{ "metadata": { "name": "Projection_mdim" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Projection in Multiple Dimensions\n", "-----------------------------------------\n", "\n", "In this section, we extend from the [one-dimensional subspace](http://python-for-signal-processing.blogspot.com/2012/11/the-projection-concept.html) to the more general two-dimensional subspace. This means that there are two vectors, $\\mathbf{v}_1$ and $\\mathbf{v}_2$ that are not colinear and that span the subspace. In the previous case, we had only one vector ( $\\mathbf{v}$), so we had a one-dimensional subspace, but now that we have two vectors, we have a two-dimensional subspace (i.e. a plane). The extension from the two-dimensional subspace to the *n*-dimensional subspace follows the same argument but introduces more notation than we need so we'll stick with the two-dimensional case for awhile. For the two-dimensional case, the optimal MMSE solution has the form\n", "\n", "$$\\hat{\\mathbf{y}} = \\alpha_1 \\mathbf{v}_1 + \\alpha_2 \\mathbf{v}_2 \\in \\mathbb{R}^m$$\n", "\n", "where $\\mathbf{y}$ exists in the m-dimensional space of real numbers. We want to project this vector onto the two m-dimensional $\\mathbf{v}_i$ vectors. Here, the orthogonality requirement extends as\n", "\n", "$$\\langle \\mathbf{y} - \\alpha_1 \\mathbf{v}_1 -\\alpha_2 \\mathbf{v}_2 , \\mathbf{v}_1\\rangle= 0$$ \n", "\n", "and \n", "\n", "$$\\langle \\mathbf{y} - \\alpha_1 \\mathbf{v}_1 -\\alpha_2 \\mathbf{v}_2 , \\mathbf{v}_2\\rangle= 0$$ \n", "\n", "Recall that for vectors, we have\n", "\n", "$$\\langle \\mathbf{x} , \\mathbf{y}\\rangle = \\mathbf{x}^T \\mathbf{y} \\in \\mathbb{R}$$\n", "\n", "This leads to the linear system of equations:\n", "\n", "$$\\begin{eqnarray}\n", "\\langle \\mathbf{y}, \\mathbf{v}_1\\rangle = & \\alpha_1 \\langle \\mathbf{v}_1, \\mathbf{v}_1\\rangle & +\\alpha_2 \\langle \\mathbf{v}_1, \\mathbf{v}_2\\rangle \\\\\\\\\n", "\\langle \\mathbf{y}, \\mathbf{v}_2\\rangle = & \\alpha_1 \\langle \\mathbf{v}_1, \\mathbf{v}_2\\rangle & +\\alpha_2 \\langle \\mathbf{v}_2, \\mathbf{v}_2\\rangle \n", "\\end{eqnarray}\n", "$$\n", "\n", "which can be written in matrix form as\n", "\n", "$$\\left[ \\begin{array}{c}\n", "\\langle \\mathbf{y}, \\mathbf{v}_1\\rangle \\\\\\\\\n", "\\langle \\mathbf{y}, \\mathbf{v}_2\\rangle \\\\\\\\\n", "\\end{array} \\right] = \n", "\\left[ \\begin{array}{cc}\n", "\\langle \\mathbf{v}_1, \\mathbf{v}_1\\rangle & \\langle \\mathbf{v}_1, \\mathbf{v}_2\\rangle \\\\\\\\\n", "\\langle \\mathbf{v}_1, \\mathbf{v}_2\\rangle & \\langle \\mathbf{v}_2, \\mathbf{v}_2\\rangle \\\\\\\\\n", "\\end{array} \\right] \\left[\n", "\\begin{array}{c}\n", "\\alpha_1 \\\\\\\\\n", "\\alpha_2 \\\\\\\\\n", "\\end{array} \\right]$$ \n", "\n", "which can be further reduced by stacking the columns into \n", "\n", "$$\\mathbf{V} = \\left[ \\mathbf{v}_1, \\mathbf{v}_2 \\right] \\in \\mathbb{R}^{m \\times 2}$$\n", "\n", "and \n", "\n", "$$\\boldsymbol{\\alpha}= \\left[ \\alpha_1, \\alpha_2\\right]^T \\in \\mathbb{R}^{2}$$\n", "\n", "which gives\n", "\n", "$$\\mathbf{V}^T \\mathbf{y} = (\\mathbf{V}^T \\mathbf{V}) \\boldsymbol{\\alpha}$$\n", "\n", "Note that by writing this using vector notation, we have implicitly generalized beyond two dimensions since there is nothing to stop from stacking $\\mathbf{V}$ with more column vectors to create a larger subspace. By solving we obtain,\n", "\n", "$$\\boldsymbol{\\alpha} = (\\mathbf{V}^T \\mathbf{V})^{-1} \\mathbf{V}^T \\mathbf{y}$$ \n", "\n", "and so the optimal solution is then,\n", "\n", "$$\\hat{\\mathbf{y}} = \\mathbf{V} \\boldsymbol{\\alpha} \\in \\mathbb{R}^m$$ \n", "\n", "Note that the existence of the inverse is guaranteed by the non-co-linearity of the $\\mathbf{v}_i$ vectors. Whether or not that inverse is numerically stable is another issue.\n", "\n", "Then, we can combine these to obtain\n", "\n", "$$\\hat{\\mathbf{y}} = \\mathbf{V} (\\mathbf{V}^T \\mathbf{V})^{-1} \\mathbf{V}^T \\mathbf{y}$$ \n", "\n", "when then makes the projection operator for this case:\n", "\n", "$$\\mathbf{P}_{V}= \\mathbf{V} (\\mathbf{V}^T \\mathbf{V})^{-1} \\mathbf{V}^T \\in \\mathbb{R}^{m \\times m}$$ \n", "\n", "As a quick check, we can see this reduce to the 1-dimensional case by setting\n", "\n", "$$\\mathbf{V}= \\mathbf{v} \\in \\mathbb{R}^m$$\n", "\n", "so then,\n", "\n", "$$\\mathbf{P}_{v}= \\mathbf{v} \\frac{1}{\\mathbf{v}^T \\mathbf{v}} \\mathbf{v}^T$$ \n", "\n", "which matches our [previous result](http://python-for-signal-processing.blogspot.com/2012/11/the-projection-concept.html). The point of all these manipulations is that we can construct another projection operator with all the MMSE properties we had before, but now in a bigger subspace. We can further verify the idempotent property of projection matrices by checking that\n", "\n", "$$\\mathbf{P}_V \\mathbf{P}_V = \\mathbf{P}_V$$\n", "\n", "The following graphic shows that when we project the three dimensional $\\mathbf{y}$ vector onto the plane, which is spanned by the two $\\mathbf{v}_i$ vectors, we obtain the MMSE solution where the sphere is tangent to the plane. The point of tangency is the point $\\hat{\\mathbf{y}}$ which is the MMSE solution." ] }, { "cell_type": "code", "collapsed": false, "input": [ "#http://stackoverflow.com/questions/10374930/matplotlib-annotating-a-3d-scatter-plot\n", "\n", "from mpl_toolkits.mplot3d import proj3d\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "fig = plt.figure()\n", "fig.set_size_inches([8,8])\n", "\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "ax.set_aspect(1)\n", "ax.set_xlim([0,2])\n", "ax.set_ylim([0,2])\n", "ax.set_zlim([0,2])\n", "ax.set_aspect(1)\n", "ax.set_xlabel('x-axis',fontsize=16)\n", "ax.set_ylabel('y-axis',fontsize=16)\n", "ax.set_zlabel('z-axis',fontsize=16)\n", "\n", "y = matrix([1,1,1]).T \n", "V = matrix([[1,0.25], # columns are v_1, v_2\n", " [0,0.50],\n", " [0,0.00]])\n", "\n", "alpha=inv(V.T*V)*V.T*y # optimal coefficients\n", "P = V*inv(V.T*V)*V.T\n", "yhat = P*y # approximant\n", "\n", "\n", "u = np.linspace(0, 2*np.pi, 100)\n", "v = np.linspace(0, np.pi, 100)\n", "\n", "xx = np.outer(np.cos(u), np.sin(v))\n", "yy = np.outer(np.sin(u), np.sin(v))\n", "zz = np.outer(np.ones(np.size(u)), np.cos(v))\n", "\n", "sphere=ax.plot_surface(xx+y[0,0], yy+y[1,0], zz+y[2,0], \n", " rstride=4, cstride=4, color='gray',alpha=0.3,lw=0.25)\n", "\n", "ax.plot3D([y[0,0],0],[y[1,0],0],[y[2,0],0],'r-',lw=3)\n", "ax.plot3D([y[0,0]],[y[1,0]],[y[2,0]],'ro')\n", "\n", "ax.plot3D([V[0,0],0],[V[1,0],0],[V[2,0],0],'b-',lw=3)\n", "ax.plot3D([V[0,0]],[V[1,0]],[V[2,0]],'bo')\n", "ax.plot3D([V[0,1],0],[V[1,1],0],[V[2,1],0],'b-',lw=3)\n", "ax.plot3D([V[0,1]],[V[1,1]],[V[2,1]],'bo')\n", "\n", "ax.plot3D([yhat[0,0],0],[yhat[1,0],0],[yhat[2,0],0],'g--',lw=3)\n", "ax.plot3D([yhat[0,0]],[yhat[1,0]],[yhat[2,0]],'go')\n", "\n", "\n", "x2, y2, _ = proj3d.proj_transform(y[0,0],y[1,0],y[2,0], ax.get_proj())\n", "ax.annotate(\n", " \"$\\mathbf{y}$\", \n", " xy = (x2, y2), xytext = (-20, 20), fontsize=24,\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'yellow', alpha = 0.5),\n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", "\n", "x2, y2, _ = proj3d.proj_transform(yhat[0,0],yhat[1,0],yhat[2,0], ax.get_proj())\n", "ax.annotate(\n", " \"$\\hat{\\mathbf{y}}$\", \n", " xy = (x2, y2), xytext = (-40, 10), fontsize=24,\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'yellow', alpha = 0.5),\n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", "\n", "x2, y2, _ = proj3d.proj_transform(V[0,0],V[1,0],V[2,0], ax.get_proj())\n", "ax.annotate(\n", " \"$\\mathbf{v}_1$\", \n", " xy = (x2, y2), xytext = (120, 10), fontsize=24,\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'yellow', alpha = 0.5),\n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", "\n", "x2, y2, _ = proj3d.proj_transform(V[0,1],V[1,1],V[2,1], ax.get_proj())\n", "ax.annotate(\n", " \"$\\mathbf{v}_2$\", \n", " xy = (x2, y2), xytext = (-30, 30), fontsize=24,\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'yellow', alpha = 0.5),\n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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+CXd39ym/n3zteBTfMSaY8xySgiWRoG1vpVarBc/zUKlUD+TYs5grZcn7Q+z/nDVOP2yU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9veHp6Ymf/vSnVsewFywB88+b38PkE4EIKYyfffI3WXzikMFg+MKJQ/f9MO9xmHb6WjCMwCa5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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Weighted Distances" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As before, we can easily extend this projection operator to cases where the measure of distance between $\\mathbf{y}$ and the subspace $\\mathbf{v}$ is weighted (i.e. non-uniform). We can accomodate these weighted distances by re-writing the projection operator as\n", "\n", "$$\\mathbf{P}_{V} = \\mathbf{V} ( \\mathbf{V}^T \\mathbf{Q V})^{-1} \\mathbf{V}^T \\mathbf{Q}$$\n", "\n", "where $\\mathbf{Q}$ is positive definite matrix. Earlier, we started with a point $\\mathbf{y}$ and inflated a sphere centered at $\\mathbf{y}$ until it just touched the plane defined by $\\mathbf{v}_i$ and this point was closest point on the subspace to $\\mathbf{y}$. In the general case with a weighted distance except now we inflate an ellipsoid, not a sphere, until the ellipsoid touches the line.\n", "\n", "The code and figure below illustrate what happens using the weighted $\\mathbf{P}_v$. It is basically the same code we used above. You can download the IPython notebook corresponding to this post and try different values on the diagonal of $\\mathbf{Q}$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d import proj3d\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "fig = plt.figure()\n", "fig.set_size_inches([8,8])\n", "\n", "ax = fig.add_subplot(111, projection='3d')\n", "ax.set_xlim([0,2])\n", "ax.set_ylim([0,2])\n", "ax.set_zlim([0,2])\n", "ax.set_aspect(1)\n", "ax.set_xlabel('x-axis',fontsize=16)\n", "ax.set_ylabel('y-axis',fontsize=16)\n", "ax.set_zlabel('z-axis',fontsize=16)\n", "\n", "y = matrix([1,1,1]).T \n", "V = matrix([[1,0.25], # columns are v_1, v_2\n", " [0,0.50],\n", " [0,0.00]])\n", "\n", "Q = matrix([[1,0,0],\n", " [0,2,0],\n", " [0,0,3]])\n", "\n", "P = V*inv(V.T*Q*V)*V.T*Q\n", "yhat = P*y # approximant\n", "\n", "\n", "u = np.linspace(0, 2*np.pi, 100)\n", "v = np.linspace(0, np.pi, 100)\n", "\n", "xx = np.outer(np.cos(u), np.sin(v))\n", "yy = np.outer(np.sin(u), np.sin(v))\n", "zz = np.outer(np.ones(np.size(u)), np.cos(v))\n", "\n", "xx,yy,yz=map(squeeze,split(tensordot(dstack([xx,yy,zz]),Q,axes=1),3,axis=2))\n", "\n", "ellipsoid=ax.plot_surface(xx+y[0,0], yy+y[1,0], zz+y[2,0], \n", " rstride=4, cstride=4, color='gray',alpha=0.3,lw=0.25)\n", "\n", "ax.plot3D([y[0,0],0],[y[1,0],0],[y[2,0],0],'r-',lw=3)\n", "ax.plot3D([y[0,0]],[y[1,0]],[y[2,0]],'ro')\n", "\n", "ax.plot3D([V[0,0],0],[V[1,0],0],[V[2,0],0],'b-',lw=3)\n", "ax.plot3D([V[0,0]],[V[1,0]],[V[2,0]],'bo')\n", "ax.plot3D([V[0,1],0],[V[1,1],0],[V[2,1],0],'b-',lw=3)\n", "ax.plot3D([V[0,1]],[V[1,1]],[V[2,1]],'bo')\n", "\n", "ax.plot3D([yhat[0,0],0],[yhat[1,0],0],[yhat[2,0],0],'g--',lw=3)\n", "ax.plot3D([yhat[0,0]],[yhat[1,0]],[yhat[2,0]],'go')\n", "\n", "x2, y2, _ = proj3d.proj_transform(y[0,0],y[1,0],y[2,0], ax.get_proj())\n", "ax.annotate(\n", " \"$\\mathbf{y}$\", \n", " xy = (x2, y2), xytext = (-20, 20), fontsize=24,\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'yellow', alpha = 0.5),\n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", "\n", "x2, y2, _ = proj3d.proj_transform(yhat[0,0],yhat[1,0],yhat[2,0], ax.get_proj())\n", "ax.annotate(\n", " \"$\\hat{\\mathbf{y}}$\", \n", " xy = (x2, y2), xytext = (40, 30), fontsize=24,\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'yellow', alpha = 0.5),\n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", "\n", "x2, y2, _ = proj3d.proj_transform(V[0,0],V[1,0],V[2,0], ax.get_proj())\n", "ax.annotate(\n", " \"$\\mathbf{v}_1$\", \n", " xy = (x2, y2), xytext = (120, 10), fontsize=24,\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'yellow', alpha = 0.5),\n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", "\n", "x2, y2, _ = proj3d.proj_transform(V[0,1],V[1,1],V[2,1], ax.get_proj())\n", "ax.annotate(\n", " \"$\\mathbf{v}_2$\", \n", " xy = (x2, y2), xytext = (-30, 30), fontsize=24,\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'yellow', alpha = 0.5),\n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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TlZXFf/zHf5CYmEhhYSEFBQUEBAQQFhbG+fPn+eSTT3zSDRctWoTJZGLDhg0M\nDAwQHR1NeXk5xcXFREdH841vfAOHwyH6E1mt1mndn0gWrRfDS8cMDQ2JSoMPAxMpg9rX18enn34q\n+u9kZGSQkpKC3W4nLCyMpqYm9u7dy1NPPcWcOXNob2+npqYGk8nEkiVLxNpoSUkJSqWSRYsWUVVV\nxXvvvUdubi5ZWVn09fXR1tZGfHw8KSkpXLhwgblz5/LUU08RFRUlUur2799PY2Mj+/bto7e3l0WL\nFrFixQqReKBQKGhsbOTpp5/m5MmTogp+VFQUc+bMoauri7NnzwKQkpJCUVERTz75JCEhIVRVVXHu\n3DkA9Ho9VqsVnU7HV7/6VQ4cOEBUVBTHjh0jKyuLsLAwnn76aVF2R8qAmq7NxWTz+P8zPEf2Xsue\njrb/e2WsplneI/HTTz9NUVERFouFgoICwsLCiImJQaFQUFlZSWdnJ1/5yleEJ1ehUBAXF0dkZCSl\npaVs27aN5ORkse+goCAOHTokBAm3qtRHREQwb9483G43DQ0NLFq0iL6+PmJiYti4cSNpaWls2rSJ\n9PR0Mbfu7+8nMzOTlpYWAJYvX05TUxP9/f1s2bKFc+fOcfXqVdFEee3atfT393Pw4EFxPlqtllWr\nVlFUVMTZs2f51a9+hclkEtcfGxtLUlISVquVwMBAAgMDGRgYIDk5me9///vifk3n5mLySPv/8c6R\nldY/J5JEPlk1oJxOJy6X67Zz6//zf/4Ps2bNYteuXTz//PPMnTuXtrY2UlNTOXfuHKGhoWRkZFBW\nVobVamXNmjVkZGRQWlqKQqHg6aef9nkYuru72b9/Pxs3buTKlSsAtLa20tvby4oVKwAoKysTP1dV\nVbF8+XKf65ZGscWLF4tObQsXLuTYsWMAbN68mS+++AK3283mzZs5d+4cO3bsYMWKFSQkJBASEsLs\n2bPZuXPniBHxxRdfZNWqVfz2t7/lypUr3LhxA7g1312yZAlarRaPx0NUVBRWq5UTJ07Q0NAgPi/F\nakv9icxm87ToTzRVhd0eKtEOz5GVsmUmq3TMeMKXlo1uZxb39vYKMzQ7O1uMlm63m9///vdkZ2dz\n8+ZNWltbWbt2LfPmzQPgypUrOBwOITyJzs5Oqquree6551iyZAnnzp3DZDJx+vRpMjIy0Gq1mEwm\nnE4nERER4jrUarUI9ezv78disWC1Wn2WXJKTk+np6QFuCWzDhg3s3bsXuCXo/v5+Ub7HarWSkJDA\n6tWr2bGKPcIiAAAgAElEQVRjh4j1lu7X7Nmz+frXv45CoWDnzp0+oszKyiI4OJg5c+Zw7tw5Nm/e\nzKuvvjri3kmRXgEBAWIKMlHxToX3+LEfaYebxVI5k4eldAwgqj3e7ov6y7/8S6xWK6mpqUKALS0t\n1NXVodPpMBqNLF68WPQudbvd7NixgyVLloxwanV2dlJTU+NTHWLt2rX89Kc/ZcuWLfT391NdXc2v\nfvUr9Ho9VVVV7Nq1i76+PioqKvj8888xGo1cuXIFo9FITU0NR44cYWBggIMHD1JdXQ3A22+/TVVV\nFQ0NDYSFhVFbW0ttbS1//ud/Tnl5OUNDQ+L4M2bMYNu2bezcuROz2exzvsHBwXzlK1/BZDJhs9lo\namoSn12wYIFIpGhvbyc9PZ2//uu/HvUeTpfmYo99lo+3WSyljXlny9yPhs/3Uk5mIt7ic+fOcfz4\ncb7xjW/Q3d1NYmIibrebDz74gJycHJqbm3nhhRfEF+12u3n//ffZsGGDyGGV6Onp4dixY6L6ocPh\n4Ny5c2JB/ze/+Q3R0dHEx8fjdDopKioCYPfu3Xz9618X+bVLly4lPDwctVqNVqslNTVVhFwuX74c\nlUrFrl27WL58OVarlbq6Ot5//31Wr15NdXU1WVlZ7Nq1yyfBXaPR8Mwzz7Bjx44RL1U/Pz9yc3Np\namoiOjqaEydOkJSUxOzZs8nMzKSjo4OLFy8yf/58UR0yPDx81Pvp3VxMCrDRarVT3p9I4rE2j0fr\nvyMtC0yUB/klSqbaeJ3o/uqv/orMzEyWLVsm1i/fffddZsyYQXZ2NjExMT6C3b59O0888QRhYWFi\nFLfb7RgMBg4fPszKlSuprKykoqKCmpoabDYbhYWFvPzyy6xYsYJr165RW1tLYWGhz32Qjm0wGIQg\nZs6cKeaaAQEBQrhwa6mmpqYGp9NJY2Mjb775JiaTiYKCAnQ6HeHh4ZSVlXHy5EmxxKNSqYiOjmZw\ncHDEiKtSqdi8eTPXrl1j3rx52Gw2qqqqANiwYQPXr18nOTlZmNTjIYlXq9WKAA1pDX8qeWy9x9Ly\nDtx64CwWyx3VVpoMpFImtwuRO3LkCAaDgddeew2DwYBer+d3v/sdfn5+LF68mIiICPGQud1u3nvv\nPbZt2yZSC7u6usjLy6O8vJxf/OIXREZGcvnyZZYvXy7WTG/cuCFS6TIyMtDr9Vy7do2BgQEAbty4\n4TNqeZ9veHi42M5b2AAJCQmcO3eO8vJynn32WYKCgsjJyeHIkSMkJCRQUlJCdnY23d3d1NTUUFlZ\nSV1dHSaTia997Wvs27fPpzrjnDlzaG5uJiMjg+rqamJjY0lPT+eLL77AZrORlpYmXkrd3d0cOXJk\n3O9Amqf7+/vj5+eHzWbDarVOaYDGYzunHa10zFiOngf9Zh3NESU5c8aLxPrmN7/J888/D8Dx48dp\nbGwkJCSE5ORkkS/r5+eHxWLhgw8+YMuWLSKTB26l3Q0MDFBeXs6f/umfUlxcTE5OjrA29u3bJ7oF\nSAwODvLnf/7nnDx5kt27d1NZWUleXp7P9UhIObRw6z6GhITQ09NDa2srn3zyCbGxsSQnJ4vjJSUl\nYTabhdDDwsKIiooiKCiIoqIi1Go1HR0dHDt2jA0bNrBr1y4xCs+cORODwQDAE088QVlZGXq9nlWr\nVlFZWcmMGTOIj4/n8OHDrFu3jr/8y7+cyNcjrknKDVar1SK6aip4LEU7VumY4SPaREzfB1FOZngZ\n1LE+/93vfpfw8HBRHqayspKZM2eybds27Ha7WLKKiYnh97//PWvWrBEjbEtLCwcOHKC3t5ehoSGe\nfPJJurq6fPZ/6NAh8vLyfKYLTU1NREREoFQqKSkpYf369bS3t7N//37KysowGo0jzlW6j1JFjO3b\nt9Pf389TTz3F5s2bxXKSxLp16zhw4ABwa9TOyckRSQENDQ288sor5Ofnc+HCBUJDQ/nwww997p3U\nfvLJJ5/ks88+Q6FQsHbtWgYHB+nq6qKgoECk+P3yl7+c8PciXYskXum+SKV3Jgsp2myymVLRSmaa\ntLAulY55WJjIOXV2dlJWViYcQfv378flcvHMM88AvtbBlStXmDlzJpGRkbS3t1NWVobT6WT16tUM\nDg6SkZFBcXEx9fX14jM9PT3YbDaSkpJ8jnvhwgVSUlLE/7vdbhYsWMATTzzB0qVLOXnyJA0NDezf\nv1/8a2pqEmVQN2zYQHp6ukh2B8R5SSgUChYuXMjx48dF7Pf69evZu3evqEqpVqtZtmwZa9asISoq\nip/97GdYLBafF62fnx9PPPEEu3fvBmDbtm309PTQ1dVFSEgIiYmJ/OY3v7mTr8bnHKXRzrsy52SI\n97HsMCCtGTocDp8RaaxtJ9PxMJFzAnj++edJTU2loKCA2tpaLl++LExUu90uRoHq6moSExPxeDyU\nlZWJwuRpaWnU19ejVqtFYH92drZIHj98+LBPmRm4FVgRFxfncz8kTzFAYGAgK1euZN68eWzcuFH8\nS0tLY8OGDSQlJaFSqUZYNEuWLBHhihKpqal0d3ej0+kYHBxEqVQKs9QbpVLJmjVrWL9+Pdu3b6e5\nudlHOHq9nry8PMrKypgxYwbz5s3j7NmzxMbG4u/vT0hICH/xF39x+y9lHKToKmBSoqumopE1PARz\nWqnk6J2WjhnO/UwYmGg5m+3btxMTE4NWq6WpqYnTp0+Lqv+AWNpobGzEbrdjs9no7OxkzZo1otaw\nwWCgrq7OJyczKSkJi8XCrl27yM3NHTE9OHPmjOivI2G328UDC7ce2rFMN2l/YWFhPqa45AAcLsiS\nkhLq6uoYGBigsrKS/Px8oqOjuXjx4oh9p6WlsXDhQvR6PRcuXKCtrU38LS4uTvQbUigUpKSk0NTU\nRHZ2NjabjdOnT9/zCDldo6vuhCkXrRTfOhlm8USFbbFYUKlU457Tz3/+c2bMmEF0dDTnz59n9erV\nooIF3JqjK5VKqqqqsNlsJCYmkpiY6CPCPXv28OSTT444r2XLlnHu3DliY2N9fn/jxg3Rg3b4tcEt\n8V67do3y8nKMRiNHjx6lqqqK6upq2traOH36NN3d3dy4cYPMzMwRI2txcTGHDh3y+Z1WqyU2Npbq\n6mqUSqVwrrW2to7a02fJkiX09fWJ2OODBw+KckGZmZn09/czODiITqcjJyeHxsZGYmJimD17Nt/+\n9rdve88nymjRVQ8iQGMq1ounVLTSDbwfscX3C2kh33vUGu0c/uEf/oH8/HwuX76MTqcjIiJCmLcS\nHo+HX/7yl6Snp7NhwwYiIiJISUkRI9S+fftYuXIlarV6xLWVlZXxxhtv8PHHH/uMPkeOHKGgoICL\nFy/S1tbGkSNHeO+99zCZTBw5coSTJ0+KB7SgoIC8vDwKCgpEEn5qair+/v709PRw4sQJWlpaqKqq\nEv9OnTpFX1/fiPNJT0/n0qVLIqYZYP369Xz++eej3se4uDjRyHr58uVUVFRw9epV4FZUV3t7O/Pn\nz+fixYusWLECnU5HQ0MDLS0t97Ucrnd0ldPpfGijq+6EKY2IUigUBAUFPTQpWVKQh+Qtvh1ffPEF\n//2//3eqqqowGo189atf9cktdTgc7N27l+eff94n4X3hwoXs3LkTlUpFcHAwsbGxWCwWn1FdavMR\nGBjI1q1b2b59O3PmzMFsNtPR0UFNTQ2pqakkJSVRWFjIrl27Ri34NnxEVqlUBAUFMWPGDDIyMlAq\nlZjNZgoKCkbcg+3bt5OYmIhSqcThcGAymcjKyuLcuXPCtNdoNKSlpXHq1CmxfiyhVCpZsGABZWVl\nbN68mVWrVnH27Fl6enrIzc1lzpw5HD58mBkzZqBSqVizZg2tra1otVr+1//6X/zjP/7jBL+1iTE8\nukqKZrqX6KqpEv6Um8f3i/ux5COtF49nFr/11lvk5OSIjJeCggIfkRuNRn7961+TlpbmI1gJp9PJ\n2bNnhVh6enp8giLq6upISUmhsrKSkydPEhsbKwqKf+tb36KwsJDo6Gix/WiRY6O9dEYLCdXr9WJN\nVdpm5cqVBAcHU1hYiL+/Pzdu3CAoKAibzUZ1dbVPQINUD9nbTD5z5gxz5sxBp9MRFxcn8m2zsrKI\niYmhvLwcPz8/0aZEOo/o6Gj8/f05cuTIHb3I7yQ0VRKvVOB+OlbQmDaifdDmsdRVTqPRjPsA7N+/\nn9jYWC5fvsyCBQtISEgQf2tpaaGjowOn0zli9JMwmUw+jcB6e3uJjo7G6XTyq1/9CrVaTVNTE8uX\nL2fFihWsWbOGl156iStXrggBwH9Gk41WHOB21+D9t5ycHI4fPz5iG61Wy6effgrAs88+S3FxMcnJ\nyZSUlPC73/1O1EuGW46qL774Qny2vb2d2bNnA7cSBTo7OzGZTMCtteqlS5fS0NAgSrtK4ZWRkZGk\npKRgtVr5wx/+MOb53yvDo6vupvyN9KJ47Oa0DwuSl3G82GJAmHRms5nOzk5eeOEF8beLFy9iMBiw\n2WxkZmaKVDlvzp49S2Zmpk/mzI0bNzh58iQHDx4kJCSELVu2iNpMEseOHeP5558nKCiIHTt20N3d\njUKhoLq6mtzc3Aldp0KhGDGCjdYH6dSpUxiNRhQKhYjmkj6fmppKZGQkBQUFBAYGUlFRwalTp4iO\njqahoYH29nafFEG4JeqysjKxH6VSSUZGBjU1NWzcuJGPPvoIuLWem52dTWhoKO+8886EruleGC26\najpU0HhkRHsvI7GUZzpegoJCoeCtt95i9uzZot2jZIaeOnUKuOW9DQ0NHXX0czgcNDQ0kJOTw5Il\nS9ixYwfl5eX09vaycuVKDAYDGzZsEKGd3tdz48YN4uPjmTdvHs888wz19fUcP36c9vb2Ub3JoxEQ\nEOBjCktI13Dy5Ek+++wzAgICePrpp0dME6TzWbFiBQcOHGDWrFki3NLhcFBaWsrRo0fFerE0H1ap\nVCIpAW7Nt+fMmcPq1au5fPkyer2e8+fPExsby5UrV3jqqae4evXqiMiwB4W3eKdD+ZspF+1EzYsH\nVbjN5XJhtVon1EO1r68Pg8FAVlYWFRUVYr566tQp9Ho9ycnJdHV1ER8fP2qZnNLSUjZv3kxXVxeN\njY3cuHGDoqIiEhMT6e3tJSAgwKems8PhwOVy0dnZ6TPnVSgUQiwGg4Hdu3ezd+9ebt686bPNcEJC\nQujv7/f5XUNDAxcvXmTPnj2EhYWxdetWsWYcGxtLa2vriH0GBwfjcDiE402j0VBQUMCiRYu4cuUK\nFRUV2Gw2IiIiRJJ9UlISBoMBo9FId3c3s2bNAqCoqAiNRsOFCxeIiYmhvb2dqKgokpKSePPNN2/7\nfdxv7rT8zVSlBz40+bRTgWQWS9Uxxnsx/PSnPyU6OppLly6RmpqKUqnk3LlzaLVa0tLS2L59O08/\n/TSDg4N89tlnrFmzRny2qamJ4OBgjh07RmhoKGvXrqWgoIDdu3czc+ZMysrKeO6558RcSalUilKq\nR48eZevWrT7nIj1M6enprF69GpvNRm1trajTVF9fL1LHpLVKKSPI7XbT39+PQqEgMTGRLVu2YLfb\nR4RKLlq0iD179ohwSe97U1RURHl5OevXrwdu+QQGBwfJysoiMzNTjKpS4XOA1atXi656w7OMzGYz\n+/fvJygoCIBvfOMb/O3f/u2dfqX3BSlAw8/PD4fDgdlsRqPR4Ofn91Dk8T4yor2bkVgaDSca9L13\n717+x//4H9TU1BAaGkpzczPx8fHMnz+fs2fPkpqaikajYebMmSMyT/bs2cOCBQtYsWKFMJ39/f1J\nSUnh8OHDLFy4EKVS6eMMkcQrxbc6nU5RdNzhcNDU1MRXv/pVcQ1S/HNfXx8hISEsW7YMm80mgjwW\nL15MTU0NWq2W/Px8MSVwu93s37+fjIyMEdfsPWXwfmClpTqn04larWbfvn2sXbsWPz8/9u3bx9at\nW7l58yY7d+4kMjKSxMREVCoV6enpI/r7hIeHk5yczN69e8X8Wq/XExgYyB//+EdefPHF234vD6rU\njFKpFOKVajl795CSl3zG4X57j6WicRMxiwH+8Ic/EB4ezvHjxykoKBA1l7KysnC73Vy6dEk4bbq6\nukSFi+vXr/PTn/6UlStXUlhYOGLevHDhQlF+ZTQOHz7MsmXLRMsLl8uF0+nEZrPhcrl80vskrly5\nIipNaLVawsLCCAkJITAwUDS99kZ6EYzG/PnzR/Uuw63R9uDBgxw9epS0tDT8/f1Rq9XExMTQ1tZG\ncHAws2fPxmw2U1FRIepYSTWtJFJTU7l69Sqvvvqq6A0EsHTpUn70ox+NeuzJZHj5G7PZzCeffCK+\ny29+85tERUX5dIXw5tChQwQHB7N48WIWL17M3//939/b+dzTp6cZw2OLJ9JLVuIPf/gDGRkZolQp\nIIq2lZaWsnbtWrHttWvXiIuLo6KigqamJpKSkny8sBJut5vW1lbmzZvHoUOHfDzKEkajUXhjpVFX\nqVRis9lQqVSjztGbm5sxGAycP3+eEydOcOzYMY4dO8aZM2fo6uqit7eXwcFBn8+O9eJKSEgQSzLD\njxUUFCScRd7RYFIBOmm/GRkZLF26lMrKSg4cOMArr7xCeXm52F6KCFMqlaSkpPDee+8BkJ+fL6yA\nhwFpjddut/PrX/+aixcv8uGHH/LSSy9RWlp628+uWLGC06dPc/r06Xueqz8y5jFM3FyR5oPD6z2N\ntiQCiLC+xsZG3njjDT766CNeeeUV9u7di8FgwOVyER4eLuJrJdO4vb0drVbLE088Meq5OhwOTp06\nRVpaGvn5+bz//vs888wzwvzq7e0VebfDPyt1ipe6tEuiUyqVGI1GwsPD0el0aLVaUcJUKramUCho\nbW0VVUIArl69SkVFBWq1moSEBOLi4nz2Odp9aW5uJiwsbNT447S0NJ81ZY1Gw6pVq/jNb35DQ0MD\ner2eGzduMHPmTHFNALNmzeLmzZucOHGC3NxcEhISeOutt9i4ceOIY0wVYWFhvP/++2zbto233nqL\n3NxcfvCDH9z2M/fTSpw2or1fdY3dbjdWq5WgoKAJf+bVV18lIyODgYEBTp06RUxMjHjYP//8c59q\niZ2dnTQ3N/PSSy/x7rvvEhsbO2oxOLfbTXt7OzExMcCtNcqvfOUrfPjhhzz55JPodDqqqqrYvHkz\nNpuNc+fO+Xikr1y5wvr168nMzBRLRFK6ncFgEPv1Rq1WM2PGDPR6vehiJ1kaKSkptLe3k5ubS3Nz\nM5WVlWIkDw4Opqqqyud+1dXVcf36dZ544glRdtWbtLQ0du3a5dMYu6uri/nz55OYmMjZs2eprq7m\nySefBHxfmIWFhRw5coTIyEiReXT16lWfIJapxuVyER0dze7du+nv78doNI65rbSenpWVRVxcHP/0\nT/80qv9gokwb0d4PpAii8ZpmDcdsNnP58mVWrVrl4yjq7e0lJSVF7KuhoYGBgQHS0tLw8/PDYDD4\nRD4NP4/Tp0/z7LPPcvjwYQB0Oh3PP/88H3/8sShwXlVVhVqtJisryyeJobm5mdDQUBHdI9WMdrvd\nt43sGevFFxMTw5kzZ1AqlcydO9fH3O3s7OTjjz8mJCQElUolqo2sWrUKuOVlPnbsmFiflVi4cCGH\nDh0ShefOnj0r2pwUFxfzwQcfUFtbK9IMJcsiLi6OwMBAUZ0jNjaWP/uzP2PXrl23/Z4mE6nUjEKh\nIDw8/Laizc7Opr29nYCAAPbv38+2bdtobGy862NP+Zx2Ml3oUvWF25VBHc6ePXuYNWsWBoOBrq4u\n9Hq9WMLo7OykuLgYuFUXyuVysWzZMrHksmzZMp98Ugmn00l/f/+IoAiLxcKxY8eIjo6mtLSUmJgY\niouLWb58+YisI4/H4/PikQIEpN85HI4xgwPGuudj/T42Npa5c+cSHx9PR0cHnZ2duFwukf8aFxdH\nX1/fiM9JSznStXk7vDQaDV//+tepra2lo6ODyMhILl68KBxo+fn5osZ0U1MTRqNxzOt52AuVBwUF\niUy2jRs3igLyd8uUi3aiTNQ8HmsbaXliIrHF3vz85z9n5syZKJVKioqK6OrqIjExkbq6OhFEf/To\nUcLCwoTJ4/F4uHDhArm5uSQlJYm2kNLfnE4nR48eZeXKlcCthIFDhw5x6tQplixZQlFREWlpacyf\nP5+PP/54xPKRFC01mhNNMnklT/OdpKHd7r6Eh4fz5Zdfsnr1ap555hkKCgpISEigsrKSyspKwsPD\nRx094uPjOXr0KIcPHx7RPQFgy5YtHD58GI/Hw+XLl4VoIyIiGBoaYvbs2XR3dzNv3jz+9V//dULX\nMRlIz9JE6O7uFt9BbW0tHo9nwlFsozFtRHuvDA0NoVKpbustHitiqqOjg5kzZ6LT6YSX88KFC2zY\nsIGPPvqIWbNmiQB5gMuXLwsBZ2dn+1R4sNvtorpjfX09ZWVlKJVKVq5cSUFBARqNBrfbLeJzt2zZ\nQllZmSiwBojoobGuRRKu5GmWkiHGG5Gkbb0xmUx89tlnuN1uUY1RIjQ0lKKiIlH0vLS0VERASQQH\nB9PV1TVmoYPExESCg4MZGBjAaDT6LD3l5OTQ39+P3W6nuLiYPXv2jHnuk413osYLL7zA8uXLaWho\nID4+nrfffptf/OIX/OIXvwBgx44dZGZmsmjRIt544w3ef//9ezr2YzGntdvtIgjgTtizZ4/IuZQc\nO263m/Pnz5Oenk5XVxcKhYL4+HjxGbfbTXd3t4+jYfHixRw5coScnBwUCgXvvvsuycnJBAYGUlhY\nyMmTJ32Oe/z4cRYsWADcMiO3bNnC9evX2blzJyEhIQwODhIfHz/m9XgLU3pRSaOuy+Uac+SdPXs2\n9fX1ZGZmYjKZOHjwIBqNhk2bNqFWqzlx4oR4oQw/Xm5uLmazmebmZurq6sjIyCAiIgKVSoXZbBad\n/kZD6khgsVhobW0VEVhSaZrExETKy8sfqhQ67+4C0hLVWLz++uu8/vrr9+3Y02akvdt82eE1qO7E\n9f773/8et9tNSUmJz+caGxsxm80kJib6jDxwKxhCaqolkZqayo0bN2htbeXQoUNotVrWr19PYmIi\nFotlxBy7p6dnhKc0Ojqabdu2kZ6eTlNTE8eOHfOJNfa+3tHwHnmHJyNIJCcnc/ToUXbv3s3Ro0dZ\nt24d69atEy8HqQH1WBQUFHDz5k1WrFhBe3s7FRUVokKFVD95NKKiohgYGCA4OJje3l6fipAZGRlY\nLBauX79ORkYGf/d3fzfmfiaTuxkE7heP/Eg7NDQk4kalddSJcvPmTXQ6HbNmzeL06dMYjUZu3LiB\nWq0mIiKCpKSkEQ9xU1MTmzZt8vmdzWZDq9Wyb98+srKyfPJsbTabj9koJeKPRXR0tBjFWltbqaur\nw+VyERUVRXZ2NgaDYdQoKfjPsEhppJReaMePHxeRUv7+/qOuK8Mtc1gKtBgNKWrL7XaTnZ1NX18f\nx44dIzw8nIyMjFErXEhERUXR0tLCkiVLqK6uRqfTMXPmTBITE3G5XMydOxePx0NFRcWYx59Mpqp8\nKjziopXM4tGWXUbDe6QeGhqitbVVhJwplUpaWlq4fv06xcXFzJkzB7jlaGlubiY1NZWzZ88SHh7u\nk0d74cIFurq6KC4uJikpidLSUp+SqHa73Ue01dXVo1a7kDAajfj7+6NQKFi2bJnofHDt2jUOHDhA\nR0cHSqWSgYEBcS3SdSmVShoaGlCr1QwMDIjRNycnh+DgYBQKxZg1n6R7MJ4Tb/HixRw7dozly5dz\n6NAhnnvuObq6umhtbaWvr29M0d68eVPch+XLl1NeXk5hYSE6nQ4/Pz/RKFtKmZuK0qXeTFV3AXgI\nzOMHlZrn8XgYGhryiS2+E6/xb37zG0JCQnyCFBoaGtDpdD4PXnZ2tvAOt7a2Eh0dTUBAADabjS+/\n/BJ/f3+KiorE78LDw328yTabzcc87uvr8+lQN5za2lqys7NHPLizZs1i3bp1JCQk8Mwzz7Bp0yY2\nb97M5s2bxc8bN24kPT2dRYsWsW7dOtauXcuqVasICgrySbUbC6VSSVRUlE+63nCioqIYHByktLSU\nwsJCgoOD8ff3Z/Xq1ajVaj777LNRP+d2u0lKShJNrlesWEFFRQVut5uEhASuX78uYnuHr9dOxZLP\nVDXfgodAtPeT4SOld0aGxESF//bbb/vEE0vrki+//LLPdtLSSmNjoyhG3tbWRkVFBatWrSIhIUEs\nwTQ1NfH1r39dlKQB3y9fimq6HUNDQyK0cbTRxmq1otPpGBgY4Pr161y9epXGxkZaWlq4du0aZrMZ\nq9XqMwpLI65CoSAwMJDr16+Pep9UKhVz584dNzCgv7+foKAgIiIiRENqgKeeegqbzUZ5ebnPMpZU\n7SIhIUF0qVer1eTl5XH06FE8Hg+zZs2ivr6eyMjI21oDk8VUtbmER9Q8lppmjRa3O1GMRqNPvGt9\nfb1P+KI3ycnJlJWV8ad/+qd8+OGHBAUFUVJSInoVSd3aJVN269atfPTRRxQXF/uItra2VlQ6HAvp\n+EajUbTrkPB4PLS2tnL06FH0er2IO5byaS0WC0NDQ5hMJo4ePeqzP+m/CoWCkydPUlJSIl423jHI\n41X4OHHiBPPmzeP69evArfBM73OMjY0lLS2NmpoakpKSSEpKor6+npKSEnp7e+no6OD8+fNkZmYS\nHBxMaGioqGbxzjvv8NWvfpUf//jHt71Hk4E8p50AYwXzD2d406w7PYYUGOFtstbV1dHf3++T1O5N\nfHw8VquV8vJyAgICREaP97ynvLxchP0BoilzSEiI8BRfv36d3NzcEaOcx+Ph0qVL9PX1cfnyZSor\nK7l58yYbN24cUTPaYDD49KsdjtR8S+qhO/weGQwGtm/fTk1NjTiP1NRUYmJixHeg1WqFR96b2tpa\nVCoV2dnZlJaWjupUW758OaWlpWzcuJGzZ89y9uxZYZaHhoYSGBhIR0eHMIXnzZvHwYMHxVLVjBkz\n0MjVBG0AACAASURBVGq1nD59etTMqcniToIr7jePnHlstVrHbJo10XnxD3/4Q1Gi1GKx0NnZSUhI\nyJgu/i+//BKbzcaCBQsIDQ0FEPG5kig8Ho/POSmVSp577jkuXbokutV5C0gKaTxy5IhoDzl37lwW\nL15MUVERCQkJd1yFEW71+RktBVBixowZJCcnU1hYSFFREQUFBdy4cYPDhw/T0NBAXV0dS5YsEXNP\niYqKCvz9/UVDr8zMTFE3y/ueS72AnE4nWVlZNDc3ixebNIJHRESI6YPFYiE9PZ3a2lpmzpxJY2Mj\ns2fPnvLoKIfDMWVLPo+UaL2Ljd8Lly5dYv78+cCtiv4ajYbw8PBR81d7e3tpa2vje9/7nhidPB4P\nLpdLPIynTp0aM8k9Pz+frq4u3n//fRITEzl+/DgVFRWcOXOGxYsXU1hYSHFxsVgjvdfRJSgoaNx+\nrt7CVyqVLFy4kKKiIubOnUtYWBgnT56ksbGRpqYm3G43u3btIj4+3icJ3DseefiLZOnSpaK2sVar\nJSsri4MHD4p7m5OTI9L6mpqamDNnDomJiSL/OCIiwmctdyp4rL3HE2W8UdI7GeBelgMOHDiARqMh\nMTGRxsZG4uLi6O3tFcL15saNG/z2t7/lu9/9rsgcslqtIsRNelivXLkypmg9Hg+ZmZnU1dVRWlpK\namoqxcXFLF26dEQZHLvdPm5z6/EIDg4eNf91PKSaVRERESxdupSUlBQGBgb42c9+xowZM0ShNm9G\na+YFt0Zzm81GTU0NOTk5REREsHjxYsrLy4UnWKvVYrVa6e3tFQ2vHQ6HWPKRYrhB9h5POvfrZks9\nUe/VZPn444+JiIggNDSUtrY2oqKiCAkJITw83Cczo6enhzNnzjB79myxDrx+/XoRZyydh9VqHXPu\n09bWRn19vchj/c53vkN5eblPf1pvJvIyGu9+6vX6UStFejNz5kzhxR1t/9K6aVNTE3/2Z39Gfn4+\nx48fp7KyUhQlh1sjalVV1aj7iYuLo6mpSYQ3BgcHs2zZMpqbm/F4PCxbtkyMxtJ1b9y4EZPJRFNT\nE0uXLuV//s//edvreJBMpSNqykV7P5BqJo33UE8kU+jq1avo9XouX75MTk6OyE7xLj86MDDA6dOn\nmTlzpk/eqVS13tt0Ky8vF+l7Ei0tLZSXlzM0NMTcuXNJSkoiODiYwMBAnn32WcxmM59++qmPAKTz\nG4/x5uwTKciekZEhugcM33dbWxs7d+5kzZo1Yv6uUqnIy8tj2bJlXLhwgYqKCgwGAwEBAWOu/XZ0\ndIwIegkICCAhIYEDBw6IekzeSNtbLBYWLVrkUxljspFWBaaCaSPasQTn7S2+11G7o6MDPz8/sVQT\nHh4+YonDbDaLuNzm5mYR2A+31nIzMjI4ceKE+J3D4RDxyTdv3qS8vBy73c6aNWtEUsHwBPLc3Fy2\nbNnCkSNH2L17N1arlYGBgVFzah8EWq12hNiuXbtGTU0NZrOZJ598kqioKJGMICXhu91ulixZQmFh\nIXV1dVRXV6PX60ckiF+7dk1U0Bh+HK1WS3Z2NhUVFT71qSSSk5NF9ZHxgkEeJFNpHk+bJZ+xsFqt\noiTJeGbfePz2t78lLCyMwcFBVqxYwZkzZ0ThboXiVsf6w4cPs23bNiwWi8/8UlqSkAqJf/HFFyxc\nuJDw8HCcTidVVVUolUpWrVo1woSXPMveIlSr1WzYsAGLxcKBAweoq6tj27Zt4u+j1W2SqvmPx0TE\nLr0Az58/z5UrV4iMjCQvL09k4EjnIAXOe1fPAMjLyxMecKliBdwKIDl+/Djbtm3DaDRy5MgRkVcs\n/T0kJIT09HQOHDgwQhhKpZKZM2fyxRdfoFQqGRwcvOd5/t0gO6LuEqfT6dMd4F7LrB49epTk5GRR\n9bClpUWMhm63G5vNJkq8lJWViXVXyWsteZfj4uLQaDR89tlnzJw5k4MHD5KXl8eSJUtGmPDjOVH8\n/f3ZtGkTaWlpdHZ2smvXLkpLS0ftbt7b2zuhOOvxLJLOzk4uXbrEvn370Ol0PPHEE+Tl5Y0InVy4\ncKFPWqE031WpVGIkKi4uRqVSceDAAQYHBykrKxPJ8FL4pDfS/iMjI/F4PCNGVI/HQ0JCAh0dHaxc\nuXLK5rVTueQzbUba4YL07g4wUW/xeKJ2u910dXWRkpKC3W732W9bWxsrV66ktrYWuDWySktL0suj\nu7ubtrYLHDjQjdVqpqXlMH5+14mMjKS8vBmXyzUi6L6+vp7Y2Fj27evg1ql58HhAoVCi0ejRaAKY\nMSOeoaEhNm7cKPJTP/jgA7q6utBoNERHR7No0SK6u7tFdcPx7oM3JpOJEydOCE9vREQEGRkZPokN\n0v3xHskjIyNHTdWTgjakmlWRkZHMmTOHzz//HD8/PzEXhlsBFT09PUT+P/a+PKqt8077uVcSWpFA\ngFgFYt+MwTZ2bBbvjh2nttM4TbO0aZtmZr626XLm65l+TZfpzJnOP3M605l0knYyWZq0jSdNmsSJ\nl8QbqzEGjMHsIHaxSSxCSGjX94d4X+siCYSNE9Lpc45PAlzde3Xv+3vf3/tbnkelotcgUCqVkEql\n+OCDDzjkeYRJMyIiAlVVVZ8a3cxfyhjXCCKatV7BALKK8Hg8ytG0Y8cOAN5GAD6fj8TERDidTmi1\nWiQlJcHj8WB4eBgdHVVwu/XQaDzYu1eP1FQnxsdH8MADBZibm8WmTd79ttPp9BMxbmhwo6hIBT6f\nhccDmue1212w221YXLRgbGwEWu0ILlyYQ3R0LvLzi1FUVIT09HTI5XIMDQ3hypUr6OzshFqtRmdn\nJx3IvlVJpNNHp9NR95JhGEgkEmzbto3TG3z16lXMzs5yDGyt3TUkHqDRaFBZWQmVSoXc3FxcvnwZ\npaWlEAqF2LZtGy5cuID777+f3iPgbc7QaDTIysrCiy++SLuhyHc6fvw4Tp8+/amJZP2v3tPeyQxJ\nRLPkcjnn83fjHp86dQqRkZGQSCSIi4vDjRs38NBDD8FqtaKvr4923hQUFOD999/Ht7/9bVRXn4Pb\n3YYHH5RBo1EBcKO1dQISiQMxMRJkZqZgcVGF/v4e5Ofnw+mEn9EKhXwIhQwEAj41WsADoZAFy3pX\ntaQkCaKjjUhIkOLmzVZUVXWCZVMoWXpKSgpSUlJgt9spcdjc3BxsNhvsdjvtlRUKhRCJROju7ubU\nFgdCTk4O2tvbOSWRgYyWSGastOrY7Xbo9XqqVRQdHY2rV68iIyMDarXa7x0C3tw2Wek3bdqECxcu\n4MEHH0RUVBQmJiYo3/Knpa1zL/e0ZOIO9m4+daMNFcvVAYho1nrhwoULSEhIgFKpRFxcHDX+yspK\nHDhwADU1NWAYBunp6bDb7aiqOo20tAHs2RODsDABPB6gv38QQmEYEhMTacRULBYjOVlNRbt8YbNZ\nIRDwV10tDAYDIiMjIJHwUVISjZwcK/7zP2tw/rwBSUm3GS76+/spXzGp0RUKhZBKpXRPPj8/D4vF\nErRhQCQSITs7G0ql0i/lFKgLqaioCI2NjSgpKQl471arFbdu3cKuXbswPT1N3ffS0lLcunULRqMR\nKSkp6OrqQk5ODo0P+E6+u3btwp/+9CfcunWLsmsA3lxvZ2dnUKrae4n1cI89Hg90Oh2HzshsNuOP\nf/wjRkZGcOzYsYC91Z8ZoyVYq2iWL1ZaicfHx8GyLLZu3Yrm5mbExcWhtbUV2dnZnIBDQ0MDWNaK\nxMQu7N2bAD5fAKfThf7+fqjVakxMTGBqSs9xK8PD5VCpnOjr60V29u3KqOHhYcTEqOB2r+wdzM7O\nQqlUYnh4GADg8QBHj7K4dEmHnJz7aaXW/Pw8FeFaCZGRkSgpKeHURhOYTCa0t7fDbrdT3uWsrCxq\nbMtXtkDGTWCxWHD27Fls3boV27Ztw6VLl3Do0CEaaS4oKIBWq8Xs7Czm5uZo1VhtbS1nEuDz+YiM\njMT8/Dw1asDbyNDX14fXXnsN3/3ud1f93uuJ9VhpZ2ZmcOLECZSWluI//uM/sLi4iL//+7/Hv/7r\nv4LP5+OXv/wlzp07R7dpBJ+p6LHH41lRNOtu3OOxsTEkJiYiKioK09PTCAsLw9TUFDQaDeecXlFo\nGVJSzODxeLDZbBgY6EdGRgadSKanDVCpuERmSqUSKpUKnZ23G+DdbvdSXtifsMzlckOnG8Xw8DDm\n5rysDsnJyUhOTkZKSjJSUlQ4eFCAtrYqulKH+t1XOi48PBzbt29HaWkpUlNTsWvXLkxMTKC6uhpa\nrRZdXV0hXWdubg7nz5/HQw89RGMFviDVa5mZmVCr1ejv76ffY3Fx0Y8yJzIyEunp6WhsbKTXJ6Tw\nNTU1IX3v9cR67GkXFhYwNjaGJ554AoCXavXll1/GL37xC8zOzmL79u34l3/5F7/PbQijXYukx1pE\ns0LFyMgIZV0EvK5iX18fzR9aLBYIhcIlTqVx7N4dBj6fgclkgk6nQ0ZGJljWd18W+LEqFAokJyfj\n1q3WpWofBjweN986MTGBoaEhjI3poFLFIjk5GUplFBQKbm8wwzBIS5NCKh2jBQj3Yn/HMAw2bdqE\nsrIyWrJZW1uLmpoaWvlFunYIBgYGUFNTg4ceeoizhw9UaMGyLOLj41FeXo7XXnsN/f39ASUztm7d\nipaWFqjVarqysyyL9PT0FZk07hXuZqUlk47VasXCwgIt5bxx4wZcLhe+/vWvQywW4/jx4wGrvjaE\n0YYC4hKtRR0gVLz55pu0Fa+jowMSiQRSqZS6xaTiqqqqClFRLNRqKRITE9He3o709DT42orZvLBi\n871UKkNeXh5u3mwGyzJgWR4WF60YHBzC4OAA5HI5UlJSoFar6aAIZItet9aDnBwGExOjS8etr9EG\n6mGOj49HWVkZysrKYLVaqdYsacNrbGzE6OgoHnzwQb/7KS4uDiqbmZ+fj6ioKPT390OhUPiVMPqm\nkYh7DXi3ScuDe58E1isQJZPJMDw8DJvNhosXLyI7OxtyuZxDebscnwmjJWVrvupwd4Jg7nNtbS2N\nxJKC9YyMDMzPzwMApTkdHh5GamoYACcNqizvTTUajYiPj1vxPng8PmQyGex2Ozo7OzEzM43k5GRo\nNKl+bYVESNr/u7Bwuz1QqyWYndUCWP+yRpVKhbGxMZ9rcp99ZmYmysvLsX37djQ0NOBXv/oVxGKx\nXxO+r4GtxF08PT2NnTt34urVq3TQ+k4aMpmMBqyI8RcUFMBsNt91NdxacTdN8OQ5KpVKFBUV4bnn\nnsMvf/lLvPfee3jssccAwI8D2hcb3mhJtDiUwNOd7mlJJNDtdsNgMCAzMxO7du2iA4PwLpnNRqSk\nODAxMYHU1DRkZGSiv3/A7x6AlScWs3kB09MziIyMREpKMozGedjtgQfd1NQUh92RwMvh7EZsrBhO\np4EjW7leyMzMRG9vL/052LPV6XRwOp340pe+hJmZGdTW1lJFd8CfPD1QzTDh9DKZTNi6dSuuXr0K\nPp/PkTYpLi7G0NAQJBIJ7HY7rFYrYmJioFAo8MYbb6zjN18d6xE9jomJwc9+9jNMT0/j5z//OQ4e\nPIhvf/vbALzbJMIzthwb3mjtdjttlr5XIIUIVqsVi4uLSE1NhVwup3snm82G9vZ2xMUpsLhooBIg\nDMMgOjqaCit7B17wF+l0OjE4OAijcR7R0VGIj09AVFQ01Go1RkZG0N/f72cYCwsmP0J0AGBZBi6X\nGyzLICICqza2cz8b2muXSqUc41uOhYUFnD59Gna7Hfn5+VAoFCgrK8OOHTtQX1+Pmzdv+n2fwsJC\n6kr7orKyEo899hjm5uYgk8mwadMmXL16lYqKEUMnW5b77ruPllAKhUJcvHgxpO+0Xliv1rz77rsP\nXV1dmJ+fx+uvv04nguTkZLz55pvUiH2xoVM+brcbFotlTVqyKyHQSlxTU4O4uDi4XC40NDT4lcsB\nt1XuTCYd0tKSOfcSFxeH9vY22oMaTFhJp9PBZrMhJSUZZrOFun18Pg9utwuZmVlYWDChu7sL4eHh\nPtStgbcEZKUFAJGIWdG47gaBru10OnHx4kXweDw88MAD4PP56OjooO6cQCBAeXk5pqamUFVVxXFd\no6Oj/WRQurq6kJiYyGkbjI6OhtlsRmtrKzZv3gyBQIDh4WHaGELqvJ1OJxiGoVuZTwp3Gj12Op0w\nm81QKBSULJ5UjvmKp4WFhSE7Ozvg89/QRkuitiTwcCeyIKvh3//93/H444/j7NmzcDgcnP5YuVwO\nvV4Pp9OJ0dFR5ObGQiz2N46cnFx0dXUuPXDuQzabFzAxMYG4uHiIREKwLIvx8XFkZHhXa68L6DU+\nmUyGnJxczMxMo6enBxKJNGAQCuB2+YhE8Cu8Xy/4Dhq73Y5z584BAMrLyzmtgrm5ufj44485e7Co\nqCjs2bMH7777LqqqqlBaWuongkb2bkSVISIiAqOjo8jOzkZKSgpaW1sxODgIjUaD3t5enDx5Eu+9\n9x5KSkpoYUdsbCwGBgY+URLzO3WPm5qa8Ktf/QpvvPEGurq68P3vf5+yfJJuKUL9a7fbUVhY6Efb\nu2GNdq3qAHcKs9kMpVIJvV5PSxWJu1xeXo7z588vGVkGpFI7GMZ/70loWIaHRzhu/OjoCAAG6ene\nSiiXi+zlPLRE0bv/5U40SmUUIiIiYDabcetWG9xuN1JSUjiRc1+jZVlvN0yoMz/DMHC5XCF1qTAM\ng+7ubvT19UGn0+HLX/5yUNK8QKuCw+FAcnIyCgoKUFNTA7VaTUsR4+LicOHCBY6MSkJCAvr7+2lL\n5ObNm1FVVYXo6Gi4XC5ERETQyC3LsrBarZRmtaWl5RNjaLzT6LHJZKJFMtPT07QSz2KxwOVyweVy\nUe/BYrHgyJEj/lzb6/EF7hbLX7avaNa9DuWTlXl0dNQvPxgWFgaj0Yi+vj4cO3Ys6KoHAIuLVojF\nYlgsFjgcDvT29iIyUhmQO8k/UBX4xDKZDLGxKmRkZGJsbBzd3T3o6eldYungcSKrc3NziIiICOUr\nQyAQrMjICHhLIs+cOYPOzk44HA4cPXoU+fn5K64ugVa5xcVFWk65Z88e2Gw2WK1WtLa2orKyElu3\nbuVMHoF0d8vLy3HlyhW6spMJgs/nIy8vD2NjY5DL5ZRj6pPCnYzNgwcPorKyEoD3ezkcDgwNDUGv\n12NmZgZGoxFmsxkLCwtwu904e/as3zk25ErrK5pF4NupcqeGHMx9JswQO3fu5Pzd5XJhcnKS6tys\nBKt1EXl5eaioqKCVPgzD4v33B/CTn1yHw3FbqU4gYPHzn4fh2DEN8vJOLf3+Kvh8FufPP4j4eG/a\nZ3p6BgqFAjwei7Q0b0rK6XRhdHQEdrsdMzOzS0YgxNzcnF9tczAQ8nSST3a73ejr68PAwAB9vvHx\n8XjggQdQX1/PkUZZCQKBgEbaCZarAubm5mJ2dha//vWvsXfvXr9JzePxQCwWY2FhgVZFLfcMwsPD\nMTIyArVajYiICNjtdvB4PJhMJjpJrHcBznqBMHzweDyahxWJRH6pvZXc/A1ntHfjFodKaE5A2tYa\nGxsRFRVFV0qCmpoafP7zn8fLL78cEv/UxMQEoqKUS4yBHvB4wIkTqThxIhXf/W4NPvpoGAwDvPrq\nHmzb5s3ltrd/EeXlf8LTT+fh6adzOHXIs7MzSEtL51yHz/e2ugHeTpi4uHhUVfXh+vXrGBoagtPp\n5LBoBCIMHxkZweDgIGJiYiCTySCXy5GWloYDBw74ucykvnd5/WsgFBQUoLm5Gbt27aK/81VWINDr\n9ZDL5bBYLBgbG0NCQgLn78XFxaivr+cwWohEIgiFQoyNjSE1NRVtbW1Qq9XQ6/VQKpWYmZmhaSPC\nZiIUCu/pHvdOFg/feu/6+npcu3YN3//+9wNuVU6fPo2+vj787d/+Lef3G8poA4lm3UvU1dUhKiqK\n5vx8MTExAYZh0Nvbi/Dw8BVpR4k7Ex0dA7lcgaSkJLS3t2HTpgL6go4f1+Cjj4bh8QBnz45So715\ncxpzcw58/vP+SXQA4PGWM114C83NZvOS5qvXMMPCwrB//37ExcWtWjX2/vvvIz4+Hunp6dDr9fSf\nwWAA4B1YGRkZiImJQVRUFIfzaiUolUq/MsXFxUVO88TIyAhGR0fxuc99DnNzcxgbG8PCwgInACiR\nSDiBtZaWFuTk5CAlJQVXrlxBZGQk9VoGBgZw8OBBnD59Gk1NTTRF5HA4YLFYKHH9p62y5wuy0o6O\njuLv/u7vMDU1hZ/+9KfUszCbzXjhhRfwgx/8AH/913/t9/kNZbTBRLMIiHu7Xgb9+9//Hvn5+bQf\ndG5uDkKhEB6PB01NTTh8+DBOnz6N7du3o6KiAoGpiDxobm5GYWEhZDIpTKZ58Pl8ZGfnoK3tFjXc\nPXsSEBEhxNycDefODeNHP9oGlmXw4YeD2L49ApGRQiwPSJG97uzsHCelERGhgFqtXqJeUSM21oCE\nBAVdgVcD4RQODw9HREQEle0kcDgc6O7uRldXF1iWxeDg4Iqi0Jw7XvZurFYrrfIaHh5Gd3c3FTbr\n7OzE4cOH0dnZiZaWFhQWFtLP+xrZ+Pg41TjavHkzKisr6d7abrdDKpUiLi6OTi4Mw9Dtld1u52y3\nPq3+W18Q1/3RRx/FzMwMvve97+HGjRt46aWXYLVa8a1vfQsVFRX46U9/ih//+Md+n98wRrseolmh\nUKT6/n18fBxyuRx8Pp9KVm7ZsgWNjY3Iy8ujOTOFQoHx8XGIRNwX7vF494KRkREID5ctpaW8fxMK\nhcjNzUNb2y3k528Cn8/DkSNJOHVKi9lZG6qqxlBWFo/z54fxjW9o/O51enoGMzMzGBwcglwe7qcM\nvxxrCcAIhcIVA1ECgYDDMjk/P4/BwUEMDg7C5XIhJyfHj7idYLlR2O12iEQi9Pf3Y2hoiKNESAZv\nbm4u+vr6ONQ1SUlJVDLEl0InKioKAoEAERERHPU+4jEtvxehUOhnvKHQyK6E9Qp2MQyDb37zm9i2\nbRu++MUvIicnBxKJBLGxsaiqqkJZWVnAa20In+FuRLPuBuQlms1mKmNBCilSUlIwPj5O5UC2bduG\ngYFB+lm3243e3j5oNKlBUycCgQB5efno6GiH1bqI0tLblU0ffDCI2toJOBxu7NrlLciwWq0YGhrE\n0NAg+HwelEolUlJSEBkZuGDDF2sZhHw+f03FGDweD0VFRdBoNNi1axdGR0dRXV2NhoYGv1piqVTK\nWZUZhkFrayvGxsY4e1RyXlLplJGRgYiICAwODgIAsrKyMDAwgI6ODj8h6qysLBiNRgwPD9MYRmFh\nYdD7Z1kWIpGIBnwWFxfhdDrv2vjudtUmn4+NjcXevXtpueZTTz1FDTZgYc1dXXWd4Lv3WAl3y7a4\nHITSgwQHXC4Xrl+/jl27doFhGFy/fh07duxAWFgYlEolzGYzLfLQavuQnp6GhQUTxztY/oz5fD42\nbSpAf/8AIiPNSE727lsuX9bh1Kk+HD6cDIdjEYODA9DrDUhKSoJanQyxWAw+f7UI6J09i1AU3X3h\neyzLsigsLER5eTlyc3NRV1eHmpoaaqibN29GS0sLPb6zsxMMw6C0tNTvvHl5eZxjSfnojRs3wLIs\nDAZDQIFtlmURHh6O+fl5n1y1twtopcYBHo8HkUiEsLAwGsdYqYHhXsPpdOLUqVMoKyvDpUuX8Npr\nr+E73/kOfvzjH+Opp56iMYbl2BBGy7LsXYtmAaEbNTnGYDBQN5DQdbrdbhoQIHzEAoEANpsNaWlp\nSzXCWqSkpIDH42NycpK29Xk/E/i+8vLy4HA4UVbmjYpbrS5UVOiwfbt3okpJ0SA+Pg4sywPDAAbD\nNCeAE+Qbc67xSUMmk6GsrAwlJSXQarWoqqqiag9WqxWnT5+GSqXiCHP5IjY2liO1AnjdXKlUira2\nNkxPT1MhtOXIzMzEyMgIx6j5fL5fieRykPyud1L0ai+R974W3M3iQbyLF198EU888QR2796N69ev\n46mnnsI//uM/4u2338aZM2ewZ88eyv7piw1htJ+UWxxov0VmbbfbjbGxMY5QFjleJBItMWZIlrpz\nlAgLE9JjuMRkwa+vVEbioYdup3Di4sQ4frwIEomUpma8/1iYzeal+3Ldk4KBtRi5QqHwY/r3Bcuy\n2LZtG8rKyqDVatHa2oqzZ8/iyJEjQWuxV7qPrKwsdHV1ITk5mWojBQIJqBFERETgt7/9bQjf6DZH\nMxl7FosFNpst5Gd9N5Okr4D3P/3TP+EPf/gD4uPj4Xa74XK58PDDD6OpqQkejwcffPCB/+fv+Mqf\nAtbTPbbb7WAYBg0NDdi6dSscDgdycnJoB8rk5CQdcGKxGDabDWNjY0hPT8P4+JjPmbgvj8fjB6wD\n9vaGeiCRWJGX53Wn9+27HczxeNw+pY1esCxvqTHAQ5Xi1gtrOVdqampI7BButxsTExNQKBSIjY3F\nzZs3V/1MIKUEEnFWqVTQarV+nyFE4WlpaZx0lFwuD3j8SiCRZolEQmMrgYjgA33uTkGM9tlnn8Vz\nzz3H+T0Jzmk0Gly6dAnf/OY3/T9/x1feoAh1MHZ2dkIqlcJisUAmk6G/v58GAwCvqvn27dsBeD2B\ngQFv36xcrkBUVDTGxnQwGucgk3H1dYTCMNhs/jndW7dawbIMUlM1OHnSm5M8dkyD9vZ2mM1mP0/j\n9phg6B7U43GvG8/vWgZdVFQUZmdnVzymsbER586dw759+5CTk4OioiLk5OTQqHMwZGRkoKOjg/O7\nixcvYv/+/VS7d/k+1bdgJCwsjHoBdzOpkWCVRCKBy+Wi5aj3sizS910SqltSJeVyuRAfHx+wGm3D\npHzWA2sZiHV1dYiJiQHDMDQtIRaLaTWR0+mkRQpOpxMGgwEaTQKAOcTFxS4xTsz61SsLhUIsLloh\nk3kjxaTqh88XID09Y+l6LmzapMSWLWp4PG7cuNGMrq5upKenr5ijZhje0qrr+kT3sCTIE2gAi0V0\naQAAIABJREFU9/b2UhFuogKfn5+PlpYWbN++HWlpaVhcXERNTQ127drlV16YnJyMCxcu0NjC0NAQ\nioqKaFAyIyMD1dXVnFSRy+VCb28vTcv19PQgLi5uXQS5WJal44AYEUkT+V5/PbZzLMvCZDLh4sWL\naGxspIUpAoEAIpEIRqMRTz31lF812mfKaNfDPSbnaGpqQkZGBux2O9rb22nQZ9u2bairq+MMrrq6\nOqSnp8Pluu0W5+Tkorq6yq8Vz/uwvYUQ4+PjmJgw41//dRCADS+8kAWpVIAzZ4Zw4oS3ltjlciMm\nJgaJiYno7++Hw2FfsUiCGC9xl91uT8Dg12q4k+foO1F0dHRgYGAAiYmJ+NznPsc5TqlUcopBcnNz\nYbVaUVVVhezsbL+yRXJeUjDvW+yRmpoKg8GA5uZm2sHjcDgwOzuLnTt30lwtmWzJVuJujYrH4wU0\nXlIzvB46PlarFc888wzeeecdmskQiUR0b+1yubB169aNSaH6aUQ+dTodVCoVrFYrh+w6KSkJ4+Pj\ndMWrr6/Hli1b/O6RYRjI5Qr09vZxfs/jeSlStFotJBIxbtxwoKFhCg0NRly9OokbN/QYGVnA5z+f\nSldMYviZmRnIzs6GTjcGg8EAvX4q6P3fTtt4aDP8WrDWZ05a0SorK3HmzBkAwNGjR4PmR5cbjUgk\nwr59+zA5OenHMMgwXsmUK1eu+Hku6enptONlYmICAGgTPACo1WooFAq6f5ZKpeju7l7TdwsGEmmW\nSCTg8Xg00qzX6+n4ePrppxEbGxs0Qg4A3/nOd5CZmYnCwkI0NzfTNNOLL76IxsZGtLe34+TJk/jG\nN74Bk8mEM2fOoKCgAM8//zyefvppv/NtCKNdL6x1JfZ4PBAKhX4F7WNjY7Tli2EYSnHpC5vNtqSx\nKqF0M4C3B3J6ehoaTQoUighkZnong/BwbyP///t/9fjJT4ohlfKXmgqITKd3H8yyLORyOTIyMsAw\nLHp7e9DT0x2QEJxEmkljwHoUDATCzZs30dHRgc7OTmzevBlHjx5Fbm7uip8JttJt2bIFUVFRqKys\npHs6hUKBd955B0eOHPFbwUhEfdu2bWhvb4fH46GC34DXqCcnJ7G4uAi32420tDS8++676/CtufdA\nglUGgwG7d+/G/Pw8jEYjvva1r+H8+fNBP3v27Fn09fWht7cX//Vf/4VvfOMb9B1dv34d5eXlyM7O\nhslkonvZQ4cO4ec//zlOnTpF2/h88b/OPQZut0dNTk5Cp9Ph5MmTHMLr2NhYdHR0gGVZHD58OOA5\nRkdHkJSUBKFQhN7eXszMzIJhvGoAMTHR4PG8j3b37gR84QuJOH9+Cs8/34bvf78Qhw+nwOVyLTUD\nMBAKRVhctC5FML2Mjmq1GkJhGGJiouF2u6HTjS1NDh5IJFLEx8cvVcx474eU5s3NzcFgMMBoNNIo\nqK8BMQwDnU4Hh8MBu90eUNt1fn4e169fp0G5nJwcqNVq7Ny5M+Se3ZU6rhITE6FUKnHp0iWUl5fD\nZDKBz+cH5QEj979jxw5cv34dFouFllESj4GwW+bk5KCioiKke1wrGIZBUlIS3nvvPXz1q19FVlYW\nfvnLX3K6mpbj9OnT+MpXvgLAywc1NzeHyclJJCYmYm5ujjJ9CAQC2qFFKvCmpqY4bJgEnymjXQ8s\nH0zLm64ZhoFIJEJnZyeefPJJzu994XA4IBR6A1WZmZm4fv06oqK8ZYc6nY5z7Je+FIt//Mfd1B32\nurMeMIz3umKxiFP94vG4OdVQLMtCrb7ddzo/P4/29nbMzs5gYmICbW1mdHbG0A6YqKgoZGVlQSwW\n+wW2XC4XFhYWoNPpcOPGDRiNRkxMTNB8J8uySE5Oxp49ezgFL5WVlWvinI6NjUVvb2/QKjexWIwD\nBw7g9ddfR05ODuRyOYxGo5+yAOB1refn5+kxgdQKCgoKcP78eURGRsJoNIZ8n3cCpVKJ4uJiPPfc\nc6tyU+l0OqjVavpzUlISdDodEhMTkZiYSD2o/Px8VFRUoL29HVu2bMG1a9cwOzsbkNTvz8poQ1mJ\nibQIIb4O1CztcDgQGxuL0dFRjmvMMCwN+vga8cTEOFJTNZiYmFhiRQzOTOHxeEP9vkYZFha2LLfr\nv9+cnZ2FyWRaur4HanUS7fbp7R2A1apBWFgYDAYDnQDcbjdtAyPPhmVZ9Pf3w2azwWQyQaVSYefO\nnTQQ53A40NHRgRs3blDXNDc3lzamh6J/C3glO95++23qxgZCW1sbCgoKYLFYYDKZYDAYAhZjEPHq\n3bt3w+Px+E1EhBAtFB6x9QDhPCb7+ZVSWoB/0I94DgcPHsRHH32E4eFhPP3003j77bfx0EMPoaCg\nAFeuXMHWrVsDVoR9pox2vdxjkufT6XR+zAkkRfOd73wHf/zjHzmDjscTwm53Ld2L98GPj49BIBAg\nOtrbe3rrVpufy+m7SHsNZzk3cuCgkF5vgMVihsfjLRxQq7mdPibTwtJ/HUhLSwtoIC6Xy4f50etC\n19bWYm5uDocOHQooXekbXHI6nWhra4PJZEJlZSWkUikVgF4JAoEAZrM5aDcQCcgUFxcDAP77v/8b\nWq0W+/fv9zuWULnOzno1jaKiotDb20ujzBKJBP39/SuKga0n1sIPlZiYSOVTAC+tEVl5v/CFL2D/\n/v0IDw+HWCzGG2+8gRdeeAFdXV144okn8Nxzz1ESfV/8WQWiVgNJk4hEIjoBkL0EWTlJBJNhGGRn\nZ3MinXy+GA6He8mNk2J8fAxhYWGIjr6tKJefn4epqSmYTF63yXeS8Xjgt8ckINdfXFzE7OwshoaG\nIRSGITk5ZanTJ3gdssnkCPp3Ho9HSdCcTueag1V8Pp8WSsTHx0Ov16O2thb19fWrMkA6HI6A7h0p\n0SMGCwAlJSUYGhryq0UmYBgG9fX12L17N5RKJWevl5WVhcuXLyM/P58Kat9LrCXlc/z4cbz++usA\ngGvXriEiIoJ6bzweDyqVik7yO3fuxOuvv47r16/jpZdeCmiwwP8yo11cXOTQfZBC/lu3btEX3dnZ\nSWf7wsJCTvpAJFLAaHRgYmISLMsDj8dHVJQv+7/X8JKT1dDpvMJY3qop78C93Wrlv7IuLCxgYGAQ\nc3Ne9fXk5GSEh6/WW+x1B2dm7AFVCHxBjJfch+9/QwXLssjPz0dpaSkKCwvR0NCAmpoaTE9PBz1+\neSygoqICQqEwYLsdn89HT09PwIZ7m80GsVhM311eXh6dUBUKBeWGslqt95zB05fz+PHHH0dJSQm6\nu7uhVqvxyiuv4De/+Q1+85vfAPCmxdLS0pCRkYG/+Zu/wQsvvOB3PvIeXn75ZU5PcTBsCPc41Jzh\nWpvcfUGipeRaBoMBW7ZsQWZmJk6fPg2FQoHR0VG/JvxNmzahvr4eDMNApUrCwIAHWVneYn7f7p7l\nyMnJxtDQEMbHx1FcXExzqcu/q8Ggh8lkAsvykJqqWaJJGQrhaQAAg+lpGxYXxSGTB/D5fFrd5HK5\nfJoUVn8HvseIRCKUlJTA4/Hg5s2baG9vx6ZNmzh7UhL0I22PRKs2ULsd4bYuLy/HpUuXUFpaytlm\njI2N4aGHHqI/x8TEcFZVQmhPMgP3EoTpBPCKt62GX/3qVyv+ncQdfvKTn+CHP/zhqjSw/ytWWsI9\nJZFI6EprMBioTgpxWXt6evwGVG5uLgYGBsAwDJRKJXp7bbBYrH5VPb7w6v5YkJKigUAQht7eXo4L\nDngpT/v7+8Hn85GamgaJREx/L5f7u5RBvhmGh81g2ZVX2UAgxenEZQ5loAcybIZhsGXLFpSXl2No\naAhVVVWUFYNMhJOTk/jwww9x4MCBgAbrey6GYbBv3z7U1tbS3/f09GDz5s1+Nco5OTlUANtsNlOu\nrHutNrBekiDLwePxQmpR/V9htISdLywsjM7GTqeTupRutxvz8/OQSqUB95tHjx5FT08P9Ho9Zmc9\nsNlWfrAymQwLC9460vBwGTQaDTo7u7CwYILdbkd/fz/sdjvS0tIQEcHdi3L5i1d3X3t73ZBIQsud\nLgdpTwtlv7vaauxrvC0tLbh+/TpiY2Nx8eJFdHR04MSJE6sOSPLseTwedu7cierqang8HvT09GD7\n9u1+bBsqlQqzs7NoaWmBRqOB2+1GVlbWim2E64H1EJQOBJvNFtJe+TNltHfiHrtcLtrqtZyBgQyS\noqIidHR0ICEhIWDKQS6XIyoqCu+88w6KivajqYnhUJ0uh1gs4XSmCAQCbN68GX19fWhtbUVqqiZo\nBNbL7xvagBgbs2JyMpIT7Ll165ZfnjgQyHMi6RJCeka6TO40mMMwDHbt2oWkpCRUVlbC5XIFVH4L\nBIlEgqkpb+mmTCZDSkoK3nzzzRXpW9VqNYaHhyGTyeByuaBUKuFwONaleSAY1kub1qsPZaJpx4KC\nAk6KMZj385ky2rWC9EcGUo/3/TklJQUGgwHt7e0rsizMz89Dr9dDLN6GhobAVCAAl1jd4/HAbndA\nq+1DZmYmcnJy0NHR4dfqdntCCW1/v7joxOXLduTk7ObMzlqtFhcuXAjpHMuvT4zX7XZTbVjfoFWo\nsYdr166htbUVe/fuhVgsRm1tbUi0LomJiejs7KQ/k0mVDF5yfd/70Gg0MBqNHBYMPt/LKHKvcLdG\nS77Ps88+i7/6q7/C0JA3hnHp0iUcOXIEgDfm8tWvfjWg1/BnbbSkjG95JY9er+dU6jQ1NUGhUMBq\ntXJEpQjGxsbA4/FQXFyMlpYWlJUdxfXrSjQ2GjgrEsNw6WZmZmbgdrsxNTWF9PR0yGThVMbRZJpH\nZ2cHrUS6XbSx+veyWJz44x8NcLvzERMTw7mH5RxNawVxmYk2rO9+lxCBB0N3dzdOnz6NhIQEHD58\nGDweDwkJCSgsLMSVK1eCch4B3si+L9+xx+Olpn388cfR0dFBc+vz8/Ocd9fZ2QmVSoW4uDiO0QYq\n/1svrJd7fOHCBbz11ls4duyY3359fn4ev//97wNyXn2mjHYtHFBEJnM58TnDMLh27RrHOE0mE9LT\n06kwki/cbjdaW1tRXFwMuVwOmUwGrVaLPXseQX29Cu+8M4GZmcADubu7C0plFDSaFL9VKiUlBbm5\nuRgZ8XIBMwxgs9mx0krrdnvQ0TGLV1+dhUSyBxkZuWhpaeEIP2s0GpjN5lX3dautmkTFjex33W43\nVCoVRkdH/Y4dGBjAhx9+CKvVimPHjkGtVlNBMIZhIJPJcPDgQWi1WnR1dQW83tjYGGJjY+nq+tFH\nH2HPnj0AvDXH165dQ3JyMm7evMnJSet0Ohw6dAg9PT3UJRYIBBt6pSWw2Wz4t3/7N4jFYuzfvx/X\nrl2jfyOeSaDrbAijXa/WPN/z+HLcLkdfXx891mQyQSwWIzExMWCxQHV1NcrLy+n509LSoNVqYTab\ncfDgowgLO4LXXrPjtdemUFOjx+joAozGRUxN6REeLkdsbPDqIYZhkJWVhczMDMzMzKK9vZ0OPI/H\ns1TIYUdX1yzOntXjP/9Tj5qaBGzZ8gTy8wshkUggFotx48YNXL16FYDX2AoKCu5qtfW9P9/8blRU\nFGcF6+7uxtmzZzE7O4sHH3yQEooD3l7i6OhohIWF0WjyfffdB4FAwBmcBHq9HnFxcWBZFk1NTUhN\nTaV7dalUioiICPD5fGi1WrrvI+67UCikg9zj8YDP56+4qt8t7lYFnow9h8OB7OxsVFZWYtu2bTh4\n8CAV3CLfLZDRbog87XqDBCKCJdkdDgd181paWrBjxw50dXVRPRhStD45OQmxWEyjnmSVP378OE6d\nOoXHH38ceXmbkJOTh+npaYyNjaCurhE6XS8YRgDABo3mdk8sCV4tb5z33pMKMzPTmJqahExmBssK\noVIlQCAQQ6HIRExMKkpKYjkRWNKkffjwYbz66qsIDw9HQUEBLXzwZXsgILlZ7/2E1ixO0mTR0dEw\nmUy4cOEC7HZvs/4DDzwQ8DNTU1PIz8+nBRNFRUUAvK10CoUCly9fxp49e2hsgRib0WgEy7J+xRdE\n3MzlctH8bUNDA81phoWFwel0Ympqym9vvN64W6MlIM0qIpEIZ86cwdNPP40TJ07gpZdeos/rM2+0\nK7V7+cI3JxsIvgEWUvwtl8uh0WhQUVFBmRhaWlpw6NAh+rnJyUloNBqwLIuTJ0/if/7nf/D444+D\nZVnExMRgYWEBUqkGzzzzFOrr65dywbcHNVnJg7lWly5dglLpwp49ezA4OIje3l5YrR4kJMRyStqI\n2LZUKsX4+DhcLhcOHjyIX/ziFzhx4gRkMhlaWlpQXV3NoYkhzeajo6Mwm82orq6mCnNJSUlISEgI\n+MwWFhbQ09MDo9GIgYEBfOUrX6FtdMECVE6nE0KhEPHx8X77tejoaOzcuROXLl3Cnj176Ln0ej3m\n5uaCBgOLiorQ0NBAf56bm4NSqYTT6URhYSEuXbqEgYEBbNq0ibNlWG84HI6ALY2hgjwvovYHeJ/j\nK6+8ArVajWeeeQaPPvoogD8Dow0VPB4v6ExI0hoCgQB6vZ6uNERakWz8W1tbOXSqgNflI0YskUhw\n6NAhvPvuuzh58iQGBgYwOjqKsrIyWogxOjrK6REl1wpmtEajEbm5uRAKhUhNTUVWVhYYhqFuqMfj\ngclkQm9vL/r6+pCbm4vIyEjI5XI88sgj0Gg0ePXVV/Gzn/0M8fHxUKlUVJyZgExoFosFeXl5VKR5\ncHAQtbW1NB87NTVF2xQXFhawadMmbN26FSzLUk+ENN6T9Nny2AH5zoFWc4lEgn379uHKlSvYvXs3\n7HY7amtr8cQTT6C6ujpg3W1ERAQYhoHVasX4+DinIo2oqFut3sIXwqp5L7BeK21SUhJHztPj8eAf\n/uEfkJqaim9961sAEHB792dltGRfs9osaDQaodFo8MEHH+CRRx4B4BWHio6ORmpqKmpqamCz2fxm\nfLFYzOlxVKlUKCoqwm9/+1tkZmaitLQUVqsVfD7/jjpODAaDn2aPN2Vkh1wuh9vtRmJiIlW86+7u\nRktLC6RSKcLCwnD48GE8/PDD+Od//mcUFRWhpaXFz2idTidVc7BarbBYLNBqtRgbG+MoLqSkpMBu\nt8PhcPhFbAmIQZIosy8FKLl3IHjMQiAQYN++ffj444/R29uLb37zm7ScMRiUSiUlQTty5AjnWNKK\nKBaL1yR7slasV/S4pqaGM/GQ5/TVr36Vakt95o12pegxyckCKwvyAl63Kjo6GhMTE7Rm1+FwQCqV\nIiUlhcM24AulUomRkRGOYQkEAkilUhgMBur+MgyDkZGRVYm6l4PcA+Bt4dLpdPB4PMjJyeEIYvmi\noqICLS0tqKurw7vvvov09HRERESgrq4OAoEA4eHhnHzn4uIi5ubmlrSIepGQkICUlJSA2rQEpPa6\npqYG/f392LFjB6eggwiVuVwuOByONQk6OxwOLC4uhlw7LRaLMTU1FbDlTyqV0kDZvRSVXq/o8Uqi\naps3b+YE9nzxmTLalUDc2lDSQgsLC4iKiuLsj30LIsg+rKysjPM5ogFDoNfr0dfXh5MnT0Kr1eKD\nDz7A0aNHAXj1bddqtAzDoLm5GUajETExMX7XDwSBQICsrCw8++yzmJycREVFBSoqKuDxeDA9PQ3r\ntWuIZFnY+XykHzkCRVIS9Ho93YsuX4kDwel00knDYrGgu7sbVqsVKSkptDeUkKCRElHfuEGwlXZh\nYQEff/wxDh06hO7ublRUVODAgQMrZhNUKhW6uroCdjWpVCqa6rmXGj3EW/m0sCGM9m5TPmQFCQ8P\nX9UlZRgGi4uLQQnEmpqacPDgQVy6dMkvyOLb1mexWNDY2EgrWJKSkiAQCPDOO+/gscceA7D6iu97\n/w0NDTAYDFCr1SgqKlq1V3X5vQPeqq0vfvGLeOSRR3Dm7bdx7vRp/N+uLpCu1e9OTmLm2DFEqNWU\nc3ct5we8eyxC4t7b24uqqiokJSVRriNSnLE8Qr18oI+NjaGxsREnTpxAd3c3NBoNRCIRqqqqgo4H\nm80Gu92OiIgIKtfpuxWyWq1rosS5U9hstqB8Vp8ENkSeNlQEW0VJNDXU2c9ut2NmZgabN2+m/bLE\naBcWFhAZGYlDhw7ho48+8rsGiWBXVFTg/vvvBwDawZOcnIzDhw/jD3/4A6cNcCXcuHEDly9fRlZW\nFlVeXwsCPRMejwexVosZlwvFPr//98lJTFVX00DdSgpzvuA28t/+/8zMTOzZswcejweVlZWUoWFh\nYYFjTCqVCoODg/SzXV1d6OzsxLFjx8CyLGZnZxEdHQ2ZTIbs7GxMTEwEnHyHh4cxPz+PuLg4bNu2\nza/3dC1aPHeDe9UwECo+U0YbCHa7HU6nkw6StfBEHThwgNPkrtfrKYVJVFQUDcIAXnJuL60pg+rq\nauzatYumU3xfokwmw5NPPone3l7K0xsIw8PDuHDhAuLj43HgwAEaGV1rL2iwXGtYkIL5sCXRMaFQ\nGLLR+oLP5/sV42dkZGDv3r2Ukkar1dL0EcuySE1NxfDwMBwOB6qrqzE/P8+hlfGd3OLi4pCcnIzq\n6mq/azc0NKCkpATA7T3r8nvh8XiUJ/le4S9GexcgfbLLSxVXAtl7CYVCjvgTw3jpR337ZI8ePUo5\nbUdHR2ljQUJCAm2fI9QjvsXsPB4PhYWFMBqNfpy4drsdly9fxuzsLA4ePMiJHspkMtrlEiqsVmvA\naLk9iNdhXapwEgqFIXfC+D7byMjIoCWC+fn5KC8vR1tbG2fCkki8XU9nz55FUlISioqKVpxYS0pK\nMDo6ynHfFxcXsbCwALVaTe+nqKiIkpQbDAYIBAKoVCp0d3ffUxXG9QpE3Sk2jNGGypzg+7LJ3nSt\nD1AikdDP8Pl8zM7Owm63QyaTcQYbn89Hbm4uGhsbwTAMTCYTbDYbrUoiwZblbjkpbj969Cj4fD5O\nnTqF2dlZDAwMoLq6GiUlJQEjg3K5fMXVORB878cXRdnZ+NGy330nNhbyHTvopHUnaRGVSrViXTOP\nx0Nqaiqio6NRWVmJhYUFdHZ2QqvV4sEHH1zS9eXRqrVAxRmkXNS3kCKQ+oBUKqXeQmVlJUpKSiAS\niTAzMxOQm2q98BejvUMQ8eI7EaOWy+U0PbR//3689957mJ+fx5EjR/wK4jdv3ozh4WHY7XbU1dXh\nxIkTVEEv2MsbGhpCXFwc4uPjIRAI8Oijj+K3v/0trl+/jn379gUMYtjtdkil0jXndhcXF/1WWr7F\ngq9dvozDAH4C4Ifh4Xhm82aovvIVxKSlgcfjgc/n35ELGR0dHZQTyheJiYnYsWMHfve732FoaAi5\nubnUI2FZ1q9/dzkYxstlfOPGDbS0tCAjI4PD7UWgUCgoOXtycjIYhoHZbA5BkPvO8Rf3+A5AcrKB\nxKhD2dMS8V7Au+qSfG14eHjA1rMTJ06goaEBRUVFtDjdtxJoOXp7e5Geng6WZeFwOPDRRx/hS1/6\nEnbs2IE//elPAXlyJycnoVKp1hxJDzRxFf3ud5BOT2M3gB+Hh+O+f/kXHHruOWRu3crher6ToA3p\nt10JDMPg+vXrqKiowNNPPw2NRuP3nck2gjB1kP5d37/HxMTAYrFgYGCAVocB3m0E6UfOy8tDR0cH\njVoD3iaQQFIu64W/rLRrADFIm80GhmHuqJSMYRjMzMxwku8sy9I9KiG99sXi4iJkMhlu3bpFf7fS\nbEuKBcbHxzE8PIxDhw4hKioKaWlpOHnyJEZHR/GnP/2Jw2U0OjqKuLi4OzJa3zbDuJYWpF++TH9u\n+trXYPOR8nC5XPS5rSUOsNLPvujp6UFzczPi4uJw5MgRhIWFITs7GzExMbh06ZLfPnpoaAjp6em0\nf5dowpJ3bTAYEB4eTqP3gDe9RtooGYbB4OAgMjIyAICOj7XmyNcCX2K3TwOfKaMFbkd+1xJ8Wg6G\nYTiRU5ZlV5SSuHbtGrZt2waxWEyL31dKLzEMg76+PvT19SErK8uvOqesrAzHjx9HZWUl3nvvPaq/\nEyp7vy/sdjtdaQUWC7b/13/Rv43cdx9GlunM+K60oTw/h8MR0JtZjp6eHpw9exYWiwVFRUUcKQzA\nuzqWlJTgypUrdGtCzk9SaQKBgJLNud1uXLhwAXv37kV2djYuXboEzZIEaExMDIcfmWVZjqxJML7l\n9QJpMvm08JkyWtLcHog+hiAU95hlWdhsNuoik+6XYKLJ0dHREAqFKCsrQ3e3V8FupejkxMQE5ubm\naPNAIPD5fBw7dgyf+9znUFdXh9bWVkxNTa056km6aQCg6PXXIVnab5olErxaXIyrdXWoqalBTU0N\n6uvrMTg4iNHR0SX5ktUxPT29Io/wzZs3cfbsWdhsNjzwwAOIi4sLuJ+UyWSwWCw4ePAg1akB/CcA\nst81Go2QSqWQyWRISkqCyWSipY6+9ckdHR3YuXMnx4gdDkdABfX1wqftHm+IiqhQQYzsbqtenE4n\n5HI5HZAsy6K0tBTV1dV+udKhoSGoVCq6cjz44IP4zW9+g4GBAaSnp/udm3DxEokOuVwOvV4fdBXl\n8/l44IEHYLfb0dfXh6amJrhcLlp1FAwejwdDQ0OYnp5GXV0d8oaGkOajFnflkUeQUFSEVKEQAoFg\nqaneAaPRCD6fj87OTvT399PmedLbmZ2dzTE6g8Hgx+9ss9nw8ccfw+l0Ii8vjyMjMjIyElAGMykp\nCSMjI4iKisKBAwdw5cqVoNq23d3dkMlk1INwOBxISEhAY2Mjdu7cyTlWp9Nh//79tOmfTOwrcVLf\nLf5itEtYbYUkpYqkculur+O750xISEBcXBxqamqQn58PnU6HtLQ0tLW1ITMzE+3t7di7dy8txXvm\nmWfw/PPP4wc/+AFnxW9ra4Pb7ebkejMzM9Hc3Lyq68uyLHbv3k07bM6dOweBQICYmBgUFxeDYRgY\nDAZK18KyLOLj4xEVFYU9mzfjgd/9jp5reOdOLDzwAHz150gMQCwWQ6PRICkpCdPT07T7xhDfAAAg\nAElEQVRYAfC62qRaiaSyrFYrcnJyYDabqRTI8PAwvv71rwfcIhAlgOWIjY1Fe3s7/Xnfvn2oqKjw\nC2qNjo5ifHwcBw8exOXLl2mUWyAQ0OYCcv7JyUnI5XLaCeVb9/znHD3eMEa7GkhONpRC8FAqosRi\nMZWfIDN6QUEBpqenKSfx+Pg4Nm3ahObmZprXJITS27dvx5tvvoknn3wSDMOgt7cXDocD+fn5HEoW\nkUi0pjpipVJJc7wCgQBdXV14/vnnwbIspFIpDh8+zJkUGIbxusVL7qZVoUDj174W9PwrTXhhYWE0\nf+x2u9HU1ISrV6+ira0NYWFh+OIXvwiZTIaLFy8G3dMHc+8DbWcyMjJQV1dHDXFiYgLt7e1+msCk\nXXDHjh2or69HSUkJGIbBzZs3cfDgQUxMTCA1NRX9/f0YHx+HSCQKuWvoTrBe/bR3is+E0RJJj/Dw\n8FWL3EMt0oiIiMDc3Bx1jwGvPONbb72F6OhotLW1cdy85aJLEokEx48fx+9//3vs3r0ber0eJSUl\nmJ+f9xvQoVK6AF43sqOjAwaDAdPT05DJZHj22Wdp0X1DQwOam5upEeT19yPdh5Cu4etfh32FARus\ndntgYADj4+O0MMTlciE7Oxvl5eUoKSmByWRCS0sLnE7nHSvTLX83o6OjOHHiBCorK5GTk4O2tjba\ngOGLmZkZyOVyyrLhcrloJxTgdZGLi4tx8+ZN2rh/L1vz/tLlswp8JT3WszStpKQEv/71r7F582bO\n6p2fn4/6+np4PB7ajkYG+vK6W4VCgYMHD+Kll17CD3/4QwDemuK72U9ptVp0dHSgvLwc+fn5fh02\nvqrjApMJZT5ucV1qKl6engbj0+jgu53weDzo7++HxWKB0+lET08P3G43hEIhNBoN9u3b5/eMidcQ\nHh6O0tJSeDwevPHGG6isrERaWppflHitud+wsDBkZGTg/fffp2wNBORetFotJSQgjQIGgwFHjx6F\ny+XiuOSLi4u0v/de4m470+4GG95ofSU91qODgwSawsLCsLCwAKVSyUlB5OTk4K233qKs9oQNYfke\nRiKRYG5uDs3Nzfje976HP/zhD/j85z+P0dFRjoQjcJu0fCVMTEzg0qVLyMnJQUZGhp9ubiAUvfYa\nopZSV4sKBcZ/+EMcWSXVUVNTg9LSUjgcDjAMw+HACgUMwyAhIQF79uxBZ2cnKisrkZ2djbi4OA5p\nXLDP+sLj8aC7uxujo6P4whe+gMbGRr9nB3i9HBJ8FIlEGBsbo+wbpMOKVFaRYpNPcyW819jQKZ/l\nkh6hpHNCOUYgEGBxcRFms9mPB4phGMTGxtIKnmCVT7m5uXj77bdRWlqK8PBwPPHEE/jwww+h0+n8\ngiAxMTFBybMnJydx8eJFCIVCHDhwIORVOr6hASlVVfTnxmeegT2E3KSv4dzpJEh6WXNzc7Fnzx5M\nTk6isrKSRtpDxeDgIIxGI/bv3w+VSgWpVAqtVrvq51wuFzViMi54PB50Oh1UKhWdlO8lPs2VdsMa\n7UqSHncLlUpFeXl9+zwB76weGxuL0dFRzMzMwOVyBbz+4OAgJVUDvK7r448/jsnJSb8+z4yMDFqv\n7Pv9qqurMTIygv379/tJRK6EMJMJ23yKKK5nZUEXYIUKhPXwViIjIzn1x4WFhdi1axfq6upWVCDw\nbYw/ffo0wsPDOamt3Nxc6HQ6vxyy7/Oor6/Hrl27sLi4yIk8k2AVSW99Ur21nwY2rNEGk/QA7n7g\nZWZmYnh4GEqlEm1tbZxB0dTUhH379iE7OxtnzpyhVTq+sFgsGBsbC5jGycnJgcPhwJkzZ+igWk5W\nNj4+jgsXLqCwsBDFxcVUsS/U71f0yisQLUW+5yQSvLN7d8jffT1WiMjISD/F9rCwMGg0GgiFQlRU\nVASMmDOMV9bj9OnTkEgkAXmZy8rKUF9fT4+fm5ujz8ZkMmF+fh6JiYkQiUSYmpqC2WymxSWEuYSU\nolosFjqO/pywYYzWdzCtJOkRynlWU9YrKCiATqdDRESEX/+qr55PUVFRQDb8q1evYu/evUHPv2PH\nDhQXF+PUqVN0cJN7b25uxsjICO6//366ShOiMpJnJM8gEBLq65FcU0N/fr20FIt3yMG72vMM1mAf\nERERsOyTYRikp6ejvLwcNTU1GB8f5/x9ZmYGlZWVOHbsGKRSacBuJ5ZlkZGRgba2NohEIty8eRNZ\nWVkAvCR2pHl+06ZNaGpqglarRVpaGgYGBpCcnEz31SKRCCKRCC6XC4uLi+umorcRJoANY7S+WEnS\nYz2wc+dOjI+PU64hYlhEfwbwDtj8/HxMTExwostdXV1ITU0Fj8dbsSE8NjYWjz32GGpra1FZWQmP\nx4MrV64gIiLCT7pRr9cjOjoaLpcLbrcbSqUSExMTfgMkzGjEVh+3eHDvXrQutaOFirUMOr1eH7BI\nQSwWB3SDyX3w+Xzs378fk5OTaGtrg81mw5kzZyAWi5Gfn79qZDcpKQlGoxFyuRwzMzMQiURobGzE\npk2b6GflcjksFgvMZjMUCgW0Wi3y8/M5Ew1h7yfUOstd6rvBX/a0PiDN0XfSJxsqhEIhfXlpaWm0\nqfvmzZvYunUr1VBxu90oLi6mFUJutxs6nY4Saefm5qKnpyfodViWxbFjxxAbG4sPP/wQ8fHxSElJ\n8Ttubm4OkZGRNBes0Wig0+mo0DPBlldegWipM2hRqUTLV79K7ytUrGWwTUxMBNwCBGtJXD4hFBUV\nYWJiAq+88goOHTqEnTt3hszMcd9999EaacIZRRoGAK/REqohEuEHvBVZvhMNYSqRSCTg8XiwWCyf\n+f3uhjJa3z7ZYIMrFPd3JZDPk39kn0UKOIRCITweDzIzM9HR0YHp6WkcOHAAH3zwAWpqaji1r4Ea\nyX1lOABgdnYWg4OD+NGPfoTa2lpaXO8LkrYgxiAWi2l9K0lnJNTWQr1UJwwAjf/n/8CxtH2405zk\nagPXZDL5qNKv/NnJyUmOsYyMjOD8+fPQaDR45JFHUFtbC4VCAZPJ5HdsIPD5fCQkJGBmZgbXr1+n\nCnoEEokEKpUKU1NTuHnzJs3jWiyWgOoEpIyTbH3uZr/7aa6ywAYzWpIYv9twfSgvwuVy0Yhjfn4+\nrly5QveUDMMgPj4eMzMzmJubQ3p6OqKiotDf3++nX7uSwej1ejQ1NeHIkSNQKBTIysrCgQMHcPbs\nWVy8eJFzn6TKxuVy0XsDvC6e1GzG1pdfpscO7N+PySXhqbvBasa+ljrvwcFBpKWlYXZ2FufOnYNO\np8ORI0eQmZmJmJgYbN++nT7jgYEBSqC3EoRCISYnJwMGrEiU2OVyYXp6mnb12O32FbmcGYaBUCik\n+11SaPJZWnk3TAaa0Mes1Aa2niCEaKSaZnh4mNa0EhBeKIVCAZvNhpiYGAwMDHBcXD6fT3lwfVdd\ng8GAW7ducQYcy7IQiUR4+OGHMTs7i/feew8SiQQul4tDxULO4/F4wADY+vLLEC2Vb5qVStx48kkO\nt5LL5UJ3dzd1832NbXlelqiOu1wuaLVayGQyJCcnIz4+fk3N7ssNfnZ2FpcvX4ZEIsH9999P+1oJ\nSD/tK6+8gqKiopC8g9raWmg0GlpbvPz6hMzNt87Ybrfj+PHjq56b7HdJQQYp4LmX5Y/rhQ1jtIR4\nOpTZfz1mRaVSCb1ej9zcXPT19UEikdC2NbKPJIPfaDRCJBJh//79OHXqFKRSKS3az8/PR2trK7Zv\n347Z2VnIZDLMzc3RYvZgiIyMxMMPP4yZmRm8+OKLYBgGJSUltGGAGExibS2SfCLYN77xDZj5fDRf\nvQqXy4W+vj7I5XKOYNdK8Hg8KCkpgcPhgMViwbZt2zA4OIi6ujr698jIyIDtdYHQ1dWFoaEhjI+P\n48tf/vKK708ikSAtLQ39/f3YtWvXivd648YNSKVSREVFYWRkJKDLa7FYwOPxaHQZwJo6fMh+lxDN\nWa1W8Hg82pQfCBthRd4w7nF4ePi6sLaHsuf1eDxITU3F6OgokpOTYTQaERcXh+HhYc7LUiqVmJ+f\nR3NzM93LPvzww/j4449pAYBCoaCiyZOTk1AoFLh27RqH15dALBZziu1Jt1F+fj6OHj2K5uZmnD59\nmqrXSUwmbH3lFXr81U2b8LbJhLa2NlrQkJqaCo1Gg8TExDXvtUjALTMzEyUlJSgpKUFpaSmioqJQ\nV1eHwcFBtLa2+j1Potx37tw5MAyDw4cPIzs7O6TVk8/nIykpCbW1tUGP6e7uhsPhoHSpSUlJAXm1\niEZuX18f/d2dRIfJfpfEUsxmc9D9brBim08SG2al9XULPwkIBAJKvUKoUHNzc9Ha2kpXmby8PJw7\ndw6JiYl0QLIsi0ceeQRvvfUWHn30UY53oNfrMTIygpMnTwYcwDk5OWhpaaHK8r5KcwzD4MCBA3C5\nXBgdHcX5c+fw2B//COGSWzwTHo7hb38bpRERnHOTWurl/MvB4DsQgx0bGxtLidESEhJQW1sLi8VC\nryEQCJCamkpb6FarOfbF+Pg4Tpw4AZPJhKamJkoWQNDX14epqSkkJyfD6XRSsoGqqipO9BjwbkFK\nS0vR2NhIf3c3Gj5kvysQCGCz2SgVDnk/gHei+DR7aYENtNKGivVyj0lTNXBbhbygoIA2mQNeA52Z\nmfFjSwgLC8Pjjz+Ot956iwbP7HY7GhsbV1Sfk0qllGuYaLv6HksCK8nJyfiaSIT7dDr6t1dKSnCh\nvp6uQr7iVqSrxZdLOBh8DX6l4+x2O/r7+9Hc3AyLxQKBQICoqCiIRCLk5eVx7ru/vx+JiYlBz7X8\nvHK5HImJiRCLxZxa476+PoyPj6O8vJym1sj9ymQyThXW0NAQVQQk3+PWrVvrYlAkgk96qK1WK50M\nNoLRbpiVdr0QqlETdnqSCyTBpa1bt+Lq1avYt28fPTYQEwMx3DfffBMHDhzAhx9+CLlcHjRFQkAG\nIVm1iIdBeKq0Wi3MfX346aVL9DPa++9H6l/9FVLcbnR2duL8+fM0aNXd3Q2FQoH4+Hio1WpKK0MM\neaXgEsMwsNvtGBwchE6ng8vloqkwt9uN+Ph4znMguHXrFnp7e7FlyxYolUpMTU35TWzB4Hv9vLw8\n1NbWIiYmBuPj45iamqJeiO+zArzvq66ujjJtXLhwwa/Zo7m5eV2pU8l+1+l00v2u0WjkGO358+fx\nve99Dy6XC8888wx+8IMfcM5RUVGBEydOUIGykydP4sc//vHd3dddfXoVuN3ukFnsCZfwaiAPTyAQ\nICwsbM37OGLU5eXlePPNN9HQ0MAJ/GRkZKChoQEOhwM6nY7S0vgShZFJISwsDE8++SRee+012Gy2\nkFcbUvlECjhYlsXc3ByuXbuGjPR0fLutDaKlfbI5JgZtX/4yAO8gzs/PR35+PqeoQqlUoq+vD52d\nnfQaZCJYvv/q7+/H/Pw8nE4nent7AQBqtRqlpaWcVNvAwEDQZ1tQUICJiQlotVp0dXUFVAkI9r2X\nH1dSUoLXX3+dNtyTeycgx/9/9s47PKr7zPefaZrRaKRR770iiSoQRSDABkSxjbEB4zjBduLsOsXG\nKddJNs7eZK+zu2nPc5O1E9spa8fOOsa4BAwGbAxCNIHpkjBCvddRGY00mn7/OHN+zEgChAGb7N7v\n8/hJGJ05bc57fm/7fl/fFbW6ulqQ4uVtZEbYtQaKXy9kEoJaraalpYU77riDadOmYbPZUKvVPPHE\nE+zbt4+EhAQKCwtZu3btuCTekiVL2LFjx007p5tmtCMjI9TX11NbW0FT01lGRsw4HKNoNArg2iuf\n2+3B47l2TCuvIgqFEocDtFo9BkM4qakzycjIm7R2cFxcHFarFZfLhV6vp7GxUQz5LSkpYffu3YSE\nhJCbm0tNTY0w2rH7lhMrFRUVV2xp9EVERATNzc1iVQTJ1QsKCmLZsmWkHz1KnE+Mduob38A5wYPo\n6xbHxcURGBhIbm7uuB5uueYrG++RI0coKioS8fyVMtzd3d1XFF4DqWRSWFiIxWLhnXfeISkpaRwh\nfiwuXbo0bq7s4cOHyczM9Hu5XLp0ScSvvl5TRkYGFy9epLa2luTkZJEADAsLo7W1Fbvdft1TBycL\nhUKaivjqq6/yta99jdzcXLZs2UJmZqY41wcffJDt27ePM9qbnXG+YaPt6+tj7963aGwsJyXFQ2am\nmoULQwkOjkCrVU16JXS7J9eOZ7PZ0GjUKJUq3G4Po6NOBgdHqK9/n+PH36elxUN29lJWr1531VZI\nu8/0uLHJi+DgYPR6PT09PaJD6kooLy9n1qxZGI1GysrKOHbsmJ+LNxayLlJKSgpms5ny8nJCQkIo\nLCzEYDYzw6eJ4vCMGfR4O32uBrks4tvl5dth5XQ6fV52k/s9fEXNrwaDwUBmZqa4lnnz5l3xGL4z\ndpxOJ3v27GHq1KmkpqZy6tQpOjs7iY2Npbe3d5zrC9KLdvfu3axcudKPjJCQkMDOnTuJiIi4pZMF\nQErMLV26lEceeYRDhw75vagSExMFQ0mGQqHg6NGjzJgxg4SEBH71q1+Nm0l0vbihRNTp0yf54x9/\nQFLSxzz9dCIPPZTC3LkJREUFodNdO5Ppi0/TGaZUKtDrNcTFBbNwYRKPPJLEt74VTWDgh7z00j9P\nWCaAyxI2brebZcuWTbhCJnonpkvnNvEIysHBQZxOJ9HR0cyYMQOtVktYWBhvv/32FV19uTbY0NAg\nElcGgwGNWk3BSy8R4FXRGI6OZldx8aSyoYGBgX5dVLLr7CuTI3dbTWZC+/Wgu7sbo9HI1KlTmTJl\nCh999NEVObXyy6S9vZ2dO3dy5513ilVq9uzZwr0fmx2X0d7ejlKppKOjg9zcXHEdQUFBoqf4Vuod\nw2X51GXLlonWyauhoKCAlpYWzp07x5NPPsm6detu+Bw+tdGeOvUxBw8+x2OPhbJoUQJq9WeTiFYo\n4GreRmCghpUrE9mwQcG77/5qwhkyssavUqkUjeRarVZItIJUc73//vv55JNPSE9P98sqy/CdlxoY\nGIjb7WbKlCmUlJSwdetWMWRZhtwiKYuZ33HHHSKmTS0rI+7UKbHtqSeeIMo713Uy8Hg8KJVKkdyS\nP/M1UN9eZl/j/TSQv1tXVydGcoSFhXHnnXdy/Phx2nwy33C5bbSzs5Pz58+zbt14TygrK4tTp075\nrfDycdxuN6dPn+aOO+6gpaXFr510eHhY5DomI9NzI/DNHickJPj9xi0tLeOOL3ttAKtXr8bhcIzj\nIl8vPpV73NnZyf79L/LYY7GEh9/cwP9mITU1lA0bBnjrref42td+KhIUvoO3ZDidTiIjIzl//jzz\n5s0DpIckJiYGtVqN1Wqlq6vLz62pra0lMTFxwuyswWDgoYceYt++fVy4cEHoMHk8Ho4dO4ZOpyMr\nK0soLETZbEz/618v73vNGnrz80l0Ojl27NiE3UC+x/P9X7is4iAbpq/LDJfLXb4x76dJ6HV0dNDa\n2ohWO4rTacXptAEetFo4fvxvBARoiYyUYsy2tnb6+/vRarWo1Q7Ky7f77U+pVKNW6zh58izFxasZ\nHh7241Pv37+f+fPnExkZ6TcCE+DEiRMEBQWJBOOthK/m8Zw5c6ipqaGxsZH4+Hi2bt3KX31+R/Af\nrHbixAk8Hs8Nzxm6bqP1eDy8//7r3Hmn+rY0WN+VODU1lPz8Jg4c2MOaNfchzwECKZESFxdHY2Mj\nsbGxVFZWivY3XzWE7OxsTp8+Pa41rqmpaVzXU3BwsOiyAoQm79atWyksLBSDomTFjIKCAoYtFh4+\nfJgAb1LFEhtL1Re/CIxXvBiLq62WcqLK13AninflEpHvCi1/fyL09/dTW3uG7u6PCQ+/yIIFA+Tm\nOggIUBIQoESlkpUfI+nu7kat7sRms9Pd3cn06TMYHBzA4xkmNNR3NQWncxS7fZD0dAednTupqorE\n6TTS3T3KuXPniImJITIykp6ennGhisvlQqvVjqPv3Qr4rrRqtZrnn3+elStX4nK5eOyxx8jNzeWl\nl14C4PHHH+ett97ihRdeEPTAN95444bP4bqNtru7G7O5glmzkm/44J8Ok8tGy1i6NJ5f//pDVqy4\nexz39Omnn+YnP/nJuBjwk08+oaCgQGy3fv16fvOb3zB37lyCg4Oprq6ecCRIdHS0UFCQERsby8aN\nG3nxxRcJCQlh1qxZYhiy2+0m7cABcr0uvEeh4NQ3v4nLR2Lnaiug7wN0pe1kQ5Q5p2OVIeUwYWx3\n1li4XC4uXDiNxXKO4mIVJSUGQkMNDAw4SUoaLygnHSLIK+sThtGYQGSkDq3WgMUyRETExDJCCkUw\nGRluEhLC6O938N57dVRUtFFS8gggZZYTEhKEx1RZWUl2djbnzp1jZGTklkunjp0usHr1alavXu23\nzeOPPy7+/ze/+c1x0rA3ius22traS2RnS0mgvwcEBmqIi3PR2NhIVFQUer1e9P9OmTIFs9mMQqFg\nyZIlvPXWW8ybN29cvU+tVrNhwwZeeeUVnnzySTo7OydMQlyJylZaWsr69esJDQ1l165d6HQ6tFot\nIQMDLHr3XbFd7V13YRqTWbya0Y4VUDeZTNTV1V1Rn0lm+chucXt7u7hWuWYsEwl8+8BdLhenTx8i\nNraajRulqoDJ5MZsNqPTje8Xt1qttLS0oNfrmTVrFh0d7QwPS56ELHs6EUymXsLCwtDptHR0tBMX\nF09u7iglJZls374bt1tqm8zKyuKTTz5BoVDQ1tZGbm4u5eXln4ls6uc9xwc+ldGeZP78oGtv+Llh\n/EqcmQkXL1YQF1cy4Q2XXZegoCBO+SSDfJGSkkJ4eDjvvPPOFVP2cu+qPM8WJD2ptLQ0oQt83333\n0dvby6t//jP/+Pbb6LyE+KG4OC489NCE+5xIq8ntdlNZWUltbS0KhTSjNSQkhKlTp15T9WP+/PnY\n7Xb6+vqEHIzcmZWVlUV3dzcxMTHiuBcunCE2tprVq6OE+6tWqxkYGCA393JpZnh4hPb2Nq8AeZYf\nxTAgIIChIQtBQXocjomN1mq1EhkpKWW4XC5qai4RFRVFQkIQGzeqeP31PTgcyURHR1NRUYHZbCY5\nOZlLly4RFhYmsv23EreD0V6XLyE1s18gLe3WDTe6Fq6VPZ4Iqakh1NefnPBhdrvdGI1GOjs7ufPO\nO6moqLhinJiRkUFXV5co6k+EadOmCQnViooKgoKCSE1N9XuAQ0JC+Pf0dPK9GVY3cPDLX8Y1Acsp\nKiqK1tZW8e9PPvmEsrIyjhw5QmBgINOmTWPhwoWkpaUxbdq0Scn0yEyV4OBgZs+ezYIFC5g/fz5F\nRUX09vZy7tw5Ll26RHd3N729vQwNnWX58ghhsAAajRqXy+ntz+6npqaW3t4eMjIySU5O8fMQXC43\nycnJ9PWZrtEbffk7VqvVb6pEVJSO6dP7UKtHRALPZDIxbdo0zGYzfX19bNy48ZrXfqP4vGfTwnUa\nrdVqRat1ERBwK6hJt8rd9qDXK7HZ/GfKyg+OXNdraWkhLi4Ok8nk5xr7xsCygkV3d7ffBDhfBAYG\n4nQ66e7uZnBwkLy8PJHwkdvtDCYThVu3iu9UlpSwvbub7du3U1lZ6be/tLQ0GhsbOXz4MGVlZRgM\nBhYvXkxxcTERERGfKoaTSfe+pS851s3LyyM9PZ0lS5bQ29vLhx/+jby8fgIC/I8jD+KuqanF4bCT\nmTneWMciOTnF+wIab7SDgwMYDJIH19BQT1xc/Lht0tICCA3toa+vD5PJ5CdG0Nrayv3333/d9+J6\n8XdHGLBareh0fx+xrAxJjV6FwzE6YY/s9773PR577DEhYJadnU1dXR0LFy4E/GPK6upqYmJiKCoq\n4uDBgyiVygnJ4kqlUugnyzpSckzpdrmY/cILaLwNCB1GIzUPP8wKjUYoUOzYsQOVSkV6ejrd3d00\nNTWxcePGcRrQn2Z6my+zyJduqFQqxzVf5OXl0dNzitzcSJqbm9BqtUJhxOORRnTINdorQTJGg7iX\n8fEJVFVVTrCd5Oo2NDQQFhaO0RiCzTZKf/+A2EalUjBlCtTXd9LS0sLdd98tztVms93SSXky/u7c\nY0lW5VadymRx9eyxr/sslzN0Oi1qNRMmaHJzc7FareLHj42NveKkdJfLJWqcJSUlNDU1+TXpyxge\nHpa6nLw6RvK+nU4nmR99RPT58wC4FQr+uGgRisBAMZsmNzeXlStXEh4ezsmTJ+nv72dwcJBjx475\nzRyCy33YIMWY1yJnyF6D/J2xbqpKpRKcXLfbTV9fH4GBA1gsfbhc0r9HRkYIDw8nLCwMvf7quQ2F\nAsxms1+5TKfTodEE0N/fN2ZbBY2NDYSGhhIaKkkORUVFMzIiXXNvrwmjMZTk5EAuXSoXusk1NTWT\nJmrcDHzes2nhOldaaaW6Vady8+F0yhQ11VXPe6zEzMyZM9m9ezf333+/WGmbm5uJiYkhMTGRM2fO\nUFxczKpVq9i3b5+QbVEoFIJb2tvb60e7c7vdBHZ1Me3VV8VxL951FwetVvK9/1YoFHR3d3PhwgXy\n8/OZPXs2KpWKY8eOMW3aNI4cOSK6qhQKBTabza8byVfgbCzkOPBqqgsWi4Xz589TWVmJxWKhvb2F\nJUtGSE3N8asW9PT00tbWSmDg1eJn+YUw/sYbDAYGB80YjaFeN3uAgYF+kpOT/TTCpBewtJ+RkREi\nIyPQ692MjNQQG5tNV1cXfX199PX13dLJ776w2+0TTr34LPGZ8Gl/+tMy/vVfD2GzXc4aarVqPvxw\nM4sWJaNS/R+fPlkl1dXfJCnpxgTe5LKGVjv+BsuuqmyQ6enpVFdXA5cTRSDR0+TVqbGxkeLi4nF0\nw+XLl3P8+HFKS0vxeKRRkkuXLmVgYMAvHnba7Sx68UXUXrd4KDGRuocfxv3CC2KbY8eOodVqWb58\nuagdy4R3nU7nN+HO7XazZ88eTp48KcZXms1mEhMTxXF9S1DyeXd2dopEWnV1tREka18AACAASURB\nVJ9msE6nY8aMGUJH6syZMrKzFT7GI/3/qKhIRkaG6ezswmTq9epajXfa7HYHavX4l4TH4yElJZnW\n1hYSE5Oorq5m6tRp6PUT8Za1DA0NiZduS0szOTkxtLbqRba4r6/vlhMFZHzes2nhMzLaH/1oMT/6\n0WLmzv0DJ0+2o1QqqKl5ksREyTgcjn8mOfn/8u1vz+epp+ZddV/Xzh4rfLp8NJNqzwsKCvIT0Z4+\nfTpnzpzh2LFjosfV1xDkqXFypnbevHlUVVWxZ88evv3tb6NUKsnLy+Ps2bPMmjULl8tF5ocfEuVN\nMnmUSk5v2YLbywe22WyUlpYya9YsEVv7Uu9SUlKorq4mNzdXrJRKpZLY2Fhyc3PFOIxjx46JWHws\nZIX9xsZGP8rd2K6ugYEBcV1O5yiBgRIN0uPx7b6SOqoiIiJwuz20tbURHx/vjZEv3+/u7i4SEsb3\nAisUoFRK11ZRUUF0dPSEBiv/NlJPbxJm8xBqtYqQECmOl4kJnZ2dn0kSCj7/KfDwGcvNbN48HZBo\neK+9dk58fvRoCz09Izz88PSbeDTPhG/5iTBjxgwsFgsWi0WInbndbpYvX05FRQUWi8Wv2WD69Onj\n6rkJCQmEhYWxa9cuhoaGiIyMxGw2S6tkWxvTfIY/19x3HwNeBUGXy8XevXtZtmzZhGr+srBZf38/\nLpcLu90uXiByFhgQQ6cmgsydnUwSpampSTS9u1yjXnqlnKySDNJqtYr9REVFERYWTlNTE06ny3tu\n0nl4PFzBHVfQ29uLzWZHpVJdtRdXoZBKRsHBBjo6OkhMTEKnk66pubmZ0VEpwbjZKxRwq/F3V/K5\nUTz44FTBBnrttfPi89deO89dd2URFnbjvczyg6vRBDDZMtKSJUtQq9Xs3r1bfKbVajEYDISEhLBv\n3z6/1Wkiju2pU6fIyclh06ZN7N+/n6qqKkm3yWaj8MUXUXubKMzJyVQ/+CAgudwKhYKwsLCrxpqy\nmyvPN5K1oCbjqsm6U7KO1UQMGl+YzWZBJJeYQ/7yNAqFEpPJRETEZTJ7UFAQycnJNDU14XI5cbnc\nVxV7k+q1DjIyMggI0GC3j08Q+p+/k8bGRpKSpJeJUnmZwSTfg2vJ/Nws3A4ln8/UaKOigigpkXp2\nL17s5eTJdmw2J9u2VYlV+Nq4evZYTihdrX45Vkdq+vTpaLVav1m1s2fP5uTJkyQnJ3PhwoVxxhEe\nHi6I2FKWNVAcd926dZjNZlpbW9H+4Q9EXbgAgFt2izUaoTp4rZKJDN/yjLzqy7H11fixssHKbvhk\nVomrhRTSnzxoNGrgMhFBpVKTnp5Gc3MLbrdLzAHyvc/Dw8NUV18kKCiI2Ng4PB43er2e4WHLlQ6H\n2WzGaDRit9v9El+yMF50dPQt7zf2xe2QPf7M1Rh9jfO1186zc6c0wOruu7P9trNaHTz7bBlPPrmb\nZcte44tffIfm5vHjFX0hJVWuX0JTqVQSFRWFTqcTCvwBAQG43W50Oh3Tp0/nnXfe8ftOfn6+4Nie\nOXOGmTNn+pVL5s2bx8aZMyk5cEB8p2b9egYzM6mvr6evr4+5c+eKVfR6ua3yS0SO3+Us9dj74etC\ny7OKbg5ktpDM6pESe+np6TQ3t+BwOAkIkMKMF164wC9/eZyenh5ycnJEcrCjo5OoqGjCwsLo7e2d\n8CiSV+EaV17q6+tjaGiIadOmfaZG+3dXp70ZuPfeKQQHSw/OG29U8vLLZ3nggXw0Gv+yzL/+62Ee\nfXQGzz23mo8+2kxgoJolS/5MX9/4+qkEDw6HHbX6093Q/Px8XC4X3d3dwojkWuDo6CgFBQUc8Bqg\n/IAqlUqGh4eFah9cblRw2GwseeUVdN74szksjDN33017eztdXV1i3KXb7SYjI4ML3tX4SoiIiBg3\n71UWO5fjVVlNUYavwQKTWmmvZQAOh9PHlVcgJ6WkeyZ9mpaWysBAPx6PhxdeqODw4TaqqqwcOOBf\nR3Y6HWi1AWJs5VjYbHZGRqwTMKo8mM1mDAYD9fX1Qunws8DtYLSfee5ap1Ozfn0ur7xylp6eYd5/\nv4ZDh77st83oqJPnnz+BVqvin/9ZmnL+/e8v4tVXz/PaaxU8+eSccft1Ol2AQjzAkgs9+aKyPGoy\nPDycmpoa8vPzKSgo4NVXXyU4OFg00p85c0YQBvLy8njrrbe4//77/ShyarWa9O3bifSWkVxKJdU/\n+AHv7d1LT08PX//618VxFQpp2JesjHglZGRkcOLECb86rJxgUqlUmEwmGhsbcbvdwqjcbref0TY1\nNWEymYTh1tfXExwczLRp04R7f61se3d3t0/CzF/4XDJcN52dXSQnp/Czn5XR3a3hlVfuxO328MMf\nnuIvf6mlqEjJ6KiVgIDLq75OF4jFMixaGUHq3Y6JiR53TlarFYvFwvz58zl8+DB/8Uny3WrcDu7x\n51Jw2rx5Oq+8chaAtLQwFi705+a6XG4iI/VYrZfrusnJUnmovr5/3P6khISDgIArz2DxxUTu6AMP\nPMArr7zC3LlzRXODTCKXi+kLFy7k/fffR6/XM2XKFKKiorwdVzrhFisUCrSNjUzzITt/UFiIJS2N\nkIYGiouLeffdd4mOjmbhwoXiPK61wskZbd9rbm5uFgTwsLAw0tLShNKi3Fc8Vgx93rx5wqitVit5\neXlUVlYyOjqK0+mcsBPMFy6X05vkg4leik6nk/b2drTaYPT6CL73vUg0GunafvnLQn7724tYrWo6\nO7tISbn8u0dHR9Hc3CKMtqmpGYMhSLxgpPskvYh7enqIjY0VzSvR0dFXPeebif+RKy3A0qWpJCaG\n0Npq5otfHM9LDQoKoLb2Sb/P6uulHtS0tPFZQqmdT31DsU1cXBwGg4Ha2loyMzOpra0lOzubqKgo\nv3hr1apVvPnmm6IDKTY2lr6+PqKioqSHyOFg9m9/i8qbJBpMS+NUSQmNe/cyf/58MXirvb2dd999\nl5aWFtxuNyEhIfT29o6TGPWFPPGgoqJCZJ2Li4vFg3306FG/PmLZXZZjbdmQfWEwGCgsLAQQk/cO\nHTo04ezdsfB9P9rtNq8ipFQGSkxMIj9f6p7q6+snLCwMpVLBk0/mUl9f7/fivPyi9eDxSKND7HYb\ncXHxmEwmAAIDdYyMWL2D0syUlGyms7PzM41npeu0/88q+chQKBR87WtzCAoK4JFHrqyt64s33qgk\nOjqIRx+dga9b5nbLwt83/v6ZO3cu7e3tzJ07V9DrwsLCxglx3Xvvvezfv5+amhpWrVpFZWWleADT\nd+wg0jsd3q1Sceapp9CHhgpNXrnLKS4ujvXr1xMVFcWOHTtobGz0m0kzFr29vdTU1NDgXa0XL15M\nYGDgOG0ou90ueqTl6W/yxPRrJbt6enooKiqiuLiY6dOn09LSQmtrmzBeSd3C3+hNpl5qa2toa2sn\nLS0NvV5PTEysEJqLiYnGbDbjcjm9mWYpIxwVFemnquHxeIiIiOTSpWrRwGI0hogXg8FgwGKxYLWO\nCF2rvr6+Wy7kNhb/Y91jgB/+sJgf/nByIlzNzYO89NIpXn75XsLCAnG5ZLfZ4+Ou+NYTpcL+9fZJ\nz5s3T0ysmz59utCw9Z1BC5Krdt999/GrX/2KoqIiIdcSaTKR76NEcWnTJkyJiTQePChWUI2XzeNw\nOFAqlRiNRlatWoXT6eT3v/897733HmFhYSxYsEDE54cPHyYkJITZs2f7lTjGZozDwsIEgV3eRtZ+\nkuu6voT6iVZSeX9BQUGkpKQQGztAS0uLyKZHR0dhs43S1tZGb69J6B7L+PDDLl544SQOh1skpgIC\nlHz96/1s3jyDwsId3s+bUakUbN++jJiYQDweN2bzIDabjfDwMEymPu+9lvah0+no7TVx6dIlwsPD\n6O/vp7q6mrfffvv6fuQbxO3gHt/2A7gcDhf/8A/v8bvfrWH1av+aplSTVaBSXd9lXKnEsmHDBsxm\nM/X19WRnZ4vETkJCAidOnBDfBaipqeELX/gC+/btIzExkVPHj/PogQOovEyigYwMatav58iRIyxa\ntIgpU6YIt1aePCdfg5zlLSgoYPny5eTk5LB7927+8z//k5dffpnCwkIKCgqYMmWK31hH3/MByS3t\n6uoaV1P2HZjscDhEP/NkR1OmpKSgUqmpq6untraOzs5OUlNTiYiI8OvicjqdLFsWyZEja1i2LN57\nfvDHPy7i7rtTGBgYoLT0TkJDVWzZksvx43cTGxuIQiGpFno8HiFIEBsb4xPHAigYHraIkTDd3d0i\nlr8Z+s2Txf832kngu9/9kO98ZwH33y/xVuvr+/F45OSTVAu8WQR6pVJJSEiIMIxVq1Zx6tQpPxaQ\njN7eXtLS0ti4cSMVFRXk791LureB3a1Wc2bLFjpNJlE2iomJob+/3+9YGo0GlUol2hPlnueIiAj0\nej3FxcVs2LCBw4cP8/7777Nv3z5qampEz+1YwzMYDIyMjFxV5E2efyS3Q/q+vHy/19vbS0NDPY2N\njdTU1GKzjZKUlERwcDA63cTDvzs6OoiKkjyBNWsSvecIu3a1EBERzuCgmaNHWxgacrN2bbJozGhu\nbkalUhMfH09wcLCXr+theHjEh/DhETQ/j8dDf3//Z5qAknE7tDHeZlPz/Lud/uM/jrNmTSYrV0p1\nOofDxbZtF/jud+eJ5NNE7BIJ11fykTFz5kxRfgkJCUGv14u5NhcuXCAnJ0c6U5/V+qGZMyl++WWx\nj+oHH2QoNZWKfftYtmyZ+NxgMNDf3+/HL5XbE+Wk0dDQEHv37qW4uFiQFeQ5sAA7d+6krKwMu93O\nxYsXfeRYokhKSrpmJ5i80ssvi7a2NhobGxkdHaW2thaLxSIkeBITk0hJsRETE+glpPcTGxvHwEA/\nTU3NjO1Mc7ulfm+FQsGiRTEYjQEMDtrZu7eNp5+eRlRUJC+8cIpZswyEhelwu93U19cTHh5GaGgo\nHg+MjFjRarUolSqGhy3o9XqvIF0jarUGo9FIQMAwzc3NPP3009f9+94oboeV9jYz2sv4298usnNn\nDStWuDh/Xhrb0dY2xLx58eINPZESoIRPv/L+/Oc/p6ioiEuXLjFlyhQx6iIpKYn9+/eTnp7uJ0Wq\ndLuZ9ZvfoPHGh03R0dTefz9NTU3juK0FBQWUlZWxdOnSccdVqVT09PTQ2trKpk2b0Ol0EypthIaG\nUlRUJAxwxYoVuFwumpubOXv2LBcvXvRS2RTjvl9XVydIER6PR4zJzMrKQqPREBoa6icde+zYdkDq\nme7u7iE+Pt57DmHodIGcO3eOtLQ0FAoFw8MjBAQE+MTSSlauTODNNxsYGLBz5EgXSUl2Tpyw8Nhj\ncTgcdurq6klKSkKvDxTn5HbL4ukSiyc8PIKBgQFUKjU6nZaBgQFCQ0MZGGhgw4YNVxxBcqvw/432\nCjCZRnj00e1YrU5KSxvF5wqFgi99aapQ9/u0xnm1tkGj0SgYJPIQqPnz57N161ZycnLo6uqiv7+f\njIwMqW3v7bcJ87rTDqWSd+65h4+3bSMsLIySkhK/ffsq/49dEVtbW2loaGDTpk1UVlYKSt9YEfH4\n+HgaGxv9pg4oFAoSEhJITU1Fp9OJUSVjIU/Mk6FSqZg3bx4ej4fTp0+TlJQkepXHYmy5SKfTER4e\nRl1dPenpafT29pCQ4D9xYc2aRN58swGAXbtamTtXi9sNqak2GhoayM7O8rk2Bd3dnYSHh9PXJ4VA\nbrdEWOjp6SEiIhyr1YrD4WRgYISIiIjPhdcqT4f/PHFbxrQREXoGBr6PzfYMdvuPxH822zPMnCnF\nMVdjxdwoYmJiuHTpkhDEnj59Ona7HZvNRnV1NX19fVL81djIFJ8mivfmzKHJYKCoqIiLFy9OOP9n\nxowZ40o7HR0dopRjMBi8kwE1E053T01N9VNn9GW6XEl3+VpQKBSMjo4SGRk5jv53eZvx31OpVKSl\npVFf3zBhDXj69HCSkiQXv7S0gwMHhpg/PwSPx0F2dvaYiQZSm6XBEIxarfKSITzel0I6w8MjBAXp\nAQ8Wi4Xs7Ozr7te+GbgdVtrb0mivBI/n6pQvGdcmyl8d8sBiOWMcFxdHaGioGCo1MjKC22Zj5q9/\njdKboOrPzubD6dOJiori5MmTPPHEE/T39/Pee+/5JbFCQ0P9+mxtNhtVVVV+M2hk+p2sG+XxeIQh\njZ27I79YfIdufVqMpf/J3NiBgX4xotIXsqHq9YGMjtomNGw5IWW3uzlypIc1axKJjo6mt9fkt11P\nT683Eyz1WQ8M9DM4KNEEZeK5FPOOYLEMs3nzZtG99Vlmj33bRD8vXJfR+jaFfx7wFTK7Xvie97VY\nNd///vcZGBjgvFeATZY+XbduHR0dHXR0dJD97ruE1tcD4NJoOPvUU7gUCvLy8ujv70ehUDB//nwW\nL17MO++847fqJiUlUVtbi8vloq6ubpx6xIwZM0Rzh0IhTbvTaDQ4nU7sdrs4d985PDcTMv1PIqC7\nGBw0T8hXlYzFg81mJykpyc8DkLF69eX5rXFxegoKIjEajUKwTcbw8LCQ+dHpdAwMDOLxuAkPl2vP\n0Xg8boaGLAQEaEhMTBTXLWeb/6fgun5trVaLl8v9mUOS9/QQEKDB5bq66uD477pxuZi0WzNz5kyh\nqWQ2m0UjhFKpZP369fz1Bz8gx2cEZdWDDzKUmIji3DnOnDlDbm4ubW1tJCQkEBISwsaNG/n44495\n++23Wb58ORkZGZSWltLU1ERmZua4+FZ2kX0hl4jkbqehoSGx0sk9uNXV1dTV1U2YwFIoFDQ1Nfm9\nsOrr68nPz7+ivpJCofTWdj3eLqTxc35GRyXmUFCQntHRUXp7TWJSXm+vCavVRFZWIDU1VlavTsTh\nsKPRBOBwOEX8LK+yMkZGrAwPWwgLC8Pt9gg+cH//gLeTyiReZvJLbGRkRHgJt3rl/SxX9olwXUar\n0+kYHb11b7Qru7Uer4ukmWSXk3/paHTUiU4XdF032+12s3r1at544w2WL18uEkiBajW/HhxE5XVL\n+3JyqL/3Xpx2Ow6HA4vFwpIlS9i/f7+ftGdhYSGzZ8/m/fffFx1WSUlJV5xWEBAQgNVq9RNOl8s1\nU6dOpaKiArfbTVVVFWazGaVSSUZGBrm5ueTn5/t9T4bH42HBggXi38PDw/T29vLJJ5/Q0tJCRkbG\nOAOW4mWN98XgEpREWYurs7NDDByLiAinubmZgQEpEx4SYiQyMoLVqx3U1NRy112J2GwWQkJCCAkJ\nprOzi4SEeIaHh4mKihTHa25uJjo6GofDQXt7G/HxCSgUSszmQaGS4TtsW6fT4XK5sNlsIlH0ebuw\ntxLX5R7r9XpsNhV2+/UTzW8EDofTu9KpuN6peQCDgzaCgq5vlElubi6Dg4MMDQ35KRZmbN1KircX\n2a5Scfapp1AFBIjYU+a1xsbGCkK9DKVSyd13382cOXOoq6vjyJEjV2zKnzVrFqdPn57wb0FBQaIP\n2Wg0smDBAhYuXEh8fDzR0dHjeLdXgkKhECvt8uXLMZlMlJWVCWVKkGJNiR6nFIYgi5q73VItXPYU\npOHONurq6snKyiImJpqhIQtqtY68vFBSU6XGicBAnfAaurq6hLyN0+ni0qUasrOzsNsdaDQBwpvo\n7OxArdYwMDBAdnaOiPNlqFQqMUhsdHSU0dHRaxIe/l5xXUYrTdrOo7Fx4Nob3yRIyacba9Kurx8g\nNXWW+PdklCJ+9rOf8cEHHzB//nxefvlloqOjsR0/zhSfXte/5uez3RurKhQKRkZGSEpKkkTJMzOp\nq6ubcN/nzp1jy5YtTJ06lcrKSnbt2sXgoL8qh7x6jMX58+c5ePAgsbGx5OTkkJCQ4Jdljo6OvuIg\nqitds8lkIiYmhry8PBYvXoxWq6W0tBSLZQi32+UjLKDwqiiqRCNIVFQkfX191NbW0tfXh9GYwHPP\nmfnGN8pobe3GaDSyZ08rd92V5D0Ht1/SzGodJTjYgNvtpqbmEjk52V5xAQsOh13Uujs6OggJCfYO\npVb51YR9lTs0Gg16vV78Hr45gP8uuO7scWbmHGprr6zpc3Ph8Wrn3licUlsLGRnjx3dcCbIL6HK5\niIqKwmq1khofT9FLL6H0GpIpN5fGe+8lICCA/fv3A5fJAHKrYGJiIlVVVX4PTUtLC9HR0ahUKoqL\ni9HpdJSUlHDixAnee+89vxlBMl0PYGhoiA8//JDQ0FAWLlwoZE5l6p3Mt5UN+ErXdaXPff+WmprK\n0qVLsVgsInYeu73bLTX4t7W1Y7c7yMjIJCkpib172zl/fpDy8n6OHOmgsdFFa+swa9cmjzsHp9NJ\nYKAOl0uKx7OyssRqLitkaDQBtLW1olZrsNnsTJmSI77vdrvFvZapiPIxtFoter0el8uF1Wq94njN\n68HtYvyfwmizqanB6xrdWrhcUsnBNzs6mXKO7zZWq4OODqXfsKbJwG63k5qais1mo7CwEN2vfkWC\nl9vp0Gg4u2ULs+bMwW6XVoNdu3YRHh5OV1eXeONnZWXR3t7uUz6RiAZTp04FEKoTLpeL5cuXi9k0\nO3bsYNeuXRiNRqqqqqiurubs2bMsW7ZMdCVlZWXR2dnpR6LXaDSCByuTAvzvy/W9+BQKJXFx8dTX\n14sMbVtbK7W1NVRXXyQ4OITs7Cyio6MERTI9XSoNBQercbnc/O//fZof/GA6ev1lTSuQKW5qrFYr\nly5Vk5WVPUYaZ5T4+HhsNhujozbvPXQxc+ZM4LKwmzzr1/e65XutVCrR6XQEBAR493NzXObPOxF1\n3UYbHR1NcPA0zpzpvBXn44OJaXfXi9LSdqZOnXgu7ZUgx7Avvvgix48fJ669nYd84tMT993HsNd4\nkpOT/cTJfdvqlEolBQUFnDlzBofDIaaY+yI1NZVjx46Jf+fn53PPPfewZs0a+vr6OHjwIEeOHAEQ\n8bJarSYmJkaoTciQBc7lbKvMrZUN5UoP7JUeQpttFK02AIVCcsurqioxGkNJS0sjKMggRnjImXWP\nBxYsiGTz5gzcbg9bt3bz1FN5rFw5nvPa1tZGeHg43d3d5OTk+GlUO50u73VqaGpqIj09Hat1hMjI\nKOESy1RJ+dzVarVIQPk2iMjJO3ls5n8Hl/m6C3wKhYI1ax7itdeeIS3NSnj4jWsVTwT/5NNEuDYh\noLFxgKqqEB5/fKXf51eLaWWdYLl8oHI6eXDvXlTe7ZtSUji7aBFy9TErK4t9+/YxZcoUFi9ezL59\n+1i8eLFo9o+MjBQucnNzM4sWLfJrFQwKChKT6Ma2x42OjlJSUkJISAhRUVF88MEHooVT6vcdntDt\n8yUF+FL/JiIT+AqPOxwOKisrhVpEZ2cXfX1hzJiRRnp6Bu3tbWIekBwK+B5TpZLu68aNofzDP9yB\nSqX0m3onw2wewuFw0tnZRVxc3IQtnYGBejo6OgQP2WazMWfObODyS3Us20b2cHyv21eET/5Nx2aZ\nr2fl/LxXWfiUvcexsbHcccfj/PnPv+WRR2JvouFKmWFJ+tM54Ryeya26CpqaBnjnHTvr1v2vSQ1a\nliHXR+WZrT8LCiLOG1eOKpX8U0wMc8bEjLNnz+a9997jwQcfpLu7m/fff5/Zs2cLlcAFCxawd+9e\nYmJiCAgIEGR0tVqNwWAgJiaG8vJylixZIvZ55MgRUlJSSEhI4ODBg0yZMoUVK1ag0UijTpxOJ6dP\nn2bfvn0YDAbRKaVQKMRsH6VSKebQyowamUwAkrxMU1MToaGhmEwm4THMmjWLuro6HI424uM1wqji\n4+NpbW2ju7ub7OwsGhoax90/t9uDy+VGrw/E7fZgt48v7NfW1hITE0NCQjzNzS1+deWREasoL9ls\nNuLi4mhoqEen04mklMt1OZadCLKBymIDctwvewTyDGGbzSYaST5r2ZobwadupZkzR9Ls/eMf/0BR\nkYn58+PF9IAbw/XN4RkLq9XBvn2tVFWFsGHD/yI1NfWKTfBj4Xa7sVqt4kFXnDzJ/NJS8fej69bR\n2tODef9+P7WGsLAwETcpFArWr1/PgQMHaGtrExpONpuN2NhYsRrILpxU+x5Fo9EwPDxMUFAQp06d\nIjY2VrjSAQEBWCwWISAHkjs4Y8YMgoKCxhEEZGKA3EElw+VyUVRUJDKvHo8HrVY74fyf9vZ2L3d1\nyOf+eIiJicFk6mV4eMRv+oCMtrZWEhLivS8RSeJ1cHAAo9GIy+WmpaWVjIwMEhKk8CIoSI/FYhFt\nkl1dXWg0En85NTUVgObmFsGMkktNk+G0yo0n8qorPwfyy0wWBRgZGUGj0Vz1RXA74YasbPbsQr76\n1Z/R0jKXX/6ylb/+tZmPP26jt3eE0dFraxJNBMnlmtwcHrfb4000DXH0aCuvvtrCr3/djdW6nK9+\n9cekpaVRXl7OnDlz6Oy8dgxutVovP9BWK7qvfx2FNw6sjIzEsnmziBvlFkcZiYmJlJeXi7jxjjvu\nIDY2ljfffNNbGonya2VUqVRotVqCg4Pp7+9nzpw5nDhxgoaGBjFQWsasWbMEGd8XkZGRwpX1hWyQ\nciwn/xcYGIhWqxUr0NUgXacWu12Ogz1eedRO8vLyaW9vR6XyPx/5hSefp0KhIDo6hsHBQXp6eqiu\nriYwMFAYLIDBEIzFIrU0mkwmjEYjXV1dxMZKq6rkytqZOlUaCCrJ5qgmPW5Sfkn6Zpl9S0QBAQGC\nszsyMjJhAk/G7RIH33DTanh4OF/4wj8yMvIl6uvrqa09z9Gj5xgZMeFwjKLRTD4OcLvd3ra4q5Hb\nJRFrqRdXQUBAIAZDOKmpRcydm0dKSopfj/KCBQvYsGEDJSUl7Nmzh/j4+AljWnlVMhqNjI6OEvDv\n/47SOzDaFRjIU8HBPKVUilGSbW1thIWFkZR0ubc2PT1dlH9A0ipOSUnh9ddfJyQkhIULF3LixAkh\nVA6S4TU1NSEP/rpw4QJr1qzxO7cruW6ycY5FSEgIPT09fsoOY7PMcqZVzDO9PgAAIABJREFUbgrx\n/Y0aGxuJi4vDbG7DZnN5fxs5meVCo1ETExNNU1MTycmXr7+zs4vUVP8svcfjpqenh/j4BHQ6rffY\nl2cEabVyuODBbB5CpbocewLU19dhNIZ6jy3pTtlskzda33ul1WrFdcvxrrzyTqar6lb0eX8a3LQz\n0Ov1TJ061VvOeAi4PBN1spBnuspJnCuhv78fo9GITqeb8IEeu4o888wzqNVqSkpK2Lt377gpbfJb\nVlY3DDhzBv3vfif+7vy3f8P0yiscOnQIg8FAa2sr9957Lzt37iQsLAyDwYDH4yEjI4Pt27f7jcFU\nq9Wkp6cTHh5OWVkZOp2OwcFBkXk1GAyMjo6K8ZlyEkVOkMgrd2pqKpcuXSI7+/L4FNn4fAdxtbW1\n0draSmVlJQkJCcIYHQ4HHR0dIr6V+5VBKm/JMZ9CoaC5uZnFixdTWWlmcFBWUZREyGNipOHNLpeb\n0NBQIfva22siNDTUz/g7OzsZHDQTFxeH0+kgJMTI8LDFSyd0o1JdZixJ4nEaVCq1tzlCOq+Ojk42\nbFiPxyOLsysZHHRhMBiu+oxcCXK8K7vMMmtHqVSKriqn08no6Kjwhnzv4edNy4NbTM2T32CT/S88\nPJywsLBJb389yYPvf//7fPnLX2bFihXj2CiySxQQEIDLYiHwG98QbrF98WL6H3iAkpISjh49SmFh\nIQqFgmPHjrF+/XreffddRkdHxQ+7aNEidu7c6bd/t9tNXl4e69evR6vV8qc//Um8zORrqKurIykp\niaSkJJqbm4ULJxtkamrquPbEgIAAkpKS+PjjjykrK6OsrAyLxcKKFSuIj49n4cKFFBUVUVRUxNSp\nU5k2bRoLFy6kuLhYtFL29PRQUVEhBN98CfqRkXE0NEgGC9IYD1ktxOGwExkZicUyjMvlwmIZIixM\nWhHN5iGqqy8REBBATk42kZFRDA6ahXCbSqVEpVJ6iRxuL7ldKk+FhYV6cwpQW1uDRqMmISFBrLJd\nXVYCA+MFI+jTQHaZ5QTUWJd5bFeV/HyMNdo9e/YwZcoUsrKy+PnPfz7hsbZs2UJWVpYfc+tGcVul\nzOQ33rUwmTbEif7+3e9+l3/8x3/knnvuoaWlRWwnr4wejwfNT3+KUp4KbzDgeukl9AYD3/72t7Hb\n7Xz88ceCMN7a2soDDzzAtm3bxOo+depUFAqFiHnHnsfy5ctZu3Ytf/jDH9izZ494IBobG5kyZQp5\neXk0NDQITquv6xoUFITZbPbb36VLl6irqxN6xdnZ2ROS4UdGRvxcSq1Wi1arZd26daSnp1NeXk5F\nRQUXL14kLi4Oj8fjvUYFNpuTrq4uoqMvkwkk0W4tCQnxVFZWkZCQiMUyTE1NDWbzIDk52cKjaWtr\nxWgM8aPfSWUpyf0cHBxApVKRlJRMZ2eX8EKGhoYICwvH45EmG6jVKurqBkhPL7zqbz9ZyDGtHO/K\nq6/8N61Wi06nw+FwYLVaqaqqEkbrcrl44okn2LNnDxcuXOCvf/0rn3jDKRnvv/8+tbW11NTU8Pvf\n/95vHMyN4LYy2puFq8XQ3/rWt3j88ce55557hKCZSJ4cPYrmP/5DbGv/t3/Dk5yMWq0mJCSEoKAg\nHA4HZrOZqVOnUl1djVqtZsOGDZSXl2O329Hr9QQHB2M2mxkYGKCtrW0ccyYzM5OCggLy8vLYtWsX\nH3/8sciUgjQjSDZ6WYDc6XSKRg2AixcvUlVVRVZWFqmpqdfMjo9lDMn3SaFQEB4eztKlS0lMTOT4\n8eMEBwdjt9tRKBTo9Qm0tEirTWDgZaOXBOI1WK1WXC4nDQ319Pf3kZWV5Scg3t7eTlSUFFv79h3L\nkJQvFYK543Q6GRqy0N3djVKpZNmyO8Uqq1AoqanxkJbmP2HxRiG7zHK44avcIbvM/f39PPbYY9TV\n1dHW1saJEyfIzMwkNTUVjUbDgw8+yPbt2/32u2PHDh555BFA0tQeGBigq6vrxs/3hvdwE/FZpdu/\n/vWv881vfpOSkhKR0XRbLFK22LsyNhYVYfnCF/zO7aWXXqKpqYmRkRGOHTvGrFmzKC8vR6fTMXv2\nbLZu3SqodgsXLqS8vJzm5uYJZ9DOmzePCxcusHbtWgwGA9XV1ezcuZPm5mbi4uLo6+sThiELhcvK\n+ocOHUKhUAiBN71eP24FHouJjHYsoqKiyMrKora2lsbGRpxOJ/HxeWzf3kFEhL9cqdTS2MbFixeJ\niopGpwv0S8qBNElAoVASHGxAovL5H6+pqRmbbdQ7l0eFSiXVZ/v7+9DppFgyKipahAjV1SZGR1P8\n9LFuFuSGFN+uKl+XOSEhgXe9QvQzZsxg69atftebmJgolE1ktLW1jdtmIqGA68VtZbSTxWTc42vh\nq1/9Kk8++SQbNmyQ3NF/+ReUXoE2t8HAc3l5/MZn1QVJcWJ0dJRHHnmE/fv3ExwcjEqloqOjA51O\nx6ZNm3j33Xe9D6tkVNXV1ROugkqlkvnz57N9+3bCw8NZtWoVd911F52dnezatYuhoSEOHjworlfW\njBocHGR0dJScnBx0Oh02m41p06ZRUVEx7h75YnR01M9oJ2ppPHfuHLm5uRQVFYnuqOjoaLq7Izh7\nVkog9fX1U1tbR29vL8PDFmbMmOGd0O7/e7hcLnp7TcTFSYmr4GADo6OXh3u1t3dgMpmYPn2693wv\nj9wYGBjEYAgmISHRy+EFi8XB3r3DlJQ8dEu5smNdZl8igkajoaCggOPHj0/6xXGj/d8T4e/SaK+F\nyRi1y+Vi8+bN/OAHP2DlHXfQ8Pzz4m/2n/2MNQ8+OOHIiS1btnD8+HEsFgudnZ0UFBRw+vRpkYXc\ntGkTTU1N1NfXExISQlhY2LiarozQ0NBxguGFhYWsWLGCFStW0NnZyeuvv86ePXtoa2ujtLSUxYsX\ni1Y8jUYjkiPXaoQfK7Ld2to6TvfJYrEIbmteXh5arZbt27eTnJzLtm1mtm07h81mIzMzw9t7HCpa\nL8PCwvwogY2NTX4kjZAQo+jLbmlpoauri5kzpTlO8nPc0dGBydRHZGQkXV1dLFmyGIfDydCQg9de\na2fWrM1+YcSthG/bo1wmkuf7ZmRkMG/ePJEXka9p7FyhhIQEv21aW1vH9Z5/qnO74T38ncLlcqHX\n6/nyAw/wL8Ay4CJgX7YM96OPMm/ePAYHB/2ocgD33HOPd2xFrFgJFy1aRG1tLQ6HA4VCwaxZs6iu\nrqa8vJzIyEhsNts410lGeHg4ZrNZ8Gll/d/AwEAeeeQRoqKiWLFiBR999BEmk4mjR49iMpn44IMP\nUCgUWK1WkfH1NX6ZDC5j7DSC5uZmvwl9cmOJ7Pp/+OGHNDQ0cPr0aZRKJV/84pOYTPM4cEDSnx4e\nthATc9llDg4OFqFBS0srsbGxfuNaVCrp/C5dqsFqtQr5VJlID9J0d7vdTlRUJAZDEG63guPHO3nx\nxR5yc7/I/PnjO7duJca6zD09PeJ3nDNnDjU1NTQ2NmK329m6dStr1671+/7atWt59dVXASgvLyc0\nNPSK0j7XA9VPfvKTn9zwXm4S5BritSDXFa/kJslN9FeqqckULb1ej+af/ok5Bw8SATyiULDsueeI\n8gpwd3R0UFNT49cTDFLmtaqqCoVCQWNjIwUFBUKlwmg0igfYaDRy+PBh7r33Xk6dOkVUVJQfKaCu\nrk7oLLe0tJCZmSkaQ2QDMxqNfPDBBxQUFFBcXExmZiZTpkzh7NmztLe3C0nX/v5+Tp48SX9/P319\nfbhcLvr7+4mIiBBi5nFxcfT399PS0kJFRQUdHR0MDg5SX1/PgQMHCAgIoLOzk9zcXHJycjhy5Ah9\nfX2kpqaSmJhIWlouVmsUb7xxnMZGNx6PCo/HLTwbi8WC3W5Hqw0QGWAZfX39NDe3kJCQgF4fJITi\nhoaGvKR6BRcu1BIaGseJE00YjUt4/30zSuVc1q9/grS0DKG+eL1N/jcKuQvuxRdfZM6cOSxYsACl\nUkl2djZf+tKXeP7559m8eTP33XcfL730EqdOnWLOnDlkZWVx7NgxtmzZwt69e/nDH/4wTsD+U52P\n53bpzQLhhlwLZrNZSItMhNHRUVwu14RNGm63m4GBAdRqNcGnT6NbtUr87U8PP8yPPviAHTt2kJ+f\nz6lTp/jKV77C2bNnxz0kd999N8PDw2zatInGxkbRbZOfn09wcDC7d+9m9erV7N+/n4GBAQoLC7l4\n8SIrVqwQjRCHDh1i0aJFvPfeeyxZsoSjR4+yePFiPzfWZrOxdetW1qxZI1xXkNwxi8VCS0sLd955\nJ06nk8OHD7NgwQL6+/vp7u7m5MmTwkWtq6sjPT0dg8FAZGQkdXV1KBQKMbbk8OHDLFq0CJBeilVV\nVbz00kv86Ec/Ij4+ntLSUu68804qKiowGAxUVVWRnp7GwEATTqcZp9NGe7s0a1eOY2X09PTQ19eH\nVqsjKEjvt8L39vYSGhrKhQvVxMbG43RCf7+HF198hbi4OL9tXS6XeOEGBgZ+pt1JJpOJTZs2cejQ\noc9df+rz78n6jCGoaMPDBPjUzWzLl/Pgb3+L6q23uOeee9i+fTsFBQW4XC7Onz/PjBn+c3S/853v\nsGXLFkJCQjAajTQ1NVFcXMyJEyeEEJycWFm/fj2HDh0CYO/evaxevdpPv1iOnzIzMzl9+jTz588X\nxzl69Chf+MIXOHDgACtWrBCfJyUlUeolM/hOxVMoFERGRhIbG8vQ0JAwRJ1OJ4gBTqeTnp4ehoYk\nMkB9fb0g17vdbmw2Gy+//DJf+tKXRJyWkpJCeXk5KpWKadOmUVNTw5Qpubhc2TidTvr7+1EqL6FW\nq4V43NDQEB999BHz5i2jqqqKgYEBNm68nJGXr0+aHJ9FYWEJb731Fvv37/fqKfuzs+TPnE4nIyMj\nqNXq626y+bT43e9+xxNPPPG5GyzcZkY7WZfn02aP5f7iwMBAAp59lp6GBsqAFSEhqJ57DpVSyQMP\nPIBKpWLt2rX87W9/4/7772fbtm3jjPbOO+8kIyODv/zlL3zrW9/CZDJx4MAB1q5dy759+0QWUiaj\nL1y4EJPJxP79+/mv//ovNm/eLEKByMhIOjo6SEhIEEX8/Px8+vslkXB5DGZ5ebmfQaekpIiXAUiT\nEXp7e1Gr1Vy4cIG2tjZxT33lU7u6upg/fz6VlZWAVEv1XWV/+9vfkpmZKT4DiexfVlbGl7/8Zb/7\noFKpsFqtVFZWUlxczMmTJ3G73Rw+fBibzcbatWtxOBzs2rWLgoKCcb/xJ598gtFoJC0tjfPnz5Oc\nnCwMc6KVVM6ky8k4i8WCVqu9pQydgYEB9u3bx7e+9S1aW1tvinTNRNBoNOh0OkHuuBJuK6O9lfDt\nL9YcPkzgn/5EJ/Aq8JjdzqLvfId169axZs0a1q9fj0qlYt26dfziF7/gxz/+Mc8+++y4h+K5555j\nyZIlDA8PU1JSwnPPPUdzczNz5szh9ddfF2MnAwICcDgchIaGsmnTJg4ePMjPf/5zMexKFi9PTEwk\nLy+PU6dO0dDQQFNTk4inIyIiaG5uprW1Vax+aWlp7Nq1S5xPYGAg+/btY+bMmSxevJijR48yZ84c\nEUbIFL7S0lIaGhqora1l9uzZwjhcLhcHDx6ks7OTX/ziF37XWlpaypIlS6iuriYnJ0e8NK1WK8eO\nHWP58uWAVJvcsWMHRUVFQga1tLSUrKyscb9JaWkpVquVuXMlmuebb77JiRMnsNls1+w/VygU6HQ6\nkXCTX8Y3y2W22+00NjZSX/8Jr7/+PNOn69i69YfodFwXCWaykNokwWr1MDLiwWCIJzNzLpmZeaKB\nQ8Z/S6OdaCWWJUYC7Ha03/wmAGnAtpISTH/6Ex98+CHbt2/n6aefZs6cOdx33308++yzPP300wQG\nBnLy5EkKC/3b55KTk8nMzOSPf/wjTz31FDNmzKC2tpacnBzuuOMOtm3bRmZmpjBcmUO7aNEiQkJC\n+OCDDxgZGWHhwoVCuxgkUn1ZWZlIvMiYNWsWH330ETExMeJHjIiIEGoTERERpKenC69Alp6RWS0y\nNBoNCxcuxGKxsGvXLqZNmwZIce/bb7/Nj370I7+4+ujRo8yaNYvIyEjKysqE0VqtVsrKyli+fDm1\ntbVcunQJkDLsTqdT/P2OO+7g4MGDfr9JWVkZZrOZ/Px8Ojo6aG9vZ+nSpWKVnawberNdZo/Hw9mz\nZygre52oKAspKU4WLKjnqae+Oim66M2ApCdtoa5uB0eObGf7diPLlz/MjBkzJRWOz+QsbjKu1z2W\nHzC9Xo/6mWdQejO97tBQhn75S9TeuPP111+ntraWr3zlKxw8eJDvfe97REVF0d7ezjPP/IS1a59l\n1aqfsXbts+zefRiA7du3U1dXx7lz51CpVCxbtoyamhphML7axyqVSlDhbDYbmzdvRqPRcOTIEaqr\nq/3qnIGBgaLM4Ivi4mLKysrEv41GozCq/Px8jEaj33fkY4KU1HK5XOzYsYOenh4UCgUpKSkEBQVR\nWlrK7373O1auXCnEx0FquIiNjRUJIbVa7Y1fpc6suLg49u7dy+joKHfddRfx8fHC4EpLSykqKqK5\nudmvPrl//37RjL9gwQKRwX7++eex2WzXTbuTXebg4GCUSiUWi+VTjQpxOBy88cYfqax8gS99ScMj\njyQRENDJ0qWFn5nBgnQ9cXHBLFqUxKOPJvOFLyg4ceL/snXrf0pdcZ/ZmXyOkMnZAYcOofnDH8Tn\n5p/+FH1GBjqdjpGREeE+33ffffz5z3+mrq6OH//4x0yZMpUTJyr56KN/59Ch/8NHH/073/teKbt3\nH0av15Obm8uePXuIi4vj3LlzrFy5kp6eHiwWC0FBQX5T8uQHzOl0EhkZSWFhIUqlkszMTC5cuMDO\nnTs5f/48VquVFStWcOHCBT+iu8ScyeH06dPIM2bvuusuMQh72rRpgmxvNBrFd2Vdp6amJrq6uggJ\nCZFmEmVnk56ezrFjxzAYDKxfv14cq6amBqVS6UfInzFjBh988AGnT5/G6XSi1+tZs2aNWK1BatIo\nKytjxYoVGAwG6uvrCQ0NJTAwkN27dxMdLU2LT0xM5Pz589TX1/PAAw8I4v6nTfbILrOsu2WxWCYd\nf7pcLrZtexmD4QSPPppCbKwBu93BpUvVognk80JCQgiPPZYKHGTbtlf+exqt70osE5v1Tifqxx8X\n24yuXo3ii1/0e0srFApRa5QbHO6++25CQlbhcPivePX1/8aLL5YC8PLLL9PT08PBgwexWCRN6MWL\nF6PRaIRsS3l5ud/3VSoVarWaoKAgFi9eTHV1NdOnT+euu+5Cp9Nx7tw5du/eTWpqKpWVlX6rZ2Ji\nIiqVir/97W+kp6cTHx+P2WwWEwXleCslJYXGxkbxPaVSyfnz5wU5fnh4mOjoaPbs2UNvby9r164V\nxt/c3Mzg4KAwRo/Hw4kTJ9i1axenTp3i4YcfZs2aNeP6qoeHh0UG3Xf8ZmNjI5988gnZ2dl0d3eL\n+Prjjz9Gq9Xy05/+1FvjvfHZr7LL7Psyvlb9/+OPj6NUnmDduhRB0D9z5jQzZ868LTLGKpWSjRtT\nGR4u/fs02utxj2VKmuaZZ1B6W8rc4eHCLfbdZ2BgIEFBQfT329ixw8F3vqNmxgwdR49O/CDZbFJK\nIDQ0lJycHKxWq5ixA3D//ffj8Xg4evQoUVFRooMK/OfKBgUFkZWVxalTp6irqyM6OpoFCxawatUq\nb4/vMNv+H3vnHVdV+cfx972XPWQ4UEGWGLhAEVfu/cOdZq7MlZmZ6S9zZLaz0tR+OTKttCxXjtRS\nHCgKblHcoIiggCiCsi7jrvP7g86RPe9FND+vl6/Se+55nnvO+Z7n+Y7P57t1KwEBAZJvWqNGjXzS\nKK1bt5akWO3s7Lh3755EsBd/H+TmG0VurpWVFREREfz111+89NJLtGnTRiLR3717l0aNGnHkyBEO\nHDgg0QhdXV1p1KgRdevmz8VCbiQ4MTGRrl275gvUJCcnc/78efr06SPRCC9evMijR4/IyMhg+vTp\n5OTkVGqVLYjybJkzMjI4dWoLffs6SAarVmu4di2cli1bFjr+SUGhkNO/v0P1Mlp9R+RE3V/zkBCM\nfv5Z+ve0BQswc3aWxhMEuHFDxooVRgwZYkGTJnUYNcqW1atNuHlTDhS9xTI1ffzvv/32Gw8fPkSh\nULB161YgN0jk6OiIs7Mz586dw9bWVnr481K/RKGxLl26kJKSwt69e2nYsCEAvr6++Pv7M2XKFORy\nOb///jv79u1j79692NvbEx4ejlqtxtLSEmNjY1JTU2nSpIkUFBIhPqxJSUm4uLhw+/Zt7OzsWL16\nNX5+frRq1Yrw8HDu37/P77//TlpaGhcvXqRdu3b07t0be3t7bG1t80nl5MWJEyeQyWS4ubnlCwIF\nBweTmZlJo0aNCAsLo1evXpiamhIZGcn169epVasWI0aMkETu9I2itswFC3hu3LiBh0c2NWs+zgtf\nvHgBb2/vaiEvkxcODlbPbvRYp9PlktvVaozfekv6LGfAALQvv4wqS8HRowoOHpRz4ICC27eLf3+Z\nmPRCoZhHVtaX0r+5ub3Pm292k/5uZmaGt7c3VlZWHDlyRNKCEgsehg0bxtGjR5HJZBw5cgSNRiNp\nEUEuwT0zMxNfX1/u37/PiRMn6NixYz5Zld69e3Pt2jViYmLo06cPDRo04Pr166xYsYLGjRujUCj4\n7bff8PT0lLoCREdHk5WVRXR0NImJicTFxVGjRg0pIi5KkwYHB2NhYYGDgwM1atSgV69eyGQycnJy\nCAwMpFmzZvlWV3GXkJqayunTp/Hz88Pe3l4SVlcqlRw+fBi1Wk3Hjh0JDQ1l5D9Ux/j4eBISEkhL\nS+P333+Xor6GLJJQKBQSHzorK0tKEcnlcqKiLtC8+eMXhkaj4fLlK4Vy0tUFT6XRllW5QqFQYD53\nLvK4OATgsk0HdrywmqPDbDlxQoFKVfzK7uWlo3dvLT17amjTpgUHDjzil1/molYbY2qq5c03u+Hv\n3zHfd1asWEGHDh3o3LkzJ0+exMTEBCcnJ6kRV5cuXUhISODYsWOo1WpCQkLw9/cHclk1ERERtGnT\nBhsbG9q0aUNwcDB2dnZSKwzxuKioKGJjY3F3d8fd3Z22bdty7tw5unXrhpubG1qtlhdeeCHXl7ew\noGXLlpiamkpRa1H8TqfTMXnyZNzd3bl58ybHjh3j6tWrODk54eTkhJWVFTExMXTt2jXfimNmZsbD\nhw+Jj4+XAmbirkUmkxEaGkpycjL+/v5s2bKF2NhYqRVKamoqO3bsQKPRMHLkSDw8PFAqlRL5XNR1\nNhQKFmYoFAru3LnIoEGPm2ZfunSZpk2bYmxcPc2jes6qkhAV6A98c5vDO9zJtPuCkOwBJKQ3gSVF\n/2QrK4Fu3bT06qWjVy8tzs55XwrGDBnSi759O6FWq6WkflH44IMPWLt2LY6Ojpw9exZfX18pkmxl\nZUXdunUZOHAgJ06ckKLK7dq1w8HBQWptKbJLunXrRkxMjEQYENMu9vb2tGjRggMHDqBUKrGxsaFZ\ns2aEhITQqVMngoKCaNmyJTt37pQCXqJKB+SuJAEBATRp0gRnZ2c2b97MiRMnqF+/PhMmTKBhw4Zs\n2rQJX1/fQv4p5LodISEhtG/fXip/hFzq2YULF6R2nidOnECn02FqakqTJk2k1dfU1JTs7Gw+/fRT\niV0kqmCIK6ChObPiPYyJicHCQomZWe611Wq1XLx4gXHjxhls/Mqi2hmtPgjuOTk5bPxJxntLWsPg\n76HFr8D8fz60hmxbWH6DZl4m9OqlpXdvLe3a6TAxgdVhqzmWbo3tTVtszGywNbXF1syW+lb1JZJC\nrhCZWtpe5UXfvn356aefgNwKpJMnT5KdnU1YWBidOnVCo8ltd9KtWzd0Op0UZGrSpEmRhGk3Nzep\n7vfy5cu0atXqn87rlvTu3ZvVq1dz8eJFfHx8JNKAq6sru3btolGjRtSqVUtSHxQ5vn/99Rft2rVD\nqVQyY8YMatasydSpU/H09OT69eucOHECFxcXvLy88ik1Zmdnc/r0aVJTU+ndu7dksI8ePeLUqVPS\ny8Ta2prAwECcnZ0xNjYmJyeH1NRUgoODMTc35/79+2zatEkiiIgdEqysrFCpVCiVSkxMTPIpIRoC\n4ovBxsYIjUbN+fOXABmNGzcukxj6k0K1M9qyoCTDFsW5Lm+OAuqC2aP8B5imY2Saw7VrOhwds/N9\npNaqeTfw3cLjISPtvTRkyKRWHjk5OaSlp/F20NvYW9hjY2qDnZkdNqY2jFowikXjFlGjRg369+/P\n2rVrOXv2LO3atcvXg8bU1JQePXrw6NEj9u/fz5UrV/IxeUTI5XLat29PdnY2u3fvxsLC4h9hNRNc\nXFywtbXl4MGDtGvXDldXVw4dOiSpRiYnJ5OZmYlGo+Hhw4colUpsbW05c+YMRkZGvPrqq7Rr1477\n9+8TFBSE6z9tLo8fPy6R61NTUwkLC8PMzIymTXOFyi0sLCRjtbS0pE+fPgiCwObNm1EoFPTs2ZPA\nwEBat27N6dOnOXXqFC1atODPP/+kT58+eHt7S+QN8cUniqmJpYnp6elSaaKhjDcrKwtLS5nEJT59\n+sw/3Rm0VVpQUR48lUZbHARBQKlUYmpqykdbG7C9RTYZmbXhkSuYpYBZKsgErI1tKUpAICWn6GbZ\nNqY2yPOIp4vbqyxdFn9G/lnoeHMjc/Yu38ubb75JkyZNmDp1Kl9//TUbtmzguO9xapjUwFJhSbZl\nNhfiLmBtZM3YEWP5448/uHHjBpGRuUTxLl278Ej7CEu5JWZyM8zNzXF2dsbLy4sTJ05IHFYXFxep\nw0FMTAzdunUjKiqKmIQYIh5EoEKFTC0jIzKDTGUmDg4OuLi4ULt2bdzc3Dhy5Ag1a9akW7du+X5H\ndHQ0sbGx+VqHhIaGotFo8hmrXC7n1q1bnDp1irZt20qRb51Ox/4JqVcRAAAgAElEQVT9+7GxscHb\n25uAgACMjIxYunRpvlW2IORyuVSamJWVJUnxGmLLnKvoIUgCd76+vty7l8CmTZsYM+ZVvY+nDzxT\nRitqCRsbG2NZ05SbsRpuBs5kysJVXL5sDDIdmKbxyCSd2XeN+fBDNXkVVxQyBW+2fJOUnBRSsv/5\nk5OClUnRwtgZmqKba9ua5aZGXn75ZdatW8cHH3xA27ZtuXDzAilCyuOXgwlEp0ZjrbBmbN2xODg4\n0KxZM1q2bEloaCjfrf6OM93OACBHjqXCEnkNOY5pjnzQ+QPUajW//vorQUFBmJqa0rxlcy4Llzka\nfxRlmpLzD8+T2S9TmpfRGiN8GvvQ5cUuWFhY8Oeff+Ll5SX1yYFcxk9UVBS3b9+mbt26dO7cGcjd\nAp89e5aIiAjs7e3p3bu3ZKyijIqzs7NksA8fPuT27duYmprSqlUrqdnX6dOngVzOc95u7kVB3NUY\nesssk+W+YM6fP8/o0a9ibm6GUplZ+hefEJ5Ko82rvC9CTPHk1T2SyTJ5oXctAnul8/PPVnz+uTFZ\nWbaQbcvKlbBrl4L//U+Fv3/uuezN7VnSc0mZ52FrZsvafmtJzUklJTuFpIwkUrJTqGGeq+07b948\nTp48ya+//srAgQOJSIoo8jyWilxGi6+vL2fPnqVjx44kJSXRs3VPzkTnGq0OHenadFCAPEcutblo\n2rQpzs7O2NjYcPrqaUIc/qHqXQb+k38czRsa7u++T05ODk5OTtja5gqDi2kayFVk7Nixo5Q7Pnjw\nIFptrqJ/9+7dpc5zJ0+eRKPR4OzsLDGRxH5JWVlZbNy4kYYNG2JpaUlGRgYnT57kww8/lJQ0NBpN\nIY2qopB3y5yVlSU1ItO30n94eARubu6STKylZcmdFr/4IpgFC0LIyXmcqzc1NeLgwTF07OiMQvGZ\n5MIZGcmJinqHBg1sijtduVCtlCvgMRunJBSlTCGWqolJdJlMJlG2RGHu27flvPOOCYcO5d9mDR2q\n4ZtvVOhBvifflk4MVLVt25ZOnTrxMOUhxvbG1HGuw/nw89RyqsWN2Bt4enjyitcrQK7AdZ8+fQgJ\nCcGltQtfxX1FpjaTHOFxy0izFDPanG8jFWbUqFGDWrVq8dDoIdsd/hGjOwJ0LTy/evvr8VLLl4Dc\nwv0JEyZQp04dtFotV65cIemftp6RkZF07NiRpk2bIpfLSU5OJiIigsuXL2Ntbc2gQYMk5pJCoZB4\npiqViujoaLRaLcnJyXTt2pX9+/dja2vLjh07pHslbnnLC7VaTXZ2dr7rWxnkyvb8QEpKEKNGjSxX\nW1SANm1+JDT0LnK5jJiYGTg55b6wdToBZ+dvmTmzPf/9b/tKzbEgnsqVtiDE+mIbG5t8K7BGo5G6\nxGVkZODkZM6uXQJbtiiYM8eEpKTcbdb27UYcOqRgwQIVY8dqqczuK2+gSiRoBwQE0KlTJ3r06MHd\nW3fp5tuN1n1as3//fnx0PpjdMePIvSMoFIp8vY8amDbg+4a5PYXUOjWZukyUOiVnQ88yaMogybcM\nCwvD2toatVqNfYI9RtZGJOUkoaNwvW3GwwyuXLmCTqfj0aNH7Ny5U9JXdnJykq6hKLh+8uRJZDIZ\nVlZWtG3bltu3b9OuXTvp4RapfxEREWg0Gho0aICxsTE3b95k2LBhnDx5kkePHhEYGCjdq7KuskXB\nEAT42Ng7NG3qXG6DBRgzxpvQ0LvodAK//XaR99/vBMCJE7E8eJDJuHEtSjlD+fFUrrRiZzOx8VVG\nRobUm0VMqahUKlQqlbQai29oUR3g4UMZ779vwoYN+d9bnTppWbZMxQsvVP6yaLValMrcNo6xsbG8\n+uqrWFlZ0apVq3yk8S1btjB48GAcHR1Zu3YtjRs35uHDh5ibm9O5c+dCKgZ59Zx0Oh27du3CwcEB\ntVpNTEwMDRs2JP5BPIF3Asn4z2O/23KvJT4WPjTxaEJKSgpyuZx+/fohCIKkqi9KhoaFheVTyYBc\nP/XPP/8sVCl05MgRSf8qOjqahIQEGjRoQEZGBufOnSM0NFT6DUqlUlI41Mf1raxm1Pnz5/n116F8\n++1rWFmVTLwvCg8eKHF0XIpGo8PLqxbXruVytSdP/psHD5Ts2DG83OcsDdVKjRHEdoalaxaLqRO1\nWi214xDV4AGpP4+oxSRS08SOaFZWcgYPhvbttZw6JSclJfd7d+7I+eWX3Jvfpo2OygYsc3JyMDU1\nlQorzp49S3R0NE5OTtjb21OjRg3s7e2lqHHDhg2xsrKiW7duXL9+HaVSSUxMDHFxcdy5c4fY2Fji\n4+O5f/8+CQkJxMXFERsbS8+ePWnYsCH169fn+PHjtGnVBlWiCs1lDVbRVphdMqOdUzvatmjLw4cP\nSUxMRKVSkZaWho2NDVZWVhgbG6NQKAgNDcXHx6eQ33j27Fmsra0loe5z584RFhZGfHw8jRo1klbr\n69evo9FouHr1Kn/99Re1a9eW7ptYpaUX0e5/2nbK5fJ/2pNoy63UuH37dhSKSPz9K7YiWlqacPp0\nPJGRD0lKyqRfvxeoWdOcCRN28eGHnWncuHaFzlsSnlqj1Wq1Uod0S0tLKXcrFgHkJX+LyKvUL95k\nDw8548dr0WrhzBk5giBDq5Vx9KiCv/5S4OOjw8mpYquuyOMVizIaNmxISkoKN2/e5MyZMzRv3hxL\nS0upmdd//vMf7ty5w/Hjx6lZs6Yk09moUSMaNGiAs7OzlPIRu8w7OzuTlJSEm5sbx48fJyUlBS8v\nL06dOkXPbj1xr+2Om50bnvU9sbO2IzU1VVKyqFOnDp06dSIiIkKSt0lMTCQ1NRVPT89Cv+fgwYN0\n796d4OBgDhw4gCAImJmZUaNGDXr06IGDgwPbt28nMzOTlJQUvv76a1q0aCH5nWL1kz6L8MUXstg6\npTwyqzqdjpkzZ/LSS01p3rxWiceWBIVCxvbtuc23zMyMycnR8NdfN/jxxwH5tJ9FhITcxt9/A1On\nFk2+KHW8p9Foxb42ov9qZmYmrbK5jamzS3ybizdZ3F6ZmMjo2RMGDNASFiYnISH3Qj94IGP9egUP\nHsh48UUd5dnRiauK+EIRXxht2rThzp07PHz4kEOHDqFSqahfP7faKjY2Fj8/Px4+fIiZmRnx8fGc\nOnUKHx+ffAEXuVwuUe/UajWHDh1Co9HQunVrSSDN09OTY8eOSS8NsRmYjY0NgiBQv35uu0iR4+rl\n5YWLiwu3bt1CoVBIFL3Y2Fji4uIIDw/n7NmzxMbG0qBBA/r370/Tpk25ffs2PXr0QCaTERwczJkz\nZ6hfvz6zZs2ie/fukpg6IO2IDFEoIZZ+iv6uSqUqtQvjoUOHiI+Pp1UrSzw9Kx7Z9fCwZ9myM6hU\nWqKjU0hMVNK+fQMGDfLKd9zGjZf59ttThITcISTkNh9/3LVC41U7nzYvba04qFQqKYIstk4UjVZk\njJTVZ9JqtZIAW67fpWDVKiM++8wYpfLxw1W/vo6lS9UMGKAt/mR5UJLvJggCkyZNIikpSfoN9evX\nJyYmhldeeUUyVFtbW06cOEFMTAy2trbY29vj5+dHRkZuMOnGjRs0b96cpKQkevfuDUBQUJDUbjM2\nNpbk5GTs7Oy4c+cObdq0ISEhAScnJ3bt2sX48eORy+WEhYWRlpaGq6srd+/elQjqqampUjFFbGws\ntWvXZsCAAdLvuH79OsbGxri4uLBr1y5Onz5N586dGTx4MC+99JJ0X7Kzs6X2JWLjbkNC7CUrdkQs\nSjNKp9MxYMAAZs2ahUaznYEDGxRztrJhwoRd/PLLBenvISHj6dDBuchjf/nlAhMm7EKn+7hCY1Ur\nPm15oNVqpabAYlsMjUaTr0ywLFAoFJI/p1Qq0WhymDpVTWhoNn36PDbQu3fljBhhyqhRJiQklPzQ\niS+e4uYhk8n46aefpEJ5Ozs7KT2yYcMGZDIZmzdv5tixY5IOsbW1NcnJyaxevZqtW7eSlpbGCy+8\nIJEAtFotBw8exMfHh9q1a3Pp0iWJD+rr64uDgwP169eX+vXUqFGD0NBQZDIZrVq1omPHjhw+fJjr\n16+zdu1a9u7dy4ULF+jQoQPe3t4S80hEZmYm9+/fJyoqipUrVxIZGYmfnx9Dhw6VDBYeazKLc8zM\nzMwnMmcIiEJ6edVIChLgQ0JC8PDwKJLMXxGMGeMt/b+bm12xBqsPPJUpH61WK/lT4qosCALZ2dmY\nmZmV+01eMIGfu2U1Z/t2ge3bFcyaZUJiYu45d+0yIihIweefq5kwQUPB3Vd55vHHH38wfPhwoqKi\n6Nu3L1euXMHOzg4LCwsaNGggRYh9fHw4d+4cffv2zff9W7ducfLkSa5du0ZERAQeHh6cO3eO7Oxs\nTE1NSUxMBJB8WNHHDg4OJiUl5R/e6GUcHR25fv06zZo1w8/PD4VCIaWFzpw5Q1RUFDk5OURGRhIV\nFYVOpyMiIoKcnByaNGmCp6cnFy9eZOrUqfmqq/JeD9Gvr0pCgLh7MjExkUgeYjnk0qVLWb16NSkp\nRZeulhddu7ri5FSDuLg0Ro9uXvoXKoGnbqUVOaFiVFhcZcV/q0yljFjzampqSmZmJtnZWQwdquHc\nuSzGjn1c+ZKWJmP6dBN69zYlPLwwbU30r8qCLVu24OzszIYNG2jZsiXt27fn/PnzREVFSXpN1tbW\nODs7S9Q9Ee7u7nh7e1OzZk08PT3p2bOn1OZD9E+vX79OcHAw4eHhnDx5Uir0b9CgAaNGjaJZs2bc\nu3ePyZMn06NHD2xtbbG2tqZ9+/a0b9+erKwsRo8ejaurK506daJFixZcunSJ+vXrM3nyZIyNjTl2\n7BhbtmwpZLDw+AUr8mTFSLqYOy9LG5jKQiTAm5iY8PXXXzNp0iTq1KmTT7CuspDJZLz5ph+WliaM\nHWtYIbhq59OKLJ3ikJ2dLW11xGJzMVdraWmpt6Jy0RfTaDTSKhEcLGfaNFGCJhfGxgKzZml47z01\nJiYC6enpFZrHypUr+e6775gwYQKNGjUiMDCQc+fO0b59ezp16oSJiQnh4eHk5OTg4+PD3bt3iYiI\noGHDhqSmpkqBq/v379O1a1dsbGxQKpXcvn2bli1bcubMGby9vTE1NeXatWuEhYVRr1497OzsqFu3\nLhcuXODFF1/MF4nPbenRlsTERO7evUtGRgZxcXH06tULFxcXtm/fzqVLlyQGUEGIBA6x32tBiCoS\nVdneIykpiWHDhhEdHc3ixYtp2rQp8fHfV9qnLQ8q69M+VUYr0sQsLCykCLFcLq9UWVxpKPhgqVRy\nFi40ZulSIzSax6usp6eOJUsyaNtWVaHKGsjtfdOtWzdsbW0ZOnQo+/fvx83NTfp9jo6OREVFoVQq\n8fHxkdQgsrOzOXnyJE2aNJG6+QmCQFxcHG3btsXBwUESaxOrh4KDg5k9e7b0chGVNGrVqoW7uzsh\nISG0adOG8PBwwsLC8PX1RaPR4OLigoODA9999x1mZmYcPXq0WGMTg0FWVlbFboPFnZNYbmrI9h4A\nZ86cYc2aNcyYMYO5c+fy/vvvk5W1+aky2qcq5ZOZmSkpMYgNfvWdsC+IgukhY2MZ3bvDwIFaLl6U\nEx+f+8AmJ8vYuNGUpCRjXnxRR0XeH6amprzxxhvExcXx22+/0ahRI86ePYu5uTl16tSR+vHIZDJu\n3bqFl5eXVNYXERHBvXv36N69O/Xq1cPd3Z2UlBRsbGy4d++eVLbYo0cPXFxcuHv3LjKZTJJTVSgU\nuLm5ER4ezrZt21Cr1aSmptK0aVNJIM/Ly4tLly6xbt06xo8fz08//VSiMYpKmCXtOiqSqikvdDod\nUVFRBAUFMXPmTARBYNOmTQQFBZGZmUla2lk8PW1ITU1j8+bNHD9+gtDQs+h0ukKNomNiYli16geu\nXr1KaOg5MjMz8zXPLgsuXLjHrl3XK5zyeWoCUWIxulgba2RkJGkMV2VAIzMzE7VajZeXGYGBAj/9\nZMTHHxuTnp47/rp1xgQEKFiyRM2gQRWrY543bx5Dhw5lypQpWFtbY2JiglKppH///tJKdOfOHdau\nXYu5uTlOTk4cP36cYcOG5SOWKxQKiSoHuSu5eJ3s7OykdpmiZrKobPHf//6X9PR0wsPD2bx5M1ZW\nVlhaWvLzzz9Ts2ZNbty4UarPLoqEl9W3zyu8lpmZKZWblve+Zmdnc+3aNS5dusTFixe5dOmSJC7g\n4uKCmZkZM2fOpFWrVoX6BSkUcv7znz7UrVsXlUrF6tVrcHdvSO3a+QsvXF1dJJG6J4GnwmjzNs8S\nt37iFjknJ0dqKWlon0hMD4kR0NyVUeA//8nhv/81Zv/+3OX13j05o0eb0q+fhm+/VePoWH4PxNPT\nk8DAQL799ls2bNiAo6Mj27dvx9fXlxdeeAFnZ2fefvtt4uPjJdV+IyMjjhw5InXqE1UrxAf/5s2b\nZGVlIQgCEREReHt7Ex0dTd26dTE3N2fixIlSXtnExASVSkVGRgb169cnOzubhQsX0qdPn1LnXtFI\nvpiqyatcIdLwijpPcnIyly5dyvcnOjoaDw8PvL298fHxYciQITRv3hwbGxteffVVli1bVqgDoggr\nKyspTmJiYkLt2rVIT08vZLSVdSh1OuGf8wgVWmyeCqMVRbnFbapouGKFjRiJrAqfSIyAGhkZSdQ/\ne3vYtMmUgAAZ775rwv37uePv2WNEcLCCTz5RM2mSptx1zHK5nJkzZzJ8+HAmTpxISkoK2dnZHDhw\ngP79+6PVarl9+zajR4/mwIEDxMbG5na3NzYmPT2dMWPG5FvpzM3Nad++PVeuXJG22vXq1UOr1eZr\naxkUFMTVq1dJS0ujWbNm+Pr6MnnyZKmBWGmKiWq1ulwR9IIQdzZiCi4nJ4f79+9z9epVyTgvXrxI\neno63t7eeHt707VrV6ZPn46np2eRBS1XrlxBJpPh7e1dxIiFkZKSQkLCPZycCkqc5BatrFr1AzVq\nWNO7d2+ptro07N0bydq1YYSE3PknP76GJk1q8/33/ahRo+zldtU+ECUIAqmpqVhaWuYrpBBXDDHo\nI+YhAYOr+eWdm2i4JiYmmJmZkZoq46OPjPn55/yppzZttCxfrqJZs4pf7p07d7J8+XLkcjnp6ekI\ngoCrqyseHh40bNiQc+fO0aNHDzQaDTt27CjSH3N2diY1NRU/Pz/pYbt165ZUS6zT6bCxseHu3bv0\n6dOHDz74QArwlUX+RYzkV5R1o1KpCA8PL7SCWltb07x5c1q0aCEZqqura5le0IIgMG7cOObMmYOf\nn1++z86fP09c3Mp8gSiVSsUvv/xC586d8fLKX4qYk6NCLs8tSY2MvMm+fQFMmzat3L+zMqh2K23B\nmyCWohkZGUnkdq1WW0hfSPSJqjJ5D0gpIY1G80+6x5xly2D4cC3Tpplw/Xrulv3MGQUdOpjx7rsa\n5sxRVyhQNXjwYAYPHszDhw9Zs2YNycnJEtPn9OnTpKSkoNVqefTokVQ8n3cLZmVlRVRUlERl1Gg0\nxMXFoVAocHJy4t69e2i1WhwcHNixY0chd6Ms8i/iKluWl2ZKSgqXL1+WfM9Lly5x8+ZN3Nzc8PHx\noXnz5lJzL3t7+0IpuLLi+vXr5OTk0KpVq1KP1Wp1bNnyB97e3oUMFsDU9HHqqlEjD/bsyb3OJTWB\n1jeq3UorkqTF/09LS8tXXyyXy0vlZIoPbGV4lmWB6E/n5ezmTQ+p1XIWLzbmm2+MUKsfP9geHjqW\nL1fRuXPJNdZlwZ07d/j999+lOuGkpCRJylShUEg12aLx3rp1i0ePHmFnZ4dSqeSFF17A3t4eV1dX\nRo0aVea0WVHXWBBy89QWFhb5rrmYfsq7tb106RLJyck0a9YMHx8fafVs3LhxiQZQXuUKQRB4/fXX\nmT59eiF+MEBYWBi3b69g8OAGCALs3Pkn5uYW/Oc/RfvuGRnKf3LZuVzorVu3MmPGjDJdM32hWhtt\nenq6ZAAiub0suT/IXzRe0UhkSdDpdEUWdIhb5ryi5tevy3n7bRNOnsy/+owdq+GLL3J94spAqVQi\nl8ulVTYyMpILFy5IqRqxcszIyIjY2Fjs7e0ZMWIEjRs3rnTwLu+LSqRFigaadxU1NTWVDFM0Und3\n9wqNX57cbmRkJO+//z579uwp8pjw8HAuXlzMiBENuHPnDuvWrcPBwQHIPbZHjx6kpqYC4OfXijNn\nzhIaelaqvuvTp08hN8TQqLZGq1arUSqV1KhRQ/K1xOLv8gh7iZVNWq1Wr6tuXv+5KBTUigI569YZ\nMX++MWlpjx+eOnUEvvlGxdChFUsPiR3QRfkW8UWVmpqKk5OTQd2DtLQ0rly5IlVFidvbBg0a0Lx5\nc8k4mzdv/o8h6BdlUa548803mTRpEp06dSryHNHR0Rw58gXjx1ddcUVlUe18Wnic4hELJrRabYXr\ni8V6YjH/J/JLK/MwF+VTF0Re/0+MbE+YINC3r5aZM43ZtSv30icmyhg71pRNm7R8+62qQDuSklFU\nakWr1fL+++9z7do1du3aVW7/r7hxEhISCgWH7t27R5MmTfD29qZly5aMGjUKLy8vLC0tqyQYKPah\nzXtv85ZDitI3eSPjBWFra0tysq7C6ZcngWq50oqNna2srPKxeCpbX5x361qZh1mpVKJQKMrs/4mR\nbTHarVDkqmK8+64xd+8+3h5aWgp89JGaKVPKlh4q6CpERUXx6quv8sILL7BixQrMzc3JysqS5lqW\nrahWqyUyMjJfcOjy5csIgpBva+vt7Y2Hh0c+X1aM8KtUKqlirSqCgZD/3oqMrenTpzNq1CiJRFEc\nli17n1deUVO3bvEv4eqEame0arWa5ORkiQspBp/yE9Urh6JkTsvzXXE7Wp6HsSgfOz1dxiefGLNm\njRGC8Phcvr5avv9eRfPmxd8a8SUmugo7d+5kxowZzJs3j0mTJuXpvVu8/6dUKrl69Wo+A7127Rr1\n6tUr5H/WrVu32N+bk5ODVqvNV3Od1y0xhE5xcdBqtWzdupUffvgBS0tLDh8+XOp92rv3T2xs9tCh\nQ9X6phVFtTPatLQ0NBqN1BZCJLdXxFBKQt6HuaSqm4LfKYm1UhYUxR46dSqXPXTt2uOXh0IhMH26\nBj+/IH7+OQiVyhgTEzVTpuS22BTVJo2Njfnwww/5+++/+f333/H19S1y3ISEBEJDQ7ly5Qrh4eFc\nvnyZ2NhYvLy8JAMV/c/yyJvmXWWL2gE9CSaPRqNh0qRJ7Nu3j8mTJ/Pxxx8XKlnMixs3bhAc/BUT\nJzpX+y2yIAjVz6cV60/1QW4vCXnbHZa1xaLI/dQHZ1d8mNVqNW3amHH8uI5vvzXi66+NUalyxeWW\nLj2JkdFRNJqvpO9HR88DBDp08CEpKYnx48fj4ODA8ePHsbOzk4rjC6ZXVCoV3t7eNG3alK5duzJj\nxgyaNWtW6e5wOTk5GBkZFXvdDKFTXBoePHjAvXv3iIiIYPbs2Vy9erXYDvYAHh4eHD7ciKtX42jW\nrI7B5qUPhIXdr34rrdhcuCj9YkPdaLEkUpQ7LeqhKi4HWdlxC6aHIiNzuyCEhCjIbc/5RaHvde8+\nl4kTvZkxYwbDhg2jcePGXL58OV9xfEH/M28kWV8R9dJW2YKoqqq1OXPm0KtXLwYOHFjos9jYWF57\n7TUSExORyWS88cYbvPPOO9y5c4etWz9l3Lia1KxpQUBAAJGRNzE2Nmbw4MHUq6cfWZrKIDFRya+/\nPqp+RiuG8UXo21BKG7u4h6qoViT6QlHpofXrFUyf/hUazSeFjq9btzX37oWiUCjw8vKSSvvEKiJb\nW9tC3ykKld26iumW8vCHDZ0/T0xMZMyYMcXyfO/du8e9e/do0aIFGRkZtGrVip07d9K4cWPOnw/l\nyJHltGuXTnT0ZUaPHk1cXDz79gXw+uuv622OFUF8fBqbNj2iT5//Vj+5mZs3b5KTk4NMJpMqn6rC\nYCG/LIlSqSQ7O1vKEYu+ryEgpodEuqFancPYsRrat88p8nhHxya88cYb+Pn5cefOHZKSkjAyMsLR\n0bHMBgu5W9e84mdl6e4goqLXRGTyiN0h0tPT9So5s3z5cqZPn17sC6hu3bq0aJErTG5lZUXjxo25\ne/cuAL6+fvTs+V8+//wGqamOpKRk4+TkSHZ2NhkZSr3NsTx49CiLPXtus3Gjln79ZtG8uXf1W2l/\n+eUX1qxZw7vvvsv8+fM5derUE+nKnbdMT+wUVxX1pXnTQ8HBYcydG8ytW19Knzs7z2bJkh707Ztb\nLPDo0SMOHz7MgQMHOHjwINbWucyT3r1707FjxzLPubxb19KKS8qKykTyCyIpKYkRI0YQEhJSpq13\nTEwMXbp04erVq/ly7v7+/vTs2RGdLhFz83Ru3tzH4MEdcXOrj5mZESYmhtnWq1RasrI0KJUqbt/O\n4uZNUKlsadq0C1279pGudbUzWoCoqCh69uxJ69atWbVqVZUWYxdETk6OtJWrCs1eyL+FDAoKZe3a\nE2RmGqHRqJgxoyODBnUv8ns6nY7Lly9z4MABDhw4wOXLl3nvvfd47733yjxuWXKsYgmnlZWVXqLB\n+pKc+eyzz/Dx8SkTQT0jI4OuXbsyf/58Bg8enO+zAQMGMHfuXF588UUSEhIYOHAAw4b1pnZtW7Ky\n0lGrVYC+zUaGiYkpZmbWWFjY4OTUGA+PF3BwcCh0Laql0R44cIC33nqL//73v/z2228sWLCAdu3a\nPZFwvFhIodPpKsQwqQzyBoxMTEwk/eOyXgeRf1tebd/SCBf6WmULIu8uo7wBspSUFIYMGcLx48dL\nXWXVajX9+/fH39+/yGL/N998k65duzJixAgAvLy8OHr0qEFKMSuCaufTAvz4448sXbqUqVOnsm3b\nNpYtW8bs2bMleZmqgih+bmpqioWFhaSWIfbCNTTE9JCZmRnZ2dkSW6essLW1rZAYd95xMzMzyczM\nlMbV6XRS1ZG+IcYURAlb0YDLglWrVvHWW2+VarCCIDBx4gdcP/EAACAASURBVESaNGlSLDtn4MCB\nrF+/HoBTp05ha2tbbQwWqulKK9Ya501RbNy4kWXLlvHJJ5/QpUuXKmktURQ5oag0TVVwdsWijqoc\nFwr/XrVaXa4STn2NW9LvTUtLY9CgQRw/frzU1fnYsWN07twZb29v6Xxffvkld+7cAWDy5MkAvP32\n2+zbtw9LS0vWrVtXbNHKk0C1NNricP/+fd555x2srKz44osvsLGpeNOk0lBaflhscaGvjuTFoWAV\nlj4DN+WBOK5Op8PS0rLKIvpl+b2LFy+mfv36TzwtU1Woltvj4uDg4MDmzZvx9/dn4MCB7Nu3r1zb\nxbKiLFVYosibQqEosleMvqDRaCSFfnicHjL0uAUh8mUVCgWZmZlVOm7edJiYhhORkZHB33//zWuv\nvWbwuVQXPFUrbV4kJyfz7rvvolarWbhwITVr1tTbuctbNGCoSp/ituiGHrcoiF3tra2tEQShSpRB\nCqKoANl3332Hra0tU6ZMqZI5VAc8tUYLuQ91QEAAH3/8MdOnT+ell16qtJ9X0XRGWdMl5UFZSjgN\nXWEkomAXh6oatyAEQUCj0RAcHMymTZu4ffs2hw8fNkhgrLriqdoeF4RMJqNv374EBgZy7NgxxowZ\nw/379yt1ztwm0ybl9hWLai4lyuZUBGUlShSsMKrsuEVBVBPJaxiGrmwqDmJzbj8/P7Kzs7ly5Qqb\nN2+ukq16dcFTbbQibGxsWLVqFW+//TYjRoxg48aNFUrJFPVwlhcFO++VJ22RF2J7jLJuPYtK0+gr\nLSW2zizq5SGOK6bDlEpllaTDTE1NiY2NZe/evSxbtow///zT4GNWFzwTRgu5b+Du3btz+PBhrl69\nyvDhw4mLiyvz90U/TR/b2squQmKFUEXSKpWpJy4Kog51aaWkVR0g+/333xk+fDgdOnTgzJkzhaqa\nJkyYgIODA82bF90r9siRI9jY2NCyZUtatmzJF18UZlNVVzzVPm1xEASBkydPMnPmTEaPHs24ceNK\n3e6WVeWxIigvm6Yi7JmioI/0UGlytUXB0AEylUpFr169CAoKKlanKyQkBCsrK1577TUuX75c6PMj\nR46wdOlSdu/erde5VQWemZU2L2QyGS+++CJBQUEkJCQwZMgQoqKiij3eUER7EeVZ/fTJKKrs6lfW\nVbYgCrKlKuoiFIdNmzYxZMiQEoX1OnXqhJ2dXYnneVrXq2fSaEWYmZmxYMECvv76a6ZMmcKKFSuK\nDNKoVCrkcrlBUxeivpWFhQU5OTnF+pw5OTl6bSYmKnSIiiBKpbLEpt15UZkXmaECVWq1mrVr1zJ1\n6tRKnUcmk3HixAl8fHzo27cv165dq/TcqgrPtNGK8PX1JSgoCJVKxcCBA4mIiJA+y+s/VkXKoqTV\nT5RmNWRdb1lXv4JFHRWFGKgyNzfXS9321q1b6d+/v9R1oqLw9fUlNjaWixcvMm3atEI+cXXGM+nT\nloSrV68ydepUunXrxowZM/jrr79o06ZNlavEQ2HfT9R1NnRdb2lyM/oQsCsKFRHTywuNRkPv3r0J\nCAgodesLuXzZAQMGFOnTFoSbmxvnzp3DvrLtHqoA/4qVNi+aNm1KYGAgVlZWDB48mGnTpj0xBT5x\n9TM2Nv5HsUJdJYT/0tJD+lplCyLvVl1s4lXWrTrAjh076NmzZ5kMtjTcv39f2mmcOXMGQRCeCoOF\nf+FKmxf9+vXj9u3bDBgwgNmzZz/RqpqMjAzpIRIFzasCBdk0RkZGZGZmSoLfhhy3PBVkWq2W3r17\n8/fff5epZHXkyJEcPXqUpKQkHBwc+PTTTyWfevLkyaxcuZJVq1ZhZGSEhYUFS5cuLbJBV3XEv9Zo\nT548ybBhwwgPD+f3339n/fr1fPXVV7Ru3brKV14xNWNpaYlGo6ny0sC8c4Bcg9KnxnRJKGuHw507\nd3LhwgUWLVpk8DlVd1T59njfvn14eXnRqFEjFi5cWOQx77zzDo0aNcLHx4ewsDCDzEOhUPDDDz9g\nbW3NlClT2Lx5M4sXL2bevHlkZmYaZMyiIK50pqamyOVyg5ckFgcjIyMsLS0RBEFaBavifS6Xy7G0\ntCyxkkun07Fy5coyy+Y866hSo9VqtRK5+Nq1a2zatInw8PB8x+zdu5ebN28SGRnJmjVrDMbeaNOm\nDf3795f+7uLiwu7du2nZsiX9+vXj2LFjVfLQikaZdytaknKEoeciGlF500OVRUm57ICAANq0aUOd\nOtVbSLyqUKVGe+bMGTw8PHB1dcXY2JgRI0awa9eufMfs3r2bsWPHAtC2bVtSUlIqTQIoK+RyOePG\njWPnzp2sXr2ad999l7S0NIONV1pRR94H2dAF+WJk19TUVFp1C0rJGhpiLtvS0pKcnBxiYmK4fv06\ny5cvZ9asWQYf/2nxFKvUaOPj42nQ4HEfUCcnJ+Lj40s9pjw1xPpAvXr12LZtG927d2fgwIEEBgYa\n5IaWpagjb1GGIQvy1Wo1MplMmkve4giRrlhVW3VRYODatWv06NEDQRCoVauWwcet7n18RFSp0Zb1\nohQ0kCdxMWUyGcOHD2fv3r388ccfvPnmmzx8+FBv5y8vKaBgUYY+fc6SCkwMyR4qCTKZDH9/f3x8\nfDAxMcHX15erV6/qdQxx6x8ZGcm0adPYv3+/Xs9vKFSp0To6OhIbGyv9PTY2tlBRQ8Fj4uLicHR0\nrLI5FkStWrX47bffGDZsGC+99BK7d+/Wi7GU1riqKOTNc5ZUClleFFxli4K+2UNlQXBwMI0aNSIw\nMJBPPvmE2rVr5/u8NCYPlBzUFF9Qs2bN4vr165L7IRL8xdrr6oYqNVo/Pz8iIyOJiYlBpVKxZcuW\nQk2SqqN8pUwmY+DAgRw8eJDAwEDGjx9PYmJihc8nkgIqmhcWt4+iblJlaHB5/erSUNb6aX1AEASW\nLl3K3LlzkclkvPzyy4UCUePHj2ffvn3FnqOkoKao+BkaGsqBAweYN28e/v7+AGzbto3+/fvTu3dv\n9uzZY5DfVxlUqdEaGRmxYsUK+vTpQ5MmTRg+fDiNGzdm9erVrF69GoC+ffvi7u6Oh4cHkydP5vvv\nv6/KKZYIW1tbfvzxRyZNmsQrr7zCli1bKvTQiqSAyhRQiEoZlY30lpdsD1XDnT1x4gTOzs64u7sX\ne0xpTJ6SgpoiIWP58uX06tWLF198EYVCwe7du5k4caIUgBNz+dUJVd6f1t/fX3qjiRC1ZkWsWLGi\nKqdULshkMnr16kW7du2YN28eO3fuZMmSJdSvX79M3xfFvkuilZUHYimkaLjl0acSfdmKdAIs2N9X\nrVbrjTsrCAKLFy+u9HNQXFCzTp06yGQyNBqN9PI0MTHh2LFjTJ06lTFjxrBw4ULi4uLo378/N2/e\npHHjxpX9WXrDv672WF+wtrZm2bJlvPfee7z66qv8+uuvZVp1K6pBVRLyRnrLo08lrrKVMbTiOg1W\nBmfPnqVWrVp4eHhU6jxQdFBTfKEZGRnRuHFjdu7cyciRI5k0aRLOzs6sXLlSEkNQq9XSvaouKaHn\nRlsJyGQyOnXqRFBQEDExMQwdOpSYmJhij9eHBlVJKBjpLYl+VxlJm4LQZ3pIXGU/+OCDSmcNCgY1\nr169WkgMYebMmXz11VeEh4czYsQIfv75ZyC3L/KmTZvQ6XT069cPqD4poedGqweYm5uzcOFCPv/8\ncyZNmsQPP/xQpH9ZkkCaviCqFZZGPq9I9Lo06CM9FBYWJvWNrSwKBjVTUlJITU0Fclfz6OhoBEFg\nzpw5XLhwgfnz5+Pl5QXAunXr2LhxIx999BFAleWoy4J/LWHAUFCpVHz55ZcEBwezdOlSXnjhBSD3\npmdmZlZZIb4Icdy8+lSiMVtaWhqMTVSRnkeCIDB69Gg+++wzvL29Sx2jNCYP5O/J88MPP9CuXTsS\nEhJwcnKid+/ejB8/nvbt2+Pk5CRtg2/cuMGsWbOoXbs2P/30UyWvhP7x3GgNhEuXLvH222/Tp08f\npk6dypIlS5g8efIT4WwWNCCtVosgCJUWjisLyiMud/nyZRYtWsS2bdsM9mITBAGdTsePP/7I6tWr\nuXjxIj169GDcuHF06tQJJycnNBoNCQkJWFpaUqtWLbRabZVRJcuC50ZrQGg0GpYuXcrBgweJj4/n\n1KlTVdZCo7j5PIkmWmVpGi0IAmPHjuX999+nVatWep+DTqdDLpdL/4XcopJt27axaNEiLl68SJcu\nXZgwYQJdu3bF0dGxypqblRfVc1bPCIyMjHj33XeJjo7GysqKRYsWoVKpnuh8xGhxVTbRKou4XERE\nBCqVymAtJcXfuWLFCinvamxszMiRIwkNDeWPP/4gIyODCRMm0LNnT27cuGGQeegDz43WwFi/fj1O\nTk6cOHECBwcH+vbty7lz557IXMRu9hYWFk+EfldcekgQBL755hu9RIxLGlupVPLJJ5/wyy+/FPrs\n5Zdf5vTp02zevBk3NzcpIFUd8cxuj/ft28eMGTPQarW8/vrrzJkzJ9/nR44cYdCgQVLFzdChQ5k/\nf77e53H48GFsbW2lFeTWrVtMnTqVJk2aMG/ePMzNzfU+ZnHIKyIHhmkaVlaIihU7duzAxMSErVu3\nsmfPHoOOr9PpmDt3LmvWrJFoooIgoFAo0Gg0hdyF6ubLingmV9qykO0BunTpQlhYGGFhYQYxWIDu\n3bvn2/K5u7uzZ88eGjduTL9+/Thx4kSVbFHFSqyCTbT02TSsPBDJ9nZ2dsyZMweFQkFKSorBx/zw\nww+xsLBg/fr1Ur9dyL0W8fHxnDlzRjq+OhosPKNGWxayPTy5Che5XM7rr7/O9u3bWbFiBbNmzSIj\nI8OgY5Ykgq6vpmEVQdOmTWnWrBkuLi40bdq0UkSMolDwd1hZWTFmzBgWLVrE0qVLWbx4MX379sXX\n15cGDRrkM9rqimfSaMtCtq8OCvOOjo7s2LGDjh070r9/f4KCggxiLEWtsgVRFS0zi8LSpUuZP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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Summary" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this section, we extended the concept of a projection operator beyond one dimension and showed the corresponding geometric concepts that tie the projection operator to MMSE problems in more than one dimension. " ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "References" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This post was created using the [nbconvert](https://github.com/ipython/nbconvert) utility from the source [IPython Notebook](www.ipython.org) which is available for [download](https://github.com/unpingco/Python-for-Signal-Processing/blob/master/Projection_mdim.ipynb) from the main github [site](https://github.com/unpingco/Python-for-Signal-Processing) for this blog. The projection concept is masterfully discussed in the classic Strang, G. (2003). *Introduction to linear algebra*. Wellesley Cambridge Pr. Also, some of Dr. Strang's excellent lectures are available on [MIT Courseware](http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/). I highly recommend these as well as the book." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Appendix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below is some extra code to handle the more general case where there is a rotation as well as a weighting of the axes. Note the projection operator is constructed exactly the same way." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d import proj3d\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "fig = plt.figure()\n", "fig.set_size_inches([8,8])\n", "\n", "ax = fig.add_subplot(111, projection='3d')\n", "ax.set_xlim([0,2])\n", "ax.set_ylim([0,2])\n", "ax.set_zlim([0,2])\n", "ax.set_aspect(1)\n", "ax.set_xlabel('x-axis',fontsize=16)\n", "ax.set_ylabel('y-axis',fontsize=16)\n", "ax.set_zlabel('z-axis',fontsize=16)\n", "\n", "y = matrix([1,1,1]).T \n", "V = matrix([[1,0.25], # columns are v_1, v_2\n", " [0,0.50],\n", " [0,0.00]])\n", "\n", "def rotation_matrix(angle,axis='z'): \n", " angle = angle/180.*pi\n", " if axis=='z':\n", " return matrix([[cos(angle),sin(angle),0],\n", " [sin(-angle),cos(angle),0],\n", " [0,0,1]])\n", " elif axis=='y':\n", " return matrix([[cos(angle),sin(angle),0],\n", " [0,1,0],\n", " [sin(-angle),cos(angle),0]])\n", " elif axis=='x':\n", " return matrix([[1,0,0],\n", " [cos(angle),sin(angle),0],\n", " [sin(-angle),cos(angle),0]])\n", " \n", "S = matrix([[3,0,0],\n", " [0,2,0],\n", " [0,0,1]])\n", "\n", "R = rotation_matrix(30)*rotation_matrix(30,'x')*rotation_matrix(40,'y')\n", "\n", "Q = R.T*S*R # apply 3-D rotations\n", "\n", "P = V*inv(V.T*Q*V)*V.T*Q # build projection matrix\n", "yhat = P*y # approximant\n", "\n", "\n", "u = np.linspace(0, 2*np.pi, 100)\n", "v = np.linspace(0, np.pi, 100)\n", "\n", "xx = np.outer(np.cos(u), np.sin(v))\n", "yy = np.outer(np.sin(u), np.sin(v))\n", "zz = np.outer(np.ones(np.size(u)), np.cos(v))\n", "\n", "xx,yy,yz=map(squeeze,split(tensordot(dstack([xx,yy,zz]),Q,axes=1),3,axis=2))\n", "\n", "ellipsoid=ax.plot_surface(xx+y[0,0], yy+y[1,0], zz+y[2,0], \n", " rstride=4, cstride=4, color='gray',alpha=0.3,lw=0.25)\n", "\n", "ax.plot3D([y[0,0],0],[y[1,0],0],[y[2,0],0],'r-',lw=3)\n", "ax.plot3D([y[0,0]],[y[1,0]],[y[2,0]],'ro')\n", "\n", "ax.plot3D([V[0,0],0],[V[1,0],0],[V[2,0],0],'b-',lw=3)\n", "ax.plot3D([V[0,0]],[V[1,0]],[V[2,0]],'bo')\n", "ax.plot3D([V[0,1],0],[V[1,1],0],[V[2,1],0],'b-',lw=3)\n", "ax.plot3D([V[0,1]],[V[1,1]],[V[2,1]],'bo')\n", "\n", "ax.plot3D([yhat[0,0],0],[yhat[1,0],0],[yhat[2,0],0],'g--',lw=3)\n", "ax.plot3D([yhat[0,0]],[yhat[1,0]],[yhat[2,0]],'go')\n", "\n", "x2, y2, _ = proj3d.proj_transform(y[0,0],y[1,0],y[2,0], ax.get_proj())\n", "ax.annotate(\n", " \"$\\mathbf{y}$\", \n", " xy = (x2, y2), xytext = (-20, 20), fontsize=24,\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'yellow', alpha = 0.5),\n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", "\n", "x2, y2, _ = proj3d.proj_transform(yhat[0,0],yhat[1,0],yhat[2,0], ax.get_proj())\n", "ax.annotate(\n", " \"$\\hat{\\mathbf{y}}$\", \n", " xy = (x2, y2), xytext = (40, 30), fontsize=24,\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'yellow', alpha = 0.5),\n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", "\n", "x2, y2, _ = proj3d.proj_transform(V[0,0],V[1,0],V[2,0], ax.get_proj())\n", "ax.annotate(\n", " \"$\\mathbf{v}_1$\", \n", " xy = (x2, y2), xytext = (120, 10), fontsize=24,\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'yellow', alpha = 0.5),\n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", "\n", "x2, y2, _ = proj3d.proj_transform(V[0,1],V[1,1],V[2,1], ax.get_proj())\n", "ax.annotate(\n", " \"$\\mathbf{v}_2$\", \n", " xy = (x2, y2), xytext = (-30, 30), fontsize=24,\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'yellow', alpha = 0.5),\n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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p45/L+yPzhWBJ4/hSennmzBm8+eabWLp0KYqKigAAv/nNb9DR0QEA+M53voOtW7fi0KFD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\n3x+Kotih50yGiOG8WKY1A2B6a2G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