFgGED+zD9xH2deFeSpBpneKtCy1e9yUkz5rB05RoAxg3bjmum7cP2/VxYXpKkWmd4qzKLn3udE6fP4eU12RWlk8YO5dJjx7H1Vj1zrkySJHUHw1sVuf+Jlzj9hrkbl7o67YBd+I9Jo10xQZKkOmJ4qxK3znuWz81eSHNLIgLOP2IMJ+6/S95lSZKkbmZ4qwJX/+4pvvbLxwDo1bMHlx47jn9919tyrkqSJOXB8FbBUkpc/KslfP/eJ4FsKpCrT9iHiSMG5VyZJEnKi+GtQq1vSXzpZ4uY9aflAAzu35sbTpnAqKHb5lyZJEnKk+GtAq1rbuHsm+bzi0XPA9ni8jNP2Y+dBm2Tc2WSJClvhrcK09i0nk/MnMs9S14CYNTQ/vzo5AkM2XbrnCuTJEmVwPBWQd5c18xpP3qI3y/NVk3Ya6ftmHHiBAZss1XOlUmSpEpheKsQqxubOGXGQ/xp2SoAJo4YyLXT9qVvb4dIkiT9jcmgAqxubOKE6/7EvGdeA+C9uw7mv4/fmz69XDVBkiT9PcNbztoGt0NG78D3jtuL3g0GN0mS9I8MbzlqG9wOG7MDV04dT6+GHjlXJkmSKpUpISdr3mpmmsFNkiR1kkkhB41N6zn1+jk8bHCTJEmdZFroZuuaWzh95lz++FR2Ven7Rg0xuEmSpA4zMXSj5vUtnHXjPO4tTMD7npGDuOo4g5skSeo4U0M3SSnxpZ8t5o7FLwAwfqftuPqEfdh6K68qlSRJHWd46yaX3PVnbpyTLTI/+m3bMv2kCU7AK0mSOs3w1g1m/P5prvjtUgCGDezD9Sfvy4A+LnklSZI6z/DWxe5c/DwX3v4oANv368UNJ+/HkP4uMi9JkopjeOtC85e/xqdvmk9K0LdXT2acNIGdt++bd1mSJKmKGd66yPJVb3Lq9XNobGqhR8CVx41n7I4D8i5LkiRVOcNbF1jd2MTJM+bw8pp1AFx41FgO2m1IzlVJkqRaYHgrs5aWxNk3zeeJlWsAOO2AXfjoxOE5VyVJkmqF4a3MLvvNn/nNYyuBbPWEcyeNzrkiSZJUSwxvZXTHoue5vDAlyIjBfbls8jh69oicq5IkSbXE8FYmT720hnNmLwCgf+8Grj5hH7bd2rncJElSeRneyqCxaT1n/Phh3li3HoDLJo9j5OB+OVclSZJqkeGtDC647REef2E1AKcfOJKDR++Qc0WSJKlWGd5KdNuCFRvXLJ2w80DOOWzXnCuSJEm1zPBWgudeW8t5ty4CYGDfXlw+ZS8aevqWSpKkrmPSKFJLS+KcmxewurEZgG8cvQdDB7hmqSRJ6lqGtyJd9/uneeCpVwCYvO8wDtt9aM4VSZKkemB4K8Izr7zJt3+9BIDhg7bhy0eMybkiSZJULwxvnZRS4ou3LqKxqQWAbx7zLvr2bsi5KkmSVC8Mb530P3Of5f+WvgzAlAk7MXHEoJwrkiRJ9cTw1gmvr23i63c8DsCQ/r05d9KonCuSJEn1xvDWCVfc/QSr3lgHwJePGMOAPi5/JUmSulfR4S0i+kXEZRGxIiIaI2J+REzuYN8hETEjIl6OiDcj4oGIOLjYWrrDky+tYcYflgHZZLxHvOtt+RYkSZLqUil73m4BpgEXApOAOcCsiJi6uU4R0Ru4GzgYOAs4CngRuDMiDiyhni711dsfpbklEQH/eeQYIiLvkiRJUh0q6jLJiHg/cCgwNaU0q9B8T0QMB74VETellNZvovspwFjgPSmlBwrPdw+wALgY2K+YmrrS2nV/eymT9x3G2B0H5FiNJEmqZ8XOcfEhYA0wu037dOAnZAHsD5vpu2RDcANIKTVHxEzgvyJix5TSc0XW1SX69OrJ9JMmcM/jK9njnw1ukiQpP8WGt7HAYyml5jbtC1vdv6nwNha4v532DX13BzYZ3iJiCDC4TfPIzVZbJgeNGtIdP0aSJGmTig1vg4Cn2mlf1er+zfVd1U57R/oCnAGcv4XHSJIk1aRSlgZIRd5Xat+r+MfDtSOBn2+hnyRJUtUrNry9Qvt7yAYWbtvbs1aOvqSUVgIrW7d55ackSaoXxU4VsggYHRFtw98ehdvFW+i7RzvtHekrSZJU14oNb7cC/YBj2rRPA1YAD26h76iI2DglSCEEHg88mFJaUWRNkiRJNa+ow6YppTsi4i7g+xGxLbAUmAIcDhy/YY63iLiWLNCNTCn9pdD9OuCTwOyIOJfsEOgZwG7AIaW8GEmSpFpXygULRwNfAy4iO1/tcWBKSunGVo/pWdg2npSWUnqrsBTWxcAVwDbAfGBSSum+EuqRJEmqeUWHt5TSGrLlrc7azGNOBE5sp/1Fsj1ykiRJ6oRS1jaVJElSNzO8SZIkVRHDmyRJUhUxvEmSJFWRUq42rSS9AJYuXZp3HZIkSZvVKq/0KqZ/pLSlpUQrX0R8ANc2lSRJ1eWolNJtne1UK+FtAHAgsBxY1wU/YsPC90cBT3bB86t4jk3lcmwql2NTuRybylau8ekFDAPuSym93tnONXHYtPDCO51cO6rVwvdPppQe6aqfo85zbCqXY1O5HJvK5dhUtjKPz7xiO3rBgiRJUhUxvEmSJFURw5skSVIVMbx1zEvAhYVbVRbHpnI5NpXLsalcjk1lq4jxqYmrTSVJkuqFe94kSZKqiOFNkiSpihjeJEmSqojhTZIkqYoY3iRJkqpIXYe3iOgXEZdFxIqIaIyI+RExuYN9h0TEjIh4OSLejIgHIuLgrq65XhQ7NhFxdETMioilEbE2IpZFxI8j4p3dUXc9KOVz0+Z5vhoRKSIWd0Wd9ajUsYmIoyLivoj4a0S8ERGPRMTHurLmelHi981BEXFXRKyMiDURsTAiPhURPbu67noQEf0j4uKI+HVEvFT4vXRBJ/p3ex6o6/AG3AJMI5uzZRIwB5gVEVM31ykiegN3AwcDZ5EtUPsicGdEHNilFdePosYG+AKwDfA14HDgS8BewMMRsXvXlVtXih2bjSJiHHAO2edG5VP02ETEuYX+i4F/Az4AXEW2gLZKV+z3zSHAb8jWIj8N+CBwL/Bd4JIurLeeDAI+BvQGftaZjrnlgZRSXW7A+4EETGnT/mvgOaDnZvqeUej77lZtDcAjwIN5v7Zq30ocmyHttL0dWAdck/drq/atlLFp9dgGsgWZv0v2JbQ479dVC1uJn5u9gfXA5/N+HbW4lTg2M4FGoG+b9l8Br+f92mphA4K/zXu7fWGsLuhg31zyQD3vefsQsAaY3aZ9OtmX/X5b6LskpfTAhoaUUjPZh2xCROxY5lrrTdFjk1Ja2U7bCuBZYFgZa6xXpXxuNjgXGAicV97S6l4pY/PvwFvAFV1TWt0rZWyayP74XNum/TWyUKcSpYIiu+eSB+o5vI0FHiu8ya0tbHX/5voubKd9Q5uH50pTytj8g4gYAQwn+0tIpSlpbCJiDNmh7E+klNZ0QX31rJSxeS/wGHBMRCyJiPUR8WxEfCMiPGxaulLG5gdkh64vj4i3R8R2EfFRstBwcflLVSflkgfqObwNAla1076q1f1d0VdbVrb3NyIagGvJ/uq9tPTS6l7RYxMRPYDrgFtSSr/sgtrqXSmfmx2BdwKXF7ZDgBlk5yVOL1+JdavosUkpPQi8jyysPQe8SjYm56WUvlPmOtV5ueSBhq540iqyud2kW9qFWkpfbVnJ729EBFlwOwA4JqW0vByFqeix+QxZQPhAectRK8WOTQ+gP9k5WTcW2u6JiL7ApyPi/JTS0nIVWaeKGpuI2Bu4FXgQ+DjwBlmY+2pEbJ1S+kpZq1Qxuj0P1HN4e4X2E/HAwm17SbocfbVlJb+/heB2DXA8MC2l9PPylVfXihqbiNgJuIjsfLd1EbFd4a4GoEfh/2+llNqe16OOK/V32lCyk+BbuwP4NDAeMLwVr5Sx+R7Z1YsfSimtL7TdExEtwAUR8eOU0lPlK1WdlEseqOfDpouA0YXDaq3tUbjd3NxTi1o9rrN9tWWljE3r4HYScGpKaWb5S6xbxY7NCKAP2RWmr7ba9gdGF/799bJXW19K+dy0d84OZFfhAbSUUphKGptxwNxWwW2DOWTf4aPLU6KKlEseqOfwdivQDzimTfs0YAXZLurN9R0VERuvECp8KI8nuzR4RZlrrTdFj00huF1NFtw+nlLyfJ3yKnZs5gMHtbMtAJYV/n1l+cutK6X8Tvtp4XZSm/b3kwW3OeUosI6VMjYrgH3amZD33YXbZ8tSoYqVTx7Ie36VPDeyOXZWkU18eBDwQ7Lj08e1esy1QDMwvFVbb7I0/Qwwlezk3lvILuk+MO/XVQtbCWNzReFx1wIT22x75f26amErdmw28Vz34jxvuY8NsBUwl2z6iU8Vfqd9o/C4K/J+XbWwlTA2ZxYe90uyCWAPLYxNE3BX3q+rVjayP1w+TPaHfwJuLvz/w8A2mxmfXPJA7m9YzoPVj+wwzvNkcxwtACa3ecyMwkDu3KZ9B+B6suPda4EHgEPyfk21shU7NmR7cdImtmV5v65a2Er53LTzXIa3ChkbsnN0fgC8QDav2BKyq0175P26amErcWyOBu4HXiK7cn4x2ZQ7fbur/lrftvDdsfMWxqfb88CGGYUlSZJUBer5nDdJkqSqY3iTJEmqIoY3SZKkKmJ4kyRJqiKGN0mSpCpieJMkSaoihjdJkqQqYniTJEmqIoY3SZKkKmJ4kyRJqiKGN0mSpCpieJMkSaoihjdJkqQq8v86fizAhYqlRQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(F_Sr, r)\n", "plt.plot(F_Nd, r)\n", "plt.scatter(opt_F, opt_r, zorder=3, marker='o', s=100, facecolor=(0,0,0,0), edgecolor=(0,0,0,1), lw=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It works!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3. Algebraically\n", "\n", "Because we have two constraints on the system, we can treat them like simultaneous equations.\n", "\n", "i.e. we could substitute the definition of $F$ for the Sr case into the overall equation for the Nd case, and then solve for $r$.\n", "\n", "Pros:\n", "- Elegant\n", "- Very computationally fast\n", "\n", "Cons:\n", "- Algebra.\n", "\n", "Don't have time to do this now. We'll go with the optimisation option." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem:\n", "All the methods above give us a *single* solution for $r$ and $F$. We know this isn't correct, because the model inputs have uncertainties associated with them.\n", "\n", "How do we work out how these uncertainties influence our result?\n", "\n", "### Algebraically?\n", "\n", "If your problem is suitable for an algebraic solution, could could propagate the uncertainties?\n", "\n", "But in practice, this is often prohibitively complex...\n", "\n", "### Monte-Carlo?\n", "\n", "This is a 'brute force' approach to computationally accounting for uncertainties. You do the calculation lots ($10^{lots}$) of times, varying each input parameter randomly within its uncertainty limits, and look at the *distribution* of the results. This gives you a nice way of getting a realistic estimate of uncertainties associated with your inputs.\n", "\n", "**Important Caveat:** Monte-Carlo is 'dumb' - the outputs are only valid if your *model* is valid.\n", "\n", "### Implementation\n", "\n", "In Monte-Carlo, your parameters are no longer single values, they are described by *probability functions*, which describe your parameter as a range of possibilities, rather than a single values.\n", "\n", "For reference, the most 'basic' function is a Gaussian or 'normal' distribution, which underpins most parametric statistics. As a demo, the `scipy.stats` package has a really nice way of handling these probability functions:" ] }, { "cell_type": "code", "execution_count": 370, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 370, "metadata": {}, "output_type": "execute_result" } ], "source": [ "norm = stats.norm(0, 0.2) # make a normal distribution centered on zero with a standard deviation of 0.2\n", "\n", "norm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This creates a 'continuous distribution object', rather than numbers. It has defining properties (mean, standard deviation), and is able to generate data based on those properties.\n", "\n", "For example, you can make a probability density function, which is the Gaussian distribution you're all familiar with:" ] }, { "cell_type": "code", "execution_count": 371, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 371, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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x+cQCAN79+Cg19U0BVyQi0UpBT0Tiymt+V+agfulxNdu2tQV+iK1taGa5v82biEhrCnoiEjcqahtYucMLPQsmDYqr2batXTQ+j7QU7yv8dXXfikg7FPREJG68+3EJDU3e3K4Fk+Oz2zYkMz2FC8flAfD6lmKam9uc0yYiCU5BT0TixuubvZatvmnJzB2bG3A1PS/UfVtSWce6/ccDrkZEopGCnojEhcamZpZu88bnXTw+n4zU5IAr6nnzJxW0/FndtyLSFgU9EYkLa/Yc43i1t/frFXHebRsyqF8G04fnAPD6Zq2nJyKfpKAnInEh1G2bZHDZxIIzXB0/Qt23245UsLe0OuBqRCTaKOiJSMxzzrUsHDxz1MCWxYQTQfikEy2eLCKtKeiJSMzbcbSSPX5r1oLJidOaB942b8P69wFOtmqKiIQo6IlIzHs1LOAsiNPdMNpjZi1jEt/bXUa5P05RRAQU9EQkDoRassbmZzI2PyvganpfKOg1NTve2q5JGSJykoKeiMS0oxV1fLTPW0MuXve2PZNZYwaSnZECwGvqvhWRMAp6IhLT3txajPM3hYj33TDak5qcxKUTvLGJb287Sn1jc8AViUi0UNATkZgWmmk6oG8qM0YOCLia4CzwF0+uqGvkvV1lAVcjItFCQU9EYlZ9YzMrikoAuGxCAclJFnBFwbn0rJN//29t0zg9EfEo6IlIzPpgzzGq6psAuGRCfsDVBCunbyrnjOgPwDsfHw24GhGJFgp6IhKz3t7uBRozuHBcXsDVBO+Ss7ywu/1IJQeP1wRcjYhEAwU9EYlZ7/hB7+xhOeRmpQdcTfAuPutkq+a7atUTERT0RCRGFVfUsvnQCeDUgJPIpg3LYUDfVOBka6eIJDYFPRGJSe9uL2n58yUKegAkJxkXjff+WSz7uITGJi2zIpLoFPREJCaFWqyyM1JaJiHIydbNE7WNrNt/POBqRCRoCnoiEnOaml3LGLQLx+WRkqyvspCLx5+clPJ2WKuniCQmfTuKSMzZeKCcY9UNgLptWyvol8GkIf0AjdMTEQU9EYlB74QFGE3E+KRQ+F2//zjHquoDrkZEgqSgJyIxJ9RSNb4gi6H9+wRcTfS5+Cyv+9Y5eLdI3bciiUxBT0RiSnlNAx/t8yYZqNu2bTNHDaRvWjJwauuniCSeiIOemWWb2U/M7FUzO2pmzsy+38F7F/vXt3UMbuP6m81srZnVmtlBM/u5mWVFWruIxK4VRSU0NTtA3bbtSUtJ4oLCXMALes65gCsSkaB0pUUvF/gKkA48G+FnfBGY2+ooDb/AzD4PPAG8D1wN/ABYDDwd4TNFJIaF9nHNSE1i1piBAVcTvUKtncUVdWw9XBFwNSISlJQu3LsHGOCcc2aWB3wpgs/Y6Jxb096bZpYMPAC86pz7sn/6TTOrAB43s6udc3+J4LkiEoOcc7y9zQt6s8fkkpGaHHBF0euSswqATYA3pjE0E1dEEkvELXrO153FtGEOMAR4uNX5p4BK4Loefr6IRJGi4koOltcCGp93JiNz+zI6ty9ASzgWkcQT9GSMF82syczKzOxpM5va6v3QX68PP+mcawC2hr0vIgkgfF24SyYo6J1JKAyv2VNGVV1jwNWISBCCCnqHgR/hdfdeBtwPnA+sMrPpYdfl+q9lbXxGWdj7bTKzAjObEn4AhV2uXkQCEQp6w/r3YWxeZsDVRL/QZJWGJsfKHaVnuFpE4lFXxuhFzDm3BFgSduodM3sJ2AD8EFjU+pb2PuoMj7oL+F5ERYpIVKltaOK9Xd7vfBeflY+ZBVxR9JtbmEtqstHQ5FhWVMKCyYOCLklEelnQXbctnHO7gWV44/JCQr+CttVyN5C2W/rCPYjXvRt+tA6RIhIDPtxzjLrGZgAuCtvPVdrXNy2FGSMHALBMCyeLJKSoCXo+A5rD/nqD/zrtlIvMUoCJwMbTfZhzrtg5tyn8AHZ0Z8Ei0juW7/CCihnMHXvaURsSZt44LxQXFVdy5ERtwNWISG+LmqBnZmOAecCqsNOrgUN46+aFuxHIQmvpiSSMZUVeA/+Uof0YkJkWcDWxIxT0AJarVU8k4XRpjJ6ZXQ1kAtn+qclmdqP/55edc9Vm9hBwO1DonNvj3/c68A7ebNoTeC129+CNubs/9PnOuSYzuwd41Mx+g7dw8njgJ8Br/lg/EYlz5TUNbNjvbXs2r1Ddtp0xfXgOWekpVNY1sryolOtnDA+6JBHpRV2djPFrYFTYX9/kHwBjgN1Asn+Ej5zeAHwO+DbQBygGlgL/7JzbHv4A59xjZtYE/D1ey14Z8Afgn7pYu4jEiFU7S/F3PTulhUrOLCU5iTljB/L6lmKWF5XgnNNEFpEE0qWg55wb3YFrFtOq69U5d3cnn/MEXmueiCSgUJdjWnIS54/WtmedNW9cHq9vKebwiVp2HK1iXIG2ChdJFFEzRk9EpD2hoDdjVH/6pGnbs84KbwVdsUPj9EQSiYKeiES1w+VeKxTAheq2jcj4gizys9MBWPaxgp5IIlHQE5GoFj5T9AIFvYiYWUtIXrmzlKbmnt6mXESihYKeiES1UNDLTk/h7GE5AVcTuy4o9NYerKhtZMOB8oCrEZHeoqAnIlHLOdeyo8PssbmkJOsrK1JaT08kMelbU0Si1o6jlRRX1AFw4TjthtEVQ/v3YWxeJqCgJ5JIFPREJGqFTxzQ+nldF/pnuGb3MWrqmwKuRkR6g4KeiESt0LZnBdnpWvutG4SCXn1TM2v2lAVcjYj0BgU9EYlKjU3NrN7pBb0Lx+VpN4duMHdsLkn+P8blfogWkfimoCciUWn9gXIq6hoBLavSXXL6pjLNn7mscXoiiUFBT0Si0oqi8PF5mojRXULdtxsPlnO8uj7gakSkpynoiUhUCi2rMjY/kyE5fQKuJn6Egp5zsHKHum9F4p2CnohEnZr6Jj7ccxyAeYXqtu1O540aQHqK99W/TN23InFPQU9Eos4He45R39QMqNu2u2WkJnPeqAGAtx2aiMQ3BT0RiTord3otTWYwe4yCXncLbYe282gVR07UBlyNiPQkBT0RiTor/LFjkwb3Y0BmWsDVxJ+5hSfDs8bpicQ3BT0RiSqVdY2s318OnGx5ku519vD+9E1LBhT0ROKdgp6IRJX3d5XR1OyAU1uepPukJidx/uiBAKzYqQkZIvFMQU9EosqKHV7wSE4yZo0ZGHA18SvUWrqvrIZ9ZdUBVyMiPUVBT0SiSmgm6LRhOWRnpAZcTfw6ZZyeZt+KxC0FPRGJGser69l08ASgbtueNmVoDtkZKYDG6YnEMwU9EYkaq3eV4bzheZqI0cOSk6xl6ZqVO0pxoX/wIhJXFPREJGqEWpZSk42ZozQ+r6eFwvThE7XsKqkKuBoR6QkKeiISNUJB79wRA+jjL/8hPUfj9ETin4KeiESFkso6th2pAGCOum17xYRB2Qz0F6ReoXF6InFJQU9EosKqsBYljc/rHUlJxpyxXhf5Ko3TE4lLCnoiEhVCLUrpKUmcO7J/wNUkjrmFeQCUVtWz/UhlwNWISHdT0BORqLDKD3ozRw8gPUXj83rL3LHh+95qlwyReKOgJyKBO1xey05/1ucFfguT9I7C/EwKstMBjdMTiUcRBz0zyzazn5jZq2Z21MycmX2/g/deb2ZPmFmRmdWY2W4ze9zMxrdx7Vv+Z7c+lkRau4hEl5Vh+63OGavxeb3JzFpm364O22dYROJDV1r0coGvAOnAs528916gL/Aj4CrgPuBc4EMzm9LG9TuBua2Ob0ZWtohEmxVFXktSZloyZw/PCbiaxBOa/FJe08CWQycCrkZEulNKF+7dAwxwzjkzywO+1Il7r3HOFYefMLOlwG7g7jY+q8Y5t6oLtYpIFAut4Xb+mIGkJmtESW+bO/Zkd/nKHaVMHaawLRIvIv5Gdb4I7y1u49xBYD8wItKaRCT27CurZv+xGkDLqgRlxMA+DOvfB4AVmpAhElei5ldnMxsLjAI2tfF2oZmVmVmjme0wsx+ZWZ8OfGaBmU0JP4DC7q5dRCK3MmwCQHjLkvSe8HF67+8+RmNTc8AViUh3iYqgZ2YpwENAJfBvrd5eBnwLuAG4FngZuAdYYmZnqv8uYGOr47nuq1xEuirUbdsvI4XJQ/sFXE3iCi2zUlnXyIYD5QFXIyLdpStj9LqFmRleyLsIuME5ty/8fefcfa1uednMdgM/BRYBz5zm4x8Enmp1rhCFPZGo4JxradGbNSaX5CQLuKLE1Xrf23NHDgiwGhHpLoG26Pkh73fAbcBi51xHA9hj/uuc013knCt2zm0KP4AdkVcsIt1pd2k1h0/UAqcGDel9Q/v3YVRuX+DU7nQRiW2BBb2wkPdF4EvOucfOcEtbNJBEJIaFB4rQnqsSnFD37Zrdx6hv1NerSDwIJOj5Ie+/8ELeV51zD3fyI273X7XkikgMC43P6983lUmDNT4vaKFW1ZqGJtbvPx5wNSLSHbo0Rs/MrgYygWz/1GQzu9H/88vOuWozewgvmBU65/b47/0CuBP4PbDBzMK7YOuccx/5n38R8E944/B2AhnA1XgLNS8FXuhK/SISnPDxebPHDCRJ4/MCd+q+t6XMHK1WVpFY19XJGL/GWxIl5Cb/ABiDtwBysn+Ef4tf47/e4R/h9gCj/T8fApqA+4E8wAEfA98FfuacU9+CSIzacbSSkso64NSAIcEp6JfB2PxMdh6tYuXOUr4+/xO7UopIjOlS0HPOje7ANYuBxZ29z7+uCPh05ysTkWh3yvp5hVo/L1rMHZvLzqNVfLDnGHWNTaSnJAddkoh0QVSsoyciiSc0Pi83M42zBmUFXI2EhMbp1TU289FejdMTiXUKeiLS65qbHat2lgEwZ2wu3vwsiQZzWo3TE5HYpqAnIr1ue3EFZVX1AMzR+nlRJS8rnfEFXgtrqNVVRGKXgp6I9LpT97dV0Is2oe7btXuPU9vQFHA1ItIVCnoi0utCQS8/O53C/MyAq5HWQuG7vqmZD/YcC7gaEekKBT0R6VXNzY7Vu7zxeXM1Pi8qzdY4PZG4oaAnIr1qy+ETlNc0ANrfNloNzExj4mBvHfxVGqcnEtMU9ESkV2l8XmwIhfB1+49TXd8YcDUiEikFPRHpVaEWoiE5GYzK7RtwNdKeUAhvaHKs2a1xeiKxSkFPRHpNU9j4PK2fF91mj8kl9K9Hy6yIxC4FPRHpNZsOllNR63UDqts2uuX0TWXK0H4ArNCEDJGYpaAnIr1mxSn72yroRbsL/D2INx4op6K2IeBqRCQSCnoi0mtCEzFGDOzDiIEanxftQmG8qdnx/u6ygKsRkUgo6IlIr6hvbG4JC+q2jQ3njx5IcpI3UG9FkbpvRWKRgp6I9Ir1+49TXe9tpxXqEpTolpWewvThOYDG6YnEKgU9EekVGp8Xm0KhfPOhExyrqg+4GhHpLAU9EekVofF5hfmZDOqXEXA10lEXhIXy1bvUqicSaxT0RKTH1TY08cFeb9FdddvGlhmjBpCW7P2oUPetSOxR0BORHvfhnmPUNzYD6raNNRmpycwY1R9Q0BOJRQp6ItLjwndWmKMZtzEn1ApbVFxJcUVtwNWISGco6IlIjwu1BE0a0o+BmWkBVyOdFd4Ku1KteiIxRUFPRHpUZV0j6/YdB04d2C+xY/rw/vRJTQYU9ERijYKeiPSo93eX0djsAC2UHKvSUpI4f8xAQOP0RGKNgp6I9KhVfjBIMpg1dmDA1UikQq2xe8uq2X+sOuBqRKSjFPREpEeFWoCmDe9Pv4zUgKuRSIW3xqr7ViR2KOiJSI8pr25g48FyQOPzYt2Uof3IzkgBFPREYomCnoj0mNW7SnHe8DwFvRiXkpzE7DHev8OVO0txoX+xIhLVFPREpMeEum1Tk42ZozQ+L9aFwvqh8lp2l2qcnkgsiDjomVm2mf3EzF41s6Nm5szs+524v8DMHjGzEjOrNrOVZja/nWsX+O9X+9c/YmYFkdYuIr0j1MV37ogB9ElLDrga6arw9fRW7CgJsBIR6aiutOjlAl8B0oFnO3OjmaUDbwDzgW8Ai4AjwBIzu6TVtZcAf/HfX+RfvwB4w/8cEYlCJZV1bDtSAWjbs3gxYVB2y4LXWmZFJDakdOHHN2E5AAAgAElEQVTePcAA55wzszzgS524905gKnCBc24lgJm9CawDfgLMDrv2AWA7cKNzrtG/dhewHLgD+HUX/h5EpIeED9jX+Lz4kJRkzB2by0sbDrFqRynNzY6kJAu6LBE5jYhb9JwvwtuvA7aFQp7/eY3AY8AsMxsG4L+eDzwaCnn+tSvwwt91kdYvIj0r1LWXkZrEOSP7B1yNdJdQ62xpVX1Li62IRK+utOh1xVTg3TbOr/dfpwAH/OvCz7e+dt7pHuKP48tvdbqw42WKSKSWFXlBb9aYXNJTND4vXlw4Lq/lz8uLSpg0pF+A1YjImQQ16zYXKGvjfFnY++Gv7V17pv6gu4CNrY7nOlWpiHTa3tJq9pXVAHDhOHXbxpNRuX0Z1r8PcDLMi0j0CnJ5ldN1+7Z+r71rz9R1/CBeq2D4sahD1YlIxJaHzci8oDDvNFdKrDEz5vnh/b1dZdQ3NgdckYicTlBBr5S2W+NCC22VhV3Haa5tq6WvhXOu2Dm3KfwAdkRSsIh0XKilZ0DfVCaray/uzPO7b6vrm1i773jA1YjI6QQV9DYA09o4Hzq3sdVre9dubOO8iASoudmxwg96F4zL06zMOBTeSqvuW5HoFlTQewaYaGYty6iYWQpwG7DaOXcQwDl3AHgPuM3MksOunQNMAJ7u1apF5Iw2HzrBseoGAOap2zYu5WenM3FwNuBNyBCR6NWloGdmV5vZjcA1/qnJZnajf/T1r3nIzBrNbFTYrb8HNgFPmdmtZrYA+BNeeLu31WPuBSb61y4ws1v9azcCD3elfhHpfuE7JoTP0JT4Evp3u3bfcSpqGwKuRkTa09UWvV8DT+EFN4Cb/L9+CghtUZbsHy39N865OrxdMd4E/gN4ARgCXO2cezv8Ac65t4CF/vsv+Ne/Ccz3P0dEosiyIm9o7YiBfRiZ2zfgaqSnhMbpNTU73tt12uHSIhKgLq2j55wb3YFrFgOL2zh/BLi9g895DXitc9WJSG+ra2zivV1e0FNrXnybNWYgKUlGY7NjWVEJ8ycNCrokEWlDkMuriEic+XDPcWobvOU2tKxKfMtMT2HGyAGAxumJRDMFPRHpNitOWT9PCyXHu1D37fYjlRRX1AZcjYi0RUFPRLpNaKmNyUP6kZuVHnA10tPmhe16sqKo9DRXikhQFPREpFucqG1gnb947jxte5YQpo/oT2aat/KV1tMTiU4KeiLSLVbtKKXZ35RwniZiJITU5CTmjPVC/fKiEpw7066UItLbFPREpFus2OF13aUmG7PGDDzD1RIvQqH+UHktu0qqAq5GRFpT0BORbhHqupsxcgB907q0cpPEkPDWW82+FYk+Cnoi0mWHy2spKq4E1G2baM4alEWeP/FG4/REoo+Cnoh0WXhLjoJeYjEzLvQn36zYUUpTs8bpiUQTBT0R6bJ3Pz4KQFZ6CtOH5wRcjfS2ULivqG1k3f7jAVcjIuEU9ESkS5qbHe9+7LXoXVCYS0qyvlYSzUXj81v+/M72owFWIiKt6RtZRLpk86ETlFbVA3DxWflnuFri0eCcDCYMygYU9ESijYKeiHTJ22E/2C9R0EtYF5/ldd+u3Xec8uqGgKsRkRAFPRHpklALzpi8TEYM7BtwNRKUUGtus4PlOzT7ViRaKOiJSMQq6xr5YM8xAC4er9m2iez80QPJSPV+pKj7ViR6KOiJSMRW7iil0V9O45IJ6rZNZBmpycwe4y2z8s72o9oOTSRKKOiJSMRCLTdpYXueSuIKdd8eLK9lx9HKgKsREVDQE5EueMdfP2/maG17JnDJWSe779/ernF6ItFAQU9EIrKntIo9pdWAllURT2F+FkNzMgCN0xOJFgp6IhKR8B/kF49X0BNvO7RQ6F+9q5TahqaAKxIRBT0RiUioay4/O51JQ7IDrkaiRSjo1TY08/7usoCrEREFPRHptPrGZlb6a6VdND4PMwu4IokW8wrzSPL/c3h7m7pvRYKmoCcinfbh3mNU1XvdctoNQ8Ll9E3lnBH9gZOTdUQkOAp6ItJpofF5ZnDhOC2ULKcKdd9uP1LJofKagKsRSWwKeiLSaaGWmqlDc8jNSg+4Gok24bOw39UyKyKBUtATkU4pqaxj44ETwMmN7EXCTR/en5w+qQC8re5bkUAp6IlIpyz7+GQLjZZVkbYkJ1lLl/6yj0toatZ2aCJBUdATkU552x+fl5WewoxRAwKuRqJVqLW3vKaBdfuPB1yNSOKKOOiZWZaZ/dzMDppZrZmtNbObO3DfW2bmTnMM7sC1SyKtW0Qi19TseGtbMQDzxuWSmqzfFaVtl04oaPnzm1uLA6xEJLF1ZXPKp4Hzgb8HtgO3Ak+YWZJz7n9Oc99dQL9W5/oCS4APnHOHW723E/h8q3P69VAkAGv3HeNYdQMA8ycOCrgaiWaD+mUwZWg/Nh08wRtbivm7T00IuiSRhBRR0DOzhcAVwK3OuSf802+a2SjgATN70jnX5t43zrnNbXze7UAq8Ls2bqlxzq2KpE4R6V5Lw1pmLp2o8XlyevMnFrDp4Ak2HzrB4fJaBvv74IpI74m03+U6oBJ4qtX5h4GhwOxOft6d/uc9GWE9ItIL3tjiBb3pw3MoyNYPbTm9yyedbPVdqu5bkUBEGvSmAlucc42tzq8Pe79DzGw8cBHwR+dcZRuXFJpZmZk1mtkOM/uRmfWJrGwRidSB4zVsPVwBwOXqtpUOOHtYDnlZaQAs3Xok4GpEElOkY/Ry8cbOtVYW9n5H3em/PtTGe8vwWvm2An2Aq4F7gAvN7DLnXPPpPtjMCoDW/UuFnahNRHzhLTKXTyw4zZUinqQk49IJBfz5g/0sKyqhtqGJjNTkoMsSSShdmYxxuoWROrRokpmlALcDm9oah+ecu6/VqZfNbDfwU2AR8MwZHnEX8L2O1CIipxeaOVmQnc6Uoa3nU4m0bf5EL+jVNjSzcmcpl03QLwkivSnSrttS2m61G+i/lrXxXlsWAoNpexJGex7zX+d04NoH8bqRw49FnXiWiAA19U0sL/IWSr58YgFJSRZwRRIrLhyfR2qy99/L0i0apyfS2yINehuASX6LXLhp/uvGDn7OnUA98GgENZy22xbAOVfsnNsUfgA7IniWSEJbsaOEukbvfzl120pnZGekMnuM1y6wdGsxzmmXDJHeFGnQewbIAm5odf524CCw+kwf4C+MvBB41jlX2oln3+6/askVkV4SGp+XlpzEvHHa31Y65zL/l4MDx2vYfqStOXci0lMiCnrOub8ArwG/NrMvm9llZvZb4CrgntAaemb2kD9bdlQbH3M73hjBNrttzewiM1tiZl81syvM7BozexD4MbAUeCGS2kWkc5xzLUFvTmEumeldGdoriWh+WCvwG5p9K9KrurJ/0fV4Xa4/xNvVYjZwi3Pu8bBrkv2jrQE9dwC7gdfb+fxDQBNwP16o+xNwIfBdYOGZZtyKSPfYcqiCQ+W1wKk/sEU6anReJmPzMwGN0xPpbRH/au6vefcN/2jvmsXA4nbeO+1+OM65IuDTkdYnIt3jzW1aVkW67vIJBew8uosP9x7jWFU9AzLTgi5JJCFoR3IROa03tnhdbeMLshgxsG/A1UisunyS90tCs4O3tx8NuBqRxKGgJyLtKq2s46N9x4GTP6hFInH+6IFk++M739B2aCK9RkFPRNr11rajhFbDmK9tz6QLUpOTuHiCt1HR29uKaWzSMGuR3qCgJyLtCs22zemTyoyR/QOuRmLd5f6uGCdqG1mz51jA1YgkBgU9EWlTbUMTb/kTMS6dkE9Ksr4upGsum1hAaFOVVzdpmRWR3qBvbhFp0/KiEqrqmwC4asrggKuReDAwM41ZY7ydMl/ZdFi7ZIj0AgU9EWnTko2HAUhPSeISf2yVSFeFfmk4cLyGjQdOBFyNSPxT0BORT2hsauY1f1mVS87Kp2+adsOQ7vGpsNbhJZsOBViJSGJQ0BORT3hvVxnHqxsAuGqqum2l+wzt34fpI7yJPaFWYxHpOQp6IvIJSzZ5P4BTkkzLqki3u3KK99/UjqNVFBVXBFyNSHxT0BORUzQ3O17xg97cwlxy+qYGXJHEm/DJPWrVE+lZCnoicoq1+49z5EQdAFdqtq30gLH5WZw1KAuAV7TMikiPUtATkVO84rewmMGnJqvbVnpGqFVvw4Fy9h+rDrgakfiloCciLZxzLePzzhs5gIJ+GQFXJPHqyrBJPmrVE+k5Cnoi0mLr4Qr2lHqtK5ptKz1p8pB+jBjYBzjZiiwi3U9BT0RahA+M1/g86Ulm1tJ9+/6eMo5W1AVckUh8UtATkRah2bZThvZjxMC+AVcj8S7UauwcvLZZ3bciPUFBT0QA2FVSxdbD3ppm2ttWesO5IwaQn50OnFy7UUS6l4KeiAAnW/Pg1IHyIj0lKclaZnavKCqhvKYh4IpE4o+CnogA8Bd/fN7YvEzGF2QFXI0kilD3bWOz440t6r4V6W4KeiLC3tJq1u07Dng/eM0s4IokUcwZm0t/f/eVF9YdDLgakfijoCcivLD+5A/YRecMC7ASSTSpyUksnDYEgHc/LqGsqj7gikTii4KeSIJzzvHsRwcAmDg4mwmDswOuSBLNoulDAa/79uUNhwKuRiS+KOiJJLithyv4uLgSgGvPGRpwNZKIzh89kCE53i4sz69V961Id1LQE0lwz4X9YL3mbAU96X1JScY1fqvee7vLOHC8JuCKROKHgp5IAmtudi0D4M8bNUCLJEtgrp1+8pcMTcoQ6T4KeiIJ7IO9x1paTxap21YCNGVoPwrzM4FTW5lFpGsU9EQS2HNrvUkYyUnWMvNRJAhm1jLje8uhE2w/UhFwRSLxQUFPJEE1NDXz0npvhuOF4/LIy0oPuCJJdOHdt5qUIdI9Ig56ZpZlZj83s4NmVmtma83s5g7ct9jMXDvHJ/ZdMrOb/c+u9Z/1czPTsv0iXbTs4xKOVXtbTqnbVqLB6LxMpo/oD8Dz6w7inAu4IpHY15UWvaeB24EfAFcD7wNPmNmtHbz/i8DcVkdp+AVm9nngCf+zr/aftdh/toh0wfP+gPf0lCQ+NUV720p0CK2pt7esmrX+bi0iErmUSG4ys4XAFcCtzrkn/NNvmtko4AEze9I513SGj9nonFtzmmckAw8Arzrnvhz2jArgcTO72jn3l0jqF0l0NfVNvLLJ29t2weRBZKVH9FUg0u0+c/YQ/uWlzTQ7b1LGuSMHBF2SSEyLtEXvOqASeKrV+YeBocDsrhTlmwMM8T8z3FP+s6/rhmeIJKTXtxyhut77XWzRdHXbSvQo6JfBBYV5ALy4/hCNTc0BVyQS2yINelOBLc65xlbn14e9fyYvmlmTmZWZ2dNm1vqe0F+vDz/pnGsAtnbkGWZWYGZTwg+gsAO1icS10PIV/TJSuGRCfsDViJwqtENLSWUdK3eWnuFqETmdSINeLlDWxvmysPfbcxj4EfAl4DLgfuB8YJWZTW/1jPDPbP2c0z0j5C5gY6vjuQ7cJxK3SivreHt7MQALpw0hPSU54IpETnXV1MGkpXg/np7+8EDA1YjEtq5MxjjddKh233POLXHO3eece9E5945z7lfARf49P+zEZ3VkOtaDeC1/4ceiDtwnEree/vAADU3e/z7XnTss4GpEPqlfRipXTB4EwMsbDlHuzw4Xkc6LNOiV0naL2kD/ta1WuHY553YDy/DG5YU/g9M854zPcM4VO+c2hR/Ajs7UJhJPnHP88f29AIzNy2TWmIFnuEMkGDefPwKAusZmnlunVj2RSEUa9DYAk8ys9VS9af7rxgg+04DwUbcbWn2md5H3zIkRPkMkoX2w5xg7jlYB8LnzR2BmAVck0rZ5hXkMH9AHgCfe26c19UQiFGnQewbIAm5odf524CCwujMfZmZjgHnAqrDTq4FDeOvmhbvRf7bW0hPppD++vw+AlCTjhvOGB1yNSPuSkozPzfRa9bYcOsHGAycCrkgkNkUU9Pz1614Dfm1mXzazy8zst8BVwD2hNfTM7CEza/TX18M/97qZfdfMPmtml5vZN/C6bR3exIzQM5qAe4CrzOw3ZnapmX0Z+DXwmnNuSYR/zyIJ6URtQ8uWZ1dMHqQtzyTq3ThzOEl+o/MT/pADEemcrkzGuB54FG8CxRK8tfNucc49HnZNsn+E9w9tAD4H/AF4BS/MLQVmOudO6Y51zj0G3Io3du8V/1l/8J8tIp3wwrqD1DR4a+d9zh//JBLNhuT04dIJBYC39211fesVvUTkTCJeDt85Vwl8wz/au2YxrbpenXN3d/I5T+BtgyYiXfCk3207NCeDi8Zr7TyJDTefP4KlW4uprGvkpfWHuGmmfkkR6YyutOiJSIzYdLCc9fvLAbhp5giSkzQJQ2LDZRMLyM/2hhmEflkRkY5T0BNJAKEfkGZw00xNwpDYkZqcxI3+xKE1e47x8ZGKgCsSiS0KeiJxrrahiWc+8tYhu3h8PsMH9A24IpHO+auw7lq16ol0joKeSJz7y8ZDVNR6g9hv1iQMiUFj8jKZM9Zb3Pvpjw5Q19gUcEUisUNBTyTO/fE9rwUkNzON+ZMGBVyNSGRumTUSgLKqel7fXBxwNSKxQ0FPJI4VFVewepe3W+AN5w1v2SheJNZcOWUwOX1SAXhs1Z6AqxGJHfrWF4ljDy3bDXiTMEItIiKxKCM1uWVSxsqdpWw+qJ0yRDpCQU8kTpVV1fP0h/sBmD+xgDF5mQFXJNI1iy8Y3bJTxu+X7wq2GJEYoaAnEqceX7WHusZmAO64cEzA1Yh03YiBfblyymDA2ymjuKI24IpEop+Cnkgcqmts4g/+OKZJQ/oxd2xuwBWJdI87/V9a6puaeWyV9r8VORMFPZE49OK6QxytqAO8H4xm2glD4sN5owYwfXgO4LVa1zZoqRWR01HQE4kzzjkeWuaNX8rLSuea6UMCrkik+5hZy1CE0qp6nlt7IOCKRKKbgp5InFm1s4zNh7wZiV+YO4r0lOSAKxLpXgunDWFwvwwAHlq2C+dcwBWJRC8FPZE4E2rNS0tJ4vOztaSKxJ/U5CS+cMEoALYfqWRZUUnAFYlELwU9kTiyu6SKN7YeAeD6c4eRm5UecEUiPePWWSPpk+q1Vod+uRGRT1LQE4kjDy/fRagXS0uqSDzr3zeNG84bBsBb245SVFwRcEUi0UlBTyROlFc38NQH3gLJF43P46xB2QFXJNKzvjjv5C8zoV1gRORUCnoiceKh5buorveWmrhTrXmSAArzs5g/sQCA//1gPweP1wRckUj0UdATiQPl1Q087I9TOnt4DpeclR9wRSK9428uHwd4Cyg/+FZRwNWIRB8FPZE48LtlO6moawTgmwvGa4FkSRgzRg5o+cXmyff3sf9YdcAViUQXBT2RGHesqp7f+61500f057IJBQFXJNK77r7iLAAamhy/enNHwNWIRBcFPZEY91/v7qTKH5t3t1rzJAGdM6I/l/tj9Z5as499ZWrVEwlR0BOJYWVV9TyyYjcAM0b219g8SVh3L/Ba9RqbHb9cqrF6IiEKeiIx7Dfv7GiZaXv3FWepNU8S1rThOSyYNAiAP3+4nz2lVQFXJBIdFPREYlRJZR1/WLEHgJmjBnDhuLyAKxIJ1jcXjAegqdnxH2rVEwEU9ERi1m/f2UlNg9ea9y215okwdVgOV07xWvWe+egAu0vUqieioCcSg45W1PGHlbsBmDVmIHMLcwOtRyRafNMfq9fU7PjFGx8HXI1I8BT0RGLQz17dRm1DM+ANQldrnohn0pB+XD11MADPrD3Ahv3lAVckEqyIg56ZZZnZz83soJnVmtlaM7u5A/ddb2ZPmFmRmdWY2W4ze9zMxrdx7Vtm5to4lkRat0isW7//OE+u2QfAZRPy1Zon0sq3r5xASpLhHHzv+Y0454IuSSQwXWnRexq4HfgBcDXwPvCEmd16hvvuBfoCPwKuAu4DzgU+NLMpbVy/E5jb6vhmF+oWiVnOOb7//Cacg9Rk4/7PTA66JJGoU5ifxR3+fs8f7j3Os2sPBFyRSHBSIrnJzBYCVwC3Ouee8E+/aWajgAfM7EnnXFM7t1/jnCtu9XlLgd3A3cCXWl1f45xbFUmdIvHm2bUH+HDvcQDuuHAMY/OzAq5IJDp9/fJxPP3hAUoq6/jXl7dyxeTBZKVH9CNPJKZF2qJ3HVAJPNXq/MPAUGB2eze2Dnn+uYPAfmBEhPWIxL3Kukb+9eWtAORnp/P1yz8x2kFEfNkZqfz91RMBKK6o41dvarkVSUyRBr2pwBbnXGOr8+vD3u8wMxsLjAI2tfF2oZmVmVmjme0wsx+ZWZ/OlywS2365tIjiijoA/uHqiWqdEDmD688dxjkj+gPw0Lu72KXlViQBRRr0coGyNs6Xhb3fIWaWAjyE10L4b63eXgZ8C7gBuBZ4GbgHWGJmZ6zdzArMbEr4ARR2tDaRaLGrpIqHlu0EvK3OPnvOsIArEol+SUnGD671hn7XNzXzLy9uDrgikd7XlSaB001j6tAUJ/PWhHgIuAi4wTm375QPce6+Vre8bGa7gZ8Ci4BnzvCIu4DvdaQWkWj2zy9upqHJYQbfv3YKSUlaTkWkI6aP6M9fzRzOn9bs542txby5tZjLJhYEXZZIr4m0Ra+UtlvtBvqvbbX2ncIPeb8DbgMWO+ee6+CzH/Nf53Tg2gfxupHDj0UdfI5IVHh98xGWbvWGtn5u5gjOHt4/4IpEYst3rpxItj/U4Ycvbqa2ob25giLxJ9KgtwGY5He7hpvmv2483c1hIe+LwJecc4+d7vp2NJ/pAudcsXNuU/gB7IjgWSKBOFZVzz88swGA7IwUvn3lhIArEok9+dnpfMPfB3dXSRUPvLIt4IpEek+kQe8ZIAtv7Fy424GDwOr2bvRD3n/hhbyvOuce7uSzb/dfteSKxDXnHPc9u5Gj/gSM710zhbys9ICrEolNiy8YfXJixrJdrNhREnBFIr0joqDnnPsL8BrwazP7spldZma/xVsA+Z7QGnpm9pA/W3ZU2O2/AO7EW4plg5nNCTvODV1kZheZ2RIz+6qZXWFm15jZg8CPgaXACxH9HYvEiOfXHeSlDYcA+NTkQdwwQxMwRCKVkpzE//ur6WSkej/2vvPUeipqGwKuSqTndWVnjOuBR4EfAkvw1s67xTn3eNg1yf4RPnL8Gv/1DmBlqyN8csUhoAm4Hy/U/Qm4EPgusNA5d8auW5FYdbi8lvuf9UZA5Gam8ePrp2k/W5EuGpufxT8unATAgeM1/PAFzcKV+BfxrFvnXCXwDf9o75rFwOJW50Z38POLgE9HWp9IrHLO8Z0/r+NErbdM5Y+um6YuW5FuctvsUby2+QjvflzCUx/s51NTBnPF5EFBlyXSY7rSoiciPeCx1Xt592Nv/NANM4Zz1dTBAVckEj+Skoyf3Hg22RleO8c/PL2e0sq6gKsS6TkKeiJRZFdJFT9+aQsAQ3My+N61kwOuSCT+DMnpww8XeQspl1TW84/PbMC5Di3/KhJzFPREokRVXSNfe+wDavw1vn5603T6ZaQGXJVIfPrsOcO42m8tf2XTER5ativgikR6hoKeSBRobnb83Z/WsfVwBQBfvmgMF4zLC7gqkfhlZvzoumkMzckA4Mcvb+Gd7UcDrkqk+ynoiUSBXyz9mCWbDgNw0fg87r1qYsAVicS/gZlp/PYLM8lITaLZwf/9nw/ZVVIVdFki3UpBTyRgSzYe4uevfwzA6Ny+/PKWGaQk639Nkd4wdVgOD9w4HYATtY18+Q9rtL6exBX9NBEJ0NbDJ/jWn9YBkJWewu9un0lOX43LE+lN10wfyl2XFgJQVFzJN/+4lqZmTc6Q+KCgJxKQsqp6vvTfa6iub8IMfnHLOYwryA66LJGE9O1PTWD+xAIA3thazM9e1X64Eh8U9EQCUFHbwJ3//T77j9UA8J0rJ3D5RC3aKhKUpCTj5zefw7iCLAAefGsHj67cHWhNIt1BQU+kl1XVNfLFh9/no73HAVh0zlC+dklhwFWJSHZGKr/7wkz6+8Mn7n9uE/+zem/AVYl0jYKeSC+qrm/ki4+8z5o9xwBYMKmAB26crn1sRaLE6LxMHr1jdsvOGf/4zAb+9P6+gKsSiZyCnkgvqalv4s5H1vDerjIALpuQz68+P4O0FP1vKBJNpg3P4dE7Z5Od7oW9e59ez/9+sD/gqkQio58wIr2gtqGJL/9hDSt3lgLeWnm/vu080lOSA65MRNpyzoj+PHLHLDLTknEOvv3ndTy39kDQZYl0moKeSA8rr27gjkfeZ1lRCQDzxuXyX1+YSUaqQp5INDtv1AAeuWMWff2wd/eTa3l89Z6gyxLpFAU9kR6082gln31wOSt2eC15c8YO5HdfOF8hTyRGnD96IL9ffH7L7hn/9MxGvv/8JhqbmoMuTaRDFPREesjyohI++6vlLVsqLZw2mIcXz6JPmkKeSCyZMzaX//nyHPKy0gF4ZMVu7vjvNZzQDhoSAxT0RHrAo6v28IXfv8eJ2kYA/nb+eH55ywyFPJEYNWPkAJ77v/OYNKQfAO9sP8r1D65gT6n2xpXopqAn0o2q6xv5x2c2cP+zG2lqdqSlJPHvN5/Dt644i6QkLaEiEsuG9e/Dn/96LldM9hY3LyquZNGvlrN065GAKxNpn4KeSDf5YE8ZC//93ZYFVvOz03nyK3NYdM6wgCsTke6SmZ7Cb247j6/5e+Mer27gjkfWcO+f11OhrlyJQgp6Il1U29DEv768hRv/cyW7S6sBmDlqAM/9zTzOHTkg4OpEpLslJRn3XjWRn3/unJa19p5cs4+rfv4uy/3Z9SLRQkFPpAvW7z/ONf+xjN+8sxPnIC0liX9aOIknvzqXof37BF2eiPSgz547jCV3X8yF4/IAOHC8hs//bjXffW4jVXWNAVcn4kkJugCRWLT/WDU/e3U7z649gHPeubOH5/Czm6YzflB2sMO59ZQAABJXSURBVMWJSK8Z1r8Pj945i8dW7+XHL22hpqGJP6zcw8sbDvONBeO5+fwRpCarTUWCo6An0gnHq+v55dIi/rByD/X+OlqpycbfXj6er11aSIq+0EUSjpnxf+aM4uLxeXz7qXW8v/sYJZV13P/sRh5etot7rprAlVMGa09rCYSCnkgHHK+u5/HVe/nN2ztalkwBb22871w5kTF5mQFWJyLRYFRuJk9+ZS4vrD/IA69sY/+xGnaWVPHXj33IuSP7843547l4fL5m4EuvUtATOY3tRyp4ZMVunv5wP7UNJ1fCnzVmIP9w9URNthCRUyQlGYvOGcZVUwfz6Mo9/PLNIo5XN/DR3uMsfvh9CvMzWXzBaK6fMZzMdP0Ilp5nLjTAKEGY2RRg48aNG5kyZUrQ5UgUqm9s5q1txfz3yt0sLyo95b0Jg7L5zpUTmD+pQN0wInJG5TUN/OfbO3hk+W5qGppazmdnpPC5mSO4ZfZICvOzAqxQot2mTZuYOnUqwFTn3KbO3q+gJwI0NDWzrKiEl9Yf4tVNh///9u42OK7qvuP497+7epYlY8myjU3xU4BgOy4dCASHAYKhAZISJ2kLhhnIENqGvMj0DZBOpk3TptNkOpNkMkmmGSgwEEhgBkrDUx0YoAk20CfwQ3iyjRvwE7YMkiXrcXX64p6VrtYraXfvSrt39/eZ2bmrc8+55/519tw993EnnZ41g8vO6uKmC1ewYXWHBngiUrCegREe+s93uXfbPt77YGDSvLMWz+Oz60/l6nVLWK7LQCSLBnoF0kBPMrr7hti6p5tfv32ELb89zIcnJj/stLUhxR+fu4wbP7FcG18RKYn0mOPZ1w9z94v72La3+6T5a05t44qzF7NhdQfrT5uvO3Yl8kCv6AsEzKwV+HvgT4AFwBvAPzrnfp5H2S7gu8BngGbgNeAbzrlnc+TdCPwdsB44ATwO3Oace7/YdZfa1N03xKvvfsjWPd28uPsobxw6flKe+lSCS85YyNUfW8LGjy7SNTQiUlLJhHHFmsVcsWYxe4/08fj2gzyx/SBvHg62R7sO9LLrQC/fewZa6pN8fMUCNqzu5PwVHZy5eB71KQ38pDBFH9Ezsy3AecAdwFvAZuDLwPXOuQemKdcA/Bcw35d9H/gqcDWw0Tn3QijvxcAzwBPAj4Au4DvAB8C5zrmhItZbR/Sq3NiY42DvIG8fPs7O/T3s2N/Djvd6ONAzmDN/Y12CDas6+cz6YHA3r7FujtdYRGrdW4eP88T2gzy18yBvHe7Lmac+meDMxfNYu7Sdjy1r5+wlbaxc2KJtVpUry6lbM7uKYPC12Tn3YCh9C7AG+D3nXHqKsrcSDNoudM5t82kpgqN6fc6580N5XwFagPXOuVGfdiHwInCrc+4nRay7BnpVoH9olIM9Axz4cJCDPQPBYwyO9LP3aD/vHO2bdIdstmTCWL+snQ2rO7lwVSd/cPp8GlLJOVx7EZGpHe4dZOueo7y4u5utu49OuZOasXBeAys7W1i5sJUVnc0saW/i1PmNLGlvomteg57vGXPlOnW7CegDHs5Kvxt4ADgf2DpN2TczgzwA59yomd0P/IOZLXXO7TezpQRHDL+eGeT5vFvN7C2/nIIHelI5nHMMjozRPzzKiaE0fUOj9A6O0DswwvHB4P0HJ0Y41j9Ed98w3f3DdPcNceT40KSbJWay7JQm1i1tZ92ydtYtbef3T5uvPWARqViL2hrZdM4yNp2zDOcc/9d9glff/TA4O7G/h137e+gfnjiWcuR4sF18+Z1jJy0rYdA1r5GO1no6WhvoaKmno6WeBa31tDXW0dZUR1tjanzaXJ+ipT5FU31Sp4mrRLEDvbXA6+EBmLc9NH+qgd5a4Nc50jNl1wD7fb5wenbeDXmv7RwaGE7z2Kv7886f63hqroOsLkfOcD6Xleiy8jgXLMG58Dzn/w6mY+H3Y44xB2PO4Zwj7RzpsaBMeizzt2N0zJFO++nYGCNpx3B6jNH0xPuh0TGGRtIMj/r3o2kGhtOcGEnnjLUYZsGAbmVnKysXtozv3Z69pI1TWupLU4mIyBwzM5Z3trC8s4XPnbMUCLbPe4/28/bh4+w92s+eI328c7SfvUf66RmYfFPZmINDvYMc6p3+qGAudUmjqS5JU32ShlSShlSChroEDakkdUmjLpmgPpmgLpmgLpWgLmEkE0Yq6aeJBAkzkong+YIJM5Jm/j0kLJiaGeb/NvzUJuLPPOfADMynhf8e/yPz9uSk0LzcT03InTc/y05p5pMf6cwz99wrdqDXAezNkX4sNH+6sifvdpxctiMrPTvvdHUA4zd9LMxKXjVTuSiOD41wxyM7ZrOKmnNKcx0LWkJ7o631k05NLJ3fxKK2Ru19ikhNSCSM1V2trO6a/Pw95xy9A6Mc6BmYdGnLoZ4hjvUPcax/mKN9w3T3D017eUvGSNoxkh4t6AxKLfrDNYuqcqAHuQ9G5TOv0LJT5c3nWNCtwN/kkU9mkExk9sQY3ytLJo2U32tL+j258b28VLCXl0oYDXV+TzCVoLEuOB3QXJekuT5Jc0MqmNanaKlP0t5Ux7zGOtqaUrQ11jGvMaXrS0RE8mBmtDfX0d5cx0eXtE2bd2A4Te/gCMcHR+gZmLhsZmA4Tf9wmoHhUT9NMziSHj8bMzQyxuBompFRf/ZmbGzS+4kzPBPTzFmgzBmhsdp6qlvZFTvQ6yb3EbUFfprrKFyhZTMPGJoq73R1ZPyYk68jXAU8lkfZonS0NLDt658qqEyuQ8l5H0a28NuJw9nhWeOHuckc6p443p05bJ7w6RY6nJ45fK4HBIuIVJem+uCU7KK2xrLU79zE5UFjmcuIMpcLwXgabuLSpZMuPRp/H1puJjXnJVBTrUuuvPmPRiv9Zr5iB3o7gOvMLJV1nd46P905Q9l1OdKzy+4MpT+ZI+90dQDgn7U36Xl7sz1oSSaMJe1Ns1qHiIhInJkZSYNk3lfCSbGKPSf2KNAKfCEr/UbgAPDyDGXPMrPwY1RSwA3Ay865AwDOuf3AK8ANZpYM5b0AOBN4pMh1FxEREakJRQ30nHNPAb8CfmJmt5jZpWb2U+DTBL9akQYws7vMbNTMTg8V/xdgF/CwmW32v3zxEMHg7fasqm4HzvJ5N5rZZp93J8GjXERERERkClGucv88cB/wLeBpgmfnXeec+1koT9K/xo/N+l+zuAx4Dvgh8EtgCXBl+FcxfN7ngav8/F/6/M8BlxXzqxgiIiIitaTou26dc33A1/xrqjw3ATflSD9McJo3n3p+RXD0UEREREQKoOdWiIiIiFQpDfREREREqpQGeiIiIiJVSgM9ERERkSqlgZ6IiIhIldJAT0RERKRKaaAnIiIiUqU00BMRERGpUkU/MDnG6gF2795d7vUQERERmVZovFJfTHlzzpVubWLAzP4IeKzc6yEiIiJSgGucc/9WaKFaHOi1AxcD7wLDs1TNKoLB5DXAnlmqo5LVcvyKvTZjh9qOv5Zjh9qOX7HPfuz1wGnAC865nkIL19ypW/9PKnhEXAgzy7zd45zbNZt1VaJajl+xAzUYO9R2/LUcO9R2/IodmJvY/7fYgroZQ0RERKRKaaAnIiIiUqU00BMRERGpUhrozY4jwN/6aS2q5fgVe23GDrUdfy3HDrUdv2Kv8Nhr7q5bERERkVqhI3oiIiIiVUoDPREREZEqpYGeiIiISJXSQE9ERESkSmmgJyIiIlKlNNArgJnNM7PvmtkWMztiZs7MvlngMrrM7B4zO2pmJ8xsm5ldNkXejX7+CZ//HjPrKkkwRTKzVjP7vpkdMLNBM3vVzK7Ns+zz/n821WtxHnmfnr3oZlz/KLHflE/cofzX+uUP+vq+b2atpY8qfxHj/7yZPWhmu81swMz2mdnPzOwjOfKWpe0jxhfrfu3Xq6j449C2M4kQe+z7tV+vYuOP9Tbdr1ek7/U49P2a+63biDqAPwNeA/4V+HIhhc2sAXgWmA98DXgf+CrwtJltdM69EMp7MfAU8ATBDyZ3Ad8BnjWzc51zQ9HDKcojwHnAHcBbwGbgQTNLOOcemKHsrUBbVloz8DTw3865Q1nz9gLXZ6V9WNRal0aU2DO+BLyRldYd/sPMrgfuB+4E/hI4g6DtzwauKHrto4sS/+3AIeDbBO16GvBXwP+Y2QU5fieyHG1fVHxV0q+h+PaNQ9vOJGrfjnO/huLjj/s2HSJ8r8em7zvn9MrzBRgTzx7sBBzwzQLK3+rLfCKUlgJ2AS9n5X3Fp6dCaRf68l8pU/xX+fqvy0rfAuwHkkUs80a/zJuz0p8Hdpa7zUsVO3CTL3/uDPmSwAHg37PSN/vyV8Y0/q4caacCw8Cd5W77KPHFvV+XIP6KbttZjj3W/Tpq/FMsLxbb9NB6Ff29Hpe+r1O3BXBehEVsAt50zm0LLXOUYC/v42a2FMBPzwPu8/MzebcS7G1tirAOUWwC+oCHs9LvJtiwn1/EMm/2y/xFtFWbdbMRey4XAEv8csMe9vXHsu2dc+/nSDsAvEdwBKjcosQX934NEeKPQdvOZC76dqX2ayh9/HHZpgORv9dj0fc10Jtba4HtOdIzaWtC+Zgm79oc6XNhLfB6+IPqbQ/Nz5u/huci4OfOub4cWVaZ2TEzGzWzPWb2bTNrKny1S6JUsT9uZmkf1yNmll0uZ9s750YITg1VRdsDmNlK4HSCvdxsc932UeKLe7+G0vftSmrbmZQi9rj2ayhh28dsm14Ksej7ukZvbnUAx3KkHwvND0+nytuRI30udBBcY5Ete/3zdbOf3pVj3m8I9gjfAJqAK4HbgE+a2aXOubEC64oqauyZa5heAnqBdQTXw7xkZhucc69lLWeqtl9ewDqXUknb3sxSBO3eB3wva3Y52j5KfHHv11DC9q3Atp1JlNjj3q+htH07Ttv0UohF36/ZgZ6ZXQI8l2f2c5xzr5ao6ukOEWfPmypv5B8ojhB/Ies/Xf0pgms5djnnXjppQc59IyvpSTPbB/wTwYWsj+ZbV466L2GOY3fOPU1wgXLGf5jZE8AO4FsEMeWzvGpoeyP4IrgI+IJz7t1JC5rFtp9BlPgqol9HFLl9K7htZ1JU7JXUryMqRduXbZteZhXf92t2oAe8CdySZ97flajObnKP3Bf46bFQPqbJm2uvoFDFxJ/v+ufjKmAxwV1H+bqfYKNwAdE2CuWOHQDn3D4z+w1BPBnhtj+co65Yt70fCNwJ3ADc6Jx7LM/1KFXbTyVKfJXUr4sVuX0ruG1nUtK+XcZ+XaxSxV/ObXq5xKLv1+xAzzl3kGCjNJd2EBzaz5ZJ25k1XQc8mSPvTiIqMv4dwHVmlsq6niN7/fNxM8FdefcVuA4AkQ7xV0DsYcbkeHaElvvb8UzB3vJZwINF1jOuXPGHBgJfIrgj7/4C1wEitv00osRXMf06gkjtW+FtO5PZ6Ntz3q8jKFX8Zduml1E8+v5s3tJbzS+Ke7zKV3yZ80NpKd/IL2XlfZngQ5QMpV3gy/9FmWK+0tf/p1npT1HAbfgEe30jwC8KrP82X/81cY09q+wK4DjwaCgt8xiGp7LyXuvr/3Qc257gi+9Ogg36LUXUP6ttHyW+uPfrEsRf0W07m7FPsbzY9OtSxR/HbfoU61Po41Vi0ffL/o+N28t3ii8S7Lk64CH/9xeB5lC+u4BR4PRQWoP/APyO4PlJGwkeVDkCXJxVzyU+/RGfb7MvtwNoKGP8WwgOM98CXAr81P8frs/Kd1L8oXm3+zKXT1HHRQTXvfw5cDnwWeDHfnnPAom4xQ48A/w18DngUwQP19xPcAH32qzyN/jl/rP/HNwCfABsKfNnP0r8P/R57/Ibt/DrnEpo+3ziq9Z+HTH+im/bWYw99v06SvyhebHcpofWb8bv9Tj3/bJ+uOL4Avb5D0Ku1/JQvnuy03z6IuBegnP2A8A2YOMUdV3u5w/4/PeS4+Gkcxx/K/AD4CAwRPA08Wtz5MsZv5/3JvAO/iGVOeavJnh6+HvAoI9/O8HT9ss5yC06doK7D3cRfAGMEHwZ3AecMUVd1/nlD/n6fgC0xrXtZ+g3+yqh7fOJr1r7dZT449C2sxh77Pt11M++nxfLbXqen+Hl08Ufh76feRq0iIiIiFQZPTBZREREpEppoCciIiJSpTTQExEREalSGuiJiIiIVCkN9ERERESqlAZ6IiIiIlVKAz0RERGRKqWBnoiIiEiV0kBPREREpEppoCciIiJSpTTQExEREalSGuiJiIiIVCkN9ERERESq1P8DdkkujAVMqCEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1, 1, 100) # make a dependent variable\n", "y = norm.pdf(x) # generate the probability density function for the normal distribution\n", "\n", "plt.plot(x, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We're going this slightly convoluted route because, once defined, these 'continuous distribution objects' have a number of useful properties that can be used in monte carlo iterations. In particular, the `.rvs(N)` method produces `N` random variables from within the specified distribution:" ] }, { "cell_type": "code", "execution_count": 372, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-0.18226251, -0.02586016, -0.18906464, 0.09056409, -0.16605748,\n", " -0.1859579 , 0.24369128, -0.18509248, 0.02519028, -0.10002106])" ] }, "execution_count": 372, "metadata": {}, "output_type": "execute_result" } ], "source": [ "norm.rvs(10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This produces 10 random numbers centered around zero, with a standard deviation of 0.2. If you run this cell repeatedly, you'll get a different set of random numbers each time.\n", "\n", "Also, the 'continuous distribution object' infrastructure has [LOADS of different types of distributions built in](https://docs.scipy.org/doc/scipy/reference/stats.html#continuous-distributions), so allows you to pick any arbitrary error function for your inputs.\n", "\n", "Using this approach, we can define our paramters as *probability distributions*, rather than single values." ] }, { "cell_type": "code", "execution_count": 373, "metadata": {}, "outputs": [], "source": [ "# define uncertainties for monte carlo\n", "Sr_params_oceanic = {'Ca': stats.norm(191, 50),\n", " 'D': stats.norm(2, 0.1),\n", " 'eps_a': stats.norm(0.72407, 0.002),\n", " 'Cm0': stats.norm(150, 75),\n", " 'eps_m0': stats.norm(0.7055, 0.001)}\n", "\n", "Nd_params_oceanic = {'Ca': stats.norm(57, 16),\n", " 'D': stats.norm(0.01, 0.0005),\n", " 'eps_a': stats.norm(-10, 0.37),\n", " 'Cm0': stats.norm(5, 2.61),\n", " 'eps_m0': stats.norm(3.2, 1.45)}\n", "\n", "# define uncertainties for monte carlo\n", "Sr_params_mantle = {'Ca': stats.norm(191, 50),\n", " 'D': stats.norm(2, 0.1),\n", " 'eps_a': stats.norm(0.72407, 0.002),\n", " 'Cm0': stats.norm(570, 84),\n", " 'eps_m0': stats.norm(0.7039, 0.002)}\n", "\n", "Nd_params_mantle = {'Ca': stats.norm(57, 16),\n", " 'D': stats.norm(0.01, 0.0005),\n", " 'eps_a': stats.norm(-10, 0.37),\n", " 'Cm0': stats.norm(30, 4.5),\n", " 'eps_m0': stats.norm(5.2, 1.6)}\n", "\n", "# Note: No D uncertainties provided, so I added an arbitrary 5% uncertainty" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We've defined two sets of parameters, for two different end-member compositions in the model (Oceanic and Mantle). Note how each parameter is now defined as a distribution 'object', rather than a single value. \n", "\n", "All of these are defined as normal distributions, but these can be easily swapped out for [any of the other distributions available in `scipy.stats`](https://docs.scipy.org/doc/scipy/reference/stats.html#continuous-distributions).\n", "\n", "Now we can use these parameter definitions to generate a unique, random set of parameters in each monte-carlo iteration.\n", "\n", "However, a syntactic aside: because we've stored our parameters in dictionaries, not individual values, it's a bit tricky to get the random value (`.rvs()`) of all the variables. To so this, we'll use a bit of Python syntax trickery, known as 'dictionary comprehension' - a slightly more advanced take on 'list comprehension'. [Here's a handy guide](https://www.datacamp.com/community/tutorials/python-dictionary-comprehension). Briefly, the following loops through every item of the dictionary, and gets its random (`.rvs()`) value:" ] }, { "cell_type": "code", "execution_count": 374, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'Ca': 192.83666199676074,\n", " 'Cm0': 252.4817726764705,\n", " 'D': 2.039076909264347,\n", " 'eps_a': 0.7227472186265932,\n", " 'eps_m0': 0.7065514869231683}" ] }, "execution_count": 374, "metadata": {}, "output_type": "execute_result" } ], "source": [ "{k: v.rvs() for k, v in Sr_params_oceanic.items()}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is what we'll use in each monte carlo loop.\n", "\n", "To simplify the application of Monte Carlo, I've put it all inside a function, which can be applied to different input parameter sets:" ] }, { "cell_type": "code", "execution_count": 375, "metadata": {}, "outputs": [], "source": [ "def MC_rF(gr, gF, Sr_param_dists, Nd_param_dists, obs_Sr, obs_Nd, N=1e3):\n", " # create some empty objects to hold the output data.\n", " out = np.full((2, int(N)), np.nan)\n", " params = []\n", " # do the iterations\n", " for i in tqdm(range(int(N)), total=int(N)):\n", " success = False\n", " while not success:\n", " # calculate random parameters for the iteration\n", " Sr_params = {k: v.rvs() for k, v in Sr_param_dists.items()}\n", " Nd_params = {k: v.rvs() for k, v in Nd_param_dists.items()}\n", " # calculate starting guess\n", " # Note: equation naturally converges towards F=1 and r=1, so we bias the initial\n", " # guess towards a lower value, to prevend spurious convergence towards this end point.\n", " rs = np.linspace(0.01, 0.5, 100) # r range to use for initial guess\n", " init = (F_calc(obs_Sr, r=rs, **Sr_params) - F_calc(obs_Nd, r=rs, **Nd_params))**2\n", " r0 = rs[init == np.nanmin(init)] # initial guess is r value where F difference is closest to zero.\n", "\n", " try:\n", " # use a zero finder to find the root (zero point)\n", " opt_r = opt.fsolve(calc_r, r0, \n", " (Sr_params, Nd_params,\n", " obs_Sr, obs_Nd))\n", " opt_F = F_calc(obs_Sr, r=opt_r, **Sr_params)\n", " if (opt_r < 0.99) & (opt_F < 0.99):\n", " # exclude values where both r and F => 1\n", " # this is an artefact o\n", " success = True\n", " except:\n", " pass\n", " # save the optimal paramters\n", " out[:, i] = opt_F, opt_r\n", " # save the input paramters for each iteration\n", " params.append([Sr_params, Nd_params])\n", " \n", " return out, params" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Python Note:\n", "There's some more complex 'control flow' going on here - note the `while` and `try`/`except` parts of the function.\n", "I'm using this to implement some 'quality control' criteria, based on what we know about the function. In basic terms, the flow of the iteration is:\n", "\n", "1. Record that the iteration has started, and has not been sucessful yet (`success = False`).\n", "2. Check that the iteration hasn't been completed yet (`while not success`)\n", "3. Start iteration, generate random parameters, calculate initial r guess.\n", "4. Using random parameters and initial r guess, try to find the r solution. If it fails for any reason, return to (2), otherwise go to (5).\n", "5. Quality control. Check whether both the $r$ and $F$ values are less than 0.99. If not return to (2), if yes go to (6).\n", "6. Record that the fit has been succesful (`success = True`, breaks the `while` loop), and record the outputs. Return to (1) for start of next iteration.\n", "\n", "This allows the function to run the specified number of iterations, while not freaking out at cases where there is no solution (no intersection of the results), or it produces physically non-sensical results (F and r => 1)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Let's look at the results!" ] }, { "cell_type": "code", "execution_count": 376, "metadata": {}, "outputs": [], "source": [ "def plot_MC(F_bs, r_bs, params, eps_Sr, eps_Nd, lines=True):\n", " # a function for plotting the results\n", " \n", " fig = plt.figure(figsize=[6, 6])\n", "\n", " # create axes\n", " hax = fig.add_axes([.1, .1, .6, .6])\n", " rax = fig.add_axes([.7, .1, .2, .6])\n", " Fax = fig.add_axes([.1, .7, .6, .2])\n", "\n", " # define axis limits\n", " Flim = (0, 1)\n", " rlim = (0, 1)\n", " \n", " # plot intersections\n", " hax.scatter(F_bs, r_bs, alpha=0.05, s=10, c='k', zorder=2)\n", " \n", " # labels and limits\n", " hax.set_xlim(Flim)\n", " hax.set_ylim(rlim)\n", " hax.set_xlabel('F')\n", " hax.set_ylabel('r')\n", " \n", " # plot lines\n", " if lines:\n", " r = np.linspace(0.01, 0.99, 100)\n", " for sr_par, nd_par in tqdm(params, desc='Drawing Lines'):\n", " hax.plot(F_calc(eps_Sr, r=r, **sr_par), r, c='b', alpha=0.005, lw=2, zorder=-5)\n", " hax.plot(F_calc(eps_Nd, r=r, **nd_par), r, c='r', alpha=0.005, lw=2, zorder=-4)\n", "\n", " # make legend\n", " hax.plot([], [], c='r', label='Nd')\n", " hax.plot([], [], c='b', label='Sr')\n", " hax.legend()\n", " \n", " # draw R histogram\n", " rax.hist(r_bs, 30, orientation='horizontal')\n", " rax.set_ylim(rlim)\n", " rax.set_yticklabels([])\n", " rax.set_xticks(rax.get_xticks()[1:])\n", " rax.xaxis.tick_top()\n", " \n", " fig.text(.8,.8,'N')\n", " \n", " rstats = np.percentile(r_bs, [50, 2.5, 97.5])\n", " for ax in [rax]:#, hax]:\n", " ax.axhline(rstats[0], c='r')\n", " ax.axhspan(*rstats[1:], color='r', alpha=0.08)\n", " rax.text(.98, .99, '{:.2f}\\n({:.2f}/+{:.2f})'.format(rstats[0], *(rstats[1:] - rstats[0])),\n", " transform=rax.transAxes, va='top', ha='right')\n", "\n", " # draw F histogram\n", " Fax.hist(F_bs, 30)\n", " Fax.set_xlim(Flim)\n", " Fax.set_xticklabels([])\n", " Fax.set_yticks(Fax.get_yticks()[1:])\n", " Fax.yaxis.tick_right()\n", " \n", " Fstats = np.percentile(F_bs, [50, 2.5, 97.5])\n", " for ax in [Fax]:#, hax]:\n", " ax.axvline(Fstats[0], c='r')\n", " ax.axvspan(*Fstats[1:], color='r', alpha=0.08)\n", " Fax.text(.98, .99, '{:.2f}\\n({:.2f}/+{:.2f})'.format(Fstats[0], *(Fstats[1:] - Fstats[0])),\n", " transform=Fax.transAxes, va='top', ha='right')\n", " \n", " return fig, (hax, Fax, rax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### ARD, Oceanic End Member" ] }, { "cell_type": "code", "execution_count": 377, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 22/5000 [00:00<00:24, 205.65it/s]/home/oscar/miniconda3/envs/py3/lib/python3.6/site-packages/scipy/optimize/minpack.py:161: RuntimeWarning: The iteration is not making good progress, as measured by the \n", " improvement from the last ten iterations.\n", " warnings.warn(msg, RuntimeWarning)\n", " 2%|▏ | 109/5000 [00:00<00:18, 264.99it/s]/home/oscar/miniconda3/envs/py3/lib/python3.6/site-packages/ipykernel_launcher.py:17: RuntimeWarning: All-NaN slice encountered\n", " 5%|▌ | 252/5000 [00:00<00:17, 274.65it/s]/home/oscar/miniconda3/envs/py3/lib/python3.6/site-packages/ipykernel_launcher.py:6: RuntimeWarning: divide by zero encountered in true_divide\n", " \n", "/home/oscar/miniconda3/envs/py3/lib/python3.6/site-packages/ipykernel_launcher.py:9: RuntimeWarning: divide by zero encountered in true_divide\n", " if __name__ == '__main__':\n", "/home/oscar/miniconda3/envs/py3/lib/python3.6/site-packages/ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in multiply\n", " if __name__ == '__main__':\n", "100%|██████████| 5000/5000 [00:20<00:00, 245.98it/s]\n" ] } ], "source": [ "(F_bs, r_bs), par = MC_rF(gr, gF, Sr_params_oceanic, Nd_params_oceanic, 0.71458, -3.19, 5e3)" ] }, { "cell_type": "code", "execution_count": 378, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Drawing Lines: 100%|██████████| 5000/5000 [01:23<00:00, 60.08it/s] \n" ] }, { "data": { "image/png": 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fTv/+/fnss89ITU0trJuRkcHGjRtDLlG1a9cuunTpcsz3F6nJlEEVEamDBgwYALggs7SsnmfmzJkMHjyYkSNH8uCDDxIfH89TTz1Ft27dApZm2rNnD2effTZ33nknCxYsKCz/9ttv+fbbbwE4ePAgGRkZLFmyBIAuXboUBmCzZ89m4sSJDBkyhGuuuabYW5i8AG7JkiV069aNzp07V/xH8NO1a1fGjBnDpEmTqF+/Pn369GHt2rW89tprTJ8+PaCLf+rUqUydOpV169Zx2WWXATBq1Cjat29P7969ad26NT/++COzZ8/m0KFDxMTEBNzrT3/6EwMHDuSqq65i3LhxGGOYPXs2hw8fZtq0aQF1CwoK+PLLLxkzZkylPKdITaEAVUSkDjrjjDO45JJLWLlyJffee2+Z9QcMGMCHH37IxIkTGT58OE2bNmXYsGH88Y9/DHiLlLWW/Pz8gEwrwLvvvlvsbUgjR44EYNKkSUyePBmA999/H4DVq1eHXHvU6zJftmwZd999d/kfuBzmz59PVFQUc+fO5eDBg3To0IE5c+bw8MMPB9QrKCgoNqGsR48e/OMf/+CVV14hLS2NVq1a8dvf/pZFixbRp0+fgPMvuugi1q1bx4QJE7jtttsAF3hv2LCB/v37B9TdsGEDKSkphfVOBGPMb4HxQH+gMfAL8Hdr7TS/OlcA04DfABnAKuBJa2180LUifNe6Czgd+BmYZ60t3ztkpc4y/v8DkyLGmK5AXFxcXODae0eOQGIitGhR4rnnT11b9Q308++JV1b85Guvhc8/h4sugpUrK69RInLiJCdDZCS0bHlMpy1dupSbb76ZPXv2EBUVVUWNq3xffvkl/fr1Y9u2bXTv3r26m1Ol7rjjDnbt2nVMy0xt377dGzPbzVq7/VjuZ4wZBSwC3gXeBtKAs4F21tqpvjqXAZ8AHwDzgLbATOAI0Ntam+13vdeBO4BngS3AVcA4YIK19vljaZvULcqgiojUUddffz19+vThhRde4M9//nN1N6fc+vbtS11IruzcuZN//OMffPrppyfkfsaYKOA14FVr7YN+h9YHVf0j8ANwo7U2z3fuz8BnwN3AX3xlXYExwDPW2j/6zt1gjIkEJhhjXrHWJlXZA0mNpklSIiJ1lDGG119/nXbt2hWuzynhY+/evfz5z3/mt7/97Ym65T1AM1w2NCRfENsHWOQFpwDW2s9xQav/O2evAwzwRtBl3gCaAMc+80zqDGVQRUTqsG7dulXJMlFy/AYOHFiuV9FWokuBJCDaGLMS6Ob7vgw3vjTVVwawLcT524CL/b53AxKstQdD1POOi4SkAFVERKR2OjvEG7ASgicy+YkCmgL/A7wAPIrLlk4BuhljLgEifXVDdc0n+R3H97lYPWttujEmJ6iuSAAFqCIiIrVTqJmvU4DJJdSvh5u1P8VaO8NXtsEXTL4EDPKrW9Ig4ODy0gYL1/6BxFJhClBFRERqp2uBnUFlCaXUTwTOAdYElX+EC1B7Af/xlYXKfrYiMGOaCPQMrmSMaQY0JHQWVgTQJCkREZHaaqe1dnvQVlL3PoQeVwpuohNAARDn+xxqfa/ufscBYoE2xpjTQtQjqK5IAGVQa4GKrrt6XOuniohIbbMUuBcYCvzbr/xq336TtfZXY8yXwO3GmD9Za/MBjDEXAufiMq2elcB04E4CVwYYDWQCxd/EIOKjAFVERESw1q41xrwPTDTG1AM2Ab2BScAqa+2/fFXHAR8D/2OMmY9bqH8GLiP6ht/1thtjFgBTjDH5uIX6r8QFwRO0BqqURgGqiIiIeG7GBaT3+vb7gRdxk6sAsNZuMMZcDUwF3qfoVadP+L9FyudB4FfgYeA0YDcwVq86lbIoQBUREREArLWZwFO+rbR6H+OyqGVdLxe3asDkSmie1CGaJCUiIiIiYUUBqoiIiIiEFQWoIiIiIhJWFKCKiIiISFhRgCoiIiIiYUUBqoiIiIiEFQWoIiIiIhJWFKCKiIiISFhRgCoiIiIiYUUBqoiIiIiEFQWoIiIiIhJWGlR3A6T6nD91La/vOUJv4Ks9R/jd1LXlPvffE6+suoaJiIhInaYMqoiIiIiEFQWoIiIiIhJWFKCKiIiISFhRgCoiIiIiYUUBqoiIiIiEFQWoIiIiUucYY0YbY6wxJssYc2aI4xuMMXHV0TZRgCoiIiJ1WyNgenU3QgIpQBUREZG6bDUwyhjzm+puiBRRgCoiIiJ12SwgEZhZ3Q2RInqTVBkG/7+NNGyzu/D7yVlptMhI5WjjZtXXKBEREaksR3Fd/HOMMZdbaz+t7gaJMqgiIiIirwC7gJnGGFPdjREFqCIiIhKCMeYe3yz3tBDHehljPjHGpBljko0xy4wxZ5VwnYeNMTuMMdnGmJ+NMZOMMRFV/wTlZ63NASYAvYGbqrk5ggJUERERCWKMiQL+BOwPcSwa2AA0xAVzdwOdgX8aY9oE1X0GmAMsA64C5gPjgXlV2PyKegf4Bngu3ALoukhjUEVERCTYK8D/AknAjUHHpgLZwDBrbSqAMeZr4EfgcWCcrywSl5V83Vo73nfuBl/wN90Y85K19tsqf5JystZaY8w44GPg3upuT12nDKqIiIgUMsbcDlwGPBjiWANgGLDUC04BrLV7gPXACL/qQ4DGwBtBl3kDMMB1ldvy42et/QQXoE4Emldzc+o0BagiIiICgDGmLfAS8JS19pcQVc4GmgDbQhzbBnQyxjT2fe/m28f6V7LWHgAO+x0PN+OANsAF1d2Qukxd/CIiIrXT2SEmpCdYa+NLOWc+8D3wlxKOR/r2SSGOJeEyoy2BA7662dba9BLqRoYor3bW2n8bYxYDo6q7LXWZAlQREZHaaWWIsinA5FCVjTE3AMOB8621toxrl3bclvD5WK5R5ay1MUBMCcduA247ke2RQApQRUREaqdrgZ1BZQmhKhpjmuNm1s8F9htjWvgONfQdbwHk4t64BKGzn61wQWey73si0NgY09RamxGi7tflfxSpaxSgioiI1E47rbXby1m3NXAq8JhvC3YEl5G9EcgEuoeo0x34yVqb5fse61e+2atkjDnNd7+4crZN6iAFqCIiInIQGBii/CncjP6hwGFrbZ4x5n3gemPMk9baowDGmPa+81/0O3c1kAWMxi9A9X23wIpKfgapRRSgioiI1HG+rOeG4HJjzGgg31rrf2wSsAVYZYyZgVtKaipuZv5sv2smGWOmA9OMMUnAWqAPbgzsX8NpDVQJP1pmSkRERMrNWrsDGIAbk7oEN9HoJ+BSa21CUN3ngEdxQwPWAg8DM4CHTlyLpSZSBlVERERCstaOxnXJB5d/DVxRzmu8DLxcqQ2TWk8ZVBEREREJK8qgSoWcP3Vthc7798QrK7klIiIiUtsogyoiIiIiYUUBqoiIiIiEFQWoIiIiIhJWFKCKiIiISFhRgCoiIiIiYUUBqoiIiIiEFS0zJSeUlqcSERGRsiiDKiIiIiJhRQGqiIiIiIQVBagiIiIiElYUoIqIiIhIWFGAKiIiIiJhRQGqiIiIiIQVBagiIiIiElYUoIqIiIhIWFGAKiIiIiJhRQGqiIiIiIQVBagiIiIiElYUoIqIiIhIWGlQ3Q0QKY/zp66t0Hn/nnhlJbdEREREqpoyqCIiIiISVhSgioiICMaYy40xfzPG7DDGpBtjfjXGrDTGXBCibi9jzCfGmDRjTLIxZpkx5qwSrvuw75rZxpifjTGTjDERVf9EUpMpQBURERGAB4AOwBzgamAs0BbYZIy53KtkjIkGNgANgZuAu4HOwD+NMW38L2iMecZ3vWXAVcB8YDwwr2ofRWo6jUEVERERgIestfH+BcaY1cBPuKDyU1/xVCAbGGatTfXV+xr4EXgcGOcriwQmAK9ba8f7zt3gy55ON8a8ZK39toqfSWooZVBFRESE4ODUV5YGfAucAWCMaQAMA5Z6wamv3h5gPTDC7/QhQGPgjaDLvgEY4LrKbL/ULgpQRUREJCRjzClAL2C7r+hsoAmwLUT1bUAnY0xj3/duvn2sfyVr7QHgsN9xkWLUxS8iIlI7nW2MCS5LCJUpLcU8oBnwnO97pG+fFKJuEi4z2hI44Kubba1NL6FuZIhyEUABqoiISG21MkTZFGByeU42xkwDbgMettZ+HXTYlnKqLeFzafVEAihAFRERqZ2uBXYGlSWU50RjzCTcBKdnrLV/9juU6NuHyn62wgWdyX51GxtjmlprM0LUDQ56RQopQBUREamddlprt5ddLZAvOJ0MTLbWPh98TSAT6B7i1O7AT9baLN/3WL/yzX7XPw1oDcQda9uk7lCAKrWaXpEqIlJ+xphnccHpdGvtlODj1to8Y8z7wPXGmCettUd957UHBgIv+lVfDWQBo/ELUH3fLbCiCh5BagkFqCIiIoIx5jHcGqergQ+MMRf6H7fWbvJ9nARsAVYZY2bglpKaipuZP9uvfpIxZjowzRiTBKwF+uAC4L9qDVQpjQJUERERARju2w/xbcEMgLV2hzFmADATWALk4Rbxf9xaGzDG1Vr7nDHmKPAQbhH/g8AMilYFEAlJAaqIiIhgrR1wDHW/Bq4oZ92XgZcr2Cypo7RQv4iIiIiEFQWoIiIiIhJWFKCKiIhIWDPGnGSMmWWMWWuMSTDGWGPM5BLq9jLGfGKMSTPGJBtjlhljziqh7sPGmB3GmGxjzM/GmEnGmIgQ9doaY2KMMYeNMRnGmC+MMYMq+TErzBhzuTHmb75nSTfG/GqMWWmMuSBE3Rrx+2gMqkgIWp5KRCSsRAL3Av/BLU91T6hKxphoYAOwFbiJohUG/mmM6ek/icsY8wwwDTdpy1thYDoQ5buXV68RsA5oAYwF4nGTvlYbY66w1m6szAetoAdwv9Ec4FugDfAYsMkYc5W19lOoWb+PAlQREREJd3uAltZaa4xpTQkBKi7YygaGWWtTAYwxXwM/4lYRGOcri8S9Ket1a+1437kbfNnB6caYl/yWwRoDdAMustZ+4Tt/PS5YngX0q9xHrZCHrLXx/gXGmNXAT8B43CoLUIN+H3Xxi4iISFizPqXVMcY0AIYBS73gy3fuHmA9MMKv+hBc9vCNoMu8gVtO6zq/shHA917w5btmHvAm0NcYE3XsT1S5goNTX1kaLpt6BtS830cBqoiIiNQGZwNNgG0hjm0DOhljGvu+d/PtY/0rWWsP4F440M2vuFsp1wToWtEGVyVjzClAL8B73W2N+n3UxS9SiTR2VUSk2kT69kkhjiXhMn8tgQO+utnW2vQS6kb6fY8s5ZoE1Q0n84BmFL0UoUb9PgpQRcKAAlsRkUpT2lAAW8Lnsq5xLHWrnTFmGnAb8LDvpQr+asTvoy5+ERERqQ0SfftQGbtWuEAp2a9uY2NM0xLq+mcEE0u5JoTOHlYbY8wk3ASnZ6y1f/Y7VKN+H2VQRWowZV5FRArtBDKB7iGOdQd+stZm+b7H+pVv9ioZY04DWgNxfufGlnJNgupWK19wOhmYbK19Puhwjfp9lEEVERGRGs83c/x94HpjzEleuTGmPTAQWOZXfTWQBYwOusxoXCZxhV/ZciDaGFO4XJJvRvztwGZr7f7Ke4qKM8Y8iwtOp1trpwQfr2m/jzKoIiIiEvaMMUNxk3684KqLMeZG3+cPrbUZwCRgC7DKGDODooXoDwOzvWtZa5OMMdOBacaYJIoWop8M/NVvjU+Av+EWnv8fY8xTuIXoHwTOBa6oimc9VsaYx3DPuRr4wBhzof9xa+0m38ca8/soQBUREZGa4C/AmX7fR/o2gI7AbmvtDmPMAGAmsATIwy1S/7j/W5IArLXPGWOO4oKrx4GDuLcmPRdUL9v32s5ZwFygKe5NTEPD5C1SAMN9+yG+LZgBqEm/jwJUkTpIY1dFpKax1nYoZ72vKWfmzlr7MvByOeodAu4szzWrg7V2wDHUrRG/j8agioiIiEhYUYAqIiIiImFFAaqIiIiIhBUFqCIiIiISVjRJSkTKraKTqypKk7JEROomBagiErYUEIuI1E3q4hcRERGRsKIAVURERETCSlh18fveDfss0BM4H2gNTLHWTi7n+W1xbzIYhnuTwX+ACdbadVXSYBGpVTSkQKT288UKDwLzrbXx1d2ecBPzRZKbAAAgAElEQVQuv0+4ZVAjgXuBRsCKYznRGNMIWAcMAsYC1wKHgNXGmMsquZ0iIiJSM7XBvZO+TXU3JEyFxe8TVhlUYA/Q0lprjTGtgXuO4dwxQDfgImvtFwDGmPW4LOosoF9lN1ZE5HhUVsb2pKx0kpueTGrj5pVyvWC7Z1xTJdetCh2e+qBC59WkZxSpC8IqQLXW2uM4fQTwvRec+q6XZ4x5E3jeGBNlrf31uBspIiLlUtFgsS5QIC1SurAKUI9TN+CfIcq3+fZdAQWoIiLHqC4EmnXhGUVqktoUoEYCSSHKk/yOh+QbEBw81qIXQO6R/QGFWTkZZGUepV7YDd+tmN3ZGTTx7evt/7G6myMiFZBFAVmZJ5HTsGl1N0Wq2Pbt28us89NPP3kf+xljqrQ9NdTZ3l6/T0jRvn3VjBkqp9oUoAKUNkSgtGMP4gYEF3N4+XPH1aBwN9L7cHgPLJ1cjS0REZGydPvbMVVfUEXNqC1WVncDwlxnYHN13bw2BaiJhM6StvLtQ2VXPfOB/wkqGw688MQTT3DxxRdXQvMEYO/evTzyyCO8/PLLtG/fvrqbU6vot60a+l2rhn7XypGcnExqampA2ccff8z777/PjBkzGDZsWDW1TGqqn376ieuuuw4grjrbUZsC1Fige4hyr6zEH9q3zlfAWl/GmLMBLr74Yq699trKamOd53VPXX755XTt2rWaW1O76LetGvpdq4Z+1+OXnw8//wznnANQgFtlcUPh8ejoaP22cjxyqvPmtWMgpbMciDbGFC4nZYxpANwObLbW7i/xTBERkRrCWsjOhp07YdAgcCPYsvAPTkVqurALUI0xQ40xN+K62AG6GGNu9G1NfXUWGGPyjDFn+p36N2A78D/GmFHGmCuAd4FzgXEn8hlERESqQkEBZGXBrl3w5JOwdy+4AFWL1NREaWlpPProo7Rr147GjRvTs2dP3nnnnXKdGx8fz+jRo2ndujVNmzalf//+rFtX/MWZOTk5TJw4kY4dO9KwYUPOPPNMnn76aTIzMyv7cSpVOHbx/wXwDzxHUjSXpyOwG6jv2wqn31lrs40xg3CL8s/Fvep0KzDUWrux6pstIiJSNax1wWlmJuzZA/PmwcqV4Lr2C3D5Galprr/+erZs2cKMGTPo3Lkzb7/9NrfeeisFBQWMGjWqxPOys7MZNGgQycnJzJkzh7Zt2zJv3jyGDBnCJ598wmWXFb1A89Zbb+XDDz9k4sSJ9OnThy+++ILp06ezfft23nvvvRPxmBVjrdUWYgMuAezGjRutVJ5Dhw7ZSZMm2UOHDlV3U2od/bZVQ79r1dDvWn75+dbm5lp75Ii1sbHWTppkrS9ktZBvId7C7RaXSi3c9PcrvH3wwQcWsG+//XZA+eDBg227du1sXl5eiefOmzfPAvbzzz8vLMvNzbVdunSxffv2LSz74osvLGBnz54dcP7zzz9vAbt27dpi146Li/P+DXW11RiHGXtcL2+qvYwxXYG4uLi4EgeZFxQUcOjQIbKzsykoKDixDawF6tWrR6NGjTj11FOpVy/sRpuIiFQrLwzNzXWZ019+gQ0b4OGHvRoFuDhiF25FoECl/f2S6ve73/2Od955hyNHjtCgQVGH9uLFixk1ahSfffYZF110UchzBw8ezL59+9ixY0dA+QsvvMD48eP55ZdfiIqKYvbs2Tz++ON89913REdHF9aLjY2lR48e3HfffbzyyisB19i+fTvdunUD6GatrbbUvKKCCiooKGDv3r0kJyeTk5ODAv1jY60lJyeH5ORk9u7dqwBfRMRPQYHbcnMhPR327YMvv4Q//MGr4f3NyQIOV08j5bjExcVx3nnnBQSnAD169Cg8Xtq5Xr1Q53qrZOTkuIn4jRo1Cqjnfd+2bRvhKhzHoNYIhw4dIjMzk1atWtG2bVv0NopjZ60lPj6epKQkDh06xOmnn17dTRIRqXYFBUWZ04wMNxHqu+9g+nTIy4PAnvwjwLfV2VypoMTERM4666xi5a1atSo8Xtq5Xr3Szu3SpQsAn332GR07diys969//avMe1Q3BagVlJ2dTf369RWcHgdjDG3btiUlJYXs7Ozqbo6ISLUqHFnqy5ympcGvv8KPP8Ls2W7NU19N3z4XyAS+DrhOO0DrKtYMpcUPZcUW5Tl36NChdOrUiXHjxnHqqafSp08fNm3axPjx46lfv35YD68L35aFuYKCAurXr6/g9DgZY6hfv766+EWkTvPv0s/KgtRUF5zu3AkxMfB1YQxq/fbpQBrwz4BrFc/JSTiKjIwMmcFMSnIvvgyVIT3Wcxs2bMhHH31E+/btufLKK2nZsiU33ngj48ePp2XLlkRFRVXGo1QJBajHQcFp5dDvKCJ1lZcxtdZ13+fkuOD0wAHYvRveew8+/LCwtt9WAGTgcqWBYxVbnrjmy3Ho3r073333HXlu3Eah2NhYAG+iUonnevXKOrdTp0588cUX/PLLL2zbto34+HhGjhzJ4cOHufTSSyvjUaqEAlQREZFq4AWmXuY0M9MFp/Hxbsb+mjXw97/7n+E/GTcDyAYCZ3EDnFa1zZZKMmLECNLS0li6dGlA+cKFC2nXrh39+vUr4Ux37o4dO9i8eXNhWV5eHm+++Sb9+vWjXbt2xc6Jioqie/fuNG3alD/+8Y80a9aMMWPGVN4DVTKNQRURETmBvLGm3paX57r1MzJccLp/v1tOavXqgLP89hY39jQT2Fns+s2ruP1SOYYOHcrgwYN54IEHSE1NpVOnTixevJjVq1fz5ptvUr9+fQDGjBnDwoUL2blzJ2ee6d5jdPfddzNv3jxGjhzJjBkzaNu2LfPnz+f777/nk08+CbjPrFmzOO2002jfvj2HDh3i3XffZcWKFSxatEhd/FLzxMTEYIyhcePG7Nmzp9jxAQMGlNr94DHGMHny5CpooYhIzRMcmHpjTjMz4dAh17X/5Zewdq3r4vedRWD2NNe3JQH/Cbj+GUCTqn8MqSTLli3jjjvuYOLEiQwZMoTNmzezePFibrvttsI6+fn55OfnByxn2ahRI9atW8fAgQN5+OGHGT58OAcOHOCjjz4KeIsUQFZWFlOnTmXIkCHcf//9ZGRksGHDhlLfVBUOlEGVUmVnZzNhwgQWLVpU3U0REamxvKDU+5yXVzTmNCMDEhLc9p//uK79EMMLKQpUs3Dd+/uALwNqdEEBak3SvHlz5syZw5w5c0qsExMTQ0xMTLHyU089lYULF5Z5j4kTJzJx4sTjaWa1UAZVSjVkyBDefvtt/vOf/5RdWUREivHPmhYUFGVOvaWkEhIgKQl27IBPPgG/YYUUz57mU9S9vw8InGDTFghckl2kZlKAKqV68skniYyMZNy4caXWS01N5Xe/+x2RkZE0b96cIUOG8MMPP5ygVoqIhCdvIlRwt35eHhw9ComJLjj96SdYvx42bfI/2z849faZuO79NFyAGqgVClCldlCAKqU66aSTmDBhAmvWrOHTTz8NWcday3XXXceiRYt47LHHWL58ORdeeCFDhw49wa0VEQkPXrbU++x16XuZ09RUF5ympLjXmH7+OXz1levuL1k+LmOaAyQAu4vVaIPG7kntoH/HVeHRR2Hr1upuhdOzJ7z00nFd4v7772fOnDmMGzeOL7/8sti6pWvWrGH9+vXMmTOHRx55BIDBgwfTsGFDnnnmmeO6t4hITeMfmFoL+flFS0l53frJyS5I/eUXtwh/XJz7XCRU9jQPN/40BzgE7Aq4b3sgEqhfVQ8mcgIpQK0KW7fCxo3V3YpK07BhQ6ZPn86oUaN49913ufnmmwOOr1+/HiBg1iHAqFGjFKCKSJ0RPBHKC06tdYFpdjakp7uufW+906+/dn8yvg54W2nwuFND0dJS+bg3SB0CAodRdQSa4aZPidR06uKvCj17wmWXhcfWs2elPNItt9xCr169eOaZZ8jNzQ04lpiYSIMGDYiMjAwoP+00LRctInVDScFpfr6bqZ+d7brvjx512dOEBPjmG9i+Hf75z1Kv7Nvn4kLPXOAIkEhgEOsmSDUhPDJPU6dOpUuXLuV6jfUnn3xC//79adq0Ka1bt2b06NHEx8eX+17vvPMOPXv2pHHjxrRr145HH32UtLS0gDqjR4/GGFPitilw8C8A7733Hg0aNCAhIaHcbQklNzeXKVOm0KFDBxo1akR0dDRz584t17lbt27lmmuuoX379jRp0oRWrVrRv39/3nzzzZD1v/nmG6644gqaN29OixYtuP7669m1KzDT/sMPP9CwYUO++eab43quqhYO/45rn+PsUg9HxhhmzpzJ4MGDee211wKORUZGkpeXR2JiYkCQevDgwRPdTBGREyo4MIWirGl+vht3mpnptqNH3XbkiOvSj411QWrQFQmdPc3y2ycDB4q1pQVwMi6/Wp3279/PrFmziImJoV690vNgGzduZOjQoVxzzTWsXLmS+Ph4xo0bx6BBg/jqq69o1Kj0KV9vvfUWt99+O/fccw8vvvgiP/zwA+PGjePbb79l7dq1hfWeffZZ7r///mLnDx8+nEaNGtGnT59ix5YuXcqll15KmzZtyvnkoT344IMsWrSIadOm0adPH9asWcPYsWM5evQo48ePL/Xc5ORkzjjjDG699VaioqJIT0/nrbfe4o477mD37t1MmDChsO6OHTsYMGAAPXv25N133yUrK4uJEydyySWXsHXr1sLn6Ny5M7fddht/+MMf2BjOvb3WWm0hNqArYOPi4mwoO3futDt37gx5rDZ44403LGC3bNkSUD548GDbtm1be8EFF9iuXbtaa6396KOPLGDnzJkTUPe5556zgJ00aVKp96rtv6WI1E4FBdbm57stL8/a3Fxrs7LclpZm7ZEj1h44YO3u3dbGxlr7+efWfvCBtS+8YO0NN1jbuXPwO6UKLOQHbQUWMi0kWPjZwhYLr1i40ItkLWBPATsW7HqwMb6ykv5+VbUnn3zSRkVF2fz8/DLr9unTx3bp0sXm5uYWln322WcWsPPnzy/13Ly8PHv66afbK6+8MqD8rbfesoD98MMPSz1/w4YNFrATJkwodiwnJ8e2aNHC/vnPfy7x/EmTJtkzzzyz1HvExcVZY4x9/vnnA8p/97vf2SZNmtjExMRSzy9Jv3797BlnnBFQNnLkSNu6dWubkpJSWLZ7924bERFhn3zyyYC6X331lQXsZ599FrLNvn9XXW01xmHq4pdjMnPmTBISEvjab8DUlVdeyaWXXsqTTz7JCy+8wMcff8zkyZNZsGBBNbZURKRqeDP0g7v0vd5sb8Z+drbbjh51E6NSU+H77123/s6dELgSnw2+jU8BRV37ubhxqIcJHn96OtASt8RU4DTWEysnJ4cFCxYwatSoMrOnv/76K1u2bOGOO+6gQYOiDt2LLrqIzp07s3z58lLP37RpEwcOHOCuu+4KKB85ciTNmzcv8/wFCxZgjOHuu+8udmzdunWkpKQwYsSIUq9RlhUrVmCtLdbGu+66i8zMTFYHvs+23Fq3bh3wm+Xl5bFq1SpuuOEGTj755MLyM888k4EDBxb7LS644ALOO+88XnnllQrd/0RQgCrH5Pzzz+fWW28NKKtXrx7vvfcet912G7NmzeK6667j888/58MPP6ymVoqIVI1QY039A9bsbBecZmW5LS3NTYxKTXUB6Y4dbrZ+6IVegoNUQ9HSUrm42ftHcF38SQE1z8DN4G9G9f5h37x5M4mJiQwcOLDMunFxcQD06NGj2LEePXoUHj/W8yMiIoiOji71/JSUFJYsWcKgQYPo2LFjseNLly6lf//+tGvXrsznKKuNbdq0KTYnw2tzWc/oKSgoIC8vj4SEBObPn8+aNWsC1iffuXMnmZmZJf6WP/30E1lZWQHlAwYM4KOPPvJ6jcOOAlQJafTo0Vhr6d27d7Fjb731FtbagP9hnXLKKSxYsIAjR46Qnp7O2rVrOffcc7HWMnny5BPYchGRqhEqOC0ocFt+vgtOrQ0MTjMy3Fqnu3a5rOmhQ/DFF8WuTOjg1Mue5lC0/mk6UHx8fyQue1qP6l1m6gvfw/Xq1avMuomJiQC0atWq2LFWrVoVHq+K8xcvXkxmZiZjxowpdiw/P58VK1Zwww03BJTn5eUFbN4EsOBy/4AvMTExZPuaNWtGw4YNy3xGz4MPPkhERARt27blD3/4Ay+//DL33XdfwH285w7WqlUrrLUcOXIkoLxXr14cPnyY77//vlxtONE0SUpERKQU/oGp/3f/Ln1vxn5urgtOMzLc5q11um+f22/a5AJZv6sF3c34lXnZ0wLf52wgleAJUi1xmdNmQEOqt4t///79GGNo3bp1YVl+fn5A0FavXr2A7v/gtbXLKi9vvdLOX7BgAZGRkSG78Ddu3Mjhw4e5/vrrA8ojIiJCXiu4/I033mD06NHlakd5n3H8+PHcc889xMfH8/777/P73/+e9PR0Hn/88XJfL/hY27ZtATfUIjo6ulztOJEUoIqIiJQgOGvq7b3gNDfXffbGnWZkBHbt79/vAtNdu+C771wGNcRdgj572dN8XNe+t8/GdfHvDji7BXAS7g96df9Rz8zMJCIigvr1i/K4gwYNCpgtfueddxITE1O46kuoLGJSUlLIbKA///NPPfXUcp+/bds2vvrqK8aOHRtylYAlS5ZwwQUX0KFDh4DyLVu2BHx/7bXXWLVqFe+9915Auf+QgcjISLaGGM+Rnp5OTk5Omc/oad++Pe3btwfg6quvBuDpp5/mzjvvpE2bNmX+lsYYWrRoEVDeuHFjwP3fLBxV979lERGRsBMqaxp8LC8v8A1RGRluzdOjR93n/ftd5vTHH133/rffFrsLxZeU8ngZUy+Lmgek4F5xGrgu52lAY6A5rnu/OjOorVu3Jicnh/T0dJo1awbAq6++ytGjRwPqAHTr1g2A2NjYwqDLExsbW3i8JN27dy+s26VLl8LyvLw8duzYUWy+hMebwHvPPfcUO1ZQUMDy5csL34roL3jI26pVq2jYsGHIoXD+bXznnXc4ePBgwDjU2NhYgDKfsSR9+/bllVdeYdeuXbRp04azzz6bJk2aFF7XX2xsLJ06dSoMSD1JSW4cs3+2O5xoDKqIiIif0rr0/cec5uW5gDQnx61z6gWnmZnuLVF79riJUXv3QlDyjdK79gsoyqDmURSoHsVNjkoNOPN0XHDaGPdHvToDVK+reOfOnYVl5557Lr179y7cvMxkVFQUffv25c033yQ/P7+w/qZNm/j++++LdbEH69evH6effjoxMTEB5UuWLCEtLS3k+dnZ2bz55pv07ds3ZHD4+eefc/DgwWLjTyvq2muvxRjDwoULA8pjYmJo0qQJQ4YMqdB1169fT7169TjrrLMAaNCgAcOHD2fZsmUB/zGwd+9e1q9fH/K32LVrF/Xq1ePcc8+tUBuqmgJUERERSl4+yv9zQYELRL0u/ZycwElR2dluIf69e2H3bjhwALZtK3anoL3HCy297GkOLlCtD2Tg3h4V+IalSOAU3DjU+lTvBClwM8OBkG9mCmXmzJns2LGDkSNH8sknn/D2229z00030a1bt4Clmfbs2UODBg0CJjXVr1+fWbNmsXr1au677z42bNjA66+/zgMPPMDgwYNDBn8rVqwgKSkpZPYUXHDbrVs3OnfufAxPXbKuXbsyZswYJk2axJ/+9Cc2btzIM888w2uvvcaECRMCuvinTp1KgwYNAoZD3HvvvTz++OO8++67bNy4kaVLl3LLLbewaNEiHnvssYCXCEyZMoWMjAyGDRvGRx99xPLly7nmmmto3bo1jz32WLG2bdq0iZ49e9KyZctKedbKpi5+ERGp80rr0veCVm8ylLVF3fpZWa48Pd0Fq0lJLjDduxcSE926p8nJIe/o99k/5+mfPfX2+bg3SKUD+wOu0gY3/rShb6vurNMZZ5zBJZdcwsqVK7n33nvLrD9gwAA+/PBDJk6cyPDhw2natCnDhg3jj3/8Y8D4UGst+fn5AZlWgNtvv5369eszY8YMYmJiaNWqFf/93//Nc889F/J+CxYsoFmzZtxyyy0hjy9btizkuqjHY/78+URFRTF37lwOHjxIhw4dmDNnDg8//HBAvYKCgmITyvr3788bb7zBwoULSU5Opnnz5vzmN79h0aJF3H777QHnR0dHs2HDBsaNG8eNN95IgwYNuPzyy/nTn/5U7G1YaWlprFu3jmnTplXqs1YmE67rX1U3Y0xXIC4uLo6uXbsWO+6929ZLr0vF6bcUkepUnuDU69K3tqhbPzfX7VNT3T45GX7+2U2ISkhw3frffVfsboR+lam3z6MoGPW69zOAH4HPgbfxX2aqH3AZ0APohuvu/19gJG6NzVB/v6ra0qVLufnmm9mzZw9RUVEn/P4V9eWXX9KvXz+2bdtWOL61tlqwYAFjx45l3759xTKo27dv94Y/dLPWbq+WBlL9/7ElIiJSLcrq0vfGm3rd+f7BqbelprpANSXFzdb/5ReXOf3hB5dJDbpj0HcTtLcUZU2tb29wAWoqbvxpUXAagcugRvi2+kFXqy7XX389ffr04YUXXqjmlhybvn37Yq2t9cFpXl4eM2fO5Omnnw7b7n1QgCoiInVQWVlT/8lQ3pJSwZnTo0dd4JqS4mbsHzzoMqd797qZ+4Gr95Q07tT/eAFFrzT13ZR83OtNUwh+e1QUbvxpY1yAWt0TpDzGGF5//XXatWtXuJi9hI99+/Zx++23hxyXGk40BlVEROqM4MDUKwMwpmiMKRQFp95SUl5wmp3tlpHKzXXd+omJcPiwmxC1f79bUir0C4KCu/b9Z+57GVNv818HNQ2XQQ1cXupU4GTcAv0RhNcf9G7dulV4CSWpWh07dmTixInV3YwyKYMqJdq8eTMjRoygffv2NGrUiFNPPZX+/fuH/X91iYiEUtLyUR4vOPWfqe8Fp9nZRVtGhtunp7tJUYcOuSWl9u93+717i9056LsJKveyp3kUde+D67TPxi0vlQ4UrfIfgXu1aTNcFrU5LkDVH3WpLfRvWUL64IMPuOiii0hNTWXWrFmsXbuWOXPmcPHFF/OPf/yjupsnIlJuXiAaHJwa4zb/8abeZChvbKqXOfVm8GdmuuA0K8t15ycluYxpfLzLoO7aFZyhDe7aD9UJ7z/2NIfANVAzcN37h4Gi5QAicdnTRhR179f3fRapDcKpR0DCyKxZs+jYsSNr1qyhQYOifya33HILs2bNKvXczMxMmjRpUtVNFBEpU0ld+t5ryf279L0A1SsvKHDBqBekektK5eS4LvzERBecpqW5LOr+/eUddxrctR+cPbW4UDMP172fjeveLxqDehpu7dMmhNf4U5HKogyqhJSYmEjr1q0DglNPvXpF/2w6dOjAsGHDWLZsGeeffz6NGzdmypQpJ7KpIiIhhQpO/fkHp16G1BgXkObnu+DUmxiVne3qZGa6wDQ+3mVLve8JCW4Gf4hW+H0O7tr3PnsBarbfsQJc134aboH+IwFXbYrr1je49U8b+T7rj7rUFsqgSkj9+/fnr3/9K4888gi33XYbvXr1IiIidOfRN998w3fffceECRPo2LFj4fuXRUSqQ1lZUwg9GcqYwLdE+WdPve/JyW62/p49rvzgQdi3zy0rFXTHoO/+S0oFZ0+9Ln3/Ol73fhqui79o1lUL3B/vCNwi/fVwM/mr+y1SIpVJAWoVePRR2Lq1ulvh9OwJL7107OfNmDGDHTt2MHfuXObOnUtERAR9+vRh+PDh/P73v6d58+aFdePj4/n2228r7dVwIiIVVVZw6r/uqffZC06zslyw6o019TKp+fnuWGKiC0j37y8ag7pvn+vmD1xNqaRxp/7BqXe8ADfuNNuvzAtQM3GTo5J9eyeSopn7jXxbPZQ9ldpFAWoV2LoV/F6lWyNFRkbyz3/+k6+++op169bx1VdfsWHDBp5++mleffVVtmzZQuvWrQHo0aOHglMRqVb+C+wH8x9v6tXxz5pa67Kj3qL8mZlFgan3OtMjR1xAun+/m71/+HBR9jQtLaAlQfvSglP/yVHe8fq4paXSg7YUwE2MakHRBKlTcF38HgWqUlsoQK0CPXtWdwuKHG9bevfuTe/evQHIzc1l3LhxvPjii8yaNatwstTpp59+vM0UEamwinTpe+NN/d8SVVDgglNvPKq3vJQXnB486ILRlBQ3e3/fPjcW1e+ux9JqAmft+49FzcLN2j+CW/80FRe0uklRzXBBqre0VEOKJkqJ1BYKUKtARbrUa4KIiAgmTZrEiy++SFxcXGG5MZo7KiLVo6SJUPXqFR3z7373D069jKl/t773OT/fjTE9csQFo/HxLjBNSXFlBw64mfsltMq3L6tr39vy/I5l4ALTFN8+CTdZKgNwGdPWuLGn/kGpt9f/N5baQv/BJSEdOHAgZPl3330HQLt27U5kc0REAniBZ0ld+v5rm3r1/bv1vQX4vXVPMzMDF+fPyirKlCYlufGnR4+64NRbUqr8XfvFWk/R2FPrd04GLlPq3/WfjTc+tSVu9n5TAsee1sdlmxScSm2iDKqEdNVVV/F//s//Yfjw4URHR1NQUMDWrVuZPXs2zZs3Z+zYsdXdRBGpo8rq0veCUY8XqAYvKeXtvfVNvQA2JwdSU4uC019/dcGs9+ao/fuDs6dlBaelZU9zKVrF1OImRmXigtIU3AQp94rTprgM6km4WfsNKVqcX9kmqW0UoEpIEyZMYOXKlbz44oscOHCA7OxsTj/9dK644gqefvppzjvvvOpuoojUMaVNhArVpR+cZfXeDGVtYHDqjTf1D06PHCnKllrryg4edJOjfv45oFVBLQnOYwYHp1A8e+qdE4ELWHNw3fo5uCDVRdutcN37DXEBalOK1kH1rqBAVWoLBagS0k033cRNN91UZr3du3dXfWNEpM4rbdF9r0s/VHCan18UvObmFi3E761r6sHvRXMAACAASURBVB+c5uW5bvykpKJxpgUFruzwYffdN8rJa1UJn6HkDvd8iiZFedlTr9z4tiO4mfupvvJ0WuImRTXCZVDr4yZMea86Nb4yBahSWyhAFRGRsFZScBocmPpnSv2DU2+8Kbgg1Fs6ygtKvSEB3hjTlBSXLc3NhYyMoklSe/e6DGuIFnotCtqXlj0t8Cv3RpJ6ZQ3xJkW5rv7MwmWlGuEyp163vjcO1VD0B11jUaU2UIAqIiJhqTxZUyiale+dE7ykVE5O0ZJS3tJR3jEvs5qWVhSgHjhQNHHq6FEXnB444I75tS5oX1pw6pXnEZg99V5O6n3OxmVMs3zlbhxqU/JoiJsk1YKioNRbqB/0FimpfRSgiohI2AkVnHpBaUld+v6To7xjXubU69b3H4PqHffWNo2Pd1t2tsuwpqW5V5p6rzb1a11Qa8vKWYbKntajKGPawFeegwtOc3HBqVv/tDHu7VENKHqlaSNcntVS9Idc3ftSmyhAFRGRsFFa1tS/TqgufY83az/Pt7yotxi/F6T6r3V69KgLThMSXHCaleUC1JQUlzVNTIRdu/xXBQjutvcPTkvKnkLR2FMoypjW96ufTdErT9PxZvg3IotWuG79k3CL9HvZU69r3z8wVfe+1BYKUI+DLev/i0q5WGu12L+IHFOXvv85wcGq/xqo3iQoL0D1yvLzixbeT0hwk6Cys12d3Fw3ez8tDX76yQWtvqv7tza4hSU9lW8fnD31yvMo6t7Pws3ez/bt02hOEk1xE6Sa4P5o18MFqt4SU16ZSG2if9MVZIyhwP8/2aXCCgoKFKCK1GFeUBmqS9/bQo03heKL8QdnSHNyirry/ddDTU1165omJLjPmZmuPCfHrXuanAxxcf6Z2VDBaajF+EPV88+e5lA0pcnLhXpjT/N8x10Xfz2O0pBMIoCTKVqQ3xt7GoHWQJXaS/+uKygiIoK8vDzy8vLKriwl8n7DiIiI6m6KiFSDkoLTUHW84NR/wX3/Mane+FLvszfjPjs7MKuanOyyo/HxLkhNSXHXyMx03fppabBzpzs/Pb1Ya3z7kt4Q5c+r4589rU/R+qc5uKA0H7c4fxpFQWoyzbGcQgEn48aeNvftva7P+hSNQw3u6hep6fTvuYJOPvlkAOLj49XVX0HWWuLj44Gi31NE6o6SsqbePri7HooyoP6TobzMp/cK0+xstxnjuueNKaqfmuqWjkpIcAFpUhJERLjzvbKff3bnHz1a2NKglocad1rs6XxbPt5C+0V778WkDXEBaRZFXfyZQC71gZM5+v/Ze7dQybZ1S+vrfVwjYl4yc1322XtXHYVTIIKCoCI+WiqIiFD64ikU66UQFErEF33yjqCIWuINFJ/0KEIV4oNIFRzwrfBFS8GDdc4p92WttdfKnNe4jVvv3Yc//hg9RkbMOTNz7b0z5+4NghgxRh/XGWtFy/b/rXUWSDm/RmaRKhiV1HJ3tPRDnvAckXpQ3xPn5+fM53Pu7u5YrVZkWZbK1O+AEALOOZxzzOdzzs/Pf92XlJCQ8CvCQ7mm+v5QST8+hpb1rT2cDSrLhGwqOTVGlFIt6/e99J1W1Thz1HYLf+NvyPLr13oNTzFFTcfpNi3t90e2xwRWVdPNbvyaF1wxoyNHzFEwBvPrFKfTK0i/QAnPCYmgvieMMfz4xz/m5uaG1WqVVNR3hDGGoih4+fIlL1++TOQ+IeE3BE916atyeoysqop6bHaorhOyGpNTEBK6WokrX01QRSEq6XYrxPWP/1gU1dvbDyWnui4g5BNGM5TqnUpgO8S1v9mN31CwwuOouOMMyT6dM0b5K0FVq1X6v2fCc0QiqB+APM/54osv+OKLL37dl5KQkJDwUSN22ceI/206jY16iJyqGx/GGClVTo+V9ddrUUabRnJNy1LWrVay/Ztv4Gc/k2NI7+r7OPbj8aqeuiP7x+RV1VWNlwrMaHlFyzk3LBByqq59i5T79QhqtUpB/QnPDYmgJiQkJCT8UvFYSV/HwGGeaUxO45K+ktPYtd+2kOcjOVX/qpLTqyvpPf3uOxm32cjr7k5c+3/wB3Lc1Qq8e8ix/9bdnVgfl/an6qlu13D+DUJQPTlrzvFcsKVGyvoFQlIDY0hVuVuvR41/zJOimvAckHqrExISEhJ+aXjICBWPgUPjk76rYqpqqnMjie37MUoqy0ZjVExONxshp00jPad5LuO8F0X16kpMUd7LmK4NRyjnu5b21QzlJ2Pin9yBUUFtUVf/gp6cezIGHIdTmSophTFiKiamGtyfkPAckBTUhISEhITvHU8xQsXjHirp67hYSe06+awGKXXxa9TUei2E8+pqdOhrb2oI0oN6fw8//7kQ1ttbGe8O4q0f6jt9CLF6qpqnYSzMx+V9de/L7FEz7qnYcsk1C8S5nyEl/pLRKFXx9hSn5h2uMCHhY0dSUBMSEhISvlc8taQfv2Jy6r2QyXiGKCWe6tLXIH4lpTE53WyEoF5fC4F980YUViW433wj2//oj4SYKmnt+6eaonT7W3fO2+qpMt549ii/eykxFQX1CzoucSxwZKz305vWu5cqqFrSN9FRk3qa8NyQCGpCQkJCwveGh2aEisfAoRtfoYpprJZqyd57WY5zUTWMX0P7NxvpI72+lm3ffjsSYBCyOgxCTu/vo7aBt/pO34WcxoH8sXqq1DFntDSBkFidPcohGqmjoCHgOGfAsNn3oL5g1F81+xQSKU143kgENSEhISHhgxH3i8Y41m86DdqP94/HxOuUnKpyOgyimKrSqj2k6tbve3HrhzD2nV5djUH8t7dj/6o1gc12f4W8O+0Lk5ePluPSfs9ojhoQkiol/jMGZmwouaJmw4yM2W6vjMPeU8thxFQiqQnPEakHNSEhISHhg/AuRqhjJf1pH6oSTv2sZihd1/fjOZSwNo1kmt7dCen85hsZUxSiqt7fy/af/UyI6jCI0to2gZub/VXyNt17l9K+R4hniMbp1KYFQlBd9N6gRPUzBi5pKemZsaSm2feZVrtR1W4vjZlKClPCc0YiqAkJCQkJ74Wn9JrqODiMkFLEpHQ6vaman5SEwkhOdV/nxqB9Dd3/9lvZXhSy/vZWCOpPfyolfjVQtU2g68CfSop6Umk/RNt89FLtU8lqx0hgB3RKUwgsAMMGyJiTY7inAl4iP9Lq1rfRZ8PYhwqp3J/w/JD+AZaQkJCQ8M54X3J6LIw/Lvcr6TRGyvIxOW3bw/2HYSSnmnd6fS3HKEsZv1rJ+q++GmeT6ntYrwLOwXK1v1LezxSl6qk686exUoaxMG8Yw/s7hKQOLFhzxhbLV8y5p6fnHOk3rXZ7x1Oc5rtXRgroT3i+SApqQkJCQsI74SEj1HTGqHhsXNrXZSWful0/d91oiILRqa9qa9+LCqqmqNVKFNS+h7oeiet6LeH8333HvpTfdwFrZf/dmfmwWe1VNY2Pp+qpqqYwxkpptFRgzopzeiquKNkQWHKG35PRGiGogXG605LRLGVIJDXheSIR1ISEhISEJ+Eh1fQp5DReN42YmgbwqytfP6syqzFTaojSqUq3WyGrSk43GxlzcyPq6XK561Xdhr2hqmnhaeT0VGk/jpVSA5Tj0MYU955qeV+D+S0XOHLuMBTMKKjZkjPspy+dRUdRo9T0imKjVCrzJzwXJIKakJCQkPAoHivpT4nosX5T3T4t92uMVDx1afw5JqdtKwQ1JqdtK59ns7Gk33VS7v/pT+VzlkHwgSwTcnp7B09z7D9GTlUh1VRSz6F6qv2oPSNBHYCGioaMhppATscMx8CWYmeQqhl7TdmdLc4/VWKaFNSE54hEUBMSEhISTuKpqqmOjd/j9XG/6dQMpeu1pK/rVUVVgtq2u/7R9dh32nVCSqtK3jUX9eoKvv5a1ikp9V72+fY7eJpj/0lPiJGoTmeNUvU0Nkq1wJqKgc/oeUXGnDXnXHHOFktPQb8zTskRHG8H9H/IFSckfApIJqmEhISEhKN4l5J+TDinpf24jD+dMcqYMdM0jpeKg/qNEYKp0VDrtcRJ9b0QzrIc3f7ei4v/m29kelOdFnW7CXtH/9PJ6VPUUy3x28m7KqjxWDVSgSWjJOOCfq8UdWwACebXiKnYDKWNA+roV8tVQsJzRCKoCQkJCQlv4ZQRytpx+/Q9Hj8t/U9D+OPpSVUpVYIZzxZlrfSUDsMYI6Uh+8ulKKcwHu/NG+k5vbqSdZuNkNOikH3bDj6cnMLbU5kOCI3UcTkjeQ2IKWoLbLF0nLNlzgaLY4ZlgaFmwwLLOaKYzhAzlN29a7lfXwolrgkJzwnpO52QkJCQsMdDM0I9VNKfrj+mquo27SvtujHXVBXTeOYoa6WsH5PTu7uxVF+WcpztVo7z7bfw858LKW3bXY5qGyhL2e/q+tgdP4WcTqHEcxorpd2gsbapU5+a3XjPJYYLHHNgzpaSJZ8xUOI5Y7XvP1X3vmafKlHNdkc9OYtUnrr3Ej59JIKakJCQkAC8X0n/GDnVsXG5X9dpmX8YRqKqJilVUJ0bQ/r7XsjpZvN2WV/JadOIYvrzn49xU3kuymmey75ffX3sjp/awXmstK8KqhLPnJGs2t043a9Fg/lzHBUBi+GcFsvAfDe71Iyempt99qkaoFQ9VWgWavwDfvBjrrJyQsInjERQExISEhJOqqaPlfSP9ZtqeT7epsQTRkOUklMt+U9nkBqGcdan+/uRrOb52Jeq4fzffDPOGpVlsFmHfbvA3/ybx+74FDk9VdqfrhM1dPwc++p1/IAYoyzq4l/QcE7LjI58/3JY1hTUzMj2hLTgkBqrPuuisx67YopiuiYh4ZPDR0VQjTFnxpj/yBjztTGmMcb8H8aYf+qJ+/4Dxpi/Yoz5zhizMsb8dWPMXzDGpASOhISEhBOIy+ox3qWk/1C/aZxxGsdIWTsqp9PzKzndbEblVN36WSavth3zT6+vhZxeXe1mkNpNYeqcrPPusZL9/g6nT2GyTdVTnW9Viaeqp7GiGs8a1SIKqWNOzhmeOYHZ3rEvZLdgQ4nbK6QZY7QUuzOtkW7WY+ao/dXW9RPvNyHh48XH1qjyl4C/F/hXgP8X+LPA7xljbAjhvzu1kzHmHwL+V+B/A/488t/wPw78x8DvAP/iL/m6ExISEj45nCrpn1JNj+0Tl+/hbXKqSqlzo0oKb5PTeIyS09itv1rJdWXZzpW/6zv97jtRVb/9Vo7dbEdyensLb14HXHgfU1S8Xs1QcV9pXM430bKOcYzh/DJ7lKWlwmEJnDMQaDjbk9IlBWsWSEm/QH6glerqpFcGWDIao2pGpSlFTiU8J3w0BNUY848C/zDwZ0MIv7db/fvGmL8F+PeNMf9DCMGd2P3PIf+4/MdCCOvdur9qjPnbdtsSQU1ISEiI8D6qafyuy9N+03hMXMaPpy2N+1BjlVVL/5vNaIjSMr+1UtrX7U0jpPT6WkhqCKKUDoNUuO/u4OuvAv69s06npX1VR7to3cA4v5MSWaWUca/qwDk9L4FLWko6ahrmdGQ4SlZAzYKBACwYTVLazdoDnzOS1xZx+R+9G/tRFUcTEt4LH9O3+M8AK+B/nKz/b4AfAX/fA/v2yP81tpP1t4z/8ExISEj4jceHlPSP9ajG/abxfkpClXTG6+GQnGrZv+tG8qnK6Xot4/JcxmgY/zffSPn+zRtRVetKLsBaGfOznwby4qnk9KmlfReNDYxdonBoklItRYP5e0oMjsAcT4WhxJORk+FoCOQ4clpKRu3Vw/4zjOaoYrccB1sd3FkiqAnPAB/Tt/jvAP6fEMIwWf/Xo+2n8F8g/x3/RWPMj4wxL4wx/wxCev+97/9SExISEj49PJRteoqcTpcVUyNUTGZjEqoxUrHKqpFS1sp2Le1rPNTt7SE5rSoZs17Lu5LT9VquO7OBtpXjbzbw058EjDV0fXzF70pOw2SbqqJKB/1krE55qiV/PfnAGT05HS9x5BjO6AmsKLlnAcxpmLFkTkeNkM5ivzds0CYBIahKlU+WQJNJKuEZ4KMp8QOfAX98ZP11tP0oQgh/zRjzpxH19V/YrXbAvxpC+A8eO7Ex5kvgi8nq33n0ihMSEhI+AXzIdKXH9jvWb5plY5let8V9ptOM0ywbe1JVOY3J6WolY3WWqO1Wxn7zjZT1VytZl9nA3d1Idt+8Djhv2B7Uzp5KTo+tV9W0j9b3jBQSRtoIYzaqQwp4PRVwRuCMnpKel/QMdOS05Nxj8RQELNv9j7JDiKmW+jfA3e5zGb1/B9xwOLvUT92pbriEhE8HHxNBhdP/t3hwmzHm7wb+MvDXgH8OMUn9aeDfNsbUIYR/65Hz/vPAv/aO15qQkJDw0eOpRqh4OX5XAjtdfsipr4qotYfTl8IYI6VTm7btSE5jtz7sHPmtrDMGvv5aSvqrlexTlWHfp5ploqp2vWG1JsK7WIdOlfbhUDGNI6W0z7TfrQ+MPvuOczwzOkosBZ4CS4vnjJwShyOnwlHQ7E1PSjZb4CVCUBeMJf1z2Gel/lfAvzu9jZ/+9B3uOSHh48THRFCvOK6Svtq9H50DZIf/FPgW+DORker3jTEe+NeNMf9tCOGYOqv4z3i79/V3gP/p8ctOSEhI+DjxUK8pPK2kr8tTM5R+jp36mnXq3GhoivNPHyOnqpwaI+S0acZjfP01vH4tZf3lUsjpaiXHns9l+/W1qKrR3T7wdN6ltN9H23oOo/O19zQ2RqlZynFGywzHy52SOmdDzh05SyqgZI2lZcaGane0ktF+pV2u1e7oNUJW9ex/HvgnOVRQf/9P/Sn+wh/+4QP3npDw8eNjIqj/F/C7xph80of6d+7e/+8H9v27gN874vL/35H/Zv92jrcPABBC+A6plOxhzLv8qzshISHh48FjJX0dE78/tB8cKqbxe2yGUhVVg/aVtOr+GhHl/WFZX1VQJadVNY5zDn7xC1FOt1sZUxbScxqCRH5eXQl5HQZo2v3dPvSEpk/myHot7ccqqsbnx/tp76kqqj2affoCT0kgx1DRkeG5IGDpqdlS0uBxVLTUNMwQp2/HSDg7hLDqj3XGSIcBvkRcxBlj9NQfnZ8/cO8JCZ8GPiaT1F8GzpB/DMb4Z4GvkfL9KXwN/D1HQvn//t37z7+XK0xISEj4yPFQST8u0evYeJ9T/aYxyYzXT/tN1fjUtiNpnc4OpeR0tRLF9O5O1mmPqWbMq7P/zRsZ0zS70n8IeyJsjKipP/uZfF6u9OrehZwe2x4roY5D45P65vU8uhy7/AdgoKKlwHGOYY5hhqfDUVGTYwhYahwzCjz3dEivqc4/5ZF+tc3u8xwhqo/KJ/nHpD0lJLwfPppvcQjhfzHG/BXgPzfGXAB/CPwu8I8A/7Sqo8aY/xohrb8TQvjJbvf/EPiLwP9sjPkvkf+e/0HgXwb+agjh//zV3k1CQkLCrx7vW9LXz7FhStXP6ZSmsRlKx3Td2NPatrIc76OzRsXkdBjEEBWClO29F3JqrZBO76Vkf3sr5PX1awg+UFWy3VpZ/9VXci339/s7fsen9lBpf4jWew7NUAVKRMfMVCnrQ8cLeuZAjeOMnozAjI6aG2o2AGSsyOjJuN9T2xlSxjeM5f4KKetfRNt0ctWjd5wqgAnPAB8NQd3hnwD+HeDfRHpP/wD43RDCfx+NyTj8JywhhP/EGPMV8C8hPeMz4P8D/g2EvCYkJCQ8W7xvSR/eVkXj9ap+KnE95tTXUj4cklPdD0Zy2rZCRpWcgpT5vZeyvjFCNJ2DmxtRTzcbKeEHH5jNxjaAppHSv0ZLDSJhPPakpk/oyHqliqqIxsdUJVW322j/uPd0YIanwrEALB0Bx0XtsA1Y7qnYkGMpWDJjS0B+2ErGHlQlpxfIj1oVnS0uf5rJe4qZSngO+KgIaghhhcz6dHLmpxDCn0Nmh5qu/0vIVKkJCQkJvzE4pprC0136xxA79ZWcWnvo1AchpwpVUeP94vFNsyOSETnVXFMlp8ulvN/eyixRTSOzRLVNYD4/NE1dXcnxNhsmkVKn8Bg5VZKpbn0t7YMU2AtGNTVWT9W5r/H6PecMXOCYMXBuYIblLA8MTc8lOZaMDEtBw4ySkm5vu9IgfjVUVIyUOFZNldAe7dNLQf0JzwDpW5yQkJDwieJUSf8hchp/nlaC47J+TE71XHE4/xBZWacu/rik770Qy+127DkFIZbOidhnjJDVLJOyviqjr19D1wYWCzlG143TmN7cyHVc3+yv/oEndYqcTrcrDRwYyWpg7PxUG5Kqp7FJSickHfgMh8FjCMxsy9ncU9CTcUfGihxPzkBgwOxC+6vdEbdIj5oG8auqaqLXoz/c2dSOkZDw6eGjUlATEhISEh7HY9mmOubU8jQmCt7OKtWxGiMVj4nJqy6rSUoD+PUYqpx2nRBLY0YlNc/lmjcbWX9zI4qp9wM/+UlH1/bUdc7tbYn3ObOZkFYZI9FSgvc1RT1U2ldlVIvtqp7mHKqn8XEcBT0WxwLHZZ4zDNBtBj6/HHC3hsCKDIfFUdFRsaFkzYLDearmjMRUpzbVO7XRGY/eeVJQE54BEkFNSEhI+ITwIUaox/pNY+KrJX3tN1XVVOOipsvx1KV6nu12JKf39yM57Xshp0UxGp6ur8Xw1DQDX3+9otlusdZwcxOAmvn8jOvrfG+Kur5WkvYhpih9d8QkcySeqmOqYmo5pJFKYHskVn/gT+BZ4DA4KnrOzw0za2luGy7yjNmQkeHJaMmpqLnfNw/kjAH8890VKBnVcn585pNICmrCM0AiqAkJCQmfCN6HnB6bFWp6zGn0lJqh4vK+qqiqkMIhIdWyvl6T9od2nZBQEMLadSM5Xa1kebmUKUw3G7i56Wi2W+p6TtcZrA0Ys+HmpuTNG/nJWq+17/R9TVGntmu8VDxjVKyS6vqOMZFULUuOGT0zPAUwI6OyG/CBWd5SsKEa1gQcOQ2BhpwGi92boQyimvrdex+dMX7Xr0Hs4j+4sxQzlfAMkOoACQkJCR854izSGJptqmPi8dP945K+vmICquNicqovJaRwuKwqqpJT7UPdbKS03/dCPkMQctq2Izldr2V5s5Ec0/t7IazbTU8IBmvlxorC0DSGN28G+l4IrvSdfgg5jSOlXPTZMYbE6MSiuq1ktC5l0XF6oCFn4HM8JQ0zOi4voSgNue+os56izHCssQQyDBU9MzYYlpwx0lztcPUchu/rjFKn7joR1ITnhvQtTkhISPiI8aHZpsf6TeEwKuoxp74ar5Scaki/9+OUpkpSt1shpzpDFIwGpzyXl5LTphFyqkrrdhOwNqeqAqtVIMsMfe958ybQdTldBz//Cj6cnO6fAodEVYvnWlRX2qhGKBBCGjv3M8Bh6TnHYykIDMxMw2xuqLKC/vWaeQFnu/1yHJaCnHtKtntVVK8mj45cMGq603Crk0g9qAnPAImgJiQkJHykOKWaKk6V9OMpRqfjYvI5NUPFLn0loUpONeM0NkoVhZBWnSVKVVIlp8aMZX1roSxFJVVj1E9+ImS1beH+LlCWEELJzW2NtRuckx7UpqmBkm+/hXcnp8e2hcm4qTHKMU5p6hljpeCw5N8DPTUDXwIlPRdFx8VFRug89D1V2FDmjspvCfRYOgbWzPFYOgrGP5SeccZISKcTqyoe7DJNPagJzwCJoCYkJCR8ZHgs2xQeN0M9pd9UjzmNkIpjpIwZVdS4LzXPZX2WCcFU1bRtR0PUdjuW/ut67DltW1FOlbyuV4EsUyKcY+05eVHy+vXAcpnjXMl33+Vsm/eZIelU36mPllWvVI0yNkZljOpqFx1P99lS0PGSgVlpGTpHaTz1IqNwgTrrMTYQNhsgY47B0ZLTkmMpacgZtVqis8dart7J9G5SDmrCc0UiqAkJCQkfER4r6cPbBqh4/amSfqyWKmJyGofzxwRXyWk8Rsv9x8ipGqKaZiS0MTndbsUQ1TTQbAOrlSzP5zLGecN8lnF1NefuTs67XMJy9RRy+j6l/XiqUjVCaZiTFteVLsbqaQOsWbDiFZ5Z3lMYw9llRpV15NZTV5bh9YbLhWE2OIZuwNFTcE7NL7CsmDNmA2h4lc4Ype95dFV6Rw9qpGmq04RngERQExISEj4CfEi2abz/Q+Q0Jr+xIjpVTXWsZpX2/WH8VExO9dV14zSkqpx6P5LTspT1v/iFfG6bwP29rDs/l2MEDEUeuLuTmaKGQVoB3lx9X+RUFVKDmpvkVSAmKBhnjFJPvRJYfThmt88WuMXQcWZaBheYGcv5WUEO2L6jshvKKuDuVgzdgMFTsqJiIGdDTb+/ko7RHFUgP85KTHV+77gz9sHA/kRQE54BEkFNSEhI+DXjQ0r6MTHVz/FyTE6nZqiYFPf9uJ/mn6oBKj7mMBySUzVAqXKqIfwxOa0qIaLffiu9qV0buLmR/ReL3T7OUBaBN28kjL9tZZ+vvjYnn0/0FCafT5FTfe+B1e6lhLMCFhwqpT56V/2yA26A75hRcEZGnZfkdklWVFS2J88MeZ5ThR6bQUWLrSrmYcB3LYEtgUDYEdQOSVE9Qwhovvu84HD+quldxsFXB0g9qAnPAImgJiQkJPwa8S4l/WPLU9U0NkDFy7otjpHSc0+jo+Jxui+Mpiklpfq+Xsv2phnJ6WwmpFXJ6XffCTkd+sDtrexXVXLuwYlyensr/atqyPr6G3Og6h7HQ+R0OkZL+x2wRuLwzW79BiGpOmtUbIzSEv8A3O1eGwoML40h84Z5PbA4L2Fw5PTMso6wbanKQF04hmbAuTU1Z9RcU+A4535PPFUt1SlPdX1c1n+yLpp6UBOeAdK3OCEhIeHXhKdkm8b9pk+ZsvSUg19Jr6qjOqbr5D0mrlkm25WQwhhL1XWHr/V67FXVflXtJ61rIZtXV6NyulzKuLretQsMcgOqwurxvvrasN0+9gQfcuxPt8cB/G20TWlgxhiNrzal+BjZbj9pCZhTymBHIwAAIABJREFUMaNkftZhKkfTwFnhyMqMLDfkriUzHrPdEJynygZqWko6SrZYthQMBxmnuqxnLDmcPSq+K8sDhDXloCY8A6RvcUJCQsKvGO9b0p+qpE/tN1Uz1DTwX/NL1amv5DSeulTjprRHVftNm0ZK8zCus1ZU0Sk5vb0VQ9RyKWpqnsvxto3BmkBewtdfy7a+h9dvDLe3x3tyo6dyZN1DpX04NDupMSqem0nnccoZe09dNKaV50lGjeHzckMY1pSl4fLiBTmGxTxgQs4s82TOUxlh42Vm6K9aajoMHbMdOfVAvTu7dsN2SNSUqqoxdJ8Hy/upBzXhGSAR1ISEhIRfIR7LNoXHzVDx8lPMUPH62K2v22NCOgxCSFVRVRKsszgpOZ0qpyCkdLMZ81HfvBHltG1GcloUcp7V2mAIFIWQ09VKzn17J+Q0bjt4Gh4ip1raV7NThailO4aNZSzvx8ao+OFrIb5hRsmCOXXhyLOOipKLeU2ReYxvqd2aYd0yrwLZumNoHd6vKVlQstr98IYDbXaxu8pq95ohZFW7STXUKtZ1j9JQlaYTEj5xJIKakJCQ8CvAL9Ol/1Qz1EPkFMbyv5JTXdd1o3ratqNy2nXyGcTspFFSXSdGp9tbIae3t0Jq63o3FepWek5DGMv/3sP90nB3J2MfeZqTz0/pOwUhpTBSwmK3PUdooc7bpPvHs0uJslqSc8Etny8888oxY0FVzlnkPVUFxlkK11NWYLoWm1sq4ylu15QF5P2SnJY515SIJqtK6YxRw1VVNWfsSVU8aIFaLFKJP+FZIH2LExISEn7J+NDg/XfpN9VtMcmMCWh8PHXkxxmpsXJ6ipyGMH4G4UTr9dgecH0NNzfQd0JO2/awrF8WYZ9vencn52law9UV79F3eiqIHw4nCZ3up/pkXO7PGI1RLjqeFNULBs5YMMMzrxpyW1CagVcvMrLQYr2nylsYGnp3z9zf01vLRWkwtz2h77EMFPSUO/VWQ/qVIseNB3p3cVB/nDHAZBwgeV5JQU14BkgENSEhIeGXiO+rpP9Y+P4xM1Q8XWlcMldyGsdI6bFjctr3omZqeX+zkXNOyWnbjvtcX8Ob1wFjxJGvx6sqWG+krB+CENrrayGkzhu+/VZIrZLo43gqOZ2SVBjL9ro9pnqxMSou7ccdn54CzzmOz84rZsZTZIHcGmZ5T1UV2GHDsH6DGW4pC8d2tSRsDfMqkOc1s+Eeg9u9cgb6fWaAnk1p8lQ1NRzS6GMwIA86EdSEZ4D0LU5ISEj4JWBqSFI8lZwec+2f6jedkthTTn3FMEgvqI7xfuw/1bYAJaRdJwR1Sk6NEXKqBNd7IZhXbwLWCvnUftV6Zmg7w9AH8lyU0zdvdoTVGl6/HsnsA0908vkxcqqx99p3GlM8pX/H/PFhN95Gy4GSlppAbQKzymMzQ104zi4zjHf4bsCFnmB6ajLKdctsvqC8gNCuqBcZOQ0FgTkDYdduYCdXpuvi9zy6svjuY3p9gJSDmvAMkBTUhISEhO8Zv4yS/ruYoeJS/jDINiWeSk7VtQ/CZ3R2qGGQbTob1ClyOp+PRNg5IZhXb+SANzdjRup8YQg+4IZxqtO7Oynpey9E9fr6Xcnpqe1x36mJlmO3/rSIDqJJxr2q43FFQ/XkOM5p+eLzQG06yiIQnGdRBUpryPyAbe+oyoHSGOq+l2edgRt6fNeS0ZGzJuNbCqT/1DPOFKVXq7rtQwqSObF8kFOWkPAJIxHUhISEhO8R76uaKhk9VdJXAhqbnRRTcjrtOdXpSb0fHfaqmmr5XxVUncEpVlFPKaeqnq5WUtYHWVZyW5QGN4SDgP/VSvpQ+16I7N3dOP44HouTmkJJ6HQWqHh7rFvG3ngY1VMPDFgCNS2vCMyzQF16qsywKHqMzSjChswGrLVkrWFoepyxBAzttmNeNGRVxaK5IjBgMVSYvQKqV2Cjs+a7dXqFenXTXIGTMVOpxJ/wDJC+xQkJCQnfA37ZJf2pGz8+vq6bktM4Osp7UTD7XrYpOdVlJadNI2OVnKohSkP4Ly5GJTYEKdd/+ws56XLJPr/UZqNTXwn0cinkNARRXG9vHzNFPYWcnuo71dK+7qOqaRxxb6LxU1UVanIGOnJWwBUXlxty00i7wgDnZ4Esl/ussoG6LlhklrC9xpeO6jJQdT3zMsO4FjDkdIDHMTr2YQzrh0Pj1LFmhJOlfZB/gSQFNeEZICmoCQkJCR+I76OkP8W7mqGmZX/dX8mplu91GUaFVcv6bTsuNw1v5ZxeXIyufmOEcH73rVzQ7a2oodbKyXMT9mQYJHZqszU0jZDTzWZsAziunr4POdW+U4dMZTogNDCDAzuSQjXLnXlrP5OUHMPTccYNC9ZcVC117chyy4uzCuMM86LDBsizQLZaU4Wesq4pO0Mz5JznUNiCvG2x9NR0ZLyhZUODTLRacJgjkE+u0u7uYtpV+uAsUomgJjwDJAU1ISEh4QNwSjV9137TeNtTzFDHyKkSvThGSsfHZqi4NzUmp+rWj1VUzSS9vJTteszlfeD1d4GmEWK6XsvxslxipNp2bCm4uoKuN/vjL5dCUnXmqLfxPuTURe/3wHL3+gb4BXDDoVkqj/YPhH33p/zhLkyGoSFjS0nO5eWcKqtoh4Gh2XL5wuAH+aM4L02+xjvyAFl1QcYZde8xeUU9rDAMGAYG1myQ/tM1MnuUBlnBaM0qOFRKp8apkyjLZJJKeBZICmpCQkLCe+Apwfs67thy/PlYhBQ8bIbSfabGqPhz3Neq5f6YqMaktO/HPlMt6zeNHOPychxrjJDT62tRQddrIZo+GPIC3BBod/tlmfSZrjdmT1ivr0VN1Rirp+Epyqkqny0yQ1SBBPPHaqoBzhA1FbQFoALavbt/p54Gx4ItcwIXM09dBPLCUJoBa3PqrKcqwThP3d1zNuvJs0CxXJHlhrO5J7zeUs8sdhUwGDwtFgnhz3ZXGBinNu1318JuuyqqY9DVw923gBDUpKAmPAMkBTUhISHhHRGrmQp1ysf4kClLY0NUfI5YLZ0ux2X9uDdVt8Xlfy2tKzltmjHb9Bg5VcK7vA+8fi1mJy3T94OhKCD4sFdYs0zK/suVYbuVY7x5I4TVeyG2x/FYnNQUUzOUTkM17JbPGedoahA6aKPxhvYgVirwRSXLAUuReeYLmJW7/NLQMz+r9gS8KCUqy29bAoYqd7jOUeWObFbCek0ROko8hhZDhmekyNr5WkzuVq+GybhHVaVU4k94JkgKakJCQsI74FhJfxoD9X31m06PfyxGKnbqez/GSKk6qWpprKiqA197QPt+HK8RU0pOu248x2oZePNGyOZqtVNdOyNTmLrAaiXn1iD+2zuzj7O6u5OyftM8FCn1FHL6mClKJw5VIqoybckhhIxWGNrduTI8HkffOmb0nBc588xQV2uyIlCYjjzUXNSBYvfrmfmeos4o1gOF6+gp6ANk21ts5ilDQ+g6Shpy3tAirjANtvIIOVV9t2SMmopd/NOi/YPBW2mq04RngKSgJiQkJDwBD7n0HyOnuv2hbXDcDKVjVFGN3fxK9HR7TE7j7TE51T5SJacaJwVCPLWXVMmpqrH3d0JO1eTU92J6qiohp+s1zGbjVKl392ZPfm9vpbSvSu9x5/77kNM4jF/fy92rB7aIajpjpHhaNAewDPRAhsHjCHxRGRyBgKfK4NWrM85mCwpbMstmXFyeMystdQ2FdWR9w4I1RZ1RtkuK0nC2CAytw+LJs7CLkgrMCMzo9lfVIQ0H6uCf0so4amoanHXqCVFOiXhCwqeJ9M+shISEhEfwFNUU3j1C6hixPUZOY7f9tPc0VkWL4nBmp7i3VQP1NTJKyalmm263o3L64sXo6M9s4P5eCKaS07bdlfXzQGZh0wgv6nuZtvT2blRKr66kFWAYhPxqaV8V391dT5/ukb/CMXKqY7VDU+1FSvuuGUP7B2BBbI6a49jsdJqKgMPiu44ZHedlR2GXLGYtVWlhqMgyzyyX8/etp0Aae4dNRz4z5POS1uXM3D0mt7DZkvUNWZ1RNxsKin10lN9dzXx3RW53xS66QiWlUyVpOg3qAaoqKagJzwLpW5yQkJBwAqeMUO9S0j+2bqqa6vapGUqJZkw4Y9VUXfjOjeRUj6EEUOOllIyq2UlzT0HIpKqaL1/K52GQ+KS7O+kd3W6lrN92hn6Qm7KZjN2TTWO4uxOXvrr1N5sxvF/PoSrr7ulMn+7bD/AkOZ3mnVqE4lXIz1u12zbslkuU9s2MoQlSPC/wtHh+tHCs156Snjy75/zlFnJPoGdeQVYsWMw8ZQ558GTbLbOiI3eB7P6WkMsfqujW2CJQFgF376h9g+cNOR09Qp/97orULNVEdx7HTk2fyJPKnqkHNeEZIBHUhISEhCP4Pl36p3DMCAWnnfpxC4DOAAVjAH9slHJuJILq1FdV1LnRBNU0Y5TUy5fjmCIP3N4KOd1shFxutlK2N4Q98dXrGpzh9lbIqPa47k1U/Wi0KoqYoP4yyKmui8v9SvnGQP7S9PTB4oGagMlyfN9QM3BeNxTZhotZQW0D1huaYcn5WYHZtQoYAsYaKtNBXVD7gDcZs8zhmpzcd+TWY4zH9A0VAw6/d+bHgVcKbULQr5gqq/n+qg+f1NGv1zTjLCHhE0X6FickJCRMcIo0fohLX4+hOOXSV/c9HCqisZoKhxFNOk6vT5VTVU2VhCo53WzGsr4G8r98ORqmykKU06urcf/1RmZPsibsYzb3s1Z5szdAeb/rQb0bnf7LpRzn/Fy2CyF+hL3z0Jhp32m8LrYXxRrkSHRfzaHxFo/hwno2eD477+g6R248Rd7x6jPL/CwjzwKLmWe2yKmKXkinG7BdgyHgmp6i30Ce0ww5WbvB4vGrDabZUlSWGQ05BRn3DIxl+yK6cp3uVJcfUk9jYjsluVRVykFNeBZIBDUhISFhhykJVLxLv+mxbbr/NJD/lFM/NjjBGDsV95vGxivNONVlbQVQ1VT7TZ0bTVDb7Th96YsXu77UVsrS9/dCTrfbXYl+LSH7hIC1wn906lQfzEHkVNOIKUp7T5UEV1Xs4D9GPB8qS8fqqWqJgbH3VPfNos/6yg72LbHQ9zgsGTIV68s6o289FQOL2lFlhnnZ75m/6x2z2lMXhrwYp3A9zzZUi5zarQnOU1hH3m/JracuPWFwFK5BkwQMbu/SryZ3PCWcU+L5FhE99dQSOU14JkgENSEhIYGHS/rTftNThqZTyuux88QvxbEYKTU96XbnRg+MEuqYnOr+MTlVh/9mI9vVwQ/jDFFdGyhLMUGNPacD98st6/U9fSdh91b4HXkuZf3VajxP34taenc3xlWtVlDX8X09lZyeKu3rOnXwx7qjsnr9aSve2vei7tn2FkvgrAj0wfDqrMM1PVXhmVeOL74omM9rbLahrjfkdc9iUZIHI/8Y8APVzOK2HUMIbA2sMw9+hS8smRWVOcNh3EDGHRlbHO4g31Sd+yG6eu27UzNVfPVPop7aQ5GQ8Ikj9aAmJCT8xuMUsXyKahrP1hSrpFNMS/rx/rH5KZ4RKjZNqaqa5/Kux4tVV91fez41bmoYRoe+klNj4OJiR2SbkZxeXe3c9hvHtlmzXm1xThTLoqgZhjOMyRmc2ZugdMpSncJUCfJyKders1aZ9yan03e3W9a+05j2KWGN46Rk35mRaVivGsscj7XwcuFotoFZHTifBXILry4t+BqCwdBytshYWM/5ZQ5dR+Z6im5LVkG4/5p1cAyDxfY3dNZgblfMTEtRQD30VOQEGhwSeLVF5roKiIvfI9MJHHsaSl6Vij9qf0r9pwnPBImgJiQk/MbiqS59HXtqOSanp0r6x/pNj5FLOCSfccapmqH0mIdRTSMx1OB95w7JaVzWn5LT5VLI6XIJXW/ouo672y1FMacoDHkeWK83FGVFlhUslzJ2GORcd3dyfFVqb293My3tBD3vwhF6+lRyGpfyY5VUaVtskJraiXR8xqvzlk2Xc54HyizQdJYfvOhZXXcY66iygS8/91gTqEpLaQug4Kz2FLal3XpqBkxmmfmWPg9QehahJOSB2lZ0m3sWRU9YNljfYjcrUVJ3Zf5295qGY50xdtDK1Y4U/J2g/yJISPjEkb7FCQkJv5F4lwipUyV9XRe/T8npY059HROX9eNjxeQ0ds3r7FDx/ppvqgH7akgKYVQ5rRWzUtcG2iZQ14fkdHAG72G17AnBYIxMY9p1hsFZvB9Yr8dsUyWnTSPK62olx/FeSHCeywxUb0dzvg859ZP1cEhO9aUnG9n7Z3NHN1jWDVg8zsEPXvUMfaAqA2dzafK9PPdkxhMwGAOLBcwqT1lb6sJhhh7jBvm7rm4xGPqsJh8aCJBZcHhsZijoCX6N2UVdWSROSjNQZ0gvqkNC+1UtfegpnfrR3o+b9qQkJHyiSAQ1ISHhNw4PufTfZcrSUwR3us9DyumxUn5cutey/jSAX41SOiYu62tpf7ORd1VVjYGzM+i7QNdJb6i69Zcrg/NKTgMh5OR5oKqC5KY6IYV9n++zTbtO9tceVI2Uahp49UruZ70SctoPRHgKOdVlJadxL6qS1WN9p9NZ7KEGFtVAN1gWpaesDDa3zCuH6xzGO+a154dfOqyFMhfDk7WSBcswyN9lcJjMsrBb8jqnMgHnA/Q9VWgxvsdvtxRuoKwMpu+Y4TAEBoZ904HdXbn2n1rG2Cl188cZBSHa79TT26MoHtqakPDJIJX4ExISfmNwjDDC+7n0H+o3PWWEimOgjjn19bgwqqVKTvV8qpyqMUoVVnXIKxHVGZs0nH9KTquK/QxRm63ZX8vdbcA5mM9LttuazWZD11tCCIRQs1qVe3LqvRDV9Xp069/eSmTVdivnyjLookish8lpjGMzRSlNcxxqjbFRKo6dCmRYLuctzuS4IZAXgWEw/PiLjm4byI3j4lKe59kikIUBh6XKBxbnlrOqw5oM6zoKM4AJZDgya7BFSZjlNPf3bPMMs12xKDPKdRDHvpcoqsA9jmEfzO+RMn+1e7fIj3FMWInuiMndTkO09qgqmdIrlfgTngESQU1ISPiNwPfRb6qfH+o3fcgMpdvhODnVZedkvIbhKxHV7RrzNAyH05bqWI2SUmXTWljMA/1ubFUJsby6EnI6DNIjenMj+9c1hJBT12dsm4o8DGRZznJZsl7n+0kBtO90uRzJ6cXFrjfWSSRV0x487WN/mSPL/sjnqWM/1h312Kqe6stwOffUc8t6C0XmqWeGrvFUZWB756iywKx0vLoYKAoojBEiijT4FtZhrKEwHt/AbFiTlZbs7pq8zNg2ORfGQuepy4p558mNIW/W2O09uTEQhn337NnuqneBCjTAJSO1NtGduOjOYn35pIJalrsdUok/4dNHIqgJCQnPHh/i0j+2/VS/6UNmqJhkxr2kWrJXJ7/2l3o/lurjY2mCkJbytXwPY86puuZVOV3Mw36sktPXr2HbCDkdegnm1+swBgIGHwqqqiDLhHzGpqjVShRYVVNFdZXrWy3D/hqiqz/2lzmyfIycwkg+lb4NHJLSgpHICuYZXMx6hpCz3cLlmVzT3/rDjpvXjsI4zmeDmMZeWHA9wQayIlDPDGflQLAZvmmpi4GsssxChzGWap4xmIIz3zHPC2zIMcsNlfFkpSHvPIUJmNDhd/FSA9J3OmOMkSqBF4zK6bSUr+R0qqAeRV1zpNk3IeGTRPomJyQkPFt8aEl/qpROccxMdexc8bapGWpa9tcZoOJ+0/j8WsYfhnFaUo2SismplvpjclqWQijfXBm2u37Rvgssl+O1Sr+oGbNOB9lHpzDt+zHf1PtD9bYoILNhnFBgrxI/pugdM0fB6HHXdUrV4ulNdd1hpFRtLZezlmKWc/MdnM8dRSUktJ4ZysyRWZjPAq8uBsocjIU6c2As1nhscBRFRo4n9IGsWWMKi1mvCIU0LZuuxVQWYw25cfimowwDRb8hswHv1gwMlBzOIBXT6bijFuSHWan3sVyCkyhL+QKlEn/CM0D6FickJDxLPEQY3zdC6rHznDJD6Wta1o+Xta80Nk/F057CITnVGCmQ5c1GxuuUpoTA2SLs2wDKUgjs9Y0ZHfg7cqpEuCwlYkp7XvteVNLNZiSjqpwOw6igNo30txa5KLF5Dpvt/kmc+gsdeddeUxjJaayoHus7jdNB5RgWQ5l7FueWppHSvrGGrg389o8d333VY7zjYiYS9cWlIXQ9wXmyDGYzMVVVc+mxUL43yzoxV80C1gT67UBpevy2xXcDWZlBCOTNiny7pJgXWByG7Z6E5oz0OjZBqXHKHtzJIe1+FFUlX4JEUBOeAdK3OCEh4dnhIWJ6ipyeipCaktNTqumxMXE/6pSQTgms9ptOy/w6TkmpuvXVpKQzNmnPqXNyYYvF2KNaVUJOb24N6zW4IdC1MqWp3mOeS8lfpzCFMTdVXxpV1fdyvLs7Wf7sMznnei2xTHf3+ydx6i905F3p2NSxr92YqitqML8eP9vvbwhSNjfw2QtRTLdbUXbrGuZ5R1V4ytxTVUJEv/zck4WBvMqYV9L8W+YeiyevMjFNNT126MR/1EvfwlCfUduOcpZhXU9BT95vKWeZ9LA6h19vMeSE3VXX0R3oXRYcNirEBDWm3U/CsSiKhIRPFImgJiQkPBs8ppo+lG967FjTbdN+UyWX8bopOdU8Ut2uBFTHqHKqpXot8ytJBdmmBDXOOFWyqmX9YQBDYDYbWwDKElZrc0BO21b6SVVsywtDP0juZ1EcuvNVbb25kc/DIPuu13ItP/jBqMRaC1fX+6d16q80eVeqFibLSkTj4rf2neqxtVAuxws71/6rs06MUWuoC0cxy9muPT/8rcD1a4cPhnntMd5xdm6wweEHjyFQlAbrB4rSENqOLDcYa5h5cZ4ZN+BdwHfygMPgKDNH7jvcEMhch8VT1BnGt3RsDhoQMg6V0jh6iujujnXnTvHWD3gipwnPCImgJiQkPAt8H/2mx/aPjzM9xnSsEkpdr278mMwqh1ACq1OXwqik6n5KYGP1VD87d0hO+y6Q2bCf937fc7o23N/vZnnqA9vt6PI3BrLc7GeXyvNxilIlpiAGKW0t0KlMNxtRTr0LbDY7c9Rq/7SOP8Sj5NRNxngOpy89ZYp6eyrTDMu88lQzi7WwWUngvmsHPr/syXZ9pfOiZzaD3/qRxboeW5eczSTjdF576ipQzHKMGyjoyXCSa0qgzgdCVZP5ntnCYodOnn0h+V/Z+p6835IXhsAWy2pPSLPoyqdUe9SB334q6vB/9AfbWvkjJpKa8AyQCGpCQsInj4d6QL+PftOYvCrZfMwMpeQu3k8zTOPPsaNfnfxx6V+VUCWIqrQ2DfvpS4dewvCLYuxDVXK6Womr3g1hn1WaZTsvTWZo29FXoyH7WtrfbuW12ch16ef7e4mTMgSaZjRT+RBTrrf+SpP3mIZNt8Vh+9Mw/rgXdQDWWG6BLYuq5/LMcfnScnMjqQL1zGBdz+efw/K6JxjLbAbGOxYzT5F5Qj8QfKCoLJnvKec5tC1ZbmhaQ9mtsEUGm4387WxGNuweXBDF2rQNxSynzgfMaknoeiwZjn5/xXl0J3Folt6ljovjpuKnAm8/3YPPWZbIacKzQXLxJyQkfLL4UNV0uj12zE/J6mP9psec+nAYwK/kVFsFlYzGzv54ClQN4NfcUW0P0PimphHlVOe7zzIhkEVpWC53047eS/D+cjnGToUgF67Oez1W24q6qsvDIEH+ao7abmV9XcsMSzFhXm8eIkZPIafw9lSmsa4Yk1aLTA66BtZ4DJWB0hgW5y/oe4vvHfmLkmHb8eXnwvQNgVnWM6sCP/4honjWBeXQYqzlYuEokYgs4waqYsAVntrIH3IxD4RiRlj3+4dW2gHTtLghUAYJ5s/rnGzocDRAYED6T/Wq9YdXS/9T1z7RctyLCqfpPyD/UkgKasIzQVJQExISPkl8n+RU95v2kh4jp9N94LAXVclmTDxjRVSPG5f1p+d0TkihKqfTUr/30DbhgJzmuRDLvBjJ6WoZ9j2jGjuFMfgwktN4mtTNRl56Dm0N0ED+vmc/dz0ImS0KuL17CjmNcUw5jYvaWghXg1RM3bTvtAM2lMyY5wtmVc35RU9RdFy9CSzODAU91vW8fBHYrhzOSdpAbiWovyoDfdPSuy0h39Cu76AQI1RZW9rOkDVryhKKIL2lvc/I+oZ6IQaqfiMtABaP2aylf3WW41c3ODaUuzuJy/yqkhbRnZnJcvxEp1OcTntU90gENeEZISmoCQkJnxxOGZji9+nY6bJ+PlXSj9dNpyE9ll86deqrOqpjnBvNT8cIrx5PiaiSU20X0L7TYYCuHacr1bbDpjVk+dg/ulpK/qmG63uvN8Y+8L9tx3YBJcRqwtLZobpO3pUUv3w5ktezM/j5V08lp7p8Kog/LnorOe04tA2VjER2ICfQYZnnnleXEiu12QzUNRhraNc9P/4RbO4HfDDMSnmIP/xtg/ED2IE8u6dzPWc5YDoGHyiGgLUZmfFUuRDbfBjo8xL6XvJRTSAER14baDzlPGfeduSv30AJlhwY53jVjtk4/zTjUFFVjVgDto492UcV1FTmT3gmSApqQkLCJ4PHyuwfGiF17BhTl7667ONtsTNf10/VVTU/6ef4fHodaoTSsn5MTr0XYto24sKvKjlmUUh2qbW7MvwmHJBTVUMx5uBa9Bo0eF9VV52NShXVuzsZt14FXr2Sa1uvJaLpF9++Kzk99R479vVnScnpsTD+gMESCJQEcuvISsjyQLMxmCKnLAKL2nExF1KahYHzs8DsLONs5qhnhrbraPuO2XxB7ixltcB3a0K++zu3G+oarB8oi0BxVmGGnuqswK+3ZFb++K5zZNsVhICpSowbCHg8xV4LNtHVu+huQnTn00aGYxmojxLUYyV1b9b5AAAgAElEQVSEhIRPEImgJiQkfBJ4rKT/rhFS0xma4mM81QwFh/2mSlbjkr4SWu3VVPKqRFH30/L9lJyq+tpsxxmhZrOx57RpJR5quRQSqb2mOvOT3pher15LHFOlfafOjf2nm82ovq6WgS++GI1S3sPVtTkwgk2e8JHlEL3iz7Fj3zKW9WPfehaNETW1MiWWOeezFS9eNcznW+5uKsqyIg89/brjt34Lrl87usFS1QaL57f/hGdopRl4VrTkZc7lwlPPDWUBvu2xNBACZe7l8bkBk1narSf3HdYEjBc5u7CSt2r7FmMNxbyA2xt6NuQ08p3hUA+O6Xbs7o8zUB97qkeh/R6JoCY8AySCmpCQ8NHjVEn/++43Pfaanu8hp34csA/j59ipr+rlzgC+7zfVV9+PBqphkJ7PZhv2Zf/ZTLZnuaHtRDm9v4fNOrBajeS07+Wi43vVjFPtO+06iZDS64unM1VTVLMNfP75uL2qZCrU9frkX+vI8ilyqhQtNj/ptuny2AowM4E+GM7nUM88RQl5PqfrziirAhscr15BnQ/kOczLgUXtJJw/76nmGa5zeAryIuC2LSbPCH1LsSgo84y8WVFXAT94ZqXDVKXknlY1drumyITh+7anyDz1zFDcvcG2W8gLcrYYOmBsWIj7UGOjFLzdexp/jg1TD8Ja+SMngprwDJAIakJCwkeLU0ro+/abTo+px5jup5+n54n7R5XUxWrplJxOlVMt86tyqtFRSkz7Xqq0uuxd2CubqpxqdqlmoN7fBTbrsA/O1zK9sWZ/HSC8RZVZPd5mM97L3Z0cu2lGc5T2nBojKmsIotje3Jz8ix1ZnpLTeF1MuzywAW6AhnFCUJ3FXmAJ+OA4ny3JsxVn5xmLObz5duDVl1Kbz8LA558F7q4G2o2jyANZBn/yT8pEBYTAvPZUdc3FLMeUPcY2hG7NPLe4LqOwjjL3ZL6XCK4uUNBTFw4TvHye5dKPvF3LA9vNkGAMOCosQkRzxg5apeXTOKmpQWpKSB+inPtteZ6mOU14Nkjf5ISEhI8SDxHK+P2x8bruqf2mcX9o3AJwipwec+2riSou9+tn5Q/aG6qmpGEQ4qpK6jFyajNDUUqwfpZJhFTTCNHUUn1gLOnrvVTVSE7VDLXZjO0Em80YX3V/v5slqg1cXBxmt1a14erq5F/syPKUmJ4aG4AtQk5bYLl7xcopgOesNvT05Ky4uFhwfjZnu64wWUe3Xkso/xcGM4gUfXaGxEeVUGUDeZ3vIw3KMqcyBYvFOYU3zC9eMCtnlG1DZgPOG0o7EOoZ9D2mLMh9hxl66rnMkFBUlqxvpE+1MtjtmqFvMDQHurA2LcRdEdqLGjczwCEZ1fL/sSf3FjQMNymoCc8AiaAmJCR8dHispP9995vC2/2mx5z68HbG6XRZz6PjYpKq7zojVNuOpXxjduS0DQQvofo6Zj7fkdNCxlgTuLsNe8OSktT4weh1zOeyjxJrnUlKCetqNSq4OoVp8IH5XIit97s4qdLws5+Nz2/ylI8sH1NJ4Xic1IAQ0jmwAGa7cc3+GAbPfKdAn1cdi3PLfGEpSmgaK+2XpmUx87xY9Kw3Btd7CusIxvLbP5KHbNzAfGGwZc5ZPVDPSi4WNYtixqKq8L2lKgOLBeReSvQml2D+LAO6jqI0+2lOMyPl/apbYvoORwY0GG73eQQZ4ufXxxbPgWV22zbAavd+qrX3FIndQ2dqSEh4Bkjf5ISEhI8KH1rSn455Sr7pKXIa95tq76Zunzr142NPM07j69DtGoSv5LHvpaQewjhzk5JTY81eXbUmcH8/9prq7E4Bc5AqYK2oruv1YcC/HltD+LUX9f5e+k29k2tYLOQY6zXMF4ZvvpFjF8X0HwKPkdOYik3JqXZlbnbbtSNTfe/9/hiWQFEa6tJzcWZYXBjqOnB34zGFxZqA7+DlS3Cdo2+k5/TsDC7OA7n1ZLkhOM/gjBjeh55iJrNGmbIguJb+/op2WLHtW/qmxc4q2juZfisPPaHt6FYdNshDzpsVvhsYTAFNg80tUGB2d6ENCnGU1HSy1iUy5cAGuN19VpKqT3RKSN8iqDExTQpqwjNAIqgJCQkfBb6vftNpif9Uv+kxI5SOmZqhtMSt+3kv1dS47B+XwuPzxkqtkty4rB+CKJZdKzvEfaFn54YsN/u+1MwG7u5EMdWc0m1j9hFSSnSzTKY61b5R74XMrtfj7FTxzFD39+OMU5sNXF7KftvGcH5h+O479tFWfR8/rcfK+nF5fpiM1eJ2j6SDqtKqf2hHtuvezAlcLCzNNlDljssXNWVek5kV274nZ4n1GZcvai7nPdvW4npPnQ9kNvDqXKY4Nd5R11DMC+a2IatkatLcenAN93crer8kL1s2mxXkDaHMqGyPySy23VLmEvLvg6EswbQN+f015Swjcx2+6Qhs93eiFF1L9T3i5l8i+vAGaWqYIdrxfLe+4ThOUk9rx2iHRFATngFSUH9CQsKvHQ8R0+nyqfHxtmlJX4/xEJGNzxMf/5gZSgkjvG2OilsGpuRUFVNVMEOQjc2OjWy3I8k8vxijobpWTD53d6Ny2raw2ZqDdoK+F4WzKIRo6jVPpy/te1FPiwJubkQ5zTIhql98sTNQbQ1VJePu74Xw6hSru7t6ZDle5yfbs8n6GiGwa6DaLde4nf64mMmzuDz3zM8sRZnx4sWC736RM68G6AuKPOPLF14mF9g6zueO2VnGy8ue+SxABm7rCJkl8wNYqOeW0LVyc80W090xLyvKHGy3os/ALVvm3lBmA2bb40xOmfeEoSfrttSlJ7ce2/ei83Z3WG7lO8OoG+cI6VwzdtZ2u7tXHXm6z1RBepB25rn8CyKR04RngqSgJiQk/FrxmGr6Lv2mus+UpL6rGUrVyFNO/biEr59VHY0V1viap2794KWcvt3KOC29d73h4tLs9+27kZyqchqTU72urhPCWddCdPX+NXS/acZrUMJ5dSXkFIT0/uAHu+sbRB1cLiWG6m2D2SlyOp0lStfFpDVO+1QaliP64ecIQb0AzjFY5rvJCDLjmc3g4tJweRFY3mWQX5CZc7JQ8uWXOWXu6RpPWUm/rg2O89lA5zJc01PXkJeWs6KlqDNK05NnAd90uL4hC46zOQTnKUsIWU5o12RlRjFsCT5gkB5h6weyZo3JLIMtsX7ABI+hRDRRKe9nCN1WrXhA1NJqd8dut14VVzVTaZPDQ32nB5+zTL6M1iaSmvAskAhqQkLCrwXfR0n/2O/wKQX1Xc1QSk61F1XJaNyTqhmnMXkNQcipklUlpDqNqHNy0hBGRVJL74MzXFzsTFZDYOiPkNPOsN6M5FQV0Sk51VB9NVCpMWu1knMulzLrlPey/OrVztG/lYe23Yq6qukCY2n/3cipOSCnSsGmcVIBKW7XwDlVtgAMtZU2h3bruVg4Xr6SXlxrAv8/e+8SKtu6pmk93///4xLXOedaa+/MMk1sJBSKCoWW2LOjBVod0UKwSsFqqZSiVb1SkELBCwoiCqkdqZ6liIqtQkQTm2JHStNSqTSPlZezL+sy54yIcf0vNr74Y4wZa6611zl5znHvleOFRUSMGLcYM2LFG+/3ve936h21HbHJU68NN+uRphX8ECmNZ7sTvngZWW0MqypiJOGTpbTqWqtqIQ0jUjiqImJ6j7FgC7BjTygKhERdaGuAJVCuHWXqSYMSW+sEe3ygqgUZtbwf6BC0aSGPNS2YGh+K89XIWajF+f683F+h5Dbjk76oi2IadboYpRZ8BlhK/AsWLPiF47vI5k/Sb/rcetdmqLxsTorz89dmKJic93PDUyZ9ef15jFTONg1hCsOHpzmnw4CStfMxclm/aSAmwQcusU5Dny7E8OFByeLxqOrq6TSdQ+5jdU7JaY6Lysec95nmUagpncv2D+ni4n/xQp9vO7mQ7m+/nVTZTyenucMy64AF6ZICmrsxG6YIqf68/h0ThRPGkKhIVHUkhp7NqkNsiUjFbmu5f7QU4oljYOwjv3w3MoyevmuxpseWJd4b7m4FHw0yjKw3hpCEUkaKylDJABZiNyAxUCShqiynpqWmYTRr4mPE3Wxx3YkwBArRXy0pJpw/UcQekwLSd8QxwOmIcHgytHVkyjjNt56JvArw4vw468klk5nqk1HXCzld8FlhIagLFiz4heIX3W+alcbntr9WROF5B/5cMc29pXk97yeymqdE5R7TrJ7mHtKstOb+0BwN5b0ak4xRJ38mwoeDrnNqhOE83Smfc953UajTPwf0Z9Ka1dNh0GM9POjzD/eJxwc997aF29vzcQe5DAr40Y9035sNs4lRHyOnghLNI0o6I0q3svUnhy1le9CGycvenZcrsbIkDJGyirjiSAoN5QrqTU9ZDsAG7yusRAoJbG7hdj/wzbcnmrZjv/IURcvLGxDZU4qQCmFIBVun+aZFKaSux6xr6tjSvekoC8vt7Zbm7SN2t8fgcGWDiYkiDdjKYDyk0VNXCdpRf5QkQylJr0hRwvhAQFVQzlchO/kLpsyCTGBX539ZMX3OXnZ9xZ9FjpgSWUjqgs8CC0FdsGDBLwQfc9bPb79r/Tme6ze9xnPkdN5vmvef1dD8OPeR5lL9/Dv/OuN0/vx8zn0mp85NxLHTMe+qVp6jo/Z7VVf7bnodOZP01Mhl9GgmuVmZLUuNknp81O2GYXLsN830+PFRz+3xIV0I5zBoBFO9Etp2evyjH+nr2m6ndoD3yWl23Gdymi0/uUCd1z+htKzGIEQanmqDudA9ADW7Gg5dZLsSVuuBoW3Y71Zs94b1KrHfnfj27UqVzOhJ1vDFbU/bj/RDx64uWG0q1lVguz3Q9w2hS6z2CWdKSB63qqikJ5WFluVTxEmgLiPjYNkUDrde075pMOstbmwxY086v4lEQLzXhIDDAbdxyDcNqe9hbC5hWfMSfb5qWRnN+QX1+WrlL+LcABGZXPzuvF7Bd6CqFgV1wWeF5Z28YMGCnzt+HuQ0P/dd/aYfMkM959TPjzM5nY8phacxUtcZp/n5GM8TmobEOCg5zUSx6/S27eQyBnW3O5PTfjr+4+M5FuoD5DSEqayfyWkmxk0zBfHn/lIROB3TZeKUiG5fVnKJltpu4cc/1v3s999FTjMhbdHkztw9qRdFnpksHxmYaFY2S00ed4sw9pGbc6U6hYGySBSVoXCw3yZe3zv6U0vyARH44mZQA34zIjHhSkvpEi/vElKCH99hqxNNN5CGNyTTIQyk0WNXJYWN+MeGojJsbgvc2GI3NSlEVvZc+g8dMSTEaPtD9BHbHNSPJAk5PF5k+sDDJU4qZ5zmx7kv1aLdtnfn2zk5zbaxI1No/yNK869Dut5DUeiFWyZJLfhMsBDUBQsW/FzxoX7Tn2Zk6YfW+5gZak5I52aojzn1s3Ka1839pfPzut53Lu133dngdO4N7fuzYtpCiMIwTuR0vUpYM5HTrHaeGqFpJ3KaM1e9n1oJVislnzAt73tdltXa4/HcSnBKl2iqnMO6v1Gj1emkpfyvvtL1iyK/1twTermyTOR0RGnTPUpSD2SSWnAud186KgvcJXC/RgvamdBqrJShxklUAdAK200i9MJqBZt1oqoSxdrQN57txlIYVTx3m8g4JE6nRF2dgAfq6khV9XRNT9N4Vpst+3VJ5SoCAyacMKUjtR0pqHnK4RnaQGECtrT4diTWayR4ijRQ7ipsHImnltIGTWgIgYBF6ooYElEs8BaPktDs3s80PKummZrnK8rV4xFVT3Mmas5FzZFUH4W1373OggU/ECwl/gULFvzc8PPoN73Gdb/pteEpbzt348+d+tfB/JmMXjv1r88v709kUlqzKz6T02xo6nph9NPxUoK6UnW16yZyfCGnja7bNNP5zMlpVU1l+zk5vb+fzr1tz2pto5Oncmk/Rnj1hTAMSmbrWuOmHh8ngj0Mz/WbZnKaaVSD0ieDUrEesIyXqVCCsMZiz+pfLm5n2jWcH1fcbA0Px8i6UlLanQK7m5r9TaAqT9zs4JuvLaUtYTRgDS/2vRq/DgOWlhA9hTtiXaQZSiTAy1c1ozdsbU9ZO4wMpOSxlQPfE44tVZFY3xSkwxFZr/T9MYxgC6rUEXzCDB3OQBSw3Yli5ShfHzAFyLGDcYDHd5d4qOp8peYO/sBTNTWT1esv4ayUZlNVXj/MtnlWHzVGez6WmKkFnwkWgrpgwYKfOX6R/aYfMkPNj/Ehp37efl6un/eX5rL6/DiZnM7HiqakeaIhTE7/HLqfzUeXNoKUKNw5G76bjnU4Cm2n23k/kdu8zzk5PZ2epgx4r2QzK8CHA+fpVOc+1tN0Ti9fycXln6dNPZ6r1FWlauvsr5GvPhM5zYaoTKHy+NIcmlQDkdKUmGQxGHwys32sz/upAGFTJvo28mKvyrJz4FbCal2w2WypS0cfYWwShRhs4bjdNNzcDXz71cDx0LHde/brO/bbgdsXI33TI6lgjAUb1+OcYFzEDB12dUtsOgpRCmmIhAFsDGBKUtdT3G2RwyMmjBS1hWNLime11UTkpD0X5vSA+PHcjfv4ZJxp1o/nVzDfmtl6c8KaryI8LW8mJqI739cFuTRgjErgCxZ8BlhK/AsWLPiZ4qct6V/ff26/P4kZ6jlV9dqpPyes+X4ms3MldW6Gcu4pyY0h0bXpomQac+4TjYIPcpneFKP2mhaFEsFc1s/ktOum3tF5Wf+anGbiC09NUHl/TaMtBm2rRPXhQYlo28lFOc3DAdoWXr+esk6bUyJeruGHyOl8snzWRiOWBNQIWyy3jLFiTIYm5a+ZiNqElM4JwrpIRB/VVZ+05SGOgfVGuLsDI5YXX+45vluz39ZIMtjUsd6ceHg4kFKLde9wrsFK4ouXFSbtWBUl+xcVzpaINAQzgD9R2YKqcJQ2ENuewka2L0rM0FHerhEjDCf9NSFJ2X7oxouyWpiASyO21xgGUzp9j4QIs/GmWSmdl+4dT4nph1Ce/51QjbpFKf+16eoJnJtC+t2iOy34PLC8kxcsWPAzw4cIYsZPUtK/Xu9TwvfnquqnOPWv1dDnYqTmWac54zTGqc80k8Q5OR1GmfpRzyQ2jyAty4kg+iA8HvRxdt2fTlMfaCa2uXqbyanItO/7e93OGM03jSFdMlAPByW19w9ymRKVg/xzEP/ppFFTr79Ns47Tj5FTUPUzR8tDbRJNrIGa0hp8CFREuicUbSKnIDgSm1W8ZK+uqkh3iuxuDLe3yrNefun48e+o22toPHUN27IhhZaxqxmawHa7o3DfsNmuKcoVpuvoQ0Lslp0NlMUO6zxrB1EM7eGBKODOk59s8kAkxUQaPetXa9LxRBkapHS4GJGuRfyI6Q9KxiVihp50apChJz48Akfk/Crzlcp9p/Ny/XW+6VMrmX4pb8/r5rzUudP/GgKTcmrtUt5f8NlgIagLFiz4A+OaYP5ByelzKulPaoaal/QzOZ1vG+PTEPo5Ub1WWuGpUSr4dCnbZ+XUOR0R6sPUE5qSltozOS2KiSCOXnh8PM+9P7vrm+apISq/rqKYEgBgyjfNhihQFTUGDd9/927qX308CC9fTv2leSrU69e6zu0tvH3zk5DTTKm2QMHGek7BIdRYSkwKlGdyWjEf+slsH4ndJvJ4EHY7WNUJR6BYGdYboSwidS0MfaJtEpsqEKOhYGB7kyCJktMbgxWHwbHZHmlPyuh3d1sYE6uNoywdJSdGnwh0uNjSdj0rEvsvbhgPDdV+hbFC8/ZEua+RoNFTKYEYVcLLAtwYKUuDjA7HgLEQC8sY7i+jSa/7THMQV+5DzWMLYBpnmq963q7gqbv/OynnfILU0oO64DPBQlAXLFjwB8J39Zte3//UftP5Os/1m8LzZf1rM1RWP6+V0xwjdX0u+XYcn0ZKpqQEMJPSnHMKYJ2aoPIo075XYjoOTwf89L261MdxKstnd30mp/nY+TyKQvebH2dyejpNr/F40H5TETU8DYPu63gSXrw4l++b6dp9/bUe49UreP3tSIgDXPznJdOco2tymg1RSsVWsmYMujxhKF2kMBGxRidYAdPXjO6jcobKBYbhHLElULlAwrBaC/ut9npudpavfmfU0aSAjAO//KuQkuH+baCstNdiXcH+ZsXNrkY8xFhg3ZqSEesEZwISe7xLVD04W5Ek4P0JhiPWWR2D2ozUr7b4+yMr3+BxlBXQNBhJmOaIqyw8vIOUkOAZuwBNz3V5PzARTsNTaj93889pZJzdXvemPtcS8ISCWvuUoC5ZqAs+Ayzv4gULFvzU+JR+0+8ipx9SUPPth8xQWU2cu/CvldPssM/rwdPYqExk5/ucu/fzvoV0Iafz8aV5xznjNKWz8SlpmX21mrjDOE7kNI8vPZ10/badyGme/JSSktOs0OZ9Z3Kay/+HR42pKkvdb9Oo6tcPwn6vx86jVotCldMYNVqqbUZ8OKJpm/PUzYFMkYpnyWmkBnyCAUNpDNsyEn2gHw0PLbNtJiVWLVNRJzGJlvY3G1WTq1ou07S++COO1195wqgmpuQDL18J23XED47TocCVHc6cWO96Xr7aU7DBpB03dzvMEFithaqCih4vgvUDpY0YP1JIYPViRXdoKLclxhlSr78CbPI4PEVtif1IHAM2jjgJmFEbiu3QwjhiVyXpoNcvl+dz/um887Y6P573oeZAqA8ppJnEMrv9IOpa30AiS9TUgs8Gi4K6YMGCnwo/q37Tj0VHfepkKHh+bOmcnObl2Zk/fzyPf7o2S5ESIU75oVkhtU6JaYozg9JJS+yZnBpzJoijYM+B/ff30xjSvtfb3NuaSW/ud82EGLiYrdp2GghwPKSLWvrmzTmU38gleD+rxIeDqpW/93tKYI2o4tq2A9pLumKiSQemOKiIHv4pOV3J2ZeTDARD4RJ+8BSl5XQJ7MyxUlmJNWpK2iTaTk1QZakv1tbCdquvebV19KeRoU9sKs8wCisXuNtHzXHt4O5uS2k76nJgvy2onYER7Lpg7PUYYlQ6LypDSCVj+0i0FvGBKEIVOoqqJsWEHwN2vyEeTlShJYpFhhFnovaBmkDhEuXYkZzB2AITOmI7EPsDDkFIlEzu/Xn37Zxozt/Sefk8CwGmNoH5eh8t2uf+04WcLviM8L1SUEVkKyL/gYj8voh0IvK/isg/+RNs/4+KyP8kIo8ichKR3xSRf/bnec4LFvxhw9z5nh/DH6zf9Ln9f8pkqDnmsU/w1KmfCV1ePldJM4nN2+fyPykhTNFRc3LqCrnscxi0J7U5pcukp+12UmB90PiknFOax4pmY1RZTvvJx8/kNJ9bCJPByXvwoyYH5LaAt29VPRWjLv31ehLUjke4uYFvvz2ruJJmBqzc4zBXOgXNOZ3Tp4mcro2S73Y0dN5QFok4jNS1oRugMpBm5FTOyum6iGzWiRBVKY0RLNp7UddnQl9YtpvE6ahK5hgtNo7s9zrz/vAQ6UZLVVjubmq+eLHhy5cVaRSSGKqVQVK8eIYKGho/EtoHHAPD8Q3jcMRtQdrI/sUaU6hSaohIUPXUVg5LIMWE8So/m0HlayFhuobx7QF/7Eg8XK5ULu/ncaWZWGbD03V0lDxzn/P2DdM0qTl5fRaZnGYFdelBXfAZ4PumoP7XwN8H/EXg/wb+DPBXRMSklP6zj20oIn8R+DeB/wT4t9H/Yf92viOdY8GCBZ+O7yKmzz3+Lqf+c0T0Q278Dzn1rw1TeR/zbTL5y+X9bIrKWaN5fWfTkxGn8xGlPgiumBTXYVCyeHHley1ZGwMxyWW/mZzmEv3xqPfL8/9O8x7TbNzKxxjHidD2vZLhPDGqqtQQ9fh47oMdddlqpft7+1bJ8tu3esxxSJfX3/cQYlbcElO0/DxGSpii4yPV+fz60eCcUSLIiFkbxAgRaGMmp6odGgQrEWciISqhdSZSFqqkvnwlbFaRojS8+iLx5quR5tFr9FQ/8PIL4ebm3PM5JPY7sETKEu6+cIRhoCgFV1n6x57tJmGsENoTpuoYQiC1PRI94iPFes2NE2R3g0lCGkdSvSI0DbZvsCtHGgekKhneHChTwIYBuyqJwVHSIX7EbWv8b38LeAwGR8QxUXnO9z0T7bez564NUvn+wDRE1pxv18COqS3gPWSpPvehLgR1wWeA7w1BFZE/CfwJ4M+klP7KefFviMjfBvx7IvJfpJSe/SEpIn8vSk7/lZTSvzt76n/4uZ70ggV/iPCTktMP9Zt+6LvzQ/2m14an/PyHwvfn28BUws/3rzNQ83oxgjXpSfk/k9MQ5ZJF2vd627VaXu/7SYndbrXP9JJ7Kk/L+jmAP/eMwhQ5Be+T09w7mlsCcnrA8ahE9M0bdem7mZFqv9f9Pz4qUX181PVSTJeQ/+C1bUG7I0e0rJ8LzTl1U5i0O9VEywJ8NJxGw6qASgYiSk7fHoX0xMcecQjOJkoX2e2FYUg6utTpL4P1RqhLJavrjRC6keNjZL0GPwRcAbtNJIyJsY2UlSGGyO0+st1bVqVnbBNBCmxUEmydobQetxk5jIlNArdbkRoYfc/N3Zqi7Sj3parrw0C1NqQ+4GwkisPJgBlHbPIU4qlqoWhOej1EkMIR256+64mM9Hi2aLNEYhpz2jApp7kv1Z6vOjwlqJnEeiZSmhXX7rzNvBHjCTI5zW+qhaAu+AzwfSrx/2NoReO/vFr+l4G/Bfj7P7Ltv4gaRv+jn8+pLVjwhxefWtJ/jpxeb/uTktNrM1R+fu7Uv+43ne8jq6Pz+/Pt8mNSwtn0hLTmWCYf5DK6tOvOE5kaVVnn5HS91tL/nJzOlVPvlVgOg5LLnGU6N0RlcppNVblPtTkl/Kil+cNB133zRsP3c/nfe3jxYjJd1bWu+/o1lwEB9/fQd+nc15r94SvgBqVAewrZoS7+gDmroA7YFDAGQzsaagclAz4aXCE0reCuyKlBSCQkRVZrHViw2+rFLSshRIygvRcAACAASURBVGGzTppyUDlWhef+HhyeoU/UzvPqpT7fN4HHo2Fdq8GqLBI320DfRhJCubKMXbiY0pIPREk4In5IxKYn9AGqFcZrX4Ux6BSoqia0A+HQUNYGM/YkYxlbr2qv1z9e7EdSP2BOB0YvdMeOI685MF4SYY9MCuqIKqErlPLn4a6T/ez8vmZy8MM00nT+/FzHfu8jlBXTZYLUgs8M3yeC+ncBfz2l5K+W/7XZ8x/CPwD8deBPicj/JSJBRH5XRP4dEfnOEr+IfCkif+f8H/BrP9WrWLDgM8Jz/aHw0/ebfugYP60Z6tqpn9N1cul+HsB/TZq959JnmteFyR3fD5p/mQ1Lfa/9m80pXchjVmQ3W6EotcSejzkM2hfa90ogDwe9zYaoTHave06d022y4np4nKZUPTw8JafZnBUjfPHFdCwRVUrfvlW1dL3W4wefNHYrTc76aTzpnnW1ZUyOHJSUVb1NBfXaUFSG0kFtVDmtaiWnRSmMV+TUkliXkZtbueTE9oNcplptN0mNUSvHF3eewwFOD15JYhhZr+HmVkg+MARLWSi5Xa8SuxuDJSgZNRbpO8pyJElHCPe4smWMBjN21FXCpICznnoNtCOrjblkzZY2YKKnMiMehymshvenhBk6TGEp+iNiBFcapHA4PPHtN5yImHMh0qEZCMP5ys7LfXPS6XlqgJp/CefminkMVTZZzZsx5vhmveY3Y+Q3j0d+89tv+c3f/m3+5u/8zvsfnAULfmD43pT4gZfA//PM8rez5z+EXwG+AP5D4F8D/g/gH0R7WX8V+Ke+49h/DvhLP8nJLljwueM5cvoH7Td9bt1PVV6vn8vl/GvlNJfi5+rqvE0gJc0zFSbxKT/v/aSYZvd8WarqKEDTTs76TGrXG9GQ/nFSZL3X0nomssfj03gr7ydF17lpnGkO8r8YqZp0UZKPR1VFv30tdDMi2raaZ5rV1pTUfPX4oE7921vtU41BifgY5uR00u8qZ2j6RCanFiVPt3tBjHBqlUqV6NiqwgqjF6wTej+RUxCc0T7RqpYn7ZE320BMghPY3whiData/yiHd4HNVhiPveah3sDQeE6HRIyJVREvpPV254k+MUbHbptoHgaqdUs3tJQS8LWDZiAOia57IPYjbl1yN3SUmxtiEmwaGYuS1DfEY0O5KdAwWYiDx8YRmgZbBiR4xFnMqSd2A+Zw4DgMeHpODNRok0SPKqYbJtvZnGjq9Xv6xXv922zNZJLKPasfG3X66yHwr//Wb8Fv/Rb8xm98YK0FC354+D4RVHj/x+GnPmfQHvI/nVL6z8/LfkNENsCfF5G/lFL6Gx/Z/td5v7Xg14D/9rtOeMGCzxG/yH7T68fX/abX+4Snpqb5+cxJ4PXjvH2etnStxIaoU6Dm5NTaqSSey+j5uRCF9XoK0s+EMeecZtd9Jqf53PN6c+U0k+pshBr6dDFm5dzT1Qq+/kYuU6eM0fVfvuSSHpCvzemYOByUnB6PSnRDlHPf6fMB/L2Ps+fUf3+zUT2UJJpukEZcZakqKErh978SMBYf03kLoXRCYQLWCquVEudXryAMgaIUuk6NZGWtf4BtNfL6a53aNHaBeiXc7BOrKhFS4O1o2W0iJmn/6m6tY0kRod462kOLKzze92ysYbWt8EEgnNjtK0wDwRVsdgVlb1lvSyR4em+pqkTqAwUjkZKitMjQ0w+RlXjNSI09FAUy9pgUGI0jnAY8R3pGXqCENKIJsno1pz7Tjqn3tEYJ7BxZpeZ85d15fzmyquR9UjvHn9tu+Sd+7dfgV34F/vgfhz/2x/gff/d3+Zf+wl/4wBYLFvww8H0iqG94XiV9cb59+8xz821/Gfjvrpb/VeDPA38P8EGCmlL6BvhmvkyWJvMFfwjxsyzpP0doryOkPmSGmpPH+f3njpf3N4+ZyurknKwGny7rZ9USzv2mZxPUE3JqEn03ld5zzBQiiEBdTSNI8zZdp6X0nFl6PE7HyQarfA753PL5zslpVkKzqWqzUXKazVJlqQrtq1eTYprbGl5/q9uvVpqTejopmRwamArPc3Ka7+tzJTAg7GtIYghBeDzBTTVSroymCozC67dCWVuablJOC6uO/aKA7U5Hld7eQndSdbTrhc0mcfvC4Gzi5V5NUc1JyWffJlZ14osvoDsGTo1hVWlD8O1tZLU2bFaB4GEIlrX0dA5s4UkhYQuHqy3m2NIlCE1P4S3V7Q033BPWNSlExHtMWRNPRzieKNcO8QPGBGLUlgCGAZc6Kn8EiRijanZpA+PY44is2eO5x6NENJfnDdo4YZmC+7MKmpXV+cdjrrBy3qZgcv5/TJ35sij4crvVXyq/+qvwR/8of2P5/lrwGeD71IP6vwF/h4hck+a/+3z7v39k27/2geX5U/qB5MQFCxZkfKik/7PqN/0Ucjp//JzKmQnovFz/3DYXUhrUIJTJaYzTrHs4R0FFuUQ55RGlpHQhpOM4Ec48/aiulSQ2zaSIzuOjvFcVNZ9fJqfzxx8ip02j62W3fr0SvvlWOJ30eHWt+371SrftOk9KDTE+8vu/d6JttechBlVhrRNOF3I6/y8x06oHtECt2w0IaydgDMMoBJ/YlyO2UHJa1aLh+VtLNyOnpRVWlWadrjfCOGhqQBwD2506/Osy8uqVnsGq8BgD795o6X5sPXURuLkzjK2n6S19D3UZ2e6EsjbcbDxxDCRjWa8SzTGy24HBIdFTby2hD0gcKNJASaLcVazsQBBHWYJJgSEVOAkkr/2nYg3JWKKPjF2gCB3OJihLwhi1FaM/aU/ywxH/2LChp+KRPUo8N6g6WvG+Y3+Plu4dU08pTD8N5rO6PgVPPobO6a+R/GFdwvoXfCb4PhHU/wbYAn/qavk/A/w+8D9/ZNv/6nz7j1wt/5PoZ/9/+Vmc4IIFnyt+Ef2mHzNDXYfvP0dOgUs+6fy55zJOUzorpik9Ke9ng1JCLjmlwzCppEbSpa81q6bDoH2pYrTXtKqUEzTN1P+ayenppMd/fJxI95ycikzTnbLi2XWaTzrPUx1HLsrnmze679yDen+vYpkaoTzDcCSGB968bui6R1I6IoyX7Y+n3Fc67z3VECTLO/KIUzl70GtrqFfCai0YURnXlWoqqldqirKlZegT8UxOLUpOg9cJTs5qFumqDJSV9qk6m9jvwZWGVeHZ7eDbH3v9W3QDVZl4+YVhXYxK0PtIXWrQf13rJCxjINoCKVQCzz3E+zqxWtV040B/esNpODA0DV03EgxUoQFjSAjiR2zlkK7FdifqrcOkQGVGzbgfB81tTSNl90jygaJQNdmkQHp3TwwdBYkN0/hSh/aZVUwKqXnmdj5lKsdPPfk8XH92+EC0VF6eZ+Q6N91fsOAzwPfm3ZxS+qsi8t8D/7GI7NGS/J8G/mHgn84ZqCLyn6Kk9ddSSv/vefO/DPxzwK+LyCvUJPUPAf8C8Ouz9RYsWHCFnwU5/a5+0+t9fJcZak46s8o4d+rP1dJMcC+RUildJKo5iXVOS/lx1sd6KaWP6ckxs+FpGLVvMxt98nSm02l6PX2vj3Ov6eGgy2OcWgDyusUsrzSTUz+mCyHN53VqNNv03Tvd7+HAxYl/dzeZqfp+gNTy9u2aGAVjEime8KFETMHh4bl+U/WS78ojh2EDJAoSnoaVrdnfVLhCaE8REwNSGqxV5dRYIRlL2yR6r/t1IlRFxEjC1UJdJXwQ7vYB53SbvtMS/nrvMBL58kt4fOtpWmFdevrOsKkSt1vP2AaawWFQArpZRdZry37t1ciWLOvYMwyaAiAxgBTcvKho376mjx4ZBpwVUgVxeMdYVdSFRl75eovEgB8iLgaMK0jJkMaRsfGUxiMxIc5i+xG7KZHDg772rsGHhHBgxYaSBofq0IKS04qnCmku9cNTJ77M/mUdOpPdeV/qR2HMFF2R36RLeX/BZ4LvDUE94x9HA/f/DbT39P/kqfEJ9DM+H8hBSmkUkT8B/FvAv3re9rdRF/+//4s59QULflh4Tvn8LnL6qWao5/pNr9f9VDPUPMs049qpf4mJSumiXOYyv8g02SmfV84wjSFdckdzOH4u53f9dGLOKSnM2aWZMA+DKqlNcyaWM5KZo6lyf2xZXpHTNj3ZB5xjpY6q1GZyejwqOW2aaUpVCPpYGHl4FGLUEafOQjMYhsHrHPl0TU4NkLipOx46vQ9gzwNJb+4CIkLfRuIYcKWhKDTf1Vjhzb3FGM7kFEorl6lQ9UooC31Nm1XQ8ym0RWC1Fr74I5YUE+vS4/vI69ewrgJjn1jXkS+/0PaKgKVvAutVwhC5fWnZ1AEjiWgd5XkEaVkJpMhmFShWjuATVWEIoaIKFnGCrRwmvGGQiiqBSarIFqHDdyeqjSqxNnoMUUeeJo9LI0V3IERBYsQaYYwO6UbGd/cUjIyMrBAqEgVPR5lOjQ9PlyUmNTUvm9+/LmleU833qGf+1ZTvw0JQF3w2+F4R1JTSEfiXz/8+tM6fBf7sM8vfAv/8+d+CBQs+gk/pN4WPk8fn1smPf1Iz1Hw/88lOuY90vu85Ob2cW0ykeYzU+TljdKPEpMZ6r72efpyIZDY59b2qpplIhqDEMpPT7J7Ppf/TSZXMrIBmYpyV0ny+ZTkpqSITOW1bLj2n3sPxJFirZfzcMlBVut56PZm7+h6qMvHw4DidEilGjAhtl+j7BEF4GJ4np9si8NAVqOc8UWLAJF7cART4PnB8jOz2Sk41KVbJaVXB4308700wRLYbLeuXhV789UqvUW4RGJOwuzEYSVgZ2awTb75NWIn4MVGVids7Q+W0mbc56UQoY4TdVrAE1lUgGocfhW3lGXp0pOk40A0Wt7EU/oCXiB07TDK4TU0VG0ZxWDNixeBtTRpGfDsifsS4CpIgccR3HkvAhJHCJVw/QGGxYdC2gLYlNg3aLrHCMmBJlwD9abirfrEGpl7U/JGZf3SujVHM1pHZOk8+W9fb1PWkmmY1dSGoCz4TfJ96UBcsWPALwKeW9D+FnOZ1r/f3KWao5/pI52NGM0GEiazmbS/Lg9Kn3Hc639YV04vIZftxnGKjUjpnnJ5JZz+o+Sc/znPt84Cetp1IanbrZ5PU6TS9zpyJms+/qibV1Uii79JlSlUmp8MoHE+q8D486L4Ph4kMr1Z6riEouY5BY6Tu70v8WGFMQ9O2tG2LpaAZcifkU3JaS6AfQSlUTUHLSMtmd8KPiaE9cTocqVdRr4HXXtR2sNRVom/jmZAJpVVyGqJgjWashmSoiohzUBaJYRQ2O0NVJkwY+eJV4vFd4PERCpeIY6BaGe42AyEZHh7U1FY4Ja67beJ2HxGjrQV1EWhOasIiBIrasr11cDphTUI6nfhEXSIp4opEMoI7q4siUIQOTieqXQkp4SRoyb/zOuErqvSejCWFiG0OYHUYQHg4YjhRYHFESpQwhidXeVJDc7nvuvdUrtaFp0rrJ2O9nn7pOTcR1IWkLvgM8L1SUBcsWPDzxc+j3/S5sv9z+7yeDPUhpz48Lf/Pb/N2RtJTp/5MaU0IRXkVIxXUNJUNUdns3PfnEaa9XKYw5eVZsQQlidZOYfin09QKcDhMrzefRz6nslRia4wSrxwH1fcTOR29Zpvm9oGHB91/JqSr1Uw57RLO6Tpv30IMlqre8fhYMfSqEh7aCqVFEzktiAQifUpnAuSo2JGoubsZibFF4kgYI2IHysoT4o6yKng4WgqnE7ROPYCwcjpyNCahKhNlqdfibueJSagrnRa12hhevkik0XN7C36IPD7CrhroOtjuDV/eqXw9dJG+0UlRJiVubtRkhQgeq8qmDUQHzkSICbH65nEm6lQoAW8LohmR4UibHOuqoEB0SpQfCUM4k1dHSAaJoyrQSfsmqiJSdkdICXtOMwhDhEPLeBooMHg6auRyhfPbeu6fz/2lWVktZutllXQe+vUcPqSyXlAU+kZxblJSF3K64DPBoqAuWPCHANdmpLzsZ22G+tD344fGls7bAebq6DVxvewnJO1FnK2bSWF25ufw+0svqk8XI9J838OgEUx5ZOg8Lmq91u/9lKZS/Zyc5vuPj09fcw7dzwS468BZVXlzC0DXndsBkiq2x6Nu23Xw+rUS2qqaTFZlqfs7HhLW6jGPRyXp643Qtg5iTQpbjl2eYZQpkKGUiBXtvdRLqa77SEG92WFNRVkkRHYU9ZaqXmNdz2o9Um8spETbJI6tbrtyqpwWpbBeJVYrfd3rKhCijj0FDeJ/cae9C2UJlVPlVMaB0QvrjXCzDaquFpb2FHXbGNndWkob2G1UOo9BWwK6XtisNae0rIT1zmL6FmsSNgzYJOxe3LExjs1uzaresqnXFFWFsYLxA2boKNcOUqJIA2n0jK2nXDst8W9WGPRczOmArGqK7qDKKg2OAkuPQy7ZCPPyftat42zZ/Ln5x+P6/vVHZN6f+h6K82yp/CuqKCYX34IFnwEWBXXBgs8czxFD+Mn7TX8aM9S85D5XGa/3OzdDXbv4RXSl6+D9S49qlMsXeFHMlNSYLj2nmTimdDYvDerm79tZxukZ817PTFpzWT8rpyEoScyi1fWQgEyAnVXT1lwhbZozOR2m5X0Pb95MOafe6zms10rKc8TU4yM83OsI0/VGlVc/RM089fOSfkSnwneQChKOcI6RX51L8dudsF4nou8ZekgYdd0nAesoV4mvv9Jy+7HRHwClRAqnEVLOpguJX1c6JaqsdHkUy36XqKxe2F9+5fnmG3h44ymcwY+Ju5vE7Y22AfRtQEis60ThhNtdYLuK2MqRksX5EaK2DVgCziZs6aDrKKwqr8U4YCuHqxyVKxBbURUqnw/BYP15TKmc3ydSUDghDR3JByT0lCXYwz3BJ2KAykDyAbqecGxx9IDFIRSM9Ewkcu6+N6g6Ov+CjTxVWJltG5lGmT5HUj+oolo7lffzL6VFRV3wmWBRUBcs+IzxIXJ6jU81Q83X+5AZ6jlyasz7+8rrXpPTjBhVJczO/Lmb/3Ib5XK8HMCfkp5IngqVx5DGiEYeDVP+aVZOQb/rcwB/Jra53N80Skgzmb2/n9r9spqb2wOs1T7RwqnSmx36TaPxUTHJhajCU+V0tZraCTYbJdmn0zQGtW3OU6LWSk5Pj3ohDu01OT0AbzF0VMU9PUcgsHKGJAZXCLsdiB/xg2UY9HXXZcKVOozgqx9bNquoai+CRcv6rlDzU255TD6w2wubrarX3aDmqqrUv9uLvafrdJpUbpm8u4PbXVADVky0p4g1OlDh5YtE6aL+HbD4Th32ftQpU0IiidF+Ua9/vAr91SCl5nq5Qt9gcfBQ1xhJmOgxY69ZtylSpp7YdPRNoF4b7NBiqgIXety2xo0tZr8lPTwS2gF/7BBWBHpEO58Bde8LU0QUs8c5bib3n8rs38emx8yJ6xxPPpL511F+02Wyev1hW7DgB4rlnbxgwWeK50r61/guM9R8m+eUz5/EDJWfg/ed+nMFU+RpKX/el3o5jgg+TOT04uo/n1Q2RI3jLNzfyoWsDsM0onSeUZod/cOgy3JJPzv1x1Hjn3J/aT5f7ycha+jTpc0g9582jfZkpnQmmu1kxHrzZhpf6r2W97NyOldY798lHh61hN61ieagZW4lupnKWKAHTggbbtc1h3EN9FTGq3mpEn7pl8C3Iwlh9BWb7QprTngZ2e46uq5iXTu6Xgm1JVIXic1WyWldnyvLIfDipbYqxKjnv1oLv/RFpHKB7SqwWsHrbyJ9l0ghsloLm8qz2RltfThEqpVBREl5GCOrFWAtY+svqvh2C2n0bLZa2pdOpxr4U6+O/HWNpEhVJrBq6jJOp2HRdYRTR0Ko1pZUlJjSYYgwDKS2o9wUyOGRkAxpGLESSW2HGTo4HpHxHcWqoiBREPBMBqjE+479TE4T75cqPxQnlWb3P/TlfPm4pqRvFpgIan5DLljwGWAp8S9Y8JnhOSL6izRDzcnpnNQ+12+a71/MUGhpdT6udE5QxWhpPm+TyW8MulLuM82KaQjaZwo8Kff3/ZSfKjL1eubnRaZRo9mp3/dqTnJuWjelaf3C6SSoTHK7TjnD8SS0HRdy2vdTgP+bN0qG8zarlZaxQ9B1U1LC+3APTStUlZb0m6OSxeNjZLjEcOXCck+Fzrx/OOnyAkNZelwh3N1B+zhSrw2HA9SrAiMbkltjjefxwVJaR9MW9IPgU2RXab+rNYnV/px+0OgIUx/k4tMZg2G/SyQfcCZyd5v45mvtYa3LyOANr24H7l4aujbRNVHJvotUW8PLG8+qjBhrCMlgjadwMIwJmzw4gziDGXskRawDkRHKAikd5nTA3TjiGIgmYtY15jRgwwBxRJy5RCyE6AmNp14bzHEAMZQykjYr5PEBUzrCu0dSNxL7EUtBah+wOBz3T8r7mYjK7P6csKbZ8ry+ny2fO/g/WTXKY83yh+vayb9gwQ8cC0FdsOAzwk/Tb5q3+2n7Tef4kFP/mpxejE35ufN4p7M4+h45TQjGPm0DsPYcMyUTGc0E0/tpm3xOwzBliM7VXWun3NJc7g9hipHK/abZWV9VU4zUOJ73YZ6S0xxVdTzJxa3fNE/J6bff6jGzklrXSnIzgR4GvS6Pj6q+OgfRR7pWQ+rfvYk0I0yUJuJIJCzrc2k+IBSoG926gv0u0Tx4ytqoOmv0DynlisLpD4Te6x+o64XBR/b1VNaH87jYMVDVOv61qqCuEt1oudknaqcl+bsbPYfmGHU6k7V8uRtZr6eJX00DpY2ICLuNOuk3e0sfEt3xSFkMjEfHbmORFKm3hf54OQ3YwhBOLTYmgi0wx4bNTYFIoqwNJDW/ubEnDh5jDPXaIKnAmUg69gzdiLgBWxeY4zt9X/ke/EBalZihIzYnhoeGSgwpjTi0XxfChWA6JlJ6rYDmcv58usz1x+dTOnHm6iygb0Zr9Q2ZSam97nJdsOCHi6XEv2DBZ4Kftt/0Q+T0u/pN58e8Vkbnx5m3AMzzTFOaekznyD2puZSf+0yz0SnGs/noTGpzrFOeyuSDBsvn48Q4Beu37VNyWlXnsvwwKaIhqFLaNFO/aSafmZzC2d1Pwtl0KdGP43SMU6O9ppmc5j7PrJx2ne4nT5kqi3Rx+Xuv+z4ctXzunJLCrtNrMnTX5NSfuyIj26rk1K7oaSjoKKqBoqgpzyXzamWIkTNpFVztWK1gs068fR1JCO/uhdFHaquGqFWtPwRyTmhC2O3VxV+WcGgsZZHYr0aExM024Bx882PNGBVncRKoa9jtBZMCh4dI6VRBrYqIiZ6blw4poW8fMfbAMLR4/8jYPkAByVjc2FKUgvSdKqNnh3690qlWKUTS6LWEHz02jrre2bmWhpHY9vjO40qDDD2Fjbg0kuqV5ro6bQswRq+7paWoLQ5DyUggPHHuJ54aoK57Tu3s/rXaClOrADxVWT+Konga0r+YoxZ8ZlgI6oIFnwF+Hmao50rzHzND5ZL5fP/z9efu+xgm89P8+BenftSTuB51KqRLCXxusvJew+4zmc2jSPPzmaDm15PJKUzKav6XldMY9X4+p6qaRpUOg5LrouC9sr6xqj523TSStO+niVBv36oa6zTpCGsS61W6RFylqC/s8XAeX2pUHh69xi35IfLuCFO4kdp0CiK1QNMXDOxZuVtcuUHYsa5WrGqLK5WchijYwlCt7SWj9W/+KLLb67mPMVLZRFUrCc0GssIoOb290z98QkhiqKvEy/2IK4RNHdjfGt59PRB9RKwhjoGbfWJ/I5yOmqmaYqKuEjd3htt95OZWMM7QHlpS7ChshTM1N9uSYDzRJFbSEb0aqkwYkbIgYDHHR6pKI8WKAmRV0zURGwZC04O1rDYGqUpc7bDJ4ztP7TQuQY4HVYmjx7QnzHZNPJwIjyfC/QFDwdj2WFMCwyVCSt+TE+GMPCWfH+o/nZuf4mzbJ59DPoKy0gxYY6ZRZ8ZMI88WLPgMsJT4Fyz4AeNTiSl8txnquRioD5HT+XOfaoYyRgnEfJ2sqOb9WifvBfB7P7UAZJUyIzv1Q5QLic0l89xHmsv0eV9VNSmhWZHN6uwlozSqiprNW9bOMk5JmHM1Nauiw6DRVchkgsr763vtLW0aVU5Pp3OZPJ7J6VrP7XjkEo31eBBNBRAt6Xe90DWRooD709wHrkmc+1InP7WdMGKoraGsdATWpg5s1gkflPC2naqftlS3vZHE431ku4+cmoGuGXBYirJiVdsLoV+VgX7QbYdeyetqY2hOiVe3asAyKfDyFbz+ynP/oL2pkrTcf3tniFEd9P2o/aURoxFVLrHeWpJA247n94GwrgIpCqutpbQ94i3FyjK+O1KYRLSO0reUuwJbGKJASOAkYeNI7BvGNOL7HozFGauh/p3HOEM4HtnsLa4bCFWFGXtc8qRe47LGfiQ0R1Yvb0jv7jGMJMYnfaW5vO+ZlNP8sbzuP50T18vn8vpz+pHnLpi79sty6lVZyOmCzwgLQV2w4AeKTzVDwaeT0/nja7PTfJvvMkPBpKqCkjo/c8xncnoJ40eQmTEqk03vp4NmZ3zGOGo5P8SpNzWTxux8z+X258hpJrrzOKrTaTJHqQLrCWHAe48xDiMFxrjLdjmGahhVuZ0T3Jydmsnp69e6b+f0NVnDxQ3/8KDk1Afh8XBWdYdw6QXtW41d+vrt1G96/ouwsdq3KkYYEWqrY15T0nD8PPEpX6ubW0GcVV4jiXdvIraI9O2RoWsICJs6sd0MGLNlvXZUTsnpeqMBS1WtI0ybU+Jm46krJZ4v7hJ9o+X71Vp/NKyLkds7HXc6doGHxmBNAjGsa3X7728NrjT0J8/tztD2kTgGpIhQWFISyjCC0bwt4wdCXWOswSTBlUIaPU4iZlXTPgy40HJ8uMenkWpdcMKzjiOlj/hoWFcjgtUxqU5IRGToMfst4evX8KAKqq3X8PCAk0BpAj5GHDD7nfQkAxWm0e1pegAAIABJREFUcn9ePnf0z5XWvA5X9+fLnv0Nau3Ug5onOeSstaUPdcFngoWgLljwA8T/X2ao637S+fpzXMjp+QkfnrbI5TJ8TNMBrslp8Omy/xzQnzF6JVtzFTT3kmZymgP1Mxmu66kUP58aleOg8jaZpBrj6boj49gRA3ifKMuaut6SklMyPArjmTTnOCqYyGld6/3Xr/VY+ZqITJmr9+80uSAmnSrlh4jv1ZiUHxfFnJzm5M3I1im5r2rh4QQGwyqPZw8jt7cG74WUVJGtN5Ykoi7yIZJiwhaGtu1oDg1jWLNdCc5FiqIhpZLCaHassVruN1ZwpeHwqEH8NzcQhsh2myht4OvX59I/gviB7UvDagV9G+k6/WOst4KTyH4T2N1axJnL3yQFx9gXrKoTo0cJcopY0akAvhkwZYGtNGqqrMAYIQUhYhAxuNDjT0fGMLAqaypjiCEw+iNdF7GjwfuG9c7ijifieqU5qL4nicM0R1LwjK8fKLclvgu4ypL69j31M/ef5qlSufcU3u9FnSNdLXvu8QeR59/m3lPnlvL+gs8OC0FdsOAHhp9Vv+ncDPWxkv583Q+Zqua49JieEcLT42TzU7wyWF2eS+lCRq2dyHBKSuKySz+T00xgs7N+Tk6zQluWUzRUDsLP6+U81Dy6NI8YbZqBvmuBNc4J1ia8b2jbks3G0Q9yibPKfaYiE9ktS7395pupdzWT07LUrNPX3yZC1Gvx8KAkbhzUpX98jLTnkP6v31rmJX2I1Gi/a1kJ94+CEaNjQCVh8dx8oaSvKIXmlCjXBT6cjU4p4mzisTXaU9sNpCRsVholtVmr4rqtexI1xgovX+i5JtFJUOvSc3cHhY2UdeLlXeTtG+jaRLW2dA89X/6ScHMDKURtkRgC1kD0ic0+Uq4d9UZ/lQydZpjGaHlxs0KMI+FZl5Y6eqwrsN0JU0AqC0I3UtuEsyAxYkuDqQq6h54qDjRth60K6jzC1ELbjLSp4MtVQgaLNCdcaUiSiN1Acbcn/vhr9VO9ucfIeVqWFRwe6J+49fMX6Fw9zbeJp05+eNp/Ol+WVdWPEdYnyE3BWS3NyukSMbXgM8Jiklqw4AeEnwU5nZPRn4aczvtG31NoY7pEP2WDUkaMuZQvT0P38zHQbfNzl/B9zj2mUS6GpmyAyq/Be103G5VyNmkmp3le/DCZud8jpw8P0/reQ/Aj3gtFIec+TGEYBOsCXS+XczgeJ+W0bae+VO9n5DSqKShnru62iTdZaUxKjIc2EALUK+F0iPQ92MLwzbucbzrZaWpgtTGUteH+UfAY1quEk0BhAi9eKTnNQf71rrgQ77qMrNfw7sFgLXRNpOsc1ibqOrK7MRircVGuKEgIN/tE26mJaVUn8EpOnVGp/MVt5OE+8fAuUtaG2Pa8+tKw22l0ljFwfAiX90ZdBFa1mqYsQZMMKo2ySiGyXVs26zXbzQ0bAWMLnO+I/UgsKmypvaSmsAiJwgRs5Yg+UjJouoIrzpOqIl4c+J4wjBQhkppW05mGjlTViB+xvkf6jnQ8kbqe1LSYwhJOHaYqKIYTnvFiTcuYl/fn/aXpaj2uns/rPKeufpRiVvU02nTed5rvLwR1wWeCRUFdsOAHgJ+nGeo5Z/58m3m/aS7NX+8vxfRk+3leqYgSU2R6br6PTFoy4QP9/g2BC4HLRqZMQjOyWz+H8+dw+3xc51Ro6rr3yWnbTuX941H3URTgx6Q0MCppg0SMgveRsoK+dxfynMv61k6tAbmN4KuvzgMDzq8P9Ln9LvH2rfbPAjzeR/yg/ad1De/eRD1XZ/jqG4DM8pWtb5woFzHC4aABUzcbDcdfb7Q1YBi0D/XUGkxp8F6JYmHV5f57vy+s60jX6fnvdiXBV7ii03YIO1JUK3yo2KyVSK826tY/PZzJqQSIqpymBK+/DpjCYsIITkepbrcwdDr1ytnEamNwJvLyLrHeqfrnxwQxkUj0Q2RbR4ZYsl1D5U+kZChMJDQj5a7CY4jHhqLUDNY4gNSVJhwcO4qxP+e0llhJRH9CkqFrGkRW7MuAlQrpDxTF+T3rPbLfEe/f4irLeD8yHnvqlxvS4Yg1gZT0jXf9UTSzv5BhMk3NS/0fMkXl+885+J/b5gn1jPGpgjrvQV1I6oLPAAtBXbDge47nyOlzfZ95+fV232WGgk83Q82JJWTVk/fI6eV5M40jzfsxZurFzGQ1k8xsSvZBLt/S84zT63ODaZzp3BCVvSNlOY0pza7+tlUymU1Nh8PUo+rHc8+sh/W65HSqabsGEXMu8dc4VxKC7iNPizqddBvn9BjffKP7Cn56vVWlyunrN4G+HwjRc3oQYqroekfpIu/eaH8t1vD2TTzPe88FYFhbZflVDd0g9BFutyAxUJzNUKqiQTcYkqhT3xpVpzcbeP1G80Lza1fTluX2xR4YKGip6jUxVZSlw1hVa61JHO+9vo51IPjE7Y2WwH/8u4GIwUXPMAp/668K+40n+UTfn+PCCksYPC9eBIyzVLVgTaQ7RupKFeai5pzNCuLHi7JuuoYg2l5ggtc+WAmYBOXakJwjHHtcHJChJ2Eoq5LKOYaxwnXvIBiiKzDeU9QJaU7IrkL6HpoGuyn/P/beK0mSNMvS+36i1Ih7eERkVjVm5hF4mU1ABCsBdoAnLAj7wAYgWAQwXVUZxIkRZT/Dw9XfVN3CI4tldVfH2BUJcXdTakTDjp57zrnQd8TnA+HpgG1L4tNXQlvS+QnHGcvCeOYvzzU4XQPL9brL9fLaXPWXwsi8XwXyhmWHXtMsF4W+NURv9WPVDaDe6lb/xPX3gNO/1Qx1zaK+aYZKywSn9fILOFVLUP76OFrPDKVa9KOZEdVa2rxrhnQNTuMVzZQD+HOLfp3DWlWLznTt1s9saWZkn5/lvJo6XTStIWTW1VKUO7SpUMrjvcXakpTsBZxq/RqcTpNMiHKTOOszOC2LxG4LX74Guu5E8B1DB5ODYXCUtuVwsAyTzKTvT4ExZEiygNOkpG0+Os2xT9xvAeewlaasFJutyCecV4Qk5iSjE6WNUEgAv9WRKSSGSaO1DBrY7DRtqwlDomlLJifv33YLSWmCT3gn4PTje9GKqjLx7i7y5VPkcNKY5AkBfv8virqMaCLRGMZRnkfykXoj+tTdvcGYRHACcImR6BNVq8BYChMx4whWo6cBNwTstkYZjQkT2oqG1zlIhdwwpMmhJhnhpRH5QZkcbaVJU0lfljShw1Ql+vxIUWlh9p3HvtuTXp5BG2JSxOOZ2NacQ0FSiao/cwJaoAQKFvC5Nkfx6h17rSNdL0+r33lj+fWyV5Xv4rJJKjOm2SR1A6q3+kHqBlBvdat/0vpeW//XwOlvaYaCN8DpvOAanF6yR7X6hi29gFMlUVOZMYWF2URJZuZ6xGl22+fW/pokyoA1jwTNLv7MhGbJQDYxgYDT43Fhax8f5ZzadgG6mense3kuxliaRgBpThI4nWRdY5ZpUxmcfvolXUxcF4NWIVrLx0cYhokUO8a+IUTNNEWMOnM8WYapkpGpp8BxgHXjd2NF/1lV0I+awznxbhNJLlDWAkSLcp64hcUnAZdGJ4yKJKXFxJUifSe5qiklmnmMaVGA6z1tK1rfooDdTmQG3iWawtM52G8jKkVCgPf3keNL5PmgKZRHaQGNVRFpq4CPhpcnMW1VtehjP/xsaFol055UktB9NYf21yLpKCtF4Tt0oUjThHYjZlsRlSb1I9ooilJSHspdTfSRNHqqNJCSzHgqKo22idEp6v5IHCaYQKmAJaHHHr2rSP1A6jps1RDPJzi8EJ4OcmOlJ1wK7H2ijI4C6Ob3o5x/Wl4LMLI+9RXjma/R1bq5ciDUWyarN6tuuERANM3SLshg1d6+0m/149TtVutWt/onrL/GDPU9cPqbmaHesO6vwWlCxnGuwWkGkzFymYyUjUuZZRUQICe3zjjNetIMTnOMVAbB2SiVdaWZNEpJvrNT+hacns8LOPVeAvMViaZZHPYpCQk1OXVhgK2VbUG2O50EFIOA06w5nSb4/CldgHWezlSVCzidJlBpZBgUMWmmMWI09KOhHxOFiQwnz+EVOFVsS42xSoC0UxzPiYdNwKhI3Wr2e2g38xtp7SXvNcWEJuJCdupHvEvCrgYBzkWpaFqZoGQLGfGZErRbjQsarRKbynM6wcN9pK3lvB7uAlolHp81OknQfkrw/iGxaSIBQ98J8DRa9LHvf5JJVlUpr4t3Mkkqjzst5klXF8eZUhg/kmwhNwHJyUSvImKVAFGlFRq5UwlOzs0YsHgKm6j1RHIelyyVP2MKjRk7CfVHnl/x8Z40jERtSUqTjif0tmUaHfZuSzW8EDlfviwzEIUl8CszqGu29Lrl/1alv2CdV1UUS+5pBqP5As961BuDeqsfpG6f5Fvd6p+orlvzv1Z/ixnqrwKnLPPu18e7tP2VknZofBsEr8eZ5nUyExqi5GRqvYwyXU90yq39DGqNWWbXh7DoSnMMlVLC3mXgvE4QOJ0W1nMYJHdUkS4tYuASx+S8urCxmSHN55cnRGXnfg7dH/okcVHzSNWikBfJFortTsCpnyI6Bfq+wLtE38nJ9QP0Y6K0ir5LvAzrBrGiKQzGyiSlcyfmp/f7KC71Ql2YUx81qrDEKMwpMQr4qoRdPb5EkS4GOU5hJcqqrsEkT1kJAPZewKnWsGkTpRZwumki21bMUHfbQNskPn9RDOdACpFxUvzuZwGnymiSD/RnOc/oAmUl2am7rbT0gxdm100Th0NHMif6acSEjqZOwl5PPTEkdGnRRuGGgNEyEMAYKDeSTOCGQJlGtJo1zaVFaxjOAe1GEorgItpqjIro8xFdlxg34A8dmkg6HDHnA+HxhRAVZWMwyqCmgRgTCXMJ+TIswfuZEc2PwWKQyuBzzYx+zyzF1eMXJc03C+UiU1rJXUhmTTOLeqtb/UB1+0Tf6lb/JPWP0pv+tWaoFNM3Zqi8bUqycp76tF5nzbheSwUuwDctEVO5Jb/WqWYjVGY1MxmUM0azySmE116RqloA7Xr79djRaUycjrLP7XYBvNMkIC8fOzO/mZ3NE6YysZenTJWlgNOvX5djWyMgyRaS//n1K/hR5tf3vSI4y/lYonVH7yx9HylVQXcueO7WDWBFYzVlkdjuNeeTaGTbwuGdpq4lnH9/B8ezpqgkVqquEueTgMCmFbf/pz/FOdcVurMYpZRWNLUwrEWpLkyyrQzWSls+Oc+UoLQyqtQYKE3g4T7y+KgYO2FxUYqff5Zja6MYO8/Lc6KqNZpI1SQ+/GxkolVIxOiJPqHVxLk7o/TIFAw2jXjncWpLjcf4kVCKXsOaSCqkta9DIha1sCuDGJyim1BGclALHbBVQUFHPAd8N1FPJ1RbUXRP6MJIOkSI2Hc76E4Xxjw8HSSJYOzZNBbTdfTxhUgkAdX8L/Ftez+zqL+mL018CzrfcvBfZ6Je9pI/nEWxjDtdh/TnO75b3eoHqBtAvdWt/gnqtwan12wmvM4vXa+bf8/h+t849TPzOUdFwcJOXmtT83Eu7f20tPKzljT7OtYANwPC3J5f72dtchqGxe2fQWpdy7IMYjMbez7PGtUxMY4CLK1dRo8WBZzOi7wgM6d5+3zMvpf1QfahtQDRvhMAmhlfoyXI3hZwdwePX5b4KOfyJCVLUe0Zhpq+cxRa0fcVz93aIqMolbCbZa3pu0R3CmzbhDaSXWoLxf09dKOhbmX/ZZHozomqkizVqkz8679CYeV1685J4rGS4mEnRqeEYrOBrldUrWHbigxABU9Ri9nr/k4AriFwv5/4+uT4/NkTJyiKknZTstsEmkZYy2mIFKW0/jWRhw9i/CorRV1EukOiLiM+TITkeLdtUFpTujMBT/QDRkW8rSmsAu8gBgoLVkUorLTqo6M7jtQmgpfPp1UBHQLj2dD4kcAcsVUVFEY+ZPa+IZ07Uj9g7rek0xl1POD++AWKAlVVxPMLhU7cDyc6NgSOgGhPawRkhsu79Rqc5t+vdaXXl/JbI07fKgUy4lXp5e6qrpcLaZ1/eouXutUPVDeAeqtb/TvXPxqc/lmnfkyvmNVvwGlapj6tDU7LSSx/voqRQlr5ecpTXpZzQte7yLrSDHwzM7pmRFfSRHHGzwH8ORw/P54nRE2TgNPDYTFfNc3MnCpFPyzHyIzo2pCV0wFOQrBxPM7ru8Q0icnKe2adpbTPy1LA6ZdfwjyOVeFGyTUdBolamnrNNGisrhmGxNM5c2iiXDSIq74qE9OUOB4i1dySBwF6u71iDIZijtEqi8Q0ROpGoM62jfzpT2C0PAfvElUjb8y2DZSFnO9mA/2gKFtLW4uutFCeeiPs8MNdoK4husDdR8foOj5/HoQBNZGQGu52UDd2BpKJZCy4ICasncYUmv0uURYRP/hZHwvnPtC0ipAMbRwoG8PkDWo6Eps7tBFGMEs8DAFjNaayQMT1niLKZCeUSBysjZiywB4PxGHCR0ulJrRK2OGMbQqSlzsQtduiuxMqBZLWxG7AB81meAGrUCphxp6G0yUeSrO08h0CHnN7P18GOQf12ih1zZSuJ0itH2O1zeX37RbC7ADMrf1r3emNOb3VD1a3T/StbvXvWH8LOL32LK0B6F8MTmd96XfBqZonPq1a8tkZD7J9buWv93sBsEpGZeYWeQaI2VCUj5V1m2u3fs4fz+zrMCzt+HweZSnf1V23MK953cyaDn3i5WVhXNtWliutLucDS8d0LRHIo0szY3o+i+M/s7FPTzPITgljBYhWFdzvI19+CYQojPHYy0SoYdIoa4RFPXkJlR8Dj6f1DCKFJrHf64ue8nzwlDax26vZva7Y3Wl8MmgtoDlFefJFpbFWwOnhRd70EIQFTUpjTaIuAm3LhTlVWqGsoa2CTGRSXiZZnRJ320BVicbz/UOiKB2/fB6JrsLqmhBa3j90tJsJk+Q5HXuLShEVA5sNPHzQ1I2Sz1sQ93/yMjGr3ZQoo6j1iNWRGCPpfMJqI3raJCYpFQNay/sdbUlUkh/mTwOVmlDeoay5rOe7CRU80Zb4bsLUBbYWGlmXElSr3SidguOJeDyTnp6JymA2NVFbdFtTPn+a9aTF/JlfgOj6izOtHltrR6/1p9ct/+/qTN+qNA97yGPKrF2CftdRUzeQeqsfqG4M6q1u9e9Q3zNC/SXg9PrnW2aovOwbcBrTq2Nk8HZ9oNwqX4Nd72Wn6+io9bnomUXM+lRYHO05unE9RSq79bMxan0K6/zTYVjWL8tlDHnXvTZf9b2wflkKcDwuRiZj5NwSEPxrMJ2Pl7/7M+OamdPDyzIlK2enjoM8aVsIEC0KeLcPfPosoN5NiWkQMDs4QdtjH2YWWE7483H+fYYuCsV+J+M+VYqcXwS87nYCJKuKeW68mJi6DoyKVCUoLYH8xCVGiiSAOiRNXUClPcbK+Vnj8cHhfeRuZ0ixoCwFBB+eAruNjENVMfDuXpII/vBHj+sjWsmb9PPHSFlpVJzo+5LRWTQCTqvW8OFnAaalDlRF4nyMNJVs71yi2ZQM/YAfD6jKoM9namPAtphCo4aJaUqUlcZqeZFtKQas0E9YPFO0aBVRhaXAoVPAJjE2+WiobEAHTzEcsbv6Qo3H7Z6qf0ZZRVTgnk94LHX3AkajvITiRhSa6cKWvrawvQagkbcZ0LX+lO/8/mcb82unfnbwrw1SN4B6qx+wbgD1Vrf6N66/BID+2rK3wOn139+A0yvjUmYcL3pTpS6gLYPB9XG8E2Cq9GvQumZc/So+Ku8jH78oFm1n/pejpNYB/FkOkOOkcgB//m4uCvlOzlOjYNafDonuvMRPZZBZliJRSICblvPLzG5ZzlKA2X3/8sLFpa+U6Dbza+CcaE7dJC9kNnkZFbnfJT59FrDqp4ibwEfN4BQqRYZzoOvV5aT/+ATrYCKDONy1Slgd6U4RHxUP74TtbBoIymLnhKFxSGgSdSuvfVVJjJTWMIySjnA8SBh/00CpPUUpGaOKnqJ44jwOtI1lGg1V0RDTFj8qChO5uxNzlEbA6dMTHB4heEkDKG2kaRNFEQnBEKPGjVFc8lZz907jAzzcJwyJ4CJNLVPHfNLUrSJF2GqN3W+JfqIoSsqmJamSOHlUilQVlMZjS42PmioF4jTiu5GqFO4ymhJSwtaGeOhRyQlb+3Sm2mqZ6HQaUJs96nTElFomdJ1OuOcT9nQUKUpdoEOFKQ3m6y8w9UBPZAGR63gpkC/QNRua2/3rtv26xX99ea8NVb8KVFNawOi61m3+DFpvOtRb/SB1A6i3utW/Yf2jnPrr9S+xT4g+9E2nfgajs/EpEzQXp/5cMaRXbvrrc8jbXzJR0wJOYWFP18anNXO6Pu91vFQGp+ux4rmbOY6z9nMGzvOkyov+9HCQ7Xd7dZETDIPoT3OGaTZYjaP8XlWyXYzCvGqVGPrFvBUjPH6VDFFtlrxXFQMP7xWfPyuZtjSJ294FLRFVTAz9wLnzKDQxlvzxaT2HSBr793citSi1p+8VnVP8/idF38P+XhO1ZtPObK+Xdnmz0fOUKnmfikKeg9GJaRQD2P4O8J66lqSCGD11+8yxf6K0DVUx60bTCZMMipqPH6Gp5C7iw+8kqP/5iwdKyrImpY537xVFESlMiaJiGhM6BZTR1K2mqhV3OwGs0SeYmXuUoihlbGwVOmxTolWB9R612Uv0mNXoaQIl74MxoDYtlQqkrsefR0rliE6RjCVNnqpWJBepbCB4yzRNVJW8P3Y8Yu82KCd3Ir7dUPXPoASUuv/3CEWBGTsiEYuHOHGiwHNEUWKZ5kb/azPU5dpjAaXX5qhrnWneB3wrDVB8C2IpSpLSqLKUu6gMQtdOxPzYjUW91Q9UN4B6q1v9G9VvAU7XYPO7Tn0W49I3Tv05v1Trt7ddO/LjtVN/fV5zLE+K34LTPEUpf2fmNnpmTddMaq4MVnM0lHMCGrOZarNZ2vAZ5MYgZqXTaTnu4SDb3N2ri6t/mhb9aT7HtXGrKKRtH4JoTRXpopvNDG4Gp1mmkF+sh/eScxp9ZBohJM0UFF2XUHGkH84cjx1ESDh+ebLIwMwKqFEYHu6EYbQ6cu4U3QS/+6gYBrh7JxFSxsyvV0q4UcBpCBJarwFbKr5+kXN3Do4nkQbgPXf36pJ0sN9PPJ96StOw3zcQPJGeyijGYeKnjzVVEZmGyO/+RT4kn//o5XWyFudafvrZstsFSqPwvuTlWTSsqdbUG8PH9xFTSIxTUSZOp8B2Jx+cyUneajr30tY3CXU+g9a4EInKEzpPQaIqLDpFzKZBq4gOjjBNFyBsNISyRE0jZWuIhxPKjaSgiccz5qHBxhF1HFG7PYwyLjW5kXQ8oc5nzNDhEKBbqAnVbolPn+mfnzjRYzGMQMMy3nStL1239f8aWPiWQerS7OA1+L2MNyuK5WcO7F+HEGdgemNQb/WD1O1W61a3+jeofxNwGiSAfr3tK3Ca1AIsr44b48yWznb9tSZ03cZHScB+3mb9M7Of2bORl2VwugaX65iqbHLKuk/vRWOa9attu4DFzJrGkF6NLh1Hab9PTtFuFuZ0msQAnYEmLOA0JwVkN/7xIK9fNkt1nbCVj48wTtJGjxGsCqQkIPjxa8JPkWGAqIzEOZ0klH8YJl6ez6jYoFTFL08AX4EX4AQcud95ohdwOjnFMMHHBzn//YNFWzE+aSWZpTEk6laLPMFGjE5UteLpUeQBEc3xpGiqSHSB3V5dZAybnebYRayx1FUiTB5rFFUROR4m9jtDW0fcGHl4r6grYU4zW61I/O5ny37X0tZbvGsYB0NpAjGJ2WrbRmKEtgrURcCNkc1mlmx4YVan0yQ64iqh+o5CeTCJLoyczkeCO3HujozDAVsn2XcMkst6HLEqyI2PLlHBC07rBso44FXBeJyoNhYdHPblK3Yn1Lk6n5iQgH5FItmC6ZcnojKo4EnGoqeBNB4ZypIdhhpLw8SItPUNS/ZpwcLwZCb0ml1dg85c5upvrta9XHf5l7ZdWNKce1pVy0WWXf35groxqLf6Qer2Sb7Vrf6Bdd2az/VbgNPcxk9RANtbetTcho9JfQNs8/6CT5cM1GwYWp9LHke6Pm4GexlEXsdIZQ1rZkozCM2M6FoHmlnW83lhNJ2Tx+t6cecrxPQTowDZzLSGAE/P4qTPTGtu6282M9AMi1wva06NETd+DInTcTF/OQd9lwScPglYrGtkGlGS+Kj7e3h5irhJdJ5RyWjP/iygcRzheJggKZTWfHr0SDDRBmFPGz68G0jTmcIKCBsnxYf3iqQ0d+8t1sr5xyDnIs53xekEbS3ZpE2r+PpFgHU/aoYBCuVJUbSjVSU3Js3WiKxBG7YbS2kNtuix6sDh0HG3a9m2BSlE9neK3TZxePS8vMzvBRL+v9lAU4vEwE0JFeWFDUmz30Zp7d/JOXiXlhsQlIxSTZ7GOtHUnnpMmNB1yRgC+I7alqhYUZsCnzyp0hQmksYJd+gpcJeYB+VnU5QKKDehrBEj3Dxe1XYHSSkoC2Fc24piOJL6ATWN2O4gaQqqoCoTuirQY49/fiFNR8ATqS660sC3X5iv/IWrx9LVY2umdP37nwOqGhYgmi/ILMaGpVWRNao39vRWP1DdAOqtbvUPqu8B0L/EqX8NTvN2F5C4inl60yylZ6ZTvY5UWp+XQoDPN079+fe8fV5+Pa40M5DOLQTPOkZqDU6zrhQWUJvPKzOg+Xlkxi6P3swz3fNxst40BMnw/PooT65p5sB8SSGibWXdfLw1c3pp6/vE6bRggONxDvafFIejBODXZSR5iTAKUXG/j5wOEpk0egF+Yx/pTwFrEsNZxnyGUGALxZ++KsJlajuA4XcPiTgFqplxHEbFx4+QlKbdaupazl/MUBEfFHWjeH5GMkXnDNjHR3kOLsgkKbw49atawKnSimpjsUY+KLttgY4VKWp01ExO/xOAAAAgAElEQVQONvU77vb3VIVEQr1/SIxdEPAeZSiBtfDTTwJOjYqXG5KYRJO73UgUVl0JFZ6STNCyFuqtlclVVZTYKAXJB4wf0W1NwJCQD1VpZIBA3Siqhw39GFHBo9xE8oGylhSDWNYoayjagjA4Ct/jXcI/n9js5uzUqadsxVGnTkccBSaIdiNGcF9eiEgiQtRWwO75BbPdkqiJVATOJASgridH6fn3taP/m+uZ15rS/PM6oupXIWVRLgxpKb8rrRYwmi/O68D+W93qB6ibBvVWt/oH1N/j1P+uGWrlxF+v+wp8ol457dexTsBljGletj5W1opKG//b53OtJ1VKgGAmcfLo0XV801sB/BmcprSE6mewmomgthWgOI3L+s4Jy5qSALqu4wIuq2rZR9/L32sDFCzpAErB02O6OP4zYzv0iRAUw6Au+ap1GS+vawxwt4ucz2KC6icxRo19pO/ndIGz/D6Miqqu+G+/eBIdAmc64B0/vbOEELAleGcZJ8X7D4qkDW0pkgSthbEtLAyjZrOB40vkbo6c0hpOxyRpAUHhPJjk5bWoZThCUSp0abEqMI2JtknopLDFBqMsSjn8qPn59wVtI+M/391HyWd9UoQIVSk5rv/pP8FuB8lHhklzPgVhfpUA5w8fFZUNGCJ1KWB9c1+QYmKaJIXAHzvK2lBXAU4dpi4ueMpoTUqObgwQJtr7GqbIblcRXSAMHq0S45AwrUX5CWOhiCPRDcLCngIRTXKecjxh77dQaLTR6EKhTieS85jooD8xjh5PSVNEdGFRXY8aegofaRjpqImcMYhquGYBqJbX7fsc4J81qelq+boyQF3rV+E7QFUpmW41TW+H8+eRp3nU6Q2g3uoHqhtAvdWtfuP6rcGp4jXLCa+9EcBFF/qmU39lfFqD07x+ZsKu08SvzzUDwHWM1DrhJu8z/8wB/OtzziNOs84zG5fW371VmRiHZXRpZljHURjMHKA/jotfJJ9TjovKI1HLcjlX70W/ejy+1su6KTEMAvSyyao/R8oiEeNy8u/uxRk/ek13TsQQ5/GlMoKz74TRHSZFWSv+9Y+axB5p6Q+A4f024KaRokx41zAMFQ8fNFFpykLAqSLhRrmRmJxiu5Xz2e9EY1paGUJwPEugv/cwnj2b7ZyVOo9/TUqzqQN9l2gKT2XlBsUoTdM09EPLh/cea2Qc68d3HqPgly8wTmL8ilbAaV2DioHzoAmThPonJLZquxWNbF1GCiMAtyglCxagqhKcz9SNYtNG3EuPMTK4wAUtRi/nGYcJ506YqsQPE5uqwsQGNUwCOssE1hB8AGuwasKfBorK4kPCHzq2ewshoacBc7eXMaZDh9/sKMMEMRBGj3o+EJTFGLmIdAqoz5+EoTwf2aJIjESyIEO+LKfV9ZDHmebfL9dNvq6v/oYlpuotZvVNWJkB6Ha7XGg5zmL9n4BStxb/rX64ugHUW93qN6zfApxmQKlmzPg9cJofeNOpzwxOY/pm2/VxYlKvlq/3d9Gwrs7tur2fj7MOvM9u/TXbutaurgP48zGMkVZyBpd5mxwd1Q/qAlRPp0VDmoFxDvvPMVQpzbrRmb0NXtjY4/H1voOXUPsQuOgtu2OgqhVqTjsY+8j793DqNP2o6M+R6CPDqBgH0AhI7XpFP0h7/V//CGH2ahtaNDX3u5YQHdZ6prFgmkoePlYC9ObJWFqJS98UElO12QiAtlbeJDNPszqeZRTq6RDpT4l2oy7TlpoG+snwfi/a2kKHmVVNaC0B/E9P8P7O0VQiD/jpvadtEl++CCiehkhZwn4/G8d1ICmNH+UFNUYkBfcPiqKYKOxIcAN+MihV0jaWecAVpTtDqcFo/PEoTG8p0UnWIoDRQG0Vu+YBu6/EcOTOpK5n6qEqEj5qVF2hvBPj2DCgw4hRMD6PTAnoO8z5K7qtMNNIqSJq26IOEtOg3Ug8vDAdR1JRY5InoVHdScamRoVlIlHR0GERM5SGi0hDsURJrYHm+rF1Rb4FpNfrvBXmf7m4lJI3Id+t5WkVmTXNLYzbuNNb/WD1N3+alVKVUur/Ukr9j7/lCd3qVv9R6zcBpzEt4FS9Boswg1O9PHABq6zAaUoX89T6OBk8wmKcysuvjVPr81r/y9rPdRTjGpzmgP11IP9625xvOgxcopOMTpSF5F2up0aBrHs8qVfToYZBvq9zyk5+DdZmrbzvDE7HcdHAgsgHQuACTp+fpaV+egmXmfdWi6P9p99pzoOh74XJjEH2N3YBlSLjpDj3mm40tBvFnz5pwgxJDImE591dIsSCpt3g/R2BHe9/rklIBNRuN2ePpoQymr6HTRPxTnTCdT2/5iS6QaZGnV883Vm0n9bC/TtF2RgCho8fEocXAad1PTv+k78MI7jbSDaqsoZ969ls5DU4d8J82kJA84cPUBcBU2imPpBCJKJRWrG/17Stg3SkOz3jfM/heELrEyHNulk9EaJkmzbhhI4eXZdoK189OjisjgQ3YYuC/e8+stts2NcFOii644jRYnoqG4NyE5pIpSbi6EjGMsaCcfLoauJ8eGZ0Ez2OU9/jkIEJ2bkfJ48aRAOSrIxANYVGvTyj6orU9SRTEuYJUhlIKqS9nxDAmpnQOP/+lq70Grxe11sGqW+qaRbdS85AzXrTdTD/mkG9sai3+kHqbwaoKaUR+K/8hdfZrW71I9ffBU5nULoGlGtwmh+MSQk4nSu75vN+cszUGnCuwenaPJWB6lpPev1c1sAy7yO3+fP3YgarGZxmgJjNVuv95eim3IZ3kwCPplmYz3yMGIU1PZ3lxPpemNPzeW43q9fANLO2mY1Vigu4y+fV93IyfSft6cy0Pn4RE9Tzs+g2FTLNyTn4+LPm5aAYukh/lHnz05guU5ucV/Sjph8Umzbxhz9ppjkRwRCJBD7cCQjebCXbNKK5u1cXI9imldGmMUqc1TRJvmkG1JuNANPCJo4nYUpd7zmdFe8eZD+braLeWrwTrenpmKitRDDVhTjd82velp7tVsa0birPx4/ynjy/KKZRWOzCJn73OyhNQFsBp+eTAFdtFFWjub8Hq0es7tg2FUpveHjfchoc597RWEd0gapM7MuBODp0XWIKzTgpLDItKqEwSmM3FQp585ObIHgqA2WRGF3kdDjR+QEXeuLQUTQCLsOpJxaKcRq5157dfkMdE7474FXCdEe5LtwEj4/CnhqLiQJwdX8WLWtIJO9QhcXjLpOjIt/qRa+1o+t/v1Zvbfe9UmUtb35ZygP5gs8f+qxvgddA9QZQb/WD1N/b4v8/gf8N+D9+g3O51a3+w9VfEhX13WUxvQKDefkrcDq76NMbIHKtL30LZF7AaZxNTyuwen2c65/rMaLXTv1LaDzL/rIZap2NmoFrBqxZF1qVEoRvrRBEsIwWTWnRmR6PC3A9HgWc3t0t+8/Hzq7/fH5aJcKVSavrBOS9HIQZ7HvZ7uungDaKpycx8hgV5fmhefioeHxMuDFwOkGMimkIoqvVamZOxVDVbDR/+ENiDAlIWDwBzU/3Cucl/moYFQ7Lbi/ve9NIFigxogt9yWpt6oR3YKwS17xOJKU5ncFYGE6ec6fY7eW12e5mcDoG9jsxTlm8AH8ljC96nkDlI/uPirqRN/f+ncZ5zx/+ONJ3jqK0xFDwn/+LweqEtprjc7h0ln1QmEKz38sxCjOIGtUYUoRpUlir0YwUKUKp0ETCecBua/lsKY21wk6XVvQim/c7fOpxwxEVI+l4RkWDLgwTmsFMTG4kTQrDiadT4H7XoHpHxGJijzq8wF2LbQviyUNZM557tsNZBhJ0AzY5JlsQdEFtE6ZQ6MOzfBgPR5SVjDRFh5kvmezY5+r3t9r7rJblx3OtA/2vGdVrSJlMibYi2E7aoDIgza3+zKjmO7LMrt5a/Lf6gervBagW+F+VUv8L8H8jNtVLpZT+979z/7e61T9t/U2s6Soaar2fV5rP2Ymfl33j1E/MLXz5O7OY6/W1lgNemNN5+4tT/41zXIPT3GbPADEbmDI4zctTWvSmaxOVUkvmqXMzO+oTdbUYpzI4PRxkvwmFDwIeczpAdur3Pbx7twDe/BzXjKuYmmT/xiwg9PCSKErFy4uA064DN0YOB9BGopuaKmK1/B3R7HeJr58l7P50Uhfm1DlQRhjA01mO0W41f/xDYgwg0Dbi0fx8zwWcnntNRLNpZ+NQmWgqAdJVLcH7KUSsUZcbjnYGpxHN8QBx8pI2MKqL+attYbvXWBMuLHycApudgO0UE9oCMRKmyMN70X263vMv/9ngp4n/77+d8FPP6DSonof7EqNbmk1JchLUr1UiREVUhvttpDKB3SbivWFKiuQkGiqS6I+RbR3wsaKuEptwxheixzClJoaA9hOqUIQxUGwqTFFSGUVIkdifUWWNjpqmsfTBM/Y9lSlpyogdNEPtcYDxCVPKkISqjGirxBg19qimojr3KGtQ0ZO+fmV46kn1Bj2NpNqg+g7rB4iBODrMfsP0/IyaIWSe+DTNP8v19bJavn5szYyu9ae/ypZeP5BjMTJLmmfzZoCa7xRDeD3+9Fa3+oHq7wWo/xX4f+bf/6erZbfW/61+2Pqrwek8fvQbMxQrcIqCa73pVccuxdct/G9ipJKArLxsfb7rv9f7z+ewXiczlOMo34P5+3CtN4WlpZ+JnJyBul4+DvOc+XLRgWZpXd9LW937ua3fC9Oa2/KX0aV3C+D1Xr6ns141g9M8baoohG0NXhhTpSTcvq5lypMbEqezHLM7J9paXjxtNQnF/T7x+CUSPJzPiugj3gvYtJWYl45HiZqqm8Sf/pgYPIBHo4gofr4XJni/h0NfoEyinrFGYRPbNuKjppqNXH6KF/e9dwJgrQFTaJ6/ggpemGonmlWAspbcUqPlQ1XoQNfBbiv6WbkhkNzSsY/cPRiKIqGC56d/MRgV+fw44MaeaWppysRul9huO6q2JDkJ/k8xkYxMito3iXf3CRUTYQo0bck4VpiyZwqasY/sbcKYkqpM7EzH6C2FlefSj5pajSQlzGpRgd7W1GVkOsG2tARXMY6eygZCVPhpQivk9fATQRUo7ZhOZ2rTUOLg3KGbLVFN9FHo3mII1NFDFAq9MBFXlARTUtcBWxvUvz6jjCYNA6ayRBeIDFiW9n4GorlyjNRaf5oB6Hrdt/Sn10D1et+vLk5rlw94UcuHJ4PUrD/NF3fWpN7qVj9Q/V2f6JTS//xbncitbvUfpf5icJrSN8u+Aaf69YSmXK9a9mnJP13HSMEKnM4rZz3mWzrSNRhdg9/1/tbn6Nziu8gGpGyKysvX7fXMjF7a717iovK5r5nTaRLAh1okAuP4On4qT5ZqGnnMWmFTt9vF6R98oqoWQFsU8PIshquXgzxh7wXwvTxFQpQA/hDgfIyiZzV6BvWJu13k5Um0q8M5koIkHbigKBsBbMcTuCDA8PNn6J2oFC0KD/zLB9n//l5zOEkU1GU6pYrsdzA5fYnHmkZZXjeiATU6sdlpUpRIrOQ8YdanFoWcT7214s4vZcRpXQQOB9GzWhVIUfZXW3n83TtN2yTC6Nm/l2in40tk6Bz9aGhKMat9/KhIyjB2I0aVAuwbTdKGwkT2W5mm1dQRazUJw26/Y3I1KTruK8emLalKQ+E6eT6lRVmNx1CqETdGCpsEON7vKE0AHyiVww8eP0aMlQxXUxXYWNDHQBEG4jRhysRwHinMhkJ5VN+x3VjM1hKmAR8T1hiK8UShQMVA/PSFoR/oTYHrj8Ta0g491dCBNaQQoSiJpx7FeGFBNUu01HrM6ZolTVc/v1frCVNvMaqvts/O/aJAZbBa1ygzt/qzQzDHUF1Pm7rVrX6Aut1y3epWf0X9WXB6tcJ3wal6PXr0TXA6b7BevgaTb7Gu65Z+Xnfd/VsDyOsYqe+B05xusw7Yz079fL6vnPNeGNOue/28cgzS5CRYPh9vmmRdWJz64yh/51Z2lhpsNsKyBi8gVBdLcoAx8PyURFP6vIBiqyPPT5CStPOJkfNRWvMxKcpSMk23TeDwohl6GVnqnGgufVAYq+i7xOOzJgYBkV8+JzoXAEWBwqH4/Xt5Ddq95fllYZ6rMlGYJNOxggBNlSLeL/FQQ5/YbkT3qRQcj4mxD/MYVGFkrYKyAZ2OlIXDOUtTGobB0lSRQgWMEVd/oT3HQ2K/V7RNAh+4f9B8+ACH58TXL4l+KqlsT2ktv/8fNMZEpskDNZNXNE3CJUNlBLxXNtDW8RJ7FaOiLC1FYYnHSL0p5SbpeKTYJJnQZDW6tKRTjwqeslREF6GtUSkiuQOeNPWgwMVEszP4ZMBFCm1oCIzDGU3CJINNGpsUujTweMb87o6GHucidb0hHk6UBkgKTidUpTmMli5pqkrRlwp+eaSsLOn5Ba0SqShw8QXLaxY0X9GGpdL891u608t1zMKq5m31at21hvVVqdnlV9eLzlSppZVv7eIEzBfHzRx1qx+wbgD1Vrf6C+tXwWn8duE34HQ2PGVA+SY4DWkGp/Pf1079HDO12u/1ZKi3WNH1c/i1GKm8j/XUxLVTP7v1c4RT3rfWcu4ZLObBN/kcikJc45Nb9KU54zTnoZ7P8q/vl/D9XOMoYHUcxECUjc2Zfa3KNI88VTw9yXf40EWsSRwOc87pk7TqTyfRbfqgqEqZK79p4XhUnI+BvheWcnSKpDRKJyav+fokUg2t4evnSOcEghSAQ/HzOyQcf695fl5IrapMVGWirGQ6UwanzoE20vI/nxLv3omC1c5GqP4sRqmxk+df1wllEpU9Yk3POMC7u8DxpaKuNhRzNJRSiUIFhl7MW3Up05ZsFdm0hvOx4OmLwkdDZQyOivcfB4KHaCOkimkqRdOrLckldm2gNEGisObyUVNXwu6PTx2brcYHsMOJu12k9wVVJez0eBiprAw+0MFh77fCpteJMAbU2JF8ZOwCVQUei/ZjvgvjQ6Xo1Q5lAnQTqdiwKyM8fqH+sKEowJ8jurQisph6VJzQweGfj5x7x+ADjdGUxmK6nvF4wFUGkxJJi2hZc7wATwUEKjTj5Tmv2/uwsKr58fW218apyzV+9fc369S1fDDqehmTli+y3N7PH651a2UNXG91qx+gbgD1Vrf6C+rP6Uq/WbYGgTPL+V2n/rzitRP/G3CavjVPXYPTDPy+FyO1/vu6/Z/b9Wsz8Ho6VNZ45nO7MLQqvco4zWapvG3dCEuY2/JZy9r3i6606wScdt0CPrMHJB/DTbMpqV2O350TTav4/FmOcTxKcP7YJbRWnLs55/RRwOnoNO1OkVKitBFNYrNJPD9GTqf5dVSaYZxHxsbEFDRfv8yzulLi66fAOQgMEeYUfroHVVi2WwnBV0o+H5tW2ve2kGivqhDYkuUSdSWRUA8fNClBYaA/ep6fZWTp4SCMa70R4LppzxS2Z+or3r+TTFOjTigMTdOI7rSUDNKyVmyqAa3P+NBzvzMcT4HjS0lKu3k6k+annza0rUVrj9EG7yrK0hCShpB4tw80ZaC0kZSgrJS8jk1icop07qgaTQJaOqrS0/lKIqm0xH1VNuCmRKkDqRLgVZWRNI4YJx+a6AJWR7S1KJ0ItsR7j5qODKHDGksbPaOp8cNI6nqKQolEIziiUiRriZ+/UJoEEdLLgTIOPCdZVjUF2ij002eKpmB6OVDFhL7bMf3hMxBX5idNnMFpyQIsc+sf3m7Vs1r3leLnO+t+85gxqLZdQGfbLhdWvjCynmU9LSPXzcl/qx+kbgD1Vrf6lfoGfKb0qzFSwCUeas0AvglOZ4AL32aRZnCaR5iGK7D6FjjN22WAmNd9Sz6wDtHPcUywgNN1uz8747MB6rJtTBj9WkOa2dZpEiBTVfL36bR0Ir0XMJqjq4ZBlp9OXNbPgLgsElEtY1OzuYqU8F7RtIqvX2W/3TlhiIxOXuTjEVKIPD0JMzl6JSwkERUDVakpC3HrDwOzS13TD/NrpzSjE9mAtbKvz5/iDE6hmDWnv/sgL9puB1+/ztGUScCpNoqqnv0rUSKs+kEMP3UNx0Pi/kFLjJONTF3kcJRtul4Y53cfLW4IvLsHhaM7RfZ7xTgIGDUG2tYTfaQ0EZRMefr5zhOTI8ae3/++JQbF80tk8j1+HKhtxXaveXjQFEYLwD9rUoyoUssUJS3gtC5Fr2tLjY+Kwib6QWH9gDKzcWsWEeu7GhuF/YWE8o5EojSBqCymrjAqYpMDAlYHQgwiqawMsahQJIIf6U/P2PGJEBS69IzdgC12tBuD+txh3m8xyhNdQBUWNQ6kFMBo9NgTzj2D10wpcOwF0LbDgOrPYBOFYpYfnIkcL+aoBKB3EF8uwDK36TNTutaUwtvgMy+/XjcvewtKprpBK+YxYu61Q1Eo8uXuLbv613egt7rVD1I3gHqrW32nLuBzhUJ/FZzOulJ4u71+AX4xfbPe9X61Ud849fOy3IJfM6W51k79zGIa8xogZ0CbHxuG5TtwPeI7r5cjpC7Hj68jrtbg1FrRmBblAjaPx+X7dB3Wn+UCh4Ocw3a7ej4pURYLa5ud+8HLSYcor3UGp/05kiI4Jy/ky1NEKXh6ltiocYS6jKgkLfp2q0gh8PWzDARIKDCa85G5Ryua0+dnYT39FPn8RXHymTmFiOKnnyyQ2G7h8VEAdYqJzUYY0MuwHxK2ENBpjYDXpxcJ7PceKuMZB5maZa28HsMADz9Zxi5wt5dblegVd3eJ4AKaRN1ElAG8omhAG4ObEj9/CGKo8Y6ff9aoJDcAIWpenqCtJpq7hp9/Bp2CGN0Hgxsj2gjr3FSRfSua06oSF742ihgFeBfTgHOiq3Wdw7qR+r7Ae6hb0dFOx4nCyrmrCNU7ob9rK4BaTxM+JkZnMKVClQoV5QPn+g7tjjSbDcYawunMS1C0aUR1PeVdI+fk5hlPIRCOHaWO4ETLocYjx2DoQqL8sOdx6Bi+fGJnE5vJY5OGzQb/yyOKEU1u07dMcTFLwdLOX4POtc40R06peb1f05/CFWAVul7WSglssehaUlrm9mbHIrzOPr3pUG/1A9atF3CrW71RF8PTnwOn+UtBLW78a3CqlLSoU1wmPcEbMVJ5P/rXwel1Gz+zoGuwmwFmPqf19ut/OUYq/1s79DNzmtlMkrjb14H80zS37pPCFrOhyAjTqZSAz7y/zJxmmcAwyPJxXMCphOynCwubs0yrUl6/PKI1hBmcpijgNM0pASny8iQn93LUJKVlelIVLu9BaQIaYVaHSROSAK/jQV5IrYWNfX6eZ9DHxKfPipODDE6N1Xz4KMh/s5G2vjWJGBLtRlFWMzidc1GNEWCulRihvjwK45oSFMoTouLpWbYZJ8XgDO/ea9wQ2O8c1p6J0yNt4/CTJrkT2vTENKCDoa6ldT30ohc1hUalyMM7gyLQdTJB63z0VNZTVCUfP0rYfozyOox9pGyM5PCmSFt6ChNl9Hsh403dJJOmtJ9wY6RtIU2O0ne8+6mQqVAGlDVMZ7fcVIRA2myJLlBqT/IB1XdoInHyWJOoN9K6TkHyW6MbUNaQoiIdDninSC5g3Ek+zygB1z6ijEYNPTrKZAk9DYTRc3SawVq2tuBBWX52E2oYqLVh6wNlI+NNgzuuRpYaYlETGYjIaNME5OFo32vvr3+/1ple/t/gWyYVQFWzriUzorP+NKGWu7l8F7kO6V/fWebfb3WrH6RuDOqtbrWulNaY9FLfgNMrpmKt6bysM8sBFN9vteeNpeW/bLsGo/n3TJ6s58+v2/Brv8Q1+F3rTfPv2am/br3nGKnsrr9Mu0pLTFQ+5jRJaPxMPi6a03rJNM3nG4KA02lagHE2RO33K52pWyKtpklGc9b1PA0rLc/9fIxYJW1m52YQlBKPT4DWHI4CpryLEo6fEm5KNLUArM9fFMM06z4LeHwWDaWKiVMv40/rUvixP/wBurmtXxmNsob7OwHqu53EWlVFwnuZ6jSnA0GapQFIO16rxH4Hn74IODXJkyIEJekCdaNkpOtg+fggmaab1qHTC9ENlLXCTwE3GrabhqJUmAhNU2FswdBF7jaBptVEH3l3n9jvLI/PDY+PHcOgMMpT3234L7+3WC0wykcto1E3hnFImOTZtpGmTmw3iMZTSxzWbgfjccJPwqpaFTCxo9iWjIN8iG1bEvuRQnliUBRaWtFKyYQtSyCcO+rCM/WB4BLVxjINEVOWwhQ/vbArAofOYTcKHzXOR4paUZ1H6p8eZFSqm7CNJQyO2E+UYUT5iPr0C2VwuKSI3Uh5t0VHj316pmhKiuMRqw2pKInHDkWPRsbcQj0z1PPlSWZDDQmLYVxkAKvll2s7X8fzzzUL9E3TJW8zzfDX2iV8P0ZUoRb2dG2WWrv782OXnd5Y1Fv9GHUDqLe61QqR/io4Xbnwr5e/Aqezo/9XY6S0evX3tVP/er9r4JnXX4PNFZH75vHyz7z/3Pr/Ljgdl4lXuTWfpQIxCmAcZq1m9mxk4icboNYyhK5bWNnMok6TALzgBcjlqCjvuYDOshIAnEeXBhfpu0RKir6fwamTdv7zUROV4nRITKPEF203kkM6DZGmFl3s10dFN+pLYs/XR3V5z4Yh8fg5zMYuxadP0K/AqbaahwcB0rudTKmqyoQPiv3dHMRvIiQBqt5BCMKsvnuv+fRJtqutF9lDVBfdat8lzlPBu70YijYtlLbHmoGmFvFtN0Q2255NVUJqaHYSgTWcPLuNtNa1hqZJPNxHuqFk7BUxGOrCUTVbPj4YqkJTFhGfjHSSG8M0JnT07HeR+zuJ0lLWzM9DgP3pcaK0EasjZQG6P0NRyKCEpDFthXE93nn5bAWHud+RlMZER2UTaXTo6BmHhOsDqq6gsFhj0G4kDI7aerQy1E3NNBzph4hzid10Rm+2wtSqSFQS+6VOR3QKKGvQX77iXSJGi923pMMJrKE4PBKjJ5UaW5SSQTwNjN0Z4SoTCiusYt8AACAASURBVA1lRZyeADFHBTKLGkhzEmpu31/+a7j6b0EhQPXXzFSXbcpKXPuDlwvIFtJSSEla/M6JHrUslzvWdat/HblxA6e3+oHqBlBv9d9nvYFE3wSnKyD5PfCadZnrdb4LFldOfPhOjNQV6/lWjNSaRb1u46/rGpxeO/XXUgDvJSoqZ5yuGcs8bXFy6hIPlZ9nBq9luYTsZ3DqnIDTLBPIk6G8l4ihOD+nvl/Io6GXJ1nVihA85/NEChNuMqAqhsEKAzxGYfaS5nSSMandKTJ0s3PeSgt4GsVFX1SKxxfNuUsUhbwIn34RetgYiaV6/JouqQOfPivOgzBnVamxJrHfC5DetInji4xuTSi2W3n+WW9ZzqAuBtHrvv+o+fwZ9ttIYSJFKTKFx0f5jA3ecB4Sd/sgwFAnmiJQVhLSn3xgcop2q8FHQnA07YaiSIydp6w1bRvRRjSzP31MHDsj0VqTxqiGdtPy4b1IAKoKQjKMR3AholNP8iPGaorCUpaWqjFyUxITxiqMHynqxNAlNk0iHHtMbdnfKYZRUd3VmKmnP3lx/PsI2y1JG3T0wqTObjdrEn6KqMLS3hX4MaCcgyg6kOKuwPmSjTsw0lDpgbvSU1UtdW1F8jFBURv8aQAfKZoCdZC7n7JSdL1C9xPbpmAYO8Iff8GWifrcURlhT1M/ohiwVGJ50y2prGBSpNmiKNpTg6JAMyzXfv5/gdf60vXAtryOXv2M623KatXyEJ2Namp5rGmW6VDWogq7aGfyBZad/Lm9fwOpt/qB6gZQb/XfT72FMN9aNP8H/2fd+gj4uAaH34DTeUd/NkbqO+B03Zpf61yvgen67/U+13pWeB2VeGFho4DF3ILP618C+JM4ynOcVH6eKS3xi5kVzS78nHEK8vvhIOyp0cLGgWx7GQLgE10vo0llyqPn5ekA9HS9vBB976iKFucsVaM5nRVdJ8C6O0bOZzEqFSZiZ91nu5WpTY9PitMpUdaaGD2f/tjjvaewmr6zPD0XYuwyij/9CbpRETDUJRRFusRbNXWiOwu7mxDMUNpIWagL6eVdwjt5A989JL58gbb0VIW8cN6Lhjah8MnSHQP3954YRrwb2WwtVV2SgsYqyWatagjjhK08ylqMfuH4rKiamm0rn8eygN//Hk5nzfPXgHeJrhP3/aZy7LcKa2Uc6/kMo08kTpyPZ+oyUZb/P3tvkiZHliXr/bfTzhp3ByKyqXrcAydvL/y4Dg64AC6AqyBnXAsHHHHIV5mVEQG4W6Pt7Q4H19TM3IHIjMjKrMrC8/N9EQDc1K9ap6qickTkJJRuQO8wprznonRx6yPMY6atMzJOVK1htxWmOSG1Ynz+EQmwaQxE0Ju2xD6FBHhiHpjOPV1nWLxCsFQ7iz/NRTqpNXEKtFuLygmzjGSb8JOgtMP2PfX3jxiVsHEmKoMsHj0NSAyo2aOOB+Kw4LVlaSrmOeA6x/75X6GpqLVcGGCFeE84jkBECFgsqqnw/afLwFouJieFkEl4HDeQWc4Br5lR4efzT9fH13UBrlR8uLT42xZl71obqwZnBaLW3oDr/cG6bvceMfVe31C9A9T3+rbrz4DSLza5Q49/FpxetKU/59SHAjzeMqVfjZG6A4NfM0P9HDh9C0TvO3/r+vdSgWW5ES/XbZK8Wm9lRde2fr5EBa0t/nn+8nmshM4wcNVzrpOh1v33fWFIh74A03uSJ6UC5lJWeF+Aac5lJOjpNKH0jF82VE7x/DkRw0gKlscPFT/+pMpwgLlkmA59mT1fWaGqiiN++6AxVvH8WZgWTdVAioFPn3q8n6h0Zprg+NLQNFu0cfzhD7BETULTXfS0XVdAfF2V8a3GFjDadQUQ1xVkKWaunC7MsNI8PcKPP8C2jVS1Ql+Ir+cXhTKKEDVjn9huAjH2qDzgnMIZYRkd+4ea06HGuRE/C7t9IMWE0yPzaBCj2GwCRne0jeHjd5dpXIdEisLxWLrGuzby+38u7fAYKQMToqGyPcdTT21qPj4I2mmMm0AFtDKEpNhWC0so07acFfQ80mxtybYNwpQ8+TRhYiAmIQfF7uEB01ZISkiayPnEue/RObM8R1S2bPYPmOSx26p8V/oeFSeWHDj4gIwHJnGoKLjxgK4bWp2pCCRl0VIoeRGF21Sol2ckZbTNnJMwDgPOGXI/Yv/4Jx4ft7jTkZwFKocMZySfsFg0gu4eyaZcEjNQr8cXBtEtKg+vAObX2vvrYbkC2Hu4eA9qr2VMMYINI+z3SFWjJN2Y05Up1brc+dxPqFgB63t7/72+0XoHqO/17dUvAKXXzVYX06XenuOvS92t+efAqaDeLvlXgdOvxUi9Bav3MVJvn/M9iF1ZzWvGaX6tL30LTrOUiUfW3aKgluU1WyvyGpyukjjvCyBdn8M0QX8WluW1x2NlbWNSpFy0pFVVQHNtM+OkQCVOR0VTCc+HEryfxNC1wufPEH1mGgP9eWFZItZorKmoG3cFpyJwOBSX+iVMiucXT/QDlekIUXE6CE07EVPN588NUWkyQluX57nfCeQCQkMsIFPrEsPUXLJeJUN9iZhKoklZ+PARfvxjZLct2lelSjv/5blkb6aQmcfMdiMo5SENbDYdbQt+jHTbiXNfU9sWjWL/QcjZUDcjzmzw2fD4kMl5xDjNb367LaD0RZj6xHk0VJXQtcL3vynpB0oJQSzjLDRVYjjNaCU87QVbGzYbVUaMSiCmlgrP+VhkCQBNGjCtJUbYPWj6kCHNbKzBJ822yXgCsbY4EZx4Qp6ZTyca11DZiEcz+oh1gWg6TEowz/h+QJmRMSjEn3gZR1oa9ilQNzXRZlL06I0jLBmTUjlWkif3E/b5M+IDpwUWFWmaDbVOuPMn5octPgassSiriCHQnycCiYbABocYSzyfgYDmXj9aXG9quR2MP9fevwewf4nLVHDTta93eyXf63Iw5MtsYF/uEEtb4fbnvVZnPYG8M6jv9Q3V+7f5vb6NWk/YvwScqgtU+YoT/9WS+cs1vwpOlSq5pSjeMq9vNaj3bCe8BqcrqHwLTu+3fQtO3wLbe50p3MaKrlmc1xzRdDM/rS17oYDFVVO6tvPXUaTrPqFcN+EWwJ/zhbk7X3JTY2mD92dhngs4XYF58CVGKmV1/b22LWYnrcp0oqqC00FDTpxOgjYlIF4poT9p5iHRnwOn05lpOKDUQM5n0CPDLDw+KWIQ+kGx+MK0GgMvnzNxnqkqRYiK41HRdprZa56PBYDmJKwywO2mvKnWle1XuV/bCG1b3geF4GzZLiRNFsXjk+LHP0b2D+oKTq1THI6qgFOf6M+FkXU6oWWh7TSbrhiHdntVXPdpwlrLw4c9SnZ0lQFVMY6Kjx8FZ8Bp+O63xdQ0DgWcLsmW51dlfvfb8qVRFHA69OX5+jGiRNPViW6n6TqFqUr4v9IOFTwpFmlDjFCFgaQdSsGH7w0BhxaPjrFkn1ZCzBqpO8JSYhgUgvZnDEJrAjlmEhbXOeak0DmiYiCPM6ZVBKvZaqEymso0+BhIOUJVo3JGpYkUMpZ4zSDTGtzSk5OgrSbsHpAElRHM1MPxjMmR1PegFNlqzovnGE94KgYq+nZPsA4hItyipTQ1ymjyUmKoLDcN6dv2Pnxdf/pWh7r+XW130LblXFRVtwO8627aGLjpS9f2w3oSuQ/tXx97r/f6huqdQX2v/7z1C5lS4NXJ++fMTvcPvt3mvnUOXMeXwpft9XW7r10v7nWib8EpvB7vee/iv19/Bcmrq/7+v3tTVIwlm3Pdbt3fOsFp/XNlcby/Sdnup0fdR0WtZiilLrmed+uN403LusZIjeNt+pOzBXy2nbpOhlqWYuqZx7LvNcv082ewtuLUV8zLgRAiIprsN6AcwcNwnvDLyGa7IWWN0rCEkceHhWHaMo4XLWgsb8jxcyZFRVU7zueJw6E8Nx/LBKUYy+mwrkvkVVMLWpV2/vp+kzNtV1jTqipfFKMLYAiX5IP9JvL5B2H/cMkE1cV0degtqPJGzpNgDdQ2kRJ0raFtIuPZstsrpimjU6TpWnZ7xTJndpvMEhzTMPL738mln5x5+g6sMZyPmfMJvDisirS18N1HwdWmDBvAMk8KrUr2qJbEfqMxdYs2IxiLpIyramwU6q68nmkUmjSgakulhc3eMAVbTE9kfEo4V9jM6qHFh4nKuuL0j+OFIUwssyKIg8rg1EyDhaiQZUY7Q8wjeZhRdUVK5Q6pTiNqt8HajJaEqzdoScjxhJKMbhz502e0D2gyPmqsH8iughgw0xlpKyRHTNOimpql7xn6kQ6hYkDRsDiLO/dUd6NOBYiqQrUdug8I4XYc8yVIXYHrWm/Zny/kAfeaG6UuOpILQPX+dhd43yJZdanXnbyH9L/Xt1vvAPW9/nPVXwlK/9yv348c/do2V3AqBZR+0db/C+D0rRnqrcb0LSv6cwaot+uvj3/Nqb8yhvfRUHB57AI+C5N8Y0rvwfHqtF/rLTgdhlssVc5F/7mG+q+jS72/aTeNUSzLJYj+Yp4KS6Ztb+9D8CUr9Pml6DeXaArQ9hklmb5XGAU5JpZFEXyk6Qwp6yuIbDvDaciE5ZJGkARN5nyGdBki8Pm55nxuqbsFnw2HQ8b7hpwrNpvyhrdNmZa0vu+aW3RU09wGB1gHyuiL6Qf2XeSnnxQPF3DqHMQEp7GYhUTKe6UlXaQBwm4L21ZzOmnqzQvn04JBsdntaTc10Wd2XSYERVgsH55qUhwQY3h4FLq6Yh4s0whL0EhM7HfCfie0G03bZHy2DOfCUjsiKSUqJ2z2DZXT2LrB2ogxFhMybaMLw74k7DygOoc1ubjmxaDI6BywotFY5nlC7bawTHRNRaOL658UMWKorWH0CdGKlgWJFl3XqHkmBmG/SYyLxlpBKUEljR1HxuRpaJmXhceHDVpZiIXyz0vAiMf6gTTOmLoiqxbrIluT8D/8K+l4wjhFM/TUbXeZUDUj8wlDg0Jjytgv5tNARb5mnCpakIT0A4b5C0b059r7q0nq3kwld4+XX7iIrauq/PQSnqtWx6Fzly9PLJFT64G2gtP7u9S34vL3eq9vpN4B6nv949e/EZT+7DIiX2z+NXAqqFdgcf35z2WO/iVwel33DTP6cwH898/ta/t7BUCDXGUCbxnYnAvIDvFywcy3SVFrjNSqOb0Hyut1cZXF9f3t+QQvV0OUSHlsGAow3G7KVKS6VlewK7nEFK0EkdawzII1ha18PmiiKFIQwjIzjZ7N5gOHF2irxMvLiFYeHxzdrmYJHqsBrdlsM8cXT0y6ZKUmjXOOfrBlf23JHB0nR7d/xHvPy3MkRotIRdsYNJmmLaznVeOrL6M9HXRtMUXlVNIAIDJNM8nP7LaWH3+q2e9tAfO1ImTDOJfRpJKLFteQcBd967bLbBphHBXdTrEMESUll9S50gKvmooQi1ltv7O0dQfKsdkmPjwq5tExT4Zp0aQlUjeKrisa0W5zMWINgiTBqUT2pRH98J3DmcymtZjKlO/AuNB06vI8I2YeqXcOo3LJRN1YwpKx4tEkZm/YNw1x94HoAxahNo5KAkYteALKeBQVFkOtAtp1VK2liQtpWWh0RhmHiUJtDIfnoYTr15bWPbFvDLvaUmlNpYS8ePAeV2vkxzPKL0UaohvERzSazTyj+iPJGSqrqaoGu93C+YxOGUGjGFDUSFUh5x6LR4hcAibQTV0GRHh/jZt6a356pTW/+7t+8++3px4lJSJK1VXJaa2qEiVlzW2EqXO3g/F+vOk6SYryvX81beO93usbqneA+l7/mPU3AqVfLPdGT/qzu1TqFcC7f/yvBad/Lkbq/vF7wLnu795Y9dbNX7Syt3b8PZlyNUJdJAnB3/a3XvtW5/wrdpVb+369Hq7ToKwtGlPvb+79lOB4LIYoa2GzvRmfRC6TnrKwXKY2tm15bOzLmNKoNMNYWMjoy6jLcQhYDS+fS4h6318mCgXh6YMhxhrnAsLMpoPPnwPTVJz+pAUM9H3DNO3Ybi0//gjjrKlazTjC4WALCI1C5co+Nlt1/exyzCVL9YIBNl0xHIWkabqS0TpNPSn0bLaanz4Ju12grre4yrEkyzLl65SrZYHsC4AMXnjaJ9oWohg23cA8LVj7kXqraetETgPaRsgWrRWVzbS1ULU1tbX85nthOCWG0TCNwjQmqlrz+ATf/+YyQCEbzudMXBK1iaQkoOHDdxproesUWmtcpQj9gtOZaUpIXhgOZzb7muAF09U8fLRMo1DhMSqxzMK2y4TuOxoDgkflRJ1mdB4ZwkwMEylAEEPjhN13j+isyONMHmdEaZqnmnAcqRuHWja0TmGqhWb/SO0KkK27mjgsSH+ELCWrtH/BqUiYU4nOihmpapzK2HFCbfZUYbgE3XflyzrP6JcDnW1LUsO+tP3tS091MdFpALsnKQsGtFKvzg2v2vTruYOvx0vd60/vwa367iOvIi2223JQmEtboq5vJwjnUCmWx+E6ZeoKUu9d/O8g9b2+oXoHqO/1j1N/Y1B6XTZ/ue5XwembmKmv+a7+FuB0BZ/3MVL3+3wLTtf2+lsAm9NNL3sPTu9fU8qK9eWvMVFwi1Bcr3XLcjNNrfsN4Ra/uCwXvWhVWvnzfDNMxQgvz+XnxirM3VQoci4AxyiO50umuBKMEs5H0FaDVvRDYWNTyMjltRml+fycsC5zPGdm75nngQ8fKpBA01aktKNtKp6fI35WLNNI1+4JKJYAx/PIflvzw6canzXGCcNQzFxQGOe2EZRWPD1FYvIEH9DK0tQOwWF0GVHaNsWhvzLJfhyR3LPfb/j8eZ0kNWLqjhA1fkpXXeo8lPZ+05WfPz0UeUOIim3j8X5BGY3Riq4pIfdNq0s729RUVQGTQhkY8E+/F44H4TxZlkUY+gKyHx41Hz9kEhd5xJKZz4G2KaNeRWD3aDCVZrtJF/JNIeOEMyCSSLnn/OOBdmsZJ89m27L90DBPgssLRmdSLNrhtH3AWYXJAWxGhUClIpNPzONEV9ekxuEUqCoy9RMbrVHTSMSy+2CRZS43CErwQWgmT7X/gFEZFz3Vri43ESqQtEZixPoBNU/INGNbh6+25H5GUobzC+anP5X4ppyJMRHbmnC+jEFFs489wXWYpwd4PqLwGPKFPTVoq8mVI48zVmb0BZaumtPMaxZ1BafrqeJr7uNXp5y6BPTL4q93gOIDqmtujOh6IMItYmplSt9Gd6x3pe8u/vf6huodoL7Xf2z9nUDpz5mdvlhmZUfU68f/XMbp2zV+TYzUvRnqazFS61SntVZwetWpIhdw+hps3jOngrqyqyuI9P72ulazsLuLkVrZ01UeEOPtejjPhWWsq5v5CS6/F4TDAWIqDK1ZU2/IKITFl0v64VBMUikKmw0Mk8Y1JWQfEZYxX93/zgreC6ejw9iW55eByc8sy8TjQ42ohZBG8qLY7y39qSHOmXlOdG3FsiiWoBgHaDeWf/2kUBfx8DwXpldR2vTOlQSGjx8j89wTwoRWiqoSYqyp6y37naHbalJS2Avo9lMmk9hsNC8vit0W6kZhKscyB2JornKLZYhA0a+GKfL0UBIAcobWRbRR+FRDntl2EaUMdSuEkFHqBpBDgK5J/Jd/gufPgo8aP2eOz5m2EXaPhu8/ZrIyWFWY6NNzpHGJZSo3D9u9ZrOBtkk4W3TKeVrQVqHEcx4OfP7hJx4edlTW4mqHaiLjsOCiRrvyOUlI6IcN2pQ7GZGEyRGdPLrWkD1NozBGE7BUFUzHAYNHtxXR2ILR5okwJ+pa0Z8X5k/PKB0wgDOaetei00KOibREZJxQxqDOJ8wyEIJgNnX5uXMYSZj+SG43ZWBC3zNYw3w6o6eJ+cfPtLamSjW7XYc2jhiFRAaKPECoSK6568snFOpin1LXuLKvtfeFIgW4L3nzd9VsrvpTQUGYbgdzc4mP8P41IK2qmzb1GhZsbiemd7PUe32D9Q5Q3+vfv/7OoPTP7Uap12t+TXP6l8Dpff014HR1xX8tRur++vIq4/SyUZbb3Pu1LX+NQVRl3Of9+us2KxO8gtO6Luus/63b6rsOIyIM/e26t5qfAPwiJUP0pK7gV6kLMM2CtoppKuD/fMw0Tdl3t9VMi8JVcDwIRhUDUwyF4Wubss/DUWFcRT9bQsqQJ56efktV1WilCXFk01oOn2BeFP2g2G4sL4fyHk2zpt4q/vWPoLVBmwKsPz0LXVVAflUXXel+D9M4E/OEoqNtFSlmrBnYbhxNtyUmhdFCWuKVKd51lh9/KmPS663FmcQ8RWJsS1h/SEwjZNG0VSLOme2msKjZF1bTOsUwQu0sVleInpEkBIEcK+rKsH8ssoZNm/kf/jlzOGmWkDkdBg6HRFNp2k3Nb79XiK0wVvBzYjqX8aJ+zpjK0O0M3QY2G0FTpBhMEyiD5MAw9Jw+/QBGCGkkmZqqqrEIoR/pNl1h04dI+7FDqoo8L2gyKQSs8oVdHmcqA4dFk01x86t5xppMlYoOWrynchCWErU19p7+8zOJBa0NkhfSkNh0kJaIPryUL2LT4PoXtEQkRJxTLFERTV30m8+HMvVKK+THFxZn8UbRARIFhSHGieAquocd+fMLeRoBcBhAYR4fyE2HHE/YOF8AZr4AUvmivV++9Zm3Z6p7M9X9v5VWtxNDvrTx2xZlzNXBr/Y7pOtuYvCuu92FrjOB32agvjOo7/WN1TtAfa9/n/p3AqU/+2Olvlj214DTty39ez3q/c9+DTi9lwp8FZzqoi29lxnEeNs+JdDmNn1pXf8+4/ReprAC25WgWWOe3pqymlqu+aSrsz+l0hZfw/VDLKzo1WAVMs6U6eXaFJNNjmVK02YDogpj6kN5XYfPGaXg1JcYqOgzzkE/KI4nhWjN8SSEYNCmYdc9Ulft9b1uK+Hw7IGGZYHtTnE81oiK+LDgGs2f/lWo64aUqtIOPwnb5pbGYAzstoJfIIYIWtHUhcVtaqgag6vzZbJVQkLGh8KE1nVJA9juIs3WY2RmnoTga0Qqso/MS8lU3W0ues0t7PaKtASaBozTDGOZmrVpNZgdKls0kZAsTVPx8aNFBB52md//NjMHwzAEXl7OHE8eZ6HZCI8fEqbZYXQmBpj6hMoJJQnlHG1XyLmmLh+0VkIeF5QxdLVw/DwQ+wNt90CjRqqqYUmZBzey9InHbYtzMPeR7ruOoGuM9xgSKkWMeJzNyLyU7FNTY4xhHnu6BhZR1DFibUcYA7u9RsVA7TIqZ6Y5MC2e/a6A4CotSJ2Yh5FNSmRVmux2GUinAZUiSQx0O8QntAh66rGff0DqClspkB2LhvHcE4eR9HykripUEuRhi1R1OTYQhBmNQ1QNxiCpMNFGIta1SCgg9uvt/dtYVO4e4+7f+W579bCHpikSBB8u2lODWtsPTXPT1qxuwvtIjvVAvXf0rwG97/Ve31C9A9T3+vvUrwGk8DcBpV88/EZT+ueW+GvA6dv17oHeLwWn67avDFNZMF+JpVrb9SGUNr65yyy96lLzrY2/7udtdFVK5bqX0uvf10qu5MwqG1gzTvuzEKMi5wI++748VtlMDqVVnnO5CVimfM1QbTealIvRaJkyRpfxm4jQ9wXE5lQ+gNkrToNGKGBSlMZWsHWGmHIZExoFoyKHQyYli6CoG3h+hkwF2mKd549/jHSdReuK/mw4n4S2uxjfLsaw3baA43JzYKlcRpFxteDqGWt7UjbUZiZnx7yogh0qxcsBNg8NbaNRsrDMgRAsEg05l9eSYuZpnxiGwhxv24iE8jy0UYxDprIZV5WbDKUNdbthmTJdpdhuixSha4XffH8J2R+EoZ8Zx4Vus6WrEr//L5ooM9YsEGE8CsSIsZBxVBa6jaKuiq7VSkDnCNaglTCfPDqOJOXYbhzTHElOqM3Ey6eZ3zw9UFlLWiLNxw3ZVpgQqHSEHCH5AnxDuSMytUVbxyaObJ92eB9x00xbdegkmK1DhZGQNFVl8GMkD2eabVUM7DFgtzUxCT4kugvjmFPGnE64NCNZcNuaafRE22DSBMcj9nELw4CcZqJS+JwYlpEwjUSE5EdsW1Ptt8jnZ9K4AAZDDWjUw8UcNc/o6AtfGpbbcQ6v2/uuvj4ucJ1Ade/g5257hS5s6P3JZXUM2kuO2zQh7qKnuYDXV1FSb9s09+D0vb3/Xt9QvQPU9/rb1d+LJf0Va98H6P/cbv6W4PSeSb0Hk/fgdGUtV+B4f225glclSH69v3un/sqWel8uhOsI7nsGdt33/SSpeb6RLes6V/Z1DeCPck22ibFcF60tbfwYYZwK+BS5he+vGaZFKncZ4ykFbIZQ8ji1vfBKORfTky4ZoDkWUw8UNjOjGGZdTFJROPW6yO3MZZtcEUNF8icUis8HYfEt2tR0LfzwqZhajBZi1PzwQ5mipJVweBY+P8N2q67vj5LM05O6AXElbDpHzjXG9Vg3oc1EDpba9ISomOctTWOpG8XzQdNsNbsukbPB+5ZlaSFEUlLMkyAp8bAThlHRdIqHLhTj9eW9GvtMbYvr3pmMVsWEFWMxju22GU2mrYTvv1NkNIfnTH9MzGPAWM2myXz3W0tdCxUwnWeSt2gRXKPIyqCS8PgoZZtaoWLA6EiMQtUocj/hiMyqwdUjWhm2Hz9Q657zSfG42bBtW8SDbDaIq9AxoHJAUkAFXyLCgkdJxu4qfLaEwdPuWiRlOgd4VUbsOketPDmVQQhhDKTDmaqy9NGjUeiHLSb1zEtgZ0CHjNQO/fwJUkLFgKCJtkE1ghaFnkeq409I12JJoCDWjtQv7EUxDB6lFCdn+e3jA67tkOcjKkUyRwwdurJgNVkrsnXY8+HCht7Ph3rNkCr1GozeG6bgK/rTx6fr2FLx4TYRylpomy/Hw92D0nWH69hTpW6RVPdP6L3e6xupd4D6Xv+2+ndu3f+5db8GPP/Ssv8WcPpLM07XfbwlPnIuGNMGfwAAIABJREFUv/g2zuqLGCnK/Pd1bOlKmNy3/dfXsLrzlSrywnun/r3rXlEAcbjzYixLAZd1JUxTSQAYhlub/3wuwApK1zGE0uo2KpdQ/FyAqQ8Ka4S6ysQgJcrKFNe5X0rckjaKeVFoqzmfhBAC/Rjp+4jRhmZXIWJxJhMibLsNMTpeDokQLcZWdNuaHz9plC7TnEKAP/yhxEE5Kzw/w6dnxeZCWOWYyaL47mMh+1IsZpftRhBVUdd7rM04M6DkA822ISfD8TSy3VY0rePlbKnrzLa95JrOpZ0OELNmHktrfb9XDJOmrSL7rrwHzcagcmLqM1WtMFYXo5K+JASkMpb16SEjKVM3mQ/fGVLMnE+ZadEsSyQRMeZEvdPUbYW1wnj2qLwhhUzdFEArKB4f8iVOClRYcLaYw6xTmHkAhClY6gpMdqRG0chEnBPbas+uadEJJreh6yrEB9ISsBKI00LjEk4SSgnKGoJY0uTRlcXqTJwWmAZEl8d2doEYsVWh5/1PRzIa19Z0VuFTTxMDyzLTzQvGOpKt4HzG+AWTFqIY7McH/DkQs8akCfXyjN60RXsahOgcffQsfqZ6OVJnhdNCrCqabYf58SfiuUy5UjSF9dzskIsOtYwaFZR1SIygapQsN/BpKpRkkl/+4vQouAFWpdXV9FQMUuerUVOtB/92e3Mqrlmoa4D/us16kro/Mb2D0/f6xuodoL7Xr6v/wNb9z637F536P7Pd3wOcro+t69+D0yvwTPIFeL0nQUQuRhK4TnoK4fVUxJVoWdlQpQrAfAtU10ikVX+6sqLG3GKk1tfrF6Fpy8SneJkIpVRhS8+nyyhTieTsmaZIU2nIFaN3WKcYp8KSaTJNVQL8rRGUCKdDAXM+KNCKJWq0EU5HIebM8Tzi/UTwimoj9OeK/abDL47NRpGS5dy7wk47Q7vR/PRjAbz2Emv1h38p7fCc4NNR8fIC+12RTMjlPX7YrzmvZRJUty15A85C01gaq0l5S91siKGwx22rabdw6g2VSTzsy5reF8OQUoXZnvpI5YR2qxkmRWNC2T+KtgOVI+NQmExris5VIUUmgWEcMt9/VzJg21b4/ncWrTKnQTFNwrRE+mmk7Ty2NTTNT8RQMS2WtLQQNe1WIdqQA2yaRFVB2ymcLJiqfOlyzlS+RDFEsVSVYKuK3b7DTyOdjgQausrQ1orBPdK1qjB+IeAI5HmhtglLRDIkpdCVI03ljqc2seSWjhNYQ8bQqgWlFTEpqhzw5xllNHVXYStNO05Iu0WnEXA0rcZkoD9jlx7GEaUzZtfhzwu4Gpki6ngoof1eMPNAVIrRWMY5MAJ+jtQK6q6j/u6Bjbvd3QkHKrVDVQblDLluEB+wYSph/nFBsCDLnTnKQIoF9Y/9ZZ2vt/c1dyDVNsWR1zaXG0RhFTQra4pYe21jrAd8COU8dD9haj15rHeW60nrXYP6Xt9YvQPU9/rL9Q8ISv/cr/8acPr251+Tcv3S6VDwOibqfh/rONUYXptt76c4rb/0Vne6OvXvdasrOF3b+fcxUWuW6QpOY7wAqrtgfn+LXyR4YV4UVa2uMVIhlFZ4DMLhqC6a1UgIPcs04qoS5TT5lrY1HA4GZzM5ZjZbxfFQwGIMJdppmhVZFNpp/FJGmh7Pmpjh8DIxzxMpdzzshOAT2kzMi+PhwTHNimmCORh0ramt8Pxc1m2akgDwL/9NeHgocVd9Dy8vRb5XxqxeIp2a2wcWoqLbaLRRNLVQm1g6rOKwemKeBB80TQd1ZzgfDU2dedgLWsM4JsYBlNaEqbCidV0c+lOfaFzm8UP50Bqb0JIZxvIeOyvULhO84vERctYM51wioqKw2WmenhRGZU6HzDILPhqGfqTZBD5+98jDQ4Q0MU8ncmxJS8vuscZHjVGK7VbYdhcJY1owVi4xZRntRwIa0QZjoW40umsgeL7vYJ466lawKrG0j2xaTRg8OgUsAaLHmExl0pX1c5uKFDLZ1TgCYfCYFDB1aUXbGEqG7hypTCJ5Ic4R01aElEjDGXGGjcnY7KiqDIMvzzEu5PNApRIhasxji0hEROHmM+b5J8xDi1gDumGxjjCe2MeE+umZvqrpbQKn+b5psC8H4nlCUkKxQzcVcgnKlwwSygFna5BYgXVFVpDmwpBetDHK6FfxUvfGqfIXC3KbF6zqCtW1l9a8hfNwA6gxXOOjVOWQFXyubf7VELWyqPcnnbXd/x4x9V7fWL0D1Pf6ev0D6En/0tp/L3B6X78mgH8Fp/f60/shAW+B5joMJuWim12f19dipO6zUFeWdJ34FMINsN6vG3xx46/t9xUMe18ySQvrqgihmJi8L238HAuLl0Tx/FLGlErKxDCzzCOb3RaUJkQhhoFPP1p2m4acirGnPyXamkvEkuI8lDclJSFnKXrKQ2mxzzNMUyQswofHVOKcjCZnxWafOJ0T45IY54xWhspUPD9bzufiSJ8G4ccfYf+gmJfy/IehjCNNSVFdGOK2KYxVTpBE020uDLNJbJuMdeVDdKZinFomP9FuHE2beP5Us9s6dltBS2Lqy360LrmmYy8FnLaK6RSoa3j6oMhZaOqiJR1GRV0JxirapiQHPF3kiNOseHosOt12o3l8EKzKDINmnoRpVgx9ot4qdjvD0yPgM1pX6NwxTY7HDw2zL1FYXVtwT9sIap6pOk1OZVJWlSaWSy5pWKWMbYOeBvabxDSUwH9nBd8+YawiThfm1ETSVJz7hoRWZcCBbR3eC9E02DBhVURrT1Ka7CNpiew2ZQCDqxQqwXKcydohkgm+J3eWmplhjpgpsFNgbAUvL6hpxOhMjpTWvi+SiTzN2Odn3L4tx90ygnPkHBAfcDHQRspnpg3bpwcenEZEkUWAI849FlxnNdk6mOYifYgRDEgqGbakuZw7XFNkOU1NGr9s77/Sn96BU9Cldb8eqJcc1C9yTuXCqq6i8RihqW8gdM2Hu4+Yug/tfweo7/UN1TtAfa9Sf0+W9Neu/wvW/luC058jHn5txukKTiXLF4H79xOaroH4VpHy6/XvY6TW/a0xUiv4XNdbr19rbNT6eq0Rgr91ClczlHOFbayqYnpaHewrUzucM+qyZkqK5+fCoso1IyfTbiyoAjZVFl6ehf02oFRDVyXGvlxDT2eFKM04KVIWohfqVjMPJf901cj2p4wW2O4y8ZL76oPQdnA8a0JeOJ0nqkohInx+bpinLV1rGHrhTz8odrsiPzidihyhcurKnGpVAFuKJRUgRNjtCnjftondTqFUMS4ZqzifHVEeaLcdu27h5dmy3zra1pDjwmn2nM8RgyYslnG0VI2mtpHpXNr3jx81KSTaKqEFhtngTEIjtHVhgz9+V0xhfko8PiiUZJqd5ekhYU1JOJiWkvF6Oiu6nWX3ENl2iTR7iIkomb4X2q4u2bWNwulMXUFXlzuTqjUgGS0JmWa8czR1ZokGVytM41DjwLaLzKNgdcZVGl/vyaKokkdSJKdIXmYkZrRJVC6XkH5rSaLJ1qKmibqKpGFGbNGYpiC0VWFag4cKjz+OaKNxRghxIlaaTc50lSEcTvjsiU2HG87o7JEQUTmRtztSP5OrrrC2wwFTl3Z7mjy2qspNh5+YUiS+nFBVy0YFbOV4aBvU5wOpHwtLyiO6dsh2i9ptYQklJmuZC6PsF6iKcena3l8PyqqCsYDWlT29WAJv5xVugFUA3bXl4GpbRASmHr7/vhyY1V2sVNtCuuiC2rZICZwrf7+PlFpPDvB6vvF7vdc3Uu8A9b/n+kdp3f/Ktf9acApfgtO/WQC/lNZvTl/+7n3G6aotNXdH3gpI72Ok1p/fjzhdweh9nNS6fYpl/2r9d7qNG81JLiBT4ao797q+zb2fZvUquP/4kq9pBBlNVSswjmkcyURyUvR9pq0ylSnt6GEoIOnlqFG6tNoll9n1ripRVS+XvPXTIZNCRqHY7WsWH7B2Yp4V7UYx+i2L15zPI13XEaNiGIV5HLDOcTx2nE6lRT6OZRhAjCWjNOX1en4J/p/0ZVa7om1La/nDU4leWt9n6xSnXhPRNHVmv9M8f67KhCi3IPnMOB05HgNGLAHDPDU4t6W1iXkur/3xESQmmipjK31lc41WtLVnniPbfcIHyzJqHncarQ3dxvCwjdQ2czoKkzfMU+ZwNmy2iv1O+P6DZhkNPvWolDkPGtd0WFuV6UZSBiLUOmAlU1VlxKzyAZM80RgMiXE2NBuNMho9j3TN5bMQKTrMzZbkFY32ZB/JS/n9nAvj7Ewxm4l2aGtJWaGWmcplwrmE5yrvUcZQW09Vq3JjZBLh80CKgmlKrmdOJXqs1RGZAqZyMAfC6UzjI2ruMUSSqTDOEHClq3A4ID/+hH1q0c6glIWmwfgZOybqYaT3AZJHb2o2//Rb2jAVo1zMICdc9wHlLKJU6WKEiFqK8FpJMapRVSjfF4CqK9aJE8X9X+46vwCoproc+L5MMAP0ZlvujEzRmAoX1tSV4ao0TfnTlui0q4D8Pl5q/dmyvHZgrqNR344/fa/3+k9e7wD1v6f6T8aS/tJd/FJw+lYv+jVweu++v//ZV8GpyBcZp/cxUivw5MLQvY2gunfhryB2zR29j5Fa80jhJgFY9zNPZZH12rQ+FkLRvaZYQLF1t3WWBZzJ+Llkm46juj73eSxAM4mmaYv2tGsFJCMYlFT0/UBOCkmJrmtwVX0N4h8XhdIwjYI2Gp/Ki1hNVuTM8eXCvqnCfirt2O93DFNLu8t4b5mnimUZaRpFSophKCysc3A+R06nQiz1p8zprIpnZQPzBNYKm64wtqdTAeUhCF0dCV743e/V1WuSUmnNn0aLSOZhm2jbMkp0twOrF3LumaYXDp9PaFOT0Uxji1MDjdWEuKFqNU/7cndSNxprNf0plxnzQNclpmmiriZSUEyzsN84sHucFfabTLdRnF7AR80yC8fRsd2XkP7ffQwoEWzTELzm5IXt3mFMhaLof7c7sDLhzELMGYMhnyNdVTSPjiLpcK1FOYOLE01Tpnn5CFVrcU9b5klodGEudQpoCWgtaIkXaYhC1w7XlczU8TRhlGcZZ9pNi4mBrC1pCmxbQRlNlRY4nQjJgLPopqZeTqi2ZllOSMzEbDBxLDeDSzEq6bCgaofe7ojaIcGj5xF9eKZ67MhKo4cjVI64zES/4LMgPuFMQ9UIbr9nUznU+UQaJmSewDyirUbtd6jNhjzOiAhWAuy2KD+Bs8hVHG5RTQ0xopwlhfxVtlQDcn+yQIMq7X2lyolCdS0yzqXVcB8ztWpwVkH5GiO1tmbWk8K93uddf/pe33C9A9RvuX4tIIV/SFD653b1twanb9dcrwOvwOldZunqYfgi41SV9r16Y6ZaO3MrsL0P0V/b9Cshcu+2vzdAFT1hAWNr6359TKS0r4VbcP56HVsW8HOJHZpnCEFdzVA5wjjAqS/sZ93AMpcxlIZMSArEIKlDi0Eksnt0KFUjyiEUg9U0lba01oplKmkF514Rl0SYM+NUQuqhMI5KgzKaJTV0WzgeyxrjGGlaz/l4xC+JGGvq1vDjD+CDZdOVKKyXg8KYQkD5y9jMulFUTdG51jWonPiwL/v+p38u70lM5c/uwXI4lG22m6LNPZ0UbZVwGrIE/Dxx/KyxtgWz4XzoaayhaTU+JuoKnvYJhWCrYoLq+wvuUJl2o/HRU1UzlW2YJ2G/1Rg7YvTMx6eG/VY4DoU9m73m0Gs2W3jcJX7zIZb4KJdJOEKuaeoLY65LyP+2AxvP2GpkXDzOZPrDRNc10G6BC6O+bbE60emZRKatEvMkuNZiNjV+zjQuk5aMLAGrAigp4fk6l+PGOWzrGMbI6XAipoU2TWSlkH6hafbInNjVJeEgzx4TFhZfgK11CjMeUW1FlWaM1fT9gvMjwVU0y0JHKnFYGmK7w/iF7CxxSZjDC6quMDLBMqPahqRhnCfmYUQdXlhE0+hE17Q0v/8N7vATYZgQWxhLt6lQbUUWhRIQpZF+KMczpasgdQPHI0JVwKxWiKlQTQWfD+W45ubeX1M3yBlJl4OZVML817Z80dncgGXXFYPUCkSb5jUgXU9I6wG+zhVeTzT3wPUdoL7XN1bvAPVbq38klvSvWf9X7PbfAk7/UozUPVgV4cqW6jsm9GvgdHXh55+ZJHVvclrBqchr38Pazl9B6lUnGuW6r5VpXTNOcypsaUzFLb/ux9oCQMMsBF+Yw2kqv+/nfGVkx7lEIxlbXmv0QmUFawqYlZRKzFQ2WLfh6aPCB1Uu2lLAbz8UkKqVME/lNfZnIfnE0MM0FTBpbAFVog2YAlKdKs77nGEYI21z5nQcmefMNP9EUzf8t/+vA7Z0rWMYCph1thiUxqH86WqNsWWtrhVySGz3JXP1t7+9fKAKjNXYSvP8KZeg/k0B/cMpYS1Yd3m/08zLZ8FVjoSn/+ypqkzTBbyv2LSGh20CNNaWdn5/EoyNQKBqAt4bjJ7LTcIM3dZQ1yV+a7dL7HfC4aSJIdFPhpejomuFh03iNx+K9qO2mZAM06LJUlhhLUUbuWkyLnuqLhH8wrZtij6y7RDrmZaANQ6z73BppiISxsh+mxlPCfuwoWoNMSmsSqQgKL9Qa08Mgo4e7cp3R9cOsY6cBD9OhOT5YDPZtIhf8GT0MrM3l272HLFGWPpANg6jMiwR+7hF+5m2UcQ+o0XI3Rb1csIFwaWAJpK3+5JxKzU5JHR/Qh1ecA8tOYFrHOIqlmFgWTztNJLHBYIiPLSEhx3dMpF8Ii8BOZ5RrkJLQjU16umRfC6xFVYCUpXJUGIdap6AAGhU0yKqfN/xnpwLAH3V3lcO6tLeV8mTTYNKATEW/f13twPZOVjG20Qp566RG0qXMb/ryUdxMU2t7f6rVuhNlt3PnRDf673+E9c/VHCaUmqrlPrflVJ/VErNSqn/Wyn1P/0V6/xvSilRSv0/f4/n+Q9V92jpl4LHX9sS+nuv/wt2/7Vd/KXtvva0fxU4XbMKL+D0vk0Pd+A0q2vL+t7cBLe/v3L2yw2crgBx3WZd+5pxGssOY5DrtitTau2FLRUIseRL3ncJjSpoNqWV1SzgNPrMPGZSVvioOQ2GaQKjBZUTktbWtDCeEzlmDod16pPm4YNhXgrIDLHkn57OinGQCzgVUsicXhJhyfR9yT/NoqgbhXYlz9FeQE/OZVTpshSg2dUzp+OE9w8Y8xvq6jf8yx8UStW0zYa+t7y8FDBYXbStTadpN/oKwBsbkZjoNoUlfnri+hkpZ1EKTi8FMOx3gsTEMqYrViAlnE58+tFgawVJ0z9rqmqk2cz4JdI1jt3GorTCmVyeSw9Ge7QeqJszPsxodcKYkXn2tJeRo4ZI1wnff284norEYvCO41mz6YSnjef7B4+WRF0JWVsmbwpjbjIqJ1JWbOqIJdJtFDlHjMrIMGNqS90aQtAkEVTX4vJCRXHPPeyFZUxUTxuqzuKDQmJx5pu4IIsv30XvMba8vqQdSbsSWTZGYk40cSqsfojougZRyDLRtIocEpUT9DIRxBKzRlLGPW3R0VOZYtwiwLZr2c6BbYp0cSz5n5dYpqgcGU0+njH9EbPfYJxG+5kcMypFkp/LzU4IRa/auHIz2VSY0wt5WooWm4RtHdRFliLhogcdR4AyQOBy0JYjQKBuy8FWVdB1BWdezhDr/zMGJRcm1BjQrmSbGot+2KHa5pJ7JsWgJVIA6go+RW4GqfUudRxvrOu9DnVlUNft7k8w7yD1vb6h+kdjUP8v4L8C/yvw/wL/M/B/KqW0iPwfv2QBpdT/CPwvwA9/t2f5H13fKEv6tfq3gNO3P/9F4PQSC3UPRu/1pOvvalNAhXC7NqxO/XU/9yNG75/PKmu7j5G615uu8VTBv9alXkeYSmE204UtDcttXSWZebxdz1K6tfGjL2PDl6DBKCTD4SDEUCKOoIDytr2wrqmwnZ8+Qd2W0aVtVcL194/FADRPwul0eQ0IcclooB/L8z2d1fV1bvaGhL5MTZKr1GAYimYVEdoGfvqUWBZNVSm8t/zwJ8OmBZGKvrclY7UrgNoHTd0Wc1TO4Md4DadfpXofv7uAabE0VUZyou9L2sFuB/NQPpCqVhgSEgVrhD/9ZGjamrhMnPuFtjXUjcPPNdtux/5xi2RL5TKVzRyPCldFtO5R6pm4bOm6Cmcc/TRQNxqjBwTNZhP5ze86zgeLaMOwaM5n6JrMvg18fPz/2XuXENvybc3r93/M91orYsfemSfPFavAix0f2LSrjQKxIVhWNUoEy4adapRiS1AQBVuCaKdEirKaWhQodrQhlNoR7Ik2tHERLK17z8ncOyLWaz7+r2FjzBkRe+fOvJnnnLqV59wYEMTe6zHnXCvW/K9vfuP7vlFoasHXVjNQRxTcPWmTDbs6MDSFutXRsAOFcVpw7YB3whSgqoFuT2MjNgagsBsUnFa3A76riEtBQqLtIM+RPC40raWMs6YfeZRtdE6nis3q1mvSwiULnc+qAQ2JZYq8uamRXHCVhWVmSW5lyRP+0GOmEWsSLo+kpK9Rxgk7j5gwIyFSDxWp22G9R2IijQvm8RExltpHWCKuV5CJCBUwvb8nzpmyJNy+Qb74gtoI2TeUMMHlhOn36ie63SO3byinC4jgJGl7fZmeRqeZ5YrgMfUzQDR+1dzgEPKL9r4Bs8ZtLAtSImSn4HMLJDYGU1eUOazak1VP2r6QAFgLZmVHtyka2yi3TbO66VVfLk6fAtXXeq3fgfrJAFRjzD8P/DngXxaR/3K9+X80xvxZ4D8yxvwtEcnfvQUwxnjgbwL/OfBPAe/+fh7zn1j91LSkv8r2f4X6VcHpS7Zzq88RDE/3r//4tK3/8v85q95v29anaQAbeNxA0QZOt07ctv0NxG6u/ZcZp4i26bfHba3+TQKAiLZ3K/Nk5N3Y17hoqxrzzEqCZppS1Nk+LZZ50Zb8PCnQpBRENJaprjRcf1lUKuC84eGDoVnBXuU1XP/uDh7ulbm9XqGpCstUQMzTSNQQDeO4Go6tY3dryUlnws+rP2Qc9TjGiwLutjN88w0si8cYYbwW3n+w7PaFGIRpdIyjznAXLEs0+EpzRU1OpKi61o2QMtZwcwBTeWIWhk7Z5PEqtK1h3ylQdV5d27ZkQLM9399bZRuLYRz3tF1H1yzE5cDNrmK3r5BUaFtlm88nqJqM9yOYR8K0MPRClpYYdjSVo28qmrrmcMi8e9txuTRQtVzOcL0IjYkcOuF2nxnajKk8ITumWS+E2qasLGRmqCN9qyDfm0ybJ7IYfNUR0sySLL7zZNkxpIWSDc5mhp2Qlww3t9jGICkRp0zfQ54CJkXqxhCvV5BAEcHbhtZX1JUhXgMpG6o4Uvc1JY5c4kKarkzXmTe7Glcpy+jiTAz64avaGmxFJQGTFtomI8Zjk6YDlOsMxwuVSVgryLDDTDPJOE0JuJxxccZ5PTnFeaRTR7tZJpqcqKeFi60wncEfBvq2op9OlNNFGWFX47saGq8ymGXRk+R4VHzXeExxKj0Jqyux3ylAFTV7yXWkxMxLgGowGqzfNk8nrfg9Jq5A9OZGt9U0sLXstzGmoAvFyyvVDYhuIvRNlP5y3Klzz23/Vw3qa/2O1k/pcutfBC7A3/7k9r8J/B7wT/+AbfzbwB3w7/xmD+1PuH7dtv0PWah+7D5+7PZ/zfp1wOmnt3/WEFU+fu0vJV0fvSVrBI2x5omk2MiLrTaG81Nw+pI13bSj8GzStVb1miXrDre2/8u4qRSf2/tFFCjO88q+Bo3CSaGo3GDVnkrW2KC4FGK2hOy4zu7JRT9dMo/3zwg7LRqL1DbCOBlithQsHx60zVlVyi7OQdvPx0c91vNR26vjVUhZQfPjUefJz7NOfhJf8eZO39RNEjEMasCKS2Ea1dBVN4a/9/cU3Fa+IueWP/rlyG53ZbqOXC4Nx0eVBcRsn8xBrYuUkEhZZRb7PU8azd2No+o8cdbXl6KC8tplhkaTAHLWP4g3asqx3nJ6yLgSEQyPR0Pbem52DSnsaduefrfmbTYajH86qfa18guVvVJSz9DXWNcxzwFvRtpWaLznyy8Hfu+rHeO0I5uW8xnGc8bmyM0uc3eTefdWsF1DEscyC8ss9G1hCQaTE32dNBrT6+emTutMeVuzH3r6dkez70nJ4eJITjOmLPRtwVaOdLjDNw5vMnHO9J0g40SZFqwR0jwxx4mJQDSZyzIzx4nlMiIYzHhVGcScqJsB4yxxWehqi69gOp+R6aKfzWwovqYE1aKasNB1+jdKl1k1l49HnCRtrwPuMOgFYddq0P/7B8z9BzAGX1tMWHA5QAiYZUZywZ4udL6hz7AbWvZffsXNdIXzRFmisqdtg3UGt+swtzeUkHQ0r2SkquF61bZ+Ecw8IVWH7daQ/KaB3Y4yB6TMz2sLIG2PCYsuAOuPMSgj27aYoX9eXDa34jq21OQXkzjaVpnY7aq0qp6NUlt4/yZK30Dry0XxFaC+1u9Y/WQYVOCfAP5P+Xj8BsD//uL+/+W7nmyM+ceAfxf48yJyMb9NJ+ufBEP6q+znH9B7+OuC05f1ETj9hCl9+bwNd29gcmNLN7C43b8xm1ttDObmW9i0oZ+29V+aoYxRYLqB3c2pv+2vZAWAuSg4fqljTUkPOAVlU7d95AwWbeOXAsZZQtAw/mXWmfUUYVrgfBKsAVOKtt4HZRHnYDDeEiedM2+doe30+OZJcFanHqUlcz7qmxaj7mNezJoMAEtyZLFYJzq6NIK1iZQCUiLvjw6RmutYPbWQ7+91H11vWGbPH/3hwN2N5/ExkYLj/tLy7tZzuRr2OyGHxG7Q/NatU3r7Rlnbfme5vbOUVLietKUtBS7HTNvo6z2dFODvh0JVKZiufOHh64hzkIrheIShL/StcL0auhaGrkCGptW/4ThZvF/TDkxgGoXDTcMSW8IyYW3A2Exdv+Xdu4bbG+FAv69gAAAgAElEQVTh7ElJuFyKDkcomdtD5u5W2N9YgnhKUmZ5Cfp6l0XzTR2ZtoamMTgptMyYyuP89lmo8fuB8cMDpkwIhZBH6qHCNntmv1OTWgksY9RM06vmnTadJc+RuCxkk9j3PVVtSWKZzydKtaOLmmuaRzUSSZoxS+LtcGA3gCyB+fJI6Xpy6ZG6wi1Xql2j8VBOL2rSccTvWuTDPTYp0CRG/NCQmw6LKBa7jNgP32Dqiro1mDCvmkxtY9iSkOORHDMmCYddh//ZO+wyUZtCWCKyBErV4btaQa9xyp5ai3zzAUsB7zDJqjmqFAgzZtjrOuAcJkU9xlIAjxBemKMstqlVl7o5ENdcN3PYY6Q8u/O3SI5uPbGcfWJMTV0h22LxMtf05bSpDdxut7/8+a6F8rVe67e0fkoA9S3wf3/m9vsX93+2jDEW+C+A/1pE/rsfu2NjzJfAF5/c/Ps/djs/qn6KbftfZR+/4fqNg9NPHvi94BRDETAvNKRP2+HjwP2tDf8pON1Y1G0/m/4S1NC0helvMoFteIwxPI3iTPlZtxljIudACgHvPaXUiHjAPI9SFW31xqyz7a3TsZ8lC8uk4FREW9vXixq/vIc5GNrO4BtDTIYCTGcdRZqKuuBzhphVXxoXHS16vSpAul51X+OkZqmQLVPUVn5VCf1ufY02Mk0XrJ05HvW2aWrZ73cY43m4V6DZ93C9Cn/0h8LdneN86lgWy7LAF3eGZRa6KkESdjvNb91GxfaDRmTd3ln6tuDIhAg3B2Wfzw+JtjN0veH4kJGi4LluLfMMlQSuR/2wJbFcL5nbg8oepsnQd5pTihjauuCc7t85ofGZtjZMo2V3aynJ4qSl6ixGMrvdLT9713P3RcPx4shFuF6Fy0PESOHuTri9UXAq1gGG8wXCVBj2hrAIPi84bxgGwzCAjxOVzZjKrRc7q8O8aTg/nJBwZmhqus4h2VLt4WobGptxMnJ6nKgdmAAuC3WjIbkiQAVVVYFVzbCNgSyWfDxSvTno1Ka2xhlIl0WnWO0dJQTMPGNqzyXAMNRU8xW3a7FBj7dlgTlgu4byeNLW/jRRlQVbe716MI6cCnm8Ih/ucbXHpxmXAGdVDztPqledFxhHiquR2uN6nW3vj9+QrjNF9GQ1b26xtbKnMqxMaIrY2iPG4UpCrNNw/nGEdsCspihyhmGgnM4aU+UKkpMC1G5AnEOG/kmjWpx/noQBzwAUvajcmFWaRgGqc7rPm4NKC17GS20ygK3Vv7X9n3RB8PXxyDcfPsA33zyNU/27f/fvfntBfK3X+i2rnxJAhc0c+ePv+7eAfxT4F37F/f4V4N/7FZ/7w+oVkP6x9RsDpyIrOP3jn7e17p+Y009a/J9GRW1g9FuTpHgmNl6ymtsUp415fRnSb62CVoTVgW+ezE7qtUgs84llmjDWMs+C9y19v8MZS16/y2xlVxc/lKKmp7hoTqhBQe94KYzj+vqMISTDsFe0vQRNCzhd1olLWceDimgSwDwVBMP5rARO3SgotW4dR5qVfZ1nAKFtVwCeta0/L4EiM/PY47xhPAl9P5JixenkiBHaRnh8EO7v4e6NcL5YTheDYLi5EcKcqUyhqs0TOBb0Nd+8sYRk+eKLQtuoEz8GNVylJXM+Q9dbmlpjlSQLu73qV6+PkaaBx4td/+7C9ZzZDRpbFZPl5kYjt2IQDjcGYyzTqFrVts60VSFlz82bjmlK5DxSVYa6sdT+HT/7csebL1oeHwWRwngRLo+aMvD2rfDmzjLsHSuW4nQspKWwPxjmOWDLSJDETW1pG4+bI1Vrses4MufBtRVJHOU0UuYr1dqVTqFw8/Mdx+tC7RZqO3F/GiEmigl4cTS+o8r6N253DkfLNF8wzlJJYMpCOl3ZvzlgS6LaqeYxXCNSLE0LLi2Uy4itDctk6LoeN18xfYdLE85BYxJlySQM4XIini9U1xNNzuAd/nZHDBlbG3Is5MczJgbEO3xXIdOkAHM9QYwBmSZNF5gTbuiwP/8ZdrzoeRozcrlSqoaqMsqeNh1mHME4uL/HlYDpO0zKiPcYESgZqRuMs+v+K4w1lFwoIT21VeyqkDMxwG54Pvfr+qllz9u3L4CmAPlj8LpFTW2Lx3Y16xxm+yNuouptgdpa/Ovi+Nf+9t/m3//rf53Xeq3ftfopAdQPfJ4lvVt/33/mPowxfwb4D1D9aTDG3K53ecCu/19EZPqeff81vq19/X3gv/2Bx/7tem3b/6j6tcHpizu+L4R/23ApCrA2MPopOH3Jhn40qrQ8kxjb/l/KcjdT7aYbfTkU5um4Nu1nXkcs8qxrTUlBhR7UzDTONO1AyQqGLpcR7zxVvcPXrBpZBZg5Kjua0rMrPmfh8V4ZThEoYnHe0FbP8VQicL6aNVZLu49xKbR1YZw173Se1fiESZzPgTkKqdQsS0UInnHU70zv1R0vRZ3242SAxDhqeP94UfB7vcI8J5U4WOGbr9Uo1PWWcTZMs6EU4WafCVMhZ0PVGtpW5QD9oCaupncsS+HLLzJNo4xyXvM846LHPPSFymXCpMkIN28szhSWseC84XhiTU0Qwlw43FjcevGw24lO3QpwuFHd6zQKacnc3BqaqlCMp28KaQbvdtTW4htoKsO7Lztu3tQcTwYphfEYOT6CLYl3b+HtF5Z2cCutbriedF99b5jPIyWfSS7TNwVrE/kq+MMeu+pImlYZuRgF5gnJhdaDmESJlv3PdszJYI1Qm5nTKdMVQ904JNVcx4nOW4SOqnX4xmGTRfqONJ2YAsTzSNc19FbZdTKYHDElsx8qUhDOHx5VH5orrOvw15Hy5pY6jvgK3DJjbGIusFxOzMdHzOnMUjLJGG7v3pKWjG0b8hwpD2fsMmGcoapE87uGAVmCnks5wkXNTyUUaFrc3Q0SIi4t5PsjMgV14/cDdmVXxVlK0yHjpGNFrcPmhOSiOtSHB8zqnje7QUecIhACsujsYGHBUmFrR2k6bI7I6t5/0gE5h3n3VuOlvFuvUNcFY2NUDc/6nm2B8l7BbNBjV7Hvi3XjZTt/nUD1V/7CX+Av/sW/qOzpfg/G8Hf+zt/hr/7Vv/rthfC1Xuu3qH5KAPX/AP6SMcZ/okP9J9ff35Vp+o8AHfCfrj+f1sN6+7/5XTsWka+Br1/e9qM1rD9VQPqr7udPsH5lcJo/vuG7/FsiH29wW+dftuH/OHAKz2DzZRv/WxpXeX7cp+BU+UDIYp4yUGH9fsrlo+8p6wzjUWnXHAQRBV6ucsQsdJXONzeo+SdnCLOC4nnUDYcAx9MKgq0ytFUFTS2IsfraEB4fnz0ZTS1M58zhxvDwoC/8fFmnL6XEZdJw9hhhniau1xaRHW3rNUNznbJVNyozcA7uHzzLmEm50PeGaSqMoxCDw3vhl78QUrHUrSGmzMP9QlMFdq3lcm4Q8QyDfh+//2A4HMDWGhk1jZmvvtJM1FIMtmScgWnR1viuSziryQEZx91dxkpknkBENaspCstUyFl1rFIKIRhuDonKz1yugf1eyALTsSanmt1g8ZUl4+jqZ6OabzyOgaY13H3p2fWF06MORJgviYf3GWeFN3eGwxtH1SZiWjAmcTk5YqjoO0eZI4YFsZFd62jNAmFhcYU6VThf0zQGu+uJ14DMQaOdyPR9xTV2VG8qLjHhJDHUTuOkpkjdWQV1CJ5EiIl+56j6SnWWvmFXCqFqmS8Xut2OXW0wttJzIUZK1nG1vUvka6QZGnJVkUqNiwvNl2/xy1UD8aeZphUkQQ4T8/lMMyewNV5m5q4meE/vHClk8mVC3n9Q6UrrcXnGDD2m0sEOnE9IDMjjidJ0pJyp+hp7s8d98wtMWijWUy6PlNs7qtpA1+kggGkEV8HjIz7NazapfWqf67Qoj21rTE4aY9U2lA+XJwOTUKtudb+HLMhOQaFZZop1z1OhYlQTlNEkCZ14gQLUbfzbBjg3RnQzRm3/3uKntivibZ3ZFjvn+PLuji/fvoXbWzgcwBj+4A/+4NsL4Wu91m9Z/ZQA6n8D/OvAvwT8rRe3/6vAHwL/63c8738D/tnP3P6fADfAvwb8f7+5w1zrFZD+RupHg9NPXPcvn/Ot55nVOPLi9m1tf2lg+hw43QDkts2t7b5FR23fLYbnEP+t9b8xsjp5SuUGRVQjmMvH245LQbI86U43oLhMhcpZrueM7TQgX2whRKFuHDkWKELKyvSlKJSk+lBj1Mx0uRrEWFJW7VvXaQxTCEb3mRLv3wfCHBh6R+1qLifPzY2284vob+/V+DSlSEgL1vTEYJgmIecRZyu81Ra5r8xTF3JZIMfC9VJhpKVpRu4fDPNYcK7Fmoqvv9GWvUTDPEeu5xO1HQHLNAsQaZodVV0xzdAfPDihqzMhwFc/E80GLZqe7ryyszlm9r2O5pyjw9jCXR8oxRCzoRjLPOrUpOtZqBvD7Rs97pRgvwtYNzItV+r2yhwXylhDabi52VO1OwwaebWZ3prWYsg0vePunWW/h8cHQ1kCIRoev4k4I9zeOQ5vLP2+EJcLRQKXM/r6KkteOprKkXOk9qrrTE3CWkNOM27xHG4P+H3Pclo0sH7RuKumgeI63n11wxIirkx0dUXlPOl6pXGBUhpMyRjW/Nehx7ceWxI0NT5FTBaqueB3Byqb15xPAzEoS10Mg10o5yvOevphxxIt9jzh3t5h5hFvErYE2t6S50ARw3J8ZFwCJS94KZi+p37Ts4RM5zwyjsRffMAhkBOuFGUw2w5ieBocII8XxDnKHLBNi/2Hfg6Xs+LMMSvbWVWYyqv21Kq8QvoBuV/HlLYdzuhFo3gPVw30NW2DadX0ZJymBhT0XCJeMAiWVdu6zHDYg2hHwrQ1klSzyldfKXvatvq+VbXmvdX1mnFqnq6UzaphfQq63RaJF638j66cP13Q4LOtoz/3H//P/OHf+Me/vaC+1mv9FtRPBqCKyH9vjPkfgP/MGHMA/gD4S8A/B/wrWwaqMeZvoKD190Xk/xGRR+B/+nR7xphHwIvIt+77FQ/wV3veT5WJ/QnUDwKn68L/sr4XnK7/EOEjDeq2jZfg9LuY0081phvofAKn5dnstDGsW65pKbqzlFTfugX6b/vb4qGsEUIyK2uq+aFShMrLCyd+i28yl+tE5WFZCk3VUFmvMgB0WyVDWLSdbqzhOuloTyw4Iyxi2e30+OdpnUiVMu+/PpHCSNNYYhI+3Le8e7fncvWkBPePln5nGcdVEztHltmQkrb8pUBchN2biNBTN8+msdOjMmwPD+Csp2t33N/XhDnRto4QWz48eHZ7w/WiGtPT40jTTsQ4UBmDMULdTnjnuC7CMKjmcdfX5OT46mfrHyBDQV/fh28KXSscdkIxjnEShjro3wFLwRCCMq8GjdVqOsOuL+RVlvHmRvB1YF5m+s6SIuR8A2Wi3zUYO2OKo+0HrGQynn4wSo4NFW/fwm4QHu+FEhJhytzfKyt++67i5gb2O6GUGZGFeeoRgV0diHHCNh5rHbvWMo8XTAdN0+F9ISRwvScimIcrpExYiqYQmUKuB/a3jmI9nRNs2+JMIZwXbjvhMtdcz2eaCopA3Q20XY01glh1q0vKlNWl70lksdSthWUhZU142LdRo5gE6DuWRcjzgrvZUa4nShqJYWS3r0kRRCxcHphjZLyekBgxXU/besycuOt7SiqkhzOOjPEOZ4sG6Nc1JiyYnDAWyoeTXmCJI/mK6mfvMDnhsrbh1QCVKfsbKlug6Slv7sjXCzOWeDzSSKKpOpxkwCDTouyp0QlUT675ysOH9xpV5T2CxWKwNwPFOOzNAdlMTvu9Sgf6HvZ7TN+pCQqg65BpUYC66Uq3gP4YdbJVeaE12hjWbeF5aZbaFp1tytS3FsHn2oVR5/6+1mv9mDoe/0EfAfATAqhr/XngP0Q1pXfA/wX8JRH5r148xq0/P01U9sqS/qD6XnD64s5PyYJPn7eZnL5v298HTl8G7r9kTl+2+EVUJ1ny833bc7ftl6z3CwYRg3Ufywgkl6ftWQshmOdoqagbMkDBEotBLFixtHVP5RzzlNjvPM5UUCwxKDuYi+E6qp7VeMsyy6rfVEC0RI0p0qgoBcHzJEzjSAwTh/2gzFyBnEeOx4YkDdfJ0nTaGk9pHZGaPOO1ME6FujKUUtgdoEhFs0ZrWSO8f6/fy/cPUFfgvXD/wTHPHXVjiRF+8UvD7Y2aheZJgeL+JjNPBucymEjVZooJXOdA2zYYdExoDC1ffdGRky5f1hlql/n6l8J+Jww7Q0yW8TFwOKAjLdnitgrzGMAmzpeEN4Zd3+jI2LJwuM3UXc14nenbQpFMyWDsqs80EW8dda1JALFYdoNmhfnK8u4LQ1clju8zZc2ifbgXnLfcvLHcvjHsuoz3hjlkzmfz1Jq3FmpXMLLQS8Y6we4q5nAG6whZqG8GSlg4vv8Ft92OkhyNMzhroB8YbiuMKcgScLbgScQx0biEcRW1ZNrDjlQy1tX0h47Grxd1MWFSpIwzBYsvEd/qiWDDTE4FMY6hmqnjSCxg20bzTqeE3Q/EaSSOZ9JypW4d1/HMbFsO04UwzeTrxC4JMnSYruUUZ972e1w2pF++V+bTOrwr+DDD0GlO6aqZMfOInM9I3VJchWsbHSX69S9weSGNQTNdqxbjLHbX4g4DcZ64GBjPZ8iJpfYMYcbVFU6MGp1KwfQtZui0vZ8ShkIWzQMmRsRUYJQFNc4jXaefQQolJZUMlKLMqxQ1Y23xUiJPIf2af9q90PRYZYhfxntsC83W4n95Nf0yVupl7NQntZ+u8OHDt25/rdf63rr/rOXnT7x+UgBVRC7Av7H+fNdj/jLwl3/Atv6Z39RxfW+9AtIfXZ8Fp8hHjOenj/sInK7vxedIg8+18LfHfhc43b4DntryK7BMUdu3zn4MXD8CtqLtzq1F/7LbJkVn06ekYfTbd1TOa2t/JUxcpV8swnM8lBSdZ++sw0jHzWFlXi1MkzrIQ1IzURKDGLichHHWsZe5QErCoOZiwlwooWjbXyCERF0ZjFXwljPE4rmOBkSNKTGqbG4cWSc5eZa5wZqRUgx1LYDH2kQMR5yvOD5WGOM5HlXPiggP9zAHi6+V5f3wXrjbR95/rVKEORje3MD14mnajHDF1lnZ4fSBqqnpm38YaytKTNzdXQnRUUpF32RMKbz/AMOQ6frA6WGmFM/+0IDxeKdRW+NFKJIRe+L910faQWOmzucWYytubhLWwjjOdE0kBtVJxmJpXKKpM1VlqXxB8JQCu4NFjKVp4It3QusTp/tMDpkYhMeTxVSOmzeGm4OwaxPOqsb9ctTJTHWtelYjmUKmk0jTN/S94zrvqeqM8R3tUJOmE/P5xK5pOR4LjfO0twfsmxv6HmoTmceCrwxVWViuEW+VzY5TZGgthY7WK+B2VrBWoGQqE5nPE8U4apepakNOsob3Fopxqi8tV2LRSVVGCvM1YYZe80zjhZQXDruW1iyIa7l8/Q1zhnQ+04SFdt+zNA2uApssTS748yPhPOqFoBRcDti+VVNSAZMXbI6Y4yPStpQlU6yn/vmX8PCAM4UyLcg4IUWQtqPygmkbSr8jnE9MBbrTBe8teMtchKYU2jmoe38bP5oz0usAAo6PPIUF//KXWO+xTYM4j5lGZBhgWTSTeFsY+h7uVm+v18fpQmOVOe26Z9D5FG7MR3Egpqk/nhTl/XPo8gZIt/s+1ai+qGvTqTb1tV7rx9R3fJ7+pOsnBVB/K+oVkP5a9dFbsf7nj3up6j0yH3Hmvw443X6/BKcbU6qTnb7t3N+AqzErgFyNV7mYp+EuT6SGFCSJgoK1hZ8SlFSepAAigFVHPeg2w1L0y7W8OL6SMQI5KlM4TRoiv2k0N2D8eNTQfClCWCOt2kYwohObBMM4GUKAqjYMu4rrOFE1hnF2hFK4jGCNo22VMc1ZnfXLrJKFcarw1R5jGpomMV0LbReZlyvWGE6nkZIb5mVH3+oC93i2zMHgvXA8wvtfRA4HuH/QeKslwN0bnULV9Q3ZVDT1N4TQrq3WgaFZyHGmHSx3XxrNRp0id4dIzvD+3rA/ZGp/4nyaydnQNDNChDIQgiUEEMmk8J73xz+iGyq62pOix7hvuL3taOovMbmwa4WYZpLUEBOVDfjqihFP1WRK6vDU7G7cKhsUvnwn1DZxvs+UJCxL4uGUKZK5uanYD47drlIginB8KBAMVVUjZSQncHlhqD3DvqUfVPZxcxgYpUEI5OnIdDqya3c4Wmor5M5Qdo3GatrIdFUhQyOR+bQ8YZc4rZOaKg9i8K3TSVRRta1WIuk6I8birQ4vSMUq6JRMMhVME4O5YiuHN9puWMZEbnpsipi0YGSh8tDKDM4jD0e8FMo04UtmQVvuh84SjUfSlWqJxPdHTMna0XaCq1cnvRRlN42By0XlNyKkZsC9faPHlwIuTMRp0db+7Z3KO/cD9vaApEhyFvnlN8ps3uyw0wVbV8SY6PIKENtWzVGVR0KAvqMkvZDkdEJaZXPtrqf4CvPmzfMVa9dphmldY/Y7be+3jW6363QbKT8bpDYZgchq1FrF53X9vJhsUoBtWsjL0aifa+3/jn5nvNaf3noFqD+0fszJ/wpIP1tSvv2+fNfL3gCgfJtY/U5w+rnfn2pMt/s+AqdJ77AvjE4vfQkbcNX7n3e+GWq2KU5k3aixCqhD0G3kWJ5AbxZLMQbcarBKCkrDqjstWVnbtJTVXKUyhiKGsBgyypZez9rmW4KagmLQ15ASNFWhcgUwKksQnYpUxOgEJAtJOna3wvE4EYJhnARnW0RqLmfV2M6TRipNs3mSwjWNh2JJ2fDm7cjxONHUvc60d8Ljw5Xbu4aSK50ONUPbCo/vE8ejxkPNywqAi+H2VllUnMN4R+cqrtcd1nqc8xz2FeMSOOwSb98ZckjEOfL2tiWmzIf7yM0+qNv+siBlz/6gbGRcRpzz5NyTJRPilePlG7w70fgbUvZ0XUXdjJQEdSc4L2QcqbRYLMOww/kWawtNbTHU2K5jf6vgo7KZn71NeCNcHpU1jbnwzeNMIXJzgN0wUrcNzu8wYjm+j6QoOF8xVD0lWXwZaXc7hqFiNyg72w0W2p5dGJGYOWYY2g5vOhpv8buWaBPeZ7o6Mx8jFqGvIsslYZ2hIiLrgIiq82RbUZeAr0CWiPUWG2dMWBAxGGfxNumF3PqhLcZSrhODGRHvEeew1jA/BnI74HLElkjjMxSHLCek7kjHq0Y4nR6xVLTOIm9uWSpDNhZJgapY7PsHSkgYBOeEShK4DhsXlcZYh78ckWlCqhrJaL7q3Q3yzddUeSEteZ0Y1ejjO4+tPWWJ2uoPa3apEZgninOUmHBL0LWg6/S0LkUzUK3FXC+UIhRXQb4iWbD7FvoeM81If9BpVkYoIeh4MVBgvS0muvAhqTzrWr1X8FrXOq51N6ymqfKsM9pa9y8Xu1KeAetmntqumr8rwuS1Xuu3uF4B6m+yfgww/dOymKzvyQ9167903n9Wc/o94PTT/38fOLVGgeBGnpjPgNMNLOoYSTXBaNySbiMuRR9jFZRizJNUYDMxiTyDUh37ru4t7zRLU4wlRWVNJRW8U/DmKzU8pWxIRVutMWrrfpoVsC5XBbYpKvhfZmHoyrNTvygIPJ0U6PraUjWGabHsd8I4DhhTMU2JuvaUVCFFj8dYjWCKyTzlvursd30Pbm/h/kOkJFgSzKOQxTLsHNdrZpl1clXjM3/0/ypgr2qe2N6ug7qyLMliXcFZdTpdpwZrG7xpGFo1ZL29a9kPgTidyFnY7Vrm4Hl8OLPfTUiB0/lMEcPdocPgiEn/HuOUsSKM48Q4jXRVg606zf2sF/rWsETVlDoPOTuWOVNK5ubQUbuWuu1pGx18YGs1RHmr7vKff6FXKJfjOrHLOj6cErkEvvii582N0HWFnCdyrLgc/dMEMu8KhMLgLa6+oeuUTMtiGO4aChaXA04yRTy33Y7T+ULdVvjbHc4XJEZ2VWY6J0xKdE1mPkVs5XAlKiMv4PuaWBwVEd/XuDBhW6ct8ZxJQcjG6bjWECDOOOdwpqIsmcHOuNqRcWAc+TQi/YBLEQkBR0RKpo0LftczPj7CtCAPD1Suxhehvtvh9gPdMrEkocoFdzwhMeNaRw4Zb5IymElPxG3EqJzOSNOSE0RbUX35Fvt4jxPNYy2XkWwrSr/T5Ka2xr59Q3k8gTVUj0eaUpj6FhcX8A0dQpMsJoO0Hab2mEYHArAb4HTUi+oYkaZVaUblkKLSAWlbnWKFRVjBaNPoyVGKgs6U9KTdqOys5rynhaSq1Fw1L+r239jTjVHdtgPPOqTPjTj9ibRkX+u1fpP1ClB/k/Wyl/y5+/401Gde//eC00/el0+B5KfPeWk8+ty2vw+cbrmp2zY+nQ6V0sqwyHMs1KepLhsozcV8axKVpZDj6uZHg7jnoKA1RVmB6DqWdBF17wdta+b0PDa0qvWFhnVbiBCzJWYFfd4L86TspOo0CyEabg4qJ1gWfVEhqn4042gGq8kBUUeYThPMs+d6cRz2ypTGoBpR5+B4rzmqJStz7L15+q50Vh8/zw4pheMZjLF0vU6DWmZF/t5obql16wjxNRR/OCgzlGIhh6xSO4TzCQ6Dw7qKw2HkfLG8vSvU5oAk/ZJu2poSPcs4cbMbMW6gFIskoW2/wdqeZe4R0Vn3Fh29mlJi6A2+HpimK9aONFUghpnd0OOrPSFcibMgxrDvK5xvqLwC81A8rhbaDhqfsTnxe1/pFc3lLITsyNbz+AgpJt7cwrs3ha5fLxRi5P44UfkDhoK3Ba4T7eCwzj2B04Klf9squ5cmvC3koNpYkqXeH8g1WJmQJXIYKlKsqMtCX2u+q7EGl7UtLsZiK6tg14oavcKsAx0eL7jaqbGobjB54TqdyUmlAXnOmOx403qqxpKKxTUeM14p3YAsEZOCgl6T8Y5dtu8AACAASURBVNOZ9rYjXi4QBBknjG9ocqY+7Ci7A40Xiulp5xl5nFkWZQtLAV8Crq/1nHrZnnh8RJxXd363w33xJS5MmJzw84V0mfUcPRwwueCGFjt0OomqaSgPR7y13PQt0UDxHl+Eao64lJURFb3gkLrR7vvpqN0NDMwzIgasYG4GinWaybrFdvQ9nC8aa3XYq161eZYo4BykNTKq6xSA971qSpflWc+zLM8LzUs3/0vh+0tQul2tv7Kor/U7Wq8A9e9n/WlZLL6HOf4sOLWff19+0+C0lGfz1ctklpfb3zSlaQWIrDPuN8KjFHXgI7KOI9U2/5MmVQqs2yvWkgXEGgwQFjU6pSJPutO60olFkp9vC9FQ1QosfWMpAiUKIVoFt9kwjfI0IfF8LMyTrMH/hpiMjuB227hRHdE5ToB3NG6Nr1qZ0HllN8er0NRwvShTOs26/ft7NVU5b56/D0WewHtOqie1ruXDY8K4CWvgeJ+4nBqapmKOKivoOg36x+hY1Lq36gYvOjGp8gqAlzFzs4Oq8gy7Pctc8fN3C1I8dV0jpqapCuM5K1BuMmI9pkAKmcO+ppiG0/mMybK+lpYYPCEZ9vuKIhNSOmp7YLc/knKi393St+8ouSeFhKyaUWeh8RPFwnmuaFtD4w01kQrhZ19mSlT5QzQVscDprCz7F+8ch1uh6UBSghI1n7YUYrliy4gUGPYtxhr6TmgqobiG4bYijws1QZ3hQTWlKRrc7sC+MZi6IGFiV1tKqqhNpK8i01U/U52POhNejH6ejMNI0XGfSace2ekKK+grvsaXSJKFOM8MbU0OBWscMZ+xtqWYAd86zHhlafaUccbmiJdIZTNuPNPctMg0Y68zNySyrzBE6Ae4ucGREVdjlpH8zQfSFNfRFQZXItWuQYxGs8k0IctCNZ0oJSPGKIPa7agcmOuMXSZIibJExFg1HHqLrRy2rSmisWFyua5+IkdDwTTqtJdxBNRQZb3VyIlxhJsDHB+VfU5ZtakxYmunGtPLFRneQQhYyZTrVac4iazufvu8CFWVrh9GlCH1Xl9zCMq2brU5MFPSbYVFT7xNEvBywdp+b/t4Baev9TtarwD1N11/GhaJHyhl+NR1/8k/P/vYl6zn59bi7zqEj8BpeQ7Pl+8Ap2ZVtuasE5bsi9Gl1uoM+pKeH5+SeZIAUIq2+wAx2m43bjVLJcE7BZBPMVKrxtUbZVhjWHWlaPveVoaURTMeV1Z2nHX0aE4rC5oVDJ8fC/OiwHGa9Q3qh2eWMuNYotV2M1A7+YgFzknU7T8qUzvNME5K5pSiwPV8Sni3EFNmNzhKqalr/+REPl/0mN9/oxpNiZbHx8S89DRNTQjq4u97nWSFc1yuOnI0LHntVApdp5Oflkm/k31l2PeZ8SL83u81pNyqkzwWKiIfvoZhZ6haS8melEaMcQyDoxQLqcVIR4ieyjlCqCmm5u5NIUtDmSuqdqLtPdgbmu6Wrq6JwSA541zNfl9hbcTWM5FIWKBtJqQ0NK6h8YafvRNKFs6jo2CZF8PlVADh3Z3wxc8qcq4J4wlvhfPFUJKhpEAtD2Tjca0QU2Z/2NE0DvqBfZ+JpyuVK5g1WskAyTWw6/C1RlhJNgy3OkHKSKRxmSVY0hwZBv1cRnE0g0dywVpDZVlF01HFxbUnB41B8pWhMobxMepFWi7gLG5ZcD6RpWBrD5cLS7MnTwGbIlYS3mbsdKU+tLAsxPOMD4vqQWPG9j3u3RtMyfimVkD84QEJkZKKXjgV8G2Fra2CuWnEVB4zXtSZXzdkHLHqcV++xZ4fYBzxBGV/jUX2B2xKuNsb7K5T7WldwdcfIGfs7V5fu/dISshZAbrpezUi+grTd8i4sqcFxFdwmXSyVF1h9x3Feux+h6wsZtnf8DSKre9ht9MIqb57ipYSzHNmqfcKhJtGQWpVPbf1V6bUeAf17nlxe9m+38L7Nw3qpzrV13qt36F6Baiv9cPqRxq/PnXdw68HTr/vULa4JwWnfDc4XfV4yuCaJ0f91jErScdVWvNsnN1AaQrlab/WgnFrNiJgipqdctBjmCfN3LRW2ddVnoqguaTGb7FUqvUsWfWbxujruF7kyeR7PesYzZhUEzqtLfhxMpr13YL1lhANxVnmqzBNQlU9fx86u86ZD2soflRAuzn1UyhMk1m7qYmqvpDTRN8ZrtdC37WkfKCuvc6UF+F8LLQ+IxGOp4EQlS09ngz393pc3zx6RGA+F25vCtOkjGkRQ+MzMYAY/V6vfaFyQpiFP/NnDUvQP2ZZEtbA1x8shxtD0yjILcnhqwbnFkpSQ1hKO9LSU/mKEMAY4fYgSMyQDV3Ts79tyDlTVwXnA8ucSSGAjXRdjXUDzSDMcwDpOAzgTcRypjKZn33RgbGM0TNHQwzC+aQt+zdvLV9+CbUREjVNCx/uIw4PcaRyE97vqGuDoegQgm6AtuemCyynQO2VMRXRz1TpBmga6lpd+pIK/WBIlwUnGe8yqVjilDTyKhcCNU3vybO6yuuyYKzFpQUTA76xxJARMSs4TaQlUzUVy3whraG5TZeJxeH7HrtMLO2ePAZsmLGSqWzChEU1rTlQlgUfJ2ReyEumDB1xaMjnI92uIV0C1fkMlwtx0QuunFfXflvDPGERBW/Ho05pqirVf/sK8/OvcKd7JCW8Fcp1USB5uKHEQrXvMU2NK5HcdeTHExKiYric1KEfFl2X1i6OOI/d9ap5v1zVsPThijQtZY66/3FWc1TXYVKG/U4d+SvjKY3GYZm+0yuttn5aj8gFsE/6UtPUH7GrZuiVJbUvFqK6/nZbfxMuv2zrbxFTrwD1tX5H6xWgvtbn69dIIvjBhih+DXD6ifnqo7b+Bk7TNoaS1eS0mpnQ9b6UZ/e9YJ5iCbfWu+Ty5NQXeQalYpSBlVyeMktjMqsMQNvj1oAOqTFPoHhelHbdpAeprJmlYrBmNUFlnkL9x4tq4JagrfvrqMd41aE1uNqB0ylQReB0lKeoxLpW3av1qi29XBXgiigTvCzKEi+zRlctyyaBWyh5Yug6xtHw5q3h8ThiTORy8dQ+8+FDoa6VPX5QMou2Mzwe1QBV9zrBKQdtxw+dsMxKHFnJVE5lCzEK+6HQNUIMEVtH3n2ROZ8tVrzOpMfyy68Nd7eFtiksUyEVq2ASIaQKKZEYHDE2GAun84h3kX1vyLElB0O3s+z3GsjfNYKxI3GJpLSjqQtVA65e6PYFQcemNi5TUbCSaZvCF18Vsq2YZwXiKcH5KPQ93BwMP/uy0JjIMglN63h8aPHFkMczxl+IOVE3DcZ4djuL2Q0khLfuynwSGhux68WWGEc57LHO4K0eR5om6nrh/M2CzULfOsR6wnlh2BkwjiAV7eAoqWCbiqrM6swPSsM7K8SkMgtbWXxeKLKa4OZEbRznxzO7PrMkS9X1uHEh7G4opyu+JGWbTUbGiWrnqQmU60Q6jbi0UEIi9x1T5ZgvV5qhZjmeaebIcDxSsmqXJSYqItWbHTYFcBYJETOO2IcPmMpTciE3A+nNF1Rh1IlRYdRYqawsp2BwfYNtKtyuI8+LAtHzWUHhYa+6ltqr6WmakJQxQ68mrKhOegE4n/XcD1GjpeoGdxgwnYJGs7r8mY7YFFTH3g8kEZJ3pBioLNRA5dw6vi3oG9y2ujZtZqgQ4N1bZVrr1UG4tV2a5mO96ach/Nti9bLF/1qv9TtWrwD1tZ7rx4LSH7go/hBw+tKwtP3+Fjj9JKbquzSnsrnxrXla1+UlcI0KLFVzum1Af+VYnoByKZoFiVNNacmCs9p2LSGre3fVl+aQMWZt369sqfUKYoyzjLMecEF1peNkqCs9Vu+Ucc1JM0tjUtBojP4OUTNDjYFxcRzemCeDsF0jqs5n/X9dqTY1zMpoxnUs6eWi33nXi4LYlA1zSBxPkcs5IuIRqWmbSMqWmB1vv9AIq2Ux2DxhbcWHR0PXq172fFag1vfw/t4Ss7qZw5S5npUZ69r1Ozdn5iVR14FSEhRL4zxd40kxUTdX3t6OXE+GnAtd61lyy9d/lPnqK0/tPONYk5Jl32eMsZRcYcUjZo0IInG5XDAy0g2OEBKFhf2+om0Tj/eR2zsPxXNdMjkY9ruCrbXNXbeJkhOSwJZA0xicgV2f2d0astTkaHh8KISgGt5hMOyHwrtDpEZYFkPlhccPhTxemcOV+v9n702z49iyLL3vdtZ5B4BkRGTNQpPQsPRDw9IkNAepVJXx+IjGG2tud/TjmDnAl5mRUZWVlRGvcNfCAkm4m5s7YWbb9tlNnyi5spQbTbYcvzwSDg3pdubhaFhGZZSVcSvUbkDaDosah7xUSiqY+sb5ZcaUTNsb5slgSs/x4KBR1rjbewWnVkP7qQWfJ41aKmsMU85YIzSuIFFbj1gWnIBfDH88NeDBdT1NSrgvT6QfZ2xVvWcI4ONEODQ0ddLmpuuEL4s6+vc9i3csaWHftwQplFy4/vILEoXWtThTEYs2QeWIiChYjAvmWZuPaq6Upqfsjtihw55/KGO7NkYxzdQvf9R9Ou2x+07jsrynfP+hDV2djtBtG5SRTUnTONpGjY0PJ/AOuVw1v/T8ShGDhAasRaYZjjvMbtAb2u3AM4b69BWen8k5c93tWFpNCJiCpwMOBpxZR/d9D02DpAw+68G4jnikVCjLz8H9H3VNpbw7+rcT30dwurGon+tz/c7WJ0D9X3n9G1jSv3aTfy1z+vGxP4HT3zClv33+R80pRllSzQ79MLqvOk6UD+57jY5at1V0tL9pTrGWWg2pohdOVHPoKCD27uKnljsRYq2CQVn3wXlDTrIannTf6sqUTuOal76C5RwVPecES1SmcwvlXxYQo+arbByPT7JWper1bJrgctb3H5wajpzXZIG0VpReLpqNersalllrRa1N/PLLlXma189bsH4gZYsP0LbC+VVY5ozExBgHjDG0rZJRl6vmvDa945dng6WyjOrI//GrqGckFyQJeTEMu8I8XbmOI73TzNSnrz0x7jkME21/o5SB4A1NW6jlF95+CXz90lMKjLklzcLT1waphlqqmtXErNJK4XYesX5kP3SAQ2xm13/HOcPbWRi6mTkO1NQiAv3eICHQtELXVlLKlBy0ZSl4qDf6vWP/ZCm5x5aG82thuin7PewMj4fMty+VtlEgHwJcngtljGQKoUtYMzD0hVYsDAvVjKTzjceDRxah6zSoyDhL3Z+Q9XfZ14gnQ4XGXLjcRrqmI3SGuCz8+e3Gt4dCso9I9YRGqX9TC96hIfbLhDQNriooKrNGmzUyQ1K9o0szNS7kMXE4NvSNI9lWs3/3O+LzWfWkpRBaS8gTft/S5BGZZ5UbxAVTErnb4YaOmmecdwRbqanCyysmJrJpGCjItOCPAy7ocWRSXJshbpi8dtO7AP0Onp5wr79i5gmXF5hnHe1/+yNSwO567K7H1UhtOh0xpKS/112r2/ZegWjKCgD7HtM0qj9teyQl1jBfPSf88gOaBtup6QrR0gsZDnC9qoHtckG6nggszjIcDrihQ2plmkZaqXSh1W1u4/h2Hd/HdZ82B3/b6sH6Mai/+SAHgJ+BqMg/zUL9XJ/rd7Y+Aer/SuvfAZD+pc3/a0/9F8f6v6k9/YuaU1GQsuldf2Jiq4bgmzXGplYFpc69j9FhdetjkVWXltNaT1r1Yl/RiCbBQC53faqIglLr1UlfUH1m08C8gKiijlo1Ysp7BXfeViSt4/tZmdKclFUtBaxT5jIWhw2WZRKKwH6nGlplV9XQNE9rzqU3hGDuxEpKMN2qygK84XKBad7MwcL3Xxam20Ro91hrNAO0jgxdT02e6XbmdtXs0rdLz/HQUKqG7L++ggmeJPD2ovrLeVbG9PnZ8HAod9PVFC1DV0nTyJze2Dee0MPpYJmvr3x5MvhQECylao3osizMy8LDw4C1AzVnbvPMl0dPSf5eXJAS+v5zYY6Wpsm4oFFINVUeDgspL+Tcsust1jySlpnQNvi2EoIjuCttozWgRgKdtzhj2e0P7E89u30hJY/3Da8vlttN8+t3Q+XLMXE4QNMY5klofOXtv86qq2wdIgURR9Nawq6lGQbK/CsmJb497pFsaRuPkwzDQA2t/i5LxqaFpqnIktm1met11nYkkxivZ25zwYTEJU2UceDpZDGhg3mm6RwhT9S4BvGbwqa5BggSccFSCjR1oUwzORuaY0cXCpkG74G2Y/nljZKqAjln8GXG9Q0hXjFpIY8LLqrLLnU7TNdiG0+wDSXeyGPGvL5SppkonsZaDdtvA9EWZoQwjwQsTYrY+QaHvd542Ib88A3/9qxguWZ8HEm2QQZLtV4ju/Ydtm+ps8oG6usZmRf8w17Jxq5V0Hu96sHVdXoeaAPsdsjthuk7zNtMLMKUKsmAK4XOGsLTg56jckKcU51pzfDyBrtAFsEeD2vzmaY1GGvJIYBbQWQp2KFDjL2bm8xuWJlRuZuoTNe+A9QtZuq3J9IQfo40+Xjy/Fyf63e0PgHq73n9OwPSv/RSf2kzH4Hp3VG/San+pe2uf7hnj1rzkzQAWM0y3IOwq3AHp5um1Fq9tmAUWBqrP982ljOkWS8QBjX0WMp9v3JhZWnfQWlettQAIbSWlBWUGqMj/BghuMp0VTa2GL2STWtmZSkaoygCqTpitkxJ3fdbq9Nup9ekaVRgHhdlYq0zOPvuq0hJW6XGEcYbYGC+qg61ZKGWxOtL5O38StNmhErTuDWHMlNjJjR7bmOD95nzm2cYtNN+jpbnV0vXVC5vhWkCZ4TbVT+b8VJ4OL4nApQs9D4TJ1iYGJqF0C20pnA7C1+/CMbtcK4lxoojM42GJS60naEWiyilzXEv6Oxd5QXLrMA0xUqOE74R+l0lLRFJDfsBhIixhr6zILAkD8HT9oJ3njY4Ou8wOePFE5zXdqej4/ERdruGy0WlHdeLjvRzgn0TedoLx6OhayrLBL5Ezs8FcR7vBWcFYxwZCMeW1i3IdKPEia+PO6Q4usYqg7g76eeFw6RFNa+9oY4L+6EiMeOcx8UrJUZuY2I47SjVY90B5xZSaWjKQnCCixM1Z4LTFiakallEzDjJejMyRULniJeIVItvLW1vkVTwvTJ78z++KFaSgnVq0jJY3HjB1Zl6mzDTgqRE7Vdw2gZqqfSSyUtmef4VmWaNUitCGyzVCElmEmDGhVmgvV2w443QtEjM1LZH/vBH7O2Ko2CuF2yaKaGjXmdk2FNTITzuMY8n7HylhlblAaWog39tvDLraETMOnoYBszqIjRSEe/hciF7z2WK3F5fMY1GXlVv8CnhStX4qUXr4ap1ynoag398ZOp7TQmoLZrnAL5WMFUP3sNhNUZ9uORuY/6uew/k3/5tA6Hev+etbuzqdlLcGNRt/Van+rk+19/5+gSov6f13wNI4d985/3fBU43R/1fqzk1WzD++9RLlJ58B5jGrNsw923WXO/MkfWalYhTsxGiOaWIGp6KWFKUtaaw3A1Xm6W+VENdR/gpyWoqUl2pWad4JSuIEVF3fCnKqCzpfd9EdJS/GbZuswMH46Sh8tOkoPRyUemas5uuVkf402w4n/U9hEavW9RKigrezudV9ykKaEEB7W0sTPPI6+uMC4UYzwydYboOHI+WW4QSAyl7gve8jYamBbGO57Phdql0beH8psylMWsEVlTGdLc3jKPQhkrOib5ZuE0LIOzDD4x5JvANY3f88evCbf6OTx5THwnW8uvzxPHB0rtESoGmbUAqxiVKnagJ8mKJk6cbGt7OkWpnul3EI8xThpLojxcwHmMzQ6uRT0suOFvpeqBACInWNtjSkFJD00DTW4a95fFRMcP1IqRFDXC3G5Qlc9oLpyOcTvqYeCuYGLmMhorDotpmHwzSHgg+QH7mcnkhxiv7wfB6zjz0ieH0J+h2VDHUkjFpxkilC5l6y+xbrSkVgZaK7Vr+/PyCNJXqKqZ4DoOj1kKaJoauw0+juv5doRiPKZlSIS2J4AXfWB2VO0N6G1X/GALtzmPnGzLskFxYnm+U1ahuSiUYnUY08UJjInK9UWc1GMluj21bTBO0iKImfK3szxfmDMk2eAvD3mq2KolIpZsytu3g/Mp0PtM1nhAjcjghp0fSNFPSxDzfaHKknydIghwfECwuWB3vzyPFt5hloUwRsQ7XemScsL3+DjHPejDvdpCSOve9R6YZM/SY6cY8RaZaGayDKpjWEw890TuGrkOcB1lUi3tdkMMR0P+b5Dzj0GFWIXpnLb7peB/ZrAB5Mz7FVVSes7r+l2WN3Phgftoeu53wtlipzeEPnw1Sn+t3vT4B6t/7+p/Ikv41L/8vblrknzKnf0lzyjtLCu/ufGPW8XzVkfudQd3Aaa33bdeqNaNYZRr1sYIz6twvSSNcNKjfUNKKZNfrgXWr898pOC0rqE5JiFlBqepbZTVRrcze6u7HGGpRFtdsIHdLCEDfzHVyVJGVQZW7DO5ygYfTKjPQCeEdKG2B+22jr5uiEjPTpFPMWpSRTnGtUDWWcTaM88I0zjTtwBAcyVVut2e+fcuMc0cpHdASrOHXZ0M7OETg/FJ5ea7sdvD2KtpgtRTyGlTftAZrhfma8U5YpoxwY4k3Kjc6M+LDgnUR6195fGgY5wXJEd9NWNfxX//R8w9/0i7znJ+wEnF2oUgl5pu+n8lhXAXxvDwfwQu7fqbWAUEYWmG3y1Q6DvtAqR3VCtN1oUimbV6RxdEMBpM7sJZShX7nCJ3jeISnR8FSGS/CEi0xGi5vlTotnE6G04Ph8UF/h/LrRE6GVB15JcCsEbq95nv1bcUXYcqFKd142DmgwTeWqRfakumto47aOe+8oZMFUmXnI4JDcsZRCH1DnRxPT4ZbvOJrS3ca8HVhykJvhVBm8J7GZnJRUFSrocyJ4IQQVtMP3HNKsZbdKeDmG3XYaz7pVes7gy9ILjij0VfN/KbGvvONMkVcTXA6UFyDaRssFVMjvmrWqS3C0DTEqWCCHq82OCTPmCK4rkWuV8zLC94LpRakH6jDnsn3zNfv5MsrNkdKWRhjxh8fKEvChobd1xPGWZyzFBHVnswz9njAGMGddnpQTNPa7CY/GZZMLXf2lBBIi+ajmt2w4kqVB8VpYTi196gnefgCf/5F/344EP7hHzhYSwo67g9tS+McdjNIGfMeL/WRDRWtxr1Himzf+17PQ6UoaN1E7h8NU9uJ8zNm6nP9jtcnQP17W//BgPTj+ld35cMD/kVwuqWJCvcT7fbzn8CpVDUprAzkT+C0Vt3etm1nqWLIm8nVaKYkIitzuobnG60aLYV7PNMGjM120l9d8rXKva0mFe7AUerGcArTWLHOrNmraiLyYf27VRNNRd3uOSsDa61wuayj+aT7Nd2Epy8a1F+tJgEkTb3R9yeV4M19wieiwPR6FdpWTVPTYklJmbzv3xWsLtNCzYW+LRgb8P7A1y+VaQqUesKYhiU1XCbLsKssc1Ht6igMPfz6Xce941Wvr+Os+tKSCsEItoVqHJUZk2+UYhi8cDx9IcsbVM/Xr555LHjnMO6BEL7w43vDt28TSEvJAzkbnr5k5mnBmQu5WEI4UY0jJcNSZqxdOB4rcVGZQeMrj18c49iyGwJN/0hKcLkVGj/z0AUkD/QHoQstKQWsDTQ7R9Madjv4wzdNUrjeDHGBnCqvv1YaVzh98+yHytNDxZWIlEoiMEVhmYXDUcFC/6jj2i5kWlmw1rBQOAyBPuwJxx1hH7jcXpnnicbOWvwghQ79Rex3FlMMNRecNwTvWIqnPXY0tJiLpxIhXRmT0BrY9yr1sMGo6c47TIrkKeM9hNZSl4QtGVuS/g6awOlLwOWF0u8hJeocKaniTNWChNYSTCVMV5rWwPOLHo8pwulAcsostlYgarNUeX6DXDDeMY8VrMNYbXkKEqnBM1mL3C7YtxcqgmCxbU89PiBfvpL/3/9MziO9dYQYqd7yX1xDKJXWO2g9JhhaD6V4zOWNklRiYb1DRJCUMX0POWOmNdbCGG2NCgGZsrKny0SdE66K6mOXiN31SNcg3mlc1H4P54seb69vOrIvWnMqGAJCaBqIEdM0elrKKxBtGox3mgyw6ktNuzZETfM7c7qB0f0a0m+MHvje6/ftnLSxrBuT+pFp/Vyf63e0PgHq3/r6GwKkH9c/t1u/NTd9fOzHr+3JdyD4m8duLCkoG/jed2/u29j0prC+XasZpcboc0pR161FqCsx6qzuX0n1Pl3bmEnrV1mAtVir0VGIBuiLQXVlRe512ZqDKpiiIfFxUcZ1q0ydNWNcgW9wjItFkLV+W+4TvutVTVlSYZlUy/rwaNZIRAWhy6KZqCWbeyFN261ygqzTy9tVP9Nff1hyNsyLxlj943+p5KWsn5/Ta+FaRINxTEtPLkdcc1QiySkgu13fI6lKqrw9q7zgcjW0jfD8VnnaqTnKOZiiI7hKKZHMhMViyRwfHSVB23h2g5BTpZSCwdJ2e15+tXz7ur7fXMjJ8PQoLLOndTAuyipNYwBnyLN2prchIcUjpdDsYL+zXK+Fbm/xXatRXWOlNULXBqzs6QbRqtli6XeW0Git5m4H/+lPlWkUlmiIi5DHyMuz4CxovXrlcRcp14QbPLdJtcYxFbp9YnKe3b4lTyO7IDSlYCl4D0MvvNwc3R9Odya/zIncFBjApoWuFVgS/WAwReOcXOMIrWWJWllqpVDwHNoGjGW+TvQ5sn/a4UvV6tJUNDYqRdJSCY2mAdTFYqOC4eIaypI4fdEK1NztsfOILFFBXS2qRe4cwVT8eCb4ijy/kLPBFQVRudsrKLZCWTKdSdSXV63/NIY4FaRq+oUJLb4uCriXSj9dmV6eMfOMPQy0xhJ2e+Txifrn7wgqnfBxwe57rueJ2AS6VNg9nbD7jiUnlm5HN94o1wnxAdt3mJxwuw6uM1zO1KbDDr2ylV0HwSl7Ogzw8qxM5qd9FgAAIABJREFUZmgIL2e6JnAT8FKxwdMaS9sEzUUNAdM1yPcfSD8ABdu3GvC7G/RGudGDXnxQzXTTvGeabqanUlZdDu9aU2tVWrSN8Dct6scoqY/RUpsEYDsBfoLTz/U7XJ8A9W9t/Y0C0o/rt8alv7QLH/WmsrKkG+D8J5rTouBja2jaDFHbz+7gtHI/Od9/XgVDpRYFVBgFc7WoMckaga2q1Bhy0YD8XMEGe9e7OiN3WUDJCnQ3Des8VnXzV9UZxqxM6bIo87oxpeOo8UupWvDC9aYGKgWnawNi1b748SZr+L5+IIfjql/NGqQ/3tSB7+z7tWwYIEa516mOs6VUZWy32CtTMm9n0Wtkq5+RDw1z7CgyQrZUY0hlT9d1/PpdI6JylJWt1RrS69vaOFWVmfOm8PomPA6qo/WN4TxVBiJSoGAJNLTtzHFvWebM06PDNwbDgWVcGHrLNFZu504Z1blgHEh2PD1pxqzDMI3CtDiyWEypa8Zs4bCvmGoppeVw6mnbkSl59kfB2Y55CjQ20Vp1n3de8LZigyOKpxtWEsoZ9kPly2Pix3NmHiMUQ46eeXJYZzgehIdDobcLcbLsDl4TFiIsywT9yEvODBiu3zMP+x7nAt4G3Gpuy+mBXW+IaYJZM0FNdbTWYeeRzmdMNbStYGq9N5qFzuln3KvTPxVLkBnfBfIlc/KeZt9AFY1C2uQttZKmjGscLk0U6/F5BqlUH8jFsDtofFJ1AfP2pkaqpWi+aIz4PuDJ+MtFi44uZ6oINiekbamHB2VRjaUuWTNQzy9I1v2vuVLFEEyitj0+T1hvkJgIcWF/vdEsEU57rPGEpsU+PpG+v+CcoVlmUoz4upCvmdS11Fpx3YA9DNhpxO9b0vVG//aqzOUwaPFG2yLzgskKEE2KSN+DiLKnXYdME4asWA+jUoZhx34caboO+kAIgbBE/O4BOV/0JniJmqEaIzw+wtPT++hds+buN8t3k5Mxqj+t9Z31XNnWe9SUXdumNhnAxpRu6+Pjtq/t759RU5/rd7o+Aep/9Po7AKQf12/D8uFf2J1Nc7oO8QVYZZfvj/8QPL2xnyIfwKnUOyMrolrKKsAasG+Q9yipzalc9HUdhRI/TL+sxhJt33NVNsI6fQnr127tKojIveK05kpJGhNlV02s88qQGqtAt67XJ+Md02JwrV6nRIRpep/QLbPu23h9j4uyznC5Kvjcrk8KqnWkf72tTYgWmkbBbE5aWzrOlhg1dH+Z9bOIY71HVl0uhq77oKetgcP+QJIdMWbyYvE28PLs8E4oGW63zC//dWJ/yLyePSU3xFkrNJe15OZ0cMRFICemVOhZyBQygZ0P6pBvAjleeDgJKb9Sc4NxLfvdE68vDX0/48LCEgvOLZRqcPYHby9nDruG23ggZ3XWLzdPXG60nWXoCtYO5NTy+ORwzYEiPfuuEKxlujmsCLadqSXStgkXGorpwDj2u7XS1mrA/umx8OP5RpxH4lxJs1BpcTLw9GA5NjPHVhniroPrubJEQ64Vc4jcxjOtc8ic6QZPrWeEI2TD8MeB7FtOPtMswvV6peSCZMvetQzO07JgjKNxBVsS1WhpgG8bluzwXsftKSnY804ob1ectzRO2TRndIwuMWFLIifBNZ5QNOM21IWaVLicxdExEvaD3hCen7XYIRnSVLApEYaAd4I9v+EasONITUUlAkNHPZwwS9Q4ryXh84K7vlJz1RvJomkYNkdKP+CWEddZjXqKEbmNNNNI8/iAs0LxLfnpD9R5wSC4eaQpmZojt5pJuwO5ZoLxtKc91llMYykx424jJRbEOnyrYNBJhrbBxJka11D8ZcGcjrDbYcabsqc/fr1nHsvlFZoWt9uzM4LfDfexu+QCXadSoV9+hS9fNK4KkKzxUT+FE1sLS9I7SWOwBzWe3e+wP4T939nQbcwvovsL+l31Re8SgO3P2yjlkz39XL/j9QlQ/2evvzNA+lsd6W/Xb81N93807+P47UfGrKBz7aC/b/cOTrm78u/bXdkIkdX8A+/h1ttzZA3gz+Vumt3Y1210n8WC05ioXPS5xqmm1Jr3nZRVAlCy6hFzWWOqMLACvZQVlEpWzWUxFuNlI0/uuHsz5pYs3C66/esVqmysq/ozjkcFTQbDllc+TcrEeid4pw1RpUBoLOeb4TYarVhNEMekPgpniEmD/pdF60e3BsWC4+GL4Xq2GouVW6Qou+ucspY/ftUmpqZfOJ/hdq0YafB2x3X2NI0yzfGqUTtJCp4riURFGNzEbmhwbo81e758a1mmkeAE7y1NaPj+veXbN49IIMaGnBeCvWHtSFwKtrF8fw2YWmjdXtuj4o7Hh4CxhZwd5IYvf+qUjLKG3gfNQr1VbC70/UxJV9pd0rxWJmqptKEnJ0/fwfEEh4Ph/LZQ4o2ytORkyalQZeTxUPiy7+j3npSEvtf0hCUZatvR9onryxu9gc552gaqTFAtrhH2/+kBAdrOYjMap9UFYhlxFjpn6FuLQ2h8wVsFdWHvNS+3NniXcI1WmTa9w5dMvc7YoEaoajwNGdnAqahxjVppiFDWcX0VTPBECbQm0jztNRx/vGEszLNRkxaF2lhyuhHPV3qT6WKBvILTXU85HZjOV2pwhCXR1kKYL6r/XI/fmFSmwH6PSwthCNgS1c2XItyuyLDD1EoZ9tTjgwJBWXDLiEkzbc00Q8fIHte0NDHT73pqH5iruvDbH280K3NpBzUxma5VbenrK7VpFcSFAPs9pvGQs55v5uneOgdofWmMmN0O26oGRuYF8/igGXDOwa6H00nB5r7H/ukP6k5s1IVvOt2G8GFUv90hbgA0JUzfaavUEnXfNhBailLuH8+j23a2k1oI//RE/NHV/7k+1+9ofQLUf8/1HxT79G9af+0+i9yNSf/cXfwdnJb3bNJttP/xsVLq3WwE3CObtsdIFWSLkqoabq/T/fXiso4160pQOL8G929RP1XBq1SNg0oZxGijUy3yHh1YFZRqdalZ9alrVal9j4RKScEewVKS3AFy/hDeX/KqMUW/b81Qb2/vI/ic4XapfP22AvnNqR/VNLXVtnoHXa9ucru6+89nqCmTompQp1mB6Pfvuo1cDBg1xthgqUk4DMLltSowrhqFNU8r85zh7Q1ijFg7c3lucRbyLFg3c10aeqsXVxFzD8qvTBRmDB2DMRyP4NyEM54//nHHPFra0KrEwhl+/dXw9eum3zWkuePxmLmOBWsD7fBAWoSabmAujLEh5YbDwVOyo+0M7dFzOCjI906zUyVWbueCQTjshSyZ7lTp2gNgWKaC9RMpOf70J08Ihb5bOP86kcvM5VKRrIY5L5mhizw+OXZ7lXE4b7jcDIlA8Y7HPnK9vBKAUjLD3mPR5jG78/RfH6hYulCweVkbtcAng/c9jdVCAV8jTRCcs+TqaA4B36qxKDQFawzxGmka8GlSfak1NL4Sk2DCwmVa8N4RKohrIM20g8OmRacB1mEkE2loXaJ92iO3EZOWtX5W37ezQiWT5zeW8UZnC4vMyJLoXEvTt5TDjvP5xuIMfplYYkSWGyZWgndQCjFbyAmz15770KhmVZYIMWHW7DQnSVMDDkdq25PfbvjbBVszZhoJh1bbulygFUvdD/B4IMcJM/TYcabJEWM9MgSsFXABk6OWCuwG5DbdDUembcAazDIjux08/4Cuo86J+vwDdnvErjFhnY4szKCmKtpWI+q+/1i3Z+66UuPdux40pVXPGvS8+EFfig8/B/BvDOrmyv8YLbXdZW961Y1Z/WdjT3j/t8/1uX5n6xOg/o9cf4+AFP6q/f5obgJ+YkB/WnfA+K4l1fPpCk4/UKp3vb+xWhEqbGIAZVKLskEVe5cMWAp8yKoWDKUq6HR+bYQSIazMpRhtcyqi5hd19a+TMlORvO6vrOaVFZTmsjbvrCyt8Y6KxhLBamySd7nYtn85KtMpFeY1l1Tk3r5IzZVlVonA0xP3mk5rFZxeLwoesZa20577OyM7VV6fFayPkxrMbreMEPnP/18BPKU0NEO3XusqNRXaAJe3xDRHDJnb2SA0WOOZF9V6xrmS55nztWKAt7OjbSovc+HRzSylZWgLlyXTSmQWhzBiEAYMpwf9PL2H0zFrBmzWm5LQWH78EJ6+wHLLtJ0aaL48Wd6uYAPkaFddbgGZmJPgpOW0b8AEaAK+FR4eDfOtsOsr1IqVwturBuMfHyxZPPu9xlMt84hIxhmLtZXHL4X9EMnLK68/IrXCj1/PjMsE8cahc5weAvsj7AZHTBqfdZ0DNQRkyRzDDZkrvRfSCMedJ81X/LFDXOD09EBwns4lyJVqDGWMqs2M5e6XCRJpOos3hYSn6cB2DeMl0e0cLAupWBqTcLeR2nZYKfjGskyR7CLxbcTWwiKCCx1diex7i0szec7YNkDbkK5Cu7O0ux3lxyvWKUCaRx3H+6CjBbm9sSw3HrwQJMOSuFbBDQ3N8chtzszAvhZMLoTxjdttJLQdoWpxRV0S/jggS8Q7waVFjVdxgesFjMGXRRucjifqsKf++oKZZmxaMLerNi5NE2X/hClZnfm7Hp8Wuv1ONaVvZ+qUkNbhGqfGKAp4B7NQo47lyVnH+ghUQdoOc35TM9M0wZKRrod5xrQtdtfr2H9asF+fVHtqDOyHdy1p22KOB8R5zBay/1EHOk3KhBqD6TutV0353Sw1DDrisOZdS+/sO1O6hfNv0SK/3f5mtvqoR/1cn+t3uD4B6r9l/Y4B6cfHbeambb//ye5vI3f4KQZqe6yR+h4lBTq2FzDOvJuo7lFRct8kok1O1HInFzT5SVGmiJp3xBplgNac09BqjaPcHf1rSst2kaoVJXwMGyQuZd2WqAygFMA5xGw1pwok4R2UxkXuRiyAedrG7Pp6G1N6PSvzaxANfK/w8KDvMUbR7NAZzlerDKWD0Bj6XlimSo6VaYJ5MXfNaq2wLJlcb7y+zsTiKDXStZmaDN57rV60Qlwyt8sbcZmZZoPzgtSOEgfeXh3WaCvVbfTERffJEbnOlQcHUwn0PvO8XDiYhST6eQiVvans95VaDKEVdkOBalmS6npLqry8GL48FGrWZIHLxfDlWyDGStcYzlejRimJiJ24Xq+EEOgPI9JYam7p2o7DMTCfoW8rgUouwvksNK2l33sKZi3lqUzTBSmw2ztKKez6wtMuUGNhniN5aRnnyjTCeH7mcLrR7DvaXUPfHwFl0S6lo0rFzAt7H7EiBFtYkuXp2FKCRhkJiYfTgZ0f2PkCFa3dzBWTIila+lawtdB6jW9y3pBKYNhbaq7Mt7VBao6UDKFO9xpeWzK+0ccZl4jzROcCNjTkaeF2uTH0AbegZqrOU30gvVwJp4HWZcr3syZZpMpyjZQxEoZATUKYzsQS6eKVIAaTE9m22NZRD4MeGw78HNVdf33R5iQxpFIJxlKmGf+wp04LzlRcSXqntizI23mNeKuw31MOD8j+QP3H70jMqpe9XbF9i11G0nDU41sc5ssTjoJNGWcq9fVV9awhKMu5zNAEJEfM64tqZubl7oY3QUf2ZpkRu7rnF9U91zmC80jTYp1VUG+tjuFXM5MJHvn1B2a/Q0Sg6zD73c/nRGvArLlvbgWPbavxUh+Zzw00r+fBe6jxJkBfGVu9c81rFeqqO91yUY15//7Ryf+5PtfvbH0C1P+W9b8IIAV+0pF+7B81hp/MTR/HTv9sBNRmLv3gMr1niG6B+6Uqg7Cyk7XI3fm/vYx176Nl7Dq6F4OIYNexvnEaJVWy3N3+JVVth1rrT3V6pqwrKCjdsrOrqIYT7zBWSCmT80RKGWO0jx3R8Pq4rGA16/OmSaVo87wC01iJUf9dtw3jqCD18UFNV5o2Y7jeLJeLvkfvFbAGm5EEaVFgWkW3m9L7f8ScCpdbJuaD6hqbSowjWM/+5NR9Hxcut1eW+ZVpPuBsYLkZpunG26vldBx4fnPkWLldnIbDcyVjGRyItDQEbnlmx8wkAwbDQKHtrjhjgJHjXgEq9MTU0Xfw+lI1n/QopCjYYFmS43io3N6y6jqXhrIMWHcmxV+YxonQHjkeTzjnGMcfHPZ79u3I7bVh3/c4HNO1Uq2nO2g8jw8a56Q3ARUfILQKiENXeNpnchRiSkwzxFtlfDtDinz98o3HJ8vp2IDJ+NAR3VEZ71k/9KErNE4D61OCh4cA3RfoLM5mGmcIxnIYVK+SRu17rTGTst5s2JzoBkvTKlNWnKfbGcoSmZJn8JG8WIiJJo3aLz8t2DbQ+Eo1jqapXF8nTK1YbyhTpIqldxkEkt3T+Ey2gXyLhMc9gYRcVftaK9RiSHMh9EErbm+v+M4xjCOTrcic4HBErKe2DSJaEeuvN6brlTyP5HlkNoZYIThDnhL2uKfOERcsQTIeodwiZryBNVSjzU/y+IjsT9RffqWkis8LZh71fcpC+voHSAVJFXl4xFkwGNxpT/nlByZGim8RY/Gmwn6HGy8K6IYBud4+VIsG7OMJOV+QfsC8vuhpyHs4vyFtd88utUOrN6W5YE5HZU+dw7QNtVToej2Qm0aTPIb2HWRWZfSrXY1Mw6AnBO/BrhrUaboDXzErk/r6+h459VF8vwb5/xTUv0kEPgYg/xUO/v/t//y/+L//j//9r7sGfK7P9Te0PgHqv7Y+unz+2vV3DEj/2R/Xnzvuf3rO9tg1Buoenm/t3T1/39gWgyP1nWndDFNrltNGxmrTkn63bjU0lXcAW7Gr+17B6jbpKkX3Zas4XeJaa7oG+/vwDrpzVnlBESjGkbOg8lVhTpnL5UrOM7Woux9p2e32lOJx/r0V6nrVDPB5rMyLbv92u9d2kxLcbsLpuLHD5q61PV8Nl7MCdlcTTdD7gSqarXq96WuMk4LdlKAZPC8vMF4z063ivOZ7atGN4bRfGM8NuRSu1yvT8sJ4m/C2kFPLMu94O1vatvD8Q8gxMs/QtYHX5cBgWkRmaqlkErBgWZi1OoAdlv3eYK3D4nn60rHEglSH9w1dA8/PwmmvzHfOhiyOnRecFFI0hACXt0oWz2448fLWkoqlOyQe9idyFMbbxOMp0HqQ1ODdiDOWcdphQkvbKGt+3FdlstdmsK4rLNHSuEzrCl+/BM5nYTI3bHFcf72AHMBWjo+G0wmeHncEP5BcYbIDclFg2viK86oHVTMd7L4FamtwrtC1hmACVgy7vUHGibwUvemyhhSF3VAxtdK2QjN4LXOoRs3atTInxxAStRptQrKJpSbSJdJ4y2ANFU+QCALOe0xK5CVRxdAwk2tCpKPZN+QRivH4LwNhPqsGtFbqevNYsu5HGRdCXQgmE+aRJlhsFm59j/Ge2vc0sdD2AbeMhOtImxbe5jNzXqtPfWCcEmHf42PCOYOXhK2ZEhPmcr6zhH7fUY8P1IdH5M/fybFi04KrSfWqJVG/fKVUg7EW2e+UUSXr2P/yBvOseaa+wTkDbaMZrs5jttHGMOiB1/eqRZ0XbaWL8X5uqtNC7Yb72N9KwR5Wg9J23tt0oOczZr+jxgQPD9g/fnvXjm6jHRS4Mi36+t4rc6sidj1wh+GDg9Pov20Gp21s/zEnNaV7e9UdjG6M6vacz3ipz/U7Xp8A9X/E+o8+QfwPAqT3tQLJn+z3H7+vj/lp06vWc4uAskbe2dYNnBqrBhkBWQGpQad+2+hejH5hzD1v1CD37FMFhRoFZa0+16pKlbLU+9i/VsOyxgxuYNiu1wacUz+DVdCaqwLQj5O0uCzM00TX9ogxpCQsaWKaW4YhsKwTxNul0raG6aYVoFWURU1JPz/VlWoyTRFLjJmaEvOcmCdPmi2Ip+tg2KlmdTP2ni+qVV0WTQtIYvBN5fs/FmVTszJq1iggpxS6PjHPPSkZSllY5pE0D3hTWeaecVnIS8TVwnjpKEW4TYa2s7zMlYfgmJLFAAuZgGHhrEUFZHY0PJwqxuqQ/9u3npp7mrA6t6vhx3Pl4UnAOErSz+B00kQEg+CcZrZu2uLL2GJDz8O+xdgzcepx8sLTMeGpmNopFjCW1yu0rWNoEyVH+j5jsEALxtG4hbfzjSacGdqWYSe8vF70PaeFmBqmLHh3Y38o+HZmvz9Be6A2nvh2hmXG1oonY53qUBuTsf1AODiu8wtpfEPiFW8MbbPj275jjAGi4ENDlcx8WWjaxJI8+94TDj3VOqpA3ylgnF4j+5OjjMpyhr3j8vpGQiglMdfKdRJObYvpeqz1tCIsxXI7n+k7yFawtmM4qNkoNwNOCs3lB95qI5QUbVYqxmNqplxuBJJ+lRmPVqqawwnaHkE/1zaAnyfk+ZmOgkji6hoeJBOGlroYZmvIy0QTAr4kHFo0YM+vCrC8x3deDUaPj9Q//6oYaxrxNcI06bF8eiQVi9RCaTrM8YBLM7YL+OlCud6wVDUBNlaTCG5XTBvg5YzpWk0s8E51pd6rvGiZNTXg+iumCXr+mebVVJYwzmEfjnoeS1nZ0+tNb7LbQH1+1gN4yzZdFtXooCJ0k9e2J82C0xOic5ihV3PYRzDbNO+gdR3Vm60CbwOfW+bcxphuTOpHacD6Gv/kvPy5PtfvaH0C1P/W9bdwMvjvAaTwl/f9NzrS3z7+Yybpfa0nyirmfSQvGmZvthDpj4YoKT/v0maMWtt1xL4H5iMaqm2MMo6go/ttW5aKZA3gt85Q8rthqlaISce+d7LBu/vrlTW7VNax+Ua8WKPtULVAXJKCZyy5sFaYGmrNpKXinWG8yTa5I6UVxC4aoL9JyG6T5fFJQfCyZEq5Ml6uXC4qT6i1Z7fbc3rw91zUcVKnfhFLxmJcZb6qAenHr8o61wJd8MxTwPgLgsE1EGNLjQ5L4vV1wRoQ0xPnzDxeifPMPEeQb5TSaU6rFV7nwtFULgl6MjcWAi0JR09l4UyL4fEwgTE0jXA6tDhxTFPF24oAL6+Wr18d062y2wlLrJxOlvlWaHeeeTbEqAa6YjxZoIjKE4LzxMnRNmf6biaXGz4c8aHBBsPr2dI2nr6LxGWk62ZCY5mWiqkL+7ZlHCPHXWZ/OOB84na9cX37hcb9kSqPGCzOXHl87DgdDO1hz5gLdXxh/j4jqaHFc9g7ggdDpTs22OFA8MJSL1zP/w9SE8YI5/lK6yM2/QMdA13XIqYwvt3wfSZnwfeeaBt8bXEY+r0jXTQabDcI+TJhSqbtLbcpEqUSrMW1MF5nqiyY0lBEOHkH4mgiDMcOPEg29EOHWTK53WGLSgRCEEpUfYmMMzVoDFI9XwiuEtKIk4yrC651ZOuZhx2yjPi2w6WCB+zLDwwVH0cynn2Z6Yad3gRZCGmkGo9H2VNZInZlTo2zmK6Bw47y+BX5/kOP9bczvur433qLHzqSa5FUEBeQfsDFGdMGHIX8esXcbmQcst+r0cp7bIzKcDaBOq3mq6JtWuaw0/FG02DeXu/j+LpkqlPAKF2PzRHbeAWFdXpnK73Xu83jUb8/PGKeHhGnbv+17u0+cr/fs/f9e5ZpCPrncVTd6pZlaux7Dl3b/myQ2mQDv2VJP473Pxqm/prz++f6XH+H6xOg/mvrLzGN/7PWvzMg/a2O9P7z327mt4J8kTUYX3WkGI2AuksBVpb07tZfzVbasmLuxqEq2h8l8v4aW7z/VlOa0/r3rOPcLW7KrfWid+ZUICaNBirVYIL2cm+vX8r7V87qnA9efpIWlArGBkqdyFkwxjBPGahY45RhTfpexlGoVYjLaoAq+h6WlUXdimbyUijLyPV2JaYdIqo3rTKy27fEFCgrsJ6To0hdm6KKklBOeHuFuECJZTUDWYbhgDUNOUXKYqmloRTHuIAxgXmZSFPh7a3FeY268uGJ+bYnYXEUppppSdyk0GF5ZWZYG70clQQcCPS7ALXBt5XjAEZarmdDP1RS0UrOh5OQpkLXwDwZghfOF8Npb7icC7Go8cxZYR71RmNotfGpTpVd07LfG5ZoCL7F98pg3uZIaDp2Q2BZIm2/MAwDKQq+RFwYQQzf/pBpO09rDbe3gomGlE446bDV0vSOb48tX/4wcHp4ZJpGyvhn5mUkR4/JheYwE7zB+pbmYcB3Tskxlzm//kpaLjye/gBppN0FLucLMSQejy0xziyXiW5X6YYDbavGtnmZyDWx32uuaamWXbNQr2rS8baSqyWnhPUW5zKXtyuHoWMRh5kzNU1M0ROq5zBYfNORTEMTZnJoyU3AXC+0TqUJpaoZsaZCNJY03Uivr3RdQxiv+AA+jYRjT3KOs3HE+YbxnvJ2oQOO1zOmbfGrKalJE3PTkIqlpLwWXRiC1YB8myP5fMGUjG3UfGT2A/XxC/L8okkYb2/4kjDTiOk7QhBqNyCpastT06/MtcV6izw/62g/NOCCtkUNA2YaVSLUdcg4qnlJqsZI9b2ym6ie3ZSi9aYCTBNiA5SMDR779UnzTN/eMF+/Kqg1Rvf/z8+Yb99UXhSC3uh6/85oWqvPFYFUFGyGoLFWvx3vw/tz+kFB70cX/hbAb7aYkQ/h/LUq+7qdez+evz/X5/qdrk+A+re4/r0A6facf25kv2ltP27S2p9zS7fXW0+ONevYfmM9TS38dg8Ec3frb6B0244qGlUaIBuCXMGkMavZStRQtLVR2XVb1ioI3UxDuaxj8AK2teS8tkTVd3Ca87urv2QhLXIHstaq4WnTlRoCzjT/P3tvlt1Ylmbpfae9HRqS5h6ZpSdpCJqEhlUPGpYmoSloZVZlpYebGwngtqfVw48L0iw8MzKyUZWieNayBRoIXHTEwcb+d8O2TsSo0LpgTEcIDmtEEjDew/e3oJgXCf0vKMarND49HTP5nlWqjWJZM7ebxjnRH7pGU4tmXjK+s0yLfJhe3/IDPHsP0wrLmIlBMl2dV4St0DYVb2FbPQbPEuT5DVvF1ETeNOtkeb2sgObyqtB8YZ0GrFIstdKQUcxYFjKamcKRzEKm0tKieRoKWlc0nqdjK2wusZA0AAAgAElEQVRyLCSlGZ40t0vBmsrQyf1LUb4stC0ss2I4FG6zIRtD4yvLXBlHCYY/DFJDugUxjzWdI0TPcDxSVSamSAiZzmsaZ7HW0jSLMPZbwAJNpyi1cjhmnk+Zt6/fWKsH1TCNPdREzi2Hs+HwpDm8NPTWka4zKs/EADaf0UpxfC5kAvQn3PGEc5XGSk6orhlnM5ZMUzYidwdctZS8oapEo7khoZqOpneijU0ZbQ0qLaw3ATa93sA4kRu6QsVgFPjWw7YQ14S3dxnKdeFw6CnzRqBwemmwuhCVp1GB2B5IS4T5RttWvK2kALpGMpaQMvN4Y7ndsCVCFEd9Fyvu+UBtWmbXsk1X+rajLuFeyPDKZj1dXkHLa+58g90StyXilFQLt97R64KNK+UmY3i8p3Qd9thRn1+orxeqdaRfvqFzlED+vpVJyOFISorqNflwFhmIrmjvsfOVPC9oq0mmkS9NnTRDaaNgy0ClDgdhRL2X3FJVqcsqQPbtTQBrDJS3G8W3EqvVDygrKR04YW1VzlRzB6DbSj2dJSPu+QX1dH6YpvYv4IoqALRtoaoHoaHaRsb7++92UHuPo3uM/ffR/x7kvzOoOyD9OObf/326+D/X/yTrE6D+915/ybfgfytD+vHn3zF/VaVFFLpHp/A9IOXD2P7BOO5F9dzb/35gY5W5A9gdl+p3RvrBvn5gbZVC+sjvTVAxvUsOtBY5wT4Ni/e80JAN6HqvMhXw+Zik3Uf323Y3VxUBqiEK0Ntxe0ri+C9VGFmjDV1/RK0NRkeUsiyLl3zMUFlWddeUSlC+0QJE375GjsedYBFZQEVMU7fREpJkdvtWg1Fsi8Y7x3QVXek0ynG2oOhc5tf/Jh9I0wRNk6FsxCWglMFqT05WpACxEuZETsJIXxdFLp55PuLtxjwndFLMqaG1ljnBSRXWGihMBHoMigTcuAGWjpnng5aect3y87OmVElPME7Cw9++Jo6HinWKFAoxWU5HiFEKD1zvWBMsQdE1hXmspCXSWDh0AsTnqfDT31oB7FrhdMVYWBaLwvA0VLaQsDZitbjI0RFjDxglX0R6l3h2I+O3RCiVZb0xjTdSNRgz0J8KzdOCaVbMZiFr4uKYl0WyWZ3leFTorqe4hmgMR5PxukDKND34urFimE0l15mUM5ffLlhdaU1PqtAcDEY3uBaMypRqoGa8CtR6gBDobBQpxzXQHczDRKRKZqhBCiV0ZrlNpJjorIE1EkPh9OywnSPNgeZkiOpMer3BttE1Be+lstSkjaQ9JQbi5cKyLhwUNKagcyaGQP3pTD0cycZTpytaK/JtRS+TuOK3DYYqQDoWaV9qD/gtcjKGojTWO/ptpkmB/HYTw6MxEsZ/6OCnnyhfX8nKUr9+Q8WAXW+o1ot2/NATN/miW16eUTFivEG3Deb2Sr6KFjQpS3VeNKvThGkdvI7vOaM7aGsaOW9dRG/6dpEtLSdqELBYN3m+NQV9OolufhyFPZU4DQG415uwp1FAomr847E9IqDuWaYl3ffGrnuPjLL23ezUtu8GqJjer58SePcONPM9v3VZ/nTP30Hpj/v5/whTvs/1uf4D1idA/f96/WsB6T+3CX38dr1f9uPpx8t8XB++fX9niirl0XP/UUcKQM7v4LS+34ax74CUuof0CyO4557KWbuTfQe45dEmpbR6ONj3ydju5t/NS8YbjK7EYsBKU1Ot9TE5K4VHr/xurgpJ7ucevv/RJKsRFLuzp7s2VZhZgzUdzrTcbjAc9CNGKiRFycKiWpVYw7229CyFBLm8T/NuN3Hho1qavtJ0C1sAowualnm0ol1d5fnNoWKV4pdfoFYJ0j90gXG8obUwR9pqlpiIY4NSVp4HFDEr5kVJTWssrJOi1pZpkrQCTeFbijypwFwTmpmVTItiQ0k0EJYDhqfOo2um6TTnpxbjPNtYsCaS48bb28b5nFkWhacnR8vTSbEEc2+wKsR75JalML1mSq54W+g7AeNtr3n+g0K7lZgzthraxnK5OO5kGCkG+uaGLivbVkEXGhuYpivnQ8Xnkba1LMGzpoxXT8yp4GxEKXh6PvB0Cph6xRVN3mAaR1TpyEGjVMadIPagTaTmzKFtMDmgtKLREZsyNSd+GjyKL7yNF7ZxoWk9Ojls16J9omlajn2DsoHbuKFLpGk1edGYcCMNjjksbLnh1BtqNSjAkiglsIaI1YUmSke9SQlyZdOO0+DoDh1pXPGnlrhm0u0btcLgE85CXITpTdVQtgjXKyFn7HzDOY1OG66zKN8Q+x6fATKmVNJtxs8zuiTKsqKdwpVMDqKJTMOZeF1w3uFKQXuL326YtJKvI/r+pUU1HnPsUD//RP76SlGG+u2Vum645YZqG3HtvxyIVQOFcjxTUsFYg3IWfbtQruN9XwKcRZd3IF8vV5T3Mq7vBhnt20bY0yyvIUaLdv4+Mq/TTHFiPqq+EfbUyki9dj1q2+RLurWwLdTzk7CnT89wPgtI9e7hrlclv4/oS3mwoMpK0YI0h5R3I9TeNjXctbHWSj3qzq5+3Lf3sc8+9t81qTvbuo+RPp38n+uveH0C1P/o9R8BSD+O6/fLfjz9eJkf18fNbDcw5e8Z0gdz+kFH+vEuVnanPQ/daUXYS6q0Nz2uX+u78QneAe7dVFVRjyiqXXqltLqDU1nGaXIV04jWEJOAXwGn9ymYEr2q0ZWSqrBBRZGyHGcHoDkLSIvhnqWKgNKUoN7d/DG+s67GaaZJ0Xb14c6PWyGt5RFhGJJinKTfXSn5bNqlEZebYsuGoir9oJG6boO2kZQs2+rZZkUMiRTvbVZFS7h/KmxLofGKdd3QJtB3PSVXwpqZtxGFJidLKpoYRAu7TvJ6/vo1o1RgDomMptKSKXSMjHWhwTCy3k1RTqo7WTmTOPgzjeuwXnN+UqhauH5LOBPIauX6dmU4R8ZloW88MW749shlPnI8asZbJcdKiYEUpXBAUzgc7t6TTXN8sTRNBDWzrgvOaZTO/PbaYehx1pKXSNOtGL2QYofV0PjCMq78fA7YJuNbTcqOmGaWFVQdMM2AagzP/cjBL/SmYPUTuhZSLFynFW8tdujBRZZyxUYN88ZpOGBUj9cJT8apQt0SXQ9adzynF5gt23EmFkPXdRyPA33bMLSWw8GyXAsHJ2xwmrJUcrqNEDfWDVp7ZdpahlJojchlprBAvAmgC5GTcxjjycpyeOpoKSgM7ktHvC6k6wzIFyeXIvGW0a0nh0KZJJOsrBK+v5KxccOdB8zgCEqhYoXeoGLApEpzubKogh4nlNMMGqzx5FUyTuNlpVqHqQmcwc0XTFqpr2/oVsLlVd/JKPzLM+nXb1Rjqd/eqMuK3hbUvQnKPR8oypDXhPryQjUenSK6bdHLiE6BEiOqaci+pZaKcQrmGV0idMIylk6ioapv7sA3UFMSFvX1DTUMqG2lXCZK01FjlvipnNHn48MIpU6nB3uqjJY62JcXipGPSD10slc1zXsuaZXkjGr2gH4xYqrDIPrSdXvPQ3X2nhF3z0bd9+J9ZK/197FV++/2UX+M75f7Ubf6CU4/11/p+gSo/57rLxWt/0cD0t8xNT0ue9/8HmBy3yhz5k+EpHvsU70zjB9YVa1516oiwPPj43r8/26VL/W9aepBwN5B7i63isVQ78fdR+e7NGvfp0O4j+xzfQBbraWidI8x2h9qCkUA6N2Ule8m2v1exlAf2rAUQRtNjBL8P89y27drRdXMMstnz7JKSsD1Jvf7dFaPBBrrFSEbrhcBjN5lfAuHobJtBqM7wuzZVmlVSklAqTOFbaksU2FddqZXygOsTeiSiasYPdZVE5Mh5RVD5XJN1KxZZk+IjnHMpHgjE8SARsUhgl3DxsaBG+CBib8HfiFi+VvrqGogVHjqC94pwiKZsl1bWZZAzhvnsyOkgNHPLDnSt541Bjq/Mt16wpQkmzVktgWcKZyexSC1rvJ8PT3BGhIprXRNhzaabasYPTE40Kml6cD6SEzgTaFzmRISf/Oz5XSClC2UFmM1t9EwpjeMDrhSeO4ihzbirRYDjs7EDGvQ1KZHnw90nWWODUO1KBVp+55UVkx5E/lEkhH380lasbZYqcXSHXpqEEBqHbQejueOpkTWMWG9Z2AjzB7XKkoamWtGZ8f5ZCkpk9ICtqJ0S9gCpAXfDtR5w3rLLSSRVvx8xKaV5Hp8qwlfLxK1VCv90eB0lkjNxpJioVxH0cNuAZs3rKpoXQhDi+otW9fjY8E3DSoG8rRiX185HXq265V67GlLxPc9ao2o5xNhDChr0NsqDOk6YZebxE0cT2I4Og5wPqO+vFB+u4PTtwt5S5i4YQ4dioo+HahOot54OZOwqJwwxx49j5htplyFYcy2EdLw1Mho3wD6XgXaSXC+ahuJlRp6mEYBmNebOPljkM2ibaWAwBhqLujDIBpWoA4H1LJQfSNGq+sb5fwkTsjTWVz8pQiI3YPzS3lUl9b1nme3j/dzln31eHwHs3dioMYkzOrdTAX1XQqwg9xdWL+zpz/mnu779SeD+rn+ytcnQP33Wn8OnP6efvS/AyD9LvqJP2VIH6aoj7d1j38qHz1U9yB+6h1q7ri0vgNSGc+rx+U/OuUfjCs8gst1Y4hBajRR/Ak43dubYhRgWu6mBDFPvRtfYwRVJS8xBjFFKa2g8l0qwM6S5qIwVktUlULG0gn5YNVw+U2uP8/qrg+V+/R2UVgrn2GpaNak0aawLJHX15llSTSNQTnP0FvCkqm5Mo4CoMdJE7ZCWAuHIfLHXwLbllhXi28atDakLeMtGK0IGXJVxA2WJRPTRg4Q4koIAu7i5gnhgKobKxuWlg04ADOia5tQGKAjsLLBPQ/zyfUoc6C1R46DMIwxDAxdITnL9a1gbcFoqAa2TdjCkhMxZLyCuGzMV8PxUJknyap1XnN6clTEnf+Hv5Ex9LpoStloW8U8KWrOdC6hdcRqw9ALONFFoZYV3xSqVQznFd8tjJNG6wajNJfQkq0iTX9Emb+jb3q8L1haVOyoqjAviU07SgveZw4nTZoXjjZjVYMzDlMX5jwz3hLH/kDRlZM1rFODutdkVlOZt8rxPGBUxXpFzRNpuqFdR6M21BpYqqetAdU2XDf5e+wtlJDEcKUSIVqONmBVIGwBXUDpQkyaYjzeS+B/6o7YvBF+ucjfrre0TcaXSCwOYxVpXCmzOMPrbcTUjE0rtnO0pzPqZZDbyODaDrss5GmBeRaJzrxw7BqcKeTiQBlUq9iuq7y3agKt0MuEHV/Ry0g+P6FiQB96yukJ89Mz/PabmCdf3yhrQM0zum/E2X/o0d4S1yRVp65BbRumb9Bhxa4jdZyojbCmlII59LAuMtrfgrC0VZq1lFXSBuU9OqxikoqgWB8sZ5lXim+pKd/rRy360Mu3inlGDcN9fFJFEjDPqJ9+lskSCCNa71XMKUls1bq815Ta949R1bXve/PdCPXQ5eYsp7v2J2ewH/7/Acg+8lT3vXgX3qvv99RP/enn+mtenwD1P2r9S9lR+PcFpB///agh/XFkv9/F3RSlP2x8H1nQeg9V1zzqSPdWHaXkvj02c7VLAPT3D7EqdjnZHiel7vWlOQspEsO7YcqYu9nJgKYS1nciNhf13jR1JxIoBVVhW6XxR4xQkqGqdX0E8SvqneWUWKRcwTjFtspzFtf8TmDcY5lygRSEHZXkGMXX3+D4ZMQclMW9Tc5MS+LXP97YtpXGg9eZmhrm2xFjLNdRs0yF8Voepi1rEn//X0e2NRA26NvEMja0zYG2E/BBbYhTYF1HSoa4FlJRTEvF6Y6cRKua8o0tJAISvj7hOWMJVCyZiZWGTCKwEYERT+KsBxrzhHOR46HcfSOZYZAXdXzLHI6aaizremGNmb5fWWeF1xu6GJZQqKmlawqXixJWuNE8v1Ruk6JxheOg8KZIGoGuGG347ddA1yraBkotWFs5HB11S/i8okwWB7eb0XahmsAWWgqVXBNhc5gUKetI7zJfTi+cD4bWw7JltPYkrfnGlRS/4U3FBEu4VrqmJUVhe0mKWmdKnHg5PjN4iX8KcaNaT9eIlnCeE31XMarSdQqdA1FV0rJwqpFqHetSafsoBqMtYazDxIW6FazX2EYxvwXOLw2WRF0TNSWqb+Rv3RuaOuOGZ3lPXC4kRF5iGkvnEi5HQrQYFUiXiRLS449U54gtAXvssL3Hn8RM5JtBmpXmmfJ2hRCEsbQeqwrOyBczrEWtCyEbcpCUBmJEq4q7fMWkjXwUcEov4NS+nKi//CJRUq9v1JiotxE7iOZUnY8Yp8hbpA5HAaHziu4aiZW7XanLQrUC6oqVcbi6XoS9jdudJZ2ohwOESB0GVONRqlKnBXU8CIi9s8Msi9SfzpKRyrahX55k/3p7oz6/oG43qnVwGFBf/0g5nlHrSj0/w+kkx3l6EjPTXufWtjJ12eVR9+xT1XciFSj1PXBf8d4a1TRSb9q20jR1P87j3w5kP4779/19D+b/Eax+gtTP9Ve6PgHqv8faUdVHIPiXsqM//vzvAUjhTxjS/foPR/39uIoP13mgPvlZWMd38KiKCDv36+xM6YekqO8eSykSAQVV5AG877uPsX58Z2CNgRzvUTNKRtyVu1Z0j4FSop3VRlHvFaghyn1IaQ/gl177UmR0b5xm2yRzddvuhIYqbGN5PFXLqh4ehMvlbrqNcn6toL3h9U1xPEs4fYlyW0ZXble4XDbiOtH5jtNZE0Ilp5mcPWFRXN+EScv3UphSFZdLoMaZbe4YBsW6OKxf8W1EK0tYKzlADh0UR0qJdTPEsJBSJiQxHIUQCcwsLCgsGzcUmokeqGxcsXczlOYrcOFExtBSy4zzE60FZRLjTdN4g1Lw9dVwPClyzcRlo+SAYmKcJoz5jbWcoThUaal4rrNo8o5nkV+Ms+YwVLoWnBfDWOMrjoW3bysprkS/UBfF6WjpvCH8ttI0jubkiJvhb75odJvJZcW6n1HNkW0pXL79gk7/SEoN1t94Pnl+fupxd5lGdYrcHMgxUWqhc9AZSy2abbvRqkpvIIcbTafZ4kRvNL2R+1irYtkcykmEVk5wOhjGBVq9obOmpESeJo6HnlJgGxOHkyFviWIdlERjNLFqMhu6wvwWOR89TUrEovHWkpuGW8jYsmJcR394woYC0wVFJSSNUYVOrRj0/f+J9NuVXDVqniEEdAoCgs8D9tjhn3pxsHtPXQIqRcq3N6o2mG2haIsl4UylrAk6yRgNUZGKvIdUilAy9vYNWyOpP8p5fQ9PT9hjh/r2GwVFvVypIQo4PbSoInpP12hKzJT+gBp68hJRjZeyjemGXUcyYkRKpqGGKLFYWqO3RUDbtsm4PmXRmd4d9SpHat9LlmmUzFZipChDCUnqUQF1Ospo38lYRt1d+DSN7GuliGTgDjxV30ljVU6wSODy/qUca6nbXVfaSXMVMcqXc28+NoC8s6POfa9BhXcgu2tUp+l9dP9BHkW9g14JgP5ei/pn1v/+f/5f/N//+f/4F132c32u/1HWJ0D916x/apz/e6D032po2i/7EQT/KwDpx9ur6vvryFj/g7bpw2kpcswdPD7c9grgPdhf6V1bijAG9/ueMdSPQJbvs6i1qsTwrlU1VonZySqUkpipXRoQ71WmSgsofTyVWhjQWivpnnGaE1gnLF4FrBftaK0SXL4D4xDfTVnzfD/vzpaGKCP9JVqUhbAImB1aud1tvetfM4xvmWmslLThveLliybGSucLr79lct5YV8lxjEliqeZbZttgnTa2oGkaLZneg4DxvK6YpmFdNTlpcnZoLMtcSNtCCJHXy41aNpTSjARgBv5wtzyB541EJAIeQ+CLvK78wjMzmQ7LgeEIzl1I1VKWhm74Qi4DsRiOZ4VRhbiu1LTSmDPb1nHwA2ucKfFI1z2Ta0uMFg2cTyKhuN4UX14Kp5N8/paYac1KDjPfthuogmsyRq0YFbH1COmE71raIbNuM8dz4XCyrEmxlhMVw/zrRI0Kmxw1wk8vjq47YNyKdZbiWnJjyOsG1ZPCSG8C5+MXDIUSIim+YrzheHzGGo2uK01pMYOj8YbiGtYl45pCzp5SFW2v0KVybDW5rMRJnHenUwPREJWh77IY+ZTBlIS2UELm6TSQFkgUzj3YalCpgDNY12KV5ymLa9wrMHNAKytSlGTwruBzRDvPumzkeWRbN9S04WvFlopeZ2FNG4P9csY7yYvFGNLb3Xx0HaUsIa7QNNgcsL2nbEHc6vNCxJFqxfYONY0CFsc3AcS+lzfS0xPqfMK0cpmcIXx7Yw2R8HrFP59wNVKPB7SthBBQzREzHCS2ymiMVejphllGchUHfdYCLk3nYV3Q20L1HhVFLlFylQipwxHVd+h5pN51rPu3S1Wy1Jn6llLyw12vuhY1dHC9Up+eUeNNtKdao96+UYYjKiVhT49HAa2nk4zic34A5MceuTdFxYh+Pr+77UHYX8Wj3rRuQTbIvTlqB5rev+uT9tN9z//o3P8IRj8Z08/1P8H6BKj/0vWXuvH3zWVffw6Q/jiq+QgU9yYR+B6Q7t+u/6lj/c5tPx7Gh8am73/B45iSU/oOLJVW73vkh2O+j/WVbOT3Y0noff3u8FrJ0UoScPdgTpUScFpET6qU6ERTlOdxH/9/dPzv93H/XYwCvlNRKC3d7/vzva1FWFTD43zJWBXN6bYJoF0W+f2SDDkVrpeK95lplvvTtvIQt6VQkrzO0yTjdefAeYOqmW0KVDS3uTDOihAcOUJcM4fDe/SUGIcdlYVaC42V3nRtKkV51hW2OUuKAYWvXxOlTqxh5fIWWPMNxVcWBir3Kko0gQJoJnklcDRIrL3CUXhRiaw8VllOx4nGG66TZhhOHA9/YLz1eKuxumBLJmwVVWYsBZKi9w0hd6zrwNNzzzwd7+1FipenQthEI/zzT5XDAbYpoWrB+8htnIjxAm6m0QoVFxpvwRRSCaASfbuSa+TwFBjOlrkkrutIiTPLm8foSg2Krrf84T8deTl6VNOxqQOrqeSU2dZEozS+FvxQmJeKzRvGKDABRUFb6E1BozHNkadTZMqJcd2I20rTVGr0tL3D64QFfOs41sAyaoozdF0l5VbapjxUZShrZGgSKYvcxRHvYNPx5BM5KtAWpTM0nnBZ6J96/PlvUNcLadoAhSIT5kTjE84atDZs88r89o01Jsq4QArEXDk6h/9yxvYe+3TAl5WKhRhIc0CPV8oqY2/TiinHqILtnLyh2pa6rGQMcV4wvRiTyjhjt0mmEcpJ1NIwoA4DuvUw3kjjQlw3rsvGcrliTkfWMFGGAVczTUhE1+Otpc8Vq8C2DnW7iu5UG2op0PXUVOQ2lgWlqug6t03C9LWBrqUacduzrlQtUV31NqIaT1YQlpXgG9QWcW2LTQnaVmKl7mN/td5Z2b5HJ3FVKmflNnKWCKhaRJeaeY+WKlqeq5hE9rRnnH4ElHdWFsV7rp2XylO8l8e3f/PeNab76ObjBrfXrX4kKz5oXv8SFvVzfa7/v61PgPovXR9ZzH/uMvvpDij/Jewo/P64/keQWcqfAtKPt7lvdj9+u/7gwudHQLpvoN+d973THt7B6QN3q3tVqdXvY/0Px3jczbs7XnFnXxHG8bsoKfVOHmgKCmkjSlGOFeM7WfzxxmqVyKmCliYpeIzOa8rfPZUxKbQRPekjrEDJ6D5nGd1PsyIEAVcxZgnH95XrVS576CTHc5vV43n49g3CVnBmZ1YN8+JZU2BdKvOYWWePNVpMQL3iNsI4wTJX+rYyTxqrnEQpVZEdhLmhak/eJEs058y3G+QSWcPGeOupBSIdBUumo+Do+EbgN7I0mGNQZDRJnnl6CgcVyTXT9x2H/hllHbdp5HBo6Pzfcns70LcFcpTXISW6XoxMtpGSAophXQr9EW4XzbZm6BUvp8TlTUlZgc4MJrBd5W+l6RJvlyvL9sbBJ/IitZ7+vGLKM9YpnHYos6F0wnQbdIlvt5E0J0JcSfMZZzJpqzg/cz6cef6pozkfJH+1JvS2so4bndVY43g5we0CVVXCesM6jVEZVysHox9RZ93RAhbWiHGVVBYyBwavOLgiZuu6YdZI1o7WeLqjZdvkfe68ooZI3iLtYIjFoNOG1kqyeaeZvoGcZXxrvDCoy1Lpfj7h68by9/9AKomSA0YZyIaDKxhnUCmSbxNpnVkvV1xW6JIpayRaqH2HfZZRujeJoiwsC2lN6LdvFG0lpsnLKNo4DdvMrBrCGrFaYZSjLEGkM7cRdXnFbRP20FKKEmDVtqjTUVzy80S5TdRc2aaZ5XqjPwy4Glmahq8x8rcq44ZnTNsyhYQpET+0MN6EnUXc7erlhbzJON7EFUpGq3v0Xds8WuuUNdIctbOrw0Hc+31HqpXpdmNOImxPKdHazLFr8a1HtTJKqV40qhUlgPX6Ru0H2a+aVtIIUoTnZzAf4kP2kP5SHhnP1PoI8a8hCoB8NECVdyd+075vSHsg/37cXX+6G6b2y+1gdzdN7Q0k9vOj+3P99a/Pv/J/y/rnRvo/AtN/alz/MfX+x3H9P8W0/t7pj+f9HhNbv7/Nx1V/OFat76YmPuJfJcamHcB+pzndVxWDkrprVkuu6LsZ6oHbPzKnpdwNUQqrBT2mdN+3kdOcRY/6wNZ3OUIIUggQI5RUKKm83yfeTVnhA0u7B+gbA9NmSaWideV2kSiqnGV0H4J4Il6/ZpytdL2wu1vUhDVQ8sbXPwaUsjjvaVqJTKIGSqqE0XK7VGLqoHpy9aAqr98kF3a+Sibo21XTdR7vFLVu5FLYFsW2eZzTpFh4fZPHmxKMY2KeFVZXxpqoaBItGofBEoHEPyLs20DmC9BTSfwBTWGh1JnDGZx7pijNthissag6EG6WoY3UKOkCxiSsj1yngnOKNTbkumGVQluYLp6aDC8vCmcr10vl6ZBwZJzT3Otkt0kAACAASURBVEZF21S6PvH2emO5/pG2XUlR0R0TrXNMs6LvMs4YtG04/tyg1Rvj9F+5jCO6KsZpYpsrL0NPLWeGJnH+mydOP/9EMwxsyZC2lW0NxC1gtaG1ikObCbfIubWMZSCZGdJG32ra5plj52kOlr6rJAxbSOQwgwWdhIOO1hDWGcpK6QZcrniv8L1huSWMlwpXqIRQaP39i9y2YL2YqFKsNCaTi4SyG6sgBBbV0Q0VO74xLolcV5YY0SES18jxaaAah86R9HqjWri9vXIdZ47aYAv4Y091CnVs8XXDGU9ZIion4mVGL5OYHFcxJLGumKGFbWLsO5bLDaUUqYBOkaPSmFzh22+47Yb58kQJki2qTkfJMqWKa36cpPL4ciWOIziH5a4PVRWbNlJ/wnUdqohTPjcGPY/oeRQst2bU05kUJJ7JplWMXmEVU1QI0Ph33amxqHlCx43adqjrRX6nInGZWWOkdw0lFop1TKXQNA2NNRKQ//KCulwE9PU9erw+Yp+q8+8Mp9r19uV9ilXyQwNLrWK88h51OopofdeO7vrW7gDbRl03EWDv9ab7pur9+4j/I2v68XNj32x3bdRHQ9Xn+lx/xesToP4l60dA+k+xo/D92OXfOq7/ePqxl/njeb93W/tprQ+X/X6sh2P/h9v5iGP3DXHPC/yIeb8Dp/ttVNF/7nrUUhXaqgdeLkWes3RvdqpZKklzEWMS95rREES/KOBUzE1KSbD+LjcIW6XGRIj3+30P+N+Z0f0pfsRIGYhZk5UmV8kbTTFjDIy3+og2nMfCMosx5HIRo0zTisQghcAyjbxer9xuGa08Tec4DQvTLeNsYlthWhTz5EGd7hKHjXWaiJtmnj2lenyrWdbKoReGRaNJuWNb9zsveaHjKAa2UhWXb5k1FioX3nJDJJNJtFjureusnIGEJZLwyFu84T/pTCotbd/TdQ7fetLakWNhcCvL7ElbS+v1PQIqY1wFszLHQOMrsWqWSTEMrcQ7FoOqnp//xlJTYvoaePlJczxCylKR2nogFy7/8Apm5nw6oIzCWot1ryRmtAs0hwO6feLp4Bm6jcvlwjJ+5eD+lnUxmGgJ5e8IceV/+d/+V7onizULfdsRI6zLwjzdiDlgSqZpNlKsXNaCt4ZSNIdGUVLP4WXAYOhOPa03NIMhF8X8FqlNZt0Cems4ngbyMjFd/gv6OKCso8xXdO9RVJatpfEFrbKYf1LBN4ayJkwVVr1OG1VVmqGhREOxnibPFNeztWe6eMMtK2EtaB0Y541WWYpy9GdLLCv5NpOxEGdurzPX28I2j9C2dF2Lf+5wjaNpHG7wlGVDUwi/fEMbJaH9zsl4O2dM32BNZe47lttE1zQiV1GOdXojGo273nBEzB++SJD9MKCfTqiXZ8q3N0znYJ4pW6ReR2pMaNdiCTDIa+xNJrdHaCT/NFQN3tGsEyqsWK/JS4LnZzIavMZsEt+kUkQNPWwb6niQt4RVkllaC1QBd3ubk+rEQJW2DXxDVZbaO6lObR1FV9Go9j17dl1t2nug/krtRFdblRZtbQrw8iJ6nnuosvLvzvqa73qhtn3PRjVGtPxKSQbqtr5XmjqJtHqYnPYIlJ0Z/RgZtW+0+1jpY8vUvhF/alA/1/8E6xOg/qXrnwOl+/oRJD7GPR/0Rb83rt9/98+N63em9eP/f4913ZEafJ9HyvuI/sfbrSjqXku6Z5T+jhJBUal3fep+P2sVIKjMe6C/1qBquTecKri3NCmtHvtuzmCtXGF332ujiOlezWk/PKwsY7WcQVVYwntBAOp9OrZrTLcg2gHrqpioiozuw8OUBde3SrqP9begHmkw4wjWFJypbGMhl8yyjvzx1zderxPONhxaxbG1jK+vlKrI+Qtr0FyvhRhmar7hbOZ6W9miYRwrrYtCsCiHsWL66ryYpWK6s8FFk2Ll25uGlMhF8cevkUwAvjHyG4kNMEjs/kDFkdmAZ0CT7pmnCvjZamxr6V1P5xra1vDbr5rDYcV6xeuv0A9HGuOpSp4/23uqWggpYk1PynB5qzw9z9yuDm9lXPl0yMxvAe/h6YvhfCosq0LVzLEJvP0mebiuU1RlabzFuIaYN5RxGNfibYP3hpPfOJgNHR1hiujquF4jWkeqNvTHJ/ovcP5DppqKjRYixDWwhUgNI51uaJtCigtjumEUbKHSe4vVHadDT9Of8NbQ9JWqE2+XiaI7Wpu5XlZSVjy1GTONKF/QtmIKeNfhbGZJiZIs5y6iaqWmTCqFso3MG7QanIZSDbY3lLxxCxsqFbq+IfdPxHGjS78KSAsZ31kutwRrJHtL68GUSJ5uBNfR15XbtDKNCyelcU/PJKOYO0sTZ56HZwHg1xEVA+FVqkfLbXrUf1IVJm2YfoCcCDGhrADqpDx6m7FxJV9WnKnizK+Fcn5Cvzyhhp7y9Rv2PMDXr+QlkK+TZBxXRd9bajuwFWHbY39mSBBz5ZYyyluGsNKuC7YxwrweT6ANVQsrqlIUdnboIApI3cPt1fkkrU3rIhIE5Dp7+LFaF0zTkpeNYjUoqI2YmPz5JKP8tpVN5g4UdQqPdqfadnA6y55yOLzHi+wbXylyvT0G6r6BqecnCJuwqu6uCU1JWNl987obsVBKtLO73nQ3RO25qPv+/uPnxY+mqR/B7Of6XH+F6xOg/nuvj8L3fy07+uPvfm9cv6/9uB/bRvZjfbyo+p4F/a4q785+fvz3uMguBSjvgLTuetYP2tZd21lzuRudFOp+3Z2V3eVW5R7/tJtuqcJuxgTaVGJSj0pSXcq7aqIqQFGqfNbsD3fPRrUO0SEaRQpFDBY1E1aJrYrxPcS/pMrtKtFBKcE0C0ObQiGGStfctatBxvo5Lbx+nYmLpreefmhQaiHmhlwr61qgwO0tyjG3gmsXbjOErSMETd9WpmmmsZZDJ8UFxinGWbMuEhJesmIeC/MMeY1sUXObMnDlxv9D5h+Rt61FemgMiRPi0RdXvjg6KpY3TpzJSdO6nr7ROBW5flN0xuO14u23xPnUok1DSB5rpW0rJSi6UDKkKC/uYaj89hsYVpzRDH3l26vi+Vleq2Nfub4WdFgZBrheLVuSiKpSDdZXTifLtB0YTgOVCVc6zn3D0GXaJpEDqGLp9JGvt6/0hx60oe80Taf4w5e/ZWgM802jlaFGRRg3dL1BCBxOmTVPzPFGThtoeD79hDKRZmgptlBVpukVyzIyV0W+LTg3s+QGmyN+u6DbE9ZpYp1AK5x1NE0lrvK6tG1F3bWkaV3Y0sYaIy6vbFaRouN08GxaMY4bqlRqY7h9/YoJmZeTA6MpCXTN5DFCglRg0Ak7S8JB2QI+ZmKA6dcrurO4vqd5GchGEdNI37Y824JeAvXtQlojOm6UKMybDiu0LSYHzE/iXC9obCmkJaBCRbGgvn2lzBPtacC2HtV4StMJe+ydgFOnqP/4C3ULlMtINY66RczQos9HjilSiaTTiUY5zioRMSSt6eKMXxbaxkhG6nBA1Uo2DsYRXUXbqQ+9vMGdGImqdai+ky+Vabtvkwo1T1TnRT50eQNrcQW8MkylonKE84Fh6PHjKHrSSQBtPZ7k5xgl9qqWO8B0qHo3SDnLXYQtGtM70VC3ANY9mqPU3lLi/cOZrxQCUPfwZOnJfd+/75FUD7Ki695JBWPeQXRK7xvyRyZ1N0t9GqQ+11/x+gSo/5b1e6P6j7/78bx/DTv68fRjI9TH4+334YfbEhD5w22bHy73wXBU651ZRFhS7sH28KeAdD90zeXR1FTvwfOPadWH48YoqtB74gu5aqyXC+zMoaYQ5kypIgvQRljFPbsaZE8PgbtMQdi+hMG5wrbVh4Rgr0DdK1G3uTwSAXKB60WY2JzKvcZUHOjvDYqKUirLmOk6+C9/XJlXhXUO4yVKKgYlbuFQub4JbxkipDQT4shttpTsyKmjaypvr1VaDtt7FaISkBxClgKBANfXRFWaZVEsq2XZApkLC/9A5u+ADXgCetIdooIDXu7g9ALceOZKRlO50rtCZy1pcaxB0zYQo2WePU2nsI1i2+7536oQI1gtlbDLWiQPNBemMWIJfDk6rCncLpWff9IMbUbFwPxrwncGd7SsWyXFwuEgdbXeedwAwRZUyjQqY0rHoWs59wqtNWGyWFMZr4Vkfmb4qXC9/crxpDF2YWieOfmBvA44VShbZL3O1JRxvuKOmWnbSPmNnDaq3tDG4wZ7d+xXlFL0XSRmmMaV1jfoviPOgTR9pT0fUbaR/ANv2G4Zby2dhTAlSgpYnbC6oSwbrjVsOZKWkYO1aOcpSqPawpwSaVxphiPaKy5fv3G5Xvj51DDOng3LsfXoKH+ztipOKpBuV0rNApwrUA2hWpovZwIV93xAx8jQe7Zq+aIzes6UtytFGfQ6U5ShxoDx5qF5NW2LWiX3lJwxtsVsC0sIcHtlu400T0fQldI1KN/KWF8rym3Cqox6vVJClrYn11CnBXM+oLsGTcE6jX7+g2jMY6IYj9NaKkzDKganmKj9IG1vtqVeb6I/v2tk67xIJFTJwmp6qTJVMQjobDxqHGW0XwtMkh9XqkJrw+A1LiXy8xlvDW2K2LalhogyRoDf9YqebpJGUAv1cISjPFYOZzHOfWx+klGP7JW+kQ0uCQP9J2TEMMA8PUBmtQLAH7FS+0Rtrzv9uL/vutKPYHRnWX883ff1z6rTz/VXuj4B6l+yfi/T9M+N6vfL/yVmpn39yI7u1/kdMPonS2v4vdH+j6sKqKwfGNJHlJMWxnIHukqJGUmO9Q5IP+pR38HpXZda7kSB0ZSiMLY+CARqJS5JHPb3/NGCjOa0EXPTR6IhpnvclJE/21wk+9SbzLp+iMWqoIqM8qlSLVqLvAYpVOZRopxSkLgnpSTztFTF0Ik5KCeRBVin+eUXyMXj3MbTk2MZHTlcWSYpEZ2mszCvaaSysMwLKbdMUySHlX5oWVdH01WsrXhv3hurqmRkblEzToqCpcTC66WSCSjeuPFHMiMwAB4wKJa7Z8zIi4NDcgwSz8wUGjyJQ1tw9sbbN0VjVoZTx/WmcN7ROIuyDSEIc+xb0b36RlIUpquh6zTz9SJ1siiGzhOjZ5kqT0PkSCDPCpzl9GJZNqlv1VbTt+AaTXOSpqDGLORtBlXx2XEcLM9PWhqwtoz2lte1gYPDKxiS49SD0m8c+585dAfqmollogShzrVRDE9Su/v1dSLmr1Q81lScP+HaQCLQ+Yy2Ae0r26qYp03+BmMmTSP+0KBag7eZ4+FIDCuFyvPhiNaR+bpircI0BruCjhXbGOq6UeKKMxllW6DSHxzr7cJsHP3TCZ8Sl/92IeeF595glaLRnnW8ENQBVx06BU51obSeNG2EKdIah9kS1TZYrynHEycTCDXT9rBNI8dWY64LZYuUVNA1UFxDXaU+lBAwhw6TNlSo8v7aNum4v84MW8ROF24xop+ONLqytY7sWk5/+AkdAmUJ2ChVo3mN1HkhN71Utv70gnIGTUbVgv75C3HNkqLRdhCTGJqWSbTHukrWaM5k11JHqVllWoSpDRsYAZ6164UhPZ+o4wTbiuoaSRegPkKLVQyiJ1Wamio2Z+zxiPYe3XrUtkrg/nKvgdUGRYCmoXBPCKg8ckuVuQfqr6toYBv/GMfXdQNjBYS2rdSg7k1U+36ekvx+3xydu2uX7qD0XgjwYFw/EhO7PKCUd4nAbpr6SEZ8MGN9gtPP9de6PgHqn1sfAehfoj/9PUD658xMHxMA/gw7+ifrh17m3yNvf+92H5j7Xh36Y87oo8JUKzFSfDjMR7xeqzCkSg720KXFVFH3lBWjRa+nNXB36oekdwnZw5y1a1ONVcR777i02hSqurOd+Z4QoGGZ7/KtJExkTOpx38YbUAtWV5apMM3CyC4LTIvGucp0SeJXcJW4CZiNWVMU/L/svVdyJFu6pfdt6SoEUpRgsyfBSXBYfOCwOAnOoa/1vVZ1MoFQrrbsh98dQGadqjpdbBqNp7HN0hLCI8IjE9i+fP1LPP8i73loNVpbpuuE9oZlcsTQMD3OGCsXI2+uXO4zJX1lmRu8gyl+J8QrXTugasaZhmV2lFAIURGSJkbL9aUAlbAWHmNloZC4U7iRmdjH9hpNIVHZtHH8EegBtalRI3DkqMG3D6wpjA9H1xtc++D7PXIYelCBUBpsVNRipMs9ClMapsoyZpyB26Oj4mhZ6Q+e20PxpFcGD+ej5jE6UoI/nwrPV8M8VT591mTtcEfL0CTWOdD7hE4JjacfLIdBMmXjnFCuIXcH7rPGDRtZReJ8Bq07XHfkcbkz3xbGNNFxpm8PZKU4NgFLZA4BrQNV9XStomBoelhD4Db/B9oOqDBLG5fRqJRY7wul+cTQGagB1xm6RmO0wbpGJqg5Ms6W07mhxhmdNbrtaEnkpeBUpu0907RiWktTAwFFPpw41Uh6+c5UO6paKT4yzismeNpPLcZZljni40x3MNgYSfeIqxUXC9l46tDjDi2pO3LMD7JxKA15Xultxbzc0U5YR9N6coRas7j0AXM+YHJAGS3h+BTJOX2sqJdnmrBQjMEPA+dWYw4DqT+wto5wvWD6AzYtqJzI1wd1XijDkRIL6njAtBZdM0oZzNdP5FgkR/TQUaYVNc/i2G+kraocTiIDanrqKOBUTSOq78TEpDXKaKrz1KaV0f44oVJEeysxU2YDZvMsj+k6CFGSR6wF69CHHj10qJdn+PyZMi8oa4Upvd1Q6yJZqHk7369fBfQeD5ISsLOcmwRq14zWpn3bo/fv7USFUnA4yPPsTGhKYpDaHqNiEH3rbqrawen+evA22t+fY2dN32el/iwP+1gf63e4PgDqP1s/I71fW39PB/SeWvz5uf4eO/prz/crhqZfZVJ/PuX6blz/ztC0P8ce+fSDYqC+Y0iTnJtSP2LzWqFswPWVsTTitN81q6LfFOdsqQIKa9q0qUoA6RreGFJJoFFYWynKoLyW3nFbWeeyjePrK0FBragibvycN4Bdq4Tv10oOhXksr/mtt4sAV4DLszj1nU3MY6VWTd/DGrT8t1QEzN6kcartFP3gyVmhlGNaMnE9kqO4udd5xpjMfcybE3+gcZUlKCgtFkWjLbU21NyQoqUC81JZ5sIyi0lsCZrrVFAYCguZSOQALOwMaeGOtEVp2LSnsPCVQmTGoeiJDKdKyIZxVjTHhNYrt8cNZz9jtWWeFNrOaGeIqcPUiK2J26jpmkrnK9dVjChfOoUtlesj87XRDEeJVZpmacTqTprraInV8Ol/Fd1gS+SgA2VMeKVwVfR1fVc5dBnjDXNtcJ8a1kdhmTWmJh4vlaeTNE+VOpHDlW//9iDXCKkSClSfsdXx5QzKGEKIRJ1p/CfaNuG9ZQ7fAGh8Q+ckFbbjCY/Fp8wlyr9zZSIp+RfvnMdUuVtqXSJGxVIsrVlxVKrvpcc+LuRc8QcvIgvjaYyh6MQdB/NET8VZxxIcyj2Y1yvfx5FT2xNc4X65UMfAl76l96Bud3LK6JykCa3pwXv00JNSoWeCtuGoV2pS+DQLGFwDNSTM0JLHheoaTFyo1WJVxiT5HchLQrUN+T4RpwgvL+j5gTqfyDnSdBpzOJDaAdM1cL0QteV0f6ZOM+k+gbUU42QEfzpjW4vOEdU2mPOBugay8qiuJV0eqHnCLCNaVUyJlMNR5D7GslwuZCp+XWj6Do+km+xaz+q8MJshokqWr5csNabeC8BbFug7yhKo2mwa9Yo6S/OTmqfNTb9ukU8djKME9A8DxXrUqaU23QaMRX/NprmnFJSzb3rPeQZlpFlKKfRxgHGUm/g9PqppZLxfq4z3cxH3/q4XfR8ruG+UbfumNX1vmtpNWe+/9vN14sMo9bF+x+sDoP6z9XfH5z99b//aj7Tijwap36gd/dXX+y0bUX3nrN/PYReD/vT4V8NT2QWlSsDpBkh3zekrOK1vgFRSkPaA/vqarEIpqCIa0lf9Pxqz3fTvDVExinfA2K3KFEUxBmcKJcu/WVwyWlWWeWNHiwDSkutrpFRY3+QJCnHi1yJAdF3l/CuK798rcQmEsHJ5iaA8Rjti9mCgc5VlgTAnjIHLi1RLWqvph/qqzUxJQ+0JM4Qps6yFXK/E8uA2ZqZpZXpUjgfPMlmMShx6TdMcQQ+kKCC7xMzjVuQ1kybMmetst9YnTSawcucNmCrgATwjTGqPjPtlpPwnFiIjDdAahe8HpiBAtukLYfIsjBi7iBloaaB2OJVZ7xONN+RUeSzQN4V51Vhd0QTOROJcmbF8PRhOT5pprNwfAjZjMUTTgNMMdsHHEWflh0SnIlNNLz+PnU88fW0IpSH6BqNEl1tCRutMnCNfv1gGMworun7nr9//ijUtppwwJhPiFW0XPn3NlNzgGktRApitacn5wm19JpZnjrrnP//5j6Q5cbs90D7i+oY4F2yBdmjpjMH30LsKydCYijGJUCwqLrQ6CFZZZJSstEa3HpMixhvSFOkPlq7/zDStzLcb1hRSrtSk+TzAnDRj0fz5+AlKwc4L13Hhj6cDx7pgQiWGgkkrxXqiNqinJwE4MdIdDCwzDSssEy5MFG2o40TVBl2EzS2uwagC5zN2GTEaVNlyRksmv6zEywjThKkJ9fkTKggzPg4dsTtijaKMD+q60pSRagz5+SqM5rJpKoceQ0anghp6zKcTNUQSFmW0VKqOd8w6obTCOkU5nABIxnB7fmFNGbPOLE3DkFZ0Bdt1EIKwnM0bOKUUlJL3q9rNvXi9St1pEp1oUVZAZd8LeNSA9cLGpm2/2kKQlVYy5tdSEMCpESb2eKY6JywnbGMc/XoXXax/2wBPpzewuVefgoDYrnsLevYis0CpLUFgfft415++D/Z/z6ru1449imrfw9//+Vgf63e8PgDqP1vvq+R+1gvB32dH38/A4e8znv8PAenr3292/bfn3QDm6yo/sp6vuaLbhl6L4jUetWyh9zJ5fj13yUvcHp8FkCqtxFC1AdKYeBvrv9tvUYoQRe+pG0NYyyuodkacytZIJqlWlWXcHPybCDYl0ErOO6x1G1lWahVnf8kyml+Xiq6ZeYZlKqwhc3uM3G4rpSqcC6zBM7QVi2YdBTAXXXn+tjKOkbax+M7jncE5uN/E2f78IteeadEo9WCan5lHxTxrYWjrg/v9O96f6Q8VQ0NYLJpEipV5Fi3t7QpFW1IofJs1mYIhs7ASucPGlOptKAsJAaxfgP8FAac3DngiPRbFYRjx1nB/VBrfYLvA/RJoPDjviVGRl4ES7mgS0wzWdqRYWVYwVK5rBCKqwBereUmaQWnOPnN+Mjw/z2Q1c3hKPPKBeer44iIqRJwpdL6yTIXDUDFKZB/OaYYvLc3J8JhWigqk28oyWTqnqKmijOIP50DnRlJ+MD7PBDWTy8I6zxyaQkFz6h2noyFR6XuLcZqjt0zrynB0jLeKUyNVVQ6NYrmMhLkQyshcKlRH02icyhwOHZ3OlByJSdM2Ctd6lsuCtVFwyRikdalRlKYRYNZYcinkkGnOHTVn0mPB1oRVkdt9IayBQ68xxqCU4XN/wMRMWEZiNXz2in6d8cqz3ldsa8m+I9pOKkTnkaqg6TVmGXEqop+vWKfg8aBYMdioEMiuoUwLZrAQM2YZsa1kc2btyWlhXhPLv/8Vsyx0pwFlvMha/viEPQ4syhHuLwRr4Xql09CEQJ4Dte2oy0ptWupwkH8DbeB0xA6eUipJe6oRY5cOC3Z5iDlLVwGc25h6fr6yxMwxB9TQo2pmXgO+64Sl7gdx9yuk+lQptNvA6a4Fvd8FqCrRyJeixFk/DCgjNxBqvMOnT5THKIc9PcHzCzquAn5jQjUN9csfhD3tBzkubeHLO3v6fpXyGj+l2kaOhTdweThI7NXGnv6sEX3NYd1Z070V6j1xsV83rP1xzL+//s7Evtee/kag+r/9n//X68f/9//xv/+mx3ysj/X/5foAqL9l/Wx2+mdg9OfH/b3P4V8Do+/PZX9epX44LdjG9bv7/t03RSn6FnqvleSa7vnR+8h+Z0h31Jqj6HFllLZh7q3qdGdaU3r7WLIKQVu5OMW1EBJoLQwpCNg0RuKcDJllFK3qOO2geS8AKBgtoLWiXlnVPfIqrkUaoFbRoc5BMc0Sb7Smlft9xZoWTSWGCozE5FB0rGulkvjrXybWZaLtNNZXSnREBpbFswQxSxky0yytSZfrg+t9JS5nfKNZsiWVK52b6ZojqjSU0kG1xFQZR0UshsdNgPc6Zy6rZJkWIiuBxDNvI/xMYQQiAlgHxBSV6VmwW3/UwUkEk1KG+93xdPKU0rOMX2ncncbPpMmgUkC5hVIlfsmoM0syeBKOkSsRRZFBuLa8JM2XptL0knH57bpQhu9odeE6KdL8V47tkTx9pvOeYw8lR4wJlBLJ7UB7PnL+6skp8nwdMXVknhRpiVjf8bg5zsdC52aci5QcmaeAtx01gk8Hcp0IQfGnP/egKsX1GN+QU8W1CqVl9D3fnyl64fPQkaOiKZ7v44USZ0LVRCM/y81woHMGXWemRZgu4xQmLKS5ox8cJi7kR8JQsaeGZVqhqeSyokPBDD19p8mPmRwSXmceceYvL3ec1RyaTAa+z5Fz11DuE1Z7fNYMaiWVwqALMXrc5yMZQ/I9mopRmdx2UqsaK265o+OKdQoVA8k2rw7ybL1ErH0+wzxjvNxQ1RDIVVNuF263B4+XB6oU1Hmg1sqh7+ifesyxp5iW8+2F0DSkxwNnDO30QEVxt9dcqJ8+SzSVVSgM6ssnrJE9JGNEKnQfUSlh5gd4L9jqdBI5jnOk60hMGaMyahgwVbJZVduSjRYAfDgKs7mxp9pb6mMU97/zqPtNtj1jqEUmKAUtetLDgOpa9PWZdDwSHg9SStjzGXe94VaJ26q+QXn/6sZXdQN+jRcGFDYTk3vdn0tVYLZR/+EgN+Uxvgb8o5Rc6TyTXwAAIABJREFUCzYGF2OEsd3d+2+hz3I3DG8h/u+vHXvU1PsJHLxpUN/HpOzXj4/1sX6n6wOg/pb1azrUfWz/aw5++B8PRt8/5688h4zq347bx/U/r31c/2NClpKWmVq3XvJtb0z5VSP7qlLYXPb7KdQqGtdS1BaQL05h3chmqpWcU1zEVa+ob9nXSZqc0lIxVsbyWlWmUZqkchDgv7v85/ktOsqoIiO9WlnnKmajIAaKaZK60pQS433mL399odaENg7nLN4XpllT1oihJafKy2VlnUcOfUfTanKBKd7QoXC9OKaHBjyxWrxOpKRJWXN7KI6dYpwTNd+xasKalloraUmkqqhVMT5EMhdiJVXDOMMtirwBMgvzpi8F+bV0wDeEOZ0Qh34PeA5YIKGJ9AbaXuKutBk5nXvC6impw9eI0hCnwJIOnIcDcQ3ys5E7MoqGkUdaqUxA2hjZwFJaPnc9f/iz5zo5vj8SrvmFx/hvGI5oKp3WaP2MM57GntE1EvQMh0AdDFk9GE6QloGUA3q9MS8ttShMyqzzhU9Hz6FNoCK1wstFEgNK0Rhn6dpPWFdpm0zWFec9nenw1mK9oWFFG4NzHpLCqoBrDlxG+Da/cEsXHD298QxNjzKV1moarXjc7/jGY+sK0XBZEidbUcpSahWQVSNLUQQVqGEmK4dTgWFZRMaxYRtK4Xpb0Wniy+dP5CAA5Xb7zrJ4mDNj+EZnKtVAbyy6OaGtJbZHYrWYmijaoqcR7xRNnrCPEeUsep2gWFLV1FLQ3pEeC5xOuGWkrvI75IhU3VDTii6Rxy/P3J9vDMOAHVpqzsxtw+HLAf3lM3EKmGUU6cF9FM324yYuf5Op80J9+iTkXY2ootFfPmFJkGRiQevIL1dhmpcR1Xi0qqjTQVhQ58jXB6yBxlTWaqEk2SuMhZoxTUs9nmQikrKYolovmlEvIE5N42sAvujgM8V5qKCOB9HspkA6HHiElSUlVNtSloU2Jk61YK0V8IgScKmU1Lca/UMu6Wtr1K5JKoieFV71sHKXub6Zo2oBswX5xwht96N7f5kFZDonQDbGN6Z0H/XvrVQ7cPX+x338Y7z/sf4nWh8A9V9dr+js3d8/f/+3bia/gR39m/VuLLRnl/7Nef107GtIABrBmVUIVi2bck35VbNa95t6vRmH3pOwdYuiUmIqKBgSBnR5ddaTRUNKlX04BtGQpiSvu9ePplgxuhKWikYYUqUUeTNCxShh9vMo1ZHTWPGukrJUgI6zJqe3hqrrcybHQkqJl8vIbYwUMvN0xxhD+3RgWRTjo3A8aO73TK6aFBNtZ+gPBkWhxsy6THx/nqAcmMbKcGyx5sAaLMtcefnm6axmnkZSDTT+BuUA6gsld6xhIseVECxzMCyzaF3vIRFZKBQilYwDZiAhgT0JYUoFiO7tUBLO/x1o8RgaGto2crve8P5B1xTGF7B6xWhNRlFS3AxtvzCNDoXF0QIdicSFK5krLSsHjswYenraY2T4HPnlJVLmwqdPkV+ev7MGx8l7tClYv+JNpJSV9lNHdIaaLvjO4W2lb1devk08tZ+Yk2O+JtomUaYVtOLpkOn7BaMzqnhMKLRu4DY/0/SglOfT6YhpNXGptG1P2x8YjMaqQtOBzoVGBVyNDH8YuF0SdfH0XeG2vmBrw+lwoDUWW2Z612DrzH3JzPML4FmTQpWEopBygsNX6rpliK4RaiA7hVc9bZkoy8Jf7iPnpufT0BGSYf52IfuFbDJhCZhppcZAXFemMXCwmt6InCCZlkU7HpsW0l4fnIYWCjRM6BJpbjch3sJICRbVeMJtEfCXI5mtR36dpb++RmyVprX6coEQSJcH821BHw5Yq6jGos9HmkNDGTrSLy+YzgvLlxIqrOiwSHrAvMhov+0oIWFNldf++hkbZzCOWAyURP5+EUNSzuhegutNa8lBmjjK9UENEU2haRr6dWaJUVjRnOm6Fnc4ytaVNqe7k+rS1zzSEOQcvcQ/VW0pejMhnUTfqqvIjUItLCnTW4Pqe8rlwjxPhOMRkzJ0Fs5P4vbv2zcWcu9WtlY2wB3M5iJa1H2M7yzcJonR2o1MTSPVptuNzQ+s6B7cPwzyGjv4NEYet+et7i1Vewbqe5mAc6/78f6cHyD1Y/3e1wdA/S3r57H+e5flzxEh/2zk8i+wo38jH/g1QPzuWCVE5tvSWsxH+0PqNv7fxklqJ1+Veq0h3Y8VV3t9NRyBxD69gtMs2kzIb+C0brKBJIA0Bnl8SmxjuYrWlRIruhbCZmjaGdJcFJRMDAJe52vCOsUybxmdSc5zGoWZTUGY2vtDkYv0qr9cApfbymHoWFfLqhSlXrhdAzm2tF3PNDWsUYLkTydDCBlnMvNYud1G/uPbgrdfSGmgHwrLNLFMhpq7LdC/Z56eUHrEm4TSHqM/Y2hYFsVjdpSiWGa5yMUAlxDR3IisJOEKgQY2T7mA1RbRm64Ik6q3pFNDzwFDoncOq07cxoGTe6AUPC4nGuPwnWJ8fCdSGdSJTI9GE3kQGDigiSybEevOgYKlcsXw+QAHn1D1zvd/v9Hbln6A68tCiYZDu+J9RteK6yAoy9P5M7b3xHjB6MBT30EqLKNFle9cnx+o1KHryjwWDidD32W8jVgNYZL//xwlTL7SMuWVLycpYDDqidO5QyXwKKwGryJ2CXhbaBqLq2Wrs/UUZpYYIFU6Z3BpxftKrA9e5gcuHymqMi0vqPXEeejQWnEJiWMr+aYxKAE8Q0e8X2GZsM3Css6M80qukTkX6reJ4lp8lzExst5uPN8e9M7DNJPmQOstX6rCDh1zPfBdRS66Uq9XqrU03lMuC39+arH3O01dqMbi60pWBl0zcSqircyJ3B/hfkdbjXYGtS64U0u6rfJ7/fxMeixE22H7jlgD2faY0wHz1JNzhMuIcRpuN1gWySotidwOkmF6krD6UkQXrs4nVCth/FhLxME6k0d5LGzHWSM1prmC1ZTHJHrPFFGnAy4GTloRuo5UCq5tcKczxogRaQ/H12GRbcdumXCLgHNipBpLMZ6KMJNKK2GZ0wrDQH7+Lr7Q0yfq9YpaVnTXkayFw5HqGwG+MYDdAGfYKk+XZZMQbGzmslCrgsM2uvdyDqQEaQOTe6rAHgFVtuiqZXkDkusqQHrvY96naSG8sae7xnSXjL139W+ygX0//+Hvj/WxfqfrA6D+1vVeh/o+JuTvmZ/2Y3/t738ERt/rjnYx5/vjfwKne07p62nuTVHvnqOW+qqVfdWPaqhav5VgqbeX2x8nDxH9WMnCtlor4fg/gtMtk5QCSUBqRZz8KcpxZZcg5ILWirIxqWEL8Z/HgqaQY0Uh4f3WKuZZYb1iDRLyH8PearS9tjEUNOOjvEoM7rfK45HoWkVYQKN5Og9cb5k1OrrmzDI5cgRrC31XKVnTWMfLy8S8Gv7rvy9473ncPF2TKVHap2LIOF1Zs0Wh6YYjCk1IhaIyWh/IpeXyqJRcCIuwc/d75oomMVO5EbGIttQhI/wzmR4BpvuI/ytQ6WnQzGhWNIXeVIgKrQJ/6C3XyaEl3ZKUZ+pDs3LDUggVdr3xQsZzZyVTWYlMDDyh6Ijc+NwuPDVwf5lIJXLunyB5wqMS44POKWw7kMyC6hzFRo79n+hsR2sTNQaaIZK2oHZL5nqL9CbjtGZNnsN55dO5oEtC2w6youpIwWB7izLw5fOBw+CppsMBJldap6kl4ErBzSvNYIBK28jNzjRbai703YF5NDQl03tPodJ2HusK4xjQTnMcNLlmJtUzx0lAb3F0fYsxRqSB557WZZbLSEci2kSYC3MKDL0nTysmt4x1plcPDlnhI+juyPPLN9Z5pcXxWWW6tsU+HYk4ioPx5Tu1VL6ePkNcWZaZUhfSL5bDqUXdV3xfyNVAjQTbodNMUfKedVhQrUNRpd3JQr6NqGWBcSSFQhrOqJTovCU3R8LQ4I8d5XHHKEuXAypmSszo+w3dNeSgBJA9fZbf6ZCFzPvDHwQfeYNWVdIvHg/KtLw2OhkDqu+xrRVshUh4apGbTnU6QgxoozBth0VJjFQ/bCkcdcs43cCpdRLWv6yofeRdK8V6qjYCGn0D3qNOB/TlGU5HKSZoO6o11BCkg7lxsteprdZ5H+0fT9vmtYHBnd00+lXvWa2T+JGmgaZBdw1cr+LUlw1RAv7nCZpBns+YN4JgZ0ljeLtONM0b87qD0JTewO8OUt9fK94TIh9j/o/1P8n6AKi/Zf2aU/+/99h/Nqp///gfBJ5/O6r/4aXe1azuIfuv5QKbgWg/ldeWpndhBHvDktJKWI8t6iTHIrDGKEoqso9qiXjSWgxTOVXYjArayPlqtbdHSTtRyW+gOG/gNWdhWOMqLvx5FIFrKrwZErRiWeTCtU5yXK4QkmFdJGJKG0VYJCdVSI3K9SKv6b1lniesA601y1woqcGbA2lpWB6Friv0vYCVNQljOz40L9+h0QfWcaFtDaoWphnuk6Z1VqKh1sDxaaaokWVNoBpyWgnpwv2+MN0CORlS1AQqAtcKgTsyzhewIeB0QUb4nxFgmoAjYOhYUCy0KBwBgyPmrxxth3OGcZqpFCw3CnGzOVU0MwlFYsGjSNxJPBP5ChhaNB0LkQsdKw0LnZu5fNdAy+ezp0yaJWa63jEcj5j+Ceczyxpp/YPG/ImT/4yvimGAzli+3zW2PJMCTGPE9waSxerM8WA5HivVFHIa6IeGZQatA6qsLEvl+KT5+nmgzhaqwzcKWwJ6FgmD9hZdFI2vNK0iJ806C+WvqIQ5o3KiMZrUOHKcGVxhXhJn6zBObQ1lLQcXyH2D0pYeMem49ow1FbuOzPdK6zKthls0vMQZ5ivJnKm142grOj4Il0I5nnEhcEqVqhp0iPzxqaF2B1ajCH7AGljDQlCOQVd0XGCeaeYL1Rpsm9AB7ODJiwCVnMH4Sm46GZPv0pocsY1BrUEapG4X6vVGdD3ZtuiaYehQhyPnU7857O9o42jDiiuZMs7oZUIfB/K0QtdRWjH95DVhj5IooLLEr2kUUbfw8p0S0qsBSKuK/vxJSEBlqHEVM+UivcT62EOK6MZByRLx5J0YsCoolamrjPx1WATwUSWIf10FhKp9DzWUJUpgftehW48e76iufWUn/flMO46M84IOK7QNjTY0jaf+8U8yQeq7t7F9DK97q9LvmMqcBQi3rbx2s0VGZQHer2P5EDbAWt+A5H5D/n68n7McvzMBG2P7OsLfWdJ9g/6ZyFDqx+99tEh9rN/5+gCo/z3r51H/r33/5+PeH/+PRvU/A9JfSwXQf8uO/tB0pdXfHLuzo3tckzYCWpVW4tC39h04lefN4Y35KJtb3pChKjEvRRnD11LfaU5lzF6S5JDuTU+v06qtQapEAbEpK6gwr6J5LVUUsSWWbRwurF/dw1NrJUTFPAkwdg4eD2leCqtoUC+3TK2RuMXEWGOI68hjgVIKefVbfz10B0PbVFIMPB4juaz88otc42L0dE2PGjyP+0wI8lp92xJLR6XSHRdCubIuI9Y05OC5P3fM6UGYXggxMVOY+E7iQOVExQIBGIEDkm0akFF+t/05ImaoTEumQ9HRoKkUGmYqJ50o+cItZQoTLZVCZaXBo8kbfaMoBBYUlYUZTQWOHGiAhQsXBhoGH4ghcL0ner7gORJmDf6IOzh8m8BpGuOxRXE+JnT9RH9osSVwHG5MzzemZSatLwSlqdXjtYWp43Q2nM6axoEbjvJ/6yyPSdHaRI4N2TZ8/brSqkqZHa4UUlwFoDiNa8DURGOlPtWpRMpW0iCUjGvXDDE8qL5gS+DQVKIx+Kg4uwZ6yy/jTHUZWkdZLYQHzfEr9AMHlRnyDLOh1kTnQFNYZ0U7R770PZcUsKuiLytNWFgymHUBJFMzPVZ6V/j0n77QdgO1c6RxYcmJkhXT95k2r1hV4XrHNZqyzjTGYewRUyI1aap1AhLPA/lyp6IxjRWQ2jfYnFBrJH97QedIiYnQPVFixrYO2pbcDvinHjddqUmqiXWcoBTK8wumb8jeMq6R1LViIkySb2q/nFFdK2YlZ9B9Q7wvEF4oIYmz3jk0Bf10xjgtmGwRcJonMQ+ZzsO6ijY1i2tdda0wpxVUjuLYNxq9zm8Ab55fx+7KCmCsKVNyElZzGFDeSY2pfafHNAZrLUMuuFIohwHbisbVdh1lEQe9OvTyuH2svutA3znyK9tI31rR+w4dXC4CVCuv31PxXSvUzrqu8xvYXCQ9gBh/HO+/H9/v+tNdm7qD2Z/H/D+D048x/8f6Ha8PgPpb1q8B0/fA8teOfU9dvpcEvD/mH7CjP2xIr3Tn26h+j4jaj1X6p/OATXf6TjtqpYeaWlFK8kMVAir3c30Nxa/lFWAaw6vmNCf5UyvC3GioWQxPJVdSFANUiVmIhCyjO62hZIU2SvI4N6NrzYWSNnOVUZSiyUWTckEbxTIHalm53TKlGCiOxhuuL2xVqoqQFJdLIIYHqQRyVjiTyNkQVo/WmpQcuToUhr4tYo6tlXVdiWnlfmnQ2jDPYNydWDL3u2YNhlQqVYnzXquFvo/UulAWMNmRo+X55QH5QFoKY7yRsNwpSNjQN+AJyS8dEWB6Q0b8CmFPV/Yg/oYeCcSqtDiOJjFlQyVx4Du38h9oCjLYdyxYVgwey4LG4YGWRMTSkVnFDMeC5yFMOoHPVJ46xzw3BBQH02L8F7I5UfMd114wphKjwqsDB69oWo8qBl0TerwznCe+/fLCkv7CGCZUsdTi6XXFmTNfvh54enI0gyUEWJMY9GoIYCpTCBx7OBw8OXXYElDzgncFYy1eg3MF11qMdjQ2oTVMjwpFwEYOO7iYII8cTU9nYV4tcwWrM65veTxmtPE8woh5WUhG0x0/0aB5Cgu+8dSkMCbhVaRkQ7yPuNOA/3Kg3gLHBYx/oDSst5E+y+/ReLlQMJjBczwdaZ7OoBy6ZIamRU8rcVn54i3zc2TOC5OK+FhpOs3JaDpVqUoLQ9g5jCrkcSErK6kV64qhYB8zKgby5Y5eZ3J/JFW5ybRDA8cjtevxpuIeL3KjN47oJO1LdV6wQ0OKkWuG1VtihXC/oVB8/s//icFoHFVKCVQhXkbqNIt5CiXsZU3opsXqQq2G+hAtap5WMW55DUlarlglf/R1rJ8LKicZ4Xsn7U5WtNoqBjneua3ZzlCXlaKt7F+n0xs41YCxIgfIUlLAt2/YNeCHDpyj+BalNdVY0AZ9Orztr/tGpPUbS7vthdVs+tK9YnSaICV5/zvjGeOPAPL9SF6pTQLwBl5p27fw/XX9sRJ1B7nw48e/dl34F3JQP9bH+v/b+gCov3X9o83g5x7Qv7ex/Nrx+9oB6PsR/35H/YM4FKr68a5ZTFE/AuCS3+68awFlREO6Rz/tLv1aqoj9t8fsLU0ly4ZqjDCdqgirmpPoS0vexvmIyahEMUSlUChbm1TO8r60rW+JLWshhbJlkUJWllI1Wks3PUhslHPwGCMpPrheF3JWzEul6ztutx5nDSHCNEojE3VlXWaM6elbzTjDus5Y7SixI0wVZwr9kNFWY1QmJM0c4S+/aBpnuFwS1i/M4ZnvoyWlT+RUyDkTg+HpqKGOPO6J1lZqMqScuL6YzQwWuaWZTGHFiNOaGQGlHQJEW4Q13Uf5OzBdkOrShKKhRX45WyqX/KDjiqewINpDwwMYSFjA4rmTaKhYDA2KCUl3dRScxA/xF1b+SktGM9GrnjD/AW3P/OmLY56+8wgznQnYViocW9eC9hy6RGsiditnOB0rtSy8XGdSGbk/7qhyxLgVSkO1hfNXy6enBtc75gVMWknKo1Qi5BuP+8jxVKgU7teOLnvwThrHSuYwQNMb4pzom0zrCzkrwn1FKUPJojs2KaJVAbXSu8SgF5ao6RuD0QNxDsTNgtboyuH4B4oBHWbGyxV/PuNNi8kVowLeQp4C1Tj8qYUSmb898Kpy/OSYrys5Rpyy2JIoyjJ3LbrX9J+OtJ2nLgVtMjkVmCNthm4Up/unp4F1TBQD1VpOjaE1Hl8iazLgWkyWyKmSK7okcBZTAlYX1MuF/Jglamo4k6ZA7STTlOMB1TbY+YHVijxLA1bJkeV6JVpH28i+MDcdq1aYolhjIFhH7FrUMoFznJzGNZ74i6QCcLtRtYzfdefRtpGWKG1hnKQYAEO1DqsyNSZstznR2xY19HA4UKPESBGCBN4vi4z834PTrnvVZZZF/i+KMtTzk4DTFKU2+TDAPMs06OlJzjFvlanOiZZVQf30WeKrTkfw8jvEsrzTP225pxswrLlA28jnT08iT3h52fSj9VWTugPpV6Os1q/76atUYW+C2mtL97DoHbTuQHZnA/Zz2h+3f83av72WfKyP9TteHwD1X1n/DJD+s8/f6UaBvx3Vv9+Afm2Es8dKvd6x1x+CnGVcL8+xV4fuhOvurhcWdXsrGzgtBVQt5C2vVKsKRW1vQUxJFWFHhTmtaJUpCVIWl36uMkjOWxKAzvH1rcZQSdit076SiqbkgjWVZZbK1GmsNL5u5qaV633F+YE0VvoOvn+b8M4QV8ftunAfC0NvmdZAUZbWa+432fjjlFjSCroTcHrQr0zzY9LMM/zyXROSYlkLyi1My4XL7cYynmmbRE2Fdbnw9ekzVjXEZGnsxLoU7rcza7aM05WQFwIDI35z58/Ir9dt+7N/nBHn/jMSvr9/bwQUJzSeEw0eQ2FFcSJSsMxoAj09lkgiYIDIygNHhyEALYVfSNSNY71geFB4AcS4c/AjU/CM6gufT3+kmpZ5+c5jfsZqjzWaklf6tsPXhqHryNMd+oJWjq9/tixjYbyv5LIwrne07nCqJWZDP0RO5w7fZ4wTA5zxhnlxDE1kDDPjcuF8KJiUmS8R3ELTPOG2phzXOpzNGKs4PFW0Sqxbs1gpCm0qaY4Yq2hahakBzcqsCglDYzNmcMQxY5TC6kppWygLaRplVN5WrMvc1xEbE0/nHq8Ky6QxymB1obw8iKHS2EyTJ/Kt4iPYLGLs3B9RxvHpqUN5hysrcRV5Y56DsLu3O2aZqE1LW0Z0tpw+H2BdsUMjWtDWEGqDWld0TeSiqSFiDy15nAnrSny8YELA5op/OhGXTMShvhwxx0Gc9usiTVIW8n0ScDreeSwzi7FYEiGDPxzJSUBkspb5eObYOlZV8bUSh5ZMegWn9f6gGAF7+tMTWknaQVmjMKE5y/Tl0GPSSs0Vc2zY74TV8SAh+fPCFnQrbOI8S1NUqW/gtNkC9NtGbqCbRqRGT5/k61UMlarvtgq4Ap8+CbtZZe9Szr5Vh37+/Ka1V9ueGtY3970RTewrEEybjMD7bZwvethX4Pou9kk5+6ZF1XrLo05vrx2CtE+t6xvA3AA70/Sj6en9eP/9lG1ncPfH/iOT7cf6WL+j9QFQ/99eu6bqPTP698Do39tw3j22ljcjE5ub/hV97uL9XVmwsaPaiP5MKajbxqdqoRT5eB/DK2RsrjazE3v46ZZf+l5zWova9KyKlIU0yLlSUxLzFGKcyluyZ4ywRk0t8r5zFN2kUYVllOOnWdO0IgFQqvDyHAkzZFMpKXO/QFwrKSzcH5F5WTEaXi7zFvyduV8qSygs80pMCWN6TkdoGwH6KVYyhpebXHPW2JHiQk7/wWN6kNbEcnd41xPHB2uA46lCDqTcorUiJM/3l0IpKyGtzHkmUbgRAY/8B1y2j/8CvCBs6Zk35vQLAmIb9szTlorlzsCFzJ9p0LQoRiyZSIvG4Ah4RlYcicK3Ler/gaYhSt8PkZaeQuVK5juKjOfA+fxH0vwV12oOnSOESLjPrOXf8O2dofkTNT2wqqDjimsMvmiyr3i78mnQjM8ZoyvGOqaXAE0PjBiraTvH4DPGRKxr5ecpRSBjFSyPhFYvnP2Vzn0mLwaMJZQHRQca19EdNcSE94pO3VlT4fIyUwCXI1q3Mu4vAVfBVUXnM4GeJlXSljc6vyxU18D5iEuKU16YUmKaHzgHAz25Gs4KlEvEsAIeV1dcWZlfZPzb1hnX6K3SdCIAc+OptqU/DwydlU73WEilotNCnCP5+sDGGdW26ByxFbQzNHVBZY9xSqYhT0/Eyx1lEkUZUkzo3qFTIN9vTI8rcX5Qxxl1PNAoRVkSmQZ9OmKOPdVY1PdvuHOPvt2l9S0E1HgnWMOiNcfWCuuqPeMS0EBtGqLz2JJRiPu8aRv09GCeEy5LxWxte2EtP53RFKxVlHl9ddrnWKhNi0krKgZhObWS+7HzWcb3a5DIKWteI5x2c6UK6xs4rfVVd4raqky3rFOlFSquqEH67pVW1PP5NSeVeUZ1DfQ91UlWbE0ZrBb21Oi3LTaEv5VHxSj7ZtfLHns4yDneRwGsldd8VJZFWNd9PK8Ur7Emzm3vs3vb//utdWp36+/kwx4x9V7WtX++A9L9Ln9vpfpH14uP9bF+J+sDoP6PXH9vTP8vgtHXTWnbkAScvpmo1Puw002fWqs8rlZhO7XmLYB/OzdpfpLv18prC1VBNGOvgJY3XWopomXVVr2eYk2ZFDfdaapUbUhFA0XI3KpewekylddzKKmQikHryhIUymiWqdDaRIoGcuXyXChJbdWlWdz7qbAGWOZMXBeGtiVlhXOwrCvTVAn5hXFKxLVSq+PTU8D4QCqJmCth1Tzunhw16wwqBXwN/PW6Ms+RuAqInqaE9ZW+L6SUWVRDaxXjVHh5OEq2rHHiW7wBVYoKXgP3I+LO/y+I3nTXmF6RX7n984Jc8RoONBgOQGJCcRDxBCuFSEuDoqjAXFcqdzwPMlcKA5qViCLyjMeR6BhwFDKBjOePHPuRnHru14VTA43rKFNFZ4+3kd5Czj19hVA8zv+CNR6rEyoFjqeEr5rbXRisoA3FdLj+TKoBXTWmeUbbhlAKQ/6CDTDNidYk6lzQIfL0STGVLJriuqKsw5hKiQnvCkObiXPAN4GUFv7oxuPqAAAgAElEQVQ6RtaQWZeFogIqW3oz0aI5HTu6Y4tRhYKl6yx9SoxrpThHf2yY73fyyx3tPY0zxKC554lYNHbOHJ4GhkazVgiXG4MVQLBMAb0uDAPSCDau1NYxOsNqjLCJOuPyTEkeVRS6JNIcSdcHdZzQXUtdg5QKHCy2rJJbahq0rtSmo0wLOa8Yb8lLpNYsusuXF3SJpPFCvF5p+iP6dIKcuSlL9R3d6QlzGuB6lZxcldC//EVY22lCp4DqO9I8YZ1BNQ1ZWemtB/TpCWMtS1hZVEHVQu8d/n5lXhPtNFNcK5mhB492DTqIfrXcpeO+rkEMk0pjigBG5Z000wEcjzLGn+dXM1StoOZJgJ/eck53cBqCjOf3La1qStfLlmkNahpRR3HEKyql2xqcQqBOs7CqndSZYq3scc6hhl7OTSGvt7c37ezkvleDJAR4Abcyso9vrKY2r6N35d0r27vvya8Adden7u7+/TX2etO9Int/o/vof5/O7Q1Sv+bq//la8rE+1u90fQDUf2X9DCD3r+2a0V/bTP4RGH2/3jeEvNvAfmiLer3D5odzKPXt7nuPg6rbiH83AOz5pTuTW7fR/ma139jRbRReZXQvL123UR6vNapZWVLaRnvakGIFJFy/FIWqG3O6VNh0s6UqUjXijh5lpBWnjDOiL0ypcL2CNhptWkrNjI+ZkirTVEixAV2xRpIErNMsQbGGhpgCYXXUPOC9ZRgchQf/jb132ZFk29O8futqN3ePiLycU9WlfogeIPUT9AMgwYAXATFooRZIPAkw4gF6zpQeISEQDJCaOmfvzIwId7us+2KwzCI8s3ZVnVYVUutULil2RIa7m3tEbF/22ff/LvN8Y10rUmmefxEYNeD8GSugpI2X10haP0CwKAxX/8LTw9zyFoPldH7Ap8Svv664IAhBE2LimZWII7FwOO8b4Gygs2lKJ5r+dKWB1X7/a42AQXBiokfRoYhIRj4wEFDMKCQ94x4fFWoBBjQGR2PALArHgmHGA5kbks9ULkhWzuLC5bwxLxBzZRAb3v8C6S8hD1xspeaZLQA4chcYh4KLa6uu1A9Mj4GSLaIboRhqrS0sPRa6MjCcf4e2z1jp8TFj1CMP+oxMGhNvlFwYHiync2PiZe0xfU/ODm0qxa1Mg+JRgxAJY2Zizdy+zazJIatBpY1ODiRyy/4cNbKvTWdYMyp6pNRke2YQERED9boBhY1ISZKuJCaj8VmSO83TZWI0gvnXGZ9XTlazbAKVYJCZfoB0dWTVoU4ngpW4mDCqo+sVUmRS8bglM1RBvt7It43aNce6jJ7ubBDBY4Rq+loyYugQwRHXQK0SJTN5CxQkIniEBPX8BU1iyxFOZ7QUFKVIfQuazw8PKCUp315axWnaUCUSF4/cllYTKg0VQf90af9vVEFNiWQ6yjBglWawBjsYrttCTRG1BrbF0+WMNq1lSZzPb/JKrSrl5do06YimCy0ZpUFYiygZafbsz3Fs+abOU0NqWyailQJ0bURe161liA5DA51D/3aBXYRqbU1StRardW7u+9xG6LUf2j71cmv60s420HhMrc7npjCYJoQ5xvd3zKVS7yP6fd8uUr9rRa1t2c7r2pjYynu7UwjN/JTex/nfTbeOxpKuezdSHWbXrmvHvNeWvjVY1e/IhLfzx71W9vhj/APWv/g3/xaAf/ev/9U/6Dg/18/1/+f6CVD/1PWjK7+J4X77vn+bs/9PAaPwN4+b87vu9Dik/H4U9KY1rbuWVDYWFHiTAYicvgOxpRytUeLNxVqPl1/KW47p288gJaI0M0Augujzm+s/78+tRGnTdimJWRLibs7aQXaMjYFzW3vd0VeMhoymlsrrlTZKzYKwgkwdvVE8LxEpDF1vSTniYkJp0VoaS8UH8FGxuATVcTplXIB5/gMpJAT/DLdGkjfMJXOZNMF1rD7xOiu01BRZSXHj8bGNJ1U+MT09EYPm2y+VmDK1apa4ErmysdBG+ScaKypo43tLe2t1NJZU0eKjwn6ff7brRTMDf8QSyWR6Lhj+ksgDHsGJQCbgyHgkPR0WQwYG4t4MBRVN4IxFoPgrOk4MFIzUYDPzVQNnOl6J9ZlEQGfJ5+EzcQvIISKdoxtvZDZiUAit+Pz4yOPwSMgXhKisRTXzVSjofsB2hr/8/YTEgJ7wm+dBC6qrDAiqyBQhOT/AdC7EpEFkpn5AlImoHDKuXJ40pvRcHk8IsfDy8kLOhhAzplTW5RljDKeLxpDoB0l/blWaMsyU0eKtQa0rwmX6Xu8AqtAp2VqPhCOkTC7w+ekDWlfyPPPykkkyoKvDvSpiSlw6kJ2liB4uF/TQ3OBuXtCDZBi6lq+ZEykkyvZKcpBNj8wZlTx0hl5FhDT0HwaSc+SpZ706Or9AUmgqqmaKMtTsmiv+5WuTk8uCPJ2Qy4bQimQ6kp3ItgdVMctMnU7o5DAlQ0qk64yqGXE5NcbSWMy5p2qLWVfmXBHnC1k2Ock4WGxn6KzlkjyRgvu2oLRGdyMaEKcJKSpCtTrVElqdaC2C0o8UF1C6ddcLJZGKlvl5OiFSpJb2fhZSUFWTLQjbQGC9zU13OgxvmlNKaUkGQlJs31z7w4BYbi2TVYr2FtK66Ti/fHkDjmJseaWlCsSnT+37es8hVartXcY0BtWYfbS+A8MQSDHitCXljO46us4ivbvTqup3fazR7+zoIdu6q58WUoC276zq42O77ahBvY+bOvb8g2U9GNX7itP7lICDWf25fq4/8/UToP4p67dMT38bOD3WPct6n2X347F+NFwdDOz903G3ie0sKHfRULUFibavy64d3Z2igncQW++eP6OoAoTiLfKFWvd81N1df7w02XrvD8NDzhBcfqtBzVVSSm1EBArIZJ8ISbVw/pqJqZmoCrKxq3q/jULenf/X1xbZU4VkuRVCkhTR4XyHkhWxExbaKkyOfHldySmwLomaLd47Yv4FLQvfXhzZL9yWFS0/oUXAbRoXroyj5OWqEKLj27OB6ti8puSOyweFd9CZR5S54DfDl18KImfSJrkSCDyzcIMdHrbR/UgDp03i0D4fjVB1v60xoIYTlhnFgOYvSRjOPGF4IL3FQxUCFQ9IKh2VSG65kxQyioQlsyCQKATQMTAAG5321PLAzQUMr1gyGzcShQ5PLzy37Rs9kU5MDJfCLWcoGtVbfvf4mU5dqPoJhST5V6qEnCC6yEknPn2YMKLJf8sc6Uqlao0yhbgGTF/4+ElTY8UtuZ1XRaE6OKmebtBoO2CMZhCR6l/498+/sC0zpvTIrrJunqIEIc6M8sSoM0ZkSsqIcSJKz/L1K6JkhKiorFD0WCpSK8S88vFi2lRXF87JM4lIXHIrhnAzQWSGJDElM05w0xYnDaenp/bbXzdSKXRTT3QvqC1RY6Jcb7As5OFMWj26y0irkMljBo2yBiMSWXb46tleI1SYr45BVIZuQvlEzQE9vyBzRJSMngZKaGUY/WnCmZ5rVWAsMiwMWtN5jwkrWmTK3KKj5NgjCk1e8OER3en2HvORQQ/oh6HV+WrFMPZYUZuu1C3tjfW6Yoxt73trkVoickQYjfZL20ZiaFp0bSmrQ5HvwKmA4dTAKbvMyIdd+y4R24pQDVzVpRm43kxIO4tYERSpKN3Q9rVxRFxfEdPOlubcZAJ9D1+/7mzpXr8MTYv74QM1t3IRcT630b5WMG9tP7P2faq0j9tTjFyFwpWCKIW6LIw5ckoJPU1NK3yM873/nj099t1jFG9MM2E9PLyP9I8J2w6GvxvbH+cHpdqx74Howboe62fu6c/1T2j9BKj/GOvHkf+9sP3H8cyxds3obx7ruO9xZV75ftzz5oJqx68xvRmojszRtw1TvrOjjT1tuaPH6L/SNKBVSKQoVAS5QMlpZ0qaoeoAzzlDSI1B5ZDYpoLRlVJkG+u7TMySnEuTXVVFzu3YohbITYeacwv+T0Xy+lIRsjEn19dKzpIY4XZr2lZUa6cyphIDbJuFuLDcPCVK3DYjzQ0jRMs83Gia1GApeuS2OKSuCDnzy5eMNQp/U/TjhZfXnmnaUFqQkuA0PVCi5Ne/fiFsklwMAcONykokUajfsaRfaeP7z7QR/qf9b/SH44+93/eE5ImBDkWiYBHMTHu8ftiDqTKZSCXQALwFAhLLgEXyyo1CITPRxBJXND2GiOAXOhJrOtHRMyKJBK4EDB/4SCEjoDoEhe4MvTGsRTN2v2M6F/p+IoaOFFrskkISckQHg1KFh48JIRfKbcXFAd2plnNeCloGYtWcHjSDSQgU2cfWG19Lqy7v4HQx+NfMyVqGMbN8e+XLsnF7fUZZAUaRQyHIQCJxMuDj/0sVF/rLhalI1PzCUjIqKzrTMjRdcpRYoQiUNNBb0pyYkkOWhLXw+uuGqA4hMtm1GKbxMiF6xYpk1hrZG6zzSGUpusNmhw0RnxPrX/+BDGwxI3xAJTCmQ6aAURI5WazKiF4jQ8T7DSckfRWULdCPHfN1RrrE6DwqOGTyqPOIQJB9i1dS55FsRow9cbq9QHTIAv3m6Mjo6MhryxGVXWP9azdSOkNIHn8NaAH60+8xUiKrZFSptS8ZhXh5RpVImVdylTCOLZbq0gCmUBKRCzr7ZohSLUc5l0oNCdUbRJVv4FRMI9V2iHVp2s/NtVD+mBBubgypko05rXvV524wEt41SY2QlGOc3nWI1xfkeXqb6gglKdMZ8fIM1rYc1aOa1Bi4PDQWFtmA8iGDWlpG6yHDOnSuh2vfV3A5M57PiMcHUIrty6/Y8xmdEnR9A5ey/bxv7OndPkxK7zWmff/Okh4j/Hup13116bGOcP7788QBZA8Zwv355SeL+nP9ma+fAPVPWfcg83BW3puhfkvEfr/J3Lv2f2sdGXrHY+6e6017um9mIt9l6O0O/Lf7VvHWFIXaWc/UtF8ltWMX5F492ipIlTmetx3zPai/UuPOqB5RVChCLOTQnLgx0pprNOQkkLo1OoWiSbEgZSXHSvDvbG8M9U0iICW4qFmXCqJN3jYPMSuCjzy/BFII2M5QsqE3khIq12+VnALbLaPSE1oKuumV2xoYpp5lEdSSiakj55kaFJgry3bFh44an/CrQMor89zz6cNI8q3yUNXEtq58+RrwORDJbPRknrjR08xNR37pCy2/tNJ0pppWV/qBxqBKGnDVCDo0Zv/vVwobBo9BUBBseCQCjWFrIV8MGCISh8Mws6JZiUgSmg5DD5zJKAQvWBYKgVcsFwyVBQkkMhbJiRnHRs8FhWG8BDCCSOL0cEIpjyqZ4gdqysSUmHLB5UJNkSocg1qQsRJr5EbhY6dxS6U/aagaauLjU8EUT6qK8Lq183RJKCOZtKezguIkT6PHSMH8y8yrT5SseXh4ZF42vsavpNWhtOcvPv+eD4+fkTFR8sYleUY1sKYMMWClQpRmtlEDLH5DDIbiPGKLDBoGkwhbZL0GargRUiCFilMgJ0mYOqKS+BoJfmOtGTlYHtKCVQrlV3h9bddpGV62lZIrnTH44JCiMIwWZST9JCkuoWsEo6lhJc8OZwdqjfgvK35d0SFwkhI19ehhaCW1XY/se+owEqYH8uLoXr8xGEV1CZETloCYb+TSRvDCbS2SyXYkDc9u4bpFzPmEHE4M64KoCj0ajNH024JcCip5yuuNLDSIQi4CMQ6IklFj00kamcmhGbdq1wBsjTs4jc3QJDuDuJxb5qjbqGmvMx36pjGVorVS1UL99tzYTGOaNtO04xwO+XJ6aEZPoxHL3MBpLYh9n62nE+J6bdvksjbd6TQ2Q9TUAvirVDCdGqtam3b+u311GNof8aguBaKQiN4gxhGERKbYpiYptTSAgwV1bs8Q2/dz3dq93pqolGqpFaZ/39unqT33wRYf69Cr3pMR9+P/HRB/R3zcn5N+rp/rz3z9BKh/3/pRe/qjSx/+dmb0b5MG3APce3b1ByH8wYy+ue/LXRrArrVCvY+YZM3UdPd69tFWiW10VoXctarl7aK8Of9B0nSfx7Ebs9py/4SolCoJWyH5FnQfw94yZRWlNJ1pcIXoC941o1QWcg/fb685ZEVVO7srKtcbxAy1CnwQbFGSU8a7wJevM7U4Sq4svtJ3ls0PuE2TI1xfPZurWAPjBM4piip8eV1QPDAvmm0JxGIY+sK8rMQc2G6f6NUZSYdbX7h030i33zFOhorlNl/5468LlUpg5ZmZxErmRGNGD+Z0oLn1B+CJpkPV+9cjDbQeJinPiMJQEAg0HZUZjcZxonmNM5nAjUhhYkCwIlAsGL4R96j5yIZgojLspqoXOr6iWBCcKQyMOATPBDwguGCpuwhAEDmfTpzOAylZcvrKeHZo2+EDpACd9ShTEHkie4HyC9P5Sq7Q2eZMrzWTVWargnEUpFiYtGd61JACicamKyMbk1oLXVdQVHQOjEN7D61LZakGoRL92PPtGghxI+tAGSt2MBgluKSMMR1ZV0QSlAQKQS2tOEDZjq3TbOsLNkW2ReJFZdIC7TxODi3wPq+sPjKeL/QneHzq+WVzfPWO0klkqSipIAgiLyDA1j1/NUSUsVAlUnV8NIA2KLeQBkkaNapGZhfRWrUO+5ioQhNzpqxX4rKQ55UQHafzhTIMdLI09rHrkeeJZEfCEuHLM+I0oZInrxldIzpuyBRI3dgMSTnCxw+t9YjEt23mS4bu6YkgFTInXkLkdB6ZlCA8fyELwUMKFKlJp0eEd+Th1ICk0W1svy5oEsWlNpHoevLiqLmgxq6xq7pDTkN77TE1zWndjVBSNHDaNc2lKBluu4605JYnutcsMwxt27w8vcmVRPDIh3MDp3I/TZ1Ob0xoDbGB6XFoTOowQtdyU+s4teet+/Na2x63G59Eye8ZpbVS+wFdWkRe1arpgpeFai3amAZOdymA0Kqxo8fefwDTY3wP7/rW47Z7E5Rz76D0YEAP5vSQAdw3Ux1GqvvEgfv1E6j+XH/G6ydA/VPWb+hCgb9pbPq76kqPWJF7nek9K/tju0jO746lHz9qpcT89rzHSQGtoOTdSPD9/Wqp1JobG3qXuVcKbbQdJbWUdh8h36oDhRTkBD40hgWtiWmXElCoO1BtXgDR5FmmjcobHGm3xwhS1Z3ty1xnSdp/JcEV1gWomfVauC2OtM0Y3aNka6H/9Q8rvRWkfNoLATqU8ZzOkGshicg8Z3JN3Ob/h9t8I2fN4+Mn/BaJa+H2ahi0ZLkunM6BoW+msdNZ4ELm2xfPdfsDkS9sjCxstDLNZmhqYfqVBjoX3huhHmjAtOz3+5UjbkqSkVQkAknForBYNjoSbrdRGTIDM5GRDQM4KoZEZmalYtBUHJJA5pWeJyxl/7fHYbnwCUMgseLICBY+MO4GqzPaFsYpoeVCjpZ+lGjxQC8tcWsMjswBkQpylgxCMujE5S8stwUQKyFKtCnIYOmtwoQr1Tzw8ZQwvWqmoQJWNxBiVEXXwmgixWUuHw1GVpIwJJeIVTOOlW+/znTFg6z4PvPBGoxsVaHJb6ShZxAQZoftT+jU2o4sktQVwjyT4gzRMYiRXmRUjbjFcauGi7oijeJWNfJyRj89YLt2ETiqwjpKtvmVKgwyRvDfCCXgThcGF6hdTxGK4mIz0UiBzAlz7lCPHyjLM8vmSV2HqgW/bUQ70LlEp4B54eX6SucT6jTwOF7ae200FDsgzifkNBCzIP7119YMFT38+2cqFR09Jm1wOpFCQpHhPIE11JgwKjLHxDw90FUYatOcf/WBKOGjW5lC0036FNikpsuVqgVlOLW//dAjo0eWhCRTfGzh+iG26KphQOXYNKfUBiCPetJa2oVL2UPy0553KiUyuOZa3w1Cb9veESeVC+XxA1UZasrI1LJM2xa1T6jOZ7he2764rtDfgVPbWp1q5c3ZL46qvIP17Fs6wJsc4C5tpSqN7TS91qyAWhZqzvRaY3aT1jspsbOYeWdg76OhzN5QdYBKId4bsY4J2f0+fj++P8DpcV6pd8e5lwLcP/YnOP25/szXT4D6p67fMjgd34fvHfk/AtV7tvQAq2/60jt29tiEZMsKRIo3sCoE3+uYxPuGV2lazvrjBgeQG/tThSSnNrI/TE8lNjY0hwKpZagezCmAUO0x3lVSarmoKezsq273rfuIOhbB5sFYyKlSKjQCWBCSQBmB3wrWZp5focZI8IKcKvOtvd7X1/aS3bKRU0ErQYowX9vv97pUrIaYBNNkqbUjFc/mHbfbjKy/p5RE9F+QZWXqLqRvIzkNLK8ZJeA2J8bzwtW9cpIXBvnI8scX/jAvBDwrN1YcK5L6Zm7qaaxoTwOoiqY9ve1fO9q4/3Dy3wCJoiLZkHxB80jHGajMZCQfqEQcHRrwRM44HE9YFD2w8g3BjCTvr0UAG4obgkTPE5mOxCOaFwyVjbyD25WBjg2BYuTcG05PPa8uYsSJx8HSGYOLGul6Lr0ibc8sS0T2E0p0XC6JnF8odUDKEyImJAoZYBgMYQ3o04mPl9SSHFykxPJ28WJqYOrb/9daVs5/ackusiVNFBrhPFIUsu7oTidq9Zhy40F6HuwJWzVVFLZ04+X6iiBitMXEjOgMXUmIEJpjXVW2kNDXjfFB0YmIWzI1R+RDT8ZQThNGFJR2GFWoIVMVqBQZUsItiQ95w1oBveT52ZGEaW71rTGOCIFOmWTBPp6QfsMqz6xBpMSYFbpvv5vb9RUVHcol7LZyspZuHLFkhqknGUUYTwyPj0gtCb+8kIRBBYdYb21LcCuKjO41RXbUVFAPJ4TRre0oBEyvyf1EUArxfKWIQunHtn24SF492lqE21CDYa0CXyT28aExmUqhZEXO1zcTXq200XZuhjyURNb8xrLK89TG2869MaJVG4TcY5n28bRcbk27M47fu9y7d7BaThdKbVp64R10tj3PnhgippF6vZJCIMwzseuwWmK1Rmvdjg0NAGuN0A2ECre977NhN2Qde/aeg1pUa4zSpxMnIehTIK0VfTphpEIf4fp7KcDbmN4Y8L4x1yW+u+1rbWA4xneWtJR3berx/PIHoHwYxY7zwPH5Xj52D05/rp/rn8D6CVD/1HV/tXpsEL81/oe/qSU9roKPj/ur4/sr4x2M1sp3V9vi0DztV81Nd9qeo5a6g9O751fyzQBVdqBVQkLsG6IoDejK3QTVAKxq41JR38Kmc2r60RRBSLFnogq0aTqvWhpwzRk2B8YKom8xMd4XpGrgVquKu1WsqXz964JUAr8WUhKt7a8Wfv2lgipsWyQVT66eGDS3q0FayXJtDUkutZG+UgrqxLoU/BqJt57kJLdbYFCPCCGp7sy2KkKSqDKSgmccXoi3bwxjpS4JXy98je23tHHBI1ioNO2o432c3/P+drnRNKjd/tnQAOrj/nfxGAYshchCxwp8pnLGE5EsrQWIM4GNQkGxcUNyohCJLLvudOPXPXL/Mx0Ks18UTBgchhMGiaGSWNgQCM6A56nVn8qB/vRKbwIlwEn29FagS2F58dQQqHkmZ0VOGWM0gpXhslKsQhd4vWVsjkg5YkpAGkl0jg8Xw9RVgvPEFCk5YktisArpBOePLdD+NGSMEa3mNgbC4hg+KbbpDN4jfWRKma4v6NyzqsgDA8NkCW4mbYVBGaZpwgiJyQnxuiBKYqCAC03ilx2rzsh1Zi0KPWpMd0KMj0it0SJjJNyS5XadMUZRgsdugTyvjGklkahZUl1FC4WMgZSbeUdlj7Sa6TKg4kpyV7QRuJCwNaO1RqZI+HVDzDd0iqSUsd3EMPSUmpiGHjNoyjRRtaY7TdTXK0Ea8uKQ6YaQNFe+3zCDRujmxhdKIvoO0dvGNAaHPI3kbmhTj1wxuhUBbDkjt5lye2XMmU6dkb3BuUIde7TumsGo71DJtdzWkpA1U0zX4hpSIOsOSkZ1TYgip8b2vrU2xUAVsoHTdWlAbQdjcp2/Nw7te5zYL7yrNhTbmOmaWmsXttWpHlnL4nyi3BZyDMwvL2zGIJXCAX1KTA+P6H2vq7o9FtnyZL8jAKx9Z093cFr7oV1R7/FORoAtBT5+bMH/OzP7ThyI9/38kAgce3rXtde8h/gD79pTaL+XZXnf5+/3/QOo3vsQ7o9znCuOc89xLvrJoP5cf+brJ0D9+9ZvmaB+ZETvTVA/3vYjaD02pmNjuzdPHZvPsVndj/z3Y7+Zonb2QSj51jN9xEqJ3CoTS27HL5m3nmgpIdVK9I4QElJqtNRopdp4an/+IhQxCWIWVCXJhTZqtOLuR26O/82L3V3fxvl+aWxD3CpKVPxSocK31zbOW5ZmllqcQorKt2dJkYl1WUk1UGolhMivt1c6O+FviuB7pt4yTfsoOiVev2W0hHzr8VtmXSN9J9iCJvrK7VljRGJ1Kx2OTgr8Bo/TX5GEYA4XXgkUNlYmFiT5LS7qaIS60gBqoY327X67ozGmB4i1gNzH+c0glamcUGQ8kWdoqj4kX5gJKHoeUPg9musJjycjd5icWPegqRmDo9IzcSJwJjBieERQ8CQcgZEbPZKE5cyZD/1APwlmP7DNM5fzQC8h+8S8VrrRIq0gRc/LbaHrJz49GpJP+LRg0wOmG7ElEPBMJpKjxarI9CCQMhHCgp8XINPbStWS7nGklxZlFU+fDfE1srx4ZpERvUT2hnp1qLwCCd1ldNdqSz+ZjtdSie4bvvbUUjifP/NZ9QzBv8ehxYCpvumwS8aQ0J0g1BNLiqjHiWIkWnYYKelsRXYddXM8qMwmNfnLN0RI9ENPFz3LYFBFkUpF5IoyGuUKddTIoUNlj+kVsiTGaSKFjSoq2lpK2Ji3QHiZMUYQ141sLVU3NnA8nUAL4tQTTA9aMWwL4qoIc4C0tn75FKjzghx77OMIKbW64FP3ZvopPmImS3341OqFdRvzdyUyDCe2+QWRIiV4/gJB1/fEnPFmgqFgzIDpOkSMGD/vGvRCEZVVWVIIyApGGXTOqBv0dOYAACAASURBVN5QbYeeuga0nHvLRK5Ctminw+gEECNyWxqTeOgv9/1MqPa59gPFdC0DNmWIzfEvJW8OfzEOrbGqZMKysHUd0+mE7DuqECxdj8kZJRV1OrWmKWta8P+xX9faoqpSBNS71KrvW3SUbG5/jEFs7wDyyF8FwPt98mS+i4OqZs9H3WOrEKL9zEd74AEs+/7NjPXdqP84PxxMaSnvRQDHuede23p/Pvq5fq5/AusnQP371v0I5v4j3TlDfwuQ3m+Q9/e7H/PcR1EdG6O423yO0X75QZMkmuGp5gy1bf41l7cRXKmCsrv/MwrEPnaVlegi6zqzbo5aBSUV+mlkGia01u35lSKGivftuXIRb1OtUgU5FUptzKlbMkZDWJuhKkagQgpHnWqlxMp1brKFEFoe6rwAovK8KKCwrpFcPX034jZByR1CLmyrIG89vZJcTCTcAspIXhdIObO8eq5rxPuMMY7bt5ng4fmWUPyBbxSezESIZ9DP9FaBGnh5tRQGApUrAoeiomjgM9FG9z0NqN72P0ikBe6L/euj3jTSJABPe1h+3EOpBiqKRIfiRmakEnmlolgZ+QMzjwwYCoqFM4aVyIZkpqAYeUAiKcycsTg6BgSeSuX/4pmNQuBMJKHxLHRMPA0jgzYQKp1f6cfKwIhPirxWtAlIVbHiTIqRvgPTfWULkiIX5mtATwKcRJhEcTe20vHhsSCSIy4FWRWheKqqfHh4xAjJ5VJxstKZwKQlySl8N3LdElIs+K8BBERpGJXEDoEcVqQwbNvGcJr4HYbN/J5lWeli4hwCfdd0heL1pTnMQyDFhNagB4PuewKWy6kDmZhvgU5phrFjqLHFlj3P6LAi15U+tkIJayRaJvzDyLbN3HLBCAEhMnYj/acRuTksATUaTPFoEZHdCZmh5ooMDvflBeUSvga8GklSM2jDOPbo04R5GNFdx5Yr+fWFTnaILVPj3PSk3lPnBcYB83RChY1aLOX82ILyd4lPEQr7z3/f9OAhNFmObtpwGTMP0TFJQd5W9NAzPp4pPrJ1IyknpLJYpbB+a9tPqSgyyRhuLuJJTTueC50RPFjTCgEeppbRuQM8UQvV2KY/3da2f3UdLAsy3YHVlN5G10I3GVS1XZNN7GN9akVMYwPogtZINfTU12tLgA6B2HVIpZDj0ADaOCFCIMZE/+FTc/OXDM41g1ZI72H+O0gl7ywtUIRqDOfUpAqypAa8jzH70SZ1gMThzhh1EBbHOcDaduF0jPnLzqTea0wPkH4QD0ec1D1hcRzzMGVp/Td1q/fm3J/r5/ozXz8B6n/I+rt0qPf604MFvb/tbfx+dxV/rB241lIb4NyvkoXgO7doKXePTxmp5O56LW0jV21M33SuhZzewbGSUGIl5cjmPX0/UYUCKsuyYrRFquYkTQmcB5Qkh9bIYwzUmMm5SQxyLI1IEZWwNebWu2aeqkK2/bZUQpbcroVcEovLxJi43RTadLi1MaiLFyiTiV7w8rVQQiKumbhVKILL2dDZJjeQRrEuhXWJuO3Gtz/ObULmPFusBKd5dYKyKzzPsiPEgc8fB+ZNssVvfJknDD1Xyg7vNE1b+kIDpFca+FS0bNPCu/70df8saczqES8VUZS3PihBZSZiscATiRnHC6A4cSaiCChOrGQMhqGBeQyZiMFgd89/j8dhWEjAHyg0s9nCiuKFCQ38nglNh8CaG2X7I4WP2MeMmDLZC7aQMb3FToEUHNdbYcAhx2dSeiWsAmpCmMxWr7wuYM+Z4mBIkY+PFuEWXsrKwAP9MLYSBlamJ4maEzJmPnxWVDnhk2H7EinlhRQ3rOoYlIYUUfKVru+QcUHrEZkq5jSyuRUVClOSPEiB0Bau1xZpFDxaFurSgIF5mBgGcHIkKIUqESkEJSoexoleeGRyxBAJL88UtyFMh3q5YS9nRG4muKUktlTwtaJixiPoh5EuZ4zbsINEkdApoEcLi4OXF2oMcL0SZofqO85jT4iKkOF0meinEfP4gDxP1JIx8xVrDckH8tJqYaNzVDcjlWGYLDY7ZDaUyyOiFlRNCLG3wj09YkdLXn3TlOsOKSr4llOqkkesC93QIS5nFLmN0KthQFCGc3PHR4/wDkFFd4qiOrz3eCqdaMBJWMMmK77vuUzde3d9zq3yGE1dl2aSsvt4e57fwemxD+5A68hSrqczJRWKtg2QS9k0rTW36c80tQvub8/vY/FhQAsJEmqtME6UUqi1oh8fG/tZGvgUSlK9/47VFHLXnB6jfds1dvQAzjHAtjaAnfP7aH+fbgl1ByL3eKymPS3vQPMA6Mf+e2huD6f+YZQ6Pv84WTuao45zxz3DegDZe/PVzwzUn+ufwPoJUP9D1r1e6Li6hb87WPkeqP441v9R/H4A0uNkIN+/Lsh2+65RFXrvft6bogQV9gzTUkUzLQjd3La6WR+Egug2Stl95VJQSgu2D6nQ12aCcq6N4g+Aa2Sm+vZS8l6Pui3tOVNugDREdsNWMzEpWYlobtdMyplvryvLFvBOEGOh1ITIihIiWng2F/n6ZUHKHuc9zmVCinz+/BmrQwvMd5HkWxHAPHterzeUGkFbqhx5vjpE6YCM4cYgPgIdHz9pQnIsq2ZFkfjKNwobgRYPZfcPaAAVmrb0cO0bWmRU2b+37fcXNNe+xqLomBkRSEY8C4ZM+0uPrCSg4wGLR2OoaCDgkftQXyD2OP60M66VEc+GRzGQCVgCmUxl4IJhJhCJjPzChU9oBCkNGBMZdabWyBwUqlYECzpFvE9EmRDlijxpYlnx9ZklzgzqxBDbiD5tv/AlrXwYJMPlL5qwQUAIjq636HHEBIkSnnW98vS7M7pmlpeVQbTor/5keH7xED2lZvSgOXWBrCqlLAip6E0h3BbcEnl+nsnW8EFIqqyE0B5nE1gpyPaMVhV9HhDW4EJCG4ESCS+71lakNdbPVOdYrgupbvicKBnyGph6hSobSWdcjGybY7WSXo5MxmIEbDGgR4WVCUvTV1fnEa9ry+dMgXRdSXZEP5xJa0BWidUD/TRgH0fE02NzsH/90kDPshC+FWKoFL+y3m54LZFKQXDIrqIuj6j9rU9t2u86NYe/CJ48bwRtcUKStxW5bHSpaX9FaTFIwm3IxwspG0qCajuqD/DygtASWSKkiH46U1YHfiVp1eRDViGVhNOE1JIqaMzpoV3fo45qSA0MIhqDum1NgnCM9PdYpvcRv6A8PO01plBfr415lC0PWcSMOE3trffly3tffddRjaW3mpQSS9e3UH8E3fmC6frGfqbUjFeHQWsHj6KWVlG6M6eMI3W/ED/0suL2+tv6z4Mhne5MWDG+AXVKaUA3Z7Dme2bzYGKtfWdP7+UOxzoIh/tp2gFW70f9P9fP9U9w/QSof9+63yh+ZEXvHfw/RlEdLOmPEoHj8fDd1XEt9R24Huzpft8jR5+655Lu0U3H8QTNAVpLpSCoSpH370vBWy5h+7faj9VGnFAoMaJN18Dpkt/2X4RAiMS6ebY1tkJN1ZGTbj+OkKQ3k1XLWN1CoRTPsmZC1IhqWLbM9eYhGspWkAnW9RcQCmU0W4Bff5lZyyvLbcUHIEU+nHrct0phIPmRrjOsq+K6dmxuoehCKp5wy3x7thgtWYrmMlrmVdJ1hq6rxC3xyxJIWCKWb4xEbjRw2tFG+pH3mtIDuIb9wwPf9vt1tDzUdb9tRnFiYkDximMBBIIrmUjE4gh0GDIKxw2LRDKyUOnRO2u6oXkhsmCoKG4UVjZGMoaBAYdnJTEiOHPDUTC8IomM/J5MQCLpB8nUDYTZk0KmFxJjFSVt3BaH1YJzrwkVVBbU2rcYq5ToYuLjw8i2FepYMV1CD2dScrhUwBSE9tSyYMwIgyV4jdKvrF9vvLiEkhdsl+lqIb96BgWbDzycKrYvGFNZI2ifkWUl3gprDCzzCsURc8e1SrTI5Foxp2YzS/3A6dQz9jSpQqxooyBGUgWdb3QywpfXdiFnLMJfccZgPCijkLoQCbiiSDFg9UB86FHzQkqOPE4MVDoREUj6zqCTg6Ugrtc3jXdUHeX0gMqxXRBeHpC9xVxOyPOEWq+Ib79ShEKkhFwXgsukNaDChjcabw1jzmirUJ8vrDGjamXSum0vHx4p3YApnpoTRWqi0dxCwF+fyVtERU/JETP2KNM0mJyeSCGBlk0CMDdtpZIVmTyyM8het6anWqjjiIyZKiuiM9B3DXCVhNkNl4JK7fp2rNKamCoS6bdmSLL6HZQeDVF7tqcwLUS/ylafXL1rwDBFpFSImBAfP7S98Nu3Bup2bWcdxvZ6leL0+IhJmVQK6vKAGUYMFXJqLVXL8g4ITatffQN9pUDftyQGrZvutOuaVvZuD69d/w4Q4U2WQEpvx662a3KA3dEvlGxSgoOAOOQEQryD5Xu96T3rev/67vNP788XP55z/hE1qP/i3/zbv/G9f/ev/9U/2vF/rp/rH7L+owKoQogT8N8C/zmtjud/B/77Wuv/9Pc87j8F/jPgPwH+Cvgj8L8A/02t9f/8B72oQ7d0z5L+CDqPf/+WXvW4//0o59Aa3RuhKn97gH+ud1fRTX9KbXpVoVVLnMqVXBsL24xUYteqvjO3KdXmgpaadWnsYEkVayxKaNzaZAYlVygVoSu3eWFdPbm0SChqYhjPaNlMVC1ivrVNOZ/wceX66vBbYZszGsXrrdWrbptspHAUpFIJyTGWjywvgRI2rl9/pUSFIPLhcqZWi7Yjy9p+7hQtz0sh1Vdc/SM3fyOnB9ZlQsrMNSXOVOY1cJ5mymZ5dpYZTaWwIbmiiHQ0LemRW7rQwKnlPULqhebkb678Bkgz8Pu7x/41cGOk0ExRFlh3YBrxGKBy4oGNjCZh0WQKFY8g4XjE8oplQTET8XQEHIlKQFAZ6Pa/fOZMgt121WOQdAQSV37hgsDoAeLAvM4Yc0LVDWkE25qwk8XqzKMe0ULT6Uy9SYyICDngpUQqTa6Sp88nXFkY7Jk+X8jF4eozj5cPdPozvYEtXTmLxFMHvb4QfcJSoTjW1VBKJFGxneDyaKiyQFnZXhInVTEovA98ebmRVcLEzMlKBgk3USgGHqYnsp3QKpOro9aILyNCC7rkiF4gSaj5ii6BClTnUVYh/IYTlrJ5zNghqU1AIRQLms5ArRKxBqSSiJhQ1aH7DqkqJ5NRPsL1FVJCWUVSHTEptBBgO7I+kfsJNfWYQZHWlfj6hbVWzLbSl0zxhTg3/aY0GjkN5BDRncY+PjXQKwWUSlUC9fGxgcEQsCqTskR0liI04cuveLfRpYpOHmEEzliC0XSXUxv9x9xMQK6NPWRJaNEMTXLsW+pHarmmNSay0BgJw0PP2neoEBCxMFKwNC1mlaqxsMa8bVlyawYm+v7YiBsYle/jajH0LUNW21axvG2NORUg+6YbFZ8/7zVy2zvI7Xvq2Fhc+h76HlUqozbU095aVTJiB8t4/z6W77qdidxH6nvEVJWq3XY6NdlBiu05dzlA7YcGLndDk6ilGaOEaN8/QvZDeK9WjfGdcT322juQ/KbbPX6u43734PNgVo/J3PFxb8z9LVb1J7P6c/2Zr/+oACrwP9NA5n8F/B/AfwH8j0IIWWv9H/6Ox/2XtOLz/w74v4F/DvzXwP8qhPiXtdb/7R/tFf5ohLpf99qiO+3o2/jouIK+06mmnPG+VXpqrbGm1RFSGytadtCJUo0Jpek8UQohmnGklmaMEuK+qrRpuioCIcBvgRACISZkhcFYaq1IrTBK4zcBYs9MRSC1wIeNZQtYMyBSA6Gbd5jcailhz6kOkRwLab1xvc6Qe2rQWCH55dcNKRQ3B0ZU3FIw0rM9XxFFcvPPPM8LV/crMRuMsZzGgZc5MwyZ2xyBHrdV5iVS5DPz9gdceGZ9ZR/Tr0hA0xMZOdmZ1+ULgcLCiGLihQ9EJJVE041KGmta9o9vvOtOC22sL2lgVdDeKke8VNjzIltYVMQj8CgKKyuRAXZFqCKyMWCJGDQLnxj4SiRQEEwseAKWXaaBw7GSEXQEJBqP5bLD3w1H4gWLx3JG0GE4IXhGskDqWfE8igFVQmt7cp6T7rA1QJX0a8KVTNWvaPmRYXikN4pteaUzAnn2uLBQYsakT1w+PhLLFZkCHywMwtCbQsGRUkYFS7oKxsGQgmMjU8Uz0XYMJmOqw/qKCu1C6Ukn1Jr/P/be3Veydr/z+jzXdamqvbv7fc9rM4M0I5xCQAQJIQghTQAjB0YjzcCAkBwY8Q+APCkBEoEJYJgEgUYEQIQEksmQiEZikJCQA8aYY5/z9mXvqlqX507wW6uqus85YwO29NqnH6m1965atapqd/dT3/X9fS+U5rFr4qQqyxo4HQ5Y1+GGDm0iMSuwjl4HjIePAdI88ZaGjRm1LJh1wdsiFb+I6U+bzdgXEk41Uo7oZtFaEe1AmWd6VaVpKSV8TRSVWH2hLIHWFo5xobs0VEqovkMfetKSKQ3cwVO7gdofoO/xXqMvrzRlWMLEOq+olFhrYlkLbi50h16a3VqlZI3rPbU3UPLWCKfgeMCdjtTSMDmidKMoS+s05eMLqmTi5YpaZox3qM6JsajvwUnpQPYjlEA9T6iwCk7MiXY6YkqEsFL7ATTU3MQY6D3du2e0NvTThdo5XKu4prFexuatCAOp5EoUFQJq6Lg5463IiZoyN8aVN28khN/31Mskevm+34p8K0pr1Nt3wnyGIMBvG4W38XDPHe3728SonZ7u4LRsRqgQ7sBxGIThdfZODGzgro2HO5jOGTVf78yn1p878GsVY9Su/dwe03yHuOu8nMPou+YWBPwi+/WtSvVxdP8YKfXzWNL9c+Txti/H/4/Hfl1f11/g9YMBqEqpfwX4F4F/vbX2X203/09Kqb8C/IdKqb/fWvtFhfZ/rbX20y/O97vA/wn8e8C/9af4Qj+/in0c/+9jHfhc3L4D0n3z2/7knLlcrqx5qxNcV4ah5+hOEl1TmmCjPSLKcI+Zum1uTVpeEH0opchDjDCeWkNcI9d5ZlkCbIHvXdcxuh5tPcsmu9w+VlAajFMs10apmpylGao1IGemj1dGW25vd79vmjIxaHK1lNS4nqGuies103Lh/fUn9EPh06SoCq5zotbC67qQa0HZBdUlzrOmasV1yXRmJAVNDpYc3nPNP2FernwIhoGeSOVAZt2a6Ucq17iw0BGYN/jXU3EI2EwI0CzsgfryS67A++0v2SDs6Rlx5/9lhF3tkFipP+CJhKjapN60YDhTtvMMdFgKnkTiwMvWSfUMJCKGjrcoIpoJwwc8hsB7NBcKCosm4rFknnFYHAnHgKWiqFtj1MB3nOgJKDqeUBg8gdomcnG0MtMRcTnT1Z65rqzjQM0aekVR3xM5UFLlLz29gZpYY2SuDWcMzja6EhhVofeaA5o3vmJNYcqWuCrm5YXBZ5azQXUd6/nMwWXe2YyLBaMK6+XMsdMo7QjnlRwUnQq4oefoj7inAeePdJ0UPOQYaGSSK6xzIK6VsFw4NcX5wwfGlnkae3yNNNWzTgvNKVJMYDydKdhaGEaHPpwIy0LLmpwDrUJLgaZgVnDUib4W3qTMGGaG0CSNoR/QnSNXRYgGe+hQriMdnyQIPwW6+RMkh4kz82UllsSpZPIUpYRCGZ50RedI7QbU0OE6g9ONugRmpdDHAdV7BhQ2FvxoKcZStaG9nKXWc10p1wXnNXHoZBDjOyoVaqbpEyVn2surTFjS1mLW96CapAIgrK8qwpo2bSTaaRQA2KcF1La/2G0MHcSQhZV2OaZJWNmh+2y/UymKcUhvY/Fx3PSmivp6kVIBY1CtSiqBdzKWP5/Z4j3YY5qa25jVp2cZ829lAu14kkirWoT9NEbkBXCPe6pVnr+JeWzXmtZu+KzjXk+X+6gdZLS/79PG3Fqwbg1/e9B/THc2c4+SQvZoQriP93e96j4p29nTnRnd93BkT/0MeO7SgJR+Fqx+XV/XL9H6wQBU4F9FUMF//cXtfw/4L4F/Dviff94DvwSn220/Vkr9AcKm/n9f+1XvY1PU46jmMZR/B6M3J335fLy/mwY28BpbYwXG45HNE8GyLviNTb2df5MA1CznvGlKa7mN88U1L2MpraGEhrF7TWlimVeGvgcUrTWuS0LrDlU0uSmUUdtFesU6qSwlVvJ1QbVMqZrWKmGOjJ0XjN0Ka2qkJUBTLOfIp/cXVLtyec3kDPPc6LoT1wL9yfJ6gTlGStFUCu9fXlHN4XpNbZ7z9ROOkVobOj9zWSYOpqPliWn9wHUKzCg8cKVwQLGgeabQY7nS+AkNwxMzUhkq1aMT4sjPwIfttoZoTXdA+lMk69Rs983If5F5+8fwhMYwct6Uoh2OxMrKJuxFUWgsBCqWQM+FGYWlY+VKY+FEZaZy5BOKjGYiEQm80LGgGchYRgzDZsayBDoWet6hObJwxiAtQzMXNJ4Dz0DlwguZwIDGoahknOuJ2ZP4xFoaw/CMrZ7aVg46c/jmW0rrCWuhhLOIE/TEql/ILaJL4+jF4X9dGutcqdXgB0W1nkt8RS2Vp97wrDIHU/HTSgkJO1hIK6+lUiYwY4/qNWbs8MMRrxU1zTSXOc8NNRp0yhQT+fGPP1JqgbDyo+YZ+wEbIu2gaXlBGUdahVdepoTKBT1USla8edo0iteINp41r8L2N+i9pcWVoy2Yl5lvRs2hRvQGZHTNmN6SqqEoi306UIcDRTs4n7HzFeu1pAvMV1pKpBhQ60QqmuQOmHDGeEd9eqK6Dt17OgKlVhSa4zff0HWOGhZMha5z9KeBXDXtfKHOq7jil5VqPeY4MNRE7R1LbWgy1VoxkM2zlHKUCjliB4fSktmqLVTjb7WcRRnRdh42g08IWN3u+5TWqHWRRA5jhckMAV5nOBzQztxB1Tbp2XlANfQCKvuBmgp1XQSc5nxnTp9Owjy+vn6u7+w6aZOioZ6f5OdSBRh6D10PeWNOvZfWqQd9KaXcGqoIQfZj76n9KN934s5X0/W+Z++a0T2Oajeo7tmjw3A7V2vc5Ae3Kte9napWYU930mLX0e77+A7md7C6M6KPGtVHtvZx8gZ3GcHXDNSv65do/ZAA6j8N/O+ttfzF7f/rw/0/F6D+vKWU+qeAvwL8t3+CY79D0Mvj+jXgcwD6JfDcb/vy58fHfGmO2jcna0nTjGqN/bpYb9P8nDM15ttjWuN2ftnXJEi8VmFUW60yJgS0ESZVG8S8AcRSUc6gjNkqT0HbwjQXOi81qXVN6FawurJcoOYKCXRzXJcVrQ1r0Vjdo7CkZeF6ubDMK602zmcIoXKdA5dUqaESEnT+yFIU1hXW9UjKEylXmupYF0WnLcMwsyRFyxGVINSIK2+5XI/0nWZeF5alsMYr5821rvE0VjId34w9aXnL0hx/yIKn8Z4zAjoLEg21A9KMMKW7E7/b7v8JbJpRGeM3hPHst58PPNPRNjGBx9BozJy5M7FvabwCZ048MRFZqTTe0hgZuAIfUVT67QxwZCATed1i/A2FxIERxUrD8oZM40rlisNgeGKk8sLKzAsdB0YSiom4lQgYFIoD1RVU6umc57Ws6H7mYDpQEX864azl2T+jk2YKoFriyTs61dG01AAkCqfOMHrLeoG5QNdZ1Jrwk8eETEoN91x4m2b63pNToGTD0DVqXFg0rFVzenfA9ANWa6qvJNV4M1gY3kGc6A+Vmq6sYcZMC08t8UohzhPdU8fRNdTQs8RAyo2hg1wzc4WxHzGdQ+dA0plkDCo1vDXooqi2J8YklZZ1RYULJSaeR8tx9FClLckcerLpiM2gjyPq6YmSC/XTK7rLeF8hZfQiGmEVFtF5oriaHlLBqEr97juaVlhrsFrhVKRZD+++RauGTomuFsr4JOwsjfJ6poUk4DSuVNehDgdMLajDgNIjJw2jN4RpQcWCNxZdCtSMsUqyQksRwrDriDGTtCJai3Y9/njEd6KP1E5MSsCdgYxBNKd2K++YZ2HzjkfBR40by3nL/nROGqaUEs3pZZL9x0sTk7JGoqR+9J2wn7sZal3la9/LhfdhlPM4J8ztKKal1vW0JHpanBPm1NrPm6r6Xq7Sd4OWtaIr1VvmqffSfpXTfX8eRznmwdSqxuH2ngA53zjCvNwkAcrZW50rrd1+Pzf29JEd9f5Ocuyv7VFKsH9u7Mc8ehN2UuSRPf0iYuqnP/0p33///We3/f7v/z5f19f15339kADqN4h+9Mv18eH+P9FSSlng7yII5T/6EzzkN4H/4Bfe+wg0H1nRxz+PAPZRX/QoAXgc/5eCNYaWMy1L1mGl0VJCu3tv815lWqs8Tim1T+mFUeW+F2qrhXk0YrioTUxSzlqWgIyGQ4acWD9NeAN63KJilMLaxjLL41I1UBVedWiVWabMUCtGNdRSWVJiDQFlj6wT+L7xk9dXYjF05ploK32D0hqNxDSthLlxvV4JJZKWFac73pw0n168TBTDj3DKYtJb5qvCtsTlEihF8TFnND2ZE47IyisDlZ6OMH9D48BEQpF5z7z9s5EIKGFAPQJCK/cWqB4Bly/I6P9pu61yN0UdgcZbZmY8lUxPY7q5+18QwPuOXTowIHFWFk9kRlF4pvLKwIAns27ndxQaJ57RVGbe02OwGCoNS2DAbt1VK4WVRKFHE7eEgTecGBmBA4GIpWCBA28ZhhNhmSlcSfmCe1aocsLoI8dDIcQfk9ZGdJ6eAV0mvJ6wxjE4xRoXeq8wOjO1HnUdcFEx1ML7n/4U64DaM7aVd08e4srRKmxupJYJThGc4moOrGpFtULrDWuZcdpjmmdQiRQMQ3rBtoQKK+8vn8gt8U2pYBy+Nf7IOXKOEk2WE+SIO56oaKIfpPNeNRwJDCyXSFzPONdTQqDmRskrfvrA0Im5pTt6ct+T50htCt33GG/J/ZHSCdjlfKb89D1NG8w6YVND1Sws3mY0ZOiJ68Yoa004e/6H5QAAIABJREFUOowxlJwYneXkNGo4UPpegFpJYlTaGpG6FsnvP0BO1DXSQkQ5R7Y9RjXM2EkkXGkoZ3EloS8rrsmFZMvSjqG9jL+J8TaCj7lyrYW5NegG8I6hRPRa8DluyRwbO3i9QiftTiglTOOeKdp1t4xTibnT2xW16ETVONxAZT1fqdrSNvPPHnWnnp7v51RKQN0Wpt+cVJGqN8+SM6pFG4u1EpNVm4BTu7VWWSsM5a4h3atG97G4tWICc1um6WZo0ut8B5DOiS51H+PvUVW7nnVnO70Xw5m1d2bUmPt5aoXTiVu8YLe5/Fu7sa03VvZRNvBogJIPrp//ebFP7x5NUg/rd37nd/jt3/7tX/jx9XV9XX9e1w8JoAK3SdH/2/tuSymlEHD6LwB/vbX2f/0JHvY7/Ky04NeA/+4f80Q/G5a8b2iP1aiPbOpDjFRLkq/YO8c8TRIH1Rq99/hHzVKDum1Wu+FJaSUTo01n2rTG2G1ErwXU1qpoMUIpuBDxsTCdP6C0YVkrqnb4YWMpWsObwnwukjWaJA+1xIJF0Ypj6KQaMCVhrC7ThU+XiFYOox0fP1Su80JYM4f+SI2ewcHLeSXmiZeXK5Zn8uJZY8HqheNxIFw1tDNx0Rh9Ir6+RVlP0DOFiVS+5TUXCmcWLhw5EtEcAMVI41e40KFwvAILA8KKRu4GpwFhTK/b94V7pJRDwOsBuQZq3LNQBzoOGxzsaGQ0lctNGgACUi/AlY6RgCMwUCkU3uJpFDIZcUVb7AZhpf7UEEk8kdEbMDU0LD0zirBxtRGHwNkzn8jMWAYOnBj4Zovnz8ilwMqBk2hRVYfxGusstjW6KIEQdnjhumRimDARnk/PHAYNKXPlSk6FZhrmqGGF9RUOegUTIVlyWFmuHwi+8k/2Dpwmrg6NovXPDMeBzh6hWeJ5wneW2grGeow2lBRZ2hX9Uhi1JCzkNJOaxaaMshWTVgodnckYXTmYQgozc9ehdMP2B+pSqaZhVSOXKKzstVK6HqMragnU8yKmolZ4MiuvxuJ6g+0aeE0tBff8hH0+kvsj0Y/omlHnM2Vx1Dmga6Yri2R2xoRaZmlgGjvKeRIZwPhEb5VUhLZKbRXXOY5PA9r3NGNlNF4KmkpRDpMTOiyUaaZVKJM8B94LIO47NLvRx2JNpc0TJcvUpuUiGZ9KskR1XFGdxxhFBWmEa5XZdQyH0xaGX7leV8bOoPtewOm83IFYylLtGVZx/XspsdjOKNFUQ39n/J6fBax3HW0N1DVKCH+pkIPgqr2G9Lzlje4Az1o4HGRfMxr1dLrFg+2gstXN6JnECKXWRe7bXfs5i/FqC+q/ueudk7aoh7rVGzh9AJ6f+QOsveeSjqM8x371vx+ft0irXQKwExG7E7970Obue/gjwHwkMvbnf8xG3cf+j5KAL2MNv9Ci/uZv/ia//uu//tltv/u7v8tv/dZv/aJPr6/r6/pzsX5IAPUDP58lfbd9/fhz7vtsbeD0PwP+BvA3W2u/GGA+rE3D+qXJ6v7Dl47Lx5iQnQn4MlJqN0g9jnH2tTk7rTEc+57OGnJKWGux2or+lDvGbVZyR/c4mtI0qCamKFWFWQiVFhIo9WCkgqY01lrG4YAxjuma6QFnNTZlmBe8h/lSyEVR0eRmWXMjtcqyVrSxaKXZShG5TAuv18jry4zTiZezIy2J63qlZEU4f+L5qeP1gyOWxrooqJ6X84LVGa8TxlWmy4zRnbCwSZHCt/ijI62JlBfWpacwknndOuxXInDCEzngeOJ7FgYKPyHSaAj4HJB/SiuiJ125A8mMgFOHANaEgM3jdp/avloOGCZeMRgcPZG0nccDnxATVUAA7ZFABiL1s8cHjmQg0IhAJuMxKPRmuuqoND6QKAxoPDMdhcJCJtPxbjv2n2AELEeeeAYcPSd6CopCoHFwv0JKE8KJSrarSR6rHcMYqLnyGmdU1HRN8ewPdHlB0xjeaNa5EfjEy2WG941DHTn5EaZMso6QDTVdUceVt7qx2EJxlout/OjNO6rveZkWkj9g60J/7IklYYFQG/PyPeuykpcrfWusQyflacZjTKBrDZM0XS4UvZBCoXnPQTm+fTvSYWhrph82Aq9kTlpSFV6vGVcj5eUVHzNujWgafjC4p54SHc+2kHUm+Z6mFOObd/THEwEPlwtmmoWVDJGWC7ZE0IV1nSmtYr2nUwplFdc1sw7POO/oWoJicLXR9w777q1oL2uVQQoVlSWCqC0LXZ3JU6Cs4l5vxqK6jtI0xjs0ksSB96hWMGmlhiSGyJRk9K+FjaVWdO9vsU3VSC1n8x0rWpq70rq568HrSlYWloWm5KK3OSdb1LqKttM5cdnXB9DlHMpsgGoY4HDY9icH5wuladpwEJC74Snz3TcQI+rjBwGLl8u9xclIpao6HQX0traN9cc7ODVGyheMlvYr72gp3TWjXfez4NR7yTvd4qTIGXW93MP0UxJ2dTeCbSBRHQ+fg80Y4XgUAO/cnWRo9g4Yc5b3A3eGdWdPdxPWDm6/DOm/FbLou251150+jvkfAe7PWd999x3ffffdZ7f93u/93s899uv6uv48rR8SQP2HwG8opewXOtR/Zvv6v/3jHvwATv8N4G+31v6LP7VX9tgAtX+/GQ4+M0A9AtHdmbp//3DlvNeTohTWWomVGgZpi9qOb0qjjbqP9tvGYMREC1k27yaxU8pqueDeXirG3LSplEQNCZUbZi10yz3iqmnwo2NeIFtHVsLMzqGwpMh12sZcOVFz5tA1Qoi8viyk2eKM4w9+PLHGKylansZvmRbox8qHj2dK6Gj5hLEj149VgvNPhhCfSQSqteRsxCUdEoor83kgroprPAET582DHzGMFCxxsyC9YQECgVcCAhQVAjgV91zTebsNBIS+QUCrRUCmRcb6+3IoehSJKPHwwMDKh+2cGgHBHVDpyASeUJy2CKsPKHoahcIFh8HREcg4FgqGkUzmE23rh7qwYLlwJDDgGOhRZCYyDonS6rdbHd8y8oaeI5aEPnjitKBVh22gkoDcqs/ErFGx8ubg6K2Gpvn+DEoZhl5LT70d6FgJeUK3lXdq4SU16tlBjrwdOtQ1o2tjrZHRN5Zj5eh73Gkglspii6Q71ICaHck1VD7z1FlyyrSwYEpgXCfW65Unb9FW0xtDoODoeTKaliurUow18e50IuhCbvK39Y6KrZZSG8ZoWoh0g0UbTTo3upJR00RZV3QueOfpnwY6Vymp0nVg3j6RlCIdRuphxI09+nWmfJzQfaLFSI6ZFgTwdjpTwsLSMot16GVFW83Si5EpNYUxmtAKyViOhwP++YTvNSVI/qbuRV+pW6FcJRbLUMiv183lbjDHA60p6njE5Ch45XQUBi8FFE2C9zeQWM02rqahxmEr4NhG1jgYR2o/0krFLouwpLWgtQJnaEFvOa7+Nt5v0yzAdBxBC+DSqoFynznbm+1Fz1mrZJzGJMypFUOTTHEUquvEhDVN95F8CAIsN01mc140p/1WMaq0jMq1mL2akXG+UtwZ3tZuUVL0vehJ0xY3tTGnzXk4HO+AbllkdA83PWnrhzsDkLNIFPbjtRb5Rt8LON3D9R+PezR37ZO0R+bzMUpqH+0/ZmnvAHfXpX4JSB9H/I+A9fGxX9fX9Rd8/ZAA6n8D/NvAXwf+/sPtfxP4MfC//KIHbuD0P0XA6b/TWvt7f2qvKqVb1d8NlH6pR30EpftYR17Y51fA7c5s7uBWqYfjKvdNLEbq3h29sado6bgXVkY2KaUVJVXJQw0RGvLhCLQsjv+iJHw9VkvzWze1UjgHS1BkFLlWSlPEWEkpcr0GPAatDMtcieGKzorLOfD6MaItfHyfUbXJ+N4apvUbhsGyXivTUijVcRye+HgZ6N8ODN3CEkRfqYtB1cJ8PZFTos6ZmCdihJUDBc2VmcqPuZB4okdhaPRMJAqBSCbemp86BHwOCKQ5IQC0IoD1iIDLJ+7A1Wz3KQR0LvSMrGhhvKiwNULJc+ymquftsYWAAQYkjyED0rBj0RJyvnnxJcX2ghSOXhk54whkCgfc7UyKQMGjCeiNW20sG+Q2aN5gGBkZCaz4KRMomFY3qAyFldIUKV5521lIjdosthmeDydCC7QcMdNM112IbcZ2FbMmPlwaRa3YEmhY0jxh1YgZPH/p3YE6aKwNLNdXslEM2jK3zKw18zmh+4hfZ0zT2Klg50zyK+uSWUmoXtGbSmc8tVR0TmhjaKFgBs9gMn1/pGuKVDI4RU6FJTRCm1FK0bTGkgivCjMtG7tY6K0B36N9Y3AZPSjwA4fRYE4jdTjg+o4uBdo0ExcxBKmSqO/F2d1ixuYVS0YdRrIRc9eoFfq7H5Gx/OS6YHThG+dQzlLHI0EV1POIMVpYztbQp4OMv18+0VLCkylzoHQdzVhxrPc9STusaZgSUcdRgOL5jHaGliVjWECSp+WCSglzHASnNPm91QqMAvZK0zKKt4ZBN1IsRCfmSq5net/jtylNnVcBkc7ezUZK3eQIj6Ps1g+30bvSinqZwBhKJ73zzWhUTqh3bwXcfvyIcqKLbVuEFON4z3R+8yzsJ4gWdGMRW8oCTnO6GZqUf2ipAgHXOd01pxtz2pyXc+177jzLe3lw7LfD8a4xDUEAsvd3AB3C5yP8nf3sJcv2du6dSd4Z0L2edR/T78/p7iD/xqLugHX/HT8C1i+zUb9Wnn5dv6TrBwNQW2v/vVLqfwT+E6XUE/B7wG8A/zLwN/YMVKXU30VA66+11v7R9vD/GPjbwH8O/EOl1D//cOrQWvsHfyov8udtEI86oX1z2X9+HPHLm5Tx1/5zrZATlCKu+dvv4o5Zd30WrcnoMWVqKmIaaEU+T6rUkzZtqMqgnZGgcuNYYyHGyPlSMc7hrcUoh7eVdYEci/TbZyVRhDSW6xaabTqWVZiUnBvX14Xp1ZDWlfOlUKtjnQ39cOA6Z4xfiGogZMU1WBqZaXnBm8LTACGN+BJIwZBq4f37SqeuzJcLS4tcWEkI4KqsKAIwMTIzcWDkWz4xoJi53kb5FUH8kTuzGRHQOW5fv+E+vrfbcTJ2F1C7j+k/sG4sa6FQbuP+XatqgMhAYGFEY6iIQUVtzU/7sZYDEccIaGYGApkFTcZyvb3ekSMdDcMRhaaxELng6XjHE4URx4yhw+DpMYxISP4o6k0OrFshwEKmUol0qvDU93R4dHDk+IoCHBMrn8BHWCtGGU5a8/H7C+cNWAcyeeu16oZnfuU08N145O04sOpAXCaO45HYVpYVfpKuHErDmsz88hO0NpgibnvtBqYlo0qg7zUfw4wyHq+qgDnAajDjiCHRakaXigdsaaRrotlKSYVjSfS+Us4z59eJZ2dwxlGUVHyqWnCu4QaLdh3uzUH65rUl0kjnF9okf/3mMmOV6CFLrrQ1oKn0gwGrMLlIvNo4YBVo4whrQ6kiSRn9QHv3LUqDbRlKJK6BYdAob2Fd0ecXyhwwJaJLomhJCaipoo/yb7NkYT+VNcI0vr7IOLsWGf9vyRstZpTK6M6hnGSZqqEXnNMNMtZuijbJY3RcAY81hrejIk4TWSms7/FKYadJLmi1FoC2jb5Vv5mN2maehIeYJ9FeqstZXP7GUlMBVWVU7yz67ZPoRNdVMNcyS8boDn5rpQ3j/Xk2E9Q+nm9ZtLVKlS2VmXtl6R61ZIwA/3W9ufVv7OkOdJWCadpSBzagOAz32Kh91L897jHkn5xFG7usnwFNVQv4e9D/Y4PWLbd0Zz93MLrf/5iR/Uhi/KJmqC81p/txX/oevq6v6y/w+sEA1G39a0gb1N/hXnX6G19Une51P49o8a9tX//N7c/j+kfAX/3/9aoew5P3q99HRvSxKeoxD/URaaYkG2p+iDNp9aZRuz1HlRzTGiXcXiG1hK1uAHV7CtM7WlXiplWWhoT5q81MJXKyxLSufHw/0XJFe0NWmqfTgXWxlNxIUV5aSvJeYgKLYk6VeSloXVlTZblkSh5QtmPKjpe0MKUMakKVZ5xvLDmxXC/U9UBrHTkWav2I9ivz+YBKDl2ghcrL9wFjFl5zJTJzxVIxLDgMr1v0vmLkDZEThcAHZjKahEHG9m77OiKM6D6yXxDQ6rY/IFFSCdGjNkSPqgCDZqXyfrttZ1/3c+zHHtid/wsNURV+iwDNC40BWFEUDBpR/72SOOFwJAY8K4ZKZqCnUImMm37U0eHQLFuslUVtGQSBRsOTeeJZ2GcuVA5S8UlGU1h4ocPw5AZCyuT6wrIEDB1PVCqFxBlL4kghxcCbThjyPFUZDatG7A0hOxaTOBSFeq6MDt4+DZgkjJ1VsMwXrtcFVTOHOPMMdDVgvaXYSK2aEgrUCcPCYBxhXlA0PrWFoi2H7sRBOzSFnGcyFV+hKxOlKKq2qBhI15mhzHQlk4I0RWlriFXha0UNHtcbuqGjdCPddyeJbVLQXs+0klhyZomRsmRUzfhcGKtCLzId6d4M6BBQWbSL7TBgOoNZEyFmaKCHntL1qBIxzqHXK93Bk2oj2Z5BGxknX2Xs3VLEUajaUpQVBtQ6VM7kNWM7g9VNwOaUBOCtEzVXypbH2qLkjSqj0XZj9r28N/qOthmFakiyjyyLOPj7HpWimLpo2L6X/aFK7mmL6Rb/tLN62lupBy1yIa06LzrObZStaoHzJDFSysh+pDTEhHojSRTq00c5764XNfY+Bt8bogZpk0KpO9uJXGC3eUJ1XsB6zjLt2Q1V296qaPda1N01b4XJvoG5HZzu8VHjKLrTXO5jdWPkPW5aVlqT0f7hIK79LaGAEGS0/6XRaTc57Y7+afpsHwfujO+jO3/Xpu7AdWN/PzPXwn36tn/mfM1A/bp+ydYPCqC21q7Av7v9+UXH/C3gb31x21/9M3tRXSdX1l/oSH/mz37lXcrdNPVFFFXbwSlwS9bPmZbKTR7QapPbawMUeHHaN6vBcNOdYjWtiFZ1d7rSKjWKnaimQlwCn95fGXyH7iXSKsSV69ThjdkkbpUcZTNNWW16L02tHWuKKO8JyrGqAWN71qiZZ891KdR4JhFR2aOrpQVDnC1lqTgdGVVHiBWWlVUlrO6YXmFeI4nIJV955UJAozlt4LQnsmC5UuhQnJg3F/zCguhFMwI296rSgHjsdnAKwpL2D9+H7dj98f127AuVCTE87fFTb+CWmRoQALxLB+J2TMRgNoazUpnpeUbCsA5UPJYZK230vCEz4fAkOjQjI2pLGbAYLG/QFAaWzUSlKVxpJDoqkbdELApPwTJwZsQDjsTMAY0jU9IfkZm4MPOEp9+Y18qCZeLIwNjDrDoui4A6fxzp1MoaXgi1op3iL49HDp1lsI5EYS0TLmZKm0nfv0ctAZNX8lDQUeHHAaM1Y2d4DUnetc+sKWCcZSmFxWmOXc95Wciq0lRgNJ5TBVLCe4PRmnKN6BzRKUBKnFziw1qJzmO7Rs5V/l9oS3AW82ZAP5+oY884WOz1hfphoqKwurLOE+fXhVEbOirlPLGqhuqOnJzBG0hKkd++oaqGM5pOFVJxNN3jRs06dCgtPfdHa6XRyVkiBsrKkAp9LphWyEuSoHxvqQlhGq2XsXetlPGEzvHWiNRKRZWEylHG5b5BkWxj5ZzExnmPNvL/U4/Sba+MFg1o29z1fYc6jrSUcXG+5XU2I9u8iuvN8KM6f88RLVIVi3W3i2v95iTM5zZ2VykKGO0HamnUWsSpPwyow4gOC2pdNvA4iw5WG8k0rfUOTjejJ/0gr2urA23W3WQJal02c9jGej5KpXZtv9kc+rspajjIcd7D+XzXrYJoZrec1VvMU62ow/i5bGBZBMimdJMD7Iaqz4iJ/Ta4Z5fur2kHrDsANeYep7WP93cQu+tTH3/eQer+dX/Pv8DB/2ex/tm/8z/8zG3/4N//l/7Mn/fr+rq+XD8ogPqDXCndzU6PhqhHMPpoonoEsTnfHtdq+6zmVLV6H+3vmXwolDMbA6ruJK3R4sgv7dYgVVZhQFpO2xV7o5ZGQfq9c2xcr8KeqN0IUBspNCgrzVjC2iQRQBuy9qL3w1BKph86dF+5zpX1DCppQnV8fP/C9HqmpSRh6SEQlz9E5zd05USYGpZG00EGzm0ilyO1FD7OZyxti5dfSHgilYUZxwnNGzKWYWuHshj+CI8ib21NAwIseyTT9A8R0CkxT/AWbtWlMnrns+B9hxDzDskv/b8RZnUf4z8j/yVetucaEXB716jKsQsQKQzAKwZL40gFLGJUcdtrHsloZionvuW4ZZQWMolCI3JFYxiIQKNSGPEsJBJXMgsJQ0fCknnLr/ItjUDCkmgkDlxIFCBy3pIKRhJmkzo4MoMymPGI6R3L6im2oNSVRUk1QIdj6J8x/oxDjFXHAmWeMTWxvn5kjpVpiThjKK6Brsy1oLTioCtH5VGfZg4nw8E4rPMc+pFriqQ00w0e26A3oAzoHAnacUqZoSnqOWBqoCwRtMKPmqwdIVs6GwleE5QBrzDjgPnRido50Iq4XnDTlTIbtFKosGJKIhfFEiJ6WVC1UceRpC0LBe0i/dMbUIWoNWtOGK1YVWNSPePxDd3QoVMm5kTT4DrL4TSQ10xaJso6YUuhrwmdG61zdM89BUN1ntZtrF9rZAy2BNx6kVF5DKgUMUNH7UbKGiFEyQAdBlQpGKdFvrAZoqSXvqFSotZ2Y1j1cZT/4+uCQQC85JLK76Itq5iHhgHVpA60oQQQ9g/B8s7B6UTrJSCfaUK1SrUelKIUJXuR1vDuG1RO6JeP8ho3IyddJwYouzGVz1JZqreRPs7dwWkpAk63hihl9N2Zv7VDPUZDqXzPTt0NV9V1dxf8+Sy/q7qN1LexfisbIbATCoeDvFYv74tluTO5td0jrLaUg1vL06553Uft3svvbFnkPLvbf3fx7yBzX48Gqv3z5JElhfvfxf4B8NUU9XX9kq6vAPVPa+2byONGs38fxbx029ikAko2QtduV9ZKSZZpK3L1XTe9akPJOA0l0qYkV+ktiZsfpe5erZLJsRKWhmmKmguYTEVRaqNYhzYHshsopTKvK1OMxPAJqz2meIyVrvY6V8JHhW6a6Vw4f/zI6/w98/k9a1hpOrFcEnGpGM4si6fzjspCqK+EXFFFUXLkUiMOx8TATGKlw9ET8CgmFq4cUPRkls3tPlFIXKg3AJqQ8btBAOUfIv+ENffM04iM4zMCKk/bMdftMbv+y25/1MPjrw/3/QoCUo+IfOCVO0AWK5KnEFGbrjRsAHWlMKLIvKUj0bbw/cATHQ27MaYDeRvLW0Svm/i0vZpC4crMZQvn11QmHC+8JVFxmxZVigmgMBGpXDZZBFgGBozYtp6OPPUdr+eFfG3QV1quNOPpc4dXnvFQ+NWmuGbDpc608ytZW1yKeHeQ914zuSWcyRK5FSuHvuFq4zUktNeMT5bB9/SlUFJDl4LLkYuKLPMEqqKs4zAnnFUczwuXa0RrhS+K0neMRy266KjQHvzpgAoWfxjIpxOHUSQe6zLzVBe0EWPfT6eFdzTeGNF6zq8TpWRi15FKwRcoMRNGQ1DQD545r1SlUTpx8APND2QMq2q4sOAUmJQ5nA50KlJDgj/6HlcrPqzokiRIvoDxBqwh4VAlU0uU+KScaaWi44xyGrXM5FpIfU9G9LBeK0w3iKyhVQnFN0Zc7p1HeytB/TFCraJDV1pG/6pSLwtWy/hYGysJHinB5UIdRnBbhucWtdRqQ++4SSmRHpy2bN9dTzlNKO+opqPl+8V0Gw8CbKeLxFy1KgH8W3xU64c7qHt6khSSbaTPOAo43YBXi0meu+S75nSrMr2BvG0Urkr+fKxvjIDTffz/+roZx+pn4PRnTK3DICzuznbumtQ9kH/fx/cigMfRPty1p113P+5mGngAlzug3RIAPvMqPDQKfmai/RKMPjKuj58zX9fX9UuwvgLUP249jl/2n3fX6A5A981mZ0zVw+antTAiIPfnLFf31dCWcGNjW9028QYoLa78isRFIQDU6ErJsmG1LJttzU2ebn8JVUu+tHVYYxmcYZoWlNakCrV0KGNZrzJ+/f7Te67ns0C7arBNoE0KmtdPlZor0wRhNdQSKecrYcmUXIjRsk4Raw3z2fDGWZw+ca0Lr9ePuFNHXE+srdF4JfCGlcS0udcvrFQ8moJlZubCwMCVSmThLjWeuLvuXxAGdEYAp99+jtt9cAeoHQI+9/D+lfsY/6fb93sKwOt2/v15++0837EzpvJc8uHgUEQ+4ZmoDDSgQ7FSOPIJtlH8kYoj4qk0pPggYegpeBoBS+MDZ5aNLX0BKpVEYmbgxIlKRyUw0XAYvuWAuPYVHY3KE4rISEVJIJUptDJj+8SqA/VFMRxG5hAgV2psHJLnV13Fugvt05lDzQx15Wm00omVMqUYfIXeF2rLvFK5hpXToacMlpws/mjpnCMvC8odeE7gMOgaCS3JFLQFprCQckJtfesHHAZP0o5cMkdnsAPEpNDjCMqI5vP5CWssfV7p6owKliVeGU1Gr5Xr5ULQSl7fEonFoPqekgKsgWwMQTsYHXrQXFPmXddxVBo7jnzfEtqM+O5JGEGEoUxWAIjrDXp+JS8S2k/OAiK9peAxzmKfOwGNRaYlyjlUTJSXi9SPliwmpKIp3rIUWJaJigUNTvWccsYai+md6DStkWzOlMSwUyp1x0DGyGuZA601bGfF0lQyLVVxkxtzq/FUrX524aypoPStZlQjmaPUKizk0MMgutW2BonAc452OEou6esndOdunfSq85LXvLnveX6m+c3M1fkbC1qVQW11n21eBJOti2CuWu9NTjs43aZUSnEfxW8j9+r7W0MUyyKsdHvQnG5ZqS1vF6V745R34gcYhjto3cP/d91pjJKKsANtpeS2HTDDz8q+9tf9qDPdR/v78ftnw/75sI/z98+Nx3H+I9GxA9uv6+v6JVpfAeoft3aH6L7/Q5AwAAAgAElEQVR2MLpvSF+49D+7/7YRsTuRtg03bk0r+TNw2hrb95mqjGT+AS0XaZoqCDMCskFv1YdVi0kqrhJKlK0WQkDL+XSvWddEWRpOafLcIAemjx84f/ieU/9EiZl4ufL75/f07YTJT8whsK6KtPQYo5mukTVZVFFc5pllOaGNJ75a/NiRjKLoD7xcv0ebxstZBt6WxnsaaSsjDcwsXClUug3Wrcx0vOX9rUL0A4LWhQ8UgNkQUPm6HRO3nwtSN/qyHbsbmsz2PQ/nfL89Lmz3Tdv5FMK2vtvu39lSu51HAwFHJtE2RjNvKamFKlYUnrbx+8grngsnegKVQiTT0dHhmbdeHkfjwoWPNFYiZ1Y+MZNoXHFYjkQk8EsqTy0rI4mVQsRywOPxHLAb05wwI8x6RRnLNDVYK00n/Kw4hrx1Vy28IeBTQLeOc2n4Hjp6TKjUIlpdTePUVlRUVNMk69xaJq3QufJ8HNCtYlOkQ2FCpLdNgtLXFdNmUlxQJfLEyhnDRMTT4XBopbEOxmGgZEs2A7x9oh0GARLnC2a+4ExFt4Kzja7M6HDlXBtrKaSwMrTKVDVdaVzjStOab8YjeXhD1zucSfgGqTWejyPHQXJQcY7y6UrMhWcrrGXxHW2+MthKP3+krImWM7oWMTJpqMaDUbiDRD/lOaIOI3UJEpb/Okk9aFzRWRINcBJhFKeZ2Rr67oAqheI8i9aMTuGHA2oQE5RuhbqsN31jK2JKUjmh00otWw1qkY76hpI8U+8EmG66eOW2KYORaDdllDRQnU6yJ40jLYQ7yDseqDFDKhJZ5z3teBIA+fGDVKpqboys2oAswyByotPpFo2ntBLT0dZYp2hybIi0KJWvdJ2Yoo6HO9h7AIXKu7vWcxzFEOX7+/47TWAtupW7dnRjOW/gdJMKqKEXcDpKNNbt+xC299DL76TvBSfu4/ddR7p/FmzGLJbl89H8bqZ9jJR6BJyPGtP98wV+ljUt5c6s7l+/rq/rl2x9Bah/3Nrd9zvY/HlGqUczVIz33NQobTQ3zSr38VMr93GOMKeNlrfRfoMtVYtWJWZFdRIjo5SSqCllUL2mpCpPtWSa0qwrEFeUET2pThW7VswkI9QwRVRbKU0zvZwhJHJZuIaVl2nm5XWmK4rO9CxzYV413jamGaZ1RdmB0t4Qi6LVlRBB2w6nDEt+T1QzrU583zIDliszE5WZM5pvxRzFAvyUDovZRt0wcOWKgMxXhBUtsHGTog8N3LWlFfgWYTcXuPXb++2YffT/fyDAM3F3+TdkTP8NAj73dqnT9vhhuw3u2tUrMJNIeFYiBc2IRlII3rBQ0Rv3uuBZcBQSEytq63xK2I0dHYGFFyp/SGXBsCLGK82Jtnn7xXvf4TcGtgMGXrBYPP1mFNMYvDX04xNNTbyYiU+vC64YOjI+JyaudGgGNN/Q49B44+QV68apg+saqCXTCBwZOJiepUFqAft2wNTAt2VgapWsC6sHUqBo6K00R7mWKHPAtYxugaiEbXwynlwhtgJqpCrNJ+9wo0Obgfn5LaPvcONIe3lFXc4ooxl8RacZrf4f9t4sybEjzdL8dLwDAHMngxGVXS+9ht5EL6sfelm9id5DVqVkZJB0dwNwJx3r4VcF4F5ZxWyRemgRmlKMBsNwAYO5qZ17/jMoLAmXEmVNmBCZSPyuK3tKhKIYzyes9VQSWVmqG5m9gCI9nxm9wwwji1XYUgmbmApHZ6njhfseMOGg3t65EBk3RclFjEpWgZW63+IcRrXfVeNAyTREbytKW+ouY3iTDtRZHqNypCqDmkaC85ATJYMeBvQ0oVTlNjiyH3ApMliDOgL4QTSaFTh2cdprRdUeO/LIAq2NlVTn3uSkyEYTtJJ4KWC0Gms9vL3JibB3z+xO03SvJUtclfMy0v/lFwFu2yZVqVYL4zk1gHg6iURCIUBvEDmA8lbiq7QW7WsDeDWmx+hbOwFeqkqbVM3lOZnKkjagnH02NE0tTsv6Z/D/soi+lQLNtPUAp00qRX9vTvOTOe2O/bMUIlRtYHCPXNIHc/pqVhrHp3u/g9aeCNAd/Z01fQ3c74apH+OmekTWK4jtk7ofs7PhA6R+rD/d+gCo/5H1Gsb/ul6ve2VPv2sQeQl1rhVKlipSK5IAOelWkkno/MNx2/X8pSqME1c+VXSoNRfRKa6ZiubYBCQf90hpuYo1J2pR5KLYbmKq2pOlkNn3wHEkwhbZj0gNG+uRuN8rOTlUeeP3NRGiQpnK7XrFM5GoHPeDcHjYFCqfMNEwzpb9WIhpYys37oDiC7/yhaMVhBo0K5WIY6QSmck4PLBgEcD5O+KmLzzjnl7rSi3P7NMOKoU1lOs0AjDry318u2wRkJvbdXt7vqH9ALu5qrO0F4RBVZhmQTLNhb+hObOyY5hZ0SQOAiOKExbDjCIQOAjsjDhGdg7uWCYcBoVr78hOYSERsFQGKgGL4UxCEYnCiqMYxadPYuPMjMVwwoBNOBU5Jc1tPdi5YvlHqxLILMzsJCYm/tLECZXKljOOwpATPnhqC8myzAzzBZ8CthbMaabkQNkrb6rwWWfeU2an8r7fGanM3JgA3YoGnDPEjHynyvAtF5KxvDEyOoP6aaL6kc2NvMVCvL+zFsVZK4wyjOrAqgy3iHVK9J4UUtHih6FiKmx6Js4DJzReiRkJZRlsZThbCbv3juIsXoMtlX1NfMugxwHCwZQy/vYbNUa0ydhSsMZhaSNnrVHWkjEYXTEOinLUI1C2Q4BbrcT3A62qxDw5Qw47MQWSs1jvsTFhxwkzasq2o+YJMw0E71jev+JrwqTIFiOjc5zHCZ0rBGmTUs5QUxYJwLoIa6pEQqS8FyAZJEEkK1hyYisVbQ1YTRpOnJ3DGoMyPI09PaM0JTk5VpUyTjC2wP91QVkjqQrWCjjt4/OYRIbQwVut0p7V9ajpWWZSY6KGKCfczj5C8qW+ND0D8VsKirKNvezVqOMoUgOtBWguUhSgjYKQBWw28Fhjeu7JTtq12PenpvR6FaNUM0L9d8H6r8al/jj43mPQH9vNUCDH6WP9Vwf+6zi/39aB66u+9ce/Kx+a04/1J14fAPU/sn48u+3X9YiQH/NOg2T4yUi/PJ37VDlT72fn1sof1JypqumLSiWnijKaEhJGFcohOtSeY1hDIhcoqRCW2ECqMKkmS693RnNsgestsuwHe1CUkjlSZY+RZY/ctzuxVH4NC8vm2NY71+vOanfu90BRC2HTXOzf2JPhOAZCVoT7iMqZUnZgY1kl33MlsLEzcuYLA3f+QSVR+IWlZZdqFIpIAQYit4c7/htPhrPHQWm6Ienpou+1pb2G9Gu7X0HAq+UZQdVB7RUBuTNPaUC/zxtPOUC/TiQFijuVd2precptVK9ajemZrSkpFZ7CTEVTqCwkVk4kMpkRw4iShicOLswUKpZMwjGgKXhWFjIVg+HC1GQAhpkTP3HmJzwJCGxoJCNVkfEpE8msUUpZZxy3lpgKlpGDicrYkmZ39tZWlTnQ7GgGPTMUYXi1M9R9x7uMqpn4LTJZjXGaekRq2YGDkcBf5dGM2GZRs9w4KMlx0h6tPN9KYh0VYR7IJ0/O8CkUbFh5yytnP8G+suTK2RZmq9FZUgu8yahU5PyuZMzlRB0nYutDPx0JoxSHVmwYzGj5+Sz6zWNwcAR0zUyhoO1A8TNTWDA5Uv7+d1SuTKoyGNDOUCKoQdhB5WWcn6MACeNbLutWIawyMt7v5GVDnWZx3FPRx0Z0jsU261wq1HIwWM9cFd55psGx54w5NtZtQR0Hny5veK3JxrEuG2aPnIwR1rQUMA6bA+rLu4z8G8umSn5IfyQ3VBPCwaY153lEzTM1JRalJKT/JikCDHJypnKiVDmJzvNFRvr3BVaRC+giCSA4J4BSIXrTUlGf3kRPWhHdbWdWXQOdTvSe1Trq3oC2QnSlgwDSml4yQkOQ76GbpNpIn3kWcGqMML6t7Uk789CLdpBcY3pKr7wXLenxwpxer88Rf85Pj0AIcLnIRKszmK+60x5j1Y1VfTzfAWuM34/ze2pLB6GdzX3VlHY3/49RWj8yq/35P8Dqx/oTrQ+A+kerhzC/RoL0jabHhfSNCOT6ttFUbR46U9lskMzTdt9aEaAXBMyWFpCttaKEhC6FmBLbdpBTxHqPyQpTBZxmZSkJwpHFlV0zSyks7zsKuB+FdY+83zZCzeSqWcPBfj2oqmDdyG25s90r+7YTs+bYPF+CZGmua8bVgVAVZV0xQSDZQOTgSuGdjZWK4hs7GkUm8BsbOysFzS6+agT43ShEElC5seMRcPiOmJagucR4akvvCPN54wleD743PHU2tbRjdTe+RC/J4+FprDI8g/oPRCow8mRaFfBOba+piNcaxYnIwbmN+wsws3BCYRvkE2uWppDIBDwa36xNA5WVSCCTmPA4fqISSBwcZBYOCidmPIaCZWTkb1x4w6PYCFw5N1gsjVaVGxf+CoBlxVE4mBgYOdAkfNP6nogoRK9sG2SWV1qg3NEUMoopJjSFeBgUkZEdlURLmdiAgQuaT43R9sBB5XcyKxVjPDdtCOefGK0FD/P2Towb6R83PAbnR0wN2APK+8owVGaVUXvBOY2zFaMreTmolzfcyVCsJyYgK3KS7M5x9pQI7jKhbMWeZqZjFTf9ESijxzgHdzlprP/4F1zNmJAEN1CwToH1wkSOVpzxNZMDKG+wTlFDgHWV+KXbXRzl4RBscT6J1lQ70d7OMzEEjpIYxxNaizFuNwo3T1wMmFIYKaSYUE6RTydcKZRdzFBQKVqJRjMlDBl+f5cToEEyPdUjN7mBRyfd9VVb8jRiBo9S+jHJ0cudNI7CNLYRtdJKzF3TTJkvAia/fhPwpyoqHg+Tk/Iyki6louYZ1QEhCjW22xuTW7MYzci5MaeihVUpgpaqVOABkqlV2qeootVtoBSAaRIpRSnCmvZigVdwejqJpEqbp/RqaIUFx/5gfFmWJ4sao2hje5PU21tLElDfg8nOqHZw2pnTVya0g8qeLdsNXq+u/X7fnubyY/Ng16y+AtbXcpiP9bH+ZOsDoP7RemVNX7Wmr2H8MT5zUftYKSXoY6ZSJJA7ZWmS6ozqIxdVjAMqRmpVlCLPmdaVa4gc7bj5tjIMA7MbQVmOrZCyjGWrhWXf+LYUtLW8vy8c+4GpA8p7znrg9/cvLO8bS7pz8T+RkqUcJ/b9RoojebeYI+Lywr5oTmomropvaUMTUUAhkykkbmwEDI6vFAp3vvKFgiUzUtjZXmKhBhIHtQ3JFcKGdvbzxtM933Wnud32T9C4RDlWN0B95enUP3iG6PegftU+MmKE8shI/w2JjlIIaO736YkAPVe1R1at7XbLiW/ATuFgIDGiGYEJQ8Fg0JzQGCoHDkmlNcx8JuIpZHSTPIzcyC0i6sIbE4m/ciJRyRwkCpaDiYMTGU0m8s7IyAnHgSUyUEk4KhHTRAeKM5kTCseEo+CpMJ8ZjsivWVqjziQkCTNySCoos57wReBzJjCIqAOLI7cwLYtuLPGIN0rij1LhGGAbHW/TBbQhbwf3tKBKwC0SiZT2RKFiSqCkhMuF0SgGJ2DAT5qLVYxOU85vpFxxf1Ey9S1QlCU7cYwbZ4jKY7zhcnKo+w0zeYk8enuTavRSCFumfn0XE06t1Jipg0dbjT8L4Ch+lN53ajNAOaoCV5PoE0dh3krM6LqJHlzPqG2VaKnBoc+jONaVQTlDVBq8oSpHGUeMs5jtTikRVSr+NGOy5vCebds49o3BGOwwUpOMwW1rezJKcks5n2RviBF1mgScgozLe2zT9Al9nnEhsKkGt1KUCcz5jB2Gh+69VKjjTP58gm2jfvkqQFcrVM3oWYCicvaRC1ovbwJEO/hyDnW5CLHXYvIwBhVkkkOMAvxNa4CaXiKoOmBrJ+xqaJmknTUd5fmLanFN6/pwx2vbQNvnzwIc+/N14mCUelUVjmeo/rI8o6Ha63qA03l+RmF1kKn1s2GqO+h7IUsHmPAEj50RbfmuD1D6CkDt82f1YFb7cfvfm359B6of62P9SdcHQP2j1TekfvmPgGnTUPU/Ho/7Pcb7zSRlHUprqSjMPeu0QoqiOzVwlMoRAtMwiARggNuygxpw1pGsIh0HxmS2mvm6VE7eE/aKKor7knDeQtUCKjfYwo112TlKJO6WfU/c10TdPTp+hhiIWeOw3K6Zg0ghsZGo3PnEiYOucxz5yoZGc2Vlfaged9JjXP4V2Dla/mh8jOj/joA/hwBNiwDBEwJQEwISRwSEOp6saY+dEmbzGUdFu9zjpfr9Y7suA7/SAadIAmi3X9tjuiGqG7Ik5mrAopmAwAwMFKY2ZN+onElYHA7RyWkmGZc3x31lp6JwKBQ7V76RiSjCQwCgKA1QBlTTpNZmpzoojNhWU2AoHIgdKDWVrsKjcQIdMWgqB1ODr+t6J1IaHI0ENCc8kR3NzkjlVjSWhZ84o1EYFKXVARhoQ3wn9rPRo9/OcD5jrGG7fiNvd0pcMPFAaUU4FrZ4oIC/YvhMZefgG4FPDPykNFVrajmwv3zirBVeOxIa02Mks5byCW+pzmPngaAGajwYvOiDVaqYz+cH01jvV467SG1ULaiUKMOEThF9mvGj/JxLAZULJgew5tEDb44dNY2UTZqs6pHQDRinZUd70KNBXU7iHKdQswI/oIyhWIedNDlI+YLOgbStUBN+HNHnE3Hbud/vbDFRjOYolV9j4JITRmnG287sDTjLViHFglXgU0ZbL78itTaHPnBq2aRVxtq+FIbbnXXwKGOpKTGWgq8iEyrDRD29UdYd/v53qhXQqVWVFAEt2lRln5FP9fImzDGI8Wua5PmdALqKeozW+3upBi8RW9ZJCH8He50hbEDw9ftAawGpxggj3RMGGnupNQJKX/SedZzgfueRf9qKEB7a0Wam6gat2pnlnJ9MLTyZT3hKuPr1Sslr6ZrTrh39kUl9bZT60bX/qnF9vV+/z6vJ6hWcfgDVj/UnXB8A9Y/Waw7qj5tE//pHMbwxUOrjzF6tizhKTdtMU0al8JQC5NqipCpZaaquLDHy+7IScsabLPrRXHhfAvt259OkKXsB51FWsb3vDLYQ10SKkFekD/zIpAghG1xcSPedf/n7PzPxCV1P7MHwvqyYBCM7sST2dPBlu3GwYRmIZO4czOwsLFQsd5bGBiruJFYimUxC8dR8Op7mp/51H9c7nsYkh4DFFWFAuwa1g0WDsJ6v+tEOKEu7X9ecdkZU0Z33svZ2P5CoqUs73kIH0U8t6tZu0+0/qUadcHgsigVJyzTtF6iQ2v02DiyaEUfhhCMTOHAoThxsXFn5RmRlZ2OgcCVjcA3yG/7GiEZjScD+kFWAYm3Vp6C5oznjmRj4TGFAUcgcrGgKMxA52k9FAHVobPU3MgfgSXzmhEczUtkRI53DtRoAhcZwoBhPF4bLCTe2ceu2UX7/QlwOLImStvZeKFZ2FhIDEpv2jmGi4tH8E5mfvecvk6NMDuXOqAwWjWtNQtkO0pY2z2RlcSdP+LpQ1sgwJMxoUapiaqGmgPr1KypF9u054VDjIHrEecaoivssusOySTi8GSwqSTtRvq/Y80hdF2oplF3C15V3qH0nRXHgm7lFQCHB9XUaBcw5T1UKxlFSDHRmioE9JYzyVGsYq2E8Njg2Qi5s2jBpg5omxvudaz4wWfF58AynEa0qtyOwodAlU4ZRzFM543JCjQNlEEZSu7bv7JH6+xfs+cTlp88MMZBCxDrLoBR6minDQL4u8O1X2X+SmLzU6DFWUX0Dk00LWqdZgL7RoJ18rZUwnqUIaxrigyV8xOW11juGQUb7RtjbR9pJY1GVNY9xfHe2V23kJH+5PUffPft1mJ6saJMY9KipzniqGJ7Grfv9WVd6HG2Ptk8DVZb4sMcovo/oO5DubVN9tB/C9659Y76Pi+r61/74Xq/aL/frf8w27c//yq5+aE8/1p94fQDU/+jqG8arMaq7X4+jsaSyhElocVNdb6pa48iDQYByRNFWmTZ6LJBL5nYcbHsgh4N1uVNHYRW2UFnXwF521nvEG8ekJE7KHQdfv24SfH5U9HGgtsgRArFasgnse2ZbErqOLIcwKcdyEJcA0fOF/8rBwRXLwTsHEYUGZj4xcLBy5XdqMy5dubLxrQ3nE/kBOC0yLh/QDBJGTm3XrTz77D3fj+T76i1PGQGKvUUqtsccLx+1Hcu+XO7a0/7YHrzfn6MD355zWtpjenNUf6ymtPAoT0KTUcDK3tJHFQbb3iOFw+LR3DAktqYiDfzCwYRm453EfyERxPBBpGJJyPgzs6Ia/Fy44tsRRzQDjp8wRCw3PCOF/4THIazngEJTyUQqBwFPpTKwQtO9xiYv+IWJRGZD2M2ByoTCYDAUNiyaAWNO5MmxO9HY3tPB9vUfjDHijUVFhUYSJSYOLkTulGbDqvxC4MzUQrlGRnPibDRmPPGTs5wHQzFGGOdJRsm5KPJ0pvqBlBZ8ydQ9EGPEv41YRDuq1rvEHeUoDvos0wgBUeL8zmjM7DCmitkwV1AarTOqBLhvlGHCbnfscVBz65u37mHWqdVRrUe1UbvWUMaZqkC13/9iLMoaclHo+4JOCXue0fbEVCLpdsd7i1Ma4xw1BEIq5BzZSya/f8UA3lkug+NsNeTEkgtbhdkaaYIqmTUrhstZ4riUQrs2gl/lRKxahzqfYduwIWCdVJ5yPlPcQN13yu/feDTRhYSehgdDXJV6grV5luMZDarFLGktZqjyZEoJsvf1zNGqDUrlZwKC4nvWsYPTJif4bqTfvocaopiZupHLGlQ8hGF91ZCinm1NrRpVafWsSV0WAacdWCr1lAI04KnMiyZ035+6z557aprWtTOkryH8r+zoK6v675EZnT3twLSP9ft6jaN61aa+Bvl/rI/1J1ofAPWPVt+kerZpPzvu5qc+1u+bV0qiM21fq9IqAlMSk0XKslflKptwiMLWANVYQi3sITAbwzDN1Kr4+2+/UVLhbGeGYjiOyv34N97GkdiqM0sZ0NXy9b6QQuKICfLAaT7hTOa3397Zvq74Y2Te3qjhxNf1So4DPr+hmTCMrNwZGKk4Fv5O4eBMbiDqIBNwLLxz504gNDCXH4H4HloHPBwUFp5aUXiCx64D7TmmDmE113Z9B7t3eBxD8QSREwJYu3Y18WRsC0+mVfN0/g8vt79u9q8AtyLAdW2PEH2rbomklYGZGfuAreLGr5Tm0VcUIjtXZg40vg3nJ+COw3CgqSQ8TjI7iVwYqOj2/4zCEYGFyoTB4viGsC0TO7/g+SulpbAGDgyVO1dWHHDGMpFZcSTExDQ0X39qrPMnzmQiFo/hzKFOpMFytprRGI5jpe7vfD6qZCjUxLe0M6JxZWcEZjSeyLlJF3Y0VxIXBn7iF7xRjK5wzQfjqDgNltPkmYaRpCzaW8w0CjDFUNeNdBS8OtDTQKbifZZp6e2L6DyrhPaTEtGfKOuG+nxBjcJoharIJVCdYpjE9KZKlcccQYLor3c5NSipaTdniXrz5jG2rhUBMEphLrOAodFDrigv2kitKuVIsO3oecYYR1EjKkf8vmFr5lAQcyErGGrEVIUKO2sQaYEZPJWCUjKyrxXU6USOEZZN8kSVRl3OGAqpGbPUscP9BuczdRgl3qnVI/fxsnq7yJh82yjvX4SdREGpYu4yGjO066wVUDlNMvIHAW9jM2WNg0gIkOlQ3fZH61KNSfbKIg1bqPb4Prqv9TtgilKoeXqA3j6yL8oIqNy2BwGgVHsd05vcvznoq9Lfg9PyjAUjJTnG5fLcp7V+SBl6HJXS6hms39nV/nVnRfte/9oi1QDydyH6rxWmnWHtjGq//VW7+mqg6gC2g+Nupvr/yfo//u//53/Jcf7f/+v//F9ynI/151gfAPWP1rLImXzfpDpI/VF32r6uKT+B6nGI+7frUfvGFCNURUGjTieYTpR1x6SD8H6nrgv4AV0qc8gMMXPsAT9/kpj6cnByBlLFec/tSNhUqPeI2g72bSVulaI1Om6UOrEuhRAUy2ZZlkg6NnJylFgxrUjz3jSbkYPETmXFcbByQaFZxOLCHbiSkO8qIsCwZ4/2MfwXntrSkacWtANJiagS8NnH731kn3gyrh1sdvC4tI/Ly3UdvHa2tJue+gbfWdfO7moErM4vzxuBA9VA78CAfhy/UhqYHJoPXvjHOx7dwvh3LJYzPzMRCezNLa8ZyEQ2FIHMRkF6pxI7jsrQdJ1vnJgxXAmAawasyoa46v+GaemwA3/jYObKnQ2F4it3rigKnp+B3EB5bYD8M5obnk1Um/yFz5z1mdsA1+1oQHjjvAccHm8VOW1kAprK1tJaNRVHZmqChsxIJlOZeONnzihOSrHXnYvLqGFgHizDMHCePGfnMcajmyu8LBt5l0rdbDV+cOgefLG+o3UirncOqyX8y2i8hlAsxYhLXZ1PYmIKiTpajpyIqqBKYLsHZm85aYsJOyUV9LoI+aW8yG/8QLUG9XaR9yy10e8wSLCYtRQqynkmYzBWQ4rUfSdPE8pozDyT1wPSgWnpANF57ntiQ6NSpsaNUOHNCEtZc8BQMUbASVamaTtHai4YreHzG8wzWiuSdRSt8DGg3r8J8/jLLw/DZd0P+efuHHz+LNr2/aDGVfS0tT6AqJ5FmqCcFdZ0GoWdpOlLGzAFxNjUK5qdo247VbeIvHWlOt9G+k1L2oFiB139o702AZvToxxAfkW9nKjvy/N70JKmwDw/WdBmgKrr9pxiNQOXAHn12HuZ5/8enHagqfX3zOlxPIHy6+e+X78CTvjuON+Zmrq56pVZhefk7NWR/1r28ioR+JGJ/WBOP9afdH0A1P8v6/Xs+X90fd9w20b5aE5RSnIAY6DcV7mepnWLEb3vlP3ApCya1CzRUeqIeD2g/MhQ4bivmLQS1sLkJuqgCWH2+zoAACAASURBVO8HqTqqHkhHZahvVL1QVOYf71fer1/4sq0c3zL1pslH4c6vbI+o/JX3Bs0iicDehvuOyNCuSRQ0B5GdnSfQ7KCzM6Rb+7prSWeemaa9UrSP5+FpTDIvH4rvAW3gyXwmnvWknUXtj6k8Hf20rx3PutL+z72DU81TahAAjyUxYCkEHAVJbd1QbFjuZPkTT2iJpQmHQ1ExVDKVdwKFCYVjoxIoOCKFjYhCNbORaU59w89MvGGbZjQytO9XIPZI5o4lMGOZMPxM4YSlij8fzfZIeb0TcRgKnozFohqIPOHQbKx87ex2CZRtawpUDfVo4f/vqGQwRAqZG4kbga1pZUUfeyJwIaB5a3KCTMFpzdvJYe2F4sHpgjqN/GUYGOyIDwfKGsp+EO4yOcgo/Kip799IIaDDjhsNVRXWeHBYjQoVfR45imGsFqdqawUSU5oxFWsqR1iJOTH6ERt3yrZzjA6nLIMzWF2k1nMcpCr48glFRR0HtTNnk0d7S9aKZRjYlx3tFHWR1N5pmDHWoccBvS9SonEv2FoE6MVItZZ93dn2lTFXMQqNI5upBKVROfHJOXzNRK0w/kRK8QkiTzO+VqlwVRq97xCuzJ/e8D0E/wioZXkCnnGU/ec4KL8JW1pui+w9wyi4Z/CSVtBbk8YRdRGD2aOO9CSmoeoHqUZN8Zln2oxQ6naVUXmpDzNUj47q2tRH21LXcYK8P32f7OPzWinXuzCeXTcKAk7PZ7lvD/DXWpjuF9aV4xA2tleX9nD/LqlqmlZifGShSl6s+Z457Qxp/3cAj+d8OPdfAWUHjx24dub6VWP6qintgLYnw7x6GzrL+mMiwAdA/Vh/4vUBUP8j63WDMOaZ3dc3mH45JckwDEE2nK5benyOcOzU1Pqoc6YeseURanKSMexUMstvNwiBPShm7QhH4R4CySpuW2T2Z3RWLLdICJKzuS0L4XanxEJm51gSv//+hW/bzu+3wJohM6Nw7GgimszIHcis7AgsygQKKxEHKHaOFq7kGmz6ioA82z6vCGM6IMBU8dSMdma1609nujNeruvg9SsCJl/H8N2s1AHn/vpDQUDqK6it7fGqfXRmtbOpPXf17eV+AnglK7Si2NANHBcCBoVtIVKlMakJTWzBS4aKxXNmI2FaYL8GalOWKkIDpI6MZ+BTyx89cAxU/jOamcxKbImoYnI6Y7nwjYDlZywnLGciJ6QY4NaMaaVlm3ocE4o7ng7AVctTeCMB9wa3D6QOoPJG5ROBEYOjsnITUw4HNzQbiQPFykREMz00qooBJRFbxmNHy2DBqIL7NHOeDNFoSgqoBH5PeL9TqiJsRVrOlp1BBer7QjBOcEGJ2NGi0846DhzKMqrKrizL+0Eykc/a8sl70UeWgqkJWy2USLwvaAPmOMBKw5Ja7lTnKPYN4xylalQ3vykoxoOTRiPtpSmp7gdHioSvNyYMxo6kYWI5Avb6jveusYYV6yxkMRHVvTn/80ZcNxg9xlkwClUS+jiop5lhHDlCYKia0TqKtaynE7aPnqcRpxTn65Uh7BxWU95+puTCcV9gHLCdaRsGAV7LIlFROYvsAGRcrzRqHNA5oU6TSAO8R33+JOP5Kr9Pap6eGsucBZwaLcC0iE5eNXBY279tNY5oxQO8KcVz7+s6zq43HVtk0+n0AIL1CNTb/XuAWAr6ND0rTrsutIfwd71qe57H617XJ3A9nmyyNGwFeY9+zCF9ZU77/v462u+JLR2wvuagvobr98maffmT+lqN7dzz8fC9a7+P+V/H+/1vzof+9GP9idcHQP2jdTrB25tc7mfx3en5qkPtbOmLLrXmp1a1xiSNLXugrAeqFmpI1PuK0ZWwJlSK2JKYMOAmjuyYbUEpL3WPtrDe75A08X7lelR+/7ISQmFQHrImKlDesWyGb1vii9YkfmbXV255I/C1eboVKwnFZxxza5IHGWZaAgMVTwACIzsb0jTfR+ULtOgoGa13NrIDRdrtPUe0j8stz/F+d/NnnnrRn3iO+EeerGhnQ3sof7/cwTA8wfCFJyjthqseGdUBrdSjanamFvlkW1BTplI5GsAE4bQUlUKVbqAGzy1T015aHJKk6KktBiq241RyC2tKfMI22K+YUMwERq6PGH4QaCk++sCE42d6fUCi4FjQxBZGdce2obvljcK5AfKvvDMAI45I5XcCC4GDxOcGSiWBoSCRVgeKCcj8hsFzRmFIQCTzGUXGynugPEk5JjsyOc3wdsIMFqczzhSUVqRmoCkgAK1WwhIp20G+b/hBUaolHIfIvFXAnmaJUEoJZT2QSHviq5+IZKoxHLqiYuKkFG4ascciFZ1lwJSId4ZQEzWJFrJaS9YXSR6IhWJG9CBgpNgL5YgY79CT6CtLSLB9RTtD0hamGVUU6dsdbRQmR7I2KK0wLTJO1SITjxhFl3kWfbWfR/YQqFqhW2yTnjwOcKUyDCPrQ5eomaxjuJzR60L9+hX16Q3/l5/QMRL3nXBfUFoTaiVWx/ntE7Y119WYYFmEiGuO+Gos1Toh4qaxMZIn1N9+EWBWW/Td6SRAtFWTqtIc+0GkJrUC24YyRlhTpahOmNg+JldUOTlPL81J3VQ1DgLQTqcnAE5JWNMe29QAmCoZdZ6frU9dl9mj+4bhabgaBnn+GJ8B/D3XFHkfapHoPs7nBzhV9gfm9BWcdsf+q6+gg8tXJ/+ry76P9n9MdelA07nncX+MonolOPrtPzZIfayP9SddHwD1j9btBl++yCbYM01/zEB9mKZ6QH+rO92PJ5hdt/ZHLENqKkSlBU4UpFfbGKo15KOQQqBcr8QN1FHwRkMuuCDpmXs2/Ho7WIoijxNbqRSjcRnCLfDttvFvtytf7jvEzFfufONXdiIDEwuelRuWHcNPVEYstFzNHUNk5UZGsbRoIoGjA98Dw86i9q+7OekGLaHzyXA6BGz22tKuH+1uVs+TdaUd+y/tWHeeLn14Zpl2mUEHuLq9BtrnXpMaeRqwbsDAjEM3A5hBkUh4NCdqG+anBkFF+1koDHjAN/+/o5XKYtGcMGQiiY3IARSOFjk1NW4UKr/gSNSmUbVkLFd2LJr/vcVHSavTxIRiFEhDZuRg5o5jbBB2JPCNbygCgfFhsroQGFF4Eo7MQia11zRS+IynEPnaIPqJn7kS+EamYHAYHK7pTwc+64nPCvCW++Sw44CLEWXAmcDgwJwkOzSUwqrgaBWexyKu/1lZJiLFWGIouIuhnE7kGolGYVVhTAl3OZOOTA6V3Y/EfeNkLVk7CCuqZjnV2UV2YgaPWcWt7Z28N0ErSlFolRmnCTuN6MaUhQq7ttSa8BfRGtdtF8PS5Mn6BOnA3haWI4CVmtNSK0pbBufQzqBDpOxRakYbU8n5LFmhWuOtYRov7BRszVQyg59w44gdR04x4Y0meY9LkSEnTErUaUZ//iT7yCHv51Yqp3mW2lJjWJcF//6O0eLGpxTKKACwOk8NET1PaGfFBDVOwpoiI+pqLJzOT5NQB4jWyOs3XqbZ6y6Azjmq0i2/uQHu5mJXtU2J+mi7u+yHQTSpHTj2249D8le7AbUF46tpFDDbAOkD6KUkr3cenikA4ygvue+1b2/PRJX23LWXory9PUbpyrvv46Y6cOyX+zi/Z5v2rNSWn/rvBvTD875dAtA9Cj/Wl8KTPf1Rr/p6+WO0/7E+1gdA/cPVN5l+Gb4/8+X7mx5fOw/IxldSQV8ugmWrIsfAel3JKeByRm8RlzMqHaxb5n4cLHvkWBJxSwzDSDlNvN8TR1nZ98Q/3jd+e78yYJm9BxzHemPfMnWFsO58vUfeW0JpILNiOFi54dGsJHYCO5rCQObOSqKiGRu7Bk8G89VJ36OcCs8Ipw4AbzxNTfBkWUG4waU9rsdIdVbT8xzld5DanfX99q5r7c+v23WNAXmAXvjevX9un8UgZcgoIoqI5aA2RaltQU0ADtWKSsFwZkCRHgFMBxrNTOAgMKAalOuw82AiEahMJDQDFotHYplWMolExLAQMXiG9roThgGHYmRoz1/I2Hat487ChsXwVwYsiZmdf+XAszNQm3zjaFxzRCpoE8vLsa9UPAMFxW9UFjZuwIJlQJERg9BgRtSguVbF4BxDSti44nTCDYrsjYDLcMiIeduJKUi2wprRRjMoRbSZqCzWTDiV0MZCXDiqYjMGpxSH0oQM45cFqxROa8y2cg8BqwFrOFPR1hCXFTWPghW0g7c3tNUMMYB2DKeREAvOWQZvsUpTjOMIib1GYnhHecdhLcF63ryB69JSzwypgveGORS2qiEGdC1MCoZthQqlGX0KGhUiuWSCUiRncVoxKPikC9F7orEY6xiswTgP1uBANLlGUfyAGt8kVWDfQTUJkLEkY9DjKKak6xWlNXz9SrCe8e1Nouq8AKxSQJ8mtDtknP/pjdoyYUlJ9iXvW3QUTwDWEkew9pEuAm2KbUSTWVFirLLC/qkUv++f70xob6uapycAbcCy3hdhbV+NQkqhz7OYml60pg/WtBnWHkarQbJo6frbrjftjOUwiE7VGHHxt81ZNeb8AWL/R+C06007k9pB8asutL+Wbpx9zcLuq9/f/PD9vjr3Xx37Wj+fD75nUj/Wx/oTrg+A+kfr9Uz2dYTz49nuK0CtFZZVNsIQUNtOXQNlDaRSuN3vbOuO9o7bcjA6y2Uc0caR1ZXlvqKLw+VADIl/LP/g/m8aWwvjptiOyv3LlSUuHMMFle6Y7NnqQKSAG7jfh+az3llZuBOp3NlJiF50QlGJBEZ+59rUp7mNhNNDM9qD6zeewLEzmd0o1bNM6w+fv3sjeY7gA0/j0qskoIPKzrZ2yYBUgsp6rTXtqxu0unbVv9xW2+uz7TGu2b+E9cyophiV7ymTuNJblDIZ6cnSGCYiIwc/oahYVIP8okOtOEYWCr9gmPD8yoICTk3iEKl4DAeworngGXAciALXNHDpcFwI2JabEKl8bmBUUmUTAxmLByonCmfW9rNUrFQKnk94Zi58I7FQ+CcKdzQ7hSu6pQcYIp53Dq4YXIvOosnrxpy5xMJgYU2RMlpmXfhLPRjXQPkS2ErGWI/LhSNEfi2aaC1vpxmXdspRyEJ5MiqNHhzGa5bsOXJgjglVDKlUlhQxKeGM1O6+GQVe4dYdb0dM1SSt8ZOVaKUcqVqjrSZrh5nFtOYLzCeJS6rbTowJ60TWEbxjNnMz+9xYMoxOMWjPXhQpr+RasXVgjInRafL9hrMW5weRIRhN2YMYjqwheccdxVELOh6EaaCcT5y0ZXSeSdE0sxnuN2ELvaN8/gmo6G1F1SfYqRXU+YxKCbtt1NuNuu+gDdlYYVndSPESu1SGCaUNxlQYPPrz5aGLVLU534uAI9U0o1Ub1L4Lq9qAUt0PqrFSj6qfzKmqFW0U1AKhHbMDsq7J7/pZZ5+u+97MdL+Lmayztd3ZP02iN32NoWoTqWodDA3gtnB8Zdrt7/eng3/bQEudRiiF+OUrdp7xgG1gs4PqB9B81YS+BvF3cPq6YvzeONUf16djr1rUfhz4flz/4zH/vfUKTl/XB0j9WH/S9QFQ/2hNE/z003Mz7p/v9+dGuu3PsVCMcsLepAASQj5KhMxQCbcrW6nMpxMqRryqrOuKLxWnB9Z/+0p5X6lBcdxuXNev/Ne9sO2Ro4DXAzlYxvlMuWbqsrPEjCojMVXKt4MvwDuBa8vY3AkEVm6UFsQuLnHV2pF2Agc7CsljTFx5jup7VFTfJF/BpGlfq5fb/2fZfe7lPgYBll0PCt87+ytPyUAHp/3yKwCW4ftTLgACSHtkFTyBqwBbx0CXE5RHJ1RuqtTQXPCxcbxSc+pIzIi96oIno8lUDkYcO2cqFw5mdAOVhgu2hWJVBoYW9S+spW+iCs1A5CsLOzNwxlNbU9WlOf4DgYGAbzFfE/cmLYAdy4omYrlwYcLwT0TuaCKG1GQEPzcOdqAQmlJWMTaZgaNisdw5EzjrmfdyEEl8Hg1vAWYyuiyYtXBxDo+mWkNpzus1ZrId2a0lhRtrKuhrgmHA+4q3itFbHJmYIylnvq07SSv0njFKY6owqzEkqs54W7kYi7Ge/SzZpCklRhTDNKKGxl1baR3S00jJBaMrJWbq9U7xI8Yb/OSpKZOu76jbDWUtNRe0N6gU2NWA1ZFNSb0wKaHXK6MxXNwJczqLPjNnCfx3VpzwbcUYCYPlcrqgraZUWGLBXgbmWkXDOcqYV/31F9Gnbys6xof+E2vFOa9A7bsAr23D7ztjrdyHSeKmimKs4IdB8lvR6MaW6tIC6BvYUdPYdKMa5eR3tJYqwNRawT5FMpmr86gaRVPrhQV9sKYlQ8xPrFSrMJ5do9kD9c8tD9mLlpj7XUCvfRqgulFKWSkH+A7ktSrp6vxzZJ4kAUHRkhvgmW/azFBJa+7rynZfRAZxvzPOM2fvcd49n6MzpX0k38fuHWy+1ox2BrUzwPD83E1R3QgGT3Dax2n9+K/saNeevgbwv9aevsZQfQDTj/UnXx8A9Y/WssC//utz9NQ32P511552Y1SI8oelbZ4qJkpMlJBRMRJ/+x2WRbjCLaJiQClYkuPsBlKufLttGG3YauRf7hGbIjoowrrzz9/+lQsDlzSDruyh8n4slKSpxbGiubHxb0QikRXFws47G5bSmNSdgsLhWbEUDvJDo9hH75HvzU0ggLKDxD7q79d1kPk60n9d3U3f79OZ064hhSfD2qOhIs+RfpcXvN7/9Vivm3l/bf04fWxfMFgMucE0WnAWGMwD0olPXx4titPMhYETcG4gX+GYkPH7paWmSgC/GIk2LLG5/aUQdeIzkZ9JFBL/YOeOQbGwsjWJQeHczFYS0FX5Wzt9kDJRjWLkrwxkRr4gKae3Jh24MPITntjECidgbhFQ98ZWn7B8RlIbAoalAXlHIagToRZUifyFnV858PvB52FE50IoGecG6jRSjEPlTKqGXVl0DFQSs1L48RNGZe4OXM3YwXFRMHsHIbLEyvYtcBjNdY0wes65UIynGsX484zTimodLkXOg8dbQ1IKbzVeG9zg0aOnxEzJ8jupw06xnlw16jKjSsatd8oe4ahQwQ2OtTUdVW0J2oLNjA7i9c5B4TTP6ElA3lIqLmVO3lPHGRTokp8mHe9Q80TNEZsCyjnKICNnFTdyiqh5hs+fJNS/xSlpa1Cjf4TMV6VR4ZCxeddSQtNxjswKtHWkXJiHAZcLej6hPl3QP3+WCbORbGQulzbUEZOfmsbvDJ4PYJpaJ70xAmCtoTbGsxorWtP+a5WacepVY9pbqoyRcX4Haz0kf98pbgBjH8Yo5lnyTU/Tcz917nnZCjP+GKsPoklVKQop0CtRe5xUez3hfmfbdua//hVVK7UUthQZasF17Sg8GdwuPehmpg5O4XsW89WV/xqw/2qAegWer3rSV3PVj61Rr7KxV9NVn8y9FgB8rI/1J10fAPWPVtcY9Y++oXVtat94+nXd5V+kWlGXTLbyhxeX0P/Jw3IjKosqhVoyYY2MURO04f7P/8YRImF95+9fvvK+rJyzYagWdY+4LfN+f+d8MthoMKESiEQKVwpfCfzOlXfuLTK/sDS9pfCKhQ1pFDrQZDbiQ89pkLF+13320PuuKe3j9g4Ie3NTB5ad8fz3VoGmapX1GvDfJQP98v4/OQ58z45OfA9aX9lU6VCCJ2TVDRjr9ixPNW1hgMdHB6fyuTK2D2l/0mQMvzDwhmn2rMqM5Y7mGzc8Atg0BYPmjYP/DcXPZFYK/4WVDfjPbeRumshg4NYMWJYznpmRgYkZ1WBoZuTcArgcE56f4BEHdcczMDGyAzMHhZ0FQyZhWDk4ARcmPAuBhGOnkDE1sqAZUHwi8zMGbUW+kpXC+5H7kSlxISiHqgplDAOR7B3hiChnmIfCRMWWzBgPPpGZKNT7xnsqrCkIAzhPaD/wtVSS91xM4WIN1nrU2ILgR4/VGm/Uw6TjaiBtB3VZxX2vFMm2PNT1hlIKvd8pqVDHQSpL90Nsb95yrCubhnHbMCj86YKPic0btHbosEO2YjZShWQkR1PHQ5i8s+galRezlNJKTnvugVrld6MOAziDtXK8EgLViBRBWfNwqdf9EDZz257ay5YRmjGoYaTGjB4G5lKoVlM/fUYPTjCNM0/G0XsBpjlTG4uqFGL07IYmrSTqzjooYjZTWgteqkhov5UTHGEvM4pK7dmlrwC1xT0p6lPLehdnvuSuqu/B1zRJGxX1aRDqJifvhbXtLnzv5XlqRd1vcozz+dHI93h+oIYoCcPey78ZpdDjgDogrSt8/vwEfH1U/+q0fwWnr+s16ukVtPZpWa887SkAPT3gx9F+Z0/7/eF7o1W//cWs9uHi/1gf6wOg/vH6cdzyg7uyVmTjHgYZpf1i5OzeGGFPj0DJCpUT+dsN/+ULw25Zvt7QKci+tBcGa7leI/uXK297JgXYkuXrupF3S91BrTsmLUwkbsuO9MAXFJpA5UrinYM7kYOdK5qdQG0Da4MhUVFENCOBRHqA067VzNCCkL6v//zxo4PI1xH8f2PvzXZkSbPsvG//g5m5x3ROnuyREkSJAEFAuiGgRxB4wRfRW1AQ30EXehVCb0AIvCEkcOgWq7uqOyszzzkx+GDDP+hi/9vNIjKrTnezuqu70jfgiAh3c/vNLCLcl6+91tp/3doypMuv2c6Ow9bZshGmj/3VZd5+hd31lZI2sCpWI7TpTatCVtNFQ5v15IgMbb6VINB89Ql9iwx0zNwjdC1xNqCGoRsmPhCYmRnbmprAqudkYomZjq8pDAg7XGN2e3xLZAWPNEj9NR0DAwszmcgnzmTOdJQ27nRsI04D75hJLLxwaB8NnhmoHMkUEu8RHtvfkzLBwo7MkiaeyQ2oq0DgwI77mhjwDBIJaaRWTTPoi8MdFsTBrYO7XBmqIxcoLpD7Ht97JPQwJ26p0Hv6IXAjHYMXQhfB6/+ddJE6zZRpIXSOXAoletw+IrWwPB6RZcZHpxFFQ09JGUpCKpTJEUgspfL8+MwsEIOwOGERz8MusssToTqSE7XhxV7B2jwjXUe82YMPSM3KaDrBWdv48YXS9XS7geHDB061aOj/0xP7/UBXKjV4nHcagN8SQOpBx3lKalOKDJA5Ry46XrV2PUuBmcoSO/ywYwiOGFQhLTaJqelKq/PKos4zMk8rE9oyTSlFX6MQlSvEoOBUHLVWpBmlpOjfpNSijKVziEUlweV4xW0YxONRWd++18C6yqon7XudhkWBlnCwnfB0ee2sVfdhof7ztP5s2abb7NeU1Kl/c0OohZoSVfR3Uxad9BVub1fzluWdbrtgxn5abQHhdvSo3W+EhTGdxsIum9cvSyew2o4ytbW3LOz2Pebq3r/WtS51Bahfqi1zYNl+dr+F77cX1nqekNMRaqU8PiPzRM2VNC7M45n55Uh3fCE+HrlfFnKt5NNCyJX88cj584Hy9BnOM+PnIzfHM/vvPvNdVvf6Jyp7fNNMOpbGk31m5hnP91SegTOFl+bYPzKREGqbjDTh8XTMrcW9gtEtUJ1ZzVHwut1ut99UWQyUlUE1W8Pa+3+zMhvWgHKpNkYgADes3O0eyzaN7PDMCHsCuV2lhcQNuaWQwgOwa7FZaqcSdFaUAtwPrGMBdJ3CxExCof3X7azuWRWzDuErBvZE7gkMTXQAFc+Ahss79gw4RkbmxmEXCjN3eAKROxZmFjoKOuFe6KncEnnHwgFPR+AdEUfihNCTeN+u0TMLOxwDmiqg2mXhawodwp4FTXxduE9HHIFSdOLXU+4oFFxx3BDxXcdSPT5UnHP4WjnFnn7oCdFpSz9lHkLP4IICzbTAnNukoowfOsrQk1PCjSfq06ygShxhiEiZSckzpUyuhYBozmie4emJ7DxT8KTo2OWChA6/jJwD+Apx6CnTQhRHXDLnXYQughN6H+gdOC9IHPA1UaeJmjXXU3qNWAvzxN000XtHFsEPPb0PxF2LQyoFXl5Ur34+6/SmGGHoSbUy5cI8J+J+T+h6Qkqk3Y4X5zingncC5wOl77i7+4oQNZ/UCdQQqMsCNSNnDas3Y5MsauSibW9jTKWF7VPRjGYnyGbqkXRxbWGbg94C9r3Xx5dFx0A3E1ERD6ms2s2u02tkGtY3OlP6Xo1YInpfY0wBPQ+vGa2ktGpPbZulmbhulM3tup4hF87TiJxPVBGGYaDb61Ssi5nLgKUdA7zWhVqZ9GB73xZUG5DcdtGMMd0CYlhB9a9iTw0I2/6u7v1rXQu4AtQv18ODvkgej/oieTzqi9v5rC2debm4Q+XQtlkWZJqppzPT84nj0yOnlyN1mjmeTvTzwk2ulONCPk2k5xPz40g9nTnOJ+aXBFWYfI9kdXW/IAx4PjIRm397pPALTjw3rdn3Oj+KzwjSmvfTBexVpgYE1Q60nXPvoUWy/3hNvG6r/23WWzb2r7/mwKqiFfRMj+gZBGDAI3iGFg7VNTDaMTfr0Yl7KjsC0oYT3OPalCga5IPa3PT6Nlcv0DqjYgYNyne8p3LTPgg8I7xDGAiciCwIvgHAP6bjHTfsiDiEyEBiRMh0BHYUxhZfVYkECicSB84szLxDQa7gObPgSNxxDxQd/tD4WMfMPY4HHPc4Hl1PKCAy8LEubeyCtHwDnSlWKNwyck+gb7OxIkLAEbpAkkjY3cG4UEMk50ouArd7nI8Up/ma+31HyZmRSni4p6TMbk703uG7QCqF+eGBssz4caRPC+644GshFQV/hA7vGrhwmiN6oDKNIzKPOC8EF6Ab6LoeFzz5cKQixPsbBU6LtsgTUG9uqe96QnA8lMRUhRw8sQv000TIGR+gDh2lv1eANk86NcqpzEF2A7EUYgNxMk9qADqdNH6rAvu9mojePeixp8TiPM8+MFWdLld3e4a7e/bimZ1jms7c3Qy4+1vwntM00SHE/Q6WpH9709QC850ypkU/qOQ4WwAAIABJREFULklsLXBEHftR2/e1KPNXl9RwVL2AJNkNClz7btWUGsgz1jQleHq6tLdr7BrQLKv5qIXyOzbgzRjExojWytr67tuUqfNZ17CR0ebs37Cm5Ezd37wyFYW+527o6V9eSCKEGOl2O4IZlSyH1SRYlrXaJlRdJkQZeLSxpAYUjW01g5Xdb+dktZUS2Dlvtzdga/dvgeuPdet+x+qf/+t/8xvd37/7V//iN7q/a/39qitA/VJ9/KgufhP+z/Mlc6/Oi74Bnc+auzfPsCyUwwnGkXw4Mx+OnB8/s5sWZJpYzonjcuZMj1t0QtEy3DD93gMv85nHU6L7kEmHynjKnPOCzwt/ROFbzvhmqXmi8nMyH5mYEWY8IyMHDQliJjNf2u+my7QyHu+vU38X4PS/vgIrnIZViTrg0PEINA+/TpI3+G6mKFPhAjyQCKTW9i8tHgoqufG++cK+zm2d92gSbEIZ1htu2LX4pkrlnoJQuNHIel4QFjwfgA9UAhFpgfqljTUt7XesQ2enJk8QpgZuAyPCgGsRYSf1XuMY8G2kbN6kHzzguXc9O0mQA/doGsCxahzVjhmHAvlE4paFmZ49jveq9GQJkV10BKdxRWPOnKVjPwwUL5Q0cvQdnQvcO0e86ZAaKNPCfU2MLlBOI91+IA47Qs6k04kxj5yePivrJpCp9NIT06K6y+A1GD8VZDyDCOclM/WRfXDUonq+qaguti6F6jz9rmMStJUdPGU3UEvBhw76Du8bI1syYZlxvoPicF+pfrFMc/v/b4ab4FuLXNaWdMnIdNYPsRvDj9zfazseLoCsdAN11g+Q535gv9shIuTqOJ1Hursbah/xg8O3GKTqA84v5Fp0PGjU60FO1EX1peL9Zc58dZ6ai7rlW44pFW3vp6Rh+80kJVE1twy96jhtfGoDlDJPMJ7XVnab5lRSe12IjTlsz3G5Xac20vkCTJshjNQYVtN+jqMy502ywDyvbKIxkvOsOtV++AHo0yl8hXBzc8lhvYDSLWuaNikH2/a9aWK3mtkfA6dbxz6s4NLSDN6OOrXK+fXzLvGEG0PU1Rx1rWu9qitA/VK9fbGwNs42mX+7TQjIzZ56d0e9z6TDC+X914h35DlRcubw/XcszxN7H/j07TMHJsJcWSRS/MJhFObjzDQHPhd13nckvufEzIQn8h0Lzxw5thD+hZEDCkwNkv4Uyzz7xsOavnRpJqiIRiYNaOu9sEL4w+Y5BlT/AAWgplstrOmwvj0mbX5Th2su/MwJjehR/WrX4pw8HZkTZ55I7FjYAe8ZuG8sqvCRQGYPJCaeW7RUYuYzhUTka3b0VCqJc9OoRg4cGCh4blnaBCrVrN4DfeOCOyqBiVByyz9IdEUh/ZGFWzKRwBHPhI4IeE/Et/OTLlIEddaLp7hAmRMzXkfoppnR9+A65mWiK5mHuNf57zHCfk/ME+HUPuydRx3BGSNLLZxq5WaZKBKpTjiKEOWMpIqcDwq9g9dWdXA6znSZYcqw2+EplKGnpkSpibDrKbsdfbyhnxfOtVJwuJx18AAFDgdk6JAYkbsbiO9wadY58Z8fVzYtKutK8AqCxhFCRB4/I8u8SoC6jhI6nFRknpXG36nLPY+aGVF3N3AXmOcZKZk6LtTdgL/ZEYZAdZWuj4zZUUrFB0c5vFByJtz32jKfMnXSdryIuuwVlGZqVR2rRB1fSkXBqqihz/I/xTsFpoLqTLfjSC0z9flpddQ3EFWWlmTQzssMQJKVlaXyOhC/Mat1Sfpp0PSso0b0SdfWbtnRF8bUgKXIyprC5RjV9DWt4PGtA9/ySu1mKQNbADrP6+8YfghObXsDnwYiDazb9TIT1NaAZWNZt9pSA6LGnhogfhv0f61r/cTrClD/qrVt7dzfN6F/i5YyrJoz5ekFTidtbx6OlI89p/QdaZpwc2KeRw7nxEPfcz4VnueFvzg80yeop4njmDg/L+SXzJkX/owXZk4kMmdmnhpsOFPIFEaUrXtB3xN+ndXod7FMeNCjzKnxwqYzBdWEmjHpFgWmXbt/QIHpE3odexR07ljHAQztsRMKcHdEoiot8XQ8NSZzoGuxT4FHFu6b1MLxgiNyS6SwEIFPPPPMwi2OwnMD0J47ADKJwEcy3zbFcN/SAkbOeGY6BiYyExO3BG7bIIJKx0OzTnVUEif23PAVE5lEJTfTXGmmq0gBAsI9Ec8dN6gBaiazQ0e4fhh2xBiRlJA5EYNnKZUlVkr0zNPC4XBCouc2q/HHxx2lVsbzyG7JRF9gydT9DsYRJ63VPM34kigCtXrKUiAdCWXBVSHterz30EXSYSLmBRkGKp58moh9xzllasrkGPF3e1zO+FJhNyDO4XxgT6F3mVwzvjo65+jubpWBqzoZSV6eqAglKGARC3lvAEK6SD2ekE8f9SNI3zW28R5EKIuy6q5oBiw3N3A+k6MC1/rQQu1bCoirQh72uC4gKVE9CA7vPLFUdsvMeUkKyueZXYz086SZpU03KqLu+yoKUEEUeNrrkzhknjU3to0tlaAMK8Grjta0nQa8lwU5Hl634FOiuKA602FYcz5bm9vVDLIZU2pMZsucZV5W0GnANAa42StIfGuCatFTtR/W1BR7HQZlXFN6lcN6aa0bWDXWdAv8tlFO1ub/sfzRbXC/maG24NS220ZW2b4MqG5NUVZb/eqWMX0rBbjWtX7idQWoX6oPH+Af/SP9/uXlomGqxgDlrPOqz9rWl3HSkPBxYX58Zv70ien7T7ycjpTTyPRywk2J4znx7acnnj498nI6cp4LL6fEEycEnRb0iYlPHFpKJjy2G6wWJjP+/DoF6e9yKcRSjalsfs4oEKXd/wEFnT3aht8OWjUAa63+cNm3Z2jGI6jNlBRb8FMh45hRQPvMzLGx2DpiNDPQ0TMxUunJFE6ExnpC4j2F+7aCuxyR57l9EPmWygsqL4jMdAiPLQ5sT2Bujf2BQGBipmOH44FjM0gJJ2bOjPxlg7U7hB17XEt8hQWP6v00vL9j9gIlE0LBSeV9F9nXQB8Hqld4W73jFOFcKhJ75tBR8pmUFoY8U44jXYKu99SU1doXO5wkKBkZdDVfFnLXkQ4npGRcFKoE4i6SSkRKIrQRnc4L8cO9tqiDV1bR7Yh9z1ALi2Wde08vjr7vyHNW4OQd/e2O2mtwf80Fl2Y4HnDBtTB7UTYxRmVTa2tLjyPy/KSgbb9DhgEZHta4omlSELjf4YyhC4Hy7ivdr3Oq+2wMXg1R13GOXV3IpTLWjFShzDoNbOgivu+4yfqBJtdCuLuj856wYXNr16lJKiuDKjlTS1EZSEUzT20CUwjKVIKmEQwtH9W+eg9PTwr8Wv6ogaxSBXxcNanGEjqn1zGEFptcV83qJr7qAkyn6XJ95O52jZmC1ciUs243DPr8LXPZrq/ktBpYt1P97FysbW8A1oCorbMFkcZmbvfTXtsva8LqzLc4MNvWQKkBzK3havv9j6UFbNnTa13rWq/qClC/VN98oy+47RM/06RZf7O+sNZ50Tbe8Uhp2YzlNMI4MT8+k56e+L1pZnp8Znl+4S+fzhzmxOEw8svHA5/qzJHKf0/HROEjI5HIOyILjk9kZiYSjs/MvFwsOVon1vlLP6WSdrOgq8g6p0pZTlqe6Jq4auBVZ0oJezwzcNfu/0hmaY15T48wU+lba39BcCwszFRm4AMZoePYJnZ9bhrXgALioZmJHJGZROGOhCAkAoH3wI4zsOPIyEIhU3nG8/ESJ6XxUk/MdHhmZgKOPSM021vCsg8mZuClGaiEwMLAMx0LM4WegPABxzt2dMSmVc1EMr2Pyq/eBp5cR0iJbklkiZyqIKFToD3sGZ8eeckLXUkwvrATx8lV8pIYc+F2H4mpgKvETt38nFQd604HJCdS9eSuMZVDT18yeT4z7yOpZGY/cOsd/T6CD/oB4qt32rlIiRw7Yif4EPHzrHPBCsSSCb7D39zi7lCQOM+qixyPSO0AwUVPFdTAtRv0/7vvlTk8tA+j+z3Sd8jD/RpU3xjCMuyVDOt7xDntrPQ9WcIFJJnuk4cHnUC1LMjQ43vN+3T9jvvzmSk7Shc1l9V7fDMMxf2esLQWuHMKmk1fWqsC46wTrmptmahOXfbStKW0YP4aIux3K8MYgr6ejaMarWrR17rQmMUYtaPe71agtsmAlpI1estA1tYln7OCcFgZ00WZdbltznzTmZoMwNrpzXh1AXQGIkVUKmKmJwOGxpra9hYhZe74rd7UwOeW8dwymgZst+AVXk+c2rrtt2tbnqnt10xcsCYbbDWxV/b0Wtf6tXUFqF+qH9Ogbr6v4pCNvqg27WGpwuID9eEdvkB/94FwnuH5iT/9+Jlf3o58vO85TOr+nuaO0zhzOM30VCaEj5w5MHJm5ETiSL0klW5TQX+KZcQMvB6gquYeZUkFBaeWabrVp9YW1qWN4o6OzDsSR2BmwbM0p/58manVtzW7lh57AjoWHjb7nlizVHuUmR1Ymqb0uc2U2upXfYuJkotUgQZCJzoSI7WdoyNzD7xjvLDDGY2q2uM54ziQgEjEExESwgwIexyVU/uruWHmDodzmh/qHYSdwv4XPD5lbqsyjaXMPC0z4/GZe8DTkZhamkBuIxocZzI4T3aO5+NIB3x1PtGfNVs3DzvGXEnLRBDPUCdlQr3qI33fIW5PFzTe6/b+logQi7aWJXh1nlPxnSPPE7UIdJW419TYXfSaaTHP1M+fkT5AP6icoGQFet5BqY3d9MjTE/L0WcHdsEP6CHe3CghzQhxQC0RlFUs34Lzgbm8uk6BKKo0lhVIz8qAt/zpO1N0ecPhe1OmeF9yUFOedswJq59Y/aO913GguF32mUKEWbePnCm0CHVWNX8So+ty9jkPVpAIFwzqZSVRjaqB0mtSJX02m0F0yWhGhdC2Mfz+srWrLWO0iMo8tUql7HXy/LGpkooE4M5U205XkFhllr5mWSzpNFx1nFfcauDWW2sxfdN3rdv92fWM+LZ8VXutSDZxunfbGXm7B6UZKcPm6betvQamdi4Fi050ae7o1RlltzVjb9a91rWtd6gpQv1T2yXbzSbj6APsmqs8VgtdZ1rlSl6zO1Sr405ny3fekKVPHmeN33/Gz/zjxlzHy7BY+Z+HTfGSaJzgWbuo9HUJiYebM9xz5zBOHBkwnXnvxf+plqa3W0tdYp7VV/x7Vl5rByYK19LkZadKJhfky5FUBGJfRARXVrToU8J5Q6YDb7NO2tWirgGpaz8C7tv0dcINvMFSnRmmcU2l+fC5TrRRwFxwTDxhoXSdbFdRhn1uurRB5onJAAa9rMWSfSaR2Nu/bQIfYnP6JiotR/StAGhPlcGrXQyePQSCRObHwTMctE5GOnpEFYSawJxGAA4UTJ/7b4rjFkwnMqAnJE5gQzuPI5LyegQ+k4rjrQ2MjO0LvCakQo7JdEoL+XyW1sYVhRx4n3O1e82vfq360zguMEyEr/80wILXg+qBAb56RmwGi6l15frkE5MvQg+kgncONZ2USqUhwCkr7npKrtvZ3A27fAvdzVrZ0zspO7rQ9Ld6vYfVNxkABOc8KshHqtCgjmzPVIpVy1qlXOUMXEVcuP1fUfU+THtQKNUZqCBezk3Ny0ZHK0FP3e92PRShtQCldp8DUZsqDuvJDt86rt2pa0AtYp7XxDSQ2MFb7YZ3MZOs1Z7+kRUP6DdQZw2iAse8VmFb0A4QBv5zVgLYNvzem03SnpjU1dtMA9TZCyo7rR17PLyDVslHftuLfGqLs2LbXyJjlLTi12m63ZU+truzpta71o3UFqF+qr7+Gf/yPX99XUaZgmpFRg7fL4UxNmeX5wPh8YH45Us9nZE6cTmfSy8S3jyeeX0bKQccbutPE8vLC98uRhUzHJxyJHZlIaXOBlIUzY+y11mpQBw981e4zsGrf32KaUGMhtSyYf2rP71BA2bV9zaxZpjbHamz7+AoFwgPwEdW/9qwztWwYgGv3G8is5EuSQG33NUhFz2p0u23n9fGyD8+98vIccCQ8HwkUZgYigcrcjrLH0TXVbMExU9jR0+GpLdBfz7/QLY+UJVHbfK3a1ohkzgwtVVdYiNxSuadjR0b/Wid6XJujVTiTWtCVb5mvnmNjqQkDS1oYdwM3MSjwRDgg9NERYod3jpozvibKXDSP8zzi7m8Rf6NZmxTcDp3KdjjjStHRmTVfAuhxHucq5eYeSTNyPOCOLzAeFfT2vTr1Lcw+zQqIvFPT0VebsZh9r238/U5n0k8TKUbOp4nkHOH2Fj8lup2O6KzOU9GcTucWBWXO4WhsKCgjKrIyllHZ0Rqisru1Ik6PpeKoy9LGkjaXvvdUpxpWiToOVgQF2DbqNHbKmBooOxxWUNR1XEaNhs15hu41oItR47K6Tg1kXtbYqTdu9FoaaBvHlX1spiopeZ0eZcYpMy41mYEau3gd+9SOXZxcJmxdQKE57rcOfYuxMn2oHZ+NTn1rctqCRns+rADTHg8qD3kFILeO/y0L+mOmKLtva8LansuVPb3WtX5lXQHql+rTJ/jZz5QNyFlfhM8jjCP1eEZOR9L5zPnphdPnZ8bnF5bTiB8n8nGE40g8jvjPL5RvPuE/fs9TeeTnnJhYeGFt2T+xmp/Usa2MXebXT6b/qZUBPwvkr3ABeaF9tZsONNDvLbPUgP5X6HUe0Otsbv2ubWdpsae23xFlQwcURNp+LGs1Y217ZUwfWA1ZtLWMcc2XY1UVaKKjw2xSgkN4oLDg6KkUEi84/gmBjsBI5YXIDYGAY0aYcNzgiO3Idk0KcGbkmYWeiGfmhkrHjspIbaMHwFPp2rWc2ZOZKUyMzDju2BHVX06g4Js1S3DU9lWIdOIofU/1juIDYb+DlKlkvBNqUKjuayKkTIoRN3TKUN7syVVwux4f1BEvOWnoPW3evLqg8PtegZtzyFfv8RTVuB5OSAZnJpt+QB4eFLyez02fGTRTNHhkeFAQ1fdwd6cRUeg0K/EO1+KQ6v6GeVc4TCNnqUjXUUth8EAVQhWYZiXGbgZthTv9WFmXhOx3a4u4gRWJQfGJoECTqhmv3qteFbSFLgJ3d1Sn059EUOPT0F8yQqWLCoJrUcbRHPEbh74UNYsByliaWcu0kd5r1msDmxID0gVw3XrcxjYOQ4uvqq9n0zcAqoxp037a9D3TnQ7DBZxX5NU1MR2qeAdDv96/beUb6NvmmprL3wCmgVcDwtvpTVuwuY2Rsuea7MDW2BqiDJwaCN2YxS773H7dPnZ5AduAVWOUt8+51rWuBVwB6pfLXvjazdy4NesLWEqJp8OJ8/HEeTzxdDxylzUYPjrPcyrssuAXIRXH98XzhOPIwGcqL9QGshSozBQeSSTWoaJXcPq6blkHtBqLmtr9O9Y4qe2sLAOetT3HNJyp7ec9mpBg29vg18QqI+jatlNbxwDnHgWt1uaPaGvfmFZjdFWjKgytgR6bfz8iRCqJhUrEUYjUFvAfWAj8GWdOLaE1UYlkQvvLGRDuGIFMh8dTyGTuEb6ikBA+44AzA5F7OgaWBmPP6Iyx0nS6Hk8gkYjKWeJx3FGIF6bVc9OOcooBqlC6W97VTMIxdgGccCPCMJ5hTrhBgamkGXd7o4ae2BEQijhwFZ8mJFckTxADrpjmUufbuxiofYecT9rCf/6M9B3leIBe9ZXudk8NQYPla1G2NiWq65D7ewWlvjGpjXUkqR6UTp3mTgo83GsLvyobWAuc58z5PLHfKQAtuXBaFvp7Tz81tnTJ1OaCFzZucRv92RhIa+/LPCtQRdR9L6qPlV0LtLfJT+IUlHadMq2mn7y000cktZHAxlQ2PaZqVRtY9V7ZUmNCTf/ZdRemUEyvumUpS1EGtZmwOJ5WUGrbpqTA1I5tv1/HlJrDvrGJNbR2vYEza6/HqMB7q9G0/RsLOs+v2/XWzt+ykRZ1ZWDQ9rcFjtuWvoFOM0O9nRC1NUTZGgZOt/cZW7o9lrct/m1dQem1rvUr6wpQv1RvX9is2gvfnDNjhd3dPckHhrjnVCqnVClT4uX9zH23gxMcv/1M/fM/YfqL/8JyeOF8+kSisjAT6QhUDpw48tM2QP2qumtfDWRGlBltb8uvck6tbW+A07Y1kGos5m27mQbVdJ73KOBUg5HWH7EytrWtEzb7ErTdH9pNWCUHI4JvzXShcgcMF0Xsjh0FDXrasSMRcGTOZEYKgT0Tv+TEI6sZK6FA+K6dwyfgpQ2y3QMPVO4QhMrDZYDDAiw8sTLABuY1QTNTyI0r9Qw4PMKZvT5fhH1wDFXf9PshMC+F23EiUChdZKmB4COd84Tg4M6zC56SF82pPY9QC/04MwSvet4QqcuEa+3uMuxwEdWLegfHUxtj6hSU+tjyiAXXgIR4BYPioA4D3N5qm7/vkffvtF2d0wWs1VKpqSAhqtu9gY7sIuSqmazjjHOq4cynE3VJ1JBhXghBCDWTxhG5v7sAXWkxXZd4ow3jJ7lFLInGb+GcRjj1/QrEcla5QKdaUnE6IMFegyQtqqtNTRdpekwDpc1khaAsZDMjFdwKapujfsueui68fp0zAArqrLexztZOt22asUgNaGsUlB3LJTFARIHpdtBJm8pH368RWPZ6ux03atOl3obsb8Hl1im/ZXwbeL4ATGNet6wpvAbLPzYhavtesF3TykD/j7Gmdqy2zlsX/xWoXutaP6grQP1S7Xbw1VdrXmBF30CSTmWZPn7WVr845PGJ+f/7M54eHzl+esb7mZcqfHwamT6fODy+cD4uzAnc5Ch0OM4t5VLHS47NIX6ttSwiqrDqSDuUndyzMp3mjjc2taDv0Q8o0Nw6/A3AziioNND6FSuwdSgIvWn7ManFHvi9tt4M/Lw9/749/3lzvIf2vHcNlN7RMzSWs6eQmUmcmYCIo+NMbcdk7HBucVKgINRqq481Nvc9lhygxxeaIcvkC4d2S6yJAxnYEbgBevZUaoPGPQIaWOUFnzM3tbBblCeWbocrwL5nCQ7Xd0QcO+dwXtMsasq4ZcYj9LWwCEw5sZPKrgjh/u7S4mduLe404madQuR3PUSP291T5kT1HgTNLi36G5YuIvd3OqXIe+T9w4UBlFrUDATqgnde9ZtUGKJOVXKOTItomgulaHCbk4qIUEYdYexTxpFxywR9R63aUo+CArTgoboVgDTjjghr+7oxdEU83O6VsWzufMtIxTnkZq/ANC3alj+dNoyeHhe73TqtqRmERAADesOgwfrOrS3/rRazASRHgZpBNvpL2y4l7RaNjWU1ADZNF+ZSYjMwmQP+zdQpfBuzujE+Xdrn+71ety0J0G0kBQZMbbrU29goA5dm9NrqWN/qRg1MG7A0cLqNz1o2oN8c+duIKtvnNkIK1n3aOdvPb9v329b+FZRe61q/tq4A9Uu1LKpDPZ+pZzVE1ZTh6RmOB8L3n6ifnyhLwj2N5O++4Rd/+UvkOHNbwL2MnA4j3zw+8xenA99w4FOLhb9h4dRYtAlaxNG1DCB6VqbUNJs2otRYSlh1pcZ+3rWfzfQUWE1R71BwaeDv+7atOfgj+jsIwB9Cc8ZrGRi0tyXTvd62tT7gGQFP5NQCmGrzsN9S2dNxQ6IntZTTdNGuLqgT3s53YTV2Gft7zwrCTVPr2nks7byl/WyJD9tbZiBT2TFwRhiozHhci6OqQ4/kylwKU565pUC/p3rPOER6AnvncLteoyZr4SSF85yQEJhKpo+BuzYTnlwQqdTiyfsd89BRSqE/HqgOpnGhW2YNZvNeWU4Rnao0qhayOm1XVyruIaqZaOiRaUTu7pDbG9WZ5kVnyDdTj2V/miO9SBvbGQKuKJjJyxoDlJcCFVwXkXlpdjFl7vwQYXEMpaNMZ85dh4hQq2P31Xv6EDQH1co1w1ataoYyYGVz6G2u+6ARTsV5TR5oxibxrrGFi45BbaM85Wa/gihjNhvzKk5WrWU7320o/gVk9X1jmWUFzqWsk6QMQOZ8SQ0wnes2W1T8hn00CYNtt2mtqzP/9X5Nqyq3TWhjQC1uGFjTtpom1saIGmi1fRqj+xZEbt358HoqlF07W9M+PGxTCaRdT9O3bnNO2+/4cuxbcBo2b6lbAPpW+/oWQF/rb1T//F//m//qffy7f/UvfgNHcq2/jboC1C/V8zM8PKiOatT8wPr0Ai8v1HHEHyfC6cT3n585vhz59uMn8uHEMBXSsvDyPDM9nnkez3ziyF9ybhOJhES5zIo/oMCo/JpD+V0vA1zqAV91nmzue4cCQmNKO9Z80h2rQ/4ZBY13bRtr+9saxlLOKJhb0Gu/Y23Zv0PZyDMrwP2w2d7Aat/2bcKMQOYrFFAOLBem0jEz83rE6hFjOvVYvmObkbqe423b1o7RGNAFZVVX2YMGTRUiE45dG9bq8ExUKp5MpTLRNQAt7Sxyrfh9r+M6JTaA4VvrPFNIOBxymCEX5uCZ8qxzqdJMjZFTF+ljhz+dGzuYIRfScWF+Key7Djf0VBHOubAMA7EBOle0HV6rp97eIUOPW2Ztdd/faWC+gZPw1YoRSpv/vtspm1ebTCBlpALzgosKIvKLMok1NtY2JWVKnbrRi1ehg2+/y+r1JVK6SFcrLjj6nEg5E0KgczoDTN33DXT03QoKbRRy35OcTh5LIRBuboghEgUFpaeDnswWeO12XNjSrf6yaUnFbTSaMeqAEAuyhxUEb0CUk9r+AQqEVTbApKxxLcaytn88a3c34ChDv4JSGyG6NTG1tWtp7i/Txaak59P363Eb8DNga9KAcVzB4paF3OpMDezamj9mNDI5g30g2LKuJm+wc9/udwvo7TgMyFvLf6vh3YJT+/1tpQBvgeiPScauda1r/aCuAPVL9eaFJJXMOE3kaUSmWUOyxZGKsBRlYe73twyD43SCZzfztJs5n7+G44n88pnESOaWAeHEyInMxLHNAYK1MfzTKo8CN2EN1rdWvLSxFc9KAAAgAElEQVSfLTbKjEi078/oVbMcVGENy/ft5xnVkVpSwicsU1TB5PNmXXPvK/NobXBd64Aaqupmncg6LtWO04D0npUFfWYN1x9Z2VNr08+oJOGOVbogbR83wJ+jQNWqtsf0e6HDc0umMjaWVdokMuHMwIKjE0cmsFQoAqEPlAxepI0lhXJWqYF4Ty2Z5IQlVZ6cEG/2dAg1z7iiU4yIAVJGPj+SvEP2N7joVQFbKrlotqerVdvuFdxuoO56/O0tJRWKc8jdrTK0Xlk68U4Z7AYUJC3KvBlDSvsXFaECZdYgf3LBlaygUzyURB0nbXmLIGnUcwuBMk0qI4geKQtFHBWnTG7J1OMEzVwVSyE2BrCWijPDUt/rCFZB3ek+rOzcMJBEOLy8cK4VyQW+/44hdtx1kWD6RotJgtb25nVEkQjc3a0t8XmmLBmmZW2LNyPTZc58u25OGo++bTUbQDNzlplBzdRka97cKCu9dbXDDxjTeqHqGxt5PsPNjT6+37d8Wdb2toFSi4I6Hl+DUAPGlz/2+npSk61ttb1WOa/teljb+PYHs2V+L39ErIB3+8dl4HQ7meotODWd8Y+BUbve9vUtiP5brP/9//o/+Sex//KGP+X6v/+P3/YR/P2r5+ff9hEAV4D65bIXKOdIXcdLqZz/IOJ+//eYzolaCnlOfHX7Dn8cSY9HXp6fOR8nHj8e+O5nf8rL80w6VV5++Q0lBObDkWUZSSwcmThSGHWeVFv0pwdODYQaw2lxTGFzM8PTjpVdFdZ2OChYO7KCQ2OoX1inS428Ho9qTv02/+aiyzRDlWWivvA6UsrW223WMQb3AQW4wgqgp3YzIGu61tKeY4yoXQt7W7F97FjTBzwr+2vs7pHKEaFyyzuUTVVDVWHGt5EAhVPVlIATQldHljFq9NQiFAo9jiKBsQKlsHhHWWZmH5HOsZwPpFzxMZBjpMYAeaGGgOsDfQy4lNoniYAER7i505b10OOcUEKb8BQi9f5Oc0ZL0WgjJ+pIrwL7e8UyTtRk1A9A1cD4eaY6T6lotJL3uBgouWp7umV0FoyN82owEs0TxQtSMq7z2rlICaHgu04ZwOawl6G7gJMaO1zfop1SUiBt5qDYUbsOdjsdgWzA+Twync+MeeEmqO61dh2naaSPoU2RanmmJg0wILTfv84uLZnyMq7t8H5j3rEpSg0MSQyIVAgO5rQ68lu73TS7CtaW1zFOTS4gVFjaB2cDlM690qPWio6fNQDpnB73TseqWmLBK0C7ZYQN9G60tD8Iy98CRFiP225v46cMLBrbaWDX9mXgHV635q39v2VDbQ27b2uq2g4CeNu635qi7OvfcWv/f/r2T/kf/9ZX+Qdev/htH8C1flVdAeqX6o//GP7ZP6OmzPz5M+dvv6cTYT6eKOMnPj4+ErLDj4Xpm295/uYj+XxmeknI85nw59/hPo2cnw6kz8+k8pnMMyeOTFRGFsZLsNFPt4zJNPOTvT0ZSDTpgzGKCf3jnTbPoT121x4z178xlZ4VvPaszntjbXtUn5rb/rfH8UvWnNOH9vXrtq8FBaDW7l9YXfYjq0lL2v137Th0utQKTM/tuA0AG3g17asHviIQuGkDATSFdIfQ4wgETizcELjHE51wLDNjC9G/dZ59STyRCAgfwh5XAr33dD7QJQV84jy7lIhSSU7oOsfU3XJznvFDT8ZxEuEuwK7AHJymr97e0vtI7HsFNp1OJfL7np33ZAfncVHA5D07p5Fbrgvqgt+0WS/sqV8d2BKVFazeU1JRsDrPuBh0BIJzkAul21HLpFfci0Y2FQUxdZ5xwSlOmZPKBhz4WqlxB67FLBmIalmdDmXnpO81Eq7NuKcftBveWvlSS9NNtrGsjXktfcTNVaOyxCFRNbG5Nve7MX83NxdQJbm1x+dJUw5C07P2OwU/NjLUgM9uh5SsbficQTatadtuWVa21ICTgc0NABNBkwiM4TQAuNHaWtTeBcjtdut50K5F8KsMwfZhbfytAx/Wxw2kGpi0x7Z5plZ27gZC3wbub9v5xqxur4cBzy1rujUw2XW6APmNOcqAsR3HVmbwFoz+FsApwL///f+B85VB/bX1P/9373/bh/D3r56f4d//+9/2UVwB6hfr8RG++QaenkkfP5I/PXKcRo6fD8g4Mn78xPllou5v+fzN9zz+8nt+/u13+ElYzhAfJ/w3Bz7xkc+8cOCZI2dGFmYK59/2+f09KWNLd6zM4h1rG9+Yx23b3lz8p7aNtectj/SJNQbq91AwSdvPh/bYCyubeYOCXWM6zXTlUJD5DmVh4fW40yfW/NMFbePbFKoPKBgdWXWy1gnt2zme2nH8IzTJdEJ4wjGh7v+AUAgInplKpW5GnS44KgOOjgVP4oaqw04LzepTiQzUUpoet2cAHtJyyf7UKZOCBI8LnriP2hpPiWcqSwZubuFmIAh0XUTEcd91zF1HioE49PR9rxFbTpmzmgslF7xz3O539H0ie0eshS5GZQ+9v8Q/iXeItNioolkKtRQYR4oPmi2as3a/F9E4qJyUFUXARTVndbExe9ra90OkppkqXECjC0Hb5W1UqDQnekWZN9cpWygiqoPd73RUKigDuyzUl0Nz76usoHqv+wekX0PjffHUWqkiuOgpRXNRw7t3qik1TeU0KRs8DBql5RwEE4Tyup1sBp4YcSWBE9WVblm+eVaWUxy0Yye6FXQZUCpFg/xFNAXgooHdlIiyrsaU9v2FJd0yoOJNO/ojsVNbF7sBxR/TbhozaTf4IWNpLPMWdJpbH37IgtqgBNv/1qG/lQ3Ydd6OS7VrujVFbY1xbyUBb8Hob0l3+r/9L/8ruw//zd/5uv+Q6mqS+pH6t/8W/uW//G0fxRWgfrE2Ly7eeeZlYTwrrEx5oVZPKoW/fHxkHme+Px3Ji+fz4cR4ynz36YXSAs9zs7sUKs/o4Emt9CuX/10va13D2ua2vFJzqk+sINFa6jYBygxNz6ymJXsbsNb7H6FspzGota07sI47tbGoBjILK3tpcoM/bOubBtVip8yQNbXvHQpIv25rD227r1ljsSwv9Qb97e+BW7p2/o4DmYHErsF106cqO6tjQgOFPRoDdUKo7Njj2nMq7nITCmd06KbT1ALfK/DLBSeVlBLpbsdSKqHr6GKH32nQeudhigF/s8f1PdUJtWSCeOLQE2edMe+ipw79ZaIRKFB1LVw+UOlqc49XdEpUUsAhotdhmRJJBI+oAcnc4BVq1uEC1YdLhBW1aYHLokCuMXDVe42iGhqbGwKub+NNgwIe5+QCUmpFt7nZI7GBW0H3hbbPa2MftxhGwV9EvCBikVK6QV2SMq2lMAw9aeg5zzNSCrXC4B3dNOn5Bw8xUJZMVWpV/8LMlLN17zfj0ZpbWlbTkpl8Snkd7WQgzNrssGazmkSh61bQup2wVIpea9DW/RsmVX/R7fc69D9st+dNd2jLltoxGbg0Q5UBxbfgcKsvhZVBhtet/C17agC2HSMpKbA2VvfHgPHWvLXdzxZc23noH9L69S0Y/TFw+lsAqte61j/EugLUv2p5T4wdCHx8etEc1Fwpu1uqBMYZDv0dL5PjvJ/5vD/y6ZT53H/i09MjS+pJp8q8THzmGwqJ1Ybz0yljSi3TdGBlPaXdOlZNp+k4LXIKlG00Daa0n6f2s0UwvW/7tzIdp+1/aes+sLbUb1Gg2G1+tsD9U1vjHSvg/K5tbzFP37CONzV2tbT7jPGl3d9tvveYSWq+3G96U4vc0pvj9xESjkQl4bilsKcjM+KY2BGIjUuuFDoqA4UJB7KjOGEnwnB7g+t7pO9I88yxFE5dj7+/hVLZ3e25FdFrVhJLLpyp6qr3jmEYGEJARJA+UjuNgiIlHDpWU8GZahglN/NP1+njNUFt2suUWXLh4D3nacJ5Ty2FGHruvCO0NntZmrPecQnlv0QedfEiCaii5yUla/yTMaXO4XwDvF1PdU4jrvpO2cUGRKx1XRvoqUjLI/UQPdU0ozWreapmmJvmFWVc2e9xOV2OMaTEbc50IZC6jhAjPRUfog4MmDeOeGMct+AIoO9xoYGhaYJTY0Rte+9bjFVZAZu17w10jqpfvWSX7nevWUEL1zdQGoKypMPGNGVGJQOlBmytfW9M6ZbJNTbSwNkWNL6dSAUXOcIrh74xpVt5gjGmBioNZNr+7X5bw67v9rEtYDcmdSsZ2ALKX6U3/VXt+1/FtF7rWtf6Yl0B6pfq4YH6+38Avw+hwO4P/xD56s946DuYCvU08/k//SnzYUTGSt4d+O7TZ/7Dz/8z+eyZxpnx8cgzT4BvcVJPvPZi/26XTSmKrPFJ1oa3zFJjUXtWV7q9rFvrfmuSMo3moT32Di7jYW0SVMcKcM/tuQPadjfj0sKqZ7W2uwFYM1lttbFDe64xpQllRi0OKrNmllragEkFYB2jaoDZ8l4jwpmAkADHgOeG1AaN6jwpR6Uj0BMRHCeEHQt3LSOger1y4oUSe9zQQezZLzOdq+QY8A/vGLzD7/bUXKjAmBbmsnAfAxICUjPnvmOpEGNESsLXghNRU3rXs68NvPfaZnY56ftwY+nEaQtcvLuYbYQKUcPzq1unBlUR5pw5LZldETU6eccxZ4KP7GjO+5uh6TfDBUi4oU048l5NQTHoBx1bt+8uwKn2A3XRbFEdJIDqNK1t7FROUGd1xYsxq7Vq677vNLEgZzVtDTrPnv3uYsxxoYGhebq41w1AhlqJgk6OaiCrhvgaCBnAMpavVnXgjyPkBZJfdZCNZaylwrB7DUiBS2h+03/KboC72xVk2TYGUM3N7wPsutf6zva7uvx+mzQCkZUl3TKl8Np8ZKyjAcVtG96mUm3b6PbYW3bVAN9m0MCr7NG06UYZ22rbbvNP7Tmbc3+1n7fHsgWWW73p9r7tV/tdXsHpta71N64rQP1SffMN+KBswjQTvvmWh7/4hpAXzp9n6vFM9833nD698PTtC4dvv+NPfvGn/PL0BAgLlTMLn3hivkCTn44hytrmgoJRe4uwWKbWoLxMebppPxvYU2ZxZVAnVj3oYbONheUbH23jO02zakDxA2uOqLGTfwx8Rv8Zvt+sObJKAsys9cDKvJrh6rYdxwtrAoH9llXbGlhIfAQSHprYY8SSBBy3rRm/0BHQNn9sCtpKR0RaxoPD7/fUGHDe6+x3EZ08dHenTON+jxMFNi4lIm1+umvB6V7byV4aC7ZA6HY49DHnQKaZLELtPMdcmebSYoI8VSrOe7wTZUJF1IxERfZqSHJSEXOYO22ra+u/Kubwog78XBGnetvqhXo3kNo0JWoheY/sb7BZ9hKCgkvnLzpXefegACwtGnhPvZiWqjik1qYTVdOOiFcQKqIjPEPQYwM1Yg07BbTN5ERsTv2dAlE1XCn4EWnsat+9ZvMaMJKSUbJYQVJdFv2jMJAFq4GoASWZRmVl34Kitk01MGqMoLGU0/QqJ5XdbtWDbgGpfTWQHLvXY0W3JqWNQ/4iBbAIJ9N0GtNpwLnfZKVabZ3wxmJu2+Rbw9GWOd624LdrbAHglmWGlcndAlM7l21G7Nbdv42hehsX9TZC6m3m6ltw+laDut32Wte61l+5rgD1r1ld7Nn3O9wUKAGyZLxEjmPh++cTf/F84JvTuU2LgoWFJw6/5aP+uy/LAjXAZiyoAU3TYlpMkrGr5802PSuQ3OabWmj/h7bGNvz+Y3tsG3D/AQWUAwpsDXya9vTY1rX9L6zaUGvVS/v5GQXape3XUgVugD9A2/7fb45ZI7LSBXTvdKgmHf6yniciBBYiYopX3wKrnCPse/Y3O4pzjCEwUyEtdEXov9prC1o0KN6VDNIML0CWoFrPLuK84LwqUYWFklUjGmtlPBwgdKq/jA4piU4cyzwyj2f2ouYpPJyXmSTQm0av69pYUGA8vdZNis5fr9PStKMOhu4Clqu53UnklKm3tyCOKlCWmXBzi7vZaZzTMl/YO4FLrqZI1Zgr7xtAU0ZO0nLRGlbnL2Cqep1zr9uoiYq+b678Ts1ZQ3+JR6oV3c/5rG32XQOiTl4zfKbZ9F7Xq1CXDF0DXmYsMrA06eAPQlCW1MCQ/6Eb3Ixbr1rYpjftuksWKyGsmaUlg12Dutm/5bQa6Gsh/a/m3Nuo2KahvWhSTecKK8g1s5aBvGl6rd+0496CaQOQ1q43QLsFmna8WybSQKwB6e0EqG0Oapsg9gPwCLq9rb8FuG/d/QZM3+pU3/xuLj/bOldweq1r/UbqClD/KiWir7UI0Qd2XeTbjwfSNPJ0PvLLp5GfPz7zn8cn/uTwzInKgjCRGF8ZoBxrYNLvZtkkJmNNCwribFoS0LI5V6BqIfae1R1vLKTFNdlLvIFFYzUt5qm223tWhvMBbb+/B75ibd0n1ORkcVPG4+xZzVeWrvCh3Wes677ty5jgF1RGYPmkxtaamcsTm5whMiDcEnAMVISRhYUdcb/nxTmWKHiqnmAIhBAJtSoALZV9KfiSKMETu55YhU4q4kVb1SIU3yPzouAkRkKdkeBwZYICtQSN/kkJaTmYfU1qvkoTSIVcGWplCJ5zyricCb1XtnTOOBGKd7jSMi7JKyAxHWTXUWh6zxZgX50CtxrXDE3xDvY39ALD4ciJiveVUir72xt651qwf17zSEVb+HVpWtFZpQQSAjRpAXBp6dZcVGMq0kBcvLB+tR+QXWN5BXBCFYs0UnAry6KsrFdW9zJ+E1aDla05tNCyJjFgGNoUunEFRa0V76QqWN9qQA2QxiZNmHVqF7BOY2qDAl7FQtWiWaRpec1Ueq9DBAyQwmtQvXXLW6QUDfzXBjbfjvd8CyxtotSWqW3X5vI8A4AbacKl/W5M7Haftobtc8twWm21qLaegdKtFABet/K3UVVbLexbALo1Rv0q0PmW5b6C02td6zdWV4D6pfrDP4R/+k/VKJuhTon5u+95+tkveXx84he/+JZfxAe+u3/gz/7fxOe88PjtC+Npz1ReoDGpWr+74NR0oQYezYRkLn0zR9lNWDWcBuosHN/YVwO3NioUFGx+zRrPFFFwaBOYvmZ13t+2x/btZlmo5qi39R9ZjVIPrL+lkZX9tbzSO9acVTDDlCPT09Nfsk0LgUDPJFFxTujIolrGUitVtKUdlkzuHLVm7nC4/Z4yL4yi5xZC0ExOEYL39EEurUkJnlL1w5O0N/bgNezepQxFJydpfFAz9ngFFFIzLirg8gj3Dubaxu96Ty+VEILOpAo7JHplk3s1OcVhry1fM9OIaCxS113kBJSirOmwGmi01c7arnZOMYUI9w93zCLkWojB03eBUPTjg3ihGnBxLVIqBAWOBrhmBaFVnAK5cbywolsAIk5UNwoIOvZUmbh2XUWgFp34JKJMqbFtOas8IMaVuXRtvXleGUQDU5uJR64xx6/a2eYmD4F6OrdPWnWdwmRA1ICXsYxNCgD8MI6pxUNV+1hnwMwAnQHErSlJpIHcZW3xt/tftdjh9TSpLbje6kKde2W4+gFwM1C73Zcd/9bUtAX1Bqq32tQt47s9P7texuJuUwDgta52e552jbes7RYEb8Ht9v4rOL3WtX7jdQWoX6j68RP1z38OpzPlnDh9/x3f/MefkT6/cPjuI//h//lP/MnP/gsfHw88Ph75dvmOZw6sU+R/t0tYwSno+2uGS9yTgcBtu9+xGqEEBajmwN9qRI15tSD9Do16+v3Neu/bzzYV6mvW6Cjbp+lgaWvbW0xlNSk9YlmpQibwCYCBEU9HphDY4dlzj+sGSq346HD/f3tvHiNZkt/3fX5xvCMzq6q7uqdnuLPLXXK5ELnLBUTJtixfBK2VIRKCeEIQadqUYFuCaFsSBMMmIMGiaMoiaPigKMuCJYo0QGllE15a/0g0aWIlCDRBEOJ9aIldes85d3r6qKrMfEeE/4iIzKg32V09fVXVdHyARFW/fEe8qOx63/r+jvCKitgGyY1gRywe50M/T9U2aKWpjGUce1bOUVWC1zrkr85bjrsBNXZ4DF4LahYaro/KoJq4drkOoXDX9YixDHh6ASeeyijaxqJF41Zd0AxVHUP+LrqLetOXVJQgqtrkPirxGKNprNmEgEWF5vTtODJ2HUttQtsmbdBKMyjhTRRGG2zTol1wQ0Pr0okLFl3VEC4e0XWoXE8CJeWS1kpC2oAJaQmh1VNY7ckrHfuf+uCiz9qNyEn5nW8pTFkstmFqCKLOu+CoxrzYtA2tEG3e6vZZi9M2aI0kgrpuuwJSqrZPhT5pHHFeN3mp0clEJAhnooB0MdFDadjfPy2ikjuZxNQYOyOYanuf6Zwi2zlNYfQkkNI+aWzxfRG2zm9+zRSyz0PvSYCln2tqmp/P99Rpbdut2M1zUvPio3St5JSm+UpdCJJYTaI0/aGQ2mKle03b8j6pSZjmlfrTMaaJSMI0vbdLbO4SrEWYXnq+5vt+evN96Yl6sSgC9SziA827sHziyXLN0dEJd46Oefn1N/jcq6/y6ddf5eSo486w5mhTG/5skELknu1SoenXdxKNyYXcj1/TCk1JIJJtT+vQnxAE5iFbVzbljO7HYwzwpWzbOq053V9020xfYtV/E2vhBxqEHkuNYQ/FNSwVlgZFx8gLDPQ4HArHSIVmH0XNGJbS9DCMHmNGjE/LbCqcVyxtTEkYPfUwMGs1mpGqUvSjYxgGlAfjFdw+CWvGM6D0iHIK74Ndb6oGfxJC2vQ94h1agasMncDKh8r4rhf6TrPX1Chl0NqDkiDi4oNVVHAWVRSeIoRm9lE4inehr6YJKx2NSlit1/TaQBvSE4LjaejWa+7EHE4/DjR0LGazsKa898FhNHHJUuKypDjo15sQstISlycNbiWSCcOuC71AIYjbeC7qKrijxoT329l2SdF47ZCXGou/3ID3KlTUS0xHUCo4yt4hbtjmcEYR40a/ySeR0cH6GMmc27esHJQ5cErLVjQlsRMFbNBRsYCpabeuXxKg6TUMp9o2SVNvRWMSb/Fn6ke3XWI0ObFJiMLWvU3nHYYw3FzoTQuHkgucXMRcnKY/ONLCAsndTKHwPJ9zWriUzpWum6cD5NdIgjltS1/T/WRFW2/Ztut86d850/D8/RzT3EG+1/YiTguFJ0IRqGcSfgGl33F3jta88sXX+dRnX+LTn3uNN+7eDStLDStucYQ/FdJ/Z5PEqLAVnHlBk4dYkR7EYlrJScdjXNyeiprSOvZ5VX/K5YStI0p8/xpb9zWNZ05FRYtH47B0jDjGKFQdClBo9gitj0LxlkGjAYejp6GiwaCxLHH0CAaFxWIY0YxQRRcwuVHjQO09KuZZ9v1ApaBWDrM6oR9V2EcLTWXxQ48aQu/NmQaH51gZjApz0FhLPY4ETSXQGKSpcSh6I6yGnlldg/MoBWvtGUzNfBrO1gpV280a90k0CD4WyntQIM5vemiuRXE8DCx7j1QWJ4rKC3vW0gGdKGa2DkVAzrHs1qHMaxaWutR1qIpPOa6ChPD2OML6BL8iCC+J6Qkp3JwtuSkqCuIxhLR9XYexQmj1BKHnamrrNIb0Ad8PmfumQjW8DSJUVBRAepub6tc9HJ1sHFVJoew8JzKJkxRqj+JKxSVbN04dsikQ8jY6qklAJRGU1oDPXeasNZS0zVbkJjEXC5NSp4Fwf5mwzN3EJBwh/FEjbMWlc5ByUZP4y3NI07lgW4k/GcPmHnLBCqfd0bxoKQnxPJ8zD69n7vBmTvL0gdw5nbrkU4GZh/GTyM7Jw/PpuPRzhdMu8vQaZ7mmabyFQuGxUQTqWcSQp6s8K6+4ZVu+gOHT3ZJXjOZNazlSFcd0+GdoRah8def0azn1Kk2CNQnOim3VviI4oHNCIdKYnU/FY14jiNPr8XwpZzUUHQU/9QBiN9AqCk+PJqxAtGLNQEPNgMFRx/OsgAGDRnBoajQzdChMQjBR1DpGYMDh4z7hv4miw+NiE9YVJvX2RNACyiis83AsDH14WCoNo9Joa5AqLrEpof+omy9CZX1lWSih0go39lRWUymNUaEFkFgddIBLBUoe09qQn2pjiyQ3hJQABeBRRoJo0xZcWLFJ1RZf243T5pViXIfVjlJOp3eepfMcr1bMbIUgeC+cDD1WG0YlhHVPBxQOrzTKWpw4VLcKDqZS6E2lvmzcPz+bB6EchYP3BDczpiF42OQZeu83fwCIDZXmknJY0znz8K4JxV+ySSuIubfeBwd1vcIN7pTzFjSGvCVH9VSIOAtBKy1sKve1bMPcOrbQyoVfEqKpwCeJ27rejhlCOoVWW1GUKuVJmje5jpNCpuSKJrF+dLQReGmlrFPXmbaZmhYi5W5r2i+F1vN2T9MweNqeO6ZJlCfBGTsVnOo1mgRp3qc0vT9NJUifizyEnwve3L3NQ/u73kvkTm6eopC7s/l7ed5wcU0LhadCEahn4Bd7+L19vOp44+bnuXnrFn7wrI8HXv/C53np5c9ytDym5w7v9P6mKdQubNeoF7Yh9dQ8P4nSmryiXrFPhQKuI1xF4+k4whMWgzXcwKHQLBgxOF5gn4GR1/C0sQL+OQAa5rjQtxMT/VFFjcdisQh2UyIyoHHRZTXM0WgcLm4LIlcjjAzRZ1VmDkOPMATJKyBK0FUVntEoTK0xtWYk9Lp0yjBog67Cg8/EivPQEik4gV4bVOwNKoCtTFztSKiailo03oR2ULJehbQBFZrjS+o1IIIdR9bKgzKoRQta0F1PO2/RNoxRSXREZdszdEypCcNA5xy99+jZAqsNVkVxZBTjeoVvGmjb0LezC+kFzhqqyrLSgmobpKpBCVp5mnaGatqNMPHDsF3JydrgqEYhFlZ7UkGoSsjrdJtiKL0RTir18GxSiRwbsSRJKEahFlaqiiLRaJzoULke3TXBb4rNNmIxa2J/KteSMH/U9eniG4j3Np4WQaKgrU+7fInUHD6mB4h3bw19G7NdlrRutq5jWiEq5bmKbEiJSu4AACAASURBVFsrZbmqYnTozJAEXy6qcsGXBNf9wt9Z3vApx3FXFX3eQ3TapD+/Rto3Cdd0f95v5z92NjglAne1oUrb8lWpcrd0WnCVfkZpW+6I5sfn/VLz8xRhWiicG0WgnoG/fRv/5i362ye8+snPcPMLr9DfWbK8veb2m3c5Wd6N4tSfea7LxR5sHGGNpaKhYc0xwohE57FFM0exh+AZGTZNlTQWzQEhFH8D4TkExTKuCG/QtByiuEVPheIAOMIxYBjwHMe16PfxXAVeQFDAbXpOGJnhaRBaFAcMGCyGPqYeVGhUbFHlYjbpCGFFeFT0TXskFDlRYQ0b8aLnNdqE/pPiHTq6n95YlFI40QyEgiPwaLNdycj3scCnrtBW8P2AtuHBqn2PI669jkdVZtOjU1UGVYU15LHN5iEtld2ILGUUcwH6NathZGREPMytULvQ/1QERtH4jZABtw4N5gfvOerWrJ0LwtlYKm3Ym80wdQ1Ng5m1SD+E4qpZi/cO6dbUbUOjBddZlgiiPM45WtFUQ48cDZuCJRn67QN9HKM4DJ8mF1MJ8ibyymwFiR+GMK9dFGbL5SZ/FNgel1JvtAnLj8ZzyehC6y1j2VTgTwtnxjEU8UhYrlO8O92jNArhVFCFqK24U9n5IAjodBxsryGxMt7HvNYhiGVf1adDy3kPzhRudw5OTraiKhNn4f4Bt0112IirXATmVfdJ0OU9TOG065uHrqeh9+Qu5iI43WfKG83THfJ7ScfBVpim79N4kxudF1ClMaX90/3sCt/nTmnuluaFYdN9poI9D+Onc07zVRNFnBYKT5wiUB8A54Xj5YqjkxWv37zDS6/e5OadI24fHbHeeIaXiRRsh20TKMe2UVTap0WjaeICmy06ruu+ZEbLFcLa4y3CHMUcaOmZRzdzjkMYmdNT0cfg+UCFY8HIDOgYMIQq+jUpDL9d9Sm4oUkAd6yjr3kDz5wajY4rUoVV6D0zDBJXcvIoFBqNwbPEohkZacJZKrC6xlQVxsb2Q4AMPcpqdG0YuxHEMLhQbNUvT/BGYY0OeanZ6jqqCUkN0tabteiTuEz5oBiNsdGRcS64pSk/dBjC8X0oVFE2ClcZgxPrHayWGDzKeWql6AeH9mA9KNszrEdoGrwiVHvHfE5ftXilWa9WrKqKmTWI9zilWa7XtLWlqgyioelGRt/TrYO898NAawxVP6C9ZqEUFhgETF1TVRUmjl+GbQ9WnwqfhuikxtC1EmK7JrZuaCYWNs5pDFXLOASH1UQB6wh5pXYr3DeCYZeTF+caCK60ycXm1mU+5bAlcZS/psU3af8YzhcVRaE1GzG1cUbT2FJoXiSEvqfCKLVRioJq00ZLRVFa2a1IzAVWnueai+w0H3m/z/Q1dwnTPrvEW5q75Dgnpg5pmpNEnjOaXNP83/lYcyGazjd1Qe/l0qZ0hLRvvuLUdH6m2/PPyDT3dJcILcK0UHhqFIF6BsPguHX7Dr/7mZe5+eZt3rh5k9/69Cf4zMuvctQfEWRVEnhPm4aQ0Znaz7v4fQrGd/H7VMI0xmNU9krB+JEQuF+TMklrWiocGhXzSIPz2VFzSI2JGZvCikM817CxcMlRMeJxrGMbfR3D9g0DS0KGZ08QeVVc6vMYGPCswjpBHOGZ03IFxRwdS5Q8+wgLLBaFi+swDagopF1coyn4pY6RkbB6Us1Ih0PrDjHCTClm2lOp2IC+raNQqXBK40ePqit0pelEsbSGXi0QpVh5T2s02lpsbDGkJITQRYem78oNiArumeBQGlCCdF3W4ggY1qS16sVoVGUQCekGKAd+xKkKvOCaeVwtyFMpjdXb/8JDasWk1baAq+tDQRcOnGdYLVF+RLuQz6lxDNrhxh4tBu9GrDUstKIbR8ZxwFgb+tNGF1MDc5NCrTqsX7+pirNBpJ6cIDHPM7RT0tv8yCgUJBYmpTCqk+As++T+JUfVbyvjRYjfj3GpL7UVOKnQKiuyUemPgRhix29THzaOYi6eUkg3CZ9cAGU9TZH4B00SuLYKjnVyaUd3WhQmB3Iaik7jj8JH6mwFpNyVzds1pRWfiHPRdacFXh5Cz7sO5O5xOja5oSmdIG3LhSNsQ+B9f7o4Ks1jNuebf0/bUKXzTNtW5XOQV+3n+bLTOcnHDqfvN11787PI7nGXOJ6evwjTQuFCUATqGRxXFa+geNUYPieaLzjFbbXPsX6NNZ7wlDwvB7Vnu1K9IwjSgfBjTbXtaYzpF2xaAV4TBOrI6RXnw7sLLJqT2CLKxaZMITC+z8hV1iwQLCMGzyGKK4zUwCx6oA7NAsVdFB6PoUEh1LiY76lRWOb4WDzlucOaFzHoGPKvUOwTBFJoD6WzBAOFKE9vwzQcqwZrKtoqCBwjHqeg1wo9UzS2isVdwqxRGGWQUXAx7xPxJP0UiplC+FK0wvmRceiYmQplDeBZjgONNdQqCOBUUS5WxfzR0D8zCRmZtbGq3W9C1ro2m76PG/MOFURf6M+0EZs9Qgf0w4ARReUcxnMqRCpGh/HHXFhl9TaE7Ryt3WNYrxCtEWNxEhxSO29DYVF0/ixgkj6JrZB8EsMSCqxQKohxpTYFSd4DVbyXJORSyyQb0ifc4OJPweMzsZHyVTdiDX+6ofw0PzGJCWNQuNPiKC5R6lNRUh72zp20vLAnXSMPNYuEDgBp+dB0j4B3sSTQE9zQVLyTxpiPOa8Uj+9tiqPS+HKBNc0l3SWc8vB4LgSTwMzd0nS+JDJzRzjr3brZZ5oCkM7VNFvhnueITouL0r0mJzQXo9P385SC/A+O3MHNc4Tz80wdzzyNY+rg5qJ0172VMH6hcKEoAvUM7rz2OsObR7z8O5/hc7/9KT7167/FnS++ztHNNwndOs8zvJ8EZloHKbmn3Y5983GmtATLtk4+lDjVKFpqGmpa5hzQohnxdFg8CwwLDPs0KDw1hi9hzlUMs7hn8HNHPIYqBvY769DWsqgcJ/3AyjtuCTRYTmzHXIRrsxnXXEflNWvtmeuwepK1FQsU2g94A8fecbzqGb1n3Z2EkLzWdN4jdYOZGSo8S++4NQys6anGAbUeaHXD3Ib+pxqPl+B0iSOKVIPRCjHEJS9DEZQHzGKPSiQ4otYyugGaFltXKBsbs8cH3qaoybkoXsPqR6LD0p0p/O3WIVfTjcMmRBw05+mQ5+A8R33HeuwJPUMHKhR7TYOZzcJlo3OrMzdoI6ziZ6DycQlTJITOlaJpGqoUTh6H4HiKICo6sXUTUwxCGNubbWHR5hmeVjeKLmda5hTYCFQvKojg2pwSGZsQfy6q8hCsz+bSqG0lvMgmhO6TyymycXI3AiQXUUmATc9/yqF1m5ZWjCP0fRDkeb/MqXMIp6vOk3hM85KWPk3kqQRJTOXuaO4W7nJBc/cvjTMXjdMczTSulK+axpDfw1RkpsKm/B5zFzmRz03eViudM3cp0/2KnF4iNU+vSPvnbm4m7E99TnKBn48v/xzlqQNTp3dKEaWFwoWhCNQzuHN0l5vLO7zy2uu8/Potbt26zeuvvk7HTc4nrJ8wbLuELtl2HE0MBKGaFvo0BPd0QXBPZxDXUdLRBQ7BfofCoqk55N1c4ZBD9qlUDzJgqoGDesaVRQ3SUVc1+9UMPYaCo5UfcK6jNpp5XdO2HTeP7rBc3aKzDUej5mi4y1pOuNY0mNFw6Hr69QmqMbiT0Ezc+BGrFLJaY9Y9Xhn60WFaS6t8yCl1HUo5ru9ZZO3wxrBmzeigGxxvrlbcHNbstQZXWYwyDAZUrUNFvlZoG/qWusHh8SH31ISHvxrjGu9eMXrPMHaYWRMKobzHeGi1w6oR3w+bfEGlQzN8iM9GpfB9yGXO3SQfm9+nB7u3Fj/40LvT+7BMqAuisBtH1m6gUprBhd6ud4eeaoBmHVsxEdzBJITRoXrfezbXMHXNHiPVMDJ4hzGWyliMbCR1eEaPI/Rx/Xo3grMh/GwtIhLC8FrjkyiLHQtwDu9jxTycCmWfevZ7IIXIU/h1M2EEIbrZdSvWghB1W+fQu62wyqvA07mSWPL+9KpJk0r4JMa26QWT/MW8DVN+I0lAxfGLi3mfbtzuHyq5TueIpjB8LqDylkr5eNOYU3g932cy/lMCNncu05hzdzgX6Em8p/fSyli565jPRy4803tRzJ/6w2CaF5tfM98n3WPudKdt+T1MrzntYbpLYN6rCj9RRGmhcCEpAvUMXn3ti6zudnzu8y/z8muv8cXbdznxtwji7zxWjErh+YZtK/uG7Y/Ssc1HHQiLg+4RwvdL4ApQo6kZeYmKkYYRjWNOi419Qis0i/Y6L1y9gVJr2kqzkJrn5jMqp6nEhKU7+w6va0ZGKlmzVzusU/hxTWOFk5MeZxV7Zo/WauzQc+u4oxJP7T3Wd9QCbaPpxgFtFUdDR60VgxNmtkZVFb0WcD3GjtTa0IwN4gzVoBARxmakGx0ngFGO+VwzGMMV2zDXCoewFo/Xlr6qaK1Fxj70B/VrrPiwwpIzKBecHq08OB9zNT0YYT2swIWOr601tIyoLrY+0qFvqfOCV2bjRJ4KNToXmsl7goiJ4sSPHlnH3NQoDjRjMMm1xo0OlGc9dKxxIIoT5ai0sKgrTBIP1m4a2QueUD8UXN9U+a21ZhbbIonNwsNZbqX3BMczhe8hiLco1lIj/SBshLhc1OY+JRd4+fnzFYiIukJLWCY2bdBh9ajN+fIq8CRO8tZLXbfdNxNn6Q+AzVjyNkJ1/dZw8PQaKac0kTuF8XLRct1W1OcuYt5rM81Bfs3UKzXNxzQfMo0FThcNTec07ZO7xfdzDafto/IQdzpvfo58bOn+U97rdN7zkHk+prQtCfqcvD3XrnSGXOROc0Vz0ZvIxfe9ROnmB1goFC4qRaCewdG65wuv3+Izr7/BS2/c5c5yTXjSP21xKgT3c034san4tSKE5yvgdhyXivu2hCKqtIZTcFnnzJlv2tB3VDQ4Vhh6WtE8v7jCvG7Yt5o9vaTSA13f4dzIyisq3aKUo9bCbAZuvE3VgBsdZlBUoukH8Oou2q+o1x3XrMGshX695CprVK95Xiu8go4OPyoOqhrlPTKbo3HMrEaLp+vWrPoO7Xr6Dho6WhQVDvSINopVN9IZj/OOTmAcxuCCacWoNKYKy42ioakFb4KgrbRQmYp6tl3zfhN9ldhYXwtqHNnrOlpccHJVaMovohlFgrDM3EAXnVOUCs/5cSS0JxLEVkE8ZiJApTzVmPvqld5Up4tW1LXhzaMjRqWYVxXOhObwvTH0Vw6ws9lpoREf+F4U4zjQjwPDOGK0ptIaE3tv+kw8i4QxewjCLom7anbKCd1cYxi2FfS5oMkFhDEhdULrrZObiUGfrzWfHEc4LWRycZa2RRG/qZJP489CyDLNZ0xCJ4nk3LXNr5cfZ+3pe5zmVOaOZC4K4bSIy99LQjnPC00OZB6izoVquvc8pJ3meSpS8/HlQn/6s8kLiVKR0TQ9IM3N9Oefi/3cVc6F465r5gI5v4cp0/vPhW6+fz5X+b93UQTpheWX/+t/77yHULiAFIF6Blo0Rhru3ul5/dVXGYY3gLtPexQEsZlyRoXgjiax7NnmoA4ER7UmNGraB4Q9DmgZmKNoGJDYIOuAOcKSE5asOWHu99g/arjWGxru4IY7VNri3BJtFFJptFa0ytKqiu5kYJQRWzvaSmGVpq40GBiXPScy0jGyEENbC8eDo+strVV0OFSlGFHs1w3XmkW4Qwdee0ZG7nYr1rXhyv6CWRPyM5djj6pa5kojrudOv+Rk7KmV5tBoZsZwNHbUbmBmNT2eUQujGzlsW5RWdAJ4z1IpRmMxdY3RId9UVSaGpNUm1I4IWgTjHU0M23qlNyF1n0K5WUFHyGmV0OzKni4U0spvwv9iYvU6snnYq5gu4EXhlaIaB6r5jFvdGt20eOeYVWG5hL5toGm2ea9K4WwQ3KNzHK1XrHqFmHDuxhoWVWivFYRoJgBztzcKhE2lfe7aZb0olSI0r89c4lwMeKXC51RnYi0VvKRG7XB6/qJwOSVq47e5eyq5wMnDw7mYm4qd3DU05tQiCKeEVbqX3PVMgi1dL4nU1KJp2rc0dSPYJdZy0er9Nqy+K1d1l6uZi75cpE3D6Om4qXuZ54nmLmU+P34yN3nIPR/jrgK2/NhcOOZieldu6S4hmu+fX7eI0ULhHUsRqGdg9IJhWHJ0e+R4eYfQsXNXEdKTIjml6Uel4/cLiDX2QaRWbIVpCPkbrrDHVQ6Zs8+MGsUVDC09J7zGYFrmVcNo1hyNLcfDXQ7bKxy070arGl/BvDHYRjGMa2o1x4mBpqGvKqra0mrBtuDtDCOGprVhyc8qFArNxLMcOzwdqxHG9TF7MrAwDQrHOHbYcWC/WdDszQGweuBkvaYTR9et6ceermmpKotRGrVaMmjD/t6c2o/o1R2afsneYp/KKKxS6G6F86E4RRwMfuS6ram1pl+vmFuDcqG/5rLr6JJgcyNegKraVM9vQvXex1B7zKf0canTMYgY5YMzJ0Jszh/cVJ3ElcoewD6tdEVY2tM5pA7Lmoad4zr18YFvpOaKePo7nkoUpm0w3jPgsPEB72HTvkn5EdD0fce671m0DSLBMT3pQo6wtWZ7D9MwqQ9tqUL+6bgN6ecCMrm0LhN0EN7L13dP+0cR5Ed3WoRMwrYibNoyyabKeyIAcwGSnMe8jVNegDOOmx632/vzbxVCuSuatk17ceaFULmYzfuD7go5TwVafu2peJ3e41SEjuPp/ePPfXPvuSOdfd5OzU8+9qkDOnWCcwGZnys/Ztd95l9z8Tz9+d1rvqZ5pfcTnUWQFgrvOIpAPYO7d495+aUVr71xE7jD0xGn6WGXck1TAZQhuKRzwkr1c0JYvyIsKLoHzKixzNjjKlfZ299jf26ZLfY4vHqAVRqv7iD9axjTMbqeYViz79/DgdHcOHyO1lqUEsZx4M76iFlVs1dXXG3ndH7NrD3AaE1vPcpYRmuxxqPbGlu3aG1DVFA8lRW0GxjHHj+ukXHAGwdjj+8dtR6pjWWvrtG2QmlhvT6mPzliZmvMesVJdxfnPHpvRmsUqlcczGfMbBXE8Krh7npNbWtEhHEYULVlZiyVUTjvUMpQW8NytcQbUDF0K6NHuo5BBNrZRoAGwSdBcKpYDQ+hSp3oOhLyNUOupw9V/LEZfXI/8X6z3jwS0wfSszSKkY05N3pUEih56D0WPLVNzeF8znq9DvfpHa211FUd2kZ5B0ks4sE7xr5D+RE1Dpt8UtWtGb3bCA4vWb/QJFxyEeTkrU5XvMfNffjoCG+KVib5kln4OLSP0ploBcbhtCAR2RbcpG1J+CZyx7bvw67TkHGeB5ofk+4zFRdNReC9RFMe/s6dzrRPvu/0/TQ3eU7n9P7yPNScPI1gmmOai7n8/bR/aiuV399U0OW9SfPxToX0VITmpDHcqyhpek/TsU/n8F4UMVooPBMUgXoGv/Opz/CJT73Km7fSWkdPktREvyGIU0sQoRVwg22B1CFwNb53AnQIlpmas3+gUWpk7+A5Xrzx5Rzsv4e6HlD+DovFnOUyFHfNhhdQWqN4k5n0WGXYnx9ycHCdvr/NXjvHMHB08ibdcIytLdLuM9eeerEfzRjHvD3Ai8YaRz+c0NctVV3TVkGgArhuwI0d4hWeEVFsqtPrylApwZggGK0acccdi9mM+azFDRX10nJ3ecTaaHTd0Kg5upnjlIAWbNNSr47p3IgMwXmbVQ3zqgkuYba8Y+c9bhgYbI14z+gHBg161oQQawxVK0VoB6X0pjWUCEGcKtmGtON5k0iVym5yTkWH9eB95pz52HZqgwjiXMhBzUSFiN+4mEPv6JxjGAeMyOY/rdGGSkLaQaibktA4P3UH8B5jbVzyNDiTTsI+tqmDKJ26ZckhjNs3bqfOw+aZeNQ6Oq1ZX9HkgmoN+G2xUSqoUlkYfCrUEju2iRCEbS6QtY7/JzgtkHY5k9N80Pz80yKfXUJJZPfa9um9qRDeFRJPzvODcC8huOu9qQBN85PmY9cxuYi+lwi9n5u6K+/zfmOezk/+9X5zUCgUnkmKQD2DV16+wysvrwgV8ONZuz8kQhCfTfxaEXJHK7bh/esEl9QT3NQawXKFL8EwoHmd+fw2lTYs2jn7leNLlOLqIDTasBwN/asvMbcdjVbgBhpZMHgY3EjTGJ6zYLs3GcYT9gdLVcGy8qy9ol8eU3U9eIeslhgjWGNoxw4jsYq9W1HXFfv7s/Bc2QiBkWV3TN+twXu0hra2HMwaqj40uWfl8S64kG61oj8+xmmD1sJ87HHdkpk27I09tdaYbrkRhlbA9D3rIRQCaaWpbIXSHaPZfsRFoBoH6nGkO7q9EVKLyjIzgpERsT7MsY9fax2Llyx+dIgS3OhB21NrwnvnYggfJHtIJ8c1fyBvnL48V8/HnqKTB/0AHB8fsx56UGHVpsYYFnt7WKO3oessr1Mycdc4x7BactIPsZ+r0Fy5gm1nISUgFyPTYqS8oX2awySk0zXz8ab7yYVgLmjy3M3M2dxokDQnU3cwMb1evs8uYTh1BJPATOea3n/aPs33zLflTIXctI1Uvt/UGc2vdy9xmO+TC9zpsbsc4rRv/jWfx7TvNPQ+Pceu43N2zXH+9X4U8VkoFO5DEahn8OZNza3bDrhJ6CP6JEiiNIXz9wgOqSa4pEmkHgANNYo5c64sKq4vXmSxaEBuYs2IUp69+T6NmXF175CrezVVBfujZj2A0sc02qLNGug4WY+su5F56/HqhHUHlTW0taayIFQwrLkyO8AaRWWFg3YR8jFlzbzxKA/eOUzl2d+rqJtQ4autwljhZLVCTjRXrlyJrS89q37NOKvB1qH/qHiS3mu7GX5Rc7xeMXpHPwrzwwOu7O1Txwbs3gdBmxfP1KJoY6haSXA6RYcq+uTmWqWoXE/X9XSjQ2tLVVcYa0HYNnz32RrxAFoFlxPQmSgRYSvi0r9zomjJRar3nMrh2wjW7BxJeA7LE7o7d5jP5qEczntOViv6+QJb16EAKV9DPc8RBbT3zIcB2/cM3RpjKyprMamwJ42BTGAldjmJ+fXy7en7VIwznT8JcxhEVfyat2ZK4f6pcITTlehT8ZszFW+cnufNzyN3NtO+U1G7SyDuytWc5tLm45yOb5fjmTPN65x+fz93crrP/YqJ7ic48/HvGncRnoVC4SlRBOoZfPazLwP/H0GgPgpCcD+TS5oc09RA/4BQ+GTifocE1zQUQgkL9jHsz6ExV7lx5RqV3Wd/fo1ZregdzOYzZm1LPZthdM/h1T0WbY0xYLQHMRwdN7SmompGjk9uMyw7buy9l9msxVpPP6xo5y21NWgB4ysO7XVmbUXTzmgqQ2U0noG7Ryes+n7TcWa/rdg/WGCrCiUepcNKP3J8TLXaxzZN6C0qgu7W+LrBzEMLLK38pmWQ9Z56ueT49i3WyxOstQxKsWznmHmLthXayOnCF5GtyaTllIAREUS2bpj2nlYpZtENFD8RkUlgCacamEsmqLwncyxPV++n6yBy6r1ceG5KpPJjMjcreYi9F6ga0CYurelBaYZNyDwLGeer9MRxioD1HptyEdN1vAc3CTXnwm1auZ4EOdFZTqJa5LRIcy6MN3f8cvGZ9s/f2yU0c4GUO4i7xGN+zC6XMvuMnOkS7hKF03Pkx+wS9PdyI+93/V3XmAre6fh23de9mIrOXed4EIr4LBQKT4kiUM/g1p3fAj7Lw4f354SneXJGU37pASGv1BHySN8NfAmhTdQrBAH7ZexVDfv7LzKfXaFqj9Earl99gaZ+nrYd2ZsL3XDEzLZo06NnClPPOLz+buazK9SVomklaBk9MueI7uSYynp033Cgnufa9eeorMFUwjicIMoym7eMw0DdGKxoaqtC+h1+s9JkO/Q43zP0HdpUVLGyP7mXRJez6RcMd29j5jNwHuccrFfYxR5Sh7W9XSYwZRzACJaRL3nhRlyVyLNcnjDszagXi3D+rGpZVLZkpotLVmaic/NcTYU62fg2IjUJodQOKZ0HH3Mn85V+2BROqSTAnAO/I4SbFa2cyujLRUcuVOO1EcHM5/hxxFuLKIUbR7x3mPkcaZvdLl9iGorftZwkkFac2jiE+XKZ+fnyseZM3crpOKbHTUP4uXjaJS5zAZy/dy+B+XZF5nRbOmZXu6epeJx+v4td7uq9zvug59x1rul53o6YLMLzHcl8vWS+Oj7vYZzNrVvnPYJCzvik0hnfHkWgnslnCaLx7ZJEaMojvUJY1aklOKOeEMZfEMToewm5pbdo7btY7L3Iwd4BTdPy3HM3aGqLMSuMPWExX7CYVVjjQY6wpmY2ew9Ij5c7zJuBF64Li4WnbQas8cFoUx7nDH6/RdSAG/foxzX7c4fWPYKjc2uuHFTsLRQiVTTpPG7oN89DJeF8aPDeolobQ+gO8Wv8GCq6/ehQeKphoB49R1+8iTFBNM7rihkj1q2jWAqzJgKiPethjVUOqxxCEI+9H2B9gm2ynpgRP9xfh+SiKBU0+WgEpvdEmBQwZcf6t55nw0SLnRJ/cO//7GnFp13aIF6z1oq2sixXJ4govHe0dU1ts2Uts/GTu8ppCJIcPb37YlMR9yAu3VkicLofnO1sPoh4u1/o+l7cz5G837XezjXyfe81x7u+fzsUEVl4m9xt5/Sz/fMextlcu3beIyjkHB6e9wiACyZQRWQBfD/wxwkx7n8J/ID3/h8+wLE3gB8E/ihh/c9fBf6y9/5nH21UDyNO5wTReRV4nlCZPwe+NL4O4/s3gOtcP3DM53dZzNd4WXC4/3t4z7s/xMEVxTjc4dphy6yF3tWMg2LethwczDFqybJz1BbmM6GqK/p+jjGea4cj16+Nm7oXrYMwM0ajdRvNroHV8i7DcBSLfxzXrjQs5hprx8xQ9EjqfJXEUHIcBdK3m8VlVAhnex32r62iebrvqgAADolJREFUqVq6XjMOA9ZoKmuxViBW9W+q4OMzuK0VwzBi1IiI4JzDGEfbmt11NPmG6HxutJr3W+dy6uyFHbZfdrl7uXiZis/svY1+eBCxk841cSRP5W0SPiV7+3vUXccwDBhrQw7pdIWge6nzXcLvXsed5TaexS53cde2+4078SAO4q7rP6hYvt+13871CoULzFE1o2sWZ+943ly9et4jKOQcHJz3CIALJlCBjwH/KvA9wO8A3wF8VESU9/4f3OsgEamBnyXYlH8eeA34T4GfEpGPeO//2RMf+YYFQYweAL8P+DChPVXoXbpor/K+L1W85z3v5sr+u6jrjrZVVM0JRi2p65Ebz73AjecWaD2wXtcYs6SynnGEur7ClSsLKqPp1p6TlQbfU1cepTxdP1JXlheeN+zvb9PhtA5CMl9yHAxDv2AcLcMwoERTV9VG/KS0wSqK0yAE46ExHXKXzhLZruee2jKBZka9EaKJafP6dKHWKkYN675DKcGLZ3F1n9liEVonbdzBHSJhGhLOHdBcoObvZ9tE7nHefJxJ9E32O3Xs23HjdjmzEQOYXaL4Xt/fq9/krjHdb3z3GdM9z38/YXmWs/ioFMFYKBQK7xgujEAVkW8A/jDwHd77j8bNHxeR9wL/nYj87977eyVG/EfAVwP/hvf+5+P5Pk5wUX8Q+ANPdvQQQvfXCK7pc8C7ed+L/xZf9cH3cOOG4n3vfZ6Dg5bVek3bON77nkNms31EjhC1wrmWpmlZLGqaekHbKqytGMcDxrFDSc84GrSuqCqD0Z5hmLHurnDr1hsMw11Eew6rmuvXDznYX2Ctwfnw0BYBN25bGYmS0O7SNcBeqGMZ/aZ4RyQU8nhkIzJFCDmbxFB4dDw3kWbklJuZi0il2LYoykPSm4udFn5GBD1cpUvOoTFUVay2Dwft/jGIbEToKbG4S6AmpuH//FyJvHo8L0S6lyB7EEGYn+csMXiv9ydFUWeKtAd1Fx9kTGdRBGOhUCgUHpILI1CBbwaOgJ+YbP9R4B8QROb/e59jP5HEKYD3fhCRHwf+WxF50Xv/hYcZVNu2LJfLe75/cHDACy+8wI0bN/jABz7A4eEhV69e5Su+4iv44Ac/yGw249atW7zrXc8zn89xzrFcLtnf32c2mzEM9VtFmMl/LDXBfd3NMLRcPzng5OQEgNlsxmw2m5zjwXiIoCpwT6n4yJiqwsxmD3HNtzZCL1LpISgCs1C41PzMX/xaPvShD533MAqFh+IiCdSvBn7bez9N+vy17P17CdSvBv75ju3p2A8BDyVQr8bcmCRSq6ri2rVrXLt2jcPDQ77sy76MF198keeff57r16+zWCxYLBZcv36dq1ev4r3n8PCQYRg4OTnBe0/TNFRVBYAx5qHEZMIYw/7+Pvv7lyARvlAoFAqFQuEBuEgC9Rrwuzu238zev9+xuxqVPsixqcDqucnmrwR4/vnnef754H4uFgv29vY4PDzk+vXrvPjii7z//e+naRr6vqfve6y1NE3Dcrnk85//PFprlFI45xjHEa01Ni9yKRQKhULhIXnjjTd48803T237uZ/7OQA++clPnseQCpec7HNTnec4LppKul/S21kJcY9y7HcDf2XXG7/8y798xqGFQqFQKFw8vumbvum8h1C43LwHODcRdJEE6hvsdjpTQ677LeX0KMcC/C3emvv6YeCjwLcR2l0VHg/vB/4R8I3Ap855LO80ytw+Gcq8PhnKvD4eDgnVuTkfBP468B8Cv/TUR1S47FQEcfoUOyC9lYskUH8d+HYRMZM81A/Hr79xxrEf3rH9QY7Fe/8aoTXVBtkWiPxL7/1v3u/4woOTzeunyrw+XsrcPhnKvD4Zyrw+OUTkUwSB+ktlbgsPybmHjx+2cPtJ8JOEJqLfOtn+XcBLwC+ccexXisimnZSIGOA7gV/w3r/0mMdaKBQKhUKhUHhCXBgH1Xv/T0TkZ4D/RUT2gU8C3w78EeA7Uw9UEfkRgmh9v/f+M/Hwv0dozP8TIvI9BDf0u4HfA3zk6d5JoVAoFAqFQuFRuDACNfItwF8Dvo/tUqffPlnqVMfXJj7kvV+LyB8iNOX/YcJSp78CfP3TXUWqUCgUCoVCofCoXCiB6r0/IixV+ufvs8+fBP7kju2vEpzVx8XrwF+NXwuPjzKvT44yt0+GMq9PhjKvT44yt4VLj/hHXc6wUCgUCoVCoVB4jFykIqlCoVAoFAqFQqEI1EKhUCgUCoXCxaII1EKhUCgUCoXChaII1EKhUCgUCoXCheKZE6gishCR/0lEXhKRlYj8ioj8iQc89oaI/JiIfFFETkTk52N7q2eeh51XEfkWEfmoiHxSRJYi8mkR+fsi8oGnMe7LwKN8Zifn+X4R8SJy35XVnhUedV5F5BtF5J+JyB0RORaR3xSRP/0kx3wZeMTfsV8nIj8jIq+JyJGI/JqI/DkR0U963BcdEdkTkR8UkZ8Wkdfj/+XvfRvHl+dX4VLxzAlU4GOEdlR/Ffh64BeBj4rId9zvIBGpgZ8F/hChDdY3Aq8CPyUiX/tER3w5eKh5Bf4rQt/av0ZYlOEvA18D/JKIfOjJDfdS8bBzu0FEfi/wXxA+s4XAQ89rXBDkY4RllP848MeAv0VYw/pZ52F/x34E+H8I7Q//E+CbgH8K/BDwPzzB8V4WrgF/GqiB/+vtHFieX4VLiff+mXkB3wB4QvP/fPtPA18A9H2O/e547B/MthngNwnLqZ77/V3Seb2xY9u7gA74u+d9b+f9epS5zfY1hHWVf4jwwP+N876v83494mf29wMj8F+e931ctNcjzuuPAytgPtn+fwO3z/vezvtFWJwmtYa8Huf5ex/w2PL8Kq9L93rWHNRvBo6An5hs/1GCKPoDZxz7Ce/9z6cN3vuB8Ev1XxORFx/zWC8TDz2v3vvXdmx7Cfg88J7HOMbLyqN8ZhPfQ1iZ7S893qFdah5lXv8zYE1Yta5wmkeZ157wh+lysv0WQbg+0/jIQx5enl+FS8ezJlC/Gvjt+B8z59ey9+937K/t2J62Pcvh6EeZ17cgIl8OvJfw1/2zziPNrYh8kJA28Wd9WKmtEHiUef13gN8GvlVEPiEio4h8XkR+QESe9RD/o8zr3yakSPwNEXmXiFwRkf+AIK5+8PEP9ZmiPL8Kl45nTaBeA27u2H4ze/9JHPtO57HNjYgY4EcILsz/+OhDu/Q89NyKiAL+HvAx7/0/fgJju8w8ymf2ReADwN+Ir48AP0bI8f3RxzfES8lDz6v3/heAf5cgSL8AvEmYz7/kvf/vH/M4nzXK86tw6TDnPYBz4H4hkrPCJ49y7DudR54bERGCOP23gW/13n/ucQzsHcDDzu1fJAipP/Z4h/OO4WHnVQF7hDzLfxi3fVxE5sBfEJG/4r3/5OMa5CXkoeZVRH4/8JPALwB/BjgmCNbvF5HGe//fPNZRPnuU51fhUvGsCdQ32P2X4mH8uusvzMdx7DudR56bKE7/LvCdwHd57//R4xvepeah5lZEvhT4PkL+aSciV+JbBlDx32vv/TTf71nhUX8XvEAo3sn5J8BfAH4f8KwK1EeZ1/+ZUFn+zd77MW77uIg44HtF5O9773/38Q31maI8vwqXjmctxP/rwFfFMHLOh+PX+/WH/PVsv7d77DudR5nXXJz+KeA/9t7/+OMf4qXlYef2y4GWULn/Zvb6N4Gvit//9cc+2svDo3xmd+XyQaiyBnCPMrBLzqPM6+8F/kUmThO/SHhWfdXjGeIzSXl+FS4dz5pA/UlgAXzrZPt3AS8RQkv3O/YrRWRThRp/CX8noU3HS495rJeJh57XKE7/DkGc/hnv/bOewzflYef2V4Cv2/H6VeDT8fu/+fiHe2l4lN8F/2f8+vWT7d9AEKe/+DgGeEl5lHl9CfhXdjTl/4Px6+cfywifTcrzq3D5OO8+V0/7RejHd5PQCPrrgP+VkH/z72f7/AgwAO/NttWEvzI/C3wHoTDiY4TWKF973vd13q9HmNcfjvv9CPCvT15fc973dRFeDzu39zjXP6X0QX2keQUs8C8I7Y/+XPxd8ANxvx8+7/s679cjzOt/Hvf7x4RG8n84zmsP/Mx539dFeBH+KPo2wh/0Hvg/4r+/DZjdZ27L86u8Lt3r3Afw1G84/HX/Q8DLhF6Gvwr8ick+Pxb/879vsv154H8j5PMsgZ8HPnLe93QRXg87rwQ3z9/j9enzvq+L8HqUz+yOcxWB+hjmlZC797eBVwi9Oz9BqOJX531f5/16xHn9FuCfA68TOnn8BqFN2vxpjf8iv874ffm+M+a2PL/K61K90qoUhUKhUCgUCoXCheBZy0EtFAqFQqFQKFxwikAtFAqFQqFQKFwoikAtFAqFQqFQKFwoikAtFAqFQqFQKFwoikAtFAqFQqFQKFwoikAtFAqFQqFQKFwoikAtFAqFQqFQKFwoikAtFAqFQqFQKFwoikAtFAqFQqFQKFwoikAtFApPDRH5MRHxO15fcd5jKxQKhcLFwZz3AAqFwjPHTwF/arLt9fMYSKFQKBQuJkWgFgqFp83ae//KeQ+iUCgUCheXEuIvFAqFQqFQKFwoikAtFApPmz8qIkfZ6yfOe0CFQqFQuFiUEH+hUHjafBz4s9m/j89rIIVCoVC4mBSBWigUnjbH3vtPnvcgCoVCoXBxKSH+QqFQKBQKhcKFogjUQqFQKBQKhcKFogjUQqFQKBQKhcKFQrz35z2GQqFQKBQKhUJhQ3FQC4VCoVAoFAoXiiJQC4VCoVAoFAoXiiJQC4VCoVAoFAoXiiJQC4VCoVAoFAoXiiJQC4VCoVAoFAoXiiJQC4VCoVAoFAoXiiJQC4VCoVAoFAoXiiJQC4VCoVAoFAoXiiJQC4VCoVAoFAoXiiJQC4VCoVAoFAoXiiJQC4VCoVAoFAoXiiJQC4VCoVAoFAoXiiJQC4VCoVAoFAoXiiJQC4VCoVAoFAoXiv8fl8J0NK7+qIwAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (hax, Fax, rax) = plot_MC(F_bs, r_bs, par, eps_Sr, eps_Nd)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the range of possibile $r$ and $F$ values are not independent - there is correlation in the outputs. It might therefore be more appropriate to represent the uncertainties as a 'field', rather than simple confidence intervals, which does not incorporate this correlation. This is particularly obvious if you look at a 2D histogram of the data:" ] }, { "cell_type": "code", "execution_count": 379, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 379, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = plt.hist2d(F_bs, r_bs, 100, cmap=plt.cm.Blues)\n", "plt.colorbar(label='N')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### ARD, Mantle End Member" ] }, { "cell_type": "code", "execution_count": 380, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 0/5000 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (hax, Fax, rax) = plot_MC(F_bs, r_bs, par, eps_Sr, eps_Nd)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### GQFP, Oceanic End-Member" ] }, { "cell_type": "code", "execution_count": 382, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 23/5000 [00:00<00:21, 228.31it/s]/home/oscar/miniconda3/envs/py3/lib/python3.6/site-packages/scipy/optimize/minpack.py:161: RuntimeWarning: The iteration is not making good progress, as measured by the \n", " improvement from the last ten iterations.\n", " warnings.warn(msg, RuntimeWarning)\n", " 2%|▎ | 125/5000 [00:00<00:20, 243.38it/s]/home/oscar/miniconda3/envs/py3/lib/python3.6/site-packages/ipykernel_launcher.py:17: RuntimeWarning: All-NaN slice encountered\n", " 23%|██▎ | 1160/5000 [00:04<00:16, 232.06it/s]/home/oscar/miniconda3/envs/py3/lib/python3.6/site-packages/ipykernel_launcher.py:6: RuntimeWarning: divide by zero encountered in true_divide\n", " \n", "/home/oscar/miniconda3/envs/py3/lib/python3.6/site-packages/ipykernel_launcher.py:9: RuntimeWarning: divide by zero encountered in true_divide\n", " if __name__ == '__main__':\n", "/home/oscar/miniconda3/envs/py3/lib/python3.6/site-packages/ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in multiply\n", " if __name__ == '__main__':\n", "100%|██████████| 5000/5000 [00:22<00:00, 219.39it/s]\n" ] } ], "source": [ "(F_bs, r_bs), par = MC_rF(gr, gF, Sr_params_oceanic, Nd_params_oceanic, 0.71149, -3.9, 5e3)" ] }, { "cell_type": "code", "execution_count": 383, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Drawing Lines: 100%|██████████| 5000/5000 [01:22<00:00, 60.58it/s] \n" ] }, { "data": { "image/png": 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W8YL8uHUrvQcN4sJmzVj1739z7jnnFLq9bmbXzWSeOn2aNV9/zZxXX/WrV61aNS7t0sWvLLJePc4kJOQq99WpXTsWLF6cK0u5zTu+Nq8lrlydO3cmOjo6z3YXZWJUTnFxcVSvXl3BqVQpmiQlIlIFtf3NbwDYs29fVtnFrVtzaZcuWa8WzZsD0PT88+nRrRvvLVzot7D+hs2b+Xn3bgbeemuB3/fTtm30HjSIZk2asHrhQuoVIet6Mj6eT1etokvHjtSoUQOAZStXYoyh3403Fvo6+Rlwyy0kJCayaNkyv/K5H3xAk8aNuSyPYQOuO7zrpH7++ed+5cuXLyckJITu3bsXu2179+6lfYAJaiKVmTKoIiJVkDv2csOWLXTu0KHA+tPGj6fPoEEMHjmSh0aMIObECZ569lk6tmvHiLvuyqq3/+BBWnXvzr1DhjBrxgwAft69m96DBgHw3Jgx/LJ3L7/s3Zt1TqsWLWjYoAEAw/7wB5o3bcqlXbrQIDKSX/bu5cU33uDY8eN+2dKFy5bR57rrqFNKWcW+vXvTp2dPHhw1itMJCbRu2ZIFixez4ssvee+f//QbCjFy5Ejmzp3Lnj17uNA7sWrEiBG8+eabPPTQQ5w4cYL27dvzxRdf8Prrr/PQQw9l1QPYsWMHO3bsACA6OpqkpCQWLlwIQPv27f2CUY/Hw/fff8/IkSNL5T5FKgoFqCIiVdAFTZtyzeWX8/Hnn/PA735XYP2eV13F8gULGD9tGrfdcw+1atakX58+vDBxot84UmstmZmZfpnW9Zs2ZY1fve3uu3Nde/YrrzDcG+R2bt+eD5cu5V9z55KQmEj9evW4+rLLmPfGG3Tv2hWAxMREVq5dyz+nTy/RM8hp8ezZjJ0yhfFTpxIXH0/b3/yGBTNnMnTAAL967v35TigLDw9n9erVjBkzhilTphAXF0fLli2ZOnUqf/nLX/zO/+ijj3LtDDV48GAAJkyYwMSJE7PK161bx6lTp7g7wHMrbcaYLsBzQCegIZAM/Ay8bq19L0fdbsB04HIgA/gSeMJau5ccjDGPAA8DLYEjwBxgirU28BZaIoDx/Q9MshljOgBRUVFRdChEdiGgkychNhaK0JWlMah5+3F86XTlFej22+G77+DKKyGfnWdEKrpFy5Yx5P772f/jjzTNMcM9mH20dCl3P/ggx3bsKHDyUqmKj4fISDiL3/nb3/6WvXv38u233xb6nO3bt9OxY0eAjtba7YU9zxjTExgKfAMcBmoDd3vL/matneyt1xb4HvgJmArUACYB9YAu1trjPtccCzzrrbcK6A5MBuZaax8o9E1JlaMMqohIFTWwXz+6d+3K8y+/zGvTppV3cwrtzv79ubN///JuRpnbs2cPH374IV9++eVZ+T5r7TpgXY7iT40xLYEHcAJLcILRVKCftfY0gDFmC/AL8AQw2lsWCYwD3rLWjvGeu84YEw5MNsa8bK3dUXZ3JBWZJkmJiFRRxhje+sc/aNK4MR6Pp7ybIzkcOHCA1157jauvvrq8m3ICpxsfY0wY0A9Y5AanANba/cBawHc8xM042dXZOa43GzBA5f9XhhSbMqgiIlVYx3btCr1MlJxdvXr1olevXmf9e40xITgJrHrAYOAm4E/ew62AmsDWAKduBfoYY2pYa1OAjt7ybb6VrLVHjTEnfI6L5KIAVUREpHJqFWAHrOPW2pgCznsD+IP35zTgUWvtm97P7tZjgfZ+jcPJjNYDjnrrplprE/OoGxmgXARQgCoiIlJZBZrl+QwwsYDzpgBvA42A24DXjDG1rbV/96mT3wxrm8fP+dUT8aMAVUREpHK6HdiTo+x4oIq+rLUHgAPej8u9WdjnjTFzgVhveaDsZ32coDPe+zkWqGGMqWWtTQpQd0uBdyBVliZJiYiIVE57rLXbc7wK6t4P5HuchNZFOAFvMs5aqTl1AnZ7x59C9thTv7rGmMZAAyCqGG2RKkIBqoiIiOSnF+AB9lprM4BlwEBjTB23gjGmubfeYp/zVgApwPAc1xuOk2ldWnZNlopOXfwiIiKCMWYmcBonY3oMJ8s5GBgCvOCzAP8EYBPOGqm+C/WfAF50r2etjTPGTAaeNcbEkb1Q/0Tgba2BKvlRgCoVRkl22Tpru1CJiFRc64ERwL1AXSAB+C/wW9+tTq21u7y7Tk0DFuK/1anfGFdr7XPGmDM4W50+AUTj7Cr1XJnfjVRoClBFREQEa+1sci+qn1fdLUDvQtZ9BXilBE2TKkhjUEVEREQkqChAFREREZGgogBVRERERIKKAlQRERERCSoKUEVEREQkqChAFREREZGgogBVRERERIKK1kGVKqEoi/y/tf8klwKbve8iIiJydimDKiIiIiJBRQGqiIiIiAQVBagiIiIiElQUoIqIiIhIUFGAKiIiIiJBRQGqiIiIiAQVLTMlko+iLE/l68fxN5ZyS0RERKoOBagiZUCBrYiISPGpi19EREREgooCVBEREalyjDHDjTHWGJNijLkwwPF1xpio8mibKEAVERGRqq06MLm8GyH+FKCKiIhIVbYCGGaM+b/ybohkU4AqIiIiVdl0IBaYVt4NkWwKUEVERKQqO4PTxX+TMeb68m6MOLTMVBlp8dRnnJOSQN2k05ypUbu8myMiIiJ5+xfwGDDNGNPDWmvLu0FVnQJUkSCi9VNFpLx4s4f3AFcCFwDxwGZgkrV2S4663XC6xi8HMoAvgSestXsDXPcR4GGgJXAEmANMsdaml9nNFJG1Ns0YMw6YD9wJfFjOTary1MUvIiIiAA8CLYAZwC04GcVGwAbfrm9jTFtgHVANJ5i7D2gDfG2Maeh7QWPMWO/1FgM3AW8AY4DXy/ZWiuUD4AfgOWNMeHk3pqpTBlVEREQAHrbWxvgWGGNWALtxgsovvcWTgFSgn7X2tLfeFuAX4AlgtLcsEhgHvGWtHeM9d503+JtsjHnZWrujjO+p0Ky11hgzGlgNPFDe7anqlEEVERERcgan3rIEYAdOlz/GmDCgH7DIDU699fYDa4EBPqffDNQAZue47GzAAP1Ls/2lwVr7BU6AOh6IKOfmVGkKUEVERCQgY8y5QDdgu7eoFVAT2Bqg+lagtTGmhvdzR+/7Nt9K1tqjwAmf48FmNNAQuKS8G1KVqYtfRESkcmpljMlZdjxQpjQfrwO1gee8nyO973EB6sbhZEbrAUe9dVOttYl51I0MUF7urLU/GmMWAMPKuy1VmTKoIiIildPHQFSO10OFPdkY8yxwN/DnnLP4gfyWYbJ5/JxfvbPOWjvHWmustZsDHLvbeyxYs7yVnjKoIiIildPtwJ4cZccLc6IxZgLOBKex1trXfA7Fet8DZT/r4wSd8T51axhjallrkwLUzRn0imRRgCoiIlI57bHWbi+4mj9vcDoRmGitnZLzmkAy0CnAqZ2A3dbaFO/nbT7lG32u3xhogJPRFQlIXfwiIiICgDHmbzjB6WRr7TM5j1trM4BlwEBjTB2f85oDvXDWO3WtAFKA4TkuMxwn07q0FJsulYwyqCIiIoIx5q84a5yuAD4zxlzue9xau8H74wRgE/CpMWYqzlJSk3Bm5r/oUz/OGDMZeNYYEwesArrjBMBvB9MaqBJ8FKCKiIgIwG3e95u9r5wMgLV2lzGmJzANWIj/Vqd+Y1yttc8ZY87gbHX6BBANTCV7VQCRgBSgioiICNbankWouwXoXci6rwCvFLNZUkUpQBWpBLpOWlXsc38cf+NZ/c7ifp+IiFQdmiQlIiIiIkFFAaqIiIiIBBUFqCIiIiISVBSgioiIiEhQUYAqIiIiIkFFAaqIiIiIBBUtMyVSxZVkiSoREZGyoAyqiIiIiAQVBagiIiIiElQUoIqIiIhIUNEYVBGpELS1qohI1aEMqoiIiIgEFQWoIiIiIhJUFKCKiIiISFBRgCoiIiIiQUUBqoiIiIgEFc3iF5GzSjtXiYhIQZRBFREREZGgogBVRERERIKKAlQRERERCSoKUEVEREQkqGiSlIhUaiWZlKVtUkVEyocyqCIiIoIxpo4xZroxZpUx5rgxxhpjJuZRt5sx5gtjTIIxJt4Ys9gYc1EedR8xxuwyxqQaY341xkwwxoSX6c1IhacAVURERAAigQeA6sDSvCoZY9oC64BqwJ3AfUAb4GtjTMMcdccCM4DFwE3AG8AY4PXSb75UJuriL0Cff3xFtYb7yrsZIlIOzvaarRpSIOVsP1DPWmuNMQ2A3+dRbxKQCvSz1p4GMMZsAX4BngBGe8sigXHAW9baMd5z13mzp5ONMS9ba3eU3e1IRaYMqoiIiGC98qtjjAkD+gGL3ODUe+5+YC0wwKf6zUANYHaOy8wGDNC/NNotlZMCVBERESmsVkBNYGuAY1uB1saYGt7PHb3v23wrWWuPAid8jovkoi5+ERGRyqmVMSZn2XFrbUwJrhnpfY8LcCwOJzNaDzjqrZtqrU3Mo25kgHIRQAGqiIhIZfVxgLJngImlcO38hgLYPH4uyjWkilOAKiIiUjndDuzJUXa8hNeM9b4Hyn7Wxwk6433q1jDG1LLWJgWou6WEbZFKTAGqiIhI5bTHWru9tK8JJAOdAhzrBOy21qZ4P2/zKd/oVjLGNAYaAFGl3DapRDRJSkRERArFWpsBLAMGGmPquOXGmOZAL5z1Tl0rgBRgeI7LDMfJtOa51qqIMqgiIiICgDGmL1AbcIPP9saYQd6fl3u76icAm4BPjTFTcZaSmoQzM/9F91rW2jhjzGTgWWNMHLAK6I4zBvZtrYEq+VGAKiIiIq5/Ahf6fB7sfQG0BPZZa3cZY3oC04CFQAbwJfCEtdZvjKu19jljzBngYZxF/KOBqcBzZXkTUvEpQBUREREArLUtCllvC9C7kHVfAV4pQbOkClKAKiISJIq7tWpxt0gtyVau2pZVRMqSJkmJiIiISFBRgCoiIiIVjjGmpzHG5vG6PEfd3saY9caYJGPMCWPMHGNMowDXDDfGTDDG7DPGpBpjdhljHjl7d1U8xpg6xpjpxphVxpjj3mcwMY+63YwxXxhjEowx8caYxcaYi/Ko+4j3GaQaY371PpvwAPUaeZ/pCe8zXm+MuaEk96QAVURERCqyMcAVOV5Za6waY64DPgeO4Wxe8BjO+Nk1xpjqOa71BvA08DpwE7AEmGGMGVPG91BSkcADQHXyWb7LGNMWWAdUA+4E7gPaAF8bYxrmqDsWmIGzdNhNOM9mDM6z8a1XHVgD3IDzbG/HedYrvM++WDQGVUSkgivJWNKz7WyPs5Uq4Rdr7YZ8jr8A/A8Y5F3HFWPMr8C3OAHaP71lHYCRwFhr7Qvec9cZYyKBccaYf1lr48rqJkpoP1DPWmuNMQ2A3+dRbxKQCvSz1p4GMMZsAX7BWWVhtLcsEhgHvGWtdYPzdd7s6WRjzMs+y4SNBDoCV1pr13vPXwv8F5gOXFacG1KAKiIiQU+BrRSHMaYpztqrT7vBKYC19jtjzP+AAXgDVKA/YIDZOS4zG7gfuBmYX+aNLgZrrS2ojjEmDOgHvOsGp95z93sDygF4A1Sce61B4GfxHM6zcgPUAcDPbnDqvWaGMeY9YIoxpqm19nBR70kBqoiIFFlFytpKpfe6MeYDIAlYDzxrrf3Ge6yj931rgPO2Alf5fO4IHLfWRgeo53utiqoVUJO8n0UfY0wN71a17r1u861krT1qjDmB/7PoCHydxzUBOgBFDlA1BlVEREQqolM4YyT/gLPN6mPABThd0Td560R63wN1zcf5HHfr5qpnrU0E0nLUrYgKehYGqOdTN9V774HqFvjcfMqK9dyUQRUREZEKx1r7I/CjT9HXxpglOFm/6cBK3+p5XaaAz4U9VpEU9h6L8ixK/bkpgyoiIiKVgrU2HvgU6GyMqQnEeg8FyuLVxz/zFxuonjGmNs6s92CdIFVYBT0LC8T71K1hjKmVR90Cn5u3HhTzuSlAFRERkcrEeN8t2ctNdQpQr5PPcXAyrw2NMY0D1CNH3YpoD5BM3s9it3f8KWSPPfWr6302Dcj93PK6JhTzuamLX0REJIdAk8DqpCQSX+scTteIKJPv3Df11jK5blVijKmHM1P9J2+wddgY8z1wjzHm79baTG+9y4GLgZd9Tv8YmAwjCE47AAAgAElEQVTcC0zzKR+OE9itKPs7KDvemfXLgIHGmFHW2jMAxpjmOGN4X/KpvgJIwbn3jT7lw3ECf9+1VpcAbxhjLrPWbvReMwy4B9horT1SnPYqQBURkUqrIq020OKpz4p1XlUNbI0x84EDwGbgBPAb4K/AeTiBlGs0sBr4tzHmDaARMBUns5e1jJK1drsxZhbwjDEmE9gE3IizAP64IF4DFQBjTF+gNlDHW9TeGDPI+/Nya20SMAHnvj41xkzFWUpqEs7ze9G9lrU2zhgzGXjWGBMHrMJZrmsi8LbPGqgA7wAP4zzfp4AY4CGcfwD0Lu79KEAVERGRimgrMAT4IxCBM9bxG+C31tpNbiVr7TpjzC04gdgynOWoPgWetNam5rjmQzhLIj0CNAb2AY9Za18t21spFf8ELvT5PNj7AmgJ7LPW7jLG9MTJEC8EMoAvgSestcd9L2atfc4YcwYn+HwCiMYJ7J/LUS/Vu63pdOBVoBbwE9DXWvtVcW9GAaqIiIhUONbaqTgBU2HqrsbJohZULx0nSzixJG0rD9baFoWst4VCZjatta8ArxSi3jGcoRGlRpOkRERERCSoKEAVERERkaCiAFVEREREgooCVBEREREJKgpQRURERCSoKEAVERERkaCiAFVEREREgooCVBEREREJKkEVoBpj6hhjphtjVhljjhtjrDFmYhHOb2SMmWOMOWGMSTLGrPfubiAiIiLixgoTjTGNyrstwShYnk9QBahAJM6et9WBpUU50RhTHVgD3AA8BtwOHANWGGOuK+V2ioiISMXUEGdP+obl3ZAgFRTPJ9i2Ot0P1LPWWmNMA+D3RTh3JNARuNJaux7AGLMW+C/O/rCXlXZjRURERKT0BVUG1XoV8/QBwM9ucOq9XgbwHtDDGNO0NNooIiIiImUrqALUEuoIbA1Q7pZ1OIttEREREZFiCrYu/pKIBOIClMf5HA/IOxA451iLbgDpJ48Uu0EpaUmkJJ8hpFL9O6Dy25eaRE3ve8iRX8q7OSISJFLwkJJch7Rqtcq7KX62b9/u93n37t3uj5cZY856eyqAVu67nk9Abb3vEeXZiMoUoALkNzwgv2MP4QwIzuXEkudK1CCpeAa7P5zYD4smlmNLREQK1vGdPA/NOovNqIg+Lu8GBLk2wMby+vLKFKDGEjhLWt/7Hii76noD+HeOstuA55988kmuuuqqUmieABw4cIBHH32UV155hebNm5d3cyoVPduyoedaNvRcS0d8fDynT5/2K1u9ejXLli1j6tSp9OvXr5xaJhXV7t276d+/P0BUebajMgWo24BOAcrdsjwftLU2BojxLTPGtAK46qqruP3220urjVWe2xV1/fXX06GDhgWXJj3bsqHnWjb0XEvGWkhPhyNHoGVLt3Q5cGtWnbZt2+rZSkmkleeXV6bBkUuAtsaYrOWkjDFhwD3ARmtt8QeTioiIBAFrnVdqKhw6BFdf7R7JxDc4Fanogi5ANcb0NcYMwuliB2hvjBnkfdXy1plljMkwxlzoc+o7wHbg38aYYcaY3sBHwMXA6LN5DyIiIqXJDUythaQk2L8fnn0WDh92a5RrskuKKSEhgccff5wmTZpQo0YNunTpwgcffFDgeYcOHeLxxx/nuuuuo27duhhjmDNnTq56p0+f5rnnnqNnz540btyYiIgIOnXqxLRp00hJSSmDOyo9QRegAv/EGQ/qDvse7P38b8DddivU+8qafmetTcXZRWot8CqwDDgf6Gut/eqstFxERKQUuUEpQGYmJCfDwYPw/vuQHY9kAmfKp4FSIgMHDmTu3LlMmDCBzz//nO7du3PXXXcxf/78fM/bvXs377//PtWqVeOWW27Js96BAwd4+eWX6datGzNnzuSTTz5h0KBBTJw4kX79+lH8pefLXtCNQbXWtihEneHA8ADlx4B7S6kpJwHq1atXSpcTgIYNGzJhwgQaNtQOc6VNz7Zs6LmWDT3XgvnGDmlpzpjTAwdg9Wp49tkMnKxpBs4iNTtzna+/X8Ft+fLlrF69mvnz53PXXXcB0KtXL/bv38+TTz7JkCFDCA0NDXjutddey/HjxwHYvHkzCxYsCFivZcuW7Nu3j9q1a2eVXX/99dSuXZsnn3ySb7/9lquzx4kElaALUINIHEBkZJ7Lp+LxeDh27Bipqal4PJ6z1rCK7ne/+x0JCQkkJSVRvXp1zjvvPEJCgjGZX7E0atSIiRMnlnczKh0917Kh55o338DU2uzg9OBBWL8eHn88A0jwvlKBRJxpGP7y+/sl5W/JkiVEREQwePBgv/IRI0YwbNgwNm7cyJVXXhnw3ML+zfQNTH316NEDgIMHDxahxWeXooJi8ng8HDhwgPj4eNLS0oI6TR6MrLWkpaURHx/PgQMHFOCLSJXn250P4PE4k6HcCVHffw+//z04mdMEwIOTQc0E3s06r/vZbLQUW1RUFO3atSMszD9X2Llz56zjZeXLL78ECOpVHpRBLaZjx46RnJxM/fr1adSoEdqNouistcTExBAXF8exY8c4//zzy7tJIiJnXaD8RloaZGQ4r8OH4aefYPx492gGkO59VQdO4x2VBjj7em8q4zZLycXGxnLRRRflKq9fv37W8bKwdetWpk+fzoABA7KC4WCkDGoxpaamEhoaquC0BIwxNGrUiNDQUFJTU8u7OSIiZ13O4NTt0s/MdN4PH4Zt22DmTKeL3xFG9tjTTOCY3zUal3mrpbTkFz+URWyxb98++vXrxwUXXMDbb79d6tcvTcqgFpPH4yE0NFTBaQkZYwgNDVUXv4hUKYGyph6PM9bU43Fm6x87Bjt3wrJl8JXfWjTVgJo4+8uEALv9rlMfqQgiIyMDZknj4pyNL91MamnZv38/vXr1IiwsjDVr1pT69UubMqgloOC0dOg5ikhVkXOcqcvtzvd4nHVOjx6F3bvhP/9xlpTyFwbUw9ndOxXYnHXkBiDwtBgJNp06dWLnzp1kZGT4lW/btg2Ajh07ltp37d+/n549e2KtZe3atTRr1qzUrl1WFKCKiIicBYECU3fLUjdAdYPTfftgyxZ45ZVAV/IANYC6QB1gY9aR9t4jEvwGDBhAQkICixYt8iufO3cuTZo04bLLLsvjzKI5cOAAPXv2JDMzky+//JILL7yw4JOCgLr4RUREylBei7xYmx2YujtERUfDkSOwfTtMm5bnFXGC1FAgCd8u/t/gDACQ4Ne3b1/69OnDgw8+yOnTp2ndujULFixgxYoVvPfee1lroI4cOZK5c+eyZ88ev+By4cKFAOzduxdw1kONiIgAYNCgQQDExMTQq1cvjh49yqxZs4iJiSEmJibrGs2aNQvabKoCVAlozpw5jBgxgurVq/Pzzz/n+hdXz549OXHiRIHLYBhjmDBhgtY7FJEqJ7/VBz0eZyJURobznpQEJ044Aeru3fDOO87yUgHOdK+OM4s/O9gIBc7DmTYlFcPixYsZO3Ys48ePJy4ujrZt27JgwQKGDh2aVSczM5PMzMxcy1nmXD/19ddf5/XXXwfIqrtjx46sAPaee+7J9f3B/PdZAarkKzU1lXHjxjFv3rzyboqISIVQ0LLY6elOHTdATUyEuDina3/vXnjvPfjf/wJe2eeVDiQDP2cdvQZoiG/IKsEuIiKCGTNmMGPGjDzrzJkzhznZ+9pmKcz66+6404pIY1AlXzfffDPz58/nv//9b3k3RUQk6OUVCxiTPd40Z3B68qSTOT18GD75BDZsyPPqPu8WZ4JU9oqnF+FMnQq8OaZIxaIAVfI1atQoIiMjGT16dL71Tp8+zf33309kZCQRERHcfPPN/C9wCkBEpNLJa3Y+OMGpx5PdnZ+Z6QSqCQkQH5897nTVKli+PM9vIDtA9eDsJnUE+CGrRnOcxae0LopUBgpQJV916tRh3LhxrFy5MmtrtJystfTv35958+bx17/+lSVLlnD55ZfTt2/fs9xaEZGzq6DANOcsfXch/oQEOHUKYmKc9U43bYKlS/P9Ju+7B6dr/yRwALeLvy5O976WmJLKQmNQy8Ljjzv70gWDLl3g5ZdLdIk//vGPzJgxg9GjR/P999/nWrd05cqVrF27lhkzZvDoo48C0KdPH6pVq8bYsWNL9N0iIsEqv8AUsrOmbpe+G5ympMDp03D8uJM93boVlixxJkrl8U1kB6jgjD/Nvb1pHSAcZVClclCAWhZ++innth8VWrVq1Zg8eTLDhg3jo48+YsiQIX7H165dC8Ddd9/tVz5s2DAFqCJS6RQUmELewWlqqpM5dYPTn3+G1avh0KF8v9HnPRMnQE0Bfsmq0Qwne6oAVSoLBahloUuX8m5BtlJqy9ChQ/n73//O2LFjGThwoN+x2NhYwsLCiIyM9Ctv3Fg7QotI5ZHfZGjfrGnOlzvmNDXVGXN64oQToO7b54w73bIl328ld4BqgXgge5x/A5wtToNlgtSkSZP44IMPiIqKIiQk/9GEX3zxBX/729/473//S61atejXrx/Tp0+nUaNGBX7Pu+++y/Lly/nxxx/55ZdfaN68Ofv27QtYNyEhgXHjxvHRRx9lLen01FNP+S3p5OuTTz5h4MCBHD16lIYNGxbYlrykp6czZcoUZs+ezdGjR2nZsiUPP/wwjzzySIHnrlu3jl69egU8tn79ei6//PKsz2PHjmX58uXs37+fpKQkmjRpQu/evRk7dqzfUpFr1qzh9ttv5+eff6Zp06bFvq+ypgC1LJSwSz0YGWOYNm0affr0YebMmX7HIiMjycjIIDY21i9IjY6OPtvNFBEpdYUJTCE7awrZWVM3OHW79U+ccF6HDjkdbd9+W9C3p+PM1k/HmTYSQvY4VGd9y4uA83HGoQbDxJIjR44wffp05syZU2Bw+tVXX9G3b19uvfVWPv74Y2JiYhg9ejQ33HADmzdvpnr16vmeP2/ePKKjo+nRowcej4f09PQ86w4cOJBNmzYxdepU2rRpw/z587nrrrvweDwMGzYsV/1FixZx7bXXlig4BXjooYeYN28ezz77LN27d2flypU89thjnDlzhjFjxhTqGlOmTMkVqObcCjU+Pp677rqLdu3aUadOHXbs2MHkyZP55JNP2L59e9bf5xtuuIEePXowZswY5s6dW6J7K1PWWr0CvHCG9NioqCgbyJ49e+yePXsCHqsMZs+ebQG7adMmv/I+ffrYRo0a2UsuucR26NDBWmvt559/bgE7Y8YMv7rPPfecBeyECRPy/a7K/ixFpOLyeAK/csrMtDY11dqUFGsTE53XmTPWxsdbe/iwtbt2Wfuf/1i7dKm1r71m7dCh1oaHu1Os8nqlWThh4ZCFgxZ+9f68y8JbFkItYG8AOxvsLrCJYBd70655/f0qa6NGjbJNmza1mZmZBdbt3r27bd++vU1PT88q+/bbby1g33jjjQLP9/2OW2+91V544YUB63322WcWsPPnz/cr79Onj23SpInNyMjwK09LS7N169a1r732Wp7fPWHChDy/zxUVFWWNMXbKlCl+5ffff7+tWbOmjY2Nzff8tWvXWsD++9//zrdeXpYvX24BO2vWLL/yhQsX2tDQUHvgwIGAbcb5HepgyzEOC4Z/bEkFMm3aNI4fP84Wnz6pG2+8kWuvvZZRo0bx/PPPs3r1aiZOnMisWbPKsaUiIsVX0Ox8l++OUG7G1Lc8KcmZsR8Tkz329IcfYP16J7Oav1Scsaa1cEaY1gBOAUeB/bh7Rp3nU6O8u/jT0tKYNWsWw4YNKzB7evjwYTZt2sRvf/tbwsKyO3SvvPJK2rRpw5IlSwr8voK+w7VkyRIiIiJy7b40YsQIjhw5wsaNG/3K16xZw6lTpxgwYEChrp+XpUuXYq1lxIgRub43OTmZFStWlOj6BXGzv77PF+C2224jIiKCt956q0y/vyQUoEqRdO3albvuusuvLCQkhE8++YS7776b6dOn079/f7777juW572gn4hIUCooMA0UnGZmZv8M2QFrUhKcOeMsI3XmjLNbVFSUE5zu319gS3C69Y33Zw/On+wk4BhwEHAC0+reWiGU/wSpjRs3Ehsbm+e4SV/uVtmdO3fOdaxz584FbqVdFFFRUbRr1y5XoOZ+d87vWrRoEVdccQVNmjQp8fc2bNgw15yMvL43Lw8//DBhYWGcc8453HTTTXzzzTd51s3IyCA5OZkff/yRxx9/nDZt2uSaO1KtWjWuvPJKPvvssyLe0dmjAFUCGj58ONZaLr300lzH3n//fay1fv9hnXvuucyaNYuTJ0+SmJjIqlWruPjii7HWBu0+vyIivgobmFqbe5a+x5O9IH9mJiQnO0FpTEz2Vqa7d8P338POnYVqDc40Ed/1TzNwxp4m46yBCq1xlpdy/5gbyjdIXb9+PQDdunUrsG5sbCwA9evXz3Wsfv36WcdLQ2xsbJ7f49sWgMzMTJYuXcodd9zhVzcjI8Pv5fF4ApZbn1+kvL63du3aVKtWrcB7PPfcc3nsscd48803s5ZzPHjwID179mTlypW56kdHRxMeHk6tWrXo1q0bGRkZrF27loiIiFx1u3Xrxk8//URiYmK+bSgvmiQlIiJVWmG68l3emCQrOPV4nHc3OHUnRPkGp6dOOZOitmxxsqeFaJH3VQ0nP5pEdnDqAaJxJ0g1wZkcVd17pLwzqEeOHMEYQ4MGDbLKMjMz/YK2kJAQv675nGtrF1ReXPldz/fYV199xYkTJ3JlHcPDwwOem7N89uzZDB8+vMjfG0jXrl3p2rVr1udrrrmGAQMG0KlTJ0aNGsVNN93kV79BgwZs2rSJ1NRUdu7cyfTp0+nVqxfr1q3j/PPP96vbqFEjPB4P0dHRtGrVKt92lAcFqCIiUiXlFZhC3sGp+3Izp+5uUda7zmlysjPm9MQJJ1BNTna2Md24Ef7zn0K1iuysaRgQ4X1PBBJwgtRTuF38EUAjnC1OgyFATU5OJjw8nNDQ7NGwN9xwA1/5rA1+7733MmfOnKxZ5YGyiHFxcQEzj8UVGRmZ5/eAfxZ34cKFXHLJJbRo0cKv7qZNm/w+z5w5k08//ZRPPvnEr7xly5Z+3/tTgI17EhMTSUtLK9Y91q1bl379+vGvf/2L5ORkatasmXUsLCwsq+fzqquu4uabb6Zly5ZMnTqVGTNm+F2nRo0agPO/WTBSgCoiIlVOUbKmbgDqLiHlBqchIdkBa3q6E4wmJkJsrBOsJiXBwYPOpKhNm5zAtZCt83kPw5kclYwToKYAJwAP5wPn4HTx18DJopa3Bg0akJaWRmJiIrVrOxuvvvnmm5w5c8avDmQvk7Rt2zZuueUWv+ts27Yt1zJKJdGpUycWLFhARkaG3zjUbdu2+bXF4/GwZMmSrF0RfeUc8vbpp59SrVq1gEPhfL/3gw8+IDo62m8cas7vLSo3I11QBrZZs2Y0adKE//3vf7mOucG5b7Y7mGgMqoiIVBl5TYLKOc7U5WZL3eDUHWMaEpJdnp7uBKPuWNO0NOfnY8ecSVHbt8Phw4VpXTpOpvQ02d36bnkcTub0DM4sfrgAJ0ANA87FCVLLewxq27ZtAdizZ09W2cUXX8yll16a9XIzk02bNqVHjx689957ZLozzIANGzbw888/5+piL4kBAwaQkJDAokWL/Mrnzp1LkyZNuOyyywD47rvviI6OzjX+tLhuv/12jDG51hudM2cONWvW5Oabby7yNU+ePMmnn35Kly5dsrKgedm9ezeHDh2idevWuY7t3buXyMhIzjvvvCK34WxQBlVERCq9onbnQ+4ufXf8qVs/Pd0JRlNSnID05Elnt6ikpOzgdNs2+PHHwrQwAydDmkT2zP0aOJ33aThLToV6fz4BQCTODlLn4WRRgyGD2rNnT8AJMgPNzs/J3QBm8ODBPPTQQ8TExPDUU0/RsWNHv6WZ9u/fT6tWrbj33nv9ljDcsWMHO3bsAJwJQklJSSxcuBCA9u3b0759ewD69u1Lnz59ePDBBzl9+jStW7dmwYIFrFixgvfeey9rSMLChQvp2LEjbdq0KZXn0aFDB0aOHMmECRMIDQ2le/furFq1ipkzZzJ58mS/Lv5JkyYxadIk1qxZw3XXXQc4W4Y3b96cSy+9lAYNGvDLL7/w4osvcuzYMebMmZN17tatW/nzn//MoEGDuOiiiwgJCWHbtm289NJLREZG8sQTT+Rq24YNG7juuutKfaxvaVGAKiIilVZxAtNAXfruLH13QpRvcJqU5ASn7gSpmBhnpv727c7Y08JJxenGr0V2gJrkPZZG9g5S0UAMDYCGOMFpXbKzp+Xtggsu4JprruHjjz/mgQceKLB+z549Wb58OePHj+e2227L2ur0hRde8NtFylpLZmamX6YV4KOPPuKZZ57xK3PXOp0wYYLfKjKLFy9m7NixjB8/Pmur0wULFvhtdbp48WLuu+++4tx6nt544w2aNm3Kq6++SnR0NC1atGDGjBm5tjr1eDy5JpR17tyZDz/8kH/9618kJCRQv359rr76aubNm0f37t2z6p133nk0adKEF198kaNHj5KRkUGzZs3o168fY8aM4YILLvD7rj179rBt27agXmXH2Pz+663CjDEdgKioqCg6dOiQ6/jevd4t5i666Cy3rPLRsxSRslCUcaYu31n67jXcLn13pn5GRnamNCUlOzhNTnYW4t+2DXbscLYyPXWqsK095X2F4SzAH4rTte924e4HDgMrgblcQgrXAFfibHvYEKe7PxxYBvTHWWMz0N+vsrZo0SKGDBnC/v37g3qv95y+//57LrvsMrZu3UqnTp3Kuzll6m9/+xvvvvsue/bsybU27Pbt292xsR2ttdvLpYFoDKqIiFQyhd0FKie3O993vKnH4wSnoaHZk6HcMaYpKRAf79RPTnZm7v/6q7Ok1KZNRQlO3Zn7CTjjT92Z+qfJXqQ/EWfm/gEghdo4wajb+W8Jnj/oAwcOpHv37jz//PPl3ZQi6dGjB9baSh+cxsfH8/rrrzNlypRcwWkwCZbfZxERkRIpyi5QOc9zJz8FGm/qdulnZDjBaUKC837qVHZwmpDgLCflLsZ/9GihW53j3fi8JwOxwD6ccaeJQDrn4WRL3aX7U7w1/Tu/y48xhrfeeosmTZpkLWYvwePXX3/l6aefZtiwYeXdlHwFb+gsIiJSSMXJmELgLn13vKm7jJS7dambOU1NhdOnnfLUVKfsyBHYtcsZexpgRZ+CWu99d9c8zcDJjSbjZFFTgCM4M/njaIgzKaqW970ezmCANJyl/YNBx44dS3WZKCk9ORf/D1bKoEqeNm7cyIABA2jevDnVq1fnvPPO44orruCvf/1reTdNRAQofnc+BA5O3UlQbpd+ZqZ/IOobnCYnO+NQjx93gtI9e4oyKQqyu/bd9U7DcGbtn4PTcZ+EMwWqnrf8KHCcht5P5+KEtCHeV7BkUEVKgwJUCeizzz7jyiuv5PTp00yfPp1Vq1YxY8YMrrrqKj788MPybp6IVHHF7c53zw003tS9XmhodtbUDUSTk53gNCEhuyw11Zmx72ZOt2wpyR35bmvqroUajjNZynjfTxFJLBHeI7Vxsqgh3hrqEpXKRL/PEtD06dNp2bIlK1eu9BtEPXToUKZPn57vuTm3XhMRKU3FzZhC3llTyJ6p7wan1mZvV+pmUN3Z+qmpzlqne/Y4AWpUlJNZLcJd+LzACTkjcILUFJxVTjO9x9O9ZemcRxL1gWY4Aar1HmmIE+IGw1JTIqVBGVQJKDY2lgYNGgSc4RcSkv1r06JFC/r168fixYvp2rUrNWrUyLUmnYhIaShJdz7kH5yGhvovI+Xx+GdOExOzJ0SlpTkz9g8ccILTbduKMikKsoPSrNZ7y8JxOu9rQ9ZI05M4a58eA1I4H2iEs/5ppLdmXcjKqopUFsqgSkBXXHEFb7/9No8++ih333033bp1Izw88P/9/fDDD+zcuZNx48bRsmXLrP2XRURKQ3EW2895vm+3fs5rhoVlH/Mdc5qUlP2ekeG8Z2Y6654eOAD79jnrnR44UKy7InegCtkjSWvg7BNlcCZHJRFJLHXJXiW1jreGO7VKpDLR73QZePxx+Omn8m6Fo0sXePnlop83depUdu3axauvvsqrr75KeHg43bt357bbbuNPf/oTERERWXVjYmLYsWNHqW0NJyLiKknGFLID0szM7Gv5Zk7DwrKPuV37OYNTjyf7PS7OCUgPHHAyp7t2FfmOct4J2R3z7pqnBmcmvztpKgQ4TTPiqYPTlZ/srRlG9hhUkcpEAWoZ+OknZweRiiwyMpKvv/6azZs3s2bNGjZv3sy6det4+umnefPNN9m0aRMNGjQAnK3YFJyKSGkqaWAKgbv03Xd3vKk71tTjcQJSN1OaluZ057vjUENDndn6Bw86mdOff3Zm7hdvM8ac2VObo9wNUC3OhKkzVOMUDYijNs6cfnAyqQb/EFekslCAWga6dCnvFmQraVsuvfRSLr30UgDS09MZPXo0L730EtOnT8+aLHX++eeXtJkiIkDJu/PdawTq0nfHmIaFZR9331NSssedpqc7QaobnIITnB4/7uwU5Y49LfxOUVktwz8wdUNLt8zNnnpwVjVNxBmDGkMdTlCfpKwMajWcMac5M6gKVKWyUIBaBorTpV4RhIeHM2HCBF566SWioqKyyk1RUhoiInkozaypb3Dqe8w3OHV3jkpNdYJS990NTtPSnO+Oi4PYWNi718mg7txZ1ElRkDtjanKUe3ByoiE4a6CextlF6hQQS3POEI6TV/XgzPWvhTKoUnlpFr8EdDSP//fduXMnAE2aNDmbzRGRSqyks/Ndvl36vsGpmz3NKzhNS8vu3k9MzA5OPR5nQlRcnLOc1K+/Zr8X807JnUHNaj3Z2dRknMWjQgBLbSzncoaaOIHpOUBjshfpDy1uc0SCmDKoEtBNN91Es2bNuO2222jbti0ej4effvqJF198kYiICB577E2caL8AACAASURBVLHybqKIVHCl0Z3vXse9lu94U7dL33cJKcgOTlNSsrOm7thTNzi11unCj411xpoeOOBkUPfty52ZLUQLc95djnLfyVGZOOueghOkJnMepzmfNBrgLC/VAKiPE6AqcyqVlQJUCWjcuHF8/PHHvPTSSxw9epTU1FTOP/98evfuzdNPP027du3Ku4kiUoGVRsYU8u7S9x1v6h53Z+q7y0ilpfkHpx6Pf3B65owTkB45Ar/8AocOOfWKJ1D21Ld7363jBqpOcBpCDOdygupEZ62S6o4/NagbVCovBagS0J133smdd95ZYL19+/aVfWNEpNIoi6yp7xJSbmDq26XvvnyD0/R0Jxj17dZ3g9ikJGdL019+cbYy3bPHeY+LK63sqW9w6jtz3x2HGo6TRT3GuRylFtGkk0QiTtiaiDNK1UP2BCllUqWy0T++RESkzBU0zrQkXfq+1/V4nCWkQkL8g043OHWDUt8xp747SKWkOONO9+xxAtKdOyE62pkUlZkZuD35tNTn3XdiVM46btTr8X4OwQlQ0zmXNOqTlLWNqcHJLKXgv8wUAa7e5x8VfL1DqdKUQRURkTJVWt35kP8sfWud8abuz77LTblBqZtBdbv1jckOXt3gdO9eZ+zpnj3OlqbHjzuBbfHkNf4064586rnBajrgIQIPTUmkDgmci7NzlAWScLr601GWSSov/W6LiEiZKK3Z+e61ck5y8r2Ob3DqfnYDT98lpHyDU/dabvAaH+8Ep8ePO8HpgQNw+LDT3V90eS0r5XvM43PMDU4zcfOjDUikDmeoQ3JWDYOzQmo8zgqpp8neHFWkMlEGVURESlVpjTP1vV7OWfrutdxy3+DUza56PE5Q6o43dYPR5GSnnhvopqU5k6J+/dXJmO7b53Trx8Q4WdX0dIoor679QNlTi7O6abL3lQmcIRxLLRKpyWnC+P/svUmoJWu75/V7o4/V7CZzZ57u9p8ggoKgII7E0gIVB5aCWIVSNRGhhBJ1oiP7iWKVllgqKI7kKkIVIuLgXiwdFjXRUtBBce/97vedkyd37ma10Ue8Dp71ZMSOXGs3ebLZub/3B4tYK1Z0K/bKs/7n/3QXb7fWGVPJbusF8kN+hGSuOhxPBSdQfwL2/WbcOUZYa12zf4fjifAhw/mwP6SvwlTzTYdCdZxvqgJUxapOjNLc1Lruq/UvL3tx+stfSn7q+7mn+9jXWgpEkG52jwYJ4K84peSMgt+iJqYgAo6RsGeCCFJvt8d2t84JVMdTwgnU98QYQ/vwjHnHHrquIwjcV9Hh+JL5mK7pPnE6zjfVpTbp13ZRZdm/1hxUPV7TiHP6859L7ukvfiGu6Y8/yrbr9cOv+36FUSCB+hxYIxJzirTcl/ZSL1nwDRtmlEyQqVFTJA/VQ9zUcvfwd+9N3+dyHY5HilMF70kYhhRFQdM0Tlz9BJqmoWka0jT93JficDjek4/lmsL9QvrD8P9QnKpbqmF6rfhXcbpYiFN6ddX3O728hNVKHsNzPwy9IePQvq6vEcd0DZwj2aQpIjE7jmkIOSdkiWFFgPQ+TXZHKndHOUGa9Wf0pVYOx1PBFUm9J0dHRwCcn5+7UP97Yq3l/Pwc6O+nw+H4cjhUBPXQtlFD9olTPZ5Oh/K8d7dvmr5CHyTPVMXpcPTp0Dl980YcU3VOFwtxTcvyfRvyjwujDlEi5U0ZkkV6Dvwh8HPgDVMyTlgxZU3KOSkS3k/g7fMI+QFvd+u0H6rD8VRw1t97Mp/PmUwmLJdLNpsNvu+7PMoHYK2lbVvatmUymTCfzz/3JTkcjnvyocP5esx9IX3P6/NF/dHQ+X09TkFEqTqoKly7rq/oX62kGOrVK1men8u67VYE6vu1lBrnlg7dU23Cr+/XiEg93y3nwCXwhpCYU0KekXFCTszyrTD1kdzTGRLyV2cVRLw6HE8JJ1DfE2MM3333HdfX12w2G+eiPhBjDGEYcnp6yunpqRP3DscXwocO58NN1/TQVKiha6rr9aHidJhzmud9Y/2hOF2vJd/09WtxUF+9ktfX1+Katq0I1Z+G5p6OQ/v63EPyTnNEelaI1Mw5IuCIjlMqIpb4bIl3ewT0Yf4NkhCgFfwRDsfTwgnUn0AQBLx48YIXL1587ktxOByOj8rHEKZwOKSv59yXLqCCc9gmSqv0h+LUmD6837YiQK+uenH65o04qOu1VOtXleSgPpzbCqPG7qlF5GRMH+pv0Zr8hJIjWo6omdLQ7vZukNC+EtOPOk1wP+aOp4f7TjscDofjIB8jnK/HPRTS1/c879194KY4bZpemOo0qKE4VUc2z0WMXlyIQNXxpZuNhPfbVl6/xycZLQ8VRunzDvnpPUNC/K9QcZoSc4LhjAVHNMx27qm2mEp3Rz2hbytV0PdHdTieEk6gOhwOh2Mvn8I13ZdvOg7p63Zj0dk0fWhfnVPdTrfpOgnZX17K44cfRJy+eSPCdL0WgXtx8e7o1Idzl3s65Aj4BnFPpTn/MSknLEjZMGNFzIIEyTfV2+FzUwJrL1SH46nhBKrD4XA4bvCxXFO4PaSv4nJ4DhWbxtx0SjWnVF3UsrzpsKrw3W77nNNXr6Qg6upK1q1WsizL9807vaswauye6tSocrdMgVPA45gJz8g55pJjLBFLKs7xEfmaI05qQC+DdQ6V+yF3PEXc99rhcDgcb/lYrulDQ/pj0apitK77CVBDoaqO6XB+ymYjAvTHH0WgXl5KK6nlUlIBtls55sXFe32i0fLtle/ZRsmAK6RASqWnj0fFHJiT8ZKcU0oMOR0FM/pq/dXu6Nlu6SPuqiuQcjxFnEB1OBwOx0cTpnB7SH84FWpYvT/cVh1RFaca5tdlXcv2Y3F6dSWOqbqmi4UIVs079Tx576ezL7Q/dk9rpCH/BSIrm7fvneETYzjCY0bHlIyY7G3pVLvb29KXU0VIFb8rkHI8Vdz32uFwOH6F+ZjhfNjfQkrD+F0nInE4IUqvSd1QFanam3QoTLW9lKYB6DWvVuKWnp/3uaerlQjU7VZyVT1P8lFvn1jdIC2gGnofU4PssD+0z+g9fV4gzaF0cGmLCNYWD49vkikvuOSoqEjJCbjCp89gTRBh+nx3BenuKKPWsA7Hk8EJVIfD4fgV5WO6puMpU5pvqq6phu7H5x0WOe0Tp3Xdh/vLUpxXbSVljBQ9XVyIKL26ksd2K+JUW0lZK+s3m9s+QYMIyoLeEU3ou48eCu3flnsa0junDTLWNOeEGUFTcDrZ8swrCbOckJoYyT1Vf3aKJAdo51RXue94yjiB6nA4HL9ifExhCj8tpD+u1NfwvbaTUjGq4lTD/p7X55xeXUmV/nrdh/XXa8k7rSp5fndov0LE6YRedG4Rkak/nYdC++MbrKVMuq8K35wjIgJ8jpKKcHNN4OfElIS8eeuz5vSlVevdcrZb5/JPHU8V7+5NHA6Hw/EUGLuaQz6GOFUXVNtG6fND4hRuFjw1Tb9UcaqtpcKwF69B0FfrX1yION1u+7D+ei2vs0xE6v36nTbcnAalzxtuD+0P0b6n2px/NjhOzYyIGMvpPGdirkmSjLa+pmWDR45B5PEL5MdaM1en9FmtinNTHU8N56A6HA7HrwAfW5jeFtKH/fmm+8SpPh/mmaow1XVB0Oee+r4I0OWyF6hF0U+MKgp5r67l/N9/L+7r3WgYX13Sdvd8nPU5Du3vc09B3FNNDzB4WI7JSPwaYxdMk+8Jmiu8bEPJJRHd20p97XfqIROkJrujuP6njqeME6gOh8PxhPnYRVDwsJD+PnGqLqk+HwpTXWooPwh6gRkEfRj/4kLC9tutLC8uZN/FQvb3PPjFL8RFvR8RknOqO2gOasS7eab7sINHg/idFSIzDTMMR0lMGhim4RVte8XEa3cFUgUlUkJl6SdIqR+roU/3A+54yrjvt8PhcDxRPrZrCvvFqVbp35ZvOm6qr4VT2lZq2OdUi6R8/6Y41ZzT9bpfajuprhPnVF3Wn/9cQv63CfabBEhIPkLE5TCHdF+I/5B72iC5q1psVWLYcBR2mNYyn1YcmTVp22CLjJiGmmu5N4gY1bGm2t6/RNr7a/6pC+87niJOoDocDscT41MI03FIX/NGxyF9dVGH59fXQ9d0nzjVIikVvENxqjmnm03f53S5FJFaVSJS81z2//FHeV0PkzbvRYAE2VNur9p/5+7Q+51abJW+XT+nZj4tSSqP2F9ylC7wlwtSr8BS0NIy2+0R0WevTnZHPN69dj/gjqeM+347HA7HE+FThPPh9pC+rvP9m9e0r1J/3Ihfw/kqWtU5HYrTMOyd0yyTgqiLi775fteJSM0y2acs++Koh7NPlO67ybflnrb0c58qAiAmxLRbgmRD172hLVdMYijXCzKuMdQc7/bwkbzT+e7RAUeIo+qcU8dTxglUh8PheAJ8CtcU7hfSD4Kb2w17n8LNNlIaxh8KVWt7QWqMCFXPE9GrzmmWiTOqFfvLpWx3fS1iVDsAnJ/Lup/GfRrzj7fXG6ApAQ3QMKfh+NgnxWeeepzZkK+ClLMyIaIjoCFlQ0QvQgvEh62RMivXWsrxq4ATqA6Hw/EF86lc07tC+johSttJDc8/3HfokKqIHLqnxvRup+f1/U6NESF6dSXvv34tzfi1nVTb9tX8Kmhfv5b3mvcqdx+LUmUsTsfu6fC1QfzPBMlDLZlPG44jiylg4lecpRXTuiQuWqa+IW5z5oggDXd7z4ATRJxqaH/cgdXheGo4gepwOBxfKJ/DNYWHtZDS6VCaT6piVcWpClQ9Zp7L0vdFiKo41dZRKk51QlSWyXEXC1nXdZAk8Md/3If6H85PDe0Pb5gWW1nOPEMSWiZJSRh3dM2SrtlgzYa2ugYapuQ3Ml4nSM7pMSJY1VV14tTx1HEC1eFwOL4wPpUwhdtD+rpunG86bC81DOMPXVR9r6r60H5Z9oVVZSmpAiCi9PJS1qlzqs3381zE6WLRpxe8etVX8z+csRs6FKf3Ce0z2Ga4XcxsGvD8qMBUC5K04iyISNotYVfReFtMtSRE5G2BuKfr3fJ9Qvu/96/9Qw/cw+F4PDyqSVLGmJkx5j8xxvxgjCmMMf+nMeafu+e+/7Ax5veMMefGmI0x5m8ZY/6CMWbcVdnhcDi+WD6VOB3mjEIvTsdOqYrIfeIUbuabGtNX0nddL061lZSmCFTVTef0+lrE6atX8lyd0+1WROh2K/uFYZ+Xul73Dm8U9SL6AXdgtLwrtK/r2r3bnfmW4yNL4FuM1zINOl5ODKfzCUdew7TqSOnoWLGkbzFlgQUy7hTeHRPgcDxVHpVABf4q8GeBfwf4x4G/CfyuMebP3LaTMeYfBX4fcYT/ReCfAv534D8F/uJHvF6Hw+H4JBwaUzp0Mz8UGpJX1OE8lG86fD0uhhoeS0WotpIaNuKHfkKUiuA8F0Ga5yJOVysRqjodSttI6bVpm6ntVkSpurvatupuDuWbPnTfoZhtgYYkbPFsSxI0HM19vLZkYmqmVUW4bZkkETFbKtZUiGM6R0L8NdL79BDvXGXggqOOL59H8y02xvwTwJ8E/oy19nd3q/+6MeY3gf/IGPM/WGsP/SfmzyH/hv9Ja+12t+73jTF/5+69f+XjXbnD4XB8PD5VEZRyKKS/r4XUsBhqWMUP74pTdU6bRkSoHlsLo4JAhKeKU3VO81xc0dVKnm82EuJvGnmt51mvpd2UNudfr2/mv97NQ0L7D3NPfSxnZ3A6bfDritiHl88CqDZ43pbOlsR1TUpBjYT3Ndf0kOy9lTh+38owh+PR8Jgc1D8FbID/cbT+vwW+Bf6BW/bVGXL5aP0C+bfucDgcXxy3hfM/dUhf1+0L6Q+PMW4dNSyAKsubQlXX64QozT/Vgqg8l5zT9VrWjcXpcAzqcinHaFvZLghgMrmvmTgWp8PlXbJwvH64fQe0/OZJx2xqiUJLHMNJ0vIs6DibRcxMx/PIMs9yUjpmSM1/RT85KkEcVe/AWd7h4fkMDsej4zEJ1L8b+H+tteP/7ftbg/cP8V8i+eN/2RjzrTHmxBjzLyCi9z/88JfqcDgcH49PGc6H+4X0QcTe8NqGU6KGraPG06E031QFcFX1aQHDsL7n9WH9opAephrWX61EqAZBX7mvIlUr+nXcaRjC6amc6+HTo+B2j3JfWykRov2+6n22RIg4DQNL4lVMJ5agq5hEhnlXM20NsfUJDcCSBGkppQVRAdKYH6RgKkNE661ErlOq48vn0YT4gefAH+xZfzV4fy/W2r9hjPkTiPv6L+9Wt8C/aa39j+86sTHmJfBitPpnd16xw+FwfGA+ZYU+7G8hNQ7pq3i8LaQ/rtTX51qpr6kCKk614r4s++MNC6LOz2+OLd1uZZ/FQq5xs5F2Uj/8IO7p69f9uU9P5RjbLffgoaH929DtGiR4l/PtScfRUcAk7ig3FVG3Zn68xKuv8W1OVzWEfodXvcGjIEAEaow4SOHurOqmVsiPm/ZDPQcuRlfxx/f52A7HI+cxCVS4/V//wfeMMX8f8NeAvwH8S0hH5D8B/PvGmMRa++/dcd4/D/xbD7xWh8Ph+GB8amE6dmmHIf3huvvkmw7FqYpQ3UYLlHx/vzjV46tzWte9c6rFUJuNbLNcyrqikPD9q1cS8l8uRayu13B2Jte6XN7rLoye36el1PgPpe5ps3uUSLbZbqxpWGOIaIqWNNkSm2tCb0vTXbKqXpN0F3jllmdUpORYIEWKo0J4m5M6RUQru9cR8gP+V4B/d/yxLsaS1eH48nhMAvWS/S7ps93yas97yn8OvAb+1KCQ6q8bYzrg3zbG/HfW2n3urPJXeDf39WfA/3T3ZTscDsdP43O7pvvEKewP6Sv7iqGGY0k1x7Rp+r6mup2KU80PzbJ+AtTr1+KSqgOa53Lc62vZpq5hNpPCqeWynyLVNLK+62Td3ezLO71r+0PbNeikKPE4r4E5X88jTk8ComBNSEkcFkw7iG1NW1xzvvyR0zLD1isgY0pNivwwe/RyWZ8zeK5h/j8P/LOjq/nffv3X+Qu/+MU9PpPD8Xh5TAL1/wb+tDEmGOWh/j275f9zy75/L/C7e6r8/yby7/nvYn/6AADW2nMkUvIW87F+GRwOh2PHpxam8K441fZL+1pI7cs31cp4uClOVYQeEqdD57SqJE/U2l6calh/sZD381wcUZAc081GUisnE9n++rqfHFXXkKZ9gdb7FbA/pCG/bqvuqZY0TXfrYkIyplM4Pk3w6o4mL/GCjmcn4FfXtPWKpA6YhwGz64acNRninPq7o2vT/mpwZd3uuf54vwS+Gl3d3z46wuH40nlMRVJ/DUmr+WdG6/8s8AMSvj/ED8Dfv6cp/z+4W/7yg1yhw+FwfAAOFUHBxw3pj6v0Nd90WKWv+aZ6jUOxOmzbNJwGtc85bds+r3QsTtWZzTIRoTohSoWqTocCiVZnWd9NYLmURvyrVV9UlST9437Tox4a2t9XGDWk3W3voa30p55lNq3xaIijjmkSkHgFiV/ieTlBYJnFLV4Lfr7BI6elF5764xwhVfwFUiCVI6H+W8ugkuS2dx2OL4JH46Baa/9XY8zvAf+FMeYI+NvAnwb+MeCfV3fUGPPfIKL1Z9ban+92/0vAXwb+Z2PMf4X8O/5HgH8d+H1r7f/1aT+Nw+Fw7OcxuKaH8k015K7bj6v4h1X5wx6pw9ZRmo8KIk5V1B4Sp0XRT37S/NLVSnJTr65kuyCQc2SZ5JxeXYmQzTJxVM/ORLj++ON97sY+cars+yPsa94/rtwPEQlpAZ8Ij+fPthwfGTzbYUvDLI2Z4uGzwa8LymxJ0FkmXYmhIKYkQOStPzhLiPxQq3MaIQL11h/vMLzzLjgcj51HI1B3/NPAf4DkfD8D/j/gT1tr//vBNsN/vwBYa/8zY8z3wL8K/NdIjvkfIROp/tInuXKHw+G4hc8hTOHukL5yKN9UXw/7m+prnQqlSxWo0Ffn67FVpFrbh+/H4rSq+oKo4USoopBjr1a9sG1bCetPp7Ld+Y0krUMcyiHdJ0IPvW+56agaRDamSCvvhplvOJo/Iw5DJqFHGHRMwpqvZjEn1icJfLJ4ju0uyZscj4LnFEyRH2XNQdWjq3AN6JtY3YoTqI4nwKMSqNbaDTL16eDkJ2vtn0OmQ43X/1VkVKrD4XA8Kj6HOB2nEajAHBc6Hco3HR9rXKk/ruKvqn7bYRW/tqfScwzF6cWFPM8y2UdbSW02st73ZXtrxSHVoiit/E+SPsw/FuJ77sie1w8N7ZvBuo5eLoZIhprH3Cv49uuIF2ch06nPxC8weUbMhsjLSUzOPI45DqfgWbzLcyZ0HCMS198dOeSmE+MPrmCIq5ZwPFUeUw6qw+FwPCk+dcN9Zdx4v+veFad35ZsOjzMWp3Xd76OjSz1P1qs4BRGSQ3Gq7meeS6h+s+nd0SyTc6zXst4YWXqerLu6ksIobVWVpv3UqcvLh96h+7aUGjIUp2PRqvmnCT4xSQppmkO1oN5smIQ5UbSmbRY01YaiWIGpObHwdVZzRsmcfrypuqZ6xkNXd/Bqd7kaf/Iv/h+33QSH41HzqBxUh8PheCo8lpD+sMp+yHBk6fD9fZX6w220d6n2OK3rvsdp08hxte/pMM81y0Rw5nmfW5rnsv8wvJ/n/fjSNBVxqi2m9Fomkz70/8t7lcA+NO9Ut9v3Rxy7p/36k7DiN769Ip2u8UxD21VYAuqmI55VnPiG2aYhaMHWGSZfY+uChoI1UsEf746+3Z0p3q1/EPeb7+pwPGrct9jhcDg+IJ9LmO5zazU/dHzuQyH9fc6pVv97nohI379Zqa/r27bPNfX9/j1rJXRfFCJKr6/l9WYj+xWFiF4tgipLuYY0lYr8y0vZR1tHzeeSYtl18Ed/dK87M3p9aCrUOLR/aJ/he6r6pWDKYwPeNUkCxbYlpqL1t0S+JeoqpkGB73XQVZSm47pYEVJjuMIAc6TsKtodOUAa9bdIiD/mnrgcVMcTwAlUh8Ph+EA8Jtf00FSocf7ovnxT3X/onGroXt1NdUt1jOmwFZWK067rRed63U+F2m7lPXVOq0pyS7WPKsg2FxciUDXHdDqVvNOyhPv1oX+fvNN9+9rBcuieWjwMHZaXM8ss2ZLGJUfTY0zTEjQW365IowrP5hT1Gltt6KoNXZXRZWuKbsGMhtnu6G+AI6S3abw7i7b/v7dAjW5tQuVwfBE4gepwOBw/kc8lTOF+IX3tQarPVUgOr0/XDyv1oc851bD/WJwOnVI9/z5xqg/NNd1sZFmW/QhTTQ/IMumLquNOPa9v0q8FU3l+1525rzjdt984xxREmHaDdTLTqaPF0JJEHc+fW2ZT8HxD5HV4tHR5iTE1vleSbS7I1heYZs23XUO32QDZ29ZRE2CFtPv3R2dqB68P9SLoL9mVTjm+fJxAdTgcjvfkkDCFzxPSV7E6PrdWvd+Vb7qvUl8FqDqnw56mQ5d26MiOxelmI+H6PJfjbbeyrfY8VRGq13B52e9vrUSsJxM5ro5DfeDd4nDe6V2h/aF7ahGpWAAthhCLz0kMPi2zScJkFlNlazxb4HcV06Qj9j2+ikKCaEIV+pTWJ7EdNZaaEg/ePrTn6fjKH/Rj7QSq4wngBKrD4XC8B4/JNdWw/L5zq/Db13x/LE6H7quG+aEXp5rTqkJVzzcUvlqtX5YiTDebvrF+0/Thep0WlWU3J1TpuNOi6Pugpmnv3v7hH97nDh0qirot73Tfvoq6pw0yB6YCPCwZEQHTNOHXfw1OTqYcHZ1Qby+x244khOcnKcdBRRKUxFFIwAT8EqotE2MoqNgiDmqBuKhHu+c+Ilpn9OH9O91TcALV8SRwAtXhcDgewOd0TeFwSH947rvyTQ9V6qsjqi4qyPN94hRuNuof5o5qRf5QnNZ1X6FfFL0I1bB+EPRhfd1fw/pRJMf45S/7qVWHuaso6lDe6aHQ/vD9GskInRJ6hqYrSMNLPC/C96fMZyGUExLTEh8nTGzJs3jNsbfGK3OoK5LI0OUtdnmBX6yJKSkQ6dsAZ8iUGo++ij/lgT/Wrorf8QRw32KHw+G4J5/TNYX94nTf+Q+1kFJUnA6LoVSc1nXvhKprqW5p0/TbazW/5/Xn18p8zTW9vJTXWqGv+aXaTsqYvvhqtRLRqikBUQSzWS9gX73qUwMOcyjv9O0nv+d+Q1Gr7qlBwvse4OOZkogN09mWr16WxElHFEW0jSGNOqhqjucN09Ay6Tq6douxazANz7uOpAWPGqiJ0YxW+VEOgYR+bKLH4Svfi3NQHU8AJ1AdDofjDh6bMIXeuRwzdEn3iVNdv69SX8Vp1/WtpFSsapsnFaeam6rb6/hRFZ9v3vTiVsP6260813ZV6qCu17K9FkulKcSxbFPX4sLe3Yz/NnF6H6F6qOfpcP8QKEiijq4umURbPBuQJHOO5hFlsST0StZZRkROYyts2zANPbwgoc1KpoHhxPMIvICSnJa+/6lBhqVOENf0UCfWQ5/gLa7NlOMJ4CZJORwOxy08NnGqU6HGFfhwWJzq+8NK/WGO6bhSfyhO9bmeW5v0B0GfQqDiVJ3Ti4u+T+p6LYJUnVN1UlWIarh/tZJt41jWR5Fsl+fw/fcPvWsPyTs9VBilj2FbKam1D/0NrV2Rzkq++TrhaB5wfGyo8w2rxSs8v2EatpiupGsvqDdr0tZyGgUceZYwz/HLjIycKyTftKBv0F8MPsFw3OmYg19B56A6ngDOQXU4HI49fG5hCvcL6asQvW++6bAYSmmamw346/pmpb4eZzy6FERYqhDVEabafkrzUTWntCj6Svwkkdc6wnSzEWHq+yJSVYi/etUL5MPcVRR11yjTfSK1oxepWmPvM02nYD2ezWoi0zKfp5zMfXyvxfMz/KBj5vucnUakpsGut5jIktgOY1q8uoTVCtMWZGy42p3RRxr0B8BL9rtH92oxX2l/3AAAIABJREFUBU6gOp4EzkF1OByOEZ9bnGoIfsi+MD+8WwylYXdFQ/Bw0znVzzJ2SoejS4c9TrV4ajiFSsWpToq6uLgpTnUUqr6v4jQMZZvXr0XQarV+ksikKJDtvv9ewv533K3R60Pi9NC++wqjxu6pEPiGaephbEKaHPPiLMIzlzR2yXa9wlif0HpSNEZH2GZEYYdtLbUNMJ4hDsWiLrYZHdXb8H6KFEm19M6RN7iqB331tK+Yw/EF4xxUh8Ph2PG5hSnsbyF16LruyjeFm47pcMLUUKgO20ipk6rPh0sdZaritGkkZJ9lfc6ptpIqy35SlIb161qEqLaTur7uz6t5p5qCcHn5PnmnY27LO71N2OpDpaGUKc2mlqa2zCYVcZhxdNwymYbMpwXUEbE3I+8KkjSjzpcQXVJt11gTYf2AwO8w6xV+6FFxTQQ8pxeiKZLl2gFrRLgmiLP6IPZ9ERyOLwz3LXY4HA4epzgdh+KhD9nfpxhqWKk/7HE6FL1t27ueQ7Gq4fxhtf5YnOZ5n3OqArSqeoGqI0z1WtJUzvHqVZ+nmuciTJNEHiDC9Pz89pZe+4uihs/fp3p/uH44NcqSxIZJIjdyMqmYTnMmyZwXL87wOSP0wTMxx9MTZmkLJqMuNhynIUHUUncZnW1o1xlRkxHSESI9Ts+A093zEGlmlSNTpTaIq3qv0L4S33soqsPxaHEOqsPh+JXmMQjT26ZCjRlGbw9NhtpXqQ83G+Lr+5pnqj1NNf906LRqYZQWRGkv0+22F5oqSIdFUNoWSgV110lY/+pKzrNYSCupNO3PeX4ubuzto0zvqtgfcqhi/1Bof9hWqn9M046utRzNOkK/5OVzOJobTuYt24WFoiSMY6Y2ZhZOCZKAF+aUSVMT1zlNt4FSEnG75ZqEhhnilF7RjzKN4e3oU+kZ8B59UF0OquMJ4ASqw+H4leUxiNOf2kJqOM1pXAylx9dthuusFUEJvXM6DOOroBw6ruu1CMuyFCF6ddWLU803VfGaZTc/WxCImL2+lm2WSzg6gum0P/71tbinq9Vtd+w+4vSuvNMh+0adDsP7cDyHNLE0ZUcYwjT1CEKYzOSeRUGDlxpCC1+9CAgwzPyQeVVB3mCbDt9YyNfiTDcdCRlHSHHUNRLOzJAf5c3uKk5265vR1d2Jy0F1PAGcQHU4HL9yPAZhCvtD+sa8X39TLWKCd8eWah9TFZ1tK6+HbaXUKR2LU72usTi9vOxfqzhVF3W97vdvGhGnWq1f17I8Pu5HmHqeHFPd1cPs+8ONb9Z98k4P9Twdt5WS/NPTk46usSRRxzRpeXEWMp15dO0blssGU5RMw4RkGpDEDVHT4dcNHh1R3FFWBW2XU2y3TNoNtrwCanzEJf0WGZ4KIlaD3esCEajjH+o7v6YuB9XxBHDfYofD8SvFYxCnt1Xpj6/vPvmmGp4f9zjVcL+2kRqLU32u1flDcapCWVtIjcVpVclrnTalDfivrnonVtMFlktxT7NMQvgqTqNI3i/LXsD+hLvKw/NOVYQOC6N0vdzks2dSGNVUHZMJxGHHdGpIYkMSg9fWRCEEtibwOrqiYmpEpGZFwSrPWbcF7XZFs1yyWK4oMdTUWER8logY1Smuy93rDRLe1yb+98I16Xc8EZyD6nA4fiV4DMIU9of0D+WbDoXouL/pkEOV+nDTOdUCqKGTui+cr6K4aaQ/6ViclqU8dHSpFlldXsr+USTrJxPJM7266nukPnsm74dhn1qwWIh7WhS33bnbAtz3Ead3taMau6cAHi9fdGzXljjuiPyWr7+GOCqZTGoi/4QonRBQY8sFR2nGbOYxqyv8JKAtPbbGJ4l8znKPIIzw25aMHIuE9wskhF8iuaftbn1IXzi174f64Nd2OnU5qI4ngROoDofjyfNYxeltVeq3uaa3FUMNc1NVjO5zStVx1eMNC6G0cn+fONVKfR1hqm2iLi7k2CpOp9O+wn+zERdVXVNtyJ9lkm/64499QdV+PpQ43Zejergw6te/s2w3coNnR5BGliQ1JElDmoDXWLBbtts1PpeUbUy7DQlnBq80TJIQagPGJ+pajGepV1sKtnTAEZJ3miHjTStguruqYyQH9cF+qOe5HFTHk8AJVIfD8WR5LML0vlX6920hNRanw+MfasCv4lSnMg23D8M+D1VD84dyTouiH0GqDuz1tRw7DEWMTqeyfPVK3NEsk/PFsQhUY/oRp69eiTg95CLfLU7vg3qUDfKzpzXyw7C+RcL6LTp49PjIoyoCAmMITMtXLy1pbEmmEV27wdZbiuycsrzmaFqyWhuezwzFtSHu5A8XRwH11ZpmsSattlRdToPlOSJQu91Zj3ZXBRLqb3ZLdVPvjU5ucDi+cJxAdTgcT5LHIk4fGtIfVuXflm8KN5e631CwDp1TDafre3p/ho35w7Cf/KRitChuilNtTaXC9+qqn16VZdI2aruVXNPlshey87n0OVVzb73um/EfHmV6W8X+2zty4LlSI9mc+eD9Ggme+9wM7TeIn1nya98aVssW2pDT4wmBD1FsmM0sz449Fhch2fp7ttklJ0nCy9MZx6aiqV7RxSFJGFFvO9JJhL80VDR0qw0ZDRFrEkSYqnM62z02iDy2SB/UBpjzgB/ryeS+WzocjxonUB0Ox5PisQhTOOyS7uM++abDYqjbmu/rueu6d2XV7dTKfWN6s21Y1JRlvWtaVRKiV3FqrSy1av/qqj9+nosALUvJJ10s+sKp2UwEatOIg3p5Kcd9/foh4hTeDc3fJ7RfIeJ0gkhCi4jQEClBGob91Wmd8vyZJdu2+KwJPMPXXyVMU0ucehjrM0tTuiIAG3M6n5IGMPNKusaS1xXPA0PodwRtR9I0NGFA21liSmrkx1fzULU5/xLYIrmnx7ttCiQ39d4/1q5Jv+OJ4Kr4HQ7Hk+Exi9OxczlkX37pvmsei9Nhpf6wC4A23B/uN6zcV8fTGBGQd4lT7Zea532x1XLZH78oJK+0rqXJvrqi63Xf61TPe3kp+15f31YUdVfo/r4V+yDS72bhkzyv6d1TPUYDePzstyHbdLSVJQogCmrCyDCZGo6mLXXR4rWWSTQn9iOO5xGJbwnIMU1J0Bi8wMOjI8jX+NuMo7bi6HrBHMMckcE6i+CMPt90Tu+YevRJB/cmilwOquNJ4BxUh8PxxfOYhemhdfsa7d+nGGq41P3HPU6r6ubUqLqW8L2KRBANo+JUW0aVpYTni6Kf9qQFUdpSqixFYKpYrmsx7ayV9a9fy7kvLuD5cxGuer4s68P/h5vxfyhxqscJuHnMFhGlPu8WRoUYCk6OO4qtxfotgd/x9TcBp8cd6cSTe247oqDDRBNCO6FprqnqLXm3YOJ5REHHpqyYT3zabUVdFRTrNVESEGQ1we7MFvF1NdkgRSZL6Q+zbjP+BLcSuJ91x9PAfZMdDscXzWMXp/uub1gINdxmX/P9oSgdnkOPUVU3e5zuE6c6HUrviTqmKlLLUkTpZiPPddpTVckxyrKfGLVe3+y5GobyOD+HH36Qc7x6Je2kJpNeROs5NDd1f2j/oeIUxPWs6AugIkTu6fYRIv2y3b4d/UBRuOmuxvzsdypWiw1dYzk5aomCiCiMiFOPo2mLbVr8rsbzLbEXcvTiDL/xmHYFQe6RGINtWrKqgKYlrja0bYlfFJRUtOQkiDDVDqzadTUCEiSsz25dOrhSuN0rBuSP4Rr1O54ATqA6HI4vksckTOFw4dMhgTp+f3zd+4qhhucYtpHSsLuG8VU8qmM6vAbf7/erqv6x2chSpz2VZZ9zqsJ3teqFsF5DHEtY//vvZd35uTins5m8ThIRpFkGv/iFHCPP2cP7iNOWvqxI5V5M70mC/MzNduu1Ll4D6G/vJmCYpAEvzqZslh5eUoE1fPdNwPHck9ZYkU+9qoiCjq6FNIajNGTuzYiyCW2XEdUxSdQBW4rVOc3lG85si12uqbKMLRkniPBkd+XaU0BD/B0it6Pdew9yUCcTF+J3PAmcQHU4HF8cj0mcHgrpq1BUxi2khuvGjIuh4KbY1LC+nqOu33097G2qDJ1THUtaFOKKVpUUNqk41cIndVCH4lR7qyaJCNoffoCua3j9umI2a0gScTKTJCDP5Rzacmp/v9N7y6/hXaIfCDr0I7eI1JsMtguRn7uEPnA+9C4Nvmf4O35mWS89bJMwP4rxaYkiS5zCNGnx2g7bdtjOEpmaSdwSR5a4yvHDBptZksTQ5g2TaUR2VePlGaau8UL5Q3uI+DS7K1Ix+vZvhEjo/sr2f/KDTKe3vetwfDG4OIDD4fiiOORIPiZxCu9epxYm6Xv3FadDUaj7DttGaW6ohvXHlf0qWj2vF6dF8a44XS5lqe5qnsuyKERUakg+CPqepjoBqusaLi83RNGKOM7x/RXWbqiqhu1WttMJVO2DKn6UQ3mnKvXG7zWj7ezgMTyevB/4hpNjy9HcEviWSSo3/5uvLUezjvkcwsSnazpiU2GQGzpNWkxVEkcWU3ZgO2gbTNfSFgVJAMbzaLcFXhgQUuDxbl9Tn/7H2IyWDyYIXIjf8SRwDqrD4fgieEyuKdzWWP4mY/G8L6Q/FKv7KvU1Yjs8p4b09XjD/YJA3guCm46nitO6FgGqzfiXy95RNUYEqTES9tdWUdovtSwlfH91JYVQVQWvX1f4fsHJyYTJxFBVFs/LWCwiNpuA16/l/GW57w79lKIoDX7rMXQiVMBNqTcUpsM/nPiUvg8/+x3LetlBZ4kTC50lDCGe+IReg991VFVL5BtM25FGLWHskTQNUZsTTj02dUDZZHhBS7e5ZlLUBGlIVW5pl9fAlmNEPhf0nm7CWDK/+0nvjctBdTwRnEB1OByPnsckTve1ihqODB1zn3zTQ8VQw6p+dU2t7cXp8HoOiVPdx/f70aRFIaK06246p8ZIrqiKVG3UD3LMupa2UauVOKJ5LkI1ihomE0McG9oW4thwfm7YbBpevxYh/H6h/bsq9rWsaEtfAJVwswBKBayG9nW9BNDTBI7mljSxdLUl8uXGf/stnBxbklhEalc2eE1FEDS0viENG+KuIDUFQejBGqZJQlNYwqghrmLiosKvOuq6xvoBSZ29nRZld1eq+ad6Rdqp9b2/2q4PquOJ4ASqw+F4tDwmYQofL990LE6HRUg6nnQYwh9OhBruqwVQOrpU9x822M/zPp9Uc06rSrZTEbnd8jZ3VK+5ruH4uB9hqsdpGjg+DggCS9tawtBwddVR15bFImC1uq84NaN192knpQVQ2upeq/g1iD4O7etx+tB+EMBv/5ZltbTQdvihLNPUEEQdQVBQZgWmgdCHphVxmk49/LbG7ypMJR8wDAL8zjDpDLGBzgvw11vi2ZSgzjCFXJ3HzT6nY37y19s5qI4ngBOoDofjUfIliFNlX77pvqr8MfuKoYbn0bzRYY9TdTqHTq4udVKTbqPtp9Q51TZRXdeLSw3fbzZynDzve6LqNRcFnJzIvj/8IIJzvZZtTk9hMomoqgRjMlYrCfFfXCQslxHr9d47Nr4T3C5Ob8NHCqKG7uj4mMPQvgpUj+NjmE4k57SrLWFkCQPLi68NaVxhuy1eUNKWNdUqZx57+NGc6cQS2orUFFI8VRpM29BVBW3YUizPaZdLpoG0paIs8VYXN4qehj++9/2k99rOhfgdTwQnUB0Ox6PisQlTOCxOx+v35Zseuu6xONWlaotxG6nxNKh9k6nCsD+nhvrLsndONay/3fb9TzWcr+JUnVNNL6gqcU6Xy77BflFIKsDZmRSNd11AHM9YryPatuHyMuD6OiLP9/3EvI84PfTHt6PlWJzuzzkFCHe9YX/nty3rlcV0HekUmqIjjlu8cIU1V9gqpat9jo9SNuslcdfSzD3aOsePa9qygarB1hWboiYIK+q2or1+zXK74WizZJZnxGzeZsxqMsLwarW0q9i9F/IeLaZA/m/DCVTHE8AJVIfD8Wh4bOL0tsb7+0L6+/JND3GXOB1PhxqG9TUPddhGSgupmkaEquaaNk0vTpumH2eqBVE6vlQb6WtXgDCU17OZCNjLy75H6vU1vHghU6K6TlzbxSKgbaUgSlMHsuyduzd6/SHF6fiYw9B+jbSkahHpl5CmHi9fWOKwI6cjDC3Gdrx40eD7G9r2miiuaNuWNoeq86ibLbOkw9Ypdb2kqjMmkUyXKryWzeaKSdhgNmuaqqJbLbC+JYg8IrZvq/W1jdSwKKpGRp+Wu/eL3bphR9d7EUV3b+NwfAE4gepwOD47j02Ywv0b7x/KN4X9Yf67iqGGk6L2idOuuzkdCnrTrKpEWGoLqabpC6LG4lT7m2pOqwpUzWUtSymIWq9FnF5dyXZXV/Dypegga2Wp7aPW65ttq0Z3avT6p4jTfcccb6t+ZLZbakuqltl0Shyd8pu/EbO4svieJU3Bs5bprGY6qwj9GbHXQBtivDV1C9ZWzJI5R5HHPPKxTUvbtgTGsi3XtFFLsV5Qbq85SXxa65F4lm5zRUPfTmropOqV6zysCb2AzegFbYNI62GG7V6mU+egOp4ETqA6HI7PypckTg+F9O+bb3pbMdRwchS823xf0fGium24UysqTjXXdCxO1R2ta9m+afppU3kuLmnb9qkB87msu7qSh7US3j89lUJxz+uLsTabvniqqkTQ3uQucarrbnt91/GGx62BFb1AXaDSzhDh+xd883WHsWdEoUfgWTzb8vKFJYpqAh+ev4iptxHrizUeGUVdcTRNSNMEU2/wugJbl+RBhGdq8m1DGvl4UQBlRZFtCLYr/KbFFNkNT7dPNOg/TTNYr85qt7tyrfLPkQlUM2758R423HU4vmDct9jhcHw2HlPTfeir5A+9N+SQON2His/hmNChGNVKfWXY43TYD1XD99o+KtipFK3cV3E6bCXVtvJcC6U0PaCq5L0sE3Gp4rRtRZzmuQjNy0s59/m5mHPzubimmlKw3cr+v/ylPH/9evzp7yNO7xKr+7a9Le+0RMSpTrIPkZGoEafPJiRxyrPTDctFSRhYkqgjimA6M8znIYHf4bWWwJuQpiEYS5LETOOWsN4wiRuiqSEIYWoarOmIo5AEQ5NtKauaKtvgxTEEAWu2FIjAbOizYjt6QRoOrl7fK3fbTwaPAnFaDzK28x2OLxTnoDocjk/Ol+KaHso3HVfpP6QYCnqBCX2lvr7WfqN6XHVdtZep5p6qDtFwf133LaOKQkSjClUVrXq8qpKlilPtn9q2klea59KE//JSzvPmjRRKHR+Le1pVIlIvL+W4V1firi4W79zB8d3Ys+4+7aTGx9snTofUg+cBknvqEUctBpkQ1bUB2BrPS8Banj+zxLEhSSKm04SuXJMvM9pmg29CJlGAH5Zs8ytmtqOiIA0iwjCkqzLSxCddVVA1bCO4LCqMbfGrJTGSjKsNDbTV1FBGSmasiFhd79OH+/VTajrAQfa1kHA4vkCcQHU4HJ+Uu5rZfw7um28KD3d471OpP843HV7TsMepToUailPtfapV+SpOtcl+Vd10YzXvNM9lO+ivJ45l2+vrXpy+fi2FUmdncq6qgslE3q8qaTt1eSlit7mhnD62ON33vlbt65R7ENmXAiums4rpxOOrlwFXlx5p6BEHLZ5nSFJI4hrPlHRNTeR75KYjjBIib8LXpxav8bDlNbarCLwW0xq8yNJsWxIPClOxzBaU6y1HPmSrFWa95AwJy4O4nxU3RwmAVOx7u6WWcjVIgsKw8t9yxw/35wxBOBwfECdQHQ7HJ+Exuqb7pkIp+0L6w+W+94avh87nsMBpKE6HY0j1MTy3hvaHI0vVSVVxqgVKQ+dUm/KrOFWRrM5pUUgxk3YJCIL+mpdL+PFH2f7NG0gSeP68z01N016cXlyImM3zccX+hxKnWjqkJUYRfU27bt8iwfB69164e6T0fuSE2fQbPDq++9anLD3iMCWKI4xBqvnjBrwtUVJiq4rNpiQOG9rWJwl9TGBJA0vXNpi2oMVn2ywpKsM0iplbQ1tX1HXDd50hMgnNbM7l4hXt4NOq0BzfHejHDKiDqukAWixl6ZMWDuL7ff6Fw/EF4xJVHA7HR+cxilMVkIfeU4YtpO6bbzp0S63tBeIwNXCfOB07rcOCKHVQNZxvTC9Otc+pToDS1ypOod9Wc1PDsBfM+lBxaoyI0CAQcarXEIayvmlEnF5c9BOpBndsfEf2rNtXsT+mQfJGV4hEWyFBci0nAhGn6917ObDcvbaIZ3kMTJikLzk9/S2+/uo3+PrlCU11ShROSWMfz4M4MYRBiaEgJGA2SfGNT9nkbLbXROGWoNlSZRvqfEsaBDStpalq1tsNeb2mzra06y3Hk4TUC0mSkJgOw5ZqcMWWvgp/PNZ0GMLPd5/aILmnKXDEHQVS0Ccm7/itf+N/ueM+OxyPE+egOhyOj8ZjFKawP6Q/FJbKvnzT2xg30YebxVDDSn3tdarFU4fc1qE4HYpVzSttWxGm2624mMMqfj2uOqfaDzWK+j6oQSDnWSykEMoYWQaBhPW1gCuO+4Kp5VIeVSWV+4M7Nr4je9bdt51URV/opL5jxs3p9cNtNMQvxVAi5cRxPTmRCVHffRtSlTGTpCMKLbbr+PpryySFMLXMJwa/s2wWGdgtXVcQ+jV5e4HZFnjVBYnXsKlqTFsxT1O6DYR1RVusCOoSm+cYWpp8S3PxmpKGbHdVMZJwMGwTta851hbxhNl96gSYIz/Yt34Vw/Dz/+NyOD4QTqA6HI6PwpckTuGmkFT2idNDBVHjYih9PUwNGJ5DHVJ1WHXdsC/qsLJew/HQjyLVqVBZdnOcaV33x9LnWhA1HIUaRbJcLiWXtGkkrO954pxGkZxbGvHLdS0Wsm2WjSv2P6Q4hb4USI+zr0SoHm1fIvLOQ2RdxHRi8Tw4PbGcnlhefW9JE/DoCEJLFEESW4LAw9YNJujINgust6BtAk5mCTEl280V0y5n020oDGA7mqogCQLirqGrK5qmxW5yvt+sMLbE1AXPd1fS0Vfi6w+vVup3iJSOd5+oAKaDbVSW3/mDHcf9H9Xh+MJxAtXhcHxwvqRCqH3vPSTfVNfdJk73VeqPK/uH+6poHYbh1eGtqr7R/mbT538Oxelw2pSK2M2m7wIAvY5Zr0VwlqVU43edNOKfTOQ8cSwV+m0ry/NzOeebN3rt+/5P5KeKU5B8Ui16GmZuqo9od9t0iJO6RaRchXiUGb7n8exZQBRavvumI88hDjuiwIKFb76BdGKIJx5Hs4h8Zbg+f0XeLGibnDScEMTg1zVn8ym2bPDrilfLN9BWZH7Erx2d0AZQbZbEAUz9gNY3lEXD123DM0SgFvSN9qEP45e7TzT0gceZuSrL7/wnpP2/Pvc/NofjA+AEqsPh+GB8Sa6pCsFxvulDQ/rDHFN9qOMJfYhcC5yGPU73hfJVQA5TCVWcav9Sa0VYDsWpFkTp51XndLMRgTrMXQ0C3k6S+uEHOY6K0K++kkIoDetrLut2K/mp67XknlYVfDxxCiLlEvpMTHav493xGvoiqgtE4s2BUyS8X3JyEhFHPt98bTk6gl/8UcvxscFHQvzGM0xSS+hbvA6mScCyCZinJ9RVyjyJaKtrfC/HtwWWhsZYjtOEuvapy5b15ppV4JM0DbOyIYhTkiIj2/zAjAVT+r4C9eCT6JyrKX3PgWL3qTVZ4d6V+zduq+uD6ngaOIHqcDg+CF+aOL1Pvul4itO+YwyPo6/HlfpDgTkUkbqf9jbVbfU6hvmnQ+d0tRLhOAzrq1t6SJxqzqkWRDUN/OIXInC1RdS33/aurXYK0NZVFxe9E1sU8HHFqUqyKeI7trvXGuiukWIorW/XsP+UOJhSNhFp0jCZNKSJ5asXHeuVZTa1GGuxwMuvDEkCceoxn3f4bcfquuboaILvBRTemsm0oFhklGbD2VHMpiyo6pppMCWJDe2kpl1f41UFszDCzypMmRMFHoVt3/q/6vUOR5wOJ0dB3xdVkxNUlmsO6q2V+4q2Y/jc/+gcjg+AE6gOh+Mn8ViF6W0tpB6Sb7qPfeJUjzns8KMh++FY0aFoHfc4hZvToTT/VMVp1/XOqU5/0up8/bwa4t/nnHpe//oP/qCv+s9zePGi1zd6rCwTMfrjj1Igtd1KW6mPL051GdCXFA3r4EskQD7ZrfOAN0BA2URAx3xuiUKfb7+RHNT1suNoDr6xRKGE+GdTCDxLVzXEYYdtPDyvw/MCZklMGnZMj2KOAo/EtGw7j6raMJ2fYvCYexFeGjNd1fjGYssKgyWoK/ysoiYm35U7zRGhqZ8g3H0CRYWsesQRfXOte+WfgljfgftZdzwN3DfZ4XC8N49VnH6ofNN9HMo3hd45VYE3rtSHm6NONc9UUwBUW1RVL07Vxew6cU7LUpbD6vyxOF2vRUyqC6rucBjK/n/8x7343G6lICpNe/fX96UYqiwl53SxkGt58wY+nTjdt70Gv2vMLovTvi2UipBa+YDTk47j45iTo5Cz55bFVcd0Cp6xtC28+E5C+1HiMZu2+F1Hk9dMphFVGVPWGafzlrAsmacnPIs6ErvBf3ZGGHiENIQ2IDQlER7HUYS3uKLoKhrTES0uOKkXzCnfFkBpKF+JEXmdDz6l9jgN6Lu93qch11vCUB4OxxPACVSHw/FePMZCKPi4+aZwv0p9Fafj/qbDBvxt248NVVEIIlaH4jTP+7B+WUrF/b4WVSpEteWUilO9rjSV9d9/L8doGll+9RVMp73D6vv9mNQ3b6Rwqq61ef+nFKeHz2GwWGQMVoBPg92tOyYMEo6PA0I/4OuXnoj4piOIDb5nmSRybdO5h286TNcSeB1Z3hLHPr4/I60N06BgGk04NiXzxBLYhK6ZYY5bqjwnNC3xpuPYCzgOA/KyJQp86rIhoiWhZoZ4u/5uqQVP+ommiGPaII7q2Ck98P9/h4njfhyYw/GF4wQZS+3+AAAgAElEQVSqw+F4EI/VNYWPm286bKI/zB0dF0MNr0Vfq2s6LKIKQxGnWnStolOPoxOfhgVRm41sV1U3ha9uv9n0E6LqQQem6VTe++GH3n3dbKRafz7vr9/3JYSvk6aurnrntKo+hTjdt4+5sV0cWMoGYs9Sdh7N7n27mx51cnIkeacvO05PLZfnLXFiSKOWsoSXX3skUUccwXzS4XUdtqoJI4PxwLQBR0cTUgtTz5KaCltuWVRrqmZNWxR0jez/YjZhdrGlazqayKOuO2LPUpc1ATE1NTF9rwE7+lQqSi19/ulPwuWgOp4QTqA6HI5781jF6UPzTceTIO9bDKXnGhdDaRX+MH9TqtzfnSo1HF2q4nRY6a8V/ttt75wWhYTkjRGhOtxOl0Nx2jT9tcznN8Vp28p28znMZjeF+mIh153nsn1RSO5pln0qcToO7Q/zTi0+lsC31I2l7WaEJqS2LWkckpcdpyfS7zQMLC9fWKpS8k+NrajqkmTSUlU+xycxnpE/Whh0bBctUSTni72ayGsIu4awK4nijrrOuV4tCenwAh9bFmxXSwrPZx4GVMsF5XrNxPNJFtfYxZKSDRF9Vb5+5Tr6BlrDT3lThr8nUdR/uRyOLxzXi8LhcNzJIQH4GMyafSNL9ZoOjSwdc99iqKHQVJE7FqfaCgr6EPzwnNpwX9tO6TnUQYW+AErFqYrVLJP99PhDMbteyzWpALYWjo/lvVev5FhNI8vJBE5OxMXVz6LitShk+yyTFIDV6mOK0/H+w31uilOQ4qZtKWH9MPCp7YQ0OgJvAnhMJgFhYPmNX+s4OoLVosPzGoJwQ1WumE+3BP4KY1dM4pLAl9yIKN65sBZ5XlXEYYW1GZvFFRfrNU2bk6QRTdVgbMOm2HJ1dUFe52SbLZ7n4bcVflthyN66pvtcIK3e3/cDfOiO3etOah9Uh+MJ4BxUh8NxK4/VNYWPk2+q+982tnTYRkrF5bC909BlDYKboX8VyUMhqcdWsalCUt1Ma0U4BoHkoQ6dUxWnw4lTbQvPnskxfvzxZqP9OJb3VCgnibik0IvZzUbc1Ovrjy1ODxVFmdF6SAJLZw3TsKVuYvKmJTAZeD55bnl2mnB6EjJNLafPDOuluKJxVFJVJcenM5LUcvLM4Hlb2homk4TtsiPwLUFoaKuWSVjjtQXb5TVJsCGiJC8Lyjqn7mLyIiMJWmxZ4jUN64uMOA5oGx+vyaEqMYQ0ePh0e93S8d36YP+U0vTGy1mVkRQbbb3gcNyP5fJzXwHgBKrD4biFx1oIdZuj+1PzTfX9Q8VQepxhpX7b9nmgw9Glvt/nmapg1nP7fr+/9jdVcbpe9+JUp0d53k1xquNLNaw/bPh/etqL08VCts8ycUxfvuyFcRjKb1HXybkuL+V419ew/ujO6X0q9mWZRpYwgKbu8HyD6UL8dsbxacJ605LEPi/OQuLI59d/rSP0LVcrSxp32K6iaSzPTy1B2OJ5JbZdUBYJE9MRhj6ekf+5mE8sbVGTJhVNW5LgEacTTmn5odpyvljQtDnleonXNnRdQ96U+NuCJI4pry+pVxsMG1I6Ym5K7X1ZtXfxoH9uSXLDQZ3nW6bZqv8/EIfjPlxdfe4rAJxAdTgce/jSXFPlPv1N71MMNSxqOlSpP3w+FqfDcP+4x6kKXt2mrvvQ+lCc6mt1X7XVlL7ebkWEqh7Rqv2TExGd5+ciNLV3Kkgjfk0tiCJ531oRp69fy+vtxrLdQHPjXr7raPavP7Q4vZmNaXZ5p2VhSRJZgzFMZyF5EYO1nL2ASdoxm3ScnEC27iS/FujagLMzQ2dr4qSgqrb4XY4NLFcLj+lkShR4QI1nN5T5GooFIRVRYrD4zNKU4zBiUWU0dc5JlDAvayaRz+V6SxT6zKucqGuwxYoE83asQEcfyt8X8n8f0XoQ7VO2+7Ju45QumcqXwuG4L48kTcTloDocjht8aeL0rnzTh06G2ldxr8dQh1JRcapO61CcDqdAwc1w/lDYap/TqhLBWdciTlW4GtOnDmghlRZEqR5RoXt6Ko7p5aUstQOAMfDdd+KYtq2IU21XledSpb9cijhdryEvbtwZvaujO/ahxOmhc8ljElvqWszBroOqNtIzNvLoWsuzZ3B8JH+sr78xNFUnnQo6i+9ZPD9mkkR4/pq6viL2GqbxjNTEQIGxBU1T47GizBeEQQ42pylXEBppX9XCdDJlFk858SDoOjCW1WpF11YUFqqmhLpiGkxIiIkI3yl+2lcUte8uvjcuB9XxhHAOqsPheMtjDenDT8s3vU9If1+lvh5Ll2PxOhxbOrzOYQN+Y3pxOnRku66fAlWWIjqbRsRpVfX7DidF+f5OSG77FAHoc06vryU6pxHd5VK2+fpr0S5FIWmK63WfInBxIfuUhWWxgOXqxp3Ru7rvrt3xeh+3HeemOA08iAJLGBliOopCxpK2JaRTD3/365UmliS2/Pp3lqOZZb20nJyAbS3WwsuXAbPJFBOUeKZmMkmZBlDmHn6YU7ctnoHEzwkJmYYNgR+T1w2L9YajOKAsCmzbMo0imnSKf3WNsRU0LceN4SQwTDYbsuWaqFkRUdLQ0gIV/WSo4Q+ux+3i9L0q+bXNlMPxBHAC1eFwPGrX9EPmmw63vW8x1FCcDs+p4nQoUocN+HW8qLqcw3C/Oqead5rnvXOqglRzU4fid7WS7Yefr2lEnC6XIkw1fUyXX30lVftlKcvttndttRG/7UScrt4Rp/eVSQ8Vp3cXRUVBRxRBU0m4vu0MZSnOad0YlkvLixfSViqNpWq/KjrKyhD4nbjnvkccdUyOEiJ/jukaIi/ENCXYDs90GOsxiaXgKY08AtORBobk2QlVYYnCgK5tWW82xKaiy3L8tmadFwTAfJaS1jVBW9Fu1mxoKGhpEBEaIoNZE2TcqTf6pA1QA+1u25Cf+MP8GFprOBwfACdQHY5fcR6zOL3LNR0KT+0n+qGLocaV+iowh71I9RxdJ05lXcv7Wu1f1301f9v2RVGbTe+YlqU8V3GsIX499mrVt5nScw2r9TVM33US3jdGCqLiWI4dhv14U00nuLyErrW9UO3vDJ9PnFpCT/JNsZY4hqI0GM/g+YZ0Yihyy3QKZ88lP/W3f8eQRC3/P3tvEmLbum95/b5qVquIiF2dc+97z0fyhLTx7ChitmykJmh2RBPBTAWzlUoqmq0kFdJEQQUFEYWnHcmOmIqo2EpE9GFHEDuSFinyMN+799x7zt17R7GqWX6FjW99MWesvXZ1intj7zsHBGvFWrOeKyJGjP9/jP/LX8By4VHCY73gRy881UKQa0dpJM5mSLfl0AlCCBhhMCajyCxNbcnzgMYS+han4MmywAjF9fUr9sMB2x/wfYvranw7kHtPrhfk7QHrBhol8C5DIGlouSKqpxKoiSR1OojUAgcigZXEsac5sGTMTf0oGPM4fnBnzPgeMBPUGTN+jfG5lvSny55DWjapn6dmqGkU1PR4kuqZFFTnRuIZwsOop9QKmHpR0/LJib/bjUaoZIo6JaeJGCflNCm6iZxPe05T/+rhELfx4kUs5w9D5C3DEPczDHHf33wDfRfuWwL8/bX6VZDT8X0jY8leHmvggxVoIwgB8kyiZOxJ/dGXgbIIXKwCizJQ7wNaWwgtXd9j8pwQNDrLyQuPQVKYCl9bvBgoFxm2FVytBMZ6zELRdVtMNiBKMM5glMG6nn7o0XgusgwpNNZoDkJQObC7O9rtLfXdBlzHCktHiySW93viSFNJJKTT/tOBSE4Xk9cOxHaA8h1X6a2YfvBmzPjEMRPUGTN+DfGYVdO3lfRTlNKH9Jum987hnFN/amqahucnTMnp1Eg1zTidBu9PjVuJ+DoXS/kQldNU1h+GqGwmYpvc+lPldNpzmvaR3PqvX4/bOhzidl68iFOiUsSVtXEZa+My33wd2O/GJIBfPTkdTVGZieqpHeJjb0X8x0FJihx2W3j27GiM8p4vv4wXerN1lPkO61pcELy4bMnLklyDtAOWFj9saVqPMhrrQGqFEh685Emp0VlGaAfKqqQoJMKBswM6U5StpR965HBg3zR4O2DWa1ZdSxYcom0JBAwBD/df7vg4EMnqlnGS1Pb4fkH8Y5zI6yQ29+NgzPuXmTHjE8FMUGfM+DXDY1ZN39dv+qFmqLedzzkz1Ck5TUQ44VQ5nfanpj7TqTs/leATkhKaAvcTOU2ktW3H/U6D/oWISmdSTtOxKBXHlG42sayfxqDudnF7z5/HXtNEThMxdi7u+9XLwHYb19/toO3g3Waos1fyA5dLOBcnNX0vAJZMtpSVQyDROmOwJqq/TrJaiOjMV7CoAnkW+M3fFKyXjvoAi7Kl7xvyrCIzoA0I0SCkoB9a8Dv6ZkvddFQG9l5zUSqsylgZRaYkVV6QLXUcoiAs4FAITBDkRiHqgdoNDHVLefwsqaFhYS1KSOojzSyQWBoaohq6JZLUjkhU6+MZa2B3fK0glvctsVf1oyFl7OeAx/MDPWPGd8BMUGfM+DXCYyan31e/6Wlpf/r6dGxp2uc0ND+R06kZahjGZdMxJjKZAviTajolp9PM0v1+JJyprO/cqHimftaUp6pULN1PyWki0YmcXl/H9xM5tTa69ReLsec1ZZx6H4/h9atohmqaUXX94chpOHk8F7g0WoVytSUvOpQIeAJKlSBWdENGWQmUDGz3UTldrwLLJSwrj3cxGkvJgSwTKCN58TxQLSSZDmi2iDCgcdQ9LPIlh/YWKTxt27P1msXKgFJILKqUKBz4mMFaKMllmXO7tex2N9TtnkWRcRU0F3VNe3dHdreh6Dsc0NJh8GjgKZF0uuPXCmgZldJkivrZ8b0CWPMt8x/zPH5Nm59nzPiEMRPUGTN+DfCYS/pwnpy+raR/SgRPS/qn55rWmbrtp2H7aVtTcprMSYkwTklt2lbqN52uO9136mdNzvjdLpLJ6YjSRCRTqT8d693dQ0NU6nVdLiM5vbmJhLOuR5L7W78VDVp9Pw4EqOux5/TVy8D1dXwtfVn3GMhpQIuOLGupipLBCooCDnUDokBnOUJEYl/kgavLgJaev+u3YgzV4SBYrwPeapoOriqHUhKtBqS32N6TK7AuILRGG8uw7Xi6rlgaTSnAuRYpDVJrXJBkhcQdYlOwlJqVACuhlVA4SaUMudLowxa0wHUdRsACT45HYpHEPlIDbBiNUO74KIjKaQY8IxLZC6KCembexPuhdfzA6PnP+ozPA/O/WTNmfOZ4m2r6GMjpqeEp4V39pu8ip6dI5/k2M9RUhU37mpLT6bZTiT8pnCmnNKmoaVtp3WSEgpGcprL+4TASyWlZP4RIQOt6PIeUqbpcjmNI63okqMMQJ0Rl2ejWhzHsv66jcrrbje0FNzePh5xCoMgHylIQgkBrgfOSPBcEHIsF5FmgaeDJVWC5CDx9CmXuGfqA7T22cwiRURY5Wd6idIuSHU+e5CwXBTr0uEEggqOuO4SATEuE91SZQOPwQ0+Wxw+LbQaEPIb09w1du6PeH1hphZAamo7b/YFWxt4NdfywZsqwzi9YE534qSNU359pJKSpL1UQ+1Er4IpoljJ8yx7UpJ4+hh/sGTO+B8z/as2Y8RnjMZf0v49+03fhnBkKxpL6dF8JyQCVCGzqH4WxrD916k+3Mz1u7yMJTSpmKqenntNEOtP2Eyne7UYjVSr7T8lpKs8nwtv3kZymKKmiiNtJ++y7wO1NPJbDIS4T46QemqGMhuGtrOhjPjAfT07XVSDLNEJ4MhMQSmKtp7NxnKl3A4dDz7OnA4uFQkrDFy+iI22/h8t1wHvBYA1fPF9SLguMqimkpW88lbL0KsfLnjwP3NY1ue6RQ01Z5pQ6JgYYLbFekq8Udh+zuHoPrr7j9fVrbg+3NLsddVOzDQLZ7JFtzR/b7CiG/v6myW5P4Dhm9XjWqbe0YSSq6b0WuCQSV8/Ym/rRyLL7Y5gx43PATFBnzPgM8SmW9KdK5of0myZ8CMmdqp/T8P1TEpz6TROxTcunftJUOk/KadpuCvJP6yW1dBrCn8LxkwKbYp/SOU/JaVJojYk9p9vt2JO63Y5Zpj/6USSlbRtJbHLrty0MfeD166i4Nk1c//ZOICRAQElwHsridLTpgyv59pv4Bj6EnE6XDazKQFkJcmPougJlWnZ7AVIAJVoJ6nqPUg1VCUp6vvwip8grmkZjTIiZtEqQG4+UOsZUZYJCW7z1uDDgvKHKKoI3PL+qkGFLIXtyDd4PLHPFap0z1BbrPNoI/ACub+hsS+h7DvUOozSXOqPMDe3hDoMntz1ZmROCh+5wf/6pz9QTVdElsaTvj88FUUntjq/1x8eCSFY/OmIKxhL/Y/lBnzHjO2AmqDNmfGZ4zKopfH/9pm/LOf1Qcjolqcmpn45vOlp0mnGa9peeJ7KZyGxy61sby+ldN+acpqlQaZsprD8ZmJKb35j4mtYjOU1RU5tN3H5dR3K6WMTXF4sxY7Vp4tjSm5uolrbtcTxqLaIqbANSRHKq1S+bnIb7ZXIVkEqQaY9zGpOtcG4gLzyDNSwXBu97+q7hyy9LLtaB1TJQZHuc0xx2krIIx3sReP6FZLmWyFDjhhqhchZ6IARFYzvWFzmSFaWxmE6Dq6l0TWkMlXCEYNCVpTl0+O2BrMjoDnfUuz1dswWjubvdU/gBup4XRrNqLaHrCV2LUBLz9Aquv3owxjSdfcZIPKfk0xGJa8tY+u+P733UH+hETM9FScyY8QliJqgzZnxGeMzk9PvON33buZ7rHT2nnE7NUImcJlNUOq60raScTh3/U7KZFNZERPf7MRQ/ufanSmvXxe0mtTWR16lCm8r622183GzGSKnk1u/7GCnl/TgmtWvDfT5q3x8d/zcC76Hvw305v8jH8ztzJd91K09weiPeT07Bs1hGciolaCNQ2uB8hu0lyyVIEdhsai4vBVcXoJTgxz/yeGt5/XpLlXc4p+ltQVVInBcoHDI05KVH+oDOBIfGY4cDN3eWpR4ol4K8MBTk5CFQGktVKnabDmt3dNYi+56mbXHdjqbecZXn9E2DLgtaq1g2DblzyF1DJrkPyBebOwL+DRKaGioUDyl8IqGCSEq74/OOaLCa9rG+F0UxG6RmfFaYP80zZnwGeOwl/XPkdFrSn6qd8O3C9+FNcnraKzoN0z+NkZqOFU3kdJo/CuOQnqn5Km0jEdS3kdO07aSUTs1SqZyfSO9iEYloyipNZf1ETtfr+H2ej4R36ANtE7f58mXc5nYbyamUkbiWxXFf+kiKz17Pb0tOk2Z4bjvjcmUWyHNBVXjyHPpBkBnB/hCVPyEiOfUetFKsVx4hAz/6Eozu2dV7utagZSS3mei4vFyxXmuKAqRT9J1nWQ70reXQNvhwQHoBWIZe4KygXHtkAOEdLmh0GWh2nhJQqwXsd9wMLbJuoBAYKZF9h8bjlUC1LethIC9LEBKa+v6DMu3wTWrqVNM8vcI9UUGtGNsCUobqBxPU9EGf1dMZnwlmgjpjxieOx6yawrv7Tacu/ukUpo81Q8Hbyel0mXMZp+kY0munGadpG0k5TftI++u6kSROyWkK5p+eYyKnibwmcprn8bUsi+NJ6zrmnCZy2hyJ5xdfRHKa3Pr3ymkb7rNNf/7z47EcBLd3oFVguwM16aU15ocgp8frJMH5c+Q05ormWex/lRJ8GMeYauOwriUzA0ppdlvDkyvD1WWOVgeqImBdTTcInj5Zg8hw1qNMgzCOPNcU2mIyA62gcx2HrsUNO7RcEAZL52v6w55stWToK5bGUy4V7X5gGGrwAZVpfDeQBUvhBTJXrIRElmvWJqf+5mueBMellgjn6bqWPASKZ5fw89sH5f1zDQ/wJpW3jCaqgfiH2fGRbv48jzdWqcf1C2DGjG+JmaDOmPEJ41Mkp9PM0FMz1JScnp7Hx/Sbvm0y1NSZf86pn1TRaQB/Oubp/hM5PZ0OlSKj2mNfZ1Jlp9FTySyVgvkTOc3zWKU9HKKxaVrWPxyiW78sR3Ka3PqJnA4D/Oxn8f1DLbi5AUEkp4K4jrWxnG7tOXb6XcmpeCc5hUBhYs/ochGd80LFzNO69Vh3oMgbhBBcX3tWi5xlVWHMgj/224qisNxdO3KlGaxEqhohLSaziHAgE5IiC+AkV5dLLI79tifPcmxvse4O39e4esNCbljqLyiWBc5nZJWm2yma5o5gJDJIMt+g+p5LY3AuUGpBoQqe5jnZoca/vsFpwcY6BLB8+QsqBgxR+Tx3ZU+J6RR7xnzUlIP6UROllBq/Zsz4DPCoagFCiKUQ4j8QQvxcCNEKIf53IcQ//RHr/+NCiP9ZCLEVQhyEEP+XEOIv/JDHPGPGrwLvimh6DPiQfNMpOU2VyVNy+r5+0ym5PM0pnZqhpgrqaYxUiqFK30/XOWfSSqprXY9xUtPpUIm0JnKaVEvvjz2i3dirmmVxe2U5Kqe3t6Nrv+vi9pNbPxHaEKCpA10b7vtXv/nmGMDfCG5vY5k8DQkwZhx9OgzhjHr63ckpjOQ0Xu+H5FQRWK0Fy+XxHwskWQa7g6Ttok1IygqlK7SqWCwalquBF88UF6sSo1YQVmgDgT2231GWNVpuUapDSIcIHuktRiuUrLi8vKBpLbe3L6HbszCGJ+sFRilcOCC0x3UW37cMdmCwAzfbLZtXP+Xly2sqEXi6KFk4QSUEy6ajKg2+b6mCJ7MWq3NuhGcvYiD/gaiCpquSlNTTEv+7XPrfepLUXN6f8RnhsSmo/w3wDwB/Bfh/gT8H/A0hhAwh/OfvWlEI8VeAfwv4T4B/h/g74u/hzX9mZ8z4pPGp9pueUzthJKfTSU3T96fbmo4t/RAz1LTfNBHFqco6bQOY9pym40r7S8R6GLgfWSrEmzFSibwmspq2m1TVFC2VyuzORZNTUURSensbVdO7u3ECVFJOU5IAQNuEe3JubSzr395C10dy6mwM5k+pAInYtm849j/2Q/N2ciqEmNyLh+S0NIHFUpBnAaNDNDQpsF5iMoF1ljwDrQXbTeDyEp4/E5TFwIvnOQHBfh9YrzP2jaRvbiirCqEkVXVBJnuKrEE6TV5APyj6piNIixsOBH9LPVikN/zmsxIzSNww4INFZjl93xFsz7PVBcMwoHDYrqMIDiUqllUgiAo2XzE0B2Tw+CDpvWcIjkVRYPY7lkBNzD01nCenb8OS+Ad5YAzr/6i7kz4cM0md8Zng0RBUIcSfBv4U8OdCCH/j+PLvCyF+G/j3hBD/ZQjh7AQ4IcTfTySn/2oI4d+dvPU//qAHPWPGLxmPWTWF9+ebvs0MNVU5p++fw7mxpdPtpcdEVk+d+qcxUknNTQH80+lQiVhPldZE/KbKaSKeU+I7zVJNPanOPcxTrapIHFMI/3YbCeowxO3/xm+M4ftHozj73UhOuy4qp6+vBX1/zF+1ga6L6yRRbbWK2314Wb8/cmqMuD9nKZJCG8mpJlCUAoknz+IEq7wQZLlgX8f11iuFtYH9zlOVsKxi4NIXzyVagx0CdghoqdEyx1yseXqVsVoJCq0oTEvfDVSlQihF6ANS9Rz2PReLp+Q0+GFPlQU0gryUZLkGLzEMHAZL8JAtc8pujzKaDo+uMjjUMPQIIdCZwG89/hevkLnBe00YArLZo0N7X8J3jOV8yfuvtCY6/MvjVyD2o37UH+gsG8edziR1xmeAx/Qp/ieIbTj/1cnrfx34MfAPvmPdf4mYzPEf/TCHNmPGrxaPvaQPH0dOT8P3P+Q8zpmhEnmcLpMU09MYqWlLQCJ80/in0wD+9Dd+us5+P5b1E+GcZpxOVdppvup+PxLXRE7LMnKKpJimx75/2HOazkvJwH4X7on3fg9ffw2vXkdyOvQhlv27mG1qTNz+cnnMZn3w7/13JadjkXq1EvfK8UNyGh+zXLBeesoSTCZYrgQmExyaeIG1CoSQYXQO4cCiOrBY1KwWGZeXWSTlW8/FOmByiRA5eVagREWeVWRGkhtHdoyr6tpA3wUIFuUtV6ucJ8s1iyxH+gPbwxYfAsuyoqxynMrItECIwNA60AZ/vKlCaDySUJS4X7xGdg0ljiIzNF1PpzRdkZMDGncfpKUeXKGHV+0cDDGgvz5+NYyB/R+MonizJ2XGjE8Yj0ZBBX4X+NshhFPj4t+avP+/vGXdfwj428CfEUL8VeDvBr4G/jPgXw8h9O/asRDiBfD85OXf+YhjnzHjB8OnWNKHd5uhzoXvT7d3ig8dWzpd/tSpf0pO07rTcaeJnJ5OtUojS1MQfyKnSTmd9psmhRZGJTQtk/pHp+Q0qad3d5HcpiipshxJs9GBw2G8rq9fx6+b20hO7RC4vo77abs4HUoqgZRxvbp5cDXfdTvP4Bw5jcgyQV3H51qF47jUtLxnVQnK3KM15IWg7QRKQ9PGiVbBB7IclFRs7hYsF5onTyxlIfnNH2u01mxuPcZA2wly41hUGcuLktzUSOcQyuF7TXFhIpl0jqKUHHaK4D0ZgTyvWOuBbrCsM836co3wntAdCHmB9oKiKuh/8RIrO9xmw/qypNs2DH2LVIbcCFTTIl5fU6oc41uMUiyDI3TDvRP/dBJUuuLvsqVpYok/YyzxZ3zYH+iXwCshxuiHP/xDfvLVVx+w5owZjxuPiaA+Bf6/M6/fTN5/G36DSDD/Q+CvAv838A8Te1l/C/hn3rPvvwj8tY852Bkzfhl47Krpt+k3fVu+6bsmQ00zSt/l1D9VbKetAIk0JnI6XRZGZfO0NSCR00Qe0xjTlH06XW56nCm3NMVQpV7Q5TIe92YTVdDNJn6l6VM/+lEksglGh/vpVCFEIvvqtbgfjdp3cWpU6nVdVMf2BTmqqZOr+SG3dYK3k1MQD8bBnpLTwojo1hdHZbMXLBax71SquG7Klt/voMgVV1cVmQn8xo96lO6p65qhl5RVjtYaIRXrlWJRCTIJRdZRFRJloSJ/qWwAACAASURBVCgNbS/oekcmGlxfk8uOuhkoJSxyTyGXCGmxtgUheV33mOZAjgBhWC4K/K4h+IG72tE3PaWWyOtXSOXoDzVZ3ZB7R7FcsLAOud8xOIslEsucqKC+DafKasK0zP8xd+n3gH8jBPj9349fM2Z8JnhMBBXO/5P5Ie9JYiLHnw0h/BfH135fCLEA/pIQ4q+FEP7gHev/Hm+2FvwO8N+974BnzPih8KmSU3g/OT3tNz0lp9O+1HPkNPWPTs1Q6XGqYqZ+1Wk/6dQMNd1WWmZKYNNse2sflvWTIWqqsE6/puR0aohaLuPzu7txdOm05zSRU61jL2mejft3LhLYl68E+z3stoHgo2iWzjfPx3PxfiSnWRaV1o+8wyfPH5LT6XQtowP9fTRAINeC9SogRaBaxKzTLAehJMFHcpqZGDUlRSD4wPoK1qtAmfcsFnuGoaFtwBQBHyzOVixWGUYHykKxqipKbZDekpWx9cENPU60XL/ckiuHNh45OHIV4tGLji70uDqQMeCFpj3UPL24INvfkhmH324ZMsnudkuOxAdBNjja3S2FHD+UQUpEnmFcgb77+gHxnDZBnCqp78PH/oj/ReCfKgr4k38S/sSfgN/9Xf6nP/gD/uW//Jc/ckszZjwuPCaCes15lfTJ8fHmzHvTdb8E/vuT1/8m8JeAvw94K0ENIbwkVkruIR4TE5jxa4XHXtKH7xa+f84MdXrOp079qRlqSminTv2pijklmOec+tMyfpzlPqqw077VZIJKhqjUc5rIacJURU25pamsn7a/Wo3ktK4flvUTOTXmSJBtIM/jcs2xPN80cSrUfh+zT62NE6NCGEeeJlV5msUKIznNsofK8nm83QyVnq/Xo4KcmUDbhQfLGx2oymiOSkH8HontxbGfdkDrHikGbq4Vq6Xh2VPFahn48ose61q69jihKQS67sDlpeHiMme98AjfEXxL27TIAEiDHSy3t1uUash1ybpSyN7j6VnmjrYZsMHTDDtk0Nz0NSp4llmBCLCoSnY3X6O6mmqZMeicAmjrPXkmUY3D/+ynBFMiVGxg1rYlHGoE4Y1IqWmMVDh5/BB86HIvgBdZBk+ewG//NvzxP84ffPx/IzNmPDo8JoL6fwB/VgihT/pQ/97j4//5jnX/FpGgniL9jJ/5czpjxuPDp6iawkP1crrM+8L3z+FtZqhz2zxVWVMZHB7GSAkRSdxpv+q053Tq1J/2lu523BO8pIhOiXXah7UjOU0To5LKuFzG55tNJJ03N/F52v6XX45DgAiBLBt7XQF2+xi8f3MTS/ptG8kpxGMryjF8Px13NEWNF/xUjT6P95PTZLoCyLPA4fCQnF4uA+t1NESlUr7JJYONRDX4Aa33ZKbh5hryzLNc5OArnj1RKGUZ+kjlchOnT1kpUSbKwr5vkWzxqsF2DmUs3d7jOoH3LbvtgcvKo4JCCY/MAnVXR/XUteybmqtlhWst0oHLPG6zwSxz/G4LRiGDxCEQWsLdlpB5AgIpNTI4BIGQZajdhnDYP7hKv5If1xQuO4f0z/iM8Jjsfv8tsU/8z5y8/s8BPwf+13es+18fH/+xk9f/NJGc/m/fxwHOmPFD4lMkp6kkPlUep0TyXU79d5mhTjNOp2rltI3g1KmfXk/Ho/WopJ5OgJyOLoVxO2kEad/H2Keui+8nk9T0/KZK7X4fv1LE01Q51TpuK02JuruL29rvIznNstgzGnwkp10XSaAQsN0JXr+O69khUNfRvZ+GBlRVvFDDMBLiaIoSD841yx4ONjhzh888f0hO09Qr72Npvu/CccmABBZF5EpSRPe+cyC1pCijchp8QMoe5xq6tkRQslxWLKqGsuxZXwgEivoQKPJjnBYWqWu03JNnB4Rs0KohlxmLqkQKzeZui8xyqqIiVwYVdgxthwwDZeEQQjHYgcooSl1hraDe7+n9gFESYwTYDuUcpQmI1rLAUtd7OgWu3lPcXGOqZfxgaI3wjqANwQ0Prpg/c+XS99OS/7Qd4Dsj9YXA7OSf8dng0SioIYS/KYT4H4D/WAixJpbk/yzwjwL/bMpAFUL8p0TS+jshhD86rv7XgX8e+D0hxDOiSeofAf5F4Pcmy82Y8SjxqZLTDwnfP3ce38YMlZZJOJdxmohtUjWnxqjpftL20/O+j89TGb9tR6Kack5Tu8BU4ZVyXDb1nE6jqlaruMxuF8loIqdCRML64kUkjkbHHso8j9tICuz+EIP3d9tA30XV9fo6brPr4vKp7WC9jgT4UMOUHuX5mJn6dryfnKZ7kMipFIFmYowyGi4vApkJ5GXML10sBYMTbDaxFcAK0NqSZYLrl/H6XF5aiqLh+Qt7zDsVSFXQdA34geBrylIgpaA57Kk5cFEIMnHJ8iKn2XhCkGB7cIoqV1jX0TQDVSXJdUZRDNQ6Y3ADZSnBei5WCypT4fctotA0u5r1coEWjsZ3iKxAv7pmmSsue83aDggbEBdrwmAxYSDUDZJ4YSWRnE5J6C+NJmbZGJQ7Y8ZngkdDUI/4J4mB+/8msff0/+Gh8Qmi0THFzAEQQhiEEH8K+LeBf+247t8huvj//V/Ooc+Y8fH41PtNP4acfhun/tvMUFND0rRPdRojNd3PNN5qelyJ3AoxGqBSaT0R0pRxOl0v7bPvx+VPWwhWq5GI7nbjpCgpI9GcktMQuFdO+z6ODN3ujiaqu1jSb5q4jSyLxNWYcN9W8eRJJK5t9/CDk8hpIvDn8WHkdLmM20lkOqq047qr5bHvtIrkdLAC62UUHFUcybpaQZ4pfvGNpygDi4VFsWG13KL1BXbY0PUlq1VJcILNoSHTPUW+wugBrTq67o7r64bhomGgot43OBqCX2BUxmqZs99pMuEpSwEOTLmgcuA6ixHQh5asMizzjEVVsXId5tBweVXSbVqMsjgBan3J8nBLIY8acXeIrDPLCZ2lbRssMRLqNBZq2vjwIf2nH9Of+gayLH7B4/rlMWPGd8CjIqghhD3wrxy/3rbMnwf+/JnXb4B/4fg1Y8ajx6eomsJI8qY9p3C+N3S6renjFFMz1HS/58xQ02zVKTlORHXacnDqyFfqoUkKxv2m8n1dRxUyKbepXD8l4VOVtmnGEaZT8Wq1issm5XSzieRSiPjaixexfzO1ARgT9zUMkZzudvE47m7D/T5ev45V3LuNwOjxQl5cxG1Oyen03K21QE9M6dQ8pFLvJ6fpfIYhthgsl5E0T9d9fhVYLgJKx1J+0wrKhbzvzVUSFgvwLnDYGwg5i/LAsmow+YYnT64o84rtVhFCTduACxal9ghRo1RDcxhYPb3AITgMltvbn3Cz0SAWrDJJvd+g8xalBjIlWSqHFAHrD7gevB3IMihCRl4qjJEsWs9ae/KhR60XKBmQKsOUEl6+xCuB8z3DT79CZTliuQRnoTuwazvaukEQg/VLYME44vSXitTDIeVY6p8x4xPH/EmeMeNXgE+RnE7J5w9lhpo+pvenqudUOU3l+zQ+NCm30xipRE4TWUtqbCKg0wD+VKafjhGdHt9URU0O/+Ton7YQLJfH8vw+lvOTeppee/bsITnNsiPJtQLrjkaqQ+DmOhLglL+e51GBVTLck/WqOu5n8/CCp95b5yxxQF/LqOMVxHb/aTn47eT04uJoDhsCFxdw2Afc8SZpActFVE6FjKYoIeO0KKnisUkx3tjlIvDVTxWXFwuePdVk2cAXX16Q6QVDJ5FCoIzA2gPWHsh0QEtP33VoaoYWCJZnL57SNBtEqFhUOdplBO8pc0EuNIGep0+WuL5nwNK2W4wFLTKEdVysL1lmGp215P0Of9MgS81w6HHe0rYH6rah6LZsup6lkZR2wGgF6zXDz39CO1gW1PdX7EAkp+atV/LDjVQf9avAmPhBKoo3g4ZnzPiEMRPUGTN+yfiUyem5kv7Uk/Ex/aaJJE6XmS57LsR/WtY/jZGSciSL6VhP1depOpumQk2V0LS9FNGUplBN17F27BNtmlGwCiH2gYYwji3d7yM5haiIvnge7nmE95FTxDGkAu/jsm0Tp0Kl3NXb2xh0v9kcSeHEfLXfw+2duH/d2khkE+l1rieS04qRoNZEGlWlO5Su+PQOAVH17LpY1ifE+KvmGCmV60iWL9aBshIoLagWcYxp1wvaNpJToaEsYm/qzU0k8KulYlGVfPHlEzJ9h9aSfSspSk8/QD/0KD1wcbGmzBV9f0Nbb9nXHev1Fyip0SLHlE/JdY8MijIXlMagbYfM4mmpzNN1A4U2LNclhcxp5YEyE4RtgwwtYb9HFQZtoDsEbHA0uz1VnpHXDnl7TZ0XqEONMQWhaQmFRlzv3ug3dSfffy8GqPchqaan/yXOmPGJYyaoM2b8kvAp9Jv+ssxQ57Y1nQQ17XGd9pxOx5Wm56m0nnpJ0/bhzYzTdH5pKtQpOU3kE8ae0mkbQ5oKlQxRWo/LrFbck8zb2zGIH+Lz589itmm6XmUZ9z1YgbWxnD8MMT5qSk6zXLDdhPt1nIOrK9hsBdfHdOiiiOdgTDymNEgglvXPecdTT8V5cpruq9bjRKqyCNxuxhsqRWC1DOSFoCijemqdABvJdt/F881MQKvYquBd4OIycHUZ1dirC41zOTe3DUIIus6jdMXFhSP4PctKkquMTC6RoUKpHG0EUjqCKSmUp289pVIY7ckV5BIwEoFnsA4hPcFJJBJpezye7X5Pbi3KN4T9nmJR4PsBLxTODtB2ZMohlES5AWE9tizBGAwW13SEvsczEtHAmz2o7+s//V4IrDHxA/CxJYwZMx45ZoI6Y8YvAZ+iagpvmqGmy3yfTv1ERKf7TPs4FyOVHtOy0zD+hEROlXoYpJ/yStOUqBQpZW18TOQ37TuddzJLpfD8LBs5wXI5xka9fh23n9z6+12IPaf5qAQXBXS9oD+mA9zdxuD9b74ZyendXSSk19eRIC4Wcd2qGnNRIb5+OIxJQ9PkA+c0I1WC6DNPVOrtyqkxUQ22Q8ATyExMEri/LwTWq8D6IgbxKy0YbFRPyzL2qGodSax3AWkCTR2NVE8uPWUJX3wZI6WGYUWe5Rg9EDBok5MZGOwOwgGlPLkWLLIvWK0vQQS6riOnp2vvEE7iaek7hRWSIrMMbcdOdHgsQ1/z/OlTNJI+DPRDzbDvUAq2u1tKIVhkgeG6x2SKrreEEKCpkZs7XF4QDrcYpcAYxOY1ph8ofU3DSFBzYnfvuR/rH/RHPctGBRVmFXXGZ4OZoM6Y8QPjUyWn39YM9W2c+tMyfNr3VDFNrQBT9TQpp+m9tA8YpymdOv5TAP8wPCSnSXE8R07TaFNrozrq3OhHkTKSzaSqvno1klOI5PT5c+6V01TW73pxr8butpGc/uxncRt1HQloUQRevRrVWSkjcWxacZ+jWhSRnKaM19QfOw4TyIg9pwce9qCes/KI+3u3XEa1s+8Cq1U8xnSZFYGri8DFpcCHqLYiYnnf+0i2U+JRnkORw+tXUUldLWOLw/MXAi09UoB3irIoQVQ4L1iUnjwvMfKCod8ihUUrSVF9wYsXV7jeUfeewWxp9zWBDavKI/qB+nCHtR3KCaplhvABoXJs2+Kk4tBb/OC4yApWssdbx5Armn2NLgp812IODYvC0A2O/vo1XiiK1Zo8RHlcGYnwjiWBnFjWV8crnfpP5YOrGvXq4fhoOO/4/06/EvJ8/ODPmPGZYCaoM2b8gPgUyemHmqHedh5va2U4Z4Z6m1N/qnhOj+FUbU3k9JQwT01Vab+pfD8t0SfCmsr1pyNVU09qagNI4f+p/J1MWXU9Kqe3tyAIsaz/fPSuhBAnPqX+Ve8C2008hp//fJxAdagFSsZ+TWujQipl7EPt+rjcMESy2rYgpSXPe4SwNI3GuSn90YzecsubVOr+rt8/e/o09pr2XaCqoop6OPbkFjpgdGC5EmR5jJ8qFxKp4jhV78L9/SuLwKIKbDdRRV1dRNV1tYLLtUeKEGOzcnF/f8qFQKtAmUlyc0G2NOSqIytzMmOQSKwymFCj84yhOUAQyMEgZIcNPS9fvebHP3pGVmQs9AJLj3aSTAik6eiamsoExOGAKnLQlr6xGDUgbU9eGIrNhr6ziMs1crsnCwH17Dnm65/gux7u7tDHq/smzX/4PNnUuuP3Dedtat8aWkdiOofzz/jMMBPUGTN+AHyO/abfpxnqdH9TkjpVSafKaTJGTQnkaaRUep7OYRrgn8jpdBRpIqmpDWA6GSqlAzTNuJwxo5KZzFiHA/emps0mlrX3+xglVZbjtcoLcR/q7124V0G//jq2BrTtMeifuP4wjCNSrRP3Cm7TjGX9SE73KNXSNALnkkK6ZCzja95X0od4PhfrwNDHvlOtY37p7W1aMvaSPnsee06NiSNMA/HYtArsm3htFlXA2cDQB7o2KqdPn8bg/h//yONsoHOCwKj+aiMoM0duAsvCYhRcLHPwBqFVnEzlBfWmAbehrltcv0GLms5JtO9YLSQiLDBKY7uGQSqUD+QSFss1w/4WKxXK9/i6RV5U+EOLMGWcDLXdEbKcosjJ/85LyHNCuUAqQbi7AyljOL+Ps15PjVDp+2nfabKpLSZXuyb+m1C++SPz8UqqEGPz8fSHdMaMTxzzJ3nGjO8ZbyNqnxo5nS4zHVLzfZDT0yipqeJ5Sk5TiX0aF5WO6Rw5hYfK6bSsv9tFgpd6SeHhyNPUhpD2mdoAuu5hzGS6Fvt9JKe7HWw3x+lKTSSnVXU8HhHVxraNDn1CJKchxLL+djsapbyP26rrh+RUHSObmiaW+w+HeDxl2WNMS9tWCFERnfktkRZNb8q7yKlFqRqjN4RQo2Rk9ZkJvHwF3XFaVK4Cq7WgrGIrQFFJ+kGgNRR5HCZQFJHc2iGS0lcv4+jWp09jFfrFs3iDpXK0bY0Id7R9S9s5tOrxNChxh3U1Qli89QQZyakMDmcDxnT0fcsiy7gsS7Qw9M0dJvM4rxDKY4xGKomgJ1iHMhmZtKjBUxlJu9vQ4rH9gUwocjzCWbwy5PtrRFMjqwJhB0SRE6oF0tuYSuAdAn9WOT1Xqj9nUxPEkv/3gtRr8th+ycyY8R0xK6gzZnyP+BRL+vBhZqjpcqfbPLe9UxX2bWaoKTlN+56W5dM6Sj0MxJ8SVWtHg1B6T4hR+UwqaFJRk1P/NNs0rTcMYyl9GN4kpymK6vY2qqb7Xdxx245l/RBA6Ujg7skpcHMT9/Gzn8V1Byvou2iESkrqYgFSxVn2qZS/20Xj0nY7thcoZWnbOAY0ntOU/iR97t3k1Jg9goZqEW+C9wVSLKhrjQc0AUHg+YuYb6o15KXEOsFyCV0bRuV5iGX9qgz84hdHNbX0FIXgcu1ZrwLOO16/viOELdaD95L1qmDoFZnswAe8swivkGaN0oJgHb3QuG7A9j1+CKjMkmlJGBSDEvT9HdXlFTpfYvuWTsR+2YusQJsM1w0oIbkIDovAX11S2gYvDcb2sNsh8wx3cHQ//xnkiuA8uR0wRqP8QDjU97lhb3PgT1VVwcORCGkc6qnj/ztB68j+jYlf8Lh+6cyY8S0xE9QZM74nfIrk9LRk/jYz1Lu2eQ7nzFDwJjk9JcbJlDQ9liQOTQP4T5XTaf9oUkCTM386utTaUY1NJiiIywoRyWfbRnKayGyWxeNI5DTlp97cRLf6fj9u4/nzSC4HK1A6rtM24T5X9eYmHvNPfhLD9Ych4Fy4H5maVMi8EDRNfJ6C+heLkZwmPmKtRutAXSftzsGRVh6vfrrTx8epXUdTFJbgGy4uKrwDGwKL6sB+b6i72BZgdFROEzkVSmKyWOLvu3B/vwSBsgzx9T5+v6g8z57BxWWM2bJOsN/XNM0NWSbQWuGd5XD4CrzicnWJkoJFruiDo24HrtaKIDXuMJBJSx8UWljyXGKCQltFmZU4b8hMTqYCwVryXFDJiqoqKVXA1j1KBnI/kBUlmREEMoZ6IAwWLzTy7jWHw47BdoQuELTGCag2GzIJoe8Rze6ebJ4r759e8WRTqyfLFMfXOVn2W0Gp2EuSeiVmzPhMMBPUGTO+B3zq5PT7NENNXfVTc9O0zzTtI+07kcXp1yk5na4DY2k+kdS079RvmsxLKVJqquhOZ9OncP/UCpCUU+dimX4YRqMTxPdvb6Nb/XAYt/v8eVzeOnFPZutDuM9Tff16JKfbncDZeCJpWlRdx/WLUlDXIzm9vR3d+omHVFUi4FP6Aw/pz2nB2RLd/HGqVFUF7NCxXKoYvdXA5UVMGNgfLPpITk0mWF9Et77JZcw8najWTRP7bvMsno+SgZvbQFV4rq6grARfPPcIGQ1QTbvDsWXwK5TVLErB9u41IVP4PsMFS9cZdGaQ2qOMpO/8sbzuUV5QZIah22O7gaKCL9eX5EWB0BJhG6TKyEUg1zJ+trqa4Dx6qAldj1wtUK6mdgolevz+gMw0znX0d7csqwpft6A19XJB0b26v0nnfhzEyeP0ymtiR3BG/PchDZtVZ5b9Vkj/WU1L/TNmfAaYCeqMGd8Bn4MZKpHE6XsfW9JPeJcZaurUT0pkIqenqimMx5DMUVOkcv40lD+NJ03KaTIkJcNTyjidTodKx3YaPZUMSqnnM5HgzQZub6JxqGnGY37yJBqAUqlbKWjqcE9+r6/jMf/kp4LdLpqHpoatuo7rJ1K6WBynRN1GtTSpqVU1tkC0LQihaZolo0tfH58r3qQ9A2mqlBCCpvY8fVrjvQWWRxLu2e8CWiqkCBSl4PIqZpsWlbw3ei2XUSHd7aAqY8+pUnHs6dc/j2aq5RJWa8GTq1j2d16w3zuUOjD0O0LIkVlL21m07inMBctlwSIbaIYW4aFQAYfCdh0qOIY+UGhYLQ2HnSZUllwPWJYsTEalA14tyaTFNgNOSAwDruuR3qIOW3wA39ZsrKWvG5R1GO/Jt3f0Q4/YbfF5QShKnLO0r19z17fIriff3CEZHqik6Xk4XvVTBTWV+U8d/+/4MfpwpHm3xowfvBkzPhPMBHXGjG+JT0E1nT4mnDNDJbzPa/FdzFCnTv0pOYWHx5P2f5pxOl3/NIB/GB4qp1OzU2oPiKRu3N+UnCa1tW0jKW2aSMRiKT2W8+/uImmcpgB88QUsV2LsiRUxlD4pp9fX8Vh/8lPB5i7cB/7v99z3nZaVoKri88Ui9pteX0dy2nVROV2tpsQ07j+2Dig+ZGxpsutoLZAiUFUCOxikdDh7IMsEt7eB3uYEDItc8PSZiO0EuUQc+1zXa+57Zp0NNEPg6iqaqjZ30b2/WgSungguVp6ry9jy0LbQ9z0BRVleQHBkRtC3L1kWiuXqAtyexkp621OVCpkLrr/5BpxFSYG2kBeStgFsjzaWPBN4GrrBkasMrTVuAF1onND4uw2+t+S2jv+YLEv6+pZd6xBdC01NhiQfGsxhz3B1id1uaZxju6rY37zmy0Kw7TpK196roafl/PPZCOdfexs5/ehfH8m9Pw3Chcf1i2jGjG+JmaDOmPEt8CmQ0+9ihnrbNs9t7xw5PTe29H0xUtOyfnr/dBvpMZHTtF7qNU3u/KSYJsIqZXw/EfN0rtOJUslQtVjEx9Uq/v33Pqqm220kjalfte/hxReC5Wqi8oZAfyTKSo09p199FV3+XRfPbbuNyzStoFpEAno4wMVFDPm/uRn3neeRFKZzStdw6E9vyLvIKYBGyoDRHqUESjqEVAS3pCw1+73l0CpyaZA64/IqKqDOxwlRqe+1qUO8Vz6gZMxKdTYwhEDbBC7WgedfSIrM8eJ5QKno+hcEdOYZXEmmFSbbIvxAXhUUmeLJYs1iLQm+Q2uPMDl3r2/Z3B3www41SFbLkspkhM4iM89lleFRGCOw/Z7OaDLpcNbhtMKEBucDEo+qdwQErq+p+4HMSjKtsDbQ7O+wciDfbOhzxUup2A0Dh5vXXAmH3HVk+x0dmhz3Rv/otLT/nUv2H4OimDrmjgf0iH4RzZjxHTAT1BkzPhKfIjn9EDPUx5JTePtkqLcRy2l01Djt6P0xUunY0/NpW0DqOfV+7B9NqmiaT59IaiKnSVVNyyRSWxTx9fX6eCw23MdIffPNeJ5dF6chXVwce1hFuCfVKfT/5ia6+P/oD2MpPJHTzTGcv+uPpfMiHkMip8e4TYw5Bt6Xb0Z/NXU4UeHeR04BMoxWKHVNkVsQCvyCxaJiu9XYIZBJyIqo5j55KghEcppaHPsuxkbtdzFSKysE3nnKIkZKFUVcb1E4nj4J6Czagpo6UFSSYacIaFbLDCUzyrzFkLEoNOUiXkOhchaZxvtoqioykPoKK3bkEppDg5aOhXBgluQ6oMLAIAWubQiyQucKbz2+6QjWkfUHRJ4h84z+7iVBGox2hMYhi5zscIM9HFg9fYJ6+RJjDOtlRfn6mquqZGgaXNcCHQMjCZ2W90+nR03ffxe+068OraOLD8Y+1Mf0y2jGjO+AmaDOmPER+BzI6WnZ/GOc+lPyOSW502XOkdNEitM6yaQ0VUpTX+ppCf6UnKZ1puQ0lfVTmT+RVK1HE1TaRlq360bnvBBROe06uLw8KqRdJJbbbSSn98TWCV58ERXWrosB9dNjMeaonKpITlN0VAixhO9DnAiV56PZadpzCvH7dFyJqKYe2vPk9PQGvnlDL9ZR+SyLQAgB23uqRYy42u8i8TSZIMuOo0hN/Lq4iNdJyYDOLdevO/LcIqVGoqkWilcvY7D/eg3rpefJVVRRhz6w3Vmgx3qH0oIyExjdY3RgkUtWy2csM4nKBEMILAsI2nO4qwnDMQ/MerQCYyzKeYx0x/GxMQKL3OCagdyo+PnwAhMGnPPIrkHVO7xUaDcgpcYedgQ81A2u6xHOkr1+hXqyRiwWLIeBIDVNaci3G1zb0jt/b3A6vdLnCOmHKKnfWW3N8/iDk+bKzj2oMz4jzAR1xowPwKduhpoSxNP3PkY5PdcbekpS3+XUh9GRPyW4qWSf1pnGSE23/Hl8tAAAIABJREFUd0py+z5+JXI6/dJ6LIlPCW16f7+P76c2vtRfqWQM2z8copr59dfHc/YCRAydX61i/mcijyGMhPjV6ziqNJHTZKba7WIvZiKxZTlmrDYNvHoV95NaDNJzIcZWhK6dktNzqum57wOXFxB8R1kMBP+EYRAsl4HgD+z3PUpptInRUZdXkZhmeSzr73ZxMlTfW+rDDu9bul6wKB1FntO0S7xXLJdwsYpZp0+fCYIPWGsZ7J4QOvwgCdZycZVhyFlXjrKqWBrP+mkZ/0EZHPlCs3l9Tb3fMfQN9faWMstYlB7bKHyhKZWjGxSYA4UMEBSFFGQi/sPg2h7ftQxNi+z3DN6iioyl7zB5SZW31JsNIQjMsKfsOtTFms3tnr2UdEXBoq4pQ2DrHP1+h3I9KyJBTWT0tLx/7uq/7bXvBfr4JzyV+OcpUjM+I8wEdcaM9+BTUE2njwnvMkMl8vexEVLwbjMUvOnUnyqe077RBKUi+UqxUUnpTKR1Oukpkd1pCT/1j6bXnRvD+6e9qskwNY2SSuR0GGC1DEgRyW5STn/xi+PffBEnPV1eRqd610Zima5F28Z9vXodo5T+6I9GE9R9Wf84LUrKsZUgy+KxvHoVzzkpqt4fw/qPvbOEMUv1eCXSnZze8XN3kidXUXW9uLDHtoXYWpDngpe/EHSdRchYxn/+Ik6KynJxn/+6XkXCPvQdw9AiZcWiCIjgadqarjUslxXrtaXIG4rS0fUaT45zPVq3IJe43pMvc3y75eLpgidPlmjfs7xQeBfwDsqFxjYNbdsxdAd2u1fs9xvqMNDlJXWR8cTlZD++BAHKxSlRuSkoNUhlcFKiM0ffeJp6C3fXsFgit7cEJTHestQKHcD7gVIr9PaWTisao/HeYjPB7XbgwvWYbmAhBGs8C8Z4qISUKmuP7+XEHIW34Xtx7ydMJ0ikUaczZnwmmAnqjBnvwKdATt+mcsL3Z4ZK+NCxpVMzVOo1nRLFafk/kbYpOZ069ZOampz61kYSl2bXp0D9lHUqxDhxahr8n/pDE6E1ZhSdlosYk5TI6d1dzC0VUtwf45MnR3Lajepn2qaQglevAsYEfvpT7ntOATZbgXWjkSrP4/GsVpEEv3oVv0/bDCES1UScvQvsDw/uEB9S0ofAahmzWFcrAMUwxJK41oKbG0fXBUxmYnn+QrBax/9qku+mLCIxNjpw2FuUFlR5wPvAohJ8/XMoCstyaanKLeWypawEfR9omgIhAj5INJ4sF1RmwGtQssdgyBeKgEAoiZIBKaHue2w/sKhW2Lpl9XRJpveExmNyy7OnK6pihTGe3nYUZckqixdLCoftBkJT0zUNfnfNsigQmUGjOCAQ3pPZQJ4vyF2P2nU01ZJ+e01erCnLNeXmhtp1mMHxpGspnEMfx5tOfzwcMVm2P37viXkKSz7+j+u3cvBDJKlF8WElkRkzPiHMBHXGjLfgUyWn7+s3/b7I6buc+mn/KYM0LX9qgJqS1bSdaVl/uu5UJU15pafToeChcjr9SqppyhQVIgXMx/V2u/h1cxNJpT7+/e97eHIV3epNcwzjP+6zHwRCxgiqLIsh/JtNXAfStKiRhJdlfO/qKpLgb76Jx3ZxMZ5z4h3eR+d7XTPBx5FT72IeaWYC1mZoFUP993vYbgNZVgIZq7Xg4krifOQ7eR6vzTBAkcfc1+VS46yD4FktBTfXDq0Dq5VmvWxZX7S8eL6AAEIE+qGlyBU4DzKwzKO7fpEP5MpgDORZIAhH1zRYA7737O4OmEzQby1VVbKuMvpNQF4IjD+Q5XGSlQ4OKwJ904GKkrt1AWMbnJD4wx6lBKFaolyHyDKGl1tyDcIFtO2QeOTmlhAcoVoiPKhlAXeSMi8p93tWeIK1RBuUe1DeH4AOWEzuTkNsA3iXivquO/fBSB+WLBuV1Pc1lM+Y8QlhJqgzZpzBTE5HnDNDnZLT6fNTp35aL5X1pzmop39Pp4ao9H4iockolKY3JVPSdH+pJSCpplPFNamuZRkPSMlIxCCW4+s6ksbbu9h7mQh0IqcpQP++j9UKBIHNXVz2q6/G+KiAYLN9aNaqqrj/y8tIYr/5hvu2gXQ9suyonPYBISJZ9gE+vN80LlsWsZc2zyIJjC2KmqpcsN9pmtpRVQYhMooq4/kX4j7rfbWK41kTSU2pAkOnWS5ysqzm7hbaLrBaFVxdGqrqwMVaIAVIBS4oysD/z957LDmWbWl63xZHQ7iIyHvz0ihmnPSkHoFmtH4QcsA5Rxz1oJ6FD0HrZ6Cx521G46QqVYS7Qx21JQcbGzjh6amzbmXGxTKLABxinwMciA9rrf9fOK+IQYI/MY2RTWdZr2saralqgXGBeTogS4cyjv3J4bxPGVAbcOOOUJRQRBoREI3CU4BNmVhCYNWVCJVgTZwGovPE0dCYnlFEhJ2QMuCERmpBDJ6TcYjxRN3vKKua8vjMUFSItmH+8Ix3I+Npj3YeM1u0s0ihidF/8ozbxRFY9qS6nzhCv0tkKF3aS93K/Lf4jOIGqLe4xav4R4LT5X2W6/+YUv8tG6kcr43zX6vulxOk3toefDq6NMNp7jnt+yuo5uuWULzsuc3wmsF0HBNgBh8vvachJKg0Bp6excV/NMZ0u806mfXnMaTeZ6FTUsIfj+myf/mXBLnWJpV+XnMcrxVYa1PmdBgSnFqb4DTvexZhO5uA8sfh9G0wBejaVJoXIpXmtU7bfPcYOR4Uh2OHVKnHNCB5eEz9p0WR9uF0jNzdQX+KVyuwEFh1CiFWWFPgnGO70TzcF9xtFff3Gl0kAdc4S7Ty+CgoVEldK8pCIpnZbFtWRaTdNggJ0Qw4HGs0LmiU9Ezjtxg74qcjSox88+GZTVdz362oug5deqwUBGvAeIboCZVHuUCDwxuH6E9UdYUVNdPc4wWM3z5TiYCbJ1w/oO2E/eZb2kpRdRu0dZwKRd+f8NFRAdPumd7MrDCoCOkr012OQEHKoMZPjsAPf7H+UpX/j0buw8iZ05vF1C0+s7gB6i1ucY4/ulL/p8RQv0ap/2Nw+muV+jnrCdf9CeFqPL9sA4BP921Z+s+n0/TpaYbTrNB/naXNFlLLXtW+T2If5xKEaZ3W2u/T9bu94MOHBJLBx0uP6Hab7lvX54ywT7ZM2TLKe/jXfz07AliBXwDvNH0Kp9mu6euv0/7d318BuyzPYByua1sHv6SkD7Bqr8b53er6XNxtI/MU6QeBkClbKrXkb1+Ky7YLHYnhDNF9vPTAKhGo67RfhVY8P7cUBdzfJZB9/z6y2ZQcTw2nfkwZRC2otaaoSjYNRFux2daUcaZaF1RlQCrBKAVaRKQUBOcoS5hEQBF4//gXwnSArULYI/f3dzTrDXIeCcoxm4CSHofgOI+USDQRZWa0HSjWNXIYCaXCSkXVNfjTgd4FVkpRTgZWHfa0oygqNpsN9AcGAX8xMwWSkkDvPSUlBQYIn2RKKxKuDoujUp8v/7vE0lrqlkG9xWcWN0C9xS34c2RNl6fwaRZz2d+5vP6nkio/BOVviaGW8RpOl1lba6+QnK/LcLq8/PW+Lh9HPh3Hq1o/l+lz5jTD6et+1pz1y2NLrUmZUO/T93lZpjV3uzTJab9Pgqi2TbeVMsHpep3gtGmSqX7wEWvTjp9OaTtffZWA1Lo06nQJpzkj6VyC03lOtx+GBIH5uSnL1COafU+nCYbxl5X0EybN1I2DqGjbEtBYJ2ibgBBwOMkz9ELVpMzpen3ehyJerDSnMVKWjudnQ1UYtFb4UHK/VXz4cB7/3qTxpo8PCVKl1FTNGu9LkAHhwYmatUovjMd3glJYhNLpOYkK4SJ1rZm9w46CiMT3PePs6MqK+1WB7f5Co2aQFUVVs1ICVhWnYWYaBzarjqouEbPDHZ+ZRUlz6pGFwqMoBNB2zN/uwBvGeSaMI0pFeHpCFZJ5tWVGUrcd+vmZ+1LTOU14+RaMQ5gRLzUxCGRyXb2EJvWfFucjUJD6T3/OF+tP5cN/MrJBf075L9/sf6QPr1vc4lfGDVBv8Q8ffwY4/Sml/ms4/TVK/Zw9XcJphsbX231tI5WzmFlJv+xVzTZSPySGem2HtewvzXCafUCzBZNSZ/W8uAJthuTcCjCNEe+vpfmmSfezFg7HZJa/2yVz/KaOuLPtVNel+2Q4nebk6ZmFT4dzb+l3310V+uFV5jRnaSGV8ccxZVqnKfmo5udJ67Tt7Hs6z3A6/Ro4PfL+3UTwIFREqRpjVrS1Qko4ngR9D1WdMqhtlwz4nUvbL4rr5KyydHz4cKIqB2IAUUS6tmK3X2GMTnB6F2lbcRF3OS8QUXF332Enz2wlrTZIUi+rcBbVSuombV9hmJyn8CfMYLB2ppTgXGBTaArlma2gED0mGIKYKCuJiRJnDLvdC8ENnEaw08hKCILUhKGnKiOqqVMvaiHpjydGO6Cmkd4FvDNs5pmibWA4EFVB2W1QZkQLsM7ghxmtIMRAPIOuKFo4Dw6QiyOiSfZS8vz38q31b/oxUpbX9Dvc4PQWn13c/Chu8Q8df1Y4XYLi637TpW7ih9Z8K17DKXx/7eU2lnCaoXIJyzmpk7OcOTI8L4VWGTJzhjTbRy2nQ2WPUyES8C3dAvIauZw/DgkoyzLdr2nOxv1WcDwJpimB6ctzPCvcUyl+tboa5bddMtUP/prdzBD63QfBy05c9vt4vMJpXV/ZYb1O2davvkqPIWcsM5yuurTtPNFq6CPxE/t34Ht/X47k+XTm3ePE6dCgVUtdt0zThJIJpvpBcDxC06YXznoj+OKLs1+siDTN1dFAENntDEoMBN+wWrW0TcM0Tlhj6NrIu8fI3b3g8SGNNg1RpClXCMzoiULSKENTR7TwFKRRXlqnHwDCTxynETs8YYzFuojwDhUFrSzYtmu2XcU4HdifnunNHhM8w/EjX3/4iueXD3R1Sdl0NE3LbAzWToRhRJ7SVATvkk+rlXA8jtSyoCobts6j54HDt98wmomxaSiqlrLr8PsTTfS0wTOcTvTjyDAbmq6l8KksEHCXI/GbM6C/JXJfRtte/dKyefAbv0z/6Z//8997D29xi98ctwzqLf5h488Mpz8mhloa27+15lvxS5T6+Tq4quuXPajLyKr6HLkKuTTgz49jqdTPNlLL3tMMp9nDNG8378c0JTCdpuuEJu8TdF7g9JgAdr+Hwz5eAHa9Trdv21SuL6s0tQmumdr9Pu3X07Ngt7vCeZ5INQwJhMsyPRcZTr/77jqlKmd4yyKBYfZRNXMCVRd+fr8pQKEi9/eOoYfVKhnwT2PK4Na1YxjTvtaNwDpBtxLc3aV91ype+mLXq5hEUV7gjMF72KxT5tg7wakXKGFZr2ruHwTv36X75slYEYHCI5XAjpa7+0i0ju02UhURqSNlJXGzx4QA5si6a5hOMzjP/viE1Q3v1ivWpSDoNetoMFHTdWuiHRAi8HLcoYDy7g6lFOPhiO/3nBA8oFi1GrlZwTyjJNinPYqAmiaCVFSFYh085bqlMRYVFbqqKIMjaEXhJWo26KIgkL4g63FA1ivEPH6vI/j12+nHhE+/m0Aq+5AVxRVS8xv0ZjN1i88oboB6i3/I+FzhdCk+Wl73lhgqX/dLlfrLcnou7edMIlzB83W/6ev2gAycSzjN2cSlej+DaN7mcixq3u40Jr/Q7JWavUq7Ls2Xn+eU/Twek0q9P6VtW5vAMcOpsYKyiJiFAwCcWwZmwfNLAtUYr1nPnOnNyawY05p9n3pbl3AaQvIVzab81qa+V+fAuF8CpxEtz1OeBkXdRpo6TWMSeMoycuwLDntoVxIhBbqE9+/TflZlKus7l+DUmohUgjAHqlKhdESKZK7/7TcBYmB7r3h8J9isI+u1w3mLsY4oCkqtmSdNGB11GZgHz2Yj0Fh0VdA0KUNbrDTzvqcsBHM/83I4MRy+4XQ64AqNjj1sH7hXAtXUdKVCBM8YJU29ZmVmgptAeEpRUiAxTcPGBJrZozcd8dSDDIyF5DA6ZmfRWqOPPQxH5NCzKgvWD3d4oYl1Q/z2G5QzSGcQxlAOR+IwglJIH0AJYnSf5LJzOT/ydiny3+zjJJv45izqUsl/i1t8RnED1Fv8w8UfGU5/jlJ/mTlcXvdLbKTydT+m1M+3WZ4uQTT3TS7v91oMtTTdX3qc5n3KdlQZBofhej57iOa1l76pMabrYogXC6lhOPd0nuFvvRFIyQVOM5geDtf1uu4KseMQqet42Xae6tT3SUz1/Jx6VrN4K+9vNv7PcJrFVd99d85OngVazka67iy6OrcsmDkyzQKzNM78iRycINk5bTfp7/W6ROkGZ3tCENw9gLMN01gitUTptN6XX6b9lCJe+mObOqn7lYLpGGjqCJQ4W1HXA/1J4F2g6yo224qujazWjnE8YbwheIGgx0w1OtZ0jaQuPEUlaYsZWZeUFahCXJwT2hLM6BhnmA7fMhkDTtA2DVUVGU87Hrp3tJ3mMA44N2LnEzoaiJF2vaG3Hm8m1krQioouTLTr5IfqpcCIwPjNB6I32NOBj0jW80Q19nRtRe09Ybb4skA5S9QFMlrYD0TriCG9mKWEIATCB+J5ktTrI/QaWH9O/Kb2AGvTr4wYryNOM6j+lNnxLW7xJ4oboN7iHyr+bHD6Wqn/emxpLun/2Jo/BaevfUjf2jZ8Cp6v4dT7T8vuSyup/H2Zzy/XyZnTeb4KofJ5uE6TytnWrNI3c0yZ0zOcZkgsy6S4b87ZzDy6tD8lw/ncS5qzrJttslk6HeMFHJeZ03ES9GcD/92OT/pFl2X9DKerVYLTb79Nt9turyDdNNdJUmZOwqhxEhj7ybP+1lFcXJvg9H5z9XKVUqNVyzxq7h88zmpOpxLrS8oqeZw+PCRQdjaitUMIQ/CWeVJUVcl+p1LPqAatFM3diuOxxMyW7Ubx7n3FF+8Vj49QFobTaJCipVAR7yMyHNMY1FphnaV0I15VaCFQuri0f5TSIQqJnSp2T//Ky+kFPw6s6hZdzBwHyarQKO1RVUN4GTgMO6ydmMae7aqjaRrKYUCbyKYuKIxFSYGoK0QMeD8zeYOmpG40tQ/sX14o7cjGGGotKTYtPkrkao347huiMUg7ESaDmnowc3rWtUaIkA7mq6PzS8r7/yYh5adwmi+7xS0+k7gB6i3+IeKPDKbw40r9H7KR+imlfl73dbwFp95/qqrP170eWwpvK/WXHqd5397K8ubbZFFVVunnsn4WR+U1MsxmxwDnUp9ptmPKcJpFUM6LCzCOY+oz7ftkep/L/xkk7+7TJKj+lP4+Hq9AHOK1LeBwSIKq3A+be1yzP2puCVyt0jY/fFjA6dkztW3PfbAmQWJEMIws4PSnOxclkUCC0zwBq6pSL+kwaB4eEwjORjAZQVGm52KzSfuSFfpFccK7ESnA+8h331ZUZYdzmrJIfbnDoOlPirqq2d4J7u8i794L1qvIoQ8ELwgxJkC1gXkW6HbgeJKsmyOiLPDBgKyBFWVV4EdD0UY8Fco7Vl3Dfi+o2w13dU1VFOxenti821K1JXGeqdYdf1tX9IcdwRqstbhpYiVKtu9axGFAnAZ0d278jYGgJRxntJKIU49WBWsRaWNkVZfI4FL2tOpQ05gEa8JffplE5wGBKBTxcMBXJXOMOJKFVP6Xy/s/52Pk52ZWIXkymPOp5pVt1bLBPHuevjbrv8UtPpO4AeotPvv4s8LpawP819f9UjHUWzZScM1Ovu47XZbifwxOM9S9FcvvzZxdzVnT7HGaT3O/ab7fZYrROZyNF7uqDIrGJEhUOpnkZ9/yaYycTgk6n56ua0kJq7Vg1SXF+jQlgMtlf2sT4Dl37VnN3p99/2nZP2dsM/AOQ7pt31/hFFILgdbndoQRhEwuAj8fTuP5/8jdebKVtcmLNAY4jekxKQXDmNwFyiq1N3Td2dbKxrOextCfRtqmYRwF8xxSid4U3N+py2vqeEhl//VG8HAfeXgUbDeRKBVlobE2UhcRM0WcMyiOWC/Q0VC3d5RVyXormKeeQEWYInUVCS4w7CeCn3Czo9YrVJxwhcEce9pOsNm2lFJigRpJqxtaqYgycBonSgWlh2n3gjqeKKVA1QVxmlGlRI8GMzmqUhFUQRwGxDxQjgNRa8SqIwSBXHWIb78mWouYJ+IwIrxDWEMMAQTYumGwM0OYkCgmPA2p51Rx9Vd4Xd7/sY+XH4NaB5yAabFmQvzzl7WUV7+0/Ist92vcAPUWn1ncAPUWn3V8DnD61mSoXwKnGTzfgtOfq9TPkPx6f5eCpRxLE//ldnO/aR5DujTgzz2feX8yiMZ4neyUWwHy6Tyn3tH8XZ37K6cxqecPhyRSunixesF6k6ydcttA06TbOXe1S7I2gWm+v5Tp79wrezhcDf+XPacfP6bT+/sEhFnJrzUoGTmOAnUeO3rqL0f0rSP4vfOSyKpLcBoRNHW4QP9mKxI0j5LdHrqVuFhs3W0j/vzjYrOOHI+W9VowTyl7LM4HqGlGjIkUheOwVzhX0nU6CaI2KXMahMLb1KOqRUnf9zjjkGFH3UrcOCNWHh8qpFLIIBBKE+aJYr1GYxlN4LjbETHgHaV0bLYdwgSKuxVNI3j3eE9ZaDAz1geiVlR1CQLcOBBOhlkG/HGEcWC1aVGzpdYCWWoKqWnbmqE/wjjDcKSLkVLr5MJkZ2y9RUzTxe5LTh47Tbh5xBqDbhrqwx5b1Uxe0gIKjwBGUlazfXXUfu7Hyo/dzpDgtOUKqAOLLGrOmpbltbyfPxByKv+m5L/FZxI3QL3FZxufI5wuxUY/tObr88vS+ut+05+j1F/aSOV1cwk/g2TeRk7m5MxqPr+E3Aym1l6V+sZc17H23Fcbkyo978M0pTWGIWU56yatL+V5FKmL9Oee0+MxAaMQJHV6TKM5s8cppH09HsGHNB0o79t+n/49P1+zpRlO9/srnELKUPb9InO6SQ4AGU7LIrUjjFMSCR0O0A/wc0r6+XwhU/bz3bvzvsdwsc2qqvN+e8mpT7232ff1i/cpC9p1qQ3AOdhsNEMfkCIwG4EWDlUZiI62M/Qn2O8j63XNZl3RriJNaxG6YhoLhNAoIdHlGiUUp+mFpquoZcPqb57ICc+MFhovVyg/IqKmlgbjJP3zjoClEhpdd9Q6EOKBqmpYb1vu7hpaIVP2ty2IXjIMA4U6F9QngyoFlQERHGK7xoYJFzWqLGG/JxhYeYcWmuBOVAQa79AxIuoaFwWiKpEfviU4h7ATbp44TsnrFe8R3mGblmAMDP3FhD8fuU80bfz6/tPX93FcM7Iszl+2V9fpzaFUegGX5dv9NLe4xWcQN0C9xWcZf2Q4/Skx1E/B6ev4JUr9t26b18zfc8s+0Qynb4mflhCaBcUZVPO+LsF0OeUpW0oNw9XIP1+mVSpdu8U2cwvAOImLqX6M1zGhziV4HIYEgc/PZ4FzIbAmjeXMpfEQEsDt9ymrCtdhAC8vVzhVKu1rbm/Y7698IMS1z/XDh7Tdu228tCl03ffhdLf7uXB6PVVCIAT89a9pW0rGlLEdzlOcEPSDYLdPsLqE09z3SoyX52oaNHVd8fRxoNQRISNaK9o2MPYNxgraNtJ1e7rNyKoFXWn6foJYUxYtShVEA/iKtmuIxnP3ZYmQAYQjhB2Tl0gjKERBWyqsl5iTARnTTsqSqpBsNmtePlq6TcX7d2sqAUVTo1VAGOjqhqbUBBFREYbBgOkR/UwMkaKQ2CES7QxBE51P2Vtd0E4WKdPIMeMcsxYUzqK6LcoYYohoFZGjYewH7DzSDj3UDSJ4eikpiATy8IR4OTr5i/OXlvd/KjSf9raGV9u7zOvNVlNZKbc067/FLT6T+NWAKoSogP8L+N9ijP/199ulW9zit8WfHU7fspH6PeAUPi3pv7XtJaDmfstl9jU7BixV9UtQde7afpD7Ppdwejp9P4t6AVl/xoBXQGwMnHpxgdSqOkPmeURnjAlK83So/f5c+pfxAqebzbU9oCxTrybn5zVbRr28XAVRWl8tryBdlgVRuZo6z+ey/ulsWn/OCK+6SFWmzO14Ns3f79O40R94VbxxPiKBQkf+9re0jbKIdCvBOInkuVqKs8uAuFR3qwrePUY2m/S8anUdYzqPhqI0PD8FmkrivGS9btByZJoM0ywQnAVkd477+4mHL75MWWwi83xCyoJgBN54Vl0kOggapAKtFXXd4KKnLmtq3dBpaFYl82FOP0QiCAIyWJquwg6W1arm4WFLW5ToQqCEB5teSGUhEaomTjPx1CMrxeFoIHiKVY0QASEjZVvDNGEp0NORgER4R5wHxqlndgatC4YAxTSxmUaC85ipJ4wDJ2POL3CNLBS4iBQgnaMhMp2PB0BFKrl/8j78gSP7+uj+VJSkntOBT3tQL9vLvwLzLN0Mp7n5Gm59qLf4bOJXA2qMcRZC/Ad+2fvvFrf4N43PEU5/yEbq58Lpjyn1X/ecvgWn+bqlUn9pGbWcCJXPLzOvGdxOp+s40yWcBp9K+cspUxdBlRfsDwkGY0yQSEyl+tz/utslyHx+JgmEShAkG6ftNpXacxtBVQtmcwX1PEr15SXdf79P3/k5cyplypAWxdUXXesrnA59gtPcxrBeJRV8JLkAVFV63C+7Xwan5bmK+5e/Co6HQF3DZisvo1SbVmBsmvCUXyNCpMzpdnu2/dKRqoxoLfDWoIsTTx8ntIJpCtw/NtRlwTQZnl8OwIl1F1iva4pyom07lEg+oMEFpJSYaUJHRddGNp1nmiuKwiHESBQSRKStt2zqGk0aF2tOBueTaT8oCqGx0mFtj42R9bqhbQqEkhA8qhJwBlkhJRiDnEdiodBjoLCek5BU3iGMpakrqnkiuoC0nqg0cZgIpyP9ccd+ntiuWqpSE9sNQ98zOAdhwg4nmCbMPGKPe2pVUgmBK2tif6CcjlTVGjcf8UBx/qe5QumvLe+/FZokiCrO2SQgAAAgAElEQVR5Q8WfbaXymy6/YbKlw7Lp+xa3+Azit5b4/0/gfwX+j99hX25xi98Uf3Q4favfNJ8uDfBzSPnTYqifA6fw8+A0Zzzz6VJIlacO5bXz92TextKaaqn8zyNIs8dptpMKIQmaXmd0s4AqRHHJjI5j2l5dxYtHudbp8tMp3f75RfD0nCYk6TO4rtcJULOnalWLy2OAtLa1CXA/fEj9qMli6QrPz89XMM1JKmPgu2+TfdVmcxZ/mch6lbKaAM6m+5x6wcent4/fWyV9EOgzcH7xBRz3IbULVOIyiKBbS6ZZXDxemya1E9zdpcfrXMout01qfVAiYLxhf5ioygZnI9s7QfQ9zkamcWCe9ujigNIKpKZd3SMEzHOaaY+I+MlR6RIpInUZmCZ4975AyhVCVhSloygLGiUgSHQlMINJgwDwWGew04CuFaWwRKe430jKTjGfDoRVSysDfpJIAkqlrGWIkeAjOhrENNOpgnZVIrxBl5Jm1aIORxwKJSzeBXx/ZDYj+/6AiYHBGVwMVMzIaaTvB3S0rEIkBkElJd/JgkNV0gVHcJ7We0oKinmiFGcjf/heOf/XZmh+6KNJ8wNfzEu/0wyo+bKbkv8Wn2H8VkDVwP8ihPifgf+bVJm4RIzxf/+N69/iFj8r/oxwusyavtVv+tbY0tfrvj7/Q2X9JZwun5clTObTvC+5fJ9V8su1cuQkTr7tUhC1NLXP561N2U0pUo9pXjPvt3XJLipnWccxwVdRpPuuVmfwOyWQnOY04enjh9Rzmfet667jRoUUn0y4CiFBaT59ekrrZTid57TO8/MVTHOSysyRb75Jt9tszs9hiGm/yms/a1nC4Sh4enrrGL6dNQUoVeoXfXyIzFOCz7ZL7Q0hCrq1YJqvHq1Nk/pSN5tkxn8ZpVpHvHcUeuZ0tIzzSHAWoRvWG4mdDUU58PT8zH4/UDeO+/sveHyUbLeeppZYK7HzB6yPRGMhaEIhWLWecdB8+bcSqQRFUbBaFUQEhXBE51EyUkrPMFqCjQQ30fdHvBtpVxpnA7ou8IXAjD1SR/r9kSF4NqsVhS6wQuEPpwSIQBxT2r3crNCVQjmJqErUcUcIEWZD8J54GrBDz3w6sNYVYyVppODUrhGTQXmPlAF97uFQ4xHVD6yKAhFcajVxBk5HRLNCjCeI/ntHLof4gfO/a+RSfozXF2TXnTe6+MC4xS0+o/itgPofgP/nfP5/fHXdrfR/i79L/Jnh9IfEUD8Gpz9kI7UsrS/Xf+1xmmOp1M9CptdZ3OU6OfK+5daDJZxmEVIG0nm+njdzvABtVu3n8D6V83NLwDCk2xc6bcfalBGtqqsFlLGCjx/ixfYpw3PTpCzrNAuEvGZ/sztA9jx9ebmOI83bmKZ0/uUlQWY2/Ye0P8vxpcSUAa4bcVH1L+H048c3j96r0+t5LVJrwPt3AefSOutNglPnBQ+PAueThdTT09W54OF9srayJomyVlsws6MojvSnERDMY09ZWsqqhRBZrQ98+Lhj6EekeqbpWu7uKr74oqVuNN6CwBAQqDBwGiZAsmoE0Q+oqgOhkFJTVul5xoyYMBOcpaklw7MnihIZHaMxOD9TlRVFHOkDzOMTAsH9/SNmPBKd4WBnjLdUdUkRHNp4TgFW0VDNUHYdWgVUsDgpCacdrj8RKWiiAx9SO4CbUc5QtRXOTjwJxf7pmZWZ+CuSDpicS36nCIKUoAvk1ENVI0SkLxrCOLAhULw6ij+3vP+7fAnmUkpufs5Z09x3kuMnelD/6Z//8yd//5f/9B9/j727xS3+zeI3AWqM8X/6vXbkFrf4NfFDZfN/73ir3xR+XzhdZk2X5vlLG6rXGdN8/i2l/jKTuWwtWBr5a/39NoG8Rjbgz4CZQXUaI9Z8+pg/ySAHgfPXdoBxSGr4nDTyPmVOhbj2c3oXeX6Kl9GlS9edqk5Z2Pxc5glSUnKBxt0Ovv76CqQZopVK15Xlwus0xKsgqk/7QkzK7rq5CqemKWVRX14S4L46cm+cv+JNcQb3L/8aUktFec36TkayvUuPydrUjtC2CZhzWT/41Pu62cA8RbSaGYeJqm457mG10oTwEWdfaFvY74/E0KJ1pKjec3fX8/AokXLEWQlREyhYN1sMGlNAUUQ2nUAVHaqYkKqkrIo0wWscsb5nOvU0jeDw3UhUDSsdEAGinVEyIDiyOxqadclx2CEpaasS6y1dUaGkQGrohyPvug112yDngeHjkaoqkaJCRo9xnhmD2b0QZYHZP3OMgbIfaO2MOB2JMYAUoDW+bhCnFwopkUA5TEQfGPY79NATEERv6YFmnpD7PRVgiNiqoZw/KQ6m1z6/E4D+VGT/tvyizAKp/Hd+Q94yqLf4zOJmM3WLP238meD0l9hIvfW4fo1S//U6y7GleR+yGCr3qC57VfNtcok/t7llgdSyd/a1jZRzyaw+K+QzLGbhESQwhcuESeY5wew0Xb97nbtmR61L5XxrIi8vV5P/5uyH2rSCuv7UqSCLq2I820q5lIH99tt0XRY89X26X9+nbdf1dfqTtQlOj8dkJeVcahuoymsya5oFRZnAdLf73ivijfPX00IJgg98+dfzcVIJTnUhOPaC+wdxeSwfPqTH62xqaXh4OCv1daRpBM4E2gb63qF1ZPcCXZt8Y7UWlIVjHGAaW5Qq2dwJ7rYGIY8494SxihgayrJDhZ7eaqIf0UrQlJF+Cvw3j7mvI9B2AuEdBoMZBzbrBh0dc9kxDAOzcRSqIEjH1H9kiILtdktTKULoCG7AuJlKgxQCogMvIUr86YRQBWIeEdYxlQ1dqYizxSqJeX6hKUpmC9EanqaR9TQRvKUiUKw6jsFyVJrKeB7qknp2RNtDcKykpNYaV5REpZlOB0ZVIINjRFA3JcqO2DOc/ruW92O8mvILcTXqX3rE3QRSt/jM4gaot/jTxR+9pL88he9nG1+XzH+pjdQyA/ljSv18/9cCppwxfQtOc5VwCacZSF9vO/et5kzpPKcMZwzx0kOaS/m5v1WIs3F+uBrmG3MF06zUz5nTpkllb++TMMm5BIDZGaDr0u22d8lrNANwjJ/C6fGY9udwSJA3z+mxjWP6FyMXMK7r1Cfrz72033yTbnO3jRibJleVZfonRGo1KIqrTdX1x8GPZ00BKg3WBf76RYJecT4OZZUspLZ34gLwLy9JBGbPUP74mMRQWsU02pSAPGdytVZ881VktYZxdLTtASEGQtjgfCREQ9dI7u4U7x5XFNV7qjJi5kjddHjrMfOAiHucC3SNYTIV//1fC0IwuDDSrgTDEbo6TYvSWlBJizGCYD1xMhjpcIXDTiOeyL4/oBuolGK93TCPAjf3eCsJdUXbdgjvGF8+Itb3KD/jjSHWNXWtUd5AVcDhBeE8oSgxxx1GROpppvSOtu+ZRWRVFsQoMapkNYxUdY2yPcZaXAzUuwPlWXk2xvTib5SkmWZCVTIc9pRFRWnHT9+Tbx7JXxa/6H7ZjH85NQo+tZaAP86H4C1u8TvFDVBv8aeKPzucLkvx8OPahp8LpzneUuovYXXZb7r0KF3C6TLDurSRyutnO6Pca5rBc5qSVydcx5Aaw0XcFGMC02wNdYHTOanhMyRqfc3YNm0C2XmK7HZpOx8+XOG+qtKT9O79ta+1LK+m/vl2OXOaPVL7Pt03bze3JmidspFSXB/v11+nloPtNoFo5oSqSuBsbLrfy0uC4Ovx/fGsKUBTph7Sv7xPz43WZ/eBrWSeU/+plGk/+/4MpzYB9ONDZLu5ti6UOpx7YgV1Ffnm64LVusG6nrocmecDdXsPrmMcHUofUMVI2wiQkXXbImRHVQrmwbLtSna2wNsRLffMxlO3hmEKCBOoGw3OYLxBeUUUiooJa1vc7IjeIYUHrQh24N27DYeTpG4LVJwpmw3rusJGR1GtcfMMKiKtgWlku16Bm+lPA8FYqvWaivx4I2IaOIWIfHrGBIs7JTFVISKqKtCFQIrIavuI3R9ppYBhQrgJ4R3KJiEXVUVUGj+eKKqKwhj6YUY0FUZpWme/53kKP6+8/7uU/4viOpUiv/CW2dKcRb2Z9N/iM4wboN7iTxM3OH0bTnMW8y2l/tIqalmKz/dfCp5e20YtT5eiKGOutzMmQWYGzKzaz9ZU1gk4P36trmb5wUe8TxnXvF4G4qIUNE2Ct2m8Wk19+HB9vqRKJfWspJ/Oive87Qzgx2M6zTZSp1Par2H41PIKkltA7mWdpgWc3onLAILclyqkYJ7SWrvdeWSqfw2nP4QogqYIWJPGl+ri3G8aBXcPgsMxTYnK7QfDcHY+OAvA3r9LwweMgbZJGdSchXc2sN9BtyrwfsV6pTmdHG23wYwdx97TNjuK8sT9puLhsWXdlii9pio6xmmgKTzeAUFQVZ6AQcqK949bIiOoyPu7R0pdUERDPxu2dcCHhtOpJxpHMJamawnWUbQShGS9XRN8ZLQQsDij2Gw62qJCPWrsPBOmAVU1xH5CuRO98ai2QWqBx6HLinjcY3xgGmasnZjmCfO8479tS8phwrYV/TxBvaE0jmKeGX36FSKDp1WK4rRDTCNBaoSSKCFRWlGdDEoXuNOA1pq7eb5Md/r+UXz7/O8aZXl9My3N+Jdgmt8Uy5L/LW7xGcQNUG/xp4g/Opz+kBgK3lbH5++VHxNDve45/blw+nqdpb1Szha+bgN4nTmFt9sOlmV9a5J4aBzTmsuxoLq4Ql0uu1ubeifz3xlOL9ZVIvWQplIzF5/P4/HqRyqVuHihZjgdhiRcOh6vPwakTFlNKeGrr9K2jsdr5jRPtAohgWlZXsVg8wxffxUZRsH9vbg8X00DSovL9Kk8vvQKp5Fkr24AS/p4zbbu12iKJIR6eBRUeXSqFKzaNBUquxX0PRwPEeL1x8zjQ+T+LmVK2yZ5nQqRMr/jEC8essFGthuJdR1ffin49usd1oMUHwh8Q7sKPH5R0zY1QlXURYtAo7G89M8EA0JGlLYcj5b/4b/7gsfHB2Y7EcITIlh0gCAUlbDooqawJajAHGeaVUupYPQzkzkRdcFKRppVhRoMbVlzv27QSLTSaCmp24pgDQSLUp7ZR6q7lsk6QrAcI7j9jsIMWOB9oXHVlvGDYSfA7V6YpWQyETTYssaOhjI4mtmg/ETpLYVzlCKkF5RK1lJF3dBMI5M1iLKgjGmCVPfqffl3/cjJv5aW55cTM+BadsgfDrc+1Ft8RnED1Fv84ePPCqe/Vqmf14VPBT/wto1UBsrXQqzlv5w1XcLscjtL6H2d1V1aWDkbL+dzKT+Eq38oIpXxswDpArQ+ladza0D2MVUq9VtCAtM83z5D5PF4HjPapNtku6nVKq1tTALV5+drxlGp9PcSTg+H9L2ey/0xpgxtXSfY7ft0ejzENCFqFDw8XIG9qhJ0Q9pGXutwyFCe4fQITHCZpF6TZgMVQGBVp8ew2Qo2m/PzLiVVIzj1SZFflulxmzlejltdw8N95G5rMdYiMVSdxvs0034czhltK2jrQKEj3gseHyLPT5ogOqbpX7Hh/+VxO9K27xDeMM9PTL3GVhMyKoy1WDPTnz7y8HiHcYEv/7IFIj56tivJ00ePLyZkXRGtQVUQZlABSllRtgU+eMbxCGKgn2Z2p//KqSkpleDxfoMi/RqQAoRWEDxxGkBKhDVE57Glpu8Nm1KjtQApmJ+/wyoN00xZaIpxooqSqmvQIqKbAu8t948PYDzBzMwhooqSjYxI7wj9HuEs0QdEKWEy6KpmZQyFKnDTRKk1VX968wsyl/d/7CPox8r7P/uja9lrep6oRdNc38B1/emb/zbq9BafWdwA9RZ/6PijwulbJX24wumPiaF+ro3UsqSf11vaRC1B+HXiZKnCXyrtX/ebwvXyrNR/3cPqHBc1e+45zdOWnEtwN83iYtdozLVlQIqIdZ86BuTpT0IKyirBay6dZyg1JmUn9wdxabubpqRaz8KoeU6wmuE096B++JC28y//kmD3cDh7kx7SY7I2wWnbJtDd7dI6+13kw8fkM/r4uOh1rcUlkZW9VHe7DKfLAzmT4LSBNAOJNLukBFSCUyfoVsm31HmB1AJdCKYpXSZEej6ztZWUDiVn7raOuzuY55lCWVZrwTxHqrJinjuULjgeIqs24J3FBUvXOZ6fFcNUE6moW8emcmxWazYrSVELXj5+Q1k3CCew3qPFGi1b3j1+gYuOdw8tRSmTnZSYwWkKAqPtMd8NrNeS0lWJyFREiUCQAtyIFD1OKEqlAMmH3Qc2XUX8aHh82BKPnnXbovBoazDeMx97xLhHWc/JB4yfGYVEipp26BFa460nhEjQEtEPBGPQ+z13D1uCiKhSIcsGPx5RhPMoMYeMyaZBuTkdrrZFxICra0zf46cBITSdVhREpE+9J/9u5f3sX5Y/OHKKP6vzljOQl6X+W9ziM4kboN7iDxt/Jjj9KaV+Lpf/GjjN2c1lJvMtpf7rzOkP2UgtDfZzGf41tF6ut/F7kHs4XIVO0ywYz+r3rDbXKt2HmKZFhTMjWHueJuWSWr2uklK+Ppe5h+G69scnwel0tXscx5RdrOurz+r9/dk1IF7B8dtv09/ffnueNDVde061hqFPKvi2TWvt97DdxDSN6im1D2w217J7Tl5lQK6qBMTHQ7y0M1wRJl+Qc2zyfN6ybhqMTeX7+3twQYJI/bbOXX1epYgEn/a3LB3TeOTxcaJtBcPQUxYzm817oKCuAn0/sF6X7F40dRUxxlE3PW0zcTilPlnnHO1KUZXQdl/wcFcilGX39B3GHGiKR6pNh9sNBDGzuSsQskaIZLVU1QIzvhB9i/dQrTrCOFPV4GYPwVOUEedmHB4ZZowd8cJhjEeoQFFI7uiwZuTdX/5KDKCVxtqRoFuCjIy7HeawJ44zvio4uRlrRqTuoD/g7YQQAjVavBI8f/0V5Wwo7UhVllRliQ0es2nwfUrpB++JRYGeZpgnonWIEIhSEaXCn3pOWjM7S9Ql0Xs8kXXwKD6FU8Gvg9GfI6h6M16X+PMHyBJQb+KoW3zGcQPUW/wh43OE05/rcfpjYqi34DQnTpbl/CWc5rL+axupJZQuL5eSi81SbinINlLZL9Q6cRldmlvjnI2f7NvSG9UY6IdzP6eIF9BcrdJts40SQvD0nGAwl9bzWNHV6gq7223al+yxGkKaCiVEKutncZQQ6XxZxIvVVNOcs7XHmDKwL4IPH9Ma9/fn9aK4iKdzP2hdpwlO+13KCp+fscVpltPkArADAttOMxvBakXyNBUCibg4HHTddSrU8ejYHwx15RiGmfu7ke12iyQS5UxZHHHWUFcKY6GoBN995+ia1HrRtgapRsaxQynJMEa6dqCpYbPp2KwtSgXMFEE4ZGzY3L1HeYVSAl1LqloQQonSyRy/UvD4xR3Sg8MRhhP3646u0ZghMpx6BtcjtGAeB7SS6Mrw8WlP23hiNPSHE9N8oiwLZjPTth3gIYDte6LzzMcjDRIeHhjGAetmurpOArHxxItzlC7QSoV2ntl5goRWCFbvHii8Rd1vMCZNrhLewDjSBUtTl7DfIacBrySzUnhnMG3NdDyxNYagSsQ8MSpJddh/b3rU8oj/ko+iXwWnS2VlNufPvad1nf4W4lPhVM6i/hE+KG9xi98hboB6iz9cfK5w+jp+D6X+Enpfi6HyfXKGNJfvl3C67GGN8awWF1fxUr5t7guNpBL4OJ4FRmUSS+V18rby/b1PYDoMqWytz0mhPB0qhAS++0OaJvX8fBUwdV16HJtNOh9C2m7bXgVWVZXun4VKGU7zfhz28TK6FBKcNk1S5683yfg/X7fdXsVd2XKyKK62VM9PyfjeefgUO/L5glTeHy6Xr5qG2VSsVvDuvUjDCYSgWDwHVZWem753vLycqKsRMwtWqwNdFwi+RReapi0Yh0hZWIxtUCry8WvPZiORKmVnnbUYIwkhjVp9fIRuJXl4iDzcVxTFPfOwJ8pAITdsH1eUscL6QJTg3QdOxy2P7ztWq0fasmSz0mADoXSYw7cEO+NCZL+TFDQJMoVBTI5119J0ksnVlOoD++FAJRXWjZSqZBz2HKeesq4RQSPMgCpb7KlHRY8va7wdedk/M7oJRaDznqAVbuhxDh7uV/jvPlCFQNx9RKxWFFqBlpRdSzmfmK3FDiOlUNRzjzKRGCJeSk7TxFhr9DyxA0QIdGWFiiClQHqPx39yZH+opP/Wx9Lv0n+a0/Z5apTWVxjNZr1Z2Q83gdQtPsu4Aeot/lDxjwqn+fxvtZFaKvXhCmo5gwqf9pwqlXpA8z5lLcayf3UYUikfwUVdD6mUb+brvmRRlDHnzCuC/SGZ8GsNnvSdGmMCswy+u33yO80G+kKk641J0Ng0aV1r0/1zWT/3rOZS/jffpJJ9XZ8zss8pU/vycv1eL4vIPAvaLgHcfp/WWm+u4q62TZfl1oCyTFnT52fwAT7Nmi5DA+351LHpCrwvWa0L7h8ELoiUkS3T42lbKHT6QbA/wcvO0NQj89xyfy/ougDxW5Q8UZQSM+2IYc84pcf19FHStRVQpglaLlAUBfv9iHVJVNV28PAQ+PKvDVqXmMGhYktVatrmgTjBbCZMMCg9EHzH9l7R1CVtueXdQ4mfRmYx0O+ewEXaRiOdpu8HnExQp0VElJqqTi/6SkS61QrGAW8d67pFSI+IHS/7Hdu2wTmD0goz9uBnBmMRxjNYw2ke+DgdwVZ4KRBCsj8MRCmw/98ThfGsg8caS0FkZS3V+wem08g89kQCRV3BNGALgdsfKaaB2RqmtmUVA6Jb4Y9HPp6OTO2K7ngkSAXz9IPiqL9b5KbsbDOVARWuL+b8K6osP+3bucUtPpO4Aeot/jDxZ4RT+O0ep78UTl/v22ul/uv7v77dBZyJF8bKl2WVfQhpFOkwgjm3CkxTArY89z3Psc9ONxlOQxSEmKAuT2ey9jo2vOsSCDqfyvkxpszpfNWuYC3c3aXz2WM1W1UJcbV4yhOrvvoq3S6PAX15Tvt2OKTb1lVyCOiHpJ7/7rsEpyEkRT2ktXJWt6rOgwZ05HhIpX0ffig3lrsMc5m/4G59HTbw7r3A+QSnTXMVYxc6rXc4pMdSKMs0wvZesO4CdVPivcb7r5gHgxcWgqKQlufnme3qkRBb7u404xDYfqHYPZdE0SJEjygU2/VM1ylidJQComqpVx1CKNwAvlEYd6BmALHl4UFTlRVaWUplCbNnDhOn/RN27GkaxXjqOcyeeZwoy5Z3m0eqqkqm/ZXEjZ6mjTzKCiW31IVAFwXCTwxrQ6UFjYsUrcaNM37smfsTL27GC2iLAtGU/K26Z3j5SKxKGGaCMwzjif1p4l3X0ZqJ8m5DEBFXlzQSpsky7o903sJsUXZiHHr0bClixPoA3iGdJQhFLaDWJUdjkTIJ21prKYUiRv+9I/1Ly/u/qv80w+gyY9q26TT/gltaSy3FVPDH+NC8xS1+h7gB6i3+EPFnhdMMkK8FS78HnOZ1l04yP7TtDKbZYzRDbc7oZgGwEKQJOos18vpZlY9I5fa+v142z0lg5P1VtLRsfcvAaUwC38Ph0/7UrMRv2nSbaXZ8+GCYZ8fTk0apkhg1bctFRV8U13GlGU7zc/XykmA5xmSofzqlsZ/DkMBT67T/xLOVVCfY7xP0fvVVgkKlBevN9fnLQqWqOmdrdeTlBT5+TP2h52fsjaO6NLkVbFfpOawawcNjgvUQrnBaVQmYcz/tfpdaH4zVbDaRVeOpa4GSEik0Ekmko6nWSFHy/DLSNiCl5uFOM8/w/i+SwyHiQomSgvV9yV/e71F6RiuDCAXHg6SuOmLoqFXEK4USklUtma1CxAAi+bhaYyk6weQUu5evcVOPEB5NzcnMGBvwErSIRASFLqlXkuOhp64FwTuqcsVft4H9NFIriSg7NqstKgZaLTD7E413GG+ITY07zQRr8SLSFQXbYHladVhrMFJgRaS0gb2dKL5+xlQ1X9Yla60JXYMbLb4/IpVAVg3SzqimQjw/EcYBIQX63TvEOBAKDcOEPJ5ouo5qv6PWimKcqYmo6M8wKj85vr9Uvf+r+k8zkOZfdFkpCFfLKa3PM3nFpx86v+BD85/++T/zX/7Tf/w1e3iLW/xd4gaot/h3jz8znC6B8qdspF7D6WurqPz3Ugz1lo3U8v5ZwJRFUTmjmfch20QR40UMlVsS8v5e2gKCIALeXeHU+wSm43hN3GQ7p7yPsxH4kEaSSpngLyd68vaUFpfS++Hg+PDhxDBMPD8LpIzEWNN1K0LQvHuX7nc6Xb+L5zntY1WlbGYeEJAV9XV9NrY/ptvv90mMVdWCuklAu9kkOH3ZpUlVbXt9HnKySqnkPypEWvv5KRIDhO/lzpZZUy7XZTjVhUiCKK7l/Ay9XXsF/+en1P5gLay7gu2mom56vJc0tSHisUZQVgWEgnFSFFoloVllMedpVC87OPXpxbLZFrx/COgisGpPVGXNPBgKXXI89WxbyWS7NBxgBcZannZ7vvhiQ6lAxYgWPaNrGHZfczp9oJAa507sXxzRCVare96tt1RFi1COeq1QXlKuJKrwrLqWEvDUlMMzp3Emeo8ZT+jgMD5QWkchBZMQNLqg0zVoTaklah6oViu6WXD68MwoFA/OE3XBwVoMka4pmcLMrl0jjzt6q5jGCT+OFN5Ti4h/fiF4j1aSKCSFsTTOMkQQ1kBT03nPWiqKokC8TAhdkFRwgUi4qPd/Tvb0d+k/XTaWv25SX06LWr7Jf+xX8S1u8SeNG6De4t81/shw+pbi/rfaSL2G03w+r7+E03yf5bqve06XJfksesqQmm2ipEy9k/m7bQmn3idF/rLn9HhMGcMshspl+hivfaDOC+T/z967tEq27mtev/c27iNiXjJzrX02VKGFHSnRjvgJ7NgQFMrC+gjVKERsFJQgSjUEW3YKpMDqVSnCAUFslj0/gAD/ev4AACAASURBVBcUQc+pfVkrV+acM2ZEjPt4LzbeeCMic2XuvdY+e5+91jrzDzNzzriMMeIyxnjG83+e569gXmLLP+lWU4ZpksYhxHlEaBovutst7PcTx2NFUQiECCzLgBAZd3eaECI4rWs+CPcviqgzXdd4/+NDBM5ZFsHp4RBf++4pUJQCYyIAe3qKOafv3sHhKM4d1BTqb8xJxicD9sTS7p4ieyoE2HNr//qDTR/+5cu6bUVk6UwM+Rcns1lVnUxpMqYGrGsEwUkb6xxsGs92q2jbhmU21O2EVBbvFE46hn4PXuCp0GrGB8/qRt7cGZ52OcusCEFQVYJXt47tzYrwD4QQGIcVoyT9MJApw2IrjIqGMK0tj7uRsrDM4w6/emoj0FXDOh2Zx55MVWwqQX+wPB7fkpmcnxUb6qrBGIWTYOeJLKtpmpy6iNENKlMIZ6nuXpP1Rx4evmbsO0qtOO6eUd5z27QE4pe+MBJjCqa+Z7Ur+75DzwtIUM8H1jgjl1aBKxvGZSHLM5bugEMh55VsmXAI3Nqx8Q45jVTeUSgJN3dkhz2yqjF9hxt6ZLMh2+0wmUH0HVJLwtDHT1oahF8v+/9vP2x8UN+7vX891tScMgTSjpx2/rQjJpF0ciZeO/h/CAfQl3qp30O9ANSX+qPVDxGc/kXMUN93OtR1S/86VeZzMVKpUvTTtZkpgc1kQiKEc8bpdQB/WqaQgtVeIqm8j8s7HsIZWHVdBFNFcWFplY5sKSHmiTp7YQNTeH8IMdw+BMhO59k0GSrGSVmenwWbjTi9DkFZCurasq4ROG63F3CsVNyGX/0qLvv5OUZEjWO8vesiY2p0YL+/BOsnrenNDbx/iIYtIWKrPUkeksRPigiylwX6LkoUpAjM9mPW1H/0d6xNI2Kr+wqcTlMExt5FI1SafuVs3E4hYgJC24QYQXULy6zYtCVZFnBhQZr7E0h9ZN+/Jc9Lgtds6pq6cnzz7kgIA8NU0NaBTaPYbDOasuN4XJnHDpOVdL0D4VBUWGvIc0leOIbhmbzsCD6nMhll5nHeotzK6haWeaLILF+97QguMIwHvNuQKYVSijVIdJhYloyiVni/8ryz1LVkHQVFmWO0RniLm2Z+fnsHy8pYWb7avWV6HCnbhtWUtHWJCJ5lmajrhlpIlMhos5L9MGC95PDuz5FCYgnkCmgr9Lqwrp4vq5o5BJppxmUFcrejXS2FEChj8NOMJKCtRTuPaFucC8g8AyURfUe43rGNgXn9JDD9gxym0pcRLpqQdLBIAb0JlGZZ3KnTDn7Nqr7US/1E6gWgvtQfpf4qgdPvqjf9XWKkUtveueiqd6d8zmun/gejTREfOPXTzziEsxkpxTaFcMrndLH9L2V8EcFfWvjJXZ+c/T7E+fLeX1ro12D3+Rn6XpPngRAC6xrd6kURWBYd583fx5Z8AthCwC9/GV/Hu28CXXdp/+92kY3Ms8iOVnXc7raN67q5FTw+Rha1LOP5Pb03eR7HqybG2a6B/gR2pYTpPMI0cWHfZk0FJ6BNnHh1dxdvX5a4Dc7G5V+D0+ddHENKCNRVYLuF168jWK3KQN0IpskhQsChqesbximjqTKECDSbmtubO4YhQ6qFt28fuNkoqqqhKD11JViXZ4b+Ga1K1nFGKMk4HZHcsL3JKStH13cY8xyjGfzIsOzIzAb8jHUZuIB3Bw7HGbt6pnFByhylBLtuhywNlbFMs6NqHHP/zGHpTjKQgrzKsMHT5BnLcU+mAip41mXGzwP4gCwLhId57ZHHCYaOqq0plSb3gur+FvnwDUXR0D0+4uqCg13565uW/PYGbxce5gW1OrQ7sCwrRliqeaQg0JQFcpkIVYXsOkJZweGAGAdCVSMOO0RuEOMQv7CHQ2Q9dQ7zcP6cf5f2/vfWn6YsuLI8fbnEJWYqibiTziaxrR9PkPpjH0Rf6qV+j/UCUF/qL71+bOAU/uIB/J8Cp9eP+ZxT/xpEphZ8Cr9P608M3XWM1LWBKYTImKa/r5lXQgRl03QZH3o8XrSf0xzZSClO6/gIHPd9/EkTkfI8Ljflli7LJcppt0sxUBneF/T9QFUJ6jrgXEEIGXd38TEpi9T7yJwWeeDXv47AdBzjevbP0WhkMsHhcPGMNE3c7qKMwPTdu8vkqMTIZiaCWoDgw5mFHfqo1R3Pnd3Emoqrv9Nvku02gvIsi+BUyrh9mzacNcFtG0G09/E9mCaQwlMUkSn+4k1gGqMsoSwFwQeKTHI8BsrS8/5BU2QV1kvaBqpG0nUZ3gfevbfU1UjT3vPmteGmOfD8+BVCWLwX+NATkDhXIrgjr1pevcmZxp6qmlDBEEwAp5FyZh4PaKVoi5xtc4O3O3759Xu6ricvNtxutpS6RuaGKgMjM5wRtDpDyAiosRZTRmZvt3uPKjOM1rh5wa6Bqd/zuC5YqfhZu+Wmank+POL6A29evaHMNHro6ZTEvP+GynlKZcjyDNovyLodZdvggGmZyacFGSTW5Mj+CHmBHxfUFOUBoawIPiC1IqSdp2kIi0Uk9vR4QBAIUoK/7C9861P/3eo7PT9R+h8DzjQ5Kk2VSm39a1PUtTb1pV7qJ1IvAPWl/lLrxwhOrwFiuu/65+P6rk79axf+x+D02hCVfj5w6osQeT3/7XWez1siOsivt3NZIiBLTGtqu6eIqMPhYmqa56ib9CfpQAKxCaA+P0eDVHZyvaeOZNtGoOvchQnd7U5A1oBSmmVpeP06oywtIWicy3j1SvPwcJIInJb59utAeWrvJ/OVkoH9c2SDfYD+cImFlCqOXjUmgtOvvjoF8OsEDANFHsEqxL+77hSJNcc81tXDt1nTdBvERNeVqnb4oMnzjPv7yP72fRydmtjfzeYETl3geS9Y5oCSgbKM9715HRj6QFVdIq6MCnRdRt0U/PrXA3UJQkvu2hIlPV33zLJaht7QlB0mF/zstafK9wzDe6b1CW/BBIPM7xDKk4UWXWa8ut+cWPCFXDkEME+eulEso8EYjZIr0gu2m5xhvOUr8Y66NNy192ybLavwNJmkzHJckDRipaoFx86SCc9qJIfDgUxJ7DryOA1sM03h4WH3jv06cRgG7m82WOtxYUH7lbIoacscDkc8EvYH7DoT8gqz31M2NVoEctdg7u9wy4ToNV5ocul4PuwppYDDjmJdKbREeksoCsRuB3UFxw7hLOEU8yC0jGapoiB0HdgVVEZYls+ONv0uh6vvpT+VkvPYMq1PAbnm4txLjGq6itX6ouVJWtUEal9a/C/1E6oXgPpSf2n1Ak6/f4zUNXOaWsQfO/qTU/9sqFLig9eUHrsu4QNQnMBpMiIdO4GQJzA6hrN0IcVIJZMUwOOTOMdIWXuRzlVVBIIhnLJDXQSy03SRQngP262mbfVZ99m2EcSm9fVd4PExLv/P/zyyuhBlDMdOgIB1+dDohBDn1/rwEJnTzeYC/o0O53hJZ+Pvh8OJ1RxhWZNn+3PAFMAj6CmrGa0FWge224IQGvpOsd1e0hTqKg4y8D4OI5jHuMyqjmD09auYE1tVgqY9Be1ngmEQVLXh179qqCuJkCN5FhAisK4z/WDp+p7cBLRx/OxeUjcewREpJtbFUqqGYRmQusP5hsI4bm4b8jxjnRzbKjAMCy7MlHnA24Axim21wc4TeeZiKoPIuNu+5nh8xugCmWeIaYoZ8TKjNSv2JI8wueDpaWReB7RUFHVLISWtljCN3BcFZfaK4e1bbuuG1tQUuaHvorNONQ3ME0iBWz2MPUoZ+PprTKmxUuC8Q7y5ZRoHcqlopGSjFVoYdCmQ80TlAwbQQhDaDUFIZJETUnZaXRPGGZEZ0Aq++jUiOIJSBAKiyKFfvr1zf4+6HE6+I1S9FkSnFv41U5rY0zTmNP39O0ZMvdRL/RjqBaC+1F9KvYDTD8Fp+v1T06E+Xre1EQBcm6vSY5IOFBHBZYq5StucdKPL6XybwO7z80l3aWM7vO9BEEHbOH54bpymi9bUeUHXRWCYZHHpp2ki4LM2spchxP+TbrauL2A0hfU7F5fTdfG1GB04Hi/jSn/xi3ifVgHrInhLMoW0DVkuzqBwmmKrfr+P21MUJ/B08pMYHRnhPI9jUJ+e4nMWGxnZz7XzOfFpUs7k+YwxFVkm2GwCUg6Mg2G7rU45tJYin7HW4r2m7wzzqM7yg7qGL994xhGaVlBXAUlA6si2GiP46leeugZEoCjBe4lzzxyOK7gNt1uBViuv745smwwjjkDHYRyoixolbmizgnVdUQq2N7dsty1uldy0luAECIt3j/SHI1WVU+cVhVKYTYYPkmEaCVIgg+Zu8wqRGYR3tLWgrLY0OWSZYVkzxnVgOO4Zl45hnNDBk4eFRmcEEdg/7ymqHLc6yqoGPAue/bDHPz/z+v4Vm6JgnEeCMvh37ykBPa0oLbB1xbBM2EKhrGdZZ54PExWCTdNQjDNF06DWiQDMeJ6WhVErivlIm2vycUbkGUGcdBgCWBwiM4TpNNYsrwjT/Fn29HP1eQj6HcBp0p1+rPNJV34pZiKFHMPltuuDxh/7gPpSL/V7rheA+lJ/8PqrBk6vQWp67LXm9Do0/8x6yg8BrfdRW5rc8x+fu9LynY9xT+n+BE6Dv5h/punymhI4BVjWCEynMZyd+gn0JZY1BfBPpylPx2O8rSiuMk5PxM9+H+9LzGxyqifT0rJEp3oaIZoSdcYxbq+QFymAtbE9P/QRsFkbgXFq1U8Tpyipy2eU9LDTdJpxn4UzAFbyNG7VxUD/b94JxlPsVcx//RxrKs4/8XVa8lyQ54K2jQTcMEBR2HjREVbKsiOECWsF/dHRdQVSNjSNpq4CX7wOjJNgsz1lsfsAV5/h27eBZqtQakLpieAqNhvJ49PE2L/DGEmRN/zsVUaZ1/zsZxopcr76+kBbbrBWI+SKtQ4XMtrqhtvtDXjJ/Y1D4bF4qlyi83vqrMCvM26d8F5T5hukyplGT7AjP3vzBWsAiUermbK6Z5OV5JmmLCEvasRhxuWau1d/janvGA9PBBewy8DTsnJYRnI74ZRm3+25qTZkwhGOR0YFQgmyZcaVLeHrt2RFgUaivnqLuN8wzwuLXanvXrGOPYfZ8zyPeASq70BLzLggu55xXXhYZvZVjRgnCJZ+gS/6nvL+jvDwBEWBEAHx8P6sPQ3pCs99nj39Xu19ISH4zz8n5a+l2cD5SXuS2vfXep+0c6cdLv1/ff9LvdRPrF4A6kv9QeunBE6/y3Soj8Hpx2H8ycB0DUY/yDgN4Rz9lCKbkus8SdSsjSaOBHST+TcZpqKG9NK+T+sexzjqE04t/UM08qQQ+evlQ9SXJpAKEXheO+uvWdbjMQK19LPbxfOtEKfcVBvd+d5zBpopFN+fplPtdqdt7GOA/eEgaBpxBp2JIU0GqEs6geV4XOi6yFjmmUFJfY7dykx8T+wa0Ebw9i10XWC1AucC7hPu/FjyfLuUkfk0RiNloG0jKzuOniwLSKmRYsVkz6zrDkLDMBj6PkeIgboy1KXkiy8E4yho6kBuAuJkYAuAtYF37+DuPmbDmszR93B7K3l+nugPT/TzO270QlPeIsl4/VqTmYawwM3mS/bdDpOpU+pCwWaT8eWrDSFo2spi5xmylXF4QouRut7QFDm4iWk6UGY5eVZhJ0GuJeUmxynJOg1obcnye6QN3Gw0ZRFwXlBpz5plCLOlMobKOQZ/y8M3v6RbFqoso8kUm+1r3u/e4YPg6fhEbS0hk3gfWA7PjO0G8/hILQUqK1j+7F9gS8M4DCx+Jby+w88z+3nicb+HrmcpC+xq6TwUdsXMM8M8c9CKuxCQeII2PO73NFpRHDtwLo75FRF0h3k5X9UIAozf52jyiZIy7oBSRsnCdRlz0cmkv9O4Nbi0Ndr2oouBS1TH9SSpJAeAy+NegOpL/YTqBaC+1F9q/VDB6TUz+buOLv0cOIVvs6AfmJmILNr1utMUJ7hiTk/Zpee2/qm0OjWnrwL+EymTtm+ao3mIEHWPKUYqdQ4TOA0hMorX4HhdP4ylyvNLfqqUF1A6jpxHjSaZXHoP7u7ievo+AuLkak9jUN+/P7Gvx8Dj00mHWV2yUJ07Taw6gdnU5i8Ky7t3HX0/4SxkWUCpAuca6kp9MIlK6xhT1fcndnj9ze3869s2m+RNyWibHETPMAiyLAA5UgiyrMO5HW4dGcZA3xUoVVPkUBYrr99UDEPEHlURzp+V91F/+vgkzjFVdSM4HhQ3N4Lj88QwPHLo91SZZruZMepIuxE49wVhlUhtKKp7vBcMc48LDXWjuN8a3OrJ9SNj51DZwnTswR947gcEnvuyIAjNtirQWYufibpNAiLPKMJKVpYUtaff9ZjCEYJgWgtq7VmdJC8M837AW4sBGglTbrDTQl0WWCq0kCilURJudEZQIExGGDpqnZELzdDvMQjM+0dmVpYgkFozFSX2cEBoweHhiUKBbBqaZcbnGr9/ws4LI4Gvp5H3ZQlLR1uWZOuKdJ6pbQh9vNIRZY74+qsP9ZshEI7P39sc9fE1ePAe/HoBj9f1sUM/7YTpvvT7+eoquxihtL4wqUXxIaP6Akxf6idYLwD1pf5g9TF7+mMCp9fdtcR4flyfAqfXgPTjZX58bhLETNFrxvasObVXzCtRX5oqAU9CQH0kDRDiAm5DiCuaptgqd47PglMpIwC2V5ObIALKZbloUdNUpDy/bGdqyafRo2V5kQeUZWzrj2N8zHYT81bTuFQTPTA4Gzgeopmo6+L5dxji43wQ9ENcZsoynaYIGt++HTgcdoCmLA1aZ6zLSNsatK4wOgJyraNpaxgFwfurGCn4djv/cpsQcT1FET+v+zuF9w3TlFFWluAUeWbI8hXCiAs10xTBqRAjRSaoasmbLwzLHGjrQFUKpBRnxlwQeNor2k0UGlRlfH1ffJnzzduJbthzODxRl4qfv/6CdqO5vRuRMkNLg5CGICRFXhDCGxa7UDeOtowteikmcIEpDEzHJ25Lg5AKpTzvvvl/Gcstr++3GF2ReYELAutB5hl6XbEhULaBw+6ZwIK2geMkKOWMaVuqWrP0C4UAt3T4dSWsK43ThFdvyMucw7EDHGF1tEYjrUVlOThLXpWEvCQcOqRdWVcHy8SyaShDwNQFZa54/9DzNExYH1imhRsfMNpg+451nLBS8rwu7Nua/TITrGMaB24WSxCe4jQvVxBgGBDBn7PVQrtBGA3H5+9zSPn2MQEI6ioO6uNK7Yj05boWcWfZxc0Pl6lRabLUx7qg6zZ/amu81Ev9hOoFoL7UH6R+7OD0urP2KXCalvV9wOl52SfO5ePnXzOnQopvnYvipMcL8ybkt4fIWBsBXdTAXSYuOXfRhSp10XIqLc7dyDQRKgHgw+EiEViW2OK2NoLE9LikN+37qG1Nwf4Qf7+/j0DTrjGQPj0+nXN/8S8CQgqe94L9Pi6jaSKITiNYu+4S/F9VEQTf3sK7dxOPD1/h3BNN00JQDH3Nza0k+PUc+5Rl8M07wboE1tmznGOkruvSzr/+fmy3cZ1KxmlPSsE4aupKRaBenUgv37M6mKacvrcIRnIzkpWBN69fE0JG20Str1axNS5C/PDeP8SWfyAappwX3N/DfieRosUuI5uqYNN47u9bvvxSM/Xx4gQUq5twi8UHjXU5dZNT5RPLtMeuA29eb8mN4nDYI8MBof+EOtf4peO4rMhmwQcI1hNkZE9NqREuovhmq+if91i3UOUKzMLQdez9yivtyXRLHhw6z1jWFSEsUijEq9d4sbDvJqSCp34gyw1qf2R7dwfBsw4HsqqmOBwJIeCVRj4e8Lc1wlpUkeOaGjt1uEwzHR2266mKHD9MOL0y25l751mWlUOw/Em9IZsXjpnhl92RMQj+pc2GygbIZQzm//WvIMsI3XJmIMP+8G32VKrYmviuVRSRUj3pZlKEFeMYb0sTLVKL4ZoFTS37a8CarjiTq1/riz4GLiD2JWbqpX6C9QJQX+r3Xj90cPqxCz61stN91239z4FT+FA29rFT/1vMaQjfOvldM6fORTOS85zd+El7mvST19v7Kff/amOOp7PxsclR7/2FOT23vBeBNpdzYZIEpAlRT08XIOn9hW1t23iOvQanh0NcdtKvShlB7N1dZG6tjUAvBfBnWdzGP/szQZYJ3r2L943jKQngKM4s7jBclrfZRBb09hZ2Tytvv34EnqmrAGFhXnO27QFnK8pCxylOWvDuXWAafUwjiJ/y1afw7Xb+tbGrKuOAgs0mYorjIeayJhbZ6IBRgdlqui7QHyWSkrySZEXgZ1/comVFXiiqGgQr87zgg0WqjKcnQ1NrhBQUWQSnN61j9yRZFzg+C7ZtQ5FN3N0FNtuFuesJckaaO6y1DNOMzhVTP6HURJ0FlnlmnHqqasSuktoUNCX0HaiwMI8rXjjub1u27R2bvOVwHBHS07YKb128kDECPy2s1qGlxcmZ5/ePYALTNBPchBluuW0ajHPkWiDRhKpGY5mshrZgdQubYkU+P+L/5OcEKVDdka5qCI87LCCyjOLtA8X2Bi88E2C3LfPhmW4eeH7/AKtH5wXr0KMyzXroeDUv3GaGp8mitreUzvOmqihDYN49YbKMZonMrzAadjsEAbHMBO8JZRUD+x8GvlUqAtTv2t6PwPH06GG4GJ4SqMzzixMxOfeTWDuJutNOJ8TFNCXEZXpUArLXGqDrls8f+4D7Ui/1e6oXgPpSv9f6IYHT6235GJxe3/77AqfXU6aio/vEdn5i3R+AUx+1pemcdCZDTmH8dv3QpX/9/JR5mgL40zKfny/AdxiujElaMC8XU1VkBC8t+RAuuaXpvJkY1+S4tzYCynWNDOU4XgidxIy2TaA7SQnq+sLGVmU4saVxQtXXX8f1CXGaCHW86GuH4ZJR3jQRnFZl4PEBvvlmQcmOut4AAbuOtO2BdRUURYuQOXaB3ZNnmiLgtb8FmF5/B9omTpoSIgLVoojgNMtObHIV0DKQmTTKNaM75HjfU1WSuha8evUaoyqyTNM0MX5qHI44P+O85LgbybISZyvyIiMguG0dh6PAroH9k+OmdVSF5Oa25ua+R3iB1IIsf4OSGf2wkpcN3kJuHI4ddrbU2Q3tK1gmyzr1iEYhvCLXsK4zMlj8OlHkhkwY1lUQlEZIj3fxyyW1RIcFj6BpFMNqOTzvySuDEjmllDAvDONAjcNbC+tIMBVVGLFFhdSCVjuC16jjM/pPvsQFz7J7wjU11TARdPzSqG/ek1UNWZnjZaBqKw6HZ/q+A28xGG4zxboMZEWJHTtaLEVmCM5h6gq3rPh5wWQaeThQKsNdVTGNCwjJJjOYdx3kJ/Y0gbv9Hk5BY+fSJobtftfSJiYyrEtqd0CQFz1pakVca06ToPwasGp9MVJ9nIUqxIcMavo9LeuFQX2pn1C9ANSX+r3VjwmcXgPEdN9vAqcf603TMq7Babrd2fjLNct5vcwQOE9Bsu7Ccp7PLyGct+vajCSvmFVEjD0KPpxZzyQR2O/jc5M+tB/EWReaRqSm7UmAM2lR07Sm1M5PHcXULp+mi3HpeLxoXdP6q/KSpZoIo9TiL0vB005wPMbHf/113FaTibNMIDGwXXfRmyoVM0uLU17q119Dnq9UpWaZQciczdYwz3u00ZjsBm8l+318PAJm93md6cffm+0mnIf4bLdxzGrfRVyxrhGcZibE7Z6j6ao7SIRoaJqMprHc30qUzslzTVXG6VHzNOHFiqBiHGQk13xPVmdoZdhuAvu9wM6O3UPgbutoWsGb14Y3r0qU0ni3gswwecHh2KNzfxpz68lMYFkm/Bq4+UISrERpxbT2TP2ewmju2nukCNhlRRSattyiVEnQEm8Dzs3Mk0OZjJqADwatI9t6ePfMY7dD9pK7uqBCYHIDa8dhHch8OIG6A2xqsnklLwxhcXGUaF0QBKhxpC5LcA7vPGQ59D1TkNi2YrUjpiioipzVzlBk2N6jlaRQmjCDkQLvLGM/oIVm0QJRVFSHI08KlnHgMA58cXvD/TRjTMZoV5aHBzIlEfNEWBZC054iJJ4++iZcviPiu2SZAqIsYlRV28I4ItypXTCOcSe6ZlTTwSexotdmrWt9aQiXHTEEzjoTa0/ak6uoqRfm9KV+YvUCUF/q91K/iW38y66/CDhNQOu6vgs4PaHO35hxihDpYecYqbMb/7zgC9i93vZkYnIn47kUcVxpMjAlsDkMFza0HyJzmMDmNeBMIflpxKm1EXQmY1OKw0rnxePx0s4fhvi4lGMafDgH9Wt9AadKRQ2skIK8iBrTwyEu++kJds/ibIZK2w0RVMZIp/i+DH1c1vEYR58WOVSVxlqDlJJmE6lfkxmK7B5Cwe45risgmM4k2Ld1ph99c7jZXuIoqyoC7jS4YJkDmzaciaxlDvRd4LA/6UdrzWajubvx0Whdiji56gRs0QE3wjQptI7vi9ISKRa225LnHfjV8fgQuL9x1I3gzRu4byMYlyZnnT1KC8ZJUBWaYZqYR48Rlkx71kmw2QbGocOIGZNBkRsKldNWNdrc4BaLKVeOh5F19cw+MO4PLHPPZAR5XtAGOPiKprKs3rKMe9AwuwVlVyY/I7KCpV8Qq+OmMGzvXiODQxYl3TgjqhwxTKyHZ1CQOUUxTnHCk8ng8S1+tqjgWQ5HxrrG9keE0sx1RbVO1EWBXKIx6hjADR1ea+zhmeW4505pvICpyhmWhVZJvsgynp4P1HnBGyUx1oMIyNzgOgvGEJLWRErEYf9h+0PID4HfZw5ul1tF/Evr+Hvaea9d/E0Tv+TJaSjEZZRpYkETs5qAaWJL08+1szCZos4Oxysh+ku91E+kXgDqS/2F61PH7z/WxfznwOk1y/ebwOnH9Smnfrr9mulMDvxrcHpOr0kcTLhICs4xUiGcH5vY0Y+BsNIxhzO2Xi9a12Rg8v6SHypkjJPq+3h7UcTz2mgn1wAAIABJREFU2nVnMMVGJZA8z5e/0zn1KnnnDEjT+TURQVLEDFOloi406VLTtKZpim71LIvt+XmOz394jCxq8oykKVBJjpDnMbs0gWfvYehXvvpqoaotda1ZZoEQNU3TIYXG2pWmvuN4uGUYDV13Yn0n+Fw7/+qbAsDmRKa1LQii1jRFUgXn2W4+zLDtj/4Mgusq0DaB2xuBVIIiD2i1IpnpxoBRimkMp6lYPrbPjUcrx82N5nkX8Itl9+i5vwmUJXzxJlBXC1kxs/iA7xVZlrH4Am0W+t5yOM5oDpRtxjILXt0VzHPPtH6N1xJwKAxllsVpXMtMWWdIMrZNxbw6un4mhAXnZvJyQyYXrDME15MXBdrP6CJnqxtyJXj39hd0w8Dz/pGtzmmNxiuN95asKaNeGsk6j9hhwLGilGbdP2GB9u4O9fXbuL9kBverd3RlxX44kmeG/M09+TIyO0u9zGgvmRCEeWIfAlV/YO07lMkZ1pVOKVbrGZ932Lpis6z8fLNhNJqs7wllEbWmzztM8AgfCNNE2N5AnhMeHhDhSmcaPBRXV3W//agD7YbgTjtUmnSRWgnXLKnWpy94dtnhlIpXhUpdrk4TCDXmlMu2xOfBh7FT1/+/1Ev9xOrlm/1Sf6H6IYLT6236HDj92FPwncFpiKHv3l2ek0DlBwH88hINlR57DuBfwgcAOTGgaTnex+fDKUvUheiyDhcQm0BnCBH0dX18/NBfXO9FcTE9XWduTtMlzipFOSWmNJmC4ZJxmkDpPMcw/aq8xGMpFZ36Kfi/rmOKwHylYX37Nq7r2Anev4+gryguI1STvOB4jNOflLwYtpwNjKNlf+io6pG2FnR9oCoLsrxEyox5XLm71+yeMrrenE1c4/LbgCkkcNo2F+2sVheW2buAszGBIH0WELd1v49JC1UFmzZwewtSBvJcoLVFqY7JLogA/RSYZ41AIeSIFB6tBE1dcHySeD/x9H6krBxKKV7dKqpSUJUdjoVp8Fg7MD1DbjKcBWsVhQ4UxuHdyt22ReFQ2USR35NnMdaJMDG5ATdKilLQ9TNKGIyqUaKgLS1D72lvNtRZhvCKcZ7ZtApsTzA5xgSW0XNrDFO1oT/seV1tuCkKbrc13+yOzBtB5gIugPQrbg34daapCpQUBCGZtWT59a8pkNGw9KtfsZQl3dwxyYBoSuz+ERdAy0CwnsYFjFSUdYOfJszJ3bebRybnUXVJNc/kRYmWisM4ca8k5TxGJhcQmaYUkAlBWO0ZRIrnXRR5p30+z6MS9STgFokZ/RxQVRqcjSNUfbi0K+Y57hRJlJ0OFEVxAamJpU3TL66johJwTY9P7Y9rN/9Le/+lfuL1gwKoQogG+IfAfwDcAf838F+GEP6777mcfwj8A+D/DCH8zd/7hr4U8FcDnKb2/TVzer2MBCqlvDClUn14vxARaF1Ph7oGtGm7Q4jgjhM7G1nTD7t31zFQCHFuj0Mka5LhKE1QTKQNXCZLJbY3aUqNuRA0Se+awHQCqOMIz7tAVcZlJF3q7W106q8rbLbizMYmqd27dzGdoOvg4eHCkPb9BWg7F98ffXWODj5g17juvpuRcmTTVPS9oK5Bqx4tDetacX9f8vgkzqNWfRAncAq/jTVVp4SAqgzc3ERWWGlB8IF1iZ97AqfOxg+p62LSACFQlYFNK7i9i39nGeTGo3PLOM5oVbFaybp6nB/JiorCCLRxbFpNf1B4H3h62FOUM3Ut2NYzRVnTbjTOzggylvGJ3f6BYX4ED/Os+Nmrn3P75Su0eoVbO3J1SkXyhptNBs6RlYGHp4l5OfL6tmGdPMFLeuep8py2VPSLx5Qlws0oHB6ByRaWaUaJhixbCGNArSNIQykFN9uKQhmaqkFLRdV6pmVESIW0M7jAenxm1YKMDNNPmLpCfPOW1TqyaoN69xZvMqwSIEGZHIEn+JXdvFB7Ty0KlJLUBOosQ889wltWYxit5cmAsitYT5kZ5NDjnI96VCtQlcApiXneUQgwAsI0xYgJkxF2O4S72OfCeoqquM4r/QQ4DZx29BCgqjnvrKcdVSSHXWJS0xf/Oug4XRVeR07l+UUekHbcpKVJlQL804EhHUxe2vsv9ROrHxRABf4U+DeBvw/8P8DfAf6ZEEKGEP7pd1mAEOLfAP4T4Js/2Fa+1F8NcHpiyz4nFTjHSKnLQq5d9t7HVrGzl3Z6Yk4/kLidgK3zESCl5Vy/npRT6hxng9XxwAdxTCnjNJl5rkmZU0Y583wZTZoAbJrOdP1/atfPM8xTDNFP2amp+3h7Ew1CCEETfSFncGqt5eu3K9Za9ntN32csiz6fq88yBxtNXsnvYdeAPI00PR4C1gkClrYWjJOkrgOCFaUmjseVu3vBw2PG4aAZJ8FqBdbBbwOmELWhWkf2s21PYN6IEziOutLb2xA7r9bjnKPvFw6HmDl6uzXUleLuNgCxrZ/ngqJWjJNFILBWME+x5Z1lkCkfx4tWnuPe4xfH8/NMWcxs2oL7V4Jta2hvB8ZpZlk8VvQ87n7BNPasfmE6jNEgtki6wXBT31JmHqUsuRYIFoKVZBqm0RKYQU70vUAoyeQ03q6UeYFUBSbPyJZAXiimaUIqRzc/02QlWZ2z9EfE1IGAcT6ShZl5tGzvaoxU6KqgFAs+KJZxxGiF6I+4ImPxM8fH9xRtS7V7wo0zsmqQj+9jHFrb4u2AzHLINE/9AUFgPh4QXqHvKlgiEyl3j/hDh1QSbQw3mWEQgenhPU3Tki0Lkw+ousHMI1IaaiURy4xwFuldbMM3DUFIxO7p5NI/aUjzIjKWp1FpYhrj1csHYvGr8i7qVTeb+K1SXK78MnO50ks74jzHvLIESq9dlKl9n8anXbvy0wEnRVQlVjUdSK4dlC/1Uj+h+sEAVCHEvwP828DfCSH8s9PN/4sQ4q8D/5UQ4r8PIfzGxGQhhAb+CfDfAP868OoPuc0vdamfDDg9TXe6jpG6Xmb6O4XhJ7Y0rS896ezC998Gp2e29fQc78IHmacfbz/AsoorNvbDjNOui+fEFMmUgGcCwcnQNE0n7WQfbzMmnj+viZz1zFrGCUzTSc+azrVFEdvwTRvHkUp1cd2n+7ve8fZtz7pOHI+C3S4ABUo1DIM+Z7XOpxGmVRV1qwkg2zXw7p1gXeLo0rY1HI8D240D4cnNkd3zgc1mw9PTga4vGcYW5zTO/3ZgClCcMkw3mws41ioQ/GlsrIf7O39+D1fvOHYdx8OEs4GbW8jzgtu7BlAUeaCoFGXusTYghWayUUdrnaDIVqQOFJmmLhz9MWDnGCnV1CuZtNzfBTYt3L8ODNPIOI14YLd7x+751yhZMvUjm6ZFqZkQAmO/ozEOYRywZVNqukHj3cgwO5SR5LmhOxyQZc20Cuyysq4jzjmEdygvuGtz9kNHkCvD2mGE4PWXb2hNDsLThRVlQ8yXXXNEE5DCY7VkXfo4eMBDmSm694+EQnJXNxT7iTHLODw+4OaZbdWSD/HKJ2xuCcuA9QuHPIPxwG1RwtRhqwq9BOwwUuQZ/tgjQ0AZeRZBN7c33D488nVW8jCPyK6jNjn3AozzgI87xfMuMpr9ia7fbMB5wjAirEUoebo6PIG8wyHuDKkNn3aWdb36BonzDieMjsxrMjklF11iT9NOnHSmRXG5cqyqD8Ho9Qi5a7NUArCJWb3WBr1MkXqpn2j9YAAq8O8BHfA/fHT7PwH+KfBvAf/rb1nG3ydKA/4B8D/9vjfwpWJ9zJ7+6MHpaQEftPX5BDgltt8/zscOITKfZ/B6ZZxKbey0PKVPKz4BocSuXutEPygRc0tTTVcGqGQ6GobLhMR0Lk2mo8S6JoDcdfE5KXIxxTMm9/00hrPedBzjjzERNBY5VHU0PqXbkwY2BMhywbGDx8eFvp+YporjUSBEwLmBec6QQp23G2JrPW1r8IFpFXz1a5imwGYrKIvAOGhubwsEA0LMjPOBqr5hv2/pBoNzA8taAOYTbyB8DE6rIq6zbS+GqOACnov84f4uRkN5Fy8OuuNMdxzwrubVqxO43Y54q2k3NVket9W6GHzrrMHaknHsKUsQMqBFRltKhoNlXgSHPTRNIDeCuhHUG8mbN4FlmRmniaq8YxhH7DLhV8c8D7RVTdNIptGzLkdEKRinkTy7Q9k9/VCxqXJ8MPjMYZRkWleOSvHNLkYoOCeQRsE84Zst21YyTDmZHFEqIzMFXoB2M8FbMiBHUcrAtqhQRiKEpbMSERYWL5jmidJIlvcPOC2Zpxnvn6mrCjNPdMtCJjW1c2THA25zi19GJjzTzS3u4dd04wRqoRGedo3ffR8inZ9JS+iOBAJBauRmA/OMDoFGSUw3EYqSbZbTeossKkTwiP0zwjvEctoR6powL5EdtafMNbtAWV1iKLyP7Yg8u7j0rlz+If07TfE56YBwutITWn14tXntmkwgNV0VSnnZYdNB4/rAkg5m17mnSZOa2vzfmqH8AlZf6qdRPySA+jeB/yuE8HEv5X+7uv+zAFUI8a8C/ynw74cQOvGyk/5B6icDTj96IZ8Fp/ISDQUfgtPgA4gP2/HXINXaE+kixAmcXh5wDWLTOeY64xQRSZ1EqCQ3fd/H56Us0nWNJEzSjF4n0lyD0xQjlUaVXr8fWkfGNAbOx/WM48lolUd9aZaLc2dxHCMghjiRSp0Ind0urnccLcej4HgUJy2sOGWXrwhRRgJMhzMWWOZAlsdIrF/+MiCV4NWrgCCG7N/daaxrECID8YQQGw6HDfNi8EEwjJI0I+qjb8mHn/HJmW9MxBXbTdSZpvGsqRtblx6tBc7Fi4NxjCkC3glevYqpBHe3p3z1KlCU8bbVxszM1QqW1WCXkqYxGL2iEWw3hqkXLFZy2HvqwtFUgk1ryKuSV69GlhUGP6N0gZQ1Ujma4pbj80hZWkzlmCaLBN68ukMIz6ub19zUNZmReDfgfEbTVJF4ywLvn2ZC0LR5gfXxImnp92AMVWZxxGD4epuxKSoOU8HUv+ebt2951dR4DMwx1D/IwDiPjEEgsGitGMaFeR6xDz2qzlnXmemwY767pxKSfBjwKqPNcvTDA3ZzByFgJUxFxU1wmLJmhyAsA5lTGK0Zuo5BKbJxIHt6Is9UvLDbNMgiY/r6Eas1X2KgbCAzjPtnrFCYTJ0jK4QAVhsHAigVvxanEN+UcSq0ir8dj2AMokxf8DlexaTw3ij+vrT+b24g+KgSECLuZElPmlr66aoxhIv2Jl0dTlM0VqWdIckBklbnGsQmg9Q1w3p9APvsVe5LvdSPs35IAPUe+P8+cfvT1f2fLCGEBP5b4E9DCP/z912xEOIN8Pqjm//G913OT71+9OA0TYr5xOv4AJyemNKP2/rX06HCFbD8ltHJR7CSYqBSTmiKiLqOh0rLUCpOlErSyXQuS8sfhsuo0nGMv8OlLX/d6UvAOOWcXofxp06h97GlTYDD/gJgE0OrZDQtTXMEpnESUux+1nV80+b5wtQeDvF5XQf7vWa3C+R5YBzAWs80BfJc03dx+lLTRLZ2XgSC+Puf/bngZhsoi5j12XfwxZcwzwIpNVWl6XrB7vnIMBqkFAyDP32g14eybwuklQgYc9KcbqCuVpydUcaxrgolDUrFiU95Ls45sf3Rs6wCj+HmbkQrz90NhBCoaqhKRV4I1iVqZ9dVMHSe1Qra1mCUQmLYNo6uS2kHnip3tC3c3Ek2jeDVG8k4EbWqosKyQJBkaAQtr25/jskngh+Y554vX72hKWoqI9g2LUUuUThmD/gZJYoYK+UUIQgyleG8JM8lYV2p6oZK+wjappmsVXg/swaw85HDfk933DHuFfdlw5/cNMgsY5h7jjawLCOTmwhe0PUj8/6Rv/bFz6nLAjV1PAXH+7FDHHYopamzDPPuPeHmBo8E7elVRj916CInLwvu7Mrz4OktDGOPMIKsG+mWgTKTSOvQeY7MM8I4sZossqTDcAFzJmMNUGUG8fgQ7xennbduooSjO152Mu9hsyXUdfwyp4kRmbkcUJILMV1BJlNUUURgawF91WaX8gJA05VPcu5DvLpL4u8UORWF2xdZQJbFK88EWlOofwKpaedXine7He+fny/zgI3hF7/4xWeOni/1Uj+e+iEBVPjUmeW73fcfA/8K8O/+juv9u8B/9js+969E/WjBaQiJkPzNhqiTe/6TmtMQPmROw6fBqQ+RKV1tjJKK4PTDLl/yWqTnKR2jitxVTngIlwD+lHGaZt0nIAgXp34y/abXnc6ny4n9m+fLqNK0gqSzTK77BE6PhzghydoIHIsiutgTCG1acQaqaWT48/NF1/r0FMd+5lnOMvc4Jxh6T10X7HaGLIvLtGuUEkgZmFfBN28Dbe3ZbATLCRy+fiPO71dZCfpR8PBUME6WEAaG4WRuoQAyvn2IsMAMWLJMY0zGplWU+Yqgw4cJbx2CGWcV2+2WvKiZR4V3gedngT0Zue7vMrTM2NwMOBRVFcjzgrzIT8auqBHuDv405CdgpEMS2DaOfoxO/v2To6oFmxa2d4pNu/LqVc+4WISQJ2OexFvBuHzDNC04t9DWhrpocH7l7ueGIqvJWQlipszjVYk74ZZMq2h2EwZcQJsKo2rKbcY6zujSoFio2powzdQbhQuCw6QI45HueUcmJGVQ5EohwoTnFu8s1kiyELA6oLxhP/aE7pkpeB6mA2HtmKzFZDn54ciaZWityZ+eyW83OG0QOAYCg/Us1tE7S9kNZEApC4IboCrYWkueG8IE4zRhijwmAXgH64LWGp53+LxAlgXhsMcrhbYeMcSxZCLEHSuUJ6FxcOf2glOSxQuc0SghyA4HdJbF44SUFy1M153e2IyQrvaAs7MuhLNGVRAu7Oc1U5paFU1zeU4a71YU8XGnCVTnA5C18WrwOmT5Oiv1dID4R3/6p/zn//gff/vg9lIv9SOvHxJAfeTTLOnd6f+PZ9EBIIT4a8B/QdSfLkKIm9NdGpCnv+cQwvgb1v2P+Lb29W8A/+N33PafdH3Ksf/HqE+B0/T3NaBMRpfEWH7WECXFByNK0/8JGBKiBjGED0HmtUQsZZb6EIHM9djS665b0qOGwDnjNHXoEvi91o2m5/R9BJxKcRndSTy3JeCZuoMp6D7JC1K4vlLRiJW6jHAxTa0rjEN00h87EZnL/sSSEgmZaYqscnGSBuz3F5/G+/cXcPv4EBnTIld0XQPBME8Wk2m6LsOYOPaTEF+HNoJxCDw9evJcsN3G19s04nxOX22McHr/EGOk+l4TQsM8Z0QAqona06t2JwAr0CGYyDOB0Z62zqnKBqUW1nVCK8OyLJjMonSHMY6+CyhRsdtprIsXHTc3gbJQbG+3eDdTFJa6MWhlAI2Q4FbP4RgBdVM6lAgI59icXtOyeJ4eZspyoWwCVato25xXr1eGxZHr4vTdgP7whPML0zgyLStlDnVhMCbnzaZCi5xtZSgyj5Mj0zggjUQ6T5FnVNuKNWiEc8yzAK9pNg12HtBSoaSnaTZo5yk3WRwEEQy1HHn79A3jeKARik1VkvnAuKws80CzucX3DqE8y+BYFkuzTvh2i7QLcp7wZYkpMl71A6+2W7KiYvjVr1jLgiOSdZ7wWjKXBbfCM5nA9PTI3llqH7jJchwV6zxj1hW6AzrYeAFQ5MjcEJ46Ql6QDT2F1gxSIt+9IzhHLiT5dguPD4jMIKbTVIq6IWiDeHwE57DLQu8t0+0dQhuCEBRa0QwDxlzFO12zlcsSx7JWVTx+bNoLC5oY0SQGT78nAXoaTZoY0QQ209jStENd55smvWo6cKSrzPS8k5P/7/7tv83f+lt/Ky7/pKP95//8n/P3/t7f+8RR9KVe6sdTPySA+r8D/6EQQn+kQ/3XTv//H5953r8MlMB/ffr5uHan2/+jz604hPAOeHd924uGNdanwOkf4635HDgF/n/23lxJkizN0vvupqstvkREZlV1z7QAeIF5A4AZAQ1QIwIRDAjQeIMhRgQ8OFB4AFAgITJgwIKaeYBmpqeqMzMy3N0W3e8G4to10/CMqK1rpmuy/Iq4uLm5qZqamurVo+c/5/xX5/26HA9fAaeXP3KJfb1MZlxznOE64zS/97o7VLgAiuzCz+B0zbBmbWiOh8rh/a+lYpkYWZf/T6cE/IRIjzNrqVQCnrkymKuIORs8xlvb08LE67VtnXG6LEn7mTshDeMtmD9XO5s2aTAjt+tkTguY59Qd6nxOMVRPT+nzS5namxqjOJ+bC2gXGB1RKu3oaRZoHTkdA9Msrp2oTifBZnP5LqRgmBI4/fSUAO04cjFladLU9aU7p/zcgmSiMDVNlcxIUg5oXTDPDiki82wp65lCN5SVZOg0phj5dDDEaAg+smkjbStoNp7gF6ra09Qao03qUy+TjvXlBUKICZzKiIyedisZhoCdPE/PnrLoqbeWsnQovVC2BS9nD9FhhcK7gLeRqT+y+BEV77hrDEWx0J9P/PKDJywN0TgcBUaXGFFTbg3eWapKU7dl2jfeM1+SHyoV0aIkSnDepYSj6HFEluhxg0UC2s5UumSwjmgUYZ5whWGeexa9ZZkjUYASimmyiPORUFaUxiDCAkrgJahPz2zKEm1K+Pgj3gcOi0eFCS0jfd0gTs/c3e3YWEdZGPrBYoRhIySL1rjDATWeQCp8EISyQjdtOgCNQdgFs8y0SlMEj28bpPUYbTBDCtmVIUVSxLq5CK37653bUpZMQdPKBApj3zMoRVmVmHwiKHVz8+XODdWF9byU4eM0f85qZlF61tnkEsc6ZDiXHrIuZx0RlcFnjJ+3Ps0ygXUJ5/Lz4eGBD/v9RVidQnv/9m//9gvnxk/HP/vX/4Z/+6/++e/12rfxNv5Tjz8ngPp/Af8z8N8D/+fq+f8R+Hvg//vKcv8O+G++8Pz/BuyB/wn49Z9uM/9yxp81OH3lvP+t4PTVRv8EnMZbOT6PL3WHkkpcVxXcraNU1ne+7g7l/Y2lDa/Y3HyNydesrBkVgqtZKTvv+/7WfWnt1M9m3twZKl8LpymF52eTb74eSpmkB87B+SyY5wSyT6uM0+0Wykpcs1TXIf/5mpkzV7tzMlZ9/Hh5XYzXfWGXiLWJUdxuLzILKRLI8YGn51Q+j8Dju9T69O4uRTKVtWAYE6P6/ffpvY/HmyThtwPTBBK0sBQmUpapgUBRgFYCu1jqSjOOUJY2lXZNYBoC2hgOh4i1qTS82wu2e0VTW2Ls0GamKsEFiEtFVTRMk+F0hGB96kIlPEJINi3MU2AZPS8vULeOtl3Y7Uuq0nL/DrrumeAGFrugY8FiHUpqzsMTy+j45TtDU9YsS6CoetxccH9fYkqB8D0uKkohcd6hhKesEqjWwjMtAucF2s+gFYWSoBs2haPvO1yYUVoyfHxGKsFWSaRQGD8TERyePrHfb4nOsru7w1mJLhU6Go6nAdWfeXGWXVlioqWtK4LZYg4vOK2QhaH/+ANycYylRnrPvqhR37xHvDzzYhfmfmATPFoqvCjYeo+SiuJ0ol5GuihQIWWmNfd7qhx5oQ3i+SndKRUlvDwTLwe4sDOcz0kGEHx6TVURfUAst56+3lnE/X1iHYVAGIOYJlzWkgqRTrgckaFUAro5NqppLidevILK6zQjZTqRcoeodQh/1uLkSSDfDea7WCnTSZZ1N1kqkAFsZlGzXud1QP8bsfI2fkbjzwagxhj/byHE/wP870KIHfC3wL8A/lvgf8gZqEKI/4MEWv/LGOO/jzEegP/39fqEEAdAxxh/8r+38ceNf3Rw+hXn/ZfA6To8//UyISQZwGfM6Wp8tTvUhanN15F8TcnxiNlFn0HpqmPiZyTJGpzCDfxBYglzlyVrc3n45gHJ5X+dSLIrwTNNt9D77NRfm7uUjExjMmI9P98AcWZipwm2O3GNaUwA7iYVyK3DT6cEfjOj+fKS1r3MF3A8RqRMcVOQAvCtExQmskwBIQUfPybNrVKCx4e0jvsHQYiCuhKMF6CcOk85xnHBOYe1iqQ1/W2GKEGhIkYrlIa7u4gUkUIH+s6z3WmWpaCuSnwYMKZnnhxS1hxeNIIFQaTZzrQby6bVhOgxamR/t0EIQQiRZemYguZ81ojg2e8SMEQImiYyD57FCl5eoN0pdjuLKQTtxrHfLxhTE+3A4DTROUbbUVd3jEuPHSPEM1Hs6QdPXY/M54milZhKURuHDZLgJ7oZpFrQleZ47ijKEulKoigxccEjEdYjCkVbOvrF4dzE/mELy5GT1BRhQuiW0i8cl4Uw9OhKMsw9zXbLrmppmxolAzpWbKcz5YdvaZaJMI5UWqLrJpXHi4onKfn099+h5hm2G0I3sNvtkN98gKGnNpKhKOiGDm00wTpKazFNixh6lA9slKZ2M04bdNNQAWqxydQ1jri2ZXCO43e/wRPRSGTVUIw9hVaoxaLnGbPbo4W4xV5cAKCuSpCCKCWi6whCELVGl8UtKD+LuY1JpYLt7trJQmzay4mtbiX9df5pdj7mfsMXoHy948ulmAxenbtpVTMAzmMtdq8uMRR5+fUE9ubgfxs/s/FnA1Av478D/leSpjS3Ov0Xr1qdqsvP263if8Tx52CKyqD0a0zuT8CpEL81aUVw05R+0QzFLebpGsAfUm/4mKSTV7CZy+rXbkxBoM1X1seNlMn61KxfXcdIzXMCpNm1nzWiudKXpWoZnI5j2j/WwjJzdZ7n18eY5AfaCMYplXvP55uzP5FRAh+g3dwInvM5VQtzlVLrJAfIrVFPp2SmOp9vTLRd4tUkdnxJjOn+LnVRcjYQXHrdr38DWqf4qbaFl6Pk/jHdUJgLkdQ0iZU9nx3OdfT9CLnbDxWQwvG/cMRgREoJKMuC/b5Eip6mhq6LlHWN9wVNoxGxpW0Fw6ixznF4EUixUDYFMVi2m5F2IwkhoLWlaRVSetwyYZ1nsQuHs6IpC9rao5QkemibyDymNq0vR0lYL9ffAAAgAElEQVS7jbz/INDaUNaWx0eL8wJJYJ4nVNRoXSAASUmcRjaVRps91loeN4JD36G1pK4MdeEJMeXuWh8wZaRutkgiCDieJqqioNGOGAUyeqI2NHomqBK/dLQ7TSkd53GhCFO6GRvPOCHAWb795h3jMCMqQ8CmNqTSgxfI04n7b+7wUfIw9ri6IpYaczoiQmCQgunTJ3bBI+7vKaLkWEjifouYBpQICKNpo6fRiiJCHB3l/T266yBGzHQmAkWVGEuxaZGH58RihoBfZs4hcJgmeikpQ0Rpgxo7nk4nKgJtCMSypAyBtigx3ZnsPhRGU2y3lEIwhJCc+ONEXRiKDPzu7tKd08UVH6W63cm9ewciHetX5/+y3MBm1uX41WSjV5faPEllJjTGdMJZmwBoZk3XmtNczsnPr/Wxa7D6Nt7Gz2j8WQHUGGMH/C+Xn6+95l8C//L3WNd//afarr+08Y8OTleg9HeC00skVH7+M3C6WvhrmtPr30JcwGm6+AtSyX9NXrwGp/Mirn9n8gRuWswMPvM2rTNWc0k+X3uyZjTGW1xTrgrm5fK1LIRkbMqgNmeeXmVr1/0nEFLQdbfyeA7fRyRmOIQbKZNlejnxZlnSupxN7vx5Tnmpyax0kyNIES/X4kg/pO9j0wbGPt4iIBH8+79L29e2EJDMFj58I677JO+/jx/TvljmmXEagYYbQO1JpqgVw0QkgdO07raFtlFI0dBuBc9PA0oJBJLSpIOgbgxC7lGyoDuecW5htzOA5P5+Zn/XIkjdL4V8QjLRdx7rJkRwPD9PbAqoTINSGkGkLS3TILEWXk6Ktom8f58SCDZtycOjpTufcW6AZUGJFh8sUiRNrVgMTaMo9IbgPW0xEX2gKUq2taFpFWN/IgiLiBJdFcgQkSEdmHaKhMXiw4jYbIgxgjG0ak7h8d5RbRVj94Q7A35m7gdKJZBlhbMLSgsK0xBayeSHlJhgn6nUI4xn9H6LCxK5TJgYqO/3yMMzi/V0MfDpN/+B7vmAvLujtZa63bB7fCTannFKzQ/k2LETgo0pYQnQNknLOQyo7ph8RDJeAmtb5NgTlU7tSZ9+ZCkMk1QY72iUogiecZnwfc8YAkYm+5wsCjrnMS8vmBhvJ2ZdY4JnU9UU44hTOiUNFAV6HNPJlA/4/T6djJk9FZeDbJlvk4MxST6QT9T9Pp0YOUw/Z8E1TfpM+cTPy2dj1LqdXGZgc/k/uxbXd5/wU3D6BlTfxs9o/FkB1Lfxjz/+UcDpqzf9neD0UnaPr55PWaM/Xeir4DTHdItUHoefGqLWrvdMijgvrjFQa50q3Mr9WU+aS/urRjTXUn0mQs7nrK1MjzP4y+SMEJdyu41XMJu1nstyq0SmVp1cweeaKc3AdJwSyzxPaf258rgu5UuZyvgZeA8DnI7p78MhgWOlkgM/a1dDFKm8T6DdpHU5n1hlH+D7v0/a1naTZAQEwd3djXjKfpRPnxJbGwKMk0tfzhWcXr6sayj/7SiodLr+FyaybSNCCtpW0A8hyf5CpDQdEU9dtghhOB0Wnp4nfIzs7wxCOqpyoqrEleUtTUAIzcthJoRnlKw4HQW13mBKUHqBqKjLyDhIbFAcDoF2Cx8+CKpWsdtGfvVLjV1a9rXj3EcW65FSEp3DWkFwkagOlCoSQuSbhy1V+YAgopXl8WGLQLFMz4klbwqEWFjmGV+VBFcwdzMxCoxJ7LJUglIlMOSDoCgdbhxw04BdFsI0ghvRxuCUwnuHFIaiSmXsQjyiwwt1WdD98Inm22/QPlLYxITqbUV8eiYuM5bI8PIJceqw2y119DzNlnC3Z+dntqZOGtnuQFGWVNGjlMGNQ6p8zBPxcIRCoqIlKoPIIffLAmWFeH5GNDXWeWR3QsXIJAS0Df75mYMPHOYJHwO+3aB8wFtHczrSXsoBoioTSGwb9GLRZQnjmFqh5rvMd+/SgZ6zS9canM0mRVcJcdPdrIP4s4Y0A88VKL5OJBl85nDhC8hNJ/Hlkpyjp9YdpDKozdKA1yX+N3D6Nn5m4w2gvo3r+BIg/E/9Zl8Epyvn/Rc1p0TkGsO8Wt9nywhxBYwxpAXWGad5vAanEfFZd6j8/zWg/axVN583eln7Iq6yAH8Dp0IkI1A2D+f0GSkT8PQXTHapgl5d+32XzFBKC8Il6D9/1qs+dRYsFhZ7a3CT80hzy1MpLxKIkF6Xr4GZMQ3hEiM1CZRMzn0pL9FUMjL0gboRFygpcBcyqO/hdBZILdjtb1KItrxFRFZVqqY+fUqMa4zQD5Cmp3D5EZffkVTevyF+RdrWugzs71Ir1qaBYVhw84AyLZudQBAIccQHw9xrDmfPZGe+ed8QkTRNoKqeqRtQ2lKaGbCczxaJRsqG/qjYNIZCa8rSEu1Eta1YltQh6niCdiP48AtFoRfaeuR+v9B3AhUd1jtiNAipMEBQe0yhKTaWuo74caBtfbopUQJTSLb7lkrVSLlgfcv9fUupHJ6Kw+mJ51OPCjPBR5rSoFQy8hSVRESJLDQlM9aOxKnncXuH789EJZgmaMqWpqqQhcbLQNcfGOdAEUfqQhLPI5SGQ9eh5gWzaZB1SXx6RiwzDuieP/L89z/g73fU3jPawGg09vjC5v6R7X1LMfYIbZAEhNQsL31KSzmf4XzG1JroA1Hpa8lb2ot+c5wQRSqJa9sRlcIIKFCczmcO5zM9niWmoPugFEWMHM9nagHaWnSMlGWJKUw6t7NmJgPErK85Hm9tTPueWNU3JvOiDY2Rm7PfOairz9u2wc3lmOOiiuLGqnp/K9/niSX/ne/a8p11nhDypLKeeNaTyxtAfRs/s/EGUN8G8HW28j/6m3zh3xlIvt6Wz4Dm5cVf05yuWdPMKOby/VqHmpnNvI61yx5xyUnlVtZfg9NclRPidk1aryOP3N0wP86ygPP5BiLP58Rw5uvSPKXc0sLc3jdXDb2Ll+UFRXFrNbre9mFIEoQc6p9/D0MyIGmdrpvOpX0pZWowEMJNq/vykrbLLpGnZ5H2W4j4i7RiniIiBoZBsN3CMMJ+L/jxx4uvpEvaVwS8e58MQ9vt5+aw7RZ+/JhAcL7WT1enviFpTgduALW8PJ+GBgoduL8TbDbiKu2zc2AaLYURtG1KBxr6lFrQDYFlEpyOlm9/IYlINpvIdisxRYGbRnT9I9M0MQ4BiUHJkuNB0jZbqjIxk9Z5mrImIJmmePHRCN69lxi10DRnHh5mhm4hhA7vLNMsiN6iVYGnRseK/aZkt2kIi2P3bUNUEO2AKiObWqCiom0Uhy7piSudtCNGKErT4GdQsqSuJciagkDZFCi/QFlShjG1kn3pUBIqOxNMiZKgpaQyJXeP90ijWJaRcZqx49+DEozPJ+rtPVEGzDhxDI5yU1G+PCPswhJgPHxi+PRMv23x4wRC4ssUa2UE+OiQY4/wDhnTyWdPU2oj3A+IeUYVinAaUE2ZWMuyQL48JbC62HRymCS+rgQ4oxkWEJfss9Jo7oJgNAFdlByDZ1wsMXj6ZaGsa4geawxbpZKCuSyh6xBG3wxK9/eJxi+KdIJcWp9es0/b5paHemFJhRS3Tk/ZFGXt7e5v3cY0M6s5XiPGtB3rFqZ5EsxsagbSeRvXDGrOVH0Dp2/jZzjeAOrb+OL4k8x3fwAlewWSkZ/Y367gNHxumPqt4DTeQGlmSq/MaVyBV16BUymuhqgcO5UzTrNELC+TwenaCHVdj7gxnfl9M1Adx8SE5vV2XQKqRift6zx9nnGawek4pBgnHxLzlU1NmRVVKpXVpwlO55tpKpuSnUvyuKxVXUdRZS1piDBOqaR/OApiSBmnIUR8SPt0mQLOxWsuadMmlrYsk4GqqlOw/jwnB/+vfpWu87vdjUiaJri/i/z4Y9o+a9PPvKyPGU0yRBlS8L4mu/gFUMqANoKHh9SOFSC4gEMwDlA3+oIz0rZKlbpXTYOi7+Gf/I1hHAfu7yNNLWhrh3WSh8cG60as3VNXirBIDt1MaUDLHiUFznuqukHKinESHI6we9B8eBfQKrLbzdztRnAlhXaME4xTIHqLoWTszigBunUUIhCWht0O3DwyDWdc7KmFQYuGh4cdLiqqUjFNM9PsEq88ORYPTbFjU1dEBNLbFJnkLKI0KD9TKIecLEVh8C8vhKIijmd6IkN3ov7VNwRvQTiWeQS/YPD85tcfsUgaFSgmR3G3xwfB6Te/ZrtpkLrAPn1k/vSJ7be/YD6d+W6Z6GPkoal4AFyIjEPHMTrulSJKmE8dExo99BTTjBonCAvSKGJRQrtBnI4X8CdT4G5VEU0BLy9oJWgR6M0G9/KMKUuCXSjmhZe2RQmBiAqeX8A57kOgXWZi2zIKKLShySdFBornczpZXl7SibPdpgMyZ7SNI7x/D9YSnU8AdZ4/ZzhjTCfY4XCbKLIRqq4/nzTWAHOdbZo1q2sHZZ5g1hNPDgxes6tvLv638TMbbwD1bfxpdad/qE5gBUq/yOJeop1er/qL4PTi4l+X79cg9Kvg9LLc2l2fH2dgmhnXzxhWPg/mXwPU1+A0l+uHIbGZ2SR1Ol30kcUtkqoobpXHoU+g3DrBYsVVRpDbeudrp9IpnimbrLJxKmtb4WJO8jF5PC7RVbnJQM5iHYfIuROcjunxNKX3FqQdM1/6sY1TCvF/eLil9zgvCAh++D7tCFPA47tUMW3b9JmKIq13t4Nf/zot61x6zq6uw5dvHJCkPhz19VlFpK3T0fHwkIB9oSPWCcoiAey6EZSFoa4L+n5AKMkwwtBphtHz4cMJZwV3d4bC9NQ1WBvZ7SoIlmgLjCyxLnA6zWg5oBU0TYNdFoqqQcSScdQcTrDZOPbbEWctDw+Gh03PModUnV4cbhHYuacfTxhRMPQzm/aMmQyn+MBf/cJgZ8tx+IGu+wFTBs5DZNpviOqXPN7dU1SSbvIcu464OBYLparYFJ5u6hj7Iy6k9yzrhnKI3DeC4AUSQRNmvNYMp2emYJnGkc2+ZegnpC4p/cI0L2yEYxEFv/jwC74/PaHOE9v9hrKukKcDIXhmX9H0B9zLC/HuHi0UD5uaXknGJbGik1QUKhCmiQMBqTViHJmihiGBx/J44K6p0vdclbDdIsYhMa1FQfzxEyKDu75PbGfwqLKiGQaEcxigDw5TVjRKM8aI7DoIngYolYK6QhQFQklcjn06HpN5zJh0ojw+JjDctukEGwZiWV173lOW4N3l90qgnduR5hM631nmEkGeqJxLDGs2WuXJIoPb/Bhubv1cnvH+c0Y2T17r/Lo3FvVt/MzGG0D9Cx//YHD6RwDSLy1+Xc1qfa+B4Pr5KzhdrW8dI7Ve1RfB6UWLmlfxNVDp3G2514an12B2XZ3LpEd210O6lmXTUs4SzcvldSqVNKchXNqaCnH1ieTc76ukQNzyVscxPX863QxPcPGXlGmdWoGpEihUMgH/a/KATQ78p0/gfeRwSBKBGCJ2Tkylv7C32TNyfw/9IFKHrJhY69/8JoHQS/4545gSe4xJ388wpP99910irYKPdMPrgySSGNOFWzvTAkil2W2b9utf/SqZoQoDQ39hcidBVUaMiuz3muN5jzYzp7NjngXzPPP4fkAIwd19QAvFdlujNDSNQESTmgm4Eessp26E0CHNgC4Fk/WURYv1nsXNnPuK3c6z2fTEMPH4GNnWnmXxxBiACrcI3HTiePxIP7xQqEcUJ2LY0E+SXVvgfEvAMtkj+11FVbWYUvJyPDIML7x/3CJCQEnDQ2MSIEOA9py6F+Y4051f8MoTnkeqsuKX+xYVGloheWgMBMmuaQh2Yepmvv3Ft2gUpi5xS8d5dhRxwVqP1AUPbcHh6UcmDSc7w3f/gfdVgykr3OkAw4R894E4DwgCZvvA+40jPv1IqRTaz+ykwNc1WyLnwwFfb3n0DqQiHp+ZtWBaHNv95uqYl8uUmNRrW7MLOCUilCRqDe6ikSFSiYhXiqmukdZh5olqnimUwi0W3dRQlsSqJAiJzu7Cokig+HBIj4/HW8k9s6c5c3SzSeeKv7CnWqfIKq1uWXDbS+vTrktgMpc3chxHDt7Pr8/MaQ7mz8BzbYjKpf5c4s93rusOInkCe2NQ38bPbLwB1L/g8Uebov6BoPQnq7nU1Ncg76vgVN6A5dot9ZnmlC+A00tr0qsW9fcAp9nMtAana+1qjD8Fpnl783K5Qpdik27Ac7wwkVnHGkICkdlk1PXpGpyJmKwhrepbi9XcvSpXAnN2at62eUrMbF1dTME+ma3UxURsl8g0pzakXQfPzxHnBU9P6X+EgLsYppL3Q1xjqDbb1O0pVTsTs/vDD7fGONmUvNmk7Yjq1nTn++9vzPDn4DRefhzQARM37WmFZkNhNFJE/vqvBUSoikA/pHSAcYjUVaQoBc1GMc2RslAcjm36PIzs7k5INPd3lrpSFHqmNBWbJnUbSvu0xAfLy/Mz2nS0bUHZbgjeEYUiREMQG46Hjvu7ift9wIeJX7wX7HaOGCyzG1ERPn2ccH7g2H2kPz/hoybEH5Em4p1mt62J0XEaf8S6Hil6otpTtgVu8ZhCAjMhOsIwJ3FDKCkLMFvJ4dMPzCxE79neb5HzzMHObKRHYNHLTJCRsS/ZNiUhSoqi5PHbdxhRJM2u8ixjRM89s5CMUTDYCXs+4UuDmwbGpyfqosbWDaY/YxZL/PAttbd4r+lUkcrxo+XDdsM4jhAcXmhqIpWUnKsKP41EF+HlJUkR/EKoNLFuEH2PsAmoieCT1uXSuSlGEEpBSDmwYpoQVYlwFjOMbLZbTIi4xqBOZ8qqhDHQCcFQlogLC1otC0WZOlGI7KrM2We5XdvF2R/L6sZiXsrusbjoRZclLZsPdGuThqXrboH8IRm2ri3gsoa0rm9GqXy3mVlaa9NJs548mksHK2NuCQGvo0HewOnb+BmON4D6Fzr+IFPUnwiQrte3XuVroPcTcLpy8UuRUebnb/dFcKpuJqfXZf1MQuTX52vFa3CarwV5mcyMviYv8rZnkJtjqLyL9N2tDH463Zz62TmvZCrRx0vQ/brNaQ7vF1Jcu0Ot910u5Q/DTefqXbwSQFpDVSZg6v1FsiZTG9Kcc3o+w6cngbOR0zEw9Ik5jaSbAWdvXa0229TxybpU+i+rtA3ff39rnGNtYmT3exiHW1XTuWSIyvuxH+H2Za6/1IUETi+lXyIwUBWGzVZzfwdSBDY7wfGYdvw0BOpaYEpF08RkJAuCw0vEuYjSAi0mCB2PjwqjQEUP0aOkwS+GxUncElgWxTjUbJoSoT11u0WqmdkGljAzLg7vBLutY79zCD/wsH8BaRnGgFQaOw2cukBd1eA91kZKfU9ZA7Hn1D9TlpHRBmoq+tMTuhCMOJTtmXqNUqk5QNVuiAvoouD4nMxFVRFx44IwkTgHVCWR1iOCp8aijCAMA7JK7vIgHS4WLMFiTWQcRvYbQ4FnGQOcDpimYVgWjscTtjvwG7swTwPtNFNdHHufvv+ef6oVxd/8FwjvkSjK7Z4ZwdKfabSiFCXbwnF0mo2Q1CIiIjA5jJ2gmy7nsidqlRhOIWCaEDrdecWk00gg8nhEppOEYOoUN2XTgS/GHlGX6BBQQsK8ABFhF6KUbDctZVnipUA5T2EKdHYqquJ2oj8/3yaHnAGXmczt9uLAtzdzVAiXNmwXfek03RhSuPUNzpNHvstbl0DWnaOyLjWXQvK25JiLvC1rZ+Zrk9QbSH0bP7PxBlDfBvAKU/4x1OrvAUq/tPqvgtNV+ZoYLxe0L7/tZ+D0Ety/JhjWMVL59esIqDU4zaakr5Xt12X9tfF2bZRa5ngBpwmQ5nL74ZCuaVolULpYgVLiKlnLbOl00ZJaJ+iHxJZmmVtOC4jxYpy65JsGH69SgBihLNIOaZuLRlUmB3jwkXmBZUnl8eMJjofU7el0FnTn9H4+CLROYDlEwbwINrtU0m/btM6qSp/v5SVt28ND+uzZE+L9jfjpzvGKAboOZvv1Mn56DhI4TWNTCqrCst+mg6LdCA4HcEugKAVVoxAxpIB3IViWyKdPSZfaNCAJGOPZ7Sc27SMiRLRyRP9E9Hf4mJz/S2+ZraSpFbK4QylJ21QMg2dcRuZ5wbsNu82BwgQ0mvvHGR+f8T5CKFGzY+otQnoq/cASSmph0fUPSDExzBNCDpy6M0311ygR2L+7JxLZxIWX4zPzPLDZlLRlQS0bykKzTIEgGpQ7M0SNjJ6i2mJUZFompJvQwjHFBd87QlUwPH+iaGoqCZ0zuGhZrMd5x+H5e0bdoIYTpik5T5ZhmPnGSPz7bxHPH/nu6SN3uz37tkb0PeM8wYe/Rl0kHaGpGKMgDh2VljhrKfBsjaJQiiV6FudZ5sDWe9yh4zl4YnBIKbjbtJRNgxhHpEll63g6pw5SwRPHKbGfdknneBZxCxDBIwpDbFrikpyE8fklLbekMrrWCq0UoqnTei9xUkKKW8emqkoHZWYquy4xpRkMKpUYXedSHETfJ5b3kirAsiT2dBhupfp8V5aNT/OcTuIYbwzqepLK2tL8fNagZlAr5U0CkCefLD94G2/jZzreAOpf4Pii7vRPzZJ+6Y34HeBU3gxTwX+uRf3aPJzL96wAZQaMV60mPwWneTteg9N1Wf/16/L25nXl97uu42I4EuLGfOae9905AUglE7ObM0nXTv1xTEajXNqfplscVDY85f0wjslpn69fw3Ap9ZNafWa3fALLab96FxOARRBj5NMPgfOlA2TSnKbvIH8fwyiwPnXY2u4E45iusfOlrWqKyXJYu/DhvWUYUjeeptHp2u6S7vXpU7r+O5f2g4u5jN8DuY1pjpDaklz7IxBQCIwMVKXnwwdDjIL9Hs7HgCAF4W83Ee8jVZ12TneOPL+kG5zdJiCVoK7SZ5AYwtJRFQGEJxA5nw8U0nLuFcGVPLyrqQqJiyVNUzEsjn6ZGIcRYsFuZ2irSGUCH761tGVgnBqmuUfJwPE8UBQFSmqWYSYGzXarGQbohp737x54Oc0UShCZCWqirB4pFEh9R11tkNqxL2uaZs+mbrEWzoOnDCPOlJgYqTY7KjEzL54wdUx+YJ6OuGnCS1CypShLVJg5WIk/vNBuWyot2RQN56ND90fMrmJ2inHqYToQ7t/TCqjHAaMVqlT44wmzLOjHdygSwy7v9/Q+Yk8vtEalzFW/MNmFaAP7tmJeLPPkqOMI00JnCsR4JiqNapMpimFIlZGigE+fEPvdze2nFMQU4RRcRJzPKWx/npE+ldWjdVDXxMPxphOF9DqlEogNl/UPQwKhdXXriHE43CaaXJYvq3Sy7ffpBIyBuNun1+WTNpfb1w783CUqZ6ZmZjSHHefl4ZKfWt/E5Vmrmk1Ya+NUdlm+FsG/7iT1R4x/9q//zfXxv/1X//wftK638Tb+lOMNoP6FjddmpAROf8+F/wCW9Hf9O8lOBSJrQYlX5/1XDVGvtiWuqv15Ll8znBmcrnWmXwKn64zTteZ0rU3N75GJjrxddok/eV1uKWotTGMyBkVueaXZAJxlA/OSNJzO33JR11nd61am85yA8PF4qxouc8QuN1Bq9I0tTdfKiNQXRpqIWwJPTwlw5qzUbAZTKkVGhSgY5/R9N20CmDkeKoScFOAQnHn3OLEsF3NSUaFkyzRq7u6SGep4TAzu4ZS/LUFiSUfW7vyUd1qSmNSCTTHgbGJm202NlAVKBOZJ4KKiLCNVlZjg0iRAPM2CrhOM/cL+zhKiZddq9htFUWiWsaTdGGKcGSePW8ZkLuvP+Njw/rFGmoB1DQ8fKqZhS7ALdpzQ+hu2laatI7ut4pe/8pjCUiqFCi04i100bd0Sg8fNniA1u4eKZep46QfqBoxR/OLDP6UsJJ4OiaQxikCkMiUPu4pNWWN0jRSR87Dw46cXfByRUaKDQbdbNkWkFIYqFOx/8YHpIPC7DXbsCNGzqVvatiKg+O75IxhJMYMnYnygkYFi3+KEppGCUgtO7Y6lOyGGHqEV27JEHM8IJKe6oFoc9b5A3N/hhcafni9mO4GcBqQAOU2ETY1WGqWh8AvCe3opCFPP+7ZJB9P9HcPxyBICxW6TmMvtLrGbl1BgGQMg0zk9XbQx84RcJrjb307I3Cc4H8i7XcpNbVsgpmiHS5aZIMK8YjcPhwSUM5Oas9cuAFIIUjivuulRxfFwy4Jb9y02Jp0kmUHNYBNuLGiOkcoMaJ4M4NYKNZuh8kSTSz4ZzGZA+9rB/w8Eq2/jbfw5jTeA+pcyXuk+f6/xDwSkX3zpClgK0oOvGqJW2s7X25KJi7xcXkee018zp/nxayNTdurna0i+bsDNvLT+mFrfPsxaCpCvizmvdFlSCf94SiX8sGJqr7GFSlyZxax7zcYnvTozx5FrBmwIqazufQKmWbNaFqntaNMIYkjAWev0Ht5HpiFcXfXPz+l6/fSUdsyypNe5IHABFieu7G3TpPfL1+BlSTrSJEmcEWIixoamEQQf0Gpg6DV1o/m7v0v7QhJ5Oa2/vUAq71/o8ts3DixoaiqzwfuSX/zSoZWiMoZ5VpS1xC4xZcZKj1QL0zgidWSZA/0ZXl4CH77xKB1oSoGWMfVnnyXNJqL1yOFokUxIsaebBIiWh7sOpGUcPnF/f880KsZRM42aQk1UZmTTBu7vNH/11wYlAjII4rKA0ARrmG1HXBYKVWHUhqqcwSWg/LjfMQyeRpe0+x1GLzwfeopacjgfqOuWfT1T6C1CGKSIDHPgx+9+ZKTHiIJgBMFZcEdspwhIjLbUwbO7f0DZmRcl6ZeJZtOiyhq3WISRmBBoCoMae87zgqgNUmjCaaBoSpa6pXx+4nw64AxIIu+dJ0qFKDVqsuz3De3jO4IyMIxoqVBiIvYzQTjG45lBRoy12AicxhTX5Byu79AmxTWJxwfE+YxaZsKmJU5zCuSvLmX+aU7nrZIp/7RPJQLhLMK7FJgPRG1wfc/86QkfPNyl434AACAASURBVNo5Cq0xMjGXQkniOOGqisU5nNaY7ZZiHNFFkQ7uPNFcAvFj097Aq9ZJq9O2uBBZloXJOaLWSGuptKbY7dDn8y1Qfw1cc7vTLAhfg9I8yaxF2hdT2HWyymL0tRA+j/Xd9hswfRs/w/EGUH/O43cAyC/OaX9CUJrXl8v2xHgFWl81RK02Y11ufr0JXwOnayZzzbyu2dX8d+5KuDZX5evKOpYKEphes83ZBHV9bbiEwM8C71Mmaa5QrnWjSifvsFI3oJljoYbhlmwDyWhkLzjOOcc4LvSdxTqNFAXLonE2pngkEpgMPl7biRod6c6BcUpRTOMk+O67tL25raqQKSaKC6NtbSrdV1W6zuZM1bJMbvwffrg12QnBobVgu4FxTNsxTQIpHd9/F3E2sswwftYCNq5+RlKp35D0pgHQSEAbw68+gCAgtWOYJWUhcVaA8GgzoPWBcZxxzjJ3E9Po6AfFu3cKN1s25QP7tmGziUzTE9utRmI4Hz3YCS8ruqFERMvjo8f5EestZSU5dy8QJfO0wQhHWcwoPVOUHft9xM4GbfYURc04dBxOL9jxhPcWbx3CV9y/07TbDctwYr8tUeKv6OqG2Z45979BhMh+t6Uptyil2TWKdrNDi5KiLFhGT3cY8GqmiAV12xLnBdSE7zqOUrM3HiE8vYgsFw3oqTvQY7HC0ziL1gITI5uqxL58YlaGWAoEmqKbWbTACYXpTrTREeoCO/SI45FNtaFsK3yMuFZw9/AeVZT4fkTJSC0jbrYMbmI8HVmUoCYyx8ihP1NZS1gW3DLjRWRRmuZuh+g6wjiCFOhlQVibIp/8pXNF5NL6UxK7Hp6eUqSTT21gRVMTrcMJQXc6pezTZSHOM1XTsNU6AdB5xilF1/dMziELw9h1VCGw0RqdQ/mNucVD5bvEu7t0zoeAVZpOQCdgOJ2Y64qqKGicYzOObJRC53J+dt5n5nNZ0gmV25tmdjTHTcHNwV8Un989rxnUDFLXAvp1SP8bSH0bP7PxBlB/TuO3gMcv6k4/e/CHr/OrY7XOXLbPq/qd4FTcQvP/GHD6unXp+jVfA6cZjGZp2RXkxhWYFp9rVaVMny1rYIdRMF06N/X9LUYKEjuZ3zdfr4bhpinN4DTGW3h+ZnWTI97SdR3HY4pdWuZApEbQYi6xS02TGNsYIlIEpILufKsW/vhJXNMBplnQDQKp0rbnnPKsm91sHNO04JwjBkVTF8yz5rvv0j7a7xNDK4WiqgJdF6kqQfAet3i6TgGR4zlBzss3t/rtuRmkTmnnYoB3GEraJvLu0SJkj9AL3SlS1SPzUlOWFUqOlOWBaerw3jP0DrvUDHbk8W6Dm3vu7gVNM1K3BSEEmnZGxgJrNzRVwyAkx1OkMgV1a/HS46ylrjbgwfsNp5eBthLsH0Aox277jr/65QJ+JASLlgojSzo7oaIEuUGJgPWWZhuIakEEx35XEIhELdmomjZGjsNC1ZT88sPf0JqCqhFM0wBOUO5KlvPMYAU2DEzOIgEzCNpSMPU9o3Pcl9BWe3SwCBH51B1Z/ERRV5ROcJpnxrmjNSW1UjyIiG33oDyTDWxspHl8RAxn5o/fo6InKNA+YM49U7WhU+DcQl017O7fs60MYZxRWiBjQFrLvio4H07MVcEHJSiFgmHiPPaM44RAIO2CLzR+u+H0csTYBZSkjpFiHIntBm8XlmnCCTAxUBBRkXQ3VRQQQ2JQd5uko9aG5XRiXCytXRAxEvc7RiLKGIwU2H5mMYbJWnZCILdb4jAwCEHRdegc7xRj6lZV1bcWbXV9JfgX65icS2kBZcGDlEwxoouC6cLa6lyeL8t0sudWpuuJrG1vcRrrOKoMWjNbmgFrzlNtmhv7mp37ryfTN4D6Nn5m4w2g/uc8fk/w+NnLxJdZyT9mvet1frbsZfnfaojK4FSs3PrwJwenuSqWQWiOgMqsZl7GXDSMmRFdf7RMYoSQXpP/EWIyNGUzVI5immeuhi/nP9esZiCYtZzOXR5fOjzlSKcQkm7TOzgeF/p+Qska6yTOBawbaBuDKQxlGZmnxEpKJdAqGZxCACFTSb/vUyrAOItU1ZRp25vmkndOes1u5zgcOqQYEUIQQuR4rDifNyilub+LzFP6PLtdgfcVVdUjSeX846mGWPB8ghtT+tMyfvp5RwKq6aeWhqaWvHsPQnmaeuZ0bqhbmUxQVU9ROqrS4Z2GWNF3jn4ckQH2Vbp7eHwUlGWgKgG/0DSOxQUWazClZJ4E/ViilGNznw6iof+IMZFIxA6S87mj0GeqqgTRsG0C/9U/MYioCWqPdz0xRvrnGRUtAk0MjmHq+fB+g5AejUCpjoXAsX9BCMu7x3sa80BVaWY74+aRUDiWWbL4SFkEhkPPafbM0wujt9hpRALn+MI8Kuw0sK00hW4TOFUyfZ/RMYbAQ7ulji17O/LUHakQfGhLligpSkVwgl0/09zfUYgI54FCKqgKXN9jn36kevctOy1Zlplz8Mj7RzSe02GiLBSl0MhpSvFd/UzR1OznmdZoQtfjF4edJmwMfINA328JZc3ZLZTOURUGYzRF36PKCucc/dAzxYjwnlEKKqA5HNGXXFQx9MjdBqRMxqgQcKcTkohUklgUyLLAG8ORiAkRUVWchoEoYNM2yGFAhIAgVSWo63QS5A4SkfT4m28u4nRHrGpcTEeuG0eEMakrlpT4qkJ3Ha7vU+eKzKKu73jzhJSB71qvmhsGGJNO/NwkYO3kz6xr1rNmDera1f96Hn4bb+NnMN4A6n9O449gM7PD/U+93p+A0t+yytfgFCGugflfAoN/CnC6Nkat25Fmw9H1PS+le+8+X8+aoJAiXrsoKZVc7Tl15ny+gdNzl0BpNn6tzVBCJCC6LFzjoIKP11io7faSezqlD5i6TcH5FBknR/CweJFinEpJQKKUo6kCPqT3LcoESudFXD/Hxx8F0ywY5xQR1XW366eUiZxalvR+2y08P81U1ciyNDgnGMeIcz1Ew/2dukZEbjaglSL6hsJonp4cz8+aujI8nRSJO71Qz+kbvDzO+lNJmn4MikilB4oCvv2VwrtIXVmeXyRKJlZ4txWEIFGMOKexi6bvI/MIpfBILdDKc/8g2LQaBRA6qjIB+nEsaauCeRGcu4AyBQ/7DVpplsWw35Ys4wnbFxwPI1V1wFQ9ITYo1XH/oIkYpNSI4HDDjJAVZSGZBkl/PuOZaesFa8+ECNtHyWnp6YYjbulBLkg5YDdbChTezSzuwLJsODuQfsFQsMyO2XcM84D0UGmDdD2n+YzrFx53O2otsWHGeUMRPdQVUStUkAgpqfAEDJsQeNiUbOodoZTYrocpoO8eKPDEj8+UCur9Bjn2dC9P+Mf3xFLj7IKTArG7ZzqfiEKjtWTuJmoCO6Mx84yoCorJMRMIXYfvF8I4YEPEWId+2GFNiY2eeegxUtG2Dfr5OR1IMWJPJ6YYqZHIMom2u1OHIWJiSMH6281N/yIVfPcdSmniNBEWi7jfEJRkNgYZA3vnEM4RreVjCMzWooUglCUxs6crZ39EJHf/JRBfxAAyvZ+WkigEKgSiFHitic4hx5FYFOjMhMKFeb0A1WniGmDcNDf3f57kqir9zm1QjfncbJVB7TrTLpf11xPlW9zU2/gZjjeA+uc8/qHAEW6V1fW//xSA9PeUE8SLtlG8mj+zm3399x8CTtfxgfn53wZO4QYkY4jX12QFwlq7mhrWpK5OUiZNqb9U3rIs4OrUd4mJPJ0/B7drt3+OgZqmS9TTfDNGmYtW1LvEYIaQAPE4CU7H5MK3s2IcIz7kxBtHW3uqSjHPoE3qMJU7TimVtuvpOTn0jydxlQtkgibHX6VoKktVLpyODhhwzuOcoDvHyz4RtK2jLJMuVoqIlo7uvGAKx3ffafq+oSoVT6cvsaYZrObfisyuGtLnbXfwcF8giFS14HzWKBmQF+MXwaGER+mSvnccnxTOa2oz4MNC1Xq2raGtz0hXUjUVVb1ByJqhVxjjOZ4XxnmhKmbqSiOFQeuCuiixcwOm5nh4oW4OlKWjLN7xi3cl+/0ZNx94Piw0ssIHjY4lAklYHG7xKCOpS4WInuAUxRa68cSx+xFTJNOYlIJgLVOfQI0UC0JtmBePX0bOHpb5SL1vUUuklAWlALeMyKIkzoJ3H77lfV0jROBlONPbgdi2CDex3+7o+g47HrEI4vFA0xYUzY6ySa1DC1mw1DWV6wmnDmUkUivE8YDsz6jHd9hlYpkmxigQTcPx00e0UPzV3QMmQnQzx3nC4dm3LZWdKYnYaaY7D7hzzxAD/dQjtUKGiAyWZUg5sqY0dD98z2a3R0UQy4KLAeE9qlBJd+ocYhiwMZ1IoiwQdeoKEbWB52eikJTnI9Y5hk2LJBK1xgiQ04JoU0/csiio64pz1yG0Jg4DlfcUOdIpM5EhAWE2m/S3c8S6AaUorKUSgr4wBGt5GUequzv8OLIRgmK7TXd7bXs76XO5PjOpGXhmfenaDWltukNcls8NVnkSuQJz+fkEuNaevjGob+NnNt4A6p/T+GOAI3x1Yrqu7vJgbfL5g9b5OwDpF99z7dZ/tXn/GOD0ajhavWbdktS7uLquJONQzum+ak4v67ROMIw3NrbrPmeIM/CMMa1vHCLOJpY2M6bOJie8vpiopjF1d9IqMo4wDGl7FiuQssC7EiE6nBVsNhHva/5/9t40uZEsy9L83qgjAA5m7pmRmSVd0rWB3kQvq370snoTvYLuqs4hwt2NRhKAzm+qHw+PgFl4ZHq4e2RGuvCKmJAAAVUFafr06LnnnAtVjliqMpM7LwJbCc5ncuj+cM0rLbK1UsuS92mtJ8aBZVlwTiDlxDRunE41Ak3bXYCkLkH40PWB03FAqYXvvyOPCHUN49qRtaSlNq4tfEOOjyqB/BWGBa3gw0domhprLcHl35U2FSE0aDUghEQQ0bpmeDWMw4zbZro2IWVD3/wNjw8NlY5oa6gtNF1HDIZxtlQ2Mq6JkCa69ogxASkCIXzHOjWs4Q5Bxem15W43IZXCKMXffltxf5+IaWOcPRrPFFeMtiAtViuWTWKM4LFuqJuG06SwNuLcyHk+oo2kqyVt1/H6+j3neaEyhq5V1O2OsG6IShKiJHrBJEc4bjRNB8cTtm+QWyT6lX1tubMWW+Vle296pNZ0dYWSGhEiO6s4Pb/APFDftbRVR28NnE7EusX5SL0dCeOC7mrEtiJfPiO8I949YGNAbzM/bBv94z1pmmmUZYuBsC2Y4BjWjXk6g62Q88QSI9Z71nElTTNj8BzniVUKlpT4l+MrXYr8zlge9j3V8chLXTNvjr2KVNuGjokkJckYxDQRnp5JUmCkhHlGfnxApEgyJjv6LzodbS19XWO1JlQWbS1BCkaVgahQCikE7Txnx70x6HHEti26rvMJUsDfYZ9P9MKelpPYOXTb0n/+TNW2tEAMAWkMtVJY77NBqsz5TSl/Xxacdc3PV9V1cSiPQ+Bt8sUtC1oCmW+z8OD6uCyOX5/Y7/Vev6F6B6j/kfUrA9Lb7f5JU9RP3ebP0KGmG+Lsj9r6N7v5OeC0/PzPAqeXxADvr5FQ5fUx5vZ+vADQkhgQ07X9XUxM8jJZKUaY5vy89/maUqY+lfcU422Z8z0O+VoTQgaly3zNAidlPefmBMHnCVPrekkCiJBSYhoizmu6rkfpCmM9KWmssiilsVU2PPkIUgueX/Jkp3J8z8/XpJu2zdFU05SPK19DNxILMTRUVrAsms+fP2HMkaZtcC5SmZrKmrdccbcuxDDz+tKglOTpnMgZppYMRCOwAp/JJijItyp74BFBixU7rN34+NFjK4MUhnHUl3QAECmPqdQ6azuDE3hv8Ktkm+FwMAg2+l5z3wsOdxUxJHZ3Cq0S0yJJIaK04HxWCEGWKGyQhMWqGbcmlvV7optJ3HHoNbvG4FPL3SHwzQeJUDMvn8+0ukamHqUV8zwju5Z1SbRtRGpFRGFMy9/1Dcs68uRHKqtQOk9WUini18C0fKZt/4a73SPRBTYCYXE07bdYdUYIxTK+EH2i6yq28xORgMFjK4s12akfDMzB89DUVFWLiRFTJbbzRtP3yIceaWtqEnocCE2P26Aanwnzhm4tYhpRx2eSsYi2RaSIEWDaPX0bSNNMQmCtxU8jYR7YtMX5mVpbdnVFnQKfjq+ozdM4z0zitM5ErTn0LZ1S/OH4yrCtmLsD9bKw1hVDjPgYEeMZpzVVlY91WlfS6wm0pNEGO03IDw/gXAawPuS81JgQPk+p0F2H0SpnlsaAWzfCtjFNE8JaOOyz096YHAel8muBN41nQuQT5uPHyyLCJf5JvmlzTNtggLa8/zYzrsR69P0VgI7jtb3f91dDVAGmJS9VyqsZ6pZ9vV0USzpAWeTKa99NUu/1G653gPrvWX9BQPqzdvNv6Ej/rPd/tf+fC07L+/5ccCplfnOKX2aaltZ2KSkyKM3GrEvrXv0xS7uVqUryyqKWcdtlqtOyXD+TlFkWcIlffAOx63LNKk0pM7Vdl8dEFie/ENnc9HrMPw8+4oPIzOvFzFXVBnNhemIS2UNhBMOYp09B7jC+vNxoYi/XYiXzdKlpvCYIHA4wjYkY3Vv29zDAy4tBio62kRBrtDbc3xu2TWfpHInh7Hh5AVtLnl4h35U44PXylcv3T5fvF3IA/wZIDIa2M3zzjUHJRFULjscLwbQG6lYiLXStImwVIVrcGjgPgnkR7HYaozT7zrA/CO4OiSgkXZ8yYD8lUIIkFcMpH/PDXcJ5B2mlNRvQkGJgGhPBfc/jwVOpCqE0//XvKpQ+E7cfGNaZmCLjqqn0gvAKnzaG8yu/+6jpOwO6Zpo8Usy4GNnCzP2+Ylln3LZwWgfc8ZkpnBEK9nXNw+Ejwa38jz/8C1q1/L09o6uadnN4NIQB4yxIkG6j6VtspRjcRtLZSKUby9OrYxsHPtwdkOcVWxvaw11Oc5hHlIj4usUNK3Z6JYaY2+XLjPr0HdzfI5XM+motSP0Osy74H55QRkCU+PFEXEbmusG5E9u8cH840IjENo6s48g+SNra4uaVEZCV5LFtcmi/EnyyOcYpti2TgHpb2S8ZTI/riiKitCZ9HkhAKxXdsmAeHzIQtTYnghyf83Qo5zKjenjIN4MF/E0TumnpncO2Lb7vMdOYXfbyAjYfHq53beWEVxenvFIIJcGnDIa1yODx+Rna5suxo2UxaJp8It9KBS5M7BuALe8r7X0pr+C03EWX0aa3AviS9/b1Qllcl7ePb7++13v9BuodoP6l6ueCUfizAelP3tzPbNv/lOMqm/o1wOmPbedPgtOULl+/1JF+AU5TuqznghhF1p3edM8KWSElb858qa7HXJz2xYFf/hXACdk0Va5B65LeXhNjHr0pZdbi9n3e3nQBn0IK3JYYnuPb8WwbnAewNgPk9mI0XjeBVHlqkg+Cl9er2ffz55yrOgzXMH+tssaisKllGlXbJF5fShqOZl3Thd1NaBlpW4lSe4xu6buLTiNGSFk28PJqUHrm6bXoTR0wkEGoIOebfiYboRTwQGZUJYaJtnP8zbeZAWo7wfPnRFPn/Naqzhfnvg0kn9imwPmcGezgE/s+oUXgm8dLfGUtQSa6TiBJvL6CsYptg9eXhFGRw51AEfA+YfXGugrcFjkdn9ncdxwOHVrPtF3N3//9wqGuUOaBaarZi4WnpxeEciA1iYQfI92Dx3aJpA1GBu52DUlVrMuJ3a6hVy1+Z/nDp39mnEb6ux2HaBm3Fa0t8zyQaNHe0DQK4zUdgSQtBxlp6g4dPbGtUMJQyYTTBqUC47TR9x1x8ygJp+EFOY988/EbdKVIzmd2tLV4r3AvA3YdiEiEUujxSHp5YtztWdeVECLaKqr+AZsScdmQOuE3gV7O2BgQUrFXEoVC7zr6FNCbZzgNhCVgakVaHaapkMKxoZDLTPQeWbd0pxfmlIPzl2HgIURs3yOcIwl49Q7z8poZyxRIq4emRWqJkJqkFDw/ZV3oOCG8I+12+cTsu6xTlYJ0uMMPA1sI+BAw84QVAl2Ch+v62oa/tNeTkFcT06Wl/8aeThNIiajsdYoTXNsrt2xnYTn3+6vzsGSfFjAKV2BcVdfFqgDRoj0dx9ziSOlqkiruxtLWf88+fa/feL0D1F+r/koA6RcvFTeRUr8yIP2xff4YOC3f/xRwWurWdV8ef7GNG1Ba1vxbcBp8uoBHAIGQ4u11twC3gFOpxDVG6kZvWsBpiZEqeaXepbe81NsPoC/B9oU5XZYru5mvhekth9T7PA1pGFIGkzq/toT2l+tZVWcQN8/5gG0eQ/4WDblt8N13V9PWuqS3zmKRFjh3jdAyBsYhoS+jT7fVsC4Wt42AoG0TdV2TkqWuEkpmSYA2gh9+yLrVhOU0WzIoFeT2viS38DU5fB8yY9pcfiYQBLpW8803HqUFSkSefsgGr3WFu33IDv4qA9NlybraEBIxJmoTaCrBYQ9Nr9A2/ydp20RMZP1nlY/x+BKRSnDYRXSKJB9pKsN5bpmn73h9iSCfqKozzh9BTtztJ6IzBHWPUR/YVw2v20rVTLyen0jCsS6JQ99ha8WyemrlMI1GC422kpqBKCVNY5mnFSUsdW340Dbo+gH18olxXdnCCRFGul3NgRatItuyomWka2p2UiFbyew8fdeB0ux04ofzkcoqhI/01mLCwhgFiwpEK0ghIoYz+n6HXwP+0wsGT6wahNuQr8+wnTnvdsx+5TwuOBmpuw80pyOtyAkMtTBYueFiwmpD0IpdDLSHPdM8sQ5n/DSxLlnCoF2AtsFWhp7E8XzkyTtUbdHLzEdr+ebujjSvyJhomwa9bQRt2PwK48ROadQ85VxhY6i7mgpIUpFOOdQ3hZgZzqqDts3fK5XHo4aAn2aGlxcWa5H7HfOyUAtBv23ocgKUjNGyIEjxFhGV1xz1JXt6OkFlr231qrpqRts23xWWgGC4Lkp1fR1NVxhba6/sKlxP4sKSlla/tddJVlJeZQElIaBETZX9vbv43+s3WO8A9efWX6pd/wu2/UWkVEpvo0R/cv2Mu/GvHfu/BJzetva/AKcpfbGNL9r6l9fEkN72lcgsaExf7q8wiGVn8dLevwWkhVwpQfmlDb/M2bxUWM6Uslyg7LNpshnKbRdnvy/7y2C6bjIDOA6JENLb4JppFiidpzzOF32qsRlU7w95W+N0uXbV16zVpskt/OfnvN9lye39lK6jvlPKP5umK+AtEVeVjcwTF31mj9YWpT1toxAYIoqqgm3Lx/ddMUN5wRIlsCNrTgP5P9ntRChDXlokmU0NGDYOd/c83BtEkkhiJr968KunqxJGQWsCPsps7hoy4DI60TR50FC7k9wdIqYWiJToD4IQFOdzTkM4PkfGSdDYyL6PyJhjuOpGErZE3PbM4xkl/kBTB5bwQmc77ncveO8Yl4pW58D9aZHU2nNKhn33gN8Mjw8GpTekTNSVpqrAqIhSAis9sqtZ54lpcbiY6GqLQxJEopGKZFrWlyNz2vjYdyhXc/e4pwoBKkMtIk1b0VjBNB3RjYWqxqiU9aASjueFzlhM3PBCIduayir86YyoKvShw08by/efCW5mUgo9DNjTkfrQMJg9bpvBg+5q+v2BZTgjVYXTAYHCLBNWWbquISnYjq/ox0eq5JExYp1jQfOgPFvUuMritEZqxd8ZzWPfc5YStS40WvFw98AhRKgrBgHLtrFpg4gO7RyEiIqeJCQiOtTdnlBGj24un4gh5DGn1pB2+3weW/M2hzdpk0eR1jXt3R1yOJOMYUoJezplU9RX8U3J2C8nNW3rZQqUyq+7bdXf5rOVFr8x12D+kl8q5XVRuAWoKV0BamFBy/MpXR38hWEtLn5r8wmc9UBfLra3TOo7m/pev7F6B6h/Tv2KOs1fvN2vt/1zGNKvt/Fn1tes54+B09vX/JhM6mtw+radlP6YOeWPNaeF9RQyRymF+CXILeu389fs1cKulmvJ2zYujGrRcE5jemvvFzNUAcspAiobsYyGcRSsSzFk5Ra/DwJrMlPq1sxsppQZ25fXq7Y1pZxR6oJ460B2vcBdQG4x/M7zlbg5HuHTDxk0e58fF4JGkN7Y03XNHcdlKdOfEn2XXf7nc37d4aDxTtFWOVoLkceXBp9YFsHzU0Qbwee36ViCvHSUkYsKuKT9v7n2yx++olYLd3cdu65C6w6/2Sy1iwE35ylYVgWMliwTbC4xHCPLIujbCAnqVvH46KjbDcKGNhXW2iyHOCW0cry+bMzjyq6T7DuNUgZjJSIGxrNnmRe2xdHXQNcQ4pHOeO53I1Fo1iAwweN2jtMgqW1k3CJGN8jU0XcLWkaSThgj2beKqtMIN5GiZwtbjgwjMZyPdK3GNJIudHgh+O7TE8dhQAe4qw3r4hB4QjfS7/Yov1J1Fq0SSgvqfcd5mdE6ZeDmVhSKXincfGSsO6QKaCXYXo/MhwO1MixPr8xPrwxxIcRIlSLyh0/sf/eBTRmi33J27q7J2Gbb8rlIJG4JG1e0bZjHV55DZJvPVH1PdT7SpIhZFqTQVGEBpXD1ga2qSFqgvaeqa8TdgW04E5VAtw3W+awBFYI+JWzbEoJHS4s7D4whEmNExkB6uAe/YazJ/9deX0FlVlPESLr7AN4jTDY4ieBJbZvHmqZLPNwy57a/UojzGV/insrX2wXlYmwSwec8VB/yf+mqgmHI+ymLUclNLeCxgNK2zT8vGh4pr7lubXsFquv6ZQ5qKWuv7Zvi+i/t/bJQFja1PL518P9KDOr/8X/932/f/z///f/8Vbb5Xu/1c+sdoP7a9R8ESH+ya/9Xusv+qeD0NhsUvlxHvwCnl7GhGZz+SFufbPZ5e33K+aQZ8F1zRW/NVaV1X5jTsr9yHbjVmJbH25re3PlFu7mt6W3bQlzMUBKEyKB3nsk6Tp8d+d5lTWfXPl6VDAAAIABJREFU5B2OFyNTOYbTy2WKVGnpb5nxLS18Y/I2C9kiZb5GF1D++pKZ02HIx3M85t9ffYl0XJfEuuVcVGsS03A1WwUy83o6xtyV3CVSFDRNDvp/A+0+ZhB7ihgreDpdhLtfTIe66CyoyKD0TG73z0CNRGBE5MNDR79vUWLHNLa0lSAFjySiTcIaSW1hGiPrFJhXyTQmup3A1IquTdw9eGw14vxCZVec98xrR1jvEELz/HIixYm+AWsTLjUYEiJqpiHHIr0eBw6HDed+T9qe6XtD1/fc3x8Yz88oUTFvnpfngcf+hdMmcEAUkvu9RSlJEp4I9K0luDPbPAErKXlso1h9JK4LbVchWFmWjbruOJ5OHM8D0/GZ//YP/43W7EjrxHl9Jm4DWu2oao0MDtW36FqDk3RWMJ8Hkohs84xaZg5dy1zdswaHXwdOTyfsfk+H4+l/PrHOjmAF2zhSO0daF9rffWRGYGJA6ArRthiRmE9ngjGEmJjdTBhHHvqeNswMEcbpRCQRzyeeRYTNcTAVwuU7QWcsrrJgBNp5Ku8wbQPzjCVlwOZcBn0ys4y6aTACUBI+fWITiiAC8zIjug65LdRaY4wl/eE7EII0L9kstdvBNCEO+9wlKneapxOsaw7U7zqS2xBSEr0nrSt0HVNV4dcVHSNWKVQ52eo6n5jlbg5xzSktC1VVXUFhYTn7/uqULKCzzDJumuuCVNr7pSV/CzwLwC361QI6ywjW8vh2kS3P/9jd/3u912+o3gHqL62/Aob0XwWnf4GF62tw+mP7/jfBabwBm/HL9fcLcHrZmbrMjb9tx5f3l3Y6fClzKNeKN8Aqr18Lc+p9btVLAW67mqG8SxfgefksIb3pRMv1ZNsyA5mBZmIaE0rllIC2zcaeaboSLiFkMCmVwPksMRgmkbO7L2aoqsqA9pZkeX3JkoBlzu8/n/M2BYnTMV/30+V3ez5ndti7iBAZxJaOYhmpejxm4NrUWU4QQjZOSSUILms3X57z8IGUBC/T21/t8rVMiiqPDdCT2/wz8C0GQWUWHh9fqJsGouDzs+Px3hPW/Du0jaS2iZQiw4tjWhXBgwuCppM0DRwOid1eUPURt0xYGxEyMA7g/RMiONzakOLE4dDlz7MFpJrwW2IdG4ZxYJg+0bYzwR0hHKn7gar1wMLpNbD6hXl7Iq6QeoWQitruUTLR1Y4kIgKVtbMBRFxy+NM8goo8HO4R3rNEWNxADI4oNNt04nlZmU8zm1uJrHz3z/8/D/t7GqOyKEJGZApIrTBdgzaQYqSuDXr26NpyfH0mLSu2qwlKU4tAtW0cnUdUNS2R+OkFvzim5KiGQDsO1FXFdr/DxyxD2BJ0Hz/gxzPnlyMJ+Dyc8cczEthZg1tGTghi3Njbmk6CChvjpxdOxmCCpFMKZyxDVeGFJ80bYpnxbcNuGtHeZ03GtpGW9Q2kCa2y9CYGeH4mpiwoqc9nwt2BLXqssdTWor7/IZ+ky5Jd+21DKmNBS1SGyNKTwjrapqE5n5i0zlOkTie0tWxKMW1bfs4Y6pToUkLvL0BXkDWkzl11P+OYNa6lfd91b6YphMj7LIvQumbwXPStbyLyS/vfmGuuajmx6/qqP71NFSiL2+2M5LKI3c5s/rpV9F7v9Rurd4D659RfEox+vf1f0rL/C65VPwZOv27d/0lwennzn2zrkwHU2/svC28hC74GpyllEHibzFJKyquRtjwu7XQl09uo0rLtwpTejiNd5ivzWJhYSDRt1o5OU7qMK02cz5e87UWw210NVafTJTvUC8ZJIC8gN8QMRMtnKvGJp9N1utS2Zea0jOn+/LkA0MTx9ZpmE2P+TM+fr0C6XDPL721bE/OY8CH/Pm0laLv8WbsmIoRgnTNb+sP3eZKV2xJL+potLSxqeVzKkJnUjla3VNXI4+NKdBVxk8xTzb4dWBbNrmuQIrHrI9PJs2ySeZJII9lCvqbXFTw8CrqDxsgAYaWyjhg901hhVMKtntMw0tZw95AnFhEcVs+M54Ho3SW265Vafyb5CdUk/u53e6QREGdOsyf4meMw0Dc7pG6ISOZlpTORjx8OrOsRayvaSgMr62rom5a6EiwhMo7PuLDiNg+spArOxzM6CZ5PR7bzRlQCIwKvx4FqpyGupKSRMtFoTb23mEajZNaa6rjBlrBKEJ7zth4e70imRoaN49MT9B331uLHI2b2DJtHKYGcNuTzCzwcUHWFSAEfN2S1p318xGwrbRRUh555WanmlQHBQ99RK4nygc9xYd02OpFQPsDxFaE107BiW4lXiq2qCDi6LSKDh65jGc/URmP6DtY1u+21zkynMcQEMnl4esqpAgLcMDE+3DPEkFMSgofXCRUj2vs8ia7rSBenu9AZBArBxUWf3kCrjpG+abBC4M9ndNfhU2JSilYpRAgkrRlthbE2yw5yRhxISarqqxa0aESr6goui1mprq9aoPv7/FxV5bvAWzd+VX0JJpW6GqTK9+UOsrCm5U6+APHbRfR2zOmPaabe671+Q/UOUH9p/QcD0i+MUfxl16p/DZzevuaNVb28Qd5gmR8FpxczV4z585QYKODHwakQF3B6w5ym6zZLR6yQDUpdRnTKa5h+jDmGqbCvhTmdp8SyCmK4OvULCEQImjpxPmWjk7sA4PNwNTqV69a2ZRDb7/NkJ+fFmxRhvOSRlimLhZgJPrfpjck/L9mg03TVmzqXQey25fdta8JtiTXma2whZdYlobXHqJVpDCyzYnMVVaXf9rlM8XJN9GzOsW6e777XCAznrSwNX7Ol3Hwvbh4nQNEbaNrIw2Fj2zxaJvyaf2/rKmiaGSU8TRM4vSq21TCtGmsSPgrqKtLvBP1B0/eJ2gZSTLSt4vl5ZR4TfWc4HiPzlOh6TW0hbj5LOhiYpol1XXEL4Aea3QnkRtPA776VaBtI0bB5sHpl8YH97oGu/YYQPFZ21I2n3c1IscdWln0taZqecfC0laJqFFI4pJ9Z/MzLc6Dft/Rdw/Jp5Jv9A58/PzOfJja3oqNjdoEYHD4uJBLGaExlaB8PVDYhrcw3GDHT/sJtCL+xSo1tJRGFXsasg7WGtK7U0XMcZkS9QwtHGE7E1yPd334LVjPOCx6POnzg0PZUzhGFoqoNKSiqaUPWNVUI7PqGbRjZtGQ9LyzzRBU8KQWSkMyLx6nErDWp3zEuI2JdaLRGXcL8VwLPqkJMI8YHtNaIixYz+YDUEo7nS7QTpHlh7ls++4CRCVVZ/OnM03nAWMtucwhrEIc9aVmzW/8ti1SR5iWfIJfwfOEdOgp00e7sdpy0Rqxr/t9qLUJrRAj4S3i+KMaoW+ZyHHO0FFwBabmjLNOgLttDiEss1UUzZG0+UYvB6XbhKeC0AMwSQ3Ub3VGOoXwt+yrHV8Dzrcj+vd7rN1jvAPXfq37MGfQLTU0/WXf6K9S/BU5vdaS3z/2o5pR0betLAYgLOP1SMvDWkldXQPpmcgpXbWlZp281pmWSVAanNxnZl4ioku4SfGKeLgznkGOg3ljcJJAyA1vvEtYmpvHSdVyziakYfSFHQjmXWdRtg6oRHE9Xjeu25Zb7LTht6sS2ZjleIUfO5ytwPx3h6QlOx4Q2Ik+Jcom2SaSQ3+fIDHBVXcL3Q0LgWeaBaVmZJ4HRkbppULRYY0ghh9ob41jWkeNpZjyBsXBaW6CMLf0xtrT8Ua9/rGyZkjzsNW1/ZhlnYhwJ3FNXhuADjZmxxiPlzOkk2bxgOBtc0EghqRpoWsXDQ6LvI0psIDxWzWwzLKMBceT1NX/efadobKKuLUp44IWX44iVBj+2WK1R+++RaqNvEs3+lSglpAqlWiqp8ZumPWjmZaQxLXPYQM6kpBlcTbOdkCoCPdP4yppOxDBQDQOiNkxzTilY0kA6j4hwx76SLINHOosOMac9iIpaJ+qDpq9rDruG+8MjthIkZoZNkIYz2kp0jFTbirCG0QVCJRjPM/dxQH+8J64rYt0Q85FF1cwhEV++Jz6/0PU9h2+/RRiJTImqrWl2B/ZVRQdIbVEE0rqRppktgZ9GhrASPk2EuiKcz8RlQS8zr8vEqxBEFxDW0piK/cePmHVFOceneWbb75HnEyORk5Tsx4FjiNTW0q8r+sI6Skn+z5wupq9tga5lkhLvNw5SIzZH3DaeU2RaV/aAuDtkmcB+f/kP7xBKZnA6z/nEPhwQ59MVMJYc0brOLGxKmcl1jhATqe/RRQvq8hSohPiyLWFvgvmLAz/GS0vEXe8uy91iWXhKa7+5vL9oS8uieBsrAtftFYfmLWMqRAbPJcj/Nvu0LDzvDOp7/UbrHaD+perXaNd/vZ2/gvojcFr0W4k/AqdvldKXzOmFJRVfZZN+AU5V3kC5Ntz6Ff4UOC1RU7cyraIxLYH1KV3a52s2NC1ziW7KwNV5gSCzklImlLxKAaZZvLX/i0s+RJGJkioD1mG6HPclPL8cQwj5WppSZm61gq7NALfoUyE70nPYf/7+eBJvZqjX54i7kD1CvCXvvA0jmIbcwg9BEJNjmVeWpUXLrI3VakJrQ2V11mr6BGllmWeWqQUZOa0L8ANwf/lXwOjXbOn1D9ySW7O/+1bS1g0uGLyT9L0l+EjaJpSSVI2i6RLL3OcsWJdwcaHpZupa0vaR+ztFU4EPnhSfMFVgmA3TWZCEZl12pLBy10K/0xBqDBatLOdhwk8zMdbc3VcIubCFgbaG//L3DwiReB5+z7CNPOwsy7bn7qDyTUuMjOOMEgM+gVsTXlXMKtBVNZNzOD+wTi8IC+fRYZXl8cM3/P3+gSjg86fvqILD0DHOJ9bpBURkHTeMNniTCNtCdb9ntzvQVuCUZ/Ub09MZRaLTGpsCqzX4OaCEZzstxG3gtbb40yvyPLBLgZOqeRomxHhmfXmmeXjk8fGBfZVNT6GtUW2H9QF9OXdUdKRxAudYXWQeT2xE0ur4PqyE02cepOIbmZCV5R/XmfO8Iq3FOUfc37Ecz0Q3scUE1nB8+cxqKwajuI+BXmmkhHmesG2HjjGfq685By1GEOtCslU2RZ1eEGVG8PmUgeLmcrzUf/mHDET7/i3rVAjKtIt88vR9BqTFvDQMmY28nPD20vr/HAJBCKSU7IzBGoMYb16r9JveR7TN9cQtcVG3DGZZ0G5Bo/fX8P1b9rRomMode2Fcy/SpEvZftDxd96VBqixmhTmFLydTvdd7/UbrHaD+0rrtK5f6JfrRn1j/EexpySQtgPR2v19nnZJuJjxdZAg/pjkt16WYrlKF2yipW19AadvfgtNywSvbfDtGyFFQKUvUysSn4kXIGtEMSjPwTASfs2OLESqli/ue3L4vzv7NZQ2pj4KmzR943bKzvq7z7+J04s0YHGNmNsvxNc01/7uur8f7+pLBq3OC11d4eQa3RdY5A2LIr9c6G6fmOZudtk2QYnozXgGs08YyZ5DdttC0kmURSOGz4WqKtJ3gh8+JeZQsLuIZyROfVuCFq/lJc8uWXv5y+XhIVCpwd+cx2rGujtNguOs6/Npj7UaSjvsPFcN55vU1EIMgJYHDINVE07zSdZb9Dox2uG3F6BWhV44vNVoptK4ZB0clW3b7HUIGVFRUlcEoyfGzZxoqhNxxuKswciPKZ5rW8/FDjZAv+OCQoqPranw88Hjo2VzEhxeiF+z2ibRpovQ8Hv6Wj/f3VHXDtBxZTp8wreLubk9KgZfpTIiOQ6PY9XvCMBGaHfMSWKaZSsKDbdnqPQezp2oUW1wZlpxxO/sTftV82++ppGaLE2KZqe4P2HrP8zhiGOmioHvYQ6x5/fyEHgcOXcNChRqe+WbbSEoh/rf/HST0laFqWkTfIZQkzuvbiafsJfB+XQlREMPKFjw7Y+j3O+w58CkmOhFo0ZyXkZdhJmhFqy3CWr7/4Q9IY7irW4yWhNMrpt+h2ob9PNFLhZISlhVR1fgQSNogLyNKMzidSMbmY3QbnbWcSZw+PeFSYptm5OaoHh/eBNriYri6nOBZIvCWXbohbjVE3ucTbL+/3pU2DemiP019dwWMF41oEvIrUbe6ttxvhexKXbdZWvnljrG49wtjWtr0pa1fhgSki2a27KcYq8q+SoRVSRf42gRVJAPlZ+9A9b1+o/UOUH9p/Urt+p+zy1+4mZ+2r3hjbPoKh38BTi8HlZ8Tbwzov2aI8iGP8vy6rV++/ig43dINOP1SxxpvzFOFtU1kprBcB7bi1N8yKJ3GhHPprRNX3h+TeGM2i1N/deKtle5CBqch5Bn35/N1elOZPEW65qiWz1WMvvOUWVQpMng+nfMvJUb4l39Ob3KDacrvr+vMBDsH52MGpZVNmQVewFyInOAimxMMg0YqsFWmqs/nwL6PGKuYV4kPiX/8JxBCMWyQpz4tQH35S/TkyChNbveXKsH80BDoLPzt7wLrOgAr6+S52yu2RaKNxTaSpjIsS0XwCbcNqEqxTmCUoz+s7Drou4barvjtTOIzKe0JS4vCcj7NuBmsTuz2BmvySMpae5KLHJ89gfwH3jUbzh+p95GuG9n3PY/3BzY388PrM13zDZ39G+pmx7wMbOGIEJqPhwahQTQNIgke7w40XUf0K86PzHHkYD7Q9juCjzTbgFYS5QJp3CBJ1BSJrqKrJDpJzN1HhDJEuTH7Jftg6kfuH3dUQHQLShyQ84gioPqGOSbCunJ+/j0hRNzhDvk64j+/oJXgcDhgTcv49Ez9+kL7+EgSEqnAyYAzhvbDI8K7DE4vbWkZHOl0RiiJ9wlVa/y4IGuLihFFYBcD6zph+g4h4NOy8DlGDrpG1Q3WO+YQ+H2M9G2DdY5v7u4RTUOzrXgEurKkcSZ1DWleUFWNHM9vOaYsF+Z0n52E0mo6odl//swfEMzOoWKkfrgn1RW+rtHlRBQC0bWkdcsn3GXakoght+MvAm9f12zG5Egp7/HG4GPk8e4eUVWkqmIKId8IHQ4XYHhZSIYhm7Ag313e3eV9j2NedJrm2kLpuutz23YFzBc9LFp/eeds7ZW8KHKAoi8tGa1lESggtYDPAmbLYvpjoPW93us3Vu8A9ZfUnwtK/zPc5d58plvs/TVJLEX6wrSEEH+0bn4NThPira1f3PE/CZyG9BYJdcuc3gLeAlJvJz3l48vgU0jBsiS2S2D+uuYwfefyzzZ31cAWgsMHwbpl/es458iopoF1u+ZqL8sVnE5TBp5SZqncMFxzubWGXZ8uaQHZdV9VGfCejiBEZm9///3FqX+5Jp6OiW+/zdvdwtWUVV1Gng4j1DaLc8dzBqcxJJq2wpgNq3NUjtEJqVtitEzj5TicYI3Fff9EZk4hT4iyl8c5iikDWEemuS0Ww8MOPnwUnF5nUpogNdRNxesxst9/whhLVbWcJ5jnSHAWFxuEH6m0o2o9jT5T2TyxKYaAVCPLuuLXkbrxjKeV0zhwv29p6hqtelhX+p1gPK/4GJjXDe8Sdx8CSQgOraSqP9H1gb6/w4fEFgQEhW52WFsTo2dZBuLymYeHHU39iFWSJbzi00IMjnk6oWzC+TPaQNSJMK9onahlBsfOrcTzSkiC5Gs+9haJylhijKRDR6AlTd+zoWh3FQdtMVLyeRpYnj9T3x9AaBYfEevEMp85ec80DRyHz8RxprUqm3ZcwHDG+o3t4Z5oLFoEhJFEXWHuDohpJFxixlhX5JajKUJKLK8jXgr08xnRVIhxyOfdNGGXiUppts2x4TkiafqOxlYItzGuI5uUtFJSOcf+sKdSim1bUTFgass4jIi6Is0LlTbU5+NbhEaaF4Q1+S5t21B1jl5S//RPNAgO3vMhBszDPbZtWCNsMWJIIFV+7+mUxejmsp1hyGNIvYfnZ3zTMITA4n0Go86xSYmqa8RFfC4A4Rz+0sZPQl5jOoTgzalYzEsFMGbdwnWBKGC0sLbFaHU7AWrb8vdlDN1twP8llQDnvtShwnV/ZTEsC+m/BkT/M1xf3uu9/ox6B6h/yfoLLBi/Onv6J0D2H4HTm7GpUl6YyYtpqRzHH4HTC2hN17cCV3B6u+svwGm8jjYtzKl3F+b0sstEfp0AYsy60WJGenvfxeRESqxzeptXvyzZ5JTD8oGbKVIJQXWZDb9u4g2EvjGn7kqETFN22jd1jn0q1yzvM8hclvwzrfI1b54yuq7rLD84vcY8NODil/juu3y9JWUQPU+Jwx7GIWtdl+V6Y+DWyDhcmOMkGE6ZTRWki/FXYUyP1DVKOpTSaG05nsxbfuuaIANRSQafL2S2tLr8lgMZoK7kfFNxMUNZfvfYs6sT86hxm6PrBSFqQogc7gJCTBgtOU+JZZY4N7DNdzR1Q1VDbScOdx4lDSl+JkTDfv+BZaqZz2cQgWkY8W6lqTeEWEnLAV3v8iSsIbEuA8Ps0FrSPywkufLYdnz8W420e6b1yOoijUmsrsKaBitapBKcPn0miifanWRez8zrK7vDnm0dCH7DyMhjt8dWhupvvuX50+9ZxxE4Z7e8g4/dHa2viTIhlkS/tyQHgcAcPaNYOE4vaANVUxPGZ2QU9LrCuhlnLDOOVgTWzXH84QlpIqau6bWkSYF//vzMtx8ekSnSrJGnf/of2H/4HfeHe5T3bGEhWkNsO2opqLzPEpUisxlOeUY9idO4sEVHWiJSJcx4xm4L0zwjUwa0j5XF2IpXn7j/0MNw4nU4Y1NkTJG0bRil6D9+oFOK6D14R1U32HXF7HaZuew6qqdPaGMgBMK4IK1+C+6XJrfAxR9+T7pMT2qFoNkdEE0NMbEJQVD5hBYpwnIJ/E8pt+/HDIbfwF9dsynFojUt5Egpa5mcw2tDf9fn9cIY2FZ0iZFK5JP3fM7saXHXlxZ7AaXtRTQeQs5MLaC0LGoFVJZ2TdGYFva0aFmt/VImUMbDwVVneqtLLQC51O0EqbJovoPT9/oN1jtA/SV1ax3/d1ggfhVw+hNY3y9a5OXl8kvT0u1mxA1ILRFQt5rT29f+KDi9mJhKHGEhEX6MOU3xyty+MaeX1rc24g3c5mlPebvrxdg0L+ItTirGTG5IJd4ipJLIwfXLeslBXa561VsZmfdwfM37MTprT8sExBBgvExuqmxmSus6m6vqCrY1ki7saImxennJ21sWCC6DU+9ht88Af10TywpaRs7nvA2lxZt+dzrmpIIUI10vqBqJICGEwRiDDy0I+OH7iPOJ03JreIrkKKk78nIwklv7XB4XgNrQI/B4Pu4nrFasrmVeBU1ncX5FyoitBaaaGOeN15NDm5ngAtOYsMqya+9o6khVST7e3+NCwK0LUTzx/L0geE2te15PJ6Rc2fcNNmmM3qGFwKrA66tmcSubc+zaiqqWGDmBXbn7RqKbDSEk7ixxcub588LDfYc2dwi/cX5dkdXEoerxcSYZi/cnji//grKWxgiECgSR2FmFlA2iOZDCQtPWTK+Rh9pQq5owObRtOBwyGx6JrCwMbmRcB1ya0EHTGEvd9YynV5zRqKrm8fGBFAJy3midxx8anHOIaaAKG2uCvm+pokcOM270xPsdpxhovKNSUN/tSVWDSQEbEySFMpDmBelWkjZ5gECIbPOIblqiXAjTxBw39j6wF4IUI1pIbN9BUvC4z6JoBHN0OGUwm+NBK5rdjiU4JgcsM1XTYLcNXVXoIrL+9Alxac3HcUZaQ+p3OTpLSURdIb77Q77Zmma2FDlKRWpqarchdnsgoQvDiLgG/l/0OCJdA/p5fYXdDq9UduqTOX/vHKFtUXXNJCVCCNLLC81hj5Xy7Ub6TYdTzEgX0JydZRfAOc/XxasA0TL2rQTyW3tlRsvIumKecu4KQL/WoJag5hJXVRabAoBLu6gcY1lw31v77/UbrneA+kvrr/3O9afKEFK6/UIqtgPxJQAtgPPNzX8DXG/f/2+C08sPbpnTAkhvNafBZ0AqlXhz6d+yq0oLtjXl8H1/NUxJmQ9iWXgL3y+ToUIU2SSSPyhJZJCqzZUgmeerJ6NcB1JMeJeTci7EENMFyy1zBsl5uE1C6zw+1GiYx5i7fZcO+svL9Xfw6RMM58t7FxhGkcmWCyCex/i2zdPpatpCCIzJWtVlBaEkXZfQxrOtM3XtMdbgVs28GNZN4Jxk3BKZGX27hFPa9lf9qbs81hSw2uLRKP7rPwjOgyCJxDQKDvewrRYhaqqdp5KBYZxxaySFFnTNfJ4x5sjH+x19n7DVyu6wMc+BplYIYTmNFpEUgjvcGjFqpdaOWhm0aTE6EcPCp08zSjZsy0p3gEpD2yb6uxbbnonpiWkOTGtiml6JrqHtDcfPC7v+EW8abD0hEgibWM4TVkNkZnJn9lVHs7/PoJAFv1ha5bjrK4y0rOOC7Sqik8xDIIWNWji2YElSoaqU3eu1pqo6YhBZziEC1iv0oUfXLbvDHp0S2/MRvduRUqDzG/PxM7IyPEeJlSvqvCBfT5xtg+oNlZTcNR39YcdmFaqqs0JYWoKLOej/NCCDA6UQ40BUhjC84rXBzwPbsmD8xHgcUHXFrm+JPuHrCpc09v6Oehpp5pVaCT7s7ojrTNV2fNjvkFJSpUDjHHq/x0TQKrOHQkB8PaKUIIVAXB2isqT9AeFyAL5sK8SnH7Kxb15yS14baBo+rTNVv6MFdkphQ8isZrkrLeH3JasthAxO7+9BKXRKOGD1nk1KUl0zbRt3d/e0F+bSPD5kZ//lJpy6hudnhNFXnWcBxkVbWgKO1/XKnu5214WoLHoFQBfAWVyZty2pssgVx3+RCdwarm71qyl9mYt6u7C+g9T3+g3XO0D9T1I/iT39czSxP7LBwnx+vf7dfr0N0i/P/SRw6r4EwPDjzGlhQMv1qJAVwV/ySIMgpUSKuZW9XDSfJcKwxD7FmEeDrpc4qemiuUwiu+8zuC3yhWtHrhiTCigMl2ztFPPzw3AZGDOnN8Y0s5zXyCgloakjUmamVMmUXesut+2dg8om/t//zzPPG+sWWDfNMlseHjTzGNlLObPjAAAgAElEQVTcVeMqZJ7qNE4Co/Otw7rA6iQu5HxWWyWs9SRGrJnQRhLCzOupxvuadfU4PPmUl2Rd6cRVfKHJxqj25rkAKAyBXWXY30uO54CQghgVhzvBaZDs9xVGS5p2Yzg7xqFHiIjbHOu8sdtFGqvZ7QR979Bqxs8vWNPkwQiTgNiweYsfV9peUEuDsA1NdcDKxLJFFrciY0SSuHuQLG5i/yHxeK/Y30WOx4Gn4TvGaSJFxeqhFgvRtZiq4dPr/+Sbj/eszpDSDItD2hUfI5+PfwAjeZQ1Mm4YpTl/+g59cLR3O8Q8EaXFiMDL8wklD/SNRMjEp+GMMJrWwrZ6gti4E5amMazeI6eZaDSq7WmTIkXP9MN3IBS7wwGIrC+fUMGRcJy3jfF8ZHt9xW2efzQWFR1iSfzdXUN76DH3O+bXE8P8QmhbBIpGJNJpzefVJag+CoWIAVm1+OMzYZ44iEDYAlErHIHnaUTYipA0SKhfX2mXjUPXgFfo52d2hwP1bo9cFtZ5ZC8E7X5/SehIoCQieOLLEZlCluBcQvbTbp/D8LVGNRaenkjOk9aNLUYWKdnvdnTbxtrvOWtNIwW9EJiUT9R0vGSc9n0efVrZ6zSLtn1jNK2UyPOZ5xBym79tudsfkCmitabVOmtZC3saQj6pzSXzt66v7Obt3emyXBe7qrq26ku8RmFTC5gsAfzl/bcAs7TuSzumSAnKdqT8kkktLfzbVv7XbtW/dqLkvd7rZ9Q7QP1PUH8SnP5CQPpvVWnZ3+pKb01N8K+A03jd359iTsu6WpjT2+lPtyNGC2Oadajp7RqwrplZFSJrSW8lW9MsctbmJS5x3cRbaH/RkZZow5IQM88ZeC7LNZKwbM85eHlOdB0Ml3GjQvwv9t4sy3Es3dL7ToMeJM3M3SMiM690pQcNoCZRw6qHGlZNokagJV3dzIwIdzczNmhPq4eDQ9I9IpvI5qoUZWctW6QBIADSjAcb+997/+LalWocIoWOKAHtZvTNBl/vUsen42vc3Pjwf/3fntP5hPdnzpfAOgvevduxzqnUvm7RUcuaQOm6JL2t1jCMErNGEAmkV7Wk7yLzYtB6Qaka7y3HF4NZT0y+IX3VBYkxDST2tCABVUga0w/AjgRgxRbTX/LNvqGtZozV+OBpywpdNRgr6drIfgfBSU7HlrAY2hKOrw6lNX3n2e0l+87QtQW4Ea1XVLXHrCvLBMZciHOL1Dsed466rbDG4WNA65lhlngbWGdFXQoOh4k5nih2z6BXnKhYbMVpGBjHmdUI5ukzSMHkBW2556APlI3mNH5kV/ZUbfqMhNBMdqQg3ZBEb2CaOBFY54F3jcBNErsYauEZrWVZK5pixqkW4zXDcqZVNZ4aZ09cpoH+6UDjKxCBiwwUGoIIlNYjvGXWNcGvzN//HjeeCSJweOiYxwU7npEvR8quZ42G7/omcdplSffhCd1WrC8nhnmkkJI4zAi34H1g17bITZMSzgOi7wjzSmNX9LqyzmcmoSAGOi1ZtGJA8P7whIiRuKxM00RRN9Ra8bB4isOetSwwwwXhLLUQlDluCZH61RtDOF+QbGXraYuS2u8Q252brMtU+jdrKtd7j/Me+h3COXTXoYsCucyUUaK7DpwlDuMNnE5TYjpzHEcOw980OFpK6rJk5z1l06CalrKqMALcsiD67jYZ5fnI2rRPXXw5N94DyRBuxzMmsaj5Ljo3B5AyOfszy5nL/3V905TmiQe+XLZu5ZW8v7yPvF3+PU+a/wFl/v/0X//bX9zmv/+X//xPOfbbeBvwBlD//zX+iYD069K+uJv/8vg6iP8LQ9S9+/9uuz/FnCbsK34enPpkg5IiMZiZjc0/SifXvZA3P4MPqTQeomCYkt40Rtgyya/G2dxm224MpVapZam1KS4qRxjmR0FyvJ9OKXP0fBbX2EJrI8tmvsrXlLJki31KzG5wqfuUMdC0Kd/0+XNknCfW5VMCm4tkt/c4+4wPJc4diCFyOkZCTNKAuHVzGsakdURISh3p+9QUwDpB23qmwWDjyjgZrIE5HEnmp3/ZPv0V+EQCqzUJoC7cgKsAOjoqIpF//a3E+w5ESfCBvpOEWOGdoqlCatN6iSxTIIaFdR0ZxzMhLhweJLumpC3haV8jkHg5QHSMo2Q+J/OLNw1l0fGw6yhUQEqBKHfoKnA5R8wy4qOkLBXNTiPrM8r8kcPOUFWGZTFchgs+WvxcUVcBUT5xmr4novHiQogCFZrUl10MSB+RUiOCJ7iRvq2RweL9wst5ZJnP7JqSzyfJ6XihLlv6es+nlwui9AjRIY3BYwliTc0CwgRSM7qB44uhevdEVJp+19HGgt57fNugxQNqOnI+vfDp/AqF4lBqjp+fkccToSzpv/kNl8ng5cpgDYeHR8q+ZV0XXp4/U9UtUQh2uqRyhugDizOYGbQuCIuBtiUMU2Jfx4H3bgKhKIlUWqDbjskY1O6Q2pHaTXBdFES3wBrQTcNOCappJMSAripK5yiqkqB0AqfTRBwnZLh1pAhljdglthOlkE2F+PwJMU/EHMIfAurhMZU69jtQmmAtUSl0USDW5RZ6vNvdgvnnebtTG9LyrrtpSK2lVgpTVTRKI7qO4D1xO+d8B/0T7WkGevt92m++c4XtTvguYD8zojlDrt6kMVmH+vWkCjcTVb4rztrTPLFmE9a63oL6s1Yps7H5zvw+PeCNOX0bv+LxBlD/Rx4x/nU48+c2+msnrp8p7f9cFenngviTaenL5Vknev+aK5sqRAKnXzOnURBCKtsn5jRegef221UPm8EhpNK3DwIfE/lhvbhmkOZSfZYJWHu9VibNqkql+HVN1455vkVV5WuCIAXiryYF918uQAysfqsMXm6ER1lCXSUwm8P2lYy8HlMSQFlEfv/7m6Z0vFx4fjHU9Tu6TiBE5DI8QxxRap+MUkEmKUMhcNYxjBaixThN35Z0fYF1UMSw9bpXrKtlHB1rrLZCvSAB0BcSMyqBgcSY/g6uZf8L8ARMlFTURcWH9wnoq7LGriUZbxACbRdpS8d4FpglYI3DuhOrO6LUwtPBUSlH0z7ymw8HpKgheIRceH1+BVq8cQQqdKE57CoKHYkiQJhBWF5+NKxhIiLo+oCUBbv2ggjf0x8utE2J0iXH08Q0PbPMIErPcF6pqhKHJ/oL0XV42RBpUxzYOmMmx7un90jvEa6g7QrwAjOeuSxnukbRF3t6XfL750/0ZSSElnZf8jyemaYjHwqNEg7hPdYNBBcp40pZFBR1iagadgpqF+i7EivBm0i5vDC/PFNoOHQdOhqqZWWYzhQPjwQPx2nFhoXPZuL94T1TcFTLSJCaqi1ppKIMK2oZmYXAzyNWCrTzNI8tuJW4GpRbEdNIIT2xqHkUBosHITFK0fQHwjwTfQCpCUWJHE5oKeHxEekt0nlKraDeXZ3zURfJBPX6SlzNDZxOE37/iGxr4pD62cu2TuDUJRd+zJmjHz6k1IH9jjGCcBaUpNaayiYBeIwk0Lgsac4JW2en4xHevbsBuY1dpW0pjaEuS6aqRswzsaqolaLM/YWFSFFVWzs40Ta3nvfZUZ/vaqvqBkT7/ksWNIPJnGWaDVYZPOZl+SdLAjKjet9lyrnbfvPyrFHNbtDs3r939Od9v5X538avcLwB1P9Rxj+5XP+ntr3X7n8NTnO5/idB/PG27n75FazGTUeK+KLUfwWn8o459ZEQ4hedBJPGMWVn35+jkAIfBSJ7JmLSw+riBjKzKSoDz3yOOc4pa0qX5Va1s1vskpRk/pgQkpkpeHA23ML2YwKf85xY0kIn8FlVcD47isIwLx6lNJepwPuCUgf++Ad4fY3Xa9/zs+DhUZCuw5F5iATAW0lck0RBaygqyTRavB+wdkGpVM7vuwpnWuqmpNBJwjCeJedZYDmTnPmGBEgdyZ3/zfY8Z5y+kMCr4gZkNfuq5enDgfHi0EW6OO77wOtR0DWB/SFQlZHX58A8RapGMs0WZ0/s9pF909P3EakXmtpDkOgiMA+fOC1nvNUsxhIMVO2JpnhEqZKidLh4YppH1sVgVCDgeXrskVHx9M4j1A949T3OTQgOnF4d03LhePwMAnr1nqLvUR4euorVC8qyYVcfqPsCP54JYaGreh5KmEygqaFxkrqomPsZ5wW9PvDbp/cY7ymLlik4ajXRyj1ds6PRikYLtKqYC8PLpx+ou5IgAjYE3pUKbSYCEtMWTCFiXo6ENeXSUkpEdJTeEI+v6KdHKv1IVAXLvGCl5YWALTTrPCOVwdiS//XDexqh0fPMeTgzoPB2IUTPZV755vBAcXpFuEicBwqz0lWKYDyFFBz2PSYE5rrBrg61aVXPAbQIyMuFuqkp6wbJlqVqtwiKZUHs+sR+CpHiK0JARn+NxQgPT8hCp8zTqkQ0NeLl+VrWv+o+v/kGpKQoCzoERYxJ0qEUlbNo75O+NYNKY1KkVAiph3CObKqq9JN1pDGi93u6qqaQEicE2hiqrk2gW4gUVVXXtztWcXecXGrPLeHut8nu/qwZzXenJrHV1zJKbo+6LGm/GcDel+0zm3rPqmbwfN9tKk/KGbTeA9i3eKm38SsfbwD1/6vxVwDS6yZfgcNfwo7+Nfv/2tCUGdIrOP1q+X12NHDNSM0ANbOW8W6j600+m9vex405TQxqzlTNZME1+ilyjbjKbntIBEgmFTI7Os839713qbNUPv/8KGXSmWan/rJk1nQr3ZvEcr2+xOvvOclmXRPAneckP8iSNakEl8Eh1Mj5MiOAyznStA3Ejn/7Y8HlHImkvNJlgQ8fGqwrU4vLKHHWMa01WrXEKK9a23GIOG9Z1xUtG7rtOriaiaYuwEkicHqOBC+xqUcRyeCUW5Sa7bEj/QMdSKA0O/kPFIBlz+8eZ+oyIqNPDXGqQIiCy6vj6ZC6VwUb+PFF4LykUC7lubqJQ2fpGkHfQ9ekv6fyEyIOTKfAyzAQgsOMqd1nu6uotaYsSnSIlNXM68cTNip8qFjXF5ruTBCevlW0ncPxwnz6BKLmeBo5XUZsMMiiQkSFWUa64gFdrARXUhQl+/6Rrippdc8pjHyoO/73b39DWxY8Gs1xiBRS874vOE09pjZ8c3hA6TZlhBYlvS7QuiF6QUWk1QV9IdB2YlElpq/YtR0+BuZxoFwXyg/fpL/AaJBu4UHDsy5Y/UpYR9zHzxweeuJvv+U8rcQgiNYi2xInCtQ48F3TUmmJRlCUBfPzkbFdccDpPHAOhtoHZNlQC83r8RXrI3sBpbOsMjDMkVoIuocdpVIUDw9Mr2f8difnlUJGT+0MdddSNB2lWxFT6pgk2gbhHRSaOG2ayufn9M9vbfp+GkPYHRA6dYwSKpmJ5McfUhj+uoFTa+Hduw13CSICHSOFFCASgBPXEvjGYI7j5qLfTFFZ55lNSJss4cpgFgW6rtF5Auu6lDYSQgrlFyGVQ5RKyzPgzEaoLIBv2y+ZUkhfPqVu53QvfL9nTp37EsDmVIDMlu52t7D+bLTKCQAZ0OZJ9+sM1Ddw+jb+JxlvAPU/YvwN7Oj1JRuV+VfNRb9gwvoJON1K9veJ+l8zpNlxf8+K3vsJ4B6c3nYiJYiYTEVXvSmSEG9A87qfKAgIyCBYiuu+gr8ZtbIcy9p0rVjmLXx+uQHcewkXMV6jDIOPV+MUZOY0YDbJ2+vrLddUEIkBxjntY5o2qZkUlNWt9WqhFk7nCWLLZRB0PXz6PDIOJWbVeA+Xc2A1gg/fStalJwZLsAPOBca1QsUOs7YIkcr66wpu9Sxupa0iRSnQBXjraaqAWxacKZinwErEIElf6Wb7Q27aDXqSIard1uflI9Ci8GgKvnkMOFNhI6xz5NBapkEgYqCtI22dJBTrnG4whPNclkhdwocPiigkVWl5PGikWzHeoKRM73s2RFvjfUDogro6p5QEAGEQ9cL3n04sZkHFR6piJtYLJvyfFHZP8+13KFaQEVRPMAvfn44I7aj1gUbuEGXN6p5RylD1NW5YUTFSS0/hLVWwvD8c2FcV78uSsigI6oEySPZdiVYFfX2grFs+vp44ziNKefpuj3eeMC/IwlEIT2VOmCBRfcVD09PaguAMy+kCXU1VN8RlREwWQkS0NUVZcXAzyozM08zxsecUImKc0RQ8HHaovmVxAf38EUukb2sW4ylEJA4jodBcFuiVptCSYgnMwG+k4KAUz8eRj8OJsu1Sp7LVMUbPQ9/ihaCSkvjxhXUcaJSCqqFaFqxdqHc7mrJGmRnhbMoZ1QoRAzGXLbSGjx+370W6kYmzJfT76zIhgKpCff/79OWapvQdDgEeH4k+IMoigdkQU/vVGDHG4IcLuigoqjoF6W8Cb2HW1EUql70ziMvdOTKbqjWxuMsgzXNnLoXnSSE7JTNrmbWdGVTGmIBjLhVlI1QGiBmYZuYzg+b7kn4GkdnklM8phyrndZmdNSbJCHKkVV6fzydPVvkc8u9v4238SscbQP1Hj18CRn9u+7+jXP+LjvkFiLwr7XNbd43325YlcPrTw1+D9cOdBnUrTV2ZUymvZfssQfM+AVKhxPX1LohbM4Dt3GL8EphCim5al1uv+lziz9stc0wNW7bugVpFliVHPW0mKRdS0otN6+dZMAxJinA+3SQJy7wF9ptkxJIy0vVwfAnJpW8Cy+pYV4n3groRfP995PkzxGAIseF0kUgR6XdsrUY1PjwhaFlWj5k0SlcopbGr37pcCSYn2NcFXTtijUMGKKuAWR3rBBcXiYBNPXJI2tI8AqmcX20/9/9r70lM6pFOVLx7FJwuFW1t8KZg302cjiuFduz2mqKqeX0WOBvRONYRFjydNhx2K30rUELQtAYznpGFQkaFMz3OR7wXgATlUPyA9QtFVSF1hyGyHGGcX7EMPHQw+5Gy/ojGU7evGLfwcV4o5CPKF6xBossTdoWiqRGyom0EwQiMG5g+vfD+8Miu7JHA6iceqPmXx0cqpfDOMK8LRRH58K5B01JUJc6BEQ2nocDKgVJUlLGg7iu8v2Aur+wedlRVTdNVuOjQ1tIGEP0ja11ymi7060phFEFHpBboGAjnz4TzC+pwoGlqgrM45zFB8PjuA++f3hPMyjieab/5lvqkWFaLdGNqyiAj87Cwf3ykFgLZd7xOA6WH0lhCWBlPL9joMaHg8+BxdcGuaime3tEIyTDOtw5HRUUcBspaYWWNDZHeG0RMAJJpSjFRUt0C54/HJMExHhUsURfw8IAIkagK/DxhlCL+/t/QZUm1zKjUeg4eHhIgrUqESvpqhMABg/es85RuYqWi1pqe5MoXuRSSGcbDYctv20BzBoBVRazqG/C8XJIsIKbJK5qtpejlkuavestRzS1T80Szsa5XVrXvb8eo65tONZuXMnubyz9ZQ9Q0N3b1XqeawW7e/p5hzdrUDH7zfnPYfwbMX5ex3sbb+BWON4D6946/Vzv6MyDzZzHr31PO+WqH96zpVXd6B1KJqTx+O4GfzodXcLoB0uAjPtydo5RfRkllVnNjSH3cPON34NS62zXnZ3825nYjZa7B+8ZsZAfp/cxT0odam2KgckttZwLzmPNWv7wGHF8j85KOsZq03osU9O88GBNpqoTE2wYup5hbiiOk4HQucHaiqgLf/1Hy8hpASAIl5xPsDzdDmFmSU32cNMb0iXX2Hl2krlHOCowDwcpDZWjqGTM7Cv2KFhrvBZdzhaXCEEjB+np7tCR9qeaWdZo1poKkQS2QFAQaftuX1NWCs8n0VOkWpSOfn0d2h5W2DIQIxx9HrN/TNZLTERyWd7uJSo8c+gTUJQpdPqHCSiCy2pbgW+w048WCjAZdriAiQpe0bYNZapSVBCERVFTVD1hhqKuPVK3jcfeIrmAeBy7zzKF7j4ySikjQ7yilpVIaWS8QBO+69zg/YJYTrazo645aey7TyK6S/O7xCb9YHB7dRdpGYn1D2RS4qFiMZfGaD087zFRggqOSgT0LVmrE+0eadkfTRpS3XE5HotKEtiZikfPCbjRIWaIfNM7MMC24acDua8LDAZRgnFf2ZUP9/pFi1zOvM9Gu1FIQqwrsTC81qx9YnER5gyTgpebT+YR6eKC1mioqTtMrxtQ4EVFasEfS6IJYFUwxYroWNc8EkTpRxKQRIUwTZVfhy4owDFQiIIxLUUzjiOja9J0vigTgjNm+yyIxp1UNTZO+lwq8swwCzMtn5PZFNM7T1U2KjIoR0VSbXj1NOEIrjPes60IbArRdak+6rpRNg54mKLcOGmWZgOO6JtA4DDc2crfbDEpbr/txTMtyt6miSCA5O/Qz2MuxUdmVWRRpXU4KiPHLbe/1onCL7riPgcqTbAaqubVpLvncm56MubG52dl/310qT4550s0A9euoqbfxNn6F4w2g/j3jz4HTn1v3t7Kjv3T++VPnFb9sXxrjjR29L+9/rTv9ApxmKUBIGlLY5uwovzjP69wpRdKYboxoIOlNQ0zxSJnxzOTBPRt7LyWIdzKAYdiMUMtW1l9v4DSbi7xPDCkR7Hp7jRDb9aCIm3wu8vJ5yzW3CWS77bnzyXUvROoIJQRUtWCaIk0rGIZIUcAP30faruBsan7/h4XzOZ2nWWvGqeKwF9RV5HxJFiwfJZczBOvTxV4Iymo77mzwSBSWWp2RYcEtUFae4CTGFBzHChAsSLi2KpUkcAqJGT2RgKoE9nfLNBKNZuSp1ART45A4Y9ntNWYtsW7h3dNMW5aYFYYxsq4TVTFzPDYoIh/agbKaqaTisCspa4FdR1SsEfKB+eSwIekRkRVtNbDEBSkUStV0Xcvr6Uz0A4XuiVw4HBSwR1UXiiogxURRtogoCEJhZwlNJOBIHTUPVKUihjPDeKRsdrRCY5BM1jDaz9TK0h52FFhqaTHGEggosYAuOI7Q7SKXxTLOnmU9YdYLhSyRMSIuJ05xIfYN7a7CR0FXRfz5xOgdoShoywI9ruiwUJQV4psHKhGRZkEOE6qrcU/fMHnPu6pkXCy21AxNT6El5Twh15W4k1R1gxaeYrlgg2OMGmVOqFKxCxK963DzwvPxTEBQrzNdABk8a3DgLVW3wyqJ2Heslwv9NLI6wSIVTkt2w4gIkbkrODuLOV3Ya1BRI7oWnEvM6bImUPb8DCGkSK4lOfZdUWDqGjOkLNayqjDrijm90kmBJBKWlbGsKLoOva6w3yOkSIkBxGvfe29WxLoimoZYVUkOJCXucklRVa+vCZjmCaCuEwDNJfWiuJX282RSVWlu27pAxXXTeW4ueqHVDfCezzfAmEvzOfLp4eGmdc0RVxko5g5T+XUx3jSlOavuXlqQ5QQZsGawncP/s1xhXRO4zjFU17LRHWjNLOp969O38TZ+ZeMNoP4942pl5x9Wqo9ZHvjX7uYXgOR7FvL+Zv8ncVLb+/rC/LS94MqckgBp3HSk1/1tZf386LeuTZEESu+7Q2Vw6jbm9OtWpnnkxJcYIpfLrePgNEacT4DUbkH7hQ5Yk/btbDIm5QD+dOB08fQuva/PR3GVm6Uw/HBtwW3WgBDi2tRFyFTiliIyXtK+X46Sfh85vgo+ft5xuVSAZxwU3hXsd4qIYJwF3kfm0TPNYvsckuQAaxKz6mAh0BPo2glrF7xvaBqwa8AtF0Z2RGqS1zgD1Otfj6Q1LUnmp0gCryU3s1TBgZKnB8Pp9ExVtzi7o61rhqOiKgJtMVNJx+ePAjAU2uKj5cUE9mgeW0+78yBWDgeFdStuhsCEnyYiB+xaoqRG6Ipdn9haFR0Si42R40vAuECIBo1F6Ya+VZSlpmkbVNVynleO51cq0TJbQdt1lPKAEROGM7+pD+z3O+wqEHZOWtCmZPrxgpnPLMLRjIZaW3ZVi5AVp9MnYgefTkdms9BWNdXlgFuhJLLalXka0MYhG8FpOlP3Ba2uUMGzXp75YVagBbVuOPhIf7EEHP3ukSJqtJ1RpyOqVIjf/Rat4bxMCCmRqobDDjeuaL/gZgd9j9KRMno4nSijwymN8pJdVTJVJUSYtaAdBvCBMC14Cb9tOtqyxgTDqw8o3dP0LfV+h1gX9jGyXGZCVYO3FJeVtt2x6zTWe+w0UyuIUrE6S2EtRVUSpU7/Ns/PICXCWYKPSLvi+p5Ba6bLgFSKKQSayxnOxxRk5kMqp7cdoq5xy3JtC5q1qBmcYgx6mohFQagbhHMEII4jxa5PcVLZrFTXN9NUZi43V31U+guHu6g2EChEMkbVRQKiUiYDVwZ2p9MN8Gaz1H0XqXxHu9/f1mUd6L3E4H6yyi7+LAvIwctCpM/hHlRmpvX+/d1PjnnCvTdFvZX338b/JOMNoP4t435yyM//CdrRn93sz7Cjf275z53y9RgbIPXuBrYFXwLSGyV6YzljvPWGz6V6mR83iVYGm7kyloFsjAmQXj0Od277e7Y2V79S7mgCpOuanocAUgTWTSNKvBlw1zWZi9c1YrYuTKn5wA20jsMWhL+E1BEqxTheHftlKWi2ytsyJ9e+UjAvkmWNG7COPD/Djx8lZoEY2nTNawRVDcGtDINBas8wJIYyBM1wcbTVJiWwgYEEJTvg4QDT6Ch0oNGOdVEsBkY04Rqmn97L7bkjMagDySTF9rsnAdkLcOGRlr5euQwzdTcTTDrO5azo6462TdFYr89nnF9RXDi7hZmZR3Y87mDfS+p2wsYLDkVYLzg5M5wnYtgj8ZRVh646Kh2IIVLoGYTH2B5nwIsX4hrZHUqkqnjoZ5ra8fS+5d3jdwxnxeUyE9zKhZlGVTjRMZtXVntCF5ZptgRTUBYdj+0ON104Xk5IEXnX7mjbilILBIJ33QNVXTFy5vLZcjQvWOP5948/YNbIrir43cNviYNhigNtW+IixDKyziMGx9Q2vNgB5QW7oDjUC6iS4vGBaVxZzxdas+LMij10yCIS7YQKgpXIIDVWV0zzzDh+ZlhW3u96tI6prec4IZsaFsd8mYgyEueZtrrx8e4AACAASURBVCjwxtFEz7IYGmt5EILvmo7HpsG7Ba9qvpM9a1exmpXlcqb3gXe6YlEVjbXoINC7A6EpmOcFjOM3hUrHnCcmrakkaKUR60J8PeJCwDqLMY4yesqHB0yMTMNIV1VQVnB8YRkvFFrDPBGsg64n9B1xGFG7/c0kFELq2rQZoMQ0UnYdlVRM64rQmjiONLue8nK59bsvigT6sv4zTzJVtQFL0nNrbwAuG4yMTUA07yc75XPgfpYArGvaR9ah7ve3bfOkkO+ulbpFSN2H51ubJqG2vbn0Mzt7X6rPrGpmWTfW99oAIDO098kA+T3dMwtvbv638SsebwD1L40vLOk/M/7S5PA3OOv/9IK/sO4v3FV/DUwzQ5pL/9d1UhCj+EnlKDOi2VnvfCrZS3Xb53W7nwOn4ZYUEMOXBlwhbo74q2bVp5xR7wWXS+qotC6BaUr7VfIWsJ/lCsEnJhRgXtM1JcRkbvJui5ca0z5SbFQ6uNaJYNGFSNmeZfpsylLw8ip4eBBMo+V0njmdJhCCump4+djweiyIwLTIFH1YeNoKptkDIyEujMfAMkXWtaKqerrNpS+IjAgk0EtQeIaTR2uJVJF5EZy8JOJSusFVT8rdYzpOKumvwEcSW+pJOtQGScGBCDh8mCn0RC0Fq6+ZTcnDbqJrC2LQnJ49KwPwmTHlLfCoJGXx/4C+0Ow/UFeOuEwQJFE7hqPGhJK6eEIJTddIfDjjg0JrSVFFhtEznV+I2mJWw+GxZFd3PD017B5bqnpIeZhOYFxBGd5jyzPRLURfYOwJqxbed0+UoqMsCo7n7wnlSFe0aKERxUhdt7zffbvl40aKqmb//h3WXRiHCNrDIohOcLkMeD/jZ8FONrw/7Lks8Nle6FGwjhSF5Ogsy2I5HZ9pPFR9w1K/wwWD+PRCvc5UQuKfHjG1xElHdIHZrdDUFN2B4TTw/cvvCd6yWEOQ8Hp5oXGWtqlxRcX5hx/wqsAuIwMBIRSdhKOfOB0vqHXlsOv4Xd+zLyqqSnORyajTvHukXCaq4JFzoCwbigjFONKUFbQdOhjGcWJZDZUSyKpJ80DXIacBGyva05FoXUrPjZ5pmFBNydLuqb3HBoHcyuPi9RXmBVkUyHlGr4Zxf0C0LXFeqA4PVFtMVcxGIQHMM2KZoWlQuz39PFNqjZsm9G5HdTmjHx5ud7NZB5pL55lBbZpk1MrC9K5LpqqN/Yxum4hyab/YGM3djqsWJ7Oi+RghJICZJ82cHJB1pF/rPzOgzUA1yxFyST4L4fPjfQKASwz6NYg5A9k8Ed7/nqUG95P5z5XB3sbb+JWMN4D6jx5/40Rxr7f8yW5+KWv61Y7i1qUpv0SQIp+uuyEF3ucc0kwSXE8kl+s910xS5zYdqfxisy/BaYxfMKd55LK+FAlQJnB6A7AhpBJ4oROoHMfk2HcO5ik5wpVKzwHiFvqfzwshmK5O/UhZBOwW3D+NkXESWJc+Fx8lksjxmD4XazbfhJXsd0lScDjA6eQw9sz3P3yiqizTDD9+rBiHdxT6wDRI1lWk0PdGcD5Dwcj5MvJ6bFKfcx8QcSQ4jXPNBh8FLam/ef6b7PcK4xuW2fIaVjQGlygiUnvSe4CanfvLti5wM0kpwNEgeVfXDIumVS+sJtJWium8oyhKHppIqQMvPw6AoJIDY3BMeBpmWip2XQDpadpnjNPgK2wQxFBhQ4GQgoIUPq+qiMNRVAElI0X5G6ajxzkN6oyII3UV2PeC/d6zay58eCiQ5Y7huGCNx7FDVCfUBL/Z/28UXnAcZ+Yw8dQ9UbrI5F8w7hVNR6UrdFlhkbzftTwdnpj9zCQmKu1AOmKo0QxMs+Nysrh1oCVC0SBkwSIXjOxwbqJyC4VqmbXj8zyjvWFFEJxlqRp+HE6cpgHGhfdlyb/+9n+h3rV46QgY+qrFFJKZnrha5GTZIznG9GXotCYuA1FEPrsTmIWibFinhTWcQCmG8wUXLE9S0a+euixRSvO7pmMvNdU+5Xvqww45jzAN6GlGIHBVSx9AOItRmth1aLPgAesCoi25nM8ILanqGiUgVDXF+ZQC8mPELAvTONH3LWK3I3rPxTjK4Ahawx//mKotwRKNozYrxYdvKLTCWYfa7anahiJ4Ypk0lsI7sDbFRrUtsUlaT12W6GXZQO/LTYOZQRrcDEdKJW2oEGm/mbls2wS2MwjUOgndl+VmfhKwddW4dY5q2yu7e53IiuKmL81mpjyB5uYAmT3NLvsYb4DzHrBm4Jvd+0lAnQB1ZkXvj5cD+u+zVe/1p/eT7RuD+jZ+xeMNoP494x/orP9Fy+8FpH9h/1dwKsT1ZeIravTq2E+06rVMn5dlljPjImtvpMP1ZSJFP+V1wE/Aqdi0n7nNdQyp9G7t7dyCj3ifMku9g/MptRpN8VAxaUAVLBs4zdKuuHV/Mia58L0NeHur3EGSmc2z2BjYxIyvayr5RyGZ10jfJaNUXcNqJUrHTVpg+Px8oaw007Tncgy8vo4IdeK81pRlS99DKR2vn9N7P10MyxIIqycgcAgkgtEZDApQdER2lUwtx4VMcVerYFrBsCNisFcjVMktfD+X9x2JLc0tSx2pxC+BhYaGHseyFDzWXSrV4plWyU5VNNJiV8/LsBI50DJzCgbDngdW2qakri7UlUbKAEpjzAnZ7JknQzAtIZRIHKIISDETYqCqW/x6xMQOv6ypQrrM6O6ZxV54/1ix6waKZmBVR47nJ6rmOwbjmIdPiFgwz2esG/DziYfHFqkP/PjxM+Pxe2xVcjr9wDSPPL3f0/V7HnvJJYITgpMZMXaiaVP013RZ2DclR6NYRoMdXliEQ6sCHyPvNnPQdPqBh7oktnu6SvPyxz9wPCU5QL2rkD5yMI4uBmTQhF3JUCouwdAHg10MoWronx4ww0g8j1gHVSvRlaY4B8bpTIiRtqlZpok5GD4ax+96gSoF5RgZ1pGWwPl4YSDwodnTFBX7TrHb7Si1RFQFsShp1okQPNM4EaUmrIbSOqqqIjYdepk4vnxKHdvWFd1W6Eu6E/u4LjQSGuPYOUOBvJac7bKiDjtE16UgfhtQEoTzNNPE5BzazEQpaZyl/PY7lFRopYhtnwL+lznpQ61N4HRZ0mNd30LshUggUmvE8+d0R5jvkvMkYreIKOduetAczZTL5Pd6UKXSvHM+p9fUdQrlr6rb5JWjm/Lrcxm/aW6gs2nS+tyt425evE2g4aaTvZ9/s/Epb5tlBXlCzGkC+b1koJ2Pf83bu9NF5WV50n0Dp2/jVzzeAOpfO/4ZYHRb9xN/VS69/7Xn8ifAa4wJuOWSvPja7CnEF6xoNgLdj3yNyIe4glORznHDtCh5W5fn1ODjNTdViFuJPYNl2IxJW96o9+k1uhAYkzSiZk3xT2aN1+vKukSkEtcuUEkOkMxNy5xActbPGgPWCcYhYk1knpNkQEo4XxIgjBGsixwOpA/JBrwXCJE0r+dBELxDsXI5KV5ewRqJlIqXjyt9v6IpCQYui0f4yHSBcdQYH9ksYhQ4Er+WSvUHJFrDskbKSmxZ3YKT4S50f4vRuYJSf/ezkABpLu3XcG1t6nlAIljRbBFQeJZQYtHsBVR6wgXBYEGgKVj5zEhJ4BsK6q4B9YmmdpTVxOpWEBVaFZxfFcsaqGuPCIJ6Z1Le6frCXj2igsTHJy7HM217ZJ1nymZgNf9O13vq5pGmlygdGNaAD5HikmQK6zKhbMuu6KFV7LVDrZFqiTjvOE0/IJeC0/xMFKm91yl+QsUeLWp2fU/TlNS6x6weXUuMMZw+jRQXz75qufQ94/lI05R8U9WUIeKryK5p+ZcPH5gvz/z4+Y8IaxBKU7UQ5gVnZk5OYHcHPnz3jqaqIXg0llAXhKLm03DC/fsfKGXB4BytVighYbzgpws2BnZSUvlIkJLXYaR+qHHR4yaHdwvtNFMaR1s22OjZScm+qWiairIuEQ8H4rJSRENcZnoh0GWDGWdUgKrrkE1HmEekt1vqRsAT8Hbl3a5HhICpes6fn2mUpJNJjsE0EZWmfDywOEecJoIsoCoIxxPNulBWFY0IuBgptKJ4+BblPFR1MiJplcAp4sacrmsK/28aKMvk5pfy6noXnz8l8On9zUWfdaUZKGaWMTvzsyM+m5+2Uni0LmmCtnK60JtmtGm+LO1nBvSeBa02VrZp0vrc7jSbn9r2xrLel4yMuQHOzILC7bnWt3iqZbkt2xIOvphsM3uc951lBn+PGfefMP7Tf/1vf3Ldf/8v//k/8Ezexq9xvAHUvzR+6V3qL9WN/tzyv3S4P8embrRmvMO4182F+AKAJj3pddVW/v9yV1dwGuOfZk63G//gbzFWGWxmE1YmQvIGMabXECNCiqtGVavIMqdSvDFpHjcmbSPYzEoarEkMaTJYRZZVbHO+wEdBXSYwak1k2vJSrZP4kFz4l0FSlsnwVBaRuorEmHNTE6O5jD7FIRaCcVYcjwWfPjlKaTi/gneGrpL0DUyDo+0l6wqvrwmAr15QIomMOASWyExLQU0vRJb/0vXpg5xneHH5HyD/0QwJiBrS17XY1g3bMkkq8QfgMxApcDwSmVDscRigZ2JcSgoUhzKVQpdVYbDUpND9FyZ6LDVHHp46lHDIrmT1r8xO4sOEPxtGVRDtnqp4oqCl7HbUwhDrGrVrwWvmC4k5KwSz+wPSrxSVp38oKKXg8GiwYYW1Q/oS4RUuntBR0codVVtRhhNWBy7LwMoFKWa6SiLROOHoqpZVRpZiwgwjz6Pgu8O3vH/seN91uAV0MSEnz3zy6KLk8L5GFBVVeeA3zfcYO9Ht91S1pFCKJ+l4dIZPzuOUxARBKwLruFCEwHOAsmsoy4pKKyoFvi4Z2pphPOKN5ePpzOei5n1/oNACYyPRG6QSPDQV9rhwEgFjFmTZst/1SLNQ6IJ5OOPXJVnefOogVUVJu+vomxr90Kcv4TBQCA9rYgelj9TngaqsEE1NcAG5TBhvcOPI0+ER7RbOdcnRW6zSdBq4DJQCZutoVESsC7JukX1LaQx1XXOZF1RdEJ5faayhLAoqm9quiccHYtcn137XX12KuaqRn18nob6/AcgM/ooiMaePjzeGdBwTEMy6T0hAb79Pc5oPSeu5rRdVedWZXplMY9JryjLphaoqldXL8saU5gktl9QPh1s5PTv4vzYnwZdZpZkJzqX7nJkH6Xzyh6B12q5t0/vOgDdHTWWdat7//UScGd77Cf0tB/Vt/MrHG0D9R4xfAkq/ApfxKzT6k7nmz4HRPwOeIxu1ma4UP2FHv846/UJ3yk0f+hPm9D6GT8TEnJpbbmlEfAlOY5IY5HmXmPJTMyCVIkc+pe1TAH/EOsE0p6goKVPkU3bqr3NiNjP5kjtEZZa2LFKzmBAF0ywYL+nEE1EjuFwEUkSMEZRFOueiEiyjp+tgGMV1v1LC8Gq5jIrPPzQY98JluOBcpK4KHh/ecTyVlAX8+AfHMnosCkNEULKyx+I2mFjSUNIVepM5JKe/C8kwtV7Z1mRmSj8jKWwf0h90u+CxkMDqTGJTV6BlR0NBjyHyAYulp8BzQXJAUZcaZwWnKBBU1KyMnJgZ6el5Kld8NbLK39P1DTGAomRxF9Yp4H3ERktVnKgjlMU7dlVN2+4wRmG95TRoqiownj4imzNVsefxQbI7AFrQ157VriyzZzRnSkp05YgEZPBEP9GVM0Z6mEeUNMQYOZozbrW8/+ZbXsZn+sea2kU8kkqVhGgRYeJ4eUGsjgcpmNYU7aT6mq5p8atDz47/o98R/uUD3g5YO9Kshl4HlNK8eMPJLcR54tEZFpOYwaZoaZVHxGTeo9RU7w+cpon1ckShGNaFYD0LK2GdqGLJQ53SBJgXntoe7RyL9axI6i0mrFUF4jzANPHH4UIlNZ1SxK5BK42qS3h/YBwmglmoSBpHVZTEy0AwSecp2oYwTFdM4xCgCjQOURQUywwh4oZL6uA0T5ymhb1WXLxj7XcJMFuLFoLGQ1GW2E/PFDFQCpHA6Twj3r8jNm3KS80RTSKF70djb6zmnPoPi13qyBRDvIHTsoSXlwROjUkAcdOiXrVAmeXs+xsLKTZTVAakmfkMIZmmliF9Tdo2sbc56gmuJf8vXPBbS9UrEG2aG7ubA/br+lZ+zxFSufQvRFqfJ9bszM8TawaqOTkgM7D58f7YeUK+B6x5olbq5i59G2/jVz7eAOo/c9wnAPycbnQDj19sf//86+3/3KR0B1Zj5Ivn4isd/ddu/rBpPvO55PnxC3DqE1DMrUeV3MCpFVdwmkvt1/i+eMsizQfOGlPvb1UzSKDVrElnagwsc0g+g80MlUFtuhalY67rFqjvkrFKaYEqUpD+asS101RA4k0khNRLvm4E4yhom4g3nqYRTKNASsEwwnTxyUjm4eUzXI6BywWE77GTAmbqCqqy5uVjiZKB4yW91qGQSCwRDVQUzJRASY2hKRasU0hZUjcF8xiYY2C96kmz8ckCr8CZFLSfO0T9+7ZNKtzftKeWHoGgpaMmQZOagMNieMBSaIGPkil6CiKREy8cKXhmx0Td/JFQBerSobXFTAtt9a9Er4mmxnmDEmda2aPVkm5iwpGy7tBFyfkiGS8OhGf0jrKb0KXnu28VVSPYVxNCa+wMdnRMg6FvdrSqx15WvJx42vWJdVzOoEDoknfVjmE5oXVJbCNKBr593PPD+Q/EKOm05NA1OCfwK4wvH6G3fLYlNkLftOxkyTpYhHDU7w6sOtLZgWqZaQtJbDSxFKxmZvjxhDw/842Ff9MK6xVnY2gqx3f9gaprEXXBu8dHGiGYgsOiWLzF2oCKkYbAPJ4RvkEuE+2+x68Ly+wwLlLKgnfR4aylXFb2PtLtWsRasNQ1Smq6skDVFfphTywU508vqRkCkaWuqMaZLs5ImdhBSSSczsjgU1m/71HGIqriWj0p6prq049YHzgJwWk1PArBrirxdcfJzJjjkX3bomRB6RaK05lWClgNSsakI/3mA1FvYf7Z8U66CY5b6zmRIjVSlaRO+Z4ppJ/EkDYNvLwk4HoPTqvqqkm9gri2vZqfopCp80bTXI+ZJ62IyGWXpDuNG9OajVG5lJO1qHADlVkXex8/Ze0tZuqeucysbmZhrU3nn7tRZUY0u/Wz+SmHON87SrW+7ee+lJ8d/PfZqz/HJryNt/ErHW8A9R8xsjMzjz8FRu/HvfZ0e/KF/vMvgdGv9/mF7vTL0/j60DkQP4HTL6tJeXnORM35oNfQfpKDXskEDnNZ/wpS/e19OBs3ZvS2TQKToHQqpwsSwDRruHaHWpYkP5AyXcekFNfw/axjNTaxps5LrI1XmdeywLxKhnNiXK1LF+Z5Ta59LQPnV+h3CRCXpWQcAtE5XBRcLo7gFqy1TKPi86cSrTXTJAheU+sORZ2YIRL7+XJMBqeBQLOB8RJBIPVuknhaBjw25brqgJAVr0O7dYMSpHL9SgKigsSKnrblfyTlmMZt/XF7bIE9kpIDNZ6VRxwGTYNgwiCYeJAGEwKjg4ihoWXCYFgo8dQo6n4icEIIQ6G/Q8QeVUps1CyrxKyaEgGqpog7alXQNg80rWSZnzl/nlmLI0ucqbSgrAIfnt7Tlme6suDhMDPPC8PrBeFaKvFIUY74ZcUyUOqaXkse2op59XhXUEqDLguELiiKGn2eaJuS/5e998qSJEmz9D5hSo04iYjMqu7G9AxWgE3MsvCAZWET2AEwINWVmeHEiBJRofMgqm4eUVlVWdMNVu1yThwPUyKmbu4uevX+997fpjMmKUiRHAK7XUe+jqTkqbseh0ZOgpg9Kc/MdiTInvv7HUZp4vUZomPRmWrfEJQheId/OhNerhiueK1p73r2F7g6SyMFqq7YfXrgcb/jH/o9n3cd12VBZcnXy4VxmEmLpZUSlSQqeL5GT1SGJXosGbl4JhfYEVFK0C6euq6ZgeUyIJPgd3cPdFriux21hOQty2yRObDrWkSMxHFmsgvqeEfVNPjhgvcRI6AyhuQTyzCWVrhu4SoqzLKQY+BRKYzUXJzjEAL7+ztS3TLYiacQ0ckxKMNxPnO0C0ZJmB0qB9AV4nc/kn0oYHDVkzLPCKOL5tz7subM81u0UwCWcSIYgx5L9ql+fi5tVbfM0Q2cblmnWyzV1tNeiJUdtW9spahMeQLf8kOnNXduYySrqvy7Xss5G7DduoNsi9xmzNqA8mbM0voGHDcWdAPOy/LtfrgB1C1SatOZbmzstm1jZmMszPD7cOnv1/f3APnPhfd/lPk/xt/h+ACo/y3je6bz+/GXTEzb61/Rjf6q9vQvgNFfu6z3hG2ZMr+xnpvm/v3xhTm9XZ+UEP0NnMYk1liqAkCVyigBYY1w2tzzOZWgfyELWA9b2X41aKUs8KGA46raujSVOdwCdill7tmKN1PtOJZrs3MBvSVCquhInVubBGSoGolfEs5lhlGwOPBR4lwBpNdz0ZFCAba7PUTrqYyAAFpkhjkxDAEhLljrmGfJTz8nKlXx9McG5zT9QbHbweurolKS15eic7UpsGCRBBY0kZq4/mlpBD0TCws1LW0VWVxmZsQCpWQfKWV8SwGh8/qv41a+PwGf15+SpmSdDggsFYLAP3Kgx+GI1FxIVLwiubKkHQuGiKQlcKH8ElTM9GpAV1dMJQn5iksJ5Z9o1Y/YQRDiRI4Sk0FWE8ooamVoGoVONYtzjJeJSl+x9oJXXyEnvuxbWr2jNiNN98rpqTy8SN9jsqESmjFpcnTUOnF/TGixRyWDUpF6L5CpJ+SJJBQiQ3+AWtSMNpBSpBMVh17hncNnSdVqbNI46+lqC9Gjq5YkFE0vCNMrrcg8Hu7IxiB15Dy90Jw84fVMs9uhP/WoBezLCzLCQ99R71ouMvNPxyP7SvP7ruP3d3c0xiCEZrpaupBJy0TwkVOw7OhxUlInSVCReUlY5/mxrTmKyDhO+FrzWDekEHCLYzE1utFoYzge9+xiIKXE7CNSJlTbIpwjxwjakA8NNgT85cQ0WrTMzEpj7FyAnMkIpciqRp7PGClohcDoCr0saGO49i1C19h55Nk7fEpUKNIvP/NEpjIVxtoCTvd7xGFfwGlVv+kvs/PIrl3b2q4C9HEs7Ua1ImjNcL0yC4kYB3Ld0Dw90R4PJCC0bQGtbVuiprYQ/K2sv4K/bFbt6FaezxlyuoFX528gt6qKLrVpbianabpFSm0aiK20v5XoN3Z0Y3A3hnMrub8P3d9kDVtr0g2cvi/Nb8au7XqbplzHdr61NzC+SRo2ELst1tvi/Z60eA9SP8bH+DsdHwD1t4y/Bki/P/Y36EZLGf7bze/3/+mO33iZbwj1T9ezN3D6zfXdXksl3o4JPq/r5QZO17K+KkAxhsKOpnwzR21gOETxlpGa8zZXkQAYnbFTea8Qis5zM0NN001KMI7FhW9dcdrHWNjbnEr8U0oJ74rjf57B+2JQGq9xZVbFSpwIhIRl8JhKkD0IA1omoismqvNFrPcox+vJkxbD01dByoLTZSJkQ90p9neWP/yfjt2+4uWlYhw1cw4oRgIOg0CyEPGUnlCKHohYJIm+jvy8ZCCuEHHL7looWtPNsS8ogLVERcFXCoO65ZwmoEezADUdE4KJzD0ZiSTQcyVwxeMI6/vXdJyAB0JJVL0ThDjQ7zpUlThfNGBLY4TREVxCN55aPyC1IIuF5Eeq/gq5Y3ITOEsUhiz2NNULrVJI9UdmJ6kayLElXXouL1da88jn/hMySq7nZ3Kz8PvPX+ibBpkSo5jwaqI5tKQBZnFhshek9+waQ0wTP88jabF0RnK3P6DpaJQgkJkuM3a5IIk8K0HykSYF9DLR2RrTacLuCHUk2hk/XHCnV76iUHtDKx21jZyXhZAyQ53o9vf8UGn+IXo+HVqMbmiNYnEON9jSiWtxJBHZS8OiPcduz+IcWtbURhG8Y549Iji8W6iaugg5YuQ6L/i6wjQNojJUxwOEhWG+kkIkC8nu0CG9ZxpHojLQ9MQVjKUQWZxnf+xhnMla8ZIiKjkezQE5T+AdoxS0WtNu2s2uo25q3DRhk+clRi7A5wgHNyGk4nUamFLmPgd4eEDsd+RpJjft25qRU0bWppTu13L0FsAvuqLjnE4nXhAY7zDaUD09Md4dmUNANg1insnG0FjLTmt0u86/368GJ0NIicVagpRo76mqCpPTG5Oa41pm7/timhKwxmLcwOK2Fn/f075tb879LRVgy07dyvVbjNQKft+C9eHbkv8WfbW1Ot0W1C1yajNTbXrVjR3dyvdbOf89YN0Y2O8Zhg9w+jH+zscHQP23Ht+Dy78EaN+D0c3Q9LeMd3P/WYXBekzaUores6Xqdn1SZFJYAeYKQMvllYmULIam4PJbtmm5H30LwIskIL19634pmrEt0cUu4q0at0VCzVPZvuW1jmMuoNKVMr8PosgFcmaaC/j1a0bpeC1a1cWVcPycBSFCdp7LIN6yuGudCA7aKrMMGV2Vrk/WClTyuCHz9Gy5DhHva6wvYf05SZRyCOU5nRxSwy+/LIRQY9kh8CQ81Wp3KZGrV4oqryOQqQFJ4OclEZHcQOaWYbqsPxzxbt913b7jZprq1n1nFBnBDxzpiOscCwuSlo4XLCMzGolDkFi4YrFUJAxH7h/3oCqEFCz+K95HdL5j8RPTEFHao/WeY/eJtEBtRCmf+2dyXhhmQW0kw3mg3ykqHdD1icrMxAxVPeJHj1fFjLVTn8h+JPppNaF4am2Z0wWZA217RPnAGGd6e0SbRBwXlJxwyfJyDagQaLSmPew4tvfoqqarNJfXK7vQ0LU1YzXyfz3/RPuz57HTVLLCmIzpDE1bo5YL8x9P+GVEHw/Y3R1GL/x8OvFlf2CWmufgOKnMg1GIZaSrevbHPcemZnYL8+BAONy4sNu1yLCwM4a86zBWMIaFGCMXd+V36o5gE6924hotY6jplKIRmRnJ4aAWuwAAIABJREFUKMALqPd73DzRzSNd9FRC0h321CJhhmL4CXXLCOTLteTNS0GUCmNCyX1oGyQZKkl0EXk+lQ5OKSNCwM+WtuvgeERohYqJg9EsCK5G0z1f2KeM1KZ0CXMO1dbw6UdETgWctt1bOT1rU+Z321NtQCxr2H5T8kXDMPCqNMMw0Amw40hzPLDESAZ+yBmx25GdY0qJSmv0e3AqJSFGrrPFpojIlNzVGNjtduitG5PzN3NTjNB3BRRerzdj0VaGh3LsPJfA/03nuTGdQtw0qpsZaivlb8xmtT5MbnKDLc91Wxg3wfwGQN87+9/fEzb9KXzLnG4s7aaX3cDr9+X9j9L+x/g7Hh8A9V8zfo3p/LWcuu/EoDnzlj36/TR/dvwFoPtey/r2VlBaPbGRujcwWkr1t/1vjv21XF/ySzNSl0VRSpCUDk7x7bi1e1O+dakKvmwTsryX86KU5NcqmZ3zW9antRBCCc2fp7x614vTXmpRck9j+WbsIkipgNQUCiA1Cs4XQQhFGmCvnhjKBxk9TNfEbgfXcwnfX3yJlbIWFInpFMq8WRCiZJ7hPNQEb3l9BTJUTUIqQYqJECLD1OEsDFHgmKhx2G9C8svoYNV3tvRSYFO1lt4vZWLiepTmphje8kzz+jW++7+hMLIDEoNkQFOzpycRyezI9HRAJSJLHhl4QaKQwMCFGoum5YfuE72ZMUJwOLRchi9FVOAHvKsJQVHpFqJm399hOCLamb6XhCQR4shwfqKvevKi2Tc9Iv9EbV7wPJHTTGU8brDYKHB+5LGrqKqW0QueLz/RdwnT98T1d2V0V4RJuBiohMaHJ16HJ+73hmXKYB1WJZp9Rd/sqFSPIdOnyPjVEYUhNYZPTUv840znElJNkDvG7GiyYjhbdheNqjL/uxIIodjFgMoJO1tqYzhnSVbwdR4R0aMaTd23PM0jlZacxivz4nkwHaJqOCiYvSuPFHZmbypydCxL5JfXF9qU+S/XiWNfU6VAGwVRZlwIVFWDMhVDrZE+IKeR/WIZ3cxSVfxjp9l7i06JVDeEqoLrWExJ3tMISdd1xDhzyZBCRGpVCMLXEyIDIq8Ph4k0TOjjoZTMvSdHgSQh6oZuWfg8zEQE1s4ouRDnmfa4p7u/L0uYUOTKFDA1l3xTEfyN0dt0p31PlAI3TQQhWBAs00izLDRVhWhqxhCwIbBvGsSq5RSAqCpCSje3/lrWXmaLDYGuqhBaQ05MMVI5h27bkof6ru+9aNZOT+fzTdNaVTfQuJX2t8zSjbHdYqCW5Vam38xJW4m/rm8mpw2MbvNsi+3GvG4AdwObbVsA85YiADeg+/7YrZz/Ju5f535vmvq+5P8xPsbf4fgAqL91/C1i9PfdPuDXTVN/afw1GcG7Y77Rnaab+Qm+7c4EN1OWknkl7MTav34zMeWbiWk9RkiBXLs6xQg5JtLqoielNc5qBY9ZvDUDWFyZO8ZiiJpnMJXE2lyMUE6+lfaRghQyIRSnvQ+iaF9FZh7TW1a1D4IYBW0Lzz95YiyaVWthHhJNA+dT+V7apsgEtC7AuVUOO+RSurwIQJXkAAfXIfD87BjHhRDBx4FKa/odvDzXGJOZXeY8rjKGlf1csCgUsaRWAop23V+hOYrIH9PKblFTukFtJihDKeGvLRQRlGxTSSnv7yh/niU+CiyKRKTlM/9MYMFRUaHI7GhIRCJzdjgmJBbo8RxoWKg48Wg+c98d2e8kUl1ws6LRNS49EqPAzwOVOVCbBtEYlIwk9YysL4yTZbSJnCAsHh8UdZ1p+wUhLyzhRNZf8dQ06YEcOubwiq4UVIYcQDclx93piE4zlWoJaUHpyHmwfOrviBHO4x+x9iuj7ktI/d0jVR4QVGSbkWJC1R0nJ5Gmxo8XOuewzyM7ETi0DbURdFoRpisMF6rjI+JhzxA9MWQaAzp5stE43eCT5K7SuLhwrBR3Xcex39HpCju9kqYBL2qyB+fH0mIUUM4SFOSc+eX0RPQBO1yprGVOGX1QjNPIY9PyY9+zMz1N39EcH/B2oB0HXM7MfuQaIzZJPqXyOHNtG2pdMS2Wn3/5inWOLkPT70nBo4iopqGeZhbJ2u505CDK387oEyJ6kja0jw9IrRntQkyBKklM3aCHgTyM9CnykDKDUkQ7U//wmUPb0HtHbg5l7VijM7I2iBQRQpDXsrVoC/sYtWLwvuirZ8vFe/w00WnNLARSFXlE3baYqiJbizCGZAw5BPThcGMMtSb7QIgRIWUBszGWTGQhCFqTp/nNjIUQRXdqTNHAmtVQtTGUWxTVspT/V9XNPb9pU9/nrn7v6t9K9tu2be6tW1TTfGuc2uQEW+7qJgt4z4hu0oLNVLWNbf9myNoA+/vxwaB+jL/z8QFQf8v4WxaBv2Jq+hOC9a91jfq1k95ty4lvpARbhydyCXfaDE9b1FMBnvntvYvPoCDZGIuZSalSbhYClCiB+ClRet5v4BRK3Eu+gVqxvvcbOM2lDG/njNRFI7o4gV3A2sKwClGApw/lewhLxDmBqQqoDXF168+FoVFS8PwzOJsYhtJhyq+B/ZdLuTajEm6MiJTpDgofBEtQeATDpXw2WUjOF1hc4OVlZLhYEpIQE02jaNqa86lCCcP17BiXCYdCIwgkBHH12hugRTEhShd0NJoa+Joj4Ml4CjDdQKni5tyH8mfYr18jcE+Jl3IU3empgCE0d+zJPJCJaBYyigaFByILgglIJDJwQiE5Iuj7BzopaLsLp/EK+opfNDIeiSHjrUDogDAQDXTVjExL+Vn6xDhOtKImhIW60Sie6PsBKS26sah05Twt1PUBaKgrSZsXEhEfE9XesjcerXtGNyG6GiU9OYBzjkPTki4n9sfMrBO6rnApgdQYHZmull6A6Gt+ugxwHeiy4aGqUZPlNcPn+47TNEK8IHxR+spdTffwmV2zR2SQquaHY0NWilcRkTEzjheMkMhqT200qpY8NB07Bb0InEyPdpF7ZbCNos2ZxU6EfY8KsEuCU/Rot5BGyzAuLCnSColPcKxqBgn/uDvwj7/7J1QsQG8WkqQEtRR42eDthVYljm1Htdvxi11YhhOXaWYInn1d40LiMUemytBKQdu0HJQknF4IOWGMoU5Fk+nJuOMRU9fIEJhjYokeVRnmZaG5XOmFROdMdp46BtKuRz7e0QlBX1Woqi6GqxW4ZeeRlYAt69Ta4qSXElFXuGHACkHrPMIY8jDwS05oY+iaGiclouu4qyrksjAZ8wZ0m+ORqu/fNKI5FpCnq4ocIzlnpFakXCouyvkC+jbHfteVQP5Nu7k59bd4p638H2OREGwMZd9/q//ctr8v78NNX7rFQ8E3+a/fAErnyrxb+9SNhd2uDW5M62aM2mQG39wg3jGl2zr/vpHAtv1jfIy/w/EBUP+fHPlXwOj3a8tfAKPl+BsY3eKittL+GzhdF6wY8tviKbaeoysYFavmdTNr+dWVLzfmNCeULqX1tAHTFZxK+S6GKoq3sn7OBTAiKOBUwbIUVjX40u1pnmFxkhBB5PgWur/NFZKkNpHhvGpLF7EaMMpNaTiVlqaTLQyscyBzxI4JrTJCqHLNQtEdBCEVMJyFZLHlvXKCcSx61svVcTo7ct5RVxmRa4yaWa6S6WJwQTAjmalQXNa8UkeB9xWg0ai1kaigpeYVzYQkMFNY0ZmbvrQC9pSS/pbvlfm23N9QAOoF8Bhmao50VBQYDYKWiiOZAFQkrkSumFVlKsgoIr+vM0bvUPVC2105DT/h41fG6ZU4f0alSFP3mB5iilTpQKs0tQy8zP8b0nek5MlBsqRA2wi67GjuRwb7lf/w6Z6qaVmW3/EyWPJi2N0fkLpGyZaubtjtW5q+IsQZIsgE4/DEJKAmU+UG3UL9oAgaHvQnxJCJYeB8PfG8dDwe76lMw/g8IIeFRgh+t+tQ9NS9xi0Dw8vP5PEJr+Bw6GnMjrrTfGo7Klmzawx51zLnjMqK42yRKrHb3TF5i5CeFD13ISKXmUDNxQWm2dE1LVIFdARnJH5ZuJwWDkiSnZlenvnDcCE7z/NyJaREUIo+RRolaboD1C0MA3NORF9im6LMPF8nlsXSVpLHfk9SgpfrwMkuXK3FxYSSmewCUSsufuHO9Hgku9MzWhQ9KqgSSr+CMX1/T7s+PY4rON3VFYwTaZyYgsdIRc6ZcRpZ7o6oviku/b4jC1mc82v5O4eIVKJ0gfK+lPV3fXHMSwHTRNAahhFR4i6o+57GOWxTU2mN2e3YLwu7nKHvqZaFoBR6vy8u/s1RvwE5Iai0plkW5pwQvjx6NTlTrS1SaZrSjapZ81M3RnNjTDd9aFlQbgxm193K6puBaQN765xva+9mntrA6sZ4brKBvi9M7sbWbnrTDazW9ZaZd2Nkt3/btu/fa9sO33VI+Sjtf4x/H+MDoP7fNX4FaP4m9vTPgNHvv76B0xVkii1Laj2mlORuc235pW9dpXLpNw/FyBSTQKotUkqQSYyTw9qAQGFMhZS6OP1Dfivrx1jY0ZyLTwGxJbOUTk25zMjiiqHJzuXcnHjTlvrZv0VRAYxTJPhV0+oybslkqVhsiaQaLxE7hzW0W2ODoG4V4ySoq0xOJYzf2vL5jBPEUJC19zCMktNZMI8Ja33RxgqPNrA4iD7hrOccNBlJQAEdxdZx5qYLHZB4NB3QcQ98RQCe9BYdNVFA6ZZ3Oq3nthTAmtd9mztXrv9ayp9n4kBFQjIz0nFcIakmo0gMWE54HHlti5qw9CT2dQATOfTgfGKYn1g8TPZKCJqcn0EG7FJDslS1p60rhJcMyyvzcCXnFyIdNZ5WGx76HYcGruHE8RhxBISrmaeK1hxxLIyLxcRIfzzyz59+R6sqrvaZOSWM1mjVYOfEJK803R39XvL5cCRKj5sGdMo8VJpT7hjFmXuRMBeQ2fKZlod9ixQK7xOz+yN5mQhxwtYCc3fHUcfyGeoICWpz4PHHe4bkEIsn25ILq42ir1r6SjBcHEt0mJQIdcXiF4iZnBS4BZsTLxJaMnVMDMMFERLZOYRWjOPEvMxooFWGJ7/QGs1c1TyahmUYmZXmZzMTQqTtGkRwnF5fSRLaXctEBr/gbCb4iAqRWktS8DyNC3EHcbZUXqMXx+9rjVCqgEPvV2AG3N2VGKjViZ5jIlYGdRlgGMhCIkJAWItPwGHP8umRnZaImKDvGGNCk+nWSKYcYsFQLrxpMEXfFXAa1jD7pkENI1kI8k8/IY5HZIr0d0eaEKj2e/Q0USmFXsvluu8LuPsu6zPH9AbQNLBvauqcCTGiQ8DEhNbqrUQvzBoFtZmhti5V75nNjW2tqpshaouScu62vm5mqq1L1VZK39bXLaZqkwVspf/3utQN+MLa0usdaN4AcdfdmN4tLeB9fupmstrO+zXy4oM9/Rh/x+MDoP5rx2/Ri27H/cmhvw2Mvn19r2l9vy+v5XUKEBViBXvb4bGwoaQCZEUujCi5MIoJiZRba1LIyXO9DgzTQkrFXW+qhsOuJ1MW0pKRClIViYAPax4qEl2BmyM5JXIurOk4FkCKLHmF85gJSb5pWTdASs5YW9jaxYKWuWScLhG/JAariUmSBPik3qpj05hRWuCjpK4y45CRSvDyCm0rmJ0i2MQ4ZF6eE8ElpiETExjh2bWK4TUhVWaYI1cEngLY82peEiQyklKCh9KjakKQaWj4+vbz3Jz4Z77Vk9bcjE9bZNT6ob8B03J+vW7v8CxcgRFBwyuOO8Cz4LjimanQaByRhUTHD+ITOjsqYXl4qAlzj5ADzrXFfOYPq1DhF0gaQUaGAVMHwvKJKsM0z8z8TM0ndngMC7I5IStB89By4JGv4ysh9nhv6HrFMh2o9T0PuyPHrqWpJVWK+LwQ7YD2I0lI6qpBV4a+brnbV+gYYBqRyoN0WJkQqWZH5r/XO+YxI3Vg3x253+94eT4zjy9cr7+gG4Xa1UxesciFXlZ8PhyRQvLVWWJT47rEy+sLo7PkJGirCmEUOyH5pBI6BaIS/NPhiA6JMSTO1mHPA954WmMQSjAPJ0a/0ASogiUpQwge5zxf6opZtMQEPnm6xjC7wNP1lTBO3Dc1P50SPNyxVwLOJ7KQhFqz68vDzdX5YsSaHN1+z50E6zNLhkoJLj4ho+NyOvHjwxFpdmvHs1yMQn1P3srY04SoTEnUiAHz8sy8WCIKmSIpBvwwoL78wGA00S+0dYepK1LVwPVK2NabZUFqVcDplm9aF6Antjw758gxUVlLA0yHA2JlSXfOsdvv0fN801lu+sv9/sYersCtmEhv5iShJHoFqm+6dynf9J/ieChA83otoG/Tn26Ar65vvZo3PedmWtoc9tuxGzu5xUBtGtL35fRNh7qxp113c/NvpfdNdrBFSb1jhN8A7jutLbz7nt/fM+CWw/r+PvABTD/Gv4PxAVD/lvG3gNHvXn+zaTUnfXPsbwWj/Cl7WuKi1k1pY0ZXd30uwA1WllUU8JeBEG+l+lVOilYwzZ5htNR1B0IRU9Hczbai60xhTpMg5cg0e+zkIUkqY6gbg5u30r/AzZHLKRUJQRIokRiv5fMIS1izVIsGNSdY5swylZtU0wheXovLflrAec20MrDkjAuykCUOssi0XWFNrZNEITifSml0vGb8EhiHknl6es7FwRwjWiqSqBnHicGVwrtFrupQRynDb+DfAwlBwJAQCCo8VyQzNQVwKgoAvVDC9UfKrDtuwPU9o7rNn9mc+y2SHYqE5kxPx4RnRnOhQWD5gcgCnNEc3qQGFX/kQVoOxyO1bqjkDlKF0jXTtSPYV3KQCNSazTrQmj2mlhjf4YaRwL8Q2DHwiiTSEnm8bxEqgbD0h4X7/X/E5I5h+Ymr/4laN1yspDNHHveP/P6hQ8uWcXzmcnqiaWvAsahMpQVRB/a1QHjHIajCbPY9um4ZfrEM1xc6pbmrDhyb/45Fe2yYiePA8DLyufb8wSSW+5rPh3ukTEgP/8fLmbmvOANZabIB4SdeXwVf9g/cdwekyCzW8hAFdztFXSuGYaSTYJTBL46wRGKM+ApiiBglkRHEYvnD8xN513NXdeScWbIiVoKuatl7w1JVfJkn2mliFA4ZMq2WaGWQRqDsRN80jFWNag3NPGGcYw4Z4RaUadlXcNCaXnVYM/NkYfKWbhjYVZJd32JyJkuBWCy538HhSA4RsWXACUGuG+TplXA6ld/r2TGRqVIkdx3xd7/HK4jJc21blICdj0gVyU2N1oXJE1KU9IAQ4HAopfRcrneLxsjawDCgpWTXNFRSElNES0m126G3mKUNmHbdzSC05X56X8Cnkm/HiuZd609rb8xq2xZgeX9fdKenU5lz6xS1Ac8NsK/X/vZeWzOArR/yZoKq61vW6bv1GrixrerG3H4DXDeN6fvy/vZ6M0i9L/G/d+1vKQIb+HyvZ91A73s2dzNg/X94/A//0//8J9v+l//xP/+/cCUf4/+v4wOg/pbxrwCmf1Ie2gCn4DeB0e+P+Z4ZlUqUUv56bkxl/9bFCcrrGzu6gsN4K9VLUdz2pi4H2iWSsgQhSSmj5BrHlNN6XiJFx3UYGUZLTBLINMYQXYdA4UJhRy+vsWRTx1Lsv1wzSai3KKvoIost8VEBXUgMUxbery/lGmcrWGzmMgi0KvFUW4vW0s1KsjuUY2LITGNimRPBl89gHDLXc2K6RiYriaF0o9JKoKVCes3F1lxXU5InU0xNIxpJeOt7nwG3mqEkDZ4zgpt+VFD0pifgaf0lcMArhUm9Ax64Mal5PT4CDkWFoeIBwXXVmh5YOFFxYFkzVs9kWhQ9mmot87/whQohGlS1UNdXkm8RQrAMjjAZshMEJCVD9crCCzUC7SPSW7TsGRmokBh6fuABVzm+7B84djXdwz1XH2nUA8K1hHzgy0HD1TMtA7tKY4ynVi8MXy/4bLnkK13VgqrIKWH9xDCdues1U6rp+p6rDCgZEcMFfdF8AlRjwO1p9AN5mOmCZTwNpGrH8ceeWio698K9XXjsG4yS7NqGn6XlxQXScEHoiEFRK8UpTvywO3JIikYpXtNMriqcjxAtfW1w14nhNGKFYl4sl+mCzlDlSO0Sr9OA0gZhDH6JRVJharpDw5w83N+xv4zE8QyLR4VMlTL/8HCPc44+enSEqarI/Y7Kz8TFIr2jdpG822GtpTWCz4+PiKyIMtGJiu7lmQ547Eo7WJETbcpFcvL4WFzwky1O+q1EPE3In/4FHyKDEEzDiCaxhEi6v8e0DcpZDrs9iYzShtfTmdAoWrfQSEWVCvua7fIGKIUpGahiK69fLiUb9eXlLcxea43RCpp9WXisLV+30vnhcGMZNwYxhKJ33XSlOd/K2ykVhjasLOTGbt7dlesZhiITmKayb43CYrfjTaje92XO95mjy/ItoKyqci1V9ab1DFrjloWQitGrWhb0ZrAK4QaUN8nABiw39lTKG7B8b8J6X7rfjFBbOQj+VHu6GbPem6Q+xsf4Ox8fAPXfcrwHmtvYQOf7aj75pg/dFqj35/2aO3Mrba3z3QBoOW9z6b9pUleQWtbe20KYU34zsmZRjEwpgqnKdYUgEKI8ycdcshKdDeQQEEkQfUJIgbWB4TxSVS1CFUZ2OA+kVqJlSwyFObVerSAYLqfCMKQUyZTIqMVLIuCzIqUbqztbQYjizam/NXYJvrQtXdUAJedaecZT+RxOp9KtaroWk9B1lFxHyXhJhCAYxkwlFuoq4+eE14oxKE40eAwFmA5skfuBTGE8WxSSTIXGEilQsewT3DSknlLa39jUPTcWteLWLWoL6l8AS4NH8kJHxQs9BxQjAo2gweNXTerCiOQXDP+BTEJy4Z4XoKJpM1o0LPYngm8YxhJBVWGAPRV7JGc8C/2a3+q5UKGwKeJRNNR0IiL3DldJkj4hDg12yYSkmbygyY66esFOFiM0j9WeWg2My8Q51kQRuPoTc5g4tEf66YkUF3b7mq5XHI531GgeBSQ345dEpyvGtIBUzK8RuTwTv55QTUuqex5+3LHvdzQEdC+R7ojpJL5tcFXk6Xwi2xKY77JFOkBldJaYvPD09Avt8Q7ZKM7DK1VoqdqWaVlAVXiXcHnmTkhwlkMICGcJInGNmWFx9ClzRFE1HbkxVE3F3DUMz8/Yp5/pQqINkISk73qCU3zyDicFqutBVjRaYKcLzjkqH+jajsFOxNki6opKlgfDQ1cRn1+oUkRUNVN07JVEpEglJPKwQ+92pYtSygWoxVhY1JcXZCy67mVxTM7TzxPc3bPvW6bZooJDNA1SCsTi2UlNaBqMlByAKmfMYoshanWzC1N0nMLoNx1q9gGWUwGd3pcmAG4pr0uLt2/jk3Y7Qko4IQjWotuWahhQTXtrK7pqOAX5Zl7yvuiJNl3obodQsryHUgWkGlPA5TyX99qinZrm5vJ/D1I3l7/35fXGbK7XEaRkGEdsSggpyctCkzO7qio3zg0kblmlm/b0fScoKW/ygvel+o09/p6I2PSp8C1Y/f6e8OHi/xj/DsYHQP1vGb8GRLfX35ucUnrLJ70BUP4qGP1GcL/uf5tHrKzoGoifVw1qTBuPl1dTVL5NvXZzijG/9bCXMpOzKH3qhSC4SAyJWitmaZiu11L7J2OEQUYJeLKULJepsKLrNQaXiS5hs6dpWq7nYm4SyZNC4mWEGB2Li2itgYoYdWFmQ2F+Qyjf8vlcHPvna3HxS61IJLzNVCazXJaSz7reHy6XVEDslBBKcp0lKSSuo2AaE6cnV1hil2iURqvMvCQCCRsiI5mwFsodM4XVrLcfFEX/WUCpIlOi2Tejk4E3hhUK6IwUkHtc9zewtiW9zesowPW8SgUmEjMznp4jP3PgE3sWntZ2pQpDogEiFyyvfAHgvxAZ6fc96apJusONBo8HWiQTNSMVCkVGYogcydQERkYmDJqajh/pyf0ZZZ5peoFREPWZr5cLe/VIzi1awdX+wjRIsr+S5EB9aPFIshac4jM2jCxuJPvAnALBKIQOuElx9JpaSSqtaNojKTbEymO95/WnF+w04rzlcH/k3O7Yi57HnaJranYmICsNnWH/Zc/wmvnl9C88/2I5TxcOXcPDbg/eM8+WBoVOiaghJcvL9MScG1zw/HN7T9O0nJfAz+czxkcgcImZPnpkW6OyxPvACCAytWk41i3NvmGU4EIivl7YLx4tJAuSrtEcgmacJiaVSbUpYNXOkBx7ByZA0/YcdMZJTe52VAqUUJiciZdX0lXQSU2X4bhreb4EJjtjDntk07ITgmpZyFKBKNrKfLkiTq8ko5hni/eByS2ktoUvP5T1wnn0rinLT1OTlpJIIX15BDoIQQeIsJbb1wgmkSIMthijLhdoW/Lr6VaGXjWdYp7KOU9Pb+XpsCw4pQirqcgJQQgBUVXk04m669nljH6n1Xx7iF8Balb61t2pbQtItrb8yXl/Y2O9f2M/3wL31Ttgu4HUDZRu6/Dm2n8HCh1gvadrW0ReO9kJQTWO6Ka5dZDaAO/GkG4A9f06vrGyG3O6AdkNkG5xVZtM4FfuI98wrR+g9GP8OxgfAPW3jPclevjTp97323+tRP9+rZHvyjrwZ8Ho2/lrSag43FctZMrfVHiELKXwvFaZN2aUlWUt61sJwY9ZkoVAEhG58K4iC8KqERVKQFD0VYNBEFJCCI1MCiVKNmFcIgTIKZFi0bw6GwhLQMTEdfL4KMlrDuR1SCxhwlqLEAK7ZBItIvfkpHA2oSrFssA4S0KWTGNmnjLeZWQuN5NaZ4aLQJJpZCBHWIJmGAXBZXISZBcIc2J4DQyz4uW1ANmYcmneFR0hZiyZZ6CASYEg4b7JJt1uABm4IJhR1BRuQwGPFLCpuZX4HQXcXigM6eu7/Ztr37PpVDW/kHmlR2G50NCSkVyZOOAJHIhoPM/rNfYEWgyRe56o6dC0aNXQuDtmBqZgyTRU7BEEFi5AoOZAw5mAJ3HB3NPZAAAgAElEQVRHqwzneGHigqLnrnng8ZgZ9ZmsMv/xd194HhR/PF+YB8vhWPG5eSQMMwsXmv6I3ilODk7uhE0zxIi1V8gRXRlGnZjUlTjPyGgRaOZdRUtGqZpl8TwkjbcDl9NMrDr6+wfq4EFUtFKwb6FtG9ReM7QVWQSEGxHjM85ekUlzbGt27QPTODCfruyrhsk7xuA5Vpp91dJUAm9nsvDcHQ9UGMbTyDJZmhCIdqQKEdHWUCui8/gU2PU7ZEro2PDjly8cGk0KATFNJbReSHZ3n7BkXi4n0mLZNR0PPzzyFAPKB7qUqI2miZ7+eI+YHUhDVAoXPJWWdGi0mxHOMpHxCToFioC2nh+OB3z1iM8ZnTJGyBJS1vdwOpHPl5I9XFcMw5XJJ2RwzH3PUje0UlDVBlRNlpLaO+YQ+UkIdM4Y7+mVogqhlPXrElIv6uptXRNGF2DXdeSX11JCD+EtuF4IbuX1rU1pzgxaY+saoRST97gQ+Hw4YIDUdkzeUzVNaXFqTJlnK/OsLVXfAOZ+fwOnmwN+kwlseadwMzxtxiW4Bew7x9vT8AZeN4Z108pWFWGaEMYgVgOVyBnRtoTvzUzber1t1/rGHG9Gqu1esJmzNjb1fY/qDYBvc27f15+rsn2A1I/xdz4+AOpfG78GOv/avneLSF41oG+LzFYO+n7R2Z6O3+rzt3nTZvaG1aX/7r2kXDOjb/OJlUcVqjxtpxBJMRN80bCWKmLpxiJzJNhIDMUtGwIl/kVKdN0QQya4RJaqPNwHCEvCSEWF4vp8JqJJAKpndh1aK1IuofzTmEFF5uuCMR2kTEAwjhZyRdXUZJUYx+K8n66OmASXc0kVEKnkHkYXSUpQGUVtMuNQGNf5ukBKTJcSNWPnzOWcuZwEY8gkEiIFGkDkiEMwkzm9aUDV2+dahqHoRdeoIq7AKwlDouVmarKUDk9bNyi5bkvAF1jhb5mrWed1FGZVY3im4pVYgploiFww7Omo6fCciCQ8DR0Jy0hGcGDmQE/GczAByY9E77Bx4cwVxYDkjsLnzVSMNCgkDseI40zgkRwlkY47Jg67ms93hvuHjPSZppYM45XTdGG4jMQ4M57/BRM1TSVRMqL7hcVNBD+Q/IKNF3wMOLGghaEKFh1mFhdojSJKQa1Li9yn12d6JajyC7n7PapqkceOthak0ROEYt8mohHkzy3sdyxu4PnpZ6pG0WrJ8zDzy/XMoVIcgdEteBf4o73yLBRCZpCZJSR+L3t+2B8xh8TsAnlypGUmLjOM5bpbJbjvGy7Bkawg1zXHtuPQ7RCHe/AjKSx461mmBZUio9F4F8jjxGBHrMjoSmJNYpcjX6SibQQ7EqI7kMaZmDODlEQfMZXARs8yjHRkRNPgcmayC1JlFj9T9x367hOGjNlMknntmDRN8Ic/AMVXlH3AhcB0Hug/f0L0nzB24atzvLY1JgYCiiZFkMX8qJ0nKEWVM633mP2ObPalxC54YyHFYm9GppSLOWkFjDhXnPQhlGvaGEQhcFWFzZmurot+11qGGPEpYaoKERPCGMKyFHlAWnWmK0DN6h1DezgUcDrPN6Zx07ZugfhbhmjOBUBv+zd96QZ8t+M2oLflpdb1G0up65ocAjlnhFKkpiHPM7rrCqh936XqfRLBZgaDG4B/LwNo29t6Dzc29f09YWNZN8nDN4zEBzD9GP8+xgdA/bca3y8a7xnSbRPfAdPtuO+lAe8B7jdlfVGe4tfzvzlFFAYjx4QUGbF2mCoEbtGTprVftkjlaV/KTPSJGMq1RRsh3sBozgUY5pjJIRF9MTJJCdnUSJ1JsriipWwIvqJuTEm5mUu+qtHw/OoJUWBqxeIys90C9i3ZGUKAy7nIEpbZcTmVrEhlDFVVk2LRsWoRUckzPhcD1HUu5fqXF9ASlrPnfMpcrxElBIKIprDF0xoSNaCIsFqQMrfWo9tQFEDpKCD1Zf2qKSV5sx6v12O2FqabpnTTnW45qNt7VBR2dULgUJyxZHoqJl65cF7blmosZyKvZCJ7Mlf2NFw54tFIDIEKhfaRwBmLZCGgcARA46nQBCxHWip2JZ4hwxg1nhcyPa1J9H2m6x1dO3I8CubXxPjywvUaOMVnMo4oNdFknuz/ylE39Mkwvo4sYiHGAJVC2YrRnbF+4q5uEBp8mhnTQlcduFMGlky4jlSHhi/9F8gNxuxRLAhpSC6RG0XTGMTOUCtJCFe6VDNkh6w8IUWGayYsV5bpmdOkeKgPRAshBnyIZCL/6bCjqgsbX2lB4xaOqmGaA9N15BSeGYziMk7sjabXFbU0dEZSmQZV1+wOd9wJgYwT4zBgSfiU8Uow+8B4unLxFtG0hBDY14YmQbdEJhWpSdzd3VEtC1e7ikdmz8U77rRCvYzsvSNkzwWB8Z7TskC0xKZl6ToOSnL0Hq11eVhTGmFn+PrL6rXMyBTIIZLtgmtb5O9/V/SadsF0Hb0WWCUJPmKkYF48o5J81gZjDMkHZufITV0kA9talTJBSvz1Qqhr9MsLRir01rseCjht6uKi3zSc2/q225VSvpSIdbtZgZYHcs4kpcjeo/v+lmziHIxjAaeb0el4LIBtmviv7L1LqGzbnub1G8/5ioj12Puce7OSMkuzJWjDhlgdm4oI1bCKFLIoqNJSCrKRYkuxoWahINgQbKQNTasjVRaCj5agkLYU7FhgKYompfng5nnsvdeKx3yNp40xR0TsfU9WXqtuwsnMPSCIWDPmHHOu2GuP+Ob3/77vv2mVbp2XhCj71PzQ6t6vetO7yKpr2P59J6hqaqoEgi1mLQu0xjBdLqUrlpS0bYvdzGAfhefDDQRXoHoPNmt6QV3/P3Xr1/J/Bdf1muAGUitL++n3x+fxefwRHZ8B6v/f8V0Lwj0zWsemDf2oQ8in0VL34PR+3ruF756BzQikFFfgKiig8Uq2CoHShRmtpa4cS95o9AmRtzJ3KgaiuCZCVlfCgngDozkm4tavPsuiXw3IEtQfYZk958uKC4mE5XwKKGaEtDinS3corZnXTEyanBLjy0oIknVNED0pWYLzpaWpFyw+83o8433p1yTWM8ejpVEtTdeQcjE5uaXoW2NwXKaMEYkP7yC4xIe5hCiNma2fkgAkkcwLksQMW1xUAZN2e1YUUGkpILRGRVlubUgthSU13LSkcft3rTR32N5/pDCsFeAaFAGFQvAOwcyOLzhisAzA7+L4bSKOSECzYPDM9LzZ/PoawQFDJBAxjGTOWzvTjCbzhpYVg0cjUFg0AxB5DcVI1fBEyxlpf4SyEdO29Mbx2DjctwPKa1bXscoPZBFJztJKgUmeKC+IkGn6Z6L05GVGB0ecF7w7YkWgtYauNRiVSWMx1T2sMLQdqldMbUerH+k5EBDsGo33BqciflCclomBlTa2kFS5kZAOKRzz8cLB9CRWmuxJznNyCzJl5hjw08jPDB3P+z1/smvJCPx6YecCTfQY59hJeNCai+mJy4RWkllkvnKO0LY8Pb9lkBq3errpgsyeUwy8hkAUEu8W5vOFThveDDuSN/xoOuFDIEdDFoJ+6BHWYmLGOM+cJVNOtLohzBPd5czsIqZt2CnB4EoXOH8ZoZE0ww479MQYeeccJhdtaHYOxpfCYiqNmMeyvPjNAf/8jBGCaRxhv4O+RzSa6Irp6c1uBz5wxPPiPN55dEyooUOoFt+2dDkjxgvs94TjkVFQpDnjSGpaWiHYaY3eys/ClnipjzosWVuY1S2QPy8LWUqEc8UJLyVriEwpk42hbVsaQVlD57nESSld5AvLcnX9i2X+GJzWTNPKfOZcjh+GW3enqv8UojCslXmtQFTKG5taY6a297QQ7ADbdYRNgmCbpgD0cbzJB+4Jhsqe5vxxZ6q6X9t+lBJwXfur6/++mnb/fVPn/FRa8Hl8Hn+Ex2eA+vuNe63Pd7CiwI8DzLrt02fBj5XvP3KCflLyT1mAFNfOKvKu4ZAQgpgEWYhibc/FsS+ivC5mKZXw+xhKb25pFHm7YY9r3FqhpmuXpYQkS7kRDSXAP+WieXVeoIwqfdtd4nJemOcZqQZiEDQNnC8z7uSwWpEWvwHjTCvAe8XxdSosUEqE1BOcRlAC/OdzYFkm1vOJxrYgNeuiSHnCWI3MGncKnF9K7mtYYjHHejgeE5cx84pEIpgRKASRTCAwk7ggKCBypoBPvb3uKYxnZVQr4LQUJvWBkmH6gVsXqZ4S1q+3/evfQzVOjXfz7ajaVI0i4FAsBCZmZhpO27wXYCEiaTEsCAySnyUQiRgsDarkt9Ky0LEyowmMRASCBx7QdDzSbz2qyk3NC+MW4R/ZYzg8WaaQMNnzps1IOfDtesGdHdq2vHl6g/vdkZAkO72jHSRWG6ZseDIHhjUT4sJpemWJM72xHAZLRJDjwt5FHlvLud1ztj3P+zdYZZndgsoamQVZCrpuj33zs3Qy80VwTOlIS8ObxvL48EhKnil8IF1O4CIGQRIL2TmO48Lb7oC0idMyMoWZ/WB5ai1DXHgULSkGznNArCv5oSHmSJcyUmuUDHy5f8triLzEyHsJ5xixxzPKWHYqgVB8LeDrZUTGBPPClOCUEz+z22FzptXwAyk5a8EP2pZOQyMzlsxhd0BrjXeRvATkdEKvK6QSl5ajJyWJXGaeH/ecukdG4KAVUiky8N55Rhk5nM+38nmMiHkuS4mLpMNjMS+FgBGS7vFha+cayC5hrEEKAb4oqI2UMI54axke9kSlyTmhU0a0BoxGTCN+6Fm++oreWugHslJMxiCXBf30RHQrehyxUhaD0+auv3ZIkhIbAm3XMc1zYSFj5HnYlbQCKdHDQCNF+SLaIqGysbf4psfHAoS9u4FLuJXtnbvGW13Bac1JreCzalXrsbV0fhf2fzVTwY3RjBEtBPrh4QbAa2n/05iomiBQY6Vq9mlldevnU7tP3ZuoKvNcf797ucCnXoUKZr/nGaifx+fx0xjfK4AqhNgB/w7wz1MCI/9P4N/LOf/nv89xfxb4BeAfB34W+Br4H4F/O+f8f/99XVRKH4vc6/i9Xt//nG531kJ9ckd8v+/9HfMGLsthtwVQKFnyoO5SAXKW10VXkCFmSAWMohQxbDmhPpQ1b41olUlJlaB9IQunq2VhSnPJK41JkKTeskoTbklILQk+4z24oFiiYPUK4SCugZgEyyUi84wYbAGys9u+GxTrMtA3itVFlkWyjAqRE+PJly5PAZz3BY8HiMEjyTTaM50X8JLzGaxOnI/lI5ud4nLOfFgknoDjgiKhUEQ0DssLmdufeS3b78pnS6KASUFhSaEAS8VNVwo1ZuoWFfWwzbnczV1L/9XZ77gxsS8ops1SNTFyRuAwvMMhyZy3/XdoEgsrD2T2vCLI7EjXKxe8YaJBcyIx4oj0pNINjG+x/BAYaETkXf4K+IDkgQdmdgSsdFiRaA89+/2AFQcu7sJ4nknxBS6K5tLz3D1gbQGIhV337EKkayOGiA8wdAN9hlZ4whrwaUZ1LV+8eeaxeeDBr7wuR3a2Q4WBXu9YWsHD01scmi5plHulMZaHTtLpPbtg6GTCxpmUAn4VrDbSmoARHr9IUog0ZFplUa3By5WnSdISaWPA+5UfXSZU09P4yKHrOJDYNYa275ijJ5iOuemJbuaLBN08I0NE2EQnI6JrmRbPN+/f8bvThUM30CjDKhLv5zPmImmbBuNW+mZAugmtwKWEtJYH2dD1A3FxqOMRESMhgRaSxmRO44pKAtl17H/wBtv1iHlCRH+T5ghgWRBb+HxGILxHksgpwtMTqRuKcz4EctthcuLQGHzwhE236hGMsdwYihjR64o1Bt81jCmTs6eNiebhAONYSvZCEM5nxOFQ/q6NKTfF3vOqJM3rC0LrUvbWuvRKe36+GXu2qCYtBLsYscNAyBnVtNicS5KHMUVzGsJNv9q2JfMu5xs4dXfMp1I3MOl9AaT12FrWH7b/yzXk3rkbO3nPTFam9T6kv2pUa1UMCqisbOh9Wf5TcqHKCGoFK6UbMN7tPi7RG3MDuvdh/RXg1vk/lQR8Nkd9Hn+MxvcKoAL/JQVk/uvA/wX8eeBvCCFkzvmv/12O+9eAr4B/F/g7wJ8E/g3gfxFC/Omc8//+B3bFn4LTbQEp5f279yp7Wo/5NErk/lgEucalUDSkUuQrcBXk0hY0+dLlRUhK2swWJIogrqE427VBqMK7aVuMQSHemNEKjnPcnP4hlVaimxzBRYVsFN6VEPwwe7yXpCWznh1aa2KA6bwSVoc1DdEn5jGVNqkxMZ4cVmTWSRBWy3wpbVHHc2IaIYaA1QnpIy4ERFxoWonIkeOLJ8WGdY4Io3n3XhRzyZSZLoF3PqKJTKwYFjKSgCCjeEVRQObKzWGftm330VArt9J8PabGQM3cQGzNPF0p5im9/dxsx1i4BvZrFBlz7QJ1ZCWwXvWuksArmQickHRkOgSJL/F4zkQmOp4AT8Sz0NJgsDhecSgiDQpNg2HEEWg4MwPHDBMnOlb2OB4aS9tLZBPo9h4fM262zOcTr/4dXRtZvEDZjDEOqwLdODGHiZg9xn7BY7enYUcIR5o8cXAzwgpS17O2Fm9KWVquAqcDZguwygzsn38WYzIsni4ZWqNRKiBtpmkiUiW4nNA4nh57vJeIpBFoWpV4nRfWsyOqTBCgkLxRGudHDinxRWNJ64Ji5eQC5yR4mxPP1rC3Dbax9IcB01icbkiXI+FygeBZXSQQ6PctVpQIJL75ls40aKvJoSXmoj8VbiH5wGU68zWZ7B2HTnAY2pIPvGZSykzLAn/nN+m6BrUumAguB0QIqOB4s9vT2IZdbzEZjBQMSnKMkmlekOtKXGaskPRKkc8XhJLIZSK/eUt+ekNeHWIayX3Rb4q+Qy4TKieMlAitSKtH50ycZ6ZlhqEwnG+NxogC3nTf06SIXpabntQYlDaFiR8GxDSRHg6s5wsyeHprEaLIf6aUsIfCFiMlIcYSKzWOaKWwbUufM1nIW6RSjDfguSzXknxWGzDbmFAxXj7OKr0Hp31hjZnnmxO/bct+FfRV8HsfnF/jpCorWkF1df7X+atMYF1vALa2NK0MKJTtdU7nylzLcmNLq0b2cLjpSe/Z3PvSfW1UUB/fZZ76DFI/jz8m43sDUIUQ/yzwTwF/Puf8N7bN/4MQ4ueAf18I8TdzzvH3OPzP5Jy/+WS+Xwf+X+BfBf6lP5CLvhfJ/xgzylWbJHK6BfPDx6WdT/P4pCwgczs+p3wFp4iiL42Ra5hzTqCER4R8XbxjFPgkyFqUWKuUylosBCEV1jRvzHCW6koSpywIwpBFJm1gFCFYQ5kj+LJWr6MjO8jRcBrHLaowo7JFBoE/L4SxhPFPa+kaFUJkWeByivjRszjJ+SIQMSBlsUf4MRN9Rg0L8ypxS8KtLTkX0OsmX0r6Z5hXySsJjeaER7MgGchIjmRKeuWFAkgd5U+9AlG7bb/XmbbcSvP3w2/HDNs+iRs47fmYha2s7AlBQpAYmLnQsG5xVQaL53VLXYXSccqQCPQsGEYCKw0OiSQwM6FwDPTbzysXOhyRlRZJYiXg6QksnFE4JM/8DA9YMqZZ2e0kbx8OxDSxHBMurry6F2zXsOYLajGovLJLGRPOCNXxs+oHvGkOzNFh18DulOjFiaAWmueWZFs8kce+ZVkvnH1gzCtt26FsxxwVnRl41j1PQpJXxRJXng4dndWoPDOO7+nTnl3fchgMr+vK6/sLjZI4EVBx4XgxnFNEikTK0K0OYTLkQLocMc6zHwai1FxmTwyRTkueu4bn3UDXdfihY8lF2uKP71mnM5cQmULJPDVhJZ1XPswrtC0yJozSfDOOLD6wugmJYN+1vDGat0rTS4E6DCghiTkyJMmjEMQPR15VSbJwy0xrLH3y5JgITYN6fmZoSkarMLrEOsVIHwJvL2eO40xSYGJinyO9EIVd/fIL8tMjyQXEOCKGoSwLbYNYZqSbixluY+5SKOykXld2SmH2D8S2Ke1Hc0YLgdgNN6f+60tZQ3Y7sg/YtqVd11KelxKOR0zOqKZBbK1AxW6HSImwAargfRGrVGOR97Q5MyhdtJsbKBRaFRBXY52MKXrxCgQBcXwtrOiy3IBlZUS7rlx3CDeAWEvsFdxV13yVAlQgakw5xvuyfwWSFbDeG7AqSNyipq5607qG33d3cu4GPisjet9u1dobsK6tT6sutTKt9XvhnpGFz8aoz+OP5fjeAFTgn6Mgiv/ik+1/DfjrwD8B/E/fdeCn4HTb9iMhxO9Q2NS/v3F/x3oPRuvra0n/rjx/L5zfTE4fRUzBd77OrnSAqXfUBdyWO/UcUym7S3VdxKQEUc1YophSapcoIQUiJ4TIkPJmetouQ0jQ6tpulBjxvvyewaVrAoufCoBevcQHwTonYpasi8Zmiw+Q5pUGg1IWgeJyioXYuARIjpgjx5PnfHSQJDFYTq+S5CNNX6QIs1N0naEdDvhpZFlgvgiU1EzzBspT4jwZPvhIuSrDCMQtEkqROV31pXDTmlanvaBkkx65AdK4va6Zpi/bfgcKWG246U57CjiteaaecicxcXPqvwBnyqdtGYGVVyCjOeCv0oGERJM4AF8x4DEYEmciGckjhjeckBtTCmfe0bBHMCM5opDMrOxRnLgw0yGBBxqeUPQ6YduJNf0OyjTktBIcXOLA6ldivPD1N7+DYKaxOx77A40wXITjYCT9ItDzhJgXmk7T7RrevN2zSosgEIJjzQu/9fLCmCL7wxO2H5h8JhxHBrPnue15oMHniDKe7FfS8i05Gl5TYfUeW8kbnUmrQEdJXF9wjWaSCjeuSLkwTWdELrmgXfLEeeLkLE3KWAXjNJcIKaUwRvOw3+F2HadOI/HkF4cj4oRmTQGhWkSccASWr99z6HucbRBWc5pnptUhTkeSFFzmkVkkDkIwxGLyeR56nnYDnbWs44XzZWWI4IXAS0EXEzJl+pxYmGmHHf1QgJ8WCZFLVyiBJjsPlxd0DDxk6LTCrw6tJM00YQ57eH4qTn0XSkvTlMhNi1hmRPDI1hZWkiLpyRlwpRsaWqPajp3aUkGWpbQtXeYr6yfOp2Js8tv6Yy06BHYPD1jvicuM1poQI1MIZGsRw1AY1qpBVQq3rizrWsLthSAbw+g8Rhv0FuUkpCjXUEvc1pZzdt1V2ymm8eNM1VoWvwd81ZCl9S1qSutbksC63tjMnAswrPt6f4uU2j6j63pcF7+uuwHJtr02KLi2HYUyRz1nbRiwrmV71bbG+FF81XW9ryxuna+C5E/lAvfmqU/9EJ/B6ufxR3h8nwDqPwL8Hznn8Mn2//Xu/e8EqN81hBD/EPBzwH/9E+z7JfDFJ5t/HvjxWA/48fL8p683M8JH7v17Hev9427RuX6xwPVuXVgDQhb9mZRk8kfO0eLq1+XHmIihmKNqQL+QElFZ0pBJvmhUM+XLquhMwbtMjpHgSwNNAawLSFmYTD97xksmh8g0F1nBuiistFuoUSTMEecTYQW3JHROXJbE8XjhfFpIWTKOCRd6ZO7o95a4BtYl09iIyIJlkizLHjdFhDGcz44kHUuMzLPh1ScCEk8ibMAtoTYutJbhHVxzTmvwfg3Ir1rR678+N+az/pzv9pMUAFodalUq0Gz71XJ/fe89Hd8yY1l5BAY0E4FMwFDbqEoUiY5HFJEWiaclsrIikExkVjwWwYkXPIKWbrNhlbh9iAxozlvclcXwxI6WGcu3CLOQ1ITaJV7jiju+ICdFr1bW5QMmRVopwEhEBzlFbEh0/szKmVP7lmgU/tnijEO0r3zIKzJJrEm8CM/Rw0mXLmRmDmipkDmTiFhrWFNijCtNdKwsBOlR+YGIY55HnBo5e83rtw7VtrykiXNcaGdLCisXN/FhHhmXkUcSodGcc6ZRChlmRLb8sN3zPoNrIquA/bDjobHoDGpxjM5vkWUtUQlaB3adIa18kxxHrbgkgV4XGqHJy0yIkS+6DqdKGsJX3tHZjufDgQeZka3Fp8DD2dHkhMsCT+b9unDxkc47fvjmETXsEIBPkKPDa8EcE6ZtaM4r+t07iMWkmFNGr2txvqeEeH5C/vDL8v80JNjtETmRbQGXQgrk0F3jmYQoGnJiuoKlbBuENcjgS1vSvr/uS9cVYCplAafGkA8PN1d8Suh5xlhT3gdCzqSmYQLEZuRqpcRu+welEG1bkkSshRARrSJsulShNgZ0WQoYG4ZyXbvd1QEvxku5znunfGUoa2B/BZi1tH5ftg/hxo7W8nwt+VdTVJUCVLNTjZ+q0qqqba2Atpb27w1M9YOsYPTTjOvK7lbz2D1DW5nS+yzU+3SCT4mPygR/x/jmm2/49ttvP9r2W7/1W9+57+fxefxhGt8ngPqGoh/9dHy4e/8nGkIIDfwaBQ38Bz/BIb8E/Fu/7173LOj9tjrqAnO3TeT04xKAughWwX3Od6J7cdOaGrVhp1TWuyhKIve2YJX1Tl1PF7MkSkVmkwU4h5CFq4u+lKRy2BgCBNEXNtavqVSmkiD5AMmzjBGlRTHWRnUFp5dRQCrB+1JLpgk0kXUpTn+3JMIaCUnhHFxmz/G4IOg5f4gFMi4XOptYpz0pCYwupc7TOZWM1CBJaC4vjpRnpmnBBfiwldpXBkBhyCSmbbujgEXDTU+aKWxp7fQUt/dqwH41Os2UEn4FqpkCaCeKtPkdN2a1RlFdtrnmbZunZp/O17L/DOyJ1/PVnFSPYOJx6yGlyVj2JBYiOxyBxLd0nDkR0Sxb8ukOScBhaMjMtER6GiYGJHv2PGChy6ztC5gTaQbxkmHNnHihVQ0f1olZTAydoQuOdZ2I68jMSDe8YRjekpVgZKXXkrd7jbSG4zqCUux2D5xD5v3rB1SWRazgBB5HFIkv7A4fImZdSMIzJ4EeBCk4cnJ8w4JYE4OOOCdYjOed8OT5zPvjidl7GhLz4liWCy8iogh8q0HOmeEg8cIAACAASURBVCfTcFAGsgbbkbuBh2FAjSdycOyiZ1gzR+dRxpbQ/ZRgWsCv2F3DWUZepWGdJqYYeQojc4rEKFk17AU8N4YpB/quxRjLYFseVUSsjsv796Rh4IBGpMBlXfjNy5n308zcaH6m3zMYQzsvZG3QBkahWJVAzgvz//OOVgr2SqFCvK0dzsHbt8jnp2J8cp7cdggjSsVjcgilEI1FskmBamrH6m6sXdeVKCoBYl2KM94IuFwKA/v+fQn731hTjCnrSGX/XHHNC3nnIrcW3ffscsYaQ8i5aExzRm+gT6dEDoGEQGRKzmmMRc7g1jK/99e4pex8yTjdmE7h1o+Z0woonbsBtGqIquX6yqKqm7zhqiO97+5UQWllLDcpwdWUtMmmGIYfd9DXkv59hmoFrxVoqk22UEv5lQmt1xZjAd7zfAO6FbTWc9R9789fr7k+f6JD/dVf/VV+5Vd+hT8M4x/7q//dT2Wev/Vv/tM/lXk+j+/3+D4BVID89/jedYiSYv9rwD8J/Lmc82//BIf9Kj8uLfh54L/5Sc55HRsLQl3UQygi0Qps792e8JHuNFMMRdVMJYzenPmxeKoSt3mlRNmto9Gmc4ohE4K4mqgQlKxTlwvhy2bcyuV18KUU6H0gueLCTzGTlWadS2TVMpVS//lDYSGmCdIaiiRMZMaXgEilbOpWWL1gmUsx++VrhzSK48vMOiVWn0mURVpojQuZ3pbIKKEs50vGOckyRUJIjKdIMoFxWhjpmFAIHBMLC3qDdjMz8/bhB2760ZpbunADppmPdaiP23OggNjSk7wcU4HnSNGo1o5S/m6u+txs+4byeX+UhyqA42aE2qHxBDqe2VF6Wr1joHwuHsWEInFG8B6PJ5FQdKjNHDXhGXBIXjkiMaxA4pGWN3xJowSPxoOYWf3I+JLQ9Jx5AZnxaeUYv8bgIHvkbEuYldLMKmK05pwWWgYOnQbt8CbTv9mjekM+N+S4sowTNmv63CJVyzIfmRYHIaOkxnmNTIFz+oAwHi1BuoZBKSZ3IQtJr3eoZHmwmQc34jIsa+QHMfFuvjAnwSWMzGklqcjiAjIKjDFcgIPRPD18gU6egzFYt/IkEh/IiJiYtcQYgwgJe37HfvdAM3TMbUZZzbSszOuMCY6di7RNw8V5vEhYqRBKYRtDdgJhNWk88Q/ElW6El5hIUmJcYsoLfll55zwLkvb5iew8P5on4gvIw4E/0TaQMuvlzLAu5TZIKabzGWsNvQ/FHNT3iLdvkX4lzzO5rxrTtgTXC4loG2T0CKkLOykFeV7Iy1rAT9dB05RYuRTK//stVko0FsYLLHOJpdpAcdamLDCHQwFWW0lcaAViA18PD9e1RxtTAGkFj3Dt5GTbliZGJqlKLSIEWilLzum95lPKIlXalbxU5hkRNya15qpW/WmNZcq5sKo1Sqoypvea03WTNdTSfGUqrb3tU0v29Xruy+hwA6vV6X8+l2upoPd+nvuUgLquV/BZ81UPhxtArZ9Xve6qba3g9J5Zve9IVbfXY+7GL/3SL/ELv/ALH2379V//dX75l3+Zz+Pz+MM8vk8A9T3fzZI+b88fvuO9j8YGTv8T4C8AfzHn/BMBzE3D+qnJ6vc/sC5Elf2o8SLVHGUNcKdXqotMumNVZelZn0O8AVmlCnORubIg+LvzAIIbkxqTxM/ly6iAU4GQJXUqZkkOnuS3a0iJEEr53wdJdKmU/mOZaz2uSKtZ5oRfIueLQMnM6Z0nxcziJFJL5lUiZCJkw3x0+CjxPpJ94uWkyEpzfE2swXK6rChV2JiIxAXYdRZJwi+J6ZKYXQllr1pXpROXyfEtgkQikklkMoGWmRWNZ6YwkoECFheKnlRwY0D1tq3e31TQum6PevwLtwD/2iXqUv79rvM12/bK1r4F9gi+ISM2LWzazpsoOtYS8F9yBQQPGBp+gGIi8DvMjCQEE8eticCEw2CwSBQNC5KJyIpFMeNRGGDPnh0NKw0zHStv04FBRl6nUvIvTO7XHHmHSzMGSbu1dk0Yjiqh4oxMkKNlSTOpcbxowZdv/8HSd9xdyMmxnEeWdUEGyFbjQ2CZFpKfCNEjc8TPAafgvZ557Hs6I5ndRG9bnoUCA11WJCdo40wvLUJl1OoJ08RD3zEIye/GzMRCoOhGJQLdWXZmR9927KXgUbXslhmbAiEllFEo0/CMZoqe5f23IDWLtjx1Ld2+ockJj+Srr9/zfh45xUBjGnoZsSmiZaY1FpREN5pvXl4wQtCfV77sB5TzuATReb7Ump2bUU3D18ZwUtAHQSMVUyP5EFNp6elWuleH9x4RAkhFWBeWBJel3FzZvkc/PsK6EpeJue1wi8NojV0W1LKWnvDeIWVpP0EIiGkkuU2HOQylXB4TYlmK8VCbAq6apuSIXs7QlrQBhICHh8JgVn3n6XQFTqLq5o35KNf0I41k7TdfjZ5SokJkN+yw60oQAq1UyTmd5xvoBHLT3uY6nUoLUyFuYLDGMNXSdmWX9/ub4aiapqp+tILTujbXR9WJVpKguv/vW5DeA9Lq5q8AuQLPqhGtYNKYsr0C5NpqtQLWe3PUfV5rBcX1uitIvTd43TcAuC/3f8f30pdffsmXX3750bbf+I3f+LH9Po/P4w/b+D4B1L8N/KIQQn+iQ/1Ht+f/7e928B04/ReAv5xz/s9+aldWF4o7gPhjpX64xTbVRSSEj+epuqQ63/UuOX+chRfjtcSGVASfbnOEUKpCrjChKUFwGzjNiRxiKe+nSEqljI8uIDfHVEgDIm6KJW4qcdWlzksxXS2vC84LzheBtoLzKInAEgQye6ZzRohI9Ilx1axek0LpSnU8CVyQLKtg8ZJxEsQcCH6GLIir5/DUY7TiMkqWVRE3Y9jpDG5ZyWLhGCY+bMxk5JGIQVH+YC/Xcnk1KlUzVHXl99v2GsoPBaRWKcAC105SMwWcThSWtJ7FbsfWtqcVyE7cuk35jTWtkoDl7qG3YwZgxxvcFhsFz1hmIhdgpts6RwXOvAOgo6OhQxBINGROlMaZGo2jxbJj5UskHXsaZt40iabPjJfAmYmFV2a+5pULjohFIGkICBYWGgxaNJx4pZM9T/sDfd+Q9ELOK6N/x0PTQYoEKVjXhPeRLmakN6QQ6HLDJV84zWcGa5BGoLXEh3Pp7Gj2PLWPCBXZtYJvXs+0WjGojFlKp6xFa1wKPHU9icygBU87zXFdUNJy6HuavuXDODEICctKaxqMTWiR2T8eEJmSp3mZaMigDMYOnLREicQkI8fpxLNsSNEjW4P1GiUVOUeSNRxJGKkZrEYjOSwzvTK4FOiU5SHDzjYczxM7Idh3Je9W7Frkyws5emYhWWLCdoZuzdjLBZki+bBHb4kcPjimZWHa7ViaA7LrueTMPgboWs4+MGuDbHKROhjDXpQYKtlu2sRpBedIXQ/97pr/mWMpo4uuJV/Gwn4aUzSdxiAO+wKWthJ09psWs7rhtS6fo5JQOzlVZ3wForXEXUFUjWJyrhgvhwG9LKVfvXOI4GFxV2aXEMi7/Q2cjWORHFQgWEFn1XzW9dL7Ak6rnvPeEJVS+R3us0Rr+bw69qvus+aR1t/j/pha8q9SggpoKwiua/+95jWl27XfS7kqQ3svFzBb1617BrbKvO51qfefcT3nvRfiszHq8/hjMr5PAPW/Av5l4M8Bf/Nu+18EfgT8z7/XgRs4/Y8p4PSv5Jz/2k/tqrwvYBG+E5R+tL3qwa4XdrdPXTTvBfDek1e3yQLkdW4hKAt5hljZ121os2lUfSCnTFgiOW9sa3X1p+LkD5s7X3hHEorgEorI6sRmivJkHxFKMc0SqYuGdI2a0weHsYLzh3j7CGQBnMZAyIrzJHChdLyavOZyjMQgcGvicgY3BQKWRrdIrZnmxMNDInrLuxeNpCQHXI6ZaSp9nxJnvuLISsQRCKxEPJI9Co1HU8Lwa3S95xb/pChl+RolZbb333ML4q+gdqSAzZkbkF25OffN9qjdot5vrztqSb+IKF64Ma0PlK5UL9uxkpZAwwsgGYCGV17pWFhZyQS+JXHZOkxBYgEUCUtmxpDwiK0pq6En8QD0aL7E0m+fzGk9cVxfUVh2ZI4sTCg6ejoSA4YLMwtzsXtZRVCpQOMmoNTCF8OOThlc8ng8swfrMss0Y7Klj5AXCTmSxYJJiZwjVmeaHBmsLjmjcc+Dtexi5odN5Lw4whw5uInWC9qmJylN8B6xrjy2Pc9DyxnPq8rE0NA0ii5FUvAslwW5OHSreds2fLE78NQa+iwx48ReGmhasoFvcml7mrXgIAsreh49XxmN1ImM4rFt2O0ND9HxrV/JeFYf2bnE87qwb1pGBIubSRvXHU8X1OMj+6cnRiQixmJQTIHeSPZZ8lvjinMT7dETheSHjcXmhD9fGJSkOV94fXzk3D7TicxzyvTW4ozCSUkyDXNI5S9VFw31lBIdiUZpcB6xLqS2h7YroG8zDOXVIbuGHCN5LB2nxPG1gJyuK+akyvh5X0Di1rmpMoJCAG1zbVP6kRbyvs99NSrVda12f8r51j1pnhHrcpMHpFRkDLt92TbP4P0NnFYNfmUba+h+BW81fP/+2iporNmhNecUbq7+ezd9BbSV7bxvL1oNVxUoVjA5DB+X/KvcoILHe11pPVdlT6uRqwLiZbnNXcmJuv+9thQ+Bqf1S+EzMP08/piN7w1AzTn/t0KI/x74j4QQB+A3gF8E/hngL9QMVCHEr1FA68/nnH9zO/w/BP4y8J8Cf1sI8afvpl5zzn/r7/nCfpJF4X5R2V4LdVei8f4W/FxZh5QKHg1hkzTGj6bKiKJfraX/GG+lfikRWxxU7fYkti5TstFEF8khIWIBvDlDmBak1axeEEIm5+LEzyIznSJSRpZZss6JcZaYVnF8zSShcCGBEoxTIMvA8ZIITuMnIGumS2I8J4IwpATHsyS4hAsSbSI5l45TrSrB4dM5EYNjDXA8Fodzo+E1ON4zMiNo2LNe3fgL5Wu6p4DHqjfN3ICmoBqQbgC1mpIUt+zSlRs7eqYwrpUdnSlgN27zVXCa784Jt8D+tD0GbgH/CwWoeh7wJBwGxRMH4IkZz4lvkCxEvmLlHQKPRmMxlMj4MxaHx22s6Y6Bngd6JCuWCwMLO6D0prIsKAwNDQ0nVgSKRyw7OYDUOBUZBSACQ+oxUrKKBWkFg9HYNiFYWXwiJ8+8nDl9EDw3B7SHnBWNblFCYKwhjYmZBSkabBdoZWKJHjF5lAh80Vm6vLB+45EKZpXxzjPnjFxWWqNQQjMMHe3QYh8HDkZh3UyeM/oSyElwdIJH2/LU9LxtLJLM27DyQ6+JEtakwJrNVGiw84WX6QRC0DSGaQpkCd5HTjGzH3YgFUZK3qQVEyPzPBFsi5alk9l5PvOjNaBWx58YBqLSzLuBV6X4IkRaRfldVUl6eIgJMU6c55FjCAwKdjlxcOWz0MOO3LSo3R5/GSF6+t2eoW3RSuFDxPmAcBdkLAym2OKYtBLEabkygakbbqXicSysadsggyPP243u8VhK5pspSFhzi8DbHwpQenm5saNtW9aPakq6z3eui9LlcssLrcCrZjH3w43BXJYiP/CbqWm3Kzr64c7FPs9lPRv6YnhS6srCsq63EnxlbGvMVN/fyu0VwFWt6T04rWC0sr4VrFbmsjKeFXRW1rICXWtvCQJVOlDZ0qa5SQbW9cag3jvua4xVlSpUwHo+f3yN9+X7ykhX+UTdr17jd0VMfR6fxx/x8b0BqNv4s5RuUH+VW6vTX/yk1WlFHPf/S//M9vwvbo/78ZvAn/qpXF0Fl/e9kLdtOabb3XBKEMWNAYBbub/esW+Ma6a44q/lpFwlBMXcdL3LB5TMsDGnEVU6RYWSfShEMS7FsytTCXVd7PySENbgl4B3kHKRGiQk06qQWpZYwlUwzgqjM8dj0a+W9V9wOnmcuzBeZtZVMK4aJSzBDyyjIEZFyuW46VI6XBEC65xoh60TVUosC7g542PmMkYSnoznq6A4E1kAieaVBCxoLoSrJnTlFhclKECxdoSqYPay7Ve7RsENqM7ctKiZm7a0thrVsCWXFqY0c2Nhn7mB4gdu4LiyrBMVxBo6eh5RjFhOKCamzYtfZixtBVYUmkhmITEh0BgkmYDD0vBAJrJjxfCByBlDoqfjgR0XBhwORUDhtkD/BUMozFwjkWpPi8D5d5hFsLd7Oino2gbdWYK3aBHIJJbpgjUKsUYIsLctZtZImWAJHKwGB/1Bk7qevZS88+8Zpwsf0kokInPijWlZXo90bYvWmRwDIYMLAXRkkZqDaXn7uOfL/cBxPHOZX/mZEZ6k4YGGdxZOOSOFp1HQuoUuepJU7FSJ1FqlYBaesCwYHzAy0TWKXsFvTwurcyCLjtsrgc6gxwudnzHLTFYS6xxCCN6vI0sKCB945xy/Q+Tnuj26G2iC59uQMDIgGsWusbTB4ccRM15oG4vVmn+4a5lc0Zf2PpCsodGGtBv4epyZQiC2DdE7crvFMiVIMWKMJitFcg6mCdkYsnfkNWK6dmOIt9Lz5VLWHNsg40pey+/Iy0thQrsShySkuAGk3Y68Onj/vmyr4Kve+NYYpAruqt6yAjRrb2XpzeyTtbk57KUsYLNGSVUwua4FnFp7yz7tuk0TeynX0TQFEMINVFZwWtfZqoOFW1m8AspqdqoVqursrzrTqkWta6wxN81nCFcQfT2usqsVON6X5O87VFU2dF1vjOk9e3rf1apKtqru9h5wVk3rfYYr3EDvvRzgHpx+Bqqfxx/x8b0CqDnnC/CvbI/fa5+/BPylT7b9qT+wi6pRIuVEN0b0Xkt6tdlzB0TzDaDeg9QNoF4zT+sipFRhMSha0eji7Rgh0CJCSCUTMQv87MmpOG0zAqEkMWWSFEQfgPLF48YCFkOSOC8IqcgAkrZME0gtSih+UIxjRMvE6ZiJPpWoqUZzmSVJRM5zROSBEAQyw+tpgaiIrsXNkXnK+CAgZCKSFGHXZXzImzE3s4wJHwSXJTNxQTHxnsCRFbepMrm2D3WEKyis4LHjxnBWBvPCLS6Kbb/3276V7ewpYPKVG1Nayum3+eq568Jf46IablmodTSUcn4FtwI40/I1BovgDQ9kRhyJgYWexEjmd3HMlPTYGUUikEhoJAsTgo6WPR1NiXFnYWIh0/LAEw+07Fg2x7/GsZKYiAjp6XY79qKncT0uvhLFmXnNaGV4bp550ppeRegLmA6dog2G9+6FD/6CFQaZNG/NA/vZ0gpJMoJ212BRBcNMF2LjWVkw04h1C08isprEQTYoJWm14kFpBq1570uL0r6xiLaDtIJMqLiixkD2ng8+0ZmBtpHokBiUpr2MRAO6aUhGQSpAY2h7ZBaslwveLyxKInNpv9mHjBEGVCAYTYPAB49fFoyChOJDVAwlRpakIKTINJ25CMXD0KObjnaZWRGsPtBoQ8yehcyyzNjzEZsyOy0RWiL8yiAywXu+EAp/2OEaS0iZnZQcleFdExmkRFqDFfC75wuDtpgcGYYdIoONkT4GFpGRPpOBru/Qw/7a+Y2cS+zU5Vxc+tpcW5OKw/7KvIlmMwDV8P1x+nFg2thbt6TKCtaIppQIzuGMIcSIFgIrJXrLN83tFgVVmcQNVAp7d46mKWYopQp43Ur3Yp5umaLVDFUNRRV41vfr9cHHsVCVGa2RTTV39T6Ivzr37zNL6zpeq1mVja660wpa70v+FZTfz18Z3nsgX0FpzVGtIHm4deu6mqNq5moFyvW6qmzhu4xRFWh/Bqafxx+T8b0CqN/L4bf+nvclnApKKxit+tMNfIq7+Cfuvlg+ipiqd8O1TKQ1pGJWKnNv56sMh1VbZIzCryW/VORQGFQByedimuJ2p+1cRmhZ3PErhJiRRuF9xi2pSMGOjnnKzItAt4bzRRJCKuBVacZJIGXm/GEhhcRyigSfOJ4VMQXmcSU4Q/C5fE9FgdZF43rYJaZVMc6SEAWrz3y4wEigZSLwnq+AiQuRdxRQWRffmlf6tD0HChCdKMCzsqM123Sl9FqoHZ0Stw5SMwWc2u34b+AavF9BZyXmq0a16kz3FJCat30roD1u778CAUNP5ozBIwkbCxxYWNGMCL4mspCZMEDiQsaRySgCkYlEpKfFImhIGBokggN7JCs7eiwHBJqRiVYMvGZZ8mDFyComzvMHQh546t5gU4OcE7tgeD50NI1Ctyuv4RUfLwgUVkIiMbmIc44legyWQ+qQzYAUijif8dNENAZUpMsrcXJ4GYg4BlsaJ/TZ8qwb9koh24aHYc9RKr5djvxofKWRkh/IhRgCQQpGETg2B1YhESGxJIe9TExK0O8GfubtA14J3p1nFiFZ3Yr0niYU8IlM/HDoyAQ8mnMCbzUyS/ZqZV5XpmlEI/hy3/NGKg5a8hoyWmSsX0r/Ltuyfza0WeKdY280PidWn/ggwfqF+XxmrxXRdlxEpssJ5cEqgfArZtjRKs3Sd4gQMSmzazukFEwpMTQNg9HklPiQM0kqVinoVEt0njV4Gi047HpcSsS+QwqFda5EOm3AJM8LoinMXn49FhB0OJQ1x5gSDQUFmDpXzFLVfFTBVNsi9rtbKbnqP+uaFCPBGF6nidM4kqxFOsdBCB77HiXkrXVoCEVv2ljoDzeA9/BQTFNwMwZZW27C27aAthjL+rfb3dZS78vP9zFSlUmtOk4or+f54xJ9BeA1y/We8bz73a7rcQWcdT3e4q6uHaeqdrUC1vuoqcqy1lSAmiBQQWnVntb1vrK5QtxMW/W74z4Oq17Hp36H+/frz5/H5/FHfHwGqD+FcV1H6iIoxcc5dlW3VWOl3OagreDV+xJQLQRZqFKCl3Iz8WeU2IwQSMIayUmALPsJKRAkslIEX6+jAMIsIafEPEX8EtEq46ZMUA2CzDzBtEjmFbQVHF8z0UeWKSFyZhnLLzYuICKcXz05SE4fEmvMnC6JHBUyJZY544Wl7zciQAbmcTt3KC1V302JzMweeMc7Tpy48IC6lsuh5JMaii/uTNF3nrgZmfYUkNjBFtx/Y1wrMK160KpXFdtzw8eRUXsKYI3bz8123KdxU27bVoGxpQDTEitliRi+IW0q2YkJzztWJAZJ4IFIxOLQGCwzKxOZMxJNRGPZI2jZo4HAykjilT07OhoCOzItE5mOiCfi8wktPcd0RGSQSSFi5MIL6ix41Hv6xvBmsHxpFQ+7BruzvJvga5fAJZbR87qutP8fe2+SHEmWbul9t9PODIA3EZnxKslilZAzjmoTXBYHXBY3wQ1Q5FUxm8j0cHc0Zqaqt6/B1R+qiHpP4rGEHAWuCARwa9UM8GtHz3+aaqAOnPVATZVyufDzbeFzN9CtCTM0s1aumqcCVUVC9XRG8eQDznTY0XIa7jidJzKaL3HhKQS+XL5SVOa7zpTaUW3FYghzJc6eh6Kg67mpCNNI0XBXE4M5Ua4v5JcrtrPUmOm14aVk/OL5NDqGcSDWER1Xvs4Xvj57eu/JuXBnNZdaMFbTeY8bBuwcubNwmgY4f8SXSowJ7wtVFTo0nenRBJacGH/5jnGaCcX/gOEUFmop+LCSTxP0J+off8KlyLlUun4g2tJc99bydb7xlDNZQYyRUz9QSiFHz0/3HzjHgMqRWUF0J6aHB+y6UmOGml4ZOWFAdc3U5+cGoO7uNmBqX7cfhoEUI+HrV6LrsKXQlYKVoPq7uzaCF1B3XGJWMoZ5nvm2ruhS0DmTreXb7YazjntxqN9u7QS6czvg7DqYpiY5WNe9lWpZtlY81Y7jem3POQy7WWsrGAB28HiMthJDl5ichI08tkhJoL/sv/LGCKlwBKfCjAqAv153I5mM8OGtWUwqScXMJUBUQLEAVgGqW5rBG6AMb2OkjmUCRzmC3O6dNX1fv9P1DlD/e9YxiFmpXdYojKlcIAHM8j3nlndaSouAObKqsQXy1xRAm405VRgL6JYrWmIha0elsaUo0FZTiyL62lqrylZ3GtuIza8QosJZ8NGQKtRU8GtlfknMq8apxNMXRUUx30BRm2s/JZ5ujq6Dp0dHuGken5sh6elmqXlEJcu6NMmC1gWsbmP8l4WcKkupm2fekqg4Kn/BcyXjCVSeSXyjAdCVfSwvY/V5+9nTmFRpZZLRukR56e02UkUqoFUfbvNMY2lFryoRVQJcJRZKckwft8vC9u9KyzZ9BL5vdaUzmRsjlYziiub2GmO1kimMvKDotzTUMwrFxCfmDVB3aPpttK+IjExEKh5FwRGxRDyeL8w4BgYGNJ/0A0/lkcAFx8BYDev2vsLMZ/PAx86R+ytqHBlNJVwLH0thDh3fgyckIFUGnzHAREBtoFuXxH3Q/IeHkWISNkKxBlU9f8krz7UAmnI/8Zdl5kOsfHKBT77FBC2q8FgCP96NrDnxX5YX/vn2zI/V8GM/oVXm6hxRG/5jP3DfW0zJXJaVLmRK7qilYG0zQZ2rwvUdXhXiYJmzZrislBx4fHrmL+uNgEaXlv3wuXacFNRlRnc9aujQH84oVVEJMorLumwYxfDt8sIaEh/iVyar+XcoPlpNSZmqCmcyKWXy3cR1vAfXNQVyCFRrsVZjXMdoCrkWnv3KN+952rrrH9eFyS/Mt5lPXYcNHt07VG/RfU82mvpyeZv24X3LQp5v7aR1GBqoU+rV/KTqFr3kPenpiYuxrCmjiqcqxTCOnO/vcVptEVJmB2sC6mQ/28xAc0oE7/l0d4fqe0qIfI+J+XrlXphPrVEfHnYd6unUgGmtzf0obnfv27EK2FzXfUye0m6MklH3OO77ooBoyRaVqZNcf2RZhfEUQClgFt4mAgzDzoyKjvR228HgQff/yoaKWUumabKnS1C/vHcCXo95p0cD1zGd4GialdcAb6MM5dj14fPifb2v38l6B6i/tSRHT5acQdcDCJWxfM5thCXjKjlbl81JKUi5gcuDoUrC1kygIAAAIABJREFU9SuaavcAbEUF+SypEIuh1gZEa65YUylLJSmHUgqlNcmnZiqy4Ofcmvd0wntF2vJG16DbWH8BqzOPX9sGOgcLtFF9LZXHR40bFd+eDeuqWeYzrq48PkaM6vA3RVojpkT8UjmfKvNVE4shJYUvkSuJBYthRlH4M5mVsOkxV3YQutD+HKXjXtF0ogJOhb0Unel3dtB4NEtdaOxm3X7utsu/0hjPYfv3yJ6fGtkNUeLEFxZVQHNi17b+AmQMBktBsbCS8Dh2pteiUWgG1AbMmwyghWdVFGfOOE50ZNhc/AOBnsQFT6KQNoa3kvAEPlDpqRg0pTgUrWJUkXlk2WoNAloNdOMFYzw5LyzXzPLBMqeVry9X/HIjhUypqjVLEbbKVUPA0KPQJEy/8pTAkbi/v6fqyJPtuMVIrIUwL6wpYcPCzVq+6cZW39mOZ0LLcs2V0XtOufAtRFajObuO0VgeVdn+fp5Yo+OuG5hCIp4Grn4hKohhoR8H+o8TlkhYIvXqidHzRRkile9hRVWYVEKrSlw9vmamYeDh02eCKjxToWTujKWzimuGmiomJM7rCtnz1UcGo/mhFHplMClByVy7Vvea704tkGz1mHHiog13fYcxTTuocgM9MQYutPzSP7mOl1L4stz4kit/mAasM4TB0XcdOkbqsqBRDWhuTvhqHXz73k5Cx+kVcKmhf81KVg+bK/9yga7Da8MaI5O1qHGk9j1zSvQKnAA/cZjDzgIeGUPZ97Y60RqbuY+cd3A5ji0pYDNgYUwzcYnWdBheY5Veta4CRoVtFcB4d9eeU0Ae7LpOcd3LiFsmUeLMF6ZVRugiBxA9J7xlTvt+ryI9sq7CXopbX8xaxyrVI9N7jNsSgC3vxVF7uq476D2CTAG5/xI7+mtZ2L9kkHpf7+t3sN4B6m+tEF4/MN6c+W4As1b2zUTYUxH6y22lUlDyTkVnWUrTjNVKQVNSO6Ou1qEVGFXbqA+Ia6Xarp2QY7AmUZQhb4ZWrQrFt8pSVSLew+o1nWuAM8VCiZllVSxRs27egu/fKlprlmhbVmou5FJ4/pqwpvLti+LlKTbyYp55eVTorFl8Zo1NN+tD5dxHlpsmppZdulD5TiJSuCNzRfMXEk2FoGmjfGgAUDZeCcsXZtOws5mtHal9yZhdwvcF4Ip2VMDqwJ5duiJ6URAthADcMztTOtMkBYHdtb/QwK1DEWi/rczEzMKMJ9IAqaPgEIBqcAz0VFY67FakuqAAx5kzn+iZMHjuUXgeSSzMRDyFxEImQuMF+SNnzgwYLAsvBK4oMgqNJ9AG0ysdmrGv3N85bosnVY/zkX/++cY1RrJv7+cnRi4szBR+IVCAOxI9jmgTs7XcbOTjYNBDx6e+kmIlxAW1eKYtBqkW+OPdJ6w1fF+uLD7yx2h4LpFfUuDeWSbtKKYDm9DG8D0GJj9jB8doO5wyLFUzpkx1PUEZYmdIRmH1wDXNxOuCf5nphp4YMqdtevEcPC854nLmwVri1HEdOm4VPvSO82hZsqLUjDEOpxTaJ+r1yhgSPZmoYSiWvofPpfKBSrLwi3W4+0/oGPhrLmTgY9/xcRiYTmfWmLZqh0oqGecMnbXM68olBEpIDFrRK8U0Tvyh7/np4R5XC0/rSsmJfjwxGE23rK/j4Pr8gnaG+vFDA4fGtPF8aFpHddqjpgRA1VJJxrTWqYcHUAptmwQnCVgT84+wdrLEpb+Bvilnuhi5pYxOibwudDExPTygzqfdWLRpPeuywup3QBdCY02PwftdtzvbxTW/scGvrOaxTSmEt21VwkSKRlVyU+W1CHsqr0MAnhAGcrxHh/1GLLxeJyN/AbzHQH5hU4/pAPP8CuRf35Njrunx56MRTQgOkS8cmV9hin8tCXgf9b+v39l6B6j/lnU0RsnX8TrYL5f941ijB1s0Smt7QevGgobG3JWQUKV1mWNaD7iqFXKiKtP2M9OQaMkFoyqlVEqMFDR6e864FpRWLJeEzxbnCn6FdS5oo1gWWJIlJI3Wme/fKiZH5lURt4SA9Za5fAsYA9++Fx6f2wdGzvDtrxFrKk/PilwrhguGykDkZWksX8YRSXyhULF09PwZWDBbyL6igT4Bhj0NMH6ksZwzbHWce3C+MKBx+263rxN73mnevh5owFSY2cBbk5VhrywV5jRv/36hsaMv2+VlO16RCXxBYxlJJAoLC4G4Xe8or4asSI9Fb3rWSkflTKZjxGLI9GjgBcuFB04MG3ubmLnysgHTyoDlhMJisFgKaXP1X7lxY8RywnDCEimctCOriF4XwtMTqWbCNeLRZNTrUZ62XikwDMADU4PBo0hXCvdagUqU4lG3wLrMZK2wykLf8df5glYFrRTZzyhfQEMOgXqauOsdf3uc+X9y5IMKPPqZoWpOY4eNCy/O8O+r5k51qKzICl6U4SMNIPbBQ5y5LgsXNE85MubKHDxVGYZcMVTOrvILhTpazHSHSZGRyDOJ56R4KIopBMYML48/UzAtGCxn5hRw2nAqmVsMaAX9wx3q/p4cPCV5RuA0NTbsm1GMxjEphQ2R2S88a0N3mlC1cHt+wRnDbVlY/EoyllIU8XxmNIo7oziXTJcSqR8wMXBfSpsBrCs1JpSz6A/3e8pH3zTj5DbCVjHs7vVxbCe+KcE4YrWmlqZJ185Scm4yCQFHooeUvUuA1REUAmPX82lZuVwu5Jxxfc/dx0+cukOu58Z21st1B4u3Wztea3b3+jb+f62Bvt0ayIS3+lEZ2cNenyqSAGE3BaCJ9lOmWcII/3oMLo8jkzCJrxLwN89vR/4C2o/jftGqyj4uMoFl2eUYpexAVaKrRDZwNHmJNOAY2SVpA3L8QnYcowzfI6be1+9wvQPUf8uSzUE2P9kcnNvfQaX2jmsRzcvZe0ptTJby6yitGrNlhbYNNisLtmlLdS3NDJELJbV2prfYOFML5FjRXZMG+LViNMxzZfUKOxlC1vjQclKX58ht0cTUmN3vfw8YVfC+EpdCVa2e9HJrY7THL5nvjwpFJa+x5aKukRuelbX1o2/83QuOiqbQ8QTM9KgNiP6NxIqivAJIRQN+mV3/OW6XfwJ+omlF/0wDisKorjQQ+cAuBfhM04TO2/WVnQUVFlZc/sKQigxAQLBiB8Jy/yt7CsDOnsK4NTs1fegefyVAVtHxkcBIBxgmCnnrhbrRb41QBo0hMlGY0CgUHWc0Co+msKKxKAoTCoUmEKg8vnK1Gs0dI4rABzT3KHptubeOx3BloJAuV14ITWtJxqC5Z2REb+Fb7bf4P3/4xNBDIPJn/8iSFzrVfk8rmbmW1gylB7Ip+JzI15kxrVx0wSroxolUK4pM1/etY2KOjBVUVtiS+KkbMUphdKKqDh8TpnN8GkeYV/y6UpYZWwr9aUQ7zeNlZa4JS+EjiroG5hSZrWG5n8hac7IdPyTPY/B8Dyujs4yuI18jY164XW6sutX6fveer0rzYDVLjKgc8UZxOt+jzx8YyTg0VhWiVtSux3UdVmvunWPxHkPAOkd1jkUpYvDcK4W7Xuhsx4tOJGP44e6eZ6MJfubp+RHnLHenia5WVKmMKXFvLNPjIzVl6v19mwIb08b7W9RTrIUEuKWplu0WdVRThrABrvMZ+p5OKVxOfAuesi7ovudeKToZYwvAOvbAC2O46VDr5YqtlQ8pMU0TaSsU6KnY8/mV7atza4N6bVLamEllzc4uSnyT6FSt3RuwhuHtcci0SZr7xBglY245VskZlcvEsS+AVUC3gMp/CZxq3Y5ZgPYhXutVjyuMr8RoCYCXEb6YoI5sLrw1xx6D+eV5Zbx/TE84lLwAb4kNeYzj59HvfP2n/+P//O++7//1v/9v/x8eyfv6/3O9A9TfWrIBypm6bH6l9d6/zUJN+0YvZ8qmOdhfN+EtaqVum2kJTaNHaeyCprbpVC4t73QtTbOqNaVqDG38k1JFadWangIYU5kfI+tSsb0hXVeCB5aVdS5cL208W5Xm8UmhnSFcI+utPV5YC89fIiVXnn6J3J4TJbRaVJ8VNwqB/NpvNAIvaCIDHY4FuJC4oTlRmcn8jCa/xkHJOF2ankRnKkak4+hdxuzfaX+ijh2EQpMHfKUByc/sTU5Sf/pI04sK6BzYs0qPPxcaGJaq0rDdT4oAhF2tdHTbiF6YVQGnZ9oI/sSIQWE5MVCYgUpPIr4C7IWIoqfiMA0ItYE6ikAhk1i3ktWKRqO2cP+W+FrRKO5wKBKfSIQtouqOkbEYXBDVbeUXlq1jq6UNaBwRthwBRxkTZwO5PrFcC1ornA2sJjK4CZ88tVZSSdyWyLl6srXk4sEZ7kxPbwpzLdSNFderx2RFpytL8hitmVRl0IY753BGs1bNlBWqVtzlQvSRGjzjYPkw9JToeX7JOKMJOWJWz72xPJzOfD9Zii4YCr5WTqpSSuK+tzz0luu6UL4906P5ybQWtBITKEMoEVsjpPZf9Z+mM5fhxKANuWbuOkNvO1IpXLUlOZoDfssnNjnTDx2pwBIDiYJ/fiYU6GI7ERtqYXUjjsonoxlj4KoN9B2WVlBx8wGzrgy10o0jdZzaySq0fFEA78nOcquF9eUFbU1L7x2GJkiJaTfWDMPrmF+Fzby0saVqWfZ6UBl1H3WNAuKshXluuGjLELXDgO37vSZVjELz3PY0ef7bbY+RsofnEY1mSnvWqTCSUl0qo20xGx3jq2TcftSaSuC/MKhH4CcA9F8Dp3JbMUXJ+yZg8fheyPMJAywGKQHD87wDTInGEn3v+bwz3Ef29KgtFTmDJBHIZ418zoiB6j1a6n39jtc7QP2tJWf2sumKLkrC+V/BaYYY3gJW2ShT3tlToObcRvyV9hhbJekr86ChblnUVTXWIFWD1RmlDPHqUUpRqyLNAVUqy+OMX0HXQlrAR01WlhTg8pQpMVOr4vmbJ4fIHCKXxwWVQBfF87MjBLg+Z14uLU5ozQOVyjOGgiZu+siJngVDohC4ktD8gmbG8JHC3zBcX0fzAvKO+lIJyt8+jDcwtwPQlQZOn2jgdGJveHqgMZuWBiwF1PrtMWSUf6GBx4HduCQZqZmdlZXWKdG7Sv6qHAe4jetMr6zrebuusaoTExXLQN7gecQxoTEoVlo+gieyMmE2TlVhtszTsFWiasJWtGo3drOQiVQK9/SbHazwgUQmYzbdacVyJQJ5A6SGJwqByoTjxEcykRuZ78SNs44ok/FZEe3I8NFyh2VOmZTgFm9cfdMBp+QJg+OLLfSucG8m7jvFLUZy9Hy2jl4pSoI03fE1RX4piUfVJC+d04y2Z10jlzUwdIaXeeWD6+imM0sOlE7xRwdTrtRiuZAoSaOt5fTpTNUGKCw6cVsynYWLrlxyoS+BP/jCH4BZa27aQlVMCWIqrCVjVGpij/6M/jxSqWil6XvHYCyuM5yGjlHpZu2qhQlLiJFgDLEAneNzrfQGSIV1DfTTRJcy46dP1FK5hZWaI85o3DCgh468LJyMYVQae72Sc+bu00dGbTDWoU9jOwkVDeMGNIP3eAWn8wlVK1UpbtbizndMMrLfAJDKCYaeoCDdbnw2BvXxIzXn5si3tjGvkjwi7N4Wot/2p00XKjmg0HSkolsNodWrGgtD12KZtnpUNQ679n6a9tG6gDvRmsoYHPbx/tHEJMH9AkylelWAnpiPSmnHJYBTIrKOIfdHQ5QYXTcg/sreHp30ckzy3ir11jAllx0zT3Nux3MoJ3j9PBC5ggBjeY1iSBOmVkb58Dba6jW28FcM6vt6X7+T9Q5Qf2tJ7d5W7/fmLLjU3U3Lr4CpxErl8lbj9brhVOraTBSo5uxXncXUREmFdPPUqqFCWlOrOQ2eGCsllZZMlXSDPlHjbwlSJleFXytl8eSieP6aKD6Sl8DLRRFS4RZWLrdAqYZYDcsyoLLi6daxhEpx8PJSqCReMCQilUpkZaBwIaIoBDoijq+ULcOz8n8TUK8xTwIYEw0EduxueXHIH2tJRRcqoFNC8b/TAKc4+D17BamE8cfD97Q9trj7BRxP7HpTAdASTSXPn2jAuUG/Qt0Y0LA9pzzHhGPBsKIJGEbqVlQ6EDDkTQW5MqFf1beRSMGjyERmVu5xODyBOwyOwGcMGscLz01jScdA2SQACwG7BVwZ/sDAGcuKIaLRTBvzGnlkRVMJXMlEFjwOzWn4zIduxOMxrnIpC/HSWNBPdmBK8AXH1Cuc6bmqkc/K0CkwecY6TUwVGyPVaHSt3KMx/UAxis72PJWVP6XKS4zYVaH8C4NVjaO+Lvzgev6kND/kwJwDayy8eM3SZe76Edf1OG2wCu6UxnfwD5/5mjwThQ8hU/3KzzlStWY1lseicCnTl8xaK6vpsRps15GcZbIa5RMqJ+zYU4xDjQ6ngFwxBYyCKTdAU0slqUJIhRwDrmac6zFKo6yjnEemkijLyvzyglaQjObkLPdU5nVhLnB5/M4H13F3PmPOZ25aY7Sluz9T86ZF3zI01dzYSGUN2RqU0ajXIPoOpVQzPMmYXIyWxsDlQtIa1XWoDYgqrVG1kpTa2cJj33zZnl8MQTKmtralBfR9A5nPzw2Ydlt7kzjXu67FXB0Zw5xJ3hNiJI1jy2LtOqyAU2EGRRN7TEVZlp1RFYAnrVJHjagAWxnVHxlKMST9ulFKNKeSAHA0IInxSd6Ho75VmM0j+DzKEwSoChs6z/t+L6/jGBV1LBA4msKOQP1okvp1SP/7el+/k/UOUH9r/WubgtoA2OuIpv63ovZawYf2AXCIDFE5UZZtdBQaq6pzQodCjZEcCjmUQ46zQTlDXiPFJ4zTpLmQrqERt2uhrg1I+1u7X8qal+dKKYqE5bJ2ZKvxJXCtFuwIqbI+BuY48/Rdwdo22WffvOp+a4h3LQAHS8d3Mj2GgOfGhScyAyOelf/c3hjqq2nphsCyBvwG9qgoGbFLqkF7hhbjdGPPM4UGIm/s4/tCG+vXw2Xye6q/elzJPBVgKZIDYVbddv0ePdX4TbUxpvK1A1iNRRPp0JttCSozln6LapoYNvipuOKwBFYKCYNBk7nSqjQtlYmBhWWD0I5KwZIZNgPTRwyWxErBkPAUDD0/MnHPR85YFJVuu99POG6bKOBnrmT0liobmjwgrmRW7kLlpQNU5knDqjR/tAM/nO/o1ysJx5gjwWg+j5oQA6EbeQmeX+JKpwwfbMdpGJms4+X5mXvnmHLABc+aEikllNbccmSqipNz3Ff4k4L/UVXWWulMR3bgq2JRlTms/GB7/qfR4MaOy+VKiInw8sSUM+e+x5eCyYk/apqWc23scc6Zj93IOnasxvAcI9EotNFo1+F7h66a3louJTLMiaQUJ+volGr/beMWHRdjiwfbRrS1GNT53NjO+Ya93dBKMSoYho4leFIt9DnRx4CLmVVr3OkEShNSwk0njIac0qthEmNQ18trraeM+63WVGMo2qC6jtL31FqxG5Oo+m4/gd4Amc2ZmhK1FFTOFGup44g9Gm+WpTGhMe3gTcCg1o0NFcD3+Nj+V/WbKUgipDbGUfktAkpSALwnpcTVGFatUd5Tx5GhFM4pYUUqIDp9yS4VxlUY0VdQ7t7qTeU62WdFcyrjeXh7P3HbH8GpPJa4/QX4ClAUY5ZcLiavnN8+xhGo5rxHTYkUTBhheJvocsygFfAqwFduK8d8jCh8X+/rd7beAeq/dcmGuW0UVR02uRh5rXGSzSmlFr0SQvuwO7RG1RAgJsp6kAtsZvESEnlt4/iamkbV6E2vuiRMjpSYW+yUMkTfzFJVada5UPuBGCrPi6X0EJbc9KdLJKB5fHnm6bpgU0csE+Ga+PlLG3n33cD3pRAwVCrLNi5XFBYMmYxjxhP4juGZwsjAd2ChsJuSruxsqN6+S8aoNDNJVqlhzyp9orGlAk4X3gJMaG+UmKDs9nwykpe4KWFOzXbfZXv8++320kS1sMdYKaTNKr9mo3bb5Rlx9tvNad9KSDsyAz0ZTUWzYEn0BCwBzYoibgH9mReu9LgNQnsyiogmE8hkCoqJTIchk7AEAokF6FGAwXBm3MB4j2NmxgOJRETxI9PGt1YGDDMRRWLC0BEpRJ6yplcduTe8mEJfLbkEnuKCqQHnz/w711FKZJkcawn8fJsZrUP7xGoVuXYUv/KpGj6ElcyVW1qwWWOqI/lAVwofUOhYUBV+jIWxK/w0ncA5sjGEWrmERDTbqYzS6BqpJeKS5/45UlUhxsh/qJlgNKNf+XvNpJCYXM9Hn7g73xFyRp/v6K1FW0dPxhtF7i1/NA7VOWpKRJUZYmDoHNp1DNbSeY9ZPVU65fvd8FLHqekwlxWen1HOUWOiH3pOJbLGTEmFsCwtNxXFddNwqlKIxuCNxddM51fMOHJGvbrTlbNwOrUMZQF71uJKpbd2k21ATYnBOTqpDJVRda2v+ZydUgw5M68rqu+p3jMMAx00xnTbb6p1b5m5LerptSr1em3sar/lmQqzKaN/RdvzpFUqhAY4u45gLWsITNOE6jqqUsxAZ0wD1xJ2L0BMck5/HbwvsgIBxEdwC/tYXuQKx7H/kW1Vqh3/sf5UmEwZ3cvlojWVy0WiIIYtOTZx7UtclQBR0dAeX4+8Tti1sAKOX99MdlID9u+/Bqjveajv63e03gHqby0Z+xxHPtD0WvJhluLrhpuWhXC7keYZg8KhsLJ5bq0vZV7JYdOhptbYY1TLKU1LoqyRmjI5VbRRKKcJa4uKKsrglaMMipA0uVcUU1nnQq6RukSero4aPd63z5mcKuuauObM0zVyS1BiIcbE92+OkiOalW+LIVDQVF4oROAetaVtgkax0POFTCHxAc1fqdTNhLOvZghqQFB+ltG+4m0QfhuXtyUh+DJSF9BbgB/YAamA0xM7EBYpgdkeT+QEcllh18Cm7edCA9PP7OP79kr34xVJQIOVDaYnVjwDPQOBhMdiuOMDPeC48cJ38pYpmplJLETiVotqtpgpWIlcNvPTgMJhiVQylUrPuCWlhlfGOaKwWBy3rSygErfcBMsjK3d85QcMJwInCvd0/EgHjPxFB55N5d4p9LryWBI/9j1DyXxyA9lYiq18dKCnib8njy6W2VSeb1c+mZ5PGc7Bk2ulU5E6aL77FV/hUzLMKtOnQi2Fs9b4ztA7zb0b+dR33JuOW8nUXEmqkoaOuzXglMKHZ3KtjN2A6xRWKfoY+VALXancdGHRCp00dTxzP0wMd5paM85ZgrHMCmrfN08iMFJ46Hts8tTBMfdnxpy5D6GNrecFaXdTWsHQoz48tIvWZWPNWgZxHEdCLhRncDUz5kyfIi/e48aRh/MZpzXVWL7VQsyFD0DQbULwnDM/5Ew3DG2ELkUdQ/8mL7Nah7WWM9DlRELei4BV7JpOYUU3wGWV4jwMdN6TNra1yxm76eirdTsQk/1NYqGgvdbNYV/Xg3td7rPp56W56nXlDPf3oDXJe9QwNKNW16GsRS0L6ZAJ/eqcl8mSyAuMecPQvjKgoiHtun2kL6UpRzZTfham9ejWP47Jrd1BqIBhAdvC6kruqYBoideS8bxECUJjT+d5H/mL3hZ2MC7B/LCDfWFuj9Kx40mDvIb39b5+h+sdoP7WkrNp2VyFLSiHTSdFWFdSCFxfXliXBWozQ/XWcTYGu50dVwAfUFsAvy5tgy0xk0NjTCmFbDpwGt1pYlYwVXIupCVSUyRki18SqpbWEhXB1MQvT45KJmTLZYGEItfCHFaevj1jkqVcKs/zjW+3RwwdlYkVy0okE1gJJDR3lK2vqfF3FxIvVAIOS8dfSLDxdztLOdNG7qIllQinAps/vS25bqEBRLvd79j2FNhNTeLml6xRAaHCcB7ZWENjY8XJL+N7iZy6sMdbyWvIwN12udseB3b2NGwgsOI2Q5Zl3a6/YDfes0Fyj+eGoTIybeR43Ub6MNFjWEgo1BYt5TAM9Bs4LfRkFAsdjoLlmbhllQ7bq3ZAwpK2SgLFmcwvRP4LhZUerzQ/1Tv+iOakNY9loZZALVDiyuo0WVfmtPLTcOaT6eBsm3u+c+Sb575GfkDxZV74pWSmGvmsO9CGv5XMVxXJzyu5VB5ioe80sdfcTROTc3RWtXc4rehcsVXzVAp6CXTGcH+94nMkbp0LUy2MWtGtCzYlDAVnDUuI6NOZoQB9z+oDd/2AUZXcdwTjGEumGs23EtHrrcVE5YI69aw10lfQtVIvF0zK1IO5RpUM963bPj9d0JdrY0pLRY1D06NWmHPCLzM5RmIMmGHgYTrhup7JGNzryWwh5YoxmjvXEdaV1HUYrRmtwQ19A8Ndv4OprqN2/W5icg5bStukc26j987tjJ+AGgF325jc1toMUdL8BM1kdr7bR+Jy4r1Jjritryaf6gP4Q7zTODZJQdq1sqS074vHqKVxxBpD9Z7qHMpaSmknK3bXLL1Wpb4CX9GFCnAchh1oymtxrt3vaIYSplKA7DF6SkpWjkH6Av4EeG+RXa/6XHn8Y22qvN5xbLf1viUjCEMreuBjxJWkAEjz1dH8BPt7ezR1CfMr2tXjemdN39fvcL0D1H/rOoxYjjn9R51QKIW1FKYPHwBFiYnZe/rThB3G12iqvIS22RsDOaEplMWSs6eaSloSqIjpDGmG4iPKWfKayKlVnsY1UrVj9YpiLLomvvylUvyNFCsvtxbwn1MlLJnbbSEumeA71hfHzRcUkYgn0+NZWLaUU00lofgHPQ6FZuEbgV8I9GQChstr/qeM8zVv3fqSdQoNAHbsY3NhJuXPr2OvMxW2Uq6TmCgZ0Xt2vaokAogpSqKmhIFlu5+M+oVRFeZWwOjAbuoSA9cNy5XElY4b0OpFIZJZt/dlD+03m+M/UFi5oTFYNBmP2+QGE2Do8BgU/WuY1UDiTCITWCg8bErWjo5nIgt1S3dd6DBMGMYtU/aM4Yzljh6P4m77XSRWXM18QDNR8MVyI3GP5n/F8ofTHf+B34PwAAAgAElEQVQ8X/hFF27O8CVfuRTF8L1wlzX3nWMCdD9hUuRjqZSiMbXQ6yb+MGugphbi/sn1dIOht5ZriZyswuSI0+39/ClmOir1l2+cS+FcFZ+cw5jMVDLzNVMM9CGhxo6PpTC4AWyPsw5nB64o6Cy1wD+dJsauI1ZF7SyuJLLRsC7cGUs4nYnZc1lmsld8WRYGHxjPd42VhAbOzieoFZUT+dsjeuzR00BNeVc1h4gKnhxWfMn01nJzlqg1F61JVHqtKLVSvEcNI9SCXT3oHpMz0+lEVbDEyDBNTUIg4E83s+PrhEY63a/XPaT/GN90nOaIQUdGy/O8A9ztseo47c12Und6OjVDljjKh6HpUnN5yxDGCMvS2F6tdqe+uOkFkB1c8V3XMTjHnBLqdqPmzGAMnURJiVRKmEYBiUcnvzymMJTHSCw55iM4F/ApTvrbbWdmhQ2VPfwITgWox7iDU9ngj8YqOYkQQH7MPK213Wb7m2pbWvdWb3pkTwWYy3d4a44S0HqUKLyv9/U7XO8A9f/tsha6A0ItWyamc6SuQzkHWkwMoIaB2PeMojvyAeWbJECl2DJRYyR+faZU1cxTOWM7TUmQs8b0jlQ0EUVcVuK8En0lVNc+UJTiH39tH145w/MTLB4sCT8Xbl8XfC7cLjPPQXMhb+FGGs8ZUKxc8cxUBhKZhYrjG1c6LniuXOjIXF+BnhiUfm10kmB7Ge03pm/XhUrofWavJ5WxPexg9UwDrCd2GYDZ7ntDkkH3CCkZzV8Pzyss63V7bLm/SAfU9m8B26KPrZs1aqFuMVo9UDeGVDHTMTCiGLbXnilkFhKVhMFhAE3ZIrp6eiYcbiuCvW1A2aEZsJspK7GgKEQMiTOKhUJgxjFs0gDFsEX//4jBUakEnlmYqXREHnA80DNjedxCrBSFj2bgP3aOz9nwdHvhkRnywi1r/plCRvEJxz+hqbE910OK/CG0BIHeROZcuPQDTlk+jPd8roVnMoOClxqJCrSuLHMDO1cf+ITj31M4K81SC5+U5rMDE1fyGvhp7His4GOCU89Ha/jUjxjdUiaUtozWYoaBElfsOGJTpSuVrkb8baWMHcv2AX+vCsvywiVnHmKm15pOa16GnsFZzv2ASy2ZQ10v5KLQnUWr2jBCShAi9eJRMaBdY+iys+hqCP3QTkSdQpeKC5FsHTonVlVhzlTXcXd3Bz4wU9FGU3NmHAf68+k1zqi1yR2AlJhzJFNUKVAbsBH2UYCOOMdrbYBM/r1dX7t+Zysld7Tvm7Hp8Xu7bprgeqW+XN5GMdUK69qAtIAs73eAJtpLGVPLGoaWDpwSXa2klLDnM12tWDk+0YoKQyl5owI0hTU9jtoFCB/76zdT2Ru9qbUN2Av4k2pSAYLys4BTYUQFOMPbKtTr9a2ZSRIUZO+fpleW+o2rX47/1y58+RLN6jF+6mCkBd71p+/rd7/eAepvrb7fNyvY4kZ2w5Mqu2vT1kpdV6pu8VAlJ1hubWO2lhoi2acWpl1rkwbUQl4C1XXNOFUVNbaoqRgqdnSkuRCCIi2RGMCHFqyvXQvT/8ffMsqvpKx4flHcvMV1ivWWuMyGRIe/Rb6GwhNfNi1p5bpFNXk081YNarkRUZxIfGVmIXLZDD+31z+XY5e9jOEn2p+TMKkTu4v+RGM/hcEU8xPsoDGxg1xNG/vLZiyZpwIgBZwKyN1SFF7bqQQ0H6nuFxrgFYMV2/VirJKWKwC1ueUzIwrdRBMbv5pxKAwZjd6yCSwW8BQcmYkBA3gWLJURx4RloCNjeCYybxUGPYYzhYJiBDQRjeEFSNQNmo+bira9zkjgR1rvVqDyRMFTuRC3x9J4PJGOAccHOiZ8m5IuTTf4dUuq/USHp7BSNy7Zk+h5IjGgufjES2e4cz2jPjNph04ZTOu2T93WrlQLJUbsJTIozV1t8hAHnEh0KE41MZHo3Qg5E1VmuTux1EzoHV73ZG3ojWMpBvvhI3VeKa6jOxnc2qLX1Lxip45YYbYd63xDxUiInhg86XwmlkqtFTU6utMD02aU6f2K0xqVItn2aKPQppkeVSnw8kKdZ9Rpavjg40OrFj2fMRVKjO0vtRSqddQcsUpDyXTjwND3pHnGdl3TmW6moTwO2M3gZLuunVjWbX8RUDoMDUCaDZgcw9qPjvCjKWgzPiWlCEqRtMYo3Z5HNJkyPr/dULfrDipTaqzpcNBKyuN2XTNviTlIQJswiUcDkIBreDUe2VpbveoxymmTMbwBiMIKC5t6Or0FajLaPzKg8pqOZiiRPdxu+8hdWFl5rZICILcXGcAx41RqSlPa46KOqQLCjEIb84sOVthWAcVHtvfYKCW3Of5ej2avX8dfvetP39fveL0D1N9aMW5Oo4NBKqa96i7414zUbl3pn1+Yb7cWzh9CG2113WtDi4r51Wig/UJOFfFYpVDaft9pclIYm0mhkC4Lecn4SyQU25oAnSP5yJe/tY23dAPff474F49TC8uL4fKU8R7W5PkHmhuZjsgLkZcNpiYiMxWItHZ5R4/iZzJP+C0DVJzuYjySkHrRfwZ2oJnZAasAT2FCDW38f2VnWDcG6VVDKpFPA7uR6kYbxx/zVO327431IbDrXcVQJABUjFJX9hG/pAGINhbAMKJJBAzwAUWlUiibMhQUlhHbZBkUOiyBgmIloXHozYGvsDgiGYWho8OQ6IlciZt5CSqVG4VM5jMDjp6ViCHToznTWqUUeTNotYzUEc1Mbu1F6M3aFvlnAh2eexyWzJ9wTHR8xnBD4ak8qkCqGkNhItMDhcoZ+KgmaoVJOT7dT7hYeDKKKcLUT1itmdMFnwu/3C7b30f7EG1AXuNq3QxflUTkAwOBQlIKPZ5wnWExE0HBYhTfSiHVQphG0pL4ohTPveN/udy475vhrxSL7hz2PFCfX1BakWJkfZq5O/Womhmd5W9G8Xdr8J3jZV74kCrDshCdBWdx2lG6AW0tuhTqvDQAqnTTTA49+n4b+7vGlklMXKc1g1Y8VphLIefK0A+4viPGxNB1TOPYwJ1W8PCAMhp3NMIYs0uE5rmBKWHkjGknvMdoItFi0v7Psyx7JvMGZJK1XLVmLQVyofaOQWvOfY9NqY3o2Ubfkb1uuT+ceAso6vt2DNCMoBJEL4DxyCaKgUjG0RIbdcwOPUoABNhO0+sJ/usYX4DrMRhfwKA8joD4Y3uUgFVheKepPb+UBYhc4hghdQTHYjITXaqUAGwJC28yVCXAH/bfy7ruxyyXw/47ExD6a/ZU3jMB6HJbeBtT9c6avq/f8XoHqL+13ghOaRV//8p11lrO44irkELADT3OWqxrADWHvG/+JVPnG2nJ1OtMnCN1DVhdyL42FjVv8VDF4tdKzBr/NKNyIsXKL0+NwdAUfvlb4naDrqzcrpmXrIkUZgJ/J3ChYsg8o7ltTGUgc0HRUbluw+iM5xF42kBTWwL4hLEUnefI7sA/wa7uYzcswVsnvzj4L9uX3Faea9oeV3JLX9g1o5WdITXsjO0RiIoeVQxSYqQ65qAKsyvmqkTHtHUyQYNuFU/TTWYChYql0IxJhg6LxuKoDHSE1yF9pqOQSOjNygRXOlYGFI8EApkTjnEb0M8szGRGWsdUT8JR+UjPiOFKQG/AvQM6NDOeeRMFfNpgsts0r4W8dVwpFJEXMndYHqhcKDzWFUXmtBnPriRmFBNdq1xwYJ0jFcU5FH5MiQ8Uflo9P5O21iq2uLEmexjITChOOFY0joBhYqIjTo5QCn50PFTFrOGq4G7oUCVxQfOffeLD00trW8qZv/c9D9YxqIEue+xgqcsNdY3NHT7PFFWxuqK1pnZ903U/r6whETXEUnk2mpIjp5r4oBwuBbSaGzAdm/a4jhOqZPT9ubnquwZqqm/AVYCCXVdO/YDyHj2MFArGGKI2DL2hcw41NbCphn6PEhKDZIgQ591RPk2v1yln9xE9vGUQpSoUdtB1YPNCrSwpt1gnY6nWMt9udN+/46axPc/t1r6ca9MaYfmOQKqUBtalmOR02hNMjq1PAvIEPB3b9YSFFLAl9xNweGx9EnAr1x8fTyKejuUnop8V8Aqv1auvzyXH1fqfdwB4jLA6ak6PpikBp/P8Rh9MCI0tFRAqIPXYKCWA/QiIj++v/E7lZEXeJ5FoHLW2R+ZU3tP39b5+h+sdoP7W+nVG3VFTJAH9W8NIzQV7OmOk1tR7Koq6LJTbglrXxqJag4qBvEbqdaGGhKKiNJQ1kG8rpkTqzXPzhnkOzEsireBSoYbKL/8oLZoqFX75y8I1JRyFG4UbjnWz7fyZ8pqj+J3KlUAl4zFctmzRFccJxQsnLpspJ7+yohIVJXpTYSBhB3vCpH6hAcOB9qcl+lABkaJNLdv3R3YTkwDIhQZQ3Xbf63b7nr31SbPrWdluK8BXLhdmQkCsLGFp2b73NK2oorVjZSKejkwlcaW8wtsGEO0mJEgU4qYibU1blsCFANiNxy0MGCqOFxQZxQ3f2EQCl02K0GpPFROaCUXBkoA/beatQOQOKKx4Mn/lO/eMlC18qhL5TI9i4Z7CDxjuSBsHXfhKJNBh6DhjGOnpMQxEIoYbkScUA55aFTZGiJUBuzGz7SRoRbOSUVQ+kFkBjeJK5Y5WYfBI5TOOb3bkhwr3zmJ15WkcMNZwLXAziuo02Se+LTN/DoEnDUFrPpuOQSn6mLj4VhtqtEEtpY3ga8UMDdB0KbLk1BzjKbOkiDeaQSmUM/wpZ66rRy2BNa3kbmi6zL6DhweqUmhVUecRvG8AF6hr+W/Yt1oB6zAoHs4nTt3mzNcaezrRDz1Wqc2Z3+1AzvsGTEUvKaPsDbyqsoEYd2DMBJRKasgRFAqjt7GN1XXEEFDT1N6f5FExonImK3azldYtYgq1gzABTJtJ7DUsv+saqIW30U3HUbq41mHXdR61lAIIZTwucgAZucMe2STTKXkOaCBWAPGx3Qne7sHX6w4cj41OR/OR3F8MVeLuP2pOxyY7eW3EEnZYzGDyO4U9n1Vep/x+jtFZ8lphB5xH49MxJgvefrYctcbHz5/39b5+Z+sdoP7Wkly+177k3SH7yjZslYH4bdy/rChnqd63Du0sVabdq7apXG+ky0pd1ha07wNGV8LFY5InL57nx8jL5cL1ZSFcIslHHJrlscP0A6lovn/NvFDpKVyxLChmAguVv2C50qFRXKh8pzJieSZtjGrE47hj5Qn4yh2JE/vYXvrqJ3b2UXSkMuZn+97z1rW/sutFLY3JnNlZS2FUBcCKy3+hgdKjplRG9Hn7Luamyg6Oj88tGlNx/w+8TQ0Q8C1RVvqVexzR9FQqFb2ZpQTiWgphG/8LzF03LW0b4StOG3Bs4VaFuL3P/5W9N1mStbvO857dfU1mVp3mbwAQpCHJDg0sTRjhS3BooBvxXchh3oMHvhWG70Dh0IQDDywRJH/gb05TVdl87W482Hvlt6t4gANCECEAuSNOVFU2X5d1sp5817veNaBYyA1quaVLlb0EOhRv6XiDw+J5g+XChZYVReAORUvgRGQkcAI8Y4FCClQv11a0nljyF+A9iZWOVNReRZ4OtjKz4lmZeM3K63Ke8nEkv/qB92Sva9bNNR/KtZLcgxyb1dDTsZJwSnFAY/qG0SRm24B29H5l9Z4letIYmG2DRnPWOo8IXQIhzBxNZFWeV7uWZDTH4GkPB6zW+b/gPKOWmRQTjTV0IXAxBqU1jwDBMy0za1KE4BmiZ9f0dPs7zkDXNhyaFt01rH7FTxPu6ZGm69DzmgHT2mtXepqXnBygDTqFrN5ai21b7N1dfrxSWXUVpXEYcuZo24F1OUpKYKfAXh6NHDcFUfym8h5SPJQ+RhabP7DYlLK31LnMSgW8bInOSm1bwvknmCdsNSUqrX6DIimVQ4ZyaUaSuChpQKobd+7utnOQ6KS6OUnATLriYbuOL0vp9chQATLI99cTpcRHKvsV9bHvM2BKiL+ol+L1LD7YK2jWvtO6IUqUU7EcyDACAVrJVq17EPb7zd5VNz/JY15U1a7nAs+V4hpMZQnk1937NZjeIPV3sv7yr/76n32f/+k//Lt/9n3+MawboH5uTVMe97csZdTfuikFfr3Okk5lNGKaZhhH0jiShhHWqjEqRlTwqOHCel5IPrKeZ+K84uJMmD3Ge0JUDItlDomny0SYYY6gbcO3jzHri5eFjxfDiYYGzalMDRpouBD4BjjhyPONEg8kWhQf6coAUYVH0zHzgcQDHq55pQ9QlECuAfcCm9LElMrjBGtE9aTc91Qen8eHbiV4UTeX6mdRT+UYFJvfNFU/w+Y7lcfKr7CunpvYYFrU2pnNEyvnadA05awCbYHiDo3FktBE5uuWxC0LEDEYKOFQOYc0lASArKvn4H2JiPLFMjABHS1t0SazXzWhmTBofkJDx8IdDW9wHFkIBdATgRVFJF2x2wEnFAZ3TVz9BZF92f+E4ksyZM4k3jEx4GmBHemaZfBj4A7FVLb9BXnE6plQzBIdedqV4YmWCVPa1gI741iMIhiNspZT42jDyiUkbJz5qUu4/Q4TEslHurQyhZVHVi7TyqIirTNcGs3sPcfWoa3lddszkDJkKsXsc6aqdQ2NczmUXmmaeSakyDJcmBLstWPqW/yycnSG18bS9TsOwKoTs1XEdWGOOVt0iInOOg5tmXSkVA7w7zpwM8rZ/OGy664KqApZNVSuAjTxdu72zxXFolJ6pVhJ+BSx1tJonYd4yHMlGL54Nr0xnGNkUir/VjcNrbEcDnfYZblGRzXO0bUtY/CoMZCMobu/p9nttmYsgTTxgYZiN+q63BQkMCR+WFH76lK8RFnVYfOiFEqWKGxKpUCspAOI8gtbx36tmtZd7yXlIL+dpA1Otd5K8GW86/W5tUornfTyVY5fyu+icsoI03HcVNa6G1/gFZ77U+U8BU7rbFb5EADPlVO5brV6WsdKyYcUOb7buq0/8XUD1M8teaNZcubj9Y+OvMGE6jYJei6eLJUiSd5oyif9mID718SgWZfsNdXTSBwuxHEhPjwxnxZ88jzNKw9TIswBrTWnh4VhgRQ1ceg54XAoTgTOLCWB1PIde040ZbL9ypHErvgPBzyKIysDEcsHdEGwkewjFXiEDHaiZIpCeWbLOxWf5x6uEVOwwaXAIuXxsj1RYUXplMfV5f65eu7LN2uBUcFG+TWWDv0aUmP1s3hURYVdS+JoZC0l8b5YBPIReGa2jADRcHPJPz/mDuniX4kYNB6HKjkA0BbElbRWC1hmNFyHv+Z2skRiugbv50GqC3+GQTEWvM7A+xo40GBJKOAVcI/lL2h5zwXPSk+iK/e1bLO0xK5wX66W4H8e5Jr4sjz+z9Dc06BQfEShMbREjHI8pJxpkJxj0JopJvbRw5qYVaRbW942jlYnzige5oX744h1lhAjfdeyT4CPrM7QOcNPTcvHsPBtyEprozWGC7OxfGc0d85hI6h5Ig0DLYp7lXAx0ux6gnasTcfc5iuYtOIjCZY84vdLP7EzlkVZxnEgtT27pkVZS5qmPIrTOUziCkSqcbDfPVP4VMhKniLBOEBo8CmxGMMaEzYmmnXNk5sEqGIkpMglRaZ5RoVAulzyfHrpti/RUldINIZlnpmahl0Bp+QDwzDkyCaBwRBwwXPXd7Qx4kPAGoOzbrMaiXezqLNKkffV7593pwsgisIpSiRs6q/AlHwvE5gg3ybfCzAKHL6MTJLM0Zd+0b7fwK8eQ9p1m2pa57TKcQlUStd/Nfzg6qmVa1zGwl4Bu+7Wl+1InJScr3wv06LkGGu1VfZfXyMB7tq3W/tKa/X4pYXstm7rT3zdAPVz62UGnfixqttkfGByTZ7WovIEG0IgrKXxwPusWJwvrI8XWCeScdkvZg1euYyKtmFVsGjL7CMXn3itHcOTx8+GtVU8zq/w7DAHxfvzxBnLWqKJ3rPwxIxm5H2BC4vhAysTlsCIZmUicrw2HIm/9MKmZmq2jFIB1jNbzqgooRKOL2Dp2aBWQFK8p7JEOX25BIS7T9xXLwFhaYCy1THCpnPK9uQxoThBA454PcOEuWYBzPhrcmqt6UpmgcT6y7iBOxwWxR6DKQqpInHBc2LDZNhyDOQKtMCbsq174BWBlcBrpFELBgyWHQmDYeELDPvSiCXnAfA1Kz0Dd+W4D+WMV/Kreiz7l5EJUzmGN2xmiQvgsPwUzQFLpGEstoCDcURrWGLMWaTAj1Y4OvgmBLyGXVHH3DITp4mDylft7GzJb1X0fc9H75lUJDSKw2WCqGla6OeV1hheGct9lzvQh2lkXibGD4F/0eRrrZxlcJZZabQ2KOfQjaNrG/pxwKwzi1IYpTi2lq9V4qANpnHExaNMnnCknIUEqm0BxYpi9+bVM49o/nVSOfppnvKYT1EIdzvWBOfhwlQsPGma6JqGQwhY6eZvGpbTwDTP7FJCKZXhPoSsotZjOgXstMbv93mi0zCCWVBKoVLCywfgxl3jlmyMOb4qvuj8luglpXJT2K7K8KyD8GHLSoUN6OZ583+K11Q8nnVYvSiiNVTWPkr5Wm9DbAHyT9ICxIJQQ/7ptDVaiRIraqhYCGpgFE9o3cBlzFbel+56gVOxccnj+n47LkkGkGYssRMI1Nb7L78v1yWwK/t76T2V6y/PrydNybp18t/Wn+i6AernVh2NImMJnct/HKB4ssob7TTnXMGnI2ods3oqfi0ghkRShrQ/sHqdm6P6Hn8GowdWLNOimfSO0IH3js5oHp4CF+XRnWd6v7DwSM97Hs6RE4oLmgHFU5l5tDJzwvCePPd9IHBmLWFEIwO+RNdL05OUxgXZpOFIitvSCCURUTObJif5peI1rT2hMqZU7AHy8697s81Y9pstgWDxqYoNIL54nCitoGlxzFgckZUeiIRraJWAm5gH2urs79hi/bl+XYsqusHfUv2TKypGiDs2A4SkxR7YUN/QcSbRFtdoRNExYUqhHzbH7hdserQmY/tAHvLal2OfgG/ZvKUC16l8bcuxiKc2q64tK64EhK0cmfkmzLTBMReHrSHxdW9hPPOWhIqKVypxSfkIHQHrLEkpnDFYpVkWT5onkgZnFe3ioXVEZ2msIwTP23Eh2oj/OKGNRfuVxVl81+K7niYEom1ISuH3PWqccqOM0TRtxz7BZC27zuG04vXqsY3LmrXS9C43sH1cVwatmIzD7XpsitzXXsMCEqoE+gdrWIzBG4tVCjcvWGNYlGJSmp1zORu1aRiWhbbvcJJ3fDziQ0BpjSpwpVJCaY2XBiLI7zMlgzNNMyYEkvc5z1UpYggkwGqN2u82W4AxGUyneYMnAcqUUPd32/uYdMPXE6QE7KQrPaUMcpVKex0zKkqiqJYShC+legE8UQvlWsr0JoHwelSp2AME2qRcLl5TgXbYyvjiSa0bl+oYLNg69esRqqJSK7VZBeS5EnslcBpjfj3EnyoAWY+LlXMUUK7Fi7q8L8+tz/sl1L5UTn8HUPp//N//F/+jaz//wNv6b7v+n//z930E/7R1PP6+jwC4AernV9tuxvhpzm+Y53NucJimkoVXOnVX8aRG0roSpjX/gRvHPC7Rr6znhXUK+edpgiX/IfLjyvS0ML07g49M70e65IlPC2G0uJgYZs1IYIfnATgXj+GRmXd4zuQu4yOJp6JcPrIwE0hMOBzhGhMk40AVWxORwKHcLoroyvNcUlFdGzYwlDdWwR7Y8EywTVaNWnUJnhfff24JCK8vbpftfurWuSSfrtcjNtWjpSnqwKZ2Cnp3bG5bW77WyC2Kpfwz5CvRlzN6BfxPZFD8HoFBRYtlIfEtnp6JjqyoTizcVWcjKbM/Kt9/Cbwu23ss9/VkP2k9APYrMgh/Vc7H03IicSTHYDkMlsgOxVdEehQrkUZpfDKci5VkJbAvv38DLe8Wz9rtaKaV1Rr2tsEaxcOaZ2lFH2mMZqfgrQXXGs77PSjD6+DxfuZhXZniir9MtH7lkBLJamZr+c419Krl692OaAyLNvSxeL+txfqtiSVZS9tajPf0WhOswSiNSpCITEoTu45oDLNr+LgufBwnnNGEdeHLXc+XAqVGQ1KofS6N+5Q4j2OuARhL8jnz9GAM3nuUc1mFTQm9Luh1wft1g7/9Hhsj6zRxsZagNVopgnPc7Xbw6lV+HxkG0jhdoakxuQlsgKy6ti290bRSntY6N3G1blP7BP7aNo9xFUVOutQFlCRkXsBKRqHCVlKv80MlFktC/0UJhC00vw6gF9iqUwjEHypAXIf9101QUs4vo16vIAwbHIp/tW6EkuMWcJfHio1AvKLL8hxcpUQvE7IEwMWfOs/b+cl5SR6rXIO1eg+qfaRynnK7nCs8TzyQ++uvv4P1b3/4L/yb39nWbuu3Xr/4fR/AH+a6Aern1jjCx49l/nTYwqiX/DUt5VN6zKpDWtbNdD/M+Y/pupJ8JIwzcQ6EwWN0IipN6A7ENTCNM6PrCW93XGZL7D3TccanmciR8WHlkQd6Zp6wvCfHC30g8AMrjwQStjSveFbWolsmVhKwMDyLXxIkE8+maHBS3hdUEygVPVA+1ddxTYZNW5THSAlfVNbawVl7S0312E+D5T99Pd9Gvcc8/NTQFdVUyvB54hGlRL/lDojTVa4IbCFa0n6lkbCqrC8P1f25qz7fb4E9ji+IvCWwAy6kMq1r+wgg+Qm6PNeTAXRHVmkf2CD5jnz1XpWfHZqByLvy2Dtgj+bPS17tCc8Fy9s82Z4Oiynn3hB4w44dCsXMY1p4wNIQaTAkFJ7EV7ohNJoGTRvz786DD6x+wqHpywcYvTtwaBu+Bg7jiDOaeDqjYqSNHhs894cds1LM1rKsBmc0szEkZxjnhfsI9+eRue/waWHoOpLSdM7SNBkKjU7Q5xKtaxvM6YLab+NEvTEsITD73IX/YRo5AT/tO7T36Bg5XS7Mfc+dTHISFVJrlnlmRLErCpm4GxoAACAASURBVGjSmsF7GpkeN08wXFDGEG1Wje1ul72p1uJLg9RsLR+XBd11xBi5NyZ/SBqGbAlCbd5LY7DOcXCOZl3z/25r8z7XNbuPpQQ+z8+aepRiUyZr36h4UUUNFaAVZbFuMJKvAmYCn6KY1oqs3C8eSgFTAWkp5ct94hEVyJTnyz6enopHtjreep+ymmbzmQps1iV9gWiBzRiLuJCeZ7OKvUAa1ERZFsuCbAu2+wRO67gtOT9RWUWBhu185XH197Lq8v6n7AK/xfqbr/8V401B/b2v/+Vnb37fh/BPW8cj/M3f/L6P4gaov9EyhqSKl1LecOspICojkNJZ5SAlgmlQ+/zmnRKg8nSosETUtJBSJIWEOp/x55VxeCRM7zmfIS4T84cz/hJwP5yYlwsXRnoWZkaODCx4jhh+SWDEsrAy4TnhSRguTKTSRmOB8ZliGtn8oQKf2aO5FbQbNqUUNuism5vqtbI1WdXd9KJPiqOzdmWKV1XW7wJOP72k4z3ruwHF5ooVmKT6WYwNpejJazIELmyBWpIN0JV/8qdEUL0t+2vIqmduiFr5KVlBfSKD50O5/8/Lfv8z28cFzXbV7tnazB7ZyvZflcflZilTXl3DnsSMxxA5ciah8UTuMOzY7A4Rz1soR3rkx+xY0TxisSi+puGAZyyZrU1cOEwNmokJS89Mrw+8NpbXWmHmU7ZIDGd2a8N+HfIw2Kah1Yl5vyMtGuv2dNpwMBqWmWQ1/TChnWNcFMlonGtI1vHFfodZFmZjQWls32H8iqlK00kbaBvU4a68EI4UE/OSY7721hKXmfl85pwib9+85VXb4pxlOZ+Zg0eZ/llDUAqRNeQMVlVioNSaqx/+fGbftfQpMeg8KjWtK13boq3lvK5M3qOs5aI1U0q8tRalNUZr1mUlLGt+fyjeSN+2LCHbOVyKNE3Dvm2us+rTsub3IvFDil9S6+x3lfGkElck0Fd3zU9Tfr40Q0nj0EsFT9TQ/X5TEUXxe+mbFdXxZdSTAKh4XqWUP8+bKirqp0xlEvVWlFJpapIPDVI2F8iUc5Pny/HXjWdFoX4W9VTHXglA1p7Tafo0nMo5vAzYr/20cu3lqzymsnw9y1Gt1dmXUPpfAan/+//6v9F/8ee/9fNv63ez/uBipv7jf4R//+9/30dxA9TfaMkbh7wpOgda5T8UWueMwaYhymhAgMsE00i6DMRhIo4z/jITF086nVFEzDQyPwxM70eWjzPrxwGeLizvTkyPM6fFs5I4MdNyYuSB96zMJI7M/ENpeVpInIEP5FGmF8ATr1FJ49UnKpApo0IFv0TllMD7ma2LXhBJFNNfV36/lK+Safr7j0qRknzLhsaezYtZa7263H5gMycoMviJCcKzDUyFrJbKlZE2MeDqaRWUl875ngyeExsYF5zie56jvybDqzxGlNUvyrHvyd3+CmhJvAN0ef17Iic2BfY7YCGyA+4IJdd0Zg98heIeyy8IdPQ0rExoFB5HoAc0eZTqTORLeg6mJQQLHNlhCPGJr2LPjxhL2JhF6SYDkzmgXY5kaoyhA0YTUNNEjIlDa2mMpk2ap65jV5Sne6BpW/oEB9cwpYRJHqXJAf27HYfdDuMalF9R0lmdUv6/uXpSiIR1xihFtJazMfjdjvl05HG44PZ7OiLJaLqUcrC+0tnCI/7GdWW4XFhDwPU91hrQCte12JQ49D2NUnilsN7TtC2L1kxas7MWlRJrCFy8xzlHrzT4wBBjbngqnlAPnIeBWSvUGhjXlW63Y69NjqM6XzZFdLe7dpIrrfLwgdpXKpAo53C5bPfD5skUMBS1VYBVwE2GBQjoynMFyGQbovoptYXdy76kcUmarsTrK+qogGXddCUQDBvsijpZd9xLdqoE58t+ZBIWbPAq6m2dN1pPyIINTsdxOxY5VoFTUYRh69yXx4giK/uR2+vc0zpfVu6vH1vfd1u39Se8boD6uXV3B199VfpssiJwDegfp/xGdhmKKpCzUsMSUMOlZKdOMC2E80w8TajjE2laCNNMvIwMHybG9wPhacA/DswXzxxnzlxYWXnPhGdiIfItiYmVI/BLFFNpeZow/ICiAZ6KqxBUCUlK1583v6cUoeVNUODV83xUqfhSNdsEKNn+p1RUWcuvue+fZ4kK2rIdrTQGSde6JsNox3ZlxGErwCnprhKcJWV3KfM7Mkjtq21qMlAq8pXYlZ+/IPtDz+TuefG6yvyt73g+gFU07VM5D7niu3J/Bu88xenPyDanp3I8Rza7AmyA3gAzhrVg+RnNHYoe+JKAY8Rjcfhy7jvQjhgjkRNfYPgJIz7AB8bi1Y105ID2STWs2jBbDY1FG0s3z7TrgokR6yx7Y2mcI7QtOiamrketC1YpAuDaFhtW9gk6pXl9t0c1lvVul4EPiMYypJwBunMWSlk+xUTyIWeX7nMyrF1zd/3sHAuJL5xlvL/Dx8gP00jfNPyo79lbl1VYKXvHiG8alnVlMYaLsxA8jVZ8cTjQlMxQqxS29mZOE0MIueu+lMBdyse1WEdvLdEYUow5YsoYuL9nHS7MIeX4qxjzOU4zTqKoZPJSAUHVtVvOqJS7BXTE6yiqYK0Y1h3+UsqWGCTxcNYwCM9zPOUDu8CswJpUlD41KUo8oNLFL8r35bIdg4TuS1MWbCplXc4XsFzXTaWV4xO1VbYlVgaBWoFT5/5x5qsosTJlq75eL+FU0gbqpidRfGvfqQCrQKpcN7nmEudV70/WrXv/tv7E1w1QP7eenuCHH3KD1Pmc3xAloH+ac5PCMOSAfjHfnwa4nEnzQhhmwnkkDAucLsRhJJ0vxHFmOq2MDytpmFhXzYWIZ+WIwmN5hyLSMvOab1k4ozhj+AdGFi6MLJwwvKOhLZ36GaOkZ1y0PUnglDYbiZMRBVUcj6KUzvzq9evA9Pe/DFzjoFqet3NBBkKB1Ton9AmuQ1wlBKv2nQro1tvWwF+Qm5XkCp7LY+7Lc0cynN6Rw/L3bBArM7o64Ods3lcp3Y9kkBXd+oktr0DmfTkkGSB/oOjZoFQU3KXs+1DOrydUz4vcAV/REs2eOxVZ/FBSXSN3TKQ4EgoIvyHR0TCbljdYWpsHFrT7HcO68OQDdh4YFsVER6dXdkZzMB37pqXpW9yyYk1W4dSuR00Ta7L0wJvWMSjFur9HNQ37rqVtGi4lti2rbAkdIzpE/DSRKNWMtkdbjapVqqahiZF+v+Pd+cyiFZ01/EWfy8jHeeGVsfxo9XShKteWjvrlfCK0DV87x6oUawgs3tN0HXa3uwIp8MyTaFOZIOcchIixjkYrVqUY5pnU93T7fVbxtYIY8DGP1WXJrnHV96imwYvnsSh9yugtyL6GRdiArc7UrIFUoFJ+rr2YArOiKIrCKUugSixOAsFiKRA4E4gUJVPgUOK5pulqWbj6WusYK9mn7EcUWDkeKZXP86YUCzgWu8NVBZXtw1bG7/vt2omHVuBUlNP6GnRdfryU52X/sgROBaxrYBVFVF6T2gJQZ6De1m3d1j9aN0D9TVb9Bl9+lveWlzEhIarrH42oLapNhGAINsH+vvwRgGWIXC4aP0eGp5UlWsJl5enn7zmNA99zASYimu9YeOTEiOfvCMwsjCieiPyAoSOWYCbD88J1nmy06YHyFX51lJP/Fbf/971qR604YOtsAUlX1WS4ExVVArUM29UStJfyveSX5lJ69ny6apuiO2vgf2ADxI4MmT8F/nW5faq2L0MAIhlo35btz2Q11ZOhUjyvTfWzvMqirL4vc6zkfOTVjdU+BF4djoaAIbKUbd4xYMJwhXoD/AT4MS0DKxdyQ8+daVmtQaVIs8wcwoqmIamEV0DrsLZHOcvbmPLHJdcwp4TrOuy8oGJWF2W0Z7Pf0xmTS/hW0SnFXilety27lDCrx6YE6wJzLkcH1xCtQ6usPmmVyi9AgaxlKc1C0DiDXldC2/AwzxzWlWaa0U3DXinu24ZOFcVQlL6uy6KXMfmaWYuLEe7uGKQkXcYWX8GsKt06bWiV5nI6o/qeZAxfvHpNU1RGqzVtDFil4HwmaYMJkegaUtOgrCWmlBuuAIxBWfNc8RSgkxK3AJdApwDTy1xRKeHLfQJI4q2sFcp68hJsympdxpdxoQKaohCKB1RgT5TJOuRebAJ1VqiooC8D98VDK41LApxik5DzH8d/XMIXb6r4TeU4xdpQN1fJvozZplXJfTWc1pOf5Lq9jNgSMJVVe1XL6/qsxF8/7rZu60983QD1c0up3DH78g1D3mTbjtT1VRkt++Hi4olLICyBMKxwPJEuA+l4Yv1wZJg8i47MpyfWjye8Vzx9e+ZpHvmWlRnDDJxY+IBmYc/fcS7NUZFHLpxRODzTNedTIPRTzUb/fSufv+2S/lRpavLV91Lal9K9QJ0mQ6Bma2gSLF+r23ZsHfqGrDjek5uZNLks/z0ZCt+W5zfl+4XNyfsX5Xk/AH9XHmfZslIHMgT/tDzul1BSGraPE7vy/b8u38Omdwt0iyorofx35Xvx4Eqmqy2/C2/Y/LgdCkfCYlAoHAaPZkXTE7B4XgEqzKTQckahd3umEFDGoJzGhYC2lqANioTRoGLCLyvWGEKK+Ls7VqOzpt+2NMZgQ+DeGfplwieN0YYmRuz5gmqzItdax0riohQsnqQ8vbV0zqDE3zeOYG1+jjVlMMYJ5hmrNa+aFpNgso4lpdzQZC2N2lS23O8Yy2e8gG1bUoykGFHOEYeBtCzYvt/Kx/I7uBSI6bo8hnW/pzEGv+bzb1LCNeV9I+TycHJNDs93jgboloUhJdSykJSiOxxo+y7HWIkXU3ye8n1dVhb1rh6bWpevu27rsIfnGawCVkptk55qr6XcXoftt23OChVIFmXVmOcz7ms7gBxXPc9eQE6sBjXE1lBY559KY5cowt5ndVasCiIoTNMWIVW/j0umqyjgdee/bENAvVaoBcBl+/WHAgFNsRLI/fLLVQO/nLus32Fz1G3d1h/DugHq59b9PXz55bObEuRGjGXNZf9hzFmn5wssPjdHnc6oYSQcZ9IwE+eVNM2sl4VptcxrZDlPuVJFy/lx4jx7vmUisrCycMbzCwYWBv6BhYEzMws/MBFKA9Jz7PzUdKY/3iWmhcQ2yyo39GxXQjRledxT+bkrPwe4zqOXjAMJtBclUTrkd2wNSgKvUtqnPPdAhsN7crk/lee8K/8ey22vq8ftyT7TyPM2sz1ZgZWIqlfleHbA1+XxQ/V4sQAM5OaqH5d918rshc0XK+f5GkdPzOM7y0CAC56AQeM4YUiq5U6DNQZtNE4r2r7NCnJK2GVlNY4pemJSRNPguwbfOBalGV2GjiUmvNaoEFB+odeOg0rYac0+zlJSlVn3hEByDdoHdk2HWxdCY8uI2oQtgKViAAVqHmE4b+VrazMEep+h0RiavsOnfC7NsmCtzWVzANtu0KY1zeVC5z2DUhs0Okcjap/3+QNqTFtecoEoqxS2KIMqSINSPr/Udpv/sOzLQoZaawkpZoC3Nr9Jy3ZFIa4D5sXbKOqkqIsCbn2/hdBLybru8q/hS0C2Lk/XXkvvN7W0Pi5RY0UxnedNMRVQlf3WYFr7MeE5oEojF2yWAElRkUYxyNuSVAN5nqjBoqAKFMs+Xpb0ayh+qbzKPur80roxTOC+Duavfafw/HUT8Lypp7d1W7923QD1c+vDB/jmm2zmH0fUumQQPZ/hMuQO/qJmxGFGBZ/V03FheRwIpyHD6TgRzwPrw8j4bmQ5zsyDZ2Rm4sjEyvdcGBkIzHwk8C2OC5qfs+IxjGjeXxuVpBgLWQeTAvWf1pLmJgFTUUil/C4NRxLnb9iC9CXHYMcWqD+xTVrakSFR/klk1E/IQLmQAXMHpSt+yy9YyK/SjvzqfF/29SM2ZXQB/mU5jgc2H+we+Lfl/ASEZfyBlPWlgeqezaoQyODryrZPZKj9GniN5UTgexQN8QruOe9Vo3G5Mcs61hSJWnGwElHkeIdnxuQO/eiZlWIlMTQ9Xdfi2o5dSsSm4RI8KiV+CIHkV7RW3BnLaV0hBr5uG9yhI9qGIQac0uxeFSgtkJDIkUpYg1pXdNfStC3NVPktvUedTyVeyW0w5H2ueqQEXdVYFHJJ3ZbIItU4OOyfg51AVVnWOQ5Nk5XQecaGQFOSA5K1m4oqgCXgmFIei2p03kfb5sOuG43k8VKethZnDa72N4q6V8L3n4GRqHgvR47WqpwokNI0JEpfXXau/ZbSrS8QKY+TJiEBRPEDi3pYjxaVEPzdbvOI1sH+cnxyPHKcdSOTlNwlQUAarOQ6iEI5z9t1kAlQUnJv2w3K5fwEliVRQM5fjkssAAKXUo6vQbNuZqo/KLz0nQrcCpjKoATZxk09/ZNZf/lXf/1Pfs4fXDTVf4N1A9TPLXmjkU/ApREihfj8TUgeHhMpJuIa8mjTlLehYmBdEufJMtkDy5s3jDvL4jWnx5WPWCZWRhRHFN+SGPD8Zy4EToyceWBkCymS4vXKr29q+uNdhq3DXrBdZtAfeZ7uKmMGYFOdFRkAQ9mWJZe9TXWfxE7dkeGvI1/tj2Sf6BdkSLTltplcql/IcNizlezfsMU+LWyTnkR5/fOy7wNZBe3IkHkgK5+SrSoALqV7X/YtMP663CdZqdmD6q/jWvcoGgw7Iku5isZZ9GFHOl8IxqCDRxU/dbfM7PqWCzl/dFSao1Z4BS4mIonX88CPlOFgDC0wTjOt0QzW8rZxtE3DsMLHZFisxSZQy4J2luBXwhiZY2IdJmzX0Wqwy5rhc11h2jyPyuW3LdW1sMQrNKWuB6XBVd3WNWwVwFMk0HaLHpLStUBBrSiq3KFvC/jliXEltm2anpfECxypAqSklFMB1jUP+ZDt73Zb+ToW5ToGWCOc580TKVDZNM/zM0V5FJVUAFDOV3yR9ePr3OZ6dGj9HhbCpogKrAkUy7QpKeHLPvq+JJlctufUIf/1xKe6YUtArm70kmMTu8BLIO77DXRlBKrAaw17n4qPeqma1rfLdRM4rSOh5H1f/sl51MkAL+O35O+FXFe5fnVp/6WKKusGprd1W9d1A9TPLXnzLG9CObCf/McqbV9j0qi7A9G1hKjxqiEukZRg8jChOT5MzOdEGgLTu4n1vHL8+ydO8cTTMTFz5IGBb7iwsPJzFgZGAhceuZCxa2ArBP9pLmmIovqqyGD2mgyJ53Jf4nnbV2LLK5AmJAHdt2zjTGc2BVTSYVe2sHz5eDAAf1+2dSzbGNj8r3P1vF05vm/LY2FTXVPZ90+r492TobY+FjnGPVvTVyi3vy/7kUipxDZm9YDC0qKJxOIr3WExJHoiWiXU5ZwnEWkYFMS2xTUWawx9SHQp0WjNvCx4o/na5HTU6AMfQ2C3a/gqRZy17O4OtCF38PcqA5U1Fi4X1tWj+i5HenlPVJrjtDB5j9YKLie8c/nDxj6P61QuA6VyxaxRSrjJSENK+fAoKlXdnKM1ap7Ar9uHA62xKdEU4FlSwseILWqprQArzctzwBRPpJRm2zbDcgGXtHpYfZ5gNc/4psl2gr7PTVFlu2oat+amdd1gEJ53hYtKWTf6wPa+JOcp5XG5T4BIYL2OipLrVN8v+z0ctvL6NG1gV3f9i99zGDZIrJXBuvlKQE+UyRrsRO0UdVSUT5kKJZ5VgXVJAJB9yvZk+wLtNWSKajrP2/Wur4Uoz2JT+FR5Xl53+XDwEk4F+F8+B557dmV/nwrkv63buq1n6waon1vyhn1/v3msYsyes5C9U0opuEykZSE8XYhrJJ4m4vtH1mHk9PGR908j53ePHH84oy4R8wTzh8jl+zOPxydGLnxg4TseWAj8l5KEGok8cSIXgQM3ON28oQKWxdl39aJ6MphJpqkiK5GiJoo/VdTR2rtqynPEQDGwlevv2OwCUh4/l8cey/0lgvyaAjCUbYtyKlmlKxkqRamF50ArEVSODKNzefwXbAqvNIO15XaZUCX3vSlXywITiZkJhWXBM6ocON81jrbfZQBUitUZzvPEcZ35OI241dBrwxda81opnLOcWoebFpSzJG3QCnRMzGFF71qUzTPirfeEJZC0QTUNzq+0RNaYOB/PJK3olEY5y+IXDk2LspakGoZxpOl7XPDZH6qALoNZ8iH7vrsuK49dt/kR627sed7K/9biQ+A8TUw6R1ElpXKzk9b4EAgxMg8D9nTi1f7AzpjsIRUgE7Do+ytsKVX2GfJ55rnxHV4pzjEwYbcJUyFwSAnn7BY8L6DU9xs0wgZvlZf2mTIJGzCJCihgJs1UAnv1yE1R9gTmZR/lg8C1Kx6246lhTOKdBBzlWAX6PjWStPbFyvbqEr3AoGxvWTbPqkC2WAfErlC/LqUx7VkTlECklP3FulF7RGHbh4ByDacv1c76Q0MNuAKntRItx1C/TvX1rq+brPp1va3buq0boH5uJaW3jtkpB/OnZc23hZi9pdMC5zPx6UQ6jywfB+LTCTUMDB9OPH18YPwwMzwtjB8ufGQisdLieSCwMPE9Mz9nYmLg53ge2UrAt7Ut0SVE6bRk+DPkpqAdGQCfymN3bMAp2aYa8V5yLXs7slfzLblcfmQL55cSfyR34ku3vCTKjuV4eqSEnoFSRhuIF/SebSDsT8j5qW/K8ynncCr3f8nmke3Kud1BmRzVEkjMWEZCGXJr0UTuUXgUdzh63aGMYWw0U+NQTUNMKaumxnKvctB/0+SSqA+Bj/PMRxS961i7FqPBWEvbdFgUSWu6dckz59uONM9MOnEh8to2+KbBhIhq2xyiv8yMJTc4Gssbq2n6HpUirnE0y8JgDCo0uVPdWrRWmK4hao0SZa5psq1G4EQAS0BPYKrrsrdUFDgp2SrF0rZMux270qSVvOfDOJKahtdac3YNPiXO3uOVImrN4XDIeaeyQsj8UKAkNS28shuwFKVxWRamy8wO8ojUGBiWSLvf4yRIvvZxiuorDTd1d33dSFOPzhQFte60rwPtBa7q0n7t1xTFVjyZAk7SvS6TmJblOQjKcciqm73kuOrjl2OR59Td7fJYAeOUnpfyBYhFMa0jsEQdldxVORZr87GLFaBujvqUaioKbuVtvsKpLHmcqLQ17NZqa62g1n7Tl3Aqr2Ht872t27qtZ+sGqJ9b43gtK6VxylOkpjmrONOUp0hdRjidiKeR+d2JdBmJT2fCaWB8OHH6OHI5LvgPIzMzRy7MzEXhW/mA4Rt6Bjq+4RUPJC5XLU+mMokLUZQJaYP541yiAn7qdgPX4a2J57mgT2xZo9KhL9mosMGs/JPxozu2CVE9m2dVfJ6RrJZ+Ub6KonlXfn5kmyb1SIbcu/JVrAayvbdkGIbnE6ko+/qSDahlipRAdCSxMnFGc2bhSMdHWgwdh76hVYovk2ZvDHcuMa6BYEGFGbVCo8CmxGujuKvyOxOKJSUuzrJ3lp1RJG04Bs86rxynFWMMbdtwMIa3JD6MJ6ZlZfSBO6WIduXsV+6sxTqHNZYdGus6vPc4o2mtwRKh7551uzONKKtRRKJSJGsxXc4PzepZ+X9wuTyPUyo5msoUUFuXDUTq5pcQ8JcLSqkMjMagVIZ5lpWlaZidY9e26JRwxjDFSBMCVnyizkHfZVtBrYgJXIlPdF3xy5KVZYFb06HmGV83zsh5CGCJz/KlR7E+37pEL2qp5I8KFIn6J6Al6uVut4GRKKz1GFOxCIgPVJqIpCmp9rbWE5Tk+7phSL7WE55qiKuD8odhe44cv0CxwKZcC1F/RcUWuK0nar0s5wv0CwjKdaj9op8q6Qu8ywQpaz+tnL6EUwF2gdM6Uqp+bWs4vamnt3Vb/2jdAPVzS95QVJl5XVZKGYiiym/4MkQmpXxb6PbMak8y95zsxHQXmd9EHk4r8dEzT4lIxy8x/MCBCfiGJ95xYWVi85oeyRqbJ2PRkU1H/ONcEn5fe0flyktclPwcyECa2GKdYPNvyv0jGUKloUnK9NIU1Zfnv2drPYOsfMrHhEB+VQQ4H8rXhuwtlclOZzZ41WyB/DIZ6jU57P/Cc39pxwbGovIqclOToiPQgrGMITIohU2BpOAuZYVwN62oFkbn2KsIKygSBwzOOmKJZ/Ja51GatkEXeFApEfxKEwMrmqgUMQQuIbAYzV5FLiiid+y14UcpvwofYuLHfc+dSrTWcVlWnLbsQoLocdbQkMAVyBnHDBLnM6prUfueTil86xhKpSIl6FZPE9OmUMHW0V7gQpXoKrTZQEDgRuBAVDqlsMaQ1pWoNKppiVpjrCWFyBpjTuhomjwc2FoUiXDYo3Y7UpTfLPV89rvss0Cm0gp2PY7EmPI0KaXUFbqtQI4AqQBs7e8UcJFzFxium3nkNlGKYTt3AUApcYuKKkqq5KBKkxJsZXTxlNa5qi+9onK8dRi+gHZtTahV7jrIPoSt+16gUh4r+5CJVC89rdK4JcApt9/dbR8UBExflvNFMRUIr5VLUZfl90hgUmwEtWcWNsX2U3AqsFurpPXv8ctYKVk3OL2t23q2boD6myx5o+p70m6f34OcK3+0st8ujQvz00L0kTh7/GUlPZ5Z/u4BfvnA0/fvuHx/5LxMDMCZgTOO7xk5ceYbPO+5kDWzia3VZyKjzJk/9pxTTYY0xRZCL3FR4v2EralI9GQJ2OrYlMdd9f378tjXZEB05Ksrz5EIKck0PbGV6CXSSXJDd+SS/7ds+an35Tmy/3pS1b4c30iGXU+G3Knc17L5YCMKi+EDBodlR+KAJUfUNyQSMQxcsEwpP35OgR2BlCKpc4zk+KfeWJQIiCT2KaH8ik+KxIxxLXoeUWNW4dI8Y0iYovxNTcsYPWcSfxYtr/c7dIJhWXC9Y5cSb62hD4ouAahcgteGsC4ov+bJR9FssNE0qLbJDUttCYw/HjHWsTcGpzTeaOw8ZY/vMDyHkbbN0U1tu4FP7eWsm1cEPowh2dw447SmnUaG1aPGkWQtIwGeWwAAIABJREFUd85B6zimxADExtFrjXVNjiXzgXQpGZtSVhZwK407SsL3zeb9bNqWbl0ZQsi+WqBrGpr7++clezn2WlkVgJKwfOlAFxVPlNo6KklAUcBUOt/rUaSi/EnTEDzv2q9L5QJ49SdvAee6OaiOuJJjE0VSniNwVh+vdMzDc9+wvN5yTQRA61J+naUqiQjiUZVlqg8tYg+QMr2ckyi7AtOwHbt8uJFjkdvEViHXFH41nMo1qL2mnyrt38D0tm7rk+sGqJ9bX30FP/tZfiM7HuGU80/5+BEen2CciccLYVjgNBOPA+E0sj5OjD+cWD+stN8+0Xz3ge/DwCMjM56PeD4y8D2ed0QemNnK9n86maZ1KV8mOAl4huqfZJhSvk9kWGzYAvYFHs9sJXNpqHrN1mDlyaB6z9YJv1SPo2xf8kzFPiBWAPGvivp5Kvd9SQZPx9Z0Jd3+b6vtvUZh2KOJfIWhJzBjyzYjA4pHFK1qcCngjCOFQGwcF7tn1pHRJtYQOanEkhR7rdAkFqW4V4m9SihteQwrLoEyGqM1BE+fEh2pZHNu4NF2La+i57wsYAznZeEL53jrHLb8wTVdgzeWZCz6ciG4hhQTeteTnEVZi2sa1LLgQ2DRmhADbp1pnMHqDBUpkTvj7YtmGoD7V/lrsR+oIOpfeh4kX3esiwLZ99mvuqwboJUYImsth+KN9YC1lkZrlFa0KWGPJ0KMqATrutIBjUCRAGCBjauloG7+kXK0MVjvOdj8mvqU8r4kHaDuyBd4EcgRJVJyP19mlopya+3zbFLYYF22Iw1AdTZnDa1yzeS85Ll1UL+Afx1EX0OpMVuYvsBg3UwqdgG5TuK9FfVTgLBuiBIg3u+36y7bFvW3zjOtc2PlXOT3WqwA8DzXtC7tv/wnEFy/5nK+ApN17KCc+6+CU3l9auX0Vtq/rdv67LoB6ufW3/5t7tD9+JBjYS4DaZxhHFkuI/PpzHy+sHyYsMNMuixc3g2kceLy7cj5h5nABZhoOTIz8Usm3uN5ZOZ7Jo5/5CX7X7UETg25HF4H3osvU0rrsiRWSZfnC4BatrJ4YhvhKWqq3C/l9J+SYfRYbpOyvWgwhqxu3pf9KLampfdluwK54okdeA6v0lrzk3J+CxL6b+lK6b0jEvF4HDOKo7KsWjGEwKQia2t4syRedy3BKoIK3C0ra4KLD4wpcgRWo2h9zFOyrGUxgdBEfEgoDVppmhjpmhYXE0apkgeq0I0lxYQJK9paXL+7RnBNIdDHQFKK6BqC1pjdDkWi1YpdijnLNXjSuuQpSykRNQwpMJ3PqJQYtaZNcCiRS1fFzhg8cJ5npnXNHe9dR28NhznmkriUvuWPvcCZKHYFuJI2oHRO11Aqp28ILBRV0jqHXZasxKZIuoygFHdAby2LMRkotc5AKeXuZckMYaumpRpYavC0FtoWq/V1KMAVCOWYBZTkttpfKuBVl+x3uw3wpJu+VkEF4ERBhg2YapVVgFPOQZTNWiWV59Yqr5Tva8uBlO7l8fJciYOq/Z/iHS2eYSDDY61G1j5SUYLrEnrTPB9PKnYDObd64EDfb9ejLufXAFy/BrCpprX14WVJv25+qqOk6oaoXwennwLRG5ze1m19ct0A9XOrevNIqOv735oS52XhMkyEMbCEFTWtNEskJsXpCPOqmYFHFAMN3/KWH1B8QPE9mh/omXBs4UQXNn+pr76OZF1QSv5SoB74Q1ZaFRkC61zPwKYfJzI8jmSAlKlKii3g/jVZmRTPqlgC3pT776rnv66249g6/zV5DOmZDKxn8qvwmtwUNZbbxdMayz4k9smT/agt8C/YzBkG+FfVvhIWRQesvELT5qI9YDmxsKA4J5hC5IGFPsJpUnyB4mcTdCQMuSPaBc1PreEQ85XU2tJqnzNIFcwaugSBSIPlNM04lffpnEURST6gSKTzCfoe37X5A4HVuBBpmhajclySSgmWmd5ouiHPpXckDstC4z0hxew3dQbrFwbvGaeZ3X6PUopkTI6OijE3RcE11H1ZVyat2TcOpXV+bIw5N/RlA1BVMk0+5FD+rgKdunFHyrfle9W4bEMoftBn5fN1zUAp8Ff8ksrkDnzMBtTP1NsagGvfpaiMUo4XKHoZIA8bhApwFcB9Br3yXAE/uX6wqZ+iHErnuvhV5VgFhOvSdA3bNXDXHwbkmsibnxyPfGiQ+8T7KUALz4P3RSkVtVRu7/vnTU+1Eiuw2Pf55/N5aw4TBbiGTAFTeJ5OIGV9gfb6A4FcA1GKP5WUUKvcof7IzPb7+ZvA6a20f1u39RuvG6B+bn3KOwSMUTHe3dG/+YpptaQlclwjw9LRtAdO3468fwi8e0hcTobvv/N89w8/8IvTwPfAIwvTdbglbLOAZJr6wNbaI4AqzVIBnvWz/+EtzRYoL/mfcmYCobD5OD3PR3yKWip5pCObSvqGDJ6vy3a+KbcbtlJ9Q1YISzEZQ84QvZT7DPAXbOqtRE1JrJUcl0xyuicDa1ZwFX9GuqYCNMAH4Fg+bPyYwB0zHnAZFa++W2mFyzmpDY7EgOY98GMi6Nx5blF0SqFU4qAUmohTuRz+zlmmy8TqHCFFYCYaxVPX0hidVUwpHzuL2u0IMXCaF6YYM1BaS+cs/bJmL2/w+Xo7lyEOUDHQpECzz6pWHi8KaZxYlwVFQpXpQ6o0C3kBjvLHPJA4tQ0X79FNQ1OamZT3eAGBAiLJNRsICDjUjTi1Ggi5FG9NVlbblqQ1OP0c0MSHKCDmPaqtGnQE0uB5nqc07sBzla4GZNmmlIK1zmqmKImV2npVDQVgBJjG8XmEkgB7DXGiSsq1FcWyBjDpbK+bmGqlVW6voTPGbbv1BwA5dgFTua+eTiX+YNigVLy1MiWq67bjrT2vss2XMVfy2tc+Y3lePU1Krrdcw9pnWqvAsDWr1dFeL60jcr3ld6ber/xcWzFqOK1fg0/B6Q1Sb+u2fuW6Aern1s9+Rvqf/w3w4n3qm18Sn874JREfLoTTwvTujFsiD99O/PD9iccPAx//fuTxh4V/+HDmv3DkF4x8RLFedTlJOh3JaCJF7lC+/4EtEfWPJxU1suF3YlNNDRtMWvKZS8y4lOIXMhi+YtOPpQwvQChXrCn/Ihn6duV5Kxk6FVvpvyOX4zvyx4ETm9VgR/aYXsiAKsH9ArCvgI5cNn9FujZ1ncpzAgLZ+RkLbQFczUTgFYkdAusqx15pS2s0rCMTlhXDvbM8OMu4rCiV6LXCpexHbbodjbV4q3lqcsf4rA0HBVNMuWQPtMHjdIbQtGbImpaZKcFeK5RSYDVD8HRasdc6z5MHtFGbfxBYEywxZWg2hkbrPBp0vyelRNIapTXRORIp+1MBrMWva/7YVSwAGYodO2tJWmO7boNSgUFpiIHn8CCK567P2cVFOU01qNXldNlW2+ZmLvFWihoKW8lXZszLfQJ88rN0ywu41fFTotxJZ72AV92lL0BWeyTrsnPtcZXrIIAoObGiWtbAUyt7L9XJunQtKrNs96XnVGD8pRos5fZaWZXjEyWzjoGSrn25T+wGsn0BTTnPcdygEjabQW1RqHNx4Xn3vICpXIe6WUmue0rPP4zIfaKGitr6sqQv+5LH1lFbtXL6cn/yff31tm7rtj65boD6ufXLX2Zf27rCNMPTEcYR/f6R+PGJ+RQIk2e+LIzfj6wjPHy/cvzhidM3KyMz37Hy//KRX3DhI5GMVU9kdBnI6LKWn/9wS/a/zVJkgJTSOWxKqKijLVtHvtwPG9yOZTtfkPNFPTmLVLMpnycydNpyX0fWrBsybH5gsxt05JL/XPYpnfk7tvAvyS+dyWrtW8CT0CgCmpVYYDpxKvv5kpbX5FJ/h+IVHodBKY1XcLCWuMwcicwEfFT0MWC6PVhD17XcpwzvrutYUSStWFOit4ZegTWG+xDw/Y7vhwuz8kwx0mpNMAa0YTSWpBR+WXJZ3hhC4zApoo3JJe2YUCkRjULf7a9gk32e+Q+xT4lzLB7UUsbvnONg8ja7eWZICd13pBDodzsaASVgSYlpXXllLXaamFLiYfUsOvI2gVvW7CetS7OivImKKfBTYCfVCiFsECc+1vJPabUpZLWC97LRSPYr5fS6CaeeLiVleglzF/Cpo5UEMmv1UXI2aygS2BR19CWkvRyLCs9hry6xy3br6/Kysellw5YAowCzbKfeRu2jFUVU6+yVlecL0Ekzl1wLeZ6clzQ9ibpax4TJ61YrtS+vq/wTMHyW+VeBY610iuJbWxteNooJQH4quL8O3pfrVwPpDU5v67b+q9cNUP+JS6ncfNw6i9WOp3nET57j0eO0xc+J8zBzOsGRxP/Hys9Z+AUzH686oRRzE1mPk/lCBzYtcc9zRyZwbSuSl+1CxrM/zCYrUUQtm5IpMKihzJDfOu0j27gCaWASO4DcJkkAopaKjeBCLvnXo0P/tjz2LVwhUqwGX5CvvHyc+Ek5ZnnlFjLofsnmeY3AHYlU2uI02zSp7BieeQscmDngcie9NvRE5phYlkTbtLwlMsbApDVJ5w79uxjp1oiOkbsQ2FmDj36bKU+GU58Sk4KkFSYkTtHjtcEBF6VZw0oKKysKrWGaAt3dfb7eqTRNtXnilFIKo01WJFPMV7ry/S0xMinFLgTUfp/PMQRao9k1jruupdV5jKiNMZfvY4TTKQPuuoIP2LZlHwKugMVOaw6v77OVQKmtNC2d4VJCrpUzaWaS72V2ewEHleIGfQIhtWIJ/1hhkwYnWRLJJLAi0FN3e0upuS4v1/AJz0GyBu2X/+rpRaLqyvamaQMssQbIfuT4BeKkkUy2WXs764722mcq8F3nfb4Ec8kHlalNAp3W5lxSeX593ldrSYnEkoipcdxeO9iOTc5LrBCiVtal+7oBq+7Ol+sg/2TVQwTkMbV/VFb92sux1L9vtZL+Ek5l3Tynt/Vbrr/8q78G4D/9h3/3ez6S39+6AernVnlT2f6OlZ+joVEdvfMcTyNd2zGkjlOjeDoE3v3/7b17rCVbftf3+a21qmq/zqtPP++dGc/YEM9gG0FIQkiUWAaDsIXwUwg7TgxKAsKJAaEosQQKhphgOcrDOCHIwdiRDCaxsMM/4DCxxoiY0cTYzIw9jO25tmfunblze+7t269zzn5V1cofq36nfqfuPt19u/v2OWd6faTqvXc9Vq1atfvUd/9ea3/Oy3dXvMx9XmLKbY7gLTO93ydJKZ2d/XMkt78WVdL3KsHW9HbEOHi9GHj6OqZ6JVriSeuR2vezbp9IH+8Jb02E8sA1eoG6372O6EMJ7tGHExQkK+kEeE+3/l636EQBl+nLSEE/HeqSJHj1eqCfolSz+vWnhXTrU5KUY44wdhUOT9u2iPM4HLtxzSouaFdzpni2aLkJNAhHXbtwwHI8oRbB1y1VU6dKAaMR0tS00bMS4aBtCeuaMkYmIsQiiS2H0HjH0jl2yxJxQmwji9gwiZFJVXGEpEAF51JGvgoOa/3qhFwtgqxWSFkmDQA4InXn5g0i/R8Y74nzRRLB3kMo8KNAXC6JIoQQcCFZdrdDIGhcqLVUQS/WVODZbGsVA93/WXGSZpZq/cnQAEWFpApfa42DJAKHNTB1DNRdrYJpGINqE3lUiGo7OoYqCuGku99ei4q6YRa7Tc7S9tQ6q9cCvXDTGFdtC1JRfjjpttc27PzyNv5S24GTZaLUdW/jUe12HecQemvzvXsnQx30B4bemxjfGluqP1Z0jNUyrUlmNpxDr02xEwnofbJxpsO6pnpO3Vct9RqOoeexP2weJSEqC9VM5pHIAvUhxOs34AMf4DitHIg11AuIR1CswN+BxSEcvtHy+qfuc+8zb/Dar7/Gb9z7TT75xm3uMyfNHeRIjuY1SX5VJOfyXZLEsTVQ1/TWUbWa6vsFfTTmxRGomqTU0AtOjTfVmqY2CWoCvECfJV+SxKhOcwrJKlrRZ94vu89XSaP6Bfri/5Nun+tdG213HrVlayiBxpzum2P1P8pWt+x159wy2w5wRAomNEyINLRUXZ7+HaAglYFy7RGBIkUa12sKUrLUpMvQd7Fhh5YRsCAQgIXzvFYWbMVIUdfEEFghzMqSoqqIYYo0yeo6J+JiZNk0SKtTdcLOeETbNviywHdZ0dEnQRKLgqlzFM5Rt22KJ62qEwLTihWJLUXTMheSdXVZ03pP7Eo54X2KH7XJQM6IzaZJJbGAo7pOxey9p3KeYjyGquxFi4o77YeN0/T+OPFIik48aG1VK2BVJNqSQ1aQWvexinIVIeNxelUBZEWkihorGFX4WMFoF5vEZK142r6KX1tiS8dNBZ1tG3rxZqsMDF3gh4f9datlVeuSans6VnrfRqO+fWthrapkJVVRabP9rUDX+E5NdNLZwHR/vS5rkbaTMwzFoPZfx8m63u0YWQuqjsXQyqn7qsjVa7YxtUPxbq9t6Ma3llMdM92mZHGayTwyWaA+jJs30wPqKNVAbQ4X1Icr1rcX1HeWHL6xZH17yfz1FYubKw4+XfPpl+e8xC0+w5L7vMlJZ/GK3iq6JAnUN7v3K/rIx5aL6ro/DXXhQ7oytZZqYpMmMqmbf5dekM7pa6UKydKp4lbrkeo0pJe64w/oXfOXgc/A8RSnV0mJTVoOqqJPqBp351ghzCj411jhcdwC7tOyTZ/GpqEHa4TreCa0jBG2qbkP3KPowgqEGQ0zYLccsY4wD0WyYjYtoWkoRfCF46gsWIpjDYy9p/Ceum15PUJVFOlZ2KRpSKvZjHJU9ZactmG5WnJJHC4E2qZh7YWtqmJSFByt10goaENIyUsk137wntC2SVzqA1mFg0h6rsbuc5eYUrYto9WKI0hTpyKMioKiS3hKN70TAXaO9u4cwXumPlBKusfBuVQlwFq31MWvAsAIGvGdYKnKk1ZVFaEqAm1Gt00WsuLHJttYt7/dV8WcTUiyxygaVwonrYDWfa7bTUzu8fVaAWsE/bFrXsWbTRKCPvYS+nAE7YMV9CqkbBa/tqv3yQp3vW8qHK2oXK9PWg21uL5OKGAT2uBkPVUVfdD/CLDWZR1Tez/sddrviWK/JyogrXC0lmqb9GSz8+2rjrP9rtjr18/2/LavOeY0k3lsskB9BGIbU/3EtqVdNzSrhtW8oV61LJfJU3bnDrzyCnz+c5HfYsWrBG4e56Wv6O10LX0Vz/sk25pOrLngopaN2oRaRlWO67pUionjjH0VpToDk0bmNiQrqCYoSXfMdrdomSlHCgVQwbhLcsGrxXafXnTegS4ONO2rNUvvkUIE3tcd/zowI3KZFZ40w5MK4zv0NVX3utd9IlusKfHdtKoFgTUz1ikrX0qqcppKQjnHoXNMBULhWC+WfEEcZQhMJXJ/XfNacHjn2Q4F8/WKO87RSOQukZ0YiVVJ64RV4Zn57oFeNzjnmFQlq7aljQ0SG9p15EAc7bpOYxjh3nKZpmMVYRQCpVrduhhB8caqZTPWY4T5nIjgy5KpOAon1C4VtS9Ho+NZp44Ly3cP/BiBtk2u985SWRAptLC+nkvFpAoy79PzvQi9wIsRauktkkPXOPRCw8ZwDoWJTfrR+EjtgxW9VmjYup46NqZ26nF8pk3cMWL/2Cppz699tuWgrEgMIYk/DVVQAbdc9qWrrEXQJv7o+fW9XqcNV7DjrgJ8PO5jYHVchslH43FvVWzb3kJqxaN1qWv7Ksyt9VZFuZ0ZyoY42AQnfa/n0rG0FlMrNu05dL21nOq59NWOoe3bJqupDQPI4jSTeWpkgfoIRI07RWhxLFdCXadcj3v34M1b8LnPJZH6qabhFRp+i0N6Z7TOI1SThvwySai+RpJIeySZdo++KJG68Oneq7NZ12lE5oJkX9T91In+bHH0c9xDLySTm/pkuSg7Tai6+zUyd0q6Gh2FGSk4QmNXpyQhqfPZL0mW0Fm3LLpz+m4fFbw6s9T7utd73Tm/vDvmJhxPHCCkmab2SXflyGzbNn3f7drawVMQWRO5h3ThBJF9GbETG1YusG4jhfeMC8chKebSAzhhVUaWbZqedFyOWTuhWS+JbY2sUhxk09TM25bt4JmUJQ2R222kjRFHC5Iy2Md1zbipCUVJE1vG4rjf1vjVCgmBcjQixojrLLOjEChFkKZmvlykb2hZUoZUpooYU+a+FRXGqha872uqGstU1MJf80V6PosgRdG734dxjVZgrdcpqUktkbaeqBWX6qK2Frdh3KceY8tUqYBUVzX0ItYm3KjL3IpzW65IRaS1zFpRpn22wsZaNvX6od9H41qHYQhaV3QoRIehAnByznrdDr2w1/HU804mJwW5tQjaeE9NbrJ914kDbNyqFYg2htjG89qEKStIbbKTbodeUA8ToPReD39MDC2ftlyUWkbtZ/tDzIaR2HtjheZwjOz+2aWfyTwVskB9FEKA7W2a2S7NrGa+F7i9u+CNvcjBe0refL3k/nsDv/rxmn/1y3M+9eaCJD7vkiRNQbLTfYwkl0bAy6RJMws4zs5v6cVppBek+jnQl3LXKp3mj/szDgmY0gcqaFrXltmuKWHDLP3WvA+kEdCeN/T1DFSUOlLc6F2SmDwgjaqGBIRu31nXl316AXmn23aXJFavm/3vdvtdIVlVm66f2+b63uzOp9f6ZV0fdunDAZbAPVdyD+G+CHealmtFwZ4TKhcpkeN4QMGlaOLFklbAecdaBOcdZUiWSxdb9rzHhQJiS0Gk8mnqzcZ7lqT6nuOmxROJ3h1buUoRZkXBAghtS4wtu0VJK8K29+mb5j1zJ4xDYBICtQgHZcGiKKBuUrmosmSmMaj64LdiSmMSmyZl+dd9XJ6UATmO5aN3gw9dzkYUiQpXFTWRtwoMFUEaK6qllmy7KshUyKplWAVMCL1b2gos/WxjQYcuZBWptizU0EKq4tfGuto6qiryulm0Toihuu7DGWxpLegTjvRatC2tv2otnG3bu9j1B4WOmb5qP6yY0/G3Lm69R7Z0k16XvXZrZbWCTn8A6FjCydhZe++GSVUqdK2737rXbciH3nM9tx6jP0SsQNV+DEWr3l9rBR1a0Ifu/NOspsP3mUzmbZMF6sO4fBmuXiUezYlHK47WDXe+cIubnzvk3us1Nz+34vXPe37jkyX/6qX7fIo7JKnzOim+dE2SWHPg0/TF9u+TRKxOV9rA8bEqSK3gHGQgAyfF6bNH//yO6b9IBX3PXbdN943dOt1vq9u+RS9yk/UxCcLLJBGo9Q9UvEaSaCxJYvLFrt2GvqKsow8vULGqglfP79DC+44KR6RkyxesvWOFcCiRo7ohNg3OC9veMasCeGEWha3Oy3zXCXXbsh1KRFrWUbhXFGyFQOk9a3GsvGe5WtKGkMr4x8iBd6kGrEBV15RdJrsHqrblUpVmflrHFt+57/eApk31SpsYGekUkZ0gCN4zi5HSpznuQydWaye4Ls5PIM3UFALRB5arFfMYmXRxqbGuOQLKsiTotJSQrKmRE1ZP8akQ/7FAsO5jK6SUGBE6699odFI8qNiAk3GY1mqooseWQVJRMkxKstnYKtTg5P5wUoxpSIAVSbqPilUVNSp+htbUoQC0gtnGuKq7XsWxCqWm6WMy9fyz2cl4Vyt+tB82zlfPb++DCjDtv47XJhE+LK9lp2e1iWDDigL2PMO43GFspwpIKzhV0NpEJBuuYMdUr8Peext+MBxrm1Bm+2ZnwNL7ucliasW7vQ79fihZmGYyT4UsUB9Ce/sO8dabsFyyurvm8OY97nz2DvWtwOHrkdu/teTTv3bAJ14OfIIjejvfm92ixY0OSRZTFZVHZnH0BfvhLFz0D0LttkpJEjkq8jSwQLPgfbeM6QWqutmLbp8jksVTpx3V47T9KyRRqSllJfAukmgVkrzfore06si7rr9ajH/c7VOTRC30PxdGaFmqSEvNDpHQ1MwbzxioRhWTIBwEn66g8CzbSNFGRkWAIlATWTY1W0RGbU2MkdsR5rGljpHae45iw0HTMieyaNaM2pYyRqrWUVYVkxBYCdTO0UqkFceuD8eu8eAC10ZjCIFaICBEEWady/7YitgJmMIJhUm4kbbl7nxBywIRofU+ZfMj4AN1jMdTkbJepx8e4liva2JoknXUeySk5dhN7zvRqIXah67S5bLLrDduU5Hul4qJNRy6z+GktdROAarxiCpCbZKOxtBad6/NZte2p9PemmgTdeDkOWxJJhXIKvxCOFkWSTPvrdCcz3sXtooZjVXV/W27mkA07IeNTx0Kcnuden7rTrdYd7ZacK1LXO+ljRm14RVWyOo5hus1NMImLtlSULqP/hixY2Z/DAyrF+g5bEyp7qtW7+E5TMjJCeuttbJaC6gND1Hsjyv7PchW00zmHScL1EdBhKYVlks4OGg4OBDmC+HWrcitW8Kvvuz4KA29y10rZzakAkmaoa/RlWv6mFR1hKt9ceimV9vjUCYOUUf50xW3VdcnrS+qsy01pKsY04vC4viYtG5KEpUNfcEs+4XTWFEdtRl9Yf1R97rdrd8hRepCH5E7IYlY6Y7f6vowp59J6mp3zJJeADscI3z3GtnGERC2idROOGwjuyEgdZ2CM9qW6IQyRBpSMX7Xtozqmto7fGxpBSAi3iNtizgoy0AdG5beUwisQmCfVDJqHALiXXKzFwW1c6w6q+ass5C2riv51FlicS59a9qWIJKmFV2tUtJRUUDbEDsLKNIJuNBQrNeMnOMoxmQhBUahoOxiFX3d0DYtbd0gIdCGAPWagoisuqhi52BtRIlNPIKU/CQkMarfWRWytiyQtUoOraU2/nNTDKha24qitzBa165z/fztVpiqi137YeNAve/rndo4W+jFnIogazlbLE7GgtqEJhtmUFUn29SkIrXoDZOzbCiCijS9Tv1sx00/Wzd106SxU5Fq40YVGzKg7dtFr13FpdaKtbG1D7OK2h8dNhzCCkLtn42NtRZTxbrZu+/bW14FJYZ8AAAgAElEQVSthXPYN73X9juj7W0SpvZ89rxZmGYyz4wsUB+RdS2dV89zeBB5/Q3H6/dKPvFqyUcZ089/VMHxZ08vRIUk1X6LPjVI5yRa0AvMBckeCOn2TLr3Qp/tv4m3K043ieGeqhPOgVZLt1MCE4QRgkNoaY6tkPfo3eurrteOXsTu0Wfdqzt/0e2rZaaudG3VJGG6RbKYXqIXt2qt9d17jQNtSaJUww00uUkttVr3dBe6+qQtHsclSvacT9OFjsfcW68RH5EQEC8EJ+zUDdvOs1sEWu9w4hl5RyVCIHKwFuYhcLcMtHVNK44976kmY468x7UtjXc4EbwILkZaEUInTAkhFbVXwWAFi4397KYm1Qd5FAfjcSrpZOMnrWs9BMJ4zGy9plivqesmZduL4OuGWJaUzjF2wryrmxpXTSrSry5X68bshIMI0GrijLFmqRAZ9l+tZHY+d7UYqihVUTYUTfoeesunblMhBr3bvWn6GEwdGzt7kBUnatm161VY2RhFm5A0tPZqGISt2WpDF5bL1B+NH9Xx0WlbrRizMZVqlbZxpHqP4aTQ1nHTMdRrsZnr1lpq27SJZ9bFrX1UEW7vlX4n9bMNY7ClnKygttv0XDahSu+z/SFghaK1hraDv126zd4X2+ZpsaVDIaqLPX5IFqaZzDMhC9SHcWkfbtyg3oL5FA5izeH6gFfmh3ziMy2/+Oaa1bHYPCBJLLX/1STReEiST2uSRdXRR1UuSPJObXzmjyh1tw16S+tpvF3L6eltJbd7c7yHIxrraTzxOdBns2tm/YgkKtWWNiWJzxF9ctEBKUL3Hr3A9GZ/tcK23bpAb4dOxfId21TMCFR4VjTcIZV7mnV9/iyRaQi8EFJJpyNxjIJnqyhYtpEjFymdp0Eoy5KmKIgCzXLFXe+oQpp1iRipypJJWVAWJUHk2P3uRLhW19xpGw6ahvV6zaws2C5LpKoo2pZ50+BjJNY1jfcppjUEYlEQyrIXKjZ2r2mQLrZ1WTdpStNOWAYVCtZSp4JmPCa28WRsoHP4cVeqqzCWyG5bIcIsTlM9UufT1Klluk5CF2pgrU8201pFmC62qL5a3qz1zLajbek+1lKq7SvWfWsF5tbWSVGhhEBd16yahjqmOq9lN4Yn3MAqatW1rUlKeh9Go74slAo/tSbqsTqew3hPvaadnb5/KiK1HSsGrRvbWpL1swpgjdO0PwDMj4fjcbbWSL1eG0dq74X+oLBt6b76ul73Fuihq30YKqHfBSsWdbv9AXKaOLT3xwpSfa/fBytI7XUP43T1XDZ8YbhN2z+NLEwzmWdKFqgPIR4csP78GyxfX3L4Ws3i5YZ7Hz/kjY8t+OiHl9ymJolPzdq/S5JfgTSP0edJMuyNbn1DL78cfWqPztp+Gu9sXKrWHdU/9XaCVY3lVBd57Pb1wIQxE4QpwiENJYFJl3QEkQLhBiU3mHBEy+XRFtPC8Wq7oF2tqXykbVsWrk2z2McW1yT7bHKLOw59YCqO+XpFQctEHFeLgktEJg7ECfPVknG7Zh2EGEqaek0jEfElq9GImU8WyrUILgQuOcdl76jqhlCNWMeWeWygiYxKz5oITmicMBbBO+F+jIzahq2qTELHewrnuOSEEXBntaIm3d1V23LgPaPxmFHbclDXtKsVt9uWUQg03jPznlLdtuqChuMH7Hq55sA5Fm2LiBDrmlHwzHyBDyYDWwWGHgspVtS6Um0xeLVsmUSiECNFU3e/KgRiC6FIcabQWyFFeje1PuxtzUhrvR3WCrVuY+iFnS1FZPcZil0Vtd73lmJtZxDnWLctB4eHLJrmOEhmVBTMJpP0o8DGcOpc8op9P7QE2lCAtk1joYIV+u1qHR4KIy0ZpddmxbJaQfX9UCBai6DWD7UWyWG8rO3vUHBakWYt3NbKqPtaoWs/D797ViTruRUrlK3bX/sy/MFlz6/ntdZaawG3Y2P7qGMxdN/r+uExm0TncF0WppnMMyML1EdgvU75DrfeFF57DT77SuAXPjLmsxQkcfoGKWt/Te9svm9aWJIiI1WMSveqltSWB4vTJ8HaIfXho7n2gmfEmIICj9BQMyfZhCMFBRUFIwoER0PL2JWUXtgpKpxLf9hDqLhcjGljwzo27JLmZg9NzVYx5oWiYCSCX65ZSEtsIisnUAZGQXBNy3bbsHAtTbtmyxVcdp5t4Ga9pHWpxNJ+AUe0lCJJ2jtHbBq8d+zSckikiQJtw26RZl/aco7gILYRL0LlhC1gW4Syq0c6p2VZeLZCicTIrCm5u1qCOCQ4ps4TRVgDd2gI9ZptJ7BOD/bgXJoJar1OsaveEZ3naD6nXK2YVRWl90yKgkYc3rtUf9S5VGvUuo6N+FiKY95GJuIQcUTnOGojRd0wGfXiTYjJ3W6tXzr/vApRk0QlwaevgxMYdzGb1tKlcYTWImcFhbrp9VVFFfSxjSrqtE216EJvWVOrmx6rglbFCpwUJDbJx1qbbUxm1/ZqsWDhU81YKUtijBy1bZqpysZkWpe2TTqylQVs+IGKU2vtVAE+tO7ZNnQMq+pkcpUVR/qDwVpTrYUcTo+ttONkE4BsXK8ViPae2yQs21ftgx5nZ4GyAtH21fZH+2DFqY6Jfsf0/No/TZyzFvRNVs+hxdOK9+H+w5hXyybLaRalmcy5IAvUh9HlahwdwcEBvPyK8Cu/Ah9vgWPr6U2SCNX5jCJJoGr1TE8ShVoqSmeV0jSgqmvjgM2JUHaW+uWG7cqsO19LXy81muOP0HL3RRdFOqFiRglE1iwoqJgyJtIyocC5SHCOum2YhIIQAvvVhP1qi7ZeIa2jcuCrkhVrVo3nbpvqdlaxYqccMw0lB82KOq6IeJZlS+UKRjhqEULTEmkYx0jdeq6HghfLknWz5nCe3IqFE9besSOOJkLVlYJa1xDEM92acS223Gtb2hiZ+VSS6YDIG3WNEAkRXigDl3xg7IE2jXXbCG69xHlHjFAGz7QoqJs089KqbViGgDjhqGkIPjCRztXeze9eAyKCeJ9iQwEkUhcFE5/c5hMbP9kJu4hQt5FVEbrkp1QPNYhQi6Ts+k4YubJIwjwEpCyomyZFOEsSumVZpv/QnYiRtjEP1+77FluQ0AshjY0cihUVGYoVSlZUWhFnxeIwCUWFrVpNddHi83pO614WeWtMrXWHW3e69r07rhZBxmOki/GUGFNpraLoZ2SyrmbbNvRxwFagW5f7UICpyzwM/qQOXfC6Ts9hrcSbxtGW07JtDi3RVoTpD4fhvbPi1k7hagWk9sMKTtu/TWEDw3PZvqjl0+4/XHS9nsuK4KFF1Fpd7b62v8Pv7dBCeprgzML0ueFf/td/6Ky7kHkEskB9CM14xmJ2mVsjeEVSitPP3YQ+5rQkidS73RFzklC8TBKU6jjXokw2ltR37YxJeerq6h+KVC22NHC/vQWNgdXQAbWaRpJYTaEFM4QxE0Z4KjxjL0SJ3KvneF8gLXjnGQVPIy1NjGxXJbMwQWiZuRFbrqCclJRtyypGyqZhXUf2Wk9VCnWMFB6WsuD1ZkXT1kyLSBEjJZGZOEocSxfxDqauoHCRO3VE2kho5qzWa6ROs97fE4erU6a4OJ+Sj7xPSUtOqKqKS06YdWI6OM+SyJvHzzlh1D2sopb3AcQ7itWKRWdRdJLmp6dtGYlwT4SmrpkUBbFtaUtoQsFyNMabRJLQNsT1mijSGa6SgAkhEKvRSYFlBFUNHDQNixgRJ8S6YRw8s7KkqGvmiwUUBeI9bdOkeg6jEbX3HMTIwqXrj94zcqlIf7AxePpwt6LBPuxtrGrXp2PxplbAYWKLCkdr2dO2hjGO1hKq2LhUFT0qmqzFcWid3OQ2tgJSLaNtS9jaIi6XxLJMlQnalrhcEra2+tmnhtiyScOaosOyTUMRZC2Y1nJqBbw9z7Bk1DBGdyiCreC31lk9vwpQjRMdCr2hVVHPOxShNoxi+P2xQm84fptCA7p7ceLVYq3Qm9bZMAd7n60gHZ73NEG6SWw+6rpMJnMmZIH6EFYHK5bhiHuvtnz85yM/8w8aFgutc6rxpS8DnyXFnC7oc8hXpKSoe/QTc6qFs0t0oCaFCMzpwwA28TBxqmidVa1AWgM1Dk+J4GkZ0XCNNMPRxIG0LcEJW1QcNvM0t1UjNE3NiporjLjelOzXwu2mZiJ3Kf0BroZFXbNXlVTO0fgl2zGw244QgftuRdO23BHhajViqwypCpET9sYlVyYzDuoVO+OS/fEEIfLaesXn54dECUxd5NJ6zRv1impU0Ypj6h3LtuWgLPHO4cuCg7KiEdiejNkylrG4XrNDZHJcUxTmdU3rPc48CKsuuekoxuQOdo5RWVKFgsOjIw5WS8QHohNGIqlIvnNIJyZihGK1olqtOKxrpE0zOI3KikKnndSlO6fGiK7Xa5aLBdOyTD8n2pajpqYsK8rxmNFsxlHTJBEaI+OioBqNWMXI8ugoHedcOm65TFZUW08TTopHazVTYWPF6TBeUUWbWjJVsI3HJwWOuq1tuzYm0gpZbX+YHGStZnqM3deKFHtt1nLW3ZOybRkdHXG0WiEixNGI0fY25e7uyRqatj6qtm3HRNu1QtMKHn1vr9WWlVKsuNRxtW3bWMzTjhlaL4djNtxnKLZskpK9x0OrtT33aWLvNAE6tKgO+6frhvfw7QjRTQJ5U7+HZEGayVwoskB9CKsV3LwJL70EH/tYzefn9+nF6U1Shr5aPt/sjmpIIvSIJDpTvCfHFTuhd/frq1YKfRqUBApKSpYcIbSU+K5MU8DjaEJDqMaI98xCSRuEuAqsG4+LyUrpvOeaD7x7a493za4QvDBarQi+ZVQW1O2aCOxPt6hdw2S1YOUcdz1sj7a4Pi6SjdgJlycjJqOSpm24N58Trl1huncFv1qxNZ0RyhIXHFfWa8r5AYeLBcE5/GLOaHFEiBBX6xRWEBuOnON929vMqhFOHEdNzco5CpLIkqambBoW63WqTUqkjRCbVGYJ6KboTPPUT52jqOtUCN95Ku8IIuwFT7MWCqAQIcTIerHEV1Wab74TYqFtmZGEUQ0EhKptCG0DyxoWJiYTjh/AdV13eUmCuBQi4BpoiBRVyVbbUjWOer0mOEfZtoTlkqPFAlmtkC5mT7xHmoZ6sThZVsj7vpi9Wo6tVQ3eKlZVgOhirZxWUFqxaTPsTQjDWyykVrhZlzGcFD5WiFmB432fTGStjXrujhBjiv1draibhlAUKf5U43GtdXCYIGUFvbV8D2MqrXvaCmU4WZxfr0H7P7T6wUkLrRXnwx8PdpsdM2132A+9r4paY4cuce2TjoXuZ+NDbRt6XhvPOhS6VkgOReVQiG4SssPzPYoIHR73KOsymcy5JAvUh3B0BMvDmn/xLw745798hyRCVaTepp988363qHV0Tm9N1QdSSV+vtObBhfdPw3PSyiokt74AjoJtZkzwOKRqkWXBaFSAOEqfZiAaFyOuXXsP29NtSh9YxzVH6zmhrqkWC1xINTtfuPYiN3av8Z7LL1AFqIrIyDlmky0qafnC7deYLxaUPnD76A67yznL5ZrpuGI6rbi+vcM4BO4ujiAE1nhwkbYINKMRqyownY6YdIkrEltmRcmo3GY1GdOsV+yNAgdHnqooWa3X1KsVt5dzpkXB1taM4HzSQitJqWDH4qGgOJpTtSsO54dIbIkkC2jRWRxx7jhRI8RUOqvPDG/SfPcIez6wiBGaVAVgVJaU1hra1QEt1msKP3AxWkshIP6k8CicMK9rkmkZ2vWa2LbHQiqIJIvoyIQJiBDGY+JqRSwKpCxpY0zH2TJE1kVsxaa1TMFbXbfDJCJbLmiYKGOtkVaMWkvhJisf9H1R66sVmlYA6jHWSrdc9ucdCrruWoNzBDsLlbZtz6+vdjw2jZ0V3lbI23HaZOXbJLStJVavzbrR7TXbfg7PuSlMwZ5r2KYNwTjN5T4U1VaEW5FpxfpQMA/7aC3zQyv4pjEbjqt9PY3TtmdBmslcWLJAfQi3D4Rf/1TLBz+8JMV43uuWNcl6+hrwSZKL/xbJIlqR3PlajKk1r1puXoWsis2yO/ZBSVBCct1bi6zrXmEkFdtb+2zNpqzXRxwuD5hUY8bljCpEfFFSjadc273Cl7/ndzIZjTg4uMNiueSNNz/LvfUdptszJmXJtd0rXN3b5V1XrvPuS1c4WhxQlJ7rO3uMyzFV6RlvV7x59wus1ivieJvFsiC2NVdnuwiR3Z1ddicT2jffZLGcMymg8IGdcpfru7vsTUYpk957nDTQ1N1ItJQOZFzRxILCOxZ1zcQFYumZTiqaNuI7cdTESIvgQ+iL1rcNvhox9YGiKGlimyyQzvV1RG2M5LCeYidKggizpqFar6ibOiUx+ZTElB7Q7oSAEYzlUS2GwyQXkyldOpdc0TEiMRKbhpHvyk9Z4WKFowhljIxC4KhtU2hAjIyqirKq+qlBbTkf6961pYespWsoOPQ6NGZyk4By7mQs5fFX1Vj+7DLcLnIyc9uKGCuUhpa9ofi3Qnn4atsZirbhPbfH2Wz7oWvfxqsORbK9VivM7A8B3WattLavGwT3W6yQOhZ2rGyf7DY79sNrGbr6N1k6tY/D9cO2hkL0NCvmcPsmUfogsnU0k/miJwvUh3DzlUM+8rO3+MIXjkixop8jCdQV8AngMyRhekAvMO+SBOiEJCZ1NqlAL0zbbpuWnVrSC9nT4lAd/YSiqU1HQYmjlOTCnEjDtIZWPJNixLJZMsMxChVFC5f9Fi/IjBcOD2ju3mJKg9BSxZrd4KkkshdK3jUSZusF4bWX2avnjOsFENlf3KEqAkjL7OA+7dGCtlkzXs4pXUGUlr3FEZHIpK0ZHQX2Dg6p64ZRSBbMraJk905LuJWu00n/8JTO2hxj+ifEyKxtKZsmZbk7hwPmqzWHTY3ETpw5R1mYMkFFgYSQXPNVefLhG2M/+08n/sQbMWhdlyIU3qdR19hRa32ywmz4sLbWMxV+g0Sc4D2zGJMrOsbkii77Oqsb3Z4ix8K5bJrehV1V6TibGW4tUkMRM4wbHFrfrHi31r9N1kMrILVt65a2bnLt19ACOCwtZdsf9k+xIQFD7BgMtw+F+XD98P2wvU3HbBLHFjsew/7b1033Y8gwTnY4JqcJ/U3XcNp1DvfbFHZgjxnes2FbjyogszU0k8mQBepD+dSnan7m/4UkJG+SxOgbwK8CL3WfoXfj6yz1OqnnqltXwPFcSVqKynX76XttR8MAhN59n/44jxlRSqCJc4KrKKqKvWrC7vYVKokc1nMmRcmN7fdSlZ47B29wsDxgazJlWlW8uHuNceEIRc2k8hRFSKcsdpmvRky8Z2tcMC6FqopcHVXsbAm77ZjknW5ZtSuIMK0CkzCmkCn3lgUNQi2O6bhif2eHskxZuDvXJV1BbPHiKMsyTdmpmcjdgy+SEoGO6SyAXoRx92CXKk29GJqGKsYkzkKgDCHVFLWC0AidY8umjeNTQdol/4gtSj/McFbBpuLViikVncOEI+2HClNrodR2Y+ynObXCbJObdSAOgsjJ/8BWFNg+WmzogRVC1s1txZJet7Xm2bZ0u80q13tnz2UFsZ5j2D8r9Iaifyi69FwPE8+27aEgtq72GE+O/4YfBW8RpnYc7LhsOl7R+NdN1z1sE04XhZuSpZQHCVM7xvZaHyQKN43Jpmt4FB60XxagT53pcs50cXjW3Th/3Llz1j043zSnGcmeLVmgPoRf/EVIFtPXSdbTjwOvkMTqbfrMexWRmgSlolNvtCeJzXm3n24rzKvObC/ozFKOAmGVkm4kUIQSH2BSXSU4YVbNuHH5BXa39qgKz+3DNwiF430vvI+d6Raresnnb71KKOCFvSvs7GwTaRmHgsJDK2uCd+yW7+LW7dd5/e5tVuMx5WhMPRqxmG2xvnqNyzs7jKoRkUgbhBAKmtiyWC2YjEfM1g3LtuFwfsTezg67sxlFEfrntrrVuxXRFuGG9HDqRJyoJdTuYx/UzhEguerpxKf9D6UPb2MBVMvscbvWomfiSYmDtqyA0QLydqrHoRXJxvhZwbPJYmhFh7HYnhCJeqyuH84lPxRzivbTtmGFlBWoQ2GtfbdF4zcJSj2P7YO9jqGoHV6bWjaHFkN7/HDsrFAc1lodjuuQTbGqlkcRjg/a/2HnHrY3DCmw+z2oD8N1QyunfT2t36eN1+MKz0fZNwvQZ8798ZT1ZPusu3H+2N8/6x6cby5dOuseAFmgPpT/72Nrkqi8TbKW3iSJR+gF6abse7vPiOTWV5FakmaUV0upI8WWXsIzYzRyjMo1k6lQlZ5mvWJZ38d7x2g0Yndvj8s7V2ndEonC1s4+RVVx5fINZusDyqLgfV/2fkaVsFouCa9f4kvf+16uXL5ES0u7XrCzMyXguHXnFm3bsrW3y/TOPfwrn6EcVbxw4wZbezu4FnZefJG9y/vJfSxynOhT1zUyP2J+dITEiAOulCWz6ZTgfbKGqhgcWB6lXp+0oNrFWsNiqg96zNDa1b2Xtjm5XdHzWoE23D60ag6tgXBSmFoRq/0Yiil7Hr0eFVR2Np2hdVHbsX0YCpKhddJa1YbntSEL9n4MraxDd7yOi+2TvrexkzYMwJ7bVhIYivlNAsu2b9kkvB5kJR1+tiJw0/6nnW+TgLXHPOxY21fLJuF42ng8qpVzeE77ebj9tM+PQhagF46DcsJqNDvrbpw/9vbOugfnm52ds+4BkAXqIyAkMTmin6EeesvpaaWhPGl46+74Lfo400vA+0nC9D5wxGyyw41r72P/0j64JdPpiK3pNt4vqZt7NO2C9foeo2qbnd1LbM2mtOsl4tcIkctX97l66TrjyYjJuMT5BpGa5armd77423jxxruYzaasV2tC8Gxv79A0NduH+6ybJUeHR+xemiHh3Vzbv8L+5X1Go4q6rtmeTSgrW9cxCZHCO2ajEWUnVo9nM/K+e1YJx3O5n3gPVCkB5fiZ9hbrXovo59O8Dc2GKgjWymfF1ybrn6JJOg9iKFY2xTyqq9tYio+PHX7e1OajMrSUPkp/FWuZHlrbNiXyWN6O0Dttv2H/hqLuNDYJtaH1evj+NJf8aSJxUzv2fKe9P41N1t3hOTZ9Pm3do/Kox2ZBmclkzjHnSqCKyAz4PuCPkVTcrwLfH2P8+49w7FXgB4A/QspO+hjwl2KMP/tkvXqNJCI/Q1JKhyR3/5JU59TiSEPqzXu67oy64/eAa0xLz84lT1XsMN2+xu72i1y78gLb2xXjMYzHBV/63vfjxbFuFhSFEDzU7QHr9ZzpZMLWtEJcS1MfsrOzzaVLu+zv7VNVFffu3+dofsh0MmV7a4vxuKSua8oyiciiCBwdHSGsqMop691t7t69S+E9165dYWd7m7ZtmbdtspwaUWWfa4V3FJMxQ048+4xAO3a1P4o427TPJnH2oLY2xQc+7FynCZ/TxKCKOhsX+KB+PUjo2fYedt7TGForNzG8xqH4elD/hu9PE4KPYvF7kPv6QaLxUXlUkfig/j4tIfd228kCMpPJPMecK4EK/BTwbwLfA/w68O3AT4iIizH+vdMOEpEK+FlgF/hzpCmd/jPgZ0Tka2OM//Txu3STNA1pIE1hah90FX0t04pkJW269yV91v4WQsXuzg67O/vsX95hVI4Qt2R7Z48XX7jG1f0X8d4zm44Zjwt2tqe8+91XuHb1ClVVUlUB72tWqyMOj+5S1zVVmRKsHEI1qphORsf7Xr++240Nx69DvVRVJeNRxWK5RAQmkwlVWSIC88URMcJ4VFFV5QO1y8bn6Amh1i363nZmaBl7mIvVCq8HCdRHEYqntfswwbtp3XC9XfegkjpDhtZBvc5NrttNIvO0fg7PPdy+qf2HZWW/HR5ktXzY+tN+MDwtHrfNLCAzmUzmHePcCFQR+XrgDwLfHmP8iW71h0TkS4D/TkT+jxjjac7e/xj4SuDfiTF+uGvvQyQr6g8Av/fxe+ZJ8aEtcBm4RsrMP+jWHZDiTQUVozDCsceNFy8xHTVs71RMpgVX9vbZ27/EuPIEX4LA1StXuXHjRRyRnb0tRqMRl69MmU1GXL92hfF4YnJ2CsTt0jQzmmZF09SEoqAqC4qyOCFSIhsengPPbTEWtsYjqlXXVgg452jblrquKYrOZW+z49+uW1oF39CtvcnC9yBhsmndplI7m9p4lGQYKyZPc3HbmNGHncP29TQhc1rs5TBJ6kH9OY1N595U3uhRxPLjbrfneRwe9zs3PD6TyWQyF45zI1CBbyKpvZ8crP9R4O+RROY/f8Cxv6biFCDGWIvIjwP/rYi8GGP83ON06od/eML161scHjradsrHPvYBXn55Stu2eO957bXXuNOVrJjNZsQYuXz5Mjs7O7znPe+hqiouXbrEbDZje3ubGzdu0LYtTdPQNA03btxgOp0yn89ZrVaMRiOKomA2mzGZzQhdLc+TVKQZrE5no1Fzw+cyVJTj6nGGJpN5OE9DJGahmck8Fh/8C1/NV3zFV5x1NzKZx+I8CdSvBD4ZYxxmvnzcbD9NoH4l8M82rNdjv4JUI+pts7W1xXg85ujoiBgjN27cQES4ffs2h4eHXLlyhXe96128+93v5vLly4QQqKqK6TQJyP39fV588UWuXLlCCCFlvkuq9zkajZh1IrSua1ar1clko3Cebk8mk8lkMpnMs+E8KaB94Dc3rH/TbH/QsW9uWP8ox2qC1ZXB6vcDvPHGG9R1TV3XeO954YUXuH79Ordu3eL27duEELh06RJXrlxhe3uboiiIMbJcLnEuFaVfLpfcvHkTgPV6TdM0eO8piiKL0Ewmk8k8Nvossvz8z/88AC+99NJZdClzwTHfm/JB+73TnDd19KBgs4cFoj3Jsd8F/OVNG777u7/7IYdmMplMJnP++MZv/Maz7kLmYvNu4F+e1cnPk0C9xWZLp05psMlC+jSOBfibvKaSBQ4AAAmdSURBVDX29auAnwC+lVTuKvN0+DLgHwLfAPzGGffli408tu8MeVzfGfK4Ph0ukeoXWn4H8NeB/wj4pWfeo8xFpySJ0yeogPTknCeB+svAt4lIGMShflX3+isPOfarNqx/lGOJMX6BVJrqGOkTM341xviJBx2feXTMuP5GHtenSx7bd4Y8ru8MeVzfOUTkN0gC9Zfy2GYekzOznCoPmLD5mfPTpEKj3zJY/53Aq8BHHnLs+0XkuJyUiATgO4CPxBhffcp9zWQymUwmk8m8Q5wbC2qM8R+LyAeB/1VEtoGXgG8D/jDwHVoDVUR+hCRavyzG+Jnu8L9DKsz/kyLyPSRr6HcBXw587bO9kkwmk8lkMpnMk3BuBGrHNwN/Dfir9FOdfttgqlPfLcf+oRjjUkT+AKko/w+R5hb9KPB1TzaLVCaTyWQymUzmWXOuBGqM8YA0Vemfe8A+fwL4ExvW3yRZVp8WrwN/pXvNPD3yuL5z5LF9Z8jj+s6Qx/WdI49t5sIj8UmmIsxkMplMJpPJZJ4y5ylJKpPJZDKZTCaTyQI1k8lkMplMJnO+yAI1k8lkMplMJnOuyAI1k8lkMplMJnOueO4EqojMROR/EpFXRWQhIh8VkT/+iMdeFZEfE5E3RORIRD7clbd67nnccRWRbxaRnxCRl0RkLiKfFpG/KyK//Vn0+yLwJN/ZQTvfJyJRRB44s9rzwpOOq4h8g4j8UxG5JyKHIvIJEflT72SfLwJP+Df2a0TkgyLyBRE5EJGPi8ifFRH/Tvf7vCMiWyLyAyLyT0Tk9e7/8ve+jePz8ytzoXjuBCrwU6RyVH8F+DrgF4CfEJFvf9BBIlIBPwv8AVIZrG8AbgI/IyJf/Y72+GLwWOMK/FekurV/jTQpw18CfjfwSyLyFe9cdy8Ujzu2x4jI7wL+C9J3NpN47HHtJgT5KdI0yn8M+KPA3yTNYf2887h/Y78W+H9I5Q//U+AbgZ8DfhD4H97B/l4U9oE/BVTA//V2DszPr8yFJMb43CzA1wORVPzfrv8nwOcA/4Bjv6s79veZdQH4BGk61TO/vgs6rlc3rHsBWAF/+6yv7ayXJxlbs28gzav8g6QH/q+c9XWd9fKE39nfAzTAf3nW13Helicc1x8HFsB0sP7/Bu6e9bWd9UKanEZLQ17uxvl7H/HY/PzKy4VbnjcL6jcBB8BPDtb/KEkU/d6HHPtrMcYP64oYY036o/pviciLT7mvF4nHHtcY4xc2rHsV+Czw7qfYx4vKk3xnle8hzcz2F59u1y40TzKu/zmwJM1alznJk4zrmvTDdD5Yf4ckXJ9rYsdjHp6fX5kLx/MmUL8S+GT3H9PycbP9Qcd+fMN6Xfc8u6OfZFzfgoh8KfAlpF/3zztPNLYi8jtIYRN/JqaZ2jKJJxnXfx/4JPAtIvJrItKIyGdF5PtF5Hl38T/JuP4tUojE3xCRF0RkV0T+Q5K4+oGn39Xnivz8ylw4njeBug+8uWH9m2b7O3HsFztPbWxEJAA/QrLC/I9P3rULz2OPrYg44O8APxVj/EfvQN8uMk/ynX0R+O3A3+iWrwV+jBTj+6NPr4sXksce1xjjR4DfTxKknwNuk8bzL8YY//un3M/njfz8ylw4wll34Ax4kIvkYe6TJzn2i50nHhsREZI4/feAb4kxvvI0OvZFwOOO7V8gCak/+nS780XD446rA7ZIcZZ/v1v3IRGZAn9eRP5yjPGlp9XJC8hjjauI/B7gp4GPAH8aOCQJ1u8TkVGM8b95qr18/sjPr8yF4nkTqLfY/EvxUve66Rfm0zj2i50nHptOnP5t4DuA74wx/sOn170LzWONrYi8B/irpPjTlYjsdpsC4LrPyxjjMN7veeFJ/xZcJyXvWP4x8OeBfx14XgXqk4zr/0LKLP+mGGPTrfuQiLTA94rI340x/ubT6+pzRX5+ZS4cz5uL/5eBD3RuZMtXda8Pqg/5y2a/t3vsFztPMq5WnP5J4D+JMf740+/iheVxx/ZLgTEpc/+2Wf5d4APd+7/+1Ht7cXiS7+ymWD5IWdYA7ZN07ILzJOP6u4BfNOJU+QXSs+oDT6eLzyX5+ZW5cDxvAvWngRnwLYP13wm8SnItPejY94vIcRZq90f4O0hlOl59yn29SDz2uHbi9H8jidM/HWN83mP4hjzu2H4U+JoNy8eAT3fv/+en390Lw5P8LfgH3evXDdZ/PUmc/sLT6OAF5UnG9VXg39hQlP/3da+ffSo9fD7Jz6/MxeOs61w964VUj+9NUiHorwF+mBR/8x+YfX4EqIEvMesq0q/Ml4FvJyVG/BSpNMpXn/V1nfXyBOP6Q91+PwL824Pld5/1dZ2H5XHH9pS2fo5cB/WJxhUogF8klT/6s93fgu/v9vuhs76us16eYFy/u9vvH5EKyf/BblzXwAfP+rrOw0L6UfStpB/0Efg/u8/fCkweMLb5+ZWXC7eceQee+QWnX/c/CHyeVMvwY8AfH+zzY91//vcO1l8D/ndSPM8c+DDwtWd9TedhedxxJVnz4inLp8/6us7D8iTf2Q1tZYH6FMaVFLv3t4DXSLU7f42Uxe/O+rrOennCcf1m4J8Br5MqefwKqUza9Fn1/zwvD/l7+d6HjG1+fuXlQi06K0Umk8lkMplMJnMueN5iUDOZTCaTyWQy55wsUDOZTCaTyWQy54osUDOZTCaTyWQy54osUDOZTCaTyWQy54osUDOZTCaTyWQy54osUDOZTCaTyWQy54osUDOZTCaTyWQy54osUDOZTCaTyWQy54osUDOZTCaTyWQy54osUDOZzDNDRH5MROKG5beddd8ymUwmc34IZ92BTCbz3PEzwJ8crHv9LDqSyWQymfNJFqiZTOZZs4wxvnbWnchkMpnM+SW7+DOZTCaTyWQy54osUDOZzLPmj4jIgVl+8qw7lMlkMpnzRXbxZzKZZ82HgD9jPh+eVUcymUwmcz7JAjWTyTxrDmOML511JzKZTCZzfsku/kwmk8lkMpnMuSIL1Ewmk8lkMpnMuSIL1Ewmk8lkMpnMuUJijGfdh0wmk8lkMplM5phsQc1kMplMJpPJnCuyQM1kMplMJpPJnCuyQM1kMplMJpPJnCuyQM1kMplMJpPJnCuyQM1kMplMJpPJnCuyQM1kMplMJpPJnCuyQM1kMplMJpPJnCuyQM1kMplMJpPJnCuyQM1kMplMJpPJnCuyQM1kMplMJpPJnCuyQM1kMplMJpPJnCuyQM1kMplMJpPJnCuyQM1kMplMJpPJnCuyQM1kMplMJpPJnCv+f5M/fQVy7u+9AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (hax, Fax, rax) = plot_MC(F_bs, r_bs, par, eps_Sr, eps_Nd)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### GQFP, Mantle End-Member" ] }, { "cell_type": "code", "execution_count": 384, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 0/5000 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (hax, Fax, rax) = plot_MC(F_bs, r_bs, par, eps_Sr, eps_Nd)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## One Step Further: Sensitivity Analysis?\n", "\n", "We now have a grasp of how the combined uncertainties in each of the inputs influences the output. We can go one step furter than this, and think about how *important* the uncertainties in each of the parameters is to the output.\n", "\n", "You could do this algebraically (partial derivatives), or take a similar monte-carlo type approach, to estimate the sensitivity of the output to uncertainty in each parameter. This could guide future experiments to better constrain the uncertainties on the inputs.\n", "\n", "To do this, we'll calcualte the model varying each parameter individually, to see their relative importance. " ] }, { "cell_type": "code", "execution_count": 386, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/oscar/miniconda3/envs/py3/lib/python3.6/site-packages/scipy/optimize/minpack.py:161: RuntimeWarning: The iteration is not making good progress, as measured by the \n", " improvement from the last ten iterations.\n", " warnings.warn(msg, RuntimeWarning)\n" ] } ], "source": [ "# this varies each parameter individually across its standard deviation (keeping all others constant).\n", "\n", "obs_Sr = 0.71458\n", "obs_Nd = -3.19\n", "\n", "rs = np.linspace(0.01, 0.5, 100) # r range to use for initial guess\n", "Sr_params = {p: v.args[0] for p, v in Sr_params_oceanic.items()}\n", "Nd_params = {p: v.args[0] for p, v in Nd_params_oceanic.items()}\n", "sa = {}\n", "\n", "vpar = ['Ca', 'D', 'eps_a', 'Cm0', 'eps_m0']\n", "\n", "for k in vpar:\n", " \n", " # Sr parameter sensitivity\n", " sr_v = Sr_params_oceanic[k]\n", " sr_var = np.linspace(sr_v.mean() - sr_v.std(),\n", " sr_v.mean() + sr_v.std(), 100)\n", " sa['sr_' + k] = {'x': sr_var, 'dx': sr_var - sr_v.mean()}\n", "\n", " sr_params = {p: v.args[0] for p, v in Sr_params_oceanic.items() if p != k}\n", " \n", " F = []\n", " r = []\n", " for pi in sr_var:\n", " sr_params[k] = pi\n", " \n", " init = (F_calc(obs_Sr, r=rs, **sr_params) - F_calc(obs_Nd, r=rs, **Nd_params))**2\n", " r0 = rs[init == np.nanmin(init)] # initial guess is r value where F difference is closest to zero.\n", " \n", " ri = opt.fsolve(calc_r, r0, (sr_params, Nd_params, obs_Sr, obs_Nd))\n", " r.append(ri)\n", " F.append(F_calc(obs_Sr, r=ri, **sr_params))\n", " sa['sr_' + k]['r'] = np.concatenate(r)\n", " sa['sr_' + k]['F'] = np.concatenate(F)\n", " \n", " # Nd parameter sensitivity\n", " nd_v = Nd_params_oceanic[k]\n", " nd_var = np.linspace(nd_v.mean() - nd_v.std(),\n", " nd_v.mean() + nd_v.std(), 100)\n", " sa['nd_' + k] = {'x': nd_var, 'dx': nd_var - nd_v.mean()}\n", " \n", " nd_params = {p: v.args[0] for p, v in Nd_params_oceanic.items() if p != k}\n", " \n", " F = []\n", " r = []\n", " for pi in nd_var:\n", " nd_params[k] = pi\n", " \n", " init = (F_calc(obs_Sr, r=rs, **Sr_params) - F_calc(obs_Nd, r=rs, **nd_params))**2\n", " r0 = rs[init == np.nanmin(init)] # initial guess is r value where F difference is closest to zero.\n", " \n", " ri = opt.fsolve(calc_r, r0, (Sr_params, nd_params, obs_Sr, obs_Nd))\n", " r.append(ri)\n", " F.append(F_calc(obs_Nd, r=ri, **nd_params))\n", " sa['nd_' + k]['r'] = np.concatenate(r)\n", " sa['nd_' + k]['F'] = np.concatenate(F)" ] }, { "cell_type": "code", "execution_count": 388, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(2, 5, figsize=[10, 5], sharey=True)\n", "\n", "ax2s = []\n", "Flims = []\n", "\n", "for k, ax in zip(vpar, axs[0]):\n", " ik = 'sr_' + k\n", " ax.plot(sa[ik]['x'], sa[ik]['r'], label='r')\n", " ax.set_xlabel(ik)\n", " \n", " ax2 = ax.twinx()\n", " ax2.plot(sa[ik]['x'], sa[ik]['F'], c='orange', label='F')\n", " ax2s.append(ax2)\n", " Flims.append(np.min(sa[ik]['F']))\n", " Flims.append(np.max(sa[ik]['F']))\n", " \n", "for k, ax in zip(vpar, axs[1]):\n", " ik = 'nd_' + k\n", " ax.plot(sa[ik]['x'], sa[ik]['r'])\n", " ax.set_xlabel(ik)\n", " \n", " ax2 = ax.twinx()\n", " ax2.plot(sa[ik]['x'], sa[ik]['F'], c='orange')\n", " ax2s.append(ax2)\n", " Flims.append(np.min(sa[ik]['F']))\n", " Flims.append(np.max(sa[ik]['F']))\n", " \n", "for ax in axs[:, 0]:\n", " ax.set_ylabel('r')\n", "\n", "for ax in ax2s:\n", " ax.set_ylim(np.min(Flims), np.max(Flims))\n", " if not ax.is_last_col():\n", " ax.set_yticklabels([])\n", " else:\n", " ax.set_ylabel('F')\n", "\n", "axs[0, 0].legend() \n", "ax2s[4].legend(loc='upper left')\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From this we can see that some parameter uncertainties have a much greater effect on the results than others (in particular, Cm0 could be a good place to focus uncertainty-reduction efforts). Note that this is an sensitivity analysis for one particular case (Oceanic end-member) - you might see different patterns for the mantle end-member case." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }