{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "###### Content under Creative Commons Attribution license CC-BY 4.0, code under BSD 3-Clause License © 2019 Lorena A. Barba, Tingyu Wang" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Stick to the essentials: SVD\n", "\n", "Welcome to the fourth lesson of the module \"Land on Vector Spaces,\" on practical linear algebra with Python. The previous lesson focused on the _eigendecomposition_ of a matrix, and applications of eigenvalues and eigenvectors. \n", "In this lesson, we learn a new matrix decomposition that is useful in countless and important applications: **singular-value decomposition, SVD**.\n", "In data science, for example, SVD is useful to remove redundant features in the data, while keeping the essential ones. \n", "SVD leads to methods for obtaining a least squares solution to an overdetermined linear system of equations. \n", "It can be used for the compression of images (as we illustrate below), and also for noise reduction. \n", "It's just an amazingly versatile, powerful idea!\n", "\n", "Let's get ready to work, first loading our needed libraries." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy\n", "%matplotlib inline\n", "from matplotlib import pyplot\n", "pyplot.rc('font', family='serif', size=5)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import sys\n", "sys.path.append('../scripts/')\n", "\n", "# Our helper\n", "from plot_helper import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Geometry of singular-value decomposition\n", "\n", "In our previous lesson, we developed geometric intuition about eigenvectors, starting with a symmetric matrix, then looking at the general case. \n", "We also learned to use [`numpy.linalg.eig()`](https://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.eig.html) to obtain the eigenvalues and eigenvectors of an input array representing a matrix." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Symmetric square matrix\n", "\n", "Let's review the case of a symmetric matrix, using the `numpy.linalg.eig()` function with the matrix:\n", "\n", "$$ A = \\begin{bmatrix} 1 & 2 \\\\ 2 & 1 \\end{bmatrix}$$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.0000000000000004 [0.70710678 0.70710678]\n", "-0.9999999999999996 [-0.70710678 0.70710678]\n" ] } ], "source": [ "A = numpy.array([[1,2], [2,1]])\n", "d, C = numpy.linalg.eig(A)\n", "\n", "for eigenvalue, eigenvector in zip(d, C.T):\n", " print(eigenvalue, eigenvector)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output of `numpy.linalg.eig(A)` is a 1D array with the eigenvalues of `A`, and a 2D array with the normalized eigenvectors as columns—here saved to the Python variables `d` and `C`, respectively. \n", "As we learned in the previous lesson, we can decompose the matrix as $\\,A = C\\, D\\, C^{-1}$, where $D$ is the diagonal matrix of eigenvalues. \n", "\n", "Now use our custom function `plot_linear_transformation()` to plot both eigenvectors along with the linear transformation. \n", "The function allows the settings `unit_circle=True` to show the unit circle and `unit_vector=False` to hide the unit vectors. Have a look at the result." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_linear_transformation(A, C[:,0], C[:,1], unit_vector=False, unit_circle=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Like we've seen before, the eigenvectors of $A$ (in pink and dark blue) don't change direction after the transformation. They also land on the semi-axes of the ellipse corresponding to the transformed unit circle. \n", "But this is only because $A$ is symmetric!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Non-symmetric square matrix\n", "\n", "If we try with a non-symmetric matrix, the eigenvectors still land on theis span, but this is no longer on the semi-axes of the ellipse. \n", "You can show it by plotting the eigenvectors before and after the transformation. \n", "Try with the new matrix:\n", "$$\\,A = \\begin{bmatrix} 1 & 0 \\\\ 1 & 3 \\end{bmatrix}$$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "A = numpy.array([[1,0], [1,3]])\n", "d, C = numpy.linalg.eig(A)\n", "plot_linear_transformation(A, C[:,0], C[:,1], unit_vector=False, unit_circle=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How could we find the vectors that correspond to the semi-axes of the ellipse? They are intriguing because they are the most stretched or most shrunk vectors after the transformation. Similar to what we've done before, we calculate the maximum and minimum vector lengths after the transformation—the longest vector is on a semi-major axis, the shortest one is a on semi-minor axis." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.33873792 3.16138023] 3.1794761076254896\n", "[-0.94088077 0.07533299] 0.943891774007311\n" ] } ], "source": [ "alpha = numpy.linspace(0, 2*numpy.pi, 201)\n", "circle = numpy.vstack((numpy.cos(alpha), numpy.sin(alpha)))\n", "ellipse = A @ circle # 2 by 41 ndarray\n", "\n", "distance = numpy.linalg.norm(ellipse, axis=0)\n", "major_id = numpy.argmax(distance)\n", "minor_id = numpy.argmin(distance)\n", "major = ellipse[:, major_id]\n", "minor = ellipse[:, minor_id]\n", "print(major, numpy.linalg.norm(major))\n", "print(minor, numpy.linalg.norm(minor))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recall that `major` and `minor` are transformed vectors that had a unit length before the transformation. To use our plotting function `plot_linear_transformation()` to visualize them, we need to pass in the corresponding vectors *before* the transformation. Let's name them `major_before` and `minor_before`, and find them using the inverse of $A$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "A_inv = numpy.linalg.inv(A)\n", "major_before = A_inv @ major\n", "minor_before = A_inv @ minor" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can finally plot the semi-axes now. Notice that we do not need to plot eigenvectors this time." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_linear_transformation(A, major_before, minor_before,\n", " unit_vector=False, unit_circle=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We all know that the major and minor axes of an ellipse are orthogonal to each other—to our surprise, their corresponding vectors `major_before` and `minor_before`, on the original unit circle, appear to be orthogonal as well." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Build the decomposition\n", "\n", "If we use $\\mathbf{u}_1, \\mathbf{u}_2$ to denote the *normalized* `major` and `minor` vectors, use $\\,\\mathbf{s}_1, \\mathbf{s}_2$ to denote the lengths of `major` and `minor`, and use $\\mathbf{v}_1, \\mathbf{v}_2$ to denote the vectors `major_before` and `minor_before` (they are normalized already since they are on the unit circle), we can formulate the above observation as:\n", "\n", "$$\n", "\\begin{align*}\n", " A \\mathbf{v}_1 = s_1 \\mathbf{u}_1 \\\\\n", " A \\mathbf{v}_2 = s_2 \\mathbf{u}_2\n", "\\end{align*}\n", "$$\n", "\n", "Stacking the two equations together:\n", "\n", "$$\n", " A \\begin{bmatrix}\n", " \\mathbf{v}_1 & \\mathbf{v}_2\n", " \\end{bmatrix}\n", " =\n", " \\begin{bmatrix}\n", " \\mathbf{u}_1 & \\mathbf{u}_2\n", " \\end{bmatrix}\n", " \\begin{bmatrix}\n", " s_1 & 0 \\\\\n", " 0 & s_2\n", " \\end{bmatrix} \n", "$$\n", "\n", "Using $V$ to denote $\\begin{bmatrix} \\mathbf{v}_1 & \\mathbf{v}_2 \\end{bmatrix}$, $U$ to denote $\\begin{bmatrix} \\mathbf{u}_1 & \\mathbf{u}_2 \\end{bmatrix}$ and $S$ to denote the diagonal scaling matrix, it becomes:\n", "\n", "$$\n", " A\\, V = U\\, S\n", "$$\n", "\n", "Then right-multiply by $V^{-1}$ on both sides:\n", "\n", "$$\n", " A = U\\, S\\, V^{-1}\n", "$$\n", "\n", "Since $\\mathbf{v}_1, \\mathbf{v}_2$ are orthogonal unit vectors, the matrix $V$ is an orthogonal matrix: $V^T = V^{-1}$ (as we saw in the previous lesson). The equation can also be re-written as:\n", "\n", "$$\n", " A = U\\, S\\, V^{T}\n", "$$\n", "\n", "Starting from discovering the semi-axes of the transformed unit circle, we finally arrive at another neat decomposition of the matrix $A$: the **singular value decomposition** (SVD). The columns of $U$ are called left singular vectors, the columns of $V$ are called right singular vectors, and the diagonal elements of $S$ are called singular values." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's build these matrices to play with. We can use [`numpy.diag()`](https://docs.scipy.org/doc/numpy/reference/generated/numpy.diag.html) to create the diagonal matrix $S$: it takes a 1D array of diagonal values, and outputs a 2D array with these values on the diagonal and zero elsewhere." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[3.17947611 0. ]\n", " [0. 0.94389177]]\n" ] } ], "source": [ "s1 = numpy.linalg.norm(major)\n", "s2 = numpy.linalg.norm(minor)\n", "S = numpy.diag([s1, s2])\n", "print(S)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To build $U$, we need to first normalize the `major` and `minor` vectors, then stack them vertically using [`numpy.vstack()`](https://docs.scipy.org/doc/numpy/reference/generated/numpy.vstack.html). Now each row represents a left singular vector, so we need to transpose the matrix to get the singular vectors as the columns of $U$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.10653891 -0.99681001]\n", " [ 0.99430853 0.07981105]]\n" ] } ], "source": [ "u1 = major / s1\n", "u2 = minor / s2\n", "U = numpy.transpose(numpy.vstack((u1,u2)))\n", "print(U)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, we can construct the matrix $V$ by stacking the right singular vectors. Computing the tranpose is not needed since we will use $V^T$ directly." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.33873792 0.94088077]\n", " [-0.94088077 0.33873792]]\n" ] } ], "source": [ "v1 = major_before\n", "v2 = minor_before\n", "VT = numpy.vstack((v1,v2))\n", "print(VT)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now retrieve the matrix $A$ by multiplying them together!" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1., 0.],\n", " [1., 3.]])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "U @ S @ VT" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An orthogonal matrix ($U$ and $V$) implies a rotation transformation while a diagonal matrix ($S$) implies a scaling transformation. Let us visualize each matrix component in the SVD. This time, we also draw the unit vectors after each transformation." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_linear_transformations(VT, S, U, unit_circle=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The matrix $V^T$ first \"rotates\" the unit circle, then the diagonal matrix $S$ \"stretches\" the unit circle in both the $x$-axis and $y$-axis directions into an ellipse, finally the matrix $U$ \"rotates\" this ellipse to a new direction. Therefore, the linear transformation by matrix $A$ can be viewed as a combination of rotation and scaling." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute SVD in Python\n", "\n", "You can compute the SVD of a matrix using [`numpy.linalg.svd()`](https://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.svd.html). It returns a tuple: the first element is a 2D array where each column is a left singular vector, the second element is a 1D array of the singular values, and the third element is a 2D array where each row is a right singular vector." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "U, S, VT = numpy.linalg.svd(A)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us loop over each pair of singular values and singular vectors, and print them out. Note that to print the column vector of $U$, we need to use its transpose in the `for` statement." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.1795868015587248 [0.10911677 0.99402894] [0.34694625 0.93788501]\n", "0.9435188240589355 [ 0.99402894 -0.10911677] [ 0.93788501 -0.34694625]\n" ] } ], "source": [ "for u, s, v in zip(U.T, S, VT):\n", " print(s, u, v)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use [`numpy.allclose()`](https://docs.scipy.org/doc/numpy/reference/generated/numpy.allclose.html) to confirm that the decomposition is very close to the matrix $A$." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 1.00000000e+00 -3.88578059e-16]\n", " [ 1.00000000e+00 3.00000000e+00]]\n", "True\n" ] } ], "source": [ "A_svd = U @ numpy.diag(S) @ VT\n", "print(A_svd)\n", "print(numpy.allclose(A, A_svd))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SVD in higher dimensions\n", "\n", "We can also apply SVD to a 3D matrix using the NumPy built-in function `.svd()`. Our custom plotting function lets us visualize each component transformation. Although a little harder to make out, the linear transformation is still a composition of a rotation, a scaling and another rotation transformation.\n", "Check it out." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "A = numpy.array([[1,2,3], [1,1,1], [-1,1,0]])\n", "U, S, VT = numpy.linalg.svd(A)\n", "plot_3d_linear_transformations(VT, numpy.diag(S), U, unit_sphere=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rank-deficient matrix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In our second lesson, we introduced the concept of *rank* of a matrix: the dimension of the vector space spanned by the matrix columns. In other words, rank corresponds to the number of linearly independent columns of a matrix. When the rank does not match the number of columns, the matrix is called *rank-deficient*.\n", "\n", "Consider the rank-2 matrix $\\;N = \\begin{bmatrix} 1 & 2 & 7 \\\\\n", " 0 & 1 & 3 \\\\\n", " -3 & 1 & 0 \\end{bmatrix} $.\n", " \n", "Plotting this transformation below, you will find that the 3D grid lines collapse on a 2D plane: the transformation has the effect of reducing dimensionality of the space." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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XvvSluHC3RCKJMmnSJJKSkjTBFA6Hefnll4f0XvWebG1tZcmSJSQlJXHrrbfyyCOPaHauoaGB3/72t0yfPn3Yc8vMzESn09HV1cX69eu5/vrrBzx++vTp7Nu3T7PnO3bsoKamZljnbGho4Pbbb9dsUWykpz9G8hw5HIZynUN51qi/r9///veaWP/zn/+MTqfjy1/+8pjMXXIYjHZS5mhlih6LPPTQQ1qbiAcffFCcddZZCdsGOZ1O8ZWvfEVUVlaKxYsXi+XLl2tVb33bPdxxxx3a+55++mkxc+ZMrd3DP/7xD+3/brnlFpGbmytyc3NFdXW1VuWm8vrrr4uTTz5Zax00WGFHS0uLduyyZcuEz+cTV155pbDb7aK4uPiQIp/6+nqxcOFCUVlZKS688EJx2223addQW1sbN7/vfe97YuvWrXHXWVtbK/7zn/+I6upqsWjRIrFo0SJxzjnnaBXhfdsGvfvuu9pnGds26Pzzz9eSwJuamuJahvzgBz/Q5vuf//xHa8tRXV0tOjo64lr+PPfcc3EtLa688sohXacQ0ZYfFRUVYt68eeLhhx+Oaxs0b9488cEHHwghom2Dli5dKk466SQxffp08Y1vfEP7niSa3/XXX699/rGJ6Cco4100I4tyxoGXXnpJVFRUiFNPPVVcfPHF4otf/KIwm81iyZIlh7QNOvfcc7X3/e53vxOVlZXi1FNPFS+++KIQItqG5o477hCVlZVi0aJF4qyzztKKJQeyHf1x2223ienTp4t58+aJlStXiieffFJUVlYKs9ksqqurtftePffXv/51UVhYKJYuXSpuvPFGMXPmTO3eHsr939TUJK6//nqthc7cuXPFE088IYQYm+dI7Gfb1z5ec801h7RP2rhx46DXKUTiZ43aNqi4uFj77Pu2DaqurtYq0RPN7+9//7v2+S9ZsmToX7ITi1G1W4oY/fwCmbAgkUjGmuO9U7W0oxKJZKwZVTsqQ94SiUQikUgkkhEhBaVEIpFIJBKJZERIQSmRSCQSiUQiGRFSUEokEolEIpFIRoQUlBKJRCKRSCSSESEFpUQikUgkEolkREhBKZFIJBKJRCIZEVJQSgZFbVoqkUgkksNH2lHJ8YwUlJIBEUJoW3tJJBKJZPiodlQKSsnxjBSUkn6JRCIEAgH8fj/hcFgaQ4lEIhkmqpiUdlRyvGMY7wlIjk7C4TChUIhgMEgwGCQSiaDT6dDr9RgMBvR6PTqdXI9IJBJJf0QiEUKhEKFQiEAgQDgcRlGUQ+yoohzvO4lKTgTkXt6SONTVdCgUIhwOa0awqamJQCBAdnY26enpKIqiCUzVOEqjKDmCHO9fNmlHj2GEEFqER/07FArR0dGBy+XCbreTm5uLoigJBaZEcoQYVTsqPZQSjVgx+cYbbwAwadIkkpOTaW1txe12YzKZSE5O1gSluuIGNHGp/pECUyKRnGiodjQSifDhhx/idrspLCwkNTWVrq4uWltbCYVCpKeno9PpNDsaDAbjFuqqwJR2VHKsIAWlBPg0NBOJRIhEItrPd+7cGXecy+XC7/djNpu1sHisuFTDN+qqO9Z7KQ2jRCI5nhFCaClCsXZ03759ccd5PB68Xi9Wq1XLq1RtZKzABGR4XHLMIEPeJzhqaEatQIxEInR3d7Nu3ToAjB434uAbCMNkwsUzoNeYWSwW0tPTSU9Px263o9frtWRz1ejFiktFUTSjKMM6klHgeH+qSjt6jBGJRAgGg5od9Xq9rFq1Kk5Y9sVoNGp2NC0tDZPJpLVpU21oXzsqw+OSUWRU7agUlCcwsaGZSCRCOBzmwIEDbNu2LbrSjsDePZs5P+tPAASUdLzGKbh05bgN5UQUmzZWSkoKGRkZpKWlkZKSoo0PxBlF1QDqdLo4gSlX3ZJhcrx/YaQdPUYQQhAOhzVPYzgcpqOjg/r6es3LmJ2dTXl5OVu3bqWzsxO9Xk84HD5kLKvVqtlRu92OoigDLtRlHrtkhEhBKRk5fUMzoVCIrVu30tTUBEB7EH6118CUjlr+GHqGnkmALfDp+1EImUpwKmU4deV49SWgRDMo9Ho9aWlp2qrbYrFo54w1hLHhGxnWkQyT4/0LIu3oMYC6KI8Vk7t372bHjh0AmiCsqKggLy+PHTt2cODAAXJzc5k8eTKdnZ10dnbS1dWliU8VRVGw2+2aHbXZbNo5B7Kjqi2VdlQyBGRRjmRkJArN1NTU4HQ6AWiyZHHH1h56QgpTjRPI+68N0+5JfPS5cyhO6yQ5vB1/+zqMgV1ksIsM3kToLPiNFfQwCbe+ko72aEUjgNlsjguPG41GrVm6ahRVUSvDOhKJ5Figb955MBhk06ZNtLW1AZCenk4oFMLpdCbsPWmxWCgoKKCgoAAhBC6XSxOY3d3dCCHo7u6mu7sbAIPBEBceHyiPPRAIyDx2yRFHCsoTiNjQjGoEOzo6qKur6xV4Ch/p87h/QydhoXB6aoQHpkyAFaATENRlE8maR0bJ1xGREMHuevytH+FrW02wqx6LvxYLtQBEDBm4DZU4mIwnUkGz309zczMAycnJWlgnNTVVC7cDsupRIpEc9ahCTl2UO51Oamtr8Xg8ABQXF1NZWcnatWuBQ7dc7PtaURRSUlJISUmhuLiYcDhMd3e3JjDdbjehUIi2tjZNsCYlJcUt1GPHVb2TahcOmccuORJIQXmCkCg0s2vXLq2KO2Iw8XRPGi/v6kCnwBcLIlyYHiLJFP2KKL2J5arBUnQGTBmzMWXMJmXK14gEnfjb1+Fv/Qh/22pw7yMltJoUVgMQMhXjUMpw6SpwO0txuVzs3bsXnU6H3W7XBGZSUtKQqh5lWEcikRxpEi3Km5ub2bJlC+FwGL1eT1VVFfn5+QCabdLs5hBtlV6vJzMzk8zMTAD8fr8WGu/s7CQQCOD1evF6vRw8eFATpKodTU5O1uYK8Qt1mccuGSukoDwBSBSaqa+vp729HQC3xc69OxW2dHaTlWTkmeXTiTR8TCgEYohGRmdMISl/CUn5SwAIuQ/gb1sdFZjtazAE9pDBHjJ4G6GY8JsqcDAZl76Crs4wXV1dAJhMprhVt8lkIhwOs379evx+P+Xl5eTk5PQb1pGrbolEMhbE5p2rC/TGxkb27t0LRAtq5syZoxUlDjbWcDCbzeTn55Ofn48QArfbHRcej0QiOBwOHA4HEBWkicLj27Zto6uri4KCAkpLSw/pIyzz2CUjQQrK45xEoZmamhq8Xi8Auy153FXbgyMQ5pS8FP564QyKUi283di7su4dp6+HcjAMtgkYbJdjK7kcIcIEuzbjb4t6LwOdtVj89VioJweIGNLxGKIC0x2poKUlQEtLCwA2m4309HRtpwn1eiBxWEdWPUokktGmb9653++ntrZWy2/MyclhxowZGI3GuPf156EcSTGsoigkJyeTnJxMUVER4XCYnp4ezYPpdDoJh8O0t7drTgO1zZvX69WcCzKPXTLaSEF5nNJfaGbz5s3Rvmg6PW9FcnhkfbRw5osz8vnNZyqwGPRATGim15AoIzKAekwZMzBlzCCl8stEgm4CHeu18HjItZvk0BqSWQNAyFSkVY97XKW4XG61/SX79+8nFAqRlpaG1WrVrrNveFzu3iORSEZKopZAPT091NTUEAhEu16Ul5czadKkhLblcEPew0Gv15ORkUFGRgYAgUBAC413dnbi9/vx+XxaBw+A1tZWrRtHSkqKzGOXjApSUB6H9G0JFA6H40IzIVMSv29L5p19HZj0Cr/5TAVfmjkhbgzVYER6/1YF5Wi0mdIZbVjyqrHkVUfn42nq9V5+RKBtDYbAXtLZSzrvIDDgbUvBEyjCWX4WHne+lveZqCnwUHfvkWEdiUQyEInyzvfv38/27dsRQmA0Gpk1axZZWVn9jtGffRmDdn0aJpOJ3NxccnNzEULg8Xg0cal23ggEAuzZs4c9e/ag1+vj8tgtFovMY5ccFlJQHmf0Dc34fD7q6uq00Ex3UgY/3hZit6OHCSlm/n7hDObmp/Y7nvh04DGbs8Gaj6H4EmzFlyBEhGDPVvytq+k8+CG6rk+wZndhpYssTw0RXSpe0xR6eqvHW1uDtLa2AtEcJlVgpqamauFw4BDvpax6lEgk/dE37zwcDrN582atU0VqaiqzZ8/GarUOabyx9FAOhKIo2Gw2bDYbhYWF1NTU0NHRQWpq1OY7HA7C4bAmOCFxm7e+C3X185F57JJYpKA8TkgUmunu7qa2tlYLzWy1FPDjjZ34QhGqC9N4dnkVOTZTwvG0UM0YeCgHQlF0mNKm8VZnLjdumUb1wXr+vv9pWuak4i6NYI40Y/OtxUa0HUfYNBGnUo5TV4bHPRmPx8OBAwdQFIXU1NS4qsf+wjqxq3BZ9SiRnNj0zTv3eDzU1NTgcrkAmDBhAtOmTUOv1w86Vn85k2NtR/tDnU9aWhplZWUEg8G48LjP58Pf2+JtqG3eZB67REUKyuOAwUIz6I285M/i6fXRBO1vzy3injMmYRhgJXlIDmXMucYSIQQPrN/PT1fvQQBnleSSvNKIK3ky9VWXMLUsBzs7oiHy1o8gsJ809pPG/xCKgYCpXKse7+kuoKenB+i/KXCisI6sepRITjwS5Z23t7dTX1+veeemTZvGxIkTh2wL+h43GkU5o4E6D6PRSE5ODjk5OQgh8Hq9cbv3hMNhXC5XXJu32F3QkpKSZB67REMKymMcNfTQ0tJCTU2NJpzU1WXAksKv95tY29yBzajn/86dymWVOUMe/0iEvFU8wTDfeKuBfza0Y9ApPLB4Mjd69vZOpDdkZMrCmleFtegihIgQcmzH17o6mn/ZsRGzfwvZbCEbEPoUvMYp0d17IhW0tYX6bQqs7q2bKKwjqx4lkuMbdVHucrlYtWoV4XCYwsJCLe/cYrEwe/Zs0tLShjXu0SIgVQaah6IoWK1WrFYrEydO1LqCqALT4XAQiUTiwuOxbd7S0tIShsdlHvuJgxSUxzB9QzPq6loVk23WHH5Y76HF46Q83crzF81gapZtSGNrhrBPlfdYGcb9Tj+fX7GZT9rcZFoM/OX8qSyYYIe1exPOK/pvHUb7FIz2KaSUf5FIyEugc+On1eOOBqzhdVhZB0DYWIBLX4FDmYzHU8bB3qbAwKDhcfWBo9PpsFgssupRIjlOiM2XVO9zQBOTGRkZzJ49G5MpcXrQcDjaBOZAqJtO2O12SktLCYVCceFxr9dLIBBt8da3zZuaxx7bXF0VlMFgEJ1Oh8lkirOhcqF+7CMF5TFIotCM2tAWwOJuozng5e6P/bSYUriwLIvHz5uG3Tz0X3ffHErG0ACuaXJw9atbaPUEqcqy8rfl0yhOtcQdM5QG6zpDEpac07HknA5A2NeGv23Np7v3+A9iDx7EzrsIxUDQNFkLjzt6Jg7YFLinp4e6ujoURWHhwoWy6lEiOcZRF+Kxi3K32x13TGlpKeXl5YctdI4lATkYBoOB7OxssrOzAbTwuCoyQ6EQbrcbt9vN/v37URQlrnrcZrMRDAb56KOPADjppJNISUmReezHEVJQHmP03a2h7xaK/ggk7X6H+UVreK3YRGvaacyedg7WSD6QPeTzaIZQfT3MxuZD5bnNLdzyTiOBiODCyZk8dnYFyabBk92Hgt6SjbVwOdbC5VHPg7MRf2943N++AZN/G1lsI4vXEPpkvMZKesQk3IZK2tvDWlNgs9mMzRbv2e0vrJOo6lE1lhKJ5OhA9USqC/JIJEJTUxNbtmzRjpk6dSrFxcUjOs9YNDY/WkhKSmLChAlMmDABIURceLynpwchBN3d3VqHEaPRqO05DmjFPDKP/fhBCspjiL6tLAKBAPX19VpvsSY/3LfPwB0OqGjTQ3aAIs97dK5/j07AaK8kKW8BSXkLsWSehKIfPITTN+Q9WoQigh+t3MWjn0RDznecWsgd84rQjZHBUBQFY2o5xtRyksuuRYT9BDo/wd+6Gl/bakI927CGN2BlA/ghbMzDra/AQRkeUUaz149JF30QfPLJJ5oHU20KrD4gZNWjRHJ0k6hP7/bt29m/f3/cceo+2pLBUbtqpKamUlJSQigUoru7W/Ngut1ugsGgtkgH2LRpE5mZmVp4XOaxH/tIQXkM0Dc0Ew6HcToEd50UAAAgAElEQVSd1NbWalso7jRk8qPNDtwRBad7KiXPbcd3w2dxf6YEb8tKvM2rCPZsI9izDce2J1D0SVhyTiUpbyFJuQswJBf3yU+M91Ayih7KLl+IL76+lXf2dmM16Hjs7AouLu+nOfAYreQVvRlz9jzM2fNI5VuE/Z1a5bi/bTX4mkkNNpPK+wihEG5Lots6E1fOqTgdhTidTq3qMTY8npSUpD2kYgWlmn8JsupRIhkv+uad+3w+amtrtW4QOTk5Wl/b0bB1sR7J2EjF8eChHAiDwUBWVpbW9N3n89HV1UVbW5smKn0+HwcOHBhymzd1oS537zl6kYLyKKdvS6BIJMLBgwfZunUrkUgERafnXfJ46JM2BApL0sJ8Y2IxrAZDyEJyyUUkl0QrogNdm3vF5Ur8HTV4m97D2/QeAAbbRJJye72XOfM/vTlHuQ/l9k4PV67YzI5uH4UpZv62fCozs5OH/P6xMhp6cwbWicuwTlzWGx7fia91NZsa/scEz0YMOR6y+Igsz0cInRWfqZIeMRm3oZKOjojmJTaZTGRkZGgC02AwxIV1+lY9AockpUvDKJGMLonyzru6uqirq9P69FZWVlJUVMSbb76pvWekHImtFw+HIz0Pi8VCfn4+6enpmqAsLi7G4XDQ09NDJBKhp6dnwDZviRbqMo/96EIKyqOYRLs1xIVmLDYebbPxxp42jDqFL+UFWZoeweDp/bX2ru4gWhFtzqjCnFFF2tSvEQk68bauwdscFZgh936cO/+Bc+c/QDGQaZyEkTIivsXRAUbBuL6xu5MbXt+GIxDmtIJU/rJsCtnWQcLuqpAd8dmHjqIohKwl/L+GIP9sKOGFDRaWRWrYfl4FSmoblvB+knwbSWIj+CFizMGlr8TBZDyinObmQFxT4NjweN+qRzWsI3fvkUjGhkR9evft20dDQwNCCEwmE7NmzSIzMzNORI6FoBzNsQ+H8faMxp5/4sSJWj/g7u5urbjH5XIRCkVbvKlt3iwWi7ZQ76/Nm8xjH3+koDxKGSw047RlcffWADt7uilINvHnsybjb6wBPs17jBWUfdEZU7BNOAvbhLOiBte1u1dcfoivbS3mwHay2Y6y/TUgHV3ITWpwPQTPGPa1CCF4eOMBfrRyNwK4fnouv148GZP+6BRL7Z4gn1uxmbXNTjItBhbl2rGuM+Jxn0ZP0VROmzudQPvaT8Pj3mZSg62k8gECHSHzJJxKGU6lDJezGJfLxb59+7Q2HGpYx2q1yt17JJIxpO+iPBQKsXnzZq3Njd1uZ/bs2SQlJSV872hzooS8+yP2umMLbzIzM7Wc1UAgoBX3dHZ2EggE8Pl8HDx4MK7Nm7pQV8PjMo99/JGC8ihjsNCMoihstxRw14YOvKEICyem8dwFVdhEgJWNvWOoW4L19lMbDEVRMKaUYkwpJbX8GiJhP5988BdE9wYyjDsBJ0SCFPj+Crv+SlvnFMw5p2POOR1TxiwUnbHfsX2hCN98p4G/b21Dr8B9iybx5Zn5w7+hj5AB2N7p4fJXNrPb4aMiPYkXLpxO+v0rgKhQVxQFvTmdpAlLSZqwNPr7cu3B19bbXL1tHUZ/Ixk0kgEIXRJ+UyU9TMalL6erM0xXVxcQrXqMDY+rYlJWPUokI6O/lkA1NTVaa6DCwkKmTp0aFwVQ7zshxJh6KE9UEgnKvphMJvLy8sjLy0MIgdvt1sRld3e31ibP4XCwZ8+eQ9q8WSwWmcc+TkhBeRSRKDSzd+9eGhoaANAZTbziz+JP66JhgG+eXMjPFk3GqNfhdgc/HUetzB7AQzkQOr2ZYFIVXb4J2EtLgRtAseAwlJIcaSTYs5Vgz1ZcDU+g6K2Ys0/FnHMa5pwFGGwTtXGaXH4+/+oWNrS4SLcYeOa8KVQXDm+nibHsf9mX9/Z1c81rW+j2h6meaOeZZVNJtxg+bZmUIGyiKAqGlBKSU0pInnQVIhIk0FWntScKdm3C4vsEC5+QC0SM2XgMFdH8S1FOS0uw36bA6io7Nqzj8XjimgLLqkeJJJ5ELYFaW1vZtGmTFhZVt1BMxFgIyr6vT1SBORRBGYuiKCQnJ5OcnExRUZGWa6kKTKfTSTgcbfEW2+YtdqGuhsdj89i9Xq+WXmQ0GuXuPaOEFJRHCYlCM5s2bdIqDsNJqfzqgIlVB9ujldHnTuWzU3K198feAEMJeQ8V7fYXOg4mXUtuTjblBeBvW4WvdRXBzjp8ze/ia34XAL2tEHPWfNqcRXz74xQ2KFlMybDy9+VTmZR2aFjpaOEvm1v45juNhCKCa6bl8pszY0LyvZ+jGIKhUXRGzJknYc48CabeRCTgwN++tldgrgbPQZKDbSTzIaAQMpfi6A2Pu10lhzQFVgWmzWYjEomwfv16QqEQ06ZNIysrS1Y9SiQxJGoJtHPnTnbv3g1Ec/HmzJkT1w+xL+p9M5oh7xNVQPZluIKyL7FdNSZPnkwgEIjbvcfv9+P3+2lqaqKpqQmAlJSUQ/LYN2/eTE9PD0VFRZSUlMR5M2Ue++EjBeU4M5TQTFdyLt+vc9PkdjA5LYl/XDSDqj6V0aMtKPvulKNVeaNgyqjClDGDlMqv9gqmNfhbV+FvXU3YvQ+Pex824LFCaNRPY3rFEuyKDSEqjjqRExGCn67ewwPro4VOd59WzLdPmRg/T9VDeRgrV50plaSCs0gqiOaqht378LetjuZftq/D4N9JBjvJ4A2EzoLfVBFtrq6vpLsrQnd3N7t27cJgMJCRkRFX0COrHiWST4lEIgSDQc2OBgIB6urqtH2ns7KymDlz5qBbKMamnoyUo62x+fEmbE0mE7m5ueTm5iKEwOPxaL0vu7q6tBZ7fdu8+f1+AK0oUuaxjw5SUI4jg4VmFEVHjbmAn65tIxgRnD85iz+fN5U0y6E5i7GrqFEVlEJEx+unbVBUMJ1NUsHZhMIRHl65ku6tr3Gr7y08E8OUs5nA9s20bX8EnTkLc878aP5l9nz05ozDntdo4A2F+fqbDfyzoR2zXuGPZ1dwaUWC3YRUD+UIKwUVRcGQXIQhuQhb6ZWISIhgdz0+LTxej8VXi4VaACKGDDzGKfSISXgiFTS1hND3nr6xsZGsrCyt6jFReFxWPUpOBGLzztV/OxwOamtr8fl8AEyePJmysrIhh1nVcUfKeAvI/hive3+kHsqBUBQFm82GzWajsLBQy7VUvZcOh4NI5NMWbwD79u3D5/PJPPZRQgrKcWKw0IzObOE5Zzr/qGtFAe5aUMod80v63UkmzkOpFuWMQsi7d3Atj7A/evwhvvTfbbyxW0elbyEP/mcNwbISun/25V7v5SpCzp14963Au28FoGBMm9pb3LMAU3pV4uIeVciO8k3b5gnwuRVbWNfsJCvJyN+WT2Vefmrig2M8lKOJojNgypiNKWM2TPk6kaATf/s6Lf8S9z6SQ6tIZhUAwS4rbl8hjkln4hWlHDjgj2sKPJyqx9iwjqx6lByrJOrTe+DAAbZu3YoQAoPBwMyZM8nJyRnymGMhKMdi7GORsRSUfdHpdKSlpZGWlsakSZMIBoNaeLypqUlbfDQ3N/fb5i3RQl3u3tM/UlCOA5FIBKfTqbUASk1NjQvNBGwZ/GynoKatg3SLgaeWTWfppIG3ARuzkLcQoNMNuFNOY7eXz/17M9u7vBTYTDy1ZCr8B3RhBUvO6VhyTo9Ox9uMr1dc+tvWEOzeTLB7M67tf0IxJPcW95yOOec0DNYJhz33wdjW6eGKVzax2+HXKrlL7Zb+3zBKHsrB0BlTSMpfQlL+EgBC7gP421bTtn8lkZbVWNI9pLGNNO82hGIiYK6kh0m4dBX0dEeT1Xfv3n1IU+D+qh5VDybIqkfJsYfaTq2jo4NwOEx6ejoNDQ0cOHAAiIqDOXPmYLPZhjXuWIi+oyXkPd4cSUHZF6PRSE5ODjk5OXR3d+PxeMjNzdU6qYRCIVwu17DavMnde+KRgvIIEhua6ezspLa2VqswU0MzzSkFfH9jN52+EDOzk/n7RTOGVMySUFAOsW3QQOOpgrK/ivF39nZx/X+20u0PMzcvhefOn0q+K9oWhz5eTX1SHrbiS7EVXxoT7o3mXga76vE1vYOv6R0ADMklmHNOI6Vr+GHxgXh3XzfXvLqFnkC0kvvZ86eSZh74NlBGkEM5Egy2CazuOour6iewbGcZT+z7B/vnZeEqU7BG9mD21ZFDHTlAxJCO1ziFHlGKO1JBW1to0KbAA+3eI8M6kqMZ1Wvk9Xr5+OOPgWjxhdPpBCA/P5/p06djMAz/EXcihLzHi6NlxyB1HhkZGeTn52tOnr7hcTUXExK3eZN57PFIQXmE6BuaUQkGgwSDQXR6Ax8oefx6dSsCuGpaLo+ePQWrUT+k8WNd7ZFR9FD2vvhUVMXkUj5W08T3P9hJWMDVU3N46MwyzAYduIeQpxQX7v0GkUA3/rY1mgcz5NpNyLUbdhixk0xScBsZgf8h3MmIrKzDujGf3dTMLf/bkbiSeyBiBGV/KQdjwT+3t/GVN7YTiAg+k59K0joDhgNl7J15HqeeXIXBu0ULj4dcu7GFVmNjNQBhUxFOXTkOpQyvt5SDB339NgXub/ceGdaRHG307dMba0udTieKolBZWUlxcfFhP7zV7/doVHnLkHc8R4ugVH+36u9a9Uba7XZKS0sJhUKamOzs7MTj8RAMRlu8DafN24mWxy4F5REg0RaKalgGIKOjAW/7apoc0zHa5nPf4kq+NmfCsL5sY9U2CIiGvEHLZ/SHInz73R08u7kFnQI/P6OUm2YXfDoH9e9hGE2dKS2uWXjI2Yi/dRW69jeAgxiEgxz/vwnV/JuWbdmYe0Pp5uz56Ez9twCBQyu5f3x6MbeePHHon+8RCnnH8odPDnLH+zsRwPfnFXF1WzcAkd78WL0pBYu9GkteNQAhTxP+to96BeYa9IG9pLGXNN5GKEaC5opoc3VdOY6eSFxT4LS0NC2sExseh/iqx9iwjqx6lBxpYvPOVWEZa0dNJhOzZ88mI2NkUY2xCnnL++ToFZR9MRgMZGdnk50dLdL0+Xxxu/eEQiHcbvegbd5OtN17pKAcY/puoej1eqmtrcXhcACw16cQalpDVfEn/LDgE+40rCA1uBD33jNIylt4WJXQI21sDodWeSvRF3T4wyx/qY41TU7sJj1PnjeFs4rT+5nI4RlkRVEwppZjTC3H0DwZ+BEeQwWdxhQy9LuI+Pbj3fsy3r0vAzqM6dMx55yGJWcBxrTpKLpPv9beUJivvdHAS43tWPQ6/nhOBZeUZw1vQsPoQzlShBD8eNUefrNhPzoFfntmGddX5aH8KxrWUwVlX0NosOZjKL4EW/ElCBEm2L01KjDbVhPo+ASTbxPZbCIbEHo7XtMUunurxzs6wlrlY9+mwNHLH7jq8cMPP8RisTBz5swRP8wlkkT0bQkUDAbZtGmTltYBMGfOHNLT+7FFw+B4LsoZb8/o0SIohzsPi8VCQUEBBQUFCCHiwuM9PT0IIeju7j6kzZtqR81m86C793zyyScEAgEqKiooLCwcs2sfS6SgHCMSbaHY2dlJXV2d5un5oFvhkQN6bmvJZ1GLBcecZKAd995Xce99FVAwpVeRlL8Qa94iTBlVKEriELj6JdXa/MCohLxDoZDmcdzlgZ83emkLCMrTk/j78mmUpyfI71QF7WGf/VDC+jRaLReSN3MmaVZ/1BOnFvd01RHsqsO17f9QjCmYs+dhzjkdd8pcrnqrk3XNTrJ7K7lP7a+SeyAG2ClnNAmGI9z0dnSbSotex1PnVbJMLcbqzYdVBeVA81AUPab06ZjSp5NS8SUiIQ+Bjg3a3uMh506s3jVYWQNA2DQRl64ChzIZj5hEU5O/36bAEBWY69evJxAIUF5ezmWXXYbH4+HVV19l2bJlY/XxSE5AErUEUvv0ejyeuGMPJ18yEWMhKNX+wuMt6FTGW9CN9/kH81AOhNpVIzU1lZLepujd3d2awHS73YRCIVpbW7WNSZKSkuLy2FVv5bZt2+ju7mbChAl85zvfYd26dfz85z/nzjvvHNXrPVJIQTkG9G0JFIlE2LNnD42N0c22DSYT/3Sl8cS+aBizMquc7FdWkV50Bf4bP4e3+YPon5ZVBLrqCHTV0bP5D9GwcN4CkvISey9VQTkaOZQqTU1NBMNhzMBdO3U4dYLPFNl58rwBillUYzGaO03E/NtgnYCh5HJsJZfHbHUYzb0Mdm/Gd/AtfAffAuAZj4lX8qpZNvd8inIGbmjcLzEeyrHCFQhzzWtbeHtvN+kWA89fMC2ujZHSm+Tdn4dyIHQGK5bcM7DkngFA2NsSFx4nsB87+7HzDkIxEDSX42AyTl0FTkdBXFPgtLQ0rTGwmhOsPtitVutofRwSScKWQC0tLWzevDluC8X6+npg9Ha2GQtB2dPTw7p169D33r/hcJhAIDBok/XjjaNFUI+mp1Sv15OZmUlmZnTx7/f748LjwWAQr9fLgQMHDmnz5vP5CAaDx40dlYJylBk0NGNL45f7Daw80I1JEXxjQpjLkgvglahoMCRlk1J6KSml0Upof2cN3qaowAx0b0novUzKW4Q5o+rT1bB6kxymoBRC4HK5okNEBI7UEJkBQSgCF+eEuTa1nV2b68jMzCQjIwObzZb4xjwCxiN+q8ObCfs72bjlHbbWv8bZuo2E0wNcxJtQ+yZN9WbMWSdH9x3PPh1DyqShNToe4yrvVk+AK17ZzMZWF4UpZl66aDoVGX2MSh9BOZJ56JNysRZdhLXoIoSIEOrZjq93955A50ZMvi1ksYUsQOhT8Zp6q8f1FXR2RrT2VsFgkFtvvZUpU6awe/fuERvC559/nj/96U9aY+qioiLuv/9+Jk2aNKJxJcceffPOI5EIjY2N7NmzB4g+dOfMmUNycrImKEdLrKiLtdEYT606V8dSc5PD4TArV64kNTWVjIwMMjMztcKO45mjIeQdu0/7WBQYms1m8vPzyc/P156lXV1ddHR00NPTo+1HrrYNBPjFL36B1WolNTUVi2WAFnYJGMxuCiH46U9/yr/+9S8MBgMVFRU8+uijA24/erhIQTlKDCU040jN585aFwdcHkpSzdyS7aI0SSBEbxi7T5sfRWfAknUylqyTSZ/xLULetgG9l3lMxqmrJBJeGB3gMARlKBSirq4Ol8uFNwz37Tfx/NmddNmD/Is/YLFNwx2eQldnRGunoObdqQLTOJrGYphG/bnGAN9amU+O+3K+9vpOvDNy6P5/5+FvXUWgY6PmyYQH0CflRcVlzumYs+ehMw7S2HwMQt47u71c8vImdvX4qMqy8uKF08lPNh96YJ+Q92gZQkXRYUybgjFtCinlXyQS8hLo3PhpeNzRgNW7Fitro8f78nB8ko47axIfmvJ4/fXXtbGuvvpqLrzwQj772c8yb968Yc/lC1/4AitWrOCcc84hEolwww03cO6551JbWztsIys5dumbd+73+6mrq9PsTXZ2NjNnzsRojG6EoEVmRtlDOZLxhBA0NDRoqSM6nY6ZM2fS2tqqdVsAcDgcOBwOrX9srB01mxPYgWOco0FQxv5ex7pjhaIopKSkkJKSQlFREeFwmJ6eHs176XK5cDgcvPjii9pn88Mf/pANGzZw4YUXsnz58kHPMZjd/M1vfsPzzz/P2rVrsVqt3HDDDVx77bW8/PLLo369UlCOAoOHZvTUWSbwkzUtBMKCpaWZ/P7MEurWRlu8CDX3Z5C+kYN5L1PYQAob8NX+A0gl7GrG11HT670cvP2Q2tPN6XTSHIC7dhnpDgZBrwd7kGJDA/gbgJeJGLNx6afgoByPKNPy7hRFIVOvZwEQiSnmGGsiQnDPqj08uCFayf29kyegvK5gdlhJKf9ir1jyEGhfp7UmCrv34dnzEp49LwE6jBkzeivHT8eYPu3Tz2yMPJQftzi5/JXNtHuDnDHBzl+XT8XeXxpBjIdyLNtN6AxJ8c3ofW3429bgb/0IX9tqLPvaqfjIz/7iTtbMv5SFCxeyYcMGvF4vjY2NPPjgg9jt9sMSlBdddBHnnHNOdB46HTfffDNPP/00H3/8MaeffvqoXqfk6CNR3nlPTw+1tbXa3stlZWVMnjw57vs/VoLycD2UoVCImpqauIIhm81GWloa4XCYgwcPotPpmDVrFp2dnXR0dOByuQ7Ju0tOTtbEpd1uPy7adR0NgnI8m6vr9XoyMjK04sWPPvqItrY2li5dypo1a+jq6qK9vZ3HH3+czs7OIQnKgezmvHnz+OUvf8lPfvITLYL03e9+l+nTp1NfX09VVdWoXp8UlCMkUWimoaGBvXv3AmCwJPFXZzp/rY1u7fT900r44eml+HsbmcOnXidVNAyFRN7Lje8+jtlXT4YxmqsZ8bbR/M5V0dzL3AUk5Z9BUu4C9JZDd93p7OzUqszqXDru3WvAHwEwYv9vAVm+Tt7/f8tJTTpAqtgOngOkBttI5QMt766H8uiuLa6oKz3g8/Hhhx/Gey+NCbZXHIghGPW+ldz/d04Fl6T2emdjDIbOYMWSF9Nqx70Pf+sqfK2rCLStJdhZQ7CzBufWP6AY7Zhz5mPJPg1bKBCdyigKyrf2dHHNa1twByNcWp7FH8+uiPbw7AclxkN5JI2g3pKNtXA5Iu88vvjqZia1vs7jvEbEnEVlRTmn/fznLFq0CIDbbruNjz76iKVLlx7WuV544YW416pXMhAIjOwiJEc9fRflakugbdu2IYTAaDQyc+ZMrY1LLGrf1NEKeY9EULrdbjZu3KilDGVkZGgpIn3PoRa7TZ48Wcu76+jo0NrSqLu2qO29VCGSmZl5zHrsjwZBeSQ9lIMRiUTIzs7moYceYtasWQB85StfYf/+/VxwwQVDGmMgu1lbW0tbWxtz587V/n/q1KnYbDbeeustKSiPJgYLzYRTMrlnh+Dj1nbsZgNPLpvGssnRljVxjcj1iUPew8GQlI076XQ6lJPILcuHx7+B3pCOKW1iNPdy36u49yXOvdy//yCbN29GCMF/uk383361CEZwc5mVzNVmdE4FrzIFkbaYspNPJuzei69lZTSE3L4ek28L2WzpbUuTTvNZbgytBkL+HpqbA9peqampqVoCs7pX6lDoby/vVk+Az/17C+tbopXcf79gGnPzUqD3fAxgMAy2QgylV2IrvTJa3NP5Cf7W1fhaPyTUsw3fgf/iO/BfMr12dOjI9L+G3rsAEa5A0R9+OOpvW1q56e0GQhHB12cX8IszSgdvmN4rqiLj0Fi8xx/iilc281GTgzJd72LEEv0e+2IWRt///vdHNS9n9erVFBQUsGDBglEbU3L0kahP75YtW+I6DcyZM6ffHN3RbEQOhy8o29vbqampiW5UodNRVVVFMBiME5T9jd03787hcNDR0UFHRwdOp5NwOExbW5vm9bTZbJq4VHdtGQrjXRQjBWU8sXNRvfCf//znqa6uPuwxY+3mK6+8AkBeXp72/4qikJuby86dOw/7HP0hBeVhMJTQTLt9Irdv6KLDF2R6lo3nL5rB5PRPDWLCnW2G4aFMhGasevsw6oxpFJz9d0K+NrzNK/E2fYCvT+6l0KfgUMpIDU3ir22VPO3MQegNmHRwx8QQy0qSDmlsrigKhuRikpOLSZ58NSLsw9++AX/rSnwtqwi799BTBdBGuetHhMzl9ChlOHWVOHoKcDgc7Nq1S9vKSjWMQ6l4jDVEWzs8XPHvTexx+JmSYeWFC6dRnNq7ch/mw0XRGTFnzcWcNZfUad8k7GvvrYReBSKampAR/gDR9AHN/3kIU9YpmLOjoWF98tB25RBC8NuPD3DXh7sB+OmCEr550hAb2I+Th7LNE+DSlzdR0+amPD2Ju0ry4D0I93qaY72HSUmDbxE6VPx+P/fffz+/+93vhu/VlhwTqAvx2EW5x+OhtrZWK2YpKChg+vTpWnV0IkZbUA53PCEEe/bs0bypZrOZk046CbvdrkWqhiPk1CbZdrudSZMmEQgE4ryXwWBQa6qt7jmdnp6uLdSHch+Ol6A7GgTleIa8+6J+x0IxzqSRFDf2tZtq/UbffFyz2XxI263RQArKYdLfbg2qMTEYjKzU5fGrVS1EBFwxJYfHzpmKzRRvEON2thliDuVgaIawd2y1sbnBkk1KySWklFzSm3tZi+vAu3TtfhNjYA92NmJnI9/JgkuteXygnMKiSafic1nVyUb/iqmOi7sWvQVL7gIsuQuwz4BQ2za493rcFTo8xWGM/m1ksY0sXkUY0vAYp9ItynCLClpagtpWVikpKXEVjzqdrt+Q9//2dnPta9E9uRcX2nlmWZ82Rur7DnMFqrdkYS1cjrVwOXr9BYCLVst5pBt2YfA34m9Zib9lJQ5An5QfLezJWYA5ey46Y8oh40WE4I73d/JYTRMGncKjnynnqqk5Q55PbNugI7WqPuD0c+G/6mno8jIzy8ZLF08n852o10gVlKqH0mKxjOq8vvrVr3L55Zdz2WWXjdqYkqMHNcQdmyrU3t5OfX29tnXd1KlTKSwsHPShP9rNwoczXiQSYdOmTdqOPXa7nTlz5mhhx75jHc5cTSYTeXl55OXlaU21VXGpVg2r3kyICpJY7+VAYvxIczQIyqPJQ6lW/cdGekayMO9rN1Vxqjq6VPx+/5i0J5KCchgMFprRW1N4rN3Gip0t6BWF+88s4+aTEm/xl8hDqYyah7L/PpSKLprvuKnbidc8jYMRJ6vaG7ml51XsuV2U2popZQU0ryCMlXDTLEQ4upJRhpinZLBOJKXWgv1gFq6/P0eg4+PeQpiVhJw7Y/ac1hEyT6JHKe/teViI0+lkz549GAwG0tPTKe7qYkKf8Z+ub+bWd6N7cl83PZcHF0/G2HdPbnWeo2G4eg1Qh+UsjPn5TCkvwt++VqsYD3sO4tnzIp49L4Kix5Q+s1dgno4xbSqBMHz1ze38s6Edm1HHX5ZN5TP97S7UH04xXWQAACAASURBVDEeyiNhBHd0e7nopXr2Ov3My0/hhQunRwV7r2EK9y6CVENlsVhG7SFxxx13YDAY+NnPfjYq40mOLhL16d29ezc7duwAot6TOXPmaDs1DcZ4hbz9fj8bN26kuzvaTziRN3W0hVNsU+3S0lKCwaDWkqajo4NAIIDH48Hj8bB//36td6yawz7eIW8VKSjj2xfFRnoOV+glsptq66Dm5mYmTpyonbelpWVM2rFJQTkE+oZmwuEwXq+XmpoaLfk6YM/lR1v8bOvsJMdq5C8XVLGosH/REHtDjUYOZeyYWgg9wXgtLS3U1tYSDof5yKnngX2ZBCOZXLG6gZNbttLzy/+HL62Vrl1vovftRO9aTTiQigE9Ez2P43HOJtBpxpg+QOV4zF7eit6EOWc+5pz5wLeje063fqjtcmPwN5JJI5n8R+t52C3KcEem0NYWwrB/PxPo/R0I+Oma/TzRGA2H3bOghFv6CxmrRmOUBKVQFFC3zDImk5S/hKT8JdHvg3tvr2D+kED7egKdGwl0bsS59VEUfQprHJMIe2dSaZvB/11wOnNykoc/h97FhjgCIe9N7W4u/lc9LZ4gS4rSeO78qdiMvf0vewVkpI+gHK3V7n333cfu3bv561//iqIobNiwAYCTTz55VMaXjC99886DwSD19fW0t7cD0SKWWbNmDatlzngIyp6eHjZu3Kh5lqZMmUJxcf+pL7Fblw429nAwGo3k5OSQk5ODEAK3262JS9V7qbaoib02dTeX0dpdaKgcDYL2aAl5x35fRyoo+7Obs2fPJjs7m/Xr13PKKacAsHXrVtxuN2edddYIr+BQpKAcBHU1HQgEiEQi6HQ6Ojo64kIze1MKuXNtG65gmHn5qfz1whlMSBnYIMZtlXgYVd79jQmgfU1jPJRCCHbs2EFjYyNCwPOdZv7W1NvcVYEZuakozQpWcxlJVVfRYljKvp215FsPophWAF4s4SYMrgO0f/AqitGOJee0aJg3d0H8rj0xgrIvBmt+/C43nTX4Wz6MFsI4tsf0PFQImUuJpKXhzQ8RIMKv9xlY5XBiUgQ/mmrl8jwFn8+XMESgmYnRWIGGw5/uj55gb14tn3TSVYhwgEDnRnytH+JuXoVwNXKqrYZTbTXR699UgaMtGh43Zc5G0Q0tP/BIhbzXNTu57OVNdPtDXDg5kz8vrYyvPlc9lEYjOp0Or9cLRMM0IzXOjz32GM8++yyPP/44H38c3bt8xYoVlJSUSEF5jKMuxAOBgGY3PR4PNTU12neopKSEioqKYX+/R6NvZKLx+hM/TU1N1NXVEYlEMBgMzJo1K2H1eaKx4lKdRrmlmqIoJCcnk5ycTHFxMaFQKM576ff7tXk0NzfT0tJCWlqaFh7vd4OKUeRoC3mP5zzCMc/n2JC0zWYb1jiD2c077riDRx99lGuvvRar1coDDzzABRdcMOoV3iAF5YCoXkm32837778PQHFxsbZbg8Fk4vVQLo+silYUf2XWBO4/s3zA9i+x6HS6aGHPAB7F4XCIh7L3C6s2K29pacEXgd80JbGmK/p/qSY9/758NkWPvq1etDZeWJeKP2UyeusGYCcHTdditrWQZdhNsGcL3gOv4z0QbWxttE/DnLsAS+5CjJbJ0QEGWY1GC2FOwZx1CqnTbyHsbe1t4/Mh/raPMPh3QgrsvRJCgVVcHnRRkjKVeVnlFOuCbNsW3WnAarVqIR0tZ2g0PZThcLQXJ4MbIEVvwpw9j936GVy69gz8nha+EFnF19O3EMnoJOTYjsuxHVfjUyj6JExZc6O9L3NOx5Bc1P/ARyDk/f6+bq5csRl3MMLnp+bwyGfKMej6COgBBOVIcDqd3HTTTUT+P3vnHR/HXaf/98xsX7VV77JlSZbcS5pjO04gvRNCcKjHD7gj9BK4H0cOOEI5SDiO43dACi2hBAIpOIlJCEncY8dVtizLkm1ZbdVX2l5mZ35/zO5oV151OXYcPa8XL2JLnp2dnf3O830+n8/zKMoZnpO/+tWvZnTsOZxbJFoCvfLKK0SjUSoqKmhvb0dRFCRJYunSpUmTqFPBbCbbJB5vNEGNm5XHp2PtdjurVq0alwCMJpBvJgwGA3l5eeTl5aGqqk7gg8GgLma4XC5cLhcnTpxICqhwOBxnZRjufCKU4llKPpvqeUAyoZyKJdRk1s0vfOELeL1e1q5di9FopLq6mscee2yGZ58ac4RyDCSWZhIRJ5NimoMHOgxs6ejBLIn85JqFfGhJ0ZReI04oo7NU8tYX1oToxUSz8t4wfKvDSodfI5M1Disv3LWS0nSLruQJioJK8s46rs6FpFKCaZdRd9ll2hR0707NOqhvF5Hho0SGj+I9/ggimWQgokZDRIMDKX0vU0Gy5mOruB1bxe2EImEe/MffmNfyDNebDkGBzI2m/dxo3w8KyOEKPEINbqEGv28efr8/aeKxyO9nQeK1mAEERdFLvJNZgHY73dy16SiuoMzVtjT+44l9mG65keD7P01k6KhuTRQZPEyoZyuhHm2zItlKMeevwZK/FlPuxYjGhAfVKGPz2cbmkwN8aPMxQlGVf1lexPevqExtZRQrzUQNBiRJmjWFMj09PWnHPocLA6P7zuP3SGKE4qpVq0hLm0YbSAxvRsl7tFn56LSeifBmKJTjQRAE7HY7JpOJYDDI/PnzSUtL06fHA4EAoZAWThEPqEi0eEtLS5uVcz0fCOX5cA6QrFDGWyemuo5OZt0UBIGvf/3rfP3rX5/eiU4Bc4RyFFJZAvl8Pv3nQjSKVXXy9T0hXlfSKc+w8MfblrKy4MzJ3omgE8BZLnmr8WPKMjt37iQSidDoF/l2mxGfrN18Ny3I5bc3L8Ya643TS8OxRTnpph5lGwSxKejyW7GV34qqyIRdh7XeyJ4dyAONgAM14qXnxXcmqJdrMTqWTpjaMxiM8MHnm9jWmc2dnZfwiT2n2FS3BMMtZVRl9sDwPgyh0zg4jYO/o4o2QuY6htQFeKWFDAwohHt6WAB4vF5ONDXpu+4pTzzGU3ImqVC+cHKAf9rcRDCqcHdtPg+Fm0mLhgkbDAiChMmxFJNjKekL/xkl4ibUtyfWU7qLqL8Df+uT+FufBMGAKXs55vzLseSvxSqPEErDLCuUf2rq5V9eOk5Uha9cUsbXLi0f+30mDOWIoqhbT8ymZdAc3vpIZQkUDAaTHn4FBQUsXbp0xn18Z7vk7fP52L9/v/4cmD9/PjU1NZN68M92z+RsQRRFcnNzyc3V/GT9fr9OLl0uV1Le9MmTJzGZTLrFW3Z29qQs3lLhfCBziQrluUQqhXI2hxvPBeYIZQJSRSh2d3dz9OhR/XeGXAMsNP8XvywQOWRazZplN5GbWQ1MnVDGb5xoXB2cpZK3rirKMpFIhJeHTfy0HZSYXfm/Xz6Pf1szPzVpHEUoVVUdsQ1SFJRUtkGiAXPOSsw5K6Hu00TdTvh/70MQTAjGjCT1UjBm6CqcOf/M1J6TQwHu/OtRWoY05UuIvd5Ss4FD5osw1a7A4cjUlL6eHQR7dxJxHcYS2EchWiNy1FRKyFyKryxCVNBsnTo7OxEEQZ94zMnJwWazTfzljT0A40rneL//6yPdfP7VFhQVvri6lG9cXoFx0zHthymIrGjMwFp8Ndbiq7V7z3tKnxwP9e8jPKD9z9P4E2wDDgyATT1GVB099z59/OKwky++egIV+M66eXxmVem4vy/EdtJRoxFJkqa9s57DhYtUlkBDQ0PU19frhKKwsJDly5fPyj0z2yXvxLUvlVl5cXHxlI+V6s/nE8m02WzYbDZKS0v1vOm4NZHP5yMc1sIpEgMqEi3eJh1QcR4QyvPhHCA1oTwbVj5vJuYIZQypIhSPHz9Oe3s7ABEFHnFKGHv62WCXCBZFWckbBOvfoKP+m5gci7EWXYGtaAMmxxIEYeLdT3whjBPK2VIoe3t7WQgYFIVHeiw836fduCZR4Pe3LuHmqhQN5GNYDamqOlIOH8OHcjQkaywNyGCj8PrNSeplZLhRT6ABktTLfYFyNj7XhCs0cg7vXZgPbyR/+ZOUvtpPoISHtKzpXi25h1AHNqmDjneDIB9lvvxYTL2sxeXS+oZaWlowm806uXQ4HKmVkoQc78RrPPoafW93G/+5px0B+MGGSj6xvDjpeqoTKKOCIGBMr8SYXknagg9oZvED+3WCKcj9gESe/Ffk9mfoc9dhjg1FmbKXTXq4JxE/2tvBN3a2IgD/844q/mnJJHrY4ok9oxTKt/pCOIfZQSpLoI6ODo4fP560dmRnZ8/aA/1slbx9Ph/79u07w6x8Osc6n8jjRBidNx0IBJLUy2g0itvtxu1209raisFgSIrXHW9C/3wgc+eLQhlX62d7uPFc4m1PKMcqzRw+fFj3FyMzj3/b76I5ILJEnUfFnzKI1M3D/e8bCTi3EujeRtjVQNjVwPDRnyGac7AWrsdWdAXWwrUpja4hRcl7hgpl/Mvqdrv1wZzNvTIIIvk2I3+7ayWLcsfoVYqfwyRL3uMi0TZotHoZ772MlXkT1cusqI2fG4r5g+Ey9oSX8P1rLuLGtolznEVTFtbS67GWXo+qKkSGmwg3PEvk0J8JFMmYAwcp4CAFgGIqwivVMkw1frWSrq4QXV1dejpFfGHUe4biD6kxCKWsqHzx1RZ+3dCDSRR45LqFvKs6N+EXYp/pFMt6gmTBkq8l8QAYfnE30I3bvAiLeJLIcCOR4Ua8zb9EMNi1lJ/8tdpwj318BVNVVb616zQ/3NuBQRR45Noa3l2Tekr1jPOK7aTl2FBOorH5HN7eiNsAJa6pjY2NSaqWoih4vd5ZI39w9krecUu40Wbl08FYPZRvBVitVkpKSigpKdFL4XH10uv1Issyvb299Pb2ApCWlqZv1PWAilGYI5TJ5zFbw43nGm9rQpmqNONyuTh8+LDuC+VylPGVvYP0BUTKzAoPb6iCF0DyKaRV3EJaxS2x9JlDBJxb8Du3Ehk+ju/0M/hOPwOCAUvuKqxFV2At2oAxvVL/Mo0uec+EUHo8Hj1DvD0IPcv8pAdkSoQBCgoX8Oy7l5NjHUfFmkzJe5IK5Xi2Qal6L189sBlpcBeLze0sz21hOS0AGDvqCHSWo33FJrf4CoKIKasOS66I/ckXCV20hOEv3KpbExF0koGTDF5FFUyELbUMqwvwSLUMubTSXGLPUJ7FQjoJZvEJ8Eei/J+/NfHCqUEyTRK/v7mO9aXJZszCNAnlGe8rqr1/p/1usivKqC5WY96XO4m4Ggh2v0aw+zUAJHu5Pjluyr0Y0TCySCmqype3nOSReicWSeSxG2u5fn52qpdMjQQfSkPCUM6cQvn2RWLfefy/4xGKcVJWWlpKXV0de/fuBWaP/MHslrxDIW2DGcdkoh/Hw3jE6a1CKBMRH3p0ODSP5VAopJPLwcFBZFnG6/Xi9XqTAirOJ2P180ElhRGFcjaHG8813raEMlVppr29nebmZj1CcbehmO9sd6KosC4LPlUkUxbL405MtRFEA5bc1VhyV+NY+kVkfxd+51YCzq0Ee18n2LeHYN8eXPUPYrCX6uRSFLQbWyFGWKZZ8o6blSuKwh63wH+1i1xzkQe/WeXv/AeGjGrElg0EC6/AnLMCQUzxsY9X8o4PpExDoRwPYUXkM/tsPHHsCuAKckU3dwm7+Xz4H6gLRa087mwB0siI7KM44CLa00PUdu3Ek+OxB5akmLAWX4O1+BptA+FujqmjOwgPHMQcqCefevIBxViAz1DLEFX41Sq6u8MM+P1UAtGERANVVRkMyrx301H2dHsospt46rbFLM5NYR8Sv54zjT9L9KGUjJiy6zBlL4fae1DCw4T6XtcJZtTXhu9UG75TT4BoxJS9EnP+Ggy5l/O5PfBEUx9pRok/3bKIdaVTLOEl2AaZLqCd9Rymh1R95319fTQ0NCDLMqIo6hGKMPvl6dk85mizcpvNxtKlS2f0gE/cmCcam59rzNZ5mM1miouLKS4uRlEUPRZyYGAAj8eDLMv09fXp0/Hxqfj4s/dcqIRzCuXZw9uSUE5UmjHaM3ik384zJ5yIAnxvQxUrvCcIhRix+AmPXYo12IrJWLCRjAUbUaJBgr17tNK4cwuyrwNPy+/xtPyeQsFEmlSN2nuVpmBNkVCONiv/84CB33ULGFAwb83BXOLGuyIN2d3MsLuZ4WOPIhozsBSuxVZ4BdbCdSPEbIyS92wrlHEMBCK8//lGdna59b9bWlLOtx/5GVmyDc/nXiAydATB/QSwGwGZDPkgkeMH6Tn+fYyZdZgLtMEek2PpmSQ5RfSiIAgYM2swZtaQXv0RlIiPUP9urU+xZwcEnKRHekhnC6pgIGJeiFctJ5QdRVa043R1ddHQ2cc3T0mc9ivUOCw8ffsSytLHKIfFeyhnqlCO40MpmjKxllyHteQ67QHvOaG3FYQHDhDu34Onbz/3HQyzKXsxDqPKU3csYfU0nAlGT3nPKZRvX4zuO4+vR6dOnQK0NoiVK1cm9R2er4Qy0axcFEUURcFsNs8a8Xorl7wnC1EUyczMJDMzk8rKSsLhsN57OTg4SCQSIRJ7xg0PD7Nt2zYcDofeZvRmkanzhVDOKZRvcaSyBIqbvcYtIeSsQr7aGKRxYIBcq5HHb1nMVeXZbN3aCkyOUCZClCzYiq7AVnQFqvo1Ip4Temk82LePdLkBTjegkIUUFXDV/whr8ZWYc5aNa6+TaFYeUuAnPVa2D2g3qFGUKOjNxdoQJfi5TYSVDgLOrfi7txIePIK/fTP+9s2AgMmxBFvRFdjNA9hRx+2hnC2FsmUowHv+2sCJoaD+d/+0uIAfXrmArJ9phEUQDZiyV2AoGQR24zZeRJelhLL0HpShvSM9hMcf1SbH8y7DUrBuZHJ8ElneotGeFKEoe08R6tHUy9DAPkzBBrJpoPVDgNdPXuBPtCqLuK+jls6IjVqbwtcK3HQfO0wkVtI5o2coXvKe6eIVj16cwIxXEASMGVUYM6pIq/oQihxgsHsfH3t1iO3ZWRQF3Dx99QIWTYdMAkLchzI25T1HKN+eGB2hGA6HOXLkCAMDAwDk5OSwfPnyM+xl9EHEWfQcnUkPZSqz8vz8fE6dOjUrhO98G8p5M8/DZDJRWFhIYWEhqqri8XhoamrC49Gic6PRKP39/Xrsps1m08mlHlBxFnC+lLxTKZRv9XX0bUMoU5Vm+vv7OXz4MNFoFFEU6cwo5yt7evCEo1xcmMHvb11CWYamPMVv7iixIZpJEspECIKAKaMKU0YVmQs/yr7dWwj27qLI2o4qHQRg+OgjDDc9og2aFK7DWrQBa+FaJNNIb16iWflABO7vsNLq0xboAqPCI2tyMe/WSguComLOXoo5eylZiz9FNDhAoHs7/u6tBLt3EHYdJuw6zFABSB8XsAb/gLVdRIiW6ddN7x+crEI5ctHP+KsdncPc/dxRhhImue9fO4/PjpXJHTuGIhhxGy/GVLeSrMx0IkNHCPbEJ8ePEux6iWDXSwAYM+tI9y7Erl30SZ1q0pR11QdR5AD7jr3GwX3Pcjt7iGTJ5Mivk8Pr/K1I5IRShcO+EL+wEI+7CI/HkzTxGF8YTfEH50wzc2VZy3wXhCntrIdlIxt3prPHBfODbl7e+ij5H390kh2pKTBGUs7cUM7bA6k25R6PR09gAaisrKS6ujrl9zm+jp4PPZRjmZV3dnbO2jm+VWyDzjbiRunp6el4PB7y8/PJy8vTFcxwOIzf78fv99PR0YEoikkWb7Op3J1vCuWFtI6+LQjlRKUZo9nMS9ECfrxda8b+6LJi/usdNUkRikllFZMJgkGN7Mykv8aYjse4gtyydyHZvgyBAbKqPobftZPw0FF8bc/ha3sOEDHnrsBatIGIbQX1x4eJyDLHAyL3t5nwRLQbc02uic/meSm0iCMl7FFKgGTJIW3ebaTNu00bJho4SKB7K4HDTxG2D+JV9uN9fT8gUi7NQxZWokZHPCEnuwimGmL5Q2Mvn3r5OHLsEBZJ5JHraritKveM3x33usXUS1P2CqjTSLJmrxPzpRxuJNDZDKQT6t/D4BtfwVIQ972c3Gv9+YSHe17LoNhzE198qYnO+Q7+bf0q1lqPcrm1hVrpOASPA5tQDdn4TXUMKQvwqQvp7ZX1iccVHR1UAL5wGMN0e4ZUFSESIRqz45jsMXr9YW5/5ghH+v3UZtt4afOjlPldeKZpSgwJPpSxkndiv9kcLmwk9p3HN+VOp5PGxkY9QnHZsmUUFBSMeYzzpeQ9nln5bA75nG8K5blG/DpIkkRBQQEFBQWoqorX69XJ5fDwMIqi6IM+zc3NWCwWnVxmZWXNyAz/fCGU8fO4kCo9FzyhnKg0Y8jI5ocdBl5p68YkCfz3Oxfyf5adaVw7mlAKgYBWzpxB3mlSqSZ2nKyaj5GV8UXkQC+B7m0EnFsI9Owk1L+fUL8W/F4uZNE2VM6LwcuIyLWAiS9fWsF7s4N0tHuTBmlGE8qk1xcNWPIuwpJ3EbnbLKjPPo7741fiK/IQ6N6JLXoS3CcJu9IwYSQ7+Apy+BIUOXlyeEzEPRxVle/ubuP7e9r1H+XbjDxx8yIuKpyg9DoZ30tLDrbyW7CV34KqRom4jqBsfwZ4DZXIGerluL2XwE/2d/C17a0AfHZFIbwEfYNmHvNcSUbp7bz3qgWEBw/o5XHZ24pd3oGdHYCIbKliWKjBLVQjB7WFoq2jg85Yz1B84nHSPUOxsvlk03oA2j1Bbn36CCeGgqzMT+Op2xZT8ueYDdYMCCXhsKaUiiKSJM0l5bxNMLrvXFEUmpqa6OjoADSrmBUrVkwYoXg2COVUS94TmZWfTRL4dlUo40hVbhYEgfT0dNLT06moqECWZVwulz7cEwqFCAaDKQMqsrOzsdvtU1Ivz+eS91t9Hb1gCWWq0ozb7aa+vl5XVYLZpfzrQTen3V5K0808cetSLirKSHm8MxRK0MreMyCUiTth1WhEAL1XzmDNJ33+u0mf/26ikSDH9z9NwLkFu9yIWe1jQeYQ/5tZT1AxEspcxfyia+jylejHY6relqKI0SuSoa4ibe17ON3awukjz+MQWxCMh4Ao6ZEGDL5DdG/+NeacizAXrMNSsB5DWvmZxxMEUFWCssInX27mz8f79B/VZdt48tZFlGdMQd6fdOlawpS9HKlcBV7DnH85WSuviKmXu0b1XqZjzlujq5eCOYevbTvF/x7sQhLgx++oYrhFU7FlQeRTxTKfWuRANFgTPCK/jOzrjMUn7iTUtxtD8Dg5HCcHiF5ixulQEdNbIVJFf380qWcoviiO2zOUMJADE++sm10Bbnv6CB3eEGuLM/jjLYvIMBv0/sdp37PRKEIkghwrywiCMKdQXuBIZQkUCoU4dOgQbrc2UFdYWMiSJUsmpRqdTYVyIoKmqiqnT5/m2DEtvWoss/LZJJTjHWuOUKaGwWAgLy+PvLw8VFXF7/fr5HJoaAhV1cIp4jZ5ZrM5yVh9ovvwfFEoE0veF8o6ekESytGWQKqq0tXVxbFjx1AUBYPBQJOtjK/tdBKUFa4qd/DYzYvJs42t3CQ1k8cfyOEw2FNYxUwSSYtr/EswatI7HA5z8GA9gy4HXuPtPND/Poa8XVxtPsTHlG1kFbixeHYzeGA3FmC+WIDadxGKGkREyx6f1LIVH7yJD+WIJvyGhQj2VZjyLNC8kyHjWmRDD3blBKG+XYT6duE+8oDme1iwDnPBesw5qxEkU4xQwq1PH+F1pxsBzUnyqrIsHruxlkzzJG+96S668QeWZDpDvQz27CDUu53IUHLvZacwD+NQDWtsS/nMVdfxbIuL+sNO/g0osopck536IWiwl2CYfxf2+XehRsOEBw9qqT09O5A9J3AvAgtbqfZtQ7YswCNUMyzU4PeV4ff7aW9v1/3d4gtj0sIStwyK3SPjLYT1fV7e9UwDfYEI11Q4ePzGWmzGkUEy1WicfptGPCUndv9fSKWaOZyJVH3ng4ODHD58mEgkgiAI1NTUMG/evEmrPWdjKGcyJFVRFBoaGvT+yPHMys8GoYwf71yrYnGc6/OY7OsLgoDdbsdut1NeXk40GsXlcunl8UAgQCgUwul04nQ69V7NeHlcD6hIQPw+OdfXILHkfaFUei44Qjm6NBONRmlqatIXErPNzp98Dn61U/vzly4u5z/WV2KYYLeS2EyumkyamjiNwZxEpCp5JyqKHo+H/fv3EwgE6AzBt9qt9ARlUPP41EvNLI/aCT33IoHeXQScW/C0v4JZ7oGh54l40zFgYGD/9zCpN2AtWo9kHsfAehJJOV5pKQP2d3HFuksJ9+8h2LONUM92zffw5O/xnfw9gmTFnHcp8pIg5pMGXndqKoYKfGRJIQ9uqMQovQk7w/jDIOFzjauXpuzlUPdJoqFBQr078Ti3Mdy1gxJa+URmKx9QtvD5l4NsD9VxuaQ9+OzGsaMXEyFIJsx5l2DOuwQWfxHDg/9O6PQ/cN9QRVA9iSHYgoMWHGxGldIJmhbFYiEXMjCgMDAwQHNzM1ardWTXHXsvE5W8dzvd3PlsA8PhKHdU5/LwtTWY4tc6GtU2FzNo+tYnvBOI7YVSqplDMlL1nZ8+fZrm5mZAm+BdsWKFHs83WZyNoZyJSt6hUIgDBw7oyWclJSUsWrRozIrAbCbvjFfifjsrlNOFJEnk5uaSm6v1wvv9/qRYyHiSz/DwcFJARVy9NBqN+jmca4UyUSmNK5Rv9XX0giGU8XJMPMhekiRUVaW+vl4vzYhZ+XzzhMJuZy9pRolHbqjjXTX5kzp+ypL3DLO3k0o1sYe0IMuoQHd3tz6BftAn8b02A6HYrn5jXT4rn3GiWq2IRjv2kquxl1yNK+MDdDRvI9/UimDaAYQJOXfglrcCAqbspdiKNmAt2oApqy51vGIqH8pR0YuiwYqlcAOWwg2672GcXIYHD2qpLVcCV8Kz4e+yNbCYCnV3JAAAIABJREFU6up3svGSCsQZkslJ7yonYRskmbMZclzDu7cW0zhwE9c6nPxrTT+fqS/iSCifYmmA72c9DIAx2kFu6AXwRlGV/NTm8ClgCFmwHjFj2vgvyGsuITxYHyu/70AebsIa2I2V3QDI5vl4xYUMU03AX05nIEBnZyd2j4erGUlUSnUNXm0b4u7njuKXFT68uID/vqoKSUz4vbjt0Ez6J+MDObHNj6qqeqLUnEJ54SCedBMMBjVnCpOJhoYGfdBsJlGEb3bJe7RZeW1tLRUVFeOuI7M5lDMa51oVO9ckdrb7F202GzabjdLSUqLRqB4LOTAwgN/vJxwO093dnRT/GVfHz/VnkWrK+62+jl4whBK0D+jw4cMMDAxQWFjIwMCAXppxZ5dz7xsD9PjD1GTb+NNtS6nNmXy5OhWhFMLh6duvjD5mjFCq4TAtLS26Wflzw2Z+2aGioiIAP7iyik+vLkP9gXTGwI0gSoSkUvxZyzHlDEHbAbLqPo3H0kSgZwfhwXrCg/UMNfwEyZKnJ/ZY89cgjUrKSUUoU015J/oepld/hD8ePsFTu5/nof7fEyoPsdDexUJTF/T+nZ4X4z2L6zEXrB1fMR2FKV/nURncqXBswM8dzzbQ4Q2xMj+Dezes4CMvHqc1EGSp28kf/X/CcfFCoAFBCJEbfhkaX6a7JV3zvcxfq70Pyzg52AnRi4JoxJy7GnPuajIWfZZosE8zIO/ZQahvF4bQKbI4RRZ/Q5XshMyLcCkLUEPa1GycUJ44cQKPx0NOTg4Oh4PNp4f4yOYmworKp1cW8511889cLONq+kwIZULsIqCbFIPm3zeHtz7iG/MTJ05w+vRpsrOzCYVC+jR0eXk5tbW101Z33swp70SzcoPBwIoVK3RlazyczZJ3Is41uTsXOJsDMZIk6ZZt1dXVBAKBJPUyGo3q4hJo94csyyMWbzNZG6eBuSnv8xhxu4f4jaqn3hhN7DUV862tTqKqym3VeTxyfR0Zk+3hiyGlQhl7wM7knPVjxlSf40ePctJiIazAz3ptvNqvERKrQeTPty/lnfNiyTYpknWSFsJYOceWvw7r4n9BVSKEBg7id24h4NxCxH0C76m/4D31FxCN5J+ejwOIBl1Jx4r9Qfu/8XqUVJVv7zrNg3udwCqyX34OSzTC64/+gPmRfQR7thMZakjoWRQwZi2Kkct1GLMWIQizWIKYYLHe1TXMezdpfphXVzj40upSNj7XSH8gwhWFdv666Rek52UT+MAngU8RNFbQbyoh19iK6msm2PV3gl1/B8CYWYs5fy3mgnVnTo6PE70oWfKwld+GrVyzcNK8NXfq/Z0W/xsU8QYmrwhkIqtubHILfnU+XV1ddHV18eqQyE86DCjAvSsLuG9t6n42YRYIZfwYcoxQhhLu/7e6f9ocNAiCgJSQxuRyuVBVFVEUWbx4MSUlJTM6/ptBKFOZla9atWrSm563Qw/lucKbOWFttVopKSmhpKREL4UPDAzQ2dmpD+v29PTQ09MDQHp6uk4uzwioOAtIVEovlNahC4ZQgvYBxV34AbLDnfxuwMFDThAF+Pb6BXzpkvJp3cxJvT9noeQdFUVEYKivj8HCMr7bZaPFo5HJ8nQLm9+7ggVZCbsXg0HLVVaUEQUxcSGMD/nEb1rRiCXvYix5F8Oye4n4OvQ4yEDvbiK+04ANT9NvGN78IkrGamxyHoqySPeUHMuHMiBHuefvzTzV3K//nSAISMCyBRcDF5Ne+wmtZ7Fnhzaw0ruTyFADkaEGPE0/RzRnY85fi1oVxNaWQHqmu6in6KGM468t/Xz0xSZCUZX31eVz+4Ic7tzUgC+iaL2HF+WS+bMQiijqSmdUstFvvp7CJUvIyTTE4hq3xybHjxEZPoa3+RexyfER9VKYpLF5srdmvL9zF+6ubfh7dgBgMwxTHvgpqmglbK7jV671/LinGoCPFsqsi7Szc2eP3i8U7xkCRkreM3AlSIxdBPRyN8wplBcS4lO08f+2Wq2sXLmSjIzUDhhTgR4QcRaScuJDRKnMyo1TuO/nbIPOHs6VZU986NHhcODxeHC5XOTm5iKKIoODg8iyjMfjwePxcPr0aQwGQ5LF29nYMM8plOcxVFVl9+7dumpittpocz7PF9KOcUdxAZll76C2MgPUEhCm/rYTpxPVRNugGSB+zFAoxKDHQwHgDCh84ZSF4bBGJjeUZfHk7cvOVFTjBEWWR0rwCYqnOoEPpdFeirHqfWRUvQ9FDqD2/xC2b0aU0pC9reBtpRxQghbCg8WYAFHRJtESd9p9/jB3P9fInm6PPsn9jvIsLCYDyOEk83fJnD0yca3IhF31Ginr2Y7sPk6gfROB6wAFTNs/irlgHRmB2PuY6gI0Rg/lI/VO7n3tBCpw70WlVGVZed8Lx5AVlXtWFPO99fORYh6lqijqqqwaV2kFQXsfZTdjK7s5NjneoE91a5PjI+qlqbcAAxD2nUBUlky691IyZ+PKuprbXisku2sZu3iEoCEXv5iLNdrGr7pz+e+hakQUvpW/mWsdEYbkKgJqJU5nGKfTCWj9btnZ2RT4/aTBzBTKBFNzSFYo3+o76zmM4PDhw/oAi8FgYM2aNbNWDjybCmU0GmXXrl0pzcqnc7zZVihHY45QnttzyMjIYN68ebqlYLw87vF4kGWZvr4+fWNit9v1yfHMzMxZUS/nhnLOYwiCQHV1NXv37kVVVbKzMlECZgZM6VSYeqD7D3R3/wHRlIm18ApsxVdiLVyHaJxcpvHZ7KH0eDzIsS/YrzoEhvO1G+2zq8v43oZRwxVxpCCMqUre4xmb6+dhsCI5aoDNZCx4P8Zrr6L3+HO42/+BNdpKNNgNmCkOPIHR9yqeY8ewFK7nlDKf92xqpNWtEQsV+D9LCnlgQyXCowl53qlKsKIBc84qzDmrtH7CQLdGLJ/+Af6yCOGBfYQH9iEcNZGGHavcQpp8BKJ1QNYZxzsD8QdWwjX51q7T/HBvBwLw4IZKvJEon3hZm1pNin9M7L+MXT91lAo8cs0lTNnLMGUvg9oRZTHUu51gz07UkA8wMnz4u4SGfoQ5f82kei9bhgLc/vQR2jwh/jlL2x1HTPmctm1kczSbh9u8GAWFHxY+ybWmbeCHDF5GFc1EzHUMUYVHXMjwsDaYMOh0UgD4IhF6urvJzs6eOklIyPHW/jinUF6IqKyspKOjA0VRMJvNs9pbdjYJpSzLyLKc0qx8KjhbU96p/nyucK7O43wglKN9KOMxj1lZWVRWVhIOh3VyOTg4SCQSwefz4fP5aGtrQ5Kk6QVUjEJcpY9Go3o/+pxCeR6hoKCAsrIy2traiEajXNtZifyHDiLf/Sb+nH78Xa8Rdh3B17YJX9smELSkGFvxVViLrsSYVjbmsZMWwkQfymki3r8BoKjQbguSOT+MRQ0iCfDoDXXcvaho7AMkKpSjznGqhBISohIVBVNmDYay99E2sAiLIUx53vPQeARFNWNVOvAefxjv8YcJyRmUhd9PK4sRgG+vm8enV47K5J7kLlyyFmKfdydpmx9GEVUGH/sWoZ7tiCdeAYKY1W5KA7/Ev+NxorlxU/V1GNIqUh5PSCh5R6IKn3mlhd839sbiHqvZ3unmoUNODKLAT6+uZmNtwrS/7mEpjaT9JCiU474Pcza2spuwld2EqkYxvfAJoAUpsxJVbklSLw2ZC2Pkch0mxzJdvTzc5+VdzzbQ64/wjvIsvldkgmchIkr8vEviRZcXq0Hktzcu5uqKdcjDx/U2gvDgIUyBg+RzkHxAMRXjM9QiC5kokkpQVTl69Cig9QzFd93p6ekT7rqFhBxvQN9Vi6L4pje0z+HsISMjg9raWo4ePTqrxA9mn1CqqqqvozC2WflU8Gb1UL6dFcrz4RzGWu9MJhOFhYUUFhaiqioej0efHHe73USjWjjFlAMqRiH+HbiQhhsvKEIZt7gAjfULZjMWRUFSCzEtuousRZ/UIg2dW/B3vUawdxfB3tcJ9r4OB7+HMWMB1qKrsBVfiTlnOYIwcmOMmZQzDWhm5QcZGhrCH4X/bDfykzInnet93K88wrdyL6PQ/E5k/wYMtjFIZQpCmUqhnLSx+Rg+lGHFwmDAig3oNt+Fy2onau7F2/M6jwxfw7bgYixCmAdyH+emgITvxHrMBetnlHEuKgKW/DVY8tdg6FwKm76PX6rEK8mkKSfHMFVfhznnIs1UXbsIAERUuGvTUf7RNkSW2cBvb6zl0cNOnmkZIM0o8fiNtbyzwpF8AnESnqhQTuP9CIKEiJa/7bjkP0krdejqZah3F/JwE97hJrzNv0QwpGHOv4zDhiv5wO5shsMKty3I4dHrFmLZu4eIIPLp0rW86JJIN4r8+bbFrCnWHprGrFqMWbWk13wMJeIm1Lcn1qu6A4JdpIe7wA4t94Bh6CQ58jbc4kI8bm2xbG1txWAw6H2XOTk5mGO54UkYo4fSarWec0+3Ocwu4p//bPY6wqjWoRkOqYw2KwdYs2bNjPvdztYgzb59+845YTgfCB2cHwrlZM4hbpSekZHB/PnziUQiSeplOBzG7/ePGVBhtVrHfJ34dyux0vNWH268oAgljGr6jn84MSUFYpGGle8hvfI9KNEgwZ7X8TtfJdClTT5H3CdwNz2KaHJgLYqVxgvWJR13Jj2UiWblzhB8vdVIX0TANehgvtiHv1yBwR0MDu5gEDBl1WItuhJb0QZM2Uv1SWhVkjRz9QkI5WQVytE+lPGFR1EU5PgxVJWH+qt4qn8hsB6AAtnNo/bfU5PeQrg/SLh/LzT8iMyoAwkIdu/AXHgpgpSCoEwBIamEDtv1rFqxCEu4iWDPdkI921KaqpsL1mGXtVv75bYh/pE+RGmamd/csJBv7Gxle6ebPKuRP9+2mJX5KbKHE0vesf9WxvGAHBcJQzmj1cuI6yjB3m167+XLJzr4TJ+VgKpwp6OBBytCMBwgEAxx12Xv4/mMeWRIKn+6foFOJkdDNGZgLb4aa/HVMY/QFi1zvGUzoWgTkVwXeYGnyQMUYz5+4yJc6gL8ahW9vbLuNZiWlqYvivGeobEUyrd6388czsTZSLQBktSbmZC10WblccyGUn62CGUgENCHLwAaGxvJz88nNzc3ZaLLhYjzseQ9FRiNRgoKCigoKEBVVbxer04uh4eHURRFVzObm5uxWCx6FcjhcOj3fzx4BS6s1qELjlAmKolqXGVJIJRJvytZsBVfia34StRVKuGho/i7XiXQ9RrhoaP4Tj+L7/SzIBgQMpfjCJcTMa2e9pR3oln5YZ/Ed9oMBKPaF8zoqaFsq5PQfffiW2rD36XZ+4SHjhEeOsZw488RzTnYitZjLbqKDDOIkLKHUlGUaWV5EzteKBTSEzEAfAX9dNzqpZEmdroq0XoYBeYZImz528PkFDjoe+AZbHIz4d4dBHu2oapeQMT1+mfBbMGUdymWgvVYCtYjWQumdN0SIUiTMFXvfo1hwPR+CftgE+/J7+DTG67jnldaODrgpzLTwlO3LaYyKzURElL1UE6y5H0G4v9+1JS31nu5FFP2Uqj9JE81tnLPy+1EVIGPZG3nK+lPEDwBA0d/xxcbP8WWwoUUyn6+VmVgeSoSnOp9CALGjGqMGdVk9VRh/tF9uG9ZjOeKYkI92yHgJC3SSxqvgWAgYqllmCrcQg1eTwFerzepZ6iqtxcLIz6U8aGc8Xbhc3hrImkDPYukKvEhrijKtB7qo83K582bR2tr64yOOdvnCNq1i+eGgzYgZzKZ9EEPn8/HqVOnOHXqFCaTiZycHHJzc3E4HJPKRX8r4nwglLN1DoIgkJ6eTnp6OvPmzUOWZVwul04oQ6EQwWCQzs5OOjs7EQSBrKwscnJyyMoamQO4kIYbL7i7NkmhjBPKSfhFCoKA2bEYs2MxjsWfRg70EOh6Db/zNYI9r6MO7aOAfRB6Gk97MQ5Adp1CUJUJ/RNVVeXEiRO6WfmLHjMPtWlm5aDykRKBa02FcABE2YC99DrspdehqlFCg4dj57GFyHAT3tZn8LY+Q9+NArZ2CUv7k1jTbseYVjYrCmUkFGLXrl36Yv0Pl0h2RjeGogiXspPX2MmxcAlN0cWsEIsoCw4xHLJxqP5ozFj2JnIWfwjR9C8Q9GLKWUXIXU+oewuh7i0MA4aMGj3725S9LKm1YCoYbaquRNyEel+ns/UVVOcWyAtQmneaf4r8io1Pp+GUs1ieJfPkreUUjkEmgaQeylRT3lNCnNCP01fzeEM3n3mlA0UV+Pc1FXxp9WXIQzfh7NjFR3blUO8oYIF3gF8N72NwxZXTWwjDYcSIgC00H2n5vRoZ954i1LtDUzAH9mEMHCGXI+QCqjFXUy+VSvxqDf39URxdXRSgKZROp5OmpiYMBsOsLILhcJhvfOMbPPDAA7S0tDBv3rwZH3MO00PcizKOs0kop4quri6OHDmSZFZusVh0Qnm2zcgni1QKal1dXRKhzM/P14c9wuFwUh51fOgjNzf3LU8yEnE+EMqZKJTjwWAwkJeXR15eHqqq4vf7dXI5NDSk23HFLblA21Ts3r0bi8VCMBicskI50br50EMP8dBDD2G1WsnKyuLhhx+esZfseLigCGXiQphY8hamYUBusBaQvuC9pC94L4rsp/v43+g9vok0+SiyPAhY8Tb+lqFNT2MrugJr8VVYC9YgGpJvCFmWOXz4MD09PUQUeKTfxku9GskwiwJfLo1wea4RXKl6IiUsOSuw5KzAsfTzyP4u/M6tBLpeJdi5HX+FjL/1Z9D6M4wZC1AyLsYq56IoNVMnlLHf73U6NTIpiDzuFPhLv0Rtw1I+uM/L3y4qoiSvm1pTJ7VofUsn/lnA1KuSHjmAT11IX1+Uvr4+5skKZsBT9K84lqVjDBwhFFMSZfdxvO7jWu+gMRNLweWYC9ZjyV875c8pEaIxg62Ri/jwoTRubS3jl21P8Pd3XMqHItczHLWw3tLAf6f/AmVLhL7xTNUTJ7vjhHK6Je8JCOVP9nfwte2tgDZ5/s/LtcnUQfNC3ns4wtGQnyXDPby049f4ly9ikGkuhKOMzQVBwJheiTG9krQFH0SRA4T739CSe3p3EPW1Y49sxc5WECRkSw1pIa3UHTUYeOWVV3jyyScxmUx0d3fz05/+lBtuuIEFCxZM+dRaW1u5++67qampmfUS6xymh0RCGY1GZ+3hm3icqXzWqqpy/PhxTp06BSSblfv9fv33znb+9mTg9XrZt29fUnl79PFVVaWkpASHw0EgEGBgYID+/n6GhoZQFIXBwUEGBwdpbm7Whz5yc3NnzbLmXOFCJpSJEAQBu92O3W6nvLycaDSapF7GBZtDhw7xgx/8QA8T+NGPfsRNN93E8uXLJ7xGE62bTz31FN/4xjeor68nPz+fb33rW9x8883s27fvrL33C4pQwhg9lDNMtBENNswFG+husyEKsKDuKOz8CwZjDkqoE2/r03hbnwbRiDX/Un2wJ0wmBw4cwOPxMCTD97psNLk1glGUZuL3V1cw3NKQnOU9ThndYCsmY8FGMhZsRLrnYwS9h3B/ZB1+334i7hPgPkEFEA3aCPRXkAYoIe+k3uOAy0UhoEajCCYzP++zs7nfC6iEoibST5h4MX0dimMZ313nIDqwi1DHP4hwgkDFMCXBxwGRiKWGYaGGkEPG5Fc53drKyU4jJpONnJz3kbP602QKTiL9Own1bCMy3EigYzOBjs2ASIaSCYJIZPg4hozqM6bEx/uSPd7QzWdfaSGqwnUV2bzUsYSNgVsJCiIbazJ5oLaYaP9VZ5qqmxyYC9ZqBDNvDWKKkvd0eyjHMjZXVZX7X2/jwTfakQT42TU1+qR563CQW58+Qqs7yEXZZl587hdkRwI0x+7t6SwGelLOGAbPWj77FVgKryATkL1tBHt3EOrdQbh/L4ZAI2lBK2DBFW7B7XYjiiLhcJhwOMxnPvMZQFsgly1bNqVz83q9PP7443R0dPDYY49N+b3NYfYxmlBOxRh8ssedLPmbyKx8pqrnaMyEUPb393Pw4EFkWUaSJJYsWcKhQ4fG/TdWq5XS0lI9j9rlctHf36+XTROHPuLDc/G+vOn2jL6dbYPOxTlIkkRubi65ubmoqsrg4CCHDh2iv78fk8mk91Hed9993HfffTz++ON84AMfGPeYE62b3/nOd/jwhz9Mfr72XPnc5z7H/fffzwsvvMDNN988+2+SC5BQTqWHclrHVUHK1Kxq0svuwHTTbbF+x1cJ9O4m0L2dQPd2Bg/cT0gqwSzW0RJYwv/trcYV0cjkmuJMnrpjGVHvMHsZZUU0yb5MUTCRdtKEqfQelOoqwkPH6G+OeUcq7YR9rYAF1/7vEMz4K7aiDZo1Uvr8MxbMY8eOEenqohBANHB/p529PRqZBAEl9vs3ZkeRcsGYtRh7/kqErHdh+fhG3Bdn4bm+klDf6xiDx8jlGM73QP+wSJH6PC55IX61Sjfc1npJ1pC74BYcaSqCe5+mXva+rrUBqFH6XrsLyVpIdnslWsFn7AeFqqo88EY73369DYDvrpuPpyXMRy+9G0UQ+dJFpXx9TQWCsBTmjWWq/hyB9udAkDBZqsm4KIjF4tcJ4Yx7KBMfpKrKl7ec5JF6J2ZJ4Dc31HJjpRap2TTo57anj9DlC7O+JJM/rsok+xea0qHEJ/enWfIGRgbKJoAhrZy0tHLSKu8mHPbzny9u4t3+J7mMAbAW8oUvfJTFixfz0EMP6TFlsiyzZMmSKZ9a/N90dHRM+d/O4exgNKGcLUyV/Pl8Pvbv3z+uWflsW/FM93jt7e0cPXoUVVWxWCysXr06aWo3kcioY6SOjSYe8aGP/v5+3G43sqwNzsWH5zIyMnT18q002HOhK5TjQRAE3UXh1ltv5bLLLuPLX/4y4XCYiooKjh07xtVXXz3hccZbN10uF/v37+erX/2q/neZmZnU1NTw8ssvzxHKySKpmTz2oQmzSCgh4aEcCmmqYdXdZFTdjSL7CPTsoq/5OeT+nZijnezzpvH5vhsIqCpVhi4+Ui3wmWsuwWQyMuhP4W052SGaBNsgQRAxOxZhmp/H6cFlmAQvZcXb4MBeBNVAqO8NQn1v4Kp/EIO9LOa7uQGDYwX1h4/S19dHUewLvscVjZHJEViN2mstMCu0Jv5AEDD4RDJP52C89Eeo0TChgb2EurcRrn+SSKZMWmgraWxFFc2EzYsYohqPWIvLNRLvZrMVkZNzD9mVX0EQPgCqimQvJ+prI9Q/CNjJiuyi1N9BuOM0csW1GOxaH0hUUbl3ywl+cbgboyjw82uqOe4K8G/dJgQUfqSc5qOXr0t6P2OZqod6thPq2004cIz+dQB7yDx0EhtgxIWghqZf8o59XpGowidfbuaPTX2kGSWeuLmOK8q0Bu2DvV7e9cwRBoIyN8zP5tc3LMTe3qYfSpmJQhnfqExR0QjJCv/0UivPnyphVXgelzGAxVZEWJJ0w98NGzbw3HPP4XQ639LluDmMYDpK4mQwFUKZqPaNZ1Z+NhXKyRxPVVWampr0Ps7MzExWrVqF2WxO8hicqjI2eugjbrjd39+vxwW63W7cbvekB3vOtW3QbPuaThWJRP5crlWJ10FVVYaHhykvL6ehoYHu7m4KCwtndPx4jv3o4xQWFuo/Oxu4oAjlGc3ks2BAHkfSojVWeVq00jpURHvwerBfS5qpn27nMWxCiPembedex7MY/ArOTQ9iyb8Usi7FoFiRxayRKeBpEMrR5ygLGZiy64C9OJZ8CdP6YgJdW/A7X0P2teNufgx382MoggWjtJAMwyLcdi21JRhOfH2BCrPCe+oKoBG9/KwvSvGFMe7rJZmw5F+OJf9ybPe/gRztZfDbHyTo2k144ADmwAEKOKANdpjn4RFrGRJq8PvKYyUdKFNBQEBZ/BAOiw/T0GPANkAlLXqMcPMxept/jCGtEiVvA59ruZjNHQrpMU/Jp1v6+U1DDyZB5Xe7/8Stl1QzUcND3FTdPu9O1GgYee+fkV/4Md46CTXsBuzYlUaqvffhO7AKijdgKVg/pql6EhJK3kFZ4cObj7H51CDZFgN/uW0xqwu0pKadncPcteko7nCUO2vyeOiaaoySmKRYv5kKJUBQVvjgC4282Oqi0G7iuiI7nNSGchLjwmw2G4IgTDuZZA7nH86WQjkZsqaqKqdPn9YnpCcyK59tQpkkHkxAwGRZpr6+XlcMCwoKWLZsmX79ZjN6MdFwW1EUhoeH9Z688QZ7cnJyzrsElnNdcj+X5wAj3ylBEPRe2/jw1Wyso/G+4tF+wmazOanneLZxQRFKGLUQxh+es6BQJhHVOJlLIKpxs/LBwUHtd7IK+MLxHA73lZIX9PDxTjf593w1Zqi+m0D3VujeShUQFEvx9y0kEyZd8k5FQFNNeYuqgK1wPbbC9WSrXyPibsF16m+4Tr2IWT5FhnyIDPkQigNO3yXROQwSClFEVqUp3Fsmk34qRqBHL4Dj7PAEBMwuibTyu0lb9PHYBPYugt3bCPXugFArWbSSxd9QpQwC5sW4lGqiJgUpLNLY2AhAja+QLGDIdDkdllLmOfpQBvfQN9zDPS0ODoYU8iQ3D5fv5Kcv9/GSL5tMk8Sf8j1c29VAWKiZ1PXUz1syYbEsxrbVRnb4MkIX1cHff0VYcgC9RAffwD34Bu4jDyLZy/RpdXPO6pRem0Ls83HLKndvbmBb5zBFdhPP3r6E2hxtkf97q4sPvNBIQFb46NJCHtywYCRuM+Hz1TcyMyCUY/VQjkZAjnL3c4280jZESZqJTXcsJf2BZ7XziBHK+MJ0IU2hzkGDKIqIooiiKLNOKCVJIhqNpjzuaLPyzMxMVq5cOa7h87kqeQeDQfbv34/b7Qa0yMrq6uoJy/GzQWTiBtoOh4OqqqpJD/ac66G3c91DmbjhOB8USlEUdUIZ35jPBuIbiNCo+ZFQKHRWvS4vaEKpJJQPs7seAAAgAElEQVSmZ4qk6cQ4mYuRv0SzcgC3o4wv7R2kLxBhpcPMs394gJLiPCJV7yej6v0oER+Bnh24T/8dn/M1LEoHgb5eMrHjafod/n1ObEVXYSm4DFEaYyGdIMtbHePnrmAG9X21RK3VGMQQLaEOlIFdXGU+wh/TL+HbkXcRReTurL18MqeFoFqHSmy3Pcr0fLRCOeqCJf/RmIG15DqsJdfFTL2PEOzZRrBnG/JwEzb/Lmzs4tTHwdplJFfegluoJRjQSIuKhNe4jG5LLnLNPXxsaxstIYUFZhcPOB7im+3v5VA4m3xpiF/P/zsXd2rXTZ3O9zNhslsyauVot2kFzWnrWVUloQ69ETNVb8d38g/4Tv4BQRrx2jTnrx1JOIoRwluePcqBPh/zMy08e/sS5mVq5/d0cz8fe7GJiKLy+dUl/Mfl85IfSKMUSlEUp7XoCKOmvMeDLxJl46ajbOkYpizdzHN3LGV+pmXE2NxgQJKkOWPzCxySJM06oQRtLY1Go2eoiaOtdkpKSli0aNGEUXZTLVFPhMkQSrfbzb59+wiFtDaYxYsXU1paOu6xRmM2y8+THeyJI+6LOJPBnungXBPK802hlCRJ5w2zmZJTWVkJaN7Xieju7uaaa66ZtdcZjQubUMYVnVnuoYwfl1AoyaxckiQarGX8+w4nEUXlzoX5PHxRHo5fulHCI+Ua0WjHXnotONZyyL0Fa/Q0Fxc1AAcg7Md78km8J59EkCxY8tdoaT1FV2Kw5o2cUPy9ybIerZj0BRlFKFVVpbW1laamJu13zVZ+OljAC6fSgTrm+QdptWUjoPJvBa/wQfNTCDIgb8d3Kg0rRqzyKQxK7ciXMj75nGphHIdsaqbeyzFlLyej7tNEAz06uQy3byFQGiE38Cy5PAvzM+jZECJgHEBQZfa0D3D/6WFcssCSDJFvrq7jy/vu40RYplrp5uHiRygK9hBymgA7/rZn8B5waSpi3qWIxknszhKzvOMPU0FAFcyY8tdgrbg2pal63GsTwJBehaVgHfaojCxKHOjzsTjHxtO3L6HQri3gmv9kC4oK31hTwZcuTpEln6hQStL0F8EYMZ2o5O0NR3nPXxvY0eVmXoZGJsszkt0SogYDplE76zlceJjt3O3xjjvarLy2tpaKiopJx+PF1dQ3g1D29vZy6NAhffp9xYoV5OTkTHjcN4tMjTXYMzAwwPDwMKCJIPEq0Js52HOuCeX5rFDO5sbc4XCwcuVK9u7dy5133glom6Djx4/z/e9/f9ZeZzQuaEIpx8t7s6xQxgmlf2iIgwcPAmCyWHkqmMOjr3cB8M11lfzrpRUIsS+wkKI3UhAEEEQChvmYy8uBA6SV3Iy8ogp/16sE+/Zq0+POV7XXcCwZIZcpknCSvqQJyTeKotDY2Eh7e7v2V7ZMvt0qcaB3xGC11ZaNTQ7zW/9Rbrz327icGzn+xm9Jk4+SQydgJCNyiCrfHty7niBSfCVW20ptKnu8RXwSu3DJWqD3MNq+eQ2BkjCuz16P37kVgk6GVoKRvVR66+kM1PJOyxI8Yh3vyE3j49ucuGSB1fIQL/3tl6gfeh/RK+ow9vwOqEdVAvjbnsbf9jQIBky5q/XEnjF7IBOzvMeIXhzLVD3Ys51Q73ZkTwteTwuCnIUowW9Kf8O65TeSLVUAOfzvgU6+uk3z1PvhlQv4+LIxMtsTm/pjZchpYRIlb3dI5s6/HuV1p5vKTAvP3bGU0vSRMn5i9OJcyfvCR5IF2yxiNKFMZVaem5s7pWMmpYTN0vlBMqEc3dtps9lYvXr1uCXE8cjpmzEgM3qwZ9euXQQCAdLT0wkEAtMa7JkJ5gilhkSFMrHSM5vX5b777uNTn/oUX/rSl8jLy+N//ud/WLJkCTfeeOOsvcZoXHCEMmVpepYJpRz772Csd8aYkc332yS2dPSSZpT41U2LuKUqpiaOMxiUtHDFex4FCxnVHySj+oMoEQ+B7u34u14j0L2VsOsIYdcRhhr+H0XdOWQAof56pOgliJI5mfTGs3jDYfbt28fAwAAA3vR8vlLvp8uXbLpbZBLY9OovWLF0ATJgSKvAZboSl+lKFlY1w+tPEBRKieIETxPepia8wODHBew9IDlfxZx3GaIhRi7ixAuYyrIpRgXsbWaOlX6OO/a9k7tPPM9XQi/RscSCIXOYd1jreYe1HoDGQBkfsC+mX1jM/21qIjsSoL6zm7bGedQpdTiox1J2G5lL52lKYv8bhPt2E+7bHeuBLNfJpSl3NYIY+6ymEb2olfSvxVpyLaqqcKx1P3/Z+QzfV3eAqHKp9AaRI2/QfRh+HvoQP+65RPOfvLqajXVjR1EmbkSiBsO0FxxhgqGcoZDMHc80sLfHQ7XDynPvWkJR2qie0NgxokbjrJa8w+Ew1157rV7q3LhxI2VlZTz55JMzOu4cpo8zQiJmEfrwoCzT1NSU0qx8OseMx0TOJuIEZPSmPK4ATVQuTvV9Tep1f5MRf+3S0lIKCgre9MGec00oz5eSd6JCGd+YT/X6TrRu3nHHHfT29nLddddhsVhwOBxs2rTprBLpC5JQxpu+5TihnKWSd9w/7HhrK7mAKMvI2cV88ZCXk8Ne5mVa+PPty1iSl5C1PE7udxIBjCuOCb8nGtOxl92AvewGVEUmNHAQv/M1/F2voig9gBl3w8N41V9iKViDlL0GSTERFdP1kndnWxsDZVop1Zleyr1v9OOTY1PZaGRvaV4aT1eLLPhjF1Fl/hnnKRg1wuA1rKA57R4uqkuDoT0Eu15F5hTuyiHY8wUQTZhzL8by/9k77/A4ynPt/2ZmZ7avVr3YcpPkJtnGxjYGbINND5iSBiEJSUgO4SRwQg4JyfmSLyf1JCcJIf0kEEIIPUBMCxCKewd3W7bVbEtW1660fWdndub7Y4tXzQ1z4vjzfV26JO3OvvPO7Mwz9/uU+yldhCOjG3kKRtM0Ta54dhcDqk6prYLC9TYe7b+I75x3Cf89rYM6cRdy/2amKW1MU9qA1xHm2Oh0GgjuNkx9BuFQKHX8PUHafFUUlV1AwVQHSnwfas864l1rSUZaibQ8QaTlCQTJgbVkAdbSRbjitswXdEqdcrZ0hfnIGxqR2OX8N+sRrG68c75CvGsd36738qfAfGQ0Hih6hEsPtdEfyxFVVzyDB8tZiJjpHMpTwjFyKP1xjZte2Mv2njBTCxy8fFMdpc7h22VSR5IWy6BQzXtN8lYUhVWrVr2nMc7h9CNzrZ1uQpkhqq2trYTDKYmyoWLlJ4vTGZ4XBGGQVqSmaezYsSO7KK+oqKCuru6k78V/tGTP0DmMVtjj8/no7+9/Xzr2/KMJ5ZnmocxVyzjZhfmJ2M0777yTO++885TmeCo46wgl5CR9p43TqbReHAkZIxNNe40MJD6zqZ9QIsniSi9PLqujyDHkQTykgGfoPDMYiVAO2rdowVY8F1vxXApmfgVx27dg79soripMo5FYxwroWEE1AnGxklBnFVZAj8cRRZHt1rF8e2PX0XxLUmTyqomFPL6sFk/9ntQbOXIGGWS8c5gmCCJS3gycFQvwVH4G2yeuJTTTTvADVah976R6Q/espyDmQUIitP9BlMlXIufPOKGe3YZpohsmA6rOLVOKKd2rZCf8qXKFHudiFm2pRuRGfjYnyocKGlC716IHGwnWgsI6Jkc2IowvxT87jmmPEAqFCIVCHIR0SOdDFM6+A6/Fl+3Yk/DvIt65gnjnCpJNMi5caOEmzHB61XiCwuYrWvu59ZV9RHWDz05O51VZZKxjruWrB6bwWKAbhwUennGIeXocPdg/WFQ9f2aqDWXpwlSnoCE5lKdqBEfTofTFNG5YvoddfRHqihy8dOMMihyjPNTTpNQYIht0OpPJz+HMwfvlocyQigyZHEms/GRxOkPemfFM0yQej1NfX5+da01NDZMmTTqpuQ4VMv9HeiiPhZPp2CNJUtZzeSqFPf+/E8rMPCRJOqtSh85KQimlRZdPp4eytbX16MVotdFzSZTeQBeiHuSOWZO5f2laN3AoBCGlhzkCURxE2kbIiTwWBHs+AHk1n8VxxUJiXesItb1FtGMNdqMVvb8LcJKvbiAc0Vm+fzomk0hRyRSZ/Px5Y7h/aQ0WUcx6NDOV3INu+AyZGmqsBQE5KOE9kIf8vd9i6FHU3k2oXWtBXAVApOUpgt1PIiperCULsZUtwlpyEaLsHnZMv9/Zwd1Gysjec/5YDgdirG4b4OPABW6DtarAr7Z0IArwiyWT+VRdGXA1TP83pAd/QmLPcoKXjSUmHMa0dtB7CcBqJqsHiFhq6TdriJqThnTsmUPRhCvJn2FBDG9H7V6L0LIBAC3UQOLgfpzYcSV34dbcmPpskPNH/E5eaurj9tcPkDBMvnheBT+YXQw/gYSscPvrB1je1IfXKvHs9bVcUL4Q+Ey6ICkjqr6JhH87Cf92Qvt+iWgrxaGOo8RhIEfF91aUkwl553iAeqMJrl++h72+KLOKnbxwYx2F9tE9REOrvM8V5ZzdeD8IZV9fX5acCYLAjBkzTovu3ukuIMrcZ/X19Vlh9RkzZlBePkqu83HGGolQnsk4XmFPMpk8pY49/2gSfSaGvM8mO3rWEcrc3B9dFFPetffgoRyaO6Ma8HZEo3K2ioUuNvIf2OXziTYvwVGxFNk1bvggsowQjabCpzmropPxUA5Djg6lpOThGnctYtESdgZX4kgeZKK8FjiCZMQJBo9wIHEFGTIpYPKjRWP4t/k5XoHMXI4hAZSp5h4mG5TpPGBxYC9fir18KZKzEfrbcVZ9gljs3XTP7leIHXklVRxTOAdb2SJspYsRneP4zobDPLD1CHcDYdnG1q4Qa9sDfFlJnZcjCYEX+iRs6VaF10waXFVpSbpw7LZiu+KTqNdcTvKlX6DtWU6oToFEF+5EF27exhTtJGy19JvVI3TsKaCw8HbGVi0Afo7FO5mk3AtEsXKEMfE/0/fmEygF56VC1KWLsLhT3orH67u56+1GDBO+sWAc982rRAwGiUoyH5y+jL839VFsl3nhxlpm5KREpAqSPoRzwocwkwkSvm3Ee1IEUw8fIkw3eaVO5IMKRdor9Ed70cNlSM5xJ2cQh4S8uyIJlv11Nwf6Y8wpdbH8hjrybccxB6qaKkhLhwTfj+rEczgzkGtHTwdJG1rQAqnQ8ekSw8/Y0tNNWHRdR1EUZs+eTX7+yAvJ4+FMJVcnitPZsecf3aXGyHGYnAmyQe8l5H0m4qwjlJCzsjYMsFpThNI0jxKgE0QikWD79u1ZwjFgSHz/oEA4pPC9JgfBqQKxScbR1oY7f4zsqUq1NqxYirVgJoIgph7i0WjK+5gTGsjN1clWEZ9op5whskCGYaQkgQSJqKWagfx+2j64j13BiXy//8PEsOESYiQRub/oTyxt3UNXZBb28ktxVCxByakKz8wtA3MIcRwqGzRSnqQgpN5zV30KV9G9g6WBejeT6NtCom8LwT330yeUowSmsdAxky6nm2XzP8Hu9gAT82x8obgCtkCbKuKWTJ64uppLJ40g0ZFTSCNa7FiNamwrHeSN/QTRDy9OCap3ryHh34U1+i5lvEsZkLRNIihOJcAUopExRKNRjIOHKAFCwlgsBXOA5QTlWYSkCG6aSfi2kvBthfqfIzkqeCxxM99trgLgx5dM4s5ZqYdkIKrysYtuY23+eMa6rLx4Ux01+aMbDUFSUnmcJQug7ivo4Va0N36DJZzymFqFNrzBQ/S8/cwJiaoPGjunKKcjrHLdX/fQNBBjXpmbv95QS571OKZA1xGSSfS00cv1UL6fQrnn8I/D6fJQDhUrl2UZTdNOOV9yJJwuD6VpmrS0tGSP2WazMX/+/PelIOWfhVAOxdCOPcFgMBsaH6mwx+v1UlRUdELSSu83/tF9vIfO41zI+58Ag4yL1ZoqJtC0k+pjHAqF2Lp1a3b1ECscx79v6MKvQa23gLx9VjydXuJf/muq803HSqIdK9GCzQSCzQT2/wHRWoij4lI8E+I495gjziEbDjnF1ouCrg8jvk0xgR71IIvH6VTTyFt8h5A8Hsd+jYGAyNi5NcT9TlTfDlTfDgb2/BxHsJxKwFAHMI3EiBJEw/Qmj6E1OZSE5koDmck4at87BNtX09O6kiI6+Yynk8+wgr5P2/h0/G8ckufy8YU38vRvN/NNwCGa/HCSxvklJ0heMsYbAdlTg+ypwT35dozEAPHu9ajda4n3bECKt5BPC/m8imnJJ6bUIthlDNkkpqpoPT0UATF5Eu2O+cw5rw6r1kCiex2xrrU80HEevw1UIZHkv4qf4SMxC5GDi4h4L+LDb3Wwo2gCk+MDLP/M5VS6Ty7X0OIahz0xG1vvFgC6HDegOPtxG/uHi6oXzU97TRceFVXPRdrz3aYJXPv8bg4G4lxY4eHZZdPxHI9MwlENyjQJeL/0087hzMHpKMoZSaw8mUzS1dV1WvUtT0cOpWEY7Nmzh46OjuxrNTU175lMnkkh7tNNYkVRxOv14vV6Ry3s6e/vp7+/n8bGxuznQqEQbrf7f53YnSlpB7nENreF7T87zkpCOWhlbbNBIJDKozxBQjlUrLzRNY7/WNeJmkzl8v126QR4DFBVRMmKo3wxjvLFFMz5FomBeqIdK4i2r0ALHCB88HnCl4KwEGxb7sEx/irsFZdgsaVkhbLtzTI31kmGvNVIhE2bNmVXOZuDAve3Wvhwx3Q+tn03W2d5KayJ49YOQxUUAmp/GMeYpVicY0mqfuJd60n2dgAetP5G2l68GKX4QjxaMRFp2lHJnJPwUA4Nhw96S7LR75zPh/e72N13CUvye/napFZCHauplQ9xrXMbh7VWPrK8gmvCKc/apXkRGhVzdEOQmdvQ/Q7t2KN4cVRei6PyWkxDJ9G/C7VrLfHuNeihZhz6OiiFxjtBiuzAXp8iZxkP8rYde1AUhfyC6/lt8loeCwSwiga/nLiKS5JbULt12g7t5PPNEvvcJcwa6OTV9lW43deNPO/jILdTTkSZTKJoKlWzZqGHmlG716U8vv4dqN1rULvXAGBxV2XJpVIwC0GUERIJDjm8XLOqg8MRjUVj8nhm2XRcyvELpeBo/mRGgzW3dd45Qnl24r2GvAOBANu2bcu2f8uIle/Zs+c9jTsS3mvIe+iiPKMUcjoIz1CP5JngoXy/CNXxCnsyaGhooLm5mYKCgqz38n+jY8+Z4qHMDXmfTQvzs45QDtVPM63WVObgCeRRmqZJc3MzTU1NAFjtdl5JFPOb9alQzW2VFm70RHFYhJSe3xBtSUEQsObXYs2vJb/2bvRIO9HOVcRf/yXRohCxvvXE+tbDVgFrwUzsFUuwGk50s+DkcyjT27cdPEi0vBxRlNhiKeeHrd2AQMy04jqoMH3ixbhv+BaJ/nrU3/wbkYJe1JIBIodfSo0jytiKL8BWdxGa63VEyYmp96B2vkUFYCIQOzwBN2BJhgcTxGO1Xjx6Uoe9dMAf5YMv7qUtpDKr2MWHZtZww6pS1ORcvtC1kRu17dw68bP4dCtVlo0AlBmbSUZ2ETuwBEvlZVgL5yJIOQYoVzsyd7/HMJyCaMFaOAdr4Rw8tV9Cj7animN2P49qNpD09OJMhAEbLvXvlMTbCVumEzYm8h/vJlk1IGETTX5Y62Bh9e3kef6V1q6dfHylSZvbwYKBVl5d9xieieOIjjqL42CU1osZUXVXzacxtBBq76ZscY8eaiYcaibc9CcEiwtryYV0mgJXLPosrRGNJZVenrpuGg75xMgkcFSDMk0oEznX/rmQ99mH96pDeSyx8vejA897GTMSibB169bsonxSzRSOPPc/zKjfivjWFKSqGeB0Yrrd4HKBy5X62+nEdLnA7U6lVp1BnsgzAUMLezILjAySySS9vb309vYC/zsde3JzKP+RyA15nyvKOcMxyBBa07llxyGUuq6ze/duuru7AVDyCrj/iMxbh7uwW0Qeunoa44KH8fujR0PpoVAq53CUXrMW5xg81R+n8J03MFsbCfz8i0TjO4h1rkX170T176QSSAiFJI5ckPrQCRLKQDhMIWDqOrLVyl+iRTy6qyf7/ti81GqnQBbRBRFrQR2uxrEUN6tEHv810eT+VBeens3Eu9cRBwY+B9aghmfybSSx0tm8EWfyAEa8HXDi1TYzKbKbeONSrOOuQMmbARyn9eKQ9zZ1BPnoy/UMqDpLx3m5bJyXu99uwgS+Mq+SJb9+gpvO/xwRXeGDNQX8S345vAtJbCimH+3I8/iPPI8g2bGWXIitdDHW0oXDd595sJyE4bA4xmCZeDPePQ6U393P20un0692swA/TjFEgbaaAm01MdPOjZaplLunc0HRFCaYGo2NQQ7HBb5z2I5fgyu6m3iu8TU8WvyowP6p4ARaL4qyG3vFFdgrrsA0DbTA/qz3Uuvfw77DO/ncrC/RbsvjsgorTy6bht1yEmSSwRXewCBvwznZoLMTp0IoTdOkoaHhmGLl74e+5akSSp/Px44dO9A0jXZNYrtYwvLXj/DI4TbGN8WhaSds3HnccUyLJUU004QzSzpdLqb6/aiyjLu9HaW4mOKuLkKA4nAgWCypz9jtIAhEVBWHImdz0M8WCIIw6BqYM2cO8Xj8lAp73gv+0UVBGZwryvknwrCQN6kH4mgBhmg0yvbt2wmlxbApHMM9u8I09IcZ67by3I0zOa/UzdatR46Om0ko17RRCWUWsoyUEHDlXYxz1scxDY143zZiHSvxNf8NxfCR7HsN8KIPNNO7+b5UYU/ZIkTZNWiojMEWenspBCTJwv09eaxo601vITDPbfAftZXwJkfbCKZODAAWuRjPxNl4qj+GoUeIdW8k1vgyscNvoXqiqA1/AsAhuAlZZlFS4ga2kTRtKKYP/ciz+I48iyC68CBjJhMYiQCicrRf+dBQM8DLzX189vUG4kmDW6YUU+ZU+Ma6Qwik2g86ZZEb5t2CLkp84bwK/mvRRKwvpfJuBpQLaXHMYFpFCLN/Mwn/jqxuJIBSVoR7fgzZ7EgR3FFC3ieCeELHpgtsO1hIoZjPAjbQa7uaPiVJTD3ARJq52rmdq53bwRBIalVsUufzzbYLCCXhIrvKy5seJ+lOfXdqMkkikTilkI4wgofymNsLIop3Oop3Ou4pd1Df1cmnXmykxyZyXed+/vivn8Z2kmQSyEpvZdqZajnzOuehPDtxssRP13V27tyZ9TiNJlb+fngoTyWMfOTIEbbu3su6AYG3BxTqIwAp8fIXaxYxe8LvEJOFFE++CyEchnD46O9QCCIRCIVSr4VCCAMDCOlc0VxMyvyRFqE+b4S5mIJI58IEodoI8uYa8hiTIpppL6jpcmFmPKKZ/3N+cDhOydb9byL3u1EUBa/Xe0qFPe/Fk3emhLxPR6ecMxFnJaEcZAgzHspRtCj9fj/bt29H0zQEQcBfMIEvb+pmQNVZUJHHMzfMyHYNGWQIM+QgkciS1lGRSz4BQZSxl1yAveQC9gYvQgs1MyW/HXgNkgaR1leItKbkdWwlF+CoWIKj4lIEaym7du2iu7ubiWlyuMpnsqLtqBFbVpjk02VJrEp6nyMQSiGZzJJr0eLEOeZynExD+eY7RM8vJ/S5i4m0r4RQM159C3qfAjgxcNCnzKOspAghsgfNvxvwYupxul5fmpLTKVuMrfSSo/tM3zgP7uzgq6tbMIEvzxlDd1Tj59vasUkif7iqhqaBOPeuOgyixI/r3+Tzd397mDcuIZViHb8MV+0dGIkA8Z4NqN1riHevJ0EfvouAxC8R33ia4o5KrIBpnmCRUxq+mMYzO47wNcBlk7lxjAMOQIACPn/kfBpj1zArT+OJBQO4QptQu9fz7oDA3T1ziJoS17t28K2SPSQmxjAHUgYioqpsWLcOt9udNYput/vEwi4n4KEcDfW+CMtebqVXFbmpcx9PbXuehPy5kzofGQhDQt65HsqzwRCew3CcjIcyEomwbds2IpEIcGyx8tMpR5TByZBUw0iy93c/paGvnUdjM+my2AnLdqo8bm6aNZ5PzRpLT73CQJcL2ezGc+X5yO4Jxx7UNFPPglAIIU00MwS0YetWCIepcLtxJJP0t7UhhMM4EFDDUYxQGJcaQ9Y1sBmY1sNYNvUce39Ddy8I4HAMIp6DyGf6tTFdXUQlCbthIAaDGA4HB0KdVE2chsXmOv6OThNyr4uTLezJdOwpLCzE6/WeFDk804pyBEE4V5RzJmOofpp5DELZ2trKvn37ME0TWVZ4VxnDd9a0Y5hwW105v7p8ClbLcN1IwzAwFSWVmzlCj+5hGEIoB81XFElI5ZhjLwRew6KUUHj+vUQ7VhLv3ki8ez3x7vX4t38fTa4kKUzDaqkl5spHF0T+lJeSqxEFeGDpZCb07MU0j7YKHEQoR3otA0lCMAXsPjuWGf+Oa+rdrHnzL7j0vXjd9UAviuGnKPEG+hGQvdNx1nyKePHzyAEZQVSycjrBvQ/gCBciAapvJz9oifPAtpQg+X9dPJG3Wvt5u3UAr9XCU9dN44WmPn6/sxOLKPDI1uf5ePsewse54UUlD8fYa3CMTbWlNH//DdSOVYTm5aHHe9D6g4CdUMNDRDZtxVa6GFvZIiR72ahjdoRVbnxhL1cGUtfKLdPLcEdSXutn+iw0ygLTCx08e2MdZU4FuInXmnu447UGVBM+WbCd/3D9ETFp0rEMSEYJHJEg2Ids+AiFUtWNuSGdwsJCCgoKRg/p5FwzJ9N6cXdvmGXL9+CP69xUXcgzLzyNxWHnBK7WkXGMkPfZYAjPYTBORoeyr6+PHTt2ZAXA6+rqjqkv+Y/KoQyoOk/t7eSP79Sz9bkXmasK3MrWQduYzwngclFlsdB7EcRqQH3oPuzRmUfzJTNkze0+StrSOZXk52Omc0Uh1UDiiMVCPB7HWluLUVDAE6u28lKHyqaQRCI93Uq3la9O7OHKwDcILq3E/qnvITfPj9oAACAASURBVKQJqRCJZMlp7g+RyODXIpHUtsdA3ZD/O6+K4J6WQP6xC2e359ieUKdzZO9oZvvjyECdqPd4pMIen89HX1/fiB17Tqaw50zxUGYWaYZhZOd0NtjRs45QwvFD3kPFym0uN48NeHhiezuiAD9dUsMX54wdtooZ1UN5HGS7k4ywbXbMjPdQN3BP+gjuSR/B0KPEuzcSOPwG0Y6VyFobRbRRlHiDULGDR2+pQiJMftLgT8tmc9WkQt54oz4lQ5S5YXJliIZoVw6ZSObkpOYhCGhiIf3KYqwT5gAPEBGnErCI5NGANlCPNlBP5ONgCYnYx96EaCslGesm0bse04wAFr7x9jv8XnRjFZP893kJ/nSgix29MSrdVp66bho/faeNF5p8uGSJxz4wlRte+s6Qk3d8IySIFmyxUvLWOXBfch/xC6dgOfgLYCtgonavRe1eS2AXWPKmpMhl6WLk/NpsrlLTQIwbl++hNaTyeXfq+3LZFEK+BIVAT1JiisPk1Q/NoMCWev+5hl7ueKMR3Ujlf/7fBReTjH4Qdf+LaOv+SLQySXS8DrRRFfkBhnUMYWk6A2YNUXPiCYV0ckPemR7ax8P2njA3LN/DgKrzkSnF/H7xeOSfGBjvpYpyiGxQhlDKsnza8pvO4czC8TyUQ8XKrVYrc+bMIS8vb8TtM3g/cihHC3mbpsnGjgB/3NXB8wd6iOkGINNY42CMPoBorcNh2o+GrtPhbDtQUK/RXgNRYz+Fr7Wf8FyyxCtNPmerKgG7SWDPH6jXJdoP1lEl2yhRbEwbX8qS6WM5v6ocXFV0bXCjRRvRJhQj2aae3ElIJlPzH0I0c1/bvbeBvoEYWlTFk4hTGGpHpodQlYnrUAwhFoPe3uPva6TjtloHe0Zzw/UuF4LVyvjubuJWgXr/diaMnUlxxZSjnxnBPuUW9kyePJlIJJINjWc69oxU2DNaFOhMIZSZecRzHF3ncijPUIxEKDMPxKHyEHJ+Cf/ZZLC5sxev1cJjy2q5YsLIAqyDVuzpi19IJEbNzcwic6OMoDGZNa6ZCz9nG9HiIKLMZE/EIOm8BCdHGEgewh7YRLW1i4Wlu1nIbkzJgbNrIWFxCZJpYGA/KpQ+Qsj7RAllBpnj04VCOu0foGTWDFxmK/Hu1STeeRwt30A//Hzqc5IdpfhCwtMbsGwJ8XZ0FnmeCN/Kf5r7d11Pm25nqt3Pg1VdfO21OOsHBIrtMs/fUMt5JccIuRyvl3ZOVbfFWYmSPwPYimvanZjzKoh3rUn1/A4cIBw4QLjhIURrAdaShXQ75vORdS5aoxaWVHq5vbAENsBe00pDi49bgLF2gY9WkyWTj+zp4p4VqWKi7108gS+dPxZIFWIpBdfgfOFZtIljiAsHCS0oJDIuBvF2PLTj4U1MyYlqTXXsCed07GlsbMRut2fJZXmuhzJd4X0svNMV4oMv7CGQSPKxqSX89vIapEiq1d3xPAjHgjCEUOYmkv+jw0fn8P7gWMRvqFh5Xl4es2fPPqECrffdQ6lp9A74eLbFx4N7Q+z3p3LURFKyb1cWGIiLrqez9Xe4Jo1HPn/IIlbX2bp6NbHuNsbyM6LjQf3eNxEj+tF8yTRRy82nzL4XiaT+Txd4lgD5niQti4NMDwsse7kNId21jM2Ddx3+QJzQZOA/P46jt2L0nMkhZG0QicvLG/RM6gyrPLmvhz/Xd3NwXA2MA4sAH5hUyOcmRZnc8FkiC4oI/cdfIRYb7gnN9YAewztKOIzo84HPN+J3ZCWVP9qzKEr/eBX383ac7x69XkxZHpmM5nhGFZcLr8tFldOJXlBAv6bRl0jQG4uhCsJxC3vOlJB35p7KVcs4RyjPUAwVNgdAVYeJlevF4/niO37awypTChw8f9NMqvNHdzsPMrAn4aHMipCPQD6zgryk82ByCOXhw4fZt29fagibgz9FLuSJ/dXA5Yy39HAb6/hkQT2GvYdo+xtE299gEgIxaSJadC7pyR7dWYZQjmTIc/IrRzjw1HvZOUtYC8/HWnQ+rnteI+FN4v/hp4l3rU5pInatQJ0NvvPgF+rDWCoW8Y0DV9GmF3GBrYmfFT7E7Xvv5oAmMF7288TsI0yRZExj5vB9n2iS/SjtIAWLDXvF5dgrLsc0k2j9e4l3ryHetQY92ECs7SU8vMTLRRKHxOmcN+1qLOuDbM4fyzXhCn6hpSz+h0oMApbU2L/cdoRvpouJfr6kittnDBESz1TwmTLugwq2yjm4Pvef6IEDqX2nq69t0S2UswUQSNqqCYhTCTCZWLSCtrY22traULq6KCetgykIx1xZb+4M8sEX9hLSktw2vZRfXlaNKAjZ/MeTEfYfhiE6lBlDeDYYwXMYGYPk18yjGrAjiZXX1taesNfn/cqhNEzY1KvS8bevccMrm7lLFPiY7CRitWParNidVgSnnbwxYxD9Cq0FEGv5O4J/YTaUnQljGzYb4YIyTGEmQnAbkSkyzjHXnNBcmn0h/vJuC6/vPEQiGMKrxSnWYtwXfxqXq5+W6+ZBj0ihLOM0zUGkzNEBocn9RAt9eLecWstg02bDdLnwFwn0zegmGLFRs2sq98o2DLuNEo/CvKnjKXfqGGEnnZYCkpHDJLsPIBXXpEjcKe3YHEZIIwNB3m3sZNfBLkL+AF4tzoR4OzPYTv80K97QlEGkVezvh7Sz50TgAcZndi9JJO12ElYrCUVBs9nQrFY0m41OF/iL+4k5SmHSVWeMh/Jsk1876wjlSDqUAMGeHjZt2pQVKz/smcBX17YT0w2unljIo9cdv/3cIKJ6jDD2MGQe5CPkUGYFeSE1pqZhGAb79++ntbUVAMmVx0+OKKw+cjQUMctVwtf+vAfbVVegfuWLxLrWEO1YQfjIahzJFrSew4AHtXcHA7vux1GxBIt0jBzKY3koRxM2T22IMiDhqr4NV/VtNHR38eu3nuXe3uewVgSosrWC/wkeLwY/xZSPvxTF8Wk+0r6fl6Qk/1P6PxS2h/G1P4gg5+E2JBBEDC2EKLuPzuF453gooRxBNkgQJJSCmSgFM/FMu4sVDfv468YXuUjZzUJHA5PN3UTrd7PlcB2fWvgZIqbEJGdaZiJ97r678TA/facNSYAHr5zCR6YUD59L5vxmzmm6mEb2TkX2TsU95Q6Sqj8r7aP2bESKN1JAIwWAKRcSVeroN6rASC1+MikMmRB5UVHRoJDO+vYAH3mpnrCW5LMzyrj/0irEzLHntF08VQyVDTrnoTy7kWtHgSyhHE2s/GSugdPtoewIq/yhKcxzLTLdWoj/41O41m4gqSJlahjUMARzPpAWVlduE0kUBDF+801svYNt/0IgKUn0zzPwLQD1Lz/A2/bqsJzJTFg7bpXY1l/P451jeKVPZEC2ERddzJ1awSx7lPm2GC7PEuj6K/45bjrMhVRVVTF+/PhB+yXeB3+/nHCtndAnH0eMxIZ7Co+RW2mEwojRCGI8Tp6axHd1kIJIkFtfVY96RQE2Hf3TdXmEQB3wo8/h3m0dHroeqdBnNA+py4VeVMSGqMajnRovNYnEk+VQUk75BJmFzjievBgk95IsjhD+9QOIlvSi1DRBVY/tGR2aMzrkNUv6Z6hbKDJWQ5obJtHjooWrGBgYoLGx8ZQKe94rDMPIPkNzCeW5HMozFCPpUHa0tJAsKcFmt/NGspSfrU3lT947bxzfXVSFJB7fIA4tygHec1HOIONqsSBEo2zfto3evr7U63kl3Fev0tAfyH7mnrmV/FDsxJbUUgTZ6sU1/npc469n74o3sETrmVzSDGzD1OIEDzxM8MDDSHMVnB6wBTZh06sQLY7ciZCeCHBsQjnkALLHtbkzyEdfPkR/fDZf2/Qu1b2HuXXZdUwsPMKN3n0UGN2oh59FBT5ZLvGZgzL2shsxvHbU3s1oA/WYeME06HptCUrh+RT0FXJCKoejCZmP8qB79kAvn3/Tj24spPD8W7h5fgma7x1e2LOXu7zTSQgW7oitZkbyXUAhL7GKnx4q4Xk/WCWBP18zlWtG6ikOR73MmX2PICslWQtwjLsex7jrMQ2NhG8H8e50WD58CKe2GierCV4uUH7Aiy6ayIafRKKAQ4cOcejQoWxIp0G38/m1HUR1gztnlfPfiycN+v6yeZjvxUOZqfIeIeR9Dmcncgllpl3iaGLlJ4PTQSh1w+DvB/08squD11p8JE0TEJjoFCm85U6aL14JWoAW5RuICZkCRWF6ZSWKqmYrsO3qSyR4h9DVVchHJqVC12mCkuzvR4rF8NTr+BZA1NuD8NwmREa2Jz3LwpRVafxso5OHmlL3mWGREdwuopJEQlEwqkX65kD+kZV498Vx79uHPHbsIFImulzIzhq0SCMJpRelfCSRocGIakleaOrjsb3drO8IIpgGbj3B4jyJ7wk/xu7sJPDtf8Ua93Jo924Ihyl3OnEaBkQi2IQWAuwhPFUi77DnuKHrY0EtSNJ2Y5jJQZnvvD6Of1dsyB4PxSX55Oe76TwYRLPZsM4Yiyq0oG94ElvhgsFh/cLCQYVNJ4VEgkMdfby68zBr9rejpz3EpUaEO42nkIujYKgksWajQCdb2PNekXvdn23FjWc1odR1nQ6/n3GApOvY8wr4ZafC31o6sEoi/3PVVG6dPnrV71CMGEo/ESHyEySUpsWCAPR1d4MkEcofyz3v+PHFUwRFEuDnl0/hX2aNQdyQ9lYOycsURIWIZSrS+IuAbSjuGvKmLyDWsZLEwD6CtRDsfABe/A320gtTepflS7CI6Yt5BO9ltsBnFA8lpskrzT5uf/0A8aTBzVOKcL5rQTAEdoYnMXPxx5g6uwI91EK8azXx7tVovp1ok5NovU9Dr4hSeB6ums+h5T+H0i8iiBYSfZuJd1jJw4FX30SxGkMfsGM65iMIg0maMJqHcoSV50O7OvnKqmZM4LsXT+CedP7j0/1T+eI+CUOA79a/zd11ASSLB11I8C3m87y/BIcQ56FJK1lkNKGFFmNxTRjmncmmDWQKBY5TtCKIMtbieViL50HdvejhVuLda1M/R1J9vCWLRlXk++hyRdp7WUPMnMCrDV38sNVCwhS4eYyFL06wEIvFBhunjIfydORQpguDznkoz37kFls1NDRkixhHEis/GbyXopyDAzGE796Ot6sd1ZjGVbKThVY7ZYVuSu0m4z2FTNBtHExORBJ24dLrsVZ9kNrzzkOSJHIprK2nksDqTxOpMfHc+f1B+9m6dSu9PT1UjR2Lo/WraLQSfuDr2PQi4v0Btrd0sedgJ+F0GLcq0MJYmvHNsOOIlyOmcyuF/n6cgBMwu0x8dZB09VO9bT3SxpG9Yu4LY/gvAOOBL+CsLxvsEczxDB6Re2gVDvFU0xyO4MCQbVzocrJk2lhumlPLlPICAnu3Eml+nGhFFKnmZg67XKiqilxbi1RaCoCQCMJrlxIdbxBa/hyCYBkWuh7NW2iGQvj7Bgj5BhAjEfLiUQxHEBwqk+O9iGEB/MCh1LHVpI/RH4jTuwiSbz+Ic83jg45/xFzKY2lwOp1EFJG13Qd5oHss6zrTOeP2MmaPr+bq6aV8eEoxya1NqL2bcBotCJ55SJI0YmHPKcm7nQRyCWXGjiqKMmgB98+Ks5JQZgyWrusE0g/CkCOfL+83qPf5KXcq/OXGmcwr95zSuLnC5idSlGMeSzYofbHG43EShoENkAyDpvwq7lvfScJIje5WJJ5cVscVE1NeMTNz8Q0llOnxMr3BRRTya+8iv/YuzG99iVjvOkIfqCKm7ifWuZpY52rg21hdtUwAzKQ2KF8qPWjq1yiEUjBNPvHqPgwTvnz+GAJqkvZwgkrgBwsncPmcMQDInipkTxXuybcjf+VfUWM7CXxoBvHoLhK+bSR82wh/AuQBCfu4jyLZipAPbwKakMwIhYkVRN5dQUzJx1p6MbayS7AWX4QoO0fNocz1UJqmyU/eaeP7m1oRBfjlkmo+VZdaUPx2RztfX5Pq7vEzpZsvH1hF/Iq70LucfHR+JcuZjkeM83DZg8xINBDc+zfY+wCSsxJb6SJspYtRis5HEOXsd2Iew0N5LFhc43A6b+V77RfyYls97dyPJinoghuL1oFH68DDG6xS5/DD7k+RMAU+VBTjFq9Ec3Mzzc3Ngwp7CjOVhO9l5Z0eIynLSJKUFeM956E8e5EbBsyQyeLiYmbNmvWeKvtP1kOp6gYvN/XyyO4OVhzup+tgByU9ST7GnlE/M3ZKgs5rYFLDK4x5YBWm3T5M7sflctA7VUH17YQnH0J0l2XD2e729pSmZnEx9opL0Zr+zO7EPh6KXM+zTRoRbTxUjKesRuGTdeUsrDJh/fXoU0C79+mU/UyHcN9duRK1r49JxcVY1UeJJ3ZSf0MdRfpUCmV5GFlzRLvx00JkfILi9aPnFMofCVExRueBVQ0423IWi6+mfpkWC0wWiVwJ+tpHsD9Yz6x4HFWWyduxA6WkJEvKFHkCCa0Fvf7vKGULUq8XF2OWlIy4732+CH/e283T+3vwFaXsnUuW+PDkIu4Rf4QtuBX/b76KXZ6eJZ9qXx9t9fXI8ThjKyTgOcLTFAqic4cR15PJpTQsJkfuHGBGEnYd+QkFLje3TC3hE9NLqSs6uugJFy9IEUq9Acm9lGnTpqFpWlbz0ufzoes6oVBomLzb6ezYk7uQys1FPxsW5mcdoRQEISuuC5CUJdZMLOcmZQZ+X5S5ZW6euWEmY9zWkx57pCrvE+kRfiIeyu7u7qx00BaxnO9u6MhuU+m28sIHZ1FbnFMFnbmwRyGUI+lQyqYH2y4brtu+jD53BrGudUQ7VhLrXE1iYC+QjxEfoP3VK7FXLMGZdBMRJxGJxShieMjbNE3iBtgB0zD5r0UTWd8R5G8tfu5I7//K8fmM9NiwaAq2eiuWL91LsmoCqu9d4p2rSOx+Ds2bRDv4VGq7YB4gEpWq8cnFFNvaMUINxNpeIdaWEn+3Fs2lNGQip05AZnKZEwKAYZr8n7UH+e2ODmRR4OGrpnBjTarH7A83t/KjLam8yN9cXsOn16UKoSKI3JI3h7esxRQIOj+qdXHl4sdQfVtRu9YQ71pNMtJGpOVJIi1PIlicWEsuxBGtRLEbR+dykkbIME3uXdXMw7u7mJhIH4fkosn5NaZUWvAY+3mloY27u65AQ+ILea9yt+N1jGQ1ASFT2FOeDemUtLZyIRA3DFRVxWo9+WtfyAl5n23tws5hZMSHaPceS6z8ZJCxo6ZpDl+85uCAL8Ijuzt4fG8XfbGU7cyzWlh546Vc6F+O03sxntJlCOEw/W1tBNvbkeNx5HgcKRkGcw+RCUmSeS7EYAQhFkMYIonjtJiEJkP87d+Tt//ofTEj/QMQqFEpPeRlkvICc2J/4+eiBUNRkJ127G4Xwq4UCfU7ikgoAQzfA8hl0zGKiqC0FN1uJ1RcjL+yEq92OTTuJDZOpXf6dbgmThx23KahI7y+BLUkxMALjyMmFLY2d/HW3iPsPtiFU43h1eJcmdjBdHbhu3QsStu04bmVoRDOAyrCEoh5g4g736FcS5/r7dsH7dN9QQzfhZB86vu4NqTuadNiGVRhrTmctJZ3EsrvYf3W88kT3dws2ykuzmd+TTkXTK7AlmchGJhDMLiVuLoX6+Rrs/uIBoMcTHu1yy9ZjPjmCjT8hL/7FSR7ac4JyMmlHCFPNNIf4EBrD20dPgiHydPiVPbvwVIc49HLLCyqm48iDff+WosXAOBINqCln0+yLFNWVjaoY09G8/L96tgzkofybLGjZx2h7OzszOqiAewf42R2dT2PJn5Ep+NCbrz4o7hdp+apGVGH8kRC3hmJoSHbmqaZJb+maaJ5wAyZ/G57B6S7Fswtc/PcTTMpcw4hARmSMiRslC3yyRjpUaq8RdmFs/JqnJVXYxo6as+78Ot7ERDRo+2Emh6nklQP7XhrOnFcT5GKcDiMx5vPv61s4TeGiR343eVVPLy3ly1dIcqcCtOKnKkuZqN5IXJz/CQFW8lF2EouwvnVlSQKdfzfvpV41yrMZBPgwJFsokCrR3TPxjHl84CENrALtXcLau8mEn4HdqwM7PkJRuEOCqIDmROCbpjc9XYjT+7rwWERefK6aSwdl49hmnx9TQu/29mJIgo8es1Urq0qRFidZEC2cV2fl01WmfGRfn5YGqTYUY0gWbNz9cz4GnqoOS1JtIaEfxfxjreIA/47oHBbA0UNYCRDx3xw5iJpmNy9opHH63vwKBJP7V2Z+sqkVLGS6J7CikgdX2w9gI7JfVMjfMGbQO2xIcQaKKAhXdhTRFSpw29UYWqp7z0Qj/Pu+vW43e7sqvuEQzo5Vd6SJBGLxYBU3s/ZsLI+h8EIBoNs2bIl+391dTXV1dWnZexcz6dhGINCfeG+Droe/Cl7YgZ/CVcxINsYJ9tYMq6YG86bxAdmjkdOTqD9tWdJ2PbhvOa3CILA4d27sxJGsiwze/ZsrDu/hNq3ldAj/4m9eAFEo0dlftLkxOZfSSjxNKHLKnHOvBQhHMYMBjl4uAM1FMWViJPXFkHQEsiaiEwSm5EEXYVoCHqPdrRJlee5gOfTPylcQqqo0BQEDItAosTFGMsBpPBXkT2eo0U+bjeG14uZn49bryaW3MmrbzzMdwKX0RA1ATdymYfrJhVyVW0pF3u68K/5GNqEBPHb/3P4iU5371E2343avwX/92/n4N4kQijE+MJCPIKQPQ9WoxVYRWSqREFbZZa8iYEABFL5+xLgGBfCLNb5nLYOd3POc/Sto39KRTrBT4D27jM4/++GLCGVbTbmJhJoNhv2AwewF5USUfxoqx5G8S4ZHs7OyaVM6EneOtzPY/t6eD3kJ+mdBF6YmGfjk9NLmSD/FQ4/wjzrPhRpyYjXnSVvMobowmZ0YhiBYe/nduypqqp63zr2nPNQ/hOhsLAQq9WaZf7VHp3uWB41Shc1+nL8q5cTsJfiqLgMx5il2IrnpcKUJ4BTLsrJkL+cbQ3DoL6+nkD6Zo2LCt0X9tJTGOE78Sd4JXE+norF/ObaOTjkEUKmWSH0kT2UxggeytE65QiiBVvJ/NQmkpOKq/5MqPVNug+8hN04jMNoIl7iwKXtpDLaR+++Wr665jzeCBTxa0HgkMPLT7d20DgQZ0q+nedvqMWxIz3nk+itCyAgYPXJuKf8C+4p/4LU9Sis+hMJsRiTLnT/VsL+VHcLi3sSzok3IypepDV/B3pJxjqJND6Mvc2OHRuB1r/x6b96eb1DxGu18Oz107mg3DOIZDplkaevm84llV4AepICyxbezg5VZqoW4s01f6DlYx9CG5orKQjInmpkTzXuybeTVPtRezaQ2PM88dB2dDkCOIl2/A3/m+uwli7CVrYYa9E8BGl4qZFumNz5ZgN/OdCL1yqx/MY65q75Ver7TH/fr7aF+crmbpImfOeiCXx57ljgqnRhzzbiXSlZomSkFae2CieroMTCkRtAT/RiMfqzHXtyC3uO17FnaA5lhlCeLSvrcxgMl8tFXl4evnRhRn5+/mkbO/fBm1HdyODgvh3M/dtmaoGbeWfwB/+c+mU6HCg3KyTowfjabSSjeZTqOgU2G5rNRuW0acixGAPiOFS2Eqt/AfuUCSlZoOJizLJUmosJ2NRaeOkZoo4ONn34E3xr/WHWtAVIFh+1W+M8Nl4suA9n3I/bcwWFjmXg8yH4/TAwgBAIIIRC6LFuYuIh5KgVu8+Vsve6DoaBQCrCI2omlvbM82b0wpeUEFkek1jJraxME1IRLBKComAqCqbNilzsRrd3oLz97wie0pQGZX4+ZmEhRlERRnEx1rKFqP1biFnb6Ku5hEQiQX5dHbaccLZpJhFeW4rqCRB68AH6km6e3NfDM7uO4OvrJ0+LU6jH+ULedubxBoFl01Cil43YwccSDiFF95IoSJJM9iO3HyWkYzI73L4d9zSVyFWg7VqO4/U3h50DUxRJOl10zI4QmRxgxaGb+Jt7MXaLyI3VRXxyeikXj/EgCAJq38X4Dj+C2rsZpn5hxHMqCCKafTrWyBakyF5g/ojbZfB+dezJ9VCebalDZx2hVBSFWbNmsXlzSj9wav48Ir/4O64r5hBaVkO04220YDOh5icJNT+JKHuwl1+CY8xl2MsuRrSMnmg+qHo8R9j8BCaV+p0mf5qmsX37dvx+PwDtKvywzeTvmEgyLLHuZgm7QX+c4IZ56GMuS8n+OHL0DkfxUGYJZSbv8RSEzXVLOfX9tUScE5CMEG7Xm0RvXYcYF3AmG3EmG/ml9wWanRVsu8jJJ52foWsgzuwCK09fN4Vyj23U6uphOA7hFC0pT21QPo9G18XMqZYw+zeldCRDLeihFgAiFym4ikCe9gGc47yIm94EYvyxNZ/XDZFiKcBj1eupix8mHFzIHWsCvNLiJ99m4fnra5lblpIoOhJSuSFZRaPXxixrktdaV1MeD9IsCMddQUrWfByV1+JpcWH7aQvxGZXAEbB6SMa6iB56luihZxEkG9biBSmCWboIyV6CljT47N8P8EKTjwKbhZduqmNmsSvr1TYsFlYNiPxybzeGCf+1aCJ3zc6a53RhzwVYiy8gb8ZX0cOH03qb60j0vUNkogE0Uh35HoZ1HGHLdPqNamLm+GEhnYz3clBIJ0fY/ByhPPshiiKzZ89m1apV6Lp+WrvaDPVQ5qJ2+gV0LABbPI6z6AosKoPFxNPC4c5GgcRciOp7Kdpux507yNq1AHgKkvhvg1jzqyjfXJeVzRnUycbtwSgtoOJwjO0v3sdisZyZso2wbKVMMbi+zMbsSbX0JmYSMlcRFveQf/kvRjwu09DofvEiTH2AyutfwRBd7NixI0XKdZ0SQaDa7ca/+yHs6k6SA9UIvnKUWIz+mM7BpEJAkHEmE1RoAWbRhqgKWEJSmpAaoKWE2zMtFr2dFlKP8e0jzgnADZQoXgz5DSrUlRiSBcFmQ3Q4MO32VMGLx4Nt9sp6+gAAIABJREFUsodYXoA1D93HM21zaLXmEXF4yC8t5WMzx/CxaSUUGRfSs+IN4o5O1OtvGdUmKtu+SaztFXw/vwtXfop4hjs7adm1C0VVqRs3DkukG/gNkRqRRGIJYjiSlj4KkQiEkCIRbKEgNjNKzKWxuLiduouq+WBNEZ4hEn9KwSwEyYbWv2eY5FwuVGuaUEZ3j3q+RsLJduw5VmFPbrees6248awjlJBaXWeQVBRKE1GS/Q4sM+4hf8Y9aKFDRNvfJtrxNqpvB5HWl4m0vgyigr30IhxpAidZCwaNezpaL0ajUbZu3ZoNdR8WPHyjOUbYEAivmsSceBtvf+nDTCs4SLx7A/GejcR7NuLf/n0U73QcY5biqFiKcpyinBE9lMcilKQLfZJJNm3aRCKRwDTh6b48vP4S7hVFEoVHjb9pglcM8ovKRcSjIkute/m/3l20bpnGEe9s5qsqLsA8gZD3sU/eUcJpCgpy8QIc46/ANA20gX3Eu1ejdq1BC+wnOB1IvAgtMk6hEojRZ3gYZw3xcPGvqAx30b7jbe7qDbMpPoVSReO5y13MLE0tIpoGYtywfA9t2FjYd4hnLyiiaN9RHcgTvuGTSQRDQE6kjJqz+haEy5ZmBdUTvu3Eu1YR71pFADDctdzTfStv9OZR4pB56aY6phemFzbp77fPlPjFEQkT+Mklk/j8rNF7JQNYXONxuT6Jq+qTiK+/iPH8jwleUk60yA9qKx61FQ9gSm5UWx39RjUhaXK2Y09TU9Ogwp6Kc0U5/98hU3l6ugllrkdyKKEUCwsxb72C3pa/oM+aRt7kTw0fIJlEOrQGtn2RzvleDkz+KF5JIuHzYU8mqS4thVAIKRzCor6IlhdDnTUGa1cyS0gbsfKHokk8WnYef+jsZdq+Nm5mP7B/+P5egBKHQegOMPu7kBdehCBaUot6WQarFdNmA4eDUq+XuENHP/B1fPFiPIqC4nIR93gomDkTy/TpDAhXQtdW1Gqd72mf4dXWINGc02sXTS7yGPwq7yuIaFiqv0xR1c2I/f2IPT2IfX0IPh9Cfz+J/j3EYluwRgtw9Y9BiEYhHk85OjQt6yGVEgJSQgCSSHoytUAMDA775vWrxK6EudHdXP9Oy6D3TEg5HSwWbIUedPsA9j/fjGD1pAip243p8WQ9pG6rFz0goh1eg1l5AxQUoLpc9EYiiKLIlEsvBcCy8g30YCOhuz7Mu9ExPFbfzfLGPqJ66roYo8DXKw9xhf5TLpoSpahuZFUWQZRRCs9H7VmP2vcu9vKRw96qdRoAUnjXCachDduXIOByuXC5XEyYMOGkC3sy91Ju6tDZYkfPSkI5yGBlutTkJJjL7gnkTf0seVM/ix7rJdaxgmjH28S6NxHrXEWscxU+RKxFs9Pk8jJkV+WpC5tn+h+HQmzcuBFN0xBFkUbXOO7b0EEyvXJOShYsMZElU6/HrKnB0GPEuzcQ7VhBtGMViYF6EgP1DOz9NRalFPclURy6D4uhpwwcx8mhHCXknYUgYOo6iUQCSVb4bavBaz6Ry0MTmPhaHn+fPJ6nFkzipry9TJEaKZTCfLfwGb5d8BcETIQkEFuPEVMwo6kQ2e7tG5BNM3sznS4BWUEQUfJrUfJrYeoXsPzw68S71hC8eiIxvRFinYCNrxS8wB3V23CWXkWAAj67pZCdcS9jLX08UvQrinf76G4oor1rATeHL6PHkLnCDPDChj8jLPpq9lyZJ+ChzGJoi01JGkTwDC2I2rOReNdaAl2b+GLTYtbG8yiRBni05HEqWqcRSyxKJZGnPZQHdRkTgR/MLzsumRwKSRNxNilYZy8l/vE70Qb2pgTVu9ahBeqxRTZSzkbKEdHtkwmKUxkwa4hFy7KFPc6eHopIhbyTup5dWZ8O7bTly5fzgx/84P+xd97xcVT32v/OzPai3VXvkqvcsY2xHcAFbHo1kAshhCSk3BRSyE1CSL03hZDebkISQnMg9NBMaDa4YBv3IsuybMtqVllJq11tn532/jFaNcsFMHl5efl9PvuxtTtz5szZs2ee8yvPg9PpRBRF/vSnPzF9+vR33O4H9s5stEjE6bITeSgBXKXnET/yOKmOtWMCyqQss6tdoBQnNqmL3PPm4cwp4/CePdjtdsadNwQmnLtEYof/QfQrF2Mb/wmePtTD/Xva2dA+BKZerJ7PnPJ6hLREUWo5QiyGHAqhJxJYNQ2rpiEpCvZuCblQI12i4eoQzLVBls2w70BbPsCHC9jHWBwiBjBXENG9PnRHkFuNX3GD1UO/xYHVKjHDkqHEopKy21Gn5qAXhJB3/4PaPVac1dX4x48nd/r0wdQUPdNP+MXzECxRhEueO276VmTnj0gf+ieJzHmofVUEnB7WdySoi2TQdJ1AJkW10M0CNpIYp6C5nIiqNiJkj65DJoOzU8IMYPcMvI41BxDAB+wDLsIAPKJIuSiiSxLS738PDgfWeRHUCXDg/m/waPtFJKwOPmRzMKWqiAunV7BoShmSaw6dL/+eTH8tupoaIkIfZfbChcjdG8n0bDkuoFSlfDJCHjalFy3RisVTNeZxb8XeamFPds3UNO20Asr3wjr6vgeUWSLm41VjW5wFeCdcj3fC9ehKnFTXBhLtq0l1rkfu3YHcu4Pwnp9j9dUg5p2DXfMji2Vvi9g82N6OMnMmNpuN1UYJvx5WyV1sF5hR4ofelkFAIlqcJqAtW4ZhaMih3STbTfCrxlsJz4EwdYjPnTsYthcNMzfvhB7KMRbxo0ePUgVIhoFod/LHkJeXQhGcosFV43zwBmSiDprFJbwRuI5P1LWyyLmfr+ivU+FvwxiWMiKQITazD0lzUNz/ByKHnqXtyHQa7LPIKZxGfn4+1W8xt/JkZsk4Cey107riS3y4SeFnyZWs4DBY3BA/zJFID5/u/iKHFD81rhj/WBClULgMuXsT/f2tXN97Dt02K1cU6jzc3oBLU0iJIsLAWBmiOKQ8czIbxUM5uspbtObgLLsIvXA5t7bUsSEdpcwhs7LiacoyB0i2HiDZ+jSIVtYE5nNNYj8ZUeLWMpWbao5Dpn4iG6aUYwLxmabW+ZQvoKW6SXdvRO5aj9zzJpbUAXI5MFDYU0jSNp2wPhExM5RDefvtt9Pd3U15eTmRSARd19/2RmHr1q3cfPPNbN++nZqaGlauXMlFF11EfX09Xu/YYasP7N9n75ZMYtbGatdRuABBcpDu3YGWiSLZhqBZOBxm586dKIpCwjqNHGUHBdZmkmLFmO25SpZivPQEXU1P852oyFGsRKxOxuV4uXJWFR8/o4wpuUtpfeo+QMG15DqchfNpqK+npaWF4uJiZs8eIBd//Wbo3U73Z6spmfJLCAYRe3qgr28wnzIT6iAlbEFMSdjaCnEYBkY6ja5pyEhIho5LUyAqQlRkCa3HHadkp0rb9eBK9DLtkXuAIcUwY8BbiM2GJd+H4paxv/BJJGeR6S30+dD9fggE0PPycDrHkXQY9Nra+ETiatrTIuQCuaak7hkFbm6fXwH7L0W3Z+j58xdwV1w+1JlMBnp6EHt6yDS/Tvzow9jVSvzyAoRo1OTcTJiV9FkPqWKLIahgiYsIBqanVNeRVHXweZy3R+HoBKi0Bbl/59ND19swciw8di+aTUF46pPgLxqTk9Ir6ehNVuh9A9F5yHzf6wWXa9CZous6CctkbMpmc707DYByuI0u7Emn04Oh8WxhTzY6+cADD7B582YmTJhAIpFAUZS3Tar+XllH35eAMruz1jQN9SSAcriZlc+X4K64BEPLkOrZQrJ9DamO11D6G6C/gXGAIgSId80kACCnT9imYRh0hUJUAKKqYnd7uKfPyz8PdQ4eU+PUuWuWB3fTQKHGaA8XpmygI/9MHPlnEpj1dZQjb5L5wxeJT5VI50YHw/b5WHFKEzH6lpgnDgOUxhghb8MwOHz4MI2NjVSJIoKq8qOjTrYFI+Ra4XyfzhMNMW4FymwGORb4ZW0fkuDh0g99lPN+sBnCfkL3fZ90+E3SXevQ00FiNQqxGgV0cGlNuLQmyKxCjhfQ0zodt6WdEsGgq7MTT0XFyT1dJwNzhsFOXwkX7VfpVQUERwlwGP8Zt9MxpZibXwnRotg5w9bEX3Lvxn0kSUK0Yy+YT3HZxfx841o26CX84tr/wP4PM/8WURwE32/FQ5ktlMoePRaxeVRW+fDz+9ncEaU6x8Gqa+ZRmbMMNdmO3GWSmt/T6GBz9Rlcc3Q/5W6B5YG3B9xOpOUtOQtxV63AXbUCQ8sgh7YjBzeQ7tqAljyKW+nGzes45RxAIqmE2LNnD8qA5/Tee+9l1apV3HDDDfz2t799y3372c9+xqWXXkpNTQ0AN910E9/85jd58MEHufXWW99yex/Y6bV320M5Vrui5MBR9CFSHa+T6noDT+WlAHR0dFBbW4thGNhsNoqrryRZu4Nk51rEyeZ6l+XI7ZdVHq8P8vdagQ2vuyhLhHmev424jvGUAAP5lN75TmLjEyj3fhevvoQyRcEhyzgKChA7O8HjwaefSTfbyUQaIDcXyssHc9WH968q3ohDP4p3wXdYq0/h1+v2sb5XQTXMYyusOt+wP8Nl4lqsaoAC16cQwmGzojoaHaTLsaWTCJkG5CKNTI6ANQYYhplPOeAtJJPBHQewA+0Dr2PNYTUIfQ4qjUPsfP6n9Asu4hY7bhGqJRXJ6YB1LjpnuUiUZVBf+RNWqRcjN9esti4oQC8sRC8pQZw+geSLD5ESO3Fc+rXjekWjdb8jfvh+vFO+gHfcJ3hm/S7+sb2ZUFrHoyn4MylKtTBf0h8lWaaSuvpiLAltTKogMZlElCWIBaE1eNy55cEDJOChzw59z4IALheGx8NZokhvZZLMh6Br7YNMGHf9cds6HeZwOI4p7GlpaaG/v5/t27fT2WnigMbGRvLz87nwwgtZuXLlW478vFfW0fcloARz0dI0bVB7mPSJgd9oEyQbruJFuIoXYcz9PnLfXvqbXqS/+SVsRg/pvjcBN/GDj5HYFsRVugxH0dkj3PGaprFv3z4YAJRJu5v/bnWwpXOosu+ScjefyAnjtxhDwOMkVESCIGDLmYh3m5NAsJLUfb8j1fG6GRrv2oxHq4f2eiCAIUeJHLgHV+n5OEZpeeu6Tl1d3SDdRtaruaMrSk2um8mWFE/2SJwzAI0U3eD5kIRLElh52VQurM4FQUDUBBy583FUno8x6w6U/gNoD95B0tWGXDjygWE3erAra4ktguQ8gXjvX2nZsAsjZy55heWcYRgjweMoT+bxQN0GyceKRbcQVeGaSflcrAZgL9RlJK5YnaErZWdphY+V5y3F0mch3bWWTO8O5OAG5OAGFi6CJUGJVFDHau3BimECymzI+60Auew52b9HnRuRVa55po7twRgT/U6eXzFjkBfV4irDMv4G7o2cy519zVyqmjldeQ4LTSe4/xPawHw6mZb3cPqmnBnfRI03Iwc30HDwFapV05PSIQX43e9+x/3338+OHTvQdZ1gMDg4h96qrVmzhu9+97uDf4uiyJlnnsnq1as/AJTvAXsnqjbHM2Fgc2YYxnE9n66S80xA2fk67opLaGxs5PDhw4CZI3/mmWdikxSS+35IOrgZ9yQFw4B9MZ1HX9zPUw3dpAby8A5M8lMl9yDapuHGM0QdlC30icfJ2Qex8ZC2diE9/S8KyNIADZkfg9BnBDR3BvGa5ViSlkEvWcZmwwPMczgQ7G7skpNdG//Ai/JMSqwOLrE5mFTi55I5E8nRo0RiM1FUk4dRvuI6RHHs36bwysUYqS6C/70E/5wfmKCkvZ3Y4cOkW1qwhMO4Um3kWN9ASLixdE7GqapYFYUeRaBbE8hoOj4ljbUzhVYu4y6IUdgy9vMwkFBJXAe63I3jiQeP+dwwv0BcHg+qS8d6/1WIkscs7nG5zPEYyKV058eJu6Fx7zN8/IUqOgQbsqsMXCYJ+lUT8/jyh6pg/YsYSj99F/nImfK5MfulhOoIrb4Jm6WK/Jk/P66+udL6Bka4HZulGkl1jNT9TiTwAq6wzuGF4HR3kczIuGxvnZf37Vi2sCeZTNLf3893v/tdHnvsMTZu3Igsy8RiMfbu3fu20ojeK+vo+xZQSpKEoiio2RzKUyEgP44JgogjbzaGq4ZdPbOx6d0sqKwDNkImQ7z5GeLNzyBIDpxF5+AqW4Yl/2x27ztCJBKhSJKo9xZwWdFimjujg+1+c0EVn6yQaDgQNnfWpwgogcFjBU3D4iwcDNvv2PYG6a6NFDuaMYQ9oBlEan9DpPY3WPN9eM5N49SaEBSZPXtq6R3QDI/lFBPXRXKBc0o8lPg9PH4ghVUw+Pz0PFgP/Rkdn2TwtyWlJpiEIbA0APwEQcDmn4qzdQKFO/vp/+3/kPJ2kO5ah9y7DYwh76vmNHCyn7L0fvT030mGJmMYGhgi9fX15OfnU5L1EJ5gKF5q6uPmnLmkBYlbiiR+dVEN4oEX2RIo55IWB2E9w+Xjc7nv4ik4LCL4P4Jn/EfQlThy9yaTR7LxReQiDbltJbFxYPmUgCP1BEWy+X29paKc0R7mYR7KUEphxTP72N2TYEqui+dXzKDIPfJh8sttbfxwcwsWUeCOg+uBIdqgtxVaznoo34L0oiAIWL3j+NV+iTsPj6dN/gXlRCn3+ymaNIlf/epX6LrOnXfeSW5u7tviKMxWSBYXj0y0Ly4uZtu2bcc56wP7d9m7lUMJDBb7HA9QOktMj2OqcwN79+yis8vke8zPz2f27NkDOYROHP45KB07eGHHGn54qJT2jAB0IQkCV07M55MzSynmFrp2/gB3ZTG2BT8feSFVhUQCMdQG2/+DZKVK6r+/QV9LL+G2NnyiSKnHM6jx7QitJeFOEJsuENhjM8O90SgOzLzBIXOwjFaWjQ5p/3Pov803mjmZ0leuxamWjykx6BXK6fd0oTSuQ7TVIXo8FHg85J9zDsbSpURjMXp7utH3b0MyImyyXcyLkTxeC4uEVHO9sosCV0zI5T8tf6EiuZbGq70Eyn9EnqqaxT19fYjhMEJ/P9Z4GLTXSJWoZMr8WGK6GeFQVXOjbBgIhoE1JmKNiUBq4HWsWSSD7s9BoaWDQy//FCkjIIsWk4cyLwC1HoxXPYTK3ESq+zE2/hPbLt8Iecnsy+ouQnD5SevNKBV+JOfkMa+ZbB1HZNf3cJZV4J37U1a3hHlof5BXGntwyWn8SppxRoo71Qfw2TuxxA9C7swx23q3LPtbqqmpwePxkE6nueWWW1i2bNlIFbpTtPfSOvq+BJTDF0I1G+Z9ix7KsUwURRAEMlIRtooyYCOe4gtQ5swi2b6adM82kh1m9biBiFcaj2CZQXvhNC5a/Bmioum9tIgCf7ygho/PLB2UNBte6COo6knlHDlOlbdocROznkFexVVg+RwCBt6JN5HseA0l2UF4HoS1v6I99wgWaSoeywyOBM7ntm39HBnwRHokgccPdOOR4IulKs80Jvgo4BQM7hqvMCMwbEc3Wjt7aLDMe7Xm4x6/GPf4GwYA3EYTXDa9gm4d6ruAjkc7QLLMjbPTgu3wN+honk6mUWDKCYbhsQPdfH71IVRB4o6GdXzn7IvQRYHXDA/XnfsJErrAR6YU8sflk7CIIwGhaPXgLLsQZ9mFuH5zBNloJfy1y5AP/wvFGyMuv0F+IgcLEkXyE2Ti56ClK5AcJ8ljHD0WA4CyJ5nhyqf3URdKMjPfzbNXzyDfNQTyDMPgrq1t/HRLK1ZR4MHlEzj3qYH58Q4A5YlC3ieyX2xr484trdhEgYJstsRAlXe2KKe8vJyPfexjb7lPMMTBNlq5x263D372gf3ftXcjhxJOLr9ocRZg9U9HidQROboJLBOprKxkypQpZvRJN1jT0kd6XwEffsLPRP7MjZKNqM2BxZdDTn4AazAH9npQfBLhUki1rEHofhYhxz9CghGPB6l6GmKtHz0Tob+4ici4K2g8fJi8vDwKzzpraDx23wWHVhJaKuH4xSs8v34bq+q72NebwZo2AUupkeaHrn/glGV85TfR1xZEjUTIEQRcmkamrw8xkcDdkkYuTJH29uDZHB9zHPJdOv2fBU0L4/rSFxGMYVKyVisej4dij4fW+TaUCijb+Ajnt49jrtWB6LJT5rdTFbAjHXXg9heCDWxGN0pZGVpJyZjXFF88Hz3TR/e3FuObcdvID3Ud4nHUxo1Edn0Hm15CnvU/EMNhIuEYtf0yjUmT2iiQSTGpuxZnWT/BqTYKjziwJhLYk3FIDt2vr0klUg2K0Iv9r3897pzxArrFj/HALeDLH8qhHAZARa9BxAnR1vVcvPV16lVzzbNLEstmVTFH72GKLYM/ZzFGx2PIPW9i+zcDyuG0Qdl1Ljc3lxtvvPFttfdeWkffl4AShuX+CIKZO/gOPJRZG5FMnvUQ6hI5Ez9CzsSPoGX66T74AqHDq3Ap+3Frh3Frh7Ebr1Dh+SJ1mSp8NoHHrjqDpVW5I9rUdf24corHucExjx2UXjQM8xhFIW/Ot8mdfQfa/XeS2vcUvXOcSI4wfn0rfmUruYmHuMs/BW16CrVeZ31LHxWBHD5dlOEPLRaqEuY1alzQNzo6MEzne0wQPOyBYQK4i3CWXYTjkRRKcBvhTy8ildmLljRDpu3XJBDTAk69H2fmKAHZDrjwqAdwqSXU7nVQWFRKfn4+Dx+O8o31Jr3FXbED3L5/NUnhYlY1hviEVENGEPlCnsadF0w6aUGNoBm4uqzoE7+AfVUGY/cawrdeiCCuBxTcRgP20AGCL9+HNTATR/FiHMVLsHgnHuO5HE02b0gSXYkMV/yzloZwijmFHp6+ejq5jpFg8kdvtvLLbW3YRIG/XzaVSwqGAGAWUL6bIe/h9tsdR/nR5hasA32xvZAxlT4kaQQP5Tup8s6eK4/6bcqyfFqqxz+wd27vlofyZKH0eDxOjzIeP3V41P1Uz7yCqqoqWvpTrNzXyYP7Ojkak/lIXzFX5WiIsoRbzuBJZSAVha6jQ/cAOG6QSBenUFfeiavj2MeeIQjkzdPoOQe0f/2D6oP7yDUMBJ8PadMm8HrB48HvqCTdI0I6yg++9xvWGwW0unx0OXI5e1KA/5hZyjWTC0nuOkpf6yqEedU0hc+ju7ubqqoqqqqqaGhoIBgMUuXajzP4N/oWGDg/9+BQ+HYgFJ8N6Vpif0P1KsTOLcXd4xt8n1jMpBIKh8l3yXRWwHRfMxdu7B1zTA0MjnxaQPVolH/ueixpk4OSrFrPwCsn4CdS3oe+619YWyYf4y00PB6kmctQOu8io7SzfvLZ3Hcww2tSGH1grz054OTm6UVMS/8GetaQutJD07Q/sb+uDrcksXD69MF7NKIRhK4vk8nTiX38Uuwpz5iE6UT7EBIpxEgCIokx79EO2D4mQl6SmngdzqpF3DS1iGsnFxBwWNiwoRtFAdE/F63jMeTeLXhrPnPqE/c0WHbOD+ehfL+so+9/QKlp4HCYib66fkw+29tpExjKzRxW5d0RjLK/PQ/DcTP2HIG6dJBU1zpEQacuU0WFpYe/5P+ZiXU2+iJm9TaYagUjqIjeQsj7eMTmWUAppNNmmEIQ0NMB8rc46fIu5+jZ0+lQWhH6NnKW4xAXuPYSXQLRRfAP/W6SZR/mMztKiGsiV+WbnlXrAGQc4ZYfrZ096v3R+t+DHyPhOmrFKPgY3qlTByQM16G8fjfp4iFAlj3bobdSmfoLWspBvGcK3+6/iAdCFYjATxeWctuzLwLwUI/G5zfVowsiP6h/jW9+eBHaqYCwYdXc6Dq2iITXeyEW2wGgnS7HtXjdR3HI+1DCe1HCe4nV/y+SqxRH0RLsxYux588zE9QHvpPsvfcpBhc/uZcj/WnmF3t56qrp+IYR8xqGwfc3NvO7ne04JFMacnlVACEcHurevzHk/b872/n+xmYsosDKS6ZwSXUAZNncRAnCadPyzsvLw+fz0dXVNeL9rq4uxo8f/7bb/cBOn73bgHIsD2UoFGLXrl1IxmT8QI7UxI60k1uf3M3q5r7BNWFWgYcFyz5Cy7mvoSdaaHJ+DU3NZ+mZZ2JNp0eQoTvjq0izjtgl47G3TztGgpFYDE+DSs85kCpMUvpcPe5sWd3WrRjAm7kV3Fs1lzsSBUw4mOEXDFUlZ3MLs1yNXg+kA27Ef/2BmekSkpKENS8PZ0kJZZqGA3BVlCGqIrpTJu1NYqucNuZYCRvehL5d9F5go2/e73m8oYe/7+9iX08Cl6YQUNJclS/zJX5IosZC8ozbEROpISAWi6GEw2jhMLbgHlRPithEndxdCmI4DMPWGYCAXyPyCVAIYf/lLwYJ4Udb/2UyyUkw654v8f3WYm6zO/Hl+akszaPQk4tx2EPaUkFQAi3Sgr2pCVckghgImMU+BUNZquKrpWjJdsKz4gTmfmPM62mpIMGXL0IScila+AhCPE5dc5A3Gtqpb+nGmU7hV1Isju2kMq+JHy7WqV44e0Qb2fkm+WehiXYyod0npCJ6N2ywD8N4KB2OY5XTTtXeS+vo+xZQjtgB2+2QSJheynfwABzBdj8sN9MwDBoaGmhubgbA7snh7h43zzVacVg+xv1n5HD31ntYNKEDh9+KmmgjevABogcfAKufYmpIC3MxskUzp+KhPEVAmT2mq7eXVEcHUwCLIPCwMoWHDuRjk87ke/Pzqat/hR/2PgLlSVo0N1/fWkgGkSs9e/hWwPQeZgHSCEA5KodyWEdOfg/D+pyVMPTc+hiqSyP0uy8SbF6NZuwecaxopNkbl9kWM7Ci8JPCl1nQZyfc08Gj4xfylYMmePpV5ghfO/A6KWnJqXUi+2AbVtmNJA3+P2o7A7H4aqqn1QwQk68jHVyPlmgj0fQIiaZHECxu7IUfwiOKWBz64Dj9dEc7R/JyOLcsh8eumIbXNhJMfmtDE3fv7sBpEXnsimksHZCAHD4P/l0h77t3d/DtN5qQBHjg4hqIAkMOAAAgAElEQVQum5AHmQyCYQxScAmCMBhKeac74PPPP5/t27cP/m0YBjt37uQ73/nOO2r3A3vnJgxsHuDdyaGEYwFlW1sb+/fvxzAMLK7x3L/tGu6zz6enYR8AOYbKDZYYt3hl5nidCL39hIQa+mkhN7aDPusy9EDADGUzbEMarobV60iUJfDf8r2xO6WqCE+fieZROPKtqwi2eYkZVp7K5PJs2k631ZzrF7bVUlTdgBG14Y5KphrZQG4hmgaahlUGa8gGKEArHoCmJgAqBl6m+cx+/vFzgGiuORaLGU1wODCcTopykiRz7IStzfzPqnvosbhwWh0s9rq5cEoxK+bNoaIoQM+6J1EidSTPLMSeN/eY2xOA9pe+SkBeS/d5Enuuv4tUKIQ1nR582TIZfKKAKP8ZNUcnfu1CHIkAxONo0RjRUAS1P4pLTpHTZALKQGEf03cNeMc6gGEiNHYMQreIqDkaJT+7nap+83s3fvzjwcprw+MhUCXQOwvYsQb75sIx80lFrxeLqxI11cq9hw7wh0Y3R/p1oASpvIQLq3O5aVohM5x1RLd9Ba9+LEl9dk0WJTu2vNlkeraQCe3EUXTO2HPiXbDhHsrTEemB9846+r4ElMNzKHVdhyz6Pw2AUhRFdF1HG2jfyGTYtWsX3d1m0rjFX8D3Duts7wpR6LLy5IpZLJDD2PbuRVenkfmvv6JED5FsX02yfQ2ZSD1+toCyhVirlwAW5K7tiJmzR/CvHWOSZNIhHE8pR9cHAWXLkSPUHznCxIHPNifsPHSgF5/dwm3zKrlzSzMpdQ6/3bCeJ/LG85VZl2Mg8FnfWm7zPYkUEgEfNrmJovST0H8hRmkRgmQbIlAf7Wk4nudy9OdjmCUpsU08n4/sL+bWSBl3sZqUVIYqBLEQZ5GznkXOemTDgl1QMdLwh/zL+XHxxYjo3FbSw41bzVUtk8lwShBsGKAUxgCX2aIcU+JwPvaC+eTM+Dpq7Ajp4HrkrnVk+vaS7lhN2gO9n4XiVw/jA3Slj/MqfDxy+bQRuuy6YfD1tUf4W20nbqvIE1dM59xy31Cfhnmq31HIexgP5Ynsr3s6uH39ESQB7rt4CldOzB9xvj4AKNVhc+6dLoTf+ta3WL58OQcPHmTy5Mk8/PDDSJLExz8+hkLKB/Zvt39XDqVhGBw8eJCmAdCVk5PD3Llz+efre+mxeji3t5lPt+zguvY63NrICE5OuUL/dVDU8wbzH9sLv/mNOde9XpOH0ONB8riRznSgRA+j3/NzrK6yAelF74h8SqtnIploPZuSjdyWuX6wsAUrWASY4dZJLppLu7EDBInKa/YMbfLicejuRggGEXp7CTX+ET3eiTU8G71bx20YODUNNRaDdBqLpoGYwRB1pJRgAlJVNYFtOg1RsyDQDbhxUQA8zBMjB3KV+Y8BuGygenIQHvwGFiNnEJAOAjOfj8KYiLXIgmaPc1aRijJlCt2iSG8kMsiT2AlUJwpw6EEaJ3axLe8TvBjUeLGln7Rmfl8lbhufmShwY+QzJGY6iV/zZ8RE8tjK61gMe/Ip1Jx+wmc6cOwLYJdl7JnMYOU1wSC+Tp3eWZDxJrD+5YnjekU9S5JE5kD1+rs54rmVyQEnN00r4oYphRQPFDfq6llEBQtyaCeGJiNI9sE5Njx/0VqwkEzPFuSeLf9WQDm8D6eL2Py9so6+LwEljAzVGHa7OT1PU2GOruuDHspEODwIJrX8Cr60I0JbTGZanpt/XjOLap8T42jMPFlRzCpo32Rsvsn4p32BYFstzbsewavtwxA6AAuJw08See5xHIXzcZUuw1V2PhZn0bGdsVhOnkMJHDxwAGw2DIf58G/uS1A2wc7HZ5Tww01H0A24bV4Fv+1YzF2lcxAF+N2yyUyLWWiJljNZPARsQjA0AsomaNxEV8svsBeejVYZwdutH99DebKqtTE+1w2D656tI6MbnFUcgFqISjP4VOhLZDKtXOKp4yP5B7CnWwYvteKsVylMtlEhR5hqa8GR8AEiLQfW0JvjIK+gjPz8/GN0VYcuOgxEZr0xo2iDjsmVFASsOROw5kzAO+mTaHIfcvANMpseICE1IegJwM63858k5XkDpWEJcvESbLmzMQQLX33tMA/UBfFaJZ66ajoLS0duIITT5aHMAtMTAMr7ajv5+rojiAL89cIaVkzKHzpfHiI1h5G5Ou90IZw/fz4PPvggN95446DCw8svv/wBqfl7xP4dOZSqqlJbW0swaPILFhUVMWvWLCRJ4ovX1vDhjT9m+rQC8q/6KsTjKPE4QjQ6CFxssX5EdRXpYpX+Ei/ehGCClVAIIWRStImAx63TPxPSux7DuefYEGOzy8/jcydw+xtdjLfWscTyKyJWBymLjYCgUaKn0Gw2NJeDvosFdLuG+tdv48idC3l56AUFUFyMUVmJYbEg1LcT2/d75EAhTeoyysvLGT9+PIcOHaKzs5Pi4mImVTjoee0aMKD43JdJBEPcs62Fza0RxHSKgJLCr6T5uHU9E/VuhJgfX9gDsjxUfa2b66+UAalPAnQgMua4mwHQgd/Wo6b3KpchaUVDktAlibBfwBZw0Wtpp0N5jEqrkxutdipdEmeXellQXY6UW0h3rJqM0oxcqGPzzxn7y96nQOPfCc9VaDjnP/F4PMyfP99cW4dzTe67Cc2pEP7iBbi0iQjxOKGeMG0dvURCETzpFIGeHiQ6KK+M8eqyWcwvPnY9Fy0ubLmzyIR2kunbjb1gATAysiaKIvaChcT4HXLPmyeerKfZxgKU73Rj/l5ZR/+/AJQMVD8Jsnzy6ulTaFdVVRLZQgdZRhAEQrnVfGVTF7GMxvLqXB6+YsZQnlz2QT5GbqTFVUrYtph+cSkzphyAHY9h9U5GEA6ZWt7BTfTt+hG23JkD4HIZtpwJ2c4cU2w0fOef0TTsmCS4GW8BT/eIzACKnBZWTC7gzjebEYCfL53Inu44D5fOwaEprFw+gStnl/PGG82kpUqMkunAJhRLOUH7JAqtjRCvJ93xKumzIDgX7Pu+gb3qIrNQxVV66oBylOmGgaobZHSDby+o5LImM7l+bb/ElpiFYlcNV118LVV5btLRZh574yn8sc3MtTdyoWcPDMi4950VQ3fYCRirsXatIdE7mUOWGWScZxAoHD8oBTmYFztWyHs4oDwFz6Bkz8VVeSVHn+vhynQRf08+wfm0Ijj96Mk2Eo0PkWh8CN2Sww+in+eJngpybCL/vGo680vG8EYPmy/Gu+ihXFnXxVdfb0QA/nzBZD5cM4qBL6vjPQagdLvdb70/o2zFihWsWLHiHbfzgZ1+e7dC3tl2M5kMW7duJTrgjRs3bhyTJ08enOeTZpyHo/E7RPUefGdOQ7L5xmzPvilNqv0ldn38bGae9zU8bjckkyNyJB09G+iP3E3svDK8866GWIxMPMGzspP7rMWscRRSlInxX7btWDMClUo/lan+Ma+n1tuIzJZR6l7Fu3OkrEt2xSuwivgCXnTLBiZF9yK4XFh8PmpEkTJRRMrPxzVuHM60E80u842nnuThxFSSkgf8JhCYkuvktnkVFCXj9LQ9jej0YblwlJcSQNcxQj30rr4OMZGkMOfLSFEFIRw2qY0GxiEdCiFYw2BVsEYtWBLSCGlFQdcRFYWCLqDLjg+VH7D2uN/jOMDAj/G/n0fA1Dc3svrmTie4XNhdEmGfHd2WoCa9BvIKkWTZJEsvKsIoKTGVyDonoffvp7eolWe8n+Th/UH2uhIwEZgIi8p83DzFy6LG6/D6eplcaD/uemgvWEgmtBO5+80xAaUgCFh9NQhWH2r0IFo6dHL2jtNkw7W8T6eE7XthHX3fAsoRC+HwkPdparexrY0JgKRp7PdU8931HWiGwafPKOW3yyZjGe5JyuaejSHTOCL04zDRUE7F1TivuppUcNOAUs/rZPpqyfTVEtn3WyzecbhKl1EsDYRJhhUbZX9goVAIFbPqLekp4vO7ktwgayiCyJsTZvH3nUexSyJ3X1TDI/uDvNrcR0CVeX7jSuZ9/Dcj2sr+DAVDImxbSu6ET1FenIMcXI/yr1+TzO9Hju5Grt1NtPZnWHw1lMYtWADjZKGyYT/y32w/yu26+fcvl4zns2eUkjy4AQcQVASKbQbPXzmFmjw3aVXnlvVJVh1ZgN9+Dqs6XmJGzyv0XzOddHofSm6KniXm7k8AvGodXrUOI/0Yqf5qjjZN55B9Fp78qeQXFDBxrDD3sBzKU+Wh3N0d52p9An02C27BXCT88+7EOdlHumsd8c713N44h+cTFeSISe7Nu5vxR/KJJxfjKFqCxVM51NgwD6UmSYOE0G/ZTpBD+fD+IF9acxgB+NMFk7hhSuExx2TnbVZ1KjNsHp8ODdoP7L1p7zYPJZiSr5qmIQgC06dPp7y8fMRxomTHWXwOyfbVpLo24Km8fKzmcJYsIdX+Eh61zgQOwoAKjtuNUWRGd+zqJHj2XlK0sPeSy3ngQD//2N9FKGVu3Hx2C1fOnsq2aT5yMy0kMnNIp5dii0RwxOMEDINCqxUxFsMm1gFNRKcpBJpKzGeLopgb0AGAJig6ju7sIzY+GBI39b4HbMMGKgdYLP/Kk/wVkEUJWbTgQkeySBhP2MgEBFpWgBHtwn771xG8fgy/38wXzc1FLyjAKCjAMm4BqeBqYnMCuCqvPGac1q9fjyu5iVL5URDtlF6xhScauvnt1laOBsP4BzyifiXNL9wPUapHcCcm4ogE0KJRSCYR0mkkVUXUNARBAwFERQDM/FFhQN988LsGijDXwhI2mW8+88zg59mCpsRE6L8MMvW1VK+/ky9anWguN9UVBcysLiLPL2PEk0QSNcjpepQjG7BVLR5zXbMXLCR24E/IPVsG3xuetiGKIoIgYi+YT7rjVeTerbjKLxlzbp1uezdC3u8Ve18CymNyKLP8TO8w5G0YxuDCqooiBgayanDH5nYE4GdLJ/LlMyuOfehnq2vHKLYZEcIcRmwuWly4y5bjLluOoauke3eQbDc5LtVYE9GGv1Gg+7AgEtr6P7iqL8BROH+wf4qiDHrVvrm9l5DFTU2JnyvdH+UlzY/fbuGeS6by083N7AzGqPDaeXH700zva0UemPCDgHJU4Y1hGEj2AK7Kq3Btew6hpZHQ779CWt5Lumstan8DasIN2Ihs/xaG5XwcJedhy5s7JNM1bIyGVznfjsnT+dkzSjkak3mutpPbAb/F4KfjFKpy7MQzGje+sJ+1bf0Uuaw8c/UM5v3sKSz1diwlX0WbMhHj918jFd9GfLYTTR/pZXDpzbgyzZB5gUw8n9DR6RTnx/EmDFra2pikKOYPY5SW98nA3LauGNc8s49+LNzcuoszbQMSjFYrVt9k8EzkS0cW8Xyil4BN5++TNzEp2Ummt4lM7zai+36FxTMeR/Fi7MVLcMpDc8MYoOt5O3a8opxHD3TzhdWHMID/XTaRj04dI60CBjdiWQ/lcED5Ab3P+9veLUCZnUOapmGxWJgzZw55eWN7iJwlS01A2bH2BIByMQYCLvUgmppmMKw7zOKaHb1lApXb2tj+5JeYLhbzDasDf36AGeOLOWN8KTZvmD5lMv1qC3ZrI0dzb8SoqKCiooK8adPQBQEdsGUi8OzZyPkqycfvweIaxemYSEB3N5EdPyPduZFMeBbezDj8CBwMhjmUMugzJLyKTIUWZq7Rgi5bsEYlbLqGXR8Yb1VBSKdxRMEelJCLNNS2Lbg6x350ewDd6seQfo2o/S9YrRh2+2A+5UJVJeOwY1TaMRw6n/7vP3FQzCdqdaJbHYT9eZxfU8R3FlbCni1EuzeS9OkULv3jiO8uFArR29tLONTF+P47EDSd9sxtOGJp/JkMAV0nR1GwpVKI0SipxC40MY41ZMfa78aqm1yVGcOMoNkMncIjBlEVrPlJrgvuQ8zmr+4feY/miuODlT8BfoJhtZr65cMKeBweN1IoB83WhOXo/Qj+AnA4KGhuRnE4sHR0IBQWYs87i3THq8S7Nv/bASVwWj2U7wV7XwJKODaHEnhHgFLXdQ4cODC4EOpuL603xNDiMld7d3LTkuu4fErl2CdnAeUYHsrhIGVQa3t0XqRowVm4AGfhAnJn30EmUk+yfQ1IjwM68cYniLU9gWBxYwg1eKUZJCxTCJ3ZT1xLMMtaz8UzL+WBBo2dLokKMvzhsjO4bU0DTf1pZhZ4ePbaM6jafE/2Zkf0LQtMx6QAEkVETcDpm4+jbAWG8V0yfXuxvPZzoAtd7iPZ9CiJpkcRrF4cRefiKF6KXTLvUdN0bl1zmL/vD+K0iFhEAVEQOBROctXTddyQNI9bFtBptkI4rfLRlxvYHoxRnWPnmatnMN7vHPJ0CgKCZMcZK8L3upvE8jtJT/WR7lpLunMtavTgiO7bjF5ylXV0Xg3BtECy7kckw/3Ygbb2diarKgIn1/Le1N7Pdc/tJ65o3KIFuWfH0xgTBigbJImMpvOplxp4tjFEvtPKcytmMCN/MYb2LeSeraSD60l3rUONHyF++Ajxww8gih5KqsDTYsUQ9bfnnYQxeSifaOjhc68exAB+d/5Ebp5efJyT390cyg/svW2nuyjHMAxaWlqIRMwcP4vFwsKFC/EMVGWPZa6SJYQQSHZtwNCVMbWjLXY/KWkcLu0ImdAOCFw8eL3NHf3cv7eDpxq6ufeIh6mtVpZwlCUMcFUeAjYPtZXv0On/T7CpUa646ycYFjtCTo4JWAb+tXg82EtdyP4kqUe/i69whQlmhhf65OdjXXANkTfX01ea5tfiZbzUo9PsN38/kgCXjc/jY1Pzaam9EAGD/MUPY/NNhWgUsbsbobsbMRSCvj4sxqPIBAmfbcFeO9n0FqZSZj6logzkU2oIStZjqJh5+8PIrQch+0ETwDw2qshncIWXJNIlGq3XAW0Hcd90E8ZAVbbD68Wbk0NVIIDm99ObnIDCQRz+HnrzZ9E7bONrs9nM9CKlBu3I79FRqS/8Oc8k/DxzuJdYxgTOdk2hRJdZqf6SQkcvvV9dhNex9BhOTiEexwh3oQXrsCh2JM2DEIsh9vVBX9+Ie/EjARJsWwmYSkZnZz+8916zfzka/beA1vAC+szvINrffRnGQafUaSxufK/Y/xeAMhvyfrs5lIqisGfPnkGZwj4FVgZj/LlQg+IUd3Ef1P2dYM+HcJUtx1V63sh8jBPwSw73Op2KlrcgCNgD07AHpiG5X4d4kMDULxPpXYvWX4uXnXiVnaiGhDxeJ+00+DkPkIg8xkTvNObJVVwulXDLi256UwpLKvw8fvUsM98zGzbXtJHjNApQnoiHUhAk7HlzsPgmAV34Zv83UlE36a61KOFaUkdfJHX0RcLzBRzFFh5ueImXe6bht+fxxJXTEZ8xNX4vfGIvobTK5ID53dkEc9yvXtVAfV+KKbkunrl6OqUe+4jrD1oWFIsiNv80bP5p5Ez5AmqyA7lrPemutci924ekIA3QHQY+dQei24WBDb3ljxiqPBiSSafTqKo6IPs2ZOvaIlz//H6Sqs5nZpXwhzffQMRAG+hDWhC5+V8H+FdTH4UuK6tWzGRKnrmACJJjgCR9Mcas76D015tKQl3rUfrrUfxOaLFSoD6LHt9D4kgH9uLFZp7qKZowiofynwd7+MwrDegG/GrpBD454/hgEhj0UOqjPJQOh+Nte00/sP837HR6KLOb8tbWITnCvLy8E4JJAMmRhz13FnLfHtK9O3EWLjjmGEEQiFum49KOoPRsJFhyPg/XdfLAvk4O9pmAShIE3liwgg9N+h4Ww0/B1O+axTvDdL3VcJh4Zye23t1kClRi4wS8TSpCby9C70jCcN8s6D4flNYdWO89lqIGwCYI+Gx+VHsHTuEXfNjqQnE6cbltlBX5KfONw9jtoTOTS8YZIv3m3Tim/BeGx4NeWQmTJg3y6FqaPbDnJ8SrUiRv/ctxx6vn9evRehrIr/g+jpSfYGcvG9rC7A6l0WUZv5JintHMuUID6ZSL/B474qhwPZqG46iBlBBQc3S0aBvW9rF/66Ybxc8EnsfgecCM6OiShG6xoFosKA4rHdeLCFKGDU+9Skb0c7bVSb/VQUFhLjedM55LZlYR2rEKufsNYq6DOM/70ZjXMwyNrhfPw1B6Kbr4cSRbANLpEZXlxONkmtYgH16FwzkNp3seWn8/fa2tZJIyhqwixhP4UimskTiKX6Mj0kp50aTjjuvpsuzmLD3MwfV+2Zi/bwHlMTyU8LZyKJPJJDt37iQ+kBPSrtv5fqNOSLVR9XguqQkKsY+eSSq4kVTXelJd6wntELHnz8VVthx32TIs7jLT+3gSQKkfx0N5XBs4PuFcQr0xDtEdxaPX0xvdS43lICWvulD8Ohvm5THZ2c7l7h3g3kHGkPhJuoZI2bl8ZvmNuLLFQ6MKVAYpiE5UYHOS4huLowjv5MvxTr4FLd1r8jd2rUXu3Ei6WuFa/sG15aB6phKIno9h6Cg6hNIq10zK58b8QngD4rrAHUesBJUUc4s8PHXldPKcwzwV2euPBjijvHoWVymW8TcMSEHGBrS81yIffgndYbbRdXGS0MI0VnsEQfdjiFCd+BUxeQZbe2bgzp9JfkEB+fn5rO9M8tEX6klrOrfOKeUn545D3KgN9iktWrixNsHLPRlK3DZWXTODSYGxd6OmDroJfpnyeYwNL2Bv+5nZlAgu5QD9tXdB7V1YciabQLRoCdbAdAThBMBuWFHOs4d7+dTLJpj82eLxfGbW2PJrI/qV9VAOANLhpOZv22v6gb3nbXQOpTEgkPB2TFVVdu/ePbgpd7lcJJPJU27PWboUuW8PqY61YwJKgJh1Bi27W3nkUDGvbNyAOkA9M8Et8YmJAW6aWUpJQYD21feTjh7Ce1YZ9twZg+eHw2F27tyJoihUJKO4tYM0Xe1hyoqXzAKfYUTpQjyOrXcfqH8gNlkh33ctYjwB8TipvgjRUAQ9FsOXSeGVM0iywGyCIzt8AFi3FoC8yRk6LwX2b8H981sGDzEslkFaI6fbRfR8AcOWRvz197B4KkxvaFZ6cMAz6hZmE9MOsiNziB9HLmVdyAauUnDBOIfBsoDGFbMvpWv/Z4AkjsveRLQMq3pPpxF6ekzvaNM30QjRe1UR+V1nDFXXJ5Om51OWQU2j2JJIaQEpJZr5o7qOOBDWtgHEIN4sEZ+o8z+xF8g5OCrvccBRai2BlutBaD2M69ZbRyr0DAtrB7omkU7uQd/6HJbxF5ifjSJLN2aVEVnzFJKzi8RZn+SB2nYequuiVzHnhVUUuHRcLt/0PkRe+AUCyZ3Auw8oh6elZe10FDe+F+x9CShH51Aa2aKctxjyjkQi7Ny50+QyFEV6cqv5+vqjpHSBRUUObIYTx14D15/+iK4mSXWtN/McO9ch925H7t1OeM9d2PxT8S6Q8TQI5g5wGOgZEfJ+K9KLA8cLQMO+fRheL4K3lDsaS3mz91yKrGl2yvdRurOT23M/xeziA1zp2UpMd/Ih50GWOPeDsp/uF+/BnjcbV9n55LjTOGCYt1HIdtL85wTE5sdIL44BNCVHPu7qa0kVXsknNz6H19fBVZ5azvcewBKvJ3agnmLDjxWBv096mQvnXYX0igluX+kTCeYLnFvq5bErp48gBx9xndG8mCfwoIlW76AUpPtbW0hVGoS/egnyvqdQBsJSgm6COdQgBXo7BZmXUZJ+Ih3TeTz1IX7cUY1iwJdmFfKjc6rNMRv4/pKGwLULP8qrPRnKPXaev2YGE/ynvhO16h7sfeY87vB8hLTPTrWvi3RwPWr0IPHoQeIH/4Zoz8NRtNhU6ylYeKzqw8DC9UJHgk++2ohmwJ2LxvH52afo5RwFKLMh7/fLrvoDO76NiKC8TUCZSqXYsWPH4KZ84sSJqKpKc3PzKYfSXaXnEdn3O5KdrxM445sj+nEkkuLBfR387WApIZcpo+dUM3ykYz+fat7B4lDzCFZDz1KV8GyQ7/4qns4pGF4vKUkikUoxzm435QdLppPwHMQhdyA0NZmhbJ/PLPARBAzAwiJ46i8Y1gwdl4/jhdR8HqztZGtndPBaZ5f5+LJrFWf2P45iO5eyms8RPHyYSFsbAauVipwcU14x3gnGP0lUKSjTJiPGhpRuxEgEIhGT+michViNgtq4Bvf+scOzbqAIPxN5iYXSa/TbHODx4Mnzk9JVFLsdX1M5PeVWVLeC+uzPcRWeNwK0GYEARlkZVutylKbHiJdH8HxqbJJswzAIvnIxejpI4fLn0ZUc1u45wkv1Hezv7MenpPErKS7QdnI2O2ifbaHPPcckUs8Sqsuy+QomkRICil9Db6nFGh97/Taf6F7454PAg0N9cbnMe3C7UdxuONuBRiffu/sBnvfMAgTGOXT+c954rp9aRJ7TSqp9CeHtLyD3bME97vqTTcV3bNk5/34sbnxfAkoYmzborXgoOzs7qa2tRdd1bDYbO2xl/GDdUXQDLsvV+OG8XIRHbebOVVEQbW7cFZfgrrgEQ8uQ6t48UETzGplIPaH5EJoPlpcuw1VuFtvYcmeOXLCz1DCnIL2o6zqyquLEDFHjzeXbhw329iYosBpcWuKlKWWlFLhlWj6fXrKcreuTfLZ1CV8NPMfHctYPtiWHdiGHdhE+B2xTRJxHH8Dl//BQEc7AccJYi//JiM1HWVsszVVP13HYWsSsToOLL15E/pkzeGn36+yp+xc/MnaDYHBW5nnCm54nuL+SmZjgbIFX4ZFLJh8LJuFYD+logHkiMwxE1cDV6USf+U2cfziE1tfAry9byB3GNgzRwCEOgXyrEaEj3sI9PRegGPCfge2skDNs2TibvKJqpqRSZCQrV068iLU5ZVQ6JVZdO5Nq31uU1xpR5W1Hds7BP2eB6cUN15EOriPdZYLLZOvTJFufBtGOvWA+juIlOIoWITmLEDIZVhVP5uZXG1F1gx+dU82tc8pOuRvHy6H8wOV2M0YAACAASURBVEP5/rfh6R2apr3lFIfRm/IZM2ZQWlrKoUOHgFPPzbTmTEJylaLGW1FiTeiuKp491MP9tZ2sbc1KBwrM0Lu5ObaBG0Wd4sIycJZjxP0Y2VBoLIanIUp4NiR8QQr+ZVbZehhkHAMGdK8/JaB6Nbj1RuxZhReLZTBXUvd66ayqYO7hLvb+ayVRYwtLbQ4W2+3MynVxbpmP8pwCWuJFYIBh2Y9WU0PMZqPD6yWTn0/RrFmD1xReeAlDSNJ72zl4Jt480BHDVKrKekcP/B7k1+hbZMe+/MsmFVA4SnN7D93dfYiJBIFM8v+w997xcdx1/v9zZrb31e6qW7Jly91yT5xux05CeiWkEdLgcpBc4OCO/iUHR+eAQCDcgUlCGpBeSCBxbKe4xXGVu2RZXVqttNq+OzuzM78/drWqduzA/R6H8evx0EPW7nrmM2U/8/q8y+vFHL0bgwz2rDLsbx7qHu4ub2xEPkMifLqC/v6rWDevG3fOdUHAUmKm5RbQY31Y/vU+cLiHm1+GyKfDgZWpJAnyhzf/yFd7ziQs5wA3jvISrqn3c8vsMkpDVdC6DaEyDtd/lWA4TCgUGpX6RdeZGv82RsK03z2P0oo7kNLp4VrKQomCHukje+RNJMWM2Tgl//rQ+4WaUQlwl+a1R1c6DhKYtYK52V7qrDorFlYV5y6TfykgIIfeQ9dzCII07lz8rTBSXH3kcZ+KUP4fx4Q6lMcRodR1nZaWluKEZ7XbeSZVwq+3dyEK8K/TbZxriiCiD3fNZrOjOmgFyYSt4jxsFeeh699A7t9B5qF7SVTFUWkjdnA1sYOrkSylWCpWYFO9pKSpx53yVlWVXbt2MVvTsAKao4R/2avQHpOZ4TIyw5jh4XaFTxTSoJ9dOAm9fDorA1kOP/QdHJfNJX7aJ0l1vYkSbxk+ZymBrE8jG3yGaPAZ/JIXkzgbPXn20MkpnqPhg/0AvckRrx8Mp7jqhT10JbKcJQ/wyjurMV35fR7c3ccX37UC1/Ifwh4kAZwzP83apiYORZ3MYx2zjJ3c4P0i2V2nk6w6H0v5eUjmkvH7GUtwj5NQAsVoZlbJYRuQ+E3PWXyZrWiShR7zRyk1tSAlG0HLMsfcyZrq++nPOfFLcciAnnmKdLSO0KCRW8+8lXdcVdQlwjy/avaJk0kY55QzNAEKgoipZB6mknm4Zt0zoi70LeT+rcjBd5CD7xAFjO5ZvOuq4tqlN6JoOt84o5b7FlcfZYdHwRhC+bcS4z2F//so6rSSn0uNx+kHD3kv4d27dxcX5QsXLsTr9QInrm8pCAK2wDk0vrOJ/3p2C8/E2xnM5r/jHrOBG2eXM1fuol7roya9DsW3EPX8hybclqjIiH86D7ksxsGv/gsDrXn7QY8kUeP1IqVSZPr7kQZfQnUmiC2xUNJUUUx3786Z+VL1ct4srePO6CaWN73O2fRxNn0T7m9afpSAhv7TC1iIwHxRRDcaEa3WfAe2zUaFzUnam0Pa8SSmykw+hevzoZWWopWWotfUYPb+M/H1a5GtEV6es4wnDkZ4NRpGqdKhCmqcZm6eXYY19wBi6E08C/4Tm295Mdq5+913kVIp6gIBxMx24DVic3K4nRcMN76MaIQxDmSwBCUy5TmU3u3jusvDRitPTmpg37xS7psCWnInYfl0zu0/wm2du7k23o5jUz7qmxRF+s4Uydk1Sp7+MRXuuWgOBxmDgYimMZDNElFV0oapGIUw6dwe1kWjeL1e/LW1+P3+UZ7XwTU7yCU7CJy/miCVPLk/yO/39jAwEMWjZPApae6sOMQKnuWKBSrXNFSwfXtP8X4agmT2YnTPzNesR/Zh8s47rnvyw2DkAmpkhPKv8fL+v4R/DEJ5nDqUmqaxZ88euru7AbC6S/ivLiOvtwZxGCUeu2wOVcluursj+ZoikymfSpmge3sIgiBhCSzBtauS0r/0EP/DA6Qim0l1rUGJNZE88gdqgBxW0uH5OAFdPjrxlWWZ7du3E41Gi3I+9++O0W4ysKLGgwuVF9sVjALMKHXCAMPOLwYDZdkUuaQXw7zP4Z33ObKxFtLda0l1vYn/mWYkRaTr8gQ5B0i5Qby5DYjtGwEPohrDqeyC3AitwqMRyjFSQ+/3xrnupb2EMyoXTfbyx02v4lQyfO1Ihu+05R1aHlxZj/RKfntvG67lrrYDfFZ/C4Dljg4SgooSeodo6B2iCJhK5mMpX46lYsU4UiiMHcexMMK7e3cogXcwxWzg/JqCz64oETWdgXfyjbydFHl2859YYWvkMtc+/MRGbEhHU7q4ftpn2GqezLRUmHXvrGb/rNsYzMTw+/34/f7jJmLCGEJ5tOjQ6LrQBHJoU55cBt9lfY/Op5feQFYy8JWl5Xx+6aQJt3HMcYxIeYuiWIxQWiyWUxHKkxwj77njJX9jF+V2u53FixePuu/HWi8eD7ZEF3GNfk5+TkPj/L7D3NG+nauj7VjfshIHMhYjkUsNyP074MEfIDlKizWIQ1aMgsOBxXs6qb436FH3E61bRkVFBdXz5oEokgPi4TBd74TwZ99gcJGM9LXH+N6WNh5t7CaYGv5evmyfz+cvewmbmsOfOg8pqeeJ2VAHdiaDLstohiyCpiPKeVNBqeD5PbIMywk4sQEy8NT48wooooTV7kW0qkSFz3OzVMIVRjMBk8h0h8QUtxViHlJWA1FNIqe+jLhgVl5AvLycga4ucrkcpfPn43VfDn96DcWpEL/3JozOyeNPuqKgvX0HJBoJ3VhFoPzzaPEE60IZfheReEm2kEXEJaa4R3+Rc80HOLDnSepDPXliOuKecQHpUiOR+TLqobW4duQ1Ka2Al7xIOoBq0zj8KTCnoqz6zY9RLVayViuK2UzC6cRYUoLZ78fkD5A2dPCLPz3FN/rOLWbS6st83DKrjBtmBig1pgj++TmU+C6EgmXnRPOoOXA6SnQ/cmjL/2+E8mTM9JyUhHLIcxsKNZRD0cNjEMpswZN7cDCfPjH6K/nCnjSN/YNUOc08f3UDDaVO9u4NFrd7LDmgsdCNRkQEzJYpmOcuxTv3XpR4K8nONfTsexar1kY2+j7gJN32ZyIbB7FVrcJacV7RHSKZTLJt27ZiMXvGlK+7SKazfKyhlEFZ5cUjCeyizrdmmijtLNRljLQSHPk3YHLVYXLV4Z55F4YXPo20fRd240Jiwu5iB7ReuNdFTaYq8yj6gScZCJ+BpWIFRrOKlD8hYy9C4cB11ndEuPGVfSQVjetnBHhoVT2WTTr3NVzCz9uymESBhy+eweVT83Z/j1XN445X95PT4bxJbtgHMdPpHHYsZtFUjVz/BjLBd8mGd5IN7yS276cMLrPidGlIqUMY9LoTi1AWPrvFVcFlzzWyofD3D86dCquHdTifbkvx7cYIMJ/Lll3D5LmlZMO7kQuNRuFYkLuCn2G3eTJ1Ui9PWX+DqzYGQppIJEIkEqG5uRm73V4kly6X6+iTyUjrRYPhuNKNotGBtfICrJUXsL49zGde2ocswVdb3uaL//KVDz4XE2FIM7BAKFOFlNKpCOXJj7ERyg+Cpmns3buXrq4uIN/FvWDBgnGRzQ8jR7Sqfh4Nm9/lI+ED3BUNMW2wL98gk05DLIKLPGlRWwTi0yGz84+4909cZ+ieniV1CUzb/wJl67cgeb2jZH9cJhP+GFj8RgyxDPe8/QC9BheVJis2owVPiZtPLJvGpxbX0vXaz4mnetCmuAgsGd+ZfPDgQfqaXmVS+teYvItJmT/FwP79BHI5pjidCOEwQjSKEI0Qy65HVMHRV4GU1hFkGVXNkUDCnFOwaSqmOBA3cDo9nE7PhMdnAjy4gEPAXUCekF4qCGiiiGA0gsWCweMi61YwvXEfJtcccLnQPJ58DWXBTtLqOZdsvJGw3sWDailPtep0JfLX0yQKXDPVx82zyrC0z0UZbMT3nTtI+pfkF/myXIx4dh44gNz9NGa2E1kqYl9w+3jv70QiLxzfnyDrzyFaI7j6hkXSdWCrt4qHaxbRPWMuP6jcTkDfh8O4gmun+7l5dtkYO0ZzMfqYi+U78SeaR02B06H5EeTQFpzT7/rAe/HDYuR36BSh/DvCyIlQ+wAdypFEDUAtm8Ldm0P0JrMsLHPy7NUNRXmaUSvrAlEVstkPliOaQNzc6JyMe+adbG6rxqBFWFJ7CPgLaDqprjWkutaAYMBSehqC90z293rI5GxIksROczWuRI4K4GMzy3ghkmZbb5xyq4GvVKWZ7TKP07XUx3Rxj4VgzEdyfQ3/jmfWFPZufBQ9vBG3VJDEGDpIXUEOvo0cfJvoOWCdasDU/xLmio9isI+OgG3pjnLdtrwv9z/Nr+D759aR03Rud8/nyYpq7CI8deUclk/yAPDzyUu5b+7FUGgcOX9fW3FbmmDFUnk2psmXo2sKcv/7ZHrWkel9C4Ug4aXAka8gdv+Y6qg779SjH0eDk6bxrq+GSxZ+lLicw2sc7gKEfC3Ry/0iq3sjeUeZVfXcPLvgvuFbiNm3EHXqZ/jks9vZnVWYLgb5bdkDOI1xeiZDDT9Czc0kKswiwkySyfw919bWhslkwufz4ff7KSkpGXXfjk15iycw6bzbGeVjrxwgo8FXDr7Ff4R2kfrg/zYxRsgGjXR3OBWhPPkxtobyWBi7KK+urmb27NkTPsA/TITSNHkyr6z8Kamu1yk57XtkawtOMKoKiQTb168nGw5TW9IByh+If6QO+/Ir8qSzUD+pRaOkgkGEWBy0JKlJWaRkFDE2nGlISCaeqZrD6tpF/LZxD7XNGZ7gufED+n1+SvTPzRJcBfpbL2H65q6i5eAQOa0CTLkslnIz2sBupJoBEn4/QmUl1YsWjdrk4JoryCXbiVbU87Lts/x8RzdNg+ni++acyk32g3zd+N8Y0iYCzs8gDg4iRCLDdZbJJEI6jWzqg5yGedCEoOig6wi6Pio6ao9I2JGAGKPEOEdgqMlHM0GJ4T5uMlpRJQNeA1QaBcyNVvQ37KTcGkmzCaHrfzBWdaH5fOhD6fraWhKKQq/xMqYmt6PYkmQuvgrRNIHlLKCtvwmi++j99Cz8M75JX3+Exw7282RQ4ZCaf5Y61RSaLnC25SC/nZGmqlTGL6RQVeuoBYw5sAwluh9tcBvQMOGcZfYtBNFENrwTTU2Pb2z8G+FoEcqTBSctoRw5EWpD1ocTRCjD4TA7duxAURQkSaLXO4X73uokpWpcPs3PI5fMwW4afsiPmgiHiOpxRChH2i+OJJ9D0VQVD1L5ecBfsPnPxH/a+aQ63yAd3EAmuBGCG5kMZAyT2WY4m1/vDbNMlGi2l/Bw1EBLKs4cv51fnVnKQMvBfJ3jEDkZehB8QI1m0RFH0xCNTrKOMwilp2GuKQE+B5hQBScGPT48flUgXaWSDv4Ogr/D4JyGpeJ8TGr+Mw+830G2YhZfXVbDvy+dRCancdtrB3nNVk1JNsXzp/lYOMmDruv8YGsH3557MaKu8eAFM7hldtk4l4TifkUjltIzsJSegd7wZaSv3E6aA8SWl6NkWsmlMoCRgS33omfPxFKxHEvZOYgTeAGv74hww5mfIGUwcee8cko3jy7KTuoiq3sNSAL894XTuX7GaHvC/pTClS/soXFAYa7fxuvvbSLwqkhiToBkWYTkTAOG1D587MMHaOZJJI1zGdCmk5En0dPTQ09PD6IoUlJSgt/vx+fzYRoZoRTF0Xaex0BeZH0vaVXjs7N9/Ofza9Crjr8JZyyGao9zRiOSJJ2qofwHwtD8pGnaMcnf2EX5jBkzmDx58lEXHB+GUALYKpeT6nqdVPd6HEOE0mAAjwe5rIyoxUL51MWw84+kpCOoN12PIOYX/rFYjG3btiHLMqIoMpOH0aK7iP7um1it89jaPsAjTYP8sVcmURjWWq0On2M7asxBIOIatlhU1aJmo+OwgeBKyJQpMNiPODD6mH0MCYoPfV9+yEyGLQeRpLwHttlMwJ5D81tpFffRrjzKeUYLDSYLmsXKsioPn5hfhaXyQnq3/4osGZLLT8fknj7huYrtfYBE88M4Z9yNc+bdoGls+tOfsAwOMrOkBFc2S67nALHYC0gpkZLY6QjJJKRStCsC/ZqIWVXwKmnK1DimrE5tNkotE/ub5yPEdvJK8T8d9Z4OLBIEdEFA8bpQHRrG39+IZA6g2+356PCI6KjbUEssfYDOZCv3Rvp4rT1GTgcwUusy89FpJVzoF1GP1GHKHsalttDXB319fQiCgNvtLmaBzIHTSTQ/jBbJE8qJFjiCZMFUspBs/xay4R1YSs8c95m/BU5FKP9OMar2Z2i1MiZC2dXVxZ49e9B1HZPJxHvGav5jfTs6cN/iSXznvGlI4ugLPWoiPIZg+TgMpd0n+GxR77FAgoUcOGqvwFF7BW1HDtG55wWc6h4cuX1Y1FbOUlt5vQqyV7pYnVmCSW7j3Elz+OOVDSQH+hgYGt9YQjlBynvMwY16v+iUI+XHrgtWmu1fpMaXJmBsJtOzlvLHwgiCQPdFSTQbqPFmEvFmnH02zJi5zr6Bq0+v5uolFcSyOW54eR8bumNU5dK8/vZvmLzqKyi6zlfeOcIvd3Zjyqk8ueM5LrzvZ/mxHK3ZZ8z5s0Rt2PdbsX7qJ2RLTRjf+CLQha6rZHrWkOlZA4KEybcwX3dZvgKDvYq/tIa55fXDyAYTn+vawf333oPw3wW7xcLDLqYJSOj8aElgHJnsS2W54vk97BtIsSBg5/mr5lL6bgopLeJqduB5XyX2T88hp/bkNTh73gK5A6fcgZPX0A0eMpYGBnL1JKV6+vv7i1p9DW1txbqi47Ve3Nwd49qX9pJS87qY35xmRQC0CfxujxtDKe8xEcqTaWV9CkeHJElomnbUCOXYRXlDQwNlZUex8SzgwxJKa8W5gEC69110LVskizBivjK4sPgWIA/sIBPahrXsDPr7+9mxY0exsWjRokWIfZ20v9HKUxua+WPGxv7B/PNBFGDlJDeL6WfSjIWEMhuADM5r30QUxzwyMxkIBhE3X41mzhC+cwnu6FSIRBBiMYR4nGw4jJZMIhpT6IYMhoSEITlCik1VQVURMhncUaDbgpcEC/nL+BNQKK1MXpyXD5K+fhuOg85hi0WrNS+dY7cjuVREqwmh7RWMB8rR/H4s8TiJkhLSy5Zh9edLjGIvvwBahkNTV/EfzXW81RlB0YbnXZ/FwP3lr3OB+hxGoYKymv9EDIUQwmHEoXR9LAaJOAlxN2JWx95XgpjJHxe5XDE6Kug65gEJ84AEpIC28cdIXhbIj5s6FM7mPmIGM1mbDZPbhc3rRm/K18XKWR+ZdBee0m3EXQKDqopsMpG1WOhsa+OI1YrZZWOSYILEfgS7jCBM3ABjDpxOtn8Lcmjz/xqhPJltF+EkJpSjUt5DxK+wItB1naamJlpa8h3ONoeTp+IeHt7eiSQI/HTldD65YOKIzsjuxOOpzSziGC44oiiSy+XQhgiDqo4eo7GBjPccvtQpIve/z2XOPVzsbMRqD3ObfS23sRbJVoV2YBW6eQHo2qgIZdH55gNS3kcTNh9lvSiIaLYZuKdfjmv2ZzG//BmMu/dj06aSoBldhy2ZelbpYVxorLDuJdH7ZXpe+y5vZeZiHZzDLPcCXmrewrR4iJiu85k1TTyxvw+bQeT5zb/ngv4WEmPH9kEruBFd3gZ7FZKlHOjCd8bPSZaEyPSsR+7bQLb/fbL97xPb8yNS5jo29M1gmjSPq/ce5v7wXlLCvaBp6MB/NYa4H8gJAl+sUbmwerS0Q28yy2XPNXJoMM3iMgfPXzUXj9lQjAAPFaQLZjsW5zlYys5Bb/gKSmRfQeD9LdTYIayJt6nmbRDNKNa5hPXpxISZZEdYpmmSRCKRYHBwELfbPSG5fK8nxrUv7iWpaNw9v4Jvnz0FoaMj/+YJdOeOxdimnJHC5qdw8kOSJBRFmZBQjlyUm81mFi1ahNs9PgswFifa5V0ci7kE8xiyOHabmqblhdAHdpDqWU9YrSmO0Wq1smDhIjb1y/y2cRavpr6JmpGADHXJMLf37OETsSNU7NIZzOVQzGbS50qo9hzZ1V/G5j19VIPPkM2iKTCfzMAWYtW9OG772agxH25uprm5Gb8zh7/739ANXg5avkbM6GSvbOPPeztRE0k82QzlapovWZ5lkhbGHq7Fmnbna0TT6fz3sBAdtbcZic9QSE1S8DRm89JCyeSo/RoAG3YgCTwAwLmF94aio7okEfC4MdvTxITfcY0whRVGK3GjmYDNzMUVFqY4S8hIFQR1UPRe1DmzEC2LJ7w+0a1fINO9Bs+ir2CbdOnwG5pG07ZtxA4epDp3AFPyNQwpI37howixGIPRBFsSMKhoOBUZj5KhQe/AlZXRZDOurAwxGWKD0DG8WSPgwAocoIyJ3Yo0USRndqCbVSosvyZr8yK8/DJGn2/4Wjoc2KwScSB8eC3u+ntGKbf8rTB0v5+spUP/EIQyN1TrKMvkcjkaGxvp7e0FwFYS4HutAmvbg7hMEk9cMZcLJvsm3ObI7Y6soTyulPcxIpTFibDwW1cUGhsbi93mgjvAlw6q7OlPMtm9EGXGpSzdcJi5xiN8WX6VxdPCqKkuYk15kddpgoOUMh81a8w3zIzo8gZGdd6NGQiFgxv1cvGvwutDskGCICCY8iTLs/CbmGu93Pv6bn7fZ+ex9NPcwu786dENmNQY5xk2cl7pxrxW4lQPfYMqn9yb4KVwEo9Z4ukr5rDyhRb+KozpLhdMLmyTTsc26TL0nIwc2kKmdz2RznXY5Bbudrdwt/s1DHaBUNCL1LcJm5bj3+Z+hCf39nE/4DWJnOYaLercFZe57PlGDkcynFbu5Nkr5+TtK2H4fI8tNaAg+eOdi8k7F9esz6Cmusj05MlldmAbxuQ2ythGGQLS7BLkbWBO5wllJp1mx44dGAyGYt2lz+fDYDCwLRjnmhf3Eldy3DUvX6sqCELRdlH/aybHEbJBp1Le/1gY2eA4kvyNXZQ7nU4WL1583PInf41HeJEsdq87KqG0VSwn0vgTYm1vcLBnAQgCcZODd/RS7nhyN12JglIBGtf17eauYDPLu5qQ0sP1ikOeK6GAgfCSHMr+NzFu2TjhmMoCKm03g96yD+NNNw0TToeDCl3HkMlgKClByNXygljNo6YMuzUzkAXRweL6cq6fU8419X6U7TuI9PWQcAmUrvj1hPtTY82w7jri9QrxH34XQziGMDCQjxpGowjRKCQSZPQmtFwSa9iJISGgZ7MIhQWzqOsIqkpJP9BvZCn9LKV/wv1ZgMGPi2R9GuZbL8IcKlj1GgyjoqMGV4ak24Jh+68xuw6gezz55h6fD2MiQdrlYrDuelyH/wRk+K3vLH51SKQrMfwMFQVYXObkOyWPMim5FoNrBqXnPpnvnB+SNBqqF41FSWz7IWJKxVF+NWIqO+z9PWSpGY9jTKuQljAxCAxCy/jnjFnQCf2TgNnSSaj1AIHpDeM+89di6H4fuTA/mebRfwxCWSBSWirFe++9RzSarwExllbz2V1J9g0kqXFZeP7qBuYEju0rO2FTjqJ8YFOOfoyO8GLKu7DtVDRaJJNqSSX3bY/TlZBZVOrgvJoSvvFuCwICH49pXP9akOwPfoA8t5RU1xtEW/+MIdmMS95AZiCfdo7uX41YG8emF9K1R5vEx3h5TxihPAqySo7b1w3ySocdj1liRY0b2mHAtpSLui5BA25zruVW13oMmkzIPci9DZ9kY1jAb0jx+9MGWeSqOfr5O+o7jDqm4ucmsGIUJDOW8nN5emA697Ysp8HUyjdntDNbeQ+VdqKuMNrGT/ONyTfzUM0ypskRAMzGQqS3cB464hkufXYPrbEMZ1a6ePqK2aPF1scSymOkqg22KhxTb8Ix9SY0JUYmuCHfNR58l5xtAMHkgrREefpBMtYGosIs0vpkgsEgwWAQQRAISk6+sDdLTNG4Y245P1peN0x+h+63v4JQCmO6vE+lvP+xMJb8jV2UBwIB5s+fP87j/lgYpcJxgg48Q2Qx3bMefcGXR+izCsVtSo5paMYAcmaAd5MJ3kyVsiOSBToBWFTm5LZ5FaxSnkRsfQTPvM+hznwItdDgkwmF2PnOOxjTaaaX9gDPEZ2v4am/ZZT3NwXfaFM8hpRIoHg11MEWTG3Dzx8vsL+kht/W+vlD9b+QNJhBA7+c5Nb2ndzetp05iRDY7XnXnlKFzhVATzPmH/6wGEEbaUFocToRNTOaKJNwH8Gx5MYJz1Wy9Vmiu76FddIKmH0/331lA2+EBQ6nBaw5Ba+SYaU1zTek72OSdfzaFRjiaj5dPyQSXoiOWntSZH0yickKlpAhP+dmR0dHrV1gxQpEgVdGjWVe4UcHZEte+uh68fsskfxEjBaydge1lT6WTKtEsjpJybWEgNzgYYTe3nydZVkZeuVoh69U6VoyvevJLV2MtXLlhOdB6WskvOZWctkAIcOtGFIpIrEMbYMyfVEZi5zBq2SY378DV/UAafkg8L9LKIfqjU9FKP8OMGS/mMvlioQyOTBANBpFEASypVP41KYgfSmFpeUunr56HuX2iSUmRmIiQnkiTTkTNcQMbTNbIEFaISIU89XyL5tDRGSVCyaXUGY38ZP32zFJAr+9eDY3/PHd/LFqGiZ3PSZ3PVn/dTS+/wZufR+V1m1AHLlvO4nNWxAEI7YrwK50YJYHkcze0QM5Sso7MZRKGROhLAwegK+/c5hXND/ldhPPXzmH0tV5J56fdC2kt9TDqgqdO6a4EUMuFDnKp1vuYYuxjkppgIdLf051ez997RD9mAF7iwkpegCDa8Zx1VAWBkVh0KPGOhb/s6ubL7zVgoDI7WdfyPK55QihEKZPXcvgYgf3TbmGP9TMxKlk+JErHx0QtTCe7AbI+miN+rj8+UbaYjLnVrv5w+WzsRtHN/EIIwilbjAcn3QRIBpd2KovxlZ9MYfDIPjOcwAAIABJREFUMb7+9JM8rj6HCQWb1I8lsxYPa8HgImNpIKzVs1uewdfaDCRyAqu8OW6wD9B6RMTv9+N0Ooe1LP+aCGVhJa0ZDBhGEMqTaWV9CkfHSE3fkTq4ALW1tcycOfOEH4h/jaWj0TUNg70aNdmJEmvG5K4ftU1FUXjq7fd589B1vJqrI2q0AjlKcjI3y73cJg3SMCDCdhcpp0YPkD7wEt7MUnC58g4wPh+RigoQBGadfTO89hyqLUvqyhWYPTMnHJfw2iWQaKXv84sonfJ5evqjPNkaY3W3zOFcfv4XdZ0LE/u5pX83F0XT+NARLDqolmJkzdajY1hScOnZ8DKm6MTOLd5lAgPLwPDIAzi2PTqKcA5JIEkWgXej83iyqZJXN2xC1vPbKjcL3FxXxk1zy6mvKKH3z78glQ0zMNWBe+7nJtyfdug3sP9BwsuNmP/zLxAKIQaDiP39+ejo4CBiJEIstQayKZwDUzAkNJBltGyWuAa6Bg41iyWTg4zEdCJMJzK8k0PA+vw/zeiEPymQs6uY776paMOoW62jXHrKxCiybEPc/iimus68t/mQ73fht9EeQHU5EXJ9vCKU8mcpwK5MEsqAMphp01jp0aixeXApz5DuXsch83z8fj8ej+eEHaKOhqEovyRJpyKUf28YIpSRTIYy8pEWg8FAp2cyn32rk4yqcc30AL+5eDY248Rf2rEYlf75EIRyIomhoW22dHZSB4iaRodnCp9/t5tsTuem2WUMpBUe39uL22zgj1fO47wa74Rd24IgoIg+BqXl2Ca5YfuLOCdfR668k3RwE8k6lSQH4KVzsASWYKtaia1qJQZb5VFT3pFoND/mwuvRaJRoNIrL5SKr5W+iXX0Jpkyt5oWr5jLFbaE3lWUSkFByXDc9wH9fUI9ROgdd+yrZ8C5u2/oKcauDh90P4jaGh0aP7FeR/SqsvwHJVkkgOIk8zR/jL340jEl5j4wO/mx7J197txVRyEv/3DSrrHi8YtTIF5SP8oeBetxKhr9seJSq28uBGAIZyuVnadv2FreFPk+P4mR5pYmnLps1jkyOuh4jbT9PAIcjaS59/gDd8lx0+QUAjjg/S4W7F7uyGyWyD0viXeLZFu4PziChCVzs7uWfy0VSSQ+tySStra2YTCbq+vqYwXDD14fByBpK84iU96kI5T8GhghlKpVi06ZNZDIZBEFg1qxZ1NQcPatwLIwVTD+RB7YgCFgrlhNvfpxUz/oioYyr8MqAyJuH+ziSBsQ5CILGBcFm7mzbxpU9B7Booxf0TlGn926QtcOIn/9nDJn8OMzA5aJI1mrF+LCX5Ok2kpNSZH/1BeyG5cNkZUQ9pcOwkHiijSOpQ3w6EuPVtig5XQeMVJp0VnpzrHArnC7/BpEs2z3fZebcpXi93vzxq2pRl1Hc9k9AF6Gb6/CZrylGQ4vp3mQSi9oCHCY5RcG/WUEcGICBAQBabF4eqV3IIzUL6fCdA4Axp3JdzwHuaNvOBX2HMeiFAIEo4lusEDoLxDeewfpw5zAhG0FSXbayPCnMxtHa9iH5a9HmzRvuUSgg3Wgk2fIE6VkXstt2NY/v6+PF5n5SasHZyACfnJTin2JfRJRFAktWIybTo1LZQ7/NsZdJ2RPEF1rwHPIO2yum09CXdyYyABbMsL8D3n5k3P2iCiJ/LptGamUp8wMx9of2sCt5GpV2EzfOKuWmmaUExCz9/f1EeufDwDNY5P0c7uigs7NzVIlRSUnJCblFjcVEEcqTaR49qQllkah1dzMDMORybDJN4tvr2wH4wmm1fPOcuhPS9xuZ/jlWGnscjlFDOXSTKQUSpGgC976bFwb+3NIa3ukY5P3eOFUOMy9dO384LW8YU7PHiDT1iKYcq28p5nO+jt60h+x3bie+yEqyKkkm9B6Z0HuEd34Xk3cO5fF8soJcjlwuV9STg0LaW9NA14sSIRFMVPXEWAVMc5t5+LoGyuwmXm0ZINUe5XZg1SQ3N1w0vXiOBdGA2b+YO4XnuX3dL5G/cR+J0h7SvetQowepftpBsk5hcHGWXKobJRwGrPiyb5BIdyAHNaTys8brhI2NSI6IWOq6zvff6+A7W9oxiAKrL5rB1fX+4keVnMadS67jj756vBYDb2x8ksWDnSTmPwp8AsUYYJd2GvcGz6cv5+Rcy14eMPyaxFtlqOXLsVQsx1SyEEEcfT0EXR/W/jxOtETSXPZcI93JLJeoA7jVPJlLmyahlp5NYNqXyKWD7GzaxO3vOohoFq6wv8d33Y8hpXQ061Ti0hzCWj2yXEkkmBfiD0WjtDU2DksSnUjEckyX96mmnH8cjKyh7OzsRNd1DAYD8+fPJxAIfMD/PjpGNU1+iDpKW2WeUCa71rPVcg2PNvbw4qFBFD3/HQwYdW6o93B1/ItUl/dSfc8ziLJIdoQmpVBIV9vUF0iaWkmsqsV1xAWJBMRi6LEYlrxoLC47JCeBrHUgPf/8uPG8VD6DH84+gzd2OJk2mOYs7iFmMKNIBsxoWASdnMFAzmwmW+Yg507iyjyC/PIaep1ODOXlWGtqcEybhlBRgbH+QrJND5NytOG6+IoJz4GmZeHl05EDOcLP/hJVrOKl/T081jTIO+HhZ9JcBrkh+hY3k0XKCBhdoJbMQEini1FRx6E8oUz7U0gvbUNg4mei/SoDyckq0vc+g6OloP5hsYxKyfdYTfzOfDlPHg7QatiTv97orDCmWSVFuLTOz9R58+naYgCHQtLbg63h4okv9E4F2p5h4GwB4zd/n38tlxtVT0k8TmzDlxHiEVw1dyLJEkIiwb5kjscEP09YKgkarFwjbGI+zVxv2cVtq25nxSTPCBUXGx6PB33qVHpf/yXGTA8lDplw0oKqqqNKjDweT1GS6ETnwKF7XTpJF+YnNaFUC5GinNFIxiDymRkX8sh7XRhEgQcvmMFt8yo/YAvj8aFT3kfp8u7p6SmuVDCa6L4oSSauM80Y5NZlZ/BoYw+HI2nm+O28eO18qp2W8dscEaEcGp8+kswMdZaZnLgOmXCI9cif/iWZ4Ka8gHr3WrKDe5GjNqyYGdj+bbqzfwK1HsQaDuUsIGiIaNQkvodsbqBJncMX2qfymwKXvdWbor+1iRcSZr70Xi8PFfjcx2eVkpuIsAsCZi1Hzl6Nc+aVOGfejZrswvbgrdh6jQwuHn1ORbJ41K3Etm0lLlkwB87AUnE+lvJzEE2ecSlvYURN5X9sbOPH2zoxiQK/u2Qml9QNN13JqsZtG3r4U/U8Amqal645k0XP96ALQnEbe+1V3N1zFYM5gYuqRH5Rn0TvqyCX7CDZ8gTJlicQjG4s5edgKV+BlSxD8ZYTIZRHohkuey7vdX7RZC9/2LEWgQKZH/Fgb047uX5LBWFV4bp6Lz9rmI8SHEQOvgPpw7g5jBvQTQH0kkqSNQqKQSAUChEKhQBG6bTZ7fajD4rxXd6nnHL+sSCPUMewWCwsXrwYp9P5V21zZETywxBKS2AJjzdezqPm0+jYsQsAo67xEbWfK4UBrplWjafUTVCqIRXrJpXejWP6dSCK4zJEltYAya1fJbGiGuuXfwTk0+ZvrlmDqKqc1dCAKd4B+z5FYqqC/NV/R0xm6Yom+VrUyYuai4SQ/56HrVY8ioKUEvCoMqhjFEASiYJ1pBUIFn7GwwHk7G5yphzGBy8Gk6Xo+V1M6bpcuHUPWUecpx9bzc8z59IpWogZzHgsRq6fEeDjs8uYKexlYOMa9JKF7FBvRdf1Ub7qhQOGV5ehunKEv30XVsP04UjhEHFLJDDm1gFdxOYI2DKVRVIuZ1Wes1TysHsRawNT0IX89Z0d6+P2tu3c0rGLcnm0dof3XJHBRSD96tvYWx8flcYe+rfX5iDlAj0RRNiyCcHlGU7pl5YW6ylV8SxS7c8zONPHa/JZPLE/yPbg8P6WlDlZXLIYUk+w0N1GdY1nwmyXIAhYy5aRanue+tIkxqpVDAwM0N/fTzgcLgZaBgcHaWpqwuFwFOdRp9P5gRm0kV3ep1LefyfI5XK8//77RUKpOT1suhMuEF7HnB3g2nM/xrn1J04mYWJhc+E4rReBIqHUdZ3W1lYOHjwIQFaDFyIydbOyQJZX+BatLRUM0EB/9dn86Mqz8VpHR5XGOuHAmAjlGF3JkQRTlMzYKpdjq1yOrqlk+rdjfO/HQAdaKoQ99ip2IKF7aEzMommKHZ+UwkYIm/wmp/Emz5a5cZ5mIblTwaTL/GZviNW9+VtqjrsQyT0BWRCDvQoECQSJso+sRQ6+jWHv74He0cedy5DpXUemd11BW3IRril9uEK5cfWKP9nezY97RawGkScvncXK2uFJNK3muOVPB3ijJ0VFOsbrneuo9V+QP1+iCJpGo6uMy2dewaAqcGG1nSeunI9JOhNd/xxq/HDBqWc9SmQv6Y5XSHe8QuRjYG8xUvWqA6TjS+W1RjNc9lwjnQmZCyd7efySWZi35u8VrXDdRFGkaTDFZc81EkorXD3Nz/9cNAODOAeqVqJrKtnB3WR615PpWU8u2Y5gCdF5DQi5jdTpckGSaDrRaL504fDhw9hstuKk6Ha7x0+KI7q8TzXl/ONA13X27t1LrOAiYzKZOOOMMzB/iDKOsfhrCaUgmtjLZDrMXhqivdzZuo2bO3fhyxa6tF/O/3LNlkldCPIz36bkzz8Du31UB7budOL0GBiYDOn2NxG6nkZweTBYrXi7ulAsFnRBwDjjdIQmO7lskh8KMr+NVHMkWtA1FkAEFpU7WXfPp1jS9y3sU66nQ/0IicOHsUWjWONxHJkM1VYrqd5WdMMmxLQBV18deiqFkMkgKApiLldcyBqSIoYkQAZSE7u8lQPg5G62cjdb8+eTwnOg0IWtm0yYyxzkLAc5O/I/KCYbjvXrMfr9aF4vut+P5vNh1iYh663Exa2YTrtl4vPeezpsuZf4tDSOzz3O1t44T+wL8uyhEDElP263BFexl4/G3+Dc8iWYKusQ5pXS196OFovh0DSsqoploAsIkS7PIG7snnB/ZsB8s4QcyGH48b9j6RtNWXSLBdXpYvPcSh6uvJ032/xkOQxAmc1YSGmXMdNno6mpCXl/AHMuhBo/jNE1beJ9BvKEUg5twT7lo1RUVFBRUZEvn4tECIVC9Pf3k81mSSQSJBKJYonR0Dzq9XpHu54VMDLlfTLOoycloRRFcdRD0ec1YelNUikNsNjSAjufprt9HvaqC7FVX4DRcfx1QKO6E4cihCeY8tZ1nf3799Penk+9ZwQj32rVOZRw8ov3HQzOhOZZBiYbevhndw/wF5Jrf4VevQpb1QWYfQsQBPGYKW/g6E45YyZwQTRgLT0NSuYDHfSbLiZhSiFm9+IVeviocxNcDkGsBJnNnpSFqYZuppl6oS5KZx049IeZnpzLhdYG5pZMp7ItT3IPHjhAwu8nEAgQCASGZUU+YCUnmb3Yaq7EVBUBHiFqXELUIOMRDqErwzZp6BrZ/q30z4P+eWDccw+W2EVYlBQS8NShfuy+cp6+fA5nVw/r46WUHDe+sp91HRGqrRLrXl/NlEmleXtCTQNRZHdE5vKzb2fAaOUsV44HzqzEVCCIgiBgdE3D6JqGc8YnyaWDZHrfJtO7DrlnI6maQnRcCRN6+1YsFSuwlC/H6JzCWLRGM1z6XCMdcZlVtQUyaRCHJX8K1609qXLXm3sIphSumOrjNxdNxzBCeF8QDZh9izD7FuGe868o8SMo636F3LmGdKWCKbGZcjZTLkio1llEhZlEmEEqBe3t7bS3t2M0GkfVCxkMhlERypO1mPwUxkMQhFGd2yUlJX8TMgl/PaEE+PwKN3fs/BH1biOJeWfRO3MFoUQCtyRRarFAPI5VDoO+geSUHLrNjDjkHd0z7IEtAZaPSWQqZNQ//BBblxEjw5qNPPQQXRYnP1h2FWtNMzhiLwEyiLrGskg3t0Zb+LjWj7nfgdouERKN5Dr/jIgLo9OFcdYsOtJpEEUOCAJ6QwOTk81YtE6UZfdh9Dag6zqaphGJRBgYGGAgFKK6/yGcmSaI+0hGV2LJKmxJm2hK6UhKFm82Q7ka41zhAGrSTGlMw6gqCJqWV+QoWCwKsowzPlT3V1icTyCbk89TeNGkXQj6ymFJIJMpHx2127HY7eQcNrCrfHvbj9ioVzBosuI0Wjmr1s91C2q5bJqfXGsLsb3NRKcsxd1wBwAHd+4kHA4zefJk6urq0ORB+PMKUpNUIk+txpg1jK4TLaTjDZnHkAkSOcOOv3128fWDOSOPBGby+KT5dFtdkAIjKldOLeGWOeWsrPGOmh81TSNlmI5ZCSGHNh+VUJr8SwGQ+99D13MIheizJEn4fD58Ph+6rhOPx4tGFIlEgmw2S3d3N93d3YiiOErabajEaGRTzilC+XcCQRBYsGABGzduJB6P47aVYHy6Hoe9G+45j1TPWrLhRrLhRgYb/wuTZya2Ark0uaYec9sjVx36h0h567LMzp07CRZq20RvGV/aFqU1pVHrMGLtNqH1Glnu+hr/2SBzR/kBUl1voCbaiB16lNihR5EsfmyVK3FYMjhFfcIIJUwQwRxLMEcgFouR6uujFsgJPp613cKPm/qoMwT5avkOFhl3YdU6qGIfVTaQdTOacyGe3X0cKpEpd/dzpWMrVzq2gmgmN89DNC2DkCESiRCJRGhqasLpdBIIBKhXVYxw3F3cslRJj/UMpp51BnqssRAZXEcunZ8gHU1G0lUqCodRDvwSb9SJEQN3e9awYOWNLKgaloOKZ1Wufynv2DPZZeZPSz1MezJMTsyv99E0tvkmcenmMINmO9eFm7lxTk2RTE4EyVqGfcpHsU/5KNYrLiJdmixcAwFlcDfK4G7i+x5AstdiqViOtWIFRu882uMKl40gk09eOguLobCfoWi2KNIjw/0bQgQzOS6ZUsJvPzID4wdEP43OKdjU07E8/R6pm68ifkEtmd63kEObMKT24GNP3grSUpu3gsxNI6NPore3l97eXgRBoKSkhDMzGXRRRBfFUSvrU4Ty5MeMGTOKUZkPS/wmwtimnBOFrus4S+vxVbeRw0Ry0r8hukpob28nEAhQsnhYeNv05g1kw7uJPf5drCWLRtVPDv3bGn2RjPYmsUumYQ7Oh1iM3vYO3rSW8/vATP7iqUErpHFnxEPc2baNj7ePT+NKQDX5uaaWZ4fHO/RbFNEkCcWtopTY4aWvYRCqET0e8HhwejxUut1oJSVELOcha0382V3FTw1ncSQjoHuH5/dqm8hdc8pYmPk6WmwfsbMfzntSQ76xp68Poa8PYWAAuWs9qcH1CJEAUrActyRhyGTytqqF6CiqgmZQEWUBgfGSQEPHV5GPG/J9Xh1/XSBft24U8ZQ40Q2vYsluR7daaQDSRiPmQABTdTW614st5kCxpkgffhZp6X0wQZOXeCgL+39GbHoS9Z9/wHNN/Ty+L8jW3mEL4IVeM1caX+Ui0+vUn/EQppKScdvRNI2kNAOvsgE5tBnH1ImjsJK5BIN7Bmr0IEpkPybv3HGfEQQBl8uFy+Wirq6OdDrNwMAAoVCISCSCpmkTlhgNlY+MnEc/qOTo7wknJaEEMBqNWK1W4vE4mqYxPScjHNaQZ38Jfcn9ZPrfJ9X5OqmuNWQjB8hGDhDZ+zOMrqnYqi7EXn0BRveMcem/USvrDxGh7GxpIejxAKD6J3Hv+4P0pDTqLRpnVTiQBQmTluP7y+u5b0kNcAneeZ9DiTWT6nqDZOcbKNGDxFv+QNwNwU8J2HLPYOvyYCk/a7QcxwhdycLg87/HTODhcJjt27czq0DudqhOfryrD5Mo8Ilpk/AZvPwmvIrngnHOt+3mZvdOpkiHUWO7+GzsNv4oLqI2HuLXM9+jztiLGtmN6g3SexE49KeYpu4iIswmIswqaM3G8Q0OUgl0d3djKXSMH490iCAaMAVOwxw4Dde8f0eJHiDTs5bA489jHFA5cFec9cIsbtK7sAKX2zeT3b+R4GEvlvLzyPpWcNNmF+/1JpnqsfDy1fOo6escPl+6znueKi467Waiqs5tbdv5XmQ3m4WbjlvaREprONqsgIrknITvjO/l09C968kl20g2P0qy+VF6xCnc2v1pOmQr509yjSaTULyvFFHi661G+pUcF0328ujFM49JbkehQEolowdb7VXYaq9Cz2WQQ+8VxvQ2ZNpwZtpwArqxhIw5L0mUEKcy0N+PqCioJhMIAqtXr8bv99Pd3f2/srJuamriE5/4BCaTifXr1//Nt38KJ4ahB2coFPpQxO9oGMoiDUXmTgSaprFnzx66uweokaZgy7Uwt0anO5mPwuljFqm2yuVkw7tJ96zLZ2K8XvQR9YM6YBmshDVvkiqPsfPSz/BIYze/29VBLJf/zjuMEtfW+2no+AVXCe9Qcc2XMSQXoobDMDiIEIuhRSJkQiEwDyBIGUyDZoxJcdh6kHxtt6hpGPrB2m8CZCikaEciYrTwatU8flv7RbaWVBdfXxjp5sauPdzctw+XqKOsNaMG4mg+M/qBH2MsW4nu86EHAuilpeQaGsBmQ08uIL7mDRQhyWH7zSxctGh0DWUBPa+eh56N4Cq7GZftQtbu7+LF5n4G42k8Sgavkmau1skCrQNXVGByqlDypSijLRazOay9Q/Qi343tLvzQ3Fzc3ySMhVdfBV7NE9IRqXrMZsxWE6aAjZxF5b9e/xFdRid+o5VLHA7OnFnFR+bVML22jFjzJhJNSeTQZkwl4zUkdV0nZZiKjki2fxu6piCIE3dsmwPLUKMHkUNbJiSUY2G1Wqmurqa6uhpVVYt1lwMDA6iqWlRGGcJLL72EyWTK2wYfpxnAsfBB82Y0GuWee+7h4MGDqKrKlVdeyf/7f//vb65/edISShitn6ZbLPm+tUwGweHAWroMa+kyShZ+FXlgJ8nO10l1voESO0w09hDR/Q9hcNQUyaXJO3dUxyMwnPI+Di/vLPmTLSfyK9qIbzL3bgwSz+Y422fAnJN55HCCn4kiTjXLfYsnFf+vIAhFnUnP7E+jJNrzzTQ7nkS2dJNgF4mN9yJIVoyBM3EqlSQNs8Y15Yy0YhxCMBhk165d+UndkP9ybeyOYa8XuX+aSL2U4LmQyO+CBgS8LFx0G9MrjHR0NvPlHf1s9pTgk5P8wvg7ahJHUBDQrdPw7suRUztI1oMhvRc/e/EDOctUYtJccvb86qyvr4/Qtm2YzWb8fj+Ldf2Y6fCRXwBBEDB5ZmHyzEKybkEWevhs7lu8PujizOyDzCeIPiRLmR2k+8jr3LWlnj3ZWqZZYzx7RoxKszxcAiCKbO6KcO1ZnyButHBbhYnVz7/AwNS6cfs+JoYkpVQVJAlz6TLMpctwzfsiavQg6d51tLRt5ZbmK+jKWTnTsp+fSI+S2n4aWvlyzGXnIJm9xZR3ECP9isA5ZVYeK6TDjxfCBMLmgmTBUv7/sffe8W3V9/7/8wxtyZItW94jXkmcRUISAiEQIGUFkgClZZRC6e2gu7S3g7b3QtcP2nvb2z1pCdAWSlmBMkIgEEjIdmIntuMs723J2uNI5/z+0IjsOIuEb1ua1+Ohh611ls75nNfnPV6vizAWXYSmqShje4n0v560gvQfwKS8Timvg2gkLjcAoMgS/f39/OQnSQs3WZb5xS9+QSQS4eKLLz61rvFj4JFHHuGXv/zlpLVHZ/GPw+m42hwPGcvZU1iuoijs2rWL0ZQ8ji5/MQweIjL4BmLOzZNup7n4Esb2/JRQ3xvkzfnqpMsNGWtZs/8KHoufw849W1OvCsxVfXy0WMfNtflYHSIeyYZvUMVfH8U+7SOZ7/t8PrZv304sFsOm7qc0+Cv0zjoci35HS0sLI0NDyJEI1SYTVSYTDA/hPvQ/iNEY9M5B9itI0SibTC4eLWzgWVc9ESk5HhdG/NzR1chHOhuZGpjEyaYfwExStH31UW+nSZolx07crFIT+B9kkx3RYkk2wOTkJB8OB454Ca2iga/157A24Sek5kBODuSATS+xosbJf8x3Irx5OXFRR+CqDQhS1rWvqsno6MAAvqYfowxvJUe4BHOwmLHOTgSfD6umYUgkIBxGUwIohhByWEQKisl7dEowXYjFkqLxQH5PstTiBxP9zV858q9VJ5PQ2VEtf0NyNY1r7tFsNgoDAfTxOBZdOZrQS2LHi+jKFyblkczmcRJzhoLzCB5YTXR4C7b6j056zhwLsixTWFhIYWEhqqri9XoZGRlheHiYSCRCPB7npz/9KcFgEJ1Ox1/+8heKi4u5/PLL31Gz28mMm7fddhtOp5OtW7cSCoVYuHAhOTk5fPGLk2uOvlP82xDKjB7gBN9tQZAw5p+LMf9c8uZ8lZi7mWDvK4R6XiEe6MK37/f49v0eyVyCpfR9yK6lSXVWQczob52oKcfr9TLS20sDIGkanY5qvvxmL4qqcfvMIg4MjPLqmIRVFjAYDRCIJUnJMbQDddYK7FPvJG+LjPbor/Ddfh6BMi+R4e3EBl6lFFCRCPXWYQDUWCB9QEgdECApA7JnT1LWQTSa2R4xUA3kyAL310GZEOKhAYlnRiRkUeB3V0zjA9NceKNxvvnmIJuDKqWJMK+8+SDxq6fjlXOxxluQwvsxdJjI3W2ld7mB0AUNSIJC3LMbKXKQXA4SWgKHZ4jkWLbhT8hEIuX09vYyV9NA02hpaaGgoICSk4yKhEWJ6xfdyiueHEosemrtRhgDfcF8FLURt2LgzsHP0KaUUa/r5Y/On2FoCTDQKmMwTSM2J8KOHAfXrWklqDPyyZ5GfnjREkS0Ix7rJ4NEIikXlP5O1m8oCAI6xzQGpCo+vHk+vYkoS/LD/KZ8J6InTKT/NSL9rwEieudcxFiUSiAsysyxqPxicfH4CObJIF2HeQzttKQV5Cz0ubPIafgs8WBPymf8dWKjO9F7GwEHohSk3+2hvLyc7u5u4vE4jz/+OI8//jj/9V//xX2AgFkSAAAgAElEQVT33Xdq2zUJnE4nb7zxBh//+Mfp6Og47eWdxZnBuHH0DOJUCWUkEmH79u0EUpPyadOmUZJXT9/LjxDqex3RfgtwNKHU2euRTEXEAx0o/g50tqrk5zSNN7o9rG7u55n9w0T014IeisM+bu/axUe6dlIfGB23rKQOtgN+83s0y1/AaiVuNiNqGnMMBhJmM47yMqKjVhL6Vgb3/hoRHbkmE8X19ZROnYqWkwN6Peq2bQS6/45/5Qr+PDSVx9pH6A+nGnIEjfNtKsssB7lB/gXyrKmYir/BWDiMPDKC4HYjeDxobjcJjxtF34gU09B35yFHE4iJxLgGH0FV0Y+J6MdEIAK+8U0+cUHkZVctf6xcypriqSgpCbTSsJebe5q5o2c3DZGxTD1lIN+BYgmie+uzyDmVqA4HWm5u0mbR5UItKEBacA2+XW+jFatIC79Ey44deL1eamtrM/qlqqoy8Ny5gIbzwtWMCNX8+NW9bDk8hC4cIjcWwaGEWUI7M7ReavVGivLmZOoos6WDhEAAWREhpMDw3qPOn6rUIwkbPPnjzDNNFI9oblqtyCYThpCVuGEvsZID6KdMXm95IoiiSG5uLrm5udTW1tLY2Mj+/fspLy+nra0NRVHYtGkTmzZtYuXKlTzzzDOnvI4TjZvNzc0899xztLS0AMlSpU996lPcd9993H333aKmaWdspvieJZRHedCmO7Kj0WPa+AmCiME5B4NzDrmzvkRsrDWVZl5L3H846ZW9fzU1Qg4BeRbR+NxkIfMEkpqN4eFhdu3aRTreOKiZ+fxbyRTrV86rZH2Xh20jCk5Z4xfn5aF7TQ8BklHPE4lRyzK6oIg9OhvrxXeSiHoY63iZ/r1/w5zYhxI8DJjx7f0twTc2Y86/CIdFRVZVDh06RHt7e3K/zTl8u1Pm/YFkpPX6vDhDQoRf9Mms86Q6pK+dweVVeQwGY6x6upmm4QC1DhMv9Wymxj9MeM4XGW1oYGiwF3/vRuziC8AYYsyNOvwaKqDKLiTnXGRZRO1+m1heBB1bqAptQdM5CennECqLYerVZer4lK4upiZ/nGMeBn8szs21V7Ehp4RKi44175+N8e3ksXPMvZeQxcxHnmpinyIyQ9/D710/I1dK1QVpCaKhPTy7qJ67hi8mElf5hH8D/zuyCU1dnPzIBGu34yKro15I/UbZ6PFHU7aNUZaW23nsmvMx696HGvMSGXwr2dQzuInuwQP8d+WdrO98CEkSuKcyjll/6pfrZBHK40G2lGGtuRVrza3s7O3jz888zG94mYhsYG5DA5c+8gjLly8nGAxy3nnnsW3bNq655ppT3q7JcPXVV5+R5ZzFmUPacQzeHUJ5ssv1+/3s2LEjI6o+Z84cioqKkrqY1grigS6ESCdwdMpbEATMJZfgP/gXQn3r8RbfzKN7+3l4Tz8dqU5tWRRY4YIP6QdYbnega5jFwcY4B8Jhiq1WjLFYSr/SR2JoP2JEQEppVOoAZ/YKGxuxoQN0FGbVUWYjZLLwesUM/lD8RV7vzCWdFp5JmA/JXq4WxxCDUYKhBHZNQjW20xbeh5bjxFFdjXPhQux2e+YY+nZ9k1j/WtTKjzEqzMPtdh85DqqKKRCgKNpOju9xtGABTuEqjJEI+wJxHpZc/MlWSb8uWROtV+NcO9DKxw/v4MqBduSsO6YQiYDPR84QJKWP2lOPo2EDnHo7qmEHcuwKFgsicVlGtFiQ7fZM5NBmyuNPUgOrDx+mRfAlx1tjHoIxj5n5Fm6ZX8qKIi/D629EsU4hetmXJj9JNA33G3cR795Cbv3XMBqmZuSOBL+foYMHibvd5GoBdKO7kRNWdGLJEWLq8yGkFA1MgClZ5c+Glo3MfYeEMhuCICAIAgUFBTz22GNcccUVDA4OsmDBApqbm9/xOHqicXPdunVYrVamT5+eeW3BggUMJYXhZwO73tGKJ8F7llDChFRNuk4hMrn8wkQIgoAhtwFDbgOOGZ87UsPY/TL49pOrbCR0eAt52IgONhIb2IjRtXBcTUZPTw979+5F0zTEVL3Zzr4xZJfAty+s5sGmPg6OhamxSnytJEy1RRyvV3miGrUJOpTpzuieww5ELUJpxXZgPYImExnaQmRoC+6PgWEozMieX6OTZxOz1/P1fSqt7gAfNSa33aIp/E+Pjre9Ag6DzJOrZrKoxE6XL8K1TzZxYCzM7AIrz14/i7IfrQWSlmJ5eXnk5eWhTZsJjX5ofA6f5SpGdV5s8Wb08SG00SEUQNB0WPbLxGfMJq4bJRHsxKK8Rt91IEYEKtUncatTYYKzRVNTEy6Xi/z8fIxGI2PRONc/s5ftOSXUBUZYc935lNqNmWafwZDC8nUHOeAXmV9o48kVKzH5K5PRwIHXUSPDbB2cxl3hTxARdNyZs44vVDxD90yw7vgGFkAkDJp6SoQykz7JSkP0+qMsf6qZDl+Ei8vsPHbNEYcmUW/HXL4cc/ly+n1+7nxyN7I+WdDtMogYxFNIuWcj3dhziinpvSNBVj3fRb53OvAyGJwIQlKTMJgq0n/uuecyM/CzeO/iVIjfqeBkU+mjo6M0NjYSj8eRZZl58+aRl2q6EAQBc/El+PavRvBuA2ZPujzBdRFvPHOIxw7B69JGtJRw93SbzB11Tm6eVYor356ZuKrAIYcDRVEwnnvuOBH3wbfuItz/BmLNPezvMKOPRMgRRaYVF6OPRomNjuJpeQWrbzeJWAFmy0xMioIWCLBdNfFHezWPF05NWUKCIxbmlp4m7uzcybyxvkkkxZNEr5pfJ7dNFFGMxqSkkc2GaLdjNIZRwmZwrqWiRkfCYsEPjKkqo7EYUb2eXstUdAaRYL6Pn4lzeNVnpslzJLs212XlQw2FXBr5A6b+J7D/x9cIV/0yk8IWhoaSbjxuN+roQfzBV9CFLdhHa5LONSnPbxQleU9SVaSYiBQDiKUoNslmqMFBDplzWV0xl9UVX6DTlBxDJDXB8oF27uhs5GpPBzqrBW1tUndTH84loRtE33Q/OArH20ymPc7Nc/AaNxMyHkY354PjjmJHYyMej4cpVeUYW25HSwxTdPUT7PNJ/Ll1iKf29hH1+nEoYVzxKLfn9bDAKjDrgjM30c2WDXK7kw5x3/ve91i8ePEZW8dEHDp0iMLCwnGvFRUVpf+t5iyhPDmMq6E8Rsr7ZJBdw2iffhevvfgoNqWJalsr4CHh7WbwzY8lvZhLL8VU8j76AoUcPJyUBTJac1gbtjELsKDyg6W13L+5g6GQwoVlDr43XY+nvyfjviPApJ7fE6EdRzZIFYzIuQ3AenLqPoy4eDrBrpcJ73+eqCuGK/o8rujzHPSWcUliDjUFC1k8lFznK26Rty0CRRY9z14/i5n5VtpGg1z7VBN9gRiLS+08sXImdkOWT3VWVEAQBHSp411Vv4jcpUsZHhpiqG8n4tjbWOPNGA39BOuA2E7UuBnRvhCdyYG4+zWihXFMwY2UspG8mBXQoSndiNocxsZgbGyM9vZ2VKOVe/ZrtHkVZoTcrNvwINa7Lh5nE/nhl/ZxQDVzQUkOT6xowKaXwXQ+Rtf5aLO/jjK2l6mvPY/zQIibQ/v4yqplaA++iL8+gRoaBmyYtIPUBu8jtv9iIpVXYMhfiCAdQz5lAqFM/0a9/ihXP9XMYW8k4wE+md3nUCjGtc+2c9APt/tSEh/yER3KU8YpRigB9nvCrHxmD2PROB+vSNb0JFL7Ecsq7zCbze+pDsWzmBzvZg3liZbb19dHc3NzRlR9/vz5WK3WcZ8xlSzFt3812tgWEMYTyt1DflY39/OXFgFPzm0A5CgRbk4RuAWe3gyB0yQp4/2MzcYCRSGq12PfuhWpoCDj820PliD0yYyNPIfOsQpTURF1Cxci6PV4AgF2795Nwn4FtcHNII8RuPReHt83wiN7Bmh1J00BBODS0hxuzfewsqgMS7QQwb8o4+QjZHWgJwb3oY4cRk7kIER1iIEAhlAIQygEbnfWkTAAA/D6g8n9BEpT76gIvJ5fxfcrb+fJ0gbCkgzEyFfCvD/QyS3aKOdoRnRxJ4qqwz+gQxh7GTEyO1mH6HKhVldnxgFNU/G9tBE15ka8/DEkk2vS38/X/FPCe/+Izbackc4SQiMetpiKeEJysUE+MhGtCrn54PBu7goNUe5zIwQDEIsijIRhJFk3ak3vY9vLk64LktJHheSiiS+j2TZntEY1q5VpikJQkrAWF+NL1PMEDv46vI3G0JGxfF5lEbdOL+SG+nzyjO/cYvFYSE/KVFVFSU32TSbTu6qYEQqFjpL7ynp+Rlf8b0Mo0xFKIRI5Zsr7ZCAIAnHJhVu8jOmzVwFfQW+pxuCUiI7uItDxDIGOZxAxUCzPIOJYzDc7Z+MaSUkE1EzhC28eIqgkuKHexYNXT6fjwH48pFI1p9DoM5kM0KRd3qqAofBiWnttnP/bN/FNEWm6aR6ibys1cg+fc/QAf8eeSM76RWWUaruBNdfPYYrDxM4BP6uebmI0EueqKXk8ck0DphTJmYxQjnsdsFqtWK1WplRXE4lcw9DQEPaffRu90kTfIjuyfhC8W1G8UPdXB4pVo/fr5xEIDKBp+wEdhepOdIEtxM0zGKOBzsR07tkv0xUVmWJUeWHjYxRFA/QHAlgcDpSEigR0BRQurrfz2LUNR/lup+sHZ9aq7P7t17HNnUXUPgvbBjPOfS5CH7sRnvkFcdGErI2Q6H8ed//zCJIZQ+HipLZk4YWIupwjy5wo0SRJ9AWSkcnD3ghLSo9NJodDMa55ag/tnjALi2z8/PVXkz9v6px4JxHKU015d/kirHx6D0MhhZU1Tr5Rmbw5J1I1mNmyFyfTiHPvvfeesL5y27ZtzJ8//6S27yz+3+MfkfKeaPxgs9k499xzJ+2INebPQ9DZ0AJtSBY/XsXEr3b2sHpPH7uGjsj6LBFG+LDWwwd0KhZXFEwVaIE8tGw7xrExhLExADIxyVTtWRrJbmUb5fQwi58nt1cQ0MxmJJ2ORUYjYZOZDc4lPJw7g7UHNhNPSQ5V6TU+XKTj1qocyl0ONNsUsFqPKIZMAiXQycDaa5BMFoqvfBEBUIJB3B0djHV3ExoYQAqFKPY+gzHswZ84D4PgwKqqDKgyf9YV8ai1kg5DcnIoqwlW9bXwkc5GrhpsRzehhM4I2LACHfDQp8f/LqmoqGazUa7ZUIQY8rZ7kYpnjHe5SUUOzYk6QnF4PR7mD445bFBVImpyHHMYZG6cWsCHGgop3fsx4r5WrEseIZg3K7kyVU1GPVMEO3roFcLNf8BgmoU1/8pJvb/x+9FGuxAjGmLSvSGz7XmCyDZXLQ/JVtYU3UFMkiGUFEC/aZqLW6a7mO58dyfI6clOPCtgNNmk/EyOm2azOTNup5H1PHTCBZwC3rOE8qjan9OIUE5Eppg8tXydXEDxpT8n6u9l/9bViN63MSUOYY/vxD6yk5/IenpnVPIrZvFZcwMJJcFnzy3ngaW1iFm1nslO66PtFI+JST47TocyvVxFYdu2bYx5PAiqgLlHz9X7byCorOCusgFuNmzEFm/GKYQAE7fbXufaol1YOy/jle5L+NAbcQJKgg9Oc/GbyyfoH6YJ7LEI5YTXjUYjFRUV6M2lyOvbCb/vC3S6zMSH38SiNAGD6AICysBaJE1kc1UFOfkWnEURZDrRhZopoBmnJvCAo4rdiTmc65xOfjR5XTTu3k1feycXecPUA4vL7Px0RRYBngyqijMWRpHkI0XskoxkLAYgoJvOQcvFTC/2wtjbxEZ2Eul7hUjfKyDIGPIXpITLL0ZOyOOOSxSB5U81cyhFJv+64mhiCzAaVljx9B7a3CHmF9p4auUMLKuTk5CEdPoRypNJeQ8EY1z79B56AlHeV5nLg1dORW5K2tqlSW22j/fJbM+Xv/xlPvnJTx73M/n5+cd9/yz+cZg4jmqadsakRrJtYrMx0fjB6XQyd+7ccSLr47ZR1GGync+b23t5WB9hfSJOLFXXV2o1cNvMYm6bWUSN40gw5pijazSaiQw2btiA5vVS43LhkCTw+Rjt6CA2MoI9uAddJIperkQMKeD3IwaDdNgK+GP+HB4uP4chYzKmZorHuLmvhTs7d3DRSCdHmz+CZjKNc+/RbLaMo49ss5HXXURccIP+KURXPXqbjcKiIgrr6kjIMiMjI4y1DmJ0P02PbOK5yKW8NibSHDxyjdbZZC4yB1hqC7Pk2suwcRmjIyMEBwYIDw6SGBtDF4mgi0TIDezAEA6gMQVDXIcciSRF4YNBxEgEhoeTgvDo4VAr0HrUPnWa7DxcMZeHKu7jkDUP0BA1jSvHurgj3MM1eNEPm9F224hE7ERCBsTRR5HrrjnahrGwELHMQSD8G4K6g+ivuiEjOD4Rnh3fJNzzPI6Gb2LJu4SWXjd/PujhTz0hRlJe73pUVkYPcmu5xLIP3DpOAP3dRJpQZhO8ySZJZ3LcrK6uzuhepzEwkHGfO1rh/jTwniWUwKRNOWeCUEqSRCKRyNxkicWIRqPsaO7Ep8wD8zy0XDt/3/sa58s7WGRsp1nK457SDwDwjcomvjjFj6a4QH/E6k5VVUh3jsfjJ46kpiNXJxA2H+ztZWxsDASBhCihxNUkQay0ssyaz67oSr7dfyP3+NfwBbYh6PIg0s8zzXu4e3gBMXR8pLSHB84RkKkBsshJen0T01bHilxOgNPpJHfBIuLxJSkpkJvQ0HgldA6LjS1MLenIfDYmVxC0NrBjYJSF+j3MNR5mLoch8gwDq/Tk7BMZiQ3yn105bE5tz+12L4fb9yXFjvPyJpdWSG+7JI2TEMr4gYsiipiHoeIKbDM+SiLqITq4ISmuPvQ20eHkw9v0fXSWqUQXhLGOxDEMw9bhMAfHIiwuyTkmmXRHFFY+vYe9oyHmuqw8tWoGOQY5M1FIRy/eCaEU0pHuY3R5pzEaTm7DYW+EC0tzeHR5SusyyyUHjqS8T1aDMh2dPot/XUx0tTlTsk6TRT4TiQRNTU2ZG2BJSQkzZ8484bn/9+H53CWtgATo1Dg39rVxZ+cOlnm6kGzWIwQtlc7O2C+m0tgT7Rg1lwtvZSXhSITC2bOxFBaya9cuhkuTSeQagxPdyFNYpy5myLKK329tZ92oSHvkyHYuNMe5RdfJTRYDuUV5CHWLUP0zULOiahlnmEAgWYeYbJQ4CsloqQVe/slR72l6PWabjU0F5fyf88M86ZyDX0qOGTmqwlWJYa4RPdSGVeIY0SQbQjyOWlSErqwsow8ZjUbxeDz0jowwOAQFsRcY1eUzbFyBKIrk5eVR4HRSYDKhi0bRRnsYW38XUtxMbt1/IgSChH0Bng3peVjNZX1WSntaYJg7Ohu5rWsXJRH/UfugB3IwA1tTjwn7KIpoVitmOZ+ELoq09jMIuUUZ4pn+bTWbDVu4BPeAjb+F+3iSbhozUWqZOpPKzdMKuHNBLXnGi45az7uN9LmeXTo0WYTyTI6bl112GXfffTdtbW1MmzYNgO3bt+NyuRgaGmo6IytJ4T1NKLNrf7RTbMo5HjJENb38aJTNmzcTDocRBAGPcwqf2dhPQDmf4boVrFpWwvWb/sTqkT4+nv8yy9nByDZAkDEVLkLSn4OkutC0vCM3/lNJeR+DUEYVBRsQj0YRRZE9pjKuQEBWVT5eY+Yq4xj7wwLf69bjVTRyHEl/85zqW/lr5Tw+t2EUFYFP21/gM9ILuN8Gj2zFVHwRppJlGAsXnzDlLZykE05au0sTBOIqfHb4P3h/ocLHHc3kxJuxxffSG45wR8diBhO5LDEf4JdTm7HoVJSxZpTcEUYXwXn8jL8VOpEXxQm1JBBUJdMxnhkUCwrIz89Hlz7WWSSSLBKZ6die0OWdbn4yV6xEjYeJDr+dcu7ZgBLcx8hiCHV1UX7YRr7Yz4dKh3jgmvMmJZOeSJxVT++haSTInAILz6yaicMwvjY2HQl/R5Ghk4hQeqNxrn92L62p6Ojj1x6J6ApZPt5wZGZtNpvPuCjuWfxzIjsymEgkzhihnFhDGYvF2LlzZ3LyC9TU1FBbW3tS59l1DTP4w/5mrhvdz43DXVSrMQTFn2ymc7sRxtUanhyWpZpfhJwcIno9tbJMhdGIuagIvV1k7VgDfz4k8rx0gGjqVuoyiNxSn89t55QzLf8IIThhvimRgGBwXO1kNuFMDLQSPbgWnebEaJyW6Vzuj2k8nFfH6vI57LMlaaegqVwxuJ+PdO5kZX8bRvXYa1clCc1iyURFC6xW6iwWFJ1A1GvEbm7FnFNBzGBAMRrpMxrpNJsxuVzklZWhn1FN3NfOrtoy/tpr5SnPCH4xASLY9RLvn1rALfV5zC/J5e1NLnb6LyBaXo7LZDqyj4EAgm+MYOMvECMJLM4rEENHIsVpwi36fKlQhgyDbUDbuH2JCyIvFdbyUMU8niv6DrGoDAQosui5aVoBDdF+XMSYXut4V+ojTwaTRSjfbcex2bNnc+211/LDH/6QBx98kHA4zK9+9Su++tWvcvfdd5/Rwuh/C0I5UTbodDGRUIa9XsLhMLIs026t5D/f6CGhaXxqbhk/vKQOSRSwFl/KnvvuQls0B99nHyDU+wrh/jcJD7yFyFvUIhKLTyWuSMmL5h3WUGYPvt39/eST7MDeKJfywJYBPiuImFWFq01j7A4I3N+tI5zQuGmai5sLi+Et+EnIxlc2uAGBHy6t4eNTP0+4bybh3nVERxsJdb9AqPsFBNGAqchFzrQoOjU4fttOMkKZ/f6aAyNcpyaf315lYpUlRkiYibX0UvbGBD6xeRhPQuZiUxs/zf81OnecGKBKTgKv1rFmbgkX2lqo0g0TnwndM2GK9CPC2jmMJqYSlOoy3quCIOBwOJJal+lzQhDGN9Vkk8tjQJRNmIovxVR8KZoaR2l9Gd9T/x9es0w5UGUY4pvytwmu/yWJ4qUYiy7BkL8AQdLjjca57tk97BoOMis/SSZzjXLmuAgTCOW70ZQTVBLcuKaFxqEAM/PNPLlyRrJxKY0JEcr0QHgm3B0mYs2aNfzoRz+ira2NSCTC0qVLue222/joR09NWPgsziyyCeS7Yb+oqiqhUIjt27cTCiVLV2bMmEF5efnxvj4OjtlzebqknO3bt9MmXUT5+96XfEPTkkGEbILm94PPd5T94sS/mtebbHwJhVIRtBRaWgiLMnde9RW8kilZkzjQwp2dO7lycD86TU2OGVlEbVwE1God99pR/xcWHjGlSEFLRBl6/iU0tZ/8qx7jxa4oj+wdYF2nm9SQSY1Vxy15Y9zq1FEl1oO/GE/nTLw9PegiESyJBKZ4HM3rRQwG0UUi6MNhJJ8PUnI5aRgAKyYgRhHPTXrMu012Hpoyl4fLb+FAVxAIImgayzQvHzYEuNamYfQPo7Xb0Ppt2Hp7CYoiql6PWlk5TgEDwF+xkejgm+QuWIKp5NKjVxiLEe14Hf/Gr2EwNuCY8hkEv5+97jB/GpP4S9TMYErqx6DGucHTyk23XsVl1aXIosDGjX1Eo+9wHD0DyHaFOpOE8mTGzYcffpjPfOYzLFy4EEVRuOGGG864qDm8hwnlMWsoz2CEciwUohIQFQW9Xs8GsZT73+oG4PsX1fDFBRVHCJ4sI2sqagSslddirbwWNR4k3P8mw+3PoLk3Y4i2ogSt6NExuvVbSNIKLGXvQzYXT74hJ6ihjKfIWnfcwAM7B9GJArIsIiY0NnkFftyrQ1HhrnNK+cHSGsS/NvPN6ZfxvYgTSYBfXz6NWxqScgO22tuw1d5GIjJCuH894d5XiQxvIWTtJnQl4P8WxrdewFR6WdKnOr0RxyKUE6IOj7cN8rGX2ggCogDXWZPF1FVVVQRyCrnrqWY8cZnlVQ7ua1jK2IAN2b8Fa3wPe4NWPlH1Cfx+IzcktvLtuv3kv9FKqNhP1OXDFNhAGRtANBE1zcatTcMvTsXj0fB4PHjb21kEBMNhlGAw2U14nAjlsSCIMl5xKsvFL1E7MsJz/BkhpwY5J0Lc106o42+EOv6GIFuIOZdyx4HL2emWmOE0s+a6mThNWbPmrEnC6RDK4zXlROIqtzzfyuZ+H7UO03hCm/7+hAjlu+njvWLFClasWHHGl3sWp4dsQnmm7RcheU5t3ryZWCyGJEnMmTMHl2vyruGTWd440isISfk1kwkttcyTbcp88803CY+NoY9E0MdiTCspwSGKaD4fI4cP8wl3E8ZgnA+Gx6iXRASXAcFUiZpuEkkT1HeAdNQwO5U7FpvF76w1PNWxFXdqhLWKcEOJkdvq8lhUlY9gs4EsE9c0Dh06xCG9HurqKCgoYPbs2ZljFAqF6B4aYnhoCP/ICLpwOFM/aYjFcIgids/rSKMHMFoXosMFgQDRYJhnxVwedtTwal5VZmysC4zwkVRKuyzim3SfLphsH7NqRguFANGoGXH3avTVfePeS9dTGvJmM5qrY1Dr5lF9EX8ZMbBr+EgwY36hjVsbXFxfV0Cucen49aXuRf9IQpnehnTKW5KkI5myd4iTGTcdDgePPvroaa3nZPCeJZQwfoDJpLzPYISye2iIOYCkqjwecbG6pRedKPC7q6Zz0/Si8V9K39CzIo+ibMFSfiWjWgP79u4iX9dNhfUlwI3ibse3+348u+9HnzcLS9nlmEsvR2fNmrVPQiizi2+F1Hk65h3EIsN/1esQXxD4XdW5/E+3DhX41vlVfPW8CjTgc94cfjttKQZUHrl2Fstrji76lYz5WKfciHXKjagxL7E/3kPY+zbBWogMbSQytBFP43co6qnEDiSiYyc8ng819/OZde1ogCSQkfGoqalhxJTPqieb8EaTTUG/vWJasoB66lRCoVU8v7eLT20aICwL3HVoC5+74FGEMY3c7Tm4/Dns+0oVOmchWriP+NgeDMEtFLOFYkGHYp6BR5uOmDpQ/lCIfTt3sgyIxuNEg0FMZHXLn4BQDoViLH97mH22AlaNJv15Debpk3MAACAASURBVM7puC75esqBZj2R/vW4h1v52O56GqMStbp+Hip/G+PgBSSKLkYypnpLs86TM5LynjBoKQmVj7zUxvruMSpsBtZcNxOXeZIoZlaEUhCEDKE0Go1nU97/JpiY8j5TSI+jQ0NDaJqGXq/n3HPPxW63v6Plpc/H9I37dM5Pr9dLKBRC0+mIGQzMmDsXm8NBNB6nra2NQZ2OC4DS0lIqp08nNtm6UtaBwoTI57i09jFS3EIwiBAMwpHmCTbVnM/viy8E4OLhw3ykayc39LZgTYx3atNMJhSTiQpZpthoRHQ4sJWUwFtvZaKkNpsNq81GtdVKtLaWkViMgVCIUZ8PTdPoB2zKGKWRPYSNIVoLP8iLg3GePTyGL5Y8B6w6kWvKzFyt66YqDFpZDd3zShhMEVOjopAjCFhVFUM0iq+vDzkUwpxIIIdCR/Yxdc+SARMG2NsF6x886nAqgshLhXU8VHEnzxVPRelOGoQUW/SZLu2pecee6KYnGv+ocSt7onOqzY3/KnhPE8rsgTBzQz1NQqlpWiZcrUoSCYNKLJZgdcsQOXqJx1fN4pKKvKO/eJzaSFEU0QQ9IcNs9AW9wBvkTv88Un4Hod5Xibmbibmb8TT9L3rHNMwpcmmYQCi7u7vZuzdpORVVock/yHzgIkMrm8ruIRSdyUPza/hU/rVowP9dWsfH5pSgJFQ+9vI+ngiasCkRnrIMckHNJSc8FqLeji1US97zzYS/9iWCcyyE+14h3L+BeGQAMOFr+QXB117CXLIMU+ll6GxJX+x0hPLn/Qn+s7MdAfhynSFDJuvr6+mS7Lz/ySYCSoI7Zhbx08vqkbK68TYNR7jr7WEiqsDne3by493Ps/nG76P4t1LFBkBF9O1CiWloyGjWmRhsJRBzo7gb0QV34WIXFAl0vV8iEelD1jzJ46codBw6RC5HCOXEbtRsDIViLH+ymX2BBBeMdvINT7LrMZ26SjrQ3IZQcQuffXo3jdEQ1UYffyz4NTbPKF7Pa3h3fxdd7myMxZdgsi3MLFs7nQhl+nzLilAmVI1PrtvP3w+5KbLoWXPdTMpsk+tqpiOcqiwjimLm3D/Zppyz+NdH9nl3JgllenKiaRpms5n58+efVuR7nGTaaRDK0dFRdu7cmbney8rKcKREzvfu3ZvxEa+qqjp+jadeD3l5aHl5py5VF4+PJ6OBANcN9NDX2c7teoX6cgHBUQZT7CQmktFAAH04fKR1sqsLmo7de2Ek2ZRTA2gp+8iY0UhQlvh1ydX8yXku+wxJ0idoGot1ET5UKLGywo7Jbka1notqsRBKJHB7PIyOjmbsMdOQZTmjEjBjxoyk0HYikdzHdIOSz4d/0zfBP0ZO2R1IMQnB76c5DI8I+fzFXMqQnBx3DAmF63UDfOjqy7ik3DHuvnAsZIuK/yOQfe2canPjvwre04RyXKomdUMVTiPlraoqTU1NmZtqzGil8yY/mhrg66aXef9Ft9BQPrlriHYCQplefpp4GnOmo5//UbR5/01keBuhnrUEe9cRG2sjNtbG2J6fYnNXUAKoES8HDxxg/4EDAAQS8L1OGWeimvJ5nVSXDGLQBjHEN3HxufBWYieKYzENhSsJRnK57aUDvHzYTb6o8tJbf2T2lRdxEhWc6Y1P/hH0mEuXYS5dhpaIIRz8Dmx7A0Eyo4y14B1rwdvyU2RbNeaSZeQYPfygfgnf6EwgCfDVOj0L9cn0kCAI7MfGTU83E46rR1LyWQP3i4dGueX5vcQSGl9aUM4PXv8RAjBn4TIU6QrE390IuBk0XY9JbMWcaEcMNKEEmtAQ0Mz16GxViGqI+PBWwmVR4ADFHKDjFgndsB5dPFnIn07r7Nixg/z8/KM6xtP6kfs8Yc6zy7z43COYypMNTtnWiyElwQfWtPD2QIgah5EXrl9AoXEp0aG3k849gxtQPE0onib8QOI8A/lbzAhiEDT1jMgGaZrGF9Yf4Il9wziNMmtWzaTacZxBLStCKYpipsbtbFPOvw/SNraqqp6RGkpN0zhw4EDGKUSn07Fo0aKT0jU9HiZ2o7+T62VgYIDdu3cn3c1S+6woCsFgkNbWVrwpXcO6ujqqqqpOa3uPC1kGhwPN4ciQ0QIWcm/q/8nGZ1VVaWlpob+3F100SkVuLjUFBUd3lGdHS9NNMVnRUtnjQSapeP1MzTXsMxRSHXBzR1cjH+5qpDLsnWTtyXtcmdWKarWSMJuJGgyEZZmgJGWcfRSjEfe+fYQLC7GVluIoK0PKy0MrKQFBQNFfSKjzKUan5vP3yIX8uXWQ3Vkp7QVFNm6pt3NdTS55ZutRdZjHQ3qC8M8QoXyvNjf+2xBK9TQjlIqisHPnTjyeZASrPwq/POzjKSMkrAlu5znY/hy9+6ZgKbscS9kV6OxTj5wsJ0soJwibC6KMqfB8TIXnkzfvm0RHGgn2rCXUu454pBfIITq4ncSuj1Kgm4U/Zwlf2JtPR0SgxF5Lx5xK/Dp4ot+DNd7ElaZGZhq7wL+WkU1rCWkmLgvOxJE3n3ssRcwe60M5lZvGJLJBgqRHZ60AwD7908hLqgn3vUq4bx1x/yF8+36Lrw7Om+Lk66EApfnnUqYrBEREQUAFbnx2D7GExhfnl/OdC6eMu+ie3T/M7S+0oqga9yyq5J5FlQg/0DLbo9PpkFLHdM6yLzEaDjM00Em4fwPm6G4s8Rak0D4SoX0kAFQXtjYP8bIiIrleoi4fUdcg+U1rAQtq/DCmxGHCWuW4jnGn04lgdXDnW0O0ecIsKLLxTC3kxKMksmpnAcLxBDc938KbvV6m2I38/fpZFFuTUUFTyWWYSi5DUxViozuTHeO960iYkgQ7R91BTbAZ/57NmEouTTb1iCdZd5OuodTp0DSNe948zOq9g+ToJZ5eNZNpzuNHhLJrKCVJGpeqOYt/H0iShKqqpx2hVFWVvXv30tvbm3nNbrefNpmE8UThnRDfrq4uWlIi5larFb1ej9vtpr+/n/7+/szn6uvrqaysPO3tPZNQVZU9e/YkS55EkdLp05lSW5sUXD+VBWkahEIZ0vnfLbvQx3q5yGAhVlpFuMZM5+goUiCQqbnUh8PoolF04TCix4OYIqQGshqZTrTaVLd5X66Tr1R+khc7ClGEpERiiUXPzdOTKe263HcWwc6uX/xniFBmlw69l/BvQyjTXarvpCknHA6zY8eOTBi/Fwv3HIrhTegpeKIIfa6fsW9eR7BvHYrvMN7W3+Bt/Q2ytSJZ+1h2BXq5DMhqkshCdu1PhnhOImwuCBLGgvkYC+aTd87XUN5eA3/9Iag69NowzthrOEde40FnHtuUc6izzyQhVfBAl56t/kKs0jJufcNN9aiXw/feQkvHOqaKB1hh3cYKtiGgo/dqMBv2o1OCiLqTcA04gbC5gICxYAHGggU4Zn+VmGcPf9/8Nwr8b1KlG+b2nNcg9hpxxYa+8GJUTSOuQSyh8Y1FlXx9UeW4G8UT+4b46IutJDS4d/EU/nNhxeTrTz2XJAmXy4XL5UKdeS4ej4ehgV78fW9hijRije9BFofwNwB0Iw8XULzOxsi5JrzxOEVoOIVOtNDP0ORcwsZzGFXrCWo1HOgf5luHPXRFRRpsIj9fkItpOFnzlI5qIklE4io3P9/K691eqnIM/P36WZRYj04xC6IOQ8F5GArOw573IYy/vAUARbai00YId/6NcOffEGQrxqIlyY5x1+Lj/k7ZTTnf39LFL3b1YZZFnlw5g3NcJ6FzdowI5VlC+e+DdIOjoiinRSjj8Ti7du1iJGWlZ7fb8Xq9Z6xzfGKE8mShpRpY9u/fDyQbGGbPnk00GuXAgQOZFHca7e3tDA8PU1hYSEFBwT+cFKS1O9PHtaamhilTpryzyJcgJLvTLRYoKmJZXV3mLX3qoWkaPp+PgaEhhoaGMmMCmoakKFgSCZx6PU6dDqumIaXkkHpbW5HDYRyimOyi9/nGNQNJPh/OSJwXz5mGpKqsnObi1oYilp5kSvt4yD4f/lGE8myE8l8ckxLKU4xQ+nw+duzYQTSl5TjirOZLb3QRUQXeV2TAZjUjDoQRp36O3HOShCnYs5ZQz8vEA114236Pt+33yOZSbBeGsA4FECfU97wTp5xEQuXgEJwDRIQK9hV+hS2HNnChfifVukFK5dcIRDZx1/Cn2BapJk9W+O9Klfmv9dGbyOOSzdPoi89gcV6EP8wfRO/eQHR4G4F6lQCvwd8vwui6AHPpMkzFSxH1JyiUnziAT3LRqhrcvUPPQ/suxaIt4aXm32BdakWw92FU+1AHnkfAgQ54afrTzK9ciaYWIUjJAftPLQN8cu0+VA3uv7iGz84rO7LwNKFMN9BMeJ4+zk6nE6fTidYwC6/Xy9BgP9rrj+DqXounQUBS3Jj7cuiIFbPivFv5wg1vc63rMLI4iDHejzmwHjPrUUULb4QamCbNJsc0ja+XSfQfPkD84EEuIBnRloGoKHPr31t5rSvZ/PL89bOOWa847vDF4+gCyfPXbbyITss0zqkKE+lfT8y9m3DPi4R7XoQUCTUWXYKxaCmS0Tl+QbEYmiTxk139PLC1G4Mk8Ni1DZxXfJKxgwkRyvTM+iyh/PfC8WwSTwaRSISdO3fiS8nT1NfXA7xrhPJ49c7Z0DSNtrY2Ojs7ASgoKGDmzJkIgkAoFMKf6tIWRZHc3Fy8Xi/xeByPx4PH46GtrQ273U5hYSEul+v/+XWRSCTYtWtXpnzgXU/Fk5xg2O127HY7dXV1BAIBhlLk0u/34wN8wGFVRZZlclPR3OFUl/2cOXOwWq1omobb68XtdjMyMkIiFEIfifCAex91OgOGXBMFcT3BgITNZjst4pV9PvyjCFz62hEEIZPp+UdPRs403tOEctyMNe1AcwqEcmRkhMbGRhKJBDqdjhZzBV99vQtVgxXOBN+YbUN4NkUOFAXBbMaQNwtD3ixyZ91NbKyVUM/LBFPk0jMfPPQgvbAsE7k05M0eRyi1k/DyjsVi7NixAzU1OKuijtt2OfDFlnNF6Y18xtSGFm3lq/2zaY0VUyEP8wfXzykTEuy3lnHNwlvoi0vMMKt8ulCkrb+E3Ny7qI4swrrhd/guzCNkHSQy8DqRgddBkDEWLMRUugxT8aXjSctEAjcRqZuFklD5+Np9/LUt2bz0p8OvceHBQbYuuITiaz7I2o7DbNr1LL/V3kAQNKpCrzKy+VUEyYSxaAlPRq7gSzsNaMCPL63l43NKx69HO5Lyzl7vRHmiNNI6lA6HA+nQEgx/egtRdylvlhZQxePEBJn35e3ig3nPIAoaqmYGx/noTbnEgl3g3cslxm1cYtyGJuiJC7PwqNMQtWTqLhKLIQkSq4IuXuv0UGLRsea6mVTknOQAkjWhUCWJuOzCWrsUa+3tJCKjRAbfINK/nujwZqKDbxEdfCvZ1JM3G1PRJRiLL0G2VCAoCr+sX8y3NnYgiwIPXzWNpeWOk9sGslLeqQhleiB8t8V4z+KfC6fj5x0IBNi+fTuRSARBEJg1axYlJSUZEvePilCqqkpzc3MmnV1SUpJxEvF4PDQ1NWXG/nnz5pGTk4Oqqng8HgYHBxkaGkJRFLxeL16vl/b2dnJycjIZkckcUM4k4vE4jY2NGSH4adOmnZJ255lC2tWlurqacDjM8PAwQ0NDeDwe4vE4w8PDmc/q9XpCoRAmkylJNnNzcTgcVFdXEwgEGB0dpWGkgEgkQigUorOzk87OTgwGQ6Z+3eFwnHKU8Z8pQpk9jr7XJubvaUKZTtUkEgniaaJ2kinv3t5e9uzZg6ZpGI1GXtGK+N+N3QjAl6bbWCKNgqah6XTJzuQJqWxBEDDkNmDIbcAx8wso3nYi372FQH2MGP342lfja1+NZCpEci7BFC8iIk85oVNOJBJh+/btBAIBbKlBvssbwRdLcGOVlZssbvqVIr7TX0l3TGNmno4/zfVjHSnE4z7I1bM+xJDeyqX6Fu6f0kqAevxqDW63G9OAj/ktBoI5s1A/+b/kaPtIDL9BZHAjkaFNRIY24Wn8Lob8eZhKlmEquQzdMQTMtazXo3GV219o4bmDoziNMvdOiTNnb3KQqamu5g+dYb6yIYjAMn4rbkQQwDHnG4T71hEd2c7vWiN812NAQOWBKTu4xe4mEV2KZMhqgDpGyvtYhHIcUhf6PkcZv+w1cR2Qa5C4vbySkfhybPFmTGonjL3N4KiFOwY/z2jiFm5zNvKJ0sMIY7vQBXfgYgcUinTfIKIOm7ij5gO8pi/AKWt8qyRI/96dxFMuPSccFCfIBmV/VjI6sVRej6XyelQlSHRoY1KSaOBNFPduFPdufC3/h2yq5pnyOXx6xpUIwG8vr+eqauckKzsO0ooGqS7v7Kacs/j3Qbbr2KnA4/Gwc+fOZMRelpk7dy5OZ/IcnFQ38jRwKoRyYvq9qqqKmpoaNE1jZGSEPXv2oKoqRqORefPmZchhdpZj+vTpyRKaVHQuGo3i8/nw+XwcOHAAq9WKy+WisLAQi8VyRiNj6Zr+dMR3xowZlJSUnLHlv1OYTCYqKiqoqKggFovR2trKUJadZCwWY//+/Rw4cAC73Z45lnq9PillZLVSWVlJKBTC7XZnOsaj0Si9vb309vYiy/KkzZHHwz9DhDKbUGbr+Z5Nef8LIeO7fZIp74n1NGarjdVeO39q7UMvCfzx6hnM0Nx0dIwmT5B0MflxlisIAnrHVKw7csjfmiDw3IPJru2etSi+/SR6/kYloAg5hEfrsAEoR9daZs/0RVHkoK2cSwFJTfAftVaWG9z0ROHbXQaGYxoXlOTwxMpZOIwXAB8hP9jDd7/+K96SCrhn1moIxMlhPUgWFMs5iEKypk6JRGg/2AtYycm5mcKZn8Qu7EcdeZPwwBtER7YTHdnOWNP9GPIKyTk3gkEdYdxlkbpIlITKB9bsYV2nh0KzjvsqFYqkWGbw/5XPzLdaDyIJ8NsrpiE+n/yereYmbDU38X9b2vluRz8iGvcX/JkV6mY8O8EjSBjy56caWrJcFSbWdJ7MbFRV2ZxbxtVqNbNjSWH6UoNGj1SAdcodmC0WRvr2MTq4mS/3T6VdKWCGvoubDM+jeWJolukYciog7iM+vBVvWZwvGa9ibagBl+jn51VNWOUKotFCenp66OnpOeGgKGQTSlk+5qAj6iyYSi/HVHo5mqoQHdmesoFcz4sDNj5/7vUA/PSSKby/vuDEx2ICsiOU2U0577VUzVkcG0eZRJwkBgYGaGpqQlVVDAYD8+fPx2azZd4/04Qy+xo5Xso7neHJ7tiuqKhAVVUGBgZoa2tD0zQsFgvz5s075rkuCAJ5eXnk5eUxderUZAnN0BCDg4NEIhECgQCBQIBDhw5hNpszafHTTd+mtz8QCCAIAjNnzqSoqOjEX/x/jL6+vgyZzM/Pp6ioiOHh4WR6O5FgbGyMsbExDh48iM1my5BLk8mExWLBbDZTXl5OJBLJkMt0ycEJ7XQn4J8hQpm+diRJes/Wor+nCWVa7gI4qQilqqq0trbS3Z0kFZbcfB7okljXOYTDIPPEqlksKc+lvX0s8/k0oRQU5cTddHp9UiPMVoN+xqdxzPg0Md8hPAfX4Dn0PEa1j6h3LzZMjDX9DKWmDXPZ5RgLFuDzB9m+fXtmpv+2VMLDm9v4GFCkg2uMbtpDAt/t1uNTNK6aksfDyxswZ/lHy5Yy7gwP8R/73iT4qT8QFFsI975CdGQnOt9GrDEdYCVHO0Su1oyXOpKuXD7AiNV6HYUNd+KQOtBG30qmXBlkeAnAT9C9+jKm0mWYS96HnBowH97Tz7rCMkotOu6tjFEgKuh0OnKdTv5r+qV8p1dDFgVWXz2dVXXjCc8PtnRy36Z+ZFHgj1c1sGrKj4kMvkWodx2RgQ1Eh7cQHd7C2O7v47lGj61dQg72INsqTpjyzsbWkMDyxbfjR2JpfmpAEgWmTJlCTU0NgiBgchbyyX122mNBploF7i8ZREzUosXbEIN7UIJ7ADB0lHPP2JWszZ1DvujjoaKfUK0MggKaoZSgfg4jiToiWsVRHeP5+flHBsXjRCiPBUHUYXSdj9F1Pq/YP8Hd7a2oAvzvwXXc/rl7T/j9SZGKvCdkGTlrZv1up/PO4p8Lp0ooOzo6aGtLei1brVbmz59/FDE73brMiTiZCGU4HGb79u0Eg0EEQaChoYGioiJUVaW7u5sDKek1u93O3LlzT9rFJLuE5v9n77wD4yjPrf+b2V60q12VVbeKZVmSZTUwoRqwTa+mpRKS0BKSm0sSUuCGQEJI/XJTgCRAICS5CQmhmGIDtrEBY2yMiyzLkuWi3vv2Pt8fuzOsZMmWbBkT4/OPsZFmZ2dn3znv8zznnOLiYlwul9IW93q9eL1eWlpaaGlpwWAwKG1xq9U6I3Ipz6LK579w4cIjShU61mhtbVWKMunp6VRUVCCKIpmZmUSjUYaGhpTWeCgUwuVy4XK5aG1txWg0KuTSZDKh1+vJzMwkMzOTUCjESNzrcmRkhGg0OmmcblpaGjrdB7PqHwVCebLlfQJAWQjjhHKqGcpwOExdXZ0y76FPy+SuhgA7+p3kJOl48ZpKylLN448ZiXxQoZxEvX0QEtvZ8ZtdaynEOPdLbO+bjyY6QGbmZmA7BLy4DvwT14F/gsbKmFCGRrUQ9GWsjGTw8I5essXYeSRFg/Fcbq2Sy/2HC0rQqCb54qhUCIBKYyMp/zMkFX0mFqfY/QYMPAd0IwYHcLifxCFqCZsWMkI5I9I83G7iSncVJtMlpM//LFnr/0y4azWuCg2hsSZCY004dz9Eyv5MUgGvq4/8uRruzQ1gF8PodDpqamr4/uYufjU/B50Af7+8nIsSWrES8MONLfxsczsaUeBvl5VxWTy1x5hzEcaci4hG/AT63sXbvQZ/z3r8GU78GcDqS9FYS8iPBBCItd4PtVxv7h7jyh4zLo3A50I9XGiNKfkNZrNCJof9IS5/bif1gx4q0828fM1CrJozGR4epr+3A0/P2xj9OzCEdvO9yFKet1WSGvKw/q0nSb3uLPxzVQT73iLq78Ic6MIMSJqUmGI8Mg+PVMjAwAADAwPKopjf20tcv05UFGf00NnQOcZnXtlDSIIHGtbw9WAb3mn/9nhMnKE8Ue0uTuLQmC75kySJPXv20NraCoDdbp+SmB1pG30qCIKAIAjjMpMTMbHDs3DhQlJSUohEIrS0tCgznSkpKVRWVk6rlTrVeVgsFiwWC3PnzsXj8Sjk0u124/P5xs0GyuTSZrMd8nsuu434fD5EUaSqqkoZH/goYSoyKUMURYX0lZaWMjo6qowNyLOTXq+Xjo4OdDqdQi4tFgtarVap9MpVzqGhIYaHh4lEIopYSp5nlbtAH6WW98kK5X8w5EUhJFcoJyGUgUCAbdu2KS0QlWMOt20Zoc3ppyLNzAvLK8lOUOaOa9UcJaFMPF5ITEOb8QlgO5aizyEttDB64BUkdxNW3sXKu/h8JrLcFSwz1XD5nAJYBYGwxI/aNIQlia9UZ/OzxeNNwMdB/mInPBhU+lTMhdejKs8C7kaXXIneocbf/y5q1/uk8T5pgpqIqYJRoZzh6Dw8HmjxeNC1qih520Q4/XqkSyoQxzbi7lqLFBwBDNyYtJ6lKVvwBBcSMJ1CWc1yvv9eD49qczCEg/y7TMe5E8jkd0qX8svN7ehUQoxsFhy8aIoqPYas8zBknYcUDSHdvAx3nhvXqUmExvYgRZIBgd41V8Tb4svQ2srHLSabuse46vl6XFI8ttE8wrAlpkg0JSURjJPJy57dSV2/m4VpMTJp18c+R3lRjJZXMTQ8wh1rm3lFHSQ14OHFpn9T7hykvlNDd+E5pMxZjk0/jMa1hWD/eiLuFoyhtRhZCyozfkMVw9ESXGIxIyMj6NrbPyCUM3iwvd/r4vqXduOPRLmz2MLdz79JNMH6Y8aI76Qn+lCenKH8eGE65C8SiVBfX09vPC4wMzPzIDKRiNlueQMKoZzY8h4dHWXr1q1Kh6eqqgqr1UokEqG5uZnu7m4AHA4HCxYsmLUqliAIimilqKgIj8ejtMVdLheBQICOjg46OjrQarWkpaXhcDiw2WzjzsHj8bBt2zb8fj8qlYrq6mpstslDNI4nDkcmJ0IQBGw2GzabjXnz5uFyuRRy6fF4CAQCdHd3093djUajwW63k5KSQnJysjI2lJKSgiRJjCUoxkOhkDLPeuDAgXEb4OOt8j6RxY0fG0IZIR6hN6Hl7fF42Lp1K16vF0EQCDgKuX1DD8P+MOfl2Xj6ygqsuvGXaZwq+0gJ5STHgw9i9lSCkTHDMhqFbNSmYWziHpyuHRSwl2vMm7jGvAnJrwcMhMMBRCnEvWcU8+1FeYf+wsjkZJJFXIkJNGSRduZ9REMufD1v4utajb/vHVTu7aSwnRRBRdRUxqhYgUDsfY8OjbB/bxC3eCbf7zyTc/Tv8qVFO8jI6UYvDaEPrYPRdbSvfoLUsQrO1lbw47ffYtFptyJTW0mS+Hr5hTxUcBoGtci/rljA+XMOv2gKogZjhwbTATNJP1hLcHgnwiN3IhEh7G7D1fwEruYnUBkciphoR7CIK5/fjTsU4bPCIA/XvUzz2WeTKbePVCpG/CEun4JMjj8Bge9vG+SV7iB2McqaDX+m2B5bwKLxxaOru5suQKOpISVzGXajD513K6H+twiP7ULv3kAWG0DUETQsRDKYiYoSYlRAihO5zZs3Kzvuyeawdg16WL6iAXcowi0LM/lhjhSrzh6FabTsYzkxy/tEWwhPYmpMZ4ZyYvBDQUEB8+bNO+RadCwI5WSJPoluHTqdjqqqKsxmM+FweJxoJCcnh/nz5x9TwmEymSgoKKCgoACfz6dULsfGxggGg4rwRKPRkJaWRnp6Ojqdju3btxMMBlGr1dTU1Bxx3vmxxEzJ5ERMVtnt7+9nYGCAsbExQqEQfX199PX1oVKpFHJps9lQqVTjHbKUaQAAIABJREFUFOMul0shl36/XyFwAJs2bVJmLo9EMX6kmEqUcyLhhCaUiTOUkWgUdDoEny8m2BCEcbtWlUpFr72Ar63vxB+O8slSB49eVIp2krbxZFGJQjB42BnKQynCZcjVqNGBASW1QbQW8p32eWzoWswCs5ufZG0lO7QVo9gCGEjBzbb8e7CI5+LrvgB9xpmIqilakrLNTyRy8PnKXyz5xtckYcq7DFPeZUTDXvy9b+PtWo2/9y1Edz126rGHYqQ2SWpjyF/K3W2p9IUEdJmLuGBODcOihEUzSIGtl46W10mXurjRsp4bLetRXS0w6P4Hhj41mtRT+O91rTxRcBrmcIBnr1vEWTnTt7eRP1NBENGlVMWSZFTgOP9f+LrW4O1eS9i1H/f+/8O9//8wRMx8O2khXuOpfHpPJwKQbLNhdTgAGBG1XP7sTnb0u6lIM/HyNQtJMRxMJqOSxNfWNPPXhl6SdWpW2YeodPYSySwBoLC4GPXcufT39+N0OgmFQrHZSUClKsGecjop+RKGwE7CA28RGt6K1rMFbOAuNGHZp0WI7EEdzcDjiW2A5FaZXCG1Wq3sHwtw5fO7GA2E+XRpOr9YXIiwZ0/s0hxNCskEUc5JH8qPJw5FKCcGP5SWlk4rSUZeR+UW9Ww82CeS1J6eHnbu3KnkhVdVVWEwGAgGgzQ0NCj+jYWFhRQWFn6o1SuDwUB+fj75+fn4/X6lMjcyMkIoFFIqczLkyuSJSCYnQyL59vv94+yIIpHIuDEhm81GSkoKdrsdjUaDxWIhKSlJUYx3d3fHUoSIdSSnK46cTUwmyjnRRodOaEIJExZCvR58PggG6R8bY8eOHYoCsU6fw91xj8lvLZrDD88unLJtPCszlAmYrEI5Fk9nUCen8t09EXYOOMlP0vLNOWbC0un8cPhstgyN0MmvkSQ1asmFt2Ml3o6VMe/GzMUYs5ehd5yFqE7YBclfmMkqDZO0w5X/pTZizLkQY86FRCN+/H3v4OtaA1veAsDn2cc9LWr6IgK1xmG+lxdErbIDAkPBNO7ZlsW7Y7VUG/v5U20Pyc3PEDSN4vZvYGzDO/zPyBd43lWDJeLnlff+j5q7Ljj89ZyIxM8r/kDRJpeiTS7FWv41Qq4DNDWupOvAq5Rr27g+aSOwEalETbcgYsgYQQr7GdXoudhUyfZ+NwtSTbx8TeWkZFKSJO58Yy9/3tWLVafipeULqdrw2rif0U5YFOWHxujoaMKiCKKYg812B/ZsLebIbrrqniMj2g5ABhuwetYTMczDpVrAkFRCIJCmLIrDUQ3f3a9iIBDlyiI7Dy0pRhSEcSk5R4rE6MWTFcqPL6aaoZwY/FBZWYkjvik7HMZF484SoUxMHUuMUkxKSqKqqgqNRoPf76e+vl6x3CkpKSEvL2/KY34Y0Ov14+x2+vv76erqUs4RYtd+69atpKam4nA4SE1NRa0+/o/wY0EmJ0Kv15Obm0tubi6hUEghl0NDMbeV4eFhZXOQaEek0+kwmUykpKTQ19eHKIrk5+dPqRg/SBw5i5hMlHOiraPH/248xhg3+xOfW+zct49dcSW3wWhkZSid38Q9Jn+9ZB63V+dMdThgwi5Y94Gx+WEhVzMnKMITv3zdAwPMA8RIBGwZ/NdOLwfG/JTb9Xwvy4dBCvFwj4Y1wwImVWy2UK0yknXJv/F1v4G363UCA1vwdb6Kr/PVuDH4WRizL0Cfcc4hW94TK5RTvn+VHmPWEoxZS1DvfhLeeZJn3OfSG7Gx2LCL36T8Cb0vRECdi1O/iG+0fYItHi02tcQXsmx0u1LJ2dGJdfc79H/lfL7cl8/LrrlYRQ+PZzyM45oOht77NobsZegdZ44nxFMhGh1PKCXpIMugLc4UrnqvEk+ogptzPXxWvxFLpB6jdABXKbh4keiWDXz+jFvZqkqiPEXPK9dWkjoFmfzW+n08vrMHi1bFi8sXUpORdHDCUcJDc+JDY3BwkL6+PoaHhxXl49AQbHba+UXX7RQV9/OzvHVkZ3kxiXtQ+ZpJpplkIKrPw6NZSLO/lLvb8+gPRqk1R7nR0E9jQyQ2ixXfBR9VhTIYjFXN461EmVCcrFB+vDDZDOXE4IeampoZzfUdaVTidI6ZaFljs9lYuHChUmGvq6tTRpzKy8vJzMycldeeLWi1WoxGIx6PBwCNRoPZbGZ0dJRoNKpsSmXLHDkCcrYJ0HTwYZDJidBoNGRlZZGVlUUkEmFwcFCpVobDYcVo/sCBA5jNZux2u2L+rtFoyMzMJCsri2AweJBifKI4cjLF+JEicYbyRO30fGwIZSQSQdLrEYB9DQ1gsWCyWHl8yMw/93SjV4s8dWk5VxYf3qtv3AzlTCId5Qf7ISqUY/FFBI2e27e56fUEOS3dyJ3pLsRohF90adk0BjadmmevWoD0nAjhsCKsMRdeTyQwjK97XWz2cWAzvq7V+LpWI4g6jCXJWEYDqEPuyS4WAMIMFvdub5R8wBsRuTDLwH8lCfgip6KJ7CIS7OOuriy2+A1kqp08UlSPQZWDP5SBz+vF6tJyY/OprJOs2LQC/zptjHnv9uDLlPB2rsLbuQpBpUfvOCuW0pOxGFEzRf70RAI54e/vdI5y9Qv1eEJRrs/Vc6klyKiwGHvhF8jb+DqBd/9M5+JcPidcyQ57DmWBHh4zPoS0bQHurKUYMs9TEoIkSeLbb+7nDzu6MWtUvHB1BadkxKMM5QqOLAqYooWi1WqVRTEcDjM0NER/fz+vHRjkFx0CYQRu2b+NUkcyjcnLyXCkkmEahJF3Cfa9Cf52wp4hftBXSW9I4BTTAD/IHiIi5SuL4nBzM6cB3nCYUCAw80UxEkEIhYjEfy+YUIU/aRv08cFkM5SJwQ8Gg4FTTjllxvfEsSCUcoVSJpPp6emUlZUhiiJut5u6ujqlmrpw4ULS0mbuzXqsMTg4SF1dHdFoFIPBQG1tLQaDQUmd6e/vZ3Bw8CDLHLvdrijGtUeziZwmjgeZnAiVSoXD4cDhcCgpRjLhDgaDiheoDKPRiNvtxmw2o9Vqles1E8X4ka59iSrvkxXK/0AkLoThcBhfNIoJUIVCmFPS+XELrGsfwK5X8+zVlZyePb3ZlCNWeU8Rqxia4DkIsLnXS29mkKXZJm5LHiUUkXiwU8tOF2SYtLy4fCHlqabYMSdUxVQ6O+aCazAXXEMkOIav+40Yuex/F4+9D8/FQOtX0PvPwpi9LJ7VbZl2hVLGxq4x3m7o5X6g3KrhVNsYIaGYSObpWEpKuPa5rWz2R8nRjPDn9P8lxx9rSaDPRqWycs1pn4yRSbXED/OC+MbSyXnOSsQoMfib2wn2rsM/8B6+7jX4uteAqEGf9gkM2ctiBE83YcZyigrlhs5RlieQyU9ZnAjCB3NTqg1GhCYLXyq7jR2ilnJnHy95XiSkCcRSgvreYWT7j9ClVqPPXMqP2xfyyM4RTBqR56+u4LSshPtmYoVyGi0ptVqNw+FgT1DHT9pGCUtRvhZs45v7NtKYvRiA3r5BegGjcQkphdeiEge45S0P+0ImKrUt/MH+EGZ/AEltIRBXjAvh2H016vWy4513sFgsyo57WgtZgiAn9tcP7vETbWd9EodG4jq6f/9+hUhYLBZqa2uPqIIz24QyGo2Ou0ezs7OZP38+kiThdDqpq6sbl9iTnDyDGe0PCf39/crMp8lkGndt1Wq14scoV+Zk0UokEol3OIZobGzEZrMplctjMafX0tKieHYeLzI5EYkpRvPnz2d0dJTGxkal0gsoJFGn0ymiHqvVOiPFuNFoVNbRmZjUnxTlnACQb/Lh4WH8koQJ0Can8dXdIeoHPMyx6Hnp2krm2ae/6xjX/kkwNj8cpEkqlLLRrgy3LlbZOlNdz6/n2Ck0zmM4ksqPO3Ts9UgUJRt4cXkF+VaDfDKxWbm4KOWgc9VaMedfjTn/aqJBJ6GHvoYnUo+nSBqf1Z3+CZK8C9DH3thh38sbbSPc8OIu7ojEzrdG62WvEFtcsovnc9ULDWwdiDLPZuDlaxaRGirA17Uab9cawp4ubk69klfN88mQnPyhaBtGVTbeSC4SIHoFtrSmYrffRnrNnSSFGwj2rY/FP/a9jb/vbSUpx5i9DEPWkoPff7wFnkgmb8jT88mkD8hkUVERAK5wlMvOvJH3QlrKdFHeePtJbBctIXDp47FZ0e41+Hrewj+wlQf3ZvOYMxeDGOKvtb2caskFPiCUwsQK5TRnnDZ3j3Htinr8kSifydFw2679ANjS0sjLy2NgYACfzxeLJHN7ub9VTaPXRHGSiifOmk9q6IuE+tcTHmtE73qLLN6CHC3dl0hEpCFEyaeY1O/fvx+TyXRIxTiM96CE8YTyRFsIT+LQkNfRQCCgkMm0tDQqKyuPeI4vcYbyaM3N5VzrcHxDZ7fbFTI5PDxMfX09kUgErVZLTU3NuMSejwp6enpoaGhAkiSSkpKoqamZstKYWJmLRCIxT9x4ZS4cDivEqampCavVqng3zsZGMJFMzrbN0myit7dXIZM5OTlotVrFCzQQCNDT00NPTw9qtXqcYlwUxUMqxidmjE9XMZ7Y8j7pQ/kfCtmPLBQKEdFo2J2UxudatLT7PVQ7knh++UIyTDPbXSeqE5WW90xEOfGfTTTaBXhzVEToGWSxTsKi9XAR/wYv7A3lcp6qivz0M/njVafjMCUsMokzkYdRqIlaC0nOAmxvtOD9yX148nyxymXvBvx9G6DnXexYCA434G75N4as81Hp7AcdZ9WBIT7zcgOBiER1SpxQAxkZGaQXFHPps/XsGvRQnmripeUL4+dbic5eiXXBNwmNNvL5ur+z1+3gL9rfk+KP+dahTUFAAgSk6Ac7bkGwYrPdRHrVV7FIewj1r8ffu0FJyhnZ8WMM16gwtxlRe3tQGzMRJIkwcPXz9XjDUT6Zp+eGScikMxDmancmm+wGStVhXs0LkR70EBLFmBApexnG7GVEwwF+8MYmHmsHvRDk92m/p6xnL709P0NtmYsxawmGrKWoI/EKZfy+k6bxsN3e5+Kq52Ok99psDddaPajii4/d4cBSUsK8efNwu9109PRx+4ZuGr0S2VqJe7J9dHRAr6YMe9pZ2AuiGPzbCfW/SWh4G655ElDPPE8jYeMCRoUyRqSSQyrGlUUxQZATu21PEsqPO+SHYk5OjtJKPlLMVoVyYpQixMzJ5Zk4maQZDAZqamo+kvduV1eXIiCaaUqPSqUaZxQ+MjKi2BGFQiFlplBu3cpt3iNp3f4nkElJkmhubqazsxOI5bTPnTsXQRAoKirC6/UqowOjo6OEw+GD5lJlcqlWq8cpxn0+H0NDQwwODio+mdNVjMv3uCAIJ1ve/4lwOp3KTQWwd4GGt1NsZPkbKZ2ziL9dWUmSduaXYNxCeASEUgiHGZlgtLuiHx7rFsGyBM/tS7nG2IAQqMMY2kmxpoNv2DqAl5A2/Rln9gUYci5AY57zQQUsHD4soQSUn1Ghw5R7PqbcS+OWQG8R3vQ80IgUGGNk+/2xNm/aqRizL4iRS30qzzUP8IVVjYSjErcUGVngipEOq9mMJr+YS56tp2nYS1W6mReXH2y1IwgCWlsZ1xrNLF/1O0LfvgVnwSi+7tWEnPuAWBtqfuABAsZaBiMluKSCBBWfgeTkT5G+8Das7Ccy+FbMKzPbjS/bCa9egDa5nALAG47gDUf5VJ6e6yerTAbDXP18PZuiBkqd/bxWqiJd1I+7TjJ+uqWHXzWAXiXyzBXVnGH6Xqxy2bWGsHMfTuc+nE1/RG21kHR2AFuPF9Ukx5mIhkEPVzy3E2cwwhVZWj6T7EYQIE1ux8kJT4KA3mjivkY/W8ck8pK0PHlmGqJreIJHG6hUc7DZvk7B/g2YtvyNsXPS8Bl7UHt2kMoOUhGIGEtiivFoCYFAirIoajQaUlJSYrvu+C5aJpSBhDnhE20hPImpEQwG2b9/v/L34uLiWbHYGWeXdoSEcmKUosFgwOv10traysDAgCLGMJvN1NTUzIq4YrbR3t7OnrjFl81mo6qq6oirvoltX5lcymQpEAgordt9+/ZhNptJT0/H4XBgMpkO+3n+J5BJgP3799PeHnPIyM3NVcikDKPRyJw5c5gzZw6BQEAhl7I4cmKUo2xHJIulDAbDtDLGJyrG5c1Yok/qibaOntCEsqurS2mB6PV6BjL7uNrQwtXWzYg6O8FdF+DLuQh9Wi2CMH3/qXE2P/IXfwaEcmxwkC1btigtmNXRDB7r7kVE4o7sCEssUXZ4i/lReymeyA3cmtvLdwr3E+pZS2isibGxJsZ2/xaNtQRLlRPLjsjkNkCTn3zsz4Sfj1kCXYSwsBC4GY25CGNOFr6e9QlVwAcYNVTwWlcJdqGS64uzWKobBTH2RfXYHFz0TB0HxvyclmnhuasqSNYf+vbSShEkYybWsk9jLfsKIVcLwkNfACkKoRF0Y2vJZi2oLYRMNQxGSnBSxOjoaPxBocFiuRpH+RfJu//zuEqjuCu0BIcbABsm0c/6vJ+i0pXjilaSM/f0g8lkj5MSIcAbG57EvvAWJPm6JHzGP9vcxo83taFVCTx9RTnn59uBVPRpp5K88DsERxo+IJeedkZqwbiiFQ1aXC1/R5UXRpdaG/PGTEDzsJfLnq1j2B/m4gwtN9liZLKkpARLczOAUgGPRCVueW0PrxwYItOkZeW1VRQkx9olgUBgnIedPF9l7Roha7eO0dzTCd9wNRZpL5HBtwkObEDlbSKZprhiPB+PpoLByDwCUpayKNr6+zmHgwmlRqOZVbuS4eFhfvvb37JmzRrUajWjo6Nce+21fPe73/1I2KJ83DEwMDBuDm22/Bpln+CJRuTThdvtZsuWLeMsizweD83NzYRCIYVMCoJAUlISbrcbTTxC9KOCRJJ2tJGPEyELdex2OyUlJYyNjSkpPX6/XxGsyHOBclt8shGY/xQyKeelQ2yGtqSk5JD3qk6nIycnh5ycHEKhkDKXOjQ0NE6YA7F5YZms6/V6JWN8uopxef1M3JgfTct7uutmV1cXt912W2zsz+/n1ltv5fbbbz/i1z0UTujVurS0VKlsiaJIdd8pbPPqqarwEAy049r/NK79T6PSp2LMuQBTzkXoUmsQhEN/UcZVKGdCKOPzMG179xIpL0dnMPAPt52/NPaiUwncW6KjXHRR5xb4Sbsaf1Tg3OQoSy2p7PHk4Jh7DSm6foTR2FxfaGwPQ1UwVAWaDZ/GkHsRxpwL0CQVTn0Oh/KhjP8/UW0hZdHPE/wmV+PsXEeybyf/Y9/JPfZ/44vk4wpWYrda2G+ysdSbQ7vk55wcK89cWYFZO81FMSEiTZNUAIIKBBWZF67E27UWX/dqgsM70YytJ5P1ZKpMhEzVDEVLGaMotuMeHaWsVYOuV8/K8/4f/7f9HR6a8zIO/RgZQicEO0kLvob6QD6jgWVE0s7nhnUh3u12Ms9m4HXPHjICboKi+IHCPX4tfvleOz/c2IpGFPjH5eUsyx8/AiAIIjp7BTp7Bdby/4bf34evZSViVA9E8fa9gX/DakStFX3GuRizl6JPP502d5RLn62j3xvifIeWm1PciALMnTs35oknz9lqNEiSxH+tbeaZPf2kGjS8fM1ChUxCbFFM9GiTF0V1/DP2hELsa+kCjFit12Of/yWsYjuMvEOg/y1EfytJ/laSAEmbgU9XyWBkHvjjyl6Nho6ODh577DFKS0vp6emZVQPolStX8swzz7Bx40asVivd3d3U1NQQDAb54Q9/OGuvcxJHhpycHAYGBpSqTzQanTXSIxPKmc5QThWlaLVacbvd4wzBJUlS5uU0Go1SlZsYb/hhQpIk9u/fr5CfYy1skUlNcnIyxcXFuFwupS0uZ2fLZMxgMChtcavVSmtr638EmWxvb1fOMyMjg9LS0hmtU7KlkCx6GhoaUkhhojCnpaVF8bZMSUnBaDROSzEOsWr/rbfeSnl5uXKcI8V01s1oNMpll13GVVddxQ9+8AMGBgaoqKggPT2d5cuXH/FrT4UTmlAKgkBubq5Sys5RWZnzei+hU+4msLgCT+dreDteJTjaiGvf33Ht+zsqfTrG3Asx5V6Mzr5wUnI5zpBXbklOg1A6fT5sxFreOpOZ3w+YefHAAElaFT8qUZMvudg4JvCrTg1hCT5XlMSNaQE8bjd+v5+29k7aAL3+bBxFy0nR9aP55/dxZ44QYj+hxodxNj6MxjIXQ/YFGLMvRGOZQC5n4EMp+00+2j2P+1qXcpahiW9l7iQ/sh1jpAVjpIWWoVxuOPvLdEsaluQYefqqCoyaaTxsDvNFV5tyscy7Ccu8mwh7e/F1x8hlYHAbGucGMthAhqgnbK5mmFgqzdqUfL6yaYigVMr/XFjCjWlBjNFWsk1t6DzvE3a30tv4FLe+aWJrYC5FRh8vLEkiY0VsxyjJAqf4tfj1+x384J0WNKLA3y8rmzRTfPxbEtD4LJg2G4jm5wGtmOd+mqi+juDwTrztK/C2r6CPTD7TeyfdASNnp6r5cooblYBigA4ohFJSa/jOm/sV8/QVyyuYnzL1IpS4KKreew8Ak92OWq0e59EGImbzxaTM/TTJmj6E0XcJ9r9J1NuJMdhLHq9h8Mby0ANCgE2bNrFz507ldc4880yWL1/OTTfdRLocV3mESElJ4Zvf/KaSAJKVlcW1117L008/fZJQfkQwZ84chVBGIpFZI5QqlYpwODyjCuXAwAA7duxQohSrq6sxmUyEw2Gam5vp6ekBYlniRUVFit+rnECTGG94PMilPOMnX8+MjAzKy8s/tNefLOJQJpdutxufz6eITlQqlUL209PTP7JksrOzUxkbSE9Pp7y8/Kg2vSqVSiGI0WiU0dHRcaMDHo8Hj8dDe3s7er1eIZdJSUmTKsaHhobo7e2lrq6O+vp65XUuueQSrrvuOm666SaKi4tndI7TWTdfeeUVdu3axZtvvgnEhHQ33ngjDz744ElCeSSY6EMJQDCIxpxH8vxbSJ5/CyFXK57OV/F0vEZobA+uvX/FtfevqAwZmOLkUmurUG7QSWcoD6HyliSJffv2oXc6sQE6jY6fdRlY3zlMqkHNj+ZCpuTi9WGR33erkYAfnJHPXfFcbq/Xq2SYulyuOLnsoA1Y8l4qjoEo3Q99B6R6fF1rCDn3EXLuw9n4SEwwkn0BxuwL0FiKlCSeQyblxBd3SZJ4cFMbD25qQy1qWZx/CiFVCXulq5mX4aVjZD+fTipnSDRzka+Bn4uP4down3BcyKI25R7+A5IOCoA8CGpjBklzP0PS3M8Q8Q/GDNy7VxMY2ILa+S7pkXdZm1bL1bXXE5QErk4JcGN6LIbRJxbSJZbjKLoJvWaIr6wfYmsgiXx1H0/afoO4xUm7w0jSuRF0UguGaCzl47eRFO55+wBqUeAvl5ZxSVHq4d8LB6u8jYVXYZj37Rgp7nmD9rZ3+HzDYjrDRs7QN/Fb4+OE/UVoHeeSn3PKB8eJj2r8cFDNw71dMYuiqyqoSp++OlWMHyNzzhxSFi9W5qkGBgYIBAJKy6sNMBjOIiXvCmwGJ2rXewT73kQMtABmwsIwZWWfYPHixWzatIlAIMDmzZvZvHkzy5cvP2pCefHFFx/0b3q9fpwI6CSOLyam2swWZprn3d3dTX19/UFRiqFQiN27dzM4OAhAXl6ekiUuV+/l0ZDjSS4lSaKpqUmZ7c/KyqKsrOxDjXxMhCAImM1mzGYzRUVFSn62/KxJrBzLqvHjXd2diJ6eHhobG4EYyZrtSq8s1JFHB5xOp0IuvV4vfr9fuY+0Wu04O6JExXh/fz+ZmZlceeWVrFu3DqfTyd69e3nwwQepra2dMaGczrq5Zs2a2AiVxaL826mnnsovfvELRkZGZhREMB2c0ITyIEPeOKEUEoLiATRJ+SSX3k5y6e0Enfvxdr6Gp2MVIed+nM1P4Wx+CpUxC1PuRZhyL0Ztma/8rtLynsLYXJIkdu/eTUdHB6Xxc3mlN8z66Bi5Zi33F4SxRf08O6jir30qBOA35xdzc2WWcgyj0ahUryaSy4ggICDQsMeHlHEWjqKrSdEPII7GWtWKYKTxEdRJRZhtFpLtU8xcJuZ8SxL3vH2A32ztRCsK3FeioUzlAqC0rIJ+tZVPbtjJiBjm+s56fp+0mSFdEsGRXQRHdjG263/RJJfGBD3Zy2ICovEfzvQ+xAkYb+A+gq9nPavrt3Pz6efgV2m42bKab5hexusrxquvYYz5+HzQ1NLGj1rVNHiTyDOq+Nd5+WSHP4Wvey1h5z5Gq4DQo4iCkWcu+gT3BNNRCfDni0u5Yu70yCTwgQ+l/ICM3x9qYwaBrOu46Z15tIY91Fq8/Mz+FjophCHSAN0N9PT8AV3qKRiylmL3u/hF8Zn8pFdApxL41xULxvtdTgfxhUWKz40lerRNXBR9Ph+dXV10AhpNJU+MLqIn1MCdi94hPTud8vIyJCnKm2++SUZGBtdffz379u1j7ty5MzunaeLdd9/luuuuOybHPomZYzYtfhIxE0LZ2tpKU1MTEJtnq6ysRKPREAwGqa+vV2Ym586dS35+/kEkLXE05HiQy2g0yu7du5UKam5u7mFn/D5syPnZAC5XbL3XaDSEQqGDrlFaWhrp6emkpKQcN3LZ19dHQ0MDEBM0VVZWHtNzEQRBGa0oLi7G7XYroh6n00kwGFRm0GU7IlnQE41GycnJ4bOf/SwrVqwA4O6772b16tVceOGFs3J+E9fNAwcOkJGRMe5n5L+3tLScJJQzRaJnpOIDeYhUG62lCG3ZV0gu+wrBsb3xyuWrhF0tOPc8gXPPE6hNuaSG5uFSVxHR5Md+cZJqSjQapa6uTgmlJymm3O0b8zG/RM892X7M0SBP9at5YUBEIwo8ftF8ri2ZuuIzkVxq//IXIBbV6EmoXOr1Z+IouooU/WCMXHavJuzaz6gVRm8Eje+XGHYfwJB9ARpLXAXqCO3kAAAgAElEQVQXv1ZSNMqdb+zjsZ3dGNUi989TUSzG0gbKy8tpk0wsf7YOZzDC58xBntzyDNFP3oDukicJDG7F27U6NuM52sjYaCNjDb9BY52HIWvZ4Wc8ZwCVzsZmYTE3t6TgV0l8q+Udrl+yHyIC5kgTZk8T6YIKt6GSW9uvocFrJVMr8YNcH91tPga1FaRnL6Fwx1NEe9biPDuVp8byud+wHJEov0x/mnOcKfi6l6JznIGomoZB8BRJOaP+MFc8t5PdQx4W2rR8MyPIkOomtOlWCuyD+LrXjLNC+ofnfL69YDlqJP7vsgWcmzfzL/5UWd6Ji6Lc8pLJpcvl4i+dEZ4dCGAwFtFWPofNW9/GtH07Tz/9NBBrOd59991HXZmcCm+88Qbt7e2sXLnymBz/JGaOxCH/Y0EoD3VMucMjK83tdjsVFRWo1Wr8fj91dXVKGkppaSk5OYeOzoUPn1xGo1F27dqlPAsSrWw+aphMgCPni8vCv1AoRHd3N93d3UqLNz09ndTU1FkbhzgcBgYGlGq11WqlqqrqQ3ttGXJ1t6CgAJ/Pp5DLkZGRcXZEAPX19YyMjCg+rgCXX345DzzwwKzcB5Otm16v9yBje9npQPbCnE18bAglQFR+sE6oUE4FrbUYrbWY5LKvEhprxtOxCk/nq4Td7aTSQWpwLd72LFIAyTuKJEnKjREOh9m2bZsSWE9aLs/2beF7QJFB4L5sLxoprORyG9Uif59E9HEoGI1GtHHbgdrKSrr1+knb4nr9GTgKryTFMIT6zUfwRuoJWfoJNf0BZ9MfUCcVxNrimloMQLfTx2M7Y7GCPyoWKBBjlhwVFRU0BrRct2In3nCUmxdm8lt3EyokopKEIKrRp5+GPv00pKrvERjcFjMz715DaKyZ0FgzzsaHUVvmkmQ3Yk2JKD6hR4I1bcPcsKIBf0Tie3ve5Ptt7/L65d+gcE4mmcZOvF2rGenexB0HzmRbwEqeeoCn8ldh1BUxEC4mGEyms7OTlE4/+dsM/GHezdzvTUWUovwq5UUu0m/E2w7e9pfimejnxEQ1GedMnS8+SYXSFQxz9Qs7qet3U5qs5dsZboyq2GJdFp9JMuVeQjTiJ9C3kb9u382d2RWIUpTHCtxcXHjo2c0pMQWhTERiy6uwsJDfvtfCP3e1oxHg7rwwRfoov/jrX+nr61MepsXFxWi12sMugvfddx/333//IX9my5YtnHLKB63+rq4ubr/9dlasWKHMBp3E8UcikfowK5SJHR6If2fiLWKPx0NdXR0+n09ZnxwOx4zPYSbkMi0tjYyMjBmRy0gkws6dO5V2fFFREQUFBf8xZFIURfR6PXl5eeTl5Y0jl8PDwwfZ5aSmpuJwOEhNTT1mLg1DQ0NKolBSUhLV1dXH3RHCYDCMu0YDAwP09vYqHODll19m8+bNyudus9nIzMw86D6YzXXTaDQqqTwyZJX5sbAsOkkopwFBENAml6BNLiF5wdcJjjaye8MfMAW2oQ/3ARYCve/T99rlGHMvQpuxlLo9wzidTgACafl8+d1+bgzHbpxz9R4aomF+2a3l3dFYLvdzV1ewKNNyiLOYAvEvkV6rnbItnkguK/YUUPhWO4NfvoJgObG2uKsFZ9Mf8boErCSjCQ5ziqmXm/KyyBF9Su7tNrfIp1/ahT8S5Y7qbH62uAjxlZi9zcRZSEFQoU87NWatU/ldgsN1eLteV9rwI3YY+Rxo3D/B0NAYq5Ra5037ba9pG+b6FbsIRCRuytXw4+fXEDCZEnwmF4BjGTe272RzwMkcvYe/OB7DEeiGwHtYAck0H5d6IWLUxxNzavgfbyqCJPHk1uc5rzqP8Pn/xODfjr/3DQID7+Preg1f12sIog6944xYBGTG4lhspQz5YRt/QPokgetW7OK9HhdzLVq+m+HGrILU1NSDBtxFlZ7XPBV8c2/snn182wvcsOSLHDHlllve08z1/WdTH997px1RgLvyJSpMEoFAkLS0NAYHBxUi0dTUxPLly1m3bt0hj/etb33rsPYUqakfjBMMDw9zxRVX8Mgjj1BTUzOtcz6JDweJFj+zSSjHpY5NwMQOT05ODiUlJUiSNC6XW6VSUVlZSUrKEW68EnA4cilX5WRy6XA4sNvtU5LLSCTCjh07FFJRXFxMfn7+UZ/nscB0rYG0Wu04q52BgQH6+voU8etEk3A5AnK6Ru2Hw+joKDt27CAajSr+orN17NmCrPqWhVeCIKDX6zEYDArBGxkZ4ZRTTqG3t3ccT5nNdbOwsJC1a9eO+7fe3liQiCIAnUV8vAilbCx+FMP+giCgs5Uxar6aPvXF1JaPAb9DlLSEXAcY2/0I7H4Eu5iBVlNNZ9qlfGlDL55QlJLUmDo3EIUHOnTsdElkxnO5y1KP0D4g0dg8jkPNXIaiUQQEeg8E6c45h/SCy0k1DiMNv0N//StAFLvg4W+pDxDwpeHWVpG94AY2jsLnVzYQikrctSiPH5wRn1GSd1eHmIESBBFdSjW6lGqSK+4iOFJP4IUH8YhNsUrpnkdx7nkUtSmPQikCiOOqvROxunWYG16Mk8l8Pcs1gwiASq1WfCa9oQjXrdjFm51OCqx6Xr3uNLKNS/EPbMLXtRpfzzqiniYsNLFSfxZfqb4SgAe8jdzYsYOGeSnsa+pCpcokNfXrpOVrMQV3Euh9A3//Znw96/D1rIvHVp6GIWsZhqzzDqpQfvmNfbw9JDHHrOHuTDdWdaxlt3DhwoMW69dahrhpZSNRCX49tIMvtG/Hr9UeNaFkGovtay1D3PpaTCX5tTyBRaYgWq2W999/n127dqHX61m6dClJSUmsWrWKK6+88rDHlCuf04HL5eLyyy/n3nvvZenSpQA8+uij3HrrrdP6/ZM49lCpVEfsGTkVpqpQTuzwFBYWUlBQoKhm6+rqCIfDaDQaqqurj0k1ezJyKVflpkMu5ThIebZz/vz55OZOQ6h4HHDgwAFlpGAm1kAajYasrCyysrIIh8NKy3dwcPAgk3C73a4op6eKlDwcxsbG2L59O9FoFKPReMh4yuOJSCTC9u3bcbvdiKLIwMAAGzZsAKC2tpaFCxfy8ssvc+mllx7Upp/NdXPJkiX8/ve/x+VyKXGj77//PrW1tbM+PwkfM0IpZxLPtEI5GURRBEFAssRECTpzCZZPfImOHX/HGNiKPtqLPrCK1M5V/C01m1796ZzeFKZfa+JG+2nscsVyuV9avpA51mnM5k2F+PsTwuFJicdEchmNWxYI0Sh+v5/2jg6ao/DTjkXsHq3mv5e8x3XpB9ALzeikAXSB1Tz71jDfHvw8EUTuqTHxvTMSBt7lP6fZuo75NlZiHjoFx0vduO7+Au6cUbxdqwl72pGkZCBCz2sXK4IerW2B8nqvtw7zyTiZ/EKBniuMTsRg7LVVGg0hwBeOcP2Lu1jfMUq+Rc+qayvJSYpdY0PGORgyzkGKhggMbMHTtYZVu1KRBJHfpvVxizn2lTCazQiCQCQSURJoRDGFlJTbSav9RjxffB3+vo34+97B3/cOI9t/iKEkmSS3H0tXTPX/RrebbHsy38/2YtdAcnLypLM+b3eO8umXdhOKStx3Zj5ffepfsct6FIvlVDOUE7G5e4zPvLybcFTiS7ki5yX5UavVNDU18cADDwCwfPlynnrqKWVuLZywgTla+P1+rrjiCj7xiU+QnZ2tZNv/8Y9/PEkoPyKQBY6hUOiYt7wDgQBbt25VOjwlJSXk5uYqmdX19fVEo1F0Oh01NTXTfvgeDRLJZTAYVGx2piKXqamptLS0KMKW8vJysrKyDvMqxwdHSiYnQq1Wj/NxlP1wBwYGFF/HoaEhGhsbsdlsSuVy4ozfVHC5XEpeu16vp7a29iOZfBSNRtm5c6cSBerz+bjjjjuIRCIsWrSI1atXY7FYiEQiyj1+JJjOunnZZZdRXl7Or3/9a77//e8zODjIX/7yFx5++OGjf6OT4GNFKBWLn0OIcqYLZSGUVeQ+H9ubfYQ0l6ExXEmH6KG95XUuMm6jVNtFafTfOKMOzj7nyzSrLVSkaFlxTdX4XO4jgfz+pvGANxqNqONtoYK8PIS5c9nf1cv9DX4aveDQqykqPZUu7akIwPw8FS+3tvOttnwkBL5je47PDb1B7+t5MZ/LnAtQloKZzkLG1ek6VS7qBV/EWn4nobEmhIe+DFKUiLcL194nce19EpUhE0P2MjZyLp9b7yMQkfhigZ7LjbE4RaV0LwgxMrmigXXtMTL56nWV5FoOXrAEUYPecQZ6xxk8/cqPePOdpzj3659HtSf2Bc/OzcW+eLGyKMo77pjRLQhCEnb7TaTX/BfWaBPBvvX4e9/CZx3Gdz6YHx9ChcgX7Rspy1pIssaGxWKhurr6IDL5fq+Ta1+IjRJ889Rc7lo0Bx6P21AdzVyQ7GV5CEK5e9DDNS/swheOcn2WmsssXkRRpLe3l7vuuguACy+8kCeeeEKZUZruA2C6+NOf/sT69etZv349v/rVr2b12CcxexjnmDFLmCjK8Xq9vP/++3i9XgRBYMGCBYpZdF9fH42NjYplUE1NzVEljRwptFrtOHIpt8UnkksZ+fn5ByltPyqYLTI5ESqVCofDgcPhUDYCcoU3HA4rCTRNTU1YrVYlpWeqz9Pj8bBt2zZCoRA6nY7a2tpZX4dmA/LMrzwvKwgCt956K36/n/nz5/PSSy8pFj4qleqoqoTTWTdFUeSll17itttu44wzzsDv93PvvfceEw9K+BgQynHD5LNYoZQX13D8z4DLRSgUQqvVsl7I5OdbexCFayHjRhZLW7GEd/Cq1kKzIZUzvAf4Te4j8F4xzpwLMWZfgNqYeUTnoUQ/TneRj5+vRqXCkpHDfRuHafQGyTepuDfXjz1+OAn4f9slHu2JkbUfV6n5fOocfF3ZhD3tuJofx9X8OGohBcuZPgzqfoRDtKmnfgMxIhqbUy1VknIcS/4dE/R0vU7Y1cLK+ve5o7+aEBpuc+zhaq2En3yKiorJT0sDwCequOHFBt5oH2GORc+qKcjkRGgkiYv69+FXaT5o3atUByUnyAbJ8jyhvOMWBD0226dIr7qd9D9/n7XpPgqkIQC+ZFmBFFxBUJqDPftyJJ8DkvKV164fcHPVc/W4QxFur8ri/jNj11v2oZxOu3pKHKZC2Tbm54rndjISCHORQ82nbF5EMeZ7+tWvfpVIJMJpp53Gv/71r2NaCbjjjju44447jtnxT2J2cCwJZTQaxeVy8f7774+bi7TZbESjUbq6umiOx5EmJSV9ZFqdifOEwWCQrq4uDhw4MK7i2traSmdnp6IWP9TM5YeJY0UmJ0KlUpGWlkZaWpqSL97X18fAwADBYFAJW2hubsZisShtcTlFxufzsXXrVoLB2BhObW3tRzIDWzasl22hDAYDn//85xkbGyMnJ4eVK1fOqjPGdNfNnJwcXnnllVl73UPhhCeUcqsmEokohFKYxQrlSDzjVgyHMRiN/Mtj508NPTHvxnIjZdIIPoqwzzmHbyf1k/en57kivY8RvYHgSD3BkXrG6n+J1l6JMedCDFnLUBtnsJudZIbykIg/FHpDcPEzdewe8lBm13N3phezIKHVasnMzOTRhgEe7Qkr+eLl4SC7Rk8lPf8SUo1jqMY24u1+nbCnk+FTAV5C9fr2D0zUkw9j1nsY4qm1lqC1lmAt+yqvNOziq6sHCCFyh3UlX9OvBD9IahtJzgsJCGchimqWl17G2rYR8iw6Vl1bSd40yCTwARkXxfH/Pe6yjd9xDw0NKe2ccDjM8PAwQ0PD/NR/Dn/2l1F8/hg/zd5DtrGJpMhutKE23E0P4W56KJZklLWMTvO5XL5qlJFAmM+WOfjFuQk2IqGjr1AequXd7w1y+XM76fEEOStVwy2pHuUjkXfUpaWl43bUJ/HxxkxNyKcDmaT6fD42b96szEXKUYrhcJi2tjYlotBut1NZWXncFb2TIRKJ0NXVRTQaRRAEcnJy8Hg8ihI60WbneJPLD4tMTkSiH64kSUrYgpxAI8cb7tu3D7PZjN1up7e3l2AwiEajoaam5qjiCo8lWltbFRGO2Wzmtttuo7e3l5SUFFauXHlMRDAfNXz0vpXHADKhDB/GhHwmkL98PUOxSpQ6EuHRYSvP7uvHrBH50XwtBVIsv7OgoICioiJEp5Mvtm0jXHgehkv+SmBwC97O1/B1ryE4XEdwuI7RnT9Hm1KDMecCjFkXoDKkHfpEZlqhFEU6DBaWOB3si3qoTjVwV7oLoxBV5lJ+Vz/A71vDqAT46Slp1GrcOJ1OZeayHdDpanHMuZjspnUIm5/AWaUh7OnE1fwEruYnUJlyMGYvi8U/Ho5cHgKvHhjis2uHCUoiXyrQc6m+goGwRKqqCcHXgvvA04z4nuWu077M67Y55Bhh1TULZjaXKj8gRXH8f0+BibFcw8PD9PX18ePtA6xIL8MS8nOnI4AqrYo+oRp9Xg42Qz/Robfxdq8l5NxHy/Awn+3NYiBi4zLHCP9ba2fcFYpvEKRjUKF0BsJc9Xw9+0d9VNs0fC3dg0qI7ahvvPFGnE4nubm5rFy5krS0w9x/J/GxwEEhEbMEeR0diq+jer2e6upqjEYj4XCYffv2KakycvTfh+01OB3ILVm/349KpaK6ulppZ05six9vcplIJj/s2MdEyEIdOYFmbGxMuU5+v19J8pKRmpqKJEmHFGweL3R2dioK+aSkJL7xjW+wf/9+TCYTK1asoKKi4jif4YeDE55QynYXABGZfB1ly1uSJEX6L89QhkJhnt03RIpezQPzRDKjsVm8efPmMWdOPCUmIaYx5tl4Ovr005Gq7okph7tew9u9luDQNoJD2xit+xm61FoM2RdizF6KSj9JYkuCKGc62C9puPjsm2mLalmUbuQbaU70wgeKuZ9t6+UX77WjEQX+emkZl8dTYnw+n6IWdzqdBAIB2js6iLT4OeUdA4hn4b/9KlRjG2PWQJ52XM1P4mp+EpUxOy6wuQCtrXy8OvwQWHVgiE+/3EAwInFzgZ7LTE6COEiedzt5hYWE3O2MtK/m9rfVrM/IJ9c/ypNZ/4tmQ4ThrCUYspehT1uEIB6GlCW0uZXYyWk+tGTftYf3uFgxIGCKhFi18S94P3k5HmL3SmtbB62A2Xw+jpIbCEX7+NJaN70RPYsNu3hQ9xhDb0Xis6JLMGYtQxeMb3qOphIziW2QPxzlhhd3UdfvpsSi4VsZHnRibBG85ZZb6OvrIzU1lZUrV35k7U1O4vjgWBBKT7zDA7GUlqqqKvR6PeFwmKamJsUyKDs7m9LS0o8ckQBwu91KS1atVlNTUzNOdT6xLX48yeVHhUxOhCAIJCcnk5ycTHFxsSK+CiVEGvf09NDT04PBYFA29Far9bjfE/JsL8QSnO677z7q6urQaDT885//5Iwzzjiu5/dh4oQnlHDwvOPRtLzl+CyZUIZ1RiIq0IcD3J32KhXptRiisZu8rKxsvLJPbrlPyP0WRA2GjLMwZJyFrfpe/H3v4u16DV/3GwQG3ycw+D6jdT9Bl3ZqnJgtRaWLG6DPoOXdOOTh8n4bPSaR86Uxbk8LoRUkzGYz1dXV3Lupk4e3d6FXifzjinIuSDBZNxgM5Ofnk5+fP45cSvEvs9flZkfTGDpdDY45F5FqcsXIZfdqwu62DwQ2xmyM2ctI0g6iRppSzLPqwBCfeilmUySTSYiZAhcWxpJ2ovocbm9exHrvMLneUdY0/BPNJ7IJjuzE0/osntZnETUWDFnnx8hl+umTk0uZUArCtCqUE/HzzW38/L129CqBf+x6mTOGO1in1VJRUaHsuuUdd/eom3ta1HQE9JyaouXxxadidIXxda8h7G7Fve9vuPf9jaGrVSTtVaMZ247OdAaCOPOvqjDBNigclbhp5W7e6hwjz6Tmu5keTKrYInjnnXdy4MABZUe9YMGCGb/eSZzYmE6qzUzQ2tqqiBdUKhW1tbWo1WpCoRANDQ1K1fKjnCrjdDoVsYhGo6G2tlaxZ5kMU5FLOVnlWJLLjyqZnIhwOMzevXsJhUIIgsD8+fMV2ya3243P56OtrY22tjZ0Op1CLm0224d+j8jEF2Kb8l//+te89dZbADz++ONccsklH8n79ljh40Uoj1KUIyceyLvmoRD8rs3NlSpQhSVuNLwM7pcJiJmYci8m1TLBqDuhQjkVBFGDIfMcDJnnIEUC+Ps2xshlzzollm+k7kF0aYsw5lxEshCRT+6Q517X7+aK53YyGBG5sruRH4tt7Ks4n6SkJKqqq/n22238qb4Hk0bkX1ccOuovkVxGxsbguefQxt+bXLmMtcWrceRdSKrJjcoZr1y6W3Ht/TOuLFB/UcQYeAn9cCZaW4XyxYtKkkImby3Uc4nxYDIZCEf59MsNvNYyTLZRw7rXn6Ag2Yj/vL8T9vbEBT2rCQ7vwNP2Ap62FxA0SRgyz8WYfUGMXKpiQhMhkUROMUM5FX63rZP7N7aiEQXuKYRz18dmaCqqqzFmZJCRkcG8efNwOp3s7+rlW2/30hGAeYYo30h309AMBkMtjvyLSTF5UP1/9s47MKoybfu/M71k0iczqbQQEgMEQrEroECwoqKrixVde9d3rWtj9/vWV9zd9/3WlWWLXRAURKSDC6Ki0kMCoSUhpEx6Mpk+c+Z8f0zmOAkBEggQkeuf3TgzmSeHmedcz31f93XZvw/FVrKXljwRfnwIhSYWffJ49KmXozOfh6Ds5jBCRMtbkiQeXbuXJQcaMeuUPJ/qIk4dIpMvv/yyfKKeP38+559/fvd+/1n8onA0E/KeIDy8ENZFQkhzplar8Xq97Ny5U7Zc6ctG4C0tLbKNzfFYGPWUXJ5IbvbPiUxu27aNtrY2BEEgLy9Plt0MGjRIjokN+yp7vV4OHTrEoUOH0Gg0sh9ob2awHwl2u53t27cjSRJGo5EPPviAL774AoBZs2Zx2223/aLIJPzSCGW4jXkcFcrORrstKiPP7vFR79cw6lev8WpaKZbAFqIDO9AGawgc/De2g/9GHZuDIa0gpCXsBqGMhKDUok8Zjz5lPEHRg8f2La6qFXhq1uOt24i3biPqSiMaNHhrf0ThG4NCc7jB7481dq5btJMWb4DrtE4++XEeFWPHEBMTw7C8ETzyn1I+3l1LtEbJwqnDOD+1+ybBmvbpX3NCAhdddFGXbfEQuRyBJWMSiVEOlK0b8RR9gj+6FXtgPfZ162VrIK0UJBAEf1DivoE6prSTyczMTFnU7A0Emf5lMSvKmkiJ0rBiYn8GfdRMMDY0+acyJGMafDumwbcTcNfirl6Du2o13oatuCqWhKIUVUb0yZeiT5mEGj9K6NDy7g6h/MeOap5dfwClAM8NFBim9SC0V1wNEVUKQRBQGaL47U4X+12QG6/n72PjcDfX43Q6cbvdlB88SDmg0w0lKW0COW/fj7OfC/tVA/E1F+E8uAjnwUUIqqj2dU9EZ7kAheootik+X6h1r1Lx0oZS3iuyEa1W8GKaB6smRCb//Oc/s2HDBgRB4N///jdTpkz5xW2CZ3Fs9JaGMtzhCesiTSYTbW1ttLW1UVhYKO8bXXZ4+hCamprYvn07oijK2vMTmTw+meTywIEDlJaWAn2bTIZThcKHiWHDhh2m4TYajbKvstvtlq9Ta2urPGUfGZN5IiT8aAhrZkVRRK/Xs3LlSt59910Ann32WZ588slf5D56xhPKDhuhJIWGHHpIKDsb7QYsA3jiGxvNfoERUUGeSQ8gKNOpU6WjtN5HSnQLNG/AXbUKf8tuWlt201r0ZzTGIcSM9GAMOo7xjodDodRhSL0MQ+plBANuPLUbcFWuAOX3ALgOfEbr0gXoLBeGpsWTx6FQm/j6UAs3Li7C4Re5oX8UzxzYhFoKolerGZY3gvvW7OezvfXEaVV8cf1w8q1Hbtd0iQhj8yO1xQ8nl3nk76onpnAtzXeNwakvJdBWhmP/+whSLGoEPuq/mARtDh4pg8zBWTKZ9IlBbl26i+VhMnnjCAYG2nVYXWwaKr0F06DpmAZNR3TX46pei7t6Nd76zbgOLcN1aBlNo5VExSrQOn8kOtBe1TuGhvLDYhuPf7UPAXhmkJJ8nRulUoku/LoI7WNYt7ix2s6QeANf3phHkkEDDMbpdMomyeGYzIqKCvIaJNRNRsrveYnELAmtczPumrX4GrfhOrQU16Gl7fniF2FImRjKF1dHTD9KUujgotPxl82H+NPmQ+iUAs9n+OmnC8kc3n//fZYsWQLAm2++yfTp03+Rm+BZdA8nSihFUWTHjh3U1dUBkJ6ejtVqZcuWLbLHaxhxcXHodLo+OYDR0NDAjh07CAaD6PV6Ro0a1at+mD0hl+GK3JFI08+FTIZjNpubQ4OsQ4cOPWYuu16vp1+/fvTr1w+PxyNPi3eOyVSpVCQmJpKUlERiYuIJD3V5PB5Z5qDRaNiyZQuzZs0CYMaMGfzhD3/oc5/ZU4UznlBCp41Qp0NoawtpDrsx8NDZaNeRNJD7vq7G4Re5Is3IjJgWVBGfnRpbLTU20OsvxZo1jQRNDVLjetzVq/E591B/KdRLW9GuvwN9WgGG1IldD9scBQqVXrbnUW36H9j6GRpTNggleGzr8djWg0LND9obuG/vhXiCAtMHRnGDvglF+wc9Kj6BX6/Yy9LSRhL1ar68YTjDzMeROHGEpJxjkUtHm4OkRiV1pf0RC+5nr72WjcVLmaX4HgUSo6TV4FqNpE7E1FaAt3EyxAzltqUlLCttJNmoYfm0PAbF6hEanB3XcgQo9WZMg27GNOhmRE8j7pqvcFWtwlv7A21DRNqq/4LqoIkYVHibC1EEzkehOrzq8OmeOh5YHYopfGqgkrG6UN75iBEjUISvQ3hYSwxy+9Jd/KeihX7ROpZcP7ydTIZgbM8fHzhwIC6XK7Qp2mwogkH8ajWVlZVUAmp1Bmbzb0nKVKH1bMNTvdtbc60AACAASURBVAZvw+ZQjGTValBo0CVdgCH18tBhQjCEcskzRvDChlKUAjzTL0i2PnSiXr58uXyifv7553n88cd/sZvgWXQPJ0Io/X4/W7dulQnDoEGD6N+/P5IkkZeXR2FhYYff29TURFNTExqNRrbrio2NPe2f0bq6OgoLC+U258lOazkWuQwPqnRFLn9OZHLnzp2yZjYnJ4fk5J75Mut0OjIyMsjIyJCvUzjJKBAIYLPZsNls8hClxWIhMTGxx/ZT4c9xeJr/4MGDvPDCCwBce+21zJ49u09e41OFXwSh7OCfFp549XqPSSg7G+1Wx/bnkXWV+ESJXw+KZpquAYUQ0v9kZ2fT0tKCzWaThcNl5RWUAUbjRKw5t5DgLILFf8AxOIC3cSvexq207PhjaNgmbTL6lMtRanvmnC9oQifjqIzr0VxZgLvmP7iqVrKk1M6TZefhR+DemDXcwwHaAiMwxUTjUqqZJgxmdTsxWzotjyHxx9muCX95jqKr6opcar76CghJCRYUV/JGhQqRK2m7/yqmmQ4SHdhOgmI3gucQjv0f0rRvLk82PcAaRzZWvcDyacPJjGtfc09TegClLoGoATcSNeBGVE89gMu1ldbrsiAYsn5oK/0A55cfobNciD51YnvFN4ovDzQwY3kob/uxASouMrhkrU98fDxC+KaoUiEGJe5ZWcLS8HW+YTippiPffAwGQ+g6tbf5BI2G2NhYWlpaIk7coFJZMJsfxzxQi8FbiKdmLZ66jXhs6/DY1oGgQm8axXZrNr/JKQDgif4CIw0hY+BNmzbx5ptvAnD33Xczc+bM036jPou+j+MdyvF6vWzevFmOIczOziYtLQ1RFGlpaZHJpEajYejQobhcLpk0+Xw+WSOn1WqxWCxYrVaio6NP+We2pqaG4uJiJEk6LebqXZHLSNIUSS51Op1suWO1Whk6dGif/I5LkkRxcbFctR4yZAhpaWkn9Dsjr5Pf76e+vl6eqg8Gg/J1UygUxMfHyxGQ6mNYtIXzuZ1OJwqFArvdzqOPPookSVxyySV8/PHHx/wdZzrOeEJ5mPYnHNfk88FRDFKbmprYunWrbLRbrE/n2a8PEZTgwewYJirrEQSIiYlh5MiRqNVq4uLiGDBgAE6nE5vNRm1tLU6nE6fTyYFSJ4dcSqasNuItTKDxjQcQ67/qOGyz/Q/oks7DkFaAPnkCCk03DKXD5XtRRKE2Ysy4iiXOMTxeX4IIPJa0mfv1SxBEkWhxJzTFccX5M1iviCHdpGHZtBEMjD3+do0UJpTdJHVhcqlub2dsje3PG4fUiMDtlgDXxAbxYaVZcyX6lN9gjnIjtWzkkR+0rHFkYla28k7c/2D8HppTJ2JInYRWbD/NHufJUOlVElusRfvkS6hSPoDd61DH5SJJRbhrvsJd8xUo1HyvuZ57912EKAk80F/NeKMTQRAYPnw4iYntVeb2m62kUPDo2r18uqdergAP6O51btfYKrRaxowZg9frlTfFjpUJUCrjSEy8H3O/p4gKFOO1fYWn9ls2VDRx99gHEQUFD2TARUYvKpWK8vJyfve73wEwdepU3n777V/0ifosuofIfbQnQzmdOzxhXVw4HKCoqIhgMOSBGzatTkhIID09XW5j2mw2WltbQ7KZigoqKirQ6/UyuYyKijrpZKmyslK2honc808XjkUuw2RSEAQEQaChoeGkaAlPBJIksXv3bmw2GxDSyWdkZPTqe6jValJSUkhJSSEQCHRIOwsGgzQ0NNDQ0CB7Yob1qZ0PCuGWfGtrK4IgIIoi9957L36/n7y8PD7//PM+md5zqnHGE0ro2KqRdLqQgfRRJr3r6urYvn07wWAQrVbLBkUy/+e7SgTg2dxozhNCWp+EhATy8vIO02QYjUZ5ItnhcFBbW4vNZsPfrt0Munxs2icQE3M9lmEziBX246/9KtSurv0WT+23oHgNXVJYDzm+oz4uAlIn26B3dtbwyJq9SMATQ4xcqh7OPulV0qMqiZV2Mqc0mvXmAQzwNfDvuL8Ts3cErtTJ6K0XyVPPPUJ4I+/p5KcgsDDlHB5oS0QEHhioZbLBJz8siiKHDh2iTII/VeXynR2SdAKfjq4ntTUav30/jgMf4TjwEUpNAqZLXUQ5nCAFEYQebpoRgzhCaDyH6NwHMIweitu2HnfVataV27iv/Fx8ksAjMUu5Q1FGmz+P9GE3dYzTCgSQgGe+q+DdIhsxWiWLrx9GdkIP0h06peRotdoON4/6+nrq6upobGyUM45ra0GhMJKQcCf1A+7ngYoavEoFTzR/z6VD81EoFLS0tPDYY48hSRLjxo07e6I+ix6hpy1vu93Oli1buoxStNlslJSUyK3j/Pz8w7KZI9uY4c6GzWajra0tNMhWXk55eTkGgwGr1YrFYunRlHV3UVFRwZ49IYlLXFwcI0aM6FNJPZHkcu/evRw8eFB+TJKko7bFTxckSWLPnj1UVVUByIM2JxMqlQpru/NGOEo3nHYWGaW7e/du4uLi5MqlVqtl165dckterVZz22234XQ6GThwIEuXLj2hTO4zCX3nW3ES0aFV0653EbxeuqqpVVZWym0NvcHAIncCs3dWo1YIvJwbxVAp5JvWHU2KIAiYTCZMJhODBg3C3v6BVLZvyOEMU1ATG/srrHn3Ei2V4LetxV37jdzCFBRadNaLMaRNRme9tONkb5jMBgL8dWslz6w/gAA8l2PkXGVIr5TWL5vBWdcgCALPeVfC/PXcpSsmmFWHq3I5rsrl7VPP4zCkFaBLuqD71jRH0FAeCwulGG4dcxMBBB7K1DNRF5rsy8zMxGq1UldXR1WNjd8Vu/jeDnEqiZfSfTjdg2lJ+7+Yozyo2r4PDT7Z99EyElrYi2L55RhSLkefNgltwkgEoRsC7PDaOyXlKDTRGDOupkh1CQ9uKcQrBbk7oZD7jatRigGixBICmz+j/uDYUFs8ZQKIIi/lXMZb26sxqhUsnDqMEUk9G3SSTeq7aKdpNBpSU1NJTU3F7/fLm2L4xL2jsp7nStW0iQoKEiSGpw7EbrdjMpm477778Pv9jBgxgoULF/bqIMFZnPnoCaHs3OEZOXIkJpOJYDDIoUOH5FSR7lb7ImUz4UG22tpaHA4HLpeL0tJSSktLiYqKkiuXvVExKisrk9d6pAJCX8GBAwdkMhm2KwtX5Lpqi58ucilJEvv37+fQoUMAZGRkMGjQoFP2/tAxSjcYDMpRunV1dQQCAZqbm2lubqakpASNRkNbWxutra0MGjSIO+64g8bGRiwWC8uXLyc1NfWUrr0v4xdBKDu0asIC6i4qlGVlZfJJ1GiK5l9NUczbU4tBpeD3uToGiiFCmJ6ezpAhQ3rUZhEEgZiEBADUwJgxY+S2uM/no6WlhZaWFkBPfPztJI18kGhxFz7bGjy134Wsb6rXhCZ7ky/FkFqA3nqRXMX67mAjzzSGLGxeyDGQr+gY+xheq1ofzf/ZtYbAhAm4r3gbd9UaXFUr26ee26eHVVHoUyaECOyRzMB/+sNC/9sDQvn5vnpul/ojKgSeVddxni4W6GgNlJKWzvOFDr63e0jQKvjTOWpi/P6ffMcArfYcktLGYfFWofvgWey5Aj7qcZTOxVE6F4U2MTSkkjoJbWL+kcnlUbK8t9W2MXXRTpz+IDela7kqOpv9zGSIpRW9Zyse2wY8dd/hqfuO5m0zWZxxBb/PHodWKTD/mqGcl9J9CyYZ3czxVqvVJCcnk5ycjCiKFFfU8MCKMlrFIBdEB/mNNcDHHy5h0aJFcq5wv379TvqJev78+fzzn/9EFEXsdjsZGRm88cYbsofoWfw80V1CGdnhiYxSFEVRrirC8RO0yEG2yA6Qy+WS4/oOHDiAyWSSK5c9PTxJksSBAwdkr8ykpCSGDRvWp1rGkeg8gBPWTIYPn+HORl8gl2VlZfJnIC0tjaysrNOq71QoFJjNZsxmMzk5OTQ3N1NbW0t9fT0+nw+fz8emTZuYNWsW6enpVFVVERUVxdKlS8nKyjr2G3QTx9o3JUli5syZfP7556hUKrKysnjrrbc6pDKdbpzxhLKzhlIKt1UiCGVno11jbDyzKtWsLG8gTqviD9kqUsQWAHkjO64vgCCEbIv8fjlmasiQIfIHuLa2Fr/fL084CoKJ+Pi7sYx6hCj/Trw1q/HW/4i7cgXuyhUIKiPmqiFogI0VDaiHCrySoyNXCK010ghcRoTmUqmNJ2rgTUQNvAnR04Crag3uqhXtfo1f4Kr4AkFtwpByGfq0gq5jDLsxlBOJRXvruWPZLkQEZu1czoScBCoY0YFM+sUgM5aX8Pn+BpIMapZPyyM7wXiY71iYXDY2NzPxRz366jQa33gWVdtG3FWr8bfuwVE6D0fpPBTahHZyOfkwctnB2DwihrGoIWQGb/eJTE3Vckt0G4IAmYOHkt6/PzC93cLpW9xVq/jnHh+v5RagCop8cHXOUc3hj4rjyPG2+4PcvcFGjSfI2AQ1T1hC+dyFhYUEg0EqKkKG6xUVFfzqV79i6dKlREd3Q6N7HLj11lv58ssvmTRpEsFgkBkzZlBQUEBhYeFhbc2z+HkgMsL2aBrKyA5PZJSiKIrs3buX6upqACwWC0OHDj1h8hIVFUVUVJRMLsPTvB6PR/a33LdvHzExMVitVpKSko75GQzfD8Lfmb48IQ0dyWRycjK5ubmH3Z8iOxunk1yWl5fLBuvJyclkZ2f3qWEhhUJBQkICCQkJHDp0iJKSEiC0jwJyVdXhcHDXXXcxd+5ccnNze+W9j7Vv/vnPf2b+/Pn8+OOPGAwGZsyYwe23387ixYt75f17A2c8oYROJ+twhTKsZwwGKS4ulrUcxoQkXtobZGNNM8lGNb/PhAQx5D+ZnZ1Nenr6iS1GpUJwu0MVvXbBdHx8PPHx8TK5tNlscuk9rOsQhDgSEx8kKeMJjL7teKtX423YjM9eDBi4I+o/jBrYhCDm4lJmkjUk56cM8Y4Xg/aL0fE/6xJ/stRx1+GqXo2rciW+xm1y0oxCE4s+5TIMaZPRJo4JxQH2oEK5cG89dy7bhSjBy669PLX/O7blXN2BTAaCEjOWl7BwXz1mg5pl7WQSOvqORZJLf7vZvM/vZ+uuWjSabCypl2LO9rW3xVfjby3BUfoJjtJPUGgT0KdcjiFtEtrEUR01lO3/f69H4qrPCmnyBLgiRcftsXYEIXSgiEzuCFk4Xc6i1qG81rAHQQryfuHnXPnUhG5+ILpANyuUYbj8ItM+L2JXo5PcWDVPJDlRKyA2NhaVSsXAgQNpaGiQdZSNjY0njUxCyD5j0qRJQGiDfvjhh3nvvffYunXrLyrX9kxDh4N5F/6QkR2emJgY8vLyUKlUBAIBdu/e3cF/sqcdnmMhUl6UmZmJ3W6XO0Ber1eWF+3Zs0fWx1kslsOGLyRJoqSkRDZeT0lJ4ZxzzulTpCcS3SGTndFZNtM5W/xkkctDhw6xb98+IHSg6MvXtba2ViaTsbGxSJJEeno6TqcTpVJJfX09e/fu7dUhoqPtm+eeey5//OMfefXVV2Upx9NPP01ubi5FRUV9Jir3l0co20+ngtdLoJPRrj4plcd3OCludDEoRssr/QOYRDeCIDB06FCsVuuJL0ajAbc7VIXqVIGKPB3l5OTQ2Ngom16Lokh9fT319aBQJBGf+Bj/bm7mHOEzpqcVo4h10s//Dfi/AVU0xqYCPIaCw1u94Tzzo1QZlPok2Qw84LLhrlqFq2olvqaIjGxtPPqUy4luHYQOjlmh/GxPHXct340owaOD9dy2LnTjSTKbiYsgk3cv383CfaHJ6GU35JFzhGGWSHLpa5cSKNsJmGw1Amg0Q7CkXoI52x9BLnfjLPsEZ9knKLTxmIYqMHn8CIIEokipIY4pO1zUeyUmWnXcHWdHIYQyhbtq236+r577V4X+nn9uW8zNLWW4j3o1joEwoexGhdIvBpn+5S6+r7EzwKTmGasTvTI0PPD000+ze/dudDodS5cu5eKLL+abb77B6XSeyOqOiQULFnT4OVwR8vl8XT39LH4miGxNB4NB+efwgEW4jZmYmMjQoUNRKpX4fD6Kiopk/8kT6vB0E4IgEBMTQ0xMDFlZWbS0tMgdIJ/PJ+vjwuQyXLlUKpXs2rWLmpoa4OQQ397E8ZDJzlCr1aeEXFZXV8sELfz56KsV38h87ujoaP72t7+xevVqAGbPns1vfvMbtm/fTnFx8VFz23uKo+2bhYWF1NfXM2bMGPnxnJwcjEYja9asOUsoTyW6GsoR2+0swhudJrkf9/3QTLndQ16igWdTXOhFHwqFgry8vJ9sYU4QklodmjL3+49KGCJ1HeGJNFnXIQZ5bksjG1qVGONugF9fT7a6nujADpJUJeDci7NsPs6y+SEdYdokDGkFaOLzjlihPBJUButPMYaualyVq3BXrQzFAZbNJ1ipIhoT/tZ9eBo2o03IP2zK+tM9dcwIk8lMHRO0rXJlMzExNOUdCErcvWI3n+4Nkcnl0/I4J7F7k9Ha9iqDISqKiy++WL55hOO4fiKXWVhSL8acE0Bl/x53dXuSUX9o7Q+KLbeAsx+TLrqLaq/EpRYd98bbUQqhm0tmZuZhG/bKskbuXBbypZx1YQYzFm1Fio/v1rqPBKGbFcqgJHHfqj2sKm/CalDxfLKTaFWITM6cOZNNmzahVCr56KOPGD9+PIIgMH78+BNa2/Fg48aNpKSkcOGFF57y9z6L3kMkoRRFEaVSSTAYpKioSG5lR7YxPR4PO3fulBPGhgwZ0uu2MMeCIAjExcURFxd3WAcoUl60e/du1Gq1fOjp379/l9/3voLeIJOd0VNyGY41PJYG1mazUVxcDEB8fDzDhw/vs2QyMp87KiqKTz/9lPnz5wMwc+ZM7r33XgRBID8/n/z8/JO6lsh9M5wRHlnUEgQBi8Uifw76As54QtnZP01qJ5Rlu3fTnJMTelLyQO78tpY6l5+Lko08ZnagDvpRqVSMHDmS2NjY3ltQmCT4fNDNKcTIiTSn18f0L3ayodVBtFLilf4BBmolAsTRopuAzvprzNEiWucPoQno1hIcBz7GceBjlHorRt0oYi0B1GKg50s3pBCddSfRWXcScB7CVbmKYOsSoAnRWU3913eh0JlDKT5pBWjih/PZ3gaZTD42WMd4bejmEnlNA0GJe1aUyJ6Ny3pAJoGfqqOCgE6n6xDHdWRyORhLykWYs0X0/3wCh7mOQwlBZqRPpVwXx0WKfbxq3IQvOJzY1Iu7rFR8faiFXy/ZhT8o8cqF/XkgJ0QkpROdAg1PeR/lwCFJEr9dd4BPSuqI0yp5MdWNWRNqNf71r39lzZo1ALz99ttcd911p+3G6PV6eeONN/jf//3fsxZFP3N0JpTh7OVwZGJGRgaDBw9GkiTcbjc7duyQ/Sdzc3N7nH7S24iUF2VnZ9PU1CSTS1EUZTIpCII8SW42m/vcVPfJIJOd0Vvksq6ujqKiIiC0548YMaLPXc8wOudzf/311/ztb38D4NFHH+X5558/Zfto533T5XIBHJbKpNVq5cf6As54QgkdW95+pRIV4G9rQxAE3JZB3Lu+CrtPZEqGid/EtKAIimi1WvLz83vf16y9mib4/V3aFh0NLr/Ir5eWsKbSgcWgZuZAkST88uPBYFBOU1GrB5OUfCFJQ3yo277HVbWSgH0/dvdS7LeAyv0N+qK/YEgrQB3T87aOyphO9JC7UfjGwjsPoTb2Qx0TCA3CtPtDLvdP4Knq6wgi8FjmT2Ry8ODBRLdrrUQJfrOyhAV76kjUq1k6bTi5PSGTcET9ZnfJ5eVbDUgOK/f86jn26+ACVwWzrbNRiV5wf4ei/BOafRNCJurmsQgKFZtq7Ny4uAiPGOSpMen819h+0NLSfnFO8GvVXqE82lDOf/9YwdvbqzCoFLyY4SNNGzpRz58/X26d/P73v+eee+45rVWW++67j2nTpnHDDTectjWcRe8g0nvR6/VSWFgod3gyMzPp168fkiThdDrZvn07Xq+31zs8vYVwBF9cXBwej0f+OwRBQJKkdnlRvdwpslqt3arGnUxIkiTbI8HJI5Od0V1yqVQqZWPwhIQEOQVJkiSio6MZOXJknyWTnfO5d+3axWuvvQbALbfcwptvvnlKq6qd982wbtLbPvsRhtfr7VOG6r8oQhkMBjlUV0cWoBZFGhIzeeg/h/CIQW4eFMNN+gYUkoRer2fUqFEnx6cvTBL8/qM/rxPafAGmfV7EN1WtpEVpeG1AgHjJI2dIm0ymDl90v99PVVUVVVWg0eRgSRuHOcqFqvQL3PsW4Y/z0Lb3X7Tt/ReqqP4Y0iZjSJuCOrqHfmDtm5nKkIr1sjfxt5XiqlzFJ8XlPFU9mSACz8ct4JZAIXZPHrEDr5GHhUQE7rZpme+oI0Gn4ssbhjM08QQI/FG+8Ecjl81KDVdfeDN7HTDEIPFIjpWDwtNYNfuJlYrwtxT/pB3VxFIWfQ03FY7F4Yf7R6Tw6oXthrzhyuJJrlD+c0c1r31Xjloh8Hw/kUHa0Il6/fr1vP322wA89thjPPfcc6eVTD777LOoVCr+8Ic/nLY1nEXvIZIMFBYWypWRnJwcUlNTCQaD2O12duzYgd9/kjo8vYhAIMC2bdva7dpCQ5cpKSk0NDRgs9lkb9fwXhEmTKfLu/F0kMnO6Ewu6+vrsdlsNDU1IYqiTC4VCoXsBhA2ru9LZvCR6JzPXVtby9NPPw3ApEmTeOedd07p2rvaN8PafZvNJkdTSpJEbW1tn7Jj65v/wr2MyI3Q174JtCqiuHfdQUQJ7suOoUBZjwCYTCZGjhx5WGm5tyAdB6Fs9viZumgnm21tDIjW8ko/LzGSD6VSyciRI2VPwXBagtfrlSPLWlpaOlTjEltyueC9tTjGZtB2x+hQ5dJRjr3k79hL/o46OhN9WkGochnVxZR4Z3Sa8labBrJCuI6nKksIAr9N3cOvNLtRB5tJ8K+DPeuoOZSKuTGVh0ddzzyHJkQmp+UxzHycZDKi5d0dRJLLeruTG75rZHt0MgM1Ir/rJ6JXgp8EahXJYJlG4hARjfNH3FWrKamr5dYDObQG4XrTFp4zrcVTOwld0rkoInK8TwRH01B+tqeOx7/ahwD8V38Yqg+dqIuLi5k5cyYA06dPZ9asWadVp/T6669TXl7Oxx9/jCAIbNmyBYBRo0adtjWdxYkh8vPkcrlQKBQMGzYspIMWRZqbm9m5c6ecy52fn9+rQwu9iTCJCOs7c3NzSUlJAZDlRYFAQCZM4VSqyFZvUlISVquVuLi4k/pd6ytksjMiYw0jM7MbGxs7WEt5PB5KSkpkIt6XqpSd87k9Hg8PPPAAoihy7rnnsmDBgpPGBbrCkfbNESNGYDab2bx5M6NHjwagpKQEp9PJ5ZdffsrWdyz8IghluJ0BoNCFCN23ZbWIQ+GZobGcT2jKOy4ujry8vJOr9eohoaxz+bhmYSE7650MidPxuzQPUZIPlUpFfn5+l6amWq2W9PR0OQ83shrn8fsREAhUihS1jsEy8EoSDc3Q9DXuqpX47fvx7/or9l1/RR2T0165LEBlPEIaQCdCOW93Lb9ZWUJQgiez9FygGUCZ9AyD0zXEBQtxVa4k4KzgEWECH2aMIE5yMW/kIbI1iUjScRrc9jClJwyXX+TWFfv4MTqZc+x1vJCnx6jUolQqZU3VT5rLgQSin+e+Pc00BYNcEXuAmdHv4q6QcFcsQqGORh97HrH9/ehVJ7jRH2HKe+3BJu5eUYIEPNpfwViDB5VKRU1NjXyiLigo4F//+tdprQbMnj2bDz74gH/84x9s3boVgC+//JL+/fufJZQ/Y4TJF4TIZbj6GAwGqa+v/ylh7GR2eHoBPp+PLVu24HA45Hxxi8Vy2PNUKpUcHNC5GhcIBNrlRdWo1Wo5nSc2NrZXiV5ng/W+QiY7I0wuTSYTzc3NiKKIQqFAkiREUZT9QZVKZYdp8dNJLjvncyuVSu6++248Hg85OTksWbLkpNqrdcax9s1nn32Wt956i9tvvx2DwcCbb77J1Vdf3WcmvOEXQCgbGhrYtWuX/HOdwsE5wK36DZyT6UQVOAeXchDmJAvDhg07+R/wdpLQHQ1ltcPLVZ8VsqfJxbAEPc8mOzFKgR6d/iOrcW63m6bt20PvHwyG8nAPHqQcMBovxDJ4KgnaOqTG9biqVuFv3U1r625ai/+CJm54KFc8dRIqQ4R9UoSx+dzdtdzbTiafytJzsSYUpzg4K6vdu3Ec0ec8gr91D9fs/pg1bjvvi3NIry6ntvr/oTINwJA6GUPaZNTRmT26rB3W0g14AkF+9UUx31S1MtjVzJpv3mHrqAcxxsSQn59PIBCQJQQtLS3YnD6e29lArV9gTDT8bux5RMV9gsbxI+7qVSFLpfpVOKeCwrcD3eYXMaRNOnbSUFcIaygjSOFmm51blhTjD0rMyFAxISpUIXK73Tz44IMEg0HOO+885s+ff0pP1J3R1tbGQw89RDAYPMxz8p133jlNqzqLE4Xb7eaHH36Qfx40aJBMJmtqamRLmKioKPLz80/rZ/Bo8Hg8bNmyRR4WysvLw2w2H/N1kdU4n88nd4Cam5vx+/1UVlZSWVmJVquVK5wxMTEnRPx+LmQyDIfDwZYtWxBFEZ1Ox+jRo1GpVB0ql32FXEqSRHFxsZzPbTQaufXWW7Hb7aSnp7Ns2bJufS56C93ZN5944gkcDgcXXngharWawYMH8/7775+yNXYHZzyhjI+Px2w2y5OI1n7J1KWqIc7FQP968K8nqIzDxBUEWpUo4oae3C9sNyuUB1s9XPnZDspaPYxOMvBfFgdaKYBWq2XUqFEYjT0cXCHk3ZjWrl+MMhgYNGgQNpsNp9OJ0+mktMxJKRAVNR5rzk3Eq6sRG9bhrlqDr7kQX3MhLTvfQJOQH6pcpk6Sr9VHhrSuyeTgwR2MwAVBQBOb7NrbVwAAIABJREFUzbWxFq5c8Gek+26iZbAr1HpvK8NeMht7yWxU0ZnytLjaNODof1gPW94+McitXxbzVUUzaUY1S9d/TLLXgbFdOK5SqVCpVGRkZJCRkUFlcxtXfLaTWr+fYcYgT6cFqK2uorYaNJr+JFlexJwloK1YgWfzu3hSRFwVi3FVLEZQm9Anj8eQOhmdpZvkspOGsqTRyXXt8Y/TUtVcbXJ2OFF7vV75RH26W4wmk6lbWc9n8fNC2Pe1tLQUSZJQq9WIosihQ4fk5JPwFG9fneZ3u91s2bIFt9sta88T2j1sewKNRtNBXhTuALW0tOD1eqmoqKCiogKdTidXLk0mU4/uKz83MulyudiyZYs81JKfny9XqI/UFj9d5DKchGSz2YBQZ/Kuu+7CZrORkJDA0qVLO9yzTgW6s28KgsBLL73ESy+9dIpW1XOc8YTS4/GQm5vLunXrANgXl41070sofbVEB7aTKBSh8JThLP0IZ+lHqIzpGNIKMKRf2fMBlW6gOxrKfc0urvy0kCqHlwusRh5LaEUrhXJxR40adWJTXe1fVIUkdcjDDadKhPNw9zscAERHT8aSO504ZQVi/X9wVa/B17gVX+NWWna8jsk/lE/T87jTPAZJgqez9Fx0BDLZAYKAPhjAZ0gmdti1xAx9Al/zTlyVK3GHJ9Lt+7Hv/hvqmKxQdnnaZNRRXfjY9aDlHTJPL2F5Wci78eV0DxmeUCtvRH7+YTfDFk+Am5bt5UCbn7HJJhZcOQRXc6N8A/H5fO3VCUhotHLR/GicIwbS9shluKtX42vc1iHGMkQu2yuXSk1XS+ygoTxk93DNwp00eQJMtmr4dawDQQidqKdPny6fqJcvX97nJmnP4syB1+ulX79+1NTU4HK52LVrF6WlpXjaI2wTExMZPnx4n9LHRcLpdLJlyxa8Xu9h2vMTgVarlQ+eYXmRzWbDbrfj8Xg4ePAgBw8eRK/XY7VasVqtx3QO+bmRyTBR9/l8qNXqIxY8jqa5PJXksry8XI7VjI+P55FHHqG0tBSj0cjixYsZNmxYr77fLwlnPKF88cUXWbRoEU8++SQZGRkhsXDQR0ARR4vuMnTW6SRF+1C3fYe7ckVoQGXPP7Dv+UeIyKRNwZA25cgawp7iGISyqMHB1Z8VUufyMz4ligfjW1ATxGAwMGrUqBPPQg63hSNOQ1FRUWRmZjJo0CDa2trkTdHj8WC322XtVEzMVViH3UGsohx/3Vrc1V8xt8bAf426HkkQeNHyNZcJCtqkoQzKyuvRKU8QBLTxw9HGDyd22FP4mgrbyeUq/K17aW3dS+uu/43QdU5CZWyPwQwTymO0vIOSxP2r9oSSeHQqXs7wYVaJKNpfr+l0bZ1+kRs+38mOOgfDzVEsnDqMOJ0aTEb5BhLZFhfbLR1czSLbqjNISnoOc5YCjXMT7qquyOW4dnJ5QUdy2f7ZqFfpuGZh6GBxoVnDbxIcKITQifrOO++ktraWxMREli1b1nXM5lmcRS/h448/5plnnuGhhx5ixIgRADKZhND3t6GhgcTExD5HKsOtWJ/v6NrzE0WkvMjlcsn7qMPhwO12U1ZWRllZGUajEavVisViOYx4dSaTfT36MSwh8Hg88rXtjtXe6SKXlZWV7N+/HwiRyRdeeIEdO3agVquZP3/+2WjYE8QZTSiDwSCffPIJ1dXVPProoyQlJZGVlcW4ceMYPXp0B99GjWYo1ozLMBtbEZq/xl254iciU/w/aOJHYEifgiF1Mkpdz9skMiI0lJ2x1dbGtYtC+dEF6SbuiW5ChdSruiTZdLuL8rogCERHRxMdHX3UPFyAuLjr+S72Zp4/0IQkCLzRtIir+60FD1gFFfrqC3EqJqNPHo9C3cUGc5QNUhAUaBNGoE0YQezw/woRscqVXeg6h6JPnUyUO/OYv1OSJB5bu4+5u2uJ0yp5tb+fZFUAnU6HMvy6CELqCQS5aXER39fYGRJvYPH17WQyAjqdrkN1wv7dd/I1jqxcajTpJCU9izlLida5CXfVKryN23BVLMFVsQRBFfUTubRcAIEAbSoN17hT2etwMyJOw6NmByohtAk+9NBDlJWVERUVxRdffNGnRNlncWZi/vz51NfX88orr5CQkEB6ejqXXnopl156KQqFQvZtDFvrWK1W4uPjT3siit1ul/0Fw9WzUyELMRgMDBgwgAEDBuB0OuV9NCwvOnDgAAcOHMBkMsltcZ1O97Mikz6fj61bt+J2u+Wq7/EMsZwqcllbW8vu3buB0KH8jTfeYMOGDQiCwL///W+mTJnSZ6/1zwXKV155pbd/Z6//wuOFIAhcddVVSJLE9u3baWtro6qqipqaGt577z0MBgOpqamyHqjVbqemwUtzcADajF8Rm3Epaq0R0VVFwHEQT+03tO3/AF/jNpCCqIxpR2xbHgnKjRtR7NuHePHFSBH+Ud9VtXLNokJavSJT+5m4y9SISghpK0aNGtV7InefD/XcuUhGI4Ebbzzi04T21JnExEQyMjLkm4PH40EURZbW+Pi/e7xICDySAWMGp+FVpGKKMiD4bATaSnFXr6Vt/wf4W0JfYqUhRdYQKjdvRllUhHj++QSzs4+6DpUhBb31YkyDbwsZiyu1iO4aAo6DeOs24t+9gtgiLYFYAd9lFx9GYCVJ4rfrDzBnRzUmtZLXBoqkq/xotVpGjx6NYd48hEAA/4wZQCgf+9alu1h9sJn+0TpW3JiH1Xj0669SqTDZ7aiWL0edmYnyyisRRVG+Xna7HVtdK3WuOBRJk4kZfDNR8YOQRDcBRwV++15clctpO/AR7G3iJvM1fGswMzhazfMpTgxKSEhI4Pnnn2fz5s2o1WoWLlzIuHHjfqmb4KunewEnGa+c7gVE4vLLLycuLo5NmzaFhtTaK29z5szB7/eTnp6OTqdDkiRZQlNZWSlXrrRa7Sn/nLa0tLB161YCgYD8Xe/1oIpuQKPREB8fT1paGklJSajVarxeL4FAAJ/PR1NTExUVFVRVVdHQ0AD0fTIZtl1yOBzyxH9vSAiUSiUmk4nk5GTS09MxGo1y8lIwGMThcFBbW0tFRYU8pa/T6Y55cGlqamLHjh1AKE3s3XfflSMV//SnP8mRir9A9Oo+ekZXKCGUH7tv3z78fj8Gg4GCggK+//57HA4Hs2fPZvbs2SQlJXH77bdz7rnnolarQ+2J8oOUAVFRE7Hm3Ey86iCB9javp+47PHXfwbbX0FsvwZA+BZ31EhTKY7ejZQ1l4Kfow68ONvOrL4pwBYLcPDA6ZLAuhD74I0eO7F2Re8RUdnfROQ939o+l/LWoCgl4ICXAZdFBJLS0qUfQGHc5lqxoTIFiPNWr8dR+g7t6Le7qtQhKPbrkSzGkFmCi59GPgqBEZx6DzjwGKe85vA2bcVWuINi4FgC/s4KaFRPRJIwMtcVTJqLQmXn52zL+tq0Ko0rBKwNF+ql+0voYDAYIBuXKrdgeA7mstJFko4al04aTEtVNMt9e9VVoNB0ql5Ft8Y6Vy1SSkp7BPFiFxrkJT/VqXPVbuYcxrE0aRIbk4LlkDVHKUGXy9ddf55tvvkEQBN555x0KCgp+qZvgWZxiWK1WWltbaWtPGLvyyivZv38/Pp+P+fPnM3/+fIxGI7fccgsTJkzAYDDg9/tDtluHDqHT6WQN4amoEDY1NbF9+3Z54viEtee9AEEQMJlMmEwmWV4Urlx6PJ4OKSgul4vKykqSkpL63MR82BA+/FnIy8sjPj6+19+nJ5XLxMTEI6YZdc7nXrZsGe+++y4Azz33HI8//vjZfbSXIEjH6eF3FPT6LzxRVFdXc9111/HWW28xatQoRFFk3bp1zJ07l0WLFnXwqRwwYAB33HFHlwH2sbGxWM2xxLAHX80q3LYNIIWIkaAyok+5DEP6FejM5yIouubq6v/3/1AvWID3t79FvOoqlh1o4Nalu/CKEndkRjNV24DQ3trMy8vrfT9BlwtDQQHBhAQ8ixb1+OXvFdXw0Oq9SMAzQ/Scrw61wCOTEcI/JyYmYkk0YvTuCJHL+u9BCpEuIajGtEdAn3Mj6qlP9dxaJwLCzh3oH3oET1YcFdfWI/nbwo8wx38Xf6rOR6cUeDVTYIg6VDEZPXq0fGPTX3YZSBLOtWt5eM1e3iuykahXs/LGPLITuj9Nr/jxR3RPP03gkkvw/f73hz3emVxGQq1Wk5SUxJ/3O/n4gAtzwMkc3U6E7HxiY2N55513eO+99wD4y1/+wqOPPvpL3wTP9D++z+2jbreba6+9lnvvvZdp06bJptBz585l/vz5VFZWys9NSEjg9ttv5/zzz0ej6djFMRqNJCcnY7FYTgrJa2hoYMeOHQSDvag9P0mQJIn9+/dTXl4OHL6PQuheYLFYSEpKOuxanmqIosjWrVtpaWlBEASGDx9OUlLSKV1DZ3IZyWHC5NJisZCYmIjH42HTpk34/X70ej1bt27lueeeA+Duu+9mzpw5p12WcZrRq/voL4JQQuiL2/kGLEkSHo+H5cuXM2/ePJYuXdohaH348OHcdtttDB48uMPrBEEIfckTjZj8hXiqV+Kt/5Hwn67QxmNInYgh/Uo08XkIwk8fWPXs2ag//hjf44/zSe5FzFhRQiAocf+QaCarQmTypE5Mer0YJk5Eio3F/cUXPXrpe0U1PLh6LwDPZus5TxUik1lZWaSlpdHY2IjNZqO+vr7Dpih/yRP0GLzbQhrCuh9BCF0vQW3CkHIZ+rQCdOaxPSaXiqIidA8+iDh6NJ5Zr+Op24irciVv7fLzeuOVqAnwVtIcRkX5cWhGMmj0bcSZ+8uv148fj6RU8siLs/nbtipitEqWTctjRFLPKimKjRvRPfMMgQkT8B1DStIVufyoVsmCeiUGhcQfBgbQNVczcOBAVq1axZtvvgnACy+8wMyZM3/pZBLOEsrTgiPto6IosmHDBubOncvChQtlfz+AjIwM7rjjDkaOHHnYzTsmJkYeUOmNSlxtbS07d+5EkiSMRmPvyoV6GV0N4OTk5NDS0iJbEfkjtPbh+47VasVsNp9ye6ZgMMj27dvlf9thw4ZhtVqP8aqTi6ORy/BnzWazkZiYSF1dHQ888ACSJDF16lTmz5/fZy2uTiHOEsqTAUmSsNvtfP7558ybN481a9YQaG9LC4LAxRdfzE033UR6evphH1qz2YwlXo3evRl35Qp8zYXy40p9Mob0AgxpV6COGYLmnXdQv/su/7rrae5tjSEoweM50YxThrQzSUlJDBs27OSdmgIBDBMmIEVH4/7yy26/7N2dNTy0Zi8CITJ5bgSZ7DxhLIriYXm4YahUKsxmM5lrFyPsW0zrhCS8HJQfV2hi0adcjiGtAK15NIJwbFKt2LkT3UMPIY4di3fWLADm7Kjiia/2oxQkXk9ZzxTVEpS0t5QEJVrzWAypk9GnXEbUpGv53dBJ/CHzIoxqBUuuH865KT2fAlVu2ID2hRcITJyI73e/6/brvF4v//3NXv5Y2IRakHi5f4Bz9CL33HOPrP+qr68/ZSdqn8/Hyy+/zBtvvMH+/ftPuSdbN3GWUPZBSJKE1+tl5cqVzJs3jyVLluB0OuXHc3Nzue2228juQjcdJkthnWFPUVNTI6f1mEwm8vPzT3tF70jozjR3MBikubkZm81GXV2dfD+C0D0pXIkzm80nPRkrGAxSWFgo+zmfc845pKb2kvNJL8Hv98v3nUhy+corr1BSUkJCQgJVVVVcfPHFrFy5steTnI61b/7973/n73//O3q9ntjYWObMmdMXruFZQnmyEQ5d//TTT/nkk0/45ptv5MdUKhVTpkzh2muvxWw2dyCX4XzXpBgRjWMjrkPLCbQd+Olx00CSCtP5oFDHQyOuBuCZc0ycrwid+JKTkznnnHNOLmEIBjGMG4dkNOJevrxbL3lnZw0Pt5PJ57L1jD0KmeyMznm44euVs3YtWd99x8Gbb4ap40PTz5UrO5BxhTYxVOlNK0CTMKJDpTcSisJCdA8/jHjuuXjfeIMPim3cv2oPCgGez1QxWutCKYjkpntQtX6Hu2Ydkuhuf7WKz5dewbNDJ6FVCiycOoxxGccnLleuW4f2pZcITJmCr72t0h18vCsUV6kQ4MWBkK/3UV5ezhNPPNHh82U2m3n00Ud58cUXj2t93UF5eTm33HILWVlZvP/++5SVlZ0llKcHZ8Q+2tbWxhdffMG8efNYtWqVXHETBIHzzjuPW265hX79+h12SA9r4rprQ1RZWSlP8J4U7Xkv4nisgYLBII2NIf/burq6DibYclGjvc3b250tSZLYuXMntbW1AGRnZ5Oent6r79GbEEWRzZs3y16gd955ZweLK6PRyLRp03jnnXd6rdNzrH1z4cKFPPjggxQWFpKUlMRrr73GokWL2LJly+luuZ8llKcSkiRRXl7O3Llz+eSTTygs/InwaLVabrzxRiZNmnSYXYJGo8FqsWCOcqJo2YCrcjmiq5r5xZfzUtRUFFKQlwaUM9pgIqCIITU1lZycnFPSytSPGwdaLe6VK4/53H8XVvPI2n3HRSY7w+/3y21ey4IFDP72WwoLCigbMwaNRhM6bUcHUbdtxFW1Up4OB1DqLejbk3M0ccM6XCfFjh3oHnkE8dxz+fCe/2LG8t0EJXgmU835OudhEWvBgBtP7Te4Klewo3wv11Q/jSooMu/ac5iSefwtHOXatWhffZXAVVfh++1vu/WaFaWN3PRFEaIETw1UcrHBjUqlwm638/DDD5OYmEhtbS12ux1JknjxxReZOXPmca/xWCgqKkKn01FZWcn48ePPEsrThzNuH62vr5cP6Rs2bJBJpEKhYNKkSVx//fVYLJbDNHHHsiGqqKhgz549QMgOZsSIEac1y/5o6KyZPJ5p7nAHqLa2tkt5kdlslgdUTpSsSJLErl27qK6uBo4RVtEHENmWFwQBvV7PHXfcQUxMDFVVVXi9Xnw+H9dccw2LFy/utfc91r45atQoLr/8cl5//XUAWltbSUxMZNGiRVx11VW9to7jwFlCeboQDAYpKipi3rx5fPLJJ5SWlsqPmUwmbrvtNi655JLDBOB6vR6rxUKivp6Nn6/mDvf5/Mk1n0uH/YCEQNCYS8Lg6zGkTUKp6X3D3c7QT5gACgXuNWuO+rx/FVbzaDuZfD5bz5gTIJOdoXj7bXRz57L/uuso7uSjGM7DNUf7UbZ+i7tyJX77PvlxpSEVQ9okDKkFqGNzUO7Yge7RR/ls3FR+FT8KUYInM7VcogsN5wwfPhyLxdLlOoKuFubf9woGlcQ17/zPCf1NylWr0P7+9/inTsX/5JPHfP7GqlauXliIOxDkvn4qpphC+dySJPHrX/8ap9PJyJEj+eqrr3C73SxcuJCJEyeSlZV1QuvsDtatW3eWUJ5enLH7qCRJVFRUyPvotm3b5Mc0Gg3XX389U6ZMITY2tgO5VKvV8qR4OCe7rKxMNqpOSEggLy+vzxmrh9EbZLIzAoFAhzZvZ3lRUlISFovluDxBJUmipKREHrYaOHAggwb1fnpcb0GSJIqKijpEKk6fPp3KykosFgsbNmzAYrGwZMkSUlNTGTduXK+voat9s7m5mfj4eBYsWMC0adPk5+bm5jJx4kT+8pe/9Po6eoCzhLIvQBRFfvjhB+bOncuCBQvkdgCAxWLhjjvuYOzYsYedlKOiomj2+olxFxLt30pMsBgh2D4IJKjQWS7CkD4FffI4FKqTY3OhnzgRAgHc//nPEZ/zzx3VPPbVySGTAOo5c1B/+CG+xx7DceWV1NXVYbPZZOP0MMJ2I4lGF0LLBtyVKwk4yuXHVVH9iHWOYNNH1VxzwW34BQUPD9JyuT5EJnNzc0lJSTnyQsJDSnFxuE/wxKpctgztH/+I/4Yb8D/22FGfu7PeQcGCHbR4A/w6XcNNMQ75RH3zzTfT1NREZmYm69evP/r6TxLOEsrTjl/EPhqugIXJ5b59Px0cw/Gi48ePP0zvptPp0Gq18n5x0rXnJ4iTQSY742gDKmEXCavVSlxc3DHfV5Ik9u3bx8GDIX17//79yczM7LPDgOF87nCkotls5u6776akpISYmBjWrl3LqFGjTvo6uto3t2zZwujRo9mwYQMXXXSR/NzLLrsMo9HIFz0cju1l9Oo/aN/sC/wMoFQqueCCCzj//PN58803+eqrr5g7dy6LFy+mtraW//7v/wZCp7o777yTYcNCbVqHw4EacKmGEIzKIzYjhRj24bOtwlPzNR7bOjy2dQhKfSg9Jf0KdJYLT8hWp4vFI3i9ocjCLjaIf+yo5vF2MvlCjp7Ryt4lk0CH941MnHG73fKEY1gDU15eTjlgMIzEMmAyiVEOaPwaV9UKAo6DrK7Qc9d59+EXFDxoLeUKrQYfSeTk5BybjIW1SL2xUYZ/1zEqJGUtbq5duJMWb4CrkjXcGB3KTY+NjWX69Ok0NTVhtVpZvnz5aSGTZ3EWpwqCIJCbm8vMmTN55ZVX2Lx5Mx9//DELFiygpqaGOXPmMGfOHBITE7nzzjtlr2CPxyPr4lQqFSaTCY/Hc9q9JrvCqSCT0NG30efzyfKipqYm/H4/VVVVVFVVyfKiyEpvZ5SWlspkMj09vU+TSeiYz52UlMTjjz9OSUkJOp2OhQsXkp+ff9rWFnaO6ew2oNVqO7jKnAk4SyhPEIIgoNFoKCgoYPLkybjdbpYuXcq8efNYtmwZpaWlvPTSSwCcf/75cvRjXFwcHo+Hkr2lCIKK+PhbseQ/QLRYhLd6JZ6673FVLsdVuRyFOhp96kQM6VegTRzVrcnnoyLS3LwT+QlPRwvAizl6Rp0MMhmJThVyvV5P//796d+//2F5uC6Xi7LycsoAo3EM1syrKHU2cHeFA49SxZMNX/GbjIUITpD0A4h2XkPAOfmnzO+u0N4iknqhTSaEpzCP8rtsTh/XLCyk1uVjnEXLXfFtCELoRD1jxgwqKyuJjY1l6dKlZGZmnvCazuIsfi5QKpWce+65jB07llmzZslewZ9//jkNDQ3MandwGDVqFAMGDGDcuHGkpaURCATkKMPetiE6UZwqMtkZGo2GtLQ00tLS8Hq9cgcoHK4QaThvsViwWCxER0fLMoKwnCslJYUhQ4b0aTIZmc9tNpt5+eWX+fHHH1EqlXz44YeMHz/+tK4/fMiJNK4P/9w5y/3njrOEshchCAIGg4Ebb7yRadOm0dLSwsKFC/nwww9Zt24dGzdu5Pvvv2fz5s0kJiZy0003kZaWhiRJNDY20tjYiEIRjdn8IJb+T6J3b8FdtQJf41ac5Z/hLP8MpS4JfdpkjOlXoo49zo0pMs87gvz8fXsVT/5nf2jaOFtP/skmk8dAZB5uOHIrMg93ZXEZL5WpcEkqbkhWMDE7jebAxcRJxQjuMlqL/yeUwx43FH1aAf+/vTuPi7LcH///umeGgQFk31TU3NdcQNK0U5Za4lIuqOVumi3afko7mS0f236nR3X6ZWmnsrKjoB6V6rjjrpmAKypoBi6sKvsyDMxc3z/GuRPERBwYhOv5ePA4h/semIvJec/7vq/rer9dmz+EzrXSphvbmiN7TJXZ7lBeZ0NAXmk5I9ce5Y88I7199TzjW4BWsV5RP/fccyQlJalX1L169br18UjSbUhRFJycnBg8eDCDBg1i0aJFbNiwgeXLl7Nu3Tri4+OJj4/n5MmTKIrClClT1HXFeXl55OXlkZSUdMtliG6Vo5LJypydnWnRogUtWrTAaDSqcTQvLw+j0cjZs2c5e/YsBoMBg8FAdnY2YO2OVJ/bP0LF/ty+vr7861//YsuWLQB88cUXjB492uHjb3OlxbJtbadNRkYGgwcPdsSQao1MKGuJrV3h448/zrJly9Rj7du35/jx4wDs3LkTnU7HsGHDePjhh/Hz88NisVx5w4NOF0RAwKsEtFNwLvyV4gsbKctLpPD3ZRT+vgydW0tcW4Rba1x6tPmr4VRkSyKvWsB9vWSyY8eOtGzZ0j4vSlWquYbX3d0dd3d32rRpQ2FhIbtOneetvRcptsBD3mYm+ZgoVe4gz60jXi2D8XJKpzxrOyVpWzDlJGDKSSDv2EfofXriGjwE1+YPojX42zeh/Is7lCXlZsZFJ3DsYhFdvPS8FFCIXmNdbzt//nzi4uLQarX85z//acz9uSWpAtu64tGjR7Njxw61XE7btm1JTEzEbDbz6quvoigK/fv3Z/z48bRs2RIhBNnZ2WRnZ5OYmHjTZYhuVX1JJitzcXGhVatWtGrVSl1elJGRQUFBASUlJZSUWMupabVaDAYDRUVFDul/Xh3Z2dkcO3YMsJaKWr58udqfe+HChTzxxBMOf73BujmoV69exMXFqZty8vPzOXXqlLrru6GQCWUtUxSFN954g4MHD7J06VJGjx7NmTNn1DJEx48fJzo6mujoaJydnRk/fjyDBw/Gw8OD8vJy0tLSSEsDvb4dQcEL8e9sRJOzm5ILGygvOkd+4hLyE5fg5NnpSnIZjs616V+OSWi11pW4V4Lz4sOpvHwlmXyjs4FemjpIJmv4RlcUhbQyLbPjcik0Q3hTPU/4FKq/rrS0lFOnrbU/vbweIujOSXhpz1OWGUNJ2lZM2YcxZR8m9+iHOPuF4ur9N/QGi30W8195PStPn5dbBFP/d5I9qXm0cnfi1aBCXLXWK+qPP/6YmBhrL/LFixczatSoehEEJam+efbZZ1m1ahVz5szhH//4h1orODIykr1797Jnzx727NmDRqMhPDyckSNHEhAQgMViISsri6ysrGqVIbpV9TWZrOzq5UUpKSkVNkSZzWaSk5NJTk7G3d1dXUZQX9aoVu7PvX37dr788ksAnn/+eV577bV69XrPnz+f2bNn8/LLL+Pv789nn31Gt27dGDp0qKOHZldyl3cdyc7OxsfHp8IxW82syMhIVq5cqS6CBvDw8FDLEFVeC6SWIXLNQVzeQcmFTZiNWep5vW+BxW3bAAAgAElEQVQIrsHh1jJEzhWfE8Bl3Dg0GRkU/+9/fPl7Pn/fUfd3Jp2+/hqnH37ANGcO5ePGVfvn/sgt4cGVh0kvMvFgMwNPeuehVVAXo9umc0wmU4Wf8/HxIcDfF29NCqUZWyhJ24Yot26GwQKuF91xDn8FQ7OBNS7dpPv+e/TffIPpyScpnzgRsH64PLU5iR9PZBJo0PF/LUsIcBJ4eXmxYsUKlixZAsB7773HvHnzHB4ETSYTDz74ILm5uRw5coQ+ffrQokULVq1a5dBxVaH+fFrUDhlHq1BVHBVCkJycrO4Uv7pWsF6vJyIigiFDhuDp6XnDMkS3qnIyWZf1hWsqKyuLo0ePIoTA29ub9u3bq7vFK28a8fDwUNdc2rvTTHUVFRVV6M998uRJXnjhBQAmTpzId999V+d1SKsTNxcvXsxXX32Fi4sL3t7eLFmyhODg4DodZxVk2aCGyGw2s2/fPpYvX87q1au5dOmSei4oKIhp06YRFhZ2zXSNu7s7QYH++OjTMWfFUJK6BUtZvvWkosUloC+uwUMxNHsAjZN16sLlscfQpKby0Qff8MpvaWgUWNDJQM+6muYGnL75Bqfvv7+phPJCgZHBKw9zLr+U+4MMzPbNQ6dYOwx17dpVDdpCiAotyyr3w/X19SXA3xsPcRpT8s+UpG1H2Dq0KTpcAu7GNXgIhmb3o3Gqfj9vp2+/xem77zA98wzljz4KwD92neFf8Rfw0mtZeIeJYL2ZJk2asH37dhYuXAjACy+8wMcff1yvP3TqoYb+Ysk4WgMWi4Vjx46pyaWtGw1YyxBNmTKFe++9t8oyRLbk0t3dvUbvxdsxmbx06ZJ6p8/T05OQkBA1GbN1OrJNi1/dbQbs34e9OoxGI7GxsRiNRvR6PRcvXmT69OlYLBaGDBnCunXr6sVmrNuITCgbMiEEJpOJrVu3EhkZSXR0NAUFBer5du3aMXXqVLp163ZNoPLy8iIowBcvzR+Y0jdXaDGoaJxxaXovrsFD8Xn1W/5/fTAvdB+GVoEFnQ30qItp7qvcbEKZXljKQ6uOcCa3hP6BBp73zUOvuXH9OYvFQnZ2ttqy7Op+uBqNhmaKQq+Fb1Jwlzd5o9phTN+FsFzZjafRYwjsj2twOC5N77thXVCnf/8bp2XLMD33HOUREXwce4439iRj0Cq808ZCe+cyXF1dSUhI4KUrhc8nTZrE0qVL621nj3qs/n5K24eMo7fIVivYVoYoK+vPWRx/f3+1DFHl956bm5uaXFZ3ivd2TCazs7M5dOgQFouFJk2aEBoaet3NS0II8vPzycjIIDMz85ody97e3uqdy9rqn15WVkZsbCxFRUXodDpKS0uZOHEiRqORvn37snnzZpo0qf4NAAmQCWXjIYSgqKiIX375hRUrVrBx48YKU7khISFMmjSJtm3bVpjKURQFHx8fAv298DAfx5i2GWPmHhDWZOrnbeG80nYYWkWwoJMLPbTWhLWukkm46m5eNRLKi8Umwlcd4WR2MWH+Bv7un4ezBvz8/OjRo0e110HZ+uFmZGRw8eJFzGYzrjk5DP78c/ICAzn5xhsE+HngVpaAMW0Txsy9YLnSe1jrgkvQvbgGD8El6G9otC7X/H6nL7/EacUKTC++yDft+/LMllPoNApvtoU7nUvR6/VkZGQwc+ZMLBYL4eHhrF27Vl5R10z9/aS2DxlH7UQIQVlZGTExMepF+tUNFFq3bs3UqVPp0aPHNQlgde7C3Y7JZG5uLgcPHsRsNuPm5kbv3r2rnQgKIcjNza1yeZH62RMYaNfd9Wazmfj4ePLy8tBoNOj1esaNG0d+fj6dO3dm586damtd6abIhLIxspUWWrNmDZGRkezcuVNts6UoCvfffz9jx46lWbNmFZJLjUaDv78/gb6uGIwHuXQ+hvBfh5Kub8In7t/zQMApCnQ98Wr7CC06P1RnQVBNKGfPpnz8+Os+LsdYxtDVRzl6sZCevi7MDcjHoLWuiezZs2eNd2za+uHmHTtGz3feITcoiJ1PPAH82T84wNcNQ+kRjKnWuqC2hFzRuVqLzjcfYi06r7UGYqfPP8dp5UpWPv0aj2W6YhHwWlstfQwl6hX1hAkTKC0t5e6772bTpk3yirrm6u+ntX3IOFoLhBAUFxezfv16VqxYwfr16yvcbevRoweTJ0+mffv2VP5srKoMUeWOMrdDMpmfn098fDzl5eW4urrSu3fvGl/UWiwWcnJy1BmgqpYXBQUF4e/vX+NZmMr9uT09PRk/fjyZmZm0aNGC3bt3O6SsXQMhE8rGTghBamoqK1euJDIyktjYWPWcTqdjxIgRjBgxAl9f3wpB0dbbtfz8WQ6lHKe/7zZctBfU89Ye2UNwbRGOk0eHWg2K1Uko80vLGbHmKHEZBXT1duEfTQtw01g3tISEhNil/Idy7hyGSZMwtmnDwRde4NKlS1W+ZoG+BpyLD1KStonSrAPAlWTeqQmGpvfjGhyOR2Qse3YdJvze6ZQKhTmtdQxyK77mirpLly7s3LkTPz+/Wx5/I1Z/P7HtQ8bRWma702a7SN++fbtalgjgb3/7G48++qhaK9hGo9Hg5+dHYGAgubm5nD9/Hrg9ksnCwkLi4uIoKyvDxcWFsLAwXFyunW2pCdvyItsMUOXlRTUp3VS5P3dAQAATJ04kOTkZPz8/tm/fTrdu3ewy/kZKJpTSn4QQJCUlqYvQExMT1XPOzs5MmDCBgQMH0qRJk2uuuAFaBToR6JRI8YUNlBf8oR7XebTDLTgc1xbhf91ppoaq2sByteIyMyPXHmNvah4dvJx5o2khTbQCDw8PQkND7bbmUElJwTBlCuYuXShdvFjth5uRkUF2dvY1u0IDAwMJ8NajL4qlJHUjpZcOYvsnn7GvMyMCZlDg5MLUlnpGeRSqV9Tjxo0jKyuLli1bsnv37jpbWtCA1d9PbfuQcbQOCSFIS0tj1apVREVFsX//fvWcRqNh+PDhPPzww/j7+1cZR319fenRo0ed1LisqaKiIuLi4jCZTDg7O9O7d+9aKwNkNpu5fPkymZmZ6vIiG61WWyG5vN6Spcr9uYOCgpg1axZHjx7Fzc2NzZs3069fv1oZfyMiE8rqyM7O5rPPPmPr1q3odDpyc3OJiIhg3rx5DXYDhNls5tChQ6xYsYKVK1dy4cKfdx89PT2ZOnUqrVu3plWrVhXexGoZIvdCuLyd4vMbMZekq+f13t2tNS6bP2QtBm4HuqVL0S9dWmVCaSy3EBF9jO3ncmntoeet5sV4ai24u7vTu3dvu3a9UM6cwTB9OuauXSm9UsfMpnI/3KvZ+uEGeOvQ5f/K8TP7efTYUC7p3JmgOcvYzk3VlooTJ04kJSUFPz8/duzYQdeuXe02/kZMJpS1oLpxMzU1lSeffJLs7GyMRiOzZs3iqaeecsSQ7c42jR0VFUVkZCQnTpxQz9lmGkJCQmjRokWFWFQbZYjspaSkhNjYWEpLS3FyciIsLKzO2v7ZlhdlZGRw6dIldakWWGeA/P39q6wL+scff3DmjLWmcFBQEK+88gq7d+/GycmJdevWER4eXq9e49uUTCir48cff+T9999n3759eHp6kpaWRkhICLNmzeKdd95x9PBqlRACs9nMrl27iIyMZM2aNVfaOmqwWCz4+Pgwc+ZM+vTpc50yRAH4OmdhvhhD8YXNWEw5V85qcPYPw7XFUFybDURTw3qNcFVC+fTTlD/2mHrcZLbw2M/H2ZicTQt3PW+3KMFHa8bV1ZWwsDC77yBUTp/GMGMG5u7dKf388+s+rnI/3KsVapx55bSG9BIzw5XzzGkKRp9AgoKCmDlzJgkJCbi7u7Nlyxb69u1r1/E3Yg39k8QhcbQ6cdNisRAaGsrIkSN58803uXjxInfeeafa6q4hubpWcFRUlHq3DKy7wR977DEGDRp0zbSxPcoQ2YvRaCQuLo6SEuta7t69ezts7XZ5ebk6A3T58uVrZoACAgIIDAykuLhYnW0LDAzkvffe4+eff0ZRFJYtW8aECRNkMmkfMqGsjg0bNpCens7jjz+uHpszZw6bN2/m1KlTDhxZ3bKVexg0aBBxcXGAdVejrT5b+/btmTZtWpV3zaxliPzw0p7FlLGFkrQYRHmR9aTGCUPgPbi2GIpL0H1odDdX5Fb33Xfov/22QkJZbhFMW3+Ctacv0dTVif9rVYqfthyDwUDv3r3tttbnakpSEoYnnsDcsyeln31WrZ+x9cPNyMggNTuffyTrOF+qoYebhfmtytmzczu9evXiq6++Yt++fej1eqKjo3noodrf9LR27VreffddDAYDGo2GL774oqHeEW3onyYOiaPViZs///wzo0eP5vLly3h4eADw6quvsm3bNjXGNETl5eVMnjyZyMhIwFr/Nj3dOpMTEBDA9OnTueuuu665SK9JGSJ7KS0tJS4ujuLiYrRaLaGhoXh61vxGgD2VlZVVmAGqnIscOHCAwMBA4uPj+eGHHwD49NNPee6552QctR+7vpANc+4XCA8Pv+aYi4vLNR1UGjpFUcjJySE1NRWAjz76iMDAQCIjI9m8eTOnT5/m9ddfByAsLIyJEyfSunVrdcF6bm7ulVIQYwgMmYmnJZHStM2UZOyiJH07JenbUbQGDM0ewDV4KC6Bd6Nobn5K2iIET25KZO3pS/gZdLzVyoSfthxnZ2dCQ0NrJZkEUGrQy9vWD9evWTCvrjrE+dIiOrrCvJbllBYXsmjRInUHJcC7775bJ8nkgQMHmDJlCnFxcXTs2JEffviBhx56iJMnT8rd5FK1VCdubt26lY4dO6rJJFhjxz//+U9ycnLw9vauk7HWtdLSUjWpnjlzJiNGjGDlypVER0eTlZWl9mVu27Yt06ZN48477wSsaxfPnDnDmTNn6rQYuMlk4uDBgxQXWzcG9urVq94kk2C9I9m8eXOaN2+uLi86f/48hYWFCCH49ttvycjIUOPotGnTePbZZ2Ucrcca7B3KqvTv359+/frxz3/+09FDqXNJSUns2bOHGTNmANY7lxcvXmT16tVERUWxe/du9QpRURQGDhxIREQEzZo1q7DmRS1D5OeOa+nhP0vqXNn1rNF7YWg+GNfgcJz9QlGUqhM1tU3h009T9uijPLv1NEsT0vF21rKwjZnmWhN6vZ7evXvX6lofzfHjuDz9NObevSn9+ONq/5zJbGHcTwlsScmhnYeeBc0K8dBBeno6CxcuVBN4m6lTp/Ldd9/ZefQVjRkzBp1OR1RUFGCdrmvWrBnz589nzpw5tfrcDiDvUNaRynFzxIgRlJSUsHXrVvUxu3fv5t577yU+Pp6QkBBHDbXW5eTk8NVXX/HKK6+g0WhuWCu4Z8+eTJ48mXbt2lWrDJG9lJWVcfDgQfLz89FoNPTs2RNfX1+7Poe95eXlER8fj9lsprS0lDfeeOOa2cSQkBDi4uJqNamUcbTmqn9b5ja3bds2zp07x/z58x09FIfo2LGjmkyCNWkMCAjgmWeeYceOHSQnJ/PBBx/Qq1cvhBBs3bqVp556itGjR/Pjjz+Sk5ODoihYLBYyMzM5evwMcSneZHk/h+Hu1Xh1fw29T08splyKkldxcffjpG98kNxjH2HKOV7lzkgAYRG8suMMSxPS8dBreaeNheZaE05OToSGhtb+wvEa3KG0CMGsTUlsScmhmasT85oW4aGzdos4ffo0qamp+Pj4cM8999C+fXuAOvmQjYmJISwsTP1eo9EQGhpa4YNfkm5GVXGzuLj4mrtrtu8r935uaLy9vZk7d666eURRFNzd3Xn00UdZt24dqampLF68mAEDBqDRaDh8+DAvv/wyjzzyCJ988glpaWnqz2ZnZ3PixAl27drFkSNHyMzMrLAbuqbMZjOHDx8mPz8fRVHo3r17vU8mi4qKOHToEGazGYPBQE5ODqdOncLb25tu3boRGhoKQK9evWr9DqWMozV32yWUb731Foqi/OVX5XU8qampPPXUU0RHR9erW/71haIotGrVirlz5xIXF0dCQgLz58+nffv2lJeXs3r1aqZPn864ceP46aefKCoqQlEUysvLSUtL41BCCgdTm5MT9Dru/Vbh0eV5nDw7YC7JpOD092Ruf5SMLQ+Td+ILygr+7K0rgDcKPfjycCpuOg1vtxW00Jai0+kICQnB3d299v/4m0wohRC8suN3ViVl4e2sZX4LI35OgiZNmrB3714+vnKXMyIigp07d5KUlER8fDwTJkyorb8AgMuXL5OXl0dQUFCF40FBQfzxxx/X+SmpsbBn3HR1db2m9Z7t+7peI1ifKIqCn58fTz75JNu2bSMlJYWPPvqI3r17A7Bz506eeeYZRo4cydKlS8nOzlY3SmZlZXH06FF27txJQkLCNbuhq8uWTNo2Dt555531voOM0Wjk4MGDlJWVodfrycnJUe8E9ujRgwMHDhAXF8fvv//Oa6+9VqtjkXH01tx2U96FhYUUFhb+5WP8/PzUEhfZ2dkMHjyYDz/8kEGDBtXm0Bocs9lMXFyc2gvXtgAdrBt2pk2bRv/+/a+ZrjEYDNbuCO7FcHkHRRc2YC76s4SRk1dn/A8349OTHizoMhAXrcLCDhraaUvQarWEhITg5eVVJ3+j5tAhXJ5/nvJ+/TB98MENH//+/hQW/noWNycNC1ubaa239uc+c+YMTz/9NGCdMlmxYoXdp7H+yvnz52nZsiUrV65k7Nix6vFnnnmGzZs38/vvv9fZWOqInPK+CfaMm88//zwxMTEkJCSox1atWsW4cePIzs5usGsoa0oIQWJiolqGKCkpST2n1+uZMGECgwYNuqZW8M2WIbJYLBw5coRLly4B0LVrV5o1a1Y7f5SdVO7PrSgK48aNo6ioiF69erFt27Y6+ywAGUdv1W13h9Ld3V19k13vyxYUCwoKGDFiBAsWLFCD4ldffeXI4d9WtFotffr04dNPP+Xs2bNs3ryZ6dOn4+3tTW5uLp9++iljx45l9uzZxMXFqVfUJSUlJCcnc+BYJifywyhtvwjPu7/Fve0kNM5+lOWe5ONCHQu6DEQvynm/5XE6KhfVtT51GUBu5g7lV0dSWfjrWfQahdfvsNBaX4azszOXL1/m2WefBeCBBx5g2bJldZpMwp93hqq6c9SY7xpJVvaMmwMHDuTUqVMUFBSox+Li4ggNDZXJZBUURaFz58689dZbHD9+nAMHDvDiiy+qm1G+++47Jk2axKRJk4iJiVHXYJaVlXH+/HliY2PZs2cPp0+fpqCgoMrlQxaLhWPHjqnJZOfOnet9Mmmrm1xUVIRGo8HV1ZXJkydTVFREu3bt+OWXX+r2swAZR2/VbXeHsrqMRiPh4eGEhITw2FV1Dp988kni4+MdOLLbmxACo9HIhg0biIyM5JdffqGkpEQ936lTJ6ZOnUrnzp2v+VkvLy+CAv3x1l3gf5ExzLb048uSH+nb9SACDVqfMLzaPIKh6QNonOqm6K4mNhaXl1+m/N57MS1ceN3HrUrKYvr6kwDMb6cl1MVa000Iwfjx4ykuLiYkJISYmJg6D4I2Xl5ezJ8/n7///e/qsWHDhqmFgBsYeYeyFlQnbtrqUI4ePZo33niDS5cuceedd7Jo0aIGV4eytlxdK3jFihWsWbOmQvOEoKAgpk+fTlhY2DWdZCqXIRJCcPz4cXUGqUOHDvW+t3Xl/tx+fn6MHz+eCxcuEBQUxO7du2nXrp1Dxibj6C38soaaUC5atOi6O7Jq4W9ulGw1LteuXUtkZCQxMTEV+rf26dOHCRMm0Lp16wrrgRRFwdvbm7T8AvxKDuFRfggPywmwWK8KFa0LLkH34doiHEPg31C09i1mfjXNb7/h8sorlN9/P6a3367yMVtSshkbnUCZRfBSGx33ulrLcLi5uREREUFOTg7t27dn586dNG3atNbGeiOjR49Gr9erdfKEEDRr1ozXX39d7k68/TgkSFU3bl64cIEnn3ySnJwcjEYjTzzxhLrkQ7o5tov0TZs2ERUVxc8//0xRUZF6vl27dkyfPr3KOogeHh4oikJeXp762NatW9fZ2Guicn/upk2bMmXKFJKSkvDy8iImJsahlQJkHL2FX9ZQE8r64vTp00ydOhW9Xs+OHTscPZxaI4QgMzOT1atXExkZyd69e9VziqIwePBgxowZQ9OmTa9ZbO7h4cEdLYNwLT2CMW0Txsx9IKyJqeLUBNdmg3BtEY6z/10oin175Wp+/RWXuXMpHzgQ05tvXnP+QHo+w1YfobjcwhN36BnmXqheUY8bN47U1FSaNm3Krl27HHZFrY71wAG1gH2HDh348ccfmTdvXkOtnyYTygbsRnEzLy+POXPmkJSURHl5OY888ggLFiy47bunCCEoKCggOjqayMhItmzZQllZmXo+JCSEyZMn06ZNm2tujLi4uNCmTZtaKUNkL0IIkpKSOH/+PADNmjVj9uzZxMbG4uLiwvr16xkwYIBD/zvKOHoLv0wmlLVn2bJlfPHFF2i1WnQ6XYNOKK8mhCA5OVltV3b06FH1nE6nY9iwYbRu3Zq77767QvkRnU5nbb3la8C5OI6SCxsovRSP7Z+UxtkP1+CHcG0Rjt67u12CjnbPHpz/8Q/KBw3CtGBBhXMnLxfx4MrDZBvLebSFM+M9ClAU6xX15MmTOXXqFF5eXmzbto1evXrd8ljsQXZ4aDAabRytTtx8+OGH8fX1ZenSpRQXF3PXXXcxY8YMXnzxxbofcC35q1rBAMOHD6dp06bce++9FRIdRVHU/th+fn7XdO5xpKv7c9vu+m3ZsgWtVsvKlSsZNWpUvbgokHG0hr9MJpS1Z/369QwaNIhZs2aRkpLSaBLKq9kWi0dGRhIZGUlKSop6rkePHoSFhTFw4EB1LZCNXq8nMDCQQG8t2ry9FF/YQFnuCfW81i0Y1+BwXIPD0Xu2r/H4tLt34/z665Q/9BCmKx2DAM7lGxkYdYi0QhPDmrkwwzsfjWINgs888wxxcXEYDAbWr1/PfffdVy+CYCPT0F/wRhtHbxQ3jx07Rvfu3Tlx4oS6VvuLL77g7bffJj09/Zo1hw2BEIKzZ88SGRnJypUrOXTokHquW7dudOjQgREjRuDr61thBkir1RIQEEBQUBA+Pj4OfW0uXLjAyZPWdehBQUF8/PHHrFy5EoB///vfzJgxQ8bRuidbL94uhg4d6ughOJxGo6FHjx50796dzMxMli5dCli7RBw5coQjR47w9ddf4+3tzbRp0+jXrx9OTk6YTCbOnz/P+fNgMLQjqOW7+Hc1QfZOis+vp7wwhYKkf1OQ9G+cPNrj2mIorsFD0LkF39wAbYWErwq0F4tNPLzmKGmFJu4NdGH6lWSyefPmzJs3j7i4OLRaLcuXL5fJpCTZ2Y3i5tatW3F3d6+w8S8sLEyt5dizZ8/aHmKdUxSFO+64g3nz5uHi4qImlF5eXiQkJJCQkMCaNWtwdnZWyxC5u7tjNptJT08nPT39pssQ2VNmZqaaTPr5+fH999+ryeS7774rk8kGouFdykn1kqIoareDBQsWkJ6ezvr165kyZQqenp7k5OTwySefMHbsWObMmcPBgwfVO5ZqGaKjqZzI7Ymx3b/w6vcDTdpPQ2sIpCz/NHnH/0X6pnAyd0yi4Mx/MBsvVW9glcoGFZjKGbX2GKdzSgj1dWG2bz66K9PcH3zwATExMQAsWbKERx55RAZBSapjf/zxB4GBgRWO2QpRN4bi0126dMFgMBAREUFGRga//vorzz33HE2bNqW0tJSlS5cyceJEpkyZwvbt22tUhsieLl++zLFjxwBrArx582a+/PJLAF544QVee+01GUcbCDnlXQemTZvWaKe8K4uNjaV3795qABFCUFxczPr161mxYgXr16+vUAOsc+fOTJs2jU6dOl0T+KxliALwdkrHlLGFktTNWEy5V85qcA7oY50Wbz4IjVPVi6m1MTE4v/02ZSNGUPDiy4xed4yd53Pp5OXM/KYFuGutV9TLli1jyZIlALz//vvMnTtXBkHHaugvfqOPo9eLmzNmzGD//v0cP35cPZaVlUVgYCDLli1j0qRJdTzSunf48GG6dOmCXm+tgCGEoLy8nO3bt7NixQrWrVundssB6wXx448/Tmho6A3LENnT1f253d3dSUhI4IUXXgBg0qRJLF26VK1/KjlE4y5s7mg1aWEm/SksLKxCIqYoCm5ubowdO5b//ve/pKen8/XXXzNo0CC0Wi0nT55k7ty5PPLII3z44YecO3dODYi5ubkkJp1i//FCUsQw6PkfvPt8hmuL4Sg6F0qzfiXn4AJS/zeAS/tfoPjCJixmY8UBXZnyNms0PL7hJDvP59LS3Ym5QYW4a629ezdu3Kgmky+99JJMJiXpJtkzbsrWj9CzZ081mQRrHHVycuLBBx/k22+/JTU1ldWrVxMREYHBYCA9PZ13332X0aNH8+qrr3LixAk1hhUVFXHmzBn27t3LgQMHOHfu3DWvb01U7s+dlpbGSy+9BEB4eDhff/21TCYbGHmH8ibdbAszkHcoa0IIQVpaGqtWrSIqKor9+/er5xRFYciQIYwePZrAwMAKi9A1Gg3+/v4E+nvhVpaAMXUTJZm7wWItvaHo3DA0ewDX4HBcAvqi2xyD/r33mDnqeb7FD3+DjndblRKgM9OkSROOHj2q7hydNGkS3333Xb3aNdmINfSMvkHFUXvGzU8++YQFCxZU6NQTGxvLXXfdxaFDhxrkGsqaEkKQl5fHunXriIyMZOvWrZht68axXuBPnDiRNm3aXFPOzcfHh6CgoBqVITIajcTGxmI0GtHr9ZhMJsaPH09paSl33303mzZtaogleG5Hcpf37UYmlLdGCMHp06fVXrgnTvy521un0zF27FjCw8Px8vKqEBTVMkR+brgUH6Q4dQOlWQcA62M0em98z3floyNNeb/jfXjotbzbupwWTtb+3KmpqcyYMQOLxUJ4eGBDrIgAAAzGSURBVDjr1q2rcFdAciiZUDZw14ubR48epUePHpw8eZJOnToB8OWXX/LWW2812F3e9iCEICMjQ60VvG/fvgrnBw8eTERExDW1gm+2DFHl/tzOzs6MGTOG/Px8unTpws6dO/Hz86uVv1G6aTKhvN3IhNJ+bC27bDUuz507p54zGAxMmTKF+++/H4PBUHUZIh892vx9lFzYgCn7KKuSBvKGyyhcRDn/11FHe70JZ2dniouLeeyxxzCZTPTr14+NGzfKK+r6RSaUDdxfxc2HH34Yf39/vvnmG0pKSujTpw/Tpk1Tp1Slv2arFbxixQqioqLUTTNgneUZM2YMw4cPx9vb+6bKEJnNZuLj48nLy0Oj0eDt7c2YMWPIysqiZcuW7Nq1q963hWxkZEJ5u/jpp5/4+OOPSUxMxGg00rNnTyZPnsyMGTMcPbQGwWw2s3fvXpYvX85///tfLl36c2e3j48Pjz/+OH379r1mnY7BYCAoKAh/DzMnNv7EpPTO/J/lEP69rY91cnIiIiKCgoICunbtyo4dO+QVdf0jE8oGqjpxMzc3lzlz5nDq1CnKysoYOXJkg+iU4whX1wqOiooiOTlZPefi4sKkSZN44IEHcHNzq3CRXrkMkRCiQn/uoKAgHn30UZKTk/Hz82PHjh0NtTj47UwmlJJ0NSEEJpOJLVu2EBkZSXR0dIX1Wi1btuTxxx+vcm2Vm5sbhaVlWIxFOOmd8fLyYsyYMVy8eJFWrVqxa9cuWrZsWZd/jqqxtO2soYaeOcg4KtU5s9nM/v37Wb58OatXryYrK0s95+npyfTp0+nfv/81aypdXFzQarXk5+ej0Who2bIl06ZN49ixY7i7u7Nlyxb69u1bJ39DY23bWUMyoZSurxG1jKqSEIKioiJ++uknoqKi2Lhxo1qHDaxdJaZOnUrHjh0rTOV8/vnnpKWl4eTkxJEjR/Dz82Pnzp106dLFEX9Go23beRMaevSXcdSBZBy1XqRv27aNFStWEB0dTX5+vno+ODiY6dOnExISUiER+/nnn9myZQvBwcHs27cPJycnoqOjGTJkSJ0kbLJt502z738UIYS9vyQH+e2334S7u7tITEwUQgjx/fffi+bNm4v8/HwHj8wxLBaLuHjxoli8eLEYMGCAUBRFYP2gFoC4//77xdSpU8VXX30lXF1dK5zr27ev+P7770VpaalDxv6///1PlJaWiqlTp4r77rvPIWOo52ojdtWnL8lBZBytyGKxiMLCQhEVFSVGjRolnJ2dK8TK/v37i4iICPH555+LDh06VDjXtm1b8emnn4qcnJw6GeuN4ubRo0cFIE6cOKEeW7RokQgICBBms7lOxljP2DVuyTuUDciYMWPQ6XRERUUB1rUxzZo1Y/78+cyZM8fBo3MsIQQXLlxg5cqVrFixgvj4ePVcp06dsFgs6HQ6EhMT1TuXgYGBpKamOrRMkNzQdV3yDqVUK2QcvT4hBNnZ2axdu5bIyEi2bdumrqvs1KkTRqMRNzc3Tp8+rc4MKYrCuXPnCA6+yba4t0CWnKo2WdhcqlpMTAxhYWHq9xqNhtDQULZu3erAUdUPiqLQokULXn75ZYYPH64e9/f3JzExkVOnTnHixAkWL17ML7/8wsSJE5kxY4asOSlJjYyMo9enKAq+vr7MnDmTp556Sj3u4+NDYmIiKSkpHD9+nClTprBnzx7mzJlDREREnSaTf6Wxt+2sbbJMfQNx+fJl8vLy1DeHTVBQELGxsQ4aVf3Uo0cPnJ2dmTp1KosWLWL//v1Mnz6d4OBgZs6ciaIoDBs2zNHDlCSpjsk4Wn1t2rTBz8+PLl26sGHDBs6ePcusWbM4f/48ixcvRqvV0r9/f0cPs4Li4mKcnZ0rHLN9X1xc7IghNSjyDmUDYXszVPVmkW+UikaNGsVvv/3GF198gU6n45577iEpKYlt27bV6sJx2bZTkuo3GUerLyQkhF9//ZXo6GgMBgOdOnVi165dnDlzxq4zO7Jt5+1D3qFsIGxvhqreLPKNcq0ePXpU+L4uumv8/e9/rzBNVBVZ71KSHEfG0ZvTtm3ba47ZO5baM262adOGzMzMCscyMjLUc9KtkQllA+Hr64unp6f65rDJyMiQb5R6wt3dHXd3d0cPQ5Kk65BxtP6xZ9wcOHAgL730EomJiWrbzri4OAICAujevbtdnqMxk1PeDcgDDzxQ4da/EIKDBw8yaNAgB45KkiTp9iHjaMPVvXt3RowYwT//+U8ASkpK+PLLL5k7d67sAW8H8hVsQObNm8f69es5deoUAP/5z3/QarVMnTrVwSOTbtZPP/3EgAED2LhxI4cPH2bAgAF88803jh6WJDV4Mo7evqoTN3/44QdKS0u566676NevH2PGjGmsRc3tTtahbGAae4cHqdGQdSilWiPjqNRIyNaLkiQ1ejKhlCRJujWysLlUv5lMJl577TV0Oh0pKSmOHo4kSVK9dqOYuWTJEkJCQujfvz/Dhg0jNTW17gcpSTcgE0rJrlJSUrjvvvtIS0vDbDY7ejiSJEn12o1i5po1a3jzzTfZuHEje/fupU+fPgwfPlxtEStJ9YWc8pbsKiEhARcXFy5cuMD9999PcnIyd9xxh6OHJTU8cspbahBuFDNDQ0MZNGgQH374IQB5eXn4+fmxdu3aCm1kJakG5JS3VH9169aNdu3aOXoYkiRJt4W/ipk5OTkcPHiwQm9xT09POnToIHuLS/WOTCglSZIkqR76448/AKrsLW47J0n1hUwoJUmSJKkekr3FpduJTCglSZIkqR6SvcWl24lMKCVJkiSpHrL1D5e9xaXbgUwoJclOsrOzeeutt7jnnnsYMGAAPXv2ZOHChZSXlzt6aJIk3Ya8vb3p1atXhd7i+fn5nDp1qsH0Fq9u3ExNTWX48OH069ePkJAQFi9e7KARS9ejc/QAJKmhWL9+PatWrWLfvn14enqSlpZGSEgIJpOJd955x9HDkyTpNjR//nxmz57Nyy+/jL+/P5999hndunVj6NChjh6aXVQnblosFoYPH87IkSN58803uXjxInfeeScBAQGMHj3awX+BZFMbdSilRkxRFD2wGfACegC/AeeFEGMdOrA6oChKONBUCPHtVcc+Bx4UQnRw3MgkSaqvqhMzFUV5CpgFGIEc4EkhxAUHDNfuqhM3FUUZAawBfIUQ+VeO/X/AA0KI3g4YtlQFeYdSsishhAkY4OhxOIIQYkMVh42Avq7HIknS7aE6MVMIsRhokHO81Yybg4AkWzJ5RSzwiqIo3kKInNoco1Q9MqGUGiRFUcYBMwEt4AGcA14RQtR18ba7gVV1/JySJEk37UZxU1EUBXgDGAmUA6eA2UKIPDsPpXLcbANkVHqM7fvWWO/aSg4mN+VIDdWPwEdCiIFAH6AA2KgoiktdDUBRlAeAlsDCunpOSZKkW3CjuPkiMA64RwhxF2ACfrDnAK4TN12B0koPLb3qnFQPyIRSaqiihRCbAYQQFuBzoD0QcrO/SFGUtxRFETf46l3pZ5pjnaJ6pBau3iVJkmrDdeOmoihaYB6wSAhhq6r+EfCwoijdKv8iO8fNYqBidfc/v5cV3usJOeUtNUhVbAIyXvnfmqxn/Igbr1+6ZPs/iqL4AD8BzwghDtbg+SRJkurcDeJmd8Af69pFm5NAEdY1jgmVftaecfMPYGClY7Z+lMk3eA6pjsiEUmos7gbSgL03+4NCiEKgsDqPVRSlCfAz8I4QYuuVY7OEEF/d7PNKkiQ52NVx8+Erx9S1jEIIoShKJtY1jhXYOW7GAE8ritJECFFw5VhvIF5uyKk/5JS31OApiuIMvAI8J4Qoq8XnccF6hb0fSFUUpfeVKZ0na+s5JUmSakMVcdO2VrGqtYw1XsdYzbj5C3AceOHKz/gBU4D3avq8kv3JO5RSY7AEWC2E+G8tP88MrOU/BgAv1fJzSZIk1abKcdO2VrGqtYy3so7xhnFTCGG5UotyiaIo+wAXrHcz19zC80p2JgubSw2aoigfAH7AE0L+Y5ckSbqhquKmoii9gINAmBAi7soxBetO8PlCiE8dNV6pfpB3KKUGS1GUucAdwIQra31CAYQQ8Q4dmCRJUj11vbgJHAYuYl27aGsu3glwA7bW9Til+kfeoZQapCutyuYATwC2dZPDgRQhxHeOGpckSVJ9daO4qSjKS8B0oI8QolhRlK+BACHEw1X/RqkxkQml1OBc2TGYS9WbzqbLhFKSJKmi6sTNqzrljMKacJ7G2iknt+5GKtVXMqGUJEmSJEmSboksGyRJkiRJkiTdEplQSpIkSZIkSbdEJpSSJEmSJEnSLZEJpSRJkiRJknRLZEIpSZIkSZIk3RKZUEqSJEmSJEm35P8BEV+p4PAv4/cAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = numpy.array([[1,2,7], [0,1,3], [-3,1,0]])\n", "plot_3d_linear_transformation(N)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the help of SVD, now we could look at this rank-deficient matrix from a different perspective. Let's plot each component of the SVD and turn on `unit_sphere` to visualize it." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "U, S, VT = numpy.linalg.svd(N)\n", "plot_3d_linear_transformations(VT, numpy.diag(S), U, unit_sphere=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The second transformation squishes the unit sphere onto a flat ellipse on the plane $z=0$. Since each singular value describes the scaling ratio along the corresponding axis, what we observe implies that the third singular value, corresponding to the $z$-axis, is zero. Let's print out the singular values to verify." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[7.98954415e+00 3.18860224e+00 2.66809284e-18]\n" ] } ], "source": [ "print(S)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a $3 \\times 3$ matrix, the number of nonzero singular values determines the dimensionality of the unit sphere after the transformation. If the matrix is full-rank, the transformed shape is an ellipsoid; if it has rank 2, the transformed shape is an ellipse; if it has rank 1, the transformed shape is a line segment. We can generalize this observation to higher dimensions as follows:\n", "\n", "##### Key idea:\n", "\n", "> The number of nonzero singular values of a square matrix $A$ is equal to its rank.\n", "\n", "##### Challenge:\n", "\n", "> Check the singular values of a rank-1 matrix." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For an $n \\times n$ matrix, SVD can be written as (we use triple dots to indicate skipped rows or columns, and don't show the zero values of the scaling matrix):\n", "\n", "$$\n", " A =\n", " \\begin{bmatrix}\n", " \\mathbf{u_1} & \\mathbf{u_2} & \\dots & \\mathbf{u_n}\n", " \\end{bmatrix}\n", " \\begin{bmatrix}\n", " s_1 & & & \\\\\n", " & s_2 & & \\\\\n", " & & \\ddots \\\\\n", " & & & s_n\n", " \\end{bmatrix} \n", " \\begin{bmatrix}\n", " \\mathbf{v_1}^T \\\\\n", " \\mathbf{v_2}^T \\\\\n", " \\vdots \\\\\n", " \\mathbf{v_n}^T\n", " \\end{bmatrix}\n", "$$\n", "\n", "When a matrix is rank-deficient with rank $k$, only the first $k$ singular values are non-zero; the decomposition can be truncated as follows:\n", "\n", "$$\n", "\\begin{align*}\n", " A &=\n", " \\begin{bmatrix}\n", " \\mathbf{u_1} & \\mathbf{u_2} & \\dots & \\mathbf{u_k} & \\dots & \\mathbf{u_n}\n", " \\end{bmatrix}\n", " \\begin{bmatrix}\n", " s_1 & & & & \\\\\n", " & s_2 & & & \\\\\n", " & & \\ddots & \\\\\n", " & & & s_k & \\\\\n", " & & & & \\ddots \\\\\n", " & & & & & 0\n", " \\end{bmatrix} \n", " \\begin{bmatrix}\n", " \\mathbf{v_1}^T \\\\\n", " \\mathbf{v_2}^T \\\\\n", " \\vdots \\\\\n", " \\mathbf{v_k}^T \\\\\n", " \\vdots \\\\\n", " \\mathbf{v_n}^T\n", " \\end{bmatrix} \\\\\n", " &=\n", " \\begin{bmatrix}\n", " \\mathbf{u_1} & \\mathbf{u_2} & \\dots & \\mathbf{u_k}\n", " \\end{bmatrix}\n", " \\begin{bmatrix}\n", " s_1 & & & \\\\\n", " & s_2 & & \\\\\n", " & & \\ddots \\\\\n", " & & & s_k\n", " \\end{bmatrix} \n", " \\begin{bmatrix}\n", " \\mathbf{v_1}^T \\\\\n", " \\mathbf{v_2}^T \\\\\n", " \\vdots \\\\\n", " \\mathbf{v_k}^T\n", " \\end{bmatrix}\n", "\\end{align*}\n", "$$\n", "\n", "We can drop the singular vectors from $U$ and $V$ whose corresponding singular values are zero. From a geometrical point of view, if a vector's component along an axis is squished to zero, it does not matter how you rotate that component to other axes.\n", "\n", "In the example above, the $3 \\times 3$ matrix $N$ has rank 2." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2\n" ] } ], "source": [ "k = numpy.linalg.matrix_rank(N)\n", "print(k)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can reconstruct $N$ with only the first two singular vectors and singular values:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 1.00000000e+00 2.00000000e+00 7.00000000e+00]\n", " [ 1.11022302e-16 1.00000000e+00 3.00000000e+00]\n", " [-3.00000000e+00 1.00000000e+00 -8.74300632e-16]]\n", "True\n" ] } ], "source": [ "U, S, VT = numpy.linalg.svd(N)\n", "N_k = U[:,:k] @ numpy.diag(S[:k]) @ VT[:k,:]\n", "print(N_k)\n", "print(numpy.allclose(N, N_k))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This implies a great advantage of low-rank matrices: they can be stored and reconstructed inexpensively by stripping zero singular values and the corresponding singular vectors from SVD." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Low-rank approximation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Though low-rank matrices are easier to work with, the matrices from real-world applications often are not in our favor. \n", "\n", "Take a look at the $4 \\times 4$ matrix\n", "$ A = \\begin{bmatrix} 1 & 2 & 3 & 6 \\\\\n", " 2 & 5 & 7 & 10 \\\\\n", " 3 & 9 & 12 & 14 \\\\\n", " 4 & 7 & 9 & 15 \\end{bmatrix} $.\n", "Let's first check the rank of $A$." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4\n" ] } ], "source": [ "A = numpy.array([[1, 2, 3, 6],\n", " [2, 5, 7, 10],\n", " [3, 9, 12, 14],\n", " [4, 7, 9, 15]])\n", "print(numpy.linalg.matrix_rank(A))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is difficult to visualize this linear transformation with a plot, but we can gain some insight by doing SVD. All four singular values are non-zero, but the last one is significantly smaller than the others and close to zero, indicating that the \"4D unit sphere\" is almost stamped onto a \"plane\" in that direction. In other words, $A$ has full rank but is very close to a rank-$3$ matrix." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[31.94504943 2.81273628 0.77396598 0.05751823]\n" ] } ], "source": [ "U, S, VT = numpy.linalg.svd(A)\n", "print(S)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the scaling factor along the last axis is negligible, why not try to approximate the matrix $A$ with the three largest singular values?" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 1.01333778 1.9779498 3.0176867 5.99611842]\n", " [ 1.98096577 5.03146764 6.97475947 10.00553936]\n", " [ 3.00726293 8.98799282 12.00963108 13.99788633]\n", " [ 4.00058714 6.99902932 9.00077859 14.99982913]]\n", "3\n" ] } ], "source": [ "k = 3\n", "A_k = U[:,:k] @ numpy.diag(S[:k]) @ VT[:k,:]\n", "print(A_k)\n", "print(numpy.linalg.matrix_rank(A_k))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By dropping the smallest singular value and its singular vectors in the decomposition, we arrive at a rank-$3$ approximation of matrix $A$. Though `A_k` is rank-deficient, each entry is very close to the full-rank matrix `A`. The example might look trivial, but it demonstrates the important idea that we can sometimes approximate a higher-rank matrix with a reduced-rank matrix to save storage cost. This strategy is called *low-rank approximation*, and you will find that it's ubiquitous in scientifc computing." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Application to image compression\n", "\n", "Low-rank approximation is widely used in data compression to reduce storage cost. In this section, we will use SVD to compress a grayscale image of the Washington Monument and explore the tradeoff between compression ratio and image quality.\n", "\n", "We will use the `imageio` library to manipulate image data. First, load the image file to an array using [`imageio.imread()`](https://imageio.readthedocs.io/en/stable/userapi.html#imageio.imread)." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "from imageio import imread\n", "image = imread('../images/washington-monument.jpg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The type of this array is a subclass of `numpy.ndarray`, so we treat it as a `numpy` array. Let's check its shape and data type." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "(300, 300)\n", "uint8\n" ] } ], "source": [ "print(type(image))\n", "print(image.shape)\n", "print(image.dtype)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The image was converted into a $300 \\times 300$ array, and each entry is an integer value that indicates some gray intensity between 0 (black) and 255 (white). Given the image array, we can use `pyplot.imshow()` to display the image and set the colormap to gray." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.figure(figsize=(2,2))\n", "pyplot.imshow(image, cmap='gray');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we are ready to factorize this image with SVD." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(300, 300) (300,) (300, 300)\n" ] } ], "source": [ "U, S, VT = numpy.linalg.svd(image)\n", "print(U.shape, S.shape, VT.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us visualize the distribution of its singular values, the indices of which are on the $x$-axis. Notice that the singular values are sorted in descending order." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.figure(figsize=(2,2))\n", "pyplot.scatter(numpy.arange(len(S)), S, s=0.5)\n", "pyplot.yscale('log')\n", "pyplot.ylabel('singular value');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Without compression, the square image requires the space to store $300^2$ integers. With a rank-$k$ approximation, we would only need to store the truncated SVD components: $300k$ integers for $U$, $k$ integers for $S$ and another $300k$ integers for $V^T$. The compression ratio can be defined as:\n", "\n", "$$\\text{compression ratio} = \\frac{300^2}{300k+k+300k}$$\n", "\n", "This ratio should be greater than 1, namely, the rank $k$ should be less than $149$, otherwise we deviate from the goal of compression.\n", "\n", "To visualize how the compressed image changes with varying $k$, we use Jupyter widgets to generate the interactive visualization. Let's import the module and create an integer-type slider for the reduced rank $k$." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "509adc39fa124bf6a47bdbddc85d3c60", "version_major": 2, "version_minor": 0 }, "text/plain": [ "IntSlider(value=1, max=149, min=1, step=5)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from ipywidgets import widgets, fixed\n", "k_slider = widgets.IntSlider(min=1, max=149, step=5)\n", "display(k_slider)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The number displayed on the right automatically changes as you drag the slider. We can set a minimum and maximum value, as well as a step, to this rank slider." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To render the image dynamically, we need to use [`widgets.interact()`](https://ipywidgets.readthedocs.io/en/stable/examples/Using%20Interact.html) which takes a plotting function as input. When we change $k$ by dragging the slider, this plotting function will be re-executed with the new value of $k$, therefore, the image will be updated.\n", "\n", "Below is the plotting function `approximate()` to work with `widgets.interact()`. It takes a reduced rank $k$, an image array and its SVD components as arguments. The SVD components are explicitly passed in so that we only compute SVD once." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "def approximate(k, u, s, vt, image):\n", " u_k = u[:,:k]\n", " s_k = s[:k]\n", " vt_k = vt[:k,:]\n", " copy = numpy.round(u_k @ numpy.diag(s_k) @ vt_k)\n", " diff = image - copy\n", " fig = pyplot.figure(figsize=(4,2))\n", " ax1 = pyplot.subplot(121)\n", " ax1.imshow(copy, cmap='gray')\n", " ax1.set_title('compressed image'.format(k))\n", " ax2 = pyplot.subplot(122)\n", " ax2.imshow(image, cmap='gray')\n", " ax2.set_title('original image'.format(k))\n", " \n", " ratio = image.size / (u_k.size + s_k.size + vt_k.size)\n", " norm = numpy.linalg.norm(diff)\n", " pyplot.subplots_adjust(top=0.85)\n", " fig.suptitle('$k = {}$, compression ratio = {:.2f}, norm = {:.2f}'\n", " .format(k, ratio, norm), fontsize=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To quantify the quality of the compressed image, we calculate the Frobenius norm of the difference matrix between the original image and the compress image using `numpy.linalg.norm()`. A smaller norm indicates a better compression quality.\n", "\n", "Finally, we call the `.interact()` function and pass in the plotting function and our slider. Try changing $k$ to see how it affects the image quality, the Frobenius norm of the difference matrix and the compression ratio." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "249dbd1175cd4dc9b02e12e1b011dc9f", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=1, description='k', max=149, min=1, step=5), Output()), _dom_classes=('w…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "widgets.interact(approximate, k=k_slider, u=fixed(U),\n", " s=fixed(S), vt=fixed(VT), image=fixed(image));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Nonsquare matrices\n", "\n", "So far, we have only talked about square matrices. A $2\\times 2$ matrix transforms a 2D vector to another 2D vector, and a $3\\times 3$ matrix transforms a 3D vector to another 3D vector. What about the nonsquare ones, for example, a $3 \\times 2$ matrix $A = \\begin{bmatrix} 1 & 0 \\\\ 1 & 1 \\\\ 2 & 3\\end{bmatrix}$ ?\n", "\n", "In the first lesson, we discussed that the matrix-vector multiplication $A\\mathbf{x}$ is a linear combination of the columns of $A$ scaled by the components of $\\mathbf{x}$. Since $A$ has two columns, $\\mathbf{x}$ should have two components. Each column of $A$ is a 3D vector, therefore, the linear combination of the columns $A\\mathbf{x}$ should also be a 3D vector. Yes, this matrix $A$ transforms a 2D vector into a 3D vector.\n", "\n", "If we use $\\mathbf{i}$ and $\\mathbf{j}$ to denote the standard basis vectors. The first column corresponds to the vector where $\\mathbf{i}$ lands after the transformation, and the second column is where $\\mathbf{j}$ lands:\n", "$$\n", "\\mathbf{i} = \\begin{bmatrix} 1 \\\\ 0 \\end{bmatrix} \\Rightarrow \\begin{bmatrix} 1 \\\\ 1 \\\\ 2 \\end{bmatrix} \\\\\n", "\\mathbf{j} = \\begin{bmatrix} 0 \\\\ 1 \\end{bmatrix} \\Rightarrow \\begin{bmatrix} 0 \\\\ 1 \\\\ 3 \\end{bmatrix}\n", "$$\n", "\n", "so a vector $\\mathbf{x} = \\begin{bmatrix} x \\\\ y \\end{bmatrix}$ will land in $ A\\mathbf{x} = x \\cdot \\begin{bmatrix} 1 \\\\ 1 \\\\ 2 \\end{bmatrix} + y \\cdot \\begin{bmatrix} 0 \\\\ 1 \\\\ 3 \\end{bmatrix}$.\n", "\n", "##### Key idea:\n", "\n", "> An $m\\times n$ nonsquare matrix transforms an $n$-dimensional vector to an $m$-dimensional vector.\n", "\n", "Matrix-matrix multiplication represents the composition of two linear transformations. For nonsquare matrices, we need to make sure that the dimension of the transformed vector of the previous transformation matches the dimension of the input vector of the next transformation. If matrix $A$ is $m\\times n$, matrix $B$ is $n\\times p$, the matrix product $AB$ is $m \\times p$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### SVD in general\n", "\n", "In fact, SVD also exists for nonsquare matrices. An $m \\times n$ matrix $M$ can be factorized as:\n", "\n", "$$\n", "\\underset{m\\times n}M = \\underset{m\\times m}U\\,\\, \\underset{m\\times n}S\\,\\,\n", "\\underset{n\\times n}{V^T}\n", "$$\n", "\n", "$U$ and $V$ are orthogonal matrices, and they can be treated as rotation transformations. $S$ is an $m \\times n$ rectangular diagonal matrix and still represents a scaling transformation, but in contrast to square matrices, $S$ now transforms an $n$-dimensional vector to an $m$-dimensional vector.\n", "\n", "We can use the same built in function `numpy.linalg.svd()` to decompose rectangular matrices. Take the following $3\\times 4$ matrix as an example:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "M = numpy.array([[1, 3, 4, 4],\n", " [2, 5, 7, 10],\n", " [3, 4, -1, 0]], dtype=float)\n", "u, s, vt = numpy.linalg.svd(M)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's check the shape of each component." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(3, 3) (3,) (4, 4)\n" ] } ], "source": [ "print(u.shape, s.shape, vt.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The second return value `s` is a vector, it only keeps the diagonal elements of $S$. In the example above, we used `numpy.diag(s)` to construct $S$ for a square matrix. The same code won't work here because $S$ has to be a $3\\times 4$ matrix in this case, while `numpy.diag(s)` only creates a $3 \\times 3$ matrix. If you tried to use\n", "```Python\n", "u @ numpy.diag(s) @ vt\n", "```\n", "to reconstruct $M$, you would get the error message:\n", "```\n", "ValueError: shapes (3,3) and (4,4) not aligned: 3 (dim 1) != 4 (dim 0)\n", "```\n", "To fix it, first we need to create $S$ with the correct shape using `numpy.zeros_like()`, then fill the diagonal with the singular values." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "S = numpy.zeros_like(M, dtype=float)\n", "S[:len(s), :len(s)] = numpy.diag(s)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now reconstruct the rectangular matrix $M$ using the three components." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1., 3., 4., 4.],\n", " [ 2., 5., 7., 10.],\n", " [ 3., 4., -1., 0.]])" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "u @ S @ vt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pseudo-inverse\n", "\n", "From the previous notebook, we treat a matrix's inverse as the reverse linear transformation that brings the transformed vectors back to their original coordinates. So far, we have only considered square matrices, and only the ones with full rank have an inverse. What about the inverse of a rectangular matrix? Have a try using the built-in function `numpy.linalg.inv()`.\n", "\n", "\n", "The inverse of a nonsquare matrix does not exist. You can think of a nonsquare matrix as the coefficient matrix of a linear system of equations. Since the number of equations is not equal to the number of unknowns, there is no unique solution to the system, thus we cannot find the inverse of a nonsquare matrix.\n", "\n", "Despite lack of an inverse, nonsquare matrices do have a generalized form of inverse, called *pseudo-inverse*. It satisfies weaker conditions than the standard inverse and exists for all rectangular matrices. The idea of this generalized inverse is closed related to SVD. Given the SVD of an $m \\times n$ matrix $M = U \\, S\\, V^T$, the pseudo-inverse $M^\\dagger$ is defined as:\n", "\n", "$$\n", "\\underset{n\\times m}M^\\dagger = \\underset{n\\times n}V \\,\\, \\underset{n\\times m}{S^\\dagger} \\,\\, \\underset{m\\times m}{U^T}\n", "$$\n", "\n", "where $S^\\dagger$ comes from $S$ by taking the reciprocal of the nonzero diagonal elements of $S$, all other elements in $S^\\dagger$ are zero. If the diagonal elements of $S$ are $(s_1, s_2, \\dots, s_r, 0, \\dots, 0)$, the diagonal elements of $S^\\dagger$ are $(\\frac{1}{s_1}, \\frac{1}{s_2}, \\dots, \\frac{1}{s_r}, 0, \\dots, 0)$, where $r$ denotes the number of nonzero singular values.\n", "\n", "When multiplying $M$ by $M^\\dagger$, we get:\n", "\n", "$$\n", "\\begin{align*}\n", "M M^\\dagger &= U S V^T V S^\\dagger U^T\n", "\\end{align*}\n", "$$\n", "\n", "Recall that $U$ and $V$ are orthogonal matrices, therefore, $UU^T = I$ and $VV^T = I$. In addition, the nonzero diagonal elements of $S$ are the reciprocals of the diagonal of $S^\\dagger$. The product $MM^\\dagger$ is as close as we can get to identity matrix $I$, hence $M^\\dagger$ is the generalized inverse of $M$. \n", "\n", "NumPy offers the built in function [`numpy.linalg.pinv()`](https://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.pinv.html) to calculate the pseudo-inverse of a given matrix." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-1.42643764e-01 6.57206871e-02 1.27707244e-01]\n", " [ 2.65870052e-01 -1.12023898e-01 1.23226288e-01]\n", " [ 6.35548917e-01 -2.50933532e-01 -1.23973114e-01]\n", " [-5.49290515e-01 3.18521285e-01 -3.73412995e-04]]\n" ] } ], "source": [ "M_inv = numpy.linalg.pinv(M)\n", "print(M_inv)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Challenge:\n", "\n", "> Use the SVD components to construct the pseudo-inverse of a nonsquare matrix, and compare it with the result from using the built in function `numpy.linalg.pinv()`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Application to linear least squares\n", "\n", "A popular application of psuedo-inverse is solving linear *least square* problems. The *least square* method offers a way to \"solve\" an *overdetermined* linear system of equations, where there are more equation than unknowns in the system. The following linear system is overdetermined:\n", "\n", "$$\n", "\\begin{align*}\n", "2x + y &= -1 \\\\\n", "3x - y &= 2 \\\\\n", "x - y &= -1\n", "\\end{align*}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Drawing the lines on the same plot below, you will find that there is no exact solution that can satisfy all three equations." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = numpy.array([-1, 1])\n", "pyplot.figure(figsize=(2,2))\n", "pyplot.plot(x, -1-2*x, lw=0.8)\n", "pyplot.plot(x, 3*x-2, lw=0.8)\n", "pyplot.plot(x, x+1, lw=0.8);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But can we find a pair of $x$ and $y$ that will make the left hand side (LHS) and the right hand side (RHS) as close as possible? In other words, can we come up with an approximate solution to this linear system?\n", "\n", "In the study of the shape of the earth and celestial orbits, Gauss and Legendre answered this question by proposing the *least squares* approach which minimizes the sum of the square of the residuals, the difference between LHS and RHS, of each equation.\n", "\n", "In our case, the least squares method is to find $x$ and $y$ that minimizes the sum $S(x,y) = (2x + y + 1)^2 + (3x - y - 2)^2 + (x - y + 1)^2$. You might have learnt in your calculus class that you can set partial derivatives to zero to find this saddle point, but today we would like to solve using a neat feature of pseudo-inverse. For an overdetermined linear system $A\\mathbf{x} = \\mathbf{b}$, the least squares solution is given by:\n", "\n", "$$\n", "\\mathbf{x} = A^\\dagger \\, \\mathbf{b} = V S^\\dagger U^T \\, \\mathbf{b}\n", "$$\n", "\n", "where $A^\\dagger$ is the pseudo-inverse of the coefficient matrix $A$.\n", "\n", "With pseudo-inverse built in function, we can obtain the least squares solution to the linear system above." ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.13157895 -0.57894737]\n" ] } ], "source": [ "A = numpy.array([[2, 1],\n", " [3, -1],\n", " [1, -1]])\n", "b = numpy.array([-1, 2, -1])\n", "A_inv = numpy.linalg.pinv(A)\n", "x_ls = A_inv @ b\n", "print(x_ls)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This pair of $x$ and $y$ minimizes the sum of the squared residuals." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Optional: using SymPy\n", "\n", "If you still prefer to solve this linear least squares problem in a \"calculus\" way, below is how we compute the solution in a symbolic manner using `sympy` functions." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "import sympy\n", "sympy.init_printing(use_latex = 'mathjax') #configures the display of mathematics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, define symbol `x`, `y` and the sum as an expression of $x$ and $y$." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\\left(x - y + 1\\right)^{2} + \\left(2 x + y + 1\\right)^{2} + \\left(3 x - y - 2\\right)^{2}$$" ], "text/plain": [ " 2 2 2\n", "(x - y + 1) + (2⋅x + y + 1) + (3⋅x - y - 2) " ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x, y = sympy.symbols('x y')\n", "sum_ls = (2*x+y+1)**2 + (3*x-y-2)**2 + (x-y+1)**2\n", "sum_ls" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then, use `sympy.diff()` to calculate the symbolic partial derivatives." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "dsdx = sympy.diff(sum_ls, x)\n", "dsdy = sympy.diff(sum_ls, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we use `sympy.solve()` to solve the linear system generated from equating the derivates to zero. The solution matches the one from using pseudo-inverse." ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\\left \\{ x : \\frac{5}{38}, \\quad y : - \\frac{11}{19}\\right \\}$$" ], "text/plain": [ "⎧ -11 ⎫\n", "⎨x: 5/38, y: ────⎬\n", "⎩ 19 ⎭" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sympy.solve((dsdx, dsdy), x, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Linear regression with SVD\n", "\n", "Least squares method is often used for data fitting. Given a set of data, we aim to find the best-fitting curve by minimizing the sum of the squared residuals of the data points from the curve. In this section, we grab the land temperature anomaly data over years from the NOAA (National Oceanic and Atmospheric Administration) website, and our task is to fit the trend with a straight line using SVD." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "('land_global_temperature_anomaly-1880-2016.csv',\n", " )" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from urllib.request import urlretrieve\n", "URL = 'http://go.gwu.edu/engcomp1data5?accessType=DOWNLOAD'\n", "fname = 'land_global_temperature_anomaly-1880-2016.csv'\n", "urlretrieve(URL, fname)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To start, we use the function `numpy.loadtxt()` to load the data to NumPy arrays. Here, we'll save the data into the arrays `year` and `temp_anomaly`. " ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(137,) (137,)\n" ] } ], "source": [ "year, temp_anomaly = numpy.loadtxt(fname, delimiter=',', skiprows=5, unpack=True)\n", "print(year.shape, temp_anomaly.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us take a look at the trend." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#You can set the size of the figure by doing:\n", "pyplot.figure(figsize=(3,2))\n", "\n", "#Plotting\n", "pyplot.plot(year, temp_anomaly, linestyle='-', linewidth=0.5) \n", "pyplot.title('Land global temperature anomalies.')\n", "pyplot.xlabel('Year')\n", "pyplot.ylabel('Land temperature anomaly [°C]');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are 137 temperature anomaly data points which span from year 1880 to year 2016. Our task is to model the trend with a straight line: $t = b + k y$, where $t$ represents the temperature anomaly, $y$ denotes the year, $b$ and $k$ are the intercept and the slope of the fitted line respectively.\n", "\n", "The linear system consisting of 137 data points looks like:\n", "\n", "$$\n", "\\begin{align*}\n", "b + k y_1 &= t_1 \\\\\n", "b + k y_2 &= t_2 \\\\\n", " \\vdots \\\\\n", "b + k y_{137} &= t_{137}\n", "\\end{align*}\n", "$$\n", "\n", "This is an overdetermined system with 137 equations and 2 unknowns ($k$ and $b$). Let us define\n", "\n", "$$\n", "A = \\begin{bmatrix} 1 & y_1 \\\\\n", " 1 & y_2 \\\\\n", " \\vdots & \\vdots \\\\\n", " 1 & y_{137} \\end{bmatrix} \n", "$$\n", "\n", "$$\\mathbf{x} = \\begin{bmatrix} b \\\\ k \\end{bmatrix}$$\n", "\n", "$$\n", "\\mathbf{t} = \\begin{bmatrix} t_1 \\\\\n", " t_2 \\\\\n", " \\vdots \\\\\n", " t_{137} \\end{bmatrix} \n", "$$\n", "\n", "Let's build matrix $A$." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "A = numpy.zeros((137,2))\n", "A[:,0] = 1\n", "A[:,1] = year" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The matrix form of this overdetermined system is $A \\mathbf{x} = \\mathbf{t}$. Therefore, the least squares solution is given by $\\mathbf{x} = A^\\dagger \\mathbf{t}$." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "A_inv = numpy.linalg.pinv(A)\n", "x_ls = A_inv @ temp_anomaly\n", "b, k = x_ls" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we can plot the linear fit of the temperature anomalies together with the orginal data." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.figure(figsize=(3,2))\n", "pyplot.plot(year, temp_anomaly, linestyle='-', linewidth=0.5, label='real data')\n", "pyplot.plot(year, b + k*year, linestyle='--', linewidth=0.5, label='linear fit')\n", "pyplot.title('Land global temperature anomalies.')\n", "pyplot.xlabel('Year')\n", "pyplot.ylabel('Land temperature anomaly [°C]')\n", "pyplot.legend();" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Execute this cell to load the notebook's style sheet, then ignore it\n", "from IPython.core.display import HTML\n", "css_file = '../style/custom.css'\n", "HTML(open(css_file, \"r\").read())" ] } ], "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }